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

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                                         12,457,502,601,536,945,540,085,550,
157,479,950,312,279,598,515,115,184,284,367,047,566,259,111,523,599,739,738,
055,975,960,661,684,593,910,041,988,688,211,130,870,620,428,490,430,485,634,
271,939,241,796,764,631,759,533,893,044,220,073,031,790,211,226,835,904,230,
987,323,393,908,925,421,059,845,352,243,092,506,329,878,772,608,498,068,270,
553,908,906,401,484,562,037,360,119,337,578,023,996,926,617,588,627,497,617,
135,896,061,753,750,302,056,278,435,732,154,701,104,400,628,403,561,909,250,
339,010,411,633,206,329,708,662,149,243,628,068,160,943,329,018,308,665,231,
819,309,128,943,570,590,080,745,016,407,185,363,574,223,080,851,059,829,762,
014,441,934,849,716,768,131,999,464,918,990,892,005,580,980,560,979,908,906,
955,257,056,939,219,929,822,919,869,016,189,618,601,471,468,148,758,807,641,
597,263,110,468,845,550,301,646,997,933,102,140,829,018,259,560,313,725,752,
059,365,243,563,191,635,024,143,109,911,841,999,742,281,691,144,580,085,305,
309,684,210,870,860,588,565,329,166,552,878,890,144,709,207,832,810,968,282,
739,742,462,597,633,106,168,483,125,562,679,210,559,368,185,632,404,863,940,
553,009,188,692,100,383,389,425,125,823,765,285,197,856,414,569,347,789,633,
232,179,870,732,608,332,457,690,526,150,866,893,899,217,588,991,423,415,988,
800,602,045,451,208,127,482,602,252,072,206,283,172,157,197,005,691,452,026,
317,645,309,531,437,569,626,441,815,912,864,164,387,530,109,169,548,843,429,
352,451,915,182,215,283,638,992,628,927,353,380,161,194,532,459,025,680,244,
731,432,979,455,230,590,110,610,332,718,258,547,226,930,751,398,293,287,105,
164,009,039,579,175,831,062,548,151,022,087,793,408,682,835,237,325,734,808,
549,751,225,899,909,963,084,214,416,895,113,379,221,501,107,821,753,311,589,
318,609,539,624,319,643,007,658,459,068,481,768,357,435,183,405,644,684,119,
486,014,909,995,570,730,544,969,336,182,747,432,913,287,156,256,944,632,706,
258,666,428,693,902,442,243,749,347,778,126,767,908,826,490,925,305,815,363,
704,513,281,088,059,888,439,428,509,721,786,842,658,099,075,890,213,410,473,
921,598,666,975,649,841,773,519,885,381,035,237,109,311,769,159,579,086,737,
791,061,262,452,927,703,330,096,819,079,760,376,603,920,683,658,693,908,387,
954,673,649,944,134,787,433,477,636,912,201,905,130,477,434,082,407,774,322,
607,328,175,947,747,454,827,461,534,233,410,589,595,277,187,613,430,793,078,
890,393,726,029,016,395,330,818,896,928,751,503,924,724,810,763,791,756,854,
452,170,266,161,716,672,841,384,480,919,707,087,098,606,203,832,657,309,077,
886,782,405,416,791,125,282,717,883,894,359,579,204,838,577,433,671,309,882,
287,258,450,726,985,638,616,541,310,808,667,442,994,199,087,180,886,464,278,
241,819,273,188,088,137,404,308,256,078,992,630,774,727,754,916,177,810,008,
883,353,584,527,382,378,214,733,355,140,611,469,321,427,355,365,015,781,088,
325,687,189,846,184,486,025,980,844,399,491,136,377,476,946,486,664,129,145,
297,622,837,775,954,831,002,708,394,034,695,004,124,052,576,043,773,697,949,
437,182,855,980,641,288,959,487,857,102,251,188,409,517,506,635,003,740,933,
245,123,227,436,028,403,364,917,588,235,537,118,929,321,996,398,630,723,622,
726,592,330,765,315,923,842,833,082,302,918,680,456,109,828,287,629,136,940,
050,697,470,975,173,203,943,527,517,595,577,904,994,372,669,487,684,370,995,
772,634,350,550,922,018,143,405,137,943,907,554,887,166,915,036,260,911,896,
230,596,180,278,836,082,169,071,642,605,166,470,891,761,163,320,436,365,621,
383,914,798,987,011,557,377,808,735,480,173,390,365,359,355,767,608,346,630,
255,175,195,999,728,554,858,396,197,751,413,907,584,973,202,810,754,865,006,
002,406,008,625,861,426,598,112,947,104,285,653,805,148,349,217,666,844,339,
657,224,889,039,133,220,115,779,215,661,935,390,688,632,295,023,656,652,627,
045,118,052,424,623,727,647,795,160,283,330,529,116,649,143,491,974,688,183,
831,019,836,985,162,688,618,231,400,942,666,546,099,234,921,901,054,309,598,
375,392,327,083,898,758,063,028,894,928,051,535,335,469,332,434,368,293,052,
036,984,851,700,122,143,813,414,041,051,467,976,900,991,609,647,545,866,308,
965,239,423,310,888,672,387,454,595,251,072,848,666,295,924,442,013,629,538,
787,441,429,624,739,688,308,955,483,990,193,121,857,149,793,177,121,053,971,
821,418,789,353,812,810,463,868,032,335,289,802,009,849,571,782,965,755,219,
513,436,890,293,595,765,947,183,272,735,342,702,116,934,753,261,602,551,398,
679,736,536,289,254,219,800,686,453,300,493,485,220,190,535,377,918,583,390,
031,714,192,507,201,884,723,341,891,236,447,031,073,207,578,535,119,404,423,
156,713,551,459,411,413,977,503,612,386,652,091,731,722,082,704,846,990,286,
658,693,636,097,154,202,649,780,836,123,253,854,735,797,593,872,298,080,131,
990,995,133,085,434,390,547,594,458,749,768,826,275,009,849,286,215,985,603,
173,013,782,178,957,799,115,165,859,340,308,933,752,316,594,677,076,246,516,
918,922,934,279,434,803,696,570,598,093,805,285,243,818,010,517,117,654,376,
644,057,617,005,833,834,626,276,388,965,375,018,649,304,589,912,703,594,753,
642,695,941,552,269,997,000,933,985,557,962,278,809,412,763,450,423,994,675,
196,569,811,471,709,250,083,676,555,873,390,472,052,589,318,145,256,568,529,
011,950,866,327,009,661,434,068,606,119,022,671,362,403,727,747,694,929,690,
139,581,650,107,421,902,685,235,935,358,133,862,151,466,234,824,597,223,451,
559,983,037,428,152,583,437,639,927,977,000,505,325,487,150,698,905,135,512,
884,064,786,902,464,895,367,472,530,917,691,186,619,983,442,495,885,679,936,
584,276,508,340,718,297,953,553,669,758,875,971,048,232,857,377,301,134,027,
896,886,232,565,544,005,177,770,381,600,500,708,362,486,535,487,947,459,757,
980,065,858,300,557,814,288,802,464,611,169,690,239,175,071,877,431,281,949,
757,621,798,425,339,681,195,772,912,753,800,510,144,010,121,008,320,695,078,
601,599,899,767,631,217,644,453,515,404,823,624,421,452,869,571,253,023,636,
346,108,942,386,155,478,576,215,082,723,880,453,331,399,846,600,006,465,234,
779,452,294,031,608,541,559,265,249,772,469,350,641,995,788,205,638,144,162,
196,069,323,673,286,397,889,321,434,140,769,840,462,145,920,761,553,760,208,
383,369,903,487,483,460,454,729,983,530,791,117,436,121,949,476,904,447,042,
792,208,946,701,182,815,566,822,330,975,342,972,137,661,567,621,441,538,122,
264,573,199,540,051,015,066,449,642,682,985,076,802,493,208,958,803,112,954,
135,959,787,250,579,778,557,497,010,735,882,540,938,416,800,323,144,895,893,
077,964,362,384,428,481,781,712,512,783,879,954,896,073,738,508,780,562,560,
580,122,500,980,786,811,485,638,609,058,839,246,928,332,720,876,294,725,798,
384,786,769,062,079,672,721,654,531,825,293,742,651,391,002,077,327,179,673,
899,587,467,024,273,904,492,425,876,056,757,325,070,800,049,354,981,084,240,
731,788,753,134,832,701,692,767,505,444,057,012,454,557,299,584,789,939,067,
711,642,666,933,543,937,299,775,039,245,319,624,047,591,095,782,973,321,183,
630,538,586,955,835,638,726,688,688,638,885,145,141,278,924,451,255,694,932,
638,398,086,397,679,483,133,357,712,757,160,093,063,300,850,847,493,556,514,
980,029,941,190,218,217,167,945,010,463,052,457,446,436,355,759,200,352,897,
290,942,621,650,806,999,464,731,549,134,378,658,572,174,645,520,568,682,721,
553,756,869,051,845,701,867,558,918,228,413,215,718,721,924,379,748,705,136,
450,462,493,585,886,484,866,533,052,878,932,877,673,593,758,756,090,459,046,
726,250,506,181,257,971,095,345,360,859,433,451,894,204,829,917,568,934,053,
555,669,555,273,028,716,206,459,618,671,486,113,486,789,045,724,586,711,609,
588,679,831,889,715,927,247,410,204,993,068,305,662,049,996,803,143,014,497,
342,316,944,372,709,590,227,316,587,429,590,404,954,763,574,640,372,224,191,
374,779,189,225,358,993,460,000,915,397,226,598,347,220,225,026,434,218,423,
613,755,442,439,952,239,455,967,646,351,659,872,303,498,029,969,813,194,038,
293,789,797,035,047,951,259,021,850,620,027,760,636,737,890,447,492,788,997,
039,064,161,856,727,678,299,742,422,918,432,519,933,423,939,761,201,820,869,
577,595,245,657,735,102,386,728,783,352,354,929,957,762,743,726,248,175,291,
871,701,942,546,136,256,139,697,950,198,513,522,135,160,070,449,101,411,424,
854,840,735,926,411,315,873,197,400,598,910,686,805,831,334,867,253,265,747,
946,445,688,328,672,459,332,788,004,327,876,760,534,480,600,548,808,947,654,
673,947,513,096,564,435,061,011,623,233,114,451,849,757,279,630,335,744,330,
934,652,079,230,085,940,747,462,685,402,199,542,082,354,329,440,682,945,100,
476,258,901,480,924,566,593,803,988,623,449,858,866,003,979,167,962,481,462,
300,304,857,153,811,127,252,471,853,229,787,142,246,912,260,856,521,762,084,
539,595,931,251,777,784,362,472,445,626,888,328,591,982,379,758,964,085,649,
278,815,378,523,920,720,310,439,883,092,634,939,729,097,425,056,770,195,249,
609,025,059,347,202,347,716,707,884,952,872,002,402,290,398,775,857,066,074,
982,366,496,232,057,028,446,042,845,998,076,223,794,350,570,917,963,523,755,
734,769,932,701,575,365,705,034,989,534,841,309,819,029,823,931,030,443,778,
721,640,456,615,470,612,545,774,140,455,318,256,613,714,745,511,882,351,502,
064,097,401,292,274,583,864,962,685,541,336,921,645,272,975,947,880,176,947,
816,167,500,118,760,998,570,681,412,985,532,487,769,171,390,688,867,642,525,
451,050,081,471,933,117,369,308,953,055,254,399,658,090,290,938,157,296,826,
264,003,222,958,949,806,036,072,580,070,156,405,664,119,580,617,076,441,483,
559,567,549,811,216,032,174,323,116,048,126,394,391,684,129,432,399,235,060,
539,878,528,709,871,170,348,935,633,101,585,929,946,747,760,040,339,435,348,
125,787,423,962,508,288,075,782,749,512,553,826,061,353,122,460,314,959,740,
459,341,900,486,915,980,807,467,391,374,262,938,053,584,919,146,107,448,173,
299,191,120,174,993,131,087,713,578,637,744,018,643,405,884,246,282,657,527,
798,096,061,203,934,919,033,706,012,591,901,885,869,076,430,245,572,969,916,
176,361,798,669,790,884,702,263,118,894,942,420,478,680,215,126,350,751,108,
398,850,776,777,509,150,229,191,936,410,209,117,820,924,517,203,680,986,581,
874,138,528,780,246,539,848,938,090,065,248,600,750,699,119,480,409,030,915,
655,737,431,529,294,102,323,315,229,186,162,891,616,006,773,590,643,431,662,
555,073,797,068,508,133,167,185,059,402,909,048,871,146,879,109,993,166,328,
113,146,573,323,127,493,206,446,178,628,753,510,198,896,266,028,770,093,685,
527,485,692,530,196,439,383,819,597,293,885,976,367,603,189,872,361,092,882,
586,060,900,907,488,359,072,245,847,454,697,191,194,075,042,150,093,006,748,
779,324,413,971,216,502,833,163,467,547,980,596,555,332,977,206,601,483,673,
722,592,616,310,912,640,655,753,332,258,252,592,728,226,628,440,522,847,322,
042,829,531,697,896,510,047,007,979,829,818,096,771,068,086,453,765,684,261,
927,341,704,373,141,215,246,807,348,856,256,343,280,779,811,617,057,760,309,
143,208,852,192,988,593,241,466,150,517,380,178,524,342,348,148,555,136,469,
308,753,493,056,966,384,063,941,691,231,769,725,270,576,554,076,755,895,973,
703,961,635,885,701,596,149,351,636,476,673,608,415,086,450,458,411,199,811,
023,751,807,234,325,079,728,655,220,043,435,773,777,325,147,450,256,180,256,
651,306,689,519,177,880,611,492,627,210,215,471,062,023,042,220,434,964,142,
565,528,366,853,617,118,742,179,342,400,391,275,204,665,970,557,067,062,764,
968,337,709,171,248,610,218,815,091,477,134,026,462,008,748,665,671,115,090,
215,779,392,436,642,482,463,058,253,065,973,990,934,319,217,663,718,570,362,
498,173,128,703,361,503,234,835,748,255,774,114,018,483,690,936,472,250,275,
212,046,879,514,514,208,111,764,651,448,102,633,691,120,130,387,958,748,474,
749,500,842,890,241,210,236,445,700,150,063,022,500,999,647,612,939,616,240,
534,019,934,802,486,463,885,808,704,823,694,693,209,373,660,752,341,110,134,
974,388,576,544,177,444,976,654,701,984,068,929,440,040,464,991,248,795,207,
595,822,315,862,555,003,245,641,401,736,119,403,043,778,788,969,926,706,607,
891,830,025,074,924,354,170,701,393,262,683,836,721,485,434,172,508,270,464,
866,709,187,399,356,557,496,763,027,330,793,366,218,615,807,760,151,290,163,
305,064,675,455,985,890,941,721,808,904,028,577,003,260,605,725,432,726,083,
523,326,446,861,547,983,102,265,535,169,027,244,369,565,799,267,961,864,318,
483,777,455,953,742,311,131,366,308,301,490,820,756,291,450,065,989,198,323,
439,891,603,426,645,904,736,274,724,421,299,190,889,119,922,877,668,979,388,
792,158,149,874,151,247,275,851,714,786,083,809,853,826,826,831,489,206,739,
539,926,033,532,611,554,225,650,255,667,834,740,439,059,751,011,644,958,830,
738,462,155,601,386,010,065,217,056,479,150,758,720,234,134,978,274,362,383,
771,843,727,576,080,870,431,453,608,666,354,003,256,573,539,273,378,797,178,
382,563,161,755,478,159,482,411,108,579,626,809,535,020,783,764,877,327,706,
667,495,522,373,951,256,531,987,953,812,443,660,138,685,362,496,368,664,350,
948,009,109,238,866,921,520,137,432,785,192,286,070,509,602,510,114,669,967,
494,954,979,172,564,609,276,373,825,546,735,570,321,765,424,340,993,920,675,
690,009,818,004,329,880,357,449,981,586,399,938,402,065,375,799,129,653,505,
333,849,798,201,244,945,272,107,717,170,693,231,615,446,486,801,836,788,761,
644,993,248,580,811,113,765,098,613,083,207,801,159,712,149,138,506,158,778,
258,612,815,746,666,036,899,326,748,848,979,993,243,587,678,162,180,749,345,
657,245,001,505,469,826,493,513,012,799,153,794,151,135,944,941,570,470,771,
286,467,403,375,440,686,416,187,393,122,434,252,691,895,718,815,490,741,555,
862,184,378,189,677,443,963,723,527,376,308,951,474,057,237,184,322,183,369,
165,232,850,257,470,283,063,804,577,996,646,479,903,417,941,724,974,087,060,
286,782,642,772,029,175,499,094,476,531,695,961,784,677,427,895,578,584,465,
609,855,828,408,219,786,349,174,924,631,787,584,449,619,152,516,955,081,929,
662,392,783,561,019,315,422,875,125,181,870,890,792,592,818,397,225,859,768,
575,703,682,594,716,432,004,259,377,107,386,165,505,686,841,466,743,291,936,
643,520,478,557,468,643,675,836,835,955,071,196,318,934,186,685,460,775,969,
721,888,889,793,253,246,191,104,765,895,487,584,329,756,202,764,246,722,614,
801,863,001,065,909,669,297,168,485,075,311,733,413,692,162,061,581,346,080,
978,035,004,184,069,245,647,333,884,757,180,990,118,609,384,652,053,688,795,
818,905,702,518,924,987,741,750,958,767,269,383,671,380,530,547,865,943,998,
543,017,400,548,342,549,007,273,847,713,638,033,965,486,853,597,920,198,762,
591,945,994,985,207,975,692,242,905,729,281,460,376,332,233,436,352,169,758,
297,447,669,504,548,964,692,441,171,436,733,453,659,605,464,862,460,756,831,
785,689,077,143,920,305,011,243,084,358,656,856,060,918,029,732,195,357,580,
850,439,335,718,342,999,404,535,123,813,187,977,117,391,528,687,777,426,568,
119,415,794,788,730,749,880,581,397,682,701,000,117,268,548,129,064,233,027,
513,504,524,482,112,587,890,747,554,905,857,549,448,586,915,503,070,019,198,
120,321,440,019,137,320,450,290,849,997,716,840,476,954,630,241,414,372,285,
718,688,647,877,499,343,888,150,270,180,326,291,581,538,448,371,977,506,350,
828,455,943,921,477,133,037,093,241,393,128,173,139,536,942,932,582,239,180,
333,116,518,108,233,848,501,825,806,278,408,314,676,362,657,778,463,585,999,
524,671,631,736,988,424,950,734,397,927,957,469,038,864,323,401,530,279,754,
195,282,347,729,157,451,418,277,800,106,043,227,453,129,918,137,542,082,168,
989,969,895,425,591,043,967,926,504,580,007,677,976,788,615,431,772,418,743,
612,343,068,367,093,670,802,654,275,903,090,138,707,694,345,201,582,554,476,
810,727,040,401,036,470,294,160,960,368,620,225,304,036,582,586,599,258,050,
155,440,022,621,504,642,897,917,207,426,430,835,770,116,785,957,139,164,518,
752,652,809,091,454,425,960,470,821,191,845,896,813,432,045,308,184,807,578,
670,079,564,374,901,387,661,373,359,863,109,197,226,562,392,016,397,837,229,
426,642,834,620,234,823,620,042,403,658,111,500,988,520,111,581,616,852,924,
532,782,576,546,162,417,996,060,159,453,792,028,206,037,171,077,045,754,507,
334,990,763,077,562,016,270,915,617,513,644,471,924,740,543,634,685,002,480,
205,548,062,593,134,195,865,245,960,728,133,234,120,539,745,391,756,511,645,
143,492,695,471,692,307,212,481,173,135,738,157,616,322,400,507,185,102,480,
768,162,202,902,062,865,955,121,193,398,151,690,020,547,257,823,823,324,891,
827,191,598,444,274,752,555,471,617,248,556,146,865,138,429,160,784,878,259,
083,194,480,252,792,215,824,767,323,900,569,217,075,414,155,728,974,862,814,
157,676,170,986,065,585,577,040,860,182,197,366,871,773,670,289,790,313,475,
165,998,212,049,611,126,084,738,024,503,642,979,555,254,674,049,301,725,959,
166,850,170,625,411,111,366,366,105,753,849,127,642,498,035,447,169,900,363,
965,342,497,261,896,076,426,679,020,314,006,185,993,997,177,332,360,624,934,
168,319,032,613,718,832,934,398,724,774,469,292,940,117,477,112,206,420,549,
376,076,188,042,811,759,863,775,485,100,200,189,810,654,273,934,306,658,462,
112,429,742,607,670,769,392,413,767,694,151,416,197,259,710,618,200,075,697,
561,583,137,933,779,846,466,748,145,347,809,703,946,879,324,004,101,592,581,
395,573,742,894,728,256,126,631,578,841,643,634,643,256,327,974,081,581,975,
203,085,337,329,460,576,125,597,694,221,824,984,230,414,260,673,533,920,088,
410,552,769,621,230,130,813,879,202,017,807,427,141,092,932,662,893,183,027,
215,856,008,110,716,947,433,684,935,480,092,559,110,515,854,580,401,798,021,
002,732,691,506,556,399,236,137,950,893,602,821,202,994,270,712,347,062,814,
567,128,109,926,248,876,228,068,523,263,884,833,544,616,484,405,221,339,830,
957,065,588,298,263,406,591,049,399,376,006,749,047,545,620,141,337,013,286,
613,630,102,753,255,013,824,554,371,513,274,125,145,566,988,749,857,655,909,
362,615,335,334,658,587,663,149,089,047,073,969,615,486,409,996,874,752,553,
168,206,255,389,230,865,553,082,938,417,103,628,876,095,011,257,881,361,553,
978,934,419,780,210,644,175,044,804,477,840,621,328,815,786,171,580,651,982,
440,195,119,392,842,083,606,348,755,194,162,106,859,462,336,803,379,342,320,
764,026,022,884,157,330,162,842,789,002,416,579,848,281,562,387,022,739,896,
484,411,079,206,804,176,951,264,473,032,132,819,840,030,716,846,862,754,902,
862,872,958,767,824,081,540,631,879,988,147,585,517,302,667,417,941,034,151,
448,022,739,716,358,819,595,572,509,763,981,446,874,940,410,414,223,432,091,
775,151,871,533,074,430,392,034,413,124,844,757,205,511,832,794,170,487,298,
214,706,167,680,023,502,437,630,633,375,661,660,727,810,448,227,987,719,520,
272,716,042,908,315,261,627,527,994,018,931,632,553,897,982,130,623,336,886,
740,471,046,302,245,637,193,609,269,866,303,501,545,569,988,505,587,293,686,
594,677,184,341,376,859,739,560,726,879,697,553,772,466,978,282,587,129,756,
968,374,011,361,354,210,840,908,934,187,495,431,165,165,446,352,838,360,046,
011,012,178,591,996,256,434,016,517,418,386,193,255,924,987,393,135,264,537,
282,127,484,933,334,012,778,178,902,363,224,110,759,543,257,035,707,189,259,
063,682,390,067,110,299,770,242,992,266,556,352,852,340,785,014,980,559,546,
659,480,081,591,814,037,499,924,657,530,531,433,247,893,968,570,654,715,657,
193,952,229,191,801,461,334,096,734,233,598,070,099,481,310,509,268,821,252,
169,988,182,853,481,592,512,111,244,233,408,608,765,044,966,628,330,711,348,
411,039,339,821,548,079,623,474,146,680,002,278,242,909,002,709,985,086,056,
684,881,164,625,990,898,850,930,195,929,485,428,923,731,320,228,097,282,362,
639,982,712,118,407,833,206,700,341,216,479,941,554,258,812,956,746,841,133,
544,526,872,192,492,458,298,105,399,971,894,442,321,129,590,933,995,037,117,
613,819,168,474,314,632,032,749,411,945,464,745,705,867,864,626,992,598,719,
238,245,971,395,391,728,894,099,304,212,870,498,720,125,358,464,600,209,415,
740,056,467,216,071,112,372,214,634,062,268,410,487,606,570,247,960,666,133,
293,391,534,748,932,590,598,885,449,645,220,173,317,427,555,035,564,972,965,
168,453,705,797,787,289,354,049,760,265,573,003,894,161,691,812,901,205,526,
233,860,523,419,905,466,375,805,952,048,667,239,608,755,270,457,877,115,621,
755,209,373,735,590,864,027,037,061,609,779,255,168,899,899,996,744,435,797,
731,360,242,918,724,459,472,291,492,084,883,284,316,163,830,496,978,652,810,
621,934,948,108,378,635,532,011,004,659,074,744,656,797,262,993,116,545,641,
599,925,775,237,163,557,216,446,147,326,331,195,840,938,347,616,386,346,007,
454,766,163,649,380,202,867,468,467,173,754,060,750,131,559,668,858,739,739,
016,578,400,567,706,711,028,373,052,298,466,945,026,106,350,673,534,458,760,
385,274,603,998,672,773,896,451,787,162,174,925,627,928,303,562,624,740,498,
631,434,213,740,152,212,119,892,128,334,071,177,290,412,693,695,313,649,281,
987,901,860,323,801,227,192,344,322,416,654,508,825,424,820,099,737,736,798,
072,741,664,929,233,408,258,965,089,170,005,942,903,662,656,895,867,141,702,
110,740,904,658,996,498,015,630,833,815,809,823,616,052,679,740,503,590,080,
689,696,848,907,258,497,480,028,943,003,013,654,876,436,029,067,037,885,981,
134,028,040,955,412,623,953,341,894,611,569,403,192,189,466,560,677,814,821,
293,222,336,249,406,040,398,333,466,266,931,285,484,660,349,356,963,128,720,
271,305,650,479,384,780,467,672,886,168,725,153,931,242,090,862,578,022,324,
839,822,375,064,500,972,743,871,376,350,298,351,507,794,824,563,024,255,703,
133,271,008,840,288,088,735,267,091,883,880,329,348,288,213,270,432,366,239,
060,410,913,126,209,962,889,229,440,299,197,880,145,476,624,592,369,291,812,
178,611,180,043,827,245,752,120,414,541,203,255,699,401,930,127,523,025,273,
422,402,570,022,350,260,456,212,963,041,413,087,226,115,964,737,605,497,348,
298,668,128,348,540,782,251,617,563,449,577,484,308,892,231,877,615,538,269,
200,536,224,541,848,330,834,597,511,493,651,313,394,649,099,324,105,312,111,
008,959,085,090,974,718,546,861,949,318,626,418,184,666,853,857,703,262,178,
066,278,239,089,114,809,442,975,334,939,321,478,526,332,839,731,613,367,709,
268,478,504,848,888,499,906,704,492,490,675,464,141,375,304,751,339,006,633,
095,761,386,489,264,000,917,649,286,999,198,796,383,583,789,290,512,113,862,
820,640,991,824,530,764,090,816,939,008,464,265,716,628,777,390,919,309,268,
440,992,922,017,508,731,335,372,437,464,317,911,358,593,676,930,642,859,949,
074,592,345,717,060,436,253,093,403,162,501,721,306,410,408,949,274,471,770,
456,980,796,436,414,550,476,575,026,385,000,978,396,436,841,571,200,499,016,
847,293,157,249,010,888,581,818,456,511,632,089,424,996,653,683,471,139,826,
858,154,577,952,052,648,386,023,154,158,008,196,413,513,978,428,748,631,306,
740,883,068,146,822,147,794,402,105,344,675,544,613,456,738,455,722,505,978,
993,564,744,084,916,682,639,123,066,124,733,931,645,419,351,119,946,586,776,
237,629,217,380,095,987,718,354,853,027,066,002,833,954,216,973,381,771,460,
044,648,956,377,412,850,449,699,406,081,063,657,664,362,822,834,322,455,023,
323,199,267,446,232,863,506,697,106,879,651,947,999,262,403,980,498,513,709,
235,179,236,062,030,861,088,567,358,526,087,594,187,186,682,733,129,400,062,
445,162,721,541,222,478,596,889,023,639,177,289,270,849,264,713,198,383,058,
399,214,584,512,371,481,208,180,878,293,295,487,953,905,788,893,664,078,725,
778,319,823,638,943,242,880,289,992,723,310,767,250,210,590,241,478,500,335,
477,108,211,711,940,964,966,147,811,105,812,258,826,726,256,335,174,233,439,
722,675,343,091,647,440,810,080,009,242,064,881,965,814,054,598,712,583,112,
039,022,462,135,914,248,257,647,173,058,293,202,274,868,042,031,278,365,475,
991,345,288,601,565,605,948,289,793,372,253,899,794,769,566,930,328,813,364,
511,278,005,832,741,696,334,940,594,530,352,281,921,182,150,607,221,490,043,
235,492,781,437,160,065,628,555,264,119,735,251,492,668,126,809,941,578,064,
994,337,808,058,413,381,370,519,551,358,233,518,478,213,237,559,388,467,385,
103,710,415,933,983,514,665,331,371,525,497,927,022,592,290,101,557,722,978,
777,191,227,570,010,206,362,469,828,115,533,477,027,240,665,732,010,378,994,
050,635,444,355,439,494,233,037,193,423,253,375,492,450,447,392,913,367,995,
620,230,461,418,367,758,719,595,997,941,080,512,548,060,121,079,661,994,657,
312,570,759,887,366,665,911,361,069,500,564,666,459,119,579,009,555,099,502,
702,224,633,060,760,206,789,365,669,511,835,509,095,238,938,651,022,140,854,
548,939,088,948,746,867,517,783,579,729,318,275,775,150,704,828,214,549,792,
584,185,756,932,145,905,083,437,647,011,325,428,431,743,859,575,827,825,050,
667,127,426,534,935,945,665,732,293,625,658,728,683,759,260,958,257,992,688,
392,617,295,612,402,879,684,898,919,456,250,547,142,480,209,705,132,949,296,
289,830,028,006,793,594,453,899,512,772,632,008,388,791,826,517,834,368,673,
055,655,039,205,424,433,552,913,744,186,514,434,786,649,262,411,825,310,429,
576,441,874,959,654,837,797,235,988,024,226,922,994,391,677,973,973,907,377,
119,426,255,023,202,081,742,647,008,749,509,492,363,579,678,665,353,961,813,
050,414,595,524,338,272,198,017,532,695,245,084,962,485,448,072,941,417,765,
886,205,456,461,991,898,046,828,320,169,405,012,268,973,638,936,131,266,473,
369,953,912,896,535,936,766,132,317,532,327,848,194,116,310,361,986,880,360,
360,147,891,586,695,520,985,538,274,340,473,015,145,785,351,398,280,565,937,
884,453,773,868,146,479,014,323,990,449,925,509,077,565,086,111,001,110,978,
215,999,256,081,328,848,399,975,382,092,805,977,374,939,090,152,721,590,372,
770,890,322,625,177,660,646,860,029,802,247,408,992,304,043,572,712,023,388,
538,756,840,319,383,440,806,571,151,174,793,272,271,662,563,697,175,243,087,
808,688,897,793,725,457,616,877,339,609,959,439,087,014,550,382,827,580,978,
576,148,202,760,912,237,887,387,054,640,683,331,740,307,070,223,052,886,748,
376,948,637,922,226,530,724,287,137,786,667,060,123,469,166,844,415,063,674,
856,722,390,099,878,908,798,526,159,653,283,095,369,247,353,356,003,084,394,
048,958,059,815,013,814,573,344,435,663,393,286,178,005,205,251,298,909,014,
735,362,697,139,341,675,961,319,147,723,089,591,481,622,592,365,520,449,559,
671,158,789,260,931,938,982,576,292,446,628,332,501,229,410,972,176,860,251,
014,240,604,384,413,404,799,907,996,470,737,068,591,611,486,922,046,051,258,
451,852,569,115,842,288,889,065,170,314,239,270,097,706,450,951,295,562,542,
269,531,139,071,258,391,157,478,998,919,621,203,078,194,996,891,397,174,475,
885,694,044,176,914,472,927,414,166,586,741,632,028,816,299,274,499,730,057,
048,587,542,481,171,609,348,247,594,589,720,881,231,576,945,890,209,116,579,
677,415,256,509,858,930,096,106,989,136,301,134,400,559,937,548,421,629,767,
969,652,007,616,108,841,228,774,891,734,555,478,723,943,111,257,130,301,460,
621,675,113,299,526,088,194,789,647,865,102,673,699,465,345,667,328,433,568,
179,751,417,452,292,454,896,623,422,229,371,893,361,878,014,739,006,029,084,
605,078,574,547,974,586,658,109,038,129,093,571,953,379,097,745,756,925,794,
162,257,065,701,403,928,142,074,123,517,488,586,486,408,022,649,892,692,981,
959,392,196,067,490,125,519,693,860,967,672,202,218,402,916,562,826,728,283,
716,020,909,777,946,748,145,541,562,562,238,741,808,810,113,479,556,530,682,
970,106,858,171,825,177,001,162,121,431,399,206,561,685,115,009,193,274,988,
086,632,685,885,532,479,515,308,240,195,313,109,465,742,085,683,860,321,799,
321,689,240,615,878,108,959,760,592,258,413,822,375,849,655,447,924,387,534,
101,556,606,798,180,053,261,087,371,114,241,534,693,957,164,083,666,057,184,
266,412,528,414,571,561,587,310,173,833,040,144,595,811,904,791,384,436,016,
086,132,986,191,913,415,212,897,623,068,559,137,101,808,835,608,185,871,373,
668,335,303,663,789,189,595,024,475,563,050,104,153,754,326,984,277,218,548,
966,321,072,942,156,944,126,163,790,534,553,681,761,844,736,818,393,353,862,
106,159,850,901,862,681,212,316,834,734,952,102,918,197,768,840,415,369,111,
670,113,569,671,905,127,868,570,133,192,843,216,523,223,750,955,555,110,683,
747,316,005,013,084,433,173,505,227,466,610,699,674,888,339,654,544,433,151,
707,595,068,336,295,066,519,885,512,251,332,505,457,953,792,882,542,292,114,
119,740,412,293,939,610,744,402,305,237,636,789,902,445,843,275,268,478,695,
320,388,368,557,225,624,493,279,802,684,272,135,935,640,316,112,934,449,845,
212,299,169,964,519,492,879,642,808,191,361,446,723,145,024,261,377,258,444,
937,468,105,523,133,242,506,751,125,001,700,696,862,647,111,494,183,732,862,
078,673,654,421,380,276,908,922,749,974,053,582,161,215,643,577,202,666,534,
141,594,638,586,597,900,119,490,944,769,754,140,003,711,025,471,466,197,233,
904,124,363,880,145,078,963,193,688,872,507,915,704,987,907,960,938,959,956,
097,661,791,204,713,990,203,453,915,894,387,734,832,933,755,710,419,865,529,
787,568,377,744,341,157,790,881,329,845,925,547,450,887,141,711,398,725,647,
059,597,392,364,532,243,411,449,095,590,838,450,694,804,369,199,649,077,310,
894,729,640,431,932,670,673,666,911,186,352,373,466,516,939,681,966,051,401,
149,030,903,370,177,920,801,555,768,870,382,054,533,083,678,791,603,980,288,
107,542,620,313,808,780,467,334,274,758,169,807,195,322,230,215,279,969,012,
884,253,811,102,747,787,051,102,979,625,220,103,206,604,852,996,545,166,182,
808,369,084,994,155,689,220,970,216,662,661,581,413,944,051,338,363,850,416,
881,944,402,519,440,513,843,816,237,924,355,942,453,594,278,733,039,143,165,
616,757,853,943,791,648,103,716,472,945,273,475,542,692,124,493,107,768,982,
627,856,561,128,530,886,332,252,786,220,172,303,320,564,560,776,411,507,116,
588,673,153,877,662,887,139,487,706,209,100,252,059,189,832,175,035,840,719,
877,752,875,661,886,738,441,235,436,377,622,631,937,955,969,204,252,600,800,
443,560,959,491,276,773,072,519,618,381,189,950,847,108,497,877,680,187,912,
602,528,453,815,188,279,263,183,333,871,587,602,546,774,357,461,984,155,319,
394,637,883,517,919,689,956,271,244,352,952,527,878,713,259,216,895,083,079,
019,113,860,566,594,711,682,796,152,509,188,906,452,032,049,634,849,297,993,
363,068,753,764,962,499,559,511,033,987,340,812,061,072,766,284,202,154,743,
797,087,477,734,266,420,849,283,310,795,530,353,390,845,892,667,079,828,245,
924,983,379,945,372,551,705,929,886,970,172,774,837,742,486,567,924,497,319,
328,903,478,863,924,434,220,498,147,697,891,761,970,794,398,618,112,255,167,
195,818,879,907,219,893,464,422,336,608,179,548,742,671,244,847,428,713,609,
606,336,517,410,949,069,752,032,933,440,397,034,220,985,748,577,858,039,653,
847,052,822,420,688,569,798,890,997,000,123,075,584,801,373,732,956,995,806,
439,086,809,308,424,695,271,260,551,491,179,798,888,068,343,699,834,182,551,
630,270,271,844,224,954,125,457,771,859,618,189,422,807,416,241,422,746,605,
386,466,624,867,206,095,197,450,484,123,291,681,364,062,965,447,619,658,569,
195,161,320,032,419,100,988,590,455,210,466,057,732,793,158,568,085,908,452,
255,581,047,803,768,559,678,143,068,309,018,509,628,820,837,403,030,131,163,
833,399,459,825,077,871,123,900,842,229,950,169,117,153,146,407,427,064,115,
802,485,892,240,483,982,586,518,764,748,658,628,526,458,009,646,457,871,903,
840,499,763,253,924,395,684,809,704,539,312,142,789,852,445,774,346,785,054,
382,080,705,865,231,635,567,082,891,377,326,040,838,249,425,901,561,953,357,
246,878,475,852,333,846,945,267,344,219,818,148,267,769,891,937,644,039,733,
529,337,006,989,911,639,905,579,491,814,446,009,885,394,131,656,602,603,132,
576,432,301,269,065,073,923,637,561,065,994,896,188,869,467,089,064,884,873,
021,511,370,841,311,700,884,647,087,971,376,776,419,457,845,270,506,245,816,
912,802,717,910,673,086,944,518,032,614,562,509,217,794,669,251,085,193,647,
662,293,591,147,362,543,432,195,316,710,144,129,109,026,279,368,099,399,749,
402,253,035,316,109,160,282,393,009,223,028,770,155,745,003,116,593,002,190,
072,455,382,932,129,586,473,523,399,435,321,632,651,384,392,642,820,482,163,
604,928,147,271,350,770,029,353,091,314,441,104,790,715,036,534,424,839,468,
049,518,178,887,535,522,398,407,745,888,776,203,131,390,773,314,900,459,557,
496,940,505,795,745,641,116,739,650,953,874,147,971,614,112,017,518,394,115,
232,791,923,017,923,632,753,310,276,869,181,213,640,709,250,185,508,751,975,
371,622,796,208,579,614,553,624,320,308,027,775,813,101,417,294,052,495,748,
531,301,917,330,068,246,179,120,105,695,873,674,396,335,663,923,200,043,866,
578,582,385,037,407,080,508,788,449,753,756,122,015,821,879,647,897,417,135,
418,272,249,169,960,853,601,298,866,052,007,566,798,867,816,282,938,663,147,
161,499,094,748,686,303,457,910,198,518,529,017,378,687,183,969,344,376,663,
660,731,041,269,285,098,257,553,295,893,130,496,381,030,465,684,158,401,798,
461,163,075,366,449,661,452,630,691,152,150,042,507,457,791,122,509,201,159,
979,716,106,359,960,053,724,928,203,264,146,509,133,144,331,320,886,621,502,
453,955,936,527,726,148,055,550,204,215,546,696,192,941,560,715,438,438,867,
103,795,864,162,594,504,494,370,374,058,638,135,250,095,069,725,120,223,333,
706,364,792,771,590,890,366,800,707,970,918,385,586,491,245,390,715,564,298,
085,166,262,246,968,579,881,727,531,877,976,821,120,233,150,172,219,196,732,
758,073,970,160,556,668,892,264,021,430,645,118,934,870,931,111,548,117,187,
963,483,052,986,711,690,126,668,181,917,947,852,777,683,101,436,022,005,511,
191,131,048,460,836,311,414,268,722,975,992,320,558,400,915,885,772,973,067,
305,310,928,977,408,407,490,571,214,098,606,961,981,427,442,738,135,543,753,
592,799,899,188,184,417,415,940,492,251,733,026,674,765,127,547,293,078,787,
923,690,838,896,749,203,625,637,037,741,624,058,685,180,799,908,731,900,051,
939,624,130,103,968,518,469,536,998,557,182,152,839,686,179,332,479,907,601,
172,579,510,030,037,991,402,842,074,145,669,928,795,408,958,745,728,977,193,
809,539,705,975,075,090,227,485,156,316,904,943,595,123,336,472,828,047,597,
994,272,084,206,257,895,255,478,115,744,913,083,092,188,768,808,982,619,985,
078,009,132,917,669,376,813,398,979,761,244,367,090,078,355,037,222,907,098,
231,988,064,681,202,340,024,182,945,747,981,056,672,946,770,250,840,704,143,
419,019,143,302,297,909,381,262,529,054,142,587,483,251,039,879,538,984,953,
147,977,395,385,888,589,924,117,707,565,596,700,991,061,214,634,528,823,843,
810,409,543,090,454,536,106,961,344,649,944,102,023,958,913,079,386,159,798,
695,906,223,678,870,840,296,208,732,096,691,511,828,631,027,910,218,842,055,
660,104,869,908,097,402,240,384,084,510,508,351,561,209,387,412,775,324,735,
446,169,692,095,938,520,095,070,582,809,906,819,492,262,156,080,094,180,047,
612,127,400,204,058,630,801,294,116,818,697,031,217,697,221,623,928,545,422,
513,452,868,325,837,579,365,103,105,229,282,520,412,265,474,482,261,078,233,
246,487,819,816,489,544,162,785,872,650,083,827,951,833,026,347,921,435,239,
992,632,339,127,472,926,102,602,513,257,142,579,959,329,114,166,490,828,215,
417,065,554,819,359,290,034,529,814,277,721,170,323,673,873,778,720,947,550,
545,957,958,452,006,575,378,350,559,705,830,755,091,734,331,433,906,189,689,
182,616,859,550,287,008,948,339,265,658,995,757,060,610,159,258,259,134,348,
931,313,274,503,493,916,999,383,047,176,446,102,392,318,207,556,843,804,543,
826,452,068,628,772,902,155,768,590,769,055,853,384,874,822,789,531,990,651,
086,757,859,570,049,819,032,529,356,576,306,742,252,802,999,253,162,872,063,
090,122,111,013,690,433,472,338,726,188,293,767,229,242,878,051,583,923,591,
029,313,923,666,616,959,300,897,152,665,174,376,220,780,179,879,908,852,458,
450,549,921,854,208,526,337,425,208,531,059,667,637,518,237,760,874,275,763,
880,471,963,279,250,434,486,161,362,326,345,709,499,293,972,495,104,599,576,
545,327,304,075,699,130,052,008,405,446,203,788,327,810,248,749,809,219,296,
621,290,342,614,284,153,897,712,891,906,513,537,467,715,846,221,763,389,930,
270,300,490,378,037,728,313,825,340,576,311,270,863,381,101,623,950,344,575,
844,211,730,861,540,818,261,209,333,835,510,918,638,240,513,370,724,486,247,
234,257,218,036,534,524,697,271,576,091,288,087,180,421,938,828,281,583,966,
286,839,873,572,574,401,643,531,751,478,067,069,277,147,545,460,250,738,333,
514,023,841,309,257,547,809,215,408,348,936,534,239,240,962,594,080,016,190,
983,756,259,476,627,096,295,844,431,673,152,282,018,545,659,634,073,910,251,
872,136,558,967,229,593,769,820,375,004,810,883,551,948,319,859,621,625,626,
604,593,548,224,837,879,312,437,342,454,794,005,731,727,975,942,664,876,117,
341,496,199,179,708,099,837,968,106,730,965,302,699,876,856,432,019,924,713,
507,678,842,103,864,825,300,654,500,833,607,435,236,305,695,481,325,509,952,
815,914,091,059,161,057,547,212,263,791,330,806,322,821,745,831,675,021,871,
386,329,052,310,458,611,046,321,062,468,528,385,209,803,178,456,525,879,321,
048,330,618,828,228,839,299,919,344,546,168,631,907,211,651,171,454,350,781,
869,731,161,332,509,802,534,287,508,327,638,204,326,589,532,246,545,555,384,
456,844,554,748,272,908,941,479,105,341,072,347,786,684,493,996,668,762,008,
350,005,603,178,863,447,866,044,991,344,189,450,771,935,513,746,765,407,157,
884,874,874,796,551,843,010,567,300,010,789,732,809,029,690,487,514,827,744,
002,502,623,028,932,009,896,591,357,828,315,123,339,528,764,180,743,702,860,
472,824,093,546,594,039,462,888,081,725,350,754,729,552,533,506,177,986,720,
387,555,197,633,393,925,853,006,527,585,614,026,327,963,874,918,661,073,915,
683,005,377,781,355,205,319,659,852,705,614,679,265,838,755,045,683,510,099,
119,395,941,834,938,832,017,935,294,933,971,389,683,858,663,275,117,625,119,
344,937,095,416,808,114,409,920,092,067,706,600,155,393,882,829,673,091,052,
795,366,649,281,326,032,232,010,213,253,927,211,198,799,848,459,272,632,364,
725,423,383,499,309,157,974,218,353,319,603,493,730,359,004,853,990,146,658,
934,357,444,527,319,320,294,124,985,040,444,542,867,137,532,115,210,265,470,
708,130,277,359,942,779,370,064,704,185,658,586,688,937,779,644,623,945,059,
884,831,485,474,930,205,116,891,265,748,526,934,423,900,082,867,175,737,647,
707,033,392,549,086,153,038,859,621,006,419,510,181,805,883,598,916,341,371,
293,710,510,429,695,767,287,917,216,824,771,976,088,743,840,867,116,974,872,
688,407,411,893,616,401,699,643,509,545,887,681,266,567,025,116,540,833,872,
004,227,932,206,058,255,686,620,321,964,646,323,421,743,048,165,660,299,419,
030,579,678,290,230,448,489,243,055,902,703,650,794,062,290,778,095,462,440,
416,732,972,748,581,946,451,664,569,037,985,875,600,178,435,950,255,885,684,
792,907,343,619,797,105,524,039,885,212,588,070,650,950,742,200,358,437,582,
979,531,330,814,652,375,208,212,050,954,531,508,215,322,752,043,978,999,765,
214,016,517,537,504,987,652,208,617,947,570,171,096,403,453,608,077,090,000,
348,688,214,199,509,787,989,492,444,832,081,098,179,772,230,328,206,150,884,
410,787,936,599,260,973,804,895,028,901,976,522,397,809,046,656,169,903,101,
693,099,178,278,851,776,209,155,246,929,420,818,495,574,696,226,137,292,725,
307,312,963,342,591,008,498,303,528,492,612,635,018,615,793,811,173,422,603,
991,980,796,489,672,337,377,566,512,272,259,781,424,281,468,915,604,589,949,
068,954,135,059,378,461,805,420,532,040,631,563,309,494,058,942,025,109,448,
720,303,511,085,334,092,848,973,808,294,435,668,128,009,424,943,339,333,919,
303,605,951,047,463,169,683,249,594,478,188,715,787,374,590,790,903,163,972,
347,037,587,697,009,814,285,752,755,897,980,207,864,436,995,486,195,390,309,
039,495,329,853,973,104,186,991,305,663,359,383,343,145,178,730,231,918,532,
133,811,038,844,904,593,641,505,776,479,257,453,801,201,332,326,467,748,982,
800,669,602,308,167,507,649,135,548,772,179,803,257,392,169,280,937,120,477,
300,808,497,982,393,490,925,039,645,693,094,817,786,210,668,664,760,428,176,
657,012,385,832,566,936,103,252,772,930,197,847,073,155,957,512,626,177,049,
995,120,389,977,036,290,021,515,696,165,398,208,669,893,040,486,986,626,017,
249,027,668,023,925,147,628,286,113,094,627,904,852,418,934,536,436,073,189,
807,685,912,520,543,838,830,684,704,459,320,843,489,996,322,416,687,923,152,
145,078,258,056,707,584,165,390,444,991,037,874,767,424,993,104,015,189,159,
337,154,469,072,054,766,024,108,894,082,031,378,720,802,652,128,518,610,112,
838,156,530,498,170,112,646,302,343,580,103,453,458,804,408,330,074,607,324,
515,662,079,291,998,087,195,611,294,420,696,545,471,223,600,433,660,802,494,
585,039,739,531,047,930,009,198,191,459,450,687,664,212,162,946,713,852,797,
504,990,666,276,271,500,844,610,520,421,619,102,958,572,342,461,100,670,907,
704,367,052,660,657,720,327,044,942,192,778,773,495,550,722,102,787,120,553,
141,392,904,804,132,262,673,827,787,738,194,724,283,378,533,111,955,220,230,
566,339,959,552,286,751,212,647,094,795,276,539,899,258,826,912,062,319,578,
436,145,342,582,524,608,721,123,445,266,262,525,097,582,391,528,030,737,837,
075,301,319,356,954,027,921,519,381,057,928,562,420,968,588,149,267,295,005,
374,552,962,713,648,138,176,836,147,181,252,760,989,135,801,266,238,943,883,
097,050,934,311,560,585,616,426,395,907,225,155,425,050,407,677,785,702,043,
460,161,459,711,775,335,808,727,054,678,140,179,025,133,824,220,457,445,071,
760,202,784,251,036,832,384,345,032,329,430,749,692,902,117,626,658,801,375,
534,816,105,844,332,602,535,925,721,840,353,255,223,690,189,032,887,798,760,
122,519,307,156,486,779,334,691,891,588,357,907,364,904,179,942,152,029,008,
753,310,340,450,775,081,340,123,330,513,770,549,359,930,372,259,840,226,069,
529,631,795,081,300,649,669,118,395,541,843,903,879,747,334,339,866,543,625,
669,927,988,277,312,978,776,873,438,375,020,115,875,487,205,718,457,968,461,
158,866,985,749,149,132,482,082,087,463,866,836,679,286,959,659,270,181,504,
920,131,459,523,161,972,715,009,411,816,435,887,903,041,650,337,855,337,658,
037,368,037,849,184,857,712,867,774,905,753,960,589,581,803,217,924,659,594,
424,537,186,829,815,268,875,605,207,527,807,575,984,644,291,548,094,097,688,
351,579,558,271,575,911,246,300,603,654,359,020,218,552,814,796,521,474,945,
170,652,795,897,397,757,007,617,169,094,024,631,017,250,399,979,067,986,982,
700,273,975,565,272,927,338,515,669,206,406,217,273,416,738,958,062,984,290,
395,334,959,108,137,372,976,515,554,609,187,342,096,613,789,121,963,154,912,
022,284,592,447,246,819,229,691,417,793,528,437,297,838,368,982,718,855,209,
439,723,545,114,114,443,361,310,084,086,921,321,857,942,376,026,960,033,156,
880,115,466,629,890,506,287,413,816,008,858,225,210,366,610,056,513,999,223,
896,207,360,584,553,893,673,717,185,480,179,971,801,378,094,973,089,904,996,
659,134,254,905,030,222,147,325,149,053,255,617,039,195,622,057,713,603,463,
560,095,602,288,274,035,548,715,178,316,678,932,381,094,383,178,594,051,098,
882,966,085,300,540,762,086,887,032,668,159,420,173,309,906,696,350,420,230,
336,569,754,766,290,343,509,244,767,051,503,696,475,916,210,250,035,460,262,
172,417,752,407,863,950,695,593,410,041,579,422,306,795,621,635,096,286,629,
617,910,405,128,643,842,815,225,258,715,639,774,446,378,265,852,302,700,141,
638,726,894,258,367,920,436,673,495,276,955,255,932,259,214,364,053,172,763,
325,148,460,747,259,251,229,275,272,395,423,426,959,519,041,391,489,594,364,
674,163,840,438,073,163,804,811,959,435,686,335,046,168,805,684,935,511,755,
582,265,153,308,876,898,897,123,542,502,175,388,591,322,433,756,021,522,440,
182,846,111,578,799,851,815,867,961,062,579,024,733,923,632,483,319,803,353,
471,446,998,586,581,087,024,213,152,702,316,117,911,123,493,548,326,031,875,
112,679,978,286,821,609,029,274,744,933,887,377,004,938,794,782,833,110,194,
781,994,068,902,473,224,768,146,745,636,955,068,481,609,401,552,331,397,539,
131,207,575,002,676,457,903,452,778,120,199,982,571,874,535,489,787,301,523,
445,198,632,366,023,006,362,147,291,502,203,782,079,213,495,041,508,864,616,
675,241,747,040,332,474,116,592,271,098,631,592,837,512,614,118,906,515,131,
476,864,945,677,270,697,211,900,346,156,523,623,617,224,256,068,753,579,909,
124,638,627,736,151,377,646,019,525,768,053,391,227,640,457,956,586,802,046,
269,990,949,346,425,444,548,842,967,456,251,999,451,317,625,025,429,923,821,
668,342,743,826,504,925,229,140,915,733,440,297,303,184,256,613,411,856,043,
096,062,289,161,187,224,211,077,359,535,376,878,271,275,212,257,739,051,993,
749,666,900,501,392,047,713,561,764,405,043,096,628,425,298,875,968,689,602,
019,328,427,330,653,013,204,467,656,334,558,718,498,325,241,213,922,974,215,
241,073,083,183,212,625,270,640,953,987,950,525,407,395,755,303,650,293,281,
241,318,269,099,116,534,238,694,004,706,865,028,794,963,196,973,125,456,049,
005,052,467,441,954,453,520,404,550,523,803,850,686,573,770,561,799,555,066,
590,473,054,078,193,093,727,597,771,503,655,993,269,501,695,463,343,414,074,
436,237,342,427,976,738,618,156,373,027,428,817,929,506,690,613,892,795,552,
462,281,567,513,517,463,426,920,372,224,449,101,257,615,403,535,168,780,094,
965,045,556,783,499,156,451,454,064,602,600,450,946,658,968,786,435,001,197,
638,089,597,410,303,131,234,419,566,060,285,224,960,181,792,800,981,162,000,
474,157,447,834,585,624,701,599,901,722,580,796,045,660,374,322,696,321,053,
163,021,781,358,539,376,383,256,878,073,453,158,210,309,499,065,615,674,086,
904,272,226,528,603,017,937,433,780,424,152,135,726,757,080,146,216,421,610,
068,927,211,130,873,468,942,369,487,093,703,026,110,795,630,517,245,003,017,
816,532,003,710,857,178,995,216,961,442,411,606,983,160,133,712,176,397,175,
601,786,306,702,596,514,570,235,135,051,560,042,829,377,755,328,947,691,813,
276,038,402,710,078,373,807,771,857,671,512,923,168,535,671,984,765,046,650,
768,749,323,131,538,765,023,539,138,913,994,822,780,473,459,303,912,525,834,
737,811,502,908,867,014,172,305,417,586,279,871,563,373,951,660,195,300,161,
901,038,616,298,502,246,549,043,808,237,840,660,036,898,985,028,269,655,614,
262,235,902,195,599,283,517,224,025,111,250,560,935,707,084,437,641,754,454,
656,456,402,516,295,497,891,989,616,021,991,139,524,301,713,239,256,020,261,
821,351,245,878,647,455,939,251,987,109,687,722,340,365,590,625,054,766,652,
448,155,236,018,427,913,651,898,273,850,119,592,504,286,308,150,290,933,636,
823,628,425,860,340,035,669,561,037,421,942,096,402,215,268,245,054,564,319,
050,541,131,070,369,118,470,068,022,806,741,349,974,820,970,231,702,827,752,
300,083,447,161,124,167,763,549,305,732,780,036,671,529,850,759,993,181,167,
096,760,483,572,874,225,438,648,619,679,361,979,533,906,806,499,364,431,495,
479,082,934,861,714,243,701,727,853,019,049,473,451,644,770,430,751,053,493,
658,523,156,916,286,937,013,764,561,644,934,287,990,344,426,383,502,954,115,
220,419,489,355,588,256,049,487,210,326,005,809,280,012,078,932,137,257,463,
768,019,030,062,487,373,646,771,530,701,316,109,429,008,912,015,805,272,890,
391,013,934,689,430,257,246,510,699,016,276,968,637,843,055,052,817,472,421,
374,263,361,425,579,351,226,130,080,601,248,303,303,770,513,626,342,935,210,
255,877,623,053,019,113,238,088,607,582,829,407,876,762,340,674,240,532,969,
520,448,007,786,247,061,381,778,312,196,921,968,162,351,892,863,405,495,333,
054,705,327,415,087,559,209,731,253,647,516,983,307,477,994,576,573,602,404,
734,582,356,328,602,932,644,524,673,111,821,083,363,032,093,083,659,737,103,
230,276,964,157,996,235,178,977,426,524,506,150,319,380,242,671,339,355,274,
001,026,532,798,689,236,513,848,758,596,899,081,904,555,939,613,808,113,423,
048,232,504,133,516,827,981,896,813,980,527,588,659,654,558,643,452,938,563,
006,893,922,399,715,643,431,473,186,844,998,567,630,521,676,829,766,884,938,
251,517,244,197,691,258,563,917,710,628,964,292,861,667,018,163,293,677,087,
409,439,187,647,344,571,026,403,179,554,088,484,897,070,456,230,074,738,915,
656,335,018,160,372,491,623,415,784,597,197,883,875,497,745,390,758,324,098,
227,529,980,262,105,864,487,789,108,257,061,104,627,244,809,661,432,419,676,
251,798,760,984,308,499,582,721,387,794,928,626,243,045,190,006,816,570,112,
655,066,931,660,959,906,489,370,060,443,050,585,524,090,622,726,158,931,292,
274,995,134,873,555,325,393,010,032,340,502,883,514,041,542,942,497,030,113,
641,245,595,919,561,476,317,910,917,204,002,943,590,917,455,276,536,846,464,
033,287,564,710,371,268,105,557,295,585,879,492,555,747,801,823,144,775,352,
192,047,448,311,381,819,406,300,637,783,154,082,484,326,722,140,106,320,363,
677,838,447,406,533,140,486,361,252,531,922,754,438,640,076,254,746,845,397,
333,042,097,095,599,824,753,433,300,536,370,797,074,190,015,162,746,027,672,
164,226,276,067,622,869,108,926,400,657,414,619,171,648,793,286,892,464,199,
702,252,528,178,195,373,553,709,259,027,974,939,262,872,797,239,016,053,598,
435,203,783,496,268,636,472,403,002,710,660,960,738,052,386,976,700,958,504,
087,701,100,492,318,568,448,707,964,078,887,024,415,904,144,381,154,492,487,
032,837,901,895,550,492,982,766,200,691,745,379,176,860,589,955,391,867,830,
747,792,977,283,039,840,091,947,543,875,972,051,864,922,233,889,793,286,519,
890,132,590,297,056,328,218,300,587,426,486,232,861,706,659,275,838,050,949,
216,374,824,910,785,109,824,540,153,485,367,522,467,366,585,051,990,319,881,
378,699,723,614,450,822,923,655,320,707,045,670,079,403,673,123,197,512,265,
454,578,467,400,464,663,399,992,414,867,755,153,394,030,857,562,385,703,047,
684,956,507,376,569,575,000,372,137,660,173,680,038,758,336,144,020,601,549,
205,160,065,446,143,418,570,404,998,600,220,070,980,987,850,235,004,961,947,
831,916,796,178,489,621,065,179,256,248,396,560,476,960,951,331,081,335,031,
469,785,419,614,078,706,783,603,131,641,012,530,684,146,994,092,695,787,939,
859,334,069,446,509,706,279,112,391,988,241,797,714,396,628,278,707,033,098,
057,905,768,657,164,558,050,769,350,245,169,897,156,851,883,446,721,051,256,
302,277,120,702,410,592,917,001,879,410,630,946,540,128,148,901,244,681,556,
382,015,477,752,899,461,306,053,566,411,684,748,556,367,458,839,327,423,091,
961,765,675,502,301,792,963,552,720,831,320,367,993,975,574,473,281,702,106,
272,999,122,432,427,644,900,382,817,958,160,445,794,880,084,606,310,249,412,
625,327,073,699,526,698,482,867,389,029,088,299,220,134,988,692,803,000,320,
487,617,802,284,874,679,694,156,125,438,608,798,916,185,097,433,581,089,601,
689,024,050,906,058,134,357,844,487,089,664,348,264,097,841,283,151,962,581,
979,443,168,889,215,015,706,203,503,413,525,016,546,659,800,957,007,536,975,
340,977,514,129,924,152,154,742,466,859,905,196,543,688,709,225,911,824,901,
165,523,919,622,086,718,209,184,653,533,860,081,332,288,087,221,872,953,828,
546,416,599,407,798,541,580,824,853,387,200,928,670,079,486,275,043,106,313,
167,755,312,847,549,963,707,009,792,349,924,719,201,914,624,385,356,718,390,
577,218,436,264,077,033,539,922,026,888,398,418,077,251,679,236,273,487,806,
046,138,806,725,359,351,925,409,109,508,900,744,734,346,397,740,024,949,711,
490,967,465,745,154,193,917,845,725,934,318,356,175,813,088,083,754,275,766,
630,932,441,332,227,435,168,247,276,772,675,557,864,947,211,088,298,905,476,
027,892,553,029,818,877,642,799,451,701,620,963,951,995,733,705,134,706,413,
706,136,098,816,878,058,555,800,837,207,977,311,411,394,799,273,960,452,037,
768,486,955,913,985,558,756,190,998,361,544,256,173,963,531,439,316,936,686,
398,014,259,691,320,918,352,692,483,852,065,658,235,600,059,504,827,491,882,
912,466,054,412,995,885,176,773,340,833,566,660,792,442,412,378,681,331,017,
238,217,460,517,943,386,289,466,757,623,267,831,638,795,400,265,158,986,291,
388,349,970,342,922,368,218,799,584,338,327,059,991,056,985,549,591,938,532,
922,313,705,819,310,753,958,999,925,710,133,796,399,206,630,802,686,257,874,
399,773,587,000,268,362,703,502,442,647,190,331,874,289,970,359,019,741,328,
682,783,193,771,437,223,583,402,891,610,117,963,404,347,087,999,809,213,779,
591,528,922,337,533,109,345,128,440,153,200,480,664,335,079,115,863,727,602,
401,153,006,387,119,647,359,839,287,571,689,257,977,657,972,159,333,686,978,
773,796,983,384,667,984,039,022,465,988,484,118,053,057,411,927,238,468,810,
562,974,959,626,062,803,165,495,947,389,673,825,180,737,790,609,717,255,945,
706,395,490,250,836,327,701,013,897,724,335,186,144,837,519,633,765,007,421,
245,656,919,718,212,088,785,352,562,927,261,332,456,862,377,856,973,437,946,
727,327,887,020,188,289,674,492,284,342,291,149,504,427,042,370,456,862,043,
049,308,452,270,398,826,458,240,311,287,174,784,578,682,823,479,630,742,113,
924,024,907,433,106,468,020,745,575,696,850,680,630,010,719,238,709,206,666,
634,219,646,133,240,409,622,607,932,086,092,219,973,958,175,231,696,271,360,
375,815,827,294,863,774,822,825,576,687,255,415,839,766,054,535,719,727,865,
140,833,199,986,316,162,902,695,913,704,982,502,595,913,296,280,456,329,315,
925,178,339,054,857,320,121,666,449,607,914,650,094,999,087,290,638,727,072,
844,772,329,616,711,416,602,013,278,004,746,592,576,853,510,597,793,259,045,
663,411,414,209,978,861,693,544,023,978,761,730,083,554,822,981,975,984,220,
164,403,052,159,340,086,364,324,657,046,357,151,793,998,354,362,903,711,148,
031,749,350,010,601,504,418,981,519,014,517,066,457,899,983,574,446,872,036,
970,072,249,695,475,047,517,352,133,529,486,736,139,041,435,074,489,980,687,
450,859,616,725,609,539,235,263,113,154,596,459,695,296,518,299,641,577,569,
763,052,515,272,875,404,310,585,227,970,023,342,370,395,504,219,276,808,149,
424,007,393,910,743,295,674,153,214,837,295,176,154,940,560,021,672,884,623,
150,091,782,362,507,164,609,209,245,655,142,080,480,192,502,805,478,810,240,
723,393,548,245,814,971,386,141,964,211,597,228,204,054,173,824,563,940,855,
181,056,645,052,460,228,646,032,831,726,941,800,126,145,541,172,672,640,500,
799,944,806,785,660,451,143,451,760,174,027,289,383,782,006,748,194,087,072,
498,236,058,063,903,469,820,505,341,714,010,776,511,363,843,640,160,095,316,
685,144,131,300,286,716,946,338,258,484,527,970,846,700,020,158,417,838,338,
967,853,606,435,132,226,720,694,213,658,149,051,073,202,016,346,202,615,887,
676,243,777,291,480,209,251,452,195,346,177,684,519,648,966,892,192,532,814,
558,883,343,290,789,656,186,504,048,683,736,800,430,943,627,001,048,615,189,
893,112,267,369,350,159,059,066,093,933,317,690,672,088,786,635,432,859,983,
558,288,394,321,335,724,988,922,770,425,191,214,526,371,995,830,715,527,671,
785,591,295,238,918,530,482,151,400,771,457,641,465,623,207,268,921,872,372,
478,857,661,952,928,298,012,979,308,930,906,964,910,581,145,031,628,994,381,
383,313,273,144,222,295,900,193,447,496,698,803,339,612,075,913,010,572,441,
699,762,752,822,380,004,091,361,238,462,773,599,578,458,814,146,535,441,367,
769,653,991,095,132,119,565,595,039,142,104,466,138,176,905,651,079,438,349,
403,922,338,910,890,734,732,932,150,047,514,662,763,843,480,828,034,045,821,
581,033,734,217,443,084,889,931,120,275,156,047,208,943,890,770,144,567,479,
150,520,895,612,421,741,800,818,985,070,437,820,309,123,987,190,392,452,720,
937,737,402,721,197,883,882,253,846,307,223,860,811,373,084,989,571,043,604,
593,637,384,792,818,999,665,276,833,370,674,252,614,574,598,074,894,606,043,
537,419,289,207,525,280,807,254,012,049,674,130,604,442,521,229,735,631,532,
079,415,031,020,341,572,133,170,987,420,748,615,767,495,227,976,391,961,035,
409,238,924,754,751,399,874,243,300,186,242,758,895,973,316,860,230,881,172,
243,651,275,160,825,555,664,895,136,682,709,435,997,773,973,214,051,445,201,
436,417,975,690,740,454,349,948,719,249,047,669,832,914,567,191,137,957,091,
736,204,915,758,258,828,205,301,792,832,645,145,285,642,980,797,009,769,604,
700,869,916,443,291,138,780,220,610,162,909,554,125,418,287,694,057,941,183,
824,591,471,802,058,047,364,089,304,673,598,977,581,124,847,724,526,936,329,
955,121,984,236,725,591,102,415,114,604,792,750,518,549,388,219,060,668,514,
678,195,923,260,207,165,319,478,298,039,585,555,130,961,984,398,947,390,880,
483,024,106,132,195,431,228,363,572,014,349,098,046,340,176,973,684,921,842,
558,585,687,141,931,855,741,761,895,034,986,787,899,675,093,911,591,787,385,
165,768,600,394,111,828,201,981,941,585,382,684,440,501,823,457,593,499,425,
810,956,368,155,650,959,902,893,099,499,966,986,557,209,547,706,477,450,788,
785,494,482,695,443,447,951,555,871,541,543,762,774,292,267,547,739,143,600,
218,057,592,256,778,555,796,306,651,229,698,905,494,411,490,759,455,934,720,
370,838,226,049,697,258,942,347,980,840,462,705,812,394,055,566,725,439,587,
255,541,233,745,726,794,631,472,482,123,578,915,249,091,519,206,598,744,984,
537,750,385,646,400,995,680,979,921,519,751,974,302,933,378,566,194,124,488,
673,664,585,128,058,137,405,750,435,530,074,802,210,613,404,305,896,594,225,
438,842,785,630,878,761,399,248,116,267,059,784,505,233,480,923,053,608,345,
628,090,614,188,702,956,524,470,587,221,450,839,087,990,981,965,675,027,828,
211,290,661,500,743,894,988,815,335,169,476,294,475,666,375,652,041,112,281,
481,515,005,073,696,705,145,307,815,910,873,627,946,175,906,782,406,686,330,
258,010,819,692,922,653,490,175,577,303,788,316,246,906,760,820,478,147,537,
152,129,174,775,411,980,811,523,361,200,790,235,514,471,619,509,720,549,855,
575,509,961,373,989,560,808,216,213,024,155,807,200,071,909,504,835,427,138,
087,715,158,787,796,026,304,389,743,642,556,369,510,324,713,929,552,160,984,
542,673,644,952,391,742,369,958,866,405,858,096,880,007,934,256,293,088,633,
742,833,178,080,646,405,904,490,046,177,869,777,194,738,934,597,413,115,168,
778,594,243,808,611,348,203,152,898,652,807,896,797,396,071,353,980,985,346,
673,239,120,573,175,764,453,045,824,682,152,368,014,702,568,613,696,076,419,
370,157,143,973,124,564,856,830,233,486,758,891,585,005,754,565,473,840,477,
289,880,528,525,302,176,046,502,955,344,922,537,341,912,173,194,791,357,159,
026,931,436,123,822,691,909,564,629,197,853,548,926,738,767,103,147,310,316,
404,576,485,106,771,332,642,353,967,343,455,602,714,988,571,359,898,524,020,
992,807,657,579,578,675,180,366,174,285,349,344,005,564,163,948,006,136,908,
830,741,439,514,014,813,283,784,622,308,346,574,239,642,924,476,613,083,966,
498,679,949,156,823,663,300,714,442,430,746,032,497,862,997,423,775,568,704,
368,567,123,027,811,960,271,597,636,287,797,485,385,939,892,247,911,753,811,
226,930,887,709,283,392,069,771,908,185,624,002,733,444,588,850,116,927,887,
984,112,508,656,130,313,009,121,001,382,237,456,221,900,129,380,316,107,804,
657,213,709,504,406,508,886,578,763,454,213,617,856,588,659,665,679,757,681,
870,513,020,149,004,394,604,910,980,973,439,424,967,777,785,921,101,704,906,
008,941,449,864,929,504,487,157,881,842,557,051,226,228,063,599,423,372,416,
862,548,410,225,151,854,198,161,171,680,442,509,842,770,453,651,806,179,550,
876,538,844,225,670,239,550,010,949,127,241,616,755,273,263,730,544,590,395,
415,283,591,374,605,081,289,342,505,205,161,918,783,723,705,585,005,710,524,
937,693,742,858,225,256,163,819,312,375,761,785,973,059,477,212,981,203,728,
361,694,045,194,472,318,611,965,272,749,997,996,455,862,765,514,993,097,649,
990,090,771,082,764,233,846,906,774,143,728,048,843,817,290,201,796,049,130,
241,560,984,419,109,015,412,798,340,064,926,791,176,066,197,253,105,513,825,
706,840,050,525,923,391,734,383,421,062,548,104,762,208,986,862,821,539,650,
095,351,942,364,237,530,948,812,912,486,606,180,379,333,550,505,111,353,148,
609,161,912,846,198,141,428,566,792,455,628,663,603,057,387,137,064,199,444,
472,626,640,041,070,039,733,080,315,383,986,707,922,380,292,576,596,662,546,
440,826,216,778,768,231,001,000,725,686,112,539,083,869,869,322,881,275,846,
985,554,670,717,878,520,525,963,317,620,117,834,687,669,174,149,736,309,008,
682,564,490,027,852,104,647,747,956,276,213,941,708,724,943,551,579,327,839,
995,544,790,572,123,141,111,322,716,976,874,146,663,764,234,633,841,001,678,
925,397,728,669,276,525,582,519,184,369,766,514,414,688,985,587,559,862,991,
956,823,220,958,022,329,142,951,287,973,629,501,746,512,625,820,428,048,354,
425,495,710,009,214,307,825,057,315,903,867,384,910,266,711,278,766,068,889,
675,738,752,948,263,963,768,630,544,617,435,182,649,366,184,141,528,737,748,
896,340,335,974,906,550,553,558,165,719,135,574,074,031,113,968,245,173,638,
426,259,928,899,192,304,128,946,141,965,645,402,371,242,750,206,894,831,680,
008,873,645,288,574,005,008,672,021,118,243,816,201,603,011,932,324,048,268,
029,397,411,625,945,581,156,182,866,223,844,233,321,886,758,963,029,877,848,
663,978,228,730,483,245,124,540,738,854,311,184,624,571,006,979,551,137,456,
132,889,533,905,191,617,873,362,052,546,212,407,381,974,843,276,163,610,114,
730,442,968,594,934,827,503,574,011,599,933,892,773,310,100,601,648,845,218,
740,677,664,051,317,352,513,112,088,269,761,200,153,030,183,661,997,771,873,
833,460,513,198,005,293,613,057,612,331,126,892,901,042,595,639,765,934,084,
337,370,084,391,224,569,829,352,426,849,731,726,140,716,493,749,125,130,349,
664,207,446,743,982,966,696,354,423,221,390,595,566,549,720,150,621,445,389,
362,898,583,452,070,931,261,276,448,710,188,271,569,703,060,705,855,270,047,
640,020,385,098,361,411,840,762,823,200,690,236,687,990,301,723,536,279,382,
994,149,432,305,267,604,092,187,333,233,146,528,741,267,956,895,619,528,418,
766,398,297,879,749,526,173,324,401,038,602,549,618,255,194,816,289,653,080,
628,414,256,230,550,427,562,757,360,550,697,250,610,807,725,775,255,912,535,
386,257,359,327,739,813,599,279,514,934,920,351,729,711,115,066,762,829,386,
162,390,069,283,422,297,995,537,394,895,516,568,263,234,979,407,200,846,979,
907,895,103,353,676,730,367,158,772,193,207,831,722,440,404,588,759,273,638,
064,025,522,531,538,214,281,752,604,740,625,229,157,416,782,844,254,169,492,
511,860,305,784,101,846,194,274,760,985,069,564,699,614,504,012,535,777,532,
436,695,962,219,106,475,077,535,274,620,639,173,688,232,357,462,980,465,633,
364,381,584,401,631,983,632,541,629,448,025,843,910,760,943,884,741,022,954,
657,900,632,104,456,707,086,551,498,726,248,629,028,745,052,196,908,537,719,
063,588,619,738,422,946,579,156,171,669,375,545,852,503,002,266,863,922,056,
093,473,964,451,248,648,600,842,118,578,789,719,042,467,368,237,951,177,494,
490,575,975,147,957,210,568,859,313,227,241,065,940,172,307,129,656,989,387,
471,636,829,899,167,765,804,768,773,134,071,048,526,759,125,653,265,661,405,
163,614,959,085,112,725,317,131,379,742,016,783,303,836,984,351,450,961,450,
307,918,277,161,143,414,205,370,586,537,088,229,850,658,927,662,688,194,714,
900,541,450,498,425,098,451,900,664,911,476,967,929,411,982,644,681,925,254,
621,642,885,681,527,743,649,804,487,727,880,515,811,525,959,736,981,050,760,
055,514,621,259,197,315,473,200,008,351,250,449,902,765,474,123,264,562,383,
976,690,424,536,532,704,027,732,055,956,651,454,144,421,238,365,279,897,351,
859,522,632,961,790,456,691,742,061,786,007,933,969,500,847,214,029,248,880,
733,306,489,864,361,254,763,059,362,630,710,683,280,109,706,775,128,992,188,
323,674,553,938,126,452,459,226,992,527,373,331,883,032,736,512,120,602,291,
969,686,804,574,636,126,363,478,200,665,205,320,982,451,336,963,654,581,421,
942,047,178,766,608,906,468,301,006,738,458,566,572,152,702,315,071,806,013,
221,163,492,562,727,309,703,045,435,752,528,938,243,819,237,823,641,770,410,
651,430,664,604,067,826,054,721,141,353,064,423,023,682,574,010,299,614,719,
465,018,257,872,104,671,118,206,386,928,722,900,430,961,474,479,610,363,633,
679,917,148,170,621,246,790,966,907,948,836,282,671,919,219,657,291,288,861,
358,277,854,025,526,498,843,927,554,448,969,973,542,910,845,329,418,382,253,
262,035,347,397,530,175,939,264,705,185,952,586,827,009,616,521,543,778,241,
950,530,797,204,773,051,436,094,214,345,488,678,459,556,204,731,921,731,322,
083,418,001,623,007,675,860,910,077,126,522,565,324,210,790,544,171,173,025,
997,219,858,370,098,768,090,383,019,401,721,070,307,318,455,995,684,901,889,
790,894,315,046,305,553,656,297,811,383,382,196,159,140,250,424,428,297,647,
832,593,019,810,535,172,270,855,778,203,012,816,570,916,369,763,496,148,989,
772,398,728,499,922,279,171,983,009,516,239,162,927,420,044,626,283,952,053,
954,789,860,506,454,984,784,003,120,405,793,747,020,225,682,619,909,498,563,
321,663,957,151,876,542,165,495,822,019,759,454,149,909,711,854,621,207,733,
398,341,485,035,404,240,879,691,968,483,015,548,076,331,740,001,142,283,382,
385,667,093,162,403,980,301,955,305,885,094,569,016,297,145,794,372,205,108,
209,209,609,839,119,928,845,959,795,299,359,946,706,127,138,772,870,950,872,
243,931,633,421,231,915,383,482,472,800,198,420,945,416,440,225,452,974,368,
077,432,058,469,106,986,612,317,193,451,701,102,792,133,537,627,372,855,162,
875,525,970,887,853,887,797,769,387,061,012,572,295,956,749,732,714,655,582,
464,755,286,326,709,530,297,190,620,973,902,513,171,661,498,107,723,713,246,
717,301,371,596,835,736,162,788,311,750,302,752,235,853,351,990,327,363,325,
436,390,449,830,202,150,164,958,393,447,866,611,593,453,794,348,487,226,848,
726,443,201,382,225,206,055,675,493,061,911,373,768,200,926,336,819,745,209,
326,341,139,294,747,009,003,154,560,728,354,541,542,102,849,476,694,008,588,
918,927,155,784,164,330,382,475,593,654,451,192,723,030,580,666,748,215,346,
234,433,644,060,468,943,611,716,219,986,222,265,988,533,763,556,866,314,315,
074,879,066,337,877,419,099,156,365,581,331,898,226,300,923,278,059,970,263,
705,855,184,860,673,924,137,432,203,225,869,751,632,188,496,776,259,091,526,
565,536,504,437,465,632,969,311,338,733,252,214,787,441,410,582,294,751,538,
657,361,258,686,626,469,524,611,004,153,134,505,873,621,078,115,308,248,017,
673,790,933,294,091,445,775,052,403,303,257,950,174,502,201,317,934,568,523,
266,008,809,516,190,034,613,791,645,333,237,113,323,869,407,045,399,182,754,
643,227,757,068,647,643,600,298,947,472,673,105,892,776,783,905,130,731,136,
096,740,626,455,933,730,539,834,741,619,899,137,286,792,843,978,438,211,955,
514,825,152,735,814,233,648,737,606,369,876,592,404,984,819,177,996,472,972,
583,266,733,663,740,141,857,852,050,984,738,913,083,392,725,173,685,928,627,
401,919,146,042,746,181,380,086,144,526,454,317,456,925,112,072,788,752,909,
679,113,859,527,869,248,784,681,418,802,846,443,532,343,660,222,573,483,104,
831,325,309,930,596,299,278,662,770,150,296,814,580,366,113,694,332,902,038,
215,941,606,228,915,304,482,393,663,927,836,730,122,058,715,953,564,692,608,
913,049,699,910,656,642,699,244,371,141,036,942,186,301,066,415,482,090,459,
748,282,599,043,943,623,030,098,785,329,186,878,652,876,326,548,924,456,948,
022,141,666,166,029,703,119,817,382,492,955,882,870,741,832,006,232,063,770,
160,569,727,533,139,294,150,000,028,271,145,487,777,066,181,166,505,674,125,
740,857,084,204,935,012,268,185,222,598,305,029,544,567,374,062,458,430,917,
780,227,420,908,101,496,314,037,461,158,416,405,282,028,906,456,022,955,571,
436,490,640,462,191,518,853,835,706,273,351,469,985,975,393,730,578,434,466,
213,595,552,616,778,167,841,527,816,947,475,681,242,697,187,505,601,184,172,
855,708,644,980,012,766,621,652,367,845,175,763,321,195,436,551,522,868,587,
559,876,052,347,109,981,123,089,243,677,961,245,406,770,766,908,518,060,194,
339,374,998,300,073,171,118,970,985,174,352,358,289,016,688,104,921,823,153,
862,999,828,991,858,108,966,846,478,102,904,513,376,382,513,328,773,859,320,
992,547,688,092,919,187,809,123,045,713,610,183,342,680,264,835,914,941,958,
450,681,234,388,947,754,654,622,176,744,210,247,535,848,455,940,418,052,566,
011,187,200,044,333,608,156,070,669,683,974,207,432,959,263,478,674,114,256,
341,382,804,829,961,093,712,669,723,865,054,681,028,586,227,177,638,919,161,
791,493,834,126,344,966,736,061,655,317,787,335,817,506,998,851,687,649,609,
089,613,406,362,849,809,400,488,780,386,953,773,569,894,855,578,865,958,260,
833,901,397,141,336,920,490,116,326,717,797,034,632,329,380,854,970,978,165,
649,928,667,777,699,667,006,399,207,627,801,205,279,061,482,657,239,682,880,
437,420,041,265,379,856,564,261,438,962,682,735,478,683,225,592,168,970,096,
804,317,168,097,494,826,490,505,323,491,596,404,657,529,285,969,335,089,418,
454,750,305,923,252,842,963,823,520,641,689,463,491,600,901,119,077,424,795,
980,831,887,856,046,593,945,325,793,314,391,225,202,763,972,339,688,113,999,
537,465,953,042,969,296,971,983,922,073,265,271,885,362,494,668,608,744,383,
795,451,060,185,217,558,220,680,248,871,039,642,117,087,809,311,599,785,463,
220,103,646,712,591,998,849,907,391,259,470,381,070,242,165,115,794,710,154,
942,614,138,610,244,197,322,927,988,428,763,529,837,146,271,880,685,444,057,
001,680,218,115,050,653,720,553,313,755,637,192,131,103,961,256,824,515,278,
084,465,703,815,983,108,886,191,099,417,445,409,874,135,533,870,675,865,482,
621,619,723,693,935,515,373,234,999,667,779,843,144,023,118,750,602,718,528,
701,028,267,253,738,791,355,596,011,812,360,259,567,913,938,544,410,798,167,
842,818,643,548,972,667,403,511,983,693,888,985,871,742,709,397,348,237,988,
481,281,483,063,606,236,861,170,723,449,837,276,498,113,480,361,848,066,509,
012,355,475,206,152,566,479,064,666,606,879,512,096,791,923,301,041,576,693,
114,831,693,573,974,123,478,632,433,155,166,080,309,211,284,020,167,228,495,
459,326,848,400,624,120,439,069,275,814,450,157,344,301,891,396,047,456,850,
990,526,776,665,618,166,257,465,451,691,662,204,903,349,564,417,794,207,308,
902,076,670,313,627,759,008,141,135,407,361,628,621,267,458,681,488,338,907,
797,217,448,275,895,049,909,319,007,791,956,874,387,582,277,272,331,077,158,
947,573,475,095,621,748,733,148,776,504,777,489,496,839,770,576,604,750,619,
161,552,039,299,805,634,433,009,821,926,212,415,629,716,693,369,386,432,758,
444,918,344,748,154,553,936,051,545,216,387,591,831,443,826,817,457,652,914,
779,276,846,085,034,006,815,310,718,140,490,980,226,696,401,784,707,221,590,
578,241,560,332,580,979,571,358,299,635,896,193,423,011,619,683,967,809,427,
591,569,488,484,991,336,492,876,694,428,537,745,170,974,302,510,827,167,517,
290,657,039,319,918,788,858,529,382,178,840,606,915,412,842,347,574,297,365,
246,171,689,026,814,745,821,718,038,436,774,876,456,725,684,402,813,396,840,
243,387,636,627,093,889,792,378,836,775,752,717,257,769,789,436,665,739,553,
416,397,764,873,071,201,965,003,757,064,352,417,486,053,050,750,420,656,853,
996,318,853,172,064,315,074,699,073,810,450,104,474,859,672,398,650,127,233,
957,852,959,931,303,238,724,793,434,452,526,689,956,004,211,206,033,567,756,
488,372,452,061,552,154,572,107,784,350,826,849,430,448,119,121,225,704,557,
844,121,715,626,597,916,584,309,955,858,612,687,816,624,587,109,689,027,375,
155,731,932,509,842,752,377,348,194,696,166,422,293,256,090,177,215,926,596,
517,090,190,642,096,069,648,718,115,378,669,995,565,841,944,159,477,888,731,
191,396,256,396,371,302,771,559,558,709,794,858,731,867,058,289,003,615,694,
965,792,059,908,622,982,009,309,967,843,087,639,300,347,383,089,993,440,196,
133,015,208,346,936,708,661,773,997,937,086,634,095,394,976,881,984,671,583,
491,119,773,949,541,597,341,682,576,460,426,384,422,433,282,047,056,800,360,
915,163,588,135,938,879,732,157,492,636,529,639,643,206,406,934,541,347,071,
385,331,202,875,677,871,582,047,190,625,226,807,907,380,482,429,133,557,605,
376,847,927,493,900,048,644,694,670,987,332,791,576,381,755,379,653,831,774,
770,324,149,218,906,764,733,197,840,529,264,515,751,918,438,899,964,999,241,
701,268,166,235,052,435,282,482,857,274,331,191,604,057,230,048,404,772,868,
822,942,323,605,907,243,736,349,472,489,021,102,317,420,031,142,082,458,457,
865,231,887,758,236,214,359,306,284,787,353,420,719,840,490,806,403,060,196,
483,346,564,952,549,631,604,233,392,227,349,096,963,232,673,821,736,229,253,
544,999,718,348,324,834,290,108,625,916,086,670,692,603,846,281,160,937,142,
408,975,832,438,530,604,375,819,196,132,002,753,897,223,958,920,264,327,770,
763,250,241,460,701,069,532,770,448,237,347,248,338,527,725,119,509,885,974,
445,080,023,179,032,441,672,210,725,350,485,497,056,871,538,002,977,877,233,
449,470,237,000,226,941,612,564,230,335,334,612,338,854,433,980,816,926,613,
713,094,488,919,813,894,334,681,356,491,263,409,339,984,394,279,085,038,081,
935,491,920,587,979,909,052,986,399,996,595,259,376,076,648,457,340,061,820,
854,575,138,539,213,780,637,141,354,611,295,498,632,652,413,611,781,662,720,
870,086,430,227,754,803,319,313,649,275,362,654,437,728,218,648,043,086,733,
194,190,997,056,388,571,238,690,297,116,160,193,885,330,122,686,852,597,114,
772,480,355,878,402,060,104,928,828,951,147,352,841,491,423,426,433,151,622,
303,018,697,700,879,377,791,533,694,413,384,979,417,162,059,268,956,356,289,
980,367,725,455,730,470,708,193,980,377,645,465,073,140,087,806,244,286,150,
881,764,519,912,044,672,354,338,881,125,698,264,444,029,766,338,293,756,177,
096,637,811,256,708,353,255,360,400,447,989,544,799,033,317,595,737,505,818,
687,392,795,465,627,808,970,669,990,311,346,288,385,493,582,229,935,315,677,
857,408,732,816,166,792,090,576,541,520,768,303,180,296,018,410,880,445,002,
413,599,776,614,780,051,882,114,117,513,690,200,868,104,066,611,605,642,318,
822,309,166,221,005,649,979,761,178,050,303,047,850,669,290,726,732,724,587,
419,201,364,182,249,377,005,745,989,067,859,488,785,501,118,457,285,923,485,
788,829,386,495,502,253,958,900,550,278,420,998,713,825,233,888,988,058,771,
853,314,033,783,020,166,899,710,337,693,249,481,310,057,779,293,465,824,661,
942,796,872,365,129,576,902,914,445,469,517,217,731,008,228,700,787,811,979,
995,921,009,399,686,977,710,676,052,097,457,357,980,476,188,061,972,590,093,
877,233,869,891,268,708,378,481,804,893,491,891,828,258,672,179,236,501,150,
575,162,838,484,915,512,451,946,045,520,798,034,632,391,265,041,712,273,312,
931,874,706,378,112,007,817,972,199,850,502,493,233,781,333,646,039,618,006,
727,729,326,105,800,008,516,334,395,606,384,800,719,623,440,865,427,183,900,
259,881,601,322,663,415,226,068,705,590,676,626,431,082,237,448,405,558,904,
110,191,257,992,682,624,492,873,296,061,602,176,851,287,692,367,481,015,911,
812,884,490,983,213,112,958,653,165,667,277,845,579,048,377,170,681,568,283,
115,057,584,222,707,892,591,082,276,193,061,488,824,790,429,594,690,961,336,
994,429,177,698,710,023,284,730,835,764,431,430,149,618,114,706,800,934,190,
220,372,075,957,794,819,282,666,385,800,354,899,689,147,473,365,511,889,205,
585,853,634,564,242,938,745,615,702,436,821,485,071,627,108,616,050,728,881,
744,945,634,335,100,340,176,837,128,327,969,934,221,296,897,969,160,143,691,
862,423,761,965,155,915,178,307,450,894,794,961,129,017,314,145,577,221,378,
729,496,684,908,985,955,911,415,509,394,254,539,553,132,032,461,399,932,049,
859,915,550,246,939,302,846,860,936,196,727,125,297,397,670,335,691,285,335,
763,843,134,585,773,391,359,373,524,355,732,844,329,121,650,012,891,635,410,
154,512,429,736,060,913,951,187,085,356,375,062,520,405,838,247,801,613,355,
532,753,091,409,158,353,467,968,450,445,019,063,371,827,667,952,224,674,400,
905,309,657,818,816,338,777,396,473,264,827,013,520,056,820,595,531,705,711,
066,852,884,313,388,093,499,010,825,316,061,779,201,459,427,684,250,607,165,
952,906,864,194,899,610,707,439,015,714,257,993,335,318,663,566,031,320,725,
869,373,142,392,936,974,066,834,246,084,270,172,687,052,155,357,838,929,939,
230,840,973,231,078,790,337,080,943,608,072,079,753,383,722,540,667,296,715,
464,483,178,690,827,324,678,642,110,621,605,905,908,780,219,661,644,304,018,
620,695,508,294,960,956,626,685,785,677,131,098,023,461,309,779,407,718,148,
358,944,125,918,465,755,102,388,828,230,191,098,726,485,703,165,289,446,207,
570,912,922,239,182,758,747,263,654,524,778,445,775,996,234,567,341,538,656,
189,907,735,583,275,630,956,718,799,466,493,974,211,439,585,187,356,447,722,
002,882,259,315,207,935,278,366,174,433,880,173,509,843,582,755,906,013,843,
470,114,962,273,163,956,592,092,964,114,671,790,655,347,620,505,941,737,485,
375,352,264,742,224,415,505,615,316,621,626,780,374,517,079,150,461,440,077,
810,521,743,118,431,611,599,644,571,468,622,300,016,630,589,804,734,800,425,
675,372,656,512,305,807,978,294,796,456,063,574,794,335,253,216,778,223,955,
515,268,048,744,743,450,846,779,759,805,329,878,100,770,988,920,437,651,329,
397,156,951,921,628,966,091,332,959,842,951,977,677,317,647,977,313,485,871,
047,467,183,016,609,740,527,109,044,260,478,302,713,647,034,893,466,647,631,
269,191,490,687,023,268,935,080,015,137,477,567,757,218,002,353,077,091,025,
109,916,653,511,687,526,658,028,404,113,155,477,152,929,808,277,452,061,407,
799,373,646,991,028,281,217,326,009,011,317,054,791,601,873,147,649,997,529,
129,528,758,274,252,889,485,351,824,303,360,073,976,478,837,211,192,892,992,
229,358,228,844,587,120,067,179,964,010,375,231,928,176,591,809,616,412,422,
422,281,246,040,748,856,048,466,775,161,554,242,131,867,638,459,123,720,904,
979,446,421,121,113,207,834,216,854,724,570,026,967,832,605,621,625,381,996,
166,742,565,659,837,011,014,483,309,210,404,499,476,371,227,886,143,403,115,
135,630,879,836,172,697,064,719,852,079,650,588,246,954,200,413,019,889,335,
500,181,645,139,514,878,377,487,298,545,889,373,511,313,099,951,430,310,328,
135,626,490,676,118,207,938,061,805,423,572,160,093,379,931,276,651,339,498,
573,573,898,004,868,122,308,001,227,402,245,948,714,606,035,779,656,158,678,
601,890,439,920,587,304,700,204,544,346,379,576,147,527,400,060,042,871,862,
764,936,743,775,045,567,064,014,326,890,324,603,367,437,465,945,376,199,789,
601,839,295,453,598,713,961,938,959,760,769,058,877,628,578,460,204,669,258,
199,770,215,252,843,154,552,074,757,257,271,604,960,586,515,036,601,944,872,
944,304,801,704,709,959,751,901,930,995,811,097,521,011,823,204,971,783,256,
509,008,442,407,372,676,766,370,115,784,686,974,579,398,360,533,554,976,111,
682,273,377,947,608,796,920,168,678,004,550,970,191,666,526,161,081,894,447,
094,539,620,208,044,964,848,871,636,023,982,785,839,420,564,997,342,001,535,
038,157,639,444,177,981,797,578,426,825,849,308,306,536,949,480,697,520,349,
077,352,127,768,326,694,859,676,127,847,209,757,142,012,108,073,959,035,162,
355,501,555,320,555,970,951,907,714,147,176,059,338,287,726,888,064,217,622,
627,336,400,377,187,173,100,613,235,754,627,253,388,038,170,324,007,254,569,
909,661,096,267,709,589,389,839,743,946,299,782,293,572,198,547,690,333,046,
946,861,674,921,803,579,634,367,783,516,694,528,353,805,297,575,003,752,895,
581,852,032,793,813,701,352,434,994,060,263,584,087,332,045,781,072,664,962,
936,614,100,716,149,286,560,174,080,800,183,007,373,147,139,080,705,542,565,
805,634,219,211,152,994,685,682,896,339,247,232,306,201,168,230,273,893,746,
836,066,678,626,743,160,710,685,827,760,817,968,359,979,513,519,590,409,004,
263,915,865,356,888,815,169,671,290,198,118,539,272,970,156,980,544,282,019,
744,455,302,680,840,034,507,775,874,325,365,791,703,489,606,580,597,406,221,
591,667,808,719,961,351,023,219,576,726,532,660,624,592,162,244,599,259,965,
490,357,649,316,900,791,636,101,984,547,476,613,161,372,348,245,393,608,754,
960,547,823,242,473,438,324,372,400,112,041,065,971,391,676,937,857,023,582,
362,049,919,078,827,885,079,227,295,123,136,867,229,526,234,687,985,728,021,
897,111,605,399,992,433,698,839,028,268,215,547,501,223,719,036,060,786,363,
960,503,900,100,128,423,084,418,643,253,509,717,421,399,787,300,177,140,889,
170,411,797,468,551,994,763,124,696,286,627,680,655,617,051,085,403,899,424,
965,576,340,808,646,062,733,701,242,822,106,479,978,847,248,314,489,102,009,
944,481,767,487,646,298,385,837,889,777,347,426,219,939,244,778,336,326,305,
173,476,291,074,724,529,215,949,533,511,230,641,125,427,825,416,993,549,202,
547,667,169,682,446,615,869,602,194,674,438,154,836,167,028,511,137,043,389,
048,768,906,848,286,141,420,799,047,940,746,487,878,612,802,957,260,892,232,
655,332,245,577,038,634,269,234,971,823,675,143,975,850,990,001,699,693,888,
481,442,777,759,754,703,349,139,273,468,237,785,726,792,513,164,864,197,932,
018,524,612,695,706,739,074,687,073,703,102,524,284,654,225,450,506,620,166,
956,050,682,441,240,467,584,688,172,172,793,277,060,680,801,381,945,963,092,
388,035,587,601,459,617,629,742,333,750,014,522,750,820,601,764,660,342,669,
587,939,961,666,748,487,882,798,029,902,787,890,025,210,087,649,998,493,574,
367,451,751,837,564,513,582,880,088,383,599,903,711,439,008,610,228,967,144,
669,696,959,164,797,035,039,241,228,373,235,727,053,937,039,781,946,805,104,
591,954,027,647,461,075,815,727,712,701,248,081,711,936,550,500,438,502,418,
732,512,778,638,017,977,497,096,478,675,632,963,111,253,282,670,034,469,421,
975,652,225,721,549,771,113,648,811,390,111,408,986,677,717,029,551,955,592,
989,501,193,103,395,432,027,539,288,016,442,392,246,569,392,405,257,023,233,
297,033,544,126,923,897,104,600,884,726,411,203,643,909,841,613,154,450,276,
006,228,705,198,661,767,885,442,630,909,172,210,293,759,821,575,248,101,057,
287,488,821,021,887,577,090,430,718,673,537,212,524,605,086,232,835,570,899,
499,466,698,158,766,645,369,762,164,926,395,785,826,755,484,492,908,448,953,
527,425,896,366,399,712,047,027,809,071,355,495,769,819,194,857,106,084,884,
132,787,048,943,431,565,605,963,167,325,931,052,832,633,066,693,805,101,886,
507,411,796,444,919,445,848,455,087,479,911,877,655,553,365,392,170,419,327,
510,726,524,722,699,001,699,482,796,260,913,915,763,139,312,457,922,581,988,
634,196,217,198,007,575,255,416,474,577,008,693,656,550,230,191,910,969,982,
219,123,113,904,066,593,498,479,509,526,814,684,784,058,084,072,697,093,480,
742,500,733,955,037,696,067,617,794,860,745,232,819,355,346,476,043,378,762,
555,632,379,493,351,474,547,506,359,686,326,930,436,765,050,513,842,246,442,
587,385,510,148,566,054,780,788,931,206,984,879,812,085,514,723,633,740,519,
762,585,909,021,317,616,642,679,199,022,038,577,019,530,110,952,434,385,591,
101,806,878,148,407,463,626,831,398,631,198,359,669,296,343,872,950,952,681,
995,252,310,109,232,302,523,360,433,662,031,384,906,119,302,320,630,100,207,
298,652,642,059,450,978,934,489,800,563,533,545,101,674,811,981,764,849,886,
080,166,013,646,465,113,656,066,344,598,193,406,121,000,246,424,995,644,546,
921,475,671,158,404,234,256,416,034,936,823,636,074,233,528,740,762,125,607,
414,105,131,688,884,785,461,839,612,558,556,396,480,155,182,665,835,673,865,
329,820,794,114,814,753,953,510,153,837,810,027,753,096,669,748,092,393,605,
856,498,128,476,677,070,273,062,401,435,211,034,290,842,128,096,567,537,783,
984,680,305,952,313,787,824,324,476,362,835,523,548,300,328,034,462,356,345,
865,489,238,195,390,027,721,596,344,710,247,409,838,433,091,032,634,214,881,
490,370,849,688,429,368,655,170,153,985,050,046,373,628,578,843,880,937,434,
163,827,611,485,769,815,234,270,063,790,662,031,164,075,347,237,221,043,667,
450,216,001,812,259,600,181,029,247,663,241,694,855,159,640,747,738,530,512,
190,163,588,588,272,290,802,868,838,446,434,134,299,677,552,764,380,980,478,
874,152,098,979,665,830,510,823,707,076,407,725,570,974,835,993,473,342,222,
059,220,842,597,019,420,081,282,355,846,646,386,536,822,484,342,713,778,040,
602,450,623,013,884,520,270,276,548,096,720,322,463,258,850,828,097,580,311,
374,793,073,511,552,602,680,393,434,078,070,468,976,599,615,525,880,366,016,
315,867,652,510,909,407,988,429,878,881,889,497,923,977,909,307,233,594,721,
361,023,864,468,881,781,682,154,619,039,340,046,660,545,897,669,796,652,849,
951,487,975,846,177,495,343,804,645,707,365,008,045,553,900,386,970,101,816,
289,352,565,374,071,919,415,117,844,548,311,250,024,922,561,273,212,254,496,
636,191,869,786,939,356,148,699,527,199,704,256,757,996,194,794,621,848,389,
301,989,807,642,160,227,474,366,309,942,139,926,500,199,591,322,701,576,874,
115,110,111,305,251,773,508,892,133,872,178,094,046,424,092,165,656,632,326,
629,989,056,369,106,292,090,801,898,728,862,272,558,312,849,599,848,317,429,
226,914,984,744,484,017,289,451,984,882,377,988,756,306,925,540,316,110,089,
891,574,274,673,774,584,858,141,466,959,458,642,121,932,087,802,121,723,715,
751,043,045,799,630,394,743,996,480,018,155,577,608,036,799,246,180,075,646,
282,377,112,195,271,976,363,603,198,154,035,807,706,245,838,477,626,431,768,
277,453,637,179,764,461,836,386,615,240,268,615,994,728,315,111,384,360,571,
829,837,905,922,441,135,358,066,461,279,837,054,462,760,937,668,865,525,246,
714,570,037,485,292,280,079,203,793,086,137,482,970,801,179,143,127,655,469,
210,478,905,033,149,775,681,123,978,638,697,027,193,802,644,999,982,252,690,
762,920,294,745,392,098,285,754,200,869,033,674,079,792,371,808,822,050,251,
618,130,025,292,799,595,807,773,312,886,904,851,730,943,908,515,237,016,792,
523,053,870,061,868,222,311,687,398,919,771,886,105,611,647,379,267,801,879,
295,577,650,526,130,041,843,280,070,919,711,942,700,666,637,452,522,332,025,
779,850,496,115,503,127,896,900,124,097,713,943,958,396,306,361,871,762,332,
616,066,176,734,687,080,730,175,339,529,475,006,950,660,061,784,408,335,746,
061,950,328,464,213,863,200,337,208,740,737,959,674,094,847,081,273,313,643,
957,023,796,933,415,521,622,054,053,208,020,004,972,869,508,413,386,324,468,
177,108,141,907,031,958,340,536,620,295,822,946,197,593,654,315,425,050,126,
381,406,623,753,459,510,856,751,350,229,514,857,991,666,181,777,301,945,425,
053,141,601,119,474,014,366,613,810,328,126,394,056,290,298,061,367,910,586,
314,790,572,307,425,618,894,671,978,101,104,087,799,681,124,985,708,266,028,
542,922,455,995,596,263,307,951,867,325,155,881,665,666,450,515,081,968,872,
195,180,799,761,611,725,784,390,407,474,963,083,969,102,886,879,649,100,438,
601,354,530,535,454,358,963,818,579,901,368,591,430,557,434,776,273,089,051,
838,788,104,117,058,511,651,151,266,136,048,891,726,081,330,686,268,913,157,
534,845,473,299,306,989,280,076,069,031,227,499,529,703,044,731,719,948,223,
305,048,100,558,857,487,094,838,820,388,407,937,183,039,820,805,619,669,863,
560,361,363,764,981,397,826,247,363,698,541,973,913,331,059,562,572,961,521,
867,252,270,696,883,759,055,186,263,046,259,353,724,004,535,211,544,156,819,
115,713,919,654,074,543,579,544,852,792,206,090,039,888,983,985,048,760,914,
152,327,277,455,748,669,058,718,335,915,631,520,272,573,114,849,884,745,258,
685,656,170,348,633,667,603,011,870,937,668,499,578,918,292,460,965,440,643,
405,102,240,802,248,306,058,207,238,313,223,194,493,547,558,642,709,929,148,
081,761,688,480,632,073,612,989,699,886,644,608,995,482,201,090,634,482,408,
460,472,374,797,210,713,378,123,738,814,411,688,407,648,212,463,727,704,211,
199,541,249,566,325,199,363,248,992,392,781,260,187,764,600,968,736,159,743,
002,603,201,303,739,793,397,999,797,635,334,684,483,727,244,266,179,773,773,
034,087,791,875,307,401,737,980,890,661,196,711,483,263,070,461,414,085,605,
314,536,050,151,541,261,802,405,892,935,112,195,099,818,924,897,098,357,458,
891,525,273,521,503,595,701,908,731,873,776,857,365,382,210,624,300,335,941,
860,393,559,590,095,716,341,525,726,086,803,258,248,947,688,524,706,373,404,
110,887,892,964,051,234,664,036,057,704,738,102,452,086,706,401,907,930,834,
113,175,605,944,389,915,589,172,833,512,770,060,651,907,392,264,661,596,276,
416,468,273,030,769,559,701,635,067,348,993,314,498,145,436,249,117,553,358,
518,595,838,399,813,638,690,766,931,956,758,725,741,289,155,482,319,253,025,
037,247,075,142,075,092,347,485,993,557,252,147,695,621,965,766,286,408,376,
917,123,112,728,095,705,960,292,787,008,789,010,539,278,822,645,477,753,052,
119,602,404,783,434,164,809,895,932,591,152,218,273,200,942,420,317,764,851,
060,950,114,648,447,294,213,891,027,705,810,041,156,085,238,061,255,801,475,
541,287,143,979,755,902,542,172,540,852,975,491,524,654,778,703,434,960,487,
158,861,981,794,555,939,746,451,811,133,237,844,157,647,994,137,252,155,624,
880,529,451,090,845,771,634,378,470,886,707,226,506,058,341,224,930,986,282,
860,835,602,925,011,049,816,056,238,646,951,730,201,218,800,972,793,439,708,
271,467,341,450,767,710,504,395,060,269,311,933,946,170,820,488,266,850,276,
390,253,783,824,051,182,239,053,304,688,967,665,642,301,844,273,144,179,160,
134,648,434,439,969,584,659,650,891,946,531,453,342,635,114,616,416,054,547,
947,272,156,387,185,099,302,810,232,231,903,287,941,452,241,622,159,778,280,
563,578,779,828,731,345,392,368,993,762,631,557,388,406,272,373,072,786,168,
699,179,549,320,045,307,182,968,045,540,415,761,965,885,736,071,820,748,246,
723,881,417,800,170,704,504,671,816,156,794,484,355,549,260,971,489,260,944,
979,680,247,307,825,656,333,713,809,398,584,704,491,758,584,342,302,108,363,
317,868,375,517,818,946,135,323,010,146,675,904,902,800,729,384,317,077,651,
999,563,643,845,744,058,322,598,500,003,462,431,352,859,581,402,912,830,413,
930,655,932,708,086,638,782,988,038,537,909,883,742,825,086,787,905,560,031,
383,200,943,125,445,512,463,304,026,758,414,041,664,085,148,305,774,896,180,
687,275,221,314,416,119,133,410,277,252,794,686,520,639,062,408,517,359,379,
024,343,275,349,315,485,558,195,501,392,004,066,041,355,019,665,277,071,324,
444,867,964,578,912,292,455,917,470,094,356,902,986,738,203,255,199,574,684,
563,994,911,011,491,522,870,740,263,935,222,244,142,230,239,292,989,936,643,
848,081,002,957,962,139,300,034,089,826,461,019,603,114,723,453,413,093,622,
457,591,290,252,419,437,797,325,992,958,796,340,585,682,587,579,321,880,321,
371,982,442,564,035,581,920,164,185,760,045,928,049,263,571,197,682,744,523,
736,289,459,939,964,299,073,506,058,664,512,340,995,447,168,112,345,327,014,
344,037,042,725,235,002,610,128,026,680,577,744,194,053,636,577,131,813,786,
966,816,924,406,416,010,747,023,602,440,580,973,840,929,156,650,406,573,484,
251,930,895,966,301,119,948,345,681,512,459,923,297,232,024,425,424,207,826,
233,029,054,834,682,655,027,795,060,288,686,663,602,673,332,002,340,527,153,
141,128,133,422,944,350,853,406,438,491,740,992,957,693,947,482,153,792,933,
634,480,595,102,027,804,597,301,456,586,605,708,519,129,693,817,001,649,827,
704,183,906,775,554,627,992,370,646,768,956,489,888,038,952,192,170,017,572,
858,930,910,301,721,383,523,927,803,302,463,122,705,282,745,412,721,334,102,
966,751,876,238,554,381,950,804,309,199,194,848,877,666,935,096,709,232,254,
258,673,454,734,813,941,857,465,509,318,880,627,515,802,803,351,302,384,166,
402,079,361,431,118,880,490,582,836,148,817,784,569,279,979,556,821,662,094,
853,956,650,887,468,809,727,092,622,107,678,156,564,151,426,248,268,218,584,
472,860,837,916,628,689,006,869,864,398,951,978,993,022,510,556,632,147,737,
203,707,242,785,001,979,737,876,904,421,273,856,649,760,820,177,628,666,415,
687,792,353,917,374,185,144,862,923,312,447,478,011,720,712,870,834,754,683,
479,931,564,274,501,860,921,785,872,170,403,988,219,237,312,627,807,813,239,
319,320,866,765,148,020,526,929,817,171,103,039,076,849,712,409,019,490,600,
509,209,157,608,178,480,147,916,478,655,895,701,352,447,584,564,100,860,202,
923,534,324,556,367,730,245,250,699,138,053,916,338,218,052,367,614,158,559,
786,960,261,358,777,629,823,148,168,313,429,989,890,677,800,517,476,841,927,
587,635,263,356,627,921,425,108,180,467,379,976,324,127,641,864,523,426,065,
419,994,113,286,065,294,806,500,687,742,808,435,009,863,063,331,165,666,773,
513,362,992,241,920,852,433,295,723,838,745,681,190,245,499,251,541,484,817,
067,062,033,462,527,736,864,591,503,153,862,875,049,922,905,632,978,412,621,
651,151,725,561,924,381,866,493,284,397,720,025,001,397,641,494,683,017,736,
272,969,114,980,255,603,043,094,033,157,821,430,340,252,977,983,759,478,052,
956,716,405,878,034,972,137,313,904,688,216,213,495,980,278,697,514,314,598,
800,126,289,363,051,984,701,173,871,924,066,717,722,376,204,748,500,759,336,
773,649,546,935,862,593,746,862,758,936,399,698,087,649,620,447,312,136,526,
138,117,200,698,941,835,984,903,173,267,048,538,284,720,545,933,033,252,098,
923,932,913,104,419,409,683,336,830,929,467,661,822,799,912,456,264,674,026,
505,133,632,702,436,269,449,950,770,193,814,412,550,634,540,338,672,547,164,
248,275,496,917,116,452,702,029,770,468,375,801,425,765,884,314,493,317,711,
388,918,007,291,326,784,046,752,372,666,506,041,078,614,987,944,214,541,757,
795,394,207,061,721,036,340,885,206,596,886,559,370,597,735,169,740,727,866,
671,094,878,444,407,364,125,933,978,781,610,399,522,478,099,954,748,792,503,
463,984,347,390,381,009,877,001,376,626,740,268,494,727,575,451,225,135,703,
125,200,859,597,409,033,662,664,815,594,775,085,500,266,077,334,259,961,129,
600,454,683,965,645,398,857,531,093,600,930,586,369,080,766,278,126,328,571,
184,311,581,998,975,808,341,967,157,793,081,520,893,906,845,491,312,435,280,
288,251,320,677,809,122,483,244,585,295,556,019,403,961,589,024,808,548,531,
731,585,108,760,135,802,751,687,837,465,414,209,124,165,025,636,767,960,155,
908,237,836,306,965,905,670,190,641,919,671,247,215,172,190,221,381,119,023,
351,620,675,344,632,503,816,080,510,836,053,602,429,535,057,426,286,963,834,
933,973,828,672,503,188,941,481,891,183,300,678,682,971,321,942,928,347,672,
439,623,323,411,539,461,561,763,254,450,804,504,450,364,141,830,140,928,788,
715,328,621,641,116,346,859,546,532,477,234,426,304,933,180,285,996,080,210,
047,620,746,697,143,813,266,303,982,647,689,069,346,705,202,918,175,631,256,
949,938,233,663,072,660,187,074,028,820,739,186,276,595,597,129,552,748,913,
844,524,051,724,145,825,580,331,909,767,642,661,729,472,025,158,000,886,151,
902,183,988,961,674,218,686,518,487,336,862,992,973,737,028,450,869,176,321,
741,202,481,638,191,751,093,782,142,733,280,166,576,130,315,207,542,748,148,
514,868,236,671,861,476,039,578,741,129,964,986,129,423,270,065,452,207,307,
040,685,830,192,582,750,377,554,641,377,343,821,298,167,026,986,669,580,882,
195,463,694,322,448,505,865,345,037,240,966,443,098,443,704,163,318,375,102,
513,491,463,350,219,345,928,217,083,345,099,726,173,700,603,061,068,342,379,
704,032,554,009,869,257,797,426,617,086,649,277,658,102,462,702,231,136,963,
349,372,095,840,710,448,152,017,711,158,085,224,676,658,300,564,491,736,777,
542,734,121,138,496,327,438,425,257,968,855,348,105,143,774,165,829,504,916,
511,730,455,555,281,402,554,287,024,933,999,969,921,645,579,297,403,326,753,
103,162,245,444,920,074,737,980,060,601,702,269,280,449,290,645,603,310,996,
333,823,104,642,640,228,123,462,811,281,996,149,508,206,818,567,062,001,357,
685,071,288,535,653,957,431,077,612,996,601,818,858,315,828,411,611,394,050,
884,038,944,781,384,058,556,965,220,938,321,330,910,325,430,666,410,190,927,
950,672,909,578,637,646,710,651,614,042,327,417,357,536,451,000,849,376,458,
883,661,375,373,923,985,577,913,328,576,790,798,732,968,987,113,654,385,206,
009,035,223,943,761,147,772,541,754,633,098,825,943,847,721,790,313,991,746,
236,213,237,292,019,905,668,366,890,650,428,923,969,737,518,410,662,429,943,
750,772,106,058,238,954,914,224,368,303,409,782,956,670,855,487,657,048,865,
952,001,597,514,542,467,783,484,580,208,096,713,041,125,656,450,079,051,101,
700,780,239,039,440,709,227,163,333,089,223,609,059,022,168,893,655,767,637,
747,223,939,978,131,126,299,870,440,748,564,841,814,949,396,175,136,992,319,
413,394,360,251,975,295,116,056,016,030,788,227,609,610,251,178,681,842,168,
363,175,415,838,042,134,997,975,631,954,303,015,162,653,448,730,856,064,282,
482,836,421,265,481,681,395,572,482,215,040,613,043,293,580,953,451,075,552,
285,930,005,696,854,656,396,077,235,560,943,123,873,236,036,011,440,147,189,
518,156,208,033,955,400,477,608,066,036,776,696,776,427,999,687,350,853,672,
485,055,072,422,315,878,917,637,165,502,524,219,899,182,834,405,264,968,297,
083,017,236,795,930,620,249,583,070,708,910,740,576,707,959,234,192,119,425,
902,422,572,008,195,485,555,936,685,075,740,577,528,184,635,040,657,056,489,
771,447,084,499,679,149,941,811,880,278,623,212,891,900,414,544,541,358,398,
689,817,532,785,669,211,752,449,195,687,432,129,737,020,075,230,546,297,106,
213,120,471,388,265,597,292,872,308,324,450,568,343,757,828,659,103,119,641,
305,291,280,536,681,306,681,397,918,922,461,844,139,126,444,978,003,760,973,
138,258,476,669,811,162,220,522,372,295,327,204,339,458,086,466,389,421,589,
166,825,085,880,425,198,160,924,117,371,920,979,358,606,034,830,300,874,339,
473,036,899,542,161,719,091,485,842,777,388,687,054,183,563,276,263,901,353,
584,850,450,469,084,267,468,540,478,325,615,778,893,546,318,832,630,155,165,
741,820,243,802,380,198,377,721,832,457,186,507,435,690,242,088,835,216,783,
763,761,101,121,690,042,394,690,036,435,819,507,432,083,061,938,556,757,206,
293,851,286,748,738,874,982,676,257,061,285,486,267,437,650,522,013,406,141,
681,447,924,551,244,194,122,017,035,085,800,752,531,554,057,988,656,176,441,
440,361,154,814,138,266,851,280,958,924,253,254,633,314,605,859,821,366,824,
573,345,408,782,303,554,998,132,546,702,249,886,350,790,511,904,553,479,917,
168,679,744,329,632,224,140,376,453,875,389,799,013,283,898,810,841,341,150,
133,056,335,260,769,228,822,990,900,519,598,005,719,930,479,318,514,494,172,
528,577,300,121,682,540,755,595,685,694,354,255,357,893,926,753,263,615,795,
677,593,076,962,938,749,762,004,502,599,568,409,030,541,523,137,094,957,631,
074,922,551,448,224,190,201,883,312,548,306,069,815,777,820,066,362,002,565,
555,287,460,151,728,785,196,841,729,748,509,055,594,137,883,996,224,809,116,
377,132,456,379,203,908,151,589,391,203,954,180,672,546,834,233,892,784,328,
576,305,627,361,930,968,394,974,087,466,665,540,078,412,721,100,465,308,264,
877,289,241,434,264,582,301,452,346,843,635,644,224,525,178,574,375,620,016,
396,989,466,555,762,171,519,210,121,829,443,783,454,624,245,824,311,583,957,
647,661,901,823,637,317,608,643,011,078,844,504,692,836,524,735,321,309,874,
287,258,675,204,014,010,807,701,842,251,967,508,306,417,066,965,605,992,977,
720,834,226,897,052,614,205,528,240,403,502,878,839,788,607,685,347,769,663,
378,458,437,449,874,864,126,379,614,537,954,058,533,584,904,888,319,762,293,
292,205,802,982,071,621,725,636,753,779,864,240,567,413,707,533,112,208,687,
922,167,340,887,715,125,090,091,013,736,753,897,213,793,268,002,459,397,386,
021,170,577,707,558,383,935,439,024,227,381,105,622,156,581,812,744,654,383,
812,749,219,298,336,614,444,645,977,769,235,931,084,540,988,639,297,953,727,
434,414,294,284,392,664,985,407,752,455,690,909,361,484,218,864,205,280,403,
258,771,978,197,789,057,937,293,923,604,663,771,237,695,306,274,271,541,286,
105,248,740,121,077,524,081,117,720,034,882,039,250,022,561,937,346,523,906,
426,742,411,397,221,573,863,522,085,274,588,624,760,597,346,481,153,024,309,
752,449,227,069,886,190,822,581,975,486,621,487,884,281,030,830,488,695,576,
395,955,290,959,910,492,563,128,469,369,965,343,101,493,182,128,384,444,618,
837,554,397,175,614,634,860,614,336,441,458,326,971,316,328,721,078,688,736,
300,966,300,360,309,331,371,738,167,593,919,334,591,581,342,224,737,257,614,
260,949,166,888,161,662,278,434,369,880,495,596,806,241,727,676,202,561,599,
657,305,173,431,105,629,591,992,436,479,783,230,486,536,936,892,152,796,569,
644,371,242,042,526,585,128,250,031,539,953,874,808,050,438,013,482,718,234,
123,743,644,126,548,521,912,959,574,985,302,699,230,956,310,648,108,946,578,
907,192,121,002,823,836,664,323,097,158,825,578,135,464,041,025,149,132,023,
562,548,550,221,356,730,107,497,423,583,743,850,181,283,932,425,407,889,799,
573,078,670,742,520,704,988,701,243,802,433,012,686,744,071,391,065,630,738,
866,244,739,106,206,349,783,706,804,105,203,718,574,102,756,801,400,783,849,
254,661,830,331,672,910,490,815,976,079,458,569,245,383,148,036,612,994,038,
197,330,001,288,593,080,966,966,411,261,782,011,285,443,884,092,349,224,831,
567,755,301,750,214,519,890,932,461,908,589,900,145,234,298,380,996,014,157,
277,681,885,493,795,149,216,220,472,322,375,175,240,809,818,509,397,900,637,
352,816,433,764,495,270,748,302,231,364,205,776,774,813,972,913,467,179,950,
512,430,935,563,140,668,652,541,899,098,692,092,289,504,577,083,956,350,780,
878,998,468,751,742,492,027,310,958,040,730,139,133,552,876,096,700,414,590,
893,171,979,069,910,634,155,365,261,520,941,490,115,869,754,228,910,369,450,
021,143,392,623,678,285,892,218,146,280,876,342,298,138,904,050,237,638,158,
340,507,934,389,730,134,193,477,970,846,362,521,800,960,098,149,971,419,005,
007,387,432,694,165,866,227,846,913,996,373,217,576,055,854,933,911,618,035,
976,318,818,669,889,507,903,593,626,997,841,116,666,875,312,921,655,597,249,
164,371,365,888,192,822,897,483,614,792,416,436,047,651,567,400,392,643,039,
831,732,153,798,767,409,920,305,697,023,037,046,178,049,589,747,374,008,803,
299,388,342,595,925,637,668,765,806,484,477,258,519,819,696,544,381,364,143,
712,640,484,358,041,082,532,492,855,299,630,415,353,272,295,005,181,790,816,
454,624,986,711,027,618,700,468,344,016,636,873,931,417,449,869,605,588,131,
503,740,351,361,325,961,655,631,371,883,825,181,199,975,532,833,677,612,550,
340,238,282,425,801,331,494,003,122,017,337,460,438,191,192,725,434,467,982,
061,954,993,468,482,492,378,267,635,596,797,421,845,059,512,315,489,161,398,
127,749,090,166,114,010,377,110,819,314,231,636,502,189,904,204,461,989,202,
002,643,543,411,366,354,947,239,281,865,411,411,352,531,729,333,178,435,516,
094,032,031,928,987,758,546,124,721,518,067,665,158,312,366,491,082,410,013,
056,256,740,366,562,323,312,746,160,840,795,073,147,134,166,989,488,270,025,
409,557,881,302,360,288,603,212,310,632,228,806,003,646,153,519,203,025,788,
082,150,790,701,554,445,731,640,869,147,207,986,427,581,592,670,479,189,213,
280,970,463,917,842,197,479,848,662,775,652,807,293,328,258,682,272,149,584,
389,496,482,162,481,477,642,194,806,666,841,792,474,874,756,125,960,931,069,
717,185,761,046,045,982,660,652,753,150,449,273,888,666,004,861,556,326,371,
064,551,720,625,066,348,495,190,723,041,841,859,902,649,295,600,677,421,406,
264,159,419,086,826,509,700,669,518,198,969,441,976,966,123,668,126,931,407,
518,789,823,129,147,804,986,036,663,711,324,513,369,144,368,828,088,142,944,
235,235,000,437,536,756,363,732,361,287,246,764,883,736,546,487,350,497,992,
638,567,288,955,562,839,795,205,021,266,894,202,852,374,122,135,386,564,643,
634,442,872,461,594,709,005,458,711,518,234,383,342,418,909,465,239,626,629,
143,303,059,187,194,674,614,293,616,088,804,802,640,145,586,995,483,027,931,
257,638,553,469,563,932,602,826,726,192,981,408,930,956,972,337,836,492,151,
855,158,299,169,210,717,186,493,365,270,999,953,123,383,728,402,459,049,757,
210,276,138,471,975,475,986,501,864,217,680,609,838,131,562,704,398,826,600,
441,310,708,701,288,832,462,211,321,348,694,678,324,871,111,443,761,715,723,
324,384,242,099,215,460,302,910,488,527,736,951,668,190,827,220,991,675,110,
489,413,183,130,807,950,153,378,342,284,934,430,569,595,267,132,576,607,096,
140,718,040,403,777,004,771,143,649,874,308,491,361,518,064,682,821,627,189,
961,239,030,156,013,318,795,213,463,671,579,083,881,824,713,713,861,443,448,
358,393,185,049,442,382,911,078,560,699,606,487,154,496,239,852,012,970,740,
058,394,374,514,712,809,192,600,938,657,205,199,435,110,774,455,893,263,138,
778,332,656,713,692,530,894,773,677,595,106,357,342,358,786,317,756,960,045,
280,781,951,398,155,446,893,601,982,807,021,829,413,619,493,629,009,391,535,
566,054,712,914,939,411,666,709,419,912,387,510,082,567,902,582,951,269,463,
473,209,773,168,116,088,816,769,532,081,035,793,061,658,439,629,648,473,274,
606,512,526,436,232,170,300,347,107,886,098,828,952,116,194,501,043,465,582,
626,811,469,979,617,898,431,769,847,728,466,509,806,144,851,211,653,724,757,
302,302,989,165,981,116,105,136,023,292,278,885,372,582,231,277,899,154,994,
124,322,763,120,038,414,154,316,487,918,420,495,166,198,543,336,864,264,230,
761,758,235,494,625,325,926,049,397,790,179,151,778,403,553,398,254,704,561,
263,611,057,376,280,196,555,061,961,970,169,913,736,337,892,592,417,273,048,
301,068,631,896,389,166,731,748,423,064,574,170,601,728,584,212,629,270,646,
256,285,671,780,933,998,804,611,516,874,724,003,643,890,664,739,847,289,601,
452,589,306,151,842,750,819,520,939,700,160,271,428,853,921,388,534,168,734,
316,532,367,574,469,500,217,892,562,806,274,967,329,909,750,411,004,152,685,
258,348,909,272,624,257,166,458,792,421,340,663,726,052,053,869,856,013,331,
668,480,014,268,789,387,486,501,289,262,813,175,543,523,359,092,105,036,898,
475,858,473,116,596,937,451,888,608,347,935,513,694,349,765,777,983,763,771,
754,808,040,650,834,333,522,764,207,570,814,687,736,393,858,548,949,006,058,
319,343,510,934,070,528,024,748,546,321,592,840,431,051,098,310,297,041,040,
762,613,617,771,184,813,627,718,475,508,623,682,380,047,560,088,961,355,221,
379,025,011,890,509,301,077,190,233,644,833,341,693,059,092,383,909,903,779,
225,301,987,963,504,508,051,863,306,106,637,021,310,023,070,714,654,083,313,
977,709,373,757,587,164,411,719,821,482,558,805,323,611,461,219,059,978,647,
713,384,220,978,591,167,836,809,823,654,811,814,991,188,006,781,026,615,463,
198,269,334,776,256,402,840,960,270,645,251,637,387,123,223,663,923,479,844,
065,643,588,091,771,617,772,886,947,134,731,972,982,659,990,276,363,819,946,
632,740,915,223,269,893,179,655,728,384,084,946,454,018,286,742,760,079,486,
205,630,122,027,002,831,147,878,588,895,823,382,521,447,028,331,026,057,299,
224,703,567,583,207,686,552,478,365,989,606,428,864,424,696,174,509,145,378,
093,070,082,335,206,995,348,838,360,231,432,156,928,902,459,907,420,043,898,
697,217,159,329,383,137,918,778,536,264,548,193,853,705,418,609,389,681,671,
860,830,182,908,819,103,636,577,756,811,202,996,508,024,281,153,595,351,412,
109,402,843,226,886,907,669,923,362,520,554,132,792,571,015,726,224,729,909,
970,601,124,907,503,677,867,431,815,313,330,759,527,732,342,358,554,582,123,
223,430,217,467,556,806,158,319,376,462,861,855,262,779,356,080,970,986,284,
249,240,122,592,785,509,903,944,941,325,883,841,603,006,283,201,847,099,833,
116,120,996,595,919,719,101,525,743,508,441,477,694,312,391,070,419,577,095,
789,219,475,319,215,882,810,074,759,575,209,498,315,822,561,356,223,102,679,
875,016,745,337,095,766,107,109,404,023,687,207,324,565,833,079,307,295,785,
071,546,747,082,163,221,095,830,534,473,594,237,146,752,410,419,042,027,826,
814,181,656,268,573,446,132,619,171,212,857,062,691,750,215,940,891,687,148,
423,178,328,274,275,741,127,354,478,585,369,349,589,481,120,193,668,734,745,
402,137,867,430,820,352,428,322,788,018,605,340,307,854,369,841,630,382,916,
483,014,506,752,712,114,593,477,062,057,256,432,042,044,879,386,473,800,704,
081,688,987,842,218,337,102,560,614,590,600,348,619,776,131,416,782,975,996,
641,508,237,892,317,097,082,029,785,981,561,650,474,055,098,598,282,134,665,
724,359,089,276,740,246,960,476,877,891,687,572,356,260,141,533,077,469,073,
193,999,967,330,672,330,569,692,773,977,025,463,736,665,306,187,088,360,388,
883,878,980,439,641,191,558,047,224,412,978,901,551,928,336,044,858,827,775,
036,821,172,154,755,947,775,178,982,220,446,420,702,334,409,906,104,629,180,
503,978,276,981,182,788,466,271,876,548,154,241,520,413,680,377,989,404,620,
938,791,000,967,116,725,931,967,616,196,116,197,233,798,003,639,859,357,854,
550,544,241,768,456,709,113,601,068,960,446,327,681,124,993,890,667,010,123,
188,098,868,540,087,927,535,072,844,141,317,501,146,777,419,756,165,623,776,
669,278,671,228,023,071,096,042,944,887,157,786,569,549,319,486,510,160,582,
092,478,056,243,418,963,902,497,230,536,158,455,221,835,696,320,789,365,302,
669,994,440,363,064,296,456,569,735,824,471,145,401,195,471,169,313,632,246,
078,340,189,714,843,208,868,626,797,489,089,423,049,106,178,642,012,287,594,
155,271,003,837,820,175,473,523,989,379,256,097,336,614,863,220,274,692,643,
811,521,968,174,638,256,972,058,874,811,376,912,477,410,028,658,403,081,234,
243,612,768,475,976,403,459,338,631,345,242,968,972,069,078,506,210,416,663,
604,751,370,780,986,810,655,830,902,791,284,237,516,751,650,708,977,644,380,
616,227,003,559,340,475,693,561,785,394,487,222,675,618,975,807,966,695,640,
773,735,508,672,280,010,865,048,543,825,726,366,611,460,681,057,724,596,871,
401,068,498,566,967,929,015,349,186,018,245,382,955,152,112,874,761,819,460,
628,639,219,421,118,849,510,059,534,198,793,425,750,500,886,527,330,208,365,
439,883,327,892,842,263,842,235,375,800,258,219,747,934,401,219,926,974,399,
980,311,177,552,714,188,101,338,383,830,023,240,736,480,798,170,099,738,804,
680,491,890,747,121,113,815,290,890,519,309,106,815,565,628,850,767,559,345,
804,097,578,120,170,066,322,570,558,088,660,841,731,422,700,572,194,314,388,
309,223,992,359,303,784,924,965,986,505,811,048,475,982,709,623,240,023,760,
856,626,917,323,428,245,662,597,388,337,593,200,077,909,005,639,562,569,768,
232,170,056,672,188,760,946,513,413,298,364,790,477,908,928,603,864,706,779,
360,120,646,837,242,226,662,001,008,168,834,052,170,907,152,233,358,681,306,
070,099,129,458,881,586,951,001,693,789,124,768,049,110,188,597,416,262,419,
427,131,975,994,662,916,125,362,641,974,408,372,269,573,775,943,049,462,071,
613,864,799,605,910,834,074,018,416,190,515,216,106,548,668,570,663,021,673,
405,805,366,614,631,797,558,772,316,544,461,764,363,382,186,929,894,704,481,
217,740,126,486,217,121,916,407,404,541,464,391,227,655,652,890,406,314,427,
840,386,387,942,785,603,844,217,085,277,279,150,577,823,671,685,224,532,930,
359,496,050,427,953,930,792,422,576,720,604,076,499,180,042,919,286,293,930,
942,829,033,094,197,859,326,408,235,216,929,296,696,417,063,338,700,214,479,
909,840,642,792,254,731,675,135,765,472,738,167,579,608,067,141,832,862,310,
490,139,197,926,854,300,094,869,563,104,926,081,807,699,450,781,221,943,133,
372,583,965,335,526,124,939,536,080,684,531,957,445,113,918,887,118,266,105,
082,258,149,612,539,531,075,553,036,112,208,965,472,403,018,895,270,366,710,
564,541,621,434,506,189,056,678,327,225,754,855,736,371,388,816,594,505,264,
409,723,010,738,251,808,379,409,041,381,867,364,753,873,295,980,852,166,657,
901,661,090,472,066,770,230,187,475,103,878,015,029,761,402,198,165,272,750,
540,974,551,783,690,607,378,366,570,157,428,773,691,893,906,063,976,906,664,
314,954,063,521,127,666,202,245,201,078,201,253,913,604,857,183,841,336,494,
628,224,339,998,222,450,405,241,162,136,217,615,002,091,536,272,159,168,202,
264,435,220,274,131,961,235,910,078,326,071,808,418,484,289,192,597,799,519,
327,701,656,709,637,821,712,148,975,877,660,595,738,463,407,335,529,988,728,
004,376,325,802,139,370,478,034,479,650,921,688,336,796,394,222,037,547,536,
557,738,493,666,736,894,889,490,367,971,343,271,226,019,677,716,178,289,837,
601,721,385,199,942,657,324,577,901,555,557,110,202,940,478,516,971,293,766,
959,489,701,287,161,134,865,668,996,428,649,999,123,131,891,522,352,582,194,
027,620,452,400,346,054,617,499,649,679,297,194,813,108,011,751,971,010,922,
237,129,318,819,445,203,948,684,515,837,561,474,608,539,489,133,498,174,079,
285,488,962,397,841,919,482,884,773,544,664,030,999,290,598,414,552,551,423,
776,918,326,002,330,782,311,425,252,143,304,473,193,674,367,998,268,336,974,
058,972,578,049,777,459,304,914,331,790,372,189,954,590,977,529,236,482,042,
041,100,595,021,519,083,927,764,329,959,873,346,305,639,681,612,219,777,196,
441,988,049,425,249,923,047,852,872,384,955,871,849,065,715,020,956,041,987,
603,822,847,602,379,833,930,414,730,905,797,762,124,211,404,491,782,792,160,
352,425,272,310,251,480,978,726,318,111,261,189,815,830,653,499,068,297,136,
558,848,451,416,076,985,280,285,936,220,864,101,552,130,704,168,509,155,812,
005,897,297,066,854,595,029,584,569,090,577,384,970,018,473,409,226,778,043,
978,533,919,569,868,285,407,212,001,527,256,425,919,650,889,328,013,189,729,
080,131,058,740,608,797,416,148,665,954,152,838,638,430,548,606,220,756,305,
863,458,260,624,029,835,803,318,695,700,632,737,937,770,857,004,833,731,002,
768,552,823,406,344,413,906,693,456,513,364,975,180,608,777,247,582,756,724,
803,532,086,503,048,019,279,017,775,979,255,254,479,328,196,117,234,090,152,
133,209,830,999,142,728,981,734,272,652,396,778,265,030,382,673,437,058,157,
022,999,306,337,754,047,920,650,940,725,178,822,271,058,298,861,206,965,556,
060,973,767,220,143,465,599,102,205,733,069,436,500,779,634,758,437,195,460,
513,492,211,170,272,542,330,071,836,830,288,738,035,297,314,250,790,610,799,
344,605,414,549,012,217,145,324,258,781,889,793,273,545,536,901,452,743,251,
164,311,909,472,312,853,631,117,186,919,663,316,798,833,507,434,257,495,022,
861,592,626,927,864,037,116,778,005,250,871,635,427,254,078,750,486,255,809,
173,291,404,788,418,000,464,927,443,000,778,043,033,973,712,146,614,355,888,
136,528,469,136,951,883,457,796,661,205,958,522,815,119,113,540,430,794,674,
326,774,369,820,013,634,746,417,424,256,906,464,689,389,647,829,082,112,713,
256,157,751,489,053,785,355,577,804,637,640,142,973,709,747,784,107,801,275,
879,570,696,330,472,658,161,318,686,744,797,015,694,393,999,214,724,310,636,
746,673,737,318,867,959,939,894,895,981,603,622,816,965,205,424,120,277,474,
007,895,989,928,410,924,997,457,511,723,965,608,485,195,332,153,159,373,087,
174,878,026,722,402,927,413,130,652,792,055,588,444,840,450,039,793,147,416,
089,352,043,084,099,638,976,755,720,482,535,595,938,595,062,577,128,255,717,
767,003,117,221,933,341,401,287,795,900,346,759,271,623,968,955,379,047,193,
437,755,844,106,391,092,505,065,445,550,757,245,314,865,150,959,677,820,211,
554,725,413,285,193,742,966,190,226,570,764,446,705,259,680,196,813,181,291,
758,375,841,678,494,475,077,565,890,467,932,816,094,908,804,154,854,556,632,
765,311,284,632,862,398,113,594,751,817,260,598,090,676,583,528,673,667,511,
346,054,759,183,683,284,434,108,765,061,057,740,942,716,644,456,860,764,433,
068,720,537,190,211,448,410,275,602,950,881,950,323,735,667,203,825,977,025,
200,509,953,733,869,307,346,816,330,215,664,475,981,759,004,861,044,030,986,
759,202,390,769,818,174,725,970,896,952,896,599,972,895,926,242,946,291,835,
924,116,813,990,574,297,662,792,868,106,265,164,822,835,595,738,812,103,208,
514,862,512,218,738,236,975,925,036,883,991,021,504,519,943,255,875,705,792,
869,859,370,403,157,999,631,545,794,692,283,044,261,842,863,325,240,933,246,
191,160,239,201,993,023,992,100,476,354,495,400,139,292,700,747,138,334,646,
225,792,803,682,743,737,522,907,337,481,996,401,868,352,333,619,661,465,472,
027,430,631,914,721,231,216,085,215,734,281,858,409,284,943,140,635,136,638,
977,166,803,471,096,360,947,625,608,654,325,166,994,093,372,169,644,659,921,
664,557,782,589,930,093,469,134,480,390,615,470,071,742,062,377,648,756,044,
632,089,825,598,731,622,250,778,796,828,331,026,240,601,806,980,580,888,411,
598,349,619,360,894,122,531,354,386,182,246,862,039,580,803,332,581,807,737,
202,174,577,839,034,652,469,281,109,584,651,980,211,416,222,837,111,807,742,
846,022,684,143,143,152,557,193,460,520,823,572,206,170,592,387,922,153,197,
783,293,370,340,907,608,295,256,480,086,098,061,549,986,617,234,904,147,124,
366,928,223,006,308,274,865,211,419,937,960,799,949,811,311,214,002,085,813,
844,804,243,138,177,620,182,982,119,139,658,235,131,617,410,350,799,583,536,
301,944,772,379,714,049,619,263,286,333,988,949,716,239,805,579,241,771,689,
590,213,513,819,405,948,770,808,934,616,773,291,295,761,871,968,535,209,235,
576,560,397,895,593,900,382,443,158,981,047,331,218,150,348,363,938,767,693,
100,072,869,323,512,596,550,213,067,257,023,393,066,154,803,737,741,063,388,
025,073,869,937,587,290,320,678,730,561,538,094,199,465,886,471,462,425,966,
210,009,870,831,226,110,943,630,858,574,230,366,206,838,150,477,250,103,418,
300,867,740,510,769,072,870,365,114,640,206,399,908,379,067,644,912,542,670,
855,209,380,127,665,391,910,380,235,936,729,133,524,990,591,947,359,759,035,
473,164,407,381,885,661,884,244,355,981,125,546,397,518,519,946,016,568,169,
906,512,312,345,203,483,921,834,300,820,319,095,510,379,815,514,499,751,114,
189,951,164,193,891,644,835,228,400,995,801,460,439,874,723,369,553,539,443,
862,816,873,436,316,335,681,626,205,357,834,782,299,783,565,882,837,344,138,
412,853,998,392,065,625,995,846,642,667,894,187,507,616,763,507,111,127,079,
416,493,634,448,163,011,686,184,069,363,752,068,595,844,956,478,541,572,736,
927,696,262,110,433,620,231,113,027,579,614,027,328,139,199,990,659,795,561,
376,983,173,112,644,708,316,160,560,139,331,282,903,789,371,203,479,013,564,
719,444,745,927,053,860,963,326,907,643,204,577,807,188,605,194,089,235,020,
738,550,800,661,428,562,896,869,700,059,791,014,912,963,495,074,249,367,132,
979,225,091,803,932,483,526,436,898,945,055,955,169,478,660,309,965,287,850,
776,838,877,606,763,503,753,177,488,370,004,708,036,032,967,811,203,225,305,
049,157,637,287,621,091,433,592,639,386,214,084,990,438,265,327,640,090,742,
104,962,079,750,925,051,618,723,337,336,709,794,055,106,121,068,521,019,206,
397,752,698,369,215,066,902,704,446,955,651,320,650,904,810,036,716,063,342,
923,122,485,183,321,431,002,343,194,881,819,503,014,832,171,539,023,249,588,
471,823,578,418,061,487,345,985,372,502,892,704,777,441,100,461,983,696,866,
187,596,644,217,449,790,808,203,277,493,757,055,055,544,385,388,700,533,896,
419,740,801,857,698,876,191,168,854,106,538,366,023,668,927,224,929,635,338,
265,045,911,720,899,764,280,946,381,778,833,384,501,055,809,403,216,386,307,
987,534,393,025,853,679,586,075,495,289,706,377,828,340,431,300,340,805,930,
580,200,093,729,404,280,050,777,453,472,628,443,478,409,730,779,890,891,741,
852,283,204,189,543,432,824,723,978,272,239,251,908,926,653,233,958,790,398,
945,504,869,583,924,542,994,856,435,846,920,707,644,576,100,592,213,720,377,
746,416,249,389,536,035,596,173,785,873,961,567,980,041,383,357,516,253,250,
192,758,626,345,720,080,720,109,390,407,064,660,320,674,081,337,533,673,041,
217,731,739,594,164,620,777,457,744,302,329,904,584,326,214,148,531,198,967,
300,793,084,049,350,986,814,245,107,819,769,408,179,313,511,977,386,542,632,
460,152,666,388,900,934,349,632,761,349,116,833,683,121,593,859,199,134,047,
225,979,727,655,541,905,911,388,720,047,274,186,663,255,416,301,784,504,834,
214,617,011,708,315,593,555,578,876,066,555,383,884,620,880,840,783,015,760,
523,088,516,433,229,732,439,078,801,446,467,361,683,755,675,407,821,713,455,
560,358,229,888,327,612,424,485,202,756,923,326,115,227,148,452,373,373,958,
903,256,485,790,770,239,529,064,369,401,115,510,558,834,977,943,695,216,842,
462,291,413,239,953,350,295,646,190,151,981,802,415,877,788,711,288,776,569,
640,006,711,774,643,475,677,105,372,988,437,925,156,783,683,428,674,686,193,
612,912,470,483,541,235,647,554,378,426,455,607,200,445,527,514,745,933,253,
961,526,711,250,120,711,562,230,285,640,084,677,720,470,074,821,800,970,278,
375,037,532,387,272,409,273,733,627,451,999,873,079,263,884,045,189,213,008,
625,374,944,236,080,992,715,965,409,354,687,394,820,500,683,908,563,177,111,
182,474,439,211,687,304,596,951,648,744,728,757,148,056,278,949,429,884,529,
832,318,583,350,438,668,018,814,921,212,028,132,683,456,375,846,699,637,319,
573,116,526,513,287,626,599,667,785,829,554,547,326,050,868,992,867,509,519,
945,717,886,536,089,114,011,226,542,454,034,317,544,133,880,074,141,542,038,
442,279,905,839,943,073,688,069,752,200,778,459,706,371,059,164,709,852,915,
216,314,191,196,578,251,824,130,361,198,073,409,077,150,217,546,451,292,278,
426,059,505,739,983,352,455,618,486,599,772,936,754,587,926,127,391,685,101,
159,276,526,518,273,266,739,410,701,010,965,734,074,861,675,602,975,117,604,
916,849,797,221,914,623,719,987,192,353,062,720,283,925,688,620,453,119,311,
012,838,888,596,916,903,025,159,505,584,136,977,560,264,390,981,921,427,409,
678,132,513,957,190,438,221,265,083,831,894,759,622,361,773,731,799,276,244,
142,472,306,585,263,440,104,315,155,677,343,815,230,983,859,143,712,599,891,
777,173,515,596,644,899,954,674,557,798,947,014,792,197,496,160,726,949,262,
385,000,002,582,701,817,291,160,561,115,550,541,230,750,655,671,455,026,704,
927,517,629,391,151,620,100,415,780,055,983,793,595,696,595,867,794,343,184,
874,983,560,846,621,848,852,134,952,756,909,185,354,929,017,441,715,918,076,
799,144,842,523,683,232,296,470,308,454,646,334,611,862,826,020,923,622,779,
169,549,322,222,182,374,813,523,360,265,827,049,595,618,073,401,066,283,360,
016,920,041,042,859,599,499,745,788,131,872,037,241,949,966,462,355,790,055,
955,846,057,171,844,050,401,027,869,522,740,501,671,338,225,403,409,885,978,
552,872,137,256,339,774,531,843,893,591,605,523,646,077,360,794,133,830,160,
335,518,380,627,597,270,654,011,537,221,867,635,719,569,947,626,951,777,673,
826,807,330,157,523,313,248,334,822,018,998,246,714,551,363,050,533,851,852,
123,546,040,837,792,267,170,259,003,508,333,932,905,152,000,987,025,987,574,
314,285,096,171,478,492,603,172,439,652,263,391,954,046,501,657,024,231,259,
777,636,241,864,129,527,432,706,462,755,083,620,220,526,487,427,942,856,765,
291,566,140,170,533,076,611,983,614,710,482,154,839,757,036,500,564,458,455,
937,282,001,121,171,536,876,520,240,211,085,102,946,550,278,176,216,612,827,
253,887,017,817,515,133,804,555,372,109,464,810,143,699,826,209,140,226,758,
846,585,741,235,211,081,014,493,576,840,864,119,284,933,441,541,737,837,201,
991,019,224,656,443,721,399,994,642,498,143,106,654,515,578,717,700,953,288,
051,016,494,343,918,085,649,459,507,119,576,743,422,846,377,467,240,107,417,
572,854,692,810,235,010,506,148,005,880,373,217,984,106,851,209,863,492,555,
786,687,715,347,678,035,900,745,824,171,603,198,598,077,591,219,074,554,968,
530,958,045,878,762,339,941,130,295,699,173,373,555,936,889,227,391,502,554,
096,046,312,567,193,753,106,021,579,141,728,986,110,193,404,145,762,390,748,
184,260,419,478,709,030,136,654,599,823,397,292,475,058,831,318,368,297,031,
994,433,966,367,639,586,741,578,112,868,799,837,482,858,899,802,306,009,159,
067,543,048,005,884,846,782,705,101,683,639,311,792,786,488,673,706,730,861,
266,529,488,197,952,101,357,391,158,975,498,635,130,074,421,452,754,914,247,
993,834,066,679,300,080,265,906,126,460,541,675,807,100,436,758,665,274,813,
027,646,912,722,543,257,383,282,404,057,547,338,464,400,984,478,828,910,604,
702,749,144,258,260,676,373,191,206,168,519,483,816,564,215,951,570,110,276,
641,330,673,301,074,555,266,183,253,338,923,780,634,011,892,820,440,395,107,
280,750,648,073,677,599,013,676,263,822,139,073,525,638,543,237,020,502,618,
636,290,678,705,746,287,625,649,306,387,427,208,455,691,928,561,409,056,887,
366,944,247,301,368,116,205,299,615,770,363,666,775,653,267,074,737,761,338,
319,412,491,573,054,517,171,630,019,006,950,144,308,088,557,115,102,412,303,
931,614,659,984,551,925,024,974,836,064,809,751,706,088,277,080,467,385,254,
551,899,032,470,644,212,183,466,815,766,388,088,773,169,280,085,501,185,497,
748,017,680,672,862,430,460,482,292,752,912,244,376,309,255,537,977,507,879,
075,487,007,668,896,895,664,454,094,264,767,578,057,460,096,910,193,228,279,
120,202,848,556,736,277,001,024,635,842,419,288,144,136,043,432,623,127,530,
482,063,569,415,097,733,720,186,468,977,726,090,591,980,081,538,731,770,794,
182,441,449,410,658,469,410,445,640,092,352,869,377,431,331,553,064,266,482,
302,757,229,542,307,870,433,244,673,453,839,616,898,825,141,453,798,487,812,
054,967,172,849,411,153,401,860,141,084,005,964,159,160,760,358,497,097,145,
958,405,841,996,120,581,173,925,132,598,568,475,406,388,304,180,450,003,572,
417,450,893,584,588,754,232,670,880,551,006,943,132,349,179,685,993,227,167,
274,864,841,998,137,967,981,933,033,560,238,881,530,820,303,866,957,670,161,
398,966,281,320,687,452,234,673,924,273,286,097,776,739,398,470,905,967,081,
901,852,218,666,713,034,575,776,121,995,932,001,710,162,428,810,292,230,319,
285,574,043,909,692,092,705,501,294,953,435,857,719,455,084,229,606,136,430,
147,942,341,087,705,636,412,863,624,310,223,020,310,411,588,880,796,610,469,
579,056,313,930,744,129,533,999,542,287,161,893,539,596,377,535,847,948,085,
257,549,807,869,284,334,968,043,219,317,221,797,825,913,377,460,196,586,295,
494,677,842,738,609,357,637,507,801,301,609,808,321,078,078,989,129,400,605,
859,618,305,855,795,190,345,874,467,322,309,347,684,221,072,837,486,012,115,
992,584,594,606,680,215,564,691,535,551,495,066,300,012,178,028,520,717,001,
923,310,507,535,373,699,223,080,889,334,033,567,013,001,510,590,128,346,263,
552,620,455,863,328,262,949,836,925,901,778,658,824,736,492,831,433,837,253,
560,306,145,295,992,610,553,520,638,987,393,926,696,007,786,853,821,646,585,
159,713,777,931,700,555,616,658,184,139,409,792,303,740,109,114,468,462,906,
192,207,981,739,874,763,656,814,016,493,494,701,202,280,838,997,046,108,958,
747,659,338,601,802,236,874,530,054,978,517,005,669,143,502,740,321,817,243,
129,246,073,876,652,570,094,978,259,298,122,784,163,560,193,464,632,006,453,
622,149,109,593,679,014,790,752,254,671,861,194,501,855,150,988,569,268,340,
072,880,492,556,318,363,846,642,867,618,078,666,963,186,995,650,526,526,928,
259,722,647,747,128,630,410,374,412,743,006,865,481,843,939,242,969,315,503,
253,889,579,992,177,473,218,354,793,183,547,111,017,434,564,975,641,617,366,
892,444,788,974,119,082,366,751,548,079,332,355,110,119,291,692,645,733,789,
754,101,867,984,185,876,470,808,178,604,472,345,913,402,563,450,253,092,301,
784,814,726,136,632,516,519,217,209,462,215,513,996,275,777,132,316,373,914,
281,617,805,542,220,147,008,338,608,102,730,813,567,218,125,323,541,670,370,
928,679,113,982,195,427,899,069,995,448,936,071,634,267,585,745,974,909,463,
815,895,654,041,697,589,541,272,532,634,447,437,029,383,966,369,208,484,787,
649,036,182,809,735,979,088,235,711,117,038,465,724,000,844,785,609,171,464,
118,902,617,625,081,062,357,274,348,185,614,541,588,507,311,095,095,125,305,
889,658,966,613,863,048,250,244,912,175,586,908,705,259,257,751,154,270,517,
158,463,814,282,488,538,253,790,765,255,475,752,660,582,842,275,976,280,556,
315,708,395,221,877,400,854,119,490,591,163,061,426,463,775,626,409,833,579,
648,660,209,127,445,661,123,616,010,833,642,209,572,070,881,050,923,133,713,
148,779,465,444,694,048,583,538,483,570,150,572,889,787,132,885,852,042,136,
577,880,115,487,696,678,500,616,403,766,328,867,291,936,400,694,808,927,249,
744,836,285,969,787,140,873,797,187,969,334,706,309,924,601,158,554,745,702,
778,899,191,073,399,996,551,168,330,665,903,885,924,591,503,755,045,831,632,
157,932,438,290,075,909,249,766,978,402,994,162,965,874,058,863,007,921,389,
555,224,887,875,748,452,705,910,377,381,235,126,095,529,701,786,300,651,826,
653,170,426,444,624,622,092,410,554,947,476,806,398,574,936,021,667,889,678,
818,978,908,218,542,981,483,020,687,485,920,855,598,882,754,892,156,978,175,
011,534,605,499,415,942,435,499,215,122,882,056,641,189,222,069,740,869,821,
928,499,053,441,451,388,329,298,451,087,757,109,501,979,635,481,170,807,536,
562,117,655,769,780,562,885,363,026,592,918,156,033,923,694,269,100,249,315,
755,138,001,412,944,371,336,135,513,702,358,449,224,059,561,078,320,909,166,
310,880,264,999,920,486,733,823,178,111,483,445,110,727,099,764,657,734,259,
806,898,837,931,057,809,598,934,155,592,362,577,419,571,610,739,128,192,693,
717,412,937,442,901,715,007,407,314,352,061,043,111,441,528,981,481,876,671,
029,939,171,016,579,195,150,272,776,216,187,702,329,166,756,340,850,934,396,
147,827,853,970,276,242,505,626,503,075,427,455,852,866,546,088,693,300,066,
416,922,164,896,124,797,128,061,699,637,187,199,946,929,281,256,020,817,153,
298,908,353,083,364,226,735,057,986,698,407,490,308,935,078,192,836,195,058,
955,736,266,579,806,750,617,552,946,275,126,245,537,808,756,061,161,233,108,
809,602,910,384,894,809,693,626,499,599,136,274,939,416,618,811,761,520,709,
725,808,759,898,389,683,236,730,043,984,957,266,816,768,158,533,513,126,714,
441,988,475,452,380,184,810,018,929,495,504,796,268,606,946,281,949,464,601,
054,626,668,445,019,844,706,911,681,904,579,351,824,510,316,950,950,530,442,
946,131,033,207,077,761,089,314,097,697,962,380,851,148,312,363,749,105,136,
675,869,311,223,911,924,909,315,994,317,805,108,930,888,015,649,517,300,869,
003,044,088,387,914,535,034,837,027,273,917,485,367,042,493,576,426,161,623,
684,010,803,580,121,093,332,875,386,431,471,600,262,995,133,459,914,636,258,
965,554,941,610,129,193,494,163,591,389,288,016,206,165,430,376,015,062,867,
315,050,824,484,551,953,093,248,530,404,394,990,459,514,336,546,586,667,698,
323,611,700,522,368,769,928,224,349,543,186,829,421,580,617,166,014,006,472,
106,617,915,699,757,933,649,512,830,799,658,297,557,831,905,742,369,172,351,
045,559,236,672,203,202,109,712,653,090,701,600,851,161,847,968,172,884,940,
041,776,734,401,951,782,866,707,344,616,322,485,240,237,511,610,255,349,301,
046,329,535,150,871,037,101,925,098,125,674,724,024,130,223,688,117,258,958,
549,502,008,417,965,804,600,152,543,760,752,134,826,191,405,340,318,269,538,
989,422,431,065,377,779,413,996,306,294,895,874,755,785,793,591,121,655,581,
050,678,633,143,409,947,472,853,115,136,077,117,814,383,611,196,435,267,756,
147,745,766,923,748,814,292,438,633,030,393,052,496,471,071,704,086,691,988,
031,917,559,999,247,224,119,655,542,509,359,795,969,806,310,250,530,047,168,
277,375,819,149,845,705,939,623,280,139,926,866,696,000,847,755,841,691,769,
916,858,193,169,002,286,823,172,706,776,792,127,673,466,177,555,546,867,572,
755,869,041,118,259,220,372,685,041,452,852,482,320,819,634,624,838,696,694,
829,702,656,650,728,670,940,500,690,388,161,855,570,881,541,618,645,605,030,
033,967,109,680,520,817,704,203,686,600,358,734,216,535,102,669,213,749,920,
936,810,864,237,840,031,765,543,131,578,344,146,092,563,366,019,514,464,490,
860,837,060,663,301,701,955,446,103,633,856,670,524,026,955,269,809,500,780,
488,973,188,459,633,340,955,523,020,752,585,864,453,640,916,735,273,411,800,
572,098,409,400,566,381,410,382,283,701,711,995,826,691,130,199,806,405,040,
722,161,844,310,104,980,122,955,143,464,252,342,048,904,706,876,895,333,509,
092,785,614,234,931,017,638,760,197,597,639,395,250,248,247,943,785,028,373,
164,993,952,869,006,302,454,400,768,736,757,288,688,725,430,015,451,193,756,
859,259,048,047,774,646,141,775,100,987,937,347,144,755,715,776,478,266,682,
592,915,748,322,531,735,618,339,778,020,792,298,661,383,355,270,862,646,683,
279,004,613,900,757,199,122,382,734,368,009,303,794,479,947,034,905,669,893,
606,525,978,814,806,501,420,892,295,328,247,879,007,534,612,689,823,956,170,
896,522,963,785,229,050,339,087,022,473,988,512,026,187,056,597,589,653,663,
667,269,455,788,713,705,027,058,059,990,098,165,007,806,238,983,634,639,255,
163,549,221,940,624,564,801,569,107,538,702,587,169,145,013,823,104,853,485,
939,029,801,813,004,077,321,797,851,664,895,083,104,662,438,182,508,108,313,
552,146,143,391,525,256,571,406,790,669,193,648,106,991,814,681,701,909,367,
435,944,104,236,615,322,107,960,831,507,434,908,483,359,162,151,164,627,572,
316,977,844,178,342,812,432,770,862,216,750,364,286,560,343,011,894,475,647,
204,762,402,461,962,795,784,178,771,621,873,425,158,660,491,737,172,444,569,
353,156,176,652,165,851,587,728,952,480,450,519,138,500,666,257,263,962,100,
110,853,894,552,262,270,227,190,389,212,670,860,221,736,223,047,915,014,376,
090,051,761,949,012,899,152,683,837,909,016,318,425,948,164,544,820,434,217,
995,373,793,477,233,212,540,901,206,033,519,496,854,383,965,368,780,570,530,
601,428,518,659,264,026,086,816,440,557,943,520,264,074,414,286,319,951,854,
386,694,235,104,537,690,057,069,750,312,139,183,214,020,783,413,278,334,555,
906,170,523,238,990,519,530,605,606,717,771,305,208,397,766,128,583,650,467,
453,566,959,898,704,088,210,449,247,316,543,363,497,181,615,306,642,468,107,
127,572,559,647,614,273,859,233,049,387,513,514,501,268,718,111,093,366,233,
879,541,560,057,421,770,035,758,457,085,853,856,219,583,062,394,936,063,890,
919,731,113,342,188,669,748,284,972,942,736,105,715,944,377,811,557,203,320,
509,580,117,995,874,861,274,718,016,506,843,714,936,743,105,437,210,472,226,
311,134,306,139,198,112,162,724,060,202,846,562,086,462,668,349,798,928,221,
384,093,234,290,999,667,748,379,355,421,925,440,326,666,991,764,031,567,864,
800,713,029,209,317,541,773,916,274,943,260,408,823,403,986,005,079,365,949,
718,437,623,576,381,256,768,750,959,207,549,979,672,277,113,381,138,358,173,
566,238,550,139,588,987,164,865,119,444,178,579,393,758,826,154,091,972,814,
223,272,753,222,260,535,814,296,485,730,179,223,488,919,618,362,759,462,039,
984,084,261,887,291,892,673,650,882,906,521,039,152,220,987,679,050,592,657,
418,146,576,276,187,448,838,375,762,901,905,411,594,119,957,857,301,978,607,
526,566,616,907,996,938,810,447,885,452,919,306,402,749,011,569,311,680,782,
310,853,144,446,771,995,155,560,381,207,401,424,523,556,736,680,439,220,149,
980,445,509,457,110,758,273,188,532,683,697,176,368,427,953,038,696,808,284,
093,155,524,568,774,270,492,996,466,756,554,219,822,566,703,137,598,921,023,
185,395,259,715,555,080,920,637,892,899,703,310,019,757,135,620,131,720,026,
459,896,790,841,760,665,943,839,124,568,558,445,055,682,596,655,989,128,143,
676,730,089,887,707,146,900,547,044,212,345,922,858,899,012,854,734,057,213,
483,345,559,896,877,024,876,229,977,312,330,833,792,124,752,072,279,481,569,
559,476,982,498,878,029,541,242,065,985,256,325,933,450,576,690,205,785,261,
421,155,731,826,098,751,656,104,155,996,607,982,676,035,597,076,440,965,700,
915,137,018,419,884,785,012,039,655,857,644,389,697,647,927,658,318,315,148,
817,668,041,282,229,719,452,984,416,580,443,119,300,330,967,415,901,069,085,
797,131,632,913,057,492,819,516,464,138,705,010,935,058,594,336,834,847,514,
946,369,379,049,763,577,769,236,500,676,080,015,754,279,799,650,823,754,386,
270,253,846,752,430,744,995,954,071,105,221,216,575,880,905,097,445,856,750,
844,523,259,173,574,523,323,243,690,062,359,886,430,755,220,390,565,297,609,
610,965,228,702,834,247,428,033,394,138,614,943,977,933,992,767,874,090,152,
261,434,676,933,224,459,835,137,016,473,494,950,906,101,524,978,122,491,651,
807,296,059,520,885,901,067,431,331,218,869,264,188,922,801,892,524,222,908,
149,860,784,931,132,949,203,499,441,353,138,074,718,879,692,748,843,434,836,
488,372,839,750,783,011,053,405,418,938,611,409,097,958,522,122,255,785,310,
917,855,200,325,242,545,002,512,380,009,591,896,998,827,626,152,730,796,109,
215,294,777,662,675,476,742,417,580,501,968,805,007,328,918,920,548,843,081,
340,055,733,867,187,612,492,893,392,112,482,445,138,615,555,161,483,999,014,
141,379,428,844,061,860,869,776,128,699,549,519,285,163,006,818,434,449,452,
452,059,409,013,482,437,170,865,561,815,632,061,198,002,513,164,820,327,164,
012,023,489,578,943,744,011,517,298,551,687,715,055,826,574,692,922,140,745,
355,757,421,785,944,650,482,139,930,509,857,012,188,171,970,371,422,026,084,
528,233,863,606,216,490,051,689,078,258,095,967,390,066,052,778,305,718,488,
479,426,979,586,075,550,011,478,382,517,869,251,197,275,110,075,869,309,839,
048,472,162,955,474,109,360,784,066,529,223,126,674,683,510,690,611,010,008,
005,901,590,639,429,681,264,536,977,545,023,880,618,834,798,230,786,960,832,
271,007,489,217,261,329,642,654,479,370,827,515,497,722,087,112,378,936,232,
141,071,839,055,558,787,986,426,764,026,297,268,515,375,301,324,978,784,632,
012,767,828,975,407,408,909,006,461,416,768,721,574,082,224,661,981,392,077,
957,338,609,386,947,130,778,745,023,206,611,748,346,650,067,367,186,973,186,
678,196,771,552,068,924,458,350,258,416,103,303,045,078,143,777,909,885,585,
984,826,103,250,809,260,304,816,734,379,715,185,965,708,124,012,036,746,118,
109,966,179,474,835,043,569,315,312,753,817,377,822,039,123,182,448,082,593,
626,198,342,217,366,527,130,191,782,635,745,860,833,028,636,598,831,519,949,
898,163,455,839,602,678,969,211,590,103,133,330,969,414,636,445,052,319,035,
253,409,487,167,361,175,883,688,224,375,616,373,521,131,796,404,421,569,824,
355,202,294,473,421,422,181,411,247,079,287,610,307,826,469,233,880,143,335,
743,084,009,149,504,189,057,563,980,987,448,898,870,056,598,545,532,122,820,
320,000,702,665,321,333,611,951,847,086,400,887,936,715,087,537,541,286,119,
146,059,891,138,869,351,102,056,756,717,990,185,729,096,497,552,416,356,583,
303,079,141,175,625,182,667,088,968,216,985,394,798,755,265,683,544,342,887,
077,790,472,490,936,601,380,860,265,308,756,107,238,723,678,711,657,844,969,
397,421,965,748,769,635,968,067,916,082,716,260,340,347,354,086,040,068,383,
290,667,467,454,868,432,473,903,453,465,875,125,704,044,929,441,150,144,754,
960,664,317,419,318,776,029,548,558,951,382,373,287,541,765,278,991,131,759,
436,785,332,101,910,546,515,190,611,053,281,656,318,476,703,526,855,822,738,
271,853,405,405,351,472,892,781,556,230,408,655,975,894,931,858,883,471,540,
531,496,058,525,370,445,536,754,457,987,329,407,666,326,714,310,174,875,489,
772,208,456,976,041,467,088,440,024,976,025,157,707,716,541,629,138,838,295,
842,788,789,487,387,224,894,238,065,484,331,276,418,949,105,984,482,407,758,
658,988,658,689,535,586,485,387,003,897,754,480,250,631,968,865,275,542,308,
417,306,680,494,580,158,781,792,408,208,921,434,393,982,564,841,020,891,355,
493,131,732,735,640,750,327,007,152,752,652,340,495,369,771,017,602,587,842,
005,875,523,514,213,832,909,104,228,948,183,767,477,654,910,040,063,938,013,
749,501,205,736,631,581,135,602,125,755,912,924,071,479,282,921,457,397,623,
973,234,028,564,940,309,866,548,960,865,977,933,469,274,427,174,101,711,993,
432,467,701,362,615,293,021,857,555,402,498,058,958,110,483,278,808,523,827,
616,898,219,620,879,060,317,724,123,237,526,251,972,846,682,593,174,118,169,
324,426,678,662,773,802,439,116,551,869,732,517,681,427,765,624,848,483,272,
898,418,628,580,647,581,049,322,108,971,714,504,762,189,296,854,422,762,771,
115,289,007,247,792,682,092,440,703,219,402,385,628,969,824,828,734,605,568,
342,161,352,872,808,612,406,110,505,499,372,649,928,030,384,384,769,357,397,
606,261,126,027,422,038,606,674,803,450,763,185,182,748,965,852,898,238,516,
758,092,411,862,526,755,189,220,416,706,847,583,140,204,842,684,042,045,514,
743,562,384,813,484,925,412,851,398,789,030,620,213,059,507,491,235,320,599,
129,589,986,514,225,551,434,320,279,753,895,322,021,424,630,833,610,089,772,
245,973,832,851,577,333,641,943,129,306,775,672,966,849,337,347,505,226,460,
761,572,587,270,254,081,586,729,638,119,183,502,178,593,508,013,770,127,453,
332,334,106,984,237,942,520,846,331,214,375,853,237,591,823,981,359,782,274,
561,480,740,809,557,351,394,961,775,067,474,591,222,899,242,595,693,760,118,
899,759,918,045,993,085,468,616,380,007,796,717,130,726,576,635,916,077,216,
342,331,880,726,419,329,827,871,349,151,416,659,881,526,683,753,713,872,205,
505,374,648,826,671,958,421,083,233,959,774,331,058,811,972,207,582,158,301,
084,557,398,864,398,019,593,942,073,824,233,392,881,326,697,395,327,370,248,
073,257,373,787,429,060,971,134,789,185,192,481,775,308,749,899,164,049,284,
842,060,505,683,950,928,882,590,528,077,715,673,302,246,300,000,406,844,167,
306,836,186,790,317,177,002,901,840,454,628,013,741,016,885,703,485,942,408,
220,518,042,764,120,983,085,048,839,990,963,447,725,320,154,102,011,004,016,
540,361,614,372,275,363,003,779,132,870,428,218,026,313,254,576,165,472,899,
269,268,782,770,100,366,719,067,700,921,122,708,210,157,593,194,646,915,154,
836,572,912,314,733,155,281,738,426,971,690,825,401,781,067,156,836,073,464,
215,537,292,061,536,220,725,686,298,254,155,012,683,335,483,564,640,184,103,
757,591,915,810,384,620,161,311,485,054,695,769,736,734,538,454,560,512,475,
656,014,882,301,004,312,568,369,928,793,036,390,465,013,634,021,685,486,124,
041,381,210,872,453,798,190,436,398,747,540,497,177,553,889,854,494,428,373,
430,958,933,640,637,861,807,816,636,070,478,953,830,652,015,934,694,662,143,
522,507,007,210,424,053,524,837,998,254,597,490,498,477,264,364,124,522,592,
695,651,399,570,517,425,247,523,348,290,877,697,690,625,100,465,450,455,912,
934,352,941,856,456,356,321,829,361,127,089,577,290,808,623,469,097,295,273,
668,902,047,746,343,578,364,474,058,626,124,311,989,135,023,575,698,502,678,
248,417,525,804,183,013,754,583,382,033,171,135,380,402,431,080,066,518,065,
078,559,407,499,682,098,467,686,467,795,190,890,641,133,215,396,225,338,117,
197,880,051,163,805,250,280,581,970,147,219,859,612,721,640,140,075,773,254,
235,135,981,021,906,633,051,042,996,013,317,292,266,022,770,157,678,197,810,
789,181,199,247,598,872,929,578,129,612,303,253,428,543,990,667,709,466,079,
989,338,591,780,074,018,315,544,839,992,117,379,902,452,139,461,420,625,667,
679,977,350,198,228,484,260,296,001,373,257,457,116,353,348,532,895,759,471,
910,193,354,382,832,133,410,069,866,211,036,831,710,389,002,900,323,042,154,
527,126,734,667,543,155,040,449,647,315,827,427,148,779,928,205,108,656,752,
100,508,644,418,742,891,940,749,284,454,702,574,241,244,244,820,640,376,287,
052,204,828,060,597,426,209,216,483,471,196,689,314,364,492,737,633,658,258,
816,950,500,008,108,956,043,089,135,292,898,282,214,356,802,542,326,493,650,
085,867,542,030,569,641,730,225,966,121,029,303,098,038,247,526,224,610,969,
885,531,214,185,746,567,964,845,346,389,881,209,542,766,248,665,120,319,837,
076,635,114,782,817,925,238,003,478,309,060,541,756,073,587,508,068,870,143,
729,932,408,623,232,302,110,975,910,923,126,586,958,816,937,362,664,322,534,
714,616,636,336,250,422,226,489,953,373,245,150,403,728,991,875,097,930,166,
204,317,985,729,265,990,266,919,655,933,783,031,573,982,191,964,083,435,478,
400,076,796,456,448,531,125,727,339,729,099,594,147,981,658,180,013,961,224,
836,364,722,701,431,979,855,448,068,919,115,349,769,063,134,008,961,008,539,
939,396,471,722,434,621,530,922,423,470,157,736,311,259,811,075,663,687,075,
801,108,523,326,180,496,332,702,732,116,107,157,765,892,193,600,029,882,165,
549,558,533,806,124,893,281,132,870,758,027,966,468,007,697,175,336,864,417,
408,306,724,137,988,473,220,086,168,400,249,908,668,756,575,838,227,213,014,
711,935,440,435,587,977,213,816,976,153,504,165,369,178,249,209,029,352,483,
679,530,681,175,061,388,568,532,616,094,430,287,281,539,877,417,357,560,862,
603,753,665,978,521,319,220,042,533,081,416,928,640,116,651,291,321,014,203,
094,989,124,389,477,996,004,877,836,302,772,538,524,011,977,217,742,404,178,
178,104,031,128,705,762,594,336,015,455,198,433,919,150,559,084,002,492,587,
250,075,871,963,223,328,837,698,597,376,397,358,055,670,346,330,101,396,972,
724,141,626,921,386,854,863,220,457,980,397,303,340,053,607,612,362,446,091,
613,030,081,509,051,568,908,600,130,993,978,456,181,724,060,164,535,942,007,
320,205,698,035,494,545,458,752,316,575,789,813,385,783,837,977,392,671,990,
111,452,529,320,568,483,980,697,654,992,403,324,539,845,403,875,277,390,892,
272,824,334,883,952,980,536,318,577,444,209,897,401,625,774,775,590,793,026,
349,789,914,372,632,069,816,246,142,412,501,391,779,668,533,315,845,976,125,
255,822,188,615,554,615,324,282,594,221,594,809,643,609,411,947,667,300,562,
180,670,064,435,073,009,762,096,974,113,164,318,230,119,130,786,853,770,551,
874,554,244,867,926,307,306,283,957,710,428,112,758,126,396,601,785,105,232,
895,872,894,948,939,810,723,730,435,832,314,957,259,612,129,684,349,075,511,
542,532,589,189,439,692,525,117,466,375,404,257,507,369,685,518,542,441,762,
658,247,883,006,611,569,728,221,647,756,083,663,514,949,015,632,977,827,225,
843,602,757,138,624,109,028,362,616,598,654,889,385,878,226,190,987,601,103,
146,771,666,061,665,412,802,954,703,460,467,977,254,163,554,960,011,747,830,
139,172,045,441,787,559,937,488,146,840,178,583,342,906,330,576,666,008,247,
944,118,442,677,968,230,953,459,142,920,787,061,567,010,994,395,204,933,258,
386,178,864,026,332,083,617,178,187,393,693,639,941,854,357,113,437,780,962,
957,961,776,393,162,832,088,317,283,214,695,917,634,725,148,850,147,697,187,
806,931,487,771,857,404,479,628,466,061,946,742,985,058,325,242,440,591,728,
885,796,447,898,056,736,237,094,126,726,117,112,211,975,851,763,208,675,983,
010,950,939,244,493,009,001,048,644,315,716,465,446,493,757,813,176,321,924,
221,667,759,649,895,800,149,269,531,164,639,302,893,032,620,879,523,786,270,
334,258,262,497,616,855,280,532,337,164,851,482,941,597,721,021,173,577,431,
752,775,034,915,930,410,047,522,836,510,551,104,829,009,622,243,118,186,969,
789,184,317,232,383,376,269,166,956,340,758,218,760,879,287,047,471,497,144,
301,445,126,386,578,723,750,847,978,930,191,717,890,753,347,487,521,504,451,
215,589,769,979,841,214,515,099,192,100,053,496,656,751,847,974,144,422,769,
207,545,975,217,635,916,842,679,617,039,822,122,236,806,642,981,908,785,824,
568,946,178,433,123,638,364,661,576,393,547,703,788,453,097,447,605,923,795,
660,841,604,579,078,907,100,593,542,687,497,584,145,009,135,417,044,854,434,
002,089,696,047,757,655,028,896,083,733,519,336,972,504,735,460,308,665,944,
939,309,819,179,716,106,591,167,080,641,211,361,685,909,348,923,303,507,458,
747,968,944,109,104,511,561,190,339,832,092,677,791,093,240,044,627,088,730,
528,576,095,874,502,635,779,296,768,663,922,544,591,501,073,964,518,742,060,
839,693,081,769,975,090,563,745,933,465,603,978,094,055,708,360,771,411,476,
396,189,848,910,454,337,838,843,300,199,400,323,368,358,742,453,638,619,997,
663,981,124,185,810,473,507,422,496,954,908,995,579,141,388,310,621,871,336,
989,088,954,668,293,142,836,856,331,527,300,624,831,386,818,099,604,587,862,
913,140,703,253,277,382,023,311,780,259,101,255,148,896,968,771,600,777,168,
323,473,766,248,745,316,595,173,623,189,170,474,427,962,434,689,178,486,609,
047,718,486,330,064,130,329,515,733,859,509,481,203,495,236,924,924,086,427,
829,918,185,622,135,089,593,523,650,245,431,269,375,292,871,792,489,804,872,
263,339,673,438,708,628,671,209,663,295,466,835,294,101,072,355,994,954,827,
167,945,825,726,076,824,567,903,212,801,275,481,193,548,512,791,959,846,962,
219,863,391,000,445,650,963,899,649,034,429,863,412,563,317,894,716,864,854,
773,402,242,879,853,963,008,481,696,228,441,891,181,922,937,348,293,314,021,
324,499,232,762,382,717,758,215,979,043,973,223,665,613,243,420,956,295,288,
678,195,059,852,157,141,785,782,958,144,227,722,418,545,949,622,717,715,420,
176,301,677,900,740,802,179,684,643,190,585,568,371,898,719,703,379,697,866,
234,344,243,480,825,431,642,814,767,940,195,792,357,578,874,999,131,479,821,
529,794,210,815,615,162,149,023,642,532,832,159,918,660,766,252,690,176,392,
690,602,286,768,633,660,002,133,469,673,612,112,899,941,303,122,076,507,119,
839,996,584,707,744,333,155,862,098,356,251,045,170,513,090,621,084,507,422,
199,987,825,250,191,316,468,804,454,230,880,493,508,131,543,325,106,124,465,
948,416,149,481,348,151,577,703,681,203,823,009,082,817,907,190,569,694,243,
667,871,632,732,211,645,842,115,682,325,147,137,639,947,717,523,233,270,661,
139,846,856,223,890,802,211,337,303,515,451,429,185,449,255,089,137,681,833,
161,266,160,600,998,328,328,715,064,125,914,014,649,847,577,992,104,515,769,
010,451,164,702,020,559,473,560,026,602,435,797,034,037,533,430,789,414,111,
229,743,392,655,423,747,293,617,024,770,100,182,783,506,484,850,182,390,919,
702,623,791,716,593,572,518,336,485,497,140,666,237,755,446,570,343,703,289,
131,300,323,016,524,572,780,196,755,651,259,351,266,400,321,514,109,358,886,
892,633,318,379,377,237,114,748,970,672,170,182,511,476,043,862,919,999,776,
394,141,302,584,902,252,616,354,675,396,778,789,243,805,117,482,195,563,758,
445,498,280,511,067,205,783,280,472,769,990,649,901,055,425,256,956,654,436,
960,808,092,678,459,224,313,160,741,154,991,067,537,416,252,163,562,157,902,
677,933,949,858,003,407,587,686,154,010,677,269,357,718,260,764,440,584,663,
442,699,846,359,752,798,738,802,989,550,510,489,986,580,103,887,541,056,726,
786,179,972,136,052,379,512,905,926,859,245,856,714,642,713,345,128,501,775,
802,068,805,647,962,861,540,842,562,650,504,039,892,929,513,167,564,657,001,
873,344,316,261,459,363,925,422,071,976,125,621,418,062,090,179,649,987,357,
544,009,767,233,447,814,199,208,542,642,730,419,258,383,470,360,975,193,566,
669,690,905,008,614,071,183,711,661,975,363,847,781,681,412,154,529,099,337,
323,915,956,519,811,595,780,928,085,331,134,466,650,036,230,125,690,659,425,
230,660,685,775,131,082,217,416,592,908,774,233,207,780,639,844,101,357,990,
702,423,738,377,095,758,356,954,590,914,043,487,540,850,695,512,558,249,323,
111,038,911,675,855,969,769,698,133,815,437,353,894,753,488,594,725,085,678,
972,906,753,595,205,205,241,687,804,414,950,936,496,111,583,241,557,706,734,
434,596,307,721,231,874,847,135,226,621,181,035,987,906,254,912,482,748,274,
615,129,619,999,303,566,818,045,149,232,267,929,419,714,864,454,405,429,933,
269,196,913,088,253,748,510,031,449,365,681,135,211,309,717,176,941,923,693,
790,116,624,635,128,463,281,868,733,184,213,364,663,578,283,570,295,878,541,
878,984,044,644,978,862,355,686,932,896,639,976,871,412,061,342,718,981,992,
655,128,483,810,284,604,746,863,955,409,328,166,288,693,728,010,664,584,092,
114,948,895,261,463,729,075,975,302,974,218,831,409,313,794,774,130,043,517,
747,707,914,397,577,363,493,283,537,172,365,314,449,547,974,803,933,439,838,
323,007,519,568,684,477,635,993,013,400,379,453,827,661,442,446,985,615,507,
824,129,211,443,704,444,309,930,041,254,723,624,732,324,550,181,471,483,053,
060,628,910,492,219,267,601,346,139,657,877,813,028,308,377,585,148,517,551,
266,782,711,518,375,661,367,065,334,130,624,230,408,413,639,350,562,929,107,
538,710,067,880,170,441,589,801,670,454,662,854,303,306,119,144,717,324,325,
096,490,530,629,249,518,698,805,786,532,229,808,987,134,506,536,300,321,505,
219,424,577,009,289,035,931,287,972,293,355,557,262,440,946,342,245,710,432,
419,283,949,894,522,877,137,191,145,279,878,812,727,471,421,020,834,570,033,
150,385,683,992,228,141,198,813,506,650,788,753,218,986,900,572,810,180,924,
714,858,498,185,196,522,457,167,644,050,762,594,407,361,431,121,731,914,153,
231,688,141,677,045,628,470,886,226,291,962,874,719,383,927,320,911,664,909,
834,520,119,495,826,779,868,504,087,687,219,982,159,785,609,694,466,449,816,
508,117,399,071,030,381,849,943,341,767,799,458,467,410,186,964,606,430,459,
395,982,356,671,766,641,183,718,048,860,161,124,470,208,258,629,869,892,316,
425,273,104,232,584,210,894,700,917,535,042,574,698,019,252,135,649,405,379,
874,808,983,247,155,688,869,027,044,112,828,143,341,879,451,439,722,340,917,
917,169,061,450,716,947,639,966,305,599,235,615,838,400,379,361,313,269,071,
524,912,185,141,535,130,723,779,616,117,232,841,825,493,329,519,263,654,749,
697,267,423,483,958,892,249,334,605,792,297,533,220,242,813,121,008,537,814,
160,739,276,135,799,338,999,998,993,192,564,870,120,635,013,678,826,995,157,
233,592,057,110,624,114,226,057,810,706,298,216,562,748,990,741,455,328,889,
280,226,277,009,732,035,227,179,697,654,248,660,276,489,360,751,916,334,476,
487,443,878,792,960,976,579,417,158,601,342,765,484,162,265,261,014,463,508,
664,131,456,191,135,533,793,264,652,604,328,017,139,016,964,783,934,877,786,
531,333,311,011,295,323,901,326,768,982,372,861,657,311,048,442,882,534,434,
509,496,769,277,945,599,459,829,440,847,494,138,575,609,565,917,634,331,511,
979,454,709,125,474,448,619,920,283,783,725,705,948,803,889,433,828,749,527,
547,891,484,805,577,213,740,696,664,143,724,418,925,092,634,401,544,593,318,
256,065,071,144,985,804,321,536,859,332,182,739,590,175,774,015,306,440,211,
921,949,046,435,188,165,595,248,456,270,011,778,708,513,494,980,938,020,595,
850,349,356,578,178,819,924,208,699,985,893,203,897,990,998,799,101,409,718,
851,530,868,586,154,297,657,917,183,660,371,590,984,482,045,958,978,274,211,
283,709,310,079,955,718,192,077,698,641,829,447,954,041,851,706,440,463,308,
137,869,278,543,062,562,207,487,908,735,619,629,439,290,317,834,885,254,752,
015,810,026,147,317,005,866,670,747,500,712,400,588,111,248,529,606,697,965,
322,658,636,128,768,692,990,391,609,773,357,948,851,951,226,569,150,508,302,
922,452,196,901,721,009,817,071,504,672,443,947,943,905,846,605,517,559,188,
577,722,282,833,719,957,200,638,985,878,055,564,674,754,264,555,042,919,996,
453,991,547,424,868,340,757,416,154,543,133,001,897,538,236,470,917,852,980,
605,792,572,119,651,221,171,717,984,587,932,332,225,994,802,531,313,993,190,
168,721,991,871,207,928,196,607,014,827,429,173,218,070,602,761,583,200,223,
079,138,455,929,124,395,428,743,600,437,224,134,663,508,343,381,279,258,052,
193,782,237,294,247,476,830,030,258,588,791,203,736,397,303,454,107,217,246,
542,282,648,644,752,022,856,227,930,569,832,434,793,401,221,141,992,155,626,
579,900,513,267,250,379,603,784,846,366,973,210,651,230,817,395,387,016,104,
151,477,327,269,474,253,056,054,049,321,258,113,926,581,632,187,850,697,817,
813,735,229,290,017,525,202,486,785,447,616,345,949,064,144,500,816,234,511,
651,278,643,483,164,357,459,295,922,889,833,143,010,951,113,646,444,378,447,
094,558,322,513,272,370,077,749,894,701,645,929,828,993,146,198,269,734,127,
599,268,026,874,836,776,339,516,393,572,192,608,986,412,395,323,402,726,329,
291,133,368,340,006,644,386,848,914,292,325,071,836,421,926,491,615,276,552,
515,984,386,642,109,728,973,589,271,216,897,391,775,458,226,260,902,861,526,
720,834,357,038,039,806,200,743,182,922,437,345,997,675,181,413,751,539,995,
704,418,537,029,778,284,376,103,528,794,278,143,780,264,738,112,191,497,039,
121,857,477,776,104,615,561,672,156,870,183,949,175,073,095,065,499,949,566,
635,895,924,443,607,243,167,113,055,063,212,718,842,951,637,076,998,582,686,
732,247,414,488,412,263,362,340,238,611,249,782,093,481,482,802,457,823,909,
449,321,557,763,400,936,363,676,803,514,429,298,541,701,812,625,631,825,432,
097,006,330,618,303,316,605,478,184,173,487,214,651,372,416,732,843,516,183,
383,210,074,074,417,120,326,740,408,686,967,919,903,558,427,315,573,008,000,
783,497,975,545,938,856,588,721,892,541,384,603,159,918,280,565,122,964,152,
559,693,600,177,592,232,596,658,822,989,999,671,514,738,279,111,663,509,086,
996,070,288,829,081,449,568,815,364,313,994,626,015,769,253,295,724,394,511,
318,575,087,852,802,079,535,790,945,837,925,628,831,502,785,351,542,886,496,
094,986,330,341,616,607,812,312,235,292,027,330,782,887,268,585,232,089,008,
878,668,785,837,268,461,457,168,597,961,326,423,692,513,086,097,242,068,377,
049,238,542,562,490,292,762,639,997,022,413,000,243,010,952,278,510,899,752,
787,239,732,545,088,114,503,108,862,504,321,758,925,264,237,381,980,839,635,
412,417,245,331,349,029,927,366,831,871,168,005,783,796,251,271,656,510,502,
863,059,414,032,260,067,850,255,597,287,527,905,759,748,458,383,583,734,331,
145,481,754,516,058,282,616,515,725,811,267,850,485,213,735,742,017,062,929,
896,638,028,641,564,388,514,299,816,760,930,765,791,026,360,121,469,588,542,
602,926,657,099,842,416,451,964,290,754,203,825,882,984,663,473,663,879,104,
306,575,007,652,535,339,812,057,846,585,064,988,983,388,448,837,390,994,254,
168,804,146,814,573,777,249,243,704,873,697,697,717,693,707,483,796,034,425,
559,993,350,243,403,406,240,768,435,034,243,067,222,815,146,738,052,332,597,
903,652,768,941,535,070,862,519,981,528,669,629,653,679,479,124,039,300,181,
989,143,172,902,051,616,213,534,532,506,667,633,481,532,308,320,389,967,777,
336,845,576,474,444,698,543,498,509,839,532,070,526,648,478,457,193,467,188,
647,802,237,841,665,553,584,166,190,362,264,221,867,906,755,498,328,293,079,
711,074,504,426,335,838,862,414,531,704,689,181,149,268,402,729,037,709,606,
691,779,203,503,330,573,513,299,103,162,423,614,388,215,724,332,707,628,118,
443,215,806,693,938,780,660,578,661,605,191,320,553,598,917,615,214,171,869,
343,663,891,673,281,457,735,106,352,799,303,639,950,318,958,301,836,947,723,
759,138,444,044,339,081,697,130,945,814,995,069,383,768,260,664,796,112,954,
442,578,770,739,945,596,374,339,012,176,034,529,648,288,477,887,914,853,729,
718,483,460,653,149,618,110,445,546,875,493,926,337,904,282,136,273,232,619,
884,753,287,026,916,238,834,538,246,707,521,964,534,765,162,707,457,066,983,
990,151,169,692,376,947,866,407,553,838,648,969,959,080,958,354,789,896,249,
191,251,731,903,584,260,651,766,153,691,312,949,995,637,994,712,996,235,473,
154,667,326,188,770,156,166,252,103,609,468,230,398,720,521,493,595,417,052,
227,846,243,210,875,441,839,481,339,419,720,630,412,033,217,133,469,500,530,
728,874,989,176,150,764,193,932,919,774,474,926,064,607,530,586,676,121,117,
706,151,626,869,182,873,921,196,710,154,549,421,226,567,429,791,014,808,535,
092,012,984,161,390,290,578,481,358,325,551,449,245,123,014,381,507,183,529,
471,324,646,772,670,719,874,449,306,421,685,715,263,245,681,265,985,966,329,
065,577,998,363,101,057,384,104,623,329,736,475,428,915,723,780,978,538,120,
702,083,478,375,614,781,047,903,337,443,271,178,137,761,348,232,704,703,318,
709,738,458,978,551,525,246,496,638,233,550,726,583,087,701,462,625,673,294,
904,579,834,566,325,350,063,969,996,225,291,841,055,091,002,271,257,032,872,
924,800,728,253,012,517,175,873,613,228,358,097,324,880,842,658,818,771,840,
738,395,910,454,463,585,203,584,270,207,099,290,419,086,252,460,584,053,268,
641,709,216,204,572,349,285,487,019,568,358,567,328,662,922,580,134,411,937,
892,624,394,906,169,432,143,123,016,123,800,174,057,565,655,602,006,244,208,
562,633,897,181,128,152,908,981,680,175,281,629,039,099,553,738,315,398,475,
687,680,607,142,100,197,365,532,888,306,313,874,286,428,935,985,494,382,464,
104,274,743,671,180,432,355,037,750,497,349,914,494,432,943,107,399,442,403,
573,907,845,544,324,752,921,948,338,354,797,596,602,006,066,151,979,546,727,
593,390,904,631,422,991,194,475,006,122,126,210,127,351,986,240,176,841,470,
577,254,069,040,235,023,966,226,670,915,676,520,866,203,655,046,511,457,143,
214,142,975,198,730,661,914,377,419,590,792,349,475,425,459,473,673,924,438,
291,521,882,540,627,210,919,993,525,735,628,389,016,631,075,345,943,158,158,
638,235,722,582,942,002,733,252,935,731,222,251,472,755,207,972,255,614,254,
172,668,605,792,635,795,223,630,212,251,532,212,014,860,101,976,109,652,094,
400,001,327,841,004,703,133,949,320,834,325,297,942,503,628,867,643,601,735,
019,271,492,256,240,011,841,656,371,612,396,891,469,211,447,993,139,876,511,
329,430,706,174,488,034,885,081,959,651,627,491,438,235,490,706,006,889,984,
109,732,277,433,217,832,682,873,660,730,600,628,583,695,846,587,591,207,173,
828,776,905,593,381,587,969,744,023,463,217,469,727,946,530,835,102,192,755,
092,407,041,561,530,923,549,368,400,635,489,959,357,802,847,991,800,557,171,
841,494,076,437,221,754,371,059,813,279,472,924,642,270,651,193,479,484,479,
539,444,346,884,139,831,087,323,657,745,228,306,044,510,326,528,871,446,084,
117,843,730,443,458,916,076,864,041,254,762,078,833,528,487,416,731,676,523,
652,036,704,283,809,341,096,745,662,444,382,904,420,761,170,288,761,743,851,
228,184,261,959,393,768,396,906,259,227,568,135,957,272,557,133,424,795,676,
698,010,475,121,610,375,042,407,977,048,604,694,151,201,160,598,732,732,111,
810,548,143,638,985,877,211,903,817,138,941,257,694,578,972,183,733,665,778,
271,269,704,163,877,901,089,099,372,188,989,376,156,653,770,819,626,635,413,
315,619,025,031,440,152,581,646,144,647,031,466,339,996,698,677,665,577,175,
049,888,041,920,926,272,661,122,634,978,891,602,825,038,795,310,934,034,879,
063,048,139,444,596,635,486,397,963,910,846,241,405,510,902,319,387,388,951,
703,272,006,289,590,916,263,459,377,904,039,124,925,376,896,764,373,743,880,
543,065,925,766,580,395,989,123,803,847,587,101,342,505,836,867,677,856,247,
376,149,152,314,314,341,029,010,097,002,216,635,230,577,194,622,124,634,936,
510,932,867,125,568,969,481,016,153,847,576,726,173,950,759,160,242,435,245,
002,308,656,369,857,838,499,155,029,730,784,664,221,418,086,596,288,764,437,
259,684,161,900,701,836,122,153,300,572,507,970,454,349,778,715,837,531,309,
327,656,898,140,034,738,067,073,620,179,532,160,967,620,168,783,159,501,101,
267,323,399,181,022,968,782,369,675,931,122,671,095,293,624,257,564,218,408,
377,955,259,310,618,434,694,079,215,474,918,712,765,250,093,181,850,173,047,
366,108,353,863,887,259,858,632,582,781,980,703,980,069,261,973,644,586,586,
073,451,395,105,881,816,836,397,694,809,578,090,231,028,910,316,719,615,272,
383,631,569,194,018,195,272,342,938,325,624,635,748,736,396,770,355,348,347,
446,676,195,389,801,769,538,489,715,899,169,022,964,268,247,011,517,839,231,
209,651,068,876,723,913,763,933,624,402,955,994,616,697,039,714,708,403,581,
354,430,261,182,699,419,075,120,995,681,271,558,272,739,588,406,820,617,024,
356,194,901,537,796,126,160,279,939,624,354,233,475,045,069,889,315,226,797,
647,615,973,187,047,355,509,686,053,382,021,169,805,687,324,769,790,203,599,
839,628,139,521,208,057,609,542,545,052,239,291,808,590,797,187,252,733,173,
116,646,521,212,494,762,373,014,499,267,690,540,465,305,592,292,659,814,125,
194,687,025,908,227,277,911,634,589,080,447,665,288,568,304,388,991,591,219,
982,899,804,023,290,832,457,201,731,566,855,742,153,194,684,331,976,091,389,
812,274,288,642,418,504,876,837,505,603,411,279,607,038,531,610,620,300,331,
955,620,927,965,290,997,689,533,631,626,725,029,801,806,011,392,043,026,794,
542,053,173,152,383,737,318,273,937,092,513,121,561,203,895,008,534,408,445,
838,173,214,580,901,372,805,070,350,380,834,012,736,330,925,656,499,932,493,
027,368,325,763,446,745,078,149,066,844,481,869,067,215,718,713,284,458,827,
655,425,957,539,068,098,185,897,958,893,293,235,600,201,871,471,399,056,356,
238,643,303,811,260,342,663,074,276,281,268,114,628,471,821,084,857,963,556,
952,093,501,561,913,489,935,455,569,423,450,149,836,539,990,533,833,487,890,
157,552,108,040,472,347,727,781,796,907,313,736,741,471,192,457,843,754,296,
254,248,104,946,306,492,795,818,400,740,491,505,056,007,967,688,066,486,826,
562,241,355,172,007,462,429,740,938,387,337,605,446,830,940,157,891,418,266,
962,016,917,509,186,507,578,758,221,920,100,340,000,214,512,443,642,007,060,
712,328,831,056,293,520,468,058,111,966,238,480,927,165,202,010,716,047,813,
695,322,666,343,306,446,709,072,120,463,224,344,330,859,877,142,699,656,204,
148,486,054,064,986,687,047,804,998,398,418,798,646,373,289,359,457,923,192,
726,330,197,233,812,401,314,390,969,421,914,845,525,288,964,213,263,996,402,
888,203,531,906,117,701,233,756,484,668,081,957,469,741,748,649,040,119,083,
881,759,130,519,928,908,066,967,728,905,999,809,198,658,602,574,279,570,633,
299,521,334,724,767,925,302,744,314,199,437,525,103,073,374,313,542,061,201,
396,919,419,937,880,937,932,091,979,902,835,437,211,604,615,901,459,379,457,
170,271,405,076,753,954,062,706,650,848,714,294,110,953,894,945,812,825,404,
244,300,240,090,748,962,136,287,211,092,384,784,569,784,763,778,807,980,775,
141,177,788,598,984,981,646,813,414,612,615,992,953,485,352,028,080,828,742,
961,938,842,427,151,108,380,803,880,735,574,424,937,798,088,256,676,499,865,
609,981,928,737,056,280,570,293,227,471,385,704,957,300,911,940,404,961,090,
061,340,382,639,358,132,853,207,704,843,814,714,471,078,276,365,524,827,737,
133,801,179,187,218,832,821,812,928,849,106,264,494,616,653,512,893,278,596,
223,280,454,012,167,129,233,859,106,006,084,529,764,287,180,767,148,012,440,
183,399,700,914,045,764,835,683,938,388,215,996,399,238,213,248,841,652,520,
257,558,165,965,261,277,668,096,572,465,302,369,286,395,839,722,289,560,685,
875,532,648,841,903,639,365,817,825,482,063,967,293,733,193,236,065,963,181,
846,169,904,164,695,318,638,326,477,875,983,853,235,057,186,154,222,310,676,
337,547,607,017,087,644,433,037,003,721,126,890,889,274,314,349,155,421,791,
873,682,480,354,770,805,247,805,324,227,747,856,820,899,064,449,656,716,040,
555,118,050,787,138,218,952,636,935,170,730,849,674,592,721,558,709,243,218,
214,782,182,221,812,958,673,516,904,196,860,099,125,623,879,075,833,472,041,
636,162,628,649,580,035,541,753,013,144,641,624,926,848,569,696,162,972,456,
113,395,699,470,704,265,051,530,133,129,240,411,784,049,435,405,961,640,516,
889,180,749,748,773,049,937,488,855,527,007,590,909,819,388,338,942,111,524,
997,576,936,923,958,413,337,521,058,258,866,252,385,912,315,039,754,373,404,
403,633,235,330,011,518,412,170,056,198,463,425,463,397,995,169,800,080,703,
785,163,524,412,902,428,889,236,073,376,064,616,050,647,765,626,093,226,238,
105,207,873,829,630,469,605,117,802,790,852,658,148,594,853,272,032,354,524,
048,194,330,315,407,671,419,083,543,360,033,305,742,802,565,585,338,060,247,
261,040,519,487,881,239,194,545,813,207,695,913,503,991,303,799,592,959,240,
296,824,932,154,701,704,123,344,936,031,220,329,578,068,019,627,026,141,370,
017,176,259,068,898,543,546,237,514,248,583,921,145,363,492,704,169,831,159,
793,353,823,805,395,966,004,974,763,561,281,994,657,671,884,944,861,838,055,
884,954,994,342,565,182,924,281,708,911,755,799,365,095,759,056,546,660,193,
781,770,579,173,513,748,086,517,692,792,129,414,143,392,457,519,464,747,976,
665,078,405,983,250,962,872,131,485,529,510,771,288,421,553,515,239,453,797,
348,352,508,107,303,187,682,000,776,948,684,665,115,911,098,964,993,258,612,
248,486,490,656,779,579,112,372,316,731,313,492,288,860,802,124,177,264,328,
976,221,386,481,155,734,949,640,113,549,429,241,650,322,220,512,855,826,417,
347,391,342,053,983,036,673,341,867,709,695,955,947,736,835,165,198,326,402,
048,180,850,002,996,480,808,726,622,861,009,554,010,537,994,298,690,820,335,
587,511,469,409,664,140,432,280,037,198,626,528,046,931,983,966,178,554,258,
191,384,339,572,812,803,496,919,295,767,747,162,298,919,782,599,378,611,476,
264,121,690,431,690,209,197,850,981,096,494,461,654,012,079,921,581,536,217,
542,314,128,641,723,547,824,744,523,677,351,858,741,629,073,350,259,657,460,
858,544,438,814,502,174,158,823,380,263,759,207,914,288,712,509,439,283,604,
221,997,680,566,515,695,517,870,252,372,602,040,868,514,609,052,678,873,126,
508,671,698,500,279,312,766,998,153,561,707,560,697,048,111,562,743,246,231,
699,391,858,308,190,855,663,647,709,924,956,069,951,144,334,417,470,418,415,
327,617,190,847,139,398,763,089,012,727,177,393,684,983,466,944,215,540,226,
552,373,966,347,941,683,736,324,163,898,450,980,981,729,821,417,453,534,217,
923,851,995,493,941,399,824,218,288,432,183,217,307,733,563,703,388,763,303,
647,640,289,684,174,631,842,975,086,690,288,076,270,042,630,239,983,588,226,
061,622,852,910,131,038,740,804,117,838,670,481,144,678,935,524,857,195,120,
910,857,693,007,222,509,810,385,693,212,381,415,307,562,234,928,861,856,642,
540,624,593,119,884,762,213,545,523,428,884,288,629,517,012,406,338,621,302,
401,092,721,527,215,699,212,852,453,477,549,991,181,224,185,722,613,158,841,
734,415,040,269,896,771,206,446,502,970,670,098,243,048,119,851,870,353,531,
204,583,245,274,011,651,605,036,790,028,094,244,722,275,467,816,955,360,103,
379,837,307,239,093,246,816,594,063,453,413,902,552,361,977,891,893,433,379,
326,650,091,232,096,132,493,838,270,894,462,382,296,250,679,356,828,518,289,
159,842,693,427,678,862,627,420,778,882,181,265,981,744,033,201,495,908,198,
957,775,455,911,568,150,335,671,744,933,600,542,759,775,577,385,717,311,486,
147,260,915,343,554,878,492,821,246,694,647,112,204,829,348,730,015,463,677,
781,939,060,332,442,625,849,112,923,566,353,905,533,298,001,142,241,743,741,
579,933,331,430,869,567,833,392,175,073,800,034,269,593,497,908,813,277,316,
787,829,446,810,256,033,086,727,850,216,013,189,199,543,931,617,292,199,766,
997,920,002,394,044,976,997,710,740,187,630,572,902,061,382,619,660,918,049,
290,909,458,581,043,061,301,914,366,064,141,267,872,570,002,537,505,681,661,
556,951,817,962,979,220,957,371,492,897,524,285,480,178,214,318,665,717,670,
213,912,455,816,898,722,292,775,658,601,102,102,988,293,109,121,346,668,469,
227,577,631,239,719,801,490,015,661,816,371,889,012,493,735,310,728,822,758,
955,897,132,395,307,614,432,227,785,536,016,748,439,054,459,070,810,553,238,
462,019,932,302,328,175,518,837,605,812,902,068,185,848,506,761,309,577,402,
087,823,008,519,756,344,945,608,997,051,573,844,048,926,856,051,070,532,417,
398,053,057,189,264,269,849,744,384,960,606,269,804,495,147,557,163,798,244,
143,497,710,411,135,642,738,085,774,786,568,570,210,747,627,958,630,292,252,
076,557,839,577,397,750,712,658,506,332,540,465,726,842,536,954,933,822,293,
290,418,962,252,093,063,554,000,171,742,814,674,384,937,099,302,757,582,490,
869,055,292,008,079,909,755,521,147,843,613,139,402,547,564,404,691,646,114,
140,752,803,168,372,808,522,413,443,636,425,560,758,125,869,554,423,605,867,
405,822,600,110,522,685,762,622,090,981,828,273,659,752,240,747,896,152,417,
555,221,564,400,672,089,749,236,780,981,762,556,178,666,079,508,598,346,067,
763,253,497,935,243,700,747,267,169,083,841,539,551,710,499,257,689,840,868,
309,632,244,240,894,898,343,066,786,652,438,313,968,749,560,987,151,349,106,
356,167,409,119,229,240,607,421,893,774,999,858,053,085,044,119,403,539,678,
425,520,149,155,631,151,970,899,494,766,983,657,595,863,534,338,719,931,583,
673,592,682,007,228,766,688,961,453,069,433,975,015,250,931,130,857,912,509,
114,179,140,329,617,232,455,658,981,952,639,476,409,103,120,636,312,708,319,
941,957,736,507,161,493,177,427,681,731,337,613,607,364,767,832,130,695,705,
455,528,666,951,342,806,889,105,750,960,585,403,674,531,789,464,784,819,006,
652,337,744,776,856,313,629,626,596,675,120,941,093,597,032,010,189,625,869,
207,922,386,390,374,861,756,674,061,173,331,612,141,003,731,953,946,638,681,
467,668,299,348,552,662,363,150,380,289,212,530,297,764,463,446,144,191,708,
952,052,094,330,168,075,367,812,268,452,114,599,794,187,135,866,558,480,845,
563,740,114,532,449,371,922,627,579,443,409,305,771,192,262,956,104,409,360,
409,029,375,033,315,374,976,873,897,988,891,320,309,776,699,825,930,262,477,
369,587,261,639,652,196,016,887,424,432,434,394,679,504,543,136,847,761,879,
704,079,136,291,439,635,496,020,056,549,949,479,097,377,366,224,206,736,723,
284,953,501,409,091,745,321,338,309,101,152,692,746,089,282,147,964,184,178,
396,713,170,236,954,502,635,240,796,289,374,353,886,442,944,835,213,639,488,
942,799,360,384,364,240,341,492,754,253,155,262,352,053,638,484,975,554,542,
806,901,687,045,700,800,945,291,931,820,829,476,508,754,558,661,264,986,500,
902,206,391,856,988,035,360,812,759,448,523,924,131,959,383,797,575,993,184,
047,311,330,592,892,660,233,860,698,842,737,425,011,801,064,792,719,815,629,
177,080,748,356,564,198,682,160,932,844,385,759,179,698,486,271,368,635,381,
589,450,988,407,639,066,646,741,297,974,513,210,505,028,504,673,760,903,537,
942,676,330,607,451,135,929,890,675,135,219,702,695,048,206,424,739,715,697,
353,494,061,949,386,321,450,699,427,182,052,673,696,964,987,165,040,551,222,
955,649,078,904,907,790,521,377,087,652,105,358,414,353,870,419,237,160,037,
495,683,374,737,429,576,998,970,631,993,188,871,648,399,001,988,422,651,872,
021,692,726,160,644,745,523,422,924,892,353,028,517,432,655,373,179,298,119,
655,168,137,500,611,422,429,204,509,343,049,594,776,809,876,192,987,362,674,
573,589,130,440,900,899,658,945,977,980,397,954,651,469,751,631,304,954,359,
708,260,675,388,321,314,504,678,301,416,732,538,083,747,454,985,116,329,298,
516,393,592,275,345,306,707,594,702,912,747,495,824,704,561,581,786,760,157,
089,565,033,869,536,492,216,091,455,866,588,557,842,385,971,175,733,459,042,
609,550,324,580,810,532,192,202,225,488,268,209,605,026,550,131,840,902,051,
058,705,427,765,373,835,807,036,662,601,951,307,114,441,459,939,965,046,133,
237,714,400,307,107,923,574,160,604,550,310,862,667,957,486,124,813,626,672,
622,800,594,927,876,709,659,183,243,110,863,780,699,675,597,556,572,791,698,
698,512,580,496,025,624,155,180,097,216,456,712,078,685,100,052,253,698,795,
372,337,914,658,441,223,047,390,440,792,696,618,286,912,220,977,104,742,842,
123,390,302,183,476,072,561,238,084,605,731,151,354,461,199,833,456,539,992,
355,950,581,727,836,918,068,119,527,496,899,334,578,968,355,301,723,426,556,
903,563,668,529,666,674,828,243,973,651,875,920,193,147,887,653,677,188,445,
264,653,731,854,964,219,053,683,465,248,052,960,909,628,044,593,548,226,063,
110,530,996,549,363,240,762,782,324,461,240,590,411,763,001,575,723,299,145,
763,310,520,975,429,667,026,352,411,293,750,180,012,288,223,949,786,263,772,
884,440,402,228,465,790,986,920,297,354,156,270,591,362,504,520,618,148,576,
364,411,214,137,243,304,021,271,722,432,999,372,735,844,629,702,365,222,079,
298,432,613,046,498,361,182,837,694,800,730,442,367,381,863,572,756,036,858,
196,215,916,788,945,170,191,626,208,454,439,943,821,713,887,222,029,712,569,
622,201,358,683,695,437,570,388,322,807,343,141,651,732,747,373,804,750,431,
431,023,839,870,882,430,061,252,942,541,987,252,439,481,542,194,963,717,134,
059,010,619,098,551,830,475,077,835,328,190,081,592,584,854,713,231,304,196,
660,153,647,035,322,690,184,595,631,432,189,160,788,623,383,378,777,393,268,
762,514,595,400,866,941,652,471,099,383,556,683,545,849,818,589,388,188,606,
076,416,516,731,109,474,862,043,365,396,850,774,957,102,957,737,661,227,803,
330,107,114,363,680,943,680,695,577,297,863,052,761,096,553,672,362,253,672,
268,642,151,770,384,508,405,140,878,782,925,515,879,128,131,454,748,525,418,
649,572,846,017,039,423,736,557,921,848,409,396,289,763,712,466,724,910,917,
146,883,064,064,120,507,343,244,928,769,925,450,496,202,958,001,777,037,329,
268,868,647,617,887,146,453,851,618,734,975,808,908,072,243,758,213,379,500,
957,512,496,050,250,131,077,975,833,439,248,360,366,078,905,212,988,594,066,
029,096,023,281,920,038,995,475,129,325,352,361,126,217,382,382,573,577,715,
981,084,373,390,822,502,691,680,596,373,601,008,028,100,671,542,174,988,511,
039,634,563,009,813,724,071,895,021,091,019,507,866,389,728,371,629,489,493,
714,859,754,808,129,836,981,261,624,147,165,346,062,606,085,831,910,498,562,
489,389,328,817,400,733,934,532,592,516,166,164,215,233,505,172,824,887,783,
499,632,340,183,068,342,238,509,528,353,878,948,659,844,854,374,258,233,890,
296,439,196,364,607,447,901,356,404,420,864,672,108,516,970,945,925,070,942,
755,807,432,533,543,170,103,172,675,142,500,515,297,847,954,459,926,757,603,
636,914,558,232,020,568,418,674,099,013,630,882,508,517,070,441,702,925,749,
177,968,348,165,920,245,923,828,089,450,536,196,627,139,107,297,467,935,843,
773,863,256,940,808,226,405,567,521,854,079,252,469,072,582,061,337,134,191,
838,509,948,380,134,462,372,693,705,927,006,610,947,800,727,834,655,593,933,
021,533,148,898,211,277,259,338,844,512,892,025,486,277,734,353,414,485,592,
012,476,649,751,309,223,927,345,632,978,317,502,341,766,559,499,340,127,806,
501,137,236,454,109,621,383,881,335,158,787,579,919,567,986,736,601,455,540,
269,303,468,546,925,158,367,919,863,286,287,628,058,159,137,858,378,370,186,
438,889,030,682,127,570,862,745,381,460,587,112,839,894,477,559,505,909,207,
784,627,908,685,467,426,433,550,976,140,268,313,811,482,762,713,052,686,308,
584,764,442,441,093,638,987,570,047,581,609,278,538,826,898,530,684,216,544,
244,809,254,192,468,890,740,495,704,855,474,068,656,841,375,586,779,205,933,
624,382,332,749,458,507,853,169,462,811,329,823,619,658,362,555,549,063,954,
359,536,233,821,185,513,741,021,471,968,644,916,227,659,010,208,108,060,897,
756,650,221,067,861,717,134,281,314,532,117,783,922,599,709,282,202,230,885,
294,233,888,870,614,554,421,963,831,836,795,295,075,135,146,530,925,033,550,
644,314,933,913,696,492,364,982,027,468,865,914,968,480,471,737,820,086,999,
669,295,926,328,627,190,611,959,369,729,018,013,174,159,185,764,828,368,805,
087,294,738,699,675,896,206,745,896,863,586,736,682,885,239,026,213,382,338,
706,954,009,587,281,484,613,243,764,378,209,445,701,719,955,062,784,223,361,
066,891,652,017,886,886,890,507,968,322,654,706,814,670,741,973,073,409,698,
523,385,938,816,692,584,966,905,407,313,504,269,784,617,685,947,884,528,882,
536,425,711,144,632,768,032,556,651,917,223,652,294,536,093,615,320,747,969,
053,274,513,366,884,250,902,199,448,540,400,937,757,849,645,854,774,172,834,
731,603,722,694,166,711,705,416,872,977,055,670,046,121,677,519,295,165,132,
510,189,114,405,800,598,416,227,652,231,515,664,121,730,855,772,092,514,956,
741,455,928,938,350,279,493,741,132,402,284,485,983,418,122,284,483,630,325,
845,173,969,603,686,696,579,631,946,550,595,090,365,552,398,860,801,644,396,
067,269,495,631,587,139,694,558,665,616,603,193,015,680,199,930,053,288,670,
578,748,503,173,508,915,430,961,379,840,423,087,382,707,677,413,210,707,616,
996,671,068,348,600,043,977,697,270,837,762,915,159,425,428,892,619,417,165,
459,139,778,715,707,813,521,931,122,605,319,280,881,465,018,656,662,195,399,
549,155,240,314,609,097,856,403,722,644,413,175,095,246,968,386,793,850,182,
969,421,949,655,308,275,683,491,738,525,058,755,824,699,153,654,747,400,890,
986,747,326,756,865,394,736,006,009,791,702,541,574,375,208,972,408,487,897,
066,621,573,072,816,348,909,074,094,576,426,136,783,478,785,779,571,509,307,
200,954,581,467,268,107,326,498,286,490,440,353,290,154,803,346,913,652,393,
091,988,578,873,191,049,561,040,206,842,413,820,121,888,904,712,108,566,213,
189,624,892,143,039,096,880,787,984,483,681,698,744,605,778,476,585,603,838,
503,401,164,281,802,141,064,016,213,443,859,008,146,340,903,401,553,046,456,
477,653,741,904,664,750,646,309,543,967,388,676,755,167,014,930,389,083,491,
168,885,344,028,745,137,752,481,168,593,234,455,800,168,151,476,013,882,174,
971,093,429,932,850,066,532,333,496,203,677,222,260,013,422,535,427,078,466,
801,968,521,228,834,104,688,862,740,722,814,743,356,076,586,839,291,465,611,
344,819,004,153,610,941,507,869,332,336,310,532,636,237,476,217,705,064,907,
121,104,209,334,364,316,160,202,579,423,711,956,400,649,037,359,394,169,563,
643,892,564,626,952,588,344,455,100,435,065,880,157,722,431,440,151,871,271,
472,793,489,933,148,871,366,704,582,021,627,023,450,664,957,238,553,923,185,
968,938,522,632,582,156,638,553,586,769,713,574,024,761,737,307,959,176,170,
614,789,030,649,292,106,355,163,300,718,126,991,468,053,592,491,419,887,736,
769,182,683,565,281,123,438,733,413,952,411,023,991,438,383,247,414,203,552,
206,929,044,899,075,061,640,587,448,601,672,190,829,432,509,328,459,203,919,
649,277,873,848,297,560,646,307,406,559,382,874,154,461,801,773,572,794,364,
435,076,768,524,665,273,323,104,271,459,033,310,609,063,993,013,654,793,445,
493,213,593,466,279,591,673,131,698,396,360,554,696,540,837,082,564,307,634,
756,522,486,908,383,994,536,752,757,860,474,697,852,055,712,761,844,449,325,
259,023,571,453,185,764,186,690,614,638,235,857,254,657,261,734,602,063,342,
124,464,665,514,139,166,685,609,910,740,808,209,646,015,436,241,411,165,641,
571,204,285,091,763,584,829,812,608,645,497,540,150,164,877,353,804,310,820,
002,899,669,825,826,095,017,044,960,061,155,429,845,181,516,493,576,565,735,
749,822,254,828,604,398,319,595,052,664,909,987,714,866,181,738,450,587,295,
555,705,340,897,927,941,289,248,560,279,077,920,690,772,776,534,409,476,813,
231,147,220,438,884,862,417,853,638,258,157,075,174,770,475,732,468,087,900,
427,008,430,512,355,559,155,391,492,001,511,551,384,802,082,023,927,100,550,
353,860,615,930,580,038,456,810,084,177,475,279,360,903,410,671,062,875,314,
534,780,176,324,120,976,620,115,912,000,125,290,325,455,655,068,025,872,963,
944,338,660,840,205,870,295,641,770,948,246,054,442,102,825,207,642,271,738,
276,718,881,231,883,672,147,149,135,594,428,573,340,839,405,404,664,652,823,
271,284,638,267,238,642,955,063,536,853,258,663,695,450,319,450,542,649,580,
072,523,935,745,723,331,433,451,113,498,512,293,804,854,873,647,926,009,807,
052,635,365,447,067,478,799,025,454,414,794,897,300,831,935,206,829,398,084,
892,882,893,095,429,876,833,033,014,473,808,622,340,859,907,565,137,107,684,
009,966,314,489,901,277,270,002,773,450,433,787,479,477,369,133,010,828,789,
635,851,202,934,603,827,099,111,084,169,785,041,477,339,689,745,767,846,861,
783,455,356,835,293,068,811,668,256,158,980,984,079,026,131,200,106,601,996,
049,431,860,532,238,395,379,281,527,610,025,274,254,979,050,841,055,239,474,
605,103,989,911,014,313,481,175,195,108,900,630,240,821,905,679,319,957,082,
434,930,539,520,497,143,387,189,504,894,466,855,791,207,503,246,605,578,244,
569,330,153,992,773,765,499,367,337,513,633,370,394,558,260,510,217,190,570,
068,812,345,784,834,458,404,821,981,792,888,249,675,292,505,013,606,205,028,
982,157,044,175,667,316,502,097,962,490,192,697,357,205,336,669,920,403,497,
262,431,854,088,389,559,018,191,598,053,585,594,860,039,494,084,960,974,610,
374,168,294,599,137,720,132,203,256,809,195,120,709,623,426,583,973,940,940,
807,712,564,650,640,583,033,579,709,387,290,602,348,734,768,969,042,400,363,
012,069,809,088,765,702,358,453,282,043,651,134,185,699,054,967,394,078,589,
082,823,928,452,684,211,724,729,724,733,288,822,595,928,992,714,475,168,718,
562,135,960,783,143,113,100,835,346,444,185,265,159,572,498,714,456,355,039,
441,607,359,963,959,376,917,059,724,696,436,617,478,900,145,682,729,828,538,
209,104,803,980,411,710,827,027,778,981,830,531,937,515,393,983,251,551,353,
472,081,696,286,300,957,369,708,341,172,575,036,202,019,736,885,584,094,150,
794,659,105,333,126,632,072,174,410,325,776,712,766,961,286,479,799,250,584,
603,618,213,073,976,772,616,601,972,927,100,163,727,589,101,384,726,104,625,
208,595,300,100,308,650,873,758,502,448,910,639,501,332,631,075,405,780,991,
257,623,575,616,670,163,637,186,828,459,465,585,731,052,174,030,947,178,504,
089,056,334,033,085,297,710,748,530,777,790,648,078,843,002,878,393,796,327,
805,801,019,490,520,172,303,772,689,368,450,769,137,810,263,374,643,606,704,
386,042,238,470,864,178,527,362,073,635,471,787,166,085,966,089,571,435,148,
102,416,620,068,793,171,255,037,464,895,434,664,184,161,641,592,662,928,643,
339,147,157,463,957,913,823,630,449,457,283,777,701,454,150,992,131,369,379,
320,899,624,213,443,902,971,853,666,729,428,282,240,256,382,914,882,043,626,
436,402,877,335,740,972,013,933,486,506,175,983,574,357,606,079,036,141,837,
597,269,061,730,216,345,073,548,652,401,269,725,517,685,533,103,260,157,993,
686,137,439,707,930,782,229,219,439,126,829,674,067,213,404,311,480,288,678,
171,443,051,683,494,906,332,719,819,308,175,235,534,286,288,977,497,021,275,
116,076,429,691,365,296,098,055,983,013,112,843,816,146,192,207,100,700,660,
632,276,706,486,821,663,061,849,724,537,282,640,469,542,702,477,843,595,993,
494,854,672,862,839,771,965,488,311,555,024,354,007,601,167,604,716,128,510,
256,463,941,097,974,768,520,142,915,242,395,879,601,825,404,840,434,638,921,
408,115,171,661,369,550,825,564,774,145,126,647,065,457,213,556,189,971,348,
451,417,716,576,439,576,518,909,247,415,597,100,430,125,923,291,742,388,401,
066,095,793,893,809,301,279,787,014,613,797,768,103,618,998,536,829,278,578,
224,276,458,962,666,043,426,044,800,792,662,901,023,066,994,918,065,524,124,
425,373,616,447,470,231,174,199,445,368,787,389,994,633,290,860,396,439,582,
604,036,906,196,710,714,469,728,586,883,483,557,325,453,760,707,776,945,305,
916,935,731,463,527,083,074,077,595,346,123,826,298,634,265,055,864,946,477,
441,900,579,346,788,464,193,089,728,170,549,669,740,398,548,785,937,310,311,
886,914,149,911,823,088,493,140,827,509,288,297,879,395,181,088,081,621,860,
394,394,560,673,618,443,693,313,842,905,881,371,757,629,723,462,982,897,091,
914,634,232,285,007,549,605,015,062,322,426,780,568,601,095,442,393,680,288,
854,944,882,892,270,777,426,453,823,323,966,839,718,447,167,701,500,802,460,
480,968,345,361,434,269,174,442,370,589,906,432,890,593,533,317,602,198,868,
507,437,308,900,072,262,649,089,610,771,365,324,971,199,782,215,603,573,653,
951,298,703,387,041,977,169,705,508,180,696,744,603,657,972,097,154,251,584,
895,495,389,462,479,537,806,617,669,300,342,083,532,171,241,999,994,800,752,
182,538,724,499,614,047,720,836,948,087,961,856,205,645,803,526,991,522,024,
129,926,285,185,057,899,223,169,336,275,279,556,017,399,544,410,677,487,963,
381,791,058,131,320,998,222,030,621,328,579,688,332,263,107,503,387,170,366,
415,710,900,256,843,179,756,808,509,353,615,662,507,206,075,127,701,055,228,
183,386,208,413,742,051,929,393,659,150,144,084,178,149,822,431,673,366,209,
716,402,753,630,697,453,699,472,462,142,406,610,910,137,000,614,616,004,323,
744,911,088,977,668,637,983,258,082,334,374,992,603,041,903,660,025,922,551,
358,672,830,407,261,025,528,312,617,615,484,407,551,831,729,702,360,247,052,
107,130,095,513,039,145,406,768,927,091,029,831,107,360,311,569,141,719,224,
684,154,973,125,000,355,673,095,809,703,924,397,900,127,954,794,166,679,383,
426,088,890,463,416,536,142,829,787,339,958,027,106,149,863,646,624,392,641,
556,453,234,172,289,923,383,081,959,194,496,401,971,884,480,514,191,204,150,
362,823,995,063,853,190,220,045,226,527,128,029,439,640,871,264,282,985,426,
594,165,125,326,032,894,905,410,091,733,192,680,602,052,435,241,692,950,316,
199,173,648,003,200,592,621,135,592,215,081,583,679,346,093,633,968,940,310,
383,787,326,814,950,317,670,301,040,470,381,431,924,905,696,320,471,812,544,
484,725,070,868,941,016,354,534,300,152,971,713,046,458,295,214,754,299,499,
145,809,800,078,561,360,957,501,033,943,956,364,064,976,181,656,240,433,174,
539,211,052,958,973,468,654,812,996,297,129,815,023,901,621,056,311,435,424,
718,599,945,874,172,219,954,420,370,218,067,721,055,108,247,596,661,515,276,
718,585,867,933,474,899,819,458,966,469,816,528,090,286,352,641,306,150,949,
724,674,293,027,057,131,358,194,971,500,220,410,199,731,181,396,160,954,284,
787,981,749,488,875,163,766,550,417,640,053,737,503,838,480,384,349,242,102,
295,119,881,857,813,705,308,925,886,992,555,700,590,295,203,083,982,949,559,
770,590,383,556,484,526,855,789,768,743,931,870,520,294,947,623,751,635,446,
304,465,330,379,078,978,919,837,508,502,221,071,456,603,043,640,301,847,839,
423,693,050,470,462,453,037,705,533,808,703,169,758,133,224,184,708,109,814,
825,525,489,131,146,067,472,396,744,348,970,912,724,672,853,684,047,480,938,
724,480,959,062,885,629,466,253,442,836,165,945,256,673,009,566,896,428,663,
942,750,322,712,667,766,206,150,521,316,525,317,758,137,085,464,838,916,949,
629,751,388,136,801,905,667,493,291,248,840,932,791,664,354,575,344,420,197,
450,712,678,525,505,251,809,935,845,086,256,377,613,100,021,956,614,376,410,
939,562,940,591,875,115,449,592,784,385,113,600,020,497,480,896,221,685,954,
136,844,673,629,309,653,714,598,757,329,567,992,241,883,753,632,417,441,028,
419,346,993,467,360,090,386,307,739,301,005,705,936,796,894,002,719,527,189,
064,630,437,432,568,705,880,412,642,464,965,884,297,765,696,855,588,144,568,
610,825,694,828,239,481,011,348,489,242,401,212,636,786,347,707,789,028,822,
488,968,645,286,710,545,335,352,501,603,870,623,933,790,670,386,641,743,915,
271,487,263,484,422,178,216,292,393,451,875,686,775,316,011,439,758,889,523,
590,336,858,862,436,049,875,985,030,541,473,542,450,966,941,267,676,525,590,
276,871,974,754,454,764,445,808,939,640,838,134,209,228,103,122,204,991,930,
853,096,039,224,511,242,632,945,796,960,836,025,925,531,915,811,860,302,390,
166,424,700,637,876,037,552,407,000,447,547,729,200,199,930,282,346,508,532,
238,635,326,766,794,553,848,082,786,934,026,767,624,949,882,536,899,111,897,
962,793,675,248,294,538,064,014,567,384,073,742,425,336,992,715,156,487,955,
333,626,806,058,997,888,043,666,612,124,368,346,580,178,615,095,372,672,163,
118,521,337,184,422,412,679,440,857,367,976,925,202,672,507,516,153,649,199,
694,515,064,054,550,516,960,228,159,274,022,078,834,082,402,204,718,682,301,
898,840,127,588,028,996,642,002,361,027,373,483,972,080,752,072,730,463,176,
139,342,131,852,279,589,543,395,691,359,866,274,920,538,786,595,125,464,053,
930,054,719,433,643,586,928,966,336,139,901,378,807,348,184,863,829,438,829,
840,837,101,712,180,910,897,024,371,048,950,001,345,720,525,589,255,697,851,
081,558,944,104,022,965,320,500,848,363,126,491,016,992,647,296,964,626,332,
883,750,144,486,663,184,657,015,469,752,934,153,417,647,850,803,992,055,331,
924,444,744,379,934,095,918,129,253,570,489,469,130,597,265,441,250,774,075,
929,596,695,793,825,136,006,584,971,072,068,742,532,590,636,254,243,528,168,
444,766,588,325,733,907,158,884,326,315,923,210,433,468,039,571,508,014,380,
237,816,509,380,848,383,593,427,437,990,377,600,701,244,415,711,502,342,162,
387,101,669,342,563,249,329,043,580,630,601,978,664,115,198,478,478,652,192,
327,352,008,282,575,137,475,642,503,984,827,402,231,281,720,931,570,443,715,
415,403,316,303,904,997,016,538,141,867,400,794,322,608,664,571,697,848,338,
596,784,773,144,143,474,130,333,011,822,635,376,413,242,814,501,300,426,578,
424,110,372,776,850,003,423,156,741,088,700,669,392,093,261,934,403,020,364,
505,145,927,382,643,867,942,711,740,608,669,726,616,640,137,605,568,800,320,
233,513,294,072,771,275,954,672,751,455,433,961,084,885,799,192,401,296,415,
392,241,288,923,524,395,999,171,909,571,814,610,877,544,050,579,427,121,543,
788,697,462,049,729,901,674,808,935,530,094,576,355,797,399,419,740,736,733,
335,621,732,103,975,928,659,980,734,321,798,674,827,880,623,253,976,702,622,
404,605,364,889,785,891,020,540,217,914,740,828,157,491,176,837,314,782,878,
882,686,865,290,841,194,282,032,053,512,817,271,131,809,407,589,406,097,380,
994,234,774,250,451,543,551,850,366,221,755,422,698,541,556,233,851,012,908,
015,233,278,820,202,222,405,310,081,358,647,282,056,088,910,312,675,080,849,
751,348,810,196,889,605,384,526,877,766,666,229,120,564,272,159,424,610,859,
504,354,579,713,760,324,786,619,088,236,093,954,838,523,632,114,848,744,031,
815,276,167,306,208,060,185,715,385,300,330,801,678,762,700,547,196,126,739,
222,000,766,303,726,949,434,463,261,548,973,705,312,371,032,862,310,429,544,
894,851,390,114,359,868,620,246,720,717,561,093,538,468,492,358,760,855,587,
805,378,695,463,217,766,660,674,975,268,030,836,046,789,332,976,641,294,610,
819,868,191,433,562,581,814,916,573,325,116,571,502,814,740,166,223,715,023,
489,732,529,471,004,714,161,624,102,202,043,664,031,008,160,242,521,082,252,
228,011,007,834,240,604,645,706,380,715,337,506,832,608,595,269,665,002,573,
816,764,918,453,228,563,285,795,778,848,219,592,659,495,446,458,570,665,436,
190,243,537,300,810,804,724,136,908,806,940,203,279,996,438,864,909,515,430,
978,884,014,545,372,430,258,979,751,683,715,887,559,406,528,743,471,487,213,
671,676,053,767,261,085,566,978,776,191,557,952,165,130,151,846,846,868,015,
216,809,485,007,733,640,177,829,732,914,844,607,019,553,870,825,256,985,013,
667,729,814,496,281,212,148,304,644,964,349,373,318,932,078,059,887,845,988,
181,388,722,067,461,445,744,066,027,513,144,273,182,031,313,214,332,599,878,
948,555,006,143,302,735,630,773,297,264,831,780,480,770,858,444,824,446,083,
966,028,607,087,577,374,879,487,395,850,939,733,775,664,378,738,400,077,265,
912,204,886,450,554,328,851,175,910,235,084,496,849,661,774,757,742,421,669,
883,827,851,897,146,613,788,339,537,273,038,820,871,972,011,302,796,900,733,
423,673,041,176,223,199,885,936,451,405,903,712,949,833,536,073,390,541,783,
603,299,494,524,025,794,073,662,740,750,813,393,022,782,090,749,805,732,821,
016,804,411,780,524,925,896,277,399,619,043,627,474,305,004,281,485,911,133,
517,413,954,761,386,081,343,720,423,529,005,001,164,965,570,384,015,750,005,
606,781,446,014,287,903,980,675,781,362,662,364,199,838,462,866,400,370,625,
266,299,223,442,575,552,824,615,251,084,447,603,761,912,164,995,018,309,552,
134,071,800,727,521,177,484,087,586,098,811,205,932,140,490,494,147,086,755,
191,426,839,488,383,752,109,413,166,268,719,314,029,769,176,381,187,191,857,
649,325,727,354,918,194,432,171,158,642,010,661,652,842,181,264,471,935,687,
014,281,110,058,124,948,576,926,211,628,971,335,428,165,801,729,526,310,153,
718,936,807,841,252,593,507,056,919,073,713,906,975,947,259,767,174,581,710,
901,472,285,205,034,190,255,365,677,093,405,218,575,510,484,682,244,722,795,
163,577,021,213,030,859,925,584,969,279,471,117,777,559,710,783,439,692,485,
382,540,806,862,464,491,346,492,634,249,582,082,670,815,384,796,271,303,897,
327,491,683,028,517,153,930,467,633,779,738,531,887,778,351,682,427,254,338,
483,700,600,680,372,296,810,500,252,194,971,970,146,498,361,547,618,499,743,
858,640,410,233,497,794,018,905,731,924,677,467,497,817,699,153,505,141,027,
958,387,719,589,205,372,716,637,581,346,712,053,848,995,043,461,937,698,494,
021,583,341,053,903,610,462,150,662,297,682,041,232,255,677,657,388,843,482,
276,625,178,017,306,302,689,572,341,309,913,402,013,154,668,553,258,457,660,
927,625,808,068,691,567,787,085,390,578,213,555,646,285,504,168,662,702,783,
256,278,744,083,501,851,677,214,394,431,545,453,863,418,036,285,855,275,280,
201,985,781,478,480,551,742,193,274,800,501,415,356,626,692,497,125,599,959,
742,859,358,402,850,266,946,219,247,456,757,566,473,939,143,631,986,214,903,
320,257,797,384,759,423,409,717,786,021,339,417,119,628,484,600,427,089,310,
160,870,151,279,883,798,384,867,063,032,904,608,248,601,880,840,279,374,956,
742,520,804,827,689,664,773,264,716,138,902,299,754,648,858,379,457,643,899,
349,841,229,990,992,717,566,510,119,577,103,561,456,088,355,231,666,809,274,
933,750,899,755,738,089,537,038,669,161,837,144,909,142,015,264,863,673,458,
121,530,384,495,847,486,002,080,421,484,680,669,019,882,619,150,055,358,571,
105,840,603,152,306,227,798,667,922,912,380,704,007,197,580,180,868,035,591,
318,297,993,788,523,394,520,086,493,253,465,799,286,252,284,049,425,780,802,
633,257,923,333,511,159,039,414,254,922,238,364,171,990,532,821,183,785,066,
067,862,333,010,977,043,107,646,318,088,471,253,455,381,014,307,563,890,034,
563,925,140,667,278,494,678,436,042,064,767,385,638,058,858,726,240,998,429,
130,587,181,295,594,126,005,390,099,602,386,735,646,323,636,358,712,907,905,
707,504,995,108,208,828,195,802,036,529,436,797,888,972,083,839,679,582,641,
858,243,573,275,942,995,083,274,076,853,465,507,592,403,697,475,047,795,850,
239,098,786,423,223,897,923,604,779,565,753,179,777,356,249,833,298,558,571,
794,227,595,882,808,575,777,037,647,789,248,926,197,275,962,161,310,412,168,
334,969,194,042,867,928,591,354,796,814,316,087,898,452,178,337,233,115,540,
778,499,311,097,777,263,492,283,024,122,448,755,851,924,336,686,019,334,080,
666,135,155,598,886,767,710,681,438,386,676,705,580,214,419,431,642,919,152,
834,397,582,036,175,189,129,397,246,769,884,484,620,092,060,579,821,871,622,
764,683,756,935,902,338,271,503,925,705,105,481,355,126,464,749,843,791,958,
406,530,327,683,119,985,951,306,111,459,737,545,554,415,640,236,290,440,700,
027,089,585,546,470,949,586,302,062,798,503,341,693,541,194,464,536,336,446,
429,055,777,309,772,447,444,027,894,776,718,933,546,684,440,952,732,868,156,
784,024,381,973,996,215,211,217,560,217,455,972,947,713,113,024,088,629,241,
149,451,683,225,429,255,703,707,762,400,296,482,652,303,526,362,292,143,118,
836,740,624,139,233,319,295,438,342,297,817,165,178,309,698,900,351,446,846,
999,896,391,584,825,987,402,248,590,555,228,748,428,005,811,057,058,492,574,
659,841,562,878,326,103,245,686,573,483,436,083,608,433,011,219,210,429,136,
020,337,739,813,172,589,449,104,828,637,764,301,592,384,430,547,402,285,589,
118,007,447,138,038,824,327,629,840,572,897,416,063,878,196,455,045,889,023,
637,759,690,547,358,476,015,339,490,469,757,786,898,431,787,033,265,168,021,
028,699,767,798,721,117,589,165,920,499,705,654,445,558,008,488,799,087,832,
927,300,954,579,510,489,442,001,119,663,050,289,986,484,527,913,335,328,119,
632,795,990,655,795,247,027,374,498,700,326,843,126,529,032,524,257,932,271,
904,061,152,319,192,972,837,543,748,198,254,440,736,655,800,770,793,690,191,
337,351,744,341,431,045,446,530,166,246,248,305,581,032,776,166,764,024,726,
649,082,500,612,609,065,836,305,546,021,197,248,821,815,458,900,298,659,327,
024,908,070,774,279,535,100,812,542,093,220,160,764,242,988,906,186,971,631,
754,069,932,322,105,276,042,948,999,812,041,365,750,110,552,705,130,916,624,
247,033,180,137,158,962,201,310,693,050,176,004,606,734,846,200,289,321,420,
658,564,011,397,908,878,124,582,499,214,993,199,439,735,328,248,162,291,553,
117,703,211,958,736,997,746,529,296,803,986,378,896,728,683,864,767,654,277,
406,443,859,021,909,766,326,408,001,998,806,534,532,164,654,849,720,869,119,
523,858,631,675,741,429,371,024,749,530,618,033,591,125,823,989,416,866,821,
808,312,412,408,668,128,284,288,746,229,179,299,527,452,339,045,632,646,587,
208,985,266,227,643,886,150,200,450,128,593,467,894,531,907,623,010,220,157,
462,931,972,599,083,460,255,920,566,930,622,602,665,118,801,590,867,524,230,
786,361,059,834,833,482,266,834,208,075,707,995,825,137,549,818,926,559,728,
493,585,019,791,842,058,836,984,887,577,660,623,388,444,935,076,571,760,884,
333,798,594,738,930,462,398,727,044,584,503,107,883,803,181,691,319,784,519,
760,032,707,314,772,622,675,258,858,997,275,021,530,693,939,588,801,996,242,
305,882,084,145,042,767,174,446,399,817,966,800,206,403,050,636,162,092,659,
398,529,187,652,402,881,266,935,855,907,470,970,577,472,693,971,657,075,989,
344,863,436,993,185,168,392,589,226,995,015,382,134,471,209,110,472,044,760,
344,362,167,551,679,849,773,204,926,424,966,103,577,220,620,980,209,041,702,
677,585,209,862,602,455,962,539,729,431,972,877,860,690,095,095,151,838,749,
085,341,129,453,316,250,066,314,622,202,344,008,492,445,228,752,148,948,037,
068,646,353,291,210,223,537,127,232,408,900,418,977,591,962,031,860,339,912,
684,238,143,900,976,609,478,749,104,765,208,503,701,953,454,469,939,427,625,
985,081,738,262,091,260,398,423,778,767,934,114,495,296,012,172,279,787,847,
372,419,423,671,706,540,164,120,228,737,260,190,545,338,714,194,311,371,225,
301,124,196,504,636,250,452,118,577,975,554,763,721,935,328,317,440,410,675,
901,843,508,587,312,974,419,454,883,321,373,885,501,584,244,677,440,728,976,
232,269,422,690,256,276,203,040,134,300,223,920,840,615,198,104,828,962,061,
278,815,913,729,263,364,287,288,180,194,676,709,861,909,228,309,665,796,648,
170,115,018,271,545,354,514,801,192,907,998,604,431,929,749,108,181,925,989,
318,076,731,980,244,435,572,912,123,770,203,872,423,303,964,492,100,503,882,
580,736,293,999,918,570,169,640,501,035,660,364,844,979,247,842,616,138,386,
685,519,223,089,165,038,486,865,945,258,287,891,182,708,703,554,149,791,097,
989,154,856,166,671,829,064,237,484,419,354,797,881,090,362,055,059,051,013,
571,217,644,018,891,240,002,655,229,447,433,878,987,617,376,369,242,891,925,
882,654,601,169,765,678,368,222,795,631,107,324,589,586,621,919,273,272,939,
538,027,863,004,524,860,253,476,084,803,988,179,821,316,199,930,390,570,175,
296,024,570,571,505,431,579,173,931,472,105,206,654,440,196,565,060,363,412,
355,067,928,708,238,487,203,835,688,417,718,817,386,539,313,556,346,957,906,
724,768,661,820,389,592,344,328,760,976,551,897,267,563,976,014,719,441,454,
416,452,800,618,239,164,571,836,781,404,373,788,001,376,093,724,953,918,413,
775,625,851,667,130,265,597,707,034,013,465,894,209,663,779,643,596,492,258,
824,147,083,940,116,863,426,462,692,197,580,832,258,747,647,953,296,758,836,
624,695,490,337,165,434,542,198,520,319,937,493,105,311,248,263,979,277,250,
652,436,969,817,837,165,953,211,917,640,306,319,291,640,667,001,090,151,474,
705,888,198,897,324,166,270,058,384,447,418,762,544,040,120,416,061,734,231,
143,734,940,139,534,989,963,446,789,050,163,721,088,250,206,560,227,034,253,
934,417,806,661,539,967,782,680,134,719,484,471,596,429,824,604,753,276,186,
226,475,229,555,141,346,617,392,827,488,327,319,196,500,743,875,094,702,019,
498,730,960,504,460,299,088,045,464,470,110,712,687,973,444,086,093,126,077,
955,633,817,067,437,616,858,746,954,919,705,177,761,991,448,818,589,857,258,
841,563,907,914,943,146,993,492,231,265,717,579,914,471,794,392,274,645,162,
993,354,759,654,857,550,125,158,703,234,866,322,716,663,838,022,451,093,969,
053,721,487,092,921,323,199,299,126,960,116,872,354,470,924,187,804,429,459,
255,742,724,915,849,427,130,303,702,677,098,932,435,070,883,452,838,052,826,
683,584,600,451,345,747,826,458,242,613,609,756,579,129,433,214,061,606,273,
606,243,769,805,388,599,240,461,477,614,633,498,833,298,779,406,455,736,299,
144,076,719,348,270,965,957,677,295,104,401,720,695,491,684,206,257,828,128,
758,514,571,409,887,189,375,992,169,544,342,371,529,679,965,152,010,659,213,
219,586,374,061,656,753,520,264,877,182,458,922,587,554,274,397,786,967,409,
087,043,514,921,739,318,148,699,438,905,548,665,318,760,947,961,492,032,824,
359,663,470,126,296,007,602,275,176,023,710,584,641,402,276,929,606,450,838,
733,703,662,570,861,381,324,286,174,419,892,965,979,161,529,868,323,512,380,
728,703,965,658,747,543,679,709,383,545,730,843,793,964,514,089,320,330,021,
266,622,970,935,048,353,010,829,111,079,009,335,003,081,667,385,821,061,748,
882,622,982,160,419,333,491,562,257,599,728,276,188,094,383,874,630,822,541,
143,012,836,643,018,170,145,488,077,538,270,900,105,392,972,616,600,052,912,
086,353,847,885,007,618,190,148,350,121,248,516,303,458,019,405,148,857,082,
041,846,991,576,657,005,109,923,656,108,836,381,997,955,008,231,601,399,249,
307,702,872,534,914,487,583,645,677,873,200,526,396,239,094,896,010,815,929,
292,376,260,364,819,716,170,123,705,566,337,065,754,667,454,018,221,400,111,
327,196,473,274,418,536,444,179,807,406,669,620,850,499,756,862,167,311,536,
791,950,496,382,711,814,432,052,281,854,387,276,169,959,202,946,786,900,763,
844,942,455,945,035,399,674,351,703,230,003,758,774,255,630,980,594,913,271,
717,556,248,437,027,213,061,197,861,435,660,788,475,388,378,138,786,079,666,
145,719,197,043,913,865,282,924,882,143,130,592,133,106,025,382,917,894,870,
920,745,427,514,571,526,775,081,688,912,723,657,211,515,157,505,325,458,909,
234,327,548,874,143,012,203,699,948,704,556,739,361,024,380,994,654,842,228,
400,074,028,566,415,387,023,713,856,440,036,662,898,893,368,204,287,687,530,
388,444,867,710,665,199,170,765,150,094,392,051,544,746,241,268,096,757,779,
358,969,548,318,680,765,308,988,438,412,509,803,313,620,905,426,685,065,936,
989,755,159,728,326,527,919,187,436,866,788,029,476,793,417,985,877,377,119,
296,525,862,187,028,703,272,722,751,954,390,051,165,438,986,256,786,907,554,
573,877,496,749,753,131,947,889,182,355,481,278,837,307,553,866,170,667,297,
704,021,257,293,019,546,539,863,475,277,728,562,515,196,179,846,276,771,044,
334,171,442,016,603,610,923,782,295,190,288,502,103,859,097,127,549,733,636,
704,006,016,364,295,116,380,830,356,857,692,083,600,612,560,680,688,930,790,
224,497,540,196,093,006,849,863,063,799,210,626,067,741,924,020,284,808,690,
885,828,295,515,269,951,930,556,026,114,051,270,870,047,549,829,553,989,874,
995,162,916,584,483,854,601,655,462,175,242,157,922,943,510,266,369,246,139,
898,127,811,883,386,205,309,906,149,648,883,516,540,672,790,265,288,475,700,
354,913,608,601,197,768,095,437,220,506,977,128,693,028,910,781,260,430,737,
110,561,915,969,668,258,716,822,076,242,274,262,985,951,491,209,706,111,103,
855,079,959,549,249,776,931,763,683,358,133,631,735,314,002,135,335,219,210,
175,990,451,566,779,560,607,568,689,337,692,908,000,371,585,099,380,307,581,
592,833,162,207,569,597,176,119,990,784,635,253,306,287,869,634,020,921,360,
025,282,800,302,710,589,715,087,506,762,462,284,599,125,454,828,985,777,754,
521,153,711,928,271,113,892,577,204,498,565,260,739,143,692,397,272,331,690,
826,229,679,396,162,895,991,048,942,937,336,518,374,450,359,588,075,874,356,
391,211,521,656,737,672,406,174,255,084,850,517,501,343,238,443,442,693,837,
449,990,596,562,132,400,370,722,058,627,614,234,980,462,054,005,788,295,997,
011,551,278,349,329,962,761,423,443,912,729,805,628,158,754,955,371,800,955,
529,433,040,615,586,583,651,364,051,765,640,360,589,467,084,312,781,503,284,
462,259,067,616,052,356,474,151,278,391,354,843,550,810,799,536,730,644,242,
096,156,476,326,221,585,178,143,185,108,217,851,004,007,288,785,733,758,274,
445,174,422,043,403,760,090,679,016,351,523,591,547,210,256,801,509,797,164,
973,210,130,866,984,805,361,079,293,302,687,730,108,748,200,392,713,444,437,
694,492,383,187,961,342,224,160,609,007,629,742,892,800,088,784,808,693,177,
981,289,733,627,655,781,083,113,536,477,862,651,539,076,103,754,703,367,694,
343,190,545,905,999,346,823,890,994,946,074,386,054,083,618,524,844,343,487,
900,452,701,527,444,953,879,180,199,004,802,095,001,633,084,764,540,715,269,
710,309,695,078,718,794,282,714,178,970,176,543,184,025,215,613,907,563,084,
367,400,707,426,942,460,319,270,412,794,523,379,878,608,489,103,774,377,663,
217,038,678,522,557,637,284,349,520,037,464,383,524,243,818,474,597,445,442,
465,788,807,218,539,737,447,626,547,056,224,400,955,107,426,955,798,518,379,
057,902,617,637,313,218,194,434,393,250,034,767,063,364,970,224,650,927,892,
250,518,406,093,587,350,010,974,189,089,426,800,040,714,948,568,781,665,050,
159,275,258,446,990,214,489,121,891,226,567,306,492,489,829,591,932,779,198,
032,211,186,578,809,366,600,246,991,461,670,352,840,161,163,643,761,078,403,
803,706,972,436,249,299,335,922,773,919,922,042,355,120,926,485,807,515,017,
852,506,745,012,431,482,322,800,597,470,925,355,635,619,307,670,496,411,961,
938,913,357,972,619,471,030,298,622,347,652,361,108,987,713,827,927,907,653,
871,775,160,328,639,703,905,758,615,282,323,643,692,173,561,316,061,646,737,
041,966,732,702,806,775,169,974,472,782,989,821,923,777,617,151,139,109,974,
926,695,760,961,895,246,358,119,774,324,372,717,398,148,493,032,986,470,530,
519,001,828,414,252,326,409,144,492,426,482,123,901,171,547,365,771,393,741,
684,350,622,063,119,780,767,024,108,468,326,341,591,548,141,673,892,585,530,
744,835,317,989,686,541,267,365,837,083,408,298,739,619,677,442,449,680,948,
686,791,332,630,763,082,780,764,934,808,906,063,103,865,033,194,352,974,815,
543,715,771,109,958,200,906,786,512,331,723,958,339,545,666,659,513,686,423,
498,525,031,160,100,876,445,727,938,641,904,546,259,298,137,297,748,361,683,
923,340,551,382,570,297,012,207,147,792,599,452,936,742,494,286,558,104,565,
268,539,314,995,005,775,001,955,568,432,993,713,037,674,357,979,986,548,589,
440,577,215,538,894,440,514,645,240,087,817,694,263,704,226,572,554,674,478,
082,018,024,972,524,984,034,966,035,782,118,984,799,693,431,587,896,747,709,
150,552,775,959,031,963,742,565,847,121,619,861,923,571,710,581,036,523,703,
116,516,074,639,703,693,528,537,826,173,013,368,326,983,637,833,838,047,690,
113,570,978,579,131,895,594,676,834,865,604,478,550,417,961,815,669,734,929,
367,984,984,244,697,398,010,803,349,270,764,070,398,612,709,617,381,647,872,
021,425,772,482,544,960,839,515,524,011,796,265,954,502,708,965,611,763,375,
743,344,911,163,414,320,311,584,815,363,562,072,963,653,461,158,296,652,925,
358,709,665,538,558,201,136,566,079,851,274,665,221,602,795,374,360,000,616,
136,372,491,842,496,313,240,119,527,999,587,613,908,531,368,974,378,523,296,
137,233,249,741,230,866,145,484,805,788,143,748,827,619,706,272,707,985,538,
815,481,791,360,460,941,754,422,632,526,376,678,112,536,493,500,204,037,290,
983,674,235,635,690,561,261,668,220,665,354,397,644,847,410,400,259,489,807,
650,719,353,976,483,708,955,423,130,852,709,177,016,171,694,528,955,149,776,
188,691,283,333,651,645,702,472,982,284,862,954,417,959,236,326,844,271,593,
128,758,432,242,778,846,182,127,451,820,830,908,735,554,481,405,359,329,700,
895,589,227,970,146,277,020,749,714,812,448,347,384,991,280,307,890,184,663,
262,558,592,465,071,560,931,573,519,852,982,346,711,418,670,640,284,512,561,
051,397,224,226,551,352,940,904,129,931,317,449,815,509,445,753,127,663,433,
986,817,741,060,170,903,447,874,501,097,054,221,929,798,324,251,068,123,337,
608,534,551,418,091,971,966,419,343,329,190,882,799,081,474,555,107,948,070,
402,925,591,113,452,905,139,509,127,380,772,878,815,118,077,365,824,199,354,
976,268,898,250,130,743,242,767,600,522,147,565,314,479,293,425,639,319,356,
075,545,000,251,286,040,768,850,151,839,469,274,344,681,349,742,787,801,726,
261,448,096,765,994,545,869,212,525,007,431,983,881,409,233,708,308,256,502,
497,388,276,450,597,249,122,645,859,615,022,568,556,864,274,209,438,468,577,
922,169,814,839,013,655,287,862,683,460,344,907,565,142,996,390,443,992,225,
814,474,607,045,786,748,954,034,634,506,277,087,790,425,215,863,053,408,383,
800,315,961,822,102,433,905,535,587,871,657,971,170,641,886,277,430,761,834,
353,312,396,972,945,328,284,990,007,432,084,635,927,217,932,415,817,988,051,
503,581,032,400,002,102,397,414,510,946,578,881,141,160,439,662,226,043,315,
517,253,558,704,756,286,075,348,883,688,164,588,852,396,758,067,858,409,173,
094,643,480,472,591,112,737,731,074,917,698,997,648,142,783,461,283,212,651,
959,064,978,435,697,285,985,374,054,656,492,026,084,549,353,125,592,079,031,
935,498,210,665,264,774,691,852,974,271,132,105,235,441,382,785,163,910,638,
414,457,056,928,117,282,845,018,266,798,993,417,833,052,136,345,097,568,923,
949,548,197,065,262,437,237,705,618,480,974,365,317,849,918,625,503,474,373,
057,705,950,665,958,161,182,762,110,728,505,180,113,111,036,438,485,657,338,
149,849,107,158,512,071,060,667,685,864,755,148,051,848,914,797,830,212,441,
141,531,156,534,249,448,179,976,341,543,971,919,022,588,876,698,844,881,674,
401,748,263,849,848,581,598,117,665,859,562,691,936,895,414,170,859,930,240,
910,312,061,750,982,953,645,765,074,902,636,130,489,267,787,255,773,374,541,
282,143,498,020,202,515,045,342,581,523,362,635,716,435,749,417,867,785,568,
111,559,138,345,565,126,674,624,140,668,808,107,886,721,051,001,393,711,443,
187,830,600,755,179,661,296,685,656,886,127,773,684,369,385,076,347,671,338,
607,929,973,279,913,207,552,112,242,473,222,145,721,571,501,898,993,371,975,
044,045,052,933,877,991,929,007,336,335,566,162,351,107,239,351,903,190,065,
767,306,303,076,658,424,530,994,041,790,663,262,019,853,778,638,232,848,730,
272,293,399,836,475,355,154,311,311,896,585,528,373,788,234,666,497,389,005,
414,040,202,257,587,154,790,357,741,602,902,553,563,607,201,435,761,192,078,
800,141,779,144,551,826,068,593,228,485,962,966,361,216,892,620,220,223,617,
320,884,629,015,687,180,015,994,172,134,699,157,533,714,706,001,613,770,221,
276,946,882,032,071,206,502,482,208,609,875,969,471,041,104,168,086,496,095,
706,027,885,723,717,624,193,611,332,240,111,211,975,460,112,564,436,569,067,
007,882,691,790,482,267,296,750,517,176,173,527,314,319,643,787,072,517,827,
023,124,382,830,588,689,216,838,696,937,772,815,692,952,288,059,652,066,619,
310,116,142,936,498,999,264,162,532,355,422,940,084,009,138,947,807,056,310,
221,610,663,029,080,444,971,963,773,956,467,884,762,107,474,442,576,173,677,
152,259,093,191,754,892,488,716,360,245,218,479,329,705,002,336,663,330,130,
838,688,686,170,386,140,640,898,591,054,946,626,760,754,845,733,720,991,938,
291,582,788,938,827,501,749,303,091,777,746,303,282,867,984,719,001,809,721,
835,760,055,851,431,332,443,289,790,135,039,782,707,236,494,446,002,468,559,
064,402,559,949,660,286,026,671,742,903,326,460,395,394,732,194,613,806,021,
118,926,427,386,467,018,737,606,110,877,286,827,219,064,778,420,539,528,479,
400,242,999,487,339,042,035,047,952,064,599,331,614,860,342,525,452,209,089,
595,728,995,672,146,722,623,783,654,992,374,044,012,206,188,971,040,822,737,
623,980,080,214,389,598,191,608,561,467,076,301,259,519,602,087,827,898,271,
979,677,699,060,853,842,540,307,035,219,232,259,499,474,256,637,888,689,385,
775,940,590,849,141,638,555,192,395,865,108,722,954,261,226,695,483,343,367,
030,620,854,618,640,514,443,725,932,577,687,128,561,490,552,572,653,100,099,
573,526,930,206,701,025,113,384,710,854,501,402,921,614,311,754,169,505,734,
278,394,027,281,287,764,885,159,337,939,473,881,664,232,672,262,697,979,064,
792,096,665,955,022,876,861,559,459,555,738,744,817,311,809,315,575,396,043,
542,866,253,116,977,062,067,933,262,736,675,506,106,202,439,399,181,793,942,
954,717,174,220,526,236,780,735,001,801,248,294,401,261,513,472,570,566,146,
207,538,616,436,640,371,651,849,136,425,470,868,756,939,921,446,322,173,594,
115,052,552,573,131,452,904,178,658,612,452,462,503,454,767,530,397,112,899,
729,591,362,492,109,027,251,884,331,259,778,234,706,881,112,241,627,411,819,
180,180,895,837,286,947,348,760,102,577,220,578,777,179,675,660,051,846,183,
589,096,622,381,287,240,175,733,324,082,692,707,039,601,746,627,386,284,257,
709,786,403,978,172,754,839,650,465,275,399,369,780,625,481,224,585,555,745,
335,781,502,580,291,453,605,448,998,367,764,563,547,471,803,225,720,871,788,
504,057,928,782,024,258,210,551,165,711,356,333,267,608,752,159,946,098,496,
314,261,014,187,066,859,080,408,374,043,280,721,945,980,613,406,158,300,872,
275,314,925,882,782,747,845,165,547,177,514,239,950,130,370,092,522,193,248,
044,797,042,631,655,706,299,924,310,909,715,348,712,435,625,316,771,128,835,
564,670,217,014,924,163,964,466,933,662,090,310,433,075,718,856,888,938,606,
970,823,024,239,015,033,972,872,157,721,757,800,241,372,697,618,466,382,724,
488,327,059,435,519,884,168,052,665,995,182,797,921,073,180,528,678,832,770,
845,606,641,245,437,643,312,893,685,373,614,335,137,566,128,024,265,964,352,
792,220,694,266,215,199,438,113,010,587,141,421,275,814,268,554,957,079,659,
923,236,220,595,861,432,812,711,470,146,987,732,944,558,170,471,200,902,216,
284,192,455,963,792,416,952,288,436,643,354,764,775,642,775,025,816,257,333,
054,070,876,021,851,342,281,091,045,710,601,176,976,694,041,395,447,338,972,
697,328,069,493,365,874,940,350,334,420,444,953,249,912,685,859,604,759,736,
620,025,330,234,644,805,229,961,500,889,422,265,751,390,091,150,693,417,206,
414,736,631,532,974,928,901,296,047,285,880,464,803,215,892,235,203,566,334,
526,816,900,703,555,071,049,578,349,801,071,609,521,760,338,983,757,990,396,
030,604,959,798,615,855,080,218,615,608,773,409,239,381,069,371,751,572,951,
840,655,239,995,397,748,705,028,531,397,238,294,402,953,713,057,402,374,318,
555,179,178,669,189,853,299,406,146,378,180,670,570,477,687,865,888,806,372,
258,434,660,803,148,582,996,964,172,306,334,934,956,467,358,771,989,147,214,
950,084,886,475,981,549,212,366,773,665,784,370,378,190,536,734,226,997,663,
291,498,487,970,375,070,657,144,332,907,048,099,944,185,671,937,012,849,331,
352,216,040,794,392,928,369,306,907,078,557,566,289,123,290,489,545,096,197,
337,342,255,037,175,936,056,657,582,903,869,203,568,196,998,662,506,646,510,
888,631,777,051,329,277,071,114,738,856,188,056,559,728,825,362,269,974,880,
589,146,349,086,829,134,880,262,937,795,747,133,121,702,031,146,576,552,963,
342,973,079,506,907,435,297,407,467,051,001,690,695,419,799,044,682,346,896,
384,090,336,364,475,695,398,896,302,736,125,954,151,558,231,123,348,926,142,
173,936,896,941,290,439,528,886,257,327,762,598,330,394,544,202,698,713,469,
199,937,824,986,685,967,173,550,576,835,202,274,246,227,346,653,809,633,224,
641,088,564,518,566,942,357,660,992,373,999,499,440,712,792,447,476,862,297,
179,934,476,893,083,356,182,805,797,147,984,811,269,740,934,323,959,762,964,
625,259,129,390,533,573,103,221,213,573,363,781,648,580,587,790,894,236,162,
052,517,659,329,893,185,655,302,751,270,010,691,115,778,856,452,101,018,822,
006,406,621,612,161,992,193,599,383,770,441,667,163,831,429,897,153,763,717,
828,291,717,221,019,156,548,166,837,213,121,841,396,033,818,730,034,285,175,
412,490,403,808,357,293,371,263,775,691,094,312,924,661,069,793,506,748,054,
079,036,151,931,070,173,260,138,119,876,832,403,412,907,200,663,662,746,718,
893,168,483,507,874,958,419,131,608,478,346,839,417,489,536,154,270,621,608,
338,830,817,654,899,041,516,555,183,131,751,409,601,136,797,671,188,091,403,
684,307,016,189,938,613,687,023,962,639,396,860,185,756,016,691,800,116,299,
999,399,122,797,900,177,771,222,687,750,636,694,223,843,398,153,011,564,061,
118,320,635,196,351,796,693,350,741,644,844,947,523,185,633,217,032,114,523,
540,720,547,424,382,103,096,957,453,697,725,323,098,917,588,998,094,624,839,
483,704,439,305,646,054,355,020,142,718,377,514,236,104,716,919,555,697,736,
463,071,984,969,384,379,636,918,331,953,251,258,900,872,410,968,083,627,836,
075,218,730,097,740,792,523,820,552,033,006,351,503,444,560,242,631,989,194,
646,230,050,594,265,175,219,795,427,391,894,358,856,123,068,159,653,715,180,
063,399,007,501,649,820,836,729,785,783,528,642,910,176,039,247,382,197,538,
180,521,321,714,146,222,257,184,986,575,446,032,017,783,249,023,828,300,279,
755,065,958,694,795,031,176,353,746,152,297,220,832,248,564,319,899,691,336,
700,366,031,904,009,537,361,912,705,843,236,078,039,155,956,546,941,034,666,
969,978,003,732,508,547,382,009,526,689,047,251,833,402,034,855,654,953,460,
394,731,497,892,619,387,482,890,375,415,538,347,422,987,984,616,963,064,341,
645,786,226,210,019,144,221,758,696,545,180,213,306,666,404,653,211,021,746,
639,174,653,491,707,191,695,911,406,447,459,732,286,592,086,929,849,969,494,
985,564,323,495,312,791,039,944,670,851,595,401,258,702,194,895,267,444,492,
652,928,884,504,224,834,446,726,549,623,260,629,407,632,270,940,748,503,970,
370,160,856,923,169,484,655,659,192,239,536,039,487,119,678,480,875,238,357,
140,828,667,409,459,114,139,777,384,222,793,519,654,133,506,071,699,921,418,
048,089,784,493,185,699,031,213,352,156,573,761,973,274,625,650,450,540,131,
993,660,717,417,294,376,183,409,804,402,541,629,463,484,212,659,339,385,359,
181,742,027,607,635,404,493,809,852,968,618,004,745,425,532,866,075,038,338,
547,946,881,755,490,826,639,286,610,081,068,912,457,056,356,617,382,283,620,
890,648,797,800,832,052,678,658,338,053,034,106,806,184,206,848,566,647,992,
255,754,917,792,241,361,538,627,753,460,300,314,976,866,635,697,038,224,890,
240,841,123,942,592,277,144,663,929,116,326,433,761,109,516,304,873,997,426,
658,553,557,344,000,222,222,783,773,401,012,200,842,054,797,642,449,405,131,
906,237,458,635,933,088,795,812,243,126,814,091,111,874,532,558,439,283,308,
901,694,571,729,491,304,565,017,471,898,598,562,507,968,866,191,135,643,673,
762,570,374,880,732,231,953,191,242,537,236,772,307,102,321,711,808,152,522,
934,467,329,070,726,914,470,993,721,378,774,843,688,990,713,907,948,808,793,
700,946,451,131,063,368,653,018,790,602,086,869,187,406,015,423,268,952,035,
331,494,831,765,508,281,149,965,037,984,810,825,529,322,543,471,349,873,670,
249,453,134,135,992,052,380,828,109,280,762,680,925,263,272,703,314,982,281,
431,446,507,017,076,645,338,012,806,619,289,154,631,951,947,191,330,041,581,
531,207,816,701,086,768,250,815,640,663,970,661,882,692,465,936,113,797,040,
216,859,831,960,159,835,288,999,754,089,206,762,112,583,963,662,050,727,489,
746,994,917,273,117,183,993,651,331,638,371,446,441,682,840,031,364,559,126,
283,068,921,419,593,447,045,463,187,647,779,034,698,651,899,080,077,520,405,
660,778,583,593,616,930,843,442,135,702,014,557,103,342,791,802,911,189,380,
873,047,015,188,647,301,596,911,666,101,684,519,652,921,369,111,834,792,832,
755,056,696,475,897,750,629,953,790,389,218,655,232,662,515,534,991,237,436,
634,928,885,770,048,522,640,895,102,027,340,153,679,743,812,476,028,552,197,
929,948,693,983,549,310,450,414,347,934,360,567,347,663,351,431,979,458,006,
387,912,170,855,121,050,386,186,693,225,859,456,512,067,949,578,549,443,982,
893,137,968,591,671,836,668,556,228,886,165,339,001,997,456,630,450,206,322,
389,071,433,943,152,301,194,474,467,263,452,836,473,223,498,598,662,351,619,
123,312,572,211,603,040,005,988,113,234,052,230,463,922,027,151,837,708,885,
882,815,901,699,355,701,193,648,252,866,456,091,300,863,997,975,426,824,891,
077,115,752,388,880,693,366,511,635,233,117,083,476,472,412,289,250,747,694,
675,386,624,084,997,190,228,617,728,755,679,331,434,205,897,941,399,756,143,
260,532,910,216,509,354,504,924,954,886,705,311,996,090,967,688,727,708,235,
433,059,734,729,060,193,442,267,480,113,445,517,488,854,824,883,451,824,694,
832,060,400,322,005,248,650,284,303,922,195,717,485,097,633,130,267,734,840,
261,297,169,801,376,841,474,331,375,794,029,640,134,185,782,741,664,657,828,
624,668,613,240,866,357,144,417,107,460,737,948,846,081,582,348,142,003,248,
187,477,007,451,178,077,869,518,869,826,448,846,333,802,479,487,223,463,001,
593,176,086,004,637,938,624,766,424,532,614,632,162,234,632,486,100,234,702,
339,500,620,842,272,821,359,020,545,014,675,826,603,011,042,687,873,528,665,
429,553,528,262,279,543,416,055,718,167,044,856,382,101,426,425,985,520,923,
493,613,471,260,346,055,914,382,051,158,172,581,394,804,331,232,457,129,012,
418,810,704,697,559,039,279,351,796,801,396,287,344,935,418,500,750,352,789,
698,680,598,855,800,154,745,623,179,734,168,283,725,715,544,826,882,907,137,
592,062,583,497,373,198,270,400,391,850,412,622,807,464,781,960,335,802,317,
156,904,252,790,770,491,883,824,153,731,472,185,014,682,243,473,523,974,101,
103,188,932,919,246,198,418,566,181,741,435,286,973,290,708,206,475,823,519,
089,761,181,548,204,012,570,880,639,841,899,189,104,123,996,388,448,869,342,
880,761,328,989,482,710,257,980,129,940,622,666,917,399,136,256,534,589,093,
334,861,061,188,478,769,859,114,140,328,592,479,371,316,233,919,737,164,704,
012,495,636,937,813,651,772,683,828,136,056,467,654,069,892,846,544,573,890,
973,106,486,086,913,308,896,508,842,593,942,330,175,635,526,794,436,539,097,
568,346,819,208,778,915,305,900,643,515,734,298,351,765,257,644,487,911,558,
382,239,343,461,379,044,714,336,283,022,955,594,923,544,933,760,005,394,006,
901,977,157,861,354,222,239,990,139,547,081,061,958,170,208,301,864,992,596,
592,771,794,668,315,003,888,232,571,385,963,258,273,684,759,296,122,575,245,
180,168,695,442,772,960,303,258,275,675,038,662,720,777,635,239,399,613,142,
645,754,969,960,236,276,913,082,346,304,600,395,491,015,343,893,614,858,696,
191,944,516,377,590,747,535,601,978,478,561,018,816,486,866,309,995,575,220,
555,275,519,227,436,973,593,010,814,553,466,022,941,196,195,600,866,897,029,
181,386,284,280,276,954,567,260,743,081,475,725,000,118,918,136,603,997,329,
074,948,058,986,697,494,020,409,727,092,362,164,041,505,676,357,218,678,177,
046,904,220,932,517,105,116,548,401,137,991,146,726,374,216,943,886,211,602,
040,796,368,113,275,168,897,753,857,195,123,183,996,423,696,111,773,814,942,
024,408,863,806,932,091,236,616,394,191,600,874,346,310,186,300,599,954,295,
602,868,929,525,596,707,815,140,895,909,713,493,383,672,639,995,951,566,775,
249,148,478,867,827,379,599,792,797,458,699,437,976,029,931,124,052,920,751,
835,786,397,532,483,569,702,974,896,011,004,091,440,619,551,139,380,412,314,
840,743,987,373,651,917,849,299,161,294,254,024,034,471,296,211,404,064,975,
286,542,665,464,346,985,386,744,358,077,747,529,066,449,226,389,105,712,018,
767,552,976,587,311,217,442,925,624,821,908,843,290,354,301,490,134,125,677,
171,084,081,986,486,280,582,781,712,716,959,937,608,785,985,022,170,186,988,
281,010,520,300,167,831,842,996,855,582,539,473,094,354,401,209,962,839,417,
609,462,956,961,106,077,389,325,198,559,452,881,722,227,719,635,364,439,122,
834,928,377,735,222,408,927,826,003,150,912,868,416,601,777,089,138,040,955,
904,767,020,862,476,024,071,100,324,612,287,401,358,938,097,316,179,926,531,
495,720,487,293,781,155,426,706,660,409,419,492,794,615,580,410,930,772,538,
706,628,553,472,261,092,551,934,353,778,740,301,090,809,344,685,841,895,800,
411,448,225,473,797,302,513,485,605,182,881,823,281,211,220,249,770,865,580,
730,707,005,414,884,577,560,331,716,914,950,178,825,077,000,482,044,963,478,
398,999,789,356,864,151,311,074,947,097,530,924,573,976,729,960,498,673,029,
756,579,643,919,861,735,224,656,220,029,386,593,331,674,280,886,897,283,465,
982,955,148,696,917,329,175,749,530,776,355,432,541,598,002,715,057,225,987,
696,185,616,467,176,233,382,243,899,158,486,422,760,903,093,308,369,594,092,
542,382,026,567,452,577,565,275,948,095,629,441,323,112,050,703,747,554,669,
342,916,885,489,786,608,014,107,385,644,521,770,386,844,830,056,583,729,590,
134,962,064,435,618,145,675,795,838,267,798,548,590,898,155,381,003,823,712,
391,329,348,648,417,919,632,206,878,958,984,813,179,191,591,482,418,120,763,
685,570,492,132,712,503,448,345,648,831,241,027,481,395,054,512,687,540,574,
410,099,619,479,564,960,771,075,762,366,407,103,721,104,491,264,240,727,436,
258,792,097,630,214,747,999,859,534,159,341,511,911,556,922,013,469,421,952,
895,189,620,619,579,353,430,180,090,041,894,696,266,967,003,738,859,342,025,
519,039,511,033,626,564,581,878,968,202,593,726,834,915,515,172,189,871,136,
803,199,049,512,479,817,079,371,356,627,852,913,730,172,323,230,083,445,578,
517,408,722,192,820,906,660,205,349,857,712,519,675,210,213,032,264,924,353,
889,064,560,908,564,364,416,261,374,703,198,944,712,358,514,114,703,640,895,
492,238,681,567,167,102,737,865,363,020,707,355,928,735,835,805,127,149,086,
883,380,294,529,643,653,295,811,701,470,668,756,327,264,540,158,411,205,557,
676,587,958,978,380,708,055,772,645,518,178,049,144,674,337,987,193,383,760,
887,970,289,998,787,491,114,518,330,008,161,186,900,694,263,891,529,527,125,
612,679,900,295,306,533,953,961,663,413,233,411,833,086,003,225,598,810,865,
107,399,568,927,526,007,959,127,978,132,344,863,561,796,998,671,763,040,992,
138,225,398,489,516,661,241,365,379,519,703,272,240,011,405,769,504,019,441,
999,106,098,445,280,138,403,692,287,481,857,855,035,775,690,366,194,660,969,
545,922,125,537,464,755,787,371,460,554,158,113,414,751,423,138,585,995,059,
329,717,881,828,704,737,708,586,687,285,120,653,435,757,664,446,066,231,279,
721,462,427,199,823,571,635,555,706,709,237,532,340,996,602,195,490,992,439,
056,585,367,570,559,145,393,668,859,896,512,687,113,991,149,734,364,642,141,
887,940,054,503,331,884,631,751,151,101,239,794,705,974,932,222,730,688,435,
778,465,623,980,977,064,220,219,969,571,600,785,917,004,044,950,190,363,798,
700,724,897,988,186,657,968,336,516,679,306,058,655,184,510,185,122,359,060,
086,018,529,621,850,152,606,683,247,736,883,642,267,395,662,597,128,038,569,
628,149,307,766,339,136,891,581,010,870,991,244,112,486,399,899,984,737,080,
356,935,857,691,962,929,503,476,393,751,961,766,036,935,717,648,781,151,500,
251,300,214,543,688,943,012,401,809,276,137,540,155,820,308,722,996,330,314,
277,694,509,394,232,558,523,251,486,885,393,863,228,798,143,022,317,983,883,
419,153,573,252,113,401,219,683,817,050,375,373,289,210,650,368,379,951,465,
604,062,556,782,103,711,024,962,886,183,349,372,867,866,584,324,601,063,022,
168,441,231,266,881,889,868,505,839,519,418,783,611,290,517,680,983,118,931,
401,884,416,874,724,291,936,381,387,417,384,175,325,432,272,607,467,628,494,
005,255,792,552,703,112,619,357,220,145,429,751,801,208,251,769,541,421,982,
183,306,267,051,931,761,210,078,248,413,741,645,066,644,365,398,019,196,309,
520,639,023,175,687,894,508,688,348,279,670,762,183,568,927,565,137,192,821,
493,611,609,199,609,469,288,185,924,307,930,025,769,791,594,938,808,153,881,
480,870,183,471,285,492,028,978,690,234,692,887,540,849,427,909,609,665,238,
199,249,059,809,657,205,885,410,278,408,845,219,944,959,539,936,867,451,370,
828,983,371,792,947,959,351,011,908,249,810,158,478,033,581,083,023,426,742,
601,934,230,366,183,988,149,313,094,431,231,373,505,966,832,504,745,170,711,
983,285,759,033,337,374,154,814,568,655,490,750,203,002,985,446,694,459,135,
433,276,296,777,686,049,585,029,857,348,728,478,131,376,296,424,557,431,196,
676,193,461,720,135,860,059,129,430,645,416,862,398,771,785,723,894,362,728,
971,403,021,846,884,194,352,521,355,234,728,226,689,759,941,131,647,059,339,
479,428,475,714,445,107,245,605,046,469,787,256,836,812,575,416,010,329,986,
558,174,168,580,715,964,024,096,467,504,198,847,422,907,144,111,869,882,467,
272,124,038,165,787,599,578,082,162,713,640,214,281,970,003,186,522,337,474,
800,244,485,874,972,989,485,094,551,396,033,705,917,010,057,270,170,701,976,
247,092,677,777,392,427,998,970,262,630,906,180,261,881,645,257,455,556,316,
402,050,882,193,360,263,860,287,823,401,357,180,542,899,587,023,493,280,893,
691,108,624,837,256,186,242,242,164,625,009,112,169,343,328,816,554,126,701,
776,656,407,427,216,444,799,917,011,995,377,127,519,613,267,169,118,774,662,
136,882,985,338,969,921,442,891,288,933,911,516,927,927,911,030,634,085,787,
748,240,570,565,002,078,994,810,218,592,243,686,392,563,780,507,609,512,663,
057,679,820,673,086,155,040,289,941,587,626,094,613,877,198,017,259,224,941,
025,991,537,916,896,422,639,613,939,071,580,526,175,317,875,116,216,871,743,
963,773,338,644,558,891,007,064,557,455,538,772,482,275,856,615,605,296,173,
516,057,804,090,393,296,728,263,215,031,615,913,243,871,464,711,563,228,035,
589,158,744,893,704,727,656,599,376,140,856,941,180,931,445,009,054,787,678,
164,518,615,724,883,030,770,725,613,680,833,475,676,255,402,198,318,449,145,
199,450,832,508,304,502,175,081,046,139,115,561,278,594,864,219,169,099,149,
377,828,592,778,740,100,004,501,252,927,488,102,543,346,550,976,657,478,560,
211,631,964,532,499,250,726,702,330,452,991,568,104,471,746,416,409,072,442,
304,826,203,831,450,186,212,065,023,023,359,326,612,192,269,226,532,040,338,
492,676,048,056,190,092,978,428,436,206,125,096,190,220,482,719,846,121,634,
024,556,705,976,753,178,847,059,364,776,618,185,094,410,063,488,619,772,558,
750,548,738,183,725,771,837,661,836,343,275,997,224,856,824,952,215,547,279,
077,370,244,913,943,880,489,574,087,606,267,259,415,044,312,596,272,725,383,
157,774,898,566,749,245,018,698,329,202,991,966,492,405,418,132,516,858,225,
321,353,464,753,338,331,235,331,596,256,465,320,878,394,836,857,246,620,349,
556,665,878,693,346,033,634,297,292,036,891,242,943,473,667,700,668,325,465,
370,187,735,057,393,410,438,590,988,859,121,839,892,584,235,455,754,002,802,
139,356,288,424,801,988,973,485,546,062,361,065,527,442,435,486,214,389,013,
271,941,272,652,557,930,341,655,636,685,614,575,339,769,799,511,804,751,532,
247,981,700,338,259,196,449,589,896,515,536,137,240,243,556,194,368,084,436,
684,937,397,375,574,152,093,247,446,687,857,311,040,470,459,714,949,585,068,
446,256,096,390,551,777,867,932,695,518,367,486,812,037,334,636,212,194,230,
763,495,383,230,392,664,068,385,261,986,209,338,194,331,341,762,503,180,629,
325,655,260,030,365,980,019,061,699,119,268,953,981,705,014,011,214,339,170,
783,001,961,066,801,861,665,453,997,169,973,924,098,854,152,410,621,513,006,
162,560,262,962,844,646,599,465,483,667,523,250,341,363,848,012,498,659,808,
206,047,471,846,143,076,612,403,412,287,902,406,547,889,360,332,087,449,458,
724,010,688,155,630,396,997,667,968,267,862,556,421,307,231,763,418,823,250,
005,105,938,807,102,975,398,102,687,476,063,012,985,301,764,547,799,558,311,
806,575,734,396,136,051,355,361,529,322,493,979,324,193,892,174,026,446,045,
878,089,777,056,641,950,656,093,539,129,560,494,242,074,037,406,757,793,872,
349,728,695,195,117,580,483,266,701,798,752,787,773,796,823,360,618,397,708,
041,782,104,447,883,730,321,897,287,452,838,056,188,867,456,682,078,756,561,
512,196,031,524,704,400,011,633,387,744,120,751,629,165,274,388,210,073,572,
589,185,154,325,092,075,658,811,375,813,443,464,014,587,792,848,541,005,566,
378,684,801,371,611,320,018,311,866,784,573,547,817,356,926,422,271,289,283,
717,629,473,662,381,968,258,229,176,573,528,086,086,540,653,415,325,110,195,
509,934,065,279,318,773,950,758,056,312,311,328,082,110,534,755,945,101,813,
742,376,389,980,867,616,535,200,544,577,308,442,933,443,403,219,919,128,194,
109,692,345,504,570,444,975,395,579,539,227,137,481,334,969,128,745,522,548,
475,093,573,166,716,785,568,077,358,522,488,037,484,100,613,917,976,906,471,
320,163,636,593,629,244,954,273,797,398,414,391,395,733,885,422,706,476,738,
540,821,003,140,864,689,229,849,235,597,648,569,936,908,431,757,459,183,605,
068,501,741,741,489,174,830,790,759,568,677,178,743,978,829,706,321,131,513,
803,876,022,176,937,517,974,105,095,426,097,841,063,485,680,549,789,319,554,
948,992,229,091,245,854,614,021,184,624,941,301,547,277,555,223,838,526,301,
901,731,532,820,411,050,193,492,797,936,986,766,167,504,726,825,701,843,580,
661,501,804,893,580,813,889,842,370,958,766,806,257,476,258,278,620,157,200,
158,891,235,057,839,374,193,481,505,135,406,077,549,008,479,614,990,136,709,
049,270,755,560,340,517,713,679,023,338,971,117,379,935,560,050,370,748,080,
954,931,520,951,274,095,613,834,599,300,595,568,796,608,275,338,918,914,333,
901,560,495,519,684,267,141,780,448,779,121,807,931,060,568,674,756,900,015,
093,457,989,144,067,861,887,552,914,975,474,143,295,231,697,752,043,711,670,
276,541,318,736,658,439,394,975,217,579,879,665,250,538,782,850,047,634,520,
681,286,881,744,683,114,428,590,474,074,720,491,164,824,521,220,816,676,169,
991,000,704,152,138,542,541,968,136,069,681,774,109,253,706,050,413,100,405,
676,946,595,278,098,512,593,646,304,582,608,017,788,884,679,378,631,387,235,
032,322,739,182,038,432,887,841,171,996,839,887,586,485,425,881,286,794,577,
005,862,682,398,172,711,116,199,534,247,859,455,041,175,523,734,020,725,082,
897,252,977,240,820,156,033,138,051,302,779,734,763,945,273,955,086,283,685,
858,767,951,281,142,347,270,078,032,523,599,272,261,224,796,879,496,665,765,
342,812,570,722,191,117,687,616,966,683,171,878,226,661,194,794,319,814,860,
302,558,837,118,433,995,332,454,366,100,972,425,212,864,580,146,102,703,254,
445,459,479,579,938,725,438,542,607,261,336,289,915,517,910,226,787,055,263,
930,006,797,534,883,761,572,602,583,528,554,218,341,978,725,824,873,796,304,
677,439,856,321,401,255,171,456,562,369,496,701,931,326,923,642,631,635,927,
793,601,360,760,729,780,070,337,594,978,808,485,385,266,174,569,658,643,377,
769,830,916,222,445,462,532,945,698,543,479,117,495,808,666,088,829,769,264,
433,291,000,291,674,785,340,958,301,046,442,092,824,008,842,728,337,742,480,
550,211,931,179,591,861,825,952,706,656,332,049,374,947,610,471,985,773,576,
390,616,264,877,547,366,096,705,198,463,460,673,055,559,964,415,105,162,702,
724,427,079,261,994,078,990,666,047,492,745,419,890,775,361,730,180,171,673,
595,991,065,085,401,248,504,679,028,554,265,401,337,611,318,725,149,118,143,
605,418,347,663,386,113,419,815,324,533,352,286,303,598,883,124,935,051,195,
426,684,543,048,696,160,754,588,917,132,912,212,768,087,401,768,742,032,770,
037,832,482,799,356,875,978,163,767,316,479,130,611,447,158,155,447,895,193,
037,352,082,321,403,431,935,818,343,673,108,564,274,990,893,727,270,304,838,
531,752,077,263,824,268,813,590,168,358,674,780,091,486,761,427,252,282,618,
722,882,827,922,835,338,948,069,522,831,209,312,240,096,346,361,769,711,022,
337,702,172,282,727,476,661,651,380,010,572,766,818,938,401,082,325,961,669,
684,277,632,655,652,401,476,356,194,276,523,990,381,252,128,499,566,665,094,
557,407,934,490,192,217,637,911,769,526,723,542,482,391,923,096,349,130,034,
451,772,142,651,058,793,175,272,540,389,505,408,597,730,680,799,141,991,616,
644,874,119,540,047,623,405,527,780,793,727,503,270,624,974,376,952,091,989,
317,750,932,325,389,803,891,113,377,818,746,119,859,626,955,779,259,208,788,
905,852,649,086,154,104,079,574,586,889,093,644,304,553,161,435,211,952,246,
294,566,906,006,027,070,287,009,589,735,408,681,869,240,963,952,742,046,901,
100,229,141,955,534,387,398,574,115,240,667,333,886,873,031,704,521,516,478,
818,859,043,016,148,922,467,678,610,137,550,059,435,242,118,406,505,595,391,
367,094,804,057,023,010,043,137,087,131,061,315,626,599,969,829,534,581,159,
636,827,273,670,292,464,784,865,324,551,698,011,304,560,182,121,851,597,859,
489,844,976,521,737,331,714,326,419,131,925,758,575,614,717,458,504,458,886,
862,042,930,901,607,333,507,048,911,299,840,289,930,837,044,040,101,308,761,
461,418,468,486,388,907,883,346,004,849,108,434,961,572,875,003,807,557,753,
084,104,470,002,471,590,047,256,501,464,371,115,384,857,543,544,554,016,279,
074,605,028,144,687,484,454,317,302,623,695,641,671,038,347,005,827,676,470,
018,137,113,170,826,308,660,299,097,805,768,284,186,103,145,372,953,383,647,
572,882,849,030,316,225,738,565,867,057,243,074,030,335,783,623,032,855,923,
816,773,660,828,355,380,210,609,967,075,565,654,619,527,580,408,631,846,845,
804,505,980,642,000,143,241,160,091,522,452,797,823,918,716,242,264,579,248,
703,807,725,236,870,620,715,331,613,086,338,090,391,954,303,763,187,225,747,
046,936,330,458,763,407,187,826,061,964,277,330,100,401,955,016,329,597,754,
686,534,311,908,880,209,420,195,391,543,144,890,449,505,559,383,631,819,878,
442,623,397,180,258,697,859,074,895,116,648,730,288,643,568,729,915,556,209,
688,595,707,077,256,759,415,409,351,869,828,707,808,161,549,638,064,633,277,
600,040,171,128,019,163,517,529,496,238,300,787,048,144,889,253,711,150,772,
262,071,631,875,118,543,669,525,235,133,378,939,703,090,635,234,935,809,134,
917,089,477,937,109,579,261,449,633,331,601,394,137,368,167,662,574,599,658,
137,514,393,607,591,307,847,902,330,238,124,855,194,212,522,868,257,690,527,
998,794,678,763,430,029,899,589,907,875,480,107,824,345,214,237,380,806,567,
618,411,088,740,886,811,439,651,151,855,103,476,013,761,805,551,550,801,659,
853,391,279,042,425,123,220,751,785,220,630,379,506,055,486,147,587,574,447,
381,914,661,662,906,093,461,237,259,952,151,461,765,556,374,257,305,695,422,
013,923,984,687,217,342,541,060,014,347,730,224,382,926,500,233,543,567,401,
579,861,576,771,184,204,961,714,330,107,911,074,096,729,759,954,298,069,115,
104,838,780,227,071,592,930,169,133,191,351,343,216,854,840,717,741,458,912,
106,661,624,636,708,612,118,626,130,899,786,328,905,062,966,733,804,945,326,
380,935,172,844,305,438,716,421,368,769,821,886,749,816,580,454,198,960,297,
975,426,929,256,754,436,123,829,800,627,120,128,175,529,381,501,654,632,804,
869,970,869,479,611,060,284,202,705,622,761,265,362,710,017,320,884,094,856,
890,405,797,950,202,710,104,459,571,159,452,832,549,509,122,356,560,257,142,
554,942,662,789,606,881,342,965,555,115,431,786,926,987,613,865,091,832,963,
111,238,753,187,998,631,536,513,509,996,275,585,382,124,684,301,498,817,281,
896,844,239,917,916,072,136,677,050,730,934,864,807,179,965,060,777,863,743,
208,544,544,634,958,661,220,703,359,490,639,058,225,163,003,036,612,158,457,
914,420,930,821,948,503,169,764,806,185,315,260,150,600,944,368,208,457,613,
310,390,093,815,074,683,325,793,351,630,198,700,284,931,252,387,905,830,830,
374,666,088,482,039,079,666,587,498,250,002,462,557,772,078,367,668,449,967,
421,734,312,267,688,104,695,512,372,716,982,326,907,094,746,345,100,265,172,
642,284,272,707,509,099,521,342,738,611,021,427,976,688,332,920,821,630,000,
630,223,081,036,773,901,708,666,454,469,415,342,547,978,617,297,320,093,042,
366,724,280,429,904,068,913,644,257,223,343,924,538,909,735,318,282,771,569,
455,192,117,300,230,068,700,724,737,958,990,134,204,497,505,657,406,065,155,
970,814,377,732,586,223,584,062,436,414,659,108,480,284,883,770,916,325,780,
768,598,335,645,549,965,315,031,491,585,692,466,980,910,118,208,200,011,956,
240,384,468,479,611,588,702,740,287,477,381,674,808,420,339,102,364,847,472,
479,816,328,065,133,176,436,512,388,346,484,996,571,589,060,311,771,125,834,
820,596,527,324,792,191,059,775,768,192,195,692,939,139,469,122,131,250,962,
427,671,575,722,651,970,648,383,786,703,372,742,980,160,187,237,203,949,248,
310,825,812,100,064,394,939,483,404,248,585,069,190,558,349,152,692,971,270,
038,380,573,176,451,264,496,741,820,661,865,833,069,763,552,794,349,663,241,
561,850,120,079,062,228,472,445,129,474,164,273,764,165,204,972,665,746,345,
737,524,806,667,302,832,476,126,950,439,469,757,826,544,509,208,758,231,185,
305,993,238,896,779,595,307,425,493,053,240,031,198,441,266,825,960,481,018,
521,941,080,536,838,660,218,287,299,493,326,097,472,833,268,310,176,825,415,
982,304,912,277,324,456,599,333,985,556,408,321,616,083,800,720,758,750,765,
694,572,392,443,821,363,310,889,496,787,800,408,640,026,636,464,503,656,878,
996,656,441,220,493,311,885,021,195,112,376,715,258,890,162,484,407,576,212,
897,295,670,427,267,403,687,558,854,628,522,190,675,146,463,064,386,530,243,
671,875,049,985,548,651,196,208,697,343,759,525,876,196,601,482,836,780,585,
231,914,297,250,935,856,421,265,135,460,080,307,052,053,671,378,911,555,303,
787,616,680,702,015,529,361,323,605,536,773,481,285,494,908,936,895,739,756,
416,245,630,050,325,172,379,201,187,137,961,347,791,648,444,352,881,457,440,
531,397,395,536,467,496,880,331,316,428,435,561,622,467,176,863,931,046,083,
153,948,529,843,263,655,583,256,432,259,815,776,941,010,766,156,261,076,484,
950,199,004,335,968,243,577,752,752,347,066,123,000,779,387,677,676,745,828,
402,902,349,301,295,935,174,004,866,509,015,849,728,716,139,228,821,676,101,
757,962,430,516,454,096,196,751,143,507,485,997,889,687,841,772,715,375,970,
821,906,606,348,672,864,346,784,965,768,777,663,009,409,331,240,745,600,628,
765,193,935,426,713,665,006,605,581,161,844,474,032,637,782,856,326,394,290,
720,940,301,531,194,759,578,157,577,228,760,148,778,663,528,583,160,916,159,
759,436,271,946,319,465,800,224,474,212,133,962,304,750,241,892,324,469,063,
380,073,167,319,410,087,747,054,292,012,819,417,943,198,116,831,579,566,144,
004,754,915,492,782,456,199,669,671,109,413,338,501,277,079,136,188,128,139,
203,956,054,880,317,253,285,738,433,378,313,707,969,704,863,786,610,381,128,
036,767,334,007,415,741,746,484,155,444,419,887,159,078,468,533,376,007,671,
452,854,206,276,441,607,904,795,067,416,916,528,982,172,005,404,702,768,711,
349,691,157,406,345,903,235,093,960,907,060,648,994,082,818,627,059,288,355,
059,452,525,560,631,449,331,624,421,211,450,032,716,087,751,805,853,656,947,
651,847,066,673,617,620,599,013,837,195,390,284,178,396,891,093,888,077,001,
209,525,253,547,806,476,087,268,343,181,239,808,965,950,812,144,707,513,602,
754,994,695,569,986,294,729,321,925,761,038,930,577,493,216,819,299,876,053,
324,279,381,596,141,154,706,242,278,889,951,394,799,614,343,889,552,267,979,
163,435,844,058,321,279,721,170,384,661,329,290,570,783,393,235,078,471,869,
487,961,902,375,877,056,298,620,731,290,881,045,698,519,073,731,893,698,636,
560,983,212,499,173,610,374,461,569,891,360,381,305,255,734,501,432,481,056,
468,528,441,411,650,806,120,210,595,141,942,313,251,051,591,249,324,360,063,
806,566,761,099,617,297,526,051,117,444,399,058,171,376,047,785,398,313,157,
751,587,364,481,940,112,411,838,405,695,524,121,625,733,187,706,009,059,483,
615,900,454,172,324,359,498,310,344,270,540,191,932,030,703,746,843,265,972,
136,327,381,379,477,643,914,166,779,090,571,268,196,256,096,607,475,134,356,
086,319,964,473,452,456,317,602,958,157,492,729,329,919,561,759,878,666,494,
812,339,385,420,094,664,184,378,558,736,367,542,703,693,262,440,558,725,109,
729,684,662,979,196,596,340,329,899,118,082,966,793,473,714,724,149,221,970,
527,361,503,520,822,466,548,036,538,958,454,851,033,403,840,007,050,439,735,
449,272,141,809,365,116,663,546,907,775,482,939,050,260,086,773,877,270,747,
145,346,116,078,877,891,332,236,599,030,269,777,987,228,959,851,537,358,819,
062,150,491,281,805,473,867,672,864,060,742,237,338,727,981,559,880,783,615,
704,889,725,006,719,531,651,465,683,297,099,589,953,737,434,065,111,357,942,
177,433,468,894,759,689,248,924,138,183,541,588,091,510,867,397,583,762,006,
322,449,556,037,061,298,411,197,026,639,272,171,850,885,734,426,635,645,416,
955,343,687,518,373,885,981,777,373,242,530,007,150,746,423,369,511,654,053,
959,637,661,419,585,339,511,625,433,184,008,912,876,481,496,890,602,941,129,
743,857,050,920,677,341,872,712,116,471,624,294,245,346,952,901,142,005,413,
864,412,025,991,913,239,094,929,542,287,293,522,472,383,857,807,169,677,659,
329,816,499,177,843,599,781,003,571,535,404,376,755,573,185,606,169,890,926,
346,447,324,585,719,238,953,900,768,732,912,315,516,441,859,817,062,520,029,
011,425,268,201,867,567,537,606,599,898,092,336,747,799,206,845,346,488,398,
329,400,854,076,036,948,494,296,220,449,308,114,716,430,322,240,881,856,525,
801,469,712,277,169,216,925,779,658,270,144,107,575,122,718,935,806,611,464,
594,534,496,379,011,046,499,748,191,595,244,964,515,357,905,199,083,050,564,
298,922,977,101,970,052,001,741,410,647,021,108,727,155,673,224,519,534,687,
130,093,068,849,437,747,382,092,712,950,982,391,457,051,303,529,493,913,972,
283,039,942,168,780,764,390,366,330,546,169,499,704,635,198,694,970,520,715,
559,689,579,448,960,586,391,185,760,985,586,639,470,268,334,912,682,873,535,
656,255,285,893,343,488,026,691,675,199,755,821,988,286,413,427,283,097,728,
676,877,993,009,215,198,796,380,949,131,380,068,901,920,835,498,603,948,759,
327,662,829,875,568,675,520,500,007,465,134,551,781,881,254,179,922,030,839,
703,169,524,135,722,379,084,122,578,244,990,792,763,239,078,468,841,611,300,
681,575,715,026,356,362,509,988,724,241,476,157,114,487,215,326,253,944,059,
320,754,072,867,805,389,154,952,665,885,019,045,363,662,957,419,068,371,037,
238,310,357,978,598,511,811,455,413,199,894,222,402,489,958,055,438,267,912,
545,701,770,204,282,222,841,722,794,944,114,991,836,458,657,612,168,625,147,
163,934,866,231,558,776,266,928,793,128,732,264,828,806,845,653,884,981,096,
732,724,193,299,930,340,602,306,377,272,264,158,058,703,996,088,410,604,018,
679,649,436,917,795,402,954,046,416,380,237,299,337,020,281,178,579,125,302,
508,624,250,151,183,723,230,140,631,949,073,878,424,173,596,696,944,452,920,
849,117,117,071,254,519,492,637,128,609,183,500,453,130,326,112,383,251,841,
676,616,649,638,014,719,666,971,152,390,688,184,199,241,815,164,423,443,244,
851,576,994,578,199,622,556,437,859,173,004,828,494,157,366,272,685,340,530,
066,641,783,170,368,045,741,452,680,031,379,775,016,796,844,282,198,376,118,
643,438,327,652,822,061,302,066,881,533,818,614,451,004,953,266,730,835,463,
350,891,616,966,015,459,171,649,993,881,240,185,534,838,353,975,011,046,811,
346,062,185,764,156,472,004,334,363,782,992,257,194,707,331,977,172,892,974,
522,042,288,396,867,363,828,042,523,244,224,340,357,115,059,596,152,957,948,
885,959,192,015,557,506,280,466,416,009,229,519,332,755,038,352,401,253,279,
385,695,651,090,455,928,219,253,342,798,191,008,624,891,362,462,573,423,979,
521,365,641,383,931,686,818,991,310,198,187,884,725,327,922,485,914,756,551,
255,734,949,542,433,171,424,515,066,874,348,370,370,759,631,584,493,675,740,
234,419,487,818,087,158,940,061,065,944,528,552,888,215,615,982,592,011,036,
821,369,807,317,319,415,324,377,894,920,599,977,729,232,180,315,345,382,081,
210,413,557,503,753,891,108,889,533,792,788,023,790,481,990,071,545,039,921,
834,607,343,217,781,456,425,759,898,095,045,614,065,791,465,001,274,761,173,
388,405,822,038,333,718,532,271,263,611,726,589,070,470,232,800,831,929,553,
872,286,601,961,426,248,037,051,270,674,583,406,734,868,242,867,056,247,546,
884,863,988,861,708,966,457,461,279,856,952,741,645,978,308,245,228,519,251,
647,436,623,401,998,362,010,651,958,433,196,407,613,674,019,897,579,437,294,
301,592,137,356,703,454,233,759,774,181,387,310,462,015,811,000,642,137,983,
412,469,795,411,033,124,765,197,789,328,804,822,007,806,533,480,481,357,885,
536,702,507,626,736,923,189,349,066,895,419,326,891,776,319,394,390,181,555,
595,867,259,410,276,438,335,909,570,945,990,365,206,766,348,023,469,674,323,
618,269,231,203,561,347,430,779,784,043,376,790,348,186,101,502,875,983,876,
634,320,859,701,779,921,660,432,856,762,374,808,600,394,655,770,455,411,979,
241,166,500,733,626,365,075,600,985,614,469,096,790,858,588,586,968,096,513,
447,487,607,819,742,019,867,202,589,373,672,934,831,389,751,162,368,794,864,
322,710,430,879,193,882,142,641,137,255,899,751,626,596,688,274,850,250,647,
984,094,276,131,536,787,832,654,616,312,759,595,765,698,810,828,141,707,074,
456,946,957,616,543,697,849,197,887,113,755,666,150,176,518,037,534,496,734,
553,140,157,556,353,802,611,341,884,368,536,148,046,185,695,685,362,503,604,
524,417,068,957,830,218,490,188,793,346,698,790,370,743,239,407,204,101,928,
124,496,532,506,311,360,920,469,737,913,852,652,291,273,795,108,359,615,849,
411,701,690,161,375,016,169,220,227,688,347,630,838,330,428,117,603,972,683,
763,526,511,621,928,561,935,694,859,620,967,640,394,662,386,719,427,889,744,
635,688,111,394,096,053,974,106,079,596,857,185,925,211,609,947,434,395,025,
429,125,849,810,072,580,614,581,273,292,016,816,833,833,460,973,596,458,775,
949,411,163,280,913,881,192,141,629,624,665,068,581,106,516,376,765,451,623,
102,330,568,497,115,731,390,265,723,678,379,729,185,891,980,282,342,975,417,
734,062,468,871,607,320,562,162,625,787,301,505,826,877,684,666,701,707,845,
066,208,705,112,161,286,450,117,739,195,567,140,050,789,845,073,091,979,213,
862,040,949,615,575,915,418,321,034,730,720,877,483,565,070,806,232,465,164,
902,388,365,670,640,426,715,833,981,215,310,929,247,423,619,903,776,465,038,
409,573,682,928,906,677,240,977,798,320,211,595,691,394,992,616,630,353,660,
391,737,750,646,094,826,948,399,137,566,057,009,242,864,694,122,607,216,937,
135,448,387,751,010,405,487,726,675,663,965,128,993,626,314,244,009,478,791,
750,956,195,583,931,966,852,536,664,129,312,066,988,793,078,540,629,147,824,
271,259,970,453,876,115,263,333,382,709,064,697,540,618,658,896,874,774,915,
357,943,638,369,379,369,606,552,105,029,774,922,160,182,832,593,357,987,022,
015,097,932,345,254,733,315,856,938,197,149,156,820,236,422,690,175,917,879,
636,863,804,531,274,159,508,962,421,408,285,992,332,374,534,099,584,838,327,
568,155,533,969,672,792,483,379,511,383,904,414,851,822,509,825,018,819,636,
029,653,789,947,256,617,113,330,957,339,904,483,177,676,832,477,195,328,115,
293,726,759,481,425,392,565,265,173,308,485,969,602,688,336,731,751,494,104,
608,106,801,053,636,185,564,415,437,237,168,531,406,614,022,467,424,015,162,
966,701,520,530,098,297,329,431,786,547,805,454,020,627,589,887,100,953,699,
212,818,835,120,277,255,586,233,528,611,647,115,693,786,290,365,742,971,627,
461,812,146,091,596,581,189,526,490,938,885,803,621,756,563,823,961,942,349,
348,800,280,053,366,846,736,901,717,285,056,369,084,702,281,968,284,561,328,
707,476,845,344,553,634,365,115,973,542,456,115,309,877,285,965,077,320,487,
984,763,121,235,552,071,494,287,193,285,624,278,421,729,356,226,129,245,395,
591,144,377,460,184,939,231,803,383,058,500,663,098,139,126,423,978,583,305,
480,748,119,215,164,302,996,634,626,538,922,360,739,528,907,363,690,060,721,
445,408,213,246,130,528,869,219,596,414,001,224,598,061,766,211,578,011,100,
192,136,029,461,886,192,188,062,213,405,756,613,787,080,008,856,326,000,977,
108,938,390,448,520,117,058,859,322,148,510,168,288,603,928,408,216,714,003,
411,598,515,707,445,838,596,793,295,221,071,757,072,466,326,856,321,208,564,
419,375,764,009,483,424,137,644,825,066,498,311,171,035,928,601,364,930,630,
286,711,094,274,224,944,868,881,793,345,122,804,965,302,597,226,045,489,497,
607,174,436,089,980,256,745,918,162,276,422,172,773,689,764,448,649,097,518,
102,849,578,121,220,569,445,469,328,643,447,849,151,576,459,435,158,286,459,
886,556,818,654,601,538,891,752,562,860,262,312,989,717,909,317,532,465,619,
718,722,227,659,972,196,248,686,056,168,432,876,481,151,326,911,951,547,534,
774,451,116,946,351,501,588,948,451,297,702,581,699,735,511,797,693,160,924,
450,275,425,665,955,749,899,076,755,715,243,879,680,580,752,793,824,526,190,
996,332,156,374,693,860,385,828,402,282,805,659,806,774,609,836,241,346,474,
558,336,698,218,680,065,771,804,817,875,926,489,124,205,216,306,698,690,444,
471,163,502,388,154,360,266,657,508,871,598,474,136,041,069,330,368,573,484,
903,977,336,210,628,526,278,769,814,287,088,720,418,201,180,228,544,616,333,
164,513,930,384,809,947,383,536,944,759,506,594,407,657,517,148,533,283,916,
997,492,623,038,399,602,749,725,579,987,923,591,424,821,705,246,830,867,167,
651,325,895,035,491,000,034,304,382,192,847,155,680,775,061,634,938,875,191,
528,236,482,801,088,980,984,711,609,048,338,263,482,387,022,702,162,689,864,
113,827,536,131,747,488,609,315,977,817,170,584,441,533,103,405,951,857,087,
476,472,843,473,289,412,873,673,562,403,968,329,291,855,584,237,073,054,209,
079,589,303,976,028,879,612,768,115,769,937,528,184,700,384,182,856,510,449,
740,617,166,551,206,190,751,172,702,120,005,847,485,547,199,779,133,572,555,
912,817,885,376,146,366,625,585,568,419,691,786,799,309,482,803,990,325,732,
424,530,173,397,431,778,768,926,430,780,210,818,962,833,579,821,794,256,766,
853,592,987,630,957,635,948,022,334,429,983,742,350,150,447,121,644,875,125,
017,264,139,917,352,082,917,209,485,734,316,181,627,791,608,617,394,424,346,
145,780,297,937,677,281,687,792,794,045,863,710,024,857,896,706,076,040,024,
095,824,784,836,325,536,839,461,257,246,798,345,123,847,404,221,596,040,889,
240,856,190,392,712,498,347,015,564,409,030,251,255,027,572,386,167,335,361,
876,406,899,467,068,770,207,873,289,852,127,266,784,889,834,185,375,194,592,
949,998,838,915,243,866,338,454,438,658,234,566,319,300,440,787,423,863,869,
779,700,045,809,480,403,293,666,236,963,777,490,409,967,569,708,897,606,654,
432,248,628,942,469,027,566,201,088,776,355,019,153,326,400,198,777,808,139,
295,462,425,262,683,625,340,624,302,700,438,339,475,079,042,872,531,137,602,
272,187,386,414,888,471,560,380,913,019,863,551,749,796,450,812,370,544,915,
752,622,128,880,572,554,055,797,366,041,309,797,300,404,349,650,299,581,360,
210,006,202,680,621,906,504,520,509,647,774,430,414,781,721,368,058,476,751,
100,349,289,691,723,637,458,699,702,983,914,618,307,770,858,785,701,594,491,
265,271,177,222,031,640,444,457,716,446,006,787,572,180,404,408,726,985,326,
794,301,522,133,502,379,874,620,799,833,534,259,047,999,191,860,101,134,482,
283,195,045,639,342,680,184,519,372,268,769,432,280,787,031,174,194,408,742,
050,644,185,536,376,374,330,206,587,067,852,175,461,807,292,850,016,193,161,
193,693,263,943,430,646,649,913,636,851,271,645,457,818,333,964,688,130,368,
739,549,094,231,042,014,009,552,037,198,049,990,296,980,020,487,243,638,319,
564,009,493,200,439,230,775,784,987,746,418,828,911,156,903,027,278,422,478,
370,436,103,806,370,351,415,229,366,377,380,847,344,814,160,739,475,751,053,
835,631,268,093,959,848,230,304,677,941,431,630,822,564,269,008,896,717,125,
956,169,532,294,228,411,130,619,915,153,794,918,441,944,056,800,668,985,490,
309,260,668,792,496,963,951,767,992,732,743,995,460,899,386,061,932,840,052,
137,472,860,480,197,152,006,395,037,007,579,252,819,753,207,109,150,225,217,
656,821,687,456,996,965,336,335,130,685,404,874,169,691,092,455,441,608,947,
559,106,110,656,548,035,573,451,428,234,305,260,616,713,275,819,721,142,279,
121,441,949,281,413,569,588,475,068,798,954,278,159,178,259,808,529,313,815,
202,612,024,688,727,216,435,620,434,653,319,789,016,515,516,459,314,376,668,
394,190,871,511,255,191,196,070,369,509,121,709,833,521,502,114,061,393,033,
154,393,144,666,688,645,819,791,924,875,696,650,546,732,419,416,040,496,472,
663,403,875,985,884,025,992,702,125,991,567,844,663,215,040,871,456,661,957,
644,021,587,980,853,601,030,908,241,059,594,791,448,662,554,971,660,414,135,
971,950,847,301,727,056,334,708,605,517,133,946,040,093,979,470,376,877,338,
761,935,127,971,794,458,501,243,992,684,280,947,014,018,643,919,725,078,698,
019,642,995,567,082,665,394,449,245,317,387,055,402,876,834,134,931,062,162,
674,684,019,583,161,444,542,201,053,593,840,129,000,091,526,810,169,496,762,
446,497,100,657,517,856,040,199,103,403,099,816,446,565,474,913,676,223,244,
749,671,363,782,442,547,068,455,464,398,699,936,288,519,849,748,976,349,507,
950,090,397,814,468,090,614,199,287,378,653,634,231,556,476,568,467,907,587,
017,583,937,604,318,589,751,814,119,552,777,612,824,578,304,140,114,050,175,
680,387,039,119,118,787,058,749,227,348,477,094,260,167,895,254,316,765,817,
609,827,598,617,910,173,693,427,259,838,114,294,879,813,170,064,495,482,394,
681,572,103,198,339,033,981,162,536,827,982,377,872,124,197,712,017,623,577,
084,079,053,919,837,142,303,937,829,013,222,756,935,459,587,924,784,276,443,
187,173,756,452,555,081,100,645,292,678,516,971,844,687,442,023,289,314,998,
445,279,104,712,744,441,283,664,940,463,062,931,706,258,290,497,623,970,071,
488,405,814,314,390,367,066,795,851,257,818,933,013,955,419,561,503,783,119,
091,677,134,866,250,890,485,397,068,897,075,430,735,410,082,970,436,022,792,
862,706,443,338,229,330,798,839,990,330,660,377,033,970,732,026,642,192,266,
341,177,220,685,001,159,618,817,691,136,731,562,411,010,720,917,409,422,727,
930,846,228,680,294,247,833,761,582,803,522,468,361,785,419,281,593,024,625,
853,108,919,806,284,674,594,018,377,139,146,565,310,292,495,245,479,750,565,
764,625,445,032,573,154,144,065,499,793,728,682,603,745,145,996,216,402,176,
969,680,849,104,926,896,983,668,427,266,870,378,627,846,478,996,539,125,995,
401,265,908,240,710,222,738,171,575,518,992,491,381,233,324,725,722,688,458,
763,416,493,138,672,261,278,787,865,746,208,535,035,567,372,172,645,535,526,
988,205,164,939,750,898,877,608,182,175,600,676,406,681,146,837,087,997,838,
141,204,946,740,732,883,902,887,647,753,134,928,985,373,640,250,062,070,336,
642,485,211,049,235,460,692,968,947,744,818,345,147,862,613,188,910,361,967,
328,272,092,709,495,103,275,458,205,942,232,286,047,528,178,090,416,059,415,
296,680,989,862,099,952,203,303,643,321,191,107,786,110,703,301,448,947,182,
572,619,955,454,591,369,493,097,969,972,044,884,075,018,447,980,378,828,531,
904,359,602,488,906,855,550,209,308,913,965,565,540,976,693,156,307,815,006,
252,391,902,967,293,142,903,025,665,552,861,374,004,751,403,925,765,156,324,
135,872,813,893,100,664,646,360,676,036,294,187,141,331,665,089,772,609,828,
559,478,230,872,433,689,324,291,958,008,634,592,923,875,391,013,269,889,512,
706,626,013,987,371,211,054,093,869,969,665,460,638,276,869,384,028,431,839,
577,178,947,991,875,813,000,702,121,574,718,380,049,991,448,965,880,314,424,
182,297,514,485,701,542,335,138,562,790,928,826,287,894,985,838,912,441,715,
266,156,241,650,579,325,691,044,936,145,487,685,106,396,380,601,865,432,074,
492,396,424,490,583,026,874,541,805,768,778,539,024,602,409,054,570,017,903,
869,505,597,525,660,239,600,655,875,840,287,543,822,754,307,756,264,802,107,
053,536,549,818,796,146,138,123,371,071,478,109,192,777,121,281,861,370,429,
790,381,268,009,287,861,740,561,602,238,970,855,834,485,332,903,065,773,675,
165,508,878,706,735,182,247,109,522,393,836,273,409,580,753,624,378,009,097,
431,566,148,613,261,299,562,537,924,814,149,979,126,130,408,150,589,768,474,
944,537,103,443,480,350,694,235,036,064,078,580,122,040,719,591,181,427,197,
384,593,565,133,752,167,606,815,627,902,569,578,981,130,348,030,836,473,945,
691,962,570,254,513,698,830,136,304,632,095,092,366,179,124,996,657,373,354,
274,945,299,731,996,838,163,006,905,436,556,789,131,758,453,944,758,761,718,
212,907,350,511,623,689,439,210,319,071,025,493,738,165,594,462,628,371,109,
245,520,844,678,961,984,236,790,953,516,732,897,486,979,491,689,601,972,945,
404,413,396,313,527,271,944,701,846,776,997,164,773,409,824,011,764,027,595,
558,687,639,156,767,576,875,104,087,229,406,688,408,330,471,517,898,999,045,
680,948,133,133,165,058,300,238,562,961,744,219,110,928,303,026,641,536,456,
559,210,483,232,399,044,566,139,007,151,878,418,903,948,321,132,320,079,005,
090,180,118,381,298,655,661,569,861,710,753,293,726,462,913,749,320,531,726,
381,905,520,660,502,068,456,362,324,796,070,795,050,716,414,019,192,837,629,
604,270,911,304,631,301,450,821,753,744,788,407,851,001,281,512,659,205,768,
305,111,496,126,251,423,808,952,613,709,570,917,817,756,145,240,068,025,008,
777,479,253,087,010,694,400,696,395,226,523,900,381,177,072,027,478,611,686,
040,938,619,773,870,364,456,876,035,416,158,766,627,967,763,287,362,321,719,
434,214,518,531,703,948,406,474,639,683,689,817,490,705,578,829,204,990,604,
551,476,374,845,005,768,851,744,447,666,411,489,836,579,567,460,703,725,009,
504,304,632,680,861,130,609,491,484,544,135,326,311,008,460,533,507,389,697,
886,807,558,873,776,723,857,622,619,905,085,895,413,770,223,717,093,878,052,
856,516,402,349,913,535,176,629,418,067,028,057,802,322,765,914,383,981,731,
039,634,876,503,194,127,968,232,787,360,858,173,541,513,680,837,646,676,888,
809,918,644,851,223,864,313,742,966,858,310,238,867,498,209,614,821,874,410,
799,407,174,689,123,070,874,140,188,184,667,680,771,777,142,245,525,786,467,
571,646,163,886,511,505,652,910,451,476,851,074,998,943,274,107,012,692,446,
858,304,576,112,165,766,290,229,754,156,413,408,784,983,928,376,469,128,771,
430,820,991,280,558,744,144,410,845,649,650,951,892,996,305,303,309,122,307,
566,745,293,782,937,858,344,161,936,610,361,590,045,072,637,967,507,065,964,
857,153,125,776,344,114,850,545,815,040,243,090,959,305,189,533,979,303,017,
611,049,303,467,383,925,536,186,469,252,212,427,777,021,257,189,904,631,218,
439,902,964,061,605,427,099,847,916,930,319,070,075,997,037,887,668,802,699,
334,475,469,621,007,468,767,032,624,429,341,557,671,037,083,684,107,623,236,
482,329,500,868,128,151,370,398,300,380,550,084,128,944,443,456,958,267,501,
098,643,181,676,024,401,008,039,785,146,579,210,660,600,566,762,717,175,398,
777,349,017,234,771,883,618,350,034,102,817,937,660,101,441,178,627,511,473,
392,773,312,682,717,511,699,867,106,814,220,061,302,645,976,500,731,636,817,
718,687,818,436,802,753,532,554,695,260,450,906,980,436,570,386,466,721,317,
654,532,233,755,184,744,135,179,545,932,518,404,955,824,354,537,224,615,404,
431,970,452,767,361,172,795,058,469,095,305,728,327,818,842,380,263,317,509,
594,828,403,464,255,369,299,904,417,841,388,547,657,495,985,258,302,252,595,
283,661,805,705,390,758,904,331,112,289,022,892,657,541,142,762,935,799,638,
093,949,506,338,239,795,610,901,028,056,597,897,371,084,345,799,693,567,204,
766,773,116,500,069,241,422,374,460,663,121,322,405,757,677,181,713,039,060,
565,991,866,709,504,378,195,755,895,641,908,995,758,590,864,913,107,953,139,
673,313,381,972,266,205,704,328,225,990,132,461,714,489,765,176,844,767,225,
398,412,419,637,574,929,575,905,769,744,045,776,672,925,000,401,943,026,315,
095,273,541,135,802,128,509,857,529,667,220,850,653,735,375,706,804,499,582,
376,516,774,509,687,315,942,865,078,972,681,085,082,510,704,227,309,107,827,
499,385,309,404,107,671,474,627,411,895,147,799,390,081,503,671,002,837,040,
673,517,946,182,195,787,555,046,813,045,106,746,059,277,644,579,242,918,851,
298,964,042,634,740,845,074,277,561,884,775,750,314,025,596,471,918,380,473,
477,424,531,294,893,689,295,183,822,146,303,510,104,420,824,894,886,626,548,
772,023,936,718,590,923,912,914,448,494,939,973,173,375,562,217,663,602,096,
564,051,877,419,942,582,046,369,596,871,487,660,162,848,477,892,002,339,468,
106,175,968,547,228,571,803,509,902,170,220,101,863,234,168,512,288,712,308,
583,249,132,002,620,341,083,813,968,391,674,757,061,907,737,113,665,813,300,
589,661,143,377,541,832,682,056,179,019,085,039,810,492,448,992,133,138,509,
832,072,911,261,201,375,825,902,114,683,177,440,484,583,483,875,425,253,758,
348,184,441,158,260,060,209,736,620,870,302,369,611,296,580,366,334,669,915,
107,464,288,637,363,965,981,992,948,974,974,591,254,205,748,454,414,942,287,
913,835,835,755,095,872,747,435,862,536,068,078,795,908,055,202,979,333,667,
414,306,951,260,005,914,724,931,914,935,341,685,530,751,755,251,781,701,997,
716,760,551,639,261,286,797,841,292,214,324,338,188,101,688,844,330,087,433,
573,092,220,261,373,870,137,128,660,798,119,168,589,800,064,782,505,452,377,
527,345,062,764,002,734,215,387,000,000,160,091,323,995,172,756,271,231,436,
825,189,128,005,297,929,385,962,836,356,795,634,606,194,865,843,082,125,243,
131,577,791,991,240,314,760,296,459,280,606,338,973,161,226,394,170,302,364,
611,573,592,589,756,829,831,144,564,133,609,408,151,237,775,047,009,981,744,
830,300,726,865,413,486,743,955,845,988,208,488,512,881,872,282,396,091,453,
993,640,409,857,244,355,964,107,359,917,452,248,247,239,479,574,534,391,558,
223,352,045,100,929,301,978,364,289,525,962,478,145,573,879,611,597,760,728,
989,939,263,516,023,912,218,999,119,393,211,970,739,221,313,568,281,481,384,
604,850,678,981,814,847,117,561,207,793,906,198,121,330,638,003,123,886,108,
514,080,809,676,786,204,425,179,950,676,301,941,268,638,404,539,350,098,968,
780,309,276,925,891,893,455,516,776,935,871,340,743,126,770,381,020,105,552,
982,283,357,936,141,461,361,294,240,564,213,660,019,749,604,535,017,139,842,
921,476,496,990,403,969,265,991,234,607,164,197,305,597,145,099,099,955,256,
346,678,821,015,767,581,687,441,591,062,199,303,689,050,811,409,400,336,311,
807,848,284,502,210,035,238,112,338,999,907,983,092,795,947,765,050,990,337,
582,958,678,502,454,313,513,155,150,484,743,026,886,393,191,210,449,989,243,
173,266,072,827,195,430,662,736,213,742,193,720,015,333,372,521,708,906,359,
160,700,179,654,759,472,695,092,561,774,196,865,021,601,343,884,321,528,756,
269,406,332,457,650,290,509,366,693,805,945,226,641,987,755,294,606,552,423,
555,675,734,392,259,428,903,186,269,481,508,523,272,526,999,426,515,676,211,
269,219,862,379,941,197,348,394,475,143,238,021,172,768,963,092,046,670,516,
876,907,190,189,627,948,805,998,981,491,436,113,819,231,094,444,544,086,220,
582,797,982,898,253,188,674,797,775,581,844,616,990,614,516,313,058,253,426,
197,659,673,069,904,774,608,087,166,421,631,038,569,726,849,055,178,360,286,
210,190,136,938,740,670,870,023,368,074,265,084,023,735,818,941,523,228,486,
364,926,759,765,990,372,731,113,424,233,895,572,370,810,009,202,562,917,479,
016,697,982,855,616,389,417,206,252,005,588,686,448,885,145,491,586,236,555,
960,583,257,566,043,319,688,855,874,147,554,740,373,473,558,802,474,384,814,
112,422,380,280,692,421,268,251,818,467,233,973,482,292,701,198,175,236,970,
147,203,876,971,844,856,602,963,185,908,482,813,719,237,196,042,967,075,506,
970,245,711,761,086,755,046,474,386,171,429,645,838,634,190,748,156,757,568,
637,928,465,977,833,378,981,078,953,389,277,799,116,739,666,179,315,518,684,
879,110,079,212,747,380,251,265,548,780,939,315,667,644,139,924,752,877,785,
392,696,648,806,937,107,575,583,447,708,739,206,915,176,187,286,460,978,718,
429,988,247,133,870,343,812,139,013,575,765,032,866,922,325,179,817,221,364,
687,695,640,244,789,233,574,292,342,269,932,933,446,912,179,125,662,655,696,
796,161,278,916,267,276,719,982,735,422,440,436,242,406,961,217,497,874,359,
344,166,412,469,969,473,961,435,967,744,597,441,969,928,313,932,459,625,787,
852,555,714,652,593,199,459,192,238,082,622,904,613,038,816,239,797,298,238,
824,312,320,943,240,110,195,941,626,469,094,406,886,575,368,677,424,488,457,
972,303,922,473,988,727,581,824,108,370,998,652,320,816,711,731,781,971,467,
073,416,032,666,740,919,834,799,346,157,265,739,775,694,006,031,563,110,948,
840,933,137,450,358,976,345,995,967,689,798,547,683,578,370,193,880,607,990,
343,534,039,001,259,643,174,698,478,900,997,991,185,680,809,483,341,550,150,
480,366,264,935,980,203,854,622,050,830,675,313,129,854,269,942,654,493,217,
386,868,843,798,335,933,505,620,120,032,130,184,097,683,548,817,883,729,724,
378,500,866,319,810,730,803,902,642,189,826,196,730,616,609,174,380,556,348,
763,536,004,683,366,106,013,699,591,991,503,610,367,668,587,812,906,011,387,
567,484,389,213,499,205,549,975,828,431,030,799,043,101,104,291,079,817,966,
215,508,003,902,175,479,900,454,126,795,864,794,926,180,749,445,463,570,605,
885,913,886,682,593,232,385,823,696,516,440,396,264,614,996,340,306,508,576,
707,767,840,750,458,775,661,747,794,721,229,327,623,429,277,311,609,256,789,
067,480,046,520,547,585,731,843,831,104,228,861,410,335,600,598,161,068,748,
098,932,161,988,680,778,543,144,445,242,056,375,953,620,128,616,532,459,295,
824,390,473,983,934,970,516,657,442,922,190,945,775,048,185,641,816,859,137,
056,087,745,219,138,876,678,678,814,562,016,549,890,793,113,455,342,181,982,
335,799,055,924,044,138,729,420,657,683,884,947,473,353,159,272,166,745,586,
783,606,488,061,494,185,191,992,860,842,970,548,153,419,314,776,969,227,149,
755,434,871,465,085,125,824,046,784,084,152,405,323,305,279,703,600,688,782,
133,754,765,922,461,096,886,799,010,126,839,284,771,563,863,413,430,631,513,
472,055,012,350,379,449,316,931,625,943,671,140,686,506,043,887,974,015,202,
201,079,461,249,872,962,246,579,634,419,965,085,442,361,099,678,391,473,151,
591,951,276,100,869,563,888,870,334,894,871,224,506,603,968,808,908,966,471,
799,588,032,266,896,556,322,428,127,641,335,203,185,283,983,727,728,542,670,
116,830,148,703,759,157,347,214,363,290,684,710,511,589,043,336,149,076,462,
500,136,352,843,739,902,923,412,566,277,155,038,578,597,310,519,400,219,858,
247,371,323,074,329,766,022,414,557,804,582,823,265,602,512,303,867,007,533,
036,695,445,948,705,328,297,978,112,901,525,147,992,570,506,217,673,508,680,
799,036,275,692,721,363,804,474,320,247,525,715,928,856,584,278,040,103,716,
814,461,743,584,490,786,478,537,664,508,223,602,745,940,799,623,350,645,443,
100,769,680,389,340,734,082,292,471,783,470,429,883,175,155,156,696,834,885,
045,098,315,083,865,747,973,005,855,923,264,746,230,487,892,492,504,377,774,
330,777,066,483,133,614,577,692,767,612,942,958,711,284,872,452,122,566,480,
457,040,464,667,524,058,712,979,832,073,048,606,293,176,125,401,696,422,780,
905,174,739,600,096,153,568,843,739,354,288,350,857,779,900,339,419,491,808,
029,483,217,331,117,812,671,906,946,355,653,363,466,249,686,682,195,183,270,
284,564,378,616,923,132,460,970,365,018,876,951,127,124,687,447,473,958,092,
510,863,638,288,324,547,566,362,114,772,604,519,223,755,488,328,261,478,557,
022,992,507,091,167,510,849,514,000,328,431,740,153,315,160,522,480,338,150,
353,830,769,920,006,074,675,776,831,970,223,540,484,634,041,420,826,293,269,
397,173,664,803,125,147,670,507,338,042,893,606,549,226,325,401,148,666,643,
758,464,207,374,632,815,139,606,907,492,269,537,048,541,524,829,645,511,842,
608,832,617,624,444,909,602,782,472,670,975,570,965,600,170,233,582,877,691,
284,235,764,522,022,372,065,512,226,848,488,724,310,484,016,790,073,349,883,
197,674,139,187,586,463,152,496,250,579,379,983,830,620,352,523,349,852,984,
267,761,068,591,697,926,738,159,087,961,092,058,894,619,950,307,004,612,349,
950,253,307,239,496,393,006,582,386,294,729,308,078,924,941,570,559,374,125,
198,582,304,140,943,691,217,371,005,183,067,966,685,056,539,724,171,782,498,
321,223,620,234,150,396,844,157,780,275,920,254,872,354,070,462,718,055,819,
764,608,328,633,848,436,150,510,130,523,789,536,582,666,035,769,439,002,111,
620,025,551,051,841,359,012,523,396,097,380,166,964,364,939,978,317,985,737,
454,391,355,455,586,675,110,886,408,527,765,406,175,951,271,569,686,450,263,
657,914,700,852,551,266,281,597,447,000,571,526,509,776,083,280,346,710,622,
752,849,628,253,361,840,919,502,592,909,230,348,428,138,654,183,377,454,960,
250,098,432,504,446,525,239,236,284,934,914,304,488,043,675,133,351,124,167,
321,700,218,037,752,576,296,992,579,870,718,839,966,209,856,580,329,440,904,
625,174,695,022,923,510,734,088,589,406,675,739,834,240,705,702,645,560,729,
527,800,208,271,006,932,432,851,674,305,947,288,188,607,392,078,574,693,050,
110,638,429,154,053,768,928,125,008,792,850,709,738,385,407,393,748,544,322,
032,016,815,489,654,756,445,205,263,118,138,278,085,600,826,086,817,894,124,
891,644,312,082,521,037,421,634,807,620,097,784,263,459,696,026,686,615,988,
879,046,176,513,145,389,018,087,285,842,506,454,297,721,404,967,866,712,548,
865,782,283,854,684,210,201,874,006,365,447,652,291,385,085,192,991,696,824,
896,187,055,363,936,554,223,506,048,165,411,784,768,966,474,137,702,037,980,
836,026,463,154,258,138,346,904,702,945,263,816,751,996,314,984,891,619,290,
147,414,644,745,999,169,051,595,231,330,231,022,881,709,117,698,072,154,780,
698,881,226,603,642,479,229,869,787,085,566,802,841,687,261,695,657,085,251,
112,725,325,402,922,628,133,107,589,858,034,704,943,097,032,239,066,901,086,
500,799,065,153,437,935,515,345,117,040,534,102,096,730,410,395,114,327,969,
886,132,011,592,444,706,665,357,978,072,226,349,840,900,217,484,062,119,239,
708,232,400,668,191,028,903,999,434,536,763,887,801,785,669,745,850,463,006,
800,007,692,697,138,724,118,963,689,741,354,119,651,364,180,754,217,606,043,
132,267,023,650,977,799,864,543,302,765,142,714,229,007,521,112,758,342,304,
471,324,004,227,195,321,330,062,759,633,241,118,540,445,279,078,800,728,869,
654,972,843,112,375,211,828,365,312,423,347,252,239,212,538,801,580,583,087,
683,026,407,704,501,777,824,214,457,048,447,954,755,983,052,191,555,292,670,
640,455,027,664,648,473,149,097,922,308,092,760,197,701,129,010,371,788,037,
231,058,737,188,621,981,885,531,747,154,834,311,168,586,026,186,057,710,760,
505,028,063,079,120,872,200,626,945,664,873,740,533,257,323,157,574,615,104,
010,825,025,977,656,047,965,197,231,714,857,766,991,581,730,343,534,986,229,
534,893,445,800,610,516,226,805,600,136,236,304,525,679,221,522,645,973,799,
926,159,118,110,064,069,545,724,689,290,578,558,398,079,392,897,240,989,936,
538,004,998,387,459,693,467,899,001,155,550,454,677,651,613,918,415,539,342,
756,607,237,203,486,313,540,976,805,370,083,552,281,126,264,233,277,912,529,
499,287,069,183,492,448,866,479,955,027,895,623,890,839,304,239,711,796,571,
178,718,897,510,776,032,350,923,171,343,211,153,268,363,655,074,639,896,887,
761,128,186,862,146,873,681,523,127,947,323,706,781,462,318,760,673,418,748,
514,050,097,115,416,606,255,560,709,522,112,232,391,197,825,483,304,830,846,
958,016,478,398,639,827,139,513,983,549,898,688,858,447,760,983,569,100,992,
262,698,260,820,134,293,576,037,178,174,644,007,629,032,479,782,065,321,858,
712,678,550,153,383,240,964,964,917,738,210,350,774,498,870,098,570,009,530,
557,362,614,979,846,133,128,802,451,869,399,284,997,343,713,854,526,774,572,
441,015,949,003,714,439,874,800,036,574,363,559,932,988,619,942,819,366,893,
371,853,669,615,008,612,308,606,658,746,973,395,585,227,229,072,454,608,815,
273,522,468,015,042,649,755,933,799,347,459,354,497,598,160,249,495,019,605,
928,643,982,702,074,618,081,847,169,310,779,199,851,207,544,942,053,933,381,
721,501,135,928,096,625,213,679,507,992,702,150,893,883,708,614,970,324,159,
118,144,493,977,207,133,169,732,390,083,559,658,498,542,580,116,211,951,011,
308,076,339,961,584,198,721,272,146,072,631,120,259,294,215,807,767,130,868,
390,700,050,681,640,378,887,173,773,991,060,530,163,226,861,005,269,432,568,
901,253,013,516,133,769,951,747,524,062,879,902,697,879,807,347,698,122,843,
695,439,002,461,617,607,378,095,265,376,775,740,381,431,104,378,026,860,225,
819,808,422,178,562,521,103,160,954,018,732,364,166,597,734,643,841,987,750,
151,845,734,932,364,699,081,503,330,868,833,465,820,136,671,310,618,836,197,
811,318,005,143,028,246,614,136,730,211,925,257,781,701,279,288,098,271,765,
337,607,624,673,706,706,482,159,869,118,440,147,056,147,361,322,261,278,716,
376,451,178,864,763,200,741,884,489,159,319,423,403,761,612,195,843,728,002,
792,185,353,505,760,494,270,359,107,018,026,969,609,585,742,427,612,526,311,
179,163,206,103,529,186,978,623,363,216,572,139,054,425,702,154,418,214,221,
951,104,471,220,810,717,992,960,426,166,942,733,428,084,606,707,551,880,975,
133,768,144,260,438,681,013,431,931,922,474,662,552,285,735,418,618,211,821,
319,177,018,673,945,214,973,771,245,784,435,292,426,882,760,903,540,541,447,
763,609,251,875,356,908,642,706,062,671,665,611,576,297,190,058,070,953,377,
048,284,971,737,263,347,907,386,176,746,867,656,072,822,797,715,221,466,036,
336,396,056,225,981,169,425,923,905,305,443,752,806,264,912,384,489,408,375,
074,609,545,101,505,280,121,920,474,680,098,395,804,928,287,019,490,185,133,
629,252,152,662,160,999,531,028,160,872,357,986,706,693,693,308,561,055,282,
959,645,325,262,116,790,438,211,600,367,530,655,403,855,307,741,669,822,329,
103,223,725,743,744,067,874,808,493,125,786,926,258,702,638,373,553,383,883,
955,890,419,216,266,105,652,798,122,422,452,211,316,707,788,748,942,880,752,
953,688,550,113,001,158,689,184,011,242,830,490,801,325,672,449,588,993,992,
041,656,247,779,751,674,699,366,503,622,503,423,256,203,790,687,212,285,786,
324,246,798,339,764,489,521,869,321,654,668,728,304,575,799,757,381,411,852,
111,594,970,932,408,583,062,721,985,748,908,756,344,261,618,586,446,973,036,
382,408,493,027,084,796,799,809,816,133,638,031,205,610,579,229,384,139,186,
825,644,477,101,806,254,409,289,161,901,152,331,592,050,313,710,138,001,468,
981,957,883,915,698,935,592,930,819,684,996,080,464,760,339,194,934,520,813,
124,323,894,707,467,122,384,172,676,332,812,852,353,190,918,140,649,008,405,
429,806,751,030,876,809,685,908,768,528,751,475,845,065,561,133,001,228,317,
874,167,151,908,788,527,635,513,485,894,935,324,037,284,845,757,867,849,843,
484,195,434,336,962,702,978,084,648,389,596,575,374,135,338,884,293,202,998,
098,747,181,935,548,577,489,524,765,979,311,154,977,123,837,859,372,117,846,
686,483,368,028,154,910,208,915,201,680,673,286,964,881,542,143,066,311,711,
706,725,457,740,537,278,314,290,988,755,517,418,403,396,523,090,823,483,477,
062,072,641,961,394,476,743,066,621,925,194,135,582,552,717,544,102,261,837,
640,026,787,334,501,383,843,337,898,501,461,351,533,064,871,620,322,842,078,
664,259,233,138,386,481,332,795,956,763,135,894,173,553,315,795,210,953,277,
191,634,748,187,325,881,069,807,288,661,962,981,313,691,450,750,289,370,744,
382,032,777,376,708,684,403,711,077,050,762,860,675,499,846,650,904,763,872,
899,538,415,264,100,222,344,701,538,784,673,519,299,579,218,933,848,180,164,
337,446,521,868,866,742,331,876,584,659,706,099,952,555,404,139,072,809,964,
967,149,476,033,142,993,003,339,073,120,127,796,803,672,352,482,052,519,303,
390,452,380,941,791,080,226,532,065,219,583,224,304,980,349,876,890,779,591,
703,650,686,765,625,497,318,301,395,370,540,770,267,657,916,493,083,603,972,
211,661,011,432,808,004,665,166,450,850,566,573,307,539,600,156,151,835,946,
887,233,275,949,907,056,938,846,137,929,340,722,565,960,865,545,943,683,074,
842,100,615,480,132,802,365,062,116,261,928,421,162,282,507,348,644,676,991,
768,820,989,620,510,228,352,534,131,146,734,323,951,719,349,585,788,881,886,
068,710,356,059,240,072,028,779,601,681,330,257,103,518,662,064,128,846,331,
215,404,891,969,695,123,766,227,896,590,210,051,191,103,929,470,394,515,840,
875,579,697,569,305,956,465,549,554,645,241,870,170,935,807,411,396,486,761,
471,795,474,885,917,219,907,408,297,956,169,953,432,265,710,253,766,188,076,
449,613,259,896,947,002,570,126,341,654,274,737,436,849,212,077,358,206,260,
996,994,483,638,160,751,645,879,285,562,849,792,152,249,178,287,144,503,827,
402,144,321,906,194,082,053,918,280,082,496,332,183,181,635,956,440,080,513,
770,512,411,255,983,457,858,847,397,194,219,553,464,549,799,043,298,276,935,
782,521,890,861,352,425,402,315,521,738,073,958,726,003,337,967,831,746,782,
865,543,662,574,833,069,522,328,225,514,163,043,235,352,766,421,382,155,056,
544,106,810,407,050,117,930,233,956,275,730,859,977,971,842,650,460,529,563,
563,996,720,757,424,729,995,114,178,380,281,877,712,158,524,683,732,174,331,
390,578,907,918,487,424,454,604,961,770,800,801,566,848,487,340,470,821,679,
443,777,602,197,875,691,513,641,340,727,654,733,556,496,948,996,249,045,298,
160,647,625,192,844,823,252,132,718,215,060,170,950,321,758,041,239,121,201,
960,447,605,849,820,546,810,096,882,473,891,160,313,976,697,276,654,872,109,
028,260,457,130,792,778,839,806,899,997,373,442,903,205,086,920,351,974,725,
352,193,026,300,422,913,635,990,200,292,494,347,902,473,136,172,069,997,242,
533,390,648,996,823,087,029,632,106,391,847,686,400,062,073,966,658,891,238,
726,915,801,819,309,106,615,233,482,401,164,999,629,289,916,418,343,355,521,
854,664,602,468,016,283,367,829,530,053,018,721,096,999,077,330,573,034,625,
446,452,438,055,109,151,228,037,259,058,645,264,945,926,950,730,207,342,177,
141,492,754,958,402,939,419,190,852,681,941,380,130,262,844,796,218,786,990,
613,549,773,910,087,275,953,627,343,244,932,979,375,126,852,747,217,615,603,
564,197,176,135,370,257,837,924,906,486,766,779,638,622,489,993,190,847,065,
426,204,092,838,415,480,967,597,916,390,575,816,836,977,970,906,821,458,034,
909,897,015,761,138,064,102,434,099,823,537,320,729,781,667,806,755,064,787,
544,477,756,625,084,217,546,636,283,828,602,804,504,804,147,999,831,142,646,
761,417,634,991,477,260,586,989,060,677,155,434,999,517,900,121,493,649,659,
123,443,620,897,601,110,686,669,194,359,084,376,147,320,213,424,624,057,773,
837,255,507,468,524,829,008,099,925,127,121,208,917,240,171,343,887,560,135,
687,998,830,348,994,029,038,631,309,098,185,360,541,279,010,572,094,392,394,
769,578,060,084,368,753,385,546,185,726,654,190,590,606,132,732,437,280,758,
414,947,606,934,252,218,330,127,757,408,778,310,164,606,927,542,355,435,960,
831,850,183,777,506,103,302,911,832,671,342,172,212,461,442,142,628,471,759,
776,997,605,579,537,678,642,943,346,195,963,804,487,255,512,228,488,652,030,
117,626,529,020,828,924,868,768,234,043,738,889,347,868,881,071,402,774,632,
525,838,645,036,276,853,185,003,103,077,433,007,181,390,328,462,233,898,625,
872,554,228,047,061,552,182,590,486,411,829,176,701,034,710,613,328,459,826,
353,609,965,920,686,922,197,788,562,481,966,355,757,835,403,166,081,074,491,
487,875,070,924,848,453,011,007,140,086,932,087,658,910,952,604,323,046,270,
519,249,185,813,079,929,476,910,765,399,317,650,309,913,143,177,575,088,710,
211,858,346,148,263,096,414,047,997,424,815,806,527,462,762,629,398,009,616,
590,493,396,643,547,752,564,333,505,917,880,659,732,669,382,709,827,179,784,
841,215,522,911,040,274,316,844,126,267,359,261,780,824,042,039,891,992,109,
185,291,463,082,926,417,130,286,459,455,820,692,462,756,129,096,560,675,565,
638,392,663,710,701,130,669,542,602,682,692,207,863,770,016,855,489,238,451,
335,896,679,882,389,170,352,186,622,503,771,489,556,782,812,655,985,256,040,
521,883,305,585,846,688,843,943,730,353,429,584,255,463,549,851,884,229,685,
178,150,894,830,312,598,838,298,178,574,530,678,746,414,656,062,966,691,899,
156,462,748,492,386,672,156,267,188,525,475,331,544,684,700,733,526,962,784,
443,632,679,698,996,033,930,620,077,342,764,736,529,640,450,010,066,271,253,
724,615,840,650,546,982,907,008,169,020,204,945,454,349,144,245,493,392,298,
696,399,334,926,194,385,643,204,706,651,778,260,625,412,177,229,675,706,950,
659,087,737,774,761,982,023,332,733,930,361,453,848,751,945,549,860,242,858,
971,251,797,740,165,910,231,464,112,045,684,041,492,665,026,735,738,327,890,
872,684,531,908,259,709,120,101,151,377,572,740,909,299,586,831,669,457,169,
074,900,798,010,354,423,970,187,079,760,185,529,296,498,950,221,904,404,977,
716,548,249,611,310,251,976,742,355,912,853,926,857,597,846,106,199,857,682,
385,383,325,197,417,254,266,476,725,039,502,973,202,697,653,468,416,283,317,
078,354,769,342,859,080,711,864,336,908,297,434,137,870,568,450,033,853,179,
669,706,422,249,325,152,905,978,056,766,002,568,962,553,302,277,252,021,658,
550,458,897,738,163,171,525,649,642,279,341,387,610,258,252,069,760,510,394,
818,337,834,420,013,315,795,435,883,536,723,393,681,880,810,737,609,269,378,
891,824,701,149,670,166,667,813,733,839,188,207,728,513,644,780,569,373,760,
518,974,667,811,283,672,905,741,989,131,078,636,584,841,898,167,384,308,770,
482,403,811,826,147,770,095,906,213,955,639,822,341,030,588,046,285,514,121,
093,440,948,513,273,398,273,389,207,673,147,093,566,324,697,303,715,959,312,
336,227,201,723,028,475,685,956,074,125,457,368,673,208,714,708,484,847,306,
788,344,059,166,862,460,257,533,941,971,211,644,598,040,905,042,932,024,540,
613,357,268,044,055,127,858,800,279,451,687,360,624,716,479,845,307,932,710,
707,211,282,441,358,029,960,118,444,029,182,791,616,418,020,699,068,476,304,
053,689,936,984,495,902,080,161,659,795,649,386,970,140,194,383,043,435,995,
529,505,504,413,254,815,890,595,351,698,741,028,444,960,863,666,063,747,134,
150,637,344,948,397,227,413,318,942,963,918,794,831,243,212,341,316,213,821,
429,616,862,906,122,983,627,477,458,719,616,693,231,626,268,387,985,510,244,
720,540,502,414,759,935,199,865,125,009,194,139,968,000,403,130,447,045,298,
896,391,123,243,753,106,832,691,235,927,733,225,849,835,351,255,052,348,877,
537,676,058,506,923,684,079,904,549,716,116,383,450,605,106,237,532,423,054,
401,850,868,516,885,753,124,102,284,428,011,302,118,425,659,523,463,020,386,
454,535,716,565,608,585,237,989,379,880,392,593,922,864,486,084,908,834,351,
586,854,699,152,526,896,762,817,159,360,221,421,411,162,693,253,683,524,492,
616,779,495,927,903,131,319,532,783,519,501,791,600,908,258,460,019,330,323,
460,950,375,150,701,934,624,695,262,120,312,222,500,054,368,481,973,353,215,
317,265,394,635,732,132,160,528,166,070,295,121,719,043,562,554,661,491,949,
673,577,201,464,364,001,260,406,430,951,813,166,441,975,468,645,577,635,841,
323,679,641,784,893,955,686,650,515,825,532,925,100,842,140,755,469,923,645,
077,250,953,768,381,289,576,335,088,174,272,946,431,492,908,698,366,417,038,
436,153,007,046,446,901,351,272,089,991,393,684,250,478,356,918,229,991,354,
201,256,103,973,305,887,929,549,434,540,258,659,964,783,987,050,821,321,059,
478,142,815,853,957,021,763,575,749,508,355,522,362,145,544,622,458,174,547,
525,577,529,183,567,537,847,237,313,002,444,431,242,842,395,288,069,317,047,
570,000,447,523,509,843,446,224,031,558,717,308,248,480,936,731,899,168,919,
457,229,830,308,992,427,743,503,297,330,757,911,651,578,852,670,761,757,836,
017,525,088,340,417,097,892,506,507,274,660,750,337,425,547,053,641,425,830,
287,564,078,421,998,763,068,747,771,709,510,845,175,367,885,589,458,385,274,
587,353,907,263,416,888,302,128,463,908,833,514,272,346,146,512,355,942,273,
506,344,177,751,509,983,035,257,952,481,531,430,296,162,860,567,668,542,835,
176,674,042,012,326,965,471,682,262,565,873,134,978,386,362,880,140,656,460,
368,068,638,460,982,244,927,813,860,705,428,522,436,360,435,726,978,273,079,
752,668,266,236,074,425,643,834,203,901,493,140,388,000,575,613,358,924,504,
903,716,369,728,563,628,376,842,737,092,437,563,717,799,736,851,119,397,232,
788,151,032,945,787,195,588,292,282,199,354,716,483,716,148,579,375,790,693,
156,569,494,158,817,291,880,989,723,539,548,772,935,566,475,286,171,804,496,
972,273,415,155,360,952,575,361,764,608,212,796,040,558,731,550,626,464,974,
781,063,644,766,953,545,101,408,498,141,115,072,670,048,875,099,180,305,713,
503,922,721,967,194,969,903,964,857,972,421,579,194,472,757,891,457,789,458,
797,348,090,103,880,467,978,026,681,525,873,084,758,519,851,079,397,297,301,
105,975,901,281,408,292,443,202,963,807,790,396,617,469,421,402,259,616,199,
120,455,428,207,857,712,310,432,796,410,232,759,690,035,366,991,099,496,187,
826,365,980,981,824,329,059,604,609,230,503,332,948,867,160,218,397,195,213,
526,421,514,077,983,385,002,918,086,743,180,095,266,537,813,437,570,617,038,
331,417,519,928,310,323,217,751,737,403,070,328,454,357,720,276,792,128,938,
948,722,800,693,211,614,644,477,089,713,293,709,458,772,857,301,974,904,481,
204,835,338,121,280,185,642,468,799,839,236,295,017,072,877,586,214,431,406,
762,986,529,852,637,934,034,133,266,353,219,998,449,125,412,640,584,524,221,
311,870,758,906,423,488,592,952,549,584,577,845,995,800,675,709,400,058,778,
375,976,638,464,862,048,524,247,857,306,823,792,725,551,229,177,141,903,043,
326,670,383,354,009,226,308,103,097,669,612,565,635,325,679,293,971,115,432,
426,946,492,767,879,005,334,120,358,656,992,763,439,280,544,716,559,869,217,
218,007,063,094,404,027,575,075,543,263,809,985,780,130,451,373,209,339,304,
132,190,211,158,596,120,699,327,271,289,606,496,059,494,473,754,306,872,184,
448,559,287,214,032,523,122,286,921,498,024,918,288,869,110,443,808,545,573,
260,587,176,696,639,563,792,752,713,752,754,402,384,800,110,820,509,757,028,
849,849,572,645,418,875,230,626,340,255,702,898,486,515,478,788,020,866,812,
967,044,732,461,130,362,408,923,408,938,567,563,938,058,051,665,221,795,199,
678,720,905,322,521,049,121,123,435,455,034,794,969,456,495,687,142,032,661,
861,131,732,757,307,859,918,269,182,817,309,710,173,738,888,237,429,477,083,
458,275,917,807,241,429,464,315,299,284,643,738,140,116,506,695,097,161,680,
815,666,139,703,359,788,985,038,105,767,907,430,968,683,242,916,334,589,489,
936,698,455,102,115,479,706,937,352,062,239,109,193,288,211,949,956,010,073,
213,435,360,405,225,886,387,102,306,941,463,308,937,297,194,230,045,416,385,
561,897,841,337,347,218,212,912,419,236,717,552,743,934,882,149,302,798,502,
821,028,120,101,162,251,970,385,822,427,631,334,010,122,427,996,636,018,815,
133,009,865,021,588,782,483,479,683,037,326,656,356,911,641,844,301,283,002,
957,319,828,307,110,489,910,061,676,767,017,911,743,863,914,549,386,974,696,
033,594,234,078,034,759,170,669,726,819,823,729,103,365,518,871,844,401,309,
678,180,050,581,193,271,899,029,852,454,532,349,617,073,694,096,748,224,878,
753,784,125,809,137,160,508,263,109,844,848,308,124,601,240,540,048,168,841,
433,153,818,889,519,330,255,669,368,143,788,008,793,105,062,780,603,345,949,
812,912,346,019,981,855,414,933,583,604,584,648,996,720,046,786,089,271,042,
189,982,317,632,534,507,384,459,469,219,439,699,133,614,678,502,099,935,384,
094,368,180,328,895,375,371,665,005,252,443,154,504,013,819,441,527,463,547,
259,158,481,983,267,578,031,296,839,623,056,362,968,839,827,346,401,627,009,
166,684,698,833,409,453,562,873,036,973,270,776,266,675,823,555,579,644,379,
572,546,326,888,180,398,273,176,168,676,629,350,378,623,378,760,354,237,474,
054,219,901,829,209,376,317,271,207,908,146,471,826,164,418,607,332,333,357,
403,400,479,981,060,533,166,082,307,365,767,180,671,410,192,605,028,277,287,
091,169,201,791,547,349,605,398,161,609,571,658,912,170,689,352,461,372,507,
148,359,752,461,418,935,082,758,251,676,773,141,672,232,465,423,092,029,181,
480,329,544,412,974,771,430,782,598,042,913,561,722,989,864,382,662,380,506,
890,570,644,105,668,795,644,771,622,518,857,036,648,584,162,322,019,003,307,
838,261,886,159,842,772,135,396,276,460,477,848,968,020,125,911,494,703,639,
149,477,060,258,960,583,838,455,559,713,931,084,611,188,141,102,248,552,693,
478,928,154,107,375,329,463,175,664,629,750,240,179,013,276,006,171,886,262,
879,017,442,488,613,153,415,419,003,495,135,946,402,497,235,246,821,993,582,
747,393,501,360,411,937,207,179,698,926,803,967,285,857,444,400,186,187,158,
195,147,433,019,463,435,336,142,804,073,717,996,819,647,025,586,399,594,380,
800,788,146,938,900,538,628,341,987,113,957,135,631,864,918,777,932,247,225,
760,663,217,198,653,038,632,373,853,247,504,743,379,803,377,989,419,626,968,
632,114,054,468,691,774,269,380,424,004,609,435,785,592,189,057,860,725,137,
229,827,836,103,223,091,441,667,469,162,798,910,568,386,834,406,861,543,008,
419,433,878,952,086,361,738,837,531,278,030,001,259,617,081,705,875,646,739,
183,267,666,201,657,801,456,814,271,543,920,168,866,130,293,438,888,692,635,
040,745,950,880,108,838,565,412,552,549,353,048,939,825,985,928,656,804,011,
988,636,034,550,101,499,288,407,852,080,025,355,627,581,602,369,800,421,972,
424,188,603,082,692,116,288,620,027,025,509,662,570,008,478,453,764,552,866,
208,609,459,250,637,952,312,202,399,770,881,402,442,416,028,918,663,662,929,
732,410,125,301,491,304,781,009,165,184,694,151,085,654,727,361,483,251,637,
632,057,564,389,850,510,486,062,364,581,162,870,267,973,902,229,120,097,266,
861,597,676,779,910,451,950,821,456,719,579,093,483,912,895,253,997,304,004,
715,156,265,654,935,383,677,425,942,104,302,900,284,373,444,932,152,056,003,
774,806,710,809,302,502,108,328,464,131,197,229,879,011,850,961,335,055,611,
638,863,271,207,340,085,429,893,263,643,969,365,793,103,483,829,038,697,391,
135,239,367,604,303,409,991,036,869,509,289,147,067,505,040,919,373,003,011,
950,347,936,250,735,731,809,851,904,475,139,051,679,186,484,546,842,553,592,
186,015,316,777,185,363,188,881,171,982,797,509,374,576,527,618,784,111,477,
715,643,478,054,849,796,422,354,748,047,560,645,595,967,263,248,321,231,548,
967,424,587,369,682,011,259,643,270,816,715,770,613,835,428,730,122,513,868,
239,756,401,471,328,284,501,754,977,230,915,190,793,439,348,780,843,085,334,
836,268,215,826,398,668,973,619,917,557,220,377,152,382,257,390,719,235,771,
106,745,191,185,363,114,009,390,009,545,137,746,131,675,874,719,233,166,691,
638,271,820,898,960,410,549,610,847,931,399,561,480,797,097,464,240,113,761,
676,272,791,836,438,912,108,193,477,756,752,225,036,190,741,169,854,527,934,
114,837,462,849,969,940,619,039,232,897,119,995,032,595,025,787,975,157,715,
085,621,078,997,393,920,424,620,595,707,183,291,900,640,657,883,997,449,153,
228,972,958,731,771,583,603,992,069,153,431,660,956,802,071,824,156,163,119,
258,448,904,306,368,397,539,361,081,435,106,771,080,492,231,668,806,528,969,
885,953,914,816,867,879,365,375,335,489,671,695,988,466,112,557,571,188,726,
581,687,428,590,847,387,140,622,289,398,149,166,274,166,591,647,423,513,710,
032,968,365,421,434,814,250,683,599,045,467,485,972,490,461,060,775,840,660,
904,632,843,301,738,267,067,411,808,080,946,892,992,650,495,190,506,948,765,
876,070,090,377,990,155,826,723,111,276,659,826,004,274,663,463,289,611,804,
810,981,828,053,937,871,035,959,106,902,705,494,853,093,098,832,801,474,489,
081,398,384,075,284,332,231,013,915,510,908,981,351,260,026,167,755,173,813,
796,357,787,975,566,690,391,928,797,825,388,567,839,607,775,231,587,982,212,
577,870,204,709,408,022,776,409,102,811,584,894,894,837,683,334,827,574,189,
992,341,386,275,276,162,469,471,002,452,482,017,364,163,739,651,340,824,569,
961,287,343,705,286,632,867,582,968,446,179,716,191,640,774,673,992,220,751,
328,223,494,419,924,708,448,993,743,489,524,777,168,424,555,877,750,194,068,
035,341,388,821,406,263,212,365,039,712,423,981,220,517,211,393,960,653,392,
500,846,665,166,040,884,425,493,126,467,019,374,051,321,375,034,577,635,182,
907,301,807,435,194,731,417,664,339,527,917,923,040,368,787,875,665,166,688,
909,871,156,278,571,278,609,509,082,500,135,843,441,730,883,057,657,820,907,
788,222,956,364,680,810,775,759,776,106,013,194,730,901,041,134,982,491,477,
802,072,510,837,573,254,197,726,393,178,672,580,996,627,379,363,241,859,704,
250,293,072,353,302,139,374,326,803,491,136,619,403,865,224,450,922,479,267,
756,328,000,614,965,275,502,950,309,186,978,110,859,910,872,388,783,035,515,
663,521,169,594,074,732,907,823,331,046,620,347,314,712,686,126,105,147,800,
629,032,042,114,081,745,347,950,912,621,695,907,380,126,259,017,789,901,592,
984,126,266,844,595,940,454,371,350,966,555,087,942,364,472,144,501,298,608,
827,352,321,799,230,682,320,847,918,488,410,684,619,936,412,315,514,752,381,
862,468,007,038,768,322,462,256,781,927,197,458,239,007,019,420,624,931,325,
675,467,229,357,263,406,961,564,948,744,066,610,472,287,319,953,860,193,381,
463,879,041,848,082,950,014,989,039,793,786,981,247,900,081,370,555,208,332,
076,870,871,680,696,282,524,704,873,605,406,212,149,620,968,411,557,537,945,
011,609,052,361,913,935,490,983,132,170,193,001,175,919,638,342,418,995,627,
631,030,284,973,676,946,723,522,109,721,583,331,028,931,947,130,752,594,188,
269,318,118,589,829,801,493,783,896,184,247,866,893,605,204,592,699,849,945,
428,223,526,739,982,434,204,903,419,155,494,829,923,993,440,490,558,313,710,
775,173,476,547,517,724,891,864,675,219,470,862,449,283,098,721,377,622,263,
920,734,626,249,457,338,183,138,921,800,558,685,592,668,436,569,152,019,165,
264,489,178,137,041,255,891,245,764,362,924,386,417,235,766,134,076,362,921,
195,492,408,943,518,821,992,119,931,645,788,718,827,251,122,350,370,664,413,
331,672,590,849,972,736,989,471,560,708,052,421,166,272,061,715,901,142,229,
979,414,744,068,245,517,522,430,811,408,869,913,654,155,450,892,574,915,493,
883,131,019,038,828,625,362,763,373,328,161,559,202,493,927,721,067,792,277,
902,847,071,883,568,668,510,837,534,098,167,654,684,897,043,990,141,180,242,
305,420,838,681,775,618,873,243,380,745,436,666,342,924,526,644,416,179,585,
515,151,575,877,864,449,216,822,439,902,433,739,239,178,758,557,157,925,733,
438,476,965,397,040,839,374,882,782,308,315,296,460,992,407,294,286,974,116,
111,947,248,934,662,533,029,957,912,135,126,041,953,855,280,525,334,497,073,
080,427,028,717,675,452,360,652,468,838,997,051,354,530,411,389,075,532,894,
659,854,015,843,867,663,899,137,194,815,139,066,372,184,165,000,180,086,754,
376,881,210,803,034,340,630,931,465,631,492,431,133,534,652,641,941,656,338,
660,811,305,302,964,262,997,812,122,638,386,773,468,228,030,782,683,535,808,
771,049,788,273,951,824,059,616,126,180,974,197,331,660,855,782,060,537,616,
063,741,643,154,031,345,800,482,497,366,224,959,103,284,057,751,208,669,036,
001,050,487,959,335,850,311,217,779,978,757,967,450,159,104,002,616,049,734,
867,799,568,399,598,901,752,282,993,371,112,825,225,621,667,832,847,251,529,
401,718,627,782,967,252,483,163,648,808,782,243,215,484,395,706,752,048,855,
533,254,563,672,931,688,943,855,321,875,317,868,187,397,740,600,127,565,648,
635,504,777,327,542,982,778,992,288,946,611,486,727,621,471,842,996,938,014,
034,480,706,384,126,446,557,955,034,783,906,486,333,298,439,635,168,791,241,
608,068,193,504,227,386,311,472,349,452,310,950,199,574,677,483,555,998,649,
638,730,130,737,446,139,634,968,608,705,071,377,676,665,795,987,269,625,314,
359,875,475,313,108,248,132,423,423,784,886,221,986,351,800,176,497,811,542,
365,070,939,851,112,901,191,996,754,837,160,863,284,355,950,416,642,514,883,
366,713,213,965,553,042,450,903,229,778,577,917,857,669,308,060,346,098,558,
370,033,411,411,558,851,131,521,317,229,304,113,148,242,684,505,031,307,455,
702,731,020,889,305,328,630,564,295,575,373,389,971,300,599,513,546,847,849,
559,182,147,083,066,848,465,437,026,646,739,259,588,475,236,120,257,322,731,
541,420,481,680,926,048,049,166,687,314,809,343,481,627,112,532,609,485,356,
072,020,358,229,612,303,388,325,558,137,063,164,479,394,923,869,395,687,343,
189,106,037,253,304,108,078,346,068,903,618,983,614,222,259,431,332,424,351,
770,517,722,928,048,214,567,143,077,622,623,867,537,851,490,070,982,079,858,
383,353,332,387,335,128,456,050,945,320,081,336,567,289,944,204,822,713,155,
333,663,806,413,746,054,231,699,843,173,721,607,308,338,521,908,410,798,864,
967,884,760,082,510,194,740,626,937,098,599,071,717,487,100,908,962,400,996,
483,934,865,557,782,172,646,585,969,354,167,730,189,510,923,962,102,275,417,
359,801,404,673,822,213,173,849,568,864,447,198,281,664,130,627,856,435,954,
652,061,737,769,202,595,264,655,321,445,623,387,807,380,510,272,072,364,999,
505,722,378,816,951,020,466,983,335,557,501,055,218,708,263,073,674,040,805,
225,781,087,764,991,073,860,108,006,328,802,925,775,251,408,549,615,364,709,
620,617,467,909,610,606,098,126,603,966,964,714,849,722,901,268,224,861,522,
271,312,971,868,646,825,685,018,491,151,990,964,592,910,230,552,372,897,079,
748,638,039,080,995,432,013,172,072,957,440,275,028,143,609,201,366,354,590,
276,217,318,429,340,577,964,818,568,537,607,510,949,993,811,227,940,237,649,
945,407,158,514,995,578,455,329,680,557,136,171,369,677,885,399,144,840,849,
938,789,378,114,162,302,552,664,315,169,346,423,248,109,891,398,160,531,598,
470,209,419,872,959,045,814,494,587,297,576,716,482,722,199,097,993,098,594,
326,935,561,059,111,510,516,903,999,300,366,273,911,325,595,220,369,035,836,
229,382,401,969,634,210,525,880,171,237,565,603,605,117,313,028,337,514,796,
961,759,230,368,555,110,591,505,525,331,917,194,034,819,034,388,539,192,032,
065,450,744,146,268,388,370,617,681,616,512,283,961,392,841,197,241,676,226,
572,217,821,486,549,503,174,056,748,096,371,283,625,225,870,385,644,151,609,
195,830,623,663,958,459,838,993,963,605,934,999,250,935,637,770,458,296,134,
044,328,933,616,829,240,579,761,331,167,967,224,853,549,546,518,889,660,992,
100,542,907,041,836,710,815,919,431,401,873,228,875,358,804,797,766,415,366,
448,735,408,480,357,338,523,553,410,625,264,641,805,586,933,929,288,661,940,
444,104,610,132,705,594,973,227,116,411,164,034,410,421,898,838,765,122,560,
780,671,108,166,832,286,015,270,223,513,897,207,765,832,829,948,046,901,381,
689,448,494,944,885,024,463,216,997,888,436,251,610,063,633,233,215,787,558,
141,046,741,335,501,847,146,435,902,770,388,769,021,387,817,288,164,265,327,
388,713,609,638,666,505,960,887,735,628,149,725,870,878,690,472,299,317,273,
377,214,227,584,610,673,737,568,743,749,701,394,448,060,013,335,622,903,901,
481,699,279,524,641,104,194,690,220,076,435,292,355,318,571,787,161,723,523,
481,572,114,070,661,918,441,260,380,517,882,037,517,044,061,288,538,905,250,
495,541,065,303,588,468,311,287,461,263,602,340,840,066,997,626,271,992,509,
521,195,306,323,180,253,073,555,238,751,139,015,757,046,190,142,127,649,523,
615,585,819,843,773,879,957,364,259,239,278,897,114,585,416,938,491,237,471,
778,219,136,722,942,979,039,317,283,546,632,376,235,201,359,449,475,798,983,
292,364,466,026,333,340,489,082,717,124,100,256,827,111,426,982,759,850,568,
486,793,326,863,818,439,592,104,753,240,411,480,655,795,370,671,287,624,365,
615,655,150,050,705,408,594,305,420,097,797,557,257,130,694,774,479,350,880,
649,767,738,110,069,931,387,102,233,529,718,522,288,258,896,174,842,666,033,
474,581,668,895,007,189,953,846,380,137,068,905,174,627,509,989,623,074,155,
649,640,688,222,897,947,711,030,600,430,481,375,711,104,659,119,407,795,595,
657,704,178,875,720,018,775,746,126,034,020,190,133,206,508,828,312,868,116,
008,379,564,195,059,951,413,661,498,228,282,732,094,647,772,097,720,917,918,
010,647,628,179,945,015,341,123,025,605,993,198,138,295,307,680,658,252,654,
276,854,069,944,908,256,144,653,432,292,779,402,997,758,424,509,631,058,964,
775,279,432,042,756,141,009,200,029,144,834,412,215,992,705,690,701,246,135,
519,385,720,121,057,846,235,313,137,503,859,191,728,036,140,810,580,093,698,
628,238,427,939,735,139,454,923,912,864,161,269,214,653,318,181,976,092,734,
372,750,269,253,941,495,390,187,737,992,371,481,952,862,668,803,516,017,307,
862,916,219,931,222,533,380,847,825,137,646,527,611,518,555,477,805,602,189,
765,592,810,946,086,582,384,658,423,878,182,703,316,715,940,321,536,496,449,
458,899,027,989,605,467,835,815,570,926,919,497,792,927,036,007,627,063,428,
929,518,012,066,496,197,931,588,386,654,663,420,758,526,756,835,200,209,857,
922,533,591,817,759,935,272,837,326,478,011,756,769,605,104,845,456,738,148,
885,801,353,820,463,699,731,805,706,503,014,536,009,792,983,920,624,485,142,
310,208,197,861,605,645,007,178,561,258,341,996,041,018,975,863,319,197,880,
334,957,385,034,616,326,814,121,353,561,621,957,832,818,159,923,425,935,049,
494,650,782,565,628,873,263,296,184,350,185,893,635,900,218,146,613,877,727,
764,385,187,344,567,867,879,744,077,581,453,656,050,626,611,107,424,162,367,
303,894,479,478,507,202,082,753,031,402,798,920,666,070,917,861,769,212,503,
088,259,027,084,336,553,202,207,660,560,618,512,082,804,830,148,401,511,534,
740,136,669,363,016,485,578,995,991,722,947,345,994,228,777,826,684,678,038,
672,497,977,650,015,486,487,973,872,642,201,062,577,914,667,626,870,192,660,
127,401,612,612,188,435,953,756,936,627,279,921,098,099,626,141,876,612,698,
215,824,986,194,692,790,000,703,140,035,092,251,215,169,897,315,054,701,669,
319,338,233,225,761,064,743,270,254,697,613,173,809,153,086,798,158,848,611,
753,406,045,698,037,735,220,493,935,937,298,769,354,330,202,346,412,892,365,
793,365,830,956,347,944,803,572,383,828,359,782,612,821,231,602,053,910,728,
645,914,331,948,115,500,698,897,706,162,743,951,217,932,954,467,724,752,631,
506,663,741,714,907,263,010,546,768,814,816,955,142,010,218,853,284,356,589,
541,264,182,334,551,094,742,086,988,301,223,924,226,809,792,840,270,131,578,
576,185,447,534,490,548,544,836,952,951,873,417,305,600,730,972,715,124,004,
634,013,258,024,457,569,156,241,186,869,361,067,412,009,165,424,513,831,630,
413,953,883,417,714,227,141,529,200,557,082,325,381,590,342,413,092,637,309,
959,879,326,755,880,370,891,864,297,001,401,018,605,304,303,326,275,965,691,
475,789,667,422,683,912,646,402,989,798,500,520,378,849,681,335,220,319,555,
951,378,071,092,312,579,088,703,420,937,424,481,818,501,443,371,157,697,002,
669,717,952,323,332,430,696,788,169,750,147,931,737,441,209,959,523,489,434,
350,672,030,156,002,042,610,050,953,999,517,367,332,788,308,982,287,377,069,
808,141,663,897,566,529,057,275,278,120,208,547,132,589,488,053,196,987,753,
772,021,475,963,479,092,040,332,302,899,901,556,901,630,077,765,150,792,405,
961,756,503,512,885,629,007,026,333,749,349,539,857,009,942,096,221,497,196,
684,994,203,669,715,495,785,166,888,006,148,946,430,728,816,803,713,484,620,
241,866,942,861,428,145,588,487,577,349,840,302,735,700,807,129,994,728,880,
220,080,114,008,044,961,759,926,387,142,158,675,074,020,496,512,487,175,057,
241,344,626,000,432,238,860,539,392,605,026,639,065,001,964,376,992,844,987,
431,713,708,637,583,912,238,232,084,349,009,111,066,358,593,504,119,156,397,
181,981,222,927,591,738,526,574,029,199,308,941,266,676,362,121,550,141,207,
991,434,382,754,757,988,249,826,826,229,333,690,409,218,518,095,186,822,186,
426,649,945,562,326,034,062,401,121,033,790,453,074,371,791,289,723,661,730,
811,947,591,512,197,586,368,272,804,017,988,036,212,192,972,437,751,391,186,
963,060,497,490,178,487,859,183,529,153,998,673,439,216,560,146,572,403,450,
777,814,430,446,977,865,734,150,142,857,836,192,416,684,807,073,158,971,940,
325,185,131,930,624,435,878,521,541,506,942,923,182,618,279,962,975,800,102,
645,551,202,882,690,931,822,169,451,685,861,910,957,444,739,769,672,125,970,
243,374,250,678,720,322,613,479,425,022,697,820,354,316,135,898,883,572,786,
939,218,226,553,977,565,168,215,786,104,520,632,671,794,782,085,080,083,682,
140,065,087,820,264,157,354,089,869,419,184,760,222,496,589,842,216,100,200,
523,917,610,221,516,495,749,415,384,650,002,958,731,922,472,370,046,079,813,
838,253,188,576,513,036,654,471,660,707,594,631,612,820,008,669,473,077,120,
393,201,773,621,393,613,233,456,472,028,067,914,728,770,846,462,105,599,506,
519,196,892,412,142,181,044,569,059,491,291,629,689,360,880,566,266,474,309,
648,662,018,399,765,122,337,893,634,672,718,085,794,394,275,336,454,798,660,
091,191,834,851,723,402,465,973,517,186,921,012,542,878,264,118,304,964,890,
824,366,193,321,291,693,213,675,268,709,901,931,954,171,638,155,150,097,913,
693,184,062,604,479,036,848,998,611,574,225,338,444,789,666,172,185,247,367,
529,455,445,994,394,536,316,723,716,472,222,050,633,402,341,213,797,072,801,
071,252,122,312,784,801,390,049,275,940,685,108,653,855,748,946,585,890,985,
443,139,902,568,556,119,437,263,432,181,851,858,739,600,648,860,463,432,278,
612,033,339,033,452,906,021,034,973,487,784,125,337,822,881,464,838,032,470,
486,325,891,450,000,872,914,912,399,192,489,886,260,251,609,981,947,517,390,
695,547,125,212,395,396,400,810,290,211,425,512,094,543,638,678,156,341,454,
624,003,255,700,455,169,398,391,376,038,446,270,633,035,526,975,786,826,636,
614,507,987,461,831,531,172,174,126,447,703,414,394,845,028,491,748,977,779,
935,870,983,209,288,666,703,313,267,261,875,306,233,977,531,302,499,462,859,
052,983,302,252,389,542,787,503,473,852,828,563,665,593,132,586,510,120,265,
419,357,832,972,837,099,274,370,442,606,343,047,510,012,735,931,714,638,110,
386,598,450,528,891,797,247,174,330,241,940,032,729,341,612,602,548,836,563,
979,106,745,283,644,311,039,708,364,126,583,792,830,811,366,855,962,540,774,
177,728,193,212,120,920,906,192,214,686,882,365,995,047,329,182,474,149,860,
483,819,827,409,543,801,606,803,744,140,309,802,139,459,764,937,840,146,608,
096,769,938,818,248,720,693,867,297,954,199,087,583,907,742,428,217,776,873,
588,542,818,581,685,852,468,529,772,796,032,097,688,294,757,106,662,862,293,
168,378,056,000,891,890,412,441,621,262,920,326,065,716,744,503,925,693,485,
710,700,210,588,434,692,227,126,420,266,870,667,547,390,832,462,594,969,489,
127,042,030,436,421,427,070,285,234,334,087,743,151,142,327,594,152,580,293,
496,564,676,084,278,308,447,827,485,504,008,727,626,597,421,124,023,474,577,
774,681,069,564,486,542,242,883,295,282,727,286,891,860,845,750,435,035,408,
864,465,044,964,573,294,105,284,123,893,515,986,976,927,601,767,058,106,002,
678,840,018,740,413,263,644,265,131,795,084,223,665,015,474,162,411,148,642,
186,181,421,324,327,476,128,634,598,278,554,427,493,715,046,133,373,109,050,
561,304,709,064,071,271,955,612,642,240,223,066,726,268,446,362,251,354,757,
527,626,705,917,224,496,260,035,262,303,828,761,927,657,132,913,445,382,138,
894,141,157,025,038,148,742,580,286,579,930,222,167,327,417,514,592,995,079,
470,289,512,808,249,103,871,191,857,102,662,247,779,182,247,510,920,420,299,
475,659,493,967,742,029,482,624,049,643,959,081,479,622,631,047,440,771,702,
555,392,487,542,471,707,432,964,076,298,366,565,806,592,662,614,813,001,233,
421,498,539,527,301,407,442,970,528,692,467,688,869,446,914,395,152,995,650,
782,117,977,372,571,913,781,945,243,353,443,539,182,925,425,442,184,832,378,
043,297,033,102,832,905,136,576,773,196,894,416,023,544,233,045,432,873,148,
562,602,761,353,039,304,786,130,368,534,525,649,912,943,592,117,973,896,257,
278,015,193,232,211,997,107,279,601,861,579,909,057,310,680,890,061,446,990,
495,295,566,248,214,170,988,332,886,889,205,110,949,771,722,200,794,877,815,
269,367,198,798,488,102,785,805,197,561,749,249,873,688,706,721,345,279,020,
459,660,918,961,074,540,926,260,644,120,591,190,092,339,001,281,934,922,291,
800,094,069,276,982,119,739,041,184,786,502,191,461,282,481,901,389,362,245,
584,643,460,976,396,169,315,677,136,248,358,043,739,738,099,164,124,632,206,
919,043,401,351,007,118,978,705,929,836,162,940,422,328,451,851,636,096,146,
690,037,907,288,293,208,455,609,453,240,946,802,747,824,548,469,981,728,769,
130,794,035,961,386,310,773,256,456,894,928,041,909,069,486,850,669,745,622,
239,191,920,697,881,535,452,906,927,024,483,346,095,018,057,065,795,648,607,
681,698,279,031,788,877,769,778,976,028,315,132,358,194,922,202,493,747,839,
294,119,802,728,815,976,461,333,762,334,613,268,617,246,607,983,565,333,830,
379,722,808,046,704,241,320,585,011,828,003,669,444,739,987,091,790,569,037,
966,586,145,865,325,565,126,056,469,053,983,010,665,258,265,778,895,599,175,
996,604,047,225,072,647,278,594,684,850,919,147,331,109,612,155,734,792,085,
599,027,792,772,766,175,516,442,571,409,205,730,157,469,645,026,533,786,171,
382,139,535,692,846,484,519,216,359,636,331,823,088,748,495,947,588,104,180,
257,654,956,385,290,852,832,602,724,140,230,165,169,624,153,603,434,505,543,
847,890,984,401,104,122,805,915,083,045,940,875,487,194,539,334,072,532,784,
010,890,210,641,676,669,150,146,692,361,412,520,568,840,501,555,340,690,793,
520,660,446,682,081,519,295,674,493,849,800,712,164,214,107,602,812,200,433,
309,763,741,892,610,072,045,299,995,633,180,048,938,062,533,116,209,313,678,
465,313,167,279,618,581,916,552,957,551,976,863,262,658,651,243,054,096,229,
573,484,992,078,798,976,323,296,518,276,578,926,409,016,146,457,260,930,185,
725,359,195,605,699,205,247,366,294,039,577,548,487,274,513,380,505,344,306,
972,567,804,457,439,369,300,595,129,980,414,085,485,236,616,786,093,035,379,
063,442,322,903,141,928,138,468,588,265,073,731,640,889,601,593,290,427,093,
586,616,028,724,174,996,509,130,866,672,679,524,717,245,018,734,791,503,573,
004,001,881,097,926,410,427,162,837,772,567,358,183,363,261,196,990,101,581,
823,198,335,268,741,801,975,479,113,177,624,277,881,466,622,579,676,629,618,
726,613,183,156,453,068,970,390,752,099,367,134,185,208,890,199,193,732,605,
943,344,754,108,836,738,913,858,117,845,446,936,437,534,655,179,499,908,983,
333,450,577,739,060,006,073,362,511,287,359,191,422,957,747,658,046,876,594,
894,320,265,075,247,248,889,967,985,069,618,364,965,819,486,136,439,077,235,
839,711,173,883,051,848,805,501,731,881,414,268,809,368,582,827,055,178,227,
192,580,564,452,525,100,389,195,777,723,285,793,053,413,998,607,516,413,198,
514,991,895,195,242,833,740,029,120,366,076,789,732,292,364,796,656,858,407,
778,148,361,160,514,969,900,078,656,852,112,910,128,290,534,844,268,497,197,
948,114,956,111,765,619,024,757,302,686,349,708,624,911,774,972,023,398,467,
494,417,723,898,111,370,802,145,070,949,345,194,428,615,387,923,530,331,006,
330,531,160,281,368,711,631,273,241,165,387,654,468,804,988,927,987,174,890,
201,890,963,571,016,494,965,056,440,969,883,401,084,007,801,275,225,462,559,
167,709,381,196,194,130,927,836,341,682,774,343,906,859,192,093,792,070,453,
729,313,306,507,786,267,445,370,327,720,328,798,588,344,002,795,732,494,942,
977,409,548,683,986,286,733,952,593,196,698,422,989,142,199,803,112,021,820,
179,206,073,130,066,641,498,879,086,732,342,554,855,785,313,041,407,551,538,
233,943,978,226,557,515,439,739,541,669,284,582,088,003,042,472,382,169,848,
261,168,028,885,576,196,532,570,882,002,978,355,260,995,570,108,505,347,342,
476,430,251,200,845,694,873,366,874,404,098,200,038,989,204,849,929,298,084,
726,301,169,018,642,674,727,698,548,442,786,734,381,807,048,514,270,632,668,
639,500,919,405,675,973,213,295,023,358,676,629,521,010,436,110,985,389,572,
186,026,874,530,582,774,349,508,741,974,233,558,466,002,379,264,278,572,585,
858,013,220,429,545,483,879,279,812,522,247,195,456,679,452,217,843,225,281,
671,798,728,283,802,605,201,901,715,464,945,268,157,140,468,074,742,117,379,
099,928,988,621,054,146,722,539,523,498,746,371,936,665,500,086,086,466,371,
326,463,784,228,177,529,165,460,969,207,254,027,649,328,945,448,129,405,327,
311,532,528,443,974,069,406,456,315,496,642,248,100,009,120,532,726,456,366,
282,772,537,257,003,153,871,625,978,697,888,992,603,822,414,637,650,515,026,
402,364,936,534,258,923,088,076,745,505,631,109,834,863,306,050,847,139,392,
234,070,230,687,190,842,546,771,237,571,522,379,131,947,242,019,641,328,908,
436,292,773,965,163,807,541,866,296,764,294,032,662,654,903,220,374,807,855,
667,648,879,320,986,767,509,479,292,684,554,723,625,492,810,796,265,082,854,
190,094,956,589,381,743,438,539,797,904,410,809,013,240,786,433,052,476,918,
125,036,982,914,154,709,597,060,339,846,435,663,879,019,277,682,442,033,263,
983,494,923,693,835,844,211,996,872,028,058,246,548,543,652,428,810,070,582,
116,068,665,493,416,427,402,375,326,541,261,586,084,410,822,061,777,183,266,
980,151,885,039,657,598,125,048,531,377,325,714,443,135,794,267,557,082,883,
994,054,586,877,817,168,491,270,327,321,916,877,454,105,885,652,790,353,383,
883,118,194,517,035,694,445,190,830,691,116,225,548,748,091,558,903,562,164,
746,464,574,816,110,349,352,074,625,800,969,870,976,620,542,272,721,754,554,
794,807,153,479,205,154,245,539,048,649,536,341,352,363,303,029,666,211,025,
119,380,276,206,968,705,016,160,526,705,156,394,462,218,476,528,348,575,398,
571,408,121,517,636,073,381,516,476,427,156,619,827,442,381,801,716,236,338,
930,990,273,942,977,407,391,331,724,723,348,601,372,665,162,347,178,477,389,
421,515,630,900,557,438,839,203,023,942,596,440,846,855,126,968,735,495,577,
042,161,390,883,702,759,311,439,477,687,266,128,799,376,404,243,299,521,464,
943,368,817,631,236,072,410,530,833,497,735,516,291,849,400,817,905,941,053,
318,964,680,641,693,091,373,278,083,921,779,355,860,559,705,598,202,007,950,
756,491,126,984,979,114,672,545,059,877,200,083,728,070,186,224,478,524,841,
743,685,745,685,406,251,600,637,110,592,021,554,295,796,868,386,273,801,911,
541,210,117,788,010,907,860,113,637,299,881,426,432,187,270,780,535,055,226,
823,487,189,535,008,794,171,932,504,072,695,072,453,733,460,087,586,186,215,
718,607,545,148,516,146,508,715,838,833,559,899,701,200,363,636,579,487,431,
273,942,810,539,636,282,101,834,329,800,971,424,541,847,668,145,222,602,124,
965,298,536,414,583,151,492,901,593,775,591,711,651,387,964,798,039,772,924,
312,206,602,838,930,925,742,479,838,927,226,059,222,175,898,077,995,363,709,
488,105,107,048,914,252,287,507,756,407,699,826,215,070,912,748,154,035,957,
249,380,930,929,525,044,582,086,786,231,650,576,154,626,581,247,102,470,295,
631,040,515,726,283,457,484,650,507,317,533,291,762,834,058,541,728,135,474,
179,210,059,683,527,574,223,850,010,756,241,250,777,986,741,328,779,762,402,
390,291,249,121,799,359,450,925,377,562,903,270,119,886,777,355,025,781,716,
351,686,478,938,974,679,582,448,363,065,290,251,760,734,177,801,353,851,276,
237,008,768,523,386,561,729,672,877,508,486,533,185,272,755,822,575,451,594,
972,504,696,563,547,932,311,022,444,425,610,478,620,418,778,296,463,323,133,
708,548,594,856,907,735,789,571,370,314,162,156,479,490,956,590,247,148,253,
583,997,928,560,777,973,539,302,034,563,075,530,041,003,821,530,519,951,180,
841,926,350,417,856,865,245,842,455,369,619,286,751,488,458,584,214,302,989,
347,363,545,016,554,160,845,008,757,270,256,105,876,883,052,044,166,601,051,
971,636,227,432,609,906,753,300,514,395,334,599,018,053,467,986,233,175,259,
907,888,589,799,643,482,409,975,769,552,814,933,826,071,416,250,927,236,330,
749,138,601,109,535,463,716,422,022,142,968,725,890,408,691,811,814,827,872,
281,765,706,104,348,445,720,545,908,398,533,394,729,783,255,288,442,076,373,
576,006,911,053,815,203,356,772,394,804,868,353,577,258,823,621,879,276,920,
110,329,845,147,578,416,332,927,496,356,238,139,595,116,227,200,386,027,259,
388,996,238,129,142,838,981,179,855,288,640,722,799,241,897,973,680,871,348,
157,966,198,789,218,842,697,341,040,725,162,960,959,434,252,066,569,612,047,
936,637,640,884,728,675,839,061,471,260,526,524,466,696,898,352,619,091,270,
565,653,075,445,643,457,346,953,275,614,293,467,346,186,638,951,397,944,693,
780,546,713,414,845,660,323,116,930,196,975,317,855,151,437,148,259,817,224,
919,363,500,860,261,352,277,380,447,034,348,143,086,641,908,308,006,506,945,
061,032,117,522,455,046,497,276,832,049,038,570,848,282,455,846,494,980,049,
967,987,712,907,820,431,412,091,150,424,286,745,961,607,819,952,716,581,955,
183,414,081,377,832,103,748,674,296,153,682,072,943,272,098,784,861,306,898,
976,244,933,997,851,801,408,885,995,131,802,384,586,607,040,857,454,165,227,
539,873,768,269,203,333,759,086,183,195,177,109,660,468,197,948,773,216,625,
620,865,590,246,591,581,949,645,331,375,733,951,723,864,096,651,013,596,229,
260,214,155,696,886,423,278,644,642,166,875,694,804,434,115,754,922,919,019,
008,590,324,772,631,272,410,953,643,257,848,497,647,427,054,355,504,823,490,
459,274,284,620,110,204,614,861,972,534,535,571,539,922,865,081,764,308,640,
155,152,481,239,791,546,234,775,293,639,441,363,582,679,147,668,895,303,069,
735,239,291,324,851,435,978,012,684,382,376,159,880,630,595,526,177,197,278,
540,917,470,337,010,917,645,030,497,501,897,153,406,894,083,117,536,898,337,
165,190,228,185,552,883,291,395,639,269,107,115,714,532,956,128,984,965,107,
325,697,471,387,456,121,484,262,929,931,193,339,663,642,034,609,687,976,396,
408,637,769,019,260,835,289,873,710,472,099,613,249,918,537,642,431,287,190,
404,972,157,727,588,618,815,488,654,492,525,672,531,440,757,286,925,378,157,
309,523,467,481,686,553,016,582,520,138,746,176,741,957,710,514,550,982,409,
116,143,827,745,464,565,803,333,854,412,666,429,896,372,871,401,872,815,913,
096,571,136,075,388,304,019,588,543,684,462,909,356,242,828,852,083,870,279,
804,796,106,461,717,725,750,937,403,625,621,632,131,151,894,621,518,593,068,
052,159,767,728,450,126,081,124,971,160,290,208,119,135,744,770,783,504,567,
916,507,666,418,406,050,670,300,348,058,025,323,937,108,552,020,042,145,875,
510,267,670,933,012,989,050,931,810,165,028,790,731,164,126,503,089,271,052,
119,288,701,546,117,591,218,902,287,586,029,215,155,432,796,977,323,049,946,
764,392,382,584,879,124,301,573,162,865,288,298,495,509,222,024,830,572,143,
455,465,851,994,374,065,961,856,820,362,481,436,955,020,406,000,045,394,411,
362,637,523,413,439,518,706,098,377,023,254,754,089,413,227,800,802,102,674,
113,960,435,468,055,438,500,147,999,963,861,118,409,781,588,625,918,511,204,
715,874,027,068,924,775,936,715,129,245,750,816,478,408,535,162,429,586,121,
667,514,211,798,226,604,545,117,515,883,121,854,952,369,125,159,006,745,251,
429,856,365,862,108,071,144,843,135,004,153,566,378,007,593,318,896,523,533,
411,197,780,159,623,553,560,821,432,849,400,560,674,969,227,202,657,498,195,
385,515,722,481,240,912,055,769,085,799,240,060,360,318,859,554,190,039,241,
241,856,186,494,435,932,966,904,368,024,731,359,940,545,219,642,705,046,297,
929,102,740,774,834,291,812,420,730,816,810,337,377,395,642,937,502,554,935,
965,785,884,017,688,324,373,459,729,601,492,718,169,741,858,004,192,892,213,
763,638,376,563,994,325,131,500,723,070,277,024,275,049,409,087,848,819,732,
626,982,121,405,526,752,655,656,614,843,904,217,163,705,634,415,211,566,100,
661,555,322,188,025,027,081,584,165,822,023,507,826,131,761,580,067,257,826,
612,546,428,699,294,262,635,003,729,867,877,391,015,546,761,388,730,782,742,
996,259,641,029,144,660,650,199,406,101,705,244,242,273,179,407,020,042,462,
069,932,846,785,243,740,164,641,381,410,259,971,081,926,551,965,393,247,775,
400,404,136,142,515,639,298,272,312,585,344,951,957,248,430,662,332,157,530,
853,326,744,505,812,314,625,149,529,743,949,896,532,136,196,267,889,300,285,
796,272,770,597,885,452,743,344,015,228,113,124,660,688,215,791,487,147,238,
902,322,040,018,007,838,064,047,097,527,521,275,787,765,466,911,904,832,392,
735,652,645,068,822,883,706,563,356,496,703,784,498,662,425,422,756,862,383,
828,940,535,001,743,037,860,739,653,812,212,691,966,168,610,347,409,858,719,
963,881,728,290,098,125,634,123,752,363,118,034,522,283,293,384,568,814,840,
185,713,116,832,598,657,325,425,141,530,479,595,246,387,501,338,815,258,997,
666,144,188,336,339,809,517,622,514,919,032,737,106,169,917,629,100,772,376,
110,988,268,699,378,088,236,056,884,220,702,906,679,412,465,839,405,511,559,
902,044,652,826,991,751,883,385,790,459,117,186,473,928,468,459,472,611,078,
830,745,525,615,353,218,429,965,858,417,468,479,125,262,694,345,744,081,216,
211,770,700,783,503,428,549,106,390,256,057,637,556,870,492,389,164,749,521,
427,565,871,603,572,175,551,491,795,999,444,367,217,270,544,179,501,443,767,
215,021,037,802,417,201,012,014,512,039,394,989,365,534,952,093,816,566,571,
223,453,415,338,192,145,197,309,915,067,603,006,903,427,830,536,511,012,956,
624,395,504,970,177,343,611,859,749,240,671,452,391,452,489,066,373,837,778,
132,315,685,100,232,647,629,283,286,902,912,023,529,023,369,629,621,971,447,
744,754,481,620,665,814,283,348,359,104,002,902,390,457,317,766,735,577,067,
239,669,513,709,991,247,297,580,610,136,363,837,448,478,050,314,905,128,159,
466,075,538,037,811,439,345,227,546,770,169,825,689,175,421,603,856,792,470,
762,588,508,667,305,919,186,017,731,682,966,582,696,325,933,991,521,438,517,
820,192,929,601,468,968,944,129,273,566,858,084,360,132,375,240,686,498,759,
590,642,309,471,571,425,790,928,828,230,854,534,875,702,663,260,233,126,066,
268,243,681,622,166,771,606,580,676,864,855,655,370,743,490,076,578,118,218,
798,486,267,995,597,786,233,325,136,884,008,232,366,458,571,002,880,938,446,
276,237,913,836,910,175,291,601,053,338,223,678,942,547,405,865,642,363,473,
523,537,466,784,947,586,839,495,087,603,767,843,158,366,020,732,465,335,546,
814,769,756,656,155,361,163,918,285,450,060,793,608,673,172,342,465,031,179,
299,581,289,563,014,093,745,057,901,523,025,366,168,255,204,016,760,126,996,
177,387,928,565,778,395,454,362,346,258,467,437,538,290,835,740,787,311,890,
656,599,185,193,185,410,471,231,505,066,237,653,252,612,752,886,096,078,231,
188,194,327,841,055,797,289,579,212,911,860,495,067,832,437,845,859,310,261,
176,806,715,550,399,734,133,588,620,648,143,851,663,524,626,558,520,927,414,
351,962,924,218,123,437,711,480,708,955,961,378,845,332,605,422,822,200,721,
943,463,669,249,557,840,725,093,472,348,756,162,111,449,387,058,061,399,195,
066,797,726,259,522,733,699,366,522,874,390,636,109,586,630,700,394,299,293,
706,322,875,922,864,233,624,324,424,628,457,700,533,423,709,307,245,699,194,
283,386,612,849,637,640,045,522,404,340,417,033,307,921,467,885,556,965,338,
427,647,913,371,937,920,766,783,687,571,692,755,953,323,290,343,135,245,958,
338,674,353,913,018,518,126,310,198,350,180,284,634,650,836,646,978,968,487,
914,813,428,452,214,861,462,749,963,578,870,186,741,302,655,024,551,416,154,
916,790,759,443,433,731,292,540,765,771,036,721,602,284,319,591,124,404,854,
410,642,040,037,689,834,150,786,072,521,741,355,927,530,497,057,712,878,438,
350,720,266,772,439,150,325,841,419,129,183,175,656,872,579,053,453,508,672,
440,223,228,140,671,581,256,465,492,580,556,965,831,595,040,214,445,028,090,
281,709,473,139,275,665,800,543,301,715,375,312,158,175,410,088,896,242,992,
239,980,795,685,053,859,599,460,154,199,254,312,235,821,196,146,577,909,143,
913,260,853,745,767,275,252,551,710,991,797,834,083,888,687,167,490,952,401,
003,290,029,345,182,811,604,652,671,659,870,306,108,392,743,691,909,253,477,
825,311,944,106,577,715,867,235,929,014,720,956,490,244,920,721,539,268,772,
940,579,989,192,626,364,686,237,592,640,660,165,574,803,340,821,478,618,453,
327,049,759,919,299,569,742,437,004,809,977,983,986,037,028,306,427,914,767,
444,886,324,159,371,312,095,009,363,406,215,043,288,773,499,264,196,790,483,
634,578,378,891,136,722,197,424,415,004,571,324,498,929,035,346,313,161,535,
741,946,840,587,437,648,733,256,945,658,462,073,163,244,994,984,851,904,358,
019,637,363,012,873,821,884,027,798,110,649,916,815,389,988,167,058,053,950,
447,299,137,976,835,433,357,105,754,964,685,989,025,384,386,631,392,622,861,
706,463,850,274,961,975,931,413,430,881,587,840,150,558,466,528,482,720,636,
232,224,506,377,074,219,253,540,463,291,317,624,876,914,289,102,757,334,482,
417,202,617,204,572,186,018,957,899,541,163,021,308,514,933,354,726,797,590,
944,176,037,888,673,411,231,884,677,992,930,339,397,011,474,679,168,022,587,
477,722,306,096,305,719,635,905,610,196,399,207,690,608,521,682,191,120,060,
146,648,457,205,476,492,132,896,826,708,506,490,895,561,747,796,523,802,187,
894,086,733,287,746,150,189,269,580,404,145,272,334,776,236,419,094,828,253,
379,046,699,521,817,717,413,448,914,509,950,223,046,986,129,246,505,960,314,
509,865,209,266,056,748,370,337,626,689,488,040,252,580,381,691,717,454,617,
592,093,371,937,621,280,533,572,500,160,146,986,389,670,212,998,640,624,771,
101,622,419,373,259,214,337,424,893,275,915,303,819,903,627,455,794,863,790,
932,011,590,282,122,930,252,836,900,970,810,249,625,505,212,122,716,508,419,
436,138,803,299,507,049,516,430,939,768,199,255,800,277,573,083,456,532,427,
013,401,680,011,633,223,827,665,446,403,252,760,052,295,641,985,168,180,768,
791,482,962,520,823,598,050,418,362,846,553,542,366,602,434,234,607,662,679,
110,762,424,822,424,528,828,416,913,779,833,273,538,301,932,469,510,030,616,
722,570,487,567,651,311,787,067,698,094,424,920,357,922,252,189,727,949,794,
538,765,035,860,423,463,188,687,848,749,635,672,935,008,808,886,984,010,327,
617,103,681,961,192,022,994,352,906,426,634,018,036,886,316,166,693,484,390,
609,986,349,915,164,775,562,255,187,353,802,018,777,463,087,303,459,599,984,
327,088,821,652,107,579,469,628,282,970,998,210,194,943,891,506,420,655,126,
050,328,149,812,980,497,951,791,537,004,762,438,591,421,541,327,971,251,783,
851,797,887,997,390,532,495,844,415,865,089,668,953,797,224,568,987,235,672,
482,282,346,991,660,304,316,111,591,380,391,762,718,568,289,362,313,261,812,
745,793,317,766,635,419,388,373,484,347,425,659,312,115,320,286,757,752,445,
485,043,083,688,854,489,331,236,625,396,623,075,817,334,991,947,451,986,544,
925,732,941,931,271,950,904,445,711,039,316,033,015,549,830,265,316,912,515,
379,893,532,577,482,781,716,196,615,979,242,029,197,387,429,722,295,348,582,
262,872,248,341,108,629,437,002,450,066,272,646,971,657,734,869,651,598,219,
414,938,539,593,840,685,638,784,181,739,611,044,429,713,110,422,040,841,128,
242,377,899,621,806,612,445,260,131,612,265,335,790,668,105,052,949,133,423,
308,245,603,978,424,507,567,973,817,352,888,126,551,682,985,981,038,008,482,
624,764,060,778,477,202,515,020,710,113,404,653,379,354,372,860,603,722,415,
323,898,877,002,644,435,704,665,595,723,537,422,650,408,608,707,759,019,608,
581,737,092,726,978,954,273,533,608,090,767,312,224,902,915,728,935,781,310,
075,912,861,907,520,289,753,854,310,079,318,694,907,129,193,257,842,648,792,
004,902,969,685,057,781,351,656,388,660,016,803,097,671,160,841,214,343,288,
847,437,876,719,833,143,458,044,206,236,538,167,288,710,230,781,727,672,634,
135,591,233,991,359,445,682,178,523,302,612,486,139,606,277,663,378,259,636,
221,061,553,373,313,163,329,649,613,655,279,060,673,635,758,759,309,676,754,
369,515,606,833,083,549,573,645,032,524,721,737,778,061,385,713,508,102,958,
977,084,098,464,356,103,556,747,950,539,192,776,982,214,576,264,634,242,449,
837,352,806,494,439,395,401,447,576,077,160,626,583,299,921,310,862,037,182,
049,789,326,113,039,167,959,589,471,757,604,024,596,508,335,647,298,358,046,
015,115,146,482,111,717,513,205,283,687,620,326,950,909,965,473,920,883,629,
715,747,070,233,167,920,753,580,671,403,280,180,248,438,122,689,885,489,094,
473,674,042,377,393,933,087,489,766,597,458,634,914,909,324,512,085,426,218,
302,492,033,976,341,092,243,097,271,754,973,047,341,929,749,666,789,915,842,
304,395,149,499,554,875,450,906,748,182,419,669,294,091,157,856,037,358,454,
027,602,378,795,605,051,198,613,201,392,846,427,677,947,518,753,906,363,085,
477,815,296,851,946,634,101,026,724,759,914,734,649,013,960,863,834,207,422,
855,688,640,148,086,891,898,259,763,569,329,396,726,899,198,294,128,428,693,
118,045,866,877,388,353,802,257,737,417,703,586,552,769,776,238,164,400,413,
706,810,933,767,967,662,111,329,466,732,316,668,578,986,918,064,356,987,829,
605,318,128,950,526,727,859,064,755,086,244,989,842,765,321,028,618,632,039,
816,493,207,430,440,235,608,720,839,849,498,342,113,402,718,941,944,765,242,
282,801,956,847,059,291,684,699,484,435,676,146,977,975,839,593,030,372,015,
317,880,979,803,661,284,083,177,825,367,136,690,106,464,612,952,406,872,777,
181,911,471,185,962,872,747,160,333,949,069,580,197,724,058,644,727,316,552,
689,412,199,714,694,401,751,015,539,125,925,820,933,325,031,586,812,998,000,
900,075,895,415,034,349,943,807,886,773,026,808,252,576,559,950,198,876,412,
518,315,122,606,137,620,739,209,817,916,238,289,375,294,212,821,362,606,192,
958,046,828,386,521,389,157,664,460,340,849,583,078,169,355,644,775,203,721,
706,082,098,498,775,933,728,715,279,628,334,774,337,376,308,922,869,227,230,
545,183,936,983,210,876,179,668,498,352,294,922,549,659,381,353,448,005,693,
585,655,542,230,908,808,428,574,327,834,841,164,570,901,576,755,376,407,650,
909,759,511,478,963,167,052,738,450,474,794,205,518,161,270,293,214,150,259,
734,750,995,889,502,996,960,950,163,249,299,068,913,677,249,458,122,016,682,
486,872,429,292,616,250,613,777,523,016,559,750,494,767,945,693,273,472,684,
296,212,181,319,704,710,572,248,180,927,666,658,985,977,694,913,910,008,022,
737,879,162,060,418,916,717,252,574,117,252,455,989,854,038,034,451,738,806,
487,738,195,917,452,999,273,522,145,556,016,302,396,613,081,888,701,149,504,
672,445,651,713,021,486,688,815,608,509,296,353,144,954,018,273,726,779,558,
495,925,133,458,973,800,290,803,444,838,322,172,952,694,520,262,794,481,469,
227,058,498,216,299,307,208,746,094,758,016,232,871,848,932,231,921,057,624,
921,951,865,239,419,614,380,312,127,788,310,509,254,065,644,488,352,867,067,
625,413,734,817,423,222,213,074,547,822,680,112,011,554,185,995,636,181,523,
535,111,957,179,048,570,468,285,660,343,720,205,926,065,386,547,474,950,287,
359,459,183,381,415,733,950,956,630,774,246,409,451,960,632,940,130,874,194,
632,861,306,890,862,318,884,547,813,234,467,044,493,214,236,895,049,001,241,
365,377,862,426,446,902,121,956,555,029,719,867,807,392,503,915,269,761,395,
112,057,123,505,971,773,425,570,571,647,562,123,484,115,629,895,501,706,594,
584,320,160,921,454,751,033,228,170,164,318,756,446,336,088,017,845,878,087,
494,961,657,064,474,389,560,458,500,215,528,450,894,342,657,516,991,527,658,
755,067,478,981,813,054,781,684,770,141,726,483,411,834,547,027,045,628,129,
108,547,827,098,432,671,287,058,124,099,674,491,482,525,054,136,449,874,756,
763,816,217,274,927,797,138,459,491,439,284,938,688,081,581,938,181,822,602,
284,912,213,727,264,177,846,542,134,440,917,998,456,685,499,117,392,830,879,
645,874,093,452,633,385,333,889,132,606,056,296,830,364,042,438,393,721,925,
759,727,384,323,939,516,040,251,697,123,730,447,477,106,341,520,712,840,509,
925,192,296,689,628,886,545,993,280,218,267,154,354,928,505,013,738,864,181,
616,435,700,968,779,983,229,319,679,292,009,635,964,278,749,800,626,365,049,
025,978,099,506,550,039,680,487,399,832,719,523,028,860,543,387,681,101,898,
653,440,231,101,219,025,298,616,088,373,988,656,529,004,812,520,586,046,769,
023,373,664,026,872,195,859,395,006,923,757,416,280,696,777,271,843,682,739,
667,094,718,137,406,925,756,325,699,857,164,460,745,999,518,778,452,805,041,
220,933,757,979,371,025,508,663,004,567,890,736,779,465,824,682,936,890,828,
319,509,810,618,970,189,725,136,363,083,364,176,232,661,435,488,474,666,791,
781,189,170,838,038,589,827,959,103,769,970,963,954,165,243,779,349,371,201,
727,914,162,299,548,964,917,855,010,446,068,313,585,956,698,641,733,645,533,
050,782,390,766,363,669,713,604,875,632,473,530,544,948,061,154,370,960,939,
589,148,270,710,589,841,761,700,300,953,432,435,809,021,712,181,324,020,264,
603,407,716,046,019,888,541,524,782,890,358,168,438,045,753,353,887,599,235,
782,545,507,520,152,133,842,128,584,927,514,821,667,029,331,567,584,887,548,
006,619,810,842,355,200,442,148,550,622,804,439,935,873,646,014,754,569,188,
554,045,992,345,275,100,246,815,064,692,194,712,423,125,456,224,684,763,958,
072,486,584,699,603,804,644,242,090,786,112,021,922,183,396,642,943,121,826,
268,139,892,778,184,555,228,944,894,494,670,934,919,072,662,568,590,069,241,
036,215,831,268,495,533,223,903,422,709,206,025,468,802,240,467,254,605,874,
323,769,120,311,237,172,538,533,572,331,497,366,829,989,752,749,185,097,907,
609,600,407,651,207,238,074,044,983,669,576,651,664,796,701,842,764,529,697,
506,089,969,866,373,315,759,441,018,083,824,733,099,576,206,694,242,146,769,
240,854,839,834,324,401,947,089,200,928,245,847,837,788,647,135,442,697,606,
742,238,029,258,626,811,736,231,904,966,913,704,655,600,661,666,235,040,256,
841,629,656,210,631,344,176,376,764,196,419,601,963,449,178,799,548,207,759,
555,394,108,591,385,949,353,089,410,301,048,639,887,468,226,092,523,615,081,
439,502,387,241,543,670,764,971,634,462,826,769,404,012,270,372,967,094,367,
073,282,479,502,925,719,790,891,174,694,344,155,169,469,756,704,943,026,310,
458,875,912,147,828,931,059,749,174,081,326,724,081,615,046,247,994,569,858,
852,528,519,300,117,387,673,618,598,975,500,943,909,470,426,273,671,048,803,
463,899,609,757,248,117,072,929,718,812,790,650,535,275,058,799,268,882,393,
533,958,648,362,348,035,581,781,570,738,771,759,001,470,547,464,568,515,597,
964,552,448,471,376,905,606,781,572,294,464,672,111,805,331,144,325,471,716,
469,956,199,379,373,994,710,770,019,432,527,327,448,804,767,309,806,542,494,
665,278,963,448,913,310,202,882,875,617,199,574,413,746,874,482,283,699,290,
784,353,719,669,721,011,812,346,837,715,353,376,436,330,185,269,431,824,614,
563,938,851,265,655,591,807,026,320,259,295,185,796,437,746,273,705,659,954,
768,887,904,018,631,546,957,528,996,438,800,580,698,532,067,680,511,496,987,
914,799,832,565,859,808,075,553,234,222,687,283,761,195,680,396,948,804,532,
098,276,119,377,464,788,893,918,988,690,967,623,772,406,420,553,938,512,001,
335,013,964,616,960,531,227,406,996,348,019,343,098,829,072,217,751,954,905,
473,494,155,966,229,323,363,167,509,630,876,155,842,346,778,497,014,531,331,
686,401,600,139,752,045,835,250,729,819,544,277,492,261,381,646,775,383,385,
064,370,134,773,426,972,450,588,536,189,664,656,808,336,896,185,612,056,822,
611,702,156,144,477,208,381,106,142,213,498,401,231,256,681,103,458,243,394,
194,923,033,993,333,653,085,122,809,554,450,642,346,797,152,476,985,060,980,
433,999,603,538,600,226,924,942,612,378,524,612,811,005,865,824,774,249,329,
135,832,969,533,913,199,689,977,821,464,900,357,276,203,672,065,661,881,254,
629,645,163,027,288,063,956,919,608,022,565,388,966,774,135,459,369,713,583,
500,658,019,628,429,811,194,241,467,945,973,617,378,892,490,301,734,514,048,
041,067,613,761,947,110,158,055,582,678,373,527,381,722,013,271,615,108,986,
590,993,538,574,225,935,672,553,827,232,283,073,138,945,459,355,645,967,285,
613,148,331,283,842,987,922,911,377,361,951,654,656,362,689,744,101,005,143,
208,664,857,533,702,913,943,921,889,718,820,473,917,673,397,775,551,240,770,
850,628,361,544,073,409,502,768,897,699,454,017,395,325,047,877,267,652,378,
114,884,480,300,546,602,903,085,447,870,820,641,126,286,660,255,831,720,428,
996,356,750,359,094,771,075,788,831,939,023,756,208,444,525,003,700,694,804,
817,773,760,747,127,277,948,868,240,310,495,839,185,131,291,487,959,657,320,
100,842,231,021,240,526,506,278,356,147,892,382,014,807,332,899,797,045,815,
336,498,131,709,243,795,956,659,354,865,003,682,074,318,255,833,669,764,646,
847,794,208,988,733,943,788,853,756,648,338,898,679,458,655,313,606,485,346,
409,275,884,377,504,297,685,224,175,070,457,337,111,673,747,768,928,964,058,
816,668,417,248,727,994,167,658,276,550,936,156,257,982,374,271,143,759,354,
780,056,358,933,738,725,212,559,575,465,010,236,301,193,323,660,891,519,578,
565,242,049,639,727,245,188,086,892,930,518,843,768,099,506,172,697,490,087,
802,084,476,899,220,293,067,087,198,676,719,402,885,733,762,479,710,987,255,
992,377,817,599,153,233,477,369,289,535,141,136,289,173,205,670,403,674,651,
555,209,675,252,986,874,350,683,572,102,853,250,418,041,607,087,134,599,004,
685,407,379,104,307,299,785,454,661,421,939,736,519,424,785,333,373,177,659,
083,840,222,413,680,241,403,979,771,846,964,382,220,023,273,311,652,311,308,
534,382,925,849,773,285,265,127,534,455,243,377,573,475,387,797,001,426,331,
291,896,721,686,889,881,069,276,509,292,750,590,580,142,697,796,208,093,257,
747,788,105,301,436,369,269,464,784,405,639,949,072,639,906,540,829,184,767,
611,940,508,549,447,356,320,303,873,583,730,143,382,973,544,857,943,043,996,
278,221,752,993,873,755,835,933,380,276,230,053,640,302,576,450,405,091,700,
796,426,954,937,171,212,603,686,335,604,243,432,545,776,275,075,803,196,366,
611,020,782,766,284,935,262,835,226,187,889,847,936,935,113,501,117,530,204,
304,379,584,710,312,405,808,150,220,180,502,700,141,258,811,066,815,213,147,
675,914,702,409,841,712,082,620,243,688,373,423,189,796,028,881,695,221,441,
409,209,378,113,018,968,053,469,829,186,344,329,238,752,753,848,347,718,694,
361,250,474,905,017,251,241,324,688,163,927,944,472,956,918,783,946,023,330,
906,253,880,692,668,210,428,544,132,449,463,491,780,274,051,614,638,988,962,
543,207,543,759,180,351,400,901,751,888,413,641,924,163,709,008,673,177,839,
910,048,202,679,669,746,222,401,939,359,765,087,539,619,951,675,559,250,552,
004,977,530,457,650,180,518,267,105,253,443,944,364,106,534,888,978,264,652,
296,186,604,310,175,995,404,581,628,963,534,141,775,991,294,153,318,509,849,
461,204,523,933,493,767,172,306,723,525,804,524,114,378,713,740,250,463,720,
590,466,240,068,465,950,726,662,124,079,837,108,722,070,481,207,293,219,711,
115,607,207,135,438,204,420,204,340,848,942,122,031,329,385,389,600,811,867,
860,525,495,499,123,587,957,523,370,700,200,853,514,343,012,440,108,993,370,
646,286,011,096,431,090,544,204,356,117,996,197,791,474,371,123,095,383,738,
905,167,555,972,238,393,671,033,010,846,552,976,853,422,797,696,079,594,125,
330,438,186,131,063,008,860,195,343,978,814,274,216,422,790,902,080,624,217,
492,707,986,788,950,495,449,628,942,749,668,040,558,643,682,028,834,276,932,
441,146,126,689,999,069,304,263,969,166,187,891,830,946,378,571,163,176,954,
506,866,262,325,392,645,646,179,520,032,965,130,069,423,661,869,474,992,670,
299,933,105,110,093,143,969,477,746,220,761,919,775,828,103,350,858,274,851,
539,764,145,968,524,333,609,970,572,923,324,945,820,978,716,541,528,170,187,
538,066,628,106,714,843,547,017,052,401,593,402,148,176,214,138,691,331,241,
279,070,356,437,637,660,238,523,488,306,687,040,639,995,616,622,148,099,874,
589,753,038,287,946,225,518,598,118,920,967,291,931,048,040,511,853,280,590,
797,510,476,340,640,975,324,024,082,759,559,343,246,124,946,000,826,034,346,
557,880,264,221,411,344,950,330,873,716,421,200,589,344,572,728,050,002,232,
377,362,167,189,260,549,191,489,224,998,989,057,078,624,603,210,414,316,453,
501,217,905,145,936,958,339,924,427,901,569,078,517,436,542,563,851,727,704,
654,322,655,139,889,959,944,478,089,221,226,222,953,900,835,638,494,464,636,
928,732,892,307,930,797,856,288,733,930,474,155,771,453,333,156,489,271,674,
144,229,661,988,330,696,181,003,911,888,894,028,579,507,140,636,108,596,594,
294,214,374,493,313,359,039,237,621,249,631,016,598,693,183,562,880,068,429,
669,363,254,113,266,405,181,206,436,079,329,393,679,830,160,558,016,881,006,
261,854,266,083,012,528,459,159,022,522,665,776,353,228,511,950,461,576,389,
930,685,546,450,121,219,479,656,734,599,774,434,241,884,873,755,854,272,022,
463,660,530,780,529,537,429,298,956,342,049,070,109,718,636,252,912,387,884,
363,375,501,548,670,141,726,156,057,842,723,082,226,601,489,235,131,385,672,
602,776,642,679,424,123,435,000,609,434,240,371,868,878,668,029,237,633,181,
328,774,778,355,152,654,062,500,301,095,780,599,033,760,365,313,989,615,617,
767,706,041,494,592,632,012,115,914,346,244,323,153,670,218,430,156,962,831,
984,301,324,321,348,287,983,872,154,693,799,139,455,749,661,438,102,126,450,
664,096,332,105,494,548,733,146,755,789,889,205,315,770,079,643,839,758,621,
021,520,459,300,245,076,440,760,281,858,006,762,462,980,653,588,375,419,524,
881,101,021,189,139,577,262,388,036,975,942,857,048,614,576,360,950,344,407,
460,360,615,231,714,462,041,062,443,834,441,697,545,967,955,886,460,027,645,
982,966,433,596,849,741,986,084,018,407,451,017,745,872,623,930,302,894,047,
729,073,193,134,850,683,134,965,959,781,554,349,727,054,045,451,877,310,164,
088,286,194,346,941,548,081,333,863,487,751,807,512,378,341,594,461,294,042,
439,317,737,970,096,154,648,538,246,492,290,523,626,855,251,922,073,906,542,
788,809,496,027,985,404,152,232,122,384,352,620,305,714,137,654,462,370,550,
604,829,457,747,479,395,107,757,690,503,880,568,298,256,260,567,586,327,990,
011,292,744,310,514,047,705,457,146,540,021,002,725,926,011,416,586,840,984,
095,858,230,370,346,324,159,894,208,356,251,762,627,238,447,305,983,653,829,
576,540,879,093,511,379,648,029,660,098,282,452,664,094,384,940,696,311,107,
858,430,641,995,978,755,861,315,759,094,736,374,811,477,349,599,399,050,846,
646,054,385,254,447,051,469,933,362,502,654,560,808,797,349,216,241,850,895,
832,897,329,105,082,105,493,810,937,624,325,525,124,568,993,213,009,186,309,
221,881,628,623,601,106,092,331,180,635,026,238,825,414,034,281,359,094,250,
849,319,471,603,330,537,564,927,572,057,858,003,137,335,678,527,649,426,732,
675,802,830,912,910,252,028,845,606,761,135,829,759,658,766,160,008,223,203,
701,687,831,745,092,940,968,097,837,239,555,575,451,337,235,607,254,964,531,
639,202,302,794,219,928,101,085,670,620,030,670,986,170,034,108,817,253,245,
362,120,469,989,786,030,174,006,555,392,214,005,271,052,459,228,380,266,478,
587,282,402,297,828,146,732,782,874,178,322,292,109,698,706,813,570,676,613,
369,312,678,891,695,611,637,634,197,912,272,056,093,273,781,322,027,391,941,
424,621,415,928,960,323,907,407,158,593,152,707,541,178,894,971,712,888,729,
213,114,402,702,415,644,786,827,904,613,599,693,288,635,157,107,517,113,849,
689,108,835,549,443,978,421,609,605,490,690,649,026,409,840,182,960,733,233,
674,474,078,535,949,606,733,833,488,498,002,504,771,788,958,937,913,215,355,
430,528,981,572,177,688,732,448,840,895,917,642,366,922,439,197,550,378,137,
427,992,894,547,276,952,890,887,305,368,249,942,370,439,920,803,563,941,961,
256,799,465,814,531,510,088,626,147,000,477,272,583,231,287,271,313,249,703,
831,311,268,086,236,171,142,533,737,769,104,244,638,137,464,774,445,205,088,
589,645,391,196,596,926,012,180,353,902,384,346,489,694,928,343,575,210,254,
746,117,572,587,325,525,754,177,198,768,160,532,654,763,805,975,675,665,335,
735,398,553,326,698,125,807,527,088,602,683,018,029,050,972,896,240,654,103,
258,694,562,449,092,893,925,920,887,109,905,192,458,726,892,777,495,446,846,
067,165,514,650,081,873,762,233,101,944,969,681,008,038,527,519,249,170,024,
622,792,828,350,352,511,392,921,769,059,358,594,112,438,169,451,716,071,023,
554,495,777,523,681,201,330,102,615,977,251,817,937,207,988,220,417,649,479,
998,124,640,150,486,750,393,713,307,089,914,089,325,983,755,325,982,407,657,
239,679,873,039,205,598,160,095,955,486,069,940,885,548,494,553,323,553,865,
964,185,280,110,995,912,422,579,565,336,110,890,574,225,580,114,128,025,578,
840,267,311,160,604,875,748,087,164,852,950,745,876,234,474,623,227,136,912,
686,762,313,075,096,453,343,903,727,103,527,301,601,617,217,087,253,934,515,
289,891,054,104,868,696,293,287,682,250,390,328,839,564,124,729,333,596,519,
348,307,144,079,488,863,126,261,501,726,385,326,962,131,087,787,600,155,712,
341,127,196,434,359,999,566,659,872,669,519,321,739,168,234,626,834,306,888,
486,596,519,979,477,078,970,626,633,561,320,898,628,879,507,463,010,999,392,
479,445,799,237,857,357,467,255,386,045,917,520,273,748,657,657,722,823,413,
315,477,296,722,879,793,218,893,586,475,304,516,148,651,951,527,661,711,564,
373,640,391,548,462,030,482,073,687,994,391,775,552,244,533,315,345,603,131,
374,423,376,630,077,732,075,049,448,148,429,827,522,196,062,793,675,975,376,
437,139,731,207,323,221,905,475,648,055,513,436,535,144,329,144,962,691,196,
921,830,681,950,384,179,029,645,004,757,992,539,359,591,184,256,981,811,211,
678,843,422,066,208,692,488,406,777,737,151,205,223,714,954,677,643,619,271,
005,277,893,770,984,258,678,758,672,366,443,337,442,631,639,425,808,365,501,
298,517,415,660,364,232,640,759,383,944,995,986,983,472,639,044,076,207,449,
395,009,290,250,722,383,078,344,387,473,500,418,173,775,760,298,059,040,904,
931,397,910,944,992,709,990,788,303,130,238,051,343,672,189,611,112,403,262,
095,339,682,822,002,939,857,827,703,728,798,325,599,902,237,038,593,033,332,
872,000,886,141,665,520,797,686,935,674,943,872,818,109,404,251,011,595,711,
028,452,805,386,596,840,172,873,650,236,596,396,852,214,721,834,761,958,340,
928,372,043,710,317,347,454,732,200,617,796,778,695,254,863,238,365,840,023,
851,682,851,639,549,570,221,099,880,601,544,927,493,519,895,664,318,765,655,
922,470,176,289,610,840,138,438,531,558,204,646,369,445,398,509,917,367,347,
282,381,718,476,437,193,322,117,436,006,430,619,388,487,951,024,979,230,475,
668,926,920,899,372,332,823,008,488,035,105,675,997,975,049,718,658,898,687,
343,397,873,195,134,959,763,552,837,432,511,369,352,051,357,975,523,858,475,
145,236,319,569,005,468,614,390,508,339,237,417,642,907,068,429,242,257,257,
033,405,217,706,724,835,109,462,309,195,518,532,099,202,928,012,125,820,207,
128,687,509,318,909,871,509,949,154,229,390,651,037,856,256,416,662,299,390,
186,673,212,520,746,190,497,586,435,935,226,823,016,495,018,078,620,245,164,
423,455,679,016,316,751,890,133,600,847,116,933,438,903,785,408,066,029,188,
410,256,523,862,834,596,684,278,123,893,413,579,953,502,365,283,165,596,391,
012,508,762,460,507,924,944,861,648,388,137,347,211,787,770,011,838,375,062,
190,495,238,056,623,281,677,913,582,002,199,364,301,045,879,285,652,635,191,
959,370,412,035,832,123,676,194,863,707,797,969,710,714,525,672,781,654,955,
962,528,489,861,960,364,747,238,633,759,786,079,333,277,332,346,682,231,840,
861,778,345,828,595,725,776,903,132,417,704,658,938,998,900,635,286,502,652,
412,594,483,120,620,647,368,776,987,856,597,724,674,813,125,197,648,161,085,
359,486,901,482,833,231,788,621,340,919,011,253,338,793,714,421,774,807,697,
058,009,279,441,962,193,826,362,718,498,474,841,090,635,623,068,890,492,075,
796,141,607,877,755,915,606,705,853,941,144,566,576,967,081,308,951,462,097,
686,882,475,815,594,772,044,736,400,576,814,362,937,054,343,903,976,112,813,
748,765,217,921,725,531,238,652,676,064,252,248,523,321,549,808,981,761,381,
930,653,255,619,175,274,926,539,279,754,537,813,090,709,171,878,085,262,557,
233,269,182,398,872,554,435,866,131,972,342,260,050,302,615,407,270,408,853,
726,809,184,456,457,020,023,229,293,557,004,593,469,184,147,879,448,180,856,
161,570,629,968,447,027,293,818,270,097,131,773,829,381,575,205,205,650,086,
884,991,026,924,635,094,573,932,866,931,876,788,072,030,105,925,943,635,790,
402,798,206,143,979,276,772,605,288,904,929,466,364,659,677,793,007,106,194,
398,344,293,812,622,022,224,837,370,593,187,952,808,217,564,021,672,710,001,
635,323,036,745,044,204,698,179,598,486,089,440,676,874,633,282,092,627,379,
205,660,870,431,190,253,409,441,591,432,917,076,624,922,352,570,053,428,426,
409,416,524,162,344,178,454,059,065,612,055,215,346,589,280,068,592,321,776,
086,317,936,005,349,670,734,542,960,753,233,787,442,951,958,782,068,259,386,
799,150,540,165,884,014,100,884,103,954,272,864,102,162,418,227,952,753,489,
272,683,414,096,489,374,220,692,931,621,598,190,204,028,975,625,555,182,818,
539,150,742,520,998,439,762,991,098,846,167,341,277,366,985,054,954,227,418,
204,934,025,360,022,619,885,145,252,323,618,598,159,516,735,505,407,950,942,
658,171,896,911,699,622,073,021,893,924,676,824,975,931,863,990,517,741,916,
425,909,825,841,167,250,006,663,028,110,006,498,855,195,422,174,493,928,341,
954,817,161,246,758,944,975,556,935,271,761,148,998,974,951,488,030,296,105,
089,333,792,501,151,615,118,339,181,601,857,399,553,270,393,674,025,270,947,
456,145,183,595,963,141,760,239,157,687,820,502,844,955,869,793,624,153,856,
250,056,366,743,031,032,033,986,456,092,385,914,873,635,989,378,917,761,860,
790,957,388,853,547,010,817,124,835,564,049,335,858,342,671,405,131,786,263,
427,984,249,997,810,004,093,337,118,079,614,428,959,111,604,755,553,133,450,
026,963,927,098,058,304,793,372,259,895,326,697,431,735,101,622,865,599,319,
650,151,373,004,552,598,016,944,407,566,251,451,249,680,488,760,639,756,767,
776,513,567,573,255,826,623,246,765,104,891,821,600,053,995,425,607,960,179,
154,152,118,993,149,466,202,326,469,944,411,331,418,273,952,493,784,912,984,
694,301,536,873,762,389,088,309,472,657,800,152,417,564,686,869,780,525,984,
511,341,847,655,206,027,104,743,289,130,383,422,250,978,854,333,230,955,137,
969,992,875,564,828,562,934,702,949,412,538,360,879,442,716,640,909,651,178,
679,695,669,008,351,219,008,800,511,092,187,524,426,718,691,538,600,909,382,
525,674,301,629,786,633,879,935,243,548,051,203,136,134,894,743,711,643,138,
922,138,469,839,435,093,788,124,427,715,646,654,816,524,868,660,974,014,029,
139,015,616,910,748,506,569,250,752,938,548,150,769,367,561,720,542,455,285,
162,924,222,969,471,994,803,287,472,432,523,287,586,742,907,297,711,220,566,
737,910,958,866,704,024,439,065,616,305,286,986,308,949,398,805,846,479,960,
121,888,776,204,100,179,960,910,590,758,568,831,318,057,703,280,040,917,445,
320,598,736,857,015,690,383,763,740,956,358,030,197,799,973,035,538,211,440,
167,594,401,321,094,654,687,851,973,239,553,671,036,007,662,564,214,846,958,
118,628,856,184,261,773,164,141,526,440,579,145,655,039,394,331,442,506,096,
356,950,960,513,644,252,471,406,505,269,957,758,180,504,516,931,017,949,392,
036,760,474,984,603,792,862,773,977,374,562,586,911,050,282,518,459,325,343,
630,284,558,317,800,413,202,478,965,869,245,699,859,390,634,504,851,995,815,
391,166,328,806,311,927,745,822,851,906,437,417,957,641,681,753,949,878,568,
569,769,917,023,318,117,885,460,618,258,999,113,622,272,116,895,145,713,925,
165,170,043,536,818,795,678,267,657,909,232,869,971,249,329,824,435,132,155,
965,076,038,529,097,291,364,881,630,143,340,236,682,677,033,520,531,445,492,
224,294,559,037,110,500,716,075,073,795,125,301,837,901,734,886,272,732,720,
164,459,012,681,705,744,650,408,408,834,441,467,259,217,770,531,985,301,497,
983,008,428,232,492,017,090,732,641,650,713,204,691,196,043,923,612,664,007,
470,367,009,048,529,097,149,160,325,635,896,362,006,928,106,907,703,045,080,
293,651,660,116,817,527,907,948,598,145,952,443,011,624,884,716,865,954,959,
832,197,335,614,490,964,113,527,627,137,307,150,059,691,702,452,697,034,737,
061,034,522,959,105,603,136,307,716,717,408,643,966,983,567,352,911,474,809,
226,427,913,810,789,103,432,583,693,285,282,557,194,414,834,670,684,046,521,
478,032,113,010,550,397,873,752,517,411,979,080,841,427,232,335,708,699,395,
154,136,024,173,023,449,676,974,775,626,635,895,704,155,751,229,007,605,115,
460,949,500,888,382,281,387,221,280,232,043,997,357,748,022,534,863,717,356,
101,162,657,793,741,065,407,159,558,559,082,341,402,883,551,209,730,512,117,
382,381,391,028,879,204,512,371,059,569,607,541,917,323,425,889,484,235,486,
498,132,505,006,269,208,888,009,845,992,283,977,879,426,604,840,003,212,120,
201,871,173,306,997,807,989,155,889,991,623,685,438,985,403,293,263,544,394,
616,160,562,935,853,695,153,971,446,536,774,438,259,791,717,519,070,338,330,
299,915,434,286,418,554,507,455,427,690,335,420,522,021,404,636,750,285,182,
441,731,993,151,274,036,154,121,423,593,094,462,405,062,770,810,317,406,798,
889,119,281,669,554,185,847,226,289,695,732,578,893,053,914,593,773,511,133,
416,132,019,998,718,234,463,263,203,127,433,905,172,170,344,712,972,641,464,
920,300,420,032,861,435,680,533,362,411,024,589,545,010,887,467,293,240,960,
637,143,707,700,866,978,144,937,441,720,641,001,687,994,442,735,133,460,974,
512,198,817,296,914,815,086,441,819,526,152,428,628,543,454,406,738,971,615,
924,098,949,852,273,183,705,535,236,802,311,676,696,789,077,466,899,730,286,
578,489,810,686,505,878,255,320,818,939,215,085,045,420,927,604,886,280,140,
893,129,613,008,706,704,488,902,886,332,879,030,095,200,415,475,827,601,339,
847,861,829,687,964,453,337,766,219,183,622,790,583,035,801,726,202,581,020,
108,949,755,481,092,954,555,285,077,464,034,402,107,656,240,998,148,702,215,
405,056,787,032,005,562,901,133,443,383,414,490,166,770,352,643,839,891,336,
646,726,580,264,835,063,422,926,031,054,340,588,322,478,570,825,718,286,690,
737,862,987,365,062,436,788,463,289,319,875,467,034,454,921,856,572,742,339,
711,892,929,083,736,660,974,684,071,806,173,660,876,422,965,789,349,688,417,
674,617,775,890,932,557,680,787,744,130,725,902,094,965,991,745,009,112,667,
054,406,352,109,028,753,192,883,001,717,517,440,344,358,159,867,038,588,217,
078,907,776,071,369,608,640,259,951,633,939,123,393,190,227,439,446,113,940,
596,262,354,417,595,747,064,005,163,095,359,643,982,105,455,357,986,253,912,
560,472,442,772,012,431,253,813,202,107,784,364,629,196,934,777,297,477,136,
030,454,659,150,107,049,555,704,468,755,465,051,405,332,948,797,474,832,937,
549,708,936,819,163,296,720,585,907,666,235,544,487,159,456,292,853,471,018,
018,618,382,562,560,454,979,997,912,015,101,660,440,644,914,145,613,811,624,
560,606,805,059,350,379,596,402,946,096,925,227,962,715,411,160,184,605,372,
701,806,126,521,950,290,938,839,210,168,233,416,972,661,787,941,829,039,471,
784,660,066,130,196,326,146,639,985,119,172,345,959,089,533,823,803,805,034,
866,910,110,319,144,172,850,020,388,263,336,075,134,010,762,570,519,525,444,
642,983,752,300,707,320,939,723,568,354,107,995,682,898,578,733,861,982,984,
288,256,352,347,264,481,113,393,039,966,895,047,922,148,875,181,030,919,697,
738,434,481,425,326,500,866,984,274,738,598,364,436,862,382,638,134,528,337,
283,039,729,846,571,730,849,526,642,511,545,938,883,034,301,563,213,621,630,
361,211,170,221,312,176,250,828,984,181,308,792,688,637,481,150,957,406,648,
241,109,069,505,787,460,698,402,353,701,680,866,333,778,563,511,208,220,109,
639,810,813,834,641,189,157,474,492,650,937,859,265,505,042,090,558,960,928,
674,719,145,101,405,009,276,049,929,876,621,546,977,831,977,434,418,744,472,
088,812,323,904,800,482,967,169,652,357,929,441,675,145,978,824,282,475,116,
446,648,195,454,108,019,109,965,004,337,972,172,625,013,343,630,307,492,472,
499,633,317,624,351,596,322,720,387,209,514,670,130,202,155,996,066,454,596,
952,413,986,206,667,173,536,956,499,747,220,178,173,164,693,674,214,746,325,
824,840,235,310,977,222,037,985,339,821,880,895,884,403,635,225,485,882,539,
097,237,050,363,977,254,191,299,547,228,305,428,970,316,468,203,534,775,144,
196,460,538,654,136,964,157,543,824,225,532,714,813,568,744,335,570,546,712,
634,676,558,819,076,209,065,734,130,943,902,693,734,024,820,735,030,139,828,
902,066,559,151,788,957,455,780,007,671,336,111,507,397,348,810,198,117,938,
363,138,866,703,994,551,728,620,042,326,826,708,358,293,853,769,395,779,870,
719,993,507,918,079,752,350,704,801,124,798,081,789,439,862,864,146,741,765,
250,123,331,955,502,949,766,292,328,685,539,188,183,652,534,723,675,127,012,
938,356,438,665,062,746,559,551,030,286,097,256,102,686,724,603,372,558,343,
522,444,906,204,209,067,328,000,389,142,840,501,107,090,309,475,365,912,411,
611,415,708,740,861,659,307,032,815,657,402,843,407,690,709,596,774,617,021,
161,768,214,944,102,467,673,239,823,675,162,108,414,867,510,792,530,808,608,
517,791,141,700,161,182,676,635,083,183,684,350,454,593,718,737,862,039,350,
262,807,346,416,923,366,091,093,073,064,378,150,510,296,755,787,388,537,565,
376,667,824,536,124,308,360,448,239,870,359,804,276,186,313,392,137,889,174,
127,778,566,997,760,838,266,325,639,711,146,319,878,453,167,815,306,512,923,
301,534,314,770,503,572,192,040,365,302,171,028,739,527,530,601,557,613,991,
273,270,377,374,928,718,218,012,459,648,110,420,944,740,259,532,365,148,455,
690,911,244,937,510,749,396,791,319,599,051,701,992,869,386,148,810,778,294,
776,923,420,945,189,706,086,391,186,196,058,359,001,273,715,330,725,894,020,
974,942,927,341,763,289,299,825,429,969,011,905,138,672,712,859,684,676,624,
606,391,373,863,213,670,035,440,745,492,011,957,125,038,124,853,327,499,386,
871,939,413,913,072,521,634,935,135,939,576,207,886,433,334,927,991,466,668,
169,674,100,698,347,346,745,797,664,248,891,590,587,523,261,924,513,455,700,
713,029,674,077,237,758,166,321,897,261,424,175,852,437,709,932,997,764,546,
561,236,806,743,737,797,508,722,693,126,806,657,582,404,681,227,635,052,268,
634,034,352,499,711,174,019,350,452,411,161,045,563,623,953,565,342,154,798,
894,465,966,782,530,316,512,133,111,899,262,681,108,918,700,897,908,958,848,
114,174,092,362,257,361,892,031,972,498,001,405,821,900,541,415,685,923,962,
126,574,602,100,977,035,934,250,566,956,973,486,310,262,987,227,561,171,447,
431,127,286,362,264,563,658,708,344,312,516,942,019,153,264,852,645,470,183,
894,325,097,892,290,230,379,999,965,993,832,567,041,368,758,353,392,029,244,
858,477,423,694,923,560,133,797,882,489,613,852,606,235,443,895,534,564,957,
468,706,304,731,141,619,903,716,166,079,592,921,234,181,018,507,964,861,230,
832,456,248,939,415,598,245,675,138,887,986,555,362,238,658,888,810,693,818,
016,124,396,454,195,687,044,349,431,836,262,951,085,118,213,851,099,812,800,
125,824,024,367,519,194,569,043,989,108,986,721,034,326,441,829,673,407,648,
093,423,663,489,380,598,684,865,922,747,536,338,583,598,163,418,395,582,882,
069,747,321,107,895,818,014,628,318,283,194,561,600,118,317,445,572,508,308,
152,357,051,418,021,786,946,180,856,670,989,452,717,569,782,851,793,147,398,
937,716,714,022,801,597,260,554,528,471,774,468,720,901,886,045,618,622,211,
445,529,614,974,603,124,695,415,383,760,274,155,362,412,577,650,780,734,850,
572,200,594,348,936,406,405,131,970,597,218,960,781,355,868,962,493,884,907,
778,498,224,567,436,499,569,604,604,900,833,194,607,677,974,941,526,623,725,
882,611,132,204,875,252,529,284,206,161,813,157,009,862,782,561,107,756,836,
922,745,482,788,352,491,118,861,046,451,136,709,433,974,221,992,135,393,778,
993,658,934,576,560,353,597,600,628,850,724,007,298,149,045,836,819,275,566,
682,745,841,914,303,183,612,582,139,780,621,250,080,676,076,967,095,959,763,
740,923,965,759,503,056,805,481,119,994,789,607,095,597,260,760,056,097,329,
319,608,518,974,886,436,324,651,920,610,684,845,655,800,843,516,189,599,118,
686,881,926,065,405,657,519,375,708,421,675,261,475,006,421,193,768,390,582,
674,307,742,433,571,557,644,346,122,443,737,930,226,238,722,773,795,771,331,
307,944,406,528,034,917,509,184,587,537,253,370,118,456,126,493,541,264,813,
986,074,977,867,725,212,941,434,864,633,664,921,241,666,760,011,136,539,162,
657,188,213,752,434,989,742,354,821,663,443,143,799,968,654,827,193,105,123,
212,491,944,935,245,028,943,131,306,745,509,313,297,672,825,957,652,834,069,
883,352,832,173,110,936,676,843,485,384,533,122,131,100,573,725,672,938,221,
667,716,611,671,208,852,049,958,496,178,791,620,780,488,259,392,602,697,805,
300,212,132,018,955,660,842,912,702,326,862,085,200,635,770,584,943,357,329,
263,300,894,692,242,701,105,084,979,892,721,057,925,034,383,446,146,368,184,
791,483,255,174,785,880,557,280,201,905,736,216,040,007,624,742,548,951,562,
201,109,201,290,185,944,234,320,920,678,723,082,046,711,725,372,034,278,205,
038,760,160,335,995,541,461,592,882,610,718,377,400,706,252,773,327,364,735,
694,693,661,452,716,515,603,163,141,582,289,678,133,675,813,594,909,313,061,
004,615,496,172,025,963,059,536,124,647,752,377,700,535,962,669,095,026,377,
040,248,726,243,341,257,063,604,172,346,837,251,237,719,858,718,881,907,612,
127,242,316,724,628,575,289,518,168,589,578,547,061,200,237,460,835,840,204,
909,555,499,086,415,150,653,886,129,344,625,618,783,248,888,300,654,851,219,
169,663,478,199,193,688,625,158,668,045,310,710,669,271,407,264,835,971,325,
760,184,667,085,689,451,499,006,773,273,883,920,132,754,005,301,605,402,684,
744,288,524,107,195,200,010,074,894,770,394,885,471,109,106,655,015,224,644,
688,109,849,626,269,875,120,702,933,945,401,464,344,473,627,285,141,656,267,
316,607,675,731,617,741,427,759,489,824,989,308,799,390,465,223,740,592,852,
952,622,728,801,101,192,979,210,919,157,907,692,687,831,765,619,805,703,692,
377,216,752,215,381,743,980,397,030,984,765,594,420,074,815,054,957,441,565,
433,195,025,885,452,293,218,601,159,056,891,791,455,866,781,463,077,176,550,
994,752,262,499,177,447,542,005,277,223,660,934,254,331,793,166,443,966,642,
083,240,330,709,884,604,868,296,444,715,408,264,483,694,548,796,551,036,883,
788,781,251,553,608,093,465,192,175,069,537,846,865,556,729,933,704,904,177,
381,121,443,910,049,012,527,233,045,797,643,842,895,555,267,825,247,769,667,
583,505,393,485,755,004,411,953,793,209,926,541,491,121,423,606,140,022,513,
862,431,723,743,387,602,500,963,508,758,163,003,094,915,840,169,653,153,105,
938,115,997,145,403,948,704,048,033,988,921,416,191,463,974,732,721,922,484,
848,357,762,264,963,998,878,645,313,920,634,296,408,143,418,766,367,718,344,
170,632,571,241,687,591,705,319,384,636,172,541,029,521,728,200,470,406,646,
254,990,192,329,222,510,419,785,742,217,804,969,436,738,887,157,943,324,000,
737,269,569,838,748,596,790,516,945,792,333,707,814,299,553,718,855,603,856,
436,161,902,429,912,386,195,545,502,942,414,783,893,300,845,078,068,486,583,
532,142,738,122,231,826,069,741,343,451,733,557,211,435,758,658,850,026,302,
607,873,708,860,412,689,909,828,272,762,505,564,304,249,586,071,244,216,817,
295,287,092,933,349,808,165,665,913,950,788,838,056,758,567,511,924,326,646,
722,509,877,146,477,152,662,634,936,266,864,815,447,520,165,764,669,980,849,
686,841,537,546,154,057,854,067,789,867,299,023,917,018,756,929,737,819,138,
592,748,862,762,932,788,915,786,310,200,922,039,440,712,153,447,485,804,014,
025,298,561,041,995,347,329,507,004,403,109,819,063,268,829,054,187,406,990,
316,362,658,432,779,124,183,579,404,259,528,296,498,240,213,354,351,467,798,
969,577,134,575,306,979,562,079,103,920,318,840,477,515,558,580,020,312,078,
783,396,483,659,597,087,097,706,900,668,105,000,429,750,078,381,948,303,928,
580,848,249,404,513,834,358,032,561,128,348,326,761,434,417,544,768,863,108,
913,588,224,330,663,006,468,383,292,551,211,974,819,966,699,393,950,473,723,
281,404,797,957,500,144,329,395,456,255,940,123,389,498,822,505,360,326,404,
367,967,869,983,877,112,865,486,807,047,961,008,846,899,303,404,419,170,146,
707,577,780,522,351,269,997,799,686,560,374,019,327,723,896,693,985,605,955,
946,753,432,575,846,541,112,452,800,988,183,760,895,371,632,631,524,721,219,
559,783,699,879,334,372,251,116,004,032,723,930,711,724,708,792,068,119,829,
368,376,864,953,404,030,070,128,511,214,106,771,772,572,225,494,158,111,322,
671,410,520,015,636,574,476,332,015,644,743,860,468,424,555,901,038,545,314,
557,038,739,062,276,519,087,390,948,803,568,894,874,871,587,252,152,530,893,
492,930,614,036,861,229,954,503,788,115,882,288,355,476,960,232,333,769,492,
590,235,480,512,053,673,789,673,566,124,225,931,757,877,736,795,311,288,980,
116,664,033,004,545,016,545,757,973,564,198,055,772,693,200,119,466,343,854,
220,552,749,052,823,947,194,631,136,999,938,102,365,258,226,752,984,745,051,
984,161,569,555,684,136,123,578,634,047,622,153,991,204,364,477,863,853,036,
685,933,805,789,100,728,122,126,083,039,848,186,081,486,821,270,370,318,227,
027,960,025,315,898,108,824,059,766,952,052,294,069,389,479,447,082,878,295,
408,524,838,964,575,230,620,601,134,613,805,707,202,750,618,705,214,762,897,
870,647,558,215,373,931,611,017,870,632,734,249,235,453,785,872,549,363,132,
766,774,128,038,275,361,783,322,285,549,786,322,400,348,782,664,817,547,901,
647,069,925,756,569,027,033,408,330,574,337,720,787,496,075,610,816,447,546,
616,192,809,695,787,732,979,707,908,294,365,248,375,608,458,341,976,881,373,
469,176,672,293,855,235,761,411,817,864,286,596,083,116,955,371,155,199,054,
352,857,031,754,369,145,569,574,652,664,803,585,338,886,424,945,606,796,280,
945,719,461,157,524,055,715,109,292,516,240,488,340,558,191,579,938,678,319,
488,017,993,146,890,133,430,039,912,992,248,191,241,957,044,694,843,928,400,
648,067,283,452,290,393,295,384,210,206,648,033,382,633,886,007,408,399,359,
025,208,865,749,670,524,498,230,768,438,652,010,641,895,544,362,425,366,902,
451,924,571,192,119,279,518,128,940,135,185,113,607,917,443,385,294,194,491,
806,164,371,118,440,114,684,075,661,133,474,018,212,052,391,909,694,185,610,
082,819,343,566,933,706,666,509,312,868,875,029,475,194,445,879,082,948,836,
055,103,304,729,697,957,653,331,497,853,112,364,175,865,153,877,395,489,090,
486,657,521,196,365,884,686,493,603,717,536,466,415,337,354,731,818,811,703,
367,345,444,576,372,479,857,099,772,066,497,495,490,385,193,212,967,052,239,
620,423,036,177,217,624,943,066,027,121,371,298,993,177,868,316,838,151,590,
821,212,097,795,059,234,017,417,473,515,432,203,945,873,139,484,309,361,860,
969,506,837,725,672,012,328,065,669,519,136,015,630,836,735,592,540,114,556,
271,520,636,738,028,033,330,168,416,225,691,954,605,855,729,106,401,982,183,
518,875,104,367,773,802,675,886,471,773,478,135,888,144,123,617,387,982,144,
666,741,921,436,910,764,605,220,824,340,245,846,824,394,626,615,173,843,534,
972,374,258,898,992,484,407,537,689,831,506,151,305,297,664,171,173,405,973,
062,755,019,420,083,981,023,775,871,140,903,276,127,561,395,660,503,227,790,
671,543,143,613,721,724,839,006,340,754,858,433,363,678,755,448,932,613,415,
314,741,463,546,972,571,650,128,012,042,935,173,250,555,214,042,163,895,862,
949,230,039,927,108,857,355,215,062,399,430,321,455,247,403,757,570,363,566,
247,247,824,612,624,757,130,198,788,645,144,587,084,355,336,126,980,760,136,
248,507,186,658,001,023,830,777,477,467,166,004,351,802,438,112,008,202,266,
507,805,776,613,600,545,235,166,935,965,577,506,465,850,519,144,056,257,968,
750,990,585,333,942,615,912,907,093,740,227,864,573,557,224,549,610,523,981,
797,533,329,686,969,271,588,456,978,075,714,122,206,733,493,314,077,182,197,
273,114,405,775,027,081,331,612,621,088,503,701,993,449,752,927,861,687,384,
999,570,973,339,231,979,946,697,889,757,548,854,393,995,279,432,837,946,797,
674,602,352,536,826,469,098,797,154,774,352,775,837,230,002,966,469,371,250,
725,210,944,756,241,288,678,793,086,273,050,757,595,339,560,897,235,451,946,
622,243,468,584,302,460,500,330,361,340,803,021,123,837,817,504,557,456,260,
667,095,533,467,914,057,018,656,801,923,303,522,516,896,662,662,060,369,211,
460,798,398,469,944,415,869,606,516,903,399,623,413,733,191,354,034,034,401,
985,745,193,292,746,592,576,756,424,821,006,059,660,781,865,643,984,209,774,
614,026,765,596,039,252,726,071,617,896,705,933,528,945,889,324,287,727,780,
542,989,240,976,223,732,582,218,836,681,026,266,835,679,402,814,967,145,299,
287,548,268,775,005,563,812,268,026,800,255,004,357,370,778,857,640,791,589,
683,603,398,578,364,956,920,111,547,583,138,446,895,155,428,933,739,969,453,
399,591,803,678,756,463,450,403,481,073,349,272,928,570,107,166,103,220,515,
423,906,080,233,405,557,380,180,769,861,469,614,957,022,448,391,029,415,302,
379,069,734,105,954,148,128,905,503,512,760,996,078,812,255,248,367,748,294,
908,705,915,589,696,435,462,957,303,298,406,269,872,856,427,467,906,879,413,
868,485,874,825,048,628,959,725,154,003,387,473,456,804,540,799,659,575,009,
987,544,648,224,496,037,888,854,516,862,523,473,404,151,756,292,604,650,451,
568,620,565,200,246,075,811,634,843,508,738,989,793,844,760,452,846,804,031,
091,475,300,207,763,890,414,756,412,661,839,312,460,476,723,110,971,742,810,
700,894,635,225,891,673,923,986,609,967,967,265,782,497,795,872,582,974,078,
573,522,542,695,891,394,970,291,606,278,260,387,007,408,099,541,254,560,926,
245,931,336,765,742,348,598,913,600,746,123,483,705,740,273,789,310,932,465,
978,183,295,709,616,764,784,871,890,558,103,880,048,355,892,362,461,248,536,
464,345,475,554,276,093,660,286,332,262,962,175,006,946,935,699,573,982,822,
060,567,047,193,032,534,886,036,860,457,745,608,266,776,975,848,369,143,835,
356,161,830,917,882,641,775,284,895,077,679,685,419,374,456,410,248,471,807,
039,426,275,474,985,873,590,861,359,353,135,270,117,857,286,964,506,293,844,
364,567,017,409,072,741,778,639,169,957,515,225,908,068,242,346,504,208,867,
402,606,072,731,223,397,371,762,289,930,457,062,225,220,609,331,030,603,209,
786,131,374,094,938,555,846,459,184,063,884,198,030,043,758,582,437,530,989,
362,473,731,875,638,717,060,527,310,822,582,320,917,298,336,402,588,357,581,
569,481,856,312,875,838,638,707,309,939,010,997,553,940,051,933,230,697,056,
059,749,980,647,637,387,433,198,512,251,724,554,761,667,637,965,631,291,690,
452,992,372,185,132,812,668,592,319,507,780,892,253,927,527,336,722,957,326,
854,098,921,838,349,751,442,620,048,241,340,379,645,873,037,103,350,294,583,
362,993,801,310,403,991,833,119,679,270,633,880,056,795,572,792,983,067,675,
155,182,770,299,480,607,656,352,386,877,046,092,514,914,514,073,030,139,621,
949,790,203,377,886,035,056,203,391,479,158,668,519,616,018,432,428,937,783,
763,900,052,087,916,195,824,624,084,665,718,436,353,487,803,405,554,156,943,
078,940,943,686,348,468,756,158,850,177,839,361,845,256,133,258,723,952,315,
599,086,458,007,034,406,843,897,488,120,608,620,587,002,745,183,673,765,834,
067,791,849,038,448,475,334,926,823,460,675,844,247,466,352,450,967,548,681,
402,848,608,674,386,305,729,767,933,565,258,459,750,504,246,900,917,971,555,
530,243,712,695,538,243,544,519,647,474,499,610,084,604,739,879,451,926,440,
342,927,462,387,887,997,784,735,441,025,832,163,527,636,465,373,351,039,738,
052,932,600,606,070,994,573,240,725,609,899,951,203,298,949,741,459,942,817,
813,082,098,792,502,447,920,383,171,211,810,257,447,247,976,964,235,313,802,
209,354,395,377,705,307,986,124,970,040,621,581,857,700,009,259,166,082,969,
858,849,684,331,024,637,227,656,470,804,195,207,605,873,270,725,097,583,282,
451,988,622,496,204,287,324,648,434,702,902,487,942,425,762,866,253,723,035,
349,571,240,798,686,449,500,712,898,092,341,166,691,257,738,380,648,794,614,
268,677,904,637,787,172,079,758,580,224,651,039,556,614,221,126,095,316,971,
519,587,396,024,755,903,976,872,745,649,001,240,584,193,166,511,603,678,157,
677,068,715,353,659,938,894,678,970,041,748,441,012,127,315,496,201,080,792,
775,497,486,122,447,459,524,156,265,206,184,941,441,404,854,466,495,226,315,
017,283,595,363,273,594,161,618,367,279,888,926,272,866,973,847,623,571,974,
388,980,173,652,825,413,757,106,001,236,262,466,293,980,830,326,038,017,015,
212,001,068,765,347,680,470,302,289,050,308,573,834,527,271,892,804,105,547,
922,259,006,159,477,620,209,003,888,192,665,576,401,370,689,729,464,687,812,
149,414,324,161,825,406,056,205,829,467,510,287,338,123,490,942,300,120,975,
887,839,572,139,843,165,436,230,551,920,180,472,623,405,202,774,131,852,919,
014,125,121,153,029,299,215,146,782,393,809,382,130,133,429,503,924,416,438,
549,799,927,972,565,517,600,179,501,480,644,848,813,760,487,823,354,150,409,
976,963,799,059,471,182,628,772,565,689,990,596,010,401,054,960,114,226,554,
584,949,371,789,735,028,636,944,500,550,683,737,706,959,495,038,237,066,402,
574,685,864,001,498,221,604,434,254,931,512,213,136,061,633,834,775,322,619,
567,855,100,725,326,513,886,410,981,176,405,353,875,487,679,108,549,006,712,
762,170,596,321,130,837,226,247,574,772,360,236,693,020,172,774,783,166,304,
728,976,827,464,346,235,037,920,428,840,311,470,480,260,070,913,956,656,360,
531,419,419,608,765,821,110,828,159,434,912,705,637,817,959,376,989,274,531,
244,041,120,034,714,624,485,535,029,229,489,711,704,860,768,803,595,517,291,
455,087,345,444,536,510,033,061,330,254,734,371,986,148,675,179,156,813,143,
894,378,509,740,944,856,791,033,271,521,749,530,628,996,364,477,695,786,095,
429,913,459,400,448,277,191,480,841,026,540,444,461,289,116,479,965,722,550,
922,598,673,569,888,505,659,012,357,149,048,830,657,373,434,421,084,676,780,
054,378,885,965,480,122,095,054,353,934,109,477,890,744,663,273,570,130,629,
974,445,639,360,557,441,951,597,543,309,192,037,122,994,233,395,672,037,712,
801,585,088,644,894,657,457,831,950,049,848,428,574,786,771,153,564,068,059,
766,440,732,409,859,272,668,794,888,017,859,956,211,107,492,305,173,745,491,
500,760,816,214,882,069,402,926,753,928,099,444,896,328,146,045,660,152,270,
732,728,329,276,479,147,452,802,622,787,305,010,588,872,335,983,405,492,670,
548,049,741,016,187,089,160,733,632,692,897,774,963,222,353,062,268,646,053,
153,688,747,696,873,100,472,719,626,653,328,188,431,928,997,240,021,978,199,
772,501,065,976,342,984,757,421,377,143,142,376,601,461,083,584,392,314,436,
034,517,347,985,522,433,564,813,307,095,997,406,127,827,680,055,908,087,117,
216,340,800,764,676,733,331,649,291,468,335,431,918,595,263,450,899,598,483,
196,323,008,769,505,255,871,484,732,552,361,319,044,711,248,241,770,321,849,
060,615,278,637,025,862,175,586,286,341,876,734,690,937,532,074,689,136,240,
037,986,779,564,187,867,489,312,218,976,082,906,590,612,236,767,263,207,779,
015,651,285,626,781,150,573,737,862,570,339,753,601,965,896,760,803,353,066,
617,174,713,244,775,490,494,873,936,460,950,754,768,830,230,325,023,665,760,
878,413,694,139,337,928,522,466,402,019,753,918,484,939,173,328,590,311,435,
261,668,015,856,886,032,398,250,233,735,801,751,219,067,013,724,155,009,401,
728,444,778,619,167,894,707,595,259,711,337,787,119,387,865,830,691,768,723,
938,717,326,162,324,529,374,437,872,664,591,124,828,730,888,706,080,406,412,
897,184,732,048,677,776,294,966,593,115,559,360,140,648,800,688,956,162,979,
988,756,277,204,906,749,783,750,162,369,613,954,099,338,495,645,179,060,140,
038,247,180,155,163,434,687,134,126,142,720,119,657,876,235,372,656,120,242,
999,718,371,163,012,858,908,014,412,928,329,438,199,953,152,380,720,781,998,
938,572,072,615,279,314,600,595,712,845,061,219,286,656,347,271,867,983,772,
159,343,613,708,091,289,592,715,895,649,248,674,753,023,940,262,128,788,072,
437,221,905,511,390,645,645,975,177,432,444,874,585,885,942,617,616,231,239,
850,944,982,269,474,079,171,359,347,722,189,342,325,091,813,130,341,884,887,
565,074,983,101,103,171,114,634,275,231,780,703,117,847,647,084,490,845,013,
104,202,177,165,146,385,795,275,956,553,623,682,332,920,537,782,774,820,776,
967,475,885,474,079,546,591,799,054,546,640,942,599,206,304,627,775,147,185,
925,693,281,982,066,674,687,059,630,294,867,513,720,175,623,183,245,293,888,
329,639,500,778,220,432,726,299,823,569,658,513,994,321,801,235,873,774,738,
362,329,153,002,288,503,668,479,683,589,016,507,555,598,567,821,455,131,516,
837,350,520,467,358,605,152,775,746,008,487,511,926,811,133,479,623,105,047,
422,160,671,329,166,965,027,297,633,457,125,683,019,372,541,945,482,765,074,
665,241,875,280,114,810,301,646,225,408,690,875,044,587,392,053,168,309,829,
066,565,108,261,770,935,564,490,954,859,684,254,942,658,831,384,489,808,304,
983,598,417,467,603,582,120,305,146,874,541,167,479,068,534,680,221,370,540,
887,085,808,321,928,100,806,496,268,273,385,941,453,393,605,383,200,891,174,
242,376,474,916,915,017,289,359,177,652,130,509,630,821,795,261,254,599,072,
413,556,043,389,199,046,180,214,927,550,652,919,612,984,852,290,992,959,395,
163,324,878,270,634,528,434,423,110,341,625,955,691,831,818,431,183,752,465,
363,589,925,190,119,790,857,894,535,493,256,492,033,733,743,183,695,033,769,
573,345,225,371,480,190,709,818,731,922,585,470,397,996,211,946,577,677,751,
019,092,731,888,401,747,010,763,686,649,328,254,382,515,790,797,515,544,708,
332,388,940,326,710,790,093,115,444,567,924,324,855,016,086,640,662,649,050,
316,338,328,282,146,436,170,154,927,532,235,135,464,310,994,661,767,770,501,
432,371,603,531,207,274,960,933,250,524,077,796,470,478,377,818,777,731,206,
346,861,578,004,629,021,914,348,629,957,127,635,514,395,844,899,680,649,135,
534,489,218,011,586,240,676,468,432,877,577,440,893,576,766,746,141,898,069,
435,850,082,960,015,975,028,793,719,428,705,150,017,723,681,049,249,883,332,
626,718,374,538,613,347,000,879,921,179,650,272,821,898,008,492,507,664,654,
393,405,269,411,594,778,648,949,739,113,177,026,608,934,177,376,215,963,896,
834,042,189,597,950,201,776,943,119,441,155,203,209,829,402,673,617,936,292,
388,962,168,554,730,720,104,443,389,019,264,645,272,221,549,057,588,050,404,
293,418,690,738,774,881,614,899,544,168,412,736,065,355,870,849,641,034,487,
378,505,176,464,383,215,740,643,443,015,858,108,863,453,447,065,042,017,611,
634,095,902,445,830,086,491,315,278,017,026,389,683,679,967,119,181,160,326,
306,880,355,276,026,467,005,352,117,574,645,470,311,361,880,651,430,959,060,
492,563,777,232,106,254,860,420,330,337,790,022,623,522,499,291,214,907,378,
387,934,289,196,042,864,151,575,185,968,857,566,887,693,013,619,659,796,177,
210,194,769,990,034,242,439,086,910,488,234,453,869,646,797,955,401,322,642,
535,766,837,835,035,145,716,433,757,770,603,779,695,951,014,514,710,861,039,
979,281,767,430,706,925,980,981,482,802,154,906,873,129,439,159,048,415,036,
051,447,947,610,427,015,726,997,257,499,302,099,657,601,734,283,351,348,848,
328,582,270,011,954,912,658,611,841,342,779,692,930,092,010,032,197,716,160,
897,556,794,445,169,631,702,490,925,965,001,583,731,681,974,180,338,856,904,
410,624,934,440,476,268,831,633,524,331,828,944,468,618,115,399,136,149,854,
018,320,226,536,252,060,920,345,152,067,015,009,676,466,406,853,713,035,590,
424,178,075,296,656,284,990,452,620,752,988,662,358,602,223,311,457,360,494,
670,822,758,607,235,388,123,504,067,586,290,452,205,073,749,842,506,076,376,
791,230,292,871,613,234,595,081,202,114,614,214,337,821,660,779,732,268,111,
766,897,326,701,046,810,517,431,340,967,062,050,943,847,569,080,805,650,279,
923,079,890,993,350,410,155,155,914,955,844,194,449,270,401,374,316,031,668,
516,874,672,400,876,049,379,999,120,255,265,717,113,859,843,841,566,754,671,
926,684,486,928,376,769,558,234,436,847,308,158,301,400,133,655,597,896,391,
253,053,589,955,090,992,073,538,366,547,448,985,991,873,990,011,966,397,657,
172,175,642,375,253,940,148,309,970,525,582,889,031,550,551,448,665,364,237,
339,602,087,928,438,505,867,124,373,989,992,310,041,541,526,679,911,574,155,
984,421,705,020,379,788,021,779,798,928,049,583,842,218,055,089,296,201,861,
896,497,371,842,681,707,122,262,169,065,404,709,393,813,578,902,590,165,273,
137,417,682,266,455,420,795,974,847,901,022,283,037,681,217,429,004,394,871,
996,327,392,424,389,328,629,059,323,706,447,330,522,212,294,509,142,125,310,
967,666,469,045,526,671,068,988,207,184,308,487,506,182,102,408,972,397,932,
160,434,690,253,930,906,586,066,669,063,815,078,551,577,175,670,239,396,173,
827,785,897,170,391,512,971,999,263,088,922,285,335,442,343,717,254,229,790,
923,763,975,424,507,164,337,217,430,594,173,540,774,547,830,028,316,696,458,
286,493,536,880,705,748,351,775,059,601,278,157,086,219,441,094,622,674,127,
623,759,711,714,864,730,124,910,569,909,268,950,895,556,110,584,278,498,689,
866,135,281,872,220,001,408,419,691,360,704,377,543,238,962,908,702,293,053,
019,262,110,080,947,812,481,415,421,352,724,466,533,148,231,781,578,999,314,
437,459,029,792,901,672,103,786,745,038,360,137,781,439,893,135,277,832,211,
307,827,394,845,250,501,858,348,565,641,907,818,450,240,267,420,834,530,597,
058,044,360,246,935,946,123,973,092,170,760,062,597,933,032,800,917,190,141,
774,640,448,504,276,794,160,382,569,958,458,567,576,911,237,756,609,480,010,
394,064,875,249,284,578,643,250,899,165,879,486,736,365,069,533,877,539,950,
846,674,240,309,550,454,674,407,537,640,674,438,511,214,703,747,380,042,748,
226,919,916,644,489,852,716,908,374,010,127,391,524,648,496,678,842,809,305,
569,881,510,862,906,488,004,223,026,249,172,562,225,234,305,141,025,858,106,
970,618,434,212,201,450,420,877,472,487,009,693,869,317,288,226,300,410,222,
561,434,244,899,803,150,285,096,550,537,767,064,032,455,944,037,408,918,401,
973,663,800,897,949,936,646,176,404,950,230,286,878,220,931,420,256,024,198,
582,145,941,271,848,556,934,935,543,218,047,098,763,162,486,704,419,977,464,
430,695,313,549,037,930,115,600,600,686,342,998,806,130,399,898,612,214,985,
404,920,783,864,219,022,820,266,188,197,686,041,471,120,980,639,019,561,218,
835,296,842,862,813,540,575,359,345,014,171,475,051,722,032,831,482,274,093,
144,674,411,105,016,729,127,472,383,477,671,431,627,957,034,383,989,270,904,
686,708,827,410,968,267,277,207,502,625,774,457,865,778,721,424,070,579,210,
011,808,415,215,435,870,518,503,401,219,354,615,580,581,152,610,971,350,785,
730,898,860,448,036,095,497,790,105,641,358,263,583,176,800,900,538,818,842,
625,852,117,975,128,339,575,745,384,244,352,446,015,227,147,317,751,793,225,
877,728,344,660,334,935,051,751,213,126,924,307,307,610,515,063,219,309,473,
777,750,801,391,734,097,016,205,002,749,779,917,892,102,220,465,457,749,418,
189,031,770,706,206,302,528,013,069,865,035,331,663,886,955,032,451,772,513,
469,630,684,313,735,903,952,300,313,460,598,571,454,120,956,347,907,651,636,
385,779,650,690,080,779,711,985,383,785,879,954,681,943,458,323,532,550,319,
361,032,004,017,080,355,944,652,417,396,162,631,286,253,160,305,123,237,548,
101,941,588,641,306,301,484,018,653,072,326,664,006,280,875,863,002,641,054,
440,407,378,567,030,706,733,039,982,797,286,484,767,816,574,179,039,334,848,
117,756,026,529,805,135,954,973,977,163,825,011,854,778,651,087,562,253,309,
864,407,871,651,541,403,043,006,425,173,397,002,391,829,467,267,632,509,095,
182,372,947,398,897,498,294,075,167,542,990,145,404,614,486,591,206,318,460,
440,289,907,084,869,614,332,543,196,712,194,767,730,767,804,030,499,323,310,
097,445,208,857,996,578,772,694,154,769,306,799,043,589,340,729,617,937,781,
724,802,155,881,165,608,662,959,156,865,041,054,995,245,922,964,021,908,097,
570,906,833,068,780,446,295,790,895,364,593,939,740,130,533,676,579,948,846,
835,321,859,734,387,639,823,712,033,198,224,123,345,462,626,843,695,073,782,
119,482,574,282,714,335,989,656,782,527,060,573,858,414,955,804,971,602,568,
935,946,323,600,678,079,915,694,566,625,734,464,609,207,170,177,335,937,752,
894,355,181,356,174,254,315,303,705,081,427,842,445,119,872,508,735,014,725,
472,758,292,435,933,159,995,797,763,805,012,387,946,528,810,852,900,549,063,
006,184,852,414,335,849,094,515,156,428,747,346,355,978,778,537,134,205,492,
322,064,954,803,438,408,433,772,030,744,009,354,462,756,306,916,053,509,768,
112,494,064,531,102,699,207,346,902,559,724,409,826,326,623,046,963,362,855,
960,262,566,505,926,948,658,708,510,343,574,208,246,116,778,469,972,267,192,
900,153,371,749,639,148,702,551,462,028,445,980,500,390,650,834,101,280,113,
300,308,446,818,713,020,362,981,767,145,114,797,634,966,776,743,672,204,338,
853,809,990,718,477,809,049,386,247,313,320,542,229,480,781,458,112,292,062,
495,765,356,396,685,366,570,921,545,848,443,682,676,598,827,982,315,138,428,
267,755,507,158,096,510,840,269,258,591,014,217,451,662,767,497,865,487,804,
495,331,636,157,025,635,988,935,795,686,572,156,630,934,344,123,207,990,818,
885,154,859,439,255,057,933,408,885,689,226,529,940,052,559,785,100,267,722,
020,409,256,189,291,891,407,762,338,347,707,594,179,812,037,652,929,264,814,
546,669,689,053,500,007,023,501,025,086,775,502,135,371,766,843,926,165,596,
022,590,678,957,457,683,054,205,534,761,549,236,416,700,342,416,078,302,975,
784,962,503,275,364,985,299,940,129,548,077,249,476,086,677,900,933,036,650,
345,617,180,161,517,732,700,232,079,879,616,750,945,534,055,864,298,272,356,
020,535,122,882,001,143,917,175,771,893,964,207,512,022,517,376,478,330,770,
344,221,585,088,225,636,008,533,562,760,764,277,059,957,911,281,133,968,622,
079,015,265,861,426,781,329,202,558,578,795,431,649,303,916,346,233,125,794,
156,694,972,187,087,909,862,561,315,573,146,701,593,617,025,069,158,796,637,
851,549,762,400,781,277,659,512,771,893,644,905,011,677,217,860,649,680,646,
241,643,745,635,746,787,794,319,905,976,252,079,607,412,674,664,141,098,860,
602,562,717,386,775,842,173,837,742,696,778,339,747,857,616,769,294,597,300,
420,962,661,831,928,885,714,693,764,912,771,957,006,720,599,917,125,812,749,
212,995,778,774,638,164,517,761,652,801,021,220,010,351,264,038,292,660,497,
487,290,913,547,005,005,114,124,782,855,245,828,612,586,086,945,491,992,637,
108,230,715,435,244,562,206,313,512,386,573,927,472,511,637,719,894,090,242,
867,262,593,595,081,277,718,039,385,947,588,967,966,869,064,282,610,545,998,
829,163,453,141,767,012,236,069,872,176,497,432,813,352,440,014,190,759,714,
164,310,299,407,306,573,082,238,590,641,551,026,280,895,223,753,351,695,731,
547,030,625,581,357,967,824,938,922,880,647,665,233,661,635,248,671,830,843,
481,992,606,131,316,773,998,094,680,165,901,931,832,560,839,169,389,555,956,
777,108,857,909,387,165,593,317,542,697,128,505,135,148,558,204,886,508,857,
939,015,227,107,275,203,781,735,159,778,019,670,699,654,873,751,533,797,366,
561,059,968,114,898,800,119,082,604,805,696,521,211,751,461,880,511,324,232,
103,208,800,349,829,400,265,970,833,267,458,222,176,792,102,092,473,450,594,
921,057,657,643,559,873,316,716,452,930,282,243,766,751,945,600,958,634,433,
195,584,593,688,982,289,869,862,420,233,283,065,758,879,641,911,781,213,648,
974,907,389,421,359,480,058,776,419,486,417,683,262,180,483,592,254,183,910,
951,133,201,277,539,899,377,073,078,265,402,419,532,943,511,874,553,015,221,
871,664,833,067,989,090,299,559,773,887,122,723,500,749,508,193,384,935,240,
893,597,005,950,075,345,745,044,704,462,804,763,726,147,358,581,233,331,013,
624,990,543,600,707,709,986,267,774,637,612,425,523,806,762,433,217,696,631,
586,676,381,463,837,302,863,927,120,746,459,695,461,853,920,985,600,229,792,
946,426,392,957,021,901,488,789,900,141,811,552,976,132,392,673,228,591,998,
619,150,625,402,103,866,637,888,139,657,342,682,237,916,748,141,040,524,930,
095,204,404,791,328,075,659,303,823,454,839,977,593,607,024,175,445,673,694,
659,429,219,834,484,117,142,746,088,759,500,425,871,806,915,015,680,413,554,
569,532,304,042,046,633,410,380,080,956,327,084,105,646,086,812,135,983,774,
553,503,709,703,847,266,314,579,168,026,736,583,090,325,771,998,490,264,489,
059,200,839,121,796,895,219,688,831,814,106,746,356,988,512,079,098,883,644,
598,393,943,337,604,170,925,997,638,794,698,162,546,084,603,728,921,300,956,
847,862,258,704,372,848,326,341,588,363,743,469,664,381,841,428,626,976,585,
109,215,219,227,823,498,481,343,788,655,340,440,643,256,799,668,058,236,197,
390,019,005,597,569,657,131,001,064,487,312,560,701,663,291,904,866,382,310,
286,842,052,825,399,146,625,465,647,274,438,542,871,562,923,042,639,749,353,
886,736,946,134,957,101,238,018,272,666,402,004,676,389,454,129,382,427,106,
480,706,383,735,607,344,075,188,819,431,494,654,073,245,634,600,780,692,337,
917,505,843,680,119,922,655,368,146,101,704,304,999,766,798,925,342,482,673,
975,173,053,109,872,654,874,813,377,743,116,511,797,139,983,878,699,602,673,
198,833,758,417,706,204,509,053,604,485,355,704,772,655,932,591,890,172,141,
811,639,579,627,599,324,551,898,725,392,716,680,055,657,993,422,426,233,200,
701,622,173,243,056,465,803,505,856,207,230,328,889,086,813,707,754,029,297,
095,390,510,487,756,669,245,099,591,554,988,085,323,609,149,608,775,145,620,
933,397,560,317,513,160,273,918,411,229,519,715,949,527,540,729,978,310,831,
725,114,917,695,758,574,139,190,992,801,815,768,532,135,536,486,500,969,819,
977,927,078,605,094,258,480,544,524,605,279,392,905,817,186,944,477,056,947,
380,343,835,826,490,591,540,060,606,675,966,263,929,593,952,997,750,639,355,
392,894,312,097,779,910,912,260,406,896,157,094,308,686,427,992,731,080,306,
594,650,776,735,984,287,271,551,201,140,129,361,932,959,782,938,411,841,918,
735,255,767,618,885,542,757,059,765,042,827,693,923,905,946,340,660,399,075,
905,333,501,287,298,452,856,285,333,289,001,605,682,149,727,088,257,798,904,
493,637,208,747,846,951,239,607,454,961,052,172,493,304,896,821,217,211,203,
657,694,889,176,445,595,284,804,707,240,356,940,015,621,136,741,593,625,035,
806,114,500,572,219,371,238,485,907,293,630,197,187,271,275,295,786,321,352,
265,297,428,388,402,863,976,234,113,281,490,555,547,353,126,839,434,679,131,
461,172,829,615,738,394,793,455,142,551,840,367,960,542,718,488,611,886,808,
587,153,207,870,369,299,693,891,058,513,174,038,353,056,251,358,018,446,457,
064,175,270,587,895,210,699,965,660,889,391,397,177,385,054,496,240,274,137,
699,323,804,570,976,247,404,437,654,876,032,842,542,445,467,712,341,692,218,
034,442,819,209,372,851,446,358,863,074,365,814,321,496,093,910,865,076,035,
019,388,596,713,989,332,907,275,686,447,003,352,737,785,312,561,875,237,877,
040,243,930,075,589,352,844,709,026,886,568,421,534,419,388,381,361,803,002,
038,553,449,222,216,483,893,047,233,472,187,704,881,758,645,330,747,102,617,
180,850,942,136,396,150,499,692,907,031,915,572,523,926,412,773,799,846,334,
767,871,384,434,479,472,233,406,107,748,971,643,585,026,111,427,383,737,840,
864,877,595,584,868,650,970,287,482,317,203,008,893,382,258,841,623,733,052,
094,923,301,021,115,406,047,985,254,820,432,438,721,981,225,888,518,340,866,
759,959,892,031,944,854,179,656,424,987,443,655,453,775,670,405,821,322,743,
820,397,518,019,726,966,042,453,945,084,526,599,219,650,549,003,197,401,236,
289,581,036,661,431,362,574,394,894,716,926,262,115,636,164,091,518,100,517,
860,739,120,879,364,857,570,471,279,394,576,412,722,893,828,080,546,130,884,
459,287,598,582,538,363,042,526,821,074,362,572,609,378,984,585,496,386,220,
943,329,417,054,913,124,474,718,610,679,137,752,453,980,511,479,108,786,185,
260,750,276,376,419,723,423,161,934,113,337,901,336,083,367,623,051,402,330,
245,040,950,758,714,848,303,558,518,846,569,018,413,811,998,642,418,317,070,
785,372,462,016,817,909,729,663,971,018,760,106,781,563,432,633,746,907,913,
456,496,743,120,117,227,813,336,185,430,716,217,769,776,170,160,895,997,869,
083,246,424,753,500,475,924,089,125,325,910,658,550,095,689,980,499,630,253,
471,106,218,458,641,066,766,370,344,800,756,250,537,994,447,529,112,283,881,
608,385,577,317,451,370,453,667,325,693,036,274,321,161,916,104,037,249,383,
557,409,417,827,867,915,227,591,844,560,802,476,267,612,057,023,872,391,950,
291,550,318,759,839,859,907,089,428,652,112,546,467,861,121,363,873,389,901,
957,590,956,736,946,664,917,537,230,165,590,322,684,657,149,638,355,905,669,
575,349,720,664,919,818,790,592,412,109,212,213,570,709,071,797,471,712,771,
981,518,547,763,634,993,403,335,851,106,060,796,450,502,408,748,376,326,290,
629,944,411,101,245,618,955,048,856,392,906,633,927,011,064,048,349,603,266,
231,614,947,236,307,573,164,550,932,420,503,692,357,422,054,808,717,703,066,
519,056,788,736,440,301,786,360,063,589,249,262,842,833,047,222,054,507,883,
755,208,688,933,874,199,000,492,984,080,039,291,314,051,786,467,744,295,864,
520,627,935,007,622,159,129,643,363,792,084,000,784,761,019,133,083,949,961,
551,693,803,930,906,159,440,896,663,360,059,649,732,985,414,836,650,844,554,
534,336,694,368,377,034,318,814,813,733,162,047,189,480,969,317,019,617,691,
914,722,549,322,302,643,428,139,396,300,628,580,758,245,943,397,264,171,323,
903,254,536,134,529,404,500,149,131,039,202,175,121,465,723,641,215,210,095,
124,288,983,319,764,222,034,069,215,163,980,251,121,200,908,186,630,947,060,
496,913,531,355,479,200,398,112,782,107,068,416,587,968,237,893,788,189,561,
854,313,555,719,000,291,921,203,186,654,468,755,019,479,144,453,911,782,626,
224,266,742,391,607,285,310,744,752,577,478,844,177,518,949,121,197,666,640,
260,338,926,963,720,755,521,889,584,194,300,508,439,997,122,034,178,039,996,
074,840,115,061,385,230,561,220,959,692,339,799,614,023,569,098,690,985,916,
744,006,949,853,311,352,383,498,819,665,952,124,268,161,505,611,733,821,917,
041,107,878,544,648,341,903,499,289,640,694,213,189,356,130,146,113,036,620,
537,538,650,602,142,231,506,587,449,991,646,705,597,891,343,225,809,144,072,
887,393,810,476,689,924,346,557,264,898,870,937,356,329,369,118,307,022,102,
011,069,880,856,960,655,598,302,260,813,369,857,909,972,434,116,294,983,836,
461,848,150,936,619,020,154,479,675,396,757,297,722,887,601,136,236,783,530,
190,880,852,202,939,552,521,939,083,829,994,250,275,003,653,796,609,971,470,
913,489,874,389,812,894,764,300,272,611,168,897,273,009,599,873,378,313,064,
160,327,084,108,466,008,253,978,665,026,720,620,368,957,299,896,987,236,150,
614,248,913,824,260,148,440,639,579,976,107,621,787,123,375,419,779,665,014,
190,201,262,657,482,498,868,737,511,820,133,162,451,442,260,932,750,256,707,
112,078,375,424,999,076,677,084,074,997,555,656,410,075,552,094,953,993,845,
421,706,736,747,523,271,628,509,499,718,056,021,891,467,300,823,599,411,447,
082,383,421,334,051,207,854,426,872,099,175,198,570,101,512,545,743,153,578,
638,363,001,945,769,433,061,850,445,604,039,318,800,851,435,139,016,969,105,
964,007,573,388,377,943,800,510,553,971,865,823,895,682,176,651,136,816,188,
827,423,547,543,406,339,264,655,101,705,270,283,292,669,618,975,665,077,650,
305,393,255,584,548,371,429,180,858,703,297,453,712,028,051,012,138,282,042,
903,946,615,821,612,642,889,994,609,897,728,364,177,782,336,947,388,985,333,
298,550,209,663,329,529,126,889,169,564,968,987,848,174,459,917,243,249,823,
220,099,415,201,073,869,778,818,054,745,828,408,558,154,521,578,168,393,142,
157,753,666,083,106,542,439,424,813,929,629,422,537,451,067,904,201,891,849,
664,019,987,130,575,657,981,995,093,274,535,501,713,016,276,212,877,007,191,
245,961,411,277,487,321,627,258,890,341,668,258,368,347,321,097,672,538,860,
659,668,502,241,033,197,351,859,320,433,297,019,523,586,203,775,252,233,031,
467,426,236,810,615,734,624,389,693,579,779,414,396,846,985,184,099,128,856,
156,835,849,487,434,315,760,566,112,350,944,389,170,286,446,352,332,832,038,
425,154,204,466,615,743,375,909,980,226,544,217,107,730,377,317,614,545,005,
560,408,812,802,889,046,325,264,257,722,397,248,621,856,420,812,621,424,277,
375,417,475,333,317,935,183,187,038,043,335,000,194,651,602,164,905,080,403,
347,748,388,786,134,203,137,750,742,128,822,975,293,892,490,980,572,923,757,
262,805,904,598,732,609,839,165,592,693,833,446,511,399,181,374,405,286,102,
530,581,555,950,817,436,841,801,580,897,567,200,077,456,883,595,793,060,869,
557,174,468,794,204,399,599,051,791,141,163,783,400,075,211,912,179,924,726,
939,257,919,665,414,110,007,514,466,603,784,673,167,011,794,806,050,052,944,
289,211,023,195,654,150,597,194,058,534,223,543,688,160,191,563,285,313,008,
686,285,872,067,236,288,084,517,810,502,745,386,586,819,734,317,349,625,634,
314,659,921,735,884,674,073,360,726,022,778,214,607,902,279,705,300,687,116,
340,146,045,098,163,155,411,398,328,292,353,818,664,496,647,612,533,439,094,
194,605,693,389,297,952,939,399,378,712,723,664,902,233,233,685,267,272,099,
641,148,139,631,046,495,108,925,167,882,288,636,332,696,465,011,971,832,122,
010,175,440,423,627,361,270,398,840,345,094,939,845,536,927,732,706,599,347,
937,590,854,533,755,020,069,678,967,152,657,414,046,919,782,486,056,393,644,
809,281,559,302,982,326,856,842,276,625,752,418,546,641,052,996,833,327,423,
659,662,371,186,831,059,865,885,262,624,674,603,410,988,944,749,734,325,694,
587,005,712,369,859,449,283,945,708,058,508,046,528,169,101,849,404,244,766,
835,838,902,607,297,440,342,988,833,762,940,592,729,357,961,231,219,039,759,
615,143,881,424,554,854,980,306,271,845,885,464,259,874,410,454,151,380,070,
891,655,338,941,714,900,853,842,698,896,075,062,595,023,793,722,860,544,617,
055,681,974,296,713,881,486,424,899,134,708,935,260,541,521,910,119,643,713,
839,382,592,768,582,634,417,076,546,613,642,643,135,250,375,494,755,215,800,
818,679,276,277,098,468,279,889,803,702,481,517,592,902,417,199,635,561,508,
414,503,756,244,336,197,187,374,987,569,924,896,970,261,129,411,130,373,644,
924,029,558,725,821,215,139,974,895,283,557,067,318,718,332,839,147,454,353,
939,696,120,082,813,353,008,320,127,601,247,850,394,107,207,251,028,931,859,
394,308,213,604,381,454,984,347,841,746,505,883,719,863,271,570,972,465,585,
109,765,027,149,083,456,747,058,500,271,490,624,226,014,372,215,334,112,434,
349,741,526,893,868,953,199,417,322,114,754,391,333,870,281,313,649,672,990,
768,627,598,743,379,386,509,143,408,783,006,324,875,397,687,709,688,617,315,
281,634,578,377,984,971,238,009,278,653,419,272,826,965,018,655,925,927,803,
553,787,250,003,700,303,937,979,791,465,258,646,044,425,789,631,858,346,322,
117,650,519,030,416,971,216,060,073,981,017,332,970,795,855,564,227,230,791,
158,116,558,913,444,182,058,121,289,654,108,040,562,204,261,884,617,070,885,
466,341,502,112,954,445,693,761,117,998,083,084,232,295,135,464,552,598,909,
561,921,394,950,589,360,293,626,615,983,896,307,024,883,918,370,523,889,069,
515,187,903,698,333,292,288,506,894,780,949,535,189,300,709,484,531,640,036,
950,915,791,581,397,710,259,457,066,613,287,302,111,369,396,780,183,938,586,
638,666,319,259,989,996,576,504,049,154,296,051,171,052,415,779,905,547,867,
917,484,702,404,264,227,223,615,249,881,611,070,721,868,947,082,532,110,777,
855,871,028,953,710,007,222,964,797,455,612,239,970,528,044,877,682,099,606,
886,836,310,929,030,882,195,505,779,557,795,181,638,751,563,566,211,399,373,
870,502,572,850,809,558,002,400,716,307,880,227,181,409,842,465,794,286,028,
439,634,066,019,323,567,452,227,205,002,237,786,170,671,468,835,461,697,028,
636,235,908,467,642,212,390,566,564,585,780,003,290,505,755,399,423,265,424,
017,386,587,816,621,521,011,177,619,393,265,074,879,024,413,187,189,277,442,
897,750,687,999,033,910,445,015,654,720,805,203,428,745,900,747,850,096,324,
863,224,578,088,339,051,047,067,849,218,450,479,045,213,408,648,467,066,632,
612,314,778,023,853,157,952,913,630,222,672,945,310,341,285,329,420,230,267,
360,251,123,686,677,712,177,849,168,950,931,963,328,716,071,445,634,641,216,
638,911,082,691,969,212,685,609,353,448,810,548,583,680,206,370,150,874,351,
531,902,844,223,072,710,547,633,166,253,533,548,742,626,241,396,805,283,162,
140,725,064,501,145,699,611,673,000,156,860,546,511,563,445,096,978,405,686,
108,026,956,180,468,591,380,921,481,676,562,590,331,502,148,273,187,270,855,
280,261,786,765,522,633,241,401,347,504,533,196,864,122,178,999,596,141,125,
583,245,492,522,965,545,563,523,033,691,305,676,423,006,381,721,142,794,886,
330,986,119,283,222,951,080,117,819,556,342,995,974,675,965,538,211,662,590,
591,504,860,438,927,105,748,494,860,727,016,330,490,249,489,340,967,851,857,
449,615,331,969,247,685,445,186,414,176,608,204,885,322,126,122,973,250,249,
246,780,626,060,369,348,160,461,512,078,070,243,732,046,449,194,105,861,743,
515,391,114,492,092,197,554,888,712,214,036,116,197,419,736,800,642,170,708,
879,794,083,096,787,521,157,627,940,361,481,902,952,593,226,845,222,832,284,
605,263,153,823,027,579,296,452,858,042,530,866,100,619,305,707,352,608,634,
756,403,720,067,552,978,094,602,843,201,486,179,572,805,038,471,448,984,684,
822,963,575,142,609,769,216,087,370,176,979,195,747,963,578,693,967,363,562,
927,025,423,412,895,557,452,785,191,277,666,584,307,750,915,675,637,011,297,
117,456,165,983,036,549,407,896,304,997,165,534,989,074,873,428,749,429,216,
343,820,144,096,391,737,015,360,813,541,357,408,661,213,725,530,786,580,794,
019,696,029,354,566,905,749,091,080,408,212,903,060,062,670,269,285,656,038,
940,603,705,075,648,503,615,096,723,472,957,144,204,056,073,962,605,096,680,
190,340,623,039,333,229,410,225,736,510,199,621,590,831,858,043,805,054,558,
964,767,307,817,298,990,735,011,697,322,031,346,612,438,665,641,629,327,270,
695,493,660,851,554,404,486,388,177,931,401,275,661,675,176,612,460,557,565,
708,940,524,572,885,557,401,602,922,523,866,784,672,423,008,713,685,318,806,
143,594,165,192,611,629,313,500,071,264,847,588,658,293,651,822,666,255,827,
125,044,437,417,698,599,529,457,781,756,692,305,177,079,043,119,711,077,064,
651,815,864,903,232,527,424,531,179,324,341,812,881,172,911,416,659,429,634,
626,371,963,245,731,864,962,347,546,063,155,657,724,850,806,911,262,503,223,
017,350,774,105,612,522,241,366,908,421,230,001,108,184,075,256,060,327,187,
654,756,692,927,362,838,573,892,735,674,393,144,755,518,313,312,705,086,446,
500,766,379,153,404,879,306,575,897,011,466,816,999,407,324,833,022,559,151,
173,623,154,023,302,062,594,233,365,444,220,509,184,287,136,377,549,883,162,
442,790,901,815,888,067,817,773,703,438,412,277,543,055,058,514,356,342,242,
357,446,068,259,940,815,812,703,514,454,969,238,412,463,711,280,802,571,548,
250,973,836,311,590,295,845,965,428,205,336,509,138,050,665,320,544,288,777,
192,718,536,575,412,420,946,466,251,404,547,820,273,058,927,121,398,426,322,
615,323,836,088,719,830,733,413,999,655,696,702,471,754,320,317,047,203,626,
487,853,467,064,565,381,574,397,905,002,652,447,615,666,564,036,882,463,638,
750,623,230,766,737,822,129,868,281,470,996,377,346,692,502,658,798,960,026,
698,543,911,421,787,320,735,535,838,256,279,488,530,741,359,833,597,865,714,
583,876,602,261,171,592,330,973,076,200,854,186,609,497,752,746,526,543,609,
092,473,225,774,558,976,735,297,032,816,579,496,643,286,199,529,221,166,148,
749,737,646,394,430,569,817,380,271,118,516,297,356,868,830,600,608,306,369,
294,961,052,170,815,013,423,945,693,170,335,258,886,816,276,072,406,615,564,
182,907,306,761,439,863,225,575,860,231,059,254,020,228,928,489,656,042,222,
894,663,569,932,649,418,135,415,966,923,088,467,805,307,823,659,638,354,992,
721,517,186,213,241,632,521,706,839,162,678,114,878,724,276,566,473,212,660,
282,987,482,676,203,531,527,164,771,541,112,188,410,020,308,461,044,441,378,
314,666,980,935,302,016,640,353,258,686,942,673,988,964,545,019,509,266,348,
271,259,449,899,000,237,206,639,997,160,393,723,203,022,970,302,165,906,245,
998,808,107,524,028,834,458,826,656,546,795,185,170,824,046,224,149,677,769,
837,559,690,451,252,877,168,761,947,315,480,076,171,914,635,000,842,470,675,
655,919,576,038,748,662,533,790,321,690,351,616,264,167,747,629,448,468,170,
367,388,343,409,012,359,998,894,374,979,980,766,758,968,774,972,241,256,779,
684,380,499,173,133,752,971,292,163,920,844,032,333,351,611,995,807,135,944,
178,728,234,470,964,121,132,725,069,161,463,891,699,539,907,155,720,142,805,
944,453,608,593,231,131,662,702,622,052,793,010,168,491,750,965,240,443,476,
898,313,794,608,765,962,625,054,441,732,180,070,221,133,912,408,745,797,438,
046,212,207,530,531,264,179,880,346,227,415,719,824,835,168,237,884,023,802,
140,479,829,847,951,798,207,492,442,792,316,000,894,163,842,217,661,579,070,
967,609,130,890,110,963,634,420,075,040,296,504,155,301,510,039,850,839,596,
098,885,024,707,192,394,378,750,112,393,292,970,659,136,079,265,681,290,647,
873,574,874,585,797,352,668,884,347,725,393,661,747,745,907,790,763,634,079,
634,485,868,529,729,167,706,047,033,455,303,713,016,240,806,724,035,358,958,
907,437,394,719,428,128,136,271,504,844,633,845,548,810,497,173,424,807,426,
201,157,556,523,483,645,931,170,902,422,600,638,050,182,926,773,995,495,560,
074,269,133,573,034,498,928,707,163,653,599,906,564,520,082,636,800,890,883,
089,729,901,390,378,265,154,128,732,494,848,113,216,713,679,446,448,688,716,
759,676,425,392,992,167,677,810,475,066,160,575,482,583,517,658,411,008,238,
151,028,658,555,577,158,364,896,137,889,670,487,332,647,877,201,793,893,478,
044,267,993,819,783,659,183,556,068,613,697,542,720,134,188,681,324,640,231,
462,024,628,539,299,596,417,061,506,073,008,914,016,643,811,593,415,810,341,
792,910,955,349,459,884,327,068,770,956,549,468,520,801,006,538,061,418,130,
142,333,400,139,062,164,444,793,904,161,959,378,202,850,050,980,615,508,396,
072,763,273,779,887,091,295,321,154,615,008,784,386,407,685,703,293,523,626,
829,551,773,533,349,637,592,030,155,682,720,210,155,657,293,282,150,198,815,
679,487,047,113,397,103,605,660,580,519,496,870,219,746,189,460,253,819,285,
256,276,950,396,221,943,736,079,277,551,636,960,175,381,407,131,774,550,494,
100,795,950,372,855,291,063,750,576,068,698,220,690,720,281,034,476,103,669,
319,305,620,210,124,577,692,852,184,791,912,186,213,228,691,315,264,388,693,
096,318,999,511,189,249,057,556,743,093,654,766,746,624,607,810,827,437,512,
545,394,382,003,603,769,052,748,295,951,354,127,365,859,401,890,370,932,653,
452,343,335,820,551,477,946,626,410,119,255,850,263,536,714,989,068,418,310,
381,220,641,582,379,116,480,041,719,318,553,631,092,718,776,461,337,085,159,
605,362,974,000,112,969,294,435,542,981,843,653,437,203,297,116,854,339,844,
314,848,911,288,970,075,310,263,885,129,481,026,594,810,991,510,921,867,958,
664,995,121,772,087,028,937,487,318,955,393,052,529,309,574,139,042,873,625,
550,862,398,926,613,992,579,895,025,255,053,651,341,787,808,244,205,213,072,
807,654,434,984,793,829,545,678,780,466,918,647,704,147,473,272,696,529,613,
623,953,520,382,570,454,670,616,882,139,208,132,758,425,135,051,632,938,256,
272,092,379,000,530,593,850,638,713,765,008,905,849,009,523,617,502,964,052,
908,970,208,597,834,839,333,016,299,262,166,836,554,116,838,347,517,342,342,
593,030,389,451,089,553,094,500,211,808,080,578,343,468,178,987,696,244,197,
611,812,464,098,303,368,333,597,753,004,329,346,476,861,289,766,839,831,282,
264,288,998,895,855,086,507,320,397,939,329,317,025,650,667,583,972,678,910,
552,157,130,814,540,424,332,397,539,350,883,668,809,170,809,670,640,904,546,
758,951,569,209,828,245,860,998,329,302,606,738,384,779,557,221,748,251,829,
977,651,036,391,105,261,398,471,092,044,553,240,916,193,139,926,225,686,224,
029,924,803,988,229,695,335,161,826,196,224,094,355,831,475,293,716,892,082,
527,436,651,311,408,160,307,022,274,612,281,111,368,494,003,413,959,687,895,
129,361,272,051,327,323,933,081,516,672,869,634,159,183,740,273,063,388,461,
039,539,927,822,405,107,604,363,276,728,429,076,873,774,656,423,109,714,817,
170,107,742,342,444,207,146,404,810,927,960,555,837,736,294,944,071,665,632,
794,932,003,098,995,886,644,840,869,610,924,334,434,856,302,026,813,622,821,
354,201,207,067,225,157,014,207,999,006,027,666,211,073,441,283,838,595,361,
498,074,285,624,606,030,887,425,613,947,541,765,585,585,995,714,054,492,627,
332,782,802,932,249,219,087,009,917,596,121,317,179,915,536,755,572,505,851,
391,480,609,073,804,533,152,117,556,519,500,957,426,230,762,435,666,136,211,
197,505,476,077,363,492,216,573,823,201,494,747,965,134,971,076,470,248,535,
835,963,446,803,708,989,111,187,068,045,095,098,363,882,772,519,813,972,928,
152,141,027,654,099,887,982,486,231,869,718,520,986,071,452,415,815,350,687,
867,867,232,453,623,269,066,893,685,162,533,554,748,564,597,305,306,428,935,
114,888,476,864,685,916,258,674,438,516,085,969,087,217,653,449,402,681,578,
582,074,980,026,353,487,258,014,190,222,654,998,935,024,365,055,900,213,818,
427,548,276,896,014,089,214,927,234,807,783,840,820,551,002,005,640,769,543,
097,906,446,339,146,045,091,664,345,438,073,316,032,898,842,366,377,562,824,
714,479,149,605,285,273,513,900,831,031,677,879,853,343,544,835,254,826,255,
016,332,239,727,762,534,160,287,743,990,054,503,409,560,254,191,789,960,878,
984,482,278,352,814,147,269,527,423,311,999,465,267,316,399,424,752,800,262,
864,660,107,797,132,850,294,718,023,958,109,228,834,984,198,963,224,717,109,
209,008,966,997,105,583,931,032,078,666,904,736,563,954,480,838,209,356,596,
872,560,422,803,353,783,491,409,453,362,028,665,073,007,941,149,716,058,193,
055,563,434,324,473,466,648,562,528,527,500,655,209,215,205,321,797,799,748,
647,670,186,777,679,620,975,907,737,796,027,285,628,393,041,932,383,901,428,
955,522,088,102,875,856,396,597,956,656,749,819,670,554,038,220,147,213,928,
484,744,486,904,105,784,489,746,630,174,305,721,417,327,928,129,978,886,282,
385,043,284,982,646,740,266,110,200,825,100,355,603,207,258,806,310,474,561,
165,855,636,278,888,761,126,921,825,148,500,414,500,199,990,704,997,729,016,
153,446,160,989,323,876,708,504,621,612,140,045,478,759,718,008,546,818,450,
605,438,832,915,508,528,965,148,511,554,092,444,513,199,510,285,658,198,156,
530,457,944,825,031,369,733,289,628,802,164,274,627,897,087,904,281,717,578,
342,386,102,731,032,329,980,112,044,204,021,566,977,711,779,904,544,246,299,
616,717,144,960,288,957,613,600,271,411,230,983,318,188,293,937,497,532,008,
587,211,078,976,696,067,565,284,072,586,269,010,531,796,915,410,532,506,425,
509,354,092,525,061,183,502,743,719,402,142,697,386,050,163,990,880,301,712,
079,312,363,497,371,817,534,157,351,157,716,101,831,984,472,307,943,745,936,
782,284,834,562,163,452,289,543,807,132,755,431,603,199,945,654,913,964,926,
687,923,358,154,832,422,661,503,445,026,231,551,126,175,760,333,262,136,107,
443,588,966,177,321,916,700,804,355,956,607,409,591,983,583,882,402,942,554,
739,473,525,895,945,466,152,218,891,145,346,511,778,077,816,126,685,151,023,
598,487,603,965,448,024,001,704,702,562,671,467,102,529,012,713,616,782,692,
743,657,704,976,821,362,072,833,609,643,944,584,191,737,630,090,508,392,136,
516,066,247,168,842,593,075,822,411,575,473,868,402,121,945,413,657,126,941,
149,190,008,023,798,528,159,847,175,748,590,842,695,267,500,840,277,933,730,
756,218,247,297,513,118,676,463,877,255,597,702,926,970,489,733,716,919,955,
970,618,799,737,604,513,045,149,674,749,900,858,527,420,405,832,126,752,439,
478,626,026,599,045,124,572,458,104,860,660,897,169,057,826,405,234,420,462,
784,815,868,344,429,383,286,714,115,988,202,609,705,406,592,087,477,204,005,
443,467,732,620,181,455,118,520,758,204,522,412,597,691,089,834,172,626,380,
656,776,800,410,684,208,123,215,425,144,913,610,467,356,902,117,404,685,676,
123,759,388,019,330,080,408,373,552,880,896,676,077,430,024,818,136,996,270,
133,344,024,153,635,251,996,490,128,220,267,429,481,561,092,448,957,103,290,
982,390,400,488,311,994,555,972,145,563,528,385,804,113,149,433,050,458,670,
400,345,292,220,180,787,581,840,662,610,929,574,403,422,166,428,760,696,377,
836,764,068,826,950,401,318,692,516,075,318,905,990,645,830,658,676,483,730,
255,189,444,589,423,796,994,712,218,737,869,137,817,927,733,649,306,099,370,
928,915,518,360,557,080,068,192,411,317,626,965,946,289,675,199,204,668,183,
873,030,910,288,565,956,351,123,468,282,972,901,804,435,037,872,817,946,014,
188,635,526,206,047,685,177,193,340,773,292,510,595,962,287,807,641,325,746,
109,994,963,398,646,733,454,080,061,872,789,484,563,791,691,420,479,004,816,
477,772,819,595,153,619,780,477,086,492,571,687,198,943,498,115,685,576,886,
552,270,544,958,276,885,208,328,667,234,952,458,053,631,380,978,443,297,324,
069,931,925,127,814,297,526,077,123,714,613,633,948,353,230,827,878,576,820,
327,767,990,012,283,075,916,003,440,293,016,777,340,628,020,310,382,906,635,
893,315,578,412,910,457,267,796,338,787,642,923,982,244,600,146,822,003,250,
063,487,234,573,227,012,161,637,405,700,082,865,081,152,443,592,436,270,522,
626,969,340,733,399,610,763,313,851,171,477,649,905,236,763,921,400,252,718,
468,292,520,706,266,042,244,609,409,202,793,051,037,857,107,419,298,292,868,
085,254,914,828,660,531,036,601,457,403,469,124,647,363,884,897,479,083,348,
493,240,281,432,029,450,615,699,209,250,763,122,793,711,411,715,605,566,154,
048,484,264,609,271,270,528,414,866,420,283,216,702,116,679,963,774,687,853,
018,959,867,807,234,573,899,707,644,232,528,671,434,659,060,519,762,862,013,
766,371,775,719,100,981,415,077,152,859,450,735,809,505,726,536,978,831,281,
238,884,048,813,474,517,455,267,293,811,251,297,942,603,823,194,031,885,181,
260,176,340,734,324,278,781,850,302,661,673,854,207,279,413,431,825,768,096,
287,672,694,437,825,921,449,356,050,452,610,543,729,471,086,479,095,253,318,
827,734,310,538,438,137,217,034,896,869,153,179,207,493,343,780,699,136,919,
186,198,664,853,191,440,620,865,457,242,343,729,975,384,309,005,146,237,951,
196,991,473,676,443,079,222,002,289,539,183,818,410,781,351,653,768,015,573,
250,099,399,257,400,642,002,176,366,851,555,338,771,698,120,373,333,883,261,
904,247,378,339,601,027,187,637,884,181,226,811,938,921,504,972,077,855,411,
141,321,255,580,851,755,121,146,116,810,498,919,776,123,767,662,435,790,723,
028,823,092,036,220,911,614,929,768,399,266,386,185,018,705,804,585,688,536,
096,166,625,666,263,647,190,421,686,427,140,726,881,779,977,865,729,207,887,
062,015,546,763,277,141,167,254,055,261,728,367,979,524,358,521,059,649,481,
325,180,011,798,077,615,456,229,454,462,324,426,336,146,785,685,990,859,431,
267,911,203,050,659,063,301,228,673,129,682,166,035,521,046,239,734,615,032,
224,885,915,678,803,861,258,967,621,514,595,117,201,441,971,733,724,767,608,
232,876,587,946,030,700,784,045,545,852,196,537,769,895,845,292,846,376,062,
493,182,326,358,233,131,762,940,856,658,397,736,723,071,059,494,937,604,060,
076,156,018,515,586,700,568,854,467,707,056,387,244,356,402,175,113,853,758,
025,560,566,194,627,874,115,373,212,234,002,317,147,493,192,586,486,146,182,
284,237,579,958,933,496,891,362,791,594,799,306,224,717,836,349,093,649,505,
546,483,753,004,604,190,141,609,598,738,927,623,705,137,118,796,204,315,086,
405,695,419,256,147,055,422,874,615,730,247,227,650,902,406,645,751,813,417,
844,755,376,681,534,881,996,281,390,315,673,806,118,902,837,285,662,993,456,
721,105,467,551,117,345,721,628,175,651,557,147,352,103,612,315,440,495,590,
710,614,613,096,319,955,232,915,062,643,113,872,358,625,172,679,151,241,630,
497,562,534,788,349,370,142,579,554,899,407,841,881,406,536,296,741,923,397,
286,173,636,225,480,228,854,380,107,087,788,340,276,795,409,846,406,912,774,
386,223,849,560,186,738,011,448,087,778,653,380,184,564,516,808,167,737,013,
907,740,888,238,760,004,265,743,151,302,507,634,218,362,928,474,657,052,619,
619,691,313,390,469,487,444,857,872,035,890,780,983,054,147,916,737,027,071,
893,499,554,784,392,672,613,816,753,903,350,423,342,225,251,996,938,788,631,
004,397,613,987,209,801,984,501,643,577,954,313,666,991,605,489,116,946,431,
634,792,640,593,324,419,780,785,616,761,995,768,173,448,422,062,240,537,034,
961,774,312,037,152,134,976,516,076,958,728,536,908,859,513,246,285,602,423,
927,521,131,803,318,875,691,139,544,683,550,888,854,380,211,972,276,495,896,
105,822,287,963,335,814,497,586,411,258,005,702,607,941,173,910,180,160,936,
997,222,148,820,607,149,680,770,239,386,213,922,711,317,827,099,009,277,146,
580,886,525,523,949,143,220,532,096,744,040,417,776,028,882,996,584,236,390,
179,191,083,288,804,095,212,771,723,515,427,609,856,132,845,601,270,499,977,
874,105,641,151,228,281,165,514,879,891,857,830,577,889,965,369,458,530,853,
043,700,102,547,571,812,381,231,543,788,743,134,697,459,621,794,893,483,259,
316,160,316,658,935,310,857,672,601,032,184,730,542,210,464,850,500,893,024,
588,555,043,859,968,616,479,831,801,445,944,293,231,532,715,779,527,210,562,
914,574,803,363,036,680,417,050,525,326,044,381,442,027,027,211,134,261,919,
365,003,113,894,407,923,292,745,913,968,419,011,138,736,237,319,819,760,369,
292,839,524,922,689,884,299,520,799,566,349,306,242,251,650,500,066,145,521,
750,033,731,139,742,183,782,309,450,943,585,296,633,751,815,645,913,969,553,
675,306,253,789,633,200,366,204,229,441,477,005,972,395,334,055,756,458,159,
865,904,496,285,019,725,750,190,463,345,038,025,238,313,217,356,273,058,259,
890,512,090,576,947,997,995,679,283,194,069,482,919,309,969,500,703,630,900,
257,905,091,220,924,156,485,001,833,993,796,448,979,135,573,784,176,985,701,
482,964,560,857,250,687,982,378,220,438,907,210,076,249,742,274,466,063,011,
721,227,030,524,034,781,225,880,682,714,045,216,768,860,192,472,589,922,919,
274,099,606,232,196,719,154,112,822,882,261,912,233,882,165,827,300,405,727,
939,938,603,249,811,544,598,400,069,650,944,492,434,680,199,278,392,912,953,
359,354,859,636,219,907,507,840,618,862,058,390,550,586,016,399,641,727,788,
179,126,608,841,543,863,075,606,839,822,314,014,313,336,391,597,327,988,837,
404,531,962,573,422,485,256,850,778,149,342,594,704,216,361,450,751,436,447,
142,454,238,086,444,641,869,792,048,591,635,706,181,687,041,944,317,676,783,
973,575,718,089,533,606,394,478,956,128,946,224,961,078,151,483,207,083,520,
940,123,122,747,567,554,222,864,844,887,471,126,960,079,341,721,336,431,933,
876,930,520,878,556,832,659,088,395,313,911,354,033,101,680,205,211,918,408,
022,931,108,991,756,928,760,723,235,963,461,785,496,613,236,816,976,645,871,
730,359,996,464,838,959,519,755,768,084,747,102,947,733,018,246,812,050,245,
866,213,250,093,040,704,263,761,118,383,920,475,495,573,144,630,722,789,594,
958,514,973,474,335,594,437,155,459,660,221,543,795,391,637,930,690,807,386,
256,939,512,948,656,238,501,157,516,016,985,051,686,276,990,452,655,389,621,
993,512,123,128,505,200,081,027,391,396,826,090,056,154,126,786,358,703,224,
686,825,886,077,984,226,829,444,602,484,960,537,178,032,327,714,887,646,635,
824,961,886,243,760,575,711,384,600,933,123,204,459,597,575,139,780,700,235,
836,679,673,453,627,752,120,180,533,075,231,186,764,303,356,736,882,058,089,
843,222,311,252,825,160,417,245,702,649,281,527,652,402,441,409,028,430,606,
487,106,885,640,403,580,054,974,288,580,762,263,120,986,537,360,656,798,013,
216,409,708,407,075,555,242,150,051,387,753,367,509,948,990,164,429,919,743,
187,367,172,000,405,081,054,658,227,654,757,501,451,673,968,171,636,370,045,
686,398,182,086,580,068,180,097,494,220,251,753,827,027,403,905,107,325,607,
148,062,596,018,735,106,993,881,117,963,061,795,284,726,170,886,620,711,935,
689,414,710,640,186,147,992,379,880,564,062,294,075,995,789,769,795,883,208,
580,220,979,292,900,263,780,546,625,374,662,052,577,253,740,862,365,424,247,
061,361,693,050,429,128,441,975,902,036,996,720,036,930,583,055,808,695,526,
330,337,861,952,674,861,698,491,627,886,446,036,541,533,361,090,284,994,099,
550,865,316,368,473,498,575,482,336,210,751,188,626,167,737,360,924,984,336,
757,227,476,868,213,145,533,332,862,335,748,612,648,517,630,938,275,864,260,
255,193,450,160,061,103,249,499,829,932,615,075,445,029,236,179,855,242,149,
385,629,798,683,540,515,695,951,735,117,103,721,447,112,393,452,164,598,802,
126,657,083,642,542,151,987,445,853,005,936,079,796,460,704,376,803,907,582,
950,931,546,298,202,291,678,004,587,088,988,047,285,011,164,299,370,384,627,
301,922,669,376,581,737,221,165,368,738,077,089,080,742,225,597,144,018,756,
751,285,894,859,800,132,307,657,191,868,254,234,453,674,477,337,757,594,449,
441,522,638,110,734,892,843,460,364,822,542,649,235,557,092,420,545,864,592,
926,485,434,691,819,053,091,033,200,097,846,555,303,795,758,225,744,620,869,
717,088,476,884,666,814,299,135,989,488,970,150,111,665,198,709,236,245,148,
290,099,177,291,088,072,712,675,288,046,886,966,173,518,882,145,564,337,119,
676,084,325,155,296,656,413,051,675,045,978,026,049,643,835,302,052,354,654,
677,132,767,592,114,380,549,821,750,554,059,202,390,791,576,258,111,459,734,
857,824,760,564,448,901,557,319,182,686,745,882,894,936,855,777,229,742,323,
448,134,254,422,724,246,757,866,703,392,015,728,939,697,025,055,409,538,375,
459,331,585,601,169,182,111,045,353,595,990,242,815,429,554,187,614,976,163,
360,038,428,034,870,159,799,254,918,894,809,065,363,298,173,885,066,702,616,
234,334,384,323,432,049,917,317,686,044,398,759,322,190,896,785,400,049,358,
519,980,900,856,036,655,663,118,911,662,384,263,450,468,221,954,285,174,271,
912,331,039,181,629,615,486,291,524,430,118,727,950,477,494,792,042,281,074,
942,613,831,730,075,434,389,041,522,726,091,759,867,658,545,637,273,912,368,
787,970,400,969,078,480,918,714,019,199,600,869,498,091,124,705,899,959,099,
532,806,351,986,845,260,889,152,325,958,954,166,936,590,189,989,032,667,754,
171,011,823,373,606,065,970,409,396,872,393,714,595,002,530,174,692,010,742,
504,304,995,940,547,525,871,837,791,864,141,712,175,627,990,580,537,334,551,
275,668,064,060,403,730,077,482,589,914,335,974,701,866,644,181,005,885,017,
585,758,470,583,371,395,564,737,084,272,837,279,457,589,989,498,055,788,382,
715,207,969,361,962,055,938,280,967,588,138,365,290,966,197,254,184,786,981,
079,931,025,692,889,454,410,560,199,353,094,057,797,293,825,286,928,285,163,
385,852,625,143,276,622,679,495,825,545,005,648,901,640,814,172,173,647,864,
191,009,883,795,292,857,101,850,345,881,035,385,437,232,073,228,617,794,568,
074,509,393,938,130,186,175,099,404,689,405,202,071,406,782,440,918,788,057,
441,330,522,424,218,331,617,904,818,371,099,237,129,608,952,681,833,085,328,
463,910,039,263,475,810,937,322,961,336,478,240,923,216,763,959,792,797,611,
388,403,308,047,163,653,657,141,498,299,749,164,194,313,214,197,497,544,615,
707,300,054,879,790,901,254,114,562,183,260,367,262,002,957,205,121,363,743,
890,675,842,494,439,046,335,452,497,739,225,246,105,902,944,176,455,300,979,
385,138,833,812,287,079,151,024,099,989,552,406,750,339,513,775,565,049,329,
613,912,784,540,716,820,969,575,079,739,233,992,422,150,568,663,056,474,394,
232,837,890,359,475,751,282,635,155,775,898,410,493,913,677,105,469,005,307,
455,430,943,803,170,150,494,873,771,490,330,801,167,787,289,772,759,346,274,
695,516,597,981,160,390,591,997,954,396,177,374,694,125,651,529,660,995,335,
251,335,135,642,266,957,659,898,678,354,362,160,046,661,304,085,922,578,139,
518,643,483,374,092,892,808,042,001,201,198,185,300,508,984,021,361,564,516,
222,469,182,812,531,765,332,600,746,711,339,936,154,019,519,543,561,950,687,
176,567,605,195,966,964,528,171,207,551,965,987,068,185,649,934,581,749,817,
515,321,830,809,889,005,624,473,895,532,080,143,441,273,994,942,443,927,069,
934,399,991,695,333,553,854,202,771,396,649,619,592,974,781,631,788,066,476,
293,678,238,132,112,133,411,193,011,838,516,856,211,099,011,563,127,581,301,
886,103,052,482,472,439,825,137,259,177,113,628,870,334,824,998,660,481,783,
235,695,538,221,218,534,327,580,056,289,448,955,816,858,084,187,357,486,413,
424,920,756,548,878,289,210,156,459,436,997,469,603,803,301,537,379,983,390,
081,712,390,243,282,431,625,479,599,442,598,553,347,797,896,749,284,572,860,
454,862,286,205,264,230,639,661,247,942,112,685,496,560,046,527,934,053,008,
957,468,104,406,857,327,274,942,256,848,012,699,652,275,733,199,432,046,483,
534,644,408,022,661,125,762,524,328,118,048,762,238,353,458,545,510,980,484,
091,795,871,437,427,961,844,828,764,589,330,612,278,969,974,763,570,070,316,
465,608,333,169,092,909,331,269,854,449,837,239,040,529,747,791,384,176,438,
078,122,695,791,415,972,909,632,266,223,375,589,795,522,458,403,877,779,407,
303,390,656,298,619,874,308,502,814,766,027,340,230,598,571,791,007,300,564,
326,103,337,365,361,628,082,190,428,336,091,884,997,340,225,108,831,878,548,
468,588,109,819,291,954,179,119,910,336,511,042,578,471,420,354,483,783,586,
167,919,672,847,297,533,686,353,399,683,057,255,087,384,657,910,535,265,251,
004,888,498,814,248,131,452,258,263,029,284,262,792,838,779,807,422,295,226,
772,466,568,361,047,363,178,036,820,570,762,276,250,759,582,515,813,349,940,
289,335,961,736,739,339,476,243,667,773,173,265,140,114,617,056,121,418,506,
641,556,345,808,079,564,472,067,001,452,277,948,953,954,367,928,560,559,190,
004,440,598,603,944,454,238,458,685,705,757,354,644,915,242,153,061,427,159,
398,840,786,080,287,335,041,972,606,555,558,589,504,045,130,440,061,179,909,
821,836,061,678,329,581,868,617,593,820,545,152,903,924,069,550,806,533,200,
456,260,765,880,999,154,765,126,091,464,519,094,119,135,178,839,549,937,692,
591,267,286,185,651,862,780,274,203,076,017,715,458,747,195,428,273,717,510,
326,623,877,923,843,773,517,357,299,238,241,436,383,024,897,915,744,249,018,
283,941,855,020,016,256,381,043,282,003,032,340,357,642,577,193,956,735,231,
873,334,843,706,184,518,098,743,501,914,180,845,668,127,118,522,044,849,923,
478,627,318,727,946,313,788,767,641,871,133,605,708,331,357,760,996,791,716,
872,741,821,356,773,152,698,344,072,290,255,961,553,162,769,772,049,602,016,
787,158,041,524,709,441,036,687,074,728,770,829,447,000,399,512,185,967,184,
050,517,841,458,865,552,553,369,489,271,615,064,975,907,040,188,338,158,120,
438,319,632,649,115,001,159,806,960,623,475,346,378,312,925,547,037,212,158,
849,173,917,811,319,364,953,365,573,188,631,001,640,631,583,111,623,588,709,
082,580,744,203,584,468,855,679,393,185,432,616,501,583,967,435,061,407,305,
417,253,091,381,978,898,197,943,195,108,019,455,884,215,001,561,141,230,171,
297,818,949,611,918,137,106,731,656,610,855,888,598,544,630,658,470,836,643,
561,010,464,761,352,056,276,054,419,998,521,557,736,554,536,799,299,432,361,
134,953,600,116,724,278,191,030,657,983,210,699,354,900,876,959,366,968,639,
482,226,539,926,866,530,489,384,416,369,139,501,494,643,615,110,384,136,698,
555,240,780,368,030,474,819,418,385,041,477,012,900,726,727,158,969,289,273,
633,330,840,119,304,816,134,644,968,250,433,368,244,877,301,216,666,464,562,
324,885,320,132,627,253,637,502,466,628,440,502,238,129,952,038,681,855,319,
133,956,336,844,568,964,252,362,424,332,033,935,155,685,547,760,037,319,553,
021,657,759,832,179,358,248,873,896,219,944,037,087,833,860,321,935,532,234,
305,308,128,739,120,432,927,228,474,745,020,007,012,075,492,429,984,052,247,
801,869,320,686,834,868,535,123,954,698,159,647,955,996,530,368,945,372,213,
266,735,675,336,552,927,763,621,480,596,928,292,957,037,305,758,576,947,967,
996,275,932,640,927,070,838,900,577,317,733,042,156,827,383,120,292,794,541,
005,845,354,764,421,953,646,692,239,004,080,160,146,240,438,778,650,357,488,
299,749,233,360,687,425,326,672,328,034,659,506,313,054,267,121,850,524,553,
848,854,599,675,451,438,586,326,224,743,207,970,175,490,256,543,163,246,025,
304,533,920,565,736,988,079,050,198,991,898,267,181,078,991,638,953,166,395,
993,964,241,376,234,863,364,045,794,171,717,588,976,976,516,290,787,526,009,
901,952,440,021,913,326,359,627,531,554,897,595,552,819,610,537,357,784,981,
668,161,971,354,237,497,882,829,671,500,166,031,872,725,463,309,374,317,705,
111,151,704,199,460,088,649,536,970,855,999,735,569,971,314,518,086,076,387,
702,056,995,933,977,449,091,668,719,488,953,782,242,572,001,572,065,007,692,
786,582,558,177,611,961,897,749,949,256,881,436,061,841,283,358,432,096,768,
708,502,698,701,055,982,221,976,473,072,111,160,114,388,771,158,086,400,480,
438,123,219,302,176,340,619,260,164,989,014,551,075,800,440,619,852,120,906,
344,682,107,606,128,679,330,652,539,745,550,169,733,686,731,930,371,096,923,
263,706,713,131,744,425,310,135,186,712,611,082,980,480,725,097,121,761,707,
608,573,450,757,655,777,265,345,838,230,163,076,431,957,774,315,922,827,365,
642,679,226,823,682,845,471,700,744,448,629,464,391,534,262,587,315,775,703,
421,190,737,405,516,372,360,490,958,976,603,286,731,824,626,988,766,197,264,
304,687,125,175,276,811,730,690,826,731,904,797,850,766,691,758,636,093,875,
937,048,805,172,469,480,188,875,036,362,138,015,145,920,530,988,094,809,618,
243,903,566,509,714,395,097,274,888,403,770,427,813,243,126,495,139,296,544,
437,936,705,500,115,438,117,154,506,455,069,348,389,323,181,074,546,763,460,
914,911,999,540,388,757,303,799,591,730,723,106,402,305,302,171,986,630,673,
089,622,594,025,879,589,730,890,539,712,240,149,164,778,119,500,288,659,969,
367,652,399,997,851,636,137,801,630,616,537,192,501,637,724,171,366,546,850,
073,693,448,298,099,564,742,842,973,894,178,186,184,013,027,323,786,415,137,
275,421,087,517,049,689,727,818,524,724,456,105,610,404,265,451,755,979,439,
768,144,690,245,852,522,221,898,331,777,864,055,057,731,376,533,671,271,291,
844,405,500,080,084,544,404,087,201,518,126,723,199,513,498,163,989,261,068,
493,515,571,975,121,331,338,327,791,110,538,738,326,935,398,902,474,835,229,
442,401,896,733,399,091,162,753,323,749,223,513,130,929,717,056,406,393,952,
340,068,737,350,671,769,231,977,898,607,126,941,427,190,587,093,836,368,877,
191,565,450,732,115,081,474,937,044,064,922,575,149,622,837,049,287,177,482,
147,804,327,215,366,318,681,922,867,118,677,455,092,207,949,147,920,219,126,
900,182,266,145,804,902,161,345,848,006,267,896,695,016,598,420,773,997,159,
537,837,700,543,792,398,334,074,446,389,856,154,179,630,833,015,206,806,977,
351,841,514,819,721,457,230,503,438,854,450,573,477,912,807,923,906,217,774,
876,947,102,731,890,007,713,940,908,057,551,083,155,503,160,016,899,736,583,
052,251,546,734,622,125,740,542,065,693,479,870,115,486,300,145,831,580,990,
379,928,477,825,599,747,884,709,976,211,147,437,310,825,288,322,548,002,315,
526,294,313,378,632,795,364,458,815,202,867,886,991,579,915,466,487,377,088,
184,781,257,987,476,424,937,547,550,179,627,319,445,201,655,289,750,375,563,
214,012,679,433,159,596,393,652,892,765,069,999,861,932,983,465,048,299,258,
962,784,267,082,480,247,502,369,876,018,633,834,015,300,798,377,094,597,762,
442,943,897,866,349,673,368,335,519,365,279,237,679,296,670,430,622,963,843,
027,205,442,920,769,587,313,229,270,387,438,655,557,042,318,340,177,823,737,
521,190,073,947,591,620,085,221,509,164,795,527,060,898,982,289,239,046,441,
258,694,925,800,046,027,318,746,979,588,832,422,702,007,269,020,032,229,081,
048,911,366,562,862,028,391,589,744,901,631,218,084,880,408,115,560,103,621,
927,483,552,189,093,965,422,806,372,998,628,807,334,405,736,992,756,599,728,
591,299,228,246,156,745,119,838,295,691,713,996,543,796,747,550,785,105,016,
929,031,157,109,686,177,343,634,976,459,093,509,564,285,767,661,591,209,608,
684,399,003,625,329,832,992,905,448,858,341,999,840,663,030,776,482,847,900,
759,636,674,785,889,554,714,727,281,609,504,988,996,349,380,848,095,054,468,
735,665,891,920,653,609,888,085,231,972,362,562,225,632,229,344,172,651,132,
775,327,243,932,028,709,558,665,359,478,411,891,626,871,901,674,275,049,716,
054,376,220,679,438,650,697,430,524,667,928,394,206,955,220,038,091,837,874,
158,389,365,570,618,396,257,098,564,140,211,481,289,482,795,206,629,334,319,
401,182,687,700,361,634,525,735,768,974,756,434,211,492,834,372,621,786,562,
709,090,353,617,118,627,411,451,869,137,411,723,641,667,827,033,250,737,312,
193,742,186,456,344,005,573,606,144,744,903,281,195,367,616,119,054,220,252,
757,798,608,606,103,637,597,694,657,645,252,930,623,691,976,026,270,126,818,
162,482,862,955,445,424,080,594,579,343,957,540,582,004,269,449,296,784,720,
289,572,855,119,032,537,497,509,356,279,954,065,495,026,879,447,274,541,959,
241,410,967,359,199,046,143,793,868,102,858,587,227,953,718,695,445,062,929,
778,174,152,174,989,529,728,277,860,817,553,532,007,065,431,347,443,897,450,
080,099,554,241,799,046,452,277,506,383,695,897,265,256,505,413,509,375,835,
647,370,622,536,918,539,599,235,003,830,280,656,421,709,413,392,356,506,171,
483,717,249,793,821,123,232,979,078,645,177,848,294,672,161,784,401,814,790,
639,311,405,180,596,181,317,562,193,240,034,971,868,182,405,354,120,707,743,
311,548,790,003,475,676,830,290,705,865,910,933,803,189,095,192,054,439,257,
479,188,538,001,700,553,512,025,718,335,936,998,000,005,546,270,551,501,708,
797,145,651,329,945,136,648,660,127,535,203,725,748,787,217,957,102,362,343,
063,412,452,734,018,640,033,861,921,873,677,660,586,891,813,422,481,854,533,
263,774,657,872,721,979,556,968,029,077,223,757,218,452,546,843,737,545,068,
921,719,692,278,602,772,495,896,945,782,192,481,474,248,458,694,975,606,711,
637,811,481,779,734,595,667,754,809,649,075,599,323,802,985,778,424,270,346,
619,244,054,425,264,673,637,696,780,548,278,013,450,219,443,687,626,642,431,
793,909,039,097,159,518,632,436,412,819,490,092,715,219,694,482,431,759,519,
239,694,314,007,818,835,838,617,057,343,524,654,291,039,823,431,894,692,783,
992,175,486,794,793,794,074,167,608,330,556,562,154,839,079,141,837,162,384,
458,130,900,293,729,086,536,991,437,849,105,825,503,230,261,271,582,162,552,
500,350,076,843,225,366,834,151,264,928,936,178,126,281,305,970,290,204,512,
358,308,652,338,480,110,351,561,425,577,481,394,214,693,248,343,911,744,535,
974,347,948,031,187,435,053,296,531,074,370,833,085,446,888,836,067,411,901,
751,950,747,405,324,032,760,490,384,767,507,715,352,395,877,866,104,684,990,
125,997,664,007,279,995,041,341,273,788,702,909,438,363,203,190,710,966,230,
367,097,797,030,543,567,827,253,724,780,242,684,388,997,456,162,939,297,178,
734,860,994,695,132,505,847,063,458,738,226,670,375,939,503,266,664,609,310,
911,060,050,280,115,115,758,213,893,937,878,826,494,457,009,773,208,160,998,
487,460,281,800,003,061,220,251,704,015,111,905,781,932,961,758,247,690,310,
426,856,909,096,949,024,576,173,696,761,038,249,523,147,524,651,394,291,599,
792,721,136,378,971,584,857,577,140,196,135,494,868,271,565,325,099,390,291,
920,149,110,019,075,295,769,245,054,943,288,536,271,642,098,708,003,984,959,
264,822,292,763,731,537,609,352,434,180,676,459,665,986,067,629,420,754,421,
423,552,084,061,230,983,038,574,972,508,995,975,151,221,347,669,675,352,831,
356,809,220,533,965,868,202,937,554,119,117,578,766,608,006,766,287,038,735,
870,521,552,555,976,717,293,271,878,214,841,021,906,076,188,157,508,240,400,
593,075,748,903,916,123,362,531,341,202,825,566,177,329,889,970,130,070,056,
211,168,496,808,974,346,054,424,041,893,238,101,250,276,257,663,604,574,412,
659,342,497,443,231,147,728,426,071,845,673,993,202,874,589,376,193,876,057,
601,322,588,664,824,395,453,957,696,781,474,449,548,629,380,266,366,607,353,
579,400,586,161,902,630,765,301,286,686,786,184,061,394,408,913,680,835,395,
051,751,325,972,843,162,290,458,983,139,497,616,043,353,933,986,039,987,401,
065,588,861,312,905,668,144,874,436,925,724,186,597,824,676,477,081,024,333,
724,989,533,895,939,116,589,387,888,341,677,725,106,437,248,126,783,849,958,
525,186,174,343,847,291,522,074,087,127,947,883,682,888,369,575,142,062,262,
721,550,740,117,915,883,694,053,558,758,172,801,031,175,682,196,491,033,811,
720,360,855,166,767,067,321,411,347,105,034,284,567,277,883,099,355,933,568,
701,810,258,639,314,469,844,140,882,764,506,116,943,010,655,758,799,922,012,
649,383,005,101,526,414,968,351,730,412,765,553,441,801,915,944,528,060,288,
850,106,792,564,353,064,086,462,136,542,136,305,350,209,100,186,374,627,315,
031,502,543,070,846,482,132,645,911,482,934,378,745,492,748,082,662,662,279,
260,010,237,923,405,365,679,564,062,929,426,478,743,874,386,311,770,660,194,
229,063,360,612,372,333,530,303,099,308,829,224,019,177,116,928,292,294,184,
162,445,971,245,284,462,160,111,357,980,304,993,688,357,647,299,931,269,129,
577,474,539,557,053,551,090,224,882,130,641,218,721,373,917,790,346,419,362,
625,798,848,487,702,088,393,428,865,144,574,587,900,936,889,706,208,910,935,
971,189,389,970,209,337,150,877,670,353,706,515,240,575,247,509,672,333,076,
928,315,912,461,690,312,808,694,790,597,292,397,940,278,075,858,472,051,701,
369,719,529,354,669,441,608,304,210,029,973,111,479,296,077,327,289,472,172,
169,596,883,213,238,080,777,243,382,970,479,511,328,660,986,122,693,103,764,
657,138,212,108,319,883,683,911,447,223,628,972,404,325,713,473,814,170,728,
177,481,429,744,617,631,709,041,652,558,796,650,336,463,860,560,903,918,278,
622,033,081,731,895,311,662,617,351,781,508,843,721,884,190,595,322,309,165,
301,183,739,382,905,141,138,801,648,747,619,167,807,410,250,911,372,405,319,
560,488,376,636,158,057,158,133,305,600,250,112,959,378,902,037,409,417,313,
388,483,212,361,562,388,780,793,906,054,570,898,527,927,424,294,581,326,750,
587,768,814,074,383,934,187,100,495,875,491,898,351,435,778,502,903,553,111,
859,218,416,398,041,249,336,008,340,927,084,813,244,878,957,908,933,531,370,
015,501,270,334,295,290,474,260,504,578,560,445,777,397,546,859,469,385,410,
880,038,411,224,292,002,267,466,708,288,750,120,902,511,903,696,740,683,091,
528,982,646,942,388,133,982,862,909,356,770,599,866,992,321,243,058,700,206,
612,421,659,022,687,017,884,486,619,564,445,685,699,539,773,296,902,453,276,
699,633,575,982,315,624,733,658,016,215,610,215,544,209,195,122,363,520,242,
653,287,911,563,592,774,685,712,994,575,975,554,905,436,292,864,365,189,038,
627,535,750,679,376,261,282,477,851,618,930,922,276,425,635,386,979,349,800,
419,224,206,298,725,344,982,309,592,085,299,301,417,114,932,601,623,724,079,
529,259,858,508,575,061,994,308,433,208,997,176,991,491,580,105,133,667,674,
234,520,985,553,809,161,297,622,072,606,055,895,570,186,986,812,566,308,075,
530,510,382,458,614,173,637,542,408,347,234,717,647,685,285,159,323,626,337,
202,024,896,338,501,600,199,230,174,433,466,194,939,850,611,754,604,761,974,
780,123,037,260,157,511,798,008,248,725,841,212,865,793,850,850,174,074,795,
634,823,478,742,580,134,425,976,315,580,856,749,517,864,425,260,021,516,086,
733,752,728,905,553,305,053,961,728,406,113,298,003,114,642,284,866,678,901,
558,289,384,107,227,331,440,830,247,076,093,282,993,134,394,503,343,557,445,
324,137,008,724,461,095,755,516,424,187,747,469,018,762,256,286,844,446,251,
493,900,518,657,406,127,352,937,350,601,356,690,140,051,314,084,128,463,112,
483,221,815,311,180,714,442,090,440,109,575,269,985,006,736,614,299,337,033,
020,309,692,282,275,601,324,543,226,727,202,746,327,575,789,610,727,130,273,
086,640,932,677,436,298,984,966,385,878,564,493,052,307,992,629,146,902,221,
525,159,059,803,915,927,854,333,486,341,730,076,720,759,430,444,038,800,969,
044,463,351,508,816,049,394,722,156,452,568,989,245,049,209,790,147,094,335,
700,506,052,654,967,423,047,847,053,385,896,018,528,772,049,591,889,034,473,
111,097,587,413,948,111,245,814,967,122,422,923,701,787,127,928,797,587,357,
217,008,562,944,557,699,795,077,172,710,948,131,659,817,698,054,107,518,746,
604,217,922,830,309,419,787,989,869,755,933,825,441,336,974,655,073,386,159,
785,265,592,232,258,480,137,361,696,306,571,641,659,253,421,686,125,371,149,
810,945,679,012,400,067,245,763,722,621,674,248,864,357,121,364,582,861,494,
550,749,701,078,892,003,072,189,071,816,776,811,790,798,099,120,692,843,958,
651,246,356,476,623,942,875,741,196,607,086,800,980,876,044,096,710,145,512,
449,811,827,656,868,984,967,277,575,671,023,469,329,563,056,295,652,377,220,
894,412,865,654,185,342,151,396,336,001,035,837,532,259,657,356,194,491,479,
152,622,301,266,528,244,411,562,042,761,170,313,899,394,971,878,224,178,168,
429,088,895,799,230,681,540,824,762,382,548,660,887,907,142,204,390,870,361,
080,415,908,989,499,591,809,642,817,146,419,795,638,878,837,607,938,957,988,
662,364,508,397,209,758,384,518,855,494,686,577,394,357,835,830,546,734,482,
504,754,051,257,828,881,107,002,908,800,115,464,973,307,390,872,114,495,363,
371,411,738,248,490,186,596,784,051,992,554,126,125,625,747,852,316,877,655,
397,675,503,371,213,637,706,097,003,991,500,336,740,757,867,169,702,966,183,
917,663,801,762,135,973,657,500,145,315,773,416,496,101,683,562,819,671,660,
177,382,632,171,067,521,692,939,523,335,345,954,494,555,347,708,258,380,388,
390,303,825,369,070,599,397,269,360,963,490,533,190,808,784,113,484,347,601,
920,432,199,650,345,630,631,271,300,410,147,756,993,746,672,511,743,838,376,
531,199,523,014,905,408,146,361,833,888,136,760,152,407,860,912,506,734,470,
893,937,300,328,244,291,161,414,556,204,738,203,798,254,996,602,045,012,128,
078,746,749,992,311,587,939,970,228,726,098,838,205,305,539,062,963,314,050,
199,200,740,752,235,470,439,917,207,343,093,367,686,195,366,707,867,228,585,
035,541,812,734,348,948,797,315,996,364,023,243,270,108,785,946,726,900,148,
161,044,246,880,258,970,979,432,114,633,679,225,288,805,519,711,862,507,102,
006,860,768,153,218,949,284,393,141,217,994,094,686,916,074,266,831,473,206,
695,144,626,823,579,083,470,422,274,756,728,000,883,227,773,269,585,595,566,
953,517,160,669,609,917,274,775,042,466,025,268,950,287,976,640,792,259,257,
313,917,361,815,218,354,369,746,415,830,596,430,315,330,966,852,538,968,279,
110,111,529,649,429,842,371,000,013,968,589,146,820,212,792,033,703,781,934,
759,655,385,552,571,981,349,546,285,043,574,165,082,512,441,376,640,588,832,
718,847,353,969,081,317,954,731,456,858,820,271,099,637,774,356,362,491,736,
041,606,527,147,065,234,173,320,634,138,023,891,368,718,209,090,463,514,083,
740,055,318,127,337,924,153,614,713,961,468,612,029,233,963,524,687,674,043,
290,425,773,990,918,137,117,048,143,379,821,333,582,750,343,749,392,793,905,
771,447,755,200,335,188,126,766,076,232,713,098,825,509,187,078,164,165,452,
979,909,684,420,168,764,532,229,608,098,679,770,735,712,827,189,691,337,447,
544,438,722,595,147,418,463,285,758,410,009,586,825,961,333,116,386,294,230,
178,801,734,000,287,317,054,698,869,240,962,689,407,138,925,193,781,101,165,
808,819,915,293,612,893,176,626,911,550,983,333,443,228,779,964,318,074,037,
767,258,619,083,332,282,465,158,043,477,918,757,748,189,815,200,261,502,081,
867,770,096,295,655,923,222,881,880,393,225,619,254,080,424,759,979,274,372,
765,082,330,267,388,637,022,425,121,493,638,428,613,779,365,762,184,383,569,
778,503,441,183,836,125,202,634,067,273,379,082,306,141,331,162,472,999,250,
027,431,244,367,664,039,386,128,190,232,174,048,688,933,494,093,562,408,733,
550,706,138,058,892,000,774,847,735,476,327,994,823,740,049,200,422,552,491,
953,873,225,585,803,034,817,130,919,117,668,174,170,559,999,412,179,998,036,
653,793,914,724,864,034,138,889,224,717,425,428,501,415,238,420,338,338,937,
975,818,101,701,769,342,418,982,977,221,500,112,581,704,219,209,029,662,757,
304,230,023,404,253,274,389,572,310,794,436,731,647,129,337,756,358,057,531,
421,210,465,797,984,770,854,994,844,921,561,546,286,262,780,428,173,276,925,
331,877,727,011,083,202,758,243,203,155,695,577,572,437,841,231,159,563,907,
921,326,817,618,641,306,125,806,764,473,032,141,323,580,327,992,414,664,918,
212,609,899,317,209,506,767,828,353,129,947,484,470,773,309,102,707,174,971,
868,504,172,221,312,017,444,997,071,300,760,944,484,045,075,290,667,471,717,
827,289,232,658,520,274,408,785,427,099,221,446,626,588,075,873,675,016,815,
610,920,857,414,312,240,864,190,976,127,329,366,876,769,455,515,108,166,497,
037,362,264,086,562,481,295,450,578,355,292,279,012,787,128,336,900,559,246,
459,123,067,183,259,848,286,899,284,349,267,279,485,398,232,969,667,505,498,
753,463,409,649,522,372,340,542,005,417,794,606,232,957,879,360,535,125,903,
055,611,349,774,315,045,236,906,771,378,179,278,490,476,693,943,809,193,143,
405,272,477,973,455,338,486,589,665,529,380,083,056,941,186,292,941,782,580,
133,876,640,873,325,242,375,529,512,974,427,081,887,395,097,179,746,477,800,
447,965,839,432,930,241,498,319,825,632,886,881,988,403,794,457,937,688,603,
163,918,748,385,108,058,743,131,722,999,592,056,696,843,189,942,765,364,913,
071,830,606,570,587,276,148,118,595,811,626,550,936,860,963,162,588,875,370,
191,189,914,390,342,980,166,074,780,129,270,001,023,383,356,511,808,805,000,
995,004,670,930,177,855,534,469,416,878,947,722,766,301,905,475,530,667,934,
821,738,429,692,478,494,061,580,641,420,200,367,116,969,418,795,955,996,587,
135,373,955,190,750,585,731,549,944,888,326,918,255,906,757,132,758,618,037,
126,799,180,796,594,796,301,671,726,730,439,342,455,004,040,995,235,670,938,
618,078,919,566,086,357,695,499,482,197,298,940,482,857,887,988,430,043,182,
114,064,753,846,001,678,305,669,963,613,449,865,006,598,663,058,440,931,382,
184,499,016,668,824,675,163,089,891,013,444,493,911,013,257,318,607,162,919,
587,235,474,217,918,218,378,140,583,536,917,209,039,296,072,497,492,503,470,
445,079,610,267,756,395,478,219,393,647,133,701,834,020,521,370,040,429,160,
648,132,680,272,840,897,018,153,566,906,489,015,273,233,770,781,964,062,453,
035,312,698,451,199,941,825,317,975,949,773,351,913,205,355,948,555,049,400,
672,906,675,261,360,244,092,572,776,252,237,837,142,292,453,697,478,769,628,
420,238,099,715,247,196,867,834,462,017,028,585,655,558,675,980,535,068,603,
124,196,822,044,108,200,168,950,527,352,032,217,809,267,290,139,856,000,830,
705,691,885,023,027,671,631,160,391,039,322,341,592,345,590,745,220,575,554,
301,305,242,743,044,166,180,184,390,884,824,086,579,583,860,535,876,406,040,
717,416,820,647,579,782,551,285,838,636,566,464,293,981,616,344,700,269,214,
980,763,879,579,417,799,651,215,667,865,817,318,895,029,222,251,150,327,244,
736,582,531,015,270,182,509,818,040,087,218,593,469,732,972,256,859,660,416,
109,882,625,064,350,061,387,311,425,834,840,065,507,264,658,096,703,130,840,
777,251,855,750,040,234,191,912,583,619,199,039,024,807,865,673,794,620,334,
650,136,363,270,024,228,141,066,851,081,970,449,445,241,029,847,754,575,697,
024,412,657,906,483,082,027,978,028,619,457,596,677,614,524,361,934,577,476,
686,805,583,360,041,516,082,567,739,711,765,061,267,512,138,623,162,813,531,
429,688,886,615,683,381,939,049,093,658,465,374,006,625,367,006,010,928,633,
217,862,054,862,186,368,035,195,762,564,017,150,416,604,184,770,917,474,211,
357,020,662,776,796,511,524,217,349,107,409,994,805,986,884,031,715,404,005,
907,768,562,269,343,336,462,562,890,884,127,249,910,026,644,270,505,110,473,
634,344,926,153,142,603,800,156,451,165,749,881,996,674,698,980,090,454,804,
565,499,704,809,230,868,313,232,376,614,832,526,154,789,036,635,167,930,167,
561,110,685,939,156,887,777,396,864,615,920,552,231,468,534,199,217,287,593,
508,721,324,858,786,002,054,315,279,534,127,861,246,004,586,699,074,188,704,
240,534,311,679,225,744,891,788,304,712,078,897,169,398,575,712,197,418,214,
353,724,156,629,947,185,703,992,078,023,996,019,857,075,876,843,456,846,060,
184,403,172,873,995,750,898,159,445,949,137,061,348,882,747,155,916,301,513,
330,381,398,189,803,611,284,970,270,694,811,346,952,893,829,926,473,405,200,
559,546,896,050,956,767,274,680,171,762,460,299,143,915,102,279,769,623,109,
413,322,345,194,723,909,694,591,815,616,284,106,676,165,008,414,914,025,497,
576,984,825,032,895,315,146,590,190,232,089,933,149,060,405,928,008,429,726,
551,076,480,819,387,747,484,447,538,920,889,912,230,115,449,888,538,577,915,
666,341,713,072,405,673,366,384,216,744,225,779,632,786,986,274,434,615,666,
485,132,217,429,487,234,633,055,161,682,091,709,311,719,662,198,611,421,851,
791,000,420,849,413,702,132,359,145,099,723,283,645,226,099,600,102,033,667,
980,360,027,856,298,067,615,203,121,074,500,031,592,578,832,470,896,979,434,
965,354,972,072,596,307,610,713,663,601,185,171,278,517,815,639,041,992,714,
672,116,199,390,072,728,897,985,569,293,174,559,429,051,876,885,116,220,059,
831,870,436,980,755,762,022,020,506,117,893,159,828,445,897,998,571,284,577,
087,422,502,575,155,453,380,530,425,712,534,236,563,401,216,191,243,569,154,
153,398,078,467,934,797,449,027,681,064,452,713,161,359,328,017,066,342,333,
325,829,369,047,392,518,074,449,104,775,699,127,242,901,512,054,287,763,076,
497,027,399,874,594,578,718,006,993,148,420,334,300,348,375,033,028,588,344,
288,387,644,512,549,229,783,776,386,537,681,833,499,819,021,067,897,888,751,
840,326,393,777,585,738,232,143,659,101,471,864,977,262,460,836,582,212,426,
918,753,692,783,465,358,880,497,513,009,929,731,234,426,246,056,000,576,536,
901,321,676,718,003,631,497,838,605,645,132,366,185,848,069,404,316,608,680,
860,365,197,473,827,398,235,644,089,369,289,141,074,160,790,803,734,182,108,
083,795,776,071,426,600,313,349,441,170,408,217,257,492,316,486,510,245,430,
077,719,769,529,238,879,358,322,482,377,252,108,907,637,720,036,409,602,661,
544,755,900,666,302,723,337,871,751,511,855,531,780,598,193,873,423,396,006,
521,855,293,999,317,888,112,078,730,244,248,959,583,104,275,765,262,689,338,
981,970,704,516,666,312,635,528,401,232,275,617,929,938,580,331,241,000,879,
761,481,195,707,306,966,870,329,460,034,562,568,170,245,627,337,205,735,641,
244,504,570,497,202,740,138,516,982,058,445,338,644,266,798,704,469,093,646,
055,205,321,083,731,861,869,653,502,943,751,684,676,582,649,639,082,140,846,
672,677,869,201,677,213,821,139,969,971,382,572,964,533,456,110,158,820,530,
118,579,295,449,769,922,192,943,603,389,726,411,194,463,628,551,710,477,815,
966,590,639,404,033,732,639,368,910,241,608,221,208,667,346,497,715,265,787,
209,500,624,652,860,805,415,572,121,402,559,322,068,279,306,674,549,249,429,
470,620,605,816,527,405,557,175,458,408,061,401,601,034,826,243,867,933,257,
305,096,586,574,556,099,434,385,235,908,874,957,609,563,490,578,106,730,236,
053,324,246,046,781,993,819,602,491,394,010,890,226,587,641,638,808,553,431,
140,300,311,286,020,958,514,367,658,272,528,606,787,952,531,498,945,191,565,
513,653,648,214,308,337,184,753,240,602,630,691,332,619,165,698,764,445,896,
696,933,673,719,880,273,403,973,991,124,198,651,353,037,354,230,751,940,648,
277,093,629,563,101,738,934,117,100,248,332,938,512,000,281,367,463,274,170,
697,855,865,330,688,942,423,101,236,588,360,392,241,988,099,921,634,854,329,
690,170,136,334,332,495,902,229,891,206,448,798,025,838,304,560,204,534,113,
739,459,366,409,177,225,192,474,009,969,468,956,609,391,051,291,523,693,450,
320,847,849,101,772,759,959,004,171,696,330,474,418,994,272,526,335,372,279,
784,398,974,999,325,099,233,425,817,325,591,337,976,418,301,450,302,735,949,
001,009,178,480,401,292,738,983,122,494,786,637,476,813,218,368,037,967,353,
222,560,707,583,214,271,123,789,556,669,965,639,255,945,732,423,859,585,582,
326,736,262,472,171,455,737,189,848,821,163,515,691,549,930,088,419,410,646,
584,600,180,650,969,222,088,192,532,065,899,822,220,834,811,287,128,812,184,
689,105,202,357,844,394,221,857,044,415,690,991,204,971,816,518,657,422,584,
886,471,860,507,185,898,669,962,521,789,060,064,553,561,169,230,545,684,304,
479,157,441,455,034,545,262,258,215,130,391,163,591,162,399,079,184,547,749,
228,100,498,360,355,587,544,993,109,473,309,191,844,766,990,346,106,848,979,
022,599,913,277,036,310,827,938,050,144,641,145,148,776,295,657,540,814,201,
281,627,913,112,366,716,219,667,244,078,903,719,243,773,412,422,122,203,864,
155,351,787,403,865,700,389,587,298,266,002,381,865,695,793,780,788,084,104,
755,891,643,748,877,354,028,837,035,010,258,947,618,480,717,669,261,099,980,
138,964,724,747,100,407,412,098,689,964,713,354,232,850,917,700,163,891,662,
889,873,464,852,342,625,302,246,149,476,417,992,341,865,151,257,619,311,977,
537,817,524,621,595,763,168,596,281,606,981,122,521,497,182,964,326,711,476,
679,931,569,302,114,195,495,435,906,418,034,304,527,262,581,007,755,843,617,
265,093,995,187,294,520,571,218,044,502,437,071,270,009,239,659,635,902,985,
708,821,214,433,807,319,019,949,599,971,555,696,425,562,133,159,316,935,902,
925,056,539,052,184,321,991,243,863,701,979,537,043,513,693,556,006,958,098,
497,251,591,542,568,416,050,663,491,886,612,968,123,597,299,065,143,592,193,
563,131,460,348,999,024,113,801,057,231,625,513,218,212,054,650,459,373,371,
464,908,951,811,849,467,743,774,619,787,089,042,326,222,650,802,328,632,110,
034,096,218,570,287,130,091,251,088,811,726,171,746,804,744,963,920,224,023,
197,688,538,058,717,762,385,768,154,145,542,177,661,148,426,947,535,753,927,
318,303,486,010,035,425,589,561,677,369,045,195,383,897,882,169,961,718,519,
347,633,033,948,717,481,798,032,263,746,428,972,282,663,865,439,968,231,644,
974,700,257,609,843,631,552,532,394,417,573,155,803,823,403,349,792,693,373,
962,899,789,901,788,672,087,655,447,693,570,305,811,134,074,715,635,869,462,
797,518,657,293,369,049,460,643,712,851,060,743,547,556,489,622,141,564,565,
339,287,348,757,568,077,686,258,989,787,608,348,267,534,051,803,463,285,366,
233,821,475,994,937,690,669,260,370,313,881,140,154,899,057,000,894,299,021,
003,260,640,372,391,158,034,589,598,819,461,727,559,128,508,997,559,032,180,
909,568,328,255,420,374,844,822,627,440,370,961,402,327,405,317,003,398,247,
222,900,833,754,406,506,456,222,094,222,206,446,592,723,332,482,822,261,915,
725,223,309,697,195,024,832,423,950,065,852,473,550,762,010,721,063,142,448,
915,829,632,668,266,482,233,336,432,103,394,608,000,407,083,450,978,518,101,
335,326,063,797,377,446,520,054,596,491,309,949,808,058,848,413,556,656,274,
771,002,890,460,026,193,290,781,075,630,098,544,152,815,840,496,229,268,705,
990,863,490,687,386,158,932,324,354,513,061,883,061,870,732,389,533,969,628,
014,394,578,150,852,316,148,865,389,569,854,821,274,450,421,966,935,734,853,
455,288,015,451,145,576,279,285,318,111,088,418,194,614,975,072,931,752,427,
409,388,152,803,959,945,453,412,085,457,246,668,389,764,713,455,280,492,962,
037,095,560,343,671,606,089,439,088,932,795,343,430,057,069,378,124,623,915,
543,358,167,322,674,264,281,705,000,588,293,806,670,085,440,981,671,090,553,
031,561,377,228,052,575,913,820,702,601,363,779,236,305,686,254,334,456,036,
383,316,195,200,115,996,327,752,344,365,999,945,097,880,115,096,763,881,290,
621,141,983,184,524,766,584,579,343,318,330,635,508,055,058,101,443,906,079,
628,697,367,489,420,422,332,699,320,909,333,145,440,207,925,589,213,150,530,
004,002,328,005,453,327,421,387,928,356,489,349,860,691,282,062,373,556,350,
644,481,999,965,265,564,919,671,248,624,746,995,854,832,933,122,898,419,980,
200,260,856,688,845,608,653,952,273,807,596,747,547,851,808,550,615,335,118,
230,551,265,451,891,967,500,816,110,663,263,960,860,480,679,186,914,568,362,
276,948,462,388,936,067,764,101,460,455,869,839,460,113,419,885,739,393,688,
377,419,867,787,042,716,455,991,948,144,021,381,811,651,615,804,368,114,291,
986,523,582,590,962,194,251,508,146,548,108,540,951,786,542,723,250,164,032,
320,125,704,595,166,900,168,303,588,919,385,953,304,692,780,539,432,535,949,
452,577,256,939,461,170,925,485,910,371,258,934,296,066,797,747,307,309,831,
855,431,779,136,349,265,643,607,125,334,604,410,442,249,002,125,712,051,478,
127,515,218,233,155,835,063,563,111,017,128,319,993,893,358,562,438,256,085,
962,499,690,220,940,655,390,431,599,181,075,152,345,021,656,703,442,136,543,
000,420,859,607,372,264,831,191,730,245,870,303,792,381,826,459,789,897,547,
184,985,856,769,866,144,547,907,098,509,588,143,533,490,956,214,740,923,414,
067,313,535,802,754,983,135,170,162,340,805,114,186,346,939,652,566,470,070,
820,354,864,419,403,740,615,823,315,323,395,295,053,373,947,694,454,667,257,
282,363,105,920,117,183,671,375,408,240,684,034,921,540,777,943,458,379,518,
239,742,607,695,180,766,363,416,490,771,906,102,412,961,975,430,025,869,662,
497,820,255,367,487,760,634,144,121,407,012,843,747,114,709,369,790,590,729,
497,843,099,186,194,244,921,571,984,265,885,878,800,523,065,046,303,217,822,
766,728,620,321,806,763,454,115,888,235,953,738,834,183,212,870,143,134,400,
425,126,648,151,764,935,664,486,597,685,243,471,429,374,800,071,580,338,279,
331,940,925,507,812,026,850,657,760,135,324,682,392,205,443,875,368,440,686,
433,826,862,511,446,839,026,249,319,622,771,499,878,446,834,287,627,251,071,
489,327,362,683,366,774,879,841,960,766,386,725,674,940,680,092,821,000,109,
722,858,650,361,762,623,258,935,899,739,599,313,186,337,276,936,543,169,185,
846,196,045,133,159,486,916,484,105,825,780,376,158,550,010,399,350,583,784,
167,785,550,360,208,051,254,808,155,410,837,362,798,320,368,856,359,370,013,
469,837,751,379,826,105,912,920,022,451,047,745,910,196,238,743,325,423,137,
128,999,722,290,476,703,531,303,391,844,020,104,876,184,233,258,461,362,620,
718,022,404,110,194,523,012,311,896,717,064,787,224,474,864,189,477,263,560,
499,438,674,472,908,266,426,481,879,659,821,654,859,267,972,598,777,701,377,
089,666,002,321,614,482,546,820,337,925,676,650,905,909,325,303,226,178,909,
049,756,869,025,075,853,054,849,968,253,558,879,122,444,274,188,233,327,343,
243,676,620,466,761,478,084,611,521,671,333,519,323,470,424,162,652,161,592,
395,149,104,131,314,885,922,210,958,306,143,312,805,666,223,430,705,555,534,
258,432,422,702,488,410,158,300,052,849,025,651,667,461,743,174,164,213,649,
719,938,877,321,575,200,133,663,150,833,761,965,832,818,137,241,045,913,661,
130,461,520,411,850,147,618,907,962,545,574,283,367,267,005,421,923,455,520,
313,421,000,248,887,299,107,653,867,162,401,093,972,547,932,559,151,812,583,
730,917,127,749,319,735,298,844,857,705,756,354,205,225,809,315,023,891,002,
610,114,626,923,467,736,004,784,905,533,156,204,002,284,571,153,966,886,077,
681,412,368,871,312,606,487,313,424,831,965,880,457,791,693,622,543,889,788,
873,225,340,660,016,987,969,906,640,899,641,562,091,992,896,397,381,173,434,
861,937,361,847,734,303,998,081,164,918,760,473,468,434,938,435,376,989,154,
546,990,511,095,335,959,693,000,230,301,389,031,205,471,077,924,964,449,347,
259,995,602,097,586,547,400,289,550,542,050,954,041,210,332,340,587,880,771,
999,140,481,857,777,569,237,049,281,152,613,795,326,499,409,955,693,297,736,
144,516,454,160,521,698,487,864,644,205,125,584,398,549,425,205,620,353,085,
712,445,127,973,828,439,834,898,559,877,241,357,807,482,779,545,933,117,085,
533,622,485,413,904,390,297,788,317,278,213,684,175,653,123,404,718,049,206,
180,154,684,122,468,097,682,733,207,805,277,799,192,863,088,472,233,292,284,
423,336,251,707,813,147,082,869,648,967,626,625,452,252,963,812,864,243,138,
126,427,126,156,491,088,302,772,468,834,087,307,026,530,238,735,310,222,939,
091,037,725,713,002,005,651,034,594,256,512,640,057,228,457,730,860,448,605,
626,025,893,576,802,282,375,556,237,666,894,941,466,965,735,191,953,228,860,
194,201,372,043,971,895,018,964,980,539,356,768,094,955,373,145,173,173,833,
171,626,451,176,139,067,678,360,749,113,461,492,320,290,500,586,747,789,988,
658,459,074,000,804,314,867,926,153,296,620,093,265,232,957,661,578,234,343,
441,744,699,306,694,869,161,919,317,131,195,577,932,164,701,018,638,490,861,
812,190,291,304,176,237,200,819,704,876,660,139,042,690,087,179,675,510,295,
413,451,842,464,505,468,996,454,799,646,421,270,840,122,126,870,231,910,860,
618,015,565,174,903,513,948,137,545,180,777,131,025,818,966,655,471,476,234,
330,730,923,966,044,739,243,737,744,700,206,064,449,928,783,693,978,760,902,
526,754,081,103,000,628,499,541,489,868,723,872,745,515,596,365,177,098,189,
622,257,287,964,979,254,599,586,323,357,921,567,365,860,899,702,788,059,808,
674,831,179,185,839,445,112,267,866,285,396,127,056,305,546,176,502,766,602,
755,631,733,394,586,783,620,337,581,685,838,057,019,949,671,675,610,866,565,
490,538,979,476,778,639,814,188,370,242,502,875,360,479,276,894,855,395,361,
149,454,445,451,827,173,252,516,882,752,106,981,866,050,944,743,981,905,315,
326,374,830,665,574,792,841,172,962,751,698,784,502,299,184,379,616,585,432,
732,158,179,210,146,161,750,740,106,916,002,113,086,886,567,118,152,534,925,
076,243,618,710,631,394,631,787,982,365,416,026,377,095,773,670,740,484,177,
403,623,062,577,071,082,326,904,351,519,059,338,447,734,279,678,159,658,567,
997,985,747,104,117,042,724,919,140,833,838,309,498,628,203,269,227,472,478,
831,600,054,805,675,995,461,821,401,742,694,761,416,218,002,710,524,267,203,
649,123,378,134,064,393,350,265,495,480,156,336,050,961,019,318,381,010,442,
852,824,809,280,496,784,681,222,556,629,765,611,239,023,341,430,646,101,279,
518,444,814,293,940,733,090,164,496,764,538,627,408,358,645,967,374,968,177,
889,428,476,935,932,686,349,689,838,437,285,170,901,391,704,199,412,893,261,
339,677,218,560,324,558,240,239,121,591,244,297,947,442,083,996,997,335,375,
707,178,887,378,825,565,864,971,875,409,703,062,236,578,609,584,789,801,234,
371,143,837,014,413,002,497,767,313,965,701,831,915,720,014,472,531,044,916,
641,460,552,262,719,295,148,536,293,541,182,461,412,838,688,226,759,991,643,
129,961,287,434,387,150,467,733,259,263,053,602,274,352,385,886,799,800,200,
509,554,812,179,415,875,642,398,747,190,779,516,644,407,776,855,377,591,858,
783,806,805,710,189,639,082,856,294,349,262,553,855,317,036,859,016,028,174,
636,189,086,450,880,094,109,620,295,905,777,570,175,977,838,429,740,055,031,
364,191,258,162,779,486,093,306,783,633,709,307,833,879,671,963,027,949,680,
800,070,186,881,813,956,723,549,302,384,037,097,417,368,539,904,054,840,198,
956,641,078,734,448,008,103,497,573,139,062,440,855,608,024,160,917,026,777,
606,118,091,161,274,078,768,038,092,617,586,140,374,119,050,609,348,996,825,
719,132,390,947,309,510,951,270,100,266,102,831,487,341,619,919,951,315,343,
279,453,112,608,983,249,769,643,886,216,450,739,050,299,224,657,511,213,275,
951,645,294,809,163,532,006,350,487,474,918,563,388,400,599,441,827,780,877,
398,938,175,966,089,117,165,848,027,089,567,766,695,542,231,342,406,772,078,
753,189,977,963,290,866,473,545,786,902,976,435,833,611,402,789,254,788,815,
914,436,550,786,666,389,376,199,870,030,948,082,753,596,813,186,903,556,663,
865,080,101,617,707,630,376,582,092,924,625,329,008,584,386,071,886,150,273,
551,107,081,084,680,390,031,959,622,515,380,545,341,224,272,899,378,565,294,
602,056,676,546,563,536,717,754,872,253,372,521,477,886,185,312,322,471,898,
994,041,708,890,327,205,013,607,487,170,696,771,590,985,709,513,018,717,426,
841,794,732,916,019,161,349,610,618,726,940,513,435,696,142,247,717,903,578,
378,227,820,474,816,900,585,193,896,283,594,172,718,340,228,592,898,998,570,
720,589,899,615,227,115,933,233,531,077,913,805,296,036,583,557,994,176,072,
697,063,523,855,270,373,006,486,946,479,165,790,000,248,664,773,413,711,564,
781,227,808,337,887,502,203,997,163,078,007,445,189,728,068,461,046,202,523,
618,876,556,995,829,285,324,173,834,182,946,416,347,430,680,233,889,156,507,
549,242,401,136,380,233,095,515,685,256,685,960,768,620,553,241,391,769,422,
613,990,912,310,666,207,018,316,188,921,627,692,069,425,148,615,161,044,211,
355,841,204,887,730,538,126,729,172,556,894,625,050,412,593,280,554,894,532,
607,592,100,092,291,114,755,513,992,570,390,340,553,834,802,439,299,817,747,
748,574,555,271,134,282,699,928,671,059,911,662,752,213,318,808,736,816,296,
268,441,325,589,959,953,703,594,511,176,297,069,543,004,681,237,500,688,556,
536,837,782,611,067,902,448,278,665,540,423,738,943,876,037,136,697,195,889,
394,194,745,121,152,004,573,919,480,237,685,754,873,156,710,977,794,874,327,
368,415,501,151,178,056,511,766,581,258,218,588,953,489,038,769,951,281,785,
215,389,576,543,316,105,182,464,813,919,443,114,422,981,063,400,039,695,598,
562,092,477,213,656,648,571,560,971,263,001,287,219,704,205,232,807,937,574,
138,026,874,377,748,564,361,914,539,380,384,005,592,628,914,062,421,084,929,
362,191,057,928,075,821,985,488,609,106,468,579,872,484,771,319,321,508,187,
756,393,780,037,711,090,813,790,737,567,642,310,925,550,539,499,088,559,683,
380,497,784,021,584,207,827,879,680,819,321,839,128,157,379,777,607,975,882,
376,946,313,698,136,490,154,568,932,764,330,650,922,572,113,694,303,967,386,
076,048,655,121,132,791,666,684,563,507,982,603,225,895,789,587,976,594,100,
146,224,282,282,500,518,728,678,213,891,988,417,841,305,533,282,609,148,288,
148,897,764,744,378,834,510,786,302,850,262,597,767,746,967,922,844,873,976,
147,352,707,727,728,050,162,190,577,144,761,236,616,613,249,232,803,324,998,
750,720,694,752,240,322,266,081,412,545,725,504,244,567,007,550,774,080,135,
047,345,829,839,181,805,994,691,349,622,945,849,051,827,313,653,921,777,330,
182,645,014,870,049,540,730,978,170,511,795,618,277,203,316,094,245,528,358,
816,975,617,398,768,690,795,611,429,293,348,896,920,767,537,691,021,941,609,
094,262,131,776,104,269,767,045,742,613,011,832,469,452,308,633,158,032,242,
564,215,700,403,954,423,537,621,152,267,568,421,218,118,381,001,365,448,938,
513,593,303,044,290,282,798,622,414,438,119,969,227,646,867,622,360,108,262,
901,699,958,442,128,805,679,171,278,431,478,122,009,934,020,076,807,838,555,
864,666,454,690,700,352,800,175,310,294,922,580,557,599,958,243,878,946,352,
537,520,547,206,445,414,154,005,268,085,396,423,098,238,802,263,199,643,825,
497,135,551,136,814,073,218,578,717,782,927,447,425,766,419,517,016,410,062,
030,726,539,800,816,673,132,454,358,744,143,518,247,085,671,075,099,534,943,
467,270,733,549,750,693,754,880,549,780,703,911,559,929,431,691,235,625,994,
357,768,626,416,707,060,526,081,014,073,251,548,989,068,640,906,965,010,866,
625,917,261,325,500,228,930,730,655,591,688,962,240,050,760,472,388,028,654,
110,829,989,863,416,109,061,452,304,613,393,180,784,431,967,870,254,062,652,
064,636,263,763,913,468,903,925,744,263,567,662,657,279,869,428,340,461,895,
272,556,073,778,947,368,214,429,686,612,143,434,567,055,110,618,057,173,761,
771,988,985,521,549,099,941,792,980,213,997,694,828,279,183,338,668,778,580,
376,622,676,347,953,645,695,219,636,594,272,816,100,407,755,398,526,114,218,
160,435,350,126,472,319,587,588,060,806,573,516,132,135,990,112,936,968,020,
246,524,806,736,010,175,103,926,579,471,314,657,873,344,291,830,078,091,317,
259,711,075,859,539,168,225,688,706,235,463,381,516,177,689,596,999,701,942,
000,819,469,641,838,657,749,274,510,791,552,572,611,300,638,708,145,975,665,
032,821,320,252,657,883,937,075,704,145,140,331,448,493,737,777,289,911,495,
917,885,031,143,557,729,748,932,800,044,054,709,825,340,283,394,563,916,669,
461,719,679,365,784,268,825,162,126,347,514,778,593,558,051,872,719,555,205,
414,488,329,006,975,098,778,653,311,870,022,421,171,258,701,154,930,903,005,
504,241,570,661,068,905,274,815,711,818,987,698,249,441,123,093,341,713,895,
691,946,331,474,993,285,328,736,020,284,742,304,371,909,072,589,883,203,121,
639,657,561,596,882,896,488,515,652,678,051,664,380,690,690,804,317,795,063,
469,496,162,065,363,756,495,602,537,569,841,106,913,716,229,226,311,426,182,
623,158,691,523,588,149,224,323,707,513,743,933,634,459,238,801,703,593,003,
640,726,698,568,186,765,461,094,438,184,869,613,178,800,343,942,871,673,824,
928,501,813,458,039,945,690,232,156,635,035,819,445,958,713,905,848,551,981,
125,565,842,472,971,142,032,578,109,103,718,637,152,853,323,615,060,053,945,
636,168,560,283,299,684,416,406,583,790,800,538,449,496,984,076,528,344,714,
892,916,870,860,557,405,043,570,568,550,633,979,134,548,752,257,291,550,844,
388,859,410,682,493,281,833,233,361,481,551,207,959,289,940,030,981,516,805,
817,951,349,375,402,311,411,725,737,798,518,072,349,425,039,831,838,046,582,
308,375,823,518,778,075,754,466,084,421,747,473,338,681,385,745,662,389,235,
720,918,303,089,439,623,593,434,065,069,361,419,737,731,527,303,044,584,216,
745,544,883,880,652,521,126,361,357,257,280,232,737,271,962,722,447,249,157,
082,120,955,110,271,712,568,949,113,835,314,411,516,910,115,086,288,339,333,
607,688,554,170,465,636,984,219,364,070,046,050,886,749,497,350,880,948,611,
815,755,664,524,665,071,787,198,228,818,611,218,209,589,046,497,320,886,587,
076,640,729,058,341,922,808,921,161,089,927,563,029,371,316,263,628,074,917,
396,230,751,960,260,113,702,740,863,891,943,336,633,913,564,481,028,804,250,
687,467,392,622,915,133,891,908,351,756,879,936,152,045,639,275,212,615,167,
499,695,540,206,950,211,551,227,837,872,666,820,408,853,170,235,356,430,899,
945,232,323,967,136,150,654,244,876,376,552,988,182,266,892,794,236,656,209,
413,321,783,719,939,382,591,588,872,518,086,919,853,396,387,342,345,887,677,
544,881,986,789,464,976,469,738,254,758,877,893,085,052,989,599,773,764,839,
508,919,709,540,511,989,774,936,287,499,262,853,812,527,048,087,964,556,317,
872,388,840,407,251,718,058,122,846,281,795,466,921,437,557,065,222,002,848,
355,302,361,212,904,229,474,503,086,053,953,581,176,444,650,596,646,825,963,
002,886,283,527,774,402,298,712,641,963,328,810,355,007,154,854,681,858,316,
737,170,266,130,247,542,423,300,003,404,469,359,398,548,745,308,934,263,302,
019,026,426,765,326,428,119,525,665,296,839,577,149,057,050,136,162,748,838,
063,958,751,877,787,818,884,618,346,334,003,316,122,712,136,265,634,685,965,
818,717,243,284,722,959,680,682,896,160,106,149,936,765,191,427,029,780,909,
926,745,599,711,392,851,919,693,492,184,509,076,946,792,134,520,728,108,901,
514,381,140,483,022,552,422,216,432,363,982,752,585,982,532,678,138,824,544,
734,058,384,673,569,695,743,085,185,953,522,712,336,795,755,822,671,891,549,
726,006,217,125,963,937,666,305,013,704,513,371,529,243,048,404,176,015,737,
068,171,015,207,446,943,060,867,289,965,808,911,919,308,240,014,013,884,046,
158,686,908,744,571,047,372,558,226,645,847,826,471,263,947,350,275,534,547,
811,197,072,436,919,683,655,810,902,863,408,790,056,048,458,108,182,704,897,
947,611,402,446,816,913,076,177,249,186,350,696,515,725,531,616,466,598,377,
320,325,289,559,080,880,684,300,316,473,747,458,348,969,347,677,948,029,315,
372,213,577,217,142,847,607,213,718,912,609,272,212,185,564,732,339,652,940,
106,756,536,381,257,103,822,016,034,068,245,335,243,260,509,591,593,283,253,
703,368,659,172,930,233,452,621,806,435,961,347,457,605,327,634,555,635,006,
953,831,499,588,696,413,984,803,962,713,104,378,271,012,084,792,937,408,253,
930,070,573,675,473,041,436,572,485,226,304,896,237,803,023,710,992,967,685,
033,916,217,567,943,345,511,389,224,716,941,894,140,440,709,096,323,179,163,
661,660,828,924,524,289,531,151,831,525,418,027,333,631,953,705,292,341,962,
593,355,721,338,622,646,883,820,664,660,878,842,524,550,046,415,538,217,141,
281,393,566,009,041,036,323,524,059,395,101,669,433,556,544,402,731,895,492,
692,618,271,988,189,487,347,524,997,956,699,568,869,020,251,981,756,406,051,
360,301,050,876,421,775,349,646,142,496,026,878,009,366,646,699,099,011,887,
934,449,492,040,996,044,972,032,183,523,279,651,082,753,871,786,547,168,142,
620,209,047,650,811,924,004,982,470,433,776,401,295,118,028,454,415,855,962,
978,636,944,819,787,539,593,093,637,471,226,907,441,992,260,015,241,653,512,
796,400,343,511,607,550,559,720,854,898,511,527,398,573,960,858,647,161,125,
665,809,442,248,833,101,513,888,653,780,982,195,921,060,385,627,407,233,831,
330,695,468,507,564,385,484,478,086,324,132,677,944,815,939,445,149,149,983,
741,800,076,460,810,939,316,384,687,556,513,667,052,661,110,941,014,913,433,
911,737,416,057,126,445,023,675,906,431,241,582,977,776,572,421,421,697,079,
250,780,219,546,316,401,501,877,087,168,239,236,412,827,516,852,901,969,937,
984,769,212,606,074,724,871,445,523,602,108,850,011,073,242,605,715,090,303,
927,464,111,827,039,391,934,905,854,981,068,565,757,746,639,538,396,014,743,
241,338,701,242,984,816,283,704,385,366,221,237,893,431,904,795,184,437,023,
944,586,675,871,286,636,710,781,377,543,156,172,036,808,018,466,559,611,708,
642,051,164,981,840,828,548,506,560,852,919,823,206,393,898,881,554,898,660,
359,374,974,306,152,470,201,968,508,260,300,025,045,091,492,407,215,826,100,
830,933,538,583,792,618,402,358,623,711,940,778,166,405,029,964,843,846,990,
774,146,205,808,208,277,940,382,204,830,025,410,520,910,726,414,978,359,058,
469,234,803,253,054,499,625,152,216,834,269,110,739,096,628,069,136,539,618,
049,136,415,793,288,050,742,732,781,326,145,447,660,201,969,262,304,970,365,
858,636,591,957,133,290,553,547,628,289,506,718,288,492,237,525,426,948,072,
714,243,335,041,274,716,429,286,882,132,792,688,675,184,309,863,270,299,393,
021,111,230,346,060,905,856,385,458,277,194,432,297,629,560,549,909,333,940,
324,598,444,139,557,678,949,907,838,693,980,410,181,811,656,602,546,860,999,
747,782,625,034,537,813,313,005,583,030,124,963,833,720,343,881,681,781,229,
685,523,902,640,495,175,910,126,754,044,610,323,176,293,251,031,054,659,097,
122,680,060,985,183,268,378,899,517,600,773,672,474,632,667,603,673,134,351,
198,464,246,426,093,640,222,604,427,309,877,021,680,785,324,403,297,613,427,
782,976,675,965,575,453,348,557,032,927,377,883,256,882,408,936,612,414,696,
019,117,907,563,276,632,241,112,569,938,162,994,025,798,613,579,962,012,975,
746,836,739,264,342,673,899,430,495,108,710,888,744,615,206,567,925,258,073,
396,665,371,789,379,879,646,728,804,366,653,204,842,862,417,446,221,727,742,
379,022,583,025,137,843,764,185,420,826,424,585,941,530,418,781,756,545,334,
417,880,973,745,393,834,794,230,680,535,535,076,777,773,785,112,717,592,915,
717,036,358,493,013,552,791,799,951,120,055,824,825,640,463,013,799,036,534,
441,000,880,130,849,609,630,977,329,468,970,120,227,596,453,275,745,276,069,
452,538,748,701,328,984,008,051,473,990,323,252,417,830,305,782,336,998,975,
027,424,450,945,896,976,439,706,763,525,374,173,028,547,518,862,921,399,378,
708,566,158,131,163,465,169,357,476,173,179,478,560,206,244,593,041,050,988,
673,231,509,958,628,582,366,827,280,278,615,782,776,188,699,261,811,336,063,
649,999,247,229,288,564,507,990,410,520,785,618,116,286,148,584,683,616,758,
889,192,258,722,652,965,103,082,703,718,885,679,001,433,108,144,589,884,414,
618,001,772,381,873,965,453,546,484,480,947,723,966,821,134,815,935,834,561,
960,986,288,511,849,478,350,215,141,215,811,213,921,201,838,306,299,828,021,
557,451,284,587,697,104,678,081,606,088,396,445,599,535,484,929,489,208,926,
517,456,399,677,802,288,179,028,633,588,262,535,451,740,583,302,768,914,093,
575,902,134,996,409,724,994,861,114,598,695,667,767,438,485,667,890,083,576,
520,579,614,905,824,192,129,518,943,148,855,141,001,399,382,872,206,989,740,
719,956,796,189,557,370,073,350,988,257,794,040,318,277,227,623,396,039,599,
203,621,279,903,169,380,872,867,589,681,897,950,723,626,921,141,844,497,760,
308,410,258,288,232,701,060,322,007,052,402,120,449,287,163,362,636,968,320,
578,681,043,973,734,828,133,481,161,199,641,601,154,977,233,692,713,993,874,
645,026,160,180,480,711,048,260,267,058,559,033,489,202,110,543,763,855,858,
522,569,300,090,389,240,904,363,360,135,101,338,443,529,451,381,302,931,239,
258,550,589,250,586,468,658,894,990,617,864,309,603,004,707,976,893,618,244,
497,674,034,611,960,277,307,411,874,621,421,501,581,763,656,231,158,614,289,
043,059,976,750,403,468,952,839,303,437,902,397,608,899,746,319,434,171,562,
436,109,374,269,278,491,846,774,423,923,473,284,185,322,556,266,151,580,360,
479,874,526,637,458,897,402,521,623,525,571,117,015,795,055,143,095,148,668,
044,911,427,792,930,611,384,311,288,006,147,450,754,525,038,408,533,197,868,
354,218,237,334,966,593,439,191,921,003,432,173,858,713,589,597,846,844,628,
082,250,578,021,396,054,022,887,894,790,449,374,252,857,203,856,908,528,590,
592,280,608,066,451,659,958,672,393,101,511,669,863,534,893,396,534,304,882,
475,819,982,505,615,645,588,847,103,559,737,113,689,521,854,677,019,100,655,
388,265,465,463,202,474,389,927,377,943,396,161,650,344,918,857,414,955,449,
555,079,330,995,120,072,361,153,519,402,475,016,371,767,103,043,065,081,090,
661,200,807,307,133,511,726,585,788,897,193,404,857,214,857,321,857,803,176,
093,199,758,335,941,939,658,687,050,703,530,187,843,729,963,996,905,430,582,
374,287,483,670,920,511,376,992,580,047,547,917,079,079,645,970,740,242,153,
790,723,577,793,650,934,869,591,517,977,833,053,215,443,223,910,809,043,084,
678,152,295,228,852,784,171,373,599,715,095,568,797,761,471,952,390,974,818,
288,288,793,153,092,753,546,197,075,766,122,000,425,307,739,944,670,113,001,
575,812,846,366,371,324,314,065,429,459,561,340,684,437,365,094,379,828,014,
035,946,567,061,235,064,432,242,440,192,673,156,793,440,387,408,384,705,883,
978,498,891,503,466,925,761,497,738,256,580,193,017,420,272,659,036,647,586,
284,667,799,664,289,490,947,694,992,894,001,785,038,574,752,837,653,259,744,
281,933,541,742,308,235,401,739,657,937,154,057,522,856,125,987,114,759,016,
832,707,070,626,130,933,060,839,992,450,124,704,413,218,596,981,144,038,451,
716,468,504,254,120,730,754,959,733,778,288,523,524,217,608,915,149,978,539,
262,849,051,873,154,513,689,579,988,381,372,024,714,635,968,020,957,821,502,
609,125,740,711,547,636,393,171,143,268,886,201,716,804,253,618,367,501,074,
914,740,412,303,480,369,938,177,793,262,606,945,825,002,354,705,618,462,851,
331,891,638,963,288,613,035,209,210,985,608,076,068,247,761,119,675,045,376,
221,688,482,220,480,441,872,253,464,103,352,764,197,740,406,544,315,502,673,
387,723,182,582,017,922,370,894,138,943,542,908,234,792,149,318,509,278,622,
470,155,543,505,337,891,526,602,304,060,835,356,034,860,935,528,915,932,650,
277,231,071,638,403,904,698,538,348,166,095,948,451,108,211,121,072,235,265,
524,296,577,135,880,506,928,407,867,493,554,098,522,672,765,119,848,369,354,
840,702,031,602,427,204,800,565,347,648,402,636,138,701,020,176,507,803,965,
640,721,098,534,713,205,410,269,371,281,785,648,840,873,078,255,866,483,395,
250,619,499,165,717,375,855,389,867,033,732,824,625,352,068,703,900,898,385,
584,620,612,193,124,850,690,334,311,827,044,629,471,866,472,568,625,509,372,
641,198,912,270,308,767,656,717,654,201,567,917,732,588,697,623,781,541,413,
752,273,669,463,772,995,123,797,928,673,822,006,049,641,606,664,728,956,926,
605,526,296,513,195,862,797,483,989,004,723,904,006,163,597,090,529,850,586,
491,936,062,211,677,030,844,463,223,077,995,970,453,285,732,832,043,410,154,
078,789,114,778,692,139,136,778,516,679,997,170,400,647,817,917,768,453,520,
619,460,031,306,892,840,146,036,266,874,758,798,881,122,790,100,569,159,867,
920,480,907,585,852,536,748,450,766,211,035,476,875,895,405,679,287,926,205,
066,076,994,430,230,288,017,547,422,933,603,749,238,041,977,124,132,242,472,
455,018,721,306,098,688,518,323,671,517,199,970,469,933,406,455,803,466,546,
127,396,648,643,284,231,538,986,579,632,003,216,243,518,054,353,422,103,341,
674,357,309,708,523,522,232,454,570,107,804,724,582,728,127,634,073,973,679,
888,269,597,982,208,723,790,883,026,217,469,587,742,815,377,081,678,479,947,
314,358,654,255,020,019,028,521,487,193,237,543,344,561,554,531,460,568,464,
811,264,024,904,124,830,233,404,469,344,393,325,980,040,384,071,834,892,380,
991,496,390,657,922,121,388,757,624,250,237,022,076,769,158,520,400,070,471,
152,499,291,425,656,767,534,375,864,951,337,764,414,495,772,982,740,046,215,
034,400,873,252,673,330,579,221,893,085,973,054,508,379,099,329,430,126,042,
947,286,544,221,606,231,828,813,993,993,181,426,747,876,678,247,359,850,896,
318,151,088,954,704,228,634,742,951,836,980,193,835,898,690,957,999,968,781,
781,658,582,605,212,928,918,463,183,521,083,392,327,132,712,049,059,258,088,
498,127,744,023,684,849,944,048,271,416,141,192,728,762,016,155,400,377,833,
002,698,032,515,971,848,758,043,250,678,555,958,976,926,214,795,891,870,068,
133,176,232,127,371,353,336,132,331,799,882,046,349,844,712,447,602,316,215,
072,276,866,451,184,830,984,007,280,208,217,724,291,798,314,531,817,990,108,
805,460,754,381,074,492,253,124,400,447,841,819,615,144,418,909,587,617,230,
899,254,003,255,728,219,253,324,401,930,453,585,607,124,909,798,160,240,478,
133,623,507,041,477,299,250,596,777,823,708,715,177,518,593,214,384,927,838,
152,392,557,298,095,095,056,613,516,242,807,452,385,436,934,925,946,040,520,
897,667,446,931,943,978,033,332,946,957,020,868,132,780,799,331,806,255,486,
363,101,588,030,001,764,926,758,435,923,815,226,684,970,031,560,169,929,956,
365,122,278,369,718,525,574,389,835,942,992,276,390,621,143,981,755,848,313,
856,252,754,556,542,070,104,601,584,727,875,510,440,441,079,409,989,286,239,
124,494,209,553,111,404,903,088,611,456,659,971,011,747,614,937,384,227,595,
808,024,200,338,214,450,676,756,724,278,097,202,712,346,328,485,343,346,387,
713,905,070,228,045,611,169,271,445,317,396,113,384,923,407,223,444,655,357,
215,202,741,119,659,491,587,004,066,923,864,432,450,992,513,914,624,889,946,
078,967,018,776,827,556,619,352,426,630,146,948,875,965,108,077,394,421,381,
544,500,422,776,817,332,675,071,101,334,960,075,492,105,987,083,980,140,187,
263,539,699,557,179,504,229,954,850,534,776,260,314,602,486,646,229,329,410,
970,764,300,454,978,360,976,829,359,453,427,096,671,810,112,890,596,469,456,
434,877,533,738,815,972,013,924,479,681,048,761,921,535,684,604,345,258,218,
572,893,062,756,924,514,079,656,912,657,975,706,536,571,037,034,512,172,902,
115,871,453,249,211,187,848,859,313,478,263,533,742,926,665,244,079,688,604,
627,547,031,676,242,592,880,236,245,569,004,966,186,366,599,785,983,567,404,
282,904,213,992,922,121,273,073,786,843,123,193,207,055,176,657,028,605,734,
553,681,517,940,511,428,285,937,830,597,358,091,204,340,674,557,825,202,748,
014,372,702,382,069,484,994,733,254,115,125,444,298,384,268,917,385,882,322,
952,734,019,363,239,286,298,852,261,850,324,861,718,344,605,128,037,339,161,
659,655,278,197,227,448,226,641,663,272,493,012,175,130,040,997,370,716,852,
028,796,035,138,969,356,977,072,183,164,538,556,455,467,562,055,399,463,561,
010,692,313,208,189,622,937,385,746,365,975,045,117,833,155,852,528,312,836,
036,058,078,769,664,929,027,628,913,864,600,983,039,586,153,832,246,962,713,
532,294,660,245,968,154,056,124,674,006,135,271,480,804,604,329,857,181,321,
016,969,054,403,368,262,929,224,888,753,137,884,177,045,245,973,313,103,727,
053,020,859,263,752,198,071,471,252,713,774,424,548,051,434,690,083,329,706,
677,998,619,027,549,250,045,571,541,129,374,106,630,944,839,382,852,666,794,
974,327,014,725,334,547,667,525,410,116,436,171,504,646,328,473,976,641,820,
301,878,703,504,517,766,513,356,089,881,835,706,777,493,805,759,815,668,457,
199,931,849,150,999,287,148,996,869,444,057,144,993,762,800,419,392,039,928,
008,008,127,954,960,211,015,741,955,098,180,774,492,714,304,539,475,519,131,
687,838,760,787,526,339,398,277,356,919,157,671,567,724,853,900,262,103,936,
926,515,507,034,087,381,380,176,094,983,051,304,175,832,415,239,373,301,622,
653,093,680,956,871,034,294,973,668,791,511,096,387,376,729,056,261,904,909,
554,599,962,465,818,958,115,932,820,717,564,206,263,200,478,182,128,308,453,
926,997,999,188,811,288,879,588,851,039,429,534,101,389,413,932,657,126,121,
203,718,214,769,166,843,358,772,513,614,202,463,490,393,927,233,391,000,806,
922,360,496,714,353,081,135,270,610,271,202,481,145,160,716,184,312,530,544,
985,180,691,565,787,958,171,993,086,174,409,609,001,040,293,195,855,714,264,
348,553,109,999,367,809,140,417,758,236,010,905,277,015,984,892,049,527,582,
801,873,232,159,796,759,608,663,545,484,490,732,086,699,939,140,183,220,637,
867,674,081,118,426,738,815,053,449,250,395,878,701,430,979,497,810,719,712,
309,652,830,392,870,601,940,217,569,783,516,223,163,757,293,694,700,132,610,
739,773,261,979,944,987,671,572,004,334,904,038,210,625,637,286,098,979,674,
548,500,556,281,632,573,782,800,231,373,169,631,748,737,032,799,649,906,869,
883,204,398,687,410,991,820,271,315,021,758,998,656,614,926,055,061,444,297,
695,437,672,332,190,895,994,996,638,105,022,127,556,777,100,533,217,413,158,
739,328,719,934,538,964,010,562,654,059,361,503,622,497,877,104,665,594,045,
301,012,088,977,334,451,010,068,778,701,638,569,274,636,364,357,333,818,306,
804,990,680,453,402,399,743,838,161,530,491,547,534,781,825,325,255,491,294,
888,611,039,097,327,654,497,367,713,738,224,659,194,425,411,276,258,491,945,
117,323,302,100,824,300,539,952,903,205,554,606,393,423,538,028,372,119,584,
927,269,020,708,261,874,780,104,262,077,073,240,468,890,272,631,453,334,577,
006,421,823,366,264,561,994,712,193,314,119,783,863,874,347,587,567,551,031,
180,389,643,767,428,900,514,181,116,102,390,197,715,843,539,942,117,531,668,
211,392,709,610,971,394,695,298,989,465,915,301,997,394,241,444,284,772,156,
284,219,837,024,962,581,083,958,900,939,236,385,857,516,134,175,048,287,132,
423,063,399,599,565,498,537,756,937,840,437,405,683,549,065,567,767,129,181,
435,187,689,006,257,763,906,834,952,901,144,463,914,262,921,314,536,180,602,
939,698,283,724,118,098,699,884,029,112,002,937,293,744,493,040,034,055,925,
539,105,934,326,782,997,053,557,916,214,515,463,951,952,384,711,216,160,973,
394,298,549,337,544,150,816,021,224,513,893,915,614,034,800,046,409,789,074,
309,073,928,314,571,216,950,269,211,590,187,785,892,932,515,574,061,879,643,
442,700,531,706,233,294,800,915,178,114,993,372,227,641,243,150,898,192,906,
376,485,585,739,531,463,239,588,486,422,559,758,771,347,460,049,482,215,089,
740,166,888,486,107,450,991,283,237,242,721,151,181,561,109,090,670,587,145,
885,055,535,176,698,047,673,995,960,113,796,440,923,126,451,198,474,463,708,
193,165,362,738,855,983,578,131,774,185,893,884,793,293,690,366,201,472,627,
220,447,191,998,090,473,691,419,008,545,932,851,711,387,288,939,186,125,147,
172,948,857,889,243,284,498,493,593,133,402,387,298,094,561,440,061,328,365,
377,862,271,144,825,821,437,162,416,196,607,835,850,470,706,015,513,592,437,
446,433,546,490,362,209,382,695,475,033,521,801,532,345,741,451,090,501,272,
929,711,315,154,545,794,158,647,161,636,046,266,595,077,815,908,605,865,884,
179,681,873,297,243,399,864,403,388,740,950,951,439,493,466,713,450,764,069,
722,153,385,685,823,051,229,105,473,333,305,578,635,200,932,835,725,195,272,
944,110,226,326,021,550,884,042,219,599,074,430,940,534,480,677,242,788,049,
315,358,501,579,644,869,407,137,313,861,933,242,913,365,771,185,180,199,137,
796,556,775,437,384,514,244,793,838,284,799,876,073,012,481,508,250,709,514,
507,187,454,015,246,470,501,660,656,044,356,209,133,647,531,771,832,860,431,
037,852,961,684,153,907,798,772,343,226,071,015,549,513,215,231,931,127,123,
801,448,169,198,812,926,177,507,315,446,166,316,957,448,193,744,308,178,605,
595,344,184,590,480,073,227,153,497,457,853,179,572,065,693,221,669,541,050,
108,747,262,106,382,524,804,051,312,426,069,657,451,466,320,444,733,588,596,
123,068,718,740,578,805,764,758,389,619,379,225,565,107,863,316,398,478,062,
435,448,523,409,748,329,011,536,812,970,402,282,834,138,180,623,531,349,116,
964,567,028,309,258,557,611,480,545,378,014,281,398,531,223,756,110,293,536,
458,671,056,507,966,296,397,329,480,594,920,274,678,096,081,371,754,693,677,
347,121,691,568,426,841,326,102,215,788,201,366,351,482,189,103,312,586,380,
820,904,812,857,847,225,362,802,213,821,765,241,907,549,422,456,029,909,989,
811,752,551,914,549,295,144,485,468,542,487,163,280,245,800,951,837,809,730,
890,466,427,644,782,299,196,258,907,665,640,813,646,115,500,210,081,631,213,
485,601,115,400,420,749,363,042,340,939,330,155,969,978,842,924,932,628,201,
945,590,304,040,666,089,008,120,150,760,154,299,954,256,850,146,357,225,205,
765,505,271,909,017,715,503,930,114,050,945,577,251,712,109,945,355,741,929,
979,016,138,595,312,913,562,502,263,102,416,550,568,858,850,301,103,733,015,
081,833,118,817,441,318,845,449,374,308,249,114,200,275,081,413,712,667,255,
231,126,527,174,532,957,013,542,347,443,635,972,305,562,490,330,417,668,172,
780,776,095,211,277,863,216,331,584,983,311,208,422,198,136,706,520,077,697,
870,873,490,432,502,250,292,634,238,088,814,854,128,962,150,272,532,089,646,
779,260,205,872,060,643,256,925,607,446,882,750,934,281,683,238,595,587,473,
564,169,088,596,065,552,599,505,476,973,357,686,530,376,324,360,400,068,937,
391,788,623,374,242,764,553,850,381,317,214,621,792,575,466,681,891,968,666,
226,665,948,655,791,179,572,087,705,303,357,229,740,667,645,590,004,950,241,
921,265,103,428,419,075,467,491,258,188,871,236,004,704,310,342,078,928,787,
464,804,903,462,312,877,725,919,042,178,960,371,344,955,907,548,400,635,147,
457,839,634,598,349,402,963,489,819,358,578,004,115,450,305,604,037,555,692,
409,783,357,079,226,578,332,454,124,701,532,239,195,565,099,648,835,076,498,
748,505,858,602,126,810,570,496,963,834,547,119,732,278,456,875,105,241,061,
338,565,817,363,202,705,411,092,025,451,635,224,178,919,476,371,551,831,739,
719,167,775,599,958,967,591,052,523,526,352,576,978,082,489,882,029,783,224,
592,017,760,737,776,912,794,850,633,880,159,603,627,594,657,089,362,389,415,
247,094,597,506,875,465,474,041,827,942,205,570,984,178,896,774,726,022,893,
654,421,657,386,411,529,440,952,820,652,075,841,799,044,059,876,523,296,336,
744,750,197,291,091,731,635,788,088,476,561,468,513,076,138,445,452,265,187,
028,960,982,395,059,679,340,632,277,738,544,009,991,167,551,636,731,492,959,
205,088,145,768,238,409,835,144,093,907,965,667,523,877,595,748,939,566,023,
092,258,780,388,564,149,453,628,111,238,205,515,991,204,243,234,183,388,654,
677,999,759,435,655,929,264,913,986,428,699,238,424,623,759,147,486,350,370,
860,180,410,056,381,778,237,957,223,559,394,720,527,912,939,151,291,076,555,
964,837,783,688,597,968,105,335,848,748,711,703,290,695,656,976,635,619,683,
211,809,668,340,845,967,421,733,358,784,906,339,654,796,676,579,194,793,008,
187,517,180,470,619,288,712,081,270,562,131,092,877,653,360,739,272,159,649,
625,941,029,389,010,162,992,425,168,416,157,066,786,334,465,632,461,526,866,
488,280,452,798,927,600,251,181,569,587,247,537,817,474,278,001,915,855,357,
783,805,241,792,175,780,365,254,712,215,471,751,058,758,072,243,269,986,075,
111,650,082,357,483,138,348,363,927,635,252,220,365,465,870,645,540,930,115,
489,122,745,987,807,145,162,450,884,511,333,874,535,563,455,071,123,620,217,
794,109,051,956,931,849,814,467,269,866,045,198,157,380,534,301,063,869,261,
143,200,855,740,364,052,319,157,753,628,246,355,869,636,480,483,132,172,708,
976,105,564,788,672,056,009,053,676,240,558,319,589,113,852,851,768,911,222,
012,954,890,206,453,125,541,085,341,570,220,990,655,145,590,629,501,808,928,
857,180,848,182,624,375,359,570,151,006,015,156,797,665,937,548,933,137,279,
932,699,296,968,890,740,624,986,900,502,807,324,921,457,276,069,212,923,779,
194,542,988,127,494,533,467,547,162,496,230,722,689,290,744,530,227,480,818,
963,046,876,748,863,742,119,546,903,223,490,386,530,699,374,113,841,391,085,
211,818,550,008,962,167,402,145,075,898,171,550,362,079,746,987,124,987,298,
931,042,693,452,052,539,070,288,833,030,275,904,584,335,011,337,737,587,569,
906,595,462,165,379,060,822,099,010,310,326,231,626,559,655,812,034,712,686,
530,968,278,087,832,518,037,444,162,411,902,028,887,910,528,089,246,450,091,
062,362,562,713,848,669,488,116,473,062,243,884,652,507,608,793,778,942,687,
180,047,343,423,529,325,986,604,616,680,196,519,803,834,790,097,757,752,071,
524,394,015,689,879,757,933,811,799,171,293,826,411,584,463,596,850,757,453,
050,274,690,001,809,733,982,026,143,505,732,218,085,854,125,032,900,069,373,
029,556,057,112,747,820,252,712,257,305,752,737,502,759,818,346,094,000,047,
595,070,808,466,512,967,923,608,529,649,630,110,263,476,243,625,396,521,582,
781,203,929,028,463,772,885,230,329,407,896,092,348,906,489,370,196,010,542,
467,001,317,201,122,808,513,566,761,107,856,704,011,859,238,531,732,736,494,
483,195,807,670,794,662,083,771,203,654,520,642,869,074,288,485,427,525,028,
052,162,222,813,832,847,390,950,335,698,273,280,935,297,498,724,832,150,165,
773,010,775,152,642,966,446,723,716,657,659,550,148,437,634,240,952,432,527,
957,661,009,443,123,446,448,321,601,253,989,001,206,432,725,653,250,213,750,
378,663,797,873,304,821,597,681,665,530,702,166,324,970,433,020,879,126,550,
012,763,118,193,561,790,797,518,654,206,404,715,578,820,043,549,011,476,648,
711,889,294,731,833,516,622,682,900,193,776,201,641,477,387,376,636,699,626,
530,667,847,970,051,086,114,356,945,421,831,128,052,562,231,406,507,064,188,
569,398,901,602,094,653,936,600,632,779,414,593,681,218,758,179,394,868,743,
807,835,158,422,051,604,749,327,539,417,127,302,754,396,895,741,094,305,083,
727,150,350,509,065,581,649,348,997,690,342,434,653,611,933,440,340,307,073,
409,351,391,537,179,265,285,385,747,092,154,064,490,007,910,735,670,053,399,
189,914,100,297,262,167,182,330,834,305,071,679,826,059,283,057,600,565,404,
832,047,144,988,336,269,749,910,838,088,496,931,404,080,223,427,242,111,704,
747,135,687,005,681,827,638,529,569,999,986,483,414,843,598,808,296,218,467,
951,222,337,265,262,503,756,541,869,721,277,055,182,358,317,816,358,061,358,
909,830,352,176,008,434,259,155,346,405,887,906,207,911,097,939,054,871,823,
630,249,148,384,355,457,523,949,823,534,788,244,100,513,372,595,258,315,186,
848,507,705,043,428,239,685,467,224,275,425,208,986,770,346,453,938,912,931,
536,368,528,740,282,869,527,057,294,025,915,487,203,988,965,550,899,025,147,
136,214,733,003,564,277,979,885,379,763,742,393,774,893,560,228,888,616,359,
637,291,094,167,032,237,713,006,633,423,949,424,974,645,561,901,972,106,227,
136,874,230,717,624,407,411,616,733,711,300,857,916,381,761,538,120,304,661,
626,809,152,654,925,001,488,101,568,667,171,262,541,520,102,198,973,866,267,
211,543,347,935,114,472,506,141,153,689,248,489,036,921,196,393,382,854,238,
523,493,993,265,661,157,084,963,450,343,945,996,914,760,182,404,465,831,291,
933,428,084,840,064,259,207,230,837,733,958,385,859,469,555,502,479,786,049,
956,891,033,905,011,204,705,289,842,373,884,218,105,071,135,533,322,442,199,
480,786,636,978,598,557,860,597,391,728,794,070,724,136,009,499,653,718,958,
072,046,633,625,456,660,666,924,555,506,818,320,224,074,808,309,749,906,053,
047,535,663,497,425,327,422,069,886,400,611,102,475,025,929,767,774,917,709,
036,286,206,884,534,482,090,229,928,234,942,046,835,561,386,748,573,622,217,
231,922,595,163,703,169,556,828,338,639,272,971,183,826,153,404,038,192,464,
436,283,542,665,045,891,346,051,127,591,389,984,011,613,812,326,702,013,084,
044,471,118,490,525,069,846,635,892,173,641,554,125,854,246,265,530,158,554,
844,985,125,623,380,428,546,198,503,358,430,789,363,759,015,709,988,727,980,
763,998,536,901,139,574,000,575,564,457,848,875,136,486,512,349,303,671,018,
142,678,945,007,457,340,395,207,994,482,635,669,550,007,775,873,172,859,449,
518,646,744,961,216,002,815,441,564,691,046,867,471,707,876,035,741,391,536,
815,576,935,502,717,284,991,598,834,090,960,109,225,777,853,932,515,643,058,
556,631,440,062,242,960,261,206,640,250,499,621,891,845,783,457,755,113,498,
478,595,907,693,131,628,567,255,608,213,284,693,435,037,404,103,206,029,421,
499,658,782,246,669,903,734,893,303,991,214,713,898,165,305,955,922,154,165,
853,650,537,666,843,301,661,056,868,736,117,645,369,717,417,477,464,542,188,
559,805,517,437,862,390,247,513,999,998,399,909,860,763,050,527,470,086,075,
601,726,628,715,902,377,646,069,955,113,201,879,596,384,574,254,389,508,571,
819,629,333,632,074,855,892,965,669,378,655,039,422,801,880,206,973,393,621,
516,196,104,182,289,535,309,648,781,870,087,224,329,156,201,076,621,976,292,
989,921,367,340,162,657,832,519,038,845,570,168,513,153,312,376,397,132,297,
008,127,066,686,464,130,650,818,925,894,503,200,688,679,553,549,977,477,527,
310,843,703,969,024,866,350,635,108,726,545,699,580,690,239,469,425,968,158,
207,440,994,930,577,649,660,829,820,189,921,204,655,720,631,865,880,367,382,
622,777,942,171,497,509,543,144,559,361,891,176,712,680,544,561,565,586,297,
531,442,776,500,866,032,267,053,297,735,033,204,333,386,550,194,710,767,994,
445,904,167,891,005,650,185,669,380,163,484,768,315,608,603,596,024,578,994,
773,087,691,762,708,495,559,565,914,978,196,635,900,022,755,976,964,669,584,
056,896,865,215,712,296,803,563,585,385,664,342,737,526,830,985,793,471,245,
868,513,614,717,391,177,553,699,370,011,173,197,265,202,248,364,896,864,073,
853,498,506,799,562,065,815,805,076,930,466,225,572,065,310,113,459,798,244,
459,324,708,445,569,848,064,622,730,684,539,831,867,723,464,917,297,056,711,
862,191,014,242,662,245,990,387,853,171,070,095,590,810,192,186,737,614,855,
440,155,729,567,927,745,366,499,592,292,253,811,922,688,427,186,137,021,529,
746,937,732,800,659,855,773,383,401,415,564,173,505,301,903,068,723,285,313,
757,816,552,555,373,206,333,243,240,966,670,517,672,583,586,511,131,523,554,
788,053,115,559,538,728,307,325,058,566,066,855,761,792,272,142,946,425,869,
023,440,726,067,484,421,876,495,739,538,281,352,022,300,176,689,019,575,005,
309,938,533,814,771,619,549,544,330,467,319,283,229,559,455,982,299,215,812,
944,938,749,366,418,266,280,733,647,522,737,156,881,647,505,627,103,701,611,
262,610,868,445,885,215,949,639,424,098,192,763,496,287,103,900,462,283,954,
959,590,331,317,886,460,639,381,662,161,142,788,446,118,921,016,199,117,556,
780,217,511,743,924,257,635,407,343,347,370,062,861,064,767,406,177,833,372,
262,301,106,936,643,872,689,242,250,844,106,817,187,800,318,206,588,718,145,
593,206,097,450,706,052,162,331,899,412,914,814,250,221,962,354,194,636,295,
269,518,940,590,896,647,088,008,659,143,612,896,693,028,848,402,725,263,967,
956,935,063,976,323,327,701,856,007,061,850,038,712,514,088,453,633,853,903,
335,943,969,637,463,379,145,648,041,090,988,579,998,231,642,948,624,420,466,
034,191,706,574,348,371,958,005,650,702,198,037,070,615,177,525,475,231,890,
123,583,371,147,472,834,887,705,714,854,643,533,481,930,232,579,680,583,007,
247,541,899,574,524,772,543,644,163,299,063,054,826,355,981,855,124,068,815,
861,555,130,325,414,732,669,391,370,711,783,405,893,173,945,146,795,421,338,
439,540,255,867,546,359,821,257,687,422,539,346,482,916,947,231,588,109,392,
851,952,953,927,652,844,112,091,861,814,586,938,190,131,126,204,950,640,589,
771,161,450,418,789,165,632,692,543,602,804,709,190,291,456,684,067,262,956,
705,125,197,638,803,788,982,802,952,994,308,193,262,219,576,681,880,016,687,
411,552,145,939,099,696,953,987,452,195,865,099,305,188,306,328,575,215,589,
136,107,591,727,315,133,345,759,957,196,872,845,765,710,107,853,180,025,022,
864,130,779,897,417,716,954,437,322,483,435,835,140,594,912,638,481,225,892,
069,610,785,913,065,983,864,658,834,027,496,694,191,165,626,857,454,750,037,
056,630,777,175,746,739,727,372,190,121,987,395,265,811,489,050,156,550,133,
352,659,298,989,743,800,631,120,138,702,947,913,582,369,977,300,456,432,148,
589,924,496,185,607,827,529,458,926,461,185,008,077,393,097,600,364,790,204,
621,729,085,936,471,249,302,698,537,920,589,677,816,444,138,971,071,436,817,
926,685,035,596,763,205,973,435,008,978,541,830,231,892,843,822,041,428,413,
863,795,857,331,098,268,466,667,258,814,861,566,485,952,627,995,755,665,126,
362,613,922,904,379,868,184,104,919,047,527,389,403,782,228,016,375,324,493,
707,102,999,657,024,827,187,208,737,946,678,858,721,330,701,181,961,419,640,
271,928,452,131,416,557,983,145,132,359,481,431,535,453,440,617,542,443,796,
083,738,037,511,122,126,802,189,624,742,819,986,817,035,599,519,092,702,862,
385,613,878,488,006,941,086,617,942,598,081,702,903,799,364,005,986,094,976,
466,733,515,699,475,668,872,379,076,339,580,288,677,266,723,834,846,680,518,
705,661,458,246,296,400,860,405,004,460,354,167,800,760,687,475,331,633,171,
560,332,143,028,031,740,957,011,670,771,018,294,596,644,070,709,989,494,686,
948,452,949,999,565,815,296,002,945,913,587,059,918,921,435,397,372,727,783,
549,107,521,477,126,885,007,439,796,248,479,127,807,705,332,601,012,524,804,
556,351,385,937,334,668,774,425,181,187,803,689,335,817,916,564,140,559,325,
865,990,697,801,643,008,565,558,144,382,553,185,989,326,597,457,529,169,060,
740,007,426,567,832,318,314,826,409,325,627,962,799,820,880,339,152,732,806,
797,865,209,622,223,022,458,851,817,648,691,904,968,207,151,390,313,559,206,
470,667,456,667,861,119,217,856,894,859,743,938,099,204,960,723,875,646,129,
163,623,780,457,882,455,449,333,657,444,650,264,363,005,148,953,415,950,158,
783,278,364,084,664,181,954,966,100,915,043,940,072,642,342,107,021,513,142,
348,162,487,011,772,931,027,033,083,862,884,355,139,891,667,190,170,794,837,
737,681,739,704,630,421,264,566,736,042,425,244,386,599,805,978,856,786,041,
610,189,022,105,584,024,470,527,137,646,634,209,812,970,374,851,220,142,279,
924,131,998,852,653,102,629,320,028,288,708,490,150,186,822,171,775,533,265,
460,157,712,404,065,952,816,439,422,085,041,917,257,847,368,308,417,751,655,
483,249,753,600,661,480,162,790,898,826,883,703,409,767,001,606,874,993,346,
115,208,737,464,360,702,087,937,086,567,120,445,567,373,073,479,101,332,262,
249,801,857,139,320,777,787,315,628,917,350,677,284,755,897,558,769,483,686,
203,318,757,299,850,213,904,239,347,457,700,312,840,670,469,810,395,694,773,
559,929,353,068,905,182,312,369,122,099,066,938,764,373,051,457,730,340,739,
407,330,121,129,354,865,080,251,305,203,179,636,565,356,227,717,937,225,970,
482,180,701,633,103,822,887,831,041,292,944,907,426,102,065,149,688,215,269,
013,329,070,966,578,111,625,108,022,286,579,746,505,596,790,082,563,649,839,
234,524,631,314,433,020,775,800,600,127,771,664,075,043,587,517,996,770,470,
701,910,367,591,395,078,000,366,388,973,831,970,479,478,481,309,111,418,187,
297,862,879,068,258,825,280,315,316,115,309,552,397,134,994,791,659,534,585,
571,810,992,405,502,604,766,861,980,599,092,023,298,284,705,421,409,420,657,
141,243,339,996,478,631,568,081,222,725,522,550,225,301,339,985,033,375,743,
110,707,594,055,602,474,097,858,270,601,692,426,604,500,518,474,087,034,188,
341,762,791,631,273,213,766,474,844,304,826,223,952,759,357,381,871,097,074,
892,069,120,582,973,052,544,762,918,343,116,027,853,898,696,523,963,854,747,
484,774,570,119,493,497,015,509,148,518,181,247,919,882,189,554,432,232,892,
142,281,084,463,384,700,580,713,543,098,576,270,496,692,571,126,874,741,473,
681,728,603,176,150,331,142,255,744,020,354,407,721,510,456,803,478,462,071,
670,432,756,238,325,738,619,969,767,003,149,485,046,546,114,963,030,051,380,
421,591,687,576,988,989,090,184,197,594,017,286,789,010,115,562,930,681,355,
655,484,158,627,571,912,432,710,619,815,190,238,835,786,684,136,557,519,105,
604,723,921,181,870,037,436,546,808,220,562,618,516,913,352,898,402,953,369,
686,264,663,159,429,631,992,260,532,061,358,312,070,153,113,130,353,728,447,
889,963,092,908,134,793,516,050,746,296,488,002,802,342,264,319,328,877,234,
519,217,575,353,736,379,944,614,178,277,405,781,252,216,236,523,155,471,856,
371,202,339,394,635,391,399,606,449,466,332,651,416,526,655,815,895,371,582,
355,823,131,045,051,153,584,324,923,207,259,139,687,171,921,264,469,800,253,
894,356,236,550,758,527,967,126,875,511,122,237,745,435,968,241,587,320,819,
296,349,480,193,746,562,505,952,748,808,124,590,450,201,507,968,820,323,755,
571,925,077,168,526,548,428,695,295,890,780,219,654,683,967,739,896,633,703,
581,731,786,390,387,953,599,764,474,363,532,889,376,253,306,988,869,937,326,
767,228,354,570,928,524,509,856,736,263,637,660,706,662,160,494,877,637,403,
037,527,065,881,774,993,481,992,058,821,516,583,109,563,479,203,838,701,564,
827,992,526,739,455,249,561,337,213,190,548,674,714,782,907,158,718,687,828,
200,800,953,446,687,883,802,732,600,710,069,739,370,492,444,173,274,707,380,
630,646,202,582,487,593,484,475,863,614,986,198,535,647,123,666,689,500,675,
452,512,623,359,704,115,000,691,400,360,272,034,286,765,655,251,346,280,517,
221,735,794,338,027,655,866,419,082,761,820,570,498,982,633,378,338,960,189,
228,063,436,025,806,717,156,940,771,069,250,151,663,192,508,058,450,365,897,
550,120,327,089,712,516,234,105,948,875,805,821,111,442,614,515,628,864,967,
458,811,737,966,988,362,897,215,520,269,032,461,970,236,227,310,551,839,028,
241,316,255,238,851,492,609,239,982,696,325,380,019,947,919,321,426,836,205,
142,382,465,029,563,431,317,351,060,697,435,330,056,868,687,132,681,530,438,
509,717,135,270,548,386,372,306,682,992,148,226,947,343,734,278,811,805,233,
833,182,682,466,789,026,872,799,154,301,664,280,533,630,105,981,431,898,334,
788,094,029,860,800,531,862,157,900,317,150,783,743,201,069,989,567,319,464,
501,534,440,419,761,821,960,388,748,566,887,068,184,676,524,562,665,956,241,
138,490,721,449,018,667,123,017,189,562,815,217,545,918,005,737,298,255,626,
664,059,373,226,271,116,395,306,437,062,060,801,304,230,499,231,442,872,788,
599,593,286,619,372,426,578,330,184,038,446,533,118,805,529,273,740,304,619,
087,290,518,025,221,936,338,160,544,069,362,137,475,629,244,051,137,011,101,
825,317,595,937,765,300,458,402,827,710,120,867,217,031,271,491,946,626,463,
143,256,658,995,450,231,271,446,744,059,760,900,839,441,660,360,318,338,465,
531,027,333,829,089,159,288,001,094,429,181,521,374,830,046,257,294,590,421,
916,390,226,254,027,908,574,468,926,135,271,228,194,212,759,333,878,190,292,
758,202,278,620,748,918,070,639,901,392,806,267,515,887,305,991,878,036,239,
349,871,754,412,003,508,741,734,439,679,636,986,039,782,073,847,990,925,107,
681,217,994,919,214,242,091,671,198,324,377,277,206,874,887,387,409,642,036,
167,861,312,995,674,914,200,640,566,970,298,319,692,762,400,281,861,526,427,
610,307,305,352,970,240,238,911,560,550,509,905,127,572,839,146,127,253,692,
082,491,886,496,681,075,692,339,153,934,510,612,867,865,536,968,616,350,754,
120,952,414,069,876,673,579,940,993,206,727,861,068,433,142,508,174,784,948,
348,288,845,730,413,457,600,004,178,318,774,808,636,594,518,979,735,600,314,
530,707,495,227,367,605,135,686,960,248,744,299,286,993,953,190,387,667,465,
606,904,369,251,064,736,888,847,573,922,409,922,738,739,324,933,135,570,363,
704,247,328,263,825,587,080,832,301,504,627,864,287,524,562,868,751,938,428,
012,933,689,334,857,842,139,340,367,080,081,087,173,091,711,946,896,698,773,
440,219,659,205,562,404,546,616,284,866,929,089,548,904,990,057,543,850,283,
239,201,433,547,671,586,978,510,273,011,543,601,842,324,188,279,467,719,482,
704,301,583,995,750,738,688,782,241,492,615,681,842,212,938,555,748,603,109,
109,894,267,424,507,073,923,156,882,094,968,487,826,250,763,136,497,746,363,
396,885,690,636,716,550,886,020,210,471,170,788,665,682,367,731,432,663,614,
341,528,648,682,056,473,205,301,025,098,228,242,761,426,253,762,808,522,416,
132,327,849,520,888,499,632,527,174,272,125,401,165,680,431,863,012,616,132,
876,981,391,804,548,000,140,064,923,495,284,837,908,868,247,308,892,605,754,
784,776,950,841,335,389,298,343,711,852,254,542,132,301,651,721,359,586,012,
121,144,374,501,476,610,143,145,256,229,526,385,748,081,407,484,866,535,223,
557,071,499,552,874,234,651,698,258,013,867,324,527,201,106,881,773,296,468,
922,890,176,811,583,653,729,533,987,255,798,288,691,354,922,013,606,942,668,
564,997,913,854,500,738,932,481,194,447,766,549,250,975,357,107,255,414,898,
554,089,622,832,783,024,570,867,083,125,619,130,797,821,015,794,011,300,669,
588,681,592,522,445,512,705,125,613,316,035,276,137,478,663,727,519,430,808,
321,662,057,602,834,655,271,627,634,487,420,049,138,340,471,365,156,328,326,
203,402,016,369,498,640,572,107,365,068,230,606,930,051,709,112,977,385,193,
038,936,606,333,542,316,221,956,966,695,504,831,399,586,878,813,273,799,872,
969,185,096,520,283,831,375,874,328,568,267,733,430,335,699,625,976,020,583,
285,687,578,457,552,278,703,489,103,809,341,787,587,410,549,105,035,867,765,
866,004,460,479,222,740,039,345,379,266,243,008,479,450,182,187,374,424,164,
840,543,884,923,712,929,059,957,893,061,597,268,602,536,044,577,490,565,010,
608,270,170,311,751,615,122,731,959,938,269,174,115,567,481,917,522,114,005,
931,312,630,895,978,180,741,028,674,419,553,396,997,096,933,671,101,154,506,
806,789,853,152,909,956,849,921,233,410,258,688,743,958,055,225,946,411,690,
992,991,815,062,761,586,498,999,315,371,147,638,315,448,702,342,152,386,363,
105,624,600,830,152,524,626,275,914,763,660,853,213,865,823,950,766,959,241,
029,569,776,699,825,727,535,961,209,059,465,482,147,874,918,351,315,918,618,
178,490,313,356,334,597,599,346,088,446,170,516,620,946,116,452,617,500,399,
039,834,358,768,546,250,357,106,731,026,038,725,734,534,444,919,476,676,397,
421,930,514,650,219,438,062,545,537,831,165,687,608,005,031,913,464,577,288,
593,096,215,632,553,028,852,031,758,058,151,293,846,097,929,134,742,375,363,
802,104,834,980,488,886,897,412,786,835,808,333,067,413,586,173,025,606,919,
135,984,846,485,565,848,296,049,121,270,550,961,706,791,628,828,672,307,367,
950,249,875,147,091,341,564,936,744,732,842,877,128,323,272,015,465,953,835,
114,112,800,460,438,376,470,331,220,893,784,058,890,136,969,095,494,649,061,
266,841,136,277,060,051,441,238,596,242,784,105,694,510,246,717,702,566,714,
309,847,177,431,182,365,905,653,916,306,008,404,034,247,505,825,094,014,467,
035,910,859,133,654,474,686,561,940,034,908,668,708,194,451,336,573,905,596,
677,376,083,273,029,786,428,909,149,310,907,239,114,064,525,019,865,719,645,
292,433,786,761,904,671,547,765,526,114,155,421,634,356,620,130,407,140,486,
298,315,824,594,352,382,715,406,750,615,680,198,930,559,329,314,030,844,618,
300,658,677,855,008,935,227,670,200,501,188,186,042,384,730,244,683,159,314,
886,392,084,407,505,894,880,416,149,205,708,296,242,158,521,829,777,749,819,
741,694,215,356,969,731,690,763,640,129,240,475,511,093,475,030,006,535,247,
526,557,556,241,235,236,598,561,910,121,317,682,441,415,633,306,904,015,492,
306,745,435,693,157,633,125,388,730,204,946,072,522,463,764,467,250,870,944,
569,537,490,641,900,735,280,249,645,245,213,550,961,914,978,164,616,133,062,
342,960,558,695,197,305,755,564,055,598,802,617,459,025,366,806,525,074,318,
997,954,557,977,759,377,611,640,263,100,188,428,768,591,069,441,337,802,974,
972,964,047,013,197,464,269,425,086,882,307,046,532,773,507,484,069,231,907,
718,715,774,725,677,731,658,264,434,348,685,683,346,881,630,870,601,426,258,
724,379,983,205,337,456,509,753,834,509,324,357,472,803,327,460,669,692,284,
457,365,572,487,013,607,803,091,571,404,164,333,807,259,600,006,842,263,177,
394,430,314,090,363,184,695,619,555,125,410,333,955,225,896,942,054,583,733,
718,774,707,490,892,680,097,276,627,105,051,031,325,935,719,071,803,053,229,
426,257,914,901,660,751,662,653,916,871,397,952,851,522,661,171,621,990,815,
408,083,733,022,664,517,283,056,508,370,358,317,193,609,287,899,483,548,375,
781,615,961,073,143,271,457,136,758,496,941,252,437,617,089,340,100,035,792,
503,179,629,249,186,331,365,699,491,621,080,813,538,508,454,695,921,729,866,
751,718,743,051,622,165,584,007,840,337,287,371,314,571,677,025,453,965,730,
467,556,763,025,318,615,968,115,042,048,183,228,605,359,933,702,152,772,531,
953,847,224,910,327,019,916,449,124,823,855,633,751,568,135,895,432,223,479,
109,196,195,420,234,334,184,612,562,705,570,722,236,968,357,734,154,193,192,
507,050,075,872,481,351,645,174,278,002,313,649,513,858,022,583,911,445,939,
486,263,510,180,454,010,741,084,225,307,575,326,008,172,712,032,205,711,150,
738,257,030,672,846,856,524,919,278,041,756,940,398,831,804,146,756,818,002,
955,673,277,678,325,783,517,119,605,473,337,463,504,511,620,457,305,332,183,
207,007,369,160,402,497,785,104,167,510,593,765,989,755,649,362,303,520,598,
763,960,168,117,581,664,728,789,237,045,844,404,540,803,526,222,860,452,323,
756,251,349,725,062,096,643,508,530,826,716,778,445,236,931,052,964,358,577,
212,793,374,941,849,336,551,911,948,865,281,669,959,437,553,606,611,090,746,
401,115,641,996,823,596,772,286,257,178,349,998,348,519,981,910,031,086,482,
021,033,255,506,684,015,002,765,604,516,782,545,226,530,925,764,736,923,912,
055,426,944,910,313,359,724,128,016,387,786,590,184,696,829,612,679,776,527,
690,451,889,670,621,365,815,952,657,956,137,399,807,181,038,469,665,952,460,
460,231,212,760,866,198,559,094,269,077,197,683,376,850,571,922,195,393,245,
639,055,763,772,842,862,580,835,794,427,983,729,152,111,308,775,634,347,658,
022,808,773,270,065,596,469,272,335,787,316,726,596,126,542,046,566,985,857,
935,586,737,193,275,067,473,194,141,041,968,197,395,189,992,141,858,188,420,
982,000,792,804,329,366,396,778,325,737,183,795,950,555,340,075,865,395,479,
706,628,899,427,167,663,404,061,526,134,424,161,475,590,440,316,279,051,644,
426,778,921,861,867,364,358,046,168,986,268,640,875,468,688,726,833,844,235,
756,701,777,011,630,368,648,733,122,222,059,142,081,825,226,492,457,075,054,
869,667,013,065,206,793,565,644,595,443,227,369,843,633,575,194,406,185,175,
092,044,837,223,113,520,014,664,143,374,164,535,860,997,410,556,573,481,940,
052,941,638,859,854,926,117,462,769,970,042,406,121,653,102,071,899,073,398,
550,581,345,450,026,898,663,353,064,317,498,568,680,630,031,822,097,939,604,
493,210,371,574,948,101,814,642,569,479,616,872,747,454,430,562,361,083,058,
492,248,078,625,671,747,012,644,625,100,781,559,485,396,660,724,664,332,055,
242,441,117,906,413,184,700,222,847,233,309,091,883,724,586,248,410,645,281,
020,984,990,623,109,785,262,747,715,389,270,888,807,467,463,713,614,303,552,
802,611,992,305,384,077,573,608,387,405,572,052,305,603,365,327,864,350,536,
088,964,173,381,437,919,324,776,029,734,035,118,509,463,377,612,877,095,072,
254,122,330,186,824,009,963,322,375,160,219,171,667,018,862,361,648,176,206,
182,053,424,440,604,845,793,120,239,364,024,944,275,304,291,582,269,099,549,
665,637,835,530,714,958,125,340,098,266,932,795,866,858,697,616,126,350,141,
733,764,435,917,418,454,633,525,629,802,093,173,102,531,653,402,237,531,415,
626,166,119,618,646,614,792,114,765,257,999,084,803,800,519,052,262,626,862,
304,783,119,043,387,543,223,635,669,390,010,517,771,878,084,893,590,250,681,
750,098,761,860,708,156,138,483,336,780,114,510,138,083,640,816,762,675,700,
491,582,442,133,749,069,930,509,885,917,881,788,988,446,029,908,350,515,065,
702,180,828,139,767,617,934,858,063,077,747,389,828,876,526,188,168,306,501,
975,015,100,786,587,461,734,406,210,862,642,241,755,129,963,346,347,674,365,
854,480,568,607,263,545,233,205,715,391,142,749,259,066,803,333,924,937,967,
200,589,035,281,734,627,707,289,063,548,684,108,062,273,232,487,076,666,084,
478,632,133,665,529,540,093,071,743,534,283,299,893,940,943,677,231,289,672,
994,040,253,374,236,155,454,432,902,945,553,595,878,999,036,155,513,036,057,
063,808,694,206,905,569,031,061,498,815,178,585,072,218,178,374,862,394,210,
981,701,008,807,647,030,699,100,930,044,129,333,997,442,226,402,031,026,182,
979,617,076,004,702,755,932,632,833,141,581,339,831,420,791,129,711,333,646,
329,992,335,846,429,299,934,377,536,573,578,457,847,740,308,609,826,524,105,
395,626,299,826,402,496,774,877,099,314,759,674,623,232,361,848,155,931,051,
901,033,228,667,143,669,805,609,576,411,370,483,370,469,628,813,353,716,673,
545,045,312,433,304,107,237,743,893,051,444,726,980,945,657,309,234,442,391,
708,794,393,987,283,335,834,347,931,352,510,528,584,155,345,287,118,819,745,
045,065,681,724,352,598,353,910,805,429,269,313,325,750,298,074,810,102,645,
648,939,919,219,032,115,563,303,929,228,982,808,148,928,635,541,349,948,526,
340,754,130,301,487,018,158,599,444,309,594,545,501,279,360,901,877,054,120,
710,802,129,397,085,756,009,756,733,784,922,559,467,825,653,118,706,364,021,
070,395,067,772,065,204,305,218,665,759,767,478,163,401,079,587,694,813,275,
931,062,477,373,284,290,810,128,567,272,272,508,048,109,241,247,730,275,688,
365,644,321,570,204,977,621,650,330,354,918,507,270,457,577,116,063,777,711,
384,293,432,640,306,659,136,383,278,599,788,537,044,555,401,825,668,747,811,
531,137,303,447,451,065,134,822,806,970,831,091,087,901,617,104,563,387,614,
499,078,965,864,986,664,598,995,550,347,134,828,411,337,396,232,167,517,940,
748,763,212,833,015,585,292,921,670,420,002,088,798,687,551,746,092,389,519,
455,961,739,668,165,158,934,555,760,506,140,901,919,318,302,877,114,228,605,
333,587,547,332,467,331,856,490,486,498,578,650,904,768,463,774,064,904,768,
643,509,452,219,859,052,245,658,820,320,424,030,003,447,460,376,887,045,170,
948,335,785,684,924,649,141,353,076,811,424,646,530,626,629,178,091,037,407,
591,360,553,737,954,276,096,053,058,225,674,041,950,984,754,885,837,657,867,
126,107,270,223,774,226,008,989,431,464,387,864,597,169,841,915,490,432,826,
804,203,821,697,910,793,641,660,427,616,232,222,053,003,988,025,015,243,648,
339,589,102,125,630,077,641,851,374,120,977,646,212,197,184,540,447,529,480,
178,834,342,350,916,109,255,025,626,587,770,926,497,943,013,845,117,635,680,
167,225,423,649,172,697,781,149,021,647,497,208,879,408,123,111,045,506,319,
488,363,588,663,374,814,090,310,210,243,907,498,331,466,963,250,744,950,125,
963,182,168,189,625,362,582,144,379,747,874,946,211,161,778,432,468,245,641,
010,966,217,324,955,356,740,542,938,674,306,953,620,459,934,316,189,285,558,
527,470,380,686,419,676,601,862,091,097,266,608,521,094,145,493,712,864,081,
273,510,608,221,266,385,301,927,843,965,687,045,760,448,019,717,347,892,786,
190,194,780,663,228,774,216,827,757,881,595,180,931,873,383,472,750,256,138,
648,022,847,042,567,632,953,737,826,869,957,579,521,969,432,895,397,961,479,
896,981,982,506,467,302,472,515,612,984,668,304,593,998,211,262,879,269,611,
217,663,301,692,453,241,491,790,366,937,897,503,905,258,717,152,984,277,125,
451,618,613,393,186,560,061,355,920,843,845,384,580,843,079,205,626,437,397,
634,740,913,934,779,193,457,255,827,234,073,560,528,889,926,379,963,437,325,
111,080,255,123,721,289,078,717,266,433,372,329,078,514,440,754,497,640,207,
365,751,018,168,513,156,644,576,638,601,944,384,050,362,600,573,975,067,519,
049,128,127,933,919,994,059,988,523,025,179,147,947,416,368,315,146,700,900,
309,564,415,495,548,930,299,840,067,999,419,599,311,755,215,918,979,052,820,
010,835,003,964,470,530,812,873,266,223,957,202,247,596,002,631,061,528,627,
798,616,043,019,856,478,557,968,163,856,913,679,353,877,461,836,227,263,006,
371,958,327,451,590,216,927,636,279,552,970,253,280,902,190,522,295,669,515,
623,052,957,613,440,346,269,597,421,616,539,853,149,760,849,308,579,676,009,
551,254,367,809,954,526,203,932,112,742,366,248,904,325,360,734,264,407,947,
175,291,201,340,536,221,981,045,140,777,476,138,049,391,898,675,911,843,723,
592,436,235,883,355,844,437,578,366,933,382,516,455,585,993,880,731,200,546,
490,190,150,948,148,689,783,399,782,074,689,093,637,416,078,530,837,231,590,
087,135,593,996,043,305,249,959,181,745,974,033,996,776,182,354,737,114,609,
646,075,210,589,728,113,549,288,332,821,058,471,745,023,701,697,599,488,281,
812,759,625,572,070,528,353,906,678,573,389,966,529,867,505,667,955,894,122,
864,864,511,527,563,098,441,592,420,335,612,646,518,324,012,384,150,642,721,
109,426,761,084,359,387,468,948,442,991,557,196,817,976,580,580,886,846,795,
460,381,988,499,802,081,718,301,631,726,615,361,452,576,431,923,519,008,839,
730,059,952,620,778,017,302,234,086,409,898,031,970,828,922,365,744,882,504,
721,667,100,548,184,292,288,148,570,511,331,539,515,091,417,189,475,161,404,
903,127,514,702,188,428,654,075,908,923,806,922,257,525,383,429,000,964,265,
424,671,191,666,718,860,847,755,917,211,401,223,580,532,147,865,531,633,878,
756,601,813,923,715,709,686,146,102,366,605,654,009,042,082,920,364,520,210,
107,624,938,402,276,066,037,433,057,599,094,690,969,820,070,258,466,477,301,
000,127,104,476,322,262,976,610,447,298,745,446,012,929,161,370,955,007,381,
625,363,097,457,844,377,115,425,972,737,369,629,785,723,169,798,280,983,307,
372,214,995,083,611,337,686,174,396,841,230,126,002,151,670,576,585,527,979,
873,026,372,122,651,652,101,112,113,095,382,202,861,482,089,334,743,046,625,
539,934,519,065,847,692,836,841,895,634,446,952,746,587,267,319,402,927,403,
239,460,131,873,543,150,296,331,857,645,645,438,312,029,094,747,475,639,383,
467,321,658,460,651,696,653,322,716,535,684,192,365,222,479,625,433,758,568,
358,920,042,312,685,762,260,658,519,387,243,098,638,971,579,762,041,025,436,
397,360,839,909,225,438,812,290,698,358,180,708,591,216,830,182,435,191,398,
715,451,227,381,257,399,943,738,475,237,276,192,403,826,073,527,550,645,452,
612,838,080,496,106,124,500,961,798,001,015,042,078,180,673,257,495,639,798,
349,281,155,294,897,633,108,739,064,810,357,331,413,691,294,764,441,511,565,
727,012,448,834,851,483,760,525,876,354,942,998,849,890,576,055,317,109,630,
424,876,936,041,106,465,005,421,997,093,849,296,554,484,236,106,785,269,538,
462,808,484,913,083,567,237,081,251,192,881,197,634,000,648,600,204,434,441,
643,524,460,833,009,228,417,877,116,191,717,077,656,620,217,975,594,652,641,
858,752,693,493,244,526,480,526,270,304,046,492,312,859,755,320,713,491,678,
467,523,477,444,614,466,806,064,693,940,953,088,607,989,021,159,431,171,273,
655,329,159,557,357,874,564,412,208,225,860,803,361,184,837,370,491,970,980,
705,002,911,677,969,259,583,021,554,696,178,898,772,893,950,212,442,793,338,
851,420,431,807,411,292,193,897,888,680,474,939,652,909,464,132,661,551,972,
206,399,864,371,595,601,979,322,271,580,432,858,790,061,463,301,067,033,467,
824,812,586,305,311,200,148,842,651,054,063,958,075,293,575,964,061,603,378,
643,003,575,901,847,308,750,608,996,198,464,232,322,537,111,938,043,049,384,
783,840,898,820,636,814,825,592,583,169,730,371,455,094,835,316,546,740,785,
506,834,080,958,648,270,717,422,978,304,736,341,246,831,261,203,568,909,647,
887,128,962,540,447,451,836,185,526,549,030,836,760,918,499,469,116,535,854,
860,994,217,774,799,888,560,637,031,836,542,504,452,437,499,105,908,879,128,
555,121,083,343,139,983,616,332,500,465,824,638,471,749,466,969,632,385,109,
822,871,348,283,504,632,331,162,532,716,462,219,216,175,947,320,968,208,529,
283,723,381,169,182,278,071,772,030,772,011,246,126,262,559,660,682,005,832,
034,064,370,484,178,791,048,535,105,164,111,819,225,419,605,267,306,207,617,
559,474,103,954,527,468,837,647,306,017,923,233,628,199,735,332,147,305,535,
783,970,428,903,536,250,476,808,146,330,189,257,773,051,531,904,213,379,212,
346,924,153,148,394,138,142,256,460,009,550,652,536,345,447,098,081,634,585,
416,321,052,790,140,708,838,548,267,232,339,861,870,147,240,248,404,872,425,
031,426,659,277,454,036,360,078,358,439,051,903,928,826,066,822,322,632,911,
971,575,248,830,477,369,331,254,517,584,764,371,000,094,995,782,611,754,724,
224,882,716,410,729,082,048,067,943,997,017,906,125,716,718,296,735,753,650,
148,479,498,175,045,245,011,498,306,215,632,336,342,817,108,472,597,718,544,
562,758,422,492,645,102,743,834,465,265,123,365,283,271,760,688,433,943,425,
513,821,982,070,233,851,160,418,647,227,199,618,255,823,408,112,425,838,470,
957,583,466,525,686,576,219,293,768,046,372,787,000,255,306,295,000,913,298,
081,725,784,888,339,917,031,658,216,917,836,178,006,642,442,250,698,604,259,
098,278,425,732,920,680,546,593,644,575,095,362,248,004,584,058,016,705,790,
736,852,937,728,475,744,940,596,288,587,080,803,989,885,335,346,518,568,104,
868,628,796,035,287,874,047,747,352,426,540,284,450,349,087,025,236,808,946,
402,442,960,859,194,112,586,068,887,977,174,423,265,231,534,477,147,367,385,
494,278,986,416,328,552,444,918,391,362,166,531,297,479,461,620,683,408,563,
392,515,076,967,955,139,948,497,110,999,419,318,283,203,042,025,774,487,642,
214,071,281,225,103,285,374,642,095,125,570,760,899,357,493,879,058,502,832,
597,131,828,796,065,742,957,391,659,317,956,369,497,366,320,817,297,824,477,
751,361,837,829,531,586,489,529,815,775,684,400,045,511,669,959,931,972,652,
229,731,923,344,806,848,373,882,694,717,318,201,332,608,153,915,148,243,192,
119,659,950,434,828,369,520,834,911,271,858,299,254,068,763,335,763,321,686,
292,356,912,883,934,638,006,445,740,457,181,819,982,757,422,594,416,931,218,
385,663,702,922,040,895,679,858,762,917,799,647,332,754,575,926,241,791,946,
503,755,698,793,319,535,202,230,573,420,926,780,738,830,874,340,648,457,886,
998,310,133,804,141,549,846,273,467,076,080,980,117,977,332,887,450,650,523,
614,882,235,401,699,640,450,506,867,471,270,821,067,122,080,648,035,784,947,
837,570,478,899,410,943,846,191,862,667,450,342,350,851,782,472,017,366,944,
309,669,424,554,035,903,139,931,192,926,120,684,680,953,634,749,363,893,489,
536,412,828,816,798,163,026,825,870,399,522,515,509,748,769,887,344,494,343,
820,773,577,829,543,854,889,308,103,264,796,347,298,574,395,727,978,831,271,
775,458,450,938,408,044,770,796,785,724,011,021,139,332,975,106,527,892,540,
767,858,524,672,668,136,997,881,743,239,497,817,684,038,573,541,346,558,480,
402,021,857,661,206,777,493,504,558,290,687,171,169,814,202,257,176,768,044,
330,669,736,071,909,734,427,245,043,827,040,709,848,541,924,672,792,620,088,
959,476,669,996,256,540,805,983,101,309,625,347,014,595,242,351,226,710,861,
689,609,447,562,847,417,602,512,927,430,008,771,378,639,243,676,304,812,784,
809,500,432,481,924,785,086,281,989,682,377,677,545,909,588,039,406,773,216,
339,408,157,378,856,800,768,974,173,480,216,532,177,735,611,661,391,026,460,
616,109,800,363,379,987,708,218,476,776,515,290,551,504,086,804,862,766,976,
249,300,803,671,516,672,034,788,068,468,447,018,503,808,030,049,759,750,682,
789,257,833,009,222,803,436,573,992,246,289,401,975,194,881,425,594,733,357,
419,167,974,476,396,742,517,125,149,339,216,722,571,582,014,270,389,321,428,
436,846,239,154,892,840,588,303,046,003,878,848,860,376,611,034,360,550,714,
865,351,797,419,585,813,093,022,688,836,575,084,478,053,332,451,002,315,608,
261,121,115,859,092,234,552,084,375,294,315,965,478,695,601,235,844,420,807,
396,737,286,813,928,209,070,810,616,968,571,956,651,494,840,828,569,701,108,
589,645,562,485,078,190,686,773,515,978,917,793,362,422,252,657,052,532,230,
284,689,923,350,624,521,079,383,555,706,828,906,975,498,609,391,008,395,258,
808,923,500,680,651,564,161,946,837,980,908,313,202,034,425,979,635,316,223,
110,269,853,742,839,625,302,898,630,388,978,944,128,364,699,005,874,914,989,
820,552,019,747,088,666,063,477,866,879,656,786,972,021,849,765,077,023,919,
647,332,095,957,602,923,969,675,512,483,030,792,044,503,378,987,271,105,009,
493,330,419,687,901,060,138,105,485,164,730,160,105,450,145,862,490,441,983,
265,368,542,859,129,141,429,342,569,755,362,347,119,683,899,484,227,619,696,
691,129,796,835,840,002,071,033,959,255,557,109,069,460,673,277,785,861,479,
093,268,871,042,682,424,788,388,617,289,430,284,460,660,529,815,507,875,316,
750,547,769,324,782,976,158,682,476,975,710,207,510,394,513,334,368,542,852,
139,807,345,495,833,193,012,092,129,141,713,353,012,295,777,661,135,629,671,
869,509,756,654,592,198,182,998,213,359,289,049,712,693,092,107,455,834,946,
411,107,846,934,260,960,931,489,991,300,227,439,225,758,183,780,112,146,313,
276,836,631,824,598,078,487,165,023,919,770,027,738,762,561,720,324,632,121,
762,995,973,326,216,679,262,855,084,719,382,383,140,348,076,322,213,913,345,
056,718,875,144,403,448,797,432,630,957,078,598,050,024,344,221,477,019,619,
585,035,851,748,851,129,691,346,808,350,877,649,539,757,263,295,098,911,102,
505,126,334,898,193,977,086,669,304,843,798,967,717,531,062,876,007,860,897,
104,293,852,122,775,996,100,257,979,131,194,271,528,865,242,231,159,593,193,
847,826,663,809,466,229,892,023,511,107,536,403,339,479,380,710,884,523,630,
208,285,038,424,207,667,931,873,991,277,871,707,802,542,789,012,274,127,957,
598,816,314,048,134,115,114,049,935,515,834,651,081,976,914,584,268,836,692,
327,532,588,170,635,456,767,762,917,920,267,887,871,949,952,595,670,429,516,
177,613,603,782,414,257,971,606,453,827,351,428,865,801,749,324,454,291,946,
884,201,944,990,540,973,717,849,797,652,912,964,315,728,393,762,206,391,011,
777,395,797,505,083,075,265,668,609,829,524,543,346,545,965,082,875,491,195,
534,270,242,804,680,649,596,036,241,870,337,984,318,832,035,029,567,624,796,
903,938,944,246,881,757,090,997,644,962,523,938,207,266,709,313,849,028,622,
076,864,181,678,872,303,121,876,656,414,439,012,941,599,413,098,051,491,366,
952,208,575,175,455,940,366,011,955,334,251,593,227,429,474,180,139,438,114,
828,039,808,726,520,431,587,109,207,350,443,834,393,741,894,642,299,909,249,
433,772,405,722,795,956,009,064,816,353,500,228,547,387,145,600,331,961,590,
530,845,359,592,062,118,698,197,596,393,231,592,981,805,551,600,646,124,758,
220,886,654,717,700,520,798,442,069,042,003,343,488,962,328,150,203,406,284,
000,725,875,971,273,922,618,554,302,537,701,131,020,680,937,906,239,900,755,
050,364,705,908,629,348,032,770,418,139,060,644,715,987,480,771,544,726,175,
788,770,888,684,358,596,850,907,568,255,924,298,158,457,719,937,862,129,323,
095,129,956,461,293,067,688,184,543,139,579,015,618,856,985,069,543,051,685,
994,145,561,713,242,625,283,175,653,289,853,063,079,439,630,938,067,434,641,
431,256,125,284,840,081,632,428,489,873,961,096,564,754,535,540,690,224,799,
964,332,107,791,005,876,764,985,083,363,952,977,661,896,644,551,899,616,301,
652,367,802,567,256,023,202,977,901,525,074,820,551,313,906,024,709,014,339,
226,844,529,139,031,408,802,153,482,655,234,549,069,534,518,942,938,946,549,
102,897,913,113,102,327,993,530,929,718,187,201,915,390,701,892,609,607,019,
603,318,652,655,594,966,973,133,393,710,222,079,898,227,069,098,673,006,309,
015,387,030,549,158,779,582,177,024,487,889,256,899,909,524,721,282,681,458,
814,477,949,106,410,856,286,732,660,205,713,013,612,562,050,104,584,960,326,
159,987,843,957,320,755,045,224,599,123,768,821,596,183,516,260,610,526,254,
552,845,897,206,634,975,608,064,110,647,725,319,362,267,618,871,052,526,172,
990,121,647,779,198,737,065,393,138,161,379,622,531,967,611,540,236,025,715,
976,228,622,386,180,627,880,354,144,032,152,897,916,619,579,218,273,640,643,
888,577,495,825,668,841,600,378,050,842,669,619,767,915,292,334,829,697,349,
686,646,254,916,856,411,402,179,439,706,282,342,152,261,855,948,213,057,125,
325,420,327,373,021,438,476,353,582,034,258,834,378,047,814,717,164,761,904,
363,613,718,208,971,656,309,394,810,138,112,863,453,512,813,973,713,227,217,
423,356,154,928,462,561,541,455,941,271,925,437,727,010,175,863,107,208,687,
023,001,559,997,350,060,501,628,786,267,641,042,850,660,822,191,481,479,970,
683,350,432,018,577,764,785,226,417,663,899,410,239,928,962,280,529,015,083,
408,557,824,408,500,483,020,514,999,230,570,898,840,496,504,084,780,168,654,
975,166,856,455,440,685,767,257,398,890,464,242,223,456,072,067,257,506,967,
207,976,112,189,302,578,189,312,202,033,467,883,070,273,804,290,693,344,870,
969,352,063,272,981,116,694,288,683,936,245,659,912,151,114,143,219,934,420,
428,611,178,931,760,819,999,608,860,052,148,129,326,835,683,278,611,586,559,
525,811,784,222,539,137,220,300,658,029,843,056,508,488,143,893,953,242,807,
267,601,521,444,977,532,767,977,666,389,113,738,046,029,685,323,459,740,201,
288,523,467,172,177,396,240,646,299,025,592,213,744,777,475,191,068,482,050,
736,687,145,150,703,594,558,378,850,938,027,548,353,642,062,050,505,997,180,
935,135,501,324,907,247,857,423,899,438,280,691,429,540,464,371,008,329,808,
262,510,542,512,572,458,245,707,412,259,486,480,832,978,953,509,893,494,202,
934,268,903,625,335,767,954,743,580,184,110,691,897,789,972,003,822,078,380,
677,607,245,234,577,103,572,148,867,057,220,159,754,812,308,302,509,940,097,
593,633,530,484,559,205,520,828,888,104,262,979,717,640,850,320,492,788,676,
662,356,066,766,497,188,345,803,102,973,166,268,550,677,513,948,453,737,253,
300,749,954,633,447,295,483,637,028,791,847,950,584,934,339,278,229,710,084,
195,983,557,738,131,285,581,749,561,971,328,420,176,684,140,126,912,598,452,
095,767,452,446,044,139,248,076,652,578,030,452,184,384,689,218,223,364,792,
335,302,224,861,025,620,469,632,960,930,202,659,623,132,396,007,060,349,452,
312,922,796,914,483,497,075,314,863,297,880,574,063,822,417,601,348,325,337,
619,493,550,268,797,443,429,179,093,286,998,232,040,279,153,195,667,854,670,
396,970,513,466,840,593,895,124,589,239,834,647,904,091,717,129,080,169,210,
644,868,258,166,077,879,827,100,783,421,839,525,541,577,301,070,838,733,632,
507,234,800,819,283,700,103,217,091,575,895,525,572,614,570,352,407,063,254,
831,508,454,270,382,651,089,535,705,762,229,614,750,054,124,071,016,499,436,
727,574,223,926,211,963,130,733,703,294,875,759,605,033,358,392,329,239,461,
698,648,190,697,040,228,521,631,427,335,739,345,034,222,159,829,465,011,497,
882,236,954,049,549,028,628,760,934,721,493,120,923,780,423,811,981,732,659,
604,536,966,265,891,029,532,908,093,872,535,063,574,571,281,732,674,078,131,
946,399,213,947,239,770,545,714,195,370,041,019,454,647,020,673,754,835,548,
164,219,945,375,715,328,371,953,041,294,640,641,114,710,295,188,823,223,043,
309,597,207,887,742,735,223,256,951,453,583,642,773,128,091,550,968,525,845,
279,468,688,024,048,070,533,306,729,703,261,056,453,170,524,773,350,491,509,
117,519,038,954,949,419,957,146,857,227,434,235,199,569,662,699,807,651,357,
041,220,440,921,457,437,685,914,308,872,736,950,959,979,741,350,922,944,434,
220,865,174,302,690,102,257,534,055,280,479,412,580,763,709,665,319,185,445,
321,372,733,049,064,217,841,933,673,137,119,383,555,437,935,006,298,463,423,
143,447,830,499,595,104,893,359,346,877,168,581,423,185,335,466,571,183,394,
013,876,224,216,040,577,124,758,945,295,131,935,745,616,772,521,348,707,027,
213,605,908,036,941,137,310,292,089,377,285,770,764,399,445,738,763,833,365,
041,199,975,913,415,877,879,576,996,890,667,025,402,526,478,472,906,162,302,
784,449,671,972,233,901,107,560,554,060,236,528,179,036,975,394,254,045,609,
221,290,810,268,963,550,731,079,812,088,351,377,399,536,010,949,666,893,983,
476,718,243,132,848,978,369,094,229,850,033,023,575,942,605,410,331,131,774,
647,374,082,915,110,564,106,436,332,374,140,597,883,746,734,179,166,475,032,
371,235,134,010,326,848,697,962,314,613,475,538,235,579,109,438,227,547,812,
837,788,932,985,516,958,895,925,436,102,942,858,012,653,557,019,974,015,163,
075,297,900,936,492,098,956,575,044,251,264,230,954,416,430,902,267,077,167,
712,712,688,903,172,432,896,193,339,613,043,446,823,836,185,805,738,065,411,
957,155,709,382,489,811,610,183,328,667,556,218,630,031,329,438,433,585,109,
420,273,423,938,344,865,272,489,204,076,487,868,912,645,530,175,021,075,408,
901,467,497,573,634,663,678,257,841,743,367,382,648,298,383,917,480,065,099,
691,703,617,997,636,767,668,839,269,755,949,072,085,660,019,146,128,986,026,
459,445,105,674,919,215,544,175,403,173,992,167,210,034,268,866,072,570,336,
093,446,651,102,801,928,258,048,587,362,185,309,568,089,724,549,179,563,850,
626,940,340,602,633,266,667,652,445,486,670,092,499,862,362,354,503,974,757,
999,210,661,849,436,141,006,373,183,315,413,113,819,862,851,444,929,985,927,
574,244,110,240,351,227,647,241,318,895,677,184,441,123,816,066,824,446,821,
767,092,928,885,369,599,395,424,582,801,617,341,590,940,226,620,917,992,046,
869,185,036,357,644,021,949,563,685,839,951,798,521,786,945,594,379,426,440,
205,831,203,501,879,699,626,946,718,906,680,229,926,214,495,295,460,505,488,
588,238,072,689,338,072,812,439,364,363,766,716,432,617,433,773,959,082,768,
274,423,303,829,836,511,313,557,109,791,598,847,987,778,341,370,656,770,783,
942,101,173,906,409,471,801,979,777,538,035,182,550,503,786,639,753,307,286,
974,023,884,445,508,921,519,471,989,614,295,479,000,429,783,183,852,311,088,
484,032,185,538,677,787,931,090,026,499,341,836,666,914,527,765,531,065,849,
876,957,015,956,520,976,454,225,369,453,767,184,197,123,554,427,759,893,729,
116,868,179,857,962,285,388,549,374,721,485,489,354,995,758,951,336,189,462,
493,085,284,383,663,830,211,686,318,434,712,740,119,319,724,874,727,636,094,
165,801,078,567,373,705,744,243,520,076,034,922,788,277,214,296,344,550,277,
501,477,774,064,861,231,573,027,004,600,421,913,481,340,355,982,119,886,619,
877,445,675,525,466,406,030,823,591,590,309,253,878,410,103,718,331,340,750,
306,936,313,308,834,076,964,004,193,599,386,810,966,686,413,337,241,843,337,
357,045,113,726,038,181,944,174,759,069,236,271,410,939,863,212,103,492,082,
912,379,999,448,535,151,632,740,028,797,152,442,810,704,230,406,414,802,427,
528,081,020,611,783,508,274,939,479,927,727,303,939,266,834,875,261,140,192,
039,121,536,102,923,201,593,706,608,475,714,262,802,060,151,901,922,058,232,
121,912,804,491,516,178,167,386,623,680,212,796,086,472,122,276,293,026,763,
759,056,742,388,467,695,665,581,208,889,670,849,114,326,695,238,812,706,366,
876,947,814,532,666,193,007,803,777,928,405,467,508,777,666,121,029,591,707,
179,991,956,032,390,862,902,318,034,091,052,800,927,037,807,688,762,018,111,
402,895,421,246,711,137,401,670,606,201,977,630,422,404,809,491,365,282,314,
222,844,567,751,757,902,081,377,181,527,163,255,579,141,986,613,222,337,067,
845,906,402,143,867,963,873,636,494,775,679,212,301,578,976,800,881,081,231,
114,400,058,352,734,342,460,302,395,317,973,384,013,227,562,139,115,065,122,
492,177,805,098,465,570,199,705,525,561,458,790,798,244,071,403,610,875,292,
459,287,152,314,796,318,772,628,518,472,678,961,528,266,825,503,959,906,499,
937,315,573,155,727,135,330,190,445,974,113,877,281,945,498,222,677,079,418,
500,742,713,226,451,205,305,536,385,563,829,463,440,470,572,108,029,153,359,
754,574,179,312,739,759,981,399,133,411,159,654,854,490,868,265,342,932,388,
408,559,086,071,100,728,808,199,011,871,797,854,387,576,770,821,805,728,491,
214,051,635,198,152,181,229,425,142,431,606,431,050,520,465,281,911,420,857,
262,555,526,504,694,161,677,310,790,504,602,366,798,006,572,743,592,347,870,
638,259,511,842,885,843,038,990,185,364,313,554,005,271,575,258,486,461,524,
781,924,935,153,388,742,976,837,784,156,859,768,455,979,530,547,977,989,216,
078,261,651,746,003,204,562,291,644,356,690,147,316,160,966,095,734,742,505,
969,695,774,408,945,154,340,904,019,818,935,981,817,253,857,568,430,031,819,
906,454,447,510,396,609,237,779,551,088,347,040,839,952,933,768,359,300,653,
149,318,311,515,797,497,391,952,754,605,474,507,556,695,885,854,972,108,521,
392,053,203,491,234,031,336,760,519,608,470,650,287,337,014,360,891,575,989,
733,510,657,592,797,792,692,873,700,004,496,712,715,353,048,692,459,410,104,
905,771,365,188,843,893,681,593,105,678,035,986,511,638,150,681,284,882,630,
744,128,318,701,930,958,650,074,509,939,041,751,757,564,042,732,718,773,503,
071,268,285,637,505,102,798,551,432,893,881,989,592,738,999,819,127,469,776,
363,227,111,206,899,151,594,727,514,939,808,743,762,813,348,717,801,505,605,
682,785,381,567,229,523,299,198,372,972,677,885,866,144,268,161,164,646,915,
639,853,955,080,632,780,658,356,145,377,968,032,027,963,411,366,686,684,119,
446,263,144,417,758,209,355,111,898,155,602,957,014,103,812,958,555,660,385,
388,758,646,257,835,878,653,869,256,777,673,056,042,681,305,222,045,479,955,
552,378,645,054,033,499,178,308,005,295,784,861,166,245,817,587,861,993,957,
166,979,858,909,973,349,417,827,700,123,610,193,809,119,431,024,134,563,921,
563,017,053,169,802,772,505,840,832,340,116,047,904,277,305,817,830,116,909,
776,897,277,549,633,017,912,115,994,945,631,448,777,715,550,117,594,986,903,
417,108,687,083,379,741,900,566,170,595,095,481,400,357,364,743,950,973,789,
250,171,301,413,622,001,775,275,037,606,866,265,666,909,793,177,449,875,627,
411,922,077,908,718,691,389,133,741,004,888,313,554,897,309,317,624,561,431,
474,579,150,877,505,466,563,282,068,670,875,263,130,939,246,141,519,759,154,
823,684,699,317,726,485,901,621,669,979,462,247,201,442,976,855,855,854,844,
081,584,040,705,707,726,693,823,807,238,674,052,114,436,343,912,939,075,300,
627,400,136,737,761,410,793,753,930,609,128,598,349,284,016,458,995,892,411,
626,987,710,783,931,816,849,048,635,042,450,665,188,597,979,775,572,966,843,
796,565,057,689,973,699,693,028,352,773,863,849,766,852,981,509,363,719,232,
511,799,653,579,373,226,261,635,547,495,030,043,089,154,364,191,169,667,708,
931,467,349,158,919,717,600,314,991,598,575,178,004,082,906,727,631,655,754,
726,300,611,885,679,082,023,320,799,992,758,594,555,373,452,662,258,730,761,
431,050,431,606,291,999,564,945,530,896,809,630,260,461,085,595,231,748,244,
932,128,762,279,151,253,546,021,040,233,857,359,393,202,079,577,332,378,981,
679,820,248,645,151,393,710,632,545,271,286,923,489,916,833,573,891,142,747,
270,879,783,961,359,075,719,506,774,472,887,052,434,878,600,530,216,982,121,
414,144,733,577,121,360,574,855,501,678,284,354,096,114,309,455,126,869,156,
721,029,621,399,939,509,551,930,489,770,555,289,844,659,185,755,526,808,994,
882,994,096,944,319,377,080,854,691,563,452,791,591,999,237,082,426,611,297,
135,523,704,521,221,138,762,238,604,542,964,309,419,436,255,431,961,549,287,
232,250,618,635,386,118,035,265,249,225,722,463,467,658,951,515,738,858,637,
320,472,996,849,072,792,920,023,419,512,010,790,046,402,501,686,092,894,613,
811,726,313,427,361,193,640,878,714,047,330,415,880,554,910,634,741,306,244,
898,169,151,977,121,569,049,385,678,400,576,814,440,960,814,533,173,586,306,
339,559,110,409,055,395,273,416,446,368,803,161,168,293,312,415,441,022,860,
519,655,227,242,652,178,276,080,032,585,366,224,908,400,206,675,967,564,412,
571,091,557,028,354,262,950,741,267,871,711,947,736,549,045,283,397,468,026,
613,968,863,982,592,831,992,917,372,816,807,316,652,765,034,252,603,137,912,
754,164,678,555,025,853,295,791,154,132,469,483,998,672,742,205,201,208,799,
407,768,432,368,747,987,668,336,164,985,111,757,737,786,576,420,120,821,137,
212,430,780,798,068,806,081,381,643,466,595,508,112,056,553,354,445,127,070,
207,286,459,741,739,156,722,229,777,988,132,095,436,214,388,264,206,888,873,
357,094,954,890,128,551,512,345,443,619,596,635,672,219,889,142,520,262,444,
931,230,995,150,695,543,983,998,566,533,363,768,496,591,174,312,425,180,202,
618,142,208,210,531,538,712,160,978,021,811,051,980,613,525,718,077,147,959,
020,427,282,057,434,330,781,926,154,946,928,173,268,241,725,310,060,643,389,
553,040,461,885,737,434,850,494,116,213,235,591,842,809,066,656,686,561,770,
592,666,674,487,097,524,616,439,751,685,666,425,963,658,798,928,750,436,289,
065,471,432,088,987,908,647,508,411,710,201,987,299,603,335,213,253,835,485,
960,087,549,884,559,627,335,219,835,550,189,861,978,677,203,348,029,677,982,
006,255,131,121,446,835,051,597,597,015,118,360,281,450,641,785,344,981,783,
782,912,278,353,336,001,630,598,981,397,240,012,381,119,977,762,286,242,873,
718,148,784,654,905,482,478,076,949,208,310,980,498,146,257,048,170,144,080,
274,676,110,261,094,663,786,900,203,722,853,345,023,722,084,136,218,538,731,
647,274,776,040,969,698,005,897,182,279,486,880,240,370,162,408,238,871,595,
669,353,337,325,474,883,980,499,987,918,685,288,068,965,069,301,906,015,783,
437,344,448,776,081,409,279,753,141,723,324,843,278,935,208,809,607,276,048,
417,469,532,289,638,953,690,788,253,652,474,806,148,251,543,319,757,760,890,
339,334,725,816,378,921,821,957,190,706,664,642,778,472,137,559,737,788,326,
975,464,608,952,313,542,116,063,757,599,612,938,718,485,317,095,121,049,367,
783,031,956,918,437,977,894,425,183,409,928,013,689,403,201,444,444,925,621,
111,176,553,192,500,245,621,589,261,901,575,989,968,000,183,832,884,105,388,
138,833,198,854,148,198,289,146,440,174,564,748,338,061,463,469,819,980,461,
671,389,062,897,640,696,861,710,827,290,966,184,615,191,659,716,718,711,498,
495,941,952,396,702,077,668,391,609,439,401,281,978,709,618,844,085,414,475,
333,004,838,969,212,938,052,531,000,691,564,670,033,014,979,294,223,056,236,
237,147,438,325,594,593,813,109,816,221,352,163,804,893,602,546,213,035,728,
164,718,884,737,818,940,469,889,765,404,280,962,222,453,231,482,399,827,207,
040,997,678,374,157,316,956,855,664,486,064,278,654,915,899,608,981,973,925,
093,021,578,210,457,152,535,854,322,223,700,216,903,122,432,535,894,954,800,
898,354,518,736,516,436,440,484,321,073,024,109,093,201,842,793,047,134,849,
166,728,753,601,800,520,521,278,456,787,170,700,652,420,756,620,478,818,095,
448,333,537,026,020,936,109,559,577,074,594,801,310,527,378,867,571,954,569,
089,420,184,287,556,606,658,608,521,287,740,666,458,239,192,325,443,122,532,
615,579,399,957,726,105,028,780,147,297,101,261,021,119,292,915,762,092,153,
906,191,403,440,923,205,501,025,937,272,106,102,721,352,000,909,441,119,443,
589,246,022,672,672,079,282,114,288,755,106,137,637,467,499,937,762,807,347,
193,175,561,303,181,649,356,630,224,994,906,306,465,075,878,278,994,983,596,
251,620,340,747,186,803,835,597,705,670,401,820,602,865,903,288,370,703,611,
767,807,183,393,760,217,403,624,595,376,711,010,423,245,645,636,190,838,661,
333,214,778,286,344,811,932,491,979,697,086,833,034,214,604,107,951,800,131,
779,633,850,591,870,934,975,144,599,132,861,699,065,790,972,587,047,696,120,
859,478,790,102,282,705,345,002,863,935,025,213,951,456,868,920,020,876,208,
250,032,247,598,027,793,255,335,736,560,865,929,898,281,710,909,266,905,841,
166,684,547,384,986,278,461,226,314,310,608,669,746,149,287,237,943,231,384,
697,473,830,116,851,747,731,382,346,291,398,158,603,823,612,521,436,623,460,
520,877,377,842,105,529,389,619,746,547,066,459,491,211,651,773,667,414,975,
071,745,463,553,037,963,634,679,385,153,703,691,136,596,221,330,468,017,275,
948,908,271,455,000,267,669,898,489,679,296,492,006,014,851,511,883,613,001,
808,156,644,950,806,194,774,878,823,042,325,520,848,357,648,429,460,793,700,
163,871,576,062,548,019,639,225,439,035,486,671,119,052,711,050,532,707,093,
787,083,473,695,394,660,016,414,960,343,188,646,244,084,033,985,116,778,689,
472,297,694,918,305,336,891,041,340,618,412,295,984,032,410,632,343,036,565,
180,810,324,929,260,363,774,434,647,163,469,915,333,064,761,401,769,739,766,
606,642,937,476,088,991,763,286,711,851,210,491,938,279,296,841,774,955,088,
428,952,382,224,391,892,234,052,311,974,229,302,085,570,546,994,320,814,506,
404,808,840,786,342,100,226,718,110,651,814,626,612,168,328,595,900,292,947,
948,552,651,202,113,592,521,723,035,953,339,453,750,768,134,049,875,452,719,
721,901,653,745,565,027,527,119,794,711,226,029,928,060,401,500,706,547,837,
991,928,788,169,885,793,446,861,522,827,527,370,957,342,851,407,633,001,650,
754,398,989,436,435,492,463,323,061,082,085,006,924,080,865,617,773,723,008,
523,604,477,398,276,757,487,055,105,652,543,661,963,303,809,774,766,388,246,
071,811,956,601,822,289,510,200,256,995,378,024,977,203,264,606,660,032,516,
306,502,025,615,447,740,151,196,944,582,868,463,604,503,689,721,700,762,001,
508,708,759,422,363,856,897,295,169,012,880,206,167,714,062,073,696,179,112,
792,442,325,993,168,991,282,959,923,093,760,838,414,465,741,846,651,390,574,
238,678,418,044,582,100,595,920,546,404,535,244,570,517,568,984,195,769,055,
680,263,902,303,337,793,691,570,298,988,090,784,773,455,326,657,620,240,268,
664,390,336,230,740,361,061,964,749,574,822,081,894,624,071,334,771,531,223,
624,709,754,451,952,603,579,759,550,192,811,867,645,109,447,058,084,882,136,
799,480,604,738,246,189,628,742,163,037,505,650,176,792,257,249,948,987,540,
991,683,963,423,458,159,301,519,648,934,132,256,693,304,589,791,630,526,011,
701,194,101,384,046,497,965,914,829,829,515,659,264,406,316,619,711,662,178,
228,152,776,834,624,088,280,199,166,462,769,689,830,887,269,384,246,994,964,
870,922,607,437,342,627,698,675,896,837,995,192,221,706,204,703,245,154,355,
018,073,225,656,152,576,495,323,151,855,072,427,590,254,705,846,250,713,260,
342,043,866,822,637,649,044,028,355,361,721,391,980,127,145,569,328,336,217,
828,228,004,653,266,206,018,309,877,650,901,834,973,742,070,431,726,589,850,
112,922,329,166,488,550,216,955,310,975,307,627,772,132,930,618,317,355,099,
494,931,176,490,428,881,198,343,819,307,055,061,867,121,078,773,786,980,254,
756,066,174,847,389,383,672,750,235,244,262,971,242,311,230,920,063,064,945,
755,726,682,630,260,932,629,720,830,942,353,831,669,700,094,251,738,097,353,
680,569,156,969,269,522,934,874,946,590,774,672,471,932,025,893,021,011,016,
634,334,977,650,653,019,896,319,996,586,411,076,718,522,541,655,063,865,173,
931,924,603,407,313,324,696,710,764,330,053,121,185,049,983,924,580,123,411,
148,120,086,203,983,147,000,277,159,123,234,967,112,435,327,746,010,647,570,
081,084,981,666,522,866,616,518,765,270,194,875,696,206,058,999,103,897,908,
940,054,754,734,800,273,223,565,011,862,893,119,918,267,652,418,823,691,183,
170,129,930,519,034,508,191,793,717,914,998,352,809,158,357,000,941,943,177,
507,560,145,340,888,147,320,860,199,900,443,015,908,092,562,532,929,601,768,
436,817,840,104,819,686,667,873,385,045,882,989,848,298,833,567,248,237,137,
647,138,751,398,681,157,953,566,275,601,340,706,637,372,354,254,659,210,238,
095,189,162,794,973,152,840,741,917,620,567,332,606,359,817,816,223,319,299,
075,282,088,501,412,617,950,410,250,957,720,240,151,091,768,570,372,873,746,
626,887,965,595,761,622,647,705,354,075,704,786,232,082,488,313,055,688,606,
350,256,488,834,076,891,782,948,515,425,272,549,415,415,432,230,058,095,113,
838,859,862,485,763,523,260,514,373,234,854,100,211,719,037,194,036,249,664,
682,789,460,806,880,807,863,666,794,483,031,872,923,697,731,620,464,760,288,
612,718,763,260,509,910,055,320,774,105,542,457,486,096,693,973,795,127,604,
282,314,985,879,275,335,201,946,807,699,667,177,268,667,628,204,052,851,043,
688,990,816,472,035,491,110,478,806,003,999,678,229,889,552,148,463,827,111,
348,174,765,890,690,195,168,814,338,188,143,360,218,979,659,845,828,098,695,
871,265,272,191,452,744,407,271,343,850,741,849,656,148,976,752,855,259,951,
515,511,103,445,899,558,720,598,174,042,161,354,035,953,203,496,787,710,272,
741,666,633,970,462,350,163,893,931,587,753,964,389,736,121,559,916,670,364,
468,612,919,117,238,856,432,255,374,916,968,611,683,489,156,918,812,770,041,
920,005,359,089,767,184,098,347,326,229,524,034,572,743,060,776,979,984,179,
714,532,725,134,712,081,756,445,153,691,834,160,552,097,319,665,780,691,809,
511,740,645,872,065,806,906,914,711,265,608,939,124,142,199,265,651,984,187,
783,652,125,321,352,078,880,310,676,080,276,551,951,079,239,604,633,787,120,
612,159,502,891,946,884,939,246,362,491,168,415,062,598,989,524,877,696,964,
759,831,995,206,906,291,656,602,479,695,936,627,084,272,460,516,998,514,935,
230,271,902,092,742,841,422,929,857,554,051,293,197,676,353,393,178,746,149,
206,457,299,686,140,072,305,775,596,995,327,067,686,446,056,152,291,956,259,
644,354,908,085,106,542,808,299,036,955,272,275,300,838,599,180,908,145,727,
886,947,047,610,625,156,437,894,537,190,574,353,946,596,735,712,973,339,216,
177,115,764,873,940,362,499,653,089,603,423,502,114,339,970,977,048,425,960,
947,403,215,469,688,555,482,606,972,688,717,901,581,357,652,604,436,956,574,
347,614,361,063,781,654,692,228,991,355,978,255,666,911,872,149,661,926,881,
329,274,821,930,603,954,914,817,264,928,425,289,396,987,428,863,699,402,121,
032,487,992,556,114,048,990,815,199,983,276,519,935,171,254,832,942,971,476,
217,948,972,263,694,214,769,076,111,156,617,126,811,439,347,467,695,691,919,
053,465,130,012,655,307,133,119,976,594,964,880,423,918,791,953,736,764,879,
073,743,713,543,525,378,189,960,280,705,455,459,952,002,524,665,944,641,256,
478,190,385,495,944,452,305,370,404,826,787,429,817,667,252,764,395,346,226,
822,920,448,349,919,148,953,981,382,657,161,156,799,744,731,686,159,436,713,
423,805,663,154,305,992,390,832,180,236,679,389,566,035,164,591,281,116,236,
857,723,723,615,500,154,997,205,424,772,329,602,135,064,734,581,947,681,538,
835,764,349,409,776,121,820,263,762,825,637,840,268,361,520,549,424,310,438,
924,655,646,807,222,469,282,253,010,402,985,301,193,376,015,214,697,761,798,
976,494,642,247,318,166,209,773,776,788,482,630,474,535,999,583,322,098,787,
262,051,249,834,758,193,534,887,269,290,309,227,493,499,938,112,261,945,436,
810,130,669,335,035,097,587,841,081,942,505,847,737,243,207,260,129,836,259,
856,867,667,347,754,301,295,357,881,920,730,656,710,494,466,849,989,676,423,
445,138,166,651,054,248,131,155,283,071,498,031,061,738,752,065,879,710,182,
777,203,752,654,745,274,480,131,545,432,605,841,872,939,358,192,955,664,589,
578,360,043,759,963,326,748,661,330,375,483,114,481,328,148,851,033,424,934,
583,037,873,918,425,867,782,362,459,308,625,423,730,902,094,392,079,416,397,
275,122,114,974,021,879,419,294,413,751,326,482,368,170,301,286,961,939,310,
081,377,114,189,867,590,713,637,490,782,889,420,530,841,153,785,625,086,707,
103,737,058,092,214,773,628,866,831,702,891,988,742,308,523,443,078,492,989,
727,696,068,254,207,177,564,849,959,926,252,579,108,987,289,220,085,485,906,
256,329,899,250,190,007,062,530,753,780,415,871,486,352,748,141,648,268,001,
339,261,644,979,610,984,829,319,384,439,505,479,174,812,077,406,688,532,792,
276,802,103,267,962,683,340,028,436,608,739,003,369,401,450,431,488,268,875,
016,566,179,380,345,699,151,060,815,133,974,092,879,785,030,354,973,488,565,
098,590,887,931,207,837,916,413,930,266,043,560,193,172,893,266,685,438,164,
350,448,511,320,951,175,322,114,591,548,617,523,704,503,489,971,531,253,350,
192,667,963,475,370,961,585,378,316,248,979,302,908,675,676,158,643,590,455,
997,011,722,534,636,250,326,722,468,855,387,908,061,102,779,050,857,576,798,
671,637,384,760,547,131,776,381,794,949,455,846,278,912,876,970,028,400,842,
373,053,884,183,792,966,911,126,555,049,078,765,012,252,640,411,893,522,660,
215,603,880,782,253,097,592,304,282,500,862,117,411,670,133,078,046,226,573,
144,284,761,486,353,146,423,329,787,253,913,690,982,282,537,077,167,504,730,
495,596,620,530,887,318,841,667,782,968,614,308,668,597,360,331,253,032,165,
165,863,682,243,520,421,355,595,548,165,696,604,944,949,008,811,334,556,028,
905,829,382,005,242,786,354,446,451,313,154,397,284,773,950,912,386,540,160,
449,947,655,104,411,567,264,093,514,607,973,930,317,202,369,661,950,778,166,
884,212,783,722,886,569,474,389,479,371,493,213,971,235,884,018,122,057,857,
567,957,055,972,869,765,496,574,195,157,030,600,121,566,967,178,602,906,865,
408,757,862,558,168,850,215,324,489,737,721,176,505,863,987,794,186,585,452,
685,257,814,141,199,113,198,899,750,984,047,892,401,688,396,357,023,623,009,
171,072,123,720,317,321,049,681,216,042,623,769,846,544,644,974,485,399,529,
507,361,381,593,225,251,474,718,181,968,158,878,180,139,628,055,678,082,868,
592,778,302,532,020,848,624,549,077,863,710,827,222,594,524,138,309,067,771,
854,927,272,013,952,258,874,187,058,525,404,377,645,107,850,979,802,888,298,
991,157,711,374,702,044,045,801,661,144,452,723,826,635,181,947,794,795,105,
158,017,623,419,886,928,758,432,915,793,007,930,245,299,675,136,875,240,824,
737,532,349,798,091,859,295,901,546,290,507,205,116,629,973,809,150,685,020,
282,348,765,106,985,900,196,111,328,248,625,428,910,831,611,624,948,359,223,
935,817,988,619,264,343,883,917,341,104,060,119,915,133,333,093,444,868,222,
706,258,799,823,441,740,771,343,437,383,533,234,591,073,442,882,563,781,684,
089,276,815,389,517,928,401,670,635,439,592,399,576,767,982,187,125,356,117,
838,726,807,116,883,548,161,469,584,572,452,509,535,283,812,003,459,282,493,
562,038,691,221,414,497,342,760,668,403,043,395,728,629,581,554,528,633,981,
498,015,678,401,077,211,897,332,182,841,034,281,784,083,646,870,239,902,776,
314,484,056,898,530,200,310,290,604,955,866,534,309,759,767,579,123,938,285,
418,786,120,272,102,447,900,279,577,084,109,101,484,443,002,870,578,477,506,
790,450,267,250,221,124,175,200,283,820,172,128,715,258,323,662,766,038,270,
997,331,163,653,106,689,224,356,979,467,118,850,012,892,918,724,479,971,642,
637,273,771,253,229,282,360,652,226,675,372,075,343,721,036,229,576,468,101,
637,340,672,172,643,147,796,320,308,149,856,328,896,045,878,201,704,721,575,
333,466,120,094,492,672,148,091,958,327,073,569,092,004,159,519,510,616,642,
451,931,221,970,886,761,157,560,773,522,872,399,971,056,482,460,838,421,831,
001,343,155,617,230,786,542,867,040,219,789,308,191,009,505,193,297,204,138,
800,659,252,508,146,973,606,475,586,992,843,425,674,751,885,471,711,791,693,
303,174,026,641,374,675,531,243,512,800,529,666,792,080,012,571,912,098,766,
222,971,410,384,417,531,452,944,885,310,294,438,867,794,607,530,737,382,139,
475,344,634,293,347,293,407,340,566,820,548,332,843,122,019,371,778,495,997,
969,609,703,971,469,015,430,926,055,885,497,006,665,609,363,372,758,153,175,
580,080,182,148,960,397,679,970,355,719,415,976,760,274,666,784,151,153,350,
120,609,656,969,898,974,942,394,901,312,087,702,821,146,682,101,224,162,734,
024,254,713,646,452,100,288,421,177,597,328,297,103,169,148,612,141,595,160,
841,659,008,651,744,889,228,804,799,887,819,886,711,075,371,775,492,908,963,
685,182,829,995,752,262,865,911,951,241,798,804,275,947,146,298,420,106,817,
113,744,649,791,588,326,997,428,947,930,102,991,734,803,034,593,304,221,540,
117,592,046,641,478,863,201,730,601,844,337,812,322,243,393,193,391,208,874,
481,281,191,169,251,736,466,214,219,823,217,093,614,526,897,714,692,246,154,
627,688,901,001,904,365,398,167,951,457,982,942,923,499,575,577,020,748,603,
770,791,991,817,156,528,294,131,414,237,600,792,246,486,033,508,587,159,045,
770,855,818,533,639,137,733,963,572,059,251,549,944,465,071,136,264,709,291,
050,316,989,802,301,742,494,503,831,499,993,301,429,284,179,042,183,557,188,
552,965,612,873,548,796,171,644,167,260,173,788,040,212,942,903,850,257,110,
567,665,794,356,885,866,462,770,620,582,261,788,077,855,151,263,175,835,571,
957,826,043,167,857,757,979,066,756,641,448,996,362,418,930,141,757,385,533,
713,896,066,427,065,501,559,992,216,897,714,994,798,971,507,390,145,455,498,
581,059,750,109,491,693,390,989,277,726,703,900,649,437,173,256,008,666,706,
224,908,194,633,660,463,645,000,654,729,538,298,025,509,898,879,114,360,822,
552,070,178,527,194,743,062,495,324,307,914,840,861,529,803,229,023,449,641,
964,244,893,962,566,876,603,283,958,837,017,725,019,427,612,016,517,593,347,
651,274,629,251,518,117,028,831,942,990,801,283,469,572,503,156,032,806,448,
899,794,315,272,561,831,054,679,378,148,906,008,581,266,217,475,136,142,031,
871,701,717,369,817,869,026,911,030,147,616,750,071,030,930,569,553,802,137,
223,022,428,927,513,923,729,288,477,339,628,526,056,047,739,178,236,268,176,
382,891,757,279,399,250,633,147,863,759,801,684,642,002,146,311,765,084,401,
233,772,565,633,377,061,492,677,574,377,124,469,606,130,161,388,635,557,155,
591,165,058,991,223,096,694,388,907,408,638,430,238,593,086,195,770,047,804,
570,202,611,459,058,207,761,205,764,002,421,827,999,378,484,193,141,233,469,
345,453,749,899,584,819,560,729,401,013,072,904,082,409,660,808,267,627,248,
825,029,901,432,002,830,365,236,972,471,744,391,881,370,632,409,169,743,495,
531,264,071,542,354,035,801,689,552,724,942,877,786,706,768,046,908,601,916,
443,384,981,882,434,429,304,165,816,488,144,767,537,449,496,557,098,676,173,
363,022,877,229,533,799,483,813,074,756,084,882,342,943,855,516,933,417,360,
626,485,721,211,199,186,348,463,036,089,123,653,764,895,778,779,405,108,655,
531,920,231,289,349,980,492,388,486,439,773,527,145,676,223,629,956,651,473,
392,095,342,241,326,424,097,452,212,095,346,297,222,920,005,129,176,464,657,
264,066,000,104,044,091,965,174,509,426,491,073,549,920,483,433,287,894,884,
429,501,141,054,995,217,103,627,298,340,081,413,210,765,761,022,892,263,976,
741,859,309,895,161,476,149,220,433,794,143,153,434,125,980,720,946,866,708,
337,811,152,841,382,658,524,819,583,781,033,880,469,592,668,076,084,918,679,
045,347,699,018,227,625,763,895,363,484,571,612,257,761,368,019,024,260,975,
721,475,704,406,670,830,127,065,528,923,455,930,742,498,336,581,340,593,771,
915,418,062,518,143,616,283,057,303,239,603,384,834,113,744,710,859,086,789,
948,129,327,039,755,622,911,152,945,543,045,161,545,461,959,030,731,753,194,
937,710,620,667,429,582,234,718,749,214,616,425,059,441,619,803,527,494,504,
862,055,088,177,856,168,184,094,331,928,657,528,404,093,712,542,982,042,437,
029,319,557,764,435,415,899,824,239,144,502,726,373,809,532,679,687,072,434,
386,756,583,743,259,807,174,368,044,828,273,549,414,242,910,416,359,039,539,
691,257,513,217,788,738,562,553,307,552,571,606,501,051,334,481,297,722,733,
714,727,487,507,624,586,472,943,996,599,802,573,643,031,660,114,430,942,882,
133,843,782,646,058,865,624,315,616,158,756,814,812,390,039,510,632,931,241,
476,197,730,850,333,912,281,118,052,606,339,085,672,562,550,480,903,799,268,
844,638,375,892,835,858,521,306,670,631,737,370,166,221,817,303,885,388,550,
237,140,979,406,021,518,622,502,362,975,140,133,814,404,675,278,029,511,339,
595,789,710,680,392,021,246,354,341,444,256,998,302,390,603,290,328,655,865,
633,950,678,337,095,725,837,447,695,270,641,961,122,539,593,973,806,116,485,
626,991,118,323,273,642,477,222,644,726,528,136,998,090,642,389,794,472,577,
907,914,623,316,714,376,106,045,935,717,521,321,253,625,194,137,270,984,075,
593,014,371,770,951,600,949,845,010,547,076,024,604,171,464,472,982,183,913,
731,735,449,530,684,199,651,746,369,154,222,596,815,455,946,260,274,768,221,
783,103,288,568,933,301,005,628,152,621,053,630,727,803,870,095,013,774,284,
749,276,331,650,929,068,616,197,244,631,247,520,180,896,471,751,975,289,360,
124,516,535,662,175,270,462,345,510,163,408,605,616,456,574,539,720,618,368,
276,004,083,989,099,844,852,692,670,764,047,148,466,179,376,713,498,488,200,
177,534,780,397,403,352,453,477,469,584,158,476,580,886,716,276,349,113,884,
587,832,314,188,305,714,909,740,138,754,513,588,793,887,897,626,721,481,050,
022,115,251,701,741,452,612,836,151,870,037,441,785,312,673,559,574,793,699,
855,368,076,918,425,560,168,188,529,102,098,410,841,509,551,616,334,242,222,
748,136,991,338,930,809,022,104,809,832,789,384,804,126,020,817,112,177,619,
293,228,415,060,911,206,574,834,602,652,170,573,966,907,471,937,737,920,474,
958,533,646,936,313,522,506,053,307,499,029,803,074,970,000,482,470,005,727,
636,373,980,765,655,256,571,917,169,471,025,330,730,118,955,048,164,991,531,
686,321,253,184,892,832,364,293,226,959,152,686,602,726,092,667,271,382,532,
416,849,318,733,911,167,068,372,035,923,250,183,845,434,382,536,131,845,765,
736,634,998,159,446,639,361,071,813,705,585,745,415,735,581,414,628,710,897,
366,117,172,248,819,544,602,065,898,295,880,817,328,207,231,940,844,464,902,
128,728,684,846,203,145,096,738,251,434,719,352,646,757,649,620,049,525,131,
588,301,545,527,786,723,376,743,567,290,086,652,045,687,774,339,660,327,644,
882,414,810,171,799,725,590,100,743,792,522,344,686,313,924,312,093,176,749,
223,654,502,943,552,979,240,574,982,033,267,326,960,702,116,082,857,324,405,
168,915,665,913,097,105,524,146,176,917,058,525,746,901,708,158,255,873,195,
292,676,289,072,418,558,042,065,001,646,759,238,946,265,918,499,507,058,040,
194,645,670,668,092,925,680,789,308,455,255,871,016,977,688,418,589,903,846,
893,530,322,765,630,245,942,580,980,454,403,321,129,210,924,695,958,829,922,
623,658,650,213,806,454,178,929,969,943,732,492,947,439,787,474,979,172,531,
275,149,111,721,861,847,997,518,247,562,662,828,782,985,459,665,468,016,476,
369,227,740,964,881,958,488,340,091,074,928,089,161,435,424,902,366,913,533,
718,442,733,910,312,676,253,378,077,266,957,680,111,567,631,664,214,957,043,
447,434,478,119,148,796,407,459,168,272,542,696,956,412,210,048,201,042,459,
160,813,206,792,018,695,560,630,420,234,569,131,652,711,775,967,587,774,197,
567,963,518,406,222,125,495,920,683,822,933,137,943,371,285,443,384,917,229,
103,478,571,734,541,014,047,749,078,439,666,570,596,056,851,896,713,267,243,
277,323,747,446,564,901,983,686,095,718,741,930,467,966,434,734,245,705,720,
017,268,706,330,822,455,237,002,146,759,043,122,110,814,931,099,265,648,874,
719,925,417,871,401,395,582,957,935,191,060,435,157,592,454,560,676,413,223,
199,934,263,821,053,801,402,222,590,289,943,633,671,699,629,028,897,342,913,
894,018,863,620,689,722,967,149,067,068,657,649,032,664,314,078,793,293,780,
967,025,802,010,446,459,935,049,282,189,332,117,699,689,235,072,361,686,549,
057,225,331,916,211,123,456,454,284,940,001,227,827,819,266,773,302,939,230,
143,556,722,688,833,432,098,639,797,101,287,670,140,474,078,361,876,145,894,
872,269,240,835,433,146,202,253,878,024,098,434,062,345,061,049,142,832,421,
248,319,651,008,594,377,378,454,841,397,676,028,087,553,910,636,136,184,841,
161,989,532,696,312,549,588,756,373,992,963,036,758,485,813,161,523,465,127,
150,102,120,344,047,024,982,275,904,765,789,896,844,553,473,765,168,829,474,
531,857,925,932,295,201,075,338,191,687,520,005,710,560,171,480,690,215,264,
739,960,998,170,583,076,471,416,742,548,245,217,679,140,645,290,144,787,714,
648,477,312,286,767,556,281,696,088,585,829,293,245,136,841,738,910,770,311,
941,077,494,853,808,424,024,168,908,000,160,482,385,536,599,646,384,346,761,
045,655,462,099,478,642,839,392,076,305,903,572,487,191,856,401,098,885,926,
104,138,572,897,416,165,357,235,283,105,070,459,828,047,318,649,600,074,063,
223,457,383,214,096,637,645,399,697,320,608,448,294,596,683,670,730,598,331,
704,726,502,427,595,617,951,200,540,476,561,675,793,907,180,056,238,657,047,
841,807,411,577,293,903,586,962,438,040,358,154,362,073,192,053,937,301,518,
890,654,340,580,820,311,630,344,439,253,893,315,926,501,589,332,596,222,707,
818,142,141,069,577,500,214,348,051,224,085,282,205,231,433,372,422,231,856,
758,504,815,023,581,056,878,951,202,198,623,953,782,434,468,750,758,865,736,
005,928,218,923,656,817,120,382,810,873,027,472,866,624,341,076,540,607,917,
902,239,342,077,862,284,952,822,461,710,123,819,866,222,511,503,364,999,207,
599,857,187,948,050,650,379,998,871,063,824,282,394,885,945,879,582,105,174,
721,727,116,730,246,087,364,249,928,435,223,656,050,380,745,102,936,650,916,
359,723,968,457,074,423,894,194,703,793,621,416,114,012,930,953,955,175,430,
165,740,315,793,164,559,191,381,328,939,772,809,564,243,632,713,586,877,896,
870,042,815,516,750,840,591,911,358,459,096,653,642,678,415,024,248,464,598,
907,203,591,089,678,109,107,243,679,868,469,185,085,661,011,122,069,601,005,
272,226,423,770,371,145,393,693,381,713,077,412,085,568,752,978,457,037,598,
738,312,318,531,478,188,510,458,598,330,083,829,649,579,608,586,040,249,944,
460,222,840,105,987,516,200,613,345,949,639,384,395,939,687,273,685,924,845,
493,792,975,053,388,511,114,583,691,264,017,860,371,273,415,210,994,370,440,
437,595,267,913,431,694,205,654,546,702,628,690,307,115,723,746,210,859,147,
364,778,312,548,499,845,792,181,928,063,411,303,814,576,804,534,153,327,617,
173,375,942,623,664,411,741,014,073,794,514,647,227,720,924,528,848,176,217,
800,665,533,574,368,631,509,446,480,097,175,855,569,383,522,889,839,350,102,
255,994,039,939,888,384,132,751,123,638,764,623,066,984,894,819,465,445,385,
059,107,818,095,617,086,603,138,031,623,487,804,104,591,105,491,126,233,814,
023,804,274,547,391,835,974,629,180,447,463,379,622,113,040,486,073,116,058,
181,742,650,325,414,028,417,521,512,307,801,364,450,912,976,823,289,994,906,
898,112,595,444,917,856,286,090,461,450,484,770,727,980,433,121,491,216,619,
019,061,140,163,121,130,456,580,476,726,886,669,654,008,064,458,077,509,313,
957,396,823,465,789,024,987,130,333,768,948,990,989,160,822,399,449,470,150,
134,164,306,112,020,081,799,479,500,135,805,738,523,980,188,431,456,356,402,
296,274,271,246,413,968,209,707,901,734,063,511,347,646,405,399,841,694,759,
076,350,225,403,587,468,858,843,894,286,633,428,962,340,332,681,576,700,202,
903,090,993,944,401,402,484,238,879,023,656,844,168,421,825,472,189,704,773,
762,120,403,342,817,300,050,197,545,106,517,327,418,916,362,976,700,131,381,
471,033,276,904,418,095,230,326,149,486,672,334,610,404,721,223,177,344,232,
322,970,475,733,032,148,529,099,578,760,579,788,445,984,541,980,891,612,849,
869,562,346,023,983,334,621,579,298,421,966,208,920,996,738,852,646,963,638,
950,160,587,666,260,716,704,116,261,249,563,461,716,464,146,814,210,783,514,
363,154,407,082,848,183,986,225,941,296,015,956,230,829,309,749,063,451,139,
363,137,722,081,236,657,631,475,802,813,982,509,057,148,057,430,508,423,964,
979,759,879,859,201,458,152,171,787,707,954,200,329,180,602,818,040,159,476,
906,900,141,600,339,207,677,245,468,177,937,102,539,714,512,453,978,390,245,
280,156,764,316,380,691,885,726,988,409,874,989,295,871,565,957,183,282,609,
600,733,071,053,707,088,709,847,629,772,925,881,285,317,093,386,991,304,471,
862,589,449,531,117,459,909,250,744,690,226,820,242,732,174,196,617,050,103,
431,625,361,659,648,795,694,107,562,629,301,488,205,236,255,926,830,955,965,
967,819,174,832,253,649,344,159,213,864,656,087,096,677,959,692,286,320,636,
532,523,383,724,650,470,403,447,169,230,006,444,559,678,001,061,566,933,928,
229,681,019,179,565,029,931,196,674,120,496,850,705,859,119,577,994,003,502,
961,741,171,548,926,035,080,089,454,093,583,783,264,728,740,035,778,816,118,
768,343,468,142,163,086,410,202,205,774,501,124,213,605,534,151,147,208,629,
279,670,576,266,278,070,615,082,650,557,434,802,006,241,854,746,059,315,492,
143,524,965,706,909,151,523,141,230,798,756,458,053,532,683,299,104,794,316,
494,204,940,175,956,833,414,983,691,505,166,925,366,479,808,287,127,105,008,
887,427,265,465,977,385,900,039,697,117,340,033,938,496,572,644,475,071,032,
066,925,822,679,491,043,488,774,938,703,986,952,347,284,172,611,281,070,222,
108,515,037,617,000,085,304,340,124,271,152,308,564,074,611,694,808,736,560,
481,520,264,392,147,363,699,429,025,573,609,818,205,814,186,582,090,576,610,
820,999,625,422,513,860,579,157,251,162,178,407,431,056,510,661,663,251,154,
857,978,394,110,735,505,380,101,586,191,213,756,836,443,163,661,431,664,769,
356,124,743,067,980,679,313,648,261,393,007,057,791,682,822,268,378,473,950,
147,614,110,143,766,090,854,757,245,121,916,762,624,419,111,995,822,491,968,
800,291,530,041,114,075,417,532,829,888,274,919,925,222,829,027,596,858,440,
810,356,200,746,582,598,413,228,784,588,019,853,523,822,089,197,192,924,075,
770,050,444,108,230,918,002,867,588,251,833,964,167,594,321,308,917,142,282,
923,780,086,526,332,807,671,532,498,537,563,710,156,295,718,857,588,559,437,
837,417,163,084,905,588,335,453,862,271,621,500,833,389,036,267,270,954,246,
145,499,365,533,575,738,164,490,317,759,656,864,247,284,724,578,469,967,952,
980,517,012,889,047,814,503,612,323,194,775,012,424,689,954,333,871,005,114,
265,697,999,866,374,531,709,537,324,965,128,131,018,185,722,270,475,105,340,
479,426,494,083,398,496,060,699,485,775,179,537,873,226,096,467,809,097,878,
570,206,491,405,781,495,183,424,320,848,050,589,658,248,926,728,009,792,411,
189,064,273,549,517,872,381,575,861,625,750,172,254,255,863,600,538,154,305,
969,250,979,151,814,317,478,451,743,684,707,587,928,114,740,909,907,260,858,
957,982,710,867,774,774,505,010,426,024,185,054,096,716,351,841,356,427,588,
549,080,700,163,170,192,820,519,251,014,538,486,424,872,439,163,757,268,026,
313,472,368,812,669,956,385,208,836,721,135,249,539,503,176,151,935,939,299,
539,711,827,008,229,081,500,576,904,259,712,832,759,437,288,766,690,853,526,
952,485,630,760,447,928,712,680,285,173,641,336,540,756,610,035,368,565,947,
058,957,043,419,198,375,460,937,535,213,901,091,178,600,847,747,911,852,831,
791,145,473,923,742,117,236,814,667,042,593,125,095,461,986,742,488,436,326,
494,238,908,308,728,896,950,715,355,191,518,737,876,642,855,359,986,104,995,
402,700,893,406,900,547,544,740,658,945,499,432,754,945,182,712,768,232,660,
391,573,597,759,701,758,946,954,024,844,905,663,756,387,971,542,641,767,575,
314,227,347,932,258,769,329,900,239,236,370,523,479,133,980,175,657,921,045,
388,208,009,496,995,307,993,739,723,994,679,853,677,684,814,457,742,277,343,
758,282,622,461,095,069,674,902,017,846,230,382,882,645,027,578,010,821,351,
860,805,984,060,038,256,200,853,304,367,176,846,918,715,920,951,519,836,227,
804,764,633,944,429,756,212,988,873,263,230,948,562,922,448,519,857,107,245,
821,108,885,944,395,983,880,683,263,506,963,612,568,643,435,634,617,717,918,
175,316,916,534,571,015,291,927,996,021,404,672,283,489,129,363,910,826,217,
802,968,837,631,258,555,340,827,447,437,760,785,550,615,378,829,546,365,371,
863,827,619,353,792,698,621,688,592,547,146,235,460,646,355,685,441,458,825,
105,768,273,892,406,032,251,919,652,468,213,670,287,475,223,281,053,044,448,
741,797,624,632,944,800,771,306,489,331,753,449,461,643,609,339,586,950,253,
965,592,749,048,100,333,887,651,003,703,567,382,337,882,406,610,075,727,060,
641,987,264,101,280,864,129,725,429,106,961,590,476,057,113,209,521,499,229,
710,684,113,173,892,033,695,493,900,129,780,243,161,009,809,918,871,969,034,
716,219,340,072,191,865,893,729,554,830,917,387,320,506,060,986,196,085,820,
573,164,156,230,851,525,099,676,224,255,349,487,514,186,747,497,531,995,068,
373,355,253,657,349,461,020,538,131,321,028,925,787,787,191,089,645,069,458,
180,922,636,230,486,750,096,284,808,691,224,774,495,489,230,663,805,899,266,
749,374,079,248,997,511,191,577,060,311,960,544,911,846,492,082,553,958,334,
113,626,167,893,163,816,850,313,921,367,832,054,076,471,086,317,713,045,643,
523,250,319,971,925,589,817,664,269,545,348,704,707,131,505,981,311,880,553,
188,818,046,567,916,171,305,820,159,624,953,975,920,978,053,168,366,871,386,
258,904,223,190,478,122,524,431,305,990,029,122,886,447,818,736,211,075,928,
193,548,720,467,512,971,411,522,321,234,415,743,976,781,082,078,991,694,651,
503,200,700,771,673,432,486,499,922,375,108,567,389,366,452,828,516,710,365,
869,255,581,541,080,954,356,927,105,594,691,145,512,000,204,955,124,814,191,
996,088,194,350,214,854,527,662,254,668,777,085,289,759,766,356,386,115,946,
311,504,976,742,786,917,511,987,278,180,385,881,155,339,525,788,293,748,697,
129,654,824,652,458,618,306,912,722,707,818,126,025,784,465,599,428,932,452,
059,238,504,530,590,002,859,013,272,605,403,194,812,302,007,989,301,991,128,
085,280,381,412,382,376,644,316,368,802,431,220,438,291,231,583,360,112,261,
274,649,540,574,284,814,056,963,053,845,494,798,625,777,608,227,194,702,409,
284,602,034,598,675,813,875,105,194,766,035,331,077,846,031,058,127,066,677,
280,565,139,962,770,089,518,455,096,409,465,531,280,730,417,462,498,746,984,
319,901,008,020,260,897,966,122,818,194,644,127,995,536,542,692,400,688,211,
221,370,529,985,635,335,581,012,785,408,097,625,281,570,626,663,051,199,757,
928,630,395,531,928,346,085,141,957,189,419,490,650,181,477,505,195,679,697,
976,754,906,737,038,189,470,035,767,080,360,268,891,356,499,564,236,179,777,
953,638,678,036,495,216,361,760,232,541,936,665,790,091,227,735,125,939,722,
367,953,381,179,015,829,573,750,584,585,013,031,227,432,713,367,383,777,006,
002,720,723,262,487,095,387,812,355,745,838,396,405,501,862,997,739,042,351,
858,266,307,624,518,485,008,857,414,630,795,537,897,038,091,850,255,195,394,
511,397,500,249,303,399,049,497,307,368,147,811,477,427,548,436,582,257,533,
022,750,684,303,135,134,385,160,979,128,797,992,319,165,370,384,702,141,520,
087,521,504,942,587,547,571,738,798,676,069,815,675,627,670,129,228,021,749,
327,592,289,991,087,794,024,851,218,396,113,723,870,515,524,956,253,107,641,
561,005,581,013,138,743,165,956,230,734,573,394,532,305,946,830,744,068,119,
214,933,774,649,050,916,141,640,751,879,948,128,917,753,009,078,656,281,652,
345,567,966,079,798,747,720,760,383,164,932,981,799,704,841,590,816,532,050,
767,808,862,216,640,443,974,170,009,415,145,494,755,026,736,693,380,429,448,
748,444,447,519,808,725,922,585,130,893,011,495,526,890,317,533,189,347,238,
367,453,915,521,414,398,086,687,799,335,600,770,423,116,963,564,196,976,720,
726,585,413,013,996,644,341,571,158,917,566,453,333,471,547,299,768,602,712,
822,958,250,159,589,842,827,595,552,444,133,029,392,636,502,667,218,861,729,
081,573,554,483,713,012,039,516,391,377,473,500,432,003,065,369,489,360,528,
091,749,758,242,225,178,927,172,897,514,435,895,759,183,602,539,997,106,337,
743,685,855,003,816,258,212,243,871,149,104,443,981,028,368,007,221,723,145,
166,382,203,725,727,902,029,609,428,641,823,359,555,793,498,420,819,572,871,
091,676,325,918,941,605,125,663,269,476,295,259,835,924,778,027,426,745,266,
467,271,815,645,319,352,195,026,482,555,528,698,951,684,785,914,453,309,122,
381,033,991,747,182,784,499,694,602,281,120,632,378,916,753,205,020,291,370,
557,965,080,032,744,874,755,703,074,124,739,484,085,885,841,564,927,846,244,
705,754,870,737,609,109,793,855,384,758,277,075,266,216,558,606,099,999,866,
930,277,258,495,036,654,992,840,086,445,078,353,258,042,182,088,214,865,125,
250,603,684,323,204,155,604,279,009,145,072,286,496,200,825,177,484,779,653,
186,923,164,327,919,408,980,209,548,342,449,402,918,228,534,772,207,182,475,
209,241,202,273,036,143,769,467,799,430,635,726,506,460,611,990,430,325,467,
088,899,441,593,981,657,538,338,077,933,068,872,341,133,615,206,011,609,992,
150,215,858,637,518,754,668,502,614,808,906,983,174,589,567,578,319,430,585,
186,916,662,480,906,398,630,645,440,018,777,497,977,408,151,524,444,999,124,
109,067,431,355,421,079,080,852,093,770,785,972,003,842,919,783,561,787,959,
237,676,694,152,346,531,006,581,149,776,260,303,959,827,118,012,043,089,590,
586,509,905,828,706,731,499,421,237,505,660,658,632,252,110,671,673,382,714,
806,294,364,547,496,984,074,802,979,194,174,137,584,352,965,646,282,694,989,
448,651,986,887,516,689,146,766,740,132,626,973,659,517,350,426,084,069,904,
658,096,245,503,864,222,757,424,225,421,459,337,079,422,922,310,866,198,016,
698,413,415,088,505,229,710,651,865,715,239,205,566,182,366,737,164,942,647,
565,723,313,359,806,487,345,188,612,260,811,911,377,123,006,583,820,741,770,
579,739,146,840,935,809,590,879,494,841,832,842,265,178,591,403,312,417,481,
424,393,610,271,193,533,768,128,641,938,412,176,610,156,139,279,598,110,778,
310,538,890,334,048,454,885,506,286,943,016,433,636,303,650,506,816,771,287,
054,204,737,889,271,599,873,422,633,539,509,838,236,436,877,671,688,377,543,
547,211,825,266,945,645,743,782,859,869,043,863,977,604,278,748,145,612,647,
613,403,507,184,589,453,964,113,138,068,071,538,005,506,640,276,136,139,556,
923,939,470,989,731,281,232,704,703,389,708,692,887,252,240,804,354,482,530,
544,954,503,888,223,427,923,199,185,578,730,020,563,465,614,214,493,231,589,
811,751,211,616,321,698,602,710,832,177,894,911,842,919,459,748,156,593,489,
635,501,755,077,907,605,414,261,112,695,663,193,338,992,318,516,523,241,967,
099,563,568,189,283,459,749,667,146,362,960,276,997,785,798,273,022,133,281,
839,973,404,651,082,812,741,084,661,496,693,061,582,003,282,015,689,374,986,
292,795,275,702,937,123,774,533,921,820,926,685,257,731,681,241,833,086,474,
481,485,487,211,151,362,705,207,151,543,493,357,799,712,974,469,256,864,343,
863,796,927,628,481,963,902,857,112,052,613,081,582,534,042,954,616,979,816,
418,617,436,651,116,649,309,435,021,355,294,807,468,502,741,290,679,545,869,
180,266,293,922,490,469,790,984,211,355,869,540,724,173,442,265,852,713,732,
951,734,186,398,135,077,076,993,593,420,041,052,911,635,525,699,659,525,764,
683,548,838,753,996,066,629,701,793,713,753,085,927,911,341,133,695,200,916,
402,448,828,842,278,039,488,638,734,484,510,341,871,690,902,459,490,442,079,
332,170,630,550,473,164,551,634,305,472,325,239,347,517,705,280,859,743,747,
528,514,058,425,249,109,388,042,596,819,406,118,162,572,247,952,495,185,140,
236,995,626,389,400,284,588,132,433,154,345,193,450,208,542,641,726,486,492,
084,014,482,126,902,091,182,688,182,311,201,740,413,790,091,017,383,895,716,
355,972,826,985,930,282,318,549,318,405,775,546,499,421,171,177,965,131,508,
928,240,141,307,147,729,009,176,176,939,832,667,746,852,524,997,771,184,029,
669,912,381,021,094,715,023,547,249,283,018,779,932,668,333,212,672,705,583,
443,454,882,597,010,412,611,899,805,991,701,746,571,529,955,825,825,896,783,
421,360,022,451,066,040,631,156,116,342,509,513,697,528,773,647,003,095,879,
272,805,170,320,999,190,507,414,642,371,125,646,732,822,979,247,761,885,198,
655,316,472,695,907,784,199,945,753,002,314,636,069,718,643,935,381,044,207,
155,837,379,202,077,353,292,029,120,842,206,620,842,606,916,947,137,499,295,
545,247,553,764,602,567,814,979,149,484,158,758,265,200,394,746,214,452,945,
972,688,623,680,794,860,747,535,603,974,360,559,839,046,229,504,499,912,742,
328,235,603,658,989,318,891,999,528,639,868,562,028,063,198,797,010,846,568,
802,792,417,429,922,237,884,606,798,445,152,572,805,188,024,758,950,287,965,
372,956,931,266,016,903,973,553,649,720,482,180,784,411,377,795,415,634,891,
895,390,596,209,010,145,935,327,715,372,349,449,267,852,981,817,453,423,258,
471,038,959,890,110,443,417,281,403,906,277,949,565,289,491,722,935,537,494,
267,086,001,670,699,653,244,252,239,233,454,045,261,270,269,930,052,068,810,
922,891,506,046,719,564,175,892,598,871,481,333,604,128,317,021,819,926,648,
698,931,697,425,152,964,302,493,844,437,930,064,466,056,584,700,803,827,988,
223,107,079,634,427,313,545,354,627,184,521,230,339,230,067,236,375,402,233,
067,339,466,317,835,123,975,927,624,626,526,291,516,047,817,270,871,901,240,
077,081,097,450,982,548,665,019,583,503,431,591,281,563,738,666,776,983,410,
430,513,784,092,006,665,947,990,791,582,949,289,286,861,997,725,456,621,088,
633,642,015,349,162,484,678,418,337,091,224,658,126,714,831,255,164,856,396,
065,390,153,765,774,758,578,196,166,477,237,952,168,217,081,751,532,604,334,
743,987,602,293,412,091,634,383,792,543,731,797,380,429,953,816,013,550,163,
718,893,362,303,577,468,871,949,578,104,298,635,823,512,333,650,304,800,953,
137,619,214,883,157,499,616,148,700,793,614,053,906,377,145,362,954,241,160,
837,481,269,767,758,796,440,538,837,467,766,087,950,227,273,356,078,046,875,
112,990,987,467,635,337,047,083,586,695,726,634,637,836,175,248,291,417,908,
603,811,412,598,633,839,538,040,428,669,904,198,394,497,795,371,906,255,588,
101,860,974,523,344,352,620,110,960,598,534,050,848,524,069,086,775,350,888,
633,232,561,604,989,003,258,503,951,651,669,931,668,079,884,308,452,482,792,
757,660,804,413,842,319,900,651,128,279,706,208,288,492,854,025,508,348,338,
707,315,339,191,573,804,473,532,649,331,995,874,335,343,213,635,756,735,349,
192,574,478,090,872,071,083,934,947,876,794,963,435,913,300,013,984,186,530,
667,857,659,874,411,281,262,205,648,941,744,626,334,578,690,453,951,752,036,
086,937,629,335,772,590,181,705,226,272,226,493,898,198,931,479,284,988,341,
742,367,276,651,522,486,309,241,037,235,402,044,109,021,252,483,615,032,795,
969,463,577,297,041,684,971,188,025,691,139,883,553,709,857,195,531,208,363,
443,602,969,891,485,640,922,347,162,062,198,132,867,004,145,543,448,210,761,
516,702,581,018,628,764,190,268,754,133,736,724,255,736,326,557,851,945,857,
613,721,427,152,311,556,847,575,370,088,461,416,932,282,982,058,822,997,909,
968,938,218,755,357,082,691,894,979,834,817,524,421,805,058,982,152,127,504,
091,561,277,926,963,581,202,848,429,110,691,394,428,539,968,560,356,170,587,
631,173,210,819,116,992,314,831,115,784,602,663,063,645,652,544,579,470,213,
793,316,007,157,254,909,607,024,598,192,463,415,275,710,811,513,157,186,180,
308,445,912,396,952,316,618,542,172,666,286,749,032,929,548,655,396,714,776,
082,892,345,720,528,497,012,477,425,299,518,780,303,239,357,700,315,759,547,
560,303,580,606,507,481,656,807,236,578,620,144,303,163,752,365,359,566,238,
237,647,538,729,106,477,220,054,352,311,928,595,353,766,000,735,575,209,146,
796,739,552,036,501,803,071,789,349,602,574,032,027,520,500,478,201,832,528,
345,848,167,138,917,184,377,142,152,295,767,810,851,100,118,676,532,497,773,
694,375,272,406,629,924,708,278,664,383,543,213,637,795,543,150,481,388,234,
709,667,796,596,438,055,838,875,030,420,591,416,786,966,666,595,989,752,760,
976,556,334,775,140,135,287,369,833,495,442,882,625,103,015,539,206,737,374,
749,791,297,189,344,781,226,756,203,701,531,321,625,537,218,264,139,403,675,
211,482,907,379,174,589,747,037,815,759,652,049,871,415,081,620,159,766,714,
723,452,971,248,626,297,764,118,711,882,239,754,085,700,779,546,319,127,175,
485,440,654,414,593,416,462,017,825,309,734,571,647,612,892,139,537,187,035,
801,368,756,640,754,597,196,637,090,813,126,548,689,603,684,836,865,040,424,
930,011,077,967,476,431,881,546,160,855,931,032,679,790,176,519,364,320,320,
840,059,518,151,195,714,376,758,246,262,762,650,481,071,247,580,741,211,765,
130,345,985,354,604,797,516,783,580,734,102,092,919,179,822,080,649,491,388,
478,566,451,463,690,519,207,763,194,376,830,533,611,593,031,892,624,123,827,
703,804,770,386,776,627,812,850,391,808,617,714,178,188,908,915,327,831,743,
219,442,768,785,964,986,535,733,070,790,370,130,348,355,627,600,115,229,028,
268,706,527,109,256,589,824,875,819,527,900,518,400,738,621,771,212,790,049,
723,375,297,559,244,480,410,475,485,717,167,675,500,648,686,085,787,361,405,
571,558,403,484,835,218,396,709,278,439,925,641,870,519,558,950,133,402,428,
236,117,473,090,069,407,280,761,710,084,606,353,254,898,024,377,852,099,086,
841,400,343,734,893,575,677,462,397,340,435,739,191,534,898,736,883,474,774,
234,317,548,737,219,615,746,674,105,238,181,933,305,289,148,174,706,407,707,
013,514,873,015,954,021,547,868,732,835,411,409,003,292,966,374,447,378,705,
563,902,008,158,879,427,074,891,858,071,425,915,059,315,057,201,329,048,049,
264,928,723,778,633,423,698,794,366,165,070,188,647,001,692,193,363,065,168,
647,164,758,163,550,937,431,730,215,419,472,160,996,464,285,826,197,071,766,
912,107,634,996,992,122,284,446,743,292,226,567,857,193,800,839,122,141,244,
202,646,187,757,418,525,548,934,631,987,135,292,183,431,477,781,993,480,750,
573,642,459,741,753,970,088,701,093,844,330,239,237,662,210,714,437,089,135,
690,284,282,065,345,308,432,206,380,691,780,984,053,962,686,349,424,825,282,
618,463,688,634,704,711,032,030,095,778,585,306,042,356,606,912,695,047,177,
696,199,560,548,467,252,717,292,197,929,874,248,648,107,143,031,074,869,528,
333,893,459,301,662,333,439,271,174,172,876,681,144,723,974,802,637,495,529,
207,310,514,816,032,210,942,971,568,723,563,415,569,277,120,149,183,505,293,
416,722,902,687,851,053,792,837,633,404,729,850,300,307,713,375,443,329,355,
183,379,981,238,758,247,451,675,512,623,418,471,114,112,958,257,125,839,544,
859,849,233,638,717,149,207,414,460,481,463,542,405,515,684,148,846,243,931,
397,588,146,956,952,795,567,186,677,521,324,913,623,385,980,863,037,946,762,
406,355,557,256,205,611,992,189,510,568,726,447,084,941,960,955,960,349,517,
980,636,904,898,613,251,296,480,897,107,032,572,610,850,953,122,339,459,639,
186,375,368,521,528,848,183,531,423,515,136,324,178,352,329,516,551,709,541,
846,414,805,235,653,183,573,534,200,938,051,244,884,159,255,864,441,292,727,
632,055,546,744,268,330,057,054,426,339,507,081,461,088,990,658,451,842,868,
219,509,240,009,013,718,698,071,912,129,902,885,920,132,377,441,167,281,936,
400,383,179,687,044,515,493,404,801,320,250,615,156,331,405,734,434,023,111,
466,414,003,459,011,370,732,605,203,202,589,244,093,664,648,592,307,430,971,
886,102,625,898,628,659,175,536,362,894,774,373,960,008,461,546,240,342,740,
065,547,967,299,778,192,196,965,894,285,575,912,327,325,781,748,665,574,881,
647,849,365,619,854,284,442,475,658,016,504,896,173,653,330,350,550,393,415,
089,120,003,836,534,021,450,709,237,072,901,684,468,608,081,871,125,241,983,
271,886,200,939,419,979,863,471,651,535,942,124,822,416,126,771,332,442,219,
590,165,224,705,426,294,368,584,463,172,904,877,005,005,940,493,242,819,325,
341,356,219,975,259,838,167,110,082,714,734,999,825,027,058,733,922,177,701,
094,813,773,914,737,050,826,583,941,344,272,910,243,364,232,473,545,921,324,
349,747,827,196,012,775,425,800,609,566,770,774,568,462,132,288,585,780,089,
181,989,765,615,857,279,896,982,976,765,758,666,007,239,713,850,916,861,212,
451,044,477,285,687,543,554,832,242,448,833,408,419,507,348,192,376,470,358,
645,447,826,804,146,045,321,689,106,946,602,591,232,686,133,147,171,065,941,
335,816,475,666,295,990,840,818,093,994,196,865,747,448,518,147,338,185,517,
010,994,433,301,070,473,305,255,117,227,123,453,801,265,773,527,544,344,445,
212,372,897,187,178,644,115,109,480,608,460,246,513,430,956,954,171,836,007,
550,522,825,693,049,778,253,954,636,366,114,634,110,211,261,300,429,558,533,
434,978,047,440,750,784,313,550,032,529,777,581,265,101,417,967,854,245,173,
904,000,502,901,037,151,567,877,006,655,330,546,802,815,983,573,028,025,127,
664,661,874,807,938,088,552,894,269,743,858,700,125,630,928,642,163,608,192,
340,660,046,669,672,988,304,512,673,582,729,162,195,833,284,458,313,452,776,
034,758,667,524,556,396,279,894,158,607,761,535,359,111,104,566,969,753,326,
304,757,627,235,070,504,377,828,387,499,278,140,873,275,208,198,834,315,603,
007,279,839,881,075,262,904,480,365,543,922,072,722,360,344,237,509,197,252,
163,737,958,335,319,795,510,545,510,655,677,216,321,450,812,394,677,039,257,
403,209,214,194,155,037,642,622,722,561,765,475,258,249,982,339,764,592,671,
614,027,516,797,072,394,244,192,548,898,999,685,278,656,911,036,484,824,040,
102,782,690,736,568,133,291,540,665,318,112,887,718,070,578,142,423,735,923,
553,768,465,620,799,048,689,436,645,503,983,499,563,820,487,682,444,818,243,
996,875,729,909,350,538,609,994,160,254,661,088,047,016,328,411,776,187,182,
994,377,164,720,276,308,247,065,470,314,908,780,286,198,474,199,849,679,205,
841,410,349,648,821,625,248,098,184,232,543,945,601,560,020,820,133,745,467,
337,419,949,795,159,334,845,114,104,194,266,148,759,347,814,104,812,635,354,
439,748,184,224,584,991,810,067,947,825,281,766,792,092,938,002,494,852,326,
020,042,220,962,050,208,727,659,083,106,288,455,063,167,961,933,865,547,358,
619,004,782,045,946,731,465,873,750,223,712,522,806,763,782,088,145,615,601,
373,911,431,670,208,496,795,995,476,837,546,003,076,466,946,495,008,274,411,
089,262,550,609,548,179,360,334,812,028,586,556,567,760,725,883,237,109,836,
202,611,047,566,630,307,510,808,933,994,779,357,275,337,181,164,747,719,260,
273,224,325,046,421,752,409,730,473,581,717,475,297,079,214,049,034,031,488,
339,822,157,511,922,925,677,098,484,582,358,218,577,509,543,108,080,966,984,
442,922,469,751,077,248,611,674,218,685,071,800,948,811,361,078,501,685,769,
268,923,466,883,619,742,115,435,331,045,602,886,030,205,450,805,094,922,885,
932,927,332,964,742,844,202,009,739,621,474,297,116,790,133,356,897,808,479,
454,687,904,958,397,177,837,404,769,176,206,836,358,118,298,806,462,668,063,
249,823,563,607,310,311,555,874,010,480,134,512,495,608,511,317,288,624,735,
203,326,531,108,869,165,936,979,957,156,003,918,863,833,969,546,679,977,535,
206,130,434,532,917,404,733,528,658,880,979,331,584,434,438,878,624,436,684,
566,642,921,041,994,658,347,282,378,866,404,230,274,884,412,957,661,502,384,
955,447,588,993,014,279,476,922,736,263,205,476,269,322,043,627,742,999,626,
915,244,473,070,242,863,683,545,483,154,941,685,319,832,733,357,620,510,616,
582,755,866,512,016,005,243,477,714,917,967,097,247,873,993,975,413,717,286,
897,240,193,004,178,692,565,434,062,933,265,836,561,391,001,315,824,672,441,
041,333,690,215,669,595,322,082,068,975,674,069,117,225,062,925,056,863,722,
012,593,448,478,417,389,328,644,227,854,902,312,381,933,826,541,815,460,345,
015,871,764,351,142,330,687,085,631,056,073,278,016,809,388,646,382,946,568,
342,144,772,722,044,421,893,667,964,965,936,302,978,939,696,359,892,815,403,
770,501,709,532,469,563,025,711,448,314,570,314,467,313,649,927,371,806,367,
998,478,694,551,114,785,844,552,481,918,095,291,346,449,249,004,078,647,911,
158,084,471,925,572,206,520,663,696,752,153,764,057,582,301,976,248,038,585,
890,229,120,768,458,144,159,583,667,527,180,061,503,933,714,985,223,340,073,
984,772,395,590,075,403,082,943,136,059,034,968,440,719,739,802,871,118,578,
693,487,193,034,723,462,991,764,758,568,431,062,509,280,425,244,073,511,209,
252,668,165,815,873,245,659,328,971,768,015,437,992,003,232,056,747,521,372,
446,559,989,375,628,971,310,289,412,379,951,017,205,653,536,517,460,004,691,
930,723,093,888,457,934,481,572,094,710,288,982,555,935,839,180,521,488,507,
212,439,277,937,351,884,407,852,951,683,563,880,158,739,537,922,885,131,987,
830,195,309,376,924,714,209,915,901,109,370,024,576,851,989,482,739,677,945,
697,304,653,443,160,432,280,179,207,062,413,915,854,448,143,124,426,301,137,
526,807,454,301,540,790,507,414,170,740,278,891,994,487,648,047,145,254,720,
838,880,743,069,444,016,954,502,066,009,571,792,990,849,366,874,718,293,868,
880,232,630,266,482,860,496,796,492,125,363,243,759,921,844,455,283,878,672,
557,424,709,778,620,374,723,097,151,288,751,519,539,959,566,691,483,945,578,
798,900,556,035,578,954,968,101,814,021,914,256,645,255,108,769,450,685,698,
777,183,662,566,111,041,234,789,716,510,581,857,311,046,103,381,104,412,149,
068,749,141,646,394,944,206,138,245,838,690,659,159,263,065,295,744,392,892,
190,178,388,621,891,448,962,850,693,550,226,262,996,642,298,937,220,386,793,
660,137,436,266,778,919,142,938,426,824,596,647,227,602,603,437,963,292,881,
724,742,526,944,097,713,257,067,340,071,515,481,864,538,594,228,232,126,923,
879,198,258,703,594,467,114,947,065,116,128,241,850,934,647,267,195,190,213,
541,746,485,430,083,875,740,946,953,645,559,275,383,343,382,006,849,936,553,
760,527,913,687,974,388,486,900,849,014,988,261,394,991,925,265,354,900,673,
118,732,725,237,703,484,847,737,895,015,336,059,094,516,626,816,061,541,057,
369,129,438,076,589,625,662,558,665,685,378,447,928,513,457,305,368,713,646,
621,858,684,754,703,764,131,492,652,189,906,995,852,577,867,762,751,107,031,
108,262,577,111,622,427,818,268,743,343,590,748,546,225,980,954,369,583,417,
086,205,112,799,592,280,991,097,606,659,722,131,502,086,992,381,211,755,692,
604,201,456,100,260,566,986,118,658,915,979,583,953,592,160,916,033,603,498,
201,185,726,382,486,116,659,464,929,096,637,795,611,953,610,636,414,007,257,
538,408,556,600,862,826,865,783,942,013,937,067,681,136,037,408,643,783,796,
035,588,258,564,378,918,265,835,267,756,338,316,092,334,612,704,965,457,453,
258,763,409,792,739,369,885,790,812,778,249,215,685,726,458,606,119,082,442,
033,146,514,249,328,986,373,094,913,092,111,797,611,189,191,139,148,711,819,
748,518,620,494,571,866,422,896,224,608,562,766,300,152,538,630,425,531,854,
145,410,630,967,366,316,441,212,179,274,582,033,267,209,984,219,444,304,330,
729,661,269,007,137,407,913,973,573,889,513,430,833,686,832,828,241,763,401,
941,685,769,300,312,616,884,952,948,667,121,535,229,890,171,399,907,310,504,
446,478,650,734,364,529,334,813,829,822,601,647,947,098,701,221,327,939,298,
178,719,771,483,544,331,627,237,718,186,754,837,379,898,672,623,874,667,466,
568,637,527,002,100,898,413,528,258,734,896,761,936,594,941,553,795,130,231,
643,746,592,945,591,108,092,424,721,356,165,952,148,228,685,985,348,955,707,
674,092,786,848,655,237,055,316,144,114,666,704,283,223,328,402,814,817,817,
167,047,041,701,453,624,658,365,877,263,734,499,421,358,383,854,031,809,528,
340,111,001,170,434,497,442,037,819,971,599,715,968,142,299,796,495,090,008,
623,080,055,282,304,813,722,303,464,620,992,067,896,925,868,441,274,252,867,
035,126,324,090,173,425,446,377,777,157,794,495,195,899,855,657,461,035,174,
021,472,903,572,691,903,837,684,366,141,057,448,844,289,358,888,280,296,425,
785,051,765,015,948,800,000,141,369,567,251,529,891,224,730,162,203,123,102,
636,189,330,099,121,662,739,446,987,900,323,423,623,464,565,288,218,263,053,
105,478,625,231,655,611,819,884,161,226,219,890,544,199,339,034,239,724,580,
852,154,899,193,284,599,387,675,766,702,921,128,539,791,501,600,025,759,873,
241,143,096,897,916,672,154,789,307,191,441,040,066,731,795,065,304,402,563,
703,208,153,545,724,395,591,648,924,753,009,203,566,672,503,650,253,255,248,
339,718,183,891,027,929,547,926,161,013,243,460,724,857,262,361,929,656,719,
819,413,667,637,865,820,197,107,654,812,111,442,380,487,830,207,137,205,204,
588,312,114,529,781,515,770,619,868,842,089,384,060,028,745,300,108,050,924,
865,765,805,501,829,407,401,658,370,035,936,672,289,556,204,729,268,960,387,
658,556,984,370,033,202,114,998,871,878,420,335,610,590,857,892,616,712,125,
436,361,432,820,736,528,829,443,988,146,850,093,589,424,868,800,616,563,005,
445,081,921,954,007,051,423,080,212,906,411,806,480,038,932,696,314,624,050,
891,981,819,708,495,226,106,447,503,506,072,732,263,085,962,512,676,740,203,
480,559,037,858,144,947,483,440,789,185,860,575,385,500,417,503,451,138,150,
503,897,511,673,451,622,689,077,564,841,111,153,426,053,285,212,154,359,918,
451,293,452,168,151,101,181,586,330,842,038,668,260,697,336,454,229,855,932,
268,538,785,352,740,572,084,224,075,162,674,967,466,030,412,794,988,068,249,
666,099,533,801,555,033,069,951,278,120,488,931,649,199,129,223,290,082,693,
280,323,054,864,351,371,441,303,165,579,619,393,451,678,195,057,842,165,168,
460,534,926,819,757,253,873,340,637,315,057,652,226,867,006,700,060,158,405,
696,293,034,216,615,461,783,779,195,320,648,334,102,481,188,272,544,923,013,
282,779,167,078,461,337,767,503,358,986,197,940,842,095,468,184,139,136,441,
648,629,425,818,446,190,671,896,385,669,127,329,762,061,257,859,668,941,345,
439,753,118,719,921,576,145,646,055,273,781,285,293,975,887,915,663,923,712,
503,333,381,858,668,278,302,641,542,259,155,733,011,909,573,706,550,241,107,
388,861,662,918,302,696,439,281,234,256,283,621,648,100,351,323,366,472,258,
432,201,473,972,450,587,694,963,880,102,352,126,143,851,044,502,088,343,054,
921,927,193,928,538,810,728,818,331,897,770,430,350,597,980,396,282,047,742,
545,033,796,179,450,856,104,869,923,518,289,178,751,597,375,541,172,854,884,
280,392,459,606,057,156,999,011,234,476,056,493,400,132,630,642,655,280,889,
106,336,082,317,093,261,161,948,384,240,977,438,355,436,279,927,310,664,474,
513,874,983,870,368,377,838,406,225,121,464,716,830,708,763,650,271,811,369,
847,004,583,811,134,953,197,818,900,025,955,535,548,536,236,906,398,775,454,
235,215,886,612,269,505,453,195,652,795,787,140,300,608,081,564,179,420,743,
913,768,869,768,468,913,856,073,313,635,751,560,592,752,450,090,930,569,771,
930,778,359,604,346,037,130,850,158,349,107,923,598,403,376,643,337,025,191,
620,363,304,109,236,106,121,594,576,340,569,049,437,341,267,111,829,761,021,
183,900,431,983,096,383,114,274,634,935,468,399,656,325,133,330,994,533,642,
201,665,754,618,993,889,545,126,945,061,402,949,574,992,154,046,946,357,848,
415,575,392,717,818,609,041,562,366,207,032,395,567,508,489,204,084,695,751,
862,426,196,181,940,688,546,455,178,614,280,616,376,822,248,280,647,621,906,
260,667,306,817,976,335,911,318,781,148,207,944,095,683,956,761,012,032,808,
008,498,995,375,972,547,025,790,558,001,138,269,243,346,524,800,365,134,184,
124,416,914,072,105,356,952,165,347,082,498,215,999,436,625,126,858,011,745,
755,046,820,818,426,466,699,449,124,020,735,785,693,026,955,411,788,777,155,
524,247,281,566,998,613,146,270,987,554,617,507,878,577,501,323,468,912,566,
568,246,389,566,313,036,848,066,596,741,733,043,436,984,209,085,001,894,945,
450,344,810,399,282,583,973,227,732,657,100,667,120,780,236,696,875,402,770,
481,362,655,392,070,586,277,348,697,212,108,263,188,610,651,591,055,481,921,
199,627,547,928,160,706,700,815,346,834,140,961,837,312,143,631,228,747,272,
529,438,075,949,699,252,334,003,135,766,989,436,319,261,245,943,009,258,774,
275,871,740,520,685,061,696,948,450,860,110,970,565,244,324,167,890,705,696,
075,270,047,926,424,764,331,630,953,027,961,045,224,726,378,083,375,735,306,
088,920,907,984,322,730,735,075,739,498,154,213,693,011,942,022,003,137,402,
616,748,256,572,843,927,335,689,660,510,064,252,614,116,560,418,101,635,765,
204,806,230,042,835,549,440,774,183,892,346,506,142,854,554,340,942,150,826,
728,793,252,830,627,348,544,162,605,994,906,454,505,345,332,365,632,830,657,
515,187,792,392,691,952,154,788,649,324,324,847,889,245,253,934,555,981,004,
418,637,744,958,140,157,407,656,978,428,996,854,355,207,980,282,959,241,519,
182,627,448,965,770,027,078,804,629,382,917,400,671,237,918,364,504,737,788,
752,826,505,334,918,893,022,212,578,634,181,563,050,855,561,038,859,776,601,
533,501,846,538,092,153,042,994,848,166,498,228,398,013,021,349,695,218,630,
854,413,080,024,808,026,107,007,977,932,528,467,885,790,163,556,424,158,092,
553,712,699,018,538,234,229,273,483,149,187,454,963,097,033,685,683,956,860,
112,663,694,661,877,810,805,413,863,939,326,406,337,901,663,035,156,303,065,
116,396,388,861,422,625,425,051,036,629,937,221,097,537,411,888,650,109,449,
389,264,507,670,825,453,406,257,374,796,913,141,823,528,611,467,362,144,117,
961,813,495,054,987,437,168,595,974,108,453,126,703,575,125,858,079,032,413,
668,157,619,917,263,633,451,601,189,177,309,908,831,302,165,487,542,348,955,
679,196,910,870,007,994,963,831,366,604,967,724,376,936,367,936,162,968,224,
871,015,182,723,194,752,005,967,934,548,956,893,696,726,558,326,233,849,778,
381,422,085,260,957,055,829,915,573,529,633,136,348,872,622,146,108,478,632,
494,523,989,033,210,221,891,416,807,978,651,613,000,025,169,493,757,939,464,
184,538,654,016,008,781,021,006,320,824,598,205,990,367,572,987,136,282,651,
676,855,241,574,057,708,866,900,797,013,606,196,829,244,376,390,475,149,285,
303,643,257,619,402,244,454,131,725,685,969,413,342,282,733,450,753,563,168,
075,561,067,890,634,274,631,975,929,600,935,238,618,819,142,902,751,897,175,
995,197,293,746,998,358,351,512,207,842,435,444,325,145,267,178,831,586,252,
371,349,351,077,197,325,586,662,480,094,399,771,263,984,453,101,845,420,250,
935,713,535,222,288,080,685,797,670,496,479,050,326,025,456,514,256,055,753,
786,855,767,417,456,272,558,777,391,257,255,814,757,084,446,221,803,683,126,
799,085,272,096,873,386,797,007,018,601,478,595,319,869,779,528,415,434,678,
686,228,742,244,680,134,556,642,773,264,688,837,169,398,926,234,643,986,314,
984,500,988,033,236,486,938,755,913,044,821,088,289,480,188,270,386,835,147,
211,709,280,107,512,764,322,469,378,997,904,676,471,359,297,085,120,896,533,
586,392,211,237,719,967,796,376,813,391,527,198,611,754,478,001,516,463,950,
512,034,981,571,299,619,530,660,498,345,689,229,267,491,969,119,370,687,702,
572,348,746,023,861,367,707,816,655,291,831,237,000,390,019,657,418,863,868,
686,517,136,026,999,805,730,564,966,645,380,746,959,499,331,006,493,372,995,
594,881,680,798,594,500,349,626,655,113,740,318,323,842,663,246,516,234,705,
790,820,638,836,189,404,166,033,805,693,713,684,380,985,453,445,679,330,310,
198,449,008,391,422,243,705,060,353,158,684,360,435,497,022,074,792,790,166,
162,596,000,883,597,427,606,245,548,325,118,988,791,799,689,665,591,775,259,
414,845,358,233,712,625,449,639,293,629,071,167,919,234,314,472,548,873,660,
525,478,762,641,431,415,059,008,534,107,662,944,580,574,136,496,245,142,734,
355,523,404,745,330,225,400,311,623,066,611,039,322,221,545,764,107,686,442,
875,709,111,295,160,867,441,525,419,991,303,017,104,913,670,988,538,518,957,
391,338,390,087,408,763,326,580,072,202,699,463,159,982,652,765,358,070,107,
238,357,116,607,904,136,577,178,370,903,483,169,099,563,656,414,094,439,041,
823,757,956,123,069,613,039,699,670,506,850,979,342,806,178,055,933,928,966,
249,392,165,864,251,816,367,763,782,472,521,513,077,581,836,851,732,296,443,
950,658,631,990,008,147,527,718,851,065,255,343,723,542,315,021,689,911,499,
848,918,180,548,161,430,736,286,963,440,812,331,950,648,849,781,803,062,775,
581,149,404,128,507,374,446,941,175,123,693,838,530,924,532,899,498,890,377,
275,251,741,040,715,562,237,491,333,730,894,130,957,723,698,745,050,077,346,
993,466,214,566,871,771,190,117,095,805,749,231,181,696,306,522,835,132,537,
674,596,547,077,030,040,440,038,644,646,484,402,423,525,996,905,356,439,688,
905,368,188,157,031,402,265,858,563,307,483,004,897,161,085,008,700,402,555,
643,819,413,379,095,127,931,877,411,681,038,144,005,609,124,591,499,798,576,
883,270,992,809,827,212,977,884,982,688,841,198,697,522,602,414,427,646,538,
027,477,060,828,072,419,866,366,446,042,935,111,124,393,742,352,100,583,967,
530,675,113,172,951,513,479,896,058,742,949,967,251,702,349,581,735,314,121,
090,494,674,366,151,273,094,430,427,646,731,826,252,517,659,223,567,697,640,
950,074,516,038,363,020,412,389,300,141,432,705,497,100,942,566,451,464,093,
388,847,735,415,865,665,110,300,295,509,620,424,043,569,099,310,920,647,748,
249,976,115,679,018,605,492,115,497,093,020,481,941,752,784,346,853,009,211,
297,484,997,643,644,467,017,641,016,557,088,772,892,553,178,143,197,648,888,
165,165,295,804,479,168,288,501,987,818,323,193,846,326,164,539,071,256,152,
694,376,336,138,122,186,193,774,684,183,756,115,195,906,672,544,268,360,470,
331,758,567,391,401,832,486,373,635,665,733,290,476,341,936,290,184,448,756,
784,833,078,287,067,221,209,904,867,026,534,171,992,384,913,555,399,110,999,
613,124,088,387,314,777,670,477,077,323,411,233,986,375,756,835,622,002,355,
488,580,171,637,661,828,150,073,322,807,739,240,000,392,441,252,399,378,926,
913,377,099,587,849,407,941,630,885,606,743,134,333,451,315,508,339,574,879,
139,460,146,419,570,268,509,962,962,896,132,906,826,886,308,499,653,417,106,
720,824,302,450,628,985,009,887,378,367,378,996,122,873,323,076,058,131,538,
471,945,529,767,551,892,578,316,612,824,213,883,084,493,819,809,403,914,019,
896,905,533,973,352,246,496,784,364,341,216,577,263,456,805,184,369,883,188,
244,631,961,083,550,614,247,297,295,185,563,002,290,872,118,760,695,098,672,
911,605,803,211,598,547,878,444,988,379,753,961,215,755,456,740,512,815,784,
043,147,030,592,005,452,298,363,220,370,812,254,883,081,013,933,984,600,792,
497,147,479,099,668,197,506,323,261,286,427,421,449,884,813,845,441,779,418,
177,721,976,278,029,170,468,681,000,876,343,285,583,843,648,900,549,588,372,
944,758,218,900,433,702,921,368,716,255,609,213,763,450,233,089,417,642,210,
473,015,468,680,254,147,815,443,345,391,513,343,738,446,854,914,019,887,855,
044,445,277,351,420,154,897,926,146,983,807,424,990,764,231,256,781,828,241,
728,570,216,565,472,700,371,067,430,561,509,379,702,102,683,852,096,484,802,
913,016,785,470,768,274,566,242,069,542,293,289,338,211,651,766,019,174,235,
125,686,744,802,610,670,781,396,627,107,047,550,445,752,650,772,032,086,636,
213,353,899,295,646,989,223,957,873,779,561,837,976,689,771,474,172,727,998,
764,599,048,348,794,494,301,771,569,963,284,770,708,684,333,200,269,244,355,
755,064,112,896,332,997,680,727,607,717,113,027,633,647,077,397,200,729,455,
793,781,796,132,544,129,617,083,849,754,701,103,875,515,647,749,597,227,961,
727,245,365,282,891,427,286,354,777,817,108,404,671,420,070,430,214,601,075,
263,173,462,007,332,613,565,835,519,832,681,853,610,691,366,047,935,695,116,
979,070,338,932,751,039,048,021,518,734,111,480,708,083,504,068,140,904,254,
499,621,790,410,278,204,195,079,036,941,736,059,180,805,703,910,751,630,156,
944,030,920,445,035,811,111,663,997,979,366,199,762,796,125,269,951,047,694,
885,114,119,044,401,197,349,086,499,823,313,634,316,750,008,000,833,685,360,
257,014,089,607,248,436,944,517,343,405,636,750,044,928,489,952,758,733,079,
826,826,052,503,227,109,497,720,032,553,175,664,253,062,964,665,551,412,900,
713,332,513,459,639,948,290,527,616,799,180,840,798,947,422,229,639,699,189,
608,220,962,478,630,418,913,416,197,381,865,258,094,682,268,241,232,704,719,
333,501,103,006,051,707,853,581,095,475,721,484,968,634,040,658,929,943,656,
382,672,820,874,914,136,532,509,047,444,463,138,387,152,141,375,890,636,744,
800,197,165,350,699,785,090,780,745,982,020,254,393,852,643,950,347,345,260,
819,360,179,119,963,535,360,207,487,177,617,900,428,452,205,421,894,609,612,
236,672,141,982,553,892,856,582,591,287,902,733,251,945,947,508,374,754,130,
901,466,895,377,437,425,521,342,174,176,476,203,084,601,458,263,022,238,083,
350,713,811,138,073,902,410,214,679,285,769,808,002,379,029,635,940,656,567,
041,540,304,879,344,129,875,680,475,850,166,889,978,639,757,787,684,611,200,
378,058,979,905,074,608,013,976,467,381,967,740,470,801,936,084,638,000,993,
830,632,134,685,063,417,119,167,745,079,913,903,930,565,067,234,795,541,017,
797,013,369,657,279,138,772,339,994,381,871,535,943,338,354,902,266,332,885,
301,847,226,004,655,700,178,008,874,888,153,562,971,623,611,531,720,308,693,
875,382,246,278,946,565,731,917,724,037,075,979,923,204,964,449,132,192,798,
127,763,652,890,819,235,567,223,914,614,343,139,879,927,900,068,981,674,467,
256,150,436,642,500,312,889,663,236,035,860,361,059,551,161,139,498,500,217,
460,887,157,266,135,646,529,854,636,685,591,925,228,067,623,679,469,742,611,
036,884,764,906,124,498,935,551,775,400,637,422,688,948,658,541,917,033,291,
243,138,646,414,786,306,995,851,783,320,642,762,764,719,673,418,579,980,997,
078,844,535,232,814,820,580,364,340,264,218,103,049,947,612,784,400,302,228,
140,439,452,575,749,639,686,746,239,007,398,323,817,781,901,272,259,140,673,
781,819,466,401,404,606,853,443,228,494,870,392,065,192,519,962,348,788,602,
841,863,373,421,155,921,766,028,026,658,910,137,802,083,704,149,130,545,507,
387,126,221,989,127,592,719,474,703,457,794,700,167,482,404,279,037,136,992,
940,278,809,605,024,459,373,321,727,181,219,361,332,461,668,645,471,803,078,
325,666,502,544,358,333,246,882,781,227,657,772,706,437,463,130,310,352,554,
334,778,901,556,653,370,946,431,858,925,469,828,832,359,658,907,689,990,985,
969,978,535,641,085,854,063,998,465,779,672,093,481,775,599,430,374,449,453,
372,185,184,366,635,807,688,118,894,257,399,458,195,803,781,066,200,092,785,
565,368,779,705,524,926,427,732,506,971,175,395,594,657,255,050,794,112,756,
958,837,924,017,951,867,314,037,594,361,351,002,672,261,277,293,577,922,755,
580,373,550,596,401,409,401,705,994,642,313,385,423,503,459,681,895,344,646,
266,644,108,159,740,095,657,789,639,507,323,572,405,317,591,582,964,324,818,
436,411,738,816,400,523,412,464,502,791,942,898,627,336,729,467,513,984,778,
914,009,963,639,019,456,531,706,658,661,958,523,656,135,612,697,830,677,856,
838,913,513,181,243,357,482,794,642,970,878,393,958,119,112,889,648,584,138,
120,385,246,862,530,919,028,650,232,092,121,132,848,687,195,167,353,886,407,
984,388,382,071,148,285,266,736,942,316,455,384,902,486,796,143,451,404,790,
656,022,383,374,097,813,666,761,344,009,606,329,819,908,229,513,670,465,639,
860,347,501,806,836,895,832,862,765,815,083,852,132,363,096,501,210,447,769,
159,020,689,547,216,230,343,552,700,435,079,910,103,957,047,198,250,852,968,
656,510,043,300,431,043,915,055,010,975,741,005,959,499,279,019,034,566,447,
755,028,443,190,068,163,834,475,741,177,425,145,034,928,004,830,744,222,623,
252,102,734,771,432,032,399,814,371,152,401,605,099,723,627,366,927,798,572,
666,244,675,680,565,736,213,349,367,477,899,000,794,743,260,369,676,095,561,
272,136,059,264,075,588,435,938,106,851,418,322,135,758,259,484,218,255,800,
482,986,364,337,083,560,291,615,875,834,717,132,201,457,243,840,212,921,336,
670,710,683,637,068,870,169,975,525,057,970,676,840,228,005,012,805,481,267,
904,637,150,129,016,414,923,694,390,230,637,958,120,558,618,411,480,206,976,
133,988,855,257,746,629,188,700,254,120,892,797,502,527,202,501,827,464,321,
882,045,696,997,886,217,622,650,713,539,507,892,021,992,430,356,684,481,254,
801,933,562,974,804,075,878,931,052,475,246,803,391,228,295,855,324,513,864,
169,705,597,516,536,625,041,054,815,778,543,465,906,104,414,365,803,974,677,
446,914,607,089,055,074,452,142,442,074,010,812,235,443,023,769,462,915,052,
542,973,788,857,723,960,102,182,054,577,489,755,342,991,661,884,606,670,454,
439,394,319,630,936,445,257,107,592,501,199,039,992,160,206,971,864,036,120,
919,673,394,580,911,364,413,035,949,127,585,324,865,432,294,626,031,299,371,
163,122,077,121,843,954,104,106,843,413,124,165,364,402,079,215,637,687,107,
888,911,232,879,766,807,487,952,565,549,234,207,848,594,278,881,495,133,474,
611,060,528,143,303,298,598,287,796,490,566,809,660,508,290,531,326,738,503,
374,178,311,761,257,628,947,336,696,209,115,303,079,262,624,090,376,064,520,
527,701,806,128,523,700,537,340,316,187,640,047,784,043,127,660,811,752,020,
089,649,821,563,562,159,788,501,207,756,625,541,583,318,675,876,259,093,767,
940,943,984,677,606,794,957,002,611,026,774,449,192,310,853,451,100,513,100,
414,961,762,368,588,926,687,978,258,145,408,833,835,653,728,942,353,813,819,
656,178,897,941,742,862,033,990,707,566,191,931,240,829,521,438,176,360,069,
715,030,762,259,756,269,790,608,539,651,490,193,102,368,210,081,037,968,491,
422,331,388,526,404,044,974,104,555,326,705,554,858,962,580,776,821,048,331,
444,455,311,964,469,740,895,932,426,983,602,497,455,781,612,273,126,789,715,
389,441,566,474,120,712,832,510,723,639,924,294,700,527,723,701,393,012,297,
748,318,527,344,005,228,047,076,512,662,594,522,939,999,085,681,923,916,063,
807,862,514,860,835,171,285,773,003,498,620,075,878,688,323,141,455,877,484,
272,423,546,630,391,357,078,562,461,560,254,767,247,180,745,968,487,890,739,
596,917,943,851,154,802,044,911,723,237,842,233,449,335,853,924,704,810,880,
617,537,998,503,598,751,333,118,954,145,517,551,884,966,323,039,446,655,072,
260,342,250,649,006,076,443,605,622,575,915,276,083,085,684,417,480,631,309,
568,600,412,630,764,492,667,093,442,290,852,771,827,470,641,392,533,590,566,
451,981,766,038,481,373,090,988,930,859,293,051,042,128,765,717,447,653,769,
842,709,104,371,220,062,633,289,271,322,241,609,376,911,361,799,596,501,036,
975,702,477,688,196,392,165,774,318,851,573,599,757,075,691,150,392,082,848,
663,014,716,464,043,199,064,209,124,842,790,901,996,846,910,953,512,002,812,
401,720,442,031,878,912,619,319,928,185,991,713,555,941,832,283,135,885,764,
566,005,085,422,191,675,501,220,987,554,019,600,417,610,367,438,820,698,231,
519,294,031,494,300,979,131,513,988,915,649,636,549,829,856,213,414,359,520,
416,145,324,208,067,734,264,223,208,004,828,040,428,933,719,253,555,309,646,
202,590,214,115,393,011,978,404,652,396,284,031,187,756,799,255,789,179,626,
322,668,736,893,542,261,310,328,393,975,378,905,858,695,431,831,633,877,337,
779,785,207,205,218,393,128,885,337,222,947,395,499,028,631,514,551,070,757,
949,428,803,349,036,914,880,996,551,063,041,904,161,301,247,874,686,026,306,
393,693,213,628,238,088,255,557,481,716,700,391,909,176,514,615,056,818,637,
081,570,848,229,172,794,316,923,878,425,863,021,566,339,689,733,759,186,687,
751,573,333,689,036,307,559,809,151,220,175,623,810,067,769,726,066,028,526,
263,202,665,569,261,359,150,448,268,552,183,642,473,552,750,497,866,751,873,
179,404,905,891,915,627,431,280,046,789,039,824,872,555,970,484,343,969,831,
287,239,699,202,973,790,704,719,873,846,261,474,302,296,036,229,709,110,555,
345,308,687,186,180,506,531,138,744,140,891,752,778,922,440,140,610,647,740,
980,163,392,620,497,208,130,617,145,696,067,753,534,408,639,512,802,282,421,
155,510,540,687,122,246,893,841,320,468,912,264,467,686,922,590,753,400,972,
143,577,848,990,596,464,072,732,120,697,497,690,262,425,519,558,722,882,003,
549,131,575,106,228,113,162,988,170,059,434,850,797,573,091,243,121,469,036,
662,597,511,646,590,049,464,840,437,985,776,818,894,718,935,959,001,619,795,
961,370,173,686,637,531,985,351,426,284,381,707,346,400,903,607,549,781,476,
583,905,334,146,608,560,624,182,990,916,611,082,696,094,220,989,026,240,378,
285,627,874,122,034,844,399,287,057,432,288,626,826,043,561,521,253,112,168,
418,952,407,564,834,730,734,930,768,875,357,149,600,602,089,893,340,561,825,
248,240,300,711,083,907,157,816,611,775,490,166,458,900,546,121,233,443,289,
111,296,967,605,915,163,000,619,419,838,437,096,927,960,453,988,278,940,432,
985,401,175,058,934,295,787,617,608,825,112,143,522,111,761,100,764,562,728,
982,119,827,072,777,626,278,888,437,554,569,107,201,517,697,751,514,802,532,
152,630,439,445,641,928,327,601,490,378,146,437,934,499,894,296,669,379,632,
247,742,912,219,951,113,298,476,455,476,054,717,355,900,811,035,375,428,447,
630,615,304,666,945,515,647,141,542,998,594,333,637,782,811,329,342,025,827,
350,395,181,473,307,346,824,085,879,455,370,912,762,566,033,230,956,538,386,
056,701,727,889,935,711,259,747,256,408,690,722,117,751,292,466,316,671,392,
755,578,561,190,212,455,385,461,639,117,356,998,838,616,512,131,895,109,627,
854,280,583,144,045,725,472,937,414,183,792,095,768,891,113,634,765,520,912,
523,748,505,749,340,993,671,492,107,298,809,977,365,285,023,418,579,254,900,
331,214,343,846,877,487,216,875,035,672,419,053,347,743,696,436,318,511,833,
552,272,543,234,569,761,624,690,535,309,856,893,000,928,381,906,189,746,791,
466,849,841,871,232,676,343,773,795,133,107,344,680,361,949,148,306,978,950,
275,103,285,433,719,376,035,160,195,436,412,179,283,346,871,686,782,269,382,
379,093,015,863,867,123,403,129,051,672,922,375,451,791,630,576,751,949,471,
877,454,323,202,012,282,962,494,134,329,683,808,018,830,855,021,193,282,933,
541,115,187,867,212,756,314,856,994,473,852,176,563,138,676,958,628,965,127,
205,127,594,938,470,518,365,914,380,456,549,301,069,351,604,171,033,723,991,
752,513,862,303,608,495,877,960,241,388,518,083,025,923,738,123,114,036,762,
080,672,965,671,221,465,392,099,593,728,062,200,989,855,007,036,144,900,123,
533,530,276,731,975,566,791,868,467,836,979,278,363,487,007,851,055,941,376,
427,278,608,184,536,574,127,394,698,397,466,589,466,665,684,592,022,720,655,
606,242,911,703,324,794,677,780,526,820,011,619,891,034,263,521,604,133,163,
613,383,131,106,137,532,699,821,511,949,165,289,596,453,556,136,469,092,874,
358,535,155,326,590,268,757,225,305,952,348,173,057,062,619,066,792,879,769,
867,291,559,144,971,600,038,637,628,756,600,469,535,867,224,765,701,518,448,
808,338,705,935,389,012,210,163,663,746,158,575,421,881,791,619,798,624,984,
046,472,963,015,265,940,573,183,525,137,031,744,898,660,787,583,702,757,265,
420,835,753,089,481,358,885,561,297,096,881,370,951,885,577,065,972,757,869,
465,184,152,715,960,912,045,452,263,660,429,106,183,908,522,221,628,097,905,
059,334,096,806,965,524,289,600,998,546,907,274,319,940,638,411,960,102,540,
180,093,722,304,009,008,876,747,821,148,989,657,856,266,781,278,996,240,823,
996,652,086,644,042,868,679,184,370,811,576,794,249,286,898,722,750,673,133,
840,536,921,238,990,046,282,066,633,816,103,554,772,201,565,403,352,148,950,
448,202,561,423,625,146,746,232,161,652,348,215,347,445,477,016,193,743,806,
911,251,742,678,866,607,110,820,720,751,661,085,785,456,209,958,139,798,867,
997,284,242,333,543,016,264,391,814,064,067,094,417,177,020,582,274,932,625,
326,807,139,773,520,717,880,675,154,618,513,175,295,126,188,053,991,946,303,
714,590,369,868,943,002,641,238,934,964,435,457,763,362,174,456,212,699,744,
618,361,696,685,941,808,074,385,025,118,540,908,952,320,366,246,145,631,987,
803,613,176,731,659,766,431,602,060,129,890,689,885,537,975,797,684,692,754,
374,985,711,848,332,336,437,350,909,095,958,622,646,837,412,619,854,593,775,
755,088,679,980,071,102,649,172,964,060,329,494,889,681,003,272,290,665,942,
726,992,321,758,333,774,561,930,314,216,859,166,301,011,792,570,304,801,287,
594,418,792,229,271,206,562,208,684,941,485,607,878,559,046,618,569,285,647,
824,475,485,803,437,063,706,248,549,027,756,092,786,978,813,446,035,684,655,
202,574,701,051,344,362,490,272,772,921,893,953,433,642,008,354,570,995,528,
316,301,772,620,228,515,649,117,430,997,578,687,049,358,812,432,137,866,159,
924,237,262,211,531,830,205,247,579,049,339,214,673,123,522,571,789,121,062,
381,762,837,052,567,136,761,408,292,158,962,373,396,552,119,932,538,621,090,
600,626,221,145,119,366,559,802,719,380,065,642,356,911,445,702,446,346,307,
998,709,328,799,408,707,355,057,580,406,671,840,094,974,779,425,508,896,324,
431,701,554,144,425,054,412,575,853,548,092,440,467,727,168,279,624,191,012,
780,390,075,652,944,153,383,167,131,959,816,985,781,631,488,457,745,938,837,
725,364,453,417,166,174,149,147,527,769,211,907,798,083,015,868,042,688,005,
980,619,644,438,959,478,381,612,570,650,579,449,188,658,036,790,498,644,844,
088,280,902,868,382,756,652,670,596,969,864,688,153,100,678,587,933,025,157,
505,241,018,586,975,970,100,006,177,191,362,494,137,618,808,769,437,418,316,
608,948,440,210,178,127,627,494,898,355,437,282,606,681,011,532,696,334,635,
951,126,230,151,264,650,945,417,134,582,871,556,944,449,833,181,761,689,437,
673,303,217,914,206,460,418,959,608,532,641,381,139,125,196,784,945,049,621,
771,325,092,877,828,296,646,189,807,898,706,362,639,035,510,084,966,926,470,
364,674,047,948,980,854,978,952,372,799,733,849,431,555,899,497,105,495,356,
843,504,491,180,141,647,541,320,490,909,351,846,213,261,264,937,933,757,523,
958,794,409,705,833,375,721,840,298,269,060,941,585,844,326,816,240,528,375,
640,330,228,120,146,346,072,505,530,556,835,806,928,441,285,935,501,246,595,
518,353,931,730,743,366,518,470,799,472,760,818,295,686,825,274,567,086,061,
378,634,953,868,592,267,026,538,284,148,615,763,761,785,388,532,480,605,303,
408,517,435,380,740,380,215,199,752,213,183,662,754,875,127,597,423,738,532,
493,630,268,399,668,866,049,521,347,691,627,073,500,231,441,953,479,300,585,
506,179,173,469,325,460,137,554,931,478,235,033,641,141,887,352,226,915,635,
813,920,364,775,428,312,311,929,871,479,855,710,675,813,139,598,304,352,921,
448,750,611,984,401,050,063,085,377,767,250,320,100,736,626,408,663,819,093,
226,675,810,158,549,567,638,467,263,820,149,983,758,604,582,371,788,231,062,
727,125,944,292,612,669,539,672,518,003,361,260,508,717,901,917,589,566,792,
610,875,260,368,816,458,051,453,307,257,576,434,915,540,392,429,530,171,213,
949,480,923,055,484,210,865,825,365,122,201,321,404,056,499,778,771,687,187,
349,738,812,939,963,990,108,986,003,254,231,598,611,493,681,359,121,685,960,
869,740,114,023,501,506,083,439,943,426,819,947,041,477,087,568,622,822,484,
301,552,896,552,890,760,415,792,908,672,088,161,704,946,206,415,391,913,048,
024,950,810,157,120,178,036,572,511,993,353,550,873,531,674,315,563,457,597,
364,769,044,480,928,765,207,692,187,961,595,473,535,134,845,327,243,075,298,
220,377,633,330,813,056,337,369,517,178,510,071,360,032,084,414,110,325,863,
542,614,802,105,959,089,361,857,736,739,199,976,967,070,524,328,113,993,484,
857,276,118,945,797,599,511,643,882,707,562,789,967,307,215,950,727,618,408,
798,614,232,808,288,985,936,158,815,555,811,136,385,650,078,754,811,985,115,
781,790,492,206,310,842,498,980,809,971,649,440,903,976,607,426,389,797,391,
130,852,526,250,351,932,881,713,260,391,962,318,117,722,033,185,798,779,256,
020,558,841,665,795,722,248,554,647,648,795,429,017,409,215,985,763,174,245,
020,297,015,680,249,766,221,084,038,308,095,874,444,197,583,613,655,491,776,
932,156,381,928,150,120,905,466,975,509,447,096,954,523,070,756,388,972,756,
068,226,957,856,580,931,078,093,832,096,944,999,141,038,200,453,846,345,871,
701,559,061,044,696,517,525,916,402,803,531,063,163,511,769,646,247,649,508,
001,853,891,559,668,526,954,838,085,482,763,956,786,901,103,286,606,783,918,
302,699,901,015,061,495,556,144,410,360,653,641,487,808,524,176,113,034,578,
155,875,740,896,497,536,678,370,209,035,558,614,985,394,824,077,051,196,952,
367,924,087,388,801,601,893,974,242,531,779,773,003,312,782,240,606,431,877,
887,310,142,296,769,473,186,814,688,962,656,427,991,329,311,465,708,388,301,
762,063,927,538,100,895,331,894,227,158,484,260,113,762,124,068,162,083,144,
599,182,925,549,493,634,582,778,292,597,560,810,048,706,249,192,613,696,393,
913,661,148,260,754,907,664,182,956,351,766,031,412,655,029,878,293,558,544,
302,834,978,218,422,702,147,117,533,935,127,146,689,747,511,180,227,693,858,
440,232,518,753,417,062,009,824,979,049,179,022,009,007,064,312,456,175,862,
558,462,122,268,517,326,022,262,093,752,836,865,775,698,355,505,116,593,145,
109,415,612,361,270,099,495,561,128,070,222,085,802,874,481,100,486,917,904,
777,409,083,210,340,365,859,191,825,939,660,645,210,395,771,535,147,693,428,
796,363,639,060,369,415,096,645,860,229,730,646,694,209,694,815,937,826,115,
718,920,756,328,430,487,668,492,508,717,382,902,894,940,679,517,649,415,684,
687,002,672,655,371,367,063,542,751,302,843,496,427,500,511,897,834,756,185,
656,355,430,057,682,909,136,017,119,349,205,785,746,898,055,801,215,449,530,
729,714,263,941,616,767,494,263,277,062,006,753,676,606,439,301,051,239,007,
291,361,832,161,612,240,831,108,367,854,920,470,255,872,962,755,046,724,676,
940,239,682,175,772,511,532,107,617,136,825,917,623,030,913,875,682,150,076,
281,653,314,402,893,532,348,250,389,261,911,469,679,251,004,635,073,699,048,
444,946,260,365,338,422,190,994,011,116,340,444,531,134,272,822,536,488,853,
042,220,671,395,620,188,509,648,963,878,748,783,124,973,074,236,288,314,064,
931,166,717,451,406,300,738,920,457,592,379,647,173,986,905,426,113,413,478,
216,733,830,340,323,282,374,953,273,309,998,767,215,269,150,261,434,836,184,
272,308,449,627,784,375,302,310,091,005,646,312,998,150,526,272,587,177,818,
274,906,110,942,437,907,181,232,061,235,527,982,921,432,200,953,850,955,686,
856,099,344,111,723,684,748,703,172,350,152,890,817,363,687,537,658,444,352,
536,454,550,096,389,540,484,346,218,873,763,873,415,479,425,405,616,814,768,
771,870,889,377,092,323,322,689,464,359,354,557,150,255,934,501,769,415,782,
992,119,876,792,279,282,142,931,482,047,902,315,337,012,629,349,994,326,596,
721,098,107,463,524,571,930,010,118,891,633,383,573,149,233,512,938,067,114,
482,250,967,465,334,656,973,560,879,194,731,865,700,953,959,293,795,322,233,
916,406,077,734,338,165,861,023,885,453,756,687,592,495,946,334,482,499,659,
623,202,292,025,822,794,185,800,342,475,103,876,824,526,176,714,333,741,594,
993,282,619,785,562,673,310,752,252,183,148,318,264,176,813,697,353,474,345,
437,547,879,651,527,268,332,464,982,839,975,045,099,432,317,868,856,546,600,
441,144,958,570,109,388,130,581,227,169,554,196,537,861,822,346,682,738,818,
337,410,799,238,648,191,710,977,902,092,833,104,427,451,075,541,280,302,983,
928,943,121,306,405,125,773,481,547,457,843,400,977,750,424,703,635,473,407,
526,281,393,265,835,423,477,050,916,647,712,915,467,031,149,445,441,584,272,
848,680,685,614,074,376,516,752,890,273,938,128,594,202,201,928,647,803,285,
562,978,648,615,654,419,741,642,661,884,489,785,699,729,297,989,120,327,635,
549,715,749,603,575,097,440,794,152,985,261,581,626,652,239,331,247,605,346,
615,248,492,073,947,933,988,807,362,239,290,750,233,201,349,518,365,239,882,
895,194,983,204,563,087,734,912,900,933,818,086,215,370,324,754,488,902,952,
073,046,465,374,107,939,294,269,731,524,578,332,692,820,962,302,212,172,600,
962,079,702,074,476,981,037,180,405,138,658,740,666,462,691,427,634,810,852,
534,177,211,411,459,670,620,168,421,702,543,960,803,754,761,437,202,703,991,
338,466,594,107,306,012,569,972,615,865,808,298,209,127,147,567,110,676,487,
678,645,861,050,857,658,650,475,090,673,191,543,020,373,259,154,000,922,365,
084,654,788,370,407,213,799,254,127,784,236,354,593,642,579,719,340,355,330,
204,786,745,993,878,327,449,385,738,415,639,387,552,712,517,684,026,160,355,
182,568,813,423,784,372,165,904,390,208,758,965,649,958,982,163,706,456,866,
145,911,593,627,133,908,285,404,032,139,919,109,434,851,552,368,418,061,379,
569,558,997,810,633,763,679,973,571,751,311,394,034,603,656,577,125,912,853,
048,136,542,097,053,175,071,104,025,263,991,970,041,738,748,038,767,469,337,
525,449,234,056,878,109,766,080,915,890,142,708,287,676,232,488,844,269,468,
856,046,255,215,399,496,496,585,873,774,358,543,092,279,510,336,197,692,878,
900,160,977,161,006,353,123,736,753,731,964,771,115,575,846,397,252,140,527,
399,068,812,950,231,123,061,533,690,823,781,745,057,529,871,626,839,893,584,
818,366,831,823,200,137,794,179,189,860,942,170,989,470,575,004,052,843,802,
602,658,580,429,020,792,390,095,852,857,063,601,612,444,573,073,530,624,991,
978,693,880,949,436,813,290,852,064,840,185,230,958,153,691,334,756,581,341,
861,801,753,467,010,557,990,167,801,521,810,353,826,054,303,110,685,027,047,
505,542,183,303,821,659,199,827,105,246,544,630,276,972,152,922,995,805,331,
592,258,271,941,114,209,859,104,246,262,105,479,492,240,632,652,972,464,544,
145,431,358,049,605,490,935,891,841,553,934,151,500,216,042,592,256,229,119,
488,989,887,803,677,732,576,872,442,545,892,736,479,995,998,852,854,146,354,
010,854,002,237,676,216,793,728,584,376,756,205,516,163,957,825,538,509,981,
505,092,391,903,519,249,257,317,418,306,739,374,753,695,717,966,650,415,901,
997,522,451,570,848,495,776,978,688,460,168,266,195,868,840,118,154,315,439,
405,554,176,937,406,046,979,154,598,714,997,717,951,010,444,264,807,389,508,
824,632,291,444,781,592,971,562,082,354,117,699,774,126,382,965,340,875,100,
765,424,313,022,815,773,929,360,881,788,566,701,433,672,980,605,380,374,920,
201,507,502,262,412,853,587,298,378,952,741,571,512,557,331,731,946,529,175,
100,531,932,776,990,824,893,216,434,782,482,956,069,506,701,299,093,819,668,
962,377,414,777,625,648,426,726,489,153,719,709,142,949,178,405,483,566,572,
269,781,997,323,248,854,544,127,548,822,994,804,190,107,244,073,623,644,471,
341,996,485,016,875,641,899,786,688,718,495,156,427,431,389,433,516,499,970,
954,225,151,836,640,142,049,131,611,032,092,349,740,264,852,073,960,006,745,
850,337,578,862,519,349,181,953,383,742,844,391,192,342,620,027,146,617,772,
794,825,230,252,306,174,805,160,050,942,635,276,414,270,684,483,494,956,610,
254,751,075,779,143,194,420,657,904,077,045,435,668,578,951,879,524,228,939,
896,503,541,298,286,926,854,083,374,286,921,539,761,189,046,631,233,173,875,
631,202,694,886,014,254,090,600,397,178,611,309,379,060,183,229,315,638,750,
679,484,382,261,134,716,728,840,275,684,900,445,908,060,365,883,855,717,941,
999,015,625,809,367,561,084,616,048,885,977,798,028,039,513,801,859,540,104,
018,864,753,383,346,015,692,994,748,986,748,633,006,642,249,147,400,137,019,
525,981,072,237,682,222,206,828,427,494,200,187,493,530,031,514,745,130,723,
815,595,827,485,669,310,930,480,813,004,883,237,651,442,324,629,199,358,572,
388,151,422,922,687,992,304,002,933,469,331,130,248,142,337,442,540,372,394,
029,150,354,968,300,178,703,977,270,395,242,628,531,894,327,559,582,284,124,
945,602,030,121,765,643,029,609,157,537,670,273,861,672,822,307,874,769,340,
224,702,236,780,316,925,867,402,453,552,568,612,016,299,103,150,530,556,177,
698,953,789,144,197,963,493,959,498,235,370,409,983,495,181,507,591,910,443,
221,051,952,152,957,150,676,816,460,295,134,255,127,891,079,103,450,368,569,
735,331,129,836,460,564,293,342,493,019,016,955,912,484,498,151,586,902,176,
853,426,515,978,601,096,678,765,064,446,615,359,332,951,702,538,372,294,057,
661,755,642,737,478,016,598,505,549,831,017,679,073,358,922,243,241,048,097,
390,506,257,924,325,621,920,237,944,631,119,927,892,232,036,897,022,685,555,
877,661,810,254,526,452,590,027,004,711,423,239,872,029,617,820,751,662,292,
109,848,231,560,079,189,966,221,479,216,806,807,624,640,580,391,406,884,282,
928,281,344,345,085,153,735,976,880,116,433,054,335,988,454,711,735,404,850,
473,793,933,821,144,845,992,992,930,018,847,484,644,386,048,188,473,474,945,
763,188,394,338,360,316,316,709,519,842,316,175,380,231,820,004,004,825,522,
249,894,553,714,832,200,108,335,497,442,058,361,182,520,023,029,212,925,251,
066,897,635,483,489,376,634,876,278,879,796,845,725,453,588,348,107,386,543,
211,080,990,913,381,881,294,300,305,515,544,827,647,855,092,635,612,395,240,
222,553,774,847,004,347,455,122,966,141,522,051,841,971,986,470,041,349,488,
460,747,433,219,855,888,792,050,292,330,079,505,984,036,686,142,331,921,413,
677,732,670,411,605,683,794,403,625,232,186,496,460,943,908,625,005,592,448,
564,685,337,160,399,990,035,480,212,796,887,805,555,454,383,484,405,986,254,
810,800,429,764,925,448,433,492,320,421,920,841,929,960,447,306,470,531,705,
305,037,025,908,752,415,852,930,887,455,069,530,002,457,351,909,435,078,000,
897,211,831,097,885,326,008,378,082,872,026,074,123,709,404,312,984,606,851,
415,315,837,191,120,102,227,697,765,855,497,276,040,267,003,113,053,176,129,
230,725,296,038,164,502,038,594,230,115,619,304,215,726,817,867,541,604,332,
316,273,350,331,260,881,135,828,691,620,802,671,746,274,408,622,798,613,788,
358,152,958,467,986,951,580,799,747,140,493,759,001,450,723,009,648,787,008,
674,827,126,481,466,597,135,898,686,519,031,502,729,774,328,794,808,631,829,
084,925,723,750,475,541,626,441,197,877,600,694,634,990,213,959,225,222,698,
601,005,394,645,593,631,285,034,379,351,403,478,503,667,207,747,386,504,844,
254,544,033,928,844,971,359,038,904,835,196,561,099,252,128,933,981,959,198,
904,397,606,623,995,234,765,296,829,729,979,308,075,993,447,512,869,625,076,
437,942,760,300,176,860,909,654,684,595,840,637,774,372,672,293,624,854,167,
112,779,357,845,318,160,674,541,358,562,839,697,345,456,750,612,977,802,807,
949,644,985,824,062,801,481,929,693,806,236,419,222,535,385,267,265,848,136,
648,983,565,464,327,621,426,223,808,028,204,663,742,055,699,233,947,055,577,
186,799,837,106,372,111,601,158,855,667,903,328,130,129,130,693,901,083,654,
401,411,660,955,227,234,925,313,124,544,183,792,102,745,178,016,512,337,379,
441,607,842,546,229,505,766,207,164,467,451,950,628,495,518,410,209,848,927,
893,462,241,120,608,017,276,853,199,209,271,456,119,163,374,516,776,995,840,
069,734,496,059,749,727,051,246,239,965,492,675,681,475,544,849,586,912,233,
098,816,400,514,341,074,151,421,180,275,830,055,456,998,904,449,066,508,363,
009,774,652,343,071,816,332,924,119,013,180,597,071,761,005,831,455,215,247,
903,818,576,243,409,114,402,785,889,521,427,042,038,837,271,079,002,408,595,
219,501,495,461,838,849,683,127,440,302,756,445,337,485,711,654,303,463,281,
074,879,661,834,323,318,803,839,854,569,507,702,242,914,274,620,869,770,642,
831,381,181,980,440,339,364,120,122,824,315,543,773,273,803,605,926,098,865,
972,780,262,139,498,342,798,062,079,934,922,706,538,989,692,726,518,652,277,
534,185,452,667,127,979,150,307,445,712,839,256,078,964,052,294,873,947,437,
359,993,910,678,344,309,128,274,366,746,436,119,587,839,141,812,417,349,185,
767,177,257,822,131,138,262,487,700,915,495,533,683,980,582,028,071,159,793,
604,921,509,386,961,523,334,060,063,691,429,553,675,571,421,384,426,095,445,
594,271,552,419,564,129,955,793,626,914,346,339,184,315,144,495,583,069,785,
290,211,701,541,072,446,085,472,347,162,463,074,820,412,361,143,835,700,072,
957,934,066,598,617,756,834,427,957,171,414,582,091,648,731,276,524,860,836,
468,730,781,805,308,606,784,096,399,892,656,451,782,805,676,142,562,486,481,
529,563,194,899,195,246,075,249,013,937,533,305,153,753,141,835,272,621,333,
621,267,871,494,402,078,345,390,138,169,653,409,528,715,833,953,415,922,199,
647,620,988,914,642,296,771,098,161,266,892,958,337,248,346,480,413,459,022,
041,100,919,022,357,294,789,363,218,736,331,663,799,085,418,873,805,264,730,
956,736,925,287,173,698,410,689,878,594,217,963,358,297,592,574,778,784,391,
783,084,987,396,984,031,039,598,064,253,739,920,301,272,390,378,020,306,089,
749,417,095,771,577,373,306,404,194,118,593,813,453,987,055,140,245,290,240,
617,158,458,691,266,405,244,454,033,329,827,602,991,856,554,913,117,237,353,
956,957,385,003,647,735,957,087,645,310,333,623,890,347,822,333,115,117,178,
849,881,059,192,568,584,841,585,546,601,133,749,902,240,306,995,539,958,485,
959,065,975,237,925,389,932,353,304,218,565,861,729,389,059,362,322,202,688,
257,821,711,617,508,834,630,624,661,683,357,753,012,708,889,579,825,172,824,
370,714,309,547,035,367,030,336,284,626,324,813,820,335,620,891,394,508,268,
462,962,565,740,065,370,834,565,235,272,876,013,041,896,728,151,301,816,896,
062,833,169,207,581,366,159,880,319,040,747,941,784,922,054,218,321,324,692,
119,420,957,984,280,137,586,933,470,905,864,130,294,391,709,527,140,929,201,
018,733,198,207,672,372,694,078,866,936,529,118,744,027,830,794,550,195,817,
564,773,065,992,347,099,589,995,756,904,350,944,892,041,058,207,398,453,857,
419,858,295,346,258,987,686,305,865,541,275,381,370,890,469,406,570,640,182,
554,858,845,562,578,597,228,898,106,451,710,409,063,538,436,540,530,288,343,
808,431,311,787,207,911,779,575,622,690,429,283,888,581,662,604,517,157,433,
924,757,277,076,638,493,596,463,918,881,895,119,416,592,966,725,851,746,188,
952,108,890,604,320,395,875,173,459,083,106,034,103,036,312,881,282,913,951,
314,751,399,129,787,981,675,105,224,814,023,464,900,867,754,876,693,007,240,
749,402,949,480,723,661,810,062,413,973,228,794,258,093,270,231,674,074,225,
287,070,124,027,754,550,338,873,426,919,004,848,499,802,914,854,092,458,807,
383,242,310,471,463,016,693,142,952,153,781,341,562,181,890,157,377,072,209,
646,688,702,088,240,629,268,722,456,562,432,185,326,589,903,254,047,157,651,
550,240,539,618,591,209,888,842,084,003,257,948,354,118,101,656,902,026,439,
728,165,639,422,346,778,658,640,455,863,307,686,255,663,284,901,516,914,454,
560,745,126,346,065,498,427,358,801,886,811,576,269,768,371,651,818,509,529,
225,567,664,389,225,889,005,205,120,304,998,636,756,115,295,277,455,911,938,
578,129,141,217,416,136,959,519,093,598,076,180,290,106,768,844,006,375,572,
367,632,036,189,430,536,943,861,585,827,958,780,399,464,317,016,857,207,018,
157,242,651,146,166,108,213,909,424,363,556,374,072,758,050,723,847,611,224,
760,479,974,260,726,236,527,668,222,154,601,108,711,268,571,993,726,797,702,
499,352,917,408,441,590,723,108,668,289,932,502,655,029,272,223,068,579,236,
719,976,979,451,514,008,961,752,902,149,931,468,857,012,247,172,913,218,305,
613,454,099,176,158,457,672,447,796,344,567,076,352,810,991,623,033,613,504,
325,766,878,316,809,608,608,654,975,119,968,796,791,130,603,495,420,725,759,
521,669,535,865,765,286,872,584,835,751,464,185,279,132,669,003,654,386,370,
169,445,031,917,552,090,034,118,295,217,767,331,627,463,937,386,766,389,577,
563,463,117,136,592,401,231,793,787,266,935,395,991,080,828,032,898,778,184,
554,484,201,809,310,785,878,470,404,660,866,035,907,041,569,586,525,040,154,
395,931,311,658,490,853,094,604,749,465,444,580,187,729,052,671,501,581,616,
219,534,620,123,993,885,961,877,960,424,873,099,442,213,071,391,946,621,265,
508,626,078,689,069,748,996,116,599,501,130,216,664,902,595,465,052,661,496,
842,195,213,272,810,431,283,057,481,066,726,466,300,298,339,575,258,285,595,
058,105,813,645,397,497,919,134,592,921,956,975,281,130,792,214,201,375,455,
420,086,320,395,299,054,053,038,652,831,835,615,587,258,845,206,180,511,569,
871,283,162,922,417,738,169,274,396,061,976,822,272,222,047,407,542,198,127,
414,255,261,756,624,558,471,873,885,578,634,337,797,505,254,069,704,676,131,
515,626,020,259,530,683,304,467,141,434,778,242,144,512,965,781,942,150,241,
957,344,486,662,912,493,493,243,253,231,101,024,892,124,017,505,929,062,222,
237,969,828,119,834,758,913,710,579,103,132,028,731,464,555,424,592,378,762,
956,055,368,223,781,746,352,362,385,541,739,258,200,335,632,364,885,571,782,
860,722,946,959,674,240,758,605,713,543,052,732,185,257,951,233,305,449,435,
756,045,197,448,980,393,150,016,426,209,772,098,850,086,937,928,340,299,910,
527,483,967,269,051,443,294,812,161,849,934,640,244,066,499,128,680,926,314,
949,116,849,399,533,968,240,545,062,816,426,966,825,033,204,400,605,808,327,
368,576,266,595,622,735,836,966,896,374,265,308,113,788,983,918,297,673,888,
124,827,742,239,468,145,769,604,840,668,883,271,764,160,993,402,420,705,446,
026,526,625,915,897,572,323,908,535,319,149,553,240,916,324,295,328,112,006,
656,634,442,197,647,334,575,976,489,667,995,162,012,444,047,171,019,409,452,
502,595,659,880,110,582,074,816,719,760,801,517,761,635,316,499,962,364,217,
438,312,859,591,899,460,913,423,183,942,776,350,039,742,002,659,919,439,962,
999,131,291,541,401,618,372,175,340,114,633,634,814,107,880,906,089,298,632,
567,281,822,275,057,455,779,083,277,627,724,776,275,344,741,647,654,839,667,
200,445,403,534,936,211,240,799,216,505,303,957,424,852,301,658,425,541,727,
205,114,415,825,772,577,511,031,489,081,250,996,087,838,472,337,359,745,548,
149,436,130,624,603,480,887,190,123,539,575,383,220,413,065,037,843,140,400,
330,692,766,564,287,136,112,716,060,409,486,404,780,180,727,574,637,331,931,
268,112,124,608,188,657,786,036,411,544,421,837,012,908,106,630,136,563,191,
259,486,143,648,244,123,408,985,425,374,291,439,131,060,941,020,449,127,250,
525,914,607,187,485,731,672,686,806,842,424,403,078,344,697,496,080,246,672,
084,239,414,845,665,185,597,003,772,461,061,994,758,339,450,793,740,723,985,
500,289,015,151,016,733,895,698,167,085,500,427,501,604,868,506,205,644,371,
154,607,710,583,416,155,394,411,320,515,910,435,191,501,668,385,670,865,927,
943,764,501,527,782,968,352,579,695,213,918,505,756,142,302,612,306,303,415,
665,006,283,696,350,086,811,082,494,240,252,196,162,102,552,186,226,928,769,
982,169,010,389,043,027,390,329,481,923,259,287,347,004,620,023,682,459,902,
171,917,483,685,576,227,731,986,340,088,874,309,599,171,605,820,780,983,482,
619,103,704,927,579,143,140,574,462,276,711,453,359,203,874,848,719,787,295,
002,323,501,633,493,023,083,514,116,897,122,930,265,858,174,413,580,137,041,
943,292,222,289,899,179,517,855,227,492,234,682,026,445,732,413,535,857,850,
123,005,306,495,560,434,643,847,076,857,152,854,338,088,977,267,061,131,305,
809,989,865,507,601,364,487,083,736,873,764,996,186,988,849,635,505,880,986,
590,738,850,609,075,823,065,388,308,555,724,436,596,497,942,444,228,844,971,
715,799,649,590,783,049,634,189,594,801,070,247,906,611,698,933,233,479,076,
491,956,454,127,307,626,548,118,542,662,513,583,508,393,509,026,619,949,102,
846,859,213,181,596,046,976,186,849,352,502,431,016,502,843,091,055,995,308,
703,482,559,471,268,227,225,692,718,328,097,173,657,754,786,251,384,409,876,
068,582,052,443,314,041,124,282,296,738,287,500,753,408,746,981,849,432,462,
093,776,768,124,709,311,799,686,758,915,122,843,328,018,843,349,694,395,806,
293,942,809,589,625,866,034,919,784,195,886,242,010,159,241,953,360,436,523,
167,260,417,544,269,396,132,150,428,940,634,617,484,992,114,924,145,343,598,
624,506,975,259,720,251,453,600,698,367,298,186,154,935,375,805,710,761,699,
155,024,508,221,101,256,741,665,019,795,634,400,151,680,168,261,844,133,856,
885,341,159,846,525,734,220,951,209,471,209,233,030,484,918,316,214,813,390,
767,550,172,472,035,645,726,765,952,813,481,448,687,058,937,009,280,658,003,
386,191,681,594,421,485,196,049,608,861,491,449,105,957,068,320,498,463,515,
414,428,510,841,604,695,366,824,803,015,159,320,840,374,965,523,857,035,311,
185,973,058,094,836,882,763,822,118,235,805,943,062,655,681,850,177,209,802,
817,245,537,945,979,306,200,500,655,663,155,110,153,362,264,839,342,435,774,
147,369,257,761,738,765,495,024,723,782,524,404,536,608,578,888,337,779,190,
680,361,118,613,368,881,523,098,581,047,014,282,113,093,516,613,676,388,469,
711,324,833,399,627,514,834,335,467,731,512,598,744,074,905,509,273,384,659,
236,778,876,411,104,220,525,153,030,950,818,722,993,060,438,657,827,200,934,
852,166,144,000,646,864,198,043,776,955,081,795,043,722,031,316,879,212,649,
041,013,830,202,501,220,281,645,253,241,312,665,260,362,078,578,790,450,978,
914,189,101,445,738,503,728,505,052,762,649,170,036,720,116,693,438,002,659,
590,565,664,078,213,656,996,123,736,769,248,829,494,312,730,267,288,781,321,
688,610,105,213,094,283,718,654,084,370,677,379,591,417,409,205,234,577,898,
907,163,659,125,734,607,557,738,170,520,894,341,346,168,855,240,751,602,267,
534,260,994,354,215,453,519,350,224,966,455,608,835,019,814,816,582,462,369,
086,793,285,579,173,778,956,848,118,532,801,878,304,429,502,111,163,552,816,
694,626,191,870,105,342,629,471,582,928,644,853,982,756,552,941,791,853,509,
566,832,150,629,800,346,418,181,170,174,254,071,984,438,212,670,769,254,079,
642,753,757,855,702,178,007,030,175,405,850,406,987,038,317,969,158,900,331,
828,014,814,616,618,444,517,446,593,128,388,894,517,608,474,498,543,924,922,
786,523,834,485,034,571,267,040,060,062,086,927,889,127,463,736,968,708,953,
778,141,125,307,532,031,524,697,334,524,113,150,793,528,108,506,622,682,444,
969,837,576,560,998,153,291,023,795,209,329,523,975,955,288,914,242,940,015,
681,461,411,505,752,469,674,323,542,703,771,894,785,455,409,221,677,042,005,
779,554,960,552,638,025,499,060,350,063,327,815,128,377,241,199,471,417,320,
006,328,983,393,413,289,016,178,288,005,700,373,121,892,527,701,300,867,387,
721,808,023,746,792,292,931,979,269,505,742,288,661,100,766,387,132,372,378,
746,885,425,917,989,590,367,637,143,715,771,126,846,326,315,474,437,692,190,
218,196,445,064,256,458,381,184,163,848,173,578,602,763,578,195,171,996,004,
690,045,751,236,098,717,370,906,665,041,505,975,327,227,592,855,214,572,389,
832,803,878,351,936,464,820,015,407,414,159,521,970,411,061,152,350,728,960,
487,905,697,532,754,294,350,101,759,992,602,238,893,267,629,888,437,151,240,
373,571,438,192,625,705,353,353,004,713,889,803,724,681,747,108,232,211,042,
277,583,007,801,565,348,778,134,702,243,246,741,281,826,931,461,777,676,127,
003,322,490,066,034,094,333,673,876,357,989,301,988,029,079,525,258,921,080,
890,430,459,074,687,728,925,745,372,871,940,415,529,685,875,285,943,336,609,
604,311,181,602,988,909,516,045,851,558,697,117,657,466,865,432,964,003,064,
395,710,123,326,372,260,842,304,441,267,487,506,720,285,876,491,917,483,023,
536,626,689,210,978,558,097,491,153,092,763,190,235,214,049,545,649,901,104,
123,851,164,098,098,880,383,324,480,596,263,504,639,444,537,285,354,672,665,
577,605,032,743,205,681,840,291,052,885,104,189,700,833,504,024,262,434,729,
683,974,476,453,856,234,345,891,480,599,549,861,313,878,025,218,864,829,268,
959,128,641,539,331,322,022,096,267,988,785,630,523,161,854,664,136,647,353,
303,498,342,875,389,796,395,222,432,136,149,459,697,620,597,333,778,395,486,
084,299,948,596,575,060,963,918,299,520,987,242,080,073,699,788,672,807,866,
058,964,795,141,122,530,337,222,995,816,772,847,030,592,165,817,925,458,892,
830,843,284,133,922,710,917,126,126,930,357,068,732,242,768,872,801,417,771,
576,644,700,465,280,783,015,814,383,329,057,932,471,319,157,769,001,954,503,
432,744,954,831,705,954,190,591,574,166,984,650,736,496,444,897,315,631,060,
796,610,891,411,895,758,582,106,887,735,940,719,235,062,460,456,251,088,014,
659,009,820,185,873,865,237,412,658,898,290,892,169,217,215,121,531,089,076,
781,184,063,275,338,215,075,481,567,558,246,524,291,250,088,147,378,275,397,
607,573,240,447,855,494,383,493,177,479,893,410,821,999,260,086,829,291,989,
802,023,023,966,340,761,294,780,339,981,755,826,578,327,364,802,045,357,776,
259,887,956,438,186,969,491,859,612,734,295,551,439,567,401,154,468,358,082,
501,835,411,574,956,886,547,162,813,073,944,921,760,185,282,635,416,505,267,
178,089,186,397,697,422,245,747,400,271,294,716,428,101,215,982,273,354,139,
133,724,003,360,058,244,797,145,368,200,135,545,506,879,961,262,175,540,499,
960,894,277,049,499,472,221,626,364,269,174,112,641,703,923,741,098,403,802,
385,335,426,415,797,320,070,973,505,893,336,895,223,911,688,900,751,063,518,
734,085,767,611,996,550,266,271,778,355,709,042,428,617,077,503,137,337,654,
732,540,807,341,388,017,342,324,255,288,844,148,809,014,079,636,425,093,621,
766,228,780,403,284,289,098,749,618,340,371,334,368,837,668,742,055,682,301,
716,123,819,266,798,430,695,304,917,323,826,125,261,467,168,278,026,241,122,
159,154,757,858,369,299,137,806,114,650,141,077,784,806,447,534,521,612,069,
747,440,382,439,721,307,808,521,251,319,244,209,530,245,967,759,550,889,861,
380,252,229,273,020,257,328,100,347,032,596,874,259,349,435,746,904,472,464,
512,314,888,323,344,875,488,636,214,927,636,661,702,312,105,481,126,995,546,
934,665,440,761,472,818,443,138,077,013,884,347,450,657,044,606,511,720,496,
444,727,555,713,252,618,035,000,576,072,879,789,811,879,282,399,310,030,292,
656,960,834,392,115,245,835,524,846,194,943,151,943,698,704,565,479,268,854,
867,527,286,712,778,044,869,411,916,856,177,859,826,320,825,525,005,898,936,
128,665,318,125,790,092,243,822,228,621,882,921,217,855,693,322,046,644,291,
383,603,131,828,689,535,497,977,900,091,615,966,991,572,092,081,721,272,976,
402,174,262,153,727,844,666,116,993,876,853,224,075,597,720,054,201,620,277,
549,357,796,048,003,301,093,076,193,967,888,705,212,458,247,859,488,194,323,
894,702,983,362,167,787,156,832,123,666,446,826,472,751,625,462,360,521,560,
939,381,178,512,654,453,499,463,090,255,959,322,797,913,480,556,066,646,152,
922,974,028,037,004,894,576,148,729,377,759,962,446,788,695,439,183,615,022,
719,202,181,180,346,197,864,304,687,041,750,427,187,479,007,115,410,488,805,
291,476,274,435,047,238,556,097,962,231,957,873,170,828,025,528,702,976,308,
084,421,438,780,559,296,821,421,296,020,132,591,355,525,101,175,136,919,345,
963,341,669,352,691,705,185,579,436,093,094,988,502,028,608,612,227,239,065,
011,971,626,212,621,152,456,089,953,428,914,978,196,785,904,560,842,603,153,
705,956,294,792,925,607,062,325,333,462,163,312,749,304,832,234,829,599,734,
286,258,605,801,406,948,644,736,224,929,469,180,694,815,494,275,382,416,259,
914,260,411,337,463,210,290,210,512,379,972,499,610,357,122,839,650,172,223,
715,554,134,031,067,625,678,323,061,935,303,931,233,327,195,373,548,820,729,
302,191,242,792,617,481,520,551,086,730,940,143,197,631,784,291,106,839,278,
284,035,972,152,925,056,006,258,379,761,507,987,842,362,725,216,108,442,402,
812,780,320,296,857,554,565,924,924,610,102,363,287,158,632,568,128,601,481,
454,088,279,099,314,789,668,462,751,072,248,803,451,578,884,436,025,268,017,
930,773,477,867,360,503,536,960,784,380,128,179,134,668,386,338,733,681,031,
340,070,512,403,291,000,400,178,199,149,185,641,563,924,670,887,149,808,921,
510,954,272,851,104,073,242,487,444,664,954,808,340,174,393,200,847,928,297,
177,084,078,563,283,404,695,422,594,621,980,411,281,194,906,997,633,474,850,
765,347,300,695,295,691,525,719,708,703,372,743,636,462,666,476,969,082,637,
418,739,199,877,398,722,099,813,803,024,246,888,571,455,322,520,300,839,956,
772,778,298,672,372,475,445,454,382,525,864,887,120,986,935,558,025,649,472,
161,283,731,163,404,201,912,052,314,222,828,370,003,550,427,049,536,918,143,
656,980,223,372,084,942,182,881,867,812,553,255,843,862,341,967,763,339,641,
913,985,387,382,862,696,189,218,487,501,248,268,873,224,282,486,142,359,375,
641,442,373,574,712,142,151,581,208,320,319,367,025,634,599,639,669,530,355,
221,581,610,320,916,153,594,562,743,273,621,384,928,231,094,385,989,893,646,
644,797,078,319,177,644,650,066,269,704,459,778,335,764,730,897,969,383,786,
004,266,824,446,899,813,535,444,496,733,918,768,609,751,927,818,038,626,378,
152,191,865,806,478,431,030,374,178,327,017,678,365,559,051,349,252,840,522,
411,639,982,365,332,383,620,547,690,827,377,318,410,547,664,558,534,142,907,
459,927,581,315,537,956,465,691,473,851,601,523,843,596,294,018,962,543,838,
121,683,536,932,001,549,505,072,671,701,887,560,088,096,291,736,925,196,150,
919,350,137,367,634,679,367,222,154,009,218,974,752,452,975,017,988,566,990,
068,297,695,140,971,287,446,795,143,760,658,985,885,374,744,787,358,862,940,
144,107,677,387,000,599,620,654,963,485,467,981,558,310,694,413,788,393,082,
553,609,305,881,135,280,047,167,427,986,628,157,269,821,435,229,613,651,841,
473,159,002,318,557,783,760,006,692,247,326,266,237,021,883,207,015,358,755,
332,851,614,000,845,510,672,038,878,537,080,646,839,247,327,294,266,417,905,
819,081,056,544,982,480,042,326,755,817,073,729,308,012,975,008,403,323,975,
397,856,344,870,997,878,354,890,494,258,487,299,810,480,484,811,836,003,934,
436,582,519,711,056,773,259,585,841,395,901,969,906,673,594,725,044,173,605,
496,943,802,201,306,779,837,377,882,330,356,162,802,532,269,961,531,619,287,
374,861,333,877,239,188,818,601,744,287,113,039,712,611,689,757,583,906,758,
124,950,623,279,027,299,079,610,886,664,260,531,466,709,509,860,169,538,168,
659,549,838,104,301,312,440,799,183,172,695,077,922,323,654,972,274,650,385,
684,960,254,227,066,574,848,999,132,185,429,115,345,061,167,312,656,852,435,
873,717,013,800,182,064,307,773,117,185,627,839,544,141,202,228,743,716,298,
414,463,204,164,889,882,925,419,391,624,273,858,128,745,078,859,265,087,514,
988,903,416,970,959,992,559,413,674,102,888,107,308,983,986,699,700,985,226,
999,095,820,710,936,014,919,794,116,368,772,602,808,640,516,317,556,014,039,
087,334,355,509,140,967,292,574,643,698,065,773,243,929,608,152,388,104,068,
040,020,387,921,911,957,838,156,884,189,482,637,556,547,341,533,426,523,827,
074,359,001,959,427,058,379,191,358,658,417,469,282,540,026,674,530,575,052,
782,680,832,431,818,181,063,820,835,269,993,481,400,545,171,097,811,111,218,
221,332,815,021,083,521,730,976,339,042,967,741,579,616,277,088,615,456,571,
780,939,226,208,013,769,475,740,475,883,002,747,903,223,711,272,208,205,322,
423,576,287,533,932,603,178,908,145,730,954,735,722,977,010,525,697,140,761,
641,680,099,741,388,376,133,832,032,079,519,386,166,673,512,015,998,822,584,
289,764,309,612,222,578,012,030,673,883,062,049,915,186,162,815,812,802,081,
490,020,275,743,985,360,714,914,629,282,903,175,197,149,688,618,603,965,681,
219,783,056,375,127,382,015,778,136,810,786,741,197,386,659,227,504,422,501,
576,134,178,623,197,418,037,280,627,199,285,666,293,775,712,895,804,893,833,
638,675,355,648,018,062,337,037,862,560,731,747,678,673,479,598,037,643,817,
634,629,499,687,956,337,967,087,617,395,158,321,684,963,639,815,716,898,342,
374,052,505,192,679,179,612,434,906,683,583,797,028,583,839,946,603,071,589,
286,565,532,518,720,792,009,012,090,783,299,375,596,447,402,219,967,048,740,
603,488,533,630,671,988,670,271,705,679,101,934,418,105,058,579,391,108,277,
005,144,004,093,212,503,221,006,168,413,924,704,208,858,611,438,875,346,340,
106,954,278,605,958,443,353,227,894,441,477,393,277,290,599,412,808,419,815,
311,505,579,655,941,012,366,824,105,167,643,747,365,902,279,331,409,260,335,
516,994,860,745,955,805,272,008,942,716,709,843,369,832,326,184,640,990,299,
441,334,470,866,128,055,301,815,947,265,976,840,787,893,777,797,344,764,163,
015,590,722,632,615,525,410,789,454,050,841,181,850,480,170,585,912,355,184,
012,419,006,816,775,281,806,004,996,002,501,951,973,789,755,420,094,894,065,
025,314,787,377,250,672,425,192,296,610,293,974,957,967,841,727,123,951,097,
813,732,012,938,619,797,693,637,195,456,585,565,204,105,763,292,580,886,748,
761,202,056,738,153,684,399,388,539,683,534,010,302,156,763,048,807,099,379,
610,033,689,633,769,510,264,253,389,786,628,243,794,728,980,027,272,785,708,
602,336,939,347,512,733,259,464,684,631,514,668,575,224,647,541,266,344,645,
435,878,282,224,424,901,884,628,342,169,504,197,277,095,072,614,262,516,446,
168,614,960,165,100,669,515,506,211,022,785,767,541,880,440,477,564,895,172,
050,168,994,775,419,705,521,466,546,504,875,714,449,157,177,808,522,528,016,
508,865,227,728,187,835,595,425,720,679,269,596,727,064,221,218,391,487,599,
319,640,028,779,904,063,454,533,126,367,078,925,550,807,167,368,325,565,055,
636,949,661,927,848,006,685,652,560,843,859,095,409,974,791,710,342,813,267,
061,519,592,982,138,016,987,046,427,099,157,528,964,531,740,729,032,085,538,
277,743,637,217,119,403,282,107,806,168,530,958,346,343,226,617,343,345,056,
496,438,790,475,921,251,794,816,985,741,806,288,190,794,221,145,257,986,511,
521,733,990,770,727,272,637,410,808,701,090,366,025,245,395,628,553,519,162,
317,284,252,796,744,644,879,089,181,782,899,862,359,517,044,808,230,495,272,
190,528,803,112,432,143,277,145,650,940,036,261,090,224,668,255,511,291,862,
561,731,203,246,732,465,913,022,934,907,720,579,085,494,267,723,517,349,555,
180,549,542,167,708,315,842,155,955,831,450,045,356,600,793,273,137,875,299,
467,172,798,748,382,379,366,855,873,374,060,714,121,790,626,324,442,601,953,
651,655,972,414,295,386,053,065,881,741,454,260,482,840,509,898,934,512,742,
429,849,713,841,956,899,551,646,709,745,872,666,887,788,018,346,307,442,244,
508,770,217,374,698,674,409,772,953,995,935,842,670,095,731,065,446,713,868,
390,270,478,682,964,210,546,332,587,363,360,079,807,187,276,180,234,455,623,
256,472,250,627,161,721,702,335,671,874,788,333,915,006,715,725,184,231,706,
325,601,878,060,716,973,909,251,080,501,518,590,296,958,004,012,038,763,352,
553,072,688,546,443,954,783,443,648,075,288,374,761,298,667,844,990,424,418,
036,592,899,479,165,853,706,620,065,971,526,235,524,258,082,199,906,097,379,
622,142,376,140,441,774,511,617,102,889,000,368,415,823,965,208,687,326,163,
527,964,359,099,939,283,422,001,339,388,055,138,634,500,211,557,086,659,459,
197,334,979,893,034,782,606,929,964,564,646,341,200,230,415,699,430,583,537,
513,377,373,687,657,809,173,533,461,939,465,455,119,879,885,258,630,554,238,
934,262,294,701,897,886,509,553,746,658,252,922,957,876,220,640,182,732,508,
815,444,091,081,980,487,601,622,907,720,414,176,820,645,341,943,862,979,661,
915,687,938,265,996,761,967,469,644,481,997,009,759,674,050,835,772,344,474,
904,728,715,533,514,796,863,823,084,522,241,806,538,707,551,417,464,214,642,
737,341,824,801,087,174,486,039,263,493,699,503,730,126,920,657,708,413,876,
039,054,412,702,744,285,689,308,167,924,182,948,776,458,659,128,750,902,386,
240,538,669,589,322,999,210,754,814,349,445,175,836,950,564,882,810,939,165,
368,040,605,186,026,160,061,038,001,105,161,546,455,473,472,060,552,219,246,
680,167,726,787,070,237,396,681,785,867,045,915,718,544,229,007,729,510,053,
468,442,631,087,994,827,558,652,016,590,081,020,624,879,620,224,650,866,224,
621,401,223,782,798,656,721,649,750,074,525,410,343,009,868,498,822,118,379,
776,727,239,092,992,534,122,978,430,160,779,821,541,647,975,909,647,532,442,
254,030,648,287,361,399,325,275,777,686,864,610,201,570,585,486,133,426,087,
494,936,684,290,233,450,531,926,337,800,304,990,090,865,645,549,960,042,463,
676,728,739,071,946,693,906,230,484,240,334,355,486,979,832,382,133,104,224,
254,796,743,741,402,315,466,885,848,484,870,227,857,341,452,718,583,025,190,
766,620,630,992,942,813,129,710,013,016,150,112,440,756,751,631,572,299,530,
657,148,883,211,903,446,542,069,857,236,906,336,947,959,019,881,554,406,857,
264,034,743,580,587,558,994,792,843,461,280,311,039,077,535,113,677,484,187,
060,659,394,546,025,070,878,464,090,882,216,263,416,185,948,139,030,924,857,
024,762,772,997,156,030,976,339,126,099,771,970,583,665,495,252,651,913,874,
911,669,938,499,854,753,011,912,620,743,464,065,346,632,321,712,175,739,963,
582,459,403,398,771,669,611,910,514,178,606,268,089,492,272,746,687,121,284,
641,263,963,116,434,264,164,802,072,554,585,569,668,801,430,481,696,342,709,
576,387,997,900,431,941,482,291,445,115,844,453,038,724,070,830,768,594,063,
553,893,712,625,189,391,379,581,615,503,710,090,955,016,022,864,108,407,863,
212,038,094,153,969,327,411,782,146,662,565,765,375,175,116,702,060,833,802,
270,522,332,957,473,468,199,476,849,694,111,084,535,426,955,974,222,523,584,
301,824,810,294,810,876,734,545,901,439,394,067,564,962,848,850,986,846,391,
472,740,012,116,894,114,644,208,769,569,296,129,687,065,094,748,939,406,855,
389,210,183,676,206,148,285,197,799,300,860,146,122,095,924,113,273,129,593,
960,949,202,387,321,949,608,768,243,844,674,322,148,675,020,091,294,673,494,
653,590,079,586,694,008,585,203,570,143,232,731,541,917,569,635,473,648,727,
656,936,893,125,208,113,674,567,234,611,711,883,773,879,323,692,139,433,683,
809,225,371,881,215,244,717,957,751,138,816,715,495,211,543,929,095,772,190,
864,314,533,241,196,862,983,491,193,773,285,694,941,664,725,384,345,113,552,
974,026,846,133,781,944,498,288,455,562,879,118,378,641,538,755,976,682,605,
372,556,312,811,747,336,357,842,321,437,539,319,262,254,562,063,750,562,948,
500,461,625,657,536,000,270,619,380,961,126,929,009,454,217,476,140,452,961,
252,435,003,488,304,750,826,116,720,269,854,696,038,025,614,948,381,431,800,
389,748,907,764,221,616,381,383,191,618,136,348,623,670,922,094,251,018,329,
271,880,839,907,440,990,238,301,857,199,746,942,008,179,353,448,716,384,275,
299,582,747,783,747,516,330,449,573,026,367,131,216,699,775,310,168,335,347,
920,678,399,716,159,266,633,713,087,885,508,698,251,192,340,348,877,718,579,
362,683,532,569,616,417,000,408,647,626,517,271,542,350,852,951,281,006,527,
980,512,977,964,192,533,211,898,835,962,744,654,656,055,224,797,692,180,599,
906,595,750,458,261,212,096,574,911,849,313,948,475,482,873,820,844,707,239,
742,274,184,329,465,283,839,900,978,966,781,886,984,178,044,191,086,612,610,
595,949,430,808,003,559,966,071,244,819,358,335,693,318,210,908,356,993,620,
113,086,213,336,858,689,560,697,943,353,203,811,582,938,115,720,639,607,588,
006,002,119,632,544,317,681,730,089,917,313,490,216,161,209,297,105,013,836,
884,248,574,414,458,929,689,954,547,439,513,522,473,515,590,819,503,240,751,
884,247,487,456,350,107,172,756,500,247,449,966,519,523,601,353,089,558,515,
003,745,640,752,168,222,803,404,789,391,723,267,563,024,488,193,832,477,803,
551,797,089,330,309,215,294,886,564,510,385,143,622,160,962,794,233,327,611,
192,149,572,972,888,314,845,349,845,134,917,396,669,536,102,254,269,879,696,
263,502,611,441,787,694,470,279,590,957,015,943,071,199,503,852,793,287,223,
729,105,194,010,567,771,145,727,074,591,706,883,459,512,400,435,056,945,079,
609,785,359,107,839,481,647,622,334,106,457,071,585,403,411,221,593,048,280,
537,796,583,200,083,824,010,132,855,167,349,449,686,646,876,888,782,153,487,
479,904,627,832,697,796,101,595,324,103,271,484,133,717,682,875,771,322,659,
481,618,613,327,535,676,340,248,325,186,750,020,588,295,063,685,257,239,631,
841,203,352,662,642,222,896,689,588,604,673,035,488,505,006,369,186,924,205,
659,583,409,397,764,700,702,969,439,342,835,917,455,307,100,562,956,396,445,
948,702,660,097,317,377,419,820,151,289,523,229,445,654,758,317,973,172,947,
603,940,482,255,782,352,208,607,711,759,043,134,427,554,754,513,005,770,537,
500,574,873,467,486,906,824,825,244,884,485,682,548,126,713,990,205,984,629,
098,228,738,770,517,709,752,595,250,474,690,806,006,513,364,186,320,893,861,
046,777,711,514,049,562,254,999,259,956,781,730,010,741,701,702,004,428,616,
098,742,093,326,176,350,736,484,105,232,751,440,639,929,190,543,180,591,269,
949,447,524,433,882,345,973,921,491,858,796,436,290,773,915,491,873,158,270,
091,131,505,400,441,149,151,096,602,597,348,375,862,503,560,344,698,459,212,
621,108,526,117,439,302,496,187,513,215,784,117,141,493,748,955,995,552,141,
883,930,582,473,116,523,682,636,632,519,753,621,135,161,407,703,278,375,212,
841,733,869,732,492,986,548,079,475,987,596,774,055,938,340,962,109,315,457,
167,368,843,114,450,100,276,617,934,448,557,695,588,276,203,877,711,905,369,
518,696,838,833,401,357,476,270,951,201,571,392,260,611,266,237,061,484,628,
525,216,348,330,614,704,783,011,449,883,048,984,241,374,107,340,427,651,036,
324,009,013,166,045,494,154,227,549,778,925,910,052,666,052,891,940,030,642,
625,641,806,901,937,572,058,534,291,257,068,421,477,951,425,176,660,170,018,
407,241,590,378,581,436,743,164,148,601,160,811,748,024,465,261,583,283,090,
239,413,056,891,875,548,314,552,985,583,498,587,437,330,136,577,956,779,544,
928,901,698,893,062,065,029,793,422,677,546,547,622,222,150,478,990,051,020,
487,109,043,775,436,466,035,123,463,457,145,571,944,634,710,654,578,465,011,
714,440,527,306,565,112,181,776,172,791,035,679,662,821,527,052,426,859,814,
520,003,367,617,201,575,942,522,435,415,188,815,307,401,508,417,542,654,299,
821,732,373,222,366,962,011,879,207,336,622,974,716,031,608,337,510,610,095,
402,358,213,230,235,333,060,843,219,530,733,598,919,458,167,551,510,175,227,
280,278,884,419,571,489,262,991,624,861,767,123,698,090,995,159,113,152,492,
973,450,519,503,019,669,027,127,185,396,049,562,544,358,841,643,186,670,094,
811,583,566,636,899,863,409,464,902,317,042,457,829,576,818,533,823,625,622,
763,950,604,018,790,287,437,492,259,957,666,993,072,769,746,017,807,890,876,
596,590,313,638,116,907,266,411,898,040,432,311,030,214,375,926,062,571,400,
627,142,307,451,247,011,665,845,699,406,935,825,271,632,170,753,921,519,317,
567,428,996,708,970,358,683,279,779,408,671,945,531,050,288,734,850,593,469,
489,359,740,067,893,547,561,423,105,509,791,973,068,100,296,220,894,137,839,
712,448,921,028,462,560,547,260,002,644,077,457,059,388,303,778,178,472,681,
599,994,127,152,133,024,931,379,676,097,349,369,851,035,593,882,474,655,826,
764,352,891,488,374,016,635,677,172,694,724,625,112,627,233,429,561,137,875,
050,262,517,996,098,451,485,232,848,667,871,779,343,245,470,645,361,756,130,
442,608,451,255,967,936,074,637,341,700,499,049,482,375,980,084,844,313,563,
671,730,140,593,067,101,859,089,024,252,508,200,544,265,559,626,481,218,758,
206,307,079,780,138,381,564,358,717,386,128,669,349,580,137,224,642,142,444,
008,003,418,498,595,689,333,615,695,308,882,352,769,642,889,250,004,045,409,
236,164,482,273,167,998,891,436,467,374,781,627,214,317,704,859,487,309,668,
084,926,005,189,514,561,140,850,509,033,736,881,634,226,607,980,282,092,441,
025,024,486,092,358,026,025,697,400,457,554,375,731,411,802,126,563,001,298,
328,832,975,970,033,883,737,334,173,155,970,278,053,652,414,687,096,176,101,
110,389,397,267,491,995,408,858,474,307,932,846,468,927,747,441,476,394,371,
941,026,662,211,601,806,190,643,473,519,445,379,644,564,785,275,960,809,569,
310,967,317,694,008,786,914,108,971,154,403,592,427,855,687,718,414,608,373,
002,746,074,815,449,869,521,689,247,531,010,128,470,117,643,816,486,818,655,
526,880,762,940,715,295,246,424,205,644,053,159,217,132,722,836,497,930,770,
160,960,043,461,311,804,153,335,723,334,653,896,676,800,458,207,221,503,916,
301,559,261,509,309,840,958,665,107,112,084,704,651,773,669,920,077,243,231,
387,201,097,906,895,181,615,017,105,230,017,323,940,786,844,595,215,800,606,
453,750,179,439,951,360,120,875,082,559,096,110,855,012,199,109,134,961,629,
142,123,669,058,045,013,051,588,149,162,400,171,358,002,618,402,059,567,745,
149,020,752,857,881,025,120,637,459,312,246,519,272,173,859,897,368,097,444,
907,175,812,539,781,642,785,286,903,588,744,573,943,039,830,283,110,633,904,
493,293,573,619,228,993,445,913,565,432,145,246,007,262,288,453,010,374,479,
144,949,506,968,957,639,959,680,356,859,945,801,695,525,452,861,939,235,930,
396,534,827,989,755,808,855,702,949,605,949,294,411,226,950,697,309,001,328,
579,512,274,245,739,176,741,357,697,570,531,915,411,451,943,712,603,275,386,
756,737,767,276,232,081,745,457,180,229,454,774,483,049,996,981,554,871,405,
857,030,585,349,771,244,441,147,018,508,551,208,854,985,040,723,443,140,995,
043,224,430,257,333,442,775,475,536,036,068,106,460,605,279,475,650,715,272,
535,758,431,771,756,785,763,798,549,128,540,651,014,816,682,122,558,962,467,
821,566,015,632,164,089,903,506,942,530,428,731,734,785,152,535,785,569,183,
717,913,164,418,246,078,007,890,765,658,393,100,075,755,160,149,476,054,903,
627,075,832,900,161,913,868,891,421,510,872,079,061,486,472,339,777,851,031,
811,727,347,628,721,468,394,683,619,314,152,177,757,130,874,023,230,804,048,
046,609,101,103,747,312,005,967,169,513,262,998,876,357,827,608,600,897,870,
734,089,888,977,301,429,298,280,765,123,411,523,083,257,371,189,961,388,342,
185,814,727,633,253,340,103,874,042,687,481,471,970,781,638,683,496,561,457,
404,917,525,837,939,943,888,215,985,004,242,030,358,539,024,412,016,805,774,
987,776,527,099,445,480,305,120,671,372,133,936,957,980,123,457,527,414,486,
570,640,195,419,140,179,168,587,916,411,182,869,009,413,635,021,663,881,923,
784,882,810,659,863,609,746,782,613,425,026,000,481,212,550,523,152,824,291,
119,492,646,846,479,615,521,155,203,534,969,493,027,800,777,959,452,322,582,
738,036,906,535,542,512,197,754,253,899,986,132,384,526,797,398,643,339,981,
729,352,533,811,391,172,445,316,025,338,596,762,662,089,684,536,025,876,723,
223,115,107,901,398,115,350,307,854,630,978,939,431,734,649,675,226,091,822,
269,556,642,512,225,876,116,382,104,203,850,392,706,834,273,907,970,347,517,
606,304,016,083,246,107,267,691,015,124,598,288,733,980,712,028,002,998,607,
335,583,816,571,088,501,104,526,516,152,053,420,652,445,126,432,358,027,116,
390,381,708,057,544,596,534,704,566,334,821,341,833,333,041,512,038,983,309,
582,279,578,790,318,669,772,506,815,345,060,306,940,090,354,304,272,778,778,
820,512,323,294,687,433,924,656,321,563,809,624,516,125,989,459,642,088,643,
996,605,732,378,719,895,865,974,467,170,248,005,477,896,085,718,088,533,584,
820,621,859,516,660,139,424,785,983,384,182,519,596,405,933,040,369,149,200,
398,526,650,370,069,168,454,686,758,648,737,645,801,372,507,984,158,699,966,
944,507,930,827,386,156,772,092,931,046,925,591,789,347,189,096,180,388,649,
798,853,277,471,778,633,539,306,358,992,333,837,313,332,727,037,608,975,530,
000,252,899,499,485,754,921,235,294,441,509,564,853,843,591,789,946,536,724,
891,798,713,593,932,021,210,207,734,878,117,929,417,538,996,169,735,187,374,
756,128,035,090,597,929,752,075,074,678,452,366,412,012,530,022,473,395,655,
570,949,239,786,422,536,673,138,593,083,242,455,091,054,494,509,450,595,105,
645,123,894,106,325,163,329,854,480,498,480,283,129,632,763,413,242,784,354,
713,538,793,716,485,691,094,235,363,365,015,693,691,163,640,378,060,228,671,
099,158,655,459,120,802,325,234,196,265,868,242,021,825,420,895,395,503,976,
125,811,661,950,969,389,654,030,299,803,329,580,894,789,255,459,245,006,531,
586,304,411,294,741,150,154,130,644,561,409,661,996,934,963,856,153,528,913,
283,702,232,745,907,634,875,853,622,756,112,739,311,816,290,430,552,684,965,
528,302,906,270,667,542,521,838,566,362,737,260,905,041,916,933,818,112,060,
121,473,004,915,960,120,251,952,443,612,819,634,716,800,317,277,511,793,861,
247,057,145,248,100,884,069,307,518,243,563,486,483,194,576,968,881,444,340,
912,177,607,688,350,355,010,713,918,249,373,330,954,035,632,519,422,310,662,
261,075,646,961,304,606,725,924,602,897,329,624,569,524,156,667,776,767,188,
123,939,199,309,444,470,246,384,352,414,284,614,942,233,862,239,969,088,427,
386,350,904,573,531,024,963,056,468,467,668,316,834,034,021,957,624,012,315,
786,783,387,535,456,819,169,408,850,499,471,509,859,060,174,117,619,547,013,
865,149,076,205,636,742,214,434,137,268,821,542,697,200,735,842,990,807,995,
742,895,861,792,641,657,916,044,367,128,123,997,916,819,381,394,271,412,457,
834,359,939,259,305,113,350,792,520,579,241,681,554,465,800,395,830,193,988,
808,746,209,347,097,933,948,376,585,921,496,023,285,779,023,302,681,715,798,
322,102,077,021,217,104,683,127,314,998,710,074,665,389,553,441,856,380,486,
397,456,770,105,220,721,559,236,746,499,161,003,668,346,036,785,191,182,702,
422,864,591,082,760,323,148,983,501,111,244,088,984,126,659,584,247,073,051,
979,318,115,962,078,476,297,819,543,726,422,343,973,729,436,057,696,320,729,
962,789,708,742,595,682,065,865,220,548,118,342,400,375,072,284,338,263,443,
251,230,246,545,731,593,470,699,340,690,017,676,684,948,020,905,542,682,911,
246,253,079,014,760,876,501,719,654,629,669,476,651,324,129,065,168,501,061,
727,736,554,383,172,708,686,349,542,635,256,869,567,672,341,177,578,127,777,
435,422,258,305,370,930,880,117,645,544,424,492,091,865,005,250,742,422,047,
338,590,636,746,920,547,869,437,494,298,496,853,138,537,560,002,736,688,698,
387,837,652,413,449,208,384,168,737,406,457,700,259,050,410,615,088,223,218,
350,468,126,937,604,712,212,670,706,972,173,543,145,217,518,959,503,137,822,
037,977,542,576,950,253,521,156,844,187,741,026,039,549,176,406,629,636,308,
967,918,403,715,303,384,180,716,016,947,331,246,966,441,913,083,707,024,100,
613,323,951,270,036,029,091,360,254,683,122,734,027,502,991,227,746,701,868,
449,973,277,256,973,605,476,892,019,694,606,336,436,547,345,549,355,933,941,
090,442,413,621,075,430,414,800,993,646,720,137,597,368,501,593,451,155,891,
476,038,844,659,641,428,516,348,469,319,097,082,157,653,516,945,159,958,907,
853,338,105,003,209,894,810,357,239,701,685,960,903,743,003,887,832,562,986,
285,527,693,467,122,848,046,368,425,091,016,382,290,696,950,354,682,524,907,
121,091,807,745,661,122,855,729,364,658,458,590,633,103,555,267,606,099,558,
296,349,089,892,445,713,576,995,933,378,634,987,033,841,094,721,457,836,112,
666,998,621,402,405,199,741,826,367,556,058,845,845,795,645,142,331,472,344,
916,819,482,870,492,738,829,891,827,307,417,961,038,002,438,574,480,289,176,
499,765,801,937,932,106,323,349,382,295,895,311,032,079,823,510,917,537,700,
320,735,206,907,948,943,710,567,074,095,856,882,836,235,107,712,522,701,343,
134,425,731,059,796,258,320,310,074,890,477,215,188,311,341,837,251,398,232,
661,281,234,130,025,796,921,171,336,133,546,001,512,473,102,822,481,737,491,
787,780,841,199,875,130,734,961,223,589,404,264,563,881,865,943,131,844,015,
436,564,004,334,306,379,701,361,774,786,555,279,894,407,871,609,447,798,670,
424,787,613,291,050,221,965,294,544,702,283,020,587,757,797,502,026,992,609,
267,581,457,317,302,044,518,427,006,949,370,040,392,521,992,903,010,460,413,
318,088,607,479,432,394,631,476,824,597,665,579,826,008,612,325,168,390,705,
341,951,250,722,045,556,918,712,142,578,726,409,270,669,940,562,569,111,319,
113,501,473,803,374,280,557,042,958,054,893,506,266,925,601,563,641,600,182,
467,951,244,905,047,779,549,062,255,493,991,373,328,506,006,238,526,249,461,
107,505,737,503,425,428,752,910,918,329,228,797,968,330,082,162,118,873,735,
873,100,731,854,399,292,457,310,553,760,500,502,153,383,592,005,267,650,552,
677,192,232,313,055,091,848,034,775,080,098,020,787,799,243,719,126,115,516,
110,647,855,454,639,265,112,517,857,983,073,420,919,151,020,744,600,520,417,
708,847,367,787,754,822,320,105,971,139,909,101,827,784,184,213,235,205,917,
373,872,054,315,908,605,119,695,245,261,360,501,321,189,875,202,133,974,135,
173,838,960,031,411,838,177,004,214,933,600,715,420,120,910,531,010,095,326,
365,497,920,088,265,832,410,995,302,122,211,576,894,667,701,756,676,519,733,
903,186,686,360,131,413,573,391,966,799,221,540,642,297,089,457,714,706,720,
905,142,180,483,908,579,319,688,946,694,233,834,651,647,328,050,816,126,015,
525,038,795,191,687,729,351,074,364,962,658,891,803,926,938,687,639,270,905,
844,649,962,935,027,403,284,622,953,702,752,610,816,679,869,309,619,334,140,
274,797,527,130,116,874,156,510,861,637,833,993,543,920,442,621,714,263,098,
112,084,698,763,583,635,021,540,173,874,215,818,289,382,827,455,210,035,420,
628,796,062,100,179,025,725,580,800,728,639,584,893,983,296,436,043,757,418,
021,956,112,594,694,576,023,203,064,456,812,018,962,092,926,277,480,290,360,
215,966,103,123,733,243,646,503,029,694,766,438,120,086,308,706,735,948,395,
968,939,012,045,162,193,780,843,697,522,262,415,199,423,965,252,629,292,524,
251,743,187,611,148,286,812,944,883,241,848,210,447,426,117,472,831,338,561,
439,899,813,768,086,579,893,781,938,207,139,259,544,173,377,243,960,345,617,
126,396,426,488,509,576,330,173,408,688,467,343,388,032,966,881,952,884,339,
328,852,958,128,545,103,362,744,023,155,523,953,463,094,979,949,393,723,669,
795,568,211,204,871,218,182,059,633,983,922,346,854,725,242,514,588,129,065,
719,877,197,080,081,485,698,686,769,982,154,781,730,759,878,793,489,865,576,
710,694,925,699,466,290,810,562,641,895,551,108,740,715,629,078,920,776,223,
912,806,258,211,512,915,763,898,827,004,511,271,649,453,481,977,902,105,304,
325,895,390,404,663,817,518,831,472,202,626,514,193,480,511,316,474,124,725,
881,575,886,321,244,935,258,700,467,042,726,637,124,090,671,440,885,842,533,
247,952,943,711,856,478,065,172,078,953,667,697,250,905,535,918,996,454,882,
158,390,628,005,449,289,147,794,604,990,478,030,522,237,812,266,267,814,072,
494,266,032,633,497,329,743,816,270,014,322,302,064,749,395,056,336,764,809,
616,377,467,276,719,172,472,036,352,615,447,854,247,994,023,870,827,196,280,
323,439,408,168,683,155,296,730,544,311,935,814,781,463,767,076,550,480,167,
181,625,634,394,243,918,050,773,521,490,575,828,807,866,263,299,680,637,413,
207,222,214,177,626,467,818,287,709,349,678,423,549,195,879,779,676,310,105,
557,080,024,309,539,321,652,206,286,033,339,968,657,656,230,476,609,520,790,
757,346,831,592,239,510,053,558,427,057,247,225,154,748,449,227,166,189,783,
803,974,280,298,445,121,278,422,417,348,272,085,760,433,631,859,075,110,570,
853,120,860,091,369,972,855,004,387,388,748,010,481,359,104,675,927,038,102,
753,777,185,737,173,820,967,316,506,214,414,178,327,499,039,427,747,302,288,
648,861,885,545,000,823,467,143,801,809,966,660,667,976,136,388,000,860,962,
091,540,164,851,309,277,093,440,315,323,973,494,669,254,839,087,211,597,285,
027,778,896,210,871,566,533,766,146,939,190,730,269,204,217,878,470,211,149,
759,479,503,225,233,806,913,518,872,401,548,526,062,513,340,181,608,266,301,
018,057,029,651,316,410,012,362,364,421,260,843,471,998,342,515,629,558,130,
666,991,869,425,895,768,795,680,455,078,192,946,304,912,528,794,759,921,868,
701,842,363,128,169,367,325,360,902,564,476,184,049,226,363,557,372,473,747,
938,002,167,273,957,362,261,625,525,274,169,032,645,325,364,845,267,705,156,
276,615,413,471,437,486,632,223,033,876,662,041,408,837,832,430,605,527,675,
732,738,042,288,217,478,305,312,446,026,417,770,086,897,912,999,420,877,926,
227,733,973,061,798,865,407,502,763,556,565,350,535,163,791,389,176,504,280,
159,162,193,723,154,142,234,454,485,708,426,768,690,640,845,092,798,405,329,
518,681,493,021,322,348,763,434,821,923,070,930,384,671,498,224,726,405,818,
045,489,882,559,290,216,580,084,984,924,589,237,066,021,931,707,857,431,656,
526,897,174,006,929,547,793,191,168,209,074,941,407,281,815,062,562,012,443,
268,334,602,000,260,287,214,296,094,388,007,455,640,628,352,903,800,938,223,
299,265,768,544,472,750,999,040,015,215,379,915,950,082,594,929,666,082,211,
139,401,194,569,782,225,468,470,625,714,803,912,005,363,197,592,076,457,888,
864,066,507,485,552,763,964,353,926,992,692,546,122,202,196,727,341,626,782,
831,478,046,515,979,063,130,710,217,827,794,259,962,735,056,495,498,404,978,
880,838,147,057,664,539,376,653,061,957,081,684,120,124,158,578,722,393,659,
697,296,081,272,077,844,609,978,276,251,918,515,937,669,736,739,232,865,919,
483,765,056,188,576,900,801,502,078,531,231,653,005,544,759,910,419,338,871,
050,521,223,912,010,310,807,664,965,474,956,254,672,535,358,290,650,011,374,
531,475,869,392,521,091,040,726,110,254,274,644,004,941,171,469,341,484,925,
368,303,066,181,515,558,392,101,567,209,495,870,066,188,375,789,599,484,950,
484,596,076,331,906,841,426,896,494,405,782,359,581,306,001,285,069,517,424,
606,600,053,863,141,777,864,436,779,112,589,536,931,858,918,828,635,959,802,
979,762,738,182,559,579,043,312,773,503,828,603,829,038,336,511,159,664,289,
682,078,999,486,216,218,613,459,088,609,552,399,019,738,937,310,605,459,596,
029,023,542,582,875,669,299,896,037,246,661,069,282,141,014,745,908,730,735,
663,733,198,252,229,972,365,251,520,599,375,234,527,095,132,043,145,399,701,
664,578,274,074,451,013,542,529,477,775,738,251,223,957,139,561,137,720,468,
436,171,882,868,403,876,126,927,348,388,264,371,490,040,869,234,197,759,627,
951,825,171,591,171,070,269,678,494,929,929,223,662,701,373,171,114,441,040,
090,668,172,843,445,284,542,594,026,069,395,352,152,369,200,935,832,127,574,
181,227,319,930,149,387,300,269,842,979,136,336,350,353,800,981,772,170,895,
059,653,325,918,446,562,249,009,946,298,732,992,354,310,437,815,939,556,347,
874,551,763,242,526,026,173,268,144,158,341,091,584,730,936,251,386,720,349,
533,158,763,439,804,815,429,341,358,690,541,070,670,509,451,549,862,000,527,
263,798,556,857,021,983,842,910,436,684,921,950,830,239,665,705,554,818,444,
228,113,800,700,336,371,115,029,643,946,343,961,613,149,736,422,074,386,259,
741,396,991,267,134,665,341,542,907,427,436,431,393,392,837,151,987,782,353,
412,801,666,115,082,551,088,884,713,632,884,784,801,080,439,722,125,348,210,
435,007,233,344,179,316,475,798,871,058,929,326,364,395,722,140,718,938,685,
457,962,153,714,215,464,767,370,141,757,470,108,301,340,104,317,685,299,010,
098,046,101,819,597,284,511,808,516,613,906,822,972,056,126,455,422,778,974,
028,984,906,269,391,829,210,261,718,383,668,769,414,333,376,460,052,688,712,
514,361,237,537,094,304,950,720,981,234,270,272,862,488,532,876,052,495,610,
817,033,272,453,168,990,103,314,319,861,076,897,948,659,683,526,454,449,695,
744,162,009,550,362,309,680,665,772,180,969,480,113,804,974,252,674,486,098,
225,036,217,173,999,668,001,343,325,874,427,734,413,401,206,611,090,609,353,
331,506,518,168,717,853,845,301,398,769,726,004,621,017,308,646,453,863,364,
972,494,762,190,789,297,745,477,130,494,822,407,323,906,279,159,598,701,136,
386,334,390,136,127,260,447,015,134,323,313,680,121,134,497,609,985,115,485,
815,487,199,630,000,805,125,713,232,156,441,170,462,261,118,996,864,536,658,
430,759,564,421,523,107,549,548,401,999,541,782,187,382,784,003,802,997,686,
460,472,962,060,305,348,786,350,302,735,411,116,227,322,376,952,246,664,288,
022,991,931,269,225,968,726,351,094,030,092,584,819,313,512,123,821,801,336,
173,153,886,914,886,851,549,086,605,733,293,614,620,547,118,374,402,403,194,
987,234,152,703,587,351,246,474,305,722,988,998,325,608,032,546,152,277,398,
896,086,330,406,245,367,021,808,948,843,160,142,673,369,227,629,667,144,807,
225,497,523,669,553,318,756,468,992,829,002,907,638,893,196,592,202,475,993,
356,589,796,700,792,061,039,407,500,133,165,915,632,618,853,001,805,634,960,
366,856,371,921,925,159,407,171,593,284,507,712,562,973,535,048,596,578,537,
465,669,198,310,021,284,692,351,775,008,351,757,652,385,594,270,150,484,127,
322,423,743,508,401,749,350,997,814,192,718,696,538,412,586,335,567,442,244,
379,441,154,400,888,842,530,120,813,216,211,156,668,962,189,262,380,587,234,
795,771,652,865,894,706,418,836,155,166,551,756,263,598,712,023,427,681,792,
479,711,378,500,223,503,215,427,428,349,672,159,696,592,398,333,880,834,150,
959,627,410,265,472,156,296,769,029,680,117,398,316,623,342,960,511,128,997,
070,703,125,991,245,093,180,010,922,986,649,903,270,338,861,868,107,352,728,
630,596,407,327,182,582,605,907,060,860,929,274,366,893,180,277,175,776,765,
328,474,964,335,596,717,298,001,174,901,861,615,760,475,196,966,620,247,977,
893,262,097,815,440,179,053,979,335,507,677,339,881,309,009,360,224,299,421,
840,461,480,585,606,905,132,913,857,703,104,970,129,243,503,380,373,046,019,
619,637,770,781,349,735,499,067,056,383,594,389,005,761,281,333,415,011,124,
076,649,946,981,757,313,227,552,033,351,720,666,170,931,176,785,794,937,019,
009,588,586,340,727,836,409,488,059,350,138,440,121,141,039,448,904,451,079,
132,654,912,027,415,173,436,173,160,913,094,509,324,202,016,590,176,538,032,
445,220,689,402,675,610,836,619,097,406,837,735,747,025,138,433,558,170,563,
263,430,085,240,262,723,043,500,970,001,481,380,445,771,104,117,038,872,743,
472,285,797,565,492,602,027,872,352,095,478,493,047,524,881,659,235,825,945,
309,861,567,613,599,840,793,606,988,570,170,435,476,607,685,170,439,757,728,
364,805,276,770,753,087,594,831,721,128,862,420,953,897,449,403,716,100,899,
449,628,729,910,197,766,579,119,281,201,201,495,573,560,408,416,880,184,036,
094,121,014,329,487,383,867,289,886,638,651,843,453,066,204,745,571,062,253,
723,401,879,713,434,497,528,367,370,880,809,785,066,259,150,560,922,354,949,
393,791,196,261,569,998,070,401,978,232,268,630,503,456,451,729,268,639,103,
578,624,760,413,379,647,187,112,815,080,142,134,514,354,374,143,825,559,247,
944,384,455,305,154,864,452,646,445,564,755,166,719,253,655,431,109,790,588,
454,338,472,613,074,177,658,964,331,580,879,402,804,263,187,754,682,799,187,
294,972,343,405,743,016,851,037,416,508,577,053,865,092,948,844,577,816,009,
667,837,804,555,217,103,407,810,980,515,832,209,403,156,354,824,804,327,618,
853,500,282,796,389,187,868,070,363,130,410,139,659,836,029,865,317,854,183,
445,578,687,307,600,437,046,128,142,568,678,869,345,839,394,636,062,068,282,
108,147,668,825,910,806,089,386,168,887,800,004,221,082,430,117,709,417,670,
927,868,024,524,381,571,875,184,627,475,489,076,183,164,942,933,038,454,246,
126,296,145,064,568,531,901,141,337,801,524,742,157,843,056,405,453,637,570,
403,944,360,829,034,704,975,623,141,305,107,092,650,782,639,836,681,637,870,
705,641,264,469,330,438,815,870,599,045,329,978,516,810,004,631,181,560,720,
600,266,271,500,653,739,558,870,928,464,364,638,372,786,556,806,419,537,202,
306,810,259,105,653,669,558,465,193,600,431,152,551,438,833,988,061,901,078,
490,259,633,821,329,305,054,097,934,938,031,414,955,380,159,109,445,325,304,
795,355,503,043,307,967,951,743,844,954,073,852,470,683,870,679,211,866,984,
259,926,228,893,863,165,903,182,756,360,840,317,493,487,137,709,793,485,287,
388,904,633,536,717,325,102,788,386,089,574,020,479,856,424,706,904,059,147,
493,305,994,093,406,635,398,268,982,464,388,447,609,668,405,288,353,229,994,
330,671,962,319,072,823,987,193,976,976,792,874,136,056,332,107,909,906,942,
607,236,712,538,645,256,012,743,791,653,947,042,225,216,924,417,649,884,529,
544,192,520,105,170,423,440,113,944,800,104,494,880,636,351,074,469,720,479,
122,926,472,972,563,192,115,431,163,953,272,582,681,739,096,034,312,332,959,
542,373,449,204,952,105,747,439,052,195,615,040,115,126,262,504,088,174,154,
573,556,113,715,529,885,411,392,538,684,136,923,247,187,015,016,282,792,897,
740,349,885,760,029,715,120,315,427,001,384,704,461,585,030,545,483,997,269,
295,558,457,532,993,507,394,808,959,322,157,706,160,278,466,016,037,874,666,
296,719,045,304,588,347,494,809,749,300,579,907,806,130,225,899,047,992,623,
924,149,361,237,976,702,003,513,601,268,022,106,558,346,970,691,903,809,367,
014,040,362,943,814,739,531,667,521,837,642,489,581,906,138,101,181,789,005,
632,631,162,007,437,457,725,145,846,830,672,673,828,781,892,020,510,832,323,
303,811,257,633,198,464,371,799,643,647,649,368,472,921,285,170,714,547,654,
187,103,785,339,650,517,903,385,200,632,321,337,885,213,594,465,695,449,611,
365,612,917,813,856,413,594,968,639,144,318,831,459,743,172,842,051,923,369,
756,289,135,375,894,744,925,955,050,272,659,132,135,644,827,657,887,117,475,
558,177,276,840,343,320,769,009,671,059,004,010,784,741,685,277,699,848,550,
120,052,613,783,001,980,433,550,699,960,062,136,375,737,012,922,514,551,626,
330,619,889,081,609,339,193,975,515,889,620,326,245,802,967,378,770,673,508,
245,273,871,158,847,737,158,118,058,096,604,684,900,385,786,800,299,276,195,
404,382,987,808,108,996,880,947,219,746,182,927,266,445,120,737,455,128,910,
067,813,940,858,218,682,997,568,883,096,545,144,752,516,800,844,953,438,214,
063,402,294,317,870,071,394,038,178,155,964,285,642,265,658,399,556,161,637,
100,598,153,379,960,375,903,273,534,922,009,914,420,816,815,645,776,274,010,
704,892,357,334,849,476,290,385,831,006,664,028,172,139,080,723,138,317,682,
196,515,939,630,358,876,300,407,001,879,004,549,546,190,237,935,946,823,039,
919,384,780,632,382,718,845,513,870,729,348,301,131,149,285,108,071,158,682,
123,429,498,854,541,286,461,135,076,852,908,867,912,272,186,287,708,299,005,
015,207,206,149,899,382,421,602,773,250,622,042,582,378,266,290,477,946,004,
983,525,914,520,681,368,189,469,112,625,059,060,718,012,229,117,386,085,257,
615,177,285,944,646,543,015,224,677,236,200,128,919,721,682,792,813,639,159,
302,001,513,373,943,430,991,156,393,293,649,143,158,268,742,161,576,089,060,
596,700,171,608,907,802,621,476,963,909,702,389,732,182,140,703,357,534,722,
046,651,911,552,618,620,628,569,613,849,024,668,821,389,377,972,934,240,274,
810,771,874,136,920,848,582,390,281,843,634,934,938,363,605,738,735,332,081,
351,273,426,102,010,437,464,772,480,677,884,395,669,147,321,718,105,442,509,
133,296,288,277,939,716,422,429,449,863,084,581,979,852,236,394,563,127,319,
005,168,649,995,409,858,157,093,428,700,680,646,341,403,925,312,478,193,180,
242,608,755,946,421,205,863,660,569,309,989,480,238,213,553,416,759,925,143,
173,947,989,171,941,867,133,478,058,621,347,813,271,495,771,714,898,236,903,
382,755,705,735,717,526,856,848,585,558,137,147,307,941,976,355,249,336,118,
463,964,302,425,730,252,857,384,886,673,610,710,708,672,273,764,672,483,361,
620,718,458,820,832,399,692,735,323,176,752,228,331,010,852,458,176,506,653,
869,643,504,460,577,226,779,902,355,839,693,630,468,075,637,397,893,805,517,
854,832,171,562,042,163,951,366,019,247,884,816,589,708,560,395,620,139,461,
546,212,853,237,494,467,930,940,143,337,264,425,155,446,556,854,833,931,279,
006,832,664,456,113,532,321,579,278,612,920,829,300,442,371,235,912,353,849,
582,519,594,211,721,931,373,879,352,925,876,407,964,073,437,190,418,889,013,
026,073,464,960,946,793,606,688,176,929,432,176,278,360,690,018,280,332,687,
638,111,878,447,817,645,963,911,503,226,765,502,879,984,425,712,959,901,712,
120,754,635,981,888,766,177,328,560,963,421,861,096,138,209,929,841,642,779,
414,798,251,446,202,648,570,245,772,545,798,628,576,728,782,755,247,056,423,
813,650,249,747,240,650,937,287,710,971,612,085,511,547,017,934,394,268,662,
228,349,681,465,875,749,849,031,545,741,490,858,213,395,277,233,067,117,417,
970,990,470,764,279,072,466,018,114,352,364,324,130,721,036,420,503,058,878,
256,817,785,944,233,362,477,793,270,574,426,480,773,948,119,088,777,783,279,
467,804,172,328,368,600,292,275,816,917,544,434,039,013,678,422,354,630,337,
868,596,358,244,043,904,988,812,632,704,274,956,180,000,280,041,483,517,288,
775,540,359,438,866,366,210,623,453,266,409,556,927,497,413,113,305,636,704,
201,435,119,375,824,179,779,540,399,220,449,584,853,442,480,473,901,966,469,
430,945,292,859,458,222,527,124,669,716,945,207,979,293,532,511,604,697,674,
650,980,954,969,330,094,893,312,981,491,207,926,971,575,686,630,030,325,699,
124,290,802,304,227,343,060,592,771,890,130,939,999,006,894,042,199,154,288,
417,315,758,443,589,721,865,729,497,728,651,862,541,080,379,908,972,349,845,
196,580,620,903,925,847,347,564,845,252,293,726,402,727,063,610,835,158,775,
445,268,664,113,051,212,310,446,732,013,940,365,236,448,627,601,592,375,154,
195,720,837,695,834,795,874,040,481,888,538,674,503,653,422,533,003,195,303,
911,225,218,004,325,769,134,001,775,540,058,670,002,875,927,424,420,207,437,
984,066,137,534,784,833,152,427,138,566,518,705,518,988,489,227,859,990,242,
772,385,556,307,412,289,215,919,512,191,626,329,682,921,318,344,725,855,469,
834,014,063,782,250,579,538,200,533,473,730,765,401,985,325,468,673,236,038,
993,500,388,606,384,666,651,695,365,451,984,582,003,817,096,338,838,426,124,
735,695,952,482,752,633,445,367,580,687,617,858,353,856,163,707,546,991,959,
262,021,231,518,704,084,325,313,588,343,524,254,134,985,395,727,345,363,382,
828,637,595,828,914,355,911,520,787,967,805,690,263,041,673,494,514,087,548,
416,203,095,737,263,444,287,987,220,639,056,886,095,231,957,052,927,295,949,
004,456,401,099,897,762,935,257,903,540,537,408,861,731,551,237,181,960,668,
572,922,391,882,032,790,415,266,577,464,782,774,889,347,803,755,718,892,123,
969,123,092,824,098,250,104,809,894,926,788,833,091,536,953,004,389,792,126,
740,313,765,047,289,522,503,404,949,557,358,996,767,161,864,744,857,226,815,
956,018,140,340,613,971,655,963,572,032,979,556,065,744,650,251,857,134,228,
394,561,233,851,849,131,740,873,259,644,433,155,786,938,902,080,199,968,876,
786,833,989,388,271,378,846,452,560,608,036,827,125,401,559,796,905,961,272,
011,088,516,330,555,581,598,041,696,681,009,027,982,328,892,965,006,741,040,
437,047,498,672,129,791,673,501,227,043,955,828,090,436,966,307,361,861,845,
023,558,157,015,663,263,156,479,504,731,138,599,832,181,921,467,352,642,297,
719,863,691,079,135,042,505,939,125,919,731,531,164,356,685,379,075,092,050,
680,280,028,738,294,340,661,098,403,954,504,601,113,526,466,714,284,174,315,
555,169,532,024,213,605,606,438,520,836,432,013,896,242,413,759,528,752,170,
269,775,516,837,723,990,102,432,344,076,455,752,848,381,579,632,973,572,731,
243,063,239,398,497,643,994,211,334,558,374,007,078,529,879,295,022,536,433,
871,626,027,722,978,305,354,332,839,867,828,241,793,610,453,600,753,819,094,
615,122,839,008,543,113,440,022,240,480,498,951,730,535,901,349,915,323,876,
552,598,463,713,272,455,168,141,427,318,548,073,714,786,122,077,638,679,380,
893,706,366,557,426,108,528,070,678,312,411,839,190,330,611,682,547,608,995,
035,192,254,435,809,846,809,588,273,755,067,486,481,528,421,128,519,422,430,
998,803,697,435,713,762,859,247,992,270,355,225,671,324,917,648,962,139,895,
879,798,048,415,349,416,413,846,550,253,907,890,512,677,941,087,006,328,096,
150,857,704,650,946,594,259,672,857,634,229,796,833,851,889,302,874,985,072,
482,616,862,394,536,409,170,532,626,964,556,750,749,167,872,877,707,528,937,
089,472,673,815,718,455,190,280,418,050,938,262,773,549,631,765,561,390,132,
183,699,407,484,616,978,835,072,826,817,193,771,888,068,012,035,583,588,290,
004,303,143,600,541,932,787,443,997,080,626,682,580,679,245,189,649,018,183,
800,232,873,434,221,336,948,620,022,450,308,660,392,398,009,571,473,863,824,
749,470,336,470,736,742,985,384,173,894,815,422,002,131,942,562,933,664,471,
688,082,902,264,361,927,677,247,945,477,009,958,813,586,856,541,257,499,751,
380,303,411,817,553,548,352,691,172,319,235,418,749,382,771,768,366,551,758,
150,182,616,012,935,733,782,456,358,031,372,035,992,327,195,635,836,255,746,
013,868,543,529,863,815,536,286,414,181,409,849,942,087,827,235,592,235,929,
848,732,146,631,008,467,306,244,508,303,050,495,973,365,667,439,709,554,620,
373,362,978,932,652,732,166,529,395,218,891,346,986,135,760,743,688,019,235,
918,845,963,981,544,327,377,891,799,018,111,883,663,441,974,610,789,593,315,
365,992,371,518,596,768,405,000,300,294,571,689,896,024,053,998,044,492,574,
374,915,819,800,251,626,627,647,978,567,748,184,056,143,801,909,148,840,134,
513,938,425,619,543,760,750,737,401,362,293,666,772,955,438,864,196,464,800,
504,360,974,763,968,902,268,384,437,705,234,953,180,601,627,200,093,063,064,
907,217,999,181,588,397,860,250,860,026,047,559,833,481,643,056,615,705,091,
952,226,784,783,517,214,769,323,162,872,467,738,780,949,219,822,172,114,974,
281,328,204,375,303,281,261,815,642,671,353,675,131,455,428,039,731,601,564,
833,568,005,937,729,340,332,349,091,860,223,282,823,073,651,225,301,081,688,
336,224,813,074,439,261,515,950,482,723,329,899,608,273,987,679,711,494,604,
451,544,348,960,973,133,808,811,888,156,318,216,964,083,962,682,690,928,344,
319,037,572,945,616,491,529,882,472,700,005,554,442,404,057,954,410,875,199,
904,127,181,308,685,708,160,814,413,617,294,596,040,376,799,728,938,742,117,
904,314,675,412,989,842,229,950,178,826,809,689,789,367,035,140,724,539,946,
849,940,637,805,540,957,287,063,623,493,479,685,106,499,086,593,821,205,729,
064,742,257,080,725,564,305,437,573,384,322,190,088,610,019,582,816,205,330,
498,603,438,016,485,356,578,784,750,078,277,014,690,553,154,727,803,148,693,
976,459,460,689,580,044,132,308,952,331,420,121,321,214,325,153,025,045,706,
821,170,015,163,235,516,505,828,243,036,123,894,329,637,505,076,072,733,497,
200,765,319,156,095,423,628,371,959,176,224,150,044,791,963,772,421,521,328,
115,587,446,053,679,895,619,538,181,550,186,366,507,564,408,102,775,796,785,
631,330,855,871,264,365,176,159,120,984,284,608,646,595,959,742,895,189,238,
083,141,609,722,539,464,517,633,619,309,463,968,109,272,582,822,278,161,928,
753,929,456,236,364,559,483,645,393,385,077,574,631,995,623,023,589,874,233,
012,111,323,227,824,157,228,213,994,999,840,449,731,019,412,692,647,709,195,
385,276,373,832,021,259,967,020,914,178,466,011,157,592,770,051,638,507,499,
341,701,091,006,156,002,597,273,752,800,828,913,174,346,774,179,892,561,949,
619,547,708,423,294,519,358,741,896,301,547,627,656,959,803,124,800,725,459,
787,134,418,344,187,073,882,557,037,244,962,474,807,298,646,380,001,440,346,
367,559,024,836,039,275,780,896,165,532,632,574,791,059,867,826,699,013,823,
133,799,148,796,650,849,185,784,191,943,779,285,276,453,598,178,571,461,838,
237,446,695,252,360,818,093,899,878,018,304,101,117,084,848,716,049,137,128,
404,375,885,778,128,601,647,581,514,483,877,932,949,368,670,221,499,128,204,
083,460,639,470,625,866,518,748,574,454,923,395,122,368,625,481,897,185,676,
914,978,672,794,087,172,311,257,900,857,633,069,209,494,968,575,223,926,151,
842,015,302,746,357,443,862,758,489,385,698,990,842,655,135,097,867,712,962,
090,942,243,613,273,912,753,612,052,961,326,630,524,896,600,773,358,136,212,
577,557,642,097,104,825,727,693,646,582,842,917,004,147,544,105,003,056,899,
298,781,078,591,887,698,542,773,383,465,508,114,174,831,227,159,325,333,045,
676,475,491,154,876,002,556,538,669,553,131,927,034,541,713,915,114,497,519,
238,224,876,223,741,262,922,773,369,500,071,497,956,868,681,927,891,298,998,
831,760,266,612,751,035,509,901,471,572,865,328,479,873,112,947,530,877,130,
080,323,063,706,152,536,327,525,968,108,633,124,777,278,047,349,367,935,445,
995,971,262,476,738,811,883,463,933,043,059,681,050,427,835,194,357,380,046,
189,640,034,700,071,940,739,212,580,834,916,064,880,581,042,171,684,943,818,
698,699,302,615,376,006,692,710,784,532,157,311,588,377,055,733,394,773,740,
619,783,469,381,906,371,018,690,708,654,518,882,622,007,169,228,657,679,893,
512,189,134,192,849,390,847,726,436,809,611,580,298,861,935,544,145,796,276,
871,371,082,064,142,750,851,876,582,453,761,327,141,749,923,885,265,233,880,
992,911,643,969,919,944,712,723,968,895,460,364,993,355,232,684,263,058,253,
680,254,504,410,015,664,674,363,657,422,370,846,473,771,352,153,072,023,115,
743,294,678,780,861,401,187,114,811,654,039,304,578,859,028,249,170,274,666,
726,594,903,951,470,912,843,901,788,054,826,148,161,823,723,234,065,093,224,
940,349,906,372,382,605,280,595,122,096,093,393,671,374,128,132,083,630,450,
043,522,790,561,806,410,626,368,429,023,812,823,276,005,867,848,305,612,813,
372,478,620,370,388,224,449,996,184,947,896,399,022,041,532,706,711,492,341,
903,870,480,344,459,154,765,684,763,194,660,527,544,681,146,234,437,770,796,
595,232,125,535,749,219,117,679,266,783,317,393,293,437,279,249,046,906,088,
605,433,851,892,763,310,228,429,375,554,714,804,705,966,621,592,929,649,731,
720,598,722,711,899,832,062,610,930,210,859,839,779,469,394,979,431,517,798,
409,065,804,933,907,468,303,084,055,804,435,903,210,671,024,724,512,849,825,
850,834,796,183,862,646,208,287,049,007,807,073,638,390,346,159,119,955,511,
432,048,331,994,691,149,686,703,274,796,218,089,540,518,225,287,811,632,822,
646,304,951,267,514,943,478,200,461,046,774,599,274,901,999,816,788,112,041,
882,855,526,310,391,303,531,314,725,762,194,313,299,208,396,365,531,517,754,
590,663,619,608,523,164,284,425,829,975,888,736,882,238,935,582,116,730,564,
956,979,254,966,619,278,703,813,018,591,381,685,312,246,522,554,367,635,713,
139,720,782,664,715,132,937,907,056,791,324,067,161,881,319,208,664,559,263,
469,490,937,232,705,271,108,210,946,014,971,539,664,951,574,048,953,347,979,
505,223,282,003,991,644,312,573,422,424,838,928,522,086,774,854,658,938,184,
467,661,812,990,919,069,662,688,486,311,519,121,075,515,372,495,179,059,761,
017,903,070,715,171,220,550,292,792,435,266,785,163,708,109,689,338,544,467,
088,690,876,957,877,858,561,635,557,362,869,871,410,002,695,265,543,789,665,
056,152,587,116,286,563,352,753,460,028,465,024,073,402,279,018,759,774,374,
805,717,346,677,367,919,358,450,393,904,942,380,906,449,413,056,496,111,115,
010,841,690,508,658,317,604,025,780,374,230,360,683,714,352,380,145,024,945,
653,504,960,321,403,348,987,205,956,383,411,532,570,368,863,762,617,424,571,
494,947,916,286,543,650,730,360,896,263,426,600,797,441,963,181,111,301,131,
413,503,704,070,292,865,189,811,542,378,834,021,089,936,156,405,517,128,598,
829,524,164,969,042,325,981,647,716,738,964,720,108,633,458,258,438,206,725,
733,781,295,822,035,771,822,483,991,323,325,706,601,620,209,983,306,463,878,
126,022,137,223,076,078,864,123,742,492,809,343,081,449,134,794,256,834,768,
180,960,561,055,803,528,043,081,820,096,782,656,171,156,151,258,998,909,578,
576,582,268,843,318,395,713,042,970,403,818,423,840,587,135,949,985,742,686,
616,395,466,860,697,626,688,397,328,348,209,979,071,631,409,530,726,820,139,
175,957,892,832,324,448,673,243,612,753,539,082,129,732,644,429,091,450,173,
770,184,573,544,479,384,754,892,376,831,158,549,585,976,432,014,446,628,302,
987,333,896,622,203,029,676,800,287,090,078,251,431,629,620,199,332,482,579,
259,798,927,682,057,128,361,075,731,951,405,234,455,878,534,196,911,957,738,
642,461,877,170,983,781,101,127,732,880,842,301,659,253,198,547,425,798,020,
850,325,150,466,149,144,399,921,474,632,103,387,923,756,500,049,850,969,345,
112,110,002,753,350,661,922,466,218,330,402,193,882,463,648,239,414,218,918,
082,374,537,123,141,003,721,362,779,502,567,514,348,751,961,593,015,264,819,
002,269,551,733,096,386,303,782,319,846,875,106,285,889,924,695,697,581,326,
551,900,537,398,403,214,425,940,587,958,768,330,329,909,764,841,735,724,975,
619,676,317,351,480,753,397,124,112,384,919,897,499,054,052,572,773,381,970,
939,599,333,978,307,384,913,830,695,412,977,625,643,772,318,791,763,246,673,
478,520,002,829,790,604,068,849,667,567,009,243,925,714,507,232,497,697,343,
178,178,383,410,983,179,929,849,883,962,413,723,242,290,528,260,440,677,592,
748,850,369,630,061,931,936,758,358,039,371,467,612,297,088,078,363,282,283,
716,702,609,908,000,413,703,598,896,119,449,299,064,439,442,134,438,415,316,
880,073,566,487,244,910,195,494,991,156,331,856,362,230,195,980,130,046,824,
315,158,792,544,574,009,341,884,897,365,464,015,113,897,938,265,048,395,002,
910,637,622,743,412,023,039,982,051,278,345,536,193,360,490,996,728,361,868,
972,451,546,259,485,513,368,054,709,721,279,553,197,508,747,109,444,476,851,
214,682,471,120,214,118,556,553,651,017,204,882,635,724,271,749,392,914,187,
817,852,337,598,324,958,166,651,802,559,790,956,925,008,197,023,149,642,695,
578,381,095,475,745,874,443,496,844,340,245,649,539,457,384,601,903,721,888,
253,818,858,795,910,580,883,407,304,763,001,096,613,260,762,579,276,984,001,
208,769,662,604,821,779,338,596,253,128,392,313,493,458,973,463,746,611,282,
251,966,282,914,018,515,376,503,350,603,407,227,049,655,256,225,517,393,053,
023,719,791,221,448,784,867,067,704,442,434,424,076,256,193,182,165,230,137,
735,327,437,043,318,847,280,913,216,325,144,827,546,478,508,418,553,321,580,
382,559,277,134,386,837,470,471,489,338,769,421,836,747,093,149,483,304,738,
843,309,331,176,046,693,562,932,989,242,778,074,771,664,407,576,464,520,280,
993,925,664,301,733,970,602,757,713,077,669,997,460,930,840,005,452,599,574,
398,692,317,072,631,223,906,364,968,085,909,025,729,772,960,498,836,309,219,
141,023,506,592,464,591,204,836,889,235,259,996,437,112,070,217,033,882,827,
278,729,620,949,624,680,141,664,677,656,117,365,041,236,383,095,703,137,847,
349,597,275,833,841,715,851,739,586,094,149,606,432,932,589,046,002,952,212,
917,062,422,313,782,265,234,975,366,289,020,986,698,182,776,438,417,993,558,
283,041,205,290,220,252,233,992,018,430,854,703,777,762,393,785,246,108,876,
626,642,583,811,367,831,666,145,657,260,454,402,027,211,802,705,779,488,968,
896,742,234,792,161,390,133,839,872,759,828,256,380,836,106,919,532,577,843,
228,892,541,817,752,318,708,973,472,604,824,616,112,854,706,079,763,710,341,
009,379,097,559,763,655,758,704,297,145,238,477,446,488,620,355,169,649,158,
520,821,315,159,397,112,040,696,444,345,598,048,164,873,861,190,863,725,014,
559,024,151,311,810,584,558,273,071,891,337,780,464,091,424,702,007,412,041,
570,137,391,256,318,085,769,996,477,504,089,851,913,401,224,144,447,904,311,
003,491,833,329,347,731,478,307,501,352,229,937,706,802,762,305,358,259,669,
333,067,040,597,900,778,523,309,029,736,566,820,779,543,706,406,460,257,028,
089,937,331,709,026,814,679,492,955,084,390,013,697,965,165,239,424,145,400,
895,352,229,465,697,757,871,651,694,560,003,006,313,214,155,224,654,677,000,
450,995,847,497,869,978,382,446,844,412,683,440,839,495,327,785,029,627,948,
410,755,762,884,942,540,843,828,496,819,372,692,783,679,583,046,283,643,665,
646,599,640,447,133,307,175,473,171,856,777,827,110,293,532,425,396,169,146,
916,444,586,837,933,071,807,194,512,478,960,193,740,974,749,637,702,053,155,
852,688,676,165,871,695,520,900,638,312,482,640,119,263,133,512,768,420,500,
439,018,074,019,549,290,601,478,306,984,782,559,570,995,620,066,745,264,546,
534,999,463,536,564,203,610,658,900,244,028,948,876,585,623,766,293,163,797,
657,961,550,678,047,763,055,450,305,238,399,497,466,129,612,026,793,436,185,
049,892,734,584,998,076,470,202,415,812,355,480,320,378,971,434,609,212,773,
978,853,484,095,347,586,558,458,734,624,587,305,725,829,628,706,146,129,593,
843,326,764,445,255,896,755,566,067,375,257,272,270,515,801,382,369,122,917,
383,167,678,881,288,105,099,014,467,293,856,656,509,933,849,115,593,882,651,
873,418,971,810,607,442,732,975,714,919,639,498,110,252,126,418,472,135,545,
911,626,012,219,126,051,690,109,315,454,493,397,068,579,735,350,645,423,087,
888,687,119,828,427,193,283,284,345,034,833,358,796,014,128,307,393,616,672,
831,503,569,180,386,390,782,954,747,844,820,396,335,164,916,199,144,955,201,
843,274,825,226,228,698,762,083,568,978,980,876,762,470,518,835,799,043,585,
691,257,434,147,326,879,745,753,956,263,489,921,182,128,380,868,417,447,090,
058,991,888,618,396,554,593,241,351,147,319,176,801,056,301,467,127,058,034,
537,922,611,078,332,619,838,493,792,181,245,417,122,163,953,113,692,097,281,
974,879,521,620,096,033,400,965,020,320,228,505,745,720,067,059,373,745,624,
996,805,352,521,848,669,858,301,099,527,524,437,172,639,802,392,007,254,871,
079,841,550,194,084,464,284,267,596,142,857,068,953,162,426,128,178,917,430,
857,579,296,569,062,129,635,398,337,017,821,519,319,610,176,057,916,458,104,
262,491,534,416,384,216,516,339,859,215,626,260,653,947,883,842,190,206,470,
121,716,073,173,992,480,729,293,403,443,517,180,617,224,210,580,460,730,272,
137,769,886,444,932,308,424,030,846,193,082,420,070,070,588,911,465,805,106,
779,928,988,578,291,844,385,565,568,557,399,128,179,099,747,794,979,051,162,
200,071,846,472,859,571,351,615,505,426,976,209,203,287,111,732,833,927,335,
470,962,793,444,246,821,102,231,008,674,515,823,818,581,166,759,310,204,803,
718,098,416,370,952,604,554,283,327,803,833,116,604,178,790,390,856,218,345,
140,896,729,906,715,970,778,343,441,608,705,652,533,139,073,282,971,157,804,
333,396,407,282,559,163,196,998,457,851,533,002,276,781,680,700,252,945,516,
523,961,414,390,350,052,465,817,283,878,940,271,640,572,806,717,745,116,426,
611,816,559,126,218,320,912,728,509,881,566,278,144,734,872,448,585,233,886,
879,145,853,044,462,687,674,336,819,196,676,773,165,880,807,151,756,500,497,
057,930,917,279,030,405,504,624,318,958,975,743,417,466,127,949,718,111,676,
709,305,958,352,685,067,111,623,908,523,789,023,426,417,688,115,059,322,378,
156,496,060,437,796,443,013,253,312,943,670,948,515,722,722,683,413,434,581,
828,798,225,212,863,998,413,815,066,873,372,250,655,507,057,939,238,922,436,
063,263,966,977,279,222,015,375,158,906,147,178,370,796,236,324,313,480,986,
822,439,816,991,114,698,741,409,393,101,997,848,296,270,187,675,451,462,163,
148,627,010,745,767,281,093,166,287,976,400,427,306,314,370,603,653,605,670,
968,092,333,161,865,960,163,946,717,777,205,828,062,103,548,508,934,985,891,
063,016,752,385,381,428,318,523,476,427,177,973,894,885,232,133,651,918,468,
728,434,623,243,917,480,687,446,872,208,995,436,341,881,630,402,207,952,680,
645,457,176,181,644,509,791,307,876,814,298,624,859,148,775,108,764,307,538,
093,517,954,764,557,003,963,267,187,557,781,433,402,983,695,596,819,523,714,
797,692,966,654,910,378,299,770,016,374,696,971,145,390,336,747,284,652,856,
766,467,535,481,187,914,838,783,674,563,126,729,086,015,427,329,352,093,206,
608,275,001,096,450,351,477,801,664,240,102,007,651,754,200,646,881,583,640,
735,870,594,891,012,786,352,125,740,472,153,131,091,956,137,433,626,003,499,
519,243,239,069,244,826,551,760,918,122,713,883,566,885,118,723,187,295,165,
920,724,852,687,055,960,585,713,101,053,121,326,953,087,732,120,682,002,619,
699,221,293,295,348,658,570,486,973,362,625,342,632,301,862,047,046,335,963,
869,958,256,814,877,905,200,771,231,826,279,407,860,530,535,799,733,181,088,
367,031,197,241,384,574,733,268,536,843,237,194,491,727,352,045,862,155,990,
918,957,951,489,895,437,542,014,589,967,885,971,303,611,586,918,362,334,723,
573,800,044,035,115,246,104,031,177,373,981,423,834,740,081,503,499,739,792,
149,494,382,311,259,920,249,077,722,750,181,927,326,377,828,607,991,636,090,
328,219,503,082,208,342,439,382,048,227,857,626,062,308,883,790,925,854,648,
276,665,250,725,518,867,543,914,764,430,388,703,826,847,343,318,112,695,030,
060,300,063,504,689,626,414,317,064,330,799,950,746,361,153,857,928,990,106,
340,674,266,529,328,054,001,143,475,010,386,138,944,466,858,454,171,005,972,
981,412,511,878,994,715,316,147,247,670,035,097,560,817,128,676,435,567,859,
891,764,373,233,083,272,669,932,994,219,319,392,331,521,754,270,117,027,836,
224,976,471,556,679,773,292,492,727,787,417,381,862,140,247,464,012,466,520,
615,422,648,637,710,576,587,010,357,542,221,147,807,954,099,931,048,572,700,
868,558,893,079,183,242,285,565,255,872,346,690,549,814,170,784,017,529,533,
086,611,087,220,929,230,152,093,147,712,383,052,270,471,137,271,005,378,881,
699,147,533,287,855,068,151,327,620,247,321,852,055,360,134,835,721,424,950,
505,537,659,084,938,601,617,614,979,322,503,590,169,049,711,876,612,443,789,
274,619,462,279,889,109,603,434,822,218,984,767,214,295,079,504,543,859,622,
453,939,097,903,882,293,745,499,360,354,871,131,977,258,441,595,966,548,029,
808,086,859,520,675,201,090,415,089,245,368,638,976,101,331,788,785,911,284,
427,850,851,622,931,646,499,588,878,520,949,713,856,081,099,498,438,320,973,
431,257,632,710,619,601,415,536,741,168,241,242,744,767,301,545,886,171,587,
089,989,890,353,288,660,730,102,792,447,456,563,089,919,938,365,734,829,240,
008,520,608,453,597,410,387,594,981,892,142,132,810,927,469,733,151,110,291,
699,026,678,757,511,166,259,196,781,627,438,007,531,341,713,547,309,160,944,
244,670,633,870,341,002,655,258,924,639,769,306,044,313,531,828,132,014,602,
388,111,440,086,992,272,691,151,968,680,706,197,148,932,356,755,789,107,854,
114,940,044,251,292,620,348,987,771,290,565,271,605,601,486,934,153,064,552,
123,348,358,616,276,988,270,160,996,159,453,953,326,898,891,514,436,608,683,
411,716,369,888,929,571,100,859,238,412,503,987,491,709,690,783,696,529,665,
049,915,790,550,031,869,725,784,230,481,702,011,887,561,239,954,543,047,106,
317,465,024,101,948,975,595,334,404,097,244,734,747,656,358,294,771,081,059,
838,376,909,663,555,157,395,016,605,806,060,979,243,159,002,938,964,832,772,
608,176,868,443,288,641,389,335,420,524,739,307,265,248,149,656,428,269,447,
542,377,789,049,482,234,730,144,705,081,585,380,547,175,025,897,513,768,184,
741,779,951,508,597,163,778,548,879,604,765,959,963,075,781,354,647,120,269,
323,209,852,113,861,246,218,303,122,535,579,854,559,649,815,353,570,403,707,
788,860,255,535,996,088,672,672,998,833,607,623,624,560,792,529,184,280,308,
226,153,977,379,247,462,721,327,076,930,918,933,025,304,182,617,614,114,212,
697,578,013,193,292,967,770,479,306,187,746,572,044,822,530,475,386,520,797,
999,890,753,911,424,944,144,132,453,151,139,933,449,354,783,732,625,260,177,
739,091,891,678,347,710,273,727,264,174,197,812,568,192,666,559,872,428,756,
000,135,977,014,981,654,753,884,671,362,856,855,523,294,990,732,874,132,452,
145,156,166,684,745,504,969,252,327,482,152,987,242,789,058,943,209,627,779,
969,032,295,874,792,516,332,864,533,355,906,951,866,008,381,738,688,760,354,
954,642,579,648,717,189,589,465,426,017,389,154,297,254,599,357,269,711,201,
743,922,705,791,649,120,679,767,132,931,868,872,288,637,797,557,681,784,475,
230,220,132,390,992,631,361,711,016,087,963,901,976,021,352,064,339,492,784,
057,778,783,713,307,245,546,765,928,268,920,531,451,640,810,024,922,193,334,
724,302,336,914,633,035,406,319,759,977,392,293,116,893,423,521,534,565,672,
010,806,344,333,295,948,511,103,793,999,079,821,521,582,137,070,947,724,611,
517,254,964,736,854,039,594,240,259,537,837,770,047,404,582,900,586,123,096,
967,611,672,247,039,948,387,078,703,797,121,871,457,894,195,317,498,077,412,
141,360,413,185,023,775,115,775,714,806,971,444,118,258,893,358,870,754,675,
069,367,241,788,708,801,669,541,528,459,753,389,905,140,955,602,929,963,019,
322,469,484,786,670,288,787,762,496,107,313,055,643,285,706,603,539,433,636,
248,323,688,895,719,244,376,628,566,046,582,907,544,748,791,042,486,227,054,
761,057,365,099,277,267,781,343,949,957,301,106,852,571,179,171,310,699,179,
543,306,542,648,241,352,517,410,462,460,804,909,005,069,342,889,611,181,387,
429,164,093,119,149,735,095,766,956,167,605,875,268,206,630,862,670,017,183,
261,080,427,721,033,302,196,072,054,430,253,141,722,886,516,476,764,836,990,
233,563,785,400,885,178,024,252,437,925,731,943,920,213,781,711,640,366,415,
473,364,012,566,724,177,928,571,580,369,878,710,664,155,426,037,157,326,078,
314,791,252,477,403,729,129,598,643,288,021,436,398,342,359,149,149,924,112,
121,589,003,518,425,601,122,801,543,076,255,888,684,405,500,536,827,067,054,
401,173,965,229,022,386,677,368,466,794,154,383,550,235,874,827,314,230,698,
722,351,270,278,284,056,627,059,421,553,408,669,859,021,559,505,118,070,475,
457,339,833,948,025,078,390,553,310,114,661,690,584,580,378,002,941,986,492,
212,544,477,772,550,218,016,570,635,497,931,595,123,266,943,063,061,059,399,
850,194,376,702,184,560,179,057,110,524,799,279,489,954,344,582,279,697,321,
914,919,435,965,404,341,785,168,618,489,546,992,217,895,535,888,015,326,455,
170,742,164,367,295,608,413,120,652,921,738,481,333,442,051,733,380,504,009,
493,851,149,390,605,051,663,851,199,572,131,906,360,924,382,541,396,145,494,
079,594,512,960,026,358,299,900,677,305,218,209,816,903,440,408,796,072,037,
866,438,338,139,821,973,471,836,589,465,295,263,514,132,683,245,389,305,294,
680,895,383,770,585,668,958,103,194,207,473,293,582,349,767,775,783,672,327,
236,967,288,041,838,322,844,310,542,474,199,495,948,189,829,124,269,326,724,
951,045,725,128,788,841,866,701,636,192,967,601,060,574,870,608,310,764,649,
349,572,381,522,630,930,440,652,647,996,418,522,856,675,849,707,704,240,498,
879,465,752,816,005,879,023,147,158,843,323,322,139,889,949,001,443,897,329,
290,471,695,638,223,613,011,239,301,973,022,129,448,233,599,450,752,507,363,
695,681,084,048,309,252,375,229,403,082,564,112,561,669,121,040,741,814,590,
592,408,286,373,841,621,900,612,509,751,052,596,387,174,934,366,813,124,177,
346,963,932,751,864,127,604,476,591,705,917,992,429,472,486,344,935,355,232,
316,458,249,349,771,035,843,417,338,649,004,147,415,504,560,364,088,087,956,
762,584,352,124,280,156,561,144,930,331,891,018,643,294,960,352,813,150,213,
863,479,448,708,647,956,465,262,706,585,320,586,064,247,068,377,105,359,311,
610,292,768,540,135,251,573,331,787,614,516,583,669,675,684,205,197,011,829,
390,019,998,594,029,600,832,170,875,390,371,942,529,886,345,927,341,104,404,
910,074,894,246,701,347,134,319,547,011,781,003,599,567,468,842,872,826,069,
845,410,590,899,497,859,158,526,612,438,190,877,610,900,530,158,850,233,937,
592,522,977,997,289,945,516,852,682,056,450,324,876,695,323,005,865,266,992,
568,334,434,420,086,756,534,140,175,635,208,132,358,025,641,219,466,066,171,
351,288,022,550,281,327,783,671,627,332,418,956,222,723,880,601,295,981,666,
663,288,733,745,613,517,187,907,973,706,152,155,296,271,447,486,746,625,984,
969,021,144,372,299,917,262,483,499,104,751,855,621,111,532,454,978,071,974,
499,572,986,821,990,412,596,337,225,241,670,113,290,951,585,010,557,476,496,
691,752,294,745,524,437,387,370,433,660,013,124,916,327,979,973,870,071,412,
986,806,764,044,959,337,832,984,206,758,711,752,775,180,181,911,423,427,066,
729,119,707,542,175,728,975,377,240,000,813,797,181,527,159,156,214,284,037,
230,524,697,737,184,793,439,743,035,175,291,672,711,722,088,578,329,917,155,
496,766,109,169,458,174,475,442,814,698,422,542,891,108,872,975,633,302,755,
979,362,605,547,831,212,906,632,417,339,720,939,842,785,265,194,301,393,370,
720,468,428,943,056,473,746,503,150,435,419,414,962,192,476,207,835,837,088,
603,185,466,583,260,675,552,872,749,289,939,695,081,755,486,221,688,861,826,
020,128,911,686,675,993,815,426,834,202,103,052,636,232,358,053,989,188,097,
801,760,584,313,032,880,694,697,368,116,873,819,912,620,876,151,800,509,319,
416,342,976,092,475,928,014,730,973,374,313,972,768,999,443,676,211,585,868,
288,806,170,525,336,730,056,027,622,663,684,057,918,617,685,183,965,103,118,
283,353,969,432,573,370,207,917,911,444,934,716,694,121,100,768,047,970,564,
781,253,127,128,710,600,575,207,445,529,470,892,137,204,616,025,776,358,998,
042,503,342,870,636,160,297,455,608,086,883,088,116,329,450,915,331,051,280,
118,823,527,878,184,182,021,187,934,863,181,436,634,392,402,485,096,009,792,
402,895,633,884,598,642,864,180,102,969,848,580,767,450,006,554,367,215,030,
950,984,642,572,150,809,104,579,714,419,191,690,287,505,783,331,254,052,888,
054,967,457,435,795,758,890,208,701,268,848,885,136,212,735,918,511,247,926,
692,689,831,620,126,966,963,115,670,757,991,298,885,448,813,234,377,128,598,
628,745,638,182,223,939,793,105,990,710,033,022,721,478,125,774,844,010,450,
700,590,059,299,833,915,554,915,711,674,783,053,955,958,825,505,642,701,367,
761,518,245,140,841,919,963,268,272,368,303,419,003,847,410,966,983,193,556,
295,412,975,613,566,921,119,367,866,431,798,793,973,408,479,781,423,322,607,
535,547,939,514,908,152,432,971,147,843,161,555,748,135,591,137,314,583,539,
680,299,049,474,212,278,375,116,865,486,580,698,629,257,179,312,371,753,888,
903,326,368,313,903,081,396,424,990,300,941,604,347,029,318,850,254,488,242,
964,811,196,224,455,038,433,821,182,721,273,072,705,690,661,729,650,624,365,
656,737,706,122,485,052,168,646,552,519,182,822,140,054,950,828,425,020,526,
593,540,686,254,271,967,209,645,177,297,373,001,212,024,978,649,897,388,798,
764,191,710,179,196,931,215,318,774,363,134,942,187,529,563,552,970,641,051,
262,399,839,219,495,899,921,517,122,383,646,817,495,065,657,299,423,150,331,
258,235,108,523,680,958,362,891,143,286,019,587,511,153,998,888,982,554,543,
152,019,933,436,979,107,743,967,000,099,558,956,114,495,016,647,775,721,224,
425,688,212,190,790,754,777,688,685,969,101,499,653,213,146,198,295,072,968,
670,806,261,293,105,946,595,884,565,613,532,658,206,006,188,189,242,982,491,
024,648,810,781,894,407,822,254,945,148,921,307,057,353,495,574,308,536,581,
139,475,480,344,370,415,737,952,019,563,760,551,331,658,458,034,527,231,136,
899,620,875,494,781,486,423,540,972,004,056,624,363,283,929,694,707,958,619,
499,263,119,078,219,376,328,456,580,480,334,577,741,748,303,254,505,562,207,
232,621,607,915,435,895,141,773,904,355,037,867,721,089,362,750,328,169,372,
747,290,959,901,653,131,612,302,537,995,112,927,030,568,902,724,503,785,712,
492,249,936,638,326,382,478,531,249,672,569,202,104,248,758,390,360,880,126,
194,349,613,139,274,293,249,729,585,956,154,984,348,288,608,328,588,889,228,
478,087,913,784,581,727,843,499,739,851,361,637,873,489,429,747,566,312,214,
781,284,396,608,336,788,172,120,725,020,221,802,854,245,685,421,320,215,333,
699,450,422,013,438,458,839,518,690,629,305,248,757,036,655,761,725,392,811,
039,421,599,252,097,774,826,945,485,198,923,394,786,316,870,873,388,007,017,
764,701,569,767,474,181,348,400,490,730,515,680,798,023,851,067,587,703,489,
403,236,704,411,914,887,908,436,430,633,351,847,240,244,539,281,330,946,281,
282,493,199,667,315,305,841,558,982,377,401,164,932,136,522,261,216,400,277,
427,847,330,628,762,820,513,571,100,068,883,200,504,814,767,213,763,936,478,
638,162,280,482,901,813,085,247,428,427,138,099,546,674,329,126,709,791,901,
438,498,580,977,949,538,793,174,030,873,995,686,476,330,707,159,960,643,050,
321,562,097,389,018,906,159,991,285,674,939,179,769,714,230,958,937,896,579,
276,772,556,821,373,216,304,338,889,734,831,872,391,354,850,835,328,665,521,
520,133,027,691,025,367,487,238,973,780,969,631,913,835,563,465,954,157,761,
381,429,603,054,917,941,850,739,766,583,258,623,551,254,708,981,464,136,434,
990,290,442,127,750,778,471,640,112,064,135,162,048,838,864,910,737,211,918,
244,092,577,496,090,016,912,033,507,582,590,750,276,683,831,800,533,416,074,
289,388,663,822,072,573,904,843,230,265,944,519,052,469,085,376,050,077,620,
460,643,573,033,638,926,757,268,963,226,430,014,149,303,862,939,593,695,658,
220,100,376,604,225,408,640,656,767,542,829,681,811,840,065,136,543,269,183,
184,699,918,646,083,227,084,377,123,448,743,666,475,919,240,149,612,916,164,
051,847,718,708,620,802,699,816,659,664,626,063,814,200,331,283,273,303,787,
302,765,692,385,959,597,433,680,688,150,049,781,642,869,317,167,734,964,725,
064,640,502,009,870,063,177,827,992,687,728,697,057,728,898,141,410,366,999,
261,995,061,679,473,207,557,750,491,472,987,922,017,112,576,197,673,526,000,
833,542,752,948,017,741,632,874,154,202,737,336,799,266,347,006,664,517,155,
963,188,972,546,497,665,582,385,128,409,386,807,887,634,207,112,552,409,469,
377,835,257,991,504,286,866,826,869,533,773,473,137,787,434,331,999,036,728,
792,096,469,174,942,133,059,230,774,787,368,379,413,403,680,987,185,581,982,
000,826,565,442,946,286,092,396,978,398,627,512,972,661,477,364,288,531,801,
613,642,978,942,122,124,084,522,218,832,467,823,238,533,038,007,110,536,325,
206,904,042,062,214,531,592,286,126,825,358,361,410,374,439,056,788,386,281,
495,274,301,822,891,416,660,633,037,436,109,314,077,018,771,411,629,512,413,
784,087,078,011,255,732,241,738,956,331,715,953,321,116,450,758,056,116,481,
760,880,702,144,224,472,361,159,046,013,883,172,888,457,804,479,439,834,533,
909,099,641,756,215,277,097,818,331,503,413,456,622,547,887,259,986,871,598,
270,110,487,326,993,574,241,737,129,931,571,683,922,741,351,837,491,000,453,
071,526,247,756,378,084,478,301,627,970,355,284,176,909,428,348,440,803,426,
023,961,216,043,290,388,736,157,442,084,572,780,989,446,074,581,097,678,626,
453,775,620,692,711,863,618,683,352,101,951,198,465,524,815,639,927,657,154,
350,186,912,529,461,717,947,103,313,508,203,447,077,330,947,159,016,549,620,
015,251,968,080,674,285,691,097,909,858,648,573,877,229,143,046,611,507,985,
677,473,477,019,246,030,487,557,152,375,860,771,231,441,434,708,112,211,984,
684,249,728,983,329,985,793,335,475,230,981,394,310,869,062,109,964,626,971,
975,462,609,854,222,853,555,057,239,773,810,283,798,667,305,119,392,447,945,
326,858,110,840,683,456,945,313,776,240,359,187,063,092,130,306,356,379,942,
781,668,862,846,513,428,252,399,852,472,920,692,578,314,679,502,363,907,203,
060,164,602,063,053,994,625,297,095,277,593,172,154,281,254,771,039,523,188,
348,616,261,805,679,339,744,400,733,770,050,172,273,398,347,219,095,980,432,
019,256,570,881,851,875,129,250,398,718,838,097,385,475,158,845,694,418,636,
475,999,668,072,670,777,112,345,258,896,065,299,564,985,858,496,044,540,461,
969,329,352,707,952,724,412,879,680,589,248,849,779,044,439,585,943,610,202,
701,813,402,136,418,361,212,832,184,443,952,926,208,837,322,872,266,577,749,
670,422,079,252,059,466,386,712,477,175,396,495,493,950,513,023,573,665,827,
096,843,160,218,593,953,300,008,000,558,367,733,075,365,678,858,564,434,356,
980,349,993,131,654,271,752,321,586,224,384,440,188,075,845,791,992,335,974,
697,950,628,097,587,722,731,640,625,121,036,586,657,508,299,343,749,779,413,
355,170,134,587,461,303,180,416,305,621,808,715,287,573,895,365,761,863,754,
105,534,012,775,633,157,619,147,782,250,421,923,218,258,889,931,006,843,178,
554,901,014,094,637,439,193,631,381,823,148,343,948,269,825,283,880,831,481,
555,940,114,793,572,309,572,219,503,013,196,619,777,483,464,025,565,172,656,
777,313,958,831,557,101,336,895,157,975,121,196,511,580,340,013,314,271,745,
242,580,111,119,455,997,883,211,124,878,256,874,931,200,021,668,150,139,407,
411,419,047,927,689,566,574,376,716,203,942,012,317,724,245,388,302,907,190,
165,104,297,263,960,447,362,345,523,992,179,663,511,463,115,652,029,530,067,
891,188,080,347,092,887,106,647,121,670,449,011,813,061,557,331,647,966,128,
057,824,550,716,141,947,284,701,725,842,406,388,430,235,114,713,226,055,978,
661,649,991,482,047,496,983,811,259,736,940,769,823,454,948,554,956,908,318,
484,442,077,824,282,012,683,662,264,787,257,507,953,527,562,169,204,408,589,
946,117,878,499,330,180,161,852,702,276,557,287,118,884,115,217,178,645,234,
839,202,068,819,676,206,404,005,073,541,447,164,603,138,073,669,737,249,120,
551,581,545,168,026,853,720,721,543,798,743,113,036,906,551,870,327,020,797,
218,130,521,275,673,047,047,766,774,803,743,532,069,398,070,209,882,347,090,
875,280,708,499,772,778,230,513,121,201,575,394,248,330,167,155,781,208,515,
425,213,643,143,267,022,187,706,865,041,726,067,606,231,627,006,618,319,145,
217,452,875,103,477,327,245,667,631,833,267,265,562,640,261,861,592,248,923,
557,474,062,762,678,988,384,795,138,379,958,738,390,900,870,876,869,675,613,
124,973,976,904,371,451,865,101,674,490,202,317,525,921,416,591,469,177,765,
796,531,449,483,060,969,144,536,222,593,934,064,638,935,511,580,233,065,260,
963,550,312,816,208,389,420,754,448,369,422,721,117,767,225,381,519,949,741,
180,554,455,238,642,667,276,888,148,876,110,157,468,618,987,299,001,520,100,
091,732,377,342,681,333,246,973,670,776,506,598,095,083,609,092,617,995,499,
228,185,936,957,106,360,701,849,453,456,593,353,580,922,440,563,413,220,557,
901,911,586,596,544,315,417,996,085,259,626,688,377,825,916,534,451,626,976,
940,218,204,438,533,184,514,492,015,885,501,144,416,764,525,957,154,948,002,
082,423,844,649,954,414,788,685,561,407,717,284,604,153,255,907,959,713,512,
467,323,381,051,994,508,536,498,585,542,641,532,857,468,639,094,339,587,970,
447,974,006,800,976,175,826,475,233,319,998,550,773,283,776,630,278,130,315,
879,744,700,214,028,331,113,390,084,805,729,725,539,167,132,070,207,676,056,
005,357,773,418,903,345,722,598,749,016,601,328,914,970,021,503,705,044,243,
947,536,657,003,673,441,577,523,448,318,757,590,014,343,548,378,342,259,274,
501,681,133,032,605,774,807,035,657,326,816,400,720,487,895,671,680,361,251,
326,376,902,034,842,662,776,132,258,335,514,508,053,393,905,039,719,435,117,
819,836,449,552,387,475,491,722,168,739,734,891,789,037,182,354,609,819,406,
601,641,306,363,662,194,031,973,734,082,459,309,813,643,073,373,169,576,980,
917,139,468,206,537,506,107,945,811,117,465,587,477,872,371,515,067,261,035,
853,245,672,432,396,294,377,138,116,853,375,683,803,312,362,447,715,380,368,
968,558,453,681,039,044,580,036,762,454,563,571,456,149,279,911,548,033,085,
040,653,434,892,176,516,837,750,955,454,014,505,872,033,597,270,370,976,962,
800,640,940,197,709,088,065,697,883,950,243,242,084,154,969,082,369,589,509,
611,215,483,159,098,431,763,853,996,184,235,634,404,008,146,721,428,365,475,
778,969,238,127,892,805,338,474,897,654,752,824,518,064,594,256,478,405,878,
628,371,730,722,306,729,017,277,700,023,003,002,387,183,651,538,256,997,957,
731,293,761,102,792,067,744,198,865,489,473,608,439,844,455,243,557,068,260,
672,972,394,957,638,809,031,732,329,071,542,876,031,782,492,907,931,425,193,
436,771,384,978,284,005,783,677,895,465,621,702,584,439,762,980,690,734,230,
592,740,186,310,222,195,332,478,355,812,885,776,428,238,236,492,548,519,630,
008,935,589,882,195,407,401,423,786,139,600,518,292,551,520,708,254,484,553,
104,073,011,549,740,839,512,332,527,720,902,738,295,663,362,123,585,799,877,
957,353,377,072,778,205,154,017,515,071,052,753,745,675,749,736,903,251,652,
750,099,641,145,475,885,934,293,262,123,426,004,257,487,076,298,601,715,641,
013,032,058,590,574,329,196,301,366,108,594,340,174,032,466,468,043,487,676,
416,094,116,413,848,217,048,585,081,843,830,534,034,256,993,573,793,269,879,
917,031,717,935,364,102,661,441,607,118,416,790,691,841,293,940,890,324,466,
096,839,808,568,310,347,850,409,695,033,855,825,636,159,832,338,433,093,445,
609,765,740,642,525,355,745,263,074,590,143,319,597,247,282,726,619,566,117,
469,418,775,005,797,616,393,868,928,534,153,176,871,387,342,027,188,672,497,
214,012,834,069,377,287,274,783,500,533,952,789,231,678,826,693,881,330,159,
422,258,023,841,217,866,396,178,076,654,518,761,219,105,641,513,469,893,240,
105,562,746,239,337,867,685,989,546,574,923,291,186,060,826,655,787,123,507,
867,118,757,680,477,880,631,833,433,881,613,497,346,289,049,591,303,564,496,
995,950,823,372,722,170,050,536,914,455,603,750,349,018,490,974,475,355,813,
254,316,826,194,803,165,085,553,605,774,175,828,072,854,124,040,240,232,877,
236,136,746,389,487,222,465,042,064,621,610,966,676,099,443,331,774,372,585,
140,102,878,111,456,381,087,037,612,719,421,199,181,725,162,041,730,170,723,
100,409,499,409,201,699,691,003,128,893,368,287,448,574,970,043,998,998,590,
999,163,039,452,213,029,222,610,097,288,068,800,653,242,688,290,940,449,472,
568,827,921,567,359,473,353,921,474,162,431,223,924,677,047,789,916,628,395,
318,564,617,649,924,416,656,403,512,286,142,131,834,261,783,687,810,138,817,
873,017,054,295,113,719,462,267,164,013,439,050,176,692,417,916,997,280,609,
223,412,939,178,210,191,353,199,340,920,175,768,690,730,696,436,840,222,858,
878,706,855,573,825,643,480,425,948,713,112,362,226,029,214,459,407,190,533,
147,289,840,960,914,140,077,113,341,048,027,275,603,610,893,557,065,574,855,
058,671,174,041,428,892,032,220,157,594,370,602,283,904,989,792,312,650,291,
519,839,783,841,700,687,873,710,694,207,307,629,635,133,935,125,542,767,631,
964,356,794,506,847,392,648,853,215,997,803,041,950,564,791,784,030,364,363,
915,297,479,995,131,510,609,968,521,748,259,704,874,761,317,752,679,537,132,
142,171,563,786,796,024,421,720,917,866,433,623,594,349,884,141,643,357,742,
928,515,241,794,015,791,380,498,711,107,026,273,334,749,880,870,471,170,549,
410,039,320,534,183,663,752,061,822,477,876,664,168,339,357,650,972,073,365,
589,111,516,137,343,197,975,543,124,402,172,284,551,962,919,707,352,085,438,
347,913,322,418,787,127,378,119,766,928,142,231,483,009,126,704,032,342,446,
734,960,173,171,156,998,054,650,691,223,768,876,819,144,817,324,339,087,760,
555,698,578,191,680,890,079,721,873,225,209,830,091,606,284,710,071,815,599,
504,407,452,575,017,151,881,205,959,745,888,703,967,941,642,693,817,358,089,
645,151,135,691,072,238,737,330,399,506,875,283,247,776,807,186,858,762,321,
463,610,741,388,410,743,062,418,022,641,783,747,805,241,779,017,362,285,197,
086,127,093,486,803,329,764,309,831,198,668,782,061,902,404,346,351,994,207,
169,533,511,026,356,205,569,619,965,866,030,137,941,730,644,493,787,126,844,
866,566,764,284,037,844,374,306,845,498,141,328,802,248,721,067,039,529,040,
784,429,686,842,311,075,859,901,341,727,698,740,786,022,039,412,417,683,303,
369,821,395,487,581,746,997,162,847,133,838,454,022,846,558,869,876,513,548,
347,647,142,368,460,891,835,295,224,085,028,305,794,279,721,363,255,080,906,
199,979,878,009,067,639,991,135,674,965,931,157,056,713,455,072,290,921,420,
796,131,556,350,598,892,889,134,408,684,478,499,904,069,958,445,599,215,149,
230,190,435,113,515,254,260,041,350,066,174,775,604,791,474,427,493,477,603,
156,285,754,691,578,831,161,715,575,322,894,145,069,218,927,690,975,630,249,
198,852,235,918,880,675,222,053,223,934,833,643,542,139,848,287,459,143,701,
366,460,584,037,473,057,674,751,299,836,770,836,047,951,209,762,844,567,218,
094,871,286,569,929,704,685,224,181,467,175,948,370,522,907,396,295,279,018,
033,744,172,039,838,482,543,699,040,773,089,660,043,900,504,656,781,824,656,
720,633,568,488,337,450,266,432,280,736,469,329,287,448,091,984,169,443,558,
801,482,680,848,279,653,135,123,888,818,554,121,662,358,723,270,759,477,431,
545,193,942,523,045,461,750,505,145,640,488,232,005,185,330,940,995,312,624,
555,928,945,375,517,255,283,122,218,907,591,342,285,825,860,231,235,107,456,
758,781,087,224,083,180,276,921,725,461,414,597,405,261,856,666,673,188,400,
864,103,767,819,332,421,211,051,275,410,916,909,442,614,556,268,371,870,374,
095,760,574,098,685,539,527,149,495,807,658,365,470,172,992,338,111,432,550,
358,915,571,306,248,742,957,601,144,208,126,623,446,511,005,449,671,332,894,
505,753,386,931,491,444,729,685,404,224,411,440,645,513,514,047,163,038,368,
405,370,981,143,697,036,232,550,262,967,325,038,714,979,759,643,382,689,732,
777,410,918,308,661,714,496,076,694,735,594,691,702,235,927,962,676,596,402,
631,683,534,549,203,955,816,147,226,930,817,961,095,768,287,182,953,922,456,
403,365,977,834,072,016,892,173,797,340,510,614,902,441,038,166,178,097,157,
246,222,470,760,547,558,627,430,584,380,637,065,021,608,031,551,907,135,522,
837,845,098,840,037,782,658,360,754,313,153,162,495,325,481,669,514,415,182,
431,169,539,813,681,277,317,238,135,001,339,614,836,236,630,997,927,780,096,
210,871,504,527,411,388,849,769,357,368,640,755,964,604,637,074,999,095,967,
041,870,946,095,800,234,780,734,593,454,842,103,776,689,878,379,860,570,073,
096,356,661,974,743,307,847,955,488,550,080,637,704,944,193,493,609,788,868,
126,018,153,387,342,898,938,326,548,700,222,552,761,231,502,705,560,401,003,
742,359,241,621,671,368,324,571,347,501,041,656,824,572,796,144,554,498,481,
236,135,420,945,820,741,898,783,072,778,122,819,964,623,607,259,592,426,357,
495,808,611,231,952,974,585,426,472,929,431,126,402,790,935,932,379,648,365,
089,727,986,402,445,428,345,148,964,099,298,977,762,730,528,714,898,342,247,
998,637,996,530,360,947,930,231,859,885,557,826,767,703,868,257,057,533,401,
258,046,821,210,175,105,598,394,911,311,592,500,167,920,286,960,310,348,447,
100,675,316,422,057,314,197,033,889,503,355,955,646,333,038,962,368,027,212,
093,675,058,647,792,167,065,710,111,007,183,038,090,179,504,230,474,100,290,
103,635,547,434,416,094,843,596,713,401,265,648,962,402,430,057,651,899,333,
626,035,166,383,439,234,239,219,626,296,614,736,229,565,824,648,721,374,058,
677,994,676,329,708,953,187,713,478,854,261,914,156,491,168,073,637,091,492,
927,062,081,444,566,950,909,252,045,014,885,008,308,243,470,107,129,684,324,
125,034,301,024,966,535,660,368,868,940,695,942,642,208,877,350,367,395,127,
950,018,735,844,795,107,846,242,779,464,183,235,875,516,243,423,077,229,550,
382,741,505,837,206,175,809,714,141,135,682,401,085,674,952,593,000,486,051,
700,078,290,799,464,166,358,824,123,668,299,165,029,240,651,483,362,910,287,
396,898,097,328,595,994,135,088,475,706,205,243,878,681,747,561,447,838,589,
290,082,103,633,470,143,712,937,726,510,335,849,338,500,596,710,063,145,904,
317,461,808,045,643,805,083,629,228,275,355,773,207,338,515,015,622,043,791,
443,466,648,696,117,782,790,861,191,430,941,089,864,999,160,679,213,079,238,
059,031,241,667,757,511,003,330,303,326,180,189,772,006,422,741,817,888,270,
577,103,466,915,173,910,275,187,122,264,431,368,376,588,089,416,018,187,644,
425,483,044,364,394,387,516,383,408,516,488,778,744,233,386,465,141,341,173,
265,682,755,974,780,978,671,172,967,508,107,323,734,559,420,208,851,960,126,
578,849,670,706,236,290,997,330,057,567,405,709,886,716,308,744,256,776,612,
951,133,994,791,482,801,539,672,621,820,440,073,912,731,545,820,839,905,014,
928,192,064,074,027,468,142,003,431,040,488,630,388,302,415,863,429,729,620,
824,737,808,795,107,827,535,233,969,454,249,575,749,733,500,215,875,257,883,
915,345,725,186,520,267,895,481,299,114,710,501,529,458,275,171,189,833,385,
219,969,864,210,144,905,932,173,174,150,083,915,861,282,711,491,158,027,303,
498,806,704,904,252,798,975,392,267,112,852,941,537,788,581,935,735,982,013,
829,344,311,647,658,232,953,101,815,706,383,982,293,788,946,014,952,562,718,
486,727,818,296,830,307,858,289,326,373,758,371,750,467,861,857,032,265,059,
967,076,450,411,030,774,360,577,822,117,069,421,771,469,346,652,169,455,672,
657,415,042,656,263,821,998,224,976,014,930,479,111,714,631,297,404,616,930,
405,557,219,517,204,132,100,928,974,364,888,561,762,874,523,773,528,153,455,
337,411,356,768,869,102,607,600,913,088,379,251,238,964,989,001,011,915,038,
813,743,795,928,564,343,769,569,179,012,548,437,529,300,127,031,410,381,339,
070,914,132,895,520,009,799,016,752,629,678,484,492,146,886,377,481,703,655,
371,605,731,365,463,126,658,894,197,109,323,363,496,403,062,680,884,414,550,
631,938,742,843,893,996,076,130,126,241,701,993,363,426,472,324,352,847,798,
358,332,848,669,025,996,630,148,748,912,220,176,746,284,991,014,719,408,228,
521,472,896,086,217,071,460,186,717,809,853,346,938,103,849,306,381,169,235,
094,471,902,783,100,670,764,954,783,425,585,475,012,610,904,124,509,699,172,
676,542,566,624,612,747,869,987,906,583,714,151,955,328,960,877,397,916,800,
942,903,329,903,203,506,607,643,263,823,592,413,408,953,816,982,914,627,366,
011,951,693,496,489,770,536,947,402,406,741,861,011,617,784,185,699,248,104,
178,607,782,419,521,662,192,398,120,159,366,817,893,561,946,628,074,023,574,
198,682,860,588,361,109,544,116,869,113,940,525,162,850,674,887,319,743,523,
552,658,454,908,226,282,440,402,488,289,219,849,044,410,388,109,104,289,912,
004,436,100,970,791,336,485,024,952,165,400,453,280,242,627,782,878,251,875,
258,195,161,051,400,252,148,448,203,761,888,300,613,868,967,361,927,705,934,
590,920,606,704,086,972,981,646,349,978,084,980,498,328,395,165,407,190,255,
743,165,453,298,448,704,420,573,739,487,908,793,387,720,833,134,842,809,944,
839,319,687,251,859,812,533,864,042,156,714,178,019,950,599,509,188,447,728,
208,169,808,416,334,404,974,306,279,271,043,844,516,232,581,634,223,461,971,
226,150,020,572,533,537,114,082,680,168,650,756,663,090,198,765,701,747,065,
019,995,305,521,580,579,394,009,275,800,358,916,743,309,046,383,905,630,361,
718,913,694,002,131,788,312,014,626,743,890,577,634,412,815,900,582,178,039,
904,264,218,045,846,523,734,213,404,984,988,520,244,731,874,978,039,204,053,
601,828,914,637,570,037,750,828,507,483,504,257,080,690,496,524,982,335,449,
140,390,840,514,353,771,448,283,404,458,097,596,982,141,293,563,961,923,730,
408,085,830,086,726,430,380,894,948,365,387,966,155,986,789,576,715,578,530,
772,822,352,077,090,331,509,252,496,512,867,285,075,034,576,036,594,300,979,
384,021,079,185,100,125,628,252,106,989,164,503,829,161,303,842,144,036,367,
524,138,679,328,148,858,594,446,545,548,410,473,988,522,918,722,735,515,819,
537,163,029,694,956,521,430,521,017,724,805,509,495,228,823,396,690,252,528,
789,930,863,565,497,012,750,359,754,013,913,879,765,691,038,748,165,186,192,
931,456,737,730,160,763,949,507,397,377,401,300,923,827,760,352,864,478,543,
996,323,226,116,982,341,106,712,524,096,023,629,501,429,458,089,161,840,033,
639,797,692,305,390,662,675,197,836,785,403,954,796,738,986,961,215,680,910,
804,890,945,118,186,981,912,172,616,799,426,071,952,187,726,281,780,208,959,
480,256,131,136,013,254,545,693,215,592,353,220,312,978,394,850,308,052,115,
762,807,410,600,276,825,000,058,112,848,370,977,251,897,921,728,005,816,584,
364,751,157,620,100,272,421,961,705,991,141,458,931,792,292,912,058,997,751,
854,851,908,420,083,411,958,823,169,713,593,263,867,800,332,098,879,741,147,
633,267,784,770,329,550,019,744,040,956,164,441,652,115,144,652,800,080,197,
495,529,892,581,898,080,976,190,539,273,240,606,122,672,034,039,433,258,766,
597,604,910,425,486,751,592,158,738,916,613,535,446,213,606,548,136,004,732,
520,453,373,321,481,100,690,096,521,936,527,991,443,744,789,614,203,398,757,
031,782,416,469,312,497,447,992,275,807,390,757,128,824,682,872,472,453,427,
791,934,909,198,866,850,557,388,531,024,393,330,550,477,738,297,458,568,157,
781,447,562,297,209,027,170,506,449,192,181,865,407,580,489,165,354,883,351,
159,016,244,568,547,163,008,184,733,722,380,418,680,308,837,742,284,466,008,
644,694,570,365,292,784,778,249,152,237,401,797,592,413,633,828,729,563,436,
536,389,014,962,405,472,218,755,041,224,740,672,027,543,578,721,303,481,540,
063,055,653,765,555,738,391,256,571,076,942,068,484,400,309,226,074,116,991,
163,736,112,684,417,248,323,261,057,004,187,053,493,346,085,249,072,641,336,
129,049,951,222,694,327,073,120,549,198,730,651,986,147,730,449,377,917,387,
612,749,865,442,176,581,794,114,032,953,411,103,708,221,500,164,766,080,216,
332,004,412,166,692,223,774,555,135,526,318,116,178,560,813,011,528,645,507,
312,644,219,993,344,618,055,370,213,389,484,016,212,879,616,256,011,001,436,
191,448,553,013,321,534,294,287,874,693,139,146,863,742,215,476,637,700,296,
870,894,499,842,133,885,516,616,352,879,927,256,630,160,504,948,067,728,927,
804,978,900,645,572,974,617,519,291,353,266,760,493,317,420,650,175,095,060,
117,485,193,687,569,340,002,017,600,120,199,895,834,503,866,264,215,009,644,
677,760,746,551,889,479,137,711,203,175,032,209,732,035,700,617,437,544,988,
320,537,340,992,204,339,429,115,375,181,560,402,918,870,662,710,668,343,438,
869,512,282,509,513,932,891,028,670,456,445,070,799,175,568,181,069,705,786,
688,220,168,990,439,006,713,125,699,925,905,063,747,086,010,844,344,850,570,
275,617,594,033,622,971,513,634,461,306,186,966,163,000,405,444,204,621,299,
335,679,550,345,570,608,794,485,201,269,001,583,491,658,592,562,128,051,780,
745,895,694,211,316,824,318,587,640,967,139,223,674,398,364,173,568,059,042,
470,628,690,170,003,203,268,951,664,485,214,498,736,596,574,694,616,585,031,
524,939,022,549,125,658,689,251,717,002,017,067,609,495,394,653,054,546,037,
288,694,400,581,154,686,168,417,789,488,530,908,391,862,096,004,464,351,405,
012,232,362,392,264,548,948,325,952,300,030,989,498,828,859,994,852,069,392,
853,139,854,862,197,704,625,351,769,796,255,453,258,358,882,264,330,176,923,
837,877,242,558,105,603,641,708,913,869,266,881,511,154,861,056,569,338,349,
632,990,709,077,187,530,074,733,430,050,738,808,720,901,897,231,528,796,817,
201,551,669,116,963,209,693,241,425,750,798,382,351,031,221,121,873,373,005,
325,165,761,169,266,228,411,198,743,146,379,849,863,451,038,790,754,798,638,
757,489,114,038,224,023,685,008,341,786,924,839,031,854,491,178,650,779,831,
380,367,635,435,132,116,724,795,490,509,001,259,352,398,923,984,664,001,522,
806,358,170,076,282,725,897,073,154,404,520,022,479,592,769,912,984,607,114,
976,823,010,463,066,537,576,377,592,820,947,796,335,689,600,474,060,366,569,
498,081,669,092,469,090,952,843,468,597,574,741,565,769,845,484,572,139,936,
788,947,732,690,519,313,705,553,515,746,335,796,757,066,794,823,260,213,005,
143,125,533,022,401,733,979,410,255,920,712,157,261,987,718,015,433,442,364,
219,241,712,469,831,468,584,577,297,227,911,513,632,271,934,804,537,052,169,
278,915,025,084,258,414,198,236,452,512,429,236,138,706,267,898,022,997,953,
974,623,615,728,521,058,518,344,044,216,834,716,670,000,721,386,686,675,372,
959,212,127,482,977,585,611,705,995,077,797,305,072,211,572,723,570,618,345,
620,971,013,671,917,493,684,517,255,665,636,774,195,998,551,735,859,455,887,
582,718,925,229,320,893,878,002,528,000,950,191,406,410,153,994,474,839,780,
919,192,371,063,972,108,817,654,376,040,174,803,351,822,571,324,760,196,200,
782,220,695,912,515,176,785,143,082,045,940,158,132,083,133,955,960,329,443,
770,173,463,642,012,749,112,317,445,020,237,389,356,264,220,330,195,651,011,
290,503,286,727,948,148,721,656,237,386,668,918,997,962,912,189,995,652,510,
282,212,882,473,941,997,901,065,466,756,363,386,227,516,484,407,015,172,097,
333,629,334,780,065,447,885,043,097,795,314,144,148,792,916,636,004,277,597,
228,845,029,432,853,573,416,720,448,750,669,969,162,817,647,376,666,719,241,
892,794,024,979,792,791,708,065,405,541,563,431,216,595,817,943,626,862,158,
003,171,883,572,307,383,521,613,209,734,843,409,125,377,066,102,477,025,948,
481,090,698,973,556,507,877,167,798,664,745,029,257,377,597,352,835,009,968,
776,679,375,947,795,301,116,498,550,508,703,621,573,564,392,435,484,718,336,
047,020,623,289,274,946,767,214,841,825,124,799,140,425,441,529,307,443,195,
304,764,454,806,607,003,258,678,102,256,235,971,410,084,794,047,438,799,203,
128,502,899,955,928,469,789,993,317,338,232,535,184,038,304,017,559,666,730,
666,514,003,871,726,066,279,399,437,793,798,436,466,320,127,873,609,249,913,
908,248,337,211,708,586,068,378,255,701,160,956,003,220,351,815,948,907,565,
466,724,998,624,925,009,234,133,830,032,845,106,030,448,123,358,191,088,352,
107,668,480,346,071,016,249,227,758,991,665,864,615,301,938,819,689,034,857,
865,457,161,027,202,129,283,514,124,332,284,966,144,300,957,247,289,165,854,
246,650,783,300,953,243,712,341,119,476,811,571,799,289,810,041,004,018,520,
162,181,023,208,608,257,663,039,265,337,195,468,026,086,347,015,689,345,341,
608,068,507,375,732,364,318,846,196,862,397,776,476,477,937,237,572,866,871,
970,841,500,285,997,386,769,456,444,074,857,017,044,374,911,993,083,343,695,
696,110,570,413,366,447,899,940,544,989,917,211,928,173,103,876,640,394,512,
731,191,831,244,245,134,823,265,795,968,071,564,312,972,296,008,955,685,759,
021,751,235,720,615,391,148,056,244,950,626,026,358,041,920,375,462,232,063,
345,956,263,913,315,800,517,194,853,278,351,759,322,664,618,927,199,102,367,
865,904,612,895,004,130,057,865,508,942,368,988,292,397,819,724,872,463,318,
159,645,929,392,193,124,889,441,579,389,652,103,219,671,338,670,960,728,046,
039,139,541,880,852,061,331,604,322,154,525,372,107,711,359,273,675,393,909,
813,819,217,664,826,919,211,525,650,971,177,998,396,681,472,450,355,436,664,
277,720,023,848,146,935,976,555,908,921,582,899,735,665,194,257,063,626,705,
491,379,912,489,614,018,449,254,953,856,445,986,602,247,967,039,332,792,300,
774,603,991,517,875,107,674,503,586,483,554,412,299,638,540,456,732,163,993,
896,325,619,191,471,303,786,659,882,333,592,763,119,040,389,713,003,537,387,
305,202,778,375,739,038,755,759,832,414,621,890,281,697,216,917,396,163,095,
191,538,594,024,728,945,432,990,178,836,462,858,756,524,307,308,469,197,188,
611,400,447,854,917,034,174,214,441,435,929,215,472,787,031,307,867,203,068,
843,181,561,260,930,170,434,843,321,935,697,075,874,926,718,137,242,927,905,
243,323,515,985,248,692,634,236,666,482,751,071,549,563,350,239,224,078,132,
565,166,618,025,179,273,369,909,322,321,587,145,527,221,402,702,598,349,896,
662,688,087,900,732,688,169,891,287,516,263,297,540,624,303,214,237,585,862,
286,439,152,262,224,655,607,544,851,775,659,992,622,941,171,590,637,532,225,
066,668,334,588,083,383,458,427,686,550,059,334,133,395,274,456,045,037,190,
698,678,540,120,863,477,203,473,967,691,276,638,926,602,329,874,353,791,216,
848,911,870,804,886,713,885,438,013,940,221,017,424,226,039,217,283,594,528,
821,745,638,385,849,665,458,364,075,867,101,546,303,132,622,296,187,967,940,
846,490,273,919,411,979,502,654,233,110,843,294,953,193,065,283,166,601,916,
759,678,667,439,799,748,080,066,754,236,051,208,902,151,755,490,217,590,941,
502,382,825,224,492,484,246,778,308,135,953,579,106,251,506,387,061,814,257,
218,222,535,980,247,283,065,748,363,871,019,892,216,474,735,408,865,666,843,
277,001,092,033,340,314,850,041,190,079,877,268,648,386,861,826,338,210,415,
570,007,018,541,274,824,552,200,571,036,211,370,278,895,701,424,376,083,276,
893,101,675,142,494,928,339,781,995,083,217,615,728,972,714,892,299,764,316,
066,886,737,983,660,268,599,722,254,818,878,168,376,331,812,492,575,121,019,
039,605,046,795,955,890,725,038,971,009,800,816,554,744,455,184,329,876,143,
109,812,654,278,828,930,782,097,264,650,127,756,934,870,435,942,124,546,990,
831,379,467,430,170,237,571,902,707,992,528,847,926,986,956,374,213,944,871,
049,167,172,901,566,543,247,811,664,116,685,348,993,387,784,667,031,161,559,
573,515,274,215,133,435,192,065,380,961,029,758,438,401,940,239,659,976,970,
030,749,621,005,870,580,598,323,221,978,851,041,175,634,859,669,998,678,402,
898,923,270,733,244,152,843,525,351,973,870,956,759,190,499,839,280,756,988,
329,535,677,517,242,786,245,415,731,827,987,392,273,611,178,738,168,291,847,
608,402,472,406,138,273,872,641,115,146,993,642,967,036,455,024,258,187,530,
641,934,967,386,574,141,818,930,533,644,174,185,190,255,603,740,365,163,898,
988,397,163,154,579,023,185,566,034,522,517,191,377,945,976,628,114,564,440,
319,981,758,975,727,804,556,177,585,383,323,285,059,626,820,424,602,259,829,
538,818,067,358,031,969,457,698,392,401,826,100,326,129,123,383,365,562,917,
943,549,125,112,923,870,949,140,496,519,248,864,577,662,602,954,078,553,872,
639,520,998,510,634,914,605,627,359,586,108,129,324,420,229,569,075,908,154,
697,635,420,310,291,425,037,630,457,324,802,662,663,297,263,953,850,985,530,
576,004,334,513,425,998,880,171,278,912,196,809,912,480,520,532,670,438,637,
499,100,748,158,713,105,452,115,069,394,361,425,993,398,297,913,609,812,010,
093,578,631,397,885,310,968,616,263,567,791,833,170,680,074,779,362,965,858,
102,842,253,636,600,672,007,549,057,263,417,497,150,234,935,214,685,066,057,
819,938,379,168,847,427,353,450,916,121,264,505,974,438,931,496,710,158,333,
287,864,402,090,737,784,836,282,700,259,371,658,794,964,303,122,735,745,307,
741,528,591,232,815,141,213,627,654,751,708,194,805,253,155,270,739,349,361,
458,557,274,451,532,404,927,112,249,287,442,121,655,351,318,879,085,111,718,
677,630,863,844,281,706,513,707,303,227,507,189,427,654,406,402,821,400,717,
214,021,037,940,751,835,998,699,476,170,436,299,585,736,395,867,407,167,542,
802,228,169,038,530,804,875,229,185,314,961,981,792,197,716,297,126,610,625,
922,290,005,193,626,689,015,542,380,034,566,042,389,384,281,537,779,895,760,
597,805,552,816,022,675,116,494,179,709,001,394,292,416,302,686,344,942,046,
915,045,819,800,803,465,386,890,631,113,436,523,498,422,993,303,094,830,318,
040,477,466,371,644,658,884,024,818,325,123,749,970,243,409,033,904,620,857,
516,821,475,314,080,060,349,295,157,115,957,213,564,442,706,438,695,811,365,
530,200,272,481,911,105,135,703,054,786,014,686,434,037,852,687,713,056,785,
358,025,954,624,392,371,513,594,779,080,596,271,152,008,061,213,293,996,960,
297,495,832,696,833,809,105,416,583,484,647,692,550,646,974,474,301,770,351,
622,110,197,351,737,144,783,213,642,975,748,660,676,901,727,703,444,804,645,
003,597,041,970,501,493,783,239,258,373,318,279,710,782,826,084,199,187,758,
437,567,864,942,387,002,385,623,201,872,305,378,873,837,366,790,578,799,079,
291,942,597,816,886,953,244,785,204,226,713,650,613,447,038,745,762,390,086,
130,293,868,282,717,939,112,479,410,112,337,191,227,180,117,512,427,808,079,
152,891,475,146,585,789,654,408,572,588,210,342,991,891,145,515,080,597,605,
252,847,061,347,134,355,659,899,479,758,879,817,935,410,855,146,410,277,371,
310,385,081,585,598,597,758,924,041,572,097,397,198,416,262,678,051,727,762,
962,872,052,522,290,835,494,314,020,234,241,326,696,885,169,570,930,048,030,
022,946,081,671,724,899,817,535,207,811,398,796,632,459,088,770,531,160,801,
933,461,256,950,842,853,420,129,226,142,309,467,836,307,247,408,711,628,932,
338,175,405,425,336,370,279,678,902,870,566,493,944,193,878,153,489,745,161,
726,730,636,315,928,387,924,982,762,643,199,125,740,371,721,056,292,551,361,
898,125,123,487,522,572,509,599,197,278,577,807,025,651,858,907,400,816,709,
489,047,456,372,238,953,625,951,369,063,523,545,391,055,530,965,759,761,738,
500,605,328,011,179,434,577,975,688,489,551,772,442,568,188,581,163,529,030,
719,884,027,407,418,392,191,388,821,482,503,677,227,506,366,074,151,673,626,
930,758,264,406,708,633,991,819,057,108,972,236,109,001,088,057,121,711,764,
974,834,418,989,755,998,997,455,781,527,053,004,568,763,657,799,107,241,358,
187,864,484,694,781,361,492,423,420,643,648,320,881,107,547,562,028,055,828,
777,713,054,000,794,756,192,799,980,661,679,760,392,858,448,754,528,575,660,
022,683,324,263,573,349,345,074,560,065,218,062,722,653,395,425,189,766,062,
379,416,123,668,777,474,603,435,489,746,976,974,573,510,358,558,612,332,411,
625,471,021,368,872,330,635,333,249,967,526,308,181,633,573,440,580,673,947,
493,726,893,241,988,689,751,988,143,219,445,891,309,681,686,626,507,093,597,
012,439,523,030,916,964,404,689,866,994,349,420,007,144,236,649,010,910,670,
839,904,188,651,757,457,820,815,596,959,451,054,171,448,141,645,118,969,110,
908,341,382,965,107,720,388,266,124,605,923,885,421,613,929,993,110,013,282,
980,831,227,484,866,867,834,102,928,463,285,674,399,708,009,625,185,315,071,
459,108,731,966,883,724,720,624,897,185,417,431,991,529,530,973,835,851,915,
191,128,516,721,620,554,036,211,987,456,923,561,799,876,506,554,615,202,750,
172,303,475,096,473,609,392,268,803,275,169,195,755,676,282,259,052,209,276,
593,383,382,284,067,695,210,069,139,572,524,699,461,439,778,124,807,791,261,
618,153,310,430,189,337,474,264,295,237,068,153,109,523,525,021,918,427,094,
452,530,381,275,750,746,856,841,750,165,204,946,762,732,704,740,872,192,656,
915,521,029,242,136,426,080,193,140,943,428,879,190,743,829,929,920,962,982,
705,605,745,191,160,570,651,782,702,913,864,691,548,460,550,351,787,107,262,
261,387,027,327,413,716,472,618,342,744,383,466,295,616,797,885,238,606,629,
936,337,351,758,722,123,487,411,784,762,605,436,970,500,934,680,907,928,085,
237,041,580,204,105,506,305,251,045,531,583,196,279,312,301,834,666,795,765,
694,510,408,204,984,922,468,300,811,645,790,651,732,739,433,534,075,821,320,
515,773,068,224,859,166,468,911,395,442,993,520,189,973,365,236,792,867,124,
099,557,867,229,664,572,262,672,443,102,556,071,271,433,950,179,969,272,464,
158,525,729,382,704,844,783,882,236,666,246,684,437,742,580,520,579,888,589,
918,961,676,888,524,795,092,955,610,884,061,112,034,173,702,316,063,496,587,
747,512,188,564,494,289,139,074,297,439,398,475,279,092,806,084,565,730,370,
269,860,879,765,230,936,629,366,066,831,226,602,038,272,570,593,169,783,500,
381,559,322,239,577,731,662,151,966,001,962,949,743,046,119,016,719,224,167,
737,555,071,288,673,958,399,178,780,342,055,359,103,124,779,288,991,056,860,
183,995,878,808,233,419,253,775,659,011,264,529,285,967,354,843,539,577,261,
510,099,973,175,728,108,382,284,633,367,278,622,015,258,953,189,781,496,280,
901,847,558,573,841,702,441,130,157,416,031,321,239,825,609,869,999,114,922,
671,991,197,737,419,785,645,905,644,907,708,457,401,935,989,940,477,506,429,
848,665,120,115,311,259,615,924,738,574,230,541,838,780,323,258,658,397,528,
296,425,510,395,020,641,316,517,845,065,032,516,102,087,016,615,370,102,008,
365,594,480,630,836,065,667,882,947,897,018,465,087,601,295,521,009,265,183,
023,386,423,107,730,635,716,814,083,066,808,024,940,602,003,800,053,238,108,
833,138,965,525,075,819,737,445,211,141,977,242,382,322,652,876,849,369,786,
399,087,113,704,868,038,665,952,613,153,049,009,412,892,371,233,745,810,971,
199,261,290,196,525,594,386,729,088,930,201,152,724,198,527,493,088,536,680,
644,090,068,354,368,067,387,243,991,336,066,222,462,908,777,600,006,405,780,
136,243,588,499,819,408,326,630,327,789,209,325,108,588,022,538,186,967,092,
466,248,073,985,070,467,497,082,829,110,341,949,066,459,034,478,596,841,214,
439,947,144,834,395,178,046,474,721,344,247,493,780,289,990,787,131,375,192,
751,849,326,803,381,153,349,067,286,261,677,560,180,114,782,736,094,609,381,
377,291,461,943,769,821,674,083,944,956,655,118,372,214,974,983,587,597,993,
615,302,739,742,436,901,640,631,997,881,187,071,852,762,774,369,952,472,874,
023,436,266,606,528,490,309,601,150,998,396,912,108,375,641,469,770,544,756,
575,264,545,412,613,497,321,194,063,015,641,526,573,333,689,206,467,899,704,
442,560,683,154,637,653,038,023,082,147,722,452,814,783,570,920,183,871,968,
886,875,966,485,522,785,791,874,192,402,516,884,886,655,616,755,679,473,384,
292,627,186,379,510,772,040,215,751,296,039,502,459,862,992,936,892,407,664,
978,198,554,666,224,465,467,005,914,939,309,257,033,103,891,996,839,999,664,
240,332,071,238,925,366,679,502,435,332,069,875,619,225,829,540,336,897,395,
347,703,434,214,459,040,638,270,823,509,181,621,834,898,190,159,113,221,129,
625,741,122,259,492,239,154,088,555,604,016,649,272,221,605,913,839,946,236,
182,237,580,219,959,392,245,636,430,319,227,807,376,032,244,742,219,270,691,
544,727,506,248,998,914,317,723,959,793,891,667,712,280,706,487,233,523,387,
959,800,660,924,782,959,968,354,867,353,748,191,918,310,507,197,477,604,161,
591,231,804,334,640,535,055,678,943,487,592,400,281,878,843,438,390,018,710,
700,174,906,809,864,858,509,093,358,255,621,102,681,273,598,967,798,209,754,
186,504,289,878,845,171,991,050,881,590,668,101,530,384,613,701,064,571,506,
283,422,826,482,005,291,453,350,101,769,445,976,548,437,145,154,901,920,415,
509,295,586,834,852,648,282,441,514,732,318,010,241,555,111,699,192,905,526,
208,615,285,275,838,142,605,336,269,891,017,477,293,291,053,084,378,224,661,
734,438,404,631,442,733,291,783,252,272,046,693,767,663,375,194,465,167,085,
965,854,951,640,155,386,601,677,194,299,916,360,293,525,224,258,006,818,474,
214,685,174,893,129,973,113,895,362,136,226,192,149,487,032,868,384,245,044,
897,007,499,030,334,608,267,126,146,685,452,623,766,026,574,647,179,110,701,
757,321,136,529,030,324,950,860,844,173,324,305,241,008,547,424,817,672,126,
250,525,009,812,761,123,425,080,562,277,275,340,327,248,233,418,976,300,568,
347,479,984,615,444,055,493,871,286,230,907,994,512,371,412,731,335,661,980,
550,090,698,634,317,660,051,486,619,019,311,538,438,166,643,417,623,842,807,
802,871,466,443,506,131,623,224,600,009,598,099,074,862,141,794,865,232,715,
125,686,436,423,385,302,741,659,529,478,038,514,714,399,349,977,677,255,893,
012,438,726,951,088,965,475,634,515,384,986,528,420,583,556,401,881,361,842,
511,627,290,656,507,863,513,274,942,105,248,697,982,150,747,850,260,446,745,
694,205,292,347,805,314,368,780,320,453,187,754,044,001,175,839,158,874,406,
248,181,059,992,125,574,678,064,962,313,350,909,903,860,184,864,546,600,564,
474,067,407,674,715,738,602,865,849,738,377,710,234,596,969,602,048,117,323,
581,916,399,450,956,859,850,702,183,890,610,931,606,818,909,795,839,132,768,
455,672,718,929,254,534,214,920,677,670,910,848,393,502,921,218,234,320,578,
100,074,541,654,852,071,393,147,090,769,060,460,108,564,372,286,464,722,287,
035,557,567,990,165,311,138,579,009,376,656,271,050,230,946,253,807,809,102,
192,975,747,958,433,680,965,725,389,770,988,091,314,388,789,047,873,626,935,
686,881,320,399,283,044,482,938,120,340,682,185,778,873,645,579,830,367,063,
516,664,383,682,635,725,597,389,742,787,382,155,587,568,550,935,394,110,132,
348,256,546,419,976,195,937,510,646,247,855,449,905,061,324,118,791,460,269,
123,803,513,070,933,355,840,340,971,443,150,422,334,681,276,446,400,588,145,
434,629,727,573,589,290,725,308,992,200,618,086,928,154,956,397,424,280,273,
471,524,790,025,119,193,155,940,293,834,407,967,121,219,143,396,473,757,369,
352,184,144,310,498,936,597,158,885,667,338,567,072,601,335,719,891,743,230,
654,190,481,759,157,582,448,802,470,382,121,683,574,359,875,795,564,125,089,
032,798,301,597,085,088,668,666,392,151,298,339,430,661,983,221,757,679,924,
737,051,206,892,031,318,993,608,923,169,952,535,046,471,394,003,746,464,616,
107,839,902,260,275,476,537,461,812,061,569,230,475,214,100,828,886,004,030,
737,854,755,493,347,616,101,106,964,545,248,629,544,117,537,381,610,495,587,
103,260,219,462,200,851,519,860,987,975,304,070,155,858,726,342,549,664,878,
050,805,901,097,736,658,511,861,947,247,912,042,041,064,154,260,307,715,628,
709,073,479,320,499,039,545,958,627,203,515,812,482,806,557,147,753,384,980,
812,412,314,743,684,832,441,953,939,575,410,828,157,069,786,707,403,680,718,
953,759,079,356,282,524,992,190,621,104,420,152,300,277,933,652,131,831,985,
906,578,378,334,600,302,863,623,725,624,275,718,341,989,579,290,282,406,826,
523,510,683,413,851,415,108,745,085,613,058,986,294,790,580,749,161,814,154,
021,479,884,530,373,813,342,286,762,071,663,088,314,949,413,132,670,257,284,
831,829,227,079,174,671,475,550,446,041,307,094,536,361,975,922,628,021,774,
909,291,523,160,558,656,548,891,420,928,978,413,368,324,383,689,290,122,977,
166,792,715,027,497,864,480,447,285,875,998,261,946,954,671,476,864,611,008,
763,771,252,921,460,385,723,207,796,304,869,359,029,470,178,058,970,699,489,
631,664,417,295,985,353,737,292,018,915,786,173,370,857,025,631,091,761,130,
852,138,925,090,274,303,774,910,491,856,911,271,588,886,411,448,553,513,813,
654,958,672,271,346,881,576,564,439,275,515,812,169,421,541,074,802,880,440,
676,364,598,517,349,917,832,371,356,237,121,282,676,077,451,700,725,728,619,
082,474,275,867,642,441,618,223,951,160,699,952,680,439,658,101,036,454,701,
273,388,574,282,529,871,108,905,210,423,193,517,287,966,093,201,052,882,193,
829,383,006,277,662,747,679,639,524,164,012,932,801,210,853,003,598,531,194,
613,606,808,638,164,655,136,511,564,152,031,071,436,749,584,930,984,242,892,
178,586,551,851,580,494,655,041,305,979,803,228,808,406,869,804,202,532,462,
852,901,402,008,499,290,898,889,080,515,495,071,374,334,483,011,079,370,558,
102,957,473,534,878,322,818,068,484,027,891,203,749,963,414,895,804,474,647,
811,976,511,164,149,033,427,362,333,731,320,135,927,851,238,875,595,347,451,
077,702,256,269,115,802,816,181,716,673,727,210,839,457,105,230,693,171,472,
330,859,895,717,843,270,054,039,569,370,501,549,763,951,725,407,876,624,803,
864,235,937,226,649,190,977,515,522,866,559,597,554,833,624,499,935,643,921,
238,574,362,838,588,005,566,649,624,903,709,143,960,884,285,889,376,454,076,
299,072,726,338,416,895,565,144,195,482,248,050,329,625,256,944,400,970,344,
024,188,540,398,460,009,213,299,311,243,583,917,111,347,402,209,647,449,404,
633,640,203,856,037,438,641,984,970,799,682,772,829,589,833,179,859,718,019,
287,637,573,068,257,458,390,350,195,342,519,699,994,173,282,095,288,101,473,
471,045,558,597,292,007,179,766,270,162,657,287,163,015,769,078,143,385,370,
542,500,671,429,916,939,416,626,550,884,924,777,946,183,796,100,420,296,490,
192,591,681,809,787,099,448,436,827,688,053,784,712,774,530,199,437,534,756,
342,855,916,272,849,747,239,143,603,613,099,729,375,130,533,803,302,219,367,
939,861,043,456,407,930,115,471,935,194,426,656,438,971,873,276,761,148,427,
181,201,036,110,642,289,138,871,249,770,441,695,744,250,299,909,829,502,212,
058,338,136,291,406,746,901,537,774,013,663,326,504,517,175,967,298,558,395,
692,771,999,249,936,526,069,805,134,957,165,977,537,986,004,884,450,944,159,
582,309,698,397,639,216,812,961,199,904,890,039,490,658,020,380,180,969,624,
203,856,884,374,989,121,075,810,217,372,074,988,338,534,381,357,612,105,292,
081,583,363,819,361,849,840,816,232,720,054,065,956,073,397,166,091,172,270,
707,619,625,767,761,768,339,470,527,549,547,583,091,410,969,780,740,151,817,
439,289,797,162,520,991,265,748,150,586,722,686,230,429,194,557,167,281,517,
592,474,545,748,372,055,706,578,505,959,714,027,692,450,413,142,778,474,554,
959,140,115,812,242,791,211,589,501,766,557,177,652,194,352,300,682,598,129,
745,906,849,240,267,622,375,931,649,457,318,668,059,112,874,633,589,651,326,
455,472,196,283,543,086,646,769,751,816,659,063,740,644,644,723,573,414,296,
861,178,808,439,764,212,578,691,701,026,822,803,425,384,890,827,204,698,654,
318,684,217,331,952,364,509,778,172,944,455,576,255,042,629,871,445,544,443,
768,327,650,308,584,229,740,674,965,207,951,685,077,574,849,905,575,455,389,
850,284,842,722,267,273,917,665,577,782,680,213,306,804,610,177,571,311,677,
023,719,640,455,826,852,757,149,826,701,975,631,902,395,127,615,968,096,180,
065,626,771,915,864,924,298,877,481,571,093,564,170,266,375,966,677,813,232,
571,475,015,275,878,753,431,840,063,666,123,978,406,762,950,710,661,485,144,
900,131,250,655,910,589,263,942,337,304,075,763,995,149,106,199,070,815,591,
242,117,537,590,711,295,853,051,461,989,082,707,673,726,864,262,893,450,346,
797,923,969,274,426,805,126,330,015,085,342,431,085,452,114,489,564,174,148,
290,808,534,864,519,440,732,136,385,570,737,163,490,111,197,033,470,724,109,
048,696,400,145,848,711,235,450,977,659,057,640,778,427,767,235,983,435,021,
795,503,826,914,204,405,837,893,799,095,366,529,870,322,291,029,342,290,262,
295,929,156,579,518,538,379,701,755,261,440,439,298,579,259,215,880,324,792,
583,022,984,948,072,231,666,801,309,809,750,857,096,052,628,882,744,141,747,
397,910,751,534,798,534,777,286,472,390,845,464,752,698,823,584,364,238,535,
861,825,164,234,252,118,660,105,110,790,665,811,593,673,867,065,993,895,979,
067,179,506,965,799,619,255,107,702,514,176,511,061,158,646,163,240,226,738,
592,962,586,635,547,129,437,340,202,549,695,773,056,939,760,399,393,798,037,
130,646,791,381,257,030,733,073,602,004,937,471,494,394,293,503,738,123,692,
691,663,380,788,271,983,821,313,821,058,956,539,018,944,737,466,715,282,275,
847,126,011,747,090,773,695,450,231,475,548,032,825,328,232,977,745,912,138,
688,193,867,418,525,959,780,656,158,399,572,710,875,453,003,112,204,858,410,
692,947,210,833,069,904,384,304,852,526,726,957,855,315,686,759,315,254,296,
170,431,864,265,642,641,721,497,142,697,554,856,110,140,320,867,087,926,971,
596,543,043,053,172,161,106,629,165,523,838,353,992,199,721,634,874,026,086,
924,783,368,220,091,553,991,918,177,970,438,816,244,228,563,524,584,083,002,
180,129,600,579,612,912,128,099,305,248,157,430,297,426,341,690,605,594,996,
209,383,072,063,524,366,611,629,829,241,169,159,266,778,819,997,664,065,592,
354,766,147,237,691,224,038,552,661,638,471,294,375,187,827,127,677,135,062,
538,739,412,329,913,124,314,700,196,344,816,512,960,010,451,561,234,729,863,
726,113,881,570,862,504,023,788,275,475,033,835,247,144,927,309,390,878,948,
501,579,685,670,698,503,069,431,907,236,474,821,038,151,735,567,804,747,356,
261,418,383,887,400,196,021,526,358,918,639,024,075,340,500,391,852,510,898,
808,250,894,659,125,593,839,422,342,384,985,883,652,258,716,732,512,364,012,
341,402,181,037,020,301,593,075,977,292,163,687,036,122,212,420,690,234,295,
522,643,795,482,977,080,913,847,662,848,252,871,765,992,848,225,914,027,509,
618,041,773,259,338,950,199,794,044,410,781,746,114,587,310,859,932,663,058,
767,150,895,700,707,551,734,649,853,098,634,554,298,086,535,828,578,878,703,
617,596,539,951,029,242,409,624,513,644,745,190,747,000,712,331,726,786,116,
169,187,940,733,232,114,558,100,908,831,730,485,712,840,284,169,230,289,123,
959,626,030,969,331,308,427,367,820,578,097,414,302,324,786,834,925,209,952,
687,731,751,992,603,050,267,876,463,798,637,505,645,322,901,035,097,312,141,
252,472,918,512,839,930,528,937,626,166,391,712,234,109,887,061,201,126,062,
231,777,900,368,848,624,619,076,587,123,676,738,728,484,332,559,236,158,259,
368,909,897,843,489,267,107,286,790,270,240,806,261,271,034,857,720,000,498,
145,785,996,045,400,443,147,176,589,342,912,041,683,476,089,865,356,927,151,
594,769,221,840,447,223,404,177,926,061,220,361,636,842,843,997,082,462,938,
226,770,122,475,864,449,251,854,241,296,964,329,255,839,994,377,599,980,251,
011,704,597,007,924,290,677,636,341,912,994,170,041,984,705,665,797,767,101,
936,882,875,321,948,772,147,174,142,264,700,767,218,815,123,751,342,186,960,
322,198,418,247,427,201,355,000,352,118,582,606,509,325,850,230,274,480,916,
680,215,115,466,391,941,456,658,272,210,335,008,649,527,332,042,761,469,504,
109,875,968,577,186,445,036,178,819,862,795,102,368,673,090,099,090,779,905,
393,584,176,974,845,796,431,627,434,187,607,111,727,700,356,342,031,740,341,
555,063,019,562,603,751,852,604,716,185,262,371,658,444,917,001,793,448,753,
658,940,783,395,846,410,358,681,048,136,055,587,209,276,866,765,660,943,726,
379,424,179,868,645,411,781,250,376,989,974,196,583,816,501,194,425,271,120,
763,642,065,479,340,717,962,793,572,999,084,964,116,153,322,608,823,652,569,
764,917,906,936,542,844,580,534,021,732,578,649,737,403,958,609,607,369,675,
929,843,830,353,562,754,639,636,654,454,158,200,517,806,150,677,433,678,041,
817,195,579,346,922,494,988,696,254,636,675,337,190,982,694,327,901,633,289,
255,671,123,044,092,231,637,736,593,389,213,717,993,218,561,388,370,997,450,
269,921,851,139,415,997,535,758,611,811,189,215,662,183,536,451,668,420,499,
537,460,292,000,448,657,165,567,584,201,330,495,237,417,076,229,739,706,013,
486,244,351,688,581,954,465,105,991,700,290,727,086,796,846,761,369,776,890,
031,104,433,474,404,772,906,896,740,886,882,300,689,112,453,459,457,900,972,
977,967,010,578,833,708,792,107,393,801,030,357,954,324,660,053,367,538,424,
220,296,706,887,987,909,590,928,526,256,220,012,168,242,032,172,375,099,263,
752,984,641,770,402,726,515,411,645,225,131,415,260,846,944,927,290,120,271,
091,273,476,859,440,413,727,112,393,947,549,428,346,374,887,893,151,769,871,
749,754,868,708,637,911,242,040,317,493,842,013,780,590,532,645,646,374,691,
139,022,152,128,204,233,192,938,736,955,659,355,516,453,567,615,339,871,047,
788,511,456,025,520,899,471,395,905,741,572,630,627,436,332,016,784,448,715,
835,100,965,540,022,669,359,129,267,963,503,144,486,493,736,847,662,989,014,
705,212,496,078,991,798,730,832,796,021,071,881,688,670,328,116,394,268,841,
068,345,757,782,283,685,770,170,139,873,585,853,433,699,401,243,036,006,214,
160,727,572,123,669,153,496,030,037,744,340,674,925,793,542,547,001,785,503,
182,127,000,224,996,937,520,748,439,795,033,729,897,149,097,016,141,731,453,
503,380,946,302,488,117,147,230,467,517,248,361,782,755,149,808,343,297,283,
573,068,648,540,626,041,948,254,061,713,885,502,285,060,471,843,499,263,668,
492,308,711,838,950,512,197,730,216,358,593,797,954,564,067,862,742,192,645,
331,416,485,920,501,839,054,034,004,894,802,349,326,725,804,019,890,838,294,
023,230,263,601,448,827,482,017,424,358,295,964,373,529,328,650,010,483,875,
540,911,498,445,769,459,701,315,701,209,052,050,602,276,124,125,475,515,869,
026,669,031,487,313,042,135,870,667,818,320,375,907,875,575,043,568,047,947,
828,173,875,290,799,409,143,064,773,459,016,337,369,667,500,048,362,189,157,
648,270,703,276,555,234,630,788,728,680,190,948,003,349,844,772,701,993,606,
992,611,370,855,716,282,410,838,589,491,844,549,669,756,436,459,967,989,541,
996,102,845,916,322,648,472,895,895,402,220,423,472,650,758,725,923,895,401,
897,486,397,635,119,987,633,935,667,935,240,519,976,097,758,717,770,035,769,
707,895,181,071,375,568,381,119,199,892,760,934,924,418,830,761,545,953,243,
223,716,829,414,357,995,434,502,153,239,479,925,606,071,925,988,480,565,310,
850,355,251,124,347,154,011,229,162,101,523,453,080,506,234,894,169,734,936,
788,927,626,326,049,245,061,693,681,364,458,020,027,099,313,953,410,808,537,
156,682,732,195,702,893,212,402,432,449,736,451,342,517,230,471,035,120,917,
987,155,557,975,391,759,377,889,502,040,432,870,369,895,366,019,452,393,713,
243,855,940,022,296,837,902,663,729,503,365,662,896,254,675,572,737,897,335,
136,031,495,073,911,821,052,340,558,250,815,569,316,218,506,370,307,188,317,
750,018,856,724,936,924,833,053,866,718,180,666,223,665,195,221,005,996,446,
219,985,665,244,060,208,417,558,541,403,502,222,018,965,634,724,941,558,812,
556,570,437,896,501,254,749,312,936,965,886,160,126,655,015,717,784,324,584,
421,260,698,909,923,911,691,347,371,944,829,799,733,960,290,902,116,482,499,
217,843,536,155,757,286,992,757,535,634,915,373,956,389,810,297,753,659,143,
510,552,793,315,819,455,620,905,012,037,941,358,457,697,801,204,434,283,294,
510,610,986,451,173,120,218,874,001,259,000,528,372,794,880,366,352,078,140,
346,511,335,944,568,245,810,109,844,279,282,956,746,711,903,269,193,121,139,
035,803,923,337,785,990,088,896,482,462,646,037,833,202,162,579,516,358,752,
499,856,709,791,797,399,674,943,804,962,491,908,321,343,367,322,716,154,716,
076,368,173,553,140,140,677,579,628,494,595,925,977,262,137,302,075,845,961,
978,293,671,264,027,144,696,461,180,001,849,123,978,331,419,769,165,154,439,
549,382,202,394,854,694,501,424,765,144,648,647,097,422,743,558,521,524,287,
657,396,774,020,812,158,040,914,015,544,517,518,498,498,828,140,977,276,598,
930,065,503,288,335,982,629,191,567,159,610,682,975,531,502,462,077,659,238,
593,374,353,425,106,692,681,877,977,556,833,836,267,599,990,875,936,290,535,
999,997,759,936,759,678,095,351,769,569,666,215,563,443,078,361,719,559,433,
009,878,781,240,003,653,377,782,777,065,288,078,139,544,583,759,033,756,531,
449,635,274,546,685,218,702,669,841,525,594,112,835,012,602,404,062,236,197,
047,431,986,008,232,479,419,289,094,317,617,707,364,267,856,001,028,531,325,
714,098,898,904,927,453,980,217,114,857,054,937,971,257,602,076,936,017,261,
846,908,059,984,039,052,201,367,293,713,814,688,131,800,182,321,430,172,592,
587,716,654,301,204,145,668,560,516,098,580,519,253,986,582,409,031,937,185,
218,075,123,563,691,542,359,471,942,475,237,633,323,292,697,117,942,828,269,
674,951,660,904,825,619,512,305,688,128,183,124,813,975,641,598,616,509,118,
765,864,017,350,110,855,654,569,310,128,837,744,741,281,296,101,358,726,155,
762,647,456,090,262,770,255,142,184,202,731,467,743,478,101,055,862,961,369,
405,515,782,597,805,349,920,125,486,406,210,725,072,870,332,374,375,398,068,
307,473,613,147,870,959,303,282,919,025,721,738,770,448,755,336,279,741,158,
705,582,272,387,381,851,985,269,761,808,079,365,485,371,650,269,697,841,251,
549,243,272,883,231,670,454,618,651,993,897,545,917,956,219,698,908,564,617,
201,759,581,406,462,035,046,522,008,351,984,211,911,233,955,050,521,161,255,
094,213,903,957,925,538,349,482,196,671,472,742,075,636,233,199,299,512,886,
911,298,948,364,112,018,911,281,973,757,620,903,191,779,353,434,483,945,800,
862,071,967,811,056,131,878,874,907,452,790,480,358,175,816,339,027,914,282,
332,897,657,440,781,715,115,025,648,343,186,229,741,854,970,203,808,372,347,
075,424,268,105,520,571,668,181,688,381,494,631,919,016,346,939,440,820,028,
077,933,439,217,312,570,761,181,283,237,672,539,714,314,013,267,338,567,881,
221,691,290,820,618,861,264,275,073,563,504,706,516,405,852,934,171,883,381,
022,239,893,301,072,336,603,356,638,517,805,063,602,435,335,226,919,672,272,
230,907,527,897,437,729,542,339,796,465,465,604,086,192,743,868,387,798,495,
184,749,334,481,191,959,046,427,736,691,423,446,864,074,511,358,574,586,780,
154,456,930,203,026,410,401,010,180,279,910,782,067,127,744,017,973,195,184,
929,659,612,234,010,192,017,962,880,089,410,320,958,366,897,272,680,389,493,
766,790,201,558,533,715,003,102,077,361,231,569,021,827,300,049,864,053,677,
640,826,158,633,507,012,537,245,905,096,740,179,790,997,300,501,530,196,633,
494,899,979,770,250,327,317,682,521,116,833,216,319,424,812,130,452,768,710,
009,901,437,427,138,436,971,857,798,114,152,347,742,668,568,811,771,319,610,
458,847,097,078,628,089,092,681,229,249,020,913,227,947,323,247,832,294,810,
381,593,339,614,126,199,067,884,078,593,028,118,893,718,769,114,239,599,587,
859,762,375,771,838,592,454,977,960,760,649,328,407,947,574,527,484,803,749,
222,485,456,693,079,883,010,778,870,280,094,912,326,862,498,720,959,685,913,
600,702,552,087,648,452,067,428,040,012,344,803,038,962,964,253,212,817,220,
812,852,420,168,376,537,694,709,188,999,308,471,473,933,651,657,055,744,061,
926,100,977,846,214,056,715,357,352,512,289,714,802,289,484,679,761,697,677,
982,804,744,872,569,821,361,443,121,100,453,710,245,040,939,592,717,126,916,
294,412,715,373,590,392,297,996,578,222,150,027,603,727,428,997,062,071,883,
074,756,981,064,087,506,911,094,701,414,037,335,114,044,323,655,587,564,578,
919,070,332,431,795,546,222,386,644,790,755,783,778,663,080,769,018,303,818,
399,734,654,397,029,204,535,004,428,251,465,285,956,817,272,627,970,789,148,
710,400,026,392,233,138,760,012,914,237,765,212,437,241,339,935,071,306,788,
833,889,074,968,273,056,975,040,079,273,822,282,466,738,917,958,807,923,934,
995,795,064,441,867,694,586,199,007,169,079,355,258,511,004,212,381,630,891,
002,271,965,421,514,426,353,499,098,841,892,219,165,492,670,822,873,984,458,
621,579,146,496,946,665,066,571,713,129,029,978,805,310,494,851,278,676,030,
645,312,850,988,911,188,912,914,887,875,604,252,643,740,707,473,534,250,570,
072,761,892,490,763,068,921,450,006,477,287,585,334,269,951,930,159,080,923,
617,156,632,954,852,310,397,591,957,144,250,214,823,073,686,209,079,902,810,
294,115,958,955,286,410,982,346,169,191,273,087,530,562,871,953,662,054,813,
611,910,484,487,074,429,492,716,369,047,700,173,581,838,742,393,679,963,102,
510,876,724,483,675,974,420,566,670,517,555,100,744,175,126,139,447,261,693,
591,790,361,383,587,660,249,597,851,568,676,048,219,622,868,571,313,097,730,
791,521,570,795,014,226,094,961,880,313,409,881,419,138,139,599,893,253,503,
691,685,074,965,584,116,394,121,902,045,124,031,099,746,592,710,827,484,385,
834,351,212,531,709,029,203,514,280,599,522,297,980,891,776,585,109,010,454,
298,710,118,459,861,806,857,902,496,898,484,954,120,223,312,089,364,924,839,
726,129,026,381,113,350,628,645,924,026,606,322,564,706,932,452,570,786,799,
948,395,558,262,001,698,126,879,259,730,711,952,573,791,102,838,897,632,632,
566,486,939,044,403,092,276,832,344,736,944,681,838,127,527,233,322,166,804,
649,614,575,404,309,900,611,188,409,901,251,140,900,453,587,792,524,426,494,
837,892,220,844,575,970,118,947,460,546,993,496,784,016,168,974,008,108,460,
413,551,361,906,831,391,296,291,678,545,913,181,737,120,380,100,479,661,794,
522,862,719,549,715,043,892,849,524,706,533,832,636,126,692,679,155,245,025,
644,343,492,378,028,611,462,688,870,726,032,821,907,297,901,412,167,142,734,
541,566,880,523,986,389,335,547,353,444,855,851,715,961,012,801,235,503,088,
047,634,649,685,781,208,230,139,751,571,771,702,126,856,236,995,370,873,735,
654,202,643,137,779,632,585,585,112,186,910,333,979,085,186,649,414,957,899,
841,519,742,425,025,821,429,373,848,485,088,050,888,100,377,292,611,070,416,
576,898,514,283,773,118,024,509,270,568,651,601,218,630,403,287,882,381,220,
291,981,135,555,152,588,236,416,880,395,230,055,386,738,883,097,566,283,280,
412,284,723,218,414,269,208,152,666,236,762,670,654,881,986,850,337,486,432,
863,315,935,267,810,550,492,829,805,860,201,478,964,358,638,755,378,631,954,
967,030,364,677,043,611,509,129,547,995,173,865,654,122,828,784,320,781,865,
421,427,413,419,719,039,233,680,044,056,516,289,093,184,078,797,958,561,877,
636,304,938,346,121,424,455,816,226,243,925,250,975,208,133,026,005,384,503,
053,210,803,196,914,607,411,054,573,678,468,902,908,239,433,462,601,710,470,
218,327,693,858,343,274,945,811,131,227,637,457,473,510,964,846,193,832,160,
005,541,174,702,604,374,629,269,233,816,269,084,129,220,348,110,034,357,735,
575,367,871,546,341,042,454,970,228,838,748,812,015,521,652,266,375,075,328,
262,730,511,670,939,740,458,099,434,984,569,812,183,442,541,268,196,665,892,
524,796,881,543,190,062,776,581,013,005,203,403,509,686,813,798,229,980,863,
475,327,516,156,676,013,806,232,304,076,403,022,204,736,594,554,334,332,927,
397,023,300,307,114,782,617,288,296,940,638,180,544,923,261,157,482,312,408,
847,117,734,973,366,481,459,769,118,118,931,572,017,076,329,818,841,178,246,
052,030,431,729,000,565,589,046,066,167,193,303,199,497,157,852,784,973,683,
001,794,773,375,876,668,044,546,948,217,387,520,736,117,592,869,138,944,977,
768,923,507,333,432,374,477,260,178,378,977,650,030,296,041,087,369,663,038,
561,642,169,006,942,731,123,593,664,292,848,811,194,253,795,615,742,988,177,
117,335,408,770,342,911,253,150,363,110,694,820,435,434,866,682,100,752,870,
927,842,945,091,748,736,973,642,379,065,109,096,512,677,508,834,855,004,480,
341,652,960,811,348,039,925,079,572,304,656,004,294,633,972,876,655,500,008,
625,993,789,735,383,708,568,953,898,815,493,375,435,159,705,496,560,219,926,
088,941,227,152,175,375,431,450,966,891,058,318,843,358,876,575,951,899,618,
328,363,596,713,468,624,770,242,005,606,855,448,168,748,593,197,709,995,796,
456,511,660,643,860,203,139,266,212,552,631,364,035,822,727,273,014,371,023,
696,619,125,472,817,607,525,158,043,062,147,287,933,746,091,726,381,823,372,
695,004,910,322,247,176,340,751,158,426,964,388,265,347,655,718,937,581,143,
164,236,092,673,428,272,522,354,219,825,729,212,510,218,171,696,929,628,162,
232,753,994,289,006,685,735,744,525,695,577,828,278,028,088,814,251,593,543,
466,970,218,064,935,491,186,789,349,544,694,377,485,549,419,104,920,271,400,
024,281,467,512,708,350,710,285,669,032,820,616,974,124,626,543,706,334,404,
736,345,937,210,854,047,621,159,788,974,474,199,173,091,059,369,212,668,569,
663,359,398,172,666,469,123,844,916,388,107,149,322,804,109,546,433,069,092,
353,953,510,105,925,045,544,653,143,414,160,055,512,129,742,997,224,977,576,
495,947,399,296,836,405,253,804,700,670,464,430,674,054,481,553,088,004,973,
879,700,927,458,000,393,504,062,836,628,732,562,934,110,899,528,434,321,994,
966,911,243,925,258,519,027,914,766,694,047,882,247,748,095,317,039,084,521,
400,394,013,520,900,347,617,726,243,462,607,459,382,391,463,180,031,252,484,
025,990,875,252,139,692,494,470,557,232,832,179,800,598,497,418,200,083,318,
935,956,367,958,106,207,296,173,344,960,943,979,959,872,636,496,323,065,610,
895,272,116,052,622,772,768,776,269,223,812,588,804,938,019,640,236,174,942,
107,706,540,823,966,331,676,097,630,314,232,897,401,958,037,633,614,254,230,
904,994,611,216,148,906,105,793,281,414,651,285,034,963,839,494,938,467,392,
051,183,657,952,202,561,296,695,483,452,460,913,962,347,406,444,823,927,039,
214,772,704,026,378,552,079,232,793,905,771,003,954,608,652,710,794,134,693,
348,173,740,872,565,404,706,363,190,313,366,528,988,843,414,846,279,708,957,
476,854,710,880,194,845,402,468,626,590,057,018,062,084,806,955,132,411,130,
053,732,093,219,819,808,720,858,107,970,327,923,196,266,207,180,749,692,798,
569,490,751,964,188,208,345,398,840,799,124,592,107,934,752,939,698,923,928,
789,698,422,093,463,420,228,016,485,237,974,451,361,506,039,235,644,677,072,
139,109,622,064,815,245,557,376,159,397,932,408,824,900,012,508,034,455,625,
186,831,200,036,643,898,633,555,754,163,415,512,251,254,851,209,694,570,040,
018,851,643,688,907,238,146,117,560,795,581,800,649,069,390,156,316,613,295,
408,489,949,609,031,888,649,490,517,389,117,374,619,094,630,007,968,829,334,
467,060,531,554,652,575,604,458,172,972,169,162,345,558,151,810,669,419,961,
850,376,497,670,327,894,523,852,336,093,307,940,889,338,230,398,041,830,182,
553,901,250,672,325,706,491,953,694,570,218,835,156,187,283,149,206,592,778,
029,493,391,766,674,959,034,301,020,589,106,707,887,403,248,958,780,214,156,
961,081,807,613,061,290,866,729,826,903,438,564,651,922,182,958,800,963,329,
785,486,651,014,243,153,007,940,309,037,834,855,950,033,287,217,992,621,327,
124,478,427,831,654,892,760,081,734,787,128,010,151,308,129,884,126,322,011,
219,553,355,686,909,315,176,116,211,561,863,346,198,579,908,874,909,661,872,
969,659,115,940,621,583,210,051,029,432,279,021,356,116,799,642,642,266,713,
388,482,275,292,413,586,704,828,695,207,410,756,705,095,656,420,772,241,659,
547,624,632,750,240,235,545,826,171,310,906,864,575,947,758,910,602,332,651,
084,925,210,549,928,487,658,182,233,963,439,138,709,611,799,880,446,392,554,
760,581,533,223,051,842,570,962,218,117,954,241,941,597,509,946,647,965,252,
881,222,300,960,366,846,301,905,231,763,584,697,489,946,406,560,195,799,677,
988,768,527,237,222,099,675,865,713,817,621,731,355,439,884,395,695,274,308,
133,397,702,621,411,146,321,045,512,801,227,773,636,768,908,994,838,820,995,
365,253,531,417,618,458,115,879,552,081,068,977,607,413,609,800,873,799,331,
308,750,056,041,694,062,743,234,559,716,148,590,977,504,730,393,112,396,528,
545,284,611,816,775,828,853,883,942,465,780,476,805,798,091,350,160,600,298,
806,602,447,644,471,094,791,238,605,753,614,783,332,577,247,910,256,561,554,
318,082,825,740,798,826,393,952,190,709,750,143,891,183,015,401,555,368,475,
262,194,917,083,979,752,608,456,544,610,003,406,025,861,952,194,881,604,478,
234,078,029,040,667,927,216,608,650,432,035,180,879,927,716,115,530,728,904,
104,531,638,466,667,603,845,347,175,582,206,299,437,081,215,914,601,679,443,
185,296,817,218,079,272,891,436,476,275,812,153,846,904,445,672,374,892,800,
739,551,618,197,797,136,567,585,497,126,881,015,098,763,658,968,209,997,687,
673,145,366,773,228,103,781,266,840,227,975,549,823,625,354,134,956,521,801,
057,705,778,135,840,466,777,669,110,222,803,733,856,399,076,390,175,283,764,
850,292,903,209,205,876,376,920,285,429,181,315,537,328,322,738,380,185,794,
355,840,047,689,818,998,619,439,830,209,033,510,556,209,596,687,608,926,251,
252,927,650,698,969,728,691,407,464,468,104,486,303,930,220,178,980,208,198,
295,666,739,401,625,281,714,149,302,873,765,124,648,469,257,439,041,720,870,
179,563,454,944,109,155,425,300,482,952,763,260,868,262,353,253,868,579,728,
460,197,414,901,419,965,686,870,305,004,897,647,307,524,251,612,704,164,789,
900,962,195,942,857,195,973,019,617,209,942,900,103,147,411,647,821,386,999,
110,228,076,787,308,448,779,817,455,579,360,371,862,138,106,025,779,255,203,
644,838,080,899,835,116,421,129,429,662,816,549,153,274,192,276,910,497,321,
154,773,792,372,770,418,757,747,917,525,144,739,946,385,875,413,272,946,382,
555,588,037,068,273,958,689,664,100,365,808,991,239,513,609,206,099,897,111,
008,769,640,878,907,315,264,208,054,898,456,826,054,484,979,465,546,633,742,
611,617,534,032,000,305,198,069,287,751,365,540,665,093,102,015,130,415,114,
395,686,231,889,569,990,835,256,905,073,214,122,656,544,875,747,469,434,198,
251,071,633,974,770,405,212,639,111,533,170,878,071,162,720,425,919,348,265,
191,034,422,339,206,489,902,948,236,355,131,226,770,786,358,014,221,417,514,
959,982,124,495,192,945,718,520,678,813,091,054,906,220,995,965,344,426,482,
460,701,681,654,675,933,028,183,468,878,006,750,340,249,564,107,545,619,310,
931,547,484,825,785,686,304,072,279,734,788,689,046,223,472,494,268,928,856,
214,884,177,180,981,315,861,991,691,264,194,833,098,549,468,644,195,267,867,
024,632,602,332,844,261,470,935,830,429,196,307,604,282,849,916,669,127,887,
684,378,545,731,781,277,315,439,138,976,948,128,300,643,991,418,099,662,078,
655,945,974,952,439,281,142,524,205,436,271,318,428,177,368,152,635,220,523,
691,738,769,535,398,937,492,594,228,972,472,370,057,183,661,126,919,141,988,
106,652,499,730,939,501,541,224,425,179,174,143,791,719,575,018,897,587,486,
134,976,724,118,963,987,462,246,032,088,856,201,422,261,162,981,571,969,100,
073,772,386,316,734,761,912,655,728,065,925,785,377,389,982,515,231,870,856,
981,849,627,783,695,235,779,769,244,985,688,689,548,278,179,934,097,163,134,
548,132,360,003,617,758,501,788,339,178,910,812,541,966,331,701,245,151,069,
579,381,985,088,161,351,430,146,209,484,749,413,394,733,349,651,140,149,915,
766,683,636,193,511,559,683,149,324,449,500,230,580,758,133,256,234,848,633,
839,664,868,028,413,858,106,197,242,270,271,659,752,329,322,884,557,417,938,
563,885,299,877,881,693,228,228,917,249,430,905,273,514,145,401,088,906,723,
826,246,205,154,028,209,395,508,206,268,575,712,002,311,748,137,150,583,896,
171,418,162,610,918,571,895,549,292,544,304,220,875,528,668,016,261,673,924,
385,029,213,848,813,083,368,553,246,734,725,178,686,353,674,168,130,400,793,
595,901,460,666,681,482,447,836,717,817,077,816,855,210,768,646,743,898,290,
870,245,478,987,774,699,966,149,516,701,834,468,960,978,472,794,946,661,082,
673,931,837,054,983,056,291,054,226,714,321,313,393,277,535,513,159,384,456,
847,820,438,049,784,815,777,662,630,941,387,061,576,847,719,571,698,066,247,
790,331,974,402,632,105,091,887,538,451,070,962,692,201,403,297,861,380,763,
451,877,556,494,301,106,251,054,979,813,716,482,351,680,974,469,819,336,229,
373,303,871,613,382,555,661,225,209,527,334,954,379,867,761,410,830,533,016,
810,404,437,337,942,733,007,986,055,609,981,858,292,750,019,155,174,142,869,
673,902,813,221,484,822,200,018,207,850,416,811,217,822,299,099,751,801,903,
718,987,776,364,914,336,210,290,794,620,227,721,508,485,641,867,665,536,132,
719,860,868,508,739,771,797,769,975,044,260,406,154,373,073,466,189,783,920,
307,154,968,039,704,733,806,935,258,913,729,337,080,576,676,564,371,280,515,
509,042,485,436,413,884,114,075,712,369,479,413,721,827,195,360,796,628,526,
656,665,636,229,373,399,555,261,315,268,681,121,761,959,332,187,537,260,347,
371,738,172,596,080,161,155,509,428,564,521,895,047,139,228,904,978,847,197,
440,857,056,689,724,968,241,990,662,270,644,248,245,305,594,153,991,382,260,
889,267,485,984,614,475,358,753,804,186,514,896,679,025,334,573,654,958,265,
446,940,966,974,493,153,517,168,084,105,843,242,751,933,010,216,101,717,369,
481,942,098,591,823,673,067,743,665,858,577,219,880,411,036,450,563,728,473,
836,509,139,485,777,108,432,722,963,959,277,309,057,448,386,666,887,539,490,
026,216,030,686,626,144,013,421,184,315,385,605,423,013,954,599,740,140,262,
184,662,887,482,497,014,647,365,825,681,322,202,580,960,465,088,408,027,285,
135,783,062,440,595,625,174,544,538,494,308,910,301,079,694,990,597,583,521,
065,016,124,272,964,557,438,306,319,264,275,085,110,670,666,320,890,357,549,
833,888,877,558,457,269,228,252,708,384,865,194,209,429,352,293,453,437,095,
252,698,604,742,019,217,553,897,763,588,612,978,482,612,809,596,073,719,172,
252,208,762,598,616,460,766,270,783,137,259,323,011,732,376,188,706,517,343,
257,386,568,585,183,459,282,837,505,367,629,543,305,984,996,854,620,330,506,
738,831,494,247,170,832,622,414,345,603,942,029,220,221,624,534,071,776,612,
872,932,995,957,628,135,302,506,688,228,247,241,138,999,306,240,778,963,416,
319,188,075,743,046,348,843,101,483,391,690,020,220,006,189,935,696,874,866,
003,387,463,775,561,301,028,506,464,949,843,999,371,492,835,452,983,632,525,
256,135,631,516,956,549,295,310,670,129,605,125,938,336,211,566,877,756,589,
056,153,618,295,032,899,794,978,371,607,313,396,309,317,765,821,748,381,477,
833,152,912,158,544,192,703,906,308,256,797,995,593,816,629,219,011,800,513,
847,356,203,927,410,399,034,993,353,284,570,201,734,469,546,888,384,648,818,
061,216,192,230,976,101,263,574,432,176,956,918,204,171,344,778,233,436,353,
320,653,176,836,257,816,712,846,523,845,830,679,412,279,940,093,545,390,211,
346,559,702,719,513,755,901,600,591,016,609,180,113,317,766,381,033,241,867,
160,473,911,649,960,320,447,286,068,999,366,153,592,287,350,013,585,417,984,
440,977,180,136,263,453,631,622,183,917,358,103,668,366,254,935,330,491,584,
960,555,715,742,423,417,884,784,954,667,390,949,312,269,831,469,550,982,570,
503,367,202,580,535,371,972,752,415,279,731,981,874,386,777,909,332,835,246,
284,496,620,636,960,551,583,043,556,462,402,700,578,054,733,719,551,312,562,
356,499,679,038,214,847,810,014,460,579,543,375,536,887,904,811,845,773,924,
568,677,251,140,807,923,852,178,837,402,150,564,483,958,988,128,849,652,931,
563,170,500,321,498,753,486,077,565,040,534,186,322,909,851,772,066,179,646,
298,555,766,975,169,269,044,597,725,923,718,787,554,637,606,929,304,686,444,
221,272,890,817,585,472,215,994,820,230,314,565,031,052,092,808,417,914,607,
885,718,976,642,000,349,303,725,799,317,991,512,326,276,977,542,816,472,880,
167,517,829,146,711,476,870,167,247,713,568,873,285,032,835,140,885,543,819,
911,020,170,657,056,676,212,666,985,213,816,510,931,613,225,370,670,134,736,
482,561,941,294,394,429,763,116,474,882,449,516,676,923,609,978,057,281,044,
505,314,901,799,122,669,424,786,961,480,575,125,983,762,454,878,783,791,795,
658,878,918,766,250,322,646,657,876,199,278,256,862,590,771,303,259,477,870,
833,330,530,802,613,410,408,264,941,778,999,926,617,186,808,788,495,304,342,
477,087,576,215,565,295,632,491,803,006,666,769,797,993,057,067,302,484,471,
327,354,407,356,182,981,884,279,024,019,223,232,540,435,025,968,422,885,690,
366,311,922,728,919,484,089,701,655,361,709,756,737,811,540,384,261,720,182,
217,028,731,899,147,043,614,898,360,625,319,552,841,640,691,896,308,001,393,
828,054,379,700,998,231,396,079,370,023,268,226,217,683,486,877,858,992,556,
495,073,400,812,862,804,032,485,155,708,915,000,286,033,727,051,148,857,150,
287,850,612,311,089,526,711,331,107,456,825,928,700,023,041,186,678,258,663,
214,311,112,447,816,808,302,084,513,346,687,537,477,947,735,203,420,904,188,
611,808,936,337,828,395,635,211,422,365,022,844,498,360,727,853,520,624,831,
270,039,634,422,243,684,548,751,010,931,245,621,137,136,590,422,306,186,094,
192,583,748,733,759,264,208,390,670,213,081,011,535,396,212,031,100,555,501,
519,739,202,542,585,800,411,599,231,034,621,109,485,202,489,295,672,237,403,
587,186,966,365,551,728,577,412,423,785,999,753,293,418,206,090,519,693,757,
100,298,007,055,810,192,975,545,588,456,684,096,118,265,330,763,191,081,485,
303,247,606,736,464,223,509,061,764,973,999,947,550,831,467,333,998,887,915,
601,344,469,007,050,187,585,465,951,807,163,777,166,109,975,275,228,113,571,
864,351,888,189,074,491,343,463,439,101,555,875,657,668,012,006,632,879,328,
311,569,328,982,960,336,799,073,285,561,613,920,151,637,986,630,383,768,275,
687,624,685,834,120,965,237,080,358,360,930,381,809,984,326,560,564,972,711,
550,952,822,469,497,583,448,286,575,686,920,070,889,162,340,677,887,143,066,
551,213,070,256,121,110,410,023,914,470,765,258,606,269,354,865,205,284,084,
534,342,703,024,202,592,442,189,176,758,806,579,585,635,623,842,968,247,257,
893,139,804,659,704,555,248,878,430,391,844,406,957,505,540,496,163,479,909,
874,713,200,774,725,970,543,675,225,263,523,665,420,936,801,304,613,854,236,
364,156,227,931,095,726,925,063,492,081,301,868,270,196,683,176,962,844,659,
232,691,221,925,353,360,080,177,104,969,221,046,297,762,058,744,093,012,900,
886,312,414,165,205,704,969,173,236,272,634,219,475,255,058,792,445,826,926,
306,663,179,513,771,269,467,764,126,041,390,472,157,072,218,823,638,564,815,
352,474,994,542,015,615,584,980,822,840,180,484,760,049,188,952,786,406,284,
068,338,700,794,194,026,045,627,744,506,334,612,424,518,763,183,323,138,592,
995,522,795,264,591,155,519,266,865,352,623,401,301,484,648,085,867,927,459,
505,536,871,375,007,730,065,610,795,696,404,277,725,766,245,577,249,511,013,
544,226,582,807,043,531,019,147,080,384,303,803,335,508,861,548,900,862,738,
666,662,017,419,321,930,414,519,931,421,691,075,733,345,663,869,472,668,228,
864,940,929,772,307,021,648,638,183,492,299,579,235,133,403,432,005,816,825,
640,783,290,079,561,793,971,396,596,066,405,042,506,745,074,243,453,133,467,
977,453,208,920,433,508,173,737,545,758,346,895,135,950,578,921,274,824,318,
563,541,346,495,250,112,303,033,790,853,844,559,406,175,265,658,421,057,893,
756,501,308,690,067,893,525,438,390,190,736,066,747,613,418,860,916,448,861,
414,179,941,542,266,637,300,849,576,502,751,676,245,099,606,749,432,594,518,
265,479,946,470,589,689,994,333,561,989,639,621,339,560,181,806,018,036,766,
381,245,859,979,672,556,271,381,156,530,025,740,655,377,901,195,519,484,907,
264,072,847,892,263,216,638,812,291,929,439,708,645,284,224,057,973,220,914,
248,613,987,269,311,900,245,995,136,902,454,901,229,848,190,991,069,448,206,
614,535,754,621,123,881,994,976,900,505,671,128,383,701,640,521,838,240,773,
059,262,765,694,326,161,327,954,267,238,383,093,314,131,037,661,474,519,871,
735,536,998,954,553,275,062,420,600,846,713,773,203,012,913,214,804,103,089,
537,082,720,882,516,333,725,469,317,027,989,479,070,010,949,343,827,343,112,
455,337,397,648,129,222,367,320,167,358,450,659,480,512,148,866,955,912,143,
971,831,995,425,338,362,950,730,049,868,177,865,210,853,239,056,210,770,898,
946,251,014,748,199,720,608,949,765,657,604,103,502,056,650,961,042,793,364,
619,292,246,261,958,317,896,315,044,450,883,954,331,052,907,605,998,831,020,
552,353,305,277,696,280,586,877,655,638,643,806,950,107,024,585,190,524,940,
171,528,506,466,640,241,956,816,298,184,626,357,448,154,442,131,335,375,929,
206,390,175,855,912,326,866,452,966,498,607,560,919,465,067,592,563,012,964,
812,678,624,259,582,704,425,637,474,925,695,727,161,314,391,645,268,647,952,
913,646,805,593,821,882,465,214,745,096,018,558,142,353,221,158,088,369,427,
979,422,110,659,763,944,490,681,944,066,636,434,361,075,241,940,429,656,097,
491,368,099,279,965,985,221,204,128,632,562,324,678,116,949,834,705,255,609,
824,339,184,566,437,260,612,363,054,280,769,982,514,870,535,165,410,815,886,
236,152,039,211,899,440,285,828,070,224,670,090,189,582,382,160,413,523,093,
287,949,028,757,808,498,229,054,561,275,894,979,859,046,241,582,207,338,319,
536,832,245,943,905,537,697,033,144,724,440,523,873,869,148,288,888,674,336,
190,776,578,010,886,181,934,784,780,657,188,334,141,630,822,029,787,853,438,
915,331,459,748,429,563,208,724,922,340,122,092,630,850,416,042,311,885,280,
543,204,156,224,098,609,412,112,812,813,048,104,715,100,355,373,476,269,129,
747,275,247,931,422,525,000,971,120,951,100,072,107,540,639,964,548,847,390,
768,183,888,995,072,987,728,778,183,773,723,887,728,573,317,789,007,532,980,
143,249,016,296,970,982,920,518,830,224,441,596,232,648,057,197,377,709,453,
982,017,646,320,081,849,385,501,109,852,914,121,363,610,676,750,748,725,283,
935,960,114,477,974,685,026,872,438,865,779,996,984,745,205,812,250,006,348,
435,260,227,959,511,974,993,950,970,491,780,018,858,112,021,858,887,629,024,
003,558,997,066,574,470,568,968,886,450,055,970,141,592,224,797,506,001,086,
717,326,427,777,979,750,447,742,751,777,082,154,609,181,713,694,004,747,012,
061,287,222,580,172,784,974,828,755,672,493,352,298,299,544,036,254,647,923,
706,553,695,244,360,051,185,090,798,060,814,498,476,841,967,369,169,517,623,
408,193,789,187,043,717,841,856,552,980,757,632,156,277,670,887,795,706,330,
666,038,818,088,987,929,597,176,627,794,838,202,249,326,744,497,398,061,100,
358,191,041,787,025,157,944,986,673,073,166,028,580,064,203,588,489,619,805,
921,655,557,264,219,610,667,087,086,003,545,742,111,858,635,230,324,448,843,
345,861,170,505,988,401,432,616,926,874,026,323,500,874,250,696,874,147,284,
681,474,530,203,698,460,773,142,788,299,205,616,817,574,860,120,343,641,838,
785,148,073,848,762,046,160,584,155,366,531,075,088,932,321,017,169,872,659,
517,431,031,606,206,602,583,398,766,044,626,524,684,062,681,120,806,675,009,
878,403,238,332,385,542,005,748,441,794,154,422,673,824,473,663,290,125,888,
998,810,516,996,428,049,408,187,710,051,872,673,881,402,976,458,972,666,822,
092,209,090,545,078,347,637,334,583,631,788,029,333,801,783,157,522,716,564,
540,745,508,604,431,826,172,519,500,222,348,305,167,035,448,465,991,477,057,
089,334,232,987,745,800,845,640,290,020,157,017,046,612,944,139,521,818,237,
341,799,560,948,164,856,587,702,046,595,587,309,850,732,198,413,473,503,026,
588,188,074,640,557,107,993,689,952,091,948,285,177,963,927,331,534,290,832,
935,070,503,929,503,311,820,588,487,552,655,080,214,122,037,357,467,859,956,
127,733,159,618,272,420,106,068,001,899,959,814,321,744,868,060,443,433,221,
821,076,049,669,872,060,124,361,740,260,384,812,123,852,227,875,296,809,105,
223,221,481,346,522,821,857,943,918,701,893,494,101,097,149,249,314,223,538,
865,390,637,821,787,896,270,865,944,605,003,535,749,692,583,675,098,818,928,
019,921,215,307,741,498,615,548,486,107,188,742,331,416,491,640,703,893,483,
824,103,147,210,148,323,058,733,688,662,026,533,772,736,031,013,383,566,825,
416,236,005,363,545,631,344,976,543,829,425,572,507,682,485,664,372,549,588,
607,989,294,201,785,762,135,903,607,626,026,113,419,398,585,802,106,717,884,
554,470,119,100,290,520,491,985,401,276,366,514,370,156,121,028,176,891,655,
424,423,295,553,937,925,283,919,448,234,735,911,063,845,602,680,933,550,235,
522,483,148,596,983,091,098,285,893,118,413,370,178,815,483,068,825,068,102,
912,308,504,728,254,646,202,769,306,031,540,091,077,405,872,355,265,284,369,
772,321,886,321,675,226,429,925,253,470,995,041,053,171,530,778,005,124,333,
967,202,468,810,968,753,001,456,263,780,176,453,046,795,093,217,616,555,764,
418,211,018,096,317,422,159,062,281,573,947,668,612,232,874,059,376,773,691,
092,184,295,763,538,565,795,033,920,975,408,615,721,148,600,769,828,223,280,
096,970,625,385,192,039,956,864,932,733,343,820,347,778,366,045,838,783,571,
780,684,983,230,767,328,803,477,780,963,937,296,850,599,675,296,031,558,266,
905,351,332,447,409,385,613,061,885,455,206,724,368,937,360,799,923,278,191,
838,486,768,727,382,137,025,738,585,917,493,947,292,926,283,237,937,666,679,
142,239,996,486,750,862,610,291,255,344,625,998,363,543,527,933,819,843,724,
130,364,669,023,022,772,157,626,842,141,885,965,104,296,412,119,512,854,412,
027,857,900,013,541,498,551,434,326,327,223,071,484,406,848,483,906,004,186,
693,190,093,078,275,969,959,725,261,463,655,351,628,167,004,515,357,392,484,
356,993,164,702,682,401,611,624,564,675,466,430,633,394,004,433,572,870,314,
235,923,388,362,346,099,141,254,380,970,737,663,586,726,554,250,648,233,546,
761,959,407,625,120,074,993,702,153,236,655,873,920,668,339,364,437,403,240,
041,052,757,452,840,857,705,031,753,649,426,671,141,713,732,554,280,138,106,
102,320,577,441,271,388,424,565,242,408,950,053,045,817,524,248,855,332,413,
132,267,769,966,243,556,632,216,316,845,028,343,444,712,146,004,598,226,666,
942,611,265,312,811,834,332,442,922,733,970,890,313,590,327,752,774,069,473,
310,424,357,786,930,409,435,208,549,231,370,952,727,187,344,290,653,156,595,
576,764,195,140,647,382,369,680,658,491,605,595,563,870,563,885,511,180,069,
489,015,030,596,192,847,801,817,709,613,742,165,740,108,542,350,396,287,901,
315,732,340,465,240,987,531,662,846,840,425,904,823,476,101,892,928,791,387,
571,782,961,569,891,917,872,286,032,972,158,140,349,679,710,256,793,069,106,
314,015,395,897,080,509,860,572,054,092,357,667,473,141,784,456,728,194,622,
826,227,398,248,525,416,775,077,910,317,362,916,478,511,152,391,959,759,925,
850,629,888,891,945,465,757,063,622,548,234,821,082,825,255,804,168,876,854,
677,701,528,085,722,399,699,879,897,824,033,845,100,570,244,194,791,757,673,
391,004,313,616,194,240,102,301,564,625,300,261,299,362,025,567,447,984,627,
481,349,812,723,662,702,459,168,507,483,496,242,217,965,060,388,973,113,983,
712,720,109,738,448,789,762,722,705,240,180,997,773,322,771,404,680,607,479,
504,483,397,211,257,931,919,668,123,869,973,780,596,062,793,900,332,510,278,
240,402,073,472,324,651,953,638,462,657,694,315,170,682,527,658,665,386,943,
239,071,471,436,484,185,557,987,291,114,651,850,137,751,712,315,580,318,549,
663,995,959,478,092,642,376,910,007,076,250,262,160,208,604,672,264,861,554,
948,756,273,840,158,329,012,580,268,891,289,015,076,515,915,487,387,620,189,
950,493,641,781,804,314,772,240,659,039,847,355,578,698,005,776,621,332,416,
918,847,262,624,608,373,724,125,447,048,362,380,494,881,004,483,070,652,755,
936,112,593,171,977,245,614,500,474,739,080,226,556,460,513,075,856,967,385,
491,458,460,203,880,566,514,039,847,726,539,954,728,007,062,999,069,860,712,
359,837,222,524,607,929,640,347,500,140,771,156,092,036,385,065,741,562,819,
898,542,206,062,185,577,243,703,714,354,352,587,417,104,955,697,140,197,912,
078,951,316,750,006,506,028,060,086,237,365,796,060,896,810,212,548,116,676,
526,380,172,512,712,735,363,629,663,985,929,184,908,426,089,088,078,484,972,
264,067,327,045,342,136,250,167,975,656,885,174,749,100,646,929,121,047,005,
841,314,753,850,464,944,011,401,400,334,994,615,732,084,099,745,160,024,727,
957,079,076,131,629,955,786,101,855,382,801,963,121,500,979,252,755,757,397,
918,575,008,490,765,657,488,365,045,818,507,242,346,646,602,646,167,646,815,
243,394,470,139,025,199,060,846,778,924,328,128,342,728,774,845,158,176,028,
084,905,970,260,345,286,728,975,579,470,278,397,986,037,918,505,743,101,859,
213,699,155,536,984,739,022,067,265,324,233,798,087,969,361,981,765,891,910,
379,602,619,795,358,359,973,755,439,114,818,848,800,404,828,176,584,824,538,
794,660,313,219,161,357,989,537,971,890,522,633,500,203,077,668,520,532,591,
009,192,981,549,754,881,493,308,871,074,836,893,778,653,892,222,510,998,957,
653,254,586,768,697,563,564,553,337,651,139,117,872,115,989,334,946,703,833,
807,147,520,661,043,048,587,649,427,254,362,913,138,397,440,724,119,107,070,
493,638,927,184,672,721,387,076,702,908,787,735,732,115,999,175,044,911,023,
611,391,858,798,756,436,663,941,629,238,146,423,433,688,220,927,439,311,377,
525,598,678,200,901,743,403,370,340,425,219,323,057,189,474,005,032,397,450,
936,109,132,074,143,247,719,396,609,673,570,461,893,391,585,604,365,446,688,
067,531,367,402,163,208,997,760,872,988,119,147,191,995,941,109,084,910,944,
374,812,187,286,151,422,784,120,985,403,034,668,161,155,985,435,418,492,446,
805,909,632,744,589,360,334,000,799,460,721,457,055,483,030,663,935,033,331,
499,805,224,666,773,435,919,033,872,017,535,241,341,722,844,229,512,105,679,
872,073,945,842,111,465,433,445,566,513,689,621,048,779,858,866,831,945,861,
382,983,477,830,521,135,391,608,671,242,070,214,635,131,800,153,220,336,259,
175,334,052,909,363,684,223,009,367,296,781,892,587,644,516,604,588,612,937,
068,818,097,290,300,907,710,501,967,764,520,052,202,577,736,816,495,089,831,
238,401,001,812,091,659,683,266,944,023,933,863,644,329,937,007,966,091,295,
783,442,748,321,293,420,224,153,304,850,777,789,864,730,948,939,682,923,208,
623,325,427,184,802,845,635,798,007,897,495,403,525,956,409,820,602,482,994,
358,794,359,379,135,435,972,491,324,592,196,408,058,835,392,908,044,536,369,
771,173,997,586,888,654,233,245,887,912,379,050,183,551,876,569,325,441,525,
108,133,350,527,693,826,150,230,909,908,357,197,925,725,962,784,682,058,465,
639,428,690,295,704,177,676,871,100,765,415,189,723,478,785,968,906,841,713,
372,648,216,283,223,657,746,393,097,481,819,785,824,186,718,784,913,806,236,
841,470,701,580,666,374,898,196,226,907,617,836,052,159,581,256,673,019,365,
427,004,119,459,311,120,069,555,715,057,940,165,371,711,066,723,992,082,805,
917,669,605,972,885,613,008,860,068,443,152,689,752,149,874,008,732,253,917,
577,843,152,730,627,384,876,130,206,294,936,317,424,131,531,788,994,319,369,
128,015,698,159,202,243,033,232,817,210,081,817,028,435,812,068,055,459,691,
654,938,659,195,149,343,627,379,447,764,222,809,199,342,857,480,167,192,342,
594,751,258,161,845,225,890,207,770,137,525,692,137,352,447,600,917,408,995,
031,230,045,824,388,211,372,366,764,733,068,050,596,184,730,550,742,214,539,
512,405,949,629,726,183,694,599,682,649,550,136,584,814,345,881,393,755,087,
917,793,794,738,136,233,128,288,962,801,010,592,334,724,048,074,861,400,206,
019,772,036,297,728,441,168,320,494,436,014,096,854,182,394,321,977,058,721,
405,115,058,116,887,683,807,295,721,740,356,030,935,081,040,277,792,812,863,
055,450,313,213,482,116,406,614,558,080,491,113,773,598,845,452,941,080,784,
280,891,458,769,143,631,326,570,958,889,854,742,662,987,764,486,538,624,183,
562,814,349,826,374,328,595,461,219,550,591,394,616,004,577,021,438,800,410,
552,391,187,142,960,487,426,587,148,334,831,703,536,282,152,723,674,107,273,
285,059,091,959,400,085,600,462,882,025,147,958,149,596,674,447,235,162,702,
517,219,191,834,884,452,923,771,640,352,153,827,985,530,511,592,854,210,546,
471,168,618,707,593,186,100,351,054,092,258,304,627,205,774,949,837,605,481,
888,155,040,892,014,436,304,559,443,143,722,349,635,231,315,455,774,318,460,
721,336,269,539,879,231,154,328,076,244,156,465,490,821,914,004,466,812,981,
375,048,815,109,475,327,047,986,205,515,993,710,821,925,322,540,555,815,713,
541,794,770,719,609,999,336,808,030,115,397,649,696,849,744,021,406,439,230,
311,412,568,666,398,180,844,962,242,105,193,346,824,566,082,428,638,101,163,
582,000,981,829,418,728,105,951,220,230,078,760,224,958,602,703,393,140,473,
612,131,375,235,121,634,536,995,842,517,178,164,599,392,781,115,135,815,259,
521,046,772,750,696,464,903,354,456,594,521,064,779,522,397,962,894,980,877,
245,020,985,279,922,116,154,773,954,290,413,446,270,827,998,643,888,968,126,
489,547,545,086,573,410,601,448,115,686,607,061,178,666,294,570,640,561,342,
101,494,997,418,130,714,124,609,951,991,048,822,679,736,072,962,316,006,757,
049,635,485,675,499,666,306,661,955,114,902,341,201,352,780,281,738,161,037,
880,788,862,000,905,867,596,241,614,787,153,964,141,819,999,384,849,719,355,
019,956,626,192,845,194,408,688,109,891,467,167,887,163,697,009,837,123,115,
515,567,654,621,050,023,251,936,777,477,112,717,840,293,536,375,751,050,158,
346,457,929,469,988,518,219,870,945,031,491,368,357,633,487,462,399,770,936,
555,255,949,260,749,966,315,119,767,101,813,021,528,521,569,070,462,877,876,
011,273,749,210,033,462,265,118,310,938,534,218,959,480,960,079,944,440,509,
222,088,820,834,936,521,013,202,306,286,398,361,606,233,744,143,941,792,618,
604,703,040,676,180,390,691,393,011,705,042,929,496,618,634,077,948,181,057,
786,454,435,763,748,779,067,235,397,690,902,786,086,075,956,733,226,906,489,
402,129,155,950,919,619,496,252,748,089,580,983,370,226,234,538,325,940,062,
547,734,295,865,590,395,797,215,779,651,120,220,328,650,478,370,543,526,608,
429,376,037,842,350,169,000,528,732,094,101,074,122,642,247,330,247,042,672,
621,991,707,623,812,380,075,995,028,179,721,547,665,945,997,544,061,788,307,
029,836,621,657,916,182,431,101,632,149,455,893,419,918,578,981,629,152,585,
766,001,814,302,604,703,906,140,794,149,389,101,613,342,638,941,227,814,154,
575,927,543,929,639,400,792,120,234,927,692,986,654,479,148,305,597,890,166,
682,704,203,775,187,561,175,848,250,299,127,591,209,866,651,245,941,726,014,
981,842,185,418,537,829,804,277,681,633,912,409,910,284,490,965,190,302,675,
087,947,400,926,920,809,819,299,131,935,811,122,604,038,639,863,601,902,544,
668,172,317,513,651,105,334,768,010,602,433,326,144,160,789,664,640,737,194,
849,251,009,469,455,492,850,905,755,170,421,559,761,740,254,799,588,465,944,
322,396,153,459,758,016,848,971,639,133,122,700,668,501,965,039,522,334,388,
878,915,522,894,872,951,289,546,187,631,920,035,816,745,037,661,197,894,908,
161,542,588,709,758,775,753,916,527,715,719,139,407,236,977,864,406,178,468,
252,213,654,847,467,019,780,486,523,905,195,572,424,443,618,344,949,225,293,
702,731,404,076,829,026,253,294,475,462,713,412,271,797,371,815,820,090,284,
065,401,079,555,061,712,022,165,228,676,460,641,799,105,543,344,005,051,803,
010,849,961,011,200,055,358,126,798,627,117,180,846,934,449,187,566,309,845,
161,689,819,561,871,188,426,115,600,547,869,673,189,512,359,025,352,894,082,
713,209,443,160,922,624,900,821,732,348,101,901,251,970,488,267,496,472,892,
216,570,892,921,203,337,604,906,946,834,482,150,490,668,610,737,110,499,814,
507,714,248,828,347,999,804,286,510,198,347,635,334,492,670,578,283,828,177,
547,602,452,426,935,667,341,804,483,453,427,381,241,252,190,022,116,378,842,
952,169,153,462,288,285,047,488,918,123,366,003,806,706,343,368,534,478,177,
498,834,667,603,097,043,758,860,102,906,115,161,796,420,691,489,579,466,073,
859,765,985,346,819,481,762,843,127,789,450,843,398,480,737,439,856,284,241,
351,628,925,104,545,078,658,707,098,329,034,565,263,499,949,542,652,225,283,
390,933,705,533,800,302,146,454,430,987,730,752,202,332,180,932,423,957,932,
230,536,254,840,868,648,505,870,777,552,647,629,005,394,700,491,541,734,479,
487,847,217,974,311,618,504,639,812,662,885,963,315,911,774,296,239,788,071,
140,800,288,692,931,117,302,106,862,108,932,404,149,853,942,384,510,414,452,
067,082,492,118,364,056,078,187,122,136,060,343,053,083,206,994,998,967,749,
171,560,824,844,374,980,206,985,267,275,319,745,915,620,205,184,919,972,706,
777,234,218,453,608,217,240,075,343,490,988,841,888,785,149,590,262,982,679,
958,109,471,560,636,052,273,630,074,123,412,508,224,804,544,877,855,405,314,
913,911,494,419,045,945,284,847,975,774,625,023,420,631,973,346,761,020,598,
337,625,330,157,733,868,980,299,246,506,186,489,156,690,432,399,721,277,722,
991,842,387,642,707,669,022,601,433,848,093,965,760,327,219,912,564,840,005,
566,259,935,466,578,371,962,937,911,349,215,392,681,817,862,365,156,078,173,
659,169,535,083,640,852,769,040,062,926,636,176,996,936,139,704,547,188,652,
863,493,831,439,077,186,212,038,108,608,512,129,882,648,130,666,171,668,801,
360,061,994,453,138,786,478,285,369,625,341,870,009,848,277,820,937,024,264,
276,815,077,041,862,926,219,085,801,240,163,928,905,605,301,157,167,798,081,
878,402,599,673,583,058,822,075,875,399,787,900,527,883,997,406,666,586,337,
172,524,714,379,435,688,041,937,745,039,636,001,419,825,292,235,620,872,240,
775,446,104,803,763,479,156,287,589,492,001,073,503,832,095,246,087,926,957,
619,399,170,137,586,289,714,136,673,285,402,658,646,085,349,618,721,901,668,
751,093,066,999,152,086,976,533,052,653,417,570,241,522,958,874,521,974,853,
282,422,441,317,088,960,743,906,720,960,638,939,014,905,866,222,541,546,740,
791,646,482,197,432,443,458,988,272,924,935,689,377,703,922,377,736,397,162,
622,964,998,098,344,060,093,161,697,874,709,804,647,645,570,856,516,178,694,
090,412,360,730,694,995,266,294,413,481,355,393,547,493,916,683,604,433,901,
875,661,625,431,683,288,077,625,332,713,218,811,997,405,496,206,483,097,911,
576,714,820,820,673,064,171,690,255,928,863,287,423,964,467,170,304,864,347,
517,123,518,550,524,079,799,836,545,870,582,005,032,771,822,760,034,190,167,
061,615,306,523,457,293,741,284,964,748,268,275,400,019,155,823,960,914,253,
070,454,301,247,679,499,436,183,258,341,119,539,745,335,680,714,591,898,688,
682,318,914,175,496,748,145,691,633,154,937,163,065,261,072,593,892,656,277,
034,948,501,714,389,141,353,805,609,298,853,857,221,294,717,238,855,665,423,
135,962,412,498,887,673,500,922,870,924,410,661,742,334,812,737,704,071,312,
935,664,604,464,395,033,831,189,322,408,042,591,158,734,462,137,042,893,269,
496,842,939,893,276,398,291,729,965,775,335,080,038,436,860,587,406,783,140,
417,925,554,649,029,280,659,484,807,386,456,777,789,333,853,643,052,796,132,
818,821,082,638,237,763,419,819,655,138,997,866,594,581,468,011,046,828,774,
239,987,746,571,457,635,861,452,192,114,782,720,014,086,574,788,671,014,214,
435,814,060,760,016,306,961,190,918,006,228,872,845,693,490,590,967,166,819,
624,119,695,565,651,676,274,175,712,364,504,057,705,219,568,180,663,787,231,
451,021,495,594,549,636,188,567,980,400,757,354,459,682,395,843,515,985,431,
821,208,318,062,821,876,122,535,405,007,098,053,600,015,158,162,715,164,004,
015,120,882,809,283,587,812,609,705,110,748,922,167,221,040,625,124,605,228,
383,774,845,489,006,107,550,456,376,590,963,603,028,274,943,257,967,970,449,
580,363,179,129,263,440,175,689,655,897,112,236,598,487,968,119,956,435,209,
072,961,109,862,193,532,128,880,365,247,135,633,323,044,736,117,726,709,057,
827,007,133,687,493,338,401,096,188,137,802,149,195,924,943,236,290,088,128,
653,911,848,443,311,362,690,570,125,968,850,687,904,759,971,481,005,586,134,
573,411,581,963,590,806,277,624,950,165,567,096,164,562,946,347,081,604,419,
111,304,532,119,287,452,650,187,370,719,312,625,790,564,606,119,640,327,434,
772,363,420,759,188,434,714,561,752,503,703,717,456,432,485,148,239,333,397,
096,717,432,832,487,994,765,806,100,630,030,322,384,483,776,638,115,380,463,
238,518,161,310,734,266,049,788,408,442,585,849,392,312,545,084,812,988,517,
166,350,878,440,843,740,839,295,480,920,772,937,690,705,171,359,137,641,418,
056,414,707,934,851,485,711,855,311,160,364,119,452,854,652,884,830,001,507,
548,939,761,022,074,918,361,868,596,448,062,772,566,625,978,967,640,076,737,
837,810,816,336,732,742,518,281,844,281,982,515,630,143,585,901,584,314,728,
474,823,440,167,245,252,034,378,039,372,145,485,066,806,247,444,932,800,367,
969,834,910,807,072,813,630,777,021,407,623,899,354,843,178,672,310,222,795,
943,382,209,795,388,931,029,489,554,432,679,449,530,178,970,711,883,491,412,
518,979,352,751,157,793,050,575,619,744,018,906,655,002,112,342,238,588,099,
868,883,891,730,276,717,729,439,727,902,182,655,175,243,538,941,606,015,775,
274,832,228,357,739,075,807,983,177,823,264,240,631,311,008,884,988,569,770,
209,892,911,022,904,398,251,898,110,121,929,602,132,068,410,281,215,499,546,
171,650,042,614,665,257,161,045,060,634,706,545,079,485,202,896,453,954,534,
254,773,250,155,229,897,380,351,645,521,799,741,142,851,360,328,722,051,444,
725,374,797,798,626,665,546,215,910,002,784,422,295,298,452,260,618,687,958,
402,047,984,607,606,082,587,836,518,222,311,890,961,321,421,618,724,726,011,
731,708,542,474,320,859,623,504,539,826,980,423,290,446,543,589,520,667,919,
086,183,853,208,934,341,839,691,821,131,755,839,694,475,853,746,811,879,224,
608,822,466,165,129,912,322,081,869,769,869,806,760,759,344,234,805,058,135,
110,564,923,657,244,056,780,099,351,007,804,903,033,363,382,480,127,455,317,
725,697,554,990,995,450,692,817,811,822,661,414,556,994,104,244,552,669,287,
257,525,391,276,633,339,572,489,598,199,274,024,898,530,929,742,454,299,600,
977,582,902,171,248,986,235,760,247,485,634,950,215,289,157,060,019,833,150,
975,361,272,738,139,951,421,843,550,370,960,969,686,832,975,004,338,253,990,
776,890,541,284,477,943,411,701,314,616,590,752,955,175,295,467,629,073,995,
660,358,644,337,131,005,702,040,229,020,024,324,046,076,052,017,198,051,581,
928,169,269,620,677,353,158,940,301,083,064,002,369,731,360,919,766,284,916,
004,105,358,566,211,924,655,571,180,545,145,038,647,623,230,292,369,680,158,
016,139,528,328,059,875,375,617,558,413,950,134,397,495,753,620,044,032,564,
664,498,232,502,084,882,090,912,289,775,052,831,249,935,633,968,629,395,517,
344,941,447,889,484,391,622,141,795,605,750,473,616,631,561,397,890,605,601,
649,830,251,629,166,773,569,381,099,328,160,446,338,938,577,513,680,802,777,
882,675,662,077,535,535,390,447,418,637,673,331,526,405,076,587,192,349,401,
056,055,228,082,393,908,392,506,906,618,933,040,461,472,104,662,733,586,341,
902,895,994,364,344,463,015,287,602,335,012,339,122,263,852,484,959,013,221,
916,373,379,083,287,058,792,760,721,334,439,110,708,091,867,212,052,785,793,
260,096,731,734,577,291,521,313,653,177,993,793,511,034,972,896,191,317,741,
825,719,041,518,527,995,291,234,535,834,832,181,115,801,711,036,807,585,639,
526,626,342,853,120,100,712,504,496,933,138,878,249,122,263,270,180,572,142,
492,745,748,596,392,498,826,851,806,219,230,611,387,002,747,901,201,318,061,
975,914,040,117,659,304,323,912,532,651,383,755,389,384,818,318,079,161,071,
789,934,368,727,957,545,656,252,202,530,475,625,826,448,451,972,815,564,338,
962,896,926,963,173,807,551,965,890,748,699,733,759,678,396,024,896,063,361,
518,420,158,839,517,463,548,904,797,366,477,867,014,138,868,553,353,643,448,
172,644,377,138,363,120,539,414,088,788,517,623,673,918,648,578,300,920,424,
675,076,595,132,429,705,219,714,062,208,800,847,622,420,785,032,982,832,768,
856,494,884,076,770,704,282,949,880,426,941,597,678,287,083,555,922,175,966,
403,180,636,690,673,659,910,524,192,574,602,790,559,757,712,458,390,978,862,
956,802,841,857,324,999,582,582,480,945,326,492,776,914,254,287,394,256,757,
024,438,500,574,521,358,080,084,715,682,381,982,879,295,421,910,847,839,499,
165,478,027,305,655,738,785,074,775,317,231,606,171,189,214,462,449,676,256,
115,838,468,688,948,499,957,865,609,836,720,699,239,821,608,446,233,425,567,
776,865,060,002,871,240,050,774,707,853,395,956,635,896,607,053,492,502,544,
612,721,383,928,145,822,971,252,217,387,720,988,178,768,968,891,730,976,414,
405,499,780,995,832,838,761,506,664,650,847,510,784,089,182,037,572,121,008,
928,505,256,132,004,650,047,055,710,389,724,470,625,066,681,451,193,678,681,
593,119,026,567,688,554,304,041,041,831,586,620,390,783,540,598,273,018,007,
063,593,303,055,440,056,465,897,793,029,754,319,922,156,644,220,826,796,531,
857,103,560,536,860,508,073,964,670,520,996,442,330,830,114,496,735,379,942,
297,033,765,672,879,823,373,777,714,055,488,291,072,432,983,943,054,667,600,
766,685,580,577,294,790,230,444,476,961,809,064,341,728,489,416,453,732,652,
122,525,188,976,147,468,022,684,297,338,105,907,055,896,925,065,013,379,828,
027,721,562,167,170,082,954,500,962,928,728,491,248,098,751,321,542,260,963,
444,349,741,313,381,615,907,161,598,627,050,202,304,520,105,948,686,541,527,
761,728,342,626,929,388,651,687,156,809,839,516,324,547,185,387,790,386,265,
190,166,706,125,289,786,302,900,218,908,702,809,006,245,360,284,405,512,995,
346,000,140,226,459,777,030,445,874,291,066,471,748,414,708,318,803,048,571,
264,224,069,318,293,293,918,025,620,836,261,004,207,957,243,750,701,858,525,
941,469,105,140,068,184,715,374,747,462,087,881,475,198,621,568,429,112,640,
489,773,358,898,638,641,224,587,744,392,164,445,115,444,324,464,801,870,394,
872,029,897,710,393,944,414,033,284,944,624,626,028,601,521,203,826,945,944,
818,753,640,677,637,381,163,965,590,796,277,478,565,831,549,393,461,660,542,
525,597,660,193,412,913,867,839,669,151,016,024,284,936,133,053,341,687,294,
806,395,332,668,686,566,734,996,810,348,481,299,355,249,121,792,256,243,832,
875,406,223,799,296,872,628,441,261,140,736,425,070,805,685,587,835,684,462,
797,331,078,553,019,934,244,609,286,815,782,920,604,187,626,350,034,142,440,
778,666,218,833,489,801,996,640,436,876,485,009,530,519,183,418,684,387,762,
015,607,740,601,909,798,700,213,532,386,865,464,168,973,969,700,600,931,957,
784,483,178,084,121,822,964,410,395,320,441,210,494,469,863,302,516,019,820,
933,314,458,691,945,136,211,929,459,586,429,722,097,869,096,946,104,308,923,
289,616,089,721,215,820,538,468,120,540,908,090,580,082,351,886,008,815,756,
372,797,049,458,984,822,380,521,240,968,594,305,730,388,212,589,034,643,840,
235,640,829,264,756,153,760,108,974,883,411,475,514,451,061,955,572,086,870,
651,722,934,238,110,571,852,844,763,885,365,341,100,665,517,652,959,719,552,
486,549,719,901,104,156,346,491,297,760,680,082,856,503,411,707,084,703,158,
171,379,618,747,277,387,718,590,733,348,966,681,232,435,240,229,698,072,690,
816,580,804,490,551,333,687,737,869,170,704,216,712,042,354,645,919,374,254,
717,007,045,726,261,362,337,605,722,954,906,945,817,589,410,369,841,971,853,
766,469,646,125,175,977,824,704,528,944,419,673,282,673,323,996,021,823,287,
466,127,968,998,960,123,188,382,566,800,619,735,713,568,814,237,484,661,910,
762,415,922,077,183,994,555,108,453,968,837,648,167,551,865,764,528,027,852,
552,639,642,154,741,996,011,808,867,292,668,396,901,366,716,095,874,276,033,
397,579,207,061,358,598,845,405,665,998,599,827,560,762,533,307,169,063,756,
649,255,862,805,556,728,686,225,114,442,116,147,095,904,941,511,175,243,408,
460,012,651,658,278,677,182,579,436,605,531,562,613,542,418,249,841,218,353,
975,913,523,740,868,058,597,793,677,344,379,956,927,005,822,530,392,686,116,
954,666,312,866,035,904,066,752,272,145,234,729,231,544,056,996,642,972,327,
650,677,294,627,473,572,694,924,451,174,729,276,273,832,808,763,655,652,886,
515,316,031,619,477,341,421,631,719,275,763,637,063,802,148,278,437,072,071,
071,512,891,527,311,586,876,044,483,430,675,182,347,244,672,728,065,248,169,
930,231,346,269,389,667,998,311,973,429,246,033,208,946,587,594,128,572,014,
705,860,559,391,795,583,419,954,494,565,043,604,668,516,045,755,056,607,083,
734,894,880,501,524,222,062,276,501,848,410,034,335,168,722,539,229,147,356,
889,073,717,155,645,312,789,356,894,036,031,235,729,809,061,973,857,726,773,
617,304,701,551,366,447,247,847,711,078,279,401,339,593,936,660,603,122,820,
817,916,606,290,579,367,784,129,014,396,304,661,360,496,855,788,381,264,150,
327,978,815,970,987,074,462,920,725,052,834,668,526,771,785,830,987,933,862,
960,941,611,039,217,910,658,920,942,424,321,140,808,448,356,258,836,496,436,
811,280,196,141,695,889,665,339,971,569,457,371,083,007,014,787,821,003,872,
852,385,885,625,620,715,270,357,583,940,477,705,937,839,396,799,617,547,267,
230,924,164,603,197,547,266,392,855,566,621,685,073,990,097,814,680,170,882,
486,215,710,020,612,626,279,900,902,833,768,650,598,386,327,173,704,154,450,
919,208,671,537,355,959,293,738,398,150,526,090,491,623,618,612,296,664,393,
237,420,857,098,416,016,545,184,975,086,396,221,577,236,886,446,407,349,563,
407,251,430,254,945,937,344,378,946,324,790,287,305,840,435,550,870,624,190,
442,397,576,279,432,922,887,627,287,230,280,551,964,361,081,571,598,710,414,
928,363,091,640,899,616,936,281,340,755,382,390,751,943,712,098,960,282,772,
651,815,404,016,799,288,223,175,017,698,555,271,691,673,498,145,672,099,515,
833,768,384,333,330,480,245,453,640,848,505,764,769,307,195,680,104,537,386,
534,337,209,285,093,155,591,513,304,011,643,264,431,621,996,376,290,195,617,
691,506,849,406,466,028,251,018,327,436,750,761,672,589,748,042,393,041,406,
546,989,447,509,809,459,059,719,777,738,747,345,854,604,459,801,269,007,166,
323,754,440,246,233,624,412,613,877,837,142,365,561,969,231,909,950,759,810,
608,034,970,980,876,022,290,824,838,418,026,121,673,197,944,259,611,817,009,
090,668,040,794,649,945,893,959,128,247,656,925,005,839,951,912,330,611,093,
930,116,917,074,394,836,967,907,353,085,307,867,463,173,769,046,484,114,245,
264,643,719,412,918,584,822,620,964,975,859,665,305,212,148,883,954,063,832,
843,819,614,049,275,433,157,537,503,430,560,796,091,106,984,070,930,673,260,
844,337,835,600,441,323,398,512,655,020,550,617,615,966,287,250,246,821,087,
044,224,477,663,732,143,520,381,540,161,647,577,610,869,398,682,479,061,189,
435,040,991,010,395,617,184,415,193,380,901,259,683,551,951,646,854,675,934,
515,271,152,321,414,927,516,117,943,449,735,947,597,678,090,082,470,332,250,
018,005,335,536,742,687,768,244,694,104,487,338,380,874,719,950,879,140,887,
761,688,676,182,465,780,870,251,748,019,130,439,881,810,805,376,538,067,606,
839,240,381,919,457,486,539,405,625,324,782,792,269,234,813,194,233,142,770,
179,324,410,295,425,989,534,691,578,729,085,788,819,499,042,160,776,088,515,
425,974,456,757,307,763,349,636,770,738,665,958,113,761,679,077,318,264,608,
033,980,941,034,091,859,723,640,161,091,850,722,363,501,438,071,346,340,769,
372,092,423,757,715,483,127,724,722,694,590,427,500,263,174,845,633,831,471,
438,319,414,267,004,867,797,482,925,701,455,477,801,655,877,168,802,439,983,
870,011,125,257,649,050,464,453,494,329,271,891,780,652,393,098,970,351,926,
927,364,845,375,385,147,554,562,833,119,601,053,847,318,878,593,537,010,733,
657,528,628,724,930,831,604,515,897,374,217,835,604,027,378,661,232,510,222,
218,717,818,246,301,313,621,780,167,849,085,805,273,792,954,031,484,667,875,
404,523,242,670,287,797,241,960,211,076,860,037,520,916,528,982,897,737,205,
259,242,323,005,455,420,109,036,048,253,615,799,913,458,171,493,100,775,450,
952,938,565,367,423,668,160,655,405,690,895,767,914,249,763,390,168,406,871,
956,922,969,382,823,388,011,828,926,982,996,776,544,464,401,908,532,914,537,
143,104,899,555,156,439,254,037,217,775,734,481,425,822,792,746,337,714,228,
888,515,153,722,957,921,986,596,653,919,929,695,354,644,378,476,070,401,360,
339,043,411,739,183,648,609,336,753,162,261,949,817,155,050,720,110,328,445,
136,925,209,699,398,528,010,477,075,723,946,936,703,252,332,386,637,285,995,
799,366,600,404,780,834,285,489,440,862,431,629,901,424,136,886,092,204,193,
817,404,881,645,734,846,922,537,898,566,216,198,563,813,857,699,389,469,787,
575,989,992,377,513,765,312,107,475,852,462,616,861,404,430,991,420,652,773,
778,335,119,519,780,565,047,261,843,069,401,444,954,704,442,982,655,093,551,
942,569,407,115,031,109,476,595,661,663,343,406,457,759,517,598,428,295,382,
740,516,897,439,281,936,315,779,329,073,841,995,002,101,199,510,064,412,134,
401,213,240,513,999,179,446,179,567,858,803,875,544,222,450,374,187,534,402,
154,224,164,330,452,180,853,277,543,066,479,086,108,593,405,340,979,194,408,
365,887,673,897,250,539,611,873,067,409,834,987,280,375,253,199,906,549,811,
481,274,511,515,386,849,798,012,567,879,851,942,838,056,996,827,955,264,138,
667,650,835,521,871,899,244,138,280,619,762,878,598,233,582,787,590,936,204,
410,106,342,273,646,110,349,992,533,361,623,849,357,103,493,101,984,368,922,
989,876,425,546,741,324,137,622,130,122,531,026,915,434,534,435,962,549,186,
821,310,408,173,915,101,291,857,798,770,353,899,345,068,132,464,118,412,267,
793,896,835,950,599,540,852,095,042,621,038,680,488,665,788,593,898,226,584,
866,714,740,848,913,434,059,449,211,868,869,537,827,929,640,925,867,704,277,
689,980,212,595,047,080,182,532,949,305,855,020,785,996,684,992,085,737,175,
422,126,070,232,088,978,719,860,327,095,297,373,415,346,933,580,967,796,607,
709,522,708,843,587,964,438,899,613,703,031,053,718,876,487,163,339,475,626,
166,156,257,740,240,479,572,983,699,797,286,279,493,556,168,811,871,941,417,
721,854,987,671,102,155,215,332,423,679,514,402,768,870,461,593,537,392,539,
562,583,950,080,646,115,463,309,846,769,561,178,078,046,661,991,528,013,924,
293,834,953,681,639,421,490,835,531,201,087,714,642,988,130,489,241,462,955,
004,206,897,010,209,072,399,687,526,008,058,944,646,082,901,271,117,081,598,
993,705,363,493,398,037,784,478,256,904,928,891,386,744,702,817,946,183,046,
964,073,158,993,712,152,396,630,157,013,826,812,895,376,797,225,107,967,524,
948,386,823,233,569,433,823,484,423,925,485,559,487,090,502,235,360,208,137,
602,306,333,272,680,218,391,183,266,813,941,153,458,226,349,307,804,598,547,
399,725,424,521,544,089,502,388,530,764,534,514,984,342,118,585,270,545,199,
162,839,026,754,232,139,193,531,958,293,425,238,319,375,788,434,175,328,978,
994,045,461,958,284,055,984,097,461,383,393,384,957,527,633,202,174,488,140,
663,307,374,871,473,630,849,511,873,295,515,159,710,961,980,832,422,985,953,
782,060,151,558,524,684,317,272,441,770,493,174,024,127,132,641,453,659,854,
083,532,431,890,293,608,453,758,120,241,080,569,458,115,874,552,258,913,735,
172,306,484,908,484,966,819,680,477,101,912,481,703,681,849,942,706,588,699,
206,720,548,748,442,999,964,728,241,388,324,291,148,642,393,969,176,512,807,
793,530,333,223,940,745,029,194,871,743,183,736,547,553,615,191,474,593,329,
976,637,118,713,776,501,553,200,990,165,290,682,851,410,481,096,526,018,978,
664,923,535,331,107,505,833,028,222,071,847,367,424,682,974,840,776,675,425,
848,288,322,015,801,797,894,881,288,334,931,747,615,128,610,941,451,821,047,
709,155,162,267,443,763,489,510,067,345,403,690,667,124,309,689,790,209,319,
348,648,305,447,638,323,258,594,231,388,517,105,273,251,931,929,895,229,904,
608,344,729,751,897,035,173,610,163,417,111,293,335,682,505,452,134,824,609,
267,243,026,401,232,515,927,014,484,834,187,187,487,682,964,622,470,587,632,
534,865,194,746,798,705,891,911,089,028,825,835,298,195,104,560,720,215,948,
200,321,753,796,257,186,870,447,817,753,797,855,117,319,348,891,788,371,979,
254,653,765,665,826,173,079,856,276,305,195,143,910,394,396,311,320,653,843,
443,141,307,949,435,133,924,278,221,806,759,820,936,022,105,188,129,376,590,
800,067,962,991,765,027,407,200,670,829,611,367,524,281,112,756,099,195,774,
759,476,448,533,211,848,135,751,756,623,521,739,746,332,601,307,880,634,123,
647,223,203,763,679,493,935,457,573,608,990,310,838,609,643,986,567,867,286,
428,695,197,138,275,749,869,253,817,221,514,353,580,498,241,843,821,364,144,
039,544,283,584,461,581,869,446,678,313,968,285,016,648,597,877,343,396,870,
373,390,789,551,569,281,813,946,561,762,729,491,078,915,740,941,942,283,840,
208,418,695,146,426,133,951,847,808,162,425,075,498,279,835,556,881,199,124,
478,108,376,901,251,689,100,325,009,711,352,948,940,249,557,598,761,728,309,
211,062,540,230,555,787,297,395,539,146,822,302,288,518,051,797,186,849,958,
958,510,584,991,455,821,784,037,690,097,260,477,441,362,904,702,238,703,283,
027,504,877,251,697,189,998,027,975,634,604,791,273,489,624,130,010,557,074,
314,019,932,912,117,622,929,171,852,212,556,483,552,426,911,539,406,874,228,
369,581,006,454,499,545,116,487,896,234,357,467,246,875,190,644,037,063,754,
556,315,978,980,903,083,430,171,650,832,574,170,914,921,499,854,595,168,495,
928,387,798,834,506,961,760,439,336,868,815,337,227,494,283,538,432,139,740,
458,297,549,400,450,292,518,263,626,910,211,808,287,744,781,677,291,321,871,
572,192,567,438,551,540,486,247,923,125,958,471,661,284,152,685,961,744,726,
155,483,455,937,708,307,505,974,219,079,488,541,315,016,095,875,133,327,011,
915,949,954,299,901,694,692,578,002,382,118,144,386,172,738,848,572,666,004,
198,491,721,439,530,813,987,638,935,033,141,984,705,133,007,187,684,219,072,
677,339,234,472,868,719,156,619,100,631,043,257,318,379,556,819,932,497,272,
155,552,126,906,846,022,294,798,269,033,418,817,754,893,884,986,560,085,469,
633,685,007,551,347,166,048,537,494,518,505,637,168,239,238,919,770,785,210,
613,270,376,664,172,929,232,778,306,681,700,270,155,148,941,170,261,279,889,
582,628,639,503,255,775,217,381,429,082,190,468,536,697,853,032,436,063,253,
934,865,955,421,691,683,858,385,955,153,988,130,025,087,223,112,033,312,149,
382,683,073,241,293,935,872,087,739,864,982,110,195,242,958,560,038,969,817,
176,173,621,210,575,732,396,711,324,752,454,086,593,256,209,841,118,948,672,
166,344,090,462,310,176,480,227,080,994,179,854,667,949,784,286,691,994,320,
190,351,323,693,664,960,843,413,801,133,609,345,049,748,869,538,844,557,013,
353,891,065,517,720,109,393,323,092,689,422,706,826,384,087,638,627,624,659,
375,419,034,922,845,547,548,511,793,300,977,915,911,215,483,034,868,368,566,
275,594,214,779,797,074,240,351,252,158,652,670,536,465,018,946,924,018,935,
908,160,228,986,261,835,727,176,528,112,477,891,446,257,859,122,405,258,992,
287,245,846,744,081,986,127,447,682,685,629,149,746,889,952,563,561,609,351,
324,761,151,016,468,236,469,183,877,011,951,841,022,661,918,084,085,703,464,
227,565,838,595,174,198,792,464,480,500,952,242,573,424,064,973,018,011,796,
941,177,522,562,974,642,885,216,967,064,541,115,000,175,683,571,042,588,171,
862,926,611,149,152,965,330,705,941,851,805,281,183,555,792,180,712,018,994,
189,292,744,848,384,853,174,737,670,856,514,241,368,854,966,668,379,344,499,
682,072,024,048,490,425,763,159,393,695,610,626,725,044,667,514,483,508,147,
066,505,396,180,764,757,890,077,367,744,935,025,661,765,242,271,295,896,205,
652,938,541,905,148,853,848,837,665,130,953,056,748,973,670,189,962,661,426,
323,410,181,362,912,030,794,010,512,446,540,093,681,515,115,763,344,670,999,
432,644,583,951,378,987,608,718,458,966,484,386,164,111,363,779,312,372,493,
561,528,744,635,938,564,960,850,941,634,249,417,381,489,983,893,566,284,895,
190,353,779,834,064,700,136,688,121,617,634,308,041,419,959,222,594,598,090,
683,798,565,446,600,915,341,469,486,685,248,350,483,243,009,572,809,340,145,
775,409,120,661,541,365,025,950,786,288,551,308,521,757,058,946,571,727,592,
235,323,866,067,939,688,810,370,028,057,565,813,992,436,489,527,788,215,844,
216,057,651,599,047,537,092,132,251,986,105,153,651,737,003,632,625,476,351,
581,659,434,276,903,959,484,182,255,125,080,668,207,182,632,288,334,490,007,
283,994,976,244,143,117,009,140,265,971,125,010,683,070,422,074,494,219,430,
199,749,232,018,474,068,042,636,054,718,435,417,785,321,470,586,147,106,472,
313,924,418,735,965,695,934,420,828,865,085,124,986,945,654,570,758,303,781,
180,632,773,324,717,770,020,979,530,039,619,195,791,747,522,326,277,809,586,
495,337,778,566,738,062,432,401,988,358,458,168,815,038,053,585,571,427,701,
501,054,139,913,214,167,895,826,680,523,179,608,741,610,331,025,818,206,727,
834,089,702,616,300,747,990,811,934,767,489,277,631,199,972,771,930,794,456,
893,915,723,091,959,554,299,125,558,622,433,427,739,356,193,450,130,582,675,
704,982,613,407,576,169,312,590,042,255,671,410,399,408,265,275,851,757,208,
045,963,981,241,654,067,112,249,604,187,875,822,354,690,475,951,378,191,620,
399,653,425,785,258,633,209,831,791,394,906,035,058,037,759,679,264,371,777,
789,642,569,072,975,103,084,897,220,331,046,716,045,503,852,591,349,220,689,
773,997,524,429,942,013,300,058,154,753,232,380,263,699,090,796,578,542,409,
808,369,253,235,677,963,352,232,203,543,730,583,385,776,111,436,352,510,287,
297,107,322,281,253,485,086,905,436,453,347,867,777,942,874,217,420,658,020,
610,986,089,779,221,676,556,290,340,590,171,934,048,833,728,585,901,848,270,
360,995,355,786,858,241,246,748,135,406,730,522,786,508,300,068,105,716,615,
068,024,563,544,659,135,567,262,152,292,005,050,986,219,829,380,515,921,878,
551,670,624,436,144,726,522,527,604,337,703,505,099,177,616,864,522,697,000,
243,795,163,312,853,731,053,207,947,435,961,095,612,450,594,017,556,516,554,
961,689,982,233,876,750,801,058,086,876,269,074,175,948,389,751,629,073,268,
402,070,134,862,185,042,745,181,586,708,952,443,868,742,654,112,751,038,205,
932,805,361,396,089,730,425,842,034,695,981,476,308,325,731,639,913,763,354,
413,533,166,120,836,629,581,684,951,710,203,757,550,071,550,705,255,691,209,
385,272,251,669,601,530,820,379,215,154,624,641,123,441,870,765,866,952,946,
691,993,307,320,485,338,883,582,784,315,867,625,894,403,878,621,959,482,694,
622,820,760,431,868,382,504,803,707,143,482,889,708,100,101,849,790,065,780,
138,327,352,353,542,336,232,817,621,728,184,573,012,845,059,101,895,232,177,
401,260,235,701,323,675,448,299,972,333,298,712,584,864,661,955,614,119,071,
838,835,308,154,056,162,318,601,017,797,794,277,853,649,358,624,280,482,050,
655,049,782,607,371,808,727,945,764,129,782,253,878,912,797,320,798,714,950,
586,001,050,218,382,564,519,617,356,465,336,736,560,654,856,434,021,048,708,
734,953,530,577,635,282,462,733,723,066,639,652,582,430,147,597,897,706,771,
651,702,541,252,431,718,753,511,832,130,869,890,945,388,680,990,137,723,629,
200,327,266,815,728,671,635,295,099,133,273,569,690,971,950,665,704,783,735,
159,113,595,817,016,993,100,055,247,009,481,002,466,497,492,662,377,286,392,
245,787,214,937,867,328,253,266,799,415,409,574,133,712,956,122,991,133,030,
099,085,128,915,659,847,516,199,160,697,909,151,974,668,078,007,962,334,987,
918,295,805,879,675,082,260,708,965,416,272,727,126,936,252,812,489,385,480,
235,833,163,085,320,651,172,136,858,217,231,890,486,355,397,675,574,894,050,
211,662,072,560,460,198,564,843,006,229,416,677,767,570,321,517,891,087,074,
063,698,525,747,652,295,828,906,167,777,238,137,626,050,080,016,130,438,476,
776,970,469,126,920,793,216,062,368,210,403,231,685,665,853,319,126,254,442,
962,111,357,414,815,207,652,837,122,409,413,701,628,729,462,066,766,915,572,
051,424,764,352,532,301,951,755,946,671,055,170,321,111,658,913,356,293,711,
722,284,285,275,691,591,005,780,033,875,657,125,714,331,910,537,386,644,288,
182,943,586,162,013,507,446,064,669,369,982,274,309,111,362,648,060,042,801,
043,517,430,186,717,167,757,013,242,463,222,555,135,964,030,692,859,268,445,
814,398,282,682,579,451,850,298,419,115,700,883,669,020,580,155,237,840,362,
401,789,415,891,276,952,287,336,770,204,672,050,162,670,286,057,140,113,125,
658,920,292,343,379,070,930,976,620,699,751,778,426,961,041,669,448,734,868,
731,884,754,081,366,026,987,782,935,666,767,886,057,286,142,399,673,446,090,
921,244,896,813,092,909,980,334,415,281,728,087,820,427,874,620,383,940,927,
902,780,931,753,285,422,686,852,876,855,832,245,837,938,866,646,378,402,039,
796,650,335,207,343,898,770,716,562,173,022,700,842,314,758,586,376,739,486,
175,722,782,249,208,021,926,422,583,551,634,622,076,970,438,749,434,650,793,
244,576,890,683,323,606,291,977,680,299,745,486,276,084,330,785,473,371,697,
630,634,420,292,019,507,992,835,483,287,223,048,433,351,900,080,606,194,871,
923,867,430,448,597,704,898,011,831,180,330,203,535,134,931,747,083,143,461,
106,750,116,708,645,147,355,879,232,608,506,752,183,044,270,306,899,222,848,
389,954,276,065,459,980,878,522,173,487,842,071,193,827,546,736,915,856,201,
724,055,913,009,961,052,499,326,278,274,831,258,157,881,455,261,751,686,654,
561,209,445,174,326,325,705,990,229,105,972,027,654,398,461,097,540,701,554,
316,916,509,455,646,647,453,110,021,762,605,381,781,141,128,154,555,522,979,
697,480,038,430,568,468,074,472,379,348,847,495,042,124,306,270,162,852,644,
747,995,884,249,615,463,027,022,317,439,901,905,321,110,557,057,012,666,612,
241,166,897,266,115,069,308,562,978,577,165,791,961,947,175,479,247,814,457,
842,424,461,869,608,471,297,000,619,412,252,124,222,965,593,271,756,553,042,
756,226,252,005,745,316,817,467,212,574,187,254,809,743,390,678,026,266,576,
832,004,324,271,950,801,155,232,919,783,270,639,760,452,906,910,362,179,755,
927,941,416,216,768,728,191,621,640,373,716,219,038,508,425,601,232,797,314,
591,269,626,789,106,779,445,374,562,924,581,857,351,176,764,979,709,630,553,
238,042,777,017,920,835,840,635,783,046,282,276,667,633,168,545,564,565,990,
954,687,517,390,091,806,540,827,121,730,742,736,263,204,837,442,763,696,724,
718,021,115,223,049,754,101,940,108,258,632,078,365,614,437,110,686,129,009,
366,011,619,376,822,307,398,875,193,982,618,167,389,027,768,092,876,547,747,
797,756,541,625,946,516,657,147,301,443,838,524,129,113,006,632,382,031,229,
787,496,044,061,254,652,276,454,097,648,232,574,199,789,821,091,183,711,461,
471,815,892,863,425,257,538,320,197,901,687,995,170,421,177,747,483,538,513,
075,513,652,864,730,230,364,282,810,883,572,619,991,886,352,245,741,910,228,
745,283,633,914,570,931,726,082,517,351,006,005,199,320,675,463,764,556,296,
694,351,914,182,824,843,262,769,946,935,088,232,580,769,250,627,665,072,740,
935,043,231,695,819,604,981,883,503,193,359,267,518,503,060,774,070,510,377,
315,002,753,325,524,309,851,443,043,895,260,911,538,683,117,506,827,322,867,
263,446,701,954,983,631,417,586,252,766,203,745,659,078,576,489,615,181,451,
145,542,053,096,934,757,137,951,134,734,674,716,836,014,948,672,268,048,235,
949,070,580,109,650,713,353,947,036,247,422,574,347,919,746,735,373,925,144,
629,127,068,466,297,400,429,173,074,320,666,644,400,038,314,573,035,388,106,
068,387,003,918,253,049,635,088,420,321,118,613,304,476,598,218,028,814,561,
649,152,430,091,905,284,235,417,222,314,677,746,941,293,900,394,265,676,968,
590,426,031,853,576,712,265,605,687,984,410,290,221,624,225,669,195,626,655,
166,257,678,276,058,658,195,186,178,977,464,059,580,707,478,960,725,603,133,
648,769,089,724,542,950,382,877,132,058,103,602,095,682,298,967,843,446,852,
120,805,468,784,357,859,760,771,826,987,875,112,473,447,451,008,505,307,251,
910,739,978,071,563,200,666,596,423,871,886,677,974,363,619,946,052,147,135,
382,603,989,540,619,422,620,787,211,594,907,908,921,609,039,585,830,241,302,
264,919,398,127,035,747,562,907,560,216,824,493,747,537,370,632,167,433,510,
183,703,745,319,963,878,344,062,400,913,665,883,734,679,012,143,010,370,591,
882,589,345,430,149,804,495,867,729,733,617,555,164,671,868,592,211,176,344,
032,186,231,490,711,387,057,977,927,579,695,407,616,426,731,355,544,752,175,
971,267,867,381,944,455,629,446,222,271,058,150,850,101,254,030,578,798,817,
604,545,226,302,472,367,992,767,680,746,918,501,299,434,362,568,271,558,295,
913,065,663,231,014,221,785,625,737,347,017,435,280,161,683,006,186,298,392,
662,844,359,526,808,168,906,651,475,733,688,785,181,579,711,967,746,608,681,
015,105,384,648,004,824,824,715,018,162,740,759,980,035,868,827,275,410,363,
516,105,059,962,571,575,655,953,800,969,989,480,837,823,210,406,235,094,093,
755,838,356,648,110,884,745,046,591,320,486,614,020,815,093,077,206,717,952,
809,904,620,771,606,699,738,682,262,526,044,511,856,950,161,765,937,747,386,
835,689,876,421,627,001,468,997,255,441,297,894,570,125,971,746,194,077,143,
819,143,453,547,856,957,593,364,716,174,494,059,090,465,887,005,327,550,825,
766,348,187,385,890,915,710,926,316,500,237,515,538,138,830,460,193,783,021,
516,083,822,859,686,107,989,609,946,931,762,028,354,158,254,098,460,887,145,
787,446,912,201,104,471,289,250,238,850,531,141,101,223,385,156,077,333,817,
294,913,113,286,321,145,641,444,448,306,320,261,589,879,232,740,786,133,028,
982,219,916,365,242,820,590,404,698,334,714,961,891,330,137,299,146,347,931,
150,459,679,457,059,492,963,643,694,411,616,429,866,133,927,603,478,494,951,
274,181,094,061,636,886,391,994,235,636,812,094,950,543,277,402,220,478,994,
702,561,935,031,857,786,663,141,731,652,571,870,160,291,270,743,324,381,264,
440,424,102,252,194,602,794,321,358,063,504,998,869,485,489,182,062,195,845,
547,852,115,507,298,630,986,301,765,312,385,406,382,298,245,798,093,919,891,
510,773,161,699,256,947,129,019,641,603,663,095,348,368,087,183,235,109,724,
074,126,156,569,903,029,031,722,783,288,443,021,520,537,243,537,405,741,628,
030,215,359,508,289,999,847,987,607,997,247,942,993,835,293,308,129,702,176,
543,555,448,416,966,246,705,091,401,235,773,038,841,547,295,456,523,169,549,
992,080,305,354,497,392,450,237,840,068,524,365,641,184,660,882,614,275,213,
034,520,803,863,878,195,169,692,148,568,309,008,949,028,738,008,666,970,171,
081,925,273,865,996,956,383,385,780,801,980,595,098,925,272,669,171,537,871,
538,970,452,942,503,161,343,470,593,504,384,407,930,628,972,111,108,840,887,
539,636,376,296,788,412,561,208,367,056,482,819,012,849,382,825,315,173,470,
689,747,870,115,498,402,995,462,942,793,647,940,703,183,950,471,211,109,839,
203,836,967,393,102,572,700,437,236,693,702,514,517,995,812,698,259,888,209,
454,181,554,284,770,408,571,344,481,832,299,560,023,009,706,039,234,045,924,
391,336,256,866,415,151,602,510,942,804,730,747,222,873,992,914,196,833,625,
718,628,077,601,635,387,341,176,084,962,145,727,134,264,068,398,282,592,046,
854,097,755,640,667,107,803,585,632,122,310,900,635,592,785,051,149,174,371,
226,880,136,612,336,494,802,739,682,678,038,645,284,581,480,614,006,865,203,
890,467,141,526,771,538,970,599,302,660,688,335,249,256,198,021,452,282,535,
671,342,964,111,368,621,097,815,796,796,989,525,196,953,203,823,172,192,701,
081,946,671,912,372,733,657,970,537,684,443,987,873,941,045,926,368,572,542,
553,742,256,694,850,105,792,297,390,471,161,028,657,230,704,881,631,500,643,
995,962,611,753,056,178,666,359,737,239,570,427,667,144,144,474,676,335,402,
503,048,179,576,721,057,602,697,537,338,332,861,619,819,313,649,736,931,896,
425,248,419,821,973,558,424,249,400,770,222,231,651,687,607,709,864,168,435,
675,991,914,261,958,271,544,928,019,628,999,204,673,161,728,794,408,070,022,
490,913,328,646,450,704,663,678,892,427,237,918,928,585,938,658,072,998,266,
520,091,432,297,032,472,832,463,470,203,171,851,194,550,905,932,348,097,098,
039,877,476,222,961,647,624,582,156,475,677,922,823,225,248,756,078,036,661,
520,476,355,146,094,862,002,891,763,994,478,659,726,395,692,303,541,828,172,
957,961,895,176,664,939,050,410,203,218,360,876,025,245,847,072,139,630,855,
727,413,019,102,060,917,530,524,005,915,881,849,690,621,269,135,218,190,911,
149,010,562,611,075,434,487,500,524,532,342,025,304,619,470,151,546,699,961,
425,125,809,740,697,405,360,199,764,978,170,278,649,725,245,592,884,403,711,
468,557,005,821,693,415,839,387,645,996,388,611,033,182,456,988,775,988,030,
027,220,211,328,955,617,864,127,692,863,991,475,060,654,848,118,563,727,431,
722,045,477,544,935,261,514,357,614,474,171,385,313,390,466,246,500,027,054,
588,657,323,011,695,291,843,176,749,491,740,704,889,495,564,648,294,569,910,
481,311,531,860,703,689,217,254,007,088,888,286,959,832,111,072,359,019,404,
087,943,173,217,193,161,113,012,741,836,228,625,893,440,800,450,279,736,281,
552,295,694,019,219,357,301,919,192,177,104,006,042,178,063,327,224,396,707,
235,047,049,524,667,286,451,806,223,800,487,020,938,214,442,120,809,130,149,
256,722,396,421,133,084,652,711,353,776,109,595,965,925,332,263,516,435,378,
280,533,509,531,890,211,583,599,592,659,109,687,364,075,186,302,848,974,829,
012,223,401,447,699,268,082,137,394,427,110,735,945,263,945,826,704,644,382,
065,448,872,489,534,439,807,010,624,849,726,811,468,957,008,000,975,288,545,
884,388,719,560,060,198,512,038,399,931,001,273,982,036,728,849,177,330,618,
563,590,878,653,442,434,258,496,087,076,262,503,269,809,442,660,432,210,314,
260,167,335,329,346,821,883,203,170,440,812,883,430,949,714,871,664,416,223,
760,103,055,688,532,367,247,894,996,733,601,714,972,596,371,937,984,506,979,
830,285,721,387,293,791,408,090,457,425,732,994,876,665,117,588,813,872,447,
044,703,815,419,165,668,725,465,437,947,769,430,913,308,960,554,293,709,370,
095,194,508,307,500,977,514,659,546,535,518,993,106,731,652,190,373,487,103,
916,356,132,863,407,533,804,772,618,981,196,979,954,138,345,148,501,057,090,
823,391,930,388,693,086,867,887,371,633,237,268,309,359,724,755,814,795,734,
615,121,368,738,537,874,634,119,266,617,081,870,026,631,632,245,430,148,415,
798,156,345,448,940,552,526,402,914,784,465,630,071,216,698,482,588,186,986,
973,635,503,875,904,015,010,868,396,709,401,840,358,990,702,391,050,231,777,
214,909,097,104,674,953,365,277,086,218,577,620,384,575,599,155,974,242,958,
584,581,673,204,438,686,652,187,579,510,463,788,679,936,033,982,237,901,043,
326,611,771,325,766,771,585,556,687,130,194,713,469,623,327,353,618,893,662,
668,788,258,056,664,439,627,436,808,525,875,997,956,977,452,205,912,552,299,
949,956,147,109,489,381,837,584,360,049,751,114,100,468,155,076,868,127,279,
486,960,309,145,836,210,630,916,338,401,327,396,476,647,849,324,117,784,776,
447,993,474,859,764,665,971,241,749,139,700,295,691,843,621,712,759,302,270,
645,476,016,693,141,270,293,788,630,941,694,838,016,553,007,788,095,312,595,
029,582,427,889,591,349,971,026,828,610,641,624,353,222,805,559,850,246,185,
374,292,579,470,766,453,444,575,377,012,213,364,934,182,521,083,478,469,730,
425,319,263,064,221,214,564,559,682,558,329,281,270,271,082,414,857,155,069,
340,248,816,066,203,538,481,511,290,297,141,773,626,026,312,656,238,186,361,
751,982,203,527,968,257,274,915,477,339,984,325,502,472,366,007,022,301,713,
366,508,745,852,186,615,886,102,328,747,463,812,576,178,153,957,553,443,833,
667,118,087,128,293,800,335,447,772,514,976,569,558,923,932,955,645,101,969,
560,536,430,425,483,081,696,226,850,909,732,292,052,431,357,854,000,880,122,
696,222,891,745,773,504,980,702,197,005,519,863,078,300,623,503,313,709,391,
167,054,931,384,119,309,776,160,097,538,870,852,990,968,080,778,588,043,851,
134,906,732,016,373,746,268,433,166,746,486,223,519,984,614,897,074,370,872,
111,741,087,874,693,349,418,005,720,806,182,132,691,056,399,449,912,323,878,
679,881,439,432,195,553,966,207,805,896,701,556,413,885,831,973,639,526,726,
494,693,428,049,128,107,617,266,591,985,840,211,962,124,719,426,242,288,315,
141,389,836,502,773,526,222,000,952,684,395,104,968,997,261,534,952,718,565,
088,389,760,044,241,598,653,103,982,659,163,581,635,056,682,394,877,881,808,
401,223,854,247,997,492,736,803,682,810,491,252,820,293,737,285,309,432,483,
564,104,603,762,805,196,639,793,058,616,815,331,038,496,796,190,917,384,759,
867,599,510,174,214,369,096,290,760,317,233,139,032,087,119,932,365,711,572,
248,419,362,012,504,758,255,937,795,988,207,876,286,332,938,581,974,207,574,
123,658,231,349,867,736,924,826,561,567,689,725,206,425,061,656,296,770,788,
238,148,989,280,838,961,326,781,406,173,574,950,307,533,613,895,461,408,739,
432,761,741,593,845,817,484,360,537,323,243,815,852,093,522,261,792,589,095,
037,228,821,037,600,424,986,097,360,167,644,907,109,686,604,628,564,446,572,
406,385,785,392,466,986,832,940,995,114,972,143,042,393,713,186,564,706,593,
052,858,942,983,376,057,505,783,301,347,901,445,163,224,035,416,255,910,265,
539,852,686,496,688,086,358,142,449,103,550,350,434,443,663,879,228,256,574,
629,045,961,115,171,692,082,195,398,689,948,687,944,766,766,564,936,349,174,
590,583,328,117,369,584,933,089,689,477,964,952,179,523,492,110,169,782,471,
385,367,926,184,706,902,246,460,581,784,267,070,024,809,426,629,523,283,954,
328,781,619,041,626,856,861,583,258,031,875,421,930,840,434,622,955,272,996,
048,433,351,326,850,219,044,805,335,427,818,191,060,482,736,222,143,847,721,
863,700,311,603,328,374,562,988,203,189,577,400,904,163,449,526,738,963,795,
419,523,396,781,635,340,407,652,774,127,090,726,669,322,095,255,598,323,964,
240,366,503,355,811,002,420,572,451,217,649,618,022,029,875,283,530,493,229,
541,599,695,868,378,297,117,180,529,870,331,246,553,873,634,521,618,267,067,
681,263,779,709,591,242,502,284,805,509,156,187,513,805,434,949,140,532,727,
209,794,718,055,860,589,027,569,971,864,009,309,319,447,533,648,075,755,240,
021,584,740,587,539,021,575,861,017,960,853,913,191,559,917,560,570,505,582,
321,814,451,599,396,843,919,360,019,641,056,325,766,665,452,426,452,143,804,
421,895,296,251,813,248,906,765,159,769,915,724,795,912,204,972,865,417,438,
690,019,782,419,938,657,212,003,394,387,244,336,516,198,785,868,056,060,348,
358,898,542,143,982,572,304,958,907,041,466,575,229,822,253,887,827,826,272,
691,557,853,339,157,187,009,968,475,212,448,320,777,129,794,761,724,620,118,
420,476,733,990,807,304,056,937,903,950,042,112,800,016,229,844,728,394,472,
888,568,997,208,704,502,388,566,836,090,149,960,747,616,287,334,103,052,335,
220,927,307,384,296,212,826,792,724,968,258,255,853,727,100,568,741,628,479,
882,286,955,942,418,959,829,853,308,462,010,438,483,084,908,372,242,527,857,
308,143,526,190,495,056,641,635,030,732,767,732,701,416,076,023,378,814,875,
012,137,036,956,040,710,361,360,108,985,854,001,614,662,841,575,297,038,186,
433,212,638,059,333,048,777,272,957,138,265,742,212,861,531,234,106,761,737,
369,874,827,479,141,820,386,798,712,570,927,599,584,003,433,874,573,040,945,
024,897,105,665,504,999,934,908,506,586,669,455,567,270,061,144,653,861,826,
666,124,211,229,692,125,058,825,401,100,850,599,418,250,029,424,920,577,119,
801,224,802,719,897,519,963,368,048,287,167,598,448,417,972,946,396,655,767,
974,635,628,439,392,550,315,077,830,234,485,915,357,590,918,350,129,755,053,
723,078,993,061,807,542,287,950,679,720,978,320,287,650,595,364,907,675,011,
235,794,358,204,964,578,509,748,436,163,736,001,424,347,632,092,600,705,084,
140,234,714,400,915,342,763,395,965,515,908,955,733,097,505,877,990,971,534,
376,461,789,748,483,979,691,397,241,833,289,950,668,480,236,431,149,291,584,
545,210,748,166,528,716,381,856,249,623,993,101,253,173,365,015,985,469,648,
806,235,025,299,687,772,720,892,195,446,327,713,885,936,875,669,401,330,921,
808,814,405,537,198,733,420,788,333,986,174,854,463,019,483,254,538,707,833,
907,581,934,389,014,320,209,930,719,845,144,418,281,513,526,171,420,791,133,
460,844,846,529,490,827,274,798,522,601,673,513,463,187,469,616,083,544,996,
341,866,384,098,977,374,585,907,356,950,865,038,860,664,234,091,938,825,476,
581,869,245,867,265,796,371,314,693,590,993,428,085,336,428,999,686,614,848,
276,560,394,636,849,783,603,922,192,014,339,379,578,957,340,740,378,778,657,
112,336,365,407,613,029,093,330,890,179,255,273,308,445,386,843,999,431,572,
757,802,977,494,871,448,041,462,151,576,466,265,173,753,668,556,031,785,692,
962,269,804,046,451,761,822,419,560,931,208,906,927,250,616,893,815,014,995,
641,475,817,024,335,192,335,213,191,984,426,912,786,811,392,434,414,230,441,
913,111,408,399,155,178,106,637,928,421,498,088,687,013,144,795,174,628,489,
570,510,448,352,418,246,580,129,098,465,309,062,556,377,844,440,895,698,517,
128,470,086,250,529,156,031,601,952,362,782,374,262,682,856,545,758,954,994,
940,061,650,794,192,226,541,183,063,879,761,421,831,781,354,139,611,972,123,
757,601,046,483,392,248,682,117,845,026,225,822,790,935,524,921,304,351,349,
741,908,487,480,532,309,176,993,445,742,730,762,067,265,400,727,333,483,448,
194,418,723,719,891,372,878,919,058,562,847,566,619,299,233,916,752,418,521,
334,013,503,219,670,579,756,688,349,911,541,779,611,176,974,466,095,229,595,
152,758,511,200,847,806,288,241,117,614,261,623,212,949,352,054,992,239,493,
368,968,064,630,571,376,533,248,150,318,590,668,923,649,796,069,704,903,042,
969,267,573,408,338,393,733,861,682,895,031,951,937,758,230,901,658,341,611,
278,818,107,053,523,104,470,351,851,522,285,254,247,807,798,285,528,378,586,
264,435,445,947,011,922,287,319,241,763,215,453,369,200,775,759,330,809,039,
960,747,678,067,247,542,981,735,921,768,558,680,593,364,576,178,749,176,257,
798,789,783,492,073,162,514,330,761,833,589,726,214,951,550,104,791,871,409,
978,816,105,388,536,064,045,345,605,927,867,051,557,583,206,488,902,016,192,
570,329,885,418,454,737,838,144,853,387,476,084,144,398,743,229,430,812,441,
768,067,717,302,565,170,843,011,135,544,179,583,867,105,708,219,898,069,361,
259,834,287,803,559,745,559,109,660,634,513,671,243,767,288,643,617,334,495,
594,080,420,450,808,025,126,564,995,371,762,162,878,566,029,102,940,301,996,
050,509,209,694,251,296,004,622,821,142,382,674,972,186,729,351,247,763,193,
829,256,754,550,008,076,218,681,229,078,310,258,541,363,209,021,847,361,462,
553,793,299,516,807,549,694,322,095,881,817,892,968,350,234,186,575,309,652,
187,855,122,567,886,758,455,754,569,784,281,352,694,806,883,214,294,959,146,
654,205,393,855,911,210,615,479,970,389,039,973,705,166,450,206,848,986,929,
822,296,080,169,422,143,435,154,625,548,586,655,809,637,132,461,867,591,001,
282,088,913,435,309,906,849,971,759,785,264,574,556,314,487,682,351,608,007,
114,296,845,280,017,536,552,514,076,664,024,993,816,552,716,550,563,087,121,
230,274,552,398,991,211,942,078,575,448,003,204,131,379,487,913,942,458,630,
441,294,281,375,708,848,974,340,028,020,221,362,709,793,029,654,429,553,510,
978,173,533,276,917,188,426,264,135,389,205,035,603,269,724,354,696,318,147,
491,045,371,428,411,392,154,986,902,929,361,141,006,007,288,205,895,057,234,
507,330,147,426,544,619,883,588,213,533,385,629,729,803,882,066,356,337,312,
715,090,447,121,757,966,304,392,786,524,835,547,292,744,030,139,860,771,743,
377,512,532,504,030,752,955,252,515,853,558,478,993,790,185,663,807,702,150,
937,235,605,176,009,475,223,400,726,657,509,673,424,271,058,348,840,513,651,
170,114,646,545,350,280,078,541,125,570,166,600,142,566,147,423,742,676,317,
555,100,555,254,667,866,422,442,128,740,309,882,727,374,959,920,934,095,091,
370,814,929,507,589,582,057,313,666,574,644,206,329,361,864,868,097,175,427,
847,255,039,103,351,360,771,020,898,207,966,947,301,121,396,961,975,116,561,
685,537,516,912,718,931,068,916,910,762,525,784,238,971,240,710,390,726,923,
383,830,738,525,258,837,492,274,265,930,121,916,940,194,889,726,372,452,493,
128,680,168,647,942,625,410,490,374,212,043,596,272,074,680,382,990,592,901,
660,845,611,819,503,098,157,486,144,743,575,779,094,175,905,844,053,628,360,
286,130,407,312,719,593,755,601,415,637,562,275,114,673,788,320,911,976,961,
916,981,803,310,639,769,640,387,428,627,479,195,626,333,605,535,569,087,107,
086,100,608,779,751,405,101,099,791,298,721,187,324,956,970,779,152,021,228,
838,274,067,500,939,767,313,390,180,459,599,731,984,653,079,237,128,407,720,
574,244,353,390,244,294,212,300,024,023,131,975,706,076,102,204,212,863,975,
904,246,978,400,388,135,107,269,988,319,402,746,392,176,553,802,381,960,506,
679,454,955,492,845,505,564,422,622,513,926,165,964,872,116,728,041,063,519,
320,454,890,453,741,331,464,499,907,735,908,453,660,660,395,056,353,289,129,
821,897,446,042,779,341,429,525,272,351,629,449,212,191,287,344,535,501,981,
237,863,093,301,146,011,672,638,844,787,954,182,775,520,471,541,190,988,262,
092,201,574,899,144,593,919,821,133,311,043,613,366,313,134,263,706,712,201,
230,368,929,274,507,419,189,383,696,100,170,344,875,647,606,213,192,300,257,
337,890,929,745,425,271,304,291,457,923,989,586,324,295,809,883,260,624,742,
968,581,875,071,371,426,505,214,974,992,754,999,802,649,508,064,093,561,228,
610,418,156,427,493,625,367,172,861,888,495,851,846,112,496,904,150,866,930,
902,756,737,229,014,359,438,451,658,034,307,605,180,551,185,154,643,499,407,
538,429,912,482,946,487,352,337,582,407,161,502,120,348,089,224,864,521,679,
142,907,929,194,198,399,685,456,916,408,211,394,705,894,164,163,700,912,976,
836,263,977,636,913,594,175,115,306,435,665,944,740,664,945,583,123,695,076,
409,061,674,344,296,817,038,218,374,285,820,291,068,782,793,749,539,375,933,
356,786,987,814,649,875,007,918,720,697,036,845,114,256,778,136,795,359,512,
371,015,518,628,575,457,798,415,987,094,421,272,285,409,511,299,261,036,585,
110,729,445,883,501,254,144,054,839,806,051,585,822,438,229,822,882,323,531,
029,014,524,619,859,555,523,928,019,497,403,339,527,608,163,195,099,653,740,
476,110,313,677,684,444,670,295,964,856,100,818,957,999,818,554,617,004,392,
332,184,318,647,914,450,964,852,310,050,529,325,109,009,292,168,356,727,126,
900,839,044,706,409,085,306,413,091,200,859,506,750,140,892,072,834,958,137,
257,937,320,271,386,529,954,620,280,999,555,186,671,015,451,526,999,188,256,
627,146,759,047,685,121,937,873,869,122,282,950,008,059,188,509,046,030,793,
151,696,795,238,254,819,647,033,127,493,707,309,817,650,057,407,538,314,500,
847,151,788,335,642,610,739,277,434,294,829,987,739,750,795,167,255,629,807,
350,046,993,763,382,808,384,318,235,259,971,404,953,279,493,103,688,439,834,
326,792,199,058,111,445,526,584,728,409,976,144,520,693,570,117,222,762,822,
005,987,804,044,825,152,901,403,905,466,826,423,855,451,399,752,462,545,452,
315,087,378,442,659,902,492,927,367,870,346,320,951,450,746,413,370,305,465,
912,349,228,625,545,709,332,329,486,840,047,425,848,335,176,188,608,497,788,
037,249,956,195,868,007,154,633,514,627,570,684,598,222,955,909,973,421,425,
914,960,582,438,686,465,680,791,332,346,514,549,051,175,244,567,605,576,689,
718,082,097,356,516,565,903,406,949,022,327,912,069,754,879,133,549,522,577,
809,330,650,183,203,933,750,478,645,312,740,458,842,709,417,542,686,028,872,
717,075,152,406,574,710,300,673,476,380,264,210,316,297,998,343,432,762,068,
632,864,072,643,531,732,131,180,982,186,263,976,740,801,125,831,400,346,747,
396,015,419,594,158,534,274,970,076,333,344,875,812,248,629,119,691,082,314,
576,269,493,491,974,801,607,167,070,316,976,827,647,093,945,398,892,703,818,
787,954,178,882,540,821,975,342,657,858,358,170,676,897,475,452,900,845,091,
185,522,716,993,178,034,289,998,993,849,607,280,785,423,143,667,654,858,860,
919,634,956,589,256,477,920,646,935,672,374,892,750,022,660,532,326,526,112,
016,982,876,975,751,086,675,951,917,913,810,669,325,383,794,464,676,257,631,
008,540,600,409,800,792,728,184,603,210,014,509,419,298,213,904,155,668,499,
275,281,785,337,849,179,554,867,433,949,606,498,993,259,400,534,153,367,983,
001,645,498,478,110,280,245,914,693,105,872,165,766,268,426,074,270,534,374,
214,549,163,728,946,083,013,207,095,627,991,332,652,335,283,699,604,993,169,
124,968,348,865,375,193,033,719,118,956,006,953,581,432,908,750,386,550,743,
199,862,656,695,103,308,693,491,273,735,528,417,657,464,314,119,417,361,728,
786,067,683,113,168,207,262,088,649,311,633,132,039,990,643,409,350,543,396,
813,196,062,312,191,662,793,860,249,612,943,011,476,260,010,595,989,737,822,
354,613,930,185,987,371,848,495,488,635,822,561,462,784,821,853,254,717,878,
483,593,109,378,746,105,557,828,098,492,759,727,529,886,482,479,779,193,357,
150,266,250,000,439,585,919,094,498,238,718,191,081,453,909,462,894,848,533,
136,457,746,789,457,069,416,773,757,740,324,466,361,046,008,202,992,669,825,
633,890,999,187,789,409,062,831,384,205,683,161,382,393,235,406,604,481,161,
830,535,800,714,287,655,346,208,625,649,935,474,496,576,820,897,751,931,176,
430,106,025,480,809,608,779,449,260,838,670,639,331,973,967,039,846,768,971,
419,895,620,997,130,019,333,614,005,462,867,855,885,059,223,797,286,876,456,
095,888,476,966,800,549,823,862,827,749,641,453,586,690,324,919,225,275,467,
231,300,700,823,954,982,829,212,411,950,290,937,266,240,572,989,679,316,187,
731,681,446,333,510,192,755,444,621,062,685,260,564,883,253,704,384,495,011,
072,831,933,632,182,051,983,641,486,989,066,361,554,965,981,732,752,015,509,
676,653,563,657,458,795,952,500,659,070,894,237,337,170,877,864,237,699,309,
098,239,218,981,132,140,849,653,951,031,486,152,932,628,767,092,788,654,408,
166,662,953,153,291,978,160,088,569,199,776,653,210,919,560,647,489,867,444,
744,082,791,129,523,971,640,767,740,891,526,158,957,224,023,973,856,406,262,
531,496,271,700,135,658,962,504,436,448,330,373,356,418,261,506,631,815,078,
545,056,248,340,770,008,968,173,105,953,708,662,418,028,522,747,683,179,990,
333,941,780,453,620,793,422,380,983,447,136,533,865,639,683,787,304,311,032,
271,690,400,352,415,890,801,864,647,474,759,812,720,379,448,493,045,212,020,
501,427,486,997,990,698,366,907,996,944,415,724,026,266,132,367,380,552,569,
752,655,381,576,106,502,438,770,407,501,352,481,038,186,263,276,302,749,881,
801,038,126,415,547,840,212,540,999,036,827,127,102,815,352,377,241,582,372,
742,155,920,486,330,499,837,477,163,941,907,202,095,949,151,594,319,003,520,
442,280,635,779,744,446,391,493,442,201,143,563,798,686,444,215,146,970,411,
207,351,197,942,714,496,465,249,362,976,562,343,582,350,876,833,542,866,561,
513,992,246,810,228,930,445,290,846,088,754,260,823,860,056,259,886,186,225,
219,441,755,120,922,414,446,513,629,490,716,517,920,041,080,515,242,619,826,
241,380,145,767,350,319,890,905,692,071,075,955,374,993,238,855,608,680,711,
393,863,537,406,318,896,043,458,450,187,640,373,075,280,668,247,427,709,358,
054,818,612,184,229,549,674,142,584,043,507,096,273,029,796,254,266,994,478,
356,439,052,687,469,548,110,298,566,252,774,323,059,460,772,676,320,288,637,
750,597,059,220,569,362,139,763,072,581,348,960,587,793,315,506,418,303,958,
619,339,623,781,877,142,255,465,562,781,319,504,729,119,734,027,951,536,933,
348,135,456,608,146,595,194,138,572,075,150,247,305,706,941,920,459,161,484,
403,996,572,545,751,498,271,975,129,385,160,662,384,597,111,129,254,517,608,
192,835,836,209,353,218,535,279,009,712,296,085,330,685,774,381,097,258,579,
392,619,840,548,756,913,305,179,038,430,511,309,500,636,926,616,456,071,136,
652,693,117,560,509,399,384,657,978,148,386,036,378,299,542,384,157,229,442,
538,323,972,500,569,675,685,692,520,111,288,194,973,944,509,747,183,676,270,
167,597,142,009,594,056,094,928,433,857,751,197,227,717,482,397,895,480,682,
843,193,691,260,386,605,967,559,392,650,006,908,182,716,574,433,487,259,865,
140,990,041,950,184,530,114,688,925,708,407,910,541,904,741,144,758,170,419,
597,131,712,176,541,906,492,421,656,484,042,484,573,622,529,919,731,889,002,
421,180,983,313,223,231,107,543,921,012,693,456,691,666,469,501,048,698,899,
582,469,444,283,633,723,726,473,691,685,355,720,976,888,623,607,438,623,040,
624,253,379,905,870,495,052,406,982,641,895,060,484,236,299,204,905,170,526,
673,721,864,256,690,682,344,914,727,088,470,995,149,067,476,538,609,117,178,
579,757,972,082,215,358,236,302,189,534,359,075,925,244,085,859,976,669,949,
596,659,477,684,413,841,111,842,641,853,962,746,939,316,492,976,097,618,520,
464,525,228,592,434,899,750,140,857,115,120,790,597,969,792,146,125,671,414,
958,592,980,358,369,594,490,065,834,494,008,736,675,686,850,091,597,633,737,
214,447,443,129,821,579,501,891,961,805,183,366,581,779,636,552,610,529,262,
307,485,663,986,482,451,754,944,008,170,989,154,765,906,333,481,445,003,152,
529,647,021,447,090,948,130,663,054,471,067,978,407,388,082,240,997,076,279,
962,507,424,061,894,825,009,246,275,466,761,363,589,813,262,368,974,564,241,
490,941,786,494,588,783,958,721,267,425,990,244,205,943,746,698,048,964,812,
701,416,905,562,287,783,048,986,565,581,759,337,255,628,173,986,873,747,386,
825,649,811,912,628,973,235,731,016,534,487,954,479,799,944,768,244,534,199,
652,988,314,032,800,023,662,304,475,088,327,437,440,915,380,799,868,477,457,
023,070,943,678,075,595,593,317,437,826,377,863,585,832,940,360,449,721,640,
298,405,792,779,926,380,002,477,816,485,501,873,896,548,125,825,775,123,584,
772,212,951,970,491,420,081,979,429,769,411,234,266,003,983,058,518,494,338,
529,185,419,582,998,438,717,558,127,157,510,257,258,567,359,231,811,557,153,
295,686,365,555,726,692,185,011,599,711,102,999,502,015,649,415,437,766,585,
651,511,837,915,717,587,966,701,678,650,271,592,403,204,940,224,533,285,208,
404,017,740,595,447,502,840,359,569,901,356,068,951,612,647,153,503,532,653,
034,945,264,033,009,540,952,924,928,846,488,141,451,499,029,502,131,972,344,
394,388,073,128,877,065,009,262,529,310,875,064,817,444,126,513,649,438,451,
626,732,796,009,471,492,784,225,427,179,992,384,211,644,781,953,699,193,653,
816,874,695,186,557,722,101,220,630,376,088,360,426,617,347,083,094,906,594,
636,686,432,571,714,564,861,171,758,342,557,363,413,097,055,783,882,605,290,
697,080,750,838,004,525,802,289,690,734,951,429,336,543,457,394,295,717,921,
513,552,723,536,932,111,634,725,414,693,617,345,631,377,007,971,774,400,149,
028,982,486,824,806,438,104,159,732,707,105,976,393,005,540,638,124,141,418,
807,704,340,987,791,409,008,209,748,394,232,793,886,364,303,215,456,237,987,
636,237,949,193,783,785,345,474,041,797,095,906,308,470,746,870,939,044,007,
342,224,860,989,445,487,089,274,616,580,259,329,014,498,108,274,912,148,488,
661,818,621,845,836,680,894,990,113,496,292,203,237,975,645,366,560,046,112,
638,629,512,915,498,457,472,886,935,764,045,893,198,748,981,443,003,420,692,
842,336,416,476,095,307,145,820,382,961,490,524,922,500,289,018,644,793,705,
760,562,438,286,972,142,587,400,124,790,818,953,897,088,139,370,842,626,630,
441,066,117,859,048,183,452,287,804,271,885,353,410,398,788,963,221,183,179,
639,666,492,402,997,650,220,422,805,597,062,460,636,399,070,293,076,028,941,
260,906,640,843,787,388,790,190,956,234,812,888,331,004,903,334,290,368,185,
047,315,524,932,684,173,787,506,298,113,524,209,950,312,556,884,847,683,587,
017,028,833,090,596,290,224,392,707,708,561,837,107,650,301,701,775,054,012,
420,535,384,544,350,252,292,013,680,907,381,618,503,404,004,831,307,577,955,
715,645,983,156,762,265,405,974,339,067,252,898,010,145,901,334,618,208,941,
672,079,957,711,393,305,307,719,460,644,458,388,999,449,433,057,486,597,870,
470,504,907,474,752,576,318,461,138,453,688,993,046,962,786,230,748,255,861,
242,651,895,578,855,261,019,054,739,712,180,996,917,242,420,383,096,473,749,
269,460,876,405,403,282,726,348,107,084,676,014,421,083,339,128,794,355,481,
687,092,050,000,907,804,813,489,501,107,313,893,534,366,402,545,768,299,690,
458,253,254,422,285,492,597,249,945,950,299,803,667,278,016,974,916,281,287,
357,054,345,400,008,982,629,391,367,418,228,576,302,912,833,408,242,304,213,
419,559,828,023,833,301,259,155,841,897,049,782,644,790,910,211,528,638,835,
455,557,709,777,767,033,126,404,095,230,460,006,559,829,067,883,165,915,777,
651,947,246,644,319,832,039,022,815,437,460,550,865,090,392,601,741,392,221,
999,062,032,183,567,639,432,916,990,675,784,261,593,963,252,548,500,968,218,
357,248,499,626,212,405,375,836,757,838,348,440,403,053,392,017,806,497,919,
872,983,557,320,790,982,301,835,379,989,866,479,353,939,796,165,360,067,207,
847,173,973,755,484,287,341,772,052,499,770,559,231,918,857,749,042,619,066,
478,061,377,193,066,606,355,355,166,910,493,380,057,064,295,774,025,734,228,
794,821,945,654,232,046,299,563,519,787,771,407,517,996,875,021,850,183,965,
706,070,691,485,513,516,396,962,211,121,063,889,962,913,641,140,189,635,851,
333,015,697,164,343,260,442,718,707,854,018,130,416,406,976,952,527,745,918,
638,886,093,609,601,876,542,107,321,132,890,128,374,013,948,685,951,500,762,
819,802,997,707,700,873,909,957,319,984,430,168,393,085,623,006,083,413,207,
495,479,208,833,410,334,449,165,171,165,497,220,617,332,172,461,337,752,104,
983,289,549,573,137,169,556,292,683,762,288,112,456,954,097,723,518,979,386,
710,078,259,199,465,734,556,265,743,661,920,705,058,892,878,057,354,363,859,
375,906,284,464,105,480,709,417,755,877,778,329,410,449,937,980,800,615,330,
411,692,502,571,893,905,117,501,572,215,230,436,942,397,799,846,325,318,523,
759,944,961,904,509,988,064,986,607,101,385,771,632,684,655,778,506,269,458,
404,714,255,885,351,909,469,284,066,953,393,160,345,606,279,433,912,397,117,
296,865,801,821,167,808,357,186,815,765,082,669,088,189,349,197,459,334,259,
755,577,590,616,564,208,550,576,064,469,855,724,800,811,395,412,258,713,836,
548,091,108,866,767,158,414,487,717,576,873,410,142,738,299,547,158,158,733,
289,588,513,802,226,073,350,719,168,584,029,912,247,681,141,657,974,247,980,
884,027,002,372,741,950,984,249,961,358,516,157,482,612,093,332,013,430,447,
471,480,426,855,341,801,293,862,614,981,302,797,676,357,476,596,847,275,183,
569,105,872,134,448,904,270,979,133,078,086,046,677,362,126,156,942,759,550,
459,514,207,641,827,071,217,991,139,448,680,699,018,232,833,877,503,850,426,
641,461,282,404,736,635,026,024,157,552,993,270,127,524,842,444,982,733,255,
170,012,228,567,155,847,230,967,213,433,274,093,125,023,589,609,214,873,610,
472,588,409,746,392,870,577,551,787,400,913,107,363,941,295,814,521,050,582,
277,364,738,040,261,454,732,920,040,414,990,977,961,190,799,540,765,494,861,
242,299,170,032,321,910,732,764,247,499,214,130,316,592,258,901,954,234,444,
494,883,366,652,018,284,804,167,720,953,993,607,774,144,496,417,046,168,278,
476,178,989,951,292,427,507,998,425,781,208,141,170,840,319,148,980,309,443,
425,052,504,904,568,795,077,229,942,335,349,562,710,997,709,577,579,529,599,
448,241,000,765,160,429,929,109,699,319,247,509,283,550,652,062,009,957,152,
193,905,503,953,231,635,265,455,473,352,845,999,331,481,857,933,158,342,354,
811,504,172,413,607,399,836,694,046,039,812,081,044,457,656,557,805,863,791,
653,102,137,530,260,734,434,090,162,978,849,285,722,314,761,080,745,114,299,
357,085,083,716,455,750,872,372,819,320,192,676,821,645,680,717,339,183,437,
219,506,766,007,466,510,293,376,772,927,848,091,094,250,441,135,131,198,439,
557,731,259,398,376,505,136,285,490,315,026,149,219,326,044,265,100,830,165,
553,063,972,142,690,851,564,386,914,187,691,556,119,772,305,706,603,430,787,
969,094,826,279,175,192,015,207,857,253,095,312,711,810,987,780,183,315,644,
877,050,113,646,357,432,167,246,207,588,429,723,471,174,894,553,319,165,977,
719,853,596,367,400,240,933,686,731,566,873,391,769,966,535,919,431,199,468,
461,600,616,072,255,996,648,324,622,293,906,129,694,327,781,886,636,096,675,
147,242,873,712,660,652,103,935,032,174,175,522,817,896,719,707,115,646,867,
114,692,223,502,164,696,613,774,581,093,031,464,352,965,524,228,913,206,278,
386,205,589,458,368,035,599,726,664,814,674,913,853,732,704,543,032,111,702,
356,207,514,091,362,350,789,290,766,393,967,490,244,869,338,749,026,060,752,
246,880,473,104,396,231,716,335,675,028,039,368,089,490,223,898,440,674,036,
428,881,822,612,123,553,069,308,581,714,975,883,530,075,757,372,501,988,784,
034,810,072,607,516,189,621,680,176,275,403,990,012,700,969,325,949,423,346,
256,481,579,206,965,813,117,808,988,787,655,106,045,241,722,113,580,702,409,
464,548,330,989,813,951,461,170,169,821,883,073,525,594,602,786,369,498,165,
109,353,663,555,720,608,838,177,528,920,214,734,401,848,875,302,923,972,744,
425,548,680,801,216,476,801,089,633,347,217,712,477,727,352,443,934,384,268,
371,007,275,963,618,124,379,674,221,637,812,849,004,065,942,666,819,728,598,
089,116,091,686,324,027,766,737,137,661,707,608,756,338,927,284,360,032,899,
621,154,256,138,509,465,734,935,125,597,360,567,522,523,143,868,018,547,658,
392,528,750,886,273,115,466,395,286,284,856,784,449,720,012,270,936,297,025,
595,699,466,180,531,727,593,929,857,457,430,413,167,621,891,668,187,027,624,
511,277,824,900,130,999,234,595,285,875,174,561,788,169,670,072,028,942,725,
552,341,558,088,120,738,447,446,446,879,442,848,550,992,461,959,324,151,602,
946,351,072,213,000,899,013,377,673,855,359,804,007,619,840,227,906,357,815,
537,660,081,319,209,015,325,485,799,289,666,110,897,713,284,385,859,444,731,
285,698,715,369,471,163,426,927,984,193,331,357,805,183,990,476,523,030,179,
845,839,009,108,381,260,053,295,186,741,729,789,216,853,481,976,992,805,554,
047,699,169,378,301,006,903,293,572,202,811,366,481,878,473,907,892,384,832,
051,190,805,535,847,101,644,987,301,495,455,055,314,008,174,166,366,700,142,
815,090,637,774,116,878,783,759,241,433,077,210,338,647,595,477,797,429,251,
691,254,403,210,612,192,010,728,314,616,494,236,506,776,597,841,594,973,387,
309,482,343,287,223,804,692,829,338,850,039,717,998,088,488,625,506,117,064,
691,579,288,552,046,828,919,328,353,791,490,722,801,729,276,480,590,310,532,
248,244,088,434,911,145,841,974,965,678,410,675,355,331,919,306,991,857,886,
265,808,989,597,390,206,587,294,048,009,408,198,729,322,850,062,539,972,248,
825,677,070,840,672,523,208,062,836,161,859,542,243,484,596,156,614,625,651,
116,993,491,669,835,660,908,288,072,489,486,340,722,783,158,342,360,336,777,
404,984,464,123,422,896,954,225,202,859,482,221,498,947,217,969,782,117,330,
837,436,748,314,675,431,910,947,587,842,254,566,867,839,852,715,092,962,857,
300,003,705,660,311,049,096,481,467,218,107,491,781,409,893,565,482,009,589,
888,625,130,142,823,948,524,457,009,136,996,034,253,946,554,719,134,148,194,
937,627,251,227,936,973,647,500,232,771,049,339,389,807,451,462,249,858,648,
301,522,295,703,132,855,883,379,956,547,572,980,700,838,007,275,126,690,855,
158,385,018,090,091,527,043,797,092,541,020,101,806,394,910,682,240,088,905,
985,199,142,721,284,073,581,795,717,704,471,171,151,888,486,888,815,448,758,
079,310,657,428,965,694,559,275,074,781,991,382,777,384,889,528,470,777,922,
528,152,237,491,398,907,780,553,468,020,982,942,392,499,155,314,476,472,414,
572,634,930,328,520,448,818,197,506,938,317,464,221,149,324,791,269,886,629,
837,600,721,062,471,027,478,986,790,904,137,855,141,343,010,601,742,133,328,
109,148,980,975,267,824,527,210,005,172,374,002,916,096,407,205,376,541,911,
236,388,346,969,052,410,868,331,724,945,980,704,825,398,073,346,084,712,509,
774,668,893,043,109,483,313,665,197,557,186,114,366,984,697,750,883,143,091,
733,542,214,359,745,897,886,628,866,871,969,684,832,883,415,054,383,723,215,
037,141,072,183,852,617,921,709,711,324,386,494,160,539,286,709,962,359,100,
045,357,330,571,742,430,419,685,984,343,498,491,679,309,754,190,947,018,249,
980,240,176,306,272,786,168,293,691,944,307,752,854,892,889,397,476,738,055,
165,961,512,322,130,076,031,263,984,504,273,798,483,090,549,028,905,262,448,
048,758,253,244,477,557,419,692,454,543,347,946,569,826,472,583,467,268,361,
922,408,301,461,452,767,916,917,075,743,709,382,699,373,914,183,694,485,262,
160,208,081,529,834,900,311,032,917,215,032,177,407,484,447,221,532,349,638,
786,752,579,399,221,262,995,154,568,030,839,575,689,906,033,852,386,270,660,
718,407,973,239,463,278,911,498,571,932,372,298,953,294,324,324,313,916,648,
451,700,107,424,353,903,737,539,048,393,908,254,654,846,027,409,574,686,748,
642,167,475,015,381,669,292,947,636,877,660,944,180,452,028,768,616,023,859,
623,950,496,818,429,571,544,286,324,921,517,129,683,126,115,451,996,831,734,
612,426,193,701,988,721,503,603,102,563,128,250,020,219,402,264,035,106,768,
895,799,368,316,491,544,682,112,355,392,790,884,449,672,995,249,522,815,183,
532,363,635,995,795,965,500,984,559,989,200,656,518,074,729,654,273,507,723,
857,588,900,532,278,836,955,792,149,724,065,133,988,267,215,702,273,193,790,
706,020,233,051,054,577,233,791,600,032,568,622,050,884,517,891,594,675,893,
355,888,241,290,127,611,753,820,303,461,709,066,996,726,592,239,854,000,641,
836,791,248,079,690,039,576,273,816,493,025,470,084,882,649,808,440,497,431,
427,746,845,481,848,446,776,402,184,518,076,512,809,546,846,803,957,848,411,
613,861,445,346,347,978,458,067,752,174,930,282,497,098,596,574,734,734,292,
741,111,731,136,740,499,240,312,275,526,177,056,019,439,271,351,581,980,730,
094,311,670,492,540,571,010,053,496,240,747,425,229,303,622,740,955,950,888,
638,767,629,553,165,451,404,649,413,376,864,314,034,294,025,783,573,759,588,
535,722,041,640,644,618,527,307,727,062,655,850,127,124,294,502,526,306,659,
078,105,554,630,819,057,785,117,491,659,494,680,778,981,604,923,103,011,642,
140,908,100,074,699,951,275,163,615,825,470,312,163,607,121,860,218,167,934,
905,720,969,602,211,404,038,837,919,340,830,296,151,721,981,245,221,469,302,
802,970,486,572,893,236,170,782,764,358,285,717,252,849,951,768,965,312,781,
149,143,957,000,702,038,006,847,962,837,279,096,838,998,017,624,876,483,746,
614,274,281,481,705,138,527,999,290,222,589,147,563,500,920,664,719,774,991,
466,970,900,868,680,878,110,144,593,975,388,919,898,325,686,574,693,188,697,
786,373,294,122,847,664,111,017,731,428,185,863,982,660,456,097,528,038,803,
833,138,978,350,069,068,662,250,179,811,987,263,346,222,416,058,081,785,875,
089,007,047,236,011,187,168,573,946,112,441,681,400,546,407,030,203,253,590,
030,214,296,364,229,889,400,331,223,001,802,087,900,053,788,273,690,717,562,
827,228,476,147,921,992,197,565,306,856,628,460,381,953,817,762,509,259,512,
616,993,398,550,308,731,360,569,514,616,988,196,597,643,781,831,590,877,587,
097,187,385,780,626,417,857,677,910,610,185,432,302,005,895,661,685,414,838,
645,088,371,159,128,106,044,440,734,679,432,701,790,476,572,552,528,487,331,
778,612,586,976,400,654,362,540,483,313,368,481,603,834,162,549,052,365,550,
411,591,117,572,580,428,873,136,204,534,365,194,869,566,954,928,155,212,216,
669,779,076,994,684,511,225,140,505,636,750,404,032,078,223,936,228,815,394,
931,641,413,825,631,393,247,669,778,892,117,859,856,109,919,457,084,268,078,
138,515,760,068,762,816,503,463,573,666,473,892,657,925,399,198,505,012,279,
873,504,991,502,976,961,210,756,225,718,395,531,796,973,546,470,676,603,182,
932,037,052,265,270,852,515,892,747,732,183,936,693,173,959,789,062,003,214,
169,876,016,784,782,873,490,622,158,642,529,863,973,749,753,629,982,059,349,
871,668,439,022,115,409,789,749,561,343,754,320,278,343,989,700,000,328,113,
689,715,180,642,317,976,413,383,125,382,235,028,025,346,147,520,928,289,514,
536,010,841,010,041,889,799,828,024,778,622,366,896,510,363,850,272,596,326,
754,145,022,517,132,107,826,549,164,713,128,897,694,076,485,269,818,775,482,
554,124,538,639,319,885,202,582,690,536,085,407,081,719,408,419,336,798,122,
791,707,084,787,966,181,575,563,085,943,010,213,276,467,003,190,456,484,288,
182,400,913,097,796,522,208,761,197,086,895,895,249,744,083,886,691,544,022,
755,915,184,668,550,596,570,349,954,087,310,403,543,290,667,782,447,788,918,
711,882,696,266,179,277,877,221,701,041,579,459,856,387,370,676,413,146,074,
856,620,963,637,922,880,485,093,726,034,257,160,989,923,296,052,351,564,872,
561,981,328,004,631,467,302,675,453,466,653,811,271,200,448,730,882,080,978,
281,578,570,681,840,867,684,730,062,710,905,526,439,497,698,789,420,549,619,
869,435,432,004,461,517,917,534,942,949,522,576,109,843,945,018,652,378,811,
000,838,820,541,200,110,312,899,774,460,159,531,521,662,653,466,664,036,881,
035,778,118,562,154,881,008,738,279,178,472,025,498,828,446,444,103,189,321,
870,027,113,003,835,983,545,851,326,644,351,276,298,046,587,291,653,066,894,
740,197,851,787,106,667,698,141,348,930,514,474,267,162,118,058,854,177,800,
971,442,628,770,053,962,616,582,828,643,309,128,888,241,978,475,359,170,376,
134,421,629,157,723,938,413,209,788,696,835,899,172,659,830,042,373,993,826,
136,260,565,668,349,929,274,208,964,076,056,148,790,373,888,548,473,884,171,
519,610,778,623,360,085,410,902,779,774,173,032,854,774,819,148,542,995,156,
110,088,063,319,018,211,038,570,152,183,662,368,058,740,515,981,078,879,200,
695,250,188,472,713,667,380,952,718,217,543,481,634,844,585,726,886,026,283,
612,068,592,495,222,068,473,658,660,377,916,815,321,884,303,836,358,451,359,
685,601,325,209,958,655,084,921,914,855,413,920,886,031,239,999,280,326,565,
351,120,846,198,669,642,818,818,826,465,853,968,210,161,033,882,172,011,245,
703,198,821,854,889,155,603,670,200,288,128,136,293,960,990,046,957,792,938,
593,407,450,994,154,299,269,482,389,475,102,734,018,483,712,580,173,738,032,
340,206,218,432,085,354,433,870,887,673,742,591,936,075,536,709,878,351,375,
928,504,439,950,618,201,470,037,885,709,325,272,723,910,130,391,251,091,518,
206,624,210,497,378,256,921,681,456,615,694,022,209,116,165,316,788,693,529,
924,024,547,391,672,692,011,013,250,337,658,218,222,852,248,587,842,402,706,
077,589,589,350,109,178,926,942,677,443,107,498,873,844,866,049,077,964,758,
470,189,149,660,633,173,773,688,735,052,456,563,793,867,519,538,902,686,827,
573,168,689,480,525,876,501,313,728,025,938,584,538,788,313,486,837,779,848,
125,706,546,517,088,786,098,016,946,299,924,709,960,469,444,898,258,033,745,
240,692,259,409,043,399,494,711,804,973,060,514,838,082,157,332,834,738,623,
213,542,632,217,691,526,820,399,403,128,803,734,506,951,786,642,093,434,136,
320,807,373,877,532,938,043,774,833,036,479,756,605,351,216,950,411,079,583,
957,424,690,939,377,976,495,240,618,138,621,976,342,629,650,173,908,855,962,
505,720,749,151,073,613,578,438,108,920,250,492,893,174,100,494,538,271,376,
641,518,186,948,108,136,356,598,727,985,040,053,816,438,866,049,845,644,438,
822,317,147,995,647,938,085,473,756,427,942,910,385,563,837,024,695,754,719,
275,723,252,799,520,341,271,779,010,138,183,678,497,020,596,427,420,331,671,
110,091,155,129,684,388,626,415,498,212,660,217,801,064,486,772,129,997,197,
790,678,331,173,305,627,453,763,641,910,780,015,593,102,959,403,039,601,961,
788,283,956,543,421,355,458,446,688,616,212,095,890,186,688,917,016,483,643,
753,000,641,033,379,172,106,736,498,076,699,988,471,041,715,794,062,987,783,
788,824,087,861,447,269,191,235,157,730,510,759,361,286,914,970,548,203,667,
106,297,237,642,317,757,820,359,221,583,954,652,065,236,227,998,560,959,493,
726,234,318,754,821,138,381,299,434,997,508,666,911,615,568,863,145,751,692,
063,762,402,703,158,440,955,162,595,995,114,296,027,184,424,515,318,203,370,
994,566,677,006,089,958,095,478,512,819,958,558,684,527,230,852,907,691,260,
230,295,120,787,741,601,878,925,810,134,455,775,599,194,889,847,570,609,103,
127,302,999,460,601,573,433,139,357,419,903,348,720,470,051,299,821,619,886,
250,298,135,050,999,880,025,371,144,677,084,966,969,488,261,685,476,779,033,
925,329,750,047,893,918,041,455,022,811,436,576,410,451,844,663,157,454,009,
671,723,912,933,906,517,818,034,642,100,640,237,950,845,881,816,731,147,068,
614,002,352,264,679,488,430,458,004,571,047,310,339,191,211,585,214,915,277,
412,783,226,535,459,570,206,799,852,329,826,604,196,114,039,169,887,314,103,
257,932,670,864,805,495,114,587,937,391,987,330,142,869,768,067,325,953,185,
666,691,626,452,647,529,338,848,955,354,704,667,350,924,938,228,580,298,427,
743,027,194,333,658,387,627,668,694,579,905,128,991,792,392,307,818,106,442,
559,561,687,383,440,437,031,942,072,837,017,402,757,002,097,810,328,337,008,
062,927,646,721,417,502,021,612,161,761,040,379,849,541,881,439,053,546,898,
986,191,260,538,103,381,077,003,474,518,316,103,988,187,188,597,500,440,898,
504,821,015,506,243,844,968,881,743,590,275,018,732,954,479,958,981,056,062,
091,310,479,413,335,738,589,872,976,123,599,430,291,475,815,867,214,111,774,
772,709,650,652,944,881,176,349,794,659,550,090,125,477,808,008,137,834,986,
807,214,072,490,150,906,200,418,306,737,320,263,294,036,136,522,875,981,860,
463,935,050,080,876,397,275,664,959,311,852,293,619,034,861,767,410,602,086,
070,196,564,162,319,600,066,166,268,443,913,934,192,499,732,550,923,381,896,
527,144,387,868,896,452,187,075,549,440,989,086,130,590,924,696,708,733,827,
533,060,892,449,377,321,512,518,097,059,356,495,502,144,076,360,636,811,383,
410,724,090,834,374,320,508,063,889,034,268,115,494,205,087,650,959,549,590,
669,835,794,917,716,736,403,789,084,501,495,266,797,807,873,434,568,717,209,
595,097,464,363,488,436,612,296,149,855,912,517,776,980,802,222,039,007,712,
610,867,141,631,749,779,435,213,992,170,128,152,651,386,955,020,451,588,092,
355,873,620,882,203,194,167,602,984,925,565,565,972,674,957,624,960,031,746,
732,795,431,700,489,495,904,412,376,775,671,456,634,300,903,615,778,450,637,
651,883,627,693,812,394,850,675,848,592,042,178,990,590,059,584,630,529,160,
808,513,423,163,402,414,828,924,234,162,788,182,996,875,409,320,572,675,141,
860,129,775,843,035,360,282,676,810,076,384,955,037,374,990,680,087,170,534,
867,377,569,745,375,853,470,946,536,539,855,420,997,896,358,980,049,078,775,
397,099,357,897,048,689,810,641,069,707,358,276,405,538,482,023,408,549,067,
322,065,330,846,811,702,204,873,908,658,310,263,364,129,514,779,129,482,210,
801,310,228,406,826,013,940,333,228,914,149,395,952,833,437,694,216,953,521,
546,527,079,799,035,142,368,950,830,899,477,852,155,805,149,964,614,128,442,
030,544,528,452,919,850,644,413,117,204,305,216,242,724,799,192,734,154,469,
131,168,043,399,436,514,759,296,321,699,962,412,779,538,688,449,944,991,377,
097,599,366,242,708,479,667,720,406,253,557,958,623,826,634,071,636,627,917,
380,178,137,637,047,179,563,977,121,850,162,430,792,885,492,907,603,281,253,
303,790,339,308,808,705,347,888,164,557,627,526,996,230,121,084,987,021,050,
114,692,106,993,795,020,398,245,300,386,742,073,975,079,587,339,517,442,837,
685,388,113,497,163,230,603,544,292,000,050,027,198,835,070,797,296,939,115,
893,819,207,354,570,040,267,470,897,153,718,976,388,276,011,318,485,226,204,
112,090,325,323,970,318,803,903,800,952,700,737,169,635,336,644,782,970,964,
472,119,000,136,962,664,671,127,101,118,514,397,569,167,949,853,103,334,269,
944,269,131,557,730,458,171,449,057,516,695,414,107,734,064,691,694,958,372,
468,852,441,622,507,914,887,130,399,750,513,447,070,008,801,600,238,190,720,
575,418,937,530,858,233,858,862,034,880,379,158,818,198,110,212,976,028,193,
690,211,451,153,571,196,032,074,566,615,069,836,972,920,274,595,924,426,176,
120,136,815,254,695,859,469,795,772,149,541,704,563,794,984,558,641,295,079,
770,754,279,720,592,824,222,023,188,051,156,585,672,733,483,487,555,950,359,
259,230,532,207,204,975,868,186,298,778,999,887,602,296,840,132,556,725,340,
213,682,622,006,854,208,571,268,445,148,621,433,992,177,598,573,038,654,839,
052,408,233,519,330,386,810,769,583,560,463,037,268,868,735,641,687,438,875,
280,185,269,242,827,888,810,215,767,360,072,936,516,157,094,699,845,498,501,
125,977,635,726,943,416,572,365,673,776,161,647,888,375,747,317,813,752,053,
883,118,635,907,818,686,292,021,643,820,564,778,590,749,402,699,538,157,154,
902,313,767,081,009,635,611,843,891,586,809,047,607,322,897,718,122,903,832,
191,578,498,053,222,235,678,652,072,475,559,955,177,299,276,176,196,601,414,
946,897,953,315,943,460,713,659,987,070,859,866,730,817,264,173,820,212,064,
147,674,293,428,710,638,337,007,212,857,192,457,628,618,162,508,529,478,688,
220,205,305,820,677,829,620,000,724,058,617,599,277,830,849,001,513,077,267,
534,141,130,485,660,305,511,613,524,862,574,572,170,163,209,213,695,946,594,
756,835,905,939,122,319,318,162,147,638,771,123,453,240,291,872,538,789,851,
187,745,215,488,785,377,040,240,286,438,485,512,597,561,137,651,413,417,868,
009,615,287,232,384,496,286,860,507,307,650,322,165,515,118,693,411,430,241,
427,595,207,358,499,430,105,182,997,013,009,588,109,551,446,387,621,486,762,
869,243,859,681,823,572,955,714,442,988,716,638,637,415,818,569,237,097,462,
382,654,678,780,209,197,879,559,632,248,662,807,482,566,131,600,384,704,700,
113,256,059,860,891,672,459,380,870,551,230,831,239,150,730,868,061,478,089,
310,602,814,907,541,903,137,308,336,156,877,510,482,046,797,912,461,344,295,
243,290,777,180,725,901,902,961,071,488,648,691,418,045,124,582,370,548,866,
629,027,192,064,282,201,242,477,400,202,253,022,976,070,475,035,960,853,185,
389,693,292,695,099,068,564,791,613,966,411,614,947,715,679,922,225,802,451,
281,940,040,918,495,177,338,689,755,491,609,837,382,355,451,438,687,984,037,
624,196,191,558,654,472,576,031,401,864,942,174,960,416,519,172,609,557,728,
106,240,631,295,292,593,390,453,873,681,499,933,085,937,020,856,770,147,050,
268,381,785,127,581,584,124,940,573,223,223,915,906,258,398,932,813,411,532,
997,029,215,196,682,800,946,960,862,582,022,327,829,828,428,584,768,912,966,
611,588,454,889,784,682,762,471,924,375,973,280,388,374,645,377,235,768,699,
895,949,900,562,252,907,991,649,349,601,970,700,742,745,583,279,363,158,208,
352,880,457,672,014,727,292,661,352,461,942,363,848,107,535,367,243,518,599,
077,847,460,431,491,910,943,650,171,223,120,352,951,476,061,411,921,646,334,
290,582,573,522,868,059,622,043,379,258,559,343,889,011,663,735,177,802,185,
016,112,870,983,092,171,944,622,624,009,955,960,803,951,960,318,511,813,682,
711,729,050,882,838,906,845,858,765,242,379,374,521,000,881,954,064,300,315,
212,763,187,802,700,810,066,861,924,258,526,498,107,745,056,820,010,215,440,
758,226,904,222,139,048,737,126,808,867,888,291,319,081,222,015,964,753,216,
367,046,964,213,625,054,410,352,739,685,356,016,911,906,366,118,803,524,071,
904,277,843,886,043,374,350,387,810,098,573,293,476,397,239,304,269,137,849,
558,965,723,458,389,553,349,266,683,014,264,793,268,844,243,376,935,601,954,
775,789,631,650,732,999,687,899,847,371,351,655,057,922,994,804,277,031,881,
693,382,664,625,769,983,743,064,365,508,347,044,042,953,237,415,500,410,651,
097,669,229,104,357,914,730,838,973,877,651,218,481,628,243,911,559,373,885,
083,947,834,880,993,043,892,566,757,987,190,836,156,223,562,699,681,281,284,
882,886,440,248,108,989,650,305,265,474,627,774,733,155,989,086,080,238,393,
544,787,210,691,366,457,602,139,725,126,707,738,972,523,658,870,534,015,913,
199,594,916,417,232,629,107,552,592,836,090,891,593,717,286,240,742,539,745,
431,589,647,585,769,861,240,947,473,802,407,806,230,380,369,771,595,248,360,
775,623,099,455,955,720,022,536,536,234,188,092,738,763,576,109,633,458,433,
607,603,132,922,381,047,783,169,750,400,739,448,415,208,678,961,542,220,132,
935,845,362,920,188,000,908,136,822,474,541,762,982,642,878,477,106,294,367,
855,217,329,772,427,429,230,349,158,948,173,400,196,045,194,089,840,282,305,
841,813,136,535,480,052,865,304,971,275,045,361,295,262,147,608,865,837,092,
865,170,489,403,530,052,207,930,715,366,731,590,777,475,360,803,607,947,748,
653,553,901,968,092,594,654,960,089,707,965,292,796,682,046,968,916,819,092,
441,672,200,463,003,815,771,349,138,115,343,780,866,609,549,012,807,538,709,
032,013,413,531,059,104,191,197,592,001,574,358,062,104,479,439,403,464,263,
307,741,709,805,133,375,463,930,465,421,576,909,497,206,109,026,504,589,675,
204,915,351,359,119,906,195,334,984,170,824,212,702,722,021,763,661,547,966,
722,207,977,838,022,103,697,885,285,875,838,727,817,782,035,101,630,138,133,
556,243,095,048,590,675,448,257,079,087,724,476,458,565,304,420,501,912,878,
398,618,840,230,011,797,092,540,984,339,890,512,192,544,634,524,754,387,536,
113,660,189,393,181,202,544,705,566,488,315,953,310,624,406,230,089,403,227,
056,940,195,409,459,453,029,157,757,731,723,307,699,494,220,968,256,920,550,
681,867,441,752,412,670,997,484,171,041,132,245,066,865,445,820,168,192,763,
638,699,322,000,645,309,557,424,369,406,328,623,911,172,888,815,269,856,071,
555,743,009,085,484,605,042,327,926,307,345,064,076,747,780,756,798,022,262,
327,517,136,770,734,016,319,661,224,572,708,134,599,129,170,598,853,741,382,
540,036,264,799,319,045,212,093,230,910,089,315,979,943,884,740,212,589,189,
577,167,762,991,167,653,891,989,024,762,273,438,888,090,935,354,555,100,210,
338,936,997,334,079,528,559,062,066,891,904,548,673,632,952,982,532,048,986,
952,842,876,948,958,107,621,798,793,767,864,003,974,322,765,277,441,256,000,
347,915,538,626,204,071,090,903,412,899,027,479,667,712,158,761,222,148,434,
149,525,544,578,381,688,560,891,433,690,236,842,960,419,268,189,474,391,891,
246,148,701,227,420,837,522,638,149,461,666,386,650,686,711,858,284,396,378,
707,034,016,773,168,805,214,765,216,183,668,732,089,541,022,997,672,548,432,
182,917,542,218,913,857,632,753,230,073,849,722,270,661,119,883,925,439,144,
701,718,370,534,718,083,706,008,960,867,483,017,942,042,387,200,027,600,103,
890,742,692,140,242,174,810,348,298,131,135,373,239,602,507,473,753,289,764,
676,460,420,562,572,314,176,842,796,563,875,210,059,881,488,516,467,589,393,
995,229,826,132,352,907,365,864,501,754,698,025,324,627,069,426,210,170,022,
600,219,457,671,615,043,584,689,661,361,554,380,071,340,252,019,810,620,714,
315,645,083,003,785,382,411,777,350,188,608,000,141,346,554,157,493,497,791,
976,045,497,353,010,310,787,698,388,585,706,670,926,973,918,404,665,537,065,
831,104,558,417,558,395,308,691,350,007,070,774,293,127,122,592,052,466,888,
966,894,409,674,040,030,640,448,185,137,592,661,839,713,725,091,425,515,922,
396,413,868,377,921,460,925,794,716,047,174,539,447,866,008,694,124,061,629,
694,771,823,744,546,652,925,421,759,253,050,364,257,568,172,799,568,967,084,
771,662,330,865,817,171,883,215,226,324,913,763,987,782,319,037,977,766,895,
667,233,725,852,456,601,837,478,511,394,183,159,217,150,126,660,731,060,031,
971,064,026,328,929,352,281,216,424,949,023,715,267,673,260,077,077,819,407,
190,984,993,105,148,827,327,466,649,186,254,253,603,245,741,666,129,634,301,
590,246,503,399,109,053,481,361,166,905,287,220,011,099,825,385,556,252,396,
711,055,595,405,532,437,057,654,204,506,141,256,561,525,527,870,804,002,709,
145,800,358,541,265,712,442,195,989,787,535,753,075,375,398,200,904,609,957,
840,255,835,951,990,255,219,525,699,297,937,114,138,528,755,704,568,129,867,
432,140,645,413,828,644,793,367,596,230,092,185,994,647,724,782,980,454,110,
398,533,315,370,992,409,463,653,958,866,483,583,659,677,386,329,794,115,751,
088,277,895,075,991,949,683,312,352,125,253,230,212,280,308,149,551,405,109,
116,432,811,772,666,932,452,641,352,576,027,295,992,041,236,015,014,595,733,
485,264,635,880,505,692,595,278,663,186,223,037,208,438,874,733,515,338,507,
162,638,493,717,115,584,434,236,839,149,331,189,113,515,262,054,095,365,044,
141,804,852,981,419,607,809,055,361,321,671,186,457,918,797,472,679,352,692,
217,351,603,022,179,823,331,181,757,461,413,553,635,986,683,213,092,969,944,
416,416,535,183,050,597,170,230,593,448,781,590,200,342,548,011,510,185,176,
060,636,330,571,392,272,193,808,421,603,871,658,527,839,367,733,278,096,604,
180,947,876,883,187,600,153,808,750,784,814,948,835,760,515,172,348,778,495,
672,256,145,766,911,650,623,346,322,085,174,978,499,964,686,497,258,677,526,
506,279,506,905,803,141,822,860,246,582,037,685,064,729,159,077,004,853,416,
539,345,445,099,615,193,804,155,176,978,438,140,552,791,041,478,350,040,651,
035,087,826,160,217,648,603,733,781,189,228,491,514,413,672,673,101,031,348,
535,296,943,105,457,671,116,827,998,174,176,364,683,605,807,717,200,342,362,
142,259,662,078,619,886,111,877,978,009,954,594,058,989,163,284,105,093,569,
041,110,105,596,319,121,229,178,723,647,575,828,269,319,923,232,676,567,490,
241,417,404,282,123,826,068,100,034,909,724,466,756,366,775,372,466,012,296,
286,951,684,967,580,307,091,262,865,538,977,292,501,733,333,569,527,175,706,
321,120,713,840,718,759,068,972,903,555,840,625,066,838,891,424,385,045,804,
618,358,364,359,080,470,379,058,841,701,957,966,802,582,248,376,422,702,897,
775,420,516,629,105,864,287,475,570,702,851,876,031,026,931,662,890,759,033,
085,248,713,005,366,349,520,718,966,981,709,048,501,348,870,780,937,287,042,
967,051,997,472,610,614,288,091,546,495,327,019,231,266,063,669,491,297,001,
728,174,565,351,094,284,560,630,218,831,245,413,761,987,749,039,373,688,666,
209,603,750,600,358,959,499,021,684,812,576,591,559,712,234,200,016,877,678,
203,379,852,958,497,353,418,445,756,299,903,050,800,889,407,681,321,350,980,
380,873,985,882,672,414,808,234,545,288,594,314,137,980,368,125,623,352,968,
339,959,417,926,766,456,860,293,564,855,921,948,917,355,691,934,890,422,428,
595,888,479,201,978,360,536,566,604,533,876,225,520,429,007,760,877,974,312,
741,619,951,173,282,408,810,448,556,092,582,682,666,048,319,935,082,963,257,
436,260,877,343,265,126,935,797,281,670,579,247,161,037,312,946,258,115,771,
644,156,956,769,764,644,945,414,933,827,148,460,639,119,400,177,750,898,636,
369,476,713,506,696,965,786,229,470,171,592,260,840,881,383,987,358,511,673,
473,799,993,044,952,572,778,165,872,570,948,680,110,326,351,172,168,851,721,
083,306,609,257,913,451,063,060,023,521,631,806,198,149,801,214,524,625,546,
551,209,038,675,118,651,307,660,886,669,535,398,124,771,760,110,178,072,143,
490,999,035,020,928,220,632,233,402,433,063,029,769,152,977,071,599,396,917,
726,294,403,893,459,065,235,072,521,728,818,147,440,457,277,242,038,467,455,
656,006,145,302,675,935,265,029,271,523,569,206,939,231,302,300,317,615,615,
385,278,397,472,739,539,208,886,169,559,717,213,267,312,505,678,744,081,805,
877,252,530,917,567,523,476,174,037,993,302,986,931,819,440,136,406,198,578,
559,248,453,004,340,532,120,267,560,102,858,413,578,987,595,868,932,967,758,
113,056,023,115,862,213,089,354,701,845,515,122,928,275,976,342,391,296,368,
276,043,540,440,535,535,054,178,506,884,725,108,435,456,340,953,969,105,447,
814,308,033,384,096,762,838,839,200,474,019,241,318,016,604,619,948,180,614,
737,339,438,298,121,596,827,647,379,640,293,976,507,749,319,687,226,517,994,
686,507,245,758,889,099,772,260,978,806,019,092,979,034,022,567,162,543,418,
992,529,408,875,057,609,736,450,578,083,027,518,504,688,097,356,197,381,424,
945,106,615,424,921,387,706,151,516,523,028,692,745,339,855,365,896,673,482,
033,998,085,923,145,867,762,503,605,201,893,960,662,152,556,336,848,731,028,
349,008,759,372,274,910,586,120,314,832,474,977,682,167,967,266,495,076,858,
714,385,584,481,265,685,341,321,911,815,132,202,046,337,893,795,818,389,247,
462,620,341,256,981,643,832,737,479,959,248,112,972,661,859,863,979,418,080,
716,839,261,949,080,084,768,791,351,606,870,244,160,177,579,577,905,600,898,
737,810,930,946,779,981,308,948,465,923,444,781,705,645,605,862,980,379,481,
365,658,543,352,672,473,917,618,206,561,627,492,691,946,608,135,009,845,369,
392,621,857,740,170,011,736,669,585,576,559,645,160,592,144,994,415,756,873,
016,355,283,087,111,391,034,265,242,108,594,845,036,503,506,746,769,918,516,
930,805,970,687,900,424,721,739,895,730,095,550,694,703,884,208,455,544,156,
084,091,376,596,415,348,685,824,722,274,064,284,297,468,287,638,547,339,677,
990,055,690,214,646,524,092,110,576,528,370,589,278,397,118,531,897,104,536,
512,635,646,495,296,387,898,200,022,778,116,269,458,995,471,782,946,016,887,
409,084,825,145,124,199,054,088,090,300,217,588,243,639,987,376,007,658,562,
889,323,933,176,037,572,053,693,291,426,120,455,092,038,451,607,401,088,166,
930,025,746,655,966,117,021,051,402,185,060,736,420,757,053,810,728,103,621,
894,081,957,182,027,036,920,587,464,341,531,185,176,199,210,680,896,586,844,
937,755,135,202,104,700,423,854,494,542,392,401,064,456,788,152,445,432,130,
048,320,558,315,145,336,270,116,730,616,698,200,056,904,464,525,565,173,278,
613,077,016,956,314,296,166,859,688,310,709,708,423,195,299,918,861,334,107,
679,260,381,128,646,353,627,781,441,768,887,711,498,236,288,171,745,480,331,
902,536,543,554,200,820,015,723,985,342,540,463,387,891,850,090,937,535,501,
606,003,315,205,881,949,831,219,773,208,899,981,604,064,229,782,535,637,961,
332,246,776,853,638,899,925,332,606,080,410,769,352,136,960,941,583,522,236,
732,540,172,620,143,118,435,122,067,705,126,242,702,468,805,706,077,819,869,
102,094,305,547,495,814,205,339,222,581,067,471,755,204,118,591,488,033,024,
016,643,420,326,864,863,908,256,016,081,429,144,335,067,328,984,289,790,264,
103,554,568,075,372,983,344,572,599,230,262,966,273,106,299,048,286,495,496,
379,650,088,732,031,322,628,738,794,675,724,383,391,330,686,663,326,145,099,
718,765,256,600,606,226,381,140,416,241,691,507,273,689,450,805,424,843,813,
266,788,317,814,851,163,683,595,287,678,017,558,229,309,927,130,639,419,655,
942,528,468,630,787,393,884,459,641,962,818,716,809,631,905,343,553,637,697,
019,344,896,954,643,870,043,648,002,263,640,365,040,203,135,363,253,925,260,
232,511,544,642,647,494,530,763,737,170,542,582,364,965,209,463,315,802,039,
184,429,438,204,986,936,399,738,517,704,962,107,704,974,647,354,650,074,808,
353,326,749,059,865,552,146,385,078,230,422,536,657,469,255,852,781,617,612,
200,556,214,396,951,756,362,103,897,747,705,749,793,599,167,915,660,334,395,
008,329,543,093,790,142,658,351,459,677,193,952,803,148,728,091,496,440,376,
493,737,658,971,669,527,238,082,615,298,317,795,373,752,432,563,314,446,932,
818,149,255,208,408,465,378,553,413,256,899,855,733,938,563,087,072,562,377,
710,206,613,400,158,627,274,464,171,589,952,810,182,935,930,596,078,938,082,
341,941,238,020,407,453,377,485,842,266,672,302,118,500,260,408,679,599,768,
282,871,521,233,592,688,863,472,588,414,600,341,341,257,091,079,060,545,341,
724,175,354,841,533,348,543,881,075,632,242,482,064,460,906,271,319,130,916,
267,709,980,488,006,827,359,925,427,175,253,789,418,088,887,315,470,207,319,
366,291,457,294,619,859,154,690,260,858,223,360,621,485,489,043,250,594,953,
152,774,084,308,610,417,636,508,759,118,044,182,149,769,694,806,558,823,467,
857,477,503,219,277,499,031,376,043,679,895,838,864,824,486,472,921,975,373,
843,054,780,202,561,572,050,417,368,749,327,503,001,453,255,255,456,442,367,
402,262,512,745,371,161,634,743,103,095,364,433,008,520,414,048,754,425,625,
500,211,224,059,769,385,120,120,900,236,319,426,804,216,235,826,552,753,064,
814,813,450,403,889,807,132,725,485,517,492,521,937,699,381,756,777,688,884,
777,461,821,851,565,036,410,036,815,824,220,108,597,544,616,550,953,666,900,
847,643,519,146,347,814,360,421,551,256,911,008,293,919,017,623,250,264,591,
610,375,189,101,980,622,517,554,728,677,599,022,123,285,282,108,419,357,403,
793,840,340,821,446,408,641,160,173,117,409,024,538,739,226,971,495,508,822,
660,292,904,957,693,681,081,615,798,674,695,108,748,212,024,910,165,622,329,
451,151,322,190,243,120,708,527,264,117,159,252,939,430,564,442,976,122,587,
603,085,281,626,297,456,750,359,755,211,652,163,736,035,975,266,896,512,598,
881,661,621,893,438,665,347,059,946,910,895,667,492,277,271,331,891,574,843,
957,112,039,781,112,871,030,254,503,539,790,786,679,610,734,913,046,584,032,
236,494,888,264,907,536,202,325,101,153,091,662,847,809,977,612,872,179,477,
164,277,495,002,818,038,195,518,706,172,873,791,633,089,540,118,820,760,475,
898,712,948,971,138,655,638,089,223,125,011,903,867,666,850,614,140,179,388,
638,328,798,808,297,074,678,734,750,704,349,460,787,026,365,746,762,936,495,
209,273,331,321,764,205,702,613,987,948,957,635,661,644,148,294,651,245,849,
827,860,879,476,666,573,744,457,697,828,213,084,929,853,494,823,843,472,534,
174,207,701,195,682,504,573,080,975,156,155,290,270,257,936,421,075,424,904,
079,681,598,965,417,190,951,883,078,280,325,357,941,966,939,805,994,665,839,
291,946,725,161,779,704,228,917,727,442,303,269,369,569,716,790,870,103,866,
386,384,900,589,215,452,661,468,612,357,613,330,925,837,844,329,599,974,662,
998,996,642,343,479,071,290,977,562,350,355,384,772,973,444,814,871,819,197,
120,220,171,246,343,688,430,865,920,498,116,161,297,969,118,192,691,678,407,
661,448,267,333,073,248,538,398,491,734,094,330,645,473,617,567,980,823,248,
535,442,356,966,868,348,213,169,621,719,528,570,379,064,876,933,854,991,645,
371,812,295,154,451,637,711,614,273,513,039,424,013,485,492,480,154,176,397,
230,507,529,392,541,349,927,543,680,125,853,320,364,598,850,280,711,932,085,
857,386,153,439,453,236,481,741,314,833,521,286,061,901,529,046,198,390,338,
437,252,609,796,213,998,447,452,761,668,929,340,506,397,112,291,406,808,267,
796,236,649,307,798,546,261,489,625,018,170,286,669,831,845,435,568,592,207,
978,388,718,851,737,481,299,643,948,479,231,683,781,565,938,974,858,209,312,
970,024,856,179,487,919,000,564,585,914,938,367,063,604,539,606,735,264,658,
802,538,244,914,683,841,618,858,509,879,401,900,594,157,875,689,548,301,443,
656,500,524,541,337,409,183,631,209,434,093,539,249,549,287,951,624,224,074,
705,842,299,912,418,044,000,809,243,907,129,558,504,916,671,040,889,153,313,
266,225,866,692,337,955,091,493,091,215,647,376,529,090,907,536,324,071,636,
759,715,769,713,368,913,631,877,047,462,790,354,841,306,360,109,573,761,221,
522,369,066,870,294,183,101,310,009,329,481,878,009,902,534,343,840,133,702,
331,401,998,275,782,750,971,282,399,311,249,713,400,080,226,729,106,512,295,
511,720,243,634,537,988,522,966,080,030,071,285,427,919,660,657,767,209,486,
503,873,433,780,555,906,464,613,739,655,141,041,989,071,978,642,208,607,055,
561,741,714,723,394,630,399,072,292,329,367,385,334,518,632,654,958,885,984,
258,047,962,018,710,446,967,060,335,228,476,685,244,915,824,131,684,938,634,
463,964,772,986,146,215,664,986,063,232,600,997,782,891,888,652,227,312,694,
236,194,512,684,131,818,480,966,117,905,392,397,345,387,555,973,440,210,445,
106,285,306,371,490,696,858,450,928,960,429,424,985,047,197,704,558,870,907,
557,396,724,132,840,272,229,618,892,000,440,891,827,797,905,129,012,999,529,
512,353,658,596,971,430,869,389,059,108,863,283,852,788,836,392,780,795,654,
466,270,426,431,961,309,269,225,371,602,693,994,063,812,583,708,409,092,511,
552,401,383,551,791,013,724,653,279,744,662,911,275,686,169,323,200,591,231,
970,888,969,410,012,309,987,721,467,799,361,389,697,539,061,430,245,082,981,
352,466,661,485,913,969,186,876,930,759,696,034,261,066,806,170,951,220,383,
605,600,142,619,667,353,445,800,246,999,700,931,913,220,484,800,339,799,138,
960,055,635,685,274,115,897,883,200,159,785,799,132,158,723,031,526,664,185,
480,716,321,352,948,992,715,772,406,459,467,196,987,195,298,855,421,600,389,
121,444,476,515,432,405,410,068,529,142,106,304,098,974,941,343,002,548,344,
411,423,683,364,609,731,283,582,980,476,147,352,582,881,720,527,233,968,531,
001,202,467,694,395,205,787,022,421,779,533,252,250,391,061,429,956,691,583,
665,344,442,230,769,852,543,852,766,674,490,486,942,402,275,241,612,675,266,
447,267,593,130,332,164,761,854,501,026,177,951,213,955,251,263,781,353,318,
306,918,081,742,205,290,915,171,843,040,932,958,615,513,173,099,258,754,415,
094,058,750,372,131,139,305,804,292,389,370,763,813,736,870,147,190,184,490,
172,638,231,034,009,473,664,677,729,120,672,739,985,932,745,386,145,227,467,
561,109,788,917,296,748,252,336,657,350,309,461,419,213,040,327,680,902,694,
993,820,444,936,931,011,215,644,889,172,377,057,932,459,505,469,782,340,584,
013,739,133,484,933,808,142,548,248,805,600,629,554,532,685,367,047,205,254,
188,415,405,531,601,397,398,912,939,335,450,336,853,945,119,438,158,552,603,
278,311,601,356,801,825,278,680,652,234,232,269,903,439,049,088,243,101,830,
206,060,689,627,781,871,397,682,281,669,245,493,032,202,333,817,949,688,611,
810,356,280,872,752,916,375,080,143,298,260,605,959,047,132,192,133,886,091,
868,396,172,914,822,470,769,041,796,411,274,745,233,976,096,621,869,747,449,
930,866,102,573,785,455,500,292,158,326,884,385,509,099,411,133,856,103,901,
670,726,952,530,027,196,507,070,834,081,323,937,767,088,395,160,841,422,238,
469,225,345,900,813,932,724,736,738,718,257,538,913,776,542,950,837,840,924,
519,498,133,156,304,906,147,843,575,189,716,265,781,694,244,926,783,299,819,
778,343,082,627,707,568,162,058,407,368,144,514,802,992,002,324,470,675,956,
683,287,018,047,486,364,442,306,392,276,338,717,279,234,215,853,058,389,232,
963,443,900,041,476,437,661,396,016,695,241,674,038,846,498,098,861,945,102,
905,846,291,960,623,634,047,128,857,449,224,740,613,938,916,736,629,486,356,
803,532,016,378,820,561,961,438,354,203,693,369,721,331,211,842,662,498,683,
447,417,544,677,464,446,985,212,256,358,677,636,869,282,078,043,064,963,119,
964,239,260,454,712,447,078,363,823,144,089,658,791,541,153,264,574,402,875,
634,028,825,775,550,565,199,076,581,238,554,684,490,481,728,650,182,268,711,
659,167,147,199,420,348,599,551,964,523,120,233,230,788,615,543,047,747,084,
443,596,378,160,543,135,772,126,726,974,866,395,365,083,232,415,809,739,626,
336,032,008,381,222,820,937,169,882,819,997,973,257,204,427,817,506,261,326,
063,549,550,303,798,755,715,199,899,481,737,519,263,505,981,076,452,268,506,
901,038,273,505,412,681,008,367,830,037,758,114,132,407,858,777,614,299,516,
937,501,578,455,556,176,832,771,776,478,022,339,843,642,314,143,941,975,132,
823,981,180,806,496,388,239,425,011,962,374,852,009,569,981,114,090,530,415,
734,918,528,167,721,909,696,206,196,703,954,534,986,547,007,545,362,972,172,
838,263,208,401,921,734,345,007,892,468,232,435,201,443,207,329,350,542,599,
280,988,293,738,423,439,428,537,749,381,594,932,216,209,756,521,426,433,718,
850,274,241,095,565,125,125,266,294,873,151,277,673,281,716,501,074,997,509,
367,482,713,111,844,182,432,110,208,813,207,111,697,463,527,029,066,218,787,
155,466,664,379,425,357,690,722,436,523,058,957,408,794,251,408,444,837,507,
390,403,701,615,097,472,758,496,590,795,766,382,473,666,052,042,935,884,801,
569,596,152,586,429,744,994,457,963,950,375,580,503,155,032,777,752,398,807,
469,281,464,052,958,513,814,202,782,336,036,762,148,472,411,729,053,327,852,
858,052,001,695,693,322,443,750,784,336,064,335,879,251,327,428,795,294,214,
203,811,299,808,707,170,868,114,052,820,959,844,147,058,331,225,700,977,454,
572,300,687,686,396,052,658,206,867,372,748,753,196,076,960,530,529,378,221,
216,245,865,878,405,355,860,208,606,156,232,841,326,629,836,313,899,311,407,
693,378,982,010,185,142,379,969,584,772,099,837,159,718,597,553,531,429,043,
770,268,929,339,883,616,071,284,501,082,029,088,109,628,037,374,540,690,484,
201,299,305,023,362,727,881,338,902,014,728,858,207,612,183,780,240,731,572,
628,127,901,508,679,868,872,896,866,893,950,557,388,955,180,402,140,827,934,
775,715,787,578,306,765,532,247,893,173,826,601,559,025,814,366,710,969,638,
454,550,217,189,481,849,318,705,078,902,588,257,205,296,531,259,585,217,688,
289,685,547,111,200,835,781,238,413,035,186,026,682,454,071,284,429,418,424,
759,433,450,775,471,924,572,055,217,488,205,901,252,328,407,735,005,970,239,
588,406,485,586,519,656,080,227,254,409,832,231,160,965,885,925,456,128,181,
977,066,151,711,607,915,065,208,330,891,649,672,684,571,069,685,281,169,834,
653,622,037,728,825,192,871,868,975,403,290,147,259,666,394,275,626,154,700,
684,488,773,431,758,589,592,965,190,889,054,417,950,449,196,951,385,274,885,
492,095,221,350,950,077,058,292,762,523,752,754,421,138,967,553,364,279,161,
751,465,493,825,088,657,659,523,050,413,694,483,442,047,513,740,178,996,679,
389,592,109,467,852,695,596,396,053,568,974,454,958,698,575,550,953,024,210,
595,912,781,836,172,205,793,306,223,281,332,931,477,562,352,518,125,672,128,
638,373,933,917,863,984,060,536,317,967,672,184,480,010,419,703,384,460,608,
937,922,195,537,041,359,415,235,825,742,433,588,362,149,128,163,534,817,091,
436,475,773,714,618,150,015,754,981,211,625,445,229,927,547,213,819,838,278,
643,024,775,860,981,879,508,215,190,991,535,666,165,134,100,551,136,932,437,
619,930,852,811,581,293,350,509,802,289,922,712,138,946,972,699,552,265,934,
885,211,212,033,931,660,533,994,968,220,405,774,341,626,362,242,288,662,263,
798,453,180,055,191,082,490,870,617,494,294,530,446,135,863,258,637,540,473,
214,798,648,041,535,307,841,818,237,256,541,592,083,277,690,905,819,425,035,
763,893,220,977,298,361,219,361,191,026,115,322,097,802,836,015,272,660,349,
151,927,317,642,778,928,705,687,838,111,089,091,716,095,225,162,503,476,647,
302,653,516,741,715,570,087,449,697,428,789,577,225,527,306,099,766,114,944,
857,204,914,970,055,430,591,234,806,364,822,627,945,751,560,597,333,367,412,
715,991,318,487,090,358,165,365,492,039,057,193,218,629,156,093,716,761,913,
270,831,413,925,871,872,972,886,774,141,500,530,791,974,866,852,804,210,937,
658,322,936,149,561,802,169,392,662,023,125,320,308,798,610,975,559,813,068,
827,524,248,071,169,247,835,345,872,193,542,156,921,417,671,053,374,986,579,
782,007,312,277,393,893,429,340,718,245,523,149,193,395,352,716,008,259,636,
000,820,369,876,429,584,956,830,247,858,723,092,515,005,271,611,021,152,163,
083,401,054,827,438,075,388,664,054,087,122,713,928,783,397,758,347,472,268,
794,513,745,168,032,438,747,655,572,162,993,563,612,930,782,625,609,681,016,
862,018,869,656,620,465,756,609,370,351,559,176,246,530,897,151,556,545,534,
541,921,917,605,854,001,869,064,273,558,203,461,491,394,571,018,847,832,537,
659,891,171,989,753,893,791,023,107,241,371,022,162,119,939,489,313,825,339,
566,616,777,438,147,470,491,069,518,280,037,630,536,959,467,645,102,030,523,
771,521,140,112,094,733,704,459,169,747,041,413,338,755,329,358,386,385,894,
536,141,440,028,901,636,070,311,109,062,345,662,816,257,082,244,316,698,782,
188,564,157,110,650,534,746,149,215,703,725,296,818,278,307,738,400,066,280,
334,869,555,427,802,878,415,704,141,227,079,358,928,259,622,574,685,851,298,
703,572,437,178,957,020,814,654,875,852,586,994,384,953,736,874,052,174,333,
340,863,657,395,987,056,005,440,922,050,049,752,703,309,801,732,218,316,013,
928,940,586,321,275,942,285,474,109,272,401,016,167,046,889,704,200,695,950,
055,405,471,279,636,571,151,092,109,448,059,739,532,839,453,994,328,555,346,
035,388,577,938,833,401,616,061,503,475,933,836,741,695,754,661,537,131,584,
900,644,598,441,690,195,154,929,804,822,283,655,209,472,099,900,417,824,561,
802,419,406,428,147,552,503,499,646,578,532,560,819,848,409,876,529,628,323,
056,862,052,980,805,506,740,749,775,119,331,077,782,312,754,803,683,485,061,
911,355,465,771,407,178,184,348,763,413,058,375,251,257,241,797,385,173,885,
543,465,137,545,564,837,653,887,572,021,260,636,605,001,980,022,470,630,970,
594,621,782,750,866,788,313,651,556,474,829,088,301,800,519,047,082,867,503,
764,123,243,381,891,593,945,460,241,369,104,831,072,107,750,924,338,720,294,
564,457,554,864,512,192,512,763,598,153,013,464,739,744,465,850,640,311,763,
314,658,924,241,528,264,827,670,521,861,712,203,537,691,961,980,382,359,283,
863,044,955,240,615,601,684,421,085,783,783,566,790,542,742,477,098,577,120,
448,786,243,363,658,749,710,768,345,168,220,124,321,822,340,625,266,979,740,
908,538,979,287,949,877,011,657,218,059,186,263,365,558,464,726,196,149,357,
620,024,695,929,960,803,865,544,618,699,498,349,051,932,781,517,416,432,592,
315,901,625,710,087,379,903,642,309,093,297,171,527,244,693,903,676,551,402,
168,625,568,220,471,168,024,821,028,246,851,243,712,869,941,825,482,769,221,
619,929,329,830,225,359,349,357,905,967,020,970,396,623,096,646,909,643,239,
178,443,788,605,749,776,447,814,794,887,367,569,122,065,779,101,340,168,633,
503,538,217,566,827,995,867,408,361,918,765,943,919,233,727,318,999,060,367,
117,172,405,946,230,291,071,397,434,887,300,767,114,135,355,902,844,778,628,
771,311,976,053,676,648,094,991,887,492,159,744,548,778,394,530,041,840,277,
332,550,195,090,999,006,437,742,062,076,682,672,663,222,073,159,401,560,082,
195,128,678,971,179,280,485,483,168,464,785,964,358,782,890,030,472,660,620,
850,169,229,812,914,708,417,939,122,160,184,311,645,103,029,616,364,023,547,
990,906,500,843,826,114,674,606,231,547,645,192,020,457,624,853,554,559,519,
204,472,752,213,021,279,447,647,478,917,765,929,615,387,181,968,621,421,807,
362,119,250,519,536,455,616,709,102,519,694,701,987,773,733,710,444,443,328,
340,495,597,850,534,628,302,876,025,466,245,217,117,097,950,466,708,101,302,
027,199,321,391,035,041,320,401,691,480,567,477,549,890,298,314,450,955,359,
520,004,421,847,404,250,012,037,373,736,627,457,227,621,864,800,329,617,239,
378,235,384,042,043,898,854,729,479,637,742,817,956,196,010,066,796,784,720,
683,469,197,419,792,985,499,425,556,283,978,870,046,496,035,668,278,588,804,
291,959,253,594,875,254,708,280,083,613,205,793,870,552,105,192,371,320,408,
869,668,683,731,057,516,309,505,608,640,058,054,271,236,155,253,523,953,493,
721,467,849,788,291,373,457,206,900,117,980,238,371,525,397,629,929,318,308,
309,158,020,006,171,946,871,359,344,749,998,094,650,122,477,825,055,153,739,
667,444,443,948,840,165,496,806,206,035,609,315,860,046,153,319,045,699,732,
045,934,680,188,488,045,901,386,811,844,318,080,104,561,292,725,091,824,540,
250,106,284,780,220,129,992,598,332,578,196,411,378,371,716,611,158,070,909,
203,694,285,371,668,515,401,546,556,998,394,133,705,625,469,965,517,411,683,
991,229,348,488,054,868,188,925,208,312,626,580,214,429,922,029,297,714,206,
685,862,079,105,070,089,485,391,572,963,267,585,471,795,703,305,262,825,681,
235,047,035,389,560,600,220,909,879,534,882,787,971,579,252,463,774,092,385,
047,750,827,693,925,005,741,354,816,159,395,812,979,523,806,471,818,862,767,
909,652,053,478,547,340,350,501,935,680,433,558,684,273,550,508,892,687,970,
104,049,575,866,486,542,556,085,339,099,540,887,088,162,060,163,755,977,188,
324,674,866,137,094,187,619,746,555,816,400,285,254,096,756,852,969,774,442,
869,412,614,320,275,978,037,237,137,670,836,529,858,301,939,157,657,184,956,
018,102,775,608,517,833,703,189,526,308,913,109,334,150,287,746,949,607,465,
299,447,518,822,024,896,414,277,687,398,806,334,218,137,733,555,666,674,608,
080,040,491,937,752,275,785,584,220,937,649,893,157,862,190,738,695,836,603,
157,802,072,027,522,639,061,817,981,032,112,887,421,418,075,268,410,867,340,
099,597,987,787,135,887,687,428,731,028,505,844,982,345,181,302,298,325,394,
482,732,366,080,775,222,678,672,947,251,804,501,656,270,779,341,853,326,209,
070,839,226,433,226,307,400,890,857,179,589,937,767,739,605,873,070,527,961,
102,241,518,090,933,216,423,436,048,805,547,715,838,960,801,903,762,822,848,
875,381,888,987,943,836,362,973,729,183,515,662,820,633,798,030,944,874,078,
479,480,070,581,690,246,214,117,083,906,739,639,161,455,712,560,165,072,620,
170,243,387,271,319,539,920,804,815,393,751,130,287,181,136,477,846,458,397,
192,580,078,958,659,451,414,038,733,909,631,315,527,503,782,080,985,002,327,
637,410,180,316,264,055,768,104,798,046,674,305,803,034,127,407,092,340,651,
907,254,750,807,382,497,188,094,088,189,938,738,350,606,496,743,353,465,031,
312,324,416,699,935,417,817,454,507,717,161,000,252,459,033,637,885,524,510,
512,680,296,237,204,951,571,180,854,573,869,146,056,218,112,841,020,895,260,
168,874,535,708,718,304,014,150,123,547,680,936,962,778,925,500,858,342,508,
058,968,884,816,487,830,379,241,772,079,611,417,303,910,040,890,471,955,289,
846,258,198,804,710,871,564,168,481,904,967,564,835,861,769,760,029,682,980,
445,629,218,593,062,893,684,616,961,891,260,069,780,060,439,098,805,990,264,
147,723,654,988,505,357,838,003,158,573,225,861,092,952,215,607,526,060,892,
778,884,423,975,056,133,093,983,444,025,210,308,958,005,556,114,991,052,538,
884,867,202,119,874,043,814,853,567,893,258,559,913,627,043,047,103,562,607,
552,655,159,190,452,176,877,376,981,572,314,838,772,351,328,985,857,025,767,
994,853,134,618,554,051,852,032,207,252,514,463,161,735,276,883,410,940,081,
582,897,211,032,841,455,158,011,502,086,449,962,813,808,164,155,126,814,022,
208,839,167,524,678,403,248,389,592,147,202,394,315,507,361,503,880,914,453,
742,381,810,487,269,410,922,497,562,131,980,757,979,588,638,026,019,521,787,
324,550,207,433,425,882,480,596,277,603,072,356,133,742,383,304,092,031,430,
914,618,675,187,143,093,360,707,175,043,735,235,763,170,044,204,601,910,083,
421,180,658,071,782,404,664,418,667,203,217,343,568,421,830,138,621,320,142,
553,532,841,830,606,295,460,009,321,739,015,272,606,283,070,400,495,987,414,
701,850,245,709,820,570,334,210,415,280,573,185,670,626,213,378,737,312,926,
661,943,402,313,710,608,154,361,567,567,774,376,635,021,290,171,087,304,776,
524,276,480,739,494,304,933,865,713,040,083,653,605,457,878,015,322,713,059,
862,206,516,735,517,594,683,446,623,517,653,519,520,660,610,690,933,070,014,
963,867,297,720,314,793,031,919,650,677,497,083,732,855,922,963,243,519,223,
153,020,138,694,321,021,762,165,846,325,603,376,758,777,376,339,908,299,812,
176,159,564,413,390,369,379,411,471,145,350,663,141,213,377,639,636,907,500,
429,602,588,649,853,553,503,319,773,086,673,891,555,967,871,194,717,475,141,
991,429,636,273,966,644,855,493,324,724,709,636,365,686,746,073,486,111,893,
061,734,450,303,897,906,317,236,180,184,128,082,692,142,309,397,247,629,448,
922,148,673,575,564,117,047,973,002,043,581,808,819,237,929,475,203,984,480,
587,331,292,029,950,901,713,362,192,989,907,143,935,924,790,094,968,449,432,
415,201,703,113,879,221,653,015,279,582,768,113,894,917,379,712,568,405,662,
310,519,127,265,912,137,305,526,503,654,691,589,943,479,816,356,505,629,910,
148,345,353,827,989,850,802,292,661,667,882,465,669,446,670,807,416,236,313,
223,242,114,478,370,690,953,776,030,410,705,443,379,094,389,577,510,985,629,
091,318,458,799,451,580,702,726,562,694,490,455,772,569,439,734,251,671,638,
122,303,401,901,908,518,223,670,324,485,813,257,370,683,543,642,656,980,070,
636,971,560,182,217,223,852,160,774,102,765,624,410,152,485,555,084,027,368,
213,908,304,490,618,059,642,157,631,446,984,904,165,367,325,822,004,035,674,
507,038,586,542,804,239,427,172,030,292,321,415,329,056,354,374,340,233,942,
946,739,207,527,028,710,187,126,517,536,329,137,287,943,634,792,132,638,937,
244,106,868,997,412,238,575,873,807,778,368,909,467,624,029,846,347,389,632,
372,684,927,336,655,648,023,970,805,953,057,101,250,419,822,324,692,567,627,
167,168,984,296,763,534,292,033,624,416,337,576,816,052,127,563,364,914,271,
550,663,947,915,069,789,317,727,257,924,230,396,453,292,292,643,274,876,634,
137,953,745,028,262,609,052,128,196,053,168,951,938,482,723,841,644,371,922,
909,386,717,324,153,091,780,467,878,713,808,787,450,716,204,935,493,878,326,
949,761,699,953,877,913,514,088,875,440,962,759,972,902,811,899,978,638,758,
838,793,074,279,257,964,800,278,915,312,590,122,102,391,453,360,978,541,277,
990,279,070,888,891,644,046,856,422,740,305,827,132,551,130,870,534,953,499,
923,685,041,507,099,690,195,293,932,513,318,960,290,847,909,372,623,671,147,
470,627,285,821,907,871,224,515,842,351,195,317,653,084,671,255,539,152,595,
438,665,587,811,470,148,848,729,573,532,542,304,846,853,443,907,500,596,764,
643,160,541,980,623,571,605,122,182,501,738,980,036,303,258,726,860,681,871,
912,666,045,397,281,839,401,717,964,863,634,094,831,368,909,708,176,304,887,
116,507,594,477,645,434,291,527,262,822,312,545,997,777,977,663,123,560,704,
002,477,098,814,425,217,579,739,432,873,662,976,966,978,156,742,453,406,731,
480,128,835,602,603,541,502,286,097,411,377,766,864,859,588,827,248,644,087,
252,811,212,095,641,201,543,754,288,955,615,755,750,944,223,243,352,222,397,
718,448,254,920,880,001,118,383,750,039,472,034,379,736,526,030,119,450,891,
318,801,433,363,057,356,901,658,331,686,649,772,672,954,462,406,989,875,623,
222,182,366,855,534,039,867,061,581,421,033,498,119,316,818,936,902,538,674,
970,013,390,370,682,198,717,698,684,862,179,896,645,072,442,547,439,348,920,
993,151,373,098,712,981,264,880,306,139,872,458,033,288,735,964,049,067,897,
208,828,088,034,329,073,481,203,778,903,614,776,147,449,792,808,018,827,242,
192,382,216,279,883,104,966,133,310,595,358,046,467,217,018,669,472,341,920,
505,432,418,534,149,758,597,636,530,818,055,372,404,209,958,573,400,540,543,
511,143,393,384,950,065,103,998,275,576,282,852,960,339,998,790,805,085,202,
374,718,922,028,104,209,084,459,442,094,992,125,439,243,221,990,868,879,807,
290,748,970,891,562,982,833,923,367,437,152,998,977,089,600,248,591,360,782,
288,923,655,161,216,484,177,701,925,119,171,724,810,872,294,371,860,518,894,
828,071,754,876,424,577,670,557,601,752,488,629,922,072,394,831,108,835,178,
283,313,900,271,368,277,194,215,994,259,738,790,447,922,937,048,635,175,620,
185,355,669,660,277,358,783,243,012,565,411,092,256,032,601,857,847,497,543,
981,581,954,961,664,477,153,645,144,816,129,961,028,913,377,890,144,414,937,
278,736,432,270,601,404,927,555,238,315,549,763,913,754,127,997,657,623,307,
090,793,057,686,567,523,172,190,660,640,385,497,738,101,285,540,269,323,184,
211,850,385,681,046,127,194,443,568,626,813,995,924,656,513,198,097,730,155,
092,936,205,912,182,923,327,167,480,094,930,509,501,254,008,646,403,901,380,
266,572,700,798,076,692,059,499,849,578,766,632,180,997,659,089,337,447,844,
676,114,342,355,877,030,768,721,776,103,476,255,955,420,252,400,683,492,436,
220,174,597,058,975,622,734,796,861,106,950,096,686,211,886,957,278,659,464,
300,027,292,877,388,355,887,354,303,425,982,369,833,549,514,816,015,446,046,
429,464,915,442,348,999,459,789,045,700,557,700,501,334,317,938,159,543,169,
885,268,930,573,054,229,136,397,151,050,914,837,163,748,991,808,751,744,057,
207,806,341,334,911,041,612,618,392,386,492,549,336,619,230,723,223,550,937,
303,532,490,490,882,968,717,837,578,696,169,823,359,791,360,684,725,510,535,
101,633,649,119,404,232,763,248,515,416,008,947,398,473,484,134,996,066,869,
724,719,670,487,251,909,112,517,475,166,391,984,118,903,860,103,014,371,440,
620,304,398,229,981,104,230,340,593,127,073,573,167,799,070,106,057,325,408,
548,801,705,471,036,233,768,477,222,701,617,584,859,436,635,592,419,110,331,
694,549,044,948,530,898,494,376,843,271,813,854,358,382,653,077,649,075,092,
257,590,056,539,164,811,524,676,775,494,039,184,771,564,155,775,662,322,397,
341,586,553,507,967,142,139,179,200,835,307,121,346,285,702,051,904,214,449,
238,636,306,574,024,216,752,723,292,660,970,790,310,063,471,049,267,245,425,
325,372,814,336,878,790,758,435,644,467,542,764,965,965,542,644,141,607,022,
851,177,275,094,305,862,438,079,085,123,548,335,122,239,545,051,467,575,328,
357,308,505,517,205,035,703,506,374,754,697,935,155,374,485,933,091,730,735,
333,897,722,580,641,608,218,037,904,564,859,745,268,467,608,442,168,069,472,
728,672,025,769,727,880,209,214,049,846,885,495,523,699,572,923,738,915,761,
316,182,528,289,807,094,155,618,981,525,152,902,357,311,577,277,555,028,087,
783,906,090,501,155,199,758,591,406,425,062,731,549,271,367,519,623,404,162,
511,853,121,958,849,914,436,237,439,003,540,918,698,500,203,740,356,237,916,
087,895,320,984,615,009,729,939,813,544,271,123,324,349,697,696,722,805,699,
454,730,332,682,236,628,547,202,973,237,816,125,988,263,192,136,680,394,178,
041,573,479,040,302,346,485,777,139,614,637,855,550,575,090,729,555,712,912,
034,766,146,500,611,859,869,569,368,823,969,955,722,192,189,333,084,449,320,
967,356,265,038,370,900,618,979,395,274,068,248,835,247,361,297,766,182,727,
490,155,059,571,588,652,538,658,143,458,679,886,348,796,122,026,869,442,018,
955,575,976,006,836,149,097,100,553,985,126,443,964,114,747,768,647,721,822,
680,443,723,382,666,718,311,057,651,094,391,916,120,576,098,628,571,293,419,
124,933,491,717,830,587,979,621,509,654,126,205,889,529,482,562,142,139,559,
108,410,549,660,477,588,139,847,926,007,136,841,592,856,407,075,673,752,795,
234,658,585,496,193,241,043,226,014,235,596,486,292,990,989,672,496,980,910,
243,761,152,924,382,642,675,830,478,831,504,014,394,714,686,875,894,505,501,
880,387,531,596,762,099,113,687,907,251,396,839,753,956,911,733,520,172,826,
134,474,018,941,831,287,719,959,066,653,623,385,814,946,066,539,725,319,576,
708,079,882,282,695,669,180,639,292,545,720,576,869,818,799,785,430,966,320,
404,430,651,125,549,753,129,397,016,460,736,944,137,080,859,177,193,804,409,
279,466,255,811,018,107,814,230,589,119,083,496,489,576,324,017,599,129,906,
666,287,351,630,990,004,084,217,359,142,686,519,483,783,527,880,466,341,431,
373,560,034,891,007,980,111,618,350,471,999,529,247,935,672,274,546,354,001,
124,332,650,005,925,458,898,315,224,759,577,193,871,967,975,544,259,878,719,
806,974,047,853,887,472,785,786,842,392,119,448,043,682,562,217,336,564,459,
837,898,008,939,225,482,164,319,356,435,791,886,584,147,608,472,815,242,810,
181,775,000,351,599,901,405,717,884,001,517,459,457,424,511,175,965,468,768,
270,994,450,580,422,702,727,030,963,696,358,868,656,499,728,458,941,927,689,
537,059,834,916,971,038,952,479,900,399,572,616,621,190,179,834,780,485,990,
581,571,336,172,221,716,935,393,436,765,961,308,111,631,178,092,197,608,293,
667,881,842,891,499,526,946,803,758,499,445,825,703,225,533,654,160,069,607,
440,846,677,780,279,337,393,964,785,963,445,819,285,633,976,035,102,334,728,
281,765,670,248,960,563,135,150,792,021,814,025,956,984,509,804,623,130,043,
826,011,696,934,367,603,794,289,233,596,712,517,193,276,465,519,326,222,643,
227,184,576,834,480,626,001,186,459,080,541,854,728,393,504,477,974,281,297,
870,059,689,674,267,238,860,011,503,114,955,917,223,844,072,303,670,400,079,
351,599,713,403,775,613,024,582,690,633,937,207,063,137,961,074,419,953,101,
465,367,800,977,448,911,666,698,504,652,483,330,321,919,811,847,063,575,579,
132,608,682,235,317,777,147,221,774,974,761,367,110,775,356,173,719,837,506,
058,891,146,737,519,084,967,679,829,718,411,001,482,803,310,098,117,344,736,
536,916,817,566,760,606,389,724,330,238,988,945,056,752,073,999,977,763,934,
449,741,279,686,462,341,411,701,633,703,814,537,239,782,930,365,240,434,972,
293,986,803,278,035,705,693,034,781,342,829,766,726,300,182,076,504,514,476,
030,572,128,031,383,709,317,769,879,552,210,527,966,481,593,800,241,351,266,
027,545,835,255,492,548,397,620,623,273,607,117,714,918,002,830,860,796,392,
209,845,488,752,029,272,054,414,015,860,666,192,305,155,288,530,969,945,598,
119,457,460,845,608,935,212,312,432,851,447,981,188,829,497,550,644,824,007,
382,108,050,556,960,497,104,706,735,867,854,146,755,214,067,075,031,058,475,
074,507,766,874,955,558,785,943,232,547,843,786,048,679,069,485,530,035,275,
236,212,885,220,557,366,648,265,044,874,023,255,326,561,924,726,180,458,313,
283,465,166,999,170,708,608,795,489,479,605,834,932,106,058,091,925,108,640,
619,605,826,796,008,145,805,384,039,474,945,006,971,551,148,661,506,349,763,
144,334,520,107,032,637,467,397,079,588,697,354,022,302,958,767,208,036,287,
003,483,172,371,131,004,691,289,034,726,164,891,471,980,395,264,608,176,662,
447,730,630,545,884,351,551,257,114,129,291,344,253,998,520,593,341,582,934,
932,937,969,220,329,062,162,728,801,457,615,474,875,900,799,430,286,105,956,
809,574,334,172,947,932,798,374,913,358,979,425,726,141,182,079,237,253,434,
680,864,475,396,715,810,991,028,272,198,260,570,281,293,272,640,602,953,982,
228,449,026,325,538,918,645,757,190,041,706,844,472,240,524,280,628,000,901,
013,885,828,261,633,145,571,222,464,022,082,184,120,548,579,974,292,732,416,
707,750,393,309,297,949,005,196,841,872,536,323,137,637,077,287,195,125,013,
825,071,936,631,515,416,775,856,353,366,889,957,366,213,770,812,067,213,076,
012,242,856,667,437,098,590,960,648,153,521,855,052,516,479,008,947,778,442,
553,460,997,185,788,826,862,475,560,884,535,988,314,499,024,328,748,436,038,
919,549,881,427,029,575,935,098,438,909,531,204,308,420,721,165,656,934,772,
611,810,032,708,469,848,232,878,917,898,303,173,589,304,898,912,654,347,911,
229,341,345,392,126,244,742,036,177,699,061,548,346,822,684,558,602,342,435,
079,974,170,622,154,192,919,632,594,010,422,101,629,104,683,409,574,696,563,
559,690,301,219,928,415,158,576,059,431,840,364,265,670,665,338,435,762,107,
415,244,117,836,058,124,524,898,883,951,151,052,098,422,605,902,779,997,953,
980,730,625,432,730,607,672,516,637,716,393,667,959,702,405,828,727,413,579,
089,186,354,117,895,731,981,729,337,211,487,489,068,208,280,740,269,525,943,
568,168,377,924,770,825,161,212,546,334,824,511,238,415,361,993,392,399,636,
199,073,049,919,972,355,758,528,562,251,212,806,859,960,826,413,973,644,139,
689,748,181,821,502,646,190,409,007,942,590,900,963,495,212,561,625,142,299,
506,766,401,943,491,079,472,465,653,375,112,559,634,534,910,963,628,284,653,
213,568,487,825,455,095,582,825,684,491,567,638,654,372,638,779,104,372,809,
890,753,281,508,035,621,093,921,641,473,494,384,211,837,696,028,148,209,955,
060,786,329,589,762,657,277,232,595,718,029,698,831,158,412,282,357,021,046,
431,843,235,329,693,906,444,255,443,397,698,393,870,647,482,162,185,785,888,
440,112,214,701,902,948,406,063,354,863,271,318,623,072,188,577,215,191,631,
473,937,678,516,908,988,312,733,999,495,858,236,444,706,731,197,543,444,795,
454,085,774,150,826,250,620,603,392,651,234,705,182,520,108,244,293,329,018,
935,019,864,919,117,064,709,569,553,215,005,425,715,619,160,766,149,262,145,
158,896,429,842,523,659,337,117,179,463,210,961,081,398,283,931,076,619,511,
983,251,691,263,400,545,038,772,663,918,717,804,236,238,921,731,286,860,781,
360,281,598,273,267,609,960,679,360,889,835,787,665,471,439,358,655,728,565,
928,362,099,657,810,207,992,329,657,125,785,557,938,183,171,053,333,593,611,
841,445,886,673,337,453,550,069,095,165,021,378,416,550,591,046,190,117,247,
247,140,563,462,567,800,464,976,156,263,095,817,727,754,690,524,634,361,231,
792,446,504,463,189,467,388,532,468,203,638,454,820,142,751,661,737,298,102,
741,594,289,886,383,928,420,946,224,505,267,085,247,541,236,911,569,393,751,
070,780,078,726,639,965,272,832,243,050,034,863,381,118,425,855,442,550,429,
927,738,858,072,910,673,555,198,138,817,125,575,568,605,541,463,409,374,623,
947,373,224,888,512,729,745,667,322,980,759,512,491,167,654,891,083,434,260,
228,160,442,589,005,491,438,969,484,060,450,991,518,470,966,278,934,098,977,
498,688,797,516,351,158,074,933,241,717,566,335,129,770,098,505,821,078,024,
486,273,267,643,429,233,778,091,140,754,275,649,777,160,905,676,460,065,275,
742,956,088,576,562,697,736,501,736,982,067,671,950,668,591,194,548,502,849,
776,999,287,940,488,564,164,839,523,168,073,753,439,382,032,929,059,200,804,
308,696,209,976,080,661,962,104,243,962,151,295,781,815,783,726,140,912,510,
093,080,624,626,922,989,702,500,736,729,299,503,066,994,640,895,111,780,996,
173,442,602,012,800,153,507,528,576,154,766,269,258,140,033,623,929,697,681,
677,416,164,638,258,039,940,197,535,643,427,033,684,530,264,744,102,518,511,
213,781,211,590,686,851,875,534,804,734,701,794,611,938,565,731,559,937,202,
894,984,911,335,148,003,021,524,687,177,054,180,115,930,632,242,641,038,818,
722,565,092,088,381,048,592,053,478,812,210,430,475,215,340,553,924,539,400,
770,835,792,197,054,054,117,770,250,490,998,365,343,812,405,028,750,194,320,
630,902,687,552,361,163,055,552,466,551,787,428,824,059,099,073,118,202,111,
763,221,354,678,693,713,010,648,630,564,156,353,702,374,067,658,630,036,398,
310,272,113,376,261,848,811,985,286,845,789,084,383,395,727,212,456,810,920,
609,555,276,276,065,378,272,221,961,108,165,046,697,729,936,770,770,023,657,
504,410,813,901,231,232,203,573,686,072,187,368,537,658,262,136,963,227,747,
927,064,357,909,131,624,897,171,777,116,522,999,991,063,989,278,146,855,915,
756,884,450,777,449,198,056,323,280,783,002,117,914,479,228,117,486,707,002,
937,614,138,710,241,949,280,520,461,266,465,093,986,723,168,612,877,125,253,
111,418,213,963,309,776,884,411,129,898,662,005,737,213,016,124,230,194,260,
153,484,168,644,894,045,193,447,646,614,142,091,628,531,061,507,523,861,877,
972,294,820,690,860,657,260,619,694,816,197,098,186,809,012,319,205,348,043,
149,678,015,773,393,718,313,819,744,884,535,253,511,746,897,168,256,317,242,
757,494,744,575,455,058,272,540,024,874,588,078,296,800,513,258,130,738,971,
247,231,993,203,618,867,760,105,690,229,255,441,381,616,998,906,186,598,559,
443,270,841,631,208,406,460,987,388,471,437,322,807,303,648,702,605,854,916,
897,710,951,174,229,158,645,313,028,016,666,179,047,491,456,384,750,440,990,
354,471,210,360,601,261,653,142,440,051,938,558,884,795,423,034,113,300,939,
020,722,190,972,479,215,313,688,192,927,815,255,623,768,138,514,677,282,002,
747,366,560,938,594,718,768,578,060,244,248,736,210,462,644,551,816,819,096,
590,086,635,895,347,396,779,763,724,008,277,549,597,186,432,651,076,282,670,
843,678,491,667,555,265,588,674,478,929,142,301,604,790,443,261,368,432,430,
301,862,151,608,446,466,267,515,710,984,568,925,638,426,884,443,324,070,161,
948,379,438,897,195,799,107,305,883,917,798,708,345,156,577,840,047,618,888,
902,247,286,243,453,341,793,479,259,247,875,350,121,511,438,168,083,962,531,
465,231,005,146,420,471,435,731,239,786,573,864,114,833,148,388,241,064,173,
139,322,285,043,735,313,371,670,263,656,378,272,517,382,785,969,016,700,485,
920,894,275,182,094,851,944,035,821,478,541,440,240,607,663,803,641,723,211,
547,815,837,011,789,625,042,133,157,720,786,248,742,459,333,402,834,303,819,
704,260,002,385,680,224,631,347,297,026,769,528,633,184,841,401,823,021,756,
352,284,485,277,972,247,887,093,730,741,107,672,428,769,609,834,833,167,479,
506,570,114,935,931,173,244,777,285,162,002,660,996,764,055,814,080,653,258,
308,988,995,721,559,315,182,067,128,947,540,371,648,648,170,785,203,525,075,
279,936,987,022,647,292,968,781,077,140,737,502,669,861,101,676,499,052,483,
262,825,041,487,255,806,137,042,815,879,511,135,170,428,043,515,434,543,872,
843,834,448,733,940,673,253,444,452,404,679,106,384,945,430,979,959,587,798,
139,766,992,619,873,463,988,292,807,413,255,131,468,737,871,847,206,514,741,
559,695,252,984,034,308,419,676,151,388,818,012,755,943,261,837,840,057,441,
859,911,903,903,606,143,427,516,081,273,168,062,740,627,352,414,618,104,442,
577,574,142,605,963,717,975,853,646,546,454,590,339,893,229,543,694,115,097,
344,566,059,872,840,191,786,398,307,736,120,827,895,535,959,307,384,961,342,
178,869,614,960,321,191,217,446,185,530,097,252,698,281,306,458,639,962,007,
431,007,925,120,948,388,022,358,355,343,621,755,930,107,670,408,304,433,616,
585,863,057,693,795,408,713,072,547,036,098,853,247,454,149,325,183,959,684,
302,323,139,695,754,830,417,565,755,365,131,747,726,186,913,707,394,698,849,
349,197,594,789,394,169,558,174,573,788,121,648,421,241,789,406,365,687,973,
119,556,506,467,587,905,795,708,857,291,133,378,794,967,278,356,865,768,556,
823,288,331,249,572,264,972,140,914,669,897,592,014,543,100,812,671,702,599,
058,231,637,828,760,890,453,564,704,097,307,195,234,691,717,094,466,420,908,
554,667,510,689,553,688,127,198,969,625,978,328,785,566,392,141,236,787,360,
069,591,430,751,802,531,390,065,550,851,651,127,069,366,672,728,888,180,865,
407,755,922,054,169,936,954,010,618,892,130,107,891,748,510,807,233,642,842,
006,534,974,762,364,251,498,596,556,542,581,317,211,885,292,706,172,359,261,
308,147,362,540,427,502,066,938,267,023,644,581,905,623,983,566,800,563,995,
125,483,172,333,184,618,955,320,767,177,680,744,410,614,545,082,226,685,145,
862,208,079,889,369,909,962,640,994,565,784,938,056,285,610,316,284,653,143,
835,201,014,869,648,160,278,215,826,208,564,500,793,909,955,341,058,964,440,
842,769,701,522,760,748,754,175,783,450,352,872,502,182,284,111,978,523,803,
712,555,858,234,290,771,653,993,787,359,378,855,756,447,983,531,748,057,516,
779,160,669,114,594,867,096,776,866,172,432,152,322,008,886,453,163,323,723,
541,386,794,861,144,667,308,185,474,730,602,478,991,016,593,430,619,410,734,
311,269,183,881,475,197,918,881,098,067,250,739,270,438,539,369,350,732,770,
637,939,733,297,045,948,637,455,214,703,378,382,568,908,957,616,298,619,570,
268,897,342,123,266,922,061,874,494,258,527,712,601,805,532,410,697,175,129,
820,557,590,219,786,322,315,826,031,125,921,946,130,612,193,029,256,223,072,
201,276,814,494,521,509,865,846,899,782,079,941,938,475,862,378,283,229,071,
075,899,015,332,908,241,657,287,899,336,578,021,190,827,460,576,443,508,654,
183,053,644,622,278,997,687,180,543,587,252,725,349,282,738,514,132,142,353,
044,502,269,224,423,873,510,042,372,472,207,853,438,904,838,113,661,918,596,
529,052,600,651,472,262,988,071,130,407,843,548,677,390,003,617,170,173,245,
779,689,428,092,990,410,265,552,088,651,873,344,112,808,754,154,573,922,015,
837,677,135,213,317,454,105,279,236,012,331,783,796,036,803,344,571,038,281,
121,954,132,056,849,965,848,980,826,369,303,374,980,819,713,045,718,669,964,
500,807,754,071,966,550,705,052,629,396,639,086,245,958,381,032,937,855,515,
875,807,288,452,388,435,888,272,549,986,486,110,695,535,162,245,094,861,240,
442,255,672,865,260,300,535,559,862,480,553,346,156,300,583,288,585,331,904,
915,036,175,385,442,553,795,854,882,545,230,466,966,363,899,173,457,352,203,
290,401,035,130,897,182,413,513,630,103,826,307,100,079,662,565,387,416,150,
088,904,166,172,381,541,643,869,756,140,643,059,905,495,329,555,227,464,259,
157,531,162,868,737,226,769,499,294,469,345,260,683,672,541,083,861,481,288,
525,479,380,856,003,544,354,200,769,487,374,599,419,555,514,222,401,194,249,
060,712,019,539,647,722,940,884,154,763,197,976,628,386,422,743,438,880,278,
233,429,911,406,661,487,453,790,944,402,125,481,005,374,611,598,555,224,374,
690,053,362,198,073,644,136,958,562,884,409,004,814,067,271,658,964,576,221,
300,585,255,701,360,158,257,621,843,092,658,337,471,340,093,528,479,279,756,
125,117,640,904,479,471,195,965,424,316,865,139,009,664,476,470,198,643,787,
614,037,030,677,735,475,500,458,056,937,199,270,937,180,166,649,078,190,001,
576,854,334,992,014,866,486,557,783,620,258,181,503,095,411,944,095,933,571,
531,685,471,324,144,180,554,441,218,729,121,653,361,973,399,743,925,382,371,
597,467,562,633,938,616,009,096,041,096,210,472,334,094,238,560,315,540,387,
776,703,604,673,908,349,534,786,325,096,837,431,620,614,735,133,188,021,162,
611,012,020,438,448,838,763,484,252,812,741,201,139,257,652,485,968,786,132,
370,997,747,280,907,016,618,190,892,160,634,557,885,145,347,687,462,301,660,
671,615,420,841,914,480,538,808,507,615,484,389,250,389,140,840,063,822,445,
374,347,420,261,760,065,428,180,238,863,302,613,365,396,300,057,621,489,428,
059,157,536,094,664,941,335,521,819,993,897,470,917,928,118,680,789,271,518,
314,767,743,677,214,934,409,181,706,528,985,655,030,480,041,279,023,005,948,
559,738,998,427,736,973,634,293,398,405,344,944,253,085,749,883,951,557,246,
580,165,948,702,685,914,796,511,096,164,105,319,282,798,973,760,592,037,248,
912,935,213,592,647,462,118,441,652,476,638,732,376,552,892,721,783,076,276,
352,908,599,659,145,536,849,474,284,432,941,939,701,771,991,225,967,980,177,
180,866,850,846,789,580,577,554,756,729,610,348,994,128,293,221,514,021,666,
694,295,074,916,256,439,380,445,983,401,060,077,163,679,941,319,895,366,813,
837,849,544,167,742,919,006,359,983,216,851,006,772,736,926,895,580,076,995,
093,653,479,603,279,362,252,761,480,015,539,934,300,654,050,726,070,534,098,
593,961,024,068,344,894,573,019,931,608,316,770,988,305,476,567,984,436,772,
455,690,514,175,851,319,209,564,162,594,140,613,636,950,299,932,094,907,780,
367,442,374,297,231,777,819,924,499,810,472,672,750,189,753,600,050,947,215,
014,566,592,342,704,023,673,145,365,623,361,641,638,748,220,756,065,722,736,
338,006,734,133,584,842,949,831,766,162,982,518,661,622,387,203,394,163,005,
836,301,304,888,722,909,130,989,970,771,037,749,497,149,075,675,194,508,563,
104,622,139,652,214,015,108,127,382,571,497,232,257,522,359,049,998,960,136,
615,598,054,627,483,676,827,295,692,973,020,261,040,249,092,130,841,397,847,
904,130,723,137,422,811,431,890,251,276,483,541,101,139,230,529,096,642,562,
967,448,010,614,827,263,625,342,552,165,467,720,155,918,686,730,295,013,786,
187,873,298,896,819,203,545,114,821,147,773,441,835,999,070,373,485,256,463,
454,130,327,639,227,566,171,679,223,286,138,785,529,383,990,711,993,867,008,
973,028,154,149,267,784,309,256,661,326,858,226,890,438,420,402,435,847,474,
580,783,233,712,640,581,411,160,783,414,161,017,665,321,731,438,208,844,978,
289,504,506,026,618,441,827,790,896,795,203,429,444,470,330,649,653,448,841,
106,789,623,525,562,375,979,886,287,534,717,254,618,698,626,590,865,643,342,
934,460,533,562,842,117,306,380,886,649,119,722,769,662,771,577,198,427,025,
254,241,177,038,781,973,119,851,617,526,847,766,152,552,948,633,985,975,897,
389,015,410,251,337,479,474,218,992,554,198,125,655,560,042,441,848,405,506,
931,950,565,638,877,711,523,553,674,021,670,782,748,145,044,002,441,602,451,
531,915,234,596,965,813,173,802,977,854,424,521,906,219,716,712,789,970,606,
855,338,281,112,198,758,665,132,801,009,398,754,580,402,504,568,978,925,868,
801,476,638,286,907,896,752,785,711,841,857,413,840,058,569,146,395,390,125,
664,443,500,629,981,441,451,487,223,883,156,684,280,402,382,855,232,991,906,
019,680,511,759,476,118,680,275,843,352,069,207,667,279,950,597,300,788,816,
708,577,813,103,899,844,142,737,773,271,320,934,060,781,125,697,013,939,491,
829,387,947,382,689,372,681,726,286,379,799,624,616,396,209,417,220,034,212,
540,781,277,212,509,092,570,867,005,770,446,537,007,424,297,010,400,034,159,
739,512,848,682,935,936,101,914,431,067,825,311,787,615,835,812,996,141,153,
917,500,688,653,711,557,188,090,831,012,132,162,430,812,031,475,379,667,885,
268,755,845,033,116,265,104,770,900,069,342,485,051,024,613,938,738,731,307,
636,775,024,368,635,418,448,340,068,358,171,490,580,927,718,931,575,560,199,
859,263,163,540,790,639,981,438,278,806,928,662,711,241,828,455,289,385,584,
930,276,872,724,451,707,155,434,196,065,006,186,971,039,007,157,727,482,121,
753,600,495,527,918,463,587,862,805,018,879,834,582,176,535,761,244,643,094,
009,478,820,930,517,230,435,828,689,097,056,384,185,145,247,861,748,533,657,
776,156,267,456,213,176,100,778,290,001,584,112,341,991,881,633,911,935,917,
874,176,634,755,166,998,383,312,531,473,161,868,614,607,433,336,764,610,229,
602,713,412,347,822,572,615,905,481,903,530,180,047,070,051,767,758,499,751,
652,442,697,727,139,134,718,640,451,517,999,030,188,144,929,492,440,546,067,
575,038,600,171,026,948,648,327,514,566,119,102,674,936,335,744,882,559,702,
055,178,829,973,571,939,116,534,724,911,777,348,508,014,862,883,220,834,200,
638,444,249,250,845,083,008,574,549,459,795,601,229,651,892,221,763,486,591,
697,850,306,435,756,626,576,854,749,650,857,186,792,533,103,828,825,702,270,
807,997,364,102,752,848,044,307,497,852,521,763,252,631,703,646,784,460,209,
302,919,073,846,726,041,126,304,278,832,047,107,034,586,568,184,757,966,138,
224,810,736,704,373,275,813,290,286,405,935,429,940,917,409,329,526,919,212,
480,966,767,876,843,859,736,764,914,470,137,891,779,041,248,875,464,997,834,
561,172,477,214,694,757,907,633,673,173,706,365,459,077,071,918,462,941,979,
504,004,178,462,334,418,278,877,613,653,902,873,490,545,064,473,866,843,428,
771,453,252,686,316,986,084,594,343,621,233,162,264,406,845,882,007,165,531,
758,140,470,303,451,329,564,232,335,841,936,840,144,109,585,614,211,185,086,
481,659,166,989,109,009,399,823,456,812,552,687,172,999,396,024,804,598,949,
860,468,080,635,731,652,164,710,675,649,500,598,667,856,380,180,970,692,080,
122,528,155,669,379,781,079,665,493,454,575,748,592,760,478,163,620,835,592,
522,610,762,593,115,125,492,757,589,654,486,017,242,340,566,674,935,962,474,
089,375,777,753,115,271,529,903,729,937,158,440,190,979,892,474,266,967,045,
575,146,926,958,699,975,445,481,155,432,185,139,218,545,086,087,079,499,367,
271,942,724,826,000,333,709,329,319,357,270,139,035,799,039,554,594,151,908,
874,900,404,024,701,848,187,679,234,626,741,672,684,958,611,249,509,134,852,
069,410,904,806,351,661,167,543,384,229,149,725,092,072,001,652,962,331,367,
680,488,077,810,831,214,219,713,393,241,589,119,618,776,227,588,956,278,772,
375,124,673,521,955,919,347,141,062,780,280,340,085,142,906,047,793,626,318,
457,665,744,148,898,634,068,979,912,944,741,194,565,855,543,185,528,185,950,
351,625,461,131,679,463,288,497,411,415,372,998,462,464,280,272,385,533,062,
515,203,130,095,001,487,117,481,427,268,101,410,917,678,473,422,407,661,618,
212,177,506,168,440,958,382,153,895,735,858,256,531,295,970,981,385,141,954,
374,689,228,671,051,542,570,383,203,647,866,944,469,569,393,034,029,581,128,
722,611,278,867,624,296,999,844,023,710,207,186,281,355,565,933,287,520,189,
483,135,738,120,069,283,709,025,206,793,924,751,675,266,739,200,130,115,924,
955,331,473,849,061,434,344,925,801,942,332,795,982,847,537,196,173,422,467,
520,374,569,742,157,392,568,499,599,556,854,200,805,896,317,787,186,690,579,
559,528,579,411,133,663,487,719,554,151,766,958,790,818,443,477,411,786,658,
591,721,865,899,233,473,616,786,002,722,963,985,042,747,178,738,824,026,668,
214,667,729,161,563,789,015,174,028,956,094,540,726,152,835,282,454,905,712,
992,114,481,367,471,393,140,732,551,391,531,542,222,309,926,098,978,118,296,
271,019,798,509,210,278,329,922,508,630,908,584,094,824,769,964,594,287,550,
937,197,881,962,320,623,153,292,690,490,984,923,763,845,037,907,431,082,885,
594,728,109,504,828,467,033,733,676,465,597,876,020,864,692,384,238,718,302,
491,710,227,932,140,937,362,365,676,731,618,628,149,063,257,796,936,153,792,
896,040,539,196,187,117,615,975,202,568,591,917,015,403,973,598,792,639,722,
126,024,338,422,644,565,243,305,224,568,155,853,802,446,815,582,920,531,761,
018,318,979,812,176,043,739,571,392,717,602,069,034,196,014,315,737,097,972,
744,955,307,544,578,979,440,139,506,378,930,300,607,372,034,069,991,443,773,
388,632,740,415,836,463,246,197,409,936,258,255,719,154,864,814,968,793,393,
815,110,825,172,524,681,696,513,304,579,143,502,697,997,440,928,968,353,523,
371,628,949,727,710,051,259,074,641,648,030,222,070,249,706,989,151,927,352,
588,910,542,314,311,942,869,437,612,120,604,352,196,745,938,365,966,776,722,
864,258,288,146,567,208,971,334,985,958,187,863,182,768,627,037,592,875,611,
549,245,464,834,965,832,834,162,481,854,087,895,794,965,044,372,004,883,354,
135,235,066,305,135,441,366,176,380,232,983,277,948,454,004,848,569,012,236,
646,598,125,646,704,845,824,051,002,648,968,269,359,050,662,451,834,435,631,
082,528,990,877,230,980,968,643,141,404,367,998,165,180,921,661,386,008,779,
180,453,541,718,532,585,080,902,480,372,940,630,616,282,427,699,274,827,996,
431,110,221,395,195,494,680,902,240,213,494,848,874,583,949,160,298,736,728,
002,336,003,786,970,398,890,169,250,525,384,927,215,366,425,558,495,063,912,
341,268,548,735,458,562,420,654,218,746,991,430,116,867,066,779,844,052,043,
192,389,776,095,256,672,200,518,187,225,778,029,782,348,369,522,411,171,368,
842,583,422,250,418,347,648,490,604,030,756,201,571,023,837,404,962,759,475,
563,189,909,537,207,194,071,229,696,354,425,624,321,209,771,910,421,677,633,
897,624,545,147,889,352,326,322,635,937,122,824,542,503,769,393,299,394,948,
912,876,186,090,993,979,259,622,061,233,613,708,403,810,410,445,133,831,625,
916,928,824,767,909,645,861,407,493,526,840,370,292,010,865,713,478,279,566,
053,505,541,154,769,904,176,484,560,680,258,177,022,432,386,444,616,251,627,
886,217,933,944,337,121,115,528,661,605,181,850,202,997,944,355,580,213,203,
530,573,452,247,477,808,184,862,682,904,730,695,727,708,862,428,134,913,683,
340,219,809,657,966,128,321,113,000,535,835,923,566,662,998,034,968,542,535,
823,526,249,303,943,961,684,226,476,771,228,199,663,914,158,058,361,767,596,
143,400,621,964,004,116,037,369,502,193,913,041,243,561,430,694,623,510,648,
475,391,042,328,223,289,362,185,327,833,658,848,182,273,624,446,530,191,348,
640,093,754,720,733,726,284,477,245,560,139,272,699,096,091,262,547,335,883,
315,463,522,240,759,341,149,369,209,408,669,369,334,613,561,078,763,493,924,
706,184,519,230,305,307,025,014,609,213,528,101,136,702,918,713,442,050,090,
669,469,178,931,168,572,617,622,624,671,872,612,485,703,731,547,426,532,367,
609,851,165,260,049,149,547,550,180,900,179,264,153,199,012,190,586,933,835,
704,821,800,584,220,197,197,598,951,881,430,030,871,087,735,093,703,596,939,
019,610,618,864,794,196,634,652,000,225,449,812,348,313,203,084,196,493,034,
326,565,549,621,190,443,123,592,212,643,679,475,266,152,373,914,306,183,912,
557,853,428,378,297,613,389,341,729,105,331,713,543,218,292,990,875,321,843,
307,977,438,605,107,420,716,565,838,778,827,352,462,278,908,249,489,625,884,
413,618,240,429,968,114,953,064,337,199,608,437,667,276,730,847,550,686,177,
597,643,329,366,714,912,154,276,328,161,189,021,655,243,832,046,314,548,627,
156,080,576,469,778,185,703,879,227,535,062,508,235,158,690,662,211,767,924,
485,195,127,685,020,597,968,029,570,546,748,419,257,524,446,874,052,668,153,
872,393,054,187,104,288,565,975,190,312,375,304,923,869,166,782,212,420,385,
513,496,142,769,187,244,253,828,762,410,505,705,500,568,045,812,646,841,556,
898,986,295,008,077,630,314,891,705,741,000,539,594,033,096,657,541,707,725,
142,731,665,445,623,819,831,688,601,329,011,279,237,288,608,369,524,021,632,
343,644,380,717,805,797,631,358,805,872,571,260,295,218,582,679,601,433,140,
510,391,918,291,395,104,768,727,913,520,724,546,493,847,350,243,643,314,764,
888,464,500,941,525,450,113,255,093,081,037,268,449,332,133,769,627,336,968,
091,139,635,709,941,233,681,996,139,418,558,224,993,237,367,126,253,132,528,
994,169,916,756,005,081,494,724,629,793,652,372,850,083,165,661,229,674,696,
768,683,261,767,449,353,679,094,003,476,524,170,594,750,114,385,972,169,016,
683,147,798,499,719,417,759,361,117,256,961,801,102,320,449,129,629,248,903,
757,388,061,092,908,060,825,414,024,731,420,564,482,977,577,491,733,513,692,
555,685,539,997,159,016,378,752,326,139,845,700,574,738,982,306,721,962,123,
593,131,665,025,239,951,470,828,529,190,915,468,681,716,587,797,513,854,381,
336,023,532,672,554,557,459,146,125,785,071,803,805,278,722,792,115,091,289,
256,212,431,004,662,194,189,472,724,062,289,188,087,013,104,979,354,988,722,
508,288,252,664,500,367,013,355,941,366,946,850,257,644,712,707,886,452,546,
027,908,139,395,175,152,307,619,986,468,783,539,304,003,267,281,949,230,701,
902,353,656,901,466,752,724,294,920,574,771,140,591,465,717,943,041,926,652,
303,210,954,757,659,628,368,416,403,868,257,520,552,414,967,165,649,048,674,
550,490,212,905,228,349,225,760,408,560,633,624,155,739,386,387,655,413,209,
585,938,015,676,951,183,237,567,987,631,467,487,505,509,714,906,530,758,901,
630,768,907,678,649,610,887,028,297,095,428,612,884,035,607,859,674,547,721,
965,717,760,622,676,691,806,057,571,215,705,510,351,442,051,200,200,788,404,
397,027,055,213,345,867,076,163,070,198,760,356,848,607,634,918,226,773,531,
798,912,066,549,287,638,843,764,783,062,921,473,268,120,169,038,346,554,184,
539,803,644,966,717,058,670,390,179,081,814,726,846,985,184,073,680,324,192,
430,404,794,910,985,409,456,171,926,170,733,321,893,117,398,555,978,770,650,
632,384,324,776,731,324,564,303,187,618,842,108,857,958,666,110,385,601,812,
993,648,937,332,805,040,308,163,965,194,396,080,961,098,597,754,880,655,671,
685,043,366,242,174,011,204,673,892,487,987,595,488,198,701,062,141,928,438,
124,092,973,464,416,307,991,622,398,540,716,904,477,387,124,415,148,926,669,
429,564,260,839,148,522,756,344,883,255,587,392,117,363,381,302,972,594,372,
926,012,916,056,776,276,453,961,708,977,871,253,633,529,862,408,985,212,342,
419,404,401,098,337,366,146,968,190,581,461,191,216,372,083,772,375,905,865,
755,642,229,698,087,215,231,035,773,548,897,517,263,420,866,971,613,954,165,
639,748,405,596,971,882,167,227,527,260,373,204,952,797,504,230,077,795,489,
429,735,315,923,407,616,425,677,936,986,129,292,093,923,686,996,881,325,968,
895,451,846,117,271,624,728,144,491,469,322,039,058,650,571,130,197,275,795,
142,728,147,776,385,464,703,471,590,314,559,017,088,110,855,361,021,583,479,
261,967,834,517,290,547,663,967,602,498,729,632,116,613,190,491,819,315,101,
410,144,339,502,047,050,537,526,656,355,447,663,213,913,965,309,684,806,027,
429,196,218,864,713,681,784,070,865,476,782,239,743,786,705,619,934,113,500,
268,081,154,967,177,304,332,299,755,096,293,676,021,138,230,620,862,555,198,
360,060,723,300,049,157,905,131,856,710,475,109,070,756,768,960,243,145,944,
508,782,352,787,032,621,312,096,681,865,906,695,997,299,595,718,572,091,360,
007,363,329,023,194,099,579,143,477,626,153,791,922,167,261,902,458,954,045,
957,946,339,013,414,956,412,891,169,226,102,752,841,240,293,628,503,840,560,
306,280,375,506,136,318,115,164,513,639,208,785,821,534,564,752,172,951,207,
741,204,170,938,575,171,675,324,104,408,676,368,331,588,386,286,569,015,564,
802,922,964,418,141,497,890,128,289,209,115,347,433,580,216,352,594,598,212,
294,332,967,579,815,698,096,308,406,503,229,703,889,507,979,681,832,198,389,
873,440,807,606,564,164,563,680,011,726,002,793,477,784,005,038,509,452,612,
652,219,627,947,762,566,907,705,060,828,181,503,721,543,155,103,637,954,519,
848,168,881,558,828,469,853,732,174,119,957,979,296,166,052,176,718,625,008,
287,944,225,051,504,781,755,366,303,327,699,577,347,351,871,923,618,214,312,
698,410,123,865,099,552,535,066,710,432,071,914,362,250,659,400,026,129,597,
425,746,515,485,843,881,766,716,239,605,656,756,466,521,125,366,052,713,719,
620,255,824,551,637,703,798,924,160,077,285,114,253,879,240,738,665,758,942,
819,278,253,282,183,108,157,101,642,488,720,806,962,971,735,689,159,652,296,
770,737,718,187,385,349,598,911,249,803,893,922,790,154,442,939,538,936,308,
547,993,165,904,197,419,880,328,359,774,750,009,883,352,003,774,158,984,323,
143,001,992,863,768,151,556,452,941,369,851,246,301,394,325,879,265,555,433,
286,154,359,252,404,632,430,612,952,556,381,953,629,252,688,359,780,414,930,
334,656,589,310,368,532,688,500,348,638,728,379,676,115,006,053,362,073,640,
837,539,407,304,811,465,022,393,068,933,997,219,281,461,979,967,243,262,979,
893,988,689,044,522,783,739,573,733,726,808,504,019,281,169,713,384,153,536,
523,390,688,977,267,556,260,661,028,193,370,599,784,248,975,245,569,717,791,
466,693,848,298,727,359,499,506,440,553,098,608,645,748,856,063,661,922,940,
507,695,709,361,209,127,979,250,676,672,400,301,328,779,540,389,484,868,008,
281,057,263,815,319,603,720,850,606,121,740,769,637,643,981,111,814,321,577,
395,110,648,740,038,658,623,691,313,931,649,339,031,391,321,164,911,860,266,
737,052,678,487,698,162,695,981,469,662,421,901,086,403,346,505,493,969,522,
589,948,130,509,264,821,905,737,557,758,765,910,262,077,662,908,825,229,637,
339,586,764,166,823,275,219,231,524,732,673,592,669,790,977,509,903,485,173,
128,246,019,208,482,548,558,500,421,430,006,613,114,645,239,128,904,396,269,
970,146,453,175,503,647,326,111,850,730,491,002,612,935,643,365,882,677,522,
294,564,452,727,887,196,433,293,659,082,433,093,145,957,543,468,128,596,950,
388,475,626,338,444,661,381,552,054,767,881,469,346,158,334,302,405,540,302,
156,810,152,218,577,423,156,507,195,108,501,097,513,334,757,744,301,315,748,
592,228,317,001,509,659,514,513,116,531,939,230,246,831,558,468,190,661,803,
005,113,797,712,133,930,509,072,112,280,266,596,668,935,685,108,717,385,821,
586,447,340,604,088,776,267,924,974,008,034,133,977,633,613,624,741,481,965,
867,116,426,946,568,789,063,229,354,701,722,679,601,875,411,245,658,721,412,
237,355,875,419,294,253,970,564,199,415,554,019,309,333,195,055,765,539,947,
772,459,565,009,385,211,590,914,079,112,291,211,575,692,788,691,897,601,613,
266,252,690,956,382,317,805,053,869,693,407,496,463,714,095,049,186,841,259,
711,237,064,447,709,105,838,989,283,310,219,774,888,483,170,706,919,783,866,
518,278,235,667,303,899,320,308,097,939,147,044,845,771,671,906,889,929,261,
334,973,556,579,531,535,003,051,282,918,283,221,856,427,120,740,940,784,168,
825,033,528,912,724,240,848,726,080,353,374,166,258,933,324,588,179,163,755,
674,043,563,072,375,646,800,730,895,084,674,061,365,752,391,109,994,827,876,
284,442,722,484,456,250,018,810,457,776,030,635,118,662,000,563,243,053,599,
423,805,568,600,069,380,897,043,593,535,006,192,650,884,421,161,762,772,731,
343,607,487,745,450,631,502,976,005,319,514,132,622,538,690,865,398,157,618,
059,567,287,528,547,986,824,004,846,672,368,517,671,451,664,052,845,225,697,
406,445,727,351,312,946,971,302,975,242,570,605,021,194,083,903,412,905,759,
011,952,978,196,151,886,065,825,024,793,446,862,080,356,331,112,067,307,619,
410,607,513,251,405,646,644,350,889,940,204,552,779,443,030,780,868,869,914,
469,945,974,209,725,540,217,694,372,604,127,864,410,532,323,450,835,237,482,
952,175,364,854,356,318,955,480,366,911,156,956,778,716,725,759,425,594,828,
001,115,561,720,556,907,746,809,496,597,475,703,736,531,588,624,050,581,270,
934,641,560,010,536,610,215,093,530,108,413,671,188,842,602,680,510,001,086,
016,184,261,464,715,032,574,647,430,479,654,437,504,546,864,505,495,558,648,
629,805,453,538,797,655,338,708,819,041,486,794,368,858,852,188,951,251,106,
477,063,043,253,343,915,408,274,686,202,328,027,941,896,803,639,539,808,902,
791,920,366,313,911,609,395,058,896,499,337,019,706,955,644,218,897,490,185,
719,219,261,145,070,617,527,014,501,807,745,649,541,493,316,024,920,135,788,
292,371,037,602,172,767,551,041,438,009,156,161,452,714,940,473,216,903,812,
190,703,219,932,230,104,807,905,704,691,577,160,053,253,092,979,055,610,964,
906,023,434,257,572,702,681,438,753,564,361,682,017,668,748,920,042,040,979,
131,575,310,294,501,971,824,798,118,023,623,909,297,586,011,718,705,742,809,
424,397,530,399,244,845,222,109,821,988,116,155,626,718,245,655,755,462,755,
293,977,858,257,890,387,961,440,062,926,620,965,120,631,446,468,751,090,249,
135,187,438,110,459,836,233,521,384,711,233,225,070,628,654,313,497,809,181,
338,231,812,585,813,732,535,204,857,490,241,365,037,769,260,254,780,502,795,
369,793,916,406,508,897,234,997,437,898,189,232,382,395,398,944,149,475,280,
249,178,148,636,549,931,781,006,964,979,763,641,127,908,826,887,459,507,493,
416,798,873,870,477,811,646,115,754,119,355,487,232,419,814,004,737,829,527,
165,559,842,881,326,567,416,376,115,560,779,620,997,946,816,542,190,505,995,
782,791,716,106,447,363,306,183,027,418,538,021,405,829,241,217,480,598,274,
907,938,066,539,796,730,772,533,491,286,490,642,936,051,702,650,638,880,751,
779,538,658,395,731,766,619,327,655,713,321,660,899,518,087,788,523,169,019,
510,844,630,285,445,408,551,949,887,137,578,176,124,188,323,618,090,923,964,
619,457,790,942,670,330,602,771,811,798,360,520,735,203,655,103,881,122,164,
029,949,027,763,558,175,432,990,024,202,131,870,524,167,731,854,519,488,813,
298,874,876,317,045,886,134,413,506,246,499,773,466,220,546,136,970,298,881,
708,073,853,650,256,227,254,613,842,693,680,747,126,365,269,331,756,796,265,
864,114,312,461,118,427,077,701,889,220,765,377,726,529,258,004,711,913,431,
057,023,150,749,440,517,049,090,516,065,656,961,424,324,715,996,288,301,265,
574,216,633,832,136,637,982,794,882,072,353,108,869,398,674,428,198,843,058,
466,454,734,070,767,313,602,613,558,943,828,741,373,220,061,143,532,326,716,
116,463,056,774,780,135,407,391,569,672,670,488,069,336,373,173,248,222,889,
527,346,031,534,858,378,103,626,161,826,986,212,484,054,701,476,530,257,538,
082,760,712,334,797,109,408,338,387,021,944,167,249,019,667,216,586,908,936,
435,306,497,738,834,162,850,916,537,331,586,057,300,218,715,258,447,681,808,
489,597,015,535,944,306,608,252,165,112,761,022,781,398,362,390,756,963,235,
249,031,904,800,899,173,087,604,999,210,689,768,777,987,588,544,611,429,632,
513,464,760,698,961,125,544,689,917,620,580,808,889,232,191,084,116,513,402,
836,661,674,425,332,822,224,760,672,478,286,350,438,979,778,557,101,840,538,
258,495,638,763,432,423,599,870,626,919,484,169,822,101,589,976,704,923,432,
918,534,488,481,960,124,901,059,785,410,193,120,206,434,120,631,507,571,867,
699,077,831,334,456,892,969,673,879,404,903,812,285,220,026,080,818,415,995,
020,178,216,770,697,047,251,342,474,737,284,265,946,541,302,596,521,458,151,
861,031,472,807,653,431,115,974,142,570,805,577,258,919,715,243,624,807,803,
821,693,404,780,411,271,615,163,157,586,979,788,160,069,888,673,398,624,624,
683,229,560,939,545,549,912,391,317,791,486,771,576,918,907,040,142,564,949,
503,286,763,052,431,237,225,702,967,765,661,570,945,501,755,915,026,304,325,
937,778,335,762,038,198,780,897,789,173,644,189,647,920,270,496,217,558,567,
964,077,010,134,948,130,043,521,766,829,064,929,941,045,648,105,743,958,398,
695,283,766,184,141,818,312,074,798,967,277,503,519,778,924,045,290,395,026,
355,365,826,007,847,704,290,166,605,999,193,850,509,354,467,162,736,440,184,
225,163,473,585,965,280,306,565,958,820,076,176,991,206,279,256,668,592,900,
497,536,233,996,225,242,171,037,727,724,488,588,659,074,726,623,530,332,050,
387,236,094,925,725,819,870,107,251,973,466,050,551,972,849,820,397,772,332,
446,870,924,734,956,145,482,463,454,157,083,606,564,738,883,492,603,885,039,
960,743,799,544,990,408,897,570,628,698,967,548,398,779,111,094,177,147,739,
046,794,077,875,460,798,049,616,798,128,157,418,093,414,012,278,396,403,998,
216,768,315,888,067,477,207,241,579,090,069,169,289,038,297,875,460,567,351,
361,542,857,933,520,057,094,127,568,198,606,361,109,641,054,736,797,463,534,
436,534,238,656,807,010,024,806,663,984,970,568,737,145,742,538,355,198,101,
301,313,133,108,600,728,325,500,228,241,391,719,753,856,813,195,077,422,652,
105,901,206,903,476,590,647,878,273,100,649,565,791,061,594,957,059,413,008,
549,677,046,897,609,956,868,622,442,564,693,009,228,975,858,321,263,872,160,
429,338,402,484,511,531,105,821,833,290,930,128,692,914,863,940,912,987,969,
986,641,954,349,981,146,447,690,771,000,361,356,126,744,871,777,869,508,262,
839,422,968,551,327,546,998,211,388,605,404,353,847,115,543,382,099,868,080,
909,641,457,550,602,327,338,490,855,801,803,449,708,308,405,959,653,329,533,
635,460,824,708,633,964,209,278,330,655,702,787,596,860,528,865,473,577,173,
113,110,450,006,390,703,399,852,106,630,774,072,701,327,998,229,042,402,383,
218,570,365,168,424,238,294,878,709,783,393,517,460,835,991,469,906,722,296,
071,226,313,477,320,911,750,341,193,256,319,148,209,003,509,537,017,049,004,
412,597,389,044,660,066,701,734,753,787,578,644,456,585,786,747,881,602,593,
332,110,620,735,951,678,181,836,745,984,693,556,722,091,498,252,544,718,218,
673,740,717,687,934,588,624,066,685,511,311,662,187,270,591,833,342,247,737,
524,141,583,025,496,244,965,580,482,401,926,898,609,538,742,459,003,877,703,
278,365,845,368,368,950,313,663,693,430,269,857,827,747,211,050,810,142,999,
476,540,564,073,705,611,045,408,080,407,559,321,273,702,124,441,624,948,061,
825,175,217,165,336,060,008,941,581,116,860,175,310,785,289,547,451,222,397,
318,455,882,626,908,117,787,563,438,801,020,270,588,400,487,453,872,752,195,
879,054,925,114,182,804,867,350,456,281,286,245,268,386,884,162,088,392,721,
932,795,338,230,673,385,050,705,341,971,708,406,751,167,530,281,742,033,607,
272,758,252,484,429,448,271,757,583,850,735,183,842,989,631,284,645,145,928,
903,071,538,666,583,335,235,840,050,938,386,283,719,760,546,219,481,177,602,
444,069,683,552,378,502,757,856,920,755,781,707,500,418,779,440,251,265,050,
152,101,005,952,521,841,582,661,446,781,565,212,690,648,939,075,726,816,179,
120,561,919,704,406,945,681,400,746,221,162,864,675,190,019,239,154,224,557,
694,267,894,424,976,782,561,387,882,462,142,299,092,294,259,340,518,529,343,
574,999,836,403,668,593,106,806,610,945,920,550,412,926,330,938,496,403,607,
033,781,518,091,491,237,296,076,664,150,155,178,647,747,965,346,849,856,524,
068,778,888,782,783,283,837,533,054,939,535,677,465,847,127,284,977,044,981,
896,321,897,767,664,022,785,216,447,505,475,656,614,479,412,379,354,102,011,
756,799,866,359,218,472,096,843,022,599,926,660,254,297,059,001,733,050,707,
323,700,747,572,959,277,430,182,583,573,914,409,481,906,759,181,376,787,378,
513,661,433,152,010,175,519,230,558,557,604,123,696,991,182,712,059,802,934,
138,225,589,860,615,080,434,594,017,020,792,928,357,716,564,720,367,886,821,
839,206,517,192,436,296,816,950,950,724,459,882,686,440,722,429,296,231,166,
326,647,414,559,470,656,959,702,014,648,086,429,033,959,687,559,120,544,635,
069,870,097,060,300,033,874,857,534,615,038,287,020,446,555,717,651,695,794,
581,435,207,773,966,475,419,486,992,389,049,481,845,636,177,281,976,696,497,
415,423,812,802,278,094,342,940,203,847,759,402,271,768,341,999,755,671,560,
812,158,932,272,910,298,148,473,920,239,974,280,839,829,844,154,065,240,689,
088,311,570,764,884,992,524,729,680,555,058,816,997,017,472,613,545,355,196,
310,989,793,601,715,252,844,703,787,106,202,168,089,014,750,614,966,996,620,
660,366,514,520,510,180,158,152,643,828,407,500,171,040,446,649,142,061,683,
787,282,947,881,094,034,376,486,210,880,609,135,241,112,826,019,659,106,186,
179,532,914,613,032,989,861,536,678,397,742,452,511,199,225,456,594,520,286,
802,390,701,928,169,982,901,948,320,420,340,159,564,472,875,047,389,351,065,
976,537,786,149,935,584,662,889,381,580,578,365,623,806,845,027,959,186,428,
572,593,678,441,265,650,854,232,593,765,737,447,390,539,426,490,056,533,345,
630,050,694,804,665,765,617,998,120,259,788,582,846,100,485,768,046,011,215,
063,601,258,316,742,880,319,951,804,499,215,067,200,781,386,640,123,793,195,
634,550,741,378,412,183,885,549,293,488,595,008,961,901,002,549,132,251,751,
299,360,312,856,321,123,290,674,327,922,600,604,466,201,602,361,933,214,115,
347,222,402,798,225,358,894,602,397,310,644,093,591,183,490,211,716,780,462,
958,133,399,474,274,430,212,411,068,910,439,054,697,815,811,220,416,444,980,
477,027,939,392,568,357,077,884,283,194,893,541,825,128,406,927,546,118,622,
815,964,499,052,979,080,535,614,869,186,102,366,359,537,439,813,534,679,167,
860,443,433,848,205,702,968,049,380,155,329,657,372,950,081,315,957,573,785,
010,083,627,075,814,692,415,882,548,337,667,104,345,339,961,342,300,850,885,
837,912,464,830,695,651,774,747,695,231,806,516,421,765,570,547,348,894,757,
564,831,452,840,312,112,285,706,288,441,548,714,122,984,739,529,882,615,411,
145,753,288,369,687,780,844,787,541,331,779,405,416,529,567,395,327,482,513,
177,463,908,504,696,877,417,587,701,471,192,671,752,450,625,523,323,521,651,
316,098,962,491,310,222,646,956,871,706,118,617,986,142,197,821,106,353,504,
196,218,557,652,885,240,515,936,874,391,242,732,749,157,353,427,432,243,557,
566,735,492,043,042,845,660,427,825,830,418,398,451,783,389,988,155,568,887,
005,114,851,239,936,078,743,023,954,151,749,417,771,352,047,976,345,115,730,
117,083,236,245,533,403,761,987,693,833,359,127,575,169,763,104,275,824,383,
918,671,391,153,586,621,021,636,744,822,026,833,241,628,127,037,340,767,030,
194,399,600,459,710,562,001,229,840,481,828,618,075,386,835,858,807,388,686,
510,320,911,884,488,795,853,028,493,297,576,413,464,748,208,208,805,241,566,
573,986,337,598,049,170,077,477,597,337,115,450,414,967,555,385,408,253,574,
066,693,118,222,475,999,263,218,800,906,349,286,501,645,485,247,220,546,531,
810,360,673,929,095,731,687,256,888,918,354,456,855,015,400,787,514,078,954,
840,227,395,547,955,132,004,636,540,567,120,218,208,419,432,132,199,350,928,
546,431,686,519,626,413,143,652,719,860,669,917,632,857,901,892,382,313,891,
085,442,626,943,194,002,089,993,387,886,225,341,419,786,332,623,092,638,529,
224,995,871,241,536,212,593,705,854,712,753,123,476,113,646,847,739,549,382,
030,155,571,614,224,794,960,992,935,010,545,083,777,413,071,821,235,041,083,
546,075,540,760,448,761,801,742,859,258,510,818,532,435,559,696,242,236,266,
992,885,168,919,767,064,506,792,653,987,954,117,065,968,791,123,130,830,737,
554,245,468,112,933,693,222,746,668,785,150,190,796,730,389,499,825,977,488,
736,032,326,897,859,030,505,532,724,699,835,714,550,137,877,828,837,359,645,
613,531,058,641,565,184,289,587,582,460,110,751,373,119,018,222,283,217,670,
733,186,787,122,080,599,001,791,924,878,591,688,436,328,915,672,006,141,831,
144,557,738,532,081,487,154,495,815,724,588,704,759,240,867,472,639,499,761,
294,720,576,470,251,021,585,731,552,851,271,989,344,808,918,511,845,387,415,
548,565,830,315,910,987,638,277,795,800,581,418,874,215,501,249,837,435,269,
367,126,543,476,424,806,434,200,149,701,013,263,327,688,335,889,257,985,181,
496,414,520,237,049,766,844,939,250,627,852,677,536,753,098,160,271,698,022,
000,370,446,397,504,233,353,381,973,240,939,340,362,025,585,105,881,960,618,
841,494,748,961,851,621,275,212,660,347,223,865,172,046,957,951,168,126,302,
647,790,267,928,981,619,988,021,711,493,553,602,431,920,399,369,045,894,836,
977,626,056,635,794,390,656,030,104,552,120,888,202,247,135,281,154,102,572,
816,722,890,992,023,853,346,387,171,941,395,851,456,233,525,354,857,544,491,
031,181,199,140,891,919,065,051,780,039,083,770,078,990,705,619,850,922,495,
069,237,788,370,933,171,938,126,203,175,376,642,332,093,237,649,701,522,469,
479,289,569,971,353,555,858,414,474,035,932,189,335,004,920,086,109,461,566,
485,380,502,284,924,968,876,979,146,681,003,920,301,912,187,445,931,613,908,
237,160,204,595,391,911,916,185,184,441,352,180,573,722,329,674,690,923,222,
916,510,821,359,727,915,906,178,489,208,718,744,116,593,023,474,695,900,466,
288,947,268,133,563,933,731,566,684,386,320,422,400,008,447,071,556,575,025,
797,792,450,844,668,898,922,576,040,362,800,495,549,007,467,784,634,061,174,
571,360,735,647,302,918,259,626,417,869,031,598,653,053,926,035,429,776,069,
759,055,394,930,587,256,124,145,470,994,327,012,431,069,604,814,877,299,242,
034,935,722,442,276,716,055,952,810,809,594,108,260,778,402,550,296,249,112,
021,911,381,704,304,204,257,660,552,177,924,687,847,540,657,418,568,493,613,
530,550,594,415,035,182,093,752,378,974,620,483,840,780,750,275,820,226,047,
597,232,923,696,286,151,980,218,044,963,201,828,717,595,468,582,359,224,433,
919,073,181,207,325,841,163,284,680,351,290,139,432,310,173,657,957,757,429,
763,156,302,176,559,604,923,401,604,399,374,723,898,745,574,315,437,946,707,
772,177,679,702,696,202,070,614,906,964,830,541,187,976,687,606,894,261,749,
249,329,192,588,322,004,634,653,466,939,721,523,129,569,544,011,792,579,947,
665,616,593,402,524,023,791,957,510,787,097,302,901,342,475,516,338,517,679,
249,676,468,397,458,540,790,651,563,572,966,651,254,446,023,703,413,364,134,
560,443,852,037,956,805,705,768,386,167,759,422,028,148,802,492,180,093,665,
488,376,935,048,123,156,663,038,760,547,019,128,008,941,651,361,501,345,825,
537,481,039,064,328,932,022,203,476,007,648,250,816,440,531,117,618,654,910,
564,928,212,475,804,796,552,844,786,572,892,955,278,235,514,078,841,026,210,
450,090,169,910,475,771,967,099,220,842,220,594,707,200,179,271,671,345,712,
996,851,139,490,471,267,336,964,822,987,058,409,743,507,537,092,239,984,325,
115,268,342,334,894,120,597,414,323,235,109,824,141,912,127,363,837,886,116,
885,637,783,379,739,404,158,066,651,092,981,900,886,075,493,208,997,137,069,
090,255,153,815,472,630,973,317,458,621,435,493,562,595,907,551,487,410,952,
740,287,363,201,957,993,055,462,659,103,161,028,363,998,557,489,705,762,104,
904,103,716,367,623,072,207,086,530,817,964,728,180,165,874,451,644,574,230,
562,329,343,951,559,726,667,727,223,800,557,719,297,538,995,762,735,613,910,
526,822,441,239,832,534,529,429,191,483,589,402,822,443,232,557,392,768,863,
077,708,209,909,704,497,849,520,039,172,842,270,108,015,712,715,722,831,177,
848,817,758,420,120,673,761,242,604,981,784,172,846,147,178,109,334,087,259,
792,607,691,969,678,426,829,846,309,700,277,514,310,413,859,475,819,783,454,
812,264,892,889,625,431,084,388,128,702,287,577,179,516,938,811,698,926,747,
037,384,414,955,017,476,787,528,566,242,462,909,041,574,406,388,716,766,701,
138,722,209,350,572,771,360,082,311,119,691,587,724,885,599,563,854,362,672,
239,901,092,833,999,574,335,675,264,400,132,742,318,627,299,409,770,637,006,
182,214,706,772,257,078,001,791,037,282,222,303,321,263,780,527,599,681,678,
558,228,408,246,426,254,297,334,576,922,761,181,329,939,234,344,852,897,335,
192,854,740,835,300,547,949,351,951,515,412,221,105,399,900,860,082,933,358,
984,149,023,736,186,037,979,398,954,065,750,471,913,496,888,184,619,476,452,
544,243,970,769,813,688,755,030,780,316,787,688,779,741,828,794,182,570,179,
806,746,992,809,600,907,254,824,422,682,864,269,714,883,058,417,338,008,949,
970,603,161,363,862,776,095,135,893,434,306,044,558,030,701,538,992,693,964,
584,596,695,441,144,771,515,734,632,032,962,545,501,402,481,211,156,368,355,
099,839,227,305,125,978,525,265,255,070,184,387,885,876,196,280,949,242,309,
898,158,332,975,726,861,673,322,810,586,889,050,883,504,711,356,194,225,192,
387,233,993,086,218,298,393,693,573,482,074,821,687,418,679,525,913,089,569,
018,198,232,292,065,262,541,979,017,767,498,722,167,597,219,754,814,156,206,
097,070,882,843,071,846,994,983,933,430,018,484,998,727,292,556,630,808,428,
990,832,959,258,777,578,267,734,407,523,548,231,962,117,636,433,850,120,298,
652,496,451,420,314,553,969,211,394,439,196,239,405,468,723,473,823,014,857,
931,592,679,039,338,246,391,176,004,645,237,759,256,020,214,374,826,536,317,
105,739,767,588,890,187,326,588,468,621,951,615,305,659,731,889,974,251,392,
629,614,135,009,423,259,461,753,122,836,245,884,403,506,377,207,667,720,726,
654,075,428,983,180,261,963,679,366,548,338,544,614,209,732,116,257,376,826,
343,523,640,629,753,021,400,361,332,325,573,968,208,518,980,755,241,262,458,
499,323,144,267,167,301,265,622,924,726,157,922,638,363,518,925,881,197,612,
825,355,452,178,436,402,118,758,179,014,120,308,506,792,800,145,522,081,933,
423,341,730,697,665,822,432,072,538,376,989,729,893,147,343,901,537,567,556,
818,069,463,599,930,519,566,114,432,249,216,994,236,493,483,776,451,614,408,
431,776,500,719,136,738,397,768,782,740,862,249,360,978,694,179,699,331,517,
914,483,363,060,889,932,055,380,267,387,154,393,325,173,236,370,805,632,509,
408,849,325,254,853,744,803,863,920,950,305,360,275,024,385,399,929,203,235,
065,059,542,412,494,417,444,811,401,917,937,018,350,028,153,452,128,207,209,
134,422,670,350,088,463,658,994,479,450,325,565,418,847,409,284,801,420,866,
635,091,225,635,384,794,430,014,231,614,770,455,911,205,503,713,533,333,003,
953,829,978,394,842,289,039,828,054,991,550,514,852,189,523,779,195,752,915,
852,419,119,514,582,029,317,575,643,840,018,075,985,320,906,165,383,105,668,
989,491,687,635,043,692,392,889,542,604,376,947,041,351,212,492,133,213,358,
386,795,661,846,899,551,369,078,205,861,421,670,630,766,192,233,329,412,071,
571,322,542,733,972,286,299,520,926,791,586,017,163,417,461,998,272,926,266,
135,682,360,919,302,291,547,584,655,982,698,461,810,318,466,029,087,646,458,
588,635,885,660,513,365,362,540,763,714,611,806,508,046,943,859,570,714,403,
572,433,616,403,698,436,903,324,654,576,660,181,818,164,445,433,892,892,344,
872,363,962,429,870,677,298,531,982,986,625,105,375,141,064,850,449,464,142,
437,184,740,099,080,397,418,288,462,497,563,887,188,039,617,466,774,143,033,
402,979,477,708,274,674,812,185,262,145,307,754,181,259,131,254,646,140,885,
129,098,310,574,626,322,687,533,576,255,385,079,285,160,247,835,666,449,340,
505,623,553,138,944,270,312,612,121,668,812,848,521,473,129,091,353,500,922,
890,871,275,316,368,982,572,735,176,424,723,752,399,966,358,644,021,231,658,
097,316,416,120,057,210,832,642,386,783,406,025,848,967,523,637,738,852,623,
908,649,917,652,793,670,942,775,096,575,440,176,657,648,821,908,788,384,002,
391,519,745,818,828,568,812,235,801,622,649,220,309,329,881,272,305,007,376,
884,704,721,879,364,196,687,840,830,917,512,776,737,925,653,162,120,577,417,
905,039,354,194,698,934,867,868,376,534,904,296,352,023,320,860,619,080,124,
363,155,954,793,056,342,549,629,228,896,394,512,922,987,877,869,404,563,619,
453,063,794,087,284,779,730,399,300,278,176,306,545,947,540,764,687,945,499,
373,783,386,786,784,620,680,802,280,334,648,915,929,137,162,950,938,140,844,
952,085,723,131,072,612,304,977,107,767,328,099,823,136,684,996,676,214,552,
359,065,605,475,508,309,139,319,291,402,064,904,486,171,792,053,609,713,272,
609,963,821,613,631,742,424,273,727,913,552,036,172,361,138,935,811,146,100,
104,857,723,230,646,614,143,608,859,529,689,669,899,755,343,577,480,774,689,
654,693,119,483,691,061,051,896,114,616,083,972,929,654,519,508,035,924,257,
531,143,698,598,841,057,077,891,058,961,897,962,205,004,905,961,451,745,920,
508,035,098,793,165,409,666,117,400,571,215,760,987,199,772,185,437,202,811,
485,344,015,565,714,011,336,521,204,360,708,445,384,543,246,344,841,972,653,
639,882,587,381,040,083,595,226,733,530,006,368,653,482,844,663,670,730,252,
102,469,913,764,856,677,178,468,339,975,914,672,254,724,319,867,696,572,007,
556,747,348,315,677,435,292,242,461,714,254,328,947,365,751,641,530,159,192,
773,696,320,615,007,336,749,417,970,375,403,735,098,898,241,711,181,099,337,
744,476,558,919,570,686,644,388,843,805,718,634,498,899,372,219,168,285,118,
574,773,781,495,128,907,936,181,486,685,129,676,853,213,518,139,329,753,616,
081,746,379,704,589,442,136,661,641,848,063,602,543,344,341,622,595,002,688,
636,068,186,481,782,070,445,905,144,710,818,718,876,077,093,851,542,486,470,
905,984,897,162,873,122,096,284,486,246,540,514,157,946,363,821,576,388,571,
666,905,801,983,084,454,023,373,736,148,617,026,181,643,450,942,074,528,875,
507,640,101,254,213,343,903,954,787,687,425,051,458,651,794,534,666,860,091,
100,295,771,914,420,620,557,131,293,153,625,271,645,706,006,650,454,003,112,
718,009,910,260,954,375,851,303,678,323,371,475,957,487,345,741,869,395,212,
490,065,661,262,207,595,440,745,024,703,973,063,077,456,441,261,416,157,959,
586,960,824,715,537,290,686,912,574,176,213,288,202,581,782,216,501,041,923,
217,626,935,859,886,601,422,205,393,669,072,591,251,161,039,763,318,083,546,
169,161,288,583,771,049,709,335,251,922,410,138,486,290,529,366,792,904,313,
308,853,432,181,101,823,587,468,536,870,596,652,132,177,881,230,590,913,808,
431,227,623,472,203,007,465,522,589,321,962,167,243,424,680,272,255,726,425,
967,602,574,746,666,201,141,489,397,657,705,772,731,629,109,580,428,908,328,
929,057,395,166,090,024,421,324,618,542,780,337,209,294,596,434,413,593,623,
667,216,809,438,762,307,150,981,262,324,479,275,204,946,350,641,197,295,860,
151,461,983,312,064,188,600,697,615,786,887,446,164,329,882,459,659,223,318,
489,840,127,108,649,084,224,373,288,884,170,630,489,685,354,557,408,297,640,
698,034,244,932,627,484,045,113,291,756,896,993,325,981,163,169,896,049,817,
425,089,906,331,983,397,487,819,308,371,547,258,047,152,396,545,863,621,684,
193,998,670,086,466,764,577,867,613,852,240,816,396,962,117,476,046,331,515,
314,388,864,483,386,155,716,672,998,896,967,965,570,861,773,373,995,866,069,
940,897,415,331,920,706,634,359,231,274,780,181,870,854,701,377,058,146,691,
203,868,213,183,587,530,443,923,124,621,518,185,093,572,666,272,436,421,226,
844,520,366,133,759,420,812,894,462,614,862,032,671,766,736,800,735,070,026,
220,170,282,255,451,460,824,237,553,820,184,582,079,035,396,795,865,622,583,
558,321,931,943,501,294,094,506,947,552,704,653,917,940,430,998,687,615,450,
903,101,049,502,907,071,997,661,304,315,865,575,634,823,473,252,970,455,027,
183,958,936,726,294,291,505,558,814,456,807,586,685,211,188,781,307,346,494,
584,162,240,600,955,575,473,704,722,924,228,564,417,958,646,634,199,795,232,
830,323,544,425,338,556,045,617,407,142,112,268,571,275,620,316,953,818,809,
788,387,544,297,271,481,390,048,303,633,816,932,565,483,841,038,771,692,950,
670,213,780,445,299,876,219,567,463,325,037,048,256,202,042,479,350,026,805,
285,555,159,376,792,489,664,658,583,971,134,173,586,222,914,950,679,747,925,
355,529,947,237,424,011,830,018,929,186,637,944,204,975,269,790,906,192,345,
696,793,166,120,307,727,914,465,533,219,616,857,975,822,940,606,461,179,691,
938,930,311,826,554,470,926,261,465,295,640,990,307,321,191,744,830,654,087,
963,398,359,664,289,907,829,496,857,538,713,422,285,743,865,147,342,503,987,
899,455,312,690,755,271,207,715,992,429,910,859,118,218,320,461,478,601,521,
339,970,585,434,482,300,578,777,593,936,155,168,170,233,593,036,805,057,291,
656,548,266,910,046,901,647,405,169,308,995,678,509,111,146,286,795,820,330,
527,339,767,667,043,891,638,211,125,404,549,597,081,215,642,123,267,307,497,
367,190,760,624,120,176,630,923,040,876,515,278,059,240,583,961,852,001,896,
888,920,296,722,178,504,240,300,445,943,199,588,894,385,980,940,574,156,138,
701,282,351,922,618,793,237,270,425,357,299,562,665,638,463,679,399,675,034,
830,572,802,277,026,117,903,299,741,590,188,310,109,039,332,480,845,109,801,
881,296,004,227,888,257,252,214,811,936,076,854,050,000,643,749,246,343,164,
195,953,124,780,352,632,425,355,550,678,467,858,273,383,096,709,526,221,961,
028,927,549,764,942,861,366,774,456,657,183,632,837,999,124,688,508,721,725,
464,798,202,605,340,255,954,060,948,466,829,657,459,454,192,987,804,546,485,
954,492,811,498,548,691,636,557,719,097,722,729,398,316,857,766,675,995,879,
861,034,874,897,235,335,098,183,636,298,226,554,540,329,511,539,515,301,913,
513,846,405,672,193,589,948,397,714,840,809,631,146,756,276,187,111,020,145,
697,333,408,424,913,226,829,941,040,242,767,545,178,874,403,752,053,739,074,
931,741,531,721,067,798,807,877,971,300,096,402,894,361,309,595,331,295,122,
698,305,814,053,193,489,989,480,878,299,148,627,130,560,557,591,612,620,531,
841,425,683,065,354,608,012,913,521,063,021,951,046,312,901,153,145,803,785,
892,226,440,298,434,221,413,163,726,684,759,064,584,533,186,400,601,296,104,
833,285,071,405,457,452,210,456,052,175,134,645,490,294,366,888,996,214,385,
375,438,580,416,057,282,120,162,410,106,758,175,933,729,799,328,221,526,890,
536,550,426,428,475,349,670,760,988,628,483,107,599,615,250,221,310,779,047,
531,492,118,111,156,226,049,657,930,591,209,183,361,669,787,397,948,501,732,
422,556,358,788,530,233,766,437,165,255,789,053,133,197,802,966,207,303,698,
409,724,478,776,712,078,927,988,238,020,247,262,933,554,030,004,201,956,579,
918,434,608,280,223,997,769,067,340,742,346,081,290,797,162,611,977,428,750,
566,407,628,518,412,080,184,831,787,708,551,092,574,542,318,786,842,643,073,
778,196,172,173,916,347,686,951,870,240,160,085,548,630,772,705,044,860,717,
301,826,577,564,025,382,660,798,381,749,552,734,549,065,710,163,654,233,201,
945,055,225,561,708,209,651,502,050,677,897,010,013,596,558,545,083,338,124,
782,738,320,558,244,932,477,383,076,283,758,700,469,115,956,851,959,300,230,
180,260,279,630,968,984,519,555,150,287,560,390,521,417,835,400,362,768,554,
210,653,749,503,022,289,934,474,083,723,491,654,423,062,223,244,135,557,832,
828,381,305,092,330,191,822,079,821,181,352,316,056,136,848,705,668,268,878,
813,232,783,848,969,585,419,618,716,563,015,203,729,251,282,459,541,998,450,
463,341,178,709,552,347,029,581,360,792,533,108,526,117,347,401,250,845,242,
400,874,887,934,800,701,002,728,585,608,986,092,379,071,469,605,404,999,041,
880,569,139,352,410,658,825,794,576,561,393,389,424,809,615,249,747,852,805,
684,213,741,862,648,929,594,475,280,259,483,259,115,934,850,201,896,051,642,
908,449,401,965,572,803,998,751,788,202,263,772,339,561,405,266,953,973,572,
452,079,816,036,474,087,048,452,152,694,077,336,251,708,333,129,432,069,783,
969,939,239,099,586,794,875,607,210,661,927,628,751,255,173,611,657,602,533,
837,706,570,950,395,102,986,383,997,820,106,276,148,189,218,972,650,572,523,
173,166,481,784,420,902,889,636,267,788,368,207,133,653,850,335,254,635,391,
763,891,481,899,345,769,084,725,802,807,734,046,276,881,732,116,028,455,207,
813,628,935,768,172,444,753,646,953,648,169,377,997,683,024,657,649,064,330,
889,143,561,178,418,222,128,802,387,739,294,867,107,002,290,279,763,725,360,
823,377,850,946,800,946,108,698,803,194,095,601,677,140,807,375,896,644,190,
895,604,724,106,568,222,482,693,341,811,638,311,157,619,749,670,387,285,435,
852,495,567,842,924,123,980,856,440,921,256,468,845,366,629,744,535,943,449,
713,194,700,706,638,539,399,983,707,648,981,295,442,847,601,978,680,994,236,
174,823,711,473,736,536,720,666,779,858,002,379,291,035,970,085,308,643,528,
673,195,572,284,426,590,849,967,974,130,025,379,960,800,633,572,164,198,845,
214,049,802,144,063,792,761,257,018,975,076,161,178,283,449,203,107,281,045,
120,949,408,328,090,448,372,485,037,408,405,801,175,012,583,048,628,268,304,
041,134,509,693,904,160,003,079,520,777,664,089,571,323,978,410,826,404,413,
333,712,288,230,074,192,239,364,636,904,858,221,066,967,056,095,482,939,929,
053,905,689,692,769,273,365,836,349,168,419,689,006,465,976,157,664,319,739,
132,886,296,454,408,453,649,202,999,638,381,627,372,696,637,915,921,249,794,
065,965,279,530,525,629,739,048,661,140,717,133,286,349,130,622,028,601,627,
352,606,076,931,481,420,421,753,816,025,522,219,913,333,258,065,129,840,026,
644,800,022,681,964,174,622,756,807,137,056,563,289,304,918,611,716,286,161,
278,558,635,046,423,174,706,486,233,623,309,940,660,524,658,223,246,045,525,
735,032,284,922,109,026,188,042,282,331,997,154,987,746,962,757,647,817,762,
279,713,266,583,989,460,642,044,868,623,832,949,019,606,524,622,681,239,234,
978,264,793,797,687,285,400,577,706,579,837,054,154,594,089,235,234,756,631,
137,988,859,335,177,072,512,503,157,434,828,432,999,491,428,904,889,537,586,
594,215,622,324,203,100,083,050,213,452,325,505,447,166,457,279,862,095,662,
187,117,603,167,988,892,554,159,445,420,379,397,858,961,305,491,954,928,564,
733,588,667,917,956,268,285,628,464,207,660,695,019,735,388,444,490,380,611,
774,176,841,246,939,808,400,964,061,757,950,969,281,140,275,033,412,671,741,
010,684,288,907,835,572,465,028,018,348,030,727,903,107,055,199,833,051,781,
825,079,512,356,291,096,541,545,552,617,345,737,459,149,244,092,476,897,683,
723,365,349,697,949,844,161,417,132,608,180,842,869,746,534,132,322,148,119,
191,444,470,771,153,787,472,290,879,412,740,993,548,779,340,554,063,523,820,
007,052,611,761,611,426,820,416,575,724,586,828,438,013,691,999,360,578,512,
926,949,070,221,831,518,364,087,064,087,224,868,167,823,420,704,598,949,936,
763,589,421,268,143,936,919,709,169,572,347,705,343,440,324,118,375,286,857,
797,566,466,598,994,116,149,048,145,805,175,119,434,802,049,114,824,243,389,
311,340,803,960,481,227,771,330,258,195,928,237,656,810,120,145,104,270,658,
052,735,758,869,922,590,440,376,697,592,096,690,886,716,219,372,454,077,123,
076,257,478,439,251,861,722,391,977,213,245,622,610,218,968,026,018,333,975,
034,827,189,751,795,764,095,571,993,580,088,594,552,466,868,137,678,263,957,
733,441,728,791,353,402,877,866,222,393,605,813,373,837,165,940,460,251,992,
232,230,077,363,541,708,774,229,169,418,315,355,724,285,916,453,966,682,817,
881,029,444,725,156,146,356,619,918,132,560,330,780,280,166,155,665,938,094,
635,055,096,735,900,686,575,500,156,744,653,348,816,350,348,583,835,995,746,
902,752,098,842,139,719,116,410,564,406,662,908,126,262,430,164,874,172,373,
404,173,490,800,827,037,123,208,114,208,057,405,451,584,427,407,345,846,065,
020,158,926,354,588,399,491,316,110,010,631,434,298,800,325,068,160,574,191,
843,732,844,401,913,324,940,189,413,725,411,021,381,835,303,202,105,839,170,
262,572,445,507,075,951,898,148,423,696,626,314,166,319,645,149,100,881,252,
778,888,693,863,207,894,268,306,034,250,782,367,851,547,276,759,657,493,054,
358,543,003,893,672,860,126,606,266,594,065,741,097,179,459,422,803,112,700,
628,388,480,844,703,514,182,617,765,150,515,928,639,029,945,285,054,738,301,
961,614,909,530,101,441,116,366,195,237,601,042,382,249,416,848,417,833,165,
095,394,821,419,932,357,211,065,264,299,113,649,920,963,573,202,411,701,893,
901,791,757,456,063,817,781,153,428,102,640,321,034,598,647,953,509,211,401,
685,417,681,078,608,294,803,511,369,776,646,551,377,062,450,143,068,871,521,
706,504,332,730,086,164,135,491,670,690,440,332,944,077,030,514,769,043,235,
261,692,697,855,857,244,038,600,125,492,671,668,968,629,999,333,058,217,291,
473,267,891,673,018,785,714,040,960,666,225,716,708,288,869,804,092,242,500,
958,126,294,697,188,696,000,780,651,699,620,439,336,267,452,502,730,633,141,
420,526,597,061,987,139,383,947,969,726,374,254,690,309,829,777,284,848,096,
756,669,993,074,893,087,928,540,784,512,924,128,158,916,757,274,042,489,488,
494,882,581,732,961,455,779,977,433,233,524,799,068,482,160,121,761,492,954,
181,303,231,318,840,642,394,146,467,070,579,768,139,111,994,251,825,711,859,
515,258,556,518,371,905,155,074,743,796,121,299,657,695,023,990,626,447,333,
077,066,097,746,984,809,535,258,207,899,360,921,590,937,368,711,538,889,209,
816,611,481,513,959,063,193,169,151,882,349,008,897,399,493,163,789,617,221,
880,857,597,409,742,170,602,927,039,096,309,152,583,146,813,517,978,577,481,
528,789,963,924,672,572,067,438,626,235,277,460,782,609,384,451,301,016,841,
025,502,530,542,668,077,522,338,743,404,120,855,458,553,623,618,210,867,658,
487,120,606,025,875,072,990,248,795,344,356,416,948,791,362,274,731,752,444,
484,182,822,961,432,825,598,052,680,490,451,800,621,571,330,397,791,975,846,
490,797,727,287,143,966,257,258,667,066,207,078,214,889,238,057,313,818,774,
089,263,541,036,635,386,211,568,855,841,083,159,750,944,242,462,046,214,804,
218,009,929,138,134,247,114,585,895,486,728,773,761,942,343,672,676,414,492,
610,259,623,619,140,816,234,966,889,574,184,483,068,961,500,385,645,161,338,
024,986,628,303,509,254,822,626,932,959,151,048,075,368,275,318,547,909,399,
601,695,090,494,100,225,241,033,605,378,419,807,960,784,534,152,289,400,139,
142,432,077,163,143,022,721,732,501,712,721,377,236,895,296,339,511,279,340,
970,056,532,628,908,626,111,223,236,299,303,125,792,006,508,291,427,917,147,
771,459,761,183,060,812,433,617,181,270,628,739,750,111,131,285,363,037,692,
445,134,354,469,141,136,267,015,181,762,270,447,046,498,447,586,000,027,848,
971,073,435,668,714,112,488,056,172,332,893,688,244,647,849,960,715,770,271,
955,277,411,393,991,264,354,599,186,813,137,483,960,286,055,580,679,865,771,
066,599,417,489,330,038,799,131,248,130,775,723,031,273,595,271,802,106,579,
416,344,667,412,158,554,218,248,456,116,415,367,892,861,113,082,194,952,967,
714,731,547,906,205,426,924,497,136,219,983,675,159,127,100,873,889,017,421,
978,125,966,595,433,991,045,051,672,176,926,496,605,427,053,880,960,678,476,
728,129,820,695,267,149,131,233,033,563,252,908,980,294,619,844,144,289,086,
586,976,277,476,076,643,030,158,592,944,977,623,496,661,956,965,339,346,067,
161,079,178,704,830,365,432,662,514,868,220,251,606,814,934,913,162,458,154,
449,767,869,549,860,597,913,833,227,480,214,271,067,555,194,660,723,980,072,
799,801,450,530,733,064,542,055,594,482,826,411,220,991,440,248,163,927,131,
208,283,027,002,518,058,050,679,061,312,775,780,382,897,344,464,335,925,808,
794,603,812,960,887,407,011,361,910,025,858,676,665,161,067,629,132,096,767,
971,021,071,581,578,547,308,099,637,110,161,069,949,644,686,283,673,948,629,
664,887,379,951,160,992,738,348,523,755,655,700,460,641,022,757,637,665,812,
348,972,163,879,810,318,627,044,081,960,076,352,079,767,706,660,752,159,417,
714,223,407,806,719,331,055,989,417,299,044,431,595,395,847,134,341,225,125,
288,621,218,967,100,296,075,918,846,614,166,299,339,935,103,427,419,637,761,
038,768,795,828,774,252,380,408,850,183,699,711,670,937,199,242,730,531,881,
744,553,372,208,401,549,178,117,424,166,992,219,859,637,881,749,870,911,733,
615,841,734,241,937,387,894,039,073,315,845,245,422,633,223,638,366,877,276,
515,541,211,832,687,120,871,194,731,874,782,217,922,085,066,311,510,554,878,
515,532,716,491,628,384,666,299,221,005,328,435,618,848,061,140,103,310,569,
946,119,644,253,955,846,157,961,925,959,221,301,434,473,229,149,110,456,993,
107,340,367,468,487,614,876,440,133,791,175,603,420,084,765,485,397,126,121,
350,994,711,865,660,898,350,505,323,135,966,983,290,306,982,987,445,661,784,
140,415,768,950,505,297,374,479,470,926,418,585,338,872,187,091,775,076,544,
388,986,367,048,863,558,586,953,227,723,923,861,787,192,087,235,331,047,382,
983,854,582,181,269,643,303,313,642,560,969,147,646,125,680,955,503,292,564,
754,875,287,825,574,126,286,288,541,897,499,756,662,708,921,901,953,110,561,
614,956,483,582,430,079,556,747,556,852,675,843,158,387,015,412,438,027,091,
317,273,820,560,318,418,059,363,357,395,340,021,499,686,240,158,686,789,318,
733,167,814,825,309,808,865,715,229,173,985,414,571,097,541,764,400,831,341,
613,481,322,092,928,051,777,866,920,062,655,453,789,978,057,754,831,949,639,
406,885,608,660,578,090,748,251,099,003,391,148,163,238,086,675,232,851,804,
386,018,043,858,074,136,142,871,966,146,632,197,807,327,003,220,346,662,754,
401,787,745,199,935,341,365,252,377,533,024,566,814,489,700,847,023,790,086,
855,347,798,069,400,012,291,501,307,542,734,727,736,165,407,292,914,235,093,
979,175,688,167,891,156,145,859,068,946,102,273,420,483,172,473,490,839,060,
811,576,042,994,700,400,945,703,376,108,009,595,451,435,751,672,574,094,181,
313,936,600,588,010,442,095,233,124,521,085,437,448,977,026,042,400,651,371,
581,222,030,792,430,243,985,515,712,687,379,488,603,581,385,779,228,381,559,
729,542,333,896,079,742,380,494,952,250,130,328,357,690,287,982,746,841,709,
274,666,101,081,865,764,737,809,483,218,061,910,546,701,270,438,185,425,801,
430,710,832,658,376,441,051,296,659,308,899,196,763,301,323,390,599,146,676,
542,701,423,617,178,521,424,973,734,410,704,577,551,308,265,734,532,642,248,
529,691,089,158,338,017,185,933,648,378,757,365,466,420,873,389,574,874,438,
498,212,815,168,763,273,096,953,585,445,743,268,279,492,181,849,857,646,374,
392,228,912,080,274,281,882,130,535,942,601,830,919,759,908,836,954,423,697,
487,362,454,598,557,162,825,470,753,132,306,073,656,304,210,303,313,264,067,
214,314,590,230,723,454,230,691,172,303,752,208,536,616,343,740,154,840,468,
221,393,210,134,938,101,756,317,635,307,137,661,660,423,188,637,127,678,462,
621,961,087,594,921,635,663,993,493,191,621,752,176,557,399,009,362,594,252,
449,050,664,350,218,235,771,127,557,484,041,811,756,817,724,200,217,311,012,
909,849,098,651,221,422,529,779,355,734,163,189,859,262,148,447,661,085,453,
265,154,915,060,014,540,697,866,038,668,402,701,287,444,083,379,363,561,854,
151,940,206,455,380,516,967,153,400,366,795,502,173,599,223,874,414,412,298,
435,533,748,262,800,525,130,291,104,758,128,771,759,661,237,014,635,080,603,
888,180,349,722,718,430,556,054,415,992,395,511,328,609,852,964,863,311,581,
802,846,423,644,894,037,009,977,131,554,273,222,665,981,812,665,405,821,138,
081,290,397,309,453,763,223,007,670,629,260,381,542,019,209,681,716,856,059,
121,454,821,317,549,680,134,510,425,339,206,281,718,838,191,561,083,382,170,
983,302,095,055,694,231,234,939,913,542,411,514,289,085,616,737,969,273,587,
003,054,628,755,085,906,549,284,557,825,314,773,392,953,684,976,544,933,783,
116,799,859,912,158,727,811,679,553,171,854,865,834,982,295,511,037,355,291,
717,751,428,002,977,439,968,546,853,659,573,162,273,429,057,598,157,340,878,
748,394,422,660,069,072,116,382,564,319,086,110,391,151,134,826,276,109,902,
851,375,361,052,885,051,350,980,933,162,876,322,859,013,520,029,423,436,123,
408,700,552,331,293,107,138,891,980,439,438,659,383,578,349,420,109,699,882,
610,318,568,085,517,707,081,583,910,585,425,997,123,088,262,292,805,990,024,
776,296,302,436,301,191,304,889,423,111,707,462,848,923,617,071,516,632,601,
850,589,253,756,832,319,274,791,805,000,187,603,991,844,030,556,444,754,770,
256,828,856,821,386,162,083,857,300,486,592,073,262,659,305,727,630,832,600,
813,841,193,975,005,281,509,343,689,902,092,476,488,197,131,022,468,954,298,
160,215,392,816,226,199,104,622,540,295,035,497,051,075,933,870,609,364,007,
301,964,178,809,003,812,349,734,139,043,486,058,540,209,122,313,481,014,262,
925,970,903,278,019,837,517,436,162,879,488,297,948,551,384,936,964,779,923,
947,010,361,372,727,531,271,555,717,650,189,715,455,650,793,852,818,381,450,
806,597,439,730,293,587,611,350,944,655,533,566,490,499,833,719,009,111,081,
444,789,187,411,478,673,315,235,678,167,585,974,907,719,466,727,216,506,597,
250,825,569,511,573,934,694,916,586,699,775,179,732,725,722,920,244,972,026,
434,444,703,991,324,228,152,926,242,307,518,926,877,217,020,049,532,611,307,
030,354,114,926,236,827,318,355,566,316,565,349,605,268,286,206,134,770,707,
319,722,446,914,340,655,373,819,622,340,862,586,082,854,981,466,917,267,630,
142,847,078,200,799,951,456,176,504,184,167,314,987,126,764,089,043,403,155,
924,351,044,071,244,765,240,420,632,176,974,258,174,311,358,882,410,372,601,
318,578,441,406,995,894,093,855,152,032,699,903,075,663,577,132,324,626,729,
516,850,791,573,833,143,359,171,696,810,405,009,825,239,530,585,930,522,129,
343,505,110,766,254,408,409,802,143,122,689,679,674,591,271,145,358,029,783,
638,846,579,783,127,284,636,493,558,546,411,792,159,955,449,028,399,431,863,
868,085,357,216,138,392,879,743,029,701,034,440,010,947,755,868,274,265,361,
019,797,780,769,790,905,951,993,670,038,494,758,133,130,027,516,337,392,805,
462,892,379,683,027,092,228,272,712,467,015,864,381,645,824,089,180,451,122,
852,726,378,380,613,626,235,655,115,877,257,532,619,346,634,889,416,489,405,
003,603,056,089,300,653,139,455,714,451,798,804,602,578,888,164,313,832,862,
927,207,850,051,956,334,613,646,055,474,201,094,834,183,576,330,694,220,266,
265,598,843,736,439,101,232,951,391,033,024,904,255,804,315,154,440,610,170,
020,441,017,195,258,527,199,518,052,774,996,047,831,528,994,094,492,473,939,
599,538,158,971,354,738,050,171,531,520,269,186,572,923,029,909,605,386,784,
461,235,092,816,158,846,294,006,343,041,763,078,837,732,464,941,468,310,393,
506,313,871,898,696,856,746,973,254,025,053,984,031,501,127,071,824,526,008,
155,184,642,063,020,586,767,719,560,423,606,388,336,395,945,898,515,011,037,
107,534,449,389,720,150,264,134,811,773,645,199,589,228,601,906,756,219,396,
631,414,225,007,560,258,913,419,105,242,010,333,043,516,000,881,231,431,831,
360,294,886,688,479,646,956,557,438,671,807,063,004,641,779,984,827,762,398,
853,896,874,742,711,723,516,847,998,778,768,982,987,261,775,923,597,786,127,
040,762,183,476,173,619,457,515,160,967,522,059,909,357,065,060,073,377,397,
734,578,184,101,483,150,536,319,851,575,174,498,917,947,970,146,688,754,376,
106,308,639,500,466,766,400,373,475,343,787,360,867,817,403,701,560,112,065,
133,982,798,098,674,501,892,908,482,679,090,921,818,020,965,737,336,711,662,
639,779,208,896,788,637,358,058,513,103,210,829,308,861,060,967,297,123,319,
164,905,883,796,699,883,590,068,456,263,607,905,546,674,750,972,926,495,477,
712,993,629,770,329,566,968,511,409,551,138,276,056,585,683,533,394,642,830,
796,887,978,720,349,484,199,946,417,018,326,772,685,472,969,447,053,349,708,
039,284,578,621,173,176,831,820,564,423,393,822,960,768,680,708,530,834,769,
325,185,730,806,768,855,652,320,197,325,174,763,489,421,727,993,820,070,996,
540,607,817,522,807,985,872,397,506,801,226,648,560,304,021,023,275,970,526,
331,036,454,989,122,475,044,450,326,263,068,861,724,035,525,439,162,914,010,
955,044,279,463,774,843,306,827,568,228,341,451,884,321,228,710,752,140,836,
104,195,349,683,007,393,311,866,102,017,012,735,553,208,268,573,353,890,357,
299,572,745,080,341,788,066,477,569,089,047,276,012,440,642,393,952,126,056,
861,327,573,998,401,097,258,308,983,463,704,776,013,145,025,649,654,846,842,
479,876,045,026,303,269,910,005,326,573,110,798,217,655,685,360,671,196,072,
106,096,321,080,330,426,888,611,249,358,563,970,187,879,834,029,653,452,947,
324,037,263,965,024,918,171,610,137,427,441,860,590,406,084,562,211,018,104,
822,145,904,162,084,594,194,955,463,066,022,558,076,929,090,023,851,544,041,
888,223,809,393,507,897,517,891,050,403,724,881,992,163,627,915,384,915,659,
073,412,157,969,411,966,162,886,539,383,971,973,298,313,612,382,705,569,837,
930,251,639,854,337,904,142,954,079,870,644,321,987,983,913,159,996,701,490,
953,404,040,062,040,249,965,113,885,483,105,787,383,041,933,899,827,225,288,
246,205,501,282,038,628,826,912,808,705,971,999,287,098,963,308,669,776,083,
794,327,762,481,545,630,787,098,792,152,953,485,293,827,043,199,861,468,271,
272,998,650,955,069,691,468,598,747,997,286,536,191,249,139,045,102,740,411,
061,157,007,889,938,127,482,817,682,143,576,376,206,869,449,330,054,474,993,
816,190,927,726,819,807,709,554,828,524,968,695,493,007,343,518,610,350,376,
892,354,148,728,703,243,353,676,283,615,881,748,190,183,851,491,155,795,960,
526,363,987,216,881,225,176,349,417,843,980,901,094,846,009,136,454,302,311,
423,510,987,692,631,631,717,045,110,634,096,556,930,209,010,664,796,751,814,
171,933,455,331,402,728,357,729,703,241,968,852,502,705,006,203,861,859,794,
244,105,502,787,799,687,087,100,517,634,412,678,086,660,729,983,317,926,144,
862,769,449,458,137,084,468,644,947,572,395,969,932,598,668,088,234,868,100,
605,306,253,311,367,204,599,024,317,431,542,039,559,793,854,272,914,679,366,
179,449,514,009,642,182,268,157,936,941,164,905,628,479,476,428,107,296,536,
535,215,053,114,104,299,086,375,425,194,276,386,159,939,252,097,501,445,229,
062,763,202,130,258,672,920,077,642,884,728,486,159,555,716,688,629,676,802,
862,642,033,422,259,699,534,685,824,554,044,300,106,262,129,969,409,405,932,
581,847,501,006,452,549,469,991,520,448,971,958,290,049,670,406,981,058,080,
186,055,148,022,405,373,023,108,041,559,946,909,208,329,018,624,993,907,169,
946,861,415,118,508,569,305,392,966,119,669,749,935,548,823,170,110,007,851,
217,090,968,402,255,159,255,930,690,657,153,264,281,186,275,527,155,391,423,
918,695,305,157,345,453,344,247,702,207,510,408,240,751,887,191,477,434,172,
418,033,887,967,952,774,403,682,832,168,773,895,159,128,153,888,928,618,484,
277,187,971,112,155,132,674,063,616,647,735,682,979,691,733,740,188,178,465,
379,808,434,976,645,767,235,693,581,778,055,650,774,885,474,218,291,242,879,
396,077,394,372,848,624,112,467,649,511,467,576,217,703,529,630,755,790,923,
482,611,964,281,476,121,220,506,509,227,019,510,487,396,052,355,026,134,319,
414,885,058,561,976,167,865,745,134,890,403,539,112,530,651,479,598,958,024,
687,987,598,613,208,890,191,397,026,838,596,034,955,115,438,070,601,683,119,
161,451,432,456,990,408,994,168,442,536,885,164,963,991,897,917,767,211,824,
058,963,333,665,237,854,960,528,623,238,401,425,224,380,164,026,375,584,069,
465,625,494,690,031,511,818,053,673,584,346,746,777,738,178,892,549,180,917,
881,290,496,786,035,770,011,947,365,699,561,403,557,615,185,096,140,685,969,
675,944,747,072,005,249,276,666,566,365,318,747,941,016,259,032,993,888,494,
634,723,566,286,205,002,209,486,509,442,187,598,076,581,909,388,480,148,998,
485,997,566,385,023,854,266,993,651,633,418,801,542,259,959,385,448,810,269,
553,515,948,482,994,029,268,776,643,632,744,541,163,560,733,046,346,908,410,
507,331,598,520,414,457,035,659,579,380,524,779,240,804,376,499,355,359,038,
864,188,549,749,803,699,260,249,165,567,680,381,595,888,533,201,887,279,789,
025,757,392,772,370,884,216,956,290,206,174,775,429,767,539,702,647,380,760,
455,886,011,352,089,791,564,968,811,863,869,679,791,475,766,940,512,679,920,
218,729,888,134,021,204,064,471,264,687,237,932,522,371,421,504,701,588,040,
543,152,711,935,943,190,444,992,374,440,200,996,246,837,175,268,680,697,459,
749,908,815,133,635,979,689,661,207,348,949,781,376,628,167,717,413,098,871,
867,863,932,724,079,954,055,074,631,533,588,354,454,400,450,784,993,520,500,
529,200,141,079,051,869,580,768,705,852,359,499,909,853,661,946,693,951,227,
677,710,182,422,083,328,427,777,427,613,521,252,612,381,841,873,258,637,655,
940,417,864,439,368,766,819,886,120,028,065,163,986,449,706,454,618,646,000,
870,282,560,624,775,815,219,548,787,582,971,098,328,352,160,959,949,804,616,
520,859,250,579,868,000,484,199,439,644,059,413,935,777,160,622,815,905,346,
681,448,090,502,833,904,969,230,876,249,348,344,779,759,383,735,299,507,055,
131,510,966,061,224,636,025,455,355,683,233,660,470,103,105,609,250,781,934,
538,480,398,808,745,827,103,853,781,054,484,997,618,847,067,259,434,342,440,
231,514,687,771,559,749,818,603,069,368,575,587,715,514,815,011,946,992,790,
182,083,874,093,149,999,300,734,027,767,112,604,705,309,263,108,418,834,874,
276,709,091,306,653,688,631,240,284,646,430,833,635,470,724,010,212,961,725,
316,057,869,239,297,725,316,041,248,606,396,707,091,563,370,099,530,921,672,
157,643,887,562,085,909,746,037,632,404,279,895,781,475,600,057,162,050,831,
542,519,435,831,336,222,769,259,227,701,119,517,924,957,842,816,620,466,196,
148,701,295,285,907,563,890,707,418,409,350,108,351,511,750,788,169,567,624,
701,317,495,308,797,211,821,439,809,076,168,195,207,358,191,710,425,035,536,
984,038,434,272,823,699,596,005,314,036,445,143,189,903,096,528,561,906,115,
000,412,829,281,951,031,503,715,666,494,836,415,457,859,864,526,490,275,105,
101,760,458,555,801,943,905,773,239,739,982,008,189,055,841,618,517,294,689,
111,055,434,156,336,721,938,724,220,001,757,334,255,457,754,350,191,259,571,
760,195,244,112,571,061,341,118,223,796,654,505,184,669,427,865,599,311,238,
588,595,595,369,451,491,871,058,302,225,942,977,071,753,113,304,547,806,499,
475,788,169,734,417,575,566,710,557,385,872,607,131,166,049,179,310,009,054,
462,421,612,957,757,292,613,360,668,809,059,358,622,442,573,463,683,501,489,
519,329,220,947,402,730,076,640,451,105,222,075,949,305,429,413,543,373,611,
472,969,828,291,542,612,978,507,507,597,021,937,454,696,927,382,525,271,277,
657,342,941,180,164,248,147,295,961,517,122,856,615,341,482,623,514,225,589,
242,047,270,513,846,555,944,600,658,479,282,164,151,247,010,484,515,314,383,
021,441,269,485,947,074,138,230,649,476,796,722,958,906,078,393,676,193,909,
315,762,171,355,885,000,324,933,223,213,468,893,194,600,794,192,267,146,431,
179,172,329,170,581,162,570,216,041,657,681,141,697,415,705,116,784,586,861,
228,933,559,522,445,416,650,319,897,257,664,447,391,213,080,033,105,386,268,
138,300,962,002,970,497,127,057,190,151,809,199,216,222,347,430,436,341,850,
717,903,135,380,732,155,420,198,598,123,079,277,516,404,489,705,961,304,532,
280,191,715,116,647,327,265,236,052,207,758,754,539,129,054,537,500,509,378,
488,240,809,915,795,657,060,853,507,860,857,085,725,557,132,445,521,209,019,
893,290,340,867,189,583,677,322,035,815,668,673,257,093,270,428,691,191,729,
968,555,956,953,315,917,428,170,907,368,309,542,059,800,617,132,405,876,888,
323,047,999,434,343,909,919,745,383,113,561,922,173,649,880,357,536,634,582,
191,149,324,820,911,501,929,257,636,304,826,905,639,060,730,360,771,737,786,
670,782,711,186,402,635,163,639,548,878,882,393,517,089,208,316,791,736,749,
190,684,981,002,417,948,289,310,875,621,654,139,934,127,004,864,432,367,315,
691,847,783,555,445,501,040,499,077,549,482,709,955,857,942,002,898,820,920,
607,473,837,409,249,807,321,962,754,998,558,496,897,062,349,333,001,087,791,
812,529,658,275,819,625,236,728,008,960,524,476,965,162,573,175,333,516,004,
695,678,733,262,781,732,912,833,867,136,763,760,828,952,773,431,270,053,657,
431,943,538,434,238,880,661,534,435,048,382,457,994,401,319,051,502,163,340,
931,627,735,187,653,047,202,523,905,799,639,736,157,273,032,937,520,512,532,
327,414,641,219,847,340,677,781,641,423,909,110,272,902,292,453,966,054,821,
263,270,012,818,464,563,325,659,732,827,454,840,353,651,182,006,976,415,923,
633,051,621,584,370,463,287,359,196,399,154,280,139,369,549,007,060,222,505,
336,190,295,035,182,748,891,470,297,372,418,158,541,207,486,082,210,640,003,
253,844,759,738,591,816,075,284,226,188,257,359,686,837,978,454,286,236,658,
790,297,231,971,038,419,085,479,446,335,078,011,780,346,257,337,733,071,254,
051,454,961,678,000,426,921,753,502,228,196,823,424,383,841,304,855,022,609,
761,611,220,768,596,123,446,826,318,027,644,892,533,556,401,667,999,729,985,
111,572,439,757,289,061,534,393,232,375,634,978,921,403,666,784,031,790,474,
778,724,985,917,443,811,790,671,339,379,333,129,117,118,012,756,900,135,377,
724,699,094,370,872,087,295,167,915,152,713,039,486,811,481,245,412,153,384,
348,019,542,273,449,983,346,336,735,471,265,415,076,666,221,158,510,420,984,
306,044,998,558,297,100,061,074,165,669,973,072,456,880,402,945,963,096,739,
823,450,784,401,588,496,609,907,113,429,943,266,672,597,543,306,808,404,265,
993,463,867,331,549,166,982,526,816,653,570,103,634,255,051,940,086,991,383,
517,478,794,729,378,323,783,441,090,318,145,618,674,391,779,450,578,238,716,
621,633,859,073,370,900,894,027,273,740,267,638,939,143,959,430,842,971,365,
136,599,790,279,309,780,823,067,925,851,380,616,559,222,269,605,181,108,495,
957,433,996,904,136,933,548,025,109,478,246,698,124,844,696,012,813,979,055,
520,746,681,227,274,403,068,888,335,564,172,865,623,793,141,118,845,350,254,
939,526,705,050,308,959,511,034,951,322,992,112,038,517,624,036,986,520,561,
272,528,299,100,339,365,155,026,514,895,446,452,273,332,243,184,988,722,672,
689,578,049,647,235,067,939,509,737,408,855,904,863,534,253,840,795,425,122,
351,621,065,420,921,836,777,645,386,367,255,070,848,406,595,713,431,388,441,
856,383,865,801,222,495,410,026,358,720,246,429,629,112,891,469,276,504,702,
667,886,327,794,657,642,466,108,816,590,567,505,343,037,953,514,266,669,388,
411,221,220,402,097,566,019,349,097,653,105,287,441,094,818,914,800,972,316,
227,677,282,699,232,638,686,883,931,210,749,256,290,079,884,041,764,938,612,
892,570,141,120,968,415,736,611,620,176,759,534,591,019,133,571,278,668,207,
281,744,351,180,883,590,980,003,106,353,106,493,810,141,606,329,057,904,354,
180,411,948,133,023,752,061,032,995,111,857,696,858,331,631,112,848,143,794,
554,562,334,753,212,237,661,838,886,030,498,370,276,931,751,170,653,863,167,
170,450,569,369,337,669,325,570,826,396,620,862,965,576,348,436,046,638,202,
403,148,189,910,747,481,915,999,533,199,247,447,741,461,131,288,103,893,999,
626,762,097,328,751,753,454,514,942,660,445,838,350,713,780,556,552,965,037,
893,212,236,824,537,246,712,288,915,334,866,692,364,606,230,816,221,846,886,
529,340,462,193,461,529,511,947,308,625,181,867,022,962,313,228,870,590,114,
375,254,533,775,696,916,161,893,435,061,535,396,827,861,209,485,039,520,773,
384,826,942,511,787,236,658,520,601,509,145,194,909,493,096,142,384,737,128,
699,202,566,409,127,411,803,322,240,763,769,234,294,980,498,409,375,441,192,
863,396,284,873,061,562,456,168,688,121,498,088,784,999,271,700,941,683,142,
583,167,083,320,136,365,546,761,844,142,505,570,104,635,194,853,652,319,159,
030,283,147,033,303,658,459,899,216,744,502,081,502,935,141,911,086,896,379,
537,741,036,146,025,692,699,739,711,931,185,922,791,033,514,015,832,823,557,
443,295,673,124,725,835,629,690,134,553,947,160,164,630,041,894,412,869,068,
830,991,137,830,613,415,726,093,825,075,232,660,381,047,674,412,959,042,151,
973,766,236,726,514,772,029,529,619,016,957,819,601,772,825,853,961,359,399,
247,904,351,732,289,536,627,656,340,401,400,266,837,301,279,024,902,069,238,
519,868,186,583,577,901,293,673,383,821,274,055,450,000,469,787,106,365,430,
769,696,728,933,303,080,625,662,178,798,416,114,418,747,264,540,634,076,821,
423,866,080,146,664,771,466,631,610,324,984,724,800,476,047,596,417,450,366,
198,315,213,229,715,451,755,397,192,177,241,885,896,793,632,011,711,848,949,
830,666,117,411,110,923,379,890,289,301,241,040,976,466,164,646,465,759,577,
555,014,057,729,221,700,962,780,481,776,720,904,306,098,230,297,545,935,113,
143,294,981,873,999,917,217,310,563,901,420,667,559,184,681,073,304,202,326,
899,805,046,689,862,677,659,869,994,384,049,994,365,949,985,475,003,611,957,
938,738,224,820,394,760,294,939,393,679,548,892,255,490,574,189,923,002,463,
730,665,800,472,555,562,775,786,470,496,085,469,110,035,387,492,400,511,808,
351,426,010,037,481,597,583,194,450,411,125,711,527,046,817,127,042,751,152,
320,874,035,358,652,968,241,182,631,842,482,622,888,597,614,590,485,205,141,
661,887,468,184,788,821,434,891,066,072,140,187,651,588,302,480,938,715,903,
538,113,234,393,236,203,568,871,953,670,720,634,456,814,122,794,462,557,924,
653,190,197,638,215,487,213,804,178,441,334,225,571,232,448,557,231,268,695,
456,064,935,345,923,684,903,222,276,520,551,061,277,765,189,188,951,860,535,
789,336,111,115,202,768,812,411,815,229,176,413,566,846,248,625,234,958,939,
917,356,763,087,576,267,780,312,144,223,013,046,859,069,962,097,571,563,738,
701,922,980,499,237,074,227,348,351,718,045,151,261,433,366,764,652,296,786,
994,720,242,852,515,403,894,825,627,586,277,814,892,774,002,199,434,718,380,
143,563,116,884,263,352,723,677,158,226,867,990,430,997,377,375,893,579,996,
456,298,844,826,268,814,520,705,095,014,782,156,876,803,456,819,148,141,848,
600,937,685,911,051,877,584,843,253,839,073,917,354,433,668,549,844,306,223,
334,893,411,494,035,106,176,313,599,533,494,131,459,897,109,899,827,639,852,
815,663,639,155,588,774,009,674,991,957,649,084,986,978,769,493,723,468,521,
403,249,027,705,068,929,207,814,628,259,240,933,870,748,258,295,064,135,577,
583,841,513,095,727,682,782,727,833,879,722,396,775,643,888,719,113,324,157,
856,303,613,379,203,616,104,657,922,585,015,740,629,129,306,842,388,846,091,
539,150,657,456,201,118,957,130,228,249,392,507,736,996,033,898,649,142,404,
200,812,980,782,374,244,732,797,116,963,237,535,450,746,144,722,411,535,420,
614,775,139,993,615,853,572,135,400,587,931,980,565,955,690,670,497,774,980,
785,808,766,612,243,422,587,575,641,137,421,930,952,542,186,634,420,384,421,
219,247,394,681,065,928,200,850,921,297,129,809,716,800,880,385,260,151,532,
785,292,932,327,476,973,075,657,970,978,108,737,953,836,103,527,629,342,782,
581,210,356,916,411,782,127,890,764,701,185,108,754,240,874,875,816,402,406,
328,486,837,559,341,173,328,435,948,879,735,333,109,376,979,166,823,320,964,
370,073,877,202,172,864,525,031,637,441,534,465,836,190,646,391,340,479,564,
316,752,960,552,592,778,056,012,119,985,515,173,885,425,315,882,263,984,599,
107,561,762,597,013,865,039,046,308,014,682,153,709,457,912,656,876,839,469,
093,833,279,683,350,509,535,122,906,398,990,281,287,914,376,424,427,807,298,
138,593,378,347,292,147,743,580,037,397,139,879,395,060,268,677,014,922,690,
092,547,703,301,921,561,219,849,590,686,653,664,975,956,749,701,097,209,711,
359,394,220,469,232,624,573,020,153,078,638,156,376,606,423,637,242,252,905,
154,837,087,768,823,723,071,095,010,219,918,524,092,550,946,840,458,798,192,
280,418,087,316,636,722,623,769,024,508,453,557,033,172,812,108,582,828,180,
174,702,907,021,790,469,785,838,823,217,748,118,143,440,557,736,604,613,633,
019,073,369,970,157,145,102,315,320,194,652,329,361,289,896,162,553,905,548,
302,914,491,522,907,346,540,745,569,356,663,524,909,703,037,936,210,223,923,
413,599,388,382,484,762,307,050,357,476,560,084,236,474,082,938,505,625,547,
314,952,842,799,504,306,810,128,630,472,370,385,423,742,257,036,271,461,767,
992,606,976,477,598,078,471,795,175,942,048,115,460,955,760,581,323,224,742,
058,950,098,730,824,074,080,457,669,281,195,222,400,784,110,540,635,301,083,
391,016,256,759,075,760,198,914,209,554,690,458,729,928,837,636,376,229,542,
515,782,840,655,289,261,870,265,845,734,695,392,541,680,401,205,854,269,039,
783,514,223,417,614,607,600,289,060,654,803,488,247,453,150,101,913,127,217,
220,262,013,074,945,489,739,446,792,025,469,574,518,853,238,843,285,273,026,
189,621,298,158,602,664,643,919,936,376,659,161,853,054,520,856,760,521,916,
356,754,466,689,357,300,495,164,526,724,796,178,719,110,154,967,530,201,986,
451,971,629,161,996,507,232,947,010,763,233,340,951,052,035,416,014,945,246,
706,659,094,004,695,802,532,109,867,058,256,232,067,124,328,005,328,127,686,
225,324,103,909,700,652,567,190,659,317,610,053,261,456,941,296,796,033,076,
585,704,291,160,506,810,808,863,784,291,609,408,830,807,000,557,677,091,530,
598,972,706,097,724,063,241,230,735,018,647,648,752,445,137,783,678,812,656,
677,948,229,281,201,525,050,636,425,045,473,185,395,908,756,412,970,140,433,
399,179,583,175,573,546,676,495,545,175,858,460,040,878,436,993,870,956,865,
721,745,513,850,273,986,162,649,888,385,165,734,847,712,990,633,447,228,842,
905,733,103,124,239,867,544,126,067,036,041,304,790,703,925,118,539,534,848,
813,572,864,969,523,237,180,859,826,865,356,743,362,547,421,132,949,326,457,
881,290,935,917,485,324,369,122,582,094,271,022,039,857,856,715,946,158,971,
847,628,335,089,558,158,113,295,911,609,414,781,264,776,502,505,478,823,385,
489,158,929,480,755,801,674,129,921,205,943,724,153,387,246,735,413,102,599,
841,032,113,690,758,705,749,361,070,436,052,032,172,234,360,561,029,002,443,
810,159,685,930,807,242,578,178,507,787,825,243,013,098,003,211,311,231,528,
750,445,707,451,837,985,408,016,940,517,944,596,767,665,579,224,330,578,729,
111,422,620,600,101,645,501,169,215,962,173,192,353,214,124,473,673,382,250,
455,265,535,888,152,612,061,221,972,723,796,624,380,725,319,610,276,509,129,
839,749,517,309,784,170,470,159,973,511,800,819,362,687,748,248,251,078,111,
913,933,342,942,380,908,030,564,828,683,783,328,581,049,329,925,098,000,272,
098,009,951,933,674,046,243,815,240,014,252,515,350,304,726,685,282,776,961,
037,533,029,329,939,237,021,023,361,711,233,763,257,497,508,511,762,711,162,
416,486,889,555,001,175,854,623,446,408,609,497,752,659,046,900,098,524,943,
623,869,449,879,485,623,021,184,721,210,758,333,740,361,421,641,209,417,301,
182,516,477,474,239,637,232,311,712,183,383,917,649,482,475,702,615,991,487,
349,541,825,459,795,722,340,201,570,113,113,839,576,488,499,021,193,423,721,
291,491,120,480,201,379,107,357,023,662,132,820,380,105,665,469,929,956,364,
079,091,914,784,617,520,270,604,824,918,017,774,401,545,743,339,377,504,887,
447,058,964,883,112,962,161,441,439,913,065,939,717,160,088,303,944,329,597,
574,748,298,745,842,874,650,767,994,462,105,582,517,565,108,463,796,597,595,
659,375,555,972,524,314,561,452,889,429,650,015,619,741,756,824,005,099,497,
357,749,897,459,289,853,450,412,598,055,038,194,283,353,291,396,001,573,396,
611,275,822,182,169,721,703,218,269,541,342,543,672,744,881,148,279,915,644,
328,705,609,420,141,101,653,771,323,911,088,375,715,012,521,189,691,910,817,
517,981,252,020,316,396,256,201,850,471,466,139,393,400,546,474,446,862,493,
641,989,372,780,973,785,762,200,497,324,272,640,050,170,687,339,279,360,671,
651,533,971,566,155,766,020,130,229,691,348,714,588,033,896,889,556,418,853,
528,234,888,945,959,759,957,917,927,996,002,514,889,239,902,690,736,033,596,
499,296,738,093,969,168,834,160,169,621,514,586,722,008,579,140,645,535,726,
235,058,541,731,255,622,597,953,544,117,634,360,467,397,949,867,061,133,335,
174,893,507,561,477,419,873,795,891,828,413,730,551,630,469,099,392,748,960,
774,638,209,676,870,007,124,332,238,162,778,702,517,665,916,642,406,478,055,
828,537,649,472,748,574,413,971,003,526,371,931,040,177,701,199,887,423,275,
713,941,069,147,265,336,044,915,751,986,530,876,111,936,055,830,840,382,134,
771,256,508,768,681,690,844,494,694,612,561,700,965,691,623,653,499,127,056,
006,871,587,905,071,636,964,452,689,255,833,592,370,819,713,669,826,606,655,
988,346,554,084,283,768,771,130,991,986,555,709,199,911,115,340,044,120,110,
626,111,179,789,755,702,517,964,030,028,913,260,474,314,257,726,361,309,368,
647,563,856,377,412,617,018,547,617,035,696,896,279,295,244,976,585,120,599,
712,039,619,305,810,865,253,860,260,790,348,799,324,260,382,387,613,814,171,
403,766,122,103,338,131,029,189,170,215,234,155,045,997,208,351,274,542,804,
728,502,412,460,694,007,589,930,190,906,601,388,880,299,843,543,919,519,442,
622,323,671,949,659,080,873,407,100,317,337,358,758,759,220,184,330,484,906,
266,605,188,081,577,861,824,624,436,872,204,495,764,708,356,165,854,609,790,
627,348,917,912,461,607,431,399,832,909,146,129,548,009,678,572,887,899,170,
500,232,658,372,700,815,520,814,957,194,524,608,313,475,398,611,314,466,275,
393,718,778,642,614,055,000,348,413,329,669,201,650,968,289,005,966,692,927,
866,288,117,498,709,729,641,566,548,161,409,581,906,909,236,653,351,024,343,
131,389,795,416,987,264,463,502,267,851,211,666,441,178,922,500,173,258,153,
041,104,549,751,421,652,128,445,939,611,617,804,441,807,006,737,283,470,446,
611,947,566,769,318,472,698,649,628,664,210,534,768,450,399,768,997,993,234,
030,722,184,855,372,884,540,735,263,771,517,427,314,856,328,291,331,468,943,
143,181,201,914,113,423,035,201,651,048,579,966,116,544,198,673,544,404,486,
901,421,250,771,489,997,561,803,597,683,982,966,189,060,598,995,838,182,226,
006,992,180,753,834,621,346,664,831,556,043,932,194,611,625,913,054,725,604,
448,475,177,740,109,574,139,696,976,627,850,019,511,635,389,862,273,239,920,
209,732,136,498,977,254,689,311,320,035,187,898,621,580,580,725,938,291,003,
306,415,012,307,581,687,644,083,260,087,006,629,303,239,401,093,079,611,804,
357,565,010,467,952,576,187,331,092,057,647,403,528,271,958,171,052,634,637,
374,631,472,076,629,057,028,982,571,529,271,958,939,202,744,170,175,149,163,
999,768,978,869,328,551,169,988,090,715,714,401,961,160,121,513,575,035,835,
619,125,355,955,129,404,999,613,853,057,247,672,787,545,482,484,047,098,163,
412,287,397,858,008,381,136,343,076,996,432,998,930,293,757,040,520,975,107,
314,920,071,114,121,336,022,656,471,997,931,655,267,311,140,449,828,168,015,
534,073,725,596,803,223,810,518,011,340,972,655,098,312,751,630,108,108,899,
526,491,366,058,451,170,428,054,337,938,722,006,578,213,273,108,817,571,977,
647,250,668,014,319,920,244,781,511,235,260,723,712,332,792,048,471,846,106,
149,457,057,357,497,535,157,599,930,272,017,593,436,736,245,837,111,020,059,
867,238,164,912,597,075,083,801,928,298,328,715,657,628,199,119,889,834,587,
083,372,245,949,608,858,461,668,080,990,242,624,221,082,115,946,932,179,452,
377,837,555,817,482,036,694,873,606,489,956,726,756,461,730,335,146,157,411,
474,506,878,371,276,406,414,826,948,528,911,856,667,516,553,828,146,993,003,
793,762,102,496,480,854,538,515,121,350,379,978,157,603,926,874,714,335,167,
246,765,989,813,862,385,644,381,675,837,457,055,209,713,582,937,414,304,330,
300,697,157,951,139,385,538,147,563,154,967,225,812,239,305,287,542,412,307,
712,716,314,082,088,753,698,108,316,591,148,100,359,331,351,632,444,335,963,
272,005,732,380,530,045,438,279,146,718,503,721,547,090,127,482,981,733,076,
256,754,323,997,492,734,937,566,053,709,727,217,038,261,871,271,575,907,741,
366,816,405,064,486,688,220,739,993,948,878,538,036,541,588,079,834,289,903,
698,144,606,824,270,273,467,464,055,358,271,931,257,962,535,030,031,102,390,
160,775,138,404,737,098,850,193,352,755,513,419,614,028,191,472,441,704,937,
592,986,062,307,339,704,025,737,422,885,617,041,949,700,597,413,975,929,174,
600,428,982,661,214,666,182,029,039,494,688,890,345,710,131,272,753,629,767,
414,775,202,954,151,952,280,175,834,737,584,305,247,063,830,926,992,486,541,
577,554,832,235,414,405,630,082,466,324,171,362,425,673,020,647,130,141,888,
199,101,711,757,867,063,260,882,346,385,280,194,830,833,300,824,892,406,450,
737,905,032,360,535,254,318,979,688,289,055,671,272,692,014,406,992,902,108,
572,812,137,460,247,804,602,192,532,615,688,934,244,810,867,852,451,798,051,
476,321,129,567,932,495,710,283,912,957,274,025,469,571,917,209,052,013,072,
966,239,394,267,991,635,382,377,218,707,747,380,250,812,655,798,900,555,361,
441,793,181,683,409,246,649,503,983,823,690,862,622,556,536,221,674,070,075,
083,400,438,183,828,507,509,437,881,927,927,941,826,840,843,159,939,810,472,
857,758,813,285,247,925,529,469,297,585,375,109,045,231,856,795,153,505,380,
981,931,362,882,422,018,095,276,412,431,685,895,667,664,201,346,898,542,215,
791,662,438,213,114,460,193,882,085,614,664,880,210,123,476,897,983,496,082,
877,245,595,186,144,696,608,085,399,099,602,731,516,202,804,583,246,141,298,
006,084,616,124,641,471,352,714,699,919,992,283,305,968,168,332,728,473,044,
787,442,282,902,187,031,865,924,871,091,879,092,176,813,038,492,530,024,780,
737,134,974,460,808,232,569,816,819,502,329,348,659,399,270,162,149,916,366,
355,786,245,032,479,909,628,269,350,280,963,811,034,905,199,946,526,222,625,
340,803,333,710,958,350,519,080,675,046,135,905,522,499,081,129,260,171,791,
409,860,008,371,026,524,000,166,893,928,358,092,537,379,375,204,867,216,228,
786,074,375,036,837,534,343,067,776,048,660,856,729,836,822,775,539,138,057,
969,354,093,693,755,847,740,723,644,712,790,313,619,846,683,966,562,952,884,
704,072,593,749,910,433,665,454,012,007,768,532,664,808,853,279,007,270,254,
510,683,047,144,436,652,599,967,884,292,701,117,677,489,348,862,968,719,615,
152,821,000,811,979,599,172,394,565,429,718,421,923,737,369,834,813,105,043,
003,471,224,958,627,358,042,779,468,028,496,764,807,694,302,169,023,746,505,
235,679,689,643,758,419,760,576,314,078,911,003,343,918,932,630,747,247,961,
719,667,394,335,186,559,373,447,722,797,960,052,013,235,486,473,369,146,600,
798,534,824,704,956,239,669,214,066,154,434,328,345,686,945,540,322,572,414,
559,866,693,920,806,644,288,951,645,846,480,681,802,151,154,295,626,843,174,
329,543,616,489,211,134,300,575,178,899,505,042,671,602,999,053,375,251,267,
609,595,736,985,144,160,501,120,505,009,688,907,191,014,900,108,012,537,218,
885,362,847,963,646,627,962,789,577,022,141,943,722,998,913,983,497,470,351,
134,417,549,252,361,651,242,361,350,824,493,079,798,980,588,130,880,426,524,
716,926,892,832,025,328,284,507,077,284,187,769,581,122,323,938,158,110,387,
285,298,307,871,687,672,879,730,054,450,637,617,486,299,142,908,866,810,769,
235,796,171,718,377,356,958,627,195,465,814,954,782,089,050,454,596,043,828,
168,893,822,268,929,544,948,410,690,574,891,874,308,719,558,360,217,988,142,
493,118,487,055,073,284,723,698,604,037,104,595,862,121,502,024,745,100,086,
916,567,075,201,243,965,188,645,691,615,464,886,831,464,969,425,157,597,691,
452,464,578,991,645,078,428,841,532,617,540,962,238,358,658,216,344,219,343,
516,737,336,272,635,125,519,716,298,414,781,270,600,073,872,549,044,127,463,
435,354,141,618,358,532,561,532,834,457,252,999,734,937,096,782,963,653,465,
126,530,700,868,371,043,893,503,206,571,033,470,100,832,332,430,357,073,143,
422,578,310,689,168,519,268,668,457,084,955,528,006,024,654,497,457,557,902,
384,044,577,884,768,888,439,371,025,967,927,682,125,885,282,953,944,582,047,
135,610,863,859,990,157,029,781,259,881,469,093,471,551,122,601,016,003,360,
079,646,659,010,959,909,315,803,347,224,006,835,992,522,841,244,663,640,890,
050,230,203,141,969,372,814,687,875,517,238,126,467,418,798,536,243,835,017,
670,528,822,855,453,098,251,836,823,537,199,260,620,210,365,034,643,634,880,
817,697,286,864,002,644,019,039,501,653,583,443,659,423,283,828,324,962,657,
586,284,906,016,692,981,069,898,838,810,956,560,783,352,842,444,412,760,045,
889,537,835,395,962,303,799,321,450,983,358,199,471,311,591,473,695,691,140,
528,604,109,132,445,496,278,263,552,564,568,158,824,498,499,436,000,881,445,
005,413,795,397,289,303,454,581,586,056,572,307,746,955,263,728,635,177,988,
960,010,073,117,001,278,210,947,191,904,200,541,047,460,569,068,729,799,758,
744,383,947,218,026,271,561,743,129,472,649,142,850,500,612,583,107,675,257,
388,224,894,006,630,632,317,995,968,068,316,924,895,556,204,261,815,811,503,
255,206,331,664,998,940,318,688,196,151,042,664,646,334,477,509,526,460,669,
040,363,179,310,377,387,779,840,897,675,684,001,509,508,141,630,505,461,749,
991,429,016,781,770,222,870,215,274,413,181,107,430,766,570,677,710,481,191,
133,120,044,230,358,358,458,328,034,827,504,946,367,385,066,836,829,912,908,
574,653,318,609,986,423,478,348,531,467,422,537,184,547,657,549,186,564,442,
649,328,475,428,292,085,754,296,748,973,867,672,033,915,293,650,885,465,166,
263,450,866,469,923,057,384,061,214,905,488,020,693,812,589,080,566,269,143,
169,391,563,205,226,558,840,022,086,063,098,829,152,901,119,654,500,683,327,
273,483,746,420,588,091,573,616,556,794,604,104,670,676,864,083,239,203,653,
576,938,135,532,141,036,399,062,628,216,566,960,100,971,231,626,307,134,726,
246,786,368,638,704,424,189,390,981,973,691,285,427,871,463,951,937,998,234,
453,139,947,177,165,838,242,443,166,624,881,008,011,500,035,850,668,740,262,
802,774,249,340,868,544,859,815,770,996,525,425,403,279,750,704,382,218,427,
549,335,698,827,007,073,083,952,286,249,978,138,723,193,290,138,839,248,804,
353,351,397,461,779,058,804,832,922,827,466,880,754,506,581,526,321,616,015,
595,050,039,315,714,393,713,831,154,936,105,403,560,089,913,724,938,489,207,
039,937,682,980,384,544,013,833,924,557,237,830,257,852,197,282,701,782,839,
346,985,857,334,673,205,069,455,701,896,611,691,803,315,715,590,521,418,776,
096,171,186,542,436,595,257,831,701,747,010,558,223,615,992,891,325,623,889,
709,994,360,230,736,634,774,969,408,455,863,149,701,295,655,544,042,959,529,
894,267,568,636,576,751,049,760,966,318,467,855,291,675,120,414,204,975,153,
548,489,898,703,079,723,622,668,666,221,561,089,224,902,940,756,285,817,419,
412,378,148,993,993,793,948,118,459,423,491,583,674,455,600,825,108,706,878,
837,372,742,022,337,551,752,126,192,971,071,093,164,047,217,784,879,121,956,
626,549,749,277,405,896,663,373,408,352,639,783,375,099,128,239,113,957,714,
354,236,572,124,926,207,595,963,083,914,348,871,881,009,880,884,457,848,333,
788,467,063,697,754,189,091,776,837,010,897,915,213,149,153,302,056,937,181,
094,332,444,756,765,078,490,733,845,021,056,712,886,186,469,879,288,182,211,
122,101,350,233,930,965,082,873,885,153,922,130,206,429,730,589,426,752,148,
640,427,019,531,121,253,869,388,652,389,061,380,214,356,334,785,524,934,239,
223,517,272,911,653,029,305,367,621,397,467,973,151,373,342,472,755,121,797,
418,752,651,561,604,320,148,926,627,324,897,960,708,558,144,279,247,327,426,
021,681,018,772,506,477,604,638,658,333,837,374,585,793,546,238,819,384,210,
361,788,895,207,372,060,663,261,811,761,795,954,020,980,691,757,713,752,095,
468,982,044,609,773,063,050,868,755,049,732,605,203,926,519,703,626,035,838,
172,711,372,706,979,105,522,760,182,145,984,905,941,594,742,557,444,863,395,
601,871,393,311,058,766,644,854,673,854,263,364,715,926,578,888,785,508,774,
049,039,473,112,337,471,914,365,168,554,107,443,799,533,860,612,842,694,427,
052,742,288,067,265,968,275,786,454,207,331,618,987,598,241,272,170,447,222,
685,610,713,235,919,892,649,415,761,192,306,742,088,405,457,670,674,438,703,
460,020,007,697,145,654,460,532,845,958,627,548,820,495,220,404,092,800,011,
602,038,840,169,495,341,243,946,777,869,984,662,673,916,037,816,889,002,178,
289,683,302,894,269,761,739,357,770,520,886,073,544,817,912,269,901,363,230,
377,866,020,956,788,752,506,805,908,628,947,117,213,960,672,183,444,933,759,
452,249,638,041,800,937,676,105,759,606,754,181,553,241,370,888,590,242,710,
668,128,646,003,929,411,834,856,040,165,198,973,482,110,396,827,698,852,543,
462,771,356,195,989,931,998,241,106,687,391,222,349,194,979,151,091,792,720,
475,012,674,721,413,450,377,699,281,810,320,781,953,293,570,560,204,323,709,
115,097,477,497,695,987,135,378,296,451,116,857,282,560,810,835,280,721,248,
008,606,755,680,704,855,984,734,931,203,780,403,170,055,174,260,136,453,124,
620,344,467,350,369,627,689,134,281,454,277,387,161,831,391,790,030,439,980,
991,330,645,338,560,996,958,308,872,085,408,916,047,851,431,751,746,515,862,
573,885,895,638,129,284,802,996,846,263,231,057,722,094,586,865,668,170,569,
292,385,481,082,877,082,727,068,504,807,501,282,755,678,929,453,444,020,387,
517,432,348,264,180,796,917,366,058,472,008,678,917,994,632,128,245,131,959,
890,402,036,217,249,049,840,945,505,814,960,572,145,888,836,474,267,492,458,
693,061,612,933,186,786,839,421,301,346,987,965,333,091,569,403,131,883,520,
274,959,604,974,555,036,535,228,148,706,087,161,357,930,425,779,046,517,934,
089,762,263,653,445,340,709,542,768,148,377,988,830,946,005,559,749,774,721,
081,155,290,890,398,858,300,232,779,453,854,825,988,646,939,959,850,433,819,
438,911,411,526,610,898,447,967,839,183,810,738,221,863,232,281,447,653,632,
535,944,475,434,286,291,772,574,594,025,748,772,544,184,502,061,131,993,132,
081,375,076,059,544,218,674,749,260,966,311,831,545,066,522,295,972,240,852,
678,510,219,940,644,744,635,855,088,195,594,912,859,755,714,346,299,716,853,
340,370,776,254,330,807,377,319,623,293,796,987,756,141,383,422,636,982,097,
180,930,042,295,257,411,939,529,162,450,742,350,565,270,608,618,337,254,692,
044,099,096,062,536,748,153,821,488,415,405,971,535,328,560,558,806,198,835,
852,323,515,735,116,642,160,320,319,685,952,291,368,064,901,373,334,771,664,
169,311,650,567,386,693,678,037,462,506,345,361,017,571,538,069,834,153,023,
042,180,713,215,773,716,075,325,629,019,299,012,407,244,270,344,433,046,464,
779,399,835,641,280,810,526,897,959,219,245,150,735,632,706,800,031,317,867,
811,272,560,812,479,046,399,328,124,401,812,694,556,336,724,618,609,269,988,
725,193,455,750,511,733,934,895,804,797,090,899,062,671,767,138,255,386,495,
562,657,708,304,947,765,766,771,522,034,181,753,597,273,098,254,660,695,213,
195,170,365,315,671,076,056,715,383,136,494,409,513,197,947,202,201,616,232,
828,117,579,674,433,176,865,331,217,724,558,721,882,858,454,242,796,167,164,
389,131,162,519,555,398,171,744,046,608,971,428,181,853,519,039,731,282,186,
152,520,706,583,479,305,859,246,294,571,272,145,707,234,594,082,652,795,994,
299,995,950,333,443,518,819,610,244,730,057,931,728,091,277,058,219,600,665,
942,285,831,099,160,369,394,414,838,461,986,844,346,782,994,937,121,567,475,
906,942,479,436,479,087,266,494,837,323,949,507,509,473,050,507,348,370,945,
578,893,674,401,667,617,797,394,061,943,326,065,776,678,490,934,009,250,862,
301,630,555,718,996,779,178,800,411,920,539,447,275,752,187,953,096,023,305,
228,119,581,613,810,117,444,399,329,527,344,108,751,548,045,147,113,844,218,
669,834,975,238,511,583,535,435,897,880,509,439,120,436,320,404,376,008,280,
497,874,338,013,680,801,864,161,023,019,758,495,409,566,541,091,221,320,722,
661,153,796,582,160,194,509,470,175,423,311,558,993,195,823,648,963,136,224,
961,167,185,211,134,560,517,379,780,056,540,651,665,090,199,437,817,600,722,
008,265,737,584,129,844,714,778,103,217,426,593,670,844,898,040,697,132,130,
933,949,881,391,914,181,092,260,318,294,909,181,399,861,809,160,875,031,147,
711,470,832,371,582,308,809,220,305,350,856,084,010,566,159,941,937,452,986,
517,241,706,958,863,751,034,344,555,587,326,708,657,172,417,979,121,479,560,
580,198,935,045,929,097,724,203,778,776,880,797,502,209,432,319,623,170,398,
950,878,918,490,151,186,207,588,942,165,298,030,891,034,829,009,923,652,289,
499,320,801,509,252,826,109,961,821,061,939,316,681,125,786,497,672,662,308,
512,758,032,283,669,356,955,809,349,384,966,385,418,438,894,537,819,051,711,
326,099,307,466,579,657,360,651,049,158,649,104,963,984,359,766,940,817,397,
013,421,612,266,012,646,539,673,578,332,199,637,396,873,384,457,458,936,451,
840,166,618,244,831,715,169,524,913,328,048,829,361,411,711,978,420,261,029,
324,092,289,486,533,870,976,261,542,085,676,732,286,757,592,173,288,132,066,
611,201,854,387,687,110,933,981,766,923,013,061,938,448,033,240,831,612,168,
738,323,499,320,713,436,479,275,373,341,777,988,662,449,970,803,570,212,801,
328,778,484,016,394,244,421,064,010,571,869,828,613,639,141,936,705,635,654,
558,242,086,857,887,021,446,057,059,345,927,404,441,124,708,916,632,662,740,
271,974,979,295,604,244,497,915,686,910,070,034,325,736,296,410,974,692,037,
102,291,820,853,853,305,461,438,526,321,716,643,163,661,425,719,838,039,622,
882,937,990,210,381,518,711,785,847,449,974,580,522,539,269,501,100,081,748,
394,993,731,004,613,220,748,877,220,199,631,647,429,428,352,752,722,793,447,
631,391,788,608,128,820,745,381,571,712,115,321,738,136,381,331,498,625,924,
822,566,365,260,876,151,823,219,385,547,213,355,305,175,608,247,412,778,453,
579,493,903,058,774,605,732,458,930,396,825,752,190,275,981,871,644,870,131,
072,935,793,643,286,392,065,584,406,921,460,539,264,573,759,625,467,518,284,
944,350,580,564,160,056,704,084,391,843,525,299,787,196,666,643,721,750,291,
719,583,679,145,976,079,555,744,465,096,900,034,790,039,866,151,439,567,347,
054,209,795,194,432,311,488,407,733,905,308,169,891,161,876,918,340,500,094,
425,989,460,577,859,762,710,940,147,881,549,202,053,770,513,513,058,749,669,
914,930,026,479,570,536,518,270,617,996,853,771,880,716,406,905,030,135,659,
756,103,075,609,708,470,415,700,106,110,531,844,727,305,126,084,292,507,855,
298,933,986,455,789,870,636,482,022,993,035,358,020,196,897,624,735,428,887,
687,294,367,365,813,633,713,742,015,287,931,590,924,899,832,884,587,548,918,
177,926,959,387,254,401,136,607,153,473,693,150,641,928,532,381,471,224,350,
032,507,706,435,082,715,157,728,360,868,751,100,327,462,403,821,699,992,656,
481,294,932,073,156,204,247,054,012,520,695,607,906,255,188,309,118,185,467,
220,758,213,099,157,280,706,896,562,679,257,162,734,614,803,177,319,855,573,
660,162,382,762,926,327,273,796,546,135,266,668,948,008,923,979,150,323,640,
644,856,340,423,159,120,136,311,298,418,746,220,654,275,978,257,809,090,523,
531,938,010,543,521,090,841,035,194,836,255,957,728,395,808,318,288,259,266,
487,140,974,666,661,340,342,566,264,589,479,970,656,260,233,449,401,818,955,
692,935,777,327,011,043,380,882,814,712,861,955,653,138,292,374,926,712,039,
053,473,876,409,453,093,822,992,111,012,339,735,090,945,561,967,751,398,260,
488,047,513,117,123,025,825,441,109,807,115,559,099,411,445,806,029,374,895,
331,275,770,602,912,368,310,689,360,250,835,102,320,465,336,753,407,925,156,
034,803,973,474,931,197,503,106,785,548,325,375,252,944,079,321,856,350,411,
424,239,737,615,331,991,349,754,858,043,669,172,263,102,544,540,525,515,919,
591,966,248,304,583,934,115,391,683,607,407,538,063,738,299,960,199,530,693,
743,069,920,983,035,536,114,336,064,869,648,819,361,122,242,899,412,103,081,
115,518,864,020,228,957,796,206,265,682,621,891,085,452,925,209,603,009,539,
800,420,471,483,623,442,679,573,607,665,281,456,157,018,436,946,712,990,823,
433,768,852,075,037,161,532,686,007,903,720,992,721,809,788,290,791,795,946,
701,834,293,157,826,668,645,297,411,427,710,698,024,237,876,989,562,142,202,
632,083,104,014,185,041,257,330,862,331,430,310,166,979,386,195,164,427,360,
188,787,193,942,572,561,982,560,280,375,536,861,789,471,237,291,190,203,966,
048,659,577,255,220,428,937,789,921,627,371,570,040,293,762,322,109,016,798,
126,488,585,923,594,858,451,963,018,566,230,932,544,219,851,896,540,061,771,
684,616,041,325,365,259,858,638,611,798,175,495,091,739,294,770,046,753,612,
642,945,791,850,461,772,189,944,847,204,006,273,118,442,548,579,642,948,650,
420,161,999,176,172,845,348,232,808,773,769,141,716,383,540,647,327,910,568,
331,767,416,097,655,740,437,548,479,469,845,819,103,293,277,949,105,213,694,
444,422,023,567,697,292,949,903,847,955,543,965,324,026,376,601,611,411,067,
365,600,502,228,063,067,264,743,585,916,040,198,179,811,114,602,816,543,637,
897,720,591,917,741,686,398,591,244,898,915,524,981,287,945,880,911,222,729,
176,714,940,188,573,000,497,717,403,870,997,778,012,224,142,484,354,678,352,
061,577,936,995,630,517,089,436,324,857,242,210,057,913,677,713,273,952,647,
714,879,065,292,622,961,206,539,050,876,298,569,691,742,475,086,255,296,850,
061,241,456,571,448,941,628,419,850,043,989,253,008,966,304,502,708,349,811,
337,483,245,823,335,276,917,672,210,485,840,318,959,061,238,417,036,464,123,
739,637,160,969,170,222,964,304,980,216,973,891,582,180,888,399,393,543,875,
226,144,979,279,764,661,149,915,380,691,339,690,016,328,611,173,117,801,307,
620,070,732,202,565,737,371,047,090,336,041,424,842,474,970,537,840,441,132,
122,413,866,797,347,354,773,476,886,889,472,088,572,459,536,312,542,174,750,
692,447,508,205,904,251,187,794,033,836,873,459,540,562,147,571,234,125,218,
815,746,849,700,548,088,596,727,724,975,067,825,707,957,016,283,754,645,366,
963,015,171,067,288,262,313,018,416,748,408,406,147,982,668,237,584,626,481,
419,067,766,358,418,240,993,914,362,144,313,959,250,319,984,468,002,358,668,
002,541,961,956,066,077,148,297,917,420,133,755,438,857,137,264,143,389,653,
678,270,230,182,723,568,120,574,746,479,334,714,613,963,239,386,741,565,801,
859,990,433,436,479,538,022,770,128,353,011,190,990,533,749,503,445,280,147,
681,194,597,954,764,329,308,522,351,979,855,899,295,871,470,874,096,997,898,
704,897,123,948,667,472,763,077,057,831,041,455,261,015,749,971,731,667,915,
992,429,115,208,533,592,983,126,932,393,306,114,356,397,266,517,865,857,071,
829,603,368,784,680,895,754,404,661,932,699,854,333,137,736,721,988,075,061,
572,483,067,785,737,776,883,179,276,101,777,333,377,960,870,806,596,122,133,
699,977,829,852,967,255,792,803,353,012,572,687,656,368,004,141,986,878,338,
000,231,766,994,505,428,438,210,962,125,060,932,831,787,526,420,829,047,549,
523,928,377,523,647,288,296,804,872,174,133,139,790,870,253,428,239,298,094,
359,202,980,853,818,444,693,378,169,025,167,126,539,567,578,423,784,630,779,
280,651,115,656,798,133,168,299,458,880,728,734,711,091,718,964,212,444,066,
051,379,062,717,690,058,841,789,972,130,043,672,148,436,969,748,756,167,198,
439,507,456,774,834,012,675,539,683,224,642,962,918,138,971,004,232,598,696,
418,743,303,302,402,931,284,154,902,524,991,885,492,919,686,986,730,802,612,
762,393,256,917,187,174,774,058,339,290,497,591,245,689,882,529,873,079,922,
087,853,910,326,152,233,750,202,870,855,103,117,094,426,031,654,534,130,399,
590,317,859,595,573,277,743,794,917,891,298,839,422,691,168,301,150,174,151,
762,907,622,801,290,618,647,584,562,803,052,964,373,962,490,491,545,139,088,
019,330,304,942,618,698,971,513,270,445,256,929,551,562,352,732,412,792,804,
595,193,510,419,785,007,681,912,854,495,653,896,035,214,694,065,090,799,621,
884,521,281,220,886,105,538,599,902,964,987,649,193,128,030,990,267,441,455,
423,118,925,600,967,185,308,491,668,833,120,263,984,394,344,292,525,005,431,
525,292,734,755,322,002,548,619,886,888,636,228,817,286,230,400,427,137,875,
548,745,437,473,285,269,722,301,583,810,770,791,981,306,991,806,513,478,793,
332,196,640,930,077,592,505,175,576,045,750,815,159,488,052,357,334,372,145,
726,889,872,937,441,588,201,859,286,691,451,621,241,453,227,108,156,370,330,
481,202,486,137,319,635,119,787,947,185,754,370,554,055,744,779,816,501,245,
583,349,623,365,829,443,406,960,085,382,648,794,153,178,829,820,046,318,331,
780,115,848,892,373,640,409,717,514,438,818,109,830,897,222,324,369,523,797,
679,511,317,978,264,924,880,318,020,827,778,260,994,762,338,866,130,616,895,
013,483,252,928,046,979,413,542,021,060,610,340,074,802,846,400,948,730,528,
456,418,269,213,174,197,184,647,469,883,152,130,137,620,939,670,909,198,685,
217,254,301,833,592,725,455,717,271,032,457,505,668,674,257,067,937,465,584,
526,175,309,699,824,739,113,754,092,163,628,305,787,798,270,688,268,048,765,
809,404,419,813,082,951,277,584,624,560,883,099,458,527,186,517,083,616,822,
860,651,823,397,941,873,526,143,452,116,699,996,364,275,259,311,247,977,549,
079,826,772,860,288,573,467,027,666,303,408,029,208,168,807,349,992,348,547,
311,413,060,803,405,488,759,484,780,404,077,496,955,161,409,323,249,442,033,
510,266,236,275,743,304,379,448,226,724,667,860,823,851,421,459,613,707,571,
886,433,792,398,044,071,122,609,526,129,996,396,476,879,823,841,347,986,348,
454,500,204,618,931,047,443,972,526,655,724,137,244,413,928,636,660,931,092,
079,933,261,536,233,350,214,213,073,637,330,338,194,894,594,590,656,403,072,
338,603,550,126,301,285,267,786,049,568,515,515,754,634,475,572,042,859,452,
284,560,018,517,295,888,755,012,942,412,761,194,603,112,889,136,708,874,074,
920,202,169,899,884,810,924,887,566,137,240,538,550,970,113,290,446,332,763,
388,998,859,653,254,636,753,403,161,999,932,387,081,040,587,427,824,187,413,
292,291,012,543,885,207,724,412,740,043,238,790,470,344,077,358,361,047,231,
249,306,471,833,023,853,966,322,799,178,370,859,928,174,956,926,202,390,767,
368,388,764,263,785,607,551,962,293,410,353,076,095,889,260,564,426,814,118,
226,610,021,034,075,536,634,762,978,742,864,362,525,196,392,940,919,153,603,
150,963,443,933,248,324,604,439,139,083,574,762,467,177,133,741,593,484,251,
926,505,862,823,424,452,392,758,855,858,242,953,841,939,427,434,289,605,959,
638,086,341,623,206,568,132,281,962,659,369,488,804,584,608,999,586,625,166,
293,461,562,036,143,096,569,590,277,892,525,161,530,150,339,320,431,628,113,
460,773,188,756,296,867,248,456,174,798,906,503,288,449,427,957,804,183,246,
034,519,770,262,199,313,306,027,218,989,852,479,852,047,786,376,286,567,412,
646,777,059,846,116,655,435,157,509,756,063,908,834,935,272,631,249,105,186,
919,393,419,305,380,731,546,535,945,467,266,105,038,816,129,442,355,140,553,
356,248,363,404,655,105,646,602,811,855,145,306,224,167,966,528,669,264,536,
249,323,865,746,697,316,953,369,094,131,117,128,295,932,650,063,231,972,797,
493,474,989,689,612,313,286,810,808,598,058,484,491,389,944,579,358,975,423,
934,066,547,088,133,732,751,113,542,709,793,813,465,743,107,576,587,391,039,
664,077,853,311,064,741,288,520,078,965,017,644,023,845,573,079,368,198,394,
248,823,838,382,985,436,667,145,711,287,309,679,981,204,804,062,565,843,978,
830,691,407,831,462,296,823,000,250,714,254,616,579,953,665,521,281,886,472,
391,484,331,263,276,066,687,820,647,073,834,984,364,071,095,450,076,702,031,
296,011,492,767,156,203,681,567,786,286,070,390,563,787,932,744,375,854,833,
241,297,340,087,177,325,629,698,822,105,734,222,773,296,395,372,868,514,979,
592,199,318,632,030,161,956,026,051,185,610,143,066,997,048,032,633,466,615,
301,618,872,740,850,625,221,180,026,531,769,120,354,810,615,019,906,932,122,
182,109,476,420,378,349,103,277,012,524,779,548,583,626,872,474,037,164,497,
819,211,493,993,005,799,877,147,580,966,107,176,160,028,946,720,569,596,908,
221,737,312,332,789,576,829,684,179,087,434,809,454,517,783,257,957,049,939,
782,517,970,682,640,544,422,945,711,880,669,344,935,637,893,627,952,778,245,
979,959,573,115,519,950,690,109,496,846,827,200,876,341,941,630,849,466,727,
911,751,817,179,037,074,602,266,213,440,013,312,927,357,524,547,286,468,432,
940,322,672,068,604,410,635,731,347,607,784,311,687,544,990,959,312,365,889,
484,422,996,800,251,612,657,329,910,801,612,847,723,588,478,739,862,904,674,
232,601,346,015,113,577,249,623,755,575,826,878,578,195,496,608,532,809,737,
394,959,855,205,688,997,642,278,511,350,035,776,064,522,908,255,215,532,660,
330,259,462,099,385,630,879,499,881,729,579,423,171,570,362,435,690,319,628,
932,596,241,222,066,140,488,544,007,001,960,981,477,236,486,135,763,754,868,
479,455,394,741,767,610,104,892,061,053,807,494,318,558,754,782,336,624,121,
353,657,710,398,108,702,422,057,788,776,615,804,721,634,780,689,890,228,591,
300,066,795,676,142,094,516,495,847,158,244,955,510,268,713,896,492,554,544,
179,899,677,368,483,340,566,664,198,649,050,373,966,284,142,719,862,899,619,
703,779,572,239,144,785,392,923,039,525,165,066,443,159,555,377,736,442,769,
497,314,226,448,233,201,455,751,889,914,082,752,336,893,231,979,188,429,575,
265,188,371,064,171,544,047,802,055,604,931,739,481,906,614,120,872,052,409,
657,860,814,672,995,525,588,715,660,891,741,865,567,282,180,195,278,844,958,
744,124,370,499,280,588,855,290,023,987,699,476,112,308,996,272,736,889,203,
056,818,883,254,100,439,561,622,878,824,192,646,285,714,832,837,093,852,537,
678,699,506,220,228,666,921,308,491,358,043,903,730,510,428,882,489,543,976,
839,535,832,416,279,523,727,174,668,107,585,604,932,524,371,220,601,058,526,
344,572,182,897,905,945,112,265,751,213,425,469,332,521,953,195,314,442,961,
843,053,936,388,554,641,664,152,031,102,605,621,411,789,230,037,277,049,659,
844,280,764,081,629,461,579,632,841,670,488,297,831,300,893,679,266,830,959,
163,597,433,408,217,381,063,308,242,939,429,480,486,446,776,164,229,784,855,
796,044,122,807,458,643,309,176,730,090,283,308,149,820,677,000,280,894,839,
433,153,323,143,366,100,607,072,077,824,459,247,854,764,072,101,126,143,067,
968,591,905,866,260,688,872,168,364,910,259,131,491,014,050,417,036,175,113,
460,180,155,572,211,510,393,272,222,733,801,145,860,953,961,398,442,051,241,
562,082,916,235,176,352,173,748,977,809,911,230,448,067,137,320,335,909,058,
507,964,744,367,709,460,665,541,187,112,426,201,210,621,687,996,234,397,715,
109,207,607,535,015,390,276,800,477,536,489,417,346,232,101,248,096,283,346,
256,207,687,249,659,279,299,735,888,926,885,681,078,625,700,849,140,849,932,
960,444,300,372,732,687,753,573,191,897,840,659,119,934,611,705,778,948,775,
146,156,766,498,952,410,748,710,284,860,009,975,594,908,982,698,917,856,325,
573,773,743,917,305,270,231,294,579,498,221,180,277,807,961,937,353,320,167,
638,115,227,445,865,059,772,868,349,110,004,575,170,746,670,921,173,044,359,
336,666,485,262,765,945,063,190,775,044,222,956,809,062,588,716,246,247,546,
413,618,504,078,861,053,474,156,974,326,806,057,396,060,557,647,227,047,232,
551,263,134,556,529,441,619,442,089,616,385,118,399,145,715,776,481,179,978,
147,133,467,756,325,362,021,151,310,923,970,826,149,423,868,632,782,367,225,
855,465,075,902,833,056,650,826,108,580,907,913,026,040,945,267,321,407,747,
173,234,298,870,658,459,633,521,781,026,994,112,049,127,039,913,862,460,344,
842,614,935,785,219,880,017,800,600,564,673,654,746,637,217,202,728,205,346,
274,495,226,188,065,040,477,793,238,900,192,986,552,667,462,957,989,227,069,
550,502,716,940,849,066,527,660,454,659,385,674,411,002,176,099,920,313,018,
030,517,663,329,063,704,031,564,089,004,442,173,753,530,604,161,341,092,408,
214,657,201,658,858,491,889,762,001,942,903,947,986,629,179,811,307,987,830,
431,818,192,793,043,935,255,424,354,369,802,143,022,742,283,422,367,626,383,
052,315,199,647,810,605,212,036,148,599,588,330,479,645,405,738,864,159,229,
410,098,499,505,320,531,944,349,151,050,959,521,587,570,198,530,391,458,023,
867,743,360,362,609,309,049,187,497,497,860,726,278,679,651,996,739,588,554,
760,638,530,472,558,940,425,303,505,615,883,550,037,320,064,084,502,802,805,
092,856,573,497,835,939,914,669,626,822,306,444,563,449,659,128,643,586,566,
170,150,445,212,813,675,803,782,515,168,173,511,547,332,067,065,370,893,571,
324,091,275,595,965,458,369,849,421,688,626,044,380,738,111,126,810,596,899,
309,511,367,399,083,092,436,336,975,369,097,411,216,023,650,749,759,413,996,
146,299,165,769,045,813,365,143,106,267,186,816,108,313,766,812,392,752,728,
561,966,740,600,358,711,040,301,203,718,958,826,322,596,028,079,867,603,992,
140,376,179,506,953,069,537,587,165,128,769,686,876,868,443,024,837,294,722,
437,839,529,981,337,536,862,700,932,752,069,207,418,135,334,360,780,402,323,
382,537,954,647,072,547,827,601,561,109,377,470,331,390,978,687,877,304,113,
143,169,691,277,259,799,696,290,032,438,030,639,561,929,558,431,833,329,166,
968,302,090,371,949,795,654,975,965,768,000,564,908,119,180,590,513,345,645,
681,560,048,899,929,937,216,500,924,441,178,987,465,549,547,473,060,959,191,
369,774,021,176,282,407,740,790,729,916,660,722,832,640,460,375,191,491,932,
463,205,477,601,713,141,126,519,510,714,060,852,125,817,666,338,466,985,506,
917,559,044,107,696,804,898,039,896,746,357,387,990,590,856,676,124,172,046,
314,146,572,986,042,675,919,956,857,622,906,877,004,577,433,368,977,700,363,
210,829,705,482,669,397,211,913,409,234,630,053,944,299,407,900,502,850,941,
570,175,993,322,714,431,354,903,065,138,623,554,298,072,874,620,018,707,754,
658,849,529,048,232,990,727,678,640,591,559,745,320,891,257,849,855,763,004,
109,700,565,494,437,515,386,512,150,036,698,283,264,486,846,135,611,541,604,
791,926,503,492,368,822,202,085,162,668,410,918,793,964,302,927,059,958,607,
996,576,610,855,819,925,098,251,787,578,299,826,800,027,175,668,786,325,635,
289,156,340,729,368,676,947,899,425,436,426,691,119,758,202,124,939,244,939,
174,406,011,891,082,192,671,753,280,673,517,195,412,506,007,253,995,268,265,
152,387,639,161,099,491,167,222,474,513,179,227,274,535,552,317,288,032,435,
255,556,011,630,937,402,753,096,993,638,818,686,235,141,186,705,936,797,307,
665,810,976,393,942,659,274,197,833,408,742,451,073,207,731,113,304,970,641,
474,930,406,925,033,350,734,168,619,724,425,161,722,366,803,591,138,565,133,
155,353,433,860,912,711,015,749,396,063,737,395,381,307,216,454,775,058,545,
210,290,091,595,829,865,055,724,871,548,722,600,626,600,975,458,794,994,023,
249,003,294,579,890,932,420,738,699,508,226,460,663,932,400,226,080,485,944,
747,075,402,638,103,939,610,228,696,585,470,629,896,329,893,773,739,047,494,
103,382,706,598,199,206,132,931,919,588,234,885,102,784,927,937,355,438,198,
489,501,749,088,310,954,910,079,956,729,373,911,663,612,590,340,174,640,076,
956,918,083,164,659,862,799,730,702,041,689,495,210,945,719,170,149,634,022,
745,039,048,526,295,876,276,090,174,545,599,879,124,661,561,044,979,398,528,
138,603,208,560,214,929,806,822,506,037,386,968,436,359,575,336,936,330,516,
039,103,473,755,435,326,137,219,564,271,175,471,024,773,684,492,960,871,614,
010,990,267,382,412,639,318,641,841,065,646,105,399,657,244,622,427,684,027,
383,873,152,137,721,755,747,711,311,596,087,110,956,008,007,605,039,455,591,
759,161,239,629,091,084,591,303,317,747,049,752,765,982,539,354,173,105,474,
732,868,691,732,518,712,154,448,552,184,820,509,461,853,019,706,991,285,738,
321,234,098,991,771,977,735,676,976,513,174,189,541,844,024,170,068,353,599,
424,012,794,249,160,133,925,897,782,896,063,395,015,512,000,143,524,211,480,
995,964,400,547,851,494,444,310,365,933,115,165,990,713,898,245,775,846,852,
643,964,252,765,725,742,116,623,766,717,893,283,136,797,765,217,109,787,289,
975,411,135,769,879,855,091,274,907,324,978,410,568,187,408,351,746,763,635,
079,648,880,358,341,648,814,642,492,977,536,226,349,786,108,264,900,571,463,
361,555,993,194,226,664,622,009,187,210,522,417,554,653,038,124,384,514,987,
000,527,675,654,445,288,825,096,873,306,248,810,084,578,253,460,949,752,909,
685,396,683,489,908,280,366,652,201,561,249,554,399,706,097,498,827,898,576,
106,894,209,857,793,902,957,543,417,483,216,803,574,293,520,995,862,213,635,
320,440,595,835,096,207,519,394,478,490,256,321,755,102,094,574,833,307,526,
185,337,634,334,419,488,884,200,733,628,036,297,155,833,072,962,054,932,957,
533,086,062,744,351,734,671,616,616,110,972,897,727,037,117,062,049,841,691,
047,478,169,148,066,161,126,210,962,565,081,264,797,895,502,657,113,068,703,
668,633,666,627,000,070,395,320,626,498,480,930,737,591,662,322,659,881,929,
123,368,169,220,985,577,740,762,119,214,927,614,296,208,048,657,282,232,032,
509,761,805,473,466,166,747,501,840,014,139,103,529,828,915,724,449,260,464,
833,011,300,422,558,546,137,596,407,284,788,188,394,343,122,538,386,314,507,
389,169,055,444,290,694,844,273,086,982,516,238,838,331,794,920,494,218,004,
146,579,776,954,451,473,421,988,713,393,615,241,878,426,921,859,187,579,430,
337,884,399,969,976,148,510,717,916,924,227,600,711,734,977,549,905,050,396,
294,690,664,240,739,523,258,676,841,099,005,013,899,487,853,708,304,164,830,
333,380,495,370,833,662,550,545,286,613,547,603,141,544,505,063,319,283,877,
881,155,542,913,287,582,133,669,075,634,060,980,162,972,359,067,543,371,684,
989,638,009,656,334,196,234,155,159,176,815,341,995,184,700,156,632,766,372,
111,862,469,687,971,146,280,293,590,331,592,893,563,304,426,071,975,708,516,
788,577,198,914,249,987,614,180,544,967,486,344,762,087,752,468,161,872,855,
703,973,008,448,496,389,715,258,791,436,283,538,298,623,859,038,777,101,501,
718,413,565,785,816,524,725,087,471,908,065,863,129,403,610,331,504,070,043,
040,834,108,211,857,560,596,432,973,862,533,890,208,072,476,800,032,176,983,
824,484,915,765,237,305,248,119,097,367,387,442,771,206,403,159,189,238,213,
876,648,443,367,371,026,680,774,158,523,040,327,403,127,272,167,765,478,810,
647,175,749,769,913,901,311,340,717,822,314,181,733,565,325,292,476,274,996,
253,046,678,042,097,829,296,029,840,375,524,748,108,820,717,152,280,451,974,
763,839,387,908,126,651,562,751,784,753,302,068,390,228,539,489,516,961,351,
071,791,433,991,720,384,498,036,184,041,151,061,355,947,397,569,925,188,890,
529,379,435,246,134,419,548,812,139,171,896,119,575,191,994,926,264,640,285,
131,671,780,370,493,694,470,314,408,314,651,460,391,641,226,493,904,836,018,
167,169,525,203,169,764,857,262,996,224,235,860,681,965,458,341,299,945,346,
914,742,030,149,991,976,988,311,264,763,031,781,879,205,561,573,195,322,465,
088,925,369,188,886,684,537,635,579,364,141,162,223,887,266,563,255,282,035,
276,445,023,463,711,021,684,160,312,901,565,690,449,026,008,624,216,018,197,
642,086,226,245,992,363,051,961,922,487,294,082,078,167,849,253,265,057,241,
819,061,912,766,655,050,096,500,411,678,890,252,344,728,162,160,623,228,575,
376,350,471,135,208,044,434,254,444,927,465,712,252,004,428,737,519,926,321,
680,616,969,651,689,378,588,964,634,165,113,730,298,519,351,798,632,355,991,
059,354,708,815,011,248,587,201,178,157,121,501,339,950,022,344,172,536,560,
580,629,998,933,916,812,639,465,538,900,244,967,518,506,810,268,503,077,931,
065,976,770,508,720,900,793,701,700,480,643,080,125,255,786,585,016,298,315,
224,404,636,513,152,186,614,366,289,450,015,434,014,162,367,355,492,602,249,
088,822,005,509,251,304,199,943,412,585,773,297,614,577,859,961,447,268,785,
270,491,972,267,438,267,715,776,510,525,082,963,550,030,271,742,388,959,582,
349,794,836,954,846,976,233,953,159,783,261,389,575,252,390,885,855,154,448,
760,005,966,293,611,305,695,485,346,355,409,899,506,603,067,023,559,915,078,
938,172,746,288,566,395,313,537,786,570,110,784,086,756,295,925,108,248,509,
447,220,923,585,077,518,966,301,637,347,419,666,763,712,718,765,496,396,292,
060,406,458,178,108,627,315,879,790,838,702,867,279,461,032,615,150,616,970,
432,523,345,147,388,072,205,556,574,937,128,687,469,483,351,198,103,897,769,
628,125,859,269,646,522,827,458,519,004,771,405,101,800,548,959,794,689,814,
660,174,143,899,859,222,149,225,563,437,804,818,604,340,465,874,751,120,617,
043,930,157,279,896,392,154,030,497,619,175,116,513,323,308,708,872,807,964,
632,727,167,182,951,598,182,214,666,531,098,141,540,106,779,915,949,893,484,
340,338,808,064,129,554,080,776,791,355,649,679,328,322,717,419,443,453,347,
519,143,993,322,896,238,114,396,040,685,802,516,594,958,215,244,332,573,677,
766,167,799,033,803,381,188,087,723,235,841,444,985,459,676,360,935,176,812,
576,112,067,432,510,324,522,112,736,092,682,994,196,818,976,843,478,595,410,
711,681,014,508,389,263,053,299,416,471,490,831,711,730,752,836,858,724,247,
496,285,045,554,922,242,709,523,665,397,005,579,593,927,478,892,908,618,964,
960,313,486,071,426,725,021,727,690,978,487,960,913,846,589,103,578,745,482,
097,187,225,100,547,954,959,410,925,454,663,562,361,229,907,064,137,517,901,
683,244,781,769,443,448,578,218,531,250,272,546,985,915,806,490,528,728,409,
167,348,894,805,860,163,331,031,239,979,430,085,711,892,963,726,188,461,649,
154,046,812,111,690,153,372,149,393,783,478,689,778,054,545,061,972,457,216,
475,648,099,193,518,295,178,198,966,879,328,808,410,847,432,050,139,157,924,
833,427,184,050,825,473,053,313,130,788,592,208,925,464,097,363,454,817,648,
311,111,469,484,211,701,153,773,204,688,718,724,548,366,820,694,613,948,083,
483,203,553,182,863,782,987,746,915,868,394,249,054,431,289,963,396,957,050,
326,298,906,472,858,315,355,997,337,297,061,138,332,551,828,748,752,399,943,
374,452,277,171,702,266,077,165,820,670,978,378,402,895,852,108,634,176,600,
342,906,226,827,821,547,656,514,388,381,584,514,469,443,061,845,224,297,014,
893,487,875,826,534,590,219,186,536,086,387,077,536,623,463,407,029,076,626,
888,250,943,326,192,865,905,676,962,135,753,706,953,082,800,014,102,104,636,
361,925,570,630,422,807,721,852,524,540,843,975,321,030,417,683,432,972,271,
772,167,447,532,863,060,648,462,807,629,496,266,898,012,127,819,796,119,171,
332,514,768,564,442,153,205,418,804,824,018,866,165,451,435,451,797,208,517,
907,912,664,984,679,317,051,489,529,224,104,377,009,167,321,999,753,404,627,
853,152,793,231,370,076,113,326,860,203,936,083,119,047,445,809,461,275,562,
639,630,773,950,249,373,152,334,059,469,224,192,393,667,529,719,692,738,348,
490,787,163,338,363,516,990,510,966,862,093,592,146,896,601,427,021,131,315,
253,623,391,872,631,106,546,608,714,752,429,306,252,478,310,610,997,156,481,
784,059,117,780,282,943,255,667,011,776,140,761,936,220,099,917,814,994,706,
220,540,979,896,094,867,736,914,614,498,965,839,167,639,736,089,122,608,566,
862,467,909,108,511,382,570,635,793,570,074,985,812,486,438,699,302,123,461,
800,870,661,281,735,285,989,769,166,988,188,823,639,940,129,443,780,140,446,
014,231,141,763,945,894,486,494,695,109,729,922,330,569,410,232,328,370,924,
072,308,622,861,078,511,600,259,100,754,199,772,689,748,377,615,573,747,494,
892,989,865,293,004,384,213,911,165,944,425,721,697,086,357,427,557,229,215,
717,477,014,252,343,834,359,280,383,593,457,172,943,258,977,714,126,241,669,
298,507,477,348,228,470,909,848,030,558,766,164,312,703,296,484,227,612,625,
339,293,320,572,765,627,895,141,005,297,914,884,828,704,449,842,007,112,835,
111,335,896,453,871,939,378,891,772,896,848,389,028,092,416,135,107,395,004,
535,646,148,454,318,683,844,768,441,901,499,746,396,334,672,010,264,240,290,
126,896,560,470,262,864,795,295,415,872,809,607,445,105,265,709,663,580,881,
193,947,326,317,133,354,891,871,802,931,962,047,479,406,689,695,675,892,024,
134,920,833,277,634,557,158,967,670,731,376,717,244,632,215,449,455,159,366,
593,485,498,912,677,778,813,237,721,414,826,304,087,380,078,575,690,112,375,
021,452,219,935,740,902,235,546,816,780,704,488,483,379,242,576,162,027,107,
573,617,705,069,869,678,360,335,590,872,624,529,245,928,400,755,608,657,046,
887,241,422,232,194,281,259,696,843,219,597,916,433,958,860,925,019,317,813,
560,278,636,767,424,580,617,889,905,095,226,549,171,716,860,583,691,928,956,
542,131,295,128,762,452,310,196,058,078,470,675,963,434,171,401,676,883,736,
727,654,284,517,715,206,027,925,805,372,253,456,387,556,573,975,990,953,240,
646,198,552,197,742,514,550,565,718,266,009,675,114,245,761,182,042,381,293,
264,691,549,785,673,376,836,834,597,957,885,511,459,524,495,555,000,579,052,
875,252,470,349,725,358,357,406,246,720,422,406,414,230,057,645,916,466,552,
053,528,172,489,294,149,646,200,641,942,975,106,757,067,699,969,082,942,906,
266,266,164,217,875,381,547,660,863,924,574,304,242,301,527,669,327,695,321,
682,436,280,857,394,740,756,415,808,309,466,746,837,139,264,700,555,671,820,
278,393,568,536,280,093,564,103,645,132,994,049,997,698,596,984,124,165,813,
609,303,350,835,798,039,531,020,711,251,369,812,178,360,873,464,406,649,951,
574,337,858,364,750,733,927,014,248,928,383,841,332,986,873,106,055,378,826,
236,071,013,674,889,550,675,605,968,976,092,848,531,121,127,493,400,409,809,
938,995,805,140,467,134,520,392,932,701,474,626,732,645,134,441,342,782,262,
019,032,644,023,589,110,957,718,633,251,215,475,615,592,171,698,399,517,444,
119,888,779,023,707,471,912,676,930,827,387,520,692,496,274,996,223,477,307,
465,377,621,578,929,062,939,379,626,857,742,228,752,513,780,513,510,222,967,
511,811,985,260,891,104,439,097,961,925,560,419,953,889,007,858,843,948,421,
150,545,824,742,747,528,260,039,220,842,285,055,653,530,500,390,987,419,192,
268,798,965,300,923,293,744,532,741,545,644,915,456,943,973,525,249,366,496,
349,651,814,655,233,538,013,078,105,991,330,618,431,976,830,554,913,399,118,
963,479,166,721,010,155,871,833,977,259,955,849,209,386,462,496,306,651,832,
034,988,313,931,762,406,772,350,142,388,472,488,177,433,083,194,496,430,977,
552,867,386,271,007,416,606,067,333,433,574,610,350,534,390,081,597,322,621,
797,715,179,293,599,667,715,178,301,523,413,020,953,620,653,069,970,166,483,
047,565,933,735,832,601,342,450,947,587,445,991,755,454,907,439,267,977,284,
032,300,198,309,171,618,990,467,679,319,951,009,931,424,227,611,777,224,574,
227,105,162,752,149,629,501,001,147,999,412,486,758,676,911,184,667,494,955,
593,347,015,907,765,503,069,670,685,075,964,266,079,808,580,659,760,545,773,
771,644,194,941,609,624,499,742,825,671,357,537,671,812,839,442,790,703,400,
787,527,534,143,386,510,344,821,900,185,147,249,815,453,648,671,759,539,061,
425,422,384,982,462,762,051,779,870,402,637,489,071,133,143,923,809,625,890,
727,219,375,654,962,825,960,742,027,695,431,177,570,831,250,548,808,991,507,
163,174,762,219,234,521,608,504,476,207,946,069,747,252,261,322,303,524,130,
724,718,050,988,771,183,024,235,498,273,980,344,502,578,011,688,881,745,523,
363,475,044,045,375,301,466,614,546,798,159,843,127,154,016,879,620,431,608,
276,129,954,805,568,056,830,713,056,325,172,567,885,812,334,179,979,931,554,
215,449,962,257,161,174,831,678,057,804,143,450,447,673,905,928,921,351,789,
152,254,141,979,235,608,148,617,731,934,921,939,656,773,357,875,377,064,243,
889,739,347,799,005,152,028,192,480,737,593,245,118,965,525,408,000,117,320,
040,734,011,211,806,709,012,164,236,078,901,755,726,197,400,152,525,125,833,
394,536,343,050,866,488,575,240,668,140,013,315,730,553,908,465,496,383,955,
310,689,398,251,591,694,848,852,329,054,427,788,687,529,442,417,073,908,178,
051,200,200,287,291,734,308,309,055,117,130,200,392,139,524,228,786,191,349,
719,786,591,824,908,132,938,045,213,709,611,659,753,795,984,625,960,415,799,
185,710,386,425,367,838,536,659,761,109,715,952,226,096,146,779,272,680,265,
926,750,126,336,989,895,576,270,641,940,558,442,390,306,349,101,063,987,470,
718,936,337,855,660,509,845,986,498,923,495,259,284,928,415,906,950,890,379,
486,869,628,351,898,400,803,615,987,972,919,096,922,596,632,968,180,767,513,
007,065,122,505,268,748,860,053,565,452,990,279,651,420,436,886,030,388,992,
794,145,775,149,188,603,797,139,164,080,439,840,455,150,228,174,885,934,308,
502,915,199,662,737,175,510,581,404,878,916,786,181,605,010,334,397,509,042,
441,335,166,057,975,147,833,389,350,774,447,572,260,114,460,175,817,916,366,
147,394,907,675,011,076,786,357,700,259,909,639,115,289,094,538,513,553,257,
149,224,063,609,076,770,407,165,605,270,100,090,791,740,844,398,045,775,028,
842,794,198,571,939,533,480,912,887,474,521,617,440,059,469,338,727,955,606,
650,925,477,179,883,370,928,398,547,837,707,209,102,676,486,276,720,779,149,
033,219,112,664,706,681,642,044,404,193,043,721,408,742,897,373,244,494,785,
359,265,840,103,521,028,210,387,700,253,277,133,816,897,545,357,850,460,378,
934,330,903,352,677,429,062,565,313,329,196,415,944,961,584,195,127,218,463,
409,294,549,099,118,193,239,798,952,895,457,286,138,037,056,221,224,643,087,
922,097,191,812,673,661,266,645,639,724,235,832,744,432,850,737,709,081,765,
499,168,585,840,990,870,452,123,864,422,998,610,833,543,804,931,364,336,754,
368,284,817,101,011,561,626,658,604,167,928,076,230,125,005,458,033,719,186,
309,765,105,109,936,378,885,732,131,149,278,743,031,997,328,062,471,037,269,
111,465,307,293,583,612,689,903,600,395,774,884,705,317,343,536,239,185,010,
604,006,860,802,981,612,046,840,503,127,581,024,835,240,383,196,510,035,389,
076,124,480,028,098,426,266,933,290,757,960,466,707,455,772,841,594,367,181,
526,380,877,915,867,868,086,525,712,233,729,652,450,285,546,566,183,607,672,
881,168,105,604,203,451,190,950,128,370,401,624,941,738,857,935,530,666,373,
868,898,617,274,824,276,124,455,852,507,602,520,762,589,372,361,200,019,779,
274,064,654,749,815,889,609,477,524,164,999,792,021,170,939,797,622,923,770,
790,541,216,111,656,921,720,179,421,058,891,603,515,394,166,722,839,845,249,
180,516,777,659,524,132,958,509,838,962,358,205,440,171,452,341,829,623,893,
835,722,080,449,654,057,882,285,395,821,128,284,745,352,949,102,647,848,071,
686,487,130,550,654,446,146,612,004,975,062,042,740,218,931,190,575,518,409,
397,992,073,314,879,695,567,135,870,204,937,000,682,773,886,627,559,703,925,
903,742,898,604,937,353,063,224,523,556,563,676,482,558,006,926,128,426,243,
383,554,027,351,830,265,774,992,306,536,801,750,435,724,818,503,426,328,754,
129,831,515,003,645,415,681,428,042,394,419,177,474,307,195,861,634,204,188,
705,480,028,512,233,301,338,774,971,304,953,764,988,373,048,752,508,837,685,
982,459,292,850,012,230,897,641,875,499,568,698,062,302,244,535,887,301,701,
004,319,718,523,710,587,388,143,505,603,199,594,560,095,215,118,843,775,689,
156,750,903,326,629,071,887,343,745,900,433,909,069,197,380,246,515,687,743,
121,000,579,253,195,231,184,544,412,765,422,957,619,665,731,487,061,026,225,
102,287,021,477,874,465,401,049,451,534,928,165,597,311,834,023,927,108,145,
473,594,496,593,834,413,248,510,674,282,780,802,524,441,661,889,196,377,476,
117,760,408,736,965,118,185,649,871,320,237,302,338,931,532,787,463,556,066,
185,637,419,983,159,192,254,390,799,237,660,806,974,128,424,897,240,956,174,
116,523,931,395,984,887,148,866,231,364,347,657,748,701,258,974,676,063,800,
277,420,192,320,581,967,634,312,674,380,059,964,254,577,056,717,362,078,008,
807,574,294,725,911,328,659,615,847,011,118,520,417,598,519,005,698,137,761,
197,713,697,083,792,037,851,168,630,155,393,139,640,948,871,593,581,917,218,
916,098,770,657,207,396,462,170,388,229,729,878,865,640,904,624,071,732,369,
322,819,196,740,136,417,072,473,073,840,327,928,153,155,263,477,262,471,780,
598,506,161,754,732,510,934,095,688,309,091,231,697,125,169,582,813,287,171,
527,851,639,789,133,746,979,583,492,322,756,936,830,508,705,101,052,586,162,
288,537,905,554,947,530,587,581,454,865,778,218,858,845,245,607,483,174,130,
910,300,651,843,544,260,022,416,328,197,166,182,308,207,224,839,583,144,995,
502,708,125,086,351,637,914,465,197,822,689,191,671,180,696,644,753,147,245,
075,338,262,615,377,923,245,623,186,895,670,769,645,845,705,620,983,971,073,
615,841,558,222,547,180,579,760,080,856,519,459,446,456,603,245,043,823,086,
391,224,313,076,373,535,689,785,758,458,970,278,599,890,452,667,904,878,791,
683,087,692,380,957,740,823,747,660,632,342,791,620,886,575,059,627,427,314,
152,835,956,471,658,451,296,198,060,996,915,533,006,820,212,384,517,226,841,
195,280,492,481,320,888,199,550,737,352,949,569,659,483,011,078,308,658,101,
796,892,511,197,864,632,210,637,255,541,100,146,105,733,711,291,137,166,759,
465,028,586,765,639,250,043,804,437,059,152,933,278,313,577,179,305,758,780,
824,743,648,256,482,327,352,094,029,563,061,202,318,563,064,855,895,551,865,
870,918,469,566,038,080,168,128,916,772,277,575,001,149,570,580,502,921,457,
381,569,862,637,305,073,466,379,225,337,309,284,679,941,031,934,006,509,834,
435,733,992,123,544,943,626,859,956,590,797,668,496,296,694,763,561,617,921,
012,027,084,505,991,399,520,247,232,329,247,121,804,729,880,687,970,631,371,
182,866,201,956,603,762,589,999,181,046,488,497,016,552,878,340,388,207,033,
623,753,275,029,032,991,761,249,647,151,855,070,911,236,062,001,974,084,063,
806,976,524,209,058,621,086,794,923,151,809,587,146,626,051,012,633,718,880,
531,713,552,237,787,601,859,983,079,936,936,086,204,757,638,753,115,050,924,
716,023,879,254,907,778,839,019,672,876,371,478,148,240,398,151,232,341,667,
983,316,456,718,567,839,763,499,385,581,021,618,121,011,460,796,358,645,923,
592,357,658,013,780,664,076,805,899,232,575,145,249,326,031,421,889,425,576,
905,799,876,368,788,979,648,987,166,374,734,710,072,499,145,365,758,643,889,
308,111,695,684,168,877,717,173,495,170,360,949,546,340,210,701,333,625,069,
718,241,060,324,874,560,057,975,570,653,535,119,487,611,999,137,571,899,878,
908,875,305,781,402,100,883,216,757,994,544,525,222,192,746,241,550,694,676,
930,300,155,965,136,538,362,024,352,159,803,070,775,152,492,604,252,138,606,
268,402,106,538,198,052,998,765,882,642,649,056,294,836,448,507,595,478,647,
785,379,714,023,331,862,090,111,534,805,013,265,697,416,200,292,643,796,848,
286,924,582,943,246,636,843,304,491,425,765,514,913,138,398,151,239,805,767,
227,407,934,028,696,071,854,213,397,774,758,654,736,572,435,839,379,858,235,
177,073,332,058,184,944,831,426,457,162,432,147,733,925,262,448,257,547,673,
245,234,741,003,891,052,147,303,620,565,977,087,376,352,704,827,268,892,210,
477,662,837,874,228,223,545,365,500,391,284,443,046,647,870,774,979,685,630,
814,658,947,276,444,521,338,386,200,211,222,630,760,163,091,762,093,070,132,
415,427,419,342,981,362,111,985,061,931,005,663,965,337,056,503,168,567,127,
561,470,274,352,480,179,637,177,846,557,351,800,070,290,865,063,635,735,263,
521,925,325,210,164,047,558,145,676,664,819,034,782,858,010,155,279,869,706,
061,429,200,270,835,910,786,828,712,215,276,053,374,811,646,656,613,779,852,
295,616,567,559,563,274,874,109,865,101,704,829,489,401,075,197,101,921,526,
244,134,702,488,645,290,475,361,892,261,727,444,840,983,540,199,235,161,839,
488,944,354,660,630,169,207,243,355,899,948,993,119,922,026,679,961,345,181,
232,187,316,524,650,675,172,933,791,300,926,663,862,752,323,950,644,301,203,
530,111,487,650,990,261,008,728,638,574,749,556,145,167,984,438,028,436,192,
611,499,322,137,103,068,685,654,987,281,523,343,348,905,215,196,333,789,785,
154,938,549,368,845,879,978,074,247,068,030,477,853,158,245,618,088,981,683,
334,518,362,250,121,217,660,982,466,701,113,855,188,863,129,591,381,891,798,
847,401,442,282,371,040,933,720,920,496,105,167,327,653,595,347,490,963,390,
173,017,362,756,971,860,569,393,694,091,842,821,992,150,333,987,318,660,844,
274,173,573,411,429,913,231,117,441,929,038,827,843,362,566,281,160,898,155,
767,465,429,233,357,820,156,674,915,856,411,116,015,573,154,422,239,081,129,
917,138,411,113,889,148,916,491,866,471,345,564,471,931,672,103,536,667,447,
334,595,395,549,946,680,436,123,826,837,885,362,887,215,961,741,836,698,846,
363,563,532,472,173,406,144,486,316,892,841,107,571,158,009,000,053,261,739,
366,876,537,988,786,706,428,020,315,362,165,878,478,533,776,851,703,705,520,
834,326,126,548,097,139,132,386,645,197,555,979,964,393,094,323,443,312,856,
718,304,324,288,260,662,815,263,242,600,299,919,278,440,513,590,385,544,105,
517,606,529,255,325,337,342,178,794,894,139,775,906,427,953,448,699,350,755,
600,038,314,792,186,013,658,952,169,173,407,965,953,765,658,964,152,097,563,
624,316,820,557,363,246,580,683,849,120,442,614,226,096,997,513,039,922,084,
331,397,691,031,027,330,315,381,304,182,797,316,842,971,697,289,434,007,465,
073,696,952,221,628,623,642,658,288,996,318,871,770,150,602,845,273,570,356,
664,409,341,766,981,206,097,396,066,405,613,107,207,196,737,203,657,256,725,
793,690,704,717,811,913,743,014,724,864,609,466,905,878,878,953,268,552,905,
928,986,892,015,767,954,914,599,358,265,560,257,783,568,165,079,896,552,819,
386,148,986,384,553,457,393,255,177,344,407,105,846,823,901,438,343,478,901,
064,108,544,094,258,666,109,151,215,303,402,141,164,535,765,837,935,392,613,
713,668,470,092,263,408,732,683,562,292,611,437,011,808,915,939,012,313,953,
240,661,772,448,438,451,231,651,876,430,298,807,106,032,301,693,568,069,651,
424,688,177,812,188,557,095,543,961,734,683,301,933,302,518,406,190,541,206,
299,370,661,942,697,160,343,509,029,102,193,645,692,969,416,063,061,353,849,
646,517,069,930,855,422,378,887,667,325,008,896,732,822,640,174,853,740,822,
738,169,616,146,898,411,559,863,777,273,658,238,704,591,568,738,004,383,556,
813,926,349,348,887,952,818,539,520,937,764,607,460,728,236,831,747,390,432,
240,160,231,143,019,948,407,205,060,411,889,582,357,711,983,667,539,800,418,
361,102,953,393,317,652,478,915,835,687,070,416,097,810,426,621,382,071,701,
242,790,513,080,598,867,901,755,804,325,977,682,596,428,262,715,964,788,878,
427,873,473,133,353,705,847,421,881,467,305,951,212,171,752,698,530,437,571,
623,470,413,342,220,043,109,108,523,732,070,928,835,460,544,754,392,192,471,
942,104,829,595,215,490,057,694,192,111,618,704,083,726,415,519,447,400,625,
201,930,247,662,542,738,241,298,632,498,753,964,433,037,117,963,243,228,517,
604,254,995,685,966,443,295,889,245,328,617,859,320,219,934,230,162,900,824,
171,117,628,786,626,751,987,516,183,621,569,001,026,302,619,616,310,221,642,
948,366,634,748,215,908,047,071,528,610,295,233,887,064,108,413,276,679,902,
515,437,372,841,679,721,606,451,658,731,257,734,764,564,869,669,970,353,682,
335,655,578,752,685,031,456,380,508,459,019,953,142,138,672,990,753,307,601,
216,780,155,356,511,451,432,270,282,617,495,577,376,976,281,435,429,001,860,
837,789,089,505,881,453,879,617,162,129,600,866,388,980,250,913,058,772,818,
272,454,399,413,987,076,676,088,431,605,568,057,266,564,625,026,001,229,049,
252,875,561,973,814,565,522,521,054,114,630,277,268,472,168,317,026,931,310,
076,099,101,902,099,439,483,231,741,248,397,231,262,430,120,103,975,186,565,
412,110,884,048,132,500,287,651,775,641,129,931,560,533,339,975,276,245,855,
432,356,325,268,137,689,557,885,728,503,958,111,875,258,910,470,582,267,619,
990,613,480,877,966,846,267,549,065,691,227,685,178,067,343,868,025,615,573,
735,160,343,422,338,419,751,075,996,209,591,040,333,656,787,112,872,906,656,
909,637,833,525,041,717,546,826,503,526,112,033,861,231,670,149,653,099,071,
186,738,473,537,462,327,871,580,682,829,781,717,044,664,769,432,776,467,026,
515,089,820,014,930,403,875,596,258,070,955,758,860,050,695,409,384,438,969,
095,960,731,442,422,344,541,693,433,200,943,829,089,561,151,781,793,325,628,
715,627,309,345,284,916,599,675,581,882,241,114,015,230,718,325,194,811,495,
335,860,145,555,524,798,152,749,917,741,126,758,497,920,076,403,279,206,710,
991,641,524,234,444,480,052,568,171,787,358,988,900,929,382,875,282,351,799,
532,278,806,907,126,772,473,794,098,264,097,384,321,189,659,522,166,097,727,
297,381,049,372,171,424,453,569,774,713,991,567,731,852,003,616,429,285,449,
350,313,063,335,404,987,472,002,927,688,473,893,572,381,383,891,693,835,982,
545,978,107,386,366,584,592,406,505,522,773,871,311,374,145,857,866,660,136,
769,097,551,029,339,357,793,740,253,078,393,241,712,411,647,904,813,730,414,
829,889,280,276,435,832,221,557,827,968,409,228,605,391,007,352,100,147,143,
505,452,669,198,648,697,272,140,518,176,120,990,212,390,568,869,685,454,203,
889,432,852,595,426,225,562,939,092,730,183,620,487,681,646,805,227,337,000,
404,556,072,250,679,865,259,356,937,582,763,330,812,614,219,487,984,041,153,
113,804,551,605,488,012,694,112,611,488,424,646,285,745,006,587,084,392,793,
855,254,184,736,116,459,822,220,660,082,580,866,955,783,353,965,664,796,470,
373,248,976,430,445,580,638,126,776,349,094,519,315,624,420,946,083,870,151,
075,370,601,842,278,619,516,052,992,473,700,250,768,585,030,026,977,586,594,
377,249,912,463,436,071,678,928,462,939,123,232,893,748,084,725,705,141,364,
616,550,706,954,445,563,348,352,156,802,806,391,900,150,699,135,394,670,780,
963,886,350,126,344,021,525,930,199,112,732,266,116,139,131,898,138,916,916,
979,545,043,844,038,690,250,036,049,148,276,256,172,309,891,469,848,008,412,
471,246,044,824,980,339,402,265,552,029,757,070,844,393,858,146,246,015,711,
011,009,364,498,074,923,170,350,477,934,950,169,077,096,633,210,091,346,194,
624,089,331,762,419,884,318,788,088,489,999,272,798,789,371,778,142,958,375,
117,781,625,277,324,732,777,586,501,276,612,842,605,565,322,635,805,347,861,
190,804,855,976,038,451,114,206,007,427,895,697,099,616,136,558,787,320,445,
817,092,857,599,866,948,452,802,266,652,661,643,032,091,812,876,282,406,631,
257,026,229,428,424,939,509,683,585,786,980,183,100,168,897,090,723,720,466,
082,770,915,121,345,816,720,015,874,493,490,581,703,279,908,348,067,885,860,
730,459,090,069,132,708,382,805,607,181,405,519,799,891,390,525,708,158,617,
922,030,549,989,863,044,934,521,729,657,278,291,150,887,198,837,250,415,879,
554,966,379,349,873,635,781,196,764,236,600,796,393,733,284,931,908,369,201,
963,264,255,241,183,178,347,454,059,653,527,435,412,127,007,688,350,932,152,
909,954,396,178,314,918,906,251,358,922,120,872,112,537,387,951,214,953,725,
149,934,097,782,080,530,569,889,885,242,851,748,302,919,383,744,407,701,286,
358,218,544,205,211,441,043,849,373,547,245,381,641,626,837,420,731,626,009,
828,926,923,529,150,535,608,083,586,992,602,672,231,631,502,668,365,443,675,
747,743,794,195,463,595,493,446,452,670,366,706,319,187,066,083,893,300,516,
058,719,392,878,552,005,488,596,008,304,041,536,557,213,533,480,548,822,365,
023,341,739,449,531,828,350,237,239,385,373,291,561,273,822,458,202,331,771,
897,259,488,851,029,411,260,734,589,195,143,196,554,754,345,584,361,328,073,
166,818,953,603,756,494,377,844,681,705,462,820,226,918,786,004,999,741,982,
996,994,351,183,575,409,997,531,780,436,936,126,056,047,776,264,462,445,694,
224,624,643,192,432,287,557,173,890,804,715,172,223,851,876,974,173,394,635,
548,513,837,053,179,864,030,854,539,829,838,854,866,037,517,042,965,291,586,
743,445,172,507,313,103,422,045,006,465,125,895,461,634,968,405,735,472,785,
288,026,373,139,720,815,611,826,892,005,409,333,701,167,467,405,325,159,986,
065,159,726,699,623,420,526,876,856,790,593,122,351,771,413,038,964,743,570,
229,157,051,585,720,385,972,469,167,346,183,598,585,433,536,564,114,253,070,
865,153,153,340,471,371,416,526,975,662,879,788,647,488,866,428,874,986,204,
432,984,217,980,700,088,617,848,134,590,471,156,052,170,242,392,720,473,540,
135,491,783,310,796,504,801,728,901,935,578,322,841,648,816,280,475,088,200,
631,353,296,803,474,899,961,913,694,006,213,249,941,625,494,358,378,289,553,
841,125,806,245,407,451,808,775,138,898,397,545,565,894,241,708,544,930,228,
360,730,776,394,621,772,604,841,826,023,007,042,783,185,757,768,671,042,628,
251,436,165,326,730,938,838,762,033,084,415,168,373,098,270,251,693,189,493,
792,672,615,981,598,911,924,095,632,087,047,203,854,967,592,277,429,429,390,
047,073,734,572,613,696,913,821,577,656,161,079,448,270,283,253,128,891,405,
728,887,945,761,782,449,951,184,791,703,591,941,859,022,277,376,899,594,493,
295,194,293,575,045,907,134,048,302,173,888,093,586,955,842,444,367,504,234,
912,358,887,328,473,761,517,821,341,495,540,800,755,915,183,100,157,746,025,
490,289,898,764,589,609,648,512,230,989,909,880,122,886,853,392,304,325,514,
349,240,322,482,073,853,273,998,527,923,911,781,239,252,161,185,022,190,555,
090,266,612,158,498,086,949,674,890,861,054,319,696,011,163,113,701,933,214,
197,879,990,518,060,694,468,656,545,318,220,242,783,773,026,565,451,591,870,
314,882,819,669,897,649,683,920,408,950,949,602,733,907,699,678,991,489,802,
046,970,508,461,657,220,573,801,028,148,845,199,729,036,145,735,720,215,160,
365,091,401,586,248,073,203,765,454,310,895,179,930,995,810,011,228,264,773,
842,517,246,240,311,242,751,671,937,696,383,295,534,759,877,383,733,795,266,
937,817,692,574,329,167,429,691,974,065,902,302,433,897,800,545,749,794,331,
660,915,649,287,399,198,282,524,746,430,197,122,429,880,270,133,929,100,295,
954,963,603,221,382,333,052,662,078,647,617,871,711,983,330,689,141,347,063,
184,278,959,351,566,650,444,507,843,552,867,647,472,474,672,731,873,273,778,
800,449,337,993,469,208,677,945,830,355,210,975,429,438,577,347,709,108,345,
918,089,268,906,405,471,728,976,672,409,568,612,261,218,515,876,708,869,987,
679,315,462,252,148,690,740,860,114,034,366,908,545,446,903,660,224,139,679,
223,364,581,576,828,651,394,570,079,860,730,008,334,195,551,442,188,686,049,
808,099,962,072,427,050,671,876,233,550,055,671,014,240,466,698,189,775,071,
382,272,854,388,554,308,049,675,184,594,888,141,662,616,906,031,889,065,017,
666,789,763,515,677,624,519,262,328,723,592,891,967,322,865,182,013,316,484,
863,727,697,216,789,826,850,445,581,976,455,839,814,090,853,416,000,913,206,
133,844,747,287,846,377,107,816,207,428,940,607,357,671,359,879,861,736,680,
067,748,307,852,251,506,212,998,021,241,975,046,171,425,443,583,236,746,467,
375,043,875,698,339,995,505,378,259,855,082,172,406,440,044,686,254,856,438,
728,269,946,728,037,415,035,397,856,958,141,225,295,577,511,200,030,698,996,
862,749,947,642,146,005,689,845,695,365,915,617,881,649,558,723,583,502,942,
996,829,668,114,209,072,145,008,377,011,615,785,958,082,612,414,198,066,129,
708,835,680,317,456,447,727,222,091,928,016,202,756,347,502,002,968,909,146,
682,248,016,292,057,652,102,018,082,789,464,118,380,923,439,358,469,047,763,
877,051,934,588,526,486,887,413,538,397,884,110,242,019,462,357,991,794,536,
490,839,840,676,760,446,881,311,244,644,256,354,220,414,817,672,230,639,291,
939,711,127,342,427,509,240,059,538,321,791,966,646,215,427,481,815,616,847,
424,937,415,921,145,829,937,467,093,396,243,535,698,308,158,034,326,140,061,
891,102,475,349,298,937,258,106,222,151,244,255,744,252,907,376,556,966,669,
263,741,180,144,826,472,393,956,225,434,598,276,187,136,472,250,426,497,400,
130,788,497,933,370,978,619,782,484,298,615,510,440,868,515,926,429,354,713,
250,364,460,765,480,077,988,562,798,953,028,139,337,004,141,294,217,444,979,
567,757,700,885,942,462,614,070,456,447,136,116,309,149,096,294,585,247,626,
376,593,510,381,054,812,470,047,607,044,691,285,215,793,054,719,787,200,186,
136,773,036,472,295,252,062,308,159,386,455,383,126,622,335,347,752,877,033,
076,386,664,205,569,176,222,672,440,823,829,736,005,975,080,426,617,216,331,
166,975,361,118,880,400,920,125,306,054,892,810,498,797,182,880,573,996,826,
994,405,575,256,329,849,475,371,965,161,574,355,137,600,352,024,780,436,360,
731,813,929,021,808,905,779,814,488,992,633,110,398,325,062,165,379,766,050,
918,358,090,049,497,723,709,852,973,061,222,394,856,244,346,444,218,422,034,
745,018,598,196,050,164,277,671,173,852,982,682,353,759,815,995,151,137,894,
122,843,312,716,307,315,053,448,950,431,765,702,186,755,202,627,965,010,427,
181,110,320,778,312,849,686,085,797,017,762,639,669,472,426,083,559,448,185,
629,854,584,515,893,981,920,566,937,396,408,262,424,112,562,412,148,186,185,
235,870,164,550,055,279,118,624,650,330,495,253,831,365,644,948,802,523,776,
115,581,902,009,451,046,241,971,781,014,913,346,018,838,680,860,298,936,039,
182,415,382,896,444,395,694,648,391,136,043,394,285,129,297,189,708,216,479,
845,936,532,943,020,883,723,568,472,266,246,504,500,315,387,193,712,146,502,
304,392,558,836,523,960,047,740,716,639,124,933,181,569,004,052,323,474,482,
647,586,955,328,948,165,113,079,681,372,117,237,388,468,390,006,271,425,808,
893,985,420,054,271,149,645,344,803,342,552,649,985,459,877,944,746,489,796,
546,655,223,302,434,418,310,419,378,705,312,767,933,661,649,335,633,550,491,
316,404,184,267,818,180,347,523,222,664,988,366,976,043,365,402,022,305,860,
211,090,242,882,960,885,677,871,569,374,402,743,387,678,292,969,230,839,894,
042,834,658,169,423,384,200,552,950,756,010,635,606,708,432,882,237,361,538,
686,684,493,257,292,349,449,971,912,897,324,361,635,909,301,832,756,263,586,
977,670,194,163,631,375,156,318,299,587,757,534,321,558,311,940,091,869,338,
237,962,242,108,379,329,418,006,931,606,636,330,769,795,463,918,209,423,175,
170,105,256,109,833,164,491,275,397,684,846,025,647,249,764,820,186,785,673,
012,626,594,860,323,676,629,363,969,167,007,020,316,604,600,045,313,673,164,
363,999,515,887,425,341,809,427,322,791,736,899,503,072,358,200,128,579,976,
039,165,571,621,855,914,002,952,780,984,077,391,700,613,344,469,629,649,260,
834,593,404,943,786,731,798,586,966,551,034,116,130,045,483,688,780,681,627,
369,505,619,681,491,492,725,423,311,990,475,412,166,780,059,145,101,330,915,
997,998,934,045,825,505,228,938,494,934,379,906,058,376,900,275,000,614,677,
552,973,465,897,874,072,050,055,649,609,024,819,268,447,923,929,399,170,765,
561,667,426,888,724,628,759,690,045,852,179,474,396,695,343,590,406,930,182,
883,896,912,131,329,585,181,139,402,925,512,366,725,660,363,783,790,116,368,
882,347,419,983,662,390,747,027,840,914,027,108,591,557,599,257,564,526,421,
771,728,787,366,651,849,077,545,600,097,958,360,935,634,648,109,541,144,441,
912,989,489,059,231,558,022,245,809,725,345,117,223,709,308,423,222,877,864,
457,245,904,820,417,807,066,698,333,153,042,970,774,833,010,546,083,974,072,
032,903,392,274,072,881,302,981,539,735,611,862,219,637,710,547,603,431,860,
885,568,991,265,417,221,934,352,489,747,455,226,128,382,396,655,021,594,970,
018,511,052,865,563,184,710,704,044,705,118,724,171,365,024,866,495,285,930,
878,316,406,203,844,366,630,247,802,415,330,175,137,416,496,774,038,597,617,
264,876,054,087,568,842,508,592,460,080,240,650,834,920,179,133,881,868,800,
763,976,978,824,869,915,445,278,958,845,008,311,051,270,456,706,590,279,168,
018,151,844,618,446,968,278,221,796,156,895,718,565,023,144,524,671,429,041,
517,839,461,377,585,175,667,636,543,551,752,953,231,178,543,438,907,758,142,
817,153,307,401,518,634,858,216,784,250,936,073,527,900,893,115,328,853,940,
550,586,910,308,093,018,281,022,191,813,131,171,370,473,621,107,888,423,342,
809,170,885,088,190,661,128,312,850,908,665,953,600,715,692,121,710,111,212,
279,462,652,809,918,438,066,722,321,610,133,430,253,670,048,108,117,553,988,
466,376,572,821,380,111,692,979,337,273,986,078,615,295,009,470,772,236,847,
100,273,104,142,460,714,615,565,624,113,698,065,739,206,791,729,636,506,635,
246,075,724,054,259,803,852,793,086,564,630,306,149,789,889,496,453,808,406,
288,762,999,953,043,612,589,537,429,662,898,592,782,643,664,339,092,790,485,
662,505,913,319,902,139,528,676,281,073,455,623,304,045,940,618,074,218,898,
518,519,468,440,597,264,317,752,690,160,523,059,052,475,111,294,754,434,843,
409,556,402,726,322,005,559,400,795,367,523,399,024,575,912,401,388,055,063,
970,719,851,663,398,856,348,803,323,202,333,963,549,031,322,116,058,390,615,
161,339,506,323,262,204,127,145,126,003,975,843,901,800,794,177,043,412,088,
819,806,507,613,381,527,350,056,352,354,543,538,906,412,100,188,558,213,145,
564,151,201,991,726,352,567,033,074,738,366,496,077,842,762,340,154,534,260,
101,546,628,186,377,312,542,872,152,276,464,790,490,567,589,691,007,265,836,
522,159,930,193,252,698,443,224,896,555,702,338,501,987,314,987,107,091,727,
724,240,358,339,492,893,122,282,367,716,018,926,330,796,515,615,865,892,358,
275,124,706,173,964,678,877,598,733,981,672,918,244,751,310,683,431,337,144,
843,466,472,064,595,719,707,349,435,748,993,492,280,124,369,006,136,424,215,
034,890,314,658,829,110,031,240,308,657,854,229,673,805,535,857,993,667,484,
035,811,079,999,205,859,799,077,310,225,665,287,136,965,739,699,567,042,704,
329,467,090,790,229,144,481,795,170,948,734,685,110,778,354,724,864,122,445,
632,650,709,798,598,806,904,048,987,411,638,837,206,211,452,069,746,238,290,
036,754,873,364,027,674,488,904,592,903,969,444,646,085,319,748,084,248,283,
322,106,618,912,050,260,906,874,467,907,470,757,998,858,838,912,028,203,734,
020,437,004,543,093,588,196,530,995,138,454,950,858,116,842,929,815,182,024,
010,170,179,947,696,126,915,630,460,167,787,181,101,156,759,746,561,469,057,
232,054,794,502,547,217,638,803,661,660,247,282,539,105,810,683,179,001,982,
504,892,142,307,975,501,293,928,455,386,730,998,223,085,279,144,193,282,437,
296,527,184,732,505,044,535,745,559,647,710,993,542,921,332,489,214,200,169,
685,302,215,346,003,625,352,240,568,185,456,596,935,084,856,372,158,789,311,
143,994,852,269,170,368,938,686,096,841,122,499,123,274,594,584,779,824,746,
122,958,938,860,483,120,170,359,730,509,296,440,219,680,183,222,532,671,782,
144,173,400,212,015,308,371,266,947,903,868,065,801,247,757,725,916,919,953,
865,245,250,418,223,689,005,142,218,421,354,772,922,387,912,553,852,828,093,
408,192,016,190,589,140,132,513,878,846,945,374,639,062,603,544,516,907,951,
193,519,108,975,494,021,189,859,988,167,840,138,187,177,693,067,654,266,149,
508,363,808,878,607,115,501,382,749,293,477,032,997,470,255,289,579,668,355,
307,730,418,293,962,705,633,452,702,229,460,600,788,024,290,210,030,345,264,
652,329,184,175,662,076,397,042,255,242,619,570,919,978,237,774,537,459,763,
780,476,085,687,156,495,009,379,154,964,228,063,195,893,246,038,490,403,574,
709,567,231,519,957,922,723,418,836,137,667,202,359,068,530,126,757,338,978,
955,755,392,258,820,310,287,476,490,038,560,155,753,670,877,042,051,018,969,
701,657,574,667,657,525,832,651,212,502,473,352,511,638,194,639,122,616,376,
910,452,114,499,464,558,813,774,727,317,861,177,566,743,267,149,611,660,278,
656,358,477,926,993,743,701,065,981,872,041,586,291,920,150,032,538,294,347,
371,850,908,950,967,384,625,862,953,278,818,085,803,406,897,388,386,708,105,
931,024,756,812,231,410,682,600,492,852,085,298,701,152,359,979,338,783,036,
755,786,025,950,971,828,905,880,643,260,060,463,437,773,581,080,191,818,593,
438,010,767,330,117,846,069,037,284,046,930,459,859,566,536,391,345,563,529,
590,722,110,429,070,863,903,256,430,252,457,641,102,744,956,947,047,741,294,
869,801,266,175,209,684,941,643,283,199,969,372,219,707,134,887,559,284,047,
144,867,323,782,663,541,543,975,090,335,754,089,902,086,324,196,084,062,063,
925,126,815,050,874,755,610,244,785,339,599,652,110,908,988,888,304,393,426,
349,949,464,226,235,547,379,477,413,253,437,254,286,346,458,536,620,600,461,
657,229,249,384,336,621,766,082,470,918,017,184,886,489,839,862,470,167,821,
595,639,933,820,242,905,388,611,898,147,516,444,371,489,641,431,549,712,639,
946,307,433,492,906,380,524,146,473,226,937,879,563,042,273,981,488,138,648,
986,600,230,475,676,509,875,655,794,801,487,332,614,831,552,461,273,345,895,
326,012,812,350,025,826,404,149,843,711,611,362,347,802,520,032,803,883,474,
208,730,301,712,845,420,251,975,598,370,825,921,736,454,644,977,237,318,106,
470,475,133,396,572,249,392,823,975,562,325,026,474,491,098,557,745,971,656,
339,657,486,571,879,537,918,225,075,085,527,565,106,190,855,778,922,221,763,
465,955,414,932,375,048,754,300,086,910,976,007,262,454,360,539,445,537,996,
851,093,268,586,458,084,512,075,078,115,553,406,294,260,227,176,248,061,884,
345,460,643,752,191,781,322,418,863,596,043,615,275,102,663,485,185,489,296,
135,712,307,439,155,662,227,901,827,211,648,248,311,584,518,992,680,209,187,
173,072,061,509,909,046,913,994,445,993,288,145,478,549,511,251,630,128,026,
951,211,033,716,433,674,790,545,553,045,958,832,597,438,932,838,068,330,393,
598,722,534,137,609,847,031,867,852,480,054,741,176,322,808,265,075,027,428,
381,855,636,257,360,187,665,774,892,817,498,789,910,475,943,415,702,674,394,
991,705,988,261,784,364,123,937,963,031,460,733,472,810,075,785,823,921,206,
542,172,539,288,730,858,957,255,399,436,154,615,378,426,492,117,006,474,206,
759,981,202,594,066,687,800,862,000,927,774,169,368,522,116,998,690,159,272,
659,901,733,950,707,315,058,740,507,920,289,784,355,126,988,793,024,283,804,
805,054,636,063,059,314,760,148,435,220,531,136,237,255,122,039,163,196,286,
518,038,829,057,948,629,628,886,690,826,094,082,232,220,181,770,326,256,794,
413,770,063,891,261,481,830,350,283,236,260,869,276,631,310,033,737,240,799,
502,456,534,303,522,622,469,973,335,058,636,212,111,793,722,342,748,817,089,
505,373,563,334,295,209,618,394,488,254,225,567,649,769,115,298,942,928,344,
275,043,704,844,411,480,634,543,934,879,241,730,053,691,538,579,418,236,276,
922,608,341,218,164,477,387,042,575,993,788,472,170,714,225,288,130,484,787,
563,124,074,135,297,668,066,897,086,124,528,095,388,004,837,396,070,240,499,
082,463,306,386,364,041,444,852,903,560,075,460,701,573,747,186,453,230,825,
868,250,611,437,641,587,839,560,068,574,795,418,821,318,847,321,324,438,061,
311,623,384,451,014,539,045,530,502,874,779,229,624,110,197,245,735,209,318,
651,954,625,822,070,979,094,685,001,523,532,870,522,247,156,503,962,000,580,
437,460,001,694,545,507,331,148,796,019,754,229,756,553,781,294,766,505,413,
332,331,404,592,018,361,058,897,149,963,525,328,870,682,208,212,288,778,107,
837,357,185,671,853,592,407,375,828,328,424,421,897,303,113,167,703,974,426,
676,511,443,615,916,012,502,943,392,936,897,225,903,077,298,806,813,622,354,
230,190,492,741,255,640,982,226,420,861,206,857,681,772,456,448,819,225,888,
189,393,745,141,931,342,788,917,401,156,089,851,016,903,627,645,387,109,124,
310,458,191,104,558,594,795,035,811,987,026,274,695,763,126,206,912,819,414,
708,339,454,368,601,868,233,243,657,332,163,412,034,165,120,928,224,203,795,
354,550,461,302,149,312,211,251,889,112,396,377,149,602,498,315,180,579,162,
446,277,884,060,945,884,747,244,237,752,553,102,836,924,791,056,629,823,785,
807,882,550,592,861,014,579,979,120,993,025,668,746,116,027,750,447,850,937,
058,134,991,666,747,717,332,681,836,594,057,508,486,133,751,457,333,197,731,
247,520,735,401,266,677,059,454,270,325,542,840,716,383,281,116,576,744,346,
530,222,164,600,495,628,214,695,994,125,204,804,737,374,116,350,103,350,633,
338,561,730,062,603,381,507,779,002,337,626,340,310,468,098,465,951,679,450,
101,468,440,657,037,563,962,563,034,145,376,979,544,762,447,498,419,093,433,
018,415,356,753,481,361,851,630,224,059,744,321,224,193,957,958,649,549,836,
481,962,805,257,677,821,573,279,885,252,104,843,981,293,757,676,552,054,948,
809,229,811,169,686,488,945,464,167,107,611,616,670,167,249,592,123,184,974,
392,254,135,845,806,440,728,933,393,869,620,066,663,603,365,047,608,898,352,
274,672,448,048,467,177,265,589,278,660,134,364,877,509,288,371,008,488,425,
143,998,156,816,433,798,575,771,751,606,229,620,568,348,955,531,927,572,829,
771,012,778,107,685,249,761,223,838,108,313,435,519,129,815,911,392,829,491,
789,706,802,819,348,476,838,133,025,103,018,405,423,508,350,694,419,709,266,
145,663,252,715,213,013,095,763,215,889,243,999,976,869,305,185,613,811,040,
590,281,886,646,881,145,894,199,849,130,161,699,031,759,576,741,571,622,044,
645,468,421,431,160,421,773,245,415,934,300,180,067,558,796,644,201,355,847,
280,919,487,308,603,273,506,262,302,182,314,430,041,681,640,525,452,531,305,
904,094,917,579,959,735,842,023,625,518,199,669,627,127,548,179,921,952,939,
138,514,033,015,976,447,058,424,335,679,905,339,369,858,777,998,558,027,544,
859,641,661,483,773,537,133,741,018,388,901,165,559,847,115,864,815,292,677,
939,998,662,323,527,874,449,689,520,746,153,939,614,199,383,642,870,571,059,
655,080,048,847,012,547,880,643,549,825,176,340,189,709,963,445,813,802,699,
106,017,683,005,022,445,651,646,471,535,829,154,881,051,703,054,389,861,373,
902,697,195,477,271,644,970,480,848,024,200,096,751,561,488,384,332,555,163,
998,174,975,726,288,480,450,307,295,353,601,799,401,190,271,584,901,159,919,
331,556,988,833,147,376,986,215,374,270,499,185,319,003,673,138,089,392,035,
771,953,889,834,642,189,144,615,861,424,614,402,762,362,879,228,214,578,207,
024,557,854,796,183,378,952,313,986,826,021,551,782,437,882,508,178,714,013,
210,143,772,971,317,421,139,021,215,622,849,155,993,204,548,051,108,283,307,
573,196,189,812,087,022,626,675,546,298,960,781,357,938,380,400,341,895,807,
265,669,757,422,934,379,031,413,451,591,692,190,300,909,445,586,844,322,740,
281,275,481,790,023,163,278,754,304,553,638,392,550,691,160,974,074,161,205,
679,555,468,869,204,873,286,201,399,530,199,995,449,309,183,285,769,247,630,
098,797,520,716,659,360,818,537,049,529,415,162,733,634,200,266,913,281,748,
687,985,277,073,199,065,653,578,702,168,026,804,565,658,404,784,461,869,317,
134,581,667,165,449,036,219,990,168,304,913,573,551,662,207,090,868,990,861,
595,560,179,289,127,858,111,083,996,752,499,983,811,652,624,832,432,119,014,
703,185,273,843,513,331,701,627,732,836,076,505,941,461,475,572,147,925,273,
887,102,792,303,272,599,091,429,887,719,144,435,834,696,977,615,159,358,256,
292,754,662,727,681,290,687,952,438,193,184,132,968,767,865,329,772,431,941,
754,365,268,560,822,653,182,142,622,446,730,985,848,730,793,925,524,713,184,
856,237,266,295,457,116,165,852,928,076,269,355,341,301,086,297,223,847,118,
204,613,176,956,796,013,832,614,630,306,771,809,385,381,484,919,110,613,673,
878,736,144,930,533,505,119,859,767,877,625,024,669,131,145,552,257,109,468,
685,966,771,280,515,171,626,653,141,812,229,247,721,578,053,257,718,990,180,
699,888,234,721,342,605,901,156,570,299,993,867,927,712,112,142,393,665,265,
356,182,690,580,601,626,832,349,406,495,129,212,251,247,039,353,045,811,402,
017,313,646,240,023,575,145,360,487,639,138,520,073,207,047,853,855,991,664,
846,946,206,534,550,850,573,163,608,045,935,043,069,738,987,054,940,410,842,
536,614,462,526,439,239,707,674,145,235,479,537,028,216,230,843,022,026,827,
103,999,323,050,908,732,797,944,004,047,659,542,204,604,789,797,117,294,333,
882,391,765,642,380,803,356,328,164,787,807,931,153,546,966,876,566,376,370,
831,010,539,585,271,213,655,221,888,514,541,127,410,977,860,861,576,193,693,
831,657,703,007,109,284,986,501,096,379,615,712,026,144,310,609,995,353,106,
273,404,356,700,979,748,149,916,253,317,981,564,301,754,771,685,585,610,771,
757,128,524,139,651,317,564,031,470,637,478,312,578,208,359,352,732,563,226,
602,482,101,484,598,509,604,394,895,891,455,224,755,921,776,998,346,643,275,
952,652,153,643,570,674,770,709,075,006,067,112,931,049,075,481,922,909,782,
517,790,749,330,145,754,845,799,633,977,727,155,148,147,266,606,734,783,305,
923,718,439,622,631,265,420,471,983,718,179,890,433,938,799,519,127,580,022,
047,050,675,502,069,515,539,630,394,753,805,802,813,142,011,048,912,826,059,
036,285,825,315,175,638,906,032,339,740,942,651,664,078,761,984,440,193,518,
595,018,811,160,984,238,723,958,241,866,462,720,660,547,156,643,030,181,815,
457,605,386,156,524,232,677,710,728,143,621,778,163,717,880,709,657,980,038,
442,815,276,413,011,739,070,356,247,635,227,592,155,071,350,483,192,200,801,
940,348,709,582,018,755,477,552,453,808,339,144,645,073,033,374,670,371,504,
672,022,100,060,736,820,972,207,956,497,616,084,423,676,323,821,367,599,949,
867,807,430,454,339,756,974,641,553,752,284,321,365,717,723,596,136,897,149,
517,592,964,034,215,891,418,385,035,650,202,890,875,070,602,157,193,093,933,
645,013,829,701,057,571,909,093,918,576,770,568,318,984,983,854,831,362,118,
987,488,966,455,406,632,939,095,790,056,016,548,564,236,355,643,553,884,933,
298,965,040,704,177,251,148,982,027,376,144,865,997,337,297,185,435,065,048,
581,601,508,582,641,539,414,855,195,178,854,750,566,069,837,072,940,161,679,
830,724,756,203,077,380,678,716,629,458,877,269,540,977,460,672,242,964,343,
782,990,856,674,687,666,315,122,847,653,301,584,855,907,037,184,566,258,749,
681,324,429,284,316,566,183,699,958,150,766,291,652,068,705,971,996,503,090,
054,066,668,349,408,553,982,275,585,911,058,464,447,530,982,414,949,640,991,
015,990,414,486,015,897,431,886,092,987,136,674,901,431,352,843,802,932,111,
916,724,025,559,602,420,089,845,755,088,219,374,075,648,380,361,954,164,399,
493,327,719,834,872,377,737,181,810,943,670,975,227,228,736,821,532,697,274,
600,937,982,704,233,927,212,127,871,284,595,682,539,140,267,989,069,494,740,
689,419,327,875,883,942,444,873,347,162,038,666,540,662,886,621,347,368,079,
430,607,574,783,387,555,145,431,420,783,814,439,701,896,608,583,980,275,081,
812,027,311,409,403,736,770,407,042,576,824,308,138,205,658,532,296,551,488,
840,761,649,562,774,389,480,807,767,794,796,218,960,258,750,761,803,570,258,
914,491,210,720,217,564,178,517,760,499,836,877,457,430,831,334,765,584,762,
534,204,644,927,626,215,978,176,623,745,278,004,426,191,104,953,314,352,950,
442,651,417,874,947,847,875,882,537,081,462,821,471,563,233,258,979,814,491,
712,468,421,145,861,521,225,042,601,531,239,281,862,045,205,959,027,038,660,
689,467,194,072,227,455,663,454,986,968,686,811,738,309,328,604,464,479,761,
016,813,470,178,272,342,845,556,878,395,931,321,752,535,097,230,331,557,167,
871,602,547,859,922,680,734,524,334,540,682,419,578,023,256,565,330,160,128,
127,422,333,094,297,654,899,375,277,751,308,942,064,301,607,803,314,742,931,
392,395,780,185,109,801,536,559,505,611,094,597,568,526,132,057,585,925,735,
274,006,903,498,934,718,461,540,775,594,635,474,997,062,499,757,945,079,141,
817,640,756,806,260,226,033,303,114,277,625,235,761,049,295,428,461,398,362,
664,377,313,329,264,809,973,484,266,899,421,856,111,834,573,883,676,211,030,
914,034,193,281,692,136,229,809,822,473,976,515,015,021,799,466,439,360,174,
838,114,748,466,755,512,670,578,351,679,886,418,799,145,300,531,594,313,712,
938,886,860,661,967,552,202,955,930,218,696,453,123,403,332,028,826,945,902,
149,450,033,014,049,693,708,022,682,490,571,689,027,080,361,718,945,834,674,
400,528,079,722,214,251,046,657,248,038,532,847,644,556,578,277,242,917,819,
539,661,592,532,279,092,159,293,466,985,955,817,395,811,229,969,373,125,573,
224,294,259,150,087,007,527,467,699,280,765,855,358,818,016,064,960,695,964,
777,332,565,949,132,050,000,979,375,554,001,672,452,742,624,054,715,016,221,
570,370,607,216,830,101,777,172,147,394,749,500,926,126,315,525,336,691,486,
061,344,396,289,570,297,067,239,536,483,105,315,159,345,609,242,515,412,372,
886,373,570,753,245,589,514,899,535,280,651,398,405,509,884,804,075,135,224,
172,580,357,622,110,230,064,623,793,730,672,807,421,464,419,110,396,201,520,
627,023,072,370,891,575,927,698,618,051,818,311,777,180,560,147,441,738,808,
158,657,029,481,912,223,809,680,475,822,618,511,393,821,126,058,056,396,940,
080,807,396,869,329,993,173,167,170,187,882,330,037,246,813,748,476,662,278,
276,991,179,486,710,401,357,598,096,211,063,457,918,453,746,308,773,514,508,
717,881,238,484,491,531,279,951,806,158,995,190,916,108,589,887,049,942,949,
555,467,663,131,412,873,935,539,896,646,964,467,826,257,088,500,461,281,937,
811,660,130,446,062,963,200,749,586,124,385,317,693,140,267,931,108,773,693,
779,282,364,605,059,958,461,188,042,417,887,236,639,930,264,836,092,410,614,
757,707,119,277,817,381,432,302,500,973,144,492,569,565,659,834,970,723,698,
348,442,028,099,432,670,747,139,681,603,364,638,913,518,448,531,343,964,177,
275,427,538,866,335,447,173,278,195,722,199,138,532,602,071,174,544,595,171,
384,638,603,434,718,312,259,990,526,707,969,161,520,273,077,295,962,762,705,
445,059,604,049,571,144,713,244,307,782,651,928,887,857,149,008,397,754,221,
758,091,280,611,791,902,691,393,653,158,368,971,105,970,054,927,629,189,850,
137,962,459,249,240,117,616,944,265,450,478,553,686,532,124,239,341,593,053,
456,552,129,352,824,871,584,717,100,914,717,477,668,203,823,437,423,991,054,
300,193,799,510,425,225,103,448,503,427,299,015,840,077,072,487,419,167,961,
344,772,400,245,400,538,071,147,951,733,331,139,718,283,048,720,336,191,558,
238,041,132,632,610,879,725,651,445,841,587,208,399,291,037,118,139,586,542,
124,346,683,580,789,750,953,479,329,813,370,996,169,719,342,299,220,024,303,
747,689,531,937,688,654,127,071,572,022,515,034,447,770,394,617,180,714,200,
135,539,550,365,067,039,878,778,786,698,833,837,969,243,411,604,506,559,443,
704,009,469,990,691,624,292,002,851,186,850,905,669,439,149,485,434,788,043,
624,158,808,485,496,084,386,426,860,943,537,724,495,618,492,417,639,341,574,
615,105,962,433,308,791,761,426,383,010,914,252,598,953,224,381,011,670,309,
497,426,246,650,213,843,407,055,561,978,531,475,989,279,203,002,563,212,564,
779,061,008,729,643,415,679,009,006,823,837,080,240,099,985,636,662,588,684,
786,040,383,590,364,996,598,121,358,431,042,439,154,109,965,226,893,280,856,
202,090,420,848,725,899,686,271,708,159,409,400,196,746,615,452,960,495,578,
710,628,301,370,652,496,095,893,763,301,686,356,797,015,744,891,256,721,573,
560,160,663,550,148,498,624,241,006,528,826,369,414,570,312,569,938,303,911,
027,272,289,764,603,401,994,475,462,052,176,853,858,590,323,539,921,307,256,
085,026,801,627,642,895,239,556,997,489,199,946,584,550,337,917,060,958,441,
150,070,196,398,013,237,631,606,011,801,234,736,694,743,295,318,198,340,828,
657,583,503,851,345,259,219,706,559,300,997,174,529,836,250,607,644,214,057,
959,289,730,093,213,584,776,891,732,219,779,166,661,819,121,000,554,050,783,
151,300,435,471,006,378,966,564,401,622,634,140,113,380,573,839,710,749,620,
730,833,108,826,403,375,908,269,738,173,559,015,179,857,932,493,171,123,998,
404,458,071,100,838,541,039,617,453,510,837,643,548,760,733,114,420,222,266,
257,129,196,985,984,579,446,653,372,056,682,893,285,211,989,672,173,926,661,
996,453,468,378,735,166,092,073,829,967,957,477,640,489,244,197,272,609,569,
271,964,317,027,241,220,390,460,083,037,044,057,710,210,332,985,910,338,543,
455,088,410,491,208,336,954,677,356,132,911,512,446,962,425,162,503,596,601,
545,305,542,832,904,669,039,500,802,893,351,882,545,112,435,510,461,421,185,
492,311,199,585,289,816,618,909,960,622,438,222,646,360,259,510,176,322,785,
356,772,402,614,548,255,084,799,770,561,151,801,237,021,688,572,790,553,360,
923,225,993,116,383,267,337,761,854,474,271,071,237,732,376,400,150,290,402,
590,906,321,329,714,594,022,549,337,903,880,896,283,987,674,187,784,824,226,
335,156,082,915,343,824,945,490,748,071,144,176,859,593,466,540,777,418,852,
086,095,125,827,304,252,045,500,438,361,249,981,010,818,012,198,601,869,662,
335,088,436,277,098,371,824,460,814,551,741,449,741,048,825,922,712,712,557,
489,455,716,647,469,547,824,377,282,797,240,730,408,182,316,347,739,641,531,
239,163,348,766,311,030,164,670,091,340,617,156,964,412,418,868,415,926,139,
665,690,670,039,393,840,280,845,932,483,411,506,612,868,755,858,243,718,322,
853,364,766,279,886,101,097,862,856,354,604,044,259,153,249,494,176,810,845,
283,522,764,075,732,697,146,236,184,781,221,819,688,459,099,033,851,515,822,
258,804,475,109,226,460,555,067,930,990,112,048,345,701,506,354,885,253,992,
832,395,676,308,713,535,500,989,180,195,479,635,356,352,808,032,561,680,229,
236,927,125,470,252,123,723,414,951,425,234,389,430,571,116,789,871,820,213,
383,937,487,571,961,095,401,006,959,831,906,160,231,616,243,776,987,269,677,
763,534,173,335,302,014,639,779,559,122,247,232,860,071,141,435,399,403,906,
889,448,519,743,267,254,776,138,375,387,058,482,928,624,662,591,385,802,881,
240,876,178,069,057,116,887,753,539,308,113,010,924,404,516,553,040,777,457,
990,264,724,877,697,978,918,362,228,196,652,695,724,101,794,796,504,670,390,
475,322,267,564,525,118,142,821,870,964,524,915,822,802,965,253,765,439,027,
145,020,914,012,333,788,856,623,603,251,320,279,856,845,794,799,388,437,753,
038,898,668,446,538,250,163,138,458,352,106,254,837,810,835,971,430,800,612,
803,193,034,542,257,258,300,095,830,153,955,252,966,844,486,574,004,770,083,
328,228,681,739,592,493,094,478,385,950,207,348,315,315,391,847,638,013,305,
608,605,003,991,146,064,163,376,011,854,120,590,284,373,817,177,472,822,471,
366,527,704,588,992,226,428,558,175,774,916,376,760,097,002,803,575,654,282,
280,753,781,070,400,225,609,924,144,085,138,493,135,715,946,038,937,066,475,
077,228,409,799,150,476,127,904,351,597,812,793,591,947,048,096,933,726,852,
921,167,987,320,101,786,130,649,080,071,193,734,450,026,625,215,583,072,399,
182,729,915,484,201,019,699,120,207,635,728,667,244,848,082,151,052,336,984,
391,864,743,672,579,909,747,446,025,186,067,182,023,771,109,862,408,815,716,
560,566,763,964,847,327,934,329,068,339,593,458,796,135,809,879,146,619,799,
091,159,674,850,253,471,471,939,328,320,972,135,590,925,917,254,657,030,938,
651,041,233,015,268,841,973,053,183,757,524,489,907,079,364,335,401,224,620,
218,540,003,815,687,248,497,502,822,295,640,936,595,867,629,905,428,755,177,
274,645,107,465,273,438,018,718,272,590,554,860,637,120,715,119,691,920,897,
314,762,563,694,093,524,648,360,716,564,149,805,473,208,175,770,165,502,386,
559,265,719,929,110,623,372,743,531,664,109,885,628,188,299,813,777,313,584,
397,270,929,483,732,864,114,552,225,822,303,205,752,619,068,714,406,615,743,
407,511,920,783,010,857,321,587,709,153,095,831,660,293,121,548,080,825,953,
420,399,518,037,694,424,880,142,463,328,164,099,430,437,297,733,421,612,859,
898,559,949,559,884,581,838,198,830,435,163,709,027,421,391,443,748,994,691,
960,310,302,723,912,318,210,082,228,244,604,512,795,821,323,355,867,674,942,
795,849,264,461,285,599,775,598,975,025,000,079,032,640,131,399,036,686,450,
070,551,417,568,158,774,445,027,758,596,963,557,310,007,043,681,517,237,342,
353,289,954,296,917,070,201,391,553,602,696,913,314,969,831,514,588,502,072,
271,459,439,101,843,530,775,833,746,301,986,463,448,176,961,100,907,881,710,
906,826,885,827,298,929,615,056,332,662,495,102,860,595,318,713,224,300,322,
153,078,189,870,931,769,239,497,268,490,896,312,378,997,167,305,023,114,782,
664,001,895,912,187,160,972,514,920,902,423,034,282,501,740,660,907,835,835,
661,966,902,752,176,348,957,710,317,881,858,403,503,042,217,206,812,483,606,
743,243,351,685,394,933,601,018,080,192,749,183,875,572,316,735,327,813,543,
361,291,736,988,120,011,382,918,576,909,948,651,805,632,948,329,128,743,019,
930,474,832,735,059,880,044,818,897,824,071,787,047,084,841,860,092,987,191,
151,348,309,102,383,009,417,510,751,714,323,695,168,065,343,795,019,590,769,
339,673,065,824,164,740,745,946,948,254,751,283,752,504,484,695,620,611,628,
075,679,778,572,022,938,420,282,691,740,505,120,051,076,706,002,970,845,221,
842,556,734,762,026,778,255,595,379,803,807,883,958,779,386,545,487,179,233,
197,750,564,862,097,055,658,653,546,929,988,785,151,734,976,759,456,376,864,
481,908,880,742,419,656,219,636,822,194,909,976,693,752,919,511,759,056,414,
564,656,096,766,785,936,465,875,152,089,011,015,187,021,865,432,169,481,151,
725,776,271,090,175,259,143,146,027,046,920,040,049,209,483,752,845,218,404,
852,820,208,507,395,389,669,176,054,481,051,937,361,385,463,309,368,701,130,
974,917,738,488,438,482,467,577,033,750,065,940,379,887,177,678,407,496,304,
259,518,836,605,703,780,719,900,675,768,269,276,562,970,675,020,174,002,257,
382,151,118,917,339,456,200,208,831,322,869,656,759,559,767,200,795,377,990,
666,278,409,926,902,468,610,996,605,479,141,227,530,387,785,744,181,739,186,
641,545,386,731,826,312,900,539,466,347,202,713,631,938,215,594,772,390,313,
671,758,792,122,623,621,851,124,224,183,548,438,701,224,610,833,426,853,274,
781,852,710,552,667,635,237,432,703,436,822,090,784,935,391,586,438,948,440,
224,255,136,971,812,949,766,836,517,582,957,838,623,294,705,417,891,773,169,
372,898,215,302,918,392,564,041,538,506,535,943,025,118,427,399,674,362,356,
490,998,587,039,189,008,371,015,633,049,564,046,214,771,145,464,827,911,027,
741,927,534,994,986,505,723,856,251,882,185,029,233,800,543,240,681,543,626,
422,616,458,586,733,476,912,368,623,118,996,010,451,411,723,508,279,618,556,
121,943,132,087,063,898,282,744,013,665,343,194,110,116,881,720,978,586,103,
692,551,237,056,858,553,162,828,800,231,853,529,460,273,089,410,654,839,813,
747,855,491,982,517,729,493,148,947,460,590,442,904,110,263,445,929,818,012,
335,312,637,138,895,707,750,553,171,016,553,849,877,747,417,442,724,710,970,
007,882,119,959,146,527,766,150,433,290,183,137,198,892,569,668,536,752,155,
887,308,101,867,087,251,948,592,467,595,978,192,493,429,811,222,599,212,168,
552,738,325,652,305,478,419,641,469,788,448,943,165,372,771,377,296,652,720,
547,867,314,752,648,620,709,916,515,459,744,144,045,560,679,760,485,643,772,
919,734,641,873,717,360,526,510,767,004,013,847,760,578,529,907,807,134,791,
371,181,299,102,026,465,810,740,771,570,955,473,924,070,362,958,341,686,152,
890,968,566,001,279,088,845,593,045,641,075,923,899,803,703,680,852,170,576,
465,881,196,299,552,047,993,895,052,940,174,710,969,896,648,753,504,911,410,
002,981,054,416,242,818,495,601,199,316,719,555,120,570,180,211,587,338,900,
291,583,753,952,904,065,845,956,542,924,125,081,177,081,630,926,163,852,213,
673,532,466,630,029,326,583,567,244,601,035,687,347,527,530,007,804,540,259,
925,303,050,806,054,138,060,200,003,914,562,765,533,088,561,076,534,147,184,
180,480,223,571,696,378,599,119,795,474,257,092,518,185,575,107,452,698,048,
803,978,027,080,663,458,891,214,891,889,903,710,947,586,714,224,415,954,635,
651,363,175,103,161,987,800,233,916,796,877,308,399,533,488,714,979,583,548,
476,286,394,077,075,025,712,434,448,586,219,151,952,672,720,398,003,443,192,
798,132,421,000,312,521,126,523,612,669,526,536,017,974,113,991,107,040,311,
496,264,221,350,241,010,365,884,631,709,069,440,416,241,587,296,380,880,539,
414,677,375,536,599,409,270,189,216,141,693,550,935,274,501,854,066,159,695,
063,062,897,861,634,331,751,524,508,898,425,442,666,399,372,369,592,854,282,
852,177,003,578,969,903,156,011,061,283,365,797,610,198,556,655,428,858,084,
771,566,338,999,265,511,667,122,034,265,549,352,815,025,617,758,541,139,706,
375,955,190,312,697,287,139,810,017,552,660,587,904,942,418,981,242,180,389,
426,265,163,063,891,576,544,496,135,647,395,460,690,842,585,644,669,103,339,
830,072,115,599,877,958,448,850,890,470,158,371,406,941,598,497,684,185,387,
320,610,401,813,312,149,711,746,991,113,048,366,282,849,714,881,278,956,913,
644,701,809,553,663,906,783,358,117,264,467,789,540,036,986,452,076,751,198,
745,638,712,245,086,577,721,331,462,559,929,335,447,363,436,413,473,346,393,
900,430,070,189,921,243,465,965,890,750,517,424,501,437,502,550,485,068,314,
982,677,615,208,451,857,279,888,256,565,109,173,591,989,867,043,481,676,099,
927,277,282,240,633,611,434,324,252,504,840,258,441,392,581,949,093,334,151,
574,860,957,188,964,124,390,257,957,486,451,940,314,874,782,592,070,415,477,
938,331,265,369,563,661,710,247,769,817,897,005,988,151,060,972,733,049,456,
052,793,807,800,422,437,408,218,666,972,422,327,316,969,140,951,348,242,501,
410,116,658,136,379,162,264,157,330,176,939,773,997,885,770,742,379,463,899,
458,488,242,833,512,823,617,400,524,727,743,197,524,825,291,256,008,965,543,
027,683,815,816,470,851,263,070,631,449,684,748,316,077,165,019,586,772,918,
735,834,873,516,864,842,934,206,403,083,625,441,412,676,402,542,054,096,798,
479,564,668,933,677,305,763,479,044,366,874,286,283,157,410,984,853,537,258,
534,002,081,333,334,886,804,383,469,980,989,905,813,526,237,547,842,083,238,
560,270,674,998,509,284,748,696,090,557,808,941,153,864,551,856,100,666,311,
867,734,760,194,791,110,413,577,110,311,361,481,890,900,988,014,534,445,657,
168,956,944,373,419,879,258,447,644,720,761,837,522,182,835,726,388,077,763,
160,283,379,377,143,757,931,418,767,361,573,344,718,942,577,979,341,669,638,
820,068,707,653,193,898,498,039,617,428,158,894,672,740,924,833,478,503,257,
982,684,277,005,898,487,120,033,651,719,462,284,274,015,494,589,659,603,992,
835,010,753,102,929,767,848,236,877,337,306,399,361,798,685,422,675,380,095,
107,105,666,417,936,987,673,614,033,320,789,816,179,522,376,448,338,206,620,
397,232,118,038,761,679,774,664,735,250,622,645,306,061,859,436,296,790,740,
527,663,077,941,722,527,643,377,883,226,238,908,138,204,504,151,850,959,177,
849,190,133,250,604,494,500,548,135,120,612,187,552,411,670,292,620,249,442,
546,671,223,589,426,092,637,281,057,066,668,508,096,497,516,622,076,372,796,
492,318,683,361,197,468,394,051,825,558,655,923,269,206,263,175,582,861,704,
965,074,843,033,794,242,273,798,318,428,800,227,167,528,342,560,928,989,764,
728,420,401,251,947,461,738,892,631,892,465,802,455,573,842,222,752,557,008,
329,929,392,595,438,572,820,593,162,195,488,675,088,543,712,037,644,638,931,
357,543,065,323,429,046,604,687,835,583,045,228,679,940,227,411,455,923,235,
453,660,611,108,952,724,444,974,595,691,148,303,873,158,731,415,264,979,320,
424,643,635,575,599,125,445,997,233,829,769,414,113,083,389,133,624,049,283,
586,375,755,710,665,769,164,075,280,606,737,515,119,732,236,303,890,323,160,
687,193,914,387,972,574,689,472,861,568,928,852,922,364,355,462,469,092,675,
699,526,611,232,083,891,176,130,448,286,979,316,265,517,299,363,351,473,891,
673,267,042,515,345,087,988,385,953,631,375,674,301,825,593,743,409,407,116,
609,417,206,749,458,912,842,770,455,162,065,008,954,275,715,225,804,902,999,
793,403,319,829,954,191,593,087,477,046,859,318,674,233,156,062,750,639,347,
795,491,726,415,201,385,478,776,370,822,584,948,070,150,155,056,828,392,429,
074,503,055,817,424,352,426,483,534,513,819,375,434,723,121,069,527,293,437,
631,327,825,242,234,118,909,419,354,126,318,304,023,177,484,358,433,681,912,
812,526,870,870,191,887,160,010,058,847,685,618,688,736,149,709,458,003,123,
333,949,866,254,227,125,647,116,383,030,928,876,100,188,597,386,834,238,160,
063,787,458,283,289,453,432,876,456,943,687,270,683,259,060,117,362,243,929,
914,746,872,041,250,398,248,247,999,954,474,847,544,963,987,591,481,271,310,
381,183,958,799,641,197,269,916,148,601,497,705,899,632,609,533,328,630,826,
699,009,111,483,973,666,577,230,235,911,202,628,148,337,958,648,929,517,470,
164,522,625,862,648,513,357,634,592,612,675,149,537,796,987,507,931,776,512,
762,672,804,112,762,854,486,963,971,537,196,809,541,977,425,725,260,352,462,
587,194,506,388,767,829,804,698,325,678,373,425,440,299,929,284,004,387,156,
769,283,070,254,658,474,383,272,662,944,278,807,165,368,800,419,083,109,166,
675,154,035,522,634,276,977,095,246,182,358,546,403,782,808,338,278,027,912,
305,238,077,562,811,928,224,669,322,263,947,338,741,624,634,286,980,772,019,
735,931,661,451,463,339,756,893,071,444,599,948,406,455,776,954,313,149,580,
742,507,161,416,779,570,507,629,460,753,210,080,739,521,296,902,220,420,066,
790,611,065,609,297,659,109,431,044,060,354,800,902,001,889,305,029,629,809,
939,780,372,588,571,578,312,237,036,639,782,915,717,360,458,343,779,694,868,
140,044,094,072,353,025,194,719,790,608,028,165,860,683,602,112,536,552,981,
103,179,141,285,577,350,195,884,301,530,891,897,285,405,550,395,439,088,661,
190,106,479,216,244,301,391,153,798,822,921,829,075,365,849,186,578,285,229,
794,442,410,003,574,348,312,065,669,881,469,380,055,723,745,784,426,886,428,
924,652,956,306,808,524,678,335,696,854,514,370,194,301,512,982,812,470,971,
791,260,732,070,160,480,787,130,403,123,356,919,641,115,163,920,538,567,440,
855,087,149,599,271,498,065,356,014,543,544,981,432,811,675,625,215,977,851,
368,492,913,616,985,303,392,040,179,325,992,768,739,985,471,169,380,576,823,
628,707,437,694,070,491,347,881,180,019,016,564,977,199,428,618,060,593,901,
359,401,893,401,986,751,620,684,394,701,327,972,384,057,503,367,823,402,901,
785,675,556,600,872,888,943,298,353,500,796,184,168,669,639,756,345,407,326,
355,036,126,929,868,171,182,543,750,543,781,330,742,532,210,256,064,058,315,
320,191,756,771,584,275,219,192,795,119,924,571,509,585,226,878,076,429,673,
207,873,544,335,761,892,386,728,336,616,961,085,905,392,971,253,127,540,064,
595,020,522,913,055,825,139,908,414,074,296,563,828,458,047,315,642,880,336,
004,875,755,912,558,257,419,050,217,782,509,262,259,472,846,460,071,037,760,
172,689,314,414,964,325,895,520,009,043,737,014,327,075,646,525,947,949,940,
187,086,028,634,092,684,633,107,664,353,411,101,849,555,691,961,441,377,037,
623,988,352,038,924,250,456,689,261,706,476,395,620,058,112,273,752,805,192,
245,087,102,167,395,992,683,320,599,329,961,457,492,903,789,118,919,383,234,
162,178,190,302,796,308,171,997,551,524,526,171,623,112,266,425,435,279,175,
158,719,174,642,073,549,042,615,787,122,354,960,902,931,188,891,675,836,858,
624,728,695,771,435,219,403,250,028,305,284,662,901,288,334,030,641,619,397,
931,639,344,614,881,527,668,259,076,903,651,760,207,404,725,479,652,973,705,
794,214,788,787,721,878,934,419,691,058,007,100,345,840,044,557,773,918,694,
765,530,795,792,446,715,830,203,957,825,185,348,041,390,656,832,651,651,956,
196,513,115,045,613,171,854,689,962,621,935,213,283,682,722,921,050,276,791,
627,767,937,815,054,735,487,775,697,920,682,458,483,440,594,912,598,350,646,
667,309,021,782,729,413,142,900,449,082,130,946,253,845,717,810,182,969,491,
583,508,418,451,280,809,495,519,344,921,505,490,064,026,355,930,431,129,678,
166,174,841,313,084,732,956,696,283,425,781,501,648,676,657,079,603,028,400,
678,879,659,044,839,819,951,410,973,296,935,123,345,621,174,939,064,863,594,
195,369,463,612,827,913,567,768,865,986,856,059,847,077,153,711,516,747,857,
421,404,746,824,693,081,544,943,982,887,040,437,714,032,774,392,912,284,750,
360,130,092,502,675,845,498,669,962,896,910,401,607,411,462,954,942,508,555,
250,908,930,087,039,751,815,337,394,397,244,681,404,593,495,082,325,052,221,
130,998,588,527,665,929,523,155,443,918,861,580,948,448,080,200,970,899,335,
652,698,174,826,838,435,893,982,947,224,344,744,371,884,860,663,494,504,462,
400,008,891,759,647,096,485,827,199,971,196,509,491,455,246,863,343,541,228,
223,254,198,861,830,705,803,246,973,233,815,375,337,446,393,388,403,503,157,
041,565,416,440,943,133,348,381,881,608,901,525,903,638,446,966,967,083,069,
116,646,214,920,917,276,848,188,083,378,582,386,538,405,506,793,399,807,692,
857,481,698,058,273,198,699,493,471,173,671,506,405,805,088,561,247,038,887,
595,813,828,140,985,520,222,585,791,467,499,502,257,882,078,674,796,612,856,
962,056,944,425,390,542,967,688,203,487,701,778,481,200,906,168,545,058,413,
638,966,477,215,242,344,472,844,679,648,787,490,004,264,420,397,255,126,136,
292,657,961,793,413,692,666,739,433,105,246,688,372,922,381,842,802,304,413,
358,132,564,856,001,093,297,401,285,988,430,167,286,563,131,946,122,527,848,
161,637,824,291,047,311,496,690,533,842,354,414,128,524,394,126,255,184,632,
789,480,108,528,527,360,429,058,334,794,370,363,343,721,933,509,168,796,862,
448,661,046,391,978,276,245,768,684,159,247,534,576,928,678,695,975,745,569,
166,826,524,661,813,989,964,634,176,362,285,749,828,294,218,184,775,874,461,
480,512,446,451,390,692,145,917,409,871,998,117,517,083,879,430,315,946,624,
945,833,384,469,427,611,635,898,979,318,963,520,827,749,451,755,214,559,423,
487,748,750,199,477,632,147,285,079,541,525,361,234,654,747,087,795,154,457,
557,787,496,667,146,479,966,236,309,520,533,419,407,672,864,953,449,106,061,
743,077,551,469,070,135,675,675,167,717,294,246,620,837,003,112,368,543,058,
578,596,981,236,121,599,031,539,250,340,471,826,203,341,587,655,830,272,826,
678,527,248,994,683,744,273,576,111,565,173,884,188,482,744,986,584,716,218,
819,908,818,633,447,601,708,653,532,352,581,804,001,965,081,682,389,897,912,
802,005,357,975,127,674,008,062,654,559,136,279,544,437,674,450,948,157,706,
174,296,932,955,903,711,961,193,576,938,331,530,436,509,967,638,336,793,753,
321,068,846,524,232,786,271,889,477,723,398,538,416,087,975,632,615,639,318,
176,874,211,534,468,957,603,417,645,707,648,695,688,341,128,046,569,891,841,
773,759,664,443,867,117,628,181,211,483,466,439,226,096,993,188,113,535,938,
824,784,820,255,216,851,805,305,619,953,080,737,893,947,526,369,635,483,701,
963,822,752,116,871,927,583,340,453,856,024,271,714,987,716,122,345,517,607,
173,236,950,224,634,932,301,845,945,720,555,986,602,725,305,244,780,498,179,
537,256,711,672,888,873,588,606,991,678,598,233,721,092,957,872,718,159,536,
222,049,145,344,909,650,791,246,163,602,104,054,812,197,507,688,586,412,316,
784,777,001,065,689,845,855,277,115,294,087,234,778,728,628,254,165,884,346,
019,133,090,123,425,357,423,876,857,233,173,417,903,632,068,736,352,825,310,
419,157,800,298,440,320,602,822,643,648,804,451,487,376,285,036,443,642,396,
323,379,063,653,515,128,788,435,938,164,605,241,023,559,299,721,732,552,193,
206,356,879,499,434,599,436,493,248,421,845,727,115,965,234,952,221,494,714,
582,223,754,134,099,342,127,556,867,612,132,946,373,970,714,595,173,063,979,
590,172,565,784,949,481,982,820,837,923,135,571,779,141,000,795,676,383,271,
639,650,384,101,488,749,941,301,425,330,092,680,122,952,078,103,416,465,538,
357,619,021,605,931,209,186,344,531,077,262,929,146,382,578,424,117,335,024,
375,069,610,565,759,295,917,261,757,324,987,693,843,182,454,208,283,596,180,
877,897,055,281,045,204,665,307,713,199,734,000,409,009,758,995,553,909,920,
445,526,169,958,009,632,125,317,927,227,459,863,205,154,771,434,664,160,798,
920,281,581,483,399,525,618,473,544,477,764,780,615,448,702,670,533,110,869,
236,154,234,994,264,474,443,425,078,547,806,120,952,045,128,355,077,897,758,
265,241,770,697,603,166,814,625,353,842,832,518,400,795,525,785,175,528,273,
346,319,144,107,870,268,181,746,535,377,653,819,403,554,294,775,462,432,227,
689,903,337,618,226,858,880,645,142,398,706,064,614,176,461,428,369,652,671,
331,378,190,956,645,145,379,773,120,012,696,230,957,184,854,320,537,960,619,
818,853,881,125,449,245,253,018,876,744,204,147,878,417,492,069,536,757,332,
806,322,958,624,537,715,252,892,216,446,132,086,622,247,247,870,229,733,324,
197,535,409,316,924,222,392,029,876,934,308,304,149,208,916,817,274,391,137,
822,838,581,334,115,427,889,141,672,962,215,849,418,346,389,724,157,607,413,
330,355,786,967,287,917,701,335,180,478,698,272,466,934,408,769,601,202,898,
853,299,191,015,305,333,851,963,965,663,997,591,315,614,411,930,981,669,423,
951,235,369,124,976,026,093,910,568,317,723,187,816,595,119,045,432,267,481,
985,796,270,205,103,444,405,154,325,836,320,946,558,663,513,205,601,694,865,
269,854,395,209,077,356,106,400,390,820,508,512,745,880,748,360,593,659,738,
804,182,778,923,061,363,324,122,058,114,730,369,905,703,617,108,145,613,922,
749,421,428,392,888,448,472,006,138,323,623,441,978,515,330,330,104,003,708,
714,433,650,361,087,449,991,020,485,646,423,153,909,448,154,946,789,657,576,
450,210,805,182,186,818,810,960,267,791,136,146,889,007,668,188,397,297,512,
888,324,859,672,652,510,502,710,995,717,701,942,412,887,926,952,175,162,174,
992,241,057,801,788,888,017,006,260,050,194,807,193,802,321,988,119,654,760,
129,484,368,901,858,039,850,874,363,071,965,590,413,484,600,733,750,681,038,
776,881,006,438,861,419,645,631,916,782,831,602,458,986,227,352,530,312,090,
453,881,812,369,107,856,631,926,376,561,518,868,564,478,332,729,945,563,997,
449,877,680,476,837,017,002,880,414,126,467,127,137,427,021,732,466,360,554,
491,018,189,095,977,405,267,613,213,417,802,584,413,698,013,608,681,624,967,
173,413,395,059,448,435,237,380,362,431,539,326,564,603,107,707,328,653,131,
650,593,447,373,098,038,176,216,185,222,660,962,052,595,128,828,355,074,227,
330,586,927,818,233,070,959,797,768,707,699,835,963,858,437,224,001,058,068,
692,337,283,560,010,226,178,922,382,445,992,109,060,350,118,740,192,450,425,
220,261,033,097,998,973,063,727,017,443,870,065,681,823,922,037,921,288,689,
484,883,078,810,019,456,361,221,052,913,487,549,822,297,343,134,519,954,540,
482,353,673,270,379,119,863,557,114,157,679,436,434,551,080,099,684,530,664,
799,784,797,466,536,980,661,985,984,236,171,781,114,097,222,103,127,237,182,
252,721,364,672,454,678,745,505,508,382,183,544,684,941,274,343,783,205,673,
717,672,897,092,186,119,032,750,698,770,622,419,977,130,806,154,392,045,251,
235,750,161,712,419,184,986,434,293,595,829,244,541,198,011,462,155,819,952,
168,794,578,618,564,373,073,819,059,673,386,248,979,557,760,447,663,087,833,
354,911,850,445,956,844,297,357,446,724,832,286,286,341,916,205,860,483,319,
758,584,096,789,544,265,935,574,359,810,624,166,329,486,186,954,906,669,728,
903,265,545,094,719,973,409,126,811,142,653,805,076,831,265,724,417,377,134,
736,616,151,175,298,916,804,380,780,576,165,786,180,161,491,170,427,638,880,
271,653,561,484,630,237,220,285,677,621,182,103,998,424,249,007,450,276,020,
874,900,003,204,726,430,053,356,738,323,675,472,235,744,202,869,363,187,546,
777,792,196,749,873,603,952,773,091,344,291,475,088,603,175,079,967,184,501,
082,989,222,302,430,970,597,251,496,182,176,348,293,135,037,476,074,158,714,
223,004,741,097,574,183,348,715,798,545,545,597,938,248,150,522,155,086,753,
034,505,934,613,382,989,072,682,872,831,993,042,322,490,580,462,515,624,886,
600,745,819,086,914,103,278,608,063,411,310,182,804,496,992,132,040,816,457,
587,647,432,075,280,877,547,224,829,953,768,827,871,152,780,378,906,250,067,
856,930,836,431,669,646,818,478,770,006,918,099,420,849,345,492,599,883,132,
591,947,887,959,904,791,840,967,893,378,224,672,159,963,991,145,956,318,817,
067,359,412,090,965,810,517,899,679,770,222,907,754,157,162,090,772,852,774,
278,236,189,802,445,556,228,655,675,642,025,932,738,998,225,233,936,368,934,
223,825,641,974,778,226,271,892,941,253,075,019,695,852,707,345,852,036,421,
087,049,103,413,136,825,197,511,443,554,978,279,532,869,731,075,418,249,295,
913,996,015,518,102,654,127,069,683,516,073,883,987,780,596,290,366,365,269,
794,036,166,349,434,073,679,287,001,584,508,201,115,774,413,572,726,338,650,
755,155,118,716,460,407,993,821,941,329,889,884,627,144,539,926,252,656,252,
668,440,092,296,499,088,135,392,905,313,464,282,427,846,584,564,660,830,181,
703,295,181,641,925,572,170,802,162,290,198,742,918,619,969,070,649,491,108,
972,462,687,798,272,992,048,231,447,170,465,556,007,941,375,489,513,547,113,
566,024,224,619,341,226,209,086,681,857,139,782,151,588,270,881,358,441,365,
759,062,371,069,339,268,227,687,990,847,681,370,389,564,526,535,292,343,624,
368,073,862,217,229,515,707,785,750,417,878,939,890,379,691,927,914,436,115,
802,734,898,546,565,284,080,719,276,682,971,738,705,263,097,562,026,491,024,
030,415,089,029,726,021,028,254,288,678,481,215,965,322,725,710,569,003,391,
469,381,360,764,236,214,172,244,480,929,564,902,684,294,067,740,604,731,052,
903,006,088,415,506,287,946,658,808,585,551,569,003,286,606,130,309,708,419,
272,595,632,362,781,307,352,706,529,516,793,215,655,713,545,579,498,483,372,
387,952,281,595,512,059,420,587,461,003,904,423,302,313,462,157,246,507,094,
169,033,140,368,967,649,103,284,258,700,702,555,620,862,941,131,893,243,418,
903,132,433,948,372,317,790,421,120,713,836,978,274,744,667,076,161,921,619,
228,835,216,790,842,850,257,985,417,559,140,339,398,512,108,128,820,930,424,
704,231,746,558,494,841,054,714,310,960,663,187,749,203,603,802,476,963,621,
761,789,662,981,283,241,155,320,134,227,965,404,918,518,808,447,785,359,256,
262,995,040,429,616,254,760,880,826,709,037,924,143,666,982,311,844,894,380,
345,571,111,888,210,821,543,375,665,589,848,322,537,048,440,412,176,182,978,
778,737,108,852,996,705,266,935,339,028,980,694,528,131,098,597,033,860,336,
537,230,457,431,111,378,038,259,868,931,618,480,935,063,413,966,952,207,184,
868,209,667,320,075,830,114,164,344,833,090,026,758,271,278,524,173,430,823,
259,421,721,547,753,728,788,391,743,003,827,172,648,328,205,741,830,906,446,
853,003,431,137,822,176,728,707,172,434,212,965,943,739,889,322,734,729,936,
466,317,158,536,056,428,927,121,552,294,246,208,076,723,959,298,158,264,877,
026,083,723,577,988,259,991,322,881,414,918,673,683,716,614,892,617,821,078,
867,013,445,253,736,616,795,308,205,568,015,595,091,842,046,987,121,164,359,
874,731,380,236,531,789,383,808,811,446,566,576,389,412,527,357,970,280,999,
312,525,151,739,287,211,295,178,493,036,393,857,099,815,529,132,484,760,857,
884,737,331,875,484,976,736,840,984,894,905,690,500,588,890,995,328,183,118,
147,723,693,396,691,591,773,033,574,642,449,912,030,571,097,715,010,092,268,
931,008,212,457,021,035,240,015,814,848,753,530,638,505,851,825,846,305,454,
204,300,972,411,073,228,009,961,937,289,704,369,535,142,314,286,280,884,741,
116,392,969,416,416,883,946,265,741,663,102,677,092,691,850,482,982,431,097,
754,157,710,187,874,690,781,090,282,589,803,833,079,882,149,489,363,059,106,
260,355,866,750,158,251,969,478,449,781,172,957,848,590,815,055,824,667,285,
176,054,000,801,931,824,015,817,428,808,454,131,910,752,040,778,275,787,095,
756,451,312,816,889,412,618,760,632,926,393,378,093,636,322,820,979,641,957,
429,608,334,603,605,825,540,370,435,267,480,894,885,805,614,753,391,539,968,
786,710,636,985,663,773,369,385,344,879,956,682,181,711,631,545,701,849,858,
799,475,899,196,452,955,392,159,064,954,147,908,352,518,345,752,566,311,809,
810,902,258,772,180,935,607,122,261,803,504,110,405,273,313,358,736,397,930,
889,593,524,446,176,886,763,102,637,382,818,235,499,497,973,518,673,129,027,
223,504,255,233,095,001,510,986,583,233,805,241,428,920,623,947,681,294,329,
174,429,485,259,183,630,160,317,140,005,302,205,976,896,347,891,507,555,100,
428,378,237,953,929,789,798,347,198,283,555,024,843,270,508,494,757,742,323,
531,595,754,579,800,032,641,501,144,835,735,118,975,570,943,213,220,421,243,
515,982,792,516,810,538,773,510,438,542,608,018,551,849,526,785,105,969,180,
037,211,356,534,498,600,072,902,688,952,945,880,255,030,957,111,095,372,545,
598,353,732,215,464,187,983,441,621,002,705,319,083,290,088,367,191,557,249,
348,173,466,408,262,504,680,249,554,664,084,181,745,999,476,636,051,377,692,
060,446,727,294,528,610,208,352,186,536,726,629,070,548,241,914,277,328,944,
827,158,435,171,278,574,755,234,163,950,268,271,311,426,261,490,378,403,135,
514,247,316,584,168,696,375,697,227,702,304,319,513,156,597,234,853,373,125,
981,992,789,726,186,090,853,995,201,159,087,581,224,931,470,707,252,798,930,
340,494,443,081,933,493,801,805,784,738,511,255,334,042,763,720,271,507,530,
432,673,495,929,650,330,710,388,363,965,975,898,732,839,114,473,581,717,212,
372,131,805,782,401,167,133,009,602,495,039,878,789,784,394,231,619,490,054,
958,039,904,924,257,734,746,043,527,906,193,070,550,692,583,810,492,208,993,
231,602,848,352,815,752,551,984,949,262,329,187,552,776,340,147,614,981,830,
887,097,416,174,771,812,327,338,539,423,869,751,334,991,701,426,921,052,039,
070,058,483,929,085,114,286,359,212,777,106,202,787,589,102,488,003,211,665,
516,546,622,365,298,202,465,070,262,632,111,113,850,434,374,194,838,767,595,
811,128,955,491,426,426,970,661,242,399,597,366,277,688,545,257,681,252,225,
622,296,567,457,711,550,969,266,121,869,937,119,536,571,448,414,379,327,265,
560,468,837,484,553,889,056,264,751,850,982,455,452,392,051,136,924,742,033,
124,800,881,105,232,779,425,550,678,128,911,534,573,551,384,610,285,581,296,
614,522,881,248,344,203,093,890,691,191,217,544,694,329,801,407,325,398,354,
450,860,082,234,449,857,810,404,797,202,295,379,711,204,934,308,074,973,894,
120,312,686,542,847,007,891,152,047,522,730,885,159,002,403,824,280,820,247,
273,481,477,713,868,152,180,885,706,452,067,474,438,172,536,997,153,454,953,
628,584,072,067,554,871,412,747,432,259,734,012,821,110,639,372,826,241,064,
849,811,815,019,469,327,889,351,684,714,846,595,481,056,530,324,911,216,268,
746,797,084,098,892,759,888,690,276,393,728,864,706,450,965,137,962,446,249,
825,849,421,396,248,821,980,704,360,603,664,530,198,232,891,715,408,322,213,
260,534,520,701,929,193,806,774,649,262,178,496,246,523,843,932,606,437,551,
573,330,957,057,011,779,881,603,095,013,796,307,273,876,203,915,881,843,388,
541,040,416,269,096,471,932,995,972,126,781,497,792,969,645,345,312,344,181,
480,626,942,253,566,848,669,945,889,088,528,025,759,469,482,969,794,412,670,
973,642,941,677,478,891,216,140,932,160,012,062,862,630,755,555,556,386,819,
513,747,930,596,867,777,016,847,431,975,642,468,790,682,343,104,909,965,335,
383,760,493,668,802,568,195,320,795,234,868,153,367,404,101,540,205,738,802,
297,300,834,630,054,996,981,229,306,760,169,037,889,439,293,875,712,216,734,
718,101,252,392,433,381,138,686,482,428,689,130,123,548,120,034,085,628,356,
417,235,270,639,046,708,806,960,772,235,501,120,602,401,904,612,642,277,461,
143,292,247,844,858,356,771,674,746,753,619,678,648,423,367,320,652,949,371,
123,363,344,693,176,598,084,894,259,101,803,851,551,171,039,365,398,089,751,
241,299,685,625,893,718,970,026,791,897,081,120,096,922,604,824,879,617,861,
195,408,646,243,446,335,578,667,334,871,620,690,412,465,888,964,524,964,743,
974,477,998,976,798,835,354,823,105,342,952,652,044,869,017,531,090,135,118,
721,070,612,842,152,273,162,452,426,929,150,951,158,386,529,119,293,760,421,
278,391,972,970,452,881,714,600,408,943,311,891,353,069,096,564,400,677,201,
369,461,817,112,735,918,553,993,503,055,429,010,468,742,818,160,005,033,878,
805,517,309,703,402,530,579,891,568,406,906,094,183,099,039,144,591,294,172,
838,114,263,023,815,405,857,684,449,755,037,312,590,468,930,132,119,609,297,
108,514,249,458,566,618,747,617,105,480,945,689,334,455,695,697,010,917,782,
974,354,474,348,403,108,938,878,032,345,542,658,669,962,752,812,130,092,334,
478,288,323,658,186,684,926,082,798,661,995,032,789,683,615,670,343,040,111,
095,369,279,214,792,815,935,433,644,657,914,208,144,299,670,695,410,162,288,
503,583,267,955,655,233,425,659,909,638,801,782,758,505,711,126,410,438,906,
440,511,901,529,541,175,625,057,293,339,921,920,256,502,223,557,329,896,625,
575,453,194,118,152,665,217,201,807,319,126,406,504,373,977,110,986,748,344,
668,181,427,666,613,776,837,600,662,006,157,766,760,441,471,204,316,709,815,
837,304,987,657,536,098,064,155,696,413,260,683,681,271,764,628,158,719,555,
378,102,050,884,101,647,994,595,888,501,581,449,514,375,020,937,007,647,788,
506,814,568,106,781,015,296,305,784,549,832,981,000,677,341,151,168,569,894,
469,952,920,702,577,771,552,559,080,353,863,356,058,444,862,585,809,905,474,
993,528,573,169,212,961,049,029,532,413,463,784,673,156,672,962,946,192,214,
143,953,923,376,245,291,219,308,296,497,922,792,826,759,175,307,052,025,954,
565,432,334,977,048,153,939,182,959,860,155,508,514,889,596,424,367,896,374,
469,541,139,043,103,819,367,242,521,457,024,608,434,307,620,266,545,686,354,
630,896,976,324,274,936,692,782,904,354,491,210,589,100,020,036,618,579,760,
275,773,608,186,813,796,301,145,056,108,740,225,006,693,567,990,759,775,080,
817,027,456,783,315,056,738,608,510,173,871,996,197,541,516,093,849,687,558,
214,103,356,388,802,886,130,659,351,116,784,365,398,899,184,153,214,762,340,
523,469,721,185,166,846,024,056,953,311,865,948,074,729,026,812,791,835,185,
825,543,120,426,294,753,727,030,516,500,087,207,381,194,018,314,308,345,352,
868,822,068,113,869,127,332,868,521,429,542,215,612,754,901,835,343,059,121,
927,731,561,267,355,435,467,056,985,297,602,496,490,328,128,445,092,210,624,
956,802,369,563,147,427,723,241,902,234,545,771,940,853,873,024,135,046,111,
544,214,353,538,590,586,044,770,708,703,127,087,904,810,913,451,943,128,860,
893,882,119,442,684,622,420,187,983,805,869,393,302,895,703,992,026,830,007,
624,200,737,740,274,573,666,298,175,368,016,880,968,914,745,829,212,792,167,
806,604,271,099,159,400,747,397,642,723,263,426,969,798,760,834,495,483,275,
698,390,686,797,881,516,181,805,257,893,094,640,679,652,759,629,818,438,196,
461,201,448,747,421,554,040,244,638,164,208,182,515,512,463,119,348,810,902,
216,701,112,730,414,835,679,178,442,076,757,034,133,528,863,334,108,902,519,
054,875,696,273,428,919,087,757,570,268,646,033,579,863,559,325,127,929,806,
781,457,158,667,892,809,874,706,218,144,483,013,438,716,828,630,566,200,662,
086,363,281,266,918,052,467,812,779,929,223,974,198,860,712,236,640,443,188,
862,826,453,482,321,021,896,312,260,213,456,526,846,515,099,484,616,830,926,
230,247,933,649,097,187,607,698,600,809,108,686,632,556,395,282,377,260,788,
523,614,828,228,176,282,887,819,498,339,024,456,582,474,809,337,799,405,185,
836,710,741,151,688,919,360,300,944,894,188,115,505,057,368,088,317,468,798,
888,247,633,522,290,630,570,570,646,457,328,452,890,743,449,311,657,935,090,
125,617,212,359,594,540,788,163,907,796,534,954,575,908,647,417,939,100,473,
230,935,618,029,311,072,391,407,356,190,000,373,683,798,391,203,373,633,495,
044,508,668,110,660,178,596,133,958,649,014,138,715,995,879,416,423,250,270,
203,921,420,081,080,623,592,888,822,150,833,493,987,991,884,321,478,236,358,
980,549,724,327,724,315,701,739,807,481,346,343,717,946,600,075,546,862,417,
862,186,749,382,016,680,818,353,896,503,454,370,306,893,683,178,939,227,026,
493,123,175,838,935,410,673,645,460,704,477,764,163,018,974,074,618,129,414,
543,078,331,957,025,910,817,785,743,974,504,048,963,698,619,394,753,740,464,
724,234,303,316,531,412,897,012,576,185,709,501,988,531,348,589,291,519,971,
795,815,165,991,895,458,262,357,941,733,963,292,882,307,827,266,216,109,365,
637,924,002,791,058,717,396,056,715,834,083,150,155,598,643,651,187,680,278,
304,583,212,226,758,054,244,496,222,161,708,755,829,302,633,109,195,182,337,
148,763,943,225,187,439,523,205,991,142,349,640,862,723,126,823,962,956,010,
727,958,592,261,611,981,156,975,904,618,255,084,990,084,521,760,751,146,927,
274,442,296,914,365,792,175,452,982,248,103,703,439,039,616,500,499,521,387,
938,870,897,138,154,941,862,982,868,679,927,561,071,494,291,186,477,988,283,
826,674,630,173,740,035,182,374,423,925,511,528,571,754,455,251,413,244,331,
807,924,820,705,250,954,143,953,634,064,538,100,947,061,075,045,775,003,410,
910,040,114,698,030,830,351,254,959,958,530,939,507,301,916,047,502,572,585,
335,111,108,053,862,264,813,337,709,954,191,059,324,234,551,001,261,911,829,
541,146,740,861,567,517,149,434,344,359,927,448,070,120,980,523,534,040,642,
852,017,449,804,121,859,850,328,769,528,169,202,757,816,366,888,488,257,981,
786,194,963,648,212,402,418,643,263,823,212,530,046,156,145,910,590,928,709,
687,683,675,823,505,036,497,816,348,513,107,111,476,818,851,952,963,964,712,
677,907,284,804,148,204,465,774,729,743,117,825,456,476,226,535,740,936,592,
269,606,024,421,061,267,750,460,608,194,548,701,382,683,655,595,922,725,075,
144,360,559,100,773,775,598,680,646,230,582,144,598,817,221,661,784,582,721,
852,376,603,494,085,617,639,477,361,772,643,115,570,765,259,799,953,296,242,
246,419,295,802,471,744,585,995,320,741,299,018,761,482,860,427,878,336,958,
403,666,009,644,605,314,173,013,071,937,405,132,149,218,840,907,813,561,131,
840,431,184,655,555,892,121,136,228,252,665,608,827,024,560,252,502,361,182,
090,647,455,469,811,087,433,942,178,703,997,269,148,322,684,472,473,371,672,
467,159,150,810,110,351,586,818,883,863,123,245,900,661,240,976,991,160,258,
268,743,729,329,314,297,499,088,156,612,154,057,757,744,917,011,902,134,455,
162,573,144,483,318,194,342,557,781,885,327,619,916,494,507,088,913,394,734,
552,086,120,666,292,373,049,663,315,755,517,905,980,735,263,573,079,499,233,
090,456,277,485,169,327,374,319,399,080,199,508,880,916,483,602,563,031,182,
560,656,740,662,883,869,269,518,842,782,196,123,742,270,553,404,883,899,768,
316,591,614,429,314,608,058,612,969,595,087,743,877,260,682,690,887,513,910,
084,421,438,161,269,399,357,405,475,875,032,233,588,654,533,290,864,692,474,
019,238,391,384,593,249,000,483,101,529,421,579,867,271,554,275,699,780,480,
440,455,750,051,664,221,304,158,283,696,152,637,493,781,601,172,106,485,701,
819,836,565,875,375,555,886,628,663,924,545,273,448,518,523,161,245,877,620,
668,246,710,411,054,289,985,964,422,670,542,461,909,666,103,181,682,641,479,
875,771,020,787,184,235,996,911,783,474,841,944,873,622,632,892,715,752,396,
791,693,030,540,190,619,402,706,664,217,898,430,534,804,955,550,633,386,262,
580,785,675,476,289,196,068,485,398,082,459,349,724,541,042,841,773,855,526,
762,806,296,082,803,628,645,573,641,666,547,522,042,854,961,663,213,580,966,
616,189,149,388,212,933,947,255,537,545,040,791,668,055,866,565,387,973,049,
199,480,068,513,603,142,427,186,566,452,922,974,389,532,068,019,621,327,526,
022,395,747,408,801,535,175,937,842,089,563,545,483,122,118,943,012,877,894,
732,545,117,187,906,064,122,371,341,367,089,236,007,677,075,194,630,904,131,
301,525,207,690,902,724,630,388,562,551,619,910,374,835,696,939,819,132,526,
908,169,220,652,552,728,765,664,123,381,503,531,177,352,169,797,349,088,694,
094,349,110,640,671,588,524,033,704,869,156,999,716,793,348,865,594,559,267,
380,977,221,912,859,744,715,353,686,042,540,842,349,679,101,675,751,378,585,
377,173,466,766,659,502,731,525,626,210,513,294,679,750,799,842,537,753,677,
305,633,842,529,613,546,515,101,802,350,514,573,191,793,908,645,186,387,566,
006,003,546,472,610,993,352,589,092,153,976,420,686,560,500,380,143,756,199,
250,488,127,406,429,216,851,801,744,849,244,570,470,052,369,413,714,618,178,
509,522,011,221,758,567,651,574,738,498,493,236,611,744,685,070,007,616,136,
527,091,892,546,318,250,100,860,086,375,610,436,501,525,250,281,129,269,284,
735,768,763,346,918,658,938,559,349,345,516,838,879,207,283,203,454,190,843,
184,203,175,772,166,606,140,273,262,346,543,892,572,240,126,488,557,030,536,
420,956,422,432,943,464,924,285,968,308,536,354,117,652,334,534,166,122,864,
885,066,096,749,429,595,617,512,789,264,287,180,903,021,259,561,067,298,103,
015,445,877,302,905,810,656,548,105,476,634,148,341,277,732,570,628,531,752,
853,051,598,855,880,166,451,459,074,095,500,816,648,708,177,832,685,007,170,
811,697,251,324,010,406,210,550,377,116,485,679,087,343,664,751,654,117,783,
133,397,331,696,973,568,972,494,777,839,404,355,757,705,650,621,962,817,097,
068,896,380,438,963,251,706,648,293,006,085,312,933,835,902,268,304,180,943,
487,908,897,672,461,663,439,456,250,449,824,654,743,390,427,649,681,304,061,
453,548,765,092,296,685,118,820,179,462,160,362,813,364,634,523,694,804,849,
116,505,538,015,549,526,197,909,887,390,843,507,432,782,398,418,704,064,373,
115,349,022,920,540,939,146,684,826,289,850,620,471,073,762,799,375,730,101,
437,342,112,936,062,459,224,819,969,339,226,724,330,153,808,978,955,382,819,
713,419,598,455,115,204,060,223,786,325,201,566,914,549,564,957,232,347,129,
400,513,840,483,558,086,619,875,119,113,690,517,962,065,344,596,724,844,670,
436,356,014,941,245,519,715,817,746,050,082,485,156,421,963,499,588,518,123,
848,548,669,675,241,962,977,026,866,893,149,099,475,060,509,847,431,493,468,
971,840,921,354,012,827,360,446,172,994,784,326,428,045,264,313,250,725,350,
973,333,366,121,714,782,718,065,366,796,987,553,500,426,610,473,352,603,487,
531,785,183,835,762,173,470,820,687,631,464,290,450,428,832,332,083,059,631,
548,018,288,674,700,482,050,433,261,300,578,261,535,857,193,807,074,289,862,
762,134,718,953,522,811,586,044,237,380,388,264,836,653,992,978,561,951,320,
759,369,769,675,306,758,568,792,706,685,121,999,425,497,932,800,356,352,346,
454,377,579,205,290,834,038,964,331,526,624,964,222,088,484,957,819,411,896,
909,216,467,264,775,559,857,638,835,516,429,861,912,219,230,313,952,958,134,
426,156,840,312,138,886,215,391,781,371,503,796,350,800,989,677,551,143,313,
946,984,761,163,225,782,272,889,024,426,385,679,294,267,179,107,405,675,169,
181,463,130,276,682,131,103,416,126,826,054,260,223,016,289,489,107,364,115,
357,781,998,726,769,935,186,138,609,257,786,289,444,742,246,996,985,680,152,
017,683,821,951,792,028,688,381,133,153,610,749,634,841,823,074,410,583,519,
359,621,640,857,816,260,151,641,687,250,529,141,046,542,854,957,644,534,405,
325,320,962,570,299,956,651,995,699,100,826,834,134,739,306,679,241,507,835,
480,941,817,768,175,316,484,253,114,376,208,299,617,282,371,598,761,756,033,
152,481,049,136,421,186,061,979,312,379,637,170,981,536,014,172,676,301,165,
524,712,585,703,175,272,472,433,949,776,342,147,468,847,704,136,489,373,263,
921,737,088,520,474,183,145,780,036,590,553,176,371,632,200,534,029,880,905,
520,280,983,802,190,309,323,636,456,661,106,361,119,737,927,128,449,709,900,
976,092,149,844,148,128,149,546,469,619,701,385,063,891,004,948,299,887,823,
604,622,954,145,853,581,860,245,896,496,198,818,585,846,315,659,167,371,656,
379,696,353,153,640,870,057,600,575,936,114,320,062,490,079,658,983,287,720,
341,772,430,851,298,697,223,023,609,757,248,629,470,329,121,743,121,112,220,
834,098,373,311,782,748,751,499,268,064,624,994,063,000,258,279,747,552,730,
669,273,153,529,624,598,110,875,652,185,953,480,188,728,955,034,237,229,287,
057,920,512,843,304,480,108,223,950,834,800,376,410,178,528,371,043,179,899,
288,287,857,096,251,530,661,825,862,838,296,391,855,720,640,103,594,209,001,
890,996,058,931,317,230,293,146,958,398,349,932,569,577,116,286,839,397,185,
519,400,400,387,317,517,715,817,364,915,978,584,824,716,998,457,015,671,598,
004,087,466,477,264,123,175,438,401,883,497,794,954,332,745,551,693,260,976,
659,704,363,893,200,981,880,112,537,448,466,076,603,227,614,375,368,232,632,
561,660,883,004,547,118,755,189,636,711,334,881,024,541,815,295,042,097,502,
678,667,835,605,156,661,375,118,467,008,561,874,930,422,535,572,063,968,691,
653,490,924,877,324,077,798,494,173,610,245,493,158,913,242,860,992,244,242,
339,043,819,386,458,550,554,046,065,989,180,268,377,172,819,307,538,054,832,
752,435,664,520,984,692,637,506,799,624,276,503,767,080,321,336,235,067,039,
971,734,273,111,692,292,558,794,922,419,205,857,994,413,145,281,753,573,466,
550,413,636,649,689,128,599,361,090,186,503,486,683,677,229,269,272,727,084,
044,890,916,421,288,021,049,395,700,507,674,848,869,079,272,169,160,570,630,
380,141,800,738,598,175,234,230,440,018,758,730,312,228,408,998,811,255,453,
155,092,336,227,583,004,151,071,691,375,569,976,549,719,168,188,345,591,507,
252,495,627,384,865,929,849,955,624,867,635,503,538,605,211,906,040,269,351,
631,228,156,447,312,176,426,960,178,928,685,864,033,121,089,167,822,327,563,
440,722,486,690,849,821,993,315,235,449,163,611,437,679,194,068,414,586,988,
437,448,868,269,727,466,828,393,238,660,582,678,883,470,705,656,123,812,466,
939,968,965,617,673,739,153,525,275,609,222,199,903,889,948,872,504,859,673,
578,819,142,767,841,336,497,148,787,926,845,931,013,267,845,400,537,614,027,
805,722,278,241,528,271,284,363,441,895,492,393,697,571,064,990,076,852,559,
661,838,099,295,577,441,766,026,739,038,976,629,297,090,558,333,079,431,488,
583,764,754,686,089,194,175,687,194,700,404,350,867,485,432,933,495,363,794,
001,694,685,455,437,608,240,151,101,255,282,208,776,170,163,023,160,984,031,
193,636,255,394,829,598,256,642,300,306,637,592,242,383,850,287,384,002,196,
832,501,581,434,568,363,460,646,139,688,046,640,289,235,836,736,387,355,183,
819,260,302,087,602,660,615,144,744,413,922,460,605,455,595,915,985,188,363,
146,097,464,480,494,728,964,081,694,465,146,410,452,287,712,374,580,462,254,
884,613,599,515,554,668,866,564,106,237,680,227,731,456,126,736,481,338,133,
112,292,068,046,454,569,504,972,750,146,922,063,740,230,742,276,334,443,251,
698,146,407,090,499,314,887,098,225,104,769,114,361,944,529,632,774,309,353,
286,542,977,050,672,149,998,435,670,836,736,612,672,896,274,602,677,837,289,
323,108,573,857,141,515,163,078,761,778,002,240,728,939,553,161,648,780,103,
194,524,613,850,720,946,253,938,375,101,442,506,444,439,279,854,699,275,720,
440,430,877,428,300,214,854,854,812,144,919,722,224,960,131,138,466,749,838,
693,994,824,473,852,067,106,933,453,639,220,858,301,449,272,403,925,303,925,
380,474,060,884,199,345,756,980,859,825,530,412,535,127,888,963,301,858,065,
148,028,706,276,027,358,254,629,834,740,066,883,640,634,501,289,518,838,708,
499,120,712,989,279,017,292,812,162,315,108,379,249,555,732,160,734,608,168,
894,771,048,937,978,509,146,365,960,172,011,992,172,529,965,915,006,060,791,
787,078,911,216,437,869,346,322,837,334,610,910,032,332,669,484,508,191,529,
799,594,142,190,376,232,860,885,106,086,638,907,379,461,165,296,359,929,626,
996,312,165,173,221,417,073,361,113,249,546,259,308,198,340,042,813,699,150,
296,762,909,777,829,506,780,922,083,425,631,049,510,055,238,141,159,192,137,
881,485,473,355,830,078,368,820,748,892,268,284,814,130,666,676,574,863,984,
273,871,370,413,482,422,493,607,336,461,697,404,470,155,333,127,655,693,971,
811,900,052,736,813,632,035,915,465,305,702,440,380,917,166,890,304,357,354,
623,519,986,080,693,300,085,990,156,919,662,144,989,217,441,995,345,701,458,
730,284,401,908,176,603,294,522,762,426,639,046,999,606,950,245,971,539,286,
265,790,404,970,097,023,721,197,740,936,920,818,362,910,966,383,426,149,892,
654,948,196,578,618,735,558,419,018,946,354,702,843,197,653,352,661,429,549,
355,093,630,011,277,905,786,622,270,754,829,452,727,030,960,817,047,926,517,
978,095,838,607,249,050,851,961,469,361,734,692,561,927,754,686,599,041,058,
092,668,811,787,566,699,204,374,407,358,928,016,190,344,563,355,109,159,783,
330,316,928,478,016,055,135,477,183,351,423,607,677,043,926,226,896,785,202,
194,454,092,148,146,065,303,476,065,340,404,289,117,993,865,185,315,759,972,
361,049,839,514,558,430,047,813,680,879,451,950,608,252,256,346,169,658,588,
044,092,622,002,001,710,123,282,640,369,520,370,055,871,025,080,224,986,697,
604,530,148,063,751,811,641,944,852,104,723,781,278,009,986,642,628,146,707,
271,007,806,455,554,627,567,199,625,080,735,138,802,148,195,223,404,803,156,
483,046,634,063,919,150,706,749,344,757,419,448,069,508,375,092,601,451,514,
140,289,368,423,292,733,311,382,476,183,917,986,829,886,044,082,819,150,599,
288,564,896,213,858,449,832,542,749,037,038,826,909,520,961,617,621,317,717,
372,458,339,891,359,443,705,813,460,518,400,151,787,901,799,141,388,959,899,
686,967,022,912,587,976,265,918,202,626,395,243,062,871,030,675,012,647,740,
554,014,261,613,941,193,634,934,949,052,692,026,049,874,029,051,603,339,817,
508,065,936,681,048,993,739,611,393,695,935,940,070,484,763,868,115,331,388,
294,491,744,160,151,512,802,762,437,291,946,819,048,049,170,391,446,186,058,
137,860,753,429,164,101,544,122,343,870,480,256,499,394,410,505,295,351,311,
797,394,606,436,444,233,980,994,205,328,852,397,726,567,776,525,055,863,805,
720,220,904,665,000,701,086,011,410,979,103,826,104,533,871,858,080,646,893,
536,677,683,669,011,950,008,291,127,767,493,035,091,797,639,003,704,834,502,
797,468,981,191,694,119,439,479,060,864,728,147,176,245,541,941,775,048,564,
473,735,191,662,884,099,296,082,172,464,904,960,859,979,504,489,609,600,204,
375,767,318,184,519,235,918,023,132,550,286,905,662,799,161,302,563,414,483,
071,885,550,250,683,092,090,223,257,370,527,607,288,824,938,893,655,472,775,
756,244,898,862,430,131,932,339,686,460,728,850,862,746,733,285,500,563,492,
064,698,933,285,257,590,749,700,916,487,627,236,767,907,642,046,177,596,191,
420,973,126,911,668,755,619,237,994,636,616,606,620,573,909,432,952,936,199,
807,868,805,376,409,733,861,305,611,343,945,168,962,503,659,568,482,274,607,
230,426,411,613,510,886,209,613,087,027,870,867,612,106,831,264,515,913,924,
039,711,305,880,365,777,955,193,099,596,371,968,146,879,120,542,155,865,002,
716,724,137,382,179,800,571,355,442,935,506,708,427,230,838,401,399,754,059,
848,165,659,070,658,222,730,812,308,178,211,321,515,481,145,859,076,747,385,
438,155,561,756,843,775,046,317,825,545,624,049,267,672,382,190,410,574,192,
060,655,388,467,335,407,986,006,832,734,357,688,087,310,480,258,794,566,688,
457,322,079,972,525,192,540,190,601,454,741,154,074,009,822,976,216,825,664,
048,893,734,799,165,327,510,570,305,510,955,687,038,999,239,566,059,586,355,
012,484,400,558,026,637,902,913,599,997,697,697,725,198,282,889,293,861,126,
231,128,581,146,787,195,793,596,066,748,509,204,753,574,657,828,455,524,489,
671,430,688,125,967,095,154,471,293,850,885,862,377,070,610,428,968,367,598,
331,486,140,170,140,072,222,450,237,267,324,536,971,643,731,862,231,427,358,
205,749,159,823,869,401,908,738,590,736,530,938,238,583,279,056,131,638,025,
142,214,154,776,432,940,684,317,086,194,200,283,010,967,835,724,836,035,161,
247,330,518,431,384,817,418,549,721,743,321,062,509,486,494,255,180,265,610,
493,061,806,423,802,622,782,740,728,773,600,100,724,903,535,873,252,453,118,
059,642,144,033,030,914,475,388,889,546,588,787,415,642,159,505,702,531,379,
648,405,911,842,932,024,075,475,333,538,203,653,016,552,394,285,919,688,663,
690,248,995,114,022,757,346,704,141,735,478,725,366,350,744,306,508,835,087,
538,404,746,458,939,807,613,021,713,136,062,429,561,314,271,092,890,921,809,
774,689,522,200,483,537,216,345,875,008,153,452,915,180,195,423,401,973,940,
098,454,440,294,246,245,016,882,415,818,520,058,850,496,501,826,646,111,955,
431,172,241,247,973,419,789,516,190,187,712,577,829,749,562,462,832,648,271,
813,346,421,734,812,386,116,342,181,908,749,213,553,373,174,133,653,464,193,
577,199,479,090,315,918,062,529,903,986,559,028,622,728,305,225,950,671,397,
256,124,854,210,329,172,986,882,518,381,596,379,464,434,468,098,165,802,271,
144,227,209,481,822,504,154,024,974,325,171,978,987,323,544,000,388,693,602,
524,864,681,049,378,187,496,528,019,873,446,038,413,316,749,013,321,920,225,
822,148,910,827,742,381,295,263,686,206,846,650,965,507,750,306,125,223,476,
642,910,244,169,510,956,998,599,380,489,204,501,190,855,010,618,319,960,856,
334,955,244,061,559,709,877,220,022,633,931,963,266,213,523,449,311,482,254,
083,481,914,744,851,485,094,313,186,213,112,179,177,849,607,529,613,026,331,
675,030,631,885,879,505,088,778,149,805,882,163,697,848,479,368,164,880,802,
403,669,768,684,525,204,673,743,097,210,793,431,423,591,321,037,219,542,760,
421,463,580,727,401,744,991,109,184,980,802,635,013,120,658,268,126,610,150,
989,804,419,001,305,408,683,628,942,159,435,202,335,399,390,184,834,058,706,
717,138,672,517,153,526,309,652,262,681,982,468,367,428,673,932,757,436,681,
210,755,369,468,273,378,438,280,765,022,968,572,881,689,269,249,620,372,598,
185,807,300,527,111,669,790,839,323,571,101,235,767,484,215,244,692,012,507,
795,111,847,685,878,805,987,477,375,190,277,159,744,591,055,034,120,030,540,
037,235,280,064,063,639,474,687,964,302,025,264,590,828,435,708,114,765,963,
748,706,464,115,321,658,477,952,000,673,296,184,414,675,295,194,644,443,927,
621,660,446,783,334,022,262,376,999,564,807,520,920,602,940,971,785,403,493,
407,753,099,790,707,552,398,337,577,974,728,884,707,117,775,573,254,291,230,
987,001,663,845,394,578,058,832,485,048,076,022,228,081,010,960,523,035,507,
890,552,997,642,334,953,752,644,025,163,823,766,863,424,703,107,026,212,662,
752,889,893,824,622,570,828,564,249,298,633,069,849,131,465,814,830,198,271,
147,864,897,595,351,663,621,185,581,598,970,122,216,174,946,834,937,147,463,
713,028,137,977,431,530,193,601,341,720,005,222,695,858,061,408,057,531,969,
527,528,807,887,533,131,606,304,271,273,284,016,542,857,883,665,617,637,962,
073,847,919,798,044,741,248,050,863,064,574,218,901,013,602,993,466,859,906,
682,812,486,023,906,791,239,031,304,545,487,659,384,177,167,415,960,216,210,
491,751,489,305,450,074,631,012,342,201,783,943,482,984,709,667,189,596,314,
931,873,233,433,879,368,602,462,561,424,147,795,835,269,285,502,204,775,702,
348,611,327,594,993,190,056,954,914,909,294,498,861,125,266,001,925,980,991,
911,236,890,432,681,806,152,595,751,809,481,692,744,106,715,327,611,749,272,
832,965,347,190,767,161,175,793,392,091,944,513,194,625,644,636,412,199,038,
764,272,790,864,967,236,152,120,695,872,837,666,304,053,266,384,002,417,516,
897,056,835,279,313,700,285,600,283,341,546,119,856,244,683,048,662,919,810,
060,892,410,698,801,048,840,275,551,896,597,970,175,313,826,616,693,712,509,
058,884,503,407,665,882,101,695,770,352,384,782,097,005,714,155,093,839,394,
646,924,919,860,498,625,189,271,087,070,189,537,511,475,968,493,396,550,510,
641,840,927,475,572,797,557,877,940,264,802,065,996,064,639,748,228,877,616,
043,528,631,202,521,705,699,175,075,776,084,674,889,148,523,879,442,022,714,
599,388,149,570,542,567,808,260,183,154,110,370,672,142,922,653,271,803,912,
188,809,171,739,947,216,242,334,155,801,230,711,861,233,271,907,808,561,109,
846,590,905,782,119,431,437,014,572,936,111,211,481,018,643,104,470,605,299,
561,081,312,702,174,807,308,365,085,100,919,798,751,380,963,719,229,448,370,
700,856,109,305,850,567,103,801,278,354,728,123,759,558,135,053,409,024,220,
712,863,175,141,143,030,473,825,180,547,696,572,838,059,719,462,176,369,484,
773,188,131,822,227,521,391,326,269,452,986,626,958,554,201,988,308,716,983,
923,585,286,741,559,605,433,072,774,605,827,861,885,552,599,467,789,956,573,
725,861,008,063,576,595,078,157,151,957,710,025,947,402,018,037,777,961,018,
402,630,760,893,728,098,371,139,372,430,583,399,697,042,879,304,873,284,042,
706,703,776,044,638,785,668,282,423,216,634,493,510,746,555,737,564,086,055,
947,124,843,623,163,800,386,044,079,022,755,075,346,410,810,666,408,059,814,
414,164,122,086,788,483,454,589,742,611,544,506,968,187,521,152,059,941,294,
356,902,828,154,643,746,222,373,839,001,990,845,591,097,646,800,689,839,083,
155,241,231,291,974,485,072,503,738,959,414,972,665,914,197,629,113,254,140,
997,899,212,944,738,294,540,838,827,534,294,574,729,390,370,458,065,288,176,
194,079,484,065,471,701,830,186,647,824,994,247,170,909,479,901,719,554,379,
050,705,246,238,049,562,685,223,038,647,272,556,389,002,511,145,336,343,612,
868,803,238,573,715,211,604,658,414,494,044,462,948,003,586,993,754,098,990,
741,435,573,018,870,414,361,137,911,451,051,095,167,140,141,415,984,418,926,
133,533,718,132,069,164,235,644,172,046,503,713,835,595,862,631,344,945,280,
506,683,088,802,266,498,689,634,396,340,711,686,390,373,632,849,191,716,784,
292,716,046,134,644,109,571,609,687,005,614,517,981,299,897,875,033,576,727,
213,114,303,858,583,090,829,030,405,878,643,287,148,023,370,052,138,629,568,
672,977,549,061,275,217,410,170,102,282,674,858,957,471,870,042,204,374,280,
492,016,755,435,315,314,899,502,483,488,396,162,018,040,295,592,860,023,151,
539,262,240,742,140,222,624,366,491,104,808,306,019,113,063,794,796,882,544,
534,408,023,170,435,390,182,234,959,057,985,858,977,910,634,657,410,252,415,
335,730,646,015,134,974,144,838,883,965,748,801,421,147,535,731,732,272,615,
429,726,145,634,497,585,475,436,639,874,570,043,738,468,220,554,562,173,283,
884,870,154,095,512,481,538,508,127,376,151,882,514,158,895,899,758,656,499,
142,642,029,708,257,494,665,599,694,987,894,806,489,532,786,299,644,571,110,
478,082,064,363,030,296,343,041,731,690,377,285,988,366,701,964,501,397,180,
612,188,168,053,210,764,572,181,285,074,692,239,030,592,402,697,219,535,687,
820,468,733,806,119,929,747,902,082,283,896,596,658,483,770,386,892,609,072,
756,862,333,140,641,997,177,286,979,157,549,148,973,328,183,188,428,843,909,
084,611,424,752,852,874,628,816,381,776,713,159,081,137,183,006,188,897,087,
966,775,446,984,862,809,669,994,212,830,609,460,671,222,165,391,936,007,204,
003,555,031,280,470,787,601,197,561,890,877,872,869,215,932,053,748,598,257,
340,435,673,222,541,324,521,971,363,887,309,018,929,104,951,293,681,960,815,
006,072,093,261,334,424,018,779,967,724,589,440,019,937,871,213,170,707,167,
484,969,883,865,123,980,665,521,998,718,683,795,401,092,411,254,773,596,163,
877,632,869,738,342,455,099,508,172,319,882,296,473,324,896,926,201,492,138,
438,290,832,210,826,526,346,101,870,760,766,538,714,477,303,667,186,550,959,
668,046,148,114,392,937,817,412,225,702,067,786,073,598,709,416,649,595,893,
271,346,329,181,890,626,822,669,654,812,166,928,665,410,389,497,698,595,023,
702,347,154,286,482,000,229,356,341,658,172,883,155,057,617,555,960,288,197,
348,195,540,249,121,582,102,122,708,565,546,646,036,385,074,821,961,801,801,
797,395,536,792,731,903,539,066,128,787,612,450,729,246,145,547,902,054,697,
528,315,828,915,563,299,015,565,331,467,951,066,156,160,400,551,990,537,507,
152,932,647,492,223,138,131,458,277,097,705,566,281,299,116,281,263,277,431,
730,610,268,383,321,227,026,866,406,057,425,816,649,313,957,184,729,773,037,
443,546,241,993,425,157,527,565,850,205,212,694,016,816,766,098,631,219,112,
159,758,403,205,268,379,944,969,910,286,830,886,180,510,043,639,794,712,128,
964,274,819,455,356,107,350,679,326,138,547,295,233,707,212,559,605,515,379,
628,310,619,155,821,203,291,105,963,128,910,129,457,715,008,463,763,946,475,
375,073,819,425,774,094,718,196,301,637,865,067,728,987,787,772,389,799,474,
689,216,671,872,763,474,153,124,502,310,406,570,389,011,570,534,087,814,585,
392,686,194,455,932,767,826,096,924,992,317,918,832,508,981,961,781,749,356,
458,479,233,510,425,590,624,482,774,263,528,415,471,119,233,602,021,285,952,
060,846,095,619,878,856,042,127,799,937,711,949,292,520,793,674,858,646,902,
971,262,480,785,460,890,998,202,793,141,709,613,411,680,736,819,061,076,802,
236,825,632,839,269,412,452,360,284,746,942,892,518,438,653,817,135,396,676,
372,350,554,702,337,318,917,801,906,824,207,268,669,514,098,571,804,997,184,
678,494,145,083,729,966,362,028,701,187,780,710,375,927,576,810,248,575,492,
085,189,590,277,303,080,242,211,744,482,718,568,594,938,913,385,452,204,371,
248,350,916,036,881,723,309,412,561,068,567,849,106,145,090,704,937,013,301,
382,973,982,941,729,013,823,793,070,075,005,283,363,663,695,275,942,608,827,
000,108,036,889,242,118,736,427,286,758,023,915,069,902,776,662,304,140,440,
211,613,779,481,739,170,043,239,400,678,897,939,149,156,659,015,884,381,476,
908,748,799,747,130,714,706,825,365,808,221,515,866,934,732,997,637,490,402,
331,005,467,390,396,150,037,242,271,373,787,911,941,390,206,488,467,268,468,
493,470,974,429,642,587,975,014,711,809,101,437,104,003,336,623,510,458,325,
365,201,163,021,857,816,511,040,797,263,945,197,564,964,943,698,181,636,915,
951,322,767,966,739,844,750,487,999,588,032,078,176,275,620,608,781,944,081,
879,989,771,715,521,327,271,363,135,901,111,240,317,052,933,727,868,882,132,
418,003,575,662,936,025,129,166,909,864,983,805,428,146,375,775,767,100,479,
083,646,123,354,946,196,631,047,520,503,480,898,254,985,251,142,816,487,185,
085,821,822,269,651,813,402,910,405,269,375,623,416,769,703,040,227,215,809,
033,317,826,078,176,370,793,785,565,442,071,891,780,387,994,992,631,581,161,
973,984,493,287,459,268,591,002,395,209,968,416,642,284,528,505,644,235,410,
105,403,276,667,385,098,826,407,728,911,690,173,536,106,866,606,497,804,006,
637,230,784,848,282,094,484,896,210,289,673,473,523,647,550,549,056,135,518,
059,272,233,564,130,575,984,272,195,846,890,478,802,796,676,077,407,932,188,
693,783,509,482,566,827,410,566,932,481,048,198,156,027,180,391,228,852,313,
922,265,908,371,449,742,023,867,754,922,116,538,433,316,483,692,395,814,069,
080,288,717,174,699,315,231,734,992,329,298,775,087,634,034,254,695,271,734,
578,971,955,233,235,869,800,858,122,100,139,978,655,708,944,343,117,379,518,
278,161,050,490,822,589,717,037,447,937,841,729,442,786,342,925,845,326,336,
279,530,938,340,249,833,347,356,332,470,310,788,590,205,508,373,735,043,977,
964,541,285,920,013,608,289,504,474,194,223,030,649,809,895,304,469,727,066,
342,753,751,889,606,862,105,904,140,088,542,604,902,466,937,576,936,539,246,
592,636,370,905,704,375,933,143,183,611,039,934,578,894,971,380,580,632,996,
017,587,522,989,765,512,538,142,147,084,646,412,172,011,219,430,704,648,274,
741,594,496,806,001,361,801,836,099,401,246,344,280,669,631,073,336,282,600,
969,573,135,306,825,460,694,009,227,337,398,029,444,025,551,515,104,692,893,
481,858,002,411,373,860,565,538,528,971,859,099,509,057,025,480,169,555,302,
193,314,362,748,982,925,730,680,320,669,567,299,533,791,256,487,118,467,639,
841,713,653,532,005,615,009,246,675,343,341,177,505,037,557,384,236,931,823,
949,004,322,720,778,442,831,990,314,561,533,776,938,624,993,788,413,406,527,
632,174,431,292,559,282,796,654,092,806,284,125,390,846,957,513,184,044,396,
044,112,262,351,418,054,757,672,493,760,596,061,566,669,030,198,100,503,715,
749,305,325,718,572,377,236,890,192,057,281,674,787,170,410,157,410,761,622,
250,245,019,560,481,339,452,609,319,297,549,550,357,051,753,842,862,513,273,
770,109,562,209,559,276,418,434,740,739,479,991,823,386,310,463,963,460,334,
002,560,342,491,378,591,470,319,285,377,687,186,874,401,323,231,226,230,225,
033,681,563,549,361,350,075,741,196,567,050,580,760,713,036,217,807,692,314,
806,859,102,656,976,204,704,730,005,934,513,988,190,409,273,288,404,310,256,
687,731,429,336,876,979,689,434,916,523,710,194,414,629,956,637,210,855,152,
395,987,459,384,900,902,424,836,642,461,021,227,116,387,947,711,564,097,954,
800,555,255,386,058,659,921,864,855,091,486,889,696,711,739,735,063,181,921,
392,888,688,331,040,490,163,011,767,660,355,781,200,255,311,903,814,528,624,
626,360,816,251,042,644,803,213,023,632,634,692,828,087,982,801,855,471,464,
351,132,234,302,611,477,976,241,202,865,880,298,966,800,078,642,814,362,421,
274,495,825,494,103,986,512,436,415,863,951,546,101,151,818,766,551,682,142,
899,283,308,193,260,109,943,276,265,285,639,698,127,518,624,188,751,095,203,
409,837,168,649,810,606,351,024,973,048,618,073,358,160,539,133,431,946,517,
027,986,403,112,497,018,505,414,759,999,107,617,421,534,919,793,317,430,746,
797,818,845,718,977,441,364,099,304,935,906,094,835,458,774,869,559,729,838,
771,047,778,346,147,375,540,608,919,981,600,496,467,988,587,136,355,340,644,
664,301,555,547,252,852,729,748,974,114,144,228,392,097,130,762,398,276,360,
878,714,902,381,456,129,462,323,352,062,663,110,239,709,830,625,029,204,155,
224,610,685,797,275,163,026,123,624,577,794,330,604,349,888,410,562,392,235,
142,981,912,569,622,038,648,495,178,272,525,663,005,445,317,451,429,103,135,
488,651,504,134,931,324,321,919,171,529,138,787,898,326,013,369,124,188,133,
388,763,246,616,910,894,474,960,270,108,876,935,340,736,309,256,251,740,041,
212,252,931,837,015,456,737,428,406,228,531,925,790,063,143,680,129,277,467,
891,824,493,019,911,168,331,892,508,435,660,337,890,114,741,265,526,685,661,
641,246,986,570,253,275,927,796,057,417,034,230,809,904,874,211,587,576,766,
277,652,874,131,483,402,657,356,804,358,694,918,350,044,785,764,841,894,097,
055,971,796,474,230,396,676,944,535,612,214,056,129,032,576,454,767,984,621,
200,218,468,108,207,298,260,294,389,746,974,026,651,540,021,012,285,913,317,
148,336,744,895,759,546,613,499,880,987,015,821,501,492,367,166,365,872,028,
129,266,417,052,399,126,778,485,509,963,170,391,270,992,703,638,899,318,182,
590,208,767,087,698,497,361,733,596,373,222,320,334,701,669,902,397,062,284,
105,618,432,796,750,808,789,273,578,885,054,058,658,437,941,438,875,797,110,
849,965,140,191,805,480,500,232,329,999,649,537,505,665,199,240,220,259,632,
920,580,953,050,417,702,053,325,061,969,559,894,005,647,783,490,730,942,388,
483,314,282,221,364,450,768,334,455,024,900,774,390,064,968,452,757,631,458,
819,049,187,452,296,074,152,898,770,560,526,639,066,652,706,595,331,275,390,
946,978,455,424,293,544,993,330,889,489,050,770,776,001,968,823,800,430,522,
047,467,892,725,220,059,454,819,367,149,107,006,299,826,100,859,436,960,592,
029,576,005,649,438,138,300,352,228,462,397,905,213,762,125,692,417,627,869,
812,557,431,516,842,750,586,585,524,492,602,167,788,391,017,306,472,630,168,
165,066,580,790,941,865,078,089,121,312,954,646,765,136,406,504,316,261,192,
685,123,646,745,809,590,634,814,353,748,499,300,320,318,069,545,189,705,479,
528,477,713,888,407,570,904,823,658,265,936,563,509,707,557,292,192,557,057,
214,692,139,155,311,827,132,818,729,869,222,537,399,962,846,896,953,363,195,
227,707,212,899,709,418,578,329,211,548,252,680,444,679,016,138,155,475,791,
944,712,932,248,603,131,385,642,133,756,753,507,632,799,108,123,853,737,626,
933,518,958,667,499,985,817,145,271,308,424,144,936,642,535,172,048,519,538,
533,928,614,439,979,942,725,406,699,152,492,215,723,741,939,615,354,492,991,
800,263,861,915,371,799,274,479,698,635,418,155,120,032,433,697,420,121,469,
629,464,851,379,006,207,363,581,220,698,948,906,116,583,584,003,214,078,828,
852,471,733,638,547,381,919,981,813,491,154,906,868,777,209,397,615,677,515,
323,486,209,309,435,150,428,603,211,097,808,629,442,599,761,926,155,910,779,
233,910,980,429,308,077,954,047,760,101,181,077,678,306,594,275,481,218,101,
230,609,232,816,100,671,885,067,753,645,159,873,508,173,191,518,248,988,981,
921,026,978,347,704,238,795,221,153,478,508,175,978,459,682,911,977,831,526,
803,358,005,744,232,756,197,988,431,589,276,346,299,566,629,432,075,023,096,
442,889,954,248,275,558,650,608,722,895,592,877,436,310,723,034,344,436,512,
811,265,517,648,656,312,145,191,694,126,736,271,818,269,312,931,222,816,616,
162,164,992,254,490,038,686,858,829,824,413,755,808,036,517,418,373,124,070,
340,176,707,824,648,610,844,361,658,968,459,982,772,849,685,441,097,668,306,
901,525,034,279,324,516,502,990,128,636,550,337,207,994,020,194,015,586,065,
496,463,153,699,554,150,759,394,853,905,211,948,314,608,470,833,345,272,920,
731,782,770,077,002,630,182,121,079,244,470,548,112,187,286,009,577,988,416,
226,419,154,383,921,240,967,126,627,884,496,445,567,068,778,270,665,223,554,
376,801,073,465,938,073,542,480,106,327,108,409,037,184,579,719,266,107,129,
262,199,986,436,808,177,694,707,819,074,854,790,468,726,514,897,674,344,344,
872,171,027,164,156,437,000,030,146,940,919,200,564,433,917,797,347,408,786,
328,456,991,283,626,178,387,511,843,314,564,302,097,459,576,094,229,161,507,
191,033,879,285,879,347,888,414,374,703,921,622,109,805,358,115,311,097,120,
617,249,453,992,499,004,379,471,833,928,970,908,740,194,298,151,367,763,234,
776,361,860,155,662,435,176,612,093,197,643,931,430,498,859,072,863,216,149,
279,227,930,513,572,700,280,752,125,835,070,577,385,725,828,759,923,821,428,
792,609,131,582,298,868,770,802,994,580,173,727,427,116,903,935,111,348,630,
649,336,227,012,811,222,410,363,496,676,973,441,102,862,762,450,547,406,978,
261,808,388,527,719,338,844,538,929,859,332,536,326,243,303,565,807,744,015,
982,994,622,093,395,087,173,929,810,641,353,217,492,769,132,466,028,270,692,
310,785,906,969,461,829,260,591,065,821,177,070,815,873,774,305,247,902,453,
203,496,451,083,060,691,741,580,562,702,101,209,636,158,030,797,014,679,055,
259,788,661,637,757,821,023,024,416,994,609,212,598,587,323,372,091,776,099,
912,428,766,719,486,327,486,511,091,903,904,919,318,109,487,585,395,982,697,
141,287,859,295,948,568,986,882,448,057,430,887,412,548,442,853,385,245,718,
188,878,750,924,674,917,145,205,537,986,384,320,232,679,452,898,647,162,715,
161,902,138,335,434,072,272,254,105,587,836,735,442,265,281,918,444,434,578,
862,459,035,847,985,950,464,206,677,934,654,248,009,644,614,704,503,463,334,
380,800,631,309,519,428,185,953,272,214,014,878,040,485,216,885,694,738,785,
432,295,446,635,486,040,011,160,017,033,111,022,630,085,899,614,794,385,741,
547,310,534,536,412,239,299,602,058,334,260,872,755,758,110,338,519,032,705,
984,424,172,957,993,632,016,712,640,013,634,505,503,449,917,394,899,970,874,
734,997,992,635,157,571,261,365,895,975,543,235,524,831,652,193,870,999,399,
094,611,303,071,752,755,554,315,048,975,829,047,907,812,585,697,473,145,872,
741,572,242,233,923,451,121,569,276,491,142,982,213,387,660,315,098,918,523,
152,850,392,649,173,698,210,142,030,171,990,743,209,345,113,904,982,168,963,
837,999,806,501,556,904,036,814,524,363,872,049,282,708,984,154,917,212,259,
659,582,523,729,789,498,682,503,861,644,334,469,010,708,982,655,010,092,465,
768,208,808,819,209,105,504,059,774,963,198,579,850,061,429,597,167,287,429,
857,768,864,507,743,455,641,615,151,345,888,241,108,760,336,183,338,445,768,
753,773,456,992,814,382,086,572,183,554,158,478,010,104,552,770,712,077,538,
083,597,472,328,705,820,722,513,365,491,582,168,185,508,900,981,793,264,715,
909,101,701,604,188,980,898,262,025,992,917,504,345,470,004,401,240,408,667,
335,153,811,007,571,858,250,164,016,325,452,045,460,674,263,800,227,146,785,
664,811,319,367,205,177,135,151,976,105,394,606,451,309,661,034,782,318,988,
192,476,093,165,806,383,165,514,375,233,421,714,067,817,837,856,762,699,238,
994,807,139,781,840,556,163,566,838,415,165,912,494,672,084,401,425,747,359,
507,336,045,350,419,237,696,704,476,307,004,136,243,072,870,253,849,104,867,
981,133,412,033,266,408,888,917,272,411,902,070,893,556,657,130,787,185,351,
150,704,473,066,717,598,012,706,824,817,141,431,320,256,244,708,074,028,225,
198,187,621,051,689,681,993,984,082,637,881,049,022,136,824,595,504,577,353,
681,217,242,750,989,970,287,414,104,343,941,572,113,823,226,737,392,729,770,
555,969,631,910,589,078,904,366,834,002,406,992,358,227,685,038,083,605,351,
190,734,839,665,585,309,466,654,958,549,780,962,344,070,737,709,739,967,158,
661,424,782,281,250,166,149,727,276,393,963,034,841,627,257,674,033,919,823,
891,557,167,893,994,068,743,963,250,395,160,467,834,555,007,386,346,364,080,
236,875,265,510,715,337,048,141,035,462,345,733,632,230,718,034,514,578,557,
220,090,598,469,216,016,589,253,794,123,739,843,540,053,817,263,107,510,959,
307,854,582,350,908,733,739,216,827,234,679,938,709,299,747,106,546,711,505,
066,990,582,634,079,271,071,746,435,026,309,986,781,093,626,194,154,086,410,
814,881,536,766,169,834,419,049,799,065,695,855,716,440,258,021,419,629,323,
146,579,556,800,219,970,942,265,426,011,901,802,292,878,772,920,438,156,650,
368,667,852,694,812,798,139,070,425,614,475,516,103,366,282,201,532,736,052,
031,125,711,128,755,454,209,298,518,609,674,253,953,652,512,241,156,140,827,
323,135,822,128,857,160,047,232,109,645,690,441,048,250,623,373,183,553,104,
528,009,302,796,062,152,468,593,840,074,576,183,742,745,276,388,751,579,168,
632,877,195,768,511,169,337,807,233,551,399,277,414,432,264,460,009,753,691,
354,115,823,110,126,165,461,818,896,320,583,023,496,347,259,969,461,023,430,
378,147,023,921,079,607,871,900,987,019,160,552,930,456,588,490,501,431,084,
515,816,578,079,338,694,088,602,627,525,897,486,951,757,897,174,329,287,099,
737,904,984,426,596,307,131,064,690,155,922,143,825,707,262,095,530,319,133,
096,842,267,108,842,845,366,743,221,942,401,750,964,985,952,402,692,064,474,
232,366,895,188,416,817,441,948,989,406,888,777,206,519,633,247,636,452,832,
503,328,479,700,718,043,566,868,224,492,874,149,854,708,965,047,470,459,066,
008,315,546,559,895,126,664,572,380,238,910,839,396,013,657,768,958,238,100,
542,004,801,049,419,176,919,659,090,198,520,398,050,990,510,759,379,150,858,
993,091,626,472,745,804,272,892,096,235,894,415,983,126,809,814,533,569,198,
487,267,591,111,058,436,702,317,946,495,368,996,403,253,616,719,543,276,615,
257,602,346,898,765,114,938,921,139,075,634,015,192,352,025,300,586,297,899,
291,294,589,373,668,367,995,246,146,917,798,388,794,727,169,000,730,660,413,
556,074,933,009,146,847,530,567,352,897,354,896,825,609,022,862,327,615,032,
818,896,362,299,199,895,996,565,021,298,139,408,244,244,034,370,523,694,302,
236,118,933,021,854,408,036,630,623,254,827,642,350,406,191,962,013,444,228,
993,795,504,250,473,743,756,741,406,784,223,458,452,087,726,666,690,257,455,
762,074,353,147,709,879,848,648,037,938,837,803,166,973,667,877,644,431,122,
651,782,041,982,016,887,530,341,147,836,629,149,358,814,054,259,523,499,213,
366,462,339,688,673,932,401,219,812,741,043,680,591,393,470,462,727,516,669,
209,541,333,853,863,677,591,068,145,310,196,344,568,118,047,574,875,846,115,
594,126,459,457,676,957,526,073,537,088,464,516,429,102,176,518,532,977,909,
617,182,353,011,514,557,298,211,084,436,389,659,839,347,995,361,679,512,354,
624,311,361,393,810,269,592,385,384,045,964,598,995,619,332,053,020,732,006,
251,987,878,818,986,038,210,991,381,474,214,750,174,545,809,093,238,197,090,
980,930,620,985,867,970,118,512,861,358,132,029,975,890,694,323,934,920,179,
245,422,352,703,847,436,697,159,519,023,949,798,790,599,610,256,604,348,881,
854,954,135,854,220,172,965,619,162,929,619,614,202,868,667,802,625,727,579,
044,105,553,971,032,257,650,229,043,347,213,151,352,276,171,242,579,508,097,
882,872,632,006,163,866,718,113,131,150,110,289,076,417,500,326,322,666,067,
659,129,999,272,836,849,263,108,965,526,665,847,006,857,082,967,941,716,357,
440,158,679,398,036,858,168,235,063,715,018,725,016,338,179,352,541,929,320,
028,062,550,223,010,283,030,481,608,580,566,022,637,704,650,968,041,384,432,
839,424,383,526,538,160,379,513,304,350,792,401,416,579,877,150,074,303,074,
013,091,343,018,763,284,306,721,796,844,411,945,320,005,194,018,631,485,807,
641,544,467,499,811,968,801,365,691,167,038,497,953,231,959,249,472,850,333,
092,825,031,301,790,250,518,680,002,441,893,333,795,581,927,359,870,510,214,
536,963,958,093,953,724,428,125,841,266,394,025,286,514,679,498,153,050,131,
204,771,701,597,421,857,924,534,483,147,830,599,675,564,851,498,769,822,069,
751,035,163,064,521,015,286,095,961,364,829,438,023,045,236,992,907,388,097,
299,568,331,001,639,704,264,345,175,068,815,485,738,878,686,835,985,355,731,
189,178,547,664,326,298,586,917,677,537,583,397,895,393,004,254,280,521,165,
024,610,300,876,886,754,402,228,132,619,462,132,822,440,145,694,863,420,502,
768,979,137,590,814,652,374,594,465,930,368,835,732,399,196,893,948,045,902,
243,174,123,852,173,843,246,479,965,591,684,561,784,278,906,233,938,111,092,
741,839,594,821,946,105,426,049,075,494,811,200,750,746,330,223,233,077,859,
405,829,136,688,400,877,181,405,539,069,456,927,567,445,307,523,439,119,475,
741,883,955,246,614,529,877,365,026,355,551,048,627,644,407,759,439,453,506,
408,293,459,327,419,436,444,495,307,883,399,567,804,502,550,253,120,806,544,
145,907,452,809,925,698,534,693,990,046,997,601,872,042,763,457,874,209,929,
801,869,459,308,933,571,576,083,478,401,516,360,091,798,150,510,638,901,215,
483,382,908,412,727,400,618,828,757,649,345,144,536,299,680,597,928,253,776,
392,133,656,679,411,944,285,533,392,330,190,860,906,739,087,475,943,939,487,
134,036,265,499,747,557,678,591,857,865,412,250,096,119,854,518,181,900,218,
540,725,816,144,441,587,225,985,873,264,250,669,274,143,494,449,036,322,351,
063,698,985,994,658,940,803,024,588,273,704,166,496,159,356,366,868,697,986,
217,900,905,436,979,638,895,686,318,660,004,499,751,441,662,109,497,843,191,
751,773,593,606,781,257,590,429,321,152,682,974,329,746,077,271,176,964,079,
352,655,031,992,697,521,484,260,540,661,914,849,255,823,752,286,650,449,189,
083,066,535,263,330,479,435,951,994,048,585,226,920,238,010,314,331,681,076,
594,836,135,870,763,107,354,029,994,079,598,441,245,463,439,972,794,814,692,
320,466,200,680,816,711,166,327,783,115,865,252,717,578,876,831,536,798,325,
267,211,906,975,241,298,083,237,852,593,252,223,805,426,925,416,525,321,811,
436,460,301,459,836,897,691,890,834,802,726,689,598,150,650,916,665,053,042,
121,692,216,888,523,920,544,364,814,749,237,365,805,629,428,276,322,174,976,
818,680,152,678,741,865,602,035,348,106,509,010,766,504,416,021,831,013,933,
738,043,636,681,033,520,230,456,281,940,495,907,368,978,311,959,629,703,688,
486,487,464,849,045,046,965,693,414,179,577,398,902,105,061,970,572,238,287,
852,712,259,194,142,500,706,038,201,808,718,283,226,019,081,257,396,955,623,
850,351,877,444,089,131,109,488,788,499,201,834,214,365,774,957,493,321,471,
448,394,896,630,121,574,362,446,603,125,517,143,128,257,477,496,993,852,967,
415,854,016,347,480,050,981,685,808,085,495,305,914,830,657,798,005,504,392,
575,804,293,687,679,164,462,626,852,015,871,454,047,204,752,923,785,289,713,
285,764,042,275,636,336,056,055,432,825,954,146,484,196,264,681,305,734,542,
891,705,654,048,821,617,776,737,635,610,882,652,898,076,350,630,913,060,470,
233,759,645,561,083,896,846,881,024,334,310,039,709,660,243,561,609,025,710,
513,911,506,875,496,293,547,240,919,451,431,073,253,988,612,885,915,428,671,
249,011,527,704,539,965,458,054,822,939,299,770,628,468,857,246,956,875,479,
706,146,566,110,082,779,413,300,978,192,196,811,939,080,811,049,880,594,907,
381,484,862,815,811,064,204,859,501,469,717,395,920,486,029,794,880,461,803,
388,690,998,581,439,934,971,049,176,004,642,064,720,607,407,904,863,941,095,
897,182,511,836,117,980,858,893,506,727,865,432,305,368,248,447,276,320,900,
533,506,427,905,388,681,535,048,669,473,609,653,266,513,202,274,756,005,573,
032,106,309,449,409,837,414,287,131,650,564,675,455,117,907,256,270,245,271,
276,548,299,480,201,384,693,946,959,474,709,831,129,079,303,496,703,793,327,
303,505,142,619,789,453,604,674,711,499,479,178,338,881,841,548,591,725,842,
675,046,792,391,511,630,754,395,346,120,891,534,559,486,298,176,617,136,819,
986,006,484,340,047,558,693,778,024,349,927,391,741,749,516,814,246,682,234,
619,898,347,056,293,877,773,432,609,041,954,754,343,282,334,615,606,454,685,
827,577,903,125,190,183,353,642,644,202,131,503,263,776,761,702,457,867,494,
175,617,370,161,464,205,351,231,529,260,191,579,637,357,082,130,211,249,996,
165,674,835,910,886,203,738,746,247,854,749,148,363,596,582,601,770,523,516,
486,995,428,520,800,521,692,781,792,666,583,510,466,375,804,350,629,339,151,
713,662,808,663,347,666,105,651,007,460,597,371,764,756,771,183,356,086,648,
130,486,282,656,038,558,022,370,668,038,876,761,292,174,504,231,860,334,732,
811,207,704,969,175,569,708,622,305,189,929,246,388,115,064,922,152,603,054,
599,289,350,719,710,869,862,817,911,936,713,181,715,125,414,530,194,968,181,
986,939,399,394,437,541,527,635,678,939,929,048,958,571,110,811,005,917,214,
599,982,634,347,450,878,569,732,999,020,589,793,218,872,144,841,257,929,874,
624,587,015,285,556,644,174,619,041,791,727,246,641,216,530,870,196,322,960,
087,432,179,860,699,828,012,277,823,043,282,137,510,557,461,211,728,353,843,
073,330,951,881,430,968,382,268,467,622,799,558,786,527,348,085,828,734,191,
727,680,150,799,891,835,724,861,587,627,887,899,544,776,323,448,885,700,303,
314,391,166,662,254,556,786,766,564,738,446,853,219,811,631,494,766,605,390,
642,849,064,639,042,865,877,696,938,102,623,096,295,283,631,314,924,162,156,
658,630,295,675,785,076,832,744,269,059,349,997,944,343,591,660,031,177,016,
871,508,090,257,580,863,769,373,196,775,410,424,132,274,727,012,056,774,594,
365,560,323,216,430,108,052,210,500,821,482,418,025,125,610,854,605,430,893,
057,061,971,929,737,603,468,354,285,312,138,654,176,649,760,576,974,666,853,
575,737,207,543,379,511,298,627,305,982,785,116,791,911,523,326,447,222,173,
880,717,041,320,745,435,035,746,394,042,280,559,160,827,475,217,919,535,673,
489,145,907,435,325,676,106,367,850,690,824,734,025,656,570,445,807,334,688,
177,347,095,485,646,427,766,031,099,374,052,489,035,830,380,151,935,548,429,
815,146,757,938,874,079,662,976,892,624,915,889,197,772,153,178,736,137,558,
334,874,442,734,900,544,804,730,799,612,547,944,582,699,286,247,470,076,386,
967,842,442,792,440,639,109,371,639,312,894,743,545,959,263,330,008,844,869,
779,812,704,838,214,638,162,091,183,860,046,400,057,840,444,848,814,360,638,
271,370,716,002,116,174,370,482,505,510,709,349,854,778,293,765,319,313,586,
030,324,419,854,864,561,947,660,269,762,402,094,191,204,025,009,771,403,027,
922,855,306,218,491,866,673,787,704,628,881,368,934,126,497,175,991,788,950,
477,945,792,434,427,822,433,434,932,572,891,072,728,900,245,787,558,614,684,
618,869,139,839,689,611,684,884,509,277,398,994,590,366,760,636,567,137,845,
373,572,487,728,976,904,358,342,785,287,616,462,806,774,504,397,659,643,012,
672,562,348,374,754,501,688,285,177,827,519,462,692,542,654,768,571,324,390,
396,753,333,969,995,016,485,226,827,843,922,743,726,286,138,092,047,459,129,
493,441,836,900,123,587,750,019,506,022,505,925,452,138,878,487,588,276,442,
025,710,730,202,506,333,174,644,955,385,645,228,297,134,652,754,119,748,781,
715,247,414,400,110,032,507,961,621,270,824,297,491,644,851,287,181,113,808,
273,798,175,856,969,497,597,174,877,302,557,031,775,417,653,973,265,241,582,
350,799,209,711,501,323,650,192,316,201,810,565,290,100,351,934,536,329,792,
196,540,056,724,345,250,069,045,450,906,366,155,034,765,462,275,424,452,948,
997,749,306,582,838,411,780,552,609,597,715,591,968,001,717,314,358,963,457,
836,966,955,399,226,746,694,951,968,309,725,383,976,896,992,671,529,576,549,
987,549,568,978,088,014,366,483,616,555,226,456,932,689,059,370,226,690,022,
151,044,825,134,502,603,466,748,536,111,545,480,484,412,961,655,801,292,922,
512,234,352,017,148,251,226,221,075,989,415,330,168,386,839,031,822,997,318,
004,972,645,672,953,318,892,346,913,061,690,441,879,776,197,436,541,695,406,
111,201,298,944,036,851,777,815,233,914,601,263,365,509,086,827,000,793,243,
111,740,310,327,665,197,965,088,812,871,051,894,306,084,984,482,208,853,332,
960,731,263,371,938,560,290,273,746,896,973,447,636,525,462,664,322,371,009,
087,639,792,954,209,464,211,513,940,861,231,275,609,379,883,397,705,836,319,
514,358,420,453,237,241,628,072,399,462,876,066,170,865,833,646,780,938,259,
814,602,067,842,176,275,332,972,181,110,880,202,469,339,930,404,391,286,648,
028,021,796,586,019,510,393,921,506,729,584,260,292,156,310,799,342,535,503,
695,615,966,477,724,092,328,598,280,437,988,546,766,784,646,074,726,958,402,
414,322,293,271,355,043,527,009,391,943,407,792,069,831,492,614,335,959,157,
093,671,829,625,848,196,406,565,128,724,399,259,504,344,493,577,476,781,518,
724,925,301,112,569,550,727,197,261,765,258,719,561,760,182,448,117,662,928,
567,382,259,424,637,371,509,262,268,908,302,911,272,636,445,958,472,413,786,
518,471,923,605,158,962,606,611,151,688,888,565,154,605,393,594,930,279,955,
814,693,953,677,062,291,899,376,005,789,473,721,015,244,342,218,981,352,478,
142,944,414,443,946,370,767,254,562,305,771,642,648,020,631,495,332,467,784,
134,601,916,395,700,276,702,761,590,268,746,460,149,093,921,476,439,919,634,
136,127,973,037,921,829,863,081,613,168,234,237,787,992,138,373,645,417,371,
022,147,360,538,368,239,870,533,218,040,507,993,629,574,561,381,939,674,854,
843,590,286,606,095,684,173,409,105,776,057,110,729,113,501,283,889,425,228,
013,551,168,617,010,172,516,323,033,699,980,128,557,863,506,037,100,679,752,
126,281,968,873,760,792,163,888,827,707,280,129,145,989,476,993,924,157,893,
576,272,379,803,019,324,480,689,883,060,006,713,099,841,970,382,808,284,305,
280,470,235,193,437,997,527,616,152,931,900,410,226,262,022,959,054,951,856,
224,982,626,459,407,794,695,816,382,612,492,123,557,217,973,715,626,317,460,
359,954,315,802,292,654,871,808,721,148,001,400,639,174,606,228,791,619,901,
371,651,400,345,831,431,602,927,291,328,083,559,938,857,923,135,051,807,744,
981,370,866,559,663,047,347,623,952,495,320,238,884,238,039,181,135,727,190,
067,118,623,494,117,331,364,858,031,584,009,590,672,007,028,021,006,752,440,
357,746,177,211,639,964,142,301,631,010,062,776,818,993,735,374,595,530,691,
544,427,974,476,363,608,190,799,614,338,784,784,388,853,778,707,671,276,003,
693,087,620,900,723,494,887,287,102,692,076,615,481,522,389,511,428,912,746,
851,345,487,389,811,487,946,317,568,596,840,025,101,374,529,351,374,741,794,
449,131,614,215,064,019,970,159,463,603,487,780,371,677,560,181,598,959,163,
572,980,546,432,388,792,882,011,281,408,557,650,395,434,036,080,444,180,615,
352,272,389,514,758,283,785,541,727,036,890,152,734,285,321,938,974,584,787,
922,381,321,269,412,530,549,167,048,697,437,885,264,346,042,346,145,562,297,
282,663,007,765,981,334,313,076,278,760,713,752,109,806,469,943,670,164,404,
252,213,333,971,297,306,886,114,612,439,834,299,713,095,408,297,578,580,296,
711,427,020,663,890,792,210,489,435,795,088,622,919,532,980,452,517,687,096,
095,479,573,359,824,388,411,642,857,788,462,446,708,813,235,567,138,631,791,
527,164,011,604,638,320,724,296,026,852,379,209,009,796,033,871,396,069,626,
875,584,919,220,335,481,427,286,081,470,393,905,815,839,691,795,945,231,789,
105,182,262,482,621,649,735,363,671,154,959,510,740,643,092,170,451,364,083,
618,967,614,539,859,489,123,489,732,624,856,130,480,839,148,417,220,542,399,
447,733,671,102,130,389,096,675,037,035,363,619,395,002,345,931,473,528,264,
108,004,104,582,518,967,981,727,436,593,745,140,806,704,430,581,708,011,483,
543,055,002,909,404,196,471,796,130,267,981,879,692,537,678,133,948,531,876,
450,796,076,991,618,835,311,638,243,452,692,654,034,004,359,546,425,293,128,
862,728,983,245,937,539,560,469,087,174,023,184,086,214,599,315,132,819,797,
852,947,076,990,509,293,831,128,580,939,258,618,948,563,278,250,671,170,364,
736,917,873,847,010,391,365,969,337,712,833,058,579,105,365,036,372,666,760,
640,493,847,770,421,495,538,320,622,878,730,230,260,165,571,080,884,752,932,
931,961,485,114,507,775,775,448,431,071,930,081,155,123,797,371,168,336,644,
139,872,468,778,532,051,013,955,675,688,656,835,696,115,865,494,000,528,381,
694,310,740,526,765,950,552,266,087,558,497,166,696,367,512,678,874,225,676,
156,234,045,240,521,341,391,165,187,267,082,710,000,928,115,190,518,482,819,
031,451,096,429,750,977,581,384,205,474,576,264,669,042,655,297,163,633,565,
049,496,659,259,317,534,603,035,838,321,517,819,441,270,571,638,764,207,068,
595,439,352,499,993,073,391,354,290,895,535,475,437,859,487,265,724,975,497,
672,211,072,667,562,951,453,726,443,500,717,586,923,293,157,205,465,142,736,
817,774,382,556,382,332,721,692,829,720,667,277,129,465,465,820,874,554,881,
726,028,056,350,882,189,675,425,757,965,310,197,921,916,635,562,843,130,500,
666,597,768,235,249,708,003,116,256,556,999,202,823,876,870,277,618,558,992,
957,512,860,579,595,833,616,568,016,107,978,121,894,661,017,303,827,104,352,
893,555,378,264,499,629,983,949,248,778,857,893,418,409,304,188,057,911,759,
177,844,715,264,304,813,979,552,894,259,281,380,357,668,170,959,566,808,309,
395,816,643,247,209,784,709,966,331,738,762,016,723,101,573,332,442,842,236,
150,011,654,809,485,356,751,920,287,129,167,402,298,617,753,190,891,966,672,
116,998,095,536,742,368,465,183,014,525,506,541,302,024,636,627,068,683,145,
446,294,745,138,429,294,393,360,506,143,297,641,637,496,435,249,417,952,300,
478,325,001,228,535,494,293,102,474,476,072,591,254,047,245,570,439,315,528,
603,537,618,895,985,816,671,393,856,358,730,185,765,002,582,925,069,007,544,
831,843,579,087,624,424,612,930,562,721,180,090,370,198,438,845,602,629,000,
377,177,176,773,985,675,599,937,840,173,275,442,253,013,777,102,092,853,758,
028,856,162,281,905,378,179,319,113,520,570,433,382,209,415,133,815,883,565,
624,689,946,268,513,324,930,169,317,858,089,821,059,761,248,451,143,165,306,
960,716,071,608,372,438,943,466,195,127,292,432,473,109,971,396,190,718,050,
106,437,403,902,000,827,196,140,813,240,506,584,442,930,140,498,317,005,908,
419,474,699,989,149,508,865,778,065,264,543,953,036,335,222,702,522,642,863,
548,901,827,664,090,796,678,668,762,446,641,385,728,611,872,947,498,216,978,
050,034,033,378,597,269,767,896,216,138,103,239,298,106,384,135,091,541,737,
488,152,259,830,982,814,842,363,215,199,222,413,682,142,856,631,961,414,571,
675,183,234,597,026,922,230,249,474,009,383,830,481,922,604,289,251,705,054,
825,445,699,598,250,562,752,884,901,662,313,113,496,485,812,776,511,169,429,
075,923,939,710,924,264,118,785,021,839,327,885,826,752,064,043,758,707,277,
583,828,288,345,386,767,624,697,459,970,256,103,767,855,059,607,947,177,232,
106,904,093,066,515,989,805,820,315,820,601,157,751,862,863,760,486,603,635,
970,631,184,537,047,977,357,971,045,324,197,276,060,274,501,727,634,525,859,
899,594,483,154,536,674,789,642,948,943,220,974,888,871,737,373,638,092,688,
417,783,661,116,447,547,539,360,829,391,098,453,710,798,202,761,438,978,826,
281,412,905,114,386,774,957,719,545,512,728,179,788,049,151,924,100,612,963,
731,169,071,350,334,587,405,679,098,162,215,471,896,221,765,507,568,449,633,
003,774,542,028,574,192,639,684,632,251,325,651,046,395,780,881,408,531,244,
234,435,658,251,697,048,315,078,981,022,941,897,128,811,095,187,499,348,359,
749,335,359,959,628,917,912,137,964,351,455,522,721,001,846,281,958,019,973,
120,251,723,144,336,895,334,208,237,357,336,697,366,657,188,852,327,278,056,
682,868,041,193,197,036,383,476,838,699,364,526,196,843,148,706,451,337,213,
603,230,096,650,509,170,117,481,798,305,622,093,297,944,013,321,742,020,886,
291,346,134,050,606,545,437,514,302,317,932,629,375,764,422,591,822,373,380,
338,370,561,789,746,526,136,043,426,934,522,566,677,537,346,213,056,181,863,
480,460,377,427,803,665,060,865,780,130,772,319,801,813,424,303,871,806,569,
213,951,482,738,785,160,110,428,495,437,937,549,176,111,285,263,241,726,870,
290,249,421,633,430,490,757,011,461,026,063,224,256,657,186,327,226,105,578,
795,192,310,233,528,107,000,569,976,542,705,031,707,653,075,346,411,769,582,
607,504,804,902,173,676,361,481,251,188,237,028,728,554,036,275,593,110,115,
971,441,718,222,637,541,287,629,705,753,604,053,412,346,080,475,686,810,974,
900,149,513,896,632,388,586,762,964,622,321,535,818,596,840,950,881,847,788,
387,299,692,408,501,632,691,698,623,198,930,416,893,843,511,774,780,922,998,
565,556,011,720,788,236,607,188,397,608,092,832,814,084,784,563,988,843,785,
728,481,977,889,296,891,183,755,315,400,062,134,103,123,758,137,783,328,043,
453,805,690,825,920,687,638,731,956,336,239,154,475,923,452,037,027,539,654,
180,247,141,134,826,629,378,123,501,103,583,013,976,817,353,348,782,982,684,
652,908,373,318,226,336,058,875,615,656,668,008,566,347,243,991,353,711,947,
738,021,827,487,201,875,092,343,551,916,897,946,120,988,627,627,370,538,257,
145,568,296,532,829,659,714,927,796,919,734,200,429,215,618,946,039,773,319,
604,604,622,392,380,783,624,269,826,789,087,924,459,860,764,613,011,065,639,
959,327,883,222,198,113,787,228,101,846,171,900,878,739,982,802,696,458,360,
160,290,386,766,949,153,378,623,182,031,199,945,041,136,804,152,173,487,704,
158,671,859,880,038,610,884,862,363,714,248,151,154,065,462,666,941,520,784,
314,924,608,428,921,646,518,406,060,693,221,888,928,378,495,716,428,167,204,
314,376,357,083,750,459,460,154,996,991,083,508,859,465,422,352,011,149,735,
183,822,139,106,652,798,563,986,145,928,352,304,578,595,914,059,403,704,158,
084,028,314,184,718,595,495,445,751,885,910,851,532,084,103,242,487,727,245,
785,428,644,130,280,434,476,064,115,204,697,003,412,178,569,405,250,038,370,
522,624,041,014,729,041,739,670,683,240,205,316,540,620,949,385,215,681,988,
749,353,838,109,037,293,789,578,216,488,068,035,375,943,631,910,660,668,400,
645,777,563,856,004,615,836,173,320,474,149,365,197,293,194,763,518,595,508,
574,660,080,826,749,874,382,231,020,068,386,670,944,841,700,606,030,897,107,
027,085,594,998,096,605,233,688,592,396,985,433,204,641,123,352,845,829,170,
998,361,201,108,536,616,798,273,922,746,457,791,202,045,228,666,514,034,316,
103,361,052,719,345,941,296,308,940,573,804,144,626,970,879,653,826,875,088,
514,385,895,942,465,992,147,043,873,976,758,793,659,531,272,484,002,787,314,
659,527,291,449,191,490,724,540,606,323,613,854,748,354,491,538,615,518,700,
426,095,563,445,313,251,846,158,784,911,789,686,597,893,730,763,202,216,836,
609,119,194,551,201,955,163,111,046,266,344,583,065,904,798,585,377,748,587,
079,079,658,886,645,111,222,326,404,797,814,796,085,174,199,628,326,762,455,
254,631,542,223,683,844,888,786,775,705,340,668,855,912,861,650,998,539,235,
033,685,383,265,506,338,768,037,489,409,720,104,980,735,989,574,042,669,514,
919,855,271,546,724,591,998,506,102,913,893,621,083,429,102,354,288,245,887,
526,587,910,378,583,376,087,326,924,026,064,770,792,282,004,945,403,914,424,
853,214,432,010,021,935,498,303,423,892,199,297,085,776,039,179,436,173,069,
143,169,627,099,823,784,131,256,084,039,237,951,802,018,347,650,626,825,980,
413,244,979,123,203,638,191,672,908,621,848,754,903,089,929,728,820,290,321,
315,278,728,800,440,936,788,991,900,893,294,445,632,435,272,436,476,929,522,
742,264,099,643,387,440,131,102,609,385,743,543,783,811,418,034,798,152,729,
019,543,216,946,362,859,951,160,740,611,760,482,488,166,638,138,249,901,588,
341,051,309,326,622,642,509,492,486,293,807,288,823,903,935,695,770,984,295,
380,787,521,218,267,119,326,692,004,679,106,021,574,261,333,717,475,181,763,
295,594,944,455,635,285,230,932,655,012,189,859,214,078,538,836,524,053,552,
356,525,409,951,330,520,491,788,544,609,842,757,406,072,998,395,015,880,313,
177,651,769,260,375,489,954,070,112,655,730,375,692,557,858,873,225,312,150,
850,692,926,160,478,512,444,186,401,411,372,480,018,136,116,942,858,585,766,
933,873,914,016,839,725,780,884,798,720,258,257,654,810,445,236,389,041,924,
866,449,286,406,387,653,958,227,294,177,189,338,589,266,385,671,436,455,317,
465,843,780,921,887,195,096,399,257,180,141,709,509,023,532,777,802,291,379,
216,226,399,815,072,248,656,390,058,491,084,644,744,316,905,006,414,475,028,
605,942,756,036,100,812,342,341,336,509,226,656,737,933,928,228,250,646,778,
193,833,630,454,901,887,993,272,491,169,334,232,265,980,717,416,910,086,259,
311,158,558,215,423,400,096,473,267,540,776,914,854,934,175,869,870,058,010,
126,759,648,486,665,077,671,913,068,547,219,765,710,142,827,041,243,532,362,
180,377,711,845,361,903,822,216,234,205,800,833,439,756,905,679,259,357,678,
728,897,275,536,395,410,905,114,555,360,466,174,207,280,201,477,314,520,110,
065,311,657,033,565,723,971,008,487,788,845,127,382,190,647,087,922,168,436,
495,876,338,116,388,362,489,157,126,802,443,032,352,260,565,983,334,440,083,
096,021,659,520,260,256,739,334,844,949,919,629,408,911,046,156,332,773,400,
613,511,409,162,475,456,802,829,012,773,526,441,317,142,537,844,395,795,079,
115,681,905,027,810,401,947,530,841,555,819,251,207,422,571,822,940,393,515,
662,460,754,219,464,230,137,994,111,813,268,112,245,255,232,973,806,374,902,
777,375,499,097,582,426,341,060,061,566,734,172,714,053,856,686,638,675,480,
358,137,220,200,542,870,859,748,195,193,252,750,623,316,070,647,304,659,636,
530,929,607,849,033,260,291,238,119,007,491,389,062,612,771,955,125,349,102,
525,616,602,081,710,334,464,620,897,069,499,986,977,462,614,571,796,815,037,
674,470,612,100,826,239,005,502,525,290,144,724,900,425,872,336,220,991,150,
039,841,613,275,390,757,112,651,248,320,529,311,944,151,431,732,527,757,048,
229,011,852,671,875,501,168,610,038,158,393,014,266,479,948,524,690,081,104,
010,877,730,637,151,899,221,268,598,547,840,393,557,860,443,622,615,041,522,
704,320,352,455,390,246,845,826,750,683,673,537,313,991,356,040,599,189,268,
408,946,531,038,943,750,284,560,409,324,365,823,076,051,667,388,614,696,376,
572,325,077,704,911,261,577,117,490,435,863,480,438,092,182,434,213,007,424,
588,681,911,485,734,041,221,052,386,111,253,457,451,652,418,075,667,657,038,
836,679,997,022,944,858,890,364,899,806,654,790,362,681,555,761,520,031,478,
281,656,720,493,367,643,785,696,208,319,821,335,651,526,239,726,543,873,487,
857,108,201,908,029,260,482,808,713,627,232,024,614,805,027,252,985,655,037,
245,446,507,154,736,160,532,810,324,142,020,467,110,013,965,094,675,116,421,
372,165,278,970,598,731,475,420,073,332,660,522,072,584,726,127,431,251,728,
425,181,892,251,747,499,996,373,010,544,628,692,823,973,236,915,773,344,157,
437,581,591,684,343,950,302,429,216,905,806,655,456,769,744,197,705,033,123,
225,387,551,463,933,878,959,873,472,093,808,753,828,442,388,797,726,969,802,
168,614,202,389,431,397,414,361,854,125,383,001,702,522,599,634,588,881,963,
742,081,243,802,716,718,727,311,146,466,082,329,166,076,520,036,871,643,282,
838,502,351,631,677,468,956,593,819,625,455,102,681,877,716,791,312,716,357,
491,648,410,114,926,368,888,163,299,232,331,593,170,326,557,455,068,728,098,
663,665,118,571,821,636,839,219,717,333,707,392,057,471,482,297,995,683,856,
339,363,508,634,450,808,020,561,120,963,881,064,889,523,938,318,920,501,261,
758,213,283,227,499,746,741,937,679,706,027,786,294,673,009,750,474,130,245,
009,889,845,216,418,199,099,408,218,968,680,142,148,518,761,537,841,737,233,
674,343,574,628,790,937,423,973,902,881,229,499,854,417,319,135,514,380,826,
819,407,218,315,013,778,392,092,689,900,884,612,409,182,636,013,352,586,838,
755,224,926,844,105,133,928,621,639,762,792,584,005,409,546,934,285,723,362,
977,962,646,757,165,753,875,599,605,993,378,589,753,655,552,296,617,384,690,
686,854,643,148,277,411,395,034,437,678,002,163,914,235,303,873,157,050,705,
614,229,448,979,655,762,964,009,036,590,536,011,003,055,440,651,248,060,492,
999,989,164,125,855,461,871,554,134,243,444,289,218,001,134,146,355,600,951,
679,097,286,789,880,823,342,198,862,056,263,003,964,935,496,346,576,687,258,
113,190,656,256,323,745,926,243,969,793,872,715,959,021,965,289,875,367,492,
774,566,832,731,813,250,825,359,011,679,233,164,906,179,893,485,880,168,281,
271,757,817,910,361,650,889,471,852,454,254,494,341,309,040,001,830,745,105,
995,656,677,567,093,571,254,370,426,220,843,549,632,351,313,424,888,355,518,
807,264,502,564,763,486,064,779,828,484,417,939,354,687,755,160,416,833,749,
520,659,849,314,768,536,711,941,629,995,667,209,240,605,249,203,034,089,976,
469,377,927,942,197,264,032,621,556,587,410,728,504,676,250,763,248,141,101,
762,241,532,963,837,528,760,796,108,114,558,572,788,028,651,950,330,483,263,
215,053,952,951,643,094,518,516,623,011,508,856,039,542,676,787,474,138,247,
811,438,530,606,996,346,954,987,977,019,305,597,439,495,933,967,027,606,271,
783,601,020,423,578,331,620,381,131,101,933,074,797,071,823,465,582,395,458,
788,222,634,637,819,554,449,250,096,096,163,235,806,064,869,100,601,833,058,
070,415,457,701,811,569,997,506,552,748,727,681,175,138,256,020,173,545,993,
655,205,013,723,421,203,397,527,728,619,663,394,408,715,811,638,662,942,985,
777,450,077,689,093,851,564,031,713,298,085,350,918,901,022,147,305,010,451,
728,773,885,807,384,838,378,643,072,361,616,628,439,217,367,248,812,146,121,
302,201,220,806,313,346,960,843,990,197,535,434,324,601,519,538,533,996,621,
899,237,269,405,273,164,707,718,759,520,410,122,927,833,770,900,313,557,984,
135,614,121,750,284,792,784,919,400,080,082,183,167,297,256,620,452,932,533,
429,322,981,193,411,492,480,470,582,061,467,340,601,714,663,793,912,335,398,
948,418,288,887,145,295,719,461,059,597,865,753,641,715,356,293,266,232,567,
744,959,150,657,492,942,136,244,994,550,069,155,398,726,934,040,486,986,251,
048,609,409,578,359,083,783,330,291,732,221,028,604,320,869,281,576,411,261,
815,815,424,943,845,870,809,521,400,148,038,653,219,744,908,176,949,916,283,
859,309,616,505,092,117,320,537,089,420,412,350,751,566,110,238,416,167,922,
633,518,769,740,537,788,051,995,028,852,159,025,983,091,267,646,040,149,077,
939,203,253,188,477,148,597,918,406,209,754,871,621,121,614,903,425,248,275,
159,904,638,129,792,162,121,267,984,360,055,470,478,040,074,751,539,286,929,
922,751,743,951,365,922,493,090,740,936,174,973,865,305,833,945,742,269,660,
100,043,925,293,601,086,833,118,675,505,232,656,019,574,354,064,257,489,525,
637,845,893,634,939,513,721,928,150,150,092,472,491,529,764,372,556,945,941,
176,530,304,793,036,688,553,898,368,805,505,560,750,765,304,125,704,071,383,
556,387,610,276,340,693,714,021,839,219,806,141,759,263,443,314,081,015,887,
678,221,108,159,349,673,094,268,422,836,293,848,141,710,146,058,445,974,699,
146,126,964,517,434,115,968,592,079,114,341,032,684,629,396,677,660,760,190,
556,095,417,425,449,061,235,042,203,722,378,290,546,306,104,023,564,059,455,
524,973,505,037,887,487,829,981,076,303,943,101,593,202,788,695,138,055,736,
900,913,752,864,672,958,727,881,766,039,562,589,446,761,385,951,814,349,015,
816,419,944,907,785,308,725,491,119,771,449,933,496,734,797,128,160,787,775,
202,388,342,478,329,637,965,044,756,522,010,044,575,252,261,728,490,450,643,
201,970,407,698,376,145,406,410,551,867,837,973,946,439,583,814,693,048,198,
350,665,282,123,731,914,751,674,129,633,389,369,821,126,051,606,483,126,960,
326,430,714,995,242,197,130,243,681,797,937,720,698,508,515,710,728,278,560,
158,829,157,187,635,920,432,827,211,431,134,443,738,927,173,203,908,532,914,
526,705,132,383,363,760,063,823,680,809,003,628,880,029,881,624,098,019,313,
953,601,936,503,656,402,773,094,637,173,896,023,506,184,346,740,134,674,662,
047,703,564,578,717,097,428,658,130,131,187,358,161,710,384,993,364,829,041,
992,269,764,663,506,108,141,457,747,863,207,944,538,593,702,203,324,368,560,
570,479,167,825,748,253,986,230,655,743,172,242,772,323,463,991,194,904,824,
220,881,590,183,519,500,424,305,272,612,578,983,754,711,912,673,016,677,252,
468,395,350,549,871,490,319,854,447,761,156,442,485,636,148,146,372,115,014,
203,458,244,649,478,806,368,474,168,578,460,127,299,998,354,716,754,633,198,
504,606,236,038,441,638,809,995,290,728,074,616,593,743,908,302,246,403,761,
511,969,722,150,032,838,283,427,758,948,496,928,163,249,726,139,615,629,634,
063,659,116,819,791,885,049,702,529,818,195,331,875,430,844,796,917,911,748,
148,578,664,102,165,576,496,622,702,564,710,544,807,596,541,182,542,781,719,
058,648,809,996,938,987,086,071,083,696,166,901,100,789,944,486,919,188,235,
483,986,182,306,935,459,932,133,634,505,884,225,190,551,065,278,372,080,215,
661,951,445,939,992,337,446,572,391,789,254,601,304,077,013,685,154,020,899,
433,528,873,748,693,195,980,923,185,074,877,455,453,460,927,875,253,605,059,
163,696,654,653,037,732,837,630,024,621,114,674,977,074,923,669,891,009,979,
981,505,557,443,167,502,002,068,502,489,522,331,639,731,161,109,709,227,433,
307,619,135,441,577,371,647,509,620,047,867,264,662,761,879,913,135,550,875,
361,388,794,367,482,515,310,237,572,923,415,697,250,231,416,279,633,859,344,
763,418,821,399,436,000,985,141,451,308,924,186,775,389,962,827,070,584,902,
113,221,981,787,544,084,092,989,667,503,805,199,631,772,367,473,880,582,836,
722,927,527,290,119,131,238,841,875,300,910,852,294,071,867,378,270,109,552,
270,958,628,534,446,905,970,384,527,104,920,672,266,547,839,540,685,138,199,
117,715,028,113,442,001,704,876,279,184,878,953,115,553,289,141,536,107,910,
928,763,842,993,710,955,610,848,898,680,323,269,228,139,003,559,377,094,326,
980,026,511,479,359,113,738,959,473,556,944,700,296,086,647,845,967,507,238,
179,547,099,741,340,829,305,951,913,711,661,165,026,383,709,125,234,017,885,
209,329,777,003,259,548,661,038,207,957,222,134,124,746,772,931,511,304,120,
402,197,085,034,836,112,403,381,678,303,110,823,926,044,434,846,083,197,852,
145,271,432,430,552,663,918,371,112,297,849,203,821,453,156,588,540,550,562,
993,115,330,037,070,900,342,616,851,298,872,965,541,597,296,607,657,452,230,
841,631,606,778,969,725,023,868,472,919,642,560,075,018,473,939,370,510,605,
749,542,190,509,788,709,237,012,853,395,194,699,187,171,990,016,193,920,550,
701,818,704,843,490,761,455,186,650,675,753,792,859,307,554,672,365,734,714,
210,901,186,615,934,363,719,631,143,581,728,786,125,812,072,449,795,678,745,
697,343,127,345,715,070,510,183,443,258,319,646,241,506,009,744,876,736,071,
600,613,901,464,779,000,305,947,856,996,023,874,994,424,712,496,252,751,373,
674,541,087,203,758,797,551,496,449,386,816,636,855,826,941,497,484,034,306,
842,929,187,158,719,272,131,790,049,506,625,955,269,171,498,028,516,891,592,
958,724,388,236,364,308,158,673,153,797,150,987,154,750,835,710,679,812,905,
849,990,761,639,412,137,869,900,807,446,723,489,238,106,146,389,622,473,162,
474,427,290,154,092,584,877,399,127,132,813,302,178,317,708,637,637,666,344,
498,994,565,337,411,979,756,544,263,656,291,783,567,075,175,956,815,758,310,
070,183,379,553,084,562,571,466,393,540,051,230,705,573,411,938,508,499,529,
118,682,003,181,949,045,607,380,142,452,294,495,269,578,203,883,679,114,874,
898,968,260,295,113,198,090,338,991,252,620,612,870,747,016,181,200,054,416,
561,778,589,121,756,054,919,933,138,440,744,130,265,747,740,636,066,277,810,
359,500,301,056,625,591,956,744,703,529,119,385,790,329,886,380,500,199,639,
045,689,349,508,165,672,398,196,734,938,284,892,364,326,075,735,518,212,935,
827,079,261,122,281,464,746,350,658,417,536,407,118,596,046,530,354,971,439,
795,791,980,436,535,649,841,041,059,642,019,706,241,586,568,950,761,911,517,
663,513,658,964,721,529,122,117,947,692,605,927,776,787,691,553,735,615,428,
445,765,776,212,852,670,938,951,585,194,020,837,794,966,817,061,085,373,323,
188,092,800,022,095,158,642,118,985,844,078,099,276,523,934,673,974,997,549,
665,412,680,956,438,971,312,024,230,361,344,935,675,501,958,821,068,503,498,
344,853,996,279,821,432,516,682,932,133,479,607,799,444,450,285,340,741,187,
968,441,630,555,759,454,858,051,240,285,143,514,294,962,227,935,856,742,070,
447,942,259,234,272,698,753,070,624,095,525,282,158,881,913,704,921,684,532,
378,433,989,320,172,771,111,800,073,982,199,010,366,554,263,677,710,770,506,
058,369,753,442,944,151,504,258,655,283,910,929,141,729,989,498,713,166,611,
980,322,291,962,860,857,982,900,646,491,747,338,419,665,063,001,034,148,728,
892,614,053,324,938,662,688,773,164,588,946,421,255,365,988,691,833,879,009,
542,263,935,991,545,380,293,990,550,569,055,774,924,314,449,182,323,245,476,
706,749,897,969,716,887,828,465,473,144,901,159,009,195,704,509,790,700,624,
974,704,443,375,431,597,188,866,008,800,149,731,415,201,225,810,304,007,140,
146,291,505,327,743,301,824,592,479,877,359,695,856,721,875,851,559,267,768,
520,189,238,059,002,976,004,655,096,197,445,371,998,378,490,987,814,540,613,
087,695,251,581,499,945,911,821,802,626,978,555,865,231,396,070,943,579,667,
091,353,298,298,057,351,765,417,047,472,484,359,191,600,650,925,385,279,775,
200,594,550,983,367,474,006,022,417,074,260,031,338,231,455,833,909,028,370,
922,775,400,682,877,842,149,647,687,916,824,984,256,712,812,147,193,543,854,
914,668,191,670,951,864,948,420,815,182,938,681,947,168,818,680,601,066,690,
214,403,775,110,712,871,021,557,175,268,580,690,608,117,823,873,263,750,505,
485,094,201,873,815,940,755,197,628,364,214,329,131,196,210,472,218,032,122,
850,278,708,384,753,219,041,057,058,878,373,298,621,650,434,610,105,598,495,
249,346,407,999,614,466,149,139,915,431,819,903,734,889,241,325,740,287,715,
034,332,332,142,453,488,192,453,180,649,343,790,155,943,785,883,998,625,620,
230,787,666,756,321,518,581,662,559,487,318,847,055,653,946,367,671,567,995,
121,642,840,752,726,202,591,365,807,675,853,587,769,525,396,449,283,859,556,
629,256,262,400,560,353,331,627,248,173,969,962,501,392,516,774,889,499,517,
658,583,291,417,747,188,892,885,018,400,635,307,726,284,525,807,157,755,283,
608,476,480,257,368,257,376,812,745,381,815,052,641,686,129,008,964,675,028,
464,704,877,100,841,437,212,239,123,476,869,039,035,422,354,609,276,524,106,
792,690,581,460,967,313,056,199,072,059,745,104,129,799,684,261,548,194,480,
859,757,574,691,967,314,306,818,478,300,622,070,624,050,418,107,019,390,498,
325,926,620,120,966,791,762,882,049,057,987,748,904,772,524,958,244,940,532,
331,621,069,407,937,582,890,952,378,744,904,198,188,279,623,417,312,941,645,
167,871,355,651,457,612,165,266,236,131,598,101,022,517,183,490,135,795,521,
225,645,198,237,346,554,243,655,953,623,952,743,598,102,566,939,856,141,097,
193,012,377,009,857,342,069,191,072,580,296,774,176,080,161,285,110,586,443,
667,742,634,004,113,859,744,205,914,952,082,213,586,786,733,507,863,527,767,
654,917,682,806,723,008,751,821,883,348,313,170,944,013,135,306,331,620,891,
945,258,966,624,548,918,985,639,809,544,599,953,914,333,414,073,892,856,693,
855,725,459,837,559,554,465,503,802,940,076,255,827,965,570,710,121,552,814,
826,663,536,622,192,742,840,828,239,984,850,866,654,611,092,796,812,406,524,
477,268,899,378,332,753,304,234,011,948,135,640,822,951,546,728,646,052,177,
985,386,067,282,661,401,626,905,400,564,568,829,975,981,203,512,293,547,745,
904,405,634,282,469,094,487,971,295,121,275,020,570,184,118,205,585,619,653,
796,483,803,237,027,784,102,946,517,333,300,062,280,638,715,319,600,558,519,
492,537,622,414,560,985,320,244,978,045,707,764,997,243,326,566,467,866,974,
113,919,118,842,564,907,274,617,459,146,182,570,705,156,486,065,718,721,294,
785,820,840,906,363,064,709,004,607,768,151,098,367,639,738,375,020,491,981,
922,048,155,667,047,642,908,033,901,738,359,027,146,826,570,259,329,016,339,
034,705,097,482,246,757,192,484,670,922,076,527,956,166,558,926,350,432,409,
690,569,855,955,245,678,180,072,038,925,870,513,550,297,342,963,820,802,030,
856,721,098,019,368,176,291,526,777,142,256,211,445,843,420,894,814,801,294,
976,443,598,679,659,577,634,334,172,884,577,237,667,927,142,922,275,215,032,
300,540,852,935,133,740,761,416,928,844,430,213,207,268,694,387,881,038,779,
523,766,645,058,426,723,519,183,767,457,753,890,936,903,176,173,227,624,033,
419,117,094,183,096,710,270,624,526,319,814,547,022,789,035,325,140,716,630,
285,303,560,663,314,095,646,911,641,758,534,805,551,182,614,342,443,410,989,
720,671,580,882,327,017,800,272,409,432,736,853,087,343,098,561,563,211,889,
974,401,008,618,156,511,617,988,054,495,183,934,270,121,871,540,838,185,745,
260,718,966,818,061,973,015,955,945,344,854,188,245,763,795,819,796,168,505,
061,821,358,755,363,857,921,869,563,377,586,725,936,000,255,513,773,658,144,
345,637,939,989,294,746,273,641,216,605,077,416,799,416,093,523,921,179,694,
976,120,181,396,941,247,687,212,255,731,684,238,299,166,662,478,249,209,755,
648,700,215,503,382,983,564,598,670,012,380,744,428,675,793,262,700,161,706,
700,986,916,496,711,710,137,020,005,605,406,448,225,209,321,225,675,275,898,
160,695,560,601,602,964,444,293,670,781,122,872,742,453,861,333,297,701,585,
972,430,266,324,821,590,840,000,532,195,365,294,114,307,431,207,041,570,941,
459,607,518,587,944,177,385,060,723,135,884,386,420,104,467,248,274,316,320,
062,170,341,711,412,092,539,632,029,697,321,495,893,078,694,159,255,201,604,
058,042,378,718,957,233,610,994,643,376,800,873,279,621,062,738,067,506,016,
393,392,839,939,385,508,086,043,634,171,762,587,988,815,232,885,903,170,837,
261,870,958,080,625,823,112,301,824,259,294,281,677,190,457,090,021,756,679,
104,353,990,733,001,529,420,352,161,294,436,796,918,235,525,565,000,615,886,
726,056,393,954,415,036,069,053,658,731,735,965,769,790,841,535,624,792,646,
931,336,161,747,894,402,478,858,363,133,704,480,825,870,282,565,461,590,700,
364,392,312,187,116,299,514,640,498,063,134,551,964,954,532,533,136,927,993,
360,579,262,840,954,480,939,905,612,003,216,628,962,442,881,142,356,541,876,
042,881,242,492,107,523,293,371,776,025,545,473,622,823,477,915,975,141,220,
940,170,610,320,502,827,269,554,293,725,325,436,886,709,584,649,492,778,923,
914,867,855,872,691,307,190,413,884,952,746,331,545,623,578,347,644,053,918,
476,946,226,771,641,157,205,820,806,295,258,554,176,769,727,489,081,509,297,
129,157,118,104,141,960,145,161,680,089,705,873,140,976,516,163,139,009,053,
089,378,332,937,352,039,843,661,695,706,972,218,048,160,188,165,690,218,008,
146,270,498,647,423,233,833,185,020,666,754,206,227,670,073,729,470,077,297,
390,050,079,286,695,825,459,972,726,613,679,932,505,286,546,968,460,721,686,
282,944,333,775,267,623,913,298,112,557,565,354,701,502,566,889,298,878,755,
553,884,634,744,718,131,971,014,489,559,858,078,881,147,792,414,243,641,662,
083,737,727,153,969,537,342,840,800,710,535,348,017,635,579,095,453,642,326,
945,552,497,939,416,038,320,038,239,964,352,061,040,453,955,701,930,717,177,
559,522,956,511,424,670,846,954,170,825,734,683,262,913,835,446,515,951,010,
646,104,418,576,124,289,460,676,563,717,691,308,284,017,236,829,595,311,809,
986,891,658,502,754,922,005,962,861,677,445,302,505,766,082,164,311,127,487,
088,986,908,594,586,761,621,958,843,206,567,531,062,285,503,252,528,069,575,
874,273,397,533,383,842,486,105,344,918,258,618,631,490,822,880,604,109,325,
660,128,233,101,158,512,726,568,963,296,890,617,965,794,942,495,012,055,421,
774,657,541,537,213,010,068,690,398,586,964,713,860,308,774,187,387,080,929,
975,598,554,938,648,199,376,173,915,929,356,714,681,096,626,833,799,000,537,
277,382,642,721,357,398,102,681,877,211,653,724,366,712,615,996,722,860,565,
396,040,995,714,604,832,705,339,273,312,092,821,292,638,655,365,240,553,915,
126,225,899,683,145,177,076,766,569,402,643,900,228,645,363,415,606,306,288,
777,437,503,557,574,771,452,270,880,750,655,542,029,375,644,102,457,783,599,
953,292,145,447,325,761,510,881,841,533,711,280,716,312,573,086,763,773,140,
385,797,344,201,252,956,605,981,944,349,026,317,708,632,787,345,396,626,261,
821,360,586,872,679,038,493,629,382,035,009,263,569,670,729,302,257,898,057,
589,199,334,580,577,421,691,653,071,147,831,695,698,052,322,336,317,777,855,
800,223,673,981,428,578,531,065,877,381,265,173,400,525,673,834,091,558,470,
587,420,384,783,109,304,964,724,165,797,578,666,484,768,018,584,187,919,733,
977,982,619,713,922,876,738,760,363,903,863,210,360,997,884,244,777,082,857,
062,549,480,202,531,427,984,032,892,324,507,813,464,033,003,742,894,552,289,
606,450,768,386,010,971,109,419,643,328,962,316,354,497,221,237,245,310,733,
382,294,288,040,438,348,548,623,991,922,313,050,640,599,601,860,330,347,725,
528,320,226,675,059,121,473,682,527,547,519,174,150,148,330,781,953,521,364,
927,026,392,684,285,262,647,092,863,887,254,560,109,233,131,106,384,456,204,
310,818,507,560,966,678,932,319,075,389,105,522,799,277,327,105,459,556,825,
008,173,254,842,820,604,967,642,800,747,645,216,536,312,805,020,609,121,506,
775,643,098,083,452,776,094,914,896,269,017,342,149,050,313,629,469,307,849,
048,460,056,318,571,222,019,324,574,503,067,328,394,962,541,957,260,457,866,
824,587,295,215,148,960,905,173,378,585,776,067,261,491,298,238,267,175,454,
040,285,642,285,827,930,876,202,820,780,325,492,259,496,560,223,294,170,243,
380,871,586,185,065,834,800,147,478,839,760,811,536,067,521,846,467,107,108,
834,168,473,980,896,826,619,176,748,402,786,415,663,940,988,755,138,525,334,
981,716,166,210,371,495,876,354,293,043,581,053,504,529,361,869,614,741,633,
309,969,850,380,585,563,306,638,808,137,110,712,005,638,991,370,794,242,376,
469,419,474,051,341,742,800,486,146,565,542,297,554,303,674,907,337,939,705,
774,815,003,957,695,434,104,032,426,536,589,358,351,454,081,559,997,778,868,
649,637,868,873,760,172,698,424,809,731,500,021,022,314,123,250,148,036,809,
524,179,347,671,542,055,740,331,915,501,140,724,895,969,319,517,313,728,331,
921,826,409,542,705,900,609,622,673,484,946,521,226,955,093,716,318,097,006,
990,053,924,362,847,364,502,852,643,350,458,227,594,525,352,790,161,981,137,
736,357,457,821,902,479,315,543,723,474,675,870,039,882,925,694,780,873,302,
807,844,487,363,050,153,639,110,023,785,753,374,589,679,154,637,198,807,893,
896,942,945,735,446,446,398,322,463,794,909,114,073,344,076,589,250,872,579,
846,636,241,443,124,362,820,280,827,235,760,676,414,040,904,569,410,876,954,
499,588,760,963,632,144,580,151,621,513,925,635,371,961,172,414,549,327,099,
743,313,529,483,989,909,443,276,820,409,297,016,754,914,474,254,494,667,458,
461,047,343,514,181,261,223,008,187,694,299,820,330,699,444,647,171,415,017,
275,541,612,901,107,884,074,975,951,435,342,635,829,113,504,639,269,477,012,
474,910,278,630,886,817,422,267,017,479,772,837,399,496,956,214,283,677,778,
695,383,011,784,651,827,852,314,296,843,572,585,743,449,359,826,587,829,659,
005,610,554,101,535,892,398,511,255,370,492,926,285,784,879,092,562,923,464,
476,156,566,632,305,772,627,386,638,185,164,089,970,583,271,459,128,790,096,
053,445,205,651,593,837,207,296,998,508,251,486,250,718,087,307,596,518,996,
532,987,960,364,143,917,036,305,543,133,950,686,729,505,454,709,635,412,492,
375,980,891,659,301,068,736,816,114,932,973,104,046,148,038,509,432,133,065,
127,704,568,945,905,989,129,330,833,753,676,668,659,787,219,095,980,729,391,
962,051,284,627,460,144,698,823,849,905,891,262,390,715,347,172,770,259,157,
918,643,351,678,048,722,977,031,892,613,955,059,944,211,839,232,572,470,455,
378,711,738,910,148,644,171,995,264,363,292,764,871,227,516,239,447,792,464,
067,249,973,149,701,206,546,907,511,177,450,829,378,238,713,135,485,134,911,
991,213,253,195,386,204,496,371,827,362,613,204,641,565,910,918,999,961,206,
906,563,624,729,636,185,575,303,309,582,870,852,002,546,558,851,786,255,826,
871,244,539,037,901,978,903,683,265,118,781,898,347,053,610,311,521,351,709,
758,868,774,814,552,262,294,788,519,776,781,183,213,352,464,826,938,425,923,
914,952,260,907,592,499,965,490,999,276,831,102,223,257,632,234,801,617,850,
997,765,444,889,373,558,780,974,092,740,169,215,947,527,337,198,077,279,210,
535,636,140,390,295,446,484,311,605,842,573,767,432,043,013,844,518,831,939,
472,606,503,072,789,415,970,173,974,730,841,601,814,663,858,386,053,137,884,
911,941,316,264,122,088,791,091,752,919,796,966,709,958,431,878,264,093,546,
982,755,884,733,756,059,267,622,222,928,251,403,842,598,923,979,986,117,933,
617,667,258,679,090,261,836,216,342,591,815,313,920,168,791,163,877,531,872,
979,232,056,876,654,809,025,196,375,630,140,890,535,694,223,282,049,357,407,
332,319,921,142,207,250,547,819,143,906,075,552,448,363,467,173,554,568,744,
604,397,704,492,008,176,336,896,935,649,065,362,343,298,308,348,894,805,590,
545,365,379,582,901,067,084,555,516,818,449,405,277,077,183,184,880,324,955,
191,776,147,810,034,768,930,159,803,349,402,331,703,851,068,871,467,359,213,
000,328,260,874,552,694,388,719,335,175,739,201,442,792,211,742,263,809,928,
499,621,356,482,966,141,371,130,331,232,332,440,297,737,018,781,844,008,894,
745,354,986,352,641,000,567,150,315,019,548,701,824,582,768,388,065,934,507,
931,321,442,809,673,705,032,441,682,012,729,772,334,978,140,105,646,232,736,
076,732,668,856,565,260,571,360,877,044,941,077,651,565,499,053,187,033,923,
149,253,871,407,730,056,039,447,156,620,797,036,398,024,612,021,820,659,868,
087,543,336,632,240,938,278,541,783,269,318,364,040,275,244,634,175,198,253,
584,338,825,989,126,912,450,073,261,152,861,872,190,265,174,188,931,768,022,
183,883,824,099,328,036,355,723,004,457,141,352,882,380,244,726,676,140,283,
398,104,349,083,806,446,517,703,964,362,287,028,603,240,209,002,703,372,239,
187,062,016,697,149,604,267,321,985,605,708,758,475,455,985,436,973,184,106,
147,501,799,097,344,303,517,863,893,310,389,395,472,066,071,060,736,704,296,
975,785,959,256,023,432,524,352,328,367,120,136,585,201,983,057,067,223,011,
874,322,503,417,816,559,761,536,649,471,339,682,682,573,425,346,928,511,605,
628,753,543,743,145,096,764,191,130,508,166,967,505,792,120,517,588,539,205,
802,945,053,923,864,298,380,598,336,787,859,089,278,720,658,651,493,972,061,
730,537,712,049,832,203,455,724,240,519,288,634,550,527,434,951,120,734,922,
877,320,252,317,753,913,643,991,150,976,117,477,998,258,070,211,607,141,639,
641,027,366,322,395,295,652,372,816,582,136,020,045,015,508,221,979,261,236,
285,370,533,270,848,084,333,467,986,766,856,529,974,274,025,791,966,436,447,
467,203,544,398,741,583,633,896,787,342,302,096,300,646,079,262,885,513,926,
806,235,127,679,309,662,289,364,205,939,442,396,969,689,873,229,390,646,972,
928,591,682,849,754,011,417,911,503,686,432,876,354,363,624,111,478,868,659,
790,975,348,625,912,883,505,686,126,323,643,464,287,352,294,052,060,444,193,
145,211,789,622,646,495,938,055,222,700,602,477,150,791,042,828,819,255,879,
445,233,923,860,794,116,660,106,687,446,598,019,910,024,550,422,708,894,123,
020,140,977,702,065,763,800,044,017,406,625,851,698,731,826,682,544,191,568,
482,591,676,959,324,542,408,173,593,950,956,914,174,348,432,974,180,971,347,
626,859,238,053,179,765,915,065,841,388,495,787,535,415,556,050,788,715,195,
340,971,975,579,485,116,621,291,246,342,768,471,828,749,991,672,722,596,910,
787,448,543,406,954,226,558,766,495,236,249,625,103,796,465,244,941,674,633,
160,673,960,292,885,530,313,980,241,867,980,269,524,612,843,595,147,064,195,
838,477,273,532,738,104,922,499,663,263,254,113,130,108,510,856,087,229,006,
840,440,761,875,166,372,786,620,860,088,205,719,984,813,524,830,496,826,189,
509,083,367,755,365,337,899,222,552,396,054,162,179,792,382,799,527,428,817,
529,815,873,425,977,335,156,687,787,860,036,427,521,692,762,334,553,058,903,
908,324,307,955,982,677,670,848,267,751,375,719,699,194,172,629,406,488,708,
172,014,521,636,616,051,078,479,004,539,471,622,007,857,984,111,705,065,095,
649,026,389,552,382,989,421,589,626,142,516,261,503,787,606,065,910,430,826,
177,457,135,591,442,153,031,851,904,824,549,606,114,735,216,399,408,406,333,
138,523,420,958,223,952,783,128,841,078,437,884,523,555,033,489,718,165,653,
862,094,413,432,218,210,517,783,178,929,176,283,264,799,466,254,224,601,122,
115,006,735,263,440,606,822,626,003,914,656,670,311,310,831,540,296,923,652,
249,499,378,048,168,973,681,842,897,025,953,239,678,823,637,984,064,384,688,
797,289,517,653,954,392,912,195,982,772,818,453,871,195,241,110,307,348,280,
910,912,281,324,222,192,654,351,901,611,440,423,719,024,506,923,768,527,009,
443,625,515,146,988,567,321,645,835,907,731,578,782,728,397,622,061,638,927,
072,759,945,157,372,606,714,047,739,878,615,670,205,037,261,509,387,576,468,
229,857,458,707,503,749,785,742,900,643,471,845,211,057,795,434,339,675,218,
047,150,325,171,518,007,524,647,399,419,755,727,686,374,162,871,628,763,684,
377,300,225,125,850,176,895,656,493,846,973,378,920,795,114,562,744,847,302,
743,265,825,948,569,704,391,318,553,418,906,600,247,661,222,559,589,283,769,
916,350,528,079,510,703,394,805,633,365,734,511,132,096,640,521,946,362,041,
103,449,158,283,327,294,381,327,963,642,093,649,908,066,470,326,611,348,040,
763,548,428,981,453,893,028,984,995,538,839,073,850,763,348,771,137,397,510,
245,365,221,913,904,207,584,959,804,177,009,852,077,445,923,808,244,374,085,
871,481,646,329,134,227,301,954,643,547,807,814,848,246,093,269,273,494,403,
171,248,604,053,748,134,363,979,808,354,723,183,740,234,237,693,588,056,556,
188,290,695,816,686,157,152,361,401,504,439,566,159,002,283,657,445,027,693,
216,910,757,077,132,378,959,263,574,404,939,252,327,845,301,254,636,254,192,
118,953,405,815,917,701,629,983,932,731,727,221,010,479,007,192,853,042,762,
392,688,322,315,635,288,932,430,559,160,929,435,423,254,450,032,637,602,265,
818,801,576,439,857,247,290,940,484,532,359,495,387,324,671,510,647,267,697,
934,760,472,933,163,059,684,364,733,064,347,424,946,764,063,027,843,284,332,
121,494,584,920,209,962,756,521,734,582,999,527,040,096,598,430,491,490,107,
059,339,796,828,178,128,568,395,775,667,899,666,375,469,751,724,328,935,433,
009,238,030,207,844,066,483,975,654,482,520,422,267,796,430,455,798,248,529,
160,030,382,733,473,693,476,273,209,890,069,884,264,897,798,190,580,640,058,
878,770,000,723,931,685,384,491,579,377,962,846,977,425,053,248,258,286,211,
624,725,508,420,010,121,041,874,981,599,004,275,465,500,607,786,255,163,703,
293,396,807,953,625,454,265,882,492,742,080,072,805,758,079,176,951,281,633,
190,825,475,967,098,954,160,511,853,945,320,140,405,125,557,969,933,381,548,
963,308,998,710,223,507,154,122,387,698,198,524,128,214,044,656,938,789,081,
713,279,802,917,351,095,644,944,496,306,460,884,216,620,875,349,432,450,995,
795,513,363,870,579,159,589,538,686,566,635,365,994,935,291,489,016,286,797,
725,062,444,624,417,821,653,278,141,948,927,526,126,681,857,628,868,870,122,
079,808,604,966,251,344,650,088,444,101,732,623,245,448,925,783,880,964,351,
887,593,018,972,897,939,779,560,561,540,920,770,437,189,290,495,808,041,844,
239,299,972,270,959,932,820,209,065,051,788,099,872,419,615,818,180,771,360,
754,506,472,645,510,173,759,861,631,527,433,458,420,582,840,926,830,616,469,
821,922,859,684,917,531,825,176,695,805,689,924,576,683,018,321,735,152,854,
434,161,237,928,676,683,185,503,951,456,965,128,987,231,070,150,663,913,309,
527,667,952,315,963,574,621,862,925,174,442,568,601,043,910,484,045,871,794,
265,869,350,386,794,038,112,947,105,177,948,772,164,240,109,799,877,999,353,
664,215,170,146,651,937,063,399,839,071,863,103,527,542,738,845,170,420,478,
775,212,186,260,533,474,499,315,529,523,991,873,537,110,955,065,496,447,188,
460,527,803,797,483,883,361,147,424,857,967,757,021,355,935,800,490,701,316,
203,534,825,330,319,125,228,910,768,234,587,700,518,912,796,852,239,638,981,
840,685,906,515,665,146,078,612,164,317,871,710,762,528,974,488,828,741,299,
357,324,715,650,478,697,701,754,999,126,126,852,076,569,400,033,019,173,868,
284,986,457,482,408,101,528,861,878,015,185,049,953,362,478,708,052,283,311,
503,790,819,123,376,683,897,499,486,214,428,235,816,937,338,971,448,450,710,
654,232,693,854,978,567,812,842,011,571,638,618,540,732,090,267,939,795,825,
858,051,488,499,943,891,929,833,962,635,296,772,959,216,857,667,054,254,057,
564,232,729,530,085,842,834,353,101,090,071,448,110,696,202,438,389,745,136,
634,002,240,114,478,260,158,938,495,698,051,745,806,441,320,353,349,195,743,
275,027,467,506,000,353,062,237,456,456,393,520,668,148,129,124,472,491,567,
260,289,451,417,570,264,179,937,278,594,588,559,210,444,665,569,601,523,236,
068,005,689,565,459,644,543,360,099,182,183,800,823,263,826,826,290,169,581,
665,773,455,815,230,445,846,078,311,922,940,119,139,002,624,203,287,880,493,
551,190,863,704,255,513,892,745,224,802,056,603,546,159,245,861,607,985,293,
846,530,726,343,895,391,493,265,105,300,701,632,057,882,815,266,074,442,896,
686,118,500,293,966,022,825,605,703,489,014,349,371,534,574,042,001,727,753,
456,152,418,100,643,160,929,896,933,376,365,859,946,786,547,296,432,385,711,
491,633,003,688,145,460,291,994,768,790,083,654,493,321,043,181,880,864,197,
500,357,900,952,215,455,582,139,846,559,911,197,821,938,698,730,777,155,526,
695,551,792,331,189,442,131,132,345,473,112,617,330,068,033,132,218,004,290,
418,411,710,584,703,284,755,840,298,993,971,344,556,223,911,495,756,472,291,
833,250,510,434,661,036,184,278,618,715,386,637,799,237,558,296,081,875,730,
324,228,407,000,737,512,277,816,340,715,359,098,629,628,627,858,178,236,397,
040,691,998,285,161,474,257,118,808,594,051,675,220,380,945,471,694,582,087,
583,840,444,275,873,317,358,491,766,935,923,720,879,002,499,757,381,567,875,
671,938,221,096,594,301,713,147,583,855,115,249,791,267,054,094,987,173,682,
247,480,225,466,815,793,744,508,071,294,063,936,996,871,847,008,513,588,306,
788,224,373,505,298,146,336,113,134,024,459,933,927,269,775,471,160,540,310,
649,044,209,761,266,189,870,823,908,539,335,192,666,404,559,877,127,524,409,
799,913,101,380,765,984,990,378,542,566,255,268,306,406,973,405,763,211,136,
704,638,845,391,643,444,860,340,400,408,281,986,803,517,557,243,510,909,790,
525,896,651,177,437,612,010,581,789,041,594,808,166,783,578,240,421,346,219,
576,735,289,452,782,912,219,227,318,677,182,090,206,582,145,899,454,342,167,
829,900,653,131,424,854,446,516,285,013,215,586,409,477,605,833,943,172,337,
699,797,287,419,146,955,564,544,601,442,602,232,258,050,403,305,383,977,052,
175,773,020,999,583,074,282,347,864,679,463,152,699,233,083,280,046,493,328,
778,744,091,688,466,223,252,694,009,765,886,472,629,015,821,179,318,245,383,
293,460,028,333,431,818,943,516,401,684,205,809,704,561,516,674,840,356,644,
452,737,315,918,242,636,779,452,030,624,878,539,774,885,198,560,689,149,030,
681,731,278,177,229,461,197,773,687,336,447,619,506,419,767,024,893,809,929,
272,531,467,320,722,525,196,272,109,535,653,287,382,254,661,900,643,376,654,
024,399,614,221,287,541,217,986,277,161,158,238,849,831,598,962,613,442,486,
293,479,305,019,630,067,002,244,084,467,233,947,291,387,968,680,083,636,266,
981,435,323,883,867,694,833,650,839,122,534,619,394,304,074,899,618,992,204,
799,629,838,152,333,137,264,854,634,520,248,863,565,176,237,384,852,950,194,
636,589,766,486,880,768,081,087,777,248,671,452,280,674,506,321,514,505,109,
283,624,915,956,628,566,814,586,237,145,260,928,981,902,513,526,880,413,984,
958,692,477,368,867,690,687,654,944,599,929,599,464,794,136,804,781,647,822,
676,975,169,955,176,571,586,906,118,599,448,835,012,794,158,313,504,645,910,
555,793,204,119,426,080,736,363,339,496,621,994,795,284,169,645,151,835,384,
803,993,638,835,861,714,828,814,548,708,168,709,864,478,371,093,709,286,980,
745,961,978,662,392,936,368,642,894,363,130,494,389,915,509,576,696,850,683,
371,067,518,175,710,001,475,164,077,708,425,189,002,082,406,929,669,128,181,
569,194,652,495,077,899,979,463,742,655,358,793,209,387,149,539,191,074,772,
416,235,062,347,371,180,362,400,923,999,604,909,432,478,391,685,703,436,107,
000,705,621,413,006,608,506,152,955,696,148,944,893,260,078,221,432,851,262,
179,567,791,855,304,600,416,258,145,447,193,429,750,183,362,507,738,274,343,
819,772,236,816,787,382,614,762,803,732,579,715,691,139,508,728,437,385,788,
180,117,302,394,905,894,145,186,932,328,219,357,837,292,106,226,776,128,016,
385,276,502,547,962,484,901,429,466,996,145,144,929,863,148,251,859,703,114,
758,893,730,878,201,462,777,910,911,448,016,042,212,185,951,735,934,770,592,
030,529,368,459,848,116,409,832,768,619,338,571,104,633,791,706,025,469,784,
350,317,340,023,818,122,477,597,692,242,380,232,592,109,195,214,190,778,278,
917,137,239,138,572,271,273,686,167,449,034,773,760,072,462,006,065,652,638,
988,188,450,153,885,826,313,542,827,486,207,144,165,477,428,161,149,885,073,
553,306,343,467,907,788,855,268,826,193,853,457,339,765,001,987,009,756,709,
481,829,751,484,709,114,614,262,668,295,284,199,049,864,114,982,770,203,233,
711,935,854,710,754,908,072,609,462,699,509,394,993,594,254,066,461,495,685,
445,043,561,956,823,434,771,131,677,704,299,691,169,406,313,604,811,616,198,
764,848,916,158,542,580,262,222,048,461,282,491,727,172,140,985,054,704,508,
517,503,361,399,370,809,855,238,819,384,733,526,485,375,914,958,724,203,256,
928,436,460,638,252,455,311,240,906,844,585,702,040,810,511,348,864,204,908,
626,059,990,328,799,347,241,229,622,960,774,245,766,255,407,345,838,910,138,
548,130,405,314,593,858,366,028,462,856,601,188,101,691,841,010,073,698,873,
358,114,521,538,280,752,159,791,097,949,826,298,059,274,633,342,018,046,284,
199,482,447,769,218,741,261,094,369,704,856,603,713,013,951,223,062,758,471,
609,060,905,586,655,535,732,940,213,683,468,243,192,461,691,883,434,789,806,
343,377,850,092,206,381,565,574,152,118,504,653,986,796,067,832,525,445,962,
883,453,717,120,450,153,414,478,975,024,514,549,347,445,297,925,851,841,309,
835,652,566,665,988,347,963,428,438,712,692,881,173,243,445,768,337,664,687,
127,941,354,230,374,685,464,011,763,549,345,696,387,566,835,634,014,995,987,
291,163,709,056,989,708,486,788,215,236,089,434,365,150,773,024,932,149,738,
334,578,781,405,023,660,464,075,486,553,844,384,573,989,839,210,278,793,006,
497,053,496,546,310,019,346,876,912,928,614,616,595,995,083,224,952,436,993,
498,035,855,701,998,507,643,476,597,659,299,575,051,934,783,966,187,755,957,
625,035,641,311,433,417,833,889,819,801,244,252,548,989,607,191,713,310,472,
280,560,406,790,573,058,244,200,832,778,211,779,854,802,996,666,562,489,780,
270,529,169,805,275,372,311,483,928,324,567,669,372,675,161,608,150,348,104,
640,090,927,246,989,788,102,707,859,118,425,151,553,800,005,457,578,442,149,
019,108,346,450,455,006,925,288,792,939,064,920,413,331,165,746,883,072,825,
709,753,885,811,763,737,483,930,861,895,420,939,129,981,292,480,809,497,666,
924,952,040,492,849,782,451,124,362,553,059,040,176,877,621,876,560,187,203,
019,623,368,574,956,556,818,270,204,463,212,028,408,101,341,900,567,870,215,
498,265,498,027,103,967,322,929,350,931,662,817,397,413,677,072,094,981,754,
553,677,026,807,259,179,865,437,783,058,346,004,911,194,666,591,574,217,215,
097,560,901,235,641,130,771,908,068,412,806,532,891,824,588,535,999,512,934,
058,169,154,838,219,638,269,746,806,136,213,618,740,413,013,178,606,421,523,
280,832,888,286,033,955,896,388,430,189,456,030,636,228,900,927,061,654,466,
379,872,598,345,974,942,055,485,301,799,719,107,049,484,408,706,991,216,358,
776,978,550,432,961,044,665,109,636,667,171,693,160,212,761,715,166,729,010,
776,099,505,201,852,028,526,926,582,384,893,353,430,702,566,112,453,757,216,
599,971,360,342,699,445,217,802,575,550,181,750,820,466,403,668,940,543,007,
820,714,512,285,585,088,651,793,960,939,727,317,998,266,827,277,231,713,488,
619,779,375,819,573,284,620,246,168,804,132,375,040,893,735,427,679,914,494,
365,781,247,170,941,426,550,853,852,565,193,639,930,501,404,938,972,302,090,
107,319,642,521,983,887,494,564,549,809,197,478,379,404,927,235,358,701,262,
629,583,279,374,249,288,981,481,427,800,865,622,498,176,774,922,885,710,076,
034,317,440,417,297,317,609,593,418,038,800,506,697,420,732,568,291,379,227,
698,849,738,299,442,087,631,108,782,558,313,627,214,848,886,302,613,519,989,
727,605,699,310,263,055,189,141,547,249,191,207,660,752,503,313,461,546,246,
661,885,511,441,396,316,578,058,850,815,393,004,353,810,594,263,765,688,793,
217,089,128,640,578,343,907,859,520,729,016,752,764,326,435,442,413,199,795,
692,531,737,672,064,999,562,599,398,799,834,434,715,868,477,538,256,200,985,
027,663,200,135,610,489,336,748,604,803,228,066,658,598,458,029,858,886,458,
428,745,659,748,238,606,766,074,572,611,208,617,563,632,058,251,996,673,844,
568,182,392,336,831,378,353,636,041,461,082,712,590,744,265,711,626,722,314,
161,204,703,191,961,476,651,086,156,935,454,500,632,182,101,563,648,195,328,
420,918,791,775,639,480,220,630,424,467,251,279,431,197,758,663,797,390,553,
820,985,977,334,101,866,228,899,574,557,949,714,497,741,060,324,682,934,084,
794,026,494,178,843,143,884,065,958,363,799,629,508,931,783,321,829,283,522,
550,381,269,064,737,677,013,477,721,812,283,224,229,020,591,947,504,596,890,
701,051,053,071,907,696,963,123,976,232,925,616,635,228,827,402,765,281,835,
399,816,942,837,928,842,286,390,400,204,506,131,861,493,940,894,611,253,325,
719,360,607,764,337,951,560,009,033,169,992,143,345,359,697,444,834,604,446,
291,173,664,445,155,141,879,255,967,112,853,431,621,291,429,994,005,906,051,
592,278,979,537,265,457,280,604,058,353,858,820,767,672,611,750,611,519,788,
279,424,456,073,390,320,067,809,461,661,860,900,539,746,256,815,943,954,610,
401,635,323,151,825,288,464,865,188,398,240,661,355,062,190,212,247,559,402,
870,850,846,493,006,549,736,138,077,609,080,638,491,332,780,881,176,095,068,
423,593,630,105,263,400,292,837,650,779,347,623,770,947,783,234,354,225,948,
629,927,089,604,631,941,180,705,636,315,530,913,624,403,539,953,481,487,409,
355,167,523,780,035,940,146,877,510,586,181,267,195,098,351,116,633,348,359,
902,745,651,052,232,548,096,763,770,087,112,655,608,565,583,444,262,682,855,
360,440,412,536,202,368,107,200,050,969,681,969,172,347,079,256,352,820,506,
907,976,176,479,118,129,966,301,431,136,393,435,946,564,531,181,749,605,004,
806,164,791,889,776,381,375,273,606,032,538,946,233,186,382,318,166,201,099,
367,545,679,813,678,161,204,062,670,121,093,291,996,083,466,542,592,204,040,
278,619,736,517,220,788,645,274,011,313,156,914,533,524,012,231,376,953,913,
952,828,542,244,600,119,687,310,411,211,301,187,295,649,918,741,722,471,405,
980,565,868,556,829,897,774,420,345,907,829,386,973,132,954,059,491,132,868,
890,465,996,713,938,410,478,162,702,965,921,674,949,025,147,375,862,637,738,
822,089,434,781,271,835,426,411,993,944,769,503,078,312,135,313,451,972,795,
388,826,880,984,835,849,478,290,265,481,240,059,341,047,834,372,216,080,563,
990,022,054,314,998,374,733,570,723,814,731,684,970,153,000,446,063,889,405,
881,149,390,935,950,087,558,562,619,293,133,616,086,052,761,536,823,609,560,
727,420,144,254,035,665,471,342,368,868,910,020,278,866,070,480,447,695,628,
860,517,155,747,008,855,798,186,321,988,602,287,091,689,236,139,310,651,966,
053,286,420,564,451,595,480,739,510,456,515,873,376,331,453,951,043,986,825,
736,867,364,744,296,449,027,161,705,130,721,729,431,069,595,595,183,156,336,
708,942,176,798,143,126,326,649,501,121,353,681,585,493,011,669,051,824,702,
893,843,231,437,622,649,823,283,680,894,355,739,605,022,061,237,017,323,956,
628,431,739,913,613,686,793,109,996,592,994,907,190,287,027,542,935,569,776,
022,044,029,260,986,707,597,883,032,381,031,541,669,532,605,107,340,469,634,
467,895,772,104,001,955,022,234,228,795,032,393,965,882,468,968,284,687,423,
533,848,188,961,242,918,404,458,404,920,360,298,222,714,061,320,900,856,504,
637,885,431,272,694,183,038,564,591,136,117,663,383,414,341,297,719,854,421,
029,409,370,026,197,059,139,032,501,420,271,386,991,195,571,264,585,234,943,
905,468,106,255,887,802,624,263,857,725,752,881,252,334,394,329,648,374,392,
307,888,409,899,207,383,199,168,243,367,083,417,641,405,116,564,619,547,452,
771,589,972,635,782,387,249,706,270,797,670,567,812,947,935,326,098,648,168,
835,389,368,548,186,497,932,207,002,836,496,969,001,269,865,493,306,347,355,
762,705,711,253,649,825,592,877,347,089,040,502,318,271,146,772,776,327,913,
508,099,862,495,336,484,902,224,128,453,215,192,446,335,821,668,970,863,623,
932,518,490,759,775,077,479,787,285,791,051,110,571,707,474,648,336,329,253,
176,456,227,602,578,632,488,130,707,695,934,886,546,487,074,444,558,360,290,
842,887,992,559,456,845,716,393,836,499,948,210,392,997,619,208,157,127,258,
864,485,578,857,594,025,424,635,367,315,802,392,428,521,281,966,200,812,079,
851,855,145,334,696,289,120,884,721,926,542,421,450,404,897,725,856,598,001,
529,456,710,093,810,890,121,122,992,353,325,117,030,838,946,320,061,113,068,
723,574,030,172,538,855,192,456,225,785,838,307,040,815,446,479,621,967,394,
499,570,957,715,961,023,626,647,101,403,239,343,587,513,385,682,318,702,295,
245,242,023,833,693,431,584,265,897,982,740,257,113,824,249,040,105,046,397,
621,747,984,345,265,851,987,489,371,550,229,488,524,815,542,194,472,592,752,
998,046,178,486,954,708,746,076,016,370,864,298,313,752,418,215,370,478,248,
728,631,896,264,061,718,883,325,375,739,736,205,242,492,047,420,241,750,753,
916,719,431,264,498,448,306,840,994,609,493,951,868,672,850,893,191,949,773,
772,183,348,618,241,870,787,841,755,702,644,139,882,873,903,179,361,824,665,
820,883,833,788,733,033,371,859,556,350,238,174,403,319,795,465,808,128,160,
142,192,489,848,031,771,667,269,703,428,026,153,468,977,016,021,074,329,250,
008,435,233,873,069,412,526,550,185,140,169,260,755,052,073,947,414,207,280,
183,465,907,481,864,877,255,320,966,418,149,921,097,084,768,600,243,712,965,
460,663,135,919,851,913,197,297,577,155,541,424,422,467,035,780,579,122,913,
719,657,043,689,025,673,296,941,809,173,794,267,890,364,022,457,131,216,018,
478,354,662,402,252,014,512,924,755,881,069,826,815,871,271,015,502,954,675,
241,052,333,679,790,853,215,074,146,377,204,870,653,512,596,477,222,583,030,
668,152,098,964,058,306,766,578,205,412,216,083,373,965,680,927,664,462,403,
170,797,774,137,688,362,163,383,572,072,511,623,311,920,324,792,703,961,135,
942,324,721,869,083,862,374,295,149,293,909,701,657,723,548,559,051,589,626,
609,180,692,544,619,413,502,581,613,737,021,272,590,890,596,753,832,644,137,
293,192,248,139,299,663,792,454,370,412,386,655,474,131,892,379,646,807,202,
266,757,463,683,463,594,115,407,023,685,099,188,708,052,292,581,281,491,229,
181,407,300,447,440,077,139,693,840,038,936,745,247,076,339,471,889,026,407,
237,705,173,518,716,093,312,229,090,105,685,081,158,104,659,732,663,023,307,
686,492,384,235,743,456,130,210,377,272,628,237,974,122,245,704,845,906,665,
562,928,738,845,445,947,067,756,987,604,946,320,245,897,280,324,683,169,241,
068,165,357,987,230,438,142,527,549,237,289,095,194,358,222,004,313,096,330,
049,058,165,666,467,987,478,304,599,302,954,705,408,767,105,737,812,933,649,
091,614,485,544,166,120,746,015,466,551,269,746,228,580,995,798,047,156,490,
620,868,652,944,873,993,454,620,286,584,151,037,555,207,896,607,900,165,523,
413,784,219,260,786,372,846,987,690,118,004,687,764,807,236,847,728,381,172,
850,154,195,762,666,360,900,070,371,973,453,667,905,289,648,814,615,977,610,
810,557,795,932,363,999,687,588,939,339,052,054,344,841,277,797,968,683,816,
544,260,227,124,491,727,714,875,122,635,282,822,206,677,429,311,650,472,061,
080,045,636,219,399,161,398,486,321,661,688,830,817,778,784,798,342,212,606,
535,878,060,423,863,069,756,734,039,388,642,079,648,292,899,221,939,103,651,
919,351,636,766,226,946,737,096,207,567,432,300,659,727,861,866,016,759,686,
450,738,772,485,101,701,989,916,239,874,226,929,538,795,232,648,204,835,382,
886,421,259,862,574,298,684,065,732,229,599,838,740,648,293,620,516,018,998,
870,618,825,218,878,329,095,677,436,773,934,256,595,694,513,030,857,065,729,
281,357,990,160,675,697,818,755,739,700,222,530,092,483,876,476,439,020,700,
751,179,931,276,206,132,627,087,051,620,119,977,746,804,569,018,528,943,221,
471,701,449,310,978,533,226,003,224,019,502,039,233,018,498,407,567,055,160,
686,753,275,653,137,586,371,458,855,726,965,196,244,892,139,748,791,193,739,
726,539,075,674,684,271,350,334,309,950,417,642,568,043,645,281,057,957,580,
361,619,565,665,765,354,256,032,924,297,962,234,240,928,102,644,578,440,030,
097,166,093,913,073,323,213,227,238,657,666,291,185,541,728,158,090,797,626,
541,439,465,466,107,950,677,655,061,076,474,273,869,106,345,867,347,922,907,
371,814,767,102,027,901,451,072,744,335,888,361,182,976,068,399,326,300,773,
319,091,276,313,540,285,233,584,836,101,146,973,069,325,330,461,057,551,189,
221,224,014,734,836,085,698,197,554,807,144,842,385,209,132,009,926,068,529,
038,523,515,599,400,745,276,927,382,196,470,318,049,673,729,757,001,379,986,
645,032,449,342,601,276,005,199,556,187,302,904,204,380,590,575,291,194,127,
334,671,518,956,655,087,849,452,682,975,383,887,293,719,121,961,433,142,544,
232,007,768,610,389,454,322,407,546,365,369,932,054,817,937,749,014,263,105,
250,509,208,275,212,136,906,571,189,796,414,487,901,879,094,425,250,825,446,
298,954,095,018,652,383,981,162,322,048,270,988,876,452,620,260,768,512,777,
207,850,997,981,562,070,982,644,821,875,698,693,994,050,553,378,324,626,576,
900,671,324,712,503,108,729,151,657,336,634,507,037,961,451,662,074,879,421,
654,540,410,211,634,081,415,308,960,339,363,842,705,761,361,152,844,953,263,
090,376,386,762,306,620,101,430,831,637,112,061,762,505,340,197,727,141,677,
889,820,611,227,316,235,968,851,032,417,451,828,186,009,469,118,026,492,127,
650,107,327,825,824,456,899,503,730,937,658,284,482,624,823,066,666,551,595,
843,025,123,828,300,227,527,840,859,700,634,359,965,758,745,359,689,649,973,
052,946,285,804,137,745,355,566,217,844,475,702,539,384,743,558,102,710,866,
462,281,384,667,989,729,593,210,831,286,229,713,135,086,712,007,246,003,973,
544,475,539,862,527,717,468,829,532,374,890,496,195,174,508,515,889,285,617,
329,459,718,569,994,460,895,874,498,615,619,593,644,646,037,138,107,049,518,
809,586,047,112,506,066,133,367,808,359,691,896,248,376,660,253,186,601,058,
085,135,035,171,558,780,484,867,158,440,593,408,897,861,772,143,558,439,733,
259,321,979,361,111,804,024,571,237,252,324,851,009,547,116,741,293,620,286,
266,869,438,537,910,123,937,480,075,954,482,346,651,128,419,178,014,949,264,
061,973,565,796,542,764,567,904,493,506,627,663,660,633,304,326,991,979,323,
046,040,927,023,311,834,071,649,149,670,345,738,635,922,750,580,933,601,951,
063,754,412,734,891,724,489,453,109,931,608,262,425,456,257,441,093,966,717,
336,640,367,093,381,700,771,822,179,641,384,121,080,344,277,619,816,838,870,
274,212,823,740,678,282,124,124,859,142,268,246,817,636,600,815,281,605,498,
671,679,666,331,806,078,154,761,082,163,221,419,775,622,134,164,280,334,676,
454,897,648,436,091,328,438,600,666,049,178,643,474,414,071,839,905,017,692,
241,439,654,341,474,522,051,045,100,906,049,078,673,264,721,598,622,513,892,
076,197,242,335,426,989,946,777,241,985,950,616,019,475,815,719,411,250,482,
676,916,785,899,191,727,644,366,493,366,477,896,153,891,398,810,752,600,782,
905,640,039,457,347,367,588,560,498,867,390,293,202,372,262,757,773,198,880,
577,576,206,328,668,456,955,516,758,679,290,115,998,468,039,771,352,048,002,
841,901,983,942,657,953,618,612,462,264,993,833,984,091,541,167,900,494,070,
465,829,778,927,582,185,725,909,595,420,361,005,155,722,898,049,005,993,059,
400,671,414,849,478,067,368,801,338,049,297,932,129,955,686,893,779,758,274,
791,708,313,102,561,457,361,006,838,997,304,977,613,726,386,636,378,421,064,
987,727,816,134,048,508,834,881,001,835,634,308,448,242,402,369,407,060,914,
936,490,266,779,820,373,483,802,904,309,959,403,678,305,497,531,656,063,251,
690,065,042,226,109,180,015,375,757,877,987,276,466,358,767,131,834,485,144,
715,876,792,477,996,169,903,687,082,481,461,386,474,944,013,587,144,106,584,
948,200,578,273,642,365,243,542,986,114,179,582,646,151,022,447,058,808,672,
654,966,382,341,461,405,956,245,017,304,954,407,522,718,840,189,765,829,522,
763,119,630,697,239,730,370,021,166,190,267,188,833,071,737,388,194,047,028,
578,038,132,086,372,736,842,296,595,324,100,413,636,615,015,427,976,079,894,
218,643,510,363,368,594,905,734,474,879,347,382,705,170,775,026,307,495,995,
607,866,107,747,545,059,426,493,527,719,196,839,247,180,138,740,717,413,136,
749,804,181,453,497,829,544,648,136,419,562,116,128,104,665,668,586,542,590,
414,764,742,777,320,382,864,534,658,334,525,514,144,686,239,869,211,157,782,
052,241,849,172,689,621,862,848,860,778,537,477,599,504,307,064,645,402,348,
572,579,915,467,434,999,381,283,536,174,778,300,849,932,118,699,728,383,249,
165,847,258,393,976,678,449,716,555,418,502,722,151,353,317,189,541,099,478,
172,165,093,894,865,396,693,538,883,423,382,564,524,873,655,039,164,545,642,
640,056,216,530,922,744,479,771,577,758,620,458,442,514,901,431,244,781,502,
324,272,826,806,423,254,699,044,302,463,192,558,486,235,901,599,388,542,990,
691,542,728,102,310,056,413,215,563,537,127,898,673,382,905,884,625,883,366,
191,029,631,828,226,440,704,843,380,626,650,987,765,467,221,641,132,764,202,
566,166,605,347,524,550,107,492,332,636,250,269,272,414,526,781,121,400,801,
108,285,933,371,292,474,432,660,497,145,622,372,669,607,364,493,614,400,991,
877,825,981,659,167,973,347,595,785,127,268,824,173,778,855,982,822,589,269,
598,588,559,093,471,288,051,436,853,522,412,942,433,702,592,997,566,682,735,
546,666,123,114,736,158,457,520,918,606,561,385,330,392,988,873,769,260,557,
595,967,709,971,919,612,505,002,513,841,508,378,909,687,654,064,796,836,121,
229,865,552,624,826,489,815,139,589,004,157,008,856,518,637,020,939,900,273,
128,972,412,713,695,872,512,354,053,505,357,466,373,437,092,225,694,779,948,
397,284,522,471,416,484,279,486,698,585,014,730,772,377,329,236,337,052,375,
832,230,645,252,086,012,761,334,543,834,084,898,798,408,300,458,995,344,363,
911,031,164,427,431,879,745,200,355,174,489,976,722,009,160,372,498,523,655,
616,445,510,114,109,835,443,431,020,443,468,544,794,990,736,638,628,386,600,
647,922,302,981,542,886,257,992,667,952,324,459,247,269,748,574,224,559,620,
126,798,173,902,337,604,490,242,156,758,086,518,143,236,649,174,082,759,248,
267,470,521,396,686,513,846,625,081,591,585,895,698,401,584,024,508,030,356,
683,769,869,822,142,737,329,986,430,148,537,549,364,324,093,655,918,266,463,
781,528,939,339,436,388,444,848,511,678,848,486,626,678,296,331,548,686,742,
067,464,236,488,520,866,982,258,706,717,284,407,296,756,060,702,171,850,869,
905,727,336,509,303,547,068,547,264,821,368,707,953,922,405,366,200,608,832,
681,104,483,667,829,062,895,179,722,747,118,605,347,362,489,076,202,826,334,
488,646,965,236,535,016,506,893,633,063,767,821,758,291,857,982,241,710,750,
812,679,373,284,057,732,947,467,168,648,610,335,708,515,112,908,781,632,638,
970,573,320,476,940,310,910,979,133,620,936,013,240,430,125,963,403,603,970,
467,374,673,130,247,173,824,904,419,837,070,537,029,784,062,470,436,995,010,
186,199,504,503,165,682,205,426,624,692,293,240,905,443,087,292,211,140,691,
834,991,346,100,565,596,051,685,080,633,841,246,641,020,044,291,079,437,041,
427,293,303,071,265,911,388,935,623,058,187,324,560,033,140,027,474,014,950,
486,351,348,217,666,435,947,004,580,581,145,478,361,625,660,405,952,496,006,
644,325,017,444,826,890,287,718,113,530,587,561,672,049,785,083,226,312,112,
148,838,774,271,758,427,013,736,945,049,312,502,608,488,824,474,446,546,665,
385,654,190,645,434,234,706,845,698,701,082,043,078,481,436,242,459,828,604,
609,945,592,825,178,782,619,580,066,917,618,774,576,533,273,703,583,423,100,
100,822,929,750,745,786,937,389,852,082,170,765,336,743,674,648,240,196,756,
707,101,844,773,382,279,842,343,642,050,378,806,552,328,344,671,681,090,593,
051,057,401,019,648,000,861,677,124,154,903,998,835,130,672,760,000,532,711,
516,506,661,080,310,254,625,365,314,682,381,705,014,021,902,350,135,432,327,
258,550,355,839,873,617,457,282,705,185,542,703,360,659,147,974,443,167,950,
269,906,795,701,154,488,615,422,803,955,305,957,071,774,039,764,723,022,750,
681,543,358,901,799,039,172,463,500,622,710,795,960,497,476,952,042,983,818,
032,313,064,741,229,747,466,795,258,948,521,714,829,911,028,551,823,420,256,
785,896,304,849,565,994,698,253,291,747,002,776,705,377,126,381,665,849,133,
898,595,345,775,740,985,668,431,851,876,124,688,609,587,788,325,467,771,982,
459,612,365,597,157,826,049,427,274,550,005,740,563,822,210,423,857,460,943,
632,063,375,737,967,659,363,077,291,139,784,673,998,604,886,003,312,985,898,
035,121,608,771,718,871,523,476,092,492,885,283,704,145,169,445,298,001,468,
908,631,874,399,461,785,436,142,920,824,532,829,689,560,144,260,083,677,900,
715,966,822,234,652,089,890,730,623,722,639,034,058,504,908,703,427,096,878,
136,119,977,213,479,186,018,810,070,307,169,762,192,441,555,796,621,623,773,
773,350,584,456,434,662,182,592,087,306,378,806,730,445,737,624,765,962,694,
721,207,427,563,710,648,190,595,883,899,250,747,851,419,308,985,858,613,461,
354,317,292,579,270,496,841,594,953,526,937,648,088,732,978,890,096,440,811,
447,308,502,287,149,561,742,340,664,168,373,192,812,237,054,749,572,389,645,
410,092,080,272,895,846,867,040,892,953,530,625,876,859,236,602,702,321,345,
554,962,863,429,465,803,176,719,590,499,350,664,226,088,288,853,150,873,023,
107,062,658,056,412,395,900,839,550,914,092,891,347,100,616,246,043,453,881,
357,753,675,925,141,627,966,819,779,325,332,719,762,777,401,181,407,630,359,
631,705,796,402,420,726,571,777,302,208,090,670,492,595,967,134,464,920,802,
433,628,453,336,467,021,877,811,152,477,144,012,941,876,029,151,128,941,706,
790,521,630,936,452,038,366,588,134,295,956,061,601,838,205,432,720,739,934,
130,686,309,026,482,931,434,877,740,190,962,616,994,470,313,804,442,166,976,
022,191,427,123,141,149,981,333,636,805,399,208,202,687,175,385,817,307,745,
054,367,207,937,203,118,585,053,745,095,543,088,716,050,331,005,125,827,110,
737,052,557,169,699,745,230,524,300,557,001,405,543,962,647,488,014,678,624,
501,202,548,080,746,204,464,915,451,617,054,737,264,538,145,205,109,714,712,
828,637,753,617,099,015,554,658,994,667,431,112,341,205,130,537,434,236,929,
286,438,630,140,755,687,563,663,622,999,276,734,673,684,871,412,780,406,212,
840,069,703,031,108,798,868,122,215,780,712,907,391,540,220,201,927,292,738,
559,369,581,355,844,212,704,699,514,192,198,495,444,757,540,900,082,814,270,
155,056,976,576,607,071,085,521,590,796,300,540,629,469,989,167,778,394,140,
501,118,298,062,906,426,559,078,911,455,972,432,386,471,590,637,018,583,158,
711,416,145,761,953,559,108,950,693,280,372,037,209,339,506,510,673,447,326,
490,102,761,995,132,337,217,356,459,039,352,441,056,839,935,840,242,274,616,
291,742,991,762,284,089,762,103,536,429,317,073,691,031,566,048,560,071,127,
877,342,271,212,458,863,148,048,247,250,602,556,288,217,755,745,172,731,880,
644,313,678,411,069,335,603,162,733,461,917,128,583,478,302,555,891,948,904,
334,654,121,765,235,822,531,490,865,494,243,964,891,111,989,576,005,574,280,
706,595,174,338,153,789,277,320,100,272,112,357,110,877,613,397,706,981,525,
966,726,836,584,602,857,149,480,397,527,028,412,680,694,548,471,474,117,533,
524,004,669,981,639,873,075,659,105,594,846,913,710,511,618,240,659,609,189,
078,876,812,925,560,250,671,125,010,194,918,980,261,955,840,426,252,229,671,
738,323,208,511,835,796,028,390,066,953,109,331,108,453,973,830,946,491,766,
285,168,140,453,860,674,093,752,155,768,218,153,726,955,508,521,423,793,402,
435,272,698,677,392,222,994,053,553,046,919,413,920,418,803,059,552,546,710,
857,782,549,069,019,336,194,864,478,173,189,429,448,489,104,748,161,836,579,
306,918,128,451,682,162,146,544,956,221,874,330,708,260,916,696,081,569,241,
061,173,272,842,151,400,941,317,256,890,069,134,832,760,807,433,418,198,921,
484,474,587,678,403,556,659,448,914,104,085,188,836,223,855,099,148,563,621,
546,899,286,254,866,754,060,340,323,646,569,550,899,219,594,938,730,034,605,
992,444,573,165,349,735,590,180,522,436,265,995,555,966,477,197,100,084,386,
782,749,760,537,877,715,257,893,890,279,083,885,318,125,329,708,540,997,177,
595,084,502,023,980,084,752,710,060,797,622,501,625,924,691,878,386,311,603,
399,605,735,164,677,975,551,114,054,564,062,448,120,685,803,133,535,842,958,
186,139,842,067,162,363,547,851,979,359,102,746,286,311,425,292,089,535,529,
265,219,288,698,960,303,044,514,019,873,081,626,273,012,464,589,561,642,514,
575,816,385,051,702,014,578,194,699,922,476,312,665,319,384,186,703,291,766,
903,957,609,911,747,878,993,716,118,002,375,081,263,917,442,298,151,723,134,
101,244,563,425,574,809,977,079,716,180,781,436,250,601,815,844,711,014,591,
075,383,607,740,679,976,072,325,799,771,860,404,306,111,237,095,808,758,957,
162,686,784,948,188,198,962,814,496,523,460,113,651,018,566,611,340,997,238,
647,782,851,721,555,519,429,163,092,687,852,591,876,991,040,424,552,318,513,
996,809,747,712,930,496,427,956,197,220,382,102,751,405,928,540,985,925,199,
942,623,876,524,633,868,532,210,757,923,898,718,077,745,370,570,023,326,503,
805,767,279,700,313,705,020,496,788,972,728,468,748,304,380,801,854,367,899,
276,380,236,557,822,479,067,938,378,507,306,089,276,443,248,203,647,593,356,
378,568,163,961,302,580,272,929,373,299,058,948,236,159,458,551,491,420,899,
669,590,996,034,051,243,696,538,591,157,349,098,988,031,917,721,925,110,949,
586,417,680,710,361,241,161,902,449,927,043,947,373,336,816,114,525,454,698,
474,184,519,850,156,853,591,519,414,763,455,212,195,031,865,575,789,454,973,
349,019,228,600,841,212,738,449,571,791,810,190,490,613,792,655,173,407,839,
205,134,986,762,005,560,026,925,300,171,249,144,731,011,673,848,595,227,812,
130,259,190,104,701,946,552,580,007,737,196,824,835,259,370,588,040,139,313,
047,597,635,370,031,152,946,538,031,020,735,782,336,690,262,838,870,643,486,
702,304,760,485,595,646,076,809,250,095,702,585,296,646,856,802,574,003,299,
934,604,087,896,103,576,196,159,379,748,380,850,733,104,008,296,558,460,806,
786,421,381,737,966,359,365,249,455,294,920,207,710,042,855,450,321,367,565,
414,060,096,563,492,441,318,957,018,778,653,267,461,631,542,534,583,103,753,
468,431,313,522,456,148,630,416,514,726,016,609,689,453,499,452,024,800,039,
516,582,156,096,864,038,106,159,865,648,573,559,196,690,024,322,468,497,492,
256,664,095,250,577,956,090,908,109,778,678,223,982,592,762,569,989,455,939,
849,851,642,666,847,387,588,691,251,219,640,404,062,339,785,568,129,301,250,
321,007,152,861,768,073,149,984,726,775,865,854,003,476,894,987,187,317,182,
352,476,253,602,347,954,035,588,830,790,324,806,076,691,787,463,179,857,227,
617,609,281,116,345,469,188,253,067,608,118,910,795,111,995,445,930,831,011,
363,451,518,865,832,773,638,219,791,275,154,026,922,622,314,839,666,504,461,
104,181,655,334,997,496,913,425,024,433,179,309,067,294,232,982,866,271,730,
012,627,642,049,697,490,435,277,149,891,556,210,625,901,205,491,410,385,488,
879,373,408,824,492,035,577,867,627,131,488,477,654,632,603,356,713,284,793,
499,682,810,615,780,519,646,953,431,384,324,236,831,562,502,719,518,023,871,
739,170,850,041,424,816,959,576,273,476,008,728,606,310,860,661,664,493,994,
425,767,930,001,998,161,348,161,039,458,097,822,243,918,925,729,947,895,241,
627,804,883,685,224,300,280,026,073,978,777,955,689,089,194,074,105,995,140,
331,329,160,486,719,286,883,504,343,458,056,717,270,410,015,544,202,478,198,
421,946,380,606,243,465,342,171,714,763,807,021,885,002,501,267,267,542,210,
347,893,304,406,482,360,377,289,028,459,332,823,473,444,139,480,431,122,715,
003,146,217,969,964,894,494,279,263,793,698,968,158,761,936,758,349,760,929,
341,250,888,558,071,612,045,978,475,635,961,452,373,439,262,728,888,658,168,
118,974,331,761,682,018,313,537,668,581,596,869,034,119,098,939,471,607,157,
945,069,834,122,862,901,341,464,573,935,795,331,603,973,406,703,602,335,850,
955,232,841,950,945,427,790,441,714,583,894,849,812,271,697,893,888,463,954,
336,025,671,121,054,005,653,584,022,628,922,281,226,421,407,562,792,606,729,
922,389,001,663,507,835,759,533,763,052,050,201,213,405,525,763,234,505,431,
908,524,010,060,480,340,520,212,975,198,908,751,903,237,956,869,297,713,498,
518,120,789,621,182,342,257,578,905,361,333,268,273,467,564,717,225,781,827,
465,102,155,824,692,688,935,285,258,118,159,347,243,797,263,170,220,403,398,
079,368,131,522,813,132,572,109,468,088,963,651,864,775,214,820,905,349,737,
880,990,914,889,375,384,586,053,738,135,931,763,154,186,942,506,585,194,175,
524,508,378,095,651,260,470,554,271,406,494,747,236,908,796,797,457,737,248,
123,400,666,922,110,266,406,175,859,175,906,530,430,851,283,911,685,412,295,
208,889,319,031,111,943,828,241,801,837,733,092,376,934,545,755,038,985,514,
620,505,010,918,891,692,679,439,135,182,122,435,786,077,656,160,254,895,131,
146,345,621,506,076,479,613,826,225,655,669,227,372,161,746,954,207,413,203,
704,026,256,040,132,041,979,929,539,524,246,549,796,521,375,911,680,081,939,
484,651,936,911,334,971,291,372,885,255,377,839,794,736,563,973,173,567,823,
523,608,181,312,985,915,770,267,765,613,827,729,052,256,914,577,947,417,641,
576,931,094,360,997,954,012,552,738,602,504,565,967,930,344,736,042,574,861,
313,060,513,657,235,999,609,485,960,777,094,214,421,500,449,212,928,945,580,
717,060,183,650,217,589,715,893,188,159,024,234,932,401,983,432,969,491,571,
513,658,137,604,458,634,278,709,841,947,903,749,540,908,246,675,662,098,135,
377,114,274,583,597,767,946,198,258,600,436,935,495,740,686,712,514,324,228,
761,974,273,806,718,802,677,020,334,244,250,235,789,446,352,408,325,952,712,
513,881,798,315,242,371,741,512,917,252,505,993,720,250,996,842,016,857,174,
367,643,689,731,609,897,340,498,481,887,786,417,037,750,186,354,505,917,597,
579,340,768,137,962,092,948,020,000,359,657,967,535,010,524,963,167,356,108,
689,225,173,650,514,009,583,695,456,363,529,366,491,796,168,116,166,987,910,
383,418,072,196,536,476,514,760,713,169,276,725,623,762,983,076,093,719,901,
211,491,853,563,647,135,194,406,342,968,977,074,023,727,387,506,968,256,532,
887,829,041,140,544,725,707,797,842,967,329,425,935,774,306,440,519,104,311,
564,304,894,176,646,536,619,406,292,000,992,117,005,861,157,179,173,863,502,
012,592,905,802,403,764,147,548,946,401,046,202,386,067,154,628,363,214,708,
511,857,904,337,008,457,404,763,975,157,368,202,424,366,102,214,601,890,502,
431,583,364,037,681,802,877,665,979,467,785,184,923,331,130,153,786,833,040,
381,177,955,291,294,410,568,041,227,142,503,127,984,880,138,092,318,105,246,
218,021,805,501,785,403,459,975,304,010,066,487,513,412,716,288,194,934,950,
104,762,779,546,903,738,793,018,961,742,685,011,871,816,215,717,163,132,965,
142,055,478,847,519,083,615,340,711,406,281,265,967,900,298,051,973,771,934,
953,374,272,610,806,947,422,640,302,590,841,850,285,128,558,209,196,452,892,
999,087,092,728,599,778,264,644,689,274,810,763,770,147,489,355,878,579,117,
409,403,158,032,006,229,411,283,853,782,240,121,028,190,155,441,035,504,825,
966,324,926,910,425,512,434,871,450,123,634,671,010,222,133,674,776,300,985,
514,334,555,418,973,673,022,717,832,263,039,653,014,606,017,568,252,854,813,
195,428,866,105,171,784,541,231,308,492,081,489,110,522,886,134,493,857,147,
545,617,554,153,298,882,741,487,069,169,330,039,568,188,784,283,353,660,992,
291,104,539,151,937,257,254,513,510,979,173,327,362,984,356,000,455,697,880,
265,905,276,878,897,809,319,100,057,787,473,234,973,528,922,456,951,881,035,
368,516,179,663,556,572,465,104,041,014,053,578,365,953,760,529,494,378,368,
550,610,732,625,710,415,811,722,547,516,151,844,647,175,347,656,847,328,953,
082,320,800,534,720,894,205,339,151,993,048,649,885,464,479,540,432,494,017,
186,950,085,669,504,867,120,016,285,788,810,479,041,835,447,283,042,199,042,
719,661,464,424,532,993,319,807,582,619,290,693,504,899,850,623,756,868,280,
178,823,234,889,824,123,789,832,601,649,343,125,460,476,329,585,084,686,494,
223,620,981,111,430,659,639,445,639,247,935,658,091,240,585,482,827,812,282,
698,650,057,891,481,110,986,726,541,532,649,123,400,636,546,891,522,800,847,
653,455,235,387,948,295,326,560,684,174,489,747,859,459,943,069,062,824,158,
024,292,227,988,179,321,520,576,206,329,731,958,493,173,335,815,478,903,686,
344,110,182,686,971,316,964,977,667,275,174,225,139,091,943,771,036,875,127,
954,957,962,342,456,640,482,379,076,870,042,217,934,746,652,898,067,645,733,
443,104,947,144,175,423,839,811,995,079,301,668,878,000,129,887,221,743,332,
963,985,215,300,708,995,849,211,577,500,594,754,866,971,665,055,265,595,979,
060,410,318,067,619,436,908,804,027,291,440,408,770,286,513,952,618,247,402,
834,958,557,533,242,682,084,453,830,222,622,258,112,144,084,812,327,320,273,
578,468,610,294,736,762,579,400,882,897,317,177,427,194,424,149,004,864,762,
156,930,146,866,591,572,296,646,802,228,365,880,246,032,378,256,561,745,398,
389,651,025,538,898,417,238,848,883,705,343,275,702,221,372,161,627,434,854,
667,323,791,307,374,225,580,026,560,877,963,907,194,765,224,091,412,055,185,
967,544,737,845,762,449,593,232,452,647,593,743,033,590,917,901,712,558,080,
147,201,773,037,472,705,520,045,003,780,992,562,895,988,094,879,971,172,160,
641,697,176,817,265,847,653,751,068,630,366,310,338,932,334,919,895,798,399,
363,232,624,838,627,481,044,724,703,263,721,431,456,934,191,682,311,264,111,
060,213,688,188,442,747,839,429,726,451,173,755,641,529,856,448,942,425,351,
019,850,380,851,582,794,140,256,529,645,187,942,682,263,865,545,792,780,227,
987,663,819,382,440,124,939,283,638,077,638,950,072,979,510,598,610,934,757,
956,290,850,725,568,505,334,690,799,705,130,906,578,362,245,617,187,077,014,
079,533,282,587,907,337,896,002,799,733,127,783,140,625,681,915,543,393,862,
867,495,608,592,777,009,131,680,414,876,588,252,330,639,845,963,135,635,350,
091,997,838,212,676,640,450,676,930,529,257,796,694,348,690,348,659,269,424,
687,900,902,029,987,755,745,604,531,151,889,094,575,849,851,869,281,470,659,
565,125,380,403,627,282,333,932,721,177,748,603,110,467,404,796,174,934,153,
328,599,621,933,109,236,100,359,626,937,795,136,576,685,440,116,700,568,247,
631,709,792,162,724,552,506,197,491,588,386,368,367,185,226,297,404,847,697,
463,557,038,494,199,869,910,826,279,667,847,860,922,064,889,120,964,159,926,
241,748,612,484,531,053,841,832,409,877,205,366,407,792,099,302,549,253,872,
014,148,408,875,703,965,680,720,023,172,461,887,149,173,845,681,445,581,742,
320,938,920,408,218,154,265,853,935,199,310,127,098,282,257,130,749,178,434,
317,851,621,349,448,241,063,429,907,403,757,177,807,029,838,955,017,483,472,
260,742,687,911,760,851,847,530,347,182,635,115,107,662,445,823,149,885,256,
371,762,897,048,498,886,795,078,055,645,216,229,348,374,986,624,590,330,631,
682,915,100,317,457,935,973,970,047,074,393,693,195,829,181,792,627,104,645,
166,628,255,564,787,492,322,808,464,206,974,834,836,298,411,179,372,951,987,
344,544,245,161,090,501,419,925,433,380,968,949,836,275,854,522,797,968,293,
485,501,443,486,070,950,634,099,244,490,037,286,371,112,193,515,963,674,425,
088,888,204,064,296,120,477,409,163,253,959,022,240,579,514,231,881,796,106,
710,854,049,187,036,275,127,741,451,783,548,691,852,301,464,542,215,025,464,
601,427,536,977,661,146,962,055,556,293,235,840,128,468,118,436,086,413,384,
517,168,089,398,154,419,338,123,225,279,851,655,102,736,896,741,425,326,648,
921,103,718,846,888,552,281,886,898,473,911,501,256,692,529,515,887,528,766,
317,853,523,945,739,765,348,367,844,020,548,653,230,334,657,979,550,595,451,
305,128,200,428,199,099,202,326,918,837,026,432,432,944,364,057,685,212,358,
164,017,831,968,405,918,292,213,617,688,414,882,276,096,706,956,629,016,183,
919,976,938,662,467,045,614,081,228,706,448,927,316,571,192,797,266,122,514,
386,476,786,182,541,488,294,909,679,997,519,366,144,392,512,440,716,234,952,
673,220,997,039,076,365,092,814,475,457,250,050,217,626,272,056,132,150,049,
055,154,720,431,203,666,550,272,994,023,593,204,940,135,732,370,732,617,246,
579,597,030,344,551,104,629,539,093,063,543,981,451,834,568,271,230,053,004,
506,582,158,860,840,560,148,305,615,427,296,790,247,337,227,738,354,014,671,
079,680,812,451,791,273,619,165,676,546,707,751,928,961,676,181,917,766,553,
961,513,072,056,272,581,013,610,080,277,765,202,383,717,398,276,802,692,596,
248,977,959,072,634,261,208,825,710,557,514,589,275,832,589,178,155,922,707,
902,807,077,201,319,380,026,775,644,004,272,902,769,278,501,613,105,436,811,
493,047,251,934,150,785,883,237,973,411,442,670,839,381,591,334,481,485,755,
840,418,423,298,894,298,093,914,596,575,294,780,037,519,314,320,785,392,124,
511,376,064,424,240,267,460,784,508,472,319,715,382,237,670,968,269,803,817,
457,051,867,511,067,413,396,404,003,308,720,051,175,875,534,676,736,333,569,
827,653,039,060,474,288,088,937,523,858,518,556,701,432,872,621,009,689,194,
420,322,784,695,463,392,663,539,199,067,850,739,581,500,442,504,177,701,640,
602,620,857,728,061,715,631,660,420,732,366,739,030,278,994,763,822,588,335,
399,966,991,892,867,162,445,686,551,137,335,078,595,080,337,017,633,708,004,
738,221,427,751,194,261,067,213,720,850,990,663,076,115,118,626,318,088,632,
212,313,334,207,148,066,969,296,168,495,044,122,376,720,035,556,985,142,875,
157,921,445,910,310,012,932,119,410,162,782,711,051,817,965,912,594,571,007,
702,427,961,606,910,603,356,518,366,139,768,164,082,500,954,427,467,742,273,
862,234,696,800,319,963,643,197,581,243,273,839,559,646,563,840,646,157,774,
209,110,968,560,772,921,256,917,705,618,019,826,409,325,391,704,181,224,452,
932,391,846,710,648,006,560,454,211,031,794,255,887,949,261,221,114,544,195,
563,777,946,060,993,049,838,038,819,174,069,762,145,075,405,642,166,308,848,
855,811,488,485,624,377,623,078,920,032,068,588,299,453,505,289,891,910,411,
474,970,463,676,814,964,682,273,825,351,437,574,063,488,671,566,166,819,923,
854,908,925,034,004,744,484,415,121,078,901,693,169,721,529,763,653,847,911,
537,394,723,735,217,479,293,612,888,784,122,466,913,413,563,097,060,976,011,
632,515,949,099,209,289,040,648,798,812,220,455,185,726,103,939,688,291,605,
416,385,112,532,285,976,502,059,239,396,411,941,646,426,085,907,588,221,943,
312,584,887,925,872,227,699,641,826,630,544,647,270,837,641,298,975,308,707,
216,870,870,971,503,976,490,793,671,195,354,433,803,118,622,862,819,121,742,
048,944,449,965,620,323,531,717,434,763,132,926,659,154,810,668,012,851,339,
487,730,435,501,898,710,759,549,214,712,985,219,098,825,407,287,605,306,502,
972,594,547,190,664,867,282,589,273,432,363,663,776,299,047,278,949,090,265,
513,193,577,895,832,890,785,982,795,823,742,860,886,757,124,073,221,632,166,
883,465,511,741,622,781,605,973,484,651,701,222,899,337,423,516,834,353,342,
918,732,565,395,244,257,571,997,691,621,560,105,537,806,369,104,107,134,217,
786,664,523,703,662,170,218,240,569,974,580,340,137,313,891,920,889,646,346,
452,520,911,362,582,481,263,227,634,654,397,698,253,532,431,042,644,320,275,
074,445,173,495,140,361,442,923,693,944,162,062,353,405,470,139,080,907,922,
420,380,936,387,264,171,758,140,789,264,267,952,605,350,161,049,371,693,924,
132,086,557,134,598,985,141,951,575,352,728,370,504,137,624,978,441,669,581,
229,663,458,817,979,033,399,364,347,133,845,229,004,078,233,164,798,309,800,
386,986,725,710,927,612,324,851,830,282,674,396,013,366,387,607,731,067,167,
567,042,534,745,067,794,135,004,847,699,175,366,494,506,673,794,560,777,829,
540,374,348,817,611,693,710,241,440,202,805,541,477,560,615,277,129,379,073,
736,454,707,906,633,222,897,832,128,510,466,992,024,870,674,646,524,905,718,
184,545,312,823,900,334,008,974,091,105,763,374,833,854,201,431,931,865,157,
270,127,037,283,360,371,075,486,922,390,357,459,709,672,839,065,887,249,108,
344,458,697,511,634,475,365,897,593,425,573,304,198,032,044,523,610,912,807,
576,903,189,196,161,078,701,914,250,271,839,413,684,653,968,213,458,305,841,
049,526,221,566,198,553,176,748,572,765,999,286,124,708,032,888,709,517,864,
602,757,390,925,904,687,920,385,901,826,457,275,189,290,780,024,232,714,030,
554,158,984,702,206,181,871,175,288,663,042,592,806,118,320,959,885,546,873,
223,404,645,392,153,361,128,438,550,799,727,175,328,154,008,635,902,807,714,
785,859,993,121,283,511,179,943,344,095,269,936,965,041,492,727,974,710,295,
204,094,796,309,013,627,303,021,249,815,139,095,637,202,912,378,561,975,213,
260,540,066,970,673,979,107,853,726,134,683,982,357,058,784,996,439,962,568,
688,471,750,853,893,303,549,180,921,724,627,262,650,979,418,003,217,624,826,
828,857,712,230,440,738,471,649,284,932,924,353,984,654,442,088,594,202,335,
380,349,221,658,116,135,806,500,597,499,162,551,619,584,426,220,470,381,029,
168,610,020,865,071,862,884,856,068,534,651,953,663,434,217,905,496,965,159,
130,427,778,100,730,702,669,650,713,015,797,277,656,977,197,653,280,689,752,
140,108,755,274,029,137,681,054,539,226,111,563,488,596,075,559,795,821,908,
844,661,578,603,272,265,820,956,292,697,308,694,871,431,289,950,924,586,356,
058,504,133,811,494,207,534,911,017,257,933,775,149,371,900,096,389,425,865,
725,037,763,965,063,416,623,322,778,018,696,798,293,774,651,961,293,972,051,
031,909,175,735,976,631,921,804,245,141,459,711,778,960,887,756,911,227,607,
963,456,221,676,796,795,872,442,989,582,147,551,644,319,128,317,316,954,352,
881,005,062,197,668,505,286,991,162,670,936,448,729,746,104,491,774,844,022,
860,678,589,143,148,821,831,922,765,291,693,114,073,717,760,361,206,170,768,
640,173,430,413,326,309,649,954,397,481,857,939,527,369,891,315,348,492,661,
709,779,185,711,930,752,497,338,022,237,493,495,399,390,421,476,379,579,119,
642,274,375,359,024,839,967,106,599,624,918,862,761,991,867,183,586,663,794,
821,645,054,062,744,952,678,023,376,052,277,903,988,051,955,646,781,355,781,
574,773,170,886,413,286,656,028,420,594,452,976,811,669,791,583,344,599,496,
350,233,663,215,435,594,570,467,337,848,793,897,444,878,682,085,167,470,922,
055,479,687,722,147,889,995,785,810,919,429,340,529,394,284,550,702,415,305,
253,993,554,988,050,488,345,091,413,933,335,835,204,032,315,368,046,396,512,
810,661,562,484,382,148,469,144,962,954,494,217,288,720,832,800,854,870,934,
923,603,820,481,583,624,188,311,433,112,891,573,152,330,556,410,407,730,951,
686,382,202,092,810,828,116,840,149,613,892,504,002,039,249,672,384,795,745,
781,813,546,050,679,107,166,552,457,852,152,951,240,103,375,497,985,124,302,
709,547,316,888,418,492,434,988,391,648,561,588,890,142,482,983,836,821,365,
986,013,080,539,376,638,420,786,640,827,036,342,497,834,611,247,778,276,082,
471,304,532,282,062,553,743,730,666,521,532,546,127,675,123,044,020,708,304,
520,714,813,645,158,087,075,705,200,780,446,790,466,099,607,214,024,645,822,
347,977,448,602,908,013,196,592,099,391,640,169,915,453,878,934,514,815,345,
390,995,833,862,987,978,785,311,737,109,763,890,070,330,840,421,958,779,454,
745,753,109,833,635,449,070,299,557,218,300,260,631,004,577,398,604,748,755,
481,915,580,345,365,513,617,449,702,648,007,976,906,942,580,147,105,604,305,
126,338,354,383,515,521,421,803,568,951,935,080,090,864,937,666,595,009,785,
102,313,595,656,057,424,237,290,587,816,221,110,391,404,757,280,152,194,044,
729,754,199,890,824,980,411,067,710,260,728,997,222,650,773,842,183,200,382,
558,146,316,651,502,782,520,330,856,971,337,291,778,948,300,315,551,440,467,
725,815,563,321,934,574,474,697,033,389,178,424,712,828,695,254,306,703,091,
864,863,905,266,495,617,279,782,530,163,017,069,361,321,415,032,440,872,974,
593,648,266,987,136,330,947,169,434,781,558,825,759,759,293,424,344,699,046,
602,689,825,193,383,703,074,308,970,317,356,594,791,080,110,559,171,781,947,
816,961,124,752,584,113,619,696,235,839,904,393,512,338,999,998,592,807,995,
068,701,349,711,494,269,657,642,907,065,886,517,047,900,881,612,803,706,501,
492,826,658,015,494,476,605,094,381,995,087,863,438,159,247,724,029,473,290,
586,584,959,734,171,232,920,953,182,539,785,519,720,050,211,125,196,123,826,
286,410,698,764,928,711,424,125,080,619,806,106,685,206,286,082,330,399,905,
072,497,892,744,020,840,292,447,631,304,378,159,731,584,112,565,512,103,521,
435,693,495,964,623,209,066,264,750,911,273,925,445,549,497,259,684,986,782,
438,823,391,792,731,780,920,492,995,892,666,698,736,760,265,043,869,289,391,
633,609,159,571,430,706,385,585,080,923,758,517,241,408,820,601,481,698,057,
794,368,756,998,781,578,211,651,670,768,009,921,656,349,720,180,039,012,972,
874,527,121,308,148,497,340,283,805,631,116,200,716,455,679,317,264,662,926,
443,162,816,604,559,138,443,370,096,357,233,667,880,068,765,342,256,572,339,
729,092,585,031,657,308,188,966,959,439,712,998,043,911,029,920,888,514,522,
018,140,725,542,694,026,313,636,707,905,176,112,640,928,028,841,788,227,783,
365,663,050,507,902,787,162,689,443,220,985,831,577,903,635,348,354,389,321,
903,558,382,388,089,010,977,222,054,674,861,914,190,754,657,404,122,414,613,
141,985,513,582,152,444,906,158,694,388,777,437,474,785,945,975,973,036,342,
256,063,086,059,305,836,227,162,593,669,349,633,581,345,390,970,580,223,699,
646,370,215,407,348,286,496,519,960,166,069,825,109,691,981,632,763,144,260,
050,760,351,372,359,867,037,783,391,812,688,221,261,605,251,648,816,737,227,
250,110,765,673,670,267,209,075,795,821,204,494,277,069,111,363,889,196,951,
909,222,371,389,877,417,707,215,264,722,940,934,837,732,444,961,841,075,603,
465,165,124,434,727,629,079,051,051,566,514,259,929,294,250,065,422,858,641,
135,957,589,598,791,016,741,556,700,638,037,916,904,325,315,740,303,314,174,
957,881,306,753,837,136,911,386,414,991,497,305,525,690,382,939,869,023,875,
695,012,966,711,690,766,666,922,819,904,472,079,220,994,070,293,924,880,479,
257,995,538,501,489,724,513,510,275,950,873,745,145,579,012,812,398,613,769,
958,963,759,314,602,991,811,581,203,490,971,173,721,348,991,509,667,074,201,
919,238,036,938,995,930,290,110,301,476,348,108,459,723,681,426,685,123,116,
660,345,686,159,001,689,724,725,757,704,269,137,608,880,153,140,500,744,742,
762,245,638,191,757,315,549,737,707,678,794,401,217,039,685,352,231,382,402,
795,552,156,378,929,187,477,695,240,332,191,102,174,364,658,089,349,897,419,
846,089,793,771,543,619,695,360,134,947,712,867,153,830,154,802,990,380,040,
422,493,912,987,997,655,087,221,537,337,603,017,436,268,855,632,233,451,328,
379,205,585,683,066,139,139,007,867,104,514,906,735,742,240,713,320,163,063,
766,135,987,797,640,571,072,765,607,075,012,011,995,273,443,320,810,729,395,
665,115,161,390,754,714,148,327,866,125,046,048,933,091,401,678,000,939,643,
987,293,186,885,502,187,085,246,083,992,693,640,037,241,238,519,739,662,639,
188,404,324,964,457,538,384,535,356,842,264,319,611,708,550,322,570,993,160,
992,261,754,890,089,587,607,079,391,502,385,843,379,992,607,649,675,653,153,
883,931,298,012,395,290,366,988,565,220,191,405,779,173,952,703,094,774,183,
770,194,808,377,935,537,306,398,436,201,111,371,466,021,235,694,520,753,053,
946,637,468,354,567,074,155,566,858,938,150,256,759,096,479,234,241,894,469,
097,681,435,688,572,759,796,954,359,342,506,763,019,958,261,332,298,486,557,
889,955,290,376,658,851,684,936,460,281,842,158,432,194,537,661,085,562,655,
383,481,854,952,165,587,382,863,595,654,134,769,594,076,953,407,435,577,465,
067,007,713,289,195,587,348,616,222,121,418,558,812,985,573,872,840,341,570,
671,161,839,043,355,532,203,740,500,207,334,875,615,032,649,310,086,557,897,
736,313,708,822,432,532,648,658,237,149,508,416,159,664,555,756,188,250,925,
797,681,797,981,535,010,707,603,374,583,780,277,982,039,041,486,746,037,810,
152,100,702,208,612,812,973,983,734,087,661,730,763,994,236,004,723,059,285,
095,853,013,493,991,748,567,746,054,442,239,971,147,213,308,861,592,420,396,
678,535,043,893,761,411,987,306,064,334,763,600,017,366,905,221,900,774,940,
308,591,600,835,887,337,467,119,700,978,170,430,087,670,002,857,530,186,896,
719,865,056,972,839,355,626,905,815,928,910,947,077,198,416,180,000,159,257,
194,084,378,500,272,845,546,926,075,756,076,832,272,531,369,596,577,226,964,
162,644,135,105,195,023,191,096,435,443,221,529,053,454,041,807,894,119,821,
690,218,538,846,456,822,221,254,445,392,737,986,663,248,796,956,554,295,628,
975,868,470,719,308,143,111,470,344,892,794,451,774,996,194,073,139,076,384,
986,874,924,697,243,102,479,937,698,666,094,963,225,483,212,472,211,281,356,
657,332,372,091,661,151,968,386,599,568,699,867,456,087,944,585,532,526,700,
234,985,620,294,805,129,525,036,102,650,330,189,667,057,639,255,556,667,349,
513,520,581,906,667,526,433,263,179,709,292,329,148,768,745,644,050,520,978,
284,653,270,895,243,453,221,299,556,580,853,221,651,383,046,853,125,780,471,
565,760,495,900,367,178,092,205,143,704,859,494,818,762,502,992,303,028,648,
184,527,564,208,584,777,035,686,750,320,480,524,610,584,574,359,766,992,799,
276,731,907,942,817,137,404,880,962,570,464,288,895,775,086,283,197,796,002,
550,768,926,896,021,935,933,120,908,580,914,326,411,445,934,913,562,043,325,
102,806,394,820,488,196,674,187,164,779,980,539,972,966,882,687,867,102,946,
751,956,679,659,393,573,899,963,845,261,189,543,442,552,292,679,663,541,335,
868,577,458,428,300,605,343,373,315,116,730,110,794,393,464,911,757,102,934,
528,468,670,682,595,989,826,754,289,603,030,635,680,006,848,803,957,880,655,
559,197,759,620,810,314,141,236,062,333,338,429,584,330,322,564,420,555,559,
418,898,094,679,157,235,399,279,147,436,067,081,080,997,692,786,563,822,762,
888,930,453,950,033,572,658,061,809,958,153,389,970,197,436,352,965,890,432,
834,737,767,052,836,203,453,169,757,088,866,524,375,038,827,097,561,020,954,
061,290,954,998,055,778,083,595,633,827,635,573,550,970,910,737,076,356,654,
102,828,870,867,369,036,113,510,203,830,450,871,587,637,664,387,396,712,455,
858,569,306,553,228,684,872,038,980,695,390,415,552,991,697,653,697,233,223,
424,573,929,687,946,070,656,376,146,059,713,546,825,311,923,342,929,168,143,
421,427,829,819,485,236,555,748,972,763,348,849,256,578,174,235,277,070,407,
141,239,584,742,461,328,981,744,390,736,155,837,871,014,423,614,965,705,045,
582,305,840,354,539,769,298,534,699,841,164,892,581,301,930,271,118,086,217,
716,799,342,604,671,327,229,385,371,448,006,726,552,196,541,832,565,320,105,
412,498,798,997,310,169,467,228,310,933,011,287,845,248,333,351,735,895,248,
840,558,164,708,388,198,181,818,042,013,219,739,692,442,521,174,424,816,109,
270,317,050,569,250,000,352,003,414,561,628,538,984,753,131,144,775,024,290,
813,779,024,520,637,630,478,064,295,156,485,249,977,178,474,522,512,844,430,
582,227,860,148,865,235,101,415,408,600,702,044,650,983,460,127,606,630,979,
957,706,644,244,870,436,390,828,382,368,041,797,149,161,847,645,364,644,612,
804,601,506,392,465,840,354,554,429,998,775,830,258,558,256,609,263,087,693,
539,266,413,161,441,713,520,323,696,559,047,788,696,339,815,660,293,147,947,
580,488,143,656,957,224,155,700,751,618,558,221,439,524,229,140,324,655,043,
127,334,873,284,941,607,722,457,121,194,085,122,368,021,414,911,970,821,685,
143,164,024,487,330,833,364,663,252,415,838,706,295,016,273,236,672,660,814,
417,868,549,950,941,738,831,855,232,060,298,657,120,618,913,450,404,162,243,
676,571,694,185,408,295,856,910,848,627,207,916,537,204,997,724,525,283,202,
106,960,219,556,052,259,781,161,279,333,333,569,645,778,820,702,159,845,374,
097,603,955,153,083,011,132,734,806,261,096,414,629,564,245,734,858,793,764,
486,203,696,132,034,671,898,181,282,580,780,034,643,016,838,390,607,310,916,
496,794,410,542,792,659,018,817,204,685,959,482,658,260,210,300,057,181,815,
263,089,630,016,358,536,369,027,583,340,052,184,483,666,077,866,212,283,572,
872,938,757,895,846,859,857,880,644,805,004,331,879,843,225,760,894,977,850,
023,415,292,949,115,259,651,243,560,288,641,127,992,618,874,125,756,666,372,
207,197,608,608,098,433,798,218,344,258,348,706,998,741,381,494,017,275,802,
084,505,276,047,333,611,606,310,453,100,567,564,727,858,874,273,570,203,214,
939,163,350,030,081,373,291,458,441,561,075,382,107,132,277,135,657,169,625,
810,452,448,462,085,709,356,623,147,708,856,016,304,318,988,218,320,069,497,
819,375,724,676,646,926,208,317,061,505,904,367,827,264,231,315,664,742,545,
463,575,854,930,575,910,803,944,621,604,198,924,959,894,785,851,803,356,791,
764,638,648,152,568,155,751,690,716,053,113,878,969,138,347,774,032,511,405,
976,154,232,642,415,836,651,430,503,049,472,179,497,281,003,559,973,945,404,
276,792,880,100,433,610,884,185,539,772,084,036,689,602,184,602,881,125,370,
608,622,972,565,809,272,944,480,277,814,066,996,381,748,487,307,130,656,393,
690,235,468,050,669,372,686,578,525,577,983,920,873,849,318,019,603,150,200,
710,533,990,717,891,833,408,273,783,840,450,659,403,083,366,069,819,204,308,
566,083,265,159,768,113,949,048,913,328,648,624,636,829,682,482,495,093,684,
307,572,960,462,744,221,083,866,620,178,216,386,555,816,453,779,517,031,904,
842,760,346,172,097,086,471,928,093,416,916,795,297,356,703,842,135,753,863,
428,631,927,518,451,749,556,431,540,555,012,385,642,799,521,059,199,052,861,
385,687,598,082,176,667,535,727,530,164,280,942,612,360,883,464,705,044,161,
927,149,476,265,777,014,825,751,688,113,375,572,667,323,383,708,517,240,928,
151,701,648,742,385,949,816,636,981,481,400,927,775,104,316,704,808,465,875,
042,979,811,272,388,314,644,157,266,045,912,153,056,751,981,172,495,521,219,
051,314,911,349,917,783,052,362,197,210,046,088,685,353,564,504,539,868,770,
839,875,877,599,226,009,353,077,647,764,606,906,884,011,190,581,676,761,169,
674,611,463,856,209,530,840,231,843,619,193,573,895,722,606,993,843,072,753,
140,001,526,786,078,565,858,174,500,653,365,978,335,820,153,281,415,215,634,
141,316,380,869,872,156,647,551,279,426,520,495,533,451,782,653,038,991,037,
903,191,421,406,949,460,022,200,021,098,471,148,991,201,984,563,466,527,096,
646,549,753,424,335,321,816,422,715,393,623,626,181,922,732,397,176,318,813,
050,621,536,818,927,425,983,799,758,533,317,436,594,560,550,578,277,631,614,
392,129,628,507,074,871,359,260,327,103,500,812,362,356,921,263,937,406,430,
605,905,660,857,957,800,876,321,437,011,595,969,722,113,354,765,343,584,742,
982,693,458,239,570,428,491,478,427,200,085,805,005,989,448,410,583,438,133,
346,254,108,774,215,335,714,141,549,223,189,252,436,465,793,630,232,838,383,
409,097,003,768,224,282,268,917,202,231,794,514,388,141,755,215,580,352,653,
281,035,065,946,292,105,747,826,179,987,641,339,916,619,113,471,767,444,090,
299,210,159,778,419,318,974,150,288,279,462,004,618,508,224,650,068,301,162,
582,177,305,942,430,960,304,192,795,986,947,861,477,429,634,344,763,302,476,
330,256,944,746,590,848,305,064,446,856,301,533,428,766,311,361,336,839,184,
957,951,241,256,505,749,501,528,603,719,795,914,424,772,212,400,176,650,200,
679,174,099,851,351,580,503,602,817,094,593,060,168,881,790,978,276,469,964,
266,634,814,535,499,492,228,391,834,814,284,126,887,265,180,738,684,804,510,
088,788,216,718,790,651,881,252,289,478,258,513,355,941,819,632,888,464,988,
423,142,474,973,373,668,456,112,626,238,307,845,105,933,515,951,176,865,370,
955,765,703,461,267,203,167,938,815,588,483,517,470,925,473,285,447,670,148,
907,319,066,387,949,225,694,353,057,195,188,172,722,607,545,746,056,019,079,
874,540,793,571,104,047,410,450,880,953,696,940,862,594,693,507,149,182,878,
816,811,877,538,185,215,095,035,010,929,629,541,098,139,365,142,121,791,385,
806,542,951,987,150,723,292,968,149,971,396,758,249,676,151,333,748,143,223,
611,138,125,566,723,939,703,704,816,620,044,894,120,659,831,659,963,262,924,
081,643,568,560,680,374,199,576,827,670,014,969,864,848,541,776,717,507,962,
358,695,130,330,165,966,254,595,106,784,654,212,933,831,146,776,297,323,818,
442,083,768,729,070,217,307,543,533,003,539,683,580,086,329,106,054,012,035,
276,056,452,516,441,623,262,335,064,164,688,885,624,227,511,605,433,078,007,
613,303,686,019,068,562,823,240,055,575,139,814,985,180,507,795,572,139,526,
796,198,704,528,782,163,580,110,686,081,676,192,431,109,714,494,380,565,929,
484,211,410,252,833,798,145,752,870,574,302,289,600,014,793,125,166,858,650,
286,520,166,315,939,310,045,905,543,080,564,883,721,045,196,922,118,256,387,
707,991,438,076,520,166,281,117,368,248,849,163,282,433,096,189,512,742,434,
543,202,452,107,404,796,313,416,782,236,497,790,592,875,186,493,538,956,535,
886,785,449,541,933,665,128,054,230,796,664,486,595,733,187,053,619,812,478,
547,718,152,658,335,293,578,672,683,783,664,893,947,863,678,750,309,399,721,
927,384,384,850,697,520,134,842,813,678,837,922,285,958,266,437,170,522,542,
781,451,499,837,137,144,149,170,936,094,628,074,180,364,413,939,865,297,067,
751,958,615,688,409,517,649,714,067,344,710,567,962,668,648,277,170,610,093,
943,791,174,669,893,735,329,624,929,820,606,025,265,677,938,086,725,235,008,
261,018,552,245,890,807,569,299,149,873,079,430,019,643,032,740,803,671,797,
592,096,251,797,950,910,773,624,002,030,152,877,043,122,328,049,588,189,401,
065,615,172,947,843,361,006,150,830,972,198,949,954,885,415,568,152,847,451,
451,956,760,639,548,199,242,215,381,199,148,326,794,275,422,652,668,221,494,
355,182,955,037,510,704,052,669,736,640,918,353,503,194,766,898,280,687,396,
985,342,184,107,967,155,183,386,627,599,153,965,445,312,256,133,256,783,260,
196,495,095,012,177,219,047,742,325,020,130,523,417,184,306,487,371,604,702,
176,294,448,802,463,544,360,618,926,652,919,071,822,139,667,519,298,369,594,
081,843,079,578,235,923,481,507,244,990,984,461,839,025,992,013,895,500,064,
702,285,472,552,325,133,403,082,705,292,296,801,721,097,389,448,462,914,053,
047,851,093,608,657,106,492,867,162,511,719,894,450,501,135,776,431,113,065,
269,706,243,081,861,329,832,266,879,775,372,848,335,480,214,611,476,399,243,
908,557,834,310,890,332,352,682,152,044,510,689,590,490,558,855,037,161,513,
803,249,316,934,756,060,281,082,217,328,094,991,836,080,384,751,849,944,019,
391,480,354,641,864,636,858,583,054,594,099,686,059,157,307,888,677,915,890,
175,575,693,768,583,914,360,362,314,078,017,851,499,546,801,866,604,936,077,
869,694,527,306,822,507,108,587,408,268,918,898,840,670,290,440,652,465,744,
545,507,929,262,052,047,298,188,090,301,860,995,447,263,535,416,359,559,033,
931,641,412,537,676,232,285,786,188,942,459,716,748,185,582,220,553,157,466,
105,345,349,106,163,809,417,966,836,205,462,989,991,352,756,929,946,480,896,
303,845,504,812,056,578,681,169,046,652,091,091,854,168,868,498,533,401,445,
944,724,295,729,096,350,418,930,042,615,392,444,533,445,688,240,448,030,437,
268,317,936,578,174,762,621,157,752,119,460,680,002,829,154,202,875,188,356,
107,449,360,393,439,738,818,842,106,865,311,097,097,364,697,772,249,206,927,
385,162,050,176,499,126,170,438,680,336,392,732,519,902,406,691,579,306,342,
114,324,560,866,938,452,846,151,337,860,764,001,178,781,144,601,485,003,048,
448,265,173,919,134,400,519,178,317,675,782,223,981,517,277,023,782,984,869,
108,474,708,890,121,976,910,794,334,090,523,300,829,518,005,748,972,813,000,
616,851,791,205,546,446,380,753,645,758,527,348,050,798,367,793,567,237,910,
630,574,488,541,680,126,765,226,225,187,927,209,249,088,795,816,767,699,772,
501,384,103,840,077,239,424,926,724,312,988,596,489,730,808,529,764,053,322,
785,521,783,072,061,300,933,147,041,975,427,536,970,007,911,134,584,321,416,
585,274,141,138,983,764,640,543,245,256,916,875,575,987,150,298,372,072,028,
311,012,045,223,809,277,297,985,641,524,085,173,559,333,234,615,978,386,732,
597,806,893,058,855,498,259,816,298,490,471,912,428,634,751,258,293,585,364,
657,492,510,767,891,612,974,891,496,804,354,896,523,352,866,838,304,576,136,
360,546,536,641,893,980,801,360,876,648,520,148,678,160,239,563,278,348,331,
809,068,148,082,698,828,477,346,976,389,051,092,075,201,258,764,667,381,637,
990,111,841,261,870,999,100,596,274,151,122,402,628,015,595,169,106,518,976,
326,101,976,799,795,923,065,747,071,168,485,409,950,469,981,083,548,336,040,
855,274,618,256,954,364,728,789,654,860,043,837,129,653,723,196,375,893,574,
290,436,737,132,964,571,442,969,717,000,633,445,291,852,669,960,026,467,337,
622,432,673,030,582,473,261,406,137,836,379,848,885,360,074,594,894,988,175,
537,564,295,778,518,304,866,396,075,097,315,766,543,957,545,614,641,867,989,
544,856,045,113,651,234,726,378,005,068,460,217,838,724,642,532,068,812,552,
769,048,710,607,642,630,007,189,375,371,796,023,223,549,705,767,738,810,015,
842,271,373,927,603,369,917,307,393,510,278,721,215,398,680,168,084,196,261,
526,530,558,979,356,999,158,378,251,694,162,332,356,947,103,353,564,801,172,
925,704,665,776,160,737,401,749,491,412,020,461,597,477,862,736,063,157,788,
642,793,971,710,911,053,904,108,508,549,399,621,463,080,842,947,034,279,974,
673,719,166,570,489,406,515,245,657,918,944,720,566,221,969,537,960,230,475,
758,352,707,083,023,305,705,866,066,233,711,684,112,912,057,611,640,935,116,
212,733,069,974,265,085,784,365,933,596,069,536,725,475,978,088,747,589,756,
870,116,743,750,812,990,129,284,756,073,755,396,712,650,854,396,626,954,625,
894,954,032,591,541,073,547,123,664,269,200,456,264,164,945,184,477,399,351,
112,415,639,414,321,632,080,279,202,805,927,740,056,276,243,330,399,252,285,
351,196,189,237,456,361,666,790,234,754,460,642,897,422,032,921,317,785,107,
110,890,913,535,092,358,573,036,678,697,374,824,173,108,423,517,452,976,944,
474,309,871,273,149,169,737,175,307,926,445,863,313,418,978,027,218,554,213,
333,156,649,481,501,173,055,788,483,097,511,090,417,909,551,312,051,408,155,
827,630,172,036,144,084,291,206,499,818,040,512,421,586,499,483,787,554,688,
458,751,176,086,729,018,991,372,809,540,709,313,226,425,128,507,239,106,726,
509,910,544,417,150,254,297,653,338,340,333,581,539,251,630,959,774,822,000,
935,209,881,964,043,994,291,101,352,778,447,906,158,269,228,576,825,600,528,
748,041,756,569,673,753,671,272,387,155,092,971,442,296,472,260,058,040,393,
147,706,627,509,835,370,307,367,690,352,427,073,957,537,005,348,771,908,950,
977,211,070,816,927,450,932,032,535,523,415,753,586,010,535,453,086,243,251,
988,271,856,820,377,440,155,833,465,709,152,998,582,208,117,936,679,453,947,
543,972,848,818,585,015,221,159,240,286,147,424,490,426,547,464,188,531,437,
144,717,314,310,013,354,276,985,506,069,026,847,479,091,206,790,616,381,752,
864,066,759,021,548,262,803,605,141,924,672,200,844,822,902,836,456,456,582,
378,628,123,500,667,395,891,371,376,794,970,187,341,308,549,276,810,927,917,
821,644,424,582,390,300,547,802,897,894,767,553,061,217,080,836,279,351,381,
487,352,646,715,604,814,485,542,474,739,841,482,089,599,305,514,681,933,347,
813,217,285,397,375,418,585,305,542,524,617,752,806,394,660,867,537,519,721,
881,883,567,582,856,430,100,639,106,921,711,802,233,762,042,194,266,099,493,
506,205,567,045,537,589,725,792,151,950,210,873,424,069,156,631,148,117,483,
985,558,373,996,538,436,322,080,697,495,937,562,902,531,001,232,538,862,634,
910,967,180,120,399,292,184,441,887,510,906,124,488,357,518,841,036,146,921,
317,242,230,267,949,240,613,175,337,529,079,471,035,846,593,742,011,977,275,
770,044,114,539,544,723,741,950,969,088,115,878,437,297,786,369,126,621,126,
959,150,108,692,238,487,113,623,519,216,299,430,913,073,952,483,355,433,723,
069,521,602,114,614,203,074,567,957,085,663,040,281,794,939,582,070,809,119,
541,857,525,344,425,961,836,455,034,158,825,772,181,384,596,270,775,575,775,
327,056,239,737,384,775,753,381,625,391,540,640,765,624,067,526,787,412,515,
173,714,435,654,069,263,843,761,693,176,773,247,538,658,658,381,501,379,453,
948,601,427,926,258,824,779,197,724,657,887,597,640,238,762,972,173,407,841,
632,594,750,966,666,719,650,851,253,144,612,622,439,808,260,890,665,525,331,
189,268,367,728,888,396,405,818,322,030,425,870,358,915,843,790,658,067,140,
170,505,521,328,023,995,845,468,364,386,915,010,575,214,969,789,991,993,985,
633,422,051,428,225,406,684,904,085,353,117,687,014,484,582,789,713,088,826,
772,256,014,327,994,710,275,706,042,098,598,315,462,288,794,565,558,199,470,
656,996,046,566,725,754,539,812,684,709,343,493,560,631,412,730,487,502,437,
151,733,554,719,642,203,120,912,389,581,280,531,976,801,445,314,884,642,337,
678,470,834,461,528,790,848,175,975,306,508,948,969,231,254,489,331,615,033,
241,049,154,588,809,134,336,418,378,145,399,205,060,977,724,345,736,820,192,
234,695,326,023,815,658,623,943,694,091,563,067,898,359,420,390,075,370,161,
541,898,132,648,062,185,691,734,707,763,810,637,117,844,744,551,063,504,880,
186,495,706,605,678,593,935,153,218,571,750,791,180,707,817,388,298,999,461,
716,675,075,232,534,263,154,033,102,800,416,093,594,762,953,135,134,477,028,
806,793,463,545,980,071,332,009,087,662,194,742,136,047,095,610,763,012,187,
725,702,552,753,769,803,326,112,171,535,270,043,510,099,569,069,285,860,392,
755,554,013,710,813,322,537,366,742,613,688,420,275,591,319,100,964,322,720,
778,128,134,343,860,193,306,642,897,576,420,189,929,078,071,579,726,014,674,
870,933,680,637,679,983,132,806,066,943,263,663,601,010,543,421,597,998,327,
021,356,665,425,596,389,025,034,273,314,119,631,674,423,669,712,440,525,789,
087,810,953,773,867,070,902,762,180,406,876,061,853,348,044,013,648,160,016,
653,280,078,484,428,275,120,722,635,708,863,779,189,972,585,694,383,078,486,
021,107,215,382,579,514,222,446,070,075,290,676,766,274,732,431,394,100,151,
298,719,390,445,125,781,810,059,480,922,541,921,111,537,335,191,390,557,899,
426,972,626,645,691,718,910,529,557,589,883,936,395,320,450,378,472,888,338,
401,600,043,444,700,598,700,136,407,027,503,473,166,291,727,598,808,371,857,
258,142,510,996,500,790,140,187,314,954,731,637,741,301,845,876,383,876,127,
683,836,893,665,356,333,705,159,109,955,478,983,969,124,917,143,600,039,041,
274,127,956,302,815,826,560,540,746,965,050,814,528,861,372,554,428,377,937,
303,079,306,805,620,644,621,648,486,814,019,386,914,055,548,907,125,899,369,
316,814,255,900,025,901,904,748,478,706,324,629,134,221,785,984,840,806,606,
527,456,243,167,448,858,540,670,994,170,092,375,093,971,381,090,248,713,697,
243,062,774,560,603,124,240,406,024,496,422,282,662,919,855,608,227,866,402,
874,719,900,690,509,016,777,080,070,762,406,698,518,602,560,978,971,090,875,
238,544,868,848,621,565,715,286,322,596,463,238,270,046,299,257,521,511,403,
656,220,419,830,365,445,357,386,483,931,757,010,265,629,437,734,271,177,957,
908,787,578,351,463,376,297,099,231,409,269,589,662,289,172,690,544,429,275,
712,050,364,704,364,870,522,359,747,886,728,220,686,325,015,970,627,311,082,
085,563,709,743,421,085,272,049,994,643,995,694,111,245,629,059,981,641,065,
871,909,537,834,221,362,421,516,759,734,345,594,165,341,990,409,173,196,966,
631,177,645,220,432,172,722,960,825,111,228,954,737,950,026,214,187,584,911,
794,904,664,273,806,341,789,304,545,879,538,531,463,200,079,932,964,770,262,
539,744,558,132,208,189,780,642,671,583,160,458,735,975,723,496,066,410,545,
851,247,681,909,192,851,653,431,921,000,814,939,763,944,883,265,513,050,112,
152,771,675,152,505,632,682,598,805,065,109,755,525,196,962,801,955,310,597,
638,004,864,831,036,854,655,535,293,452,596,735,213,723,459,271,890,335,687,
059,402,114,347,461,760,946,375,012,758,362,188,691,472,502,702,101,482,114,
727,001,062,683,506,828,958,740,731,625,161,983,464,225,307,037,637,679,345,
358,052,520,712,555,259,984,269,244,829,353,085,460,093,908,197,889,116,376,
498,020,788,460,553,090,217,056,395,263,930,881,109,629,583,119,299,827,160,
549,729,589,081,850,992,707,185,859,506,144,900,730,096,283,696,333,558,800,
576,853,861,464,813,181,629,081,150,563,652,400,083,606,994,985,318,761,168,
430,853,539,562,024,467,517,638,243,285,556,106,503,515,763,893,587,491,988,
665,772,092,669,226,295,631,725,773,165,746,364,297,948,267,401,764,572,603,
038,053,222,089,511,374,992,586,392,138,852,293,877,207,639,838,870,617,417,
829,058,552,384,788,046,278,609,086,107,305,492,440,384,268,397,052,511,069,
121,526,270,084,420,433,139,828,219,284,633,724,948,895,088,133,052,299,907,
606,434,156,929,769,805,710,645,006,263,182,494,049,225,422,816,498,976,995,
732,169,466,372,663,052,400,293,418,914,147,793,870,010,540,590,122,684,417,
977,812,084,898,432,314,328,526,164,099,059,919,966,623,286,892,054,711,752,
199,990,651,218,508,453,195,559,245,062,233,514,243,412,808,102,109,560,999,
939,599,255,028,082,030,073,498,891,967,087,190,937,926,637,070,914,483,233,
019,439,802,100,634,073,466,091,062,468,557,340,387,890,380,576,746,253,198,
029,163,226,040,735,861,706,245,397,093,637,691,412,622,966,964,359,683,889,
340,293,034,984,520,601,113,990,044,591,189,293,455,119,124,874,830,892,855,
252,605,944,336,904,338,940,242,326,584,060,126,712,565,975,742,162,670,999,
498,238,545,349,570,949,758,484,626,881,680,087,346,946,460,743,036,546,685,
700,112,386,522,878,828,995,458,028,642,302,650,960,987,834,454,970,984,674,
893,204,956,032,220,068,732,360,846,978,434,378,916,722,357,631,521,247,968,
511,705,303,133,667,003,730,206,410,151,637,278,889,354,376,659,414,938,666,
890,083,226,746,395,942,647,062,560,347,573,276,969,951,484,479,973,224,403,
481,403,004,542,638,139,307,263,987,453,382,604,912,684,037,280,376,116,980,
443,215,794,303,529,155,498,546,151,262,886,200,437,125,875,874,306,766,754,
819,664,007,199,296,499,082,665,948,935,876,277,666,014,702,476,191,000,769,
611,881,896,815,147,733,135,965,871,600,030,876,697,441,680,837,211,680,207,
293,136,746,018,302,686,025,700,109,829,083,778,129,942,741,378,141,981,429,
433,365,499,382,319,065,528,852,237,418,541,630,443,202,551,959,348,053,403,
263,142,597,578,946,113,056,408,047,235,441,601,896,223,745,092,939,407,311,
466,605,939,845,577,268,958,154,084,702,073,803,290,407,447,146,371,837,511,
187,057,313,473,968,050,425,087,733,338,546,354,660,076,954,362,141,390,904,
219,447,824,052,175,192,768,552,390,108,774,661,729,866,356,524,147,971,227,
014,051,973,630,659,464,675,327,033,457,316,795,483,818,661,978,311,722,714,
692,362,791,181,077,735,269,755,327,168,632,836,139,398,659,868,792,661,340,
276,715,236,428,461,220,387,608,431,158,811,982,029,705,110,774,585,197,565,
752,034,717,070,853,678,106,974,460,380,416,592,758,309,878,921,005,922,059,
639,647,739,822,309,460,053,725,387,644,657,387,985,376,072,313,612,807,603,
114,272,990,771,452,788,555,826,404,427,654,409,838,805,447,390,172,437,271,
106,955,596,850,247,113,270,622,187,326,257,622,525,458,183,184,485,504,365,
386,094,488,748,698,667,998,281,026,080,402,078,082,512,472,891,986,822,262,
015,312,896,811,707,239,877,945,268,284,583,526,425,541,668,375,688,159,682,
159,548,175,614,800,559,130,819,501,648,291,509,114,540,039,836,606,189,183,
653,215,231,300,452,312,712,037,084,157,464,625,330,561,983,632,602,531,981,
403,913,207,754,823,978,120,122,984,743,430,704,766,157,701,183,020,732,632,
230,988,716,200,480,844,731,191,068,083,425,381,175,670,743,679,776,922,686,
597,293,767,796,264,091,792,779,983,065,860,805,540,362,369,094,914,455,243,
420,571,453,225,936,126,001,089,743,288,547,819,470,942,785,295,829,083,333,
238,449,493,314,093,889,886,734,414,722,756,185,553,033,570,917,106,698,075,
029,620,420,784,967,833,635,582,714,072,059,869,867,925,880,104,426,230,924,
248,306,681,770,069,645,016,028,700,141,134,116,660,214,901,140,508,314,970,
327,537,961,400,962,621,509,401,271,312,680,978,240,088,293,913,479,806,687,
784,221,326,821,414,159,444,822,117,199,780,747,978,678,983,818,956,721,643,
712,221,149,455,510,171,675,288,666,973,122,096,184,752,063,430,002,223,867,
543,427,351,705,670,147,114,524,419,426,767,300,540,173,857,983,514,315,647,
982,885,661,147,074,260,321,096,639,436,428,506,839,476,444,937,149,457,659,
531,673,581,801,753,076,509,581,282,823,195,779,689,511,692,195,247,477,550,
664,130,586,380,292,058,803,504,236,527,473,631,766,302,545,106,939,256,843,
384,386,094,807,471,444,610,457,001,804,389,847,434,747,784,196,606,567,117,
571,059,608,197,977,511,785,053,015,012,965,948,004,380,980,093,356,247,517,
203,060,629,294,664,196,475,705,949,429,392,795,271,121,005,333,363,057,225,
711,578,105,259,187,856,013,029,850,908,520,862,144,347,939,909,630,039,229,
657,915,175,888,340,671,200,330,653,721,173,663,576,667,084,201,757,712,247,
837,860,888,941,973,324,865,472,071,702,866,582,894,008,622,153,321,879,413,
768,745,727,711,397,094,758,977,028,141,797,455,798,220,687,628,124,279,762,
321,097,657,201,602,432,487,596,246,371,122,868,527,549,389,784,544,371,993,
511,823,094,901,352,360,422,829,731,102,981,968,903,727,387,910,658,083,475,
031,113,745,860,499,691,458,709,431,804,186,560,759,130,961,979,672,298,238,
237,169,082,767,038,880,364,859,208,226,015,646,200,554,095,013,834,589,047,
346,088,930,011,139,456,467,859,951,042,781,347,734,885,405,955,730,866,671,
754,307,098,879,563,213,967,642,480,435,602,233,532,812,798,202,995,614,788,
402,870,635,753,800,851,331,251,394,405,045,230,788,624,730,752,814,087,732,
066,539,580,833,326,439,897,638,563,319,228,680,257,830,722,419,582,982,315,
418,681,386,553,309,080,378,374,419,496,390,129,069,386,186,682,739,400,689,
391,115,513,273,763,040,965,917,253,829,981,442,290,414,729,673,028,320,395,
023,290,324,852,182,415,524,586,743,909,280,821,637,159,889,123,323,001,465,
472,322,205,808,593,901,924,099,780,745,628,696,778,208,337,258,893,497,624,
284,192,273,802,641,599,268,171,590,241,839,110,168,474,625,430,961,339,368,
713,693,649,142,537,936,580,861,471,186,550,576,782,026,227,659,988,242,832,
689,014,103,014,057,635,884,163,728,007,917,002,841,105,853,856,492,839,398,
862,483,878,572,570,158,504,293,314,720,830,330,733,331,082,508,389,138,054,
536,758,772,157,863,326,276,384,101,815,784,692,738,720,312,148,742,898,911,
240,248,274,717,625,023,994,854,772,644,400,822,823,331,240,926,545,690,958,
481,212,331,772,994,580,671,326,624,679,490,359,707,045,757,146,986,182,351,
000,102,498,037,816,058,295,830,320,705,465,072,085,785,401,585,298,463,863,
723,990,674,548,694,472,629,624,452,736,938,795,735,970,669,801,913,908,300,
670,948,390,549,384,077,411,443,399,210,811,119,893,470,119,665,319,224,692,
661,499,932,569,526,691,285,430,343,443,747,800,769,336,507,239,747,940,187,
960,402,926,575,822,581,391,586,855,943,677,755,953,966,425,974,752,311,969,
086,572,766,997,866,975,156,696,165,266,647,311,958,335,058,510,624,018,436,
497,955,989,543,689,693,636,641,345,945,501,534,563,411,229,626,887,349,857,
230,614,015,143,300,415,705,115,877,178,794,133,601,582,763,941,955,599,309,
484,786,987,116,208,315,507,687,873,762,362,383,435,107,592,066,231,813,558,
494,863,145,159,787,297,590,185,041,576,188,478,902,952,363,118,140,666,954,
532,969,927,073,894,772,437,599,599,147,780,815,775,102,720,265,095,513,454,
765,488,972,685,413,070,717,539,964,847,951,065,801,344,005,727,040,926,990,
461,700,069,535,423,067,835,880,528,383,826,813,416,536,096,548,396,059,719,
010,399,118,364,428,917,356,785,575,472,366,881,554,358,462,696,952,661,404,
987,530,810,984,859,860,208,138,268,238,954,080,342,711,185,008,202,481,077,
930,562,682,319,665,028,532,636,873,759,056,838,212,570,865,844,280,268,134,
556,716,121,807,888,729,481,986,976,769,336,972,059,539,696,333,979,239,676,
244,678,324,837,860,436,382,710,649,737,845,140,033,334,315,894,317,485,991,
473,870,351,782,861,240,062,146,409,334,274,515,497,117,180,071,256,023,842,
169,793,914,423,925,496,143,159,455,193,356,836,523,040,478,600,165,098,741,
673,149,949,088,810,592,902,474,546,976,070,100,915,514,232,178,067,173,784,
775,476,840,439,810,140,628,824,692,664,886,606,028,392,023,760,215,258,558,
134,746,302,020,513,132,936,208,854,845,187,974,786,188,547,743,232,918,002,
754,161,891,688,763,659,110,700,981,822,318,690,302,250,838,202,641,922,129,
449,413,615,423,680,405,207,810,625,868,780,941,889,714,499,238,313,306,599,
448,467,155,956,075,821,282,646,418,374,103,636,018,398,709,641,483,891,691,
039,101,338,405,017,662,577,229,787,514,292,829,376,643,741,352,823,643,555,
409,107,403,460,764,608,463,254,862,324,044,551,491,528,411,030,162,733,917,
229,756,553,842,450,400,939,432,085,979,125,650,684,917,892,532,915,207,697,
610,293,236,891,648,645,804,445,532,359,921,382,895,477,330,471,604,822,400,
783,229,322,220,255,312,344,419,700,826,834,041,351,523,738,165,062,139,318,
489,914,179,551,780,067,753,315,582,074,865,137,771,865,927,716,184,929,866,
124,006,760,826,637,842,004,102,812,365,326,913,311,172,410,721,027,445,373,
142,866,415,747,884,814,758,689,576,110,992,746,743,420,422,134,986,925,133,
380,668,308,059,101,891,264,850,312,257,441,079,093,422,972,817,673,360,898,
580,873,769,350,567,251,575,080,163,230,462,917,495,707,506,333,005,933,000,
979,466,149,676,315,689,687,070,805,258,239,747,169,179,153,243,502,466,315,
382,957,869,183,780,094,296,415,889,284,295,124,201,306,079,805,216,079,465,
289,614,336,609,338,531,038,377,406,410,323,117,478,648,090,466,447,865,799,
743,417,070,086,221,415,521,433,778,344,163,256,709,713,295,396,704,230,780,
973,304,575,501,012,115,473,502,257,620,609,328,405,716,115,924,125,863,606,
463,145,155,072,468,609,075,033,252,636,134,474,344,356,602,012,979,216,128,
526,485,712,304,005,424,483,598,637,466,764,994,329,541,084,176,995,860,355,
836,435,755,972,120,903,710,584,221,169,229,197,483,523,926,528,606,124,539,
243,258,643,690,463,943,297,922,667,042,672,312,794,994,550,548,792,388,989,
974,404,457,287,550,493,787,848,781,663,013,170,632,204,466,496,200,568,367,
398,683,889,698,617,885,489,190,121,419,064,350,243,141,440,832,164,488,813,
763,530,773,857,220,019,737,346,933,136,438,709,541,122,094,396,025,756,509,
971,691,627,117,454,471,092,971,214,638,755,142,895,543,577,641,880,082,787,
225,000,802,618,261,013,274,598,801,409,761,814,807,105,554,224,081,860,024,
854,566,907,847,313,893,879,327,624,461,655,361,988,114,309,175,366,666,614,
245,894,331,910,347,653,094,024,046,900,058,811,978,769,954,603,109,729,931,
111,543,263,811,417,163,814,956,185,045,695,801,718,592,529,854,220,269,431,
189,159,380,271,426,382,379,218,312,091,220,128,612,110,827,503,827,320,857,
504,496,880,509,617,209,529,353,016,362,287,062,388,025,163,316,964,404,219,
294,083,523,945,893,353,612,297,014,286,717,464,450,099,834,880,661,762,395,
588,693,482,327,740,721,323,973,447,691,916,384,275,906,359,914,343,414,835,
725,274,145,670,521,799,570,012,809,123,991,407,412,646,732,931,186,053,295,
441,903,705,812,068,603,912,884,206,136,708,330,443,183,014,119,546,606,430,
668,079,208,520,719,854,350,948,270,077,167,042,776,345,425,366,159,044,676,
858,633,527,182,515,671,380,287,438,268,985,315,234,639,795,773,288,703,091,
417,725,708,882,969,523,662,323,573,090,491,736,771,629,814,607,585,530,401,
060,885,203,495,962,767,710,933,047,412,694,184,442,312,818,577,803,856,961,
945,177,540,263,968,409,937,318,500,988,072,119,590,752,161,755,215,273,156,
973,301,244,243,474,651,482,717,616,967,382,457,463,909,341,232,538,620,528,
362,545,124,483,864,500,369,075,883,497,724,721,105,303,769,207,750,523,765,
631,065,804,089,019,848,524,849,926,649,564,867,485,716,362,726,354,192,403,
201,586,633,815,376,400,778,943,272,546,290,985,276,091,437,315,073,183,383,
523,349,802,964,311,194,105,964,535,982,685,571,984,968,589,409,457,774,585,
642,147,186,499,753,961,699,564,866,889,943,350,918,966,175,775,724,162,477,
195,091,176,147,029,168,801,746,766,709,914,421,525,266,822,461,212,993,008,
377,183,910,890,946,543,959,382,197,150,007,498,965,230,551,185,160,743,181,
609,735,215,013,922,247,448,616,895,117,620,634,114,187,113,342,013,167,758,
776,081,959,709,564,926,499,500,231,053,800,001,390,776,251,271,335,419,462,
838,784,632,181,180,602,744,669,838,188,005,646,102,323,604,398,776,656,551,
711,441,415,079,244,413,626,280,418,636,228,284,548,098,288,070,025,421,574,
420,231,985,939,980,764,966,123,391,410,517,991,117,291,357,211,987,023,147,
692,789,707,422,223,745,064,274,931,075,692,597,089,050,867,278,885,503,443,
119,201,993,562,438,231,466,096,342,852,889,782,604,509,923,212,672,533,103,
911,461,908,089,950,462,583,242,908,762,442,461,740,578,599,869,983,585,876,
553,245,226,726,969,871,108,137,193,510,278,342,826,753,369,117,665,873,597,
777,994,195,258,287,104,576,640,303,005,480,948,469,498,365,707,358,606,197,
083,692,011,652,217,375,292,887,965,395,995,382,104,590,364,348,921,205,809,
202,014,872,202,530,911,964,175,554,967,203,796,354,369,072,638,258,266,859,
303,560,841,055,444,415,600,725,427,330,759,254,870,998,786,431,330,420,514,
571,938,254,058,303,754,179,937,020,978,972,005,080,280,786,843,301,414,913,
432,030,321,561,875,661,942,601,392,464,810,463,567,279,025,158,881,899,919,
587,502,908,443,899,684,906,607,101,361,791,077,698,100,985,403,604,162,210,
884,333,883,705,032,039,237,928,899,261,207,849,883,262,226,616,393,427,813,
232,982,101,813,118,431,506,118,165,874,537,424,270,633,105,809,722,631,258,
737,562,566,431,543,422,381,342,220,672,091,365,360,566,358,174,423,209,703,
978,360,394,395,490,280,935,424,375,920,985,288,699,129,683,760,811,063,642,
218,415,938,811,392,590,790,282,775,056,762,582,580,277,403,489,619,846,436,
922,270,806,219,637,523,583,168,078,983,357,619,252,030,365,237,873,150,122,
433,407,633,241,496,815,681,828,483,883,118,414,301,116,768,309,321,518,577,
572,864,642,738,750,419,565,366,577,761,135,673,040,252,842,459,488,677,080,
512,290,599,472,715,684,323,762,019,440,802,082,001,886,823,678,123,252,623,
335,151,489,801,485,744,428,716,699,605,993,959,810,302,152,349,847,297,562,
267,757,497,724,386,170,511,416,147,067,485,582,638,321,317,066,572,690,825,
236,647,993,010,127,187,329,148,031,804,115,553,368,518,842,628,554,078,753,
119,698,264,594,647,519,911,687,628,864,585,772,781,250,952,699,818,936,178,
556,547,316,464,597,838,943,406,127,275,807,801,851,903,487,771,978,454,176,
626,658,317,476,620,719,296,275,223,335,448,350,947,958,726,969,219,878,852,
444,028,046,265,188,533,913,723,843,090,796,714,499,156,669,938,175,888,930,
865,983,804,985,268,247,319,078,301,650,034,293,090,532,488,711,247,668,533,
646,360,319,374,970,862,714,996,716,321,159,557,798,760,774,702,348,145,098,
545,226,682,772,520,974,333,440,810,696,874,403,849,763,991,163,029,547,175,
147,237,249,762,891,358,809,304,416,768,416,963,669,688,168,028,426,940,290,
183,393,823,393,864,264,232,104,674,430,700,956,320,847,849,333,510,392,009,
613,746,985,672,637,557,010,778,352,551,237,589,804,073,492,930,567,258,491,
586,443,760,033,456,593,208,297,521,763,313,552,873,891,722,362,564,543,377,
496,865,392,238,864,483,973,094,071,921,906,817,714,692,244,703,149,284,968,
602,044,324,911,025,145,315,258,000,864,110,468,218,309,406,256,001,600,342,
114,978,861,554,858,791,301,999,651,234,173,819,363,808,925,487,160,019,861,
934,918,302,402,290,414,912,776,878,383,900,453,291,191,044,227,782,824,053,
703,655,341,778,149,973,625,504,186,669,821,032,625,591,022,073,914,062,491,
270,648,514,749,713,767,228,613,487,367,031,060,923,204,580,355,457,641,067,
500,523,370,626,931,731,751,532,138,289,016,412,875,302,214,503,933,592,541,
388,127,947,195,367,269,285,193,571,114,421,442,873,894,681,590,761,709,377,
276,272,575,028,511,314,531,477,154,955,300,520,825,201,724,480,189,503,287,
881,468,534,022,165,831,421,005,308,504,692,172,192,269,841,624,812,096,213,
246,261,760,734,870,982,318,816,765,823,037,483,182,186,045,650,600,291,740,
831,875,034,113,415,621,608,361,295,587,339,129,005,448,489,171,164,350,002,
806,245,955,331,033,725,900,916,887,530,920,718,317,463,367,546,399,683,201,
152,690,105,732,418,289,714,849,976,854,990,112,705,051,447,621,237,631,236,
821,118,648,305,959,522,608,922,647,831,171,801,909,245,989,687,457,275,191,
379,648,216,738,563,585,477,513,810,600,616,342,577,281,882,954,053,939,223,
129,170,357,009,012,365,628,900,310,475,281,426,322,091,172,952,518,690,512,
101,046,118,005,071,368,341,517,808,961,851,926,254,066,074,832,744,026,676,
491,567,021,045,150,448,701,980,611,754,002,497,755,702,231,149,285,734,838,
470,376,949,388,697,105,709,465,107,842,238,660,894,311,384,076,092,423,004,
369,945,501,768,133,257,955,518,773,364,723,987,519,775,668,836,347,070,278,
831,258,303,870,401,532,438,518,710,258,280,816,915,302,267,745,848,041,275,
915,699,841,321,298,683,354,879,778,693,035,564,445,886,108,931,483,988,896,
304,409,073,683,255,731,446,873,802,756,507,549,422,645,907,677,011,400,594,
373,333,563,059,556,751,749,236,221,372,456,773,394,547,529,616,501,364,982,
329,047,062,940,819,855,517,157,193,195,147,600,278,203,308,346,869,614,381,
457,174,078,905,420,026,354,126,420,963,977,394,197,073,148,678,922,263,968,
121,024,597,690,913,840,710,686,093,097,820,950,885,929,476,375,290,630,155,
625,285,198,745,887,611,799,734,127,789,936,572,072,832,163,686,383,988,208,
509,672,294,040,694,045,051,635,317,909,940,536,274,577,117,074,324,733,111,
677,136,303,883,098,981,548,299,098,620,369,511,155,229,547,820,103,935,366,
761,315,443,137,221,598,177,112,976,599,925,939,397,307,503,459,120,357,143,
696,491,049,223,927,922,315,876,587,167,497,845,820,023,199,349,793,714,203,
000,968,090,743,743,531,125,091,454,693,521,458,196,582,169,224,589,725,112,
520,305,419,862,686,620,326,401,933,880,148,581,631,798,481,016,209,009,603,
842,951,905,950,565,968,153,867,260,692,873,460,640,184,779,173,545,533,239,
568,366,785,021,415,238,580,636,478,075,270,076,188,129,036,371,963,446,734,
349,425,273,989,690,829,905,490,592,072,252,311,673,365,780,337,081,681,597,
313,064,158,291,371,025,499,755,633,694,357,907,388,303,016,377,136,837,243,
435,470,431,856,534,388,993,890,364,894,046,862,150,582,480,314,782,650,994,
651,883,999,677,516,958,781,488,564,402,003,833,770,835,143,602,076,852,562,
681,459,768,862,225,614,078,632,125,809,623,907,144,660,600,922,509,157,661,
638,868,647,347,500,410,304,593,981,325,430,717,407,501,744,121,388,413,603,
559,695,334,999,835,126,871,700,205,880,194,888,419,096,666,594,144,895,226,
402,844,983,531,451,476,786,527,771,505,032,453,099,239,249,141,264,695,293,
162,414,621,432,301,782,719,735,537,349,421,933,780,905,289,366,144,413,755,
250,461,252,010,603,926,188,695,776,397,459,093,490,483,971,897,555,232,445,
890,620,216,718,637,898,986,791,121,628,013,712,026,474,137,303,978,367,849,
383,666,756,171,073,777,816,612,012,082,332,994,761,929,513,206,665,033,876,
191,647,217,330,206,532,726,238,838,695,797,016,527,349,861,935,713,896,493,
120,166,930,331,530,646,164,361,319,032,879,869,016,804,328,763,039,062,177,
573,084,567,454,919,483,056,768,298,180,893,610,171,527,740,850,374,211,059,
551,480,813,554,504,116,377,304,511,644,162,564,462,101,621,016,703,722,775,
411,729,140,927,014,807,189,445,540,352,322,239,300,440,455,111,314,658,495,
794,766,849,079,528,081,075,731,964,858,987,745,403,164,668,923,564,150,633,
007,049,653,623,728,429,635,357,672,037,357,324,867,398,466,526,077,821,843,
051,901,796,857,857,654,878,512,323,472,162,714,140,137,489,499,222,770,752,
057,846,212,660,066,828,562,210,733,139,704,090,531,262,381,201,083,109,612,
409,731,719,819,271,008,433,358,281,509,554,517,701,140,313,468,952,240,617,
009,215,435,184,016,012,998,705,856,762,123,727,997,332,950,646,836,926,375,
526,727,108,131,420,986,459,822,112,433,552,405,466,530,787,207,422,430,343,
028,527,447,495,908,206,028,651,211,374,931,021,645,150,464,956,176,749,031,
343,557,375,950,624,223,039,519,299,217,382,827,422,109,777,107,597,796,133,
346,982,090,812,231,647,376,535,331,422,968,697,855,731,496,969,632,746,741,
083,873,328,955,631,318,550,658,263,888,243,394,704,989,379,202,474,393,646,
659,052,711,659,453,278,302,060,239,684,744,719,388,190,872,062,269,418,981,
417,346,476,860,602,626,137,344,762,960,116,644,356,150,672,047,113,406,733,
941,230,503,631,601,978,349,430,789,520,755,168,315,799,398,815,501,643,281,
900,323,904,450,159,743,317,686,825,361,348,606,135,472,657,620,967,450,581,
403,711,467,034,866,669,711,725,678,193,370,377,875,715,444,722,737,462,148,
883,328,392,789,254,030,915,880,456,837,593,650,000,078,822,411,555,971,260,
862,251,269,163,426,283,394,174,858,847,421,736,042,795,279,445,990,127,659,
632,334,380,832,028,880,479,685,510,577,334,477,292,561,636,828,009,534,892,
162,645,126,266,287,500,969,210,270,663,267,148,878,008,634,890,715,293,759,
602,675,646,237,816,263,388,091,259,781,062,357,477,124,697,384,207,541,353,
847,591,582,794,235,939,497,665,723,129,353,611,859,145,019,891,835,353,974,
291,806,791,518,680,763,148,777,719,221,650,474,718,806,378,949,056,026,113,
033,446,201,825,311,153,970,377,113,747,118,269,692,016,522,772,712,221,058,
085,570,161,194,937,931,310,782,906,750,417,815,314,827,502,125,317,913,368,
843,684,703,696,007,734,472,227,397,213,549,861,404,392,284,727,811,266,143,
851,215,889,077,320,413,535,464,513,945,350,424,704,308,813,225,024,499,177,
049,127,149,131,967,633,018,816,258,380,231,841,111,631,271,149,019,520,391,
166,023,095,302,404,098,606,750,306,658,770,257,957,784,394,386,639,779,183,
430,702,943,978,021,686,542,924,209,371,663,555,504,853,930,592,384,786,427,
467,167,542,809,355,673,620,901,968,450,911,089,234,017,723,313,995,524,152,
771,315,926,749,437,009,457,772,824,350,534,882,277,029,097,232,183,211,718,
930,544,645,604,881,772,431,373,912,041,805,126,162,831,369,236,140,346,707,
505,140,194,860,067,516,001,708,277,339,600,826,954,729,494,634,035,163,688,
866,806,209,883,208,323,874,733,484,688,268,007,851,900,709,356,478,172,885,
469,791,150,645,680,200,615,782,082,663,054,114,343,224,967,531,481,150,801,
138,377,460,085,742,953,295,006,275,562,460,821,667,204,492,349,905,873,675,
447,658,852,799,664,618,435,837,596,354,808,639,739,890,354,962,294,279,320,
615,176,725,592,655,142,080,490,168,200,431,935,786,862,654,138,532,936,391,
146,296,369,120,163,267,983,157,538,536,863,981,074,258,831,924,598,680,926,
870,376,214,754,203,838,180,187,928,669,547,657,623,913,554,402,087,357,790,
133,957,439,014,146,185,795,710,061,158,935,433,040,738,358,077,160,978,884,
359,245,126,770,185,157,154,565,244,601,011,785,742,844,387,757,107,402,611,
141,634,972,239,618,610,081,607,962,493,268,387,123,643,548,067,490,267,219,
256,415,033,907,187,265,827,870,916,883,623,176,428,269,936,655,625,319,215,
094,866,362,990,487,680,127,674,247,000,522,385,241,537,453,954,259,806,144,
442,556,042,195,497,387,939,325,186,689,422,733,070,282,552,451,350,422,847,
250,216,780,576,163,789,381,722,257,160,325,522,197,208,442,790,184,140,223,
753,810,326,879,530,571,920,767,611,224,333,814,250,114,977,951,490,543,724,
104,568,713,926,867,371,561,593,036,506,980,754,675,668,468,256,580,779,844,
494,993,605,827,085,340,084,988,713,989,775,459,033,249,188,946,626,053,830,
120,576,874,823,280,494,492,785,583,084,822,561,614,006,979,042,498,319,916,
773,147,805,749,710,195,343,892,900,202,837,000,870,049,048,610,137,672,718,
199,896,669,323,983,113,385,256,410,581,845,018,068,537,740,615,054,560,677,
220,628,559,031,164,696,809,279,408,827,477,598,419,801,277,812,508,488,801,
068,926,785,618,449,926,202,032,820,771,144,922,528,778,941,461,269,344,978,
186,053,302,088,316,691,111,578,669,977,999,339,474,285,261,862,716,667,660,
094,931,998,626,252,445,084,050,006,283,417,278,480,804,627,764,016,939,316,
940,283,850,244,514,097,847,764,750,655,274,897,432,543,502,782,411,277,650,
320,423,137,363,814,683,633,465,113,049,457,295,735,278,288,314,890,230,208,
652,059,793,013,036,994,042,605,017,961,311,383,572,735,917,672,885,254,293,
309,215,434,161,825,798,038,124,845,513,114,254,070,355,839,605,186,771,622,
237,102,804,243,050,830,094,860,263,965,821,668,955,182,042,348,263,302,200,
294,972,784,457,812,759,525,881,875,639,672,418,894,470,101,453,411,764,576,
811,577,764,650,185,913,239,317,965,335,409,492,546,441,035,796,332,558,822,
887,320,273,260,136,522,950,059,180,799,666,374,727,209,261,778,813,106,093,
724,653,977,507,315,331,839,186,636,643,399,326,473,565,942,294,516,156,927,
033,178,612,460,967,121,340,504,467,464,647,509,588,488,040,377,452,898,764,
820,778,116,518,024,290,881,474,904,803,370,447,180,590,536,116,565,650,313,
595,544,212,617,863,581,063,396,773,497,216,167,962,222,861,866,570,431,690,
692,412,911,140,260,899,446,335,217,764,910,321,439,965,223,174,368,675,235,
930,594,901,572,201,690,890,262,991,398,441,811,688,174,912,984,677,650,259,
774,838,879,786,188,335,293,247,706,430,326,971,018,865,544,249,473,523,965,
453,357,988,048,516,896,917,455,299,578,862,163,933,898,204,881,816,912,251,
353,786,555,309,254,715,307,337,051,878,138,057,079,062,516,888,719,287,211,
327,136,288,942,480,359,164,906,060,548,505,631,455,409,645,789,201,295,209,
276,798,611,671,673,230,894,143,555,496,329,869,497,925,144,925,937,906,072,
492,585,716,267,823,176,216,707,630,503,313,045,989,784,426,674,145,883,525,
480,992,564,369,689,128,001,179,207,254,658,698,153,507,276,291,063,591,293,
172,848,322,703,828,183,929,954,788,373,023,563,665,437,962,102,138,078,169,
051,904,078,238,163,229,811,098,698,270,430,028,157,983,367,068,106,794,628,
044,948,585,945,039,169,918,759,147,601,479,446,125,774,276,693,254,275,196,
777,304,119,257,505,183,316,597,055,780,230,253,989,985,838,816,709,163,963,
180,528,465,041,497,543,718,332,721,287,705,660,141,987,971,571,111,373,309,
913,410,161,515,652,972,906,919,707,447,376,847,275,248,018,827,179,580,949,
048,616,973,929,518,753,706,562,175,603,718,792,625,201,495,882,902,455,806,
948,595,792,916,853,816,398,578,201,932,766,714,131,101,237,738,331,753,739,
534,825,667,239,534,962,344,716,766,310,135,768,590,084,831,434,743,309,650,
952,277,496,687,374,482,793,692,237,921,805,704,416,252,538,701,854,466,905,
325,142,704,963,844,942,440,277,751,711,989,605,981,653,987,207,563,019,247,
235,632,264,623,869,505,054,909,013,158,256,318,849,420,732,484,678,248,333,
219,969,127,717,083,599,253,489,277,257,997,699,387,706,029,113,034,169,997,
111,928,988,111,369,488,038,237,068,587,531,735,539,150,614,905,093,217,948,
090,671,378,134,895,405,917,987,983,713,769,809,496,525,421,431,154,569,522,
641,691,486,591,113,126,011,980,060,155,844,134,902,050,900,018,363,534,883,
862,290,439,800,692,640,493,133,769,285,038,993,813,386,939,285,185,139,213,
961,932,020,696,456,053,356,742,367,864,757,392,453,117,651,940,109,890,281,
764,030,820,144,699,705,067,143,187,497,023,893,457,223,044,780,994,885,059,
604,078,038,671,218,234,967,597,439,036,304,078,190,623,790,444,297,193,983,
851,892,012,116,941,573,242,409,867,011,095,938,467,629,590,715,732,460,441,
459,830,882,693,916,043,653,285,928,570,728,466,303,144,070,487,634,846,725,
606,059,045,578,936,661,823,143,743,773,573,645,971,465,114,759,590,236,593,
896,323,269,687,481,910,058,042,332,251,883,836,557,174,337,156,872,887,468,
057,722,955,259,189,068,041,768,690,619,731,228,821,450,355,975,381,561,122,
184,192,660,083,485,751,350,439,701,326,108,040,334,240,161,565,814,536,232,
746,257,923,878,236,254,773,118,205,303,011,473,695,810,297,871,934,591,329,
850,037,774,486,024,996,911,373,908,024,443,611,048,869,717,399,442,365,721,
669,955,243,726,117,074,620,860,843,476,784,663,868,167,241,320,496,276,997,
965,775,404,304,202,723,035,987,151,274,226,876,780,699,727,692,146,609,455,
484,194,998,433,462,187,944,882,953,588,880,606,107,441,777,175,315,322,304,
635,117,811,021,154,488,680,134,407,095,032,775,292,417,987,744,603,014,943,
677,568,853,626,048,794,072,360,579,447,268,643,082,946,837,782,620,980,503,
736,459,025,380,212,141,559,034,044,452,756,928,244,542,371,956,168,797,948,
484,141,291,661,691,591,504,130,195,510,847,035,323,158,724,711,673,827,329,
440,118,003,365,472,355,852,208,858,419,951,258,964,806,317,516,821,455,822,
540,300,917,247,067,387,248,730,000,730,556,434,355,085,795,534,890,793,519,
822,281,749,295,454,064,128,650,428,129,566,928,179,558,993,981,881,496,169,
338,809,333,740,803,781,868,911,512,396,602,519,451,418,431,106,462,472,077,
281,720,999,558,044,785,706,484,021,221,056,101,454,662,501,948,071,440,870,
514,018,534,840,948,489,687,233,036,444,037,872,746,972,856,862,855,931,701,
576,358,465,235,245,447,208,885,259,813,995,209,677,081,852,784,402,871,124,
049,346,794,947,918,233,294,023,140,156,363,529,119,802,822,732,077,031,567,
775,413,338,231,548,130,276,395,096,360,594,712,990,496,948,266,453,085,684,
088,514,069,009,884,184,476,533,209,723,864,431,949,669,505,017,596,447,429,
673,653,301,804,842,648,498,570,189,676,731,931,445,627,451,404,870,243,281,
486,548,356,342,326,919,298,070,734,270,534,018,412,563,267,058,702,029,588,
186,568,189,412,107,049,798,368,148,140,728,071,982,381,319,249,121,240,483,
671,905,402,925,197,996,367,269,429,527,503,859,572,340,170,155,916,680,169,
403,766,909,696,080,471,969,754,000,379,858,877,467,664,358,844,766,010,773,
486,668,575,818,797,501,909,794,662,463,729,143,138,486,404,263,721,054,449,
053,615,510,271,423,889,926,553,195,793,900,219,116,675,347,982,605,447,472,
551,973,067,412,380,697,109,713,949,744,139,388,354,124,271,792,962,670,070,
673,379,532,756,601,566,405,354,046,601,617,911,147,961,076,634,167,046,456,
600,063,306,695,896,853,824,770,480,349,428,633,404,574,159,725,651,905,832,
005,949,789,868,146,747,374,167,134,093,181,090,839,813,857,786,509,773,710,
083,348,744,273,725,794,590,704,873,589,524,399,702,920,803,773,992,269,734,
039,337,175,725,605,153,635,457,841,016,850,015,390,243,924,249,836,360,509,
260,399,413,270,423,844,173,438,735,441,554,160,641,820,227,976,804,264,577,
921,767,606,105,371,917,782,369,852,574,712,613,630,443,382,284,362,841,504,
069,911,272,182,110,251,327,024,027,053,179,995,286,347,197,901,733,418,335,
115,943,706,109,371,576,377,102,634,476,111,722,574,524,791,128,689,460,359,
658,344,344,066,352,954,101,783,152,414,891,670,384,914,400,107,261,588,603,
711,986,057,213,348,645,353,334,774,805,377,644,614,135,623,021,517,212,554,
742,089,155,465,105,924,123,026,573,403,336,210,034,188,685,728,938,509,480,
530,244,457,744,347,202,941,405,345,193,590,466,652,777,081,458,536,682,361,
411,208,333,306,804,054,884,359,342,724,040,348,979,082,811,694,051,640,537,
121,768,532,188,643,189,108,922,627,085,089,697,832,337,675,105,215,000,303,
820,160,930,148,810,166,848,693,730,250,995,751,516,848,925,617,910,277,900,
934,575,761,688,489,779,705,976,615,645,144,253,149,263,591,313,301,870,305,
096,753,890,522,212,719,656,164,078,784,697,671,389,207,284,478,344,537,953,
949,746,984,980,861,383,033,428,052,644,551,408,929,806,441,399,466,047,836,
821,528,947,019,640,594,218,220,200,559,251,947,947,108,852,218,965,343,119,
425,426,734,772,892,558,735,044,276,670,874,366,626,392,978,929,458,787,804,
215,981,120,311,428,767,462,576,327,371,732,451,555,863,613,637,078,539,464,
574,269,239,041,631,083,384,118,122,438,633,234,003,321,594,160,068,852,997,
971,312,471,567,356,467,007,325,634,883,555,384,613,134,854,788,422,165,584,
906,114,983,207,604,864,534,013,619,079,568,545,890,538,471,271,818,202,494,
159,316,758,650,326,774,361,155,979,784,985,605,220,580,600,146,365,638,980,
024,503,694,598,111,844,338,637,439,665,150,722,380,679,706,309,294,108,957,
671,766,409,363,741,709,119,838,747,084,852,392,007,613,832,213,502,534,442,
364,912,629,134,389,769,448,158,779,555,975,658,665,311,394,269,175,870,305,
566,526,143,144,102,033,052,190,879,926,608,862,412,262,495,399,974,296,918,
648,816,364,259,211,810,448,662,907,025,406,020,318,396,228,132,621,179,795,
199,344,475,961,974,147,106,137,862,687,051,900,941,644,687,195,967,353,836,
001,851,031,506,992,371,888,843,248,848,875,071,872,422,943,889,142,673,008,
749,744,654,558,801,667,362,550,927,163,703,819,721,017,504,555,634,736,774,
832,857,099,708,687,074,037,666,591,856,293,610,020,104,575,528,457,859,924,
034,437,959,561,141,801,687,434,352,942,068,883,032,945,854,989,039,876,484,
408,009,651,624,017,884,519,434,959,833,878,695,861,991,144,401,127,284,638,
179,836,266,951,670,135,917,332,592,898,736,577,278,636,958,804,811,436,337,
451,776,022,376,466,417,000,163,632,690,461,396,458,266,806,702,700,009,890,
881,900,196,076,951,662,909,710,676,860,099,094,794,497,181,891,170,821,658,
382,513,184,613,814,325,731,084,513,347,954,551,396,283,556,639,868,731,881,
124,732,276,656,591,029,889,613,187,154,318,001,316,043,676,795,285,046,000,
223,283,577,355,841,852,583,435,214,903,701,206,536,931,171,525,800,499,349,
301,003,226,629,592,237,574,162,221,427,220,742,252,235,175,263,670,765,352,
654,966,188,088,210,271,414,581,151,957,597,137,544,981,187,081,150,244,480,
057,880,785,682,627,494,148,453,559,593,248,870,552,746,732,251,355,658,353,
237,128,484,661,752,440,656,428,999,752,775,842,897,498,315,695,310,552,348,
610,382,134,709,589,187,434,043,306,787,728,329,327,313,660,590,143,819,165,
351,824,214,275,197,207,246,923,855,037,009,724,573,364,806,461,708,010,668,
555,362,413,240,130,578,048,508,987,589,734,074,451,676,198,430,012,761,543,
985,047,924,675,203,270,083,303,591,573,496,731,553,418,490,932,154,593,312,
011,270,912,005,460,670,290,382,226,648,994,903,004,039,920,283,656,489,450,
672,864,068,054,273,109,991,218,260,815,948,978,204,278,592,953,469,673,147,
522,920,693,565,904,476,614,679,686,373,963,610,429,496,616,010,029,641,432,
233,375,121,113,691,166,617,532,751,107,208,621,149,733,047,448,632,520,343,
687,362,260,872,878,885,482,336,465,401,847,337,411,818,025,959,040,417,849,
669,122,951,885,116,944,455,538,068,835,757,683,255,531,466,380,434,027,339,
875,881,937,280,316,244,620,183,983,247,241,191,443,418,467,589,474,313,166,
646,206,119,128,038,517,075,424,563,043,063,852,318,602,638,568,672,967,733,
751,975,058,522,997,190,621,778,173,962,514,520,635,101,990,020,263,867,101,
953,401,095,070,796,685,497,446,820,982,872,614,662,851,016,161,776,508,506,
864,074,157,491,826,486,747,740,403,975,830,417,953,194,915,921,423,622,106,
819,195,161,161,302,570,034,258,053,533,518,856,927,567,782,443,119,140,520,
642,796,188,651,009,572,432,963,681,634,384,094,922,087,400,325,064,074,772,
245,185,271,392,641,228,949,210,505,268,461,433,963,349,012,097,989,090,246,
545,624,758,176,847,937,235,811,902,152,871,391,150,384,260,953,899,997,728,
722,239,344,664,454,613,796,819,251,098,514,195,498,800,055,453,054,503,911,
530,081,706,564,461,772,701,308,304,048,662,421,998,355,497,446,779,719,339,
742,826,275,858,224,571,305,028,127,618,040,677,376,970,513,490,593,448,066,
167,625,349,894,832,576,678,398,482,428,062,427,732,790,802,689,899,109,353,
262,962,629,000,986,909,828,157,734,676,742,076,377,322,261,530,453,187,412,
153,662,495,283,542,157,997,178,621,872,617,807,834,067,898,784,291,070,477,
893,236,834,924,629,173,434,858,609,542,060,237,696,128,935,555,151,429,623,
089,526,145,725,625,804,925,500,905,021,887,319,671,252,285,248,149,369,417,
999,792,912,225,419,089,459,485,226,890,342,828,852,591,865,405,212,621,365,
301,615,429,446,612,185,531,451,077,716,054,978,378,268,073,812,272,944,473,
248,223,237,752,798,005,639,707,342,341,908,272,545,267,875,730,407,931,317,
706,981,319,517,812,076,516,855,581,071,157,269,165,773,321,923,957,633,691,
064,239,587,838,061,318,876,839,793,283,037,074,400,591,689,233,361,342,811,
550,226,639,014,170,359,336,330,195,244,003,693,191,453,514,061,222,665,689,
696,060,435,897,495,092,508,037,670,822,120,614,012,052,739,364,744,144,306,
750,298,922,017,064,468,344,503,570,585,836,288,174,478,880,575,942,173,698,
168,076,731,853,086,608,871,027,079,603,002,709,928,644,393,017,298,993,611,
562,550,261,549,453,675,322,480,492,303,457,568,383,579,434,132,761,280,303,
846,245,514,456,965,274,546,586,164,199,090,801,771,811,589,031,629,772,423,
912,602,378,737,829,834,813,211,300,694,166,758,076,613,909,496,580,590,212,
046,550,910,230,029,825,122,472,935,741,514,137,909,690,531,662,282,518,885,
777,151,735,048,826,557,672,916,914,298,044,237,678,120,586,042,209,333,002,
346,290,909,596,681,477,174,068,544,312,859,786,395,354,323,332,088,895,662,
969,813,653,553,031,485,966,710,916,853,265,126,177,495,268,737,117,195,067,
199,593,175,739,355,733,106,958,167,474,317,294,613,014,696,268,121,878,783,
759,875,413,969,160,315,450,930,875,627,768,127,244,045,945,623,491,012,177,
683,675,250,937,876,479,399,518,944,694,745,043,592,631,966,606,298,877,088,
849,735,729,924,438,177,474,930,226,975,113,698,900,215,137,179,883,175,531,
436,536,465,384,715,371,410,383,552,636,859,302,390,790,777,161,995,451,782,
195,203,001,911,485,833,196,540,784,580,868,514,263,016,789,628,736,630,717,
103,036,743,707,657,113,380,947,503,574,934,354,828,671,240,138,418,154,566,
533,222,099,702,250,044,401,717,934,451,411,581,448,502,912,154,303,393,986,
107,083,728,833,692,632,512,964,263,857,644,671,217,987,701,961,609,964,725,
461,794,287,897,256,572,947,402,502,142,785,913,318,021,899,335,650,333,887,
738,729,288,681,474,135,805,817,555,737,627,523,951,287,520,125,342,874,576,
931,480,453,577,473,264,370,969,992,870,270,367,245,309,133,343,719,938,167,
135,053,302,866,030,433,568,027,417,727,598,928,642,946,139,276,884,866,233,
751,182,415,700,720,380,065,743,695,969,352,422,214,194,214,943,960,437,920,
630,882,674,895,886,679,061,542,401,558,440,167,050,080,113,263,359,084,458,
673,577,214,883,625,510,421,335,747,179,165,008,615,663,824,505,353,416,646,
116,223,996,637,661,710,575,279,756,348,029,966,663,780,158,137,665,627,692,
925,224,409,796,585,378,381,511,961,761,479,690,229,346,649,957,863,419,238,
944,273,461,608,144,957,803,778,833,563,571,091,906,451,719,019,168,922,937,
113,924,452,925,261,681,563,015,698,552,953,738,184,256,896,651,078,518,342,
557,221,858,205,619,044,520,010,386,129,425,573,208,879,677,625,782,369,650,
726,279,232,315,974,583,731,503,764,986,375,944,109,016,257,878,430,973,531,
270,288,440,558,432,523,963,545,913,866,333,588,924,731,118,274,636,494,333,
614,942,740,157,555,727,246,382,676,737,110,430,575,389,270,353,543,509,653,
333,957,966,135,991,794,867,150,090,603,392,835,045,521,638,879,680,567,360,
968,768,273,112,777,297,587,145,063,617,819,292,877,512,708,907,959,511,814,
850,008,098,656,226,929,668,619,673,859,499,697,198,824,560,634,969,761,624,
833,475,050,362,917,930,909,768,658,650,175,050,278,142,250,069,410,032,820,
090,483,235,608,516,362,937,211,355,724,566,519,134,853,992,879,248,751,848,
926,887,171,936,493,620,567,305,663,495,998,298,441,220,753,653,048,608,939,
712,406,287,150,178,498,039,154,275,464,109,640,698,663,906,427,123,855,809,
682,802,372,330,405,517,889,960,568,679,382,315,604,634,380,840,096,635,118,
942,797,761,404,834,349,430,607,557,243,858,233,288,339,286,890,672,788,789,
145,714,391,815,940,190,299,585,533,448,385,990,097,107,358,135,647,483,319,
188,370,890,684,298,148,866,720,813,588,340,441,516,561,507,776,613,675,476,
872,637,243,232,202,652,502,759,794,708,135,947,309,588,368,746,135,587,033,
425,618,261,439,319,626,418,257,189,499,037,172,602,483,809,651,008,306,231,
016,044,243,934,307,829,807,406,247,180,775,948,708,934,617,153,628,556,192,
459,163,656,648,781,550,778,005,195,475,810,190,143,339,095,023,070,956,336,
617,752,416,040,248,525,516,769,006,482,011,928,474,410,128,795,556,525,165,
376,308,024,724,576,172,345,309,919,219,183,732,983,675,228,733,501,385,816,
343,435,710,157,961,835,517,102,629,136,352,156,751,006,401,714,754,445,628,
404,138,178,883,715,009,458,850,415,036,436,227,864,906,607,591,936,537,550,
136,075,669,830,729,426,450,491,563,709,760,947,961,853,099,763,738,356,295,
828,830,516,249,046,939,089,043,494,819,826,266,835,724,861,922,871,208,759,
776,301,778,794,569,060,180,114,335,037,815,245,225,458,303,523,122,756,374,
729,256,708,945,179,074,587,097,092,935,122,375,116,033,156,561,849,491,403,
508,576,168,728,835,159,413,828,143,658,002,213,674,336,745,458,837,462,819,
441,083,241,867,976,715,302,687,862,475,146,238,559,971,597,843,967,253,437,
402,822,072,113,198,683,245,418,119,897,561,918,104,045,932,360,399,032,015,
687,072,274,017,332,552,297,518,943,400,257,964,448,381,893,507,235,298,013,
464,927,816,774,141,462,776,792,444,276,969,900,695,124,152,407,769,097,897,
498,110,318,295,296,511,091,244,983,609,566,590,948,511,297,260,312,319,771,
568,108,807,397,908,067,290,024,762,343,562,318,708,251,436,680,837,496,134,
989,172,700,898,651,799,692,848,706,369,829,919,297,247,045,290,928,902,580,
335,454,226,611,074,817,628,202,612,301,007,324,291,479,222,246,772,779,602,
346,479,326,572,595,038,901,301,248,841,098,305,638,053,320,739,851,804,980,
490,902,691,262,041,129,105,560,441,602,034,335,961,698,353,850,185,263,364,
729,921,770,153,979,026,363,355,016,541,206,716,461,274,119,392,450,954,622,
417,557,176,600,803,387,652,876,285,144,364,341,307,813,211,258,379,672,664,
915,813,270,048,312,138,425,353,030,413,260,468,917,405,568,040,673,196,602,
549,106,792,191,572,616,943,628,433,340,803,377,306,259,483,870,362,591,850,
085,459,237,460,933,532,636,444,981,295,323,686,033,840,478,852,836,353,104,
965,350,987,859,969,554,026,630,935,559,574,742,806,556,920,128,201,505,280,
691,199,632,576,198,773,001,212,421,440,649,658,681,157,072,944,435,418,919,
098,341,177,205,325,919,823,775,284,280,957,495,848,290,643,926,551,035,914,
140,010,221,498,710,155,554,962,096,825,812,500,403,160,510,026,697,644,479,
422,679,610,739,268,380,663,151,957,372,382,983,284,151,798,996,293,727,476,
000,287,391,431,621,342,970,926,988,022,325,312,184,837,098,804,253,147,145,
750,668,580,721,352,230,102,998,797,490,449,798,475,590,032,557,899,321,826,
261,810,400,069,301,004,302,071,337,771,085,026,193,424,835,598,937,117,623,
471,972,865,996,163,775,818,405,607,520,801,304,743,465,001,229,628,060,806,
809,910,933,237,478,117,813,917,613,155,017,867,842,438,168,224,250,334,618,
342,490,838,135,541,432,677,641,276,927,692,942,416,009,088,904,278,760,204,
958,633,309,521,351,157,293,641,733,016,840,798,132,726,775,206,272,979,169,
881,326,496,306,058,491,376,636,148,032,809,932,427,035,298,271,301,652,952,
817,345,790,366,072,076,139,717,508,160,195,317,383,912,954,759,102,960,549,
044,380,466,021,244,430,528,861,431,903,263,565,514,197,013,657,070,643,655,
742,513,166,416,676,069,626,724,334,097,584,324,022,295,470,168,148,941,810,
838,673,901,188,341,289,562,225,119,148,061,400,199,405,097,520,250,604,303,
124,820,556,776,167,349,884,730,068,462,292,879,441,312,049,709,340,857,814,
441,090,254,033,343,194,006,687,368,616,356,541,654,601,708,370,267,115,953,
398,881,308,204,384,155,547,807,473,780,348,185,930,461,740,471,479,129,837,
643,509,100,872,307,077,766,379,589,464,648,936,981,824,940,354,824,216,517,
499,351,768,561,739,753,366,314,333,132,304,211,703,960,129,297,550,368,872,
101,591,907,133,359,905,167,000,534,931,674,160,428,856,836,958,305,492,896,
201,021,821,331,464,775,760,298,824,403,434,567,648,519,672,940,341,403,386,
940,654,859,143,266,248,363,895,260,828,100,720,701,030,214,332,435,289,837,
065,038,707,536,988,996,053,302,806,308,738,525,480,775,857,238,892,115,863,
234,795,452,203,168,915,651,113,867,882,761,847,881,488,863,773,823,531,417,
126,663,701,555,783,759,249,802,086,424,471,309,527,307,852,675,648,548,964,
016,524,217,533,129,286,415,095,919,685,825,041,217,069,153,902,029,209,396,
711,629,803,976,854,654,184,915,306,319,788,893,283,634,641,006,910,891,652,
446,225,706,240,852,649,206,770,070,716,065,495,109,295,224,516,090,424,576,
422,010,343,614,774,923,970,682,609,270,866,666,441,049,366,671,377,476,830,
047,346,265,908,619,827,417,845,072,457,312,205,587,318,731,249,766,929,595,
496,222,998,664,315,252,260,714,400,955,347,526,013,938,457,999,770,431,998,
016,069,902,615,495,079,490,056,513,384,218,683,851,799,685,787,967,647,977,
249,659,078,235,854,432,179,791,541,227,940,589,128,474,983,963,041,413,520,
062,150,807,980,448,645,909,408,401,239,583,614,146,658,277,378,332,225,851,
878,950,069,673,292,582,281,788,209,700,447,295,996,971,096,717,016,794,051,
399,173,875,570,115,545,421,301,669,242,038,579,707,594,104,449,924,466,982,
348,598,296,978,862,179,501,255,673,903,927,217,760,045,241,682,535,021,044,
145,562,590,430,581,140,025,666,506,965,812,973,519,904,573,019,888,987,749,
902,677,170,758,652,591,791,983,080,800,057,352,103,502,571,775,811,703,717,
455,054,130,366,364,511,087,248,226,815,553,937,955,618,640,667,978,774,719,
982,221,035,173,637,467,174,197,191,702,342,499,473,960,115,727,871,655,558,
519,601,821,417,764,429,548,691,838,291,288,457,785,643,144,235,557,583,443,
588,998,178,234,296,613,158,323,813,174,035,759,508,519,854,825,950,473,955,
915,492,849,978,760,217,883,634,883,287,836,178,236,955,586,981,984,397,921,
164,364,232,836,951,027,577,426,352,400,439,826,448,430,747,106,424,535,134,
139,644,733,540,842,591,538,298,613,677,158,208,047,237,370,100,541,576,428,
674,800,765,316,888,744,607,615,300,391,191,298,584,352,246,182,625,827,737,
971,813,276,252,638,654,005,719,988,712,528,437,055,844,745,809,151,500,333,
733,445,864,644,843,563,786,718,047,637,341,851,059,125,881,515,108,698,443,
207,627,427,873,138,034,311,967,601,349,093,817,003,530,286,202,092,256,373,
042,931,398,426,599,839,198,506,869,606,638,846,637,423,829,636,907,204,392,
971,017,960,706,016,859,668,889,358,105,792,835,588,865,672,708,969,101,387,
874,369,476,557,705,614,754,496,699,333,973,523,533,686,046,134,490,511,268,
564,551,304,453,161,608,053,210,344,800,541,958,663,026,432,868,157,525,436,
545,127,267,701,813,705,545,081,791,573,534,670,224,533,734,716,661,926,879,
779,139,026,618,536,598,814,858,366,784,868,171,928,396,156,532,922,673,916,
184,251,169,927,209,918,997,496,233,006,286,213,398,834,890,489,155,577,546,
083,372,770,020,458,569,227,344,138,520,604,976,696,203,108,214,575,558,747,
455,632,762,587,623,014,868,261,958,244,533,186,832,199,716,681,903,010,935,
337,183,819,329,930,836,603,933,958,820,468,148,753,766,293,242,124,389,672,
895,492,678,346,828,119,498,902,241,523,679,553,821,875,887,604,639,990,195,
100,967,417,678,645,720,446,836,428,741,597,119,336,550,094,748,336,769,503,
487,801,291,704,452,795,416,259,647,648,284,125,705,183,330,073,951,064,257,
079,962,873,067,452,561,130,637,842,451,551,408,721,226,052,655,771,617,236,
719,705,586,391,269,914,638,469,151,012,958,386,661,729,408,737,592,997,511,
602,561,266,929,758,273,298,922,759,254,759,638,978,056,955,609,398,791,399,
233,550,785,357,934,323,179,890,356,516,168,081,579,738,914,803,996,435,216,
674,789,728,895,944,676,633,157,120,640,410,343,060,752,331,255,789,762,722,
971,840,977,316,089,604,323,067,784,164,038,854,458,211,038,411,336,158,897,
393,817,115,161,082,440,300,920,511,349,968,821,541,646,230,314,795,969,445,
389,868,782,653,612,872,215,728,903,917,343,996,434,426,235,585,570,667,851,
582,495,094,677,591,010,088,350,113,749,427,707,851,588,781,447,802,374,116,
304,205,306,384,956,417,873,242,660,913,793,484,370,566,947,571,985,958,227,
024,398,476,828,104,887,309,331,997,148,941,299,135,533,039,528,118,118,275,
270,382,086,207,814,162,435,419,444,070,381,437,417,671,991,521,489,205,932,
852,798,109,243,990,229,508,160,727,977,549,670,868,526,958,494,161,252,137,
303,467,912,393,887,313,570,961,615,327,617,128,502,255,091,625,635,281,781,
197,158,280,244,798,903,029,241,215,299,128,565,522,716,520,531,462,441,271,
409,431,245,557,176,411,600,500,145,820,994,178,136,887,126,706,953,951,848,
025,272,017,055,013,562,697,513,557,885,708,425,820,395,455,712,225,708,144,
971,038,479,745,665,148,378,714,069,702,313,788,847,257,787,731,487,586,340,
660,316,902,390,855,859,928,466,371,863,295,809,972,505,788,837,000,899,242,
772,129,625,216,562,503,044,280,342,459,861,287,623,546,202,825,679,317,770,
152,656,720,670,775,056,305,851,564,253,961,555,984,285,609,523,026,108,462,
072,493,944,405,424,521,730,388,412,331,392,136,287,628,841,215,570,216,873,
867,920,869,498,892,058,621,855,559,595,975,049,674,080,148,120,223,278,316,
987,083,226,919,239,637,628,248,468,481,392,507,783,926,224,322,319,549,158,
942,322,288,806,876,795,027,587,394,180,251,832,023,714,724,639,193,898,567,
872,215,202,234,482,938,628,318,028,433,369,965,240,331,431,550,174,029,901,
712,529,972,759,910,612,126,627,606,419,702,852,458,414,683,832,479,457,891,
516,662,393,687,831,375,316,040,749,359,732,958,900,070,397,190,680,301,685,
119,734,336,390,842,358,669,582,557,343,766,474,727,666,949,232,178,191,973,
557,989,883,169,898,847,493,266,187,402,897,150,278,980,178,714,284,541,365,
734,822,285,540,596,789,360,230,232,695,671,243,848,987,066,969,483,770,110,
949,411,998,796,612,890,748,227,549,634,782,589,892,605,496,242,727,289,419,
285,703,009,579,864,676,097,713,208,696,238,066,867,592,829,842,225,322,412,
573,731,552,949,245,931,769,098,858,379,399,824,485,154,976,050,759,539,136,
971,253,285,044,044,114,353,545,269,639,514,572,468,153,152,473,592,057,819,
941,299,887,923,246,232,373,099,740,109,961,880,717,205,407,697,907,740,614,
628,527,302,489,869,470,409,897,770,908,385,821,802,863,166,780,065,863,931,
690,018,881,119,502,992,014,540,708,282,435,435,707,128,169,625,162,444,078,
708,463,173,108,924,806,892,466,343,287,687,334,988,358,048,097,852,385,203,
686,609,116,339,338,157,427,925,181,698,529,871,966,824,703,367,480,119,862,
797,438,729,305,077,759,405,186,393,153,053,280,352,450,835,831,065,548,265,
717,932,069,451,006,358,379,852,388,940,382,217,379,991,185,813,449,605,708,
896,166,397,041,294,682,008,821,788,827,525,392,437,819,663,867,297,716,347,
330,088,932,885,746,326,139,010,208,878,725,759,001,179,948,463,802,853,613,
870,773,957,460,953,335,019,689,575,008,210,495,110,684,753,474,392,708,218,
185,227,642,632,921,565,598,402,875,085,264,672,076,721,288,858,333,173,682,
805,623,168,088,937,121,125,195,883,774,997,262,878,462,001,390,721,889,684,
315,401,730,194,082,877,797,502,411,573,854,080,067,157,681,308,796,101,866,
974,590,940,384,989,193,489,456,823,388,210,388,611,481,502,147,968,539,925,
955,292,524,049,294,937,538,024,989,393,621,878,806,855,529,766,158,346,431,
763,421,600,485,669,565,869,887,805,600,093,962,544,533,265,795,495,520,374,
194,404,334,670,901,572,989,215,018,084,123,687,185,200,615,066,647,776,861,
221,667,336,162,417,174,171,707,605,548,631,660,000,903,769,943,016,618,322,
562,512,768,928,076,668,153,466,549,840,113,200,531,908,268,948,602,728,766,
642,844,683,345,959,603,454,502,310,633,598,767,801,993,762,723,550,239,461,
485,663,477,022,638,676,039,249,876,316,140,878,611,764,275,482,267,198,783,
982,446,870,080,197,789,290,850,634,273,703,851,331,052,699,512,822,540,447,
198,907,994,517,159,390,086,681,207,806,097,159,450,296,032,968,280,448,748,
603,991,496,523,300,117,646,247,068,612,773,720,143,883,481,843,291,906,677,
505,374,168,275,101,265,013,850,107,924,797,831,902,744,750,620,720,487,481,
258,478,254,101,242,750,158,314,583,018,284,038,315,736,673,248,534,313,480,
771,554,328,290,179,483,257,769,910,207,308,882,834,864,593,952,575,340,161,
413,114,879,340,062,297,329,715,178,998,211,823,689,013,680,434,306,691,562,
839,074,266,522,007,814,688,692,872,873,700,050,024,835,698,072,648,311,132,
333,654,549,685,197,081,940,368,681,331,664,877,471,293,913,002,799,822,994,
400,233,485,971,782,960,595,063,637,526,452,315,901,816,457,656,712,962,242,
749,015,233,756,040,844,785,703,490,858,255,765,143,730,353,989,771,193,456,
244,136,802,746,942,726,408,090,146,266,862,915,455,278,433,100,520,111,210,
187,515,808,735,210,974,677,435,794,342,731,292,088,486,815,344,520,686,244,
608,342,050,415,517,403,828,123,319,743,381,730,434,329,327,026,223,227,903,
834,238,653,752,314,678,029,518,894,157,725,458,599,679,382,801,421,494,464,
146,464,821,804,792,611,266,796,252,233,335,884,810,713,317,316,264,978,221,
388,341,206,906,387,175,839,012,350,973,000,472,369,337,136,557,522,855,611,
570,042,689,138,846,973,133,597,074,934,988,894,910,500,389,080,282,962,164,
610,121,332,094,652,680,923,631,416,595,137,925,353,823,170,379,771,044,335,
076,385,015,660,544,100,442,473,648,390,407,366,007,160,729,579,539,863,731,
864,345,066,920,155,088,111,391,163,956,887,827,735,758,802,601,054,936,940,
876,917,065,734,407,380,707,458,577,466,328,962,186,428,703,858,207,975,778,
563,238,334,748,170,417,260,598,678,381,009,438,249,431,032,322,841,057,273,
527,571,282,718,531,205,712,147,273,765,592,907,428,158,617,961,919,457,243,
009,662,907,541,898,558,570,621,503,142,596,458,643,490,757,578,714,392,260,
827,215,640,942,137,583,741,974,570,380,001,336,406,409,836,809,011,000,373,
163,382,057,963,247,606,942,289,611,326,303,242,673,917,338,867,979,200,709,
629,353,143,858,638,605,840,837,194,749,664,407,550,397,249,755,070,272,791,
927,476,676,268,649,246,859,226,223,733,813,146,277,959,435,178,490,273,591,
411,011,737,180,048,944,286,305,498,834,310,913,013,829,698,619,060,551,321,
632,413,421,318,452,804,804,433,353,438,379,785,085,587,597,958,742,001,700,
372,577,128,752,487,760,945,527,415,337,385,983,183,136,657,209,564,246,341,
668,028,415,879,925,076,449,571,981,679,094,987,789,332,905,233,669,871,291,
796,315,469,365,622,454,064,010,604,374,880,813,798,090,660,618,141,818,808,
249,731,570,169,800,063,193,202,405,650,770,271,068,103,577,057,247,276,400,
796,723,496,981,662,544,008,082,194,725,049,354,805,416,132,451,850,482,071,
642,454,944,745,659,958,148,936,367,273,056,612,669,257,122,195,291,876,949,
007,540,805,984,453,425,954,478,909,651,707,373,722,191,239,901,244,639,658,
448,408,188,070,925,760,656,567,870,929,016,705,956,959,011,577,827,176,738,
952,012,017,060,583,553,153,532,735,885,330,174,009,676,280,195,166,651,833,
250,998,477,025,003,767,600,027,822,219,992,629,649,975,051,399,414,503,754,
246,418,981,557,662,349,153,543,556,782,166,760,873,314,303,785,712,389,268,
797,195,388,661,008,661,845,279,772,441,164,906,150,398,283,475,623,282,006,
797,633,807,657,510,031,447,075,093,054,197,481,023,206,432,099,521,104,250,
144,763,749,875,444,280,007,688,034,569,183,625,508,789,830,028,822,560,612,
583,399,984,292,088,142,079,617,485,720,327,740,303,045,399,902,232,119,198,
468,624,522,491,973,585,995,081,211,287,684,330,509,385,330,298,270,857,167,
931,638,186,763,249,110,385,627,659,348,478,572,888,384,623,477,919,700,479,
841,199,789,793,210,376,935,127,830,741,515,910,668,379,548,432,648,997,098,
701,576,370,111,085,619,101,988,572,812,949,982,055,660,173,273,349,742,655,
640,315,908,165,957,594,618,241,810,325,821,328,841,441,158,372,281,479,056,
417,098,593,555,337,698,644,628,999,011,972,646,895,170,162,774,635,223,024,
475,091,165,247,048,916,573,444,782,805,005,465,230,212,242,330,229,571,073,
046,511,649,215,529,054,467,166,092,519,914,402,563,424,487,155,987,570,174,
389,315,131,161,244,661,680,271,433,091,476,702,372,949,351,468,221,415,894,
817,493,960,396,268,308,284,405,484,623,665,176,273,756,132,245,110,384,861,
775,085,351,941,016,099,727,275,834,611,021,815,974,995,737,406,902,330,743,
769,314,568,937,720,522,826,413,764,505,972,596,478,843,890,711,071,946,232,
711,014,532,474,676,824,731,732,436,983,472,600,192,876,900,877,423,141,956,
768,447,270,503,049,003,773,737,487,558,644,870,771,877,361,136,169,884,994,
443,566,925,144,498,275,714,217,380,855,391,114,666,246,857,922,038,309,490,
047,026,728,108,682,046,138,401,014,851,415,536,219,689,644,435,966,285,074,
012,736,548,699,320,970,864,517,798,404,304,126,295,160,975,506,749,045,191,
783,815,646,653,594,350,844,532,350,956,237,297,414,345,944,261,901,464,191,
474,533,142,937,755,499,729,721,732,431,959,171,500,753,070,466,661,040,455,
121,980,399,960,315,517,144,385,544,495,400,940,471,791,560,685,271,411,657,
672,710,999,432,407,463,645,337,594,071,148,688,632,038,608,681,896,365,047,
756,983,536,865,367,800,029,780,113,829,132,706,198,790,891,023,499,361,093,
295,230,530,506,494,692,055,050,944,326,965,178,115,049,197,743,905,949,880,
326,903,208,689,761,109,347,970,544,872,960,378,197,644,414,766,132,944,235,
565,148,671,014,035,949,493,016,973,114,349,176,147,003,659,041,465,673,672,
231,181,671,740,068,463,159,692,789,894,862,711,176,317,334,914,223,182,228,
278,604,307,811,840,048,912,011,543,423,755,721,423,515,387,609,393,991,813,
928,416,501,685,102,147,073,377,848,282,318,977,885,263,724,790,748,221,117,
441,743,714,496,639,148,901,586,420,981,929,789,043,049,674,649,267,839,479,
196,727,053,650,173,106,172,721,992,000,089,222,621,362,367,384,608,486,430,
105,223,178,817,182,936,847,371,623,863,415,704,162,224,243,235,136,673,369,
496,181,478,332,151,598,312,814,842,453,049,157,660,999,739,467,004,498,408,
714,834,339,764,600,080,936,210,465,832,972,718,100,791,299,312,909,705,217,
585,406,904,772,052,644,896,379,794,510,859,925,012,640,095,523,708,157,458,
765,456,841,462,007,927,413,851,865,004,299,121,004,440,284,078,649,719,165,
823,804,836,997,548,120,717,529,347,209,913,673,950,928,277,565,883,920,012,
429,145,019,505,065,880,798,089,697,234,832,225,771,628,525,619,452,312,264,
758,521,621,775,391,640,243,306,288,792,098,181,354,811,168,186,338,106,530,
849,557,374,824,499,935,488,261,505,112,269,854,029,419,691,423,545,837,561,
599,688,018,369,351,357,677,060,368,650,488,558,302,087,001,409,795,010,515,
476,522,573,626,599,993,561,676,557,380,087,263,232,406,904,839,399,037,826,
975,901,405,183,799,174,597,749,851,871,178,398,424,195,078,855,166,547,424,
045,086,616,949,645,464,330,298,954,752,898,821,810,978,753,336,452,454,562,
159,803,331,578,756,769,005,417,577,384,091,234,602,744,865,574,908,192,912,
887,044,787,874,872,344,024,487,514,352,029,373,406,210,021,177,834,693,505,
216,103,051,063,499,477,482,958,453,945,426,733,145,559,933,359,705,055,099,
726,050,055,823,871,758,892,945,654,814,335,229,998,330,328,279,434,348,304,
151,929,857,735,924,645,936,549,371,053,932,422,359,864,371,066,571,653,440,
896,043,190,125,456,347,318,624,847,335,663,692,283,470,419,224,396,424,237,
620,024,486,521,651,943,817,277,849,870,504,966,409,408,883,281,893,350,016,
668,299,378,296,314,107,240,741,471,756,839,278,633,382,147,115,728,018,406,
877,074,678,418,307,508,129,381,746,366,716,520,050,402,236,804,255,551,355,
860,739,463,444,891,676,790,549,998,977,608,744,848,295,846,242,901,682,925,
412,855,543,247,872,895,704,557,282,360,445,064,238,332,984,097,628,169,717,
691,021,428,222,537,492,453,333,296,320,212,271,008,351,942,689,618,432,257,
818,022,824,631,312,794,268,628,152,301,671,763,065,483,530,879,725,799,392,
461,662,795,404,432,951,600,581,384,335,476,341,835,108,330,127,287,460,894,
721,902,535,136,656,671,174,764,398,968,343,612,080,909,599,113,283,624,825,
832,427,277,816,495,153,880,779,010,674,194,802,991,162,413,876,220,421,277,
843,870,838,890,383,101,149,517,265,879,635,954,456,459,224,995,045,964,334,
272,226,471,668,930,474,105,913,500,686,517,650,376,939,150,756,218,296,095,
878,015,227,507,156,635,770,321,085,108,803,154,711,568,301,204,893,871,070,
010,312,817,672,273,535,693,528,104,663,328,245,650,892,559,611,969,491,838,
727,749,820,613,778,164,176,975,051,907,760,454,512,500,110,053,440,893,787,
527,639,235,205,642,697,725,747,646,145,886,435,288,545,876,750,491,545,942,
729,612,959,319,406,184,210,238,568,174,640,692,531,008,068,813,223,257,080,
587,810,102,053,439,674,511,761,202,879,574,050,304,031,194,839,087,554,008,
079,440,026,309,688,276,585,988,148,140,040,069,806,706,217,429,687,659,358,
605,643,540,302,454,372,822,211,251,741,354,776,264,518,456,190,822,142,520,
897,607,323,297,978,508,328,560,504,905,025,853,323,513,750,926,604,337,656,
503,972,552,631,580,309,682,384,552,822,554,412,397,416,535,159,461,590,371,
751,946,669,521,512,969,654,339,916,713,802,548,054,471,162,324,573,592,118,
176,174,761,759,065,309,676,650,896,496,226,440,109,483,455,791,799,554,153,
175,338,576,325,933,937,712,284,339,766,527,187,094,519,204,026,455,775,880,
741,269,713,006,059,442,995,975,738,868,357,936,261,520,396,311,480,742,248,
837,444,155,964,158,753,602,946,379,639,416,728,165,276,416,076,866,583,669,
844,152,846,261,499,109,103,243,567,943,407,088,874,415,413,265,246,405,641,
796,863,332,581,940,209,119,043,576,692,156,913,183,760,261,473,007,563,672,
914,891,622,280,017,104,423,275,133,473,764,989,629,627,856,090,708,711,521,
887,716,762,373,385,574,130,363,959,140,508,817,916,926,190,867,834,451,410,
804,014,080,855,754,138,916,501,422,360,777,036,805,669,872,417,574,769,819,
022,011,628,290,961,305,990,549,482,851,155,148,321,311,721,090,099,930,042,
193,001,662,284,528,003,036,105,554,785,686,798,193,568,304,675,064,548,759,
143,195,864,987,017,483,886,953,085,646,880,801,010,225,499,267,285,977,467,
816,755,246,450,660,776,563,602,734,952,566,725,270,770,867,597,938,411,838,
283,387,211,672,563,318,373,904,825,725,483,915,760,998,267,717,885,108,682,
890,374,427,885,537,613,398,689,335,433,238,841,896,476,827,314,510,588,831,
008,341,074,021,420,850,848,639,995,687,910,040,634,900,690,959,529,586,388,
996,334,108,780,155,190,105,097,759,099,614,462,439,750,908,823,628,110,352,
822,863,345,751,829,591,339,424,795,971,160,047,413,165,428,865,153,893,225,
263,712,942,092,680,504,026,780,220,753,104,043,668,604,139,993,478,005,674,
911,518,706,655,909,036,641,791,995,043,293,992,800,763,932,117,149,365,789,
251,339,856,122,730,721,696,583,664,579,404,265,643,389,087,220,008,611,105,
419,112,272,903,176,941,997,720,008,842,477,661,194,231,913,825,167,474,131,
465,931,995,847,186,563,944,636,288,721,691,896,293,878,365,825,998,772,876,
728,609,419,979,517,885,317,026,179,900,593,181,718,734,866,831,855,139,741,
348,834,456,222,182,727,859,683,782,479,875,059,934,585,611,984,523,210,522,
847,564,216,016,319,358,309,830,606,468,029,537,043,437,766,176,055,389,537,
523,246,511,545,712,708,548,259,908,536,899,306,743,085,968,937,293,406,711,
193,086,407,556,067,922,880,670,428,481,643,671,681,861,518,974,803,834,442,
366,972,810,372,092,298,946,280,745,333,876,928,355,764,470,903,979,980,855,
758,790,447,379,331,276,733,746,061,689,266,138,405,617,641,932,505,447,276,
860,432,445,758,081,182,357,813,014,241,428,258,821,074,360,128,361,348,736,
826,563,019,891,633,715,917,438,115,865,871,297,470,497,496,141,005,772,684,
623,193,474,660,881,142,072,023,999,200,273,502,115,192,023,466,603,956,048,
982,384,223,027,651,530,860,798,551,107,337,438,914,246,906,186,920,145,741,
449,567,597,436,385,192,054,148,166,177,692,523,809,644,213,307,036,100,314,
462,686,942,266,490,132,027,093,137,330,132,920,355,647,618,295,031,084,240,
336,030,477,544,187,010,427,762,143,379,282,153,535,560,006,907,881,967,092,
719,989,408,440,491,810,587,744,240,874,082,697,377,956,447,486,043,048,552,
922,426,109,495,897,634,475,192,178,161,653,454,148,516,595,696,382,552,545,
696,211,543,001,074,989,714,335,452,872,796,006,703,950,898,686,179,754,561,
640,584,312,553,705,561,620,329,263,911,393,574,129,400,719,687,240,364,652,
139,856,025,481,724,299,146,664,144,434,268,653,237,808,694,647,858,119,424,
222,811,852,409,881,742,734,334,866,765,251,178,214,331,663,318,114,682,072,
382,474,840,099,243,508,643,904,219,453,160,229,170,212,764,854,519,988,334,
408,058,668,857,064,873,798,163,260,726,940,920,267,652,258,776,455,923,771,
128,027,738,136,941,685,303,953,654,776,034,875,376,358,109,754,953,966,772,
733,489,569,431,409,749,552,913,455,392,046,973,380,390,990,726,232,140,853,
458,384,359,216,683,045,045,111,495,988,686,244,079,468,056,494,149,513,650,
888,810,485,498,150,469,236,807,690,464,555,365,038,918,497,991,089,763,268,
486,752,962,992,368,099,277,051,184,719,489,578,702,181,420,908,582,404,264,
328,235,815,960,328,400,157,013,261,758,197,246,559,540,923,870,635,851,811,
274,424,213,527,950,277,464,439,017,897,827,879,240,482,234,150,507,207,361,
007,550,313,127,155,395,006,683,344,178,446,838,924,466,497,889,710,796,421,
444,416,355,449,207,910,313,682,119,545,641,320,914,153,448,312,179,656,399,
851,196,331,287,836,234,547,505,427,305,373,218,566,289,565,946,364,434,151,
294,776,683,616,019,756,888,468,906,279,317,565,723,807,951,276,841,695,430,
375,902,028,579,663,192,918,229,274,686,204,865,843,626,475,008,969,298,098,
588,376,329,602,249,025,590,359,037,825,558,319,504,471,145,943,880,228,490,
192,865,995,604,959,553,944,683,081,265,470,366,533,583,604,036,658,254,379,
653,506,585,994,102,664,173,815,169,293,535,184,586,035,472,934,461,078,641,
847,370,636,696,777,243,828,890,970,705,974,299,788,696,122,099,176,279,504,
840,414,875,886,317,677,011,004,301,615,475,003,481,253,136,588,605,692,698,
202,063,492,294,650,198,547,543,150,380,530,146,074,995,578,825,152,374,529,
233,176,342,898,710,809,080,527,220,514,062,869,458,780,921,771,104,744,266,
948,474,277,178,069,854,570,257,510,397,145,117,722,804,010,761,661,728,542,
920,369,549,348,565,304,944,253,066,321,219,105,345,280,723,245,955,984,816,
200,656,001,048,418,884,750,348,137,883,055,823,813,401,775,860,918,887,505,
931,773,806,457,192,227,009,509,947,645,043,326,283,562,572,646,389,339,374,
662,296,498,792,121,919,840,648,406,099,795,094,749,529,635,089,901,602,515,
928,396,751,351,227,081,320,775,374,535,128,617,489,712,420,992,625,076,814,
194,601,159,608,061,802,042,357,752,851,255,347,103,485,311,084,256,406,439,
121,701,740,955,063,907,176,310,008,678,332,606,269,330,172,172,715,834,504,
303,771,764,779,543,710,216,620,280,021,399,528,779,060,509,697,486,624,457,
581,204,131,716,403,012,811,924,648,735,100,422,565,668,002,509,244,311,267,
235,684,816,360,644,445,146,142,887,125,286,253,462,063,124,446,983,563,477,
386,775,867,909,645,958,081,986,353,918,366,764,264,531,527,984,880,287,629,
836,304,419,758,583,678,254,271,334,881,047,671,041,386,477,518,310,577,458,
608,583,638,600,983,938,822,466,452,097,902,209,983,832,189,300,262,548,588,
522,893,693,502,703,035,374,419,610,615,294,373,344,730,280,802,871,067,991,
402,924,557,617,380,590,966,971,729,627,694,984,000,546,782,499,277,887,844,
414,424,997,125,916,202,275,368,409,478,281,658,408,146,291,675,358,676,613,
060,931,203,338,901,984,329,420,159,391,532,874,906,299,805,696,048,984,831,
378,549,842,639,892,339,852,679,124,067,878,393,213,292,572,082,952,961,574,
703,095,954,371,134,549,355,854,130,201,681,619,038,568,738,345,332,364,315,
023,801,411,782,433,705,526,925,215,305,801,813,653,931,016,694,703,988,152,
188,750,770,435,070,224,807,456,651,953,323,903,210,681,070,474,614,446,543,
093,978,581,145,588,001,894,990,811,103,455,936,014,492,219,357,326,588,127,
917,855,239,305,970,618,724,836,050,460,448,080,158,125,790,955,663,284,860,
388,683,551,275,392,366,604,802,720,435,133,930,247,474,884,568,579,163,668,
481,700,014,265,356,015,998,587,128,939,016,790,053,813,490,452,377,901,765,
437,837,022,261,084,962,260,382,361,503,588,395,907,969,412,606,543,423,970,
396,948,212,331,287,213,804,173,974,008,383,193,781,108,648,779,942,441,645,
545,356,918,048,679,427,861,365,935,812,156,322,884,158,488,793,358,829,451,
143,834,462,289,497,902,353,522,281,688,829,103,669,408,082,240,461,640,193,
736,950,429,583,133,572,796,911,234,219,648,028,680,113,449,692,601,712,816,
315,743,891,806,947,030,534,532,220,248,369,982,281,290,554,298,007,696,543,
800,374,089,547,935,096,984,776,746,376,696,085,382,660,502,033,529,535,733,
888,286,220,674,894,753,506,100,102,471,341,914,185,894,102,902,612,805,788,
546,582,497,642,217,196,671,001,098,444,171,926,326,670,936,896,319,734,689,
500,765,947,891,254,244,399,582,861,516,537,929,607,981,349,024,671,814,973,
367,450,499,394,428,995,266,831,523,236,962,569,980,774,666,186,994,558,971,
992,722,326,605,689,744,941,662,897,329,211,660,277,029,364,519,154,916,386,
959,062,932,645,562,273,940,401,695,264,142,727,294,821,867,667,847,565,743,
547,634,488,858,911,614,454,688,310,281,022,486,278,681,835,828,305,700,441,
045,019,985,025,766,874,018,467,735,190,980,717,118,422,424,045,757,138,558,
172,485,591,983,587,435,897,040,878,857,346,693,099,840,421,843,780,816,548,
649,031,999,200,069,773,544,577,924,601,362,006,882,010,415,732,334,856,598,
593,001,678,904,432,812,851,708,685,966,084,044,659,196,783,596,424,449,358,
731,645,785,791,386,215,560,104,215,990,123,882,314,769,122,501,230,107,282,
096,752,507,910,750,073,753,165,338,525,634,940,196,689,000,015,165,214,913,
984,775,248,893,079,310,421,848,434,527,358,848,663,494,938,634,278,232,176,
860,897,933,932,569,704,858,209,039,673,260,393,437,356,140,946,079,478,711,
026,840,741,187,154,680,580,062,263,932,555,452,304,284,481,855,521,296,497,
668,142,100,890,231,687,053,609,898,122,560,990,191,025,041,886,434,730,625,
104,760,474,934,001,406,736,387,521,970,527,156,945,136,881,137,574,778,835,
159,406,098,215,288,004,621,237,247,757,327,695,047,525,197,901,895,508,508,
939,967,765,853,152,161,175,871,366,048,199,938,985,804,567,686,027,781,434,
928,926,833,547,611,528,569,405,190,836,767,482,809,247,065,263,006,414,924,
270,657,451,111,533,110,777,202,902,492,552,676,022,966,549,808,802,211,830,
259,624,282,953,883,257,025,562,063,916,209,655,601,669,866,327,531,492,588,
676,356,151,555,815,881,642,151,630,478,096,564,856,347,810,111,922,429,438,
191,936,698,876,073,616,260,594,047,803,347,910,183,635,533,368,105,212,926,
596,019,208,984,130,630,704,708,464,795,721,271,561,672,361,998,771,207,017,
426,294,057,154,989,038,652,630,282,635,953,497,669,240,059,890,602,136,391,
043,612,480,616,730,500,421,495,074,903,048,512,005,972,264,517,485,851,143,
260,586,142,094,382,571,807,161,588,101,492,891,147,795,860,788,577,752,325,
279,451,397,037,847,725,012,179,698,538,710,471,608,658,534,941,232,823,787,
915,689,833,618,237,650,492,658,901,335,223,647,945,237,249,424,116,625,409,
888,605,779,173,855,333,261,769,050,480,014,881,737,870,679,527,334,254,590,
611,832,348,342,888,380,408,243,127,995,191,026,603,769,621,949,522,141,416,
392,238,327,073,803,652,056,595,004,895,138,240,126,902,918,704,863,806,214,
069,732,356,260,135,453,964,639,081,961,353,198,152,345,549,786,487,861,473,
895,514,182,448,496,085,439,458,528,229,057,803,332,360,342,302,258,067,687,
592,004,006,235,036,041,857,301,307,644,027,387,602,878,816,110,508,983,929,
598,778,693,666,634,514,029,268,996,935,780,551,052,983,144,898,063,562,997,
673,209,471,866,908,589,820,461,570,390,055,119,516,785,682,163,306,340,059,
277,254,067,732,788,650,077,067,204,834,813,868,559,864,634,949,168,725,371,
271,324,373,148,846,560,756,219,690,116,736,662,624,528,866,309,829,806,427,
037,337,109,689,825,041,048,784,789,638,662,786,845,270,163,544,192,578,505,
560,430,432,179,978,086,706,790,721,890,006,832,559,726,042,324,520,811,075,
527,962,163,449,981,624,356,822,502,958,135,953,773,434,106,277,166,766,172,
792,103,187,894,880,660,673,395,313,097,366,595,368,992,631,311,786,821,463,
896,086,357,154,750,907,883,044,362,309,368,410,098,904,866,527,856,116,149,
987,485,422,515,473,555,831,979,617,609,470,235,750,454,130,294,196,489,903,
384,704,912,651,023,684,438,417,242,060,803,133,341,155,136,588,606,588,112,
406,879,914,366,403,011,741,769,875,612,955,560,102,696,762,447,219,606,649,
191,354,327,349,948,470,599,461,497,422,933,136,352,350,881,561,317,180,629,
122,209,143,897,521,559,078,793,978,203,653,462,196,091,516,855,180,235,306,
880,439,113,669,654,678,893,474,119,479,064,061,231,008,769,508,628,745,173,
328,252,064,269,504,794,768,937,773,329,058,498,819,901,817,822,182,689,301,
785,583,211,368,085,831,424,287,636,541,955,792,336,263,493,091,653,924,668,
687,922,060,163,199,613,803,635,161,363,351,208,828,423,178,074,644,889,618,
341,612,449,307,992,965,415,874,983,640,103,982,029,202,889,102,854,555,139,
501,751,587,388,049,125,732,490,266,545,211,879,054,070,793,276,033,396,476,
080,872,211,237,674,197,437,982,834,494,555,551,967,521,995,638,578,391,563,
869,655,088,641,219,091,069,321,479,486,498,074,593,301,491,660,773,221,685,
723,392,807,000,003,793,392,767,780,018,166,867,296,950,388,445,161,140,181,
414,091,604,824,757,323,552,777,747,734,078,621,036,732,552,359,304,080,827,
795,180,805,869,724,623,497,733,560,230,286,062,414,927,655,018,077,403,220,
185,510,254,978,685,408,769,780,450,580,784,332,850,232,165,218,489,169,369,
070,642,778,516,100,495,423,668,838,566,674,989,430,840,615,818,260,639,076,
543,603,433,096,415,760,471,820,682,516,121,104,065,457,569,548,543,243,949,
114,674,335,028,749,383,682,246,299,168,001,859,482,353,605,418,968,242,038,
533,159,942,832,354,566,190,543,396,548,229,268,682,601,655,543,803,983,382,
645,752,903,161,180,003,463,723,069,121,572,399,501,669,373,356,628,532,103,
044,425,685,248,121,912,530,612,998,549,104,821,754,546,543,779,561,189,071,
070,048,331,413,596,319,021,428,467,412,064,016,382,860,580,100,144,231,298,
293,027,028,380,660,998,821,583,479,634,261,203,306,457,737,457,038,714,152,
013,858,325,610,506,571,492,009,862,491,334,737,051,840,019,268,459,415,809,
204,116,881,492,777,816,924,352,083,609,231,747,376,350,144,498,473,113,215,
649,243,573,341,897,354,701,302,080,724,053,378,698,560,418,248,583,677,952,
857,725,733,715,362,408,712,487,821,681,018,880,147,460,391,451,021,744,799,
522,639,627,937,643,366,783,830,314,957,313,945,778,561,191,436,112,321,281,
452,775,627,021,334,874,343,978,314,804,417,622,225,657,400,828,031,739,078,
284,550,265,139,522,365,137,436,691,963,136,795,235,066,635,709,982,684,641,
959,441,166,637,536,823,367,348,736,205,238,104,859,005,254,586,344,738,806,
556,678,482,584,493,237,612,971,358,190,103,515,386,518,587,103,309,091,450,
717,219,938,822,376,457,823,885,646,741,166,607,796,667,144,264,698,979,530,
049,360,010,330,122,292,119,974,903,272,722,907,417,830,484,603,688,488,530,
902,204,138,207,192,889,041,863,934,216,453,639,454,794,433,440,217,827,920,
702,604,709,682,285,935,892,010,963,123,824,489,047,620,007,761,073,659,440,
393,325,512,281,697,410,822,154,931,187,194,471,460,558,102,287,088,211,547,
420,887,443,601,928,764,287,932,557,678,304,045,757,699,019,640,023,049,103,
146,197,060,672,094,086,651,496,596,807,802,225,629,029,679,672,718,295,258,
068,547,140,101,041,170,239,122,495,360,015,607,528,049,478,536,118,959,786,
427,064,764,006,394,229,328,301,242,587,218,854,274,795,599,809,453,903,147,
661,016,245,320,390,364,690,569,668,253,808,963,430,563,885,280,185,357,564,
136,835,415,698,861,743,268,100,352,512,683,903,801,850,055,521,965,395,792,
036,931,835,185,421,515,778,536,381,220,694,074,724,391,290,855,696,227,439,
028,924,401,535,931,306,761,585,934,706,067,148,119,912,730,221,546,495,985,
077,639,818,214,267,601,245,190,961,346,607,826,886,553,861,283,405,341,999,
567,317,691,448,511,113,031,144,467,061,048,293,222,819,552,983,548,375,884,
502,232,563,652,260,286,740,208,778,517,401,073,120,381,958,306,799,364,436,
607,388,270,241,988,753,368,427,924,727,016,300,622,499,100,547,749,547,382,
085,521,730,829,229,752,479,960,058,841,686,213,836,644,373,062,342,951,036,
857,470,211,405,341,579,959,014,958,587,652,042,772,084,680,043,529,638,468,
892,033,658,347,038,224,920,311,683,046,609,061,490,981,591,529,899,111,760,
916,216,053,910,001,252,013,914,789,616,469,309,212,572,523,698,858,127,430,
776,275,603,642,504,945,469,303,644,357,568,801,321,564,068,601,340,506,970,
925,134,768,110,827,415,945,246,038,081,427,855,287,831,314,605,876,435,026,
500,757,226,221,997,248,343,662,128,825,323,688,288,565,207,347,663,855,054,
426,691,141,382,976,793,556,643,790,384,130,531,573,158,321,106,574,825,597,
564,723,013,899,154,589,983,763,236,086,787,596,797,534,682,557,095,071,890,
982,628,380,985,027,979,963,308,179,725,185,472,340,251,511,105,158,030,080,
257,917,765,033,561,190,369,989,295,025,004,086,287,731,170,506,478,804,488,
075,631,225,837,095,422,300,744,626,203,813,591,229,203,814,410,837,589,827,
782,143,727,638,885,238,973,368,875,182,793,698,245,266,986,350,869,560,772,
823,582,018,753,521,259,495,073,946,126,913,205,758,497,617,594,521,701,110,
510,496,694,091,069,295,644,956,803,065,247,998,516,761,380,200,020,474,199,
057,056,923,177,347,628,569,970,973,459,088,938,430,849,611,961,227,866,715,
802,026,458,444,712,963,449,817,970,181,895,691,598,095,791,972,655,039,105,
931,896,710,711,124,359,279,388,213,498,108,007,052,925,953,318,046,133,528,
495,652,801,072,146,455,004,935,059,501,835,089,507,653,125,692,780,868,580,
598,920,087,556,315,141,369,987,873,774,711,612,695,119,733,726,786,512,006,
608,439,119,455,470,457,166,979,961,516,261,571,262,134,599,747,928,086,782,
371,135,839,029,374,563,523,041,910,741,577,440,891,170,717,492,961,629,424,
343,536,280,628,818,458,639,428,736,974,550,453,966,511,731,331,473,570,419,
362,162,901,143,904,283,100,213,666,893,225,919,499,672,815,254,532,579,598,
671,757,769,921,269,135,811,929,995,826,805,770,380,455,966,483,042,087,126,
773,230,779,521,289,746,777,771,962,735,747,961,511,805,670,610,721,849,615,
469,276,112,488,844,907,295,351,952,982,358,092,127,515,248,602,962,062,542,
995,802,715,354,591,427,424,630,364,783,629,477,244,132,235,565,608,823,024,
655,046,273,956,125,834,474,295,202,801,300,429,647,348,388,318,859,330,453,
981,491,558,012,271,885,177,696,640,577,557,042,566,433,517,291,620,505,569,
289,342,701,706,306,432,600,796,895,759,272,175,451,628,956,087,075,773,424,
348,054,649,813,440,532,214,637,556,906,790,421,101,547,012,150,946,399,146,
399,516,418,814,955,121,540,216,796,338,951,765,283,332,458,716,215,974,901,
379,428,949,393,172,447,087,290,676,489,250,406,840,283,584,504,999,738,145,
395,141,890,693,909,506,512,046,072,914,445,751,883,256,405,815,811,051,534,
753,297,700,212,305,351,733,260,186,252,016,267,773,589,422,498,441,620,096,
831,390,983,591,513,101,766,951,138,325,617,609,404,311,507,575,848,385,941,
232,027,066,604,322,872,483,204,485,171,628,990,284,303,662,740,696,925,397,
747,551,497,293,688,908,185,154,186,590,028,296,448,804,711,034,966,368,659,
180,304,087,860,439,421,552,702,131,608,152,231,742,054,324,950,379,731,012,
243,442,466,407,641,464,302,899,517,477,123,579,182,509,818,598,192,370,715,
222,231,298,141,995,738,061,464,360,923,549,928,640,368,589,820,999,223,754,
814,972,480,010,160,365,586,174,128,964,561,173,975,304,445,972,647,110,220,
394,691,038,678,109,489,283,684,889,713,782,992,677,261,095,481,209,284,353,
864,597,864,926,646,419,456,278,266,079,712,433,000,269,856,133,009,510,494,
426,335,033,224,048,917,559,711,423,966,404,929,905,060,978,761,619,697,064,
620,326,607,231,519,698,568,238,950,614,773,361,311,827,808,515,901,269,434,
059,576,251,134,793,270,633,385,263,304,535,716,365,445,346,879,692,829,932,
694,374,379,329,031,676,344,314,140,232,878,404,253,782,422,944,218,610,286,
559,914,027,570,334,928,329,068,756,109,669,103,613,964,423,164,043,625,772,
277,758,729,050,437,847,393,421,735,697,011,998,015,116,834,444,764,473,518,
909,839,999,228,633,550,882,975,809,420,905,494,021,519,961,404,738,709,795,
472,899,579,066,054,814,176,575,940,882,680,738,126,409,388,371,323,424,949,
731,428,452,629,671,168,848,635,790,669,988,959,175,115,594,726,495,235,380,
408,764,498,984,236,927,613,209,282,147,093,002,913,928,250,885,877,179,996,
209,303,928,667,884,965,830,480,572,462,983,616,228,242,703,431,329,328,450,
941,002,411,918,846,739,318,344,353,764,999,773,813,781,557,307,070,084,428,
608,559,876,240,159,663,890,823,221,867,118,489,228,683,719,224,417,571,401,
757,771,509,207,524,594,339,590,232,498,618,663,969,771,515,820,107,465,043,
904,724,172,860,704,149,140,483,151,087,378,349,568,514,940,720,541,558,847,
134,321,638,805,546,751,382,186,445,488,031,104,260,027,414,713,183,986,432,
128,688,841,588,144,385,816,168,499,265,439,591,371,655,011,426,219,883,578,
166,892,731,732,575,309,881,042,645,647,788,074,516,009,277,740,977,534,407,
135,077,694,494,654,994,320,118,340,666,157,479,981,820,906,665,493,152,439,
309,094,806,539,201,716,851,086,842,372,783,461,045,640,524,284,262,995,227,
517,900,266,273,844,483,153,065,596,323,336,471,990,754,819,298,787,041,952,
668,063,350,960,702,504,028,633,961,253,260,392,376,401,522,498,469,361,211,
115,003,899,656,597,578,680,990,994,574,127,881,689,476,876,199,311,605,415,
308,205,522,280,249,873,512,195,618,906,466,168,712,707,804,183,271,109,213,
174,065,091,421,464,599,282,389,738,809,094,910,744,195,212,089,988,186,082,
407,351,386,544,715,915,753,738,072,300,086,991,863,116,119,969,291,534,615,
879,686,230,428,516,979,259,149,213,091,354,016,175,474,238,563,080,091,571,
738,912,928,350,704,200,189,170,718,713,301,277,839,364,400,901,160,888,961,
734,980,641,246,155,599,190,961,467,547,496,067,501,576,141,263,108,592,526,
653,478,086,943,551,476,526,165,564,534,852,219,417,903,969,497,456,543,683,
584,227,326,495,284,550,394,143,835,045,705,944,588,250,686,781,708,464,423,
138,543,916,801,853,136,079,795,555,571,836,355,215,382,656,134,964,388,575,
340,159,523,231,455,605,937,415,120,126,326,567,883,721,027,056,092,677,852,
942,731,655,411,908,158,312,676,833,139,639,514,653,828,796,089,364,240,538,
012,346,899,365,626,507,459,546,282,255,725,951,510,415,505,678,522,866,897,
697,655,468,013,060,840,476,759,333,455,936,824,510,591,314,694,194,151,918,
622,160,169,607,951,107,877,133,524,469,897,968,028,169,607,070,252,923,541,
033,077,670,571,871,308,793,874,575,658,173,262,293,374,002,243,590,904,296,
233,267,158,282,463,769,375,839,290,334,225,879,385,357,638,879,720,736,490,
752,165,839,186,187,727,733,635,211,943,746,622,182,902,289,076,394,245,061,
801,351,724,322,653,135,081,287,956,462,735,651,015,764,555,892,853,279,142,
954,348,207,216,464,870,463,579,492,951,306,793,840,982,619,036,050,980,098,
696,053,416,587,282,611,561,094,166,324,135,707,016,459,860,339,934,986,259,
605,649,278,979,669,228,934,029,105,905,468,036,203,923,380,288,764,208,690,
859,955,032,378,852,218,071,003,886,242,984,036,810,650,402,128,274,386,927,
614,191,848,027,533,694,409,661,530,143,461,623,718,246,553,623,309,182,359,
245,440,010,140,403,989,765,776,531,190,037,144,492,111,713,012,781,556,888,
556,778,947,860,042,619,005,636,383,197,604,543,327,994,235,742,992,523,105,
689,095,917,682,920,146,828,523,981,797,009,521,323,289,291,595,788,694,417,
912,006,785,627,181,258,521,799,506,403,779,562,204,355,461,845,100,407,334,
551,581,456,105,481,143,377,118,619,975,376,375,695,020,793,530,455,623,285,
010,358,880,344,599,404,427,622,890,958,995,217,160,955,200,189,278,771,314,
414,631,671,645,711,139,676,289,675,855,633,216,215,801,918,864,392,781,890,
933,843,835,363,273,986,778,345,545,803,869,632,590,960,769,887,588,305,874,
857,033,799,493,512,926,881,041,872,740,212,110,785,405,725,655,050,822,817,
014,561,281,969,325,150,727,419,836,369,255,320,210,728,534,568,375,189,862,
877,417,886,125,155,272,663,752,954,766,976,794,638,745,340,164,510,833,618,
923,842,821,855,976,118,197,136,564,171,750,038,287,456,507,732,919,818,699,
372,076,612,953,705,070,457,756,546,873,939,385,893,468,219,000,429,876,159,
714,555,693,135,690,134,075,980,567,387,201,386,864,718,195,323,515,499,703,
328,741,318,924,425,499,626,032,259,318,953,487,133,675,293,824,726,379,937,
605,407,582,311,249,267,862,277,036,173,931,637,443,588,013,434,557,482,958,
056,162,307,031,223,574,767,663,131,173,685,547,340,436,629,397,608,935,278,
406,593,416,590,481,404,497,757,110,079,658,775,891,167,991,232,147,453,499,
660,719,448,832,310,726,252,674,504,196,329,428,632,804,150,814,559,117,072,
209,032,495,988,145,784,697,211,693,521,147,745,774,039,451,646,688,802,970,
212,793,208,511,226,333,917,465,595,067,802,879,976,484,300,241,244,153,026,
384,165,542,901,039,874,237,150,798,847,624,606,846,337,705,956,101,295,613,
962,688,869,915,482,640,960,696,295,827,819,929,918,539,751,567,728,025,432,
363,815,158,658,750,047,128,157,455,651,627,519,336,665,650,970,134,795,520,
451,545,390,479,616,994,184,378,434,922,680,332,926,259,948,994,650,067,506,
334,637,558,326,589,352,210,052,558,672,216,731,638,552,307,684,314,897,845,
390,865,724,191,214,356,659,807,993,251,214,103,702,882,708,381,003,908,604,
982,657,410,438,238,673,615,390,471,723,943,442,531,659,962,946,896,165,107,
848,790,389,058,865,143,497,706,579,137,746,988,116,456,018,977,630,353,304,
607,568,295,575,793,765,480,814,930,210,984,272,842,973,397,701,575,554,289,
356,323,822,213,179,712,588,021,028,217,281,565,221,847,299,827,311,352,683,
477,428,948,312,330,012,196,091,327,004,600,800,844,132,314,753,394,019,525,
847,213,454,537,554,674,581,419,935,082,397,207,955,314,922,676,122,341,783,
899,056,331,407,487,503,000,590,372,881,036,989,571,494,210,608,977,350,818,
205,373,022,388,178,432,543,710,526,935,514,046,291,576,569,375,861,132,856,
568,039,823,599,692,209,036,870,431,539,372,282,134,533,174,860,194,249,474,
494,065,720,520,805,574,244,056,215,378,923,086,275,319,900,615,782,560,204,
466,608,861,637,708,268,238,274,986,259,237,836,665,838,769,300,096,691,167,
059,944,749,772,420,896,138,841,079,149,955,011,928,495,763,731,706,354,884,
575,497,488,665,399,735,227,243,157,315,846,003,834,523,857,965,749,986,167,
857,924,701,568,864,779,224,509,036,643,827,114,385,575,525,307,831,025,809,
935,312,001,871,265,897,881,193,693,525,097,243,084,151,374,318,235,944,573,
621,291,536,875,708,260,977,834,636,274,613,361,325,822,575,626,703,931,780,
528,688,780,479,834,994,040,648,636,335,115,180,770,959,526,182,807,684,234,
980,709,898,378,583,776,684,500,782,486,107,414,471,995,794,113,198,990,043,
634,407,838,234,388,110,054,602,609,421,386,349,416,225,226,513,889,982,904,
773,544,769,363,204,072,595,595,329,422,025,542,117,624,132,142,613,422,488,
707,534,031,624,602,028,036,689,768,698,440,801,804,359,807,172,262,188,964,
010,816,915,217,149,861,430,523,287,679,385,821,439,639,333,966,279,193,892,
419,787,411,864,898,625,158,074,832,304,915,901,070,568,352,229,386,971,649,
684,900,085,319,062,542,129,387,324,587,330,893,419,029,004,409,425,915,609,
551,510,755,714,198,448,981,408,926,240,849,521,089,734,965,191,946,710,473,
018,725,683,079,850,688,789,640,923,969,376,721,887,141,359,988,888,258,578,
875,026,888,641,964,624,828,753,740,557,254,989,356,769,826,059,929,977,071,
299,889,386,391,968,497,500,383,553,578,002,746,160,534,112,350,427,965,660,
549,334,372,640,815,754,737,834,940,456,433,719,908,948,486,188,425,270,108,
578,905,014,017,591,088,011,228,902,087,896,380,230,935,581,057,347,323,097,
599,034,087,162,637,846,476,967,385,540,743,530,374,522,336,008,852,648,729,
689,283,675,264,273,156,217,922,677,984,732,832,697,198,008,839,274,967,765,
281,596,488,888,379,479,547,534,251,536,048,017,741,799,050,181,172,839,911,
814,281,519,615,699,525,979,348,456,547,379,919,174,904,883,849,712,888,144,
755,772,501,682,526,697,430,689,728,987,154,585,466,535,985,651,061,947,953,
841,895,773,190,685,368,568,608,800,347,680,914,892,369,529,342,151,700,402,
103,236,083,404,358,089,887,818,745,066,661,586,726,347,186,898,915,876,465,
131,440,276,942,670,044,508,936,957,522,951,787,614,797,587,062,508,862,514,
685,313,508,941,219,869,647,060,020,948,814,464,349,251,660,845,595,394,229,
335,410,862,799,867,365,778,934,629,307,729,328,209,743,723,462,165,298,328,
028,403,230,749,491,789,204,360,007,597,281,073,229,858,497,627,084,591,410,
047,052,558,228,514,141,940,788,553,710,869,994,239,844,437,361,769,917,223,
919,409,568,431,719,911,655,220,710,517,656,767,070,055,209,069,122,463,260,
737,023,412,877,516,338,230,438,159,186,156,147,722,252,917,559,782,153,582,
883,947,997,837,992,221,772,765,726,541,752,136,238,969,954,166,728,195,839,
353,965,008,076,908,550,703,259,090,090,108,458,859,701,652,997,171,528,799,
498,624,091,033,158,555,137,688,185,338,528,765,685,745,687,809,913,656,795,
347,535,712,283,292,316,522,389,253,882,494,882,219,870,532,521,581,735,202,
313,304,143,761,461,768,026,781,259,475,780,935,662,202,229,798,193,967,194,
696,462,142,069,679,296,906,873,968,820,704,675,424,889,163,064,058,398,043,
993,991,727,871,386,949,446,981,413,563,506,019,231,786,478,032,185,473,933,
946,368,616,203,889,841,739,973,439,057,803,199,584,986,198,213,894,690,747,
039,001,175,295,636,583,725,745,067,171,572,888,729,356,715,371,069,368,368,
285,990,445,596,961,695,800,270,424,949,747,554,084,408,114,228,110,403,654,
970,489,994,460,834,912,495,204,782,783,187,918,924,260,051,916,206,172,458,
713,063,788,659,700,237,763,634,955,160,942,900,058,494,516,789,415,142,833,
879,939,105,232,193,893,921,885,269,961,071,977,545,867,999,869,441,511,724,
507,163,805,991,591,863,429,488,354,023,676,359,540,159,521,937,149,370,112,
352,792,933,734,979,354,069,813,025,499,841,273,380,489,056,864,257,551,225,
341,361,425,540,448,420,497,443,096,831,482,910,259,890,225,883,416,463,196,
470,560,750,289,662,468,058,701,298,227,234,303,470,937,465,494,760,884,383,
618,901,514,323,592,145,716,795,896,351,517,680,001,421,275,249,510,201,599,
498,232,875,283,007,377,947,409,242,199,418,247,733,226,552,512,702,122,959,
586,033,948,512,493,306,898,887,755,659,708,708,212,209,652,381,902,275,188,
730,892,387,750,129,492,252,802,912,444,416,200,125,140,604,931,926,382,654,
168,070,579,339,895,512,929,594,087,322,039,557,785,855,284,505,013,554,286,
726,938,456,696,514,266,711,076,530,158,386,357,353,448,384,953,519,627,928,
401,161,367,508,003,843,799,444,829,737,784,852,050,936,785,401,014,275,398,
383,847,094,933,269,472,482,852,741,283,308,237,526,936,539,211,700,888,782,
695,466,123,729,858,475,585,645,321,516,284,573,198,594,170,016,476,034,779,
388,086,709,091,700,210,475,015,831,222,307,151,181,476,988,166,657,316,712,
740,065,699,476,663,367,987,692,310,032,967,318,285,931,147,312,410,083,969,
328,832,079,549,396,169,302,656,540,903,251,124,114,620,205,311,219,410,136,
931,453,632,746,164,071,222,592,513,995,166,153,454,633,084,647,821,792,087,
035,368,191,651,097,789,019,026,477,693,347,889,280,175,438,708,545,913,213,
328,208,399,552,007,040,185,321,905,081,141,565,493,244,708,278,166,938,291,
736,827,880,704,841,198,426,247,084,242,358,504,066,295,526,646,897,551,906,
805,516,974,773,527,146,820,524,137,399,511,427,569,380,242,831,855,452,987,
666,861,947,583,305,119,033,887,563,904,685,707,488,968,754,391,315,331,050,
425,988,789,180,128,332,726,883,693,653,377,488,482,928,486,478,319,315,649,
039,491,173,731,632,480,361,247,753,925,719,668,143,427,303,304,666,574,741,
560,091,392,033,419,619,242,267,575,242,831,680,557,168,694,606,453,024,278,
289,865,853,757,230,751,281,563,830,073,744,784,546,545,582,525,678,566,710,
116,849,880,738,320,234,945,490,331,126,127,410,032,461,299,626,002,108,607,
540,969,146,550,909,470,379,786,650,982,417,792,934,135,116,916,113,577,902,
752,360,978,973,425,713,445,232,569,514,262,854,714,245,837,722,003,111,320,
745,564,261,805,990,134,326,636,569,891,272,620,577,032,520,179,172,870,799,
437,143,668,109,890,669,356,520,674,955,189,842,641,332,138,621,193,675,475,
781,229,562,716,403,146,165,073,095,869,886,052,003,782,635,377,229,382,634,
986,625,632,773,655,854,154,975,902,982,124,150,432,311,640,274,842,456,132,
893,440,441,398,201,315,210,525,713,438,628,005,837,146,428,133,368,680,548,
044,039,166,982,333,720,007,937,813,102,141,580,241,864,749,688,672,065,268,
628,797,604,890,032,898,977,963,376,670,537,788,846,139,297,118,773,283,889,
822,242,087,562,612,630,565,697,502,611,199,656,711,713,652,272,589,819,270,
773,055,375,029,403,959,313,825,210,513,940,828,248,947,990,524,114,280,748,
503,273,637,198,769,819,868,868,382,982,551,704,184,296,449,319,382,541,357,
363,168,521,214,245,147,166,930,945,143,597,525,231,448,668,341,638,244,790,
795,339,201,055,645,286,755,259,372,179,871,233,786,941,822,909,250,327,946,
174,708,138,130,067,698,852,250,344,600,735,032,610,404,818,690,239,026,404,
548,301,094,474,471,354,414,247,156,482,746,871,299,625,864,816,579,704,043,
107,897,982,714,331,273,954,309,066,700,332,025,096,810,948,136,014,577,607,
484,927,782,623,694,531,692,394,892,639,637,179,786,231,098,033,230,015,423,
418,989,965,376,959,751,699,860,295,404,455,329,097,271,694,341,513,225,798,
872,796,783,369,961,660,866,564,757,345,391,503,951,737,659,494,334,625,678,
904,543,323,242,789,260,395,479,619,257,981,710,944,635,746,412,041,682,451,
786,264,779,607,114,918,343,465,925,444,522,398,240,789,613,071,494,012,633,
513,946,102,900,749,999,366,453,078,597,362,047,870,998,364,908,850,616,656,
087,576,947,514,325,639,938,388,551,281,985,847,627,560,592,976,341,762,000,
328,800,877,775,840,383,842,183,027,216,679,418,290,785,299,988,982,992,877,
297,014,193,337,271,387,697,018,911,955,517,229,687,395,248,836,933,148,600,
035,110,607,828,804,547,593,734,904,288,175,078,269,556,786,009,856,476,901,
669,468,842,421,174,585,387,550,961,838,103,988,945,739,725,780,865,726,834,
671,101,204,922,268,143,295,094,955,350,122,503,306,867,361,698,299,759,223,
992,683,937,196,190,832,659,598,445,257,403,724,360,242,271,976,498,489,276,
222,196,979,306,037,306,056,269,812,724,200,072,491,931,014,149,907,348,203,
668,279,630,556,848,018,756,447,190,572,026,128,669,191,648,858,903,192,775,
361,171,169,491,675,593,259,663,743,191,348,639,170,536,290,900,725,337,173,
044,911,191,709,918,056,138,491,017,917,475,162,669,978,622,030,797,184,346,
063,412,013,280,719,668,608,006,450,804,682,817,074,784,259,320,675,254,963,
735,741,525,558,459,109,692,883,516,706,621,101,489,905,942,269,097,553,569,
531,800,898,507,992,599,868,781,551,807,115,736,101,125,581,932,352,991,298,
980,699,923,525,234,652,149,082,827,577,232,455,384,770,575,772,847,538,843,
139,490,318,692,279,349,316,324,974,916,579,076,277,551,804,699,920,388,274,
779,142,409,935,286,221,633,780,571,914,761,183,772,779,783,828,994,265,517,
126,683,569,045,978,203,639,510,066,987,325,373,873,770,855,597,805,009,808,
077,887,264,559,627,541,293,801,977,087,834,524,163,398,249,045,380,128,835,
901,129,521,525,379,442,411,241,984,423,951,223,811,278,522,098,829,285,425,
139,997,608,909,943,649,819,358,625,167,421,004,468,288,837,813,740,701,111,
730,349,068,557,960,834,467,302,276,544,652,274,942,689,108,183,546,384,559,
052,333,817,317,238,779,750,948,642,816,683,435,100,514,045,712,194,408,835,
922,895,412,562,475,154,730,871,628,099,107,559,597,110,372,975,178,687,163,
244,531,934,621,932,427,371,807,626,366,361,990,185,782,353,338,690,699,462,
816,101,989,587,894,220,533,618,686,227,702,672,960,926,079,190,693,635,569,
016,330,802,767,711,182,866,886,406,250,880,076,067,228,466,232,439,872,262,
251,058,314,666,854,686,991,643,692,879,445,994,515,627,719,703,138,215,397,
503,057,291,833,077,173,655,904,957,654,465,351,125,548,188,150,534,278,113,
293,938,720,730,608,258,392,402,954,455,823,210,140,764,242,096,288,823,522,
317,674,437,259,052,415,135,499,095,365,288,586,282,462,834,192,311,618,584,
789,136,211,978,314,325,767,619,478,248,584,953,815,126,238,534,355,012,900,
267,588,874,926,950,472,609,916,081,558,856,700,817,600,648,084,065,460,751,
369,775,278,188,869,391,994,534,059,501,132,014,962,268,070,515,212,759,760,
321,436,545,831,905,706,888,331,754,668,600,712,567,322,294,148,061,487,040,
783,059,890,271,654,434,866,877,491,123,001,544,565,876,866,177,839,055,039,
290,226,966,921,818,649,264,983,515,237,752,990,748,425,003,218,741,947,373,
339,982,006,088,441,199,576,464,791,412,545,865,896,171,603,367,366,771,416,
148,549,744,798,700,151,016,003,647,053,077,469,856,869,476,209,452,102,342,
234,458,966,550,357,820,013,615,315,350,816,458,040,419,683,740,762,929,114,
287,064,064,182,473,409,033,457,413,546,655,757,059,338,736,261,535,604,580,
558,195,485,050,524,754,275,149,334,795,332,133,102,456,081,916,887,178,690,
757,000,909,124,676,470,295,045,694,477,222,643,482,639,142,027,994,341,714,
698,028,215,507,811,452,707,190,039,177,598,095,522,024,366,685,904,815,943,
776,698,289,983,740,040,637,095,384,788,796,343,166,614,532,646,100,401,976,
475,015,438,977,415,440,747,376,098,504,026,358,523,542,417,307,325,827,857,
677,283,639,011,659,673,252,964,243,210,145,066,879,905,971,333,657,446,481,
769,942,729,081,231,446,120,659,446,724,657,173,914,311,280,269,257,437,858,
746,941,925,572,803,331,977,437,839,139,450,654,146,970,697,733,096,135,417,
456,126,162,262,295,341,227,062,159,522,831,844,888,196,836,885,158,960,285,
153,337,343,918,458,787,847,678,606,730,853,605,477,207,361,313,196,396,946,
788,886,755,531,940,468,497,448,406,143,549,432,597,316,663,129,370,780,591,
378,077,288,268,368,497,977,098,405,797,976,225,697,389,117,441,441,141,862,
697,138,854,945,523,278,998,144,842,007,565,407,895,459,816,362,290,310,265,
656,219,670,893,300,322,897,725,617,436,387,027,532,983,688,242,030,513,483,
340,428,668,766,725,871,520,424,288,152,929,327,380,367,126,111,982,758,491,
366,578,547,548,905,286,270,129,738,745,979,930,807,409,094,817,276,657,645,
254,058,606,122,610,932,851,205,215,418,337,658,995,336,185,139,495,399,189,
527,434,451,836,105,982,258,853,243,488,846,568,164,288,329,401,600,566,294,
027,761,568,373,572,197,822,098,691,771,161,405,847,112,648,283,689,912,703,
632,377,872,795,952,203,679,368,274,735,346,052,865,093,349,441,938,204,391,
578,957,530,517,282,394,826,833,814,380,710,797,012,771,025,401,822,237,917,
851,118,328,983,407,549,600,976,426,705,522,103,742,889,850,485,340,985,235,
975,160,048,177,040,021,480,736,457,968,064,409,524,555,572,658,656,510,362,
662,046,014,948,285,298,258,625,581,553,567,792,742,362,094,624,529,997,974,
706,132,725,780,738,812,943,931,577,955,798,926,626,365,893,958,716,888,548,
035,699,893,751,214,806,192,140,530,287,595,739,608,229,775,050,505,359,189,
315,456,140,132,567,360,324,731,870,913,635,900,637,680,995,709,039,422,314,
154,331,801,744,663,605,163,985,353,178,838,531,384,717,216,818,103,407,675,
809,489,613,368,543,619,759,869,815,185,468,952,449,322,316,121,043,809,137,
947,102,216,674,340,359,891,465,769,410,468,244,446,935,634,905,605,344,447,
040,452,380,107,548,022,873,192,684,313,663,339,059,042,619,611,889,487,822,
063,298,626,585,395,721,500,074,714,329,733,114,226,633,149,482,674,231,437,
996,664,706,980,457,946,107,419,091,458,283,035,235,134,505,038,536,892,097,
300,965,633,521,850,001,558,044,428,622,906,732,573,289,228,382,017,220,005,
700,910,250,841,603,242,308,174,522,649,252,457,531,752,218,963,995,266,380,
956,218,645,283,320,330,902,668,716,802,806,322,953,721,359,930,177,222,593,
245,061,835,217,067,489,139,848,036,060,961,103,420,824,580,828,840,246,646,
750,166,335,262,914,526,592,064,204,063,032,500,305,168,291,743,898,134,647,
298,625,439,322,808,385,406,165,987,134,181,666,743,001,052,551,014,958,976,
481,837,837,883,594,308,952,463,215,452,195,671,427,491,465,144,822,297,611,
115,770,170,997,591,034,733,425,750,169,472,319,533,556,295,161,888,865,929,
205,980,423,898,714,480,210,663,295,101,434,787,433,286,473,066,064,019,326,
551,830,419,444,010,239,395,741,148,213,428,235,283,019,134,722,256,833,210,
023,919,414,683,877,409,797,593,118,850,496,915,314,557,280,268,373,004,244,
618,429,629,503,733,164,266,861,637,632,633,619,329,733,631,766,257,093,261,
518,820,502,908,149,761,631,286,575,096,617,187,706,663,232,304,813,998,166,
682,549,118,369,266,279,437,194,903,123,092,473,805,066,833,985,479,826,672,
732,770,901,672,812,089,807,312,235,520,600,076,391,304,112,184,308,411,656,
574,994,400,656,041,660,583,978,840,792,370,593,549,214,234,452,645,621,706,
548,495,212,637,512,110,566,331,111,774,662,734,005,913,663,523,736,231,447,
225,327,085,858,576,684,932,581,891,989,151,793,393,617,811,652,998,157,405,
649,637,571,936,511,014,065,744,568,942,582,126,137,421,709,762,301,811,638,
951,943,723,692,256,363,585,351,098,232,187,847,927,954,073,461,741,343,768,
319,523,207,807,062,196,216,839,986,318,534,616,319,498,141,472,805,118,619,
208,147,285,625,873,606,509,514,147,063,739,050,628,731,870,344,782,915,763,
004,704,808,297,403,292,973,645,771,889,043,645,419,833,218,343,703,273,879,
698,280,956,759,694,739,564,203,742,981,650,502,729,438,138,984,954,209,213,
196,293,885,266,863,224,504,916,064,316,660,176,339,366,327,024,613,837,759,
549,864,024,517,795,663,204,778,021,772,535,231,070,728,664,560,103,388,075,
653,010,924,595,586,460,152,224,804,908,339,379,175,023,332,069,110,416,178,
191,078,186,844,300,456,236,770,423,839,332,132,557,382,219,019,893,633,706,
427,587,793,657,211,805,885,854,958,909,526,239,922,966,423,249,518,244,706,
969,368,533,774,511,978,761,173,599,219,228,924,679,564,798,598,998,814,904,
784,013,251,255,290,378,376,559,784,580,912,939,051,323,135,774,767,544,108,
725,782,770,542,528,932,606,697,777,491,359,174,808,668,240,717,597,691,144,
630,120,351,357,956,802,180,800,427,760,306,632,784,417,608,053,136,124,532,
314,372,537,222,415,878,570,497,310,162,423,370,240,151,317,646,875,001,137,
533,444,851,896,195,366,103,823,610,348,481,041,159,975,596,520,203,924,453,
524,781,137,382,953,710,702,209,289,532,936,402,752,808,819,769,902,158,916,
502,631,084,064,948,806,904,104,900,762,203,141,316,945,932,241,066,017,579,
687,155,980,940,973,664,189,213,101,872,335,425,789,630,471,193,528,596,135,
147,206,419,813,012,511,138,866,635,357,413,707,000,504,231,151,735,982,849,
954,726,629,734,952,395,310,239,331,680,642,983,665,820,292,090,196,343,395,
081,002,830,896,557,427,747,058,793,103,587,983,163,660,432,631,429,396,904,
770,357,877,652,259,888,585,004,461,943,901,105,357,175,221,266,344,608,339,
396,773,547,759,011,619,187,293,313,230,882,307,212,898,023,279,718,303,406,
848,551,572,030,701,687,832,154,491,955,931,262,829,430,581,524,894,669,283,
869,729,320,555,220,969,805,557,527,399,482,273,701,117,243,894,745,763,244,
073,341,963,608,757,247,027,764,632,128,661,694,602,471,723,637,907,890,083,
340,842,756,273,808,231,851,396,286,274,428,008,235,401,058,534,590,733,265,
777,126,608,439,946,154,892,686,134,971,215,478,782,441,369,685,741,543,696,
781,484,289,816,954,148,204,248,028,714,935,680,650,280,937,858,492,740,904,
250,340,216,037,959,066,626,759,230,640,988,850,633,391,128,224,615,929,018,
709,631,007,306,209,825,868,919,499,328,637,574,894,416,490,893,944,044,385,
452,635,738,380,917,054,042,924,453,676,745,490,744,319,833,975,115,284,210,
808,872,042,785,931,135,367,708,338,455,393,856,335,791,020,205,574,529,598,
916,458,974,178,179,166,073,213,692,164,261,746,882,594,871,617,087,286,815,
940,717,770,176,087,688,433,856,085,535,262,081,674,430,279,572,701,374,748,
242,968,398,932,619,906,569,239,490,451,556,906,458,886,323,973,809,016,446,
132,887,299,680,976,011,821,909,079,180,550,140,716,553,132,116,729,215,004,
563,338,106,773,909,068,657,078,696,363,170,842,172,999,082,700,238,791,560,
186,011,175,748,652,589,842,678,755,446,828,995,498,147,849,655,991,370,966,
064,105,366,500,220,371,350,709,598,615,984,117,208,812,953,564,232,359,081,
244,178,081,013,931,355,731,461,316,463,422,725,041,740,784,672,197,245,737,
624,198,574,439,945,483,342,370,499,404,737,339,057,589,353,737,211,327,617,
003,440,343,494,694,904,328,949,515,601,826,297,673,425,475,858,832,091,553,
236,046,290,608,410,448,220,590,042,930,856,151,184,282,460,019,015,949,770,
259,312,112,126,257,613,926,844,846,727,113,192,311,422,688,849,405,763,075,
727,159,806,828,933,733,392,328,706,248,951,469,233,788,672,019,249,639,212,
050,304,454,815,465,706,922,802,030,559,849,220,237,214,286,773,439,207,664,
437,890,561,756,870,949,086,611,268,030,469,599,659,560,298,275,497,813,112,
052,070,983,288,332,860,644,786,062,486,104,437,136,696,417,323,967,477,571,
621,905,582,445,993,668,181,300,497,781,608,934,513,324,540,796,879,238,402,
107,858,390,317,283,709,425,745,124,245,482,767,811,811,061,827,822,329,546,
975,801,891,829,644,125,719,984,520,582,931,187,644,631,510,448,226,477,690,
373,418,726,518,674,123,648,834,729,483,398,153,744,799,202,220,955,249,896,
334,088,679,628,903,338,657,587,308,854,697,474,180,480,316,162,032,151,884,
518,623,051,354,317,681,346,823,396,914,431,322,122,926,192,903,006,253,075,
214,253,850,017,614,941,105,145,191,807,123,322,248,916,415,161,691,493,501,
199,167,435,522,540,863,735,587,249,106,510,798,894,233,261,062,917,958,318,
829,100,491,056,864,501,389,010,535,346,003,561,881,541,099,092,822,585,955,
125,604,570,536,962,635,162,878,992,946,554,532,355,678,471,837,311,195,141,
038,165,112,445,987,278,530,308,623,657,069,367,912,385,352,969,457,840,184,
530,942,783,853,718,197,280,259,292,042,016,694,495,727,056,047,253,436,886,
047,978,571,075,213,764,305,651,845,361,655,311,870,193,313,608,120,246,424,
002,001,841,822,660,751,994,713,648,616,212,676,904,864,540,816,996,003,686,
640,669,468,664,835,333,260,044,644,876,477,057,149,935,296,218,995,041,635,
149,560,788,731,988,550,381,965,370,006,074,850,233,265,044,455,541,044,164,
258,400,537,146,676,833,173,867,563,160,874,031,538,890,126,119,867,734,084,
479,190,497,604,974,747,874,693,953,021,644,632,757,143,121,943,619,538,508,
645,616,657,560,613,800,932,549,465,839,809,499,258,390,310,612,709,988,684,
907,052,004,348,748,027,388,163,799,762,695,304,293,309,645,602,618,797,116,
730,319,959,250,073,283,507,778,367,577,290,644,170,915,989,425,001,789,710,
381,057,327,916,589,680,170,817,394,669,037,241,968,168,958,643,476,226,164,
385,784,127,728,838,805,756,896,319,568,981,572,362,865,176,499,616,454,833,
653,117,183,340,146,477,594,953,939,038,372,942,588,502,665,154,182,380,462,
382,674,628,247,184,033,135,822,402,192,850,021,221,498,034,177,637,187,006,
512,606,101,236,285,633,995,562,551,881,113,488,510,262,177,390,899,555,707,
581,945,388,392,641,976,623,128,392,234,044,257,897,828,190,437,811,679,668,
152,672,140,357,351,131,228,833,163,972,704,926,879,915,544,350,798,633,210,
377,488,675,580,756,439,408,007,278,897,412,998,790,647,812,185,182,019,964,
677,760,256,829,919,044,290,051,180,037,549,192,251,832,395,033,458,610,887,
924,263,342,877,803,519,461,602,273,462,688,265,510,682,762,794,227,841,781,
578,300,802,949,375,160,137,772,910,665,583,615,815,707,200,844,215,078,577,
423,098,496,610,680,643,991,599,335,046,382,996,654,920,898,213,845,594,127,
435,542,829,130,494,678,809,384,155,289,156,887,240,812,682,056,470,336,356,
841,094,895,828,559,603,955,268,696,860,527,599,559,121,690,029,163,389,878,
699,769,080,593,636,916,342,040,667,025,758,504,241,916,196,867,251,489,238,
871,753,228,679,738,496,711,859,350,858,949,709,020,006,797,747,428,166,847,
250,814,016,750,837,914,513,245,430,979,634,656,666,705,022,252,156,799,860,
138,714,568,397,787,278,121,011,914,360,347,595,144,163,986,658,198,820,773,
446,920,897,748,924,808,295,577,797,923,899,341,384,260,274,163,200,458,292,
648,535,980,626,541,932,811,870,157,674,820,448,826,796,518,843,815,750,192,
129,724,044,496,094,150,016,361,378,876,982,303,441,730,070,271,206,937,746,
487,017,196,991,606,551,099,798,794,532,831,152,808,247,914,276,130,142,272,
526,448,639,886,519,121,159,606,713,387,945,817,195,084,081,948,503,333,300,
587,488,272,805,849,932,080,690,931,150,814,896,939,695,701,329,665,712,514,
191,907,771,250,608,294,610,864,214,664,492,435,807,912,776,081,378,229,789,
144,137,786,746,459,999,182,317,854,146,340,589,708,984,896,862,857,665,048,
545,529,946,877,729,907,746,410,957,772,300,752,861,478,804,943,023,594,828,
896,335,497,025,866,948,333,812,735,754,297,896,233,389,855,890,033,496,082,
663,945,791,763,045,465,392,183,989,850,817,583,273,942,866,919,641,493,170,
376,816,834,166,208,245,737,142,686,555,356,811,549,849,503,587,769,016,157,
063,858,421,673,706,566,976,762,859,580,024,512,531,665,714,213,419,868,052,
455,990,442,063,602,169,097,410,959,987,749,557,870,924,077,644,877,491,015,
014,245,882,210,288,377,291,979,320,373,620,778,452,486,164,950,699,622,085,
620,829,041,893,566,277,242,449,732,546,112,354,249,749,263,280,003,047,388,
393,204,005,533,730,181,401,460,997,841,717,441,799,047,763,849,376,450,889,
737,623,150,738,305,933,249,965,582,741,126,821,483,666,310,159,960,971,122,
582,445,458,898,598,950,738,504,672,520,985,858,528,936,041,045,840,402,471,
557,280,511,556,698,701,811,773,424,466,083,961,291,238,920,253,680,102,480,
003,183,302,536,113,828,095,847,184,695,121,469,489,918,218,441,394,209,716,
095,339,427,551,692,365,574,436,847,805,253,347,974,684,239,438,023,136,458,
322,810,157,640,384,623,052,070,469,778,701,130,392,140,825,998,943,665,573,
598,036,918,738,298,887,179,498,096,123,066,632,240,629,509,432,701,842,057,
190,346,454,559,645,358,387,836,595,295,105,203,278,212,483,022,816,761,734,
956,897,644,440,921,265,887,993,326,240,878,303,473,538,846,998,208,784,276,
197,886,433,905,675,502,495,964,230,102,887,332,366,993,540,479,850,986,075,
867,073,902,108,570,945,288,314,533,426,351,689,740,941,960,203,167,943,593,
485,208,736,510,588,533,797,577,729,055,719,167,813,612,471,067,570,484,376,
330,775,284,379,686,323,323,298,038,165,142,210,953,509,577,201,747,210,996,
258,696,982,305,664,253,974,828,345,566,937,346,725,931,358,405,607,156,193,
361,580,667,291,349,363,332,048,804,691,080,890,522,525,341,832,615,525,769,
948,558,692,277,689,597,147,027,918,349,935,938,354,413,833,990,526,717,631,
770,416,424,885,376,431,115,872,926,038,914,467,891,332,296,294,856,176,873,
477,249,087,763,360,412,832,048,336,594,128,011,762,114,947,964,909,556,164,
832,891,355,770,014,677,347,882,292,361,335,174,241,436,691,969,118,454,935,
232,508,834,047,751,701,776,589,055,085,783,289,771,156,663,223,824,828,330,
747,173,642,275,410,334,162,746,708,483,195,537,244,593,786,646,953,584,023,
987,864,907,173,790,776,797,096,495,899,777,829,918,329,024,346,383,429,592,
231,157,317,908,645,143,428,195,746,813,547,007,155,110,886,234,623,161,475,
012,131,659,580,393,009,672,972,702,694,183,396,743,898,483,484,266,362,147,
283,653,041,277,231,443,068,469,703,524,869,313,047,847,675,944,939,847,712,
938,754,946,720,193,811,200,920,467,036,779,238,696,962,690,534,679,966,396,
640,920,112,485,701,474,904,327,716,854,787,653,147,323,562,942,277,066,384,
156,501,457,795,251,844,186,446,993,345,210,864,967,190,996,992,562,319,603,
913,398,489,457,102,568,524,884,137,683,098,079,800,555,760,326,150,366,778,
495,148,812,286,130,311,149,347,424,792,044,161,757,362,260,936,689,673,637,
008,717,422,321,450,923,741,776,763,656,051,689,864,061,427,102,489,796,524,
505,140,160,322,507,527,126,871,985,031,164,718,690,693,720,477,664,487,587,
272,879,343,944,043,414,665,214,763,471,298,129,819,328,593,565,482,690,227,
919,873,727,008,789,588,553,592,150,074,740,875,828,451,919,609,272,578,368,
513,823,838,915,504,847,514,887,440,417,240,547,462,184,504,172,869,373,140,
326,625,255,482,092,627,926,791,623,257,466,688,347,830,393,592,672,328,359,
542,129,741,829,936,404,430,766,393,740,699,142,118,704,678,005,824,400,438,
687,884,396,596,983,239,498,743,881,135,170,890,604,919,222,612,567,014,849,
172,185,525,801,975,568,310,867,242,769,240,064,274,961,804,028,184,868,744,
490,837,182,394,967,575,904,950,633,241,855,615,648,494,268,199,137,872,701,
642,890,570,446,235,664,032,958,422,477,335,650,327,480,025,889,421,933,528,
718,015,928,771,606,697,278,658,582,949,006,673,596,693,802,747,793,950,397,
852,459,458,996,296,738,252,291,760,058,907,714,783,997,000,551,043,199,652,
607,795,739,710,040,354,092,234,081,148,496,021,684,144,749,074,468,499,802,
559,486,628,164,760,050,731,613,825,996,631,771,567,442,277,827,851,766,707,
392,497,172,609,924,369,011,658,233,217,617,217,025,418,623,391,397,358,673,
960,526,155,057,072,417,600,166,367,948,432,788,033,555,193,651,742,973,107,
599,506,141,929,384,650,400,399,237,682,744,377,131,858,480,944,326,868,538,
224,394,360,659,134,693,891,054,308,080,247,637,795,838,662,064,543,388,994,
595,005,169,544,344,323,951,572,594,558,679,046,901,244,720,614,573,216,792,
975,018,177,581,620,086,680,020,069,446,051,213,822,333,306,344,449,680,295,
567,161,604,872,958,508,412,743,816,616,082,797,028,731,224,915,016,981,506,
022,554,418,154,865,510,130,373,632,444,144,304,571,493,582,609,626,737,599,
166,718,239,097,257,436,180,079,557,780,243,597,623,130,498,870,657,882,357,
497,100,744,068,984,987,575,733,042,825,716,313,577,278,406,040,387,534,303,
650,516,665,187,101,092,490,915,541,085,061,494,257,537,348,333,000,200,463,
901,561,331,161,432,066,785,801,815,038,141,570,679,357,004,082,633,350,704,
337,897,114,972,773,087,017,512,064,687,223,255,982,299,980,009,934,202,053,
612,610,233,853,533,463,499,324,049,555,297,400,939,198,984,368,791,932,796,
569,379,697,912,470,239,965,470,021,307,119,141,402,716,098,263,978,788,925,
766,268,982,249,904,310,655,383,547,445,343,047,771,542,448,163,432,638,183,
497,456,867,900,000,579,675,543,596,727,541,209,799,370,935,552,444,430,979,
582,256,368,887,257,597,343,561,442,685,689,848,494,810,938,140,049,751,657,
665,318,492,158,238,596,729,336,754,663,789,468,537,095,789,176,772,799,665,
143,609,180,681,618,253,940,322,719,981,033,451,636,232,570,604,861,557,610,
904,999,388,101,607,904,108,889,629,566,933,263,200,392,869,762,444,579,867,
070,981,578,564,852,879,744,565,004,258,537,056,662,985,399,775,056,104,792,
244,712,618,493,579,008,927,017,581,339,190,695,886,595,080,872,682,264,247,
275,232,896,655,314,668,383,973,625,424,190,958,053,604,853,214,057,029,031,
259,556,066,427,795,156,950,949,734,035,412,110,453,386,156,089,905,029,960,
260,849,728,993,961,516,885,837,056,586,284,942,470,494,023,664,429,012,087,
111,470,775,050,271,873,751,558,896,120,100,001,120,643,636,271,347,396,193,
767,991,902,181,362,494,385,095,172,772,961,408,997,780,035,776,215,193,653,
059,462,630,614,759,726,769,167,080,631,379,329,158,552,172,201,527,221,259,
043,515,686,441,967,282,464,864,204,866,671,847,886,823,141,626,920,201,070,
956,045,181,028,317,517,369,722,045,962,238,971,875,680,447,458,895,948,214,
692,520,912,433,068,401,390,311,503,045,468,749,410,346,757,221,572,719,436,
287,312,536,757,916,941,270,084,179,732,366,976,779,587,148,725,982,715,237,
235,380,336,120,801,446,699,487,722,456,115,375,077,190,270,349,057,704,349,
622,780,075,891,271,819,597,939,585,254,153,190,996,004,502,491,578,312,064,
203,624,199,967,897,425,807,127,266,003,957,782,353,278,040,565,294,865,289,
933,224,742,028,080,495,578,312,521,502,542,978,581,284,129,580,496,396,825,
052,867,409,677,563,536,545,234,484,616,210,870,197,182,381,456,106,682,016,
568,930,063,589,496,327,379,457,067,158,336,087,827,682,237,568,818,749,162,
165,077,560,011,591,423,969,593,216,173,101,170,110,204,914,387,550,088,968,
198,991,792,075,824,619,193,614,227,194,469,948,250,119,101,292,935,100,938,
353,158,120,038,822,481,471,659,337,193,737,453,102,861,678,968,831,515,781,
116,014,954,584,201,652,602,204,548,063,304,430,712,868,964,103,760,055,299,
959,798,648,262,061,988,131,528,286,901,808,911,675,722,464,302,004,291,197,
590,302,727,113,200,651,509,171,906,172,050,262,371,735,238,755,077,010,045,
641,537,917,280,967,551,100,757,787,805,201,820,392,019,570,432,671,692,218,
902,176,775,261,175,969,948,194,141,300,343,716,854,452,295,457,656,360,181,
039,962,480,461,835,840,266,141,922,312,669,675,089,765,119,979,199,205,624,
387,946,118,042,841,697,681,099,751,390,965,565,242,152,551,978,371,275,936,
001,862,250,833,826,705,727,584,312,662,048,311,445,177,878,915,667,840,139,
473,812,215,892,572,055,945,005,814,835,810,109,312,031,365,136,952,670,981,
661,282,090,281,837,370,438,369,119,953,630,695,836,870,395,898,881,622,826,
541,016,894,910,169,418,618,344,012,730,104,704,391,234,601,913,921,200,216,
447,963,231,447,978,375,040,541,923,040,154,547,775,190,738,031,287,204,497,
142,896,764,799,738,503,994,478,040,280,782,249,370,345,537,097,452,279,592,
043,299,978,308,829,477,352,603,202,942,995,340,991,130,458,171,742,019,631,
976,002,900,075,766,735,012,971,159,609,678,329,271,748,856,475,301,474,621,
042,874,352,924,384,789,495,942,520,859,263,856,503,816,405,118,566,451,665,
338,907,067,145,700,511,222,076,449,643,472,353,966,280,906,521,660,467,053,
059,212,934,022,286,960,492,603,042,144,381,162,137,503,346,081,212,102,000,
682,710,698,777,737,874,395,255,783,648,745,647,645,821,100,002,644,357,490,
805,680,625,191,487,911,657,490,941,117,633,810,742,035,026,609,761,114,666,
087,714,816,418,726,126,122,596,666,202,660,663,440,622,377,599,655,932,277,
212,282,508,370,612,966,662,409,797,394,053,016,306,936,050,277,611,299,807,
458,759,974,760,342,034,231,290,923,760,557,254,450,097,954,590,471,007,153,
585,030,324,844,606,299,695,722,165,334,909,014,186,600,608,183,554,452,411,
563,079,186,749,172,344,192,775,173,102,373,827,950,896,254,855,400,482,346,
344,653,052,690,995,850,956,145,904,576,636,911,794,949,716,611,404,450,018,
793,948,005,420,600,048,097,209,517,823,043,106,601,653,766,352,769,756,980,
120,167,391,654,937,263,818,391,615,441,308,776,436,243,393,936,789,873,763,
353,106,566,275,601,381,296,538,617,326,104,004,352,436,040,776,929,672,047,
187,946,595,979,616,974,951,019,609,420,710,201,840,823,351,847,581,038,654,
387,848,362,776,556,797,485,079,154,171,350,367,296,395,983,461,880,531,638,
831,998,376,854,285,521,257,750,777,013,632,328,481,610,155,176,494,376,482,
483,601,754,883,552,217,476,658,044,451,137,761,448,300,016,452,889,409,114,
165,121,221,769,844,930,800,425,497,818,893,271,020,612,769,440,507,071,194,
702,885,098,356,293,769,512,963,269,724,431,597,527,300,849,331,607,814,121,
654,710,387,439,485,201,084,234,008,935,770,357,836,182,331,648,254,280,176,
670,959,041,768,462,424,521,395,019,074,202,171,389,626,879,023,898,893,029,
867,412,703,157,810,284,706,918,304,281,946,065,962,752,650,818,226,176,222,
158,787,449,500,186,883,710,799,317,769,098,044,454,788,652,899,078,752,692,
543,470,902,224,758,370,243,061,863,103,777,482,905,787,133,992,616,341,997,
942,545,450,839,329,808,167,266,131,367,475,214,870,546,163,154,384,388,154,
890,041,077,534,910,663,219,473,361,220,127,758,233,830,306,096,951,080,133,
598,266,154,433,453,811,315,966,027,492,894,904,116,913,587,792,406,801,869,
411,374,962,716,295,602,645,834,346,062,625,272,414,856,161,668,889,538,001,
355,795,030,076,101,949,563,228,959,241,164,420,476,872,369,375,538,735,893,
057,275,584,695,162,265,555,574,255,735,992,284,995,890,863,874,143,107,139,
621,963,040,371,899,527,415,584,402,709,435,026,271,688,482,743,585,634,710,
554,550,635,728,128,392,527,046,754,726,920,661,990,659,879,240,461,224,137,
385,922,593,021,486,187,062,524,898,739,252,819,182,744,486,518,417,418,247,
567,280,932,865,267,159,552,079,382,495,867,341,191,277,604,242,634,914,429,
036,584,815,306,550,703,031,820,321,011,761,365,405,049,121,850,202,239,879,
365,242,736,162,582,501,841,858,473,504,085,109,004,079,051,833,067,593,397,
575,891,515,837,041,547,281,700,931,670,040,613,872,952,912,960,802,388,191,
214,210,260,973,859,623,726,385,316,778,919,958,027,233,749,445,065,510,533,
965,343,738,372,260,959,955,628,398,496,469,250,573,149,080,444,633,709,735,
100,663,597,494,531,987,900,754,020,783,638,909,093,326,171,623,005,220,087,
489,074,309,422,529,709,215,670,034,698,140,023,300,805,308,995,022,457,034,
285,404,772,879,627,370,574,058,797,497,450,724,918,400,233,297,826,897,128,
941,827,126,146,038,063,400,370,378,328,436,656,097,525,563,645,396,761,273,
284,887,950,367,107,856,508,408,964,868,489,355,626,757,853,799,697,498,022,
602,926,949,024,081,693,681,732,734,682,823,577,012,874,838,545,897,045,082,
294,419,096,523,862,746,827,207,832,564,447,299,606,234,280,298,594,275,545,
511,578,114,905,631,579,431,730,495,863,069,894,000,144,113,668,085,957,493,
509,131,724,964,349,916,866,181,079,440,382,949,970,119,465,478,255,602,981,
250,563,369,877,878,057,726,770,000,856,363,715,879,178,416,151,600,083,155,
228,798,508,654,384,755,752,957,169,038,630,654,390,561,746,823,524,960,072,
814,302,600,076,754,597,902,876,447,304,859,898,468,207,910,558,385,647,668,
636,041,933,748,184,375,164,189,995,767,833,240,267,988,484,733,564,843,999,
673,540,586,798,349,052,659,051,425,719,382,012,243,168,025,202,830,719,410,
069,291,718,155,614,648,914,328,051,336,637,242,743,076,390,433,722,019,322,
407,469,732,891,134,108,066,135,398,489,508,545,737,012,823,035,071,244,987,
390,008,832,488,674,305,319,792,267,928,598,137,377,568,202,859,443,162,241,
549,850,399,673,731,173,422,616,403,336,801,244,920,206,888,234,577,905,188,
687,565,363,698,531,634,896,965,691,106,410,601,882,969,822,158,324,852,331,
106,441,604,568,976,021,219,399,634,305,384,500,143,213,263,866,225,319,812,
065,268,496,869,382,513,883,081,090,025,567,910,956,163,727,468,999,708,666,
038,980,449,261,618,451,967,701,172,990,019,935,570,557,803,613,249,628,602,
356,644,958,473,339,020,456,362,927,794,062,431,625,042,543,910,258,520,702,
791,062,669,849,310,140,323,551,960,524,947,577,519,546,460,671,613,341,495,
485,059,623,802,086,422,797,433,275,338,482,073,309,755,587,836,984,565,671,
740,193,994,392,923,556,922,107,031,070,307,528,828,406,733,136,524,630,953,
069,711,722,643,200,484,791,917,596,472,399,070,209,899,052,290,953,732,470,
055,265,196,655,959,419,188,661,202,730,539,182,199,420,044,684,084,358,190,
872,117,665,868,608,183,938,633,243,919,463,602,448,486,633,655,756,158,564,
162,370,648,246,096,455,816,452,584,285,922,780,526,425,366,114,492,350,172,
466,436,181,299,502,522,432,737,158,498,483,557,520,345,980,627,259,689,728,
269,444,401,359,945,652,042,252,049,463,214,338,337,193,296,385,262,670,040,
579,942,614,215,635,054,790,221,512,715,625,066,809,009,237,561,060,239,849,
352,252,278,669,664,789,599,555,248,578,153,717,203,554,409,457,197,123,064,
824,332,945,439,780,399,193,212,179,660,490,128,358,828,834,989,958,746,990,
237,340,239,197,000,927,362,061,495,830,370,678,005,601,686,153,660,283,811,
249,471,273,806,052,991,798,127,397,089,276,279,223,167,449,439,164,653,130,
109,223,954,523,916,430,955,830,983,776,385,177,217,927,767,028,743,079,370,
492,765,055,405,040,395,281,885,326,766,376,608,939,544,826,304,141,976,919,
457,903,820,744,733,728,185,867,248,191,628,434,003,859,624,774,531,249,974,
190,647,535,500,130,240,598,495,953,804,936,700,429,678,567,252,034,217,640,
088,783,847,207,251,051,920,763,631,691,538,780,686,215,778,619,633,757,955,
624,007,865,795,521,103,869,110,349,870,347,945,674,543,201,592,972,746,498,
447,757,582,255,103,704,809,518,979,864,732,093,020,149,021,312,746,784,595,
177,360,830,724,015,055,894,071,031,571,030,875,147,873,951,052,333,052,127,
216,875,203,048,519,496,789,497,727,745,305,497,413,405,344,354,177,995,079,
392,731,524,866,623,289,151,710,125,839,817,324,089,964,386,439,119,745,889,
545,882,150,319,035,823,445,477,519,857,195,329,402,246,612,344,911,381,820,
814,881,837,979,773,944,172,193,977,464,351,112,464,436,629,015,958,529,856,
009,111,493,068,438,608,340,026,871,654,016,546,254,171,476,660,110,416,494,
476,591,344,019,075,546,993,897,825,740,400,291,837,984,718,843,912,694,259,
837,407,305,047,583,360,452,533,056,358,961,203,000,413,760,126,021,186,278,
294,464,077,451,062,204,327,543,230,035,387,907,703,744,328,117,796,062,761,
574,668,580,657,237,383,499,254,126,478,414,380,097,968,441,126,770,931,829,
712,054,869,853,154,205,941,695,370,462,614,017,197,152,453,479,150,629,827,
865,063,979,952,051,399,135,829,232,497,451,805,131,018,290,773,016,643,365,
341,927,432,503,582,140,421,613,474,843,850,129,838,717,902,418,372,817,120,
314,209,933,883,696,248,202,487,532,659,857,285,950,793,133,051,239,753,905,
206,743,298,390,711,872,673,510,625,288,327,506,372,993,475,281,141,975,540,
834,064,045,478,489,319,299,901,320,614,107,980,780,738,492,780,903,298,038,
960,501,547,887,684,269,898,785,987,661,219,191,483,127,854,647,041,046,267,
998,041,087,957,921,141,830,564,829,592,036,521,877,216,304,737,872,955,265,
391,070,515,224,573,022,801,672,546,693,191,215,697,721,491,026,846,441,362,
791,574,224,806,247,236,977,723,032,872,014,488,770,201,862,873,331,768,190,
706,844,094,571,082,409,290,940,226,590,505,198,110,549,381,953,541,975,016,
280,204,273,261,053,591,871,613,560,746,873,526,364,901,482,156,221,744,633,
932,204,652,957,038,406,876,993,924,257,088,423,273,868,540,566,553,772,093,
821,204,364,800,491,688,595,159,548,424,918,208,854,545,168,708,348,641,258,
493,104,596,546,555,820,141,705,136,594,793,688,219,065,877,936,928,299,629,
794,822,784,267,555,840,181,119,116,621,458,495,120,096,673,260,469,524,307,
594,783,180,434,828,115,475,160,774,246,948,821,273,377,490,160,881,135,880,
820,718,372,368,081,701,508,361,368,947,256,048,897,142,905,511,428,285,929,
593,380,913,429,276,728,746,994,887,829,881,786,136,127,635,021,020,251,340,
895,828,734,096,400,633,048,254,050,674,561,137,073,923,863,042,199,285,570,
255,982,303,189,452,358,400,156,121,214,130,538,007,486,756,180,948,068,769,
450,060,475,857,822,172,237,230,040,605,034,541,859,238,564,879,280,414,285,
381,573,652,255,115,804,226,597,418,634,759,461,126,578,526,147,961,943,924,
903,654,071,013,898,662,352,281,340,432,539,764,931,096,788,961,751,122,220,
185,420,108,380,378,618,268,105,808,049,278,946,292,342,959,241,446,026,924,
916,216,821,325,474,596,676,973,983,513,890,146,184,216,341,338,002,763,028,
256,038,467,604,607,364,443,172,045,370,734,803,869,191,751,978,912,683,441,
262,848,072,429,689,445,963,208,357,826,442,596,268,010,240,209,542,048,333,
684,407,197,833,147,952,185,842,193,537,059,476,098,013,197,844,343,348,761,
627,955,136,992,156,344,793,288,721,883,020,412,823,377,094,487,191,474,037,
727,103,302,517,339,459,340,328,799,902,515,139,269,715,077,946,655,666,410,
720,795,374,245,436,367,177,454,015,418,801,795,766,496,083,722,877,249,334,
648,422,282,144,656,194,719,721,309,430,868,636,927,369,701,547,552,798,942,
192,497,047,548,020,040,816,192,593,559,265,434,686,101,901,695,676,488,727,
213,671,371,680,290,474,085,939,906,047,799,140,409,163,691,454,049,347,124,
557,032,487,223,214,762,494,800,584,238,600,214,510,796,306,601,486,545,363,
702,555,344,445,772,099,743,910,242,180,087,751,166,568,749,629,167,776,031,
462,066,708,831,473,800,664,484,409,288,171,667,880,654,077,769,260,792,887,
192,789,457,651,843,706,235,765,685,895,224,626,788,754,135,286,765,414,122,
445,463,175,710,592,243,009,477,665,273,032,136,063,277,608,717,517,050,838,
963,039,110,561,543,034,092,359,336,685,962,292,134,645,628,160,427,817,479,
637,068,929,369,768,584,860,996,424,103,694,344,787,608,803,784,912,853,208,
126,218,616,857,633,808,517,341,179,517,646,991,724,022,127,641,684,663,479,
055,693,100,066,741,965,324,379,957,770,439,633,669,847,115,795,899,552,873,
460,246,559,578,821,422,093,470,688,020,388,982,978,087,125,601,673,066,893,
707,685,927,916,162,095,418,896,418,539,278,817,797,855,289,637,416,478,469,
156,144,747,600,441,594,382,072,119,062,961,245,417,294,314,868,879,209,201,
483,751,495,807,578,223,617,300,782,253,272,383,994,783,543,122,569,958,077,
265,605,545,342,739,014,011,991,541,215,149,874,180,783,841,384,755,618,934,
913,729,524,629,529,749,693,306,045,769,876,613,263,211,686,559,998,924,972,
563,924,504,643,762,176,601,101,253,614,934,207,044,910,258,602,765,302,206,
227,976,816,990,883,532,698,423,124,293,322,214,544,638,570,324,224,197,978,
854,861,770,572,359,264,283,697,686,150,332,204,549,470,783,169,135,340,608,
835,280,097,796,858,483,162,774,690,870,556,126,628,040,640,382,535,250,090,
803,687,654,942,294,065,999,230,997,035,266,731,396,810,903,908,507,927,432,
413,623,300,407,975,830,838,684,569,860,675,289,182,743,788,940,168,906,332,
879,645,236,246,994,732,528,160,487,347,966,658,138,915,103,123,405,508,069,
321,043,839,005,471,424,826,029,975,738,923,327,864,202,743,999,779,394,622,
121,793,429,178,961,669,877,794,887,905,403,256,216,201,131,153,531,784,737,
485,090,857,609,528,355,395,777,286,530,443,854,517,839,744,589,083,219,065,
517,863,354,417,313,781,383,561,372,792,172,139,248,983,068,337,281,763,551,
235,093,218,582,911,267,536,836,843,431,466,817,852,715,340,402,205,545,464,
217,684,391,823,129,995,178,399,682,774,135,859,754,429,885,028,285,737,962,
417,354,537,124,750,322,446,518,757,997,640,445,452,239,547,287,355,926,175,
966,503,835,638,563,374,686,664,483,303,610,920,125,517,674,608,816,069,835,
367,656,222,875,470,382,613,369,470,177,438,171,451,994,333,708,745,260,947,
564,874,450,802,527,880,596,741,815,983,753,604,732,837,608,542,607,742,958,
525,467,204,824,150,662,015,147,334,147,501,122,219,336,682,983,990,949,431,
878,785,676,878,036,503,044,787,250,727,783,611,498,720,226,158,313,987,314,
137,970,045,587,729,224,921,652,299,753,659,357,755,303,861,716,028,219,697,
653,984,379,467,041,698,425,505,210,720,151,261,101,165,266,060,598,341,199,
039,712,106,222,584,824,287,348,448,810,137,450,793,746,347,194,352,659,922,
099,482,822,899,657,713,366,459,711,374,761,532,441,787,801,914,886,367,299,
896,352,303,199,070,779,079,928,955,835,138,914,442,426,363,075,814,341,837,
756,035,085,987,010,868,512,333,493,972,327,621,520,845,213,631,654,596,028,
067,466,955,689,537,274,808,158,734,006,870,889,633,022,446,527,019,455,820,
980,410,895,562,760,481,284,299,244,931,897,696,843,078,254,130,230,204,037,
061,310,878,025,103,003,627,283,450,695,481,517,829,455,634,856,942,917,555,
713,220,170,951,669,393,753,176,118,422,814,444,304,498,927,717,873,360,667,
651,226,521,781,833,060,516,105,742,517,376,791,220,106,236,023,235,493,276,
719,231,272,049,082,289,061,139,647,522,137,388,635,640,307,158,204,841,351,
362,151,519,346,574,259,562,323,245,861,254,009,248,283,589,931,328,715,292,
586,432,198,915,430,638,780,104,090,040,407,415,795,702,827,994,521,292,786,
961,895,533,380,537,830,954,198,207,201,403,754,107,397,508,148,779,151,707,
575,828,999,292,678,129,400,413,727,702,984,569,176,858,455,214,801,255,241,
609,411,658,764,021,552,038,181,957,305,609,523,283,371,359,174,124,007,252,
191,544,134,727,147,208,383,593,627,296,359,377,822,731,685,218,263,968,632,
424,881,562,028,058,018,862,558,090,035,055,148,476,759,952,983,648,228,743,
045,819,958,309,139,607,959,282,294,981,069,304,148,061,039,491,035,349,567,
865,162,215,877,530,395,745,720,918,535,453,490,285,199,598,717,191,077,075,
429,328,622,345,808,634,154,398,894,580,631,819,586,032,375,606,701,298,477,
287,181,958,457,384,550,949,259,717,008,394,874,420,202,529,584,765,639,632,
464,519,276,896,611,166,931,435,510,767,925,308,400,214,185,156,507,753,137,
195,742,925,449,799,994,667,702,341,483,081,743,364,446,336,957,163,558,203,
642,743,035,494,367,070,601,957,674,686,132,423,889,434,427,767,264,904,088,
520,596,606,463,749,121,576,267,084,988,703,024,628,949,590,235,871,969,955,
807,367,729,845,327,520,257,475,931,049,271,640,226,047,159,930,812,846,083,
653,692,424,047,243,788,600,835,216,101,537,206,973,803,730,982,768,404,349,
351,568,731,698,591,869,375,530,375,650,945,234,824,052,724,358,113,073,639,
501,635,611,679,919,640,212,709,541,502,773,040,659,438,461,365,866,218,783,
583,710,945,484,928,533,994,725,011,796,928,661,945,901,246,124,858,651,892,
770,902,275,547,223,623,126,224,416,370,050,737,407,830,450,364,663,803,732,
689,736,575,605,238,414,787,812,013,614,877,699,696,238,411,055,771,565,086,
199,779,184,499,349,222,162,194,536,709,262,315,624,903,280,277,846,411,206,
218,142,129,588,081,568,711,051,960,500,023,997,894,329,451,117,965,756,729,
120,420,224,182,036,415,213,273,260,644,077,268,018,359,495,242,165,671,268,
863,280,542,051,845,710,338,359,119,978,401,727,407,179,931,800,387,358,705,
988,130,969,344,148,680,296,894,824,361,281,241,120,349,058,104,031,004,653,
010,689,721,291,517,527,895,393,914,925,398,749,361,673,455,886,036,896,024,
684,746,632,271,465,184,365,359,750,320,321,754,817,245,056,918,383,658,724,
983,512,869,391,284,041,474,581,794,607,966,492,381,081,792,328,731,392,313,
422,644,025,797,964,859,627,538,687,589,825,755,544,855,342,524,750,097,249,
763,078,951,377,690,123,954,593,925,726,106,211,277,195,485,593,683,792,994,
314,119,995,128,189,456,555,458,328,372,201,551,183,536,113,636,117,594,472,
870,225,430,821,572,105,486,731,946,052,204,611,102,723,180,758,870,895,401,
891,165,541,306,502,621,208,633,549,209,443,756,758,442,710,576,723,833,263,
396,003,541,557,728,138,144,155,591,053,006,014,140,318,640,680,866,112,000,
062,984,319,860,184,512,623,948,605,623,674,062,910,810,270,496,783,766,249,
248,030,807,577,811,325,366,774,294,428,821,594,465,960,077,001,612,456,606,
692,534,688,495,560,431,260,113,185,463,930,205,405,306,550,773,871,977,894,
869,871,957,858,633,341,335,123,703,651,628,493,571,508,625,033,995,048,954,
165,175,782,297,472,342,549,411,337,923,928,634,269,919,522,634,514,150,954,
221,658,816,941,079,608,638,896,227,085,748,000,221,239,075,197,561,662,676,
329,863,492,596,013,396,017,405,783,762,008,253,556,681,224,065,626,720,421,
543,523,066,047,940,238,002,735,900,496,122,982,570,783,354,576,157,889,483,
155,842,461,013,088,200,832,029,303,576,554,847,152,041,778,825,185,447,566,
222,240,608,689,132,916,933,976,489,059,562,347,652,382,010,861,765,255,142,
716,097,797,608,246,047,467,765,728,354,703,549,192,238,460,770,486,597,936,
288,393,331,275,008,728,955,184,826,090,493,348,347,034,196,485,396,709,223,
406,671,876,841,004,038,281,076,759,768,995,165,722,566,030,043,114,162,045,
057,882,744,980,255,173,172,954,531,938,050,065,061,574,117,223,471,839,437,
537,184,737,063,464,685,194,180,331,762,583,132,429,846,956,456,442,991,803,
324,266,936,049,748,240,207,352,402,749,243,999,265,842,099,901,385,157,359,
085,175,882,050,982,527,678,615,950,254,369,894,828,060,031,068,126,819,153,
597,306,795,196,427,777,042,084,781,816,980,036,648,194,430,372,146,371,315,
219,560,876,136,249,143,036,813,337,208,608,794,868,179,730,705,762,486,675,
015,616,065,071,088,620,870,417,475,607,685,917,770,216,862,847,715,759,194,
318,746,875,915,526,382,022,488,345,381,441,686,568,765,635,149,487,034,041,
270,740,359,786,254,825,044,436,622,350,624,443,531,146,123,694,155,494,265,
610,172,458,024,951,649,992,452,704,246,340,040,746,269,984,354,062,417,254,
467,660,192,044,423,467,245,709,012,636,318,297,740,439,341,883,168,970,760,
701,160,668,347,109,694,707,780,116,338,152,872,078,313,702,991,690,412,173,
122,897,442,423,918,199,389,462,129,837,206,618,218,184,309,245,775,331,409,
868,217,191,171,814,255,180,876,975,544,283,639,781,554,722,198,197,298,286,
809,790,552,150,396,095,500,256,654,069,552,347,355,273,559,727,277,070,047,
860,163,097,676,854,891,525,373,589,228,312,516,126,411,146,825,770,907,913,
323,211,415,663,444,798,516,933,783,512,985,481,400,777,393,705,166,526,354,
928,488,999,178,203,820,484,692,296,052,567,540,250,510,363,462,129,682,549,
634,266,057,077,604,711,157,304,663,356,676,493,041,737,400,645,035,709,109,
031,944,670,101,967,727,475,169,982,561,668,897,451,536,077,415,725,209,832,
043,435,363,299,797,349,600,912,535,837,962,336,248,392,151,451,187,797,730,
524,415,301,563,319,732,735,057,621,190,800,252,905,703,098,978,611,668,495,
769,407,684,212,518,939,049,637,732,572,545,775,153,285,112,116,660,263,785,
402,795,494,045,473,712,143,193,976,288,921,537,217,740,424,359,899,127,265,
799,260,270,370,387,760,790,532,809,118,078,131,115,834,449,932,585,099,952,
851,441,754,848,365,645,196,917,984,668,421,139,313,072,643,001,742,165,110,
032,330,820,204,700,822,852,470,962,119,720,142,407,309,197,295,600,030,226,
988,012,918,038,870,064,596,221,924,676,130,199,866,006,935,152,516,832,556,
045,510,394,548,554,681,934,329,588,452,813,941,598,138,496,964,419,562,345,
006,232,882,331,426,974,711,116,867,091,782,573,755,861,971,843,574,043,840,
991,302,707,698,333,671,127,421,305,887,370,586,076,020,390,986,043,862,582,
395,016,368,237,508,496,109,288,820,941,155,785,991,141,112,214,685,485,259,
406,827,807,142,560,154,472,100,802,563,943,599,543,384,190,138,985,518,720,
431,917,543,995,266,473,053,710,287,137,974,565,418,411,312,950,460,136,254,
235,670,959,860,172,390,456,564,236,566,317,849,232,735,667,429,559,796,609,
306,220,198,987,116,849,731,787,729,617,231,435,237,852,651,343,059,332,706,
958,619,312,306,273,807,489,160,917,070,617,997,171,781,165,212,376,830,756,
659,670,124,333,002,078,190,385,206,558,895,090,831,086,096,458,182,129,922,
920,276,521,368,749,572,735,246,883,683,229,178,263,617,090,842,788,404,940,
248,412,061,361,647,157,283,698,315,035,352,367,446,173,689,873,293,543,892,
400,837,029,428,986,949,713,829,972,599,923,495,673,315,756,129,108,000,499,
880,864,928,424,418,390,367,157,984,479,072,594,431,326,665,178,473,247,902,
166,950,967,193,288,126,115,095,210,121,438,640,462,282,448,478,622,082,033,
035,318,753,817,368,879,573,315,593,932,957,388,748,424,831,331,671,631,300,
563,668,269,909,560,470,318,036,056,843,733,861,934,912,517,099,433,484,450,
926,171,425,996,814,253,020,953,028,015,881,352,023,108,825,102,555,628,195,
672,350,790,451,454,763,272,348,512,499,973,693,502,336,500,197,964,045,494,
061,427,713,245,217,629,697,821,064,976,482,122,279,146,956,141,561,529,368,
969,545,639,153,527,198,903,537,707,134,047,923,863,829,753,782,487,960,620,
731,507,759,815,279,136,442,956,128,346,133,995,212,511,631,368,107,313,147,
730,299,162,770,510,248,012,599,688,548,151,142,874,126,243,967,551,107,661,
590,127,552,507,507,679,626,034,315,360,916,982,879,911,699,687,504,047,427,
759,554,185,903,031,980,349,199,198,544,692,400,837,941,159,986,272,455,290,
841,602,919,942,460,411,937,879,827,690,671,541,736,251,395,370,962,343,924,
072,543,627,035,318,653,725,266,368,690,229,546,546,244,245,804,331,970,993,
600,090,241,317,127,461,217,429,806,587,699,379,607,661,059,965,484,744,309,
382,104,208,618,148,254,315,196,084,414,109,492,722,821,608,823,148,693,821,
148,394,365,058,628,237,409,698,814,624,984,445,552,840,047,213,892,404,487,
515,090,269,199,396,142,736,894,192,980,707,971,090,629,892,855,322,255,254,
317,643,675,569,840,548,020,862,247,615,316,358,280,416,618,134,308,542,595,
557,717,470,945,969,815,293,272,112,551,414,385,836,054,371,901,101,686,083,
740,919,863,908,511,844,113,114,253,584,381,458,254,279,919,761,744,379,960,
231,209,034,073,424,037,065,255,668,883,059,091,692,061,947,094,113,053,732,
686,304,005,303,380,656,661,038,464,099,583,934,120,919,294,892,272,195,183,
799,969,225,918,133,614,464,931,029,986,514,836,423,254,643,317,208,237,746,
394,926,110,967,253,116,674,323,732,052,770,964,456,332,078,223,287,897,001,
297,070,241,142,163,913,704,709,359,234,603,762,583,644,680,620,046,855,245,
007,902,558,451,668,405,569,468,665,189,808,136,342,685,072,814,941,268,548,
310,523,046,768,503,810,615,155,850,940,511,082,290,032,009,331,287,656,182,
793,010,159,108,147,288,124,176,192,726,482,007,243,720,947,324,464,565,136,
152,310,231,404,923,903,040,544,155,736,808,498,539,583,879,189,048,585,189,
897,883,406,533,077,565,746,912,745,047,257,796,210,039,459,997,618,301,254,
996,609,504,557,143,073,810,062,350,661,361,250,050,783,261,379,909,028,280,
198,584,162,102,765,007,419,674,464,191,069,732,168,173,458,750,695,306,831,
701,485,825,360,066,021,996,491,475,002,401,697,664,764,670,260,919,372,222,
755,117,810,870,116,636,211,625,493,464,803,218,232,723,585,820,156,151,016,
125,678,758,180,729,996,311,896,801,176,109,403,863,490,705,041,841,985,098,
455,904,813,257,408,791,092,917,590,330,279,134,597,042,945,971,629,947,576,
091,203,195,182,892,777,470,627,272,417,710,732,035,311,845,174,183,248,675,
040,026,063,800,570,430,495,722,065,249,205,920,588,299,890,878,550,926,909,
931,530,104,782,690,037,252,533,781,352,408,866,805,517,028,592,184,357,112,
788,669,632,403,571,584,920,864,849,851,309,851,808,695,773,596,906,013,940,
749,432,446,913,664,520,791,088,113,412,314,346,688,300,232,380,877,634,359,
277,965,939,569,669,479,106,233,582,651,200,425,052,941,427,034,174,648,806,
094,544,126,791,103,896,257,294,409,439,287,662,471,381,125,193,912,606,339,
554,172,943,193,229,987,056,152,494,493,601,956,023,506,701,256,410,688,751,
657,636,785,684,404,762,254,046,569,568,750,052,504,331,180,043,791,264,077,
834,063,451,153,302,187,634,911,612,955,945,290,605,110,256,178,457,966,963,
834,094,096,988,006,229,991,172,345,562,473,897,223,830,657,752,401,456,035,
159,333,886,178,646,947,823,937,557,189,229,531,201,337,994,193,155,221,735,
416,536,982,704,016,741,581,280,750,706,752,889,592,722,869,226,743,446,266,
530,858,859,111,483,627,721,324,242,771,513,087,569,185,261,964,829,290,051,
782,244,099,038,926,943,181,924,445,258,251,511,085,438,279,832,554,166,016,
649,836,100,855,946,415,104,382,645,363,798,814,943,382,191,035,772,035,141,
724,486,126,810,759,927,692,072,092,602,325,574,467,195,658,977,992,540,663,
354,333,692,267,791,480,052,334,114,237,813,373,798,050,576,847,701,673,467,
599,391,518,177,959,122,824,006,062,326,078,959,641,416,267,792,927,741,740,
905,768,672,663,943,819,169,054,647,176,095,633,943,666,895,962,900,537,100,
450,477,324,105,287,029,927,194,184,227,906,387,612,614,814,895,471,418,589,
400,934,677,887,755,797,415,950,690,047,621,696,685,762,457,220,210,670,082,
045,034,674,529,871,707,241,209,553,211,374,433,901,634,615,038,685,913,842,
612,422,464,658,398,123,383,637,223,736,038,717,469,791,763,023,705,980,404,
387,356,238,030,424,078,399,045,009,629,253,684,649,049,679,406,289,822,446,
316,057,433,473,594,270,405,295,232,506,433,442,237,514,341,558,324,982,096,
796,603,600,366,100,939,018,746,134,676,051,552,082,458,301,851,048,657,811,
730,532,773,423,194,686,121,690,280,016,340,607,674,896,912,044,741,886,532,
892,619,229,060,764,238,728,090,091,005,837,756,483,470,529,817,324,405,014,
178,370,997,680,057,307,402,949,408,870,777,697,300,341,364,960,174,151,035,
440,077,640,187,102,488,758,458,179,557,011,642,157,468,121,322,975,281,605,
301,776,443,461,604,421,167,247,591,373,504,098,339,792,720,436,203,362,343,
496,824,617,331,796,633,438,943,108,497,734,511,288,027,263,820,927,849,996,
374,887,803,982,454,836,886,437,878,217,082,206,848,599,840,401,878,216,791,
750,644,037,290,276,026,449,139,765,864,366,539,316,156,462,650,819,336,534,
140,410,339,171,943,975,269,198,653,600,079,745,936,042,488,709,471,896,749,
865,984,126,704,431,985,278,212,369,465,155,244,459,887,723,255,093,260,340,
767,706,860,158,533,093,820,668,946,866,224,111,377,042,424,080,320,028,658,
885,420,842,188,663,314,605,175,710,307,820,898,779,416,976,623,462,218,167,
690,732,024,857,636,658,888,685,333,070,963,230,347,872,745,066,764,119,443,
202,315,341,230,563,577,823,872,665,387,372,044,342,981,217,267,212,576,730,
603,133,427,567,064,560,435,814,358,114,553,301,925,324,400,789,680,482,450,
528,105,890,268,891,440,754,847,524,749,322,885,419,198,787,014,553,503,549,
219,408,681,436,147,049,529,872,290,832,462,489,657,162,214,907,665,667,840,
254,009,547,359,623,858,309,558,322,377,320,281,419,539,391,359,374,814,218,
472,442,597,312,609,562,474,300,076,411,216,145,166,900,589,367,608,443,890,
829,352,596,200,382,734,077,000,634,534,271,406,340,508,939,798,322,217,860,
663,619,914,655,803,427,522,384,556,933,332,876,685,916,363,624,843,189,888,
757,253,365,904,585,233,818,900,835,157,672,866,233,933,547,830,125,011,659,
373,099,437,251,028,465,025,548,787,388,241,485,925,730,001,690,768,890,566,
854,647,163,282,865,396,394,055,968,979,793,995,648,429,315,550,254,939,779,
056,294,951,729,413,062,842,972,406,008,264,232,701,006,824,108,216,740,124,
578,128,667,732,163,345,247,976,077,921,907,041,472,488,969,404,654,668,387,
376,295,045,020,376,184,842,263,097,323,125,546,056,112,602,992,282,239,956,
132,967,479,641,596,445,259,897,881,063,145,189,779,220,243,536,750,634,892,
531,937,876,966,638,966,177,935,265,985,826,523,418,779,863,810,700,973,345,
600,761,914,858,811,170,982,473,405,145,029,971,099,063,481,695,049,615,763,
814,018,906,697,697,903,505,008,098,659,523,996,371,323,770,005,781,806,433,
298,590,011,722,951,187,393,590,234,838,198,247,343,293,699,728,678,991,880,
867,669,249,889,165,873,384,035,411,684,340,005,215,000,021,786,770,145,323,
594,705,927,005,824,049,595,246,013,576,646,627,995,689,000,830,472,680,942,
587,897,243,621,202,606,731,891,366,486,825,554,107,199,195,317,769,656,268,
700,461,894,246,891,259,209,097,650,252,235,394,762,472,036,416,231,990,527,
904,924,552,826,161,765,769,363,916,410,209,757,219,448,586,885,564,801,471,
057,424,044,376,586,923,625,271,476,990,226,915,714,766,767,245,865,229,336,
723,600,504,971,572,479,809,529,296,554,145,260,104,100,139,458,177,574,860,
239,868,313,690,130,755,472,234,543,398,902,759,930,349,539,440,779,241,854,
038,377,267,399,844,749,434,589,460,471,662,913,789,305,939,423,815,371,125,
686,013,772,499,649,752,861,101,279,170,591,770,897,424,881,789,779,192,443,
194,388,564,275,832,070,507,795,285,311,184,565,711,174,036,885,076,642,675,
047,706,688,716,933,589,557,197,370,063,362,449,691,893,945,153,627,112,138,
876,092,509,882,890,647,537,906,571,010,896,352,434,170,724,072,952,714,209,
824,822,640,462,767,553,965,844,789,998,751,899,218,388,415,832,024,281,738,
440,402,537,472,922,937,125,349,833,446,118,332,093,175,799,121,792,602,108,
769,036,543,631,251,244,856,288,651,342,471,723,941,907,445,038,089,387,840,
079,744,100,538,778,423,799,999,294,589,447,010,416,289,242,911,254,374,126,
903,979,444,237,992,017,286,275,980,094,111,354,004,189,265,196,580,426,532,
627,689,875,363,531,836,290,142,523,625,545,700,104,278,862,411,934,557,384,
150,942,487,329,769,565,719,779,493,606,184,997,192,252,056,054,754,560,504,
341,598,713,631,180,865,946,095,368,335,554,369,754,527,230,249,568,161,638,
374,904,836,951,567,759,068,851,933,475,219,088,204,532,893,196,831,518,668,
279,708,105,407,197,498,041,368,495,695,430,145,808,528,216,294,983,947,071,
861,978,289,532,438,788,673,026,788,932,657,041,138,950,377,933,212,963,726,
738,294,719,895,801,819,137,488,471,039,079,910,098,648,338,466,102,516,498,
651,169,163,411,659,581,407,163,737,878,785,507,295,328,007,615,817,319,167,
157,866,103,283,975,404,943,418,038,364,404,948,974,201,769,570,974,876,141,
815,295,544,282,024,078,288,431,816,457,843,330,014,708,391,469,173,508,182,
869,826,317,367,705,918,308,591,605,064,331,012,656,030,628,231,643,558,550,
443,348,007,585,490,168,337,039,923,905,083,268,695,419,296,246,995,928,924,
585,223,015,779,968,696,371,819,896,507,159,149,792,291,647,780,084,851,229,
938,695,548,297,884,201,326,941,124,652,965,691,641,585,231,026,914,451,553,
021,716,021,332,855,439,559,510,368,296,226,849,221,327,138,541,692,345,030,
445,975,445,053,009,466,271,544,641,979,018,098,966,911,381,608,987,342,741,
114,461,953,389,682,497,535,846,630,238,640,611,999,291,391,536,760,846,799,
189,902,914,763,595,867,897,287,980,466,207,506,109,973,583,418,908,842,565,
444,585,516,125,853,664,334,437,737,255,071,857,429,336,866,329,460,278,388,
771,928,438,095,075,685,643,395,371,180,855,089,250,070,851,973,977,471,562,
911,312,184,847,243,056,562,630,074,401,475,699,770,798,939,246,206,216,031,
267,714,753,594,361,666,685,883,655,082,154,578,592,371,954,945,849,863,690,
069,963,695,810,958,691,297,443,531,464,377,889,935,831,312,299,302,212,559,
869,217,463,662,956,306,060,987,396,046,270,510,914,989,367,760,078,369,141,
860,140,820,757,823,422,513,390,154,730,001,546,763,822,080,642,161,896,027,
511,301,668,406,314,698,769,607,782,789,615,857,641,362,727,135,901,654,215,
362,877,843,792,562,983,156,738,142,377,850,662,876,871,016,540,737,518,758,
750,059,772,451,481,148,013,048,077,794,424,053,628,457,078,383,089,701,081,
335,901,351,554,052,269,693,448,010,212,923,872,978,932,370,523,980,204,882,
441,338,753,547,988,198,012,670,743,855,205,756,007,255,641,545,908,530,744,
271,051,308,729,050,183,196,268,916,952,156,072,240,880,646,332,970,089,858,
229,554,093,359,859,451,016,168,850,450,860,981,616,953,607,171,549,471,030,
777,333,715,929,076,100,346,901,828,948,192,400,092,384,399,676,942,290,061,
027,624,609,884,575,085,842,682,398,837,661,287,560,884,118,295,925,797,462,
282,251,904,451,710,297,256,383,678,934,905,215,242,429,260,608,452,670,124,
627,439,493,721,000,474,137,441,184,985,805,494,229,727,987,138,074,598,439,
128,985,578,803,611,639,838,449,646,503,498,498,574,752,085,867,614,904,724,
712,735,419,313,413,175,725,700,571,562,941,110,004,107,164,596,180,919,329,
438,741,178,027,886,193,750,697,134,617,285,388,527,888,674,715,730,855,824,
799,221,346,513,381,740,014,741,303,185,588,128,764,212,136,981,087,694,693,
450,097,425,494,441,570,456,786,544,257,679,160,860,392,151,231,749,367,249,
095,662,892,260,778,663,560,211,570,691,179,724,936,713,819,065,902,773,156,
415,276,376,684,922,543,916,636,923,174,457,265,459,071,085,619,201,148,130,
060,111,791,204,907,914,339,401,056,952,404,048,134,008,277,296,806,819,400,
295,694,856,291,977,718,676,779,161,670,229,523,065,522,057,495,295,736,607,
428,752,653,729,426,756,882,006,820,984,375,990,668,861,720,636,787,037,570,
644,823,472,921,339,303,015,959,467,235,686,542,824,102,069,493,634,339,094,
612,197,899,469,815,269,857,249,271,541,171,579,374,692,594,284,060,369,270,
344,882,653,471,560,211,100,539,351,679,941,108,248,039,514,991,513,823,369,
478,749,490,496,128,101,406,115,422,643,204,475,763,058,225,043,566,549,977,
604,363,425,422,691,253,971,224,834,625,466,605,048,418,854,342,795,534,067,
658,335,769,019,093,373,084,160,047,720,292,959,190,132,325,443,826,901,500,
069,705,748,032,698,413,941,978,595,119,733,560,079,596,965,294,181,236,022,
304,079,334,102,721,910,178,067,957,061,750,156,092,851,677,449,143,638,811,
391,578,844,062,757,252,285,923,973,164,229,577,850,032,319,904,131,779,951,
960,199,831,947,866,786,757,231,675,713,606,791,194,945,580,713,949,892,040,
286,666,146,474,740,689,579,753,034,738,398,970,909,089,376,896,701,860,435,
743,697,896,614,211,762,084,211,635,772,975,790,666,342,050,071,077,128,157,
208,536,722,996,153,872,892,366,858,595,920,246,369,481,400,835,157,631,586,
707,649,888,744,807,826,450,781,938,163,182,824,082,909,358,833,313,502,836,
264,238,388,993,094,711,618,524,376,620,309,744,185,572,302,408,870,728,537,
668,351,299,738,563,295,219,400,649,674,608,080,175,002,620,539,927,660,745,
310,495,877,719,856,192,932,598,961,353,559,504,095,708,725,112,985,785,416,
942,262,201,848,316,344,696,507,178,725,491,547,660,736,794,127,728,534,160,
421,045,594,325,754,914,320,280,071,989,553,502,992,024,806,901,572,671,930,
588,798,345,991,508,137,629,992,698,172,053,308,268,461,630,564,111,307,282,
731,425,086,846,124,100,090,272,108,180,728,658,075,591,853,605,151,426,748,
718,665,529,245,707,545,055,107,881,993,104,874,863,594,937,868,781,111,179,
101,297,414,823,792,972,854,437,389,160,273,962,253,954,225,841,312,556,686,
388,268,191,743,030,640,060,002,439,857,269,902,342,124,181,691,945,694,519,
791,464,939,349,006,303,259,390,866,526,893,555,975,904,324,392,241,836,424,
459,200,060,505,652,728,075,138,071,374,158,493,306,098,232,848,419,019,305,
498,616,630,016,735,306,400,153,929,618,857,710,636,574,180,935,665,623,086,
452,543,563,119,255,530,113,537,600,659,249,868,895,390,259,966,918,112,596,
645,951,723,606,564,514,101,521,646,482,823,297,817,896,472,580,456,542,699,
741,869,746,789,533,067,379,250,047,830,508,325,134,670,413,651,195,901,502,
911,115,960,470,444,588,434,919,631,848,240,305,277,383,533,248,684,644,179,
255,476,301,654,093,042,732,202,458,343,589,126,285,995,403,927,450,898,183,
901,588,511,590,097,829,826,633,772,280,741,810,595,430,552,061,025,588,612,
297,810,738,104,115,532,618,551,130,746,621,227,520,726,652,478,224,425,139,
185,094,017,135,986,522,437,615,509,506,486,901,672,895,977,072,578,468,138,
145,313,312,487,161,775,540,019,108,407,502,144,707,728,373,294,479,154,067,
179,790,485,726,264,660,337,574,372,529,349,080,439,116,968,121,351,066,397,
310,565,746,754,146,649,502,418,051,951,391,025,496,342,090,402,225,426,959,
154,538,837,998,846,717,664,141,827,741,472,995,846,042,535,890,588,887,682,
574,217,121,961,954,636,629,332,168,268,882,332,917,553,921,258,490,503,864,
443,808,429,339,778,478,955,988,851,870,829,227,380,841,827,725,869,859,685,
284,574,418,631,020,125,677,151,780,025,136,676,487,887,321,938,204,552,697,
965,879,848,240,968,624,383,947,847,732,609,417,599,190,296,180,184,558,447,
418,941,075,220,047,847,019,276,204,988,382,591,712,265,953,085,889,290,390,
390,642,715,270,000,483,835,201,348,473,429,870,192,796,114,403,251,976,068,
591,909,939,849,696,493,527,581,274,678,571,989,873,380,739,629,771,540,686,
214,413,446,190,851,940,382,329,391,643,341,479,878,002,273,178,917,668,964,
298,107,595,112,939,783,553,327,851,258,696,444,221,790,374,079,710,007,917,
351,686,893,361,693,831,043,198,776,029,171,895,500,240,950,122,535,112,896,
732,563,221,999,987,297,554,974,538,762,918,389,514,900,737,204,558,661,433,
477,140,644,269,383,963,399,448,154,174,552,711,506,576,663,040,592,244,426,
491,874,578,312,149,439,980,229,482,923,920,165,550,782,464,202,703,869,545,
223,069,604,365,822,455,007,996,110,576,640,212,069,494,555,545,559,641,920,
615,782,275,656,213,952,264,920,744,797,212,896,979,134,217,973,424,441,022,
632,600,064,269,578,780,767,196,003,308,936,747,898,412,210,887,710,321,639,
292,278,951,493,399,139,251,286,713,980,419,212,861,575,160,452,095,671,238,
077,810,371,092,229,094,512,539,630,524,871,179,160,811,477,425,887,835,427,
340,907,572,969,693,115,608,308,088,080,446,760,840,680,656,336,745,995,761,
877,244,910,973,516,914,955,499,601,898,420,259,040,957,802,046,666,385,493,
000,238,448,881,805,250,475,195,678,036,377,062,186,108,837,719,712,571,730,
574,660,454,437,649,861,194,125,873,394,164,291,034,113,479,727,319,092,024,
004,055,069,460,342,279,772,267,845,468,897,994,699,503,450,163,732,123,078,
320,067,740,917,856,557,396,400,235,557,663,165,050,270,363,942,822,862,473,
932,918,834,244,806,715,740,295,317,250,552,331,081,627,332,857,806,724,869,
031,356,014,002,847,841,631,198,267,119,618,737,230,642,318,186,316,442,618,
780,088,359,028,316,341,612,461,759,438,149,432,592,313,697,944,803,698,202,
379,765,566,024,561,184,866,895,811,557,908,702,219,922,502,166,180,931,164,
413,512,572,813,398,574,861,385,046,458,351,281,882,929,523,715,682,750,233,
205,065,638,550,577,144,024,493,198,189,917,644,212,508,323,657,682,530,699,
777,963,902,380,381,523,607,012,105,192,551,634,607,285,720,292,806,165,790,
385,596,482,736,905,255,356,805,684,505,503,842,178,928,795,400,933,235,336,
484,472,681,754,664,986,689,790,447,575,645,557,917,042,147,571,629,683,302,
827,055,818,904,871,052,478,514,458,420,098,458,095,215,384,989,391,266,751,
794,006,261,319,110,158,764,041,810,385,650,613,287,358,069,969,900,091,916,
077,373,106,333,431,754,295,558,956,399,459,210,836,560,542,952,289,343,790,
392,373,356,704,389,697,566,292,913,800,591,320,165,312,522,809,413,762,315,
496,283,528,426,650,561,640,770,455,966,915,356,612,040,409,976,310,422,121,
540,869,678,066,290,840,917,677,664,266,109,789,515,344,021,796,353,653,712,
791,801,438,857,006,780,695,262,600,536,847,272,042,161,066,779,528,201,146,
576,189,866,812,032,228,274,614,100,083,754,890,715,644,304,832,212,425,118,
716,033,503,949,197,354,716,944,901,805,185,286,286,854,750,049,968,333,949,
490,970,616,558,920,832,888,979,873,156,061,203,211,403,522,793,345,831,876,
012,787,064,690,555,495,792,288,321,623,145,331,329,805,529,234,977,573,918,
804,812,780,260,562,227,000,293,977,974,838,558,533,787,479,698,054,318,280,
300,208,045,261,652,529,070,589,407,847,186,945,513,099,444,959,621,535,867,
344,825,986,356,014,374,164,039,039,754,453,687,917,578,214,348,675,431,231,
853,426,394,026,930,272,991,548,138,850,178,960,192,372,230,685,757,265,593,
794,972,726,645,974,859,982,240,151,285,073,650,885,072,905,224,351,625,150,
895,245,085,736,157,367,808,404,096,507,968,128,314,018,982,121,704,613,435,
913,621,838,522,572,733,830,652,154,186,836,799,102,520,517,323,006,719,442,
857,323,244,933,500,426,214,852,601,966,142,604,373,098,402,774,672,316,531,
612,707,555,454,102,392,755,476,007,201,336,411,998,713,987,076,190,507,795,
534,140,149,930,899,802,189,397,693,057,382,390,106,403,470,481,704,672,954,
668,827,593,925,409,630,560,096,389,830,719,440,152,171,589,242,359,627,532,
843,217,549,881,515,941,770,722,565,972,221,932,888,442,786,700,321,064,967,
880,317,415,369,495,949,705,518,796,344,031,067,340,389,794,166,412,604,148,
382,580,156,419,819,751,095,156,279,749,604,332,652,108,062,425,609,134,926,
346,736,064,859,286,820,114,950,930,115,564,000,602,690,868,247,810,566,833,
817,810,473,676,290,137,634,500,408,857,374,287,394,691,628,431,891,141,367,
495,550,346,483,367,689,202,670,967,417,071,548,659,153,519,535,698,425,181,
065,645,116,422,408,929,014,956,497,252,750,425,091,986,026,185,853,184,365,
572,217,291,643,412,683,224,268,753,642,112,881,955,932,747,644,338,003,681,
428,935,145,707,972,368,841,928,632,777,806,758,080,292,917,102,047,981,822,
860,362,427,119,392,513,592,840,716,630,297,169,011,388,757,364,947,381,424,
139,038,793,077,519,595,277,957,805,814,574,445,580,176,737,334,900,808,850,
055,029,916,803,350,051,849,071,644,326,520,618,598,139,227,357,910,563,292,
434,641,690,324,744,908,779,333,809,760,133,795,890,694,587,805,868,452,852,
211,135,793,959,389,279,992,689,883,203,391,096,254,146,624,258,492,389,325,
376,034,121,362,452,721,923,940,332,753,223,385,131,203,687,333,217,483,246,
980,640,832,491,011,666,560,635,335,744,692,720,649,376,271,284,121,878,965,
758,784,160,786,080,453,199,941,342,218,463,786,480,774,925,476,403,126,617,
985,639,557,120,707,405,534,098,700,813,047,105,291,006,286,758,323,063,628,
261,877,471,957,001,105,712,233,686,562,985,925,814,035,714,788,341,973,278,
372,489,034,823,268,518,062,288,171,486,061,106,754,219,219,584,933,145,628,
691,393,007,049,971,443,003,301,597,595,292,908,472,527,616,943,943,506,168,
860,474,919,930,592,722,747,083,653,449,553,302,111,626,852,332,670,135,306,
150,382,821,972,309,252,891,072,538,331,962,125,523,836,889,702,837,551,285,
357,704,306,746,773,141,703,995,632,212,093,924,905,346,081,115,731,018,152,
461,353,429,506,292,796,502,809,363,442,456,311,608,017,438,456,747,988,920,
591,245,021,035,494,950,865,411,230,431,978,875,938,712,127,488,967,840,972,
729,130,570,604,080,527,407,095,751,157,068,817,959,306,879,139,878,066,883,
870,602,231,489,054,951,158,687,824,790,386,461,871,960,486,123,177,932,137,
889,300,969,100,127,476,659,739,042,137,904,915,454,211,764,837,955,678,729,
418,361,929,176,669,203,020,578,831,044,456,831,941,715,352,044,246,720,721,
785,943,191,417,216,976,737,899,900,072,969,366,649,428,126,466,750,735,749,
413,527,084,938,363,295,853,275,924,650,861,965,505,296,181,857,381,625,741,
116,248,775,719,369,035,344,809,912,044,342,916,968,734,201,882,597,685,167,
926,004,828,427,395,669,363,889,354,726,061,236,107,886,668,571,767,678,289,
743,039,728,563,202,287,291,855,623,503,750,489,186,492,066,490,634,466,526,
152,059,256,088,229,384,678,825,466,746,579,903,763,453,717,414,184,148,823,
611,355,933,414,699,985,617,434,238,758,118,896,216,868,327,305,016,728,630,
350,833,170,080,835,979,740,908,408,616,769,229,581,014,678,852,928,687,977,
736,515,075,448,840,205,996,730,509,547,242,998,062,456,531,079,734,469,536,
451,766,650,329,611,750,325,739,905,798,311,883,317,392,048,502,636,582,065,
906,605,288,796,935,020,667,178,652,509,999,249,467,729,272,704,810,721,287,
768,680,233,369,070,406,622,835,359,143,218,845,282,939,205,117,021,812,281,
953,129,898,146,296,734,631,249,023,010,336,200,810,000,543,759,018,454,388,
864,641,074,163,508,154,188,701,193,951,762,406,902,501,008,550,262,196,979,
781,727,889,513,372,212,252,123,115,178,209,897,465,117,154,561,435,002,208,
043,417,820,054,121,522,053,385,703,468,774,666,178,269,883,405,479,347,707,
992,060,288,498,892,976,128,246,050,874,405,028,891,687,737,160,104,957,340,
363,484,681,150,590,190,698,662,473,371,612,274,447,970,428,085,301,121,387,
718,099,879,195,758,158,900,378,352,489,332,861,268,138,433,268,947,878,642,
133,265,320,974,527,964,452,084,601,707,268,654,175,953,576,610,762,164,465,
449,911,614,858,179,527,598,362,598,217,106,093,133,459,668,993,799,427,348,
340,002,640,019,956,229,398,233,276,435,874,158,310,568,295,825,959,119,466,
413,359,068,934,960,773,252,002,139,363,051,238,744,965,600,112,577,262,476,
262,551,760,157,101,401,877,596,645,172,098,712,823,700,333,185,799,830,063,
801,241,039,760,297,686,641,670,249,473,331,360,901,852,697,598,986,189,830,
197,162,350,273,777,907,757,259,528,231,113,205,325,228,666,882,306,540,748,
671,330,380,106,282,615,932,931,380,836,439,822,662,777,894,136,682,780,183,
399,306,921,524,047,381,584,457,906,453,882,182,382,724,973,874,508,748,030,
421,847,989,111,187,044,304,617,864,781,341,270,369,338,222,326,190,803,100,
785,358,692,750,258,445,286,108,283,195,428,897,411,554,952,355,387,615,981,
658,085,078,812,411,370,114,079,854,984,966,066,649,384,983,817,368,162,387,
222,669,899,425,157,158,967,873,597,400,581,141,448,985,674,229,576,258,343,
927,802,717,086,253,340,736,608,066,035,456,933,326,005,153,505,170,327,030,
642,278,228,149,471,347,197,976,963,104,078,251,332,330,858,638,017,257,478,
724,556,527,244,437,349,534,719,607,404,020,972,316,441,940,269,430,271,279,
794,832,858,872,399,306,906,285,510,163,757,660,423,741,403,924,906,671,480,
673,095,107,353,709,582,253,424,847,495,940,688,117,199,972,218,706,688,814,
087,598,627,911,274,644,089,846,219,301,668,382,822,490,289,751,082,443,682,
634,009,109,525,526,920,901,009,905,915,912,094,362,739,154,992,478,212,014,
471,952,023,667,664,262,017,975,500,770,137,088,946,938,877,652,490,260,283,
083,880,505,892,330,955,692,209,611,807,168,270,137,264,151,528,182,664,690,
490,231,539,341,665,895,391,104,574,501,379,284,957,744,179,049,236,303,215,
261,527,577,303,479,378,205,378,850,807,850,152,319,393,724,025,102,368,608,
216,495,983,026,523,637,869,031,067,722,245,431,631,406,173,484,813,714,863,
509,422,701,188,335,282,288,155,385,366,095,309,074,035,590,446,546,594,071,
548,476,046,189,275,725,443,685,634,787,186,105,558,112,263,232,322,725,034,
335,896,820,165,662,975,421,073,532,758,613,353,599,965,122,356,057,705,254,
274,789,508,880,364,017,821,543,101,558,839,508,645,123,295,193,746,049,487,
994,332,273,798,183,393,288,998,662,465,320,968,491,908,774,618,572,663,944,
493,518,980,877,755,605,488,571,408,372,806,565,214,702,734,396,653,736,053,
809,220,694,103,350,686,839,712,558,468,885,127,611,315,645,208,339,628,504,
285,034,691,471,710,567,501,583,721,313,098,056,286,111,949,516,458,800,500,
888,657,321,897,134,098,848,578,701,287,754,996,072,840,445,839,475,855,164,
659,442,065,171,857,856,518,047,103,005,018,422,574,646,903,403,125,824,388,
124,411,870,759,721,463,327,331,335,009,243,750,966,148,417,334,439,026,937,
810,317,274,757,014,509,057,616,564,003,476,710,762,857,141,430,166,575,217,
444,040,545,574,889,690,473,303,045,993,922,275,783,024,328,015,819,140,311,
756,176,156,235,526,511,538,322,224,531,572,918,288,000,794,303,355,885,517,
582,591,742,897,420,377,418,344,427,481,273,022,350,641,883,040,626,528,602,
143,755,577,089,249,815,310,444,670,859,150,592,576,116,402,174,077,965,101,
657,186,913,554,230,555,549,521,495,279,408,025,261,121,170,743,548,347,426,
163,553,452,866,137,279,383,134,943,267,972,126,704,421,258,764,245,592,722,
387,219,954,312,448,910,862,659,546,665,581,616,627,535,309,659,901,000,944,
847,574,979,116,593,157,147,227,471,565,037,052,265,243,186,532,123,961,619,
678,959,816,254,686,418,987,683,721,291,639,146,505,068,696,020,120,393,267,
574,750,465,766,315,561,230,966,666,047,202,672,878,184,262,322,017,354,228,
498,204,334,061,815,198,564,681,985,232,898,570,712,762,662,917,093,143,848,
414,901,724,920,959,022,401,189,560,866,470,386,326,003,758,681,344,207,097,
622,133,269,194,463,572,765,339,774,673,450,873,169,923,236,056,110,475,287,
397,518,251,860,039,677,839,692,676,888,000,311,349,585,738,022,787,991,524,
503,295,935,587,936,769,065,061,738,619,658,088,633,955,467,493,489,303,751,
897,242,289,834,224,483,152,491,305,396,594,101,512,952,688,952,692,588,413,
929,943,264,850,917,146,492,178,030,826,252,885,764,552,045,199,792,295,031,
446,934,218,435,875,190,115,013,280,644,667,647,401,768,176,122,562,783,047,
142,743,382,723,726,985,591,762,391,367,447,125,055,869,025,060,505,908,376,
651,193,910,400,065,064,746,666,896,432,392,316,254,592,883,691,238,434,097,
457,255,904,916,497,957,056,916,353,346,335,795,970,196,002,138,920,083,537,
561,709,135,456,566,686,898,326,491,684,678,301,546,592,989,918,299,778,376,
863,697,635,005,360,131,300,305,799,841,518,771,009,873,173,337,600,152,964,
893,673,737,518,452,159,865,842,254,632,027,023,413,882,393,386,083,900,279,
233,596,524,846,302,067,659,704,647,838,235,617,585,019,106,944,983,260,431,
746,577,907,132,332,219,083,430,252,884,753,729,434,174,296,465,045,107,874,
921,838,519,530,711,837,650,227,855,779,057,165,426,402,761,729,140,463,199,
171,740,416,974,622,969,798,529,268,863,638,435,495,495,997,543,431,441,763,
393,498,388,932,517,765,980,881,652,858,065,075,487,325,965,005,532,694,667,
623,621,510,670,969,023,652,677,424,816,906,576,952,559,692,840,626,705,450,
971,773,024,909,951,811,859,511,735,071,533,664,884,470,914,363,547,749,357,
603,878,877,787,563,987,271,664,469,547,058,289,181,837,948,576,299,597,264,
085,905,726,775,446,833,111,835,897,097,031,162,695,767,378,526,845,007,837,
183,445,714,371,043,574,391,398,107,378,680,229,341,239,107,212,879,217,724,
004,065,226,988,552,187,296,474,328,816,922,707,368,686,125,620,068,646,741,
938,879,168,044,652,136,098,223,549,841,665,934,959,624,065,455,941,211,140,
019,208,537,531,134,660,978,460,820,634,533,346,301,965,277,764,912,273,060,
031,468,209,978,623,354,543,643,583,006,971,315,023,297,360,562,103,602,536,
166,877,464,598,125,457,446,972,876,127,146,750,975,113,779,234,370,043,829,
005,485,738,012,741,792,527,494,013,941,608,733,366,118,481,947,556,195,336,
177,020,426,410,479,566,733,173,019,212,612,378,699,335,194,551,400,420,040,
962,409,028,987,168,745,867,133,329,568,053,910,773,505,928,523,907,247,519,
243,715,588,769,066,525,606,227,920,807,885,309,459,893,159,472,078,372,988,
370,157,335,246,297,751,828,422,616,317,609,976,691,102,874,387,189,497,051,
180,195,580,652,135,364,946,395,713,388,732,178,744,300,862,526,687,397,648,
198,242,067,996,903,632,186,932,893,366,709,675,342,559,389,552,350,128,188,
403,709,927,116,066,251,117,038,449,234,028,791,597,835,189,711,380,395,311,
709,067,121,421,314,929,727,709,867,872,554,805,505,072,302,786,843,005,058,
742,235,924,049,194,956,861,824,885,433,967,455,996,781,160,831,071,197,258,
088,608,756,950,757,992,573,773,362,855,946,428,252,580,167,015,032,422,942,
668,931,019,769,697,892,082,134,823,172,047,831,186,367,304,566,412,707,906,
019,999,837,705,375,533,739,824,680,129,626,528,910,661,921,210,349,626,679,
759,676,251,616,268,051,780,082,040,900,896,898,556,946,597,563,853,289,304,
320,463,633,719,321,237,199,150,354,158,096,474,717,881,539,068,503,630,765,
511,479,968,510,768,463,320,659,013,974,151,305,138,331,261,779,787,368,585,
954,254,289,975,226,186,456,891,876,997,760,714,897,749,040,638,862,717,040,
897,136,544,814,808,563,392,875,079,757,946,095,404,024,320,714,147,408,250,
683,511,223,789,684,116,644,864,579,224,189,272,277,755,320,122,503,880,189,
164,492,154,965,395,572,481,722,741,736,180,098,983,464,797,824,498,175,257,
276,743,339,711,691,560,808,431,290,759,515,591,231,315,711,541,740,594,539,
049,663,553,434,725,612,802,404,566,508,514,521,663,821,879,445,761,124,575,
014,192,365,682,812,995,556,164,597,086,997,670,713,606,809,566,373,654,484,
097,217,577,874,521,256,297,191,380,587,415,871,827,634,646,430,025,988,732,
331,455,591,497,067,924,066,402,170,223,421,766,278,042,767,333,071,033,723,
156,967,347,672,477,678,286,003,260,356,042,973,056,911,791,945,628,113,593,
715,753,518,813,740,610,223,427,723,728,953,967,876,615,511,220,529,831,519,
031,879,407,517,589,676,461,732,052,039,752,048,342,364,016,510,229,178,567,
120,431,852,755,361,825,060,556,671,997,862,747,837,763,563,422,093,070,632,
248,489,443,748,661,893,953,509,119,428,328,871,832,404,475,135,941,555,188,
013,346,611,565,665,578,478,879,068,041,471,380,675,355,826,275,410,934,923,
750,394,668,008,827,647,332,919,459,503,987,226,919,241,234,984,835,117,496,
995,922,216,410,927,722,979,359,945,440,172,625,420,692,889,242,411,470,063,
834,350,526,649,350,830,508,759,488,092,228,253,949,337,127,166,500,011,010,
194,399,785,068,637,352,921,062,171,177,218,143,376,633,297,384,029,899,392,
236,022,368,054,487,564,163,888,056,101,887,906,205,080,445,934,336,722,931,
498,072,526,580,706,831,302,857,836,975,946,838,580,320,337,507,950,946,888,
974,720,260,185,117,082,173,562,628,992,580,304,884,979,325,105,583,933,438,
260,361,078,590,098,994,167,352,027,419,604,689,137,493,305,876,480,086,749,
257,588,881,035,427,121,301,252,133,179,049,864,790,657,558,047,409,784,193,
947,864,199,530,199,876,617,167,937,865,168,085,028,153,993,104,631,218,578,
108,300,397,860,240,656,429,824,441,212,153,268,003,790,733,548,204,839,594,
960,298,219,754,783,758,848,455,582,585,940,603,980,118,198,120,571,379,193,
160,300,501,965,470,171,493,804,017,289,241,621,701,387,039,624,927,372,931,
202,871,402,829,693,369,379,315,670,577,628,186,094,628,405,029,759,287,712,
096,027,440,878,629,917,305,063,189,643,215,881,086,014,856,149,903,450,835,
306,665,864,704,393,818,095,416,026,026,915,650,437,573,053,295,958,365,705,
263,568,154,430,730,538,187,106,506,522,934,788,274,737,360,361,036,296,522,
124,527,331,313,917,845,421,295,059,062,861,389,617,668,213,336,547,805,517,
972,541,528,216,798,315,630,080,760,215,042,499,544,222,545,164,002,032,217,
715,853,649,941,874,109,607,266,380,521,134,929,516,400,662,093,780,848,010,
596,611,979,388,794,438,985,678,602,359,591,335,534,862,686,785,362,219,641,
723,822,028,768,154,791,922,809,183,816,756,784,503,677,745,187,706,132,829,
663,483,058,415,291,315,107,915,035,553,404,992,978,276,782,151,515,334,409,
575,799,713,658,048,420,140,748,442,030,972,155,693,240,260,970,189,919,997,
974,115,739,993,802,166,729,665,643,358,699,509,796,716,571,465,833,130,039,
252,755,259,096,066,169,871,073,779,113,421,877,559,064,077,762,737,272,219,
386,084,305,772,808,673,454,110,696,058,171,931,033,375,344,229,699,812,691,
114,890,692,565,688,305,749,226,279,011,188,373,895,265,676,631,672,878,683,
082,338,494,738,642,522,866,164,188,771,838,253,870,263,616,995,991,040,277,
402,751,573,584,992,081,201,732,629,705,986,741,135,781,156,276,682,768,697,
160,644,355,157,985,363,997,071,304,431,174,697,692,433,734,787,387,070,473,
202,824,749,432,884,653,388,578,765,862,748,285,363,580,584,467,545,405,406,
942,947,887,433,320,943,976,763,327,324,647,126,303,386,550,068,584,321,314,
862,446,233,030,778,423,365,101,657,679,201,164,190,207,635,846,914,956,182,
627,336,377,426,887,382,618,955,355,090,173,663,180,620,109,979,440,683,309,
068,557,067,124,575,739,710,670,621,847,947,469,410,814,903,756,254,746,389,
194,106,331,792,929,930,302,150,317,985,611,343,408,863,673,034,207,590,569,
138,800,414,360,009,113,894,588,186,420,175,668,976,220,267,492,447,290,540,
371,238,414,831,899,925,935,214,493,296,848,391,541,972,959,319,202,649,172,
572,295,086,368,686,629,480,599,699,956,760,615,244,173,714,453,803,214,537,
089,199,183,343,695,989,718,084,313,031,465,099,108,374,743,819,563,538,778,
314,325,290,118,458,225,009,017,364,859,669,130,814,942,670,113,441,818,016,
886,493,172,691,843,296,174,257,191,211,147,616,038,061,980,373,703,601,468,
380,737,936,432,348,332,544,225,239,709,784,198,069,780,129,083,643,051,253,
821,497,136,864,607,916,948,093,229,940,744,367,478,873,677,457,964,184,236,
875,344,570,196,410,610,149,423,405,911,400,066,970,066,570,152,531,990,759,
680,946,089,728,901,280,098,867,175,565,091,703,901,113,813,112,615,282,999,
185,106,804,723,299,098,743,817,374,790,712,225,212,974,806,131,999,747,658,
827,839,439,800,154,905,580,872,242,836,903,988,497,355,357,318,768,995,732,
098,091,982,248,244,968,140,762,615,471,546,338,288,040,499,435,719,234,207,
837,564,323,962,775,182,567,197,301,651,771,278,920,650,091,800,597,883,638,
428,268,312,414,387,893,662,963,867,737,044,970,796,882,761,448,482,466,651,
205,390,846,893,511,988,070,643,789,969,720,341,458,382,942,186,808,118,268,
627,639,186,591,752,522,515,001,072,582,725,253,567,506,399,342,880,943,799,
112,362,309,848,496,557,609,280,404,754,633,112,259,068,326,940,127,550,026,
238,378,680,709,719,584,677,487,875,282,001,649,765,861,871,394,838,573,915,
903,797,062,839,329,085,262,791,580,427,139,773,916,562,520,687,544,318,716,
065,176,466,522,017,170,850,704,472,647,610,804,179,410,258,658,567,596,512,
614,723,177,826,385,453,390,190,414,861,741,822,846,479,467,011,378,342,900,
881,972,653,687,085,186,038,493,821,076,269,910,062,382,154,957,083,761,071,
211,671,284,900,542,034,282,343,330,241,719,371,053,082,773,859,790,980,412,
030,988,987,687,841,671,585,791,199,469,024,533,399,091,182,306,856,783,794,
703,780,022,356,752,515,090,771,395,989,746,648,194,659,656,355,056,425,585,
674,397,056,207,251,964,794,672,139,205,647,711,500,282,151,730,937,900,872,
403,973,222,667,337,669,007,495,995,345,814,818,113,857,101,934,090,571,781,
386,999,161,803,038,456,297,680,528,699,077,981,761,944,506,050,743,200,674,
255,022,954,504,333,107,223,839,032,811,174,411,937,788,068,536,774,067,814,
749,377,962,493,190,356,978,147,264,048,272,075,901,654,803,204,638,332,719,
262,776,403,983,339,509,726,055,146,684,869,408,294,082,484,704,871,708,840,
295,396,726,013,562,188,773,376,772,910,905,949,055,706,559,269,687,394,743,
077,129,215,974,699,693,797,240,313,299,309,277,627,711,897,411,836,638,138,
288,349,177,455,733,924,776,448,090,712,583,063,802,839,520,193,713,909,165,
939,480,607,482,179,380,428,911,339,389,409,628,712,336,361,871,168,698,085,
799,829,566,127,263,112,881,975,077,128,478,602,173,254,894,358,345,791,776,
933,465,703,405,420,042,573,412,972,714,477,437,410,017,875,052,778,617,667,
677,570,206,577,728,271,978,754,054,412,687,060,505,934,583,320,968,452,900,
348,336,884,101,051,397,539,385,402,127,555,566,066,659,204,027,280,008,342,
614,410,112,033,423,987,084,826,195,636,789,322,979,691,841,947,299,091,586,
390,826,566,182,284,080,021,840,414,704,256,805,682,528,184,512,869,737,331,
857,628,224,104,346,229,238,993,813,773,182,723,427,368,821,876,296,174,955,
340,408,848,561,367,549,882,604,277,586,634,950,020,723,915,553,925,537,387,
711,817,485,198,105,649,638,691,765,807,725,859,083,755,917,596,577,072,748,
268,162,020,213,152,319,328,471,082,588,025,413,261,653,084,016,572,795,906,
378,804,889,774,949,347,827,927,334,437,004,259,784,589,339,490,527,794,465,
354,443,513,423,880,744,044,376,971,384,739,675,769,061,380,622,626,458,758,
709,134,354,368,857,727,372,249,389,461,180,401,507,966,335,700,255,824,331,
075,870,613,383,122,917,220,750,372,468,059,540,133,057,529,120,072,749,020,
394,419,331,739,537,416,566,459,137,075,104,817,128,940,605,659,183,497,137,
626,667,989,726,269,176,689,248,816,014,542,017,455,422,978,099,588,144,399,
194,238,579,596,648,202,101,822,941,230,562,190,767,068,230,611,752,221,386,
683,975,535,533,989,603,595,209,206,403,264,439,779,506,560,250,413,464,726,
464,209,375,010,706,104,823,106,831,883,949,163,808,534,067,050,987,569,790,
170,459,273,999,989,349,234,896,912,034,798,295,756,925,817,916,612,951,160,
067,856,842,855,575,223,891,364,280,559,094,118,817,041,484,243,457,696,112,
839,779,767,218,466,871,686,397,819,767,304,975,589,657,726,703,028,551,396,
852,140,948,723,213,987,765,313,051,504,906,110,903,513,528,746,147,769,884,
805,982,345,637,407,020,102,347,165,848,418,214,483,897,018,857,983,803,295,
701,023,888,948,294,029,471,506,496,318,023,108,395,950,250,639,788,669,345,
718,845,314,703,867,428,089,068,454,362,239,497,419,963,705,467,785,271,933,
300,090,496,073,676,801,705,265,096,955,833,926,587,826,653,364,782,368,761,
756,704,060,278,629,791,445,492,433,575,495,213,984,536,616,581,636,013,976,
487,486,571,076,011,679,263,176,254,977,068,482,286,773,058,446,360,850,850,
734,962,185,472,509,932,591,905,183,762,345,992,269,682,393,414,914,243,319,
696,200,855,430,578,256,767,632,129,550,943,014,373,276,858,555,998,468,755,
912,591,151,354,963,936,082,976,794,383,174,585,216,987,039,871,408,879,807,
769,876,363,084,729,772,284,722,533,237,979,191,584,691,570,117,737,013,840,
346,975,404,535,629,942,980,861,485,535,373,429,266,821,901,268,175,801,930,
547,163,902,385,203,290,657,351,811,913,093,959,371,541,630,523,966,343,166,
005,266,801,530,490,411,279,205,665,030,477,704,771,295,273,685,002,291,543,
461,651,660,444,944,774,109,975,367,515,416,087,521,775,527,986,850,133,049,
205,305,190,828,413,819,440,395,346,322,037,985,374,646,098,228,243,323,558,
865,639,679,330,059,767,416,041,376,552,973,554,964,764,001,683,921,486,259,
438,225,524,156,565,368,946,681,681,264,614,116,481,001,455,488,619,848,040,
602,245,183,181,555,184,845,534,747,543,475,335,637,667,304,308,192,100,540,
947,122,876,375,138,051,247,808,792,193,268,325,557,595,495,312,657,240,083,
721,622,532,016,200,185,105,595,177,880,786,288,473,879,059,449,439,302,830,
527,968,992,401,182,932,956,118,818,139,643,587,559,318,269,343,648,619,916,
243,323,276,257,740,868,787,248,002,286,882,000,308,569,217,739,775,457,012,
783,686,229,495,789,861,288,870,697,778,090,963,504,660,469,961,784,788,702,
253,553,960,242,676,689,001,704,204,730,546,828,181,416,648,182,055,671,123,
902,900,599,819,952,170,426,523,952,959,250,577,891,561,966,537,654,775,797,
364,876,213,816,714,948,195,751,051,346,098,000,600,278,771,578,797,616,283,
137,230,647,584,547,160,748,741,393,813,428,922,452,809,186,657,321,985,531,
453,767,244,915,309,236,254,900,147,598,929,724,368,077,157,789,946,776,552,
986,290,058,253,661,128,212,679,073,406,727,511,392,150,123,318,871,018,887,
029,574,958,595,936,975,688,006,095,890,908,533,213,301,071,364,356,731,707,
184,921,519,145,714,872,645,730,482,730,401,677,844,371,625,394,481,505,241,
856,464,387,558,610,134,936,625,125,311,338,101,248,286,298,647,071,564,548,
173,127,959,603,908,184,711,687,365,514,778,145,314,692,137,370,876,262,748,
273,201,068,818,787,393,696,607,603,128,761,243,862,216,629,088,120,883,534,
640,747,477,794,057,112,473,705,600,995,158,447,593,438,258,464,535,435,987,
889,570,526,614,095,787,239,592,300,794,920,559,992,256,808,221,486,359,060,
949,534,320,181,412,404,591,620,816,557,329,211,300,355,183,309,929,372,345,
140,823,636,445,573,742,760,311,912,677,796,723,629,490,026,395,862,371,539,
236,368,372,344,419,316,995,567,861,328,104,844,646,276,553,245,119,530,149,
844,672,167,715,080,632,200,032,955,432,409,460,138,904,929,008,773,675,794,
177,596,423,028,371,527,745,936,529,819,568,981,973,006,228,050,528,876,429,
715,260,089,484,067,716,886,325,227,438,858,993,877,286,994,650,079,806,258,
111,086,926,516,518,931,022,415,166,342,222,644,276,342,760,230,406,183,390,
217,232,269,232,994,245,153,102,040,018,699,971,632,360,788,111,698,781,852,
971,921,352,750,895,704,586,599,266,528,966,021,271,182,407,720,326,367,127,
598,789,350,400,760,832,900,340,579,249,162,919,692,437,574,184,262,929,938,
526,089,788,137,771,785,879,338,110,918,982,406,120,171,439,633,663,890,486,
343,121,914,872,236,182,115,302,835,825,402,277,942,490,252,251,263,052,653,
487,124,560,847,324,121,932,992,905,060,063,989,711,883,132,535,689,733,726,
002,461,411,988,196,956,282,206,957,465,657,793,959,697,182,982,800,697,589,
102,458,941,243,169,615,826,172,033,689,731,238,698,448,444,115,352,794,450,
091,002,031,366,702,248,358,551,363,667,756,159,048,222,368,149,007,251,766,
773,595,710,248,060,742,202,971,674,388,021,600,955,637,467,978,030,024,475,
414,294,289,809,569,164,473,111,974,714,361,916,912,204,701,625,397,083,757,
194,264,966,724,668,071,402,172,686,635,237,210,526,132,528,367,068,773,378,
813,172,273,758,751,640,077,973,649,651,412,216,373,730,913,644,016,776,555,
196,242,929,436,306,515,332,912,340,016,721,668,057,927,388,005,414,377,125,
113,514,917,011,084,148,300,348,629,173,296,794,152,489,362,618,058,994,061,
724,327,508,608,363,951,260,300,751,219,186,241,325,094,364,749,799,776,716,
678,815,738,589,097,620,660,915,047,790,886,543,600,549,340,983,733,652,844,
152,455,678,363,492,825,199,443,608,313,513,519,609,037,070,038,109,401,608,
193,142,603,398,700,063,648,064,014,911,284,122,423,814,379,935,709,940,048,
659,647,206,762,612,139,637,023,120,213,729,723,856,582,943,934,332,860,367,
915,363,931,886,134,423,935,157,462,058,983,946,356,461,735,044,539,841,862,
824,185,469,538,215,146,941,828,549,028,493,604,562,769,922,676,205,531,428,
521,432,013,775,474,908,360,644,124,360,669,064,344,547,494,148,977,266,249,
760,671,466,620,933,898,143,803,894,630,269,054,204,637,497,510,144,922,615,
983,323,238,451,069,369,764,407,775,277,657,820,348,208,777,230,842,987,451,
691,433,628,456,767,391,031,230,382,101,447,732,764,487,812,083,717,500,105,
176,560,071,606,779,570,647,593,457,745,601,212,198,549,514,735,056,353,271,
809,682,368,587,305,650,311,535,843,510,810,832,938,602,405,026,487,528,950,
899,294,650,219,518,182,135,442,506,143,153,420,119,814,571,124,656,401,538,
712,162,758,753,795,363,869,871,319,644,879,454,482,436,827,659,208,873,868,
963,252,179,217,033,164,034,561,524,121,156,155,800,505,589,098,411,723,703,
556,657,722,808,372,248,769,146,399,748,014,685,190,351,922,108,599,123,000,
208,641,555,685,268,642,004,470,979,714,031,735,189,268,790,576,065,875,630,
203,755,252,410,169,764,277,955,811,825,528,182,596,151,986,263,192,033,235,
169,577,107,402,107,292,367,436,945,120,801,641,654,651,378,064,879,462,045,
958,647,894,862,794,142,750,735,839,188,464,859,437,749,917,740,200,851,811,
186,901,699,564,906,450,980,646,983,045,360,234,831,649,087,440,669,095,179,
007,758,508,637,922,801,415,634,481,456,469,592,508,146,126,012,854,648,240,
698,466,077,435,239,384,632,582,687,482,127,573,779,898,370,115,030,759,474,
115,037,970,657,392,892,467,143,458,235,547,501,622,360,920,897,305,081,924,
132,048,388,484,348,020,041,739,478,731,271,535,573,749,606,856,584,374,966,
825,559,186,597,527,625,242,172,939,467,838,328,071,739,258,342,815,130,505,
629,235,277,527,263,354,966,538,472,585,640,610,941,490,499,247,310,725,242,
482,745,981,462,927,819,890,541,317,672,937,150,403,626,387,825,294,498,908,
890,705,716,187,245,948,162,239,960,075,465,967,116,579,883,865,049,879,849,
087,164,629,416,987,888,662,743,357,102,101,189,829,146,757,426,927,539,718,
122,478,358,987,331,031,611,343,406,313,030,454,829,170,522,579,232,387,660,
801,987,743,849,739,252,659,179,767,010,208,264,465,409,875,418,857,880,257,
348,388,546,797,549,795,847,888,994,429,736,651,054,174,885,176,309,967,248,
635,090,490,460,771,232,771,815,748,484,985,472,631,880,865,631,782,828,411,
583,283,980,912,301,419,358,918,353,034,335,427,082,457,360,008,156,469,959,
682,679,177,033,319,728,676,038,901,162,279,658,984,233,904,640,595,333,290,
551,013,851,864,153,074,759,940,682,104,324,744,880,647,632,064,048,746,106,
739,938,650,676,192,844,054,174,023,358,824,292,730,605,386,547,271,467,689,
521,055,407,623,982,424,580,007,937,594,494,449,968,601,150,738,975,143,814,
968,011,272,441,198,426,927,954,752,189,680,287,551,337,059,826,950,196,112,
894,144,229,549,453,012,935,969,087,493,089,964,057,178,184,488,139,069,268,
660,001,548,549,615,591,044,533,202,024,223,122,385,291,961,158,179,360,358,
520,629,940,230,437,937,374,202,930,290,907,535,814,430,015,460,351,815,702,
675,762,239,539,403,781,647,479,041,547,582,121,013,622,152,703,163,030,680,
550,159,691,172,391,409,146,424,939,392,999,184,312,362,521,307,225,766,801,
118,073,638,639,127,505,644,653,297,370,320,621,565,717,594,652,068,725,654,
720,258,552,230,970,019,292,681,197,067,970,277,460,262,481,837,599,735,308,
820,970,224,384,461,567,668,154,526,489,768,599,218,293,453,946,027,167,848,
817,837,365,257,609,275,173,619,794,487,673,954,464,403,110,934,745,168,119,
617,974,847,655,093,560,048,344,624,998,383,958,591,387,207,984,505,908,496,
960,707,173,682,185,442,532,181,995,134,867,602,649,250,552,627,235,123,437,
108,669,766,870,880,893,813,191,581,245,470,203,913,404,082,589,200,516,572,
591,335,908,894,765,360,283,737,409,240,165,788,884,323,689,578,437,528,954,
705,132,956,186,548,412,006,944,297,086,300,453,417,877,282,001,417,832,448,
324,322,323,785,625,701,413,877,728,280,400,252,313,513,777,466,935,071,053,
981,183,759,202,746,005,447,277,168,791,565,971,347,092,511,585,070,556,414,
603,170,020,363,958,515,106,921,457,931,566,429,632,174,624,877,619,878,486,
113,903,284,066,953,430,752,718,361,344,078,751,279,549,135,535,574,963,517,
014,116,239,907,377,851,251,841,955,161,727,965,406,342,051,782,085,800,867,
625,458,693,621,595,724,092,276,296,161,010,780,617,315,926,259,772,742,456,
760,124,618,180,135,493,346,094,511,699,532,582,958,658,546,735,944,802,301,
831,875,392,855,284,330,403,829,089,456,231,627,532,326,596,470,526,180,500,
002,684,312,215,749,561,567,260,065,878,533,783,290,743,398,937,051,652,940,
438,678,003,818,305,254,157,275,426,115,347,390,010,830,879,222,176,650,026,
573,103,184,453,452,208,606,860,072,265,036,774,303,190,405,931,009,456,052,
694,758,313,992,459,501,069,021,141,228,354,764,792,130,934,268,215,021,782,
215,569,170,164,419,801,613,072,051,120,698,014,738,435,968,755,999,797,491,
309,537,676,460,607,010,632,202,312,965,767,335,585,087,633,838,130,558,728,
324,016,542,668,548,266,810,062,688,949,379,863,124,870,621,900,971,427,949,
935,857,444,397,896,900,567,471,613,060,470,525,794,730,369,050,627,600,632,
080,936,100,680,770,209,669,531,188,908,310,056,900,503,584,539,043,404,670,
741,489,055,543,134,808,310,275,730,212,212,710,185,125,047,012,330,430,661,
890,523,336,250,995,003,380,902,780,138,915,070,600,797,027,237,325,409,623,
517,303,702,467,700,588,242,596,887,974,184,821,341,711,994,143,962,424,385,
023,018,419,663,103,597,574,306,335,040,258,974,886,173,471,408,133,451,133,
483,363,890,508,372,469,194,806,736,453,695,627,543,999,813,135,649,404,299,
470,481,979,157,635,011,995,193,813,924,542,863,762,289,980,720,683,178,398,
123,611,452,059,825,786,070,635,068,771,156,096,482,290,523,475,614,887,733,
546,855,464,527,628,187,370,174,802,495,006,220,941,069,142,528,254,699,112,
494,486,673,551,925,452,973,346,324,004,066,230,702,680,462,351,697,486,751,
451,543,623,318,269,204,885,306,889,393,350,810,772,474,808,578,073,992,555,
373,303,453,702,811,981,597,838,966,882,423,818,202,927,240,367,834,667,506,
841,502,761,570,562,859,875,677,870,555,687,580,885,499,894,120,990,207,493,
068,549,875,326,966,459,201,149,414,674,068,298,033,825,959,761,462,327,904,
435,270,983,429,564,213,141,306,944,805,408,389,931,171,363,058,647,304,325,
283,719,613,938,012,201,755,719,760,096,941,171,628,481,000,300,899,521,032,
722,125,469,564,114,557,453,800,863,255,789,175,082,971,986,849,610,832,829,
340,276,936,209,708,637,043,634,589,304,363,751,369,263,404,221,545,746,339,
745,403,201,981,322,280,630,900,028,298,452,592,403,756,037,487,083,368,985,
948,959,882,541,865,181,181,320,923,236,815,352,729,515,861,291,143,631,630,
928,291,456,287,085,532,035,421,934,494,463,703,194,959,379,355,121,826,342,
208,197,806,893,522,363,225,856,808,319,396,853,394,137,518,548,963,017,027,
660,135,283,183,676,605,636,030,103,174,195,117,176,164,744,002,247,073,165,
446,912,490,161,398,550,105,835,187,003,683,404,361,815,587,341,223,631,720,
265,424,180,303,594,911,980,259,943,687,051,220,218,138,264,600,483,630,239,
655,450,256,583,094,949,008,963,624,315,917,914,263,709,620,199,493,309,516,
534,498,853,141,163,014,029,829,052,153,002,151,802,719,340,644,610,061,880,
901,921,500,315,143,040,120,981,837,566,431,310,564,114,987,070,353,554,660,
992,860,061,395,074,883,799,344,306,659,651,473,075,268,478,932,962,648,248,
237,574,343,884,077,965,693,679,294,700,457,556,843,344,273,655,905,601,832,
473,734,216,269,993,141,530,424,810,156,392,491,265,040,934,402,745,442,319,
089,036,253,866,496,761,604,583,907,003,364,077,473,835,123,868,386,766,566,
565,527,000,789,750,680,603,109,139,457,857,695,849,482,860,130,411,740,382,
410,416,611,520,640,480,200,369,746,364,819,248,903,932,092,881,674,118,388,
074,414,953,759,929,148,098,131,936,679,522,417,511,073,256,700,420,579,014,
018,258,953,862,138,989,810,622,752,150,734,969,586,421,888,482,671,830,266,
238,141,812,797,415,294,265,373,764,862,799,518,872,483,708,109,943,303,556,
088,320,848,861,009,508,465,997,689,656,940,969,417,729,491,898,294,007,813,
424,434,805,836,959,837,987,592,485,156,891,973,510,419,241,093,189,909,779,
720,717,987,389,787,122,461,422,531,846,470,538,205,040,410,878,951,248,543,
435,237,027,374,040,934,149,570,139,644,182,478,491,874,190,922,464,034,103,
992,419,484,736,978,072,059,990,030,243,529,045,015,981,385,149,154,192,863,
683,314,352,612,889,854,046,518,913,009,822,904,407,464,228,790,392,895,801,
347,920,785,441,097,875,706,538,288,003,154,397,031,261,137,886,216,690,845,
416,815,959,637,959,029,655,096,828,252,408,739,538,792,900,979,398,908,179,
991,850,569,411,384,426,626,191,504,000,239,812,542,278,724,902,718,046,880,
722,268,431,129,661,970,632,603,215,764,973,825,269,185,523,036,382,291,484,
749,724,505,307,520,408,215,546,688,337,112,909,499,390,578,541,499,339,455,
181,932,160,748,779,576,672,428,042,869,417,900,535,638,762,081,385,120,308,
594,967,302,438,124,071,042,778,715,030,893,521,700,297,464,308,343,317,008,
120,734,036,889,971,715,766,017,069,980,624,159,497,554,087,731,142,554,173,
983,130,794,401,576,243,308,195,600,615,449,353,729,286,934,189,510,283,282,
699,594,499,268,839,588,340,257,419,850,028,807,634,490,436,314,584,465,067,
712,806,076,291,926,020,180,783,623,978,860,289,823,874,094,422,836,360,978,
250,048,736,074,701,351,505,292,371,339,402,783,766,425,337,838,397,927,394,
599,787,086,600,105,150,711,394,847,621,483,219,113,142,530,998,957,677,686,
584,825,576,733,811,487,939,319,531,401,906,042,869,866,998,534,937,956,043,
183,593,916,771,930,341,137,296,995,870,911,431,067,581,793,045,478,951,018,
145,865,847,581,427,075,481,737,468,867,056,324,428,483,863,544,306,373,010,
766,105,899,236,245,056,945,027,236,453,791,337,133,135,731,636,704,870,411,
112,126,804,398,206,622,248,586,670,933,716,898,554,803,005,676,019,408,226,
734,170,390,868,074,105,349,011,941,343,141,840,744,005,780,020,813,589,022,
869,095,697,367,252,516,009,064,818,738,596,258,179,737,392,734,532,391,022,
810,866,853,421,526,350,538,564,451,856,585,584,205,047,130,795,924,123,164,
320,122,240,015,053,742,645,107,702,341,862,909,093,359,261,909,228,073,050,
366,418,605,193,603,357,292,581,178,904,940,442,549,248,107,330,053,168,174,
967,766,123,870,072,376,835,646,480,109,844,443,816,295,253,605,544,660,223,
294,269,583,929,205,587,609,687,412,945,151,405,833,886,343,061,004,680,621,
831,266,868,716,451,924,804,923,498,032,776,174,286,715,401,993,384,174,712,
024,317,588,754,676,904,479,302,492,791,767,076,268,120,019,844,159,520,713,
495,982,551,563,398,637,938,430,413,678,759,945,331,103,390,484,549,352,973,
346,027,378,711,392,816,759,780,007,458,903,928,286,307,727,614,479,422,729,
403,448,780,725,635,619,666,683,733,325,577,264,557,958,720,929,119,719,370,
029,155,956,753,908,326,244,754,920,063,980,612,840,772,685,757,841,597,176,
401,943,750,664,172,845,865,705,433,228,861,920,712,898,270,379,083,210,298,
096,942,912,868,912,561,797,784,343,222,336,819,712,252,976,586,482,708,242,
880,264,507,813,722,382,583,087,387,949,245,024,357,265,900,690,923,825,572,
992,041,639,237,377,794,273,102,095,118,913,210,106,464,195,063,393,166,689,
758,569,697,009,495,316,049,055,498,271,064,056,919,616,750,576,801,992,110,
061,714,621,761,899,538,008,355,341,803,197,006,501,849,193,920,146,083,742,
466,193,007,131,748,460,703,268,521,930,015,264,552,507,633,690,056,907,867,
729,852,842,039,723,080,786,087,820,574,328,958,296,622,997,420,075,200,472,
568,087,868,546,577,499,534,584,232,968,968,501,037,269,056,693,782,539,360,
615,597,839,262,555,668,064,479,708,248,090,544,941,805,102,619,728,960,559,
520,156,872,501,187,837,151,683,134,450,244,038,922,888,449,585,257,051,320,
259,992,273,095,594,767,919,884,759,676,711,636,377,186,267,306,239,223,024,
013,456,249,593,260,313,657,856,966,619,538,329,228,089,124,070,902,881,707,
875,944,520,750,247,440,921,464,826,564,690,605,161,498,178,145,844,542,995,
771,950,260,279,660,075,546,664,375,125,378,072,376,912,438,173,501,729,398,
413,530,682,109,181,674,968,334,343,989,910,936,844,900,528,481,290,216,701,
851,280,822,100,656,524,337,399,800,868,291,882,540,169,161,378,095,801,786,
684,458,127,327,828,409,505,413,480,938,436,821,804,583,533,749,941,325,751,
463,453,962,197,263,971,645,543,702,785,728,941,802,339,063,802,462,637,800,
307,970,556,027,237,646,473,011,197,400,379,965,343,945,132,490,570,909,246,
404,685,719,887,900,836,114,255,163,216,985,495,030,726,174,994,403,820,941,
704,341,566,545,633,890,691,933,251,468,753,510,727,250,547,778,953,583,048,
135,980,759,729,638,453,002,538,236,105,648,627,255,652,325,363,433,654,282,
962,939,386,533,905,103,392,549,070,911,929,267,059,384,502,163,741,756,830,
408,946,916,036,654,401,160,123,161,146,529,642,183,103,379,994,394,855,742,
528,815,799,680,212,609,741,713,517,361,600,898,268,189,885,923,050,700,400,
120,445,513,186,651,867,929,329,283,451,854,310,417,730,626,233,880,205,812,
980,992,332,346,073,359,654,838,994,847,620,330,017,910,788,558,099,986,361,
186,492,074,992,731,419,870,750,648,990,607,289,597,871,798,403,669,854,647,
480,104,598,773,560,998,734,387,189,651,010,797,360,904,806,912,231,641,455,
829,698,574,313,001,924,699,484,256,033,156,209,983,477,623,469,771,494,301,
483,752,959,188,937,881,347,989,811,344,267,710,699,863,155,541,734,180,057,
804,241,567,402,668,445,239,731,650,323,604,652,019,632,580,885,333,524,341,
898,793,814,825,771,856,598,402,834,888,126,090,232,397,645,293,687,027,432,
404,058,308,913,292,680,970,561,331,789,755,760,440,318,898,953,515,833,909,
281,908,960,282,826,160,469,979,401,806,344,382,070,780,329,773,841,520,929,
363,769,148,620,514,077,844,364,297,201,317,720,455,592,614,765,394,923,051,
843,528,167,052,809,631,311,804,514,937,157,939,923,482,945,700,134,313,374,
861,958,200,335,265,843,323,977,586,412,909,650,190,193,372,191,412,052,266,
513,750,924,070,172,462,670,837,134,810,889,841,076,350,274,770,465,178,091,
549,194,033,054,188,456,343,515,515,786,014,465,213,062,790,631,021,550,493,
984,866,215,210,672,991,818,253,627,772,700,532,582,305,883,358,288,554,327,
896,503,278,966,567,477,365,999,900,843,126,753,060,764,105,808,362,251,672,
245,525,483,544,182,339,210,899,186,417,768,313,836,565,972,980,141,709,845,
575,540,634,354,231,200,480,332,242,396,993,737,265,558,989,279,233,151,126,
613,040,027,791,663,285,430,198,948,252,424,638,253,741,172,989,319,257,597,
963,370,502,091,278,196,681,062,177,415,051,768,068,994,903,986,696,900,773,
517,298,840,745,278,936,467,187,155,061,182,240,208,593,224,210,969,326,147,
888,631,354,832,535,930,448,214,161,844,501,749,457,144,517,190,448,229,736,
603,392,766,527,660,016,402,458,750,059,423,349,070,744,091,266,704,627,082,
474,261,688,902,506,532,077,018,369,690,979,677,408,233,106,965,305,549,723,
298,786,066,936,978,558,666,019,770,265,118,294,032,290,583,306,460,509,754,
675,493,414,876,799,981,945,678,932,339,830,230,584,347,610,187,145,364,721,
748,628,563,652,562,558,124,251,292,624,943,644,670,877,879,266,919,278,865,
244,833,618,981,665,221,803,525,621,408,773,538,027,328,737,067,179,082,532,
311,792,766,329,962,433,485,680,620,682,647,129,352,345,383,361,702,460,058,
681,662,737,057,997,936,899,129,001,701,392,011,200,135,809,437,826,106,652,
866,759,950,095,118,599,830,125,441,715,671,169,924,932,443,345,324,441,894,
725,130,985,145,740,088,957,051,223,893,630,841,169,335,609,762,568,817,536,
716,659,749,788,309,352,064,900,617,706,093,713,750,634,367,005,674,467,004,
668,277,128,192,724,871,186,662,965,030,273,920,862,025,270,217,779,454,542,
690,544,284,116,498,624,193,043,435,700,824,069,329,540,014,064,400,435,411,
418,773,658,859,701,687,408,961,424,337,447,576,041,450,123,075,486,567,805,
108,878,536,079,109,688,804,504,131,510,033,335,395,427,425,044,598,830,919,
390,611,458,086,156,491,201,799,272,976,456,355,824,259,061,229,024,602,267,
128,487,013,673,258,423,455,286,508,178,177,510,760,678,032,177,735,020,962,
412,776,554,291,990,634,336,193,624,225,068,417,377,193,549,823,003,503,458,
433,685,005,986,024,817,789,327,677,251,618,734,223,633,178,730,276,344,477,
385,174,777,290,469,665,968,491,957,893,759,999,241,960,014,516,640,611,965,
730,532,874,766,345,832,653,994,607,940,352,056,157,646,453,782,038,463,409,
370,907,776,481,997,316,309,789,980,150,103,218,246,723,813,539,254,721,793,
123,642,009,042,063,192,483,427,029,793,254,068,044,595,575,052,806,031,809,
677,322,694,299,632,824,461,133,583,077,029,489,479,175,112,145,185,679,366,
260,349,962,984,927,950,911,495,756,931,330,735,975,361,379,629,968,217,631,
942,692,452,386,923,848,610,569,345,788,961,649,805,869,979,113,912,977,696,
500,766,382,155,777,219,619,441,603,268,812,412,879,230,192,317,643,744,098,
957,433,749,067,685,358,280,254,711,386,114,709,229,522,346,475,328,766,083,
622,928,404,427,858,629,393,891,705,979,741,246,925,838,031,962,984,916,434,
299,674,776,627,386,524,847,073,906,344,430,170,521,178,709,538,618,580,463,
125,258,816,602,251,703,938,575,447,311,359,912,261,179,215,598,292,547,832,
343,225,374,070,248,134,712,000,489,599,665,834,140,278,739,277,821,290,975,
600,340,292,208,152,659,587,192,790,742,940,408,520,727,219,740,237,496,586,
914,442,331,997,171,959,981,869,391,774,672,582,907,365,424,696,357,797,241,
794,889,705,222,611,252,228,969,946,280,645,901,217,791,639,633,870,308,879,
949,253,356,561,974,782,738,013,862,247,002,043,809,185,697,978,884,645,683,
208,398,841,727,218,752,548,210,604,972,275,286,179,661,141,411,495,200,517,
142,888,093,913,106,167,627,935,784,655,452,497,366,828,359,668,980,536,960,
109,814,892,939,237,878,114,385,387,291,857,244,024,607,499,219,762,375,692,
504,420,910,720,665,715,179,247,290,818,992,065,111,683,334,428,971,922,168,
937,044,422,172,591,576,784,526,024,036,149,826,752,163,658,932,091,051,375,
352,810,112,915,089,672,812,843,742,584,412,560,632,955,570,535,871,955,644,
839,827,109,274,296,977,078,797,464,633,157,100,457,135,482,659,794,127,260,
448,390,389,019,621,663,604,041,263,903,650,524,076,471,632,706,438,122,922,
147,191,528,500,206,255,718,511,468,199,341,214,340,020,942,943,026,462,838,
688,507,590,884,646,162,607,923,519,953,393,188,853,824,614,065,366,108,817,
561,036,936,436,139,931,965,211,526,016,572,405,745,564,403,400,793,571,640,
857,542,525,433,178,066,049,908,189,810,520,742,889,178,803,590,462,490,117,
568,934,784,306,066,544,371,214,209,891,305,055,285,837,230,695,640,983,297,
962,494,235,193,736,235,818,506,058,867,390,691,258,891,969,510,595,731,912,
376,683,007,207,092,256,163,158,040,698,382,082,286,980,701,980,958,763,352,
387,917,081,330,098,163,922,335,954,522,092,904,008,605,642,936,794,475,988,
428,190,811,244,100,469,035,797,630,566,818,264,728,994,572,115,107,607,113,
285,456,014,175,780,172,934,847,043,794,146,383,405,559,393,115,945,835,451,
811,467,284,805,345,014,126,253,176,686,089,731,075,165,268,139,253,011,683,
624,648,049,566,670,279,154,872,866,023,338,413,825,822,701,260,346,336,531,
913,591,162,712,940,770,117,501,800,215,497,713,888,087,916,630,404,170,749,
780,128,747,429,262,441,367,155,619,831,540,853,929,404,537,457,019,608,347,
515,927,092,918,062,633,168,291,279,043,857,022,782,460,685,173,441,023,493,
794,283,018,706,585,262,293,366,572,864,860,221,896,564,611,705,570,410,646,
147,975,580,732,541,609,064,240,492,469,511,379,649,737,289,554,534,208,956,
145,505,578,492,696,935,787,479,081,135,574,474,126,703,104,189,317,089,348,
840,169,938,961,839,008,898,456,182,312,782,629,710,068,860,900,844,358,349,
117,525,955,230,278,361,833,593,223,216,525,333,494,846,031,116,117,651,588,
722,948,949,290,061,953,871,897,324,132,223,730,484,051,307,598,071,258,493,
987,721,529,414,355,902,406,259,270,753,050,055,087,574,042,180,083,341,272,
118,401,943,153,500,298,716,205,063,470,674,556,358,000,246,784,769,134,223,
716,109,341,612,580,926,469,904,967,142,093,433,481,528,371,133,981,194,340,
491,241,060,467,280,134,680,915,255,930,152,138,350,127,338,024,500,321,336,
627,594,437,462,590,059,809,053,065,896,604,224,552,738,164,693,272,902,343,
090,801,115,951,758,643,791,675,048,337,225,059,107,103,335,295,655,234,037,
414,194,684,147,936,171,998,974,987,723,901,029,224,838,000,273,096,333,027,
438,078,681,801,915,118,448,068,856,983,550,266,696,378,890,624,868,636,537,
105,341,588,986,447,430,815,101,793,963,320,985,268,172,547,812,841,798,281,
879,792,437,525,159,588,726,066,963,316,747,105,918,434,900,761,896,412,866,
866,549,624,777,559,288,342,397,091,782,122,835,450,764,128,499,066,021,114,
661,066,330,366,297,540,570,665,592,520,251,240,902,395,370,233,027,748,988,
217,406,473,535,203,543,782,181,938,558,695,250,682,143,426,771,172,901,381,
520,721,256,307,304,885,834,154,511,876,758,668,213,763,957,673,107,684,451,
470,176,456,697,792,481,011,835,792,903,726,730,614,814,517,336,630,564,603,
423,091,653,924,521,588,390,695,634,237,576,763,673,976,746,142,883,007,490,
568,567,767,261,128,332,078,194,770,395,750,645,666,982,471,751,477,601,330,
566,797,288,319,440,018,379,425,704,066,389,431,691,656,444,420,912,282,400,
623,425,286,885,431,535,928,560,833,987,303,436,941,442,889,113,891,824,001,
507,000,464,448,231,061,034,842,867,623,952,114,756,174,336,436,073,107,693,
364,671,590,160,773,099,328,558,444,350,365,270,119,370,864,334,763,138,302,
270,348,369,958,568,216,679,363,053,112,336,785,692,597,568,124,006,097,536,
312,394,568,867,062,572,370,496,441,781,423,309,935,968,784,909,576,025,901,
660,125,420,198,618,918,951,151,808,355,861,268,972,432,951,186,580,939,463,
029,445,333,685,604,860,839,014,092,358,829,241,652,013,297,959,263,384,061,
116,308,515,416,072,396,908,781,654,733,770,945,033,161,188,383,629,884,390,
109,949,090,938,165,462,860,193,149,980,090,383,732,060,758,150,582,785,904,
526,009,068,021,219,518,175,548,108,754,402,074,706,344,228,230,138,197,602,
637,083,085,483,990,244,727,551,702,812,395,174,720,656,724,377,344,537,420,
147,412,181,903,812,749,705,207,781,801,401,573,835,431,938,810,684,043,067,
878,133,652,783,855,976,846,325,736,118,216,971,150,139,706,280,086,814,865,
373,523,585,455,560,807,878,471,061,421,705,490,744,964,375,237,700,345,278,
387,496,190,150,116,428,666,036,925,652,197,899,562,834,582,090,361,784,411,
357,815,135,043,432,156,942,211,394,293,171,592,109,231,857,399,024,862,715,
879,020,941,047,988,963,757,091,142,717,824,290,556,438,887,131,818,915,781,
366,914,626,323,521,042,778,377,953,976,137,857,688,933,105,882,334,202,030,
988,430,522,895,272,805,692,991,865,228,932,270,137,208,602,535,956,661,140,
130,321,555,235,251,022,301,387,772,223,996,742,690,954,661,598,657,087,949,
249,366,422,433,109,511,746,362,659,065,060,724,751,385,817,535,640,076,443,
579,996,986,953,578,342,395,404,712,107,735,262,643,096,349,489,686,959,994,
289,692,429,802,788,114,520,700,828,049,487,844,953,081,861,692,589,321,642,
997,888,413,480,386,922,584,617,956,112,030,560,595,608,379,958,359,442,101,
153,895,250,602,953,770,173,600,955,940,612,448,459,799,573,447,635,000,855,
740,831,946,770,083,833,954,735,797,300,543,368,738,255,970,636,902,537,823,
906,341,297,968,330,319,803,933,717,106,946,245,405,189,724,902,582,614,230,
227,307,987,358,811,534,021,284,289,135,766,237,499,407,480,475,681,848,862,
335,899,022,036,704,764,293,460,362,693,052,226,853,029,426,722,031,707,284,
885,330,269,419,096,868,897,765,559,387,125,308,562,406,018,108,626,090,044,
432,671,739,218,013,315,682,963,618,749,648,089,568,442,087,965,614,397,826,
907,716,669,616,136,229,499,899,094,130,916,489,482,752,047,761,402,900,898,
279,083,273,825,104,049,280,524,792,767,895,592,272,461,567,115,079,453,571,
159,294,918,330,994,006,557,008,367,130,250,453,574,617,756,856,157,307,502,
803,051,436,709,933,171,537,648,829,717,545,670,458,940,668,939,712,855,015,
368,820,231,911,026,031,410,962,485,706,147,148,865,247,530,261,650,031,942,
472,865,582,986,552,935,786,030,381,986,475,828,072,948,209,173,204,035,826,
128,873,680,910,614,648,604,166,067,973,614,067,178,022,292,494,728,901,637,
318,316,287,737,532,926,986,505,081,958,057,506,957,961,880,569,599,358,727,
097,478,258,867,733,931,946,554,707,329,904,199,051,691,933,161,712,686,175,
195,622,159,275,079,565,531,304,956,347,603,923,007,245,876,500,896,180,895,
100,416,802,556,636,766,695,548,429,267,611,735,166,993,814,813,197,791,609,
578,819,417,219,634,940,146,240,123,401,312,487,335,784,388,324,762,516,220,
237,972,892,912,930,079,513,187,043,787,238,002,463,520,786,450,522,341,740,
579,738,382,950,540,539,102,056,144,291,333,992,196,414,874,518,523,345,232,
555,366,039,438,845,053,189,826,811,523,878,553,060,383,566,108,717,796,798,
863,397,107,785,719,821,640,724,750,922,800,242,944,304,369,549,407,850,988,
708,011,642,372,266,159,529,017,301,908,912,473,014,628,932,911,609,320,456,
117,523,967,227,953,439,115,419,817,145,261,341,236,945,874,874,520,712,833,
937,221,151,606,341,031,592,435,067,456,021,401,480,243,338,112,395,515,915,
083,909,012,027,146,962,000,532,497,650,351,593,121,772,256,986,656,621,658,
088,721,017,689,869,107,058,973,155,167,827,189,049,534,991,134,167,341,808,
579,790,667,965,438,392,907,450,140,227,862,514,804,127,679,027,019,161,303,
047,646,399,029,087,836,582,349,736,193,338,280,464,538,758,834,930,076,979,
304,337,558,942,075,868,818,127,464,869,554,617,145,152,874,893,216,099,219,
732,989,129,161,171,391,263,660,547,267,338,118,764,517,937,698,751,651,881,
446,639,605,370,095,778,827,569,294,013,981,940,848,476,610,989,687,060,089,
725,932,467,401,731,326,576,043,265,833,904,226,086,270,487,105,645,130,678,
258,716,040,948,796,168,507,800,007,193,595,346,107,238,186,783,354,859,530,
845,935,045,544,139,924,707,929,362,388,940,342,250,458,007,583,558,712,996,
258,635,760,049,297,989,461,285,766,095,855,312,970,793,649,313,506,224,147,
600,539,612,947,620,673,037,185,670,562,728,736,591,414,080,682,083,440,517,
995,903,717,394,553,021,503,800,175,857,818,021,545,904,493,689,827,694,059,
466,582,524,070,730,320,359,520,521,588,485,200,528,624,945,360,174,635,504,
367,264,288,743,005,370,946,505,402,608,295,228,957,637,708,253,232,562,747,
193,775,882,822,749,047,807,548,345,868,512,045,621,939,758,775,769,382,250,
629,822,602,998,663,614,714,323,260,412,600,077,313,779,083,660,632,605,608,
383,115,876,313,661,733,998,312,403,354,859,602,415,638,518,847,822,273,973,
316,482,385,947,252,883,277,889,425,750,686,526,227,080,513,306,383,163,609,
295,204,704,330,970,858,233,303,828,523,731,475,178,532,042,026,164,033,076,
088,585,050,727,712,927,413,357,956,349,832,038,663,957,733,468,719,192,164,
905,913,853,407,395,798,857,821,463,035,832,901,011,125,889,538,112,223,944,
821,642,968,132,879,281,656,971,857,156,804,530,198,910,324,585,935,514,778,
914,259,242,150,790,611,125,584,438,711,981,403,250,880,299,125,904,029,099,
270,887,635,575,679,767,236,163,841,464,550,850,940,481,178,542,735,364,145,
975,735,759,297,156,600,329,080,551,106,134,373,039,654,005,641,011,885,232,
755,631,371,755,189,260,873,022,970,580,381,773,466,100,510,007,941,636,922,
352,367,655,146,964,313,049,467,826,050,511,223,431,869,591,226,492,547,367,
212,890,660,424,271,598,431,149,865,382,265,857,888,528,568,915,329,208,420,
818,363,774,894,431,196,370,700,691,285,446,547,331,035,219,487,876,815,546,
303,692,700,375,647,546,176,505,635,007,316,359,676,784,778,264,894,431,503,
264,573,167,074,418,219,776,233,478,273,480,065,943,769,590,014,719,300,039,
910,357,892,210,269,948,327,151,137,452,467,303,819,550,281,767,573,671,536,
805,337,420,495,021,976,271,455,044,917,274,031,670,718,580,632,079,589,228,
547,746,690,114,884,422,110,921,554,264,283,062,587,926,100,398,162,005,980,
090,844,951,627,318,676,993,557,690,711,746,887,364,774,517,136,389,581,699,
518,084,396,823,236,485,692,319,472,653,089,893,898,028,355,639,842,859,718,
931,301,173,784,254,121,344,124,606,976,075,440,731,691,444,394,072,171,830,
710,906,871,519,053,741,357,322,234,492,533,502,145,492,761,607,827,757,315,
330,121,691,847,662,459,336,859,142,900,112,295,216,959,750,303,701,488,473,
681,112,352,695,675,028,685,774,669,194,844,235,428,259,027,656,071,524,028,
555,473,726,667,943,981,239,959,361,873,179,454,128,022,057,558,323,928,785,
892,716,646,109,488,144,250,589,201,454,399,680,119,582,561,438,859,110,575,
720,840,562,656,859,980,796,633,545,032,628,962,432,634,436,794,917,602,297,
462,948,387,973,121,405,713,373,164,490,933,997,385,400,683,359,807,930,434,
302,065,841,176,968,460,300,186,947,978,073,319,987,138,618,314,037,554,049,
925,579,361,679,978,915,781,849,589,934,622,697,024,087,463,613,419,018,504,
804,903,988,984,256,970,553,257,388,940,607,384,070,535,426,785,406,642,016,
184,345,006,058,670,749,189,121,764,313,094,490,072,984,241,310,507,994,096,
929,015,285,720,044,650,797,417,764,202,536,646,767,433,773,284,850,407,855,
661,300,066,319,005,022,584,369,745,305,202,609,396,556,273,110,443,075,078,
361,587,305,173,448,469,729,643,269,617,120,949,190,065,472,803,951,128,202,
488,746,048,560,402,018,828,033,420,363,190,431,662,426,892,223,347,237,454,
474,101,581,350,600,647,583,892,678,025,854,852,656,898,148,737,729,110,143,
950,309,766,685,257,175,970,356,832,170,716,514,172,830,793,773,227,788,045,
673,320,819,961,770,215,515,479,963,420,987,354,077,803,846,727,887,160,899,
777,364,214,419,401,602,870,836,792,324,680,926,599,993,223,715,600,419,839,
318,793,529,593,448,324,619,520,346,669,408,906,820,307,340,193,904,049,384,
036,134,396,568,546,235,687,412,613,364,206,114,674,669,242,584,024,732,416,
812,333,217,233,874,907,937,286,293,994,434,031,072,035,990,146,568,115,041,
095,557,361,583,942,744,836,286,397,138,867,713,441,674,275,429,997,203,336,
147,548,633,167,323,976,823,714,565,828,131,179,827,954,106,141,133,222,744,
150,484,339,350,550,191,515,655,024,838,613,396,949,339,337,643,241,446,634,
856,047,875,636,110,592,754,529,959,762,525,636,256,056,874,525,143,899,232,
568,466,746,154,992,498,171,548,883,875,121,802,713,055,467,468,432,739,213,
415,883,289,563,212,251,535,945,774,836,277,964,609,000,336,330,153,731,543,
495,682,281,850,046,808,734,418,014,721,936,423,354,762,428,952,852,164,430,
449,910,977,057,213,598,459,829,356,828,098,618,931,541,685,354,708,726,466,
702,638,200,362,706,344,674,985,019,856,599,639,968,656,842,615,469,446,109,
036,922,755,801,843,031,457,878,839,696,830,472,259,347,431,448,794,296,180,
391,258,818,247,720,663,819,830,624,734,907,974,442,731,146,906,279,014,298,
099,056,159,472,360,732,743,373,200,524,897,947,146,117,115,099,406,131,373,
855,177,549,995,412,839,640,155,629,121,816,087,948,987,929,620,600,040,340,
183,269,909,474,846,525,641,279,520,176,925,898,924,439,339,039,885,410,572,
943,340,806,146,717,487,646,596,696,217,153,482,260,728,887,902,681,788,595,
160,225,034,181,829,187,083,363,588,696,180,118,489,816,518,618,382,137,986,
598,021,297,636,635,621,680,340,921,894,966,209,240,822,228,182,174,749,493,
157,682,533,583,374,520,341,899,775,122,471,264,273,742,597,705,010,593,379,
346,568,287,166,300,554,369,705,739,811,736,784,228,931,544,881,629,739,880,
604,765,556,807,130,439,584,383,269,136,927,100,567,440,778,503,007,757,661,
376,750,170,071,176,634,092,500,782,914,312,630,398,932,862,276,549,455,932,
898,501,876,059,583,159,131,187,138,163,705,220,023,285,067,229,793,422,434,
002,126,673,032,177,162,623,688,248,469,197,107,693,014,703,521,781,297,854,
291,698,255,366,622,246,063,168,907,774,167,938,879,705,838,776,737,976,643,
432,936,109,934,740,750,195,499,123,569,243,044,827,234,778,857,930,901,146,
115,858,610,468,114,440,322,234,837,128,013,087,542,575,059,576,804,006,854,
901,769,067,254,759,610,038,001,226,531,534,196,391,543,481,358,145,441,382,
571,803,420,164,307,331,140,381,148,858,457,391,660,457,347,062,970,221,719,
872,024,264,842,597,863,048,505,870,348,326,405,801,445,498,647,366,936,427,
840,805,808,624,574,827,495,143,220,118,589,759,695,353,595,985,131,175,482,
704,593,214,482,684,961,560,140,961,802,108,153,179,579,432,313,548,139,705,
512,834,785,052,266,396,771,190,544,282,512,046,717,161,808,485,708,201,613,
983,367,874,694,318,560,352,637,941,619,032,342,724,040,634,818,324,121,852,
954,995,719,922,210,972,956,332,442,258,075,663,452,533,936,754,547,341,473,
337,547,697,453,352,035,333,069,729,177,141,730,473,397,107,423,239,855,384,
200,154,233,206,533,478,455,843,614,780,141,274,065,833,933,027,053,734,342,
660,104,614,703,607,057,894,591,517,777,932,863,581,289,629,345,045,152,450,
566,314,564,294,794,430,014,311,130,609,455,710,495,054,066,301,430,912,672,
146,473,229,058,650,638,155,485,440,466,655,956,986,967,583,160,833,997,823,
345,888,417,307,192,551,675,623,200,834,189,093,052,202,194,322,044,024,361,
896,566,298,593,381,156,152,725,312,365,361,164,886,915,577,267,056,866,934,
103,928,340,285,799,423,075,113,428,130,298,409,525,440,994,115,332,525,941,
040,645,388,468,136,524,787,063,649,637,201,583,122,349,124,073,325,534,641,
412,946,760,864,202,718,042,541,708,441,514,099,896,799,313,511,115,614,805,
240,868,106,041,948,085,722,056,348,734,663,951,945,873,253,640,541,220,380,
403,230,182,263,468,518,528,596,188,723,112,472,680,304,060,777,685,709,358,
648,100,363,131,790,967,404,519,612,728,634,097,143,768,324,409,928,085,496,
286,501,862,428,427,997,802,628,578,823,576,678,038,102,599,228,958,949,427,
589,126,089,454,795,323,590,359,959,677,124,356,984,392,698,612,152,708,630,
715,856,488,826,734,886,398,069,892,146,027,796,801,724,002,753,540,707,158,
196,624,831,405,475,128,881,077,422,403,052,926,451,405,966,554,007,603,402,
028,511,119,829,504,513,314,747,071,030,831,407,951,978,747,155,876,440,712,
369,724,257,827,470,935,355,220,762,787,828,320,797,058,185,491,282,058,404,
916,783,583,195,201,222,760,124,997,104,193,419,106,900,311,087,309,486,902,
261,917,885,118,348,252,451,890,319,580,617,091,883,251,348,048,029,280,673,
293,915,376,933,505,821,013,034,130,388,326,695,952,111,241,432,163,443,845,
123,839,412,619,306,920,546,276,775,140,395,266,368,994,292,801,910,036,029,
213,468,714,066,533,484,492,108,941,520,728,640,096,074,999,931,499,336,051,
259,381,528,490,629,789,371,864,783,070,326,127,257,310,310,617,166,776,328,
908,227,578,680,069,170,578,231,919,927,869,109,745,531,476,119,154,509,807,
915,109,256,930,902,725,645,077,424,701,323,819,745,273,136,860,127,900,226,
580,393,122,692,681,063,662,795,326,231,597,848,257,570,930,808,419,866,830,
547,144,281,126,690,898,330,714,158,689,473,133,582,735,942,199,170,717,628,
321,006,657,856,867,450,027,383,205,701,624,695,117,231,607,686,202,806,965,
206,209,926,900,036,544,941,478,284,603,010,412,431,283,688,871,398,492,080,
552,774,367,075,127,938,720,700,721,575,751,323,338,511,116,144,204,695,832,
278,169,390,801,048,142,140,635,151,861,694,094,174,736,452,313,780,140,060,
642,240,871,239,017,337,436,158,545,691,251,267,632,718,766,287,029,369,474,
774,058,208,021,789,649,132,763,464,929,312,621,373,991,005,050,752,515,815,
584,281,418,430,821,711,482,388,207,766,439,890,831,360,852,525,221,168,044,
751,111,666,110,400,381,759,106,531,614,188,896,283,078,148,710,183,687,853,
269,655,776,644,357,448,737,183,246,270,328,412,786,398,404,472,927,866,131,
502,807,959,524,094,443,492,690,499,999,387,252,746,648,748,716,534,897,569,
709,948,795,057,619,630,319,820,097,820,569,537,572,316,389,618,683,081,944,
395,520,365,291,895,553,349,644,175,318,393,136,077,969,634,495,383,897,688,
804,994,911,491,566,127,873,105,573,829,355,381,200,170,471,898,536,526,449,
176,144,399,820,248,672,503,713,707,430,674,602,544,348,971,285,429,342,897,
438,612,492,116,281,959,173,933,775,485,460,235,373,674,389,190,313,099,738,
780,725,948,914,747,898,165,640,039,607,209,443,514,085,387,493,150,339,545,
244,059,971,061,198,580,924,531,904,695,603,884,868,724,592,772,256,836,440,
310,306,919,112,005,352,640,660,870,104,790,175,312,209,439,087,454,165,243,
358,922,174,267,617,059,549,740,573,274,571,028,233,546,189,042,460,036,044,
538,863,313,610,150,835,155,690,855,207,226,264,646,641,635,951,782,309,739,
678,331,486,053,440,764,460,824,225,095,906,910,733,938,385,459,318,283,608,
536,176,568,345,207,378,994,799,077,014,680,877,286,197,325,566,635,187,398,
455,157,018,636,940,413,034,515,083,509,904,587,856,871,881,907,359,459,324,
259,040,446,025,420,078,942,258,729,113,937,199,974,693,984,287,435,400,644,
165,626,596,196,393,647,395,557,936,798,875,328,733,630,798,511,675,311,093,
194,758,719,540,483,923,874,837,823,796,645,298,118,004,684,845,417,562,537,
919,423,391,679,898,108,788,062,592,656,456,551,120,432,196,530,465,590,748,
612,075,309,707,952,097,526,782,438,759,013,156,136,849,241,310,673,958,210,
471,086,274,475,915,174,729,866,799,245,963,793,524,843,521,870,411,934,766,
968,393,075,273,130,569,165,914,438,401,347,617,397,321,409,449,088,330,811,
288,534,628,045,952,321,125,203,877,068,039,178,978,287,475,160,030,608,516,
894,731,734,346,202,230,012,225,403,703,172,224,512,020,946,630,292,609,987,
443,538,778,230,480,483,277,050,682,518,428,175,864,034,300,805,579,865,754,
362,308,430,931,683,305,997,383,160,409,389,669,914,084,876,882,984,710,924,
831,518,493,445,985,544,909,966,449,210,984,361,956,161,715,633,943,944,314,
121,080,917,155,750,171,375,106,905,034,133,597,941,299,165,101,287,341,440,
199,195,042,611,731,973,802,738,166,067,593,279,724,460,859,244,747,257,056,
568,331,642,721,936,483,481,440,235,884,969,533,082,915,275,570,311,873,181,
490,595,819,463,489,592,860,634,036,654,800,617,882,712,661,748,958,932,599,
472,201,897,183,284,582,967,976,874,530,829,130,891,599,510,277,282,288,818,
265,644,911,544,175,875,387,902,812,716,052,928,402,973,550,801,457,592,100,
636,705,226,025,658,909,213,104,661,474,272,399,730,403,048,110,215,958,356,
382,050,154,135,885,088,458,231,579,970,601,945,836,172,256,306,580,035,498,
866,592,639,490,268,213,182,320,723,143,930,046,585,225,216,495,343,293,834,
493,215,377,143,985,166,209,177,620,185,261,519,395,033,501,398,181,041,066,
770,118,477,064,612,348,549,376,837,720,982,012,442,292,060,680,557,124,833,
327,028,584,996,575,300,183,364,635,968,526,473,607,501,978,786,141,273,113,
399,295,630,244,184,534,415,369,563,476,036,884,732,735,746,924,485,099,451,
647,587,001,234,568,612,412,579,748,782,198,607,759,317,989,482,558,346,602,
408,678,235,435,736,368,007,678,070,399,220,469,943,822,195,500,483,140,029,
638,282,691,975,515,513,363,460,869,397,781,190,560,333,091,643,049,314,171,
431,162,734,312,182,286,717,482,731,535,432,179,941,507,048,278,406,497,131,
858,240,998,775,712,297,089,510,764,632,999,656,037,686,791,229,217,784,627,
934,362,226,611,524,774,842,235,627,190,050,556,835,323,678,562,752,208,800,
489,773,873,732,027,377,538,433,921,556,517,859,580,700,494,250,168,642,822,
601,668,165,558,978,385,622,048,328,513,383,006,773,592,208,305,181,374,827,
660,987,516,061,144,592,355,010,395,885,943,007,534,617,738,063,962,885,722,
651,735,426,572,020,725,983,778,545,401,718,535,234,917,152,866,788,124,933,
967,376,884,668,226,418,284,718,811,348,319,331,354,913,992,733,894,359,829,
991,491,357,534,294,627,701,311,387,492,655,976,353,930,155,722,204,297,014,
158,536,402,689,840,961,285,398,308,379,549,037,043,612,316,852,816,690,642,
889,197,551,087,105,247,225,967,279,472,416,455,184,815,575,116,956,288,878,
280,212,304,892,055,692,085,420,639,101,762,930,201,242,188,849,333,208,849,
694,284,310,651,000,461,330,462,060,365,715,273,792,255,165,424,870,508,623,
743,339,070,766,347,093,530,782,572,482,771,276,497,440,861,588,824,731,143,
588,288,140,497,230,709,870,602,907,935,309,506,315,254,999,372,501,865,395,
454,183,434,511,390,843,015,285,327,112,815,367,579,471,010,567,716,018,886,
887,699,056,342,304,707,686,421,887,548,089,550,783,326,412,869,158,202,655,
221,055,595,898,942,723,025,530,569,850,058,620,614,603,509,336,437,188,043,
748,403,533,541,044,517,718,818,146,961,871,228,259,650,655,299,192,948,892,
987,329,836,382,973,003,439,450,981,256,650,574,264,669,108,292,324,775,319,
100,799,778,876,570,807,579,350,469,302,296,492,925,344,623,131,845,635,227,
524,428,785,776,189,681,296,350,421,100,683,504,166,450,354,774,203,211,116,
293,107,182,068,149,661,888,968,331,672,826,408,154,966,319,162,370,638,114,
926,214,429,374,393,297,341,059,068,202,865,123,022,318,435,790,079,267,006,
136,968,826,200,092,653,022,211,388,873,217,520,920,741,728,812,691,411,664,
563,566,415,382,457,731,151,408,039,198,916,185,166,009,171,168,743,662,001,
032,316,859,051,024,774,931,771,911,962,851,035,344,259,756,041,884,018,182,
341,181,564,850,701,864,126,934,023,936,668,283,121,931,475,945,149,843,402,
512,409,342,819,137,996,943,293,128,399,650,812,812,186,715,209,079,834,131,
577,382,229,720,386,460,204,694,656,177,456,988,701,293,694,634,342,263,296,
484,186,493,575,471,308,269,703,229,683,259,107,372,182,474,875,553,374,862,
442,387,660,493,380,337,035,681,629,862,532,861,652,475,134,700,524,480,961,
206,728,126,589,568,126,667,393,848,870,292,021,321,602,258,044,505,882,839,
797,125,083,156,385,726,348,872,558,994,074,687,050,948,281,948,126,718,790,
080,372,636,308,018,578,508,839,917,222,367,016,857,573,067,537,439,466,155,
362,698,695,918,806,308,966,711,957,590,312,132,050,749,561,658,419,780,611,
072,731,571,344,118,630,146,058,243,503,420,291,670,568,890,036,229,891,735,
068,892,452,751,989,132,409,178,656,136,600,360,897,467,484,298,628,770,529,
673,471,564,137,987,441,068,292,841,635,329,103,857,249,938,349,474,946,426,
797,136,585,923,494,747,493,370,218,899,646,094,279,541,457,600,966,526,609,
954,030,618,454,532,169,175,461,049,808,577,064,775,227,032,979,822,360,261,
912,776,706,213,231,434,238,761,312,765,146,650,672,152,290,415,901,051,011,
823,219,941,181,784,451,925,261,715,340,036,341,458,249,540,603,019,064,342,
784,677,502,875,790,798,189,247,397,604,941,511,658,257,530,022,184,945,956,
032,972,361,366,466,196,136,012,229,314,012,910,042,751,530,553,491,943,970,
766,547,731,858,730,455,880,353,243,323,889,820,494,083,878,143,367,077,709,
475,346,851,719,015,120,917,512,385,875,569,561,604,011,276,219,117,240,138,
072,267,255,655,409,489,400,997,369,805,746,967,391,071,090,525,901,358,141,
365,376,476,496,122,818,824,256,645,261,831,658,652,813,061,550,093,164,958,
689,784,270,075,481,084,382,361,881,351,190,160,621,191,145,586,619,815,106,
307,013,487,531,401,142,830,592,096,055,565,264,015,366,087,620,282,817,023,
756,961,884,914,959,160,794,386,557,864,107,531,636,370,699,314,069,061,900,
111,880,807,397,021,965,958,184,687,341,361,562,442,846,939,215,973,610,129,
840,541,693,682,768,801,674,694,141,130,962,657,682,186,125,990,231,102,539,
106,252,723,001,091,955,428,147,823,240,955,532,707,237,278,072,445,545,374,
671,164,241,565,725,723,349,904,274,236,203,676,602,952,479,476,432,699,177,
018,210,569,329,692,604,826,192,476,885,748,740,534,485,466,624,952,488,049,
624,297,336,347,076,093,784,523,242,340,253,365,379,869,666,702,896,871,696,
475,085,722,003,262,626,970,791,048,171,898,603,809,239,368,173,655,998,772,
490,520,448,623,211,207,159,517,884,527,795,068,419,237,242,667,609,312,845,
413,250,101,108,491,100,900,435,524,476,554,849,369,488,940,806,434,842,468,
287,158,612,989,098,214,983,379,192,309,268,169,996,299,495,313,910,226,361,
267,263,658,767,222,893,847,096,427,679,166,474,784,221,569,845,177,023,687,
149,248,150,810,980,550,855,413,776,823,458,147,628,799,773,241,607,519,481,
672,858,872,720,580,590,014,922,881,871,107,492,005,493,227,202,235,049,000,
339,958,791,577,025,365,216,895,024,955,505,298,717,436,273,321,084,897,621,
768,103,755,239,023,326,285,314,296,600,806,484,166,871,656,916,678,709,111,
877,826,793,638,139,009,342,858,596,131,285,995,335,738,422,151,723,057,515,
853,873,911,889,186,445,800,285,747,667,353,597,393,804,513,607,123,152,627,
635,317,359,000,175,051,088,130,806,834,997,297,733,079,293,179,842,062,040,
248,560,216,628,601,952,717,163,365,441,046,947,098,457,596,017,047,255,268,
812,647,394,955,761,367,913,857,045,140,033,130,030,689,564,234,168,443,973,
663,828,711,280,885,187,235,750,776,634,835,779,450,530,272,224,151,443,816,
412,409,111,072,391,130,998,160,347,810,690,610,874,350,634,552,656,718,573,
129,970,908,184,159,955,450,234,388,496,386,827,696,861,986,863,856,341,805,
137,344,301,322,459,661,408,306,805,200,527,363,277,832,233,659,905,051,219,
876,840,379,533,769,656,564,331,073,217,118,991,027,402,479,091,307,483,103,
028,331,308,053,238,927,090,841,786,690,611,763,897,998,460,308,184,642,629,
655,517,404,879,971,654,177,160,618,471,145,710,126,383,924,445,686,179,604,
264,691,273,271,210,649,803,430,991,594,056,061,554,474,467,065,755,674,588,
836,014,586,793,872,865,493,184,639,867,913,070,289,966,706,686,874,602,784,
503,699,338,940,553,421,744,147,065,155,043,700,643,379,022,358,675,163,214,
427,503,456,191,117,476,052,127,314,200,494,749,935,848,620,910,700,348,682,
891,277,299,759,296,243,775,105,990,726,842,971,537,664,383,998,013,841,197,
523,276,047,929,168,186,588,076,134,200,567,506,646,503,709,433,262,491,290,
871,387,518,196,853,569,016,265,401,187,637,518,635,918,473,832,744,232,097,
086,803,351,300,162,145,671,324,298,681,005,186,355,002,673,312,336,323,615,
084,666,934,997,533,365,394,433,504,446,822,607,304,617,999,734,591,917,170,
659,475,946,813,433,163,501,321,897,503,134,301,558,827,685,625,411,978,338,
960,165,379,495,355,496,143,521,141,339,685,432,643,351,154,676,964,782,517,
529,693,442,147,687,013,748,846,435,492,956,656,910,904,450,884,404,342,604,
929,716,342,504,891,129,512,225,011,259,926,449,540,171,541,735,441,696,648,
500,443,206,693,936,534,314,032,021,123,552,907,673,078,781,465,592,066,625,
239,033,151,974,063,897,579,064,992,982,689,530,023,192,088,536,887,542,890,
954,778,911,619,848,739,542,463,181,285,673,902,694,419,554,293,349,087,351,
306,773,905,410,503,912,093,368,085,151,023,309,073,633,821,313,127,937,582,
284,453,089,402,479,805,388,476,464,202,686,558,397,559,877,324,557,457,839,
045,632,715,561,383,857,024,054,855,617,153,657,893,958,708,831,236,087,410,
497,543,122,161,681,472,495,167,126,599,206,978,882,408,230,500,408,268,253,
059,321,206,933,080,243,850,431,147,402,488,540,509,326,213,584,776,687,381,
345,612,286,356,971,598,612,692,890,581,730,914,100,801,613,818,446,510,472,
345,991,740,829,176,771,365,349,467,874,940,027,563,874,673,208,924,104,463,
859,932,609,390,338,796,963,432,937,988,531,013,472,844,207,740,198,715,294,
947,075,125,038,356,731,500,639,125,938,340,542,267,278,329,798,275,535,585,
391,500,956,915,238,885,168,466,266,917,333,681,149,363,904,072,810,148,270,
416,378,502,409,959,202,120,740,014,720,710,147,014,045,076,006,397,983,412,
539,290,385,173,583,444,645,183,470,774,133,155,907,030,056,268,420,104,688,
102,797,789,529,057,899,495,585,942,245,816,801,792,277,723,875,728,178,401,
911,815,921,754,386,701,274,259,283,660,587,055,909,930,856,505,750,894,889,
675,953,030,706,483,683,343,007,946,651,513,594,686,111,534,795,539,818,815,
063,769,563,394,130,166,849,672,060,929,161,029,854,490,442,369,735,567,638,
294,738,748,257,412,346,134,005,023,453,098,007,155,940,178,976,913,351,685,
205,457,165,568,760,965,219,339,567,183,331,126,678,015,740,725,796,047,873,
684,382,456,382,345,672,550,223,968,236,609,028,953,387,541,531,298,841,334,
404,504,920,604,983,597,390,817,524,667,522,916,934,858,446,939,996,632,971,
028,584,716,414,289,756,577,537,158,039,752,340,666,768,905,832,565,637,346,
457,490,814,654,134,966,479,015,405,366,929,089,578,655,553,770,409,160,472,
373,602,786,250,511,270,741,150,882,818,749,815,031,173,471,322,300,542,023,
731,303,663,438,861,567,443,459,924,235,035,770,038,650,786,850,147,721,288,
560,841,154,648,049,124,675,929,642,717,790,600,479,278,403,716,763,524,775,
944,096,137,683,022,610,114,616,017,940,176,477,190,658,155,910,015,865,195,
400,813,886,771,701,955,187,842,841,908,080,907,967,804,482,957,717,123,388,
319,516,366,262,602,272,745,723,541,320,478,634,317,934,065,084,780,732,624,
585,424,317,125,415,770,226,502,880,084,243,453,163,163,478,405,323,119,486,
050,494,472,595,640,746,398,533,329,244,186,399,502,614,936,308,089,978,730,
473,236,186,740,276,471,654,868,688,537,957,424,078,203,315,060,502,923,217,
948,262,829,869,858,176,402,915,606,188,170,435,148,199,484,165,354,155,993,
904,759,474,780,818,405,159,458,748,151,360,886,069,764,051,533,750,392,713,
567,996,074,236,111,381,418,083,603,152,477,344,577,666,534,471,074,051,803,
014,862,539,858,844,907,501,335,474,969,893,913,064,843,649,101,885,296,585,
522,437,159,071,283,049,265,514,114,684,985,344,017,261,676,784,856,993,216,
013,326,249,384,293,783,054,878,589,532,290,056,817,237,787,889,753,226,024,
821,702,329,969,746,308,941,104,401,514,636,075,495,639,907,216,988,834,576,
442,338,519,139,340,086,515,014,266,783,143,567,387,126,666,163,104,725,247,
940,482,896,129,846,601,604,075,659,474,053,365,792,829,186,946,874,689,446,
348,113,431,617,791,638,745,448,529,559,334,583,147,478,075,633,909,669,712,
282,543,145,866,231,575,426,922,059,204,861,130,198,653,483,969,450,938,661,
884,845,684,771,716,161,300,707,119,473,161,595,432,693,466,880,064,093,065,
299,375,119,326,592,069,194,735,494,231,696,922,339,682,894,744,645,021,045,
416,333,528,159,832,333,035,833,014,299,776,038,846,840,932,755,334,306,168,
869,746,468,900,812,600,590,625,590,622,314,182,252,862,164,959,693,967,196,
571,987,690,697,699,871,204,237,907,876,154,456,219,941,376,958,418,821,769,
234,451,291,760,875,352,228,755,044,317,209,726,718,642,550,016,426,434,243,
427,152,995,112,762,931,187,584,925,694,673,245,220,165,384,703,889,534,374,
512,144,999,285,159,058,741,049,252,158,945,382,386,075,608,664,562,081,043,
762,065,241,122,487,901,476,765,899,383,635,607,728,888,565,504,566,988,503,
330,138,303,626,444,868,574,526,334,213,583,628,101,864,598,605,711,103,302,
753,985,736,488,294,096,410,427,882,714,684,698,666,137,133,949,587,529,317,
785,681,380,307,032,982,184,801,367,038,051,632,655,581,821,470,471,061,336,
859,172,340,216,000,027,848,695,166,797,801,088,324,468,937,119,505,276,132,
589,323,097,861,373,443,561,138,209,517,955,322,582,288,175,131,629,781,788,
133,807,321,242,412,542,874,263,677,711,042,730,862,546,086,657,487,038,607,
503,298,204,486,929,795,175,263,635,229,282,171,522,187,810,387,368,970,166,
294,569,034,079,913,954,062,865,243,974,219,700,249,843,965,126,815,245,511,
685,263,502,133,354,134,595,658,586,087,902,799,986,829,309,379,168,214,968,
400,579,239,322,610,312,750,558,264,134,634,804,287,722,281,320,072,120,405,
314,059,128,733,222,297,600,228,088,415,627,234,531,339,175,835,168,414,788,
830,069,166,982,959,513,815,158,168,646,789,061,254,404,056,562,718,294,818,
178,322,448,676,219,579,707,912,616,874,648,527,039,647,200,653,897,869,803,
725,043,786,879,708,927,195,068,650,504,420,145,299,557,652,925,394,384,467,
567,277,159,684,738,867,560,112,769,125,569,077,277,520,449,180,372,701,243,
495,579,457,148,041,357,008,668,274,182,162,317,004,087,311,457,927,951,985,
523,977,665,507,661,278,607,115,181,372,291,301,013,565,512,349,971,736,255,
880,299,263,867,355,690,671,067,940,437,310,799,124,386,586,010,519,857,790,
540,852,087,360,767,195,734,354,453,408,665,407,018,356,427,029,343,181,525,
150,673,168,189,887,140,716,115,168,747,855,030,445,721,220,604,955,138,819,
244,480,401,613,404,651,575,628,372,340,468,951,358,184,827,424,675,251,982,
644,373,670,829,913,627,068,577,291,921,200,360,146,735,920,992,944,584,403,
166,224,378,450,092,344,258,086,810,121,711,848,023,866,216,420,232,401,378,
158,485,839,709,448,582,264,401,797,935,454,472,321,453,260,027,295,426,948,
930,696,430,900,177,852,368,303,651,069,161,320,135,582,175,865,312,358,206,
622,799,339,776,205,040,993,636,615,817,679,399,393,182,048,082,162,278,481,
257,528,209,219,880,384,631,112,245,923,773,835,834,580,253,985,391,767,615,
186,461,568,830,481,438,435,717,913,522,006,365,658,778,302,564,202,690,246,
457,458,495,460,126,906,591,308,257,135,920,778,137,369,115,384,996,338,984,
640,084,901,154,295,576,994,407,290,481,790,208,288,963,933,706,409,166,069,
844,473,792,843,073,160,450,552,117,821,022,159,343,293,663,730,504,753,569,
784,239,890,844,909,765,177,261,139,729,025,612,495,178,154,177,963,827,269,
983,962,145,033,500,490,416,279,427,905,006,983,239,264,353,914,854,758,942,
896,820,973,476,768,579,241,392,829,069,991,704,414,509,610,654,395,201,853,
410,337,521,992,473,622,853,501,193,694,509,198,422,415,295,325,473,484,422,
144,581,378,709,893,973,269,571,909,158,918,813,561,350,319,125,968,564,391,
583,696,678,908,836,936,168,257,668,720,065,941,210,742,210,872,761,339,669,
419,536,203,289,081,784,156,452,058,547,090,773,939,777,755,792,765,887,467,
811,489,228,977,106,651,294,583,184,606,137,311,697,793,197,110,537,071,779,
189,616,619,761,198,051,323,426,302,459,381,876,066,482,037,660,196,185,440,
758,904,022,101,304,519,732,541,922,784,526,253,562,721,012,545,813,043,557,
810,637,248,677,692,793,378,678,638,654,019,761,171,997,705,961,380,954,561,
920,389,691,389,011,105,168,041,059,744,478,799,157,672,543,559,177,273,904,
418,638,232,536,098,706,552,635,651,303,216,233,501,078,726,218,979,964,217,
732,689,962,668,840,625,512,749,235,564,218,230,779,696,865,520,688,600,696,
325,042,949,002,099,033,697,255,273,590,244,343,662,878,008,856,182,250,181,
060,371,895,390,439,512,462,548,005,009,487,096,943,477,426,180,610,991,043,
695,307,382,716,123,539,973,064,264,491,806,196,847,397,331,198,247,266,425,
694,611,436,301,725,415,809,672,051,691,639,513,004,760,597,140,853,206,419,
080,449,025,277,276,290,324,919,108,744,317,333,426,546,023,070,658,789,075,
263,139,668,882,969,416,844,045,839,472,011,708,928,098,852,194,765,005,711,
450,984,903,745,295,552,588,881,539,538,272,716,054,316,159,163,594,573,498,
256,214,791,651,085,759,322,404,560,135,497,139,916,588,734,191,168,324,969,
909,667,517,855,625,377,799,018,955,440,093,750,891,227,220,708,407,916,156,
990,814,473,112,186,767,490,350,998,451,874,133,647,652,373,397,542,374,255,
311,472,661,420,256,927,681,171,057,023,917,454,987,289,392,105,369,755,992,
298,464,323,236,187,653,306,026,123,916,951,949,342,939,555,876,255,013,948,
257,599,234,167,398,417,974,835,620,133,155,838,589,164,961,292,710,753,191,
521,615,245,555,128,927,355,452,838,206,005,199,235,815,287,904,485,108,552,
137,808,207,902,859,426,733,722,164,375,694,295,438,334,297,797,891,273,688,
948,422,897,660,359,905,155,331,121,314,267,828,381,446,571,809,480,604,747,
935,207,041,160,514,305,439,443,772,870,776,877,975,382,506,051,064,683,046,
895,046,414,066,734,941,024,988,152,505,058,513,037,012,067,039,653,914,488,
610,691,930,010,684,502,313,139,708,908,590,747,676,975,451,183,268,862,219,
362,337,772,827,136,266,096,025,637,629,218,229,813,317,195,868,551,708,589,
979,458,609,520,659,986,073,757,906,338,466,403,325,042,861,398,568,896,981,
740,551,132,051,430,149,729,880,132,578,091,008,362,969,991,913,094,651,985,
318,434,479,836,244,419,556,828,681,536,698,137,995,627,006,652,396,833,074,
778,501,633,912,092,036,375,570,128,385,272,232,843,318,413,327,265,748,979,
963,569,662,355,432,462,161,939,939,755,370,920,484,456,077,773,884,212,674,
563,338,608,748,114,142,962,816,151,792,259,303,285,715,609,781,495,189,439,
152,462,175,477,976,024,244,896,171,502,501,946,178,665,313,157,657,513,180,
118,444,508,267,666,162,269,671,213,769,717,063,678,003,378,429,370,028,711,
978,284,928,521,482,113,720,933,200,851,528,215,795,791,139,745,306,567,629,
603,020,289,955,587,216,882,062,328,628,750,991,698,788,749,509,780,934,983,
768,422,679,582,304,470,424,786,469,732,821,393,754,721,853,808,380,863,312,
792,591,028,929,848,711,343,842,974,022,510,094,969,043,347,560,235,970,951,
399,849,886,434,611,568,276,269,034,648,172,002,990,364,515,590,457,396,919,
494,180,423,856,883,361,729,043,704,024,551,538,079,239,292,555,144,616,734,
227,134,167,747,485,083,743,104,372,054,341,857,704,715,549,337,278,876,129,
968,896,209,620,519,950,440,916,245,445,464,503,505,113,555,945,898,941,266,
828,518,593,863,469,794,946,691,810,028,790,028,421,585,279,268,099,361,293,
448,903,274,372,914,706,078,385,820,899,745,325,660,627,013,176,484,246,659,
458,697,972,057,487,065,167,479,047,959,858,634,169,929,537,645,825,681,280,
092,333,306,089,172,491,700,297,244,579,520,935,671,260,045,078,760,200,126,
261,348,743,481,225,516,914,189,314,767,098,730,796,270,507,868,966,325,787,
063,294,877,137,164,557,431,259,939,024,455,709,437,673,845,411,142,564,665,
602,552,323,871,650,094,460,541,283,158,217,712,146,494,623,036,232,406,444,
237,948,757,804,046,621,371,084,837,516,620,003,929,685,283,509,859,245,592,
570,543,329,902,546,141,197,567,656,088,353,074,838,993,739,166,618,539,676,
042,914,727,783,483,372,373,835,313,614,896,227,733,560,135,829,074,704,143,
371,057,518,262,036,898,851,699,676,369,386,561,981,039,108,841,694,396,953,
678,517,453,865,267,103,536,346,971,829,227,609,032,000,537,655,840,367,175,
712,673,948,347,604,717,718,815,345,424,343,147,804,727,380,467,023,834,702,
688,052,402,850,126,600,909,443,642,267,182,827,042,783,204,907,097,586,833,
674,784,326,892,334,932,638,501,039,347,402,458,109,750,795,849,794,229,239,
315,004,516,191,236,472,363,527,433,830,595,017,421,358,371,585,285,008,994,
354,149,454,409,518,964,836,802,462,319,885,670,774,838,950,851,722,573,169,
225,894,950,070,014,961,594,944,053,368,501,434,854,168,343,199,577,441,009,
682,701,699,126,631,341,605,959,519,307,743,389,687,416,052,217,562,283,095,
607,155,520,149,079,276,181,750,780,754,748,778,450,711,857,753,746,460,201,
815,377,466,329,883,558,820,459,182,789,004,520,172,657,211,146,769,203,279,
055,631,664,027,064,445,879,881,432,854,956,175,252,216,245,519,465,051,598,
652,346,092,566,856,709,268,202,001,810,806,347,301,740,856,508,935,133,978,
424,778,703,216,127,210,073,036,974,397,576,306,675,199,038,995,527,803,350,
474,703,858,225,943,685,009,587,485,433,295,431,552,046,262,946,715,736,504,
617,073,367,438,575,830,126,616,935,295,099,791,915,827,811,616,135,154,098,
254,946,995,642,623,519,972,315,126,141,014,737,181,142,908,288,021,065,124,
413,831,794,764,915,793,571,403,845,426,781,793,935,395,018,572,745,136,504,
007,355,510,543,204,701,934,604,963,962,405,827,290,250,085,043,355,221,268,
622,610,199,688,331,623,500,244,039,715,673,240,780,399,715,016,828,177,915,
911,601,767,773,180,538,005,774,966,041,681,124,187,626,359,864,025,079,193,
173,748,320,316,948,032,408,929,024,113,968,038,786,158,532,279,654,331,317,
204,656,740,073,365,357,449,619,077,963,525,449,684,565,666,080,427,561,614,
695,165,409,957,588,666,310,869,586,388,140,440,167,795,716,614,802,260,151,
981,299,294,463,047,896,595,884,404,299,407,808,112,955,505,433,791,303,321,
313,022,930,386,214,577,133,660,221,754,946,563,014,503,553,842,168,804,689,
214,334,553,541,089,366,633,408,947,019,295,807,500,022,893,075,554,263,176,
124,791,616,915,500,144,459,110,999,548,515,045,163,042,481,131,587,233,287,
879,001,190,466,328,411,430,655,491,540,084,935,069,134,868,911,827,456,640,
012,767,274,409,418,360,777,605,071,200,666,237,737,078,468,124,578,475,545,
901,243,878,254,677,984,214,595,837,463,672,993,437,106,889,141,113,166,255,
220,090,456,230,480,293,135,352,231,595,225,424,642,822,610,309,526,010,624,
397,672,434,471,210,768,532,381,235,481,726,809,355,173,114,898,808,199,754,
821,247,601,202,500,253,454,898,773,960,458,507,392,490,551,346,078,993,841,
447,982,331,227,134,197,895,649,814,467,163,623,048,976,688,672,862,742,008,
932,351,084,885,214,767,838,854,759,466,961,752,526,712,205,074,175,151,061,
731,595,367,243,149,354,820,730,370,058,422,735,652,895,044,143,945,004,453,
002,934,758,849,068,701,855,709,889,166,397,500,615,882,124,528,933,461,172,
018,694,301,890,307,483,050,526,999,710,348,719,982,761,811,320,797,435,655,
820,790,598,835,901,822,172,894,935,718,957,261,737,002,938,445,902,606,676,
970,961,888,288,582,089,886,080,468,037,739,979,507,107,839,031,832,250,041,
278,305,003,761,321,891,347,748,572,150,273,228,445,201,298,655,620,039,255,
078,655,362,268,454,841,967,561,371,480,479,314,654,689,821,033,855,563,285,
425,717,090,087,748,148,104,359,979,355,324,125,580,185,683,872,645,577,536,
077,696,800,794,143,968,918,597,494,520,345,108,379,169,057,994,321,607,365,
895,125,846,033,941,559,540,945,331,384,940,500,518,687,383,679,434,494,862,
167,485,470,701,156,549,364,122,017,595,909,229,236,221,712,092,799,423,704,
461,640,004,442,945,435,506,169,982,329,704,098,251,247,535,426,881,962,201,
607,529,515,735,876,372,189,507,577,530,337,682,589,536,598,747,964,029,782,
297,373,330,733,078,034,693,770,279,257,984,543,555,942,422,952,323,237,630,
625,425,081,559,075,684,932,399,017,718,582,364,018,961,811,668,531,460,454,
462,705,884,430,054,561,542,862,998,832,061,588,598,148,386,608,466,816,982,
959,069,840,740,579,021,833,008,142,642,103,460,403,877,397,722,474,877,145,
673,024,251,448,493,057,814,196,779,761,502,080,220,504,352,983,530,475,468,
779,735,196,482,211,850,667,807,151,928,971,660,389,900,296,893,970,409,792,
125,427,283,450,179,442,139,715,950,375,866,932,760,023,145,859,328,423,820,
307,182,138,765,815,562,413,963,743,101,989,086,282,431,557,566,061,522,675,
151,780,692,162,617,314,999,268,977,569,999,353,741,889,723,372,737,433,663,
690,791,022,981,734,448,732,967,979,424,829,188,228,727,679,123,045,691,005,
789,667,992,494,772,652,634,814,278,477,741,548,331,592,995,255,809,968,206,
992,460,070,687,500,763,473,832,939,785,494,309,122,342,591,100,231,727,407,
215,988,141,511,113,889,569,591,086,945,822,274,145,962,373,537,312,388,869,
847,389,683,706,826,437,615,605,390,764,258,113,935,666,184,769,165,849,530,
582,185,565,523,133,423,252,394,656,210,494,469,716,605,195,754,355,221,348,
708,805,429,220,691,575,372,444,155,334,764,292,849,431,963,454,798,125,954,
366,809,259,093,305,057,050,938,556,459,979,127,857,436,786,311,363,629,674,
162,604,104,307,487,852,754,173,385,229,799,273,205,755,691,207,967,853,941,
266,586,263,558,026,053,532,726,031,258,827,605,089,617,081,045,225,527,485,
553,295,106,352,258,991,105,748,912,391,378,098,974,447,832,068,924,273,918,
552,012,688,023,126,373,993,987,118,304,577,740,151,145,774,116,411,649,985,
401,944,082,536,632,581,186,462,163,123,895,373,131,705,982,428,634,529,941,
396,714,201,404,407,008,058,373,027,135,091,561,741,593,820,298,014,539,700,
853,962,416,711,432,988,850,616,306,087,044,043,370,977,210,238,447,135,318,
554,720,515,596,803,383,852,810,255,967,426,706,780,643,287,675,530,911,517,
414,333,196,573,114,227,963,712,315,717,234,478,940,975,347,492,552,403,783,
866,277,160,562,585,918,478,722,478,381,167,541,846,624,799,171,338,124,644,
338,949,061,832,073,653,445,837,927,072,963,309,127,910,601,070,799,385,440,
799,502,505,411,354,615,298,489,313,177,778,910,851,177,063,649,537,249,220,
281,241,306,753,333,001,554,932,748,282,834,720,316,786,158,678,356,589,128,
851,211,987,158,060,163,941,794,575,924,238,050,340,293,661,141,227,460,178,
319,959,092,716,589,886,477,758,586,821,301,853,879,254,016,250,223,808,260,
803,412,962,334,620,961,381,485,618,527,604,511,641,407,438,340,933,009,518,
960,379,772,961,109,221,940,193,418,518,031,167,165,145,693,999,083,421,382,
740,531,407,951,804,148,935,232,753,229,076,245,065,977,062,683,653,593,650,
142,827,742,096,426,247,704,449,548,506,345,318,530,728,610,314,937,303,071,
596,454,765,933,038,601,359,500,965,220,337,412,797,443,721,741,577,955,430,
163,964,795,517,632,250,040,482,485,748,412,451,043,555,022,561,392,143,372,
626,871,757,989,194,486,720,777,816,523,377,655,479,517,156,297,485,625,960,
841,460,244,234,342,998,001,528,505,259,169,095,682,607,987,066,220,111,473,
512,835,164,144,573,007,373,081,487,860,375,686,686,185,752,243,252,205,246,
053,429,870,357,322,220,993,573,170,471,094,484,222,565,377,582,864,781,989,
958,638,840,386,591,559,533,296,530,716,950,616,860,392,462,862,774,843,994,
075,475,195,452,047,173,969,209,550,122,505,981,819,464,381,609,304,515,730,
217,361,126,115,124,268,979,502,162,473,667,919,515,986,640,385,709,534,166,
932,020,374,396,356,707,735,566,289,840,841,870,037,383,372,586,478,111,429,
424,075,052,954,128,910,589,065,888,839,745,508,393,804,643,205,288,409,580,
444,624,781,148,479,058,819,901,727,065,386,133,921,581,272,304,799,394,382,
381,389,486,056,830,220,635,020,475,173,647,511,485,306,740,636,944,084,709,
454,000,858,519,709,573,906,969,670,915,999,761,287,032,288,242,571,122,509,
503,716,960,163,897,497,674,218,159,025,773,445,477,779,662,527,576,335,113,
846,199,146,255,937,191,851,771,915,595,541,464,533,090,240,928,740,689,711,
408,247,764,075,027,194,525,333,105,902,714,424,724,233,454,299,665,305,819,
220,874,685,412,428,879,347,945,687,732,569,667,491,900,220,914,790,739,231,
150,716,647,045,134,355,627,339,957,812,933,337,363,379,016,039,507,207,990,
486,549,924,176,922,830,426,739,717,316,307,225,128,063,229,859,016,539,958,
326,257,247,846,587,035,536,384,053,527,958,211,653,926,834,298,339,750,500,
252,049,997,297,086,924,097,927,714,132,781,056,111,665,250,660,318,468,387,
733,568,736,233,047,626,421,491,572,988,093,789,240,815,964,392,047,324,433,
736,800,587,039,499,241,366,690,753,989,080,681,154,848,795,822,435,023,796,
036,606,580,653,588,467,465,483,086,865,497,504,820,216,222,869,695,736,198,
008,937,158,513,714,339,988,458,339,546,894,472,769,596,404,341,063,996,150,
132,790,032,897,613,200,954,524,281,091,753,537,680,100,743,176,112,941,912,
217,607,498,709,180,642,999,070,468,934,924,190,345,420,467,072,759,879,510,
432,156,353,932,756,504,417,499,792,316,865,148,517,370,645,644,321,488,091,
850,122,843,326,862,193,373,113,445,854,692,486,606,669,554,627,729,284,345,
655,121,174,112,702,367,904,849,873,848,461,409,859,934,633,148,360,697,386,
034,045,654,165,406,927,208,443,212,746,352,648,827,013,757,299,321,594,065,
903,131,410,980,867,733,547,634,442,873,900,135,968,150,083,592,991,819,381,
145,399,987,813,251,418,503,613,357,421,815,141,632,343,647,970,549,175,048,
657,376,719,240,702,134,662,351,747,319,223,982,857,818,649,094,579,759,739,
344,565,726,837,782,888,546,798,441,134,279,505,288,747,307,812,752,500,822,
399,419,425,310,419,050,805,227,771,334,139,405,371,989,180,820,115,930,850,
600,722,359,430,035,495,285,246,401,592,627,979,869,149,787,218,396,166,729,
307,609,155,125,996,668,950,615,528,069,771,997,925,476,457,279,901,078,858,
535,191,718,083,248,327,221,978,471,106,118,306,265,432,966,531,420,459,441,
101,635,387,677,028,298,573,282,059,833,996,654,875,499,897,381,888,808,697,
359,742,497,909,238,694,439,079,614,314,190,615,861,542,773,809,233,449,368,
159,402,709,567,480,627,821,775,834,375,375,984,065,777,431,094,593,530,299,
680,064,196,969,768,328,676,999,957,825,003,313,137,694,019,138,793,931,630,
831,784,593,476,837,452,895,263,606,649,582,495,306,420,671,454,766,222,169,
893,511,081,062,279,725,009,083,353,674,706,057,914,011,542,147,355,063,655,
945,993,794,219,292,609,544,107,047,358,732,049,781,784,840,529,838,097,636,
298,284,644,995,258,247,304,744,839,036,126,275,775,507,405,540,035,692,836,
764,266,201,620,942,050,494,331,652,079,588,744,016,242,198,052,474,513,876,
274,054,751,435,355,409,547,433,033,878,603,166,994,183,447,613,150,312,210,
786,049,736,356,507,402,858,929,093,255,843,006,615,196,250,176,733,456,216,
348,895,615,592,122,266,034,066,560,307,610,089,797,431,169,682,804,506,934,
178,068,742,660,582,510,119,376,224,499,656,849,186,559,953,481,615,642,794,
488,473,601,534,760,977,847,138,977,646,635,328,634,178,966,043,102,520,388,
222,838,028,482,193,580,656,926,630,724,830,594,933,132,330,571,441,346,195,
744,113,933,338,810,364,895,091,159,474,096,726,373,026,194,330,381,117,314,
756,862,484,592,409,429,810,592,672,637,898,869,917,009,015,773,548,232,625,
292,517,772,268,367,892,522,442,895,185,857,525,472,131,390,882,429,667,048,
803,926,865,835,121,997,607,371,025,969,518,288,485,182,819,980,556,454,549,
263,869,079,158,905,130,002,388,587,811,668,271,006,128,181,569,194,457,968,
955,383,809,250,166,222,464,507,889,224,885,624,981,790,379,250,048,586,492,
518,253,271,596,342,616,171,638,800,625,922,996,124,522,970,266,703,382,389,
072,899,652,598,887,527,084,680,995,938,223,992,087,341,378,183,461,341,227,
595,837,433,236,296,492,039,894,899,383,976,930,342,748,382,108,276,457,495,
896,165,779,570,402,001,036,779,614,528,512,249,322,710,383,557,571,853,888,
288,817,385,272,863,948,178,512,840,638,126,264,926,543,236,669,669,950,129,
094,634,265,748,495,723,843,821,067,533,928,311,104,868,165,306,248,401,676,
436,387,475,908,736,729,464,280,533,452,260,037,264,016,265,261,630,332,116,
260,379,750,158,740,352,699,241,841,847,060,139,550,681,706,556,338,939,600,
160,145,235,103,364,297,868,283,473,805,969,283,353,562,164,279,281,312,941,
852,736,441,329,788,527,870,252,954,203,601,712,492,954,570,634,990,060,259,
232,384,873,460,445,715,596,258,358,961,159,948,560,710,173,003,282,261,110,
408,570,978,201,735,007,818,085,526,432,560,760,337,405,362,270,652,350,749,
842,279,648,636,874,274,767,766,787,229,535,699,693,414,222,423,642,209,121,
763,402,969,304,125,743,038,332,577,549,648,853,237,967,416,733,573,212,395,
680,079,361,805,398,549,418,780,067,529,809,139,810,065,471,187,052,026,534,
832,591,642,249,143,234,592,695,814,149,754,128,632,395,193,151,168,385,957,
870,168,894,709,137,981,019,802,933,308,885,418,972,078,914,772,059,253,936,
766,596,062,318,884,413,024,838,696,782,555,451,852,983,565,566,781,941,721,
021,564,916,958,384,233,983,670,692,423,985,065,919,510,386,727,300,238,213,
754,838,653,488,386,408,291,515,469,982,449,929,850,537,708,288,155,929,764,
562,814,090,269,824,087,354,950,694,626,833,691,816,155,108,936,686,786,436,
324,655,943,931,985,832,215,015,831,331,414,714,729,840,172,759,953,306,601,
883,104,907,124,003,877,901,926,640,966,130,075,569,463,372,180,292,194,611,
036,196,314,937,710,392,408,698,212,816,346,476,904,130,908,733,532,456,234,
600,222,721,711,240,234,835,058,929,924,976,119,974,243,291,726,483,693,051,
913,412,295,401,303,461,653,125,752,545,582,086,170,116,693,782,496,395,867,
169,111,350,507,853,586,004,899,509,737,002,403,703,815,950,685,451,329,107,
615,513,098,624,132,574,226,973,706,244,049,551,406,524,901,266,777,109,492,
990,231,108,787,069,467,101,896,053,300,327,836,125,902,674,846,739,378,190,
818,416,999,575,182,803,846,378,819,649,799,243,086,351,183,294,189,626,951,
591,550,438,297,875,967,338,268,024,660,366,407,048,518,972,055,964,778,775,
264,081,698,917,448,632,102,334,968,456,643,637,453,245,448,735,629,622,453,
567,273,712,046,292,881,671,035,884,470,918,297,493,420,737,766,309,849,975,
136,214,295,457,689,077,387,815,307,577,671,258,665,915,716,811,209,279,181,
667,961,740,062,057,751,850,689,770,717,777,858,961,731,627,375,042,131,040,
499,039,302,793,462,160,947,475,307,933,048,670,389,503,375,291,412,814,217,
481,379,201,393,925,695,230,091,029,474,392,480,416,850,237,797,032,709,232,
508,972,952,678,646,111,614,110,280,621,028,919,246,922,788,252,382,282,950,
533,790,266,585,614,941,816,745,855,049,550,353,578,604,800,897,037,418,953,
746,611,589,971,396,903,694,786,168,022,282,549,731,594,422,117,650,602,943,
777,813,444,641,864,133,474,206,240,636,595,205,918,806,378,775,413,419,671,
323,143,297,688,165,146,352,418,793,742,552,789,941,302,205,287,713,902,502,
214,692,901,079,278,166,729,562,827,529,735,896,800,194,896,088,019,202,789,
771,280,682,580,295,110,749,769,600,701,261,328,181,135,721,634,350,700,049,
074,606,098,702,898,515,274,015,431,273,765,807,937,719,916,805,385,627,490,
104,257,147,032,314,492,782,938,942,759,430,838,979,568,803,731,081,408,325,
948,317,386,459,872,803,977,158,037,255,563,142,483,841,937,051,174,303,209,
759,834,849,904,474,338,632,594,002,207,425,232,203,743,607,041,110,815,031,
583,982,127,775,997,123,717,031,187,408,687,925,527,508,329,960,497,852,231,
649,511,134,228,524,822,446,145,734,998,097,847,071,761,133,309,722,477,073,
958,843,486,118,075,427,012,814,675,318,519,124,673,692,390,190,816,074,191,
269,034,116,592,321,870,446,032,424,799,097,842,935,339,345,258,675,251,093,
309,913,187,899,603,653,035,075,840,868,156,183,032,978,762,702,214,496,226,
427,776,665,791,620,867,007,088,420,863,028,851,023,779,035,279,560,647,812,
616,186,953,255,241,680,759,454,372,511,088,113,584,163,972,853,045,743,658,
280,407,553,832,249,497,968,883,696,652,836,853,182,545,374,300,030,284,705,
578,009,577,217,560,680,447,026,409,530,486,391,741,782,462,164,576,500,497,
877,230,070,658,245,618,197,716,878,168,281,262,357,914,485,474,852,317,118,
832,569,712,815,616,284,882,705,321,229,034,266,368,950,125,129,378,828,650,
265,280,680,668,877,212,863,848,644,810,754,530,703,860,920,077,391,478,638,
831,617,118,366,273,765,546,529,550,293,267,163,382,441,950,827,469,404,914,
116,608,154,426,681,588,970,700,396,656,635,241,404,154,344,567,077,052,779,
471,712,610,512,530,392,214,373,018,991,100,309,788,567,527,445,347,225,781,
918,957,603,570,084,041,156,602,018,625,944,121,788,664,006,054,736,998,209,
608,962,418,942,775,918,496,661,753,990,092,319,883,660,844,427,561,471,395,
514,919,480,210,170,009,393,329,444,349,741,382,288,210,063,834,247,808,863,
803,457,510,367,941,262,843,830,985,972,113,502,393,389,096,808,661,792,927,
781,404,594,047,959,169,569,463,498,432,984,624,216,708,477,857,142,769,404,
125,063,210,359,224,644,000,891,567,164,361,968,866,360,435,507,497,852,648,
292,311,426,609,657,241,614,723,808,354,446,973,327,423,617,272,818,692,852,
853,075,841,200,783,331,153,632,108,508,791,984,320,307,442,727,526,539,912,
269,872,749,043,068,720,892,754,918,533,185,811,480,168,801,370,808,188,598,
460,987,718,594,044,127,961,920,361,066,603,500,643,162,508,173,951,990,219,
306,753,099,410,756,374,202,899,201,554,570,035,714,910,082,063,610,141,702,
378,762,510,000,639,193,855,956,337,109,032,675,544,128,228,635,778,482,247,
130,117,723,486,713,562,699,127,751,114,506,662,840,434,750,227,471,444,160,
470,434,428,588,350,133,196,490,920,898,677,942,286,209,583,633,727,939,282,
689,179,687,222,489,628,835,526,430,121,242,675,736,391,103,584,823,988,336,
955,802,492,097,309,180,256,659,010,713,893,154,871,519,535,489,926,213,693,
903,403,273,329,168,845,680,730,799,310,144,315,987,798,416,535,463,014,885,
440,218,307,942,810,258,765,725,118,891,246,707,500,339,596,545,525,270,726,
262,390,575,169,491,592,704,639,122,920,069,272,407,222,768,295,705,030,850,
097,453,602,360,440,480,756,565,862,002,180,958,382,267,408,683,427,112,446,
970,764,139,587,030,019,047,951,661,862,940,101,542,550,539,159,643,958,823,
175,324,584,898,150,709,188,424,425,862,799,152,421,109,025,621,681,138,406,
913,965,592,833,700,466,925,419,983,479,991,717,513,508,041,972,932,393,195,
095,836,482,794,203,649,268,291,565,027,949,367,806,560,928,339,020,234,049,
505,140,734,104,957,393,719,438,742,863,590,486,352,038,108,547,432,787,123,
382,382,658,933,416,661,968,374,564,808,625,968,094,028,004,861,603,012,808,
257,993,985,259,925,648,833,432,282,710,471,335,030,830,847,730,120,552,504,
669,839,846,884,369,073,937,237,073,408,632,019,323,779,751,418,704,753,713,
715,976,636,304,667,519,689,160,343,671,704,121,413,939,215,172,659,632,793,
955,046,787,290,248,453,196,286,925,242,125,025,735,046,283,120,391,154,012,
348,502,985,434,808,966,063,576,736,068,051,647,504,962,502,845,023,132,776,
291,648,472,383,820,353,822,864,470,239,990,944,916,360,011,929,959,658,640,
391,164,744,154,472,132,572,191,947,598,568,879,363,149,759,770,975,227,364,
617,066,133,326,235,167,700,696,745,815,359,401,030,381,314,834,351,202,463,
784,644,522,400,917,883,352,232,923,236,923,264,992,506,071,851,234,755,269,
132,319,339,944,295,312,930,783,959,599,078,216,720,337,159,524,575,983,130,
757,916,131,505,321,552,591,081,885,513,325,162,215,190,392,099,555,579,277,
092,691,666,194,192,568,060,174,064,742,973,146,081,416,983,066,251,297,423,
959,743,001,729,991,005,556,634,473,562,726,300,644,801,656,469,516,092,336,
019,254,685,322,537,248,741,252,600,807,502,228,919,523,373,041,545,274,363,
558,010,760,473,382,031,978,221,421,418,118,539,801,449,738,845,669,787,570,
050,497,774,683,899,002,021,604,354,204,527,704,115,922,910,145,143,095,280,
300,181,934,833,172,495,856,878,796,801,859,212,904,503,202,004,844,228,988,
520,134,986,877,961,644,719,448,139,208,728,504,858,547,605,432,327,794,434,
442,231,656,641,168,513,539,749,888,043,784,359,625,580,762,647,131,631,287,
624,428,120,953,096,539,531,087,792,709,999,153,365,660,012,308,414,462,978,
382,220,416,430,116,029,895,611,629,684,658,522,380,308,158,865,314,562,267,
934,369,989,229,108,543,053,225,441,308,435,468,301,368,862,548,187,565,020,
293,379,136,058,415,310,807,466,772,076,967,956,918,064,034,626,584,936,022,
004,342,794,236,525,153,336,084,121,645,010,938,136,621,519,352,879,922,013,
747,351,866,288,928,833,460,249,197,772,597,308,478,149,319,113,303,189,440,
152,785,970,495,289,682,809,752,807,061,134,341,847,682,906,587,527,537,398,
021,308,663,664,631,202,377,811,215,549,026,210,440,156,706,823,517,978,599,
713,549,188,158,458,807,132,790,815,530,732,004,210,477,817,093,325,820,199,
775,946,590,369,146,425,487,238,397,323,606,463,311,152,204,546,180,825,664,
675,205,062,976,984,252,889,347,163,000,789,227,800,146,585,681,509,578,648,
384,564,232,565,860,029,661,090,099,210,248,535,233,440,309,485,493,115,389,
339,255,753,557,138,637,457,244,435,817,912,343,599,698,300,036,678,342,071,
296,709,101,205,256,467,698,167,588,150,716,741,327,911,413,497,813,490,578,
484,547,749,518,741,165,284,356,208,213,034,676,499,428,763,228,440,883,654,
911,582,116,233,926,688,025,165,982,321,506,722,055,875,721,247,997,044,349,
723,998,776,186,390,181,210,953,807,920,717,749,638,361,893,686,026,743,919,
501,931,059,557,105,599,490,113,620,352,616,448,429,903,962,969,129,315,053,
550,728,128,424,391,559,909,475,678,378,999,209,979,502,735,648,884,268,264,
750,746,405,992,676,933,965,491,799,226,541,338,356,795,590,761,458,957,102,
941,370,823,360,466,704,977,168,619,211,958,836,769,860,329,774,732,360,662,
345,018,093,303,334,360,449,754,230,941,863,556,326,194,739,985,433,568,178,
795,691,778,354,336,497,188,349,734,902,653,957,131,203,802,479,992,415,135,
423,407,891,341,326,026,441,148,757,142,891,305,843,773,052,576,297,620,753,
783,953,655,128,712,398,996,472,357,210,194,883,717,202,628,457,330,050,082,
098,738,522,087,673,787,255,962,619,244,749,667,203,771,826,541,645,288,103,
466,937,622,509,738,252,065,723,790,332,108,246,618,426,885,071,085,207,835,
802,570,873,472,187,653,949,422,077,784,826,265,201,942,136,627,150,512,512,
494,783,106,236,142,756,074,731,393,109,263,679,725,731,734,164,081,928,931,
484,898,521,563,923,306,761,175,029,770,898,736,193,105,441,400,977,232,885,
412,349,465,317,491,120,875,892,567,735,314,376,675,257,661,357,962,577,128,
700,392,698,673,396,648,186,018,261,007,082,177,746,602,356,622,524,359,735,
237,987,946,804,612,809,220,181,923,542,085,790,270,727,892,316,144,292,681,
164,703,339,126,646,262,042,079,414,002,678,940,592,091,491,666,287,110,580,
671,020,716,322,391,877,812,256,761,366,615,729,791,376,961,082,426,907,550,
271,140,610,611,674,068,502,273,259,190,278,032,808,536,529,230,388,545,973,
592,782,579,606,992,298,728,294,785,241,438,397,320,341,856,435,837,663,477,
199,783,358,808,928,935,233,002,403,307,583,996,789,594,690,410,221,359,590,
377,575,752,033,017,491,415,518,509,830,903,449,799,076,701,051,486,075,971,
621,426,663,482,870,310,626,217,447,942,677,020,385,721,214,180,115,857,650,
346,233,208,977,993,911,500,275,954,029,943,678,654,988,024,917,475,301,252,
892,603,229,981,658,330,614,731,526,320,952,812,232,066,375,054,710,385,700,
643,161,223,001,294,284,350,664,844,707,181,601,529,853,964,607,846,861,526,
566,624,866,484,725,117,681,640,672,304,987,597,453,084,248,483,580,315,675,
161,959,254,599,187,366,047,853,104,590,540,892,779,947,949,257,442,195,336,
803,217,680,734,636,571,690,331,631,390,126,510,931,334,244,830,406,981,043,
444,976,201,134,766,461,873,770,236,710,641,832,661,566,932,623,663,883,251,
605,425,043,653,348,656,464,568,638,360,138,325,575,660,042,684,645,926,377,
837,345,909,117,866,022,814,038,950,873,346,276,694,972,054,204,864,065,394,
867,234,555,957,533,820,702,433,955,486,627,515,144,534,248,516,229,096,059,
496,752,704,879,457,892,065,861,451,830,702,844,037,033,578,375,168,546,737,
682,586,094,245,090,057,580,750,017,597,322,410,340,478,278,478,395,334,071,
102,152,196,490,042,079,634,407,019,990,191,893,624,904,182,045,268,740,971,
956,370,016,557,322,412,131,736,771,025,479,170,211,423,883,949,865,533,117,
999,372,482,420,471,419,228,199,498,111,320,087,671,572,154,310,337,938,027,
579,109,423,978,859,107,833,683,078,363,535,728,079,828,150,902,386,656,356,
423,181,356,470,221,126,129,868,888,982,574,554,758,981,282,364,760,201,260,
558,636,898,453,757,913,103,513,412,495,166,276,000,768,784,598,741,244,061,
815,637,743,964,156,433,017,509,741,714,491,366,999,416,293,784,565,398,083,
558,279,287,787,882,641,003,985,310,622,310,392,073,823,746,350,088,794,613,
801,877,677,430,138,883,313,925,968,086,180,541,736,022,536,960,026,275,598,
972,184,211,951,079,512,109,073,620,506,778,760,184,458,935,479,575,937,501,
372,799,383,508,568,930,198,710,762,672,877,925,172,179,912,821,506,505,389,
189,829,625,882,275,645,564,914,141,908,770,287,595,737,200,641,891,910,016,
120,853,432,282,115,559,836,605,535,487,257,019,767,829,459,109,939,787,084,
669,862,924,090,348,674,284,094,880,642,081,611,432,309,309,799,935,051,069,
843,740,029,173,953,330,308,769,785,175,533,882,029,559,501,605,994,565,347,
129,741,216,813,963,378,710,842,776,063,018,820,763,036,986,413,807,120,065,
747,105,371,084,996,917,933,145,580,628,935,388,641,678,715,361,788,019,092,
781,158,207,553,757,019,726,734,495,021,415,099,320,480,733,717,936,062,912,
354,532,286,908,003,376,084,653,032,036,562,654,922,933,411,302,513,118,017,
136,912,866,350,856,834,784,433,163,804,770,300,571,550,574,597,757,254,247,
257,754,761,772,786,307,659,898,631,575,922,873,133,042,125,858,315,931,117,
534,932,856,882,636,288,367,546,281,208,870,681,572,435,020,097,389,940,626,
177,366,760,412,195,189,145,245,284,347,055,368,625,271,757,098,090,776,864,
428,254,747,731,145,383,637,673,756,472,496,244,692,243,860,951,152,392,696,
348,577,060,834,258,682,707,855,369,860,924,045,635,391,911,094,346,195,137,
708,668,951,720,157,402,339,062,759,260,183,543,087,878,138,890,638,346,538,
575,374,634,939,105,582,528,679,694,190,994,209,567,790,139,406,113,611,844,
679,886,111,477,095,602,151,248,864,250,803,474,437,584,357,027,917,831,186,
950,946,928,510,978,555,632,314,808,591,443,711,461,239,620,641,419,447,301,
486,547,256,268,737,742,781,571,579,964,551,905,298,043,217,268,283,904,464,
575,587,993,500,696,817,698,899,906,298,026,514,781,409,811,176,805,350,013,
733,186,722,184,275,010,034,533,891,483,070,732,512,530,032,950,853,562,822,
198,713,990,264,289,088,216,412,423,261,823,333,519,785,455,330,999,206,098,
152,122,417,568,287,382,443,324,865,201,261,091,436,828,101,866,368,728,313,
876,482,646,784,222,526,509,838,911,891,117,615,718,400,585,420,781,470,748,
660,356,909,825,544,746,389,746,719,924,406,932,754,062,880,347,055,536,619,
928,004,358,540,805,799,978,858,980,841,870,664,747,306,821,932,004,002,258,
408,213,016,136,140,243,468,482,794,440,009,074,136,299,301,832,855,110,704,
596,757,543,403,039,921,510,237,518,172,166,983,206,269,796,610,553,844,329,
560,893,037,785,590,830,286,700,784,644,052,719,224,083,309,714,918,652,711,
997,670,575,848,017,527,641,898,047,254,048,352,491,872,688,802,638,738,920,
398,816,898,656,548,694,106,274,156,322,186,546,800,179,269,793,237,413,998,
976,116,481,355,970,934,156,319,004,216,745,738,887,877,913,364,256,512,200,
719,491,338,571,514,260,152,796,984,608,912,596,097,611,713,383,289,249,811,
679,920,571,198,937,501,816,061,776,627,280,424,964,023,514,940,998,725,506,
516,179,259,017,446,853,346,046,765,678,767,780,399,498,811,802,324,079,095,
185,143,402,925,789,669,097,243,957,726,871,859,182,469,934,987,756,854,544,
468,264,807,186,104,789,935,735,185,970,741,159,064,528,800,243,910,459,109,
683,640,184,117,470,930,822,258,832,618,278,604,938,752,927,183,795,441,157,
634,167,871,088,546,688,443,540,729,340,638,025,860,974,876,193,831,883,851,
637,521,739,727,924,210,987,523,629,304,688,540,335,034,235,165,335,980,272,
084,691,074,914,900,695,767,750,854,309,036,513,962,893,549,685,488,127,760,
788,872,022,703,472,983,811,742,450,592,708,594,037,425,974,727,795,912,147,
924,767,271,778,030,459,326,550,331,085,597,463,502,970,411,564,128,009,632,
963,538,076,795,942,117,532,654,685,000,858,945,974,683,045,742,254,841,734,
671,396,365,386,883,336,116,950,535,231,021,375,447,695,123,579,178,669,444,
511,238,737,017,457,656,705,569,764,734,897,588,505,243,584,837,431,027,285,
185,361,671,357,292,080,954,986,067,182,070,633,457,277,400,636,267,077,281,
027,821,973,392,217,461,162,317,340,178,617,699,462,191,042,140,760,504,521,
362,244,212,536,489,425,087,281,109,677,602,106,511,991,157,079,016,587,183,
752,481,302,726,558,405,074,574,237,797,281,285,662,941,435,180,527,932,656,
998,479,622,470,976,005,353,190,729,791,699,846,278,067,879,543,361,285,714,
983,221,514,091,379,850,771,374,809,519,397,630,222,172,946,136,962,364,803,
932,687,780,114,131,315,145,213,479,754,555,662,908,312,834,391,071,234,904,
638,431,190,337,723,927,171,245,553,095,018,680,728,894,003,190,808,887,431,
630,458,109,649,013,242,373,030,142,402,805,225,115,961,236,006,515,391,663,
327,065,182,943,882,865,623,416,331,111,781,573,837,362,551,889,864,033,009,
637,364,012,857,898,491,154,171,622,091,199,322,053,917,916,158,679,546,199,
262,366,978,406,758,056,747,315,366,206,755,035,903,140,564,494,828,677,951,
594,927,285,290,412,412,245,976,861,635,105,475,545,466,940,096,267,197,972,
313,430,710,679,877,093,263,141,827,132,402,606,245,010,884,794,591,673,005,
211,102,066,757,443,708,425,305,333,336,381,983,288,921,821,018,330,838,946,
506,667,831,537,889,905,865,786,750,744,153,182,157,123,627,789,571,879,805,
128,062,088,628,804,616,993,368,945,042,248,198,327,545,345,597,980,523,557,
679,039,793,004,258,045,438,716,863,338,129,131,446,410,243,696,089,825,658,
365,658,647,257,814,027,363,535,912,511,065,504,438,470,446,612,574,745,170,
386,982,546,993,328,810,275,777,232,517,178,078,242,256,888,920,902,891,205,
311,144,546,613,473,373,582,821,859,698,730,273,972,855,492,619,742,729,088,
310,334,363,926,928,264,191,740,435,378,113,135,678,724,034,894,580,981,501,
375,308,012,128,587,213,002,251,179,692,203,089,274,066,777,772,086,626,534,
079,923,958,993,517,792,626,503,856,297,814,971,530,851,264,860,309,979,077,
207,338,305,794,191,232,658,347,406,450,229,262,373,834,443,313,306,524,809,
104,181,764,215,251,682,415,545,017,492,708,854,514,929,334,304,416,385,552,
274,100,803,034,897,711,944,726,175,851,310,346,836,342,397,231,326,590,978,
657,493,691,273,612,727,795,368,798,324,415,311,970,074,584,835,575,884,746,
567,582,673,716,462,893,038,816,676,012,575,939,876,682,993,029,666,690,848,
832,009,714,363,855,612,332,414,094,675,120,055,204,850,555,310,216,117,131,
338,193,665,527,679,003,945,445,604,037,220,651,890,889,172,944,721,940,182,
615,861,983,576,644,542,651,546,895,098,106,342,232,133,962,429,536,188,740,
717,180,571,987,941,915,545,936,087,428,872,255,722,625,188,100,139,394,795,
625,166,111,667,830,318,379,870,405,945,119,817,362,368,205,343,044,829,766,
667,340,767,490,894,737,988,929,762,402,070,412,946,970,984,945,010,312,999,
585,985,647,615,511,595,565,794,126,402,913,017,715,280,645,810,958,702,415,
338,778,332,144,844,782,593,345,940,122,266,170,306,437,000,041,795,348,779,
925,246,922,234,984,517,710,499,020,110,197,575,660,846,810,278,702,402,768,
740,306,219,057,452,341,572,388,627,086,041,820,589,932,335,377,874,648,950,
809,206,030,776,592,774,881,124,511,136,665,546,840,995,820,185,752,570,187,
249,441,148,344,696,541,364,471,067,923,417,422,031,027,659,251,335,868,945,
679,108,991,675,951,886,013,975,829,116,569,105,213,935,961,902,634,939,619,
710,004,061,088,817,649,428,961,803,821,340,313,982,203,672,584,393,056,799,
241,423,977,333,994,282,818,206,914,694,302,665,561,335,753,148,918,297,344,
814,768,909,118,637,581,225,235,894,346,628,934,710,412,091,212,614,670,289,
956,535,068,604,321,822,189,349,285,086,510,094,676,770,273,654,412,122,792,
191,037,105,597,678,282,133,815,384,484,003,754,725,964,601,311,490,598,110,
335,321,041,465,401,624,841,673,998,298,113,897,880,576,638,702,746,866,366,
525,787,922,356,291,768,441,947,067,523,580,511,553,483,712,189,977,005,401,
462,660,440,620,153,795,289,220,802,761,606,417,549,022,466,931,573,178,403,
118,574,805,672,542,399,611,024,301,588,243,238,909,966,062,821,748,245,654,
045,788,819,289,644,504,305,315,833,309,484,569,544,013,992,571,220,680,954,
298,021,534,536,749,349,096,911,169,016,889,536,448,134,532,583,574,876,018,
595,484,175,585,171,939,499,064,270,387,880,777,152,097,177,171,434,113,910,
618,801,894,646,006,743,908,673,510,206,972,600,057,454,167,476,505,141,095,
181,409,801,339,669,197,762,360,099,198,370,905,651,006,775,007,079,927,475,
477,263,873,365,128,843,374,410,003,418,013,564,209,822,788,440,122,107,539,
296,509,494,154,146,942,036,639,132,318,027,952,520,645,044,197,048,588,866,
249,633,964,216,184,443,391,600,484,850,355,157,831,566,937,804,135,399,963,
415,973,586,051,846,699,021,300,189,566,012,606,709,171,965,336,094,973,087,
180,371,216,463,368,607,453,616,236,455,066,329,757,020,402,369,628,330,073,
710,710,639,664,665,847,491,709,795,911,679,089,745,347,124,450,514,740,170,
669,207,918,872,412,999,605,963,018,154,461,466,557,424,992,863,649,185,507,
043,179,376,762,916,783,284,838,154,687,719,311,604,221,065,698,918,007,424,
515,725,836,926,951,311,358,832,673,618,548,689,338,036,536,834,015,011,079,
068,999,189,591,057,453,394,667,354,134,748,125,166,711,569,184,864,526,504,
405,563,407,625,298,771,670,698,682,472,822,043,698,649,200,291,324,147,929,
195,956,237,179,219,561,032,236,930,050,732,553,523,046,536,460,945,400,493,
764,659,853,118,885,542,697,528,843,185,002,159,660,957,715,826,805,941,219,
696,042,628,437,343,976,475,057,566,831,403,109,241,736,711,692,393,343,842,
239,651,432,097,024,049,487,839,244,131,366,669,275,987,461,905,725,398,615,
127,614,544,958,404,737,946,185,804,435,984,892,150,500,146,358,202,253,331,
463,876,613,503,437,477,903,692,075,704,984,882,617,437,151,147,753,604,138,
428,808,608,790,673,765,008,711,184,759,546,293,639,272,711,971,429,555,339,
720,146,864,053,237,540,590,471,855,321,695,358,510,801,331,983,585,667,416,
842,284,729,566,862,055,877,721,899,699,758,064,785,625,772,296,705,506,724,
588,787,137,971,179,938,643,337,587,271,344,477,754,430,821,553,558,711,840,
810,169,572,075,306,829,565,188,839,724,903,541,186,055,333,522,792,817,886,
305,799,284,319,631,799,947,112,187,713,749,318,457,460,845,893,941,190,307,
936,670,066,215,894,084,298,215,074,441,954,714,985,195,351,882,977,713,534,
577,797,684,504,177,455,889,484,734,640,660,858,603,071,575,999,880,446,345,
691,681,093,191,339,221,088,046,841,906,528,597,122,561,217,602,354,136,566,
557,786,217,514,109,913,632,077,167,556,759,460,647,742,868,756,108,727,044,
649,363,026,433,839,272,752,524,621,662,113,805,916,113,509,717,018,425,691,
027,750,253,601,600,862,188,053,114,714,078,313,375,678,863,498,836,592,254,
924,660,414,405,056,806,212,579,544,838,127,402,224,959,209,714,843,088,728,
568,354,430,766,784,826,226,708,147,907,473,356,374,028,015,371,858,572,682,
006,028,747,153,507,664,424,461,685,304,371,745,172,853,472,238,778,028,286,
487,020,536,979,833,104,559,868,026,304,482,659,064,989,921,682,512,636,645,
934,457,748,000,891,595,843,936,274,753,105,528,374,032,431,304,106,650,163,
945,474,910,100,988,979,921,041,552,368,029,774,147,289,692,253,606,659,315,
993,145,361,631,366,454,379,590,256,023,413,732,756,673,050,805,110,947,480,
046,681,646,520,517,073,801,289,983,999,671,401,750,196,736,687,492,770,899,
941,331,208,968,641,323,366,989,596,372,552,969,552,051,298,890,658,244,220,
896,815,413,207,423,387,467,180,839,174,612,546,486,208,113,674,310,134,175,
761,121,777,459,278,301,071,173,597,244,034,274,784,654,367,104,437,053,998,
490,694,418,660,614,303,441,395,290,964,216,307,829,301,068,459,751,797,312,
937,271,201,736,791,121,575,894,929,997,085,775,176,571,324,202,117,048,180,
730,821,961,630,987,449,323,268,813,053,140,849,412,339,983,552,740,165,394,
532,516,294,876,106,508,113,532,231,671,293,772,735,149,225,936,128,044,367,
461,895,464,904,886,249,616,369,296,500,621,078,681,329,306,555,310,274,675,
945,971,669,094,083,198,004,977,576,027,350,297,762,919,206,084,402,764,285,
324,055,554,315,648,912,096,552,825,225,185,525,614,994,439,701,881,509,433,
477,028,678,212,488,319,938,010,512,676,264,498,923,337,052,390,930,379,380,
073,072,295,852,054,050,031,488,289,435,168,178,779,895,712,690,972,141,622,
941,024,015,545,482,035,516,911,980,933,949,779,684,755,276,363,502,499,004,
382,547,129,750,322,928,477,415,348,727,071,179,142,103,740,780,217,445,654,
015,524,877,351,802,142,681,839,465,459,840,860,305,754,968,699,522,178,693,
943,514,478,312,519,584,208,481,491,749,823,588,653,420,246,491,843,722,214,
713,730,159,301,293,846,325,207,317,812,223,299,605,444,666,013,044,351,137,
437,651,125,557,215,875,685,201,271,707,077,325,688,397,178,883,411,929,569,
568,288,312,931,313,954,165,754,765,158,662,564,586,864,010,968,805,922,965,
150,080,158,825,607,513,848,582,555,524,748,635,014,853,118,908,156,859,104,
950,996,615,970,763,351,238,440,121,152,985,775,619,919,583,949,329,298,437,
992,045,082,259,283,313,947,058,459,936,214,855,980,032,334,494,226,604,022,
535,004,122,925,046,615,541,800,915,636,786,729,651,066,498,530,503,251,237,
822,156,071,179,035,739,729,522,611,252,228,419,684,259,298,004,864,268,251,
295,644,956,841,792,657,834,022,495,886,183,901,549,608,229,824,526,703,219,
105,299,639,410,771,434,561,922,075,541,190,258,874,764,983,891,370,770,022,
476,798,368,107,625,400,808,226,841,557,556,577,318,553,397,906,880,223,673,
887,349,512,739,120,043,167,253,976,855,160,163,208,354,464,692,131,083,545,
415,453,323,494,804,271,648,760,648,108,908,019,578,581,166,976,081,652,604,
216,130,764,802,220,818,380,303,796,081,227,517,143,576,814,969,991,312,218,
517,073,787,608,788,667,154,844,685,976,197,781,332,533,675,538,919,178,886,
805,903,100,132,000,882,961,605,594,655,819,751,414,322,198,353,560,177,932,
888,714,892,094,112,663,645,944,771,716,496,981,971,043,161,259,735,248,865,
819,985,716,341,324,678,121,159,741,832,250,831,309,792,776,657,441,363,075,
613,341,908,393,783,179,838,014,728,399,773,602,392,727,726,643,247,438,953,
691,929,826,680,841,798,399,683,951,326,744,686,592,034,040,662,402,813,565,
765,249,109,648,977,440,700,826,441,343,708,838,805,962,492,852,993,062,851,
546,828,912,072,862,351,561,649,332,336,101,273,494,537,881,626,620,448,916,
831,944,174,895,685,645,740,043,208,156,409,157,282,919,223,476,128,473,821,
350,444,495,496,529,911,905,877,984,843,278,282,151,152,160,115,707,400,170,
567,054,888,827,732,599,267,203,174,525,054,918,308,073,752,212,977,769,831,
369,355,421,636,594,220,219,896,020,442,072,505,479,470,911,383,935,024,431,
812,899,270,157,037,741,316,306,020,952,071,887,134,236,375,066,198,510,262,
707,956,091,286,393,501,637,647,656,025,356,069,398,481,130,910,752,736,999,
228,882,716,693,772,926,886,625,138,291,554,073,881,652,649,572,115,874,889,
876,025,978,366,852,880,411,155,839,758,379,779,387,124,277,985,837,780,339,
811,666,927,185,361,431,974,140,836,071,608,276,061,935,314,481,487,853,912,
118,537,006,706,963,527,645,568,004,458,016,162,513,308,580,317,087,627,114,
830,239,476,168,215,688,690,221,411,273,748,727,075,107,922,851,344,194,346,
403,296,627,105,477,127,293,553,071,249,875,815,041,969,566,775,444,432,581,
520,798,451,490,802,128,541,774,246,685,750,138,450,648,557,936,287,474,861,
980,033,910,450,639,271,003,318,217,896,750,287,564,710,768,482,538,176,182,
594,661,289,100,176,366,383,716,504,464,154,828,125,260,697,979,791,649,286,
570,127,396,308,096,453,996,790,288,124,119,513,526,846,228,315,779,589,576,
556,519,907,143,837,158,074,122,078,540,779,351,859,958,357,663,418,903,884,
905,921,347,337,663,038,305,327,777,284,971,787,025,388,092,410,344,547,497,
938,333,141,540,971,268,717,166,853,808,473,034,213,197,256,558,250,994,102,
339,399,349,777,802,478,323,971,044,855,235,367,755,591,937,845,202,219,503,
810,214,022,376,797,198,056,876,081,201,964,120,007,446,443,994,922,547,107,
937,271,097,371,331,893,820,000,892,216,849,118,188,311,886,657,362,963,505,
355,027,455,070,247,317,455,719,074,473,367,547,584,294,802,658,087,681,827,
843,714,873,449,212,345,205,314,279,944,263,794,840,667,913,018,661,527,814,
551,395,736,316,749,033,419,148,681,484,449,329,172,840,792,821,066,862,450,
635,700,988,336,022,321,488,542,051,217,815,667,927,351,797,017,947,158,919,
433,294,621,493,549,809,069,096,688,769,084,046,009,156,668,796,675,790,504,
772,301,793,740,230,613,187,814,052,903,499,602,094,440,316,669,279,942,198,
317,595,855,648,286,000,393,972,945,308,434,385,815,007,706,240,023,413,783,
747,641,773,664,136,290,869,139,569,639,619,001,970,671,348,456,010,148,562,
479,693,296,118,735,168,650,071,724,313,780,833,547,520,237,201,033,619,973,
242,052,779,179,625,828,783,111,089,219,120,841,333,451,193,941,027,578,540,
652,276,034,485,253,998,006,136,823,666,265,208,689,021,126,882,156,122,557,
465,327,228,833,418,621,644,754,600,394,216,604,375,480,655,192,252,239,400,
812,826,894,481,210,595,330,029,071,270,327,679,810,805,762,875,364,951,237,
820,635,343,526,197,003,014,756,162,261,654,840,080,218,634,235,178,307,094,
896,223,812,098,919,416,013,073,963,272,186,381,718,026,237,670,746,015,232,
799,754,806,390,284,211,293,973,228,016,662,179,116,372,545,214,207,927,877,
471,283,774,921,748,086,425,435,514,098,665,896,104,420,703,392,693,097,302,
266,661,307,804,778,265,038,513,007,960,712,101,153,426,197,548,282,241,062,
905,968,414,137,389,663,301,626,670,280,388,424,858,251,939,568,684,911,975,
679,782,967,306,134,785,356,759,159,191,826,186,895,570,612,065,932,802,315,
471,323,609,742,385,734,523,106,083,549,032,030,928,423,511,099,325,499,345,
117,964,608,997,346,504,746,328,196,842,550,573,878,529,121,316,758,956,228,
841,921,427,561,661,804,012,667,127,627,306,117,690,936,326,050,881,140,873,
222,472,576,992,187,854,973,806,495,361,779,920,965,128,376,007,021,163,436,
639,332,898,483,913,165,754,367,852,968,541,415,993,607,810,335,353,835,246,
738,491,941,715,464,858,479,226,604,950,477,313,649,198,596,762,639,579,449,
386,858,266,038,188,927,820,459,165,578,727,618,972,634,013,123,487,696,806,
358,093,103,795,003,438,120,838,760,191,295,294,654,019,960,859,198,234,025,
150,360,968,848,760,329,867,759,217,533,876,103,802,401,040,711,269,786,502,
050,158,505,910,537,636,650,364,340,464,271,535,834,425,193,591,270,587,549,
097,995,118,722,313,164,941,462,647,059,040,903,549,605,626,198,264,938,142,
544,857,353,741,679,940,796,213,078,947,101,019,441,277,516,776,504,896,648,
545,117,983,439,494,571,924,061,940,768,613,287,933,791,791,928,755,790,203,
995,166,487,584,861,677,432,025,360,947,978,076,033,738,844,505,792,345,076,
807,275,495,436,266,455,578,740,076,643,426,008,491,932,334,449,939,242,337,
266,041,309,499,414,623,968,294,831,769,340,669,844,784,163,652,516,267,409,
818,161,917,404,311,961,812,222,667,812,994,138,484,602,658,948,581,979,219,
656,878,661,500,676,401,553,902,000,540,383,772,517,409,052,381,731,263,376,
986,195,893,900,169,550,453,873,674,629,637,025,909,364,299,874,868,711,378,
357,987,022,009,616,551,958,544,352,139,629,515,402,644,600,568,287,193,721,
570,284,128,504,709,991,242,160,461,915,794,966,472,718,736,349,635,234,917,
328,387,575,183,840,029,848,056,223,256,392,323,721,306,097,169,248,284,675,
517,743,082,526,348,825,614,107,921,122,519,393,368,589,865,555,613,698,904,
704,436,387,587,087,442,054,983,420,170,540,860,435,992,304,219,358,870,259,
404,117,669,322,102,747,417,360,290,353,354,764,685,938,021,464,624,172,692,
447,498,860,853,219,089,530,964,385,258,512,811,338,380,067,000,425,083,710,
727,557,537,605,273,652,269,449,541,409,638,313,631,486,655,911,675,834,187,
196,727,243,045,128,078,174,311,463,025,588,649,272,841,298,627,246,397,895,
565,486,162,516,846,345,150,923,785,936,336,293,470,000,909,370,989,673,906,
333,173,298,624,862,281,878,669,174,154,339,598,799,851,663,429,437,412,253,
679,055,679,133,093,559,909,910,683,601,138,306,635,202,064,747,848,049,737,
101,415,033,135,227,210,509,435,548,804,323,025,858,035,980,514,243,577,298,
739,088,505,400,588,904,187,234,425,705,760,992,539,411,908,393,853,625,967,
616,125,861,253,296,400,096,043,481,404,492,980,127,444,437,915,541,296,061,
572,979,101,667,250,209,518,081,588,665,577,096,371,407,773,810,279,014,426,
456,174,518,471,469,865,039,439,760,909,557,662,971,836,582,331,899,713,137,
185,912,035,132,655,095,418,195,988,154,523,814,247,026,675,036,609,898,288,
331,992,996,662,300,843,318,796,642,552,002,928,487,585,165,972,386,443,634,
401,753,970,214,049,570,626,287,678,314,663,716,238,259,532,292,106,040,386,
709,027,773,009,787,133,291,868,898,401,269,376,258,225,771,257,447,148,637,
586,297,743,131,184,868,553,795,798,300,622,626,136,567,809,504,806,458,094,
577,245,152,347,785,788,324,546,099,794,639,531,575,137,025,811,390,494,085,
378,120,462,828,537,209,214,869,290,535,048,180,071,823,177,140,468,030,810,
154,137,102,507,198,951,960,713,075,666,542,071,906,592,584,494,312,472,072,
232,664,057,951,016,096,275,639,792,384,746,722,157,217,508,237,214,820,407,
168,379,350,653,173,900,091,008,601,215,244,008,083,659,067,758,313,024,209,
086,668,486,449,460,395,332,795,368,993,074,041,457,434,688,689,613,636,193,
146,830,010,929,193,213,197,402,144,169,476,342,695,615,066,139,983,055,717,
571,997,527,767,405,339,280,230,268,124,622,263,857,958,889,769,015,872,524,
389,617,923,552,646,748,335,537,328,082,326,683,094,667,644,446,887,982,901,
220,240,051,065,596,744,190,327,103,515,024,342,273,779,411,582,528,291,215,
647,938,622,413,993,124,469,008,880,270,880,201,148,959,559,607,135,059,335,
959,703,068,429,040,987,886,277,292,352,822,099,193,517,333,500,098,672,872,
376,579,766,635,464,587,048,807,791,382,013,930,935,517,642,751,886,510,800,
321,464,823,089,975,542,796,759,946,303,436,019,895,689,389,320,827,394,318,
781,465,888,219,543,976,694,400,054,320,533,192,975,398,691,198,439,223,378,
152,812,132,328,945,861,607,143,079,073,531,325,363,773,935,876,543,336,984,
562,118,718,523,648,511,213,622,734,936,147,305,391,056,890,335,640,536,813,
777,681,221,569,085,773,773,028,953,058,866,985,782,742,552,307,432,646,531,
523,278,204,921,635,977,650,782,329,930,822,259,139,338,178,874,667,752,001,
287,130,519,501,812,871,181,799,217,648,913,005,490,208,435,841,089,074,778,
742,097,232,177,785,220,627,425,275,865,222,022,930,429,501,307,883,124,868,
139,299,957,256,331,744,672,492,765,010,542,967,730,291,162,645,514,525,588,
905,337,830,825,593,338,966,521,172,398,002,660,105,817,162,947,585,725,219,
507,720,443,308,966,349,023,888,679,223,363,407,053,686,699,548,315,278,290,
776,319,325,270,410,539,611,447,819,730,879,975,392,916,480,841,459,091,091,
869,803,112,438,113,071,244,784,885,471,506,492,297,580,322,736,860,738,545,
800,090,673,943,863,494,930,748,596,075,154,803,775,599,356,511,699,664,525,
913,185,259,041,390,752,294,814,271,163,841,565,726,113,834,014,521,020,303,
991,055,477,761,143,404,526,068,649,626,253,760,993,549,299,912,050,243,383,
296,839,298,593,743,045,376,821,288,271,882,398,410,626,506,582,249,640,166,
713,187,652,381,565,397,158,317,001,951,655,355,363,928,113,035,127,770,709,
575,300,429,825,871,213,671,497,592,328,826,836,750,416,298,008,947,167,501,
375,936,737,190,015,257,897,302,324,905,483,426,068,841,961,237,036,066,583,
874,911,607,925,563,276,798,456,616,461,407,240,063,611,936,567,168,753,001,
235,733,537,981,075,457,693,738,790,120,947,383,029,900,766,140,436,913,376,
003,929,988,592,783,483,535,928,378,537,931,425,774,307,721,990,584,781,240,
640,990,740,374,354,610,975,081,322,589,338,260,385,613,199,293,131,559,880,
939,588,080,741,825,751,827,036,712,024,230,228,453,841,418,165,098,733,730,
210,862,207,855,434,867,079,066,364,006,380,526,411,150,844,399,274,763,463,
031,390,671,460,282,974,979,184,586,550,714,589,740,581,800,884,679,332,518,
417,209,699,987,907,622,683,380,667,824,225,028,152,900,355,338,358,787,257,
423,845,148,212,172,185,435,724,653,024,980,005,565,205,680,527,103,337,223,
075,916,994,272,975,321,572,355,668,467,705,699,558,879,440,769,789,714,104,
274,098,960,576,099,834,164,665,614,407,515,694,426,911,122,687,182,000,160,
427,040,774,705,422,395,888,059,103,460,805,507,215,636,623,800,912,202,811,
715,447,781,761,660,498,411,743,280,711,337,640,038,152,022,584,598,920,352,
228,998,260,839,920,013,894,483,885,790,732,679,422,736,741,151,237,416,962,
735,073,233,434,408,901,780,338,569,682,043,651,022,195,606,770,860,697,743,
435,743,190,937,509,443,251,634,487,050,941,803,826,945,671,206,907,059,989,
538,700,591,186,811,324,410,381,317,036,450,304,258,775,171,166,040,563,847,
178,369,887,981,023,099,666,721,984,030,259,097,610,672,305,565,616,461,414,
407,456,978,555,723,768,865,014,556,856,015,353,037,806,424,734,211,097,151,
773,546,805,783,861,529,256,200,143,758,195,441,788,366,236,655,240,721,637,
421,690,612,604,378,905,158,729,874,255,147,924,151,725,854,320,709,913,416,
251,047,044,570,645,319,991,994,472,502,011,086,832,430,977,733,673,366,595,
830,521,947,964,989,062,786,701,428,656,464,799,157,282,382,478,738,669,738,
269,893,605,205,678,819,649,959,581,570,251,067,637,206,380,014,812,126,555,
826,234,055,019,491,181,530,255,405,733,456,333,883,158,069,934,818,792,079,
937,253,994,720,773,954,953,174,091,964,489,776,791,849,712,519,683,774,900,
700,685,126,289,424,343,118,502,325,780,711,454,886,276,994,657,383,115,655,
112,031,515,812,887,512,085,649,437,270,378,632,870,652,545,707,292,348,876,
512,891,852,884,407,115,712,466,748,889,121,049,036,238,839,289,848,310,644,
419,543,738,773,268,527,755,037,148,270,172,403,636,432,612,132,252,488,606,
402,550,388,424,919,543,770,686,068,736,268,015,556,056,783,440,051,230,147,
241,381,071,525,341,276,634,471,244,223,691,992,046,141,418,351,645,397,853,
338,843,188,435,371,533,763,645,849,577,587,045,057,883,633,759,200,394,272,
509,642,541,147,743,134,200,855,004,679,417,691,508,002,624,147,957,548,107,
279,222,278,758,282,472,327,205,516,401,806,250,169,064,757,529,554,411,271,
871,016,519,545,599,773,028,608,397,203,037,209,088,059,807,299,558,144,491,
136,911,211,773,804,590,409,208,900,703,268,285,890,129,870,716,802,527,985,
554,972,513,908,053,359,963,956,059,891,796,816,718,054,752,210,179,493,979,
572,461,634,383,148,135,776,519,197,080,996,483,272,265,221,483,550,495,933,
787,743,542,159,358,368,091,843,103,768,761,844,685,602,623,379,756,290,722,
800,255,819,096,772,105,555,041,757,745,757,448,722,834,609,893,876,654,977,
435,167,425,152,907,069,100,527,246,904,586,049,614,765,296,664,170,836,477,
087,386,582,983,827,994,557,801,503,185,898,458,749,835,463,903,900,690,069,
771,985,605,177,007,550,457,925,876,213,188,064,018,283,479,821,832,435,015,
006,524,992,493,380,904,709,048,356,951,583,579,160,209,786,348,998,442,806,
259,296,385,782,266,259,533,213,268,827,128,852,375,860,532,288,410,169,880,
776,383,166,650,420,611,378,060,472,019,042,433,665,854,080,421,418,650,097,
166,691,013,293,135,917,847,687,356,329,770,172,377,709,723,034,080,188,662,
596,425,154,562,093,488,697,502,163,979,098,711,263,781,394,450,625,735,468,
539,608,670,250,199,014,479,210,893,593,313,953,523,352,096,956,584,604,090,
599,213,116,997,137,235,855,570,126,057,494,588,847,133,738,498,976,961,902,
281,683,382,616,650,235,615,102,532,669,886,631,811,000,848,942,101,733,711,
477,298,845,884,284,756,242,784,355,052,460,149,342,107,718,511,546,728,218,
733,825,076,756,401,943,378,169,406,316,649,675,803,549,759,981,879,235,439,
547,827,801,082,611,272,816,334,587,828,304,570,379,822,878,027,519,148,657,
488,025,244,820,692,672,238,908,317,485,300,272,005,107,614,680,132,031,541,
257,217,815,472,591,251,861,180,453,871,179,264,622,272,699,656,300,132,085,
712,791,841,688,609,235,841,086,289,226,474,303,821,316,370,199,456,054,885,
913,912,056,690,943,389,022,771,451,350,134,760,220,488,489,130,622,937,697,
130,646,166,249,199,287,897,519,118,623,268,840,099,409,208,459,235,854,733,
151,897,123,782,317,197,628,223,453,246,360,164,000,709,191,777,175,515,516,
956,822,114,235,273,531,568,803,208,336,144,306,271,021,155,256,458,870,609,
997,470,705,155,317,191,181,364,156,855,390,810,634,460,080,289,666,273,671,
287,055,353,670,914,894,523,833,660,083,170,267,772,647,377,258,792,394,695,
083,991,344,239,134,127,222,508,491,616,172,565,405,328,979,695,270,368,575,
679,484,373,169,529,194,806,664,946,694,109,025,701,326,567,774,652,988,994,
511,478,589,516,661,448,958,318,544,216,195,416,016,317,475,469,566,142,441,
443,062,587,035,184,196,721,416,496,473,669,652,570,645,303,588,504,251,744,
908,949,438,164,635,872,221,831,788,021,169,614,854,252,405,700,900,241,970,
059,050,642,198,221,690,902,437,138,422,354,673,739,390,907,928,320,619,541,
772,754,685,871,362,304,557,639,040,923,766,035,446,484,133,110,040,415,868,
940,245,918,366,100,807,125,757,278,045,542,872,526,166,898,971,782,762,772,
527,257,084,956,822,127,261,077,333,202,896,351,511,063,121,472,953,651,002,
984,696,615,055,833,793,176,275,401,012,008,028,826,287,226,226,482,950,359,
303,246,544,725,497,554,250,612,188,317,842,444,673,123,382,460,239,851,306,
069,386,702,572,114,262,942,881,937,851,466,940,147,714,212,078,729,558,584,
297,358,598,645,367,952,276,352,355,705,492,998,621,536,193,607,414,796,983,
596,941,471,239,595,167,938,877,383,745,930,618,776,240,346,216,284,271,399,
990,515,910,869,153,168,182,698,081,589,358,356,598,985,868,560,201,551,595,
104,638,354,269,540,862,699,337,526,034,841,556,025,507,005,361,302,647,205,
541,450,928,349,748,541,812,508,296,552,809,574,524,721,024,798,261,259,965,
846,245,290,646,164,373,385,544,086,324,922,918,203,128,474,633,969,196,848,
320,892,203,298,424,387,512,381,271,605,566,614,368,663,426,414,822,557,248,
745,685,037,946,451,061,133,421,535,963,253,064,316,379,053,049,949,948,966,
935,426,958,223,851,594,336,658,500,029,069,748,986,485,079,597,846,481,661,
777,580,920,796,332,997,166,517,832,819,577,541,054,253,193,556,879,979,262,
739,352,122,814,228,085,486,309,329,504,991,498,091,148,247,845,971,411,340,
839,708,618,893,536,791,843,486,597,473,745,944,590,252,451,006,974,236,876,
892,385,154,301,156,607,027,567,619,494,562,363,447,379,007,631,454,255,408,
009,121,892,345,846,909,573,919,664,998,676,436,331,241,339,747,187,410,120,
141,880,715,977,458,355,706,263,104,534,917,215,543,643,568,188,122,243,481,
515,584,037,742,022,652,020,790,174,080,232,152,089,080,973,662,447,177,274,
323,244,003,418,297,027,504,290,406,916,427,746,723,002,779,193,657,913,185,
490,652,076,827,172,386,687,278,947,924,392,518,100,939,456,421,298,751,591,
331,397,652,658,345,723,544,699,531,734,721,913,021,730,498,865,415,058,208,
004,972,939,821,263,207,800,683,046,372,981,159,854,029,119,164,789,679,354,
288,722,983,643,750,894,819,905,501,544,320,111,442,552,187,480,410,667,308,
680,520,738,668,753,197,269,734,868,689,745,385,493,655,797,967,976,005,860,
111,991,100,318,608,892,777,872,393,501,009,770,324,601,535,829,230,633,467,
592,491,255,897,041,060,976,465,960,925,761,533,825,871,820,813,659,402,400,
622,691,263,393,034,979,503,109,169,576,216,709,140,642,936,218,199,136,307,
210,828,374,848,369,790,053,337,398,024,140,394,416,405,059,295,522,096,931,
640,007,181,845,854,009,022,402,499,628,202,571,769,957,466,265,177,926,098,
451,394,892,851,112,388,068,803,214,670,991,896,730,429,072,368,569,205,973,
907,879,034,101,822,141,819,450,029,646,588,228,893,290,228,413,744,292,143,
439,849,879,751,214,212,416,932,670,910,842,237,140,868,500,806,025,493,848,
857,928,732,167,277,700,695,512,052,630,140,674,885,300,436,483,432,855,260,
328,417,141,947,238,936,782,406,591,492,347,704,183,758,341,968,694,614,044,
692,494,106,870,530,539,162,540,871,189,146,282,431,142,341,577,891,559,289,
761,322,880,851,985,979,865,030,582,711,671,511,718,031,067,833,842,662,643,
335,554,238,559,079,969,434,664,718,348,277,847,726,736,626,173,592,779,958,
180,219,344,015,410,901,626,426,676,136,135,411,090,462,440,910,312,386,344,
102,352,029,496,840,824,856,010,204,784,214,500,622,953,069,193,142,386,473,
786,111,809,281,408,123,822,863,889,530,039,954,266,715,975,643,439,177,373,
624,427,686,853,902,529,473,238,455,022,097,106,183,591,301,360,484,218,191,
588,857,319,818,059,354,486,874,462,000,426,561,078,528,638,992,823,509,343,
969,830,491,475,473,453,650,509,863,609,372,971,886,853,351,600,696,012,813,
251,824,903,462,815,883,564,770,329,059,635,888,840,707,556,968,897,847,752,
485,393,185,434,574,814,507,255,756,932,516,937,229,144,908,919,509,059,407,
898,416,179,935,176,898,340,067,270,839,690,492,084,884,731,436,838,042,887,
289,361,007,251,545,998,718,977,927,131,569,803,821,424,429,732,508,953,611,
307,012,063,920,179,442,253,006,948,154,496,794,289,891,373,658,397,840,518,
474,346,884,054,048,035,237,877,255,504,026,320,355,099,272,884,214,051,481,
527,812,224,126,460,552,503,898,374,247,901,714,391,223,233,986,135,698,917,
140,318,617,542,566,927,763,761,952,753,983,721,049,995,300,631,438,030,028,
814,861,234,072,687,615,524,773,903,152,920,637,750,688,782,150,228,720,703,
697,291,984,710,175,033,391,308,389,610,124,769,085,139,101,057,302,236,355,
471,115,054,583,612,290,962,427,872,545,302,694,637,092,171,887,356,156,014,
492,256,981,227,044,763,038,027,070,953,277,900,500,208,731,170,591,327,609,
055,266,577,771,073,709,448,838,678,380,570,125,252,917,894,190,226,534,198,
029,854,357,207,279,841,879,977,211,559,814,865,114,184,943,107,270,464,004,
831,626,930,162,595,109,387,721,514,347,648,167,293,526,448,913,395,535,450,
689,352,562,306,793,238,106,996,850,515,719,446,870,142,813,915,665,727,730,
744,768,556,207,767,619,757,046,272,654,088,022,256,846,964,832,797,204,929,
631,988,580,751,521,209,663,240,066,537,094,162,536,884,843,805,350,353,843,
947,298,469,677,752,604,223,409,054,587,869,529,740,028,926,611,154,460,158,
308,931,376,485,505,503,011,573,358,425,495,739,510,580,665,042,517,261,864,
254,121,873,043,899,875,639,392,227,418,783,015,806,686,940,698,219,549,193,
409,812,675,334,023,255,653,945,221,334,208,660,774,899,549,551,756,213,906,
248,368,573,064,292,930,298,518,447,248,870,521,688,561,269,739,154,019,492,
626,051,053,441,544,038,199,067,478,690,924,055,206,177,307,666,885,013,178,
762,896,719,286,856,018,004,268,609,318,023,023,313,511,085,542,299,923,539,
009,320,287,646,847,523,573,226,226,970,600,382,521,955,177,031,173,504,910,
239,908,080,031,951,946,065,300,836,474,427,588,081,915,907,747,265,281,870,
346,574,174,000,767,089,047,115,363,439,196,571,536,819,641,466,072,673,029,
704,628,873,683,685,572,221,419,367,236,618,045,488,079,410,828,471,236,941,
504,598,263,846,717,835,025,262,579,284,874,619,461,897,161,983,535,286,474,
117,445,206,035,009,997,768,820,186,818,384,889,290,318,775,530,071,242,486,
570,744,806,309,403,019,610,588,131,721,890,763,164,323,990,579,026,412,245,
586,744,479,145,964,799,506,597,160,859,326,862,075,543,201,412,038,235,984,
871,068,124,699,552,106,004,680,807,837,707,462,864,214,589,795,382,363,590,
044,231,945,719,919,713,925,373,721,648,020,582,223,734,906,079,210,083,180,
825,295,611,166,746,098,395,164,047,285,440,314,486,537,980,832,455,784,956,
187,698,883,996,306,911,199,220,634,718,644,568,399,667,468,950,970,454,101,
369,807,883,061,653,571,959,115,550,959,112,563,355,591,989,964,536,939,346,
334,118,344,989,898,640,623,089,235,726,899,267,542,967,132,684,843,766,941,
579,103,719,952,073,917,149,451,113,594,072,054,737,350,868,015,426,368,798,
084,272,628,869,258,487,683,255,385,426,210,351,280,390,963,693,250,862,637,
312,018,024,041,994,206,914,717,790,734,756,520,995,791,554,938,831,188,463,
264,398,062,536,635,324,408,025,816,739,410,355,772,154,407,423,225,421,120,
261,486,685,296,532,503,252,950,740,087,582,116,273,544,914,474,490,165,908,
734,874,108,516,271,556,793,104,241,235,213,831,913,330,459,354,707,540,315,
601,203,466,658,841,423,388,913,354,630,865,894,365,645,207,558,106,803,232,
467,579,433,053,670,456,924,473,563,307,554,431,312,797,757,205,902,791,535,
506,743,257,212,286,350,637,232,595,788,753,701,615,900,069,778,591,218,800,
663,709,367,502,492,169,173,205,160,851,265,234,377,580,251,194,894,153,794,
607,518,239,181,575,551,095,276,008,035,694,246,313,285,301,993,541,455,515,
106,335,099,384,054,809,365,000,664,382,823,581,446,940,524,890,216,226,060,
750,959,561,897,766,779,487,014,776,935,731,112,293,909,625,828,970,420,352,
138,372,366,487,623,645,077,210,870,360,511,556,279,529,409,621,074,884,028,
456,267,551,613,454,808,055,375,716,081,231,389,665,020,699,748,014,119,488,
500,625,390,718,598,287,885,796,989,625,156,736,458,951,417,715,264,659,971,
780,620,496,782,319,405,081,578,381,366,790,027,037,711,687,696,862,233,801,
959,450,425,390,260,411,377,165,236,794,654,115,700,752,202,057,631,125,221,
576,240,958,506,210,645,144,343,801,540,846,173,871,917,054,615,488,143,445,
273,489,422,694,449,847,552,679,360,759,422,608,881,275,557,106,931,751,566,
152,976,441,402,891,577,652,048,282,121,886,190,434,631,029,505,062,098,925,
545,251,019,450,330,699,748,347,170,438,378,570,011,840,181,665,489,163,051,
478,568,951,926,547,666,944,448,059,452,589,574,954,270,479,802,073,348,361,
192,287,991,700,437,096,825,234,054,792,654,264,771,920,454,863,017,815,239,
819,462,145,464,053,265,659,344,687,426,321,052,265,963,778,187,001,326,906,
656,445,822,355,789,194,510,081,657,366,791,900,668,156,841,943,602,731,735,
731,693,429,042,794,311,850,248,882,011,106,267,181,041,251,644,745,407,209,
954,893,986,707,203,779,043,831,407,076,851,191,298,465,172,058,047,875,195,
310,618,995,816,221,241,336,838,797,654,009,078,561,437,591,977,352,422,635,
377,830,608,350,730,513,295,685,564,122,571,940,333,871,208,125,504,291,652,
675,277,345,943,541,893,909,937,150,305,789,314,308,640,326,458,764,409,822,
010,691,987,392,621,338,384,890,079,127,840,530,284,244,241,997,565,329,125,
505,106,397,448,080,948,281,369,647,790,247,728,394,101,328,129,566,787,346,
361,205,677,619,229,203,706,879,686,431,749,864,706,439,329,419,638,352,716,
922,005,840,030,977,295,447,872,988,642,272,507,096,553,134,397,852,029,093,
912,816,078,851,227,996,268,833,429,851,903,592,040,093,444,712,577,489,625,
484,281,832,630,556,416,003,908,252,511,991,789,970,686,412,768,514,620,272,
903,603,890,604,410,780,671,195,283,516,314,582,482,430,757,838,594,095,299,
635,476,339,153,497,982,208,415,941,404,982,466,637,446,089,292,533,772,563,
783,267,308,761,180,231,192,369,460,085,738,455,414,670,816,263,613,462,832,
770,635,963,650,846,480,785,274,034,683,890,424,873,884,375,514,741,713,202,
240,772,516,709,293,594,605,475,416,001,570,084,140,667,136,105,499,010,976,
351,197,780,453,982,567,903,534,320,418,585,105,815,084,842,357,402,761,858,
371,317,593,435,831,051,904,774,883,580,005,230,251,053,839,649,166,356,716,
753,411,458,336,559,735,709,168,147,353,638,835,464,485,645,681,732,689,160,
582,015,168,389,610,820,889,079,638,692,110,007,483,889,840,942,853,198,695,
562,275,087,264,455,772,436,264,358,061,885,942,541,194,338,521,828,619,652,
853,657,251,972,566,664,028,809,269,584,486,003,661,183,840,184,908,426,647,
352,645,070,233,441,559,930,485,720,248,552,687,187,513,173,901,274,711,821,
031,979,280,117,335,749,600,678,674,065,369,098,077,123,764,259,640,202,693,
714,830,264,043,921,177,170,975,798,883,681,592,825,388,787,947,631,128,949,
522,555,358,770,910,488,172,399,560,212,717,823,840,321,156,590,695,320,788,
076,655,157,352,001,002,626,954,540,440,394,839,975,641,575,857,771,372,211,
071,452,232,350,271,804,129,058,427,499,844,170,403,350,807,199,783,557,237,
573,534,399,914,007,236,561,327,716,540,307,127,834,291,627,750,091,945,868,
331,319,636,319,373,194,295,192,981,371,202,726,844,598,773,441,850,762,299,
220,272,897,494,210,823,088,684,120,401,079,486,395,373,853,279,524,861,981,
996,006,355,664,363,405,781,897,736,841,153,307,790,925,018,147,021,594,250,
972,461,980,776,033,150,813,254,738,495,888,319,787,983,184,505,152,904,894,
613,558,479,362,685,755,899,668,942,215,397,221,404,446,265,470,059,842,512,
947,066,655,151,526,873,814,869,903,002,104,963,713,243,573,581,423,511,459,
809,942,729,328,027,049,466,327,344,689,660,037,361,520,585,583,089,173,266,
046,361,382,503,979,123,812,193,919,938,596,584,504,044,515,997,025,318,900,
556,620,154,710,053,678,476,724,492,180,537,762,239,271,648,179,843,506,832,
193,640,137,568,207,388,186,229,964,068,508,631,121,126,373,283,054,283,039,
693,730,249,430,432,537,525,209,237,468,057,161,607,186,022,055,451,228,015,
126,056,282,877,305,814,064,222,477,999,523,323,909,496,877,244,583,017,039,
173,308,463,281,388,454,424,234,574,018,756,523,341,080,844,031,006,431,943,
441,868,534,126,950,746,272,454,586,507,085,652,364,613,082,684,650,566,247,
062,717,630,791,395,239,424,819,666,035,393,061,550,076,499,464,016,196,402,
801,285,640,395,868,337,710,067,757,320,162,866,470,477,462,531,696,629,179,
474,944,179,446,078,070,754,699,679,244,956,536,753,819,542,493,402,347,648,
911,614,321,885,692,664,718,664,769,159,313,055,491,245,169,972,575,906,336,
319,339,885,567,244,770,278,878,920,082,346,675,350,191,087,037,979,760,574,
330,085,639,609,820,486,206,973,888,759,789,116,653,609,532,867,753,487,029,
735,521,944,475,182,960,048,168,120,007,299,534,744,398,950,882,088,712,630,
872,869,866,703,279,866,569,006,674,647,036,187,722,646,323,976,215,094,166,
347,966,953,278,285,587,139,864,886,413,845,090,450,355,558,718,997,359,119,
252,106,387,852,401,684,054,164,464,521,314,211,632,192,707,100,970,826,770,
718,407,150,408,284,905,304,617,076,380,833,059,616,932,180,406,450,523,541,
126,729,682,047,366,724,875,318,953,246,578,294,814,831,492,179,394,213,829,
412,858,244,517,384,951,731,983,112,504,048,538,047,086,787,807,054,315,000,
346,904,719,420,899,749,286,485,910,247,611,164,222,369,030,728,925,471,151,
429,371,737,616,992,582,766,775,419,410,713,183,124,761,362,401,995,504,711,
073,502,432,176,425,263,689,376,572,084,882,169,112,207,075,049,315,072,653,
634,086,668,852,437,676,455,011,114,160,557,485,362,874,859,598,617,848,876,
713,953,840,856,538,664,464,735,862,340,855,401,716,731,225,111,152,654,569,
361,918,403,138,716,479,568,795,604,173,008,106,594,069,746,557,231,888,365,
943,654,708,271,482,244,397,634,415,606,918,186,247,332,466,028,889,447,333,
713,980,909,551,254,111,541,264,056,136,975,494,663,352,230,829,085,854,977,
494,668,770,709,811,707,590,517,603,094,005,967,301,899,823,520,148,406,306,
722,234,340,492,845,336,020,830,825,810,597,625,570,539,038,170,141,809,955,
530,347,798,830,831,708,167,698,740,437,515,992,530,120,769,378,814,917,454,
033,343,006,476,404,937,035,134,644,465,675,820,216,281,396,099,585,290,846,
745,852,722,666,784,014,409,560,633,089,099,549,285,463,780,612,884,193,957,
741,639,705,508,089,032,586,311,974,500,423,402,576,507,323,859,547,917,091,
214,212,845,188,406,176,954,370,219,614,672,017,673,465,126,463,509,899,557,
250,315,320,258,705,858,581,955,886,010,160,942,950,096,048,564,876,612,824,
632,610,573,738,904,591,818,329,735,850,581,141,329,450,329,400,715,588,909,
386,741,484,844,244,647,435,687,390,355,612,632,246,866,425,067,180,012,125,
037,562,622,937,134,930,147,210,856,742,041,063,339,536,396,295,271,018,166,
311,838,854,875,836,784,916,438,945,671,778,517,273,686,347,145,260,787,510,
799,553,183,666,508,611,538,169,874,793,569,915,092,645,355,083,094,852,514,
176,305,713,025,102,075,481,517,204,009,757,875,448,072,481,434,056,401,580,
302,827,813,936,681,228,659,940,217,079,594,469,683,420,797,702,800,208,829,
603,351,384,625,576,955,801,837,510,947,507,136,946,024,854,536,840,766,529,
561,330,068,328,474,904,226,622,587,907,962,394,341,002,058,122,695,986,536,
015,974,664,218,091,524,135,072,706,079,813,240,095,767,524,607,277,833,108,
242,154,862,231,762,080,893,250,753,534,101,227,069,158,676,189,800,106,051,
551,619,720,410,774,623,272,403,773,284,949,097,394,863,888,602,811,529,552,
408,396,406,294,292,483,662,252,141,861,402,734,023,926,700,908,972,738,597,
570,632,382,660,879,364,932,022,389,654,362,669,627,482,782,850,133,102,367,
619,258,486,485,058,319,422,937,984,935,427,236,616,419,920,352,785,750,421,
135,547,820,948,835,345,795,937,117,051,914,072,569,193,951,208,886,545,908,
903,852,531,999,074,665,852,087,823,989,487,936,308,876,158,879,465,081,409,
872,261,558,512,650,522,142,084,574,481,461,118,743,179,405,142,889,473,322,
227,790,434,457,622,755,234,140,557,477,961,531,771,204,535,423,192,375,268,
761,670,745,881,611,977,693,089,750,426,650,127,501,955,085,971,534,191,575,
444,955,456,473,136,078,982,260,279,178,297,401,623,901,297,201,460,912,015,
934,891,422,652,731,913,643,321,206,796,993,325,422,102,407,764,587,808,389,
122,822,630,196,623,673,105,991,487,411,280,273,049,634,396,799,170,590,166,
409,638,409,873,108,708,018,188,520,030,201,104,532,160,090,255,359,583,534,
501,033,522,341,500,484,992,441,231,447,837,708,364,831,890,970,558,111,655,
904,181,609,523,272,542,600,063,609,333,680,855,157,498,057,852,662,720,515,
176,865,052,863,996,890,630,628,522,747,902,947,502,101,841,794,890,318,302,
800,749,238,156,425,488,389,564,113,737,805,390,801,542,427,030,171,032,249,
879,169,467,373,527,288,918,057,189,675,751,088,473,410,658,370,506,415,075,
752,901,024,803,400,092,447,555,893,234,782,605,195,538,300,105,072,316,832,
040,948,008,611,490,708,954,245,512,485,006,822,086,580,705,587,303,443,245,
319,132,452,701,150,763,483,697,648,936,226,114,902,837,686,539,351,030,097,
752,022,529,211,349,084,919,078,518,134,396,030,331,856,284,064,018,475,865,
122,174,145,515,756,987,761,334,460,559,778,653,839,650,082,202,465,661,743,
039,366,562,616,065,400,743,627,869,737,764,742,660,689,884,484,537,899,926,
400,450,527,705,127,559,845,782,167,197,904,958,731,985,531,051,642,193,675,
979,625,545,927,158,609,123,144,137,878,478,456,219,902,277,631,561,580,511,
180,263,355,815,141,850,016,180,661,265,649,276,282,569,973,214,575,647,645,
020,734,082,263,642,084,749,393,802,884,455,869,093,111,569,116,316,920,528,
131,812,818,980,614,690,440,316,597,673,834,448,123,126,955,802,553,806,190,
840,371,536,039,381,466,348,627,356,285,284,929,877,755,438,460,784,817,301,
014,342,593,154,515,119,807,995,087,116,919,041,405,230,116,691,457,431,913,
151,652,781,342,836,622,052,826,565,012,774,495,506,171,937,989,936,206,799,
116,810,612,527,420,827,267,706,780,514,255,531,449,932,721,970,824,081,361,
269,723,149,355,306,391,866,703,002,045,531,388,852,412,669,286,318,204,892,
990,345,110,926,274,940,606,867,598,548,946,055,997,940,326,255,338,174,562,
851,243,415,903,866,779,242,882,417,556,040,366,746,381,008,821,041,691,175,
831,001,284,658,647,445,630,171,476,049,808,503,593,763,881,195,865,753,322,
489,926,391,800,022,819,439,536,008,162,128,762,558,618,512,219,988,572,299,
241,761,535,162,960,182,976,219,091,942,889,629,611,159,864,498,476,311,956,
867,680,519,151,820,253,730,359,506,397,539,278,199,240,847,711,226,079,211,
504,242,917,587,436,022,727,085,673,893,236,211,251,185,584,425,005,943,778,
104,811,928,559,323,963,769,676,200,027,109,681,228,214,629,749,254,943,982,
468,616,904,763,145,290,808,183,685,173,734,869,260,750,776,768,569,488,484,
996,348,689,391,142,749,232,558,804,605,595,155,912,583,774,311,842,336,998,
803,463,768,746,689,635,729,756,889,805,381,609,324,721,110,984,563,251,764,
033,255,096,447,172,821,196,847,169,209,547,969,948,370,662,148,960,806,158,
209,158,570,457,873,213,021,034,294,985,233,513,533,452,140,894,937,043,131,
767,274,604,769,109,867,497,050,543,725,659,537,002,562,377,734,952,064,750,
219,850,364,840,011,331,525,276,499,026,182,164,143,011,236,752,942,138,489,
340,976,677,486,563,000,168,318,523,329,477,144,104,569,950,934,321,078,029,
265,945,731,568,461,325,914,336,214,765,185,110,941,698,356,838,222,398,877,
610,861,245,402,909,003,140,846,905,350,091,167,849,708,168,011,711,244,812,
442,001,211,797,026,722,159,945,319,962,739,158,081,367,118,202,068,403,488,
491,141,795,616,911,482,723,285,547,174,360,502,862,035,274,441,506,372,415,
693,732,810,679,599,686,907,124,829,151,052,800,580,310,816,207,915,739,238,
828,594,633,319,572,488,758,839,998,987,786,010,290,606,780,945,817,692,581,
575,573,043,571,233,314,806,419,101,062,886,193,182,507,381,372,363,140,764,
031,443,488,950,730,310,373,939,519,000,310,852,432,997,746,604,176,934,577,
647,329,029,182,451,491,986,763,351,204,798,713,504,860,483,881,963,379,761,
018,450,825,371,543,180,967,573,904,319,357,936,854,368,968,905,512,421,844,
896,308,301,961,744,267,650,159,473,032,577,383,930,108,440,620,367,284,822,
403,304,240,707,333,934,535,549,950,282,264,171,927,113,656,936,992,694,712,
408,893,619,260,123,244,875,329,465,114,770,317,792,097,861,405,652,244,518,
698,297,414,679,687,515,604,123,592,606,212,528,910,325,291,155,673,183,338,
623,448,009,880,813,003,470,488,189,385,574,142,839,056,316,687,982,181,064,
099,538,856,597,912,598,395,119,559,986,516,073,358,707,850,897,120,073,866,
923,013,767,305,863,211,755,891,205,433,927,813,998,701,980,454,845,716,113,
110,394,726,589,314,689,203,732,382,740,073,804,107,032,569,810,172,998,828,
919,208,061,037,283,492,095,542,504,162,337,854,799,679,389,692,242,794,803,
714,449,944,360,022,472,908,226,139,827,914,219,244,191,457,476,227,492,797,
415,483,203,724,581,037,608,033,631,796,648,069,772,093,353,591,650,346,073,
974,458,564,624,436,069,947,458,622,945,796,208,621,569,689,690,340,966,880,
854,110,205,091,014,591,635,848,769,845,259,405,296,546,452,764,893,235,386,
227,578,922,168,811,468,713,485,354,132,221,198,553,867,772,005,237,993,440,
891,182,964,602,774,430,336,882,938,679,898,391,766,909,162,521,468,468,633,
162,726,242,261,801,244,783,186,077,300,210,194,329,601,113,257,535,513,925,
158,454,748,001,932,336,990,471,153,144,998,576,878,477,779,587,248,739,239,
225,409,923,492,159,369,705,564,605,821,493,028,961,608,357,472,251,265,158,
287,706,539,224,668,478,514,974,399,443,982,028,191,172,658,222,906,146,867,
866,182,587,813,414,417,726,226,141,788,762,283,492,768,430,718,267,810,959,
331,578,997,788,163,219,226,103,880,082,629,916,836,134,846,426,546,518,106,
586,102,447,913,514,208,239,762,905,798,021,347,292,466,475,466,009,798,103,
855,888,981,956,532,492,315,278,445,671,522,973,164,442,123,966,350,318,797,
565,283,970,401,566,252,032,260,645,935,731,020,614,461,161,392,973,326,869,
672,161,368,309,661,421,252,462,930,696,335,052,307,488,645,489,912,887,261,
555,086,056,876,339,760,748,104,608,765,041,759,332,890,481,341,771,221,595,
692,580,490,639,814,183,352,333,357,243,522,509,903,028,556,660,048,894,608,
658,755,385,831,744,046,157,011,042,339,063,921,267,768,849,435,040,174,223,
820,974,589,765,274,695,481,056,821,788,692,560,890,240,685,894,212,589,841,
667,730,080,572,438,951,928,494,256,862,629,876,041,159,966,674,496,618,861,
509,510,326,558,196,041,241,332,282,646,650,485,641,034,528,576,003,085,658,
247,226,835,040,760,461,888,727,177,959,662,441,862,323,624,716,240,918,634,
155,386,860,388,907,733,996,064,035,944,700,637,937,509,911,405,079,294,047,
811,170,346,492,610,050,211,082,616,107,989,368,819,803,383,020,050,284,007,
979,657,903,032,201,527,241,438,338,222,491,665,593,402,637,519,224,821,835,
144,341,873,444,783,506,544,813,225,038,361,866,991,681,581,628,688,850,015,
587,946,992,733,018,621,916,072,755,792,112,942,636,673,177,022,904,813,580,
825,529,054,601,614,330,299,287,976,660,103,369,701,421,096,499,331,594,071,
264,717,171,942,459,732,221,772,534,497,914,100,952,611,785,381,966,806,746,
614,291,858,129,281,931,982,900,898,642,779,832,083,097,154,178,934,764,439,
015,797,970,020,211,522,774,002,815,126,077,475,220,403,096,847,969,733,622,
628,080,942,021,993,809,143,573,129,725,968,240,217,710,381,254,530,865,922,
355,921,476,192,044,259,153,959,976,211,953,851,868,133,958,345,708,322,240,
453,064,926,785,745,107,174,969,095,159,990,472,620,830,597,704,372,523,588,
174,299,057,226,138,445,945,931,158,385,185,834,351,341,714,200,747,760,625,
036,362,384,384,589,948,147,363,436,943,544,341,137,506,665,030,357,124,182,
901,717,260,371,571,813,197,433,919,650,618,741,636,838,572,463,230,329,352,
162,773,066,277,871,683,989,771,030,864,675,631,759,566,273,488,737,621,709,
387,964,140,995,771,817,700,245,282,360,515,395,095,507,972,056,281,468,878,
136,876,996,651,283,857,527,028,869,836,131,726,443,924,249,105,557,233,802,
610,157,136,601,437,330,573,772,344,778,206,547,513,711,389,197,867,571,353,
299,527,548,442,969,345,966,478,221,104,739,330,969,742,613,526,505,308,292,
350,962,814,104,978,281,642,313,005,257,980,784,073,097,230,600,134,049,832,
519,770,810,054,986,526,150,593,077,815,075,216,704,423,058,774,926,508,442,
498,378,891,221,746,137,893,515,594,093,989,849,921,335,178,778,240,456,983,
562,346,039,772,495,232,209,086,584,004,286,950,085,594,401,865,087,614,193,
409,699,093,764,572,367,383,555,569,790,767,222,584,856,719,165,264,452,633,
738,244,731,189,743,544,142,054,326,672,414,771,750,855,031,114,913,620,458,
206,920,563,873,382,150,152,296,276,227,448,729,936,293,772,115,487,258,642,
501,529,480,405,670,814,715,775,951,243,045,771,268,800,787,086,588,132,677,
137,078,511,430,700,192,876,663,580,256,341,397,903,465,224,870,025,670,519,
635,916,041,818,145,839,026,481,704,528,104,315,893,038,824,957,565,805,954,
334,626,781,253,867,012,611,351,173,780,366,518,540,049,930,284,123,622,607,
155,092,690,324,814,957,361,113,603,075,962,798,844,094,207,227,537,380,798,
011,055,768,136,652,541,903,747,708,201,780,593,587,150,764,721,478,796,365,
690,481,984,754,853,644,636,291,327,740,866,574,708,668,548,858,857,935,297,
962,174,972,584,468,202,949,926,863,347,515,028,100,632,893,567,511,200,592,
843,136,794,841,352,070,318,277,336,117,476,150,423,544,836,346,708,820,526,
810,617,600,576,275,503,218,801,456,535,045,597,954,275,695,078,717,638,559,
088,966,691,544,847,915,816,073,564,539,663,097,953,556,479,300,764,027,099,
479,870,197,485,866,136,096,027,716,085,453,033,968,177,286,692,392,146,742,
209,779,059,404,449,533,592,694,482,906,127,586,410,291,035,921,394,768,562,
170,321,578,630,025,298,998,451,249,642,872,930,028,021,298,912,262,241,647,
766,364,332,797,017,063,693,688,141,413,508,752,531,769,593,130,528,837,162,
859,257,297,065,460,595,067,794,811,612,076,905,992,685,934,277,552,330,272,
197,926,392,096,379,408,512,086,723,012,830,521,627,714,531,871,059,845,396,
180,019,422,346,799,817,169,462,563,946,707,440,601,974,464,699,450,922,949,
212,684,652,394,739,920,770,519,177,066,174,245,894,905,358,989,812,915,472,
691,502,018,884,672,802,765,268,797,223,622,844,552,742,218,924,748,798,481,
758,823,283,632,550,320,472,943,864,012,170,628,309,915,081,603,274,853,580,
179,596,219,005,150,518,930,243,045,473,212,046,569,015,031,875,005,801,025,
777,471,718,339,888,006,784,135,176,203,667,060,558,901,394,624,454,276,895,
004,116,736,310,229,372,071,115,156,018,819,971,672,149,009,368,838,169,514,
682,402,473,320,072,982,396,864,205,237,945,505,944,009,691,143,676,792,808,
923,987,070,667,350,855,042,633,399,811,166,242,464,295,227,892,922,084,848,
139,114,158,911,999,769,558,573,395,789,774,792,714,470,470,938,616,650,192,
685,230,887,522,700,933,185,776,578,604,310,522,768,220,827,224,548,935,418,
823,499,204,894,816,009,502,827,511,571,670,029,873,695,555,427,365,134,278,
944,543,583,971,602,047,724,480,990,291,218,064,238,640,737,782,406,499,822,
996,313,344,934,423,532,272,263,450,204,115,580,765,118,356,189,901,841,473,
824,346,033,113,621,225,311,396,481,076,580,429,555,660,516,712,445,118,867,
061,026,445,709,892,925,938,246,759,434,643,180,265,395,163,957,449,612,710,
416,067,108,865,669,487,406,570,111,828,280,867,778,634,754,967,500,350,169,
222,697,290,101,498,421,931,839,562,307,938,887,064,547,550,593,046,747,621,
360,268,017,754,977,796,455,841,152,350,624,172,576,720,001,921,501,480,228,
294,105,736,309,673,572,607,851,541,344,229,283,487,554,275,557,203,629,226,
698,994,051,862,390,412,022,300,567,365,599,613,940,564,958,103,451,056,042,
512,332,939,869,196,099,403,693,905,739,500,767,790,098,976,666,884,785,774,
052,473,999,176,883,986,183,340,589,320,135,452,142,354,421,875,473,990,790,
687,734,390,887,041,646,107,501,759,678,161,169,466,275,827,940,895,685,960,
766,813,772,965,837,862,038,897,501,886,171,004,171,784,177,283,706,709,814,
544,578,936,436,287,819,313,794,989,897,715,093,848,434,903,459,130,770,443,
779,446,785,954,904,320,404,060,283,494,193,572,228,557,336,584,651,875,583,
771,780,191,077,463,214,638,400,176,696,992,864,429,794,979,889,124,550,970,
539,798,558,655,021,899,447,274,788,110,142,268,930,852,029,066,594,020,769,
924,457,754,896,107,207,712,508,398,670,429,625,714,042,307,610,365,851,045,
161,578,173,641,303,069,002,800,869,458,482,625,181,033,162,271,576,275,474,
054,768,227,348,363,107,438,533,815,958,616,390,521,588,076,217,214,966,216,
016,043,956,289,456,581,723,570,246,713,998,672,125,511,796,131,234,555,081,
387,830,615,891,931,145,609,286,227,139,926,296,795,947,561,990,050,665,100,
117,561,779,244,212,444,844,834,704,408,551,679,454,857,820,184,497,178,823,
562,253,710,285,268,438,919,294,727,553,218,125,671,329,023,384,892,387,597,
135,886,665,078,676,769,474,765,825,034,784,642,218,728,955,122,055,922,657,
635,064,347,852,797,545,844,245,135,669,996,388,508,054,945,250,825,972,849,
637,126,613,827,273,258,442,703,174,758,472,892,162,698,467,910,403,583,707,
234,991,255,638,575,411,528,584,438,074,811,554,451,366,650,224,475,966,977,
925,449,970,383,809,280,930,959,243,893,923,264,277,906,646,398,091,900,347,
587,452,808,522,427,463,739,917,746,225,551,186,418,249,816,921,533,505,856,
899,284,299,441,199,677,664,104,137,053,735,937,378,205,216,183,311,616,847,
057,540,765,099,669,028,791,584,249,618,834,908,614,145,013,385,422,307,254,
918,713,847,402,259,171,545,286,904,286,973,811,219,212,659,481,491,932,528,
618,037,745,990,442,374,401,744,329,774,931,448,591,365,156,261,768,799,023,
369,626,113,443,160,264,828,434,642,067,992,169,268,182,606,671,561,698,360,
132,421,250,616,013,963,702,989,125,893,549,387,958,245,638,054,694,914,364,
536,952,524,311,726,969,005,891,023,651,256,850,009,396,569,736,466,549,587,
643,355,803,769,330,883,462,682,543,760,453,661,965,980,366,639,309,187,374,
518,389,291,263,227,736,755,712,429,633,047,875,925,036,384,825,584,341,364,
975,162,059,392,314,144,072,960,852,072,450,732,649,712,112,529,361,682,751,
283,124,802,177,955,981,204,073,703,992,995,636,610,918,489,609,377,909,390,
061,047,693,951,271,307,823,172,948,780,975,835,450,682,499,584,377,616,338,
311,777,958,090,594,447,273,946,561,359,563,811,189,347,269,100,504,053,347,
015,246,327,671,072,512,669,308,385,003,961,047,845,844,439,159,575,211,721,
672,519,265,361,535,643,089,560,680,287,241,203,212,496,776,915,515,806,314,
412,451,259,463,023,790,662,715,210,081,233,987,290,561,927,699,267,913,054,
440,024,699,950,495,570,074,058,781,236,682,280,459,217,819,606,823,567,598,
103,902,893,608,880,704,332,573,255,874,612,066,705,423,759,394,779,972,842,
148,406,494,353,138,745,880,959,110,193,399,243,726,250,266,632,823,503,320,
227,084,817,410,155,841,883,289,033,349,953,586,536,943,498,488,889,242,451,
704,462,682,626,015,829,066,663,775,934,777,381,648,750,637,336,034,411,235,
124,170,907,146,179,262,192,950,142,746,104,340,871,150,206,663,745,847,386,
221,064,157,768,613,542,935,548,641,385,903,101,132,950,805,535,834,431,724,
389,529,405,865,374,351,891,759,080,010,752,951,164,789,075,654,574,578,386,
944,635,296,923,861,190,965,848,067,186,352,608,178,418,615,820,688,419,360,
618,481,520,857,910,364,394,648,227,723,042,266,259,354,069,022,335,663,256,
991,928,667,733,084,014,239,384,638,674,756,748,160,547,266,222,659,511,754,
682,588,653,982,333,976,773,999,686,270,577,395,872,672,882,254,103,551,276,
980,774,255,729,671,350,693,307,100,004,431,094,184,859,206,547,310,589,264,
028,225,894,235,604,582,985,855,606,080,366,765,282,250,648,899,316,979,906,
139,172,999,219,270,123,462,417,725,999,942,420,391,230,494,556,758,268,128,
874,844,294,449,887,076,577,034,417,629,573,554,190,876,598,845,350,790,938,
211,323,256,067,106,146,908,552,456,356,769,967,861,932,356,562,259,173,101,
623,642,847,470,658,134,131,183,126,959,383,037,288,993,326,705,966,407,798,
580,607,776,547,829,178,283,190,159,790,952,362,000,977,433,240,162,453,218,
987,760,649,186,648,405,897,449,164,206,671,456,618,134,400,577,316,296,420,
926,325,632,390,796,962,022,841,931,271,844,961,871,046,600,847,211,540,574,
086,776,417,653,405,148,054,748,294,693,288,219,917,361,398,687,530,456,548,
244,425,513,949,684,389,975,393,691,200,472,073,080,327,829,328,879,456,694,
717,339,844,391,384,367,183,800,126,102,114,387,127,054,172,990,873,458,661,
788,079,957,866,381,228,852,272,361,179,623,532,705,201,071,678,326,962,962,
992,171,444,529,863,726,543,419,047,992,654,417,309,437,920,211,836,828,507,
784,619,971,978,080,993,263,517,825,183,794,373,707,689,511,572,015,455,963,
548,774,625,212,200,093,787,619,408,150,519,801,428,834,432,263,074,708,198,
495,379,725,549,162,939,030,766,998,420,207,680,732,485,493,138,526,664,964,
034,014,485,880,217,936,453,785,987,911,528,745,685,062,140,565,578,161,258,
014,778,721,265,897,916,048,512,454,420,895,768,405,893,743,064,299,343,175,
723,103,955,744,572,820,191,684,142,279,038,521,238,961,134,505,805,956,992,
787,234,311,896,267,485,401,923,895,787,031,761,992,492,771,975,265,489,306,
257,762,708,896,965,837,549,448,301,813,284,408,070,523,515,429,388,769,204,
050,323,461,058,189,199,390,190,399,129,013,753,721,064,244,518,643,151,784,
095,535,458,538,670,672,642,409,466,234,807,075,245,807,247,599,110,989,705,
827,578,053,651,206,616,959,075,778,680,276,150,046,043,194,858,895,436,787,
095,012,909,116,216,119,600,915,077,129,084,816,793,749,217,222,523,332,033,
893,755,114,316,768,388,417,453,512,187,016,169,463,547,173,916,447,839,302,
084,495,808,214,410,820,353,691,146,429,724,505,458,226,237,299,436,164,819,
808,072,256,648,940,988,750,049,250,005,527,737,081,788,665,897,547,671,936,
159,848,590,384,992,275,380,166,074,156,679,926,819,013,110,946,680,278,659,
037,388,469,286,352,304,228,649,860,912,214,217,484,726,054,094,297,102,630,
697,639,450,880,753,672,887,676,445,883,187,755,923,237,845,258,046,008,043,
363,852,700,679,400,236,134,407,071,672,975,739,870,451,961,647,632,523,763,
628,776,574,631,396,495,646,027,675,043,880,983,995,227,996,983,004,942,099,
908,459,082,328,289,254,793,103,138,418,639,048,649,016,113,383,204,484,060,
262,767,600,375,322,017,782,872,140,074,706,033,038,701,301,287,812,148,479,
695,760,183,205,982,662,465,879,048,243,792,181,042,555,333,913,669,841,786,
257,706,964,905,242,261,078,856,712,203,736,083,618,290,209,973,064,291,710,
352,366,692,450,526,615,710,560,153,102,922,593,603,391,709,912,157,339,869,
309,348,909,502,315,967,098,410,134,680,668,956,673,943,122,174,357,412,546,
933,692,630,443,236,609,278,115,829,478,723,694,463,294,998,242,264,749,168,
981,122,564,851,650,216,382,096,145,854,325,145,677,400,880,403,178,160,298,
531,310,273,694,313,579,721,235,792,940,122,135,142,835,666,782,971,875,850,
893,993,097,514,278,229,078,168,942,506,686,833,503,177,492,259,164,838,604,
104,448,421,405,005,835,634,534,471,371,998,759,149,355,620,378,904,201,493,
848,464,824,768,823,204,566,352,978,079,400,699,459,272,533,538,683,824,939,
705,904,495,286,915,930,046,061,563,808,154,335,145,675,174,727,340,818,310,
943,917,763,528,319,470,628,283,708,068,141,316,040,478,847,256,429,206,427,
717,027,160,363,205,271,988,645,184,034,234,057,930,999,500,012,978,988,117,
351,084,800,626,528,327,746,999,637,100,665,891,682,225,261,939,104,219,378,
736,430,991,393,018,933,260,418,482,093,664,951,022,132,415,590,720,571,819,
176,798,042,946,003,359,492,257,186,304,110,516,814,730,783,040,601,235,156,
903,790,952,587,471,542,957,034,672,428,325,021,642,210,016,297,166,216,118,
668,813,262,579,020,248,620,924,104,665,064,691,311,868,600,670,474,371,202,
774,196,222,773,145,296,646,747,466,534,105,145,511,441,025,416,986,166,400,
031,610,362,088,549,522,782,238,914,597,342,181,000,336,373,725,455,513,141,
900,786,177,303,306,779,816,600,160,574,219,035,751,931,486,668,132,806,157,
049,000,934,483,781,797,226,181,288,099,225,587,095,525,549,746,173,812,319,
965,144,419,055,486,635,868,269,451,590,508,722,293,535,087,257,341,050,654,
649,860,995,405,244,886,537,294,134,818,059,183,073,516,801,245,273,952,693,
008,947,481,062,704,731,132,132,178,909,069,581,798,564,723,113,672,875,848,
813,398,725,351,987,319,605,758,357,162,283,460,950,400,968,701,151,393,285,
623,235,278,102,705,417,465,327,544,735,724,825,442,494,540,475,181,400,739,
246,474,868,071,710,023,657,647,737,705,467,620,087,100,949,576,085,852,727,
337,179,132,552,267,778,212,066,191,718,712,646,489,978,236,604,742,379,197,
868,444,076,833,786,781,994,751,627,331,929,910,807,548,720,651,998,414,491,
239,644,976,119,289,873,909,565,019,695,238,592,163,200,611,101,097,979,075,
762,890,435,391,934,499,592,053,298,113,062,483,483,747,593,057,539,977,177,
940,804,365,569,132,590,344,975,713,548,248,441,571,228,899,609,454,487,622,
088,187,650,428,680,810,240,697,599,326,299,358,232,518,642,701,243,779,574,
008,831,723,509,638,706,619,762,516,914,417,090,700,407,815,296,360,750,730,
191,215,300,791,764,375,302,166,024,615,118,270,168,826,768,927,281,681,605,
722,159,678,738,997,156,173,938,923,384,320,113,205,922,757,286,672,850,252,
922,065,373,864,159,043,567,278,856,107,667,020,511,249,467,130,040,396,646,
477,730,184,232,814,031,521,417,805,381,631,071,164,880,004,382,423,899,873,
248,690,443,295,497,259,685,321,568,674,237,317,233,636,637,260,817,165,369,
887,649,233,394,778,856,032,001,837,178,652,456,227,535,604,591,462,957,027,
161,189,343,448,433,140,883,185,371,672,858,836,715,860,958,279,123,243,321,
018,452,131,312,520,141,050,600,734,796,374,941,585,413,526,210,542,924,871,
595,920,257,002,420,793,472,234,435,970,820,686,685,126,403,654,607,291,404,
230,760,247,130,657,344,983,412,018,608,317,662,540,690,389,700,165,432,658,
778,352,756,263,286,131,423,313,425,801,861,604,064,051,434,020,709,725,292,
231,717,168,067,167,446,759,125,531,780,185,300,743,181,368,921,233,005,646,
974,375,410,213,487,554,611,858,721,572,123,110,094,336,135,344,723,077,643,
865,308,444,642,210,692,091,899,677,399,834,215,439,975,893,352,159,130,955,
279,058,925,473,145,037,680,686,459,304,501,158,251,852,667,153,613,873,130,
014,031,164,149,161,211,350,378,060,184,917,271,355,226,645,893,336,249,534,
589,667,218,178,968,382,007,879,888,475,406,204,791,252,997,346,900,753,135,
554,972,004,282,944,535,349,751,301,258,903,945,018,179,326,792,048,643,641,
144,506,351,454,863,005,965,581,432,061,451,026,479,888,785,140,294,514,827,
489,273,457,640,363,832,512,764,425,356,173,444,542,740,243,798,815,036,058,
811,736,548,446,955,056,654,820,835,983,255,241,349,766,585,723,424,665,299,
183,216,785,581,720,127,326,376,885,068,701,719,203,105,688,286,924,337,045,
638,530,767,573,505,291,504,597,987,539,587,535,924,762,666,994,737,940,296,
273,403,636,204,497,551,135,504,976,777,419,146,340,185,983,539,169,898,011,
810,546,746,420,135,684,888,731,944,970,157,389,116,696,369,706,237,201,839,
230,574,431,560,377,556,587,310,201,870,401,977,833,132,418,698,046,737,267,
764,872,555,439,527,830,371,636,383,216,062,556,782,606,796,932,337,597,021,
162,937,526,956,437,309,174,640,172,328,434,743,563,799,055,676,135,855,690,
889,560,703,133,146,453,489,149,202,056,466,858,845,806,880,662,182,221,606,
178,361,853,667,863,804,692,409,413,793,270,945,144,990,520,828,302,380,791,
218,080,482,543,820,552,822,939,139,332,081,114,335,575,316,632,334,734,245,
932,708,936,741,806,949,778,025,130,817,549,157,778,803,904,427,489,040,778,
726,419,899,103,439,201,343,220,787,112,851,592,840,226,810,383,345,878,701,
760,981,501,671,396,692,588,454,497,483,781,434,146,539,099,333,745,129,315,
946,793,881,287,481,497,212,961,330,220,244,947,054,939,628,994,955,314,814,
886,102,532,741,031,114,348,245,011,462,017,397,914,908,603,361,682,159,510,
620,560,849,675,152,086,375,233,641,009,088,387,386,998,442,342,892,128,386,
381,820,285,851,410,452,625,162,786,953,217,525,261,496,158,083,386,614,348,
936,781,786,233,724,990,975,447,309,388,546,165,425,009,535,935,989,403,138,
124,239,588,661,344,617,629,158,595,050,735,650,086,086,485,670,462,993,480,
106,761,182,072,688,982,704,936,709,461,770,594,465,871,590,787,247,959,557,
755,515,468,356,650,272,634,137,964,211,701,764,456,420,567,024,935,578,396,
207,483,839,215,905,844,353,802,354,535,896,416,363,720,879,634,990,566,680,
079,832,150,473,220,508,423,459,604,342,612,190,999,657,279,089,571,472,735,
640,697,745,885,170,655,635,679,107,622,160,597,744,231,064,645,351,873,899,
249,509,694,641,147,646,392,629,663,275,620,526,196,097,321,789,195,305,464,
263,841,832,310,241,382,238,271,461,459,185,541,823,712,791,250,233,609,922,
820,528,149,896,620,373,171,577,845,461,425,978,950,121,113,624,236,289,007,
142,331,038,523,930,697,210,473,825,414,553,308,215,450,428,550,815,816,698,
819,632,008,867,738,645,495,679,383,785,136,090,775,600,033,324,339,967,225,
860,833,170,383,390,828,706,011,953,558,495,443,279,282,217,045,808,887,584,
792,845,069,005,058,230,340,595,178,668,971,046,806,020,523,921,173,200,236,
791,799,407,267,579,706,475,688,951,599,590,361,187,507,600,145,616,439,042,
424,717,737,562,052,826,959,329,532,003,355,895,720,986,282,340,229,261,076,
897,660,245,153,095,582,027,534,539,443,876,973,472,677,945,625,286,299,309,
283,026,846,355,738,642,068,247,045,603,608,396,653,292,206,171,035,981,847,
182,614,028,000,874,326,428,846,684,605,369,718,775,734,636,523,967,997,628,
317,237,173,181,600,226,004,076,965,539,322,376,433,817,388,434,307,992,663,
425,148,965,780,833,644,072,164,338,643,768,284,828,692,052,948,201,067,599,
085,102,668,815,295,888,143,675,311,574,793,256,737,405,538,898,361,756,907,
043,953,546,159,634,757,414,201,443,210,285,768,729,487,671,454,777,640,157,
088,876,098,510,394,828,079,708,970,478,646,922,004,661,974,991,875,149,783,
044,353,546,666,045,015,700,582,367,960,958,460,686,459,135,826,409,620,110,
924,318,478,132,834,382,664,150,564,561,992,303,083,119,705,722,572,043,251,
624,855,547,045,115,904,573,469,628,974,732,122,987,798,891,945,451,036,599,
808,888,646,319,159,850,520,802,375,212,363,509,435,635,562,574,815,575,114,
297,318,048,371,698,161,686,585,672,232,080,099,637,169,930,885,952,748,712,
988,385,894,994,945,050,519,943,386,042,879,786,421,515,341,026,417,843,434,
845,728,951,621,271,579,952,585,246,103,858,085,906,487,758,804,777,433,442,
923,288,858,631,930,103,391,582,318,719,252,179,489,689,269,785,993,192,463,
075,873,263,146,591,464,313,302,334,510,600,857,390,625,700,868,379,319,995,
850,906,271,484,063,913,550,592,320,221,793,494,473,640,191,195,043,851,320,
406,817,551,475,565,457,244,111,751,606,136,992,873,391,542,447,988,725,265,
299,496,596,640,825,588,180,131,244,300,266,737,993,496,892,393,539,450,627,
598,570,643,644,770,008,676,368,629,907,476,708,547,725,052,580,411,145,627,
922,054,184,041,224,218,121,894,243,580,445,824,571,333,044,197,187,435,893,
629,509,348,273,668,710,698,758,001,090,722,323,044,252,510,696,705,161,117,
545,328,416,129,861,425,352,271,069,270,995,197,783,345,683,166,983,386,959,
808,489,485,193,155,914,235,072,082,526,814,002,969,353,801,212,882,747,897,
985,635,946,475,902,238,384,711,608,500,561,056,090,682,140,655,559,763,024,
774,013,644,954,134,105,799,077,653,745,382,844,941,325,265,683,311,299,828,
618,071,382,672,799,214,336,474,562,341,680,998,157,990,466,709,565,858,826,
766,298,234,819,460,674,911,482,054,279,992,715,856,807,846,330,227,798,077,
582,502,147,651,363,856,362,688,889,850,691,320,697,784,739,615,350,113,351,
034,131,573,465,348,610,142,423,218,085,357,133,543,880,115,944,876,603,239,
114,899,389,609,812,279,634,562,427,074,746,154,276,846,169,795,108,572,787,
255,635,626,192,743,004,612,768,534,131,082,966,605,119,526,621,070,969,102,
677,773,381,658,338,014,817,605,294,892,027,387,185,202,229,054,600,942,898,
716,888,616,623,900,993,799,134,239,254,659,305,785,874,327,185,082,913,091,
713,641,590,683,069,195,886,441,618,361,908,557,956,663,982,558,894,164,714,
845,546,770,035,414,834,205,820,804,495,508,602,719,520,062,900,941,492,637,
824,262,802,678,570,770,865,820,311,982,370,066,146,314,642,057,413,298,281,
584,825,354,152,101,656,793,797,387,263,389,135,102,175,823,420,930,137,494,
597,981,069,742,531,617,846,418,288,252,152,205,560,886,287,960,772,703,858,
317,327,214,530,261,462,004,880,042,976,117,926,051,810,061,868,648,341,247,
039,707,317,529,032,553,701,342,604,209,804,715,448,836,626,101,497,921,509,
674,665,313,454,012,387,294,143,737,007,774,101,749,703,849,433,530,996,703,
226,491,135,075,318,712,766,331,394,086,485,378,809,786,699,045,137,699,997,
536,341,777,109,830,074,274,230,002,542,204,239,116,497,965,333,769,943,394,
204,658,177,357,259,340,966,023,589,501,591,416,560,576,424,601,958,202,824,
678,538,133,169,139,869,086,316,358,087,712,839,584,401,097,441,169,209,958,
693,243,000,786,262,648,102,992,289,634,777,885,723,476,887,558,554,168,253,
330,950,942,115,714,163,137,191,581,105,374,485,688,113,013,762,225,330,407,
683,230,155,495,214,656,891,172,521,032,436,927,124,879,953,030,755,910,859,
625,230,585,208,404,269,872,546,656,350,986,845,226,981,599,960,334,516,120,
292,741,775,403,537,282,073,996,832,668,019,802,310,102,129,516,901,494,416,
979,180,229,546,278,437,396,034,799,686,588,268,597,356,688,369,769,053,311,
435,779,071,776,849,922,773,065,958,698,217,807,871,653,740,259,765,816,787,
504,762,080,560,645,866,322,559,173,060,590,003,058,953,565,445,088,992,074,
882,425,644,038,376,275,358,021,376,061,495,874,622,532,358,653,383,881,194,
887,844,439,961,805,392,302,786,150,877,141,105,740,149,083,862,575,442,731,
329,694,850,551,700,719,316,810,019,583,431,632,809,649,808,309,722,986,369,
032,009,754,953,342,547,291,528,966,424,173,443,427,838,036,403,029,579,290,
215,717,119,237,742,633,357,575,612,021,469,477,496,590,826,150,537,378,946,
784,215,406,513,963,308,485,816,011,352,603,293,742,944,528,068,861,594,553,
284,829,597,584,796,360,305,307,888,299,335,853,417,341,470,298,938,940,560,
648,668,066,659,145,031,846,389,297,793,890,767,464,233,588,673,933,979,848,
386,048,876,868,056,754,274,670,907,265,311,597,567,114,914,099,946,398,797,
362,731,116,872,520,306,032,849,370,774,293,948,313,766,116,426,239,034,775,
638,706,779,243,262,496,516,440,279,880,990,446,088,970,974,398,449,265,106,
411,088,430,173,076,584,575,895,770,082,022,956,791,102,003,473,581,577,080,
301,064,874,130,380,004,436,218,217,555,289,095,753,828,103,478,720,527,195,
501,032,518,936,916,089,273,918,877,133,137,950,473,725,178,214,532,126,417,
287,758,455,361,564,004,009,407,603,336,470,313,885,177,389,143,486,753,442,
241,147,350,879,923,139,628,522,400,496,475,183,770,083,371,976,407,716,740,
257,257,981,701,200,495,790,564,298,085,165,631,687,643,269,398,564,997,701,
250,935,497,742,144,117,913,847,409,539,603,982,271,826,184,011,482,662,128,
710,447,721,536,781,932,017,506,776,611,391,870,246,942,043,711,138,494,540,
857,741,238,527,461,962,090,231,952,869,844,451,184,055,552,870,661,607,589,
929,424,997,919,419,099,811,932,209,973,589,844,685,984,701,470,342,633,739,
234,348,460,292,484,405,703,688,368,705,002,697,732,278,819,191,000,125,511,
018,990,632,336,499,841,471,586,437,286,108,568,848,556,733,207,896,438,670,
956,092,090,217,577,203,704,535,843,548,993,751,751,801,040,039,016,701,312,
247,779,397,661,036,839,367,595,664,524,436,741,837,125,498,408,754,974,568,
404,601,633,581,562,667,782,156,637,575,080,124,520,426,315,870,371,529,454,
952,625,336,639,123,377,011,170,770,939,890,607,314,579,682,312,960,298,823,
476,210,022,273,788,703,141,477,693,987,189,350,449,087,880,392,948,962,730,
885,259,650,160,022,352,654,731,765,702,350,572,618,536,553,134,162,316,534,
653,723,119,822,098,802,209,251,341,657,577,829,478,219,948,919,852,268,536,
592,871,334,980,766,866,385,390,160,247,882,621,997,390,316,007,953,991,255,
198,977,624,900,658,491,071,407,052,445,077,897,390,448,085,450,348,979,249,
605,529,210,607,018,803,650,083,645,503,408,259,251,006,638,202,490,382,320,
023,428,836,012,259,864,202,409,843,534,227,777,489,267,506,529,873,886,329,
904,223,021,104,388,078,028,281,598,527,063,473,917,193,916,599,991,297,143,
773,637,503,233,215,688,603,147,444,378,054,108,797,311,271,059,634,071,213,
561,315,061,908,326,129,904,790,371,656,877,624,534,846,353,463,026,620,251,
475,113,519,195,728,503,963,034,633,153,343,033,708,567,083,180,145,097,033,
368,616,710,760,295,063,199,021,881,651,067,492,695,364,439,355,342,272,496,
840,086,312,218,982,980,553,816,600,326,192,491,458,985,448,846,602,942,969,
913,399,459,489,781,828,655,777,672,788,432,221,572,677,967,815,989,804,581,
148,590,242,112,950,108,618,083,555,052,321,305,518,618,015,757,243,281,970,
043,588,777,850,991,672,870,843,972,107,469,893,551,292,112,884,335,168,078,
937,428,167,647,765,724,270,261,759,353,057,836,958,208,322,180,839,406,044,
511,253,679,192,476,889,501,793,454,025,542,704,158,248,548,282,235,256,847,
516,551,441,956,332,175,634,029,165,578,900,271,499,621,253,549,510,378,888,
871,298,654,570,915,423,765,128,910,765,612,699,677,504,513,550,348,930,331,
204,159,804,630,114,529,070,035,685,917,970,850,878,729,283,936,527,574,816,
903,004,421,011,470,374,735,148,493,313,992,591,155,413,069,885,058,600,196,
814,697,248,306,872,246,552,878,389,597,068,692,821,590,278,603,211,319,649,
104,884,873,497,992,893,153,122,682,165,895,740,503,251,985,642,874,561,347,
845,562,610,762,293,729,330,638,214,325,728,056,644,130,715,733,221,925,202,
515,981,105,332,415,780,641,504,238,807,930,238,229,069,473,654,171,369,568,
040,578,314,112,598,491,062,526,589,738,203,979,412,245,981,006,392,627,193,
368,452,669,148,543,353,105,584,043,453,606,638,734,358,600,938,080,445,149,
468,233,883,526,919,840,573,754,613,828,229,889,727,556,693,220,116,577,757,
255,019,733,184,624,170,882,833,624,966,515,093,583,013,894,076,935,523,847,
792,400,418,120,067,468,272,296,258,541,923,227,514,876,692,396,394,477,739,
420,799,644,342,785,880,554,276,217,060,876,516,552,804,259,221,668,334,142,
215,720,751,848,878,626,612,628,785,575,180,570,896,672,998,039,986,212,871,
575,404,281,982,243,976,397,381,868,503,210,406,338,248,810,672,660,766,210,
074,371,292,398,331,437,730,100,985,254,627,469,362,931,074,593,391,512,633,
977,427,594,927,326,990,542,170,262,239,175,632,245,236,132,349,724,967,478,
756,444,692,585,214,037,158,897,455,557,400,277,923,879,435,254,739,004,809,
077,866,830,156,784,087,961,070,169,344,384,280,240,074,032,893,086,708,901,
548,549,511,873,699,482,387,448,364,444,715,809,793,402,740,416,658,701,046,
258,740,806,431,744,276,726,281,926,362,662,019,332,663,475,527,174,261,854,
604,764,758,425,955,696,375,462,748,795,129,482,612,357,695,192,883,847,384,
965,205,824,347,540,973,540,061,494,628,662,988,020,570,032,062,820,346,798,
131,680,209,255,087,641,996,570,881,891,699,268,978,857,336,283,898,618,872,
461,275,810,186,573,771,230,232,452,034,495,476,903,723,454,837,399,902,329,
210,976,253,166,620,583,131,762,577,939,888,296,337,212,763,661,219,155,694,
636,742,428,226,852,038,643,395,574,069,688,376,999,012,724,348,142,347,589,
099,887,165,560,996,818,305,372,169,371,510,844,234,990,844,012,334,664,413,
876,465,519,812,467,645,187,056,192,201,814,611,792,010,459,003,885,827,843,
589,739,974,055,215,708,008,395,687,639,908,743,202,478,279,215,470,864,326,
822,303,394,329,094,824,253,901,697,297,005,166,719,115,066,716,512,584,481,
562,874,362,256,459,132,837,629,094,940,114,848,269,324,209,468,111,437,241,
038,959,549,893,070,408,466,281,996,606,422,968,633,277,538,056,399,395,440,
646,083,867,022,050,933,009,156,984,809,154,822,489,468,830,588,482,279,290,
250,687,937,995,982,760,556,780,445,039,810,545,501,650,320,026,888,419,309,
328,722,368,704,073,974,789,144,686,410,324,190,185,216,412,284,902,950,932,
724,049,862,813,390,396,058,073,001,148,933,278,103,355,373,481,587,475,285,
294,226,357,313,497,812,657,344,619,159,742,843,347,101,483,745,951,204,268,
692,927,435,882,986,288,689,553,327,973,959,430,552,216,349,409,601,744,819,
860,317,056,194,571,707,110,316,557,233,699,113,207,414,499,457,488,332,916,
439,536,306,150,351,354,200,244,647,438,658,077,794,666,461,934,000,685,023,
046,526,492,326,890,901,529,094,757,862,652,516,720,891,378,933,610,253,899,
035,932,395,708,259,828,032,357,543,481,071,920,213,376,359,469,258,569,435,
555,741,014,790,297,490,874,769,103,310,749,047,555,492,533,868,364,868,759,
437,326,041,802,911,144,485,098,767,160,725,619,355,747,603,179,198,721,704,
015,647,409,244,436,565,460,085,236,010,771,892,961,368,631,300,765,044,500,
756,042,343,861,512,444,392,282,904,071,073,930,503,504,176,217,514,690,471,
949,151,310,998,087,550,675,156,063,451,634,002,582,783,213,428,526,225,438,
782,717,674,573,677,058,601,358,182,522,083,968,197,315,678,807,468,382,579,
033,211,770,121,657,361,958,803,577,356,443,056,867,338,471,111,847,748,956,
742,467,782,415,790,089,017,625,889,694,778,570,476,734,884,728,170,005,635,
626,259,100,919,278,175,957,916,651,391,761,918,164,256,768,136,533,365,216,
400,763,117,079,478,708,186,777,144,567,575,503,086,737,577,211,806,187,805,
685,207,100,808,383,820,663,840,363,357,899,613,339,562,755,058,974,059,738,
926,075,081,886,658,149,217,900,694,512,476,574,385,315,209,954,921,656,341,
868,952,333,820,369,110,865,039,993,225,014,515,990,975,233,349,807,563,948,
012,872,351,129,242,021,444,645,840,891,082,148,245,390,337,861,713,216,976,
969,964,749,858,662,236,490,301,201,978,860,465,953,691,927,295,021,320,603,
617,784,316,493,574,692,266,872,286,047,568,959,868,343,513,038,958,870,082,
214,153,375,187,674,303,163,299,212,235,489,942,222,372,528,787,512,551,970,
285,054,799,514,273,359,378,142,287,236,553,905,060,903,814,476,831,101,431,
031,355,191,298,671,032,599,021,768,944,922,096,079,543,447,037,411,730,035,
713,449,101,261,951,329,113,994,870,034,953,299,962,400,796,038,665,867,406,
961,756,643,570,030,962,949,356,958,794,342,233,174,083,827,571,023,900,725,
028,448,336,912,112,889,901,110,464,051,717,154,260,338,698,161,095,337,053,
977,064,693,732,920,987,666,723,520,939,029,543,697,887,963,134,558,922,785,
992,999,394,195,021,017,210,205,048,631,730,872,958,488,176,800,189,064,448,
274,641,076,009,643,427,402,450,738,553,864,719,707,857,386,556,789,250,303,
134,364,371,457,288,744,382,126,102,880,598,480,786,046,534,603,698,458,159,
883,090,214,700,211,343,858,210,676,441,151,927,253,086,247,695,764,336,081,
409,893,669,257,675,193,586,337,839,953,280,271,805,103,920,221,507,994,517,
825,588,983,413,397,269,143,622,177,056,965,309,111,937,147,248,219,659,837,
322,331,366,865,305,942,856,025,999,421,047,183,424,505,353,255,750,175,249,
374,721,024,309,345,087,440,323,837,762,007,863,013,075,108,218,525,455,293,
721,734,417,651,440,999,719,103,950,288,975,887,106,774,244,000,205,735,308,
501,586,615,223,188,853,341,722,638,050,453,793,556,524,310,990,496,677,537,
452,116,724,463,082,038,046,697,471,702,980,271,161,541,232,635,120,261,138,
709,791,899,894,207,000,357,669,425,006,880,666,283,047,738,972,997,725,474,
313,153,075,614,422,436,736,576,710,776,439,965,234,352,474,536,779,522,885,
290,752,457,990,516,270,425,729,784,336,861,779,509,051,777,597,026,357,905,
948,683,062,161,989,673,968,538,201,465,603,846,077,189,835,898,896,891,948,
688,385,452,933,877,661,395,165,067,828,545,328,399,455,888,978,589,521,106,
449,199,800,951,955,268,775,430,792,009,970,967,656,294,682,984,602,220,245,
311,743,897,277,723,501,082,816,062,097,019,446,347,168,982,166,080,540,919,
965,174,825,254,570,949,979,050,495,479,342,683,903,549,769,070,177,519,745,
892,477,367,419,995,272,644,141,069,362,234,092,460,584,490,888,387,416,676,
800,443,537,377,799,810,058,879,968,383,343,633,811,777,225,543,491,763,108,
281,634,857,968,877,348,103,571,179,739,873,915,367,363,114,217,112,220,395,
194,005,462,899,021,668,316,595,212,197,865,665,680,819,021,265,328,063,827,
885,077,960,443,516,922,601,400,714,137,967,978,839,368,422,096,371,816,771,
776,793,935,290,922,094,830,919,111,552,022,279,596,542,065,112,400,448,386,
691,875,743,368,480,273,979,210,478,412,554,255,609,166,690,978,393,336,767,
937,998,251,704,201,103,832,242,308,890,897,034,322,155,094,222,288,515,743,
980,587,039,277,426,242,694,080,382,733,693,273,202,737,127,449,994,172,583,
083,625,783,780,987,967,494,467,603,499,002,797,785,023,461,465,231,142,768,
474,096,502,385,777,966,578,967,161,597,016,043,120,434,010,094,036,001,221,
278,850,527,311,600,476,411,536,107,244,727,176,773,957,514,043,422,425,780,
129,014,791,715,047,102,853,957,068,736,962,852,646,613,872,464,404,825,213,
676,810,734,478,666,085,944,721,591,976,808,059,643,504,750,673,635,490,845,
511,204,387,095,896,898,829,192,010,234,820,881,496,716,119,708,076,702,206,
212,958,010,725,942,330,447,551,534,414,491,923,870,132,798,941,897,371,512,
768,316,806,772,031,030,891,895,558,666,422,421,081,332,731,247,928,511,828,
775,991,321,477,408,125,911,797,508,736,837,595,158,843,448,712,434,619,396,
611,775,567,890,706,534,682,111,154,705,804,443,231,945,299,870,747,855,761,
778,420,177,356,884,775,688,110,735,373,151,812,474,717,533,897,285,054,654,
756,803,615,539,130,076,627,090,659,138,124,617,115,575,167,931,575,988,292,
953,173,634,629,817,410,757,126,994,882,262,138,496,440,635,202,348,438,418,
435,913,628,793,443,123,762,442,710,691,968,316,592,116,733,396,580,831,303,
648,435,032,246,070,743,746,069,270,260,183,930,500,755,255,214,787,331,369,
361,225,186,613,797,825,767,905,091,765,386,265,186,827,414,139,813,638,538,
436,979,243,440,346,312,372,814,846,691,697,558,966,608,022,999,363,626,216,
788,870,018,494,000,002,838,315,550,848,017,535,445,691,278,708,724,850,593,
054,003,523,225,993,850,285,077,313,350,814,531,780,939,397,488,694,821,595,
949,672,789,390,260,121,950,218,137,346,169,064,370,500,134,859,691,882,912,
761,823,003,953,273,623,916,791,054,918,450,848,479,853,446,809,990,047,744,
179,299,155,960,012,024,528,360,482,054,677,296,665,608,745,730,429,712,657,
102,036,968,497,077,613,553,114,023,726,574,228,271,040,465,902,936,343,965,
358,021,152,806,868,678,036,518,811,143,030,756,883,756,967,958,456,328,648,
048,234,442,399,239,359,343,531,600,884,578,575,555,253,624,327,161,261,275,
795,013,225,993,316,399,749,449,714,888,390,902,209,487,076,570,524,977,692,
137,876,555,289,498,921,241,875,944,679,148,453,365,571,148,258,295,122,145,
277,106,464,583,841,789,307,717,810,642,010,429,371,122,814,383,069,847,218,
661,323,211,440,069,007,238,397,086,754,420,509,986,638,122,864,144,795,534,
242,051,206,979,518,196,267,591,126,976,288,055,985,430,552,910,233,733,677,
632,589,162,688,655,848,334,536,495,248,940,828,207,283,305,338,843,044,905,
895,125,402,813,741,317,004,168,410,877,240,709,700,821,139,351,113,220,073,
261,996,520,407,092,564,214,933,921,521,079,040,764,952,451,555,869,318,367,
415,976,008,612,386,690,404,542,892,436,595,827,583,497,786,246,969,848,822,
776,692,075,302,994,834,476,491,524,842,553,735,448,329,801,737,515,312,774,
142,905,614,151,137,768,542,122,884,207,987,036,793,122,855,460,226,386,112,
133,041,354,926,932,925,048,435,325,427,885,152,327,626,803,061,302,786,978,
188,509,272,507,890,616,498,647,562,532,670,648,009,925,304,661,471,822,946,
746,916,772,755,798,846,596,721,640,885,518,743,807,342,598,548,627,603,022,
577,030,214,609,733,556,692,822,897,831,235,994,284,457,886,187,068,824,516,
153,209,343,912,222,982,590,711,488,509,768,806,139,331,208,773,377,882,878,
942,920,696,739,007,695,007,987,686,785,978,933,658,093,922,736,765,994,617,
043,832,222,268,878,082,743,384,601,762,901,106,341,060,930,878,693,506,779,
203,001,146,263,482,733,429,683,079,702,586,179,354,096,057,477,083,429,612,
917,908,921,403,247,159,736,267,997,898,768,042,732,925,464,404,810,722,758,
651,537,523,081,882,273,803,164,617,355,305,295,470,979,265,960,311,072,166,
783,257,401,171,649,037,945,741,359,422,068,263,302,927,506,289,491,977,883,
632,648,169,690,854,520,216,413,701,783,293,138,329,093,475,957,113,946,966,
786,619,968,213,461,480,679,525,854,323,519,726,978,338,579,592,452,190,211,
667,790,652,931,784,231,955,997,581,349,383,595,801,420,065,439,551,885,145,
993,869,143,551,029,631,734,309,195,457,351,548,261,824,617,922,595,803,678,
133,944,641,253,921,074,989,334,151,301,452,089,871,176,987,315,296,948,431,
188,535,967,894,912,962,517,467,506,235,561,866,985,648,599,416,629,160,196,
517,677,405,749,829,447,218,648,133,748,903,688,558,972,567,706,106,245,055,
307,136,795,965,000,114,448,385,281,260,218,568,784,560,981,816,731,558,882,
041,504,485,628,630,984,349,271,326,521,212,616,648,283,039,320,735,878,620,
183,942,123,549,037,862,437,832,389,374,258,715,349,944,038,331,028,594,777,
441,489,779,365,253,335,388,953,358,821,479,307,474,298,391,202,572,707,007,
819,810,383,641,406,390,582,430,046,225,933,694,818,616,350,567,181,217,938,
762,688,797,959,307,370,249,342,797,545,163,268,958,257,828,249,943,897,422,
889,412,600,027,922,997,388,711,622,743,235,695,572,862,484,889,991,330,188,
098,376,222,742,717,647,815,175,296,473,546,415,746,918,658,100,845,079,850,
822,927,133,158,306,071,251,700,020,028,295,589,014,854,596,326,075,618,399,
902,711,900,370,549,232,231,578,054,009,366,885,987,483,607,398,913,958,430,
174,445,127,858,819,457,789,865,702,015,258,240,253,755,236,410,915,268,901,
357,795,923,107,451,908,634,338,401,194,535,976,358,972,058,371,476,929,545,
959,885,268,583,389,124,811,524,020,004,006,106,679,120,264,401,673,981,924,
796,473,096,495,709,976,673,248,273,096,756,357,002,125,179,442,617,645,301,
966,365,823,866,600,579,538,586,696,862,984,272,297,129,911,144,885,320,704,
780,543,170,444,363,233,160,075,364,179,367,811,181,156,695,221,683,324,706,
337,304,730,950,698,520,788,946,315,247,291,304,494,342,649,100,853,956,348,
672,035,620,233,089,727,669,393,671,790,363,725,413,348,292,710,714,333,407,
765,359,218,381,212,885,352,456,245,518,307,605,581,370,907,728,227,353,924,
622,499,874,763,654,531,059,945,158,235,377,467,997,471,755,335,248,400,329,
383,022,628,860,804,380,793,346,762,687,738,440,156,805,257,521,563,432,600,
856,991,703,500,513,254,061,060,527,770,907,673,019,630,898,541,751,618,792,
790,701,613,798,407,236,150,742,985,882,850,577,915,222,156,882,560,141,171,
038,382,391,870,923,092,607,126,783,821,633,912,741,509,011,533,990,307,165,
685,613,670,381,494,634,854,529,879,677,371,494,343,971,689,569,809,962,595,
076,524,859,047,484,857,585,040,016,930,796,795,540,330,480,399,013,690,458,
872,890,754,766,572,845,220,113,407,094,207,235,838,647,535,960,322,562,619,
143,626,466,363,064,730,714,028,557,737,501,253,406,071,621,689,962,527,541,
099,173,967,626,837,466,285,767,141,208,294,550,357,548,222,766,190,343,601,
620,180,208,311,960,811,595,600,473,880,268,444,531,786,785,074,331,636,728,
739,816,696,377,049,171,657,625,697,888,858,523,338,655,988,892,601,426,153,
981,603,535,065,955,057,493,306,169,979,498,021,897,118,992,190,995,679,998,
249,061,335,864,293,806,330,912,947,586,744,834,973,255,346,678,539,818,335,
559,748,017,444,349,496,295,810,922,739,140,280,097,587,431,244,326,742,644,
397,360,312,018,568,768,568,676,285,078,761,206,937,948,662,862,439,156,038,
121,692,636,289,491,650,809,571,716,649,891,238,095,489,504,714,737,839,286,
598,686,290,666,645,069,030,582,531,044,583,446,600,960,835,432,079,962,440,
759,402,791,497,095,511,140,544,311,134,798,744,658,039,023,345,873,891,414,
683,173,969,879,706,689,212,930,128,482,017,291,349,239,481,476,900,766,885,
983,679,597,130,709,432,756,429,729,767,906,797,998,340,424,950,834,222,917,
222,980,026,344,150,470,779,153,952,116,035,371,261,239,491,845,265,658,153,
718,572,725,027,396,185,550,990,472,136,744,818,872,297,552,755,410,816,103,
528,691,386,521,197,406,986,740,525,230,033,510,378,166,716,041,537,421,002,
765,469,560,336,713,715,676,318,567,088,267,052,381,074,121,890,751,033,579,
295,358,638,557,639,707,988,814,451,071,921,092,479,428,344,512,992,584,601,
180,614,084,506,810,406,137,332,091,458,159,151,300,921,359,243,681,615,881,
323,170,435,455,905,888,707,581,396,666,579,594,793,275,861,093,438,494,788,
914,052,088,873,187,181,110,216,560,695,818,036,151,729,174,852,524,697,932,
161,424,403,805,790,435,767,390,483,971,919,046,698,144,859,403,965,277,952,
572,206,298,507,076,977,406,368,785,405,943,517,828,235,724,056,348,296,520,
157,633,606,420,049,644,684,966,189,030,064,363,603,365,620,178,492,629,524,
814,876,813,983,167,267,136,415,202,224,424,159,796,364,385,969,246,596,650,
556,337,789,132,574,931,546,649,210,635,812,959,709,220,312,203,313,059,147,
708,621,241,848,092,555,636,511,899,491,479,705,463,456,794,406,614,838,739,
822,529,628,643,939,972,778,282,226,359,982,796,619,169,961,072,344,660,286,
024,124,123,741,044,668,217,924,342,586,716,984,856,784,198,577,206,092,252,
880,992,115,100,801,741,030,996,939,498,573,846,533,223,676,430,195,554,854,
410,765,781,185,446,508,417,149,284,082,166,232,402,707,779,325,564,029,580,
216,889,855,197,002,733,903,498,810,798,916,697,208,671,992,051,169,598,365,
928,551,855,136,842,535,563,573,147,892,167,406,682,112,076,137,468,514,108,
918,943,811,741,743,462,075,839,380,886,928,931,521,650,023,542,485,149,184,
474,318,957,741,695,955,920,713,567,389,268,908,943,101,262,829,902,017,539,
568,168,461,762,533,174,070,365,702,748,436,488,389,622,612,301,566,651,553,
215,175,402,530,908,994,806,890,780,083,692,450,414,441,579,736,819,131,177,
961,622,313,600,890,872,545,358,580,503,633,108,372,500,571,689,036,217,712,
480,995,639,405,274,988,296,138,970,881,679,152,651,223,816,640,634,257,797,
240,062,110,584,051,052,362,298,870,739,600,104,290,031,180,175,901,296,934,
456,927,049,128,682,219,585,295,863,299,907,583,613,331,693,247,407,731,165,
217,134,483,121,538,575,024,593,343,137,897,663,783,922,105,930,846,002,456,
143,459,777,274,152,720,067,752,106,751,654,154,336,623,869,701,419,154,748,
416,379,728,093,580,763,692,262,051,864,167,453,528,081,422,155,129,876,968,
619,390,525,575,320,938,636,081,713,162,443,948,534,749,465,439,772,324,187,
171,678,076,176,065,356,919,357,169,398,806,144,700,945,383,988,095,937,105,
031,942,058,611,317,093,294,437,147,767,338,921,002,579,831,941,983,309,410,
306,011,758,681,229,461,820,820,997,083,341,976,800,413,074,254,882,559,000,
863,502,051,575,706,309,391,268,653,863,273,378,235,637,084,376,617,495,208,
177,731,501,438,807,611,742,389,452,279,817,409,614,297,337,097,901,751,699,
379,785,235,009,542,602,561,777,502,833,555,370,624,525,596,628,293,427,607,
766,644,953,777,514,177,994,127,942,946,693,654,635,821,793,759,285,554,576,
725,518,074,241,594,104,953,951,324,795,517,629,290,245,488,197,857,368,813,
147,089,867,749,709,548,588,517,523,588,790,483,709,154,916,603,249,253,088,
695,502,486,648,128,665,324,206,589,308,197,259,922,531,630,610,400,147,429,
916,671,335,440,384,156,250,247,360,982,604,882,656,592,731,988,544,674,902,
393,865,760,063,095,773,763,725,829,578,614,461,472,588,220,512,339,688,448,
176,746,858,303,022,742,712,799,131,562,522,107,812,194,846,630,210,687,882,
374,381,515,047,741,581,343,363,897,607,212,384,050,573,316,720,236,929,868,
350,044,694,783,117,287,906,606,426,173,914,031,933,346,607,840,728,647,913,
958,217,288,956,756,448,393,671,894,443,478,106,730,133,504,731,435,536,814,
642,523,573,255,097,272,918,555,746,903,332,635,361,839,791,073,909,424,812,
727,035,564,987,536,736,228,270,040,556,889,522,370,904,320,096,597,654,658,
355,024,945,735,821,738,656,671,172,625,846,494,619,692,407,745,376,628,295,
999,835,843,178,603,189,414,591,670,783,551,823,368,140,341,120,707,994,667,
748,686,591,266,953,270,221,296,994,952,826,503,444,036,336,255,286,721,370,
904,762,501,120,227,609,302,720,760,562,550,105,429,677,442,735,498,601,836,
998,281,317,800,581,212,082,136,083,799,813,756,325,328,179,916,924,848,815,
110,396,683,625,413,550,080,087,252,157,943,904,887,640,863,392,753,176,427,
513,279,053,904,624,845,582,099,261,940,443,746,991,837,464,545,420,798,434,
560,077,758,027,178,863,334,959,067,365,470,514,109,226,517,924,531,160,374,
958,500,988,440,935,862,515,790,697,794,683,578,960,289,949,169,443,375,942,
857,367,969,513,423,838,090,165,556,336,683,441,740,863,667,405,176,024,920,
702,589,734,706,082,091,460,277,475,200,225,670,990,903,911,990,086,851,669,
059,891,565,725,966,925,707,989,921,333,825,699,258,127,839,143,108,615,043,
451,750,854,309,651,965,708,452,009,949,175,992,921,250,298,538,059,657,317,
585,182,555,957,060,817,509,899,250,299,023,856,673,042,306,999,491,755,654,
095,086,459,999,850,654,734,432,153,365,601,355,309,943,282,561,561,046,656,
989,949,631,138,334,090,069,112,100,960,704,807,447,530,892,514,984,836,422,
656,690,784,367,547,230,084,381,375,360,076,652,094,581,022,620,826,810,155,
464,724,153,887,064,813,338,446,834,048,170,921,261,375,996,746,225,863,938,
725,364,872,045,388,318,739,240,269,495,072,364,291,232,025,839,391,784,435,
860,714,810,486,889,722,548,973,479,099,053,883,095,697,489,183,032,315,298,
187,986,231,960,024,519,261,766,439,462,802,545,046,091,908,070,888,775,447,
348,494,637,476,576,491,400,170,958,517,320,687,029,718,983,408,569,776,131,
168,413,986,892,063,708,838,840,513,787,831,077,353,438,944,459,848,146,886,
550,372,186,337,166,983,506,322,532,067,045,598,596,716,958,312,937,104,745,
483,661,778,822,513,406,929,452,833,054,717,954,040,329,540,852,317,145,718,
539,599,221,510,867,465,644,892,627,377,162,766,897,087,442,470,282,789,417,
524,963,687,973,564,542,290,170,224,292,060,470,343,387,037,470,130,527,552,
590,301,120,252,673,357,554,302,033,583,983,522,401,377,872,530,810,774,572,
763,432,173,246,244,290,748,947,463,076,210,010,949,061,056,976,530,353,099,
300,511,071,873,112,662,313,964,266,866,595,106,136,271,241,676,955,481,640,
582,576,425,610,860,350,314,844,503,420,839,808,880,697,069,444,740,013,742,
695,226,770,695,588,221,424,777,199,842,474,773,852,206,870,974,111,882,969,
594,417,688,649,994,169,044,997,243,748,409,111,995,124,747,584,782,685,477,
415,565,379,813,687,158,769,984,882,774,435,296,286,279,122,012,095,376,907,
271,588,294,571,771,084,721,948,418,305,008,786,814,531,002,547,081,164,911,
298,541,464,859,285,665,064,488,902,943,522,191,203,635,349,721,664,285,745,
569,385,490,441,120,877,479,214,592,501,658,790,238,999,983,182,265,084,802,
457,078,181,738,777,232,502,597,370,941,028,736,413,627,596,913,055,579,115,
639,781,398,025,522,557,171,997,464,055,140,141,202,740,688,439,955,709,990,
303,523,395,498,005,441,991,841,766,237,415,768,038,227,811,167,057,147,902,
563,279,397,337,986,515,204,402,409,222,506,872,949,137,553,751,344,339,362,
636,359,918,726,363,249,850,026,959,985,882,261,351,098,690,659,777,875,533,
565,931,922,888,360,343,135,681,143,132,389,703,585,733,546,096,749,027,378,
204,919,477,895,620,540,427,331,769,626,712,493,102,794,131,611,622,892,328,
508,560,807,328,627,165,461,726,668,908,376,414,652,259,452,792,998,696,632,
329,307,699,018,753,451,271,779,502,980,457,333,555,428,007,613,377,177,122,
609,169,153,577,356,039,236,251,907,096,898,687,262,897,747,409,643,832,317,
236,224,823,782,905,088,643,913,386,339,031,168,599,901,435,245,291,726,674,
291,430,608,371,749,101,265,680,878,797,891,204,022,501,946,430,221,231,029,
513,698,259,189,354,688,344,886,241,302,638,657,125,446,571,553,941,204,514,
342,633,522,520,327,474,521,349,764,155,543,182,180,119,483,948,745,040,574,
747,723,266,718,618,228,027,079,683,491,396,791,954,894,317,258,867,882,497,
319,023,315,115,564,251,968,616,556,965,003,711,446,020,017,732,827,704,505,
670,679,071,704,136,693,550,237,830,275,335,494,573,036,276,427,814,199,090,
194,287,324,811,746,935,624,752,724,149,718,861,861,558,166,841,242,268,057,
491,808,566,696,440,427,636,707,157,508,621,494,056,092,350,390,016,302,135,
423,273,516,377,610,079,345,982,568,471,308,038,555,743,318,456,566,766,832,
736,171,428,418,601,949,664,100,683,123,733,738,693,964,417,612,759,460,303,
561,001,940,894,177,514,419,590,914,069,744,493,870,205,146,042,713,173,420,
288,053,860,913,579,333,743,084,672,029,599,193,105,937,121,975,861,519,175,
366,743,591,850,081,066,382,034,672,358,728,535,640,810,551,189,469,820,589,
742,053,654,289,757,789,056,365,447,785,453,943,144,341,405,393,996,191,236,
725,837,676,281,479,291,441,124,885,834,750,785,377,425,913,456,098,087,252,
022,762,716,416,314,470,778,914,974,288,385,880,424,718,373,022,750,267,863,
425,606,000,661,251,344,640,627,748,183,759,135,705,181,172,862,960,736,297,
163,743,158,679,545,108,903,224,685,309,660,014,122,552,235,431,330,431,621,
449,448,087,949,793,337,837,702,058,313,737,670,371,616,759,254,355,479,314,
354,182,012,930,757,272,501,465,535,146,199,699,176,605,108,162,500,872,287,
588,266,308,772,685,094,881,109,273,070,323,206,493,469,543,682,210,721,047,
237,771,670,249,012,030,793,098,450,737,189,311,147,168,826,221,992,753,883,
468,698,461,395,643,608,183,175,121,973,059,839,807,153,157,843,457,096,951,
901,086,673,288,766,737,618,060,674,088,164,831,786,039,886,000,771,201,872,
392,741,929,479,322,372,587,934,494,273,934,033,333,501,808,508,604,449,921,
411,329,353,473,782,849,869,630,524,923,082,053,250,088,891,462,816,257,933,
314,438,149,702,689,975,432,617,979,814,584,663,989,916,323,650,881,517,058,
893,809,586,646,790,766,444,057,692,559,661,600,204,492,965,406,063,523,126,
445,876,532,059,855,845,598,072,885,888,891,690,409,412,419,530,903,382,179,
198,843,879,437,047,613,192,426,477,064,227,382,265,274,751,078,917,721,608,
568,806,384,797,226,559,635,241,929,549,026,927,096,356,915,896,823,167,744,
942,274,601,751,083,968,145,010,255,086,559,113,969,243,770,754,702,497,952,
432,271,883,213,814,542,475,003,480,591,642,764,650,848,916,033,265,138,720,
192,827,455,568,713,946,109,879,212,830,406,340,381,693,604,267,988,550,424,
963,318,523,606,122,676,222,235,037,483,513,229,607,631,074,574,158,872,656,
378,883,017,711,583,212,522,315,621,034,528,987,960,128,715,986,083,423,485,
906,618,629,478,401,032,625,443,777,332,819,701,622,693,627,984,817,824,734,
436,933,869,792,208,179,146,704,376,539,061,144,162,058,879,214,094,603,760,
096,510,362,513,703,197,869,066,492,816,688,220,414,111,387,286,467,166,126,
932,224,288,731,657,518,651,458,559,747,098,842,485,308,414,749,836,525,893,
526,264,796,359,299,605,440,912,174,432,502,457,081,837,745,839,219,457,314,
566,951,466,007,142,159,636,933,689,443,932,235,941,404,710,182,235,848,980,
729,955,674,676,674,875,644,245,530,748,121,259,544,129,532,430,096,309,515,
745,626,024,122,773,266,046,927,123,191,801,599,489,747,038,603,878,284,761,
613,715,160,849,726,688,411,482,970,370,573,983,553,525,748,528,917,379,068,
017,955,192,171,673,979,191,890,430,877,829,299,887,984,111,353,789,621,691,
395,718,794,188,851,567,877,352,033,762,912,522,302,545,103,513,856,597,231,
577,154,416,076,458,721,357,507,111,041,703,225,572,576,408,465,276,357,577,
953,770,961,957,857,078,719,892,257,717,694,665,468,122,707,743,866,084,162,
260,577,555,450,352,491,845,217,034,252,393,516,071,208,280,463,878,718,998,
955,267,906,177,147,059,730,386,429,758,394,336,553,562,099,499,853,917,607,
952,717,390,189,753,992,794,986,477,026,880,111,370,504,055,639,032,989,485,
555,794,995,331,768,825,657,720,555,854,576,415,006,668,535,061,125,172,126,
657,737,713,889,789,101,406,495,050,488,405,758,277,910,811,370,599,929,685,
027,112,338,178,710,778,621,724,471,531,686,531,297,517,185,003,228,363,491,
654,888,673,130,593,505,202,830,593,694,061,203,009,321,926,436,780,888,447,
894,545,026,954,111,155,901,861,232,258,593,656,541,267,140,082,515,990,579,
807,787,559,955,638,635,376,549,166,892,326,775,994,701,727,930,399,660,731,
814,150,715,013,524,888,161,847,034,187,319,251,351,296,643,887,516,741,358,
322,659,197,241,493,106,133,309,515,061,438,753,691,007,717,134,926,143,481,
512,520,282,160,494,391,843,579,896,277,323,286,206,087,702,933,066,826,322,
980,232,807,364,345,248,770,466,482,293,254,274,303,500,073,311,783,398,247,
682,276,408,174,159,966,105,306,121,664,359,607,699,970,181,782,740,188,320,
586,339,008,078,655,147,850,567,091,383,773,088,620,424,430,974,275,566,978,
012,233,362,427,197,662,262,409,818,849,246,305,479,937,081,623,822,516,924,
435,965,062,248,684,010,289,422,436,674,857,049,688,839,225,856,418,295,129,
988,554,759,715,046,860,086,291,488,784,419,561,468,367,075,533,210,989,454,
569,315,263,908,062,022,469,625,342,856,072,768,851,926,257,286,342,466,974,
364,925,649,692,842,794,138,007,994,761,985,981,824,506,346,058,543,728,439,
899,028,229,571,960,373,985,080,169,141,326,646,830,174,398,683,884,199,228,
359,534,713,399,472,396,609,260,918,544,322,659,044,162,997,392,460,367,670,
729,852,873,302,924,357,952,905,335,707,982,556,527,172,093,982,080,628,641,
557,406,267,741,603,833,177,009,707,649,051,500,084,839,066,543,229,870,299,
983,631,215,273,611,568,950,036,554,695,517,337,799,517,323,894,488,597,611,
785,567,767,318,278,628,636,580,159,054,508,628,077,985,625,331,210,725,352,
751,119,547,658,829,589,616,195,588,501,805,746,182,204,099,193,660,389,703,
227,210,916,501,434,587,678,408,649,031,472,146,122,457,567,000,745,950,953,
354,976,442,247,169,733,231,642,336,627,101,613,455,526,220,127,731,734,518,
613,130,145,388,374,537,098,347,649,826,471,972,234,973,589,767,151,610,426,
209,552,775,886,665,795,812,951,945,111,918,765,071,795,716,468,002,346,722,
610,204,575,653,986,965,003,083,529,096,519,973,064,743,255,729,324,240,525,
566,946,767,596,776,560,175,036,359,575,894,084,727,241,970,200,865,791,534,
832,121,940,054,880,159,127,973,501,076,079,575,401,663,587,504,992,128,596,
405,632,426,773,262,981,514,834,855,166,258,733,423,507,675,083,590,516,103,
616,632,666,591,645,125,479,150,940,017,547,230,543,150,918,100,069,713,142,
924,354,075,260,621,926,701,443,535,655,940,031,169,455,175,231,462,697,844,
535,106,092,690,462,105,151,029,297,406,268,274,034,134,858,862,125,796,657,
113,097,184,360,640,070,452,734,667,124,399,810,835,220,542,311,346,986,193,
787,688,495,702,930,104,046,946,682,960,156,550,644,240,873,469,167,129,888,
637,120,134,202,489,318,840,064,312,004,350,121,914,718,585,279,969,627,428,
523,545,674,205,522,609,972,821,073,631,683,523,057,756,026,198,387,788,851,
207,152,246,955,085,572,540,992,285,029,003,904,451,002,260,161,880,626,370,
039,748,380,314,433,908,219,947,269,518,043,959,126,190,888,169,771,425,761,
337,768,368,735,383,580,133,318,604,464,563,799,942,667,687,905,731,464,567,
922,439,799,925,098,695,769,392,091,003,706,804,074,768,245,645,661,247,472,
429,653,430,268,403,708,070,542,613,931,116,559,320,561,058,755,427,686,009,
819,848,060,796,208,901,403,427,142,735,776,380,333,305,895,543,383,248,569,
672,255,944,400,005,071,827,544,077,334,662,101,385,632,389,885,677,241,152,
812,258,719,970,335,195,046,878,862,459,828,845,559,743,364,688,362,191,926,
282,110,829,554,147,822,470,626,157,758,910,414,827,203,029,343,761,983,677,
379,702,112,019,479,087,566,934,268,782,653,760,516,702,210,924,245,469,032,
577,288,477,087,238,004,924,039,567,874,442,960,752,826,369,159,464,175,966,
320,632,917,397,265,229,838,431,459,304,170,599,338,828,887,058,535,820,953,
049,733,888,295,570,772,068,941,703,976,033,793,605,326,554,302,813,673,616,
331,398,847,921,234,580,802,073,698,719,286,810,555,504,550,054,303,357,729,
743,549,454,115,547,490,697,141,807,463,897,110,461,566,165,311,589,487,067,
142,031,491,512,792,691,789,720,090,191,160,311,469,000,118,714,857,782,623,
770,257,440,483,741,783,657,325,447,888,497,212,402,921,991,273,420,377,904,
078,271,716,675,791,173,753,207,880,164,859,083,210,577,945,418,628,945,789,
240,257,887,304,221,756,418,802,977,506,926,929,753,515,740,901,198,597,225,
995,544,530,662,805,642,496,804,066,458,063,843,968,158,346,030,450,428,065,
902,710,238,563,486,915,753,874,240,694,854,850,830,548,145,706,684,486,998,
902,503,094,319,049,443,283,886,106,948,803,752,302,605,999,745,333,817,427,
451,206,631,155,751,320,739,176,950,563,339,300,289,990,303,128,863,554,315,
192,337,375,317,415,776,654,395,863,494,041,630,252,231,408,978,002,914,000,
781,819,247,149,052,691,708,556,832,362,650,699,109,872,331,220,637,764,046,
500,435,785,655,426,449,106,452,891,111,304,317,051,054,490,909,375,724,653,
937,505,343,147,234,072,769,400,639,938,550,337,262,211,940,330,376,691,567,
721,747,530,075,039,427,896,652,451,112,048,773,623,175,210,944,939,465,426,
488,061,448,923,654,665,952,948,889,848,200,440,165,485,834,176,887,314,101,
072,762,059,449,351,681,492,135,869,773,093,484,842,691,257,690,611,024,080,
961,986,821,500,849,089,086,626,802,755,058,081,869,308,434,304,541,185,825,
153,444,527,163,271,423,439,560,627,773,389,583,896,940,869,092,615,115,766,
141,383,857,464,714,089,907,835,746,795,662,841,471,709,396,491,105,450,604,
348,641,823,868,778,340,248,049,557,660,532,293,447,359,467,656,453,159,486,
933,567,479,171,164,651,653,544,249,225,213,151,609,141,535,171,513,687,054,
901,348,623,558,476,770,662,151,961,843,072,270,551,111,654,324,157,556,486,
591,850,325,070,611,144,855,499,691,867,342,762,175,923,300,563,206,262,025,
470,307,919,492,440,582,861,933,407,891,655,429,791,816,829,118,160,822,030,
372,448,503,190,331,451,392,826,151,649,951,481,524,094,647,712,726,373,919,
191,470,318,002,881,742,531,427,839,552,886,191,159,199,089,398,641,096,521,
209,853,457,246,798,865,844,599,264,171,480,196,940,067,577,163,897,254,094,
324,295,555,405,361,389,739,531,004,967,538,081,158,618,804,230,664,089,926,
256,226,361,364,041,409,764,131,804,315,909,555,032,775,128,340,146,925,133,
829,918,728,256,302,183,058,416,779,372,520,852,257,245,890,149,271,020,017,
426,812,059,230,568,329,633,103,177,107,298,840,348,456,796,083,730,233,266,
188,443,978,924,613,978,586,164,374,844,110,963,904,880,255,132,155,865,106,
914,913,903,292,339,911,560,401,095,423,904,324,345,022,097,677,628,802,512,
111,922,408,579,763,048,307,541,880,899,215,165,989,247,992,939,910,484,906,
020,900,245,623,473,992,755,009,568,918,548,479,995,729,180,608,136,265,919,
052,557,017,068,363,248,750,945,872,969,011,507,275,452,159,516,609,406,880,
457,918,584,672,775,655,864,925,662,248,506,730,663,393,085,904,873,753,720,
410,772,888,531,986,299,650,252,947,234,389,143,444,165,171,503,827,441,821,
153,568,273,594,326,714,264,583,886,362,403,835,287,964,300,139,047,805,365,
796,670,299,007,549,263,741,038,020,301,630,571,027,957,635,745,591,440,131,
176,220,784,650,023,592,047,936,037,907,130,146,813,417,420,156,502,071,769,
002,410,885,988,642,290,794,966,154,933,889,475,201,251,775,478,887,688,006,
174,534,900,848,661,123,896,731,064,754,412,650,300,818,017,197,445,105,407,
423,519,863,428,784,148,028,823,748,125,192,882,025,049,140,108,707,385,157,
311,289,056,471,937,172,198,558,569,822,216,220,210,385,532,627,727,401,158,
083,176,642,950,668,418,166,831,510,965,176,154,462,090,181,349,343,555,938,
679,753,305,142,224,712,755,208,592,646,824,925,834,857,160,823,547,685,589,
360,077,811,208,194,500,189,850,606,384,556,526,255,135,716,883,862,564,216,
783,660,915,109,727,319,858,286,133,598,407,485,066,059,022,186,784,095,601,
521,110,535,052,850,613,562,517,985,394,265,349,677,000,257,854,226,117,010,
728,996,384,409,916,531,149,746,690,447,216,900,111,644,151,539,388,410,079,
536,203,501,366,438,596,117,162,384,776,135,690,652,882,770,650,940,792,074,
232,005,315,766,926,424,399,298,108,303,750,247,989,639,337,110,934,373,657,
681,770,344,322,122,558,651,879,257,068,289,861,403,374,731,169,610,462,357,
212,888,047,892,044,513,703,048,567,060,040,211,280,522,036,375,153,272,147,
378,778,615,239,851,680,990,100,010,381,204,363,627,008,515,972,328,765,642,
453,917,327,846,475,405,903,327,497,526,189,764,640,911,325,557,874,829,563,
990,741,740,583,821,068,558,659,492,862,991,827,973,138,844,215,928,373,208,
015,625,109,750,835,670,695,554,582,643,623,834,790,666,169,144,205,788,895,
064,183,555,318,626,007,471,520,023,564,986,932,235,015,362,443,092,313,424,
200,709,848,058,448,336,028,047,869,058,473,556,639,251,958,471,372,777,611,
182,270,444,019,895,657,721,186,106,174,523,150,014,136,994,375,351,856,284,
283,172,962,535,197,338,937,700,628,249,628,045,991,256,945,940,940,515,728,
451,895,983,873,488,136,085,148,279,372,562,930,470,412,931,506,966,316,572,
734,714,287,443,371,653,644,768,343,853,494,271,677,830,574,165,350,144,344,
776,036,606,108,877,913,864,013,653,757,352,895,967,821,114,328,756,497,248,
205,328,145,056,861,631,071,372,840,496,747,186,885,275,486,988,898,500,267,
733,805,096,187,987,993,975,671,774,595,907,837,450,802,449,208,496,378,807,
735,316,255,298,175,452,129,813,391,303,300,489,851,917,486,065,182,439,172,
484,151,530,744,055,990,008,917,724,666,931,408,565,481,709,026,797,005,195,
008,153,571,069,479,211,886,171,665,331,712,384,046,454,900,855,718,708,514,
448,948,192,852,162,868,602,226,388,218,103,262,155,971,762,251,222,465,595,
302,215,473,298,375,830,789,740,756,031,287,324,690,148,365,427,974,165,928,
822,628,844,667,110,382,983,741,372,938,000,464,989,406,073,556,231,224,526,
845,741,908,028,972,674,378,337,244,250,329,648,511,241,517,237,329,946,378,
485,090,337,323,361,640,695,428,885,290,233,437,411,182,969,435,518,367,034,
997,544,575,061,271,982,840,256,967,627,250,688,243,578,525,918,633,048,647,
236,082,140,878,033,777,366,398,893,973,613,478,236,025,792,893,078,925,688,
557,331,271,395,340,339,251,876,743,634,330,336,885,438,002,260,129,113,018,
979,967,614,170,986,561,595,878,501,467,984,925,230,208,671,204,417,245,441,
215,625,948,030,434,456,156,167,815,991,043,106,036,625,127,004,417,118,101,
753,396,409,126,170,221,438,772,327,346,579,667,125,908,265,003,194,400,881,
355,012,490,808,758,941,569,184,813,289,268,066,030,503,060,858,372,457,425,
526,813,620,230,583,107,877,079,211,101,306,628,083,720,661,002,043,416,145,
570,196,860,864,534,798,014,280,810,104,830,843,723,660,320,718,310,807,070,
019,583,732,595,339,244,616,092,503,951,246,512,268,042,136,133,306,097,236,
733,561,002,305,426,712,067,608,734,636,943,059,781,580,529,769,900,975,174,
542,570,455,189,418,033,041,122,769,030,445,791,524,487,326,470,697,226,027,
987,699,182,640,556,876,083,290,488,623,782,982,396,824,195,349,035,487,231,
225,808,383,414,815,192,389,804,757,169,628,347,376,377,216,828,452,430,734,
920,191,796,995,886,349,111,069,051,374,627,668,972,304,386,952,371,744,369,
116,003,426,771,215,781,772,962,765,150,661,069,606,644,398,305,125,826,946,
217,334,964,588,869,711,281,740,389,213,244,886,294,234,904,762,609,543,254,
018,505,703,644,843,114,402,900,157,898,255,609,990,278,992,558,537,091,226,
901,605,034,814,439,262,615,844,510,318,324,287,492,106,766,967,430,357,635,
318,639,859,901,217,619,435,722,501,626,941,127,153,106,462,886,986,759,205,
538,310,256,147,148,535,425,250,241,599,385,853,446,876,749,205,896,414,850,
045,522,983,688,141,163,518,551,652,769,038,100,932,292,316,770,653,946,124,
217,984,956,545,214,205,482,346,983,902,339,229,139,257,529,151,890,908,313,
659,474,481,783,075,489,143,340,002,867,959,472,620,563,911,224,881,785,606,
332,474,284,465,139,616,166,791,252,565,617,092,018,556,454,179,607,250,863,
556,042,857,315,770,480,209,484,712,820,592,951,196,210,964,183,759,162,820,
544,953,028,874,327,228,455,563,972,767,383,939,370,171,446,477,532,078,653,
892,781,762,952,046,639,940,621,883,069,536,670,931,392,116,230,530,080,157,
085,658,501,258,475,726,074,590,511,961,793,028,312,064,419,816,128,994,708,
217,894,887,355,414,998,268,357,653,836,982,073,606,260,684,742,099,351,132,
183,722,570,934,381,236,490,738,053,760,527,652,940,695,053,162,852,115,534,
002,524,010,860,253,954,829,834,827,441,789,017,218,252,264,978,240,237,338,
263,876,679,552,398,407,345,732,914,977,194,319,630,635,825,125,535,444,937,
557,204,153,743,211,399,269,404,716,387,898,644,944,390,916,598,679,258,404,
518,321,251,425,609,636,473,455,315,409,754,802,612,063,618,156,609,957,497,
680,589,439,114,840,038,509,148,174,648,169,913,377,033,681,123,075,991,347,
091,137,762,642,727,176,858,602,549,523,662,163,870,764,275,485,323,806,829,
695,926,035,321,392,729,771,797,811,800,304,970,297,025,611,610,542,467,791,
390,118,577,169,278,809,499,749,320,669,314,315,980,230,813,707,709,217,874,
874,774,364,646,768,679,191,181,475,225,935,059,877,355,951,160,649,111,716,
091,229,591,663,996,765,933,064,299,633,652,936,887,260,374,609,581,353,223,
327,031,387,654,597,032,996,004,016,330,159,904,906,034,511,358,513,261,947,
126,489,308,065,945,795,103,461,295,762,096,428,493,831,165,046,100,697,638,
509,575,312,886,574,912,823,735,936,979,109,799,298,143,977,239,832,895,159,
211,776,212,939,892,350,118,660,800,798,218,555,058,230,218,376,449,911,983,
133,443,298,070,154,972,621,478,890,459,899,122,819,642,299,539,256,096,721,
751,823,037,157,585,452,015,549,314,648,838,042,791,089,418,651,026,552,720,
643,373,735,711,716,850,350,142,466,938,933,851,069,859,404,345,752,407,401,
876,815,690,646,431,324,353,386,681,102,331,866,151,029,063,767,680,677,717,
195,808,878,035,587,614,670,116,768,655,028,100,661,224,750,486,789,060,297,
600,168,679,102,614,589,410,180,692,525,191,575,351,218,988,249,026,598,761,
672,490,754,270,461,159,233,720,335,257,450,802,852,056,486,543,693,466,331,
122,092,781,461,926,261,339,194,237,431,513,016,232,616,085,840,053,080,924,
339,505,487,149,964,840,314,957,572,427,401,801,280,767,992,585,319,318,367,
362,469,193,962,960,207,076,126,650,660,628,512,349,606,645,088,679,211,003,
058,366,342,298,865,999,383,321,092,518,319,837,108,073,082,994,120,714,634,
991,552,651,518,747,112,771,459,441,008,530,587,793,251,026,375,484,175,845,
129,983,934,446,566,232,871,924,020,064,001,911,077,662,895,377,159,189,457,
140,466,110,128,038,310,228,124,607,978,483,206,867,177,019,516,957,277,700,
813,581,592,069,528,511,916,728,118,297,991,449,728,669,559,637,707,787,933,
507,038,321,302,672,599,953,629,927,825,923,524,012,213,672,508,498,593,252,
276,127,115,478,968,158,885,524,392,632,179,706,485,531,424,157,360,382,785,
865,599,466,129,385,636,013,791,103,739,176,882,899,223,646,488,131,220,420,
070,690,485,322,870,034,497,398,592,347,114,734,731,667,375,879,858,723,423,
618,460,469,079,808,798,023,942,578,082,871,941,309,431,598,789,804,476,194,
577,680,157,949,094,600,376,092,260,225,906,760,265,058,227,417,380,992,160,
666,706,516,588,571,396,676,566,753,815,701,853,002,079,425,233,093,713,950,
557,859,865,204,150,820,262,198,927,101,574,852,062,375,969,800,839,111,922,
796,059,932,470,753,279,417,235,792,735,957,602,669,577,940,791,484,095,026,
135,602,758,304,625,604,129,501,799,992,989,513,763,150,452,165,735,833,115,
376,655,734,874,234,497,271,778,253,807,771,780,452,186,915,776,385,663,381,
510,920,839,334,124,581,750,915,704,747,537,535,839,274,393,363,140,988,935,
501,506,412,994,870,743,700,734,000,910,332,853,044,627,216,315,108,215,673,
670,394,520,026,473,820,452,545,384,052,687,967,186,107,364,834,059,314,871,
534,591,982,168,698,421,042,938,485,164,941,732,377,255,331,290,027,186,559,
516,657,020,071,682,337,330,840,045,730,854,889,136,969,234,813,880,673,463,
241,112,675,713,459,798,194,496,674,689,456,553,825,591,809,331,566,103,089,
381,957,079,765,710,073,545,649,083,612,873,018,702,976,214,454,074,505,799,
234,107,536,718,011,404,900,170,814,735,579,180,411,169,468,316,374,253,302,
205,230,488,590,211,678,289,537,145,837,865,703,055,384,330,859,798,238,744,
152,438,315,841,766,800,433,326,547,708,654,682,029,548,846,351,702,338,525,
007,518,210,033,931,237,168,201,352,318,444,649,934,067,210,299,053,147,122,
275,366,856,422,938,205,334,863,963,899,655,577,528,834,967,565,872,397,220,
111,260,021,825,200,399,549,886,458,941,139,868,214,587,183,762,668,120,707,
227,528,484,100,665,177,727,255,262,304,673,803,922,187,982,910,024,994,301,
156,888,340,572,324,035,495,387,243,082,179,162,134,752,909,020,596,964,789,
633,261,756,292,217,110,321,106,576,810,166,488,059,058,186,439,312,580,141,
404,379,117,072,839,209,529,305,517,523,297,654,224,649,507,286,219,065,236,
406,739,508,620,803,908,133,018,228,018,184,843,050,858,145,538,420,070,657,
518,171,968,920,394,568,070,631,965,536,482,986,003,551,583,084,530,711,947,
124,622,683,316,535,998,424,196,020,672,137,505,927,483,076,721,209,868,476,
756,818,771,233,056,274,962,942,102,464,815,151,140,400,576,225,622,408,941,
168,429,535,319,106,167,401,691,661,797,949,872,951,445,509,168,824,612,426,
413,545,254,828,506,383,386,564,118,247,168,118,696,761,968,368,402,591,133,
153,732,368,630,520,477,348,752,008,579,827,234,069,084,326,832,052,532,175,
388,267,866,796,890,467,079,640,155,551,487,309,035,109,700,610,528,183,182,
414,922,278,915,103,549,437,990,562,985,891,616,497,649,578,223,945,467,368,
365,877,865,933,815,664,370,705,251,038,162,094,545,385,684,157,259,264,072,
000,083,393,985,535,672,934,853,055,198,582,100,191,019,251,886,057,896,386,
205,126,130,454,062,616,600,158,985,368,096,630,371,264,929,655,129,320,565,
550,193,357,658,404,996,633,338,027,892,207,863,033,590,037,648,969,524,222,
975,768,964,603,697,566,835,725,315,166,091,909,406,317,814,603,577,867,996,
601,844,947,314,387,395,180,576,700,119,467,302,374,058,716,353,299,887,847,
420,535,972,093,001,832,907,788,252,028,270,449,400,755,773,411,974,701,858,
205,118,196,073,726,941,918,365,206,911,519,264,341,035,300,197,687,869,227,
333,452,854,774,030,308,598,746,202,800,147,583,252,522,041,134,786,187,556,
161,855,972,432,597,967,594,969,875,436,308,909,854,726,696,025,110,632,900,
146,907,027,723,939,094,458,678,923,818,716,043,050,405,860,916,432,748,378,
365,539,741,032,187,796,707,166,432,316,604,665,869,426,782,626,134,504,350,
297,357,538,563,894,226,552,907,917,626,029,042,768,002,790,124,208,627,026,
152,416,980,531,932,112,944,873,833,377,357,889,927,319,975,101,487,947,217,
789,959,635,496,728,898,319,668,150,803,712,457,620,528,273,182,084,159,099,
107,609,656,036,941,470,603,427,993,712,219,640,266,688,093,188,315,196,332,
209,948,614,847,985,553,898,121,898,414,985,028,627,931,121,613,615,823,345,
354,408,858,040,870,469,827,583,489,872,823,124,468,023,985,926,438,508,493,
186,773,241,216,555,762,046,406,639,991,351,308,246,163,395,781,157,525,843,
193,544,174,665,602,392,338,477,522,911,971,112,669,612,951,473,124,199,865,
154,253,070,018,958,873,295,947,127,407,736,462,752,697,070,094,314,794,540,
181,441,739,579,668,205,678,377,236,169,057,669,341,949,618,699,999,953,871,
166,494,660,178,935,530,379,117,974,852,100,653,370,583,205,866,008,928,047,
986,304,842,367,974,507,646,657,362,088,434,990,311,723,959,593,474,963,501,
301,824,292,397,132,533,110,646,607,018,598,274,178,466,850,112,624,253,780,
459,085,682,339,005,558,632,758,626,190,567,200,041,744,960,554,522,446,610,
037,604,071,906,571,481,254,177,315,699,877,297,504,672,413,138,375,831,493,
114,014,453,267,496,724,723,875,066,249,103,065,807,521,758,279,738,934,172,
031,653,231,105,495,504,664,389,321,476,177,049,123,777,891,339,554,336,522,
202,422,358,269,339,780,700,797,735,995,223,221,177,761,456,152,693,047,611,
148,746,704,427,171,853,711,795,002,937,822,591,229,477,586,104,952,195,479,
220,116,079,900,370,822,119,272,392,715,140,588,975,028,187,509,589,866,705,
638,558,775,020,955,241,941,200,547,817,380,581,769,996,304,948,352,541,259,
975,427,835,686,358,323,624,212,466,786,332,412,198,658,263,522,909,041,416,
439,333,361,987,854,204,091,267,107,149,715,066,743,323,194,781,114,991,691,
549,234,075,167,189,526,251,178,302,538,480,441,187,203,688,381,109,498,619,
428,928,962,687,873,387,463,724,186,057,625,058,496,130,576,960,950,332,657,
392,473,519,903,639,364,947,445,368,008,065,833,848,273,793,283,183,360,831,
143,396,754,430,492,798,986,141,452,148,752,018,460,210,831,110,400,189,267,
545,192,767,758,201,315,486,475,095,915,984,631,169,906,772,513,472,653,337,
701,466,931,291,553,326,341,589,308,208,242,921,135,139,658,437,824,156,170,
245,088,974,087,698,639,500,528,303,032,656,401,994,237,433,484,929,209,468,
258,113,439,201,138,127,923,664,010,706,688,501,348,889,749,859,197,951,006,
326,860,071,607,318,084,761,251,735,379,288,256,713,051,524,784,945,976,466,
581,176,986,813,917,059,835,264,181,671,938,265,260,479,428,229,130,402,699,
922,918,224,376,200,437,960,029,661,030,744,724,617,932,352,489,656,384,757,
915,468,259,065,814,534,920,598,798,870,613,759,231,710,819,177,607,761,942,
809,369,873,949,548,615,769,396,182,255,633,502,831,043,384,902,283,204,888,
664,546,512,567,474,750,546,242,480,715,497,445,886,128,042,522,098,876,099,
004,534,207,719,472,467,327,062,287,548,618,432,887,974,749,616,820,273,421,
270,387,926,731,324,347,635,332,213,673,842,757,618,437,564,438,158,525,753,
594,217,385,501,194,923,485,792,356,009,753,584,558,100,400,732,736,945,535,
849,328,608,976,347,697,299,389,895,919,707,114,710,825,308,671,611,167,644,
937,094,096,395,671,865,195,725,626,889,285,043,758,519,771,787,871,568,985,
750,375,203,009,983,428,241,201,427,985,635,008,297,663,860,146,416,585,128,
271,981,537,840,959,765,677,153,044,085,504,074,388,289,212,083,166,776,898,
161,473,395,973,826,828,562,235,538,461,433,711,603,518,119,019,061,297,700,
644,526,541,251,219,495,834,688,267,638,177,319,130,569,087,546,108,298,618,
813,157,976,179,911,883,144,760,317,899,633,172,393,679,576,667,484,592,605,
838,385,003,681,809,963,803,856,849,630,049,227,331,456,186,910,825,798,988,
909,812,462,551,747,892,444,993,649,284,060,439,385,819,015,289,007,671,203,
278,220,713,846,559,361,204,257,838,131,522,098,428,802,476,991,024,059,014,
559,334,735,703,445,585,241,927,155,915,667,682,122,560,167,821,248,892,675,
736,111,576,512,622,750,238,046,405,671,888,995,415,947,262,862,992,642,732,
043,378,938,834,967,809,926,809,915,632,097,584,772,447,960,978,779,168,803,
050,958,871,243,703,624,161,558,676,268,994,200,084,896,305,995,731,108,896,
107,943,727,875,543,755,647,370,290,403,290,834,974,728,513,031,689,337,994,
207,755,523,276,485,886,859,142,823,633,276,068,028,842,417,994,830,107,501,
535,304,365,031,247,017,408,719,812,558,069,651,295,906,443,323,218,049,474,
386,315,766,309,264,533,101,396,592,631,242,192,314,318,445,809,846,204,225,
282,520,290,878,147,911,280,961,571,330,153,402,053,754,837,873,379,734,797,
297,538,805,874,058,040,769,883,304,016,335,185,371,959,545,578,608,080,296,
753,595,110,801,663,468,244,171,210,218,504,523,492,783,471,534,014,586,803,
256,491,178,096,197,918,987,658,946,475,360,142,017,969,042,969,717,311,734,
406,060,669,830,261,508,232,035,945,036,484,070,675,993,539,575,856,764,440,
409,780,071,330,343,124,288,581,939,012,093,471,769,777,944,554,892,746,775,
968,674,033,860,433,006,168,402,585,806,850,887,623,682,801,834,258,391,264,
436,691,161,718,232,225,722,133,942,105,730,795,081,693,452,971,317,459,559,
727,183,688,709,186,121,132,060,878,485,608,822,643,221,117,491,311,816,225,
016,054,552,757,492,892,416,486,216,011,202,020,955,130,611,026,540,282,713,
949,722,428,935,169,639,722,729,492,817,598,527,958,636,671,312,094,862,812,
800,306,181,425,333,116,229,873,998,693,772,404,295,294,577,585,108,583,581,
588,460,704,457,990,554,705,900,298,317,196,275,143,337,285,141,155,002,144,
033,849,828,220,356,596,046,653,893,910,973,520,827,025,995,139,490,093,196,
875,641,050,160,698,856,768,303,925,919,404,939,810,383,631,795,916,822,647,
023,085,954,265,638,571,742,703,915,533,527,847,651,548,021,592,370,528,941,
801,245,489,995,804,190,044,970,702,484,847,889,399,815,629,086,171,873,872,
389,132,336,785,171,541,876,305,504,393,830,196,443,212,916,047,052,762,073,
077,326,712,505,576,153,712,458,484,950,322,583,335,056,262,781,917,104,169,
607,373,623,609,074,751,489,741,471,455,088,973,375,899,810,711,952,649,237,
505,287,551,127,318,341,638,526,112,551,103,531,275,179,399,718,328,428,765,
251,093,985,863,833,133,423,538,638,032,097,122,393,573,509,161,910,763,949,
093,449,827,379,895,268,126,901,484,526,531,931,405,449,507,053,614,843,612,
898,609,645,175,087,266,467,207,079,736,644,349,531,392,489,141,399,657,154,
303,645,999,549,014,094,780,526,389,715,022,221,749,364,775,935,859,856,752,
835,267,254,737,324,646,247,249,299,878,854,680,415,393,444,743,259,525,166,
233,894,821,347,928,608,918,276,128,450,945,685,102,313,377,893,206,637,687,
633,950,499,972,988,709,327,145,782,923,591,483,318,752,474,063,511,362,780,
297,825,218,690,332,620,873,040,025,514,389,240,707,773,204,783,460,435,917,
925,531,954,249,364,223,805,597,607,680,693,924,729,414,312,080,836,374,312,
995,699,745,265,264,967,906,062,512,749,478,100,927,621,477,454,968,295,035,
629,201,554,709,222,628,313,819,805,733,479,532,977,136,421,416,964,648,174,
542,626,737,393,998,118,849,527,424,745,331,693,016,495,706,539,690,042,013,
906,230,049,962,532,943,413,800,987,852,652,978,944,100,736,630,812,652,830,
648,492,715,362,984,442,112,879,692,590,588,878,523,401,524,619,530,064,320,
366,113,438,196,080,945,169,633,188,188,099,561,330,077,657,620,533,807,659,
901,821,260,207,292,010,438,520,638,932,386,209,312,153,973,832,955,599,108,
256,685,179,523,154,817,010,157,411,080,054,262,652,237,274,587,760,775,761,
455,440,865,039,800,635,484,236,876,495,144,808,599,695,909,617,774,902,004,
558,810,273,623,315,026,085,413,570,341,202,474,016,526,972,002,582,309,750,
940,892,300,535,331,352,534,359,780,886,632,370,878,322,453,366,525,463,808,
193,317,004,548,794,661,435,699,146,776,250,438,436,784,431,466,584,752,064,
074,741,017,028,086,161,971,045,112,553,656,731,064,533,297,617,007,438,921,
875,745,730,133,484,220,064,007,324,444,788,495,906,567,184,819,447,513,810,
143,953,234,076,126,478,930,336,960,585,531,672,704,648,720,434,230,694,103,
420,582,644,949,080,963,060,595,820,834,411,421,949,749,170,707,180,565,753,
885,828,333,436,703,582,369,619,949,842,639,609,086,561,745,067,156,952,647,
385,481,914,323,348,596,670,486,168,126,523,993,277,942,419,054,551,817,160,
058,173,757,718,610,243,585,380,236,115,374,102,675,912,644,211,178,887,066,
153,688,858,234,875,957,537,562,124,673,371,321,320,580,438,462,544,372,518,
307,899,852,283,505,049,495,007,206,669,463,757,213,141,145,535,318,376,067,
970,389,357,912,167,584,420,355,250,211,307,599,097,102,136,356,538,091,405,
368,624,577,607,259,728,075,544,052,828,574,218,784,258,335,582,931,646,346,
820,641,416,156,791,699,155,688,870,840,970,407,072,628,879,341,121,685,779,
382,405,246,360,328,669,756,349,094,242,096,961,208,307,173,557,211,413,034,
420,287,605,930,269,714,532,041,991,652,384,152,679,708,318,463,305,873,183,
699,000,924,831,852,448,415,569,544,713,991,015,461,134,404,136,908,561,852,
221,711,575,176,645,611,199,796,971,806,749,655,061,359,802,346,277,884,951,
722,256,539,259,311,914,191,466,455,664,175,477,805,471,697,764,124,131,976,
634,598,560,097,087,588,910,641,739,547,231,672,851,424,194,781,777,582,930,
292,674,185,405,773,272,063,850,912,756,047,875,284,524,292,499,442,574,312,
133,760,831,338,794,663,361,551,743,663,481,814,062,758,537,766,676,503,048,
649,742,485,467,927,186,174,034,187,443,914,772,439,525,467,855,179,602,555,
264,798,400,344,277,575,510,732,084,311,306,240,595,005,716,279,104,599,633,
380,921,451,251,330,868,501,948,528,811,739,953,137,840,536,031,551,553,709,
067,786,804,394,736,037,400,017,151,655,836,182,023,098,647,727,554,766,683,
438,636,033,243,571,747,356,272,276,122,934,531,261,201,338,453,672,248,524,
689,490,948,569,493,792,502,691,023,585,722,323,551,843,231,992,303,032,356,
204,060,322,591,887,882,572,731,893,662,520,593,430,823,354,981,274,307,439,
835,164,398,544,503,376,174,153,704,015,980,285,901,953,163,560,506,269,688,
042,972,497,134,083,778,909,993,761,431,478,618,757,789,815,629,859,425,533,
891,550,984,255,218,399,427,697,034,973,815,616,689,946,129,962,799,345,478,
773,724,451,264,873,921,273,996,604,690,572,033,764,454,141,711,527,724,713,
291,043,879,164,123,293,743,807,628,723,182,087,112,852,911,632,621,722,287,
249,637,182,840,368,612,090,689,747,952,365,409,183,167,146,158,673,456,701,
689,152,411,592,985,226,531,393,724,779,550,906,756,770,716,170,084,751,350,
996,528,724,765,234,287,071,125,064,340,980,705,142,061,450,328,557,906,123,
727,999,927,574,122,654,311,511,861,088,710,968,308,870,801,085,863,904,098,
069,587,570,752,382,049,809,507,620,417,651,229,507,610,973,296,327,187,758,
792,113,945,321,499,604,331,423,583,555,213,870,933,488,127,593,726,850,226,
931,187,877,833,260,580,502,249,097,083,300,095,658,772,883,648,572,077,467,
470,103,914,801,775,058,673,483,889,729,966,041,370,187,092,639,653,626,313,
671,657,670,216,012,673,089,232,229,622,367,769,457,244,755,862,741,081,179,
758,653,928,318,221,147,585,876,608,481,515,713,951,580,674,277,810,211,313,
198,724,260,420,429,693,459,071,104,738,774,090,337,194,267,983,327,261,895,
875,959,122,174,466,623,773,287,361,791,260,314,639,675,220,760,605,701,620,
919,323,239,840,110,558,903,556,182,926,275,988,062,771,101,790,709,359,088,
360,346,391,838,808,615,696,605,545,688,622,882,946,531,367,234,816,043,406,
031,995,294,670,238,772,903,408,828,995,204,916,842,957,464,730,952,183,246,
728,569,634,136,436,035,969,332,844,127,751,138,302,564,668,489,748,696,627,
954,086,462,592,710,118,678,406,794,345,620,159,536,408,792,683,719,087,725,
792,663,868,904,034,792,774,892,289,565,737,047,247,273,670,834,255,409,397,
088,021,955,362,826,730,262,771,008,893,890,036,323,878,946,377,846,379,003,
390,396,427,542,925,889,629,917,490,651,123,577,412,142,399,508,545,095,755,
443,631,346,898,237,542,790,496,503,162,454,159,904,399,428,074,778,437,271,
585,001,201,597,356,135,379,138,091,918,630,125,937,080,531,294,513,222,192,
394,060,675,327,934,408,869,951,243,891,249,432,139,017,427,055,159,921,487,
914,475,085,716,512,649,376,360,321,538,523,926,731,804,236,535,603,933,396,
335,080,028,646,795,454,373,999,688,121,594,302,664,246,312,550,730,296,183,
690,499,542,753,326,802,008,404,673,728,550,036,897,147,848,703,482,885,463,
187,494,166,183,019,950,540,873,332,790,938,674,851,624,459,196,598,134,786,
074,594,843,625,114,278,652,591,564,227,674,764,493,068,365,878,309,954,088,
068,103,635,057,357,304,404,361,092,118,180,259,935,767,306,958,206,868,609,
243,323,201,024,004,941,175,451,273,177,621,548,923,930,189,234,328,363,446,
170,550,407,440,802,635,944,401,908,270,059,298,887,295,063,310,794,001,322,
065,446,137,360,659,490,592,433,382,869,045,417,215,637,622,569,115,721,448,
851,727,177,256,278,991,796,874,629,641,351,428,519,194,911,087,804,189,271,
040,276,299,429,228,191,901,360,743,366,491,515,999,570,834,974,791,452,927,
978,282,136,841,806,230,860,254,045,026,555,446,407,801,523,562,112,689,566,
652,276,818,798,935,551,465,054,495,475,144,101,715,331,944,270,731,762,387,
137,329,220,940,815,518,677,398,551,941,746,607,689,364,651,432,400,714,642,
956,143,479,040,764,343,297,971,217,651,292,796,443,934,862,743,852,770,062,
562,511,302,489,658,070,806,533,887,149,122,003,898,062,680,525,552,396,608,
550,488,132,147,568,539,491,777,989,693,661,080,229,899,282,334,829,326,013,
033,125,091,397,243,768,883,945,291,294,766,265,935,372,296,633,238,063,716,
830,909,116,612,578,340,277,835,930,056,785,167,588,717,324,420,265,619,329,
893,907,246,242,824,156,324,789,939,665,900,253,446,645,396,498,041,551,060,
971,514,344,165,181,469,907,001,452,078,970,227,091,373,024,119,273,165,984,
283,790,540,103,618,033,123,752,080,239,303,129,749,057,349,700,682,032,333,
782,784,395,408,741,184,214,385,131,396,215,723,003,293,278,998,803,277,809,
569,425,245,798,941,496,816,029,385,443,534,943,189,472,447,540,680,981,512,
726,344,634,361,561,891,165,352,560,242,779,790,755,193,386,781,102,918,294,
129,739,783,280,370,769,797,579,643,941,751,585,592,432,740,306,768,231,147,
374,427,725,112,956,503,965,340,456,985,342,028,533,652,502,126,848,241,560,
197,334,312,113,701,086,632,421,893,765,312,725,115,196,631,426,916,528,780,
029,885,842,284,447,736,131,525,211,399,907,545,794,382,569,801,955,153,453,
429,777,972,196,256,963,510,478,693,355,168,625,244,612,818,294,631,537,518,
707,775,244,768,629,287,352,871,523,109,090,895,099,558,029,816,630,453,924,
773,284,791,409,494,683,182,672,529,593,186,038,242,616,025,954,774,588,336,
021,901,519,040,810,054,804,795,300,167,973,257,599,427,852,924,301,101,247,
784,001,517,668,328,501,643,128,374,165,512,729,601,349,211,011,969,138,852,
672,586,550,492,618,042,184,038,701,354,014,045,499,531,088,471,746,058,308,
590,358,457,606,576,670,038,202,173,161,466,484,723,722,162,181,099,200,670,
727,884,578,994,071,071,077,588,879,934,833,105,025,092,814,367,575,443,130,
689,353,305,315,821,436,957,245,021,128,746,159,213,869,105,436,446,158,859,
447,442,948,314,619,163,226,376,652,450,412,823,871,857,388,807,149,575,539,
020,223,477,791,020,781,457,929,716,268,482,766,721,179,471,246,715,598,167,
545,158,292,574,678,707,094,928,697,614,464,171,847,488,026,609,903,211,160,
423,621,243,514,004,092,897,692,472,727,264,370,240,492,836,369,173,366,351,
027,569,738,963,556,475,576,308,879,199,666,923,533,309,864,262,506,320,344,
659,148,674,312,080,126,808,051,529,000,578,907,582,795,581,667,188,774,278,
833,476,833,837,140,310,002,109,327,524,846,893,874,429,710,056,905,354,661,
731,308,136,641,699,450,753,060,622,364,804,979,162,700,361,731,275,766,589,
136,447,595,081,317,706,799,400,134,760,850,220,967,162,337,141,036,539,100,
950,229,933,863,463,239,161,049,806,897,384,487,462,662,072,439,267,790,325,
393,787,446,717,590,464,154,144,586,500,828,617,035,221,107,084,905,942,719,
821,879,668,612,011,172,438,649,675,041,449,219,314,424,183,306,048,131,794,
310,000,008,102,797,532,188,085,762,586,286,324,174,583,922,263,792,560,616,
073,428,661,108,453,793,553,677,352,422,895,201,183,188,146,148,798,412,795,
677,857,675,162,897,650,469,107,173,177,431,177,313,394,784,532,473,254,712,
661,532,426,630,611,799,059,504,261,346,079,780,610,211,468,679,640,299,959,
003,303,447,115,626,115,371,100,992,597,153,033,427,250,185,382,212,790,035,
465,208,062,835,068,994,858,053,389,470,765,799,610,345,234,792,041,234,330,
748,703,447,177,703,740,435,494,848,101,936,201,696,544,013,220,565,408,813,
861,634,452,960,429,885,669,189,974,258,952,835,677,291,078,457,383,235,679,
504,684,429,400,643,839,282,900,201,012,355,923,521,006,846,543,753,499,002,
470,621,785,410,025,797,868,023,143,319,131,437,861,455,695,669,712,713,070,
514,919,079,136,311,916,852,199,919,929,609,383,114,302,420,309,667,043,588,
083,505,944,904,869,683,619,634,009,827,656,011,424,284,309,054,138,913,303,
283,993,521,501,430,358,003,843,086,000,920,017,298,308,022,127,871,644,893,
221,331,323,994,513,651,271,283,989,275,755,887,915,627,953,965,394,698,388,
367,724,860,981,360,455,065,920,925,008,527,740,091,353,603,507,741,297,470,
470,044,273,114,520,409,339,741,500,054,257,607,879,928,395,326,909,954,853,
868,715,002,429,621,374,972,107,013,647,677,833,118,329,482,154,975,233,499,
020,865,373,313,578,646,324,484,645,007,533,891,520,264,772,302,624,439,287,
084,710,807,819,761,286,244,971,109,179,044,512,210,925,198,627,854,592,736,
187,847,342,322,964,838,210,733,564,528,914,753,494,552,486,912,948,401,758,
776,895,904,788,075,152,452,395,422,194,648,555,108,735,875,859,260,722,615,
153,112,511,795,805,196,835,126,287,452,731,609,440,317,487,992,565,674,096,
323,037,958,319,158,990,285,027,947,228,439,865,116,593,155,733,954,075,464,
722,030,332,028,109,518,276,106,734,238,585,059,346,817,593,388,365,543,714,
203,405,407,217,211,605,552,550,833,393,449,129,165,026,414,692,635,323,421,
847,051,190,190,097,447,035,604,414,400,203,056,746,469,957,428,036,913,987,
127,895,039,541,261,928,054,854,922,669,036,088,793,319,314,784,678,125,397,
568,449,004,550,696,568,633,989,518,704,856,073,063,775,882,902,775,488,022,
860,678,093,374,389,655,730,739,352,258,854,046,820,718,714,341,571,287,161,
622,119,984,191,166,971,488,360,107,003,568,951,300,113,222,232,062,697,363,
734,433,458,124,049,386,157,642,580,255,493,757,781,400,292,651,778,025,521,
192,822,776,183,300,987,535,824,274,403,724,642,508,062,240,783,683,835,939,
068,792,291,579,448,654,430,928,426,437,829,890,695,233,514,377,062,919,672,
382,046,483,468,586,143,167,699,641,460,576,306,971,474,929,933,503,019,268,
478,080,040,222,480,499,375,865,655,960,320,763,174,131,398,620,318,200,519,
336,371,350,914,981,082,533,831,110,700,843,770,344,586,170,281,296,809,349,
197,584,731,713,788,100,463,892,433,405,268,136,837,401,646,262,123,322,872,
391,764,970,817,398,599,666,014,770,842,898,324,372,916,941,855,851,203,611,
649,119,274,450,519,524,682,209,553,174,589,761,604,890,483,518,301,390,838,
779,428,304,306,756,371,371,056,765,844,088,999,059,195,936,148,643,053,402,
536,526,795,140,102,057,371,132,224,170,248,089,743,461,396,562,754,239,351,
031,467,890,761,036,462,348,183,262,337,078,657,792,226,922,368,505,233,011,
704,806,279,729,159,884,189,795,454,534,539,549,711,870,843,442,861,997,263,
316,939,853,036,319,507,029,441,079,900,655,367,274,945,277,478,814,673,447,
594,783,711,298,870,325,396,834,146,393,607,629,976,098,729,607,113,773,511,
172,886,628,556,921,983,007,604,579,062,987,256,741,855,013,248,957,447,995,
994,106,637,647,333,701,685,513,853,274,137,948,526,255,831,446,412,154,412,
436,273,004,299,604,896,915,119,369,312,686,191,634,093,929,037,199,098,888,
323,535,086,818,752,390,164,310,151,469,412,494,487,836,802,172,798,165,876,
372,618,473,158,116,875,458,770,639,523,582,818,550,542,280,143,434,251,673,
076,207,912,019,804,916,141,023,279,451,219,378,700,587,490,807,050,495,677,
676,255,992,595,955,177,763,085,172,625,815,076,484,768,866,810,741,012,293,
371,607,369,093,581,106,639,169,091,370,091,851,478,486,721,634,921,641,891,
099,899,116,697,075,378,659,997,575,755,555,604,881,847,094,249,635,977,437,
112,023,544,045,913,071,174,465,459,342,860,343,261,234,329,416,478,626,594,
091,656,757,301,949,973,503,873,649,809,264,497,199,060,510,011,330,085,502,
204,091,540,515,081,261,048,356,132,810,809,477,423,605,490,375,905,972,784,
782,463,916,934,414,147,732,928,130,640,950,446,816,462,918,389,877,396,413,
081,744,810,753,908,737,015,921,507,218,746,708,411,474,194,100,082,973,718,
886,277,431,417,517,595,174,109,748,459,178,162,528,107,919,348,439,095,448,
497,568,936,970,446,410,435,319,340,232,529,356,444,527,735,735,618,687,192,
455,567,582,598,440,530,510,746,854,451,626,914,105,801,209,388,700,916,682,
793,133,339,319,470,795,685,422,464,072,555,213,365,198,237,456,034,907,058,
715,803,698,041,919,456,105,777,294,966,079,406,283,207,935,414,929,004,361,
510,810,483,143,508,781,407,642,134,299,872,109,562,512,293,277,041,087,634,
053,246,302,360,172,723,032,113,507,730,333,462,381,451,245,882,471,481,898,
474,534,409,303,556,205,970,550,277,403,967,252,325,636,368,371,609,083,025,
010,952,490,851,845,754,106,267,566,306,801,406,141,055,934,003,748,458,407,
365,415,784,213,863,048,018,868,393,468,926,309,207,321,236,374,508,669,719,
752,342,512,550,668,424,108,199,427,370,088,146,546,507,513,224,456,889,908,
053,474,371,709,262,599,030,067,718,309,501,096,791,738,886,118,399,403,084,
474,166,024,029,705,263,403,109,483,094,807,267,860,518,598,267,870,016,561,
754,656,615,075,648,458,247,950,656,367,309,724,901,317,699,868,962,667,208,
321,602,685,557,075,665,201,942,734,011,814,689,808,990,101,586,780,840,359,
739,258,361,110,722,964,900,234,465,761,812,346,859,703,847,749,395,544,613,
909,699,321,669,161,978,010,640,087,198,562,466,720,230,307,626,014,528,493,
231,463,948,297,011,063,928,464,401,329,816,823,033,955,022,063,373,069,271,
686,908,888,599,106,633,094,052,395,521,248,005,868,827,162,156,802,866,043,
225,587,411,923,389,605,730,034,578,960,920,862,796,909,918,239,485,298,342,
025,958,615,352,994,864,572,929,511,340,125,993,870,743,208,531,220,994,769,
428,206,079,157,344,318,364,949,029,102,727,881,271,151,614,136,251,985,318,
192,645,296,015,205,769,317,397,652,232,599,526,888,746,035,020,996,952,697,
552,276,138,237,954,815,206,870,318,129,640,435,204,770,648,416,760,805,615,
664,867,570,754,655,432,543,767,389,411,694,106,624,017,491,485,583,488,219,
166,761,786,543,567,724,391,037,444,486,922,940,976,419,010,795,471,861,363,
669,334,807,242,790,380,005,680,352,774,951,853,604,663,242,948,663,408,674,
985,455,070,884,573,995,760,231,800,754,938,657,546,767,691,417,072,324,868,
446,094,663,951,701,138,197,141,851,435,702,611,137,617,820,793,814,759,164,
134,731,235,541,591,365,926,309,595,619,014,683,395,181,835,216,710,120,239,
023,017,104,618,909,534,609,991,504,230,216,573,060,398,213,298,629,326,623,
529,298,204,577,671,406,405,463,455,046,634,520,580,559,326,944,373,504,672,
959,206,085,740,931,237,730,293,084,238,633,084,566,207,499,936,677,013,417,
114,943,768,058,507,262,578,647,628,384,681,486,993,014,653,532,402,818,595,
960,146,262,426,922,251,322,661,000,230,611,515,832,616,114,616,832,171,904,
388,884,877,216,212,918,544,918,310,159,816,502,872,583,844,128,125,284,321,
478,485,481,851,509,030,370,616,569,420,328,803,699,304,018,453,208,963,581,
127,136,846,212,048,167,449,975,330,041,437,256,260,109,711,496,319,301,721,
052,665,421,371,967,044,288,526,629,560,068,479,874,881,386,818,354,236,613,
396,433,371,049,105,741,330,541,133,895,758,840,407,204,571,955,052,460,152,
599,530,600,101,900,165,571,856,669,838,647,192,598,778,805,010,571,434,974,
842,156,986,354,786,332,701,049,873,528,619,872,102,376,830,527,692,242,685,
890,173,225,196,611,293,858,268,215,736,266,662,523,140,081,951,355,698,302,
891,442,021,778,993,296,440,692,522,543,972,244,223,885,075,734,139,164,081,
831,851,330,828,367,624,735,147,915,509,998,707,654,720,145,395,164,370,899,
125,569,932,362,383,900,616,662,988,025,106,376,334,433,890,653,913,089,005,
555,282,038,033,610,677,780,825,036,367,899,198,522,126,831,261,662,537,857,
320,625,692,698,522,084,734,934,567,217,025,484,910,762,428,917,483,790,014,
875,649,355,945,637,586,469,601,474,187,834,459,826,262,335,822,102,931,263,
059,933,670,786,141,499,585,392,895,414,282,922,868,047,109,638,102,947,835,
744,361,820,617,049,393,934,369,053,782,073,256,310,460,830,285,701,775,154,
637,056,754,518,840,341,925,466,051,078,986,348,965,103,304,552,235,736,193,
339,190,453,176,535,005,581,404,645,292,571,545,922,665,202,824,173,107,172,
884,065,769,686,626,915,736,714,138,091,953,979,259,185,534,256,565,447,997,
590,659,398,228,636,511,434,657,643,417,266,610,167,159,802,490,278,418,547,
067,652,974,432,498,660,548,340,853,975,659,550,014,536,257,957,228,719,918,
252,324,958,200,816,639,862,771,623,962,090,831,914,164,485,616,237,858,308,
913,482,708,426,949,663,429,600,872,062,180,622,754,007,997,200,895,399,000,
517,445,419,039,817,837,795,861,866,022,081,805,903,038,995,672,380,608,710,
981,320,918,930,351,126,467,977,329,619,715,726,166,631,872,199,182,608,280,
723,935,903,948,355,603,444,567,141,494,677,309,007,894,659,690,023,542,060,
525,617,230,830,175,051,214,391,202,214,633,220,033,876,810,068,208,577,515,
205,380,900,484,178,887,905,280,948,455,515,240,156,063,908,867,972,583,937,
406,744,100,095,321,931,695,294,718,988,591,570,282,818,163,965,621,902,228,
774,467,995,341,748,464,649,358,852,418,597,581,700,694,910,263,501,436,316,
619,245,236,670,245,828,625,287,300,380,012,447,687,982,998,750,159,922,474,
830,495,604,702,540,828,404,906,468,666,873,894,389,741,902,311,101,817,306,
243,868,502,011,131,503,876,744,716,209,031,127,215,151,230,350,140,315,414,
096,193,271,176,048,998,358,371,945,367,470,914,221,428,985,166,459,362,661,
189,515,799,545,593,814,280,761,030,429,623,622,512,360,891,625,800,354,544,
020,765,867,848,106,413,623,451,081,266,528,530,262,104,806,699,872,906,544,
998,777,436,178,454,998,202,814,341,587,167,740,205,537,478,921,294,366,866,
647,965,379,708,063,862,629,009,307,592,668,114,797,034,616,678,908,556,364,
761,485,410,211,980,200,505,079,804,250,121,607,597,062,261,096,815,235,020,
810,474,181,785,405,881,220,698,486,617,494,661,169,621,230,828,929,333,172,
832,034,517,743,327,844,037,810,831,391,959,706,731,635,375,197,284,525,118,
792,999,526,670,834,106,453,079,904,379,435,223,827,060,369,756,430,451,072,
563,521,634,201,088,823,607,916,206,121,814,256,806,748,671,207,769,858,403,
627,867,113,843,488,298,969,802,867,311,547,031,177,337,392,424,761,907,579,
160,410,447,963,977,077,423,458,164,000,071,444,115,863,660,849,685,496,690,
909,462,260,398,899,009,697,977,063,452,613,148,141,020,736,481,784,695,862,
057,954,525,798,900,457,537,510,521,825,962,344,987,654,182,129,496,112,702,
222,786,459,324,354,495,337,206,404,670,274,294,702,509,045,920,263,282,258,
103,143,059,282,206,529,363,764,321,285,467,658,755,932,857,663,445,579,967,
214,156,380,024,169,940,125,924,878,387,193,990,781,647,451,245,758,266,898,
153,096,947,551,113,296,861,295,741,872,140,237,825,875,718,569,115,046,905,
625,973,413,126,128,035,846,934,270,389,487,464,004,457,348,939,252,264,607,
094,621,528,520,380,636,094,584,705,648,758,141,181,239,760,104,193,791,793,
752,659,965,871,615,959,858,496,067,410,882,593,424,457,849,803,750,726,154,
113,592,420,949,102,410,091,177,540,556,714,253,230,184,100,150,790,709,910,
136,660,746,817,325,822,710,236,730,299,378,553,911,350,471,285,370,023,966,
681,110,575,212,915,170,332,104,967,195,515,056,832,287,998,029,793,709,989,
630,407,401,937,531,030,390,865,368,540,945,212,343,768,997,590,150,350,442,
081,833,883,690,341,050,359,968,473,930,717,550,788,693,859,711,776,672,272,
925,576,749,118,339,788,601,660,050,940,942,437,762,906,077,264,562,060,312,
301,721,302,283,115,552,423,202,786,981,290,419,735,585,489,427,140,734,323,
540,965,789,502,699,645,716,173,409,925,843,319,792,419,334,519,594,049,866,
723,568,245,882,333,952,687,519,908,615,684,237,235,478,932,153,873,081,619,
461,303,888,065,622,799,178,252,671,527,556,440,225,066,768,206,087,531,662,
750,374,778,409,218,527,061,237,996,185,812,048,642,575,609,598,750,797,533,
667,074,224,360,483,201,960,621,312,061,672,204,115,602,249,038,089,202,784,
757,730,040,781,952,205,842,342,421,388,921,216,007,664,647,313,403,229,558,
894,753,796,895,184,483,219,586,215,443,433,368,162,209,599,644,947,396,468,
396,598,927,255,436,795,864,369,783,714,702,467,275,446,838,720,032,649,475,
760,721,609,455,325,118,028,167,324,289,850,488,285,368,561,086,979,287,939,
837,823,148,406,864,535,140,425,928,326,011,441,015,693,553,668,658,640,834,
288,177,345,281,975,751,417,738,909,564,158,679,837,587,875,961,709,911,595,
907,068,153,046,258,321,981,261,629,549,429,834,728,710,129,890,892,731,271,
526,315,954,943,228,408,943,197,114,638,069,216,369,119,242,734,512,205,196,
453,410,109,308,337,143,637,077,439,910,750,785,298,204,585,264,411,842,789,
103,512,428,062,046,391,649,231,279,358,998,562,652,392,914,331,030,742,648,
233,371,758,296,541,417,201,407,474,234,627,465,150,924,235,987,458,645,779,
676,215,797,421,799,069,984,731,348,542,894,054,939,022,392,386,880,786,570,
265,778,079,200,957,229,956,740,062,990,222,952,351,351,065,561,151,077,415,
164,516,187,512,598,669,893,017,571,636,303,852,413,673,099,702,492,136,943,
520,938,679,109,527,323,826,657,694,874,301,104,020,724,174,088,614,636,540,
040,867,801,052,344,083,428,308,842,031,359,962,033,747,553,633,551,389,611,
477,246,007,531,449,946,589,325,414,128,965,907,177,394,573,019,854,993,583,
321,380,150,543,376,327,156,658,475,862,609,014,892,133,035,447,369,548,267,
773,176,013,876,806,108,316,982,873,651,886,566,043,357,880,228,682,102,764,
228,084,593,601,425,200,818,569,166,231,103,504,092,670,553,947,507,464,499,
837,203,157,551,573,245,711,409,720,168,887,955,466,905,668,916,148,409,794,
365,735,726,397,531,210,254,296,447,186,363,059,983,886,352,439,917,502,411,
664,094,113,580,042,728,768,758,631,131,160,482,922,444,254,502,253,017,499,
729,750,234,986,843,384,686,719,927,688,176,009,227,520,967,780,966,658,544,
272,552,647,293,583,295,424,691,733,953,502,629,580,487,803,950,359,592,233,
644,265,772,159,269,734,111,640,168,446,528,817,803,600,682,014,807,840,694,
301,729,442,631,035,359,334,491,511,640,142,115,907,064,046,264,851,010,459,
986,054,406,715,987,819,217,746,122,392,688,714,287,191,812,904,218,982,447,
899,187,669,213,931,396,740,994,191,927,789,151,834,556,385,369,257,649,271,
491,482,779,555,410,102,030,658,137,114,521,366,934,873,958,440,679,380,880,
124,195,347,811,919,522,948,533,412,267,523,248,156,144,915,012,723,615,120,
658,498,537,448,500,918,800,799,321,399,297,493,324,228,183,262,712,987,579,
059,660,957,978,909,160,317,748,430,983,990,022,783,302,269,665,058,057,253,
761,978,537,651,860,811,218,375,737,425,872,352,663,647,058,496,165,779,363,
860,147,950,899,336,057,997,295,554,464,702,547,065,213,538,190,187,511,048,
903,125,345,403,008,532,681,018,220,946,526,726,622,002,556,954,518,482,521,
881,097,578,268,501,126,591,903,108,574,948,662,731,415,996,478,887,484,740,
519,857,784,553,802,021,226,648,400,143,756,429,860,657,731,525,799,950,123,
533,052,777,970,090,404,812,939,078,047,775,202,214,236,107,538,644,764,700,
780,916,100,993,379,973,782,029,352,464,456,179,207,524,994,261,330,292,874,
287,586,457,890,935,047,705,999,210,344,641,273,346,349,963,752,370,354,354,
986,825,982,865,313,357,699,334,458,705,338,111,197,610,608,060,910,548,223,
713,209,719,128,010,180,126,596,990,780,316,903,914,156,390,134,995,807,967,
633,068,917,881,489,112,776,047,529,435,249,529,172,284,232,422,998,916,742,
221,441,267,000,228,649,528,443,098,051,996,019,000,139,129,691,989,950,031,
908,615,753,697,106,529,464,178,291,815,043,446,475,317,514,576,694,429,548,
123,456,195,325,235,001,363,094,253,143,377,617,041,246,124,076,901,620,342,
760,781,097,414,616,116,134,186,795,100,129,575,760,625,920,061,461,673,030,
291,264,380,264,205,109,909,029,471,518,146,256,617,692,798,409,334,062,566,
466,025,838,505,664,234,985,906,177,911,471,337,827,578,549,000,898,717,195,
020,303,248,452,303,028,829,085,863,927,658,418,482,777,913,786,327,521,669,
631,350,369,242,739,818,291,934,883,770,256,875,083,308,296,231,463,697,524,
614,202,081,486,109,358,585,854,047,214,655,502,354,228,395,397,845,619,184,
435,946,571,201,562,486,691,869,336,012,633,290,483,595,900,848,227,186,560,
712,324,889,186,622,137,226,098,471,767,371,941,079,533,649,409,883,397,758,
877,278,483,149,982,026,360,300,072,440,430,430,024,818,461,610,008,799,030,
456,469,483,641,541,483,517,358,197,806,250,605,154,964,841,099,346,354,742,
741,796,244,223,454,685,740,312,419,117,281,871,487,575,405,247,937,508,144,
624,330,003,001,130,248,526,075,591,423,473,467,877,678,652,886,003,970,353,
662,618,090,085,526,732,711,132,328,158,083,371,269,560,127,127,467,322,433,
619,692,467,578,737,732,379,617,877,354,438,287,667,234,593,545,830,599,153,
255,584,411,156,439,679,686,579,458,117,172,612,157,276,988,816,705,413,495,
662,425,283,794,851,896,100,471,220,556,314,121,514,188,298,375,329,359,805,
795,384,966,368,149,342,193,924,368,566,083,349,425,166,338,280,422,133,450,
308,536,783,909,806,041,196,171,207,710,616,198,220,715,459,173,603,117,063,
739,240,854,756,701,224,676,770,527,714,625,753,715,172,123,373,617,657,401,
264,922,230,709,246,328,497,368,893,198,631,953,041,952,828,643,642,979,405,
106,845,258,934,781,879,453,206,626,997,334,517,142,800,042,310,131,237,919,
147,492,761,775,290,668,230,449,052,910,736,201,885,814,422,275,520,075,941,
874,620,251,491,303,663,592,664,913,627,987,811,959,065,848,176,636,407,590,
281,948,418,852,362,452,294,860,111,564,241,447,197,778,061,741,662,439,755,
532,734,874,721,829,883,784,687,205,434,547,676,424,293,459,543,843,844,299,
308,570,029,056,053,128,390,998,937,602,612,115,836,831,132,973,357,585,160,
101,186,906,440,390,296,560,052,789,158,048,736,545,816,541,713,834,920,846,
089,239,749,540,797,921,503,280,543,896,512,499,419,031,746,234,668,748,398,
061,031,304,094,879,318,181,391,686,490,989,399,454,444,532,062,147,783,182,
468,371,870,736,834,784,271,714,522,707,737,517,367,530,956,424,107,251,750,
649,169,044,623,182,162,667,495,038,013,545,469,857,399,485,396,021,891,455,
802,519,727,156,791,470,533,341,266,028,998,585,826,338,650,416,042,632,249,
889,043,612,884,026,775,226,611,793,781,282,221,775,191,621,124,196,726,201,
830,570,922,163,244,925,089,478,547,565,186,937,222,156,822,937,680,718,412,
729,021,103,970,839,258,833,637,392,869,426,981,286,951,836,761,873,476,914,
880,067,729,081,234,624,564,893,535,923,500,027,520,008,589,594,220,005,981,
389,276,967,429,106,478,881,309,587,917,901,346,512,546,298,148,823,514,837,
352,939,210,305,906,637,463,533,339,796,931,124,091,876,767,651,580,547,667,
116,405,726,468,840,821,068,065,762,119,882,412,717,036,143,788,315,775,003,
334,819,742,459,359,377,249,051,787,925,597,371,567,614,095,874,554,338,865,
717,785,740,476,890,350,901,738,834,242,389,811,686,774,926,789,124,177,667,
598,613,420,565,503,803,577,682,338,144,226,334,881,891,748,499,722,071,980,
078,302,602,563,741,104,243,021,185,882,024,745,832,440,765,296,759,565,994,
842,913,073,721,485,413,659,745,622,351,616,915,026,790,161,123,938,867,664,
033,770,516,111,221,665,401,234,130,342,813,355,238,010,348,936,903,022,515,
539,001,608,441,537,634,864,374,252,465,828,229,008,267,924,596,069,031,108,
814,139,974,141,996,286,114,063,156,470,538,351,692,319,549,870,398,915,490,
361,368,574,884,685,047,379,361,264,158,204,195,503,911,485,423,887,228,265,
824,021,583,446,199,874,677,425,196,251,852,976,096,536,025,637,562,190,236,
228,161,093,278,682,628,790,751,906,338,490,975,835,630,352,416,616,488,934,
666,951,051,311,443,621,834,340,101,424,478,832,702,450,356,032,945,119,343,
037,924,725,947,984,174,995,629,627,843,614,001,935,213,136,040,609,068,771,
280,697,703,703,380,771,879,252,302,849,267,695,069,373,356,500,700,249,472,
710,114,064,991,113,145,057,975,784,555,697,399,039,868,049,084,051,358,179,
935,606,357,074,748,233,890,126,963,787,334,500,049,064,596,194,066,000,126,
882,076,999,882,146,974,776,932,109,016,746,980,191,060,542,583,968,565,291,
597,386,122,614,891,217,372,174,763,936,459,718,993,946,244,228,816,142,350,
570,271,894,422,200,359,328,388,672,926,102,194,188,784,064,797,118,531,873,
284,845,958,776,699,965,703,524,053,532,946,966,968,464,492,501,725,589,116,
498,845,298,211,517,821,051,642,399,051,614,955,250,905,631,858,496,999,576,
238,268,165,637,496,291,171,194,955,738,590,474,213,727,451,942,734,404,368,
360,467,294,944,151,851,663,907,820,114,860,967,796,963,407,603,025,285,707,
094,827,991,345,149,122,468,752,259,868,720,935,858,015,585,041,553,764,168,
599,910,110,341,801,636,245,327,977,053,342,873,296,089,547,256,036,500,404,
694,037,635,444,216,925,633,722,701,637,056,828,030,115,954,760,572,202,038,
646,001,431,336,123,741,215,354,512,184,799,690,925,861,305,953,621,519,636,
579,411,069,307,229,180,103,014,108,472,050,258,991,890,360,878,331,934,354,
460,898,641,434,633,776,014,571,074,061,807,541,688,601,401,627,675,413,014,
418,568,214,088,756,421,799,969,743,148,478,596,749,898,819,941,116,874,514,
472,118,898,941,608,274,878,487,162,200,820,264,673,629,097,654,079,795,223,
697,510,771,624,092,247,450,323,683,752,717,987,459,611,681,020,276,623,048,
011,076,221,035,968,065,028,968,900,454,603,474,284,713,747,175,097,994,173,
218,952,123,781,441,571,752,537,914,596,940,362,736,632,048,163,699,349,728,
471,574,295,269,690,964,610,723,872,076,987,338,005,845,921,010,169,502,422,
651,054,513,677,974,389,680,207,622,985,105,392,858,138,261,248,183,203,892,
409,164,598,332,147,573,563,896,049,464,697,238,875,993,839,586,676,062,835,
301,220,076,467,876,934,427,513,354,260,840,262,974,290,969,630,514,418,609,
618,265,091,719,810,938,212,433,952,295,827,983,495,987,633,739,169,858,379,
055,163,180,592,566,209,315,132,521,334,907,263,061,687,795,369,622,298,229,
709,301,610,031,794,012,185,373,580,772,250,148,516,971,844,066,018,422,456,
197,772,566,505,649,256,737,043,747,862,793,390,608,467,923,797,885,610,148,
534,208,723,105,184,378,747,496,605,383,438,722,341,909,774,464,003,675,162,
644,390,202,551,287,029,514,117,225,759,882,556,567,945,033,271,426,174,135,
961,835,268,734,828,435,782,315,562,418,082,760,265,472,523,871,785,875,560,
889,418,415,177,149,195,352,724,295,610,101,251,988,664,090,373,440,768,751,
822,053,266,922,897,555,814,739,847,994,318,358,283,611,859,555,399,779,072,
270,668,040,305,055,813,720,685,557,210,287,554,853,432,422,707,505,332,573,
543,502,500,412,951,244,057,516,197,941,807,634,438,121,295,332,288,619,177,
269,282,119,833,181,359,248,090,575,380,075,626,308,795,386,260,827,646,608,
750,930,961,233,493,574,908,760,070,391,536,233,694,953,280,818,239,670,459,
602,589,030,540,514,561,787,052,583,918,828,984,859,496,306,718,790,340,425,
657,969,040,144,328,859,013,499,438,965,384,209,168,308,679,446,662,227,178,
249,473,527,150,022,480,692,019,452,513,976,336,141,320,474,537,628,119,173,
525,736,473,684,128,071,586,611,060,755,091,871,249,529,007,976,190,850,418,
903,090,838,123,226,480,320,142,062,773,232,501,430,161,053,321,900,570,621,
227,013,694,613,953,077,221,209,016,691,466,249,872,154,508,559,932,215,496,
967,566,381,972,252,039,631,820,515,225,987,549,118,152,340,956,360,153,544,
495,270,405,351,869,940,971,599,345,425,377,374,543,963,692,610,048,208,501,
669,740,997,871,135,435,954,178,309,777,866,881,575,336,590,072,370,074,580,
313,451,313,060,041,574,478,837,438,826,752,753,077,969,127,667,634,958,881,
130,478,399,120,318,797,351,864,918,214,784,792,812,587,903,179,757,967,090,
657,490,965,259,952,278,005,488,727,518,772,921,127,335,921,003,388,344,194,
949,606,448,990,706,995,379,675,806,616,353,727,251,189,777,747,516,183,983,
597,824,449,686,773,213,492,793,204,673,444,298,726,789,429,209,567,472,397,
880,681,663,783,033,297,491,195,502,217,334,795,834,991,613,461,004,971,993,
202,601,811,956,268,658,323,526,223,799,054,265,568,958,665,690,722,924,644,
568,195,874,628,637,311,388,760,354,547,295,934,107,590,811,808,286,931,354,
936,658,745,924,685,980,311,397,060,928,918,654,395,082,548,679,572,281,538,
095,177,121,072,691,695,571,376,945,852,614,079,782,798,946,305,807,102,679,
916,186,084,229,018,098,687,518,666,565,398,914,425,687,838,718,439,919,607,
385,679,292,964,526,984,722,526,183,006,977,406,711,600,113,266,393,799,742,
617,605,072,403,005,138,105,621,041,399,818,104,583,503,141,463,352,837,718,
266,797,843,451,702,295,697,938,974,283,428,062,999,236,944,811,850,139,661,
250,421,763,541,250,212,190,951,257,581,792,259,682,358,168,370,592,388,133,
464,452,334,461,934,636,948,752,344,228,203,759,181,346,842,841,429,472,420,
196,240,984,207,856,663,534,865,939,291,976,638,582,265,075,594,428,487,401,
242,818,636,826,281,195,626,706,913,524,087,918,566,334,689,637,492,300,855,
208,853,104,226,166,278,991,203,628,823,576,604,931,709,983,423,814,730,522,
420,524,083,406,339,753,682,119,640,389,391,968,965,358,909,919,405,733,349,
580,574,913,446,422,269,336,308,071,759,614,531,955,387,258,134,326,275,910,
416,570,471,553,351,861,234,307,008,162,934,386,239,439,667,809,498,310,306,
039,037,088,448,725,233,902,182,871,297,498,911,563,655,752,696,128,922,777,
105,005,607,349,623,671,624,782,746,295,672,085,420,815,862,039,770,970,690,
471,529,410,832,805,178,439,092,028,093,536,847,836,712,651,499,258,115,894,
991,429,033,969,191,551,197,420,525,043,515,675,209,959,946,607,598,264,998,
415,083,131,654,079,677,823,230,446,748,081,586,347,031,249,623,279,389,771,
651,842,426,403,934,287,348,488,360,697,100,605,510,496,922,751,234,123,136,
395,214,240,711,480,183,752,346,565,605,828,559,099,531,373,357,150,427,783,
353,299,279,986,420,255,749,548,857,189,392,459,877,827,966,125,826,761,163,
220,206,074,492,912,095,803,628,757,879,453,680,034,063,101,850,181,222,057,
965,430,163,871,295,350,498,064,617,169,354,573,718,279,624,358,582,309,679,
052,347,876,331,359,077,119,008,682,309,945,332,376,696,418,186,570,908,890,
926,435,480,688,246,649,251,734,993,783,321,152,387,505,048,034,969,377,404,
103,128,784,251,497,673,286,453,139,924,881,826,138,430,152,249,343,672,965,
799,720,613,756,699,121,339,524,742,624,237,437,604,538,963,995,671,174,709,
841,282,047,899,357,093,045,869,361,916,401,864,545,323,441,116,664,175,742,
280,114,720,353,091,788,071,417,334,516,630,303,131,847,439,308,516,488,948,
396,118,925,856,483,742,309,495,735,301,358,173,138,464,675,326,576,479,460,
368,605,005,852,886,377,301,719,332,041,447,640,736,730,007,855,566,406,937,
297,632,321,004,135,891,376,408,572,122,507,126,505,998,720,174,455,699,674,
079,842,953,871,447,611,722,312,069,921,304,704,719,462,890,718,778,456,259,
758,996,816,567,371,025,034,786,927,316,871,031,929,765,314,878,707,639,940,
549,994,251,847,300,458,060,770,862,492,184,355,564,595,442,318,537,189,559,
028,923,766,289,651,336,826,903,453,774,411,076,860,587,544,731,898,915,937,
811,968,868,323,867,342,640,982,950,788,149,770,321,979,522,388,888,570,946,
472,519,759,130,497,984,682,303,829,353,575,817,560,784,108,586,923,564,563,
963,903,727,283,108,949,014,604,978,738,627,228,326,960,446,064,604,690,177,
128,607,406,732,725,558,195,457,506,178,525,822,432,448,863,258,648,700,151,
758,331,660,874,215,585,917,391,705,992,771,864,498,047,489,514,807,966,084,
870,301,733,824,714,841,605,102,572,688,729,679,580,362,621,241,230,329,497,
069,489,008,894,175,109,603,860,524,933,168,604,607,309,894,356,777,427,218,
070,537,588,811,629,406,068,856,998,205,800,727,330,135,891,437,431,258,744,
944,976,798,410,212,078,477,636,537,321,260,241,551,941,765,124,975,041,001,
426,953,240,204,956,332,821,263,961,518,366,158,452,323,742,803,186,399,180,
257,704,579,029,892,089,583,403,281,897,742,808,280,348,833,945,107,785,873,
230,837,118,099,875,238,676,358,879,492,669,635,916,903,990,500,646,441,293,
573,901,814,536,071,129,319,682,865,869,384,407,663,061,581,997,263,134,070,
129,564,830,441,544,863,969,521,284,690,040,242,570,722,057,742,217,653,348,
783,844,902,405,919,398,491,791,606,006,026,046,109,949,988,620,683,016,162,
509,939,868,396,005,820,909,887,769,369,320,857,600,535,055,651,043,254,741,
143,791,382,819,362,101,489,475,955,201,896,240,505,919,897,557,609,623,390,
722,377,010,971,275,830,501,347,196,025,551,565,729,206,054,080,998,096,751,
779,446,815,731,523,308,301,778,149,005,201,582,981,867,253,544,171,839,895,
128,389,635,425,796,508,792,569,467,643,443,146,390,391,249,385,426,435,183,
192,537,438,394,341,766,184,959,326,049,263,493,536,128,166,788,330,913,481,
475,279,887,268,929,153,857,308,024,908,047,206,735,374,864,291,331,130,855,
718,804,677,004,032,504,825,959,250,305,532,118,909,259,988,386,145,200,401,
162,128,300,934,227,313,179,838,523,080,926,974,401,945,899,293,905,952,368,
671,658,936,349,933,508,066,170,103,327,520,043,858,975,618,473,659,577,040,
277,125,288,704,866,185,426,356,622,643,407,095,462,272,321,141,234,357,593,
866,162,933,893,041,993,185,965,429,925,795,012,306,017,308,100,343,428,338,
050,006,324,137,087,408,337,079,946,254,856,864,428,377,006,740,123,104,987,
009,714,959,405,077,587,514,826,424,610,397,535,638,868,412,620,718,937,221,
239,579,716,277,615,459,406,684,210,868,013,643,418,596,394,829,164,075,722,
308,492,540,903,812,087,430,573,496,239,780,674,569,099,569,793,784,575,940,
413,783,656,163,569,340,657,636,253,877,594,766,894,838,769,580,570,147,404,
962,640,392,634,622,780,037,928,926,028,142,408,519,942,436,757,850,384,380,
284,993,713,459,243,362,359,584,880,221,534,516,008,345,005,973,563,320,626,
036,824,436,742,674,324,036,576,016,575,576,375,793,296,270,074,384,462,992,
989,796,955,096,464,038,727,192,173,094,141,790,152,715,080,947,367,562,250,
385,464,477,448,909,658,929,167,018,754,035,991,769,406,526,050,644,492,362,
959,620,002,615,807,955,416,095,691,741,807,212,654,119,332,098,464,078,799,
207,475,962,598,655,198,428,369,064,641,555,199,789,768,443,697,288,299,009,
019,454,820,682,079,293,862,157,046,415,071,056,942,770,516,043,662,360,744,
384,823,597,375,518,417,013,826,117,672,603,426,549,609,938,502,432,108,776,
974,589,923,868,965,515,471,605,317,613,667,302,007,442,426,755,184,323,878,
457,585,520,100,277,915,395,652,706,549,679,070,838,297,018,632,647,306,518,
242,095,480,318,362,561,382,948,486,867,753,434,152,415,793,588,501,941,980,
754,379,439,508,385,228,131,757,367,286,293,360,236,842,002,804,684,096,680,
080,880,832,008,098,530,779,067,222,837,340,194,152,466,833,518,383,088,759,
188,466,934,130,695,047,399,377,771,883,008,135,249,267,032,280,095,191,067,
846,007,687,924,316,733,133,860,694,002,827,488,232,035,748,415,410,602,583,
142,768,853,219,825,875,951,932,166,308,490,375,433,163,677,899,341,932,163,
177,466,321,606,676,086,433,683,466,051,701,290,862,890,550,230,612,225,222,
722,250,127,236,416,969,807,594,473,105,932,748,461,984,922,207,778,662,937,
816,420,013,590,547,466,333,659,976,719,293,357,012,481,002,248,084,464,972,
709,691,314,760,865,731,060,175,510,491,689,845,287,804,723,847,022,729,022,
580,698,399,007,315,731,609,402,504,583,191,303,466,793,385,435,467,262,486,
987,581,998,583,467,008,962,780,307,534,464,254,567,009,802,980,196,978,476,
513,654,684,153,379,986,921,222,461,663,433,600,166,580,468,864,164,204,363,
667,054,919,775,151,602,553,829,463,373,586,775,522,492,072,220,140,617,912,
415,285,304,535,449,396,555,469,902,510,425,471,649,482,556,715,143,259,316,
453,170,773,416,139,993,420,935,223,926,199,195,151,269,137,364,852,023,562,
125,168,873,826,562,139,637,924,982,065,244,968,767,522,773,273,073,193,506,
929,570,242,856,712,085,682,586,045,407,962,200,908,273,060,307,705,941,099,
562,588,591,061,181,140,169,335,255,745,831,203,201,334,118,380,309,824,259,
161,055,569,183,146,998,916,962,976,564,818,472,049,825,004,210,397,513,936,
615,158,396,002,511,032,672,376,649,111,347,639,461,472,965,163,992,465,974,
182,282,577,432,621,923,758,571,928,253,895,814,442,381,906,667,802,438,432,
029,483,531,279,999,848,414,635,616,895,228,497,048,473,386,582,426,478,555,
406,737,702,054,072,815,677,885,253,123,096,791,370,608,228,173,086,623,933,
532,271,259,662,074,041,022,751,635,430,993,008,670,574,622,139,248,860,077,
699,347,469,587,032,763,757,706,333,478,788,125,982,388,786,146,535,847,284,
956,949,349,571,623,342,187,534,510,754,774,954,795,418,573,222,955,811,184,
585,511,688,514,536,485,002,985,397,672,974,987,050,888,137,872,046,680,241,
081,653,737,385,688,978,023,054,814,232,323,275,319,872,587,776,860,555,960,
518,598,553,492,653,055,521,838,529,078,966,373,727,970,248,378,255,789,948,
454,377,187,604,559,655,949,972,051,120,531,501,253,014,218,685,568,254,382,
264,718,819,670,081,515,755,875,978,744,536,869,586,127,397,303,228,139,895,
558,248,717,584,706,239,115,371,458,766,133,166,173,001,382,409,178,662,975,
384,191,415,290,338,033,227,312,267,480,064,312,242,358,631,034,121,907,992,
739,399,164,871,196,441,037,274,750,347,804,040,934,662,257,722,664,832,302,
480,600,134,491,177,046,865,563,941,722,695,376,613,007,349,991,871,756,659,
783,447,319,042,338,315,488,579,739,737,272,027,992,290,032,905,897,819,988,
171,937,102,327,473,286,409,705,476,929,772,363,596,903,097,532,458,047,853,
621,794,079,485,371,211,260,777,253,578,149,216,190,241,752,225,410,504,451,
564,600,145,278,223,725,433,041,869,533,482,190,306,910,159,834,857,955,563,
143,380,631,338,591,147,503,777,359,153,846,544,201,125,932,801,798,976,037,
703,280,425,160,137,688,597,019,946,525,055,190,011,433,351,783,346,091,653,
173,039,611,986,237,611,765,650,026,331,889,860,984,561,853,380,772,131,833,
125,634,836,908,996,626,280,961,760,029,070,415,611,220,054,735,119,082,477,
465,748,673,892,293,513,526,311,206,567,285,119,735,658,691,643,076,646,367,
579,580,704,242,068,622,052,335,895,069,846,276,666,024,282,179,480,298,701,
304,507,214,845,470,747,460,442,284,569,730,281,516,837,481,310,452,140,786,
163,740,180,976,405,358,375,458,404,508,858,204,155,854,690,404,304,840,547,
270,011,214,335,249,057,522,862,252,156,354,113,860,171,245,653,828,977,176,
309,068,310,135,557,543,279,538,173,989,298,157,613,496,585,673,152,229,498,
310,403,354,146,551,133,037,157,867,763,011,366,895,068,739,505,502,980,410,
701,341,404,014,266,606,055,239,412,764,515,014,422,730,720,411,823,358,057,
903,122,583,451,414,271,432,543,798,716,828,141,148,546,875,573,278,132,243,
108,022,158,643,681,476,396,224,726,894,393,913,110,637,946,896,560,468,155,
589,767,911,063,927,006,897,662,731,764,952,558,129,121,606,655,572,562,460,
448,873,091,415,561,170,060,944,746,021,461,843,712,931,412,511,647,841,758,
859,176,327,718,456,891,646,824,494,037,264,284,260,203,206,158,284,373,151,
244,282,980,910,707,829,492,112,647,536,236,321,379,308,163,813,483,097,595,
218,363,945,214,086,190,984,656,737,816,805,478,251,554,817,110,323,145,816,
730,191,008,462,002,604,888,924,828,355,209,150,742,734,883,826,611,186,931,
566,290,645,862,126,173,033,061,154,015,398,862,080,319,363,075,610,214,798,
914,591,082,405,666,848,617,828,376,666,703,753,118,530,451,887,208,282,052,
041,288,121,690,490,825,051,334,586,330,686,482,928,453,503,642,329,514,295,
430,593,722,988,953,173,744,579,302,426,764,028,498,224,288,478,331,771,443,
837,838,782,843,922,380,702,353,313,948,304,772,921,499,090,150,765,559,198,
282,304,862,060,166,476,103,963,245,373,508,637,825,451,008,251,987,984,003,
671,557,315,845,806,406,020,414,597,854,231,766,160,367,658,210,934,641,475,
949,148,508,397,907,624,121,317,675,110,624,328,835,616,398,717,051,974,501,
733,974,751,270,151,981,488,482,545,025,615,062,717,065,372,645,159,725,614,
477,114,165,160,391,678,081,141,606,096,813,976,301,879,261,363,328,685,666,
511,465,010,820,978,800,063,339,739,983,152,534,478,437,026,266,142,589,307,
097,112,038,552,744,445,950,440,342,695,474,045,500,080,880,227,527,673,706,
675,558,603,099,072,352,211,034,448,524,663,419,560,784,114,519,452,665,310,
703,492,912,620,884,553,707,949,879,697,820,899,583,221,768,147,442,693,022,
377,182,451,456,496,300,328,723,484,562,156,983,913,351,793,843,499,859,613,
572,869,701,085,517,736,412,623,369,119,918,212,100,057,491,863,220,444,412,
812,097,765,608,475,617,624,855,241,622,548,399,083,960,887,099,097,763,817,
198,361,072,471,466,390,514,226,037,249,029,292,226,916,628,988,413,591,691,
305,006,014,440,201,757,382,998,469,064,761,774,976,726,166,315,570,073,825,
917,141,125,705,021,520,446,463,850,977,548,512,035,173,168,325,044,218,392,
713,240,941,347,715,537,260,887,494,993,899,561,362,984,838,220,820,302,208,
983,205,011,698,450,598,293,601,278,394,497,762,852,235,767,673,431,297,235,
735,696,421,964,166,531,985,699,513,097,945,303,861,335,555,599,235,281,498,
339,875,148,098,913,433,000,272,562,482,294,529,394,128,837,846,516,934,903,
724,937,383,608,742,115,332,594,307,487,835,182,164,919,008,036,117,083,236,
340,426,199,558,187,018,387,672,629,470,796,564,981,239,889,226,004,464,668,
059,486,218,334,791,590,819,081,060,040,289,604,118,840,801,309,018,058,019,
025,873,898,074,009,591,536,975,583,722,226,393,429,992,527,053,667,394,223,
145,294,418,208,731,272,080,875,674,498,629,155,485,963,635,688,322,667,148,
565,197,468,588,888,093,739,117,723,071,610,317,287,654,250,880,281,729,505,
917,887,283,442,358,288,481,591,970,002,079,407,798,390,248,394,761,095,320,
888,925,265,074,408,534,050,805,173,077,737,977,646,157,059,878,513,807,306,
223,214,137,378,535,466,258,812,044,885,503,082,365,408,893,518,357,642,218,
643,205,466,958,859,985,227,788,843,311,802,402,076,105,926,981,165,761,822,
436,601,126,231,639,530,229,757,548,981,719,907,862,471,008,794,176,513,349,
983,528,663,432,580,072,721,087,042,843,608,285,250,149,063,049,900,938,611,
701,131,805,290,010,991,032,512,685,213,697,962,749,141,840,563,480,396,169,
935,941,765,604,206,127,449,537,093,299,377,164,286,015,781,544,360,965,963,
544,847,147,690,455,494,866,231,472,810,935,709,011,508,494,579,313,565,868,
754,915,426,838,358,468,383,829,683,945,694,277,227,342,859,524,076,014,038,
407,867,003,645,782,973,503,377,211,679,930,365,145,998,543,952,991,420,958,
327,363,985,754,815,835,634,275,137,278,946,282,172,385,244,123,334,544,569,
864,771,965,744,356,001,011,234,377,070,692,363,876,610,953,903,152,667,148,
001,971,985,186,291,163,406,145,759,975,934,148,817,946,786,779,207,112,692,
199,530,129,484,184,847,445,297,588,271,740,726,908,695,082,596,780,698,858,
654,194,645,540,295,257,649,250,201,463,771,888,200,483,717,435,095,932,047,
116,119,268,613,314,796,269,474,148,605,308,762,365,866,644,432,345,654,621,
938,574,820,157,867,392,277,704,983,580,647,282,259,805,337,395,485,845,500,
430,352,739,111,445,082,508,933,902,346,869,054,867,511,062,759,361,547,819,
031,386,765,591,749,827,707,494,350,721,925,167,274,744,641,974,990,402,764,
317,976,294,176,323,212,233,749,414,131,048,273,169,328,659,561,114,223,550,
177,290,135,127,134,341,857,096,951,159,871,031,970,546,413,002,564,228,457,
775,370,624,639,848,157,156,128,826,738,461,663,324,696,067,056,649,560,303,
524,222,930,536,785,882,553,454,819,976,640,431,467,314,048,788,293,466,453,
444,779,790,763,884,638,766,121,490,077,334,358,491,139,510,084,642,840,661,
595,283,872,062,958,443,903,612,618,279,298,267,463,593,170,059,886,559,505,
944,758,145,366,228,198,465,559,808,403,884,986,296,894,882,076,733,032,029,
507,003,222,334,737,334,452,050,049,959,226,984,959,103,772,573,164,408,677,
748,154,817,130,210,095,743,201,932,846,413,338,334,477,180,273,950,964,375,
754,679,582,261,861,469,372,059,835,041,002,818,673,718,614,338,683,611,200,
436,137,595,866,754,683,202,294,386,236,375,984,512,718,887,762,633,040,210,
856,104,689,486,946,280,447,317,846,834,348,324,113,993,733,701,361,111,366,
297,198,272,672,408,380,717,091,914,524,371,715,243,799,118,308,035,709,757,
128,577,846,508,252,788,772,324,209,158,532,861,610,625,159,108,795,411,683,
906,168,985,516,476,886,699,280,552,337,456,166,215,408,052,107,482,246,473,
867,453,736,154,801,596,074,489,598,352,305,271,995,042,019,164,305,228,470,
444,137,323,540,802,915,792,788,715,713,815,399,623,871,777,963,121,111,354,
682,250,401,256,027,442,803,948,565,340,798,987,579,668,965,558,939,404,997,
899,169,825,512,476,980,353,924,099,283,667,397,005,474,312,792,067,814,523,
525,459,098,724,561,058,836,591,107,913,315,405,192,752,105,626,499,291,687,
555,381,537,128,770,462,419,652,480,629,459,056,599,234,244,191,212,362,703,
521,205,563,448,748,885,156,391,436,288,502,703,195,144,019,619,852,308,512,
589,727,459,628,062,548,075,210,938,581,939,239,714,840,663,161,068,522,929,
087,252,374,259,393,213,336,199,452,140,384,422,830,731,912,833,007,727,702,
874,404,742,930,554,511,289,468,826,526,833,430,109,487,772,689,781,641,118,
056,903,595,922,812,614,019,133,305,398,141,972,673,210,579,280,939,851,180,
149,528,997,070,157,701,545,197,870,645,002,932,785,456,240,827,482,032,369,
068,667,003,301,149,002,897,191,229,649,101,830,855,276,108,688,528,359,709,
513,837,161,497,058,377,601,207,001,456,975,426,743,081,810,214,516,399,419,
451,221,556,120,591,785,854,362,385,233,073,277,178,628,713,252,144,923,480,
160,915,674,372,711,518,437,178,539,230,939,801,271,183,181,162,281,812,853,
678,346,498,052,015,855,587,245,592,740,740,676,439,945,795,540,615,116,054,
984,169,344,410,603,307,835,794,825,703,354,157,267,490,675,158,275,100,269,
314,133,411,136,284,954,936,826,197,741,460,685,815,830,754,897,661,527,493,
702,419,503,040,351,675,140,878,936,621,039,097,485,916,716,264,625,719,125,
826,074,910,621,794,164,802,431,354,263,367,895,704,136,544,646,940,220,336,
678,480,067,555,960,338,063,497,512,138,963,672,612,447,244,872,696,801,601,
452,401,050,095,696,931,177,072,457,870,859,891,424,759,329,466,296,098,700,
336,584,329,219,193,404,101,952,471,500,029,214,394,935,209,295,728,814,086,
535,750,645,711,496,230,658,800,470,353,445,724,819,289,415,067,188,599,405,
237,570,723,936,134,618,218,834,604,438,700,832,044,381,414,351,833,862,395,
128,122,850,869,194,478,140,009,823,449,534,844,250,353,729,388,855,924,333,
849,451,131,993,174,077,638,729,803,240,356,750,403,572,349,161,472,068,659,
961,222,914,635,729,499,447,739,566,798,453,635,295,567,748,344,344,066,258,
062,447,809,784,943,121,227,209,184,314,205,744,917,073,952,372,223,312,111,
906,029,688,152,424,274,609,936,633,693,750,079,846,513,178,794,366,980,831,
259,493,053,860,247,940,883,940,520,983,091,239,391,059,625,111,994,693,594,
928,152,285,084,615,486,738,658,202,548,988,753,219,160,189,767,751,427,003,
038,821,844,600,765,387,916,204,646,858,636,668,512,742,837,364,039,898,810,
948,956,010,128,060,075,487,975,009,232,065,137,754,989,111,204,287,958,466,
506,981,436,088,648,463,359,669,737,799,547,242,195,864,734,878,311,052,255,
820,819,067,168,250,412,639,669,252,938,551,778,126,508,595,367,827,705,413,
105,642,801,575,486,939,299,270,715,952,732,001,637,089,565,896,376,659,778,
121,454,300,799,835,224,735,764,314,081,372,160,907,439,250,173,461,810,489,
473,117,555,962,283,190,887,655,313,880,704,861,714,667,205,537,927,156,764,
000,874,966,561,012,178,232,020,415,156,336,337,807,646,120,695,370,476,810,
906,420,116,333,506,734,174,324,339,919,425,302,905,119,159,334,125,293,522,
155,150,913,047,742,609,498,091,944,287,307,255,965,152,919,081,523,982,084,
415,069,524,956,127,499,289,716,519,999,706,367,514,142,925,695,392,815,974,
243,401,059,101,443,047,035,509,743,938,170,448,105,547,571,780,922,203,621,
933,457,342,102,839,831,589,150,781,039,836,613,741,427,592,895,140,892,848,
542,812,039,190,747,464,416,027,692,675,317,609,497,549,773,820,981,532,197,
398,344,591,052,033,702,108,872,697,118,305,072,359,464,988,971,621,514,221,
807,864,854,503,332,983,021,854,091,486,689,353,881,974,755,646,067,905,005,
996,861,071,823,475,722,998,311,130,842,206,998,288,219,910,681,720,012,706,
832,782,045,175,752,860,970,270,317,120,596,370,971,299,568,632,036,358,552,
429,760,579,350,825,866,653,503,005,514,761,535,403,219,983,027,807,656,902,
981,107,250,532,527,007,022,381,438,757,464,741,782,919,378,506,516,892,050,
356,972,254,075,433,867,962,754,243,580,062,240,445,157,618,772,038,033,957,
594,266,392,220,520,291,837,851,367,472,009,978,341,186,519,800,322,764,547,
870,999,467,619,119,523,690,920,709,963,482,195,514,932,756,192,442,446,245,
801,817,568,610,298,971,350,424,173,153,973,123,730,971,174,588,556,031,933,
490,038,747,756,726,718,605,106,651,378,706,169,514,236,358,068,348,550,437,
926,350,380,083,175,598,705,515,986,422,053,840,259,013,997,256,729,109,355,
686,497,125,651,483,592,222,947,359,928,992,091,950,910,224,872,481,421,940,
418,493,501,851,756,870,224,765,528,178,321,362,957,804,528,474,073,966,059,
270,270,938,965,678,487,251,922,221,503,408,186,436,532,320,451,850,985,518,
698,023,199,035,703,030,402,394,728,336,404,732,082,444,522,209,007,060,237,
519,879,072,462,065,414,329,887,985,433,156,168,194,485,220,113,202,904,266,
522,491,431,405,632,162,767,543,397,731,518,884,682,582,470,952,639,664,406,
100,371,246,683,350,479,826,368,684,390,024,616,937,537,077,922,673,081,913,
887,254,771,021,448,941,535,726,501,720,078,457,409,364,245,425,485,718,061,
758,759,504,831,442,527,771,171,885,434,784,746,177,774,615,719,634,424,402,
269,237,644,824,449,217,206,416,174,921,453,455,277,919,475,980,197,012,171,
189,534,491,437,332,360,154,051,240,638,707,431,364,217,673,951,138,374,130,
458,610,650,139,223,906,216,618,926,205,832,331,748,054,134,959,803,220,628,
132,252,297,463,626,311,574,228,259,016,589,456,902,120,908,521,073,579,150,
961,715,298,170,498,160,842,358,017,582,215,294,790,506,644,398,772,800,309,
192,956,385,696,311,166,461,176,877,543,673,675,385,822,340,393,428,858,100,
231,512,897,658,304,685,629,378,624,529,805,200,532,823,189,082,696,234,657,
625,273,631,624,773,677,106,566,321,483,446,137,004,445,954,540,790,826,402,
906,085,204,694,579,026,538,902,171,689,596,450,511,287,920,742,895,412,488,
899,128,254,043,354,618,836,731,873,086,019,505,081,344,051,834,729,651,563,
505,125,090,157,928,710,174,141,770,694,117,863,411,322,987,043,401,336,960,
991,287,279,909,789,516,783,571,899,357,665,753,939,045,062,884,521,514,776,
949,571,879,024,349,948,764,925,567,616,960,163,050,241,672,838,277,898,597,
145,854,768,803,459,557,881,494,836,294,506,071,650,846,781,230,907,725,060,
626,141,972,026,909,275,229,775,522,026,172,494,680,585,765,137,949,456,972,
998,194,303,238,180,231,204,127,000,759,223,263,278,472,283,898,326,703,760,
323,708,013,591,145,578,914,883,997,170,034,814,379,152,415,224,107,078,191,
965,637,968,330,438,454,865,186,006,121,867,204,156,593,759,618,702,324,350,
714,489,208,109,089,468,519,094,163,982,511,978,264,781,000,572,942,527,776,
543,108,578,991,891,700,576,340,497,993,869,970,136,353,844,675,693,549,548,
191,576,137,020,807,590,824,303,796,279,203,798,060,289,054,448,254,029,629,
142,758,822,422,312,878,982,589,070,559,052,370,602,151,631,375,806,860,159,
388,701,321,731,362,336,832,645,615,658,619,392,170,955,093,567,365,013,634,
622,168,895,188,828,357,021,014,615,730,915,806,538,375,711,088,679,846,730,
464,274,369,122,201,398,065,879,301,046,206,501,286,922,246,230,372,382,325,
863,894,319,577,750,382,150,144,396,633,732,587,849,325,705,294,995,252,379,
515,006,319,702,420,943,594,896,339,718,823,463,117,506,046,980,164,168,385,
828,928,199,012,769,487,877,369,174,242,015,295,432,778,700,379,346,199,799,
650,220,076,574,253,826,632,159,488,389,186,430,815,458,062,544,710,791,526,
912,457,100,050,505,766,029,342,377,116,441,376,585,296,476,678,198,001,031,
620,141,234,749,926,325,633,785,773,589,781,420,586,893,873,649,501,479,086,
646,325,935,509,862,639,060,229,324,571,241,094,252,694,733,640,525,515,112,
204,523,203,625,399,630,809,324,985,505,447,083,310,506,826,960,022,407,350,
310,191,738,324,543,200,152,900,804,694,391,378,882,714,651,258,696,348,366,
355,167,547,462,685,177,456,386,740,559,802,706,196,656,786,251,186,753,371,
662,621,204,237,885,718,719,990,118,405,471,840,268,842,681,830,206,871,938,
356,895,257,378,775,007,693,214,578,154,387,700,624,617,839,840,153,344,931,
581,435,494,903,426,696,381,597,766,767,625,071,909,075,201,906,057,724,590,
686,602,840,055,934,074,593,160,639,672,512,366,931,232,492,071,726,655,421,
904,184,618,976,187,809,572,907,577,176,695,486,761,730,141,566,869,266,602,
711,079,544,843,344,633,222,735,872,922,050,562,316,681,524,995,572,622,056,
339,624,683,281,828,641,205,329,136,193,598,451,309,323,129,024,174,657,815,
225,793,930,651,124,725,216,335,321,130,109,846,885,060,536,545,092,608,219,
065,770,783,292,583,358,576,109,672,318,178,947,995,816,076,235,307,903,791,
562,579,974,403,788,025,591,401,893,575,628,463,314,519,426,392,716,732,355,
972,734,645,652,138,887,840,531,916,746,137,754,693,883,811,229,635,735,254,
945,917,534,682,548,701,683,383,657,981,048,061,586,802,743,114,700,146,612,
308,324,959,943,603,897,822,247,342,573,924,261,842,806,579,778,254,384,683,
537,240,328,188,597,799,865,278,551,510,854,324,496,705,584,667,946,822,458,
386,843,321,257,901,344,301,882,384,946,452,354,743,626,764,152,398,671,655,
388,576,678,341,764,454,245,894,733,620,601,915,698,970,131,967,193,008,325,
194,010,081,081,812,706,403,909,161,592,543,883,063,356,530,001,238,848,484,
309,674,321,869,272,182,756,109,710,895,372,697,465,800,020,801,255,552,550,
740,243,067,881,398,113,417,526,446,002,503,797,792,517,426,368,594,921,518,
503,266,729,970,367,484,994,906,489,097,121,237,771,835,233,163,869,725,118,
625,943,881,139,196,015,290,454,714,605,533,257,265,234,958,206,195,286,850,
692,050,709,793,016,127,290,393,538,913,330,253,615,610,832,960,714,938,004,
372,108,129,223,530,177,385,738,020,882,673,166,123,753,107,596,180,658,607,
563,733,379,521,229,511,101,556,816,425,565,740,841,711,599,284,333,892,802,
012,615,117,070,082,619,716,669,214,152,631,583,087,649,496,753,085,251,097,
800,711,707,559,124,303,247,885,841,623,748,864,801,280,655,689,060,527,575,
156,072,601,509,804,321,406,147,147,124,811,987,155,742,043,063,737,287,333,
109,746,873,107,718,626,673,176,530,072,552,220,719,388,056,827,186,587,516,
456,373,583,613,651,467,230,924,808,982,335,410,209,141,595,634,231,289,200,
530,405,387,708,337,157,144,582,715,001,562,860,239,258,058,427,216,407,918,
283,944,180,066,480,379,237,064,488,784,842,213,691,826,552,802,006,162,903,
886,108,463,793,903,504,924,556,334,268,676,394,204,662,429,856,381,538,328,
568,047,888,219,933,579,771,341,559,168,106,333,723,407,909,912,797,119,948,
453,009,142,429,735,288,873,771,620,263,116,697,819,497,165,189,693,959,225,
510,870,646,081,840,037,573,962,809,191,940,808,516,215,311,254,959,353,078,
221,501,205,906,192,814,578,881,080,126,979,488,195,588,758,311,932,159,117,
392,320,428,541,806,773,611,111,711,203,946,959,787,849,446,472,099,794,790,
700,725,227,517,649,718,765,596,335,609,258,680,253,641,939,417,118,483,800,
507,918,523,472,544,692,140,724,089,209,458,911,227,016,821,948,804,974,924,
465,800,265,690,711,033,154,677,497,478,377,307,982,319,661,409,041,486,805,
075,538,753,417,383,170,156,508,748,359,071,407,468,417,066,475,870,205,486,
072,034,870,465,753,725,494,819,329,631,056,548,349,060,781,001,076,224,511,
555,159,900,659,882,945,398,277,024,858,036,160,046,619,840,815,954,271,188,
032,044,603,044,477,193,249,831,446,366,483,960,940,386,996,860,038,089,679,
381,739,794,852,017,408,461,153,963,260,063,778,840,645,772,471,094,273,201,
135,923,367,247,231,468,318,981,529,956,087,781,384,106,228,546,817,153,879,
444,513,444,465,106,612,588,565,370,315,843,515,664,645,235,307,270,748,188,
824,651,914,691,121,299,831,579,148,917,760,234,343,532,734,192,076,733,628,
786,616,355,839,844,920,997,064,959,067,360,319,606,337,865,092,374,404,847,
671,334,583,933,049,282,092,300,622,833,028,841,800,839,305,498,053,571,266,
905,581,110,313,416,366,548,863,386,086,191,806,750,135,981,306,486,342,446,
836,374,316,975,610,179,750,625,283,107,923,579,385,799,494,611,816,444,587,
142,033,927,257,926,012,470,496,674,475,882,712,053,114,075,190,430,026,682,
242,896,499,614,489,156,052,719,486,523,412,824,464,631,636,457,861,736,937,
111,015,816,508,377,098,260,962,580,043,082,507,211,320,225,617,272,791,894,
212,294,140,934,028,413,420,564,032,635,765,088,061,759,595,099,459,207,422,
551,639,387,856,442,686,688,611,597,098,522,391,587,987,767,229,834,482,255,
542,436,761,819,881,029,703,453,003,936,081,365,626,182,599,514,223,081,905,
531,255,744,396,217,092,979,960,391,006,516,201,787,678,200,111,154,786,022,
303,111,542,048,120,288,285,010,919,905,745,730,653,470,603,662,565,624,114,
607,107,248,669,217,067,033,780,463,623,416,877,694,664,764,828,278,370,284,
741,212,355,309,078,021,598,227,846,811,108,217,824,870,372,737,409,768,798,
793,337,012,561,909,726,461,168,003,334,652,115,039,241,973,072,601,384,827,
130,652,825,913,045,119,794,868,093,762,018,120,867,234,343,549,534,484,119,
180,688,597,330,404,106,659,674,197,775,402,818,523,026,662,942,277,493,745,
301,046,611,939,740,096,805,636,974,859,780,748,873,643,761,357,755,705,121,
322,812,868,068,162,724,992,265,499,845,427,806,169,382,588,748,435,148,276,
750,923,105,599,878,381,303,363,579,355,284,117,652,456,501,134,542,096,147,
085,017,832,735,891,782,826,377,215,929,029,281,183,644,829,456,053,243,213,
378,855,335,433,145,827,636,034,871,246,253,822,085,038,313,823,765,984,682,
276,756,632,888,495,667,425,905,070,043,756,185,602,634,770,493,114,680,340,
263,149,696,025,463,266,935,800,244,899,212,001,460,768,245,740,212,159,527,
698,346,149,628,082,825,001,117,014,748,087,558,510,935,821,151,916,278,908,
881,378,730,818,567,988,093,707,763,043,222,920,368,682,304,679,910,160,189,
717,440,415,651,817,861,098,575,893,036,955,773,247,543,209,491,616,535,114,
487,128,397,291,940,405,899,546,823,187,141,757,732,702,599,115,649,347,540,
982,415,239,136,326,102,958,178,114,836,728,642,788,146,908,436,479,670,237,
439,254,581,258,656,672,932,086,251,743,327,206,224,531,172,906,685,000,608,
051,436,336,225,529,926,064,689,794,654,907,162,968,960,938,444,064,631,108,
777,865,904,813,855,560,881,084,219,274,845,406,029,715,571,419,214,839,526,
500,798,106,624,005,835,919,028,877,999,111,677,057,168,020,524,360,268,740,
956,923,207,596,270,245,111,607,135,881,325,240,465,772,273,027,377,142,956,
595,971,915,518,291,101,147,609,268,672,846,501,687,379,118,823,354,935,921,
840,854,418,231,982,104,699,388,194,511,300,602,933,433,932,029,895,687,569,
506,108,118,503,879,056,375,404,459,838,198,909,099,158,136,140,972,133,646,
268,615,293,061,396,005,721,193,576,877,912,916,209,604,109,745,447,738,419,
916,772,976,607,153,010,327,955,086,479,590,986,376,621,298,800,706,690,416,
269,956,112,374,565,016,255,291,967,197,859,234,130,360,824,330,096,256,080,
722,543,018,981,774,097,701,280,580,690,218,287,254,245,602,446,307,189,563,
058,761,046,283,636,982,874,129,416,936,305,513,774,199,774,647,454,413,872,
690,366,124,297,663,082,848,782,710,344,634,218,364,395,448,498,616,812,772,
348,088,534,794,201,063,744,870,003,838,535,166,333,232,249,452,924,516,813,
837,238,588,108,301,076,130,299,374,120,441,089,594,950,692,194,561,541,282,
869,947,810,272,062,306,865,842,417,371,177,764,360,759,720,332,645,523,653,
499,946,248,890,250,536,563,836,605,933,966,970,918,404,700,257,353,847,047,
875,541,604,550,749,500,212,908,495,706,384,188,671,425,082,266,851,066,348,
886,193,571,786,117,271,980,361,504,507,236,919,844,932,047,696,740,049,008,
744,236,689,178,891,239,024,403,612,290,875,121,859,855,754,080,565,728,072,
848,991,657,385,249,272,058,226,729,524,581,917,226,632,735,800,305,021,776,
287,586,012,691,209,388,925,656,179,664,192,867,102,545,026,244,365,869,406,
457,790,399,147,372,734,286,396,298,361,655,648,498,182,492,583,727,423,457,
292,717,569,659,229,359,189,508,436,930,407,965,599,415,380,864,319,726,356,
390,690,167,928,417,859,832,505,200,243,354,478,340,420,562,293,424,295,497,
281,174,167,639,008,182,436,132,964,108,006,874,890,621,969,310,083,014,557,
789,206,155,440,955,318,814,889,674,287,274,829,009,327,878,419,219,729,240,
034,662,154,056,813,789,738,985,121,710,717,129,808,704,753,940,950,880,738,
137,870,563,271,309,530,342,624,835,610,352,862,269,939,670,707,876,250,301,
440,465,102,346,020,452,006,101,199,549,453,499,980,443,304,641,603,837,743,
205,917,264,245,807,622,706,715,709,516,495,808,774,558,506,327,812,764,134,
073,371,423,573,484,934,157,581,698,491,937,132,797,081,112,932,232,630,142,
474,642,659,581,394,308,742,605,451,209,058,995,326,616,326,767,209,518,029,
156,299,520,605,447,441,942,577,146,425,986,515,689,757,659,697,734,110,298,
792,853,298,191,226,652,210,758,156,521,306,015,461,388,687,347,183,585,572,
757,794,517,469,027,157,418,115,782,189,735,822,421,254,360,603,330,801,781,
272,122,695,616,529,325,407,336,132,974,562,837,708,164,245,065,149,510,620,
282,024,927,792,408,885,449,479,118,443,873,241,914,874,331,073,175,431,458,
776,902,404,467,017,795,769,645,086,643,573,563,729,513,913,997,203,176,699,
361,183,173,724,236,730,611,118,399,307,764,878,794,568,715,562,563,159,566,
577,801,383,887,383,125,561,927,099,284,742,433,185,667,998,672,744,540,015,
262,095,386,073,256,456,994,235,216,815,240,688,904,163,774,137,745,913,761,
991,773,142,265,253,042,416,087,181,319,880,521,137,316,362,083,295,966,604,
272,293,225,625,744,512,910,635,781,561,126,368,745,830,621,421,528,383,424,
199,040,014,645,108,928,455,724,405,297,843,359,882,052,728,376,864,298,867,
483,235,466,222,657,020,868,959,130,292,815,761,274,725,694,273,616,424,803,
390,307,635,140,793,374,396,856,525,747,896,032,817,446,631,628,805,456,936,
819,550,231,460,582,503,291,326,194,799,356,236,307,260,057,852,694,947,963,
692,801,392,265,759,368,718,134,454,916,784,552,148,129,379,170,123,895,764,
271,493,447,823,029,568,239,829,830,983,844,041,684,221,323,704,643,269,121,
184,603,256,448,556,516,614,518,204,749,296,272,893,034,894,315,514,073,090,
451,442,714,982,642,082,206,654,707,393,122,199,192,958,000,670,902,283,621,
266,878,728,233,300,707,483,747,516,163,925,765,357,272,474,922,198,838,477,
135,486,076,966,136,797,684,423,219,834,957,181,562,370,226,624,092,982,398,
865,424,407,980,285,502,618,816,920,922,018,950,540,046,338,158,616,468,355,
988,214,732,364,632,755,246,602,078,302,572,168,305,622,884,166,718,655,001,
442,546,872,241,010,015,236,363,998,281,981,249,848,045,868,235,412,751,532,
958,383,856,152,618,530,257,407,791,801,855,551,698,637,121,445,006,311,814,
866,363,276,293,987,838,127,805,589,029,124,157,695,756,221,985,986,337,553,
801,098,399,775,473,532,732,440,799,079,053,234,021,783,107,285,767,593,456,
467,862,960,948,850,587,598,765,132,310,045,086,417,102,442,585,998,845,390,
274,307,775,772,522,034,241,396,112,908,034,371,771,530,445,066,924,788,248,
128,142,897,023,829,622,160,412,483,444,873,692,047,710,051,669,265,614,203,
231,631,012,372,222,781,876,223,062,387,153,474,651,132,565,428,983,553,805,
692,485,811,812,883,961,494,841,649,460,322,906,741,943,281,737,103,527,503,
861,657,874,746,485,534,818,269,588,925,924,126,836,649,326,394,150,392,425,
212,384,918,520,483,861,342,683,353,808,423,628,887,978,694,432,111,481,430,
995,493,215,938,082,369,885,662,992,027,724,426,514,833,626,530,880,260,627,
340,028,154,869,188,214,841,916,065,768,266,579,507,310,365,035,627,143,223,
183,038,123,349,499,535,703,579,555,352,547,651,611,133,152,484,903,205,406,
951,158,899,575,624,428,482,492,558,581,943,973,459,002,569,458,114,031,422,
784,202,115,496,502,121,551,520,621,966,684,060,587,123,035,576,087,809,030,
985,309,192,299,602,393,573,948,151,037,331,888,437,301,926,852,521,260,868,
546,320,738,583,752,016,907,925,715,901,053,385,810,357,195,750,847,745,282,
682,628,215,461,589,206,980,588,860,565,676,993,442,981,271,583,483,666,272,
937,961,018,150,756,604,941,082,254,462,995,956,733,322,594,953,125,075,701,
290,597,190,643,235,400,653,578,725,989,175,687,300,655,082,735,593,700,790,
284,232,245,418,620,381,985,080,416,467,631,096,232,442,603,702,456,112,170,
016,297,701,539,382,729,125,407,910,598,417,271,057,469,150,596,293,071,356,
767,342,167,277,505,844,502,659,525,650,011,778,779,790,127,087,154,958,588,
839,156,093,028,798,211,740,680,711,711,432,127,319,919,679,447,324,727,622,
071,070,323,679,430,073,452,796,896,519,784,654,512,238,569,394,091,773,165,
442,933,818,192,160,708,715,669,286,057,024,338,644,864,527,354,774,829,154,
989,940,310,943,053,601,916,623,828,189,551,634,858,534,774,933,282,315,618,
118,893,551,320,637,707,267,077,556,960,462,845,225,473,333,525,334,120,487,
541,041,440,116,281,207,249,644,757,060,502,353,157,606,597,843,767,418,783,
569,532,677,692,903,902,917,358,257,909,179,165,612,327,546,802,723,524,013,
584,408,598,525,678,751,051,778,879,301,320,721,867,178,159,527,127,382,636,
089,553,086,639,972,014,825,426,478,330,310,417,745,837,860,960,635,580,992,
413,352,439,809,920,656,381,597,511,925,035,451,924,741,451,069,474,017,235,
896,674,569,824,743,953,593,274,779,079,322,801,729,430,815,936,512,622,583,
904,184,892,691,094,880,211,444,591,204,838,192,610,999,687,470,419,567,334,
550,160,669,207,461,910,782,029,986,401,697,785,239,273,938,358,475,506,684,
193,824,538,526,386,217,286,709,331,655,847,359,024,625,290,400,265,809,296,
197,068,405,524,546,520,647,552,497,874,506,193,095,479,284,211,566,265,132,
201,238,454,085,607,635,153,750,309,861,193,357,346,331,831,349,187,580,535,
359,557,259,344,671,161,650,125,166,234,775,485,709,441,342,543,359,996,742,
793,709,928,140,618,095,216,697,032,994,464,213,658,641,458,789,627,258,150,
462,861,297,045,387,676,241,610,372,161,090,634,149,094,752,115,324,464,264,
847,332,359,125,957,487,570,516,917,647,068,692,809,267,121,796,038,230,489,
724,475,206,298,793,052,164,641,241,167,105,158,164,482,532,128,522,122,479,
892,869,177,971,662,267,397,623,862,328,020,493,978,807,112,481,820,324,635,
217,373,394,718,387,134,808,763,755,714,583,054,788,441,018,849,595,810,508,
892,774,014,769,820,787,612,847,793,565,178,619,851,332,548,186,254,428,343,
765,146,665,137,976,884,931,460,646,885,606,635,169,546,221,932,523,970,933,
452,410,533,044,016,780,309,619,749,288,110,585,417,977,523,836,555,246,177,
452,408,326,463,955,966,383,043,971,313,170,623,822,863,929,419,599,171,556,
467,924,103,227,115,182,749,278,534,665,859,397,673,858,911,879,970,507,709,
675,436,274,614,195,971,258,550,905,794,516,456,904,541,816,545,095,205,599,
548,667,647,700,751,972,765,719,403,156,442,945,526,976,716,510,084,949,085,
806,601,857,636,230,982,185,037,212,335,693,343,636,053,888,513,439,839,969,
088,023,085,504,297,744,796,768,374,360,933,626,121,384,961,209,772,752,394,
275,914,454,832,266,605,604,790,640,256,234,695,399,619,797,517,676,154,644,
201,270,154,865,647,432,481,704,772,250,707,659,694,116,140,284,201,419,267,
830,743,772,463,309,597,072,980,973,268,935,125,894,745,463,066,987,816,533,
149,413,787,032,176,249,104,199,055,265,049,179,363,979,514,041,513,137,093,
347,693,580,248,115,804,533,158,952,666,059,310,895,453,271,764,000,275,076,
136,689,820,919,132,834,752,591,912,227,572,177,057,498,758,089,804,371,251,
491,690,682,387,087,335,187,012,132,377,079,686,373,609,068,705,896,378,981,
525,629,634,704,889,987,539,260,578,882,026,248,746,280,887,176,087,919,912,
536,896,105,120,676,035,258,963,418,860,707,192,391,637,785,549,826,994,535,
552,231,331,218,211,323,994,897,606,002,289,206,894,791,545,791,663,657,718,
162,865,536,681,420,670,883,554,357,276,765,190,629,034,629,006,649,820,942,
873,075,174,350,068,649,336,014,237,947,771,723,191,400,735,559,884,604,968,
900,445,783,568,658,420,381,536,064,247,448,927,597,041,520,554,735,325,007,
825,608,525,911,204,107,736,002,949,420,308,769,724,540,195,866,256,540,797,
230,036,972,345,500,932,521,886,583,649,841,200,783,278,544,224,023,879,989,
489,098,948,768,682,438,255,922,864,786,488,031,295,453,548,597,402,083,283,
240,548,789,761,125,256,009,632,643,713,755,638,636,222,968,645,918,065,690,
180,848,769,282,378,382,613,434,050,993,666,285,258,852,935,719,339,037,079,
050,826,921,612,747,686,659,647,996,013,660,544,630,250,947,075,871,288,360,
770,481,476,965,953,566,106,787,557,507,959,123,291,067,001,361,943,628,045,
467,554,014,964,431,455,456,486,019,644,739,397,953,514,396,011,425,230,070,
754,340,559,749,445,920,925,733,564,900,045,611,819,149,099,448,787,348,094,
617,310,313,760,974,528,960,469,780,268,323,367,078,986,086,141,675,717,122,
621,280,540,075,116,430,659,757,709,901,015,474,829,276,785,723,430,526,303,
738,521,299,472,151,180,526,891,062,719,825,589,275,809,801,871,368,421,069,
358,466,233,291,170,006,759,538,991,551,783,609,338,305,658,879,747,638,248,
862,311,717,709,837,466,469,766,586,935,100,652,130,824,465,808,333,182,940,
711,757,800,847,338,987,624,835,758,941,567,796,502,670,394,339,870,571,597,
892,979,349,223,554,414,690,104,012,671,155,010,437,504,442,793,671,934,798,
432,055,923,328,460,772,070,219,770,649,436,705,115,554,559,896,180,411,491,
895,535,099,048,414,221,339,351,311,632,541,995,143,923,477,343,836,694,600,
114,272,939,449,859,198,503,278,437,691,252,921,818,438,186,989,447,582,565,
314,654,406,143,215,600,462,053,091,556,287,170,206,649,085,047,263,693,823,
857,038,233,784,855,174,802,521,798,089,888,388,409,021,256,616,676,358,864,
813,752,919,163,369,090,932,655,140,607,941,325,302,092,154,553,434,488,694,
903,942,119,631,773,676,805,760,421,410,739,777,065,939,440,052,702,905,310,
119,357,431,738,390,547,983,517,527,632,592,077,447,085,360,522,244,146,669,
634,506,510,244,642,132,414,076,734,176,715,145,988,199,217,805,850,854,218,
982,412,589,556,573,206,969,973,678,379,021,087,752,373,497,251,463,550,628,
798,545,293,654,596,775,140,184,921,888,439,209,654,462,623,483,040,959,657,
795,981,971,749,627,027,722,931,449,923,201,199,019,303,733,357,874,316,191,
921,868,148,922,714,993,108,617,670,568,224,694,558,312,535,308,173,753,258,
487,291,463,103,484,649,287,108,864,672,197,062,350,133,304,544,027,638,934,
696,962,915,595,832,854,450,356,334,569,155,657,827,954,435,525,406,355,684,
974,112,258,806,638,933,631,487,440,868,137,495,114,430,511,026,046,332,317,
778,837,937,572,147,583,378,420,479,279,807,553,358,432,180,419,671,114,314,
766,706,570,699,361,764,536,363,602,780,686,690,264,576,529,988,279,800,429,
477,253,763,109,966,416,464,072,567,427,235,811,069,744,125,879,931,351,143,
422,683,735,598,468,418,806,080,063,851,608,831,912,605,431,086,822,059,519,
709,834,345,463,711,657,388,669,495,695,996,718,021,464,208,197,738,253,416,
138,479,646,080,703,316,636,145,502,251,682,353,132,088,046,378,855,706,928,
717,696,630,763,386,862,028,888,919,355,615,323,256,721,376,048,714,943,127,
361,746,880,373,514,129,925,987,399,660,533,249,513,780,581,712,881,637,868,
191,298,689,943,718,821,024,184,081,290,208,639,377,854,362,296,930,926,262,
664,785,748,144,942,743,814,745,205,161,668,236,779,997,284,413,890,932,909,
268,294,355,570,826,277,360,563,179,920,420,733,201,865,601,553,105,449,859,
074,012,304,082,213,922,030,924,917,230,171,274,190,674,833,226,045,852,498,
481,014,399,609,672,428,252,655,782,399,507,490,598,827,069,940,325,963,372,
554,725,903,423,392,098,195,642,022,978,309,047,859,121,803,787,548,712,169,
852,266,376,357,918,339,469,302,286,825,668,044,679,850,666,279,930,580,045,
754,130,504,593,727,536,031,053,548,636,474,660,747,548,721,151,357,633,163,
035,131,437,741,114,616,272,118,591,543,230,146,511,218,467,695,878,899,663,
744,374,943,320,876,799,606,381,120,681,895,836,798,683,963,966,931,142,266,
753,304,451,725,979,835,241,624,909,880,566,347,884,390,675,234,581,904,233,
019,410,281,387,745,313,242,698,796,582,194,135,815,218,961,285,064,385,408,
768,099,592,767,580,240,573,916,221,650,878,551,300,933,770,924,166,529,425,
504,166,508,127,013,370,251,406,774,922,169,794,601,230,979,652,090,487,016,
445,274,290,531,990,488,330,737,201,798,637,421,523,756,202,673,922,949,454,
228,052,097,561,826,105,316,224,061,600,235,749,435,126,267,086,907,484,182,
368,894,548,918,256,073,514,449,510,268,560,072,572,456,824,115,308,353,471,
375,920,081,304,346,974,990,107,837,993,129,111,342,884,101,626,761,937,567,
822,248,212,886,773,267,679,566,636,244,928,414,592,716,314,725,627,104,078,
109,966,333,695,652,651,058,558,267,002,718,129,259,554,531,722,073,361,885,
296,609,055,365,720,538,231,126,642,370,452,823,420,390,616,144,237,701,574,
680,410,335,306,604,430,885,756,571,490,624,882,389,415,392,289,122,358,736,
452,769,480,807,067,839,768,725,124,943,734,816,265,424,675,389,467,668,922,
816,711,719,242,832,582,025,297,028,834,521,283,096,764,137,191,917,171,080,
152,174,667,290,320,924,549,330,499,258,358,206,088,321,709,813,278,931,025,
609,610,007,793,722,663,910,028,292,898,482,098,367,724,184,115,397,352,106,
962,603,385,742,313,464,477,685,281,340,583,853,247,626,153,694,421,488,495,
480,179,678,191,136,542,164,091,240,881,505,734,035,481,180,253,930,019,459,
281,298,641,274,169,478,417,646,173,957,927,287,253,144,716,071,505,898,289,
786,581,301,946,135,791,712,728,486,550,048,883,656,000,947,177,501,251,154,
409,739,952,278,554,952,272,083,410,193,595,042,820,992,698,904,478,486,513,
504,284,780,626,790,007,376,725,204,166,682,940,421,796,750,775,997,225,427,
596,865,131,182,929,178,912,333,304,160,404,554,009,402,564,947,696,835,059,
544,883,897,861,588,410,951,580,535,797,347,707,432,413,342,102,271,865,890,
733,284,254,388,134,272,697,212,505,332,407,202,512,973,580,048,552,956,873,
683,615,330,262,451,458,350,188,322,857,213,751,491,805,379,562,931,920,342,
443,228,668,435,840,040,296,718,460,678,504,613,800,239,295,535,971,168,783,
341,512,999,172,746,394,182,147,011,082,585,302,669,539,250,345,806,222,077,
686,756,619,361,094,638,324,050,712,788,480,789,864,748,899,441,024,401,763,
745,054,786,556,439,040,466,170,622,191,694,706,562,747,089,991,203,736,503,
263,364,603,157,548,643,448,731,648,491,369,504,699,811,223,855,077,102,967,
812,068,850,370,264,228,248,323,514,914,175,601,309,906,429,413,825,111,819,
741,442,138,868,076,525,348,869,429,129,359,195,423,827,766,049,755,605,709,
220,991,553,508,501,598,114,518,440,325,387,637,548,302,725,866,997,140,842,
202,916,367,345,178,166,322,103,169,130,421,348,368,932,448,010,536,306,808,
933,937,015,172,417,630,600,217,423,961,218,870,493,299,194,940,381,537,426,
945,187,224,349,205,373,844,046,114,933,486,060,598,889,260,063,742,142,918,
246,410,976,078,966,536,269,857,735,104,303,905,595,711,617,890,294,593,477,
562,849,681,691,489,584,023,649,527,597,904,395,439,163,240,590,547,330,654,
859,413,592,627,773,668,127,461,492,531,348,931,337,394,482,134,346,242,720,
453,627,104,652,701,326,135,816,971,699,809,748,576,455,792,629,953,490,577,
061,048,078,704,564,965,733,725,174,967,325,513,313,876,346,499,242,687,745,
586,906,455,913,515,622,832,699,543,693,372,249,234,065,943,567,005,495,487,
507,556,866,736,047,105,657,761,707,614,822,800,496,592,287,039,081,486,828,
497,626,356,352,341,494,466,313,371,401,718,196,282,996,075,583,103,294,352,
550,819,318,574,357,104,377,743,334,514,919,065,968,326,781,559,349,074,850,
312,616,826,774,626,767,601,739,494,800,730,866,465,847,143,612,359,190,956,
070,839,400,631,124,233,992,450,137,397,336,699,912,062,286,718,542,360,671,
673,908,273,573,581,931,279,428,671,476,491,370,990,664,787,044,941,243,081,
960,519,959,093,647,746,372,615,429,322,271,905,781,620,195,460,898,479,142,
352,530,057,494,252,238,499,588,018,862,775,785,885,078,924,854,407,113,474,
424,554,665,958,371,845,517,260,918,071,334,518,234,462,104,074,310,728,866,
724,572,696,318,936,289,872,637,488,591,181,358,401,353,629,583,901,511,313,
137,787,089,965,025,554,730,983,561,735,716,587,927,378,162,335,433,037,605,
212,015,935,003,304,329,645,611,948,940,534,419,832,315,113,567,004,376,313,
131,627,123,733,305,523,251,031,798,901,958,325,699,479,563,913,918,066,550,
814,431,494,308,387,985,962,443,080,840,919,622,968,018,760,938,475,001,843,
191,618,360,323,263,206,770,783,679,089,046,392,170,881,657,966,799,882,005,
601,924,862,444,952,680,430,978,559,809,031,598,546,335,827,545,103,660,133,
866,611,281,617,729,765,046,696,080,612,091,584,256,134,474,810,796,109,443,
603,251,887,301,140,902,380,152,184,068,366,983,864,292,859,071,477,210,984,
507,005,206,955,925,104,448,693,809,602,880,885,591,298,279,034,124,191,616,
261,450,749,776,227,423,673,129,874,353,071,131,569,088,834,289,205,776,279,
406,189,174,778,918,361,633,860,010,369,230,953,510,021,372,881,492,935,002,
960,221,067,900,108,143,598,162,217,796,906,301,753,984,193,171,521,561,447,
533,823,790,389,555,394,114,617,528,830,433,513,277,887,495,349,719,672,781,
534,860,483,101,341,923,785,578,809,944,241,292,854,018,417,614,751,601,276,
841,042,539,346,663,132,505,678,253,528,537,740,210,053,031,725,627,819,247,
986,224,783,581,454,157,481,107,391,636,926,140,370,953,732,460,002,757,472,
126,080,654,323,372,105,620,347,645,979,227,354,287,389,839,985,749,102,066,
627,986,234,549,452,330,187,487,034,834,950,798,305,714,036,673,732,613,948,
971,155,305,631,469,316,830,480,246,642,091,477,821,964,320,323,949,780,683,
539,507,554,266,717,603,522,273,288,703,756,862,649,883,087,350,631,616,078,
724,610,440,029,284,816,224,638,425,381,858,197,431,058,828,132,000,071,004,
817,580,975,461,425,087,632,981,316,063,494,817,258,940,999,057,820,206,794,
628,032,361,684,296,828,290,311,991,703,154,420,480,965,989,930,831,844,848,
187,945,088,390,234,301,675,273,708,387,426,060,586,490,152,103,807,159,672,
410,229,398,744,993,859,403,157,287,599,744,034,773,883,738,285,933,066,606,
083,128,650,816,014,211,658,374,382,045,943,602,403,410,474,681,362,856,980,
177,101,880,674,653,396,958,267,571,843,447,570,068,088,310,785,616,893,418,
586,522,817,452,631,691,347,113,297,472,324,098,507,771,306,115,754,712,609,
807,547,177,407,408,987,270,552,373,503,178,524,230,794,661,710,731,433,266,
565,877,158,655,140,714,933,377,011,697,890,673,576,039,491,829,825,643,273,
391,529,044,906,700,451,566,360,599,718,708,454,003,507,762,604,392,047,679,
610,487,851,261,082,081,886,896,668,784,819,190,535,147,361,276,327,399,541,
791,687,873,145,403,459,804,917,556,403,344,260,235,236,404,073,956,018,448,
782,778,191,640,846,761,670,898,455,421,642,637,376,538,069,255,919,671,150,
057,658,224,260,841,336,428,636,984,100,445,956,083,142,022,058,918,579,897,
753,996,093,350,867,235,791,190,812,135,448,810,237,689,051,110,589,158,982,
271,220,813,762,436,213,457,376,494,385,099,520,791,941,338,512,865,667,867,
184,874,953,535,782,282,474,697,572,881,395,953,516,207,465,753,677,928,316,
582,852,292,745,776,691,157,660,994,234,867,817,994,296,596,022,304,244,241,
738,442,349,437,193,534,214,972,034,651,384,928,468,344,570,557,857,856,501,
386,205,814,945,416,963,856,680,665,496,739,435,333,310,973,919,779,249,410,
782,889,056,204,496,027,176,040,528,983,937,505,413,558,860,831,881,551,223,
551,440,617,386,160,777,113,642,689,898,763,374,390,481,724,220,656,130,837,
587,772,328,009,556,129,779,221,646,579,558,970,168,449,701,871,000,696,749,
664,840,710,296,671,430,921,844,800,718,046,741,936,749,225,606,981,985,884,
766,054,501,488,112,453,398,916,479,208,914,259,689,033,006,993,701,368,317,
837,282,392,690,910,865,307,529,447,643,834,404,917,478,800,456,872,440,217,
002,747,300,498,834,159,016,414,498,288,551,091,754,167,271,106,261,772,845,
836,525,024,265,016,710,166,470,515,822,456,477,094,536,833,364,862,895,309,
714,967,019,749,470,880,755,148,245,670,235,077,673,122,122,207,614,825,751,
847,530,857,940,082,686,135,351,981,655,733,039,270,079,245,515,992,214,151,
333,801,280,003,411,782,577,289,670,227,089,079,958,852,699,790,238,748,248,
317,552,485,949,101,586,003,705,240,850,418,039,862,353,783,384,341,406,046,
511,845,411,224,068,389,794,637,535,382,783,645,190,382,330,198,522,940,224,
070,059,267,253,903,333,753,629,106,360,994,297,571,726,396,846,218,360,659,
858,500,275,058,748,243,210,848,936,768,029,074,922,014,446,924,782,923,548,
138,020,155,255,510,359,704,220,868,010,073,959,117,719,985,941,041,617,410,
626,555,744,507,309,000,374,149,720,322,492,743,341,337,382,363,542,999,786,
445,762,895,090,491,767,990,688,822,276,008,059,179,405,392,591,931,504,733,
302,880,365,112,107,290,615,976,806,051,420,055,628,441,293,597,955,273,103,
522,034,050,053,081,859,507,359,591,308,119,346,953,097,895,314,317,216,928,
861,229,823,447,353,322,597,870,963,977,594,386,157,365,996,868,827,539,049,
277,224,223,215,005,309,515,963,272,648,215,332,090,753,581,297,292,265,832,
544,641,054,911,220,472,081,875,849,680,717,193,875,144,901,949,105,438,792,
308,465,167,681,794,928,154,211,400,591,295,191,810,722,268,830,521,127,092,
515,910,095,268,807,269,724,790,516,322,213,605,489,176,832,245,976,730,065,
517,791,445,192,466,364,393,134,595,853,883,769,137,407,517,902,109,743,460,
681,363,436,937,143,451,358,663,355,395,107,538,099,689,778,986,608,859,403,
808,330,003,480,692,776,142,043,879,744,630,759,818,282,106,083,352,504,932,
808,288,717,571,852,384,264,274,872,469,523,868,240,582,443,634,974,363,860,
475,980,185,442,542,341,727,498,132,922,307,386,332,764,756,332,027,281,787,
607,458,997,011,251,484,898,340,895,939,355,722,077,149,801,096,169,921,581,
329,546,656,778,108,012,771,401,930,043,340,999,339,608,548,136,755,853,796,
632,542,880,578,843,904,755,704,480,826,511,268,249,505,351,659,148,328,500,
120,168,485,957,528,819,424,574,246,761,749,099,665,994,291,631,651,854,273,
869,794,795,979,200,917,113,625,948,658,843,650,175,601,995,844,515,786,554,
647,473,328,482,892,043,952,234,565,809,500,863,749,575,779,877,528,102,588,
587,210,879,116,456,755,158,807,434,183,754,487,845,725,532,522,621,539,273,
309,749,825,042,543,824,085,286,534,560,217,385,595,961,315,565,291,056,434,
732,845,251,977,967,275,528,712,956,918,787,966,042,999,812,479,282,681,549,
589,795,605,209,372,600,315,724,582,897,314,568,542,253,396,586,165,052,019,
897,543,426,174,511,190,626,549,079,005,560,766,265,485,581,284,305,351,488,
467,010,019,778,473,573,001,050,290,602,421,146,098,121,375,937,813,010,561,
187,305,246,643,334,683,629,518,028,166,255,523,876,765,203,695,623,325,270,
442,888,839,667,118,963,331,886,984,156,781,153,095,763,974,075,030,145,648,
271,073,634,497,857,388,262,768,994,804,688,457,000,137,366,114,290,164,883,
425,822,917,494,536,784,848,277,115,449,699,378,924,367,479,250,543,102,367,
332,688,644,146,128,411,772,611,920,949,117,625,064,537,976,715,645,849,267,
521,326,172,662,287,457,825,782,400,835,348,628,838,118,587,106,637,268,977,
910,581,401,565,690,469,423,301,390,259,993,396,778,453,405,480,817,098,032,
602,550,840,877,190,633,781,954,644,662,660,007,148,714,060,523,232,975,336,
968,077,614,314,477,758,326,757,005,772,298,630,441,189,215,427,993,187,997,
314,067,028,576,908,819,887,613,305,170,142,498,617,847,200,417,511,435,696,
777,815,753,603,809,071,512,820,504,774,600,520,042,575,088,458,616,471,236,
306,766,417,334,317,182,338,252,172,981,143,408,686,800,684,535,248,235,168,
714,541,863,213,980,324,087,798,291,982,506,817,642,959,557,294,949,687,028,
321,209,559,458,543,456,839,244,667,144,505,812,801,099,468,264,605,176,042,
324,992,676,787,244,324,541,785,686,839,316,489,625,413,215,403,009,600,784,
035,542,083,631,558,217,388,292,811,596,265,695,887,945,219,019,051,868,375,
028,538,941,274,130,082,290,373,240,789,600,060,999,379,285,106,386,886,215,
385,440,880,470,866,929,660,919,043,892,062,716,339,798,503,266,466,059,063,
861,789,889,589,868,426,863,249,932,234,238,253,358,288,869,755,130,454,117,
567,630,350,167,263,599,282,773,739,799,159,751,702,385,884,984,697,322,505,
695,090,364,347,810,691,470,256,867,018,398,212,538,181,789,776,888,089,319,
786,405,993,734,893,054,825,029,111,884,956,641,386,246,279,271,043,806,810,
702,184,379,323,476,920,764,047,367,707,318,059,028,070,848,726,983,638,197,
569,991,070,183,208,701,591,879,747,766,754,801,340,533,077,638,967,872,933,
336,123,208,204,663,798,947,569,032,453,922,313,134,697,715,048,032,623,315,
918,233,460,729,586,168,316,163,336,377,827,665,254,700,558,082,838,541,089,
791,057,364,465,255,319,753,550,949,172,537,723,683,532,610,210,952,894,976,
881,598,135,744,697,668,672,749,085,301,687,546,072,966,074,818,297,510,211,
751,737,226,170,109,763,171,338,976,746,769,489,868,010,282,685,639,475,147,
055,842,773,682,616,086,756,789,536,392,112,869,238,560,157,444,503,821,884,
432,286,502,116,139,614,038,996,577,946,143,528,199,718,354,500,067,178,791,
339,412,541,421,280,422,683,032,944,290,218,223,687,559,500,618,247,020,878,
130,146,784,654,389,606,301,840,583,582,919,790,940,981,713,183,740,085,071,
902,844,755,464,365,349,145,896,344,046,126,017,863,628,469,250,094,359,764,
984,489,191,253,901,894,150,288,869,518,701,950,613,200,303,778,564,439,990,
249,425,035,705,013,353,698,017,754,247,130,827,418,063,416,545,425,299,523,
765,993,645,420,277,325,726,559,995,022,351,307,910,250,106,164,719,469,971,
530,866,355,723,556,351,268,164,021,217,010,433,906,436,622,419,865,394,784,
913,255,346,415,659,140,349,216,584,489,543,438,575,355,043,696,070,387,469,
168,272,349,370,219,985,945,063,948,398,715,947,197,209,363,669,190,505,109,
882,718,376,928,115,565,420,323,138,775,340,051,398,143,125,297,289,950,232,
620,767,270,156,400,678,620,141,319,862,039,146,037,990,575,532,674,179,151,
121,296,290,962,035,954,728,870,291,067,604,654,267,680,137,183,982,862,551,
210,031,101,898,194,546,983,418,117,496,121,299,516,695,365,987,787,177,360,
065,108,375,600,447,551,135,286,927,087,406,856,096,969,732,685,096,238,759,
056,214,461,501,709,207,269,174,037,485,636,729,879,813,302,441,339,987,603,
120,207,200,737,046,608,183,628,978,284,993,328,343,201,048,780,941,095,963,
463,466,450,751,131,688,452,528,946,324,504,800,985,926,717,460,695,455,856,
242,221,938,185,291,362,746,996,062,012,436,718,940,847,992,642,160,090,029,
808,426,948,886,717,312,338,107,758,146,162,143,716,331,441,406,819,437,414,
194,785,109,458,962,436,459,992,833,243,536,946,568,082,254,249,959,712,187,
812,950,398,999,734,092,094,893,894,542,325,971,423,470,056,114,804,205,407,
937,314,126,682,955,871,565,781,233,778,391,232,250,372,129,613,462,403,691,
558,258,952,331,945,868,627,721,648,858,795,024,122,106,133,687,602,609,800,
160,673,377,003,204,428,297,970,651,387,575,592,530,378,757,723,043,311,580,
538,730,389,748,741,966,969,719,435,635,526,634,163,691,896,456,965,899,683,
554,813,083,539,022,200,798,890,888,236,184,951,278,357,653,590,341,513,218,
785,673,338,857,861,366,126,328,705,934,402,141,599,611,157,481,989,254,288,
916,091,618,845,182,118,683,716,393,115,208,069,086,772,116,409,484,117,887,
902,871,524,146,959,974,779,846,090,542,268,655,801,004,821,024,405,270,250,
656,378,055,975,957,063,469,482,583,129,883,224,916,531,267,744,333,272,166,
363,234,350,542,581,945,516,437,335,429,266,232,051,674,531,246,217,000,853,
530,021,028,482,534,447,988,382,230,362,571,324,791,703,451,631,130,027,845,
176,433,653,167,255,524,815,126,097,154,415,381,966,305,443,949,927,228,427,
123,289,401,681,668,472,886,074,276,339,966,536,435,378,624,141,620,616,061,
590,968,724,449,932,649,239,259,325,439,014,788,729,312,582,302,663,742,011,
199,105,103,159,009,171,583,527,555,605,048,057,846,673,181,920,871,870,771,
390,941,973,572,367,068,070,833,447,360,228,054,417,552,114,515,761,645,406,
636,872,622,014,104,064,059,585,265,050,548,775,508,337,545,898,274,321,873,
025,012,022,499,344,710,169,067,140,541,777,677,360,262,269,164,405,555,481,
898,915,631,742,721,415,018,975,158,929,659,752,229,169,144,887,555,333,769,
113,968,462,721,914,815,671,271,421,944,724,739,600,909,184,883,999,945,929,
300,153,493,502,723,075,711,431,873,486,252,681,302,570,189,313,581,204,745,
599,660,257,638,532,971,670,166,128,777,982,453,117,184,265,887,821,886,589,
408,261,090,865,822,783,349,591,735,375,666,841,803,671,150,611,581,364,483,
143,243,802,192,082,439,640,621,528,196,917,287,591,756,904,531,399,426,078,
830,476,299,313,122,124,355,103,904,838,729,468,560,745,329,187,102,257,448,
161,502,331,207,273,112,958,529,203,274,326,095,965,521,779,140,797,097,342,
497,279,012,840,219,167,856,823,594,292,397,618,941,782,527,757,951,424,699,
100,310,106,107,226,123,998,151,122,213,496,087,011,667,067,156,325,109,993,
264,393,893,868,079,100,818,995,581,328,865,606,525,047,716,591,220,961,699,
192,675,506,308,770,183,867,652,911,419,296,856,376,328,518,897,625,719,817,
890,509,979,537,946,658,433,432,858,916,483,445,101,801,032,402,375,868,601,
524,026,195,991,988,879,225,464,900,618,238,964,643,369,778,523,430,878,296,
125,154,997,180,352,645,549,524,550,481,801,046,262,134,702,585,552,708,624,
661,144,833,120,336,785,702,398,551,618,884,258,413,046,018,025,712,695,475,
533,221,149,511,571,721,422,422,300,620,298,773,617,694,615,866,200,535,975,
011,632,832,860,655,727,916,913,023,873,927,254,726,394,001,441,134,661,642,
827,844,963,787,226,003,608,661,901,989,164,770,033,921,547,256,231,262,666,
187,159,334,271,123,444,544,482,996,999,962,919,287,469,533,211,976,129,428,
907,876,140,536,088,693,273,255,124,711,025,278,038,411,446,715,676,993,596,
740,088,592,271,092,761,166,883,007,824,078,358,068,199,340,728,148,987,219,
521,002,749,822,028,402,494,670,582,934,258,080,336,451,415,732,138,198,312,
579,029,798,563,710,045,705,742,376,386,952,433,399,311,948,490,219,593,302,
727,328,251,666,714,477,518,048,492,508,979,320,042,566,815,943,094,183,768,
345,745,566,028,900,463,502,888,373,230,151,280,150,960,828,200,554,350,539,
097,122,319,372,908,487,839,083,291,987,647,013,267,682,524,321,568,255,433,
365,033,517,891,167,895,500,161,024,832,404,567,632,432,584,413,710,492,487,
778,129,189,138,455,277,489,304,652,693,931,398,223,015,726,028,569,510,042,
834,110,324,640,262,096,169,270,408,866,122,362,550,029,129,076,671,534,078,
338,155,656,246,120,191,465,908,135,580,189,573,642,953,309,762,783,295,895,
214,364,076,459,017,425,295,219,932,351,181,578,301,244,488,568,719,955,783,
165,703,654,901,554,358,707,116,917,983,467,953,187,902,120,797,933,870,050,
569,966,803,361,435,489,150,551,787,717,974,814,725,399,625,858,034,078,614,
873,660,791,238,592,512,803,154,814,140,399,619,687,927,926,293,253,647,355,
055,469,879,598,674,143,421,774,138,185,556,586,656,498,608,746,997,314,791,
079,257,352,130,500,908,271,631,050,000,628,357,152,485,524,524,217,948,393,
923,892,141,151,437,373,122,099,789,998,775,303,272,637,298,560,804,548,018,
050,009,016,819,209,879,860,982,334,600,351,036,194,186,956,777,983,835,874,
442,178,867,615,940,570,195,010,113,873,181,632,035,662,135,705,410,941,983,
576,430,649,912,304,062,344,738,434,075,508,593,481,827,608,147,250,655,270,
785,329,970,419,912,597,591,885,037,703,094,821,192,158,283,220,742,511,843,
270,867,841,321,001,835,133,644,202,429,292,951,270,463,207,217,309,302,155,
337,171,092,446,697,432,388,908,942,648,160,093,348,793,060,085,677,773,315,
220,400,030,050,934,297,961,469,707,470,704,563,258,542,690,021,141,417,700,
888,681,632,501,209,704,842,681,861,207,261,755,217,412,694,950,524,421,972,
429,335,825,431,711,771,214,239,020,788,445,961,676,291,314,948,481,189,429,
201,917,524,321,593,866,336,279,427,624,863,051,016,349,704,851,062,367,537,
729,583,708,710,054,184,910,376,414,000,253,296,200,657,698,681,323,645,982,
370,277,087,434,306,014,328,369,458,945,640,093,530,934,924,388,582,525,219,
533,936,184,016,042,317,103,560,861,794,093,701,873,496,666,130,349,745,936,
274,735,487,251,324,997,829,508,715,512,416,759,397,973,893,669,158,933,048,
583,967,460,708,426,103,992,908,294,604,915,765,712,829,290,530,267,812,047,
267,231,216,247,697,659,358,935,060,248,530,817,832,698,324,285,980,172,086,
068,963,823,333,353,608,121,581,487,337,323,227,002,487,514,666,319,069,950,
180,933,448,614,798,779,706,728,563,303,925,232,590,089,272,727,336,762,864,
749,184,838,964,137,319,008,812,591,352,162,342,162,463,346,652,512,696,817,
281,784,705,104,161,862,421,038,911,242,227,920,074,542,773,385,622,989,728,
777,489,216,993,497,391,052,494,686,334,898,609,487,035,389,660,347,394,841,
900,716,284,066,859,818,527,469,614,432,123,664,208,979,027,880,038,136,351,
461,522,144,036,846,300,613,384,570,706,173,675,890,312,854,822,845,592,434,
263,026,772,245,002,362,667,944,468,546,190,960,592,887,449,599,119,774,734,
031,705,269,082,247,630,903,504,920,957,309,503,045,147,973,613,260,561,876,
733,440,458,437,671,971,774,148,980,956,824,405,708,050,556,723,506,449,608,
756,310,434,586,702,797,126,475,562,241,351,320,004,473,087,966,872,396,664,
392,809,081,591,911,206,679,577,355,111,106,026,991,479,502,033,361,461,199,
273,429,137,215,461,930,939,212,517,318,215,710,664,695,437,661,737,681,336,
110,221,297,238,844,467,997,295,027,112,612,385,169,401,370,439,272,996,080,
030,567,476,064,847,161,608,914,496,759,730,283,564,733,584,151,282,139,235,
067,980,082,583,203,969,750,717,243,540,226,857,509,715,993,661,504,886,012,
109,180,741,203,541,244,342,952,166,313,596,272,155,442,551,510,951,033,967,
875,158,747,489,143,131,068,832,544,318,428,348,076,279,805,971,555,302,805,
997,883,022,191,121,470,181,951,595,034,135,523,305,202,620,896,952,647,937,
683,480,643,613,985,439,543,606,195,025,117,291,861,054,542,289,087,358,870,
577,599,062,302,115,472,892,035,110,901,076,304,661,437,936,563,930,217,715,
967,020,908,535,592,734,644,140,834,108,460,759,700,188,874,675,277,092,868,
915,682,762,319,109,803,234,338,536,409,016,241,515,183,373,532,057,838,729,
850,970,094,238,224,390,305,714,892,480,918,115,583,012,286,725,922,852,668,
334,635,922,268,850,134,208,906,373,186,680,499,581,333,853,237,649,069,599,
786,675,720,363,162,014,617,321,980,926,991,924,413,481,628,307,719,337,469,
590,415,586,323,987,044,764,412,773,027,563,788,587,569,209,138,209,544,128,
814,654,202,494,995,576,631,913,718,157,258,404,424,544,381,141,361,232,694,
595,593,197,267,965,950,639,631,040,339,052,553,520,173,169,392,466,996,513,
061,845,057,709,658,380,482,219,928,828,697,409,948,660,872,843,072,128,334,
084,153,493,232,496,652,927,288,109,960,388,367,199,222,365,199,376,910,098,
657,403,117,705,758,525,941,716,063,144,494,944,362,086,101,561,401,638,665,
898,820,875,319,351,094,465,223,673,600,674,947,500,439,945,481,336,687,633,
252,506,731,417,826,478,656,092,010,365,302,215,935,271,420,535,358,284,793,
077,580,372,614,533,670,395,306,237,064,804,939,043,870,022,852,087,126,231,
618,839,197,889,539,551,325,732,370,611,712,979,401,650,505,778,264,294,465,
940,783,801,791,466,947,411,799,061,537,399,684,150,403,671,262,675,869,059,
650,094,809,902,651,962,418,073,243,068,475,714,142,800,911,466,592,343,686,
787,017,622,975,265,174,917,219,989,061,310,045,621,526,041,322,694,188,249,
074,240,110,120,686,106,643,991,624,911,950,662,058,656,949,410,134,918,958,
934,028,892,726,615,837,959,271,417,075,348,358,780,728,835,406,957,084,169,
045,237,932,632,942,328,115,395,965,784,314,004,569,279,033,312,794,258,543,
371,649,445,257,655,815,665,802,782,724,314,033,596,325,019,572,409,786,907,
913,660,980,680,322,856,092,112,935,016,208,739,890,140,037,762,446,648,240,
224,173,097,788,120,929,721,747,938,016,235,850,041,421,081,614,597,504,359,
213,093,334,072,088,800,347,745,725,765,996,462,697,506,754,759,567,891,005,
882,853,020,399,685,320,913,453,835,194,360,050,359,368,688,400,999,272,809,
214,662,502,471,169,604,485,600,931,297,278,293,225,980,335,469,157,532,427,
833,332,890,231,365,802,373,420,927,203,808,276,385,276,144,199,405,986,190,
671,128,730,670,662,977,030,136,519,610,854,118,856,704,585,530,525,909,732,
301,918,864,396,022,823,803,213,152,515,676,945,285,013,890,858,657,666,357,
677,828,991,104,394,193,391,747,610,098,881,701,515,400,146,307,701,672,483,
307,753,423,143,708,254,844,325,876,881,004,595,261,169,304,073,339,301,932,
714,177,650,366,893,837,146,629,269,846,649,201,946,904,191,294,790,592,788,
918,031,333,533,908,257,698,141,707,141,118,932,647,378,610,762,702,558,731,
729,955,739,321,853,060,261,297,651,971,540,688,060,569,119,788,260,468,351,
005,482,429,749,815,886,096,686,814,312,713,183,097,796,159,099,222,542,443,
425,488,536,312,868,682,032,810,417,552,296,502,025,218,728,289,092,332,642,
680,916,407,585,357,081,849,595,638,977,733,789,265,831,174,226,625,752,441,
942,419,869,484,468,478,460,552,137,367,410,076,043,154,015,332,113,589,730,
181,034,737,120,695,755,115,152,699,348,014,864,544,771,232,977,459,936,782,
715,596,770,388,662,342,379,380,111,036,023,693,141,941,252,354,041,347,358,
740,553,291,855,106,230,561,443,742,608,433,803,174,926,168,354,482,928,859,
864,271,967,696,410,321,906,466,717,402,616,766,920,358,878,298,032,004,662,
204,785,955,644,731,241,271,436,564,277,753,872,505,586,163,345,318,046,329,
667,821,178,764,756,099,077,452,471,388,372,978,507,852,360,585,134,435,245,
518,624,843,820,135,614,331,563,426,521,993,744,699,818,642,349,973,522,199,
538,180,994,244,674,163,591,357,033,205,144,572,177,583,977,481,056,770,236,
413,455,931,878,352,710,370,161,141,681,993,597,611,291,203,624,063,784,960,
419,032,011,058,418,522,227,280,760,044,004,941,205,540,373,208,150,313,854,
052,783,399,957,199,786,061,053,804,699,583,780,351,627,481,565,780,925,403,
748,202,816,068,258,106,920,362,396,375,179,160,762,657,151,213,569,063,398,
499,916,193,131,892,868,137,170,701,390,526,320,598,873,600,508,452,940,663,
491,412,302,769,217,595,471,088,439,292,287,073,509,984,918,354,831,724,881,
752,580,619,356,382,608,494,059,008,995,629,654,374,748,326,506,092,471,115,
228,063,489,333,106,465,606,720,876,997,101,914,346,929,964,234,566,202,736,
955,665,637,923,323,963,716,390,708,701,234,703,063,396,763,721,851,263,512,
795,217,616,019,255,119,555,783,054,098,610,288,985,839,719,868,153,334,918,
034,783,680,640,733,124,427,705,798,057,568,402,731,882,510,285,088,992,033,
365,775,126,762,505,370,351,574,064,229,872,116,161,462,613,437,830,824,822,
168,166,553,069,698,465,514,310,880,376,810,622,699,565,044,177,102,587,075,
237,183,564,527,679,008,689,756,061,155,446,511,612,929,541,465,684,799,739,
448,372,925,686,765,449,896,131,557,248,908,770,676,915,004,937,570,814,997,
566,730,176,892,773,533,959,963,121,128,597,721,144,145,695,835,609,340,032,
858,319,366,928,360,109,496,109,001,685,059,455,263,566,973,177,450,213,607,
126,486,778,059,068,421,252,279,162,384,785,913,778,741,853,628,930,562,902,
375,252,078,176,431,647,595,643,420,287,298,080,934,626,907,498,739,223,537,
019,499,568,919,751,399,718,038,156,066,085,715,843,698,178,397,139,140,210,
045,630,388,519,412,913,045,125,609,218,251,929,466,045,793,070,629,888,104,
015,764,221,894,604,129,218,028,056,469,638,911,568,165,213,713,696,829,902,
535,279,596,590,930,628,535,828,578,061,300,956,630,010,584,700,538,170,408,
984,900,105,512,698,781,745,213,042,640,490,829,676,947,302,323,390,775,640,
921,936,991,290,517,905,814,229,614,817,940,894,612,854,528,083,809,268,188,
309,227,116,502,636,535,344,046,225,745,895,268,010,050,606,697,126,066,641,
731,780,203,834,329,450,580,244,745,895,773,269,534,417,152,995,471,984,668,
455,706,511,940,473,785,909,946,088,711,318,373,050,640,538,082,215,241,590,
289,484,385,893,089,053,681,172,621,742,124,837,375,601,024,216,054,104,182,
319,399,586,601,400,303,065,506,623,955,496,277,479,494,339,933,557,295,064,
177,023,673,166,894,032,526,056,580,762,819,653,968,297,297,295,989,883,034,
446,920,399,928,201,706,199,547,985,489,161,509,939,093,102,468,475,528,106,
785,318,709,099,790,550,153,108,370,195,570,857,640,449,041,129,730,323,172,
137,006,541,237,267,767,944,129,464,829,361,412,653,266,771,767,213,324,690,
284,972,216,914,137,579,816,702,013,666,337,243,308,972,932,760,435,655,516,
817,147,704,736,364,742,172,030,756,353,300,938,974,766,463,040,487,155,374,
908,840,696,585,626,664,614,434,295,067,722,366,941,186,866,618,299,884,478,
412,902,422,521,704,219,941,840,941,808,881,323,691,682,969,821,551,502,279,
934,920,565,156,925,075,129,660,904,460,163,656,000,405,576,216,660,577,164,
416,068,527,029,748,843,683,244,226,595,189,768,510,425,876,171,523,014,323,
769,190,930,089,780,165,361,724,001,477,838,995,148,000,999,014,644,944,961,
800,123,411,424,547,495,381,309,081,629,389,964,236,241,879,948,644,615,360,
715,364,763,760,659,360,994,143,086,500,764,553,717,519,107,076,751,203,215,
581,094,491,617,816,854,136,130,696,163,967,731,808,718,846,954,915,683,401,
648,668,105,989,943,480,405,602,724,488,832,835,685,670,286,046,124,326,769,
067,274,726,279,744,637,981,322,550,634,390,179,682,774,157,778,693,081,604,
370,448,983,226,229,623,519,158,691,767,459,289,613,738,180,886,637,388,073,
573,704,250,486,795,542,017,749,206,380,902,789,493,562,283,938,350,954,210,
203,030,006,382,945,533,140,073,123,629,486,208,717,387,091,145,471,317,931,
081,881,414,233,292,152,994,459,975,686,589,521,373,002,189,559,307,488,430,
874,456,520,339,354,145,654,869,928,458,321,916,640,219,970,050,462,126,168,
445,280,559,805,459,578,873,860,075,405,518,257,973,144,092,305,464,344,453,
690,668,151,380,624,668,953,220,697,307,000,257,619,976,398,199,848,108,704,
948,340,992,161,044,783,658,377,271,017,391,121,139,209,247,200,468,896,601,
418,751,375,901,086,182,666,747,279,319,207,144,096,094,898,779,980,446,728,
271,930,484,662,542,509,065,045,925,074,542,545,536,183,185,785,485,838,413,
987,041,163,821,057,713,085,825,697,831,018,232,953,254,159,397,528,367,694,
252,633,546,380,868,354,551,820,050,447,671,098,712,851,180,105,103,739,988,
162,761,197,406,571,984,422,583,269,565,058,871,856,298,781,983,173,410,832,
740,731,818,699,234,465,108,056,293,507,215,577,959,521,465,542,864,556,365,
868,627,609,808,932,237,681,671,190,206,233,777,267,869,230,863,703,813,028,
791,529,102,505,535,057,323,555,771,346,909,696,051,385,871,190,663,947,169,
924,823,794,107,204,893,431,852,435,132,538,257,959,164,642,225,265,467,361,
263,254,676,538,886,089,572,511,896,716,061,249,324,978,344,020,314,501,438,
609,541,700,130,947,213,731,139,307,004,059,931,416,856,347,859,972,445,056,
106,351,949,570,934,645,997,935,245,869,762,437,471,118,069,855,295,795,555,
224,500,909,984,051,009,049,093,960,440,663,271,279,312,710,543,071,454,971,
049,603,232,597,053,834,531,987,069,093,579,927,088,452,523,796,954,168,957,
935,811,269,633,609,289,702,860,212,102,154,804,296,477,393,251,220,875,103,
300,435,532,743,890,647,152,612,944,955,618,736,952,267,571,689,545,011,306,
905,073,971,242,217,541,293,961,844,802,642,806,957,784,655,729,387,699,238,
304,053,274,715,246,562,832,091,163,697,785,619,450,926,724,215,340,656,544,
488,315,983,977,278,982,753,146,799,228,862,972,012,423,298,680,865,113,506,
701,682,472,738,040,855,715,827,144,792,615,873,529,638,266,796,165,076,629,
969,272,899,696,679,335,923,335,376,209,168,229,742,820,673,909,768,008,515,
480,039,818,285,862,550,736,445,141,657,467,333,382,171,696,057,828,003,179,
572,497,347,170,955,441,044,478,345,920,049,285,776,073,483,332,634,286,127,
670,477,090,145,195,202,607,977,271,803,598,679,784,772,364,447,640,074,629,
727,969,629,960,460,024,586,637,448,930,350,114,906,740,226,442,085,939,568,
018,085,125,516,977,135,192,925,581,910,906,157,841,682,734,433,925,949,199,
146,433,483,247,601,002,548,204,519,815,448,268,310,127,490,204,965,562,202,
879,410,779,027,657,495,074,881,981,675,799,091,845,290,621,937,703,386,960,
272,572,770,394,868,159,267,301,471,868,720,890,395,017,940,382,578,453,741,
848,669,019,694,622,463,530,451,524,590,329,806,816,376,387,631,354,993,090,
179,527,472,568,939,502,436,290,885,901,010,383,341,225,749,477,494,323,829,
369,106,286,249,452,054,275,941,704,262,332,811,950,860,299,510,020,123,576,
027,636,774,183,742,515,882,989,261,516,986,495,836,083,838,710,714,148,866,
740,700,357,933,806,504,354,165,278,246,009,574,808,883,560,536,411,890,371,
092,693,718,161,521,765,293,304,571,076,356,786,491,329,225,221,417,763,475,
234,607,753,161,456,631,256,218,951,309,421,730,374,503,559,913,667,000,992,
881,483,316,275,672,021,358,254,394,199,992,153,062,524,880,410,948,265,907,
287,778,998,689,048,028,473,651,540,918,364,464,558,169,356,298,640,581,009,
951,368,484,317,848,578,311,611,589,407,669,055,149,374,669,315,571,130,324,
764,347,753,674,509,235,152,542,548,923,642,483,099,583,469,191,994,720,799,
209,969,079,485,642,828,654,990,440,986,112,223,076,865,060,637,349,262,775,
692,227,884,366,561,793,570,096,396,976,927,295,031,524,773,821,682,353,083,
664,209,579,066,781,994,783,883,895,243,265,854,059,939,858,549,121,024,075,
745,791,423,278,992,267,233,640,978,076,521,455,286,148,764,018,972,472,654,
005,394,515,585,368,800,283,542,946,265,883,490,702,956,252,642,166,877,134,
462,194,345,080,693,717,508,632,190,091,120,725,389,167,342,138,222,280,643,
902,014,381,005,078,125,458,725,630,746,195,573,200,122,076,106,791,345,174,
676,385,136,853,442,265,550,480,973,288,608,161,646,078,196,573,875,277,849,
126,402,024,540,354,978,474,421,829,594,638,192,029,044,309,126,142,872,926,
819,435,138,636,997,353,626,060,747,457,151,585,709,841,239,219,012,640,532,
802,131,133,404,318,075,306,330,981,251,983,650,865,765,794,863,222,603,830,
876,896,539,293,832,783,352,132,182,046,382,085,312,143,759,546,982,474,058,
504,897,449,972,945,792,295,546,101,833,756,220,980,968,068,509,253,757,880,
891,211,146,526,758,899,850,704,450,971,333,006,584,452,781,449,934,949,420,
733,341,134,338,034,089,570,202,210,464,521,114,323,017,248,929,524,725,672,
895,843,644,983,328,791,983,238,964,428,884,329,268,956,825,870,805,072,784,
928,358,581,269,603,708,129,315,372,784,244,197,353,627,670,673,488,235,089,
585,385,092,433,003,379,135,166,957,457,941,426,394,657,394,281,426,152,704,
737,104,925,779,087,590,471,870,977,426,590,445,256,863,791,032,368,222,197,
747,569,726,025,465,563,901,690,913,622,132,904,794,274,509,994,524,963,018,
874,872,395,100,605,534,390,376,283,693,485,045,510,225,511,539,605,432,415,
623,015,252,644,925,056,411,940,402,897,390,199,197,716,012,178,290,497,931,
338,883,856,886,422,519,086,101,293,144,304,555,163,153,571,849,732,014,668,
053,889,451,979,096,525,763,457,347,058,188,194,717,939,482,488,902,899,759,
458,815,687,418,140,878,244,897,909,228,807,183,141,868,997,376,604,712,187,
644,637,329,465,064,313,499,952,050,023,771,367,876,748,564,472,048,686,587,
860,365,839,422,910,314,343,869,386,512,220,352,277,349,032,826,185,614,151,
720,509,633,242,716,991,777,364,712,631,769,239,072,716,904,839,378,973,874,
224,203,920,500,189,596,139,260,267,392,750,976,307,535,515,257,633,314,189,
666,429,781,980,345,084,843,077,098,870,525,471,313,980,628,927,766,212,462,
607,623,681,059,772,843,423,159,472,308,133,203,979,702,067,049,574,893,315,
833,807,678,647,901,047,395,706,270,345,526,856,954,034,459,357,489,318,591,
592,971,510,840,052,534,832,730,449,137,942,019,416,857,588,296,585,852,108,
680,452,447,150,264,657,019,641,421,419,239,726,013,955,445,816,063,804,528,
962,998,798,975,427,266,973,704,043,169,167,811,617,541,588,404,426,696,555,
357,562,350,316,962,438,107,524,829,952,867,801,525,421,971,496,799,324,979,
388,442,255,885,977,035,866,193,905,624,167,953,628,506,219,668,257,802,472,
230,853,645,287,633,613,339,803,016,622,252,649,178,313,047,341,624,953,234,
530,865,915,766,265,385,264,001,144,874,059,761,079,466,684,230,807,169,570,
574,730,802,783,309,538,227,326,919,690,545,446,074,143,086,105,101,974,654,
690,863,665,428,954,389,040,250,249,336,155,906,912,814,524,711,808,575,245,
945,613,705,584,919,906,185,928,846,088,832,263,933,694,413,349,597,575,150,
416,582,581,395,611,573,846,314,577,739,098,195,650,606,176,936,142,044,984,
638,056,261,350,711,400,020,030,655,977,529,821,129,398,082,960,428,371,770,
558,984,213,623,958,391,828,789,013,444,818,092,565,169,214,012,824,575,875,
513,530,231,367,639,727,050,932,171,700,888,908,374,707,090,643,814,187,047,
436,327,914,782,880,298,543,120,381,569,705,766,897,912,336,695,072,853,227,
497,989,847,702,115,895,990,114,171,609,042,700,795,945,643,902,227,121,861,
792,669,978,084,958,597,773,927,846,865,053,932,664,360,426,990,189,996,596,
657,129,644,913,580,512,260,429,149,436,513,008,796,980,282,513,173,916,661,
376,792,798,586,471,860,940,981,115,304,289,239,234,410,560,458,853,628,954,
388,375,429,945,881,208,155,922,496,340,525,220,207,424,874,003,831,234,873,
583,196,724,388,815,663,637,149,417,225,934,713,354,910,531,481,164,010,551,
230,447,349,646,932,965,378,079,855,139,290,047,908,714,453,954,197,424,032,
362,147,697,261,758,465,944,756,763,284,081,588,454,178,374,237,521,644,637,
153,929,927,253,486,498,092,459,557,672,126,151,323,413,231,862,052,421,820,
838,031,336,137,652,095,031,638,909,885,415,927,364,480,940,406,981,798,310,
063,064,658,898,699,672,784,839,406,549,821,223,277,975,826,174,626,180,517,
111,398,743,667,585,936,117,862,051,892,726,037,501,265,390,357,088,706,347,
484,102,321,261,984,747,507,815,087,210,124,440,998,480,627,304,178,101,451,
699,621,998,349,241,877,700,839,720,817,224,814,993,112,661,704,682,284,961,
094,765,667,139,386,037,369,024,827,784,692,491,914,601,766,045,120,983,271,
813,103,107,867,489,628,676,602,919,556,475,279,123,922,878,058,390,054,695,
059,067,750,847,038,313,991,006,327,171,233,360,666,511,607,438,609,616,101,
854,942,603,616,886,648,900,699,446,834,199,677,634,548,034,777,118,266,911,
465,013,664,851,206,116,114,745,233,156,464,535,834,744,430,463,684,363,442,
087,488,911,304,350,596,161,110,153,609,464,533,077,067,936,074,563,929,043,
177,122,545,512,195,432,102,167,578,898,135,556,217,380,141,747,011,999,405,
738,126,071,456,999,427,930,104,085,666,397,656,290,243,637,291,120,028,675,
690,031,676,202,976,785,729,378,307,138,789,882,373,267,478,041,443,490,722,
852,295,533,528,379,258,087,612,855,000,216,413,133,258,122,452,175,131,507,
052,251,486,267,293,344,172,175,358,254,485,687,217,561,449,127,174,073,241,
474,002,207,381,515,290,687,723,931,201,011,392,623,405,733,556,821,075,928,
561,547,251,780,731,363,140,658,392,482,962,044,167,744,075,340,130,464,070,
869,129,354,168,628,620,646,478,423,417,134,716,511,168,744,613,434,671,166,
279,953,178,909,881,856,014,406,568,224,835,121,379,379,178,203,526,438,042,
825,560,459,490,718,259,139,013,150,408,682,881,376,544,418,455,713,424,551,
451,300,302,940,992,949,492,981,342,415,125,779,129,329,074,885,916,692,588,
524,129,756,681,982,676,893,698,737,119,393,183,663,714,120,878,442,363,196,
747,578,515,711,294,502,123,962,651,484,379,830,702,108,900,318,017,737,791,
096,843,921,136,546,336,024,832,602,306,875,057,615,731,589,448,256,050,148,
016,380,667,194,796,781,791,990,305,642,261,234,762,063,467,495,510,306,806,
009,361,366,178,148,112,480,945,594,533,413,572,895,012,109,400,548,259,299,
917,711,931,789,070,817,144,313,507,337,012,471,490,736,215,504,565,910,346,
723,840,690,309,665,795,527,277,407,693,623,695,314,200,565,120,862,592,241,
603,489,864,254,581,508,131,271,099,574,798,175,784,799,657,488,552,026,557,
868,939,755,179,851,104,363,983,693,577,340,828,306,753,882,764,496,385,844,
112,561,141,822,098,565,664,297,616,773,937,159,433,027,606,113,469,936,245,
710,745,397,113,054,612,589,234,733,962,717,500,377,656,426,211,817,275,901,
675,568,938,077,884,780,526,028,823,657,203,758,683,760,830,479,109,148,784,
042,392,033,081,942,117,629,106,246,544,702,390,847,018,835,284,845,612,187,
405,148,901,802,027,758,655,685,802,110,872,402,701,018,850,693,465,602,885,
363,545,477,053,523,746,164,646,398,341,285,301,703,598,674,052,791,556,649,
838,100,288,455,290,502,475,764,417,513,490,141,210,039,133,900,966,453,590,
237,564,923,683,297,984,217,061,246,095,373,407,083,726,407,148,555,122,604,
453,325,026,511,758,810,818,133,742,981,816,999,927,465,715,688,271,355,887,
540,514,737,362,464,832,477,811,159,368,085,296,280,698,148,421,049,112,087,
653,405,495,594,999,381,732,954,663,817,024,216,021,943,058,080,384,573,341,
725,257,360,526,115,745,859,424,993,725,109,807,057,587,784,395,382,880,788,
851,044,420,128,651,363,549,020,998,650,699,359,986,722,382,852,159,698,927,
816,289,030,780,862,688,820,838,262,407,974,922,654,124,029,413,058,411,826,
106,859,167,431,526,963,686,933,103,222,284,082,894,616,291,526,760,628,000,
055,973,461,063,182,992,830,659,980,268,976,754,094,491,125,667,496,193,723,
679,684,282,119,242,971,882,895,508,409,242,846,904,039,167,711,278,368,283,
857,806,537,852,776,382,279,261,445,191,372,566,843,593,954,734,921,783,307,
590,992,528,091,215,428,781,504,800,552,659,889,087,725,130,464,424,781,743,
759,646,450,021,049,676,734,018,221,204,316,418,085,295,283,546,680,627,398,
165,764,419,816,150,509,592,117,026,842,653,380,447,926,770,856,342,203,566,
228,360,245,574,680,191,492,842,822,421,498,744,314,600,329,718,078,455,191,
353,475,932,303,040,669,752,439,125,390,454,360,491,118,433,893,599,727,399,
259,695,352,627,224,161,206,346,235,404,237,010,344,340,339,253,210,128,501,
586,242,725,280,440,301,497,744,110,244,515,987,355,169,972,239,651,457,151,
432,126,105,527,675,172,789,483,706,602,744,379,037,578,338,322,769,646,941,
564,085,994,797,298,538,704,167,519,186,162,944,801,956,885,488,609,983,939,
175,689,397,928,553,952,622,992,392,314,394,163,539,816,590,875,488,149,942,
414,257,675,483,083,836,834,618,621,657,539,947,106,558,184,233,284,022,790,
494,530,971,549,693,814,202,982,956,042,088,429,266,829,033,685,627,833,330,
168,540,492,108,211,542,189,897,596,876,787,913,500,762,289,545,044,608,484,
409,951,657,106,493,417,540,783,138,055,682,769,777,250,726,442,120,339,739,
543,391,701,561,508,680,111,715,929,282,115,300,603,636,883,572,852,792,275,
066,955,714,208,264,188,190,217,535,953,018,019,868,237,204,430,514,219,385,
031,995,807,673,058,013,551,361,551,895,259,717,044,215,339,130,780,067,748,
873,668,316,531,038,406,435,566,059,233,906,854,361,483,679,158,274,436,457,
493,981,069,281,111,437,296,076,807,557,080,709,206,868,461,844,408,259,236,
002,127,355,545,596,724,523,019,732,487,712,474,092,362,967,025,430,745,056,
521,110,816,786,591,826,991,437,711,715,645,901,219,389,569,891,983,376,252,
518,823,148,111,570,568,014,572,826,944,889,068,322,987,010,780,016,771,181,
077,369,718,777,576,193,890,162,856,031,353,803,729,353,396,527,672,933,302,
915,489,191,045,794,435,335,518,907,478,114,652,909,010,087,504,473,395,973,
737,617,130,116,951,946,830,208,469,850,773,901,959,728,561,239,290,532,058,
587,238,215,752,394,487,809,068,303,395,973,105,455,053,360,277,419,385,317,
679,795,066,606,963,177,924,977,677,834,197,079,487,458,765,114,415,415,955,
772,222,523,531,888,329,409,686,443,448,921,538,452,294,737,580,887,026,029,
746,690,999,856,590,903,554,616,976,043,089,617,266,176,718,611,585,635,000,
749,692,915,388,363,197,775,268,434,519,166,262,839,956,242,842,302,581,247,
142,669,669,380,727,790,874,766,411,259,738,888,815,827,051,863,163,912,028,
840,737,210,418,760,802,340,890,462,060,156,249,663,381,539,391,455,239,262,
444,241,759,234,797,342,349,384,453,925,380,275,665,838,116,626,802,596,638,
315,339,220,986,247,181,000,288,032,532,359,197,952,747,918,214,541,352,484,
732,266,079,304,676,785,420,604,574,976,923,223,347,296,925,466,191,116,406,
300,157,551,713,341,352,728,988,434,747,931,893,855,576,011,199,950,433,943,
649,279,145,226,404,788,597,550,768,298,992,234,475,471,162,060,206,692,326,
864,135,935,272,267,175,648,355,579,236,321,290,804,517,851,493,259,277,842,
740,448,165,559,680,817,703,176,454,445,800,995,811,892,452,453,351,578,417,
302,442,734,215,713,981,790,775,970,895,071,881,072,943,525,333,177,750,839,
292,991,287,752,412,623,341,945,883,804,028,416,244,451,406,767,873,116,771,
707,179,448,488,415,111,026,574,342,876,477,462,572,884,073,531,789,690,493,
082,675,153,952,105,970,414,164,896,063,847,247,841,129,427,498,384,774,144,
425,247,884,322,530,475,000,036,411,350,967,643,356,413,677,698,739,639,060,
928,454,286,143,550,665,122,082,579,381,629,052,774,432,246,764,293,269,502,
644,690,766,822,954,940,406,757,391,773,208,995,565,523,667,033,635,562,651,
324,530,965,461,137,541,217,807,055,633,281,089,694,113,890,616,911,561,955,
492,613,422,306,334,559,617,377,994,903,527,768,297,432,842,853,383,084,969,
470,759,355,685,568,419,031,101,381,071,727,421,518,508,895,779,984,725,516,
730,586,330,153,265,122,101,530,706,515,624,704,294,577,153,665,495,588,442,
790,712,041,766,241,421,757,883,893,235,979,918,040,742,639,367,104,697,933,
061,323,487,651,597,766,705,215,903,945,127,596,829,265,749,439,251,712,162,
324,755,296,737,841,013,394,533,052,301,890,451,697,228,791,119,787,926,894,
547,933,878,376,900,911,998,182,997,004,891,771,165,391,766,455,712,607,314,
778,423,333,761,109,111,418,315,816,806,643,206,924,065,243,114,289,887,879,
854,288,982,295,431,881,575,843,681,493,171,996,696,474,759,884,139,939,390,
383,100,180,309,571,260,582,444,005,220,408,303,414,175,326,516,540,222,791,
139,202,504,683,003,531,072,092,388,262,762,687,176,487,216,983,158,564,968,
150,277,840,824,209,563,308,624,183,184,943,783,156,537,812,288,318,462,846,
362,510,852,094,015,113,985,364,434,270,080,340,146,882,251,965,813,108,962,
970,429,040,446,915,740,179,640,466,508,184,454,999,233,649,488,176,277,653,
901,278,789,707,626,233,326,248,757,994,290,070,803,731,033,482,974,263,878,
890,594,778,933,618,215,470,826,771,545,275,397,884,421,369,748,524,116,912,
733,980,631,525,563,597,108,025,333,113,969,853,786,685,607,739,492,684,376,
099,783,634,326,596,386,121,746,362,133,067,347,042,244,694,401,455,765,327,
093,567,976,739,003,076,385,863,122,111,088,999,142,497,574,908,521,509,817,
334,242,619,554,180,387,593,512,903,522,593,306,434,652,438,987,798,275,397,
120,288,324,372,342,924,448,124,309,160,141,388,770,433,066,134,508,190,612,
341,333,882,812,249,075,176,527,133,166,538,963,682,243,694,028,213,228,588,
350,005,983,534,081,047,188,768,097,723,816,293,167,066,527,985,923,668,375,
157,632,414,319,438,380,601,720,819,847,018,357,238,821,636,697,069,463,557,
485,404,689,902,669,125,856,595,228,509,365,714,812,696,860,995,541,935,422,
331,875,930,820,192,489,312,541,663,087,667,078,082,485,594,692,736,932,544,
766,594,541,900,191,967,898,853,999,579,668,112,022,143,065,476,980,864,429,
655,883,033,250,777,691,567,411,942,173,119,230,212,751,698,982,713,155,352,
775,739,575,628,213,909,588,006,310,694,015,708,347,996,196,814,884,775,383,
516,166,512,104,585,380,518,913,142,084,872,800,585,375,617,613,134,721,771,
275,525,097,887,586,906,679,434,538,684,922,044,032,404,441,726,565,102,400,
817,680,163,072,200,111,637,941,631,530,227,119,928,814,411,325,980,069,549,
977,688,938,306,554,711,423,972,236,150,251,005,328,293,516,231,761,300,857,
026,904,154,951,488,840,648,551,635,509,613,930,041,168,453,867,443,993,941,
317,345,161,807,012,489,145,599,892,201,191,804,968,926,699,494,159,131,040,
832,716,543,480,826,542,065,870,794,688,054,783,596,519,976,243,713,242,510,
781,434,795,184,349,895,826,461,299,409,417,261,338,255,610,583,477,089,398,
509,453,015,433,431,473,504,066,484,646,983,901,709,523,903,467,197,668,320,
634,337,349,541,798,213,431,099,950,502,752,178,602,741,421,780,024,478,401,
460,142,150,617,151,005,308,738,165,084,989,503,874,761,683,944,290,097,892,
410,368,573,428,539,309,602,148,924,951,999,812,752,494,241,300,259,318,743,
119,748,567,135,534,157,466,577,010,646,026,357,383,903,319,700,166,220,716,
606,172,346,913,854,739,283,596,299,533,542,276,226,175,483,021,856,822,899,
548,780,567,861,577,051,375,351,648,051,303,926,417,336,202,438,165,127,756,
888,870,721,667,113,098,582,955,714,000,569,323,856,689,063,764,393,358,537,
193,090,691,788,817,484,606,635,465,346,315,294,773,338,203,199,114,469,352,
101,415,446,195,300,627,798,729,066,926,146,925,223,401,395,998,640,728,332,
769,278,660,975,238,146,407,012,505,562,619,277,578,103,854,201,772,252,928,
574,717,847,863,287,398,204,231,616,505,854,699,377,988,470,805,126,184,505,
921,624,515,172,401,831,405,483,961,977,869,160,940,488,191,360,491,911,180,
742,026,654,591,884,899,759,755,325,775,428,943,762,516,429,623,092,754,248,
608,134,092,549,783,618,370,430,588,956,968,861,015,482,621,722,239,189,989,
389,927,575,386,427,002,640,858,126,160,603,959,788,766,862,173,658,048,336,
216,775,348,310,945,698,369,407,660,221,286,770,843,650,461,804,137,775,784,
352,143,241,210,331,982,949,659,556,574,639,091,150,361,844,068,145,330,379,
555,884,504,296,800,480,895,847,182,328,481,272,204,969,943,938,668,824,660,
831,002,406,922,048,866,943,847,679,805,487,373,650,471,248,058,123,749,861,
148,299,268,530,856,147,808,328,172,493,403,458,518,125,346,159,656,013,065,
810,865,420,848,635,319,663,489,450,564,582,810,288,394,523,038,227,742,049,
997,220,647,845,706,425,669,020,445,226,150,464,140,282,053,399,197,984,821,
462,463,877,166,288,751,823,420,262,377,773,949,770,655,100,214,385,848,262,
175,574,787,055,443,195,453,504,060,715,281,913,037,094,267,819,155,921,566,
020,040,782,750,720,982,409,691,773,497,772,409,649,865,559,422,242,165,502,
334,591,901,581,920,585,980,015,070,812,094,818,111,577,798,968,622,142,750,
584,228,550,498,753,568,032,964,652,844,550,165,832,149,796,029,565,802,278,
460,044,969,754,914,698,114,625,337,961,661,900,334,651,783,409,836,504,351,
715,804,964,305,549,592,304,627,723,247,166,483,281,285,181,818,950,055,165,
905,562,907,617,685,159,428,467,603,579,993,692,389,326,747,157,393,708,116,
012,657,235,808,247,234,711,348,054,507,195,712,617,330,317,466,552,382,616,
911,489,276,010,848,658,800,546,136,054,900,197,357,336,876,833,250,773,223,
438,246,621,925,219,517,194,720,894,114,535,123,405,023,108,617,094,595,535,
051,856,915,297,843,038,269,086,201,323,140,097,022,061,647,177,214,545,704,
737,760,972,452,566,063,993,002,833,140,285,849,470,032,979,534,347,974,567,
537,232,574,856,500,328,217,922,027,983,319,476,239,935,115,792,691,186,125,
984,180,447,863,748,719,783,469,124,698,673,914,012,081,671,741,775,023,531,
405,945,162,152,445,180,905,844,665,672,629,573,185,719,057,623,148,685,779,
253,953,337,641,702,822,694,202,260,899,874,807,506,953,191,361,176,853,313,
129,872,279,927,311,782,677,003,999,459,124,875,904,949,318,107,267,542,795,
193,372,005,643,324,713,434,973,988,043,173,171,809,053,903,562,065,009,127,
278,315,298,918,455,103,077,932,992,112,810,213,154,447,619,443,428,176,500,
812,687,494,027,718,004,329,579,841,906,947,909,594,476,629,436,366,164,715,
807,275,321,186,261,601,567,469,503,443,773,500,342,651,876,476,023,613,000,
397,052,189,361,835,016,502,603,509,663,284,710,364,344,726,750,667,158,285,
765,727,341,763,487,167,503,300,338,332,893,797,494,732,143,391,199,911,356,
968,554,839,481,120,606,319,582,732,757,227,470,063,555,900,886,049,157,063,
558,679,549,958,738,341,876,567,135,982,204,715,200,738,433,842,711,331,688,
959,349,330,409,495,110,139,103,516,323,154,818,109,223,812,029,145,064,193,
467,994,581,695,049,211,940,537,018,568,853,091,322,887,655,648,495,273,971,
787,585,116,435,442,562,310,986,480,748,043,319,282,766,468,265,854,592,834,
993,877,672,524,864,522,326,749,150,487,518,332,356,992,031,364,100,752,285,
060,162,305,676,945,080,083,634,726,571,423,576,796,011,598,748,660,527,483,
986,197,675,943,467,406,628,379,226,867,090,994,451,109,541,657,661,439,589,
979,808,425,845,476,863,135,610,712,141,554,877,837,372,916,058,661,782,681,
540,270,146,761,898,465,353,323,091,157,459,026,052,882,684,378,887,751,337,
822,964,028,747,914,363,660,827,436,688,063,379,622,437,808,580,765,775,651,
207,591,044,649,835,507,779,820,046,059,055,878,871,339,905,384,168,180,108,
753,186,280,354,331,083,561,351,411,047,192,369,023,743,356,926,386,128,917,
049,277,609,134,687,585,609,842,804,695,424,972,692,566,898,094,391,075,170,
165,357,006,606,178,020,075,923,321,173,800,387,609,906,884,909,406,118,359,
670,982,963,494,876,992,973,076,713,133,244,330,105,048,374,747,734,137,681,
175,678,624,380,364,053,337,073,068,772,649,280,675,145,270,089,591,961,548,
694,332,987,942,511,689,191,615,464,970,126,900,298,345,405,502,967,217,629,
596,042,695,682,493,448,927,482,925,211,542,117,592,174,349,643,783,418,717,
550,513,235,942,360,356,721,714,262,854,312,910,525,935,632,032,317,471,873,
008,937,483,971,952,293,076,369,336,456,427,780,638,312,305,225,514,669,826,
458,963,103,068,691,249,160,874,949,118,108,875,401,683,216,818,676,406,836,
166,788,599,279,804,506,662,708,555,372,963,038,897,596,995,144,910,153,461,
400,796,860,929,518,847,437,759,158,736,143,599,291,769,552,031,575,110,849,
615,373,211,175,041,837,185,559,560,146,623,659,794,162,305,014,136,752,948,
935,634,394,555,837,151,763,823,239,576,147,345,642,543,329,189,309,444,820,
854,022,339,445,874,518,535,713,418,664,143,221,174,610,633,056,360,324,343,
016,726,538,330,293,634,840,915,571,039,703,645,116,987,071,288,613,517,614,
685,756,052,294,905,523,242,969,294,590,654,057,204,911,405,189,483,453,282,
142,247,919,254,504,981,932,865,133,156,394,489,603,410,573,557,136,970,686,
299,852,304,459,571,178,306,854,312,480,202,637,774,052,227,300,599,198,253,
658,919,223,005,652,987,247,898,879,987,287,536,363,431,841,701,442,545,507,
312,100,888,814,299,662,867,343,626,498,860,415,638,338,051,177,508,849,167,
719,340,426,801,134,005,087,876,619,289,548,675,548,933,348,720,955,172,684,
706,043,233,585,724,881,334,199,970,900,437,349,663,181,074,318,668,010,772,
889,391,010,906,621,746,904,188,364,604,654,114,318,630,768,782,612,461,420,
289,240,378,956,423,686,227,835,440,620,714,694,870,182,477,198,933,739,116,
807,211,457,455,637,000,515,430,034,905,864,058,934,059,564,553,285,864,295,
428,154,518,404,623,561,878,323,795,810,615,693,613,784,830,784,464,543,795,
379,116,349,891,812,737,282,571,764,896,327,965,499,342,486,253,726,208,300,
887,570,588,735,279,933,601,263,490,444,933,952,395,823,887,449,455,098,657,
644,781,342,881,810,406,596,578,517,795,337,678,401,324,562,961,712,753,474,
305,868,424,005,532,333,029,475,998,182,370,053,128,928,398,769,344,276,780,
090,710,375,836,110,809,934,051,693,965,259,064,144,680,888,056,350,903,862,
527,217,080,956,126,665,902,721,057,317,472,744,016,704,574,662,964,589,701,
847,266,557,334,380,035,247,618,716,515,626,772,029,964,538,102,723,644,614,
971,960,598,016,586,377,474,859,990,418,592,549,243,119,552,714,993,439,077,
454,632,823,017,291,889,167,274,011,825,466,267,449,963,335,033,446,420,004,
770,232,153,503,640,500,094,852,381,996,196,227,302,985,741,087,114,204,284,
824,839,114,798,614,175,596,676,468,657,457,384,549,697,471,502,103,289,836,
639,168,728,222,413,401,087,317,135,855,868,374,652,579,018,561,799,500,222,
603,078,265,858,354,994,882,168,849,158,718,392,491,778,449,788,629,797,604,
553,306,289,910,030,112,264,516,038,976,882,098,473,099,872,413,296,533,004,
203,139,958,037,890,706,631,694,370,283,022,332,791,370,410,486,284,688,713,
438,917,892,617,761,192,988,880,531,683,302,954,405,811,479,926,373,654,404,
975,577,338,988,202,534,888,983,037,496,572,693,509,000,863,520,955,124,375,
453,421,974,818,456,863,637,541,482,507,941,566,194,445,433,759,499,538,011,
588,748,155,281,315,490,076,929,745,206,429,447,537,431,289,142,301,848,240,
762,225,420,373,854,414,256,860,999,180,401,562,970,352,647,548,248,767,680,
727,223,080,238,583,322,424,059,086,150,653,439,196,611,002,928,346,051,723,
909,067,237,359,270,362,585,156,104,232,507,578,950,089,447,865,788,192,276,
054,727,355,678,926,477,647,944,791,746,623,257,190,558,366,022,129,189,253,
462,047,667,780,787,253,495,688,748,175,684,904,157,597,763,272,523,802,798,
528,473,037,825,624,538,248,553,477,127,456,062,772,219,190,795,342,823,223,
170,423,544,913,903,667,269,798,212,196,287,068,027,191,203,207,782,604,837,
931,324,424,910,449,221,751,608,447,051,595,868,499,213,727,068,921,448,394,
370,206,080,682,093,316,560,337,932,172,212,796,108,641,558,305,937,007,725,
667,015,036,942,292,382,917,870,406,408,859,522,303,544,941,718,796,891,287,
633,653,172,778,515,748,314,576,503,930,138,063,761,272,485,675,158,817,038,
201,542,840,994,053,656,522,210,228,815,779,624,045,340,570,789,733,670,053,
424,200,847,541,886,341,126,540,345,539,411,921,697,265,344,012,432,538,226,
726,832,045,315,648,458,885,397,048,496,921,080,129,993,604,724,570,328,494,
658,583,085,478,616,744,662,375,464,357,461,794,953,303,212,706,982,224,691,
865,455,077,476,341,767,251,603,610,423,229,257,025,389,881,266,777,261,306,
053,236,050,054,347,154,159,671,472,506,102,179,883,572,252,574,485,925,593,
696,830,782,170,731,677,473,144,278,223,366,918,214,236,772,080,403,273,826,
687,419,083,982,981,548,888,862,322,403,211,273,935,537,780,168,884,693,278,
554,044,601,562,284,205,801,224,365,119,425,713,767,845,431,329,733,017,330,
716,857,432,811,199,300,346,396,531,446,746,926,631,089,437,347,713,814,771,
587,328,784,198,686,151,760,819,615,807,549,872,058,531,696,080,265,395,379,
088,035,450,314,433,609,256,202,114,333,300,122,968,511,287,187,569,210,681,
620,974,076,169,240,604,135,234,918,138,066,376,809,127,489,068,285,899,377,
594,083,121,133,226,183,762,943,449,077,674,043,644,880,853,627,284,555,848,
368,593,741,386,739,855,675,579,177,036,079,342,172,440,348,086,154,405,777,
252,391,458,666,595,282,617,451,440,230,375,830,808,086,129,047,820,451,510,
127,470,093,992,283,313,345,418,202,750,661,297,277,051,879,294,226,296,977,
987,132,786,332,159,868,091,434,175,709,669,433,939,694,241,388,315,501,446,
107,173,930,323,419,897,090,307,197,384,469,847,054,663,766,670,457,646,772,
659,006,322,436,107,290,295,423,878,135,739,300,288,013,765,978,053,854,723,
810,275,038,281,344,121,939,112,408,060,264,068,715,754,837,101,548,858,721,
621,104,221,668,260,428,931,350,896,788,662,874,524,626,425,542,150,852,838,
004,519,048,371,454,810,282,545,661,170,603,162,419,426,517,852,712,719,011,
213,619,049,253,629,288,584,518,067,679,441,103,877,075,666,217,035,600,121,
328,357,935,955,989,780,923,068,115,372,816,961,048,867,875,182,521,943,979,
562,644,166,315,679,697,546,417,412,870,069,323,191,720,031,697,685,755,423,
576,621,189,158,749,206,496,462,057,643,471,234,666,838,435,495,723,205,755,
439,286,609,618,600,214,529,566,372,596,392,467,603,265,317,083,518,433,347,
890,933,350,005,052,635,084,183,579,193,347,334,474,331,206,105,727,490,264,
391,765,066,463,331,974,649,877,732,027,986,782,988,995,591,259,430,687,363,
584,211,964,298,080,362,838,960,426,432,654,158,682,193,380,217,044,353,098,
847,086,815,577,746,299,237,325,893,859,229,618,162,942,270,862,369,796,338,
806,644,168,532,895,359,633,520,617,749,505,290,806,829,583,279,052,076,471,
369,932,475,788,459,214,635,459,899,439,973,894,527,094,694,099,950,904,728,
475,621,638,380,995,669,207,965,410,602,646,244,658,072,614,964,711,948,462,
645,589,144,194,574,021,937,894,271,172,641,180,201,171,038,704,650,737,863,
964,268,585,062,982,975,622,888,900,003,089,797,416,641,867,998,192,185,121,
685,587,173,324,987,601,143,803,384,338,726,790,950,702,986,042,421,089,719,
073,015,779,596,510,567,130,781,615,733,325,039,339,183,562,527,680,726,701,
060,870,298,379,279,865,413,099,363,704,143,749,885,082,870,496,566,769,385,
397,232,039,897,710,638,789,772,331,086,846,435,364,623,021,913,000,107,675,
973,636,970,879,179,191,836,791,811,419,182,739,555,923,089,523,092,653,591,
662,246,153,765,702,448,078,042,188,374,418,404,536,495,326,056,674,938,382,
182,147,501,120,006,872,815,859,390,736,206,587,648,617,938,713,610,539,976,
709,733,674,887,480,321,731,481,363,254,060,816,150,229,775,815,377,098,227,
159,779,726,714,452,704,184,475,805,369,981,066,660,325,089,355,352,616,274,
137,792,130,867,580,811,601,236,102,373,962,234,129,814,639,520,515,926,842,
609,506,557,595,493,139,739,155,333,422,600,963,521,674,399,543,511,821,074,
602,626,585,685,001,044,477,722,330,319,501,757,957,545,131,090,050,150,385,
199,667,936,944,878,081,948,112,128,146,125,376,538,063,626,226,595,472,837,
239,156,170,673,849,491,602,462,062,025,635,738,383,473,220,350,898,981,235,
756,682,171,818,165,614,827,697,416,916,332,639,607,157,728,510,552,035,945,
000,892,219,756,261,213,326,535,644,948,701,985,414,022,870,360,466,731,752,
021,126,122,081,188,261,833,935,284,119,545,203,532,875,029,939,896,002,652,
232,686,822,924,929,270,031,234,305,454,350,894,307,391,195,706,898,980,633,
812,575,090,713,177,417,585,451,046,217,064,318,080,427,030,764,885,877,365,
723,967,408,614,383,445,880,094,954,838,651,013,372,928,798,125,047,126,505,
435,430,684,253,460,309,934,120,587,809,592,981,977,586,927,954,722,299,648,
370,477,090,520,623,777,832,377,824,982,405,377,772,789,654,748,542,220,551,
258,766,085,807,473,072,344,588,173,231,542,115,144,118,799,855,417,640,917,
995,333,500,032,513,135,757,431,805,486,895,135,947,447,065,706,282,228,288,
488,816,043,590,842,219,560,396,637,862,689,648,494,582,782,144,720,858,852,
805,370,889,738,848,310,109,797,323,307,574,561,913,962,320,671,291,726,577,
061,440,900,340,858,541,559,207,459,186,774,738,140,926,872,553,500,555,958,
156,228,665,521,644,123,336,558,198,851,806,984,370,264,672,598,966,395,866,
457,899,245,144,517,130,593,158,656,032,327,221,404,580,578,383,344,004,551,
194,799,824,493,492,869,092,532,108,841,888,164,610,650,332,905,563,950,994,
898,047,288,957,665,191,188,016,711,663,076,559,284,120,203,089,201,204,769,
014,491,714,582,036,240,821,413,864,386,181,482,369,182,260,500,162,900,737,
435,890,669,041,439,580,514,433,358,593,591,222,928,530,140,422,411,549,880,
437,220,075,390,561,139,035,558,244,640,035,359,851,456,436,630,451,861,783,
803,704,162,247,437,248,230,975,797,721,222,649,405,352,840,656,324,251,222,
841,199,216,358,803,165,802,716,381,587,332,949,683,022,564,208,397,358,219,
652,193,106,811,768,005,106,103,659,594,551,876,246,206,741,315,440,617,710,
381,329,406,485,677,384,189,830,688,259,238,061,465,616,476,886,499,945,081,
640,619,173,570,104,970,706,975,035,014,740,847,683,143,625,793,770,344,184,
829,958,587,078,221,383,728,370,859,506,792,476,863,839,293,225,753,008,000,
139,721,345,788,610,146,195,526,569,307,802,931,420,575,056,663,118,659,588,
643,432,553,037,811,478,214,394,400,878,445,760,473,498,350,058,143,424,151,
091,875,045,095,772,485,430,040,781,180,028,344,724,109,863,852,472,616,145,
909,343,356,240,141,679,456,052,306,923,027,276,801,225,644,489,301,406,679,
592,633,913,872,663,223,269,401,080,497,858,127,805,082,858,520,336,304,551,
882,411,459,202,193,957,383,139,939,370,259,803,058,131,511,083,836,596,867,
353,803,667,759,576,090,727,671,182,102,459,193,577,168,274,856,903,525,986,
113,622,234,507,227,247,621,061,936,703,503,741,397,598,857,796,844,539,690,
513,172,265,424,078,533,827,372,113,537,267,150,382,258,811,944,276,892,148,
229,949,792,721,948,039,931,793,385,341,043,233,908,870,151,054,284,920,056,
596,814,548,782,769,838,858,224,186,941,193,862,965,147,764,652,071,119,345,
834,475,512,801,555,686,796,780,870,701,303,574,149,795,520,483,549,072,762,
920,038,495,731,271,835,450,917,311,639,770,756,123,382,211,961,233,512,908,
417,751,955,844,653,919,646,430,439,676,971,435,766,641,294,184,767,158,978,
853,710,718,568,460,946,080,062,030,799,470,187,829,525,896,706,064,766,395,
299,441,121,587,296,986,623,397,152,465,054,493,416,192,494,431,965,934,960,
733,114,756,447,348,642,234,502,394,390,833,968,062,871,371,275,165,526,545,
444,407,352,888,470,198,612,333,650,991,101,945,245,928,743,941,046,758,215,
853,441,348,337,293,668,436,502,700,440,986,055,192,089,469,045,445,365,701,
633,682,723,095,365,229,778,885,432,836,082,112,522,664,316,588,469,677,508,
203,893,855,175,416,632,191,274,321,599,134,833,317,523,063,220,593,578,997,
879,747,590,534,647,011,157,615,551,147,941,232,469,757,951,312,774,819,147,
995,251,872,945,184,064,079,473,704,785,771,453,701,515,113,945,725,857,953,
801,404,816,559,715,965,508,828,807,237,043,452,896,264,932,744,435,467,328,
874,815,716,154,973,127,370,735,628,936,798,073,356,387,702,773,042,581,089,
342,178,066,781,156,500,563,500,996,419,393,456,884,311,924,094,463,246,593,
240,089,720,705,039,129,803,083,735,321,591,833,034,246,928,470,034,264,854,
509,149,720,105,822,357,478,225,397,514,853,848,716,944,839,021,577,443,578,
071,021,426,562,173,700,477,339,307,822,573,980,931,041,101,732,615,525,955,
322,087,881,913,646,299,835,232,248,275,390,817,116,466,326,981,048,494,649,
163,978,589,559,420,143,250,171,889,383,915,586,340,865,256,063,892,856,941,
471,992,564,818,575,968,573,987,836,986,269,384,280,858,796,726,767,741,025,
497,752,033,193,581,593,855,874,327,275,690,702,191,780,937,455,246,927,772,
723,719,040,820,264,475,538,272,039,832,231,616,402,107,951,016,491,793,151,
558,984,118,220,574,052,202,613,193,991,318,128,601,887,656,583,080,900,832,
518,772,069,289,832,160,064,354,325,792,440,740,724,597,446,241,289,840,496,
549,818,271,997,634,254,160,799,155,547,190,443,796,619,648,404,902,374,898,
557,543,047,836,382,598,157,532,365,295,870,288,680,022,772,497,799,328,340,
574,579,293,759,574,950,576,302,633,601,125,036,812,786,273,127,625,986,848,
656,494,347,428,074,075,316,071,639,353,513,430,980,572,572,124,186,386,922,
114,081,404,755,467,228,551,122,846,346,385,780,522,708,070,600,037,681,604,
862,274,433,617,009,076,044,996,545,465,774,058,219,433,849,056,773,669,448,
499,009,897,729,805,091,858,227,798,442,895,764,142,513,245,302,360,829,384,
448,837,565,116,646,319,857,983,221,970,888,759,298,133,160,352,113,389,325,
824,603,709,923,914,911,972,189,683,493,958,008,606,633,591,667,508,765,698,
429,281,024,445,071,298,283,061,915,417,894,981,385,320,163,017,096,453,652,
643,581,100,188,177,997,862,258,848,831,972,081,248,153,735,294,771,711,800,
709,957,389,233,901,939,222,977,421,781,378,389,617,596,080,622,080,115,843,
805,513,567,774,698,510,897,590,293,656,466,443,426,192,223,158,614,132,951,
468,399,397,689,899,077,331,548,734,798,116,363,310,614,895,126,251,549,935,
530,329,906,863,120,475,636,944,764,108,124,752,414,069,556,722,723,846,907,
563,768,920,836,364,295,994,997,960,347,321,510,393,158,457,182,575,540,831,
760,652,199,230,020,828,836,335,359,667,609,488,870,929,220,168,639,261,299,
016,565,895,464,572,038,799,940,964,247,545,914,718,217,101,726,181,086,115,
828,632,358,590,824,437,395,800,474,946,635,588,343,414,651,130,637,270,940,
659,773,734,331,360,705,432,103,373,466,794,264,810,759,940,449,808,363,555,
544,502,417,092,538,653,987,042,046,349,493,392,635,273,721,301,837,257,466,
125,821,138,423,941,864,864,490,595,240,314,097,260,075,829,959,784,802,616,
017,950,421,254,167,799,413,846,013,204,919,054,490,526,902,451,574,496,834,
779,769,052,281,353,311,699,746,306,579,580,234,486,326,966,505,332,011,065,
778,975,115,744,947,316,417,132,029,003,462,458,237,379,139,986,930,990,438,
535,355,534,933,261,158,962,461,134,007,830,901,588,502,181,696,901,089,137,
243,322,679,334,831,901,587,080,360,375,591,694,264,049,019,925,027,652,366,
077,246,229,782,530,907,146,830,170,214,262,967,574,742,390,567,425,978,707,
230,551,908,356,737,065,903,646,346,753,750,079,583,520,769,919,564,958,763,
175,296,997,812,053,470,607,104,497,976,708,348,596,100,549,534,383,772,166,
796,208,682,109,854,499,523,778,620,622,116,583,915,678,490,411,848,362,377,
443,850,538,469,891,657,099,133,060,139,785,258,794,785,670,992,139,111,307,
864,207,319,868,840,923,768,355,021,849,691,708,439,661,414,171,271,571,672,
929,590,514,114,554,274,280,241,721,343,526,821,334,419,233,562,421,999,391,
275,292,101,195,945,928,303,963,190,833,007,068,380,445,849,312,758,096,511,
209,966,124,171,301,828,569,141,343,886,424,557,471,524,958,612,846,034,706,
909,186,567,844,656,898,825,808,391,032,643,193,979,175,403,337,018,641,696,
040,438,996,823,929,442,412,675,057,403,384,175,668,854,725,666,934,108,744,
425,871,696,716,628,528,461,463,173,822,857,348,151,162,878,060,416,808,272,
733,394,960,698,025,460,309,099,805,720,427,649,570,014,854,507,845,889,424,
775,077,939,616,516,164,119,486,728,356,099,145,138,170,369,184,523,502,801,
462,450,263,282,236,604,442,739,548,999,494,698,226,670,290,865,077,801,584,
306,229,637,099,253,644,632,843,450,916,397,180,418,546,292,575,189,557,445,
944,176,757,220,157,742,669,279,397,376,450,379,420,644,394,560,479,486,361,
576,689,256,431,639,895,749,952,682,642,526,571,525,696,708,331,995,639,293,
156,684,828,138,432,939,187,202,466,154,930,959,793,438,430,816,424,876,155,
820,199,133,372,421,646,188,924,532,160,732,123,155,349,794,343,412,244,952,
323,253,150,559,011,284,123,096,710,780,867,392,210,977,544,271,259,094,035,
885,733,673,961,639,464,263,952,718,026,425,873,395,204,221,865,830,696,632,
792,136,296,272,414,174,087,970,306,821,259,403,929,890,538,514,973,634,379,
768,904,248,289,396,651,066,443,937,491,143,882,830,781,165,527,178,418,973,
472,212,024,018,989,543,100,932,606,925,944,714,532,567,745,786,280,836,229,
573,688,665,118,625,414,673,810,146,431,467,615,203,833,860,022,752,179,277,
669,605,425,689,909,815,363,584,644,247,607,373,739,014,754,513,833,325,404,
992,681,857,379,853,205,752,569,284,783,451,343,598,361,628,178,415,801,757,
378,569,825,462,126,841,365,623,619,817,654,542,037,565,269,427,486,611,006,
403,527,633,161,473,075,530,423,095,951,316,057,710,689,441,377,429,828,344,
679,781,613,130,409,325,464,801,171,647,328,467,549,762,935,918,648,799,453,
415,053,547,647,993,090,451,750,398,126,425,631,340,202,066,485,560,627,683,
300,606,674,215,546,339,439,288,264,818,193,328,785,930,907,875,641,990,742,
943,092,048,419,948,414,551,308,616,757,625,512,443,013,768,897,283,880,328,
217,364,051,044,013,714,841,005,580,119,952,308,507,744,507,434,310,979,764,
727,041,296,006,610,436,318,632,059,031,083,470,606,558,601,115,986,256,043,
037,333,913,529,236,330,278,322,887,690,478,805,300,218,678,802,806,226,843,
169,389,882,398,644,691,197,724,945,522,202,161,806,676,967,121,992,316,714,
660,419,566,355,542,542,207,826,117,544,234,681,770,694,838,523,874,609,166,
681,462,134,077,414,203,372,467,246,672,800,578,716,813,421,093,519,881,230,
540,836,283,256,637,082,992,403,587,157,145,660,466,209,533,216,680,787,925,
043,878,811,773,192,970,361,405,558,876,111,327,603,276,319,328,579,953,842,
403,303,870,218,852,170,909,544,795,741,683,561,519,415,261,488,221,024,404,
304,761,890,928,789,954,285,359,243,536,321,470,520,431,881,752,346,701,191,
041,937,355,226,191,847,384,765,457,772,925,855,014,485,727,313,930,343,697,
896,357,015,855,937,271,875,633,729,528,272,586,576,139,519,538,594,060,877,
545,145,103,460,460,601,506,646,845,297,714,755,170,981,237,477,905,539,474,
496,195,764,520,634,508,466,637,321,973,958,021,951,112,206,630,220,025,885,
920,866,135,442,415,192,833,532,589,016,585,083,016,796,453,228,168,264,440,
664,076,700,103,855,697,590,279,227,965,403,349,376,848,082,801,469,862,028,
917,387,368,573,502,252,327,125,299,884,257,658,499,304,922,414,908,557,286,
949,312,062,191,630,175,325,064,588,624,528,697,377,537,988,043,740,926,912,
295,598,177,179,048,415,307,788,761,874,059,486,894,484,991,643,432,938,852,
440,977,508,792,040,170,441,432,758,870,126,965,929,708,918,881,268,537,250,
021,010,229,988,297,218,694,298,807,859,428,445,398,274,231,107,258,155,092,
974,342,077,934,517,409,994,359,894,473,889,990,947,548,219,437,872,591,023,
985,844,623,766,573,013,960,208,519,063,834,870,307,024,327,633,810,113,529,
098,506,343,324,169,272,755,130,824,902,823,017,586,260,640,271,059,234,156,
761,257,812,694,644,948,702,599,967,880,579,539,539,445,905,948,931,427,156,
040,834,167,806,434,128,519,885,247,047,937,656,939,774,079,144,497,937,715,
188,736,458,657,932,443,749,168,313,747,564,345,718,685,202,144,674,631,101,
774,170,873,201,084,577,718,433,254,218,169,278,513,846,443,006,523,270,025,
033,793,587,484,745,274,523,030,927,545,739,499,693,983,039,151,177,450,467,
264,567,687,945,408,663,394,818,774,324,770,520,444,555,815,111,578,004,938,
031,749,732,616,807,466,927,367,352,750,245,229,241,282,355,594,163,704,529,
092,146,419,584,676,642,184,550,789,392,581,641,618,012,210,379,963,704,673,
597,689,960,940,970,545,515,317,798,520,884,642,107,479,470,201,099,610,309,
100,827,624,630,012,715,831,379,578,064,706,204,770,910,882,147,416,535,513,
096,298,293,075,979,084,702,625,428,693,279,848,024,037,351,348,997,751,147,
832,375,463,666,741,173,585,329,972,856,575,577,484,267,470,859,700,791,892,
959,503,480,785,438,233,869,283,814,276,295,261,340,728,447,504,394,775,452,
907,440,204,875,902,129,823,835,800,736,029,019,901,892,781,763,733,095,129,
039,127,468,438,148,912,322,295,684,477,650,216,613,194,564,759,773,081,205,
724,581,568,523,253,649,070,231,951,795,683,153,153,348,763,998,651,058,749,
973,207,987,233,663,634,532,661,508,381,244,087,182,160,490,996,951,857,538,
355,980,276,866,459,721,187,720,026,947,791,882,660,140,032,204,883,980,170,
053,020,164,746,327,253,331,810,275,344,477,371,155,140,659,324,753,185,127,
615,244,957,746,339,729,781,888,599,372,571,876,211,651,871,767,410,611,571,
958,716,111,109,673,707,509,553,333,642,449,495,586,513,534,791,405,218,503,
576,672,750,222,559,338,580,043,110,748,920,061,814,344,839,024,244,523,733,
131,655,283,877,854,933,454,454,399,643,845,260,375,398,869,212,164,570,363,
944,597,997,056,415,767,360,876,252,200,073,334,868,175,921,940,482,974,207,
194,321,819,257,826,403,044,174,412,691,813,384,614,289,719,931,094,945,245,
639,226,533,947,286,648,142,361,158,051,018,464,171,620,704,961,773,869,166,
400,312,947,299,256,392,367,331,991,913,594,789,519,465,124,488,542,300,918,
120,658,693,495,946,662,247,386,825,818,303,931,435,227,477,267,360,225,770,
280,721,434,488,663,735,316,996,653,908,111,531,965,200,016,135,961,681,162,
238,964,871,629,855,688,802,200,994,486,271,036,210,345,047,270,517,272,232,
482,236,898,640,205,579,575,614,525,869,255,272,336,195,959,291,750,446,073,
961,774,488,517,345,988,012,083,352,854,104,949,237,986,379,553,340,143,310,
376,230,843,284,131,328,683,406,019,781,047,065,262,556,265,641,256,114,991,
912,082,940,165,920,461,665,190,515,391,444,280,570,021,350,348,211,372,477,
782,754,795,479,430,738,971,670,091,147,324,021,863,896,658,483,491,083,183,
637,317,016,555,951,933,536,940,044,138,586,970,279,345,389,269,884,628,129,
835,450,143,477,622,130,688,788,866,958,466,245,633,221,636,784,911,709,174,
699,572,536,884,789,389,111,117,954,873,626,355,206,539,852,460,783,675,491,
639,391,400,716,266,564,908,605,028,153,192,293,545,272,547,373,403,722,449,
564,261,645,654,948,895,518,646,889,288,485,666,197,274,471,588,925,927,759,
956,069,345,365,856,397,486,902,745,743,807,951,587,909,165,297,317,916,150,
546,068,263,217,896,806,821,741,477,524,548,316,505,371,712,238,039,939,966,
619,280,039,732,452,329,911,060,065,803,478,896,207,872,724,092,027,539,828,
060,119,811,696,993,634,863,113,708,917,081,189,094,982,299,721,212,776,342,
978,612,998,189,606,076,819,857,879,524,035,581,846,534,213,983,615,565,417,
398,546,361,499,677,720,860,024,011,403,308,422,956,811,476,050,798,169,431,
051,734,728,059,429,192,788,869,701,338,128,611,779,561,053,255,160,530,501,
400,088,631,512,078,325,171,113,863,220,595,384,175,184,566,293,098,777,159,
491,103,136,229,515,823,821,553,917,293,776,416,066,528,220,847,693,609,045,
979,856,347,891,895,269,078,563,957,599,596,591,686,147,134,103,655,455,607,
944,596,723,634,203,603,318,239,596,507,458,939,206,925,879,924,326,753,383,
379,165,303,144,549,608,063,773,415,162,728,432,080,462,984,666,946,705,700,
092,966,435,400,339,557,598,626,240,545,298,201,460,493,191,364,892,730,401,
306,949,280,526,302,667,758,370,729,463,477,604,993,149,451,046,239,621,743,
936,879,126,803,834,321,817,241,440,343,824,590,513,680,260,724,048,929,374,
421,980,237,947,847,774,215,076,922,337,389,768,820,996,355,578,842,099,418,
413,663,316,123,318,967,541,030,413,917,396,565,357,744,608,130,482,132,717,
711,284,944,323,941,735,670,919,601,258,839,926,277,403,854,055,320,418,961,
834,931,718,531,830,729,233,944,313,203,455,579,486,757,367,678,263,945,675,
558,218,108,401,420,229,400,284,631,480,331,376,944,502,181,985,852,124,540,
369,751,711,720,266,727,980,272,279,986,910,906,390,331,961,326,651,358,358,
699,805,840,565,146,473,109,812,691,513,258,424,320,576,664,527,414,285,966,
785,696,208,503,386,232,551,609,715,349,117,268,990,462,313,105,191,430,746,
967,911,814,648,612,349,803,235,606,320,713,631,527,336,377,390,297,903,010,
532,033,215,557,340,599,527,935,535,901,459,233,615,209,080,154,323,041,971,
316,032,385,634,326,218,481,922,005,074,829,938,370,923,081,364,473,714,630,
057,628,242,549,838,038,962,335,155,349,534,286,590,500,143,042,978,350,107,
739,980,971,579,581,835,676,255,901,584,476,132,090,384,475,421,076,595,246,
903,900,385,720,766,265,889,709,046,489,217,432,228,694,531,299,882,159,672,
450,325,597,935,685,860,354,298,019,705,528,295,513,065,348,890,740,090,477,
299,479,097,992,756,331,371,586,480,598,094,201,480,684,023,398,969,229,822,
610,640,004,926,391,130,960,092,758,076,244,633,682,699,012,884,634,585,013,
129,227,867,785,480,647,658,925,719,725,922,148,657,177,890,590,588,855,731,
957,829,379,135,820,686,464,869,218,984,128,411,976,838,604,108,980,773,903,
259,087,129,794,788,827,775,700,154,324,754,042,559,379,541,152,849,478,506,
977,198,425,584,567,533,326,402,826,326,397,727,038,910,648,369,927,060,626,
732,549,985,963,471,757,397,794,730,123,376,795,174,383,758,892,043,746,231,
937,175,787,027,985,270,454,269,898,910,377,598,818,221,704,027,677,679,011,
769,264,069,219,836,113,907,128,303,446,060,287,656,042,295,583,286,917,601,
824,630,605,559,809,504,231,160,327,251,168,709,746,121,372,929,840,568,845,
638,181,384,904,977,454,809,355,060,294,376,421,625,546,898,100,773,906,952,
458,205,175,345,392,115,231,356,354,960,460,563,382,196,471,182,405,297,853,
666,731,449,850,609,865,374,187,987,684,852,086,775,090,908,495,277,928,271,
346,533,986,512,240,806,802,945,922,166,973,755,836,266,001,433,462,329,325,
329,626,568,392,868,514,998,869,000,699,694,361,132,490,749,320,587,785,181,
558,968,401,490,569,423,608,864,419,728,301,350,789,241,414,920,001,523,409,
043,510,291,415,990,145,554,460,814,032,585,406,882,968,837,369,812,754,534,
769,127,564,063,434,476,507,610,560,098,015,914,866,954,349,127,763,208,634,
926,162,195,379,479,753,097,131,418,053,103,099,019,111,442,722,495,342,163,
275,125,397,870,598,481,056,052,592,601,503,739,352,093,258,208,317,844,980,
063,579,542,655,169,650,191,173,885,911,380,337,640,634,537,418,185,703,044,
406,644,760,824,933,945,971,539,561,511,478,547,766,449,664,698,065,848,636,
871,875,244,940,200,220,874,649,558,035,872,536,678,306,158,926,975,647,148,
022,650,520,044,999,422,091,771,639,443,730,623,487,717,754,919,443,867,737,
602,378,715,378,069,014,724,666,001,230,062,351,710,900,385,144,071,310,922,
866,227,210,558,039,386,853,336,401,177,511,760,169,395,176,858,255,610,152,
364,739,273,349,545,773,275,335,185,541,394,149,400,505,340,471,382,645,357,
329,335,924,315,029,795,337,507,583,610,276,616,393,428,904,345,634,283,708,
253,982,072,225,663,847,099,187,459,133,419,572,897,617,972,685,896,668,252,
507,418,557,467,011,694,593,692,263,167,208,850,114,287,210,014,126,357,362,
594,792,205,617,116,127,508,704,558,752,693,963,917,601,511,296,715,587,857,
581,461,003,720,102,961,924,979,630,058,993,167,051,829,294,383,870,786,609,
496,504,711,162,579,747,299,665,175,864,636,479,605,876,088,347,441,179,786,
819,257,382,747,343,974,482,471,160,272,334,935,681,015,484,796,703,227,157,
209,638,866,935,581,817,894,663,937,806,713,925,724,650,316,567,914,666,812,
526,293,601,424,896,292,780,268,675,360,972,797,151,754,976,184,639,770,721,
815,655,148,874,570,373,452,117,081,513,765,994,203,488,623,095,975,442,855,
637,510,752,271,223,060,290,415,687,704,121,014,158,264,479,641,168,333,561,
406,764,427,897,698,778,996,872,310,087,162,701,183,318,563,341,503,153,383,
451,982,116,420,681,185,200,793,273,555,414,836,960,011,680,997,428,470,837,
164,194,217,951,735,746,718,322,519,797,593,301,013,319,863,869,314,391,878,
693,319,919,596,481,261,171,960,388,902,613,768,260,164,208,119,485,111,178,
071,994,265,896,871,293,400,561,202,132,444,469,341,450,892,906,730,975,348,
262,377,849,624,458,033,940,030,157,930,374,185,551,962,870,436,150,794,149,
771,284,357,845,842,721,903,395,117,926,712,086,451,635,366,396,056,578,725,
965,366,050,905,688,204,673,166,866,969,220,424,202,570,508,239,972,769,398,
307,148,678,123,938,577,593,226,502,563,779,756,319,211,120,780,140,465,037,
791,832,728,168,807,346,715,450,083,944,280,130,706,182,245,685,838,485,200,
011,381,052,801,591,673,207,005,296,393,883,258,909,554,081,895,316,807,087,
362,940,718,954,185,919,687,292,385,714,543,217,038,159,376,045,422,573,562,
969,145,930,899,109,768,044,555,143,264,134,466,829,486,529,707,105,988,942,
608,956,351,074,059,366,786,558,058,700,589,648,616,514,809,511,083,359,337,
044,348,455,325,592,566,518,544,717,497,766,148,839,958,085,168,701,130,675,
177,199,571,843,912,050,190,550,581,275,642,298,672,824,070,427,099,725,517,
857,730,512,098,376,420,587,441,521,050,113,128,270,785,931,356,993,141,832,
546,452,354,757,125,127,706,157,190,786,677,420,493,442,039,485,925,862,094,
032,455,061,082,391,802,175,958,351,493,334,802,859,358,521,146,730,481,888,
191,725,302,556,054,247,770,356,330,516,490,571,300,145,548,417,424,043,921,
971,769,541,975,558,480,863,925,306,000,034,617,250,702,227,209,420,112,965,
188,720,472,173,375,848,172,187,680,671,899,386,961,835,321,734,933,031,632,
014,818,299,504,875,238,927,023,173,202,637,861,073,956,415,579,263,300,171,
278,808,579,301,512,963,472,749,477,209,589,694,380,355,972,896,683,987,213,
217,956,463,825,477,674,198,404,224,793,569,541,099,731,432,908,853,780,418,
219,235,485,701,234,444,172,120,817,165,633,013,930,447,735,743,233,421,757,
555,369,810,760,635,197,710,381,115,335,712,369,312,184,125,512,924,343,615,
527,656,088,379,660,694,174,322,360,490,864,481,062,168,384,691,818,818,596,
269,072,225,339,234,715,159,288,451,448,901,151,018,093,733,278,485,563,160,
165,004,309,530,030,580,875,836,821,547,992,498,895,497,169,394,406,727,430,
145,994,187,143,347,204,772,726,477,622,281,326,574,151,905,318,080,124,341,
169,467,747,039,083,333,273,639,704,689,874,266,481,048,352,176,478,549,325,
926,965,220,947,884,258,439,696,686,143,587,357,381,500,338,026,530,936,151,
923,100,186,538,918,262,389,863,932,771,144,108,662,802,926,509,362,661,753,
478,365,271,875,261,335,818,791,579,424,821,843,641,551,073,901,686,326,299,
946,679,136,594,319,326,583,759,680,792,767,751,197,392,060,541,178,656,922,
002,356,698,672,925,999,050,928,397,220,393,430,939,297,050,487,659,006,631,
407,870,767,472,476,139,838,391,896,872,566,288,093,404,909,759,516,100,917,
496,801,053,909,837,057,508,212,960,441,719,209,847,675,136,966,821,026,450,
873,916,104,556,038,278,706,662,906,003,808,063,665,210,570,633,926,761,176,
953,586,825,850,084,389,991,827,182,144,658,960,304,676,737,298,146,392,917,
515,567,172,848,588,024,496,085,686,587,822,443,410,734,388,716,344,510,487,
858,233,507,587,343,964,500,580,884,993,375,897,650,646,297,331,642,227,805,
025,657,241,961,768,065,520,344,202,566,929,380,216,007,720,310,231,660,385,
488,947,320,435,221,754,594,233,999,292,487,187,927,751,447,823,448,046,797,
627,318,315,529,840,633,473,912,720,853,467,729,517,602,094,672,391,545,802,
466,973,312,467,462,830,270,976,616,720,035,919,524,819,379,425,957,177,181,
837,765,023,986,602,070,334,073,983,605,182,211,453,537,386,847,081,053,558,
093,416,144,133,624,533,247,092,930,635,312,994,776,168,254,737,783,117,832,
907,927,702,085,165,219,706,686,970,807,125,973,656,328,313,066,096,923,440,
182,668,153,802,039,569,718,419,804,126,692,524,231,727,084,353,267,284,376,
996,080,156,915,215,836,158,358,789,786,815,340,424,883,805,354,081,441,360,
129,423,780,779,960,770,389,951,574,086,627,636,164,806,807,654,143,106,452,
922,010,312,430,842,978,483,272,827,442,940,175,264,523,156,117,294,482,329,
419,897,900,256,632,280,621,785,842,418,771,605,060,635,986,155,345,367,244,
498,643,611,582,599,148,938,134,706,339,142,264,312,376,276,226,567,489,681,
362,826,620,446,570,844,010,858,011,943,398,655,637,654,360,375,636,892,525,
470,227,173,528,756,066,255,836,592,496,881,439,001,101,576,177,518,889,288,
715,363,504,125,567,380,828,567,697,277,928,855,175,719,458,376,859,380,470,
441,221,984,046,636,557,940,666,015,352,413,251,760,983,757,397,188,309,723,
940,806,397,101,849,152,153,758,665,958,678,948,620,441,828,360,025,385,820,
018,621,663,275,920,174,503,651,714,112,258,660,692,505,155,764,313,958,358,
565,346,484,681,468,438,612,156,424,232,520,469,860,073,532,963,700,167,286,
702,107,901,599,898,066,003,193,725,157,260,794,234,617,347,982,480,970,593,
308,550,863,562,169,328,426,195,208,192,504,305,999,356,065,021,382,393,584,
426,321,485,778,574,419,255,948,620,574,605,097,682,494,892,767,901,447,059,
775,698,145,341,081,022,861,382,732,429,729,079,107,349,087,625,297,377,868,
945,906,464,193,629,763,709,756,632,702,405,417,526,056,613,333,757,699,013,
510,469,056,559,590,858,428,447,462,307,300,547,568,224,705,396,900,237,349,
251,839,067,355,887,671,803,023,818,745,885,131,037,374,688,104,520,985,266,
821,756,931,556,148,454,163,437,015,648,229,241,540,790,234,991,577,586,698,
661,633,080,235,125,048,078,121,926,671,697,034,806,468,564,096,601,557,865,
654,705,829,584,663,550,717,122,120,778,725,190,206,797,109,972,168,852,665,
006,514,929,747,373,040,227,392,191,146,628,770,171,552,350,291,607,716,702,
682,666,091,393,071,634,002,614,003,301,083,145,311,968,134,806,545,491,431,
575,988,811,091,165,613,585,139,043,895,868,847,125,522,907,035,827,662,551,
431,042,932,735,316,788,891,720,867,955,633,006,917,605,127,796,523,294,057,
247,197,558,164,481,184,950,971,434,290,231,150,328,646,711,819,185,611,400,
056,307,264,421,021,726,653,743,214,920,974,092,925,940,079,717,763,045,260,
490,177,338,639,393,358,095,439,548,808,081,755,389,810,005,006,349,040,361,
954,999,017,950,130,541,912,366,326,204,959,351,503,037,071,178,619,337,572,
790,044,071,718,992,339,688,774,105,405,167,789,395,499,230,816,943,877,783,
858,607,194,485,004,732,279,351,843,489,371,985,416,259,821,314,626,806,618,
595,567,038,533,224,716,604,866,268,933,345,344,524,105,865,365,563,826,641,
323,585,396,712,645,369,362,312,840,981,871,928,096,397,240,969,855,385,792,
950,008,201,760,953,661,443,667,107,289,563,907,972,388,939,104,969,599,424,
556,331,436,142,418,571,569,730,546,950,339,266,793,243,383,676,989,410,802,
599,033,672,381,999,869,380,476,589,154,895,563,145,643,028,732,999,620,725,
889,462,821,444,316,292,638,582,169,989,090,270,987,044,881,489,622,503,303,
880,402,577,993,149,395,424,363,033,565,549,181,653,016,185,439,436,348,902,
371,332,319,097,661,393,072,460,234,074,091,817,245,983,869,794,325,973,162,
330,174,612,699,232,297,894,493,184,403,498,508,445,327,119,704,769,845,386,
002,830,542,076,875,456,307,349,884,618,248,888,327,705,677,823,661,673,820,
202,500,816,151,580,318,945,984,287,891,501,105,435,736,784,183,035,709,400,
747,218,622,778,344,704,796,319,288,571,061,119,870,766,144,276,161,633,171,
010,232,557,439,105,284,697,860,010,967,069,600,295,470,230,295,107,374,310,
143,917,192,848,801,209,576,476,112,325,605,803,780,102,972,493,163,948,753,
260,007,238,789,528,556,137,423,358,932,641,556,278,302,042,282,847,761,808,
906,085,609,621,773,895,709,853,309,839,901,367,982,088,169,792,373,928,998,
726,045,508,559,547,655,245,803,793,684,172,044,493,737,663,494,144,562,381,
525,446,509,907,931,924,697,515,011,913,832,068,949,060,012,674,759,219,772,
291,893,339,362,563,479,034,100,505,485,013,095,757,659,039,462,332,430,465,
901,492,316,548,588,261,239,531,459,382,333,433,066,698,807,725,642,507,670,
692,916,918,999,844,926,533,226,071,472,638,130,223,799,866,913,467,356,201,
022,124,098,964,612,448,493,774,643,789,113,394,061,443,653,885,252,204,877,
309,212,376,748,306,603,358,193,380,313,793,142,918,563,509,789,562,054,510,
505,552,605,276,497,095,501,460,283,419,678,066,845,365,430,599,918,945,518,
807,493,717,124,177,382,222,623,738,712,506,870,219,487,769,883,588,975,921,
280,564,308,996,481,328,323,919,483,113,210,495,067,075,108,843,579,443,875,
922,333,275,452,470,572,524,483,229,246,285,270,153,628,517,367,817,558,475,
807,861,712,503,351,028,184,851,346,283,655,872,896,837,525,060,908,439,271,
340,129,128,536,819,375,520,006,207,798,947,979,672,071,162,014,834,006,119,
208,982,509,923,043,463,124,914,298,119,674,668,148,519,289,039,841,522,464,
177,764,916,966,223,210,985,657,755,855,336,016,419,592,070,431,091,930,834,
190,317,505,179,335,758,886,909,423,136,705,203,335,155,961,381,380,547,577,
332,176,946,413,552,333,425,437,825,410,944,334,512,303,611,184,576,788,438,
965,202,416,382,423,782,168,513,981,058,893,297,811,825,147,512,526,264,911,
187,000,590,222,957,424,519,709,218,088,906,790,660,654,715,529,628,293,123,
270,310,080,616,453,119,894,079,428,760,393,776,447,485,909,248,978,257,653,
037,595,206,290,105,059,085,203,507,267,328,469,644,220,055,702,155,608,639,
876,935,660,403,089,799,252,478,633,188,487,404,947,632,563,520,707,013,897,
118,172,115,286,514,828,577,200,168,842,821,243,824,002,156,733,084,371,582,
434,079,412,133,431,570,465,807,725,137,691,486,290,596,616,060,604,924,033,
368,019,064,151,506,934,506,784,027,894,464,588,424,669,101,856,166,836,864,
506,172,599,582,309,037,227,000,936,774,807,399,329,645,216,774,027,265,352,
732,523,354,333,928,457,651,281,137,391,900,858,162,652,146,308,118,398,629,
366,317,236,049,398,690,114,092,784,055,011,715,566,299,260,704,828,825,526,
909,319,548,870,581,302,622,460,010,273,481,088,990,559,934,268,502,588,736,
700,129,251,705,121,701,665,297,582,045,993,759,676,960,354,709,903,522,021,
215,115,933,252,439,366,357,441,959,223,268,190,587,152,272,046,013,566,161,
642,038,224,315,950,219,149,952,469,348,834,045,942,240,065,037,467,395,252,
081,486,044,323,591,019,734,474,873,948,693,045,039,124,095,286,955,229,051,
780,557,291,350,150,483,453,739,613,581,217,958,426,112,584,532,384,980,253,
024,612,486,702,703,622,745,125,668,802,727,692,994,939,924,827,437,004,895,
624,043,456,012,858,068,256,627,145,111,569,969,017,991,898,662,389,166,129,
800,652,464,367,624,251,132,358,027,195,576,216,592,298,396,512,859,987,034,
255,790,420,164,467,762,309,223,762,149,726,638,849,040,246,588,130,286,179,
436,076,533,882,620,906,780,737,665,207,563,813,274,405,030,877,081,305,197,
891,138,422,650,796,817,452,602,935,188,839,971,407,841,303,627,669,694,322,
724,876,695,874,462,409,109,175,492,379,544,190,828,006,482,849,645,719,813,
965,847,500,187,275,998,843,702,047,286,677,390,148,631,389,475,465,482,744,
667,789,876,714,690,438,191,265,980,964,451,710,315,082,578,716,277,551,983,
775,647,859,309,213,766,302,305,040,831,638,461,575,029,534,097,178,312,990,
435,224,860,203,920,741,363,441,579,133,754,140,849,594,628,309,051,791,147,
840,873,826,349,549,555,542,769,871,697,804,899,680,952,150,787,838,804,601,
427,385,804,363,261,454,681,493,690,806,731,741,033,583,793,178,503,172,462,
605,487,876,808,387,574,214,803,269,817,764,737,526,175,079,180,053,420,764,
979,678,097,509,640,928,899,500,606,265,488,464,304,028,393,344,073,130,212,
949,183,078,401,773,207,566,835,087,631,675,243,333,637,629,766,159,205,437,
764,932,202,610,824,528,507,242,888,935,851,906,795,840,640,856,717,292,179,
646,928,809,499,148,339,479,260,483,081,843,910,557,313,340,386,210,623,554,
276,310,267,096,583,124,420,616,243,557,576,499,822,386,988,634,742,062,620,
772,831,533,225,667,746,123,485,137,552,598,907,451,066,329,008,772,536,078,
323,719,563,117,245,982,499,705,449,849,927,120,615,052,621,260,284,907,947,
147,814,015,489,913,834,690,459,246,412,225,653,812,643,040,507,947,876,672,
661,724,868,771,251,655,091,209,071,125,789,545,400,061,381,057,871,587,446,
567,600,609,509,022,419,974,131,488,924,247,189,352,738,148,996,748,741,128,
627,983,943,631,973,487,090,494,294,698,217,314,931,398,771,490,487,684,915,
485,109,061,937,270,907,294,610,816,960,865,114,861,501,704,027,620,021,851,
319,748,650,567,710,554,223,792,338,138,142,493,955,501,033,294,147,066,329,
578,337,710,968,592,871,604,608,379,156,226,389,904,878,700,145,687,080,231,
519,294,451,464,014,281,120,711,733,316,284,749,543,396,523,547,197,269,395,
776,939,969,781,243,577,278,236,842,002,839,218,029,733,675,627,041,572,468,
792,673,098,698,783,114,951,748,427,619,249,732,352,955,117,102,499,592,901,
031,699,528,283,168,837,219,577,778,512,789,682,803,776,328,768,211,076,754,
268,528,897,472,338,011,224,969,389,682,624,120,062,218,694,248,890,094,151,
266,046,384,056,891,590,417,741,014,988,950,466,150,790,826,646,404,354,532,
594,621,035,999,091,805,185,019,366,324,809,357,878,928,314,039,341,057,537,
944,627,938,224,045,707,270,645,571,118,182,429,043,885,684,587,707,299,326,
203,190,665,568,577,402,941,427,178,112,240,777,971,354,876,794,311,935,096,
371,595,867,523,921,264,250,100,504,686,124,618,856,164,766,160,241,513,108,
400,588,896,537,461,329,181,488,658,174,847,412,457,892,031,029,026,182,787,
044,061,578,115,239,390,085,655,979,907,660,983,066,190,510,154,578,564,756,
445,813,933,281,028,385,833,497,005,423,688,988,828,012,244,982,390,888,086,
121,777,012,028,138,718,119,437,600,362,307,258,878,702,014,484,102,302,883,
564,420,353,504,875,541,031,596,535,032,894,353,167,993,622,469,262,784,713,
315,453,507,526,767,475,159,156,332,747,702,251,292,532,416,619,292,403,568,
969,360,221,248,814,924,450,077,589,523,907,458,092,288,784,428,867,472,465,
379,700,418,168,768,023,792,602,464,572,614,758,813,137,007,265,140,171,466,
516,372,006,169,547,014,453,637,588,536,441,260,387,995,257,180,000,586,992,
198,315,996,751,451,783,273,904,633,006,933,328,936,483,749,574,193,055,277,
599,797,166,916,595,796,888,166,593,410,378,720,351,917,494,716,955,902,772,
747,191,750,626,656,812,577,002,180,052,289,294,809,597,137,856,527,000,057,
040,202,702,163,313,340,477,513,682,629,823,413,046,872,317,122,478,297,970,
996,717,236,044,248,069,051,853,666,337,639,014,022,539,181,194,381,449,796,
764,197,621,863,164,523,620,991,877,138,478,572,843,345,999,902,628,776,778,
448,547,561,353,909,035,812,300,862,215,366,566,691,033,870,171,829,387,322,
036,295,165,534,878,574,053,837,837,118,398,286,940,626,037,984,508,155,897,
041,301,746,167,179,215,637,725,834,414,047,915,327,954,223,331,819,507,886,
008,849,836,965,770,445,447,623,307,828,224,198,650,455,822,206,376,292,086,
359,571,612,157,893,819,671,783,284,411,597,951,618,814,548,569,019,295,609,
689,899,891,081,689,106,214,110,945,566,937,202,080,481,991,546,766,259,193,
323,928,259,766,857,097,675,400,709,358,319,946,648,576,906,349,606,669,693,
738,558,081,688,111,435,757,862,179,357,246,599,054,951,200,492,384,920,008,
659,027,969,314,104,404,470,999,686,586,955,767,641,002,173,791,215,852,912,
886,151,231,077,239,555,505,302,645,008,120,004,568,732,722,125,671,824,348,
205,694,723,981,922,291,486,476,115,626,648,519,794,307,705,540,734,202,815,
787,400,664,417,692,620,566,428,072,842,676,400,675,343,054,664,763,966,974,
799,130,778,291,849,175,736,924,703,382,780,245,662,838,430,872,733,561,884,
814,901,724,062,572,935,990,640,422,037,682,141,896,082,170,941,905,131,124,
995,667,415,895,209,545,411,039,073,185,254,802,970,528,596,658,219,298,582,
112,420,406,575,641,484,242,546,867,272,305,830,197,163,498,145,951,738,863,
641,601,173,930,723,079,503,858,055,124,115,250,366,954,847,374,709,641,501,
665,935,057,478,212,813,054,354,715,399,820,913,542,395,690,432,916,484,235,
639,837,581,070,949,393,305,930,788,976,335,717,580,079,884,575,759,693,817,
238,452,567,605,766,484,801,689,305,676,859,455,628,653,125,151,151,948,716,
699,970,310,920,523,999,560,687,441,496,698,937,500,287,373,608,143,439,783,
468,677,540,589,808,404,733,022,493,424,876,264,586,514,180,240,762,033,141,
564,224,519,158,894,278,821,645,456,224,347,775,599,133,022,502,668,612,549,
788,698,725,279,448,215,403,472,837,348,512,874,491,540,305,355,864,057,879,
372,981,302,825,901,037,428,263,717,908,339,944,217,474,785,376,736,394,951,
329,355,714,000,759,886,147,792,336,875,262,243,152,504,039,527,800,089,287,
444,849,261,514,096,696,009,653,011,554,047,400,174,231,661,755,634,185,678,
790,528,291,939,493,688,170,093,411,141,456,546,926,949,450,052,774,454,418,
338,135,942,188,358,309,255,233,007,151,492,442,921,039,979,570,716,626,725,
119,472,456,228,173,251,638,243,880,294,296,605,702,215,482,172,530,518,139,
594,838,736,951,357,970,611,102,352,245,244,974,820,875,000,674,226,064,007,
951,448,861,792,708,552,531,732,950,033,736,836,108,269,789,081,767,160,258,
703,969,662,258,867,184,753,109,805,184,704,567,746,805,251,741,158,716,357,
867,330,297,359,396,391,737,713,487,160,233,369,008,455,031,823,832,192,848,
764,258,507,247,875,870,108,556,635,075,960,322,180,704,541,920,183,028,748,
377,463,814,036,839,689,513,740,456,125,519,456,894,389,772,933,662,035,124,
271,196,572,019,170,390,500,826,191,790,271,903,750,990,087,510,072,304,228,
236,611,071,733,111,188,942,489,927,650,240,419,423,839,593,967,433,964,591,
703,310,898,455,424,496,963,326,437,232,985,470,448,989,924,582,363,187,799,
314,159,779,985,170,183,122,971,227,008,738,452,864,501,683,975,790,921,251,
848,132,563,251,874,231,454,693,528,859,516,299,572,936,662,891,704,369,534,
258,615,880,774,397,698,521,613,577,976,497,856,742,081,957,296,674,715,740,
795,555,075,066,155,426,963,141,353,208,006,268,709,874,173,223,692,737,169,
494,762,191,863,068,076,436,610,464,910,383,712,210,639,883,356,240,157,790,
382,038,493,302,672,288,064,098,988,185,572,109,031,418,802,698,847,949,040,
476,670,169,682,309,542,630,759,463,185,896,427,634,547,955,778,843,837,371,
327,481,491,624,969,948,597,534,841,160,314,002,889,992,570,958,685,093,407,
942,898,841,562,742,340,220,365,302,429,770,690,910,359,374,435,850,436,088,
919,772,230,770,735,225,685,807,707,282,417,785,960,303,767,011,767,502,209,
135,198,675,050,929,042,515,526,811,251,087,247,253,364,156,701,703,171,292,
941,141,389,834,029,285,821,936,109,070,073,113,264,710,481,975,929,789,317,
800,905,087,003,952,620,825,546,874,615,285,956,357,253,614,448,453,079,205,
377,673,649,888,939,792,150,341,150,079,186,399,936,027,423,906,762,939,882,
156,464,805,287,426,776,789,815,416,905,943,453,385,532,706,174,139,838,925,
169,053,243,433,302,109,270,236,179,321,670,333,943,389,638,509,951,645,416,
610,069,251,481,325,207,527,150,303,953,985,573,693,720,148,390,582,980,881,
955,135,788,177,135,626,102,079,301,978,418,701,176,518,468,493,392,455,870,
407,269,783,863,066,533,104,884,378,798,338,098,222,420,798,195,659,700,580,
835,917,668,520,147,937,658,564,581,323,488,885,277,388,423,592,670,125,157,
177,264,158,361,701,594,392,799,664,753,812,777,595,073,361,769,310,887,201,
954,115,378,044,698,742,950,392,838,601,997,333,086,263,053,670,322,852,001,
911,557,001,715,562,837,137,242,217,703,458,185,207,470,916,996,512,378,295,
170,923,371,180,736,334,203,500,575,545,311,313,323,938,563,759,914,073,857,
969,018,084,600,897,997,071,445,846,753,542,209,157,846,096,667,242,826,187,
114,998,779,047,966,087,553,451,801,697,836,131,447,117,016,104,465,157,266,
281,078,147,746,028,176,795,920,748,999,642,970,136,560,275,886,225,775,410,
836,874,480,738,219,675,668,908,609,434,954,395,139,944,558,291,096,530,592,
540,754,695,521,835,952,941,641,983,788,312,389,568,350,853,382,592,060,858,
949,911,990,092,424,667,082,336,606,699,004,879,399,455,358,456,827,739,062,
568,262,884,743,672,839,453,555,692,800,170,615,106,455,023,052,925,700,641,
997,651,113,560,354,794,417,053,905,781,452,997,866,176,943,396,343,948,443,
972,451,165,126,123,330,460,535,583,834,542,119,331,250,034,072,818,295,172,
282,821,516,534,988,489,548,004,336,670,742,123,819,734,863,309,283,931,978,
735,036,687,692,671,195,398,571,152,658,706,836,340,954,009,766,304,460,260,
406,544,532,467,944,719,744,110,943,282,163,492,854,293,006,620,376,345,666,
953,738,022,976,235,475,354,060,188,190,892,474,593,892,621,693,669,091,780,
888,393,867,066,819,140,618,433,408,929,282,587,652,255,205,577,166,492,848,
084,107,368,571,203,729,290,885,895,032,764,298,219,760,532,679,820,073,493,
922,565,855,506,758,132,529,034,373,197,398,389,076,036,804,196,658,646,045,
751,453,019,653,550,565,628,240,222,607,671,828,966,325,111,472,979,057,780,
181,939,553,799,854,677,589,050,376,361,481,756,284,684,735,641,537,130,655,
259,047,110,031,351,287,001,170,143,668,086,729,363,325,644,825,732,000,407,
552,949,199,074,792,690,363,616,190,580,251,049,685,723,689,163,459,773,213,
047,608,652,477,620,274,097,717,474,969,352,370,814,242,197,102,948,778,015,
702,200,645,224,490,915,432,535,759,929,382,590,927,204,977,825,996,566,898,
471,055,491,654,669,684,888,934,301,524,263,922,545,003,390,424,884,145,250,
072,260,273,463,319,898,371,165,766,978,980,371,214,945,732,837,904,754,339,
316,677,981,354,623,905,021,499,730,081,990,264,774,870,758,560,553,732,613,
643,585,707,232,661,050,746,891,621,757,021,223,422,955,070,816,092,433,624,
784,759,978,734,809,660,143,608,001,543,499,610,413,512,401,281,816,405,883,
491,110,382,055,703,199,690,873,710,041,073,788,284,044,647,551,830,172,645,
825,209,876,679,782,971,177,019,803,863,543,854,644,526,956,409,998,781,593,
494,713,506,267,243,814,702,408,763,232,468,273,081,728,664,542,242,479,859,
554,078,024,371,561,274,596,227,836,550,015,694,056,714,147,818,426,400,610,
087,430,496,061,078,812,340,278,781,253,088,534,985,339,442,540,631,058,710,
581,062,282,808,680,852,852,642,905,804,720,031,585,455,106,162,703,532,317,
440,128,702,327,718,540,183,912,332,665,041,654,330,633,472,309,284,572,792,
495,613,827,106,702,460,412,258,467,680,721,394,973,524,247,142,085,597,431,
589,571,612,333,742,327,412,031,413,798,747,698,606,875,193,299,325,604,267,
795,445,291,562,579,162,726,338,968,792,433,536,761,206,911,574,294,847,756,
192,477,996,576,437,260,079,381,793,022,405,848,827,039,587,603,964,686,413,
683,631,289,898,592,782,705,765,569,283,366,752,175,223,007,609,315,662,009,
524,949,824,217,733,691,369,662,415,395,152,680,686,680,778,612,089,804,018,
358,534,685,741,157,416,874,640,074,501,808,829,064,037,474,407,749,056,799,
058,808,137,964,284,556,434,963,255,389,219,595,035,622,099,012,438,828,183,
059,709,688,281,884,495,069,809,819,706,242,296,988,191,054,191,963,256,007,
966,691,681,499,923,360,534,882,612,146,258,574,590,470,479,585,220,939,971,
242,598,573,935,963,238,913,515,914,016,409,907,560,814,276,239,559,243,458,
438,672,469,998,682,294,162,850,768,153,898,635,828,132,198,581,650,356,933,
774,011,025,303,412,094,991,949,223,103,850,394,592,141,861,754,445,462,637,
462,258,444,284,628,570,184,957,974,400,452,861,628,855,561,964,309,399,829,
163,229,645,951,642,071,425,944,478,990,765,441,603,346,983,366,767,288,516,
140,303,677,973,771,770,543,194,383,516,413,658,605,975,891,306,121,444,667,
338,489,308,283,571,699,660,052,888,255,431,666,499,314,158,928,468,848,483,
116,609,030,593,118,249,401,626,354,668,159,828,848,957,983,423,207,194,558,
182,112,694,999,202,062,559,443,001,501,305,874,278,809,454,654,984,605,186,
702,794,308,466,999,617,570,851,772,996,238,121,711,051,194,360,095,368,375,
471,236,957,428,599,250,617,471,342,059,034,412,718,184,033,262,013,601,489,
702,393,265,653,013,309,442,518,432,259,876,871,041,355,614,121,158,859,099,
661,415,602,250,546,360,295,134,873,577,527,830,795,169,868,366,879,104,350,
477,524,046,491,641,674,999,149,661,455,707,028,504,873,728,938,309,953,297,
895,736,806,653,085,311,474,240,921,878,493,141,981,889,035,472,183,818,356,
391,969,862,920,675,314,851,149,767,317,402,747,897,485,811,483,120,098,652,
365,041,200,502,333,495,903,701,262,942,721,042,824,678,607,543,584,500,395,
487,968,718,071,403,931,174,124,983,067,446,005,409,498,874,906,458,941,476,
933,021,227,459,748,428,514,284,173,227,636,815,162,081,753,771,694,953,297,
467,780,987,171,445,713,832,715,391,289,462,669,955,203,640,502,212,254,207,
175,260,120,963,391,469,615,228,666,099,674,732,491,954,098,284,871,541,217,
550,381,198,128,474,430,145,499,996,861,206,029,841,988,076,782,918,524,223,
547,965,731,634,994,761,787,725,987,128,095,697,465,553,242,229,044,307,581,
307,549,302,720,606,972,217,071,941,180,173,770,418,698,291,333,551,409,061,
856,474,207,039,840,218,325,954,486,524,720,570,812,462,317,129,557,574,821,
015,760,870,082,554,945,242,966,018,816,015,328,152,128,497,388,529,240,937,
008,225,413,311,381,489,993,203,298,602,573,451,803,700,061,667,658,350,816,
275,453,476,447,532,707,552,298,090,069,937,922,321,325,771,486,374,694,721,
353,940,000,589,578,265,769,223,726,927,428,313,746,705,779,072,685,072,500,
551,057,409,573,238,663,423,358,755,069,755,540,004,448,953,081,082,463,298,
952,060,414,671,958,539,477,907,322,957,626,894,687,931,717,800,925,333,710,
604,135,050,032,819,924,659,393,094,576,532,987,156,846,054,090,306,355,798,
937,088,632,852,682,299,912,033,649,602,355,446,014,256,838,690,762,149,864,
966,142,881,797,063,447,311,954,649,464,093,160,063,149,143,583,843,932,534,
154,136,735,123,684,178,156,792,346,345,967,636,069,696,905,133,585,830,718,
876,228,051,042,223,765,150,117,068,751,919,531,433,079,244,670,363,143,137,
572,356,274,381,776,526,986,966,994,610,623,513,791,846,870,591,230,040,785,
239,398,662,476,691,195,675,266,987,297,062,282,455,838,874,315,210,954,405,
863,768,800,990,835,118,586,175,013,057,181,070,333,975,444,001,544,807,942,
506,453,113,976,674,200,546,506,467,356,149,677,991,886,156,860,923,372,583,
139,439,754,840,596,687,571,483,248,004,085,897,874,759,981,619,384,444,933,
579,469,054,116,069,941,772,683,716,431,437,484,849,582,155,755,446,976,433,
492,750,216,189,457,908,960,384,757,767,299,701,136,217,813,093,817,825,757,
978,104,583,034,118,876,674,118,792,786,585,870,961,907,898,279,824,125,318,
940,874,434,420,371,526,453,274,293,693,472,002,063,884,957,386,821,985,802,
030,369,937,305,886,211,563,567,643,864,545,534,645,214,586,692,163,930,586,
001,959,488,799,441,141,639,403,768,145,651,844,191,897,935,842,967,381,590,
615,727,930,165,517,893,944,396,722,806,064,101,912,996,487,522,141,541,138,
821,198,920,453,120,738,411,820,842,407,255,134,610,101,913,744,243,139,916,
208,768,207,446,455,938,404,973,622,794,811,218,667,292,212,988,886,625,317,
038,442,919,183,795,025,839,116,209,307,499,975,183,293,237,090,184,149,172,
334,556,595,644,840,262,069,449,822,209,443,446,500,698,140,204,571,871,565,
489,263,754,160,383,209,274,445,110,210,288,034,258,077,897,273,349,930,251,
709,554,987,918,242,947,780,311,568,864,108,032,176,380,170,475,763,215,016,
382,378,457,471,453,245,226,848,556,176,462,118,062,989,221,056,421,960,326,
660,432,147,858,570,737,465,007,346,629,617,313,203,973,142,576,557,146,834,
488,002,163,715,301,014,070,413,388,089,496,553,262,474,106,160,993,701,318,
361,480,478,844,541,049,675,449,146,653,425,686,152,451,002,532,687,665,659,
501,785,633,027,456,296,475,957,966,125,640,362,611,417,299,418,871,144,445,
690,942,201,929,083,248,382,238,195,493,747,613,418,949,531,556,671,288,181,
460,852,531,582,005,975,078,770,078,679,921,753,752,282,027,836,325,567,649,
201,564,833,628,182,546,038,318,670,781,806,521,244,697,842,499,619,344,991,
919,181,463,593,421,235,026,210,436,701,939,029,409,705,471,575,515,781,912,
601,262,166,315,944,087,104,480,753,820,913,072,052,010,575,931,433,759,141,
305,791,107,042,868,166,525,138,338,187,083,745,755,691,303,107,646,831,789,
547,643,022,908,960,431,912,449,812,961,538,570,468,610,066,449,379,565,644,
531,751,479,011,751,005,433,050,325,342,464,905,428,874,209,634,286,719,658,
984,854,140,178,905,053,787,054,757,095,481,257,149,549,792,078,638,800,836,
356,878,210,734,941,631,924,941,324,904,147,106,923,718,150,086,393,408,208,
334,517,883,688,061,453,959,175,742,165,449,765,591,182,248,969,122,330,021,
121,106,729,352,945,574,694,343,706,187,986,032,284,180,202,823,194,295,204,
719,286,114,536,019,161,186,752,614,378,149,289,914,627,517,221,138,294,657,
027,277,271,101,472,504,230,905,022,314,576,555,249,807,723,869,146,038,948,
253,022,418,910,071,948,099,180,375,617,811,268,583,116,475,830,634,126,148,
890,043,525,558,784,383,431,763,473,221,293,129,265,857,812,551,616,721,127,
547,779,176,215,081,106,961,155,545,375,958,463,350,024,796,539,455,347,032,
072,574,176,519,693,036,114,594,914,957,542,042,303,352,675,498,084,935,392,
963,317,674,842,160,680,498,779,887,772,071,702,230,622,354,608,546,654,148,
040,740,632,338,361,273,550,547,619,789,945,737,992,503,799,347,840,380,500,
436,933,437,378,597,478,429,335,734,705,214,237,133,571,129,135,600,392,010,
260,861,484,677,391,490,680,062,011,899,826,681,142,201,709,080,631,312,950,
025,085,400,553,763,115,558,670,449,578,442,447,513,639,302,484,247,425,774,
869,354,467,815,478,924,002,870,346,617,930,353,639,156,123,462,149,852,825,
196,783,540,652,981,234,940,177,921,692,479,173,195,685,950,771,505,218,832,
844,889,321,485,250,644,601,970,601,492,845,431,077,009,794,704,556,432,519,
264,505,223,156,794,200,793,233,282,236,608,202,818,941,924,565,870,720,307,
500,219,643,394,613,487,825,004,739,935,273,042,395,452,479,798,090,713,690,
273,735,844,966,724,442,424,445,894,390,963,178,242,466,562,524,916,285,927,
975,886,576,585,848,250,422,046,878,399,215,543,819,458,166,876,537,051,068,
528,475,657,621,947,772,146,011,765,795,067,117,272,904,255,526,343,964,685,
686,261,640,448,066,226,379,560,197,162,315,951,875,453,077,128,827,098,159,
805,942,779,228,757,779,711,204,726,913,904,592,640,312,494,336,142,339,837,
802,310,706,916,025,174,289,200,527,535,571,436,887,465,321,399,537,602,893,
913,126,237,830,490,188,091,174,056,439,121,206,040,044,062,227,091,858,135,
008,824,013,410,859,673,110,687,175,918,917,724,938,826,306,741,384,672,857,
688,760,859,197,418,080,971,499,384,716,838,005,568,934,983,014,381,698,221,
201,358,273,140,853,293,842,748,454,188,402,959,237,587,264,511,565,741,538,
224,217,736,565,905,564,270,051,829,912,539,041,664,147,529,800,993,986,103,
238,527,798,857,849,740,439,566,785,545,087,627,461,575,921,837,298,157,179,
021,638,111,712,242,357,146,914,957,677,264,506,828,929,119,677,441,109,446,
424,103,741,304,335,392,712,683,618,355,023,807,262,545,163,804,745,547,474,
100,376,441,587,677,861,650,288,224,318,595,221,518,641,304,492,913,094,628,
405,003,578,232,495,165,181,001,137,352,381,013,699,155,451,138,335,416,694,
237,268,409,649,937,100,607,214,369,337,883,339,397,106,553,278,604,332,036,
207,356,919,029,912,503,536,352,115,259,417,484,785,040,024,723,007,641,526,
228,877,646,157,072,847,934,110,915,381,316,746,508,975,374,120,112,174,515,
673,243,036,124,826,084,229,609,105,790,892,721,496,248,496,214,661,641,481,
280,293,079,365,554,720,174,120,080,557,344,722,419,799,608,123,446,112,623,
895,479,074,140,776,505,778,936,159,061,718,233,804,723,595,487,166,747,768,
755,367,807,315,759,579,267,859,466,827,370,378,886,202,788,899,420,616,880,
928,211,421,522,953,768,806,253,938,920,970,771,001,770,052,790,600,903,130,
768,898,670,911,464,675,002,239,866,063,898,474,199,847,019,007,421,561,544,
791,875,035,287,953,123,666,972,639,059,763,370,530,310,025,270,806,220,686,
678,497,264,439,503,990,086,782,632,187,288,738,125,754,877,258,157,494,984,
233,828,261,297,448,600,772,979,780,666,392,947,842,041,706,214,086,216,399,
432,052,781,158,148,251,863,338,423,740,251,764,739,302,010,868,877,805,154,
366,152,866,300,496,292,997,352,106,916,125,960,507,204,222,027,262,617,200,
887,312,356,781,956,345,117,120,850,375,078,831,771,014,405,603,784,743,153,
649,672,923,033,436,493,193,113,455,585,873,538,428,961,992,589,292,873,894,
488,624,865,818,702,222,259,742,270,384,772,287,139,848,835,656,764,755,194,
163,535,165,328,819,207,803,609,610,598,071,433,411,940,653,453,129,838,003,
459,702,680,728,258,298,093,136,209,585,796,305,288,121,985,188,954,444,015,
629,801,569,316,938,522,007,552,574,353,944,263,675,914,345,906,759,236,531,
432,117,085,317,574,342,094,971,164,405,657,934,304,736,546,529,585,679,058,
752,360,159,699,149,453,977,146,815,100,158,133,441,114,687,961,472,832,098,
509,370,920,850,203,838,611,048,164,435,635,813,844,848,230,883,360,390,842,
155,902,659,135,093,346,461,102,167,725,004,525,383,543,218,143,537,621,139,
439,685,061,837,211,894,085,902,409,562,082,744,300,633,905,698,861,853,255,
698,633,702,283,820,823,467,605,583,163,688,701,326,520,767,711,003,875,654,
358,429,590,861,895,797,252,312,599,328,620,358,215,643,963,652,940,077,646,
126,937,060,437,648,477,915,811,678,672,232,397,961,187,527,310,655,094,323,
823,999,621,755,964,580,224,519,616,331,495,133,790,988,916,688,864,343,797,
325,668,635,553,089,730,919,665,742,101,597,437,402,822,346,876,407,126,213,
537,723,901,568,239,526,285,659,319,521,140,444,654,725,346,709,754,708,953,
097,118,514,460,675,428,038,409,729,821,674,781,770,256,191,158,432,327,255,
468,255,936,575,542,618,148,149,906,016,808,401,152,451,081,084,140,703,074,
978,216,734,602,932,543,352,170,721,362,503,876,125,887,957,248,088,074,512,
729,932,548,851,385,214,203,063,603,293,097,808,676,157,346,900,387,437,356,
851,693,997,366,105,697,564,777,682,462,155,489,711,298,880,094,187,213,517,
627,889,832,574,274,666,186,473,728,850,575,576,401,810,200,862,540,641,605,
377,797,062,740,592,910,723,265,596,254,676,780,875,462,157,818,508,012,053,
171,853,284,549,489,578,735,345,397,791,805,447,271,653,644,231,431,202,811,
058,396,688,346,151,312,545,028,603,169,421,073,611,205,776,991,040,616,637,
881,220,153,411,184,332,060,559,291,179,185,286,972,485,701,965,875,356,258,
607,759,882,302,928,394,388,654,340,451,692,135,817,922,834,060,717,685,392,
716,985,147,811,454,765,413,616,731,457,989,190,408,756,476,639,670,977,556,
326,192,652,368,869,506,784,761,786,944,104,845,677,672,999,956,317,885,480,
438,219,491,871,590,425,959,960,350,201,812,748,815,425,703,275,644,817,833,
722,446,643,776,107,665,164,192,909,917,433,956,253,931,196,271,320,727,112,
130,079,191,954,581,907,439,954,683,314,669,817,227,545,027,802,177,007,644,
841,982,051,614,914,714,133,596,393,840,411,241,685,388,787,741,099,945,872,
362,769,882,252,163,260,506,535,824,765,328,752,814,146,455,446,196,509,990,
595,975,649,554,926,839,562,510,257,387,438,030,214,122,181,175,336,290,584,
061,372,185,105,803,280,024,195,096,577,471,939,940,646,172,536,941,057,895,
818,798,445,619,138,325,358,657,112,771,358,050,792,616,996,765,120,104,042,
675,776,022,824,617,213,499,549,261,286,542,417,719,760,567,691,441,866,533,
155,762,550,843,403,826,782,863,665,169,292,844,633,935,853,905,740,292,336,
430,612,855,162,814,046,749,754,535,035,438,964,214,028,652,911,582,869,807,
907,502,295,581,449,364,851,314,763,350,517,428,176,158,773,995,814,088,284,
423,788,008,669,082,023,589,632,552,793,104,548,804,614,758,936,454,785,877,
613,403,968,187,967,878,946,319,126,602,954,525,982,972,836,812,684,976,429,
776,092,547,949,859,672,888,983,826,360,004,481,546,960,484,544,591,992,252,
459,644,490,356,757,091,506,316,595,145,859,298,295,425,489,755,698,884,677,
605,510,298,236,586,211,260,832,386,921,875,350,450,009,875,096,115,183,428,
361,170,304,955,636,102,990,427,868,110,443,882,853,023,804,117,632,506,555,
233,731,288,604,979,717,557,343,877,444,373,867,766,711,566,881,712,541,757,
266,189,693,871,951,897,987,784,675,881,040,826,714,484,954,991,223,089,777,
335,617,665,682,580,508,337,816,616,638,133,913,708,990,828,003,198,193,775,
459,294,401,389,219,775,766,849,377,456,620,092,836,200,203,246,333,163,916,
174,192,008,414,125,520,529,803,198,038,774,371,699,690,265,029,393,316,941,
377,388,673,814,333,158,259,501,038,177,956,287,887,395,576,230,464,102,230,
701,251,459,847,121,225,152,651,306,527,498,185,008,679,770,497,734,286,452,
074,782,426,342,586,784,118,195,381,712,777,452,409,864,745,458,893,782,320,
260,529,897,818,299,410,991,879,086,767,910,012,491,865,943,550,424,185,793,
926,919,448,895,586,042,207,704,730,336,407,783,535,731,896,350,607,369,789,
187,845,367,411,369,571,122,470,078,869,757,911,010,970,545,096,208,782,110,
150,571,338,316,092,941,745,961,701,529,513,603,735,421,034,240,565,322,769,
723,840,652,034,884,857,097,318,017,678,782,341,150,200,869,187,190,242,653,
232,280,417,163,305,385,882,700,189,559,004,428,793,363,587,710,402,395,006,
552,525,609,554,087,847,918,140,588,362,210,113,312,352,590,056,607,177,099,
234,589,310,935,772,263,451,641,653,732,129,402,546,370,724,962,615,792,046,
934,596,061,446,741,655,515,891,369,306,956,149,227,428,699,047,065,554,824,
987,673,802,857,284,547,825,968,780,644,594,068,637,565,964,235,312,524,564,
635,925,406,850,869,961,481,346,033,706,641,042,012,027,394,060,185,231,687,
917,667,121,773,128,269,465,447,085,288,482,393,811,577,233,334,904,849,459,
404,350,210,162,087,441,391,364,849,996,911,491,152,996,570,676,293,557,481,
087,271,573,293,559,974,665,929,209,040,138,178,160,595,827,096,962,926,212,
168,838,857,784,869,714,296,392,997,896,111,153,597,547,186,741,198,239,651,
848,835,046,262,185,036,950,857,885,986,277,117,180,375,937,975,982,672,061,
800,037,278,459,420,847,938,507,311,070,068,235,784,476,533,381,698,695,315,
120,136,581,852,216,149,723,599,133,122,588,259,658,403,667,125,795,519,533,
365,113,827,078,412,011,042,109,845,868,609,220,305,023,742,933,660,034,747,
685,316,437,348,509,720,023,095,998,683,446,756,429,598,647,880,486,902,783,
618,635,069,904,583,507,409,611,687,426,070,728,388,805,842,507,246,173,797,
913,585,261,505,272,346,826,017,882,852,603,130,914,418,426,124,398,581,247,
353,390,212,828,503,217,374,123,475,807,419,011,927,940,658,439,923,530,515,
845,404,418,142,766,462,632,008,345,607,707,506,421,124,866,941,720,609,035,
788,285,660,042,711,015,762,401,120,156,094,288,002,254,025,958,664,179,350,
041,173,524,424,313,457,999,769,788,640,500,068,367,692,832,039,244,039,909,
526,534,784,264,998,850,116,782,393,803,205,035,580,206,134,107,361,888,901,
426,355,751,851,431,160,960,890,274,571,943,093,873,556,581,194,300,844,193,
638,611,678,644,513,140,333,666,452,816,155,303,646,076,237,943,693,554,266,
774,029,969,471,747,626,631,732,912,406,583,290,953,488,927,758,437,008,135,
378,429,163,542,535,354,555,581,007,710,278,967,979,086,433,797,013,643,745,
148,769,180,066,702,650,015,239,591,323,565,245,607,682,912,282,899,309,120,
439,729,947,469,331,837,724,118,305,419,786,236,943,662,177,274,890,507,587,
082,790,583,624,598,665,536,602,881,713,460,995,247,880,572,581,191,901,612,
969,256,851,399,494,641,988,792,368,732,012,355,813,049,509,445,309,585,953,
401,936,833,092,428,094,510,597,524,882,037,595,126,427,626,133,229,476,069,
797,730,986,536,017,195,678,041,556,441,008,958,666,516,529,450,851,468,673,
455,976,825,448,977,301,458,941,378,219,148,782,587,361,364,513,704,406,272,
891,252,950,949,266,955,166,136,677,369,339,434,017,669,575,823,558,232,779,
908,699,827,346,142,583,678,245,209,153,827,092,913,308,013,732,858,636,666,
985,526,225,766,425,001,549,579,779,350,607,227,512,468,888,692,178,826,637,
506,150,700,661,923,274,380,359,155,348,474,911,852,476,287,901,112,022,914,
639,563,295,458,409,361,664,312,732,023,046,014,011,870,660,354,075,102,550,
596,282,756,448,921,497,970,281,481,189,367,724,384,649,140,717,190,459,877,
750,846,530,427,700,902,641,470,408,284,912,859,955,747,838,703,614,509,996,
428,338,237,912,648,352,879,293,499,593,751,718,592,318,045,007,177,727,659,
199,972,214,128,892,819,798,704,535,285,979,405,850,484,438,510,847,222,522,
050,926,001,762,643,223,419,915,135,109,440,037,300,595,167,642,770,661,354,
888,303,087,301,570,935,387,336,036,271,299,122,505,566,558,798,548,234,546,
980,081,428,320,683,882,346,664,391,214,970,065,799,851,587,841,452,161,002,
375,841,312,779,728,326,689,364,496,144,300,763,183,411,848,951,302,622,582,
844,660,540,068,782,014,242,245,029,471,780,300,587,169,417,496,866,339,943,
098,306,749,395,756,016,365,511,291,009,418,900,041,561,697,275,212,842,617,
700,689,417,049,203,000,130,869,735,229,188,243,960,713,488,833,875,887,818,
217,067,082,052,429,714,717,986,141,603,390,335,913,377,937,475,446,601,642,
607,663,194,109,939,899,525,700,741,881,825,088,535,083,997,196,474,599,366,
966,505,811,724,033,895,558,636,459,962,808,242,545,194,376,844,147,636,532,
371,224,090,980,394,279,917,695,017,665,347,954,509,613,354,089,642,662,785,
942,940,115,089,168,887,431,292,073,921,748,150,190,369,854,860,552,518,592,
842,380,436,025,140,318,144,757,560,887,140,063,581,030,391,993,171,871,845,
420,099,194,129,820,036,756,336,121,898,029,433,756,363,054,179,939,690,376,
518,213,613,992,509,143,340,567,064,779,759,006,078,418,834,584,731,736,299,
759,780,005,420,253,790,553,565,951,570,958,669,602,488,872,145,838,925,710,
978,988,610,463,919,476,868,926,087,572,048,975,536,692,518,724,311,956,855,
090,031,418,951,740,503,009,151,856,735,226,696,712,677,924,397,180,115,915,
102,617,806,469,064,915,225,017,897,842,299,875,688,758,009,087,412,401,203,
760,241,895,289,470,447,769,319,915,752,811,440,441,199,913,087,268,756,880,
601,910,593,181,949,938,658,574,171,262,159,903,997,575,536,806,484,148,751,
305,735,455,401,757,459,953,192,232,780,281,380,868,763,808,503,216,558,696,
115,846,517,211,534,980,440,964,090,576,119,352,053,370,365,340,954,237,584,
999,652,422,034,816,193,873,377,209,461,900,956,520,495,934,343,608,472,885,
118,836,808,445,573,331,628,373,943,037,659,584,276,776,461,150,020,286,525,
602,451,547,817,214,236,686,104,998,151,737,727,737,892,404,892,710,145,457,
827,198,053,427,148,263,383,880,446,428,555,647,061,152,150,088,252,184,267,
014,318,341,509,167,648,332,877,342,999,065,662,093,253,682,453,941,835,782,
906,076,379,137,760,382,661,950,698,970,000,677,222,946,261,584,904,968,413,
248,251,591,894,452,706,935,591,283,333,715,005,874,925,040,593,128,435,818,
810,921,197,660,926,944,639,744,033,604,942,450,871,810,805,372,369,148,774,
854,132,060,313,237,903,564,570,514,342,158,802,541,911,964,157,526,050,083,
454,566,860,713,576,375,952,599,822,342,796,790,341,434,071,794,531,834,474,
749,320,748,110,981,082,339,614,396,915,106,458,422,050,153,043,958,033,018,
565,079,188,234,684,274,427,468,328,232,139,447,462,455,552,344,144,986,206,
353,208,190,397,345,506,852,522,102,041,104,012,607,920,430,960,899,150,997,
661,662,716,679,854,462,285,294,015,726,914,651,869,731,292,324,616,046,697,
532,160,814,888,100,223,557,609,220,873,057,755,889,972,905,865,406,327,709,
793,699,112,766,869,538,488,961,205,530,864,954,831,680,979,414,602,248,452,
655,123,855,435,777,771,844,565,806,011,632,414,911,398,847,624,730,372,921,
386,390,870,169,611,378,076,320,148,983,928,037,930,261,793,776,964,957,053,
950,265,650,047,593,862,177,036,784,780,191,537,107,971,426,217,023,720,954,
685,627,442,656,552,486,795,529,098,242,177,669,470,659,517,342,608,680,951,
554,290,564,633,076,938,730,268,210,031,950,550,102,393,640,872,576,581,839,
914,926,779,627,383,936,730,382,685,820,592,817,193,627,787,827,987,722,979,
179,617,990,235,683,130,321,642,527,327,654,214,298,121,740,350,509,036,726,
175,177,261,304,731,847,352,705,709,675,355,186,960,232,476,548,146,970,582,
763,714,361,849,883,997,774,966,186,622,097,473,577,377,865,751,228,224,284,
044,794,214,216,564,011,881,935,532,382,580,342,977,513,230,445,013,283,919,
941,424,064,310,936,243,562,179,586,447,796,996,628,913,497,827,221,012,165,
937,154,777,060,764,640,830,570,820,570,075,364,207,185,801,228,541,340,225,
557,071,870,873,282,339,664,364,942,750,760,892,784,333,867,640,420,187,249,
247,030,908,869,618,561,882,200,171,825,588,879,040,557,516,979,136,621,378,
455,553,100,095,151,477,582,212,957,047,573,276,446,440,821,536,457,955,625,
000,957,596,310,199,295,768,433,746,248,727,458,143,962,520,733,663,507,286,
788,319,782,399,088,270,903,507,951,001,348,622,251,218,958,453,253,283,055,
352,037,230,605,898,604,916,114,315,344,417,316,382,439,542,157,346,315,961,
530,891,683,768,926,003,075,498,569,929,250,493,083,274,878,936,070,068,120,
362,896,314,823,617,475,887,830,320,871,622,037,722,852,154,107,987,513,817,
848,776,791,484,605,417,495,895,703,030,495,344,407,805,524,538,095,145,977,
527,115,949,865,231,885,476,576,069,825,738,007,718,780,882,679,974,766,024,
587,891,499,530,907,354,826,425,768,163,742,780,713,528,852,558,828,345,847,
428,912,368,447,250,522,040,095,566,231,031,054,177,234,577,057,735,249,709,
964,915,591,710,924,411,374,880,377,047,269,124,051,328,162,974,011,673,034,
064,159,180,882,563,227,509,932,766,577,840,326,834,236,460,505,461,178,818,
277,406,155,931,684,157,712,372,726,194,455,295,158,623,318,476,346,898,335,
030,755,086,682,905,248,624,555,282,300,539,639,431,238,854,925,015,754,755,
462,641,716,582,543,385,470,856,211,206,520,979,507,269,310,793,256,976,576,
081,823,238,050,611,395,492,588,585,404,214,048,421,503,722,226,625,329,039,
698,977,510,663,235,914,282,393,563,470,126,624,848,834,351,635,347,914,081,
630,098,222,247,105,101,142,156,841,537,010,305,862,874,262,480,610,393,745,
557,837,677,906,521,163,034,595,537,146,539,354,765,811,605,863,602,759,642,
351,359,310,295,855,592,478,272,952,671,049,011,580,505,828,327,915,201,569,
772,185,754,661,550,273,707,856,489,983,512,601,132,658,589,693,211,889,574,
178,409,431,145,993,149,881,884,156,923,462,334,955,129,907,325,972,059,977,
749,240,982,580,535,951,602,370,587,711,259,435,159,695,310,405,169,109,399,
980,000,108,520,539,618,931,499,061,827,658,228,401,359,791,184,631,603,801,
703,132,926,915,299,030,447,635,689,777,045,613,544,710,990,164,554,866,205,
195,443,805,911,375,877,145,209,602,931,240,026,083,625,796,053,954,611,579,
478,590,232,897,939,265,910,973,227,583,816,527,522,787,053,598,035,346,748,
676,315,787,095,459,971,520,953,371,372,669,695,233,904,580,262,398,871,699,
467,631,511,575,762,278,952,659,815,607,951,279,289,545,217,226,690,727,375,
787,631,438,990,538,128,358,100,226,074,295,920,701,686,574,339,652,376,812,
257,568,681,639,511,758,318,275,984,649,402,116,900,451,047,413,496,254,258,
622,483,655,113,258,662,734,303,971,269,544,395,192,422,718,683,266,985,152,
317,614,060,796,055,250,492,673,605,323,933,756,260,502,334,347,881,108,906,
837,350,551,761,639,351,459,109,140,775,235,276,537,959,485,229,386,176,237,
191,530,328,699,848,268,560,939,646,516,440,118,238,643,093,333,649,898,992,
442,979,206,865,194,566,082,480,691,963,284,964,920,036,811,745,359,505,026,
962,394,576,350,035,921,641,208,341,607,806,442,298,074,442,238,912,511,986,
377,359,250,850,801,057,477,651,381,388,768,120,156,812,366,126,984,611,358,
998,458,923,166,296,534,130,295,045,074,604,028,354,563,426,438,305,324,975,
206,416,855,493,330,619,515,312,584,832,065,289,324,919,020,177,986,017,476,
331,209,711,197,297,381,942,038,041,025,223,952,309,670,717,153,007,564,377,
733,113,053,581,939,490,942,027,203,090,380,140,933,463,627,835,358,604,287,
263,008,851,254,230,669,227,571,000,457,687,180,764,552,002,837,444,761,866,
719,216,148,479,145,397,848,837,021,069,511,534,411,401,767,958,059,925,570,
695,376,313,465,429,995,026,044,178,960,931,364,924,305,603,731,967,880,789,
052,770,971,308,950,941,017,519,084,210,438,965,914,053,512,990,474,006,813,
092,253,017,234,561,722,682,757,208,671,510,299,561,344,740,819,170,069,460,
161,630,526,894,724,257,765,921,934,531,821,571,156,310,223,634,040,638,911,
747,979,933,897,015,993,856,796,576,631,227,033,173,540,977,386,289,942,876,
928,171,701,752,702,222,124,079,474,350,651,658,080,376,733,160,191,746,938,
379,588,688,058,908,096,591,897,032,443,654,490,749,391,686,518,864,637,109,
040,914,640,961,356,426,673,766,656,760,228,909,692,499,621,230,430,198,976,
401,950,706,570,991,106,917,092,562,536,189,016,605,295,243,635,240,370,095,
736,615,191,621,573,175,224,195,705,624,846,685,044,631,923,448,740,887,067,
998,273,236,343,351,690,411,726,098,862,348,776,918,711,567,944,637,525,359,
692,761,771,499,385,840,572,465,601,572,183,623,695,158,672,229,651,303,695,
633,754,934,943,655,325,253,634,905,560,702,422,178,519,468,789,433,907,603,
407,315,616,634,331,791,220,933,195,630,353,208,323,467,406,327,949,673,547,
104,638,926,227,613,284,229,953,784,092,060,480,989,291,087,122,150,001,120,
400,341,988,619,028,275,060,665,913,907,373,032,505,558,480,227,040,085,043,
288,967,738,571,822,929,897,101,419,790,397,011,598,428,974,243,448,233,672,
195,321,734,785,546,612,520,358,912,136,784,129,880,101,390,873,649,283,447,
251,189,463,533,670,624,540,941,421,345,739,662,048,833,488,121,101,613,726,
848,592,966,717,322,118,693,878,654,748,492,476,661,210,500,694,175,405,962,
056,075,891,358,521,919,471,838,086,993,599,785,169,067,167,833,289,032,042,
746,492,149,816,679,885,398,467,305,553,695,268,829,704,348,899,678,101,600,
841,966,776,866,374,912,307,790,241,451,812,788,411,237,705,887,008,383,392,
267,015,449,518,783,113,297,250,106,033,244,695,987,099,108,110,648,462,809,
954,542,621,638,928,257,202,680,648,109,178,840,892,430,962,019,426,174,935,
867,458,171,803,923,334,343,239,644,301,301,257,115,020,142,199,986,053,086,
555,503,495,873,265,597,820,352,126,892,994,098,104,818,205,192,897,997,712,
822,793,614,789,167,459,582,091,137,019,418,978,936,813,153,126,600,032,881,
735,035,117,458,984,824,474,324,784,714,029,603,223,728,101,880,298,624,707,
196,244,939,585,618,430,585,793,743,893,826,064,226,128,399,583,898,971,258,
534,884,114,793,459,433,875,765,059,963,429,382,371,241,138,014,678,347,973,
485,228,997,117,053,138,401,170,312,849,094,019,011,478,653,719,099,924,631,
608,788,130,401,813,455,804,444,398,554,858,296,285,406,016,534,250,622,066,
423,037,869,107,726,325,265,884,994,001,684,478,021,466,130,912,154,218,702,
529,660,687,669,403,189,557,409,841,702,064,788,880,982,700,212,333,903,125,
963,070,718,431,212,748,094,792,746,106,242,074,906,894,190,827,280,125,482,
423,356,380,451,531,001,477,811,325,322,954,706,996,748,214,728,515,488,686,
960,176,374,709,399,407,567,573,559,832,307,180,022,907,261,494,744,123,618,
852,662,451,528,601,960,014,501,971,902,991,785,160,409,520,798,365,217,666,
899,401,809,059,126,645,416,513,710,976,127,494,560,666,951,919,446,160,692,
815,875,170,978,642,618,011,276,387,215,695,418,016,032,708,680,282,902,086,
000,193,759,449,693,451,197,363,841,576,506,670,157,200,901,794,866,173,364,
075,890,121,913,435,447,771,421,129,092,396,679,369,007,780,520,301,081,386,
242,329,298,157,433,498,657,032,446,536,154,897,336,581,931,108,398,786,939,
961,024,734,637,463,227,348,153,092,477,256,298,869,613,673,374,658,226,729,
079,557,885,594,725,595,455,397,423,620,533,293,723,619,740,673,185,813,365,
367,539,626,953,235,605,696,678,015,409,425,054,385,245,107,292,685,470,199,
143,072,469,607,754,241,557,609,954,382,827,034,194,984,983,760,234,215,719,
361,951,878,578,747,175,356,141,055,444,720,079,381,207,415,640,983,298,436,
425,769,062,465,653,989,118,844,513,394,809,545,863,720,996,194,411,199,515,
766,183,949,295,426,831,984,199,283,285,604,252,524,852,705,080,186,194,885,
254,127,157,163,124,986,796,130,972,701,660,994,611,468,873,684,780,623,913,
399,582,733,280,220,189,892,321,948,674,749,681,775,239,392,476,810,253,154,
933,641,454,887,785,191,603,144,055,863,376,158,690,610,202,073,435,730,258,
302,430,609,933,201,930,325,100,736,889,559,479,257,559,861,185,819,814,295,
430,563,681,423,131,807,321,951,811,524,219,137,380,952,982,412,062,266,719,
345,829,232,988,508,399,721,802,498,971,471,306,923,601,865,148,672,919,445,
353,522,340,120,180,571,972,961,593,442,053,933,146,061,694,891,538,270,734,
912,540,811,627,320,298,450,248,620,574,187,081,866,018,455,695,381,588,633,
186,874,926,642,193,430,619,298,407,917,256,169,802,504,925,154,130,085,782,
646,012,574,569,250,311,439,436,323,682,462,975,159,713,282,073,998,706,829,
939,827,515,293,196,986,931,761,235,759,216,734,043,063,150,293,423,113,602,
995,896,420,475,877,495,447,860,516,594,401,059,446,785,981,164,349,529,444,
429,867,003,891,527,075,036,595,857,664,375,593,755,695,878,819,609,450,716,
396,003,500,567,996,581,175,515,104,585,456,545,336,804,749,763,845,733,750,
028,069,395,800,130,306,028,891,219,659,213,942,342,488,774,894,988,080,900,
214,060,400,941,667,351,307,866,944,511,660,236,864,664,111,819,165,866,061,
710,297,848,625,275,924,877,631,646,742,203,654,263,234,356,037,841,070,943,
595,200,739,914,229,901,669,397,353,852,824,426,661,767,209,940,167,698,577,
038,643,686,395,311,627,400,097,301,850,277,741,415,532,652,114,696,675,812,
957,712,034,133,535,001,889,349,272,529,781,610,738,808,671,107,654,476,585,
929,853,824,150,404,818,613,113,750,405,196,505,602,944,972,688,524,338,553,
352,057,978,200,681,228,175,592,567,391,284,961,551,393,714,572,929,379,025,
782,239,042,353,990,892,888,143,815,042,865,416,830,315,192,328,205,824,049,
826,072,829,521,672,694,056,599,594,034,331,921,516,081,960,183,650,237,032,
077,728,693,394,443,191,209,746,125,967,790,218,897,593,454,861,101,212,726,
296,600,810,701,013,049,452,927,312,007,897,538,052,366,646,569,105,145,599,
594,165,342,035,968,440,834,096,797,686,964,226,632,995,741,631,767,129,797,
120,720,047,005,058,583,743,075,345,463,287,472,882,741,206,433,933,926,333,
445,434,002,290,563,974,032,860,881,953,501,297,465,545,877,131,710,964,150,
060,904,300,785,623,430,184,432,277,381,873,542,774,089,023,952,934,317,277,
313,682,822,761,845,712,283,899,740,270,804,316,250,057,424,348,722,070,630,
447,584,389,020,538,996,810,826,884,732,209,005,841,910,591,517,827,602,111,
158,209,975,963,802,576,182,370,801,520,893,877,506,757,552,188,909,165,888,
904,526,762,479,283,981,203,648,872,733,252,089,668,619,805,286,456,934,036,
116,939,774,357,147,704,169,820,123,050,092,748,400,184,754,002,709,387,954,
919,866,099,772,937,357,611,880,512,610,604,797,208,877,940,288,849,632,304,
508,974,276,572,906,548,118,219,022,114,488,777,662,562,237,793,000,825,204,
322,614,292,932,530,491,998,025,161,779,914,823,200,854,729,628,504,270,359,
297,569,053,300,452,172,718,589,258,503,241,994,119,192,010,413,834,399,451,
513,883,239,937,677,341,907,427,681,467,182,325,771,940,243,588,790,653,393,
645,570,343,695,435,854,635,444,379,433,952,837,852,907,456,316,708,992,900,
882,777,556,234,078,274,257,800,502,073,675,904,823,614,370,104,066,498,356,
879,222,289,919,020,391,911,245,938,388,901,334,135,441,990,400,370,311,877,
565,300,532,617,295,717,683,282,770,527,761,600,450,489,815,809,859,017,014,
404,343,713,386,624,317,057,064,637,125,699,171,364,542,391,711,806,157,566,
953,256,869,678,924,857,704,621,032,516,791,544,134,124,272,142,128,651,446,
375,432,392,209,037,943,188,044,026,062,617,444,732,558,896,405,806,479,166,
934,948,043,672,947,893,172,770,470,479,841,711,304,046,081,365,730,955,909,
574,016,571,830,369,778,523,401,305,334,373,718,963,113,137,150,084,817,430,
301,573,333,943,403,623,656,329,269,507,390,038,296,434,896,356,240,550,324,
910,383,332,962,623,435,460,308,122,343,326,089,565,035,509,069,212,736,882,
852,440,467,855,031,082,374,202,121,617,030,073,565,636,167,187,764,633,902,
221,886,301,015,344,010,740,537,556,259,730,531,893,249,268,797,164,179,214,
697,363,071,826,620,978,713,852,440,336,102,005,311,731,620,990,123,425,447,
192,310,818,297,065,200,696,506,802,332,051,515,674,051,276,625,578,786,181,
873,068,732,059,831,750,034,601,213,105,838,803,722,753,923,767,146,361,850,
887,591,035,773,616,610,768,132,895,138,452,764,481,549,849,861,917,318,409,
661,953,358,072,464,074,083,253,324,964,474,291,753,697,317,647,752,740,194,
601,349,844,120,336,301,910,838,256,452,165,395,548,254,433,568,247,477,809,
295,078,005,292,488,325,730,850,793,886,661,014,257,350,693,614,100,341,773,
437,366,120,269,415,147,443,300,647,770,578,356,425,236,631,709,124,297,065,
157,437,336,817,230,457,369,612,794,610,665,426,232,922,757,205,695,359,702,
986,826,252,336,289,392,759,644,415,869,545,353,553,024,023,110,999,081,742,
575,378,242,815,508,747,904,909,322,379,402,292,738,104,678,951,306,776,707,
405,413,242,808,900,427,130,439,198,511,330,620,337,032,439,336,630,459,977,
012,588,665,412,480,029,231,938,799,000,600,947,488,966,225,883,182,820,787,
040,762,412,393,821,365,342,819,779,596,209,307,248,158,092,543,286,279,186,
808,222,149,554,533,086,985,429,416,894,245,893,165,468,444,580,229,886,591,
363,567,485,469,109,058,312,353,776,929,620,597,661,222,017,039,618,368,831,
983,248,869,373,492,955,596,359,888,537,906,562,413,945,887,930,058,008,461,
892,526,846,943,603,604,028,411,133,269,070,860,267,997,901,541,456,878,155,
357,883,398,381,032,191,809,186,948,126,571,628,452,988,153,182,273,790,501,
550,086,299,081,549,377,857,397,812,282,303,794,068,104,924,328,451,677,106,
834,289,463,529,103,361,474,585,723,862,056,785,665,005,583,628,784,902,964,
238,032,228,389,016,987,253,581,756,425,213,169,304,311,275,851,234,947,683,
037,891,711,181,402,065,660,034,311,097,666,626,297,736,032,219,830,718,911,
405,130,997,271,595,038,839,476,167,101,396,844,761,336,413,321,151,527,132,
849,496,628,707,269,733,571,128,873,348,876,744,672,960,218,804,459,654,996,
631,028,360,398,845,218,701,243,319,540,407,371,894,716,916,528,003,446,941,
789,072,130,883,434,175,182,597,853,406,504,383,508,692,337,733,585,459,523,
924,393,593,863,228,219,172,732,772,681,396,040,667,253,200,101,264,921,421,
987,194,681,359,433,035,427,145,863,828,472,048,105,202,855,550,693,510,178,
921,157,160,167,020,175,812,675,898,420,961,081,812,493,692,508,714,050,103,
120,874,462,780,470,758,649,709,106,423,004,129,817,587,394,881,677,759,960,
058,069,283,964,339,895,800,426,631,158,339,067,482,841,214,248,439,826,073,
598,177,744,518,648,775,574,034,733,107,659,210,668,679,995,399,032,902,062,
028,342,020,577,882,017,012,830,389,886,665,556,037,086,632,535,603,920,556,
462,643,611,323,670,031,430,845,416,139,583,982,115,526,170,737,736,149,448,
513,255,084,033,131,466,119,714,128,661,586,152,542,992,005,805,258,412,007,
548,687,348,329,217,740,833,599,881,487,953,037,709,650,109,047,059,101,140,
486,828,693,655,219,590,238,038,631,411,967,476,731,665,705,228,804,645,826,
139,204,069,768,172,957,389,280,968,327,194,188,024,522,861,749,883,229,322,
141,057,957,370,115,486,602,106,140,210,191,146,468,554,466,647,248,602,036,
665,606,741,954,262,646,053,799,275,507,082,916,351,500,292,206,897,802,573,
365,114,372,181,049,663,482,675,991,300,772,002,870,913,485,558,150,330,914,
306,656,879,899,205,616,894,627,727,592,985,308,232,452,543,673,024,480,395,
991,594,365,480,228,698,025,814,547,818,271,454,518,499,890,147,551,537,865,
001,620,805,277,817,663,734,766,387,658,993,017,329,384,493,854,479,663,266,
188,214,658,242,248,452,404,853,874,488,603,037,069,658,270,501,753,130,034,
874,372,742,943,397,064,425,408,734,637,974,862,032,858,003,166,336,792,004,
379,293,821,962,425,301,604,456,843,517,312,560,763,823,335,386,580,403,281,
772,989,342,672,463,295,607,068,040,946,847,484,152,611,417,229,996,426,743,
666,031,598,167,794,801,637,215,368,369,450,014,047,504,267,940,385,126,831,
597,160,392,226,401,950,209,122,706,742,676,105,511,351,281,891,500,510,213,
693,198,963,425,624,971,012,715,879,341,682,351,926,107,679,227,235,167,408,
329,389,891,204,515,232,413,136,145,234,241,781,739,944,690,570,781,371,478,
049,033,804,621,722,899,550,773,830,043,807,945,832,039,747,865,291,643,724,
096,678,259,984,515,882,329,961,777,323,018,205,712,062,486,014,696,510,575,
461,407,009,267,961,323,630,005,650,424,731,860,162,297,603,817,536,273,690,
368,395,397,716,838,887,047,192,152,067,551,647,782,544,190,415,960,618,181,
999,574,665,220,078,946,640,000,313,882,258,678,847,770,292,495,682,284,809,
465,347,752,932,655,532,389,606,764,001,281,884,965,371,633,797,538,925,133,
848,264,171,836,580,112,970,922,009,550,883,348,189,048,199,587,056,632,241,
070,476,926,357,704,973,339,713,973,451,868,073,786,421,381,398,609,823,883,
005,208,292,685,701,668,620,051,792,167,413,478,850,253,461,574,046,682,364,
884,685,922,231,359,252,335,369,153,239,647,271,081,144,121,899,314,264,260,
774,108,545,390,089,379,611,644,544,985,988,977,086,223,728,605,084,804,575,
341,921,305,053,186,435,369,519,604,573,921,531,859,541,535,400,667,048,748,
279,697,970,608,879,598,125,579,873,983,657,493,311,591,334,115,311,946,859,
538,595,262,572,059,636,112,912,535,391,340,481,326,183,942,065,227,744,550,
868,865,877,912,527,735,605,232,675,941,992,367,096,942,361,018,779,958,483,
448,306,896,361,291,092,075,332,073,846,215,477,846,577,304,667,112,569,751,
793,158,366,408,026,841,581,426,044,153,471,070,533,617,472,237,033,243,922,
415,831,234,290,651,032,386,761,756,677,541,739,396,327,266,035,777,353,203,
567,223,523,839,295,371,238,253,732,249,542,465,736,766,932,620,809,437,077,
095,895,283,958,813,181,159,006,251,944,746,063,006,943,290,025,470,533,857,
081,114,586,790,367,225,862,750,421,464,835,623,086,792,915,278,415,052,704,
847,803,881,465,832,968,626,215,087,424,172,849,646,702,020,655,146,518,409,
581,559,156,837,926,464,402,483,964,496,046,303,038,136,109,452,507,698,872,
670,481,159,562,763,074,585,530,509,908,142,917,556,612,329,119,715,938,046,
981,921,261,091,630,479,052,077,981,940,641,024,649,395,407,993,285,209,313,
613,042,579,561,204,312,834,658,893,096,359,043,326,263,647,305,285,779,963,
585,944,778,291,413,133,360,747,606,220,850,717,057,582,311,867,182,960,022,
422,440,837,071,814,907,627,029,765,912,846,606,863,729,729,247,926,220,427,
677,968,358,508,094,633,918,353,186,694,262,199,602,936,091,546,089,544,549,
964,787,397,630,433,901,810,734,897,844,953,072,909,900,834,786,043,705,169,
890,104,045,346,843,543,402,599,655,931,095,487,849,953,452,795,301,400,296,
948,797,860,024,891,292,631,098,291,558,888,259,471,487,222,664,513,501,965,
766,009,510,500,113,085,366,814,838,444,323,722,481,746,422,952,967,416,188,
259,295,160,495,795,794,312,053,915,234,535,553,598,208,419,294,956,204,726,
103,917,346,745,207,441,752,539,050,608,549,247,929,508,883,823,293,941,318,
787,226,752,337,122,528,365,982,568,026,895,171,399,676,036,865,805,002,479,
652,413,460,500,799,148,128,680,555,204,654,405,859,026,695,506,659,358,556,
536,177,232,449,547,556,904,143,913,162,392,098,590,122,600,946,785,959,709,
365,895,598,104,561,853,445,780,257,929,316,325,111,235,623,735,821,734,732,
010,307,517,610,942,679,029,562,994,348,933,424,399,619,140,786,354,700,583,
421,920,640,426,223,648,140,651,991,691,081,083,520,779,443,054,253,448,220,
443,900,441,159,339,573,583,341,626,721,526,079,567,020,915,030,228,755,288,
570,538,729,246,055,812,577,816,282,404,010,786,224,513,365,224,834,822,705,
433,887,761,662,062,684,617,851,757,490,768,515,107,702,181,800,967,208,783,
347,235,075,690,820,951,546,679,646,569,809,585,759,630,647,498,918,757,898,
069,144,897,604,169,192,160,336,169,132,615,053,994,678,539,923,603,794,985,
122,030,364,465,995,068,915,900,469,452,943,201,191,960,885,304,575,694,460,
626,383,431,857,072,690,651,469,881,887,698,953,693,811,209,971,154,331,691,
115,964,245,674,151,556,013,450,354,308,208,150,624,248,033,168,110,007,665,
581,870,610,363,370,984,312,417,912,993,213,735,406,236,666,835,637,072,543,
026,318,470,696,201,015,706,383,764,670,548,369,302,139,068,885,390,210,073,
193,747,721,154,664,920,022,208,474,738,583,772,116,267,522,656,246,983,505,
556,905,246,079,439,892,308,748,768,289,274,367,429,315,508,557,211,426,851,
018,423,728,064,929,599,618,250,690,566,945,263,733,080,061,294,260,399,577,
640,423,014,995,022,852,443,462,771,985,840,723,781,887,865,161,857,157,106,
534,929,846,679,845,429,744,939,349,767,900,807,196,681,205,743,476,785,924,
253,610,679,305,610,997,905,616,679,817,050,364,413,418,624,896,970,820,368,
785,957,927,471,107,360,001,907,053,247,360,281,496,728,194,809,097,177,785,
566,099,671,626,518,626,728,884,158,091,434,088,612,910,897,427,415,172,623,
073,555,988,876,372,414,556,642,724,901,558,452,840,077,185,920,447,078,051,
920,389,236,444,457,618,654,747,697,348,938,788,043,883,717,647,695,759,417,
659,752,174,852,508,977,700,208,258,479,107,578,289,106,590,990,924,159,591,
730,070,160,393,312,416,821,761,114,223,512,159,680,443,960,108,913,070,585,
340,518,367,262,596,015,422,817,570,739,336,105,214,064,877,661,828,095,816,
629,952,994,345,257,901,210,994,920,312,791,137,314,255,989,315,195,724,784,
159,601,476,091,820,030,656,724,167,007,023,047,120,061,912,911,211,588,569,
007,360,385,216,525,935,475,734,908,870,405,010,667,738,721,905,981,717,595,
282,434,643,401,697,487,189,614,839,522,523,637,157,065,609,814,465,631,833,
362,178,792,573,488,495,613,343,533,380,016,702,664,014,650,334,685,434,678,
330,339,047,437,218,901,789,068,691,245,115,825,887,829,648,268,206,090,667,
369,256,082,326,087,462,145,080,139,009,444,206,156,260,316,688,523,506,232,
891,820,028,759,081,660,220,769,458,002,181,984,046,785,456,270,954,993,852,
793,647,858,787,383,394,977,529,563,897,218,918,358,247,952,894,565,389,914,
870,845,262,555,181,087,255,696,460,546,175,035,403,854,360,636,757,784,061,
455,738,494,336,041,533,322,725,564,244,217,702,554,289,930,907,002,203,767,
412,919,277,009,766,258,936,199,424,223,370,257,104,690,122,444,045,770,966,
767,080,494,277,432,665,549,532,462,311,569,195,474,220,562,511,603,096,803,
731,124,159,797,205,817,620,909,000,747,187,079,506,597,933,079,997,970,964,
897,795,764,843,919,554,552,914,974,738,982,049,588,275,456,216,207,296,558,
683,331,535,711,456,887,440,819,334,320,173,662,566,653,961,527,323,056,177,
010,040,568,310,993,412,341,002,898,216,026,873,744,214,785,281,505,233,779,
631,851,905,129,040,554,950,915,276,673,356,409,543,331,394,611,972,363,961,
981,380,923,209,333,409,595,799,347,602,627,600,914,247,799,497,022,736,202,
751,450,193,400,973,169,892,191,199,857,654,363,956,447,400,320,321,846,009,
425,459,709,682,621,926,090,302,299,414,381,676,103,521,248,889,341,776,663,
459,840,738,888,309,906,708,652,948,865,617,556,321,765,261,376,842,222,334,
946,568,141,872,893,411,243,706,856,857,464,483,364,373,492,109,898,487,269,
273,040,824,836,741,136,961,140,935,059,400,135,711,152,898,099,842,682,738,
351,369,480,237,774,181,328,429,517,604,074,547,701,976,412,093,064,528,530,
183,590,545,961,121,553,730,854,928,388,569,359,702,194,846,291,011,794,447,
644,526,938,212,856,665,948,906,209,698,608,651,765,135,208,365,984,494,474,
561,803,334,521,473,343,570,042,539,695,103,116,833,013,838,676,041,867,966,
226,901,320,754,711,476,586,194,575,988,530,429,493,431,571,010,648,263,892,
383,433,333,857,755,632,024,020,004,625,684,097,941,066,829,682,835,713,927,
471,881,360,251,917,555,771,241,331,055,776,848,364,696,590,192,624,279,743,
465,534,161,165,218,272,185,263,767,010,034,660,922,883,103,830,201,910,993,
173,527,054,640,490,728,840,874,782,724,151,230,906,312,024,336,540,965,209,
669,338,507,043,067,554,025,916,237,584,820,003,111,093,257,208,774,023,285,
225,744,762,190,555,212,460,100,338,832,331,432,031,991,920,389,764,614,252,
212,118,806,423,612,468,022,449,800,074,999,601,021,827,780,168,356,812,613,
949,111,611,104,319,946,687,550,458,758,051,385,981,407,661,640,214,823,532,
260,950,680,981,390,349,184,906,736,416,271,981,527,928,257,212,782,677,738,
675,755,045,054,198,882,546,873,832,810,520,949,175,527,489,905,135,289,112,
089,087,698,839,812,569,545,931,877,411,699,215,642,733,380,278,079,018,454,
412,757,749,978,027,981,788,443,909,423,482,469,158,911,335,479,063,075,223,
880,153,981,830,927,282,330,650,556,071,904,222,788,107,511,604,667,477,993,
017,506,132,441,343,222,481,094,205,734,250,343,906,206,694,709,763,995,452,
391,261,423,554,845,567,305,770,441,120,205,310,234,930,608,386,222,014,523,
858,834,186,853,486,844,776,528,075,909,018,255,151,314,851,931,886,247,164,
156,479,071,507,146,662,665,206,789,707,022,423,728,519,464,575,930,331,724,
063,079,114,477,917,734,672,276,383,521,630,346,692,544,165,780,123,329,358,
632,856,674,266,093,101,847,096,273,695,178,680,633,101,900,846,071,519,459,
934,877,302,790,566,075,026,638,978,615,514,093,840,784,033,369,863,616,779,
868,678,953,589,167,206,571,570,473,223,944,668,677,542,824,809,716,733,285,
520,515,991,426,389,088,644,136,793,153,571,706,049,140,475,898,267,549,855,
878,280,819,274,059,272,020,010,004,948,849,385,746,734,265,851,102,831,701,
060,374,119,696,501,767,228,513,411,541,265,906,843,366,775,816,142,896,335,
430,757,653,956,511,698,287,904,557,586,867,945,502,449,729,419,621,739,120,
874,430,702,394,220,732,895,535,327,458,282,161,706,072,382,250,728,452,351,
340,828,155,867,677,904,066,114,860,357,005,407,951,829,558,214,937,506,758,
396,257,809,715,199,800,847,712,499,357,281,901,085,088,232,996,026,828,700,
435,681,622,150,121,045,401,748,890,466,680,554,740,369,074,921,930,939,745,
397,042,038,555,807,382,792,060,287,878,093,078,951,248,132,838,928,705,735,
624,529,920,148,053,078,941,877,563,502,585,165,094,700,569,304,452,494,205,
499,890,926,794,597,890,207,097,788,202,385,549,482,296,667,151,298,032,421,
797,052,582,354,701,495,984,878,287,949,245,257,655,329,908,864,747,020,162,
316,486,232,518,156,187,067,216,003,587,934,039,611,403,222,404,554,109,028,
132,355,143,958,416,471,223,040,692,495,382,015,295,031,169,183,876,681,141,
580,485,927,539,495,907,922,595,887,044,373,115,625,405,975,104,931,900,727,
842,030,723,707,467,745,484,675,681,291,878,332,787,222,290,903,973,327,054,
293,209,113,923,620,666,005,868,249,121,931,574,273,415,948,056,408,894,814,
401,622,569,853,812,113,309,651,872,414,974,906,999,725,114,910,324,417,044,
250,960,938,409,154,949,910,879,414,624,921,227,483,364,027,786,912,781,966,
552,395,450,600,263,596,917,242,340,258,511,501,407,450,160,757,204,328,555,
639,807,465,524,720,874,246,821,542,554,146,282,706,540,040,658,092,198,016,
131,927,393,234,696,182,806,927,509,656,518,069,050,116,651,956,050,753,325,
584,216,841,691,846,900,422,637,952,457,644,222,575,190,702,449,093,131,316,
796,218,292,204,518,894,969,462,494,330,842,861,378,234,317,199,169,680,801,
171,128,983,580,700,150,956,296,472,931,120,411,206,345,779,864,709,796,599,
016,619,685,834,775,616,448,616,082,386,969,896,318,742,670,398,583,582,648,
651,590,225,205,019,829,666,029,612,284,566,452,686,512,893,352,395,463,830,
575,450,549,494,782,377,461,532,113,973,544,410,040,153,965,793,910,539,293,
080,752,093,797,962,209,407,705,338,705,670,754,589,849,095,788,669,438,420,
290,063,343,799,156,825,540,349,879,766,010,963,971,821,659,588,272,721,085,
566,185,702,315,191,367,337,172,749,018,612,789,675,230,450,611,710,134,507,
107,031,951,187,750,557,534,909,281,569,215,615,970,181,210,685,320,039,156,
584,310,177,691,582,341,699,476,834,684,016,701,856,711,981,003,538,201,310,
746,928,680,137,039,781,287,270,127,816,401,413,626,564,910,341,797,987,251,
761,264,260,040,030,174,475,131,737,310,795,438,708,323,259,893,742,114,206,
709,403,442,830,556,915,965,393,458,003,946,045,223,174,909,476,717,251,712,
484,834,804,086,275,491,484,114,050,087,123,294,328,589,927,625,107,183,818,
380,381,946,429,759,713,807,306,570,014,176,638,451,674,731,269,789,174,239,
356,764,370,274,573,999,849,966,406,031,701,184,774,473,562,494,009,487,492,
284,117,077,236,321,241,188,112,826,527,009,621,613,204,569,448,875,452,027,
546,027,423,670,236,246,965,139,501,580,474,222,221,132,918,184,891,553,003,
555,062,812,519,417,448,501,150,475,461,290,572,804,379,342,150,022,705,164,
303,032,116,376,142,665,693,369,515,513,152,267,224,200,810,567,254,096,524,
700,921,970,356,980,200,867,211,645,145,964,447,775,706,935,619,864,325,151,
092,208,500,081,455,328,441,187,608,023,895,354,258,705,854,848,926,910,549,
908,277,273,950,212,272,108,142,551,300,947,427,778,878,339,980,152,293,770,
538,938,566,160,749,616,205,676,853,194,768,004,739,576,749,317,796,583,072,
842,741,835,392,256,378,772,016,901,800,504,217,655,550,981,382,053,108,320,
117,571,767,492,106,334,470,526,198,380,260,348,289,956,086,719,790,689,197,
555,935,733,300,220,735,028,316,900,135,260,510,600,394,877,555,027,370,891,
307,556,528,874,102,965,949,936,886,788,843,919,220,491,299,553,708,412,007,
793,782,823,811,102,438,202,821,043,403,046,118,072,444,111,010,224,697,075,
754,867,469,870,956,564,151,510,943,871,155,247,111,995,088,914,820,526,040,
682,206,784,656,852,548,323,822,733,352,034,327,132,845,873,405,863,201,611,
180,284,022,543,718,871,226,495,245,721,058,265,793,806,330,015,250,594,257,
030,082,379,798,479,355,118,635,156,870,532,973,873,804,463,924,767,907,186,
337,158,594,563,462,735,357,827,336,096,907,806,104,549,007,788,130,506,540,
310,035,503,507,708,001,066,996,126,301,152,913,753,037,718,616,442,534,946,
903,534,741,742,477,112,130,452,669,172,832,911,513,992,626,290,220,159,992,
526,279,965,624,458,445,255,235,028,984,721,359,101,453,912,610,753,091,103,
235,317,431,232,978,844,487,546,813,527,050,385,032,430,019,955,621,645,734,
947,386,837,009,403,071,146,300,835,826,453,858,008,837,570,563,937,541,688,
223,641,149,083,705,701,339,655,567,850,829,453,690,028,236,170,174,719,945,
327,991,628,567,335,192,721,021,037,041,673,527,266,912,605,977,807,291,031,
323,864,445,995,851,618,782,819,644,869,358,413,318,799,553,320,618,702,382,
985,114,786,865,937,358,223,938,828,798,925,038,719,718,320,373,158,700,504,
151,699,437,527,172,906,851,972,314,425,084,529,019,025,999,624,649,893,832,
851,419,086,336,776,064,672,100,404,695,450,597,161,815,261,114,712,368,600,
158,775,952,635,268,971,053,361,425,655,361,963,177,372,375,779,613,777,390,
852,067,834,479,073,413,199,194,745,693,761,551,443,159,737,311,622,512,749,
772,487,631,642,149,431,656,104,491,714,845,586,864,143,954,446,452,664,242,
061,259,280,982,523,082,805,235,126,028,984,066,806,583,738,866,738,742,466,
940,819,279,747,737,624,994,749,540,678,540,591,036,477,604,834,988,705,416,
924,357,997,446,923,076,775,329,434,422,217,673,724,283,164,645,104,051,136,
200,108,475,023,238,238,158,042,985,715,148,147,351,444,118,937,199,240,689,
015,722,917,421,526,928,138,466,822,682,380,202,013,375,423,183,621,857,262,
978,235,795,639,519,794,133,975,438,599,977,494,941,224,360,477,270,566,356,
679,334,539,161,651,923,244,731,742,881,812,989,803,696,735,728,170,499,097,
338,539,189,198,100,781,549,136,972,432,705,753,424,100,230,684,763,568,929,
438,141,757,729,151,163,843,690,078,430,579,626,536,680,338,592,727,104,804,
183,324,063,943,874,492,710,166,731,133,877,344,499,146,779,640,700,807,052,
367,438,509,743,717,928,108,526,339,453,185,314,837,370,894,448,796,531,831,
320,355,134,993,341,518,094,824,612,274,007,757,782,557,211,411,508,406,521,
211,616,079,714,745,469,959,405,059,103,491,460,822,126,449,902,839,450,628,
108,325,917,509,214,885,597,921,650,076,078,407,771,158,416,375,451,551,586,
536,987,211,354,787,239,126,441,486,888,808,096,512,729,875,441,405,147,917,
135,147,533,778,082,953,212,460,220,331,274,198,109,605,043,716,839,139,103,
706,039,870,732,287,330,224,998,056,409,735,880,666,156,723,192,650,479,599,
678,066,788,195,933,791,093,402,323,382,883,549,076,435,347,845,313,075,519,
532,323,017,233,425,069,880,550,360,868,427,607,264,472,919,093,464,053,569,
371,287,039,383,013,033,424,461,568,979,030,784,007,938,682,000,089,471,580,
719,653,348,058,183,472,914,068,675,689,350,180,511,195,035,114,771,092,343,
714,021,929,020,217,944,253,818,244,473,343,534,076,243,177,163,552,477,914,
016,155,551,598,566,513,683,916,992,915,489,425,666,046,847,715,004,387,531,
524,046,742,781,469,453,337,422,560,472,028,099,955,717,906,007,870,709,829,
422,495,159,634,667,436,009,212,305,755,955,851,474,476,831,614,168,350,556,
035,874,062,610,235,833,756,949,425,836,106,929,253,308,763,473,036,705,275,
767,617,709,811,094,954,268,054,768,387,676,836,064,264,998,054,756,749,883,
205,547,855,488,315,711,453,389,071,473,694,086,971,758,707,709,125,116,279,
990,052,216,539,411,473,586,175,881,594,534,286,381,666,164,619,502,250,912,
092,598,751,472,226,802,102,604,550,304,117,025,385,631,745,229,844,557,356,
744,279,665,556,385,832,734,546,932,328,908,609,083,028,684,819,346,507,826,
388,178,821,263,464,303,443,586,846,844,207,370,783,744,545,316,020,633,365,
248,282,630,073,512,991,300,477,741,379,400,471,402,628,009,402,909,595,712,
564,953,892,948,314,054,041,173,919,502,566,944,823,570,110,243,973,328,023,
046,440,642,547,386,347,969,401,756,040,459,690,667,164,235,911,364,846,735,
415,884,754,901,477,260,931,857,966,444,911,145,023,978,642,958,467,792,895,
067,847,731,972,639,127,515,600,074,047,854,476,917,049,009,687,868,112,212,
012,859,428,872,031,529,312,719,138,869,715,885,813,925,330,429,750,400,997,
851,251,715,751,270,571,205,421,149,832,375,109,161,403,182,601,957,553,330,
790,180,046,543,678,098,059,975,702,659,121,984,502,118,791,036,195,715,822,
746,350,869,208,830,122,915,103,250,278,707,224,297,284,959,141,838,569,147,
603,792,335,127,519,124,395,155,433,979,837,069,930,630,939,436,723,865,688,
053,566,427,992,799,177,052,488,589,022,554,927,279,211,671,553,064,174,897,
148,967,394,425,513,269,311,315,920,474,990,802,463,202,522,087,667,526,841,
644,656,401,571,380,446,058,488,871,136,537,474,890,415,084,107,484,689,332,
533,990,444,014,077,150,526,076,983,004,955,390,123,568,171,634,314,896,246,
668,627,974,393,897,008,148,018,316,027,284,907,568,012,947,187,772,099,050,
528,971,962,067,690,893,753,277,138,104,947,917,330,782,238,382,022,685,232,
732,690,971,131,895,060,432,408,965,406,364,527,796,438,462,517,154,075,621,
646,585,027,482,736,811,474,998,609,351,911,390,719,153,733,726,792,631,005,
367,509,984,349,241,871,859,111,395,070,844,369,085,011,316,246,835,937,595,
612,528,624,336,935,448,923,774,450,613,766,199,736,713,110,292,783,044,390,
759,381,906,006,654,795,977,683,857,058,660,265,546,127,400,961,760,415,688,
944,042,535,494,926,111,249,289,629,437,925,626,974,563,702,135,819,446,452,
986,710,918,648,901,149,995,544,442,523,733,139,257,515,538,839,525,146,027,
608,674,190,433,595,353,777,938,373,506,218,023,691,262,967,474,059,790,385,
188,958,424,328,959,903,521,962,260,718,225,146,796,677,426,731,541,799,955,
747,130,286,624,911,002,996,683,382,499,824,497,032,606,391,457,213,732,278,
974,192,570,756,674,297,562,983,205,527,970,983,992,823,444,550,094,832,155,
546,068,352,212,632,694,992,955,458,596,838,642,055,843,705,148,051,370,009,
400,964,978,090,877,960,721,999,590,465,113,278,904,059,458,950,407,551,694,
555,238,099,216,856,079,911,277,318,181,739,799,178,953,987,749,655,394,051,
139,894,001,356,211,689,316,842,712,776,970,014,952,991,676,530,499,723,415,
162,124,370,791,697,465,077,167,190,790,404,707,199,108,942,743,142,810,445,
639,678,064,565,302,695,357,612,760,401,654,310,612,806,455,034,647,439,339,
362,796,381,710,550,472,369,779,137,412,143,047,054,289,830,362,686,117,400,
574,710,515,040,130,794,627,531,829,617,376,964,096,251,000,162,545,239,519,
962,726,886,431,286,223,484,094,171,460,972,933,392,790,822,197,616,434,056,
734,178,937,139,176,393,715,083,337,717,010,450,692,192,259,733,605,150,760,
433,022,446,364,067,208,401,519,200,665,072,053,888,287,250,343,615,405,283,
173,971,217,998,640,468,898,636,873,158,164,335,345,079,260,667,079,161,072,
124,744,424,750,894,703,385,871,454,039,785,248,078,288,345,064,468,501,361,
651,416,955,020,648,989,461,508,039,581,930,973,401,064,110,987,125,505,023,
926,612,499,721,507,389,603,530,402,090,784,106,776,520,301,756,097,908,342,
163,123,524,537,680,460,925,945,599,780,435,003,907,780,791,646,584,912,788,
937,538,074,812,469,016,993,797,105,122,869,979,439,271,392,293,785,101,035,
556,447,886,358,258,076,418,549,948,662,927,751,270,726,236,835,003,379,583,
137,204,698,898,659,810,921,640,726,461,656,518,199,446,115,239,363,565,475,
339,333,562,664,605,778,563,860,568,842,916,622,589,071,805,582,896,509,292,
129,160,420,946,073,724,002,818,458,658,868,049,529,191,062,597,379,539,259,
175,151,899,304,002,003,286,613,470,254,158,016,139,073,235,951,063,411,532,
428,263,672,553,872,096,858,989,023,785,823,376,521,734,886,622,056,276,953,
844,229,689,713,615,686,834,500,992,362,335,692,949,586,741,206,586,812,403,
786,454,493,371,232,506,387,874,515,898,105,829,133,432,809,814,495,010,598,
967,314,532,310,638,989,184,517,289,249,000,801,399,464,739,940,934,935,109,
301,518,684,674,290,518,615,964,844,680,868,213,243,878,941,715,706,247,812,
793,067,654,441,378,162,243,989,786,229,451,345,009,133,400,455,318,805,932,
611,327,767,273,265,016,589,652,029,792,242,082,260,521,103,137,450,231,222,
441,575,674,795,942,762,231,417,857,645,766,471,425,118,230,936,650,875,087,
390,267,929,742,160,642,937,215,744,499,203,073,914,883,186,690,704,195,868,
955,080,272,535,187,829,569,109,705,885,654,907,677,274,731,621,584,734,428,
145,737,841,749,122,913,255,323,748,193,568,986,791,208,872,358,297,023,338,
010,216,058,195,859,332,735,439,537,010,901,047,514,785,304,204,442,201,185,
650,813,048,635,155,484,800,607,515,144,231,146,292,917,027,060,110,299,372,
993,262,000,895,316,253,548,115,504,815,160,162,775,811,274,709,569,338,983,
323,756,029,309,334,222,920,275,383,510,725,330,765,932,765,841,862,469,631,
196,057,556,298,535,605,544,794,685,383,529,832,255,295,688,055,202,808,119,
841,477,538,688,177,560,910,233,648,080,755,212,761,488,724,040,144,898,267,
253,193,188,000,843,265,238,673,224,522,197,890,207,839,091,501,048,155,122,
884,858,575,854,838,991,495,540,597,926,636,979,169,583,598,291,683,120,545,
361,044,651,982,938,359,278,895,240,302,164,162,072,452,294,336,494,518,449,
451,808,755,639,514,626,427,187,617,485,898,167,782,631,892,819,316,860,821,
893,399,476,664,348,222,365,786,471,689,365,509,846,955,412,322,198,396,870,
399,493,939,558,243,136,355,118,191,357,022,126,659,391,223,814,782,433,786,
918,031,452,591,922,574,458,789,142,952,515,565,925,267,992,610,818,598,082,
093,869,109,175,719,446,787,626,598,740,664,694,357,011,005,716,508,075,210,
167,491,608,059,126,914,412,989,363,634,042,683,295,513,298,439,357,987,950,
243,324,517,222,694,411,930,884,579,762,649,715,312,688,042,698,504,677,319,
484,368,136,855,987,100,429,366,316,584,551,483,758,400,399,938,222,692,450,
750,403,631,941,992,526,741,380,779,460,334,430,315,359,890,676,002,040,568,
727,460,551,749,976,906,283,146,333,332,055,909,534,193,789,350,793,606,177,
587,276,986,282,784,058,350,529,849,895,425,474,782,502,198,140,284,826,205,
536,383,100,399,933,911,819,691,209,464,544,796,708,103,320,734,830,642,129,
568,202,320,888,523,412,127,814,463,503,884,302,863,918,601,630,255,692,669,
036,204,836,947,972,777,235,901,296,277,940,596,869,361,191,092,256,651,476,
570,473,495,234,485,454,892,119,144,789,857,184,365,485,571,970,246,541,692,
557,360,751,703,417,466,491,459,629,768,828,743,556,334,376,262,959,538,547,
127,034,125,007,473,715,908,813,948,108,100,855,214,955,780,620,412,349,499,
198,983,007,055,180,107,154,702,730,017,910,499,894,254,870,964,532,384,349,
813,214,804,947,516,278,533,806,322,081,731,872,305,647,071,205,921,833,462,
532,590,832,994,743,119,684,931,465,682,637,005,192,677,157,078,342,713,501,
699,899,159,613,645,377,284,697,814,005,409,656,194,521,025,031,878,786,845,
947,547,570,407,857,921,215,806,188,984,039,907,559,745,134,103,855,302,606,
189,043,405,261,737,816,326,066,957,935,234,085,341,167,983,951,412,485,404,
809,134,256,620,214,371,831,345,819,342,493,436,322,117,190,899,812,236,444,
756,455,565,370,581,138,556,386,749,963,313,572,736,288,005,886,987,533,269,
665,685,873,419,256,221,143,112,287,688,244,661,629,967,614,107,384,832,181,
825,630,515,346,203,403,001,098,096,329,341,591,057,951,926,355,942,733,894,
206,287,799,374,618,207,080,433,957,442,756,981,102,805,026,688,824,602,493,
428,020,582,226,805,961,081,878,813,750,377,903,042,535,062,734,434,512,816,
981,503,885,618,758,566,255,131,984,789,160,615,814,174,140,838,059,505,765,
302,216,733,109,457,676,927,248,056,472,983,849,143,565,171,604,559,963,408,
499,707,934,636,622,232,309,477,685,257,253,376,176,307,079,364,628,753,977,
442,145,424,805,561,177,920,354,902,989,370,733,560,028,822,028,837,609,428,
235,594,152,164,922,033,148,432,774,546,059,452,370,889,976,505,377,863,358,
098,000,081,171,754,616,724,333,305,663,571,046,500,216,124,102,233,641,572,
106,258,525,875,321,134,311,466,031,561,555,917,667,360,397,973,859,617,186,
611,310,624,989,415,172,394,517,169,557,293,596,268,773,587,465,463,852,837,
927,072,578,249,349,438,520,548,309,526,367,097,003,814,895,756,973,520,501,
978,992,053,304,637,342,652,998,377,898,143,004,452,369,537,704,918,544,347,
504,887,492,147,846,727,009,639,916,028,929,867,240,748,256,766,252,115,639,
424,177,540,970,239,690,249,786,322,736,799,412,999,556,899,720,520,105,956,
925,236,638,281,015,174,012,248,828,759,524,003,193,241,168,533,543,043,784,
313,411,003,598,549,023,697,959,034,602,051,961,902,901,985,437,452,112,821,
380,155,018,467,021,916,778,601,602,198,066,219,038,795,158,430,184,350,628,
129,197,074,582,810,904,553,890,438,012,492,803,051,262,263,429,363,222,662,
802,749,417,433,871,564,164,984,584,155,435,891,181,407,243,482,449,162,436,
277,341,438,132,523,119,397,070,100,888,026,695,418,051,545,312,974,161,031,
404,210,064,197,890,235,315,228,186,809,124,781,204,932,757,894,347,425,557,
386,463,093,556,134,934,453,380,405,379,858,362,968,303,830,763,723,911,266,
581,534,883,371,969,847,513,905,676,168,510,978,094,958,783,713,362,872,325,
644,235,031,718,099,834,831,360,806,765,069,987,060,762,513,499,052,824,084,
659,880,439,384,863,773,167,056,822,359,694,057,201,578,533,379,989,424,709,
504,151,040,097,359,236,090,876,786,678,037,197,273,891,622,700,466,822,116,
896,494,503,144,890,160,355,719,443,216,308,446,248,791,828,058,531,165,618,
153,132,113,499,156,402,841,804,560,457,697,940,993,474,729,884,086,153,710,
912,870,691,598,856,160,073,360,470,425,001,352,517,937,947,942,381,513,770,
792,982,282,509,159,695,621,917,249,420,754,373,294,669,902,424,148,608,674,
928,402,588,647,312,757,332,710,729,035,269,076,404,922,669,839,969,247,218,
411,041,647,353,439,906,415,683,429,356,120,115,697,679,941,866,052,656,162,
525,741,088,368,309,660,301,178,647,706,046,580,857,105,427,505,880,483,351,
698,171,873,816,100,446,325,087,738,304,362,955,022,025,777,791,629,653,459,
779,030,862,041,123,940,127,839,361,885,812,840,835,159,903,638,127,115,584,
173,418,281,970,164,356,584,988,618,591,556,603,423,172,822,663,452,031,600,
749,835,176,256,713,719,902,874,274,835,184,083,682,886,724,725,973,913,549,
082,081,663,184,185,491,732,263,938,074,277,268,316,247,075,551,314,247,133,
943,319,422,173,602,188,211,850,829,782,320,435,662,503,037,456,473,145,793,
941,559,759,489,940,204,175,980,734,729,138,678,807,563,991,860,414,117,845,
502,364,682,702,229,730,300,036,997,504,488,861,483,605,953,582,134,188,933,
911,728,636,276,791,562,087,773,830,450,641,958,656,675,813,152,269,355,536,
213,087,481,893,172,702,276,930,846,824,238,995,964,981,193,509,315,005,264,
937,915,692,284,865,048,967,775,375,017,013,814,712,118,548,514,594,241,451,
881,308,978,595,065,403,483,423,846,265,011,930,372,614,508,947,210,461,010,
181,419,266,222,325,158,105,281,839,462,097,325,610,053,531,083,536,527,915,
690,186,511,427,130,120,284,396,111,471,683,124,431,574,821,582,539,379,275,
723,247,303,097,782,010,476,237,879,622,289,433,386,356,908,638,535,227,134,
263,233,003,337,916,621,419,847,088,921,756,584,645,605,858,040,193,343,650,
889,989,884,278,833,663,915,525,141,188,601,448,481,048,112,181,292,632,184,
722,215,636,540,848,729,947,924,259,787,305,527,041,749,705,626,686,401,665,
566,193,125,934,805,194,126,559,093,071,074,033,964,969,402,842,105,849,588,
348,794,058,733,191,372,604,855,641,774,482,212,019,151,372,307,439,016,025,
676,835,068,243,947,069,979,942,044,824,008,298,434,255,717,818,068,017,799,
900,048,184,269,839,789,229,863,956,257,729,023,704,028,329,682,698,537,932,
955,938,846,885,933,469,564,499,236,244,672,970,531,197,043,628,163,151,243,
619,176,886,715,231,734,414,022,109,263,614,345,585,468,206,952,447,134,207,
078,971,811,589,861,524,648,921,522,851,890,236,302,293,322,524,415,587,683,
126,280,073,297,273,215,286,446,860,732,169,669,378,180,786,799,461,576,855,
502,315,145,250,758,328,179,330,961,843,266,429,964,744,145,565,796,056,888,
383,689,339,720,747,005,249,904,084,046,491,777,804,600,149,102,458,530,769,
373,696,245,463,369,356,212,219,445,171,097,990,550,259,533,122,770,296,331,
990,205,206,879,213,660,164,274,806,899,439,701,272,461,956,029,216,815,582,
589,920,655,278,587,989,983,300,104,384,885,977,810,514,234,502,597,324,026,
942,965,371,560,016,787,292,663,468,471,909,533,491,593,282,711,609,464,638,
208,374,669,190,102,529,369,004,730,595,102,431,833,922,764,607,160,829,566,
731,837,114,101,468,040,287,996,755,608,221,061,776,263,116,981,074,054,510,
599,021,478,504,727,232,588,268,456,548,623,897,200,653,903,817,845,725,404,
038,771,822,655,224,247,171,010,631,008,947,180,579,238,410,889,657,202,092,
977,530,117,191,336,984,556,918,698,235,412,604,795,406,474,927,920,632,186,
894,730,754,483,030,815,935,842,438,345,999,127,905,139,536,881,126,010,982,
851,659,834,753,925,478,123,473,305,517,995,444,267,824,288,198,024,076,730,
691,485,258,316,139,494,805,930,897,895,018,476,399,777,868,835,538,753,944,
693,721,364,832,382,420,767,197,832,747,338,668,452,856,041,670,113,420,490,
673,331,679,558,495,831,074,860,571,946,074,056,759,189,059,185,269,952,963,
860,132,101,266,644,822,346,511,578,734,677,615,883,332,035,095,538,972,946,
604,048,957,127,729,715,068,374,431,633,858,640,490,046,606,639,736,908,360,
959,366,457,114,730,026,335,695,426,083,034,120,127,767,466,796,225,763,388,
125,610,596,088,998,464,534,051,122,578,029,455,770,461,872,025,947,328,432,
103,289,978,897,042,315,363,444,669,542,537,457,580,259,236,264,874,243,554,
433,088,504,275,579,045,720,842,186,684,422,067,019,482,912,425,306,660,796,
176,106,501,321,248,726,851,777,060,510,733,263,677,473,039,342,344,204,235,
246,112,659,070,865,698,516,146,174,535,865,751,035,198,659,397,524,002,382,
045,905,863,870,504,542,042,812,696,421,749,919,557,858,404,547,227,846,073,
120,561,914,729,080,124,413,823,403,393,076,769,153,720,300,878,028,549,234,
822,883,448,704,048,964,643,596,314,338,907,430,015,216,099,676,324,679,558,
990,006,453,906,854,190,410,659,371,412,381,325,489,904,055,828,453,821,476,
783,982,185,397,347,174,394,277,171,790,189,415,658,151,306,217,546,285,584,
533,373,884,308,959,713,599,396,645,065,868,377,105,254,573,728,960,385,104,
889,898,215,157,399,542,878,601,268,053,074,804,579,940,072,359,355,992,644,
738,230,169,543,870,719,340,414,278,497,853,852,839,028,043,587,039,479,031,
806,328,082,029,503,654,927,948,200,612,080,679,392,428,181,126,999,581,659,
552,188,513,420,151,018,773,055,678,568,852,876,867,322,774,115,340,005,582,
755,808,105,140,764,217,321,346,562,251,427,353,126,759,048,894,182,527,780,
703,213,510,386,088,365,401,531,888,378,490,608,973,362,456,073,083,121,364,
131,845,457,788,559,136,170,852,273,932,995,018,304,330,534,220,018,296,382,
902,309,686,595,852,100,729,738,822,189,813,963,915,384,285,175,527,944,510,
334,281,142,849,866,530,084,886,482,107,927,758,453,941,224,255,827,502,359,
136,254,834,583,241,029,485,652,981,230,632,792,000,928,977,084,113,028,742,
875,162,303,506,682,967,650,270,828,608,940,713,801,229,975,090,096,380,691,
351,271,016,867,043,886,223,936,507,644,396,759,595,021,509,729,125,016,389,
413,755,580,123,956,086,257,648,987,722,586,477,218,539,318,820,778,053,219,
919,836,954,338,482,197,266,793,042,391,271,579,122,009,076,684,765,596,932,
199,507,296,507,937,425,691,716,514,483,362,824,618,995,732,216,899,681,529,
191,104,023,582,991,570,753,313,341,063,479,421,147,487,747,762,353,227,895,
300,631,614,399,199,978,243,279,512,264,593,958,850,585,727,863,368,878,289,
815,886,793,686,893,724,404,323,313,942,799,054,999,854,012,661,326,721,412,
010,844,139,677,602,384,832,832,324,658,707,825,978,963,769,864,620,342,927,
049,324,468,945,306,361,843,714,159,955,263,463,726,370,702,007,965,523,937,
671,369,819,779,673,493,140,274,698,074,010,353,273,214,493,112,713,623,449,
043,292,148,346,893,647,628,283,314,378,886,434,328,312,132,790,479,668,355,
922,108,067,210,997,977,920,799,769,848,031,512,640,107,122,492,855,054,040,
695,209,178,567,727,595,589,586,920,258,442,738,946,975,868,725,943,648,241,
595,095,999,949,873,447,170,079,243,966,672,064,226,347,658,321,743,076,167,
925,466,103,548,124,282,183,705,035,317,031,247,216,200,525,549,660,805,815,
917,375,819,254,762,448,982,774,367,826,497,037,743,229,608,357,870,802,604,
672,567,404,773,985,854,915,203,221,919,161,134,866,607,760,092,179,279,556,
416,679,642,141,070,419,927,888,248,497,780,375,014,978,446,703,293,363,402,
964,359,453,130,254,727,251,510,729,727,662,150,868,943,900,003,999,389,354,
830,783,917,658,781,184,321,062,468,594,294,343,677,420,950,113,893,025,243,
270,477,894,854,959,438,723,002,739,181,076,530,856,646,319,913,418,824,307,
666,418,381,715,655,920,700,262,409,326,547,816,010,761,219,376,085,317,762,
434,504,557,858,905,374,203,758,439,698,134,995,939,036,909,143,140,586,249,
257,302,015,601,496,162,458,335,025,986,500,354,645,636,762,357,592,436,668,
614,134,711,124,468,935,220,254,437,900,368,625,817,189,224,075,238,754,660,
440,800,978,915,327,392,911,458,588,762,655,448,824,865,582,906,524,571,612,
496,065,242,911,947,657,439,321,189,308,680,067,705,040,523,796,239,524,675,
678,516,991,334,409,958,400,028,498,135,180,629,630,662,275,039,666,116,925,
368,793,385,572,919,916,997,041,631,445,597,983,355,675,993,974,645,994,802,
995,170,084,360,260,358,913,213,404,765,816,718,069,161,193,207,809,621,378,
112,238,214,526,012,436,169,051,928,190,491,076,644,215,073,927,686,513,796,
254,488,564,626,686,908,528,043,616,226,709,391,914,913,010,836,802,776,745,
074,437,587,193,211,562,753,668,447,355,106,027,792,516,052,612,196,288,138,
794,761,539,559,154,180,954,336,100,034,064,497,872,660,263,076,358,383,405,
041,232,376,936,339,517,148,278,689,110,563,433,798,560,133,750,796,247,515,
789,097,248,592,494,218,507,291,721,256,341,664,073,154,180,870,112,156,515,
206,105,017,976,508,010,871,004,600,325,159,762,230,214,606,686,131,785,458,
603,365,625,956,978,873,953,614,819,116,344,978,481,251,182,815,256,675,181,
546,179,097,300,422,725,775,341,265,391,916,208,688,661,908,644,139,136,898,
992,840,236,009,681,549,469,105,643,090,403,030,644,351,993,405,905,450,717,
999,841,956,568,450,029,102,619,039,280,169,183,844,799,129,621,533,018,969,
798,746,236,661,588,158,822,991,440,815,616,355,999,365,465,170,362,890,671,
031,259,533,565,988,103,347,636,521,474,040,422,508,469,580,447,941,299,503,
612,930,699,948,694,859,007,139,571,388,658,458,521,118,044,981,994,494,570,
813,196,788,357,128,024,637,218,289,279,585,210,441,380,453,112,207,491,028,
317,583,804,128,046,265,612,462,712,646,025,677,960,482,725,420,759,485,090,
283,009,994,081,308,175,524,145,114,799,638,545,405,694,804,102,823,450,725,
862,986,240,078,353,495,719,650,118,573,164,814,040,055,835,016,879,137,635,
129,479,917,290,677,986,158,574,965,479,001,840,967,304,403,077,080,791,962,
991,629,208,692,805,527,858,689,817,411,161,541,844,300,297,049,947,205,728,
625,813,133,396,564,684,640,760,928,351,823,490,816,358,441,112,403,763,590,
392,549,263,625,863,254,920,850,927,422,623,183,619,693,074,700,523,656,200,
849,210,051,990,847,201,272,687,439,259,535,699,896,492,308,583,966,165,226,
741,557,377,390,731,626,104,895,406,046,283,540,675,412,248,850,501,858,942,
852,569,313,888,884,285,108,272,083,399,764,305,489,029,477,600,160,942,366,
952,090,388,027,964,524,938,426,533,313,261,032,940,194,679,803,480,053,190,
030,536,406,759,390,090,155,740,725,141,297,603,503,538,962,354,177,497,307,
816,426,322,875,303,492,239,466,023,565,670,607,980,589,180,787,656,874,483,
182,095,617,875,258,636,325,721,439,218,500,364,370,137,872,767,877,700,406,
113,072,832,509,267,333,548,762,028,846,888,919,585,720,727,798,485,440,571,
055,965,534,107,900,573,181,805,001,123,062,964,912,551,274,903,600,707,907,
271,076,198,345,782,298,331,971,289,640,815,014,433,501,578,239,954,141,107,
310,196,863,520,361,285,490,579,938,277,877,167,951,522,345,352,314,552,548,
527,863,803,835,208,212,722,747,162,932,422,838,735,535,726,294,396,060,375,
537,660,913,891,834,522,671,136,028,273,117,131,682,507,617,030,010,592,044,
296,598,129,995,575,201,326,919,560,188,425,855,406,380,652,482,213,689,150,
775,794,921,142,587,338,112,140,935,813,915,874,252,969,673,842,851,197,725,
342,288,951,540,574,662,465,328,849,739,542,858,800,820,754,229,835,018,116,
771,933,365,358,476,573,002,464,670,232,188,506,568,151,498,455,439,436,019,
468,585,782,947,686,847,715,139,295,545,547,694,323,132,554,704,911,727,458,
186,905,825,855,724,803,799,641,644,810,282,725,870,658,243,800,073,357,568,
265,894,535,379,145,168,199,036,589,841,323,343,871,842,884,863,146,150,587,
977,390,953,406,749,980,173,021,492,391,416,864,839,305,799,845,258,714,456,
284,309,984,231,176,918,579,101,793,020,027,895,526,023,472,267,997,225,237,
623,939,882,236,956,581,658,535,803,353,945,014,294,194,081,123,845,153,832,
200,437,240,697,378,314,327,337,721,639,547,129,193,755,113,768,766,647,591,
672,520,995,488,540,039,218,883,550,233,358,381,641,103,232,594,356,475,238,
209,640,672,598,787,114,667,007,178,775,537,721,745,836,353,108,369,007,991,
465,629,580,201,339,661,799,994,072,172,198,922,852,283,287,242,349,751,878,
588,440,917,329,822,479,520,366,812,556,001,927,683,265,804,922,292,181,090,
016,208,163,263,542,224,187,121,037,436,877,208,985,352,281,508,506,443,622,
966,942,468,759,201,194,578,630,319,728,430,988,344,689,461,745,495,729,048,
293,654,445,608,897,036,997,269,946,323,911,691,880,571,930,407,601,915,536,
864,362,696,502,460,762,542,627,849,925,976,782,758,246,055,444,123,886,352,
805,159,651,759,628,983,759,732,221,098,873,512,096,013,822,073,317,622,115,
500,367,757,013,656,033,989,169,650,933,167,723,050,417,277,639,956,435,931,
533,924,188,829,974,519,929,546,716,639,648,941,233,048,967,855,613,026,133,
351,265,689,763,684,156,367,201,965,217,620,699,798,026,337,197,536,604,823,
445,819,330,814,220,589,997,774,333,257,033,337,204,451,559,975,138,722,015,
087,356,384,208,002,680,375,043,940,125,849,040,467,754,430,316,534,703,881,
299,962,804,084,142,323,431,798,377,576,670,376,289,742,609,904,010,021,736,
255,804,903,129,374,013,222,006,000,760,202,201,721,109,528,474,251,672,172,
672,796,056,321,782,845,942,599,427,129,002,585,174,013,898,070,191,999,145,
502,559,815,207,026,011,539,674,826,131,311,151,571,191,286,568,604,595,398,
194,588,930,643,383,561,960,534,321,006,744,287,204,818,458,601,234,635,584,
056,088,958,038,980,546,369,743,587,105,730,485,392,033,905,303,647,260,731,
700,891,520,362,082,183,654,164,010,288,911,217,984,315,651,600,744,950,642,
927,341,092,883,196,944,588,113,589,259,690,287,042,813,470,890,423,633,292,
886,766,041,294,287,755,935,434,581,897,187,909,469,434,412,636,181,722,822,
095,626,286,305,224,534,026,502,329,837,725,282,351,699,076,832,071,322,425,
072,699,966,185,134,252,001,783,060,256,086,989,167,372,115,001,181,850,489,
633,914,450,306,880,835,496,332,513,869,959,149,724,888,069,649,895,504,223,
720,527,189,404,886,517,199,764,925,852,946,559,738,427,138,117,574,931,183,
312,834,206,099,433,231,902,957,279,879,768,995,924,667,362,791,333,970,952,
406,669,027,297,541,334,565,367,406,775,992,811,415,785,221,459,204,396,081,
490,316,988,926,389,968,170,786,071,172,968,799,326,093,956,666,770,372,490,
071,492,303,146,066,365,576,462,830,811,638,034,033,605,522,297,404,145,877,
935,254,079,359,494,616,652,802,472,139,593,997,241,040,657,638,204,290,208,
305,481,383,643,142,757,350,967,778,434,701,298,893,024,012,004,895,221,093,
305,727,944,219,232,844,403,886,308,169,117,694,516,001,097,355,721,286,733,
852,353,305,070,221,332,418,056,041,882,988,746,877,619,913,207,489,949,252,
262,325,479,958,316,861,530,884,914,519,202,910,256,301,514,115,469,820,061,
855,324,373,453,366,424,391,916,464,115,855,954,044,710,461,906,191,093,820,
272,983,095,892,912,348,602,792,430,412,990,257,087,565,705,315,068,794,786,
669,220,860,981,309,569,348,789,895,882,706,471,913,000,929,926,486,789,312,
950,687,188,476,355,949,621,000,045,112,697,332,158,074,652,445,688,306,773,
486,071,597,401,756,220,482,922,986,223,328,060,022,143,381,601,886,936,894,
799,397,663,348,360,983,071,222,115,216,176,251,839,081,595,917,686,246,819,
785,165,685,277,781,164,866,176,071,946,081,738,525,532,918,955,134,853,248,
046,764,009,180,539,602,597,305,227,655,907,231,306,806,167,648,429,750,874,
252,923,952,617,360,633,049,173,088,106,347,904,411,351,379,361,019,906,782,
520,780,053,671,142,868,172,374,228,370,198,316,258,385,682,652,186,038,975,
747,708,275,696,478,030,227,825,278,764,436,023,614,233,718,483,243,251,410,
771,701,800,499,251,226,304,705,519,106,372,915,382,890,105,100,403,469,132,
910,105,981,420,950,300,934,089,899,532,998,819,369,282,853,743,392,514,484,
614,480,548,744,789,892,910,588,515,081,682,190,067,099,833,384,779,588,788,
928,240,646,342,311,986,745,855,775,764,232,738,205,765,669,672,485,193,273,
547,238,704,242,795,779,517,160,483,510,279,726,434,476,535,576,480,219,370,
010,664,026,425,802,166,517,363,789,595,340,023,183,307,080,319,805,019,019,
850,293,049,748,999,349,661,230,182,835,874,553,586,609,837,623,681,787,500,
701,706,080,399,574,382,457,392,018,469,079,213,133,418,924,815,558,596,685,
164,921,701,144,405,554,864,890,097,186,257,289,555,248,041,148,106,727,781,
507,889,024,108,418,986,667,724,572,968,212,219,769,812,370,432,595,624,732,
578,336,968,105,279,003,071,678,350,619,103,887,850,581,263,515,580,482,738,
565,353,827,934,621,846,720,660,475,616,153,221,173,182,685,415,964,121,292,
279,907,751,988,301,789,497,223,181,162,005,711,036,598,298,662,973,719,532,
801,097,159,525,902,213,289,822,411,569,143,775,150,695,251,512,723,723,096,
446,562,509,127,048,271,661,572,888,806,580,492,852,707,909,918,304,167,923,
348,066,390,956,501,987,296,592,646,687,969,471,572,974,837,185,026,031,017,
804,996,321,307,073,991,637,672,023,895,499,246,838,517,218,060,320,975,377,
912,562,322,519,344,626,648,780,905,196,903,039,106,660,318,527,561,096,711,
585,640,047,181,290,690,719,629,922,184,425,052,770,420,080,926,720,692,568,
496,499,132,481,200,654,618,635,938,639,250,745,965,105,329,576,332,509,298,
942,905,456,042,947,084,483,893,603,413,895,489,397,594,275,903,951,229,560,
430,953,623,290,177,491,901,977,907,775,684,645,786,304,217,137,705,685,403,
579,041,474,789,112,672,206,960,380,838,396,189,106,010,720,071,807,230,282,
883,908,739,363,015,433,580,408,956,133,487,252,427,200,986,721,914,271,357,
942,135,809,784,162,869,674,549,942,049,721,403,308,839,182,543,117,557,626,
392,700,249,847,848,719,616,234,148,101,493,049,327,248,001,425,216,513,877,
800,232,456,108,501,811,439,861,558,348,103,366,848,621,816,876,752,248,413,
065,801,252,297,473,362,581,477,924,775,731,154,127,255,949,398,827,417,320,
444,134,265,078,100,716,030,261,111,256,253,870,322,470,089,540,824,441,972,
524,453,387,569,713,090,559,450,976,750,677,090,495,401,226,605,795,204,707,
137,565,290,275,121,840,985,418,233,086,089,855,977,822,750,294,884,239,845,
684,606,378,257,555,931,708,660,488,066,270,060,822,354,842,505,537,823,596,
328,884,148,456,839,206,307,412,297,824,782,249,770,935,253,749,070,247,231,
023,661,552,941,657,337,878,204,764,618,428,312,176,789,716,041,013,623,729,
004,032,591,511,060,156,383,818,315,411,940,827,650,723,273,434,177,042,062,
114,283,343,783,105,454,475,140,681,483,804,937,823,452,960,081,006,757,404,
535,578,592,168,905,704,871,873,232,627,568,995,387,120,749,415,772,530,967,
181,973,829,315,797,446,868,331,141,714,606,490,585,461,217,421,254,250,022,
385,145,888,327,518,158,697,583,659,137,227,462,250,621,702,380,876,052,091,
488,572,159,711,229,124,779,691,279,850,375,681,354,548,262,218,570,871,162,
167,559,778,248,556,115,478,216,637,037,365,891,402,965,888,254,398,169,915,
336,629,111,847,917,747,018,566,073,262,474,577,582,561,789,175,877,238,411,
382,518,796,279,665,362,072,470,788,142,577,542,454,674,859,180,964,440,819,
190,437,776,635,903,607,483,447,151,358,643,441,602,960,228,552,569,184,325,
983,436,102,756,535,218,961,737,856,210,882,042,926,457,359,958,402,906,196,
863,192,610,295,346,437,678,058,983,335,592,584,878,715,859,977,098,746,226,
691,076,278,893,882,029,328,369,637,265,635,731,384,555,965,085,636,096,832,
276,037,148,657,770,326,098,440,168,229,298,781,718,510,004,430,051,752,017,
600,732,467,499,489,162,358,368,613,549,447,526,309,860,417,954,585,943,673,
840,181,389,871,584,036,123,647,527,222,478,811,940,743,836,814,945,290,728,
244,429,419,144,040,768,709,567,000,242,331,308,490,549,376,455,919,135,904,
951,005,795,552,864,835,889,250,855,818,704,606,709,055,429,426,530,383,516,
307,215,523,710,167,462,805,285,728,070,489,997,707,829,071,754,965,982,721,
040,650,824,864,872,842,829,996,163,579,027,338,608,939,980,685,214,703,043,
291,465,292,072,706,209,463,569,061,263,998,764,389,557,740,438,887,016,054,
773,328,459,333,965,704,672,627,730,526,369,614,290,667,991,751,699,617,381,
736,525,708,705,312,432,396,253,151,356,490,935,796,695,558,039,662,652,900,
304,727,912,784,744,072,818,672,166,339,829,226,486,244,506,372,356,365,287,
268,788,471,664,695,322,767,661,393,468,787,257,107,941,813,587,425,403,352,
345,793,777,140,732,958,988,877,089,404,387,754,002,346,134,744,997,496,906,
399,693,829,750,161,158,423,781,890,695,605,120,748,743,896,927,094,274,060,
130,442,795,196,830,060,744,470,620,493,262,900,679,720,904,277,379,624,847,
446,158,628,956,570,844,907,202,942,472,464,268,302,386,435,199,886,972,929,
389,798,942,552,765,438,443,486,203,587,964,275,209,016,977,460,101,949,478,
497,931,925,676,707,523,882,746,307,456,106,725,792,220,426,954,670,494,271,
102,438,573,593,700,347,774,646,067,197,196,474,588,661,787,731,470,045,575,
998,615,686,180,091,499,582,039,362,678,947,554,588,505,902,863,250,854,283,
240,256,238,491,951,945,021,336,015,360,896,477,483,274,552,578,969,603,668,
448,182,592,420,089,829,569,613,125,509,588,977,502,096,600,691,382,923,293,
904,270,580,957,745,830,582,588,051,554,998,556,837,576,627,454,420,965,139,
935,406,706,523,549,218,678,074,912,093,965,701,615,897,543,129,364,347,490,
731,271,286,432,285,933,287,412,143,775,754,880,717,767,613,064,322,817,407,
962,996,482,015,061,802,461,367,453,520,966,030,317,339,741,770,724,995,884,
100,217,508,581,178,273,424,450,629,514,810,331,621,810,555,591,642,154,222,
084,311,168,989,927,403,276,682,764,011,591,876,218,020,450,793,305,942,656,
945,480,617,357,350,460,006,826,054,670,090,743,969,720,511,318,005,375,387,
193,095,903,970,919,662,956,260,708,988,936,872,392,302,304,715,455,024,763,
858,916,496,788,168,122,916,842,552,378,892,860,329,888,204,954,313,377,661,
685,005,057,580,655,603,664,687,576,692,459,933,803,599,729,835,259,079,824,
349,592,444,943,704,661,655,215,719,868,758,620,205,910,652,506,716,247,635,
259,863,893,963,641,600,176,579,397,206,632,391,732,070,991,039,189,062,713,
167,035,271,412,525,495,916,489,429,621,657,117,020,469,450,982,406,173,122,
922,709,874,398,427,694,459,560,077,733,628,696,821,120,107,248,082,988,600,
680,554,168,545,813,238,296,570,200,135,770,871,404,614,489,482,741,073,359,
734,023,616,710,667,285,362,937,373,902,290,009,802,498,276,134,817,780,478,
893,273,266,002,185,681,208,171,092,222,929,772,194,097,672,433,187,343,527,
193,222,303,491,506,235,206,598,780,407,044,416,673,170,260,600,979,047,335,
639,545,217,342,672,360,593,172,853,628,827,857,805,148,692,999,808,555,995,
801,358,228,003,942,390,158,606,899,556,025,968,828,648,910,468,176,713,975,
488,093,276,440,864,942,068,583,392,031,228,955,936,032,818,299,246,677,701,
619,981,293,399,941,435,497,782,984,380,417,326,675,324,758,274,862,358,353,
515,467,813,537,660,337,868,351,600,959,374,821,597,431,435,595,328,302,554,
893,562,905,251,317,018,513,783,001,524,759,838,623,314,723,035,327,711,390,
648,503,870,275,384,301,678,278,059,117,268,028,900,669,026,555,379,482,618,
297,617,687,265,872,154,454,009,892,424,775,172,465,276,595,207,604,077,398,
680,109,030,978,429,689,365,511,707,465,855,913,909,298,938,114,516,242,021,
748,911,192,253,465,600,673,346,850,485,184,335,377,880,553,774,279,709,216,
233,927,044,128,712,411,863,951,533,371,861,435,826,106,965,219,513,326,676,
610,021,013,833,168,962,080,543,450,147,702,275,009,154,016,465,277,846,952,
967,658,676,810,515,427,244,402,450,791,856,163,922,474,554,937,449,469,501,
219,302,062,740,378,408,518,404,597,259,628,404,375,875,798,793,824,917,529,
274,067,530,840,389,828,198,690,212,815,812,359,842,903,442,013,289,634,424,
664,222,607,649,222,946,536,055,630,109,999,421,302,392,138,441,471,337,984,
875,491,234,747,996,639,419,394,745,359,783,422,928,157,863,373,491,368,345,
088,511,405,175,827,958,967,158,150,741,918,783,889,221,442,264,760,376,147,
230,833,667,915,513,375,924,947,334,320,753,266,427,760,804,393,675,359,600,
240,579,830,749,688,548,105,895,557,256,256,616,846,537,667,237,962,024,161,
051,475,128,546,455,110,704,139,866,489,645,014,670,965,148,300,602,244,466,
693,661,220,791,938,701,932,886,761,365,976,913,149,724,509,505,871,657,725,
758,139,839,992,518,180,502,709,988,778,103,749,431,958,160,618,515,015,250,
426,023,697,240,041,646,174,746,735,832,786,264,567,570,052,941,528,685,697,
510,735,553,112,944,834,082,116,137,653,823,082,332,379,448,951,366,062,738,
262,934,482,380,462,425,967,158,427,104,213,223,330,942,071,280,478,465,947,
175,777,172,893,420,161,505,932,124,912,964,052,592,581,499,272,215,967,361,
765,640,302,152,808,404,622,123,875,399,221,695,232,872,020,728,586,384,354,
365,391,737,572,801,785,133,665,388,683,744,159,909,731,358,219,291,282,880,
948,052,199,448,516,386,593,210,334,001,948,370,243,996,854,095,355,180,767,
771,295,039,812,264,802,859,310,815,171,037,795,934,798,956,843,467,541,209,
569,564,921,384,038,482,263,220,164,062,097,122,578,177,260,054,346,789,476,
243,710,496,875,569,079,868,061,244,471,095,091,690,996,199,386,567,397,776,
115,753,202,054,518,560,232,368,300,999,310,962,174,314,836,283,760,724,839,
268,058,696,784,169,624,268,933,922,315,748,619,471,428,330,626,303,452,482,
524,912,880,664,763,709,530,188,321,341,006,206,763,022,506,611,190,655,112,
750,089,090,640,359,817,546,432,913,388,680,908,303,654,832,388,511,229,243,
636,558,466,647,133,491,662,748,279,473,004,000,966,739,843,353,385,134,466,
896,490,589,552,764,919,946,702,118,694,600,777,403,646,924,720,763,635,832,
822,108,639,355,812,828,809,694,774,882,253,716,857,554,708,255,198,547,247,
324,728,003,123,901,556,640,903,204,611,658,106,298,608,079,643,350,414,019,
615,703,798,853,543,665,819,104,270,446,063,300,344,478,959,907,698,598,345,
188,852,797,622,742,122,922,169,103,398,233,165,157,799,668,104,220,372,910,
383,412,060,414,127,606,266,713,043,945,236,103,689,026,712,212,278,499,895,
742,745,160,549,387,861,212,728,865,091,815,411,071,490,148,925,450,648,962,
615,108,141,324,285,059,657,905,547,295,032,721,638,924,840,730,761,327,097,
819,790,258,249,336,627,297,745,471,810,845,519,040,178,215,339,633,070,478,
141,556,101,107,938,080,594,669,969,969,041,421,451,342,868,434,993,332,924,
638,720,139,208,205,383,829,018,135,512,990,707,212,265,969,225,587,509,413,
398,539,201,715,457,758,682,827,142,433,300,012,323,000,716,400,798,912,918,
493,228,287,891,324,597,207,917,229,906,927,983,732,885,613,397,329,607,539,
668,242,436,347,104,741,269,696,187,251,915,535,408,010,623,276,096,919,375,
253,709,042,394,359,020,635,425,058,082,577,430,136,250,170,898,791,536,057,
940,314,319,076,719,428,549,617,188,097,595,561,236,784,969,757,672,046,153,
443,187,454,563,919,853,951,458,888,831,739,855,104,773,900,487,924,419,276,
305,408,336,407,536,169,969,044,597,845,971,399,052,904,452,925,536,575,901,
110,728,558,624,654,508,036,212,388,214,294,204,653,575,076,353,642,901,534,
491,742,174,334,667,599,048,323,764,064,219,529,140,723,686,405,736,330,722,
736,566,877,917,471,948,363,457,132,419,935,689,880,856,265,358,002,390,077,
551,460,106,283,902,971,571,618,045,104,930,725,876,233,967,175,917,442,302,
878,313,534,952,871,110,126,078,986,814,190,977,169,877,540,220,830,036,154,
578,008,255,440,074,038,393,684,171,235,553,730,890,518,264,555,799,862,962,
864,682,002,746,213,846,808,369,781,055,385,513,052,630,505,487,677,192,456,
206,109,036,505,694,588,848,868,228,800,362,222,210,762,035,408,811,312,996,
653,462,290,188,490,194,987,558,261,951,069,126,291,725,546,881,172,006,937,
219,034,834,304,644,533,616,408,502,115,109,867,317,092,304,775,254,489,731,
529,042,959,106,036,020,825,214,204,267,568,866,031,613,563,802,636,465,745,
257,419,987,032,428,217,081,239,058,834,422,248,143,816,298,492,265,759,825,
366,670,017,895,574,037,490,358,504,225,573,202,611,176,683,997,861,807,281,
178,719,482,272,120,151,397,708,429,069,944,908,090,857,731,068,989,333,226,
966,205,180,493,758,244,440,535,518,889,943,133,433,009,648,508,553,571,995,
741,910,755,280,850,161,502,940,491,391,401,767,786,958,882,393,731,382,046,
553,376,299,979,425,734,443,117,973,334,801,997,180,126,993,935,163,285,321,
160,115,676,178,084,135,259,620,711,614,511,640,475,842,261,533,825,795,648,
297,481,414,856,642,956,845,495,245,133,740,397,730,470,061,663,925,325,453,
880,761,822,202,896,757,553,163,910,084,285,539,582,744,138,142,194,080,387,
715,881,699,240,865,916,963,768,306,996,665,181,412,467,810,391,522,917,567,
687,479,234,178,684,409,976,695,915,449,593,325,043,966,203,164,081,256,944,
117,546,862,843,336,668,143,390,469,286,273,160,919,623,348,496,449,231,468,
141,886,791,469,161,833,482,779,091,886,160,878,676,074,547,601,658,932,064,
808,065,173,612,682,483,875,060,089,101,454,124,349,088,971,515,846,539,148,
926,027,931,849,918,343,583,124,137,146,241,759,525,244,506,001,018,374,444,
072,109,109,074,512,147,739,731,705,943,253,587,156,113,549,697,373,316,913,
400,723,221,604,490,238,046,872,097,543,480,704,632,933,841,131,793,062,342,
474,030,991,452,899,926,034,158,928,753,672,191,416,304,434,578,043,727,454,
183,681,764,697,626,798,711,299,205,213,313,112,772,056,929,636,289,521,597,
548,215,537,158,240,764,617,881,543,303,298,705,428,302,205,531,593,752,056,
398,167,056,248,527,905,201,171,042,785,443,154,997,977,274,643,919,659,515,
932,873,508,999,508,288,389,775,948,709,628,579,066,291,977,166,065,059,697,
950,940,498,457,902,693,490,529,979,404,173,329,976,423,274,333,138,891,724,
737,088,211,200,368,199,063,512,058,114,207,416,031,450,671,201,002,266,757,
631,992,631,750,025,899,961,571,343,390,550,660,308,403,798,121,261,254,772,
450,478,973,604,030,405,593,191,143,048,987,011,483,265,312,994,905,602,331,
884,978,848,978,137,404,693,982,104,656,632,891,213,707,887,219,617,986,372,
998,193,784,462,085,209,163,202,538,038,424,466,823,363,398,724,064,987,154,
107,804,111,037,706,303,995,749,031,967,654,769,441,479,996,960,059,272,834,
469,977,198,758,394,464,818,285,993,937,826,839,890,731,060,134,656,057,024,
218,990,389,233,953,631,038,111,439,484,864,120,411,334,840,039,622,468,109,
180,343,675,877,839,703,652,305,741,873,589,510,545,019,026,581,870,352,223,
735,254,608,783,600,521,876,000,163,129,789,598,783,434,406,433,578,559,178,
194,672,450,639,779,869,025,127,508,585,532,707,113,902,156,184,700,562,504,
962,854,356,733,465,417,674,051,189,910,568,952,350,470,720,673,957,632,575,
134,590,434,771,395,677,092,237,114,066,527,579,730,646,038,032,831,026,026,
107,161,719,365,493,944,323,129,473,360,782,904,800,943,373,359,345,554,928,
721,507,329,149,583,129,205,707,797,322,218,638,048,766,622,453,067,458,624,
933,773,195,313,127,431,914,999,889,372,913,353,631,904,777,502,088,791,962,
777,163,868,081,519,166,823,088,271,446,850,725,689,106,889,275,781,731,754,
990,923,326,020,639,697,231,243,492,730,886,021,159,668,193,722,665,541,587,
541,531,245,186,898,835,842,918,410,706,907,742,408,182,441,098,913,724,043,
559,311,280,979,424,807,520,341,482,777,438,702,803,923,583,308,840,364,837,
323,028,512,030,865,551,787,854,338,128,593,292,718,837,503,943,818,843,770,
670,229,795,295,138,031,086,297,214,472,285,140,803,451,164,972,439,599,239,
867,783,236,506,614,127,646,901,426,688,819,481,032,347,516,742,541,520,007,
506,181,152,000,004,896,340,118,841,995,327,005,983,848,346,300,901,440,017,
917,472,910,437,546,038,737,716,411,201,136,973,318,310,044,809,397,624,577,
417,129,243,481,532,345,749,272,691,806,503,388,573,747,747,040,543,966,404,
632,394,448,167,602,434,024,407,085,969,011,058,053,048,382,623,537,426,511,
608,450,144,616,426,229,376,501,906,694,262,990,699,681,084,623,486,736,465,
447,589,109,969,771,259,609,915,558,667,723,155,148,748,636,133,188,730,442,
218,197,754,684,739,149,998,466,493,581,342,721,805,705,362,549,807,292,044,
420,352,614,193,089,627,476,501,207,698,902,361,707,764,935,662,841,577,992,
197,296,966,653,136,420,206,507,687,509,160,305,430,445,551,127,822,212,192,
932,643,025,620,319,705,260,409,322,487,138,124,509,611,157,070,546,530,840,
840,417,177,597,468,477,869,903,253,890,299,442,903,939,520,050,994,501,136,
963,465,401,059,607,799,015,104,228,814,490,647,640,942,945,640,345,393,056,
922,359,863,187,952,518,920,642,696,825,547,347,786,701,169,497,223,885,966,
894,531,785,860,317,172,944,347,097,549,503,299,649,582,228,657,869,398,476,
626,845,805,450,724,000,211,005,970,211,901,567,577,288,768,095,408,880,052,
491,140,299,390,839,499,773,019,677,851,626,552,857,589,117,660,392,409,789,
126,763,247,867,062,054,801,132,650,574,909,976,786,107,611,092,169,818,104,
663,776,691,213,053,025,433,843,622,860,480,297,025,056,370,418,602,975,675,
219,372,148,532,316,544,513,423,090,048,838,929,355,215,424,331,784,228,133,
331,617,628,506,920,449,497,027,233,089,972,532,281,286,983,564,996,279,242,
558,779,585,104,348,942,960,539,315,360,755,406,418,314,742,136,355,125,935,
576,930,390,043,356,015,252,956,393,277,854,434,766,748,327,444,463,028,580,
254,011,831,657,462,813,646,444,397,276,706,470,354,547,278,379,010,357,913,
196,959,469,810,953,105,154,536,241,171,331,187,430,197,919,094,371,357,100,
201,953,672,568,524,198,512,592,600,636,313,891,519,566,436,452,361,783,628,
108,568,481,573,250,276,300,721,154,507,146,196,355,154,639,176,156,435,248,
188,019,294,527,895,601,751,872,043,633,838,726,599,669,969,778,247,352,558,
867,160,908,865,573,561,697,018,935,111,387,554,482,915,326,881,713,602,223,
710,684,601,415,203,288,655,683,354,916,080,290,414,767,885,384,230,722,420,
303,258,886,422,312,968,167,738,984,834,717,969,696,693,420,941,566,077,347,
476,992,901,778,740,612,256,815,780,157,474,671,260,939,006,802,466,392,742,
830,151,074,273,509,177,644,315,562,574,684,117,958,694,386,836,599,353,253,
521,210,661,309,371,311,416,976,614,810,237,336,578,239,199,818,099,918,408,
170,678,084,208,055,724,846,241,164,071,005,943,293,186,859,420,636,646,202,
998,021,834,596,537,647,230,001,818,875,309,791,516,712,917,224,768,007,460,
118,977,006,437,327,533,514,664,281,820,441,565,878,514,740,265,770,225,231,
104,194,555,702,352,793,956,347,513,854,494,469,004,659,433,738,808,375,309,
389,882,425,641,214,859,376,077,617,085,048,322,392,855,360,938,692,742,060,
371,314,465,461,936,945,188,340,621,656,944,763,630,396,078,742,587,412,432,
546,519,778,524,155,313,480,884,100,316,347,966,560,698,177,075,659,656,819,
583,159,925,127,877,816,641,785,010,852,971,263,923,809,946,594,785,066,313,
079,449,971,731,041,656,947,909,822,093,829,047,303,648,310,213,317,223,088,
054,568,767,421,286,569,424,150,635,732,008,070,759,495,457,127,511,990,033,
417,245,005,308,391,458,272,360,530,513,999,501,281,261,165,074,145,168,610,
284,096,784,749,560,389,006,057,457,965,823,176,478,691,912,538,497,011,684,
762,620,772,368,176,723,339,734,409,019,678,583,138,729,405,927,815,402,225,
538,768,000,683,194,562,674,540,122,519,428,536,770,844,670,921,335,647,502,
821,085,880,003,438,905,423,072,317,426,938,305,811,247,134,779,680,307,487,
652,088,009,416,567,825,291,990,048,847,306,505,049,803,529,629,776,232,239,
531,626,106,410,856,645,798,575,314,453,742,027,493,349,045,499,734,568,995,
532,420,396,341,018,936,878,294,735,798,978,991,198,137,402,517,869,738,763,
189,785,585,169,648,035,410,179,127,068,178,894,011,397,431,751,859,182,791,
192,178,894,246,430,523,720,274,374,333,358,504,824,903,166,271,088,580,189,
602,323,664,127,666,168,022,982,173,928,313,368,508,202,044,949,914,701,313,
030,719,914,636,751,925,245,045,252,277,465,050,374,543,319,115,952,974,144,
482,277,176,361,986,175,395,746,568,468,120,137,467,796,276,569,418,944,102,
658,505,918,523,640,752,043,136,959,261,291,018,284,326,348,607,582,219,692,
928,930,683,071,105,775,114,031,251,464,411,162,607,348,464,632,051,898,210,
704,158,045,039,066,830,654,944,980,733,696,600,599,223,688,558,276,891,606,
589,629,171,595,256,124,142,190,546,831,762,035,395,587,655,517,421,257,036,
692,280,359,464,285,181,126,768,139,355,141,267,940,522,488,202,687,093,831,
117,308,929,712,113,089,906,551,675,629,444,970,112,359,411,312,938,003,147,
042,205,045,092,023,931,718,235,367,620,857,003,091,876,541,114,732,730,425,
655,530,478,776,870,600,199,085,934,305,180,479,679,517,803,799,566,407,035,
718,633,655,760,906,387,637,075,768,239,716,843,340,812,664,310,907,762,045,
677,076,927,983,339,974,191,187,822,798,507,831,085,496,450,501,185,581,081,
387,326,272,384,313,920,601,811,656,778,544,674,602,948,062,649,660,612,716,
992,093,471,038,405,834,798,353,255,177,827,803,993,674,696,160,256,006,354,
790,050,877,416,465,220,393,426,418,588,304,687,059,365,580,453,574,689,508,
524,078,806,891,585,007,078,342,116,603,878,565,119,008,234,490,284,660,767,
958,083,241,061,612,966,990,760,744,242,403,544,205,997,226,917,329,916,628,
732,511,702,578,914,842,483,194,579,380,183,575,332,199,337,429,160,933,307,
183,487,263,787,206,645,758,418,593,075,795,163,400,110,949,442,877,879,902,
379,960,208,520,360,810,978,425,836,208,519,571,991,071,657,105,566,529,557,
058,404,242,235,104,568,357,040,376,480,049,748,525,758,814,578,985,710,499,
057,735,541,979,247,243,371,188,332,696,802,704,002,315,722,150,591,776,265,
893,711,123,543,830,484,904,116,620,377,723,572,276,354,199,272,814,191,938,
912,930,815,969,332,526,383,863,609,427,664,511,103,447,223,923,813,864,785,
457,035,984,736,393,379,075,504,779,725,551,344,659,058,457,896,197,447,830,
255,259,950,174,024,815,377,147,599,831,283,945,719,413,788,516,932,163,748,
594,176,797,361,322,970,947,985,935,413,658,731,061,485,755,400,888,450,437,
855,607,519,444,704,854,279,508,913,886,648,426,870,728,133,900,851,464,877,
814,849,448,829,966,215,061,908,892,043,579,549,576,914,342,775,212,237,223,
626,989,664,167,498,208,234,661,429,793,601,104,467,242,986,728,900,371,017,
168,037,016,457,544,133,481,304,201,889,288,793,844,825,120,645,658,374,093,
504,255,626,375,466,795,093,350,819,422,047,685,745,063,664,330,527,850,577,
353,392,521,341,065,892,291,529,907,153,562,928,252,406,246,785,707,008,898,
630,597,086,542,228,992,356,411,153,657,460,912,835,642,636,963,103,923,996,
322,658,602,881,418,996,090,834,861,908,008,627,842,918,966,862,457,761,916,
471,780,910,234,845,807,693,988,926,829,674,340,041,869,157,356,119,773,944,
214,805,047,409,384,742,000,290,660,191,355,942,180,142,129,790,408,237,293,
755,908,651,255,687,025,654,149,094,889,077,357,657,024,621,904,749,415,775,
529,252,910,595,718,688,511,075,146,197,975,210,897,860,433,661,743,965,451,
025,597,397,730,552,035,712,121,338,749,123,675,740,112,573,607,962,727,011,
222,801,444,684,745,146,265,091,317,211,733,785,835,874,807,436,142,915,895,
704,680,618,930,658,678,475,700,230,288,833,674,148,441,581,319,485,770,661,
976,064,692,438,474,284,775,045,141,080,917,798,580,572,666,131,564,099,582,
199,459,064,439,066,364,395,314,626,224,843,691,970,757,986,609,444,358,690,
061,997,822,359,793,385,884,637,501,181,157,805,790,150,248,306,562,262,794,
263,106,002,334,042,776,410,543,323,714,410,699,563,820,057,976,900,947,946,
598,856,717,817,841,418,054,329,656,384,966,846,443,603,521,963,290,111,473,
469,716,365,037,714,665,368,148,736,910,201,295,384,240,980,041,553,044,166,
685,781,347,279,759,478,299,485,950,556,937,641,210,352,834,228,025,117,656,
452,128,382,329,026,369,979,325,835,084,928,160,468,248,459,562,773,980,266,
563,720,750,605,343,027,971,233,426,249,524,778,133,851,705,615,847,467,355,
864,482,300,367,558,185,817,337,426,529,588,173,518,706,289,871,923,597,980,
790,868,747,801,094,870,099,956,277,434,091,131,757,414,427,178,890,084,129,
928,639,849,336,969,258,128,580,740,225,703,215,198,250,978,001,592,013,756,
222,574,593,609,125,348,396,500,751,928,029,904,661,288,421,936,028,377,989,
478,195,459,976,317,757,294,405,802,818,492,588,934,779,509,749,260,593,951,
188,374,888,235,393,490,836,404,481,383,903,549,425,181,301,529,000,674,235,
962,891,953,754,874,937,983,227,179,815,688,101,232,403,599,123,695,643,342,
438,595,077,089,656,131,715,763,865,095,743,065,545,645,470,735,868,599,750,
267,910,057,012,993,985,626,099,146,201,556,306,313,154,644,898,276,333,452,
869,803,846,237,623,305,571,281,669,734,756,193,588,554,585,874,592,866,315,
494,105,558,506,287,743,949,048,897,004,180,758,222,012,795,688,839,523,059,
023,374,849,703,636,164,792,036,751,876,683,972,450,410,228,636,556,713,790,
505,474,814,123,049,124,589,060,117,435,308,709,768,909,659,082,510,633,332,
707,139,452,474,608,734,582,175,530,075,776,768,149,369,388,660,603,609,845,
475,608,187,456,933,549,717,763,038,647,599,622,353,569,428,460,462,224,639,
619,014,418,022,474,505,546,731,593,479,773,838,098,202,911,441,294,324,315,
808,489,158,007,430,234,547,526,614,625,426,405,146,978,350,147,126,652,465,
319,928,407,363,780,227,731,038,256,188,543,815,207,223,331,756,310,492,274,
750,797,311,304,529,764,853,681,818,634,582,275,756,098,001,134,046,910,706,
343,435,073,475,854,696,975,084,200,210,620,265,139,801,009,566,713,939,206,
677,057,165,587,612,499,680,365,447,038,652,000,160,262,684,793,535,567,757,
937,557,958,186,579,712,756,728,282,475,187,476,057,947,348,185,863,328,148,
760,316,154,734,061,296,165,916,937,906,409,545,635,640,303,068,006,004,283,
742,772,888,249,540,567,392,394,188,512,601,063,505,331,122,197,338,929,303,
323,514,028,014,652,955,096,832,716,246,736,295,885,762,670,600,050,518,083,
862,041,059,860,461,875,175,278,086,743,841,622,298,594,115,840,837,378,258,
156,058,645,261,973,441,112,771,578,791,334,778,044,530,954,538,901,960,197,
681,609,017,386,496,100,569,670,439,029,792,054,615,248,483,776,544,303,433,
087,491,962,389,331,093,703,673,713,155,620,704,479,102,625,561,075,419,500,
019,782,670,487,992,609,424,149,060,078,109,272,072,990,705,916,574,135,445,
985,780,918,046,699,105,671,901,580,685,044,965,671,945,823,298,540,821,218,
764,050,949,522,057,024,203,264,279,369,440,568,840,297,952,461,135,112,603,
842,516,575,035,743,620,225,731,296,838,735,230,848,782,304,966,575,712,761,
817,035,346,189,195,667,400,170,159,345,188,992,741,074,911,052,629,166,566,
232,028,780,720,357,907,690,114,028,236,455,305,204,817,612,494,186,741,881,
185,793,943,242,414,015,812,198,074,993,520,283,421,987,285,023,830,625,816,
883,490,302,956,353,272,607,329,989,415,493,011,974,448,727,192,042,359,342,
099,659,606,813,989,221,290,528,181,014,006,225,432,399,192,940,279,733,141,
461,247,994,858,441,514,671,288,104,865,476,254,740,823,213,811,420,769,815,
891,528,956,627,560,519,984,887,731,487,432,151,354,296,266,159,201,604,951,
168,062,707,373,770,636,223,019,542,568,643,217,755,677,899,177,447,208,878,
958,478,177,685,456,152,931,846,141,357,814,028,041,546,664,632,324,180,030,
941,424,557,048,825,641,726,922,446,009,004,638,467,074,055,248,365,888,676,
820,649,065,143,421,515,998,063,408,512,826,914,955,372,122,478,381,980,686,
992,473,171,127,358,522,265,626,030,680,540,823,134,164,187,677,099,134,298,
814,184,840,840,305,258,215,551,067,494,502,650,262,771,894,598,780,405,004,
911,961,098,815,160,269,570,770,180,133,176,652,086,323,301,857,345,890,313,
381,891,816,392,225,044,665,608,811,642,031,946,561,335,353,685,578,011,926,
396,021,747,520,057,165,981,453,468,974,137,255,041,683,411,105,329,362,841,
052,208,413,806,156,817,060,442,399,634,825,818,022,582,348,306,084,477,567,
156,231,046,344,987,830,697,659,845,507,265,082,277,915,512,381,541,570,738,
792,952,369,347,425,195,941,697,044,499,080,410,591,884,247,636,834,071,020,
220,928,364,750,928,867,635,851,801,579,476,139,934,501,567,999,619,504,819,
016,084,634,837,840,707,164,354,507,466,449,798,030,308,537,806,354,583,773,
984,365,620,907,007,686,131,630,173,988,212,728,607,520,342,277,362,619,727,
558,796,222,096,708,395,403,950,138,952,046,839,499,528,969,645,744,117,013,
575,429,887,953,965,819,727,029,241,729,212,062,591,283,358,085,238,995,036,
018,991,901,075,442,053,363,470,752,599,298,059,548,917,195,088,513,338,180,
903,169,027,883,236,134,890,648,282,112,568,563,840,200,675,684,936,353,677,
420,664,490,605,620,361,536,798,131,309,596,657,062,243,942,557,224,299,170,
996,234,924,259,362,788,157,400,322,830,090,742,043,650,022,942,925,994,030,
942,000,148,041,868,133,978,034,271,810,818,016,138,853,005,677,364,632,029,
786,586,550,447,158,665,674,516,633,451,706,519,879,137,894,074,889,796,121,
282,208,748,697,980,749,992,849,662,294,925,531,286,624,164,338,419,471,289,
469,206,686,739,465,640,719,796,733,720,675,229,872,520,210,182,372,855,566,
039,533,444,049,168,606,308,910,884,279,943,037,152,634,481,761,683,868,633,
642,306,341,066,314,377,954,558,440,925,769,388,839,869,876,393,711,295,608,
368,292,121,226,379,958,256,033,901,032,836,133,621,070,660,707,549,097,769,
507,027,710,072,095,486,140,435,611,792,893,351,104,478,941,283,070,686,005,
774,004,419,781,782,202,656,276,436,241,068,594,219,622,994,871,226,687,449,
572,544,386,526,521,740,095,205,601,997,865,249,217,235,110,459,919,208,143,
795,379,420,926,553,376,016,451,774,554,854,681,625,785,365,861,302,371,713,
759,638,930,837,962,192,860,045,993,028,043,360,040,246,429,828,505,578,805,
794,164,474,427,301,712,975,293,422,009,996,597,377,455,032,475,804,124,349,
260,648,061,437,451,635,452,021,566,135,243,813,579,014,365,345,771,745,159,
084,472,107,115,902,122,932,315,325,010,178,131,796,908,861,605,858,971,995,
115,045,907,771,492,280,161,064,039,198,057,410,105,408,385,007,592,149,811,
520,329,019,504,189,013,224,031,640,842,925,940,440,313,812,822,777,464,647,
981,281,309,985,515,618,093,996,412,727,871,382,406,429,320,175,267,689,302,
303,354,147,529,289,717,503,266,786,081,081,948,403,955,284,264,103,407,908,
569,544,782,941,295,580,209,662,246,984,462,718,457,589,775,230,544,415,014,
256,808,407,835,688,796,151,264,864,369,700,060,179,429,269,123,847,423,775,
885,639,816,474,693,801,279,038,760,572,508,498,160,974,019,476,706,785,161,
861,813,118,433,416,979,273,443,121,720,819,449,929,131,424,075,310,054,884,
191,577,384,375,180,475,738,037,840,838,226,005,101,406,748,374,752,372,325,
024,595,084,839,463,002,445,747,368,697,841,523,898,670,823,324,424,541,596,
264,877,076,386,987,472,817,189,764,310,909,105,910,324,588,574,313,150,133,
484,695,628,221,099,695,753,760,745,084,714,890,680,513,069,089,219,077,185,
099,846,878,882,585,297,248,161,143,262,383,821,221,388,549,942,751,474,537,
613,356,327,713,048,223,683,600,566,279,221,300,511,577,456,326,436,129,343,
744,680,021,116,557,256,541,351,978,240,504,088,256,287,348,359,232,046,587,
990,189,614,817,337,266,849,921,380,965,426,388,278,656,406,109,924,854,245,
998,870,683,751,690,860,268,629,233,449,097,002,227,181,666,895,799,908,688,
635,459,015,440,002,199,679,848,401,275,595,785,521,261,698,449,189,491,962,
089,322,493,130,275,567,523,868,040,966,270,956,943,384,883,556,409,660,686,
525,520,723,149,266,913,946,973,784,808,125,396,583,783,353,083,972,033,398,
878,950,022,031,005,312,344,870,798,311,178,469,767,549,818,906,618,142,189,
059,264,322,438,018,858,606,103,714,571,957,006,282,590,713,819,154,147,179,
827,116,698,085,561,106,534,536,056,246,382,874,391,307,453,921,623,694,229,
380,682,277,859,946,007,064,026,304,982,422,169,719,893,083,609,568,168,062,
697,302,923,563,788,181,992,329,442,814,773,189,012,299,956,009,179,727,951,
168,974,079,542,566,142,843,582,990,808,523,679,534,477,373,946,331,760,431,
957,717,941,012,581,556,024,436,288,258,370,085,590,485,169,134,425,566,154,
401,566,453,169,238,790,382,786,137,309,618,661,071,428,791,427,429,478,698,
913,181,653,060,284,682,309,217,140,221,867,702,588,932,494,747,374,961,497,
368,126,217,468,010,483,760,202,980,448,731,783,909,840,280,756,969,599,739,
144,971,014,531,538,186,702,231,666,276,511,263,692,644,590,991,646,749,752,
836,110,397,177,731,811,423,650,080,948,918,453,829,092,122,628,558,725,016,
692,914,845,446,426,934,925,781,160,964,576,709,391,455,130,827,873,484,080,
240,248,630,044,098,612,786,090,633,373,064,020,701,277,483,940,363,427,645,
657,064,022,275,047,447,777,892,223,103,134,288,570,867,201,119,455,942,534,
888,840,019,326,652,502,713,041,902,260,913,064,636,193,884,815,187,707,333,
943,519,946,759,831,868,096,490,683,616,680,215,362,917,312,734,296,716,674,
894,393,038,634,687,634,168,238,733,631,197,448,795,167,582,733,513,847,311,
748,537,273,399,330,084,675,502,697,989,613,806,130,246,025,416,434,083,926,
303,387,084,793,591,099,731,209,160,748,452,152,322,940,071,271,417,171,543,
390,019,799,305,023,430,486,882,141,443,869,569,093,606,175,725,829,722,024,
138,987,772,622,743,122,430,851,773,894,198,681,617,926,265,987,319,062,965,
104,965,122,295,114,245,247,883,604,205,508,054,748,734,392,314,209,507,872,
198,330,805,359,480,894,719,794,621,241,681,143,703,868,205,527,241,286,448,
606,269,537,586,057,181,357,074,019,859,509,612,218,029,423,106,378,141,177,
511,506,462,581,023,768,955,705,744,432,745,478,842,419,584,202,286,236,148,
827,637,648,860,844,151,496,945,759,558,653,653,654,011,066,573,244,098,382,
013,967,677,592,739,686,805,895,640,102,824,486,019,803,553,365,557,788,564,
929,127,672,187,525,327,726,130,422,045,934,239,826,443,189,763,876,011,964,
179,780,828,256,336,266,600,879,943,303,127,126,520,547,115,527,001,299,764,
322,469,769,126,654,848,613,833,977,749,036,779,205,305,155,336,595,944,009,
854,613,490,042,695,046,419,902,130,230,171,596,365,253,354,350,922,490,077,
209,076,909,748,226,470,843,927,867,772,271,466,890,643,881,269,127,669,332,
204,347,752,958,503,229,297,530,369,708,977,249,330,458,931,036,702,145,337,
219,866,098,708,160,141,815,189,762,420,363,231,490,400,747,760,937,110,694,
362,920,417,719,167,525,475,406,332,884,472,342,417,218,334,584,632,178,954,
463,015,875,518,868,114,552,320,771,811,303,155,477,157,478,263,813,917,488,
264,621,008,587,083,524,725,494,428,356,786,300,799,176,443,264,055,988,888,
322,275,038,656,566,675,497,799,312,022,620,373,146,774,396,193,865,956,331,
234,940,589,392,190,680,007,155,432,916,031,515,252,833,924,238,622,042,477,
368,438,566,001,675,079,407,279,218,217,060,416,597,611,901,583,813,430,404,
334,217,605,355,811,718,255,776,688,374,290,708,935,934,425,963,775,986,753,
758,867,845,378,081,490,600,533,579,969,391,100,436,299,600,733,144,513,725,
077,515,655,370,462,291,127,060,995,399,033,021,062,193,384,653,240,721,561,
178,221,062,680,458,268,064,945,639,580,695,970,334,972,878,928,322,528,785,
139,347,423,316,579,626,372,074,169,327,569,864,989,069,242,387,466,855,453,
254,536,136,162,955,662,513,421,510,697,458,555,144,993,053,640,803,940,507,
033,377,877,078,926,752,190,256,547,244,921,271,828,908,983,004,827,069,335,
138,601,819,151,268,104,039,787,106,338,475,935,994,654,534,805,942,015,863,
027,483,071,697,390,286,685,392,454,278,722,772,292,065,844,945,529,631,483,
184,142,725,995,912,354,356,157,630,115,648,361,990,502,635,291,713,651,562,
079,174,951,831,035,954,738,359,648,033,604,036,848,820,195,294,044,314,146,
721,439,773,607,286,324,099,448,219,089,407,889,583,610,246,893,089,592,903,
947,799,432,517,774,033,737,392,080,598,383,828,252,154,989,345,239,770,869,
418,498,059,030,665,648,525,928,964,233,291,216,067,420,397,307,231,721,206,
168,957,926,300,309,246,786,505,842,753,325,259,114,755,705,267,800,046,319,
753,297,958,404,840,410,727,947,372,196,484,958,778,891,838,030,724,893,490,
370,852,586,278,323,125,629,001,149,481,568,303,329,825,841,010,712,127,271,
575,902,752,221,665,037,675,664,080,289,465,055,140,084,904,363,078,328,091,
525,735,325,047,373,402,428,764,583,350,800,501,691,343,314,041,845,749,995,
867,557,191,291,341,813,800,022,212,896,378,878,370,659,665,894,914,229,164,
825,925,068,481,168,972,207,741,096,346,552,591,913,724,371,953,570,770,263,
820,731,691,808,603,633,392,860,382,013,471,561,404,975,750,719,718,399,137,
431,788,759,188,338,370,705,943,765,712,613,931,114,923,239,304,269,882,059,
527,766,006,492,452,898,954,593,467,219,749,396,110,344,492,615,173,705,274,
639,640,503,665,425,376,596,977,267,088,104,824,479,124,913,313,856,693,249,
271,640,748,517,873,134,643,133,828,428,518,830,512,675,289,088,100,254,598,
098,943,852,714,646,938,213,293,651,405,449,309,136,086,903,940,933,350,389,
464,770,682,443,138,500,647,839,240,261,349,870,850,112,646,175,488,353,340,
249,627,710,576,011,108,628,360,669,077,192,924,325,371,370,950,331,507,170,
155,034,039,104,826,075,409,163,067,125,503,348,899,025,521,041,054,782,974,
069,691,472,550,242,108,539,287,370,983,721,887,283,317,309,986,241,396,319,
366,478,594,364,619,544,798,910,484,454,185,078,470,015,381,688,595,941,259,
754,287,336,512,309,948,051,661,808,547,549,844,423,645,146,473,918,782,737,
755,648,558,498,919,472,388,488,080,520,855,647,493,765,095,630,765,671,601,
487,208,013,241,073,770,273,282,996,579,700,984,255,182,240,354,567,111,283,
559,889,076,116,559,923,303,643,278,380,751,912,435,223,983,735,114,631,142,
959,664,794,118,397,346,178,941,244,269,744,165,513,061,860,255,030,189,009,
709,100,422,172,911,777,892,521,688,469,259,502,184,926,688,333,034,147,893,
120,493,324,377,669,848,925,174,756,881,011,409,781,645,439,399,428,559,332,
656,335,114,562,775,671,535,456,318,167,343,104,727,958,202,987,626,160,617,
655,589,950,307,118,945,662,868,937,811,653,524,471,038,339,203,604,471,238,
338,845,532,374,426,839,845,484,589,637,366,258,545,722,516,663,896,483,691,
212,004,364,370,538,162,396,055,069,292,148,273,385,588,036,046,053,374,410,
382,948,184,765,782,390,336,044,989,663,008,416,035,385,100,605,339,906,749,
915,955,775,728,057,708,735,637,489,458,398,521,443,929,275,515,198,464,116,
166,503,294,581,382,673,686,027,598,363,196,432,808,967,533,039,140,060,314,
603,265,291,953,534,762,020,662,608,717,957,484,045,374,042,381,564,226,896,
010,517,469,546,154,517,354,953,844,149,219,592,476,135,873,438,401,316,500,
269,627,961,711,862,530,963,322,426,475,889,203,452,323,175,841,832,454,312,
001,491,409,185,789,831,723,051,480,283,703,722,823,236,208,851,874,470,436,
114,817,111,224,598,499,754,696,476,660,870,323,571,880,106,328,950,770,318,
804,914,161,658,446,482,787,024,626,305,297,610,580,110,238,692,512,084,079,
009,579,350,655,530,993,736,039,243,015,356,122,470,506,393,002,165,684,754,
668,199,656,915,702,926,092,765,700,653,031,524,295,385,786,433,055,742,781,
137,297,987,228,604,020,525,965,076,270,369,718,264,420,728,149,840,279,379,
637,570,685,765,825,735,965,853,312,947,872,541,795,442,058,187,417,375,192,
972,677,910,642,589,466,691,308,502,011,096,862,417,074,803,754,125,048,174,
468,040,628,640,618,878,981,429,251,926,128,480,352,743,599,133,974,695,605,
078,598,073,966,766,970,826,057,885,033,557,826,925,436,802,141,616,746,434,
027,101,656,391,996,292,201,705,059,387,305,086,485,490,698,569,832,224,796,
002,962,882,381,839,985,002,033,534,824,962,565,972,726,891,051,797,379,059,
507,183,036,471,464,707,015,058,387,808,073,067,005,143,606,047,123,364,207,
013,635,944,513,629,067,645,609,731,879,824,466,894,733,043,644,183,520,838,
627,871,396,123,102,922,195,668,932,345,981,647,648,471,390,538,238,109,183,
552,540,445,694,471,249,454,820,995,110,813,128,029,935,036,040,348,694,295,
364,641,785,847,366,158,703,966,064,747,750,678,105,844,364,711,175,968,793,
957,556,632,940,099,045,028,361,705,965,175,306,758,039,788,464,110,247,763,
010,234,512,048,622,405,184,988,662,482,474,049,873,941,002,069,500,175,176,
990,154,849,438,952,440,224,646,449,493,829,444,178,777,673,594,680,060,194,
171,848,132,513,967,169,831,846,255,451,268,304,471,212,694,789,259,205,321,
790,775,432,724,010,000,830,783,068,690,144,129,004,716,072,443,308,457,296,
845,063,090,789,040,146,288,779,155,946,167,107,093,880,878,416,950,891,232,
981,002,368,497,154,281,324,498,044,262,150,377,196,983,386,345,247,409,298,
555,461,410,038,387,366,397,261,660,241,999,394,081,883,760,162,926,847,512,
748,728,361,883,294,045,715,582,083,734,431,308,384,876,728,577,122,093,782,
121,875,818,562,398,683,563,091,681,938,097,762,439,450,751,010,025,032,599,
462,156,194,029,098,605,888,130,026,665,251,083,682,583,043,600,249,311,544,
805,481,398,218,717,477,537,970,374,687,117,926,056,892,810,651,565,386,776,
199,963,502,531,414,239,293,413,782,699,358,639,431,572,165,983,467,591,243,
634,642,883,602,323,017,202,121,561,232,468,615,590,041,982,660,849,152,979,
875,940,650,906,914,019,104,570,125,977,457,638,778,673,596,255,068,565,304,
896,200,797,919,279,563,979,257,727,679,316,423,844,052,920,448,083,907,128,
195,006,461,530,563,856,262,142,319,219,433,637,343,540,223,180,648,993,187,
973,147,202,120,120,872,271,627,927,342,722,504,678,053,645,256,972,779,653,
172,800,421,618,283,244,787,015,717,327,920,904,149,468,615,645,325,771,039,
220,136,941,592,661,607,993,888,452,821,036,556,503,305,904,129,078,170,989,
131,420,739,718,480,866,835,918,064,886,337,166,230,107,153,235,363,437,298,
231,392,741,621,699,607,542,240,428,930,750,489,762,700,276,454,258,498,457,
529,622,019,231,663,953,960,170,902,805,777,228,259,307,277,699,781,625,393,
771,103,097,589,952,705,049,490,883,408,419,587,285,431,197,175,756,760,577,
121,972,308,839,124,761,211,273,474,326,546,517,168,943,010,975,128,192,249,
254,725,441,849,666,200,990,353,643,472,221,259,335,046,786,068,970,306,691,
776,984,632,607,249,386,797,651,162,082,685,626,254,150,888,687,501,203,270,
834,967,783,354,752,749,305,260,643,018,992,876,352,710,676,643,644,080,140,
424,913,420,428,464,293,655,506,871,333,928,330,226,488,722,494,716,449,082,
898,553,757,024,220,291,577,748,215,764,319,599,155,674,365,756,909,272,368,
183,670,876,776,904,508,463,593,417,010,594,263,617,065,049,365,823,591,053,
753,003,216,764,895,109,279,047,340,098,066,565,449,230,777,724,179,378,648,
944,936,426,594,575,553,468,802,241,431,091,507,046,567,745,347,242,548,695,
813,996,462,441,611,374,946,660,859,701,741,972,879,664,373,254,433,242,808,
019,930,191,876,733,044,142,786,357,422,270,223,745,735,301,644,021,356,454,
770,341,695,409,599,604,948,530,409,965,280,344,968,282,782,246,798,282,470,
353,766,001,073,122,448,817,768,244,436,456,816,022,516,672,968,970,527,855,
506,795,493,363,001,379,312,828,386,487,252,142,906,110,335,316,128,028,839,
980,674,519,646,066,802,221,067,630,926,677,463,630,180,172,573,276,215,719,
219,619,524,787,167,281,008,282,841,734,190,084,325,266,542,746,947,627,175,
029,900,841,331,259,629,446,947,187,163,156,020,057,503,108,575,279,444,180,
386,418,346,371,066,787,459,342,129,288,026,886,441,942,564,167,429,018,430,
204,320,016,252,679,095,765,108,174,635,253,997,994,250,958,410,247,674,886,
040,127,080,510,923,896,207,823,086,292,870,462,664,006,237,216,968,171,013,
089,897,501,295,856,896,772,120,119,550,634,090,947,846,933,458,790,193,575,
221,864,476,199,174,101,141,389,207,309,889,127,610,769,710,065,459,634,727,
745,649,827,627,408,326,432,378,507,028,338,281,613,170,829,357,737,909,177,
708,128,017,497,763,679,453,446,662,318,361,254,290,527,015,550,971,097,337,
453,112,502,391,114,825,059,589,240,814,439,186,280,485,704,189,530,565,829,
491,976,527,418,372,105,781,367,467,617,829,780,277,197,090,274,369,041,759,
980,928,826,181,223,827,032,501,609,757,724,146,272,288,756,458,488,861,535,
664,235,198,133,257,674,273,879,468,737,203,639,138,045,252,334,338,899,155,
930,399,854,640,818,114,244,613,036,775,519,483,950,550,601,939,062,656,090,
683,331,784,640,314,592,020,344,963,731,840,345,223,653,108,744,621,408,305,
932,851,509,850,716,751,250,998,473,156,183,976,850,551,547,997,014,796,292,
893,005,242,547,665,282,113,364,126,154,994,265,873,296,888,232,529,137,649,
474,746,492,006,635,691,490,846,451,441,120,895,627,887,922,752,042,737,001,
271,667,910,412,765,094,482,525,740,957,194,253,686,002,575,252,960,000,254,
159,389,830,444,900,012,144,982,052,559,729,884,474,244,164,139,228,175,248,
430,235,457,069,451,429,304,258,370,756,302,834,036,145,482,739,177,689,929,
205,928,204,882,664,634,361,519,950,788,740,819,525,991,795,977,143,473,505,
839,942,897,824,626,514,258,851,225,875,342,679,442,768,270,590,156,701,566,
877,426,777,771,336,183,254,230,693,799,720,794,056,281,253,255,251,900,450,
612,175,485,120,804,763,104,783,295,916,530,509,126,794,285,281,613,477,906,
681,204,121,717,363,868,719,146,500,961,614,551,444,030,705,153,893,917,273,
975,252,080,365,624,701,677,477,164,822,112,960,809,757,033,317,244,157,112,
946,354,987,593,687,595,704,486,312,150,727,466,296,801,325,142,714,672,565,
856,769,456,184,267,859,175,500,234,628,835,207,544,786,484,587,024,591,426,
948,950,987,867,031,157,842,685,391,446,581,674,232,534,488,340,240,466,572,
968,128,044,640,193,091,615,719,086,933,114,172,185,187,483,256,744,493,543,
407,239,050,080,917,971,001,666,704,893,023,176,556,545,844,233,824,253,979,
470,130,813,999,889,517,957,039,796,651,275,128,071,146,281,592,234,533,208,
116,739,998,964,676,247,089,231,099,082,824,298,668,600,271,561,325,719,662,
561,597,768,018,821,446,003,468,213,006,052,651,913,714,989,455,750,791,998,
821,264,359,721,229,001,219,522,488,027,916,499,206,392,750,069,901,596,809,
483,197,949,890,194,165,941,833,115,102,098,929,381,423,329,484,198,209,332,
554,376,592,400,763,435,301,611,007,515,668,426,534,776,928,283,061,086,720,
800,903,898,497,080,857,950,372,695,383,977,266,993,381,578,738,779,191,981,
908,601,196,672,469,117,237,316,252,157,446,830,952,628,912,974,034,613,565,
986,689,605,506,239,026,030,543,024,877,666,921,289,852,415,946,926,995,635,
528,151,855,455,700,868,897,085,405,892,383,649,192,807,550,817,562,879,350,
138,987,060,346,877,640,399,880,881,367,286,449,037,877,681,942,728,922,482,
702,190,173,061,639,692,083,658,713,587,072,394,167,529,437,893,195,780,274,
798,314,003,145,052,618,531,685,633,648,063,060,906,981,354,624,872,296,514,
936,254,743,099,617,699,749,941,786,474,312,049,107,517,671,666,778,812,265,
930,088,445,236,800,001,045,536,081,473,322,182,750,936,305,559,673,716,425,
810,147,485,405,889,966,147,244,612,007,288,980,182,535,761,981,866,996,223,
970,570,915,246,957,663,000,940,788,039,563,514,069,251,423,711,914,201,481,
867,458,736,922,199,532,182,190,725,156,671,330,689,122,217,448,378,363,021,
475,759,659,710,355,853,244,384,349,926,640,104,498,802,391,749,886,224,728,
441,620,114,274,590,310,652,473,360,595,193,012,225,065,756,512,324,417,693,
385,739,732,487,308,196,901,198,257,607,215,891,321,674,079,091,105,219,814,
305,094,090,653,531,199,915,975,847,517,899,235,657,411,288,577,584,775,620,
449,481,716,219,867,225,042,681,706,991,234,989,998,522,395,310,867,277,411,
041,365,778,475,364,943,841,637,179,329,934,527,055,679,161,097,756,500,843,
251,953,847,451,461,384,122,937,558,496,299,868,053,407,391,830,015,245,957,
728,279,543,489,991,149,956,320,672,292,188,624,256,698,092,041,851,894,966,
776,835,564,322,783,572,748,341,943,276,031,188,531,991,388,505,624,845,470,
489,540,824,396,562,310,250,275,274,881,160,245,622,912,964,053,494,641,372,
749,810,831,853,081,792,666,610,967,688,036,124,425,293,731,269,102,421,778,
222,567,948,624,912,284,839,076,919,649,439,609,427,698,329,035,828,966,970,
803,154,908,521,986,624,573,542,119,667,683,371,409,538,345,839,046,764,132,
671,669,051,023,573,212,696,626,482,105,570,490,422,308,167,180,610,800,949,
975,191,219,333,390,765,434,671,541,819,201,006,529,816,135,368,649,649,285,
399,108,050,116,914,306,865,836,834,835,266,641,181,565,351,369,090,758,569,
432,876,000,788,979,227,412,926,188,327,725,402,723,956,066,930,804,727,976,
656,391,990,644,213,849,237,674,642,971,335,565,000,820,432,204,685,666,970,
088,440,255,225,335,251,361,957,439,289,271,776,049,670,606,643,160,040,064,
349,592,369,439,433,968,346,931,069,387,329,008,067,788,683,821,893,954,244,
722,183,250,121,338,941,612,444,988,291,697,488,051,212,191,846,706,572,929,
878,837,366,260,105,866,479,561,292,062,655,289,572,632,608,711,857,647,783,
786,874,749,427,873,740,897,065,187,222,074,509,521,977,514,412,954,022,988,
671,602,009,528,431,769,396,070,289,687,913,719,319,308,054,621,520,152,259,
762,645,537,437,351,041,438,022,344,801,843,965,378,503,835,257,886,751,909,
977,390,879,805,834,520,022,591,223,476,255,445,115,506,586,509,136,626,789,
085,629,423,895,702,978,141,777,646,962,234,247,836,691,511,897,617,426,210,
081,143,795,254,967,678,283,477,614,113,855,749,535,371,179,144,568,916,086,
730,336,578,058,550,013,283,479,793,975,321,593,010,287,162,468,680,666,033,
703,738,384,306,241,100,027,598,531,139,286,811,965,351,321,349,103,315,364,
877,987,758,682,133,464,392,307,486,080,502,696,022,065,512,106,034,893,780,
829,928,108,698,121,085,721,933,697,388,982,284,994,310,358,130,798,341,659,
581,950,554,403,127,163,738,405,128,377,465,105,854,867,003,413,423,979,278,
453,499,422,022,203,320,457,253,436,619,422,994,588,427,563,846,803,521,579,
730,078,741,163,513,642,608,597,572,601,323,560,289,642,334,090,093,897,139,
999,747,729,627,972,168,790,226,382,539,878,800,464,539,949,496,440,267,955,
351,647,594,081,906,089,945,391,124,785,759,506,777,049,226,542,648,908,195,
885,422,854,669,404,176,569,403,117,703,803,234,055,718,056,587,327,274,802,
030,894,956,554,758,462,590,145,812,668,611,735,160,872,275,947,878,849,373,
133,129,525,593,868,857,180,858,062,270,777,119,121,029,649,738,428,853,830,
016,074,910,049,368,499,546,631,041,242,670,578,793,839,692,405,020,802,524,
878,026,121,210,219,767,863,497,490,798,108,077,846,984,424,937,140,002,121,
623,808,135,011,683,297,932,805,553,889,321,685,123,947,598,167,638,089,945,
784,715,370,878,271,237,194,472,791,352,262,512,696,044,100,524,884,694,041,
543,955,048,382,126,399,323,899,194,287,927,718,877,452,546,048,225,981,334,
701,815,084,724,580,807,107,252,200,088,411,309,026,339,790,696,928,586,156,
726,190,726,578,017,184,673,711,267,143,208,123,065,763,791,683,149,733,622,
151,227,234,764,364,274,506,769,054,494,395,879,293,362,575,973,479,596,830,
122,340,668,130,013,144,960,457,532,305,329,432,456,063,151,453,976,136,167,
979,851,918,403,907,946,132,801,208,289,511,451,161,575,830,853,624,338,414,
135,813,646,951,666,389,662,152,339,999,099,852,693,325,050,121,257,090,628,
429,259,885,183,473,071,037,906,699,769,288,926,155,537,064,234,500,916,529,
220,380,248,684,555,502,265,517,731,920,816,512,465,108,759,796,506,648,740,
837,607,570,660,501,735,615,674,897,325,209,417,438,607,043,322,930,718,209,
551,647,465,335,562,554,112,520,361,349,141,876,353,798,902,646,412,970,718,
428,732,393,803,004,928,037,371,943,080,134,516,132,642,771,943,544,316,507,
915,742,312,806,456,721,247,760,037,363,358,163,386,769,906,511,096,467,751,
164,726,421,850,792,513,878,915,967,495,464,434,606,794,833,526,862,420,728,
067,478,555,226,051,846,645,009,514,595,633,001,218,193,644,074,266,429,079,
490,612,063,553,916,858,410,952,254,237,467,855,795,569,744,200,271,292,083,
199,023,947,178,539,880,248,518,467,062,703,319,604,420,653,145,613,762,101,
142,841,983,125,454,030,917,659,884,217,857,218,822,115,163,988,941,943,228,
368,540,860,540,354,449,887,395,453,681,515,669,088,224,084,680,159,078,758,
330,211,585,932,614,178,369,838,512,766,243,104,770,531,547,263,263,452,826,
287,501,056,848,450,900,661,238,936,167,554,245,285,513,089,016,531,063,433,
393,228,574,107,454,416,789,532,362,387,536,085,551,262,524,269,882,542,204,
023,741,028,460,535,869,589,493,195,313,561,329,554,203,815,792,314,740,491,
034,162,613,517,670,661,780,728,667,584,448,501,045,140,842,697,226,985,584,
623,641,161,556,658,419,445,911,654,647,712,937,647,988,692,868,182,578,286,
396,039,498,373,781,081,011,914,645,369,073,542,434,146,549,055,885,113,377,
813,898,105,534,098,115,060,868,209,433,520,698,562,482,481,464,165,348,127,
124,217,853,165,245,996,050,490,969,292,217,709,356,577,143,837,287,425,975,
248,230,264,482,106,987,970,440,163,614,529,355,571,215,003,406,791,724,396,
895,617,062,257,598,266,379,109,801,390,454,561,424,366,817,352,723,675,110,
065,287,164,286,691,750,547,265,217,994,049,194,688,565,076,247,640,060,951,
237,806,925,664,330,078,866,776,554,549,154,658,225,696,056,785,850,492,627,
678,013,600,833,037,733,464,915,195,783,134,749,980,042,676,207,073,599,003,
086,328,807,704,291,794,448,036,154,411,975,374,278,704,342,934,421,054,523,
702,979,694,393,717,680,540,578,709,277,140,512,681,714,900,861,318,860,941,
040,419,281,775,437,354,141,326,276,527,022,052,798,247,487,589,160,854,239,
670,117,937,287,731,454,312,897,192,604,200,134,670,479,939,764,879,053,119,
862,451,558,952,301,786,132,816,670,243,939,998,473,862,676,007,571,155,339,
952,820,293,658,554,781,653,585,975,566,007,290,310,498,188,803,675,574,996,
856,926,100,151,797,554,856,189,324,324,430,424,533,471,552,312,839,059,121,
320,844,890,298,082,514,686,040,670,998,195,752,512,315,052,837,388,247,280,
512,827,584,222,929,625,200,332,242,599,658,620,023,585,616,709,082,111,112,
073,871,901,631,363,714,308,863,692,261,315,200,697,507,104,434,738,058,624,
336,345,851,290,223,202,787,549,598,120,461,913,675,902,524,020,611,048,072,
745,716,534,475,177,271,770,976,253,078,354,568,455,919,704,679,940,871,482,
058,617,990,131,001,020,738,939,995,337,398,831,890,897,918,452,732,387,293,
521,694,052,637,118,726,765,469,171,739,020,431,328,904,350,665,891,890,188,
670,823,320,184,623,693,274,468,018,662,325,102,553,177,685,310,758,786,592,
447,005,303,120,371,806,643,464,043,576,374,743,335,741,752,161,084,591,994,
548,182,318,118,868,696,832,993,790,773,989,285,284,931,573,507,693,469,866,
563,527,175,019,946,731,746,548,458,291,021,750,605,074,953,517,839,249,810,
965,822,179,397,855,612,263,979,584,310,641,927,477,762,271,731,693,884,626,
334,561,305,392,665,133,662,094,369,584,828,905,915,578,035,362,348,224,733,
390,804,469,378,363,970,177,432,342,872,126,775,082,337,891,124,588,267,151,
636,069,388,009,680,948,753,348,744,732,740,933,208,185,330,140,932,828,928,
462,128,887,035,385,771,315,905,916,829,875,578,394,907,188,498,519,104,902,
054,453,652,671,149,005,035,960,850,902,479,945,410,973,528,595,966,768,716,
359,672,241,170,883,949,013,333,200,041,449,877,990,397,579,271,686,951,849,
972,065,308,906,923,806,380,814,039,327,226,315,016,107,977,692,694,359,392,
078,353,534,423,634,410,358,430,126,789,819,666,174,780,502,309,260,174,983,
034,773,657,954,799,974,955,890,159,211,498,900,856,980,164,334,147,105,594,
322,828,598,455,171,736,616,129,705,159,984,806,646,170,337,136,699,599,284,
350,694,130,909,127,576,322,363,972,250,165,879,883,473,914,789,329,515,770,
107,921,431,339,119,886,308,625,879,778,973,336,835,871,900,037,395,943,676,
136,966,334,816,795,894,685,278,743,485,841,999,038,234,976,783,302,266,711,
636,921,701,012,656,803,757,373,010,767,347,073,516,789,705,208,586,683,771,
687,268,698,738,691,294,969,827,142,262,247,538,209,515,044,642,645,679,015,
884,312,701,949,025,196,632,950,931,757,570,886,247,794,388,460,564,242,325,
294,582,686,828,463,076,274,290,408,628,100,936,676,006,010,605,463,135,905,
463,804,494,368,539,964,951,374,030,859,363,637,493,931,587,806,616,298,497,
878,998,373,114,656,176,737,674,492,022,795,348,166,312,387,387,249,240,107,
123,216,189,430,046,647,514,092,122,270,350,955,400,799,163,410,033,029,212,
949,115,364,617,305,769,144,178,432,436,920,119,513,079,495,707,910,054,151,
244,437,598,519,256,572,381,223,024,992,382,938,389,024,167,520,321,982,157,
703,234,757,417,160,631,985,551,028,066,130,738,828,212,000,536,671,934,501,
973,520,466,436,295,267,109,736,838,324,787,199,421,635,191,294,582,181,383,
867,056,838,803,648,909,197,973,406,423,189,671,918,132,059,676,861,113,597,
600,508,499,410,238,993,689,440,337,053,483,617,870,836,677,366,341,559,116,
441,535,131,735,039,019,433,845,537,875,502,956,935,151,071,277,384,152,277,
686,167,956,757,705,683,795,795,811,216,441,500,403,655,909,722,932,398,229,
546,820,942,995,886,540,928,285,311,845,632,097,738,182,262,922,584,144,906,
047,785,995,520,898,520,790,501,859,464,743,796,412,785,013,019,619,252,887,
824,232,749,064,089,788,233,090,963,326,016,670,813,579,006,316,045,047,446,
950,459,613,787,303,157,549,990,575,756,454,057,353,936,833,592,496,205,703,
825,454,285,530,159,121,223,801,422,770,857,495,705,690,145,402,044,839,604,
288,961,911,343,212,000,206,511,719,869,886,076,046,291,019,115,866,901,301,
236,399,927,811,298,107,164,914,588,572,096,547,757,391,207,616,194,938,404,
686,543,880,326,235,325,356,310,121,770,391,905,908,264,225,475,820,729,579,
601,920,467,311,948,167,968,025,930,370,254,770,211,929,964,429,583,906,481,
098,644,124,508,549,930,513,348,748,294,395,369,040,215,435,059,709,474,298,
156,962,475,127,524,224,596,003,973,483,203,669,338,502,412,070,880,011,116,
031,163,454,727,694,769,717,705,631,140,750,018,892,133,748,051,664,702,523,
845,481,477,685,621,855,892,258,068,353,702,224,554,471,884,601,777,001,599,
646,028,611,800,656,898,746,375,420,554,142,842,869,854,421,842,537,093,170,
523,555,361,242,253,040,923,628,207,075,430,917,252,629,434,526,550,815,131,
933,748,919,359,391,058,654,323,703,265,990,845,474,710,315,801,125,628,462,
838,889,932,461,733,004,711,577,748,636,699,755,786,604,324,350,674,968,080,
117,369,731,109,115,139,673,989,821,370,205,244,928,006,519,197,515,475,000,
220,718,278,990,221,700,780,358,848,848,782,990,151,322,175,942,223,017,638,
527,326,894,932,968,478,591,577,869,446,102,491,382,852,920,164,883,509,660,
519,476,945,347,014,225,006,227,000,615,040,871,830,122,138,524,967,492,379,
593,462,149,855,132,950,303,588,383,142,219,939,991,316,772,246,357,622,541,
003,797,082,804,244,762,176,926,190,167,144,025,577,475,845,002,811,853,800,
594,746,421,369,598,165,190,559,569,401,144,345,306,268,751,542,971,666,955,
657,627,759,408,068,068,772,638,498,513,579,321,587,400,712,617,029,238,794,
983,192,526,513,771,364,265,089,658,206,071,062,816,286,806,148,933,074,434,
281,612,484,774,712,926,900,873,135,629,371,756,215,948,214,594,279,279,095,
744,862,583,771,795,470,120,605,401,780,325,766,028,508,992,270,745,300,641,
244,986,813,793,426,375,448,043,374,168,488,592,220,787,805,935,825,934,625,
551,489,294,961,961,252,144,846,613,074,486,355,610,512,531,343,610,428,779,
626,035,824,647,160,203,063,773,494,229,185,959,801,463,299,216,057,395,280,
068,280,155,900,923,872,895,505,381,727,437,304,096,357,524,692,919,109,014,
710,660,355,328,903,137,962,119,089,162,776,434,999,328,861,169,518,496,469,
959,081,535,491,034,867,236,659,552,128,871,591,485,898,386,001,229,275,085,
381,668,027,021,508,924,771,678,074,603,241,655,666,473,088,546,566,752,314,
460,996,407,629,689,470,476,492,684,739,220,948,392,425,075,962,476,134,021,
804,987,744,282,771,263,737,918,208,172,494,260,791,843,703,899,953,177,067,
475,277,205,111,480,535,087,051,667,791,777,603,170,331,370,574,072,224,368,
151,877,546,480,862,049,271,845,998,778,421,600,517,935,237,061,624,351,064,
888,914,103,413,118,084,367,314,936,271,727,024,797,375,514,255,938,911,789,
597,698,619,007,281,489,224,432,640,964,923,507,540,473,663,780,675,100,166,
336,728,843,082,330,913,678,628,706,194,055,707,406,239,156,414,443,757,508,
646,410,289,347,552,717,759,078,075,802,817,952,873,777,232,318,232,006,213,
830,332,942,070,904,025,923,125,613,329,860,338,793,526,011,878,190,045,575,
499,343,446,975,929,622,691,299,568,843,173,630,787,864,956,251,955,718,268,
892,139,989,897,380,828,202,979,290,475,611,125,735,435,910,246,405,801,537,
167,143,880,913,297,150,028,571,714,165,021,550,483,332,735,133,012,978,651,
010,036,546,486,639,580,977,138,533,747,135,992,602,812,997,924,730,284,657,
686,943,139,210,373,762,690,118,768,288,489,972,424,193,910,980,047,424,920,
907,784,345,837,524,548,803,847,408,145,228,388,152,332,342,446,219,006,955,
570,517,080,248,545,772,110,492,395,912,024,298,385,773,236,065,700,456,703,
748,001,564,082,696,418,579,225,837,699,950,954,917,329,754,046,449,310,970,
961,126,652,010,676,447,419,431,910,982,584,708,813,393,584,037,437,994,177,
818,240,044,614,584,481,728,541,869,549,734,761,391,263,781,062,995,508,189,
538,565,198,052,150,410,776,825,671,656,682,642,086,487,105,195,968,326,229,
053,502,910,936,731,511,265,437,686,534,483,917,727,684,482,359,377,801,514,
898,209,441,226,330,380,064,584,970,219,975,206,886,349,889,649,250,197,130,
915,917,692,911,265,523,231,196,419,155,167,146,371,045,654,389,909,302,334,
998,717,538,700,878,886,720,957,478,706,897,382,665,520,370,254,752,006,936,
161,861,331,994,475,738,868,563,845,019,378,505,172,722,430,167,027,514,937,
910,186,916,558,181,288,411,391,627,157,036,498,460,772,197,716,586,405,651,
171,327,971,268,503,520,918,693,133,521,243,015,680,835,412,075,607,582,717,
448,078,003,394,196,260,189,914,943,555,808,040,052,540,320,344,764,885,159,
248,195,928,587,259,864,287,652,941,454,495,919,120,549,739,889,539,493,717,
853,524,476,835,868,311,659,480,427,126,790,201,775,375,885,117,452,646,561,
286,334,976,695,720,796,209,471,808,145,202,402,337,986,939,415,210,206,694,
251,126,768,856,779,556,463,262,714,911,408,937,154,069,986,591,224,543,819,
383,525,005,453,970,537,131,244,341,504,031,500,701,851,532,239,772,464,241,
609,407,382,022,652,608,958,688,913,246,016,159,753,908,082,272,927,415,394,
393,336,814,301,832,939,019,897,803,939,888,891,113,928,186,623,866,938,150,
267,155,827,164,481,450,893,327,314,284,240,008,703,237,315,952,317,529,007,
157,894,277,818,900,359,292,120,742,245,431,411,493,454,014,857,013,855,506,
851,330,838,504,836,727,653,334,626,547,615,637,319,043,598,407,082,847,091,
757,090,334,964,375,471,462,537,720,995,303,355,310,076,131,058,046,921,853,
792,588,713,020,508,136,738,956,157,314,843,982,976,619,672,300,581,784,510,
082,345,972,611,135,638,657,471,612,318,902,724,888,903,003,697,009,454,538,
823,756,612,592,185,925,606,262,937,002,599,652,581,985,920,410,612,287,070,
653,605,902,615,063,249,801,364,100,842,912,159,098,308,772,888,946,988,180,
116,064,689,054,178,557,682,940,759,896,676,738,946,687,964,560,374,322,457,
741,971,750,687,802,464,733,231,241,946,118,026,087,751,125,899,827,604,859,
946,676,597,075,269,348,207,231,616,856,565,186,219,717,657,941,028,941,482,
390,851,608,561,763,078,952,521,480,287,967,699,504,695,620,836,825,696,859,
200,441,619,627,223,968,238,788,152,998,455,448,371,812,302,850,307,668,815,
770,269,165,251,915,284,153,331,983,722,880,908,126,165,248,790,151,889,486,
234,570,896,162,138,099,544,175,379,432,425,301,955,673,243,674,608,793,724,
054,754,266,249,589,322,111,619,087,594,487,302,767,356,971,006,019,369,781,
769,068,726,858,389,714,589,367,366,560,123,698,732,064,150,719,699,800,197,
303,785,697,072,061,990,771,592,692,584,571,657,018,789,400,575,168,734,114,
333,745,874,259,783,242,794,764,496,506,809,978,131,140,785,219,653,870,191,
859,284,943,551,054,721,011,699,406,704,247,243,503,305,400,298,621,313,132,
435,690,867,870,890,075,600,565,237,921,614,408,160,897,074,152,749,404,681,
376,530,474,385,193,024,602,378,140,296,077,211,128,037,557,310,597,864,233,
941,927,403,044,766,601,581,918,514,081,455,443,952,791,703,423,758,476,026,
920,933,674,917,060,950,927,630,872,920,249,295,591,641,861,957,693,465,651,
557,693,763,445,657,869,069,462,010,999,053,057,311,506,360,346,400,757,537,
422,494,910,364,140,292,979,752,784,424,813,503,162,820,462,558,984,879,349,
296,485,757,494,109,341,281,070,931,669,157,573,958,512,125,855,169,434,215,
050,753,251,763,696,987,035,914,484,830,722,224,440,338,583,862,685,864,480,
331,932,144,508,904,413,131,597,894,450,387,121,171,004,477,781,108,210,432,
859,978,525,712,581,424,085,653,460,748,580,770,235,016,797,679,358,851,912,
251,467,640,753,889,820,770,959,660,526,134,394,815,930,624,260,290,624,939,
258,632,833,686,553,490,835,277,237,503,790,390,203,895,984,795,722,617,228,
174,680,034,047,392,241,389,558,932,987,757,339,220,390,820,874,609,758,666,
062,209,812,873,485,525,128,315,617,875,937,486,275,409,725,140,628,398,685,
120,360,209,163,748,764,473,711,082,455,119,239,099,221,963,340,597,769,497,
180,220,653,535,743,920,047,069,256,688,151,644,924,150,423,320,524,409,735,
091,024,526,363,561,977,696,722,400,950,892,829,263,058,900,356,738,185,958,
239,793,393,303,192,966,672,574,297,677,988,021,628,834,828,321,551,663,195,
002,521,615,717,927,280,445,845,981,966,261,840,395,429,781,868,916,077,862,
593,049,195,631,406,348,546,572,520,193,381,342,649,890,190,801,579,244,659,
614,527,756,656,589,172,696,322,254,196,443,553,471,493,083,598,427,570,800,
194,710,560,266,806,945,300,194,830,600,700,013,787,997,345,079,310,236,811,
071,321,011,514,044,491,588,887,943,987,057,999,451,314,395,061,448,914,215,
599,150,192,601,579,088,531,451,403,103,701,501,567,208,031,659,363,909,823,
343,248,831,926,297,117,579,724,735,392,586,138,276,546,365,131,873,084,806,
284,428,579,631,419,105,627,955,625,619,170,743,617,061,738,349,569,022,519,
580,754,084,538,974,149,057,917,063,038,147,106,407,287,313,745,229,018,372,
479,931,850,519,162,707,494,492,084,742,200,788,153,455,624,242,967,206,470,
205,545,476,611,835,507,084,577,845,866,256,798,991,961,964,489,279,280,344,
463,701,752,988,441,837,272,878,437,917,608,755,936,645,299,765,258,181,821,
822,101,468,495,491,234,937,442,006,945,672,499,188,106,870,794,165,157,849,
612,011,435,829,157,664,412,066,013,802,659,500,820,339,567,432,831,249,777,
937,233,142,830,475,275,759,077,241,156,841,487,984,223,368,649,653,956,504,
567,403,466,679,724,452,171,562,514,622,280,795,205,010,425,500,072,418,116,
124,808,241,334,350,813,308,089,634,426,285,263,316,120,087,985,560,863,241,
253,213,829,467,523,512,068,949,535,204,385,610,742,272,556,913,208,388,225,
940,314,738,464,514,391,908,504,898,005,955,444,676,442,081,053,752,885,460,
267,131,393,072,562,525,577,865,694,767,468,561,585,468,666,235,313,420,937,
708,662,994,095,827,268,926,629,912,748,280,632,965,359,992,563,506,609,235,
476,632,556,938,897,238,361,252,542,853,867,224,089,439,863,909,384,234,506,
634,437,237,885,125,688,758,608,266,338,626,354,726,552,959,034,684,861,597,
464,626,577,881,601,369,453,439,473,580,118,481,949,077,150,879,177,643,833,
226,186,693,450,230,192,383,964,985,689,465,232,059,062,716,481,260,038,383,
829,508,347,603,118,059,028,034,147,436,067,725,314,505,711,559,618,494,341,
449,641,113,777,665,961,831,185,243,474,839,073,268,707,111,701,916,109,804,
536,745,421,983,185,412,066,428,824,957,971,686,321,832,697,997,936,474,853,
896,644,924,578,519,834,243,444,921,673,166,418,086,490,625,787,355,554,001,
736,286,567,734,599,321,900,579,767,270,446,035,866,475,156,406,347,728,637,
891,373,019,291,608,911,731,234,927,894,960,119,119,758,528,512,281,714,893,
397,499,179,441,103,998,165,489,894,632,570,305,940,198,982,701,194,901,583,
297,401,818,409,359,822,606,178,055,101,997,381,286,738,272,635,440,997,097,
005,555,754,154,612,702,373,160,200,241,352,052,669,045,785,192,376,770,797,
612,058,556,988,989,451,161,406,712,523,600,459,172,810,611,960,294,675,553,
743,226,342,774,197,857,598,199,509,093,634,448,940,011,735,926,696,341,211,
903,076,306,924,982,932,390,171,504,064,130,323,510,457,408,041,125,733,345,
742,471,271,810,091,470,450,928,290,852,218,254,845,633,306,185,790,645,571,
376,748,092,914,879,458,608,917,834,061,500,680,311,759,331,763,594,294,859,
366,839,438,522,462,852,190,328,551,724,154,510,774,178,382,461,944,415,244,
734,406,576,074,151,406,941,279,054,435,533,298,874,883,560,747,791,776,606,
995,627,891,799,912,401,511,449,888,658,304,712,165,045,488,492,926,522,509,
310,950,800,229,056,492,390,185,742,020,132,729,319,756,178,846,001,159,459,
626,106,022,802,001,582,804,296,136,008,958,084,791,564,013,718,153,756,601,
431,242,150,095,791,210,341,018,444,741,063,417,065,651,099,297,948,441,745,
642,944,467,360,733,666,690,453,953,957,896,133,964,190,056,434,447,182,450,
819,232,211,165,149,973,672,636,324,491,093,420,852,183,262,460,580,844,712,
401,500,446,045,604,173,492,908,104,106,317,311,716,449,731,549,945,587,269,
695,157,136,488,858,164,785,114,005,731,403,569,668,388,930,010,758,434,863,
191,881,461,085,017,630,693,494,221,538,107,573,805,054,536,039,373,190,223,
812,347,418,626,812,861,663,931,052,053,489,892,331,034,251,943,375,001,174,
716,601,013,315,844,073,542,471,512,610,155,430,592,139,032,183,294,446,560,
777,403,849,950,327,583,921,327,301,593,316,629,290,438,270,763,823,062,909,
033,854,425,700,477,058,005,624,249,634,665,825,483,382,596,497,906,430,708,
219,232,909,623,584,462,827,851,921,295,545,511,211,312,888,129,331,810,681,
896,405,831,339,598,289,446,114,933,130,484,456,753,222,257,287,263,462,196,
952,707,383,237,191,405,453,942,255,875,907,507,933,434,670,642,890,211,924,
288,382,843,658,973,335,259,253,913,020,915,224,686,362,920,434,332,546,606,
149,024,377,233,699,980,611,628,818,556,462,712,876,630,527,395,740,886,346,
581,371,542,380,358,241,272,575,004,293,721,253,617,682,854,015,426,068,666,
370,420,440,896,536,382,783,078,181,260,995,289,048,924,267,657,844,381,611,
745,369,040,724,206,501,619,143,635,948,271,872,699,861,064,859,299,089,394,
946,095,865,092,648,130,049,999,679,859,085,373,195,792,024,849,116,778,296,
373,227,844,727,881,963,946,450,867,253,771,488,313,418,712,645,437,831,694,
250,981,799,534,509,855,075,636,264,110,064,108,585,730,363,825,671,549,905,
870,894,473,923,835,256,987,515,722,643,193,662,575,591,833,527,374,124,701,
351,135,815,069,847,982,814,073,295,434,996,109,773,299,491,270,371,351,053,
216,853,172,520,718,753,076,785,308,451,031,997,421,173,577,160,647,714,666,
622,021,001,932,050,175,899,098,837,780,058,064,207,476,874,883,805,757,699,
412,137,414,869,230,786,799,522,724,552,649,662,788,768,357,431,559,494,232,
075,214,635,314,592,094,925,416,418,299,364,501,036,266,226,630,089,458,574,
311,156,919,402,920,907,349,460,131,146,998,133,302,224,047,212,198,019,268,
055,255,893,087,938,690,232,443,008,034,797,401,493,730,505,452,096,226,997,
870,634,844,940,940,696,144,333,618,740,878,283,535,169,011,835,223,984,406,
485,511,138,040,563,706,977,914,276,798,523,372,053,904,840,083,480,434,235,
760,413,274,893,896,719,227,500,635,182,611,584,162,804,774,449,273,172,959,
985,222,638,002,025,525,359,978,057,793,845,882,148,683,218,813,574,759,884,
521,608,572,255,994,047,080,442,125,593,698,642,759,708,418,227,776,720,147,
769,215,661,332,013,700,797,322,092,486,067,755,629,482,279,514,382,086,710,
352,447,438,342,412,220,070,466,662,722,544,494,999,210,542,705,604,351,450,
625,372,344,542,774,015,587,592,997,348,119,017,569,993,714,381,855,407,497,
455,343,494,570,763,244,877,848,298,500,628,834,134,799,666,557,791,935,925,
423,807,377,757,206,081,714,325,614,250,640,639,578,877,047,979,036,850,514,
555,345,162,836,793,401,421,599,811,660,562,286,106,662,476,976,508,181,757,
911,994,100,541,876,479,558,959,986,580,352,371,495,179,974,893,817,488,496,
690,057,571,978,432,613,354,421,435,086,242,047,483,310,465,708,274,213,679,
478,927,505,487,904,481,458,855,832,909,401,225,016,217,894,677,294,065,376,
672,312,866,786,501,475,387,377,328,260,163,820,038,739,838,890,018,250,561,
348,719,803,266,954,968,433,795,264,739,735,012,359,207,044,995,578,768,535,
382,234,139,533,767,924,688,607,205,352,758,167,551,564,199,078,705,573,082,
640,539,393,838,820,845,559,393,828,815,672,685,889,952,747,109,283,858,504,
116,896,856,807,812,858,445,432,043,222,548,489,546,599,910,380,956,542,397,
862,597,648,771,953,930,292,945,064,176,910,030,240,863,493,193,791,894,632,
986,650,797,044,643,572,208,325,024,424,101,458,008,354,286,762,671,114,861,
873,804,729,307,082,778,661,669,507,827,945,776,845,522,106,678,003,851,493,
328,484,711,621,097,927,956,568,977,693,933,266,804,143,036,687,813,629,103,
356,662,633,019,560,880,636,958,279,538,367,402,020,761,772,453,506,830,618,
859,003,195,267,551,614,728,690,978,527,498,341,302,182,232,746,201,707,345,
154,090,385,289,683,352,019,943,771,661,650,550,342,046,598,148,658,042,541,
145,091,346,781,881,092,172,656,337,643,234,415,964,542,878,404,072,337,392,
544,111,566,419,164,951,500,769,681,746,141,419,386,237,160,855,556,784,537,
702,509,904,681,958,142,459,517,791,408,573,580,472,447,775,952,584,018,076,
626,169,993,154,958,470,403,461,109,920,783,519,502,488,993,424,518,858,479,
148,780,369,454,444,767,453,065,206,557,672,855,822,407,654,454,038,175,600,
158,830,189,879,439,211,410,762,880,934,957,123,126,899,729,752,639,046,015,
311,775,372,763,425,184,403,847,146,044,733,336,010,088,718,769,784,653,520,
447,419,540,273,906,722,373,250,217,786,385,415,350,834,503,072,051,719,225,
958,636,468,486,427,929,042,183,012,752,315,357,873,174,928,101,684,586,646,
305,325,114,562,887,663,029,241,898,887,490,010,069,747,766,666,770,162,729,
247,066,324,867,267,462,106,415,975,832,735,992,240,765,594,974,847,097,863,
911,990,823,986,955,234,068,270,379,099,040,514,079,852,435,947,457,060,480,
532,887,548,233,949,765,305,582,425,480,957,630,599,237,731,072,808,965,868,
541,345,785,492,729,789,694,927,278,447,637,211,726,642,280,096,102,760,918,
922,643,235,175,599,546,914,006,232,655,918,206,358,797,633,044,918,827,152,
764,662,396,202,891,001,263,475,636,301,386,759,943,673,662,440,285,838,268,
084,715,276,407,043,672,172,784,303,309,986,783,147,409,325,609,735,137,342,
927,733,245,087,746,277,918,405,173,580,301,755,260,074,423,462,450,783,862,
523,106,844,668,825,004,612,361,509,397,037,282,007,837,929,792,891,378,301,
944,401,351,862,258,493,956,060,209,339,943,817,360,713,918,010,249,907,409,
527,139,386,592,443,624,433,516,397,485,710,975,565,248,967,761,033,171,294,
026,260,224,836,053,465,670,516,186,927,511,463,335,337,689,054,572,255,917,
954,293,196,857,235,209,581,272,415,820,750,627,025,494,776,825,450,109,690,
036,618,747,868,768,708,896,965,074,246,789,176,997,555,365,517,289,056,355,
129,879,009,290,622,779,316,430,262,000,183,136,972,110,862,400,209,324,706,
556,089,542,301,314,699,897,632,601,228,026,591,145,177,215,583,704,375,710,
718,432,235,745,578,486,548,397,517,249,160,344,747,725,264,879,773,329,059,
454,324,211,595,788,276,583,288,507,546,269,967,782,720,616,967,006,176,937,
616,496,352,959,983,961,867,805,867,999,409,498,516,835,578,170,449,862,423,
970,066,937,406,584,834,719,894,140,298,199,650,426,406,927,044,009,014,247,
808,682,788,133,376,806,822,828,427,620,464,835,598,518,544,153,896,041,566,
279,251,992,650,495,934,884,865,018,443,861,141,028,317,458,761,742,914,613,
427,121,198,153,321,448,059,357,706,438,148,652,082,993,785,438,230,491,781,
142,812,282,419,815,549,318,928,477,516,145,684,428,542,735,864,171,608,076,
451,789,648,398,630,152,783,918,660,764,617,371,913,719,730,290,173,840,258,
201,341,146,246,448,179,049,194,578,041,533,042,868,538,472,561,452,873,294,
912,657,040,563,511,779,006,654,452,009,360,000,082,975,710,130,592,445,674,
454,903,355,909,883,202,340,782,138,019,629,401,477,013,297,653,908,351,970,
485,673,749,491,055,237,829,711,864,835,816,929,014,690,422,654,972,677,205,
190,355,152,442,905,483,482,052,453,280,398,542,218,748,802,034,684,091,450,
356,052,267,464,260,546,400,906,125,905,144,982,559,263,248,489,260,361,993,
035,602,877,923,477,655,188,365,103,038,970,356,722,259,999,383,651,463,855,
258,577,956,349,655,149,447,002,764,646,517,726,126,495,308,362,211,523,040,
530,071,942,791,726,151,120,208,313,273,108,164,697,017,390,371,560,131,986,
973,848,692,832,182,583,992,056,961,620,404,184,989,924,281,711,773,521,217,
808,358,583,827,014,635,319,356,585,651,979,778,110,732,897,411,081,576,067,
296,663,797,922,623,085,911,217,465,159,684,506,880,129,405,362,914,765,600,
636,075,145,195,709,441,360,382,789,582,092,851,906,894,116,278,108,128,749,
988,137,916,002,072,854,813,200,914,417,917,505,813,312,002,029,474,424,827,
272,750,635,522,067,864,854,425,232,484,627,147,487,468,942,142,833,004,711,
497,885,184,480,056,061,867,453,976,092,572,945,807,640,925,496,337,153,728,
878,016,805,620,626,289,626,742,774,379,929,271,484,278,624,049,749,336,811,
046,383,710,075,340,060,621,610,700,035,555,427,122,436,895,633,833,310,379,
207,274,914,877,538,423,968,656,707,214,731,019,741,563,022,293,802,997,638,
699,616,380,733,596,856,374,881,776,895,278,580,077,782,367,005,788,886,871,
386,510,587,554,522,366,679,561,591,966,441,831,515,515,037,511,717,181,939,
850,286,342,397,221,635,622,335,415,566,244,456,079,849,970,212,860,036,988,
819,545,276,669,177,727,261,978,826,916,958,714,185,105,736,929,339,542,492,
834,426,634,570,083,061,077,804,877,765,124,517,486,786,845,951,569,358,768,
773,780,774,533,181,557,032,050,463,907,316,778,063,305,851,851,300,195,452,
039,361,593,405,377,519,803,759,523,335,844,722,186,136,041,913,118,735,016,
926,524,707,986,272,658,474,329,723,505,412,969,323,687,384,798,226,225,118,
945,596,595,727,852,634,752,531,938,605,490,748,692,114,789,603,457,699,339,
666,778,428,527,266,846,542,968,873,367,477,223,236,776,280,328,305,102,986,
924,147,508,630,576,824,225,534,372,753,835,435,308,955,542,806,022,527,174,
282,713,940,491,451,558,325,821,642,106,064,869,555,523,072,421,324,321,181,
446,344,240,574,731,188,736,220,345,956,270,078,635,128,730,764,080,010,034,
488,477,863,016,872,235,531,631,318,252,288,717,385,056,162,792,148,513,828,
587,053,959,482,507,285,898,009,115,576,937,443,878,920,217,837,512,099,165,
226,419,100,815,284,415,767,920,643,087,241,341,998,355,767,487,782,252,826,
179,893,410,144,370,441,099,879,602,048,269,463,948,071,442,776,393,399,238,
353,313,562,385,598,147,199,264,428,314,496,622,765,092,801,428,185,035,622,
835,747,198,944,494,492,897,868,296,558,829,470,355,823,612,264,933,302,101,
245,555,362,582,201,546,095,586,975,687,546,434,550,874,702,193,109,433,431,
492,140,559,470,046,892,680,625,163,099,056,535,998,279,221,742,331,195,614,
822,822,553,117,893,689,985,405,105,130,719,985,772,257,290,873,430,670,078,
443,862,755,919,091,492,574,682,947,514,978,094,849,804,363,293,353,845,270,
006,908,571,977,160,239,449,751,673,328,139,726,686,266,870,064,543,287,829,
145,929,684,665,285,255,762,883,311,898,326,215,015,735,744,340,705,787,235,
571,609,635,266,627,623,195,818,841,132,173,559,725,233,785,562,398,116,399,
995,093,658,532,572,767,663,642,720,827,688,465,490,132,614,648,388,201,820,
699,823,072,005,129,050,533,523,714,293,389,647,998,590,087,844,568,780,093,
223,188,431,375,964,356,414,115,888,575,780,823,783,869,391,341,368,593,812,
963,978,890,402,665,151,973,894,859,281,707,076,627,339,712,976,157,817,104,
888,555,445,978,410,171,438,198,308,232,609,017,679,523,587,989,456,643,386,
150,339,715,934,564,269,665,233,054,830,172,265,555,590,613,535,336,943,798,
527,091,500,478,450,332,135,786,442,815,571,482,942,133,085,976,807,226,880,
571,860,588,510,448,260,874,672,638,884,153,767,956,809,193,359,593,325,892,
646,449,305,544,152,183,870,966,373,484,815,386,234,821,680,961,148,520,887,
235,250,180,607,372,765,336,744,338,856,087,573,567,157,189,820,129,707,146,
773,879,456,486,601,131,917,095,981,819,873,448,225,268,080,853,927,231,615,
583,123,652,026,925,333,705,079,235,964,180,204,504,867,731,839,147,007,229,
278,612,513,975,931,595,717,573,081,736,796,364,027,321,183,560,196,804,112,
625,546,367,464,940,669,177,192,857,380,260,686,921,960,676,690,239,953,231,
184,892,021,978,966,104,822,076,136,631,991,510,441,000,981,776,219,871,210,
462,313,191,287,885,632,312,367,439,759,608,150,958,477,376,986,383,138,595,
127,743,048,544,264,466,632,735,066,841,875,446,521,661,078,281,251,323,616,
746,214,048,227,687,574,394,879,424,890,118,109,501,645,514,497,249,811,392,
082,171,838,519,215,201,734,627,285,606,237,685,537,490,119,784,691,103,131,
709,339,528,467,987,445,921,018,408,087,285,123,839,173,478,742,433,135,291,
759,034,185,810,046,683,387,511,571,997,522,363,701,822,212,212,402,499,667,
259,945,864,992,893,792,048,725,179,070,685,027,482,705,244,095,662,563,393,
300,135,119,070,456,029,331,087,150,232,978,441,168,921,622,213,980,536,138,
670,187,964,784,610,832,173,866,887,864,197,379,775,001,694,747,125,129,944,
173,815,459,348,183,920,086,554,917,981,376,490,309,721,903,302,232,694,953,
845,845,181,173,271,702,560,361,305,966,754,480,563,579,186,584,058,178,294,
965,691,152,628,046,596,257,571,325,800,654,806,649,353,231,249,467,862,846,
478,893,858,459,871,114,794,457,627,095,506,324,689,386,104,658,365,104,544,
440,397,512,439,331,746,144,755,529,838,680,568,007,595,972,611,010,716,513,
474,575,271,804,441,311,712,516,646,550,331,999,642,156,292,367,718,825,569,
466,637,222,675,985,210,607,829,315,561,313,820,087,485,924,580,400,667,330,
755,481,639,581,670,395,413,668,083,908,839,606,213,284,518,166,227,705,645,
022,661,683,925,126,863,469,044,826,654,143,682,371,642,944,921,277,236,016,
926,644,855,271,455,016,395,845,361,851,211,340,789,660,467,311,355,347,431,
203,800,882,597,244,718,681,513,277,713,397,171,569,698,088,403,497,922,740,
499,961,799,073,912,243,454,657,171,578,266,297,447,093,382,446,155,536,765,
796,894,625,873,357,081,577,342,540,159,939,920,249,401,768,060,422,845,436,
354,296,623,180,572,001,847,210,276,587,101,354,177,137,497,881,400,890,723,
895,124,960,816,310,232,621,654,826,459,505,551,327,414,493,926,222,099,467,
146,482,170,493,636,017,467,198,545,114,458,276,050,891,165,990,058,185,611,
293,660,092,753,928,552,953,686,101,051,009,228,171,604,414,017,745,156,802,
421,071,622,662,198,991,507,598,385,477,652,423,898,512,815,230,491,964,504,
556,449,702,188,752,229,653,507,007,232,825,802,038,541,671,742,891,585,640,
867,347,027,498,058,046,019,535,486,927,579,351,101,609,423,690,051,078,061,
126,976,304,589,590,013,428,510,876,907,798,716,542,575,189,384,269,531,781,
750,550,246,377,866,750,982,181,165,560,415,050,157,050,564,890,488,605,069,
099,550,361,393,791,268,678,915,263,884,338,762,167,687,309,185,790,916,432,
247,166,388,788,942,742,923,794,971,976,222,547,211,014,732,488,325,724,643,
112,616,640,758,584,450,056,754,749,262,190,838,864,894,359,674,181,584,923,
192,504,891,970,855,620,798,855,148,799,544,646,569,423,973,883,283,614,602,
615,826,101,733,584,774,828,858,010,689,924,205,931,278,158,884,812,206,733,
189,491,470,223,560,980,900,288,780,684,591,097,478,982,855,588,564,758,893,
433,638,613,956,880,745,500,202,301,749,535,020,491,366,653,962,540,451,696,
632,920,489,650,141,306,398,241,103,260,913,928,334,595,010,834,811,835,486,
182,793,142,394,613,591,339,026,677,609,698,543,749,969,809,262,482,235,122,
059,652,878,240,799,293,849,934,959,047,593,621,475,348,821,652,738,721,725,
743,496,744,162,880,505,580,161,023,953,633,358,223,574,266,329,932,713,238,
966,333,820,212,075,510,207,236,506,873,556,651,575,102,661,444,806,082,478,
851,336,271,871,839,226,985,732,951,488,517,455,711,811,011,901,806,229,902,
259,436,687,588,994,277,958,661,247,061,717,854,150,217,710,718,909,284,019,
534,806,831,005,949,600,146,711,874,374,067,544,091,243,621,174,367,506,735,
591,699,183,303,333,361,570,768,170,909,437,473,295,707,949,428,039,159,988,
765,432,112,697,530,455,370,473,929,782,386,502,436,173,329,187,983,110,081,
833,154,994,608,559,420,807,434,927,391,665,927,242,016,657,271,275,313,647,
533,601,621,979,718,910,196,462,402,000,368,055,951,179,319,346,645,120,238,
670,707,432,204,361,568,860,298,333,045,051,086,719,450,503,248,483,368,127,
949,185,678,793,912,130,225,370,561,954,521,674,948,187,017,722,120,654,054,
784,906,145,348,546,660,222,904,801,717,080,634,223,263,605,821,902,423,397,
488,446,271,369,637,306,139,607,760,221,170,625,833,133,085,012,202,365,093,
024,832,014,160,770,873,401,771,092,609,011,270,387,397,507,345,433,798,415,
756,305,225,431,211,988,911,265,046,108,595,579,933,687,079,642,675,805,433,
048,906,120,991,474,999,075,201,321,840,795,460,439,329,977,255,816,141,482,
780,134,910,657,847,205,009,166,639,036,266,744,282,002,082,298,827,352,044,
200,140,517,936,565,635,288,211,167,686,037,417,548,642,391,608,503,798,791,
439,555,049,527,773,376,620,154,743,660,212,523,691,910,941,890,705,275,725,
070,435,027,544,409,438,488,078,000,130,650,771,336,170,066,608,841,607,343,
220,296,428,996,257,752,126,611,161,957,771,950,543,893,646,151,835,833,137,
814,021,721,709,418,908,355,630,168,678,340,713,827,076,320,552,749,609,748,
817,992,478,014,498,947,537,237,243,781,076,887,228,797,644,978,350,044,270,
952,906,192,106,127,095,737,839,919,122,190,582,916,241,446,005,152,419,978,
447,881,573,397,010,835,856,349,833,170,653,797,373,238,666,013,536,770,465,
963,378,087,408,688,723,475,931,650,628,529,194,234,582,419,224,230,107,967,
174,956,259,639,666,338,404,811,967,258,087,821,919,687,265,443,568,217,142,
587,588,010,669,287,961,261,904,181,833,152,718,010,364,869,140,454,732,074,
493,354,704,284,456,478,723,299,652,042,777,011,635,607,214,396,599,486,815,
846,994,563,014,922,672,580,634,108,012,209,506,859,407,134,116,264,045,271,
177,118,681,799,297,003,849,222,806,417,841,381,026,313,225,356,954,765,828,
945,265,083,795,168,213,551,668,754,070,393,427,769,924,708,090,159,296,370,
205,528,797,764,680,957,583,533,975,183,289,201,093,607,553,842,257,122,750,
546,666,141,192,818,061,771,634,557,967,852,525,069,061,625,850,856,554,579,
256,191,517,132,033,270,324,470,966,599,836,511,436,116,211,383,028,518,109,
073,101,703,812,380,782,104,208,066,748,985,791,411,761,672,431,319,658,052,
851,385,241,143,248,827,846,487,161,083,772,846,159,883,314,428,014,001,932,
781,676,293,815,027,786,165,615,268,772,478,051,351,967,689,226,180,861,947,
646,380,798,461,122,754,391,944,741,049,696,850,320,081,424,068,970,444,804,
340,896,637,432,040,352,438,477,099,202,082,594,220,702,647,396,272,822,201,
652,455,531,009,885,779,728,281,491,064,243,604,010,669,756,258,408,219,025,
506,194,226,194,682,342,900,917,046,686,995,182,624,653,812,714,880,757,788,
948,613,405,867,699,701,943,604,770,544,394,529,167,970,631,840,528,202,296,
291,944,405,575,899,633,911,306,634,167,882,507,774,985,646,041,907,581,636,
977,683,623,925,125,084,532,452,275,500,331,683,805,070,300,221,137,971,491,
152,123,585,819,528,539,985,818,377,706,964,187,716,368,100,893,033,369,367,
235,678,176,309,725,257,844,643,149,430,334,191,190,132,480,735,785,077,033,
451,429,143,201,654,655,169,238,750,294,124,555,872,530,098,109,744,178,474,
044,421,395,371,276,663,289,033,951,868,837,410,216,707,203,382,708,557,723,
673,852,628,174,062,959,245,955,696,486,996,535,470,943,018,465,563,611,124,
931,769,889,562,018,783,932,734,625,402,064,805,581,311,719,904,303,295,127,
854,120,931,245,955,039,827,995,479,809,037,126,198,608,904,781,965,460,973,
434,870,183,101,088,943,281,742,611,497,880,695,151,485,293,228,151,749,784,
740,502,775,779,716,518,459,892,187,374,900,236,107,887,259,639,079,356,608,
018,504,357,285,075,039,705,755,629,318,791,041,085,840,251,308,748,981,349,
043,453,935,304,079,767,431,684,134,203,007,849,539,776,491,891,211,865,445,
706,071,276,357,929,206,087,235,397,659,732,107,905,526,387,274,562,847,200,
864,268,574,847,642,323,196,111,190,907,950,281,538,560,222,412,763,144,338,
305,740,261,873,548,527,457,420,385,587,195,411,533,338,561,004,728,163,623,
859,365,807,343,999,194,410,979,437,016,294,463,064,961,607,753,780,304,049,
631,273,089,579,690,309,198,696,307,443,852,628,718,389,042,875,846,741,421,
274,441,239,391,278,409,413,853,916,811,356,362,782,559,248,504,473,017,712,
536,198,478,885,574,175,477,049,863,655,073,881,347,016,605,196,176,841,877,
925,199,369,801,618,274,004,501,338,067,069,001,680,821,611,681,586,277,348,
541,025,653,102,965,127,489,119,826,084,376,055,766,648,663,055,301,811,887,
996,008,708,709,574,037,351,670,421,089,782,373,713,538,366,903,502,013,452,
830,393,978,150,248,344,555,697,910,399,262,093,219,179,832,380,659,871,835,
092,502,123,065,326,925,297,118,437,065,725,980,549,278,596,462,786,296,597,
115,354,508,267,111,571,458,050,552,989,462,556,540,755,453,552,685,706,018,
204,713,597,806,804,176,176,452,819,959,753,599,227,214,197,190,121,696,319,
160,534,633,689,164,348,420,461,773,078,516,632,201,873,405,360,214,460,119,
719,005,188,451,385,253,671,950,995,440,706,249,659,298,226,074,517,326,703,
084,282,116,658,408,712,475,720,048,388,063,994,599,131,415,435,642,741,277,
017,198,477,357,315,103,104,374,309,550,749,734,576,190,347,837,094,405,721,
035,518,988,627,643,837,547,310,100,912,195,605,128,786,022,589,070,277,731,
716,817,330,459,569,978,558,315,861,936,744,694,911,462,825,855,199,419,181,
700,374,692,374,376,327,020,152,914,044,974,405,860,356,730,584,610,301,307,
495,621,206,616,230,237,022,818,851,708,164,918,994,475,768,076,133,771,982,
735,301,766,098,508,368,864,072,134,156,170,888,319,821,935,451,724,992,212,
778,276,131,794,392,622,393,070,444,548,341,546,391,333,244,907,932,370,733,
371,752,428,265,015,328,818,409,619,201,333,861,588,172,787,646,958,923,999,
360,665,484,544,426,250,633,410,381,661,425,239,670,882,398,986,074,839,050,
796,884,062,218,793,936,345,217,751,474,884,053,712,845,856,722,439,052,200,
318,431,387,099,140,372,021,299,973,044,813,487,328,713,200,171,908,820,635,
088,401,587,652,030,764,841,138,736,397,445,474,167,194,974,184,588,404,249,
762,036,450,130,413,490,316,990,880,360,047,718,098,740,426,064,144,188,580,
498,564,072,363,927,868,955,647,151,245,494,607,329,207,846,090,489,986,506,
958,269,604,080,171,719,365,716,783,123,330,835,777,221,747,968,562,327,504,
093,887,897,030,461,457,076,013,139,423,831,154,957,973,222,930,797,435,970,
291,542,770,246,689,328,872,903,215,117,527,896,064,371,841,238,466,688,499,
127,546,577,598,793,181,669,132,193,313,128,190,854,978,771,340,749,701,894,
779,405,477,958,502,507,102,013,883,016,416,935,522,094,185,583,390,050,549,
241,872,649,080,529,384,138,542,646,538,260,258,279,243,725,641,058,451,083,
753,371,830,581,683,732,528,605,675,043,150,865,437,909,297,169,908,703,342,
496,424,371,257,828,018,726,848,937,356,467,657,922,698,729,667,552,811,140,
769,059,278,163,391,158,070,261,275,999,362,324,759,584,569,620,316,217,557,
756,941,728,929,726,878,235,558,691,213,194,790,772,321,394,031,602,984,232,
275,445,798,154,263,767,984,120,996,230,539,289,096,123,868,864,540,802,310,
602,114,257,104,448,470,884,054,009,858,095,457,146,745,577,907,200,180,248,
376,954,432,791,272,504,062,166,487,720,522,973,264,664,373,885,068,522,794,
171,345,116,441,071,748,074,484,719,036,606,306,872,610,675,012,634,923,910,
136,644,531,368,143,340,999,897,270,515,753,631,468,044,551,591,354,275,886,
500,689,725,036,456,589,201,661,491,477,445,821,586,409,237,174,434,629,026,
955,530,492,112,414,889,534,136,346,928,575,992,947,615,994,334,865,966,334,
067,830,254,136,295,125,612,472,106,810,999,709,823,060,051,148,694,022,734,
043,945,977,634,595,666,184,939,564,707,374,187,908,513,376,217,157,196,602,
480,951,033,101,366,518,010,103,369,024,916,179,868,823,914,628,295,176,268,
670,729,649,484,076,040,181,367,808,216,444,597,981,381,636,874,889,601,813,
821,025,429,401,968,742,778,290,976,358,888,777,686,297,927,474,195,909,828,
448,074,318,452,582,810,790,530,915,680,998,369,587,660,820,436,880,742,497,
735,639,031,880,417,374,905,137,453,565,634,032,651,278,047,889,935,969,672,
987,751,289,016,199,362,609,550,615,530,705,923,250,753,378,994,425,465,655,
980,789,676,107,390,847,930,843,907,441,855,925,726,873,730,388,125,306,263,
589,818,658,557,906,523,686,926,064,371,241,967,121,859,997,609,365,875,150,
211,782,144,695,902,466,951,780,101,014,849,499,838,202,547,741,340,586,162,
685,742,649,831,226,318,720,618,642,466,371,677,211,717,809,770,730,748,421,
812,334,558,659,942,734,121,064,084,664,565,459,800,760,815,513,443,088,846,
241,492,624,436,038,831,662,592,921,950,596,743,578,850,021,098,239,094,355,
303,115,179,729,722,443,424,107,261,260,634,637,374,826,749,794,708,749,199,
678,419,297,851,279,740,014,292,144,327,521,106,970,622,534,033,012,494,686,
541,184,049,210,231,664,813,413,814,437,401,166,845,122,645,485,278,620,008,
245,512,312,521,606,131,608,301,563,137,842,056,881,477,920,158,224,351,562,
417,546,634,610,416,430,108,809,134,190,265,581,723,713,045,522,774,680,041,
160,519,963,705,077,174,597,959,295,295,658,290,301,861,313,811,831,586,366,
167,602,040,104,143,350,834,235,684,713,922,754,036,979,256,718,552,016,327,
726,903,037,527,885,287,382,481,624,073,691,072,229,242,736,328,997,441,381,
864,544,785,151,352,980,407,691,993,220,734,869,071,103,489,644,438,515,323,
001,186,263,749,955,750,113,569,773,917,817,616,222,506,946,452,579,492,894,
378,362,241,906,869,507,678,286,929,867,399,723,921,595,394,407,666,642,047,
378,827,715,381,560,476,673,191,978,345,706,448,527,414,249,831,123,477,555,
961,899,896,643,720,769,852,271,473,333,119,976,992,956,095,775,886,498,799,
784,798,382,694,806,290,211,148,429,105,279,358,716,155,497,381,692,359,949,
449,411,207,173,924,389,722,112,213,829,507,950,348,086,880,032,532,735,484,
470,735,144,794,122,933,124,718,018,503,235,164,003,215,383,423,224,843,232,
735,494,588,937,201,259,693,337,844,741,395,597,655,272,786,671,224,728,868,
572,266,576,945,804,563,268,973,821,550,717,722,648,695,907,346,052,140,757,
306,601,974,748,276,998,202,333,941,074,482,753,087,509,436,826,181,422,279,
230,707,762,620,059,652,673,396,022,911,931,608,866,560,127,584,451,409,812,
920,128,925,012,424,359,238,045,005,516,690,697,028,988,602,623,877,355,162,
354,727,068,034,093,666,451,671,738,355,619,624,013,154,656,687,918,967,456,
873,458,729,560,058,535,929,333,356,033,987,093,732,781,358,853,170,550,815,
848,191,704,947,198,779,530,076,833,000,176,990,448,012,004,945,511,986,261,
547,241,230,965,676,276,987,635,464,271,079,340,341,475,534,483,678,509,974,
423,972,498,410,503,357,075,159,171,333,011,259,591,280,226,604,210,385,108,
477,076,263,450,215,306,514,751,280,978,773,405,872,256,455,864,944,065,911,
862,656,417,309,779,927,805,405,157,591,557,914,372,879,830,489,545,931,379,
656,416,699,135,512,805,017,382,575,398,168,529,151,500,454,087,145,532,734,
856,052,222,919,047,824,061,670,425,192,131,169,673,528,281,739,287,704,263,
191,081,237,062,362,772,621,548,157,042,849,623,120,470,097,738,600,473,439,
153,994,573,913,002,386,497,678,176,303,487,797,049,490,468,682,749,804,726,
169,395,944,544,712,569,088,541,074,165,969,511,193,471,522,214,884,762,746,
101,774,694,189,856,542,475,463,987,159,103,150,072,157,505,406,706,145,961,
962,277,928,284,749,347,061,601,914,878,191,874,517,518,313,261,024,831,736,
331,934,481,387,682,566,365,742,116,398,372,445,634,252,722,046,490,122,175,
023,145,523,233,379,454,872,022,052,045,024,299,693,103,916,619,321,315,010,
440,989,228,961,098,873,158,044,740,916,860,720,306,702,792,380,681,734,292,
265,128,836,805,207,217,658,190,971,791,060,704,790,923,069,567,912,977,224,
291,137,914,165,756,954,352,953,010,096,990,828,758,969,659,035,297,655,435,
407,608,266,083,272,043,090,612,151,625,132,429,662,611,595,587,948,573,820,
370,553,583,128,906,732,479,854,987,158,152,970,484,061,253,410,325,677,020,
604,849,216,598,442,120,208,675,933,998,169,608,321,023,842,626,767,919,070,
887,557,377,629,319,836,113,874,597,082,793,250,442,135,904,178,666,378,245,
653,283,077,914,142,791,378,898,425,467,866,546,353,351,450,847,813,677,676,
048,529,651,975,401,810,066,029,417,069,597,063,166,670,836,870,590,807,936,
441,881,919,095,107,619,368,971,673,633,512,051,034,338,964,760,340,881,568,
346,185,525,921,668,011,927,063,249,007,254,322,966,704,915,751,320,639,119,
201,053,379,892,240,570,839,316,854,681,813,483,457,579,122,696,665,095,580,
949,899,209,332,152,346,113,706,267,851,684,982,407,574,082,282,472,748,004,
154,267,412,070,295,940,625,168,436,369,027,983,833,727,630,248,728,904,179,
318,692,753,468,284,210,979,876,462,695,523,472,691,219,120,402,041,327,445,
632,384,835,933,285,874,926,025,620,194,505,335,135,082,865,665,362,579,536,
684,295,213,146,462,458,620,088,775,281,924,775,025,710,896,725,061,979,759,
893,200,490,435,794,276,495,100,151,357,533,237,056,079,520,348,470,188,014,
357,839,980,528,976,847,598,437,273,077,199,902,445,672,127,431,149,684,137,
537,532,915,234,851,095,226,016,247,780,065,312,618,499,819,224,863,676,522,
586,743,197,298,925,177,038,215,565,580,319,326,906,250,589,597,889,603,115,
496,005,735,720,040,165,059,715,798,033,623,256,616,457,516,593,102,574,947,
732,647,975,394,099,897,628,208,586,477,627,118,486,055,225,664,680,063,356,
391,078,631,872,463,210,186,060,736,834,734,220,668,873,640,727,979,232,227,
034,534,898,658,132,334,785,777,894,092,372,961,113,020,102,995,801,279,933,
236,573,062,182,821,599,555,959,336,739,135,890,360,576,754,507,404,800,476,
381,524,532,964,769,333,107,778,232,757,528,789,449,113,270,087,733,825,125,
567,503,360,875,303,205,326,353,423,791,686,530,990,932,013,901,037,995,173,
996,844,495,954,500,307,946,487,809,900,589,653,760,431,200,331,679,391,845,
292,153,811,499,267,864,053,259,318,758,898,671,056,587,348,538,647,954,959,
373,669,616,440,862,188,664,732,332,170,759,327,238,716,006,409,659,934,713,
998,912,991,844,570,098,600,908,786,388,202,508,632,828,249,962,085,159,354,
467,258,323,871,627,349,938,333,726,273,628,982,649,994,430,004,811,008,029,
420,544,669,257,689,403,708,332,646,979,874,149,732,740,885,898,423,122,956,
538,049,584,054,303,493,363,478,885,734,280,608,321,658,870,354,706,170,155,
746,886,798,145,378,050,685,599,078,992,264,778,620,152,613,499,665,108,332,
556,528,280,969,367,045,956,272,878,151,383,073,983,563,111,178,949,674,239,
469,433,775,832,788,555,486,888,889,885,557,737,211,146,644,191,599,337,822,
698,394,153,795,571,957,146,464,123,672,823,000,775,990,448,026,007,437,397,
851,181,315,510,004,429,603,362,828,364,949,509,571,773,054,596,449,901,712,
026,817,212,298,373,922,061,869,264,805,817,467,043,645,888,420,411,569,048,
951,056,355,215,903,184,021,721,668,429,365,904,216,394,545,660,672,811,391,
833,761,072,122,973,172,154,916,682,188,783,304,911,135,476,877,396,649,478,
833,828,480,311,950,328,683,388,823,987,665,086,532,415,475,357,252,594,663,
142,604,089,042,719,148,214,049,596,231,828,204,911,616,799,677,851,772,930,
273,299,277,345,060,389,826,410,840,165,005,040,387,537,055,225,358,455,746,
076,857,735,748,315,984,034,502,966,378,064,502,795,859,356,830,660,269,044,
232,704,090,157,677,753,357,241,242,510,405,838,918,931,899,575,279,121,862,
387,596,779,826,271,855,906,874,694,103,541,570,247,862,027,008,210,428,652,
796,076,989,025,574,376,932,611,841,638,433,387,330,800,951,694,991,974,310,
981,861,128,933,284,031,132,433,486,681,761,576,497,825,059,687,495,538,362,
838,040,655,620,507,666,592,998,762,917,037,156,514,132,959,929,616,268,729,
679,198,066,533,915,274,722,848,995,363,600,433,549,033,975,944,644,324,182,
350,467,827,882,327,247,616,779,835,103,786,979,508,865,800,980,204,685,424,
129,045,495,151,882,092,377,124,662,699,041,616,634,468,643,003,056,808,247,
082,091,273,380,761,382,640,448,313,554,736,749,104,950,971,483,484,099,121,
949,786,386,130,752,498,011,323,912,275,306,731,862,667,876,486,308,228,379,
309,862,459,416,099,121,334,632,564,560,868,325,745,071,455,069,784,074,602,
151,323,517,356,415,698,651,174,081,662,125,666,294,970,171,630,611,756,929,
343,308,973,108,214,969,168,928,876,632,142,091,303,199,504,603,028,847,190,
964,064,868,417,106,352,202,319,817,781,248,305,943,583,515,684,459,646,249,
311,462,231,024,225,605,329,311,414,863,231,822,136,531,244,645,530,370,082,
917,701,703,708,736,735,751,602,256,855,373,630,084,655,553,636,794,995,742,
799,937,683,678,829,922,720,791,941,802,054,466,349,354,892,317,362,062,755,
295,328,246,518,078,635,513,926,805,162,927,179,419,157,637,727,955,017,821,
223,181,642,201,026,974,626,064,791,459,058,600,509,487,316,743,883,697,458,
096,742,854,887,374,428,224,321,914,843,632,681,580,590,251,305,910,184,353,
149,392,546,452,326,280,650,138,605,294,598,111,807,989,250,550,335,332,935,
893,108,444,658,487,416,255,245,300,721,303,136,459,447,184,230,108,657,416,
506,285,304,671,689,178,291,803,488,474,527,051,439,781,797,258,270,097,632,
874,408,734,616,689,568,409,969,418,135,861,186,029,655,228,056,487,222,737,
030,655,931,689,528,678,372,211,063,799,921,200,595,484,353,260,961,506,696,
153,012,065,578,089,922,575,142,805,551,154,480,590,280,744,245,160,488,875,
667,925,301,116,304,778,900,755,459,378,058,050,896,489,535,109,453,559,501,
727,130,424,312,027,716,938,832,451,048,703,607,882,912,442,121,739,560,133,
148,144,692,991,641,455,866,565,974,955,326,444,699,044,274,818,389,602,158,
818,095,948,113,260,990,360,573,804,493,115,470,585,083,648,370,278,674,525,
608,932,436,281,023,592,648,772,415,196,855,878,157,873,131,497,430,038,383,
809,771,669,378,765,041,894,554,088,894,685,621,580,145,918,694,567,361,321,
261,501,138,892,160,892,149,231,567,598,462,102,000,318,655,698,761,176,896,
770,020,649,014,397,997,142,128,266,600,162,635,448,894,048,078,561,985,035,
063,015,585,904,830,980,665,545,071,311,547,264,985,762,444,295,438,539,464,
260,887,575,563,051,190,292,587,501,660,704,040,091,434,420,750,606,277,973,
934,723,663,437,777,908,289,422,332,106,873,978,930,048,599,174,263,272,962,
324,419,225,741,785,729,169,637,803,822,703,108,411,782,803,812,757,318,840,
039,800,573,476,733,476,402,256,389,507,876,913,204,497,997,790,321,545,129,
789,718,606,848,106,267,547,740,218,959,005,439,600,737,659,552,043,823,360,
153,174,990,705,846,732,281,877,748,341,436,806,056,688,002,213,207,951,363,
232,789,126,115,385,154,048,803,871,568,182,839,318,215,574,992,530,215,594,
542,867,415,619,679,821,484,691,219,152,487,307,931,962,607,359,691,117,830,
515,639,489,097,105,235,214,314,470,925,125,654,852,901,713,569,055,523,458,
088,537,251,276,407,152,708,745,507,459,710,562,752,877,955,099,133,333,548,
598,579,769,131,947,915,552,432,691,422,441,382,926,590,638,958,858,080,238,
526,638,110,060,013,636,822,726,072,929,805,929,733,844,948,855,307,342,013,
454,686,377,337,593,523,076,772,442,251,806,480,864,960,917,415,184,038,241,
128,587,588,863,160,861,197,759,378,801,416,746,531,400,748,164,694,241,495,
471,508,783,389,811,987,286,860,346,460,192,512,705,456,391,495,066,786,699,
844,142,532,979,397,722,291,407,064,498,436,044,270,465,445,592,181,926,758,
048,516,321,698,356,021,077,124,015,360,218,731,284,189,379,628,910,947,795,
167,884,665,946,482,367,406,530,498,060,420,933,015,490,816,791,460,186,914,
896,983,408,320,079,399,252,162,714,148,569,533,402,765,135,497,927,387,026,
689,088,754,381,298,402,856,884,952,152,690,093,563,126,017,241,240,414,271,
574,396,413,588,494,390,266,323,057,807,790,361,742,365,225,919,567,300,603,
830,398,343,649,627,172,638,321,971,525,841,593,399,134,530,133,631,503,083,
287,260,714,929,310,010,759,597,588,024,001,172,482,763,549,931,893,166,178,
338,535,355,423,797,476,915,272,850,710,722,467,803,049,247,485,684,426,628,
702,598,046,795,634,758,363,849,822,388,945,275,436,186,676,981,624,606,609,
036,803,919,546,264,259,466,067,491,700,193,646,009,014,378,407,171,356,335,
780,705,219,111,689,461,206,980,404,259,370,211,617,754,928,682,960,641,238,
136,059,921,631,998,837,421,338,341,650,783,473,575,194,737,053,518,844,190,
520,338,348,157,013,489,964,610,417,478,085,704,384,319,776,740,674,021,670,
020,809,491,682,845,156,260,520,629,680,589,028,796,237,473,744,937,968,143,
394,571,689,878,035,587,478,939,974,404,601,955,317,755,194,110,267,645,519,
945,432,333,149,882,995,291,120,873,617,789,238,126,161,248,716,735,846,098,
505,911,261,181,610,102,278,565,900,809,457,662,478,007,211,509,549,117,499,
895,323,617,185,993,347,929,621,189,875,399,886,762,182,344,203,921,615,912,
246,802,043,492,654,730,950,262,908,145,981,621,482,953,573,484,087,062,813,
611,409,591,817,198,011,095,701,306,254,293,421,223,740,470,612,414,056,924,
758,160,824,202,977,212,430,372,099,004,769,694,805,722,615,613,267,894,781,
890,851,209,788,601,232,881,056,885,756,604,383,926,108,684,556,849,377,616,
742,863,052,309,122,900,997,402,569,551,434,121,384,209,307,116,072,005,152,
058,777,775,965,260,552,688,135,456,071,664,415,545,608,228,396,220,679,717,
596,059,293,399,791,172,920,457,615,287,014,354,900,062,125,795,059,170,415,
874,762,151,563,050,777,266,808,958,804,209,047,795,098,858,152,481,327,990,
076,021,112,291,521,069,158,262,461,790,660,258,845,041,911,895,653,431,280,
727,964,823,698,619,087,094,598,629,283,103,231,648,415,554,525,679,472,399,
067,913,055,095,513,572,909,504,753,046,604,871,245,628,323,380,993,831,733,
740,252,692,392,008,661,662,138,338,552,939,644,887,166,933,900,508,080,262,
652,164,156,915,697,905,889,788,460,053,047,250,070,260,067,093,577,843,854,
601,352,274,365,724,561,834,646,389,275,056,767,662,548,524,316,571,869,742,
563,068,069,810,299,192,235,897,574,018,772,102,192,236,086,700,485,632,371,
682,638,372,162,529,657,349,554,883,174,585,405,421,548,268,343,225,009,490,
489,388,546,315,879,448,770,884,590,788,530,781,165,719,738,674,098,370,759,
774,296,255,896,582,396,744,165,684,062,476,787,810,388,464,513,540,643,783,
866,687,986,448,793,735,911,498,594,974,382,578,975,284,117,479,558,357,792,
240,278,490,069,805,494,762,933,315,634,922,684,483,443,430,613,748,072,343,
891,541,481,931,246,278,612,680,538,225,282,628,874,849,068,361,392,234,177,
336,334,425,086,044,965,751,723,634,419,332,080,896,026,198,476,261,562,812,
620,095,853,893,905,365,375,369,935,651,068,807,207,936,121,520,121,608,909,
481,900,481,759,562,158,369,483,810,848,653,407,351,582,845,705,940,950,706,
743,671,048,739,487,941,256,465,118,701,618,042,677,915,289,613,778,449,545,
514,154,348,180,975,783,926,644,298,106,529,388,474,657,286,879,546,152,814,
225,596,774,951,498,279,295,727,427,552,735,280,544,868,609,158,286,385,425,
833,231,525,153,672,586,748,667,274,121,845,248,976,020,460,826,100,875,309,
299,831,328,555,485,054,768,228,935,064,355,965,438,248,761,832,001,790,016,
065,456,431,773,504,677,857,518,433,710,287,102,422,671,823,562,170,288,253,
629,636,657,025,421,650,021,293,740,675,180,056,900,725,570,785,204,248,946,
350,192,479,866,378,096,015,169,360,281,707,649,654,605,110,170,308,740,682,
956,424,244,449,925,372,263,404,657,694,687,582,216,397,633,778,332,937,676,
356,585,388,918,743,050,464,758,080,089,845,121,821,054,604,983,946,940,394,
821,673,860,665,023,444,430,734,874,033,066,525,626,001,809,566,744,787,240,
310,792,895,988,317,331,208,634,982,208,918,906,479,994,413,823,505,465,396,
068,955,377,096,701,301,501,154,867,682,733,051,152,654,446,095,162,960,768,
934,571,155,046,103,254,535,115,442,801,438,536,804,821,985,934,265,149,475,
190,302,473,215,244,852,052,861,577,623,708,104,255,216,747,995,848,999,078,
281,674,537,481,297,546,566,610,305,642,791,414,089,709,246,400,009,931,960,
637,514,337,153,279,790,445,593,747,445,504,253,906,960,705,740,487,804,528,
645,394,325,461,507,908,396,585,375,734,917,638,508,857,875,660,663,619,652,
819,471,279,217,465,079,481,333,040,761,042,328,900,166,749,092,314,044,426,
829,223,314,778,994,724,284,292,025,130,367,643,467,771,837,203,172,057,149,
188,867,514,983,707,171,678,497,765,957,256,671,420,544,570,132,757,377,199,
449,452,668,528,159,815,064,980,473,973,837,334,683,266,825,409,317,221,622,
289,956,537,092,426,309,385,513,591,367,473,965,852,556,754,527,537,296,644,
625,608,416,411,739,743,948,525,302,067,180,374,127,373,817,674,406,305,276,
136,938,022,810,350,694,706,341,018,992,715,507,286,228,896,498,373,162,908,
789,718,041,786,588,917,610,153,489,804,568,819,505,643,835,188,532,066,418,
573,760,960,440,360,587,013,732,494,246,917,537,981,536,805,226,173,407,448,
176,609,895,503,017,448,697,724,276,412,944,046,398,896,735,555,161,399,874,
906,016,004,691,561,115,981,264,996,622,654,155,728,618,597,693,284,911,518,
178,891,497,943,378,906,849,710,715,698,168,449,929,260,392,872,758,672,339,
699,268,256,006,053,555,542,270,436,973,588,901,621,218,693,251,479,289,336,
831,849,095,623,005,133,087,878,283,491,591,763,737,781,475,170,538,871,239,
596,798,147,632,418,707,178,545,193,517,620,481,424,135,603,943,467,436,170,
036,943,877,324,524,198,818,272,391,089,444,311,049,879,357,764,215,538,657,
796,674,855,921,027,793,714,504,140,477,362,906,922,052,631,412,961,727,573,
025,293,840,072,654,008,396,072,185,668,921,656,547,621,019,465,881,237,023,
568,075,604,018,756,711,909,477,491,977,213,825,148,851,959,219,710,194,360,
028,925,121,894,524,100,029,672,752,995,646,403,382,701,918,423,752,332,528,
450,331,336,559,580,968,722,458,244,129,528,906,576,386,245,661,928,750,867,
404,583,863,836,691,661,938,286,225,875,209,758,984,262,538,766,240,149,490,
665,679,183,018,857,887,696,441,826,606,237,499,672,499,315,054,308,783,115,
546,656,888,771,269,250,293,850,275,050,028,024,033,888,187,894,778,621,731,
922,495,257,804,507,810,295,794,969,282,144,864,450,375,081,234,182,322,559,
031,044,946,077,239,272,243,741,409,224,539,671,423,519,064,808,941,350,915,
324,181,023,549,181,184,908,111,272,498,457,282,651,089,151,544,752,187,119,
938,958,105,717,076,526,358,345,036,383,621,154,295,475,140,565,995,991,547,
817,223,713,321,610,631,374,518,644,035,133,048,029,129,216,140,767,168,123,
204,227,802,378,058,009,024,505,482,620,790,373,818,694,214,474,940,966,045,
421,044,967,534,249,979,212,585,562,971,103,371,171,126,086,424,726,661,658,
411,056,606,062,837,822,582,364,600,616,443,525,143,030,480,150,291,385,467,
441,738,932,443,785,483,680,811,640,762,542,189,481,332,214,873,366,989,929,
588,442,498,456,740,349,669,202,088,030,034,128,393,964,784,444,526,524,064,
405,651,728,082,302,454,251,741,801,143,066,789,708,844,103,448,443,350,154,
743,157,625,417,713,271,307,746,729,188,599,994,719,793,092,302,662,045,118,
651,523,814,154,492,868,338,727,978,626,136,070,226,999,197,890,935,776,949,
576,029,637,246,782,340,388,290,444,120,210,962,026,814,000,177,448,436,933,
517,883,168,600,590,856,119,951,627,037,305,324,434,013,065,565,681,971,159,
547,344,549,621,105,876,450,411,756,650,300,362,710,241,059,523,718,977,211,
434,068,649,409,125,543,364,862,494,165,570,557,070,608,393,442,253,178,676,
179,791,557,675,904,213,502,028,390,034,276,463,409,606,068,050,640,890,733,
431,653,200,978,019,964,490,696,431,608,557,058,006,319,770,979,488,997,908,
079,074,942,182,402,883,871,722,526,550,056,311,476,344,750,032,311,764,751,
222,371,414,518,587,229,295,548,645,907,163,395,048,742,128,047,493,874,452,
900,268,971,325,487,621,755,308,350,175,078,106,849,774,617,914,243,499,665,
902,245,916,711,292,023,255,060,455,573,823,540,674,838,219,185,435,096,106,
012,734,946,660,571,946,425,762,605,691,538,538,203,919,239,695,965,615,458,
740,601,552,490,468,659,446,494,113,646,849,597,801,153,184,161,803,921,156,
541,252,688,480,474,544,414,957,882,266,654,515,831,384,078,258,541,461,034,
742,244,727,734,274,345,764,531,431,376,773,436,181,264,078,515,209,064,047,
199,430,010,789,920,455,194,867,972,731,475,076,515,570,914,585,299,712,710,
242,335,930,089,219,797,700,600,675,827,227,149,903,042,661,615,119,575,010,
672,588,780,534,806,049,034,220,598,061,719,277,388,860,923,222,238,294,800,
839,017,029,072,216,103,859,468,671,206,671,807,292,096,564,200,739,047,238,
717,458,014,768,245,610,399,191,569,951,553,601,650,934,680,406,425,061,386,
223,294,154,815,991,061,603,490,951,775,734,258,434,661,470,700,854,846,692,
658,397,291,678,375,664,083,689,663,841,747,579,481,102,127,830,910,970,284,
126,102,215,538,404,207,204,240,365,072,998,075,622,219,662,776,489,668,286,
808,742,053,577,726,106,198,724,687,867,499,896,025,340,358,571,406,138,803,
624,549,820,373,494,453,014,400,806,469,405,468,151,572,106,556,031,025,205,
533,125,770,202,640,196,818,516,980,261,266,762,577,465,266,535,229,027,297,
594,829,365,785,047,341,057,201,587,697,042,880,790,884,694,247,978,442,851,
890,372,192,820,140,746,887,874,087,042,910,245,696,038,999,599,764,026,362,
918,894,398,537,940,132,220,103,644,304,020,044,504,313,417,370,434,578,366,
367,530,099,005,984,556,810,093,882,419,728,865,292,163,414,597,442,200,100,
298,727,773,997,226,290,891,154,148,259,410,487,560,189,437,835,410,623,644,
156,410,897,683,096,886,480,280,557,494,631,995,817,757,573,140,596,938,667,
993,136,721,422,780,407,594,169,800,900,050,376,977,591,739,029,286,366,386,
210,837,158,914,509,883,342,709,502,583,750,713,989,516,718,512,421,084,629,
702,338,288,483,792,514,173,937,804,456,625,664,122,643,208,989,739,775,593,
113,222,343,672,274,040,987,473,522,468,943,139,681,122,407,917,867,028,547,
927,535,231,000,279,767,648,643,410,490,356,517,869,658,517,857,823,321,001,
590,592,031,736,430,094,059,867,956,548,945,137,454,451,949,301,008,570,902,
031,024,826,899,138,853,845,707,149,220,888,509,173,576,146,767,403,163,029,
013,054,637,374,088,430,280,948,168,884,876,114,013,895,995,204,656,540,865,
603,696,438,622,177,284,089,184,697,507,223,818,523,850,789,266,840,420,823,
541,723,957,684,975,670,477,894,610,430,072,852,638,710,312,584,814,352,831,
983,030,048,447,262,162,230,270,282,001,069,765,478,297,289,119,412,745,186,
553,231,688,814,982,887,144,166,270,751,260,597,066,714,075,858,363,847,522,
197,745,823,804,377,132,088,935,323,710,347,635,184,276,830,905,751,043,211,
989,070,634,576,950,550,657,942,477,961,144,386,130,010,173,264,962,487,695,
870,964,404,798,914,949,141,390,468,890,530,877,334,359,523,926,683,449,477,
496,092,875,955,256,771,209,192,867,346,485,536,669,835,876,842,449,601,586,
822,716,968,599,401,281,561,307,860,279,228,753,746,131,980,827,596,457,474,
465,296,635,620,892,065,693,520,194,942,781,750,372,287,647,975,862,524,236,
826,414,597,526,883,926,846,771,914,465,193,561,836,104,202,149,178,153,284,
152,808,540,886,432,685,113,847,319,484,542,230,268,091,124,021,936,873,280,
018,924,988,214,411,075,687,629,605,531,379,004,491,841,602,083,547,315,460,
961,917,035,300,523,662,305,248,017,615,229,316,521,216,014,199,369,608,019,
195,175,342,097,912,826,139,776,530,627,821,910,972,891,006,732,789,887,559,
988,176,389,921,905,029,916,917,408,737,686,199,090,418,472,947,328,074,911,
213,819,277,177,377,875,541,133,612,466,311,848,217,215,452,796,261,447,956,
896,880,074,878,497,955,460,974,204,962,693,465,217,943,723,482,935,272,468,
189,423,439,662,096,450,495,155,518,529,160,200,527,535,153,214,097,571,570,
545,771,942,903,001,604,431,634,895,809,013,390,563,156,373,212,154,660,403,
505,020,520,702,592,836,495,794,933,866,476,121,643,273,116,416,581,749,585,
919,255,694,639,174,536,742,790,257,854,272,667,988,082,948,481,608,235,177,
638,730,655,385,257,877,539,384,438,077,141,692,910,448,252,044,820,518,729,
149,565,640,676,795,946,746,209,449,032,807,474,980,521,980,868,855,220,345,
983,027,843,916,006,049,186,083,771,949,071,365,754,530,351,535,962,902,197,
325,258,538,336,824,144,103,459,623,233,675,496,009,712,400,742,540,083,837,
562,133,095,360,225,619,773,919,596,009,663,862,746,810,091,398,970,863,053,
606,275,272,428,404,655,499,386,285,503,003,387,037,971,516,035,289,916,545,
807,253,005,670,039,693,613,306,034,319,691,441,990,053,180,761,484,105,793,
525,530,757,313,597,903,491,456,486,460,121,860,951,405,632,452,579,732,658,
868,912,608,854,559,874,376,006,722,656,589,098,584,090,021,762,532,546,644,
346,264,264,213,855,034,214,403,615,482,944,314,888,949,316,586,830,886,476,
734,445,256,844,247,198,159,462,430,158,253,389,424,635,577,910,392,906,075,
331,198,210,684,942,696,445,064,000,299,973,538,728,045,055,287,091,265,146,
479,722,858,015,238,225,711,464,124,320,406,371,107,336,598,360,280,486,506,
469,263,136,882,892,493,561,475,325,907,395,394,940,148,162,383,664,405,349,
568,729,504,556,130,904,781,141,093,076,343,105,955,501,910,506,236,563,827,
704,383,247,273,397,342,928,133,476,872,470,805,984,393,249,250,356,166,910,
769,488,951,643,441,110,570,305,671,285,981,334,054,152,622,920,889,641,261,
615,997,519,178,304,000,854,659,852,907,101,253,185,730,083,885,819,169,197,
413,824,185,600,874,662,000,613,092,200,314,478,720,150,401,602,726,356,972,
097,629,086,678,789,514,434,398,789,575,233,424,700,475,144,881,139,820,687,
189,008,942,010,816,560,159,923,031,165,804,640,031,770,491,547,389,130,812,
957,456,861,735,516,903,547,393,060,918,064,253,166,777,707,939,310,761,152,
398,252,332,299,501,448,776,217,994,042,943,751,793,250,337,010,851,148,563,
760,154,848,356,188,488,596,069,660,203,491,040,811,456,129,083,648,456,306,
118,984,373,373,133,411,641,070,590,872,084,737,781,116,198,205,444,939,252,
677,930,563,355,978,026,003,919,304,046,312,684,748,085,553,778,614,552,748,
279,608,163,483,373,010,370,510,247,636,002,044,525,319,288,265,170,468,952,
311,454,721,450,816,768,552,421,082,546,417,139,254,248,593,985,402,415,141,
901,758,767,973,687,150,369,292,146,228,291,214,340,507,813,064,824,546,876,
563,572,446,950,406,773,564,501,374,689,735,239,205,194,112,197,630,701,550,
008,169,256,365,695,927,095,960,258,619,551,379,248,751,993,290,934,351,620,
494,156,645,029,091,777,468,024,963,014,662,557,427,065,035,456,689,379,768,
808,621,507,753,094,819,928,278,898,753,411,394,037,271,169,811,106,223,173,
958,537,290,730,819,944,105,623,020,129,277,006,054,933,478,476,232,170,647,
530,595,140,531,762,290,255,876,681,497,479,370,217,387,223,243,529,957,252,
957,365,867,875,915,255,517,024,469,304,679,172,142,035,348,416,056,046,645,
705,987,775,407,620,633,537,359,192,650,232,303,744,290,615,644,171,474,799,
639,884,303,508,180,787,654,215,260,131,930,757,517,430,030,126,558,703,563,
948,902,774,823,578,451,277,562,896,440,376,056,671,334,187,076,969,871,540,
418,792,935,324,023,133,950,766,193,779,908,931,886,579,358,159,250,277,290,
348,975,526,333,404,215,780,604,850,754,046,466,225,988,392,302,022,267,957,
672,046,878,225,884,523,295,454,156,648,775,296,591,567,188,308,331,223,603,
214,587,570,702,703,116,955,819,672,300,889,151,335,193,121,260,786,504,562,
352,695,092,848,766,441,638,325,699,515,904,867,634,268,556,842,759,299,719,
848,762,689,126,196,651,339,681,144,263,519,123,267,276,156,495,092,213,993,
293,347,586,403,418,855,778,429,739,008,839,089,461,672,421,103,869,564,400,
132,831,925,837,483,970,786,573,142,778,330,653,538,708,030,056,400,123,039,
898,202,554,989,725,733,947,077,420,746,626,173,641,623,218,230,612,884,382,
500,753,497,677,503,225,646,460,579,779,154,943,111,967,561,948,589,479,597,
102,756,411,527,563,908,325,811,519,067,079,715,907,344,790,762,480,123,418,
792,516,051,544,194,941,533,874,932,042,049,248,350,881,552,481,719,834,522,
037,709,376,510,385,090,483,149,632,014,522,568,809,819,085,485,205,592,314,
603,495,930,401,971,861,072,650,172,214,483,404,908,272,135,355,574,007,018,
345,837,881,583,637,772,928,528,211,400,028,305,739,254,562,004,161,444,403,
447,656,554,078,792,599,221,117,855,444,862,397,193,350,517,799,403,818,865,
533,847,285,657,386,089,360,862,658,154,571,925,848,416,703,276,286,006,898,
602,573,256,984,117,733,393,357,416,967,397,147,186,932,502,794,327,280,858,
392,570,705,920,836,605,452,575,270,623,436,662,421,737,553,126,444,318,797,
599,556,273,651,480,606,448,613,162,297,849,035,895,223,331,622,218,968,222,
103,346,775,480,578,176,729,744,466,566,402,466,124,709,734,995,128,575,234,
618,896,350,712,064,495,115,554,013,213,230,699,730,230,459,397,460,524,321,
419,023,324,107,753,442,261,774,758,087,428,393,827,807,299,773,046,520,698,
634,638,489,274,752,264,931,962,916,356,202,696,549,188,783,648,799,836,000,
523,959,412,038,197,248,169,630,915,422,398,632,110,206,464,380,083,901,489,
169,345,935,659,968,575,174,740,306,615,006,820,379,734,340,318,498,581,288,
158,976,854,390,652,471,151,423,023,686,765,947,603,722,788,785,552,701,716,
438,895,397,159,428,490,772,411,882,316,670,337,993,304,833,734,674,806,005,
004,317,349,245,820,623,885,618,743,731,632,885,000,877,151,416,588,237,771,
134,948,996,603,043,028,703,025,141,705,360,620,240,359,544,704,600,001,210,
862,182,218,392,085,291,151,784,304,043,790,153,385,242,979,897,682,466,278,
279,898,544,822,314,644,222,392,592,616,503,432,905,444,305,559,970,466,340,
131,203,264,769,736,955,127,102,550,852,618,870,762,806,379,560,748,516,070,
335,829,741,707,548,243,000,285,729,019,460,126,882,497,691,539,672,931,633,
878,810,485,116,694,472,099,437,142,239,747,602,133,827,121,266,218,203,991,
550,830,019,008,687,391,505,343,422,605,794,894,937,268,762,275,650,312,425,
557,038,675,820,074,567,793,802,554,684,521,080,985,353,112,543,466,546,957,
160,173,465,841,388,216,154,127,963,962,046,500,998,480,092,896,362,578,882,
408,453,140,478,823,351,266,823,227,281,477,353,835,570,475,867,216,293,862,
948,934,410,567,659,331,762,757,895,572,607,375,569,390,569,805,537,311,215,
563,613,659,091,402,745,540,331,609,063,639,213,821,036,971,093,364,929,704,
956,463,512,612,561,815,188,561,920,055,398,037,374,478,960,476,404,215,486,
164,546,223,200,719,310,554,367,676,905,685,378,752,154,208,083,797,003,835,
759,324,724,952,176,026,042,685,005,454,164,174,668,787,436,825,902,406,397,
714,341,313,821,482,737,578,897,432,938,389,799,978,325,299,562,155,289,513,
951,988,578,952,553,001,630,093,356,772,150,290,382,070,804,929,146,965,672,
127,958,445,547,223,116,951,649,320,580,345,468,630,848,405,403,141,854,313,
537,885,126,202,577,310,191,179,191,354,003,318,311,111,888,835,493,296,183,
083,521,383,845,701,746,282,605,289,454,878,260,588,860,383,718,574,857,060,
502,134,969,614,421,917,716,904,710,786,530,685,644,330,444,444,951,249,021,
621,643,757,285,320,991,693,350,191,080,556,647,680,102,218,376,610,248,675,
922,705,337,108,509,894,017,731,402,281,892,416,246,173,556,145,431,006,697,
993,182,510,686,963,255,163,822,671,112,241,978,021,840,054,238,906,554,199,
170,924,257,225,122,707,826,621,935,350,385,566,032,860,288,932,369,795,402,
108,973,374,395,350,554,846,787,175,123,331,378,220,891,377,491,890,702,083,
900,330,825,340,028,335,797,022,621,471,580,541,190,933,781,383,888,416,929,
458,453,736,257,956,327,599,883,305,521,272,755,233,683,309,141,767,261,974,
552,607,142,406,202,897,513,547,094,951,371,339,427,523,646,094,838,251,740,
505,957,286,350,507,708,662,726,189,176,794,144,854,178,991,577,177,315,937,
968,524,373,213,024,035,808,867,874,492,982,849,422,490,388,447,104,264,922,
902,833,279,258,281,701,203,144,081,795,112,938,424,338,599,525,090,888,489,
574,744,316,088,327,167,555,415,868,730,654,803,204,314,106,762,757,925,637,
177,552,760,725,736,502,897,143,141,719,349,621,687,575,018,940,188,459,698,
299,509,370,169,492,746,125,230,413,383,298,237,475,521,956,745,963,790,375,
751,688,738,063,207,150,737,135,139,851,367,080,474,640,741,013,684,865,278,
603,650,346,422,869,725,167,816,190,880,030,585,082,434,099,156,636,390,822,
285,499,071,016,257,689,703,525,530,149,812,180,186,026,474,735,069,740,644,
646,797,293,643,039,536,414,033,770,043,143,609,888,840,081,843,714,852,362,
097,204,875,424,009,889,781,654,653,638,661,771,853,418,267,228,684,568,588,
374,637,869,199,490,917,996,202,051,150,845,487,311,476,687,170,143,608,046,
642,877,838,542,815,497,969,646,813,499,990,239,689,770,070,789,393,649,117,
218,090,254,008,257,334,311,643,624,890,620,013,548,525,645,885,360,657,474,
964,932,946,148,626,887,825,258,231,745,914,674,540,463,678,858,954,768,879,
223,010,358,056,708,035,410,229,823,079,516,022,943,710,891,431,908,220,973,
330,376,002,866,245,670,233,323,788,885,286,362,289,761,055,398,218,259,519,
797,782,810,357,413,849,538,134,265,771,089,973,584,882,446,923,105,109,760,
909,158,936,620,447,876,376,200,707,846,198,184,461,745,705,300,512,544,444,
412,081,241,046,453,570,246,970,359,352,629,476,449,324,681,365,443,169,797,
358,054,282,697,832,643,729,052,440,670,189,723,690,963,346,636,144,401,557,
057,431,937,202,887,036,150,012,364,207,033,985,588,208,508,157,552,066,402,
810,600,481,554,761,497,192,862,675,815,397,795,655,330,725,683,301,531,677,
626,108,190,376,539,582,236,999,927,728,656,471,050,353,648,297,734,690,108,
245,547,174,948,692,650,225,676,825,304,024,355,145,576,381,787,120,777,712,
589,128,626,645,869,904,013,358,788,852,240,307,937,078,940,329,592,003,512,
196,561,584,176,076,875,139,418,236,495,175,891,378,396,359,719,100,154,827,
793,443,682,791,772,079,919,407,659,882,662,778,691,695,838,284,870,072,201,
784,102,730,220,364,910,755,416,653,207,053,485,693,526,798,457,961,718,417,
811,884,949,076,741,730,174,759,799,093,530,467,911,278,585,444,753,403,502,
258,515,514,756,621,058,683,591,133,793,420,243,637,410,484,723,801,553,750,
533,603,886,984,606,201,921,697,972,144,884,544,531,746,973,734,387,360,760,
696,303,511,277,718,271,179,096,125,614,479,438,401,903,372,994,928,233,319,
125,408,346,060,786,221,747,788,662,267,049,824,868,953,896,174,276,766,840,
050,797,730,032,908,350,192,228,742,743,541,245,251,638,264,916,811,705,385,
255,222,489,029,072,692,564,188,993,569,865,030,006,604,422,650,230,328,437,
528,999,718,204,289,901,821,287,126,748,552,467,915,682,540,349,123,087,447,
850,625,974,604,712,004,068,970,412,377,162,510,812,822,760,720,212,754,739,
351,020,494,426,220,555,867,793,328,455,766,831,997,234,228,568,252,817,723,
933,068,532,104,348,965,559,836,316,759,982,325,580,332,423,627,128,110,498,
814,484,630,869,127,293,578,295,202,264,589,380,778,662,406,378,318,406,108,
262,903,820,725,773,558,108,099,787,948,930,488,000,058,667,272,888,607,181,
179,652,607,932,070,260,943,446,496,249,483,546,939,272,052,146,147,937,494,
099,517,856,929,136,037,207,376,360,716,302,363,434,529,854,207,869,595,696,
957,518,265,015,002,512,307,365,260,690,887,051,756,180,852,185,988,339,525,
884,579,536,088,960,915,799,069,417,243,184,510,727,955,688,507,884,961,270,
148,215,849,874,024,142,154,801,204,945,537,649,679,161,086,447,671,769,321,
458,051,716,810,288,762,592,089,864,212,505,844,471,554,749,787,449,281,907,
618,967,951,294,438,576,888,146,178,174,990,940,797,428,340,605,498,655,126,
032,480,382,262,843,621,343,721,258,440,285,856,684,363,830,255,307,000,531,
626,525,480,932,017,319,799,552,483,448,288,353,283,468,166,898,788,433,849,
649,557,552,218,747,429,991,568,886,389,685,753,958,686,757,986,351,710,021,
492,120,007,438,754,036,445,764,212,511,052,568,116,105,897,906,326,616,817,
655,944,731,518,255,278,817,311,222,774,499,784,189,287,429,328,233,068,640,
681,745,145,515,417,024,334,615,378,588,868,827,446,103,533,690,657,443,587,
686,807,090,103,104,720,211,663,953,894,660,275,083,875,816,739,791,777,338,
399,813,784,665,010,283,305,048,540,362,696,095,455,104,053,669,576,885,016,
892,318,890,089,806,751,382,440,539,085,699,950,339,537,485,860,574,309,844,
301,562,445,874,322,402,716,667,429,243,476,091,717,785,011,474,703,488,464,
582,387,423,716,192,972,007,830,720,587,077,444,109,053,331,483,861,596,968,
756,084,591,084,500,325,140,708,852,824,978,748,545,591,802,140,040,743,609,
199,358,559,432,462,734,236,980,091,067,850,884,510,867,645,265,726,726,878,
295,062,559,845,104,965,364,227,349,702,941,495,277,399,543,375,725,793,805,
527,036,920,387,289,808,699,298,170,750,468,848,651,022,715,702,398,711,345,
401,917,727,506,421,907,117,014,656,956,469,198,736,315,064,234,937,403,065,
640,549,070,227,100,507,613,043,619,328,669,051,933,888,051,951,783,745,413,
646,701,757,937,671,785,371,563,494,434,154,530,643,940,223,507,194,671,550,
957,976,457,978,702,978,644,406,206,112,508,810,701,885,909,200,423,445,448,
163,169,838,960,211,264,563,113,016,269,433,787,206,768,938,279,250,349,796,
605,531,381,562,389,765,396,122,824,796,783,501,808,897,372,863,788,048,078,
439,055,775,645,473,020,825,758,049,390,779,011,270,480,432,930,794,394,203,
776,572,450,289,546,372,945,241,284,994,120,960,699,885,956,294,393,323,958,
745,736,035,538,755,712,570,970,727,729,633,886,131,667,347,672,349,373,108,
007,922,908,366,181,719,056,579,350,752,090,294,008,251,393,061,948,822,830,
823,675,626,255,845,486,994,308,782,749,312,463,145,992,995,430,358,413,135,
962,403,943,799,996,781,739,805,551,917,150,740,331,087,276,348,320,400,920,
129,987,513,269,259,177,431,404,357,573,217,708,254,937,871,792,510,922,016,
497,856,003,777,860,938,979,086,608,269,256,201,883,464,235,168,199,383,917,
465,236,898,847,194,467,480,849,748,206,295,002,452,642,355,337,426,074,888,
318,614,047,842,911,174,028,639,716,734,813,417,895,495,046,804,422,254,316,
586,156,173,997,985,785,831,661,693,194,278,443,049,078,336,345,377,631,710,
683,095,057,477,817,662,120,760,730,733,323,205,931,110,031,402,935,910,625,
098,119,682,022,782,730,305,371,619,360,256,260,965,694,799,471,038,770,576,
165,571,290,250,440,752,733,214,380,349,859,241,569,651,449,696,885,558,376,
893,504,004,460,862,481,684,009,841,144,091,429,769,966,337,697,167,049,720,
294,926,729,850,919,536,107,509,110,063,042,610,021,216,678,130,662,470,390,
393,982,302,934,072,350,649,773,378,702,246,082,667,576,060,854,033,103,575,
289,792,812,304,160,051,298,305,369,261,179,350,634,270,851,840,712,258,605,
445,545,475,908,866,229,707,365,626,479,538,328,725,761,639,089,145,201,742,
938,147,055,047,107,782,737,035,073,826,544,600,687,389,076,151,776,893,960,
509,071,853,536,439,246,846,127,805,699,565,208,278,894,942,961,383,575,986,
893,638,285,381,949,742,688,421,378,254,723,156,324,732,286,955,349,350,607,
564,522,913,617,915,228,744,065,767,106,598,711,326,298,271,020,259,342,708,
705,519,205,049,477,607,768,891,737,826,318,610,798,553,904,782,990,685,558,
524,693,990,346,877,304,972,486,803,603,828,048,429,338,464,320,585,188,384,
590,581,089,603,338,920,884,344,875,716,633,528,047,336,483,662,794,144,278,
213,610,925,443,480,773,134,773,804,707,105,116,216,923,493,831,510,513,888,
481,147,327,534,142,642,597,774,960,058,821,609,813,571,875,990,695,571,322,
188,073,408,093,421,006,095,203,778,946,620,791,519,003,568,461,116,618,621,
491,980,296,828,649,171,297,766,935,285,352,239,936,826,921,539,511,220,952,
099,895,619,653,933,021,138,191,317,583,802,606,621,696,553,045,267,644,266,
327,352,746,712,776,352,026,010,840,438,914,310,199,608,329,362,865,718,712,
469,432,802,941,009,626,342,737,643,311,600,505,576,779,486,897,743,441,805,
810,112,587,377,056,950,831,529,964,655,550,538,262,378,340,281,921,890,118,
362,014,375,498,439,623,573,561,312,107,196,877,378,057,760,323,510,482,214,
872,188,803,363,170,194,688,743,809,091,876,571,579,738,747,204,311,210,258,
531,687,354,127,197,687,486,849,236,900,589,337,356,322,072,501,373,051,571,
553,277,952,196,620,971,377,779,815,573,752,374,607,443,035,667,160,460,989,
466,936,593,686,891,765,306,681,443,453,505,628,969,271,005,372,326,847,267,
488,211,441,441,094,132,440,304,121,352,160,213,656,351,465,944,644,980,148,
100,838,512,527,620,774,157,741,085,285,354,708,573,936,479,082,708,347,024,
840,812,519,738,810,315,445,236,764,366,522,473,202,344,073,168,905,877,207,
119,302,277,050,377,822,357,797,794,754,801,502,276,635,865,023,771,385,952,
444,270,270,541,657,479,371,532,736,778,792,858,311,624,982,696,790,502,028,
487,092,804,305,188,986,560,851,390,606,747,571,872,006,115,651,541,273,076,
388,607,980,477,862,756,461,297,928,498,992,115,801,854,203,432,228,308,836,
412,049,883,710,671,539,073,282,667,808,396,937,045,228,553,916,004,966,845,
969,052,242,579,374,993,302,274,854,873,296,947,091,155,714,679,857,680,944,
167,809,582,015,887,308,851,502,554,820,663,840,776,433,262,761,759,192,754,
523,414,098,743,836,589,149,950,202,787,095,177,461,076,663,321,513,478,524,
930,025,842,528,099,859,476,872,265,377,274,447,461,746,558,345,929,354,996,
743,251,225,743,497,508,040,577,243,505,068,058,569,167,759,212,148,139,063,
740,931,763,088,022,474,170,195,130,436,297,674,729,245,702,829,762,946,345,
220,764,052,228,354,408,656,043,380,938,270,850,191,068,230,387,432,220,626,
835,135,555,593,236,846,823,603,078,329,940,991,624,910,800,801,808,552,451,
958,618,367,051,070,299,225,282,422,804,658,682,094,696,257,752,306,134,866,
664,687,125,512,877,500,827,451,038,062,269,004,423,206,001,203,815,808,859,
792,162,659,261,510,344,120,148,816,134,068,344,222,073,450,527,671,104,506,
647,407,696,606,218,202,337,557,988,948,059,640,693,518,598,164,804,671,943,
096,883,129,115,034,470,946,856,507,648,609,304,105,158,712,987,783,819,762,
443,385,105,473,657,111,255,795,130,317,541,151,048,165,773,221,727,505,343,
353,561,597,316,381,546,960,278,607,484,285,665,451,108,328,276,961,885,291,
950,117,133,183,302,101,919,257,348,290,961,696,224,461,393,093,684,805,908,
403,257,654,655,208,844,100,647,446,718,027,173,883,024,549,485,375,851,895,
671,051,406,913,995,607,267,009,909,736,282,952,302,064,423,850,159,399,399,
295,722,255,232,552,486,557,979,202,014,516,174,134,343,727,627,662,935,893,
446,521,755,893,119,489,330,997,241,211,447,031,621,351,636,672,746,435,700,
847,646,117,791,928,779,063,435,216,923,625,075,796,863,702,457,632,649,051,
818,771,577,865,953,679,490,856,536,481,867,443,136,455,585,131,794,176,815,
672,475,014,332,396,037,846,283,003,895,254,827,421,909,827,580,989,637,974,
312,282,341,456,167,913,460,502,074,328,439,225,075,676,403,063,676,239,971,
902,071,884,396,160,342,403,034,668,612,460,524,876,742,752,275,714,468,261,
461,253,019,791,419,115,788,575,522,472,061,046,500,316,291,546,840,666,504,
548,802,955,622,043,763,601,896,955,903,080,835,170,343,147,998,339,267,266,
762,864,170,625,595,225,859,603,909,976,139,614,568,238,757,457,807,403,679,
064,379,989,337,262,937,257,661,978,380,096,808,292,848,273,192,344,152,982,
983,424,319,643,875,862,576,976,537,045,510,193,705,245,706,917,129,625,767,
311,667,121,083,869,890,868,393,420,199,709,338,920,765,527,896,541,184,857,
844,947,265,674,026,239,793,712,263,142,013,190,410,030,534,861,364,637,340,
516,152,047,036,025,904,585,038,389,591,281,132,657,592,109,996,942,578,142,
646,962,187,255,009,511,975,642,734,227,065,135,015,204,471,518,606,226,549,
525,727,982,101,486,752,321,723,262,861,939,247,051,285,779,265,115,238,014,
296,464,321,006,225,064,226,469,484,958,760,036,934,656,437,499,405,064,947,
810,052,170,000,577,752,662,719,397,281,569,434,952,982,134,860,025,066,539,
657,898,410,724,477,314,563,556,309,326,196,953,632,110,929,728,463,359,057,
328,207,384,578,906,625,432,717,973,224,822,920,483,427,663,907,488,294,773,
665,983,362,438,841,226,837,556,420,928,680,623,361,252,411,520,597,677,141,
591,787,137,128,528,393,800,173,998,056,125,825,835,827,078,700,571,550,287,
552,462,175,252,094,259,478,492,384,084,259,389,695,883,751,741,055,547,562,
342,700,196,884,206,766,349,290,723,796,154,238,194,050,464,565,391,436,143,
380,441,132,061,646,323,193,298,784,933,243,854,406,204,453,543,607,154,443,
433,654,740,236,972,810,005,606,408,979,481,307,547,802,865,840,362,418,909,
192,331,250,689,695,626,530,220,773,498,035,584,007,543,388,421,050,030,553,
132,343,411,691,791,945,315,543,934,245,110,175,513,346,691,239,040,263,918,
120,811,946,040,284,510,369,633,685,352,595,264,541,616,127,390,153,401,477,
136,310,539,367,386,986,431,522,722,522,303,433,210,873,805,192,387,862,422,
188,761,993,786,333,911,559,986,697,878,826,081,677,193,667,031,791,860,017,
609,673,080,049,220,816,380,699,437,707,897,470,122,345,325,557,577,103,411,
931,668,960,099,439,998,284,191,522,463,287,425,909,651,042,113,526,606,804,
913,301,522,891,346,964,440,456,804,293,268,368,529,128,158,226,245,029,939,
924,921,989,608,221,680,648,798,959,282,131,586,579,949,409,247,115,035,167,
920,839,395,669,265,911,488,060,999,029,482,786,895,394,331,148,808,802,354,
448,622,820,621,032,743,692,288,567,623,941,399,940,610,506,124,292,952,741,
524,625,832,847,412,050,025,297,656,529,878,746,713,764,753,066,135,655,566,
993,062,819,971,370,410,900,904,679,693,249,621,750,909,339,696,263,557,874,
601,193,032,978,408,013,925,407,523,803,036,049,573,477,438,333,635,340,001,
389,696,816,304,540,880,856,320,809,076,770,600,202,940,265,581,834,629,888,
195,029,918,857,451,786,404,407,473,977,707,771,037,076,386,592,463,638,766,
865,627,545,473,748,833,077,879,897,749,552,127,334,991,537,134,800,294,371,
520,710,317,719,473,828,573,761,093,646,806,296,712,230,321,567,023,154,311,
829,285,619,737,249,911,043,531,207,562,285,127,099,461,116,179,396,992,292,
204,777,092,830,498,353,735,131,270,949,931,896,843,551,272,927,371,772,056,
779,627,369,133,747,364,252,575,076,806,258,929,561,236,427,876,237,488,333,
759,864,094,351,428,151,001,907,755,873,192,081,288,184,330,447,507,667,488,
490,162,193,342,478,365,949,602,518,318,900,776,665,889,388,162,886,718,830,
174,684,945,969,773,582,037,954,701,218,962,927,421,499,762,768,499,132,058,
836,231,626,212,107,077,301,718,603,979,122,789,866,679,808,995,387,857,096,
970,918,212,779,509,385,833,227,996,297,113,548,799,501,434,010,728,370,517,
278,567,886,217,698,380,540,415,078,924,267,978,891,255,092,968,958,602,537,
999,033,025,593,951,553,917,515,925,591,924,218,010,009,899,475,149,076,025,
159,555,109,136,086,362,778,215,487,530,063,132,335,598,782,048,342,365,225,
028,344,672,904,363,110,930,522,959,663,704,479,201,916,857,555,940,356,755,
121,510,037,453,733,885,894,827,021,636,773,614,850,112,362,960,353,016,006,
390,780,629,973,391,081,215,554,529,847,877,284,051,805,763,303,797,274,500,
949,608,402,324,889,356,841,103,806,734,992,609,114,378,279,564,663,396,268,
710,346,550,613,219,792,315,031,280,757,164,184,312,408,189,735,962,588,455,
748,338,543,738,935,194,987,408,061,708,492,736,413,355,869,831,749,835,273,
326,081,952,827,674,536,486,706,565,024,507,334,575,913,602,173,730,798,781,
986,376,748,777,423,793,490,269,217,782,157,320,604,438,011,615,800,708,736,
392,541,198,042,275,902,572,265,263,359,472,817,636,998,390,077,985,806,270,
815,140,393,337,886,324,460,029,955,772,065,059,945,584,671,166,669,032,019,
438,967,718,149,322,719,383,296,010,910,940,419,253,427,370,176,380,475,698,
293,291,315,294,373,600,490,543,041,271,973,101,620,673,917,586,423,832,038,
592,953,730,732,699,073,570,876,636,937,854,562,306,063,851,142,955,016,115,
437,099,115,681,029,447,666,712,467,227,355,817,803,697,937,407,621,527,319,
362,456,774,131,511,034,995,295,411,897,697,705,105,507,295,841,570,023,424,
668,450,463,115,831,101,013,430,987,521,292,782,956,553,119,701,655,478,294,
527,053,634,092,859,466,520,537,372,336,796,330,127,511,207,140,658,971,604,
326,259,910,155,411,666,163,402,756,603,670,258,210,288,509,977,452,513,016,
565,112,873,843,172,438,280,666,552,905,267,872,298,859,128,222,209,131,237,
931,750,227,626,361,175,963,695,207,952,056,367,734,625,036,829,250,291,196,
740,808,522,032,933,227,280,400,583,597,226,432,052,638,424,531,925,417,377,
474,369,473,110,981,657,225,091,023,737,757,883,545,646,191,538,367,698,136,
124,814,961,690,294,469,750,966,231,569,311,404,625,475,380,550,849,313,609,
248,101,786,469,983,602,022,212,085,648,247,089,696,068,904,085,345,934,835,
272,463,483,572,518,008,988,360,643,781,871,467,715,823,508,711,116,650,537,
066,207,233,265,513,821,720,031,000,081,231,666,476,728,530,000,940,029,359,
040,198,322,980,614,880,644,670,053,019,163,509,960,157,081,311,307,565,296,
319,553,278,350,195,687,825,721,389,945,696,251,551,838,360,970,318,840,902,
048,183,821,591,804,914,873,825,260,803,008,531,853,303,375,508,669,086,314,
917,115,143,750,187,695,818,638,307,351,149,984,203,259,524,776,416,085,195,
335,210,640,475,406,895,872,323,813,160,355,359,889,851,485,442,614,856,134,
892,788,022,048,791,095,334,060,675,056,359,634,642,065,973,246,129,173,624,
525,241,035,478,205,575,435,460,157,481,593,385,453,628,916,446,970,607,496,
528,385,653,395,521,170,555,909,893,341,796,485,628,069,577,721,056,612,460,
722,465,370,106,058,992,549,981,744,952,915,803,110,902,461,288,501,603,080,
631,504,321,659,231,775,567,214,314,438,123,582,850,912,858,761,565,141,161,
961,656,948,999,386,461,482,375,616,242,661,620,671,635,462,845,472,805,733,
444,608,622,316,066,604,012,758,675,388,883,086,831,514,866,093,923,578,435,
813,231,172,568,507,214,059,582,961,384,536,515,471,880,759,090,476,116,540,
336,526,694,779,099,348,287,645,783,265,274,463,225,339,960,861,106,641,814,
770,407,570,768,817,827,425,020,338,113,417,159,265,542,045,951,303,690,517,
098,642,319,017,892,916,431,991,750,779,203,722,990,323,276,023,402,110,237,
655,771,693,603,291,494,993,934,063,579,158,864,826,061,364,574,756,148,565,
758,120,405,585,126,619,784,326,800,867,601,277,292,469,598,220,087,537,561,
603,262,537,859,314,029,153,190,672,317,812,624,783,755,178,279,007,603,559,
965,727,427,169,767,665,927,188,802,151,108,654,045,721,564,903,879,899,966,
030,224,246,717,377,657,229,270,466,956,696,897,189,891,645,910,466,139,787,
592,822,666,683,883,931,227,956,102,778,614,144,669,777,357,461,090,908,769,
773,088,233,168,506,712,134,485,841,844,533,476,480,075,337,120,621,017,764,
820,304,757,266,133,772,068,444,089,780,293,001,282,636,578,433,084,774,252,
122,364,544,993,903,055,118,339,695,466,134,965,792,116,512,845,174,476,086,
642,917,773,809,480,900,510,925,013,210,966,376,347,595,763,357,432,674,777,
752,153,617,114,917,508,349,459,119,128,122,469,667,338,316,239,122,983,582,
462,254,715,434,659,338,523,228,718,349,744,596,102,676,433,426,307,209,682,
388,845,805,928,762,264,766,458,388,502,875,211,138,425,417,099,368,517,140,
265,087,882,130,780,054,813,125,088,101,336,373,893,532,282,173,870,053,380,
311,865,255,423,289,752,600,776,591,595,118,017,485,560,691,618,772,790,494,
764,338,917,467,282,079,671,187,681,928,058,106,659,468,067,337,698,132,613,
350,945,550,956,746,312,017,171,198,283,062,009,421,667,741,108,944,162,359,
903,275,194,983,180,642,687,389,616,993,148,000,025,308,738,739,753,244,016,
765,727,830,238,886,042,070,455,950,853,755,057,146,428,370,856,409,559,771,
719,085,824,957,469,719,059,706,352,320,455,767,143,762,646,117,419,676,577,
019,044,443,508,087,235,422,976,627,927,449,843,837,259,747,258,054,231,101,
013,254,859,853,826,702,272,840,960,207,708,791,889,417,125,441,715,791,692,
400,307,195,885,797,252,529,034,277,902,101,707,791,275,010,519,366,887,625,
222,816,853,179,256,079,483,044,817,430,795,482,989,525,224,606,725,194,144,
614,028,658,314,384,112,210,489,128,837,293,161,797,062,092,703,051,487,463,
034,976,514,365,651,655,901,575,863,782,026,294,238,897,555,006,769,919,804,
410,861,783,926,351,049,893,610,104,967,813,051,977,110,342,126,125,781,132,
238,405,850,593,129,316,892,979,311,028,314,015,729,933,116,412,415,541,385,
476,597,711,176,949,564,374,917,106,719,908,089,632,832,906,128,218,368,435,
762,999,166,413,463,474,118,751,472,018,377,525,974,241,138,622,333,142,961,
376,297,878,258,563,943,731,585,815,246,249,020,782,379,072,764,769,554,806,
999,146,373,591,521,229,681,486,299,120,375,463,168,140,957,203,355,393,749,
079,488,899,296,344,846,274,415,489,532,971,039,661,947,122,947,930,819,285,
551,972,530,680,001,470,591,428,427,811,894,306,698,337,721,671,829,571,009,
626,726,238,398,832,528,153,916,433,888,126,710,530,364,851,351,104,959,611,
187,677,059,617,385,132,902,806,765,451,768,465,889,965,704,673,790,511,037,
868,389,681,251,171,393,238,761,887,159,943,287,219,213,301,322,185,416,130,
443,591,487,389,858,017,610,211,510,467,677,562,848,167,027,843,881,150,535,
713,819,331,956,883,144,997,024,412,871,004,465,670,557,500,576,018,018,167,
707,862,962,180,835,400,843,098,805,725,406,690,805,951,646,081,308,038,249,
109,119,402,149,516,402,713,632,774,549,522,581,070,391,705,808,977,315,271,
045,048,250,836,399,991,728,813,606,452,328,584,955,739,440,249,308,126,347,
127,476,674,074,288,023,510,068,412,641,164,870,203,547,511,565,938,787,277,
025,492,901,181,125,685,469,317,542,325,110,616,012,764,591,242,009,111,036,
539,183,416,191,479,159,086,731,493,278,942,973,094,931,993,685,896,311,080,
731,289,235,699,077,024,121,859,218,160,241,294,424,611,990,022,223,329,394,
445,960,684,202,878,628,544,226,601,380,859,165,635,597,402,062,924,767,059,
345,882,353,661,445,159,320,656,401,445,269,701,296,378,476,134,166,369,361,
687,058,173,983,890,607,382,473,900,346,853,827,653,487,349,785,788,662,086,
088,652,568,348,855,578,917,739,662,085,317,153,650,351,340,683,286,607,967,
008,211,700,452,716,105,921,005,498,216,436,200,632,839,038,346,289,790,233,
544,747,772,608,973,914,037,283,104,195,168,515,770,581,098,939,341,144,343,
258,913,084,967,673,579,182,326,143,272,588,232,243,849,889,096,954,158,354,
825,081,634,195,730,824,670,938,675,799,545,302,661,251,864,377,665,886,083,
723,449,883,472,588,506,315,197,338,243,662,585,023,750,052,417,602,973,458,
940,687,444,546,000,576,226,218,619,628,973,162,812,057,148,872,733,116,883,
691,076,847,411,017,733,173,437,851,981,144,465,049,304,116,840,089,791,678,
612,871,436,786,293,952,004,317,259,799,435,919,689,460,200,060,898,154,506,
244,783,239,748,140,275,282,092,427,983,161,343,240,252,319,538,515,932,017,
398,868,195,964,085,035,321,888,517,459,430,681,978,841,876,368,412,677,364,
082,853,267,206,774,266,659,417,856,971,800,016,255,904,469,490,816,598,636,
164,487,763,610,705,089,449,709,570,414,077,395,728,785,906,466,332,504,469,
481,588,125,033,974,411,209,759,694,903,891,269,433,748,335,837,918,159,416,
022,144,623,557,454,376,026,035,268,113,620,756,836,150,219,836,255,670,846,
393,457,842,772,916,264,141,425,415,662,824,691,586,657,092,643,751,032,236,
487,291,294,148,807,044,255,947,481,483,053,968,053,767,364,648,984,378,714,
642,353,176,058,844,294,542,585,622,498,198,761,158,471,480,479,557,169,350,
428,390,712,184,862,241,935,846,301,328,620,521,713,919,480,672,121,048,981,
857,016,362,773,260,597,507,146,974,409,752,845,064,498,412,966,729,119,679,
514,694,866,377,113,141,683,902,393,099,657,711,227,589,467,234,302,485,016,
803,627,603,786,621,307,222,646,223,727,160,566,680,776,500,451,342,875,949,
397,096,862,850,667,287,511,870,218,883,929,888,060,523,920,629,853,183,478,
252,361,723,035,309,991,891,139,018,993,409,859,007,992,333,959,969,249,354,
112,524,537,950,955,082,102,879,232,665,424,261,524,248,902,176,466,627,484,
586,709,516,195,954,095,652,676,330,532,020,004,175,818,274,652,412,682,185,
884,334,218,991,439,015,081,050,575,908,194,434,115,668,030,832,023,682,828,
392,829,785,850,103,622,933,027,940,101,905,112,300,741,747,843,124,273,671,
924,763,618,661,979,728,245,785,646,804,414,176,099,016,437,064,870,424,075,
451,034,635,154,731,201,295,351,630,103,655,921,690,610,400,808,536,787,822,
625,425,338,131,503,993,117,489,099,735,772,496,996,902,617,989,611,212,325,
634,549,984,314,831,272,818,881,979,606,887,664,060,115,694,245,948,418,816,
809,463,935,327,066,319,553,812,964,261,833,999,475,672,834,929,634,299,205,
521,867,385,254,924,015,285,446,474,995,722,570,067,123,152,708,768,592,211,
398,415,410,887,128,725,266,690,803,749,383,995,364,142,712,455,581,559,160,
098,913,609,845,011,620,885,555,650,494,762,309,049,383,889,197,215,357,409,
595,671,737,688,168,739,213,036,673,205,127,179,552,008,277,447,594,320,175,
600,418,703,251,786,468,186,029,381,970,297,244,167,912,327,703,577,948,253,
746,794,797,160,361,514,236,690,182,118,658,200,788,635,877,577,967,564,651,
942,049,287,670,868,841,089,288,129,537,006,852,585,694,274,548,841,386,293,
132,145,726,336,496,567,009,155,342,993,581,456,229,879,785,198,095,753,953,
703,270,485,044,178,355,560,916,848,206,042,390,901,308,554,534,928,865,186,
920,399,614,478,666,346,105,089,028,067,440,725,585,037,418,052,266,269,008,
022,161,909,622,919,488,875,983,261,157,362,098,685,488,472,792,908,119,028,
267,748,414,149,654,936,340,045,116,344,095,657,661,960,739,834,918,635,281,
911,394,687,965,356,953,431,073,162,803,778,828,957,425,736,074,366,355,360,
474,946,685,888,413,553,846,803,025,401,131,256,106,956,021,085,693,209,413,
516,002,847,265,271,873,777,114,498,410,060,949,720,641,410,424,676,097,642,
474,707,663,147,642,119,668,003,172,663,738,224,529,224,868,726,776,306,936,
972,059,623,582,129,659,465,814,960,350,720,493,804,767,812,804,327,633,078,
611,475,095,809,688,446,858,103,858,936,415,894,544,956,745,060,740,198,452,
784,493,617,802,158,635,054,388,386,314,456,989,619,178,487,104,765,547,574,
135,426,525,457,594,349,282,031,263,541,493,105,846,360,950,644,653,960,920,
541,521,494,168,424,998,452,425,118,314,284,692,559,924,238,417,736,456,980,
545,765,091,613,193,103,729,559,208,235,597,195,022,637,249,384,074,543,943,
106,217,678,951,952,149,607,745,545,104,372,595,750,705,967,682,710,340,763,
661,938,101,547,687,123,756,043,968,011,144,707,766,162,676,322,689,567,825,
385,856,582,688,304,453,922,255,627,787,460,333,098,023,755,074,306,879,263,
335,476,407,359,415,802,965,265,921,049,881,825,247,748,207,443,029,108,348,
083,055,468,504,003,866,115,305,577,314,110,610,866,042,060,187,827,722,730,
705,834,719,031,871,176,595,421,793,525,237,065,885,116,480,920,843,872,854,
152,383,532,745,162,805,229,006,286,871,510,471,632,781,580,631,821,236,417,
296,009,327,419,499,940,559,053,594,678,914,569,586,613,032,273,020,507,200,
429,069,152,975,710,371,433,976,743,175,723,576,006,688,259,537,515,179,669,
820,041,955,245,454,128,595,034,283,457,520,815,768,010,883,388,878,992,352,
337,083,912,554,745,124,889,403,303,228,471,242,282,025,842,652,177,276,757,
231,712,312,588,143,107,598,105,874,834,220,129,666,272,257,602,027,223,913,
830,565,633,893,606,395,939,833,298,599,404,858,557,856,722,025,008,276,974,
203,243,665,504,225,745,807,094,598,584,058,885,299,644,999,178,394,567,395,
235,272,133,341,532,799,984,325,229,609,467,669,497,059,472,596,850,294,373,
354,744,859,020,165,667,509,653,557,784,506,328,134,655,701,369,414,249,332,
865,370,470,653,384,625,295,284,936,559,229,456,029,734,912,838,982,919,119,
784,818,021,555,263,239,449,948,329,802,288,408,935,110,088,695,893,032,733,
417,525,885,560,031,515,723,580,883,030,679,519,866,277,844,103,983,639,600,
331,456,222,442,778,768,938,322,796,845,651,147,887,304,893,259,473,219,735,
069,095,445,010,383,724,747,963,526,720,039,655,041,281,592,126,916,953,541,
522,884,143,741,098,332,489,913,534,884,916,774,745,623,407,353,253,546,390,
198,033,062,114,218,006,125,086,181,586,795,611,523,274,109,135,313,925,324,
701,119,293,907,060,561,345,279,979,178,263,152,568,661,994,097,316,118,663,
239,142,800,327,059,041,678,399,519,600,950,427,840,211,157,194,193,549,814,
430,146,854,126,087,216,698,618,617,755,719,601,577,768,925,233,047,124,951,
134,823,529,949,858,711,215,643,932,703,407,725,850,153,913,513,039,330,466,
957,915,921,253,047,892,834,746,191,567,999,331,744,359,716,494,480,129,261,
218,840,956,931,731,830,534,247,349,249,548,291,433,211,407,224,527,106,891,
191,587,592,122,578,813,095,929,974,256,533,237,546,174,992,512,920,369,613,
360,573,542,746,954,799,756,172,738,366,367,350,972,359,681,449,297,276,983,
601,622,769,586,959,155,052,666,323,821,586,761,696,924,874,251,391,844,776,
053,449,291,099,074,527,769,308,088,828,178,697,748,900,830,116,450,760,003,
649,192,639,140,908,749,893,734,341,947,800,683,905,481,103,512,654,250,530,
450,745,615,857,914,359,187,173,969,612,325,985,051,951,594,285,953,647,090,
118,920,184,290,396,962,496,415,234,660,417,671,402,126,511,849,105,978,727,
309,710,036,516,827,310,446,508,530,751,148,070,959,667,527,116,809,960,894,
346,978,601,526,167,764,667,448,267,301,890,705,575,592,908,487,118,270,888,
184,260,224,067,796,446,996,160,769,496,011,714,181,355,345,514,150,867,299,
684,334,929,825,580,535,569,851,534,689,316,620,794,806,469,727,611,217,071,
589,168,262,048,180,374,684,549,514,547,656,812,946,380,827,139,903,963,571,
153,575,282,314,348,271,097,302,045,206,809,021,881,142,582,881,254,915,467,
615,851,015,544,208,164,221,030,798,089,415,444,782,244,814,761,026,641,789,
055,936,937,777,312,534,421,942,588,231,691,488,540,456,092,564,032,480,481,
360,450,997,232,787,022,041,829,525,854,208,273,804,773,436,951,771,397,561,
595,043,113,869,703,291,787,406,757,192,220,648,527,320,549,672,981,125,643,
235,581,170,961,767,564,051,704,788,793,989,554,897,701,462,750,201,694,544,
693,927,711,474,991,467,414,988,271,734,796,228,703,689,559,925,625,257,191,
854,922,724,685,142,156,399,787,728,635,728,985,179,184,968,561,910,639,238,
799,591,324,846,800,437,805,644,176,938,516,564,990,473,857,068,255,476,094,
503,867,476,293,646,888,505,782,660,684,902,382,172,633,363,634,515,253,022,
810,653,229,707,399,446,244,353,448,633,624,772,592,905,818,643,021,116,118,
020,012,412,542,620,862,375,551,585,893,156,737,473,776,885,917,793,110,228,
196,546,629,359,898,793,731,230,421,605,485,833,843,575,076,316,628,427,003,
055,243,731,666,266,027,971,502,823,963,488,363,667,911,709,877,190,466,210,
272,415,932,527,259,174,251,872,050,491,913,597,208,185,564,985,649,031,204,
141,963,848,300,073,171,205,958,045,355,806,683,810,191,114,757,520,750,723,
978,847,378,121,415,955,828,797,179,946,845,691,650,415,740,820,321,930,403,
044,635,724,280,280,319,185,943,738,842,627,379,530,733,817,301,036,688,656,
853,192,892,883,077,382,460,006,941,292,393,961,731,361,229,670,416,150,295,
747,134,419,696,271,549,535,078,733,451,720,200,448,164,724,516,094,316,253,
550,447,485,392,448,466,630,338,339,424,780,125,553,690,818,362,784,217,686,
289,877,239,541,853,612,336,758,255,245,758,266,742,670,871,596,951,781,163,
117,565,774,179,679,827,517,390,151,649,879,382,907,704,225,739,669,571,322,
199,845,715,538,440,511,344,830,537,320,103,262,563,088,518,934,975,967,187,
291,067,228,277,422,917,526,197,975,377,747,155,558,138,543,569,259,887,032,
317,191,722,124,868,512,928,924,428,337,602,212,040,263,234,013,371,032,294,
274,950,761,292,995,562,062,536,098,719,180,391,022,317,375,442,964,001,179,
476,060,606,386,085,369,015,020,003,073,013,634,712,360,773,317,086,221,044,
751,131,630,932,162,632,712,726,349,303,586,822,660,755,655,512,351,523,451,
067,039,734,644,809,260,411,434,061,236,762,420,613,624,639,947,811,331,762,
963,828,223,987,543,281,943,621,653,617,339,928,813,444,888,473,045,193,519,
988,137,181,591,152,313,276,845,073,292,015,300,688,923,557,235,441,527,700,
123,160,963,674,069,674,587,479,331,578,434,392,104,743,457,226,942,672,526,
390,482,145,182,853,080,053,347,518,767,468,684,091,982,734,238,025,303,544,
842,192,325,620,418,196,581,569,215,643,350,941,537,093,031,358,855,091,611,
930,577,810,343,129,952,450,955,735,837,588,572,165,579,721,111,877,791,661,
388,004,244,977,152,288,582,894,844,912,906,006,228,524,394,905,793,325,842,
149,649,048,893,902,524,204,099,433,303,189,552,113,889,495,066,933,346,355,
592,146,854,034,360,171,280,567,187,555,093,505,778,019,499,701,583,171,923,
780,788,439,069,653,126,346,355,726,393,102,038,515,031,248,709,070,327,179,
519,366,670,768,022,613,492,986,754,086,897,256,205,905,937,259,373,789,592,
228,329,236,442,140,331,905,669,858,704,534,411,186,197,894,959,177,995,709,
697,644,225,681,148,316,912,259,539,104,921,740,683,396,587,670,323,075,495,
495,292,453,295,633,544,455,904,906,829,361,946,518,592,543,616,149,502,001,
974,928,001,319,497,205,518,638,621,633,611,104,131,798,295,744,857,129,910,
150,744,384,448,905,082,852,205,192,467,197,202,480,861,354,803,674,459,953,
183,006,926,741,928,276,535,094,029,795,946,889,584,902,224,356,699,782,629,
186,253,867,604,520,973,586,206,168,534,085,930,409,355,783,366,165,698,189,
700,588,612,708,546,729,270,426,696,382,078,902,116,878,622,671,384,552,390,
849,608,470,884,544,697,335,709,792,778,014,195,204,025,562,582,644,403,485,
563,747,723,990,916,253,417,087,433,151,221,529,544,404,424,980,792,648,579,
735,824,830,139,962,036,769,242,129,039,861,477,065,982,078,091,503,895,679,
527,722,752,654,997,818,351,105,488,302,633,809,860,104,745,599,114,153,284,
634,194,336,393,506,528,549,902,578,539,050,033,381,136,522,503,189,746,620,
264,042,523,202,316,276,557,295,199,367,387,030,666,812,202,189,383,371,674,
227,407,762,710,584,270,525,981,121,660,276,453,996,167,510,351,430,453,375,
497,108,359,086,028,424,952,280,017,806,456,981,767,821,412,193,096,942,121,
599,603,799,722,289,071,030,337,764,901,948,613,246,807,983,333,930,557,443,
579,907,259,576,428,888,274,121,894,697,191,755,028,659,608,198,924,484,644,
081,127,031,289,302,581,670,417,198,402,807,229,713,988,979,663,105,779,859,
611,058,265,799,398,517,825,053,604,115,896,544,720,267,455,234,268,549,630,
402,999,396,220,959,506,457,402,504,596,020,279,583,937,965,344,727,628,057,
367,481,904,315,971,144,931,989,628,960,058,833,827,415,098,394,914,269,746,
910,311,844,813,030,000,610,815,612,180,069,852,828,202,179,675,112,188,903,
982,684,129,151,830,245,062,077,127,591,264,720,728,127,714,109,850,098,701,
747,119,926,221,556,489,760,330,508,171,767,572,498,681,439,287,463,047,866,
365,029,094,072,903,665,630,971,527,470,783,711,042,640,608,783,028,624,339,
262,604,162,987,333,728,589,931,136,182,279,772,939,535,271,501,987,507,686,
969,153,059,330,158,656,107,252,290,615,110,039,699,402,531,103,652,857,620,
358,611,650,552,417,047,439,641,409,932,106,312,692,855,997,668,174,633,329,
093,416,678,068,252,995,931,709,990,098,779,021,306,714,345,161,758,295,649,
174,900,911,983,687,073,588,916,818,521,411,469,609,549,537,676,778,478,684,
615,982,126,258,435,841,083,321,966,800,680,222,109,629,041,855,701,863,713,
241,337,555,638,674,601,906,415,524,470,175,128,909,267,619,456,073,011,471,
727,798,780,985,680,983,595,585,372,166,046,104,356,694,477,611,590,171,897,
713,484,536,093,228,963,793,591,698,451,610,966,630,089,527,041,810,944,521,
831,197,903,796,321,821,389,433,987,613,075,447,873,630,043,070,018,477,418,
311,439,013,335,196,471,035,599,340,689,392,238,711,319,284,098,720,668,264,
946,156,415,344,903,811,759,135,616,361,248,071,084,844,112,875,715,016,449,
712,115,323,606,516,087,302,134,589,579,964,991,837,254,862,531,806,171,805,
304,297,653,419,993,715,349,164,615,509,447,400,301,117,013,282,530,969,860,
989,753,530,612,252,566,452,521,497,752,013,675,920,881,271,425,001,855,163,
598,512,971,939,328,999,787,058,106,789,302,814,329,297,812,404,408,732,523,
691,254,436,085,592,002,840,798,315,933,959,794,051,676,881,459,718,323,006,
066,948,615,475,066,521,242,532,886,684,742,881,845,603,961,250,362,381,467,
140,915,791,715,870,256,675,317,744,882,573,138,359,346,115,848,878,062,391,
457,935,365,956,987,179,015,918,165,359,416,959,954,773,555,743,234,768,384,
897,866,669,530,339,734,695,728,500,398,083,648,643,236,659,445,421,145,734,
103,657,668,315,074,038,392,240,125,156,462,082,353,656,945,818,085,162,812,
412,994,466,787,193,025,850,090,248,144,970,662,740,087,049,586,142,117,193,
885,293,195,519,122,432,824,659,864,132,254,882,557,867,009,189,699,485,831,
616,554,658,258,555,813,153,449,733,027,953,906,727,141,043,538,320,371,323,
043,397,764,350,863,820,203,377,949,912,199,515,190,574,096,565,424,822,445,
418,261,612,080,486,203,946,336,345,850,852,815,663,840,638,296,706,562,637,
538,162,571,139,997,377,358,170,865,202,000,063,321,043,971,467,448,408,261,
824,458,446,610,989,958,368,260,588,970,537,244,201,934,325,206,603,175,237,
683,846,324,540,692,785,677,398,504,941,872,150,422,125,263,887,787,891,358,
320,022,773,254,647,873,120,168,753,488,448,192,945,745,523,166,906,819,575,
156,613,390,905,021,977,159,492,286,044,969,220,518,723,653,120,348,413,330,
674,498,225,495,250,624,401,357,467,190,409,042,645,640,407,724,049,446,020,
876,008,182,949,109,524,424,943,478,552,767,047,987,759,195,425,849,087,267,
387,702,492,524,948,636,307,353,909,853,213,578,067,198,625,666,271,706,771,
580,351,888,999,960,215,424,017,099,269,420,159,078,613,547,796,837,694,724,
047,286,925,933,061,019,760,501,821,028,278,463,088,800,838,043,123,519,425,
761,732,478,076,374,126,519,938,579,377,572,629,522,436,832,131,651,613,965,
517,069,946,494,468,493,437,445,251,543,928,757,053,042,343,421,181,115,456,
489,947,921,243,986,066,355,653,965,006,899,202,882,458,256,618,954,008,454,
374,755,200,022,445,118,637,515,794,916,992,570,679,899,863,896,089,663,152,
213,377,151,732,549,304,529,975,434,579,162,845,881,720,531,600,837,664,254,
358,643,337,448,641,690,325,259,138,064,798,669,018,057,038,202,561,491,818,
383,224,072,882,377,551,509,908,422,866,729,560,020,575,210,996,394,885,498,
850,735,872,470,051,905,568,178,990,678,289,500,242,215,422,523,849,478,188,
432,267,025,352,608,764,805,443,443,997,542,319,431,158,743,914,010,740,436,
079,434,494,221,834,005,648,602,606,407,627,897,963,726,642,092,755,979,902,
547,183,988,693,963,858,062,656,523,993,408,192,677,130,802,671,011,753,159,
444,366,192,071,364,449,243,926,037,983,017,868,611,299,327,655,499,207,866,
505,359,392,842,440,670,089,640,795,529,016,630,284,829,721,329,237,399,116,
248,159,064,655,437,962,079,857,102,298,771,409,322,601,931,382,090,250,873,
196,687,518,478,571,536,597,306,560,901,069,269,281,384,155,190,245,908,383,
848,821,448,628,997,825,337,435,248,420,724,031,808,394,926,724,850,922,109,
223,317,468,668,791,685,749,834,697,256,072,202,839,897,371,520,038,743,066,
078,232,779,762,158,225,186,519,188,068,181,026,316,924,429,923,200,444,299,
253,364,322,280,980,341,310,480,457,972,795,549,962,122,326,554,236,492,634,
233,654,198,150,124,145,483,520,103,267,517,654,700,743,054,841,917,043,840,
866,769,927,925,019,670,175,254,130,692,173,938,138,522,339,426,802,375,380,
821,265,340,592,977,353,792,847,833,622,850,840,622,496,745,608,549,394,546,
228,986,691,797,402,916,140,003,489,943,259,250,140,384,618,718,705,256,836,
653,884,435,478,665,475,677,111,020,033,690,339,815,318,501,781,925,008,013,
791,904,710,843,089,560,434,870,509,416,682,014,800,122,433,834,621,820,148,
873,503,383,899,688,407,303,591,425,643,734,594,019,894,050,136,224,978,210,
756,778,734,585,134,138,406,508,350,244,010,860,812,743,871,916,058,790,445,
577,296,591,876,069,347,866,287,982,903,150,644,473,796,651,599,532,305,803,
803,263,354,735,860,348,705,903,952,487,329,856,743,569,295,874,670,325,260,
751,619,836,946,044,399,584,647,390,113,942,762,150,026,893,333,560,716,521,
622,807,926,462,483,264,102,626,612,798,915,305,681,004,625,229,640,063,596,
886,663,574,947,530,212,547,164,998,432,168,029,424,958,960,402,091,475,020,
814,760,823,191,779,806,769,326,187,079,812,085,318,126,912,027,460,282,241,
274,096,746,781,382,649,338,596,496,161,962,598,009,542,019,421,806,872,700,
038,191,141,011,328,884,132,760,726,571,993,496,125,936,346,391,315,382,314,
875,104,074,743,590,738,695,039,774,061,373,938,088,257,786,919,666,702,668,
189,326,029,814,130,691,643,085,503,880,866,924,030,418,598,050,000,452,435,
340,588,032,959,699,492,263,672,162,710,976,933,614,383,854,528,287,515,743,
874,922,308,221,713,136,066,462,261,547,184,086,025,199,563,421,341,317,887,
460,536,797,947,180,173,415,254,750,551,500,950,300,384,533,261,605,361,981,
092,410,657,507,884,401,727,225,723,083,472,001,626,220,453,336,538,997,623,
078,172,040,459,820,433,631,432,194,184,994,789,215,890,724,394,849,506,526,
630,637,667,861,104,283,258,208,670,006,715,542,032,764,643,754,339,641,294,
383,354,424,606,623,118,841,451,789,139,971,636,934,430,500,647,711,502,156,
620,820,774,287,978,744,102,410,025,692,487,171,997,815,319,885,992,298,384,
041,709,748,851,976,084,717,034,897,580,680,692,153,964,969,005,767,689,507,
788,527,660,349,805,820,264,371,070,986,429,191,869,310,943,125,323,845,919,
153,499,941,750,361,341,735,076,004,669,719,811,673,954,649,363,215,385,239,
438,087,761,579,166,889,798,200,341,062,652,020,209,851,466,000,668,953,402,
168,205,356,190,951,964,423,465,153,149,236,850,262,826,484,338,433,535,261,
708,997,725,685,312,481,376,792,435,177,582,254,169,996,780,453,102,511,995,
420,340,570,271,788,453,303,138,109,765,411,366,080,853,920,927,960,557,131,
495,231,897,446,177,727,520,758,462,682,510,541,668,985,257,037,825,673,255,
728,490,960,392,708,084,097,390,720,832,546,906,996,071,620,333,896,381,887,
038,128,575,275,088,223,539,228,301,241,524,684,589,009,348,556,088,383,981,
284,398,876,454,956,105,542,859,014,423,611,731,850,900,259,314,299,764,014,
455,729,755,928,132,801,716,562,849,363,851,078,581,120,957,657,873,024,472,
982,178,164,275,941,540,303,022,264,900,121,505,917,706,459,380,138,552,936,
895,154,215,500,913,203,859,621,208,990,161,800,585,789,417,570,559,666,303,
581,926,659,451,868,036,374,282,272,497,811,368,534,266,961,013,619,861,866,
785,826,904,366,362,193,409,559,289,358,907,092,304,723,666,652,451,132,118,
846,683,094,948,656,464,111,784,687,913,422,326,470,030,152,889,744,650,751,
961,755,302,135,169,076,235,762,154,773,311,349,442,853,242,521,255,838,985,
822,412,303,607,398,137,356,146,809,691,245,405,555,412,438,308,115,441,471,
228,464,512,463,467,867,958,907,099,754,138,421,238,471,420,475,840,153,775,
941,543,239,315,710,373,963,955,800,899,780,786,852,457,733,261,989,714,958,
960,654,000,735,158,749,515,547,819,911,604,814,080,872,652,446,445,512,681,
134,951,249,738,891,835,362,028,512,723,992,205,506,551,555,694,117,514,840,
606,711,616,282,139,169,782,364,558,795,736,069,162,134,156,642,627,697,906,
817,696,157,623,612,191,462,085,996,478,440,869,327,028,611,319,983,228,811,
469,227,301,371,343,405,283,171,301,825,234,277,196,824,927,528,681,570,553,
644,744,899,148,674,704,399,532,193,469,104,878,364,163,846,698,314,155,339,
887,645,551,238,950,469,371,621,983,611,803,494,748,703,785,383,448,200,062,
761,422,479,929,297,512,482,111,509,319,318,165,149,516,683,114,445,662,700,
593,103,933,732,140,892,616,949,029,765,444,831,188,237,908,707,639,379,195,
001,753,771,576,691,702,502,834,543,578,389,365,785,109,466,162,781,561,099,
158,039,660,205,030,252,584,162,779,590,663,622,321,035,627,449,644,236,638,
565,638,281,248,095,088,828,259,145,018,558,986,975,767,754,282,631,370,652,
289,549,732,332,919,246,308,910,657,713,487,943,808,254,900,405,552,076,089,
954,740,182,060,303,952,295,977,841,355,195,670,919,950,217,617,351,257,284,
173,221,403,847,698,723,249,689,314,755,432,414,523,429,114,650,537,257,237,
593,531,426,218,664,589,658,372,985,683,620,058,477,828,286,472,583,937,249,
537,533,996,279,662,810,119,421,807,312,305,305,876,558,948,077,055,930,537,
504,890,638,433,878,614,864,867,964,249,616,069,568,263,900,146,697,229,580,
997,220,763,736,093,404,076,205,219,047,364,297,119,301,663,527,607,190,427,
951,716,139,590,319,322,233,314,470,451,915,437,701,705,009,845,190,120,119,
352,837,394,637,904,399,683,970,667,639,783,907,045,478,147,230,535,093,629,
787,009,429,455,834,894,698,234,288,830,117,062,588,106,553,968,573,520,627,
664,895,932,347,490,044,654,332,236,050,848,796,149,638,143,379,139,457,060,
967,507,958,682,400,099,792,584,842,503,795,048,273,430,633,781,723,779,071,
836,097,061,769,693,489,402,140,151,154,936,151,971,261,371,383,466,997,954,
617,283,756,876,449,937,440,848,903,510,608,606,368,483,393,010,223,613,653,
141,958,767,372,260,295,274,399,172,968,091,842,478,752,969,134,727,422,786,
537,683,586,663,412,239,246,960,141,420,306,411,456,451,573,029,753,404,905,
096,039,761,788,605,402,757,298,078,717,298,504,211,385,342,238,360,462,641,
077,160,656,730,532,740,743,142,829,518,429,791,526,717,995,400,012,632,989,
890,743,704,209,513,618,295,796,122,159,687,102,754,695,622,672,820,946,278,
091,438,084,819,748,225,279,860,296,410,812,592,366,827,927,797,119,155,847,
469,417,213,116,678,045,752,246,397,073,840,822,758,350,483,341,237,174,354,
953,526,844,987,523,815,104,790,484,466,288,865,420,375,811,750,713,663,940,
138,074,039,490,284,904,405,551,965,868,048,209,816,546,901,981,996,265,645,
258,676,518,459,552,440,665,856,434,606,595,964,527,799,017,409,740,500,166,
467,553,299,666,564,529,755,124,282,471,164,758,844,563,219,664,132,249,742,
992,281,441,305,334,029,969,760,153,019,580,791,999,166,351,699,748,735,071,
446,973,506,508,897,223,755,048,987,832,576,102,810,062,084,056,114,129,316,
303,439,952,190,601,014,576,381,308,261,680,230,014,710,433,098,244,964,980,
767,675,100,941,924,719,894,249,420,668,983,577,953,482,343,866,479,422,844,
595,758,802,662,920,643,639,387,248,048,965,851,183,647,169,284,898,248,117,
613,944,974,978,833,878,183,681,264,883,400,920,775,482,609,659,557,641,944,
185,665,075,090,479,875,945,425,219,782,460,988,802,578,936,752,785,431,286,
573,289,944,269,618,310,215,661,081,450,897,046,437,739,996,176,139,037,333,
934,039,760,342,279,060,456,291,987,832,561,857,083,194,214,674,271,679,998,
098,477,199,008,427,251,801,987,445,842,369,848,759,530,807,810,377,766,122,
148,701,948,352,427,696,693,012,189,621,471,734,822,339,789,055,448,136,658,
006,481,462,277,545,797,121,309,663,609,803,793,522,774,637,649,784,729,198,
623,733,346,153,454,343,907,843,660,972,383,137,825,028,554,767,087,279,158,
623,455,125,724,932,581,880,282,096,234,322,452,227,673,557,060,632,720,156,
832,907,826,091,846,773,695,281,036,800,578,113,236,415,481,377,112,113,583,
816,513,576,633,503,356,689,340,160,017,653,702,633,565,510,764,856,850,009,
713,312,475,579,706,803,645,473,073,661,253,224,576,271,651,633,263,551,373,
953,077,636,577,583,766,989,499,681,100,324,421,584,907,237,582,800,225,046,
751,066,588,585,256,724,881,068,171,890,718,104,725,073,595,769,399,542,199,
386,550,601,729,425,237,817,095,605,455,701,016,104,881,185,173,756,421,216,
273,877,894,450,581,224,189,660,076,821,143,052,088,326,997,772,733,087,355,
325,929,334,637,231,355,649,348,948,587,216,581,345,535,698,031,722,982,706,
792,630,817,574,188,113,396,098,880,939,006,637,267,792,209,763,820,671,131,
778,057,720,820,823,799,050,808,370,009,258,097,253,009,191,419,334,610,247,
630,537,992,957,339,365,159,286,294,860,553,508,867,582,619,264,100,704,665,
488,172,924,792,795,962,921,134,706,583,995,147,742,696,743,695,256,337,297,
424,878,971,817,080,818,537,353,645,039,103,877,942,406,197,232,710,206,282,
101,869,896,396,415,393,551,889,160,188,908,262,956,215,101,328,527,572,623,
187,931,615,959,191,235,067,125,623,146,506,813,009,204,962,622,952,998,789,
341,421,063,822,010,962,200,454,852,720,648,757,355,912,672,115,922,908,355,
828,084,800,305,786,701,409,591,716,430,384,964,796,734,372,762,601,886,058,
173,237,558,888,019,677,303,472,547,644,758,730,368,855,637,965,793,913,654,
546,011,367,362,187,568,433,427,859,564,813,130,221,656,362,306,767,312,228,
848,987,588,852,157,787,274,578,799,931,773,089,413,331,623,712,188,071,044,
536,372,222,371,528,445,358,136,298,984,211,144,151,576,577,924,182,597,000,
248,473,482,064,283,609,128,814,677,884,682,088,286,099,857,218,330,688,759,
377,090,000,827,430,025,635,557,913,440,637,747,790,503,859,305,770,899,285,
891,428,664,771,518,415,219,589,868,841,842,399,396,295,190,101,788,377,140,
937,865,805,654,090,959,934,914,324,219,988,611,559,100,017,865,525,297,510,
692,324,425,431,097,067,633,838,354,947,317,416,752,048,965,574,183,101,698,
643,671,498,743,412,268,973,428,084,315,764,335,147,379,742,434,152,542,506,
194,388,868,805,751,361,738,616,228,507,788,521,971,778,982,806,241,284,488,
307,796,623,334,872,207,363,132,465,731,752,427,038,276,913,760,151,473,069,
839,284,367,278,285,368,002,137,886,210,936,408,653,988,689,827,676,587,276,
889,271,429,514,361,010,159,309,334,801,348,404,480,918,683,934,657,723,981,
121,982,255,416,973,204,325,615,111,943,750,932,954,569,367,022,127,860,349,
824,619,561,240,113,680,728,257,693,006,626,068,588,099,833,014,762,433,235,
850,229,166,112,993,073,235,934,733,442,785,008,310,705,866,493,601,091,746,
580,548,033,087,763,978,107,305,113,777,037,220,407,785,712,679,460,544,953,
342,091,235,332,997,117,282,981,653,203,144,480,544,512,811,030,419,226,855,
870,775,060,837,623,814,466,044,413,168,780,354,067,339,797,020,440,933,420,
285,532,418,697,178,026,291,285,419,731,996,412,494,840,832,021,105,065,780,
517,315,598,855,884,065,768,307,551,917,038,334,091,895,459,001,367,726,606,
802,980,008,570,339,279,042,298,666,935,369,936,389,601,001,948,037,791,297,
546,451,551,772,483,852,322,291,722,195,001,262,028,620,464,641,269,503,205,
366,717,726,629,804,884,931,767,452,179,055,650,271,722,469,882,732,489,227,
421,050,163,396,333,112,346,915,350,648,092,881,525,698,833,688,154,813,403,
954,795,012,275,231,060,359,145,699,635,280,812,932,120,886,126,942,075,514,
387,559,537,638,518,046,865,247,043,813,239,573,316,682,117,480,141,952,849,
698,904,697,070,629,977,226,927,234,021,651,560,249,494,411,789,795,057,072,
918,504,967,887,501,908,002,181,326,816,399,920,684,147,440,991,949,448,305,
654,323,656,982,091,599,228,003,245,732,287,382,824,433,394,191,235,891,444,
202,215,953,165,071,504,905,697,178,460,098,901,207,987,896,916,263,505,750,
172,804,602,759,117,370,179,777,873,753,504,774,716,965,830,484,805,368,712,
338,761,417,899,433,080,645,905,044,318,960,251,159,112,050,475,438,952,177,
144,626,046,333,827,540,379,686,954,047,137,835,283,557,619,123,264,280,787,
067,401,996,425,704,702,285,635,837,476,555,137,980,422,242,070,627,600,399,
361,620,503,305,447,217,469,557,377,148,381,883,566,109,997,494,617,561,225,
937,986,269,224,356,664,358,494,320,033,834,864,732,285,277,967,219,843,472,
102,535,053,346,022,331,535,098,404,395,017,503,572,699,867,065,281,787,988,
143,520,379,604,236,297,113,876,811,299,938,449,745,269,333,329,203,685,028,
243,618,558,046,196,001,832,773,651,654,156,576,579,325,458,493,690,374,405,
979,496,252,940,354,408,983,164,201,806,024,364,308,816,499,851,048,711,727,
411,891,706,716,616,133,968,808,482,722,118,592,760,789,256,784,594,694,304,
398,304,806,852,454,162,245,217,977,245,542,272,103,594,889,169,020,199,836,
682,336,939,931,930,896,678,184,147,901,535,035,327,630,095,456,202,324,417,
608,204,249,180,049,998,251,854,439,126,888,247,575,864,504,784,034,041,609,
434,088,265,903,101,749,924,467,486,146,876,743,234,586,848,239,639,211,986,
713,121,318,818,474,044,743,319,694,708,872,555,984,280,336,751,181,607,714,
755,171,813,117,924,674,090,151,864,938,345,820,137,259,062,288,486,626,103,
451,377,850,136,363,755,142,382,276,904,543,201,222,759,637,432,693,370,540,
516,154,046,614,717,077,237,248,117,314,091,608,163,330,760,981,755,132,422,
237,745,136,062,186,289,063,314,320,720,860,331,190,017,067,163,868,846,924,
820,925,904,591,248,431,318,377,130,793,822,868,237,748,812,456,851,147,953,
957,399,009,240,084,758,403,768,642,774,370,998,348,363,837,145,374,852,112,
864,742,075,282,717,307,674,866,600,375,449,167,662,012,437,089,922,332,661,
304,257,162,483,496,605,840,449,860,000,251,407,272,406,839,477,122,322,276,
279,510,608,678,997,339,278,799,514,383,034,151,384,440,383,260,379,363,939,
126,386,959,793,190,440,595,316,052,911,631,051,963,408,754,046,655,143,821,
450,715,071,031,740,526,593,231,333,034,810,603,242,896,093,648,644,013,791,
569,039,877,030,313,221,859,570,965,706,574,360,033,918,326,416,729,460,828,
737,053,004,023,447,252,354,688,687,821,696,919,276,074,116,756,154,161,050,
743,885,865,877,742,692,657,808,691,623,955,544,853,652,464,535,493,098,458,
624,485,637,629,392,283,104,313,651,740,030,945,576,231,065,428,998,592,401,
526,206,042,822,876,214,451,433,527,148,454,746,760,136,540,890,728,146,027,
203,766,755,429,655,160,557,408,069,629,725,722,423,311,533,449,040,239,143,
657,678,582,536,881,893,329,238,246,942,074,826,914,789,006,855,800,444,757,
083,426,200,491,150,162,570,259,574,427,314,167,793,489,316,489,707,314,433,
981,383,954,449,057,516,945,739,041,339,127,104,151,046,315,616,336,304,104,
595,080,231,631,458,926,586,859,246,059,180,480,394,797,856,911,391,164,687,
654,693,618,380,244,255,806,376,001,266,542,906,784,315,220,027,986,074,412,
110,632,091,928,264,094,521,226,475,574,190,342,519,446,524,764,349,902,575,
635,066,691,174,439,231,914,648,266,655,563,673,955,379,947,828,635,493,016,
457,573,981,350,742,653,050,876,197,260,894,491,105,580,313,217,219,771,901,
337,991,805,780,691,948,214,741,814,030,014,177,632,409,127,331,064,280,007,
666,472,145,226,654,299,211,267,200,939,218,988,360,120,304,062,335,254,307,
132,690,763,885,523,720,937,834,990,826,261,164,626,391,460,308,353,168,426,
368,926,603,785,479,226,197,775,584,757,367,732,992,547,299,534,140,551,176,
923,448,344,712,412,432,202,148,031,897,549,053,826,178,132,470,005,268,472,
456,969,102,791,344,783,582,837,538,029,757,657,769,446,668,152,163,785,114,
088,859,875,133,234,803,121,883,296,836,266,318,522,849,834,316,484,663,915,
555,580,242,951,637,480,134,626,622,918,702,216,493,909,606,273,406,703,046,
812,777,852,867,070,907,530,842,207,754,280,354,383,490,581,140,350,636,870,
006,562,786,855,983,323,716,607,114,832,557,780,259,934,271,198,557,321,973,
271,307,813,330,628,282,189,619,484,991,021,585,095,394,865,751,689,948,991,
553,456,952,943,374,154,492,488,932,055,039,077,743,252,894,812,824,116,083,
013,501,700,571,344,410,662,266,809,064,629,309,765,200,582,087,439,369,896,
289,005,521,351,216,523,985,471,138,144,841,026,402,894,351,568,032,505,212,
883,782,330,916,939,597,793,731,403,109,945,604,506,473,226,079,046,266,452,
275,018,158,913,779,442,555,324,404,985,184,774,749,438,185,786,202,310,378,
373,122,640,822,943,244,596,940,783,947,031,964,308,839,310,317,294,741,044,
827,005,614,984,682,220,249,523,934,264,796,508,541,014,888,084,572,812,310,
670,333,504,522,476,869,690,820,511,801,316,932,914,746,653,797,133,744,508,
351,412,503,849,971,318,652,039,258,684,577,615,648,029,091,589,773,474,523,
890,006,411,481,221,505,002,027,396,879,289,913,765,375,975,731,575,480,670,
325,622,536,351,762,438,953,882,577,230,062,714,581,447,076,289,251,077,466,
487,380,541,571,179,178,323,030,642,336,773,462,378,980,874,666,899,922,797,
192,982,548,324,656,116,331,505,711,881,918,434,527,120,206,853,585,435,105,
829,852,642,414,700,792,648,598,843,513,634,270,486,355,015,994,717,056,389,
579,811,223,047,665,450,695,556,928,200,885,451,910,277,261,428,159,528,667,
358,462,065,606,525,632,446,001,639,909,557,811,735,780,061,425,349,421,705,
284,303,704,639,118,412,172,592,009,190,504,685,998,544,538,669,660,932,601,
971,304,222,777,736,332,249,551,253,650,064,611,757,099,517,295,359,502,018,
375,508,541,502,883,527,493,489,647,867,256,342,715,492,437,132,870,298,123,
070,613,010,778,623,514,617,925,246,916,161,830,275,833,774,962,527,989,615,
822,601,782,056,542,112,800,046,280,231,987,848,178,649,517,424,435,723,929,
690,618,867,240,961,750,111,819,811,326,504,998,132,593,873,149,781,563,876,
730,768,514,013,090,417,027,726,814,397,214,435,211,073,739,205,649,754,098,
015,710,637,809,351,661,175,030,498,638,035,302,325,783,930,321,746,360,214,
563,525,830,256,727,257,657,928,425,941,197,302,661,715,961,513,315,314,910,
298,251,281,779,970,694,498,474,859,797,277,925,191,456,782,439,393,887,680,
668,841,688,742,533,769,170,995,450,924,386,464,033,366,633,260,601,321,934,
131,709,482,713,272,341,463,026,829,363,135,570,870,059,396,706,661,007,168,
510,947,817,264,614,139,703,877,510,108,780,865,340,168,333,886,818,476,401,
722,744,782,238,932,452,316,075,102,421,325,018,661,030,243,082,448,272,942,
810,831,543,572,597,398,654,267,050,884,493,591,625,477,603,143,121,556,926,
261,679,539,949,883,492,323,341,490,960,649,983,449,428,076,666,185,850,232,
222,848,119,613,699,568,604,462,633,310,369,115,553,068,954,343,558,726,348,
794,187,504,231,779,187,204,428,825,060,152,234,873,174,521,198,689,080,747,
116,810,144,385,488,320,278,005,697,504,762,581,267,647,942,402,600,875,419,
654,752,598,421,130,726,812,205,359,345,047,483,676,509,141,136,239,059,482,
855,995,028,588,167,796,162,067,960,466,940,099,296,264,861,334,405,529,693,
871,578,051,391,212,357,089,106,879,138,565,598,511,244,191,960,930,648,260,
272,513,027,147,817,407,242,116,640,628,455,380,441,573,139,707,775,798,994,
509,319,526,200,623,565,908,391,468,568,401,583,789,703,242,240,011,290,202,
889,955,240,686,488,787,624,359,568,540,160,030,406,744,224,923,769,069,818,
387,170,291,744,595,100,433,815,619,793,911,249,263,762,915,654,747,448,547,
954,965,504,938,138,153,410,659,235,996,902,209,234,932,061,481,123,940,046,
717,601,159,635,358,187,296,174,710,180,679,297,508,854,305,103,531,637,671,
365,812,965,727,186,144,458,977,934,926,212,121,474,882,925,928,671,317,225,
444,203,630,852,388,860,881,866,171,376,170,092,235,472,212,731,731,381,464,
650,692,812,561,013,301,562,742,122,505,152,217,777,605,647,675,429,772,532,
018,172,793,406,477,867,194,485,367,436,784,315,421,634,722,132,879,584,545,
629,517,312,344,665,885,672,877,335,322,265,703,570,942,155,087,663,602,651,
578,946,592,700,783,322,197,556,173,935,819,223,392,821,557,570,032,836,404,
986,562,883,718,623,968,961,087,656,977,526,240,665,914,283,281,585,800,121,
504,807,745,623,956,900,967,446,384,523,471,152,634,416,573,689,864,989,927,
410,325,721,466,408,153,743,039,040,194,391,387,295,041,112,847,256,182,439,
216,573,142,859,271,312,547,033,537,701,892,374,362,467,157,245,184,948,654,
833,054,783,208,168,404,531,603,914,734,085,038,310,147,745,766,608,647,803,
530,405,374,635,408,309,985,096,228,978,118,610,114,258,153,059,433,433,411,
232,724,725,130,105,479,595,402,909,409,399,251,958,819,382,966,957,506,630,
022,447,111,220,472,540,996,540,442,338,051,393,580,719,555,160,030,320,426,
022,616,536,880,886,355,436,818,373,544,230,544,647,882,999,857,640,869,239,
282,901,689,772,725,508,812,931,930,592,500,902,264,226,912,724,715,154,677,
282,165,354,776,975,551,673,658,484,726,574,968,154,246,312,170,283,953,797,
614,122,202,333,190,522,440,348,876,406,173,353,068,985,020,611,108,606,072,
428,248,384,083,861,780,206,300,220,544,175,495,591,432,901,107,564,039,611,
847,476,472,473,663,819,208,076,957,747,408,275,320,827,438,707,696,862,387,
979,029,495,998,294,142,038,850,849,825,595,867,699,164,040,539,692,389,394,
676,585,879,148,715,049,519,545,336,845,696,745,088,521,047,094,826,706,478,
905,735,895,615,933,780,613,154,496,690,108,250,895,106,285,418,815,752,557,
041,325,463,849,506,347,951,683,703,844,066,149,730,455,777,871,631,387,830,
794,774,155,961,111,282,691,356,101,390,140,877,726,706,102,625,763,989,881,
928,204,071,119,459,470,958,527,380,672,530,058,134,733,924,232,810,595,688,
182,717,083,551,079,131,561,542,340,074,625,113,515,152,469,714,738,299,497,
837,522,098,913,493,581,038,897,589,387,681,007,810,217,636,653,563,574,920,
107,127,623,078,651,265,587,123,364,117,575,367,393,867,834,668,494,151,068,
662,472,023,522,695,392,999,917,161,193,858,618,475,584,847,272,616,138,467,
300,725,097,128,269,580,378,491,854,257,381,318,349,862,681,682,099,680,837,
786,857,140,869,158,028,206,684,281,373,762,604,044,951,968,357,021,283,064,
155,665,898,834,864,998,537,449,501,510,898,021,321,713,061,622,966,210,547,
053,538,134,118,541,473,266,420,126,162,285,986,478,124,654,336,457,941,702,
887,502,356,962,718,378,414,666,761,659,885,866,731,987,063,562,491,532,081,
792,416,887,315,832,726,242,402,244,323,179,737,321,473,354,016,046,384,653,
112,169,341,567,727,172,200,670,365,364,536,124,291,346,297,555,674,983,482,
672,173,982,777,473,219,912,311,347,286,931,095,248,410,348,251,907,507,442,
268,809,459,887,016,625,904,394,066,086,005,620,840,161,648,652,570,205,352,
826,798,848,542,221,095,614,641,175,075,101,341,301,098,862,895,610,278,012,
653,548,229,486,518,198,976,761,206,253,043,945,966,311,703,894,329,571,212,
688,525,784,592,930,309,565,431,957,262,278,711,116,430,584,377,141,872,439,
098,798,518,969,660,388,786,962,315,383,307,630,950,788,626,899,305,074,750,
143,857,860,849,425,307,306,312,101,868,097,365,622,866,208,905,100,165,929,
947,671,971,868,345,848,568,880,817,937,011,821,134,522,449,587,240,810,377,
446,463,548,117,609,927,138,230,801,258,165,552,081,022,112,413,865,691,906,
858,015,058,881,363,749,946,173,291,638,781,832,557,474,268,992,148,840,239,
765,321,596,523,508,863,540,958,328,432,627,890,801,156,496,998,850,734,720,
122,806,832,953,942,718,856,477,624,443,580,676,143,139,125,504,856,972,041,
345,706,318,926,111,114,292,074,384,845,529,591,289,441,442,396,451,293,332,
264,017,385,497,891,127,976,401,264,748,208,022,628,353,540,111,370,088,445,
837,593,335,033,658,407,598,266,217,146,713,613,467,242,960,766,642,095,727,
639,685,458,557,998,367,128,315,714,594,100,295,586,796,730,493,853,322,980,
285,952,429,052,619,947,049,142,235,462,856,753,501,721,661,409,106,008,788,
322,149,550,447,695,533,270,589,799,714,158,170,595,647,360,451,006,243,938,
756,589,111,053,495,740,687,936,157,380,014,004,328,577,319,089,192,664,242,
560,206,869,310,140,871,612,227,183,933,337,341,020,875,825,142,620,832,682,
722,638,037,809,269,224,191,667,251,016,512,280,957,764,866,519,731,230,863,
529,723,165,024,234,490,250,751,072,232,007,491,790,473,259,709,798,121,159,
828,209,713,598,917,966,754,651,724,139,692,755,366,667,677,228,409,936,300,
207,455,807,368,387,053,383,194,236,945,697,543,766,111,710,186,810,121,946,
741,796,583,146,777,146,684,807,783,086,088,738,077,383,494,569,409,099,945,
812,769,817,437,317,599,042,887,045,777,368,230,539,664,954,664,249,334,234,
803,935,337,689,548,752,156,888,586,292,781,084,831,376,097,166,933,153,314,
826,151,619,935,209,369,867,738,745,565,344,581,502,600,606,750,232,967,303,
074,823,658,229,580,941,669,355,472,011,137,615,072,815,477,930,009,930,183,
764,154,620,071,389,905,911,415,746,044,233,635,213,462,715,142,343,172,724,
305,536,283,392,449,635,498,634,413,692,673,458,030,008,171,267,762,366,947,
202,043,177,438,086,950,647,309,627,966,198,959,733,705,976,086,690,388,743,
176,798,995,926,758,765,899,810,387,792,374,362,132,818,513,073,324,259,462,
835,124,093,263,767,556,302,286,241,296,887,824,907,861,654,261,274,527,750,
726,910,258,667,401,406,788,070,799,618,783,012,287,522,737,428,034,253,708,
739,524,849,739,047,458,872,280,035,901,119,771,937,164,850,961,782,934,623,
569,626,239,810,945,385,299,364,213,389,589,127,241,996,117,104,474,409,967,
342,751,461,495,908,440,750,099,016,986,091,585,224,683,136,743,542,332,653,
492,262,560,189,136,407,325,079,946,814,114,256,085,222,975,623,212,104,123,
057,526,375,852,277,978,865,752,328,740,542,451,685,078,779,646,232,400,711,
232,492,649,699,335,481,916,974,022,443,202,463,902,834,766,175,469,727,316,
216,843,596,394,117,193,751,312,766,086,304,855,184,832,214,309,334,574,644,
736,479,994,178,738,568,540,928,317,031,192,975,387,507,044,735,674,065,367,
529,872,082,406,477,198,686,006,136,354,566,463,883,651,162,888,148,635,049,
341,830,429,823,986,366,585,824,655,987,869,822,017,062,873,104,941,662,944,
447,747,285,935,124,687,834,485,411,194,529,591,719,866,400,266,138,699,720,
721,046,893,236,864,008,898,940,410,113,318,920,794,745,887,182,257,253,266,
371,818,640,494,975,028,885,573,040,572,616,742,926,561,430,093,880,582,912,
180,325,837,321,798,272,768,514,424,624,425,949,751,376,011,394,355,402,735,
416,283,865,071,740,245,384,743,152,027,613,785,813,879,009,820,699,156,352,
203,290,724,060,881,534,395,187,161,909,119,035,097,236,570,115,288,593,570,
759,249,573,796,163,334,778,050,533,364,270,899,676,570,230,837,350,635,505,
541,983,245,500,136,014,391,662,281,227,231,625,032,518,145,166,525,048,052,
812,748,218,384,700,585,821,556,542,656,474,492,656,280,135,814,501,575,587,
977,968,706,845,040,684,180,901,475,831,795,862,351,340,334,352,146,418,046,
095,801,634,871,210,371,632,342,451,919,599,024,706,012,498,203,476,159,986,
982,803,065,711,704,835,892,642,378,102,121,249,180,082,043,172,131,684,981,
043,144,511,116,526,891,661,026,060,751,976,139,869,765,229,520,804,723,619,
819,915,902,812,617,786,862,457,183,358,339,854,831,790,686,643,948,418,158,
951,282,925,767,474,328,743,316,916,793,453,690,275,834,016,714,804,387,103,
138,127,285,863,273,390,675,829,337,865,265,457,743,839,356,214,879,088,062,
353,104,520,879,981,978,688,066,394,479,060,305,666,860,031,431,122,824,164,
472,233,795,567,142,909,749,993,731,016,915,355,783,023,902,525,062,444,457,
320,531,161,637,754,425,321,862,036,412,608,201,677,000,620,549,717,574,445,
817,041,449,709,701,930,273,198,249,635,113,732,844,994,792,471,581,498,230,
826,144,510,968,389,099,662,431,167,020,510,753,689,050,006,388,898,391,709,
150,422,804,923,960,179,007,580,740,718,199,033,962,626,304,846,592,960,554,
619,285,007,794,868,698,483,492,711,680,594,537,102,593,271,074,333,501,924,
778,043,727,540,834,116,797,028,321,721,348,071,544,624,521,033,605,797,895,
958,470,035,871,964,965,053,849,524,835,694,935,939,126,307,771,473,538,320,
425,934,627,356,208,513,129,378,040,833,832,853,291,517,924,956,616,232,300,
327,709,578,872,143,812,142,631,693,523,962,118,351,272,543,119,374,635,111,
009,850,384,198,194,521,116,358,652,050,728,396,018,341,286,059,910,762,841,
353,052,690,610,955,094,421,063,052,300,243,863,644,126,497,095,871,675,792,
001,203,912,769,422,589,017,681,569,195,499,135,648,277,290,458,498,809,726,
204,885,441,966,929,791,116,407,006,048,684,569,025,253,358,394,104,495,529,
271,097,743,901,893,665,341,296,571,731,608,303,314,696,238,342,190,355,983,
441,863,137,660,036,858,588,721,099,712,489,230,345,361,670,265,928,891,117,
465,887,622,499,195,088,558,535,536,440,795,048,857,814,920,860,115,415,594,
931,391,346,925,554,549,350,120,872,105,318,138,254,608,718,708,450,081,480,
542,424,340,610,310,582,817,139,052,505,945,648,144,096,715,469,150,075,352,
175,288,787,757,745,023,312,300,410,926,749,439,277,291,071,374,758,160,194,
465,606,086,655,345,405,024,832,435,463,980,999,937,563,790,063,391,796,003,
110,938,701,653,431,979,344,015,325,048,794,055,275,819,045,734,065,007,901,
789,797,390,258,350,178,661,456,254,945,372,786,607,590,155,135,645,737,151,
313,668,380,031,902,751,510,873,041,485,698,624,498,135,559,419,525,064,795,
957,684,691,865,013,202,387,250,341,565,317,285,738,429,275,107,102,570,099,
977,453,753,821,345,661,903,665,479,788,788,522,077,650,854,023,555,132,287,
755,972,704,022,142,456,204,592,448,232,200,603,182,049,800,109,213,721,573,
972,340,036,199,489,212,113,072,737,967,211,791,331,623,085,390,059,942,409,
802,517,211,297,606,408,279,974,367,772,032,920,768,089,723,906,564,722,797,
147,342,198,079,255,803,677,485,655,318,786,658,384,749,299,061,184,770,119,
394,151,070,492,355,200,264,454,054,146,212,411,774,668,126,203,986,365,711,
094,258,145,682,078,186,823,006,361,864,612,043,632,858,582,354,475,921,649,
256,562,485,624,157,173,048,288,310,875,809,910,522,342,088,864,815,141,758,
495,892,096,455,629,588,308,958,494,868,369,735,635,638,865,478,021,549,144,
485,205,719,448,788,457,663,897,457,784,292,230,453,681,239,032,242,393,481,
905,686,912,512,630,382,668,054,209,815,135,014,386,581,905,254,246,485,321,
495,320,607,095,344,484,091,814,121,419,865,571,181,359,425,861,550,702,475,
473,600,912,930,093,704,431,022,509,709,628,724,675,210,409,200,085,339,306,
150,034,181,184,080,677,535,540,328,710,765,655,429,046,947,820,210,405,132,
530,232,361,472,169,392,822,023,060,919,516,311,417,987,285,514,135,071,824,
429,725,458,429,815,664,989,212,678,956,513,426,681,253,830,994,882,366,481,
206,308,498,597,981,373,026,704,683,566,705,304,422,280,849,911,548,961,602,
336,385,191,843,746,843,038,453,744,125,189,041,216,143,942,862,526,137,549,
440,464,862,145,888,381,347,190,927,509,336,981,585,589,585,072,451,241,961,
450,574,278,807,046,183,639,564,232,932,328,719,931,465,229,383,622,704,233,
362,603,169,178,495,412,790,128,104,372,829,046,396,831,254,140,808,010,181,
551,563,718,222,016,974,696,096,623,224,343,917,805,482,384,156,275,443,603,
204,284,054,728,958,436,543,279,506,612,287,825,636,974,105,632,103,365,560,
391,058,254,502,384,514,573,492,936,717,672,609,337,474,459,569,940,060,544,
102,573,020,574,567,855,338,459,108,740,426,122,348,185,194,725,742,825,483,
124,788,982,656,314,768,917,627,658,991,501,919,335,831,049,210,792,868,023,
447,149,993,632,465,551,782,112,194,612,008,341,780,313,910,863,665,388,763,
000,712,747,106,616,992,360,991,672,451,059,690,299,139,480,809,975,726,051,
541,167,234,569,915,824,324,988,147,071,170,717,090,252,327,724,425,489,688,
203,789,903,514,096,125,061,797,874,989,492,076,114,508,134,143,149,175,633,
648,669,637,205,053,271,243,394,928,748,690,881,129,924,818,633,006,547,789,
689,847,563,945,612,954,235,684,186,734,694,906,675,708,307,128,605,380,396,
186,772,282,553,856,800,751,957,073,762,357,435,931,885,861,784,282,079,234,
288,954,999,442,727,248,795,892,120,532,636,318,499,544,691,685,972,840,804,
771,533,356,734,478,544,814,453,961,103,744,847,211,996,953,421,998,757,941,
899,452,737,371,311,228,858,095,564,931,588,786,981,926,841,371,803,022,748,
029,362,057,152,341,781,541,754,219,344,883,043,482,700,930,817,672,708,623,
438,163,234,349,654,104,502,755,512,325,249,515,103,575,753,924,035,922,768,
082,013,214,538,236,238,218,850,059,605,988,677,840,329,647,866,552,729,431,
157,947,662,401,276,192,717,422,193,013,443,941,506,135,778,577,557,043,055,
222,039,030,458,090,707,097,320,037,007,649,468,112,492,894,630,473,634,430,
042,059,000,925,253,041,781,407,425,006,487,226,675,462,908,365,174,000,658,
612,108,351,893,675,512,572,560,069,579,544,697,713,567,943,928,529,470,791,
060,526,935,754,833,107,405,257,888,896,559,035,038,714,001,165,745,267,755,
721,042,766,289,492,847,591,514,535,628,562,341,725,394,591,463,070,662,723,
226,767,058,986,891,362,488,714,050,013,652,448,370,559,394,480,235,428,583,
757,515,606,536,087,249,371,352,626,850,809,651,470,394,043,567,037,594,573,
459,751,472,281,640,411,343,999,871,808,033,697,530,276,465,793,156,805,744,
401,954,338,092,959,159,790,613,704,690,301,805,316,922,655,962,175,990,739,
273,819,904,717,989,883,526,802,379,218,567,337,604,352,775,076,422,459,793,
718,918,547,048,957,781,806,326,820,450,220,077,908,374,744,006,757,447,907,
023,761,459,300,259,091,839,191,272,912,023,488,463,482,334,911,209,621,495,
891,801,627,722,566,068,198,856,552,561,996,482,976,085,579,226,001,223,495,
360,640,049,706,982,557,804,178,419,505,470,936,380,557,391,273,075,705,269,
716,150,159,111,410,006,151,446,603,505,135,157,457,432,091,956,914,807,446,
686,420,780,476,438,596,857,703,887,939,356,464,628,625,448,782,911,219,919,
211,764,512,843,415,516,254,451,323,569,204,383,361,842,729,954,330,145,080,
796,297,458,216,854,877,940,908,785,993,787,952,515,319,234,216,879,783,217,
573,972,689,467,559,087,582,535,475,554,020,763,865,143,456,384,812,639,734,
871,299,594,888,207,732,721,257,762,998,631,202,116,874,250,630,033,417,542,
502,151,528,230,622,782,619,742,117,524,564,688,857,542,974,613,315,821,012,
600,895,786,047,319,361,171,875,247,365,436,199,992,341,123,652,464,377,410,
588,807,247,754,077,035,064,149,829,862,695,732,991,993,373,204,356,555,394,
036,354,097,017,023,208,212,392,410,015,603,222,987,957,174,766,441,292,338,
165,898,611,232,039,204,914,982,909,394,061,626,538,075,482,513,036,078,294,
691,870,141,903,655,908,935,218,573,090,265,179,409,869,809,479,574,997,068,
656,043,996,872,623,013,584,060,552,209,690,489,068,377,513,507,469,511,511,
407,548,672,214,671,708,393,380,331,076,957,871,560,488,967,503,949,328,030,
371,273,388,144,115,270,189,618,229,112,635,684,005,834,645,021,605,586,586,
953,209,307,024,175,913,778,428,764,020,222,063,278,998,591,344,896,514,313,
793,536,542,194,189,511,193,568,534,053,754,625,546,611,943,925,131,347,665,
038,196,320,886,896,481,028,720,785,886,549,402,263,540,607,249,393,596,306,
297,754,271,796,311,130,955,537,557,656,439,665,192,202,392,143,346,739,958,
149,987,901,993,306,781,230,487,880,168,711,412,446,214,946,037,904,599,926,
199,331,224,684,116,917,950,896,764,940,421,331,875,376,421,271,729,052,923,
892,251,050,239,720,866,984,314,438,096,302,875,980,437,361,343,059,058,703,
267,387,695,294,717,826,122,931,805,339,470,729,045,568,388,000,779,316,554,
104,160,627,564,828,118,501,950,091,262,620,165,921,814,732,309,301,937,635,
441,716,731,772,984,259,084,025,947,421,095,517,903,386,167,216,133,466,239,
902,292,457,410,216,091,879,327,005,471,106,385,102,748,980,243,426,553,281,
377,259,233,860,922,348,958,290,689,432,106,994,126,135,882,096,149,028,041,
928,827,471,084,041,100,355,244,695,377,356,987,860,378,277,714,214,881,896,
968,788,505,022,234,057,804,201,052,046,441,780,210,852,834,578,594,027,802,
772,481,194,934,962,131,980,036,708,198,986,342,545,034,315,696,126,469,435,
027,797,476,854,456,271,752,214,488,969,621,054,572,106,573,679,351,939,559,
828,676,301,699,219,769,481,863,952,782,469,536,594,905,599,787,531,947,200,
194,978,251,745,100,489,164,617,305,762,514,925,120,881,573,835,317,006,254,
671,081,236,352,054,220,078,484,348,611,555,849,145,028,733,647,755,171,997,
033,629,066,768,349,309,752,300,388,256,922,397,314,766,498,165,996,007,281,
891,879,756,847,625,454,330,969,001,684,283,221,118,432,256,889,961,759,659,
262,556,301,101,223,743,298,080,365,683,893,911,853,897,845,155,233,167,900,
262,649,561,252,785,540,846,444,064,027,964,996,965,249,702,235,867,045,931,
623,751,177,822,866,154,506,723,636,295,915,829,183,354,981,212,129,501,457,
087,796,918,736,568,459,462,710,231,680,746,351,113,152,381,833,781,146,518,
051,811,866,561,432,875,119,665,058,479,961,713,444,881,469,027,449,089,445,
327,450,442,378,173,064,995,081,954,177,422,997,193,516,758,443,609,092,416,
370,656,213,872,380,374,914,758,612,925,590,442,850,429,984,262,864,537,657,
411,306,396,063,388,252,932,733,013,129,658,597,218,184,739,566,729,552,149,
233,298,101,543,086,753,875,509,804,477,569,409,184,745,457,194,764,731,168,
551,261,373,729,392,323,545,046,427,713,670,215,825,008,875,256,125,893,194,
363,519,728,052,053,357,583,884,466,300,935,715,839,048,838,174,938,842,697,
516,384,631,240,809,009,700,193,113,181,200,574,295,705,142,607,747,174,214,
976,539,721,564,360,014,851,091,016,649,935,724,929,116,155,000,936,607,608,
185,003,152,431,237,260,359,029,754,152,995,146,449,030,714,979,264,085,863,
844,719,847,041,078,616,722,316,714,939,977,503,283,700,988,568,353,911,190,
375,195,729,574,529,969,384,360,950,234,110,370,805,169,553,167,605,459,052,
943,678,827,032,625,319,097,678,284,310,886,865,359,073,216,948,892,072,552,
938,658,088,287,349,458,559,502,615,115,501,561,368,431,273,046,782,514,252,
405,917,824,722,728,223,040,989,423,265,731,211,835,118,388,253,393,414,625,
284,125,626,199,108,685,464,291,680,995,193,357,406,508,721,256,819,284,891,
560,509,379,497,387,310,892,848,264,863,034,485,054,590,589,224,616,761,743,
773,926,325,224,495,659,680,371,283,088,684,552,763,764,256,964,029,459,606,
867,912,881,507,722,389,201,672,752,544,760,123,458,506,242,854,880,400,765,
655,040,998,621,483,510,512,447,855,122,952,695,205,935,930,445,874,392,396,
942,617,489,353,605,504,983,679,681,278,344,803,761,173,091,171,935,591,211,
908,044,722,890,942,461,840,792,086,069,697,835,406,749,131,629,797,121,990,
969,262,692,010,463,385,999,318,519,597,262,736,176,214,790,689,898,819,816,
617,960,558,375,559,527,729,635,945,389,871,182,376,195,972,212,931,430,354,
609,632,978,362,766,353,190,689,591,683,933,493,200,885,754,205,441,193,231,
278,412,396,262,252,331,856,718,036,425,825,388,507,503,243,249,894,516,893,
591,345,114,909,581,137,176,802,412,128,015,351,596,001,791,437,642,386,462,
314,297,272,347,574,011,117,074,506,423,651,769,683,313,267,283,170,043,259,
721,758,596,658,058,209,641,722,128,339,095,445,848,475,200,640,217,191,212,
893,376,187,325,363,027,465,879,656,137,599,124,373,966,236,704,281,434,546,
875,155,964,157,934,011,267,383,010,008,605,433,448,154,377,067,967,302,569,
518,078,985,141,059,535,258,569,542,247,054,898,620,506,626,125,386,496,704,
922,646,117,978,742,626,454,415,597,179,160,087,635,841,269,025,269,925,117,
473,168,297,832,182,320,725,019,172,553,805,414,272,613,953,959,644,921,544,
350,902,560,454,916,171,275,529,003,623,301,969,394,719,864,020,508,398,874,
764,553,971,374,851,338,253,686,005,714,188,957,241,375,932,043,463,378,515,
034,827,520,817,295,674,428,933,141,675,029,401,917,220,335,820,954,664,784,
981,211,893,643,429,998,273,519,976,087,553,338,839,057,706,057,887,648,130,
117,338,959,964,072,419,468,869,515,657,074,255,887,135,369,508,384,914,312,
778,173,773,178,334,185,091,393,097,623,413,986,651,693,492,253,074,684,762,
268,312,535,718,764,828,773,133,034,146,156,329,118,502,081,084,950,501,706,
365,357,839,956,810,022,487,809,675,745,344,236,476,147,724,356,262,350,684,
837,581,821,221,502,998,805,028,957,266,662,558,477,432,949,953,473,799,847,
991,787,070,992,779,971,591,121,579,046,111,730,266,466,477,128,825,521,712,
774,147,634,112,932,036,903,112,988,880,421,554,325,367,080,759,215,970,660,
299,246,083,038,271,223,778,163,604,303,136,097,303,623,548,341,955,148,767,
391,646,255,761,902,705,370,220,121,143,743,860,768,435,827,097,284,212,469,
323,281,425,477,434,257,269,670,983,560,505,984,751,310,438,892,350,731,598,
518,165,193,988,133,427,494,371,027,745,485,175,261,145,359,821,536,478,142,
142,859,516,690,317,258,982,574,157,091,292,778,100,939,446,315,291,265,538,
807,509,980,746,426,215,940,466,319,449,435,874,432,613,600,798,991,468,371,
255,043,720,282,052,723,112,912,247,819,679,720,610,935,850,639,281,524,499,
654,124,852,297,806,446,904,332,143,345,890,857,721,633,149,520,362,535,488,
387,804,168,029,796,189,259,260,263,357,959,731,702,617,049,654,613,221,813,
743,419,680,426,455,362,429,994,969,629,948,120,199,939,239,668,598,769,871,
025,201,799,843,410,517,629,502,633,475,943,929,018,541,790,952,068,718,908,
024,559,289,246,522,872,911,640,417,251,116,468,253,544,400,264,530,803,580,
579,640,413,308,816,229,935,025,521,754,639,084,871,132,313,960,937,089,552,
754,646,683,651,720,909,580,419,219,573,479,567,279,758,345,237,666,764,437,
332,889,560,034,332,078,635,933,291,993,552,356,673,113,092,192,037,146,326,
507,025,162,597,036,123,778,692,279,374,953,501,791,372,026,538,141,653,533,
018,565,946,207,431,943,695,648,953,463,183,686,648,090,215,450,408,831,590,
949,651,374,020,112,243,282,268,045,684,134,020,286,367,234,806,923,064,053,
921,157,421,656,507,536,693,162,414,851,557,070,867,933,589,761,561,557,144,
115,639,934,970,251,367,804,591,874,918,631,357,513,754,617,497,192,842,095,
777,597,899,827,642,639,354,122,115,358,195,092,205,248,883,087,467,341,193,
648,445,294,091,492,732,764,110,758,646,295,535,328,501,958,613,341,708,550,
898,166,520,639,227,307,429,774,039,187,391,675,964,333,873,083,619,201,481,
907,177,023,857,750,658,309,845,384,878,639,812,468,360,492,029,023,391,561,
883,155,857,504,125,431,782,778,727,406,093,738,553,571,799,990,817,443,319,
711,215,068,261,621,908,996,115,832,939,022,157,259,446,281,921,981,689,639,
942,758,523,770,054,192,547,852,514,209,494,347,807,125,747,407,835,264,366,
002,704,083,159,629,499,061,724,791,313,763,878,977,950,112,784,586,857,232,
418,279,297,636,043,527,136,248,277,299,854,184,840,285,698,839,451,335,086,
630,482,189,334,001,460,535,078,716,806,413,148,106,144,821,836,188,935,710,
874,593,110,885,367,393,785,239,824,397,877,876,489,665,548,195,629,027,928,
590,666,158,029,951,681,938,105,578,984,455,098,182,370,747,943,862,731,568,
226,244,900,365,825,193,497,408,420,034,511,030,636,408,965,357,800,888,220,
647,227,564,258,253,698,908,862,136,853,489,654,717,341,450,742,090,573,754,
593,689,507,906,135,215,532,899,534,830,015,371,970,368,770,481,904,870,249,
930,967,437,170,792,978,273,096,113,818,259,973,237,143,947,832,331,186,593,
148,375,054,769,932,004,090,458,192,086,268,577,145,336,053,284,963,183,790,
533,737,007,043,331,475,320,125,349,340,260,263,464,909,565,874,618,449,672,
929,217,948,151,423,819,189,768,726,281,371,329,412,460,859,597,411,047,003,
551,940,083,941,082,482,288,557,785,568,079,751,657,266,314,957,729,468,661,
093,095,561,668,922,853,902,729,486,619,611,658,686,290,528,183,544,721,954,
569,237,491,002,201,549,032,742,405,027,704,609,982,482,953,096,595,922,257,
315,700,941,138,774,772,878,061,720,820,759,142,674,695,916,007,260,694,442,
607,902,764,809,228,697,507,625,997,502,255,266,745,349,585,243,105,814,212,
383,182,179,146,414,243,906,105,976,345,156,451,787,513,139,987,524,073,418,
880,341,696,967,733,089,426,738,420,069,874,646,389,064,310,477,909,399,170,
797,575,693,164,370,443,230,315,499,667,876,138,909,334,892,603,269,075,695,
899,725,991,440,848,381,080,576,648,942,479,676,735,094,520,044,643,754,225,
995,766,638,127,541,292,894,162,718,908,206,696,796,611,168,796,135,093,097,
350,210,510,198,798,602,773,393,450,508,731,009,324,028,619,687,841,788,843,
651,146,976,887,641,929,627,441,693,182,726,808,313,102,678,816,634,340,953,
606,689,510,240,411,184,035,570,494,403,272,925,550,463,137,858,923,373,993,
814,491,959,218,061,144,882,042,821,007,117,000,396,822,970,074,154,541,208,
680,333,125,553,090,410,876,890,565,700,453,248,527,815,863,300,636,086,263,
991,730,166,677,736,091,681,677,398,356,549,947,938,255,295,063,614,728,501,
204,790,874,504,879,859,056,380,415,963,921,353,737,432,904,101,078,136,227,
902,861,265,629,810,293,406,505,315,318,829,992,270,794,267,761,158,085,432,
643,194,876,871,334,537,200,624,997,253,428,198,470,388,108,373,602,080,828,
358,991,353,602,346,988,534,193,843,709,557,268,422,997,757,927,826,081,208,
058,843,973,988,891,093,313,104,729,180,557,721,727,728,801,232,240,684,367,
438,987,587,431,374,787,343,316,025,314,213,734,649,840,143,305,066,028,616,
431,167,139,554,867,805,672,140,451,553,616,557,768,745,936,707,165,300,757,
607,075,996,766,892,022,713,348,655,985,531,141,905,529,544,080,035,574,561,
175,276,088,930,123,209,063,107,722,885,664,841,795,075,897,980,311,866,979,
662,164,904,644,134,384,163,500,960,032,044,957,876,291,272,627,205,860,623,
558,884,917,616,760,063,262,064,253,784,470,415,560,065,375,272,265,326,232,
060,395,809,372,888,250,252,543,497,087,605,154,148,662,845,792,250,489,672,
398,919,136,738,271,192,939,825,027,347,077,975,426,132,747,768,444,036,519,
734,813,426,497,672,545,837,542,561,566,429,657,985,975,475,565,073,266,647,
047,874,777,589,679,363,985,020,649,021,996,428,091,409,680,725,195,445,196,
158,454,211,554,291,715,993,299,759,133,976,802,229,323,374,913,135,087,457,
140,446,268,650,715,572,477,529,016,127,823,097,921,695,617,300,545,456,040,
726,065,522,856,694,555,757,163,519,446,804,378,445,276,927,729,081,657,109,
801,723,432,020,090,688,983,919,905,585,984,173,309,687,263,142,585,454,742,
134,340,064,688,761,629,893,400,935,771,839,338,059,669,157,748,587,136,321,
770,032,153,222,087,226,894,128,396,143,246,720,406,228,284,318,924,907,809,
120,096,737,576,259,808,384,346,541,704,010,838,258,313,745,795,407,279,594,
531,275,195,142,577,370,296,531,130,580,981,343,635,614,907,164,783,403,841,
102,315,658,104,550,788,011,827,214,804,992,064,860,283,810,669,792,447,657,
760,778,055,204,909,996,705,053,555,155,627,047,302,211,879,279,849,666,370,
414,786,724,779,476,601,839,842,546,843,247,095,831,619,454,396,104,666,746,
484,411,848,827,036,469,822,386,397,876,667,848,997,375,686,889,044,291,591,
636,366,466,446,241,057,188,680,076,584,405,256,137,015,608,330,809,750,798,
300,550,740,790,437,573,501,867,683,091,422,284,298,606,757,863,392,576,332,
492,222,015,144,649,715,388,203,704,436,524,487,751,818,363,688,625,482,012,
987,593,044,372,262,566,995,491,637,579,043,873,268,802,753,987,916,081,479,
919,642,242,963,299,366,229,322,017,547,662,404,940,967,603,689,244,076,766,
676,716,612,308,645,047,460,204,748,750,804,252,468,860,839,539,821,327,428,
064,193,630,427,862,019,627,327,182,393,209,724,153,995,370,204,819,336,589,
122,238,761,175,083,036,712,023,934,791,355,690,678,850,368,370,601,362,705,
120,321,971,152,131,651,596,831,995,622,972,583,014,698,837,308,801,124,742,
255,592,445,359,009,039,552,695,131,593,927,442,726,105,718,498,110,541,443,
436,793,754,791,211,552,626,282,736,492,200,279,304,007,943,244,710,983,509,
225,387,162,708,247,378,076,925,273,340,188,303,506,435,587,700,076,060,495,
899,873,052,679,031,183,684,219,049,998,328,176,971,231,764,476,251,493,701,
391,161,161,096,013,323,474,366,415,670,515,626,595,450,958,150,170,902,010,
405,947,806,537,850,850,028,766,743,491,098,399,404,852,703,926,828,333,503,
890,446,996,221,108,751,608,538,775,669,393,743,864,208,131,747,299,510,442,
650,341,768,173,519,579,285,055,391,259,193,594,005,918,633,369,873,642,195,
636,393,992,317,199,842,148,199,669,695,109,725,024,686,240,439,129,626,423,
369,711,323,099,435,793,049,100,971,466,778,203,233,026,787,956,757,965,250,
927,944,880,710,223,419,323,467,777,252,919,116,961,110,429,938,540,970,127,
265,474,836,840,153,153,335,630,446,772,845,375,607,724,153,755,220,204,462,
489,542,561,599,802,905,573,671,735,100,074,201,091,251,218,959,250,058,779,
294,621,294,463,578,064,241,099,600,585,524,272,038,637,606,130,695,463,628,
454,640,888,028,903,239,102,393,239,575,187,909,074,858,460,869,768,564,650,
854,730,251,035,035,182,083,533,506,936,856,279,989,088,896,093,979,978,267,
233,099,142,367,855,556,810,856,304,912,056,877,472,773,524,340,277,120,619,
608,625,807,402,655,445,986,279,172,527,751,573,792,200,806,488,678,407,364,
526,447,178,286,297,368,907,736,194,111,102,467,044,403,758,526,299,732,446,
669,238,421,395,881,408,901,670,498,992,695,016,368,434,225,187,764,001,035,
080,274,159,943,427,411,604,066,923,658,448,139,311,818,763,865,496,615,800,
741,613,573,256,180,160,999,235,855,016,042,936,626,895,261,478,585,108,402,
934,998,866,937,743,504,462,588,639,221,122,468,787,922,580,546,894,084,691,
053,796,506,185,135,042,974,236,756,493,803,628,166,100,560,002,988,789,790,
034,481,916,832,331,741,996,871,168,560,923,462,759,907,459,162,538,964,996,
430,461,984,700,447,425,433,388,390,698,464,373,769,683,284,278,578,671,917,
585,213,893,059,717,934,807,209,911,391,977,095,662,519,320,792,282,540,820,
466,133,300,662,771,469,776,057,149,830,124,628,789,432,484,513,819,656,480,
028,577,926,681,503,802,850,358,549,379,995,598,213,576,896,262,800,713,347,
055,142,594,846,806,118,812,237,997,294,069,908,206,052,260,714,207,472,817,
592,218,534,002,530,611,703,364,149,844,540,033,123,488,043,743,508,315,331,
388,721,029,928,709,965,184,111,528,433,620,404,581,086,704,390,130,809,871,
284,497,307,096,513,859,795,336,472,578,976,248,119,890,223,210,962,160,158,
263,490,218,407,174,497,309,480,913,443,846,398,157,524,656,713,103,842,624,
429,020,817,883,959,483,537,731,312,364,832,456,198,065,763,115,268,910,973,
768,789,993,714,137,177,737,725,901,798,430,629,019,242,226,866,437,612,381,
159,350,370,847,223,709,372,438,773,813,896,834,519,362,872,561,673,586,639,
044,344,115,908,078,014,236,356,418,399,647,543,141,270,598,622,692,423,594,
012,089,416,148,340,789,636,797,027,118,779,805,925,253,241,458,783,433,861,
724,128,984,186,649,152,127,507,371,232,498,899,927,158,073,804,777,702,677,
885,031,364,317,506,894,370,368,376,244,607,784,205,961,280,684,656,326,014,
000,318,934,351,526,173,607,459,394,074,021,961,410,924,900,516,433,795,155,
316,490,873,429,750,839,861,776,187,699,536,847,325,345,024,222,582,491,036,
796,878,673,236,871,692,415,221,002,383,817,928,188,909,294,685,168,443,716,
725,201,285,502,495,748,665,805,562,456,067,370,198,893,260,951,849,834,875,
387,058,734,763,404,989,348,261,571,154,357,422,654,538,697,144,725,978,748,
063,962,073,642,865,962,446,122,661,250,637,195,654,105,011,050,220,459,698,
568,790,027,031,589,467,268,200,339,731,038,461,991,897,973,433,514,888,977,
049,814,046,839,941,497,905,513,765,786,305,999,614,774,957,884,016,677,962,
961,904,586,424,222,871,290,145,368,149,008,742,598,609,424,520,722,445,847,
741,047,651,258,705,908,471,384,740,613,940,880,395,164,837,792,563,336,024,
175,614,983,923,484,359,567,441,453,298,755,202,557,628,265,641,786,130,984,
355,159,870,977,492,313,143,095,109,427,003,391,405,435,394,118,298,416,081,
478,595,369,916,943,301,551,483,381,213,284,409,222,283,819,108,969,750,359,
466,043,880,478,245,588,036,894,255,888,997,499,833,149,486,879,660,462,887,
649,486,482,576,414,011,352,266,995,378,130,995,043,234,370,841,463,431,834,
185,051,412,959,510,992,450,968,037,359,585,683,058,465,124,661,301,228,894,
834,074,938,805,665,487,481,346,353,589,452,876,576,216,587,581,384,595,512,
580,777,147,719,689,612,659,558,587,397,925,832,399,407,314,526,076,574,651,
993,666,035,474,153,515,078,208,900,257,805,306,476,373,392,286,057,790,043,
372,854,843,178,133,217,883,267,465,037,409,562,151,528,970,444,738,336,397,
971,355,426,278,442,692,283,405,591,281,586,418,123,143,354,022,730,418,252,
494,844,388,262,139,201,587,224,012,123,570,537,347,089,657,547,934,917,317,
718,655,806,580,704,991,170,989,989,861,511,045,272,108,463,630,291,651,583,
445,944,259,918,333,415,491,999,719,110,371,497,004,038,896,915,218,383,894,
116,446,415,729,181,390,240,146,252,891,594,088,182,551,157,836,582,542,706,
254,128,788,526,157,409,669,722,118,887,848,257,279,329,041,508,476,027,773,
503,114,505,999,611,724,156,534,486,821,913,777,918,914,746,248,743,208,661,
355,792,507,510,550,000,840,304,336,202,136,771,886,975,693,146,546,255,415,
797,715,917,116,985,979,516,514,286,927,317,605,758,794,723,431,932,515,432,
592,413,132,826,947,278,351,700,882,431,013,637,139,063,341,003,423,695,974,
371,626,856,610,195,838,017,749,036,777,763,166,744,694,332,819,430,834,999,
771,891,861,875,682,201,147,777,450,966,176,350,699,884,909,302,660,495,775,
753,976,931,322,439,063,761,836,670,232,479,706,884,261,348,044,112,109,653,
770,247,200,754,813,519,338,562,089,548,831,338,546,318,433,066,627,939,668,
937,405,811,903,615,902,408,114,768,023,991,211,164,319,336,234,660,203,654,
577,437,347,292,285,537,643,781,499,379,466,959,447,987,062,345,046,136,130,
219,246,356,446,627,735,112,375,674,285,370,973,151,563,678,117,841,221,666,
437,407,995,029,201,458,918,704,299,614,501,367,189,233,171,486,202,330,613,
887,641,504,168,670,328,118,092,717,777,468,820,174,874,250,355,713,327,982,
770,647,858,747,115,533,077,607,674,840,164,221,447,961,271,223,125,560,915,
976,721,196,807,322,297,678,219,895,372,086,595,534,362,080,341,197,245,088,
501,926,372,008,993,078,254,931,258,938,722,715,551,641,043,607,968,532,695,
264,563,216,105,940,500,065,609,602,587,124,376,816,295,913,480,026,822,700,
028,730,913,864,987,198,016,203,477,944,362,353,581,109,528,693,176,446,436,
237,220,333,029,692,301,283,201,802,392,978,437,708,480,793,621,649,080,950,
851,002,398,987,788,649,955,645,910,742,020,850,274,948,067,831,282,973,632,
990,156,623,002,408,371,603,750,300,239,489,970,584,599,957,516,962,459,716,
087,221,763,073,864,418,032,295,441,424,975,215,385,138,559,306,796,089,540,
808,622,451,359,778,649,036,413,361,232,762,577,517,962,113,451,932,285,642,
281,448,569,318,609,434,624,795,588,638,854,480,763,004,285,504,847,514,859,
445,178,088,098,477,860,079,087,223,659,936,473,308,796,771,756,879,987,520,
972,496,664,230,594,482,807,877,750,350,044,200,124,890,507,423,811,708,940,
600,288,651,207,730,681,619,045,709,303,877,108,307,512,708,010,953,207,387,
425,158,508,175,102,239,885,016,682,334,574,305,953,294,483,869,963,331,483,
286,066,132,958,327,936,077,676,564,809,608,945,243,145,698,828,088,186,563,
979,216,600,807,658,511,406,059,239,212,138,769,241,023,639,608,444,575,018,
781,302,924,326,527,394,504,940,404,569,757,607,009,219,137,412,062,171,865,
096,988,079,528,281,939,170,883,170,881,488,854,626,330,329,246,222,352,934,
370,094,269,321,295,303,632,845,390,931,645,410,116,122,324,344,312,361,278,
405,629,048,284,091,334,490,034,067,556,477,268,758,193,548,185,711,644,114,
518,086,474,913,503,235,171,690,126,918,366,660,718,788,165,081,582,177,738,
103,202,433,150,382,720,792,250,891,745,706,830,699,147,815,193,411,304,371,
503,195,408,742,375,032,818,798,620,909,449,305,396,164,848,451,968,283,394,
507,102,599,660,904,704,656,648,808,215,177,864,856,299,526,636,438,098,096,
768,103,104,657,413,247,882,655,266,910,059,989,189,429,341,380,105,988,803,
411,317,178,352,677,032,910,823,524,418,414,906,390,935,735,196,039,632,073,
194,891,880,557,441,652,971,673,907,673,630,487,001,537,398,829,491,761,271,
182,254,585,669,458,854,298,690,123,999,679,969,094,826,869,813,409,014,807,
870,209,472,880,757,075,659,789,129,746,057,228,703,715,597,318,498,431,488,
666,245,497,591,429,646,375,039,627,335,230,921,463,468,372,763,286,250,152,
223,148,647,652,708,235,312,572,917,823,922,245,912,758,805,350,264,087,740,
044,500,584,676,969,191,037,382,724,110,174,213,309,194,119,671,886,632,806,
125,015,900,862,157,407,943,437,210,779,576,469,652,408,007,624,536,701,111,
120,914,746,044,082,819,546,223,821,226,813,031,194,897,071,098,867,562,099,
990,869,113,770,309,008,557,580,689,087,572,573,175,588,205,166,555,393,788,
405,824,123,690,398,652,325,697,887,413,887,595,445,316,196,622,014,308,620,
717,037,963,664,301,843,385,902,827,436,655,396,921,221,422,636,296,465,643,
569,138,431,908,069,596,705,459,590,178,564,463,858,688,916,957,119,504,152,
111,520,892,821,851,018,126,678,185,444,614,290,657,617,696,451,335,501,390,
029,607,855,332,813,572,599,205,304,731,453,907,856,943,731,186,328,788,557,
900,087,688,960,010,073,056,729,832,090,352,170,746,720,533,039,295,572,141,
730,308,456,961,712,272,526,593,678,547,634,948,439,504,243,550,992,061,763,
890,623,486,451,253,161,249,103,129,605,345,233,639,733,665,244,828,902,900,
344,522,278,115,149,686,236,441,471,919,804,519,548,866,578,024,282,778,667,
349,121,308,719,895,585,904,941,560,965,285,262,616,705,039,601,389,761,626,
711,355,332,817,616,503,258,441,038,452,173,182,317,073,833,674,986,730,298,
639,961,870,855,264,313,724,635,377,289,497,074,388,144,852,157,547,463,314,
498,855,221,139,379,383,259,810,623,892,313,130,585,951,531,265,625,637,140,
521,251,923,212,622,186,941,637,146,461,275,116,604,621,485,982,027,899,675,
357,619,015,440,796,498,201,581,967,545,704,337,155,940,567,294,391,582,327,
232,563,676,121,205,985,094,636,834,479,505,756,374,850,247,584,505,935,724,
732,264,503,136,926,641,005,085,586,082,829,801,673,057,820,863,950,555,155,
043,446,592,132,136,457,196,489,966,679,359,096,979,735,266,544,827,646,051,
460,930,315,271,004,676,270,183,180,877,242,391,752,557,907,707,156,366,706,
682,141,566,534,732,444,947,330,321,161,292,644,866,262,585,831,225,977,779,
080,661,628,055,784,594,884,451,989,078,039,321,272,637,765,831,867,799,937,
768,019,409,090,624,128,552,427,550,435,955,932,956,367,647,788,377,467,465,
588,379,164,247,701,158,489,353,320,762,936,360,671,493,557,529,111,192,835,
543,785,703,968,871,229,940,743,529,236,555,178,452,855,706,431,304,298,234,
890,505,387,000,280,303,730,631,582,098,077,285,362,758,130,152,320,902,983,
278,264,991,661,358,785,056,561,868,722,664,916,731,296,159,078,579,230,094,
507,083,717,348,762,108,429,061,149,550,327,643,825,852,042,924,909,907,521,
584,886,212,179,588,230,606,651,671,306,053,844,202,638,660,423,725,702,077,
563,891,994,660,090,637,852,704,067,286,665,859,200,386,077,426,810,279,256,
420,614,440,874,246,227,247,660,800,415,221,434,199,777,569,167,406,715,839,
846,968,562,351,992,707,889,592,314,357,183,470,515,032,936,556,743,625,324,
118,336,783,459,170,008,302,364,950,738,602,629,555,949,186,166,617,808,585,
217,067,659,718,772,135,565,627,790,700,760,333,865,801,406,858,537,451,038,
532,100,282,177,146,792,096,385,655,198,022,643,360,792,581,168,250,798,311,
796,782,337,770,182,629,016,419,003,016,331,380,245,918,661,356,264,345,167,
243,236,055,524,147,865,044,620,599,841,526,731,601,043,259,774,118,937,407,
124,735,750,233,121,552,006,468,830,125,908,411,286,217,972,944,364,624,457,
808,148,599,383,208,460,424,586,871,395,205,788,299,345,828,850,553,127,669,
005,818,703,648,563,897,267,744,262,547,566,103,847,460,759,018,809,171,669,
783,000,264,372,869,833,656,591,198,324,308,714,529,742,186,603,625,207,001,
411,238,825,656,935,765,005,174,917,213,023,301,282,549,777,790,164,162,088,
200,134,697,537,885,910,363,751,832,855,751,219,600,389,131,700,228,452,029,
054,454,636,641,214,276,330,055,638,747,508,160,596,912,645,098,458,160,812,
838,050,173,129,680,380,828,960,895,476,288,639,788,255,108,368,121,152,046,
394,885,135,307,955,508,196,521,567,592,152,632,140,545,324,337,311,470,570,
350,329,405,183,313,511,161,982,333,276,506,767,990,327,277,444,392,368,243,
890,035,428,573,363,665,824,542,785,604,555,397,131,448,836,346,483,982,123,
395,864,671,190,669,297,006,650,662,525,815,188,727,452,448,521,373,422,854,
277,259,088,518,768,575,192,143,139,955,393,369,165,548,546,465,695,454,517,
020,028,740,078,309,327,101,517,912,730,478,418,898,319,698,338,054,185,864,
988,395,460,592,526,079,893,336,461,746,015,353,986,984,173,998,803,402,291,
217,525,834,705,664,946,975,381,623,536,239,807,154,029,431,797,826,998,032,
603,548,921,139,716,190,373,085,817,754,237,934,895,605,931,499,723,937,539,
466,891,034,655,643,395,661,379,960,197,566,734,903,808,342,126,202,189,845,
075,927,049,693,511,432,475,897,044,438,346,844,543,012,083,160,242,877,967,
938,046,275,719,638,715,807,553,677,279,164,862,834,392,475,064,115,955,225,
225,645,573,361,081,813,310,410,209,131,250,999,042,734,931,924,203,479,693,
824,193,478,178,273,420,528,327,916,868,680,329,216,941,020,734,945,300,611,
466,324,372,651,862,024,411,369,425,349,279,477,527,564,636,816,854,304,811,
597,581,705,231,648,915,164,521,848,667,345,285,844,114,364,579,331,735,125,
266,318,603,012,472,264,448,892,639,582,541,866,176,983,874,325,030,126,320,
402,009,920,929,199,530,807,252,392,096,288,451,052,016,287,029,412,988,637,
741,853,346,922,283,909,350,256,550,522,149,445,636,537,151,548,571,892,684,
230,940,696,105,406,979,429,499,853,627,523,267,260,781,779,264,823,175,488,
235,989,095,324,116,284,752,315,784,598,564,095,232,911,995,431,624,989,967,
334,017,852,166,502,865,429,272,733,006,782,637,171,041,653,671,240,799,173,
108,329,252,955,328,406,659,046,819,965,371,509,595,713,554,833,745,602,666,
547,550,403,969,176,195,758,148,913,524,404,334,455,290,897,940,834,160,362,
442,221,727,106,926,029,717,943,959,798,080,312,517,927,574,324,540,507,720,
332,501,068,162,376,966,532,963,993,114,837,034,531,555,888,726,844,739,116,
704,551,197,604,316,331,185,578,760,094,023,754,555,935,593,254,847,119,454,
607,790,204,710,246,706,514,621,729,775,096,808,961,531,646,588,023,200,685,
182,603,126,159,553,867,776,673,130,156,826,603,561,845,838,227,189,240,402,
686,655,199,701,325,221,764,909,772,234,099,251,047,816,108,138,390,296,966,
425,955,669,259,467,700,638,912,022,070,871,337,358,069,976,467,924,524,676,
701,493,359,974,997,782,575,394,137,826,108,196,385,872,836,040,895,950,768,
023,879,028,612,470,246,751,056,614,186,221,084,198,740,010,159,448,460,982,
254,170,428,395,457,990,357,192,170,781,913,232,252,596,680,932,891,892,924,
593,428,898,779,359,571,798,580,157,323,823,363,189,200,609,699,018,483,497,
790,309,514,901,626,998,262,847,981,839,138,832,022,326,655,239,858,152,640,
506,253,710,864,461,180,948,900,263,395,688,541,733,392,289,471,568,583,258,
444,920,266,208,623,799,917,855,378,851,488,979,290,252,020,124,202,624,073,
380,030,086,099,829,214,959,013,012,103,661,780,366,922,494,530,666,535,584,
196,833,110,131,889,752,834,162,225,956,691,666,620,782,641,138,011,725,273,
330,307,874,592,836,013,064,212,912,049,876,011,354,746,142,852,765,703,289,
300,838,036,687,250,170,562,288,443,362,288,050,947,161,313,151,777,610,479,
606,839,626,605,188,817,265,895,522,958,157,123,824,571,704,006,020,851,817,
111,303,912,147,317,668,506,034,092,445,771,269,796,654,210,335,462,414,238,
498,021,547,899,755,564,558,783,159,187,945,998,703,187,420,513,189,722,601,
162,828,229,967,655,055,459,495,957,659,170,848,148,291,250,902,018,333,426,
645,873,256,830,747,244,460,950,130,938,883,088,556,053,768,915,495,156,580,
701,424,521,313,389,401,526,390,218,630,320,175,912,013,705,611,097,056,095,
053,149,326,827,986,241,122,168,081,732,588,363,377,728,590,187,056,249,804,
962,002,310,113,131,105,102,805,907,872,251,619,644,418,081,465,479,921,716,
650,239,846,304,585,121,473,638,611,070,444,991,369,167,446,385,883,247,774,
363,922,985,249,829,409,972,797,015,910,221,945,956,584,144,744,603,387,836,
292,890,948,562,464,385,834,165,164,219,614,740,590,606,393,864,644,072,993,
312,503,060,687,224,476,439,956,549,378,460,680,064,485,723,421,943,353,726,
630,918,967,275,062,941,611,380,042,701,353,123,104,098,626,421,232,830,367,
231,118,990,896,262,046,446,698,712,945,662,013,727,463,611,810,183,999,373,
763,893,497,933,553,365,881,535,507,185,207,983,271,051,689,708,477,171,283,
915,270,167,388,303,110,027,903,273,209,698,572,670,669,134,164,318,883,221,
842,921,283,398,386,776,989,610,664,309,601,600,995,608,601,227,149,191,826,
107,541,360,680,954,854,261,084,204,536,166,866,134,844,982,154,611,522,717,
479,257,460,058,258,014,168,674,837,929,693,075,256,144,762,007,549,656,942,
283,133,169,569,030,682,137,398,359,674,293,804,054,543,323,986,182,050,972,
901,208,466,565,172,725,635,863,063,219,144,494,148,622,222,179,178,979,499,
027,971,539,329,134,439,059,800,345,222,191,621,565,556,341,108,648,385,425,
068,959,661,745,401,860,201,447,968,206,834,400,671,771,392,613,698,550,418,
078,410,289,100,679,767,340,654,201,294,325,415,289,479,234,226,044,106,252,
258,918,984,563,829,382,311,017,830,295,632,992,817,622,985,889,618,523,898,
861,278,987,468,397,625,247,626,614,885,559,677,045,309,902,985,493,522,347,
676,357,371,325,499,608,662,239,067,212,498,595,202,826,167,265,665,349,174,
966,449,362,393,570,204,253,042,725,433,307,950,871,312,358,449,035,193,070,
528,105,980,443,028,996,375,450,578,695,499,234,115,393,171,046,040,512,065,
672,094,763,798,679,376,887,636,972,725,207,404,267,337,371,230,567,247,678,
835,675,099,910,480,664,791,735,173,282,991,644,817,218,073,042,807,568,584,
183,382,379,880,635,883,888,244,823,626,308,037,616,043,758,256,995,021,488,
881,229,680,479,328,346,068,080,230,439,073,699,578,948,515,541,932,873,759,
168,740,102,085,359,614,343,100,881,090,091,232,316,885,945,918,824,571,436,
745,050,430,337,849,237,865,599,196,035,396,947,658,994,379,479,859,066,038,
580,816,145,131,476,303,424,826,905,915,137,612,861,878,466,617,762,756,816,
481,665,645,027,562,048,687,487,162,698,654,044,706,825,121,094,317,542,974,
484,996,544,307,027,342,803,352,179,361,640,010,113,710,750,638,104,130,412,
240,414,360,429,739,362,267,021,603,753,936,999,027,405,678,038,747,291,430,
431,763,513,765,036,963,604,401,606,917,446,641,434,386,200,020,142,732,893,
401,529,589,851,841,058,732,318,763,998,278,780,035,423,934,190,655,592,144,
723,073,138,634,802,680,565,408,502,917,178,900,306,505,287,316,583,719,312,
304,059,370,622,421,525,148,651,421,106,974,407,266,625,444,064,848,986,392,
683,925,241,175,447,286,991,197,882,931,534,500,732,021,609,323,155,733,864,
947,568,053,952,495,688,966,506,781,782,890,052,907,464,490,544,560,736,622,
735,382,966,532,960,150,881,858,406,819,422,323,386,861,776,627,005,114,704,
238,655,896,435,762,114,830,948,356,141,548,863,180,939,887,065,655,786,565,
816,683,672,505,296,619,035,317,640,339,975,805,573,032,630,832,052,562,551,
502,215,439,365,902,441,922,546,698,776,407,241,993,595,456,590,744,152,950,
812,055,716,561,135,384,816,199,035,275,462,747,034,665,011,965,654,512,026,
293,005,420,310,431,485,520,999,418,034,877,476,471,994,135,599,327,585,169,
427,648,349,707,610,058,903,782,021,181,282,060,501,000,417,806,004,608,293,
424,305,114,010,698,373,825,686,926,858,795,011,500,451,937,372,242,737,892,
003,514,858,376,742,607,921,361,166,269,251,289,509,638,113,264,276,619,451,
911,745,423,864,003,254,453,435,152,842,025,819,177,494,597,613,949,124,643,
618,150,799,987,326,237,899,832,130,653,905,455,855,907,111,178,409,664,896,
484,586,282,146,487,285,672,584,863,562,881,116,095,531,264,902,819,670,441,
923,023,844,549,973,705,070,270,967,404,375,922,854,376,962,166,800,722,695,
936,124,066,029,113,726,836,894,282,347,480,876,832,088,421,400,895,739,837,
681,986,111,031,923,584,535,811,057,903,788,797,595,555,868,771,490,139,373,
301,859,044,291,848,316,213,576,559,051,974,979,905,987,031,159,263,140,486,
363,201,933,246,782,123,310,151,634,690,952,318,771,801,846,664,890,291,899,
428,577,095,671,234,750,680,732,024,680,233,577,848,951,806,051,451,147,311,
732,528,273,624,231,127,889,070,690,539,701,810,605,065,786,339,312,960,419,
587,037,854,017,322,369,732,034,220,163,222,081,253,878,182,392,367,558,291,
997,491,130,640,961,635,297,959,117,217,111,317,661,586,756,101,790,637,821,
323,776,285,170,352,411,816,509,025,387,658,362,079,971,019,750,401,012,282,
613,711,987,084,386,931,830,676,769,048,425,137,987,971,179,395,765,312,703,
530,346,490,599,577,434,965,595,136,037,610,385,739,520,260,343,786,213,138,
558,033,183,534,763,662,339,811,209,109,692,041,558,877,513,999,540,589,681,
526,515,714,234,898,020,643,761,692,850,637,412,611,866,456,764,289,157,774,
672,591,632,727,197,720,245,174,465,778,657,348,821,245,579,702,545,494,331,
557,731,686,923,899,793,623,814,751,767,419,287,587,757,575,548,097,175,258,
472,487,487,632,874,100,825,780,754,995,769,053,905,724,283,135,226,551,463,
497,002,597,509,712,872,347,965,008,787,866,400,902,721,358,324,075,263,828,
947,205,999,218,035,864,956,863,688,201,161,652,804,526,857,970,325,014,142,
256,700,934,044,131,318,490,703,485,629,719,225,851,220,329,251,313,186,488,
044,828,308,141,341,753,876,632,962,569,961,220,489,148,416,459,688,732,156,
540,678,085,260,415,075,063,041,316,861,004,496,515,546,195,551,518,250,607,
288,590,947,808,664,018,177,130,458,249,269,010,526,980,125,056,707,273,781,
630,396,922,489,279,443,957,484,363,359,237,743,735,113,736,457,780,476,306,
916,454,600,503,439,702,402,853,816,960,989,255,032,843,110,320,678,260,081,
966,429,721,421,985,017,553,720,680,364,095,180,683,662,689,313,328,485,436,
989,690,049,766,934,672,387,645,438,786,356,459,818,642,944,033,937,298,926,
910,523,238,181,047,296,581,740,203,267,775,376,890,938,957,172,312,561,704,
790,679,814,284,572,456,139,610,795,651,173,070,443,999,216,633,442,114,607,
572,702,649,002,579,039,544,801,106,617,836,008,058,555,651,051,173,604,448,
859,673,414,742,286,473,596,234,941,786,816,046,177,831,394,354,031,883,575,
986,796,366,011,003,789,991,424,231,965,889,773,228,877,538,999,250,809,983,
886,603,411,541,793,796,289,000,910,726,502,055,355,521,086,059,668,533,020,
345,429,289,450,350,628,033,122,794,370,493,295,854,727,537,414,169,034,091,
238,256,985,758,058,975,936,169,357,720,900,008,314,719,956,262,291,204,696,
471,161,960,565,475,491,358,678,493,783,824,774,016,967,968,183,330,309,421,
950,382,986,429,582,941,932,877,763,118,184,181,090,590,116,437,293,880,375,
822,616,304,517,365,972,432,421,673,888,549,917,213,145,234,000,645,624,570,
533,871,289,204,246,981,871,208,186,112,301,023,930,003,889,431,495,053,916,
056,100,311,042,442,894,219,990,569,248,567,602,882,707,675,432,772,929,727,
470,812,235,156,764,394,010,135,071,500,351,001,784,259,241,069,874,654,080,
505,381,447,865,764,610,947,824,562,560,223,266,096,737,450,685,136,892,542,
699,040,145,786,626,672,286,857,715,136,423,960,209,602,497,846,464,177,519,
852,758,564,816,658,892,328,413,586,073,358,270,652,498,901,366,795,132,243,
951,995,108,047,558,434,078,833,740,102,370,822,736,850,715,705,212,077,530,
323,586,984,441,130,907,333,334,613,984,631,512,788,821,575,052,030,864,539,
283,238,432,552,527,330,790,880,559,000,733,434,254,010,141,121,336,795,763,
225,065,914,403,521,568,070,891,256,546,531,541,696,377,307,925,094,887,463,
072,436,261,669,693,222,430,700,634,926,056,534,039,426,431,134,236,641,851,
489,340,135,735,557,607,181,876,522,433,612,839,366,020,764,234,913,505,154,
691,071,791,887,186,507,821,362,689,301,727,005,752,242,182,473,725,421,535,
518,648,255,643,430,831,652,412,830,837,527,971,068,579,462,994,078,973,122,
268,626,862,332,543,216,673,383,258,047,933,165,723,001,421,251,666,391,476,
620,528,480,574,452,610,015,526,674,069,148,244,686,473,940,059,693,650,170,
219,353,402,153,115,357,812,269,480,483,142,553,341,557,272,383,090,865,803,
288,329,246,079,849,687,045,523,517,071,518,353,592,217,187,504,389,275,715,
175,284,449,852,853,250,548,575,099,181,659,260,459,066,751,099,317,834,280,
219,798,161,296,894,706,289,839,843,361,456,555,220,272,919,969,912,422,661,
276,065,346,528,474,811,488,457,794,965,330,075,994,646,869,484,542,869,602,
896,983,210,004,694,815,621,769,892,765,562,840,518,255,853,507,888,584,967,
848,165,030,209,016,781,517,467,420,743,219,771,591,821,332,564,687,888,387,
223,055,562,686,478,939,259,183,385,989,919,740,694,546,664,174,732,466,982,
404,470,138,547,290,287,810,972,429,576,445,741,987,259,425,865,079,799,776,
810,911,709,110,693,790,762,605,631,302,727,138,114,316,463,348,148,233,950,
816,137,181,986,165,989,970,304,658,096,145,261,455,994,236,937,586,917,041,
232,544,992,946,002,003,054,473,918,692,417,477,828,796,781,945,199,049,265,
137,636,964,048,877,421,277,311,351,509,081,332,001,714,371,456,979,235,794,
494,211,333,746,005,098,650,912,727,710,682,273,366,710,962,650,541,925,468,
171,441,822,981,890,430,081,416,886,103,941,753,917,671,809,214,485,254,802,
297,027,588,390,331,525,013,481,833,016,139,155,244,282,587,397,071,489,411,
342,716,763,330,563,062,615,175,058,848,155,637,019,747,185,365,153,292,750,
801,316,502,578,543,914,438,493,637,078,362,117,568,456,930,084,846,512,255,
435,446,066,754,837,915,146,760,568,120,390,108,428,423,064,916,288,250,602,
213,015,685,234,555,473,286,241,537,793,981,716,376,012,061,471,444,334,151,
605,088,744,366,650,552,543,732,536,081,838,057,525,683,265,823,859,321,453,
704,535,858,178,101,975,599,530,173,347,129,140,967,286,120,765,666,093,113,
827,793,233,634,181,252,117,762,465,788,620,339,941,309,399,679,472,506,356,
341,264,793,739,276,162,128,711,492,693,965,945,542,093,176,231,377,448,885,
580,222,008,732,886,556,686,955,609,130,503,576,208,405,224,082,714,526,535,
132,397,441,666,839,498,061,093,466,770,137,264,957,862,732,598,764,585,094,
546,235,368,680,001,187,699,781,986,738,758,107,420,887,518,569,253,842,406,
933,570,459,190,200,940,441,215,379,307,834,818,456,299,439,840,823,389,805,
874,928,310,784,977,750,136,815,023,209,751,830,561,359,044,885,306,347,256,
363,650,517,129,333,979,779,397,785,445,759,231,659,844,510,980,394,601,409,
117,865,154,715,499,315,022,900,761,083,759,630,336,854,972,792,806,305,525,
151,597,974,216,043,814,410,879,764,152,389,209,075,789,727,019,392,444,378,
338,107,882,843,383,062,841,930,711,478,463,265,801,196,995,892,565,017,157,
953,920,753,128,321,795,905,938,139,365,089,924,236,002,197,506,705,487,605,
617,615,763,377,988,378,653,796,048,190,684,840,392,204,199,853,842,668,675,
445,878,952,807,455,977,134,891,335,134,189,211,362,718,921,638,154,188,426,
212,000,738,143,990,223,336,207,146,517,954,660,164,411,961,602,225,356,388,
726,529,489,587,373,180,092,846,940,126,548,260,071,070,391,785,947,585,165,
070,025,510,144,977,868,298,455,680,831,344,631,701,790,846,162,578,821,622,
236,470,605,820,903,021,979,948,474,721,403,315,911,240,027,084,456,450,298,
584,263,592,640,910,162,022,475,711,433,004,501,399,194,872,658,336,712,175,
113,055,997,084,083,705,397,530,074,906,653,075,484,746,565,395,747,185,435,
242,005,351,566,481,883,757,590,592,715,984,212,096,374,620,818,596,277,021,
775,256,625,597,685,804,977,934,712,849,613,313,451,806,016,970,929,388,346,
599,399,574,240,959,416,280,299,991,326,739,287,710,546,766,595,825,381,970,
622,498,001,222,110,800,990,307,447,898,692,204,727,883,390,282,516,210,221,
269,576,313,592,755,079,498,447,570,740,263,965,447,894,021,549,217,621,318,
396,439,189,152,065,251,647,438,074,983,727,879,145,131,403,823,778,702,495,
227,156,572,761,058,130,474,254,128,823,037,558,639,115,664,588,203,442,020,
922,946,524,252,329,143,660,944,826,429,125,399,068,728,980,366,880,633,226,
138,512,994,895,208,651,753,888,219,133,244,993,994,231,957,759,763,275,244,
894,399,454,766,951,974,267,246,848,479,747,399,828,089,194,540,578,430,392,
064,422,719,646,983,664,004,582,552,246,006,929,705,011,268,956,954,538,324,
456,431,402,644,476,991,681,060,254,534,700,835,982,915,063,755,786,500,143,
058,071,544,724,260,913,665,028,842,592,098,162,940,063,975,874,761,579,923,
010,146,596,678,698,178,024,435,341,855,413,189,075,315,336,764,300,928,491,
787,437,151,592,696,826,769,083,401,348,549,012,233,233,753,788,770,442,474,
721,184,525,137,058,616,590,490,112,597,260,108,311,523,822,955,488,801,362,
166,206,014,038,428,798,116,136,796,342,515,935,033,862,952,170,813,440,460,
035,556,976,448,937,248,336,053,781,296,975,387,233,129,375,646,815,616,494,
784,652,560,799,070,438,012,322,884,095,005,510,856,482,508,739,545,702,593,
220,907,615,508,858,483,695,304,923,185,523,440,706,398,628,863,307,112,828,
368,956,846,970,364,318,347,673,980,236,589,737,522,203,292,181,398,908,522,
076,074,917,916,004,623,388,120,740,186,073,910,083,254,283,140,700,481,507,
865,334,895,783,298,650,080,668,713,200,627,134,784,905,887,988,095,819,210,
371,630,485,914,852,569,801,229,037,229,564,622,596,680,178,457,852,839,682,
597,402,405,022,346,532,718,637,747,809,979,254,816,549,898,516,402,479,266,
996,110,636,286,377,749,743,207,400,635,324,354,365,029,625,758,767,189,180,
230,947,422,060,265,298,287,638,507,009,518,936,330,465,867,086,526,895,908,
124,149,984,768,330,600,993,810,819,451,099,253,228,246,976,174,833,663,117,
487,593,367,724,293,896,979,598,829,225,566,595,323,404,390,459,796,036,117,
615,213,939,758,343,467,796,234,109,896,071,648,064,415,206,978,656,656,463,
637,058,859,116,570,469,547,820,260,202,707,380,153,623,924,912,179,792,897,
322,895,474,293,913,492,942,926,671,635,599,136,363,496,147,495,412,494,752,
070,469,210,662,146,453,552,818,627,246,992,667,171,936,769,076,223,259,022,
442,258,757,323,010,833,689,077,944,100,015,717,730,169,519,450,138,927,854,
269,348,279,779,660,342,224,656,909,966,558,258,295,203,368,409,529,033,915,
801,305,069,488,118,860,976,207,245,210,423,354,116,872,197,115,308,957,984,
954,445,567,405,867,548,139,728,515,290,544,625,034,149,294,423,236,559,374,
000,829,853,783,594,120,329,896,407,242,163,284,883,521,485,918,939,958,122,
747,857,851,565,432,207,054,843,372,184,761,367,615,373,792,323,300,248,136,
030,763,767,891,423,607,653,149,235,598,309,400,146,658,012,028,260,545,130,
769,951,942,857,510,963,646,045,482,704,449,352,550,211,061,716,012,933,656,
612,859,171,195,241,313,007,153,915,194,220,656,272,511,051,038,261,456,907,
110,551,940,330,428,539,838,274,591,640,903,180,004,325,614,728,542,122,574,
604,671,136,116,804,227,936,291,858,491,025,437,025,581,375,598,507,285,067,
692,760,472,347,564,935,228,118,908,865,241,709,848,415,973,418,666,842,161,
987,185,526,070,920,382,669,428,435,836,255,700,388,610,875,940,109,161,137,
785,350,333,964,260,815,941,340,009,350,477,695,136,923,867,327,463,192,860,
445,261,425,323,494,508,938,235,615,037,217,139,382,026,046,234,943,296,105,
027,335,696,824,471,433,335,644,043,771,948,261,048,153,071,973,664,990,878,
023,761,672,288,867,833,694,407,669,551,602,598,574,315,114,312,794,408,960,
430,663,688,749,567,621,520,512,832,550,662,437,432,993,562,729,185,166,280,
145,422,985,819,207,564,686,230,533,701,256,668,319,711,748,960,830,802,628,
414,039,221,806,984,729,740,706,605,413,208,389,550,786,402,123,627,410,092,
208,631,839,353,925,724,212,892,463,832,206,608,261,085,866,240,050,033,570,
970,762,902,513,420,064,414,635,602,736,901,307,146,141,556,726,392,145,266,
539,660,949,300,865,340,306,913,770,468,571,673,627,166,584,499,444,512,787,
331,364,743,911,553,945,307,457,475,822,192,196,522,577,745,793,405,523,621,
616,143,455,349,186,716,712,669,069,986,692,122,003,579,947,324,119,326,888,
838,336,434,435,542,575,935,436,220,176,516,097,982,670,784,131,220,219,555,
421,665,735,407,975,457,394,360,107,360,598,357,226,661,762,253,750,967,854,
312,097,447,665,769,935,168,816,147,227,255,498,263,681,000,243,130,202,816,
160,228,438,758,316,777,989,662,790,961,560,327,177,371,007,664,794,767,029,
840,140,821,776,168,402,587,512,955,086,409,590,819,822,280,336,322,956,204,
719,400,999,797,737,471,826,540,877,447,133,005,778,009,543,955,199,062,490,
914,273,321,779,694,657,669,912,979,322,901,077,013,843,382,228,622,834,976,
301,719,514,150,346,679,500,012,488,457,021,527,530,699,006,232,289,793,243,
756,036,722,421,513,868,469,067,467,136,937,026,204,150,954,988,704,818,963,
023,585,036,203,588,812,795,476,335,478,481,652,738,222,705,743,827,195,308,
676,366,010,057,613,939,377,945,491,755,763,102,717,764,285,785,630,832,502,
568,009,641,145,436,899,636,728,873,842,425,939,299,550,584,712,145,271,176,
146,957,976,914,956,320,686,954,555,927,384,206,789,401,735,012,407,185,781,
106,601,597,055,678,303,869,110,466,960,057,638,611,654,052,591,260,246,082,
249,895,054,985,412,162,916,013,009,516,779,722,545,797,503,963,318,982,076,
855,974,176,671,475,375,892,494,627,213,958,339,540,993,404,984,100,647,116,
538,206,056,295,735,131,920,066,654,685,776,025,492,659,829,009,469,828,852,
097,482,221,720,451,439,134,448,005,156,953,307,575,757,452,297,496,222,449,
806,487,990,665,805,258,451,946,138,597,691,493,916,603,931,390,210,968,916,
031,961,110,061,012,344,413,568,923,623,451,699,651,094,992,930,002,320,910,
744,509,443,204,394,013,174,303,866,802,946,254,538,436,258,113,994,871,146,
821,541,757,186,283,169,356,856,827,312,854,579,603,157,431,124,902,767,904,
966,760,739,684,738,103,107,911,951,221,543,742,524,164,265,553,601,099,348,
585,262,006,689,476,025,060,173,137,765,463,076,095,898,995,886,043,518,775,
038,916,251,349,171,982,339,192,405,836,835,089,927,701,408,035,014,543,677,
681,689,771,319,225,206,633,519,768,794,155,386,027,960,225,729,431,108,182,
553,896,352,686,931,343,781,379,968,521,839,297,321,223,666,213,761,454,764,
712,374,597,114,316,174,965,637,875,975,645,620,499,176,957,357,746,028,291,
459,032,880,133,668,071,867,739,201,597,275,483,382,530,545,228,439,739,092,
594,389,962,453,532,029,200,549,548,039,311,462,150,459,711,454,825,436,981,
819,840,090,576,726,223,792,884,641,863,643,288,387,284,290,896,734,881,829,
317,326,839,623,436,567,264,061,757,645,626,228,904,094,266,373,999,268,181,
535,827,921,078,954,422,563,427,976,160,591,488,013,416,663,817,018,952,477,
174,494,059,877,527,643,635,643,285,845,591,948,043,828,502,384,490,094,675,
671,561,355,590,490,934,867,050,641,935,330,642,898,732,950,451,922,489,041,
281,386,181,718,406,693,862,767,692,589,896,969,906,578,693,258,536,278,023,
777,553,080,068,257,113,135,427,653,369,929,855,031,055,871,355,415,033,893,
962,116,282,394,688,912,170,330,683,731,078,029,541,640,294,802,206,226,421,
306,007,231,033,237,469,245,056,210,171,372,164,427,782,054,374,823,964,389,
860,925,025,500,067,249,850,485,519,399,536,478,627,826,841,155,204,397,616,
984,146,799,426,890,827,768,430,083,460,851,920,084,294,410,120,688,010,263,
297,240,089,586,750,173,281,963,027,511,596,754,885,960,189,865,540,743,792,
478,832,785,333,181,753,461,103,307,265,805,985,275,838,805,105,078,931,177,
657,871,259,118,045,860,665,665,774,877,879,330,463,659,262,811,865,075,193,
502,987,900,997,366,093,181,081,152,741,828,158,304,378,659,833,778,763,281,
109,535,651,564,157,219,142,795,427,706,458,504,864,851,192,435,649,859,356,
672,734,917,513,119,201,478,124,886,780,644,473,671,669,712,265,833,839,337,
595,024,351,742,354,867,624,700,625,610,904,958,566,751,730,760,074,491,151,
727,955,418,060,664,109,985,452,189,615,772,085,603,293,174,694,754,225,552,
282,862,254,838,920,673,830,216,731,208,380,624,855,067,895,905,926,503,131,
224,865,704,863,896,294,246,694,564,469,432,503,773,794,328,985,255,014,801,
715,660,714,474,249,238,512,704,960,516,386,961,010,865,237,579,977,064,435,
622,679,635,433,076,366,331,195,458,909,009,199,156,661,305,460,251,119,534,
882,369,678,547,624,427,034,526,515,351,255,306,353,413,320,805,936,209,374,
816,727,764,617,099,932,000,349,610,543,719,766,209,100,828,802,351,828,672,
127,517,356,723,898,193,186,919,050,628,459,051,705,398,673,228,603,432,950,
331,481,534,224,416,294,087,806,361,482,509,247,524,634,865,833,475,980,608,
403,956,200,859,371,439,499,811,900,428,599,173,013,184,214,256,996,146,322,
487,507,798,382,455,987,611,962,600,650,852,762,234,762,642,888,683,846,016,
530,731,754,584,420,034,422,564,622,285,870,580,623,780,097,201,079,007,969,
997,811,378,296,482,710,957,988,873,978,652,965,851,353,632,571,259,567,105,
046,022,782,311,250,428,396,890,315,322,810,526,644,372,375,462,862,054,420,
292,082,355,936,124,057,511,113,820,434,852,165,567,644,373,763,139,961,573,
978,706,631,576,662,583,934,781,416,840,636,122,959,715,884,939,004,349,527,
476,940,565,009,812,165,538,870,350,143,265,670,526,318,382,987,488,430,214,
353,284,414,155,799,024,445,516,327,744,554,584,113,422,419,951,646,214,540,
841,754,216,392,297,424,559,461,653,007,718,579,828,313,109,527,803,924,931,
197,689,460,957,070,316,321,960,065,489,529,173,713,584,163,788,461,505,385,
937,422,396,890,353,105,340,738,355,128,301,369,078,439,938,329,474,635,573,
206,111,014,860,240,737,653,766,135,248,317,293,756,223,224,212,035,549,420,
771,920,076,570,079,829,017,178,197,462,477,426,802,712,267,901,558,205,971,
185,413,255,682,891,581,630,456,969,462,572,646,466,753,277,133,225,266,054,
035,839,374,606,033,703,623,486,473,868,299,078,404,640,363,828,868,587,198,
235,100,013,644,883,475,889,865,036,167,699,539,259,765,427,191,041,902,826,
573,351,959,005,536,037,618,066,594,845,333,406,342,496,730,366,054,778,185,
426,131,108,435,692,739,584,955,233,881,470,873,959,889,366,708,806,410,083,
668,117,002,241,930,018,451,383,039,195,733,833,772,951,834,914,851,600,522,
197,077,509,999,177,199,247,349,799,436,542,179,106,764,419,107,733,311,293,
765,327,080,891,675,348,559,629,443,883,617,097,663,528,965,943,567,562,429,
036,845,484,040,927,879,116,643,026,709,043,443,461,143,548,902,440,003,994,
946,130,148,190,570,262,889,027,751,492,104,136,330,793,324,866,322,611,035,
156,801,776,940,263,077,518,815,268,276,313,452,817,337,637,533,328,908,424,
358,904,338,887,755,875,244,312,393,391,953,307,025,782,337,811,909,220,399,
508,748,829,616,380,012,527,002,414,364,297,947,780,013,325,888,796,744,445,
988,061,112,456,507,780,817,952,267,295,451,100,568,612,854,431,347,753,425,
433,062,327,802,494,494,128,304,809,242,823,593,096,443,808,475,255,789,987,
420,933,361,589,189,140,089,555,325,565,506,346,140,726,395,923,310,706,333,
561,763,134,881,338,455,238,979,687,739,403,246,592,330,261,587,901,139,937,
949,032,987,777,897,169,272,301,099,267,605,551,936,271,294,798,596,744,052,
759,391,664,112,984,720,585,207,733,542,295,282,653,467,536,650,503,807,106,
849,879,141,698,259,085,352,282,450,248,470,769,219,023,930,261,692,818,770,
773,154,039,937,496,004,225,224,724,334,350,108,818,372,457,400,297,064,397,
798,561,733,365,762,761,272,960,804,181,481,469,974,755,412,129,217,313,677,
472,411,415,395,621,529,734,043,089,286,142,754,612,792,006,094,201,553,935,
225,499,749,229,624,521,444,210,329,050,476,909,503,446,698,195,136,326,847,
474,505,518,966,196,138,314,386,612,078,998,743,426,850,428,075,819,833,076,
009,019,489,678,647,818,782,518,830,906,598,625,099,713,946,054,664,911,426,
513,014,539,564,769,723,712,021,535,740,602,885,904,671,675,935,355,750,544,
825,954,171,521,526,799,530,847,261,123,809,316,865,261,295,288,886,985,589,
176,885,883,028,511,528,521,010,037,902,742,467,021,649,808,591,573,087,344,
453,141,065,825,018,156,303,904,678,094,317,743,133,115,185,760,260,061,467,
418,042,864,372,324,938,539,823,140,993,040,319,909,031,336,796,347,477,468,
061,509,872,564,346,158,751,564,477,354,194,815,303,607,828,974,886,798,025,
596,786,400,305,206,603,400,768,052,440,598,825,888,971,716,630,268,939,435,
495,253,608,718,213,586,427,176,719,324,079,431,122,824,683,542,966,867,640,
563,239,541,266,109,811,706,606,146,060,584,965,242,024,114,981,938,237,440,
944,818,141,549,752,207,954,263,728,360,909,064,660,062,324,242,826,420,893,
757,234,899,536,373,494,567,666,791,368,462,173,942,996,825,095,924,070,141,
298,991,293,196,484,264,480,647,782,348,570,463,558,796,743,353,978,243,043,
375,771,422,563,310,198,280,718,091,469,916,833,422,091,146,807,226,077,829,
466,202,633,891,572,173,719,864,207,481,687,485,197,078,045,074,381,535,980,
858,817,834,110,789,944,933,235,833,706,189,109,095,447,401,674,723,874,128,
617,665,322,337,062,084,490,792,970,595,845,957,023,602,804,482,714,110,822,
722,472,755,221,078,907,638,702,672,261,266,556,822,208,957,773,537,186,500,
729,952,259,449,353,358,320,647,138,871,524,559,510,467,218,377,526,148,874,
654,650,705,171,194,180,141,565,125,068,560,272,480,235,168,401,920,033,988,
264,920,123,017,552,706,074,925,439,722,683,399,098,784,332,851,450,080,656,
586,068,322,663,835,328,822,606,830,858,848,479,402,027,145,170,335,820,889,
252,500,807,143,232,653,095,022,413,458,535,099,117,085,216,690,602,738,601,
548,094,612,770,590,136,571,084,777,537,626,536,004,749,837,324,068,034,911,
792,782,804,558,038,788,100,548,399,828,422,729,099,619,115,953,498,434,192,
130,971,479,115,247,877,097,264,357,126,673,404,083,716,819,326,803,572,660,
990,576,348,616,949,906,949,743,294,249,241,919,986,304,651,793,669,037,165,
695,448,826,950,456,875,257,140,076,478,896,516,875,673,004,622,424,474,486,
740,038,681,244,243,453,460,192,732,381,906,762,441,061,895,213,340,782,834,
737,440,762,375,251,290,985,829,887,407,929,621,359,415,233,822,857,764,667,
124,630,369,238,427,833,034,300,588,151,550,906,671,980,293,075,174,617,248,
461,252,079,787,665,337,104,058,104,126,379,856,905,818,152,049,481,198,522,
565,524,247,259,891,056,464,188,178,627,406,443,887,776,934,047,321,742,597,
010,949,590,452,272,507,925,902,216,107,582,253,773,956,983,838,349,052,151,
372,231,104,150,664,522,766,676,809,303,096,124,822,723,552,543,426,135,236,
150,822,550,044,667,014,725,163,304,578,022,958,443,004,016,531,196,524,701,
616,818,141,818,491,460,319,846,055,632,493,674,386,604,140,026,482,016,620,
047,979,953,400,453,046,656,132,535,800,792,970,579,230,834,290,474,891,033,
354,705,548,688,706,885,420,765,121,480,918,933,555,427,360,521,149,238,913,
960,118,092,812,011,480,119,485,136,491,905,071,351,446,564,055,854,020,141,
674,391,806,851,684,703,556,183,697,365,899,143,303,056,273,363,883,917,143,
004,706,680,065,904,774,794,089,676,300,741,302,520,560,185,525,501,427,002,
364,917,558,290,655,389,005,487,974,065,439,068,255,210,404,780,378,845,812,
419,034,405,501,292,924,218,331,675,794,436,695,514,852,528,354,745,984,666,
544,798,667,504,971,117,187,206,718,112,727,254,841,247,916,582,994,190,804,
121,209,449,594,661,092,199,130,397,953,948,456,613,326,708,036,254,048,178,
758,195,978,265,316,253,087,808,998,049,844,422,107,212,767,681,247,445,761,
455,025,531,395,512,732,558,707,173,796,749,973,018,108,392,581,469,881,147,
848,907,603,342,743,964,755,075,034,065,174,859,457,032,086,729,286,390,794,
924,367,521,762,416,480,317,477,653,080,397,863,885,414,297,696,283,803,654,
198,737,946,557,795,197,275,215,099,533,962,400,926,023,622,188,439,323,149,
346,421,982,983,995,563,839,109,140,614,179,519,480,227,813,087,824,756,090,
277,770,588,132,853,018,072,028,743,502,761,770,448,840,545,209,516,280,525,
579,600,842,988,280,850,256,229,332,986,934,415,840,876,856,961,951,264,671,
062,987,005,766,336,061,575,026,211,573,814,825,255,116,718,582,106,011,807,
622,673,755,979,809,352,283,894,356,442,183,710,749,769,833,979,574,854,357,
049,534,516,538,014,754,360,086,389,840,748,761,214,925,973,738,561,370,244,
484,484,628,934,772,073,566,426,855,742,264,644,202,569,790,713,348,167,611,
382,574,990,545,015,447,327,001,090,613,930,309,678,334,636,819,181,696,030,
200,980,686,686,913,125,581,763,189,711,563,860,956,917,724,721,304,730,790,
738,601,898,275,806,777,747,926,756,381,995,244,526,550,494,409,752,364,608,
612,006,567,757,521,545,654,158,298,116,880,291,509,680,026,828,215,040,483,
743,698,107,627,795,043,968,917,113,215,406,071,458,575,572,614,456,674,429,
236,648,728,788,735,571,053,895,312,208,396,771,631,238,268,120,192,577,595,
920,886,260,100,404,516,930,435,423,706,055,361,027,752,717,740,241,912,225,
530,328,760,513,495,073,372,490,170,335,078,730,951,487,455,502,806,874,709,
436,814,134,138,204,207,481,419,238,950,470,232,289,280,954,244,976,327,159,
977,118,856,770,477,764,692,582,635,524,839,966,732,822,955,005,174,355,890,
523,611,654,146,124,600,581,568,556,116,194,548,297,818,942,574,215,171,479,
049,522,460,796,447,998,721,943,971,464,905,308,066,616,041,312,852,390,344,
749,436,494,720,419,441,487,427,421,352,929,488,722,602,121,350,759,238,695,
833,006,578,308,437,759,278,693,987,418,819,558,365,132,927,398,731,951,485,
463,600,533,686,707,758,603,909,373,535,569,821,299,950,599,232,318,128,049,
848,745,632,092,754,477,039,316,728,142,909,604,396,476,453,386,678,575,779,
427,084,265,466,173,363,201,419,393,352,255,237,321,442,721,896,755,338,411,
392,452,765,592,702,008,927,349,339,069,745,266,887,566,297,503,865,691,244,
965,998,941,225,086,843,688,247,545,599,770,596,249,906,166,310,236,892,692,
330,232,916,777,766,569,205,222,013,552,890,275,010,630,042,664,115,894,661,
506,640,413,460,304,268,901,900,182,427,033,649,244,895,607,152,339,820,671,
521,846,384,636,858,758,382,084,428,783,870,886,524,492,935,328,314,714,509,
728,413,547,095,780,638,464,402,688,989,150,070,745,587,909,770,329,672,605,
534,778,762,736,901,842,814,600,561,398,642,108,785,001,078,097,366,172,450,
607,403,304,365,252,528,008,836,900,372,283,693,989,115,442,844,142,176,889,
762,206,300,875,102,109,199,696,859,030,131,113,576,299,058,277,463,414,459,
837,884,762,156,666,537,668,453,264,170,829,674,450,772,958,512,136,832,086,
426,955,777,588,024,547,040,365,476,036,064,616,898,072,435,812,971,675,118,
566,727,815,070,747,632,390,292,925,525,080,109,042,710,345,219,100,396,107,
431,666,055,888,347,688,966,711,703,317,069,205,588,563,753,931,724,874,799,
861,194,405,967,715,498,679,602,597,691,125,383,430,746,487,125,918,028,716,
755,576,450,736,711,388,247,712,254,190,887,523,145,030,516,865,634,431,024,
914,632,196,700,951,683,407,655,107,976,103,403,955,833,223,285,561,467,679,
830,280,414,702,168,729,137,180,021,945,593,982,783,807,388,612,336,286,729,
085,768,381,096,957,506,515,474,768,187,238,853,308,648,376,594,438,636,314,
413,727,734,588,253,452,311,036,360,200,636,399,459,079,626,366,157,464,921,
106,429,129,661,905,126,300,414,873,792,068,116,790,441,737,997,656,542,203,
602,866,682,231,329,660,047,871,440,344,976,995,787,064,142,364,732,209,594,
629,128,196,807,772,429,239,461,977,550,721,178,752,171,184,421,093,073,060,
645,300,709,540,937,532,437,925,911,593,623,597,003,721,721,903,815,885,920,
443,903,035,197,273,148,803,306,194,849,123,406,689,697,447,229,466,991,251,
858,486,108,221,391,648,038,625,307,751,712,305,708,512,268,394,044,542,840,
901,795,297,569,746,879,573,373,234,614,026,114,189,453,458,663,121,096,301,
617,777,453,618,546,332,569,285,260,157,314,726,407,006,265,528,938,857,566,
311,407,519,650,793,825,732,028,239,089,967,533,509,172,630,727,415,081,751,
356,529,077,590,503,503,936,417,224,714,243,476,611,499,637,954,128,640,944,
546,524,668,469,010,897,588,018,854,909,525,566,702,857,895,427,977,907,599,
384,777,189,825,563,448,394,490,080,407,719,356,213,072,947,557,727,409,107,
301,949,437,069,678,017,066,745,090,372,810,859,686,955,331,839,014,983,556,
969,791,367,149,298,767,837,706,106,341,078,613,184,424,227,526,231,431,310,
122,113,806,026,931,197,967,067,207,412,584,691,766,133,281,896,889,252,569,
895,831,898,130,945,509,682,387,608,566,228,658,551,944,344,042,184,388,313,
383,844,397,520,830,671,177,249,037,707,933,597,210,779,049,849,901,588,107,
856,487,733,442,264,610,050,313,375,595,589,121,606,515,853,543,501,822,665,
883,347,124,654,989,664,801,044,623,437,405,451,585,727,354,396,604,505,018,
102,001,862,145,823,050,935,043,239,093,406,681,496,917,760,671,412,402,645,
846,976,287,700,805,472,948,341,227,519,660,899,289,728,381,463,001,873,694,
442,850,070,996,870,687,639,485,109,821,593,957,880,922,933,442,497,800,336,
608,380,744,613,903,482,446,832,767,000,675,197,187,850,174,208,410,530,085,
411,209,159,450,201,251,657,013,875,137,190,098,121,852,004,228,763,478,694,
618,409,311,823,890,930,204,099,204,925,391,268,667,055,075,471,124,248,515,
605,685,427,138,510,312,010,810,293,390,862,636,136,860,745,707,583,577,261,
193,256,448,454,129,376,156,034,386,658,352,437,394,840,618,778,366,239,620,
664,896,536,578,477,192,963,093,318,949,470,251,686,352,001,905,128,410,706,
468,258,668,026,073,996,413,743,025,053,034,755,056,613,815,624,336,603,093,
270,499,782,246,516,469,176,047,523,281,941,423,487,228,463,350,997,843,511,
939,615,042,810,739,201,842,794,917,964,723,533,726,433,685,136,789,958,571,
085,521,808,428,027,366,721,217,208,504,930,438,179,189,578,304,821,503,525,
003,865,479,375,433,324,432,321,210,850,051,418,732,253,948,592,206,567,945,
345,498,055,375,918,925,523,611,125,504,510,294,361,267,999,733,064,503,605,
414,857,526,014,483,887,272,487,544,613,998,263,020,993,037,166,512,862,326,
492,999,089,680,687,310,178,077,695,660,101,205,972,057,075,269,798,627,702,
541,024,210,864,368,501,150,664,880,309,057,072,199,479,835,287,480,233,671,
540,546,254,047,814,157,747,339,591,271,765,022,541,452,376,143,605,167,420,
804,223,699,727,526,815,516,575,663,311,911,809,825,932,124,613,071,176,545,
338,197,869,672,827,123,296,201,586,043,258,561,455,589,794,879,507,544,894,
103,271,808,352,756,957,742,453,419,668,777,351,084,812,291,919,441,374,756,
767,610,709,341,016,949,645,174,754,789,339,623,557,601,088,302,331,054,302,
890,687,038,265,292,857,477,301,414,526,771,633,245,617,253,917,925,724,911,
879,161,859,029,063,383,891,814,829,286,995,918,032,151,994,472,958,315,010,
865,168,794,823,930,210,769,921,170,691,706,722,808,851,742,707,226,771,005,
759,725,100,594,386,309,521,275,825,591,417,296,729,850,253,168,690,221,225,
705,328,346,253,079,026,202,182,267,856,084,341,745,152,533,605,634,188,481,
450,808,307,899,715,080,013,416,427,266,554,585,276,578,504,969,256,543,601,
461,619,874,834,017,074,274,352,720,353,100,471,949,466,345,421,093,531,741,
267,260,603,682,213,302,050,358,032,505,214,393,670,004,494,923,381,838,613,
943,593,694,874,922,632,251,140,497,576,927,098,410,598,491,191,396,043,796,
451,718,572,505,474,754,470,451,785,725,692,403,924,914,448,306,197,848,299,
315,329,984,648,464,232,926,633,073,779,698,632,530,522,506,109,381,178,561,
003,375,292,420,729,425,341,007,063,477,124,830,050,621,506,594,923,320,021,
034,667,149,803,797,327,051,117,886,065,112,631,109,951,935,651,238,251,912,
643,567,908,314,441,803,368,929,212,329,052,485,972,941,231,510,789,919,156,
886,714,625,322,638,315,105,355,265,741,212,503,588,186,153,912,200,062,865,
922,284,056,956,478,000,970,356,756,503,387,454,665,124,386,460,382,706,208,
585,686,162,088,964,533,649,304,235,587,181,744,320,395,102,927,652,255,587,
371,253,709,865,541,301,024,582,697,566,742,524,000,597,076,129,994,211,919,
134,352,631,025,125,829,327,297,094,312,498,721,315,360,296,490,774,389,046,
890,328,053,113,307,903,592,598,114,964,091,399,701,961,696,481,090,055,373,
084,159,980,828,248,040,941,549,258,096,682,137,721,928,665,757,893,530,047,
335,789,340,810,236,437,423,339,972,498,488,854,262,313,432,858,145,906,600,
547,312,995,249,441,546,437,443,035,976,017,158,422,286,281,874,761,818,666,
932,418,795,439,024,283,284,176,670,931,709,669,977,007,100,413,316,101,340,
542,594,359,532,509,156,970,148,350,249,586,688,587,788,187,889,663,665,460,
932,063,195,661,391,683,786,878,653,848,885,733,764,796,803,345,792,642,967,
907,361,019,227,035,682,192,586,298,793,642,882,537,279,626,643,854,646,360,
098,630,138,985,751,946,316,539,236,154,043,362,440,654,602,842,293,337,132,
487,205,058,785,708,372,661,839,936,663,379,633,514,705,503,024,553,585,100,
558,135,425,103,935,010,273,803,378,615,667,138,957,777,344,659,043,956,137,
268,942,414,955,390,953,330,311,476,516,948,829,799,909,303,370,965,962,686,
188,222,383,196,570,787,774,351,095,372,398,709,861,447,549,650,565,231,231,
029,725,468,807,958,363,791,900,527,412,336,481,544,584,100,386,767,379,363,
036,422,881,783,201,314,965,438,240,258,851,899,790,894,847,931,009,957,752,
683,114,671,273,151,072,384,654,521,779,259,992,875,902,621,406,473,673,515,
275,280,820,919,752,572,291,303,314,875,370,129,733,179,820,732,833,861,448,
603,058,805,091,635,614,605,867,668,167,683,757,462,855,006,518,975,685,400,
598,893,406,549,559,474,153,888,853,890,392,169,527,926,452,045,473,725,451,
925,351,138,582,034,659,256,144,697,584,534,728,262,974,695,050,677,105,215,
927,288,844,497,319,891,112,640,856,146,348,956,552,921,486,201,418,308,623,
120,634,938,927,054,135,603,982,782,620,843,118,042,373,511,200,283,949,402,
044,550,814,205,890,553,833,641,702,987,498,609,362,893,786,833,013,727,754,
723,124,257,149,198,787,460,053,356,795,556,673,967,811,523,822,277,139,564,
155,003,168,036,400,364,232,801,085,473,831,293,213,832,371,867,812,112,718,
434,808,043,946,591,591,812,850,359,316,362,498,902,750,954,488,732,948,824,
109,608,765,547,801,237,012,206,233,944,978,029,908,944,128,509,701,344,420,
947,539,681,132,443,650,064,678,932,771,467,135,021,214,999,357,472,384,611,
127,751,224,901,098,983,844,156,121,395,311,736,319,969,256,546,900,314,972,
052,705,392,313,885,018,183,972,513,874,956,502,785,982,965,514,432,075,358,
047,139,005,751,891,512,751,790,903,355,524,873,634,135,710,892,569,776,395,
750,432,270,680,590,724,605,202,463,449,248,154,366,039,143,857,813,537,666,
005,530,296,770,536,675,469,016,337,778,867,272,634,798,459,384,978,373,517,
712,908,267,633,938,094,991,724,780,313,885,954,178,527,188,655,627,127,947,
225,695,810,636,689,582,530,851,136,702,407,140,084,515,408,318,802,730,627,
077,531,789,227,390,313,429,311,109,725,427,639,257,323,637,410,158,671,374,
273,821,787,470,111,905,509,229,155,630,677,398,791,305,703,204,005,724,852,
196,187,341,484,887,220,492,484,099,852,331,116,981,218,493,993,598,132,874,
653,611,761,974,382,733,141,029,440,587,003,947,077,981,990,378,636,310,858,
967,407,356,601,763,954,409,396,300,343,686,619,464,895,863,949,834,870,861,
979,248,649,315,413,003,681,797,733,463,444,674,025,862,804,637,634,779,536,
286,005,372,425,792,457,101,035,353,614,592,535,353,138,451,604,351,723,190,
674,086,123,613,562,444,579,246,003,699,096,578,611,958,346,287,410,583,610,
986,229,281,008,943,059,221,136,122,522,385,399,740,050,199,316,266,096,282,
062,232,247,844,567,467,583,548,546,553,107,700,819,594,748,486,743,575,610,
588,967,276,968,185,956,575,906,522,815,678,216,152,511,630,020,879,170,093,
445,072,454,825,120,051,867,849,088,567,013,931,301,684,273,648,810,448,071,
967,646,752,451,999,337,136,629,394,822,819,764,817,671,832,237,738,493,778,
496,851,830,997,773,715,439,955,912,344,807,249,687,180,847,125,267,604,802,
877,812,047,018,115,336,537,387,476,347,938,064,182,668,388,302,557,076,178,
127,105,658,711,126,298,846,013,097,177,403,560,107,248,887,670,567,946,795,
424,854,548,387,145,670,897,606,386,863,170,509,282,599,927,229,397,814,858,
887,855,316,222,153,623,142,981,893,295,627,659,426,677,190,850,265,576,757,
464,948,395,284,349,324,795,434,210,969,371,255,649,312,142,416,206,668,597,
666,579,226,427,034,958,276,506,737,982,917,573,312,486,107,760,510,022,360,
815,186,272,133,634,399,316,635,848,900,776,247,506,934,759,077,850,272,067,
477,712,455,519,128,469,474,105,806,096,888,605,547,005,708,350,081,221,300,
624,828,263,066,785,855,557,384,234,767,736,567,291,191,458,857,929,008,389,
682,422,415,183,362,499,965,576,488,726,028,470,773,236,431,757,722,154,113,
228,395,874,159,114,573,238,831,713,896,411,797,588,885,019,292,956,721,976,
112,909,764,943,781,585,733,391,456,341,834,325,236,929,590,159,032,599,069,
993,044,587,690,088,175,947,978,012,007,767,014,448,469,018,718,961,433,584,
090,869,588,872,311,194,003,762,147,046,933,306,029,534,547,071,183,098,724,
693,061,587,274,642,944,820,265,149,094,155,297,667,775,433,730,069,851,567,
850,479,645,374,749,262,853,655,973,645,817,728,053,720,749,554,404,782,586,
468,810,783,311,102,557,266,515,155,284,182,838,691,926,715,473,852,901,486,
709,009,115,816,069,206,151,730,972,293,455,632,462,352,624,568,166,648,905,
014,057,658,581,504,837,308,440,606,087,271,480,111,182,443,117,227,049,465,
617,643,904,668,161,370,743,780,606,218,239,349,463,839,803,010,762,831,060,
025,742,442,841,667,118,004,488,859,548,451,228,269,520,762,805,069,122,153,
696,290,638,702,450,564,677,519,481,989,031,412,477,830,016,354,547,562,433,
626,479,873,972,333,895,048,362,394,022,181,347,009,428,577,497,885,918,094,
830,655,259,591,137,844,343,796,831,790,854,580,476,483,146,724,265,560,285,
580,945,702,513,443,709,209,564,837,926,707,023,975,572,426,520,556,912,424,
435,443,876,305,008,823,094,058,706,223,893,591,798,478,526,815,254,954,257,
913,684,119,514,657,397,542,241,173,349,987,221,909,149,935,972,113,818,915,
471,877,012,473,737,648,634,137,680,632,395,643,253,554,575,591,762,860,258,
004,032,263,052,933,495,828,343,762,636,682,602,849,126,229,720,979,501,969,
661,010,675,145,790,496,815,511,518,534,793,075,725,429,418,003,959,742,356,
422,939,718,689,179,470,068,995,466,426,893,014,014,359,649,328,205,948,678,
018,794,968,427,316,572,928,231,539,688,323,343,693,608,828,738,373,463,164,
642,251,077,067,846,601,937,246,855,073,688,650,559,482,482,447,354,604,871,
096,402,281,585,879,020,060,014,353,803,000,648,772,408,061,654,249,832,236,
763,607,306,042,482,294,337,689,607,070,755,137,900,929,800,349,137,256,341,
295,764,800,479,134,915,715,517,155,991,276,221,648,764,451,171,819,074,574,
694,116,072,922,888,662,301,737,942,443,159,978,953,484,271,108,988,685,266,
859,721,663,427,449,407,447,393,646,474,751,915,634,723,678,259,287,608,919,
243,324,997,602,721,012,855,360,827,159,665,809,708,083,190,713,090,957,237,
238,329,471,236,781,637,630,629,160,994,456,354,931,595,051,414,324,469,246,
004,647,095,848,840,522,909,516,840,105,481,810,120,943,900,469,934,627,105,
303,340,848,833,652,371,688,735,788,203,781,610,709,625,827,352,982,195,867,
017,744,160,724,821,016,021,510,656,893,939,037,300,649,722,540,467,748,766,
044,309,238,783,227,484,116,570,290,596,235,813,497,660,610,565,537,460,809,
279,587,254,306,022,213,387,419,944,896,979,301,278,052,599,468,466,982,505,
924,298,594,172,480,096,745,326,440,317,088,945,592,232,339,592,041,496,035,
311,603,204,799,528,330,031,424,182,132,517,039,804,733,018,287,951,692,990,
079,946,830,760,369,669,601,796,679,579,607,303,737,311,538,032,098,678,338,
287,314,093,163,780,679,219,519,575,537,710,267,309,020,861,306,214,429,066,
585,660,071,293,345,552,026,111,545,648,001,792,224,422,908,012,657,783,860,
510,246,933,608,423,283,284,027,595,875,907,755,819,868,373,828,336,397,874,
737,169,090,703,858,802,244,825,606,222,886,253,771,438,378,428,819,142,051,
640,094,275,357,551,407,786,241,831,955,485,394,077,866,887,542,556,481,651,
807,338,013,643,869,030,657,898,618,510,687,202,242,691,950,339,110,836,579,
645,970,693,340,801,285,346,290,581,389,286,248,699,009,859,796,633,683,221,
887,445,691,775,168,063,911,550,811,890,785,822,313,379,341,909,802,269,888,
849,038,619,407,015,963,501,100,653,473,236,474,626,157,143,929,066,662,958,
187,706,717,559,724,731,914,790,547,930,227,800,759,576,112,464,384,830,697,
631,349,980,695,669,896,053,106,151,518,132,652,923,148,588,168,359,245,748,
886,136,479,947,886,153,599,691,649,907,967,229,422,061,744,783,393,626,841,
238,054,117,114,910,122,821,663,736,957,008,302,662,436,110,455,574,716,319,
402,664,758,468,622,463,337,309,157,327,710,726,159,340,446,426,892,341,634,
517,166,400,940,184,705,731,198,193,154,729,405,230,387,580,857,070,390,519,
136,109,420,209,178,641,282,901,342,929,564,800,577,672,398,227,865,328,645,
514,673,824,603,497,027,916,733,653,452,277,013,414,983,318,228,932,115,786,
024,155,994,541,960,526,388,987,617,097,982,518,339,157,967,557,659,534,855,
083,131,475,800,240,868,201,865,546,671,969,323,006,738,893,216,382,724,495,
179,767,397,447,259,438,982,617,300,777,791,473,276,954,441,642,553,127,294,
859,300,569,844,316,953,118,738,916,608,661,416,226,910,541,889,902,245,500,
333,422,434,660,510,560,667,332,032,352,299,120,872,623,182,651,645,608,864,
256,461,442,383,310,967,239,931,759,994,028,588,782,705,193,623,536,481,064,
623,140,380,676,162,044,265,168,251,476,358,377,655,783,703,769,940,629,304,
429,283,456,170,366,949,152,049,541,994,400,550,138,186,126,333,378,524,245,
873,951,702,917,823,718,768,226,088,475,167,379,884,000,979,445,309,117,477,
452,223,298,337,205,760,337,392,229,971,234,181,925,810,637,031,193,012,540,
306,118,384,447,627,939,927,282,487,888,827,403,378,440,177,499,917,531,002,
298,767,096,557,120,681,697,485,063,200,490,738,427,391,379,518,758,049,325,
814,636,704,644,776,956,369,599,678,315,357,367,780,187,903,631,057,549,705,
354,722,462,456,495,956,064,996,959,275,543,300,286,476,604,664,252,360,826,
153,129,513,746,531,917,604,889,995,847,394,943,834,663,908,292,841,494,377,
454,960,155,141,019,666,850,996,583,644,910,940,401,238,604,391,985,662,091,
843,512,651,370,993,689,647,575,478,890,670,200,731,294,205,366,720,227,366,
500,452,485,824,005,150,375,000,979,362,030,445,693,986,193,813,492,273,762,
195,397,947,921,859,748,261,029,683,969,036,327,727,330,759,827,031,183,253,
765,072,295,779,353,330,912,379,045,568,521,327,392,111,666,818,370,017,035,
999,282,146,468,377,038,712,118,050,304,977,491,900,891,217,262,713,968,975,
624,530,445,369,219,630,407,011,729,409,147,834,899,591,455,330,925,692,827,
149,532,251,741,774,593,500,874,744,217,619,817,162,319,386,932,669,664,625,
211,380,083,770,843,008,109,021,294,620,892,827,983,139,194,055,521,017,433,
448,634,375,921,344,019,554,374,025,082,590,450,771,456,315,669,644,663,151,
519,576,445,331,659,649,228,568,222,808,807,679,442,738,307,558,264,595,025,
136,824,932,040,813,377,162,351,824,893,575,886,609,686,452,737,768,272,976,
731,610,206,727,323,878,826,166,324,851,302,678,775,393,826,627,722,545,789,
986,347,156,874,698,186,699,629,639,492,849,709,994,713,368,285,989,065,152,
141,031,359,026,025,691,260,530,226,129,885,702,834,792,423,303,480,954,765,
342,223,973,670,829,881,819,517,217,566,832,836,921,193,925,948,009,167,466,
458,956,335,500,189,069,196,487,205,200,820,698,998,950,421,345,654,343,674,
794,540,657,003,653,114,280,707,471,876,521,439,498,646,469,414,611,070,083,
107,793,550,598,133,217,541,097,994,002,044,842,288,600,558,976,166,017,553,
127,374,661,663,265,119,602,463,963,679,913,882,900,173,416,676,400,428,164,
668,811,777,584,127,051,192,164,479,531,914,933,037,833,345,214,879,674,572,
088,737,327,885,697,275,295,451,528,037,340,847,428,904,730,546,691,896,390,
947,848,421,139,812,491,863,188,606,310,503,524,702,151,257,071,699,765,111,
538,479,592,469,173,936,939,548,214,167,696,066,802,373,642,429,235,028,951,
192,259,606,719,842,298,637,733,290,022,615,008,387,638,762,533,328,154,930,
416,540,295,194,990,263,508,386,383,423,074,577,289,370,899,008,295,632,331,
552,174,111,619,322,261,365,895,502,749,526,885,653,400,991,384,747,572,557,
665,225,415,579,685,364,267,948,312,910,177,065,465,510,962,931,977,141,023,
450,385,306,971,860,575,977,209,903,132,433,351,111,007,951,260,931,107,554,
901,944,754,579,937,923,359,039,998,632,612,077,000,386,147,585,323,078,030,
075,626,625,251,299,534,737,362,911,153,841,969,107,562,575,931,857,054,834,
638,875,905,847,721,945,224,779,736,466,593,774,883,032,066,549,430,660,163,
401,198,632,785,405,500,553,829,395,077,137,114,076,149,515,603,630,346,158,
797,747,343,599,454,954,742,100,979,655,237,212,918,205,338,310,288,507,156,
393,916,340,288,190,972,400,149,199,989,323,864,296,740,033,971,814,155,410,
339,952,937,707,781,145,558,905,940,278,546,978,163,575,463,179,558,813,090,
920,107,161,303,643,649,536,183,834,393,122,226,741,761,614,030,396,962,993,
780,950,619,006,311,406,675,842,741,655,172,593,866,867,167,540,052,723,471,
790,348,760,991,338,682,426,920,452,631,943,401,322,036,382,217,706,729,104,
747,906,127,240,341,367,937,921,418,963,905,819,297,439,959,507,879,381,579,
351,917,721,688,988,153,297,549,471,466,969,111,554,663,883,152,270,146,747,
434,702,462,959,291,941,205,021,805,488,540,005,662,543,221,869,842,587,357,
610,162,977,881,296,991,764,036,419,919,973,178,399,892,840,637,886,274,204,
604,583,163,211,417,271,470,448,246,491,065,661,870,723,911,402,613,428,744,
667,766,661,639,375,091,634,758,130,940,096,260,468,666,339,725,398,187,372,
149,076,823,076,933,490,167,590,321,720,950,701,420,807,893,225,193,465,757,
587,805,148,215,006,557,698,188,027,450,626,132,459,816,903,455,318,968,273,
923,957,873,393,528,600,061,921,347,440,587,387,414,984,320,007,640,576,487,
043,442,779,973,824,347,585,274,088,212,183,384,861,039,217,275,725,582,217,
366,117,158,529,276,579,326,702,909,644,101,892,859,982,348,633,718,228,547,
761,213,822,213,555,285,057,268,628,880,984,483,463,876,188,373,212,435,732,
533,587,074,318,150,138,575,860,697,692,546,830,501,844,795,285,993,491,648,
335,847,498,814,072,028,184,910,788,942,600,279,175,809,727,791,962,695,004,
310,405,665,062,391,241,084,727,176,345,035,306,911,938,482,704,166,078,219,
168,610,620,571,180,694,133,544,606,561,518,031,842,561,697,934,747,410,410,
951,437,488,538,848,101,376,152,333,228,184,569,292,107,228,025,741,976,689,
219,887,616,657,256,507,984,234,886,262,506,827,621,737,684,169,288,544,562,
318,536,299,078,819,186,278,055,416,138,313,362,077,414,197,610,619,367,476,
901,030,502,296,034,781,203,351,202,620,086,345,760,440,090,374,656,209,065,
226,283,382,493,296,095,068,336,572,043,327,576,335,843,454,234,961,860,870,
552,467,138,645,321,675,391,857,345,771,320,430,220,228,005,792,665,119,871,
376,937,538,628,994,980,955,795,014,303,325,515,524,211,738,674,637,360,227,
845,180,233,375,847,778,302,873,629,762,179,118,611,112,210,552,213,877,844,
012,875,021,914,011,682,778,291,839,157,395,457,124,070,580,116,415,975,471,
876,146,017,001,395,355,054,486,777,294,934,043,397,849,837,293,221,011,947,
859,375,587,541,367,102,255,283,064,562,813,498,098,156,188,970,846,770,216,
679,567,458,149,921,952,222,065,882,382,055,626,891,946,954,434,815,342,281,
974,484,215,788,189,594,986,857,650,761,241,825,211,773,317,194,692,233,056,
341,672,555,749,366,995,866,906,958,883,910,085,443,991,873,628,318,734,597,
485,378,192,118,364,042,767,705,575,932,408,140,149,955,781,858,898,225,967,
563,799,255,960,361,618,571,200,833,864,607,271,925,615,138,666,818,381,528,
936,726,786,842,019,068,646,263,628,625,229,411,886,927,257,612,087,477,177,
601,741,237,528,438,812,229,162,712,398,676,139,868,856,271,605,989,806,913,
100,602,299,964,285,582,033,708,156,815,969,328,210,626,771,897,716,307,977,
929,616,833,369,843,486,816,446,139,805,998,312,504,567,407,326,560,579,887,
488,899,946,787,968,263,746,442,887,231,581,861,259,253,529,103,792,040,365,
693,471,892,273,163,268,531,060,309,675,483,131,141,598,317,203,646,162,511,
474,709,197,092,628,364,565,420,152,231,245,002,097,762,672,798,469,758,630,
920,632,371,407,483,018,982,015,487,040,804,390,799,094,036,031,664,474,699,
952,351,949,657,799,524,882,413,670,034,978,169,457,818,568,325,033,806,048,
828,766,295,993,836,084,836,994,284,753,912,688,934,305,295,805,171,844,317,
740,131,509,544,502,651,977,848,206,430,197,977,202,186,987,935,333,791,294,
727,388,043,332,830,509,596,025,364,156,179,168,420,234,464,935,478,422,222,
483,485,029,041,475,087,309,045,522,495,689,477,253,675,730,156,007,836,505,
761,667,909,331,470,191,370,186,246,220,758,711,676,840,731,346,212,837,421,
128,214,355,519,641,078,135,515,706,247,866,536,256,835,583,353,637,090,218,
360,689,809,560,728,664,876,300,176,291,016,130,935,295,285,615,097,226,391,
621,560,611,080,473,477,893,291,870,322,513,872,185,020,853,748,090,278,795,
052,570,090,576,465,533,654,655,594,732,024,904,329,750,928,904,722,583,207,
390,777,138,611,692,455,208,783,275,712,474,875,743,071,225,821,747,974,484,
031,394,481,902,572,918,588,792,942,925,340,622,627,522,383,223,802,881,879,
245,589,644,193,974,183,793,826,104,177,122,290,903,194,850,343,364,722,039,
108,252,378,609,534,642,860,724,056,836,023,957,687,539,947,035,660,673,839,
376,142,175,955,630,108,936,381,265,932,363,166,991,500,860,019,554,836,956,
586,849,435,715,255,191,868,439,428,229,973,537,245,754,143,664,974,851,203,
197,760,834,502,444,813,526,113,429,895,234,087,087,144,391,028,383,692,763,
493,413,426,588,985,952,940,629,506,786,021,946,265,942,025,728,982,250,101,
767,036,168,895,704,890,438,755,706,078,598,160,784,085,179,755,840,229,638,
226,759,671,498,479,633,785,302,884,383,027,533,870,617,199,510,999,986,234,
170,463,828,326,966,618,810,662,511,880,813,806,729,030,059,551,708,020,055,
822,844,126,556,577,378,477,342,983,182,041,645,648,387,150,146,611,539,434,
602,773,475,083,867,257,786,976,638,174,724,684,589,223,176,999,831,530,554,
514,618,727,861,785,069,685,042,222,058,520,460,562,764,928,828,719,970,947,
916,243,394,236,346,593,760,887,318,666,926,379,098,456,258,616,217,329,594,
955,338,655,891,383,828,252,540,944,190,116,537,749,540,991,533,079,512,325,
218,095,534,862,898,024,412,926,911,617,407,626,772,155,592,153,296,079,175,
987,993,730,762,987,927,245,327,125,929,929,236,883,532,279,242,894,612,657,
132,740,058,900,628,716,219,085,938,220,928,261,121,374,829,834,328,358,744,
792,822,656,750,484,199,753,801,991,253,120,487,165,248,397,702,493,389,584,
279,951,425,560,178,726,000,441,032,715,473,383,108,678,189,071,185,747,081,
276,843,671,066,247,580,077,256,255,004,142,872,434,675,384,527,336,398,321,
016,853,607,331,661,005,232,896,419,978,385,361,580,019,210,311,967,712,084,
476,239,285,801,536,177,685,084,586,668,051,246,391,020,019,849,314,759,225,
419,950,372,124,827,665,282,056,551,677,007,984,469,132,115,882,299,430,156,
249,830,352,185,447,923,732,910,711,761,953,550,464,331,811,936,667,272,007,
879,689,865,186,405,212,192,658,687,416,703,662,490,768,647,837,309,955,283,
320,565,063,354,063,080,273,672,853,916,543,258,236,276,149,378,721,270,147,
331,754,898,812,297,401,102,741,946,717,303,000,065,909,794,292,993,425,705,
137,939,004,180,224,166,524,407,562,963,255,878,398,778,771,058,448,444,929,
022,634,276,991,580,655,312,273,765,118,660,034,498,452,896,603,994,398,212,
155,018,001,562,528,328,886,941,299,773,891,458,822,556,208,670,432,632,142,
884,715,725,030,439,081,625,407,409,529,640,964,575,706,632,532,822,553,279,
678,361,197,780,682,639,102,687,225,243,107,968,037,742,727,075,094,522,849,
135,320,721,686,026,132,877,273,147,126,820,561,908,878,061,075,895,214,402,
212,300,453,444,268,495,659,381,931,434,776,770,980,369,059,466,752,899,567,
760,620,904,296,139,082,519,414,333,961,075,085,383,861,235,006,476,590,477,
982,321,091,912,561,527,126,474,994,263,371,848,076,032,348,917,731,252,844,
024,831,835,082,383,150,356,143,997,282,091,490,056,841,463,814,434,219,947,
588,961,752,504,218,745,381,589,163,938,275,175,333,601,224,134,015,395,532,
439,211,952,096,286,838,345,527,590,858,389,557,499,804,322,117,345,918,403,
466,622,048,384,906,346,090,675,605,908,307,888,916,868,044,365,235,346,812,
734,669,701,806,133,482,507,132,845,627,987,760,492,671,079,488,024,226,807,
489,043,210,116,038,486,101,348,737,754,655,154,925,758,631,402,764,442,475,
913,604,845,073,359,593,216,822,412,094,656,205,994,805,180,364,370,580,980,
770,955,887,659,681,316,496,648,515,793,064,975,887,670,787,556,034,467,067,
381,057,124,094,134,215,830,404,387,108,656,149,973,175,646,953,836,699,655,
425,481,573,162,070,343,630,927,564,236,233,250,250,410,517,572,232,112,657,
686,347,876,577,886,296,684,018,510,605,377,962,123,362,366,489,625,601,256,
699,007,514,694,192,932,707,534,736,532,702,422,058,242,470,291,927,921,975,
692,368,560,530,969,048,081,913,474,470,147,014,924,302,266,651,457,787,235,
107,360,739,361,096,725,459,054,556,767,114,213,091,381,386,770,083,013,296,
990,592,358,656,642,959,584,616,742,520,358,384,172,335,903,970,491,483,148,
716,358,471,525,874,057,024,000,303,955,588,112,682,679,262,141,863,372,342,
157,950,314,447,902,706,700,670,963,153,138,404,641,984,839,699,906,929,421,
740,596,362,875,920,679,424,785,771,911,806,652,820,710,388,161,082,530,012,
022,329,314,474,713,681,068,879,239,010,170,948,177,781,831,166,906,795,283,
608,740,146,205,303,709,843,085,183,135,777,288,267,024,994,856,420,792,218,
424,801,760,721,264,110,506,104,214,280,322,647,519,146,405,265,281,449,624,
391,867,544,479,932,785,228,141,993,903,950,157,965,485,649,751,165,085,249,
270,015,762,451,867,425,182,302,946,665,333,806,448,089,183,100,399,150,282,
624,314,191,719,612,083,905,274,518,776,214,186,626,543,811,662,215,264,297,
386,080,683,997,140,108,332,772,779,479,130,379,855,102,366,857,790,160,856,
798,625,563,008,197,086,401,514,945,946,030,315,729,963,122,732,786,620,822,
692,994,990,154,702,210,338,570,610,688,431,606,920,978,591,085,277,314,908,
958,601,754,412,151,342,480,657,168,593,368,571,455,956,916,736,675,328,696,
573,933,208,081,744,498,120,247,926,572,137,919,253,610,138,154,508,893,002,
504,454,546,545,362,880,779,696,784,143,709,991,411,452,822,780,150,929,639,
386,757,107,260,099,021,890,880,332,730,591,652,214,760,039,997,627,976,544,
820,317,868,791,850,876,058,412,335,067,682,936,160,021,483,711,225,736,197,
314,363,326,385,237,329,274,985,894,479,400,593,948,932,286,495,645,995,030,
753,087,472,856,982,330,330,791,645,399,620,372,067,868,454,544,850,131,024,
242,301,978,776,301,626,503,138,371,827,475,228,210,672,131,399,464,626,679,
017,771,147,978,139,661,760,176,980,774,508,544,385,232,075,382,062,017,152,
630,876,820,668,077,494,272,306,250,959,314,342,022,193,710,254,425,133,140,
620,104,051,842,718,627,340,228,500,617,057,762,998,535,990,425,181,115,519,
911,164,437,498,479,072,886,770,801,021,290,154,185,156,641,007,815,592,949,
239,773,882,103,512,600,407,777,077,256,428,426,009,332,268,928,083,294,350,
825,354,272,684,825,784,888,758,511,269,554,885,573,939,688,212,075,987,579,
420,909,463,057,787,731,317,996,587,823,748,614,032,925,827,799,880,446,037,
661,183,145,981,842,475,159,288,888,438,686,897,962,383,497,247,421,015,595,
872,815,841,155,475,785,760,145,399,241,716,074,880,171,519,681,941,241,051,
142,286,539,610,931,757,885,168,935,156,351,041,099,664,169,844,998,398,796,
158,982,484,041,857,168,059,685,249,524,705,633,200,437,347,830,311,740,183,
715,082,821,655,130,996,992,845,952,647,509,324,591,595,831,680,181,542,955,
445,014,075,453,554,300,167,465,256,343,684,459,885,291,731,664,370,216,094,
909,781,848,781,138,164,510,267,797,073,380,494,995,418,895,678,937,718,039,
336,515,756,780,795,531,014,406,653,217,529,144,827,360,919,837,964,919,491,
591,878,002,160,316,023,309,376,823,675,110,223,970,364,134,480,320,027,738,
015,162,558,233,944,267,619,492,419,340,811,387,070,595,765,503,947,954,986,
920,927,900,490,210,445,029,430,470,119,422,298,482,286,795,794,289,350,369,
566,817,634,960,492,216,875,062,155,064,875,450,398,134,213,144,766,360,492,
958,205,050,507,551,865,157,143,677,086,207,347,839,364,750,650,035,691,675,
287,293,941,763,818,739,919,947,918,802,615,804,380,653,003,376,896,548,625,
614,545,610,567,348,427,081,701,288,046,457,920,994,594,316,747,259,839,964,
861,936,475,389,183,654,669,099,072,197,678,235,750,434,765,137,751,700,546,
771,652,172,316,669,488,020,714,404,412,339,390,043,036,674,475,574,070,148,
561,399,754,137,389,616,649,374,046,671,506,869,583,374,939,923,985,689,615,
451,779,257,040,995,126,538,991,268,411,936,752,456,760,937,113,194,225,565,
705,322,694,141,177,893,266,124,849,634,093,645,434,674,068,365,693,257,817,
606,191,372,170,011,222,302,867,792,359,238,071,274,014,570,350,442,856,860,
312,035,748,017,800,604,882,978,411,513,704,520,774,194,270,775,940,684,749,
247,901,669,990,859,396,294,419,670,206,916,667,313,617,008,388,990,302,607,
595,249,009,280,523,364,957,077,812,848,501,141,314,583,606,118,346,398,370,
953,022,217,069,750,418,777,080,107,720,202,451,516,208,542,114,699,291,483,
874,404,072,848,381,250,477,055,518,999,279,639,927,269,279,293,592,314,537,
785,054,912,200,465,640,955,839,598,607,848,587,548,462,975,242,885,891,071,
006,035,738,036,050,765,437,988,702,942,105,190,463,018,129,298,059,687,012,
317,149,519,709,275,273,528,869,399,349,194,375,325,244,803,457,188,513,611,
843,932,292,047,506,331,113,412,554,211,944,959,350,936,510,442,087,460,240,
291,749,863,379,880,828,672,076,715,553,673,795,741,727,862,858,943,448,567,
382,556,030,736,677,145,560,158,273,706,231,191,420,824,416,653,444,744,106,
269,697,305,517,885,820,305,039,406,866,138,593,730,587,762,676,349,231,072,
573,285,166,054,493,057,872,785,908,933,945,650,852,846,941,874,628,547,441,
893,949,569,082,172,689,794,400,748,163,453,124,023,807,459,022,205,708,972,
395,509,162,319,260,619,412,164,910,769,442,735,618,597,873,799,573,744,708,
850,037,439,181,057,909,933,422,605,526,685,377,690,835,879,064,520,186,084,
751,742,947,513,267,538,684,994,456,290,731,695,077,030,635,832,541,720,997,
206,655,893,822,674,813,910,664,698,467,921,947,014,911,199,745,225,339,938,
932,819,892,386,605,989,196,416,641,165,115,823,303,869,828,521,144,162,815,
219,614,434,225,538,794,303,119,456,332,647,028,923,513,619,800,911,797,287,
975,256,977,095,803,866,190,714,585,786,344,647,018,631,069,157,758,853,860,
754,294,756,153,185,130,202,252,813,106,843,292,427,305,049,403,508,231,325,
953,505,228,994,856,205,622,712,777,632,740,972,039,459,082,322,570,224,423,
377,212,221,532,993,386,280,978,048,704,368,814,569,179,783,960,599,705,277,
183,974,576,616,990,494,285,735,088,809,682,499,521,740,247,859,095,501,731,
330,358,068,558,420,796,313,513,874,434,608,298,081,874,942,774,526,688,975,
157,281,773,780,370,715,746,379,333,830,745,080,660,086,588,096,505,392,219,
924,160,609,690,393,023,709,521,927,871,959,484,320,911,045,134,831,579,510,
041,529,479,820,534,806,444,569,167,247,849,268,112,099,175,644,151,715,548,
775,496,110,782,239,480,713,447,429,240,842,710,129,742,325,249,180,772,446,
618,471,269,336,504,597,620,039,669,538,200,904,077,806,422,450,205,581,028,
239,881,903,046,858,909,160,008,778,365,276,442,625,530,054,827,133,319,443,
944,562,730,046,981,369,185,690,717,944,347,207,058,404,854,904,933,963,816,
557,208,849,230,060,441,165,501,085,227,942,189,117,913,623,182,308,506,234,
870,600,283,579,213,656,160,861,468,862,906,605,876,018,233,870,305,485,326,
197,039,200,569,108,288,917,037,663,221,733,090,270,883,790,943,653,912,615,
337,682,328,697,609,879,513,567,676,538,933,236,616,704,140,049,265,040,705,
498,234,750,210,204,826,785,543,336,211,864,280,735,046,756,022,948,404,060,
993,015,203,774,271,426,602,038,448,946,263,288,009,787,331,878,157,487,351,
833,038,166,977,502,578,408,494,180,019,080,498,258,144,626,692,572,527,780,
162,337,605,297,264,322,679,204,224,868,630,459,324,450,305,363,792,350,930,
880,945,255,365,157,105,270,963,277,961,225,397,119,881,533,995,611,540,899,
804,913,341,591,506,868,734,468,410,415,447,854,140,026,062,059,175,493,750,
869,291,665,395,926,217,868,942,659,424,419,438,879,477,979,664,248,772,123,
689,860,207,466,469,828,409,909,954,007,117,804,072,090,813,919,492,150,626,
607,097,986,800,753,600,090,011,335,102,464,162,900,252,510,190,587,771,950,
129,801,319,115,760,115,506,927,600,824,800,946,367,086,377,000,961,264,068,
626,132,026,102,675,250,271,390,437,436,189,728,483,551,237,301,925,393,795,
574,776,935,134,761,412,338,299,626,737,223,822,926,822,054,619,913,801,898,
407,143,487,445,296,948,981,356,531,328,822,246,498,674,495,288,044,438,806,
101,927,940,918,631,893,265,895,686,890,752,241,033,674,977,277,951,810,932,
823,035,997,679,734,599,166,747,846,332,948,384,923,624,804,331,813,637,969,
927,539,795,295,245,884,105,783,397,378,933,543,712,527,503,826,979,143,870,
831,383,376,136,697,098,144,045,192,951,808,941,042,079,116,261,705,719,712,
727,326,060,517,226,113,223,340,391,302,967,941,671,539,845,652,818,373,112,
805,367,871,717,499,836,884,105,400,005,235,085,110,323,098,704,733,823,851,
776,258,756,078,098,312,218,719,614,480,512,673,723,957,020,372,807,346,782,
316,679,713,889,538,123,893,686,056,380,922,145,626,795,476,219,738,942,223,
027,237,768,575,621,268,726,401,150,822,737,889,078,372,298,412,228,780,685,
393,179,736,110,647,128,331,784,527,074,507,978,552,969,094,057,935,437,332,
693,718,126,447,381,466,222,219,423,376,579,889,669,511,980,529,523,797,189,
748,226,902,038,022,285,394,130,029,011,264,150,675,037,931,512,440,440,583,
784,840,501,745,727,272,701,849,067,991,437,718,513,447,517,905,277,980,075,
845,403,850,145,182,090,184,472,850,266,920,051,422,324,509,034,566,907,220,
865,225,855,818,011,469,353,584,587,090,535,894,278,197,173,989,641,201,266,
219,822,531,794,097,705,153,167,313,215,815,886,479,194,352,963,199,435,092,
698,255,887,563,206,498,875,784,709,004,227,410,091,859,236,744,669,138,317,
948,329,893,929,895,793,368,536,883,806,923,767,857,358,542,321,652,825,543,
551,587,065,242,749,646,403,527,760,538,458,569,780,513,190,844,880,285,829,
578,758,671,401,243,851,711,002,139,434,620,639,773,061,145,610,881,608,933,
067,825,827,424,373,038,418,134,087,758,252,543,083,692,107,049,486,531,955,
027,274,066,918,276,036,017,227,497,510,803,042,138,892,236,965,606,592,830,
091,695,184,125,364,650,061,290,669,378,081,473,257,740,217,157,734,502,529,
733,992,595,527,620,901,453,205,876,265,053,192,763,181,433,565,329,429,397,
717,069,829,934,281,376,575,457,680,974,284,730,792,669,715,916,629,460,526,
789,076,498,472,447,393,610,040,313,351,033,064,449,898,010,805,769,581,859,
875,187,692,982,456,604,670,415,872,014,954,030,506,388,871,880,629,125,601,
120,563,593,376,663,632,030,962,583,914,522,180,158,769,469,283,618,323,721,
249,530,500,782,657,243,639,855,294,942,083,423,399,901,355,794,214,888,411,
499,530,665,168,372,725,641,214,747,464,688,283,342,269,968,792,590,238,674,
410,013,531,111,054,602,396,141,218,061,895,877,876,345,147,602,147,226,576,
595,836,662,458,631,817,143,729,379,763,813,824,138,912,946,402,610,387,808,
354,990,588,911,817,329,765,290,289,103,548,264,620,274,933,965,254,947,075,
577,225,181,130,961,457,847,030,894,190,657,151,627,157,798,692,697,476,018,
633,449,983,485,911,631,451,690,728,358,392,870,360,297,518,271,091,813,761,
634,107,220,257,394,149,492,442,879,178,814,917,993,669,453,926,534,967,962,
481,721,813,013,366,962,531,062,955,824,309,476,230,107,382,159,804,406,592,
765,200,262,682,544,342,433,366,257,529,400,189,709,331,751,414,185,412,011,
567,806,821,749,439,675,673,201,620,685,900,011,616,200,961,263,918,551,858,
512,542,581,132,111,444,211,594,212,780,133,974,061,136,212,691,862,054,639,
219,407,538,684,861,087,716,437,263,591,683,671,448,243,786,024,679,610,619,
997,557,804,403,399,610,943,115,877,878,926,768,762,294,815,978,690,699,978,
469,753,280,528,502,939,211,789,959,356,462,391,206,881,454,645,685,722,174,
686,997,257,106,758,957,614,649,598,453,040,076,402,964,365,220,388,725,125,
316,723,767,053,507,687,021,862,089,109,084,361,039,207,552,816,923,492,736,
218,566,203,408,489,372,891,587,992,786,488,943,193,524,767,064,559,051,561,
366,490,828,782,831,228,568,772,973,492,661,615,628,300,051,588,673,132,206,
806,162,701,267,819,354,152,086,830,072,438,681,243,118,750,265,216,930,117,
906,285,522,518,218,204,030,627,501,180,002,980,253,766,823,016,459,519,028,
072,513,254,425,862,112,739,213,956,621,680,288,045,355,210,559,931,849,490,
740,398,480,259,115,512,599,497,668,871,130,479,530,422,437,901,689,310,137,
849,396,648,089,449,729,209,687,340,695,504,470,115,889,901,977,190,538,436,
277,141,432,297,374,289,181,449,085,959,087,692,830,930,017,329,984,860,677,
002,272,001,554,507,488,464,843,225,330,567,594,010,378,652,754,863,432,955,
218,984,296,442,213,872,664,627,042,309,100,927,528,748,445,890,824,261,607,
196,130,475,010,059,424,280,530,204,310,564,646,974,635,254,484,932,797,365,
091,487,729,588,990,415,657,452,073,088,181,088,677,783,248,076,431,344,646,
813,128,204,786,897,457,327,665,887,981,652,064,462,094,878,768,642,205,757,
633,179,630,530,675,469,301,325,892,123,861,612,400,700,844,998,868,997,167,
485,127,220,938,107,521,446,834,718,787,151,003,988,078,772,610,068,606,742,
133,333,577,377,112,016,212,012,553,409,893,745,113,990,851,424,442,621,911,
267,454,551,017,506,438,817,234,776,073,276,389,720,727,139,115,760,841,554,
607,448,391,823,008,109,966,606,381,505,557,704,109,339,478,986,801,523,244,
918,998,714,175,785,285,679,485,803,892,110,910,678,038,870,719,477,303,641,
741,303,665,132,961,246,949,676,131,187,433,723,864,692,857,098,091,102,079,
873,588,945,401,167,018,943,823,928,874,405,588,521,752,431,939,402,803,552,
299,644,652,685,981,181,899,119,987,879,494,454,681,104,451,469,476,744,830,
556,275,406,816,816,218,782,859,475,424,185,968,555,741,515,853,316,535,202,
528,630,555,682,125,833,371,601,688,102,332,119,400,316,687,889,677,345,282,
400,206,717,980,699,075,549,356,233,962,453,250,297,028,581,902,798,619,460,
578,308,022,520,041,814,890,755,951,560,136,629,677,329,577,417,140,991,904,
277,537,314,092,530,667,860,678,439,457,208,098,544,482,417,990,454,668,315,
695,622,643,989,482,910,389,720,572,186,109,549,978,145,293,096,262,114,114,
944,102,975,667,479,371,613,387,606,730,944,456,466,714,273,718,317,616,963,
625,654,161,604,916,723,208,196,617,381,431,071,010,992,581,423,387,388,513,
533,940,498,321,456,136,576,982,674,819,718,944,601,021,869,289,026,520,822,
545,712,264,789,012,758,893,837,065,929,891,486,653,843,523,059,371,788,721,
749,508,672,577,282,164,365,908,644,413,255,877,540,946,386,442,414,606,651,
509,971,126,156,441,791,763,125,714,707,172,541,692,740,746,890,634,349,481,
208,339,478,584,591,128,823,376,250,361,354,970,753,536,385,019,197,644,008,
756,058,750,279,644,319,955,222,167,940,260,360,876,271,329,514,620,120,179,
915,058,516,996,152,356,044,147,181,104,683,452,359,620,299,976,353,861,050,
464,843,201,700,950,047,166,781,530,558,618,850,398,931,306,405,804,017,742,
669,005,406,031,859,686,658,937,370,266,747,941,514,584,265,617,104,580,682,
142,927,732,128,688,748,153,332,244,841,301,767,280,432,866,981,822,061,930,
976,983,719,389,805,593,585,780,478,284,005,762,764,179,505,099,949,099,920,
348,052,941,115,149,738,031,786,030,464,819,162,976,372,050,198,623,004,911,
972,973,139,697,677,492,121,547,943,608,404,374,540,094,066,599,988,046,702,
963,544,809,864,721,179,387,133,029,982,714,804,458,113,655,226,389,493,439,
046,908,724,065,516,541,289,575,736,226,673,255,090,589,868,182,610,904,644,
672,988,168,065,334,953,756,825,295,815,764,786,948,371,031,040,868,584,461,
045,338,201,968,588,424,240,088,154,337,897,746,041,391,063,705,842,173,269,
179,155,635,080,998,663,306,619,575,469,453,407,449,171,174,290,917,349,233,
260,787,633,247,639,935,071,101,833,125,387,691,323,477,977,234,041,486,491,
820,132,713,356,047,216,702,856,876,533,465,226,543,651,735,157,772,219,970,
954,563,328,687,465,915,847,942,573,821,770,747,540,709,776,693,495,880,615,
805,011,352,013,748,189,519,287,835,780,890,446,251,591,209,538,345,964,516,
133,559,150,697,210,106,396,969,658,710,513,117,234,385,437,347,278,906,551,
559,628,383,808,021,207,806,918,313,980,296,440,360,437,599,455,336,227,426,
172,011,139,127,522,028,254,920,533,345,544,348,857,678,458,870,454,653,302,
994,384,497,184,003,935,123,088,287,025,843,765,904,672,729,491,993,967,327,
955,372,586,743,683,633,734,585,954,964,231,692,403,108,984,316,547,229,390,
601,815,653,058,643,567,655,433,742,874,550,749,564,154,567,229,369,827,341,
396,974,568,370,991,077,610,911,339,920,383,898,955,154,853,619,044,510,189,
805,017,073,020,195,727,316,552,554,801,998,341,200,939,188,976,173,181,495,
195,894,012,563,685,630,899,964,516,609,443,006,105,885,044,579,187,024,551,
244,736,505,277,321,934,930,347,950,737,852,508,875,486,297,827,867,918,793,
989,750,922,769,116,698,745,976,056,191,406,680,446,717,645,016,733,517,454,
459,482,681,868,890,975,222,942,639,759,163,520,686,677,098,523,209,554,664,
294,100,593,163,852,955,355,808,653,657,564,659,896,937,916,092,699,538,416,
120,469,860,031,812,879,210,097,309,274,242,969,688,776,729,433,077,887,331,
401,510,277,991,383,969,732,707,333,339,076,498,523,780,366,937,254,587,353,
561,249,477,707,078,073,785,272,454,210,623,190,999,828,204,859,555,444,533,
721,784,456,312,288,011,300,836,526,857,109,141,443,823,746,517,167,901,653,
327,594,712,912,959,316,276,438,306,555,879,686,410,732,016,980,899,934,264,
956,118,842,541,025,188,000,846,599,350,681,472,369,153,789,987,202,573,201,
116,944,633,255,149,037,143,646,603,966,933,046,215,888,229,382,189,025,417,
776,395,774,561,636,853,538,954,780,414,266,150,691,919,823,843,910,197,968,
609,105,816,917,610,645,355,809,795,310,309,467,883,426,207,802,605,410,216,
097,240,071,211,560,647,206,046,872,706,697,800,413,124,031,898,871,321,318,
579,035,890,892,694,687,545,275,501,158,014,646,845,984,654,546,244,681,719,
020,456,092,647,004,086,195,454,571,440,743,955,341,126,566,839,698,628,290,
845,770,913,798,335,224,357,818,791,306,032,615,673,961,396,065,760,450,055,
517,244,657,759,020,058,218,331,032,985,903,706,708,035,580,799,861,207,232,
869,195,921,283,359,602,020,989,040,025,569,007,152,637,622,333,250,061,637,
199,312,074,107,507,218,593,503,172,017,538,415,110,366,764,692,330,848,234,
567,753,273,561,364,606,885,701,010,683,281,577,451,627,650,605,741,090,384,
556,316,315,493,330,568,993,285,828,978,364,238,100,643,773,450,881,327,549,
219,490,466,658,010,847,264,808,607,666,812,416,634,117,843,317,790,902,410,
374,723,168,620,865,314,548,982,543,918,776,295,296,520,413,803,580,111,147,
166,831,739,861,306,567,518,550,636,883,179,473,015,300,949,218,295,981,760,
239,033,800,528,267,136,665,938,834,568,702,912,405,201,119,654,859,970,902,
358,542,188,856,331,676,527,260,425,295,575,154,482,646,422,309,812,364,151,
668,627,628,769,214,257,027,914,061,020,803,293,432,740,011,104,063,003,563,
253,855,740,422,549,541,991,816,841,339,962,366,148,828,966,163,925,113,462,
692,690,775,785,335,603,028,722,437,816,321,484,275,533,496,829,879,745,640,
337,482,109,170,577,426,422,632,692,116,244,583,949,173,636,686,264,480,090,
601,765,954,111,272,163,479,012,108,429,984,027,935,012,454,013,883,919,073,
825,130,216,410,060,675,014,009,451,546,223,576,361,510,896,683,290,818,710,
623,968,187,127,850,950,421,850,224,565,054,373,760,702,369,407,515,549,903,
318,429,497,859,132,233,238,581,489,772,870,524,203,280,368,587,952,115,219,
091,533,899,027,678,410,820,522,534,050,181,676,173,412,264,698,777,512,056,
734,094,010,829,662,445,710,985,676,075,980,906,986,147,766,726,833,159,026,
533,313,975,309,229,139,958,473,300,844,733,445,953,221,986,473,361,615,147,
624,474,465,732,355,205,221,744,728,436,990,488,292,856,538,855,501,269,458,
552,200,052,736,805,011,599,488,988,227,477,642,153,584,259,609,877,686,689,
007,350,914,369,634,748,905,258,460,388,730,969,171,995,047,703,777,140,760,
352,943,698,939,857,554,453,123,076,151,668,057,284,957,512,106,096,027,533,
069,139,827,307,040,950,494,639,037,656,517,981,890,733,344,277,622,940,648,
796,110,271,154,775,722,948,569,726,169,888,990,190,662,309,344,083,645,436,
819,045,439,869,153,451,579,673,304,942,953,678,515,859,214,218,521,231,331,
869,977,615,509,116,971,129,735,004,978,079,324,422,255,702,666,260,716,365,
394,370,400,903,428,905,112,634,974,601,633,444,521,380,544,402,180,461,201,
510,475,665,861,923,938,663,310,298,100,690,083,050,665,128,262,090,090,483,
193,159,717,861,852,882,033,637,901,733,365,628,060,379,687,284,859,504,674,
281,855,395,777,031,122,305,955,227,266,183,364,702,373,804,764,265,524,963,
196,960,776,431,086,124,129,939,282,605,623,736,431,992,689,197,693,099,737,
428,735,098,878,901,578,279,931,248,683,962,156,969,630,836,002,939,046,679,
325,552,544,797,008,219,410,581,709,016,557,516,903,604,960,604,036,768,881,
623,212,654,949,744,827,305,764,011,492,935,146,020,541,742,801,786,876,970,
834,500,696,066,732,336,487,625,931,849,795,363,356,385,448,945,611,122,116,
760,702,832,742,640,238,797,161,957,480,291,321,942,493,065,229,957,760,194,
918,896,251,702,665,720,167,361,823,501,308,217,044,770,370,039,921,488,224,
549,273,797,098,895,446,621,107,117,528,425,326,389,314,182,343,601,539,972,
842,406,456,227,454,485,701,332,998,923,471,443,616,468,305,757,781,380,451,
016,213,777,358,349,077,014,640,783,792,742,944,756,995,262,738,041,111,630,
053,710,669,735,347,593,099,879,242,907,030,708,978,524,316,191,684,299,166,
504,945,737,339,705,137,312,038,979,873,030,351,706,554,592,921,068,455,836,
512,504,713,034,477,612,812,762,236,539,726,645,189,205,703,504,529,577,535,
561,183,933,342,110,420,591,003,369,151,436,999,166,149,154,340,833,572,290,
317,690,077,223,267,787,679,335,944,377,344,875,428,766,844,214,432,650,517,
578,346,963,748,809,539,697,315,215,526,991,801,465,931,483,317,207,992,481,
549,387,100,977,234,810,272,460,812,089,169,547,086,747,590,203,938,188,627,
405,335,263,365,118,718,160,783,028,517,561,334,710,925,598,808,698,058,252,
937,201,314,568,080,518,071,054,468,816,740,815,832,157,504,132,359,247,061,
338,783,377,773,695,052,698,586,012,347,839,921,013,188,120,983,061,650,513,
551,288,143,801,126,866,181,661,164,830,244,114,586,009,506,347,867,598,527,
047,362,486,239,353,163,772,576,770,046,008,126,029,311,726,463,450,578,339,
356,695,926,715,109,397,224,752,492,582,126,456,144,733,087,342,628,173,885,
076,192,749,873,249,500,259,283,408,986,710,574,503,303,793,526,577,643,048,
238,183,075,925,617,804,947,221,061,333,042,203,445,954,700,106,919,659,673,
984,695,990,243,501,052,312,600,349,494,728,821,349,364,570,957,136,831,171,
459,482,562,865,853,778,622,502,885,728,561,694,589,660,049,122,191,567,133,
501,130,763,734,839,687,459,918,738,269,468,605,397,875,061,024,476,742,444,
690,110,581,793,325,698,072,430,057,623,520,456,337,765,931,912,097,551,355,
456,956,827,825,520,377,103,471,236,296,773,872,615,932,139,478,927,605,760,
970,976,560,270,134,559,599,958,666,886,175,383,769,657,618,910,048,095,611,
846,042,611,853,700,354,720,174,370,030,961,729,266,704,023,478,429,120,181,
373,469,078,877,311,227,635,627,861,466,244,873,997,288,964,002,634,482,815,
222,571,075,086,198,018,900,383,070,689,006,887,945,092,751,583,969,984,266,
250,407,601,641,329,346,686,952,542,279,064,014,431,864,324,107,634,575,154,
842,543,357,026,743,120,161,440,167,186,046,534,642,921,461,539,717,357,730,
464,023,328,760,675,765,853,809,225,887,434,102,884,688,014,800,581,957,933,
977,844,329,742,678,919,671,960,468,815,789,068,252,052,519,432,123,160,006,
291,360,015,004,100,480,573,296,532,737,822,699,065,896,471,676,907,468,414,
672,817,357,912,910,593,771,070,188,321,929,783,440,048,875,885,174,560,969,
202,094,235,760,304,888,298,711,102,405,071,354,358,785,435,719,102,236,126,
349,844,760,067,763,528,952,870,535,243,235,436,088,277,188,687,309,527,562,
315,446,601,264,320,352,093,781,107,449,674,919,921,912,623,045,543,481,388,
080,086,687,869,702,104,986,799,660,106,298,682,410,189,397,539,137,434,318,
331,025,373,176,161,297,335,873,747,836,998,134,486,466,383,711,783,148,182,
850,724,459,910,429,933,763,740,800,879,244,010,219,961,231,026,436,291,240,
908,145,164,622,635,656,747,170,801,756,667,122,568,681,078,408,149,749,416,
546,398,233,040,004,032,636,018,453,197,583,694,457,800,168,452,380,281,663,
103,165,729,604,715,071,966,664,509,305,659,518,777,472,363,617,283,281,639,
580,118,918,846,020,597,094,953,383,471,046,017,651,362,635,196,930,795,964,
562,174,374,451,235,054,674,480,720,803,685,985,094,184,069,224,132,805,757,
865,798,199,120,602,405,159,000,308,733,901,100,571,423,485,830,172,588,102,
050,051,266,023,071,633,961,081,134,343,596,080,033,777,967,446,102,874,724,
396,168,221,149,877,544,989,305,428,014,368,037,779,114,605,835,110,542,412,
044,140,902,065,304,144,824,811,619,260,351,902,255,405,965,731,515,898,161,
090,946,449,247,729,188,469,315,658,593,491,601,541,206,328,123,433,333,820,
984,533,258,276,234,167,558,817,989,351,841,556,724,963,752,872,219,133,366,
388,113,089,767,829,247,463,796,921,593,747,035,236,692,853,828,452,528,383,
590,446,716,348,626,480,256,808,839,944,658,286,950,302,950,390,755,696,332,
149,724,804,710,450,769,112,926,322,946,150,316,845,399,949,676,551,469,031,
558,267,543,785,840,033,603,745,843,433,696,793,054,481,177,465,461,142,357,
571,277,950,770,833,434,667,123,879,960,170,009,004,063,967,966,339,696,745,
453,127,414,317,803,620,722,565,077,995,054,590,068,699,698,178,175,457,341,
158,243,113,526,538,717,551,999,458,445,123,683,675,850,196,147,002,809,682,
195,685,305,904,744,690,452,825,899,016,190,553,558,506,757,745,973,112,777,
170,421,918,333,086,710,794,581,793,613,410,983,813,757,363,372,420,364,698,
479,698,046,021,451,149,376,688,783,201,190,649,041,395,484,656,958,955,579,
828,301,047,851,742,447,156,132,229,160,973,139,521,079,745,606,554,024,553,
357,390,681,176,525,736,768,878,874,557,056,151,185,613,944,242,206,978,913,
484,220,263,621,260,545,993,216,174,338,924,313,119,497,948,116,658,198,189,
466,662,591,327,143,694,597,049,906,152,952,252,865,712,682,563,452,039,434,
649,653,662,159,726,056,731,306,648,986,891,492,444,047,370,730,050,402,132,
054,603,119,757,762,821,814,910,458,953,079,105,295,192,934,747,855,042,076,
771,804,535,879,403,334,764,971,569,137,295,797,109,084,486,918,022,683,297,
525,759,302,788,100,948,685,483,413,461,197,231,794,393,699,243,373,864,441,
050,884,219,270,098,447,493,907,024,440,058,975,964,331,124,947,350,765,684,
545,853,637,989,461,351,148,786,682,461,308,054,451,792,561,709,566,339,239,
683,997,495,693,840,048,267,315,318,667,217,768,573,585,287,299,499,779,449,
961,439,395,634,735,330,531,218,325,689,315,426,436,761,838,889,732,327,933,
520,269,340,658,438,000,122,920,313,852,303,898,066,313,214,296,068,045,709,
683,893,151,012,718,005,855,116,446,691,948,136,316,749,543,416,957,126,790,
928,490,523,982,513,081,386,264,759,284,292,173,738,277,078,325,202,347,904,
534,105,591,722,598,435,393,807,166,583,818,884,978,699,201,110,238,411,195,
954,125,341,496,960,489,099,894,991,412,783,293,318,534,989,562,961,928,771,
649,682,482,636,844,725,123,357,200,124,927,396,740,240,889,444,472,223,148,
200,587,511,419,425,515,792,758,870,908,051,339,440,123,564,510,924,732,099,
441,207,680,650,689,548,449,615,430,953,111,515,508,127,413,668,361,638,015,
897,433,207,594,294,317,790,200,139,293,638,511,390,431,111,560,111,540,989,
162,732,665,091,335,954,733,415,170,016,160,859,290,637,723,393,285,143,239,
073,127,309,374,698,733,317,239,933,555,578,292,383,298,808,667,562,386,756,
163,230,961,600,216,348,584,565,948,345,315,872,683,893,638,642,649,930,171,
969,400,022,560,451,435,055,380,967,780,824,752,754,217,425,702,507,379,084,
422,477,293,071,554,350,040,284,414,736,459,264,630,929,147,552,277,596,249,
826,578,783,923,820,042,618,983,301,201,971,942,539,032,597,680,697,024,082,
740,928,070,100,105,367,088,284,356,569,053,262,365,256,061,134,646,676,420,
687,324,601,011,155,407,739,746,870,879,441,464,870,579,503,006,533,697,645,
190,587,757,868,706,408,518,469,784,414,820,606,856,626,097,785,050,629,459,
251,832,242,670,227,482,335,671,715,677,854,920,850,404,598,834,989,374,783,
776,075,370,770,752,514,101,209,616,310,185,542,016,451,401,094,195,772,063,
741,023,379,951,894,416,201,735,313,287,400,117,921,861,495,203,116,791,147,
084,801,499,755,044,404,740,608,544,771,650,630,558,310,519,611,690,333,064,
934,868,237,657,278,727,087,931,923,673,490,768,888,168,418,330,143,829,342,
522,408,527,652,590,350,424,410,048,369,941,578,314,843,330,550,160,823,581,
221,134,077,167,275,019,208,245,837,969,998,133,837,460,436,260,728,419,944,
405,534,182,221,757,560,734,447,091,874,370,835,874,669,996,713,005,749,518,
096,295,164,792,792,241,461,047,238,344,700,383,352,558,444,518,512,420,453,
852,285,104,465,907,767,026,022,588,375,553,723,300,010,558,125,416,302,750,
391,690,596,581,371,305,659,315,578,774,646,429,797,299,978,831,338,797,548,
202,547,132,523,564,762,300,013,420,102,704,970,061,786,448,919,326,064,854,
185,758,417,131,081,804,458,141,161,192,091,816,525,748,028,307,737,026,375,
302,067,802,537,021,159,581,734,961,044,802,301,202,903,662,484,602,910,987,
813,318,747,842,181,712,625,953,257,121,579,781,959,624,088,092,935,480,569,
645,899,950,758,361,139,773,800,445,174,448,248,377,211,785,629,602,419,874,
283,356,038,412,880,358,848,330,692,744,281,904,769,686,995,529,116,210,677,
170,697,208,568,396,450,658,334,664,664,877,526,234,610,244,651,734,421,261,
722,293,573,155,205,359,444,284,737,406,197,678,666,802,522,619,066,917,836,
643,073,173,718,943,354,164,518,409,044,834,661,769,970,767,633,816,299,609,
367,338,985,110,494,359,384,553,497,540,609,108,627,771,657,814,429,872,188,
536,991,358,512,614,105,830,520,241,359,880,372,945,700,755,307,154,475,032,
313,626,013,764,781,885,151,774,224,003,371,440,664,832,255,143,965,209,207,
509,909,817,801,278,157,886,768,440,759,333,590,961,255,517,409,451,408,679,
667,075,983,755,204,318,307,966,752,121,121,076,660,858,108,614,920,578,294,
763,753,582,186,788,493,409,826,991,697,696,341,500,984,989,977,280,878,356,
091,522,273,541,050,490,444,230,313,070,902,504,867,842,733,481,652,995,300,
196,050,370,662,066,098,096,004,494,498,141,383,487,956,213,478,847,158,648,
571,474,851,683,591,076,093,062,256,649,150,478,633,015,477,947,906,454,765,
811,706,909,631,768,114,740,387,613,410,740,231,425,996,137,147,752,192,660,
925,032,924,062,129,649,477,178,046,348,031,584,213,894,330,232,295,125,950,
314,536,778,007,507,085,088,771,576,500,291,317,843,299,989,034,385,913,352,
608,031,140,795,045,948,834,185,280,258,255,308,045,703,717,002,070,146,611,
627,054,205,818,656,876,876,840,063,760,867,125,556,538,892,094,562,220,600,
355,850,988,234,141,249,013,871,279,328,142,479,942,341,002,354,528,705,877,
625,832,021,942,869,535,528,595,330,418,779,595,942,076,280,016,300,608,070,
865,572,008,673,614,499,168,984,567,115,915,546,757,469,759,023,499,966,382,
638,246,736,764,891,713,265,193,063,258,906,985,534,943,636,052,063,808,712,
171,989,294,774,883,056,694,776,806,515,656,966,446,396,170,349,023,897,147,
055,893,774,512,898,411,971,293,110,261,525,682,299,426,724,436,639,102,276,
143,303,266,169,746,402,731,731,216,677,781,004,319,593,854,643,930,691,308,
726,160,101,266,760,067,498,499,665,299,148,372,521,045,322,484,185,065,536,
591,827,167,022,960,124,710,227,183,944,829,923,440,620,213,432,966,889,909,
494,187,673,737,694,699,217,535,230,094,495,526,212,493,266,614,774,241,756,
813,420,188,890,151,193,841,177,306,844,358,386,529,651,365,242,694,816,286,
298,502,093,506,705,214,804,972,506,129,370,240,279,017,497,457,929,017,340,
889,485,790,644,125,310,920,432,248,683,881,071,881,295,027,507,823,246,059,
834,664,550,351,237,202,095,761,231,359,858,801,080,642,946,249,599,397,282,
369,456,817,079,589,178,663,335,737,644,935,908,621,007,557,251,869,365,667,
568,780,304,212,771,173,629,513,143,704,156,916,225,916,447,848,197,628,109,
860,191,280,015,861,740,052,925,076,698,207,330,554,277,066,780,878,102,676,
272,979,217,394,621,420,647,688,830,606,188,705,219,826,887,957,698,090,358,
317,077,750,560,169,149,892,809,479,589,954,521,244,660,422,522,952,386,939,
015,683,477,905,054,725,911,955,228,775,023,699,901,953,478,899,203,702,193,
480,433,263,400,249,728,505,837,513,668,889,410,913,964,758,082,759,946,168,
665,416,615,456,701,760,364,216,212,684,131,472,572,111,268,562,979,305,565,
054,653,686,045,160,751,357,323,013,614,635,590,875,857,172,042,302,095,020,
742,835,913,017,384,473,851,480,657,866,359,074,568,105,396,539,008,757,264,
024,236,531,777,374,042,643,955,314,014,026,890,909,551,190,316,707,622,506,
491,082,179,191,440,459,155,552,117,052,414,466,880,247,446,794,964,266,326,
532,890,791,820,043,557,992,122,215,151,137,368,934,498,309,919,868,379,596,
989,099,893,051,333,173,386,464,290,787,748,461,927,595,792,949,160,690,625,
427,573,470,420,425,762,677,334,978,123,945,534,735,038,873,477,260,842,043,
045,346,810,998,373,909,717,179,548,405,794,785,526,430,029,520,421,304,534,
467,662,689,138,458,832,252,191,858,750,722,490,362,729,829,832,515,968,493,
250,967,703,703,387,646,340,303,383,315,620,379,173,098,054,842,633,659,562,
010,901,148,193,442,969,583,192,487,171,986,272,693,515,643,309,995,223,447,
634,450,752,694,653,757,285,403,847,925,293,681,691,038,983,879,631,421,112,
612,606,032,870,056,666,292,110,057,503,203,095,997,073,857,275,775,060,195,
106,739,178,688,344,320,443,956,619,576,405,295,818,432,604,331,045,046,257,
655,613,480,584,128,069,277,455,849,603,748,753,243,690,821,767,814,592,613,
387,098,640,119,529,969,220,137,370,791,237,520,170,068,884,022,334,105,893,
292,453,549,463,480,858,414,742,072,562,002,459,640,435,760,622,705,883,790,
755,292,995,400,963,793,152,704,070,794,624,163,226,526,455,654,576,746,217,
367,948,356,501,021,821,016,814,620,223,818,769,160,385,026,455,003,980,265,
703,511,922,326,983,061,333,851,680,463,407,612,890,202,997,367,396,276,127,
187,698,809,146,391,678,655,973,172,106,935,544,305,896,067,780,663,189,774,
597,205,443,035,732,782,648,112,110,355,409,742,066,006,636,551,562,286,244,
785,641,593,974,267,189,957,154,711,540,777,888,133,647,557,694,799,751,869,
286,077,398,945,788,893,282,640,416,313,089,611,486,385,793,657,286,289,659,
750,320,430,655,639,446,469,596,467,822,204,443,308,833,053,384,842,182,458,
172,470,197,441,501,924,803,672,857,170,206,316,264,153,535,784,188,903,991,
828,344,709,274,550,019,193,010,679,717,445,942,298,769,137,769,621,229,990,
998,599,850,690,885,492,256,379,192,702,296,201,087,924,402,646,353,909,626,
134,294,505,444,706,835,138,616,638,964,811,449,117,818,748,883,609,867,867,
832,359,588,459,849,127,963,905,298,787,152,638,055,645,598,483,369,094,159,
042,315,415,415,831,563,167,780,414,672,936,734,522,602,093,832,159,964,299,
006,555,712,189,796,583,448,332,275,071,002,008,124,814,104,322,190,323,351,
827,995,194,506,858,636,508,252,568,737,064,855,306,026,411,278,850,700,859,
362,776,796,984,427,841,011,202,476,216,732,125,700,615,727,790,283,201,014,
338,581,347,322,151,722,336,656,380,762,172,700,441,636,187,087,782,420,490,
722,297,660,870,685,063,010,291,376,778,910,186,701,307,876,471,875,669,321,
921,096,196,352,933,456,280,558,789,452,927,995,964,671,642,814,448,461,191,
502,664,495,497,059,725,382,472,072,999,676,504,688,527,341,546,923,017,518,
041,170,528,868,026,407,824,023,234,577,023,192,405,631,527,564,677,493,208,
313,932,653,490,004,699,889,089,548,220,379,100,256,367,246,318,217,012,275,
826,020,914,312,629,989,797,460,124,502,875,682,119,925,284,902,204,479,480,
284,826,598,078,452,491,650,940,039,593,833,000,920,583,208,864,783,115,061,
844,893,526,815,428,548,840,819,283,076,681,990,437,951,711,858,656,168,887,
032,786,205,242,655,013,406,496,667,485,023,533,639,631,775,198,554,367,760,
304,240,164,850,439,555,821,211,779,870,536,572,639,754,536,366,986,792,593,
390,459,889,664,765,171,317,337,950,164,305,665,209,355,526,613,431,830,722,
499,701,372,238,962,768,051,221,665,262,724,063,741,862,429,391,075,358,388,
838,346,499,878,697,880,610,086,952,870,837,636,253,181,528,764,847,073,072,
063,929,128,114,817,750,767,016,756,308,147,578,093,410,024,142,498,548,839,
416,945,241,053,069,035,192,248,523,761,971,706,964,220,029,031,951,345,047,
014,055,377,159,211,168,923,107,532,599,686,564,366,184,260,308,374,534,575,
371,409,298,847,136,560,790,939,310,528,679,539,916,552,431,918,881,168,508,
187,945,751,216,282,649,517,522,869,909,090,724,128,706,344,109,293,928,391,
999,346,260,006,601,541,192,353,294,518,410,179,342,492,908,465,487,749,465,
746,008,924,744,659,620,674,257,210,871,059,883,274,072,645,926,076,494,652,
132,389,458,333,884,346,375,354,492,751,195,707,826,198,750,931,160,803,419,
687,988,707,838,917,341,719,564,811,770,887,111,785,823,389,580,990,352,683,
501,413,788,383,486,708,436,825,948,217,783,477,221,091,709,276,392,223,369,
525,487,310,301,789,033,090,398,745,076,023,011,249,729,672,052,042,224,406,
409,698,802,491,468,342,145,298,955,868,703,044,888,517,105,899,642,802,883,
344,580,142,534,974,591,810,552,990,583,947,580,430,940,667,262,114,615,708,
525,504,367,767,140,954,333,309,839,805,901,020,724,475,562,542,700,277,826,
352,268,827,568,562,948,415,721,971,472,264,323,676,934,755,593,353,910,087,
292,699,242,705,074,021,329,011,689,087,855,345,951,234,900,970,739,014,410,
794,522,289,084,860,806,764,352,391,244,308,741,844,632,023,207,561,490,098,
050,996,110,278,029,568,027,978,076,605,806,998,126,230,563,946,967,525,041,
277,607,303,838,806,982,534,552,832,014,604,016,143,088,234,526,625,790,471,
735,377,452,398,266,813,202,816,252,535,130,898,024,385,230,312,830,199,515,
046,103,911,750,426,469,695,892,093,357,012,093,003,963,174,059,770,871,438,
518,364,487,644,256,115,442,194,651,899,573,144,934,516,630,760,430,797,326,
929,802,469,253,435,911,429,876,985,006,106,840,084,809,927,161,979,021,006,
123,733,777,867,827,356,554,285,810,607,115,189,104,632,970,431,611,635,350,
937,747,298,486,495,052,265,726,575,116,404,235,585,966,235,542,604,768,866,
975,511,576,481,380,457,801,138,076,548,491,360,684,291,793,493,569,598,407,
803,024,025,180,331,902,882,878,751,708,548,756,577,570,967,941,909,601,307,
201,579,533,793,205,401,184,362,848,838,256,454,623,755,472,439,077,669,583,
907,242,595,150,998,248,600,983,665,620,518,209,081,605,230,086,479,216,380,
685,546,455,733,511,713,631,118,875,842,446,407,956,315,039,024,649,314,170,
743,467,380,213,640,236,012,308,337,009,157,927,749,777,388,311,303,329,492,
059,804,187,312,216,334,603,922,302,605,004,078,312,121,135,549,124,137,656,
491,529,094,528,477,448,266,733,438,324,848,653,964,036,955,415,911,976,744,
265,793,121,272,438,716,819,993,359,600,508,256,338,461,348,587,633,728,654,
992,177,414,695,271,349,021,990,982,201,279,123,354,537,677,101,474,722,705,
366,430,975,330,794,844,322,172,175,207,784,880,419,807,421,832,500,894,213,
973,441,311,745,892,857,184,151,150,251,440,170,390,175,399,702,733,685,099,
094,933,802,817,435,711,353,364,224,134,694,220,920,899,146,538,973,976,338,
596,989,162,804,130,786,132,936,354,976,349,945,504,746,144,753,922,602,834,
884,384,031,546,105,515,996,799,846,632,226,157,992,206,022,700,368,408,290,
581,635,211,110,792,304,265,390,067,760,347,418,403,174,778,632,515,677,498,
320,877,555,867,867,660,165,875,117,725,078,224,477,466,237,460,130,356,845,
052,629,328,534,622,612,925,158,213,135,515,578,148,037,577,804,438,925,946,
396,334,239,216,200,111,676,453,388,904,783,609,619,483,063,703,598,496,805,
780,105,776,506,536,939,921,757,570,042,381,908,255,923,852,240,199,431,764,
708,479,973,119,112,824,195,244,990,838,729,665,258,464,882,087,434,027,446,
671,948,137,210,376,497,801,348,809,943,172,855,917,848,684,495,005,629,739,
187,397,720,913,225,420,125,264,808,314,385,379,271,210,348,226,750,709,743,
343,548,701,704,598,235,005,399,146,384,519,897,711,497,592,782,179,343,458,
982,395,843,916,513,872,395,120,079,312,930,563,134,540,144,920,004,356,590,
569,798,784,680,335,354,905,926,341,858,089,816,057,210,880,071,991,274,382,
972,562,266,244,701,832,165,297,902,139,404,927,109,501,296,881,700,818,672,
729,223,901,975,163,173,090,121,965,900,319,333,608,332,454,824,108,606,981,
614,175,636,000,206,654,604,759,599,752,023,756,935,543,830,448,209,484,098,
288,640,939,878,205,105,840,415,674,281,900,973,627,145,518,072,190,697,191,
598,437,189,782,631,075,638,200,673,114,233,210,583,747,647,507,007,819,953,
283,363,650,698,261,356,569,292,075,103,926,779,472,586,183,314,996,295,777,
745,781,765,484,228,836,972,201,298,497,309,909,906,353,172,117,359,637,935,
515,648,998,630,108,421,836,899,280,528,964,532,213,460,949,923,609,091,496,
402,960,471,397,577,974,361,446,172,053,159,211,102,323,032,276,606,845,951,
791,779,553,178,565,288,825,035,845,049,568,657,930,216,644,424,923,827,975,
087,800,048,217,718,864,048,190,253,950,419,921,528,484,073,947,877,570,029,
793,872,342,864,593,332,401,874,555,566,034,130,320,856,991,975,469,452,446,
669,850,639,501,868,721,724,303,212,107,467,571,016,006,151,075,522,720,552,
515,890,362,898,785,354,597,404,867,452,502,962,905,222,805,530,408,971,007,
902,252,315,166,103,934,152,565,767,425,724,312,501,239,315,673,952,598,973,
203,551,341,145,305,698,175,220,800,956,436,301,659,400,189,311,590,663,320,
607,913,944,501,725,999,202,476,051,776,921,628,595,487,107,536,234,416,451,
172,893,624,701,588,243,703,309,208,162,467,274,195,799,806,760,574,160,389,
535,422,610,212,922,646,467,223,649,331,643,538,603,942,457,684,123,018,974,
196,097,857,038,607,188,485,896,999,891,148,829,247,490,475,592,611,613,375,
121,222,473,349,603,313,160,567,116,047,947,260,697,577,465,225,542,565,223,
123,163,171,875,589,590,896,457,382,202,043,850,519,522,440,054,058,547,815,
668,912,748,907,830,259,328,240,248,159,815,508,899,680,328,528,039,963,053,
772,218,246,927,228,539,263,643,252,542,326,565,364,159,380,310,459,351,097,
696,623,826,620,548,111,725,193,930,819,797,236,111,214,778,920,303,547,787,
067,348,580,001,670,730,946,179,187,317,841,479,488,608,216,652,493,543,114,
040,711,558,605,506,635,377,439,101,595,538,157,295,533,551,766,778,998,166,
416,234,613,563,775,957,773,413,529,793,977,826,496,003,162,069,628,704,765,
586,944,476,511,448,773,187,267,589,048,454,672,387,751,354,271,781,315,186,
172,071,359,458,837,518,504,977,236,921,424,618,717,511,738,511,906,594,051,
292,457,478,956,696,831,100,168,165,418,129,039,001,692,256,284,113,514,475,
704,613,575,726,697,129,670,701,635,020,628,121,018,189,330,117,431,105,124,
398,174,021,635,887,260,752,606,943,319,077,756,743,858,593,633,449,882,305,
998,200,237,842,273,393,503,971,166,269,134,881,623,295,568,533,498,791,131,
866,557,438,715,745,084,124,119,925,727,801,689,591,575,769,641,512,689,355,
176,736,905,376,934,444,320,845,574,622,993,378,530,027,988,351,724,146,806,
339,197,985,052,474,275,742,109,165,599,945,141,057,927,172,376,521,224,122,
277,377,750,546,785,954,423,482,115,467,933,821,143,318,835,497,095,683,519,
676,151,333,278,448,838,158,600,235,729,612,336,542,052,012,464,173,295,336,
101,127,108,327,523,462,423,043,071,418,304,377,899,046,300,958,667,961,290,
170,401,754,680,661,500,330,929,962,373,621,034,254,725,716,608,901,223,395,
085,641,903,417,562,972,453,641,295,224,155,112,636,015,825,195,215,001,477,
586,618,500,151,763,890,752,360,907,766,141,125,707,690,187,141,639,049,691,
544,900,407,666,559,424,687,041,466,661,674,973,592,020,225,146,400,269,401,
135,360,934,498,357,329,412,143,942,105,812,770,424,546,154,714,280,041,201,
956,557,660,920,914,561,029,924,471,453,128,153,166,886,987,357,617,353,449,
648,865,603,116,924,101,312,830,964,929,548,257,526,713,008,512,654,304,242,
796,264,938,826,029,697,929,701,400,563,319,109,412,366,440,951,695,763,413,
695,750,816,427,397,331,686,203,178,496,761,744,052,572,254,765,281,026,098,
030,508,146,384,824,887,719,846,295,085,018,430,061,733,412,315,861,151,207,
196,101,569,765,320,097,880,421,885,173,374,188,943,244,185,619,609,715,961,
275,476,006,796,699,574,931,034,579,265,599,191,662,917,719,513,818,969,504,
224,766,215,680,893,389,736,413,818,055,889,342,053,099,258,032,126,715,589,
758,340,445,886,602,191,085,244,136,602,841,618,359,128,465,094,595,832,126,
726,562,132,572,267,381,210,796,680,520,549,762,133,935,007,766,777,358,611,
664,761,263,315,175,948,931,396,545,212,071,930,702,537,115,847,306,262,380,
345,409,378,505,699,960,150,894,820,787,189,239,367,668,330,962,205,308,902,
977,812,204,196,569,170,382,551,510,806,812,615,278,146,164,439,311,851,967,
853,182,338,290,552,574,570,211,328,101,546,338,185,202,251,041,546,469,145,
871,191,907,067,855,619,426,446,417,707,702,785,098,402,776,573,788,490,194,
815,600,982,039,261,335,154,547,023,809,786,720,029,555,184,697,918,216,062,
817,800,031,331,076,501,842,339,032,201,521,791,256,697,604,504,576,294,234,
995,045,308,837,605,541,518,587,628,104,667,709,467,577,775,567,084,966,931,
514,651,229,869,737,778,334,912,945,969,507,892,463,950,308,230,759,951,992,
175,571,002,188,177,384,512,565,492,177,817,533,515,179,484,065,880,883,498,
084,242,026,112,571,811,183,166,373,121,842,383,112,252,189,341,764,682,909,
285,473,742,496,543,184,441,657,493,973,043,564,927,222,511,824,313,396,329,
518,608,099,996,122,783,903,649,393,145,392,054,827,365,781,720,581,639,691,
580,476,742,343,026,818,668,632,937,775,380,146,346,291,690,890,617,332,138,
767,950,446,909,692,549,250,352,547,891,665,257,639,221,313,414,821,326,388,
384,802,678,363,893,527,900,357,285,877,061,738,442,765,525,426,448,693,081,
291,884,985,056,258,471,777,898,090,261,978,702,262,439,733,483,384,724,316,
989,312,381,574,645,069,688,789,553,309,635,761,031,658,982,098,584,571,994,
600,645,557,301,548,495,160,797,693,561,070,312,378,553,758,608,825,364,519,
028,186,825,252,419,855,573,881,096,363,726,388,467,761,519,347,608,703,876,
485,167,125,734,954,279,306,131,786,931,874,007,875,125,343,549,749,977,728,
987,582,085,392,377,879,161,470,943,307,602,650,075,777,949,804,684,906,495,
648,678,147,257,797,101,712,553,432,732,480,127,626,953,432,005,583,263,662,
707,232,877,996,089,098,996,026,228,232,946,823,291,524,758,169,792,270,620,
925,958,871,601,704,767,941,997,628,551,069,261,402,636,032,669,715,999,211,
814,476,872,495,417,488,194,343,295,231,854,601,350,827,746,561,628,516,299,
931,768,950,423,796,793,900,259,333,297,825,846,998,434,900,228,736,347,736,
834,382,599,239,742,557,656,585,571,842,946,818,115,189,118,011,047,766,567,
101,846,059,197,605,232,986,145,440,642,200,078,349,770,501,362,800,137,815,
905,872,153,227,098,527,781,032,024,132,316,121,262,809,710,140,960,871,074,
310,690,079,482,827,124,150,692,477,518,131,658,543,386,504,243,699,687,067,
192,149,267,567,155,061,218,168,366,558,000,708,024,128,065,060,884,297,299,
558,266,052,907,135,026,670,442,742,162,602,040,175,543,619,965,594,203,122,
967,464,945,381,717,614,146,541,085,885,128,412,426,289,920,361,235,309,759,
659,917,478,524,496,774,450,292,093,716,888,007,680,288,423,364,096,342,789,
444,815,405,326,236,705,261,530,262,205,500,276,743,926,509,394,421,032,310,
512,469,862,326,467,414,463,511,983,822,020,659,977,494,950,636,455,543,897,
888,216,282,136,541,724,884,369,021,231,509,681,733,094,449,012,098,785,048,
307,624,059,868,683,531,337,231,221,691,572,591,010,733,455,980,201,947,313,
108,660,536,740,432,847,647,383,649,444,638,288,202,739,407,303,577,166,827,
511,775,420,826,153,806,196,822,280,935,179,465,759,993,806,132,334,072,270,
826,455,186,243,163,733,608,623,429,348,080,398,682,727,823,854,589,816,538,
155,468,615,601,676,935,186,651,139,133,400,380,604,493,669,934,619,376,650,
102,434,162,230,761,966,789,766,373,903,656,499,165,395,185,571,334,776,341,
974,368,423,993,855,918,334,197,830,339,281,489,373,739,653,587,460,277,534,
558,490,049,927,393,776,373,157,923,917,135,408,081,625,554,242,874,347,299,
864,297,712,493,587,373,671,739,478,719,434,505,592,297,960,808,316,238,345,
145,470,341,264,494,491,794,793,222,643,814,426,067,021,385,178,779,401,505,
619,248,146,672,177,413,293,882,795,146,424,822,297,131,522,123,463,381,356,
532,540,754,198,904,661,676,413,802,099,830,408,751,990,631,576,585,931,015,
255,695,384,121,859,067,401,108,133,460,555,147,281,522,403,195,204,187,279,
188,286,466,947,170,121,864,571,640,258,909,953,763,804,475,944,019,722,493,
974,512,478,197,476,634,446,502,288,132,742,252,884,161,812,432,374,548,081,
275,677,067,147,409,867,873,079,403,018,867,160,043,015,057,514,963,837,848,
326,226,211,249,208,200,211,946,026,511,273,837,344,087,982,378,983,335,120,
068,586,665,118,383,252,474,878,069,946,744,203,960,096,344,947,660,431,134,
552,968,598,561,784,196,238,500,769,555,718,611,833,199,156,308,703,607,700,
543,084,061,475,898,550,439,978,277,518,215,704,434,315,249,647,447,797,698,
856,230,570,220,623,237,207,382,958,262,191,749,488,078,974,224,245,753,890,
301,104,999,929,146,156,473,325,441,502,485,557,730,178,615,142,129,551,845,
932,902,275,206,509,188,709,994,411,919,923,709,316,832,354,513,415,473,620,
742,010,145,896,871,659,830,891,963,476,503,067,261,182,489,808,069,627,956,
031,087,594,453,047,606,004,959,776,763,336,753,886,899,236,517,918,234,185,
657,495,347,673,743,131,183,735,675,227,630,211,850,112,038,480,871,311,176,
562,615,351,921,672,156,008,734,414,870,207,296,279,958,706,252,985,728,420,
666,891,183,266,150,406,520,766,166,970,353,062,942,106,262,003,930,567,836,
469,485,846,579,444,144,577,490,066,027,933,321,943,810,600,112,921,513,454,
074,607,418,290,232,373,422,227,016,189,660,666,177,164,025,870,711,644,614,
890,033,114,139,526,499,529,795,807,915,593,872,090,484,611,246,992,832,877,
527,162,847,573,838,924,737,452,890,882,150,288,549,820,860,513,068,180,828,
328,925,282,631,382,309,879,043,695,398,734,309,576,799,208,202,375,698,194,
713,160,635,388,962,261,025,908,526,366,394,810,473,519,042,875,650,734,129,
634,391,025,744,618,535,078,711,154,826,687,411,549,356,017,267,726,651,423,
661,413,768,608,302,315,164,475,580,061,489,309,246,677,767,570,569,139,209,
883,082,478,890,635,435,174,225,448,794,894,108,633,952,589,331,376,479,716,
774,310,287,853,254,765,040,071,576,488,370,127,231,580,399,753,640,634,421,
281,062,221,902,474,835,452,193,756,949,180,502,768,405,477,549,730,117,144,
937,014,710,810,012,129,240,453,108,536,894,316,434,079,587,423,727,500,276,
649,108,321,609,047,570,214,808,832,928,384,247,244,605,329,728,788,279,157,
133,029,799,922,092,261,313,058,690,996,910,660,761,878,184,251,737,471,975,
025,541,117,403,674,587,340,286,152,207,869,706,095,258,636,650,772,153,296,
558,972,409,548,326,673,109,134,735,133,020,153,967,261,810,794,532,484,246,
157,371,484,634,733,388,442,673,467,904,498,173,837,382,028,288,380,903,736,
800,459,802,489,115,826,633,882,430,759,487,438,680,114,850,983,335,054,800,
196,129,909,172,874,874,658,335,908,513,397,884,860,322,991,024,809,591,850,
773,014,923,875,859,940,546,068,621,632,975,713,082,302,364,328,805,676,394,
955,784,644,750,825,417,286,227,417,488,047,675,161,001,863,322,015,028,100,
405,948,151,672,435,273,156,232,279,495,324,073,537,980,600,600,170,930,800,
824,365,935,849,794,335,650,266,309,228,546,481,705,958,671,213,767,051,553,
963,012,042,433,370,347,113,644,861,208,800,315,227,833,063,736,041,086,897,
698,980,384,104,619,353,287,479,283,150,565,680,374,386,982,900,324,052,558,
052,252,044,257,162,891,381,349,134,820,967,751,587,632,204,947,093,868,732,
824,581,336,933,406,150,467,323,144,240,396,877,962,791,340,022,521,004,619,
443,646,872,913,732,762,450,252,036,788,021,443,326,325,929,205,339,947,633,
943,135,672,487,986,223,660,367,344,880,889,106,477,177,816,499,634,610,260,
775,258,170,880,364,825,320,726,349,889,312,685,961,572,472,889,309,204,307,
342,417,177,318,772,479,931,563,729,976,195,829,166,577,982,254,816,511,433,
180,744,881,473,302,726,720,206,043,759,731,907,629,729,891,971,903,779,548,
310,303,852,527,707,936,075,003,255,245,053,889,213,866,605,134,468,540,396,
883,606,977,823,001,621,200,429,348,562,557,745,499,777,715,833,629,705,678,
495,766,594,902,917,988,169,721,715,763,368,441,254,146,587,230,188,443,360,
020,909,927,605,348,234,695,920,191,260,173,343,533,036,289,267,948,219,726,
412,358,870,238,573,970,688,051,504,303,701,331,783,339,778,811,670,887,596,
992,614,423,340,786,605,965,008,903,666,696,250,447,431,000,959,327,915,413,
098,995,348,173,185,008,045,562,110,717,078,044,225,943,898,343,721,181,390,
717,259,755,980,129,631,651,481,874,406,119,110,949,729,657,682,536,732,325,
402,541,645,990,032,109,850,220,664,879,203,670,783,899,108,320,787,339,397,
928,294,559,371,899,945,764,484,207,960,010,460,803,046,323,646,592,983,025,
779,310,283,246,892,264,648,277,250,544,779,775,116,224,523,104,256,493,505,
581,931,125,534,263,573,504,035,111,394,916,405,519,247,083,139,243,350,738,
481,865,209,864,429,453,500,087,287,812,555,513,960,278,713,663,642,930,085,
280,123,727,734,832,209,816,758,555,710,747,429,152,017,509,653,089,911,680,
227,939,280,165,019,557,385,928,200,506,079,853,684,786,705,721,333,292,326,
899,155,355,603,645,565,729,503,456,203,975,336,371,014,050,409,929,392,691,
980,248,019,455,160,353,856,793,728,414,721,388,380,578,047,500,833,743,889,
910,098,784,325,344,018,295,070,102,929,289,729,989,809,503,668,903,857,172,
017,091,839,007,257,478,242,385,623,630,220,961,567,259,409,807,158,336,315,
910,819,411,855,573,763,600,893,086,125,158,320,570,825,421,419,186,344,985,
747,479,341,896,690,998,223,405,352,091,773,813,199,943,128,698,150,633,600,
644,042,972,123,104,843,349,021,669,578,704,014,463,034,860,549,092,762,124,
044,743,638,469,975,424,486,608,320,421,270,003,299,523,695,773,474,090,738,
894,173,544,097,725,411,038,664,538,828,143,909,958,157,164,059,929,344,511,
204,621,337,213,686,260,564,269,737,250,129,592,856,956,342,270,768,399,489,
382,407,520,279,244,140,594,095,281,038,143,157,257,823,425,454,358,571,543,
851,596,636,021,774,945,725,646,717,465,784,041,362,305,626,314,684,441,482,
239,979,664,016,259,129,557,908,880,099,660,920,793,035,733,789,678,979,020,
101,393,226,080,950,680,849,096,221,222,073,773,732,959,399,250,803,120,762,
813,645,587,854,650,176,117,559,443,457,254,633,614,530,143,916,676,123,588,
591,374,995,417,124,457,987,150,750,417,659,812,399,246,102,120,773,000,533,
390,821,760,520,223,272,240,565,754,034,315,222,121,893,599,329,782,800,845,
445,607,810,852,815,461,685,932,630,744,172,658,362,713,629,993,232,404,297,
539,386,005,787,842,093,737,844,407,029,141,645,601,965,600,324,950,054,229,
914,956,550,069,535,610,912,480,292,837,075,798,984,340,996,801,284,754,959,
293,379,251,988,057,374,314,138,457,242,390,241,073,688,457,684,796,218,905,
683,769,271,412,697,747,914,061,942,985,742,776,710,349,531,850,690,019,392,
518,942,287,125,059,270,532,577,109,112,635,203,404,681,554,704,386,467,440,
630,874,531,361,386,074,440,695,173,329,638,501,655,075,255,485,523,579,081,
533,644,500,252,081,442,095,768,094,869,666,942,104,492,847,907,386,362,591,
530,460,132,582,966,248,397,839,775,831,820,202,851,419,134,225,435,220,825,
453,459,849,621,008,715,564,291,154,492,642,327,669,447,292,923,135,235,603,
601,259,237,966,138,824,341,255,777,164,395,448,719,120,070,937,627,180,475,
180,050,689,940,334,481,793,693,520,421,155,944,935,434,035,556,542,741,708,
582,403,421,157,680,867,106,243,741,407,661,539,781,650,405,839,873,907,879,
749,297,561,578,822,023,644,834,151,647,272,300,763,322,612,319,298,843,214,
983,016,927,637,227,266,430,416,503,723,385,792,557,369,578,282,227,481,171,
959,131,365,289,691,423,491,765,166,551,378,379,043,955,853,825,423,589,865,
896,254,943,577,613,466,061,965,085,954,813,001,085,085,804,271,885,153,490,
830,385,703,884,648,367,071,955,454,697,185,349,217,448,631,362,802,276,843,
112,800,175,486,784,610,696,758,747,023,422,127,424,027,907,670,592,713,665,
928,026,107,586,366,634,801,680,770,778,938,217,066,334,049,538,629,240,889,
014,695,587,434,745,125,998,675,544,157,279,438,869,045,736,242,324,878,326,
036,505,955,024,607,718,145,659,640,049,281,392,724,455,616,958,745,987,043,
606,531,760,463,738,728,327,832,512,184,409,277,326,338,610,246,070,978,990,
762,112,377,079,370,138,320,988,371,940,736,923,050,063,260,277,399,061,550,
810,894,878,168,441,071,977,440,882,130,760,688,777,231,758,729,306,152,059,
613,050,086,376,960,009,980,983,284,560,211,674,090,989,069,879,406,537,227,
866,374,579,270,237,807,965,817,158,377,457,333,620,644,069,945,375,618,939,
976,708,993,412,040,876,710,417,913,971,299,501,024,478,848,126,683,921,477,
604,542,704,485,872,904,774,751,907,201,265,070,055,736,770,133,953,457,363,
415,175,865,264,746,247,709,439,857,085,834,671,259,410,898,859,149,227,060,
244,049,804,168,335,165,703,922,990,969,214,788,526,674,531,795,041,750,759,
080,952,274,428,559,219,491,357,430,820,052,785,350,619,094,931,614,742,019,
417,987,450,167,196,057,025,614,959,017,630,245,130,014,421,484,821,269,234,
460,237,811,105,633,460,954,370,580,468,347,347,777,994,552,059,993,004,177,
729,425,666,633,169,510,159,845,234,630,125,373,908,736,473,344,249,718,386,
296,624,531,552,388,728,388,786,132,807,891,269,122,224,184,430,476,087,056,
003,133,655,112,158,946,564,665,543,173,939,641,854,053,336,234,104,794,518,
632,631,736,162,994,412,717,775,373,804,704,267,767,652,813,732,917,493,206,
510,731,335,524,144,103,347,533,394,248,487,503,337,133,845,986,093,720,469,
623,015,167,905,886,546,533,497,658,661,282,063,605,170,622,949,747,583,994,
967,047,913,913,605,019,635,021,536,583,874,459,697,587,244,557,548,849,100,
197,323,565,560,438,525,476,810,858,630,338,963,237,726,120,093,545,234,476,
782,583,990,591,931,567,890,176,410,367,313,467,179,572,685,002,113,083,118,
647,246,973,175,529,600,018,099,421,894,336,670,352,108,897,124,120,867,080,
445,160,097,312,324,088,304,194,443,200,309,326,307,070,280,739,552,343,299,
331,924,915,861,691,671,213,016,773,527,465,573,706,384,342,925,161,426,647,
206,859,798,726,752,929,165,364,793,498,740,486,145,732,038,686,194,948,104,
183,319,870,094,721,601,657,697,221,068,964,785,753,959,505,914,786,932,271,
537,304,568,193,052,461,413,549,087,364,914,212,061,264,823,131,228,102,723,
710,619,056,576,349,995,784,975,939,868,456,507,749,032,101,874,738,455,526,
319,198,973,093,579,830,919,390,468,433,468,762,433,521,824,961,045,443,256,
316,822,960,199,660,444,448,355,051,937,852,081,600,033,928,047,486,024,047,
996,288,952,076,882,519,943,603,804,160,914,479,484,316,150,895,333,850,349,
813,315,764,483,349,334,718,431,968,232,164,784,694,801,340,199,849,192,489,
194,306,108,191,030,551,397,452,620,068,307,471,069,981,178,841,001,051,864,
006,423,634,617,820,741,055,351,783,937,545,778,997,889,744,170,182,860,149,
651,089,338,743,880,682,308,819,579,679,398,112,136,899,472,791,170,303,305,
205,149,965,310,775,205,480,598,812,600,542,582,595,127,918,341,214,554,154,
386,145,362,572,458,283,123,323,698,163,632,502,626,394,185,166,186,431,232,
994,632,725,990,456,158,317,926,943,416,216,836,310,932,683,998,371,667,849,
846,452,387,883,933,095,624,518,389,089,942,393,027,983,517,057,571,057,256,
754,178,070,768,971,070,388,116,489,283,285,520,993,704,264,175,625,301,217,
403,817,323,582,290,523,167,797,042,888,376,630,355,278,445,285,746,695,102,
632,031,113,050,489,201,428,904,696,771,057,254,511,823,784,756,647,078,554,
089,569,415,526,881,527,658,144,882,798,045,638,474,635,526,542,766,303,734,
621,604,911,577,447,505,819,022,887,196,448,843,237,309,224,818,655,880,465,
189,805,687,795,467,612,441,890,108,680,136,657,620,889,977,143,103,871,593,
274,931,709,336,506,087,287,359,172,131,603,880,141,420,592,444,717,582,141,
556,558,615,119,416,696,757,351,149,990,133,140,133,254,892,896,149,631,263,
346,419,444,478,805,046,018,711,479,403,381,904,987,229,539,196,266,052,456,
167,311,979,458,862,855,060,366,146,903,894,216,091,142,375,321,306,452,831,
898,282,880,680,073,778,185,692,133,030,636,784,778,549,101,723,627,956,266,
091,873,743,946,693,252,599,087,512,664,819,807,668,560,532,352,430,446,763,
452,661,330,747,147,686,361,714,726,951,388,652,418,465,091,180,677,996,076,
382,055,213,554,655,962,144,821,297,909,297,445,241,719,024,020,872,988,589,
600,188,628,243,164,135,189,880,226,426,228,505,287,781,063,383,525,417,439,
771,566,831,725,775,327,797,240,143,600,524,357,794,581,932,677,407,900,199,
419,119,369,509,299,290,840,539,802,942,505,189,493,927,002,602,266,959,994,
576,663,435,516,945,412,376,971,168,927,223,962,110,253,017,418,802,653,190,
217,945,662,508,870,488,957,079,425,796,932,657,371,051,790,755,590,315,550,
592,132,794,635,137,305,540,942,068,416,167,449,158,258,916,095,266,497,792,
735,405,263,860,806,377,371,585,236,089,500,364,039,580,087,129,212,158,138,
644,703,941,169,138,439,523,213,096,217,783,836,854,701,729,898,580,402,890,
574,858,239,990,403,946,221,554,959,628,318,202,251,283,449,107,355,489,658,
079,018,739,918,586,088,733,754,777,225,562,338,539,142,073,626,847,131,520,
927,186,354,987,168,871,215,278,957,201,807,051,437,220,434,511,099,975,253,
262,570,392,776,150,913,007,892,573,516,094,992,678,582,546,250,374,182,301,
678,331,363,071,473,786,516,238,434,896,930,570,175,828,851,109,807,166,225,
887,528,844,032,205,009,022,410,218,006,622,567,700,793,624,017,547,173,416,
750,429,413,434,683,234,860,715,164,883,401,706,402,976,166,259,486,605,770,
040,742,750,432,683,943,958,074,381,381,763,732,622,378,881,375,249,304,113,
314,539,388,695,369,007,079,255,798,554,123,675,255,380,969,287,800,942,159,
150,388,869,960,913,602,826,094,016,713,864,079,809,057,805,603,650,999,806,
297,957,570,010,202,222,826,625,479,124,586,735,977,056,464,218,740,819,334,
918,742,329,043,525,866,319,196,680,449,331,925,442,833,736,976,252,996,670,
182,783,812,548,296,495,453,548,290,736,175,270,328,152,192,574,426,290,140,
709,228,211,897,742,128,154,694,414,939,216,718,517,208,061,206,869,396,075,
309,658,384,949,830,273,479,678,025,760,883,368,887,052,847,721,511,761,042,
083,748,033,230,181,287,265,763,074,355,440,636,647,068,355,631,306,189,120,
146,223,109,225,191,364,692,117,001,162,745,004,154,696,542,308,222,008,142,
990,536,626,403,282,590,059,056,554,877,534,619,920,454,133,901,669,740,068,
533,530,041,127,496,040,869,163,409,648,601,423,150,567,649,174,677,392,477,
355,048,157,893,324,485,157,798,423,924,194,304,473,979,820,877,141,307,225,
840,031,649,032,353,723,921,113,817,759,467,989,386,637,234,064,304,915,899,
783,013,156,694,901,102,656,589,963,694,196,506,605,837,278,488,228,166,430,
763,638,300,051,179,288,491,474,765,300,491,473,281,762,446,453,446,325,660,
597,945,986,823,724,523,762,841,528,314,580,418,521,992,890,086,591,119,234,
450,588,473,098,199,036,687,028,016,931,050,211,631,750,809,085,153,499,469,
274,036,691,540,614,404,474,828,862,489,448,917,835,911,146,891,286,762,544,
607,521,906,972,435,700,846,256,119,098,886,438,511,668,069,120,105,627,794,
198,411,272,710,506,154,872,909,887,081,473,262,756,416,508,898,152,504,229,
197,071,530,013,316,250,879,838,601,552,392,586,366,575,958,848,049,722,105,
951,315,894,171,550,908,761,567,562,041,054,571,388,337,657,830,717,663,330,
000,695,112,131,458,261,419,318,491,016,585,299,328,611,197,582,495,097,055,
173,729,443,151,030,612,227,153,169,370,590,630,566,776,882,037,329,401,081,
971,271,492,908,064,817,869,027,035,291,363,892,243,870,983,710,348,011,041,
588,613,102,236,162,079,691,568,603,993,035,227,884,843,347,706,029,579,234,
135,198,262,002,277,645,785,261,599,148,486,002,865,373,375,427,652,419,942,
680,238,772,071,004,845,194,746,853,220,840,350,256,266,252,297,633,735,677,
934,242,363,411,384,368,786,658,990,264,977,158,614,464,791,289,869,477,118,
480,520,735,858,453,715,277,396,037,663,930,604,756,924,157,247,901,001,737,
723,920,232,245,950,912,452,621,940,583,016,238,484,461,492,916,188,522,584,
475,980,267,868,994,165,635,829,933,924,897,544,122,527,482,673,429,144,400,
553,416,837,433,847,084,420,589,663,662,726,981,892,111,794,331,387,158,788,
961,056,134,099,923,928,837,688,029,789,400,924,267,231,767,267,813,932,713,
042,640,817,389,941,478,405,105,773,918,018,221,126,724,146,006,884,500,352,
199,624,875,772,413,816,278,448,801,352,535,577,426,433,425,122,488,772,687,
644,970,143,346,186,618,677,465,330,068,119,295,883,010,520,003,334,660,365,
587,694,385,392,595,270,588,696,150,499,253,753,260,027,647,193,075,786,860,
335,595,164,680,431,518,521,705,838,124,508,545,149,797,633,529,620,469,512,
846,661,750,916,915,938,676,844,682,784,321,626,067,123,354,903,442,087,471,
851,173,143,638,934,495,744,377,256,411,780,381,414,390,888,896,076,388,015,
695,795,433,284,439,000,126,685,252,819,426,474,762,125,104,844,530,359,434,
364,146,282,543,760,373,533,744,053,276,514,826,688,105,176,140,001,677,501,
794,869,798,735,042,782,424,939,866,773,445,824,667,003,907,298,004,590,022,
001,418,086,000,453,534,628,173,788,960,250,283,283,677,617,611,820,425,001,
866,987,712,456,689,421,740,734,705,029,402,471,367,974,891,465,863,709,039,
409,527,665,445,755,230,285,183,493,345,086,050,758,784,146,271,177,536,339,
109,716,978,601,143,088,529,364,580,472,456,819,744,309,510,761,133,423,645,
586,599,139,922,758,198,814,578,156,533,625,505,426,451,939,066,678,178,352,
312,598,779,449,602,315,193,766,977,926,631,310,291,248,049,889,158,047,780,
361,986,109,820,117,249,003,983,365,153,480,332,961,176,485,969,656,798,532,
168,673,032,362,553,857,604,012,413,846,688,929,223,072,853,751,611,146,448,
995,504,288,992,149,240,227,943,050,530,448,174,620,544,052,813,426,278,031,
312,565,464,311,556,076,608,217,707,594,040,027,101,405,899,853,803,306,364,
087,025,077,360,333,323,703,443,202,295,839,244,301,742,717,262,319,057,230,
515,979,403,249,661,183,096,571,265,055,379,087,449,490,181,229,118,833,986,
611,893,991,271,443,101,556,093,630,780,694,304,015,517,737,399,554,430,399,
711,769,654,622,286,389,021,268,519,603,307,061,219,159,261,346,510,125,270,
046,084,695,593,397,510,342,768,521,774,542,404,346,233,086,247,836,485,218,
760,493,393,456,581,719,024,414,588,574,936,554,920,050,937,433,052,405,783,
623,643,252,825,643,852,918,869,357,317,768,037,752,749,154,909,367,821,679,
569,081,859,493,807,066,674,238,081,926,839,131,468,579,199,133,896,426,685,
014,439,285,875,530,385,123,802,006,670,996,622,325,166,329,755,772,366,363,
435,341,418,249,753,594,922,326,033,382,358,301,339,430,758,389,585,511,802,
900,657,610,512,284,848,900,030,534,412,556,525,155,837,691,314,265,636,747,
545,070,303,977,224,852,132,321,325,892,893,074,999,130,889,649,178,326,063,
663,980,127,274,936,420,818,964,869,183,144,019,845,359,228,435,190,470,578,
426,567,411,143,215,118,404,582,341,756,660,767,842,602,924,800,083,151,831,
082,321,886,106,694,439,295,905,899,782,933,597,369,415,503,815,492,031,347,
300,085,216,920,429,961,961,101,845,072,586,083,392,234,428,779,296,088,574,
122,618,381,102,419,003,013,316,938,249,194,335,051,975,959,855,075,659,630,
589,700,015,542,713,602,511,458,298,861,651,067,165,567,079,509,243,156,726,
478,278,951,913,295,868,673,928,671,191,916,808,288,046,921,997,079,439,789,
052,439,700,112,661,471,634,118,021,762,262,438,721,356,281,988,801,465,876,
899,639,117,150,171,176,543,515,645,157,787,145,518,087,930,622,578,094,828,
195,876,397,031,219,416,544,081,471,894,937,059,181,447,511,215,309,929,252,
350,290,878,649,295,317,600,401,160,351,047,206,685,838,588,388,976,401,818,
445,945,883,280,962,923,622,871,814,529,560,803,175,181,830,232,450,495,419,
699,071,193,000,697,643,059,843,141,805,661,397,156,661,821,421,548,163,691,
057,591,781,741,269,957,823,880,678,673,538,928,830,051,510,479,843,968,565,
002,430,962,548,894,805,818,230,516,412,973,073,027,418,413,263,818,710,180,
888,772,128,757,222,215,660,248,082,649,697,234,096,961,107,343,930,337,346,
097,781,366,113,854,710,020,326,768,703,589,798,964,353,805,444,986,574,395,
425,426,003,555,551,544,414,125,706,315,185,557,642,986,503,671,898,832,174,
679,256,580,902,905,672,975,429,126,733,032,184,821,857,916,025,650,013,632,
707,093,317,547,573,315,416,477,868,884,463,840,663,994,157,740,187,836,953,
117,758,177,085,091,258,299,697,199,094,051,495,258,668,965,304,259,287,304,
798,347,858,359,152,368,389,002,234,661,235,908,731,695,107,938,730,572,444,
932,115,501,480,853,132,665,178,316,666,025,826,101,675,084,587,553,384,624,
678,137,215,888,227,078,633,235,785,499,405,867,993,802,888,456,674,295,691,
798,633,616,778,389,073,671,058,033,487,940,133,077,796,758,051,922,090,576,
577,358,941,910,717,843,757,476,340,936,678,048,754,184,456,010,645,145,145,
209,153,130,267,135,718,754,831,665,145,577,247,517,635,132,074,252,841,262,
961,999,385,538,129,331,244,778,684,544,799,864,271,906,398,296,960,842,001,
885,334,402,836,917,075,849,107,859,555,036,780,869,704,524,500,345,340,263,
513,254,836,551,067,364,100,394,637,197,504,904,810,778,614,240,573,727,106,
703,659,727,788,412,795,663,924,792,798,781,017,045,987,109,141,292,646,414,
717,712,890,323,390,767,928,568,313,259,335,833,236,842,708,740,674,469,887,
870,157,664,078,219,520,089,929,462,184,388,087,513,978,412,963,382,738,483,
005,716,672,117,660,674,828,332,750,655,329,612,426,990,545,948,246,344,640,
970,241,970,856,188,934,938,781,150,588,905,306,776,826,913,852,475,493,955,
670,430,802,298,497,807,426,405,210,695,700,002,341,899,939,797,871,083,084,
706,679,336,473,628,973,358,072,175,025,295,558,792,066,228,110,423,108,672,
314,506,645,984,909,511,434,481,100,174,210,142,660,777,104,645,087,912,687,
493,586,091,979,880,127,777,714,474,213,095,934,703,821,390,424,764,428,403,
155,999,943,620,687,443,353,439,396,740,745,932,295,614,120,332,142,431,678,
566,837,784,724,612,148,703,559,620,709,222,228,840,504,007,762,323,713,309,
797,909,860,501,397,581,344,690,942,316,513,553,910,918,769,351,186,603,312,
395,835,099,101,975,628,788,712,696,960,527,389,775,136,041,962,099,241,128,
160,244,590,861,754,033,870,178,942,236,391,075,585,528,680,868,257,417,369,
938,256,734,392,237,597,465,211,143,511,238,497,586,839,273,581,699,774,537,
795,750,412,318,257,414,740,803,675,029,717,288,297,038,702,901,561,595,336,
872,329,170,471,327,202,972,226,204,988,394,755,190,084,745,365,119,148,069,
008,337,242,325,355,692,229,381,880,415,030,390,208,733,379,448,349,566,515,
135,379,269,244,018,278,920,542,827,772,902,070,673,311,392,916,295,501,490,
350,243,102,758,115,028,419,802,311,886,568,686,438,244,992,563,322,822,639,
898,717,497,019,247,420,198,584,678,864,181,657,606,998,639,861,426,145,986,
620,786,920,770,276,322,412,305,490,587,691,949,329,552,504,133,133,609,987,
216,497,519,467,901,904,922,072,371,830,342,579,098,534,257,078,067,133,972,
665,927,808,919,827,789,471,208,976,716,841,601,289,097,120,116,510,485,286,
041,817,357,837,798,709,389,256,778,014,400,116,754,845,014,308,404,377,834,
695,529,434,942,185,905,881,811,438,115,092,431,757,272,183,751,019,531,851,
137,849,405,689,886,400,632,364,186,376,240,511,577,287,668,928,384,219,972,
851,704,108,871,164,895,195,791,059,609,050,629,141,374,412,326,071,755,750,
273,724,158,523,393,188,695,724,398,761,162,892,624,333,178,180,204,884,973,
932,266,145,242,476,568,262,577,132,329,771,688,160,234,225,565,456,191,882,
056,079,101,171,259,074,930,854,128,050,223,587,580,933,305,206,327,715,942,
000,937,892,815,581,096,100,305,956,712,187,029,253,993,235,811,451,273,840,
454,230,053,405,247,776,858,025,854,005,503,003,595,520,619,695,310,425,822,
865,303,246,606,197,118,873,393,856,856,173,716,193,717,658,502,338,105,125,
676,208,175,038,758,576,008,602,808,806,071,849,597,058,784,445,822,395,643,
766,242,528,305,359,393,886,273,812,767,862,064,613,357,563,770,763,007,187,
881,784,843,174,148,375,079,379,968,239,417,741,403,342,849,644,054,336,846,
476,528,767,849,235,073,945,618,571,967,854,780,827,375,297,629,086,545,891,
988,503,636,294,131,169,303,185,558,195,667,513,747,925,868,200,619,816,341,
439,432,632,300,625,314,751,667,030,807,978,322,635,769,031,333,842,308,232,
127,244,160,965,060,583,506,619,606,734,115,411,118,713,282,067,478,294,962,
466,571,632,166,913,524,336,860,412,888,896,562,690,895,829,484,649,352,942,
187,453,529,258,580,291,533,499,264,085,249,550,686,785,520,533,975,453,003,
360,103,445,907,390,855,075,413,693,756,944,155,990,416,998,909,948,623,931,
667,336,072,646,988,866,904,133,716,711,284,863,933,087,136,710,972,105,130,
535,396,374,042,785,404,786,751,387,582,353,982,348,370,222,555,120,207,629,
699,403,668,977,644,685,992,450,117,486,312,455,667,088,409,722,279,577,841,
542,827,596,032,069,717,317,360,661,494,415,529,334,528,766,451,854,818,652,
830,204,879,960,413,965,559,240,682,498,717,983,881,321,156,589,285,277,314,
924,724,320,768,205,895,997,004,597,632,454,283,144,892,709,270,497,487,766,
812,072,719,151,527,888,161,113,408,828,475,280,322,555,519,236,870,967,373,
042,179,814,689,851,253,295,696,526,018,160,884,510,885,033,406,770,109,723,
473,170,939,608,052,132,381,855,771,461,376,420,621,955,699,100,652,798,365,
478,899,545,741,665,156,594,438,778,483,292,839,444,430,878,796,479,922,612,
515,061,352,450,160,446,837,048,063,940,941,267,020,653,293,576,735,876,146,
273,989,335,992,644,878,146,827,108,852,423,718,105,427,742,378,031,195,315,
710,904,690,572,084,826,151,627,806,042,444,845,351,138,136,511,097,429,641,
404,510,265,651,308,226,721,577,691,309,812,209,899,523,682,724,668,093,710,
384,298,186,877,310,855,276,983,768,407,054,839,724,988,871,038,946,645,697,
312,090,409,989,417,600,601,195,381,089,819,782,708,667,436,186,029,623,795,
495,589,615,594,198,356,904,578,640,113,327,866,035,029,356,173,355,474,071,
804,032,579,565,067,878,702,974,098,198,996,331,914,486,866,664,969,525,569,
045,462,968,973,091,974,280,556,735,710,376,967,688,037,843,816,748,831,142,
312,585,599,068,860,125,259,480,965,084,127,481,294,138,668,254,105,646,492,
119,154,431,997,732,731,044,785,317,741,914,081,520,239,994,979,555,011,457,
128,749,910,948,032,570,004,170,675,676,618,527,769,520,186,859,886,426,741,
160,255,363,385,984,934,032,579,196,055,044,232,096,802,908,616,905,258,096,
479,575,959,471,418,699,790,432,505,290,504,187,504,271,945,950,930,533,247,
127,980,533,516,594,554,127,937,251,732,741,290,634,648,912,784,713,034,919,
703,104,258,951,955,116,102,970,497,071,705,822,124,408,293,513,701,607,685,
379,662,615,640,571,987,894,510,263,024,290,682,473,146,790,710,046,530,108,
846,250,146,972,956,811,879,474,362,402,090,337,694,819,798,092,425,207,194,
301,022,889,178,802,612,649,908,480,224,990,386,877,978,635,478,544,178,093,
142,281,460,200,527,665,823,290,313,247,091,926,165,288,136,165,382,904,694,
575,094,404,328,904,567,581,062,828,291,756,158,345,859,133,705,509,222,192,
002,722,574,107,641,264,403,798,483,601,421,706,199,138,303,604,877,886,136,
681,279,036,998,182,677,774,313,493,466,927,773,885,859,277,087,310,389,522,
173,557,459,811,222,774,710,199,043,489,196,476,395,835,295,286,856,201,687,
854,218,402,744,548,326,221,306,508,753,001,236,637,718,399,816,237,905,081,
032,727,478,476,018,444,114,359,180,635,550,504,981,452,959,913,243,911,419,
506,964,572,585,073,622,242,696,156,691,122,005,840,998,576,262,542,277,388,
322,857,466,756,808,787,291,528,491,466,661,613,599,915,658,636,997,624,853,
711,674,388,800,519,775,333,587,138,144,528,002,827,498,469,060,451,525,949,
466,664,163,109,019,973,728,355,147,973,103,969,420,961,115,597,628,797,918,
157,990,169,592,850,591,345,438,896,367,661,980,516,130,637,174,955,382,449,
243,729,819,172,504,304,254,364,257,711,500,253,155,432,298,537,756,215,634,
474,222,637,368,541,060,099,485,059,356,473,375,120,156,907,138,232,713,106,
279,686,295,192,145,273,453,143,123,257,839,903,704,307,875,323,587,283,531,
329,627,138,766,668,992,309,223,244,122,618,210,468,796,724,562,387,407,702,
141,154,801,735,654,829,017,101,505,969,214,153,480,191,877,705,842,753,345,
310,755,995,203,180,865,404,910,165,849,605,125,837,202,875,308,321,575,754,
085,155,389,116,908,679,512,831,023,915,593,375,793,825,100,614,014,831,561,
517,227,515,551,399,652,318,045,806,478,163,602,542,222,645,682,496,702,143,
973,814,200,047,224,076,844,043,982,557,228,237,719,867,834,779,964,115,671,
541,931,385,062,852,917,092,807,367,687,127,451,933,966,905,359,859,068,726,
633,023,919,176,619,132,550,787,018,505,042,902,079,421,293,888,677,198,272,
373,930,208,776,397,365,482,591,429,494,271,524,342,045,072,348,037,410,367,
771,042,599,327,702,246,261,006,265,095,722,084,585,562,776,716,971,709,559,
206,070,936,607,462,289,178,351,072,388,950,987,599,801,040,683,537,529,831,
436,119,085,625,994,079,081,729,967,417,838,102,303,398,724,499,955,583,196,
210,031,293,933,766,523,557,152,417,867,824,191,891,061,956,641,326,627,967,
170,777,248,986,753,451,764,453,274,179,266,302,922,908,214,164,609,297,554,
850,018,592,571,574,112,306,035,483,080,043,907,606,664,992,990,960,617,162,
170,708,264,526,787,454,205,095,881,560,717,043,294,816,880,835,355,961,770,
813,138,094,519,098,031,583,285,024,122,593,625,030,788,375,115,319,294,663,
478,820,006,802,926,566,846,442,625,651,595,272,353,373,276,302,249,826,617,
103,440,319,794,312,646,907,692,081,327,639,285,309,077,363,836,278,815,991,
034,668,215,669,681,957,567,242,732,968,645,648,661,659,071,717,353,002,649,
764,088,103,478,072,613,410,463,953,793,606,651,727,875,435,656,776,005,085,
476,884,613,923,903,786,494,136,089,206,760,723,246,348,961,019,377,654,078,
375,663,869,440,926,716,971,183,163,756,005,539,879,142,619,617,728,665,644,
824,015,384,459,738,621,438,104,807,150,875,817,355,722,147,058,071,177,508,
032,166,453,339,533,859,350,971,607,269,191,922,832,227,636,419,351,977,062,
253,347,882,824,658,415,405,514,378,806,349,570,303,852,601,549,713,148,766,
225,669,984,846,064,000,086,112,841,355,021,993,001,383,330,088,703,856,946,
667,044,577,623,585,507,920,463,536,261,560,296,532,112,310,566,140,698,770,
080,457,360,431,825,949,712,020,359,709,781,169,757,640,339,459,027,752,327,
856,692,912,444,620,994,565,311,427,211,736,601,750,984,083,504,387,645,667,
312,259,910,226,762,891,875,781,855,697,515,176,150,002,279,531,725,804,777,
828,363,791,589,232,683,192,152,319,910,615,098,882,076,935,634,731,269,429,
290,322,882,545,327,584,784,512,479,784,776,034,135,353,113,571,410,728,175,
038,753,279,477,273,100,591,921,618,801,748,358,985,245,534,639,512,739,916,
417,675,821,419,252,182,661,864,304,078,557,026,320,070,299,501,216,356,225,
187,329,310,688,986,190,677,723,123,668,176,630,533,180,494,329,814,990,246,
699,821,430,254,848,740,260,746,104,710,424,994,215,196,991,022,263,425,691,
504,890,417,243,169,787,086,552,013,210,109,305,947,346,006,289,524,922,106,
211,346,127,119,231,028,115,467,929,432,020,238,096,380,693,035,725,483,795,
464,729,032,361,646,643,880,157,655,045,939,729,683,560,278,816,742,225,323,
080,086,788,597,278,063,761,956,705,980,239,582,070,016,671,928,031,298,887,
338,713,478,200,768,124,470,132,415,211,370,623,053,955,258,908,218,926,066,
129,563,662,455,881,090,534,950,072,875,064,440,579,778,695,326,197,494,895,
715,632,573,732,192,960,868,639,667,978,483,742,254,919,932,154,226,990,135,
611,115,293,183,614,900,654,743,076,374,309,427,279,949,372,804,567,056,301,
263,897,742,840,239,171,421,054,551,687,689,302,327,526,884,436,563,388,345,
424,749,282,452,971,112,625,296,593,851,688,179,818,007,393,362,878,552,464,
273,943,865,408,382,225,057,707,408,880,356,558,541,794,145,580,764,916,849,
317,478,875,768,704,213,796,427,895,615,633,156,545,613,072,038,402,084,136,
285,291,845,853,906,583,412,463,375,825,455,004,274,807,102,542,693,747,289,
624,529,397,166,157,589,080,272,867,755,296,601,751,108,325,533,595,676,611,
747,036,003,749,637,226,572,834,538,608,564,430,976,858,209,442,753,086,817,
457,541,844,258,641,117,497,567,958,719,164,998,474,206,750,046,542,114,103,
806,582,795,493,665,499,028,183,365,331,025,514,289,905,336,870,272,694,688,
947,737,446,351,267,011,978,426,795,531,433,121,908,794,377,572,860,932,867,
966,299,210,167,543,136,414,251,581,918,271,491,730,550,149,326,534,094,952,
953,337,610,008,045,263,963,771,926,532,180,154,575,411,553,063,104,585,081,
136,622,460,245,956,782,741,650,341,507,016,520,059,326,591,388,719,246,420,
717,363,043,088,740,555,941,998,390,698,115,502,191,040,905,053,938,306,505,
508,602,437,827,969,070,841,604,916,702,573,562,083,456,137,478,768,768,364,
737,381,732,969,534,546,376,814,331,704,142,767,499,815,414,421,847,868,973,
045,512,859,550,271,164,145,172,192,871,135,100,875,198,172,310,553,226,474,
159,935,102,161,696,662,761,249,059,730,635,567,446,527,289,526,069,167,335,
835,657,007,475,022,025,116,907,774,064,348,982,602,137,172,023,354,537,271,
984,364,676,429,156,339,978,402,851,005,753,701,488,909,008,143,646,519,751,
397,459,498,231,688,047,581,413,744,066,165,584,617,777,092,043,321,229,592,
401,179,879,352,334,837,982,042,002,454,686,271,746,328,277,065,947,674,388,
912,238,458,175,203,234,498,162,234,697,506,180,710,417,128,114,093,673,087,
249,474,954,729,283,964,709,870,688,229,298,309,715,373,006,421,860,575,042,
429,434,673,841,501,349,344,206,934,808,343,538,395,035,764,445,546,696,760,
927,919,553,577,605,844,266,556,254,553,940,256,650,960,592,171,109,183,739,
651,820,625,915,196,506,018,802,199,811,362,955,856,487,272,876,805,383,289,
088,058,555,838,155,498,077,911,528,240,481,132,680,452,102,221,975,652,422,
074,172,567,671,494,066,473,672,860,103,218,989,101,093,448,913,135,340,724,
922,695,615,698,409,794,189,447,095,989,066,546,944,056,907,740,707,649,582,
046,898,684,208,281,565,045,748,545,823,479,693,256,898,588,905,236,699,211,
987,886,068,269,906,145,616,590,397,090,531,646,629,629,277,859,908,766,020,
931,070,316,583,302,042,183,862,752,735,763,669,354,866,763,732,128,909,959,
132,478,962,665,747,093,311,487,185,896,377,675,953,989,522,017,972,018,927,
515,283,434,904,058,807,821,752,344,570,424,894,648,034,100,468,121,028,802,
667,482,739,356,787,240,561,519,393,606,112,883,559,585,852,244,251,148,264,
815,429,817,013,381,346,383,385,988,373,410,029,585,559,393,769,951,569,939,
913,330,406,441,061,603,730,682,140,950,655,014,272,821,239,448,854,439,971,
937,927,148,740,659,837,764,597,666,638,710,953,880,642,225,669,171,736,973,
444,765,746,457,380,348,191,357,819,402,568,416,606,393,182,337,057,398,056,
989,926,383,482,102,641,497,952,174,309,762,755,184,109,454,556,326,382,277,
909,186,468,159,185,845,045,611,650,812,394,092,683,798,097,068,707,441,099,
675,003,082,630,460,456,836,679,411,787,379,664,149,232,305,157,960,641,087,
160,779,272,153,163,053,417,035,481,780,440,072,259,924,262,082,874,288,978,
390,654,548,202,731,706,786,082,941,204,205,783,288,966,802,018,441,527,575,
121,187,980,775,116,962,333,322,312,879,922,463,280,984,471,126,027,352,013,
734,825,817,635,301,501,415,046,675,654,381,327,538,851,847,802,038,788,156,
925,931,227,851,221,592,174,978,745,119,566,237,351,826,289,708,435,656,660,
473,903,220,043,207,863,620,529,467,427,052,435,745,613,517,511,762,320,101,
393,276,662,765,043,360,480,373,029,994,585,122,438,999,176,337,501,067,842,
754,220,056,652,833,962,041,048,494,557,255,638,832,510,182,065,809,314,809,
793,498,222,227,933,823,819,348,890,768,597,369,621,165,512,941,268,975,873,
684,885,862,010,541,008,296,233,916,084,595,364,765,270,521,939,951,071,704,
626,690,802,187,183,153,058,832,318,762,263,320,817,889,309,739,218,411,288,
299,237,064,907,826,272,852,438,902,563,496,683,097,362,830,154,368,611,257,
965,274,744,596,747,420,443,101,156,473,833,369,186,100,178,037,989,509,191,
183,986,632,528,494,829,402,568,447,542,466,811,109,633,277,908,875,072,404,
790,665,681,345,699,754,363,813,369,806,875,504,468,724,005,945,049,893,519,
899,836,643,910,749,325,930,174,735,074,100,254,034,085,346,027,252,921,462,
182,671,380,913,086,989,464,399,164,329,149,260,067,165,231,116,540,246,727,
704,715,124,653,719,142,610,183,540,939,354,141,372,544,197,529,767,948,574,
454,055,879,735,943,964,410,014,245,965,351,420,150,585,924,429,665,048,065,
251,856,178,516,206,863,218,694,147,816,884,699,368,360,791,591,817,360,221,
924,814,709,484,734,061,437,481,432,216,512,390,676,996,325,904,334,075,560,
260,754,414,587,782,417,157,259,795,018,213,372,106,582,594,708,540,304,516,
901,201,609,133,502,706,487,986,795,037,596,615,798,904,078,024,528,574,660,
590,535,009,075,880,134,532,948,338,417,214,556,986,609,769,962,939,887,828,
858,365,374,772,454,238,613,254,801,610,120,273,757,675,870,697,174,687,511,
717,384,314,607,584,273,075,020,924,481,643,350,543,760,330,369,668,804,200,
710,641,367,419,152,319,779,730,282,623,072,955,791,666,714,050,136,144,951,
543,329,911,029,212,700,234,001,152,013,927,484,006,469,689,879,484,955,327,
320,759,333,083,627,706,283,545,509,674,106,363,396,256,465,266,090,804,515,
234,629,823,088,498,323,120,139,898,657,003,735,021,094,484,936,049,018,185,
703,522,647,264,560,588,939,644,485,275,829,094,697,037,364,297,478,361,677,
833,574,499,417,884,285,192,127,754,372,205,418,108,374,279,900,767,350,065,
229,272,941,405,638,854,651,133,837,826,719,120,743,021,663,765,100,103,240,
078,838,210,385,522,473,429,897,996,240,242,671,835,470,099,661,155,621,592,
982,383,017,485,330,231,393,550,770,194,424,562,148,205,313,364,567,322,546,
665,588,445,870,502,220,564,997,776,321,052,164,528,619,054,114,650,454,035,
693,498,070,423,276,600,516,367,407,200,110,978,766,535,534,315,708,983,049,
176,320,999,192,241,341,320,425,737,955,137,192,658,572,093,354,898,833,026,
389,840,434,333,127,155,039,760,356,755,695,667,869,296,967,138,404,591,070,
778,188,793,202,089,422,344,723,256,076,398,302,736,149,677,013,132,013,236,
775,690,563,747,434,381,527,031,681,509,161,670,173,434,252,866,342,549,259,
375,094,533,723,228,703,695,180,226,519,361,297,288,374,257,161,616,088,116,
826,554,088,699,911,472,162,878,857,918,922,526,046,814,672,269,642,886,277,
084,905,496,542,469,192,510,580,751,035,088,417,389,066,602,198,419,238,236,
176,715,789,918,717,787,161,192,948,542,635,533,839,803,221,424,377,764,745,
817,911,645,407,829,003,925,094,737,437,998,712,024,451,271,304,863,910,121,
834,050,017,985,596,749,437,837,561,331,905,879,776,870,547,517,242,474,914,
461,919,879,550,328,772,903,997,611,112,421,115,355,060,029,533,142,901,119,
523,019,429,904,390,024,984,889,574,167,590,787,604,828,024,966,782,770,257,
070,159,469,993,606,772,631,821,236,454,905,124,425,894,629,116,184,569,864,
185,911,066,045,323,102,416,112,047,454,580,856,107,662,815,739,108,951,426,
836,777,877,337,574,188,578,331,349,952,513,232,595,332,868,868,563,197,371,
530,953,644,825,633,653,665,531,780,575,262,402,475,865,254,118,349,017,357,
624,808,220,460,449,835,826,881,476,650,833,700,979,237,858,380,618,435,543,
394,528,345,765,489,125,496,539,003,798,520,617,648,184,282,464,593,741,305,
133,467,224,441,782,037,415,862,452,510,562,375,669,689,746,784,998,356,352,
877,664,769,881,372,135,515,712,373,957,080,228,600,601,790,358,460,584,595,
865,972,254,849,391,943,562,225,600,446,728,936,414,678,615,149,877,509,569,
081,322,498,975,666,078,494,706,309,324,812,351,438,843,439,644,235,691,659,
599,490,737,364,292,840,038,510,717,362,143,778,331,065,994,739,508,670,075,
487,657,608,859,290,493,587,001,819,954,738,331,448,594,612,435,015,108,921,
107,247,554,758,130,768,099,840,065,390,944,645,858,344,133,870,784,321,155,
123,197,868,048,282,813,157,476,318,599,451,384,487,110,122,187,804,439,730,
427,807,907,915,193,122,598,678,603,001,055,237,604,725,666,833,680,395,884,
075,077,877,469,586,371,297,435,049,171,254,992,429,568,797,819,010,084,479,
633,473,022,173,149,216,130,571,827,972,022,028,495,898,374,088,457,095,587,
622,599,417,221,976,118,898,834,071,005,909,179,786,789,887,646,563,487,277,
967,060,358,708,743,436,137,106,561,640,695,582,768,103,712,437,513,606,565,
831,958,605,061,836,574,692,540,261,093,104,948,992,405,185,172,086,393,403,
114,111,237,511,188,127,414,192,162,700,650,382,579,357,198,638,280,682,204,
819,113,433,572,040,409,455,486,257,182,314,745,010,756,467,170,209,101,944,
101,341,890,280,301,012,002,230,090,980,013,432,989,013,949,845,339,630,741,
246,830,508,485,030,554,736,806,243,041,225,869,771,683,334,292,287,051,537,
965,199,439,792,732,450,501,736,284,512,981,923,203,003,223,191,983,806,161,
231,153,380,825,780,350,590,546,221,356,017,605,435,531,356,659,104,070,662,
008,962,358,386,970,783,201,174,171,288,473,758,314,791,529,801,931,492,183,
944,183,908,785,272,398,775,718,252,842,981,134,249,129,350,650,381,636,144,
024,577,228,352,826,994,680,788,900,483,080,394,984,172,102,561,181,026,018,
850,934,854,972,023,383,140,816,073,000,014,588,429,618,962,105,231,641,298,
302,872,147,758,002,717,473,440,640,749,735,934,386,673,637,909,915,352,047,
154,782,794,934,660,442,372,596,800,872,736,682,454,947,022,119,707,398,303,
559,418,505,111,211,265,750,331,314,927,412,065,988,917,879,193,595,864,550,
084,216,297,858,736,894,529,999,725,667,608,785,201,494,073,557,910,091,302,
508,760,143,699,543,588,337,411,044,129,168,739,822,213,620,875,021,417,571,
401,695,046,274,587,337,205,599,105,790,059,914,190,972,767,133,987,670,091,
373,964,208,136,252,499,469,848,267,351,278,248,358,490,855,923,085,783,578,
579,718,706,659,752,257,376,132,647,104,106,860,846,823,804,576,868,545,801,
662,300,338,010,522,210,339,103,386,137,832,739,131,186,228,382,674,796,421,
775,200,369,516,772,459,076,764,734,929,589,847,574,908,403,856,548,495,743,
048,239,502,808,320,325,685,256,058,594,900,415,019,133,297,951,252,140,174,
463,673,815,930,295,155,748,660,813,854,922,759,297,284,309,902,800,418,890,
494,658,907,780,063,399,559,093,705,727,351,641,420,177,424,334,249,109,024,
348,883,129,958,696,201,079,355,205,976,538,372,784,656,784,848,185,174,258,
744,087,282,242,952,143,521,301,762,182,799,018,035,972,118,593,484,183,695,
706,991,494,142,159,619,934,909,919,446,219,292,355,601,748,716,271,396,295,
418,665,037,668,743,728,620,403,024,053,907,015,298,433,836,368,357,373,412,
490,841,764,604,358,599,303,329,031,355,373,001,442,772,446,084,722,177,768,
913,178,834,904,954,113,945,271,539,936,075,278,154,334,926,751,531,329,449,
401,963,720,814,548,833,042,635,933,329,481,468,969,869,793,413,713,860,725,
013,997,177,090,456,426,197,173,363,307,389,268,134,233,576,543,363,893,002,
082,727,229,353,350,321,732,866,240,834,193,668,764,032,893,659,061,341,150,
521,433,630,930,586,187,876,983,481,937,753,586,794,448,317,729,444,625,744,
750,867,962,915,911,141,402,358,324,457,077,958,550,893,792,501,054,698,047,
840,055,619,475,854,125,163,550,939,126,257,212,581,609,650,514,331,783,864,
952,540,334,117,422,227,283,787,137,787,022,587,504,227,576,132,333,150,442,
152,127,143,491,708,995,565,503,581,183,079,321,964,607,073,939,843,406,328,
817,629,853,206,499,373,792,473,517,221,516,832,391,553,411,140,686,780,207,
275,064,649,684,606,628,605,207,080,597,948,718,654,667,508,919,816,256,637,
239,413,069,826,763,751,221,611,320,518,471,816,624,020,510,572,949,259,915,
930,591,039,265,189,325,832,463,462,448,768,007,874,546,870,532,873,234,159,
446,671,542,018,211,265,559,570,680,331,062,278,428,834,354,454,605,165,326,
681,952,222,285,979,388,211,558,958,713,450,325,610,648,364,339,440,639,683,
559,232,855,077,108,631,211,345,032,581,872,444,035,868,811,519,602,656,578,
672,815,681,369,040,715,601,769,626,094,045,715,347,474,309,614,921,746,187,
217,786,681,977,875,207,938,588,471,755,164,924,794,317,134,289,093,094,342,
505,376,556,386,532,980,670,110,374,928,010,631,216,198,933,373,548,352,729,
600,863,753,910,449,523,951,092,509,177,393,528,247,682,355,709,222,531,054,
733,142,394,124,952,486,730,094,401,605,305,497,455,533,135,784,008,862,877,
369,052,745,334,597,418,038,225,999,128,248,262,016,208,532,989,956,513,993,
685,282,439,271,786,973,108,504,757,061,815,392,836,996,055,635,309,126,042,
271,375,410,253,576,820,931,566,780,093,477,541,056,329,779,757,036,235,901,
932,910,464,866,103,768,877,144,911,687,401,071,733,898,416,139,960,432,393,
989,344,964,296,416,676,546,119,071,332,152,802,911,579,034,488,117,407,973,
133,726,640,730,029,435,053,132,123,831,259,443,795,194,821,203,207,533,299,
200,275,284,536,052,737,694,598,363,669,847,122,854,736,003,413,535,063,407,
886,672,298,457,643,126,332,364,366,126,057,046,994,216,526,691,117,866,551,
663,958,552,700,214,297,196,705,298,731,684,089,406,950,449,600,873,586,147,
769,676,726,513,875,489,088,524,509,884,304,314,825,640,767,893,436,327,865,
309,470,138,380,212,689,609,641,293,065,370,721,410,771,413,206,797,175,000,
988,868,674,312,433,901,193,904,720,531,128,586,555,160,573,449,896,035,186,
510,619,401,409,766,278,383,250,052,236,411,957,465,761,695,180,991,492,981,
218,499,379,217,283,979,934,037,122,651,387,142,137,148,171,650,751,358,875,
445,066,391,425,431,415,725,651,494,244,324,435,699,134,923,264,889,863,864,
662,901,736,595,771,637,064,745,026,467,665,805,408,393,448,728,993,861,179,
042,224,411,416,791,505,099,281,644,996,533,117,760,627,201,634,874,046,280,
426,507,067,285,453,789,503,286,841,638,959,660,101,276,749,327,059,831,745,
997,654,508,111,723,997,808,912,222,636,365,474,982,620,366,945,718,934,505,
732,891,067,372,966,314,235,191,098,079,280,379,789,830,430,461,136,846,974,
726,587,479,728,750,233,748,475,951,554,755,188,055,456,061,873,079,494,908,
047,037,200,388,000,938,751,270,017,722,637,894,551,252,347,866,390,140,331,
621,330,318,319,865,249,117,472,771,399,927,561,611,839,761,840,213,648,498,
425,471,656,184,570,796,518,546,210,588,697,063,551,294,996,033,246,280,668,
294,464,700,327,274,347,089,615,983,073,692,830,659,668,039,257,866,629,070,
468,844,322,669,365,039,662,579,436,305,975,022,188,797,210,257,043,078,907,
974,716,351,007,823,654,644,711,890,262,959,334,579,708,073,487,656,757,503,
584,121,583,467,469,264,021,520,077,336,431,086,722,785,920,596,047,374,975,
291,412,910,403,762,722,480,849,439,082,307,648,128,888,838,299,854,247,363,
107,604,362,779,458,931,988,455,181,428,046,352,529,201,727,405,612,784,137,
105,940,635,745,137,094,656,309,286,901,805,363,518,230,381,857,946,010,694,
246,173,545,347,348,228,021,300,131,064,585,771,064,265,994,220,688,786,952,
095,786,374,691,865,553,980,525,497,140,828,335,355,525,653,916,941,317,401,
899,550,989,256,293,318,597,145,788,411,936,438,859,460,378,051,322,730,827,
992,122,581,728,855,121,578,862,337,604,305,893,674,224,330,873,104,969,381,
017,761,057,430,870,886,449,704,935,194,307,377,121,664,818,843,557,683,889,
059,345,074,419,205,417,341,683,672,412,646,635,920,658,329,542,113,855,909,
497,231,983,542,541,784,870,824,636,356,758,346,574,595,172,482,098,883,460,
921,553,150,522,034,681,100,220,683,599,617,349,777,362,299,591,239,127,054,
711,203,838,534,688,076,655,518,598,334,626,126,254,283,788,146,814,511,456,
357,314,834,203,471,693,310,561,077,202,564,236,317,482,668,809,440,270,054,
768,587,017,540,012,565,534,615,582,622,647,859,668,414,783,464,651,161,523,
026,721,758,364,656,271,161,305,625,071,306,346,829,269,765,419,537,590,931,
861,234,467,102,488,035,306,949,213,117,627,947,081,265,562,181,284,848,823,
349,010,785,291,722,734,320,598,304,526,185,280,006,291,079,718,063,290,172,
310,584,055,777,781,385,872,160,770,111,495,309,912,845,618,822,984,979,980,
774,375,959,921,156,443,242,389,754,745,832,698,403,896,327,865,844,153,002,
614,943,244,530,888,633,069,504,991,209,009,333,481,755,817,013,810,325,013,
257,763,783,809,839,160,328,738,087,007,899,205,278,850,107,518,817,940,535,
601,773,139,523,275,690,633,980,013,622,506,794,218,531,007,361,114,657,312,
142,911,922,718,484,855,487,396,794,102,660,594,076,086,986,980,362,327,529,
141,094,929,445,698,221,388,433,303,261,593,451,344,479,401,501,749,673,878,
388,767,467,635,918,574,627,933,279,734,413,686,855,255,572,140,137,397,919,
073,457,410,985,442,158,490,964,233,376,294,544,752,365,622,521,458,462,780,
729,651,027,314,422,095,890,573,760,900,944,331,551,711,530,808,338,686,877,
289,272,241,431,564,226,162,998,477,996,231,311,162,358,724,298,347,754,305,
937,242,976,441,595,007,626,047,677,184,119,141,535,217,502,587,411,506,259,
944,739,234,271,767,537,624,054,846,033,487,037,773,052,608,841,443,471,248,
135,214,735,944,132,961,900,818,945,759,837,158,803,727,590,588,427,590,104,
726,457,259,496,386,687,194,422,844,527,434,699,293,886,187,861,093,290,483,
039,136,685,309,900,909,517,018,337,449,655,813,366,252,152,481,149,383,585,
219,661,512,550,900,641,547,939,011,027,950,549,382,354,206,949,575,637,847,
215,828,169,910,749,249,380,098,986,883,722,922,973,181,603,766,485,696,699,
774,787,802,147,411,423,935,161,852,354,920,520,109,559,944,150,900,710,734,
377,983,199,840,478,065,454,432,895,573,752,533,523,295,583,575,520,238,693,
958,199,213,839,974,753,179,460,842,890,893,094,808,308,713,332,384,943,436,
865,823,359,923,587,890,596,676,109,961,024,675,858,711,364,602,341,305,398,
846,578,607,445,265,511,003,088,291,796,868,945,739,559,891,105,255,889,272,
699,231,165,834,014,103,100,853,639,709,595,026,873,450,527,156,188,155,634,
907,974,719,345,671,066,033,625,160,313,994,691,748,361,839,380,932,305,375,
312,281,767,365,973,309,179,835,999,512,040,728,187,613,535,465,313,600,571,
515,702,083,188,822,784,443,306,822,694,150,807,736,693,681,574,355,416,736,
213,876,489,747,525,021,134,324,386,961,725,745,068,616,411,455,944,013,214,
758,136,370,539,410,821,018,181,365,830,887,596,258,189,058,500,896,894,512,
155,677,318,658,447,663,118,411,711,731,611,641,968,225,740,023,945,997,756,
876,991,299,027,788,611,501,106,012,700,721,173,584,364,836,637,034,173,807,
459,838,375,960,471,536,385,348,101,873,570,525,319,857,405,031,470,758,798,
361,022,131,818,365,257,930,781,258,557,784,643,002,836,805,959,201,270,931,
007,476,426,596,794,605,232,608,965,759,337,680,873,059,426,437,278,023,575,
067,666,180,674,081,254,239,248,300,801,384,041,126,633,818,625,798,640,706,
511,889,663,940,575,774,466,883,752,482,668,235,375,932,199,525,139,256,647,
290,177,123,341,825,667,886,216,278,182,414,220,476,159,127,318,183,721,859,
440,810,312,579,488,469,564,873,931,746,079,270,264,202,957,020,484,331,450,
792,168,604,925,214,865,271,321,743,142,172,597,010,111,404,781,109,509,838,
846,211,307,836,829,195,896,589,855,121,202,964,684,064,396,172,962,574,064,
334,846,747,119,432,083,710,471,879,508,850,267,169,682,502,743,494,041,416,
860,379,412,918,887,395,234,102,193,174,111,502,333,527,360,625,094,024,877,
951,382,310,197,922,377,301,741,351,908,742,483,422,732,692,452,764,773,908,
763,286,293,922,365,549,762,996,485,279,633,377,277,324,540,742,095,790,465,
630,881,702,899,424,256,145,219,471,072,583,004,011,140,948,105,459,132,300,
763,047,880,638,731,930,967,837,580,216,134,448,255,427,048,542,358,806,440,
082,781,939,813,262,456,778,945,202,417,137,393,357,348,994,472,325,230,885,
055,883,391,461,069,705,589,672,018,634,709,642,227,169,298,106,675,123,965,
486,425,186,695,036,661,639,598,508,082,994,610,903,316,172,293,410,854,051,
014,182,185,290,380,493,250,396,831,616,068,105,768,603,104,226,840,841,371,
200,298,365,686,702,722,003,212,460,173,502,506,209,768,881,646,314,516,595,
941,935,330,474,856,320,656,776,997,635,729,353,138,980,267,788,287,621,329,
035,404,444,665,322,638,796,202,696,036,257,865,105,583,868,881,502,623,160,
346,183,745,638,938,912,952,030,010,848,631,051,382,909,165,308,118,898,574,
499,534,189,834,821,544,711,052,913,448,588,204,298,521,289,264,916,622,639,
283,178,431,215,817,687,473,091,839,492,501,110,754,028,845,048,378,630,457,
714,755,874,368,387,877,423,016,046,388,941,105,790,999,043,267,687,695,674,
284,144,554,291,697,217,614,691,265,368,513,870,658,976,557,695,736,850,798,
800,506,438,431,875,966,283,866,039,588,450,002,068,519,014,600,564,933,338,
959,727,811,070,002,464,209,708,257,089,574,614,100,615,147,761,570,509,762,
572,593,802,742,881,686,642,626,912,284,849,368,949,504,880,322,321,509,131,
175,789,938,917,417,301,991,305,387,846,678,786,934,231,836,855,459,525,937,
098,227,685,766,170,411,897,299,697,993,851,987,519,177,946,292,268,580,809,
910,645,787,341,819,057,442,793,206,457,362,086,379,210,109,870,903,544,728,
532,625,153,904,721,361,188,549,062,891,598,987,357,885,205,780,225,629,700,
679,561,246,017,270,650,862,493,621,245,593,847,252,181,794,459,284,148,349,
969,757,367,888,605,296,167,169,633,139,110,907,058,650,813,865,250,052,425,
134,645,755,785,524,573,473,035,576,654,129,571,417,963,776,125,451,521,250,
719,265,724,682,009,476,068,088,432,713,120,033,866,508,401,366,956,873,098,
700,978,747,989,775,820,483,481,782,500,006,132,851,691,355,139,551,428,664,
764,417,866,210,623,056,447,023,180,257,820,545,526,766,745,487,364,139,752,
533,583,832,937,801,594,782,267,758,394,729,729,888,414,877,540,237,231,282,
195,585,833,850,430,069,816,078,186,453,276,155,095,850,204,130,914,887,908,
078,501,279,475,748,576,112,908,730,968,436,324,965,480,338,911,699,372,581,
995,724,911,393,052,294,537,772,837,439,208,893,484,102,695,913,025,547,134,
609,312,814,549,509,343,912,008,672,909,228,743,147,727,023,033,324,830,848,
824,033,736,317,563,987,375,275,474,972,870,915,151,923,674,978,564,000,408,
399,469,212,834,302,839,349,365,090,439,231,919,423,576,845,367,410,427,026,
541,606,601,569,260,304,684,274,391,883,528,008,370,682,692,524,418,469,672,
536,415,257,735,184,798,147,823,357,955,333,879,975,281,914,301,327,327,932,
513,619,952,915,621,995,173,074,243,513,548,736,987,845,955,037,460,076,983,
311,818,071,527,643,643,819,109,983,772,635,759,026,174,748,060,832,654,902,
753,568,033,104,460,187,754,009,877,863,834,923,145,939,295,853,459,761,218,
898,474,760,822,331,165,318,060,170,291,513,395,885,996,236,772,051,978,592,
247,838,458,313,112,940,604,913,151,042,567,672,064,357,319,572,582,160,083,
373,292,280,898,040,562,667,798,459,632,562,100,533,432,115,251,526,195,973,
046,810,738,700,904,390,661,741,131,711,991,200,092,275,836,830,263,853,765,
405,144,842,382,036,980,369,907,672,061,540,485,132,764,802,104,454,010,644,
003,306,765,212,768,541,545,650,347,130,174,076,940,867,760,019,876,337,745,
750,176,635,672,334,077,735,478,055,790,716,350,079,269,189,112,502,542,832,
440,177,007,086,357,673,136,419,191,343,983,123,846,499,484,980,032,974,444,
632,183,233,534,358,022,241,976,278,694,654,712,764,527,740,971,663,514,616,
509,649,330,668,798,088,214,431,835,746,799,172,437,688,204,337,494,270,807,
869,740,470,000,175,837,409,636,613,286,548,199,278,224,649,874,194,314,647,
507,734,916,060,357,247,528,898,909,857,136,560,653,934,376,107,833,414,585,
990,463,626,508,917,083,199,188,249,967,574,312,902,133,039,002,908,628,947,
152,851,120,115,149,693,442,437,515,767,463,738,440,437,440,136,356,661,161,
729,281,108,480,318,334,954,624,960,445,025,494,882,877,914,159,424,353,103,
531,191,319,793,708,147,120,711,817,352,056,170,876,762,543,821,944,011,434,
100,508,103,278,227,821,890,849,879,606,274,635,918,850,778,795,324,479,316,
605,287,701,473,568,926,204,455,109,105,430,226,492,665,882,793,751,453,319,
454,895,112,326,107,834,512,281,881,398,721,888,267,140,206,804,297,173,875,
667,171,530,012,273,949,496,887,325,411,083,171,558,687,586,269,834,700,863,
985,412,879,874,670,001,619,552,428,591,556,844,353,609,704,487,441,213,744,
027,596,944,605,986,783,866,967,129,335,508,905,085,156,824,152,440,985,863,
327,197,697,986,862,878,593,544,035,586,448,180,582,743,926,618,761,267,908,
296,555,839,906,979,044,145,717,682,216,391,098,052,105,218,142,419,879,186,
981,146,779,423,619,415,519,861,933,578,745,617,512,475,697,864,024,459,213,
849,815,672,533,010,268,063,506,176,969,245,083,612,888,554,862,804,497,952,
880,294,356,104,423,013,635,243,879,112,011,142,093,202,699,166,785,194,918,
436,257,981,706,281,019,796,684,057,853,589,714,535,712,533,014,461,620,176,
455,592,943,244,030,386,862,488,923,974,107,187,164,965,954,740,477,120,954,
272,301,437,634,022,010,455,364,639,236,482,498,695,008,614,711,407,706,773,
529,242,989,916,873,951,988,150,834,063,602,691,503,140,325,186,231,855,931,
354,508,385,074,896,946,123,125,914,985,232,288,462,495,885,096,157,932,807,
931,358,123,080,184,257,058,765,710,250,977,655,061,208,820,006,794,769,102,
932,808,832,971,078,536,002,230,417,047,444,750,468,494,141,500,074,775,031,
883,738,597,399,427,454,808,606,898,435,517,641,533,775,051,177,523,195,236,
208,682,302,297,802,060,101,698,437,194,598,827,745,190,835,629,345,275,995,
664,725,254,183,709,654,398,726,100,443,771,636,760,388,084,687,256,794,692,
260,179,375,985,551,580,428,539,921,774,741,405,619,939,798,874,706,826,669,
948,125,862,054,527,543,672,085,069,768,960,043,268,508,150,334,390,551,592,
517,630,283,109,496,060,915,263,642,711,754,903,473,301,036,266,423,598,265,
986,803,555,395,303,636,384,216,191,179,367,649,303,071,366,927,459,997,248,
688,648,899,448,949,742,977,922,296,078,489,342,545,868,270,798,436,382,098,
276,263,024,253,299,965,840,376,143,408,042,736,997,949,076,439,762,798,183,
121,053,437,573,427,194,568,802,227,098,064,511,432,255,729,063,496,028,162,
577,530,097,744,449,279,288,903,878,686,759,330,043,537,326,250,935,092,369,
506,398,984,300,624,721,198,778,249,664,141,996,528,681,327,498,862,131,070,
865,776,483,530,511,562,431,113,884,811,761,945,286,519,283,895,278,661,315,
838,063,602,577,941,933,707,833,377,996,089,772,281,495,109,089,499,931,046,
017,665,031,803,641,466,111,077,260,996,215,488,105,113,321,905,791,884,404,
586,550,112,323,629,440,067,407,590,101,711,918,317,976,871,587,568,577,404,
253,875,340,624,947,744,656,758,426,699,209,485,988,279,073,310,766,792,050,
414,355,353,350,427,552,930,922,627,205,845,248,126,507,697,900,273,941,502,
611,313,063,418,305,111,754,877,131,398,103,048,290,879,457,404,488,438,795,
990,391,005,463,462,544,332,780,201,164,655,088,954,862,032,951,750,787,576,
134,768,845,123,795,972,096,306,453,180,700,100,846,569,380,154,008,209,367,
615,360,223,221,535,689,725,992,130,686,366,452,711,316,118,265,247,417,916,
717,438,929,434,576,553,618,465,580,436,127,189,390,280,965,369,496,320,002,
104,454,171,308,512,859,776,661,930,037,150,071,701,509,830,330,970,198,002,
454,698,249,251,342,431,128,874,132,808,868,137,108,434,141,368,478,395,640,
900,860,285,406,687,794,914,858,480,011,058,337,307,243,464,646,892,614,550,
167,063,175,191,261,211,144,415,290,918,030,663,284,172,673,989,734,843,348,
037,682,656,538,859,203,963,039,088,939,558,374,691,347,276,767,718,905,865,
318,423,153,439,779,927,503,403,869,283,044,708,736,521,547,424,175,860,805,
300,152,688,104,774,326,617,599,761,523,374,205,988,672,888,383,222,927,091,
216,140,637,706,692,284,159,372,418,492,354,662,350,390,627,260,121,616,380,
377,089,676,058,821,577,224,942,915,304,217,492,943,160,977,821,020,157,923,
899,606,231,469,252,835,224,796,148,196,292,457,997,313,475,245,678,205,540,
644,524,828,911,966,489,576,838,628,718,094,021,977,999,747,235,894,745,249,
958,419,499,009,848,177,962,332,711,311,842,330,442,995,178,381,640,798,486,
624,209,385,462,746,356,207,178,410,794,333,219,797,588,005,206,699,159,785,
152,413,650,010,066,439,428,663,277,437,519,881,881,409,211,421,889,558,604,
237,275,646,118,003,817,869,330,766,663,924,182,073,051,745,560,385,018,769,
959,524,023,423,593,162,776,921,480,350,748,752,540,596,569,864,148,775,719,
059,893,272,760,875,476,673,062,452,996,632,571,953,620,933,234,725,594,456,
698,879,690,056,845,953,120,315,265,820,559,310,567,578,147,360,585,050,193,
924,723,003,082,866,201,588,504,899,562,332,747,745,062,967,569,360,511,644,
772,930,256,657,802,725,695,519,202,845,130,222,952,843,410,357,470,974,190,
067,383,626,202,022,745,221,189,184,814,404,818,091,318,236,503,632,980,234,
574,218,782,629,152,842,523,815,669,079,998,833,773,735,233,741,114,768,462,
065,256,241,584,639,100,769,557,174,983,419,980,019,186,522,709,830,841,821,
061,093,163,523,016,411,684,769,521,149,827,419,976,907,615,261,502,859,107,
234,661,912,435,253,011,315,932,729,945,152,262,535,169,802,209,961,221,394,
766,061,175,313,889,213,791,916,074,476,288,813,925,067,214,287,341,009,949,
213,555,338,562,712,174,413,085,328,035,465,849,822,179,102,920,411,806,045,
373,303,671,383,382,297,307,806,424,470,566,479,317,479,479,724,206,077,575,
178,642,967,488,759,477,774,747,467,715,336,555,502,959,027,879,545,710,143,
837,469,366,145,052,436,365,494,599,444,994,068,263,751,871,434,391,359,926,
831,933,687,525,296,011,901,672,589,032,079,813,778,375,317,607,943,480,844,
409,022,399,746,877,241,697,152,545,763,063,792,875,169,533,508,704,969,957,
477,644,282,461,616,284,838,351,048,459,158,397,263,093,734,886,250,294,276,
721,977,450,796,478,479,309,548,152,758,510,169,777,589,628,357,647,514,052,
153,575,582,536,274,615,241,903,093,324,710,118,612,170,981,767,335,443,577,
396,551,129,224,640,901,422,350,712,971,933,214,450,005,164,863,956,444,734,
721,494,085,119,008,658,831,118,532,814,088,118,119,089,673,718,891,639,028,
322,749,879,572,398,846,529,557,602,524,936,690,437,103,151,060,212,722,582,
223,374,840,261,576,574,395,144,621,723,132,555,313,998,497,179,892,921,485,
479,220,464,527,598,878,776,784,166,142,577,790,148,425,622,245,677,737,779,
167,612,951,773,511,216,406,775,769,740,943,599,611,020,834,576,017,107,257,
751,307,409,217,071,980,583,235,592,689,372,398,841,696,241,965,338,185,818,
771,098,729,025,980,296,409,814,942,646,338,897,074,523,432,553,362,416,897,
342,731,534,381,366,611,033,000,939,446,671,473,213,188,917,104,254,949,563,
711,924,321,544,231,653,684,114,727,026,389,005,514,251,922,700,067,993,281,
363,367,621,583,014,961,799,599,004,306,256,896,874,709,246,651,780,899,368,
617,577,954,450,887,836,318,053,582,611,164,997,839,237,828,955,505,126,922,
062,293,569,067,601,276,771,878,708,409,681,664,680,374,612,139,727,081,091,
646,698,308,257,176,961,207,663,887,145,931,052,068,980,063,619,411,191,113,
576,727,754,718,873,138,023,339,204,187,420,515,757,949,054,482,086,334,959,
605,043,485,138,954,609,022,106,555,591,462,358,110,869,404,351,420,182,345,
826,636,193,797,990,466,463,538,478,689,238,543,804,577,915,218,018,811,007,
405,322,301,049,377,113,478,238,612,661,801,276,695,978,737,870,141,728,311,
135,806,212,137,315,877,104,858,715,473,376,161,426,035,782,983,672,859,287,
597,463,732,049,283,562,569,257,654,606,288,562,205,424,456,696,322,149,970,
396,484,446,185,108,532,955,095,882,008,755,069,566,182,792,075,146,040,126,
467,687,393,169,048,834,134,871,223,034,591,077,632,215,428,783,926,871,562,
597,441,836,149,156,563,845,191,063,635,490,425,899,014,956,209,465,800,755,
101,773,018,128,693,149,966,123,403,440,518,583,045,606,587,324,895,278,307,
288,516,044,479,936,083,444,207,790,042,798,673,564,956,243,349,204,727,017,
911,067,020,798,083,967,024,171,579,324,915,788,296,628,657,536,977,998,941,
303,591,087,305,899,064,799,602,161,717,682,373,525,441,544,251,515,917,818,
669,875,771,260,921,179,987,043,397,433,078,427,296,393,860,964,890,469,479,
684,357,724,757,655,980,611,576,660,468,552,738,589,683,284,161,466,646,241,
892,259,949,981,019,057,382,047,743,186,357,451,202,345,496,273,963,727,779,
146,345,501,426,193,125,768,723,454,117,943,624,214,052,530,731,568,044,035,
656,613,371,531,379,977,575,126,277,321,672,125,117,898,781,089,635,926,752,
678,862,673,518,223,755,621,575,011,009,544,987,990,769,165,383,827,318,164,
465,002,427,165,154,210,747,457,779,203,055,216,057,194,684,451,499,272,271,
143,376,151,323,031,664,742,053,909,578,138,475,142,569,611,581,776,014,794,
566,691,718,389,166,727,116,883,944,931,294,730,726,107,533,344,110,009,504,
779,839,586,814,362,377,556,347,180,128,905,595,728,208,148,832,649,901,883,
987,819,573,891,685,387,332,937,688,073,232,865,003,446,915,384,311,193,906,
962,278,222,326,269,803,590,767,278,149,118,070,717,494,547,361,598,316,011,
135,925,307,740,893,060,664,692,363,810,091,941,586,362,948,783,515,527,901,
134,071,704,704,730,930,499,215,981,091,805,389,301,388,905,323,177,134,472,
002,549,289,519,324,463,853,806,624,637,694,402,500,098,250,989,131,918,945,
932,723,565,833,781,594,749,924,481,267,321,102,217,640,732,274,005,031,257,
167,395,881,741,555,591,079,313,565,886,804,044,164,520,343,825,393,355,109,
588,620,181,249,020,432,311,017,148,237,082,322,665,330,242,360,948,323,023,
461,748,971,447,323,462,154,000,846,605,364,055,737,263,864,509,260,547,425,
414,202,269,663,317,919,765,075,434,013,616,596,077,519,733,685,475,330,315,
295,072,479,681,241,617,736,818,768,415,611,713,942,091,447,038,808,721,340,
557,153,587,270,821,293,778,969,220,285,066,257,244,628,094,721,130,606,686,
731,610,994,290,225,251,623,336,743,807,622,185,941,628,635,414,386,124,408,
474,579,641,009,753,082,774,703,859,364,767,966,123,153,776,156,575,830,742,
568,430,701,112,349,817,747,586,630,748,957,402,376,854,474,082,449,450,481,
939,062,582,725,012,537,102,777,806,816,060,303,909,130,606,081,236,234,693,
278,129,738,839,773,994,495,778,885,137,946,461,295,017,464,123,157,433,895,
675,730,148,493,967,963,012,667,949,113,137,130,294,078,638,213,929,136,211,
296,192,651,066,506,972,432,560,533,031,529,564,849,652,969,642,442,274,383,
790,637,494,718,047,108,080,702,279,632,043,344,170,271,188,484,957,264,259,
954,758,199,590,875,834,190,885,459,633,462,504,116,471,008,421,186,423,774,
400,511,656,420,026,237,639,493,308,237,446,201,637,394,604,329,381,165,992,
827,199,569,646,986,293,003,789,943,472,442,540,294,207,145,980,928,736,485,
323,176,749,846,498,703,078,078,686,915,462,112,635,293,424,592,699,131,522,
546,319,820,169,653,160,183,989,478,615,814,832,778,124,563,023,653,305,443,
579,080,521,138,911,165,953,352,994,335,699,854,376,182,847,235,764,482,444,
043,507,375,302,005,920,701,213,547,484,280,812,473,556,638,787,124,328,636,
953,519,956,780,441,457,558,747,509,658,804,898,593,246,264,722,287,075,284,
106,254,495,111,694,920,931,573,248,199,351,960,391,629,385,057,451,200,371,
363,095,261,503,339,532,193,641,609,021,475,800,949,898,752,047,470,525,968,
602,717,474,885,098,009,579,415,799,136,929,789,035,981,950,142,523,156,056,
261,427,803,975,494,973,476,558,380,167,154,143,740,984,966,439,195,901,384,
567,221,508,099,867,565,426,784,407,502,089,366,833,520,565,184,446,734,604,
422,983,589,002,443,616,657,611,005,895,784,423,437,658,007,940,498,763,776,
424,651,740,207,058,190,901,056,698,990,386,543,614,705,259,435,244,925,505,
656,859,267,323,092,548,225,852,753,549,804,445,902,080,541,703,449,687,240,
472,446,072,761,691,519,167,048,035,127,583,088,477,025,575,516,893,706,810,
347,995,205,612,091,265,300,903,357,082,385,311,391,005,113,508,621,881,608,
214,266,844,765,227,435,080,233,222,201,845,772,492,058,147,731,224,694,031,
551,673,350,979,129,441,480,397,263,634,655,064,441,868,190,214,121,708,491,
577,914,296,390,456,765,977,032,954,632,598,528,231,797,858,278,878,590,544,
438,761,070,332,577,345,815,770,010,385,085,900,413,004,783,978,747,457,530,
623,632,683,532,145,650,362,911,717,563,164,353,136,740,127,904,724,614,603,
867,752,747,671,331,578,798,947,397,395,668,290,193,895,795,691,174,150,499,
951,848,375,480,634,679,049,918,555,583,964,684,853,938,119,589,749,076,471,
880,151,560,939,820,473,730,720,104,197,361,156,288,240,066,526,878,702,102,
029,273,638,198,531,531,935,251,873,390,179,993,078,206,447,305,673,203,089,
962,062,743,233,696,125,717,347,347,926,260,418,672,212,517,164,457,075,845,
331,643,597,402,405,904,170,437,689,740,779,906,396,799,964,140,174,213,894,
445,189,640,089,423,532,104,177,750,516,034,094,708,595,953,196,944,328,902,
683,005,832,578,202,348,181,902,237,472,141,727,017,340,040,368,182,129,405,
639,994,757,495,758,029,060,108,969,245,974,825,106,773,795,160,288,327,823,
931,442,291,390,582,326,709,613,667,439,636,053,806,279,741,163,042,626,216,
378,483,855,583,034,017,662,034,519,388,632,379,946,422,886,727,510,819,083,
316,213,558,077,380,652,934,901,284,701,202,659,053,407,112,555,291,894,486,
872,597,252,372,505,229,833,461,330,298,289,280,523,035,836,567,855,569,838,
587,203,734,630,519,831,354,532,171,570,816,495,508,215,699,899,167,505,191,
849,635,258,260,934,477,833,109,565,713,323,401,096,669,513,933,287,753,288,
055,668,824,844,391,655,753,408,622,261,263,683,143,077,164,040,205,164,539,
896,704,160,573,374,704,311,597,938,583,894,741,613,600,739,371,817,032,392,
221,416,028,349,416,045,138,601,201,601,812,029,066,113,443,322,876,111,108,
040,761,214,245,970,739,858,002,662,267,623,969,989,229,531,715,985,913,221,
357,018,266,322,540,858,669,144,447,468,530,377,127,437,601,094,098,072,480,
872,274,154,274,677,437,107,678,159,377,076,522,226,784,505,327,388,992,981,
662,533,462,565,131,208,103,809,371,631,985,929,713,563,587,135,423,145,078,
673,900,171,426,899,820,144,332,909,148,029,274,349,185,806,960,286,950,454,
832,884,497,132,535,554,667,365,395,091,211,756,003,501,307,505,856,077,997,
407,130,638,659,541,539,954,656,291,945,144,603,732,859,078,582,141,457,490,
295,819,226,837,403,391,492,323,507,582,065,521,893,888,802,739,564,477,409,
195,183,662,327,559,128,232,825,754,789,804,419,751,839,150,705,556,234,005,
099,129,793,227,183,863,408,307,620,683,121,847,245,804,118,685,189,999,557,
368,436,965,837,810,885,243,242,851,317,958,936,788,516,633,062,626,566,973,
207,211,555,183,725,940,391,160,611,499,480,286,636,581,023,265,307,687,383,
252,411,229,224,654,756,055,477,850,926,176,900,034,343,349,446,908,991,083,
482,146,909,310,623,679,407,102,392,276,048,663,928,209,811,227,765,567,658,
408,304,694,132,292,840,654,521,848,665,973,687,490,537,804,123,075,676,616,
769,215,438,932,297,289,570,828,401,291,988,316,305,369,356,686,773,594,740,
166,881,845,452,264,360,331,701,147,466,865,018,866,438,301,798,086,723,236,
393,062,990,304,228,517,047,963,304,450,248,378,902,878,343,739,513,936,638,
202,776,878,671,993,478,814,821,217,654,617,547,954,814,315,535,433,158,676,
631,528,797,708,945,017,061,811,381,522,571,228,219,282,642,689,650,457,227,
992,556,800,389,188,139,052,209,935,153,423,843,075,578,571,860,526,563,631,
662,010,460,435,115,887,269,207,587,665,459,147,793,516,457,513,197,450,856,
527,542,414,805,160,846,655,614,268,039,310,958,976,579,076,575,971,094,079,
842,056,659,334,096,209,069,781,359,585,297,667,480,384,769,301,192,964,286,
369,159,496,089,171,159,308,527,613,311,398,919,055,656,498,146,600,163,635,
774,584,579,063,326,867,538,583,383,449,232,500,093,821,886,488,672,399,897,
259,942,423,837,525,067,717,793,516,964,020,423,670,923,337,822,639,728,232,
367,154,285,598,565,694,459,309,805,117,154,550,637,064,213,808,056,723,219,
781,048,255,269,487,207,027,530,705,505,227,745,881,434,983,763,400,077,625,
106,764,181,249,880,356,915,321,012,745,858,419,418,360,336,682,692,159,478,
579,910,546,348,710,392,455,214,899,204,087,830,027,097,453,025,896,574,046,
491,963,332,717,432,351,763,518,791,472,625,920,166,509,579,315,749,799,524,
670,762,906,849,843,263,411,052,912,309,632,164,044,221,376,351,357,638,368,
107,155,068,747,484,481,374,126,619,835,147,366,750,384,718,581,237,157,251,
484,581,681,033,587,612,920,703,031,437,226,126,783,308,786,783,546,515,386,
352,589,009,112,102,382,323,309,541,910,465,466,279,119,320,582,836,351,701,
517,634,630,277,893,456,133,806,185,283,198,745,019,830,279,392,455,388,116,
560,249,084,857,069,839,140,433,856,484,782,402,494,498,186,988,952,669,013,
921,091,948,008,030,369,070,553,125,360,782,317,229,979,650,086,284,660,783,
084,514,674,327,871,547,263,331,167,873,894,915,220,417,608,488,863,724,368,
491,286,659,416,346,294,789,025,228,668,024,681,663,765,110,788,637,056,354,
512,981,853,228,238,581,597,286,280,794,684,764,733,757,198,314,634,937,339,
469,267,479,257,062,282,717,143,910,567,641,732,494,358,239,964,237,782,574,
792,744,372,747,135,219,251,187,156,884,985,026,815,503,151,420,435,687,622,
823,652,519,427,307,022,134,835,850,901,631,648,044,903,276,136,517,353,344,
110,283,903,448,256,418,663,563,596,862,701,148,995,528,086,637,455,886,916,
427,109,514,076,236,321,025,704,184,959,085,158,007,820,961,890,107,935,459,
197,537,646,561,369,458,312,427,274,252,939,460,678,902,917,397,245,337,079,
225,931,322,212,562,519,698,392,020,119,377,212,178,215,182,936,337,805,623,
026,291,341,888,331,455,471,816,947,399,663,379,960,896,565,473,430,822,015,
909,748,943,606,321,486,430,522,381,474,073,202,986,876,434,732,466,095,981,
267,484,921,641,514,404,349,574,301,758,947,544,935,872,758,824,610,178,237,
941,345,452,346,612,418,096,813,661,286,030,835,471,565,103,016,853,092,910,
038,519,619,746,292,875,084,493,733,854,567,100,129,363,958,158,236,266,032,
800,165,538,085,430,504,634,832,287,079,340,410,875,373,157,561,665,422,698,
187,924,004,249,391,147,661,917,812,088,981,030,202,848,347,899,518,292,370,
955,969,661,206,308,489,236,588,663,553,712,563,761,565,710,530,292,065,988,
903,455,168,271,450,736,326,407,783,254,002,216,995,063,392,612,343,614,790,
513,386,320,288,014,929,896,803,299,772,740,549,940,130,060,231,208,607,699,
581,989,014,524,321,965,169,092,377,082,883,526,569,195,096,283,471,729,060,
929,705,899,355,448,089,464,434,538,859,285,513,154,435,574,778,379,286,448,
557,172,043,185,628,879,203,173,337,625,143,083,234,345,948,361,675,959,616,
218,821,129,500,168,754,003,689,451,994,515,192,800,816,691,287,246,174,125,
501,003,926,544,187,400,796,807,018,132,412,736,305,731,009,226,781,920,397,
429,911,395,709,523,440,785,348,106,710,845,379,834,557,041,845,963,244,970,
213,642,544,008,055,797,667,274,715,551,194,083,133,547,401,612,354,087,368,
450,122,490,153,415,864,836,168,353,072,819,837,347,228,058,360,630,407,782,
003,029,178,773,678,870,046,386,457,393,787,855,259,831,624,288,621,727,020,
883,726,486,391,289,698,079,036,131,334,617,277,813,130,425,347,931,913,324,
797,008,437,157,048,633,062,969,421,217,611,533,505,400,083,072,974,418,684,
091,110,815,429,604,868,810,043,413,823,815,164,576,475,250,102,006,495,056,
767,397,947,022,853,669,250,525,507,068,723,341,214,110,707,162,037,562,901,
653,959,062,089,843,496,444,785,842,219,505,860,805,640,974,610,061,835,816,
184,274,480,192,167,880,040,928,016,425,036,632,472,725,771,961,296,211,895,
404,121,803,712,994,174,664,630,072,135,714,312,225,459,924,573,500,496,237,
786,342,381,340,316,306,946,290,633,408,588,611,149,724,655,412,639,519,782,
925,006,496,752,874,078,761,313,844,961,490,155,823,108,588,966,963,994,991,
340,604,018,445,196,552,676,170,713,627,971,827,929,972,156,082,161,952,186,
243,625,508,812,033,627,804,222,024,457,882,621,545,843,299,225,234,255,703,
415,787,824,882,333,252,922,944,295,581,151,940,096,593,530,660,562,297,009,
281,739,914,765,567,348,614,502,372,701,356,492,841,035,128,899,100,784,290,
826,823,333,107,899,173,082,901,034,370,960,303,813,222,167,054,366,578,998,
455,442,986,105,674,521,705,189,478,207,665,299,642,907,255,871,622,828,940,
412,213,848,945,706,657,326,588,524,027,292,020,694,630,893,152,080,765,014,
904,664,574,556,707,278,321,506,945,231,138,905,815,417,974,315,613,263,234,
300,836,983,432,622,764,297,054,213,674,591,567,656,726,650,994,731,559,789,
966,810,748,745,289,684,403,411,439,733,552,452,546,604,594,437,213,713,085,
566,169,975,869,012,983,931,890,931,590,089,776,085,149,963,714,982,179,455,
801,872,784,517,747,558,380,296,625,521,875,967,773,808,886,576,153,741,935,
409,835,246,487,208,389,565,511,046,064,235,321,940,241,395,581,429,880,101,
642,313,610,968,327,912,284,289,451,555,177,664,074,908,323,175,030,582,463,
760,705,114,283,593,968,974,808,460,768,155,330,218,703,430,823,294,064,118,
524,177,011,349,599,827,120,866,984,862,746,841,199,561,854,174,976,468,576,
775,637,631,507,781,882,295,548,193,279,212,779,118,369,703,812,777,452,753,
007,395,176,951,905,936,700,068,879,318,648,148,445,578,968,865,035,010,073,
164,650,269,930,775,513,343,769,348,245,876,785,791,099,661,639,352,673,423,
531,002,540,276,321,285,969,416,552,627,197,421,050,670,959,939,369,735,607,
241,090,851,471,439,368,921,224,149,428,722,774,049,123,142,686,314,701,725,
281,420,105,512,360,762,522,880,586,462,941,339,794,215,060,817,493,190,138,
831,314,261,405,464,800,687,038,616,048,978,306,098,165,235,794,359,658,981,
819,380,588,334,216,704,440,163,101,984,657,854,102,045,661,872,640,761,274,
762,376,672,366,650,939,946,138,997,812,191,428,773,080,857,810,240,175,075,
912,166,188,616,806,390,667,248,453,950,030,163,991,061,501,201,549,505,474,
649,380,307,133,618,924,445,020,528,259,431,175,063,605,972,741,910,415,956,
404,179,778,910,535,947,727,158,063,919,683,428,287,098,262,634,095,304,612,
480,562,351,240,592,467,520,504,553,262,946,461,637,694,335,051,190,478,636,
870,346,741,604,312,593,564,985,770,009,084,716,608,496,158,651,708,371,464,
342,726,281,866,031,895,944,681,485,151,576,435,113,356,995,068,388,753,313,
753,705,253,039,135,233,975,817,338,943,075,614,231,585,186,670,299,128,144,
823,535,577,410,938,142,339,202,632,242,118,812,855,298,317,828,137,870,311,
004,929,275,297,186,425,872,959,606,757,706,411,248,722,337,531,056,786,749,
705,094,629,846,032,243,302,039,635,999,341,428,984,784,546,622,637,251,437,
856,145,719,416,479,516,893,001,986,304,389,454,513,210,077,645,373,274,763,
576,590,386,254,147,275,995,162,609,909,507,738,253,101,104,644,325,316,209,
473,141,382,831,951,364,798,116,032,117,088,368,827,996,426,019,882,180,958,
538,869,752,038,485,030,884,853,614,663,504,772,192,530,487,416,218,412,753,
505,902,186,439,429,179,037,696,398,262,604,390,691,927,098,240,839,678,756,
577,590,730,953,402,800,007,534,351,926,457,953,600,408,640,206,521,787,722,
690,983,166,828,811,165,502,054,776,359,318,057,053,930,113,880,236,473,911,
099,035,831,494,498,197,041,502,281,057,475,188,160,071,310,101,281,240,180,
445,592,417,386,370,370,231,188,928,564,276,757,428,932,256,776,388,848,730,
018,711,087,066,806,329,997,739,217,988,173,670,013,209,522,606,262,764,616,
011,616,179,981,684,495,603,364,293,914,474,004,260,623,414,046,559,737,446,
914,315,307,789,372,760,983,284,160,496,456,428,083,071,603,759,806,570,481,
973,010,740,415,756,501,628,480,719,610,540,942,648,869,444,710,627,871,292,
036,052,716,506,401,309,321,843,269,327,937,528,873,308,459,221,759,916,516,
368,141,799,663,770,827,428,802,251,052,425,931,277,663,529,207,367,905,987,
892,440,082,364,819,503,456,043,181,504,805,363,005,201,425,496,280,119,528,
155,037,977,838,059,141,968,103,194,234,329,662,211,255,311,124,597,047,872,
547,832,604,171,634,987,807,289,849,122,625,350,135,651,778,182,008,723,302,
578,491,531,223,860,696,188,956,284,402,993,776,743,773,593,706,596,911,856,
540,284,627,499,656,307,151,266,630,297,489,259,435,160,759,468,329,522,512,
823,819,638,190,445,836,059,474,765,553,704,373,846,312,243,000,011,636,060,
105,580,446,302,586,935,049,937,773,190,150,821,033,663,727,210,189,627,126,
238,369,427,046,036,306,971,021,978,647,391,224,196,130,984,512,205,543,724,
722,430,846,931,614,049,721,117,016,950,088,834,004,194,351,320,576,276,365,
892,977,815,338,775,392,885,135,630,299,172,326,162,671,018,948,157,503,077,
848,463,230,030,480,346,278,404,018,055,044,681,197,274,251,905,099,303,231,
467,422,294,221,542,999,166,762,730,440,384,206,108,207,994,192,409,800,625,
786,139,185,723,485,509,581,990,646,890,124,677,674,298,846,403,758,016,104,
840,499,291,400,972,350,553,909,500,687,640,906,879,638,919,654,493,629,630,
902,665,366,698,094,069,081,436,919,526,853,584,344,461,424,104,394,366,570,
018,650,865,298,655,571,000,205,968,239,374,247,924,588,982,228,049,901,879,
006,781,459,169,832,475,103,990,701,563,781,529,247,195,985,099,742,679,734,
745,494,576,455,798,963,960,566,933,946,980,801,446,501,463,594,837,687,279,
714,912,790,116,283,376,939,919,741,453,592,933,712,357,882,073,135,741,240,
650,240,300,776,315,141,374,345,489,187,196,923,001,328,954,941,202,164,150,
003,695,648,366,905,323,137,244,890,192,738,006,515,168,926,314,828,700,931,
126,885,624,515,088,871,311,776,220,431,989,356,309,732,451,431,096,626,337,
450,669,407,163,550,832,990,263,974,600,581,457,179,302,873,662,343,075,315,
717,982,864,037,869,334,520,256,025,585,207,829,278,256,814,938,717,828,385,
233,484,924,798,175,239,309,929,483,824,312,873,319,011,273,237,654,355,481,
507,907,243,588,837,918,454,592,857,096,131,274,448,176,244,333,212,815,612,
155,627,405,239,068,410,365,306,660,723,378,817,524,843,569,306,303,842,343,
468,158,296,176,707,494,787,249,636,053,522,335,309,545,569,822,583,296,425,
259,735,995,700,698,562,412,961,568,456,917,880,983,342,351,431,680,115,770,
238,133,915,394,034,670,766,644,888,622,343,608,261,165,592,326,489,699,580,
885,996,605,360,136,519,776,148,409,316,704,195,266,294,693,786,024,988,148,
982,317,897,728,975,849,897,114,104,502,986,851,580,977,639,486,326,158,460,
174,880,748,902,708,892,152,625,095,238,377,539,072,072,708,541,332,744,235,
724,148,089,990,160,468,826,489,947,392,424,302,716,047,044,827,866,473,808,
061,533,108,500,750,745,290,064,571,178,845,520,162,231,595,081,886,302,941,
196,862,420,749,387,436,823,933,074,265,129,244,510,992,494,619,391,987,315,
492,955,227,289,750,810,617,218,633,329,608,702,988,943,917,632,707,888,593,
058,644,501,889,902,562,849,409,616,657,567,658,246,359,985,515,660,085,967,
789,137,139,921,710,927,574,696,058,403,542,327,203,636,349,347,684,853,170,
966,985,647,814,703,401,037,620,157,992,963,958,122,395,936,531,953,073,012,
769,997,842,134,198,435,937,892,673,852,071,120,393,632,157,748,060,965,291,
119,274,699,487,028,077,393,062,152,321,502,102,667,919,740,916,707,019,983,
984,179,719,395,455,045,278,465,997,502,891,115,680,088,278,715,994,325,595,
336,571,544,451,765,994,192,656,148,067,070,843,272,054,392,047,674,336,799,
204,767,385,780,397,840,631,004,882,101,170,255,343,161,885,573,341,682,225,
958,403,825,404,758,520,894,337,172,962,844,242,058,363,028,648,287,500,095,
402,405,229,312,802,035,024,487,539,512,564,043,039,584,090,876,678,174,446,
610,069,187,709,105,084,717,245,356,245,580,871,857,669,114,399,016,630,237,
512,487,795,873,475,669,157,311,798,294,095,931,360,855,421,887,825,297,727,
611,540,645,946,114,517,245,961,468,438,446,805,177,902,016,051,621,058,713,
894,783,236,576,570,829,431,857,802,262,589,837,611,202,706,707,360,824,171,
176,306,864,172,429,998,433,566,384,530,857,672,362,995,453,927,941,286,524,
289,645,126,306,598,327,815,577,938,767,699,339,696,370,102,511,600,688,543,
264,953,619,199,451,604,972,188,630,516,753,448,047,691,098,353,922,465,677,
384,964,833,127,485,614,743,072,995,508,879,173,214,194,510,220,149,293,644,
148,250,927,381,412,009,379,944,602,317,956,071,800,037,132,608,833,461,883,
591,393,363,123,865,870,459,601,443,880,324,703,679,005,118,240,331,605,447,
979,392,231,910,740,091,678,106,999,204,652,517,199,531,270,390,472,177,274,
486,091,915,805,719,015,083,334,972,798,092,358,125,860,715,523,743,830,525,
437,312,630,438,467,049,016,409,703,395,264,332,865,471,263,392,373,488,049,
107,953,617,845,924,024,934,544,827,552,263,875,855,140,268,183,013,933,631,
167,442,455,129,726,494,848,631,120,750,640,433,121,401,420,708,086,152,246,
035,624,198,131,697,963,348,853,566,608,319,502,583,956,724,067,398,290,091,
921,202,468,201,934,468,803,807,666,486,402,598,020,437,501,430,028,088,491,
472,004,396,531,419,022,800,288,907,635,245,329,392,558,121,177,194,128,175,
756,263,991,627,188,058,950,384,442,750,516,056,171,109,519,004,716,739,070,
036,675,827,638,468,017,011,941,047,516,791,186,639,034,202,692,670,807,856,
563,601,544,656,751,711,280,346,043,511,211,786,605,363,842,072,440,957,271,
978,936,958,408,332,071,851,926,222,455,191,903,358,767,539,597,491,556,737,
010,281,768,936,472,111,727,201,869,912,557,646,132,053,649,159,422,887,510,
769,008,806,231,066,590,447,145,033,290,164,823,806,953,378,527,504,202,195,
333,637,234,303,030,876,578,967,387,579,192,905,799,862,015,864,053,313,769,
755,081,204,124,661,018,736,875,785,375,017,904,548,414,944,272,740,646,128,
032,259,423,386,930,662,626,447,683,933,881,001,599,220,137,257,321,510,467,
263,876,478,714,631,350,352,687,007,323,013,462,959,274,885,796,883,398,304,
117,594,202,544,866,664,925,114,524,713,890,656,261,563,643,675,817,440,166,
250,259,540,976,902,948,257,034,274,141,299,653,230,519,173,505,877,518,756,
141,509,968,751,909,459,903,833,142,445,094,078,162,224,285,121,085,744,435,
757,834,627,726,464,635,552,576,788,165,857,004,586,826,296,879,350,239,252,
132,531,932,093,069,365,130,775,064,253,585,401,423,181,681,789,972,069,641,
538,660,038,011,555,353,008,208,955,810,210,485,577,066,051,760,150,075,725,
629,562,102,583,982,672,789,743,799,401,557,351,135,069,235,364,626,046,296,
105,888,859,813,656,732,532,776,868,990,999,527,212,203,120,350,129,056,078,
022,936,208,521,081,789,419,968,684,224,495,369,049,552,085,374,709,263,751,
445,168,520,854,856,890,041,381,807,888,013,780,776,315,794,753,555,101,817,
643,008,325,208,853,875,018,029,168,067,036,676,662,505,389,996,365,352,671,
009,341,841,295,903,809,717,565,934,845,983,637,261,752,186,758,735,936,580,
688,402,219,302,588,249,407,664,081,467,600,665,606,306,722,081,662,493,020,
886,544,291,592,938,201,619,689,479,756,729,381,810,492,044,372,638,183,424,
748,675,904,798,751,794,563,660,192,039,200,524,628,521,250,755,962,074,589,
681,854,108,703,381,384,439,032,694,896,085,215,269,108,323,293,655,440,619,
741,462,896,294,970,256,195,525,566,289,161,357,181,825,673,047,948,471,349,
446,554,709,869,884,777,714,045,977,999,848,111,227,192,706,082,192,486,992,
760,892,562,197,053,924,814,789,136,496,410,025,665,036,891,686,306,365,071,
968,199,182,345,039,039,787,066,729,875,433,448,225,198,180,093,615,453,171,
265,113,809,310,140,974,788,414,617,278,165,053,285,177,442,624,584,183,314,
189,787,334,679,205,975,091,768,275,166,496,365,660,546,698,527,459,567,544,
787,123,467,116,358,643,069,551,902,181,355,344,699,164,092,163,280,402,457,
275,062,898,550,086,330,434,062,203,533,344,658,363,553,328,350,115,669,363,
469,107,201,082,874,258,538,021,759,558,411,507,087,658,062,348,205,754,450,
904,333,366,566,480,413,072,103,086,934,755,212,911,890,605,871,849,258,986,
322,358,938,636,939,385,618,609,827,945,277,225,729,847,069,644,718,434,827,
075,462,677,266,368,377,522,701,462,590,525,616,694,960,454,657,931,012,431,
950,033,506,685,630,489,035,140,668,968,189,598,683,538,088,815,986,859,204,
477,037,932,529,336,897,022,458,005,527,025,693,451,743,775,257,848,453,537,
734,340,042,490,429,368,863,903,248,069,618,925,847,383,010,088,487,775,892,
012,746,010,333,871,810,891,832,321,928,207,485,834,757,447,147,212,276,506,
102,969,602,621,375,505,800,912,119,121,469,612,663,255,610,315,368,333,657,
501,430,458,784,273,411,562,538,478,775,750,942,071,210,214,379,374,181,516,
210,069,470,259,592,232,388,983,908,190,130,254,639,546,267,917,949,344,117,
845,136,755,987,392,446,842,395,980,603,548,506,908,348,196,661,953,574,456,
098,912,894,513,801,185,699,259,045,111,702,296,040,902,861,486,917,247,828,
171,027,535,596,123,867,948,967,895,869,407,980,681,769,601,684,775,549,162,
065,473,330,528,482,983,723,077,913,842,228,750,610,585,718,745,880,649,097,
397,510,857,771,133,032,190,423,408,681,911,454,788,053,002,810,839,477,328,
903,437,719,580,018,681,605,142,168,819,685,494,264,687,417,458,995,940,410,
857,664,619,818,424,483,949,072,706,871,649,945,199,340,814,648,318,303,414,
893,229,388,942,164,889,802,182,962,502,781,236,433,990,569,890,189,532,490,
650,541,547,688,676,992,700,617,500,069,129,492,632,321,922,482,439,773,031,
535,825,389,932,464,199,104,126,041,967,103,408,950,999,069,631,536,524,110,
030,783,455,526,543,417,722,540,468,779,904,674,337,309,389,005,500,067,755,
010,977,009,938,180,136,280,859,391,000,170,880,263,079,664,952,007,886,740,
416,977,645,677,256,994,034,251,641,352,230,710,492,616,920,058,569,711,783,
786,378,857,404,935,214,010,119,993,872,716,702,281,643,129,813,094,672,676,
041,329,781,792,111,603,910,789,120,522,518,098,161,694,300,275,447,431,806,
399,868,348,853,016,339,466,613,695,530,075,720,228,312,020,832,409,535,828,
329,835,213,947,923,462,262,593,286,459,120,487,200,040,232,510,060,724,694,
055,245,578,795,011,541,955,028,923,356,343,109,707,939,514,816,899,815,765,
933,854,704,774,671,619,139,005,084,999,574,874,378,965,497,357,608,471,978,
730,108,873,608,799,682,039,400,962,794,677,330,273,721,488,877,098,338,446,
196,590,617,744,495,510,529,913,961,916,674,228,821,405,561,248,948,430,739,
826,752,135,701,599,058,778,719,982,240,375,850,093,056,889,323,739,441,684,
645,712,249,779,426,505,482,020,460,870,266,936,739,639,619,503,585,508,309,
026,595,205,363,204,118,923,507,851,541,398,129,340,251,182,733,695,415,332,
304,703,692,021,319,393,540,648,694,898,263,491,780,858,211,102,260,203,004,
826,743,406,792,878,684,821,041,519,687,175,105,294,290,623,817,710,206,052,
180,654,457,182,572,306,170,681,934,863,975,281,349,476,438,215,417,642,964,
102,859,462,527,542,102,977,469,251,826,313,286,303,044,166,629,347,815,957,
235,795,773,472,478,485,474,004,162,097,762,209,126,400,969,900,434,855,073,
884,123,910,572,024,045,007,678,611,832,928,939,205,796,412,490,472,123,233,
796,741,241,527,608,099,898,350,174,912,923,576,927,211,664,600,691,332,209,
320,830,902,691,958,343,392,236,728,691,370,369,816,970,393,480,983,723,762,
096,245,982,014,029,639,215,616,521,954,768,630,575,279,451,184,685,138,697,
813,125,683,186,699,289,092,356,559,630,127,540,707,822,844,231,404,088,905,
416,430,145,218,897,726,954,186,977,529,379,822,055,301,882,892,556,476,152,
684,532,124,840,318,991,489,807,100,525,065,826,358,564,395,700,003,142,911,
210,552,701,839,440,995,711,884,210,565,966,699,863,682,287,131,541,349,672,
410,177,944,217,709,608,259,266,931,764,936,468,719,212,483,397,045,095,539,
453,940,609,025,524,004,122,521,827,669,224,174,931,165,122,978,898,300,812,
553,354,502,294,828,964,027,057,868,477,063,951,178,912,592,498,259,850,116,
403,368,420,466,236,949,797,451,194,573,281,450,189,116,934,940,710,574,546,
856,200,550,570,324,336,522,301,218,589,369,875,645,968,736,850,978,535,485,
032,612,020,288,434,351,024,427,656,774,533,523,062,541,019,683,966,687,611,
209,155,815,372,961,494,526,887,409,703,407,186,893,575,379,096,214,310,977,
734,154,594,885,514,052,289,991,844,700,080,611,962,459,509,776,836,655,817,
637,581,184,404,871,981,113,649,083,901,004,635,976,625,837,714,512,570,262,
983,607,358,797,827,556,641,404,599,001,143,454,855,477,704,668,432,070,679,
955,877,516,164,240,032,569,962,122,597,068,158,339,013,058,001,235,214,427,
682,916,888,411,196,145,815,154,752,799,518,021,549,401,789,896,147,506,804,
401,171,180,305,322,883,022,888,826,370,867,994,834,727,058,348,732,487,863,
568,981,169,229,616,989,510,625,026,628,934,426,792,015,452,322,913,221,462,
793,747,891,053,091,280,384,181,088,113,808,220,982,488,072,388,429,749,984,
971,176,563,606,824,744,399,351,670,219,089,634,344,727,703,414,137,620,120,
721,726,897,994,567,509,286,471,647,957,197,219,481,605,561,649,154,621,969,
058,505,957,746,570,029,439,581,641,674,897,111,623,892,000,831,054,899,022,
799,934,688,655,200,076,854,480,653,478,001,637,145,134,987,297,449,089,089,
784,610,161,656,884,858,002,709,805,619,486,815,285,659,206,342,603,716,381,
484,672,434,270,596,118,616,614,989,590,417,755,281,949,068,599,864,408,886,
426,556,520,739,857,136,955,599,019,095,326,808,415,113,688,824,919,130,354,
051,058,238,744,510,428,350,071,536,109,540,860,235,459,186,449,974,616,595,
890,346,565,036,889,279,044,268,149,987,347,396,513,818,665,371,588,461,098,
506,944,664,501,526,906,831,620,688,203,713,316,644,523,179,614,614,161,849,
511,021,614,178,786,813,889,696,683,111,682,956,724,425,508,124,991,533,564,
695,906,585,503,054,963,027,441,714,204,863,609,946,955,193,805,311,343,071,
830,291,590,410,385,846,253,902,024,068,579,465,640,079,503,852,280,882,586,
310,816,863,505,201,053,017,770,867,011,831,491,865,293,328,085,284,766,922,
232,680,544,973,337,636,194,464,399,700,919,764,399,340,826,644,761,332,338,
865,307,949,214,644,600,038,571,788,914,339,429,023,090,697,685,492,826,578,
211,994,154,011,411,990,641,084,327,805,569,889,736,282,341,110,341,672,426,
460,616,293,352,451,769,905,542,215,569,603,283,459,266,215,131,209,664,346,
125,386,238,294,442,076,568,938,941,354,678,176,092,128,816,937,341,552,552,
838,624,091,350,777,317,143,024,646,737,439,824,289,545,410,978,845,680,860,
351,586,769,598,664,002,954,594,197,641,100,722,393,671,570,643,654,689,257,
627,826,471,424,730,597,263,409,422,963,118,717,064,410,483,266,524,772,887,
912,758,246,922,270,665,349,964,430,863,977,830,813,061,905,138,852,339,870,
870,645,965,467,397,522,730,166,394,941,776,611,059,300,229,566,788,751,202,
461,433,597,164,276,843,369,465,623,788,836,335,193,532,047,147,710,436,056,
413,598,888,680,280,852,759,310,243,660,999,523,405,470,153,147,737,564,761,
962,836,852,491,846,180,477,016,880,043,174,121,365,499,377,508,697,477,191,
491,611,647,780,630,456,807,836,522,754,542,125,195,708,203,279,578,734,036,
787,818,945,007,552,416,768,104,770,760,764,146,439,955,820,589,814,594,292,
517,724,307,271,750,280,001,314,406,279,200,869,894,345,635,078,616,641,787,
464,642,291,418,830,806,134,205,358,650,926,165,852,126,911,354,849,433,322,
356,105,529,269,793,012,519,563,573,976,708,535,943,619,951,470,905,323,158,
782,158,350,497,970,576,490,175,403,706,326,505,395,581,514,826,748,694,748,
706,546,193,964,044,602,656,788,024,826,892,345,661,994,147,310,481,994,381,
757,626,422,368,299,699,572,191,098,755,986,324,391,924,729,644,533,218,277,
873,776,769,598,083,635,946,519,277,497,472,515,379,355,594,267,104,074,061,
712,842,879,261,650,831,164,330,494,740,195,492,595,590,760,040,068,335,853,
041,979,598,933,113,919,868,259,587,265,919,534,788,403,436,416,412,823,448,
167,488,171,537,220,503,534,390,607,388,693,082,050,180,345,306,211,844,825,
496,368,004,395,231,211,305,269,067,128,902,786,760,416,843,360,637,286,336,
367,574,170,020,851,221,598,512,103,656,502,392,899,541,909,624,410,017,894,
142,823,325,919,358,500,009,954,989,502,699,632,330,892,842,654,549,407,561,
703,231,217,327,407,654,570,902,454,476,425,094,353,699,045,990,251,816,425,
236,950,426,912,353,763,119,414,444,618,510,251,635,661,404,924,236,072,236,
337,571,500,347,128,048,477,201,767,958,447,323,024,839,087,266,598,910,655,
257,457,313,436,514,496,804,764,486,952,991,217,059,890,169,942,544,016,287,
077,659,106,186,808,387,135,618,710,318,347,863,385,515,453,485,189,877,430,
284,547,254,150,899,136,492,138,834,908,849,021,333,344,091,591,447,412,774,
317,464,444,039,956,035,044,926,431,869,063,845,406,188,583,852,856,626,667,
494,980,704,092,614,613,062,235,078,546,058,899,877,703,144,435,277,564,829,
387,364,510,034,765,280,290,931,557,623,014,688,623,893,619,917,764,129,084,
244,861,350,302,040,248,819,490,007,757,864,918,317,768,960,615,210,531,861,
314,096,014,265,353,056,989,042,688,641,998,699,387,136,192,431,468,126,679,
896,457,644,045,309,177,133,043,665,316,191,649,680,538,116,683,404,745,309,
651,355,964,361,191,171,635,408,672,361,024,764,040,605,410,189,864,571,965,
839,406,820,803,763,503,016,072,880,950,613,507,208,534,487,269,248,603,496,
302,081,681,537,113,760,474,704,073,123,983,962,015,316,301,503,945,505,321,
700,703,375,692,933,892,200,534,691,294,697,272,379,460,002,931,157,920,144,
789,616,978,179,432,727,308,111,223,498,236,439,198,153,194,017,037,419,441,
197,345,793,674,458,410,156,407,053,735,133,835,977,822,021,425,367,744,670,
356,220,649,420,436,785,186,412,567,434,744,307,471,307,286,682,372,213,588,
382,140,273,761,073,729,766,587,216,590,592,141,122,606,931,512,151,479,365,
375,739,674,618,932,962,513,981,246,850,770,774,571,853,488,947,201,738,781,
380,838,841,287,601,223,733,819,065,166,928,634,968,403,523,524,941,874,550,
376,953,339,816,423,624,928,456,491,880,518,231,599,023,234,012,387,653,382,
583,527,715,604,760,335,206,147,892,312,818,159,071,028,195,198,975,939,577,
597,280,100,540,594,519,425,090,959,789,614,209,986,547,968,313,103,101,100,
063,420,462,561,496,360,390,515,291,964,469,524,252,236,985,894,903,499,500,
258,938,666,511,897,826,629,446,757,665,299,939,359,827,493,385,176,590,007,
026,624,193,640,009,459,498,076,808,767,918,693,859,228,605,986,548,649,528,
419,063,058,484,647,993,037,748,881,718,928,785,966,142,274,827,138,751,765,
633,091,997,708,546,672,830,148,723,618,777,492,297,431,296,240,482,697,504,
926,505,232,841,066,644,099,953,065,914,746,257,413,158,473,931,288,183,432,
634,884,528,335,675,732,447,142,203,103,509,311,370,382,386,274,804,192,199,
560,797,267,544,450,386,513,877,071,362,055,651,922,823,157,657,965,214,388,
518,398,238,880,126,877,509,476,755,165,187,641,171,821,099,576,409,988,956,
413,288,290,846,367,250,387,754,914,137,044,624,274,916,955,755,301,863,776,
887,181,924,502,889,815,860,109,701,359,510,069,668,920,408,318,439,868,304,
385,642,071,363,343,344,409,917,948,075,336,730,160,933,456,075,954,262,794,
899,742,620,791,329,965,936,353,313,377,383,176,536,207,813,366,107,850,059,
524,238,346,743,908,180,396,394,612,530,340,437,130,302,999,191,730,815,679,
825,489,239,261,449,682,150,909,755,006,242,274,794,962,423,419,787,316,721,
484,186,597,468,190,400,238,811,393,086,296,741,451,805,396,440,671,693,356,
646,073,515,195,420,603,880,230,949,984,651,831,699,484,529,020,516,675,338,
159,869,391,713,701,284,954,227,242,027,120,568,237,582,538,039,192,112,967,
116,778,876,327,155,861,108,793,473,753,499,579,109,111,637,387,972,366,364,
294,836,956,224,339,144,658,836,229,703,753,607,890,670,252,459,511,931,792,
643,770,433,073,309,936,032,814,435,621,223,155,418,328,908,208,196,946,186,
603,663,872,452,548,550,122,285,796,121,340,683,259,881,319,459,443,531,051,
099,051,982,458,751,689,406,036,488,108,186,091,793,367,859,663,922,093,292,
512,335,638,774,776,154,622,176,328,897,104,382,814,254,457,329,874,567,074,
196,317,482,786,132,181,953,677,307,340,640,105,141,859,342,481,175,941,343,
371,556,683,840,302,537,371,748,945,146,822,595,786,693,777,732,033,385,746,
380,455,876,989,229,673,136,520,915,724,189,342,841,517,194,589,108,704,791,
431,380,310,545,504,218,844,134,801,655,970,993,053,261,550,377,424,196,535,
981,957,255,693,328,514,983,509,388,310,425,460,426,024,001,033,998,727,310,
357,123,548,422,400,374,345,333,501,617,165,198,683,535,588,539,837,023,724,
112,195,621,950,533,959,976,744,312,630,529,855,308,274,066,060,862,966,385,
498,787,762,601,250,766,464,591,632,123,300,180,995,139,691,044,897,023,143,
857,537,673,452,269,829,003,127,024,098,264,083,247,650,329,425,749,516,589,
941,859,495,978,589,874,702,121,126,699,197,060,035,868,273,558,849,272,931,
168,543,310,743,483,104,049,467,640,335,745,205,071,399,484,313,709,282,556,
070,876,914,175,665,386,068,066,117,109,310,925,048,388,068,191,252,332,471,
737,579,310,900,673,638,570,006,352,746,908,548,336,700,014,804,998,686,053,
334,290,147,064,317,646,905,584,740,759,318,025,148,543,205,615,946,760,855,
727,753,046,095,000,524,958,348,525,839,965,845,826,114,032,071,884,778,033,
224,537,922,247,349,149,360,950,723,256,013,626,049,963,528,481,053,197,581,
520,278,369,556,968,350,768,313,153,772,945,446,589,700,694,355,048,753,036,
403,722,883,274,752,264,988,287,703,845,281,173,439,146,479,396,778,199,670,
587,069,037,223,685,732,578,147,678,791,364,993,051,636,683,175,826,368,846,
072,921,232,799,785,460,335,182,826,028,160,326,094,074,280,297,167,952,027,
550,621,807,638,374,677,869,214,375,698,287,808,615,386,225,962,825,262,161,
910,569,532,557,864,433,161,241,191,235,980,708,405,595,758,245,329,779,426,
591,408,350,081,287,633,722,667,337,816,744,011,789,903,542,738,881,242,085,
385,967,802,103,122,938,309,866,717,409,297,622,175,269,400,333,476,058,030,
649,885,820,367,120,290,605,148,245,674,538,360,806,256,252,262,138,659,695,
250,689,981,401,710,033,704,153,809,076,430,646,704,058,684,006,357,506,393,
504,830,175,239,332,748,560,005,958,411,128,295,816,580,989,567,743,843,380,
352,721,074,026,526,371,155,745,717,238,441,134,262,295,736,092,048,578,697,
738,563,834,357,782,483,346,863,985,942,252,708,558,569,774,759,340,314,113,
369,423,607,866,402,920,343,804,198,444,489,164,405,194,126,297,663,280,656,
995,277,345,182,621,713,777,813,092,392,930,012,537,423,337,264,621,010,161,
134,594,223,520,505,316,195,495,291,166,152,574,358,921,000,520,814,943,739,
016,828,538,002,553,787,992,438,596,192,801,211,176,251,625,538,574,878,856,
739,468,101,770,401,184,072,715,620,203,040,710,528,507,947,207,141,810,511,
064,645,950,138,995,142,300,469,037,904,102,019,956,504,570,729,163,912,745,
508,646,714,923,564,624,410,186,040,190,161,082,877,817,357,825,008,546,260,
686,452,375,737,351,626,238,331,781,596,024,416,389,694,990,183,323,012,914,
812,195,189,017,748,953,799,332,394,396,018,232,686,106,471,996,886,720,092,
696,206,510,408,611,016,932,851,974,989,011,402,552,800,733,740,913,450,835,
295,793,381,132,247,688,347,275,999,803,655,714,123,308,205,162,187,648,246,
524,945,972,211,787,238,174,665,715,202,320,498,235,346,686,535,709,006,050,
529,425,568,295,290,246,533,602,826,223,557,936,857,203,453,416,331,296,465,
153,153,708,737,811,477,353,341,874,453,428,151,864,045,312,185,564,132,605,
601,809,358,137,143,812,031,411,683,040,096,220,795,106,524,227,963,225,222,
185,072,132,637,023,794,891,098,099,601,659,177,699,010,983,218,716,838,505,
808,879,737,935,249,841,281,925,586,470,804,179,661,444,095,742,379,327,312,
352,625,866,686,487,041,417,609,308,892,699,382,859,549,339,363,611,546,576,
603,519,206,398,677,664,615,240,191,336,695,240,383,899,132,045,814,941,479,
033,768,396,575,000,057,208,086,355,565,636,155,769,326,495,682,750,449,596,
720,275,466,824,303,617,178,420,489,089,906,480,261,375,575,005,432,055,856,
094,927,422,639,230,200,900,720,506,519,282,587,621,308,157,289,791,708,780,
271,775,580,956,147,419,647,663,719,561,047,134,395,018,799,062,203,923,370,
320,815,138,726,775,416,051,017,926,159,665,817,755,835,255,415,137,840,581,
017,522,581,394,418,942,260,700,159,237,048,363,640,781,001,792,016,433,225,
697,844,186,236,371,642,724,912,511,264,542,609,664,617,081,566,803,133,282,
442,185,255,640,371,278,665,897,370,499,945,375,592,902,810,417,265,991,227,
772,642,080,602,626,962,678,684,105,376,965,367,484,557,217,983,540,572,469,
738,848,037,302,015,355,513,655,614,242,278,413,188,905,959,685,039,100,441,
433,521,913,266,934,585,766,038,497,855,978,292,638,779,218,277,565,160,217,
568,019,336,145,520,928,110,839,750,017,057,467,596,141,552,323,605,231,575,
047,321,976,932,783,374,530,236,228,593,662,539,782,544,869,336,429,900,896,
905,913,160,669,423,537,300,268,211,230,135,995,314,968,668,812,760,608,610,
181,632,548,220,428,924,449,798,022,095,182,673,630,498,368,145,451,164,592,
490,958,512,894,564,051,603,430,395,080,338,803,490,212,240,532,070,012,896,
156,869,724,045,164,042,854,484,807,611,533,086,057,913,890,984,291,865,969,
104,843,997,144,050,180,298,869,171,334,208,240,344,402,220,586,296,972,836,
572,838,870,257,696,875,592,537,032,027,226,851,410,916,949,769,641,638,691,
914,601,052,367,629,099,804,210,687,364,778,879,157,326,216,951,807,498,855,
393,965,398,704,104,849,857,312,143,624,579,447,493,772,863,049,011,896,212,
148,516,285,347,289,269,076,262,663,283,234,805,198,294,476,388,120,486,454,
219,411,453,140,649,119,564,152,228,774,295,931,907,112,160,960,741,692,205,
392,266,556,368,201,540,970,582,376,443,353,809,872,275,678,620,010,189,211,
626,398,662,183,272,762,925,831,562,252,378,465,322,377,965,572,649,171,634,
294,755,735,465,917,505,596,992,204,072,646,031,248,388,404,935,355,205,887,
040,910,497,300,891,836,255,638,685,292,550,711,501,958,779,474,524,957,227,
114,206,487,272,332,251,970,838,883,829,389,735,984,132,204,719,881,601,723,
184,950,834,740,700,069,417,571,228,208,610,867,609,002,998,468,149,203,619,
707,262,342,092,284,486,056,143,062,016,135,998,207,559,394,977,345,529,184,
266,381,290,226,008,472,070,684,766,014,435,007,417,796,841,475,503,185,049,
053,328,149,864,147,641,083,888,414,029,561,668,825,735,013,927,450,982,572,
615,928,292,801,746,293,703,230,143,019,615,856,518,586,540,054,170,575,741,
785,171,516,689,370,100,963,565,341,551,271,733,512,935,168,431,772,366,929,
014,643,012,572,024,479,527,168,621,277,729,119,710,643,176,472,357,410,980,
467,263,996,292,846,454,448,850,602,977,513,838,926,873,912,698,833,928,030,
554,117,614,585,806,007,430,629,917,298,129,125,788,699,887,303,247,873,022,
866,050,626,091,890,038,483,794,940,106,452,198,488,898,878,663,587,371,423,
015,608,625,878,945,118,544,822,226,497,935,373,234,129,596,610,945,598,633,
789,041,680,182,258,812,536,980,154,376,936,653,672,598,874,333,590,549,663,
548,570,987,911,729,420,159,755,370,776,870,546,133,912,715,535,892,575,758,
834,228,547,557,456,051,933,345,102,696,529,060,887,823,905,731,377,108,337,
869,184,994,521,303,819,807,669,852,055,371,543,970,280,536,137,958,864,039,
781,933,624,316,300,174,353,452,861,545,033,338,027,779,415,303,331,381,677,
822,524,340,578,959,925,946,018,257,345,782,090,162,626,814,916,910,368,558,
269,186,014,368,337,129,969,631,072,138,287,565,076,631,921,608,224,657,145,
816,498,370,437,220,131,473,963,618,009,286,939,613,279,003,405,354,137,301,
584,694,803,431,251,353,773,870,519,073,192,687,504,548,971,818,831,651,283,
406,094,446,256,511,996,465,386,847,165,058,540,591,307,732,964,524,390,991,
564,945,220,102,631,125,633,623,360,326,552,001,457,788,354,098,650,527,823,
795,506,400,031,056,867,728,071,047,896,534,827,900,679,799,102,897,712,979,
205,107,621,505,352,500,664,602,027,756,072,696,176,620,373,548,879,614,036,
369,468,832,709,232,365,500,405,260,067,845,259,400,250,999,427,415,389,837,
946,459,168,787,579,694,421,970,838,713,699,495,415,676,521,770,067,155,700,
263,754,372,861,804,767,922,087,504,451,683,884,722,058,989,556,239,590,817,
669,663,575,253,137,719,025,555,593,002,979,638,712,695,395,677,028,002,265,
787,852,369,316,632,831,898,978,173,314,353,876,752,401,796,957,140,060,380,
266,797,214,405,527,117,917,985,628,130,854,217,699,813,493,428,383,666,193,
493,654,381,927,175,251,599,016,552,323,346,652,055,719,036,967,861,876,409,
039,333,782,808,667,225,889,497,639,843,016,934,417,484,589,843,045,410,114,
690,137,450,539,932,042,610,695,379,555,082,520,793,630,459,011,617,247,390,
658,866,961,688,419,858,443,614,325,889,305,402,731,793,151,883,448,072,478,
497,084,209,771,895,613,829,524,171,609,244,229,151,394,318,633,163,676,794,
581,360,714,489,017,618,445,169,803,361,193,477,919,343,340,887,746,371,666,
366,897,900,358,186,863,745,934,977,236,130,360,040,817,448,560,166,887,525,
912,419,183,236,840,588,183,558,427,841,854,374,415,059,740,390,038,847,347,
632,778,212,804,027,240,898,627,235,788,452,660,894,843,281,071,488,693,097,
301,901,383,724,464,263,907,703,396,939,464,565,627,361,783,301,646,504,442,
946,766,008,236,206,479,989,635,987,883,919,506,610,590,524,061,257,811,467,
130,671,837,987,123,387,740,532,268,636,600,488,988,458,960,035,398,482,995,
764,147,190,468,558,498,191,521,327,320,971,831,620,927,826,969,895,877,812,
430,253,000,976,758,951,710,992,897,040,235,377,014,579,114,813,025,953,394,
349,036,880,980,117,788,227,041,023,941,209,311,658,100,013,890,360,754,747,
308,434,108,872,010,282,936,649,781,843,996,353,078,646,148,722,334,566,458,
538,404,510,446,611,896,597,907,268,291,368,433,682,669,938,621,205,916,045,
342,055,304,535,272,183,624,945,375,355,530,115,434,967,491,844,351,362,723,
451,643,887,403,000,851,017,257,734,784,109,797,498,159,941,506,861,788,434,
711,334,023,894,949,934,861,849,496,364,505,866,721,548,008,494,850,417,846,
394,335,540,138,712,871,818,238,254,026,392,937,180,381,482,661,725,307,783,
208,762,556,080,316,338,583,015,228,278,636,710,828,045,029,313,058,884,041,
121,681,937,001,393,229,230,234,484,500,436,237,151,024,010,616,314,760,270,
142,445,503,945,740,283,576,675,739,257,542,030,557,213,934,843,213,088,196,
399,713,358,698,958,587,374,951,493,773,965,435,386,180,443,082,331,089,376,
912,129,903,300,950,478,035,676,531,692,122,943,062,614,936,714,384,058,973,
123,904,960,652,180,360,900,061,252,797,010,746,801,392,964,695,686,769,535,
536,769,519,170,771,709,467,075,585,000,271,824,622,146,193,645,265,578,547,
124,374,677,485,567,678,221,865,466,795,982,784,622,397,248,953,224,035,288,
942,461,798,806,570,659,527,288,417,850,144,705,471,125,869,627,249,409,862,
194,757,385,534,576,827,670,490,520,059,287,366,765,729,504,041,536,710,471,
148,853,656,375,475,457,177,195,977,136,604,798,883,718,779,384,732,468,186,
881,695,600,719,075,812,805,391,170,731,256,200,035,493,628,820,127,736,199,
272,799,632,650,009,651,129,436,030,618,927,606,865,944,845,058,770,216,879,
271,907,071,761,883,555,279,701,564,729,675,508,867,596,611,498,881,481,357,
908,224,021,507,562,072,305,288,314,790,355,149,428,098,347,698,164,324,528,
810,951,510,687,151,654,794,928,982,958,806,233,572,248,325,003,616,952,364,
897,156,504,436,720,830,982,666,880,137,256,225,735,517,418,350,401,240,846,
099,504,436,469,314,392,960,642,794,919,056,132,492,027,391,252,806,378,923,
861,748,997,217,427,401,842,031,688,524,143,665,395,481,007,010,191,545,494,
748,130,353,141,808,893,673,447,440,925,258,346,132,778,135,619,380,948,376,
819,318,157,888,156,608,967,968,804,997,907,553,674,640,085,200,660,199,466,
899,757,140,149,854,866,982,000,965,689,052,603,664,033,742,732,566,493,170,
206,277,339,699,970,091,718,861,981,110,140,084,767,327,584,367,384,927,949,
999,664,560,879,374,131,137,771,195,690,915,661,790,937,391,495,124,817,782,
670,973,169,863,113,288,512,669,920,967,882,355,994,832,140,178,356,282,666,
794,180,839,894,066,128,843,055,967,156,416,935,843,585,890,430,382,808,279,
367,328,430,631,798,855,749,047,381,137,271,378,644,705,741,511,158,843,859,
853,312,801,230,701,872,671,569,167,448,437,073,793,940,541,342,875,598,025,
694,197,649,820,193,775,550,130,502,140,883,094,068,527,000,021,605,210,212,
520,864,537,574,343,070,059,636,354,410,143,981,703,099,481,015,189,338,448,
920,089,309,475,063,267,864,016,056,428,836,275,898,883,199,698,782,910,745,
520,167,049,521,573,474,822,972,890,496,748,941,860,337,801,962,322,759,300,
647,363,551,136,632,255,522,649,477,448,316,516,835,202,164,023,580,930,838,
578,107,899,625,959,567,339,188,048,188,427,306,696,812,372,183,452,490,047,
218,001,599,797,356,624,850,505,291,837,416,240,367,194,365,740,906,105,719,
431,689,041,998,712,221,511,676,356,842,900,325,153,248,421,747,489,776,097,
145,179,421,708,775,566,589,519,948,670,480,329,588,863,939,461,132,724,446,
561,651,860,041,339,854,185,598,736,428,578,572,170,165,737,857,223,669,201,
444,251,379,144,782,527,074,143,540,633,640,192,622,407,411,370,447,694,977,
023,800,953,438,530,158,003,251,644,149,043,247,702,165,957,473,257,892,863,
218,953,247,396,266,102,795,062,521,757,465,078,739,533,291,487,278,958,942,
350,729,346,494,417,025,031,060,988,300,174,881,151,219,278,692,295,097,154,
352,109,938,099,345,379,270,634,411,402,030,627,254,666,873,503,354,101,807,
174,034,693,816,756,753,912,005,949,058,990,857,040,491,016,387,447,897,020,
204,152,797,338,512,759,078,008,002,303,215,673,482,668,694,077,965,769,176,
992,589,956,198,302,417,920,022,801,563,173,945,758,502,365,305,135,494,615,
052,290,548,417,614,981,583,917,207,491,858,675,345,048,380,298,210,857,796,
605,912,661,826,440,872,736,208,499,468,634,356,164,240,287,692,302,756,141,
998,157,120,585,662,546,862,795,551,245,971,806,760,807,731,337,524,851,881,
985,452,439,403,216,235,152,569,348,980,010,010,871,285,026,531,963,403,276,
228,793,576,042,302,353,903,728,902,070,538,431,709,297,397,621,231,029,796,
003,555,516,196,487,142,015,507,339,627,246,318,562,111,932,101,043,752,387,
186,271,577,312,867,950,260,761,678,955,741,312,379,664,627,947,367,894,625,
042,395,772,421,016,775,028,598,969,122,541,203,793,881,067,916,989,658,669,
288,017,274,846,126,500,477,953,043,945,067,675,465,462,386,070,427,823,040,
785,718,979,871,627,166,854,829,706,559,378,821,887,931,396,244,549,890,915,
062,810,759,357,031,716,716,401,751,547,065,312,276,654,577,450,760,918,257,
237,495,908,848,563,910,651,183,824,999,590,809,487,198,643,221,572,658,183,
115,872,283,494,629,224,043,566,030,586,327,470,833,589,099,112,948,323,237,
095,092,350,295,581,908,573,303,289,429,160,108,597,263,136,879,475,103,587,
953,789,930,065,111,915,578,009,183,000,427,656,983,282,971,922,101,221,514,
072,706,712,577,622,236,382,798,385,643,751,275,237,311,653,858,983,350,268,
876,528,022,898,717,489,190,552,828,339,130,923,962,051,004,307,307,737,830,
642,585,481,377,467,544,699,310,954,881,379,306,564,380,923,905,289,437,949,
025,184,939,490,276,267,807,506,126,840,079,342,590,187,222,913,054,163,534,
944,658,572,373,699,445,808,137,523,894,043,077,867,848,061,202,552,023,158,
248,700,662,649,257,410,198,546,354,743,617,528,288,624,300,836,967,113,146,
891,892,473,912,331,447,661,703,467,727,618,300,761,971,326,776,901,562,511,
508,650,070,108,320,045,310,967,881,147,259,717,897,495,561,523,906,149,377,
379,397,655,207,079,001,990,540,128,591,003,667,645,528,669,287,344,109,151,
200,811,094,250,434,467,984,794,336,218,312,318,721,656,754,353,668,873,591,
736,632,824,276,375,914,304,030,639,739,299,690,265,244,134,563,125,616,503,
526,344,420,776,288,764,022,429,179,523,702,514,946,912,496,505,121,070,070,
217,680,716,785,742,542,898,237,288,983,099,806,207,892,060,928,790,151,221,
506,213,397,282,609,233,303,240,895,707,443,214,734,357,160,993,851,957,614,
504,657,257,362,249,767,623,992,642,166,689,581,608,474,046,221,156,861,352,
621,463,648,935,480,064,290,883,025,414,019,225,917,516,923,072,389,633,124,
041,925,742,507,218,255,048,794,165,458,966,587,162,164,165,306,996,940,865,
750,086,635,035,637,769,291,549,816,181,812,056,704,578,228,061,190,973,863,
389,715,855,467,473,583,184,771,007,052,295,270,617,558,172,478,104,799,796,
502,210,423,834,577,227,498,785,209,684,787,677,917,689,980,520,504,413,637,
869,225,998,509,600,337,947,513,297,462,625,975,963,750,589,516,248,743,338,
400,274,184,306,215,450,405,353,297,460,108,272,831,054,579,978,796,485,695,
293,307,649,611,913,312,486,384,281,065,484,284,645,655,895,240,247,436,279,
628,007,336,394,389,936,557,240,957,209,877,034,506,321,504,649,646,488,656,
738,110,729,106,716,837,297,543,623,296,603,254,578,433,240,414,720,018,628,
396,618,209,369,780,842,922,285,660,849,069,557,887,974,111,900,287,146,495,
330,871,130,470,757,849,052,837,220,586,003,177,791,994,110,716,190,085,475,
020,428,460,688,456,748,696,132,384,649,607,002,633,760,383,663,557,587,421,
378,590,728,601,557,947,081,145,438,450,304,029,089,972,802,577,243,968,733,
008,613,878,105,723,538,406,157,623,744,421,704,797,958,674,578,735,732,654,
991,731,760,928,879,228,523,017,385,166,743,735,487,644,787,644,424,728,318,
788,792,024,648,612,152,581,338,203,975,468,478,233,000,394,102,287,773,400,
090,882,045,792,856,732,965,410,058,413,076,657,936,209,663,848,493,478,040,
389,398,328,495,585,224,837,785,913,419,547,702,495,208,790,880,615,873,204,
575,354,993,840,235,077,032,328,279,258,305,002,603,344,561,558,653,518,356,
073,734,728,201,573,775,307,160,768,873,301,027,860,710,960,458,349,445,595,
037,449,691,362,790,317,142,108,627,416,939,091,229,334,370,087,501,525,079,
474,776,487,796,968,198,796,718,172,496,864,405,386,328,671,264,115,764,772,
840,761,501,910,156,937,364,159,823,160,468,730,516,598,317,092,915,417,600,
371,309,975,264,065,083,622,151,301,755,674,063,502,264,811,660,855,542,809,
624,889,234,883,496,614,272,191,368,969,517,994,488,180,207,075,250,638,057,
724,587,755,122,327,089,025,843,878,900,374,980,372,599,167,645,555,381,696,
103,561,669,144,533,623,238,092,198,269,410,367,021,051,381,577,328,800,353,
486,139,150,046,076,376,538,313,954,264,035,096,998,599,143,304,283,688,068,
939,984,459,756,183,085,190,651,071,044,560,945,318,660,530,778,241,011,907,
235,636,327,603,940,605,541,930,544,102,102,391,141,651,008,034,452,052,525,
106,611,415,024,758,428,513,431,175,885,822,867,085,052,530,676,720,002,237,
144,198,334,414,903,584,372,061,561,961,977,916,662,618,227,192,741,352,780,
741,268,165,366,402,093,243,029,796,445,120,886,132,082,660,815,063,247,882,
027,133,237,008,949,661,904,220,996,222,261,287,623,210,435,306,871,167,834,
281,664,191,076,232,770,700,002,318,916,140,772,377,040,106,853,140,514,049,
512,856,847,715,385,996,420,951,938,495,693,546,162,196,394,995,429,286,913,
767,988,666,450,541,311,214,395,752,154,226,793,557,174,106,650,990,949,197,
130,933,730,853,664,181,115,838,742,834,439,494,218,162,823,981,697,650,887,
264,091,819,940,939,916,883,100,425,555,792,185,395,745,393,895,603,206,399,
978,759,803,860,925,592,764,017,067,599,956,117,521,391,368,104,757,953,068,
029,095,476,903,764,951,246,120,262,064,305,837,938,157,593,275,269,833,790,
310,753,823,333,911,636,216,260,477,606,212,959,805,338,454,511,607,858,984,
429,134,442,022,256,457,757,661,720,605,521,913,860,739,626,619,970,423,949,
644,752,319,616,320,678,745,047,721,766,156,178,627,355,762,930,847,608,592,
010,521,450,622,590,789,927,427,790,022,204,166,504,865,881,323,113,868,728,
018,818,827,119,859,464,932,427,647,607,964,169,393,996,235,944,947,798,506,
580,218,134,152,760,513,554,069,258,704,063,742,958,963,930,941,132,095,162,
660,853,963,091,607,999,674,243,330,897,039,859,664,395,951,997,366,105,878,
280,369,496,556,462,052,373,685,305,481,721,805,853,706,027,386,721,680,394,
051,705,880,744,109,104,162,730,681,697,928,825,605,728,659,862,120,498,816,
335,674,328,385,039,913,612,077,072,256,306,929,287,812,354,071,549,825,859,
472,871,602,200,835,322,953,395,817,519,857,545,439,689,244,617,424,838,439,
225,148,001,489,796,604,593,945,335,145,699,788,651,306,276,630,782,967,359,
650,809,213,383,845,743,347,996,106,410,868,318,339,227,548,530,275,548,922,
453,097,060,636,598,751,898,502,559,523,488,734,205,089,277,188,641,288,993,
859,659,961,735,952,655,784,346,635,855,510,163,207,426,189,249,088,973,168,
872,283,602,016,840,509,458,447,362,922,809,023,497,199,137,239,224,472,896,
074,939,356,623,122,277,512,003,152,370,127,838,580,609,809,630,064,198,853,
431,766,634,616,349,480,235,960,231,522,818,333,871,480,556,543,375,462,798,
964,371,080,515,124,540,053,258,382,075,580,263,419,551,807,876,788,906,457,
162,388,048,262,622,425,931,051,104,746,560,475,183,882,569,292,607,080,108,
993,449,675,413,420,913,414,988,177,005,721,198,342,372,998,941,243,776,592,
098,098,584,104,194,724,900,807,428,158,134,876,435,129,954,197,615,146,073,
129,509,365,918,320,156,216,770,875,834,091,191,615,725,545,938,286,402,944,
707,176,103,605,765,345,435,011,922,245,106,407,148,111,635,813,015,206,288,
448,461,440,308,854,770,746,295,250,039,386,046,633,040,799,457,169,667,586,
604,145,175,895,628,889,922,419,736,308,805,583,422,225,877,235,078,019,053,
612,708,072,984,902,579,284,616,979,276,707,395,872,169,242,343,854,831,086,
049,690,808,250,952,011,095,326,711,144,859,924,633,947,937,171,091,100,625,
330,934,796,597,187,689,139,477,905,351,374,482,677,188,144,225,091,995,137,
895,691,517,838,032,528,522,720,646,432,592,140,927,158,451,673,624,471,761,
508,948,380,894,953,228,273,490,083,673,805,472,907,266,452,342,004,560,210,
529,389,934,851,670,870,115,889,601,880,320,220,958,545,677,589,173,724,968,
837,325,342,799,467,661,384,615,684,963,519,138,395,320,442,312,526,038,565,
336,999,614,998,849,440,192,432,884,043,025,610,851,749,541,293,127,445,683,
962,727,403,657,920,040,797,189,680,088,963,726,629,837,658,302,237,572,317,
826,063,604,959,333,988,445,133,901,418,448,380,921,253,839,983,383,093,934,
754,645,337,710,502,353,783,686,068,728,934,774,369,428,341,373,441,015,599,
208,199,206,828,422,661,397,344,157,904,321,846,375,836,079,207,007,698,828,
169,358,383,180,639,059,970,068,899,568,407,573,787,586,483,632,155,632,334,
043,812,588,617,786,493,009,518,156,986,868,911,643,111,297,337,959,984,425,
700,142,627,207,937,090,981,219,045,294,164,701,197,215,374,731,273,383,109,
980,509,674,665,113,150,362,988,817,573,890,695,956,250,329,263,418,038,880,
940,718,601,304,120,008,204,410,917,845,687,890,415,933,441,568,813,059,668,
734,855,490,558,361,377,474,154,405,531,590,824,836,499,190,200,856,164,627,
173,151,776,913,372,726,803,915,832,876,540,382,735,138,004,979,643,135,185,
210,483,772,523,916,932,552,511,786,920,672,702,818,246,950,404,114,259,358,
599,570,433,567,211,815,124,561,313,865,937,731,361,562,183,867,126,295,014,
707,146,433,064,432,510,944,067,194,793,342,854,458,089,785,025,692,693,817,
049,343,804,213,943,646,801,191,138,570,866,321,439,136,012,912,767,581,300,
793,474,428,411,574,094,219,402,612,516,199,841,553,597,742,431,942,930,360,
431,707,242,648,529,814,366,170,614,630,547,813,555,687,644,298,166,000,838,
408,618,109,455,912,620,629,163,922,537,635,686,729,546,015,688,323,882,849,
041,696,105,762,776,543,638,123,119,251,770,147,953,823,751,584,788,942,629,
046,508,930,248,004,705,577,925,236,316,052,641,902,093,175,099,845,560,468,
249,262,281,638,680,476,615,134,576,686,987,604,469,512,968,559,377,534,712,
923,703,552,869,266,113,305,230,467,548,741,710,213,015,469,622,929,423,855,
578,233,878,604,220,522,347,131,502,901,338,878,935,340,206,306,932,602,539,
472,137,594,932,970,702,615,343,224,025,719,773,392,350,356,492,912,446,374,
719,677,125,286,809,101,336,370,879,279,486,736,637,696,246,838,259,934,499,
017,188,270,930,969,054,358,865,352,158,339,673,933,145,213,388,408,841,817,
805,339,194,150,637,704,301,682,188,826,460,222,375,135,170,039,774,032,708,
229,900,291,872,610,355,229,281,912,855,730,620,043,683,189,334,366,360,840,
851,637,596,991,479,393,532,504,153,488,674,382,365,156,269,622,307,331,336,
678,293,278,747,640,520,053,595,424,824,808,281,215,220,137,698,550,768,707,
434,031,028,017,994,263,830,684,157,397,418,777,649,687,879,056,113,321,115,
665,079,045,471,776,035,773,798,301,487,187,412,958,998,945,125,794,788,585,
527,905,228,553,714,283,920,994,213,073,723,531,130,709,239,853,838,974,672,
432,155,714,267,798,381,152,465,958,351,495,714,694,772,896,837,398,378,030,
103,692,465,173,687,476,235,398,880,978,073,049,729,835,274,993,499,601,807,
667,135,344,233,559,989,913,185,327,879,441,304,069,357,028,082,219,710,832,
135,483,015,288,283,837,001,375,592,137,586,001,291,618,600,332,417,682,285,
537,414,887,247,358,503,834,913,167,175,642,163,243,499,432,059,486,500,751,
520,771,295,283,580,983,766,908,178,932,571,244,347,054,517,881,770,127,449,
683,765,868,854,189,454,461,303,977,072,191,475,638,486,877,631,429,217,781,
683,047,405,539,274,071,321,168,180,611,848,559,728,680,487,795,383,199,670,
991,050,826,565,595,759,856,908,515,975,495,581,056,766,486,431,194,822,726,
633,458,661,716,879,935,188,707,206,218,322,390,914,213,090,638,215,494,918,
808,214,583,821,834,113,948,283,046,059,358,603,372,276,019,471,233,359,697,
250,594,605,554,267,590,159,599,463,128,081,674,872,026,631,572,783,204,973,
653,622,303,150,829,483,302,238,684,512,832,574,539,785,782,150,967,495,841,
952,743,315,178,811,748,302,783,913,170,513,129,020,741,117,191,706,155,110,
085,670,281,566,140,092,873,730,401,526,168,341,055,202,707,450,628,368,354,
928,131,483,509,618,376,601,004,459,623,417,706,407,222,828,712,651,309,603,
196,370,153,294,616,725,313,808,339,583,278,274,791,379,659,185,721,403,236,
675,767,939,196,969,252,038,061,083,964,935,927,376,811,654,499,123,545,578,
407,250,808,189,382,712,553,066,345,535,682,949,456,485,451,580,442,602,832,
332,154,857,414,393,971,944,703,068,105,715,278,016,745,875,269,309,509,055,
005,370,774,664,848,789,648,617,790,617,202,150,339,604,935,233,424,322,867,
213,208,591,314,385,053,807,014,924,176,788,865,189,368,468,403,772,606,692,
245,641,783,678,574,832,262,722,286,807,586,341,893,820,519,397,589,351,048,
518,779,169,908,574,406,997,150,579,961,225,948,770,363,056,557,428,011,326,
639,042,208,414,614,012,679,272,785,347,810,932,833,613,239,510,567,471,081,
969,256,470,922,859,672,304,783,184,405,704,338,065,255,881,417,988,131,073,
742,110,587,614,240,123,838,961,681,182,760,942,251,991,817,962,456,455,762,
260,644,293,182,555,593,369,308,027,355,869,807,940,843,751,982,919,120,770,
791,073,574,237,242,308,538,527,192,305,625,544,497,176,758,549,210,243,005,
297,145,230,608,907,229,656,214,939,089,594,167,277,565,373,550,245,531,006,
120,298,721,733,398,189,287,945,668,528,217,053,819,163,939,763,305,170,747,
573,406,387,657,201,712,586,939,870,062,657,816,233,055,866,026,297,973,787,
827,537,556,726,889,515,122,300,600,093,250,395,778,407,715,516,922,302,084,
903,377,180,384,645,774,139,383,151,513,590,434,075,897,627,574,937,382,819,
397,157,843,861,393,891,180,646,103,454,438,617,238,192,926,484,067,766,548,
674,817,767,356,360,520,009,367,396,880,290,512,465,360,584,612,739,950,240,
530,655,577,630,818,784,367,428,530,305,896,227,419,947,355,355,025,195,010,
987,945,398,370,092,892,244,509,995,834,893,505,069,283,713,621,210,335,589,
089,614,524,993,029,668,306,407,654,113,196,345,010,285,434,992,611,384,579,
537,220,092,709,576,931,301,217,771,227,471,396,992,885,794,034,984,096,522,
074,252,174,403,387,410,194,585,786,864,596,113,243,762,910,892,054,686,846,
162,188,886,159,063,738,713,946,982,110,800,883,684,487,317,819,986,076,772,
072,167,703,300,897,405,644,834,298,227,446,929,641,491,372,235,047,206,172,
361,651,930,153,198,511,599,771,288,045,375,629,076,447,910,241,977,860,965,
708,883,721,091,276,340,251,741,900,312,466,644,453,361,262,693,465,473,691,
610,326,645,023,175,910,987,200,659,477,312,360,304,541,306,399,979,442,109,
225,287,841,368,933,908,814,495,290,612,400,504,703,425,944,660,934,425,181,
475,026,777,165,555,553,303,693,977,819,736,029,608,169,093,301,591,685,870,
930,153,447,032,679,813,598,428,319,151,207,730,895,362,444,935,438,846,474,
590,364,734,428,356,266,834,851,888,308,945,125,678,489,755,862,658,418,648,
633,132,410,152,048,749,369,420,303,184,779,705,343,589,687,951,785,274,662,
997,383,187,751,778,828,004,600,847,730,645,545,679,067,121,984,531,150,374,
766,328,229,206,246,173,629,556,574,228,671,909,709,083,893,516,726,285,822,
539,951,701,491,172,882,267,941,961,364,536,245,733,904,769,727,532,085,192,
149,789,588,134,277,539,697,547,354,370,658,962,306,186,126,538,473,475,319,
168,198,413,933,406,805,514,706,731,416,713,431,726,776,898,267,913,661,181,
169,271,718,238,267,262,594,884,445,273,667,344,077,978,692,199,849,347,119,
798,978,155,701,406,284,688,605,433,145,425,752,365,961,677,178,339,307,918,
098,940,225,426,613,236,282,568,840,332,252,656,845,853,154,545,019,841,340,
395,472,880,713,668,980,464,193,928,083,846,261,329,702,121,789,170,114,069,
182,679,371,918,002,721,430,831,153,866,024,788,102,696,751,545,110,799,514,
544,302,191,772,056,528,973,246,198,864,770,220,303,527,701,838,139,333,681,
092,846,553,416,911,984,111,959,984,129,232,417,238,691,757,873,888,225,527,
626,306,827,059,414,012,458,415,206,418,157,415,352,226,215,366,128,618,320,
759,305,901,080,330,459,243,180,660,651,503,984,073,044,873,919,180,304,389,
818,102,614,910,001,494,388,134,441,387,449,197,279,746,878,609,993,947,148,
609,252,454,439,974,217,598,038,748,454,930,274,810,914,808,893,834,833,634,
392,274,929,025,274,549,101,180,330,082,213,052,929,454,533,226,716,610,962,
516,978,478,391,758,154,492,833,351,294,240,172,990,743,550,862,325,556,388,
816,355,244,833,771,588,924,662,430,380,793,272,161,022,155,149,453,961,754,
706,083,750,875,827,271,930,012,464,619,155,528,733,484,770,494,222,111,681,
175,801,068,495,627,626,312,446,086,924,058,333,693,420,428,519,385,913,027,
900,263,394,916,057,404,549,463,100,141,324,455,472,708,053,551,116,290,456,
878,010,746,604,285,330,863,466,982,502,543,263,449,070,322,714,364,630,762,
854,580,274,128,818,633,673,226,860,766,654,199,267,173,634,328,512,371,665,
238,909,168,920,765,621,732,006,088,494,464,063,820,180,450,637,122,149,605,
071,445,546,915,876,976,398,907,671,241,850,618,920,010,192,121,607,808,821,
023,860,148,729,921,290,027,808,691,415,438,109,173,818,905,395,261,414,160,
649,235,072,210,662,632,765,928,865,678,837,190,725,356,141,261,942,215,008,
101,893,318,833,809,084,560,361,031,302,627,984,602,942,324,820,408,901,532,
984,631,575,912,977,734,639,946,134,046,096,620,285,577,487,397,069,270,721,
524,337,750,197,869,156,245,427,249,625,277,683,963,729,315,581,412,465,209,
214,216,070,362,011,399,594,454,073,259,489,743,425,605,369,385,032,079,744,
486,649,725,111,565,459,957,111,944,353,939,805,254,150,294,733,454,913,816,
347,299,046,623,171,883,228,128,032,925,258,879,996,937,830,323,012,112,391,
442,151,308,701,200,927,517,140,849,466,455,669,039,932,324,814,733,002,499,
652,482,784,890,848,454,042,168,617,270,857,882,967,211,475,404,366,426,552,
817,866,176,531,321,033,084,030,117,979,308,208,902,655,923,322,610,248,682,
947,618,667,275,920,379,189,767,772,034,362,197,495,160,937,575,955,183,492,
123,098,030,609,498,112,027,373,553,878,019,025,371,095,730,086,686,964,865,
661,425,336,434,150,534,331,795,020,322,500,747,720,666,727,450,334,962,114,
321,368,330,159,641,133,940,661,422,066,999,419,557,221,571,966,755,972,293,
797,300,540,623,667,098,442,820,399,275,217,718,846,484,777,056,339,786,895,
328,505,053,747,639,372,313,806,815,368,776,308,884,175,413,253,197,044,535,
255,554,115,071,808,097,322,889,402,070,406,207,061,554,993,154,901,872,932,
516,299,081,274,166,504,783,035,491,827,136,767,271,726,535,656,963,691,351,
410,645,549,265,241,437,047,295,844,501,896,864,849,765,391,849,796,504,118,
360,511,787,695,692,359,904,485,398,077,342,708,286,220,947,859,074,395,307,
040,748,445,523,832,724,393,473,870,557,969,108,504,776,860,366,646,226,638,
506,078,474,208,581,047,715,462,451,779,588,083,773,241,950,778,093,440,369,
888,422,200,769,510,513,455,582,344,161,415,232,334,526,377,036,609,629,674,
178,862,081,219,170,207,825,123,252,266,702,250,877,145,449,246,557,232,313,
568,085,064,848,641,530,166,877,418,936,219,360,801,025,392,846,114,800,242,
000,308,532,948,855,993,156,646,756,441,225,540,967,185,364,494,308,114,782,
629,907,657,034,509,234,259,969,145,927,728,310,044,994,868,410,538,727,880,
512,145,643,459,221,232,094,536,986,704,597,923,792,014,007,598,494,829,445,
508,646,425,021,218,304,330,236,702,001,281,057,885,314,456,806,492,889,700,
318,845,603,181,693,422,936,003,084,526,899,262,469,725,849,552,405,538,883,
220,448,283,997,604,406,714,128,506,604,510,569,401,466,061,560,660,312,667,
480,532,808,673,235,167,606,254,583,029,304,893,878,426,550,444,998,040,838,
596,384,213,762,417,283,666,958,655,045,280,763,376,403,133,426,259,076,662,
454,702,505,994,458,693,502,462,417,048,295,377,511,548,438,936,835,295,526,
943,019,668,179,289,281,522,171,809,956,785,713,041,909,784,927,306,706,463,
991,248,562,716,946,058,031,654,997,019,292,153,048,656,914,477,890,100,867,
701,091,379,801,475,441,282,497,771,249,308,850,700,195,319,373,446,177,441,
219,412,644,417,939,752,896,837,655,304,932,233,420,119,739,856,126,789,526,
243,250,952,177,857,671,805,002,643,363,845,406,885,714,555,294,144,154,262,
825,771,493,601,956,997,969,695,287,317,890,267,028,896,911,205,929,459,218,
214,880,726,362,957,881,489,061,950,491,629,058,839,928,547,049,179,989,544,
526,422,439,573,824,335,762,745,835,597,843,967,146,961,596,777,661,516,629,
586,981,774,715,483,030,546,535,654,538,390,640,135,853,353,691,395,030,036,
940,787,982,026,915,301,797,833,748,625,247,302,613,794,499,356,194,478,845,
564,228,111,821,985,357,680,647,031,046,661,928,129,559,511,945,684,650,717,
733,662,687,133,503,698,753,574,148,573,897,111,780,239,546,530,554,978,963,
862,129,575,352,594,883,959,652,181,966,637,953,274,299,692,878,449,159,695,
480,125,633,720,517,430,626,306,677,217,483,022,434,776,706,899,319,897,749,
240,533,307,865,720,361,138,568,281,771,349,578,224,500,760,660,450,253,411,
590,485,554,957,851,872,517,811,912,673,162,945,154,326,848,088,170,602,075,
281,228,079,231,967,671,989,025,913,542,778,680,826,128,196,933,148,806,758,
172,727,886,160,119,459,952,945,148,236,695,188,614,613,621,546,264,037,382,
822,484,652,431,823,355,809,795,996,457,955,785,272,072,207,538,249,936,316,
637,815,436,061,267,466,536,520,373,852,892,173,777,237,074,448,270,507,929,
802,705,484,726,769,280,542,998,055,225,205,245,018,740,077,374,250,138,836,
889,561,955,508,182,143,907,956,577,651,555,347,904,307,461,750,169,099,045,
636,487,091,736,241,722,792,200,875,986,016,586,809,511,952,584,420,263,217,
387,672,812,085,138,724,950,578,166,768,832,111,423,857,230,703,751,577,532,
592,285,454,189,983,839,892,394,238,982,013,705,503,499,530,273,733,782,322,
649,327,951,906,387,454,050,063,335,884,381,670,543,453,727,998,331,500,297,
291,079,781,900,641,108,478,810,570,301,718,078,647,562,066,373,823,607,675,
001,900,970,146,217,034,487,857,367,722,594,903,160,765,136,847,315,640,272,
261,029,637,673,775,520,344,564,988,906,446,518,691,848,872,463,045,189,254,
996,988,434,860,823,376,185,009,597,286,998,034,922,456,670,392,285,020,841,
201,770,887,486,565,323,382,513,591,553,377,513,562,955,451,865,480,645,531,
624,750,447,106,553,452,123,240,429,267,205,368,333,347,964,893,407,638,890,
773,167,792,307,687,937,740,315,426,182,922,408,730,505,227,204,999,998,384,
606,563,845,864,171,346,448,385,537,634,954,439,501,362,957,701,614,108,411,
759,597,716,158,191,483,306,837,604,469,458,995,726,637,432,683,687,312,152,
272,685,223,543,313,744,172,742,776,726,930,296,728,609,937,684,025,474,737,
882,622,908,714,160,423,049,828,529,198,406,963,685,353,608,367,615,282,821,
862,410,726,619,976,897,182,267,236,027,694,754,327,116,830,052,421,249,596,
241,306,846,280,776,010,143,901,816,263,320,115,305,027,047,673,266,659,777,
661,253,116,974,055,537,182,423,883,175,534,558,387,587,281,131,979,438,563,
445,533,181,486,011,727,389,643,541,174,892,586,559,100,427,116,870,971,797,
712,481,055,030,905,650,464,874,161,512,280,715,509,252,399,740,913,029,760,
984,057,436,047,639,883,707,774,902,065,419,914,718,633,758,982,448,167,482,
841,774,152,591,731,278,693,459,268,532,192,864,474,172,214,079,791,454,741,
838,132,574,213,399,727,135,628,501,800,865,358,472,651,662,122,783,347,134,
894,973,177,680,247,359,946,183,463,042,563,486,716,411,646,888,100,811,319,
527,999,427,755,092,883,268,209,845,930,383,608,266,146,165,661,388,919,815,
333,092,088,582,709,409,114,532,182,303,390,560,459,168,357,890,910,806,556,
159,396,698,692,268,881,064,157,359,887,101,254,218,015,911,545,043,373,037,
150,266,040,566,389,864,823,039,292,910,949,050,811,081,089,848,781,802,740,
386,845,565,897,343,745,652,793,086,999,446,556,741,085,790,647,010,624,277,
239,616,360,966,445,683,563,377,394,940,517,640,569,479,106,281,863,283,056,
662,681,104,180,781,516,345,144,290,146,494,261,764,550,897,370,609,747,056,
390,077,238,266,363,724,073,254,505,396,386,327,250,018,739,504,591,455,675,
147,010,124,179,523,923,174,876,930,159,584,122,201,629,486,297,852,438,300,
466,350,142,726,413,569,402,404,247,635,418,964,824,045,215,367,825,544,899,
690,397,352,617,504,421,271,521,541,781,309,562,244,801,658,851,685,751,009,
692,529,165,030,002,446,325,632,028,445,399,648,699,992,421,520,749,325,232,
808,854,573,471,748,275,156,735,562,413,104,846,254,403,248,878,217,835,990,
371,044,774,896,762,787,807,499,838,392,920,243,231,961,525,980,711,838,045,
652,979,263,025,991,683,112,253,053,186,766,380,384,488,153,449,536,829,921,
171,583,387,768,045,775,923,945,168,773,359,443,376,554,925,466,049,643,650,
428,157,899,184,589,796,410,816,201,901,423,101,681,309,318,917,567,578,929,
913,672,117,193,996,632,421,272,272,407,023,207,559,057,355,084,977,972,746,
871,089,818,367,848,685,202,005,887,517,199,474,256,390,228,859,602,025,351,
289,357,110,510,373,773,177,114,779,703,048,820,761,676,933,572,181,223,191,
392,907,993,278,578,391,032,688,227,966,225,245,633,206,986,001,146,868,129,
581,204,412,097,352,198,655,061,246,411,796,092,650,268,700,031,443,557,754,
093,756,014,507,189,695,934,235,540,225,405,723,271,904,465,397,457,184,226,
545,672,588,389,972,529,522,741,006,536,188,697,255,549,076,003,987,887,475,
781,713,153,741,622,703,320,331,949,936,639,524,304,203,944,615,714,357,168,
996,969,042,571,272,108,205,013,509,349,796,508,672,025,503,556,141,827,401,
297,855,343,186,933,931,915,499,768,889,436,475,611,573,785,861,209,838,987,
789,187,226,468,132,588,506,636,601,152,467,476,551,053,186,808,923,072,343,
696,048,703,379,173,188,240,045,185,334,555,115,814,807,892,049,848,036,768,
936,700,737,223,790,225,642,885,378,252,885,761,503,294,637,774,721,124,025,
341,547,715,897,632,263,449,619,299,212,596,716,265,537,351,519,737,188,921,
941,641,122,695,879,992,921,496,358,843,519,464,709,549,122,221,996,713,644,
960,138,105,837,165,284,287,273,991,917,415,603,338,757,447,805,838,522,852,
978,060,332,184,244,455,893,800,231,765,529,005,967,235,591,672,071,870,553,
534,921,254,637,517,647,985,326,827,289,461,877,624,982,904,041,259,527,966,
658,022,791,345,342,641,546,658,655,582,514,831,740,399,592,004,797,314,637,
730,673,258,736,738,303,381,350,431,204,401,664,876,955,887,616,442,789,907,
555,366,205,499,078,148,903,873,519,181,945,212,074,225,722,508,744,949,452,
980,923,107,442,750,651,556,075,908,559,852,909,698,943,031,296,393,807,935,
483,708,630,924,194,380,517,241,110,581,025,837,189,897,602,678,870,777,782,
159,216,664,380,699,158,585,481,129,700,190,424,591,640,228,545,448,446,476,
300,115,954,712,463,053,653,829,726,181,172,380,550,064,565,352,482,537,121,
528,512,884,454,287,279,306,954,293,746,203,981,124,722,162,186,617,218,113,
231,130,763,550,768,765,524,914,647,372,120,545,704,444,191,467,806,854,944,
886,591,501,529,920,402,036,656,456,800,558,905,378,877,604,418,241,022,513,
556,572,692,779,079,258,211,502,553,145,446,135,960,286,383,811,071,333,126,
712,155,780,700,275,951,432,980,035,561,949,525,115,940,426,275,431,060,838,
846,436,883,604,979,370,227,710,665,812,693,158,969,251,437,672,436,791,587,
187,969,171,188,565,236,960,788,548,703,269,128,982,224,001,289,548,899,633,
727,024,353,059,231,771,550,676,286,405,315,447,674,220,627,045,033,154,168,
369,966,013,808,726,223,347,351,444,460,941,708,119,040,705,153,419,294,213,
161,712,174,902,918,044,178,077,467,479,506,989,041,865,292,931,292,776,108,
465,586,175,567,858,791,022,308,837,647,287,328,503,254,338,904,197,351,143,
481,235,430,159,345,135,045,227,166,460,660,320,779,555,545,742,464,069,893,
518,222,842,714,391,199,688,493,064,909,872,883,806,100,476,663,344,238,291,
534,219,954,410,916,278,295,246,460,375,537,978,358,232,372,235,939,577,893,
981,599,031,815,337,039,678,189,519,174,975,675,830,533,509,156,576,087,308,
367,247,999,161,574,673,828,621,191,864,712,029,666,464,023,439,317,017,513,
514,951,600,663,049,112,980,120,413,581,137,911,435,393,704,174,845,247,560,
929,304,385,209,065,578,691,532,415,325,499,704,336,404,729,204,632,929,354,
079,143,711,278,422,111,723,724,776,551,406,483,647,419,720,887,332,208,408,
513,157,776,153,106,318,882,337,751,376,372,007,692,562,748,651,560,318,701,
956,688,179,955,109,075,773,746,579,338,739,892,052,166,278,390,033,535,198,
821,499,147,606,914,407,541,321,507,744,768,421,630,377,744,683,883,151,959,
469,147,974,847,043,841,431,188,069,778,712,984,859,875,666,798,840,891,510,
851,507,338,466,078,143,794,278,743,079,874,455,176,587,921,985,894,101,617,
134,552,674,562,717,292,654,918,786,572,086,066,117,449,483,525,396,660,139,
548,667,149,394,307,873,961,885,862,071,856,712,263,751,417,808,467,588,892,
963,785,846,114,989,780,350,213,835,980,359,576,272,450,385,345,741,619,715,
646,805,499,822,706,644,992,349,602,042,883,480,119,186,483,828,778,656,529,
757,299,988,945,400,429,999,763,547,166,585,454,461,458,312,024,872,317,712,
024,479,223,486,040,847,842,367,546,693,495,097,376,345,318,390,132,040,983,
938,206,332,342,123,650,180,094,833,856,638,515,524,930,927,785,849,762,309,
669,451,144,435,630,721,701,838,552,619,095,240,248,000,403,594,822,574,678,
958,220,118,311,209,344,182,762,135,003,284,704,804,536,098,485,088,374,756,
876,331,098,337,438,196,210,049,652,511,674,424,528,677,534,872,715,482,864,
028,621,951,499,084,100,416,232,283,047,519,205,004,177,865,704,046,736,516,
689,177,550,307,712,939,464,356,316,263,576,933,654,725,772,997,982,755,047,
287,313,692,046,553,811,644,457,479,006,919,774,536,180,699,471,643,229,860,
274,084,058,524,650,388,173,153,258,497,973,880,792,403,000,566,270,596,909,
365,661,477,848,245,976,890,649,285,769,025,027,429,156,392,128,560,638,910,
983,048,207,419,701,811,976,659,785,430,161,836,481,418,641,548,012,400,810,
536,426,712,261,780,351,557,931,948,585,203,438,064,608,900,632,586,555,651,
620,043,266,696,311,343,561,823,021,534,504,979,111,510,312,218,928,831,720,
209,320,923,418,707,245,649,910,384,418,463,510,522,817,167,062,517,659,706,
760,429,112,077,822,284,972,913,176,862,580,064,470,296,402,353,101,568,177,
463,073,893,597,429,865,315,653,528,500,017,312,148,656,675,695,654,837,155,
667,623,890,826,504,905,133,210,776,001,990,371,006,953,377,775,487,177,271,
713,576,770,540,296,228,411,004,949,196,832,643,614,324,475,717,083,613,955,
523,743,918,511,210,382,434,569,082,766,593,041,372,562,988,766,966,047,784,
721,434,818,558,373,424,336,275,545,765,646,467,337,646,241,390,586,038,282,
473,204,528,519,326,482,115,707,347,959,963,608,216,225,731,947,947,128,627,
888,339,562,040,033,483,571,794,982,492,923,078,371,531,532,846,902,720,481,
244,215,471,984,190,825,195,932,009,696,706,490,283,689,181,744,186,331,648,
597,520,827,772,055,458,885,092,889,739,955,339,452,154,728,764,935,551,588,
347,423,441,479,581,284,388,536,693,840,501,338,472,548,586,185,516,398,305,
461,697,544,030,123,318,257,134,430,751,404,127,778,403,239,879,579,959,307,
515,773,236,460,628,341,212,729,235,261,952,268,166,530,074,799,457,226,653,
350,377,019,069,864,328,279,775,681,551,362,860,347,379,057,459,946,065,548,
367,019,409,904,556,698,492,381,035,317,778,972,408,109,835,216,468,210,828,
880,547,969,987,722,703,727,645,030,250,410,295,874,176,979,746,236,364,217,
869,700,645,889,706,597,625,959,098,068,401,649,287,221,080,383,862,507,028,
325,173,346,593,229,983,710,178,279,703,997,227,771,788,772,506,225,748,954,
343,652,015,314,728,536,711,535,055,714,601,709,581,728,846,044,702,789,274,
979,652,863,656,450,337,397,276,397,881,937,855,899,633,225,493,488,842,588,
460,224,920,864,776,264,000,046,005,307,105,926,818,261,749,075,114,626,199,
578,695,964,375,874,748,842,392,574,739,106,616,847,816,223,717,884,950,343,
385,059,864,959,735,924,593,600,645,629,368,988,860,480,238,514,989,630,610,
425,187,872,548,980,735,579,078,781,380,513,118,613,880,646,405,137,592,911,
433,306,184,520,988,954,969,830,723,810,910,799,503,066,203,949,365,010,783,
265,165,776,845,955,685,277,785,308,115,233,334,277,986,478,181,190,973,219,
258,448,932,715,081,768,751,317,309,968,936,928,359,596,610,292,121,474,219,
985,260,853,354,177,852,865,761,237,891,256,770,007,786,852,420,174,464,330,
608,974,717,876,514,061,172,871,094,210,280,750,092,116,720,146,581,184,235,
971,695,081,463,109,443,631,900,309,667,892,644,696,280,866,417,007,833,288,
443,496,994,662,719,429,446,887,149,173,471,991,951,796,955,913,173,347,071,
850,598,233,355,886,381,794,206,531,905,008,787,023,384,030,016,676,700,389,
580,088,120,468,358,880,430,044,016,581,499,953,749,956,884,272,140,133,388,
147,980,689,300,443,118,327,179,210,320,969,133,656,658,720,893,568,672,152,
187,508,057,048,129,824,372,873,468,559,805,352,306,155,067,628,270,288,063,
970,964,958,861,398,795,694,803,552,175,755,769,408,938,002,111,888,917,448,
897,267,112,750,888,737,526,511,898,288,695,806,043,501,282,603,632,264,797,
405,044,612,261,739,216,870,350,781,824,874,296,749,678,898,666,166,810,652,
464,029,847,755,635,870,823,204,301,003,594,538,756,264,262,775,919,359,981,
852,210,355,468,282,529,429,372,668,314,796,947,454,079,483,573,988,783,803,
098,954,573,226,857,057,714,925,454,636,684,798,434,204,085,874,621,009,451,
815,259,852,103,210,159,100,248,462,638,459,982,675,220,434,129,893,644,508,
697,683,241,586,813,162,898,234,963,753,915,930,541,475,093,430,754,678,607,
731,852,130,837,260,250,213,895,765,571,947,699,932,760,868,837,025,845,493,
623,717,212,360,588,436,274,182,946,138,096,396,475,437,186,539,433,422,041,
636,165,375,389,432,627,951,314,800,657,353,188,948,994,670,094,144,819,548,
347,380,916,068,305,546,807,522,923,903,872,792,578,403,190,417,245,328,170,
297,266,027,568,238,619,163,886,375,880,163,727,706,598,105,548,065,609,918,
276,459,202,185,250,086,582,948,077,982,844,819,754,395,014,519,541,248,787,
457,856,323,558,690,476,969,825,691,578,396,129,188,991,004,246,555,101,722,
101,972,854,455,783,779,002,464,477,520,985,514,786,813,520,458,923,091,817,
111,012,243,606,401,363,031,094,098,750,216,427,359,129,407,485,850,183,954,
560,880,142,648,157,869,049,629,478,716,398,827,711,195,710,336,755,791,236,
937,584,952,656,343,690,268,945,985,092,288,609,518,401,434,020,372,079,073,
006,281,978,708,692,051,509,577,189,482,460,209,714,680,188,664,207,682,185,
647,801,544,027,928,744,671,449,841,359,979,527,767,318,285,865,244,484,434,
668,828,414,389,860,488,656,289,868,933,998,409,358,117,323,378,058,022,364,
873,044,412,491,402,427,238,200,006,094,182,757,025,311,498,655,180,287,959,
666,626,036,762,200,250,849,987,185,178,653,044,186,079,458,416,374,391,453,
405,942,848,650,462,511,350,759,283,926,305,691,926,787,681,328,353,856,682,
389,718,516,955,771,879,032,721,797,253,346,811,551,567,068,927,076,435,800,
641,905,985,640,147,199,967,221,967,285,626,987,796,397,031,561,609,155,733,
948,872,968,180,404,812,320,401,611,356,484,723,078,940,869,583,137,967,888,
663,551,034,555,663,299,556,813,092,067,507,231,396,472,469,227,963,537,073,
109,356,237,947,047,336,431,513,245,304,785,741,572,439,362,512,392,875,779,
743,359,351,596,209,608,451,644,152,823,874,839,853,957,629,644,645,162,816,
017,048,913,721,515,161,116,707,484,074,522,313,833,424,339,181,179,789,148,
672,853,902,936,648,048,834,694,388,239,699,183,411,877,732,622,039,193,335,
854,774,458,488,855,998,934,453,000,785,994,484,420,084,579,496,730,676,672,
537,164,191,800,461,304,131,804,076,707,947,827,095,726,818,577,774,437,769,
757,207,928,130,563,374,202,264,657,169,669,374,180,975,804,988,681,007,655,
064,010,589,746,703,520,410,359,597,620,010,746,692,424,682,740,011,713,888,
290,544,080,955,884,813,689,660,480,432,737,431,302,372,340,504,295,758,945,
429,958,180,871,804,031,060,629,915,004,400,616,622,491,485,867,781,246,962,
831,155,474,118,239,081,547,177,571,774,000,830,127,554,872,961,885,497,709,
308,048,833,738,723,819,715,335,616,671,536,771,570,503,668,713,249,716,036,
774,449,279,701,194,923,565,712,090,565,799,752,444,900,185,525,725,462,795,
002,999,254,046,393,490,341,512,657,241,668,219,220,789,705,800,871,237,341,
115,785,451,112,484,052,147,702,287,509,312,187,393,166,133,371,536,111,674,
443,405,053,643,049,648,076,796,185,591,828,921,560,204,475,695,782,777,572,
026,410,163,841,718,508,275,729,511,743,263,177,782,921,826,755,300,832,121,
825,223,706,724,190,734,079,811,335,245,810,850,232,610,745,304,872,576,781,
643,673,525,298,359,594,063,285,955,476,306,209,276,641,720,366,179,679,884,
490,033,349,941,833,137,891,619,525,399,700,508,404,360,619,468,237,308,983,
988,359,794,977,622,460,931,087,337,083,257,889,795,412,505,386,102,938,064,
278,360,958,496,259,185,931,335,255,212,269,096,540,169,754,612,058,803,325,
163,144,957,065,505,997,184,741,372,463,240,882,648,903,295,696,106,644,460,
339,524,365,084,304,580,420,494,375,915,001,712,643,745,499,665,449,457,873,
678,544,416,232,290,889,974,708,751,379,681,584,968,291,960,039,817,045,050,
975,322,709,796,722,806,939,496,264,397,407,115,643,083,801,147,670,634,350,
446,601,755,283,144,150,875,171,607,505,383,694,902,090,418,544,468,554,429,
251,398,475,376,641,838,938,162,026,916,599,569,113,681,509,245,435,310,818,
132,102,426,271,703,492,090,401,820,351,314,179,695,205,325,274,681,616,544,
029,828,371,944,966,651,752,617,530,461,048,673,482,755,825,947,597,391,606,
105,347,552,044,268,421,472,358,771,063,675,308,578,514,485,884,788,536,332,
303,158,019,586,727,998,437,596,042,674,184,001,688,914,685,682,924,769,029,
501,626,398,095,271,624,530,123,065,447,144,543,972,398,810,948,510,468,386,
368,294,057,513,927,783,954,953,853,825,475,659,543,055,957,490,608,111,022,
910,494,460,946,788,467,669,541,299,918,648,650,753,818,569,621,354,757,555,
694,673,045,063,427,220,052,938,277,270,838,699,533,116,761,701,942,354,165,
211,564,399,740,080,754,390,076,532,363,943,903,050,715,446,851,827,406,316,
493,181,308,229,352,157,569,981,413,096,602,131,159,234,761,469,063,415,652,
596,541,149,206,965,433,511,253,456,999,996,976,182,351,230,218,760,263,011,
335,874,759,131,715,843,619,814,085,098,040,560,017,231,224,868,550,177,700,
337,059,177,182,146,025,454,391,162,309,300,692,866,009,381,314,277,032,100,
290,224,267,629,198,149,489,416,160,704,127,988,836,107,958,925,288,929,159,
601,553,389,237,966,515,456,903,600,400,782,656,936,466,472,576,806,698,874,
831,882,990,695,449,116,280,629,884,100,977,970,016,195,985,867,816,107,263,
244,306,304,820,550,948,429,270,927,056,084,498,056,531,987,964,515,196,032,
854,068,696,572,843,151,579,497,221,334,244,620,269,177,784,231,489,115,548,
964,790,459,842,170,904,661,851,310,568,719,935,556,808,064,728,507,464,771,
176,955,244,482,223,063,215,402,630,211,588,835,520,003,587,613,232,772,295,
474,084,133,960,746,058,713,865,793,116,084,324,598,382,498,251,587,020,393,
519,986,553,722,399,392,116,577,840,839,420,141,224,875,708,143,175,018,275,
549,865,703,734,018,735,916,812,697,541,090,860,116,137,302,084,879,364,733,
069,422,581,628,177,349,057,785,914,043,475,244,884,892,999,521,936,462,162,
269,934,825,886,821,275,170,377,506,294,529,992,023,315,932,158,572,116,886,
590,823,831,321,890,037,616,619,921,588,188,675,073,610,678,537,596,026,139,
450,678,014,173,583,058,518,479,931,612,171,739,999,552,001,837,896,607,243,
085,563,691,201,657,948,235,937,431,038,730,937,239,572,151,266,353,270,838,
733,132,672,627,158,583,576,866,626,432,723,769,823,691,178,674,205,963,917,
888,790,822,691,328,007,335,069,637,266,061,367,295,852,366,867,643,429,667,
342,430,796,252,937,796,648,897,464,024,467,433,362,572,295,139,897,727,113,
464,860,810,634,840,564,955,022,182,178,101,488,058,046,828,403,808,242,038,
698,663,834,768,528,871,992,177,919,856,824,437,333,340,001,169,039,563,351,
820,368,961,839,104,936,421,218,461,332,216,532,874,986,247,786,729,792,644,
223,356,650,108,340,036,371,569,253,048,346,770,229,619,124,220,859,873,151,
919,896,178,126,147,070,805,020,303,006,665,457,048,056,779,641,635,934,081,
133,899,126,996,648,877,193,213,156,494,295,970,818,851,495,918,854,593,409,
150,313,925,207,910,026,296,375,265,133,475,816,537,633,770,400,952,190,763,
538,354,872,014,319,569,874,217,321,004,936,670,541,527,630,197,455,431,141,
818,450,088,188,280,586,943,737,050,188,793,144,292,012,887,736,008,751,550,
943,290,949,453,427,836,963,704,735,416,845,739,761,171,363,832,258,911,235,
579,189,646,219,102,420,137,502,542,093,759,045,500,159,363,612,223,271,427,
013,366,979,891,044,939,724,366,638,756,748,413,042,257,461,204,406,286,796,
069,745,260,318,734,417,168,681,149,665,722,938,957,943,298,698,080,828,216,
684,028,208,680,550,879,178,292,080,517,031,595,947,594,104,847,878,615,055,
058,591,849,336,612,143,783,134,762,622,467,586,873,905,356,645,683,586,161,
837,620,402,793,174,989,995,627,491,017,485,209,703,478,458,129,445,734,682,
153,153,450,902,347,688,789,838,323,909,513,248,942,678,936,721,749,114,945,
397,933,567,185,310,066,361,580,121,243,097,388,033,048,821,568,248,989,724,
205,586,929,489,213,079,623,580,442,248,487,904,625,132,937,096,807,901,638,
122,785,741,350,446,822,605,083,190,467,327,695,541,108,050,923,809,787,779,
514,885,908,943,540,363,558,487,975,200,866,023,153,759,272,780,046,118,876,
508,945,546,329,035,085,585,976,997,176,636,622,374,324,227,362,449,640,218,
769,673,205,224,271,590,816,619,309,057,409,968,085,957,500,778,270,112,493,
295,490,887,609,415,738,984,964,775,013,321,728,135,152,834,551,869,995,437,
401,184,917,148,381,488,237,027,620,246,804,326,659,607,317,576,549,760,613,
448,523,257,257,482,831,909,335,681,309,704,565,423,494,251,026,554,006,018,
852,860,818,292,456,200,324,352,484,598,408,631,330,552,432,874,870,124,740,
262,380,260,065,454,014,096,948,357,803,399,537,714,874,179,919,557,618,221,
865,226,257,915,409,127,213,580,941,042,546,589,311,876,413,606,981,242,193,
938,301,176,931,805,643,426,548,352,586,786,599,831,098,489,994,050,555,839,
196,747,749,192,564,154,886,519,601,028,228,193,712,935,496,391,998,383,240,
617,973,026,834,569,027,732,898,484,369,273,357,467,010,941,585,678,908,697,
383,673,411,731,176,633,187,500,206,468,683,537,341,598,944,770,098,114,934,
612,391,038,882,804,571,684,312,730,194,423,120,442,199,911,368,522,686,824,
484,666,628,958,859,193,992,803,883,208,692,922,554,747,193,445,296,128,359,
855,749,984,575,478,516,240,134,085,566,224,174,382,098,437,304,136,933,705,
429,078,209,146,009,771,857,317,478,172,528,785,280,276,387,929,430,968,943,
712,597,588,716,171,332,380,853,741,246,766,780,925,633,079,945,930,071,751,
271,445,556,035,254,350,960,967,891,522,267,064,573,933,699,205,791,586,912,
367,755,936,220,488,058,803,183,589,335,770,107,046,681,146,854,354,540,294,
951,074,425,620,928,259,763,961,387,292,131,117,644,476,771,513,654,926,294,
436,054,158,177,828,826,076,918,761,686,627,298,261,821,560,762,218,329,157,
285,827,957,782,667,417,691,022,020,758,464,535,565,235,798,903,285,806,819,
931,244,700,691,945,772,231,934,618,090,758,072,523,648,154,722,467,320,822,
762,423,313,936,382,581,807,436,679,664,355,084,717,267,124,074,289,115,290,
487,140,708,773,196,295,496,654,462,031,738,981,017,460,081,231,319,666,235,
540,081,370,253,000,212,146,951,037,058,963,268,904,730,987,243,457,431,234,
072,286,051,158,665,016,047,771,605,938,928,976,084,052,784,404,291,015,371,
508,455,711,516,594,367,919,603,379,821,062,029,866,728,379,021,443,507,803,
339,309,231,789,057,199,760,725,935,453,256,688,303,356,365,124,133,161,843,
870,093,926,797,832,316,187,093,468,050,421,538,564,714,045,445,837,410,041,
521,513,143,285,018,209,943,280,313,824,675,538,115,213,855,472,928,286,978,
529,989,655,194,888,930,353,953,828,164,869,216,494,154,143,377,604,310,984,
399,321,959,762,417,762,160,986,224,131,738,238,386,548,356,135,264,592,314,
182,993,859,511,696,859,974,002,766,963,123,623,109,637,432,680,254,706,172,
331,868,425,904,120,189,433,379,370,925,314,961,154,081,716,138,564,611,071,
346,318,078,992,113,381,828,540,214,304,337,065,574,545,587,012,513,409,397,
481,966,457,037,792,453,207,794,882,202,670,529,254,063,968,879,324,298,974,
430,422,456,808,774,161,208,941,548,286,363,131,268,814,016,615,900,534,058,
414,624,201,101,766,369,267,831,215,596,395,564,865,151,880,994,069,687,674,
653,923,245,632,934,127,556,501,176,236,897,065,291,829,967,352,039,219,345,
556,713,875,721,045,125,611,979,054,492,807,719,057,123,998,583,358,545,098,
589,294,654,067,726,648,459,020,785,852,357,741,334,475,546,896,968,544,209,
723,726,341,091,853,303,207,701,638,251,751,684,353,378,744,495,596,677,148,
132,820,617,082,960,833,192,453,441,654,719,119,805,414,025,028,591,076,798,
511,053,779,746,660,055,177,607,549,723,906,667,586,073,905,005,944,530,912,
215,935,496,484,803,781,781,180,460,208,647,758,466,807,181,471,727,487,474,
549,854,055,124,571,011,525,167,388,292,544,493,142,321,258,917,660,330,796,
150,844,271,709,697,832,324,024,309,224,932,359,493,553,327,559,044,765,535,
894,153,961,078,182,789,536,535,549,062,061,096,141,460,782,373,144,103,294,
670,191,561,726,295,011,602,929,158,675,681,343,456,083,015,777,001,773,961,
408,665,933,948,828,693,297,926,057,374,638,313,530,756,306,947,097,183,418,
901,376,483,308,791,652,736,250,050,955,148,838,678,918,961,479,189,014,050,
040,452,575,568,663,330,731,897,030,844,986,006,169,040,735,253,182,595,675,
901,481,291,278,109,575,856,560,976,384,577,522,278,657,956,130,031,696,160,
368,119,007,229,596,863,394,314,635,315,690,691,288,382,584,761,235,469,557,
436,488,140,312,124,765,487,909,776,822,322,142,072,575,751,494,961,393,648,
215,315,818,024,761,241,691,853,688,145,392,061,821,787,177,441,058,321,752,
029,077,318,279,313,739,266,777,112,113,977,785,338,121,847,564,250,283,372,
873,574,240,980,552,929,226,760,701,316,556,493,862,898,217,329,738,355,516,
890,250,710,602,800,869,376,104,915,221,864,585,782,487,010,126,515,170,449,
201,434,742,689,401,668,193,414,063,268,658,057,902,351,429,385,022,373,054,
900,162,102,062,372,956,851,417,308,465,430,679,821,452,789,758,355,474,660,
384,061,106,753,544,292,146,983,232,104,525,219,582,646,653,799,392,653,240,
162,294,287,047,117,699,083,138,972,910,770,676,497,671,660,167,406,289,247,
787,560,918,522,997,052,979,529,178,830,224,144,385,367,949,772,373,846,860,
764,759,758,460,487,253,152,300,197,519,252,885,614,664,469,632,899,147,995,
394,683,495,423,132,663,923,919,758,698,733,891,339,243,834,568,634,900,375,
182,241,830,128,840,817,767,458,645,371,564,028,738,240,940,518,273,155,350,
232,561,862,827,698,210,840,729,319,172,875,114,365,535,670,960,067,209,790,
252,562,987,978,775,773,046,110,912,428,122,765,101,896,796,189,946,972,666,
616,686,630,964,430,286,206,672,468,860,449,831,334,638,861,234,388,059,046,
316,269,328,732,442,792,514,703,820,675,871,710,980,076,582,010,209,755,476,
809,859,333,736,566,991,789,736,586,757,007,631,731,088,962,981,350,785,028,
843,536,032,825,464,215,411,748,182,473,989,894,842,730,801,611,196,510,054,
760,546,647,778,365,265,309,965,516,526,154,519,486,963,724,296,327,731,646,
843,792,075,746,452,155,239,661,673,141,655,715,811,483,016,237,863,084,361,
810,777,804,096,040,735,752,833,182,241,218,518,866,992,089,544,541,156,472,
835,199,468,028,329,895,018,005,132,917,955,593,940,542,037,906,157,571,180,
703,888,999,214,361,398,349,866,764,722,393,233,311,872,083,889,404,085,414,
724,077,439,430,094,550,407,769,696,389,476,319,985,594,006,331,044,908,827,
486,241,274,375,808,278,498,430,159,904,034,818,023,938,358,291,272,191,872,
881,466,686,933,817,310,817,896,972,293,627,427,842,040,731,306,333,763,202,
835,462,941,997,666,915,220,621,386,559,890,816,207,374,971,726,128,008,281,
477,043,271,329,022,863,171,815,240,109,598,600,434,192,618,466,908,192,745,
300,306,145,182,526,100,511,622,576,775,219,775,978,621,652,482,875,727,868,
573,669,236,053,921,202,164,766,383,551,628,653,062,569,782,628,769,339,965,
571,683,998,932,655,192,125,676,179,950,319,517,952,897,676,734,584,816,207,
539,509,016,923,261,469,412,992,814,049,192,091,911,827,070,723,909,138,973,
019,352,336,136,139,499,281,497,108,340,656,790,648,022,233,765,284,648,235,
316,701,590,289,355,601,825,472,229,061,849,931,057,676,160,098,327,244,722,
733,072,473,260,209,868,245,645,932,959,211,353,554,185,739,963,246,749,582,
205,958,302,859,703,509,274,358,486,668,026,553,012,424,581,378,663,271,000,
366,071,107,457,092,508,135,210,544,982,860,235,374,104,380,973,065,104,263,
037,173,442,151,915,715,396,838,467,239,968,630,104,495,259,801,281,540,309,
550,793,138,329,493,399,221,784,599,735,322,251,391,137,751,003,891,487,790,
271,666,919,565,215,536,172,872,195,550,465,030,950,631,772,057,404,532,634,
271,101,647,203,778,761,580,583,067,925,918,045,934,170,373,107,426,760,714,
294,505,280,672,989,066,205,108,800,069,729,057,042,048,903,623,416,624,837,
756,502,995,463,754,883,753,330,946,189,087,801,426,017,786,695,911,543,950,
324,225,573,917,218,495,850,221,661,098,153,571,179,774,540,853,827,877,797,
013,709,723,807,807,037,922,663,242,850,703,917,958,229,285,477,441,389,383,
245,803,167,137,527,856,932,754,422,291,378,420,592,362,471,402,891,762,631,
162,983,329,311,742,734,578,870,872,783,977,253,804,119,997,818,698,262,551,
770,279,064,624,505,541,890,861,060,977,517,695,674,463,965,371,921,937,256,
561,362,559,665,887,656,915,791,119,273,307,396,615,492,578,120,586,336,574,
713,468,894,364,153,588,659,331,482,999,115,645,672,473,739,891,290,691,895,
032,512,130,185,613,607,369,275,910,525,124,047,382,822,675,627,199,059,214,
967,147,397,032,651,560,751,575,488,676,453,826,251,608,405,024,352,330,223,
177,105,213,022,226,994,597,762,347,244,152,219,430,942,366,477,618,247,552,
281,905,316,433,628,922,160,198,054,052,079,155,438,203,154,335,579,021,203,
360,646,375,317,719,700,053,306,954,772,743,939,492,608,209,142,030,886,264,
276,741,048,581,903,350,790,745,583,147,884,556,104,382,038,994,871,880,984,
710,302,839,494,923,429,214,259,734,955,094,938,434,182,502,199,308,407,391,
819,483,205,286,624,787,906,259,170,814,684,491,974,221,846,680,358,836,863,
916,849,859,361,994,062,917,221,534,518,556,681,713,183,053,948,081,654,926,
240,743,590,324,908,147,909,268,184,134,143,547,257,932,774,665,589,204,730,
055,461,998,474,570,098,436,300,307,572,079,696,234,829,486,554,517,870,325,
430,288,833,855,449,719,337,994,810,873,986,595,708,356,266,765,539,129,947,
155,822,219,796,236,178,018,101,893,763,719,192,035,273,708,717,254,636,240,
621,666,837,956,638,328,774,471,412,407,237,816,649,913,897,738,123,007,302,
893,073,190,920,400,696,718,314,127,431,353,320,857,788,500,517,923,899,018,
402,637,092,182,294,167,028,273,496,747,342,326,668,734,890,261,544,535,257,
615,744,503,374,151,964,178,728,961,842,961,087,586,114,834,468,530,050,990,
549,803,236,474,404,439,749,697,699,497,160,028,229,076,876,044,635,734,165,
134,905,610,259,801,429,850,802,400,714,539,946,047,480,170,508,058,500,074,
707,825,722,193,869,746,991,795,770,365,668,803,790,380,128,050,456,312,371,
891,715,717,831,056,933,336,515,246,788,703,847,080,139,418,219,250,785,544,
078,478,676,334,191,023,121,715,111,093,459,907,123,911,133,474,486,410,428,
471,825,500,606,778,306,865,958,975,648,580,535,956,410,286,083,606,949,311,
726,041,479,777,566,687,896,698,636,701,555,499,626,031,654,048,547,850,782,
073,419,806,137,042,261,192,618,332,206,137,669,443,203,993,270,951,901,556,
000,963,392,865,900,707,003,859,913,430,259,093,066,114,577,789,090,494,729,
912,750,271,436,026,745,692,316,010,822,349,121,953,763,556,980,844,634,466,
909,642,628,101,037,782,654,080,298,688,446,070,966,918,311,947,135,270,162,
013,536,463,278,028,695,172,288,547,549,946,187,272,951,118,214,999,988,936,
443,423,942,596,416,781,882,909,605,005,061,310,351,197,772,788,033,837,696,
025,720,685,708,327,166,888,450,825,657,023,480,930,195,184,338,202,652,942,
736,863,678,742,605,776,895,805,256,278,718,865,597,396,252,968,342,740,587,
111,017,200,886,224,599,737,526,910,000,343,595,343,041,795,777,043,828,064,
492,639,003,668,041,443,819,059,717,252,534,750,106,047,154,538,453,275,038,
123,860,682,157,251,614,156,954,336,983,532,883,187,058,812,435,140,305,765,
069,891,858,765,729,671,730,196,981,117,459,875,081,135,155,461,378,644,715,
833,866,971,548,363,780,404,786,912,876,784,930,463,752,789,115,556,650,823,
908,719,034,178,796,220,535,491,294,075,772,535,585,669,021,185,792,412,757,
764,983,720,945,158,347,750,367,384,954,551,783,239,515,800,152,313,212,999,
053,992,489,248,445,223,719,032,629,319,707,117,723,530,677,388,452,235,496,
356,356,055,513,067,297,163,242,690,541,384,508,043,894,048,900,641,756,834,
269,127,630,479,936,553,985,916,209,141,099,040,230,912,686,412,188,979,076,
140,069,423,497,387,741,431,033,391,859,575,909,396,045,511,742,721,664,108,
937,397,434,641,920,960,133,327,908,632,258,448,807,701,636,024,400,022,288,
849,088,197,349,123,892,513,957,532,728,532,297,477,399,754,799,252,909,085,
357,277,555,256,748,568,531,846,914,002,537,329,184,189,226,198,160,830,399,
005,973,920,752,821,297,213,777,800,958,479,447,487,409,950,044,959,278,215,
314,641,302,460,172,550,179,405,334,501,602,403,759,335,281,295,826,805,491,
522,642,460,829,612,203,436,271,970,808,283,024,069,939,088,141,738,436,409,
641,257,757,080,473,294,879,188,323,529,599,049,206,265,383,322,429,523,351,
738,727,974,275,236,140,334,517,095,226,975,160,688,688,726,803,691,567,206,
119,575,424,278,775,049,349,404,861,384,592,270,741,909,924,948,265,706,167,
595,572,761,471,231,372,474,187,172,803,624,470,743,827,137,534,686,334,947,
474,067,934,991,893,222,175,483,247,855,340,094,898,665,280,340,859,438,366,
201,906,625,293,761,524,789,404,458,435,740,463,413,090,213,913,002,177,774,
638,602,544,837,228,372,275,199,258,070,637,060,908,299,372,534,717,345,442,
462,122,349,426,663,073,212,816,737,804,376,030,972,683,879,153,504,185,373,
456,580,781,814,031,301,670,798,698,637,612,150,603,398,725,196,461,666,647,
843,752,973,987,537,280,827,456,966,135,216,642,449,488,471,009,609,796,166,
353,481,504,653,021,630,952,387,396,899,564,769,345,159,569,730,736,249,838,
081,577,785,829,236,345,405,948,227,048,029,294,789,625,685,240,652,755,762,
487,803,752,255,366,558,159,927,012,778,055,109,416,803,217,609,097,386,180,
453,203,014,647,841,346,553,726,818,055,665,815,016,365,233,553,263,645,545,
557,066,665,681,540,543,179,385,194,555,797,412,925,569,738,137,380,079,738,
426,713,077,559,762,105,964,639,680,217,537,436,421,122,483,373,588,980,948,
048,853,494,584,272,548,676,807,471,643,784,444,295,948,716,372,117,801,706,
500,156,750,387,933,027,444,608,937,842,637,458,863,634,993,030,017,436,727,
065,177,114,807,508,262,141,652,693,878,507,657,290,705,133,290,378,425,455,
007,533,483,741,673,436,382,460,759,629,024,980,825,923,148,902,935,928,268,
348,505,946,774,027,670,539,678,571,845,852,624,773,985,591,574,095,198,003,
029,351,085,416,123,047,232,298,838,393,586,583,916,403,834,938,784,841,219,
906,444,862,342,533,795,940,606,653,893,552,556,519,747,815,007,074,877,069,
757,166,683,159,186,814,320,649,949,316,228,179,488,359,245,133,951,449,048,
326,092,675,820,862,065,188,049,357,923,911,105,869,022,352,753,796,758,055,
674,212,692,529,510,186,723,204,121,693,363,188,754,016,708,156,393,055,333,
481,967,051,843,748,029,486,447,328,227,314,194,670,820,583,342,340,516,611,
082,602,148,488,977,765,271,485,838,124,550,552,875,076,752,643,337,070,167,
464,803,925,888,723,230,005,802,990,006,481,559,088,095,532,170,576,149,600,
378,487,167,135,623,271,669,733,263,091,068,537,528,794,977,449,774,369,488,
939,112,704,159,442,285,196,860,756,282,360,106,800,579,639,552,328,902,350,
511,261,607,004,130,416,774,205,664,371,505,453,564,800,351,040,521,181,944,
466,582,651,439,231,269,714,463,564,501,659,870,286,438,855,647,265,213,986,
412,676,001,892,987,234,310,114,750,033,423,624,687,377,722,084,901,930,865,
056,069,583,292,551,134,864,556,884,607,426,169,071,242,884,743,764,293,960,
263,674,165,233,310,998,683,718,016,580,595,431,302,762,257,778,506,851,093,
128,561,543,026,105,200,414,176,891,434,146,989,459,586,277,983,193,486,916,
965,862,128,275,313,221,561,771,406,442,658,001,436,326,167,023,376,540,265,
921,464,327,306,790,989,472,131,728,745,525,617,579,395,174,738,879,331,497,
736,297,552,933,744,764,834,386,479,137,503,974,258,750,273,865,862,508,336,
288,135,222,712,924,553,384,426,953,877,091,966,863,186,368,118,195,874,473,
475,360,314,695,446,853,913,605,062,034,200,404,904,890,675,893,949,464,446,
812,188,582,424,420,544,660,698,038,345,528,835,923,113,565,664,034,453,696,
165,436,849,996,243,994,363,728,591,906,535,019,437,439,914,034,856,342,855,
906,584,026,618,383,585,447,505,852,210,086,275,462,285,202,748,389,397,350,
649,977,007,691,082,064,987,383,521,496,985,978,491,864,335,823,576,056,335,
126,132,095,741,670,661,801,636,485,647,776,704,408,504,579,009,155,206,841,
740,114,392,595,087,272,656,606,312,878,376,558,249,387,246,070,917,489,660,
212,422,955,532,073,590,957,979,237,822,595,939,515,804,361,444,968,690,075,
979,101,861,246,380,351,148,654,240,343,059,582,184,008,774,919,477,437,046,
169,738,423,585,836,261,091,260,781,605,395,686,584,475,716,033,343,657,028,
803,186,697,274,668,631,484,967,085,876,589,448,155,947,840,115,414,635,200,
072,029,225,148,088,406,674,414,852,464,160,215,336,342,896,285,292,204,452,
107,093,822,248,581,036,590,060,305,354,158,445,909,522,563,682,050,058,401,
159,524,544,922,967,063,084,195,720,537,618,866,264,808,730,679,031,802,626,
630,872,442,006,848,876,133,625,244,305,753,800,887,040,222,107,870,728,955,
236,540,155,488,615,284,296,420,360,118,670,306,495,428,657,767,678,279,101,
081,292,767,550,698,747,883,944,374,612,182,123,728,566,276,256,068,748,900,
141,836,483,758,947,118,535,527,853,723,073,671,450,960,830,630,695,323,006,
417,459,057,841,972,280,849,793,866,878,005,746,119,361,501,474,168,609,933,
068,940,063,754,581,690,319,421,639,301,174,262,662,078,129,434,499,951,465,
111,675,740,902,191,526,934,427,600,756,414,230,228,473,669,576,374,572,525,
121,205,395,795,420,775,027,900,315,874,778,794,781,760,366,858,509,402,507,
669,006,330,643,009,272,745,304,348,492,732,855,859,984,156,175,042,381,466,
192,871,433,957,914,290,734,456,790,032,114,437,131,547,334,535,124,784,072,
599,149,220,756,521,898,909,788,125,653,928,215,278,539,680,728,997,586,033,
236,798,873,719,725,917,283,582,926,000,172,753,117,177,331,727,153,436,374,
486,182,669,658,690,786,895,315,663,862,431,616,668,218,899,154,269,995,618,
746,305,660,478,306,934,778,576,258,549,102,982,628,024,513,941,805,762,328,
712,514,869,837,208,223,796,440,847,931,805,919,067,163,504,971,674,720,922,
885,599,491,321,935,299,476,983,868,055,510,198,066,037,980,268,302,957,043,
113,964,748,600,828,039,802,430,789,445,812,450,051,407,797,511,144,455,455,
338,918,554,617,004,670,024,956,605,018,920,032,659,954,407,563,156,234,151,
353,945,229,136,704,805,529,867,543,027,716,046,671,382,829,987,225,152,027,
909,493,713,913,914,155,548,172,080,193,077,284,786,412,202,314,400,318,655,
991,261,461,602,101,186,198,913,398,686,601,839,567,139,579,317,579,115,043,
505,221,701,866,901,123,888,123,202,552,728,729,538,157,006,220,659,296,214,
387,416,574,045,081,284,383,070,839,796,822,860,485,585,338,731,872,851,810,
577,308,891,279,837,488,103,958,828,992,971,558,747,246,853,818,602,675,100,
586,928,880,489,428,463,511,698,539,337,525,909,350,916,942,893,982,349,100,
168,911,593,680,289,290,249,456,589,882,247,233,601,363,993,455,978,904,254,
855,931,447,817,770,284,665,265,513,634,645,750,698,816,222,966,309,589,557,
956,377,730,626,435,120,027,490,712,486,327,006,198,607,985,709,324,650,085,
289,073,167,101,904,984,488,394,054,510,312,066,464,460,587,256,600,914,974,
904,969,764,506,873,008,389,163,666,555,204,467,716,685,077,664,531,691,432,
288,118,770,158,120,818,697,924,538,950,247,646,258,680,384,816,119,093,123,
981,615,775,871,029,044,030,729,317,056,857,492,812,097,152,612,580,105,261,
294,824,867,852,239,283,513,805,470,983,365,587,451,998,737,900,610,355,799,
774,346,790,792,398,845,289,843,390,380,421,442,494,750,079,671,895,984,047,
239,944,075,167,733,730,344,117,198,674,865,109,752,703,632,634,695,387,330,
254,181,422,004,020,469,835,847,302,579,903,645,198,484,210,543,042,890,502,
897,670,983,000,435,664,435,871,817,604,108,214,849,876,936,927,485,977,384,
827,484,041,615,499,866,532,055,779,279,664,724,130,360,707,982,635,190,213,
577,990,697,092,939,518,631,540,011,470,092,675,541,937,933,679,886,879,927,
298,095,096,806,952,361,440,403,500,649,649,753,400,754,346,579,275,707,972,
378,410,766,023,209,944,856,067,413,838,096,462,047,385,668,334,720,173,808,
865,756,489,695,586,213,430,016,997,175,370,744,832,414,884,003,499,890,891,
145,724,167,682,121,217,224,084,214,652,425,865,189,387,177,962,057,410,156,
233,805,049,095,048,397,401,827,066,511,601,323,264,733,997,899,116,045,105,
167,209,625,695,973,672,266,319,663,718,332,608,761,677,502,248,083,201,368,
753,934,008,840,193,497,449,105,097,845,057,144,057,855,285,744,606,081,612,
510,078,844,135,531,821,734,762,473,971,866,806,174,949,018,975,927,179,989,
391,340,402,352,406,169,712,625,848,095,766,790,098,261,499,533,165,319,853,
712,448,562,979,313,877,897,339,425,756,637,989,651,052,883,615,264,719,492,
365,650,113,370,606,356,710,501,045,835,117,180,659,921,419,290,994,202,529,
369,899,643,964,958,325,360,415,366,597,394,581,458,873,836,555,125,926,372,
618,198,363,316,443,117,904,848,100,199,206,549,870,752,992,989,053,980,452,
870,281,555,357,105,756,184,057,764,736,489,609,349,613,881,558,801,324,373,
295,185,370,103,666,589,684,616,760,778,664,978,168,581,886,835,758,107,991,
839,960,822,440,309,900,532,412,051,321,627,217,157,956,631,175,121,733,337,
902,834,477,859,036,906,419,454,252,688,123,199,530,636,484,411,014,687,944,
711,824,883,290,594,014,169,648,008,896,002,021,742,504,502,799,608,406,269,
672,231,292,456,162,200,809,489,585,259,227,383,817,724,620,578,478,817,607,
011,951,294,551,737,120,561,489,527,459,687,132,897,945,850,974,565,859,164,
603,515,323,692,423,076,673,538,338,631,379,871,627,984,862,715,201,605,766,
484,670,678,565,719,213,713,142,476,880,400,771,942,657,899,379,950,886,786,
112,882,311,436,674,943,925,906,273,428,619,349,936,651,935,050,372,926,195,
381,083,429,677,568,757,437,959,468,427,629,654,595,072,506,104,134,247,121,
628,811,600,237,494,325,045,260,492,891,953,375,404,458,317,518,675,036,088,
496,639,118,561,238,617,232,870,953,851,014,407,057,009,202,640,759,364,678,
814,017,452,766,107,265,095,095,730,667,450,097,417,270,086,366,185,447,435,
012,647,652,348,252,735,455,891,176,456,981,434,450,657,215,585,754,301,627,
049,637,834,634,502,545,492,778,051,838,048,504,844,106,092,908,214,289,482,
141,543,734,140,799,280,932,120,156,772,972,160,439,463,865,873,776,582,456,
680,303,862,490,830,555,715,729,781,236,526,686,055,445,079,531,084,560,274,
190,599,615,194,436,868,536,401,483,272,303,723,583,252,716,286,328,935,426,
631,026,931,404,709,929,503,076,210,679,556,790,075,237,940,961,240,044,713,
018,232,572,699,439,344,041,390,674,195,416,667,596,853,854,411,923,881,259,
286,055,784,039,593,137,347,893,633,379,584,870,228,892,985,892,395,158,809,
111,151,849,112,758,794,876,395,713,589,186,122,557,878,830,318,352,262,766,
927,959,131,687,028,084,881,109,104,269,162,158,414,930,063,114,939,209,400,
422,900,283,580,539,280,195,324,427,990,362,795,277,808,535,205,014,500,158,
537,908,942,690,968,431,693,725,772,675,896,916,226,274,460,037,037,864,717,
018,487,447,002,744,641,423,594,785,479,741,848,659,153,652,681,836,626,726,
810,056,431,256,759,151,553,563,686,492,936,422,936,623,142,120,629,717,949,
073,064,953,368,295,294,099,991,117,728,049,589,087,154,901,080,124,174,331,
061,915,623,971,501,548,514,788,107,676,889,451,095,910,158,686,205,094,391,
427,979,358,119,004,987,171,305,420,536,351,120,935,539,979,506,627,004,879,
774,361,638,271,379,685,015,801,401,625,456,771,860,764,094,180,623,877,706,
704,271,104,611,059,412,836,449,925,798,157,975,490,897,060,574,711,693,694,
019,408,483,943,839,159,371,876,870,735,648,472,303,507,798,906,809,177,332,
243,573,973,350,443,155,737,273,373,759,140,879,757,692,270,947,970,846,232,
110,758,436,999,750,145,588,969,279,493,543,943,671,313,914,415,131,545,568,
866,141,646,518,742,017,679,290,593,511,223,631,684,617,567,780,537,021,481,
656,936,298,220,547,988,559,991,296,088,336,082,615,658,705,588,541,308,607,
343,804,208,296,487,362,244,810,402,231,826,102,103,471,940,574,895,983,045,
015,257,936,032,722,479,788,114,779,919,407,886,022,194,983,433,130,841,370,
918,728,783,355,722,942,763,736,390,704,357,566,235,389,275,839,654,788,707,
656,335,098,129,481,063,172,489,445,374,236,614,753,574,487,372,770,515,473,
280,710,447,675,418,641,487,167,669,929,448,983,435,300,430,400,698,065,909,
945,894,527,399,219,199,676,310,263,853,545,355,722,623,620,919,476,793,574,
471,794,008,635,936,277,289,175,255,565,148,889,619,137,998,003,898,443,317,
137,232,291,398,248,573,714,718,249,171,168,168,367,402,213,350,492,270,460,
753,059,288,224,674,151,047,934,573,292,183,106,317,981,524,222,329,884,751,
367,752,991,168,307,932,992,885,746,920,673,016,500,503,343,845,768,580,773,
441,134,553,869,332,250,603,025,104,143,730,304,867,566,324,568,958,581,421,
019,312,413,220,170,739,797,050,594,047,463,855,675,815,119,507,862,222,076,
074,532,940,308,638,125,503,735,339,213,139,849,889,216,531,977,755,830,451,
936,071,678,374,381,031,211,601,009,771,207,857,844,260,878,589,749,823,717,
309,968,516,283,784,058,621,623,998,117,877,480,132,475,393,438,029,243,791,
308,652,535,893,969,191,520,208,076,727,084,367,746,528,234,516,425,633,835,
616,152,028,070,788,393,213,985,736,534,959,887,845,954,914,747,939,256,016,
681,954,219,607,577,609,889,641,934,028,804,369,130,396,006,281,081,057,515,
010,961,460,632,868,189,415,799,037,809,699,471,783,635,349,956,784,772,235,
572,578,055,084,205,353,004,324,609,127,794,685,932,758,851,028,401,349,999,
731,922,787,415,266,762,576,301,153,999,961,613,556,504,524,573,258,862,822,
916,346,292,713,374,825,737,298,104,158,518,098,301,014,156,639,988,896,884,
690,079,389,684,114,456,444,553,299,504,916,773,075,117,699,681,626,533,193,
057,126,757,456,866,146,067,460,459,845,937,434,839,743,388,627,885,952,265,
010,126,978,939,253,390,769,588,194,646,945,163,494,167,999,351,938,981,454,
049,138,969,390,103,863,299,490,898,652,094,774,882,219,090,331,109,785,426,
712,670,243,658,345,254,350,391,668,747,358,275,017,865,470,400,968,171,728,
674,536,899,660,749,082,859,435,251,569,068,101,180,105,080,012,561,476,164,
049,962,917,498,585,298,122,563,285,486,767,176,707,045,086,404,766,903,246,
502,473,349,340,559,019,559,086,658,158,732,084,961,010,657,190,680,989,705,
952,539,382,596,872,654,706,928,366,218,337,207,089,102,370,698,685,610,657,
569,786,852,253,362,238,116,418,692,807,075,006,802,672,689,362,579,191,797,
503,374,220,670,719,108,375,366,835,238,366,165,657,748,911,927,003,668,128,
009,119,033,239,649,167,087,432,543,873,854,989,619,251,329,688,300,616,255,
669,492,518,880,379,310,923,309,373,996,408,579,570,709,398,204,662,174,087,
931,801,579,671,454,578,546,711,096,249,239,831,280,120,068,928,100,695,635,
654,347,457,893,580,870,372,774,723,989,877,742,036,122,950,982,102,609,554,
194,614,246,668,601,077,132,783,042,139,442,722,310,285,836,624,912,412,883,
218,763,499,820,451,940,458,624,646,934,037,145,524,517,830,526,466,954,052,
435,736,484,587,525,133,288,576,694,475,556,138,635,029,664,352,448,256,086,
459,901,758,421,928,680,303,023,912,908,356,570,137,675,528,593,172,897,832,
433,061,862,082,369,719,134,809,292,293,452,653,169,521,445,427,354,324,536,
532,460,986,416,262,087,261,178,691,645,457,551,118,435,208,403,791,765,042,
336,382,382,230,667,627,907,266,853,522,478,447,272,133,077,441,047,204,313,
627,360,510,460,395,968,500,617,391,723,082,421,101,548,413,700,719,905,839,
327,550,864,236,216,119,979,892,901,072,163,561,849,037,472,662,054,833,104,
633,119,467,290,619,690,860,029,274,703,643,485,493,215,712,072,570,831,411,
559,186,235,782,380,357,331,415,595,737,509,457,529,620,168,565,881,005,951,
530,714,874,453,693,077,817,073,469,605,840,234,557,703,249,508,944,399,482,
420,911,958,817,880,708,296,484,720,472,721,419,857,173,926,044,316,698,232,
105,349,946,612,514,191,963,086,688,375,465,016,641,911,294,787,325,852,335,
406,350,720,852,519,566,729,023,775,875,519,271,859,180,281,793,471,227,042,
373,938,133,710,084,832,613,477,859,674,641,094,144,443,787,419,072,241,057,
858,046,992,764,391,785,072,198,778,357,830,503,359,918,049,495,850,807,794,
161,958,852,953,446,029,966,022,349,596,387,877,080,327,841,405,679,534,415,
718,107,942,991,158,915,017,328,645,941,193,711,139,780,675,792,644,240,210,
682,874,040,300,757,806,684,287,787,328,438,132,052,103,059,904,821,897,678,
633,896,055,614,809,704,980,526,599,457,865,946,317,055,601,301,558,528,027,
989,735,681,207,610,555,958,647,681,886,145,001,160,910,259,715,063,826,309,
023,527,896,248,466,215,381,654,251,290,367,160,175,592,772,931,543,667,922,
471,223,894,238,249,257,477,660,942,044,549,054,185,287,237,227,474,454,104,
929,613,275,382,816,537,213,031,477,669,646,300,555,965,698,660,526,652,307,
433,151,528,115,610,577,208,015,253,026,765,052,177,510,298,638,428,345,984,
018,572,895,030,128,884,965,369,039,489,983,762,655,149,689,458,266,929,117,
469,381,840,227,952,819,861,903,499,820,968,447,292,855,500,892,915,632,881,
592,751,721,875,935,829,995,717,627,802,923,032,223,926,897,515,529,096,269,
435,158,588,241,538,897,473,669,844,256,570,955,773,165,823,527,770,902,499,
156,256,577,028,803,757,599,976,501,164,576,745,377,384,421,914,770,704,043,
709,960,968,962,672,928,274,543,966,484,225,101,233,721,218,052,139,126,083,
523,109,176,761,795,801,143,913,928,130,865,631,853,799,870,851,323,070,773,
779,105,298,221,932,240,913,561,554,693,368,970,999,141,389,113,290,084,060,
077,920,707,388,827,110,173,800,792,690,288,214,370,634,044,815,642,964,319,
342,175,783,976,690,393,559,884,790,837,528,885,869,577,457,415,183,767,746,
998,211,084,638,763,580,575,521,247,246,247,556,426,420,083,124,309,062,393,
116,232,036,266,632,824,140,067,033,410,051,792,026,513,901,053,823,335,922,
186,923,827,915,441,588,947,845,229,157,084,087,107,951,717,654,219,785,912,
803,585,405,925,321,450,190,199,388,680,664,906,539,773,613,356,824,170,565,
571,758,486,668,705,272,708,945,367,311,651,941,943,676,442,429,271,525,932,
877,318,873,162,338,587,558,478,562,120,128,236,799,631,870,455,040,306,368,
783,436,664,686,375,437,102,063,996,273,126,712,222,894,273,198,799,447,913,
814,893,326,071,446,682,144,948,419,701,959,540,334,885,192,859,180,145,163,
702,777,485,222,920,371,457,536,216,072,473,870,732,922,869,254,948,212,420,
176,219,676,374,996,871,551,404,781,124,868,131,791,639,423,170,898,244,127,
405,338,871,061,791,886,562,208,369,483,259,587,660,539,555,490,223,306,762,
212,066,305,087,186,246,410,000,134,906,069,112,823,525,338,857,915,068,522,
448,209,475,218,530,474,519,584,470,467,033,229,256,302,741,087,214,037,808,
740,450,448,923,340,604,310,604,430,767,347,568,921,940,776,610,408,814,613,
273,822,619,432,605,556,921,122,069,321,998,528,278,031,732,619,394,939,452,
761,932,108,612,958,131,413,450,685,922,825,755,916,059,279,632,861,460,660,
957,266,635,190,949,847,502,503,087,013,227,655,685,671,139,222,496,714,994,
206,638,961,639,636,007,141,481,207,326,680,593,753,722,102,271,320,467,760,
129,009,487,431,684,383,246,000,835,355,262,078,524,680,091,609,541,217,912,
075,593,873,284,527,028,248,282,708,144,845,040,382,094,384,349,786,276,694,
531,267,963,099,624,444,106,406,705,144,016,122,028,801,136,509,293,323,491,
471,720,935,199,252,782,598,233,509,896,258,257,940,687,534,176,146,303,963,
714,568,450,509,900,570,922,143,780,754,998,488,750,855,435,069,019,110,591,
114,055,931,794,060,306,157,123,313,655,154,636,627,328,439,790,661,094,410,
228,219,232,482,514,810,349,141,186,674,171,209,168,160,040,970,663,984,517,
220,512,142,633,819,207,893,843,558,266,102,489,224,815,697,265,057,664,174,
809,450,016,610,218,116,290,461,281,688,751,959,763,660,688,279,785,933,105,
083,308,970,496,452,202,188,271,474,193,678,513,995,521,995,960,314,152,799,
350,405,421,699,215,419,507,403,354,527,529,937,702,404,911,357,664,106,828,
230,821,421,499,785,412,085,279,084,979,890,294,677,270,050,927,627,740,738,
140,492,973,408,874,514,623,693,104,780,560,138,474,453,141,914,279,791,587,
240,855,556,927,970,229,307,292,114,308,969,682,190,147,755,275,121,877,399,
030,685,701,366,799,637,501,358,522,748,721,080,571,700,261,072,567,456,934,
505,114,829,553,789,109,221,383,937,907,557,238,131,363,773,108,411,065,091,
448,641,583,868,511,132,129,884,336,751,696,073,747,389,715,726,872,296,905,
890,129,434,153,103,045,050,711,863,197,903,064,539,382,179,527,144,157,318,
660,036,928,783,497,911,930,195,547,805,150,394,256,523,498,447,332,053,577,
911,890,210,490,281,139,371,220,382,563,690,896,511,614,725,755,161,502,543,
635,107,168,948,370,648,342,574,953,358,110,108,708,258,585,409,710,546,094,
126,283,627,597,016,634,948,661,208,768,382,531,018,701,551,968,748,673,482,
796,180,199,338,468,743,293,992,726,974,997,830,864,595,758,991,293,264,635,
465,211,531,867,666,694,774,527,674,133,536,348,824,674,940,771,751,463,853,
176,515,372,685,336,385,103,843,263,631,497,783,579,018,706,866,518,767,836,
046,996,117,258,046,482,138,020,604,989,889,180,277,695,413,150,763,600,396,
622,014,180,363,399,199,304,444,380,225,154,506,901,245,575,962,379,127,034,
793,798,414,325,727,580,477,905,276,470,013,206,926,081,373,261,551,740,095,
716,895,013,404,016,686,486,521,637,280,752,184,788,004,698,948,148,271,174,
880,397,956,722,651,936,400,428,630,120,957,865,964,459,974,075,853,247,074,
943,703,551,563,673,105,865,853,133,247,120,440,150,097,244,014,934,857,771,
137,075,010,839,213,357,573,775,410,181,021,682,424,852,475,103,320,568,280,
865,942,311,685,139,821,908,472,782,233,584,522,255,265,638,514,383,964,818,
414,594,058,218,652,198,261,894,371,955,101,051,508,050,765,260,065,892,787,
718,338,057,870,216,270,890,841,021,932,435,839,421,767,492,002,711,047,445,
086,579,453,022,173,745,710,391,377,458,504,351,553,723,690,729,020,923,076,
561,979,345,488,108,120,295,557,880,955,088,892,528,325,461,616,786,293,416,
150,949,288,703,023,288,957,384,723,874,891,178,543,375,192,978,434,836,112,
974,821,263,615,821,183,969,598,916,369,615,992,400,837,273,355,835,281,416,
337,549,099,967,840,540,032,036,335,069,767,509,644,116,783,682,168,223,929,
005,498,292,004,105,585,277,213,983,053,785,722,987,005,316,212,704,823,305,
982,358,919,573,538,620,933,191,387,567,229,135,540,118,087,436,538,784,326,
653,489,053,049,660,505,263,710,521,898,702,588,318,569,075,618,386,028,098,
648,104,380,040,521,958,612,768,821,325,705,339,441,686,749,527,431,638,595,
509,464,907,643,609,284,074,598,671,051,911,738,185,707,200,634,766,092,962,
087,801,678,149,050,111,430,221,616,620,566,130,878,960,344,322,705,776,183,
848,281,150,455,036,913,856,259,176,626,822,382,234,997,099,108,842,535,942,
881,806,328,675,424,471,017,258,930,679,594,870,238,781,727,145,976,997,529,
681,359,332,342,752,418,400,784,156,174,753,236,451,949,633,025,707,942,359,
325,743,624,870,644,879,210,495,299,187,956,586,981,021,681,666,399,944,753,
987,316,259,171,112,408,774,479,174,852,001,948,543,382,885,349,659,848,380,
790,713,000,817,225,016,751,106,298,833,835,004,738,636,280,682,941,160,553,
611,894,206,852,857,716,636,025,491,958,294,990,701,893,961,253,737,245,850,
363,278,850,704,652,605,162,855,194,357,316,107,908,017,003,630,658,545,683,
076,769,014,932,349,233,056,677,660,198,205,946,577,795,121,699,820,778,152,
779,962,572,235,917,784,005,213,157,591,698,634,921,578,116,922,894,155,540,
353,319,004,633,970,749,705,459,373,536,273,535,005,841,988,795,579,742,733,
063,967,414,470,393,272,787,940,348,008,713,710,823,590,162,261,307,242,266,
739,741,656,437,734,922,101,870,204,271,774,193,066,399,635,162,825,783,831,
480,414,949,986,120,919,255,960,215,326,463,345,003,178,672,799,748,447,108,
943,687,208,009,089,518,742,378,556,472,613,155,126,797,579,172,738,800,936,
377,481,298,450,385,772,697,511,978,130,661,453,237,702,404,137,109,156,792,
900,264,892,720,879,562,338,789,116,100,309,972,512,132,878,828,235,342,565,
023,278,361,783,919,452,027,739,274,022,017,806,654,310,984,678,088,650,465,
043,770,561,735,255,329,976,454,948,492,889,064,169,895,297,479,447,305,782,
904,218,445,956,975,131,889,663,866,745,289,926,643,313,090,382,459,167,447,
200,255,583,398,352,650,343,053,288,277,608,194,597,686,796,001,048,394,065,
802,362,199,038,462,972,036,122,389,856,803,129,617,726,018,879,365,663,955,
922,238,693,761,878,557,253,489,052,186,986,462,760,026,813,618,681,567,056,
802,298,228,314,484,834,962,822,923,442,812,409,773,466,277,708,477,353,849,
231,941,417,513,322,866,514,557,682,325,121,238,996,939,565,329,972,838,310,
888,241,439,655,865,291,370,954,945,510,618,554,156,649,953,364,236,354,686,
325,604,170,220,445,372,754,020,446,210,167,943,429,439,657,045,519,899,331,
278,941,290,844,798,194,883,995,029,561,008,359,391,943,543,133,026,587,582,
419,038,996,007,994,808,019,665,117,648,919,614,061,679,111,414,973,123,688,
206,872,810,981,850,389,170,315,298,359,503,285,888,311,874,177,963,872,937,
125,155,152,343,052,786,830,902,903,042,285,666,517,961,170,528,315,910,540,
417,703,912,027,071,323,051,673,873,996,616,118,080,341,548,284,401,052,764,
862,742,615,666,395,865,354,810,601,813,632,508,432,515,870,601,350,766,703,
333,980,604,589,516,010,419,683,455,809,800,938,873,082,390,287,698,930,740,
983,130,930,691,780,940,474,246,298,102,389,734,891,075,348,027,266,054,663,
583,817,479,646,900,135,836,866,840,056,490,244,326,712,846,171,937,723,789,
885,290,329,423,728,675,383,842,116,693,522,735,372,446,380,800,064,710,070,
038,799,578,410,794,269,524,554,979,705,502,051,176,347,954,864,353,454,123,
831,467,995,173,117,949,795,326,022,898,940,083,679,850,801,850,248,511,762,
009,100,832,344,765,675,583,530,135,778,748,556,584,108,210,588,596,605,136,
281,168,776,838,812,316,570,238,977,383,184,482,049,096,152,728,884,407,679,
184,678,173,185,687,278,391,208,330,544,308,854,990,882,043,227,823,509,076,
565,517,177,005,420,309,511,899,085,570,963,501,644,471,089,711,528,969,431,
112,078,612,007,488,613,534,373,643,064,364,949,884,763,184,585,508,371,586,
405,630,091,726,967,275,951,280,074,217,942,897,854,229,150,718,990,028,014,
524,086,273,463,339,911,856,340,515,139,590,555,738,448,790,917,221,769,347,
885,543,437,624,742,900,068,954,599,200,033,500,227,961,226,566,197,473,712,
466,059,399,612,714,696,226,234,439,339,251,196,746,216,207,788,530,838,837,
688,805,779,571,174,257,078,199,312,375,251,341,028,454,039,351,836,311,494,
072,011,253,482,370,135,548,935,765,173,177,399,836,753,568,121,348,351,096,
918,702,953,169,037,057,089,274,193,191,646,423,198,052,569,535,052,671,010,
933,444,773,159,454,616,484,585,221,299,787,084,170,041,058,622,266,917,231,
916,224,011,288,084,598,390,334,980,245,314,933,948,368,420,047,730,307,392,
500,271,602,635,219,820,811,731,430,573,640,853,973,107,795,939,924,074,665,
173,735,194,564,036,398,966,697,816,489,887,449,446,844,201,319,536,226,155,
364,451,579,417,897,355,818,761,828,552,329,737,922,835,874,497,529,766,442,
095,724,214,832,963,401,181,052,055,504,204,379,692,222,538,168,891,318,681,
725,780,992,179,525,171,871,202,123,704,975,640,167,374,070,769,759,854,915,
572,982,795,889,803,671,392,187,263,121,506,984,772,153,632,374,787,642,734,
278,604,924,117,296,275,301,479,252,815,193,080,532,268,801,633,480,208,324,
038,651,550,333,946,112,559,381,674,531,245,982,038,170,531,738,359,969,388,
821,131,748,467,756,638,432,301,361,062,774,456,431,780,719,992,548,941,680,
859,872,283,993,048,584,119,983,453,726,499,393,405,740,745,402,922,822,447,
041,861,201,808,395,069,270,835,019,157,174,941,020,290,097,839,560,215,164,
912,252,459,219,749,736,430,391,835,044,731,099,388,358,675,214,345,584,635,
205,050,873,127,992,292,522,642,758,208,401,952,278,329,200,713,718,134,429,
748,093,053,361,805,475,145,231,710,295,564,730,812,884,580,069,951,883,501,
828,324,043,729,294,745,277,608,184,548,939,185,991,720,182,541,351,238,019,
741,330,400,704,334,316,644,001,618,033,406,306,860,340,324,836,184,649,761,
353,114,781,453,899,088,426,109,681,355,656,349,284,148,678,190,416,963,926,
931,064,065,416,316,821,837,190,324,677,607,000,709,882,425,361,933,910,050,
280,376,117,029,965,429,160,614,396,419,129,757,726,779,294,569,267,939,194,
666,581,219,527,790,982,663,162,114,531,993,210,928,825,646,373,453,885,907,
194,289,334,950,530,797,317,419,239,683,152,100,220,907,338,140,340,654,814,
523,020,544,542,403,224,413,085,314,575,175,232,965,159,929,144,480,012,801,
239,876,455,782,513,466,658,620,403,062,025,934,311,411,764,925,914,154,628,
603,518,878,907,523,023,531,177,721,343,438,183,276,676,903,685,784,849,426,
538,108,119,467,351,533,998,804,440,443,281,537,677,785,029,123,560,845,114,
542,556,868,104,817,900,672,593,293,082,361,407,755,933,012,909,064,034,600,
801,563,249,945,901,132,913,024,711,092,073,076,287,133,351,109,242,616,981,
644,705,674,203,872,962,331,704,872,578,974,674,406,228,410,262,062,732,005,
532,914,467,929,506,033,395,942,336,431,594,138,073,571,978,323,200,901,332,
529,535,886,090,394,282,618,694,105,062,970,083,977,951,752,090,712,396,770,
972,077,173,528,892,755,236,625,416,921,652,422,784,421,229,170,172,964,158,
863,486,954,056,006,220,039,324,328,211,953,289,925,108,249,512,669,490,836,
270,788,481,813,044,149,606,576,001,835,947,867,572,290,087,741,641,811,341,
146,980,079,106,375,470,633,674,958,920,713,758,764,053,574,310,256,890,125,
489,261,000,414,566,214,236,464,153,835,799,326,263,420,435,325,508,401,963,
525,961,376,268,295,112,336,360,224,115,959,772,282,550,370,778,133,807,013,
173,072,850,445,337,867,084,015,669,172,549,983,127,002,833,792,777,506,485,
645,549,263,299,280,510,045,293,848,145,413,173,585,931,920,240,951,688,317,
828,426,193,900,418,471,534,480,253,438,274,690,461,897,064,799,615,746,831,
112,300,887,900,216,528,606,372,692,521,727,453,970,170,078,188,747,662,860,
299,185,046,832,223,083,167,925,968,960,244,597,427,626,275,411,673,790,057,
366,846,856,308,211,278,131,749,897,704,650,661,592,350,595,966,708,060,397,
123,531,716,491,349,287,988,046,934,677,923,352,250,832,206,053,541,567,508,
415,983,265,992,903,205,692,173,314,053,495,540,262,475,522,087,703,046,579,
319,788,539,154,125,840,562,603,337,703,962,610,385,194,156,135,285,665,403,
812,538,382,532,637,765,465,721,406,023,444,925,186,582,377,596,687,557,060,
487,035,773,362,024,368,985,169,038,641,896,529,761,713,037,404,840,662,494,
288,490,884,044,385,830,059,364,507,107,140,653,509,668,827,125,995,780,123,
494,596,604,916,361,922,065,873,741,513,731,239,066,876,563,800,601,430,422,
401,043,748,875,310,045,796,711,142,532,644,100,606,476,126,044,442,164,519,
071,833,461,182,374,820,000,277,055,935,283,546,768,735,517,887,858,552,228,
335,976,554,508,168,841,008,697,168,338,793,175,664,351,216,658,088,881,248,
940,522,081,568,979,168,840,501,231,740,896,575,894,513,792,861,164,010,111,
187,961,856,437,815,154,461,163,478,281,361,844,149,335,299,324,438,803,900,
443,681,766,791,469,416,793,140,626,003,449,612,819,034,565,914,277,695,354,
008,082,108,247,998,794,586,123,063,663,886,566,694,041,293,334,747,718,738,
783,807,781,314,785,829,147,735,591,669,680,255,680,786,808,051,775,188,481,
416,136,804,685,667,298,616,272,312,697,330,051,828,158,691,177,088,420,959,
156,373,412,814,173,394,634,548,369,228,583,925,645,402,524,540,654,435,712,
381,560,870,279,420,538,160,675,881,303,290,062,903,854,052,728,029,947,134,
728,976,282,934,585,942,776,391,131,920,253,356,534,766,941,511,094,674,174,
273,476,848,491,144,819,970,167,518,229,813,114,225,173,733,374,528,712,574,
452,269,215,632,753,664,871,934,907,361,608,214,245,365,821,630,216,639,190,
344,184,859,674,821,203,788,656,196,241,076,311,760,245,289,484,610,899,430,
102,078,322,519,234,175,721,692,052,937,939,263,789,421,099,185,529,331,373,
000,117,507,371,435,630,928,625,980,846,038,258,875,606,449,977,924,582,480,
103,419,727,223,444,506,724,837,744,465,778,644,378,651,100,490,605,663,530,
014,845,734,928,206,618,065,205,252,655,977,470,995,899,229,908,476,669,110,
147,447,334,995,147,008,417,022,070,666,400,011,962,498,325,110,787,220,393,
214,571,540,131,261,630,799,369,878,199,785,104,975,670,482,611,267,454,600,
083,827,939,769,200,658,515,502,922,080,959,713,385,470,597,017,458,849,216,
755,682,114,609,608,727,559,509,649,943,071,540,135,200,565,680,460,427,506,
907,491,489,956,276,800,690,906,212,893,169,925,686,573,146,929,141,483,907,
285,176,183,454,448,134,145,469,723,050,666,933,636,903,960,369,765,621,242,
934,931,595,970,590,821,187,950,131,431,356,243,576,002,364,971,496,200,110,
042,130,393,016,842,327,050,223,889,440,084,424,507,408,974,797,770,479,769,
785,580,710,288,991,114,048,992,856,644,218,491,035,890,917,891,771,163,935,
650,025,545,217,112,668,201,946,237,155,772,703,871,363,060,587,369,361,499,
707,254,557,863,429,037,232,004,647,288,136,343,226,965,978,822,210,886,556,
765,837,561,493,217,807,496,995,972,572,922,863,668,995,345,533,011,117,803,
528,388,600,609,268,838,558,030,791,860,145,168,789,099,317,692,924,287,396,
436,016,774,317,110,271,286,556,450,605,696,051,439,975,931,254,153,879,093,
293,210,652,542,106,281,817,499,067,097,811,257,338,125,330,080,530,490,094,
500,502,904,617,715,571,766,096,489,088,131,973,317,324,357,646,610,689,979,
081,825,285,383,693,445,934,685,655,171,097,750,889,760,999,657,211,292,234,
421,414,527,527,155,608,813,258,735,846,615,224,827,583,698,551,814,336,521,
701,349,082,083,603,889,644,501,738,232,836,552,134,258,380,799,301,187,047,
894,778,267,903,856,601,715,613,476,778,445,155,810,186,370,609,060,690,606,
140,456,719,150,677,170,611,986,207,813,569,714,060,145,762,708,947,227,431,
125,866,496,504,799,192,815,203,400,057,247,004,028,710,080,747,614,199,043,
718,486,661,191,803,715,853,384,167,409,654,273,905,175,369,969,828,241,257,
747,729,664,199,109,724,291,840,817,632,481,701,058,961,142,474,385,565,331,
005,451,971,138,278,324,838,851,072,058,253,350,447,889,980,476,296,719,369,
004,007,799,601,632,133,071,361,218,689,390,314,263,184,036,350,085,244,404,
914,506,858,854,107,691,450,832,287,131,035,444,526,233,994,994,402,956,311,
699,297,861,589,669,849,704,502,409,242,265,566,922,705,603,354,613,439,563,
657,631,448,572,037,294,391,759,297,322,724,360,954,059,990,527,117,742,209,
187,256,755,193,918,695,725,294,912,145,712,489,470,989,663,118,699,392,901,
337,846,036,335,040,331,440,410,900,201,472,276,046,542,257,937,501,816,031,
018,280,684,234,595,692,958,883,485,530,314,062,159,770,010,580,688,514,358,
485,676,312,796,636,227,555,884,400,708,391,013,209,936,724,375,690,160,681,
328,647,389,453,078,247,823,186,347,656,098,019,428,307,776,059,915,783,199,
359,649,576,906,126,869,441,813,887,029,470,004,808,214,534,941,142,720,938,
362,052,430,458,942,131,436,971,957,399,078,779,525,658,216,317,617,855,736,
734,951,006,913,558,068,253,436,933,580,842,115,988,573,284,079,066,089,821,
742,424,711,819,781,265,795,498,693,279,043,748,890,136,621,696,778,042,324,
262,958,721,930,117,202,121,045,687,298,487,363,389,496,818,982,676,472,788,
124,249,536,406,671,507,688,732,975,689,119,107,070,392,111,116,182,467,730,
338,035,203,573,866,593,337,019,709,777,743,181,211,327,851,009,300,646,987,
482,086,424,802,607,226,073,896,001,786,923,959,934,310,051,305,558,545,172,
776,608,035,932,741,770,335,181,644,170,449,801,124,215,302,683,127,153,749,
250,075,532,202,876,020,658,875,793,709,677,067,425,799,670,859,055,852,503,
794,540,751,753,063,244,491,249,076,387,661,020,939,372,577,771,108,565,354,
474,963,071,553,290,746,839,983,786,953,730,442,132,224,028,556,307,466,598,
019,505,255,370,158,431,056,212,463,037,470,378,105,651,221,053,948,065,316,
018,003,054,829,715,260,720,870,951,485,742,705,764,209,139,593,055,677,531,
775,858,828,381,258,613,418,086,327,454,967,965,034,841,076,684,316,669,952,
692,787,662,656,039,161,439,509,512,478,740,557,372,886,449,654,979,143,466,
323,017,735,386,982,357,094,620,390,371,282,417,603,452,348,267,761,655,429,
738,025,846,070,810,030,784,658,226,282,432,161,649,046,516,989,310,935,252,
187,518,080,773,728,808,578,037,807,160,723,731,229,391,452,556,535,539,522,
675,418,024,685,295,057,391,961,815,311,729,268,899,775,762,553,011,530,802,
788,190,959,347,388,002,822,444,300,146,139,170,013,686,964,111,905,906,119,
233,906,987,084,115,680,853,730,686,901,371,525,573,855,476,361,050,892,755,
355,099,520,466,457,773,397,233,406,548,341,531,873,099,122,844,255,988,238,
632,626,619,746,618,848,752,491,564,748,290,800,723,892,378,367,742,240,915,
367,221,560,408,233,681,690,668,630,887,369,802,238,506,847,347,189,356,868,
458,849,758,652,625,810,119,797,384,060,191,315,659,822,191,732,132,452,835,
827,370,878,469,394,357,520,613,303,764,120,838,912,082,017,041,968,451,910,
449,335,271,220,227,896,155,787,308,836,439,169,279,145,583,467,249,957,845,
768,733,889,513,086,845,987,799,705,181,006,647,164,391,323,375,971,164,463,
950,506,119,036,957,164,257,378,399,248,308,093,184,084,111,240,861,514,580,
991,127,493,707,436,221,844,051,283,197,456,438,501,175,562,337,093,139,552,
251,623,901,204,345,202,839,759,639,407,340,396,393,494,906,742,716,450,276,
898,367,184,484,666,106,870,567,588,490,044,335,558,905,266,737,826,073,790,
915,339,321,099,414,703,981,652,002,274,911,067,475,939,705,500,961,469,981,
900,348,125,749,168,558,903,657,197,249,025,889,552,201,783,726,436,286,348,
873,715,111,196,636,487,031,033,116,629,690,304,572,899,256,344,803,544,138,
210,206,916,261,506,870,305,476,645,533,687,187,471,685,721,571,350,553,451,
023,586,784,258,836,713,844,014,824,371,786,001,408,782,553,721,299,170,281,
086,011,874,303,140,540,721,117,978,956,229,285,901,421,537,855,141,489,306,
623,921,587,116,362,637,595,148,002,170,096,834,402,431,344,203,959,882,773,
076,097,553,319,545,443,539,453,146,697,847,460,655,484,070,461,807,784,666,
419,436,722,785,551,971,772,018,524,695,449,365,977,035,686,069,940,457,862,
185,034,169,903,014,618,555,296,462,894,378,375,423,209,576,381,442,910,036,
723,626,437,739,969,498,863,396,403,194,539,998,864,480,774,857,583,944,734,
444,170,683,311,503,101,830,939,442,687,769,415,702,970,470,494,467,079,362,
460,680,350,966,424,063,101,224,217,761,572,523,996,201,058,555,769,701,762,
405,153,834,834,432,031,902,094,888,540,023,407,491,672,472,978,290,233,420,
317,416,462,346,485,225,842,736,158,929,408,031,059,995,212,625,319,219,181,
173,968,219,764,973,560,788,680,708,052,804,806,841,023,214,402,034,272,887,
634,392,865,743,135,703,140,416,751,245,939,819,260,087,372,065,732,128,374,
354,040,360,238,800,028,397,075,754,435,175,472,029,100,039,376,369,854,159,
435,797,568,793,768,269,246,766,261,399,489,538,476,056,987,938,851,625,003,
451,025,166,905,681,697,526,418,436,811,072,802,259,238,030,873,612,807,548,
873,363,923,828,919,129,239,153,144,894,784,999,425,171,560,849,970,104,064,
754,419,927,047,119,215,323,227,572,392,806,180,900,615,531,112,341,220,251,
047,554,318,924,580,661,504,480,642,372,903,735,682,394,117,105,757,423,311,
462,387,478,583,316,903,655,474,681,478,707,905,341,937,989,955,532,659,374,
860,056,436,610,085,729,293,369,089,023,916,611,478,337,609,913,836,931,625,
344,184,271,066,789,599,971,443,919,839,950,097,983,599,064,608,842,995,465,
162,467,108,663,279,515,250,277,952,374,153,659,163,023,639,267,122,040,450,
548,940,104,674,881,161,593,919,922,069,314,474,871,496,665,833,578,146,400,
896,371,434,728,868,274,469,572,570,130,632,981,470,793,032,273,622,770,727,
767,733,340,675,898,090,604,818,441,108,204,787,985,401,264,830,620,527,838,
987,620,335,188,116,326,284,286,201,449,817,521,561,995,247,783,363,278,527,
920,964,928,924,064,746,649,150,451,301,327,118,978,809,517,891,974,832,677,
928,650,761,297,919,923,436,084,064,629,308,162,891,688,608,500,610,475,095,
852,207,727,506,528,666,268,653,560,033,954,963,069,603,072,795,563,275,418,
363,492,856,520,525,442,064,203,094,942,391,077,515,515,410,230,169,129,143,
331,347,860,169,892,992,208,487,718,728,393,766,314,002,159,002,573,224,128,
193,299,979,928,078,410,793,924,802,336,170,789,157,694,850,768,907,341,168,
221,855,707,205,701,425,565,541,487,322,704,696,090,144,075,219,278,485,424,
147,578,791,802,643,356,788,260,516,364,265,104,726,234,154,687,676,528,010,
815,697,790,064,333,488,098,232,274,117,472,154,323,505,334,180,346,473,342,
544,147,534,445,768,036,943,036,346,706,726,952,102,341,881,907,360,275,844,
415,952,057,099,362,995,837,808,150,947,193,819,248,319,878,451,340,446,965,
341,726,884,492,323,489,914,835,147,695,140,392,826,446,124,619,690,186,416,
057,442,070,424,139,427,746,446,192,844,487,797,168,406,257,742,758,492,589,
373,970,384,262,302,944,854,045,452,113,005,460,294,811,396,944,678,526,129,
677,364,656,272,671,917,434,668,324,003,300,592,748,673,136,588,311,153,752,
769,495,843,232,477,184,354,285,144,061,077,731,486,536,345,784,240,680,981,
049,382,126,911,943,990,298,971,469,997,424,932,893,953,252,953,857,103,233,
899,907,850,214,530,963,951,856,510,012,700,106,701,289,009,454,898,741,156,
796,944,936,346,215,378,768,222,727,207,658,430,150,968,437,411,154,720,252,
445,550,909,153,840,309,488,702,444,845,158,300,621,824,974,141,861,853,693,
364,965,430,349,365,628,942,663,961,534,146,953,134,332,701,698,571,736,167,
905,149,791,628,655,774,280,009,222,682,171,674,469,690,624,332,009,465,523,
694,460,390,283,636,058,223,601,410,411,748,086,392,544,343,959,987,636,109,
665,018,515,973,507,370,793,269,530,345,284,180,674,398,456,822,024,293,371,
335,582,777,290,820,863,998,988,390,565,648,606,586,312,622,856,714,032,957,
824,834,585,133,074,759,585,468,638,948,251,686,130,598,601,428,071,559,822,
798,386,949,658,688,528,772,272,083,326,470,411,981,672,856,976,116,453,972,
922,011,118,140,201,744,267,183,168,881,898,580,887,582,802,392,662,653,194,
246,222,973,276,350,655,839,642,389,335,330,517,463,521,066,311,297,975,368,
947,017,490,655,990,593,610,824,890,972,992,701,304,707,754,107,359,177,196,
772,869,641,939,430,718,425,068,389,937,972,683,279,452,697,376,999,495,413,
179,524,866,623,796,917,993,749,705,273,176,690,244,857,056,675,873,740,579,
781,104,763,726,964,768,619,691,876,242,827,896,339,056,581,903,238,496,659,
593,210,649,361,258,478,046,307,563,259,739,320,513,660,181,631,861,629,930,
066,821,222,154,233,669,762,183,017,992,716,114,392,391,163,290,514,974,803,
394,394,619,178,618,509,501,780,075,960,810,805,506,298,647,291,841,131,335,
925,591,951,358,189,862,275,312,475,592,862,477,195,485,675,512,888,326,064,
916,955,769,407,767,130,347,661,930,408,677,215,376,742,049,558,743,705,561,
719,776,542,654,671,193,342,428,687,128,838,472,518,257,349,531,872,966,084,
983,723,214,082,813,865,639,276,933,214,909,768,764,075,205,863,808,301,607,
288,127,419,692,721,172,302,696,387,794,916,545,858,664,993,802,479,614,862,
888,736,043,909,232,621,208,588,665,852,860,604,211,978,059,304,003,647,799,
199,389,114,329,942,388,332,247,314,763,201,531,503,777,486,317,860,025,136,
639,271,382,276,460,425,809,745,394,158,453,922,514,729,117,757,812,797,095,
319,476,165,232,196,107,935,640,678,791,222,249,659,528,938,892,311,882,820,
831,885,590,250,198,900,280,098,115,574,034,924,284,003,123,731,446,931,488,
960,647,631,296,736,402,232,865,773,816,229,404,479,244,010,239,513,441,324,
353,904,636,075,809,507,641,217,019,891,936,092,519,047,086,635,176,406,414,
129,071,940,704,679,355,513,774,701,195,200,859,433,685,537,180,308,497,618,
504,471,246,451,671,148,405,890,162,388,184,845,474,122,656,633,753,957,949,
342,521,032,965,866,170,405,881,742,135,526,814,331,212,279,551,744,541,013,
267,683,576,436,576,320,086,755,530,222,030,308,526,150,999,375,827,825,568,
177,209,148,317,817,509,908,547,188,035,273,937,516,962,755,244,857,903,596,
621,860,815,986,974,476,978,591,525,143,152,451,249,796,872,154,277,502,799,
106,618,493,351,064,222,580,344,279,355,474,504,719,777,672,568,651,853,698,
434,985,913,104,076,140,201,481,960,400,238,400,357,277,809,843,421,151,229,
854,716,656,458,470,893,213,275,817,179,960,295,657,686,807,032,157,716,314,
627,829,575,607,643,637,242,933,843,485,127,057,331,455,237,650,954,960,098,
648,266,055,365,263,644,057,833,043,117,469,331,632,761,340,367,414,519,473,
916,321,661,101,654,860,472,488,880,502,097,662,048,786,428,115,759,328,858,
308,896,679,741,881,338,694,551,834,265,869,322,096,326,678,297,921,038,750,
252,934,730,285,134,179,203,934,520,938,985,967,112,086,666,322,907,157,905,
743,806,632,452,651,276,573,476,482,178,561,265,016,623,704,038,444,121,039,
001,222,661,993,711,504,657,907,098,891,843,514,037,594,987,725,074,029,873,
024,997,931,368,380,424,267,603,639,590,383,621,429,507,330,844,683,397,994,
567,295,040,229,011,197,802,205,958,127,070,373,926,489,107,211,905,214,406,
277,998,673,471,524,925,829,654,042,251,481,441,641,027,430,596,622,769,285,
194,741,255,812,600,270,866,083,141,301,497,145,050,911,385,428,905,783,916,
820,448,737,449,963,588,972,257,981,058,601,647,930,682,629,546,770,327,710,
975,214,309,749,879,825,735,449,762,145,594,806,034,768,963,108,921,614,099,
886,258,589,131,196,792,855,860,241,634,217,755,360,078,410,774,308,429,910,
937,618,683,193,749,423,466,138,356,277,320,578,130,064,593,524,502,749,590,
805,517,880,735,266,596,624,039,140,789,606,029,533,051,781,296,121,505,624,
835,659,378,594,124,912,947,675,974,843,128,373,180,241,134,062,278,480,915,
028,182,597,402,893,277,052,301,598,310,220,296,893,030,963,216,225,971,297,
891,515,991,837,365,953,661,739,431,919,172,639,098,429,702,788,345,367,597,
732,331,853,075,109,824,801,931,105,537,937,660,153,480,945,653,686,824,277,
298,663,137,454,566,944,472,390,246,744,291,836,408,288,802,086,206,901,803,
616,239,995,580,636,996,217,873,342,438,827,477,442,590,542,513,650,866,990,
746,784,223,276,493,243,078,274,178,766,914,025,851,977,533,694,712,573,105,
526,075,437,054,372,609,105,089,838,901,836,236,511,088,751,276,821,614,456,
761,720,966,164,734,608,853,240,563,703,232,196,350,624,963,782,171,509,578,
399,971,988,089,713,828,084,837,409,704,178,223,768,942,104,197,965,301,704,
834,521,181,175,842,927,901,683,279,372,585,241,077,361,899,522,540,024,330,
666,296,195,203,695,213,888,167,955,668,875,287,385,120,210,468,251,671,393,
052,967,298,920,098,647,187,320,025,398,810,363,202,774,868,449,103,579,438,
687,953,985,813,786,954,363,074,902,894,398,153,101,943,360,449,502,931,673,
128,938,681,996,939,844,393,744,001,505,227,522,064,045,512,813,768,014,215,
969,962,479,558,547,733,506,059,466,787,518,051,397,710,731,311,510,437,317,
569,152,445,995,716,440,640,450,411,442,901,869,324,590,050,437,486,147,442,
396,054,413,666,489,670,677,466,138,020,169,557,271,632,337,729,764,588,522,
152,572,325,796,356,961,222,467,142,842,725,672,910,329,949,195,753,656,414,
513,611,415,925,879,161,557,013,155,721,947,650,078,835,286,160,936,267,859,
214,658,955,633,529,144,228,436,599,430,956,030,878,562,053,922,276,126,981,
774,734,375,021,019,941,203,540,469,341,803,289,701,084,578,178,221,119,921,
595,162,543,618,208,050,652,924,426,703,919,075,790,263,950,969,533,017,015,
154,002,392,653,240,826,916,333,573,573,533,573,891,654,040,484,619,536,854,
613,666,239,344,320,909,453,030,036,892,989,111,400,670,048,718,336,954,761,
605,010,491,246,553,086,098,306,911,666,077,036,943,491,808,773,027,869,221,
176,052,553,699,483,148,279,272,336,815,839,883,240,047,445,951,838,949,514,
397,111,696,276,621,140,055,702,698,466,072,854,145,006,608,837,931,470,540,
767,991,757,400,996,139,669,790,496,651,772,320,948,954,480,453,064,673,332,
095,358,974,947,223,052,765,560,754,917,297,094,145,823,880,863,118,267,688,
804,220,887,161,731,629,165,399,107,690,368,024,695,929,678,144,180,726,396,
991,816,713,759,277,405,733,490,936,567,319,800,323,604,137,239,920,927,171,
030,695,947,726,538,745,207,718,438,281,584,086,768,321,422,568,538,519,747,
595,089,664,625,317,521,421,723,886,872,400,222,132,214,744,110,412,824,372,
202,426,918,004,908,787,834,258,810,737,353,013,721,290,434,399,923,046,937,
009,871,533,543,239,448,594,055,820,239,239,678,740,661,813,978,845,869,790,
406,327,168,824,045,454,713,974,510,101,879,468,761,659,345,786,025,315,887,
968,735,565,990,787,810,574,848,849,000,222,137,947,500,201,058,637,496,926,
502,640,781,071,989,755,724,089,158,972,426,560,584,258,885,050,525,773,769,
029,782,873,530,108,857,325,168,312,483,126,410,645,835,189,715,377,619,239,
573,750,178,301,566,998,588,831,576,989,101,263,187,638,816,967,009,409,065,
957,144,562,740,382,476,860,985,619,109,277,181,214,677,113,957,236,715,533,
358,696,583,311,732,774,718,148,970,527,822,180,473,920,127,745,455,196,401,
900,844,773,422,763,906,210,909,241,268,049,434,446,867,278,151,673,903,917,
231,008,504,265,412,276,073,293,660,450,140,735,234,526,732,057,113,347,506,
527,777,414,184,372,303,875,608,462,668,540,224,572,165,165,598,634,215,629,
008,972,462,726,158,252,497,873,670,638,512,202,902,895,540,817,886,850,232,
430,680,483,206,968,491,074,417,738,960,782,567,435,271,226,985,873,645,829,
470,320,537,357,243,601,494,651,595,123,674,062,297,742,191,626,615,273,143,
313,225,119,647,439,502,529,556,489,348,045,787,411,921,872,891,154,838,324,
021,057,989,799,433,094,611,271,267,444,400,934,553,535,835,968,749,236,962,
468,815,963,490,405,828,486,822,551,291,021,076,133,887,940,068,794,596,884,
717,748,368,588,900,075,640,812,926,566,444,331,810,842,292,210,011,686,770,
248,536,557,634,460,327,186,183,518,325,512,596,104,254,763,347,391,639,755,
035,396,578,950,401,858,315,998,620,352,851,706,344,996,148,456,821,187,596,
481,323,012,748,966,983,399,380,037,163,202,442,555,323,955,837,939,927,563,
666,906,392,535,735,436,789,246,239,986,046,237,421,447,300,660,416,304,747,
522,650,259,983,434,291,308,919,773,666,520,420,415,807,765,259,461,463,102,
221,785,904,819,189,319,225,256,184,089,137,997,740,289,843,500,516,084,094,
197,833,638,121,645,690,164,479,801,603,119,662,367,104,643,175,483,165,357,
432,664,739,233,715,296,508,946,431,530,654,136,011,984,998,748,864,750,214,
202,282,401,184,948,268,716,225,277,763,564,832,028,020,921,458,036,640,081,
258,357,342,121,911,768,356,890,607,124,024,409,760,270,424,593,169,658,874,
022,048,499,674,570,266,633,726,717,671,225,200,825,661,130,943,200,311,656,
656,745,531,242,339,797,302,041,216,077,473,902,903,617,703,359,699,991,270,
254,782,625,755,974,484,167,311,490,402,106,336,435,636,101,089,062,654,799,
215,118,527,252,347,046,175,473,711,351,096,169,614,548,679,787,856,253,590,
208,986,921,315,453,265,973,055,754,472,846,702,905,358,429,371,940,452,781,
980,337,504,227,992,389,301,690,529,125,952,498,647,743,817,141,887,761,870,
077,283,195,160,959,339,184,483,333,451,711,217,344,183,254,294,075,135,247,
304,547,695,461,240,034,252,525,303,147,863,271,053,612,095,671,483,209,048,
849,533,507,194,787,513,675,562,784,931,079,796,112,023,435,830,261,206,793,
250,740,938,601,704,763,515,232,952,111,963,284,567,716,336,251,871,616,651,
878,841,059,252,806,485,222,031,763,606,034,070,662,493,063,875,461,966,935,
117,719,546,954,952,106,326,996,715,231,181,940,652,075,104,672,739,819,916,
342,713,530,035,387,356,400,125,834,505,613,707,704,961,958,275,371,762,527,
423,969,587,401,835,923,417,573,872,094,492,095,607,487,129,258,272,293,241,
146,204,623,917,505,558,297,855,768,612,916,212,008,252,837,735,882,033,480,
954,994,078,055,852,473,294,624,014,273,848,583,199,496,697,528,005,346,322,
317,705,378,394,349,720,928,830,203,129,454,326,293,456,205,011,452,512,630,
081,788,965,836,510,755,433,048,843,431,533,513,312,012,656,798,941,442,144,
362,424,628,810,984,703,950,472,161,046,103,076,971,335,602,335,055,774,396,
009,246,019,779,588,548,860,512,474,111,926,123,625,704,057,770,158,747,076,
170,065,618,343,479,495,538,150,179,548,216,524,619,966,851,945,541,396,381,
050,234,260,158,654,766,035,646,000,299,599,363,557,584,577,410,060,250,258,
467,603,390,196,212,548,382,385,046,355,843,611,267,921,895,475,110,552,776,
216,525,779,895,441,444,065,241,347,210,130,739,459,909,007,218,153,740,641,
208,071,025,822,464,901,357,958,329,551,657,088,370,768,119,354,100,398,742,
307,184,952,321,164,942,067,033,917,157,852,675,404,323,394,550,373,116,614,
368,682,768,627,705,303,319,109,903,995,253,031,264,967,060,800,726,635,785,
975,464,953,489,180,136,416,084,360,575,511,082,227,870,120,538,058,358,764,
820,467,507,559,952,945,991,543,486,304,012,552,331,292,337,956,463,368,013,
480,588,339,557,589,021,397,941,539,663,780,143,845,986,625,645,493,687,238,
870,558,498,537,612,997,553,955,817,467,261,013,166,278,729,913,829,738,344,
430,003,705,899,079,896,861,310,811,822,998,750,805,483,759,043,277,640,486,
038,029,082,788,369,295,523,148,991,410,114,836,807,730,464,991,649,812,909,
527,415,092,148,664,698,869,277,754,998,291,970,020,615,241,540,517,980,606,
948,414,762,977,060,253,174,470,321,138,643,433,549,713,079,171,510,634,372,
255,306,119,289,585,432,451,875,127,221,305,945,244,924,344,084,776,919,517,
877,276,155,193,347,820,620,945,041,990,829,367,748,844,379,164,607,905,608,
190,987,491,355,522,734,449,677,548,885,927,212,383,000,752,996,348,963,823,
785,438,134,104,016,294,348,492,873,493,892,891,637,386,647,849,166,645,475,
975,212,024,677,090,219,629,179,805,668,335,581,578,002,181,677,841,653,970,
894,414,270,152,727,008,426,973,373,919,021,301,870,137,800,975,888,356,521,
164,625,266,499,091,073,568,295,294,810,569,910,210,401,341,929,930,594,961,
227,526,800,715,103,358,095,453,853,374,581,589,354,939,357,932,029,362,963,
519,563,706,228,604,080,666,115,923,224,203,594,594,805,044,136,593,646,335,
164,174,128,220,985,381,439,296,412,619,586,795,650,643,031,263,145,456,837,
376,006,808,025,458,059,947,418,353,876,759,403,022,783,607,907,893,867,831,
666,105,240,414,008,680,902,472,294,623,218,513,067,505,984,527,542,837,625,
011,833,055,037,442,432,979,822,283,543,631,171,309,267,928,951,325,055,929,
678,218,792,468,824,809,330,431,118,565,909,046,962,635,635,223,633,980,476,
887,747,503,646,016,861,764,961,973,298,431,204,307,060,774,767,535,488,465,
705,291,599,893,168,046,930,567,091,613,282,195,986,053,382,387,704,920,358,
953,460,852,354,196,439,211,104,604,822,031,023,439,781,330,166,080,903,266,
347,640,288,068,380,808,270,700,407,455,649,931,457,493,972,015,944,451,884,
915,243,744,464,456,043,196,720,599,917,620,360,267,380,217,262,802,037,036,
253,592,189,550,865,966,576,255,854,603,818,281,696,979,704,315,685,521,159,
932,685,200,463,870,377,454,569,701,519,320,661,602,708,570,595,064,727,408,
393,669,665,034,693,819,418,877,045,724,048,321,577,138,544,263,899,030,476,
372,464,361,431,902,646,477,203,196,637,538,620,106,693,937,365,997,139,566,
032,408,750,181,214,899,717,629,664,188,592,489,909,115,702,069,194,742,055,
469,345,746,340,122,559,472,482,237,621,466,528,732,079,583,721,638,575,281,
587,562,850,144,583,946,245,446,637,476,966,075,927,561,814,540,977,450,150,
685,627,599,498,575,566,542,418,994,874,759,038,666,582,804,065,749,587,935,
955,315,387,918,215,761,087,372,493,882,808,924,403,800,322,432,657,264,612,
633,478,165,027,394,357,444,945,848,922,337,785,040,621,017,109,285,399,586,
975,290,206,048,349,918,009,335,505,858,869,450,168,003,246,864,376,146,009,
514,464,907,484,372,687,350,615,986,357,355,447,522,092,183,072,861,989,362,
723,173,491,410,935,571,576,694,926,847,033,053,430,655,590,320,067,261,126,
414,511,284,300,012,818,871,825,573,687,642,845,222,217,691,702,132,263,952,
273,572,575,948,234,182,063,759,132,569,249,916,370,660,921,132,335,764,860,
876,111,828,797,977,701,459,117,204,799,192,938,603,421,509,737,511,784,075,
183,929,519,439,073,760,739,631,579,045,133,897,778,058,728,400,399,792,543,
155,855,660,763,904,058,328,231,802,869,866,773,067,207,443,558,988,815,938,
973,794,944,982,604,017,656,326,413,240,813,455,311,556,721,578,761,754,144,
571,433,613,188,186,864,219,231,462,743,880,876,494,495,197,160,655,424,273,
391,307,616,059,357,326,353,693,628,022,781,190,192,912,268,909,111,606,771,
361,907,427,077,616,713,376,287,074,105,584,341,413,184,539,785,282,262,502,
698,091,927,971,545,512,745,200,840,362,810,001,367,447,806,984,552,334,267,
353,592,044,090,888,741,053,145,565,729,375,716,034,226,158,993,674,905,619,
102,218,014,117,477,908,163,369,084,740,890,887,990,179,678,595,720,292,606,
236,962,253,412,351,447,087,572,739,577,420,570,822,784,045,546,700,390,001,
519,329,343,295,269,106,448,525,155,940,838,314,613,763,775,118,726,302,240,
430,805,484,471,630,355,653,855,098,647,298,440,925,429,911,606,486,952,160,
213,950,229,307,463,931,015,748,092,745,591,308,559,660,602,292,270,990,370,
559,608,574,779,069,529,095,809,181,519,326,511,815,784,201,354,912,362,047,
055,067,497,510,521,041,482,624,740,219,843,941,025,475,814,469,584,054,777,
609,442,086,244,636,041,155,851,679,120,587,947,896,675,352,614,146,392,004,
498,716,330,687,159,656,037,216,153,039,331,992,918,620,562,985,824,088,138,
234,722,168,460,463,145,599,252,680,228,860,627,546,912,226,652,861,968,029,
986,814,144,133,745,445,235,211,371,721,878,541,661,646,539,763,035,160,245,
121,956,256,075,264,389,227,130,739,092,618,682,038,479,704,697,321,054,632,
847,830,721,375,965,263,440,224,235,723,356,491,520,217,675,172,609,710,475,
323,540,644,346,286,752,670,426,629,084,390,794,060,844,921,145,740,779,867,
311,442,463,576,854,559,696,172,369,962,750,871,225,283,036,430,787,462,606,
787,946,107,739,253,940,979,235,945,471,040,530,389,954,040,424,467,661,516,
066,327,942,814,620,013,726,026,916,392,694,693,946,159,228,527,646,984,705,
397,407,061,783,179,350,639,566,313,247,795,390,897,165,588,369,829,192,967,
882,907,203,036,323,425,600,619,001,050,105,945,812,807,757,892,975,049,488,
690,444,192,177,436,648,401,240,399,464,895,749,177,108,784,581,576,355,268,
574,730,244,759,228,686,601,977,383,142,544,250,099,884,803,467,864,842,204,
394,270,878,354,790,645,352,276,604,271,425,341,267,417,975,001,455,823,517,
586,287,931,511,885,641,563,756,984,170,650,933,851,747,167,929,057,539,257,
151,827,393,867,240,636,038,139,562,593,496,209,284,466,264,546,097,112,653,
833,215,828,039,956,284,628,112,103,299,590,881,153,181,896,575,039,010,084,
098,169,162,424,577,799,711,199,244,777,919,537,959,019,365,381,503,209,723,
911,035,099,662,492,025,086,191,319,530,931,340,913,255,034,279,589,990,367,
558,802,571,449,627,891,017,330,770,174,098,560,632,999,422,180,285,100,713,
663,155,634,131,461,884,830,013,063,048,823,967,565,794,846,591,953,701,297,
246,405,419,002,109,751,576,856,977,953,354,336,924,085,932,819,433,086,502,
523,293,731,825,458,803,615,608,300,499,674,319,278,905,360,118,586,568,337,
577,737,189,410,933,590,533,095,225,445,464,032,604,903,029,315,071,145,699,
175,496,295,010,689,744,085,214,921,818,593,411,149,604,288,545,303,195,171,
199,080,281,805,882,012,226,702,527,981,243,358,576,797,267,947,094,973,383,
613,339,451,193,661,460,051,512,456,370,757,396,540,513,315,764,801,045,302,
913,013,552,496,031,270,845,138,599,887,570,281,238,419,963,772,321,959,832,
195,809,883,791,892,935,139,260,931,018,145,086,923,878,021,732,735,905,801,
777,525,127,447,050,513,450,488,233,793,848,645,495,045,197,107,999,724,535,
258,802,680,204,757,661,193,109,933,524,457,908,731,670,652,415,027,428,859,
832,361,125,184,703,253,469,370,543,696,019,775,761,334,878,158,795,948,271,
059,750,432,059,257,425,955,706,449,505,272,693,240,500,120,073,459,024,180,
460,091,510,948,648,412,851,596,824,039,431,154,197,868,130,868,383,262,236,
448,230,711,033,555,734,116,013,405,203,782,395,674,979,220,944,209,319,983,
776,500,556,381,693,708,615,607,635,251,941,645,351,419,294,330,223,817,525,
540,050,248,228,911,934,222,458,649,308,017,126,687,333,677,443,061,481,979,
692,498,818,079,222,505,055,084,976,849,885,679,196,479,801,073,177,943,648,
728,542,187,298,583,950,823,681,671,355,050,357,958,591,819,728,594,484,948,
433,181,285,698,778,086,072,102,476,612,972,421,120,055,445,251,548,859,766,
504,666,420,898,848,212,170,420,898,588,306,535,983,728,134,634,992,891,983,
020,810,291,067,659,459,914,649,964,639,074,573,255,272,179,398,178,819,096,
159,105,968,190,128,749,097,751,080,722,235,123,244,817,952,473,923,345,612,
854,208,300,958,597,825,472,650,016,725,859,582,911,382,470,332,115,165,007,
406,386,101,043,058,509,703,140,272,548,168,892,764,910,880,883,099,004,334,
088,409,462,882,313,595,624,501,081,430,258,858,407,940,807,558,111,764,730,
024,471,804,523,676,479,856,129,020,310,944,257,022,106,398,005,988,254,857,
777,084,590,996,763,161,586,138,532,904,614,308,964,221,024,132,995,493,475,
329,272,892,643,630,423,331,511,676,606,145,075,219,881,559,891,403,159,363,
616,285,378,200,091,644,797,625,890,704,495,036,962,533,602,996,720,572,944,
376,650,421,850,349,677,200,879,357,305,215,079,452,470,510,816,321,908,103,
181,713,960,207,689,576,777,737,555,261,029,789,304,570,621,803,572,785,406,
765,070,816,557,466,987,311,217,474,608,432,489,414,134,589,875,830,077,137,
965,923,264,831,601,208,797,588,791,231,005,913,484,887,347,994,295,416,466,
674,294,982,118,868,685,240,947,782,562,345,461,315,207,655,946,444,502,137,
475,989,699,967,420,723,085,913,883,109,416,457,918,324,275,164,322,352,340,
046,306,295,828,956,931,804,564,585,289,704,948,571,305,173,079,276,384,919,
472,139,226,053,908,285,542,764,802,373,070,314,504,692,983,587,519,992,557,
747,916,007,626,112,667,941,115,173,517,124,162,819,815,356,122,171,026,501,
734,037,115,362,395,189,275,510,323,145,550,251,896,235,955,263,862,306,157,
982,296,390,446,647,472,295,884,040,032,023,348,044,378,889,812,791,006,587,
830,464,536,669,759,213,017,830,864,335,868,838,225,340,731,852,749,646,324,
033,872,628,162,112,207,912,932,438,760,008,312,754,784,552,296,731,067,166,
326,571,401,967,820,654,278,982,589,867,708,998,966,507,865,418,805,830,229,
544,388,018,021,867,787,849,809,142,893,474,856,130,121,383,830,582,902,694,
822,235,499,133,245,768,473,536,661,216,300,623,637,322,687,882,228,647,262,
714,787,051,522,043,577,615,122,971,443,907,623,241,357,826,793,950,653,881,
940,308,907,538,042,915,055,237,334,308,460,915,076,462,220,925,008,838,699,
058,023,743,806,063,085,503,145,709,366,262,312,814,743,433,938,572,579,428,
911,024,805,622,625,018,601,858,307,743,524,979,294,457,938,852,436,270,447,
863,614,461,601,887,333,190,195,422,450,168,346,146,062,527,525,509,359,684,
981,512,483,235,760,212,340,723,138,953,932,143,785,281,747,202,638,821,387,
107,633,069,391,227,945,221,674,127,688,249,259,119,264,119,865,359,668,608,
113,077,733,939,025,493,848,626,443,825,690,394,595,661,001,921,586,814,005,
809,520,963,976,424,543,955,481,209,869,795,101,335,214,834,047,927,095,355,
849,808,495,067,104,558,310,403,251,425,083,200,651,923,809,987,574,554,575,
591,612,680,169,045,872,009,935,498,820,344,541,284,922,308,584,766,233,882,
567,710,432,569,151,427,801,842,608,288,656,477,800,568,930,979,940,441,869,
251,305,994,062,638,232,435,362,563,998,948,896,324,432,576,380,708,466,044,
806,917,145,116,761,018,437,725,443,812,098,406,172,752,665,301,360,283,859,
505,233,702,690,653,588,072,884,399,562,133,092,948,294,330,918,760,858,005,
812,857,773,658,713,743,382,353,574,535,123,316,804,801,271,692,821,985,457,
221,013,613,236,951,648,281,422,377,825,397,096,420,877,658,782,559,997,663,
061,571,837,067,079,942,041,984,420,012,551,686,247,585,424,125,502,894,863,
644,184,918,601,918,724,300,541,263,309,551,523,181,544,350,074,687,441,155,
215,318,032,484,803,829,381,037,132,837,395,030,954,627,326,338,458,114,276,
565,738,542,281,356,860,177,013,115,540,924,981,160,672,890,933,959,505,920,
776,074,269,824,777,886,418,514,706,679,826,444,986,819,698,070,025,107,102,
133,763,957,675,270,363,965,355,761,703,312,825,506,310,534,082,339,947,964,
785,849,411,363,407,193,698,764,644,779,918,691,681,506,806,585,458,626,350,
402,817,602,928,266,403,847,924,722,120,139,799,472,812,127,513,378,668,012,
340,934,783,494,103,021,993,804,113,246,071,575,743,637,616,441,558,113,854,
284,165,198,047,128,407,603,469,014,971,828,983,597,119,895,883,123,094,304,
317,989,927,138,039,779,612,467,666,887,564,143,051,771,291,241,838,235,434,
923,530,673,438,633,324,510,988,563,245,823,433,673,584,937,187,586,389,861,
234,791,046,842,311,762,683,778,761,541,575,856,738,246,265,502,367,601,349,
954,663,155,938,353,370,130,782,114,511,242,443,307,944,238,599,518,572,261,
761,202,555,140,703,919,749,760,907,319,939,374,451,676,156,872,904,035,472,
824,591,570,089,941,254,411,743,057,185,102,288,019,154,159,585,584,732,611,
882,129,160,326,062,491,209,698,377,759,317,081,260,630,160,433,361,996,819,
936,347,545,111,146,740,067,012,035,022,539,807,932,194,455,970,130,602,676,
947,218,515,505,997,888,336,583,694,713,934,185,255,708,891,929,012,927,873,
915,273,977,179,035,343,835,471,596,748,604,473,051,651,499,567,704,189,810,
769,594,825,486,784,126,650,857,615,703,186,246,234,956,228,878,108,531,350,
782,678,320,319,342,715,250,660,081,424,876,890,612,650,606,916,518,828,152,
952,873,420,820,525,224,389,806,774,843,577,230,748,923,933,951,877,468,413,
893,938,633,236,422,472,488,457,791,803,517,149,891,145,223,612,552,232,389,
264,670,212,341,064,804,897,544,269,412,824,400,580,785,782,715,038,530,477,
756,851,897,658,223,411,951,511,756,732,545,381,947,143,607,857,764,114,002,
063,747,294,433,429,536,200,885,649,698,811,835,340,809,200,458,401,076,599,
175,261,650,787,403,030,376,184,238,246,084,886,542,038,426,867,198,934,013,
553,072,198,028,503,648,633,473,090,292,588,597,620,082,277,380,657,043,371,
239,824,481,273,954,301,676,055,738,094,471,661,120,308,035,794,121,384,858,
262,864,137,471,413,041,053,648,201,671,422,851,887,599,803,144,173,112,512,
102,142,485,456,040,671,761,512,176,019,056,023,433,711,275,718,492,351,299,
571,839,327,047,991,162,193,647,474,154,016,881,963,085,097,883,833,442,449,
573,135,478,136,257,904,913,197,878,935,055,082,706,414,376,089,158,692,329,
746,580,812,518,569,077,490,059,439,504,086,231,839,721,281,799,785,828,987,
327,361,123,185,596,807,070,650,824,962,699,358,534,999,278,359,978,507,375,
061,655,933,580,108,859,842,872,448,609,213,458,361,213,496,692,715,488,560,
994,307,318,473,489,768,936,917,546,542,427,624,889,285,648,152,636,258,893,
060,389,595,254,606,430,881,779,423,513,405,744,675,807,305,268,658,143,888,
345,295,401,078,003,844,716,714,304,792,330,738,049,707,533,634,253,668,219,
226,994,354,598,145,125,729,956,230,113,525,927,967,788,027,224,826,734,366,
361,091,067,771,771,967,316,955,829,273,949,605,709,994,739,169,916,718,053,
340,227,497,742,969,179,190,729,580,053,733,311,406,675,086,235,301,765,354,
628,174,410,998,481,181,112,007,897,839,795,238,619,440,145,967,694,505,534,
271,958,962,973,486,161,191,504,525,993,519,887,575,034,920,222,827,297,048,
762,693,704,022,843,760,923,764,161,610,706,829,170,956,368,280,373,527,090,
049,884,679,361,900,220,509,921,304,419,866,356,109,516,715,069,367,737,380,
487,771,505,375,210,723,612,454,109,402,997,756,757,988,471,442,623,349,675,
466,015,321,324,896,854,062,578,873,000,892,238,962,800,179,850,174,127,226,
373,757,908,232,858,554,174,870,961,148,701,310,478,066,795,018,482,288,218,
058,932,194,828,062,309,930,343,790,210,211,988,945,968,273,513,035,863,517,
959,373,308,166,741,860,292,608,639,075,596,797,941,497,396,505,921,999,218,
802,848,768,145,639,408,301,241,120,116,387,249,190,254,105,457,278,107,484,
011,158,058,724,363,590,050,751,749,699,044,734,964,065,593,797,200,919,057,
495,800,476,708,859,523,408,014,982,572,717,892,147,444,852,124,716,521,434,
906,611,298,541,094,268,094,613,658,151,794,852,922,286,282,654,381,093,694,
525,709,926,750,992,582,342,239,483,847,248,451,365,694,699,094,434,859,815,
555,336,822,968,301,569,420,990,088,560,840,653,057,762,067,581,455,511,426,
984,148,276,008,883,778,594,699,350,695,355,863,208,663,310,882,381,495,287,
181,791,819,371,369,998,829,286,353,600,477,090,703,208,921,208,617,867,907,
249,639,234,691,861,955,707,587,336,154,679,224,559,557,804,567,060,080,697,
862,194,344,914,877,993,431,023,274,719,429,850,492,982,501,896,093,047,614,
924,464,124,848,009,492,475,682,893,842,394,583,507,135,356,881,564,013,081,
037,321,008,544,939,548,989,472,113,197,657,466,342,485,694,067,291,837,813,
271,159,479,478,321,241,197,379,579,602,551,594,642,733,602,396,244,374,239,
825,603,724,884,126,179,488,295,286,845,694,351,894,459,229,649,464,972,901,
397,182,017,361,456,969,255,027,777,087,605,009,722,311,908,010,859,501,270,
759,777,151,260,889,274,802,611,718,595,360,542,736,993,096,985,771,145,531,
718,213,954,040,448,144,391,949,371,926,345,837,211,043,832,686,938,937,562,
938,692,893,239,553,249,203,151,521,845,364,756,182,657,715,797,884,689,636,
924,077,133,993,059,093,322,376,309,432,863,713,105,913,948,664,381,111,721,
256,154,535,019,533,759,980,204,421,798,210,407,878,517,782,139,329,435,214,
535,701,414,842,181,290,461,417,316,594,567,134,479,953,455,114,108,112,798,
757,402,553,960,365,765,037,329,785,298,474,247,859,360,498,879,495,074,154,
734,646,154,691,372,504,234,824,643,938,490,841,871,523,236,716,657,025,916,
359,841,568,272,529,651,635,508,794,012,925,761,189,448,116,706,793,680,700,
890,716,290,954,038,154,432,691,873,634,118,260,450,054,633,443,078,749,016,
656,734,482,143,116,061,977,315,034,821,482,059,847,899,727,172,291,160,906,
283,283,979,435,264,463,237,784,891,296,739,487,927,686,441,692,296,270,937,
177,626,046,111,390,455,896,190,824,302,747,235,257,201,893,932,250,393,734,
665,591,733,747,240,776,671,533,393,833,732,913,856,895,708,097,108,484,543,
046,263,206,193,892,820,783,224,646,950,856,775,741,079,420,401,546,082,414,
902,283,867,504,836,034,495,209,133,247,169,266,446,947,795,787,789,876,550,
074,649,497,868,327,733,469,729,695,911,499,967,794,357,545,646,949,975,560,
465,257,982,303,540,458,062,926,058,304,228,987,580,022,356,808,597,960,376,
288,006,432,844,353,068,264,548,158,487,579,551,501,282,294,801,947,837,768,
789,796,590,565,445,405,694,361,058,293,939,176,475,712,596,906,178,408,046,
476,543,883,177,515,515,121,669,224,989,245,399,081,218,474,500,712,759,400,
523,020,922,796,684,176,525,366,335,652,257,548,981,347,381,416,940,730,781,
034,569,681,625,940,202,789,429,927,591,819,349,135,650,073,832,504,810,025,
769,536,762,286,735,243,079,826,111,020,430,981,652,491,461,488,759,399,933,
559,239,190,673,825,694,151,619,758,550,862,997,726,805,354,842,572,847,693,
236,597,371,650,483,460,771,745,401,257,064,827,430,872,507,985,414,879,748,
927,442,902,829,328,256,146,365,809,213,730,223,316,329,708,677,009,918,452,
677,198,633,465,184,580,197,322,768,316,187,179,484,548,650,088,231,250,030,
282,887,190,539,143,297,401,294,550,019,216,973,728,288,226,354,080,996,699,
260,241,701,561,477,399,144,357,031,057,791,057,046,258,801,042,734,392,880,
574,467,331,021,473,020,767,761,091,851,417,681,218,414,944,962,860,820,612,
989,105,828,733,366,551,210,293,931,334,786,908,814,643,227,287,279,901,372,
441,191,481,735,348,935,880,684,056,117,699,967,271,256,886,182,136,029,271,
286,877,796,159,931,433,770,092,042,224,966,397,476,432,901,725,701,956,626,
948,278,965,589,208,272,780,631,449,394,931,816,315,094,504,664,736,486,421,
445,237,481,273,447,093,549,022,352,157,531,875,455,753,992,705,449,488,408,
085,656,161,041,431,357,097,629,573,008,929,057,141,986,858,884,451,819,473,
136,844,960,138,192,870,860,453,905,752,636,774,675,987,060,873,077,592,725,
588,320,480,131,472,900,488,945,784,991,935,445,555,723,628,308,609,291,071,
657,642,568,707,957,436,146,768,558,241,229,074,370,376,218,648,503,200,030,
507,045,766,043,820,885,569,525,805,530,267,977,234,405,425,566,761,367,086,
673,124,730,959,186,172,446,569,692,915,941,779,110,823,431,732,269,651,675,
870,414,295,305,462,046,001,494,948,578,369,569,558,419,967,405,295,496,001,
959,762,435,553,354,722,967,333,661,908,386,785,609,069,842,270,073,014,633,
485,038,211,124,947,779,656,470,171,717,482,929,720,930,873,484,753,248,969,
097,230,738,908,855,681,767,759,940,483,344,819,139,243,829,812,485,335,869,
166,226,358,729,868,746,636,467,486,853,937,167,386,113,598,152,711,582,989,
743,411,989,063,544,318,959,276,221,602,592,610,238,459,335,227,566,753,646,
745,259,331,578,835,825,394,221,329,266,196,202,238,594,448,798,249,541,557,
400,359,003,386,798,841,302,567,404,030,855,352,413,821,596,409,633,081,499,
240,270,441,469,348,397,839,850,557,149,225,744,058,776,088,864,749,339,279,
855,055,031,953,808,698,246,812,411,551,911,055,287,097,334,674,937,665,489,
183,835,155,421,452,536,307,577,185,699,211,801,263,643,754,603,426,019,823,
221,768,460,616,666,737,261,832,254,606,216,216,874,743,814,999,962,126,832,
261,640,932,330,605,215,675,657,108,324,856,956,906,688,303,786,933,810,394,
385,412,190,245,134,716,310,763,014,840,626,212,730,900,966,797,356,454,109,
451,431,055,686,335,248,277,600,143,164,460,222,517,681,759,837,378,235,107,
924,879,762,530,212,943,632,689,516,781,557,273,224,086,215,411,880,738,231,
360,408,755,422,293,426,066,255,622,075,163,194,043,721,436,872,395,317,879,
214,751,234,595,410,939,886,670,149,832,369,292,258,367,840,367,517,954,023,
143,607,338,881,098,569,001,604,647,876,071,756,265,692,461,930,718,755,737,
765,460,770,786,016,402,219,742,856,774,608,948,549,161,313,977,373,548,976,
417,502,179,798,517,036,593,456,169,976,824,563,272,314,913,283,255,887,019,
423,404,171,661,352,888,653,979,793,685,509,280,064,297,865,769,593,262,834,
333,392,634,456,173,422,107,100,846,615,745,993,368,419,632,730,812,561,310,
730,994,132,024,717,754,129,843,555,508,456,379,998,005,311,148,642,920,158,
769,165,148,250,670,297,030,314,943,504,916,525,830,784,472,452,701,445,808,
478,946,510,485,047,461,646,459,672,313,557,474,549,993,220,367,936,662,776,
250,069,114,437,848,331,242,613,209,674,001,287,433,782,953,626,694,275,803,
259,922,062,385,415,057,957,000,963,090,521,892,510,853,296,666,748,116,135,
621,241,925,928,817,930,196,379,575,971,910,736,154,458,417,587,625,602,574,
753,695,979,817,852,960,519,675,089,191,652,930,181,341,289,745,331,588,722,
903,941,131,771,577,254,124,824,011,170,622,978,385,132,314,249,802,682,411,
867,774,330,450,350,693,409,974,069,619,580,273,426,106,336,473,292,422,595,
843,171,949,271,927,353,264,575,424,932,037,910,378,513,338,528,407,446,196,
766,684,519,157,527,790,405,349,580,076,439,174,268,120,219,967,740,855,915,
520,050,791,592,737,323,704,791,581,855,205,836,664,892,606,955,089,140,874,
559,341,685,134,197,314,139,643,630,262,415,110,318,673,733,618,519,932,060,
500,619,412,969,108,820,961,387,420,179,098,645,478,329,313,149,871,657,919,
196,570,922,870,842,258,337,742,089,502,224,336,957,803,537,869,459,558,876,
390,010,279,100,196,800,516,794,827,685,004,560,911,318,288,669,162,567,383,
144,358,280,981,085,341,951,928,225,815,959,897,630,252,312,753,884,902,878,
830,410,470,040,509,480,675,337,964,232,066,252,475,832,742,616,782,706,378,
142,072,939,653,866,401,314,353,592,670,917,288,379,934,734,786,453,683,500,
914,115,816,080,557,317,383,587,598,285,630,818,482,437,043,544,306,714,213,
193,589,326,693,625,745,945,658,991,939,787,115,004,675,866,656,354,602,645,
000,013,450,968,564,398,851,126,292,505,115,402,225,359,651,843,270,272,761,
899,367,976,564,700,663,697,121,463,249,089,000,027,096,110,285,645,370,044,
476,950,826,276,792,151,725,502,634,855,512,938,615,269,786,985,706,262,118,
921,364,346,363,200,491,114,699,971,005,606,173,524,859,398,333,150,910,481,
393,231,173,855,404,663,089,426,489,600,965,551,555,532,079,864,337,992,601,
579,113,625,826,386,008,098,408,150,409,683,039,263,031,279,212,740,425,611,
352,312,651,640,083,826,015,216,767,033,063,005,424,676,586,112,341,485,088,
486,378,620,595,172,577,863,557,124,719,856,007,776,785,794,728,312,033,845,
825,957,861,114,819,449,816,132,373,078,027,032,693,823,707,362,790,465,533,
531,615,125,998,504,852,042,630,984,734,940,307,855,615,398,478,021,644,240,
964,750,584,687,390,644,893,971,556,349,925,107,028,159,038,479,961,102,262,
031,279,575,716,873,038,059,827,423,874,866,339,319,731,306,806,929,434,739,
525,909,514,076,090,310,516,324,354,949,039,096,892,979,649,814,051,911,804,
567,294,975,437,882,194,897,161,320,079,972,885,697,635,827,314,981,334,829,
743,190,732,313,637,562,936,515,519,890,302,994,669,483,247,472,886,838,980,
539,622,829,347,613,555,729,850,420,635,953,910,009,482,390,511,405,683,364,
440,911,644,891,871,773,556,342,536,638,566,306,143,922,901,023,036,500,699,
589,423,621,241,164,974,215,468,477,387,332,066,482,478,680,018,246,580,208,
400,476,015,326,783,950,498,466,718,339,325,500,104,285,097,291,904,411,156,
830,822,118,169,238,206,569,310,280,321,633,093,484,881,870,095,078,485,099,
138,725,865,005,496,532,515,149,720,934,387,622,254,119,615,931,225,016,947,
082,210,373,969,338,805,379,519,289,978,600,837,228,874,621,270,588,977,897,
829,121,659,741,336,630,505,755,781,718,938,918,451,633,607,431,427,480,439,
790,861,413,235,433,718,920,765,759,921,264,261,713,593,414,698,998,151,653,
485,518,304,622,707,217,547,229,268,775,680,248,379,011,359,261,416,915,350,
934,047,427,015,506,942,187,618,816,231,312,985,346,474,066,632,335,545,533,
330,656,179,907,097,319,351,816,345,497,541,041,359,119,861,859,250,175,471,
405,957,497,267,074,788,246,680,317,049,802,720,160,569,819,200,797,242,950,
191,067,512,817,486,954,482,317,204,255,376,724,081,492,498,774,074,487,050,
115,075,934,735,259,811,143,727,434,286,602,852,444,285,610,580,528,950,247,
663,703,634,586,510,264,430,026,689,108,410,534,726,927,113,628,773,826,234,
058,906,611,544,579,579,047,830,017,966,627,424,641,497,310,227,867,023,494,
173,622,484,501,131,501,361,733,732,572,210,177,586,728,139,612,805,601,283,
597,341,301,688,094,208,504,234,952,317,215,603,813,307,325,050,136,573,789,
443,597,191,992,609,367,012,947,285,429,943,364,535,885,937,453,233,180,351,
014,572,723,745,541,257,467,297,607,375,554,492,868,645,283,227,789,247,666,
623,055,792,417,387,506,731,657,543,308,474,397,999,908,065,886,666,573,099,
218,516,401,272,678,377,843,840,129,114,323,980,966,494,657,059,447,259,738,
141,232,853,439,473,565,703,139,862,980,905,221,629,609,758,378,644,006,709,
378,211,861,171,941,353,047,332,715,958,119,148,222,395,885,124,722,731,308,
057,606,026,642,109,732,633,585,684,411,155,289,488,548,237,333,457,272,935,
324,089,461,025,955,912,597,901,824,030,700,742,982,252,185,394,874,519,258,
695,464,224,543,783,652,991,099,785,710,578,523,856,453,323,404,999,586,150,
026,806,535,667,764,614,645,547,573,100,763,823,850,450,919,811,347,662,318,
351,426,298,161,474,380,642,221,600,750,618,941,460,913,026,059,610,136,570,
717,194,097,362,544,794,541,408,062,592,690,998,002,649,292,465,089,792,679,
222,907,446,276,186,078,796,246,289,871,240,816,079,372,797,317,381,546,758,
490,763,128,415,585,435,840,128,012,782,225,809,789,547,426,619,032,518,318,
220,093,543,975,581,682,538,473,671,810,168,792,026,117,145,805,704,530,181,
570,107,244,905,116,391,959,629,093,870,429,847,803,793,957,707,176,945,568,
386,366,114,223,776,856,897,967,913,310,852,391,854,008,162,906,421,699,430,
295,457,099,416,173,700,218,934,309,431,780,357,400,970,329,102,369,359,210,
833,680,868,951,082,008,728,488,403,555,416,284,129,376,676,729,155,975,354,
922,880,371,178,678,782,002,220,836,197,170,656,676,180,313,599,643,312,574,
888,648,874,461,863,736,876,396,833,628,560,374,143,479,744,084,603,717,596,
736,392,879,688,099,779,889,708,394,380,444,482,777,949,273,263,215,936,490,
193,362,393,289,720,507,415,243,939,760,310,473,225,873,650,932,345,506,955,
112,554,296,429,381,759,787,839,663,565,191,666,978,278,331,783,562,070,246,
603,479,382,435,441,022,468,322,584,311,162,089,084,676,758,155,723,311,608,
172,711,847,762,162,877,739,521,920,251,179,004,467,346,900,997,870,726,991,
214,519,598,447,031,188,834,606,850,216,803,675,693,601,128,443,945,713,796,
575,323,256,281,866,218,267,709,962,133,972,387,227,702,207,804,880,530,759,
820,687,161,257,481,399,459,164,020,818,285,791,790,153,458,831,960,660,860,
070,126,652,015,815,782,660,591,357,220,753,756,049,440,608,763,556,448,410,
592,436,599,195,192,351,243,640,819,339,181,530,838,744,402,030,066,082,202,
987,735,171,397,013,285,328,226,250,014,091,322,741,877,989,432,571,691,635,
429,845,194,452,501,697,284,660,756,385,114,238,890,369,051,629,370,563,827,
234,444,839,815,349,894,613,118,773,027,807,868,229,549,429,741,068,643,844,
420,750,092,240,784,635,149,633,315,703,292,696,200,199,276,046,522,358,559,
339,192,910,693,013,773,528,224,947,292,632,010,019,906,429,768,825,917,920,
931,419,649,810,341,839,394,117,858,878,258,584,851,929,739,498,165,662,480,
221,206,531,812,783,217,703,817,025,656,576,153,373,408,482,639,032,631,399,
209,775,982,821,544,021,538,763,497,366,208,374,367,384,595,595,664,268,907,
182,404,982,711,029,611,960,659,796,367,523,584,576,699,427,796,734,336,793,
684,369,989,995,268,594,563,360,989,444,560,488,070,188,141,230,624,810,892,
988,614,397,101,677,370,395,447,328,124,398,670,427,544,957,878,905,201,565,
868,164,309,523,402,052,477,807,995,029,478,643,133,452,051,216,814,831,634,
341,338,192,166,021,947,485,005,179,856,112,896,584,648,466,378,785,757,740,
811,172,252,351,446,665,492,775,214,640,994,363,126,557,725,106,794,894,854,
759,492,431,753,689,698,917,180,891,691,618,382,733,220,309,915,007,021,329,
112,539,667,402,373,594,322,331,722,538,660,472,408,819,819,475,321,389,659,
875,048,328,349,520,154,712,216,014,648,632,220,729,142,522,308,618,110,766,
351,684,523,702,174,418,614,005,523,238,136,029,912,414,312,875,771,027,649,
412,377,657,873,408,627,081,395,797,035,999,590,969,131,887,260,179,863,539,
892,403,277,982,180,113,539,630,306,666,698,919,786,664,017,057,197,135,211,
788,316,195,822,642,355,288,982,470,570,218,418,874,112,524,876,989,279,577,
481,684,705,896,086,725,053,208,091,175,635,516,675,199,647,425,502,037,894,
754,108,048,433,132,615,414,590,615,850,963,119,323,940,645,158,712,667,037,
436,978,143,704,825,911,589,932,291,904,430,149,764,043,134,761,343,893,432,
820,937,914,461,829,477,090,621,288,765,599,837,423,021,386,660,402,756,086,
028,217,008,268,258,273,920,748,642,541,738,213,543,742,855,970,719,294,707,
873,801,511,368,873,133,123,048,332,140,395,131,207,066,733,449,810,650,752,
036,134,540,685,481,407,890,943,907,853,287,499,301,250,416,229,961,189,595,
149,468,862,338,100,591,138,966,553,970,267,674,147,335,589,232,062,546,329,
561,057,704,244,079,869,148,472,250,452,566,100,204,516,353,928,751,374,722,
644,266,936,397,778,040,248,275,691,119,586,237,021,521,043,089,756,632,244,
194,047,659,103,397,492,813,285,835,662,951,926,942,842,408,018,476,775,117,
218,780,746,805,102,790,325,516,425,180,365,036,178,302,916,916,089,918,296,
733,371,115,079,663,648,376,570,597,226,793,637,227,728,601,636,158,492,119,
430,323,935,478,134,459,286,090,821,398,102,252,610,101,954,549,065,083,325,
669,259,808,425,382,990,785,119,562,363,402,743,742,458,622,688,084,319,989,
007,576,931,835,068,270,119,903,805,296,852,633,382,460,766,586,060,405,664,
808,667,620,464,568,692,007,270,201,451,201,564,928,249,429,239,883,063,192,
970,601,621,903,868,920,199,822,562,529,921,165,389,558,818,248,921,203,691,
621,618,543,640,746,969,515,296,977,672,747,371,632,901,477,065,849,369,396,
264,869,132,715,760,336,254,570,122,345,108,629,382,660,226,276,504,117,724,
130,819,662,272,843,610,594,208,154,862,000,745,104,518,705,517,410,278,349,
325,830,326,610,587,556,560,251,394,497,337,942,093,852,317,550,299,998,766,
319,349,935,333,560,122,268,505,686,624,671,467,247,643,906,567,516,174,692,
513,065,470,943,265,602,938,156,898,507,618,088,472,144,398,696,092,687,400,
708,960,870,316,590,208,296,101,343,790,611,806,218,554,784,784,120,583,920,
699,307,898,935,812,442,723,821,250,370,369,791,965,688,567,427,442,904,888,
126,788,224,506,163,968,370,081,839,975,868,076,777,957,390,727,764,994,824,
141,673,948,223,514,992,878,162,101,540,207,325,291,562,589,625,147,203,692,
361,865,394,320,084,892,436,715,058,982,750,480,850,821,381,175,227,710,039,
964,398,552,556,311,867,567,265,808,680,036,735,547,788,312,701,782,033,279,
376,572,154,093,824,923,972,424,267,861,306,110,007,492,847,402,963,421,525,
227,777,460,920,015,326,216,153,336,320,342,267,286,033,196,499,271,899,695,
298,411,590,506,916,787,542,549,242,088,443,884,872,733,848,816,301,209,953,
140,171,591,895,319,203,811,806,793,624,544,953,667,345,486,806,323,436,222,
321,891,225,840,953,766,696,548,866,949,566,544,244,394,022,302,639,367,807,
263,895,053,165,778,725,019,711,608,174,518,825,296,475,027,146,625,802,424,
608,325,069,854,116,981,767,282,126,468,241,284,161,513,574,527,943,014,304,
370,309,583,205,118,549,782,561,828,703,876,149,282,548,127,393,267,242,609,
661,701,594,280,135,680,902,548,075,244,656,601,910,887,064,456,640,247,569,
949,145,974,642,630,012,815,660,466,005,383,326,722,304,370,237,333,295,121,
871,165,888,774,084,112,784,912,306,020,828,438,296,852,776,362,941,460,868,
872,088,342,679,935,782,647,236,792,096,284,591,160,934,947,210,479,245,197,
830,946,775,803,901,537,669,694,874,024,352,471,392,350,083,551,257,829,363,
359,400,417,735,170,098,380,349,485,734,932,620,857,534,302,763,183,238,613,
662,698,524,991,972,806,855,484,204,446,387,390,598,915,236,224,549,762,845,
442,008,580,430,387,829,903,227,007,174,545,625,208,411,182,409,794,373,927,
487,283,511,664,601,590,415,309,340,645,519,712,567,677,821,936,917,322,788,
730,538,546,898,678,714,105,513,428,975,312,925,708,865,396,704,227,733,203,
608,429,530,760,516,927,456,112,701,964,566,762,891,941,057,802,921,489,572,
841,428,607,757,427,990,213,174,429,828,102,418,260,042,011,658,181,360,850,
598,775,616,832,776,753,039,053,136,375,235,610,789,333,987,704,321,954,856,
326,832,522,034,179,097,324,015,895,081,970,480,777,844,565,251,407,410,978,
703,441,289,016,663,631,624,668,980,201,469,045,533,928,845,238,107,650,226,
849,010,675,951,324,955,917,674,430,974,718,709,368,471,372,116,893,277,653,
338,388,159,794,634,165,805,463,757,128,695,297,999,982,798,865,641,152,446,
896,453,784,923,815,694,565,652,823,544,572,516,954,462,184,667,001,856,809,
943,188,370,229,754,486,590,361,611,949,548,295,398,773,291,065,870,833,143,
506,262,942,318,510,856,018,145,952,519,220,934,504,769,550,553,286,593,521,
269,536,497,606,102,125,034,213,794,415,685,082,726,658,296,586,234,951,918,
411,091,475,620,312,004,694,384,094,460,425,401,981,460,627,071,949,076,226,
543,251,764,844,906,621,838,168,020,434,059,371,507,788,889,309,365,526,560,
615,427,093,794,140,664,968,091,632,867,829,404,346,273,111,316,068,850,107,
424,329,713,443,209,475,255,526,286,559,552,488,785,426,243,108,400,746,946,
501,425,076,475,929,919,153,720,342,242,162,630,753,670,500,450,759,274,724,
755,360,688,793,186,216,859,235,097,590,250,090,739,903,675,292,641,207,522,
342,003,358,534,138,553,961,320,071,499,533,193,180,249,382,902,409,438,115,
216,384,781,677,704,910,246,833,470,525,632,696,925,720,868,500,456,830,138,
176,138,850,475,100,469,854,517,030,221,594,489,555,226,581,368,115,470,212,
492,590,412,009,568,916,592,733,011,410,313,603,287,166,480,049,588,066,460,
334,595,582,329,815,157,017,202,297,916,806,230,048,591,239,122,002,828,119,
869,123,961,096,982,597,764,537,386,608,242,580,861,614,221,876,294,876,694,
833,767,260,489,632,267,599,952,625,935,023,793,278,049,001,093,847,410,144,
200,788,947,181,794,588,264,161,656,540,803,460,356,241,686,893,382,235,885,
360,480,540,958,359,187,655,746,562,487,578,948,425,415,342,126,858,609,000,
066,397,092,518,171,365,804,679,448,943,623,173,593,210,868,729,511,588,541,
385,922,942,114,131,887,538,267,787,880,089,448,809,469,168,194,124,646,660,
508,698,599,857,759,907,997,368,273,833,956,226,014,677,166,169,473,307,338,
607,341,908,178,271,121,147,044,338,422,010,896,033,063,760,930,738,609,846,
081,842,151,277,787,218,711,017,294,845,718,763,705,691,887,884,361,700,675,
175,515,284,126,565,140,634,833,707,362,082,112,735,224,256,823,892,753,572,
714,502,236,582,471,500,827,472,153,219,184,737,765,452,111,360,735,248,960,
392,444,184,195,780,333,000,305,583,455,344,759,599,986,750,904,309,646,134,
410,840,131,585,182,299,702,354,974,001,367,070,219,186,253,837,886,305,883,
598,835,588,069,657,093,941,268,480,442,045,153,593,918,692,626,281,372,347,
229,447,260,922,687,727,042,869,719,350,086,002,256,013,331,011,530,554,439,
238,029,855,266,969,041,976,025,479,161,441,342,602,941,843,177,261,184,659,
884,298,372,698,038,618,832,814,823,153,712,221,877,820,963,416,081,315,424,
254,594,422,455,004,592,529,365,300,798,218,198,801,485,345,070,158,373,305,
011,793,964,010,461,588,819,664,267,673,049,640,988,019,379,833,966,897,648,
390,863,158,381,237,733,517,927,482,937,684,966,779,736,990,614,332,990,102,
096,333,017,986,926,294,335,057,762,671,682,807,595,129,157,440,693,425,077,
294,527,147,097,748,242,987,783,734,090,864,570,255,729,099,963,411,943,102,
551,573,046,865,007,056,630,445,266,828,779,325,966,269,558,007,692,511,375,
126,157,160,119,413,717,399,995,514,777,241,852,591,530,799,625,605,961,142,
281,283,213,171,891,081,101,576,044,255,966,232,087,076,022,108,449,627,760,
900,262,576,467,387,415,391,600,769,500,056,483,373,176,347,796,278,801,450,
496,907,587,982,823,576,893,887,011,424,584,849,685,835,114,071,409,057,684,
079,681,360,377,579,536,601,393,996,072,244,009,892,913,765,312,091,182,709,
409,059,468,637,645,878,962,105,738,671,190,907,523,368,158,435,796,228,275,
297,587,199,829,904,519,743,296,209,314,863,538,774,324,828,412,433,189,281,
766,798,049,415,389,159,527,433,659,589,695,868,698,990,017,195,914,394,504,
242,707,378,594,346,842,028,372,243,762,118,097,266,348,427,672,204,283,208,
115,983,416,451,934,680,667,374,011,840,811,978,895,907,968,903,642,757,438,
893,421,747,914,621,427,881,205,192,901,231,438,545,580,909,408,062,725,954,
760,782,533,699,898,098,280,060,825,481,638,851,669,363,744,158,689,206,021,
242,921,274,335,935,458,949,563,140,231,797,891,693,502,104,116,247,635,771,
037,973,347,140,948,587,289,347,401,252,318,098,712,735,488,150,894,497,449,
168,543,149,275,326,626,918,853,002,700,221,484,459,883,124,996,727,448,541,
358,367,047,341,141,203,146,567,981,695,375,416,781,251,247,602,354,575,350,
738,559,349,976,758,522,009,936,052,272,133,328,105,665,088,602,269,941,625,
227,982,176,007,401,391,993,455,312,240,353,346,249,277,936,026,855,280,577,
846,922,866,132,786,506,670,070,694,165,079,546,179,025,894,069,138,712,272,
486,515,762,919,167,582,089,039,332,434,012,249,307,421,123,089,929,375,632,
108,799,088,778,346,163,549,877,766,567,385,476,804,199,282,926,316,520,335,
084,376,254,763,702,919,210,246,421,410,574,417,466,226,942,564,143,286,021,
793,736,994,595,199,700,084,436,331,380,340,599,880,555,152,780,710,925,993,
412,462,156,354,733,764,927,159,340,770,380,238,248,517,759,494,120,913,041,
542,717,648,596,303,076,056,587,605,443,636,556,115,150,052,024,708,322,775,
415,638,357,909,571,489,779,129,437,591,541,414,848,169,626,405,560,995,424,
154,684,559,456,660,307,023,895,576,597,772,201,380,803,716,213,334,959,880,
886,405,176,550,741,113,815,565,930,815,919,879,040,220,090,071,509,434,871,
382,036,624,723,861,702,429,181,771,116,464,189,664,891,908,448,969,265,092,
944,254,088,921,728,756,570,415,241,672,890,842,808,630,669,928,429,727,993,
929,869,758,537,244,871,865,545,708,997,012,956,611,047,361,024,605,040,449,
057,179,905,033,123,375,830,759,140,191,018,439,620,589,911,284,299,580,229,
746,986,598,273,503,954,714,672,799,348,600,546,070,645,313,337,472,050,524,
678,652,470,498,100,020,976,238,709,950,008,450,179,498,984,414,494,423,568,
200,491,725,682,045,527,331,674,468,586,677,679,162,268,273,523,417,988,252,
639,772,698,632,835,501,352,254,664,262,543,136,718,021,223,439,171,716,313,
583,387,603,517,556,429,233,129,786,956,872,619,750,619,566,093,300,768,134,
248,175,657,072,134,120,775,589,754,120,820,974,671,401,452,847,382,642,006,
150,358,189,247,571,059,252,018,753,615,849,003,363,635,717,318,070,394,780,
274,694,413,801,874,378,719,478,853,773,829,102,116,017,470,459,713,253,543,
502,874,671,528,923,450,001,971,311,117,579,411,382,626,765,426,832,534,494,
686,162,804,895,463,793,176,233,033,376,572,054,876,978,579,578,219,841,701,
073,965,587,887,557,697,331,768,285,358,879,511,910,335,638,078,567,110,500,
676,735,195,853,331,194,130,429,066,919,037,545,393,489,261,574,324,526,143,
846,125,488,876,675,798,906,800,182,265,719,005,667,341,545,348,765,145,027,
823,455,460,855,790,981,277,856,284,606,465,747,735,008,623,890,610,226,098,
352,960,167,596,521,598,383,252,138,270,270,678,026,226,789,958,990,428,504,
062,475,402,405,195,099,187,266,862,058,438,267,052,099,917,133,895,462,656,
868,262,765,379,046,334,619,290,041,127,924,350,575,291,167,993,774,316,633,
944,804,372,095,842,865,110,866,159,240,318,927,207,338,986,843,206,517,253,
234,658,686,994,462,637,779,233,296,038,279,057,744,236,490,012,549,508,911,
003,665,933,132,361,355,776,662,855,642,309,451,115,107,452,260,880,955,636,
386,879,467,643,231,373,115,357,378,953,830,599,377,664,709,486,111,523,635,
877,629,592,811,197,020,692,211,847,668,756,572,637,618,918,238,758,658,247,
292,461,623,839,091,969,392,794,189,196,522,589,171,104,344,392,136,025,364,
431,888,945,353,855,138,977,363,759,140,240,046,379,853,358,662,688,838,845,
668,953,941,039,830,385,542,496,047,066,971,312,440,455,321,584,172,164,876,
064,542,238,588,761,600,596,425,700,967,523,764,239,335,936,959,459,879,163,
657,469,398,734,757,810,186,039,692,040,482,338,144,469,523,757,878,695,898,
917,361,696,392,301,228,828,259,965,642,920,602,048,639,773,525,310,386,341,
925,576,224,425,398,264,532,918,843,729,032,982,405,560,326,695,449,257,319,
088,442,484,638,012,336,911,135,318,872,075,764,184,292,622,497,950,354,630,
365,754,647,225,640,328,690,795,023,799,811,916,000,284,220,884,736,650,222,
031,613,030,904,461,210,502,854,737,888,656,403,147,753,457,913,235,597,931,
940,930,512,120,742,178,209,252,761,133,387,678,641,869,253,081,524,758,379,
305,882,267,016,197,205,855,084,491,292,339,269,052,154,331,721,721,869,055,
338,474,212,126,050,589,264,594,872,067,380,843,789,865,999,995,224,142,833,
464,772,631,057,734,164,612,557,078,635,596,835,347,440,787,393,507,832,274,
590,658,697,072,938,205,838,497,037,720,860,913,924,571,619,184,872,618,199,
768,532,591,342,486,556,362,586,232,871,552,193,044,663,451,802,072,676,944,
907,203,907,410,541,428,623,755,448,192,840,379,636,509,891,772,410,685,112,
306,535,738,606,645,765,952,479,284,811,288,584,204,701,815,420,287,898,668,
305,848,529,928,735,961,664,896,070,628,599,913,076,283,644,063,567,603,491,
561,581,142,869,728,689,969,327,969,273,736,931,651,362,802,382,520,685,483,
015,577,635,981,424,741,153,044,812,354,300,921,194,038,899,962,612,401,162,
840,845,965,577,122,484,694,137,553,295,153,017,780,079,801,192,415,836,583,
721,372,940,232,938,776,909,663,807,988,708,348,349,207,028,538,868,783,804,
046,675,598,929,868,334,720,753,803,747,417,964,262,911,139,827,646,307,589,
611,683,496,951,410,098,789,240,300,551,040,768,410,368,294,097,390,127,717,
569,309,312,264,128,861,915,240,780,780,686,793,977,177,568,915,691,471,039,
291,528,226,335,123,142,472,167,415,913,115,132,829,235,463,085,733,919,330,
411,488,133,203,438,919,850,473,140,959,988,028,952,506,454,928,148,805,721,
798,403,054,513,430,167,885,300,842,741,176,606,538,372,703,288,803,727,222,
191,199,327,503,075,210,472,846,386,655,801,075,600,859,882,178,713,564,881,
443,935,670,039,308,123,361,465,342,449,379,023,704,818,241,519,284,559,094,
514,558,970,898,057,268,692,263,349,164,333,589,173,716,370,332,805,123,117,
237,393,878,479,629,017,122,594,462,102,749,454,718,966,253,742,569,284,537,
498,009,034,348,938,018,340,050,878,371,639,461,819,147,112,448,478,787,411,
329,375,979,497,286,352,694,667,990,052,028,101,716,150,064,668,783,623,611,
452,072,752,267,821,142,476,925,057,789,024,025,723,878,165,495,214,424,139,
129,658,773,030,001,504,508,644,903,159,343,190,642,893,754,277,697,785,171,
264,791,956,273,627,673,262,012,730,488,761,872,080,668,883,003,599,275,832,
751,085,629,078,679,421,039,476,192,310,072,615,154,334,810,582,879,689,693,
443,156,740,319,748,557,101,908,063,772,959,965,855,008,403,122,041,233,066,
316,770,016,726,525,786,878,314,973,070,996,595,628,888,684,287,112,887,797,
341,203,055,694,071,941,581,788,009,697,252,521,466,905,753,656,536,446,619,
848,836,045,958,915,685,767,952,355,683,429,526,045,807,914,620,867,975,100,
487,397,780,286,717,299,899,720,717,353,884,942,756,848,561,722,026,245,854,
575,573,295,502,876,452,045,388,170,757,708,997,904,676,753,495,530,673,630,
446,704,040,648,453,745,487,042,215,910,813,975,869,129,214,550,454,017,675,
716,938,049,768,138,756,726,737,818,780,977,535,775,966,242,083,176,984,684,
429,729,590,101,239,088,168,462,546,030,879,588,410,094,260,118,703,599,200,
564,940,580,079,496,959,318,730,104,476,275,238,647,570,385,226,257,609,370,
509,651,729,714,951,234,093,458,196,890,262,034,928,620,824,230,082,136,622,
281,649,071,601,824,642,323,511,723,924,367,998,269,756,883,020,592,784,140,
141,186,375,634,508,910,482,636,659,963,558,363,891,006,904,640,004,254,813,
404,379,042,007,156,001,714,445,761,629,892,551,189,896,829,156,885,753,023,
225,103,119,284,880,155,189,927,880,580,471,773,116,022,880,239,294,320,906,
707,427,984,532,063,233,407,675,063,845,100,381,064,962,571,786,056,679,650,
454,022,013,541,617,040,274,315,960,729,288,792,740,869,798,242,087,018,484,
695,387,572,676,450,428,520,646,359,840,870,257,215,644,839,031,866,128,919,
858,702,785,071,792,348,653,639,472,263,248,419,771,426,990,358,444,966,736,
940,477,686,017,298,432,624,747,491,669,853,290,687,502,702,843,228,609,005,
781,216,655,707,109,646,934,734,592,203,895,705,636,858,014,680,166,026,330,
246,514,565,971,621,735,292,477,231,156,856,535,663,530,328,493,197,673,629,
499,613,692,401,281,519,635,311,956,054,095,677,674,412,245,654,315,402,932,
685,821,715,708,411,310,635,796,496,607,666,317,877,375,320,225,461,881,682,
371,548,828,304,739,423,780,497,809,898,656,342,562,449,287,767,021,675,970,
968,361,809,814,358,314,853,961,375,123,720,412,989,094,145,540,217,218,276,
522,244,754,729,225,398,464,856,948,980,573,360,153,172,383,355,436,745,320,
501,783,269,319,385,398,979,565,788,779,310,512,101,067,056,521,602,429,031,
171,909,849,558,782,717,292,273,711,695,929,989,400,956,561,083,241,056,955,
834,839,144,515,456,159,604,850,198,830,080,036,957,591,038,645,652,703,072,
442,820,053,657,698,643,459,487,598,546,792,812,535,308,034,405,385,305,538,
797,364,391,089,568,075,706,018,224,457,513,553,067,666,474,048,476,284,478,
093,077,341,181,952,036,729,419,509,023,990,803,333,139,757,333,850,401,120,
676,588,272,886,596,783,932,978,644,117,062,146,204,099,047,618,054,475,773,
585,266,384,133,751,224,263,440,139,309,169,877,869,551,652,730,541,065,330,
437,742,088,550,333,771,720,891,262,361,125,483,189,434,289,103,476,827,866,
046,250,862,398,941,808,187,593,008,301,589,084,043,760,304,122,834,573,079,
380,011,777,294,022,359,887,058,367,365,686,031,605,227,630,678,221,062,767,
104,870,183,650,075,940,861,114,122,177,575,897,105,171,149,885,615,350,794,
556,891,189,841,249,813,414,668,466,146,540,685,556,796,078,787,475,057,942,
437,050,018,735,456,230,880,000,279,391,808,323,563,630,267,640,432,989,469,
149,331,069,950,078,785,889,153,814,935,825,283,859,036,001,316,989,724,142,
783,371,966,538,553,622,082,419,265,034,532,714,485,789,228,437,819,417,208,
937,733,694,440,782,685,246,485,668,976,618,572,535,461,616,665,953,390,277,
220,679,297,121,466,592,388,322,042,466,196,345,380,369,961,520,884,371,463,
418,637,361,586,350,920,510,408,818,818,905,901,279,118,627,530,995,457,883,
843,698,118,946,633,210,026,417,913,530,316,959,528,373,290,138,172,587,182,
483,050,933,138,374,622,250,350,384,395,273,380,603,350,444,841,757,382,036,
859,643,350,543,192,987,224,698,560,572,325,178,321,627,426,123,607,278,538,
093,547,595,639,632,884,219,716,960,954,293,375,138,958,617,924,646,005,226,
799,535,617,556,175,482,869,691,587,293,882,441,789,861,008,029,618,780,786,
412,724,435,862,647,760,078,420,017,023,017,862,834,963,371,450,071,382,641,
077,559,672,484,116,009,261,266,711,756,631,328,088,212,988,919,829,621,148,
879,010,350,260,893,895,098,216,483,433,547,308,513,471,252,329,751,098,188,
525,104,289,824,104,285,152,913,734,418,990,561,402,362,711,475,665,793,234,
059,626,676,590,463,686,018,693,655,222,219,673,609,347,839,867,195,437,700,
997,747,103,507,028,465,236,340,387,327,297,326,817,072,251,326,667,181,728,
092,498,708,220,962,271,165,856,685,256,602,819,239,829,139,082,074,064,479,
890,854,580,363,446,488,833,454,312,452,624,739,684,398,472,112,109,795,389,
781,195,054,462,141,565,024,965,282,961,291,582,123,816,960,966,254,595,573,
177,517,431,052,303,212,905,721,342,647,412,257,150,787,090,534,149,357,042,
414,447,705,305,800,701,949,922,828,797,902,603,789,880,937,713,686,844,356,
989,051,382,576,186,702,485,520,976,084,978,913,961,913,837,458,135,138,564,
542,957,259,983,835,749,343,088,887,581,110,265,893,405,235,836,442,662,007,
286,849,204,031,543,234,202,374,584,702,581,153,254,969,316,549,248,873,616,
085,833,838,209,819,805,223,703,196,784,770,463,522,995,705,178,563,526,906,
811,482,214,375,944,127,591,666,779,238,961,350,110,700,749,535,908,902,378,
176,700,598,667,360,000,155,087,904,978,316,614,643,856,779,182,778,640,904,
147,164,454,124,489,251,088,770,988,423,959,091,750,617,319,379,701,529,484,
114,768,315,554,341,297,626,757,112,624,000,550,238,684,886,447,739,063,402,
319,278,175,281,598,591,125,069,894,367,446,312,610,199,285,879,126,068,278,
149,767,935,054,136,531,596,438,641,213,490,645,992,727,790,224,025,632,283,
854,581,353,389,145,037,972,768,144,509,400,105,562,066,411,189,968,724,962,
142,100,069,390,104,094,569,708,539,222,915,295,651,094,643,954,470,900,929,
781,462,910,283,021,315,717,808,328,868,947,608,546,107,392,255,088,787,937,
943,963,463,862,132,096,802,419,250,788,621,949,005,654,526,512,207,717,939,
402,877,909,969,301,639,304,034,757,367,130,831,467,610,251,076,204,322,081,
967,650,807,800,888,445,983,990,698,125,149,452,359,401,927,596,354,681,997,
382,102,334,746,378,345,939,750,817,256,979,965,619,297,437,484,838,941,448,
562,693,487,719,897,197,335,312,651,097,747,861,722,955,348,420,865,801,584,
716,922,894,179,953,396,260,125,012,079,338,340,157,443,004,034,424,446,070,
365,645,306,880,706,275,773,797,521,200,561,061,094,620,349,593,121,820,313,
966,790,058,826,579,317,513,497,838,210,264,149,259,646,392,961,105,020,157,
196,977,034,434,484,215,558,855,362,399,360,487,525,420,998,374,802,456,288,
619,034,695,408,648,470,796,594,934,375,361,679,277,692,396,391,913,959,857,
361,988,896,167,564,953,019,645,350,088,837,995,247,476,702,442,140,563,776,
364,613,622,631,900,439,803,692,459,823,361,519,252,257,457,215,053,792,099,
959,900,642,113,776,452,336,559,346,051,881,607,942,182,917,158,115,087,278,
297,087,838,874,010,227,730,762,810,790,533,458,395,230,104,537,592,715,591,
125,252,439,548,152,813,288,935,991,671,667,193,264,221,595,435,870,958,960,
592,117,050,466,759,350,068,179,145,689,919,787,388,298,173,317,881,603,662,
998,995,114,419,280,742,797,496,448,430,996,094,134,736,195,945,285,199,914,
788,751,996,744,233,710,850,091,248,650,329,416,111,041,416,535,915,746,758,
357,236,175,925,659,128,189,332,085,445,589,255,978,868,868,046,730,556,471,
599,498,092,831,874,792,605,238,121,916,703,984,061,490,983,773,104,844,225,
640,595,640,332,680,234,414,861,231,377,986,855,668,892,976,309,464,145,243,
115,603,684,077,142,994,903,127,366,881,553,006,818,496,474,085,715,124,554,
813,223,101,699,801,664,647,922,660,258,731,572,744,240,406,583,767,500,768,
656,425,531,011,595,529,143,611,902,333,333,007,799,018,907,396,403,536,557,
896,554,108,994,886,606,931,513,793,515,764,941,570,752,052,928,768,075,714,
598,644,780,468,824,655,663,174,090,022,582,012,328,155,197,447,391,571,693,
353,693,267,711,230,311,492,986,481,919,363,844,020,910,029,309,133,855,368,
126,465,720,144,000,786,952,228,705,707,570,981,545,404,038,949,004,675,382,
014,232,844,534,245,732,908,304,927,017,682,318,711,617,950,494,822,043,682,
038,810,097,423,909,246,446,527,922,794,428,590,315,504,104,198,500,380,789,
491,575,787,857,555,629,726,475,328,399,891,648,880,523,480,062,384,071,222,
226,273,075,727,114,436,238,525,350,578,203,724,392,289,024,991,726,435,780,
751,234,187,938,291,227,728,288,081,256,650,198,940,377,572,433,030,550,021,
986,726,083,786,697,944,343,046,298,218,697,444,376,538,422,847,789,732,535,
548,849,714,909,271,532,291,662,734,716,597,627,651,151,972,160,904,768,669,
109,319,537,809,066,023,972,562,584,559,421,720,871,057,134,833,381,319,730,
742,917,038,021,295,940,674,294,756,268,751,061,434,704,917,606,033,312,420,
621,244,737,216,375,918,104,139,513,976,885,834,380,269,602,973,974,721,999,
086,029,902,425,315,993,817,810,231,074,289,551,557,005,261,933,637,550,262,
663,492,925,315,989,228,160,952,548,546,562,169,744,335,374,679,054,635,453,
513,596,549,956,930,741,932,402,888,705,617,199,885,072,894,434,700,072,182,
054,755,921,989,187,119,161,225,433,413,871,079,289,521,418,897,122,908,517,
231,502,672,307,160,069,265,610,578,888,905,856,138,147,669,967,328,507,901,
034,776,957,678,144,645,204,560,571,656,956,300,275,101,424,115,530,978,281,
859,379,245,443,421,873,499,402,359,465,008,845,661,961,032,193,418,139,884,
615,292,202,700,309,072,180,733,180,334,479,749,255,566,147,446,669,798,388,
337,748,960,248,344,376,523,768,187,475,980,463,846,875,318,798,362,266,996,
467,108,759,475,425,736,471,228,372,954,984,851,447,490,951,841,545,842,094,
838,378,689,055,052,090,510,539,945,264,444,616,922,417,807,156,791,998,645,
102,353,953,330,746,782,884,916,465,415,235,470,553,412,323,936,591,606,344,
315,606,182,942,421,800,444,189,037,621,412,191,777,800,947,732,893,612,727,
123,173,190,704,126,974,040,347,860,951,577,517,660,649,570,278,524,176,765,
793,213,803,070,396,085,433,156,426,031,842,022,814,570,372,074,529,910,615,
085,360,277,821,886,768,119,100,491,377,328,076,445,391,570,796,046,740,265,
364,619,731,752,918,002,800,876,210,766,730,600,355,870,145,679,306,553,443,
768,624,879,746,743,651,265,585,048,572,444,246,573,763,771,148,346,201,185,
846,510,940,087,715,101,188,845,679,654,596,283,643,798,974,328,548,958,687,
575,309,983,048,281,438,621,408,984,753,975,878,274,045,369,434,957,015,962,
520,775,838,056,618,918,230,135,643,991,527,745,453,216,341,044,610,154,783,
921,626,680,741,297,853,881,633,948,772,498,447,732,841,041,623,062,649,142,
801,228,648,630,011,718,641,174,669,435,560,176,037,659,163,209,512,453,381,
490,382,823,355,989,456,442,492,539,088,031,363,245,982,953,925,157,978,234,
707,664,742,527,325,120,614,680,266,678,126,642,078,230,544,997,084,581,126,
284,982,861,602,243,465,584,849,732,501,302,815,965,250,284,411,344,032,376,
028,380,999,002,460,811,781,156,235,550,408,203,320,380,019,056,313,074,161,
599,079,862,743,579,793,573,294,599,794,818,902,252,342,518,666,719,134,150,
568,642,705,220,206,612,733,712,977,595,248,020,392,965,813,342,425,185,167,
245,544,679,368,820,005,569,107,629,211,774,011,673,618,066,705,748,521,781,
781,191,281,200,345,287,079,366,543,958,368,990,229,656,171,347,584,682,492,
490,158,519,375,242,658,431,022,513,989,057,000,482,315,604,674,476,923,281,
486,046,305,228,324,632,158,870,523,688,180,498,176,673,869,248,658,863,876,
379,385,098,086,740,012,881,501,092,104,845,195,799,390,815,491,839,562,678,
354,510,148,081,296,764,066,473,434,028,869,225,696,431,163,627,400,294,767,
344,119,205,265,036,740,616,856,155,322,326,254,721,080,116,233,405,430,576,
651,217,368,546,849,446,272,051,756,345,372,037,644,469,586,078,081,216,451,
961,039,240,567,664,923,281,035,435,864,087,744,615,614,818,498,615,153,561,
212,981,511,095,783,578,334,426,541,183,172,777,971,371,463,552,837,830,121,
674,175,859,425,760,559,196,000,560,437,224,064,078,511,958,836,125,857,882,
300,618,491,658,464,582,651,525,067,230,383,371,427,427,999,965,860,868,464,
600,160,089,415,135,481,803,690,151,223,316,374,960,926,072,727,498,859,451,
967,531,984,685,384,962,124,160,721,529,202,827,018,392,985,142,408,161,710,
360,912,222,917,968,780,248,287,713,129,827,348,828,094,838,713,240,162,652,
695,990,907,185,483,975,835,859,191,119,633,585,459,720,191,572,827,634,432,
821,753,253,441,814,925,323,326,404,325,400,150,549,827,941,107,464,392,259,
257,944,239,405,908,629,039,645,601,956,642,466,647,604,534,201,733,538,475,
304,117,311,552,472,028,351,995,121,753,958,470,745,781,025,217,859,995,783,
268,915,198,848,228,847,025,381,124,185,153,660,638,610,455,125,343,550,176,
981,285,361,122,245,846,472,053,045,963,463,312,639,547,490,627,741,058,360,
294,660,714,016,355,211,233,746,225,526,212,810,626,413,717,931,665,730,048,
025,114,179,270,796,313,206,179,639,849,371,398,434,653,771,978,333,271,285,
223,483,643,112,921,318,062,550,909,078,597,816,092,916,055,516,417,675,490,
965,018,404,849,220,049,692,937,474,716,689,790,820,690,489,039,404,164,779,
767,273,536,428,987,668,554,929,516,219,958,814,170,817,766,628,170,807,060,
419,509,367,435,212,107,020,306,260,262,541,774,131,299,748,145,560,237,956,
470,496,834,208,139,343,456,712,461,144,721,053,645,572,711,864,734,967,635,
057,338,135,138,777,781,054,171,280,345,842,093,750,322,862,193,591,305,971,
745,429,773,644,668,730,832,381,703,016,059,155,667,832,930,757,646,640,272,
572,863,363,559,478,298,572,307,003,476,592,411,357,617,534,608,730,259,012,
135,295,826,809,062,759,499,075,308,054,455,029,957,006,427,646,404,565,461,
474,583,975,878,680,751,490,424,196,501,523,795,257,654,817,594,353,774,131,
719,819,560,950,592,744,063,717,299,836,408,509,687,927,912,035,526,380,865,
921,630,482,862,988,496,695,754,653,254,559,051,994,941,612,082,537,878,881,
316,922,990,135,106,114,546,773,117,550,450,057,904,194,524,510,435,196,968,
622,494,567,432,777,043,554,113,755,264,658,398,781,353,316,593,169,884,897,
204,054,534,203,121,790,257,366,567,489,390,155,029,624,969,998,979,522,003,
142,346,405,204,281,945,890,730,453,352,512,531,777,299,210,087,916,739,020,
858,752,903,585,797,411,345,203,875,814,063,381,490,643,453,853,026,593,910,
451,249,500,966,127,937,275,764,237,086,230,202,521,907,877,977,465,265,406,
019,267,989,410,780,972,081,121,085,564,528,708,561,421,674,181,647,747,149,
188,932,466,046,931,839,386,409,825,823,478,327,509,212,497,845,672,852,798,
550,137,451,208,570,836,415,462,755,771,679,247,684,883,303,713,602,095,197,
771,676,588,396,498,700,756,267,456,247,176,850,821,178,458,934,325,301,279,
676,024,536,935,258,747,070,744,203,027,414,631,794,383,928,162,970,815,477,
418,459,698,232,850,646,240,575,526,044,311,598,608,988,741,104,528,288,037,
641,180,450,464,283,859,957,300,200,298,934,671,707,969,114,724,042,637,923,
443,644,558,583,868,119,515,916,877,754,893,846,934,964,626,673,481,908,867,
304,570,306,145,534,020,743,805,806,077,651,993,537,816,886,850,724,441,149,
667,961,153,585,998,970,767,488,594,345,716,443,687,861,526,437,772,693,758,
698,383,783,639,464,950,090,908,994,926,634,220,953,584,192,074,064,163,534,
610,780,418,260,667,193,773,866,823,943,921,150,869,306,972,484,310,406,552,
200,839,008,919,082,780,046,746,241,804,201,720,202,007,967,874,539,095,743,
132,635,080,415,088,912,303,918,359,554,470,354,223,099,871,227,291,333,889,
839,444,199,030,858,936,850,689,856,006,562,052,571,485,366,426,424,617,652,
666,310,708,622,324,951,778,646,891,317,481,389,836,523,725,696,252,595,987,
009,221,618,922,133,596,221,286,291,583,300,359,461,382,402,089,876,635,514,
810,009,522,506,546,940,861,783,713,287,698,995,082,531,102,887,003,976,818,
600,952,486,376,372,727,816,635,301,400,534,322,180,916,354,331,852,881,776,
277,802,856,098,555,442,207,693,687,245,884,055,970,245,821,520,090,191,835,
946,718,735,767,195,259,708,843,880,835,518,848,850,135,545,300,053,147,378,
591,922,659,532,002,605,043,162,404,085,839,351,050,558,882,877,993,587,359,
509,746,368,789,029,489,801,067,152,319,174,209,950,548,344,475,884,613,936,
873,041,707,022,543,986,107,216,407,854,169,808,790,524,132,010,004,384,541,
106,647,257,266,307,739,091,092,215,170,203,213,523,633,103,632,138,183,872,
825,960,410,169,019,469,494,581,317,982,192,358,579,626,143,008,883,716,391,
528,275,281,137,601,285,550,939,479,456,117,418,978,578,192,696,571,959,384,
455,951,056,280,006,581,749,135,099,131,675,318,686,782,393,527,302,436,184,
382,160,127,841,522,399,580,086,317,418,887,508,905,970,108,218,069,325,426,
795,475,336,895,783,966,895,920,266,906,076,989,064,634,097,494,051,247,736,
487,203,357,701,243,947,543,480,834,554,982,923,898,828,201,313,384,405,018,
354,734,090,411,359,087,519,127,478,925,022,840,520,490,053,256,862,803,827,
156,368,336,318,500,663,966,033,681,817,710,879,649,862,175,008,757,651,167,
869,858,575,405,390,084,375,580,662,982,150,556,081,802,854,913,058,944,614,
118,305,330,457,001,315,461,549,516,193,777,933,011,581,925,397,125,563,694,
653,872,737,155,906,473,900,358,552,027,149,197,632,172,517,023,847,784,832,
100,830,198,072,464,242,485,111,141,200,536,985,633,196,775,242,290,537,497,
039,201,324,047,112,615,313,559,935,031,863,438,748,497,718,751,420,392,291,
639,412,428,885,452,407,447,330,406,854,668,179,019,880,663,571,143,036,589,
915,513,954,893,595,121,230,197,761,340,296,334,821,317,418,517,708,617,285,
243,908,434,621,115,414,371,019,078,757,773,022,202,086,866,928,629,260,794,
616,289,447,021,553,032,698,454,611,911,321,081,291,797,622,021,785,753,206,
560,144,870,439,846,196,656,221,807,452,316,804,629,161,196,624,732,579,400,
155,376,150,323,351,987,189,799,615,607,351,120,650,063,380,611,081,877,429,
953,570,963,406,797,561,311,297,975,686,292,908,241,157,335,156,870,086,232,
938,899,006,747,823,476,644,944,471,693,123,164,383,441,447,265,139,920,939,
357,318,668,033,595,217,847,731,041,932,881,712,089,997,427,748,171,076,174,
201,681,702,123,878,124,016,514,490,645,361,680,038,950,058,843,662,807,623,
379,251,804,079,644,655,158,479,960,209,754,410,352,711,465,218,245,454,774,
029,288,671,337,328,280,693,476,604,914,453,465,063,057,215,589,916,374,617,
258,922,640,550,934,114,797,115,774,564,107,509,549,007,647,870,237,173,786,
267,280,360,431,913,229,981,540,384,073,970,378,434,413,449,702,211,461,300,
504,487,495,781,624,377,110,889,045,333,591,735,757,325,870,718,727,172,567,
461,697,523,947,642,424,760,671,423,334,689,707,374,916,532,933,380,366,635,
251,746,153,209,358,040,484,855,211,728,713,874,622,899,580,423,496,654,842,
299,337,601,849,351,862,819,687,110,643,532,441,084,957,835,905,932,284,956,
535,028,453,616,002,972,440,159,193,203,330,177,129,938,642,063,963,743,243,
567,565,935,279,250,992,421,865,800,312,556,856,526,209,564,392,873,633,079,
213,744,410,066,442,268,438,458,937,844,476,660,960,248,360,493,119,883,867,
559,698,266,930,675,367,755,743,611,548,795,440,073,050,504,029,872,192,789,
113,878,725,978,062,532,850,364,657,201,769,010,409,493,406,800,186,980,163,
885,251,651,477,205,471,639,060,474,495,506,861,316,790,033,267,324,870,960,
938,036,894,919,147,504,856,148,727,861,516,799,201,106,718,602,698,090,229,
577,510,423,944,776,399,606,635,014,906,729,765,899,116,481,838,627,315,246,
333,171,047,771,157,960,940,249,587,814,295,461,344,881,226,702,533,222,518,
609,889,378,340,691,893,161,166,811,607,729,330,908,415,041,608,763,811,579,
036,167,832,287,491,965,456,884,092,254,463,731,587,591,188,157,487,475,265,
432,635,818,941,312,079,898,528,345,928,955,090,943,358,069,792,519,443,459,
887,925,492,929,403,670,772,679,570,348,006,934,722,932,323,097,100,521,040,
922,756,027,614,877,141,711,848,015,193,189,565,406,423,771,960,569,381,872,
828,502,651,476,920,988,893,407,258,966,980,157,196,324,045,934,859,984,386,
312,215,908,416,753,599,001,955,131,447,062,556,885,133,364,237,078,544,326,
232,743,264,417,652,810,917,919,755,962,501,448,039,472,579,648,988,703,075,
609,639,341,942,822,521,258,475,062,293,782,388,628,898,642,722,673,022,958,
498,652,094,775,443,913,199,250,531,942,371,060,751,886,254,798,758,214,512,
776,245,107,040,146,971,854,628,601,338,530,987,353,130,860,900,421,819,681,
247,919,212,304,259,647,588,976,356,148,685,467,854,687,928,061,930,601,437,
169,973,771,829,246,130,294,752,212,381,672,739,537,731,448,629,148,894,756,
041,785,371,490,034,665,435,777,181,698,367,056,886,011,590,586,925,066,876,
582,957,300,278,143,565,544,982,511,431,187,069,080,147,335,583,792,171,528,
138,428,236,732,478,569,019,574,098,025,944,613,360,214,376,832,379,797,642,
772,225,599,696,103,107,634,545,676,473,839,907,394,810,186,861,059,113,023,
470,878,964,478,588,269,541,889,712,882,861,803,945,723,041,084,973,947,172,
392,627,223,200,638,867,101,263,554,400,970,144,455,656,640,356,857,489,208,
396,311,626,062,371,239,599,115,398,938,917,911,745,312,561,634,202,105,058,
119,275,187,613,335,721,017,087,149,412,937,550,378,819,290,360,724,997,320,
496,443,139,894,020,044,616,021,725,294,374,123,674,472,523,973,828,277,456,
193,987,754,269,608,180,321,839,562,312,496,422,985,743,805,305,256,438,957,
864,332,424,618,763,138,016,378,689,129,367,434,500,158,877,139,347,540,549,
857,399,031,796,776,524,231,702,896,665,809,444,693,782,787,396,746,598,580,
061,383,966,292,992,322,570,955,357,022,432,551,002,796,957,218,818,155,899,
277,856,320,065,164,783,305,868,852,204,110,600,214,019,943,887,355,943,079,
487,993,925,602,543,145,057,500,253,368,034,612,584,004,511,775,365,704,723,
575,738,256,598,807,072,073,113,965,195,958,405,161,620,449,297,716,634,901,
829,579,245,156,358,874,276,328,615,099,081,421,113,390,245,965,690,600,992,
303,573,520,776,561,958,031,292,214,823,036,471,092,965,662,070,727,415,604,
497,365,816,566,989,078,397,106,363,638,894,619,165,086,489,562,613,122,679,
253,021,508,331,412,852,429,736,084,073,124,807,339,918,057,745,737,356,043,
767,504,849,933,747,571,972,080,126,054,619,118,578,231,879,776,460,753,837,
469,968,137,098,424,165,144,426,449,784,794,432,177,680,694,132,256,650,219,
482,318,238,192,982,321,534,463,150,109,748,004,025,030,025,680,002,856,639,
764,273,847,298,502,701,759,109,532,966,596,014,902,425,736,355,954,939,248,
796,799,246,503,068,483,832,858,908,439,300,972,051,649,426,057,041,654,889,
906,577,339,867,749,024,762,333,383,241,114,034,794,878,439,028,902,998,013,
330,573,428,529,198,100,739,438,889,890,839,522,492,844,764,811,336,620,596,
307,355,575,940,261,373,881,276,243,062,346,976,965,173,172,323,574,461,568,
042,878,228,254,322,018,610,555,246,080,566,462,992,232,891,479,726,881,067,
863,023,648,610,943,135,362,542,082,166,374,025,724,558,916,098,231,221,406,
196,060,608,284,523,031,300,493,379,217,352,967,128,849,598,382,313,139,169,
440,576,324,008,706,548,454,699,347,339,803,773,639,892,642,435,454,106,779,
296,342,643,449,583,924,070,144,324,365,464,957,183,357,238,329,507,648,482,
316,500,345,257,929,649,188,251,456,764,534,948,110,026,764,684,540,413,196,
846,884,226,445,724,770,116,947,590,763,031,942,457,137,430,720,279,775,916,
654,034,212,121,646,977,138,186,990,114,822,023,537,690,284,218,753,817,294,
143,938,657,721,480,813,094,375,999,878,120,599,444,234,609,601,848,501,209,
712,934,654,237,350,279,812,854,496,300,875,118,064,450,777,798,817,497,393,
761,854,583,090,324,410,186,386,314,326,121,715,903,450,264,529,395,967,623,
673,823,359,810,028,993,285,628,748,438,277,597,586,578,496,426,245,400,328,
559,329,856,311,871,621,409,645,492,956,981,381,662,863,001,844,592,582,810,
157,448,784,092,784,591,908,645,298,678,946,592,617,699,480,039,550,007,772,
816,163,201,243,669,371,705,220,624,022,928,149,139,348,078,615,030,467,530,
842,430,815,238,377,156,190,743,325,376,211,869,272,883,564,652,200,778,423,
511,275,000,290,004,407,904,394,310,199,259,066,198,717,879,715,519,721,819,
215,837,615,775,382,892,512,037,500,734,431,741,293,654,915,381,695,691,751,
616,193,446,861,165,773,179,090,505,065,210,193,674,122,437,696,366,145,349,
899,362,696,252,268,948,700,747,137,416,058,464,368,235,321,340,784,748,344,
826,999,496,989,817,567,806,249,048,879,436,090,724,651,645,995,564,299,705,
585,854,088,344,544,622,201,603,921,884,777,294,819,340,308,488,368,590,958,
703,852,640,914,535,898,151,747,405,843,768,897,590,585,202,233,173,289,518,
867,813,442,739,821,713,533,097,220,157,639,997,651,450,225,521,732,180,192,
054,124,568,657,920,029,331,481,736,666,363,504,084,623,720,050,857,949,981,
415,035,863,126,335,413,268,485,280,297,296,561,420,477,849,908,374,651,708,
615,228,450,869,437,237,539,812,191,396,075,255,188,422,267,340,766,391,529,
552,844,095,030,727,714,302,365,917,844,599,773,990,400,877,045,528,676,737,
333,889,710,355,934,241,312,585,914,472,282,422,394,103,623,775,486,719,246,
792,115,030,103,201,492,229,839,521,894,282,165,468,134,740,958,922,816,377,
399,246,033,021,425,379,623,075,659,819,422,005,624,675,897,478,147,003,327,
928,792,354,122,327,533,478,412,110,661,613,192,598,994,000,405,288,098,772,
048,553,730,844,974,125,369,964,164,378,470,461,833,836,573,971,498,777,976,
448,169,715,002,161,685,430,392,025,195,440,548,315,688,881,401,442,970,570,
467,501,768,745,066,426,482,110,809,526,050,588,141,728,184,852,556,754,341,
390,618,377,754,625,331,596,114,477,573,083,584,932,377,184,305,582,259,037,
993,680,833,717,662,317,739,206,899,729,804,790,494,758,047,834,284,461,701,
262,176,720,317,370,460,271,282,080,654,486,710,321,758,519,990,488,493,512,
820,236,341,777,793,327,594,761,721,476,312,462,840,066,728,258,648,084,430,
682,456,649,785,508,589,594,661,816,466,361,595,018,654,407,057,741,412,963,
229,989,870,071,726,413,980,217,884,565,667,175,032,015,611,185,322,969,975,
979,461,211,679,582,618,715,380,644,975,907,524,624,184,049,817,481,477,533,
388,625,843,704,030,174,560,985,129,012,613,214,701,820,382,752,295,566,301,
203,222,504,066,328,705,475,958,005,869,205,061,119,695,167,426,999,660,385,
571,212,045,523,852,744,651,340,887,330,020,499,290,161,948,449,231,329,134,
017,844,599,010,269,601,194,119,245,129,757,347,425,904,330,346,190,715,347,
338,590,876,484,142,586,423,468,536,390,558,523,777,181,630,829,571,040,743,
483,748,458,124,896,484,255,456,454,360,002,699,239,900,324,156,488,351,945,
888,702,113,510,673,562,964,912,144,157,823,452,300,100,009,899,939,209,539,
730,504,916,166,124,142,447,249,651,285,548,748,818,935,442,282,680,750,382,
631,321,443,823,264,953,484,415,396,731,698,136,514,858,528,954,632,158,552,
052,154,340,183,661,694,911,897,001,229,726,399,717,153,996,470,629,248,916,
946,217,123,017,278,051,342,995,873,398,082,966,087,035,311,820,026,242,705,
913,870,360,107,182,096,337,405,080,539,992,738,442,096,471,235,106,955,846,
830,757,803,786,853,624,680,681,990,582,310,494,163,997,532,701,214,414,253,
145,984,911,103,539,400,508,828,224,627,347,756,918,846,235,803,320,356,403,
782,284,823,371,517,643,129,155,497,998,192,645,828,084,652,065,573,816,563,
021,492,123,458,024,845,436,194,449,550,910,193,691,277,587,256,362,366,764,
744,704,607,658,161,407,292,861,430,422,090,947,052,692,299,773,864,878,932,
736,418,098,417,605,713,092,166,418,130,893,006,812,436,320,461,911,650,477,
197,592,607,161,472,174,565,621,299,054,637,237,809,830,750,493,903,689,798,
528,123,729,710,818,437,436,672,098,765,224,792,286,985,398,582,873,712,508,
370,912,916,788,664,511,407,191,989,935,013,972,872,592,107,114,544,560,107,
087,677,656,178,358,758,834,950,700,069,026,465,655,792,618,761,129,419,138,
793,315,563,497,943,686,407,891,358,157,864,961,791,153,087,715,109,235,694,
472,188,353,493,731,300,403,495,315,646,576,661,213,836,741,343,399,196,228,
929,002,038,702,051,925,875,387,129,914,702,162,259,932,410,843,212,093,531,
807,509,244,870,264,443,631,096,653,209,577,471,673,284,392,020,861,174,007,
087,942,842,933,746,346,889,583,788,361,838,514,170,639,781,947,607,099,175,
476,572,499,839,283,478,836,945,373,633,024,139,822,545,632,195,154,080,262,
901,677,518,729,083,325,351,337,727,834,366,225,191,445,122,152,625,917,873,
794,147,545,684,916,781,114,399,766,682,352,326,032,380,399,332,568,681,106,
118,567,264,167,329,333,532,269,626,961,344,951,426,405,081,499,652,276,721,
697,968,837,829,847,859,683,614,069,175,709,844,109,459,574,969,246,029,762,
165,373,072,969,685,298,953,533,142,290,656,359,564,892,161,331,353,154,533,
778,971,677,457,873,452,538,259,139,072,169,323,709,878,144,405,902,187,770,
589,828,779,449,480,051,342,668,147,957,122,312,495,658,679,846,983,425,896,
478,497,215,092,917,631,758,536,750,680,126,629,435,851,649,275,178,356,756,
725,483,554,279,889,887,525,648,831,478,301,268,603,449,969,687,096,466,838,
938,364,371,384,702,630,514,940,012,893,990,853,756,344,424,885,301,760,124,
565,068,197,502,129,050,136,468,099,390,925,074,362,906,538,697,384,812,916,
018,316,122,250,666,836,072,460,969,919,796,789,970,000,219,271,876,478,157,
276,907,249,288,758,950,913,732,394,257,466,233,690,774,163,464,125,596,763,
139,594,834,440,644,320,301,774,270,909,104,019,628,382,121,016,092,571,097,
311,258,356,701,795,209,021,947,325,588,164,344,068,664,453,327,721,366,906,
207,028,007,239,865,071,304,965,210,127,187,011,425,354,473,374,419,887,715,
859,439,900,938,435,317,082,520,370,674,242,132,676,912,284,363,215,264,952,
448,713,772,749,743,628,176,582,631,604,689,800,717,424,565,869,007,292,326,
380,135,433,628,911,958,879,136,582,872,918,570,832,842,027,443,339,302,417,
730,693,188,882,564,484,645,579,360,512,373,371,554,010,516,995,553,399,114,
634,893,761,407,614,016,655,370,178,528,954,873,161,358,974,138,959,603,263,
492,990,576,634,026,803,381,236,992,955,167,134,794,496,822,727,024,624,313,
490,231,995,388,115,372,691,691,267,181,217,870,890,293,674,470,222,265,419,
057,702,027,208,765,557,237,637,450,989,253,051,022,889,093,049,949,215,163,
628,952,239,685,088,514,290,448,525,201,609,371,750,655,760,977,216,716,907,
211,172,329,495,346,623,171,530,307,597,046,940,683,925,985,672,626,892,238,
148,090,610,216,883,597,400,478,813,938,449,455,900,879,818,859,128,044,694,
434,530,792,045,666,897,605,152,213,257,029,957,562,665,317,607,967,432,018,
659,091,592,324,323,147,472,255,986,748,613,106,465,900,970,906,635,074,927,
876,997,724,335,788,254,892,236,271,717,971,021,589,136,650,412,019,503,064,
527,051,335,744,194,188,713,355,409,816,945,627,788,883,863,327,065,827,168,
167,843,440,888,664,853,577,327,420,468,487,420,032,632,775,314,077,095,132,
134,761,200,400,008,721,635,858,748,736,894,525,150,995,176,906,556,376,543,
948,685,476,974,955,438,630,660,214,664,510,637,704,112,438,654,906,307,200,
015,023,409,214,384,693,786,821,847,896,575,456,145,498,501,503,618,377,758,
356,783,530,297,391,836,488,564,224,591,708,193,353,447,222,827,082,450,894,
595,812,431,225,252,440,558,790,039,600,631,598,288,534,125,474,540,922,858,
218,767,022,685,345,660,229,094,986,103,538,076,008,941,387,373,519,788,545,
514,326,329,090,367,206,115,548,467,284,047,368,456,276,830,793,641,402,533,
898,224,706,132,376,097,960,779,528,307,164,964,614,156,930,412,470,438,923,
978,322,642,023,318,634,495,617,883,641,601,989,247,946,828,604,691,713,204,
516,618,636,627,532,569,499,310,562,332,534,388,403,269,506,001,901,765,477,
321,964,594,066,980,206,410,569,082,583,199,297,323,609,270,279,119,096,745,
734,679,862,626,219,897,736,417,712,452,467,680,997,681,290,913,220,081,127,
964,392,536,999,074,202,889,440,445,317,725,189,014,466,012,282,866,751,221,
220,974,931,481,216,245,004,873,546,143,342,418,996,414,905,497,186,599,568,
536,976,122,728,326,919,756,568,254,132,165,993,648,121,474,747,082,869,689,
605,823,906,834,107,944,336,351,656,948,280,734,212,765,190,887,776,278,872,
903,859,625,276,469,054,401,926,933,324,839,235,030,812,925,605,278,522,852,
761,136,959,427,281,689,492,797,263,162,192,853,381,648,813,478,413,300,484,
472,663,215,537,669,377,284,456,638,518,401,242,596,362,869,995,604,817,183,
608,064,198,514,656,330,624,767,918,363,299,080,639,381,137,686,271,346,595,
061,052,172,674,447,023,716,202,013,741,137,107,309,641,583,868,422,587,116,
768,509,600,645,686,719,312,646,806,154,123,771,530,369,544,890,636,435,494,
729,153,607,706,398,043,325,971,123,995,730,465,511,865,180,060,346,550,518,
868,805,207,211,885,143,786,481,657,821,905,317,815,840,176,089,752,398,383,
102,115,580,835,882,449,674,733,894,841,653,526,491,979,680,154,598,017,373,
587,757,157,197,308,786,826,938,437,730,845,980,937,619,750,974,232,198,365,
753,991,384,680,793,508,044,378,216,060,612,459,144,089,945,503,892,693,506,
093,479,754,665,553,161,407,695,117,714,181,854,889,497,038,298,434,910,369,
420,773,064,535,633,653,503,995,903,054,543,314,209,434,268,702,631,772,051,
696,275,804,228,123,810,192,052,417,287,978,885,496,600,923,054,632,256,294,
717,875,860,643,139,904,005,580,791,308,058,103,101,917,508,127,192,390,089,
331,053,617,521,133,020,094,419,893,914,250,381,455,028,761,708,189,706,180,
352,759,287,700,331,100,920,322,030,695,299,983,035,335,488,485,604,559,581,
648,964,972,719,304,969,213,606,357,127,617,345,140,466,586,536,243,918,450,
649,917,113,933,092,071,539,347,163,249,789,924,054,244,688,870,282,058,969,
335,522,204,563,209,390,112,959,898,265,196,085,318,399,180,277,681,313,328,
517,151,356,497,434,715,987,068,872,230,828,333,467,424,700,999,818,764,420,
475,670,926,308,241,833,363,197,590,893,812,560,923,196,514,615,653,031,105,
101,036,619,139,395,482,685,998,072,353,446,848,124,896,501,132,468,730,932,
143,517,019,597,175,352,848,341,527,992,640,977,126,724,468,608,324,437,882,
918,539,909,858,341,104,979,247,008,372,405,458,387,973,314,228,681,053,556,
705,822,989,303,077,257,608,791,802,899,762,904,642,883,071,056,581,983,828,
801,838,980,992,866,665,215,053,072,003,571,219,851,186,233,814,159,473,719,
989,677,333,830,903,415,995,181,119,376,214,939,924,638,129,287,137,222,323,
154,936,079,431,137,314,966,672,340,163,488,387,631,963,156,148,434,081,595,
007,594,204,015,380,848,741,837,474,739,889,793,280,992,482,747,214,132,492,
364,679,747,575,522,718,024,700,280,372,910,695,953,125,899,338,230,114,698,
639,460,319,911,533,391,408,963,130,330,085,421,647,561,337,225,687,779,267,
220,514,580,428,695,643,142,317,495,981,187,609,931,136,318,459,693,613,757,
830,562,924,416,732,747,031,772,715,502,841,638,027,321,388,771,934,469,063,
260,966,818,470,679,372,607,996,585,582,241,100,425,241,536,411,577,323,779,
207,896,072,072,272,189,338,877,812,070,300,390,550,570,246,189,240,009,556,
265,890,770,871,209,855,763,763,838,952,049,683,905,619,666,349,038,938,809,
211,945,559,877,320,445,474,810,186,987,701,816,886,141,922,203,058,804,868,
069,889,829,714,990,240,542,759,922,950,065,020,353,584,631,021,074,514,952,
351,895,949,605,853,240,326,325,731,876,327,824,123,583,808,911,549,236,426,
173,665,414,730,179,243,067,785,426,181,295,638,562,411,189,359,017,282,346,
307,978,890,880,046,870,054,583,263,893,397,296,688,182,184,948,922,542,534,
233,787,627,730,526,927,683,207,995,489,391,752,362,832,526,415,206,751,338,
016,372,913,583,905,502,581,213,971,974,437,063,915,722,937,015,293,882,982,
408,219,606,911,816,830,748,728,417,289,976,238,584,538,937,335,756,406,014,
925,897,606,589,287,095,164,777,893,817,020,808,846,400,119,234,076,084,564,
106,747,445,369,524,949,139,192,258,944,349,491,103,251,825,407,272,154,094,
714,143,869,056,735,455,831,827,655,310,587,619,234,256,011,346,846,741,648,
891,361,536,021,751,146,843,087,541,396,653,776,358,863,207,792,634,745,736,
214,750,714,686,306,937,194,226,813,541,059,559,201,498,502,700,823,761,260,
730,672,323,480,714,899,641,227,979,534,530,847,016,439,234,142,338,175,548,
340,772,740,395,691,007,057,344,669,068,989,020,761,020,362,411,641,322,738,
303,133,949,056,484,922,582,933,430,168,489,646,424,842,022,138,535,057,333,
800,169,315,761,400,659,387,346,055,675,033,584,472,219,322,188,676,650,123,
303,113,668,739,180,945,341,196,941,007,657,264,957,149,234,876,107,714,053,
338,491,740,717,567,674,664,353,641,423,244,875,699,382,607,686,646,253,434,
656,055,814,918,239,371,766,829,538,003,754,722,721,370,294,282,520,190,564,
221,202,103,466,876,890,266,055,010,451,546,250,168,051,591,587,790,691,713,
413,497,605,668,839,732,067,843,185,020,202,664,745,759,152,181,305,592,963,
506,766,481,328,148,251,358,033,781,405,881,765,845,534,827,920,575,756,621,
330,253,711,357,180,574,739,658,283,809,911,691,898,891,186,526,664,081,874,
009,340,497,654,918,684,835,665,442,989,429,078,606,015,258,114,267,441,719,
346,135,965,891,586,529,576,026,610,010,414,382,856,849,330,959,181,612,168,
097,286,717,318,151,993,767,730,713,053,882,936,113,413,141,649,519,076,721,
701,748,567,705,288,104,266,380,153,966,995,241,578,616,094,053,076,424,961,
351,314,295,407,599,925,767,153,508,317,443,467,481,257,484,866,913,290,259,
155,018,406,656,492,222,429,782,778,516,455,913,045,598,771,476,314,178,914,
177,346,454,199,260,749,888,208,046,637,429,627,464,618,111,764,392,485,963,
534,250,206,889,148,209,856,561,630,828,045,303,711,087,035,244,304,369,251,
374,408,827,747,374,228,827,195,636,213,948,299,013,496,681,020,795,506,999,
796,565,988,126,703,584,860,865,516,566,783,549,503,657,535,320,273,278,274,
252,569,008,964,416,027,226,083,777,498,035,920,887,667,566,920,261,436,385,
537,833,046,269,903,121,302,786,467,794,814,320,503,602,307,654,437,586,324,
761,928,526,246,953,053,969,641,017,349,531,472,190,824,431,194,509,315,787,
484,683,526,037,564,551,255,973,804,855,779,763,704,569,136,176,042,992,101,
816,815,825,912,345,061,742,988,044,745,194,138,677,484,845,695,898,407,809,
005,158,369,329,984,648,431,941,916,217,982,569,099,022,260,663,858,760,563,
705,020,527,184,913,033,704,636,359,827,986,164,666,985,831,319,647,681,856,
833,925,072,017,187,100,866,106,615,682,122,488,657,769,850,962,820,942,374,
953,238,827,610,331,806,463,987,082,230,956,370,881,737,979,787,707,117,990,
417,152,961,725,697,819,011,555,860,016,917,833,650,956,746,375,030,662,278,
349,874,069,559,861,812,890,034,918,137,601,911,875,630,244,172,479,824,770,
398,955,712,849,395,969,617,804,309,304,626,087,725,346,468,003,150,477,730,
218,313,634,145,293,376,785,255,060,981,141,092,804,480,255,349,591,779,752,
200,437,377,494,089,159,239,027,392,624,005,828,001,075,857,859,029,571,031,
705,626,247,814,975,070,228,639,784,462,651,176,380,476,811,937,496,403,410,
203,343,175,451,317,347,115,149,718,721,975,227,973,816,643,090,563,527,980,
110,259,566,994,255,715,764,198,444,398,152,822,014,184,432,980,583,166,934,
040,006,077,124,126,522,205,813,262,990,908,071,921,878,072,394,929,512,572,
578,076,100,259,181,148,830,456,646,654,806,476,277,665,814,809,835,050,203,
817,313,164,133,978,448,055,321,060,519,240,306,536,208,365,696,598,902,630,
704,703,709,192,384,451,290,772,450,619,534,744,845,430,243,114,819,234,665,
385,260,099,438,712,519,937,171,681,713,329,960,472,702,671,024,180,167,090,
025,775,290,758,162,963,471,432,316,804,568,689,427,602,302,025,355,579,324,
334,812,938,890,444,408,206,832,081,069,186,808,353,924,068,863,269,497,399,
207,755,581,496,715,079,457,398,907,987,360,879,621,023,910,390,238,801,428,
756,876,248,210,279,815,997,427,990,412,520,094,183,986,249,610,704,651,449,
584,491,792,026,602,540,160,735,686,252,678,963,482,943,147,642,617,145,453,
380,762,125,462,623,124,925,743,379,856,662,539,571,053,168,599,279,314,379,
025,713,998,425,861,936,196,181,624,586,470,411,626,562,987,583,434,659,482,
162,062,638,062,252,499,724,332,430,393,433,509,281,933,767,291,147,470,904,
610,616,656,464,814,232,669,112,216,992,335,903,571,024,381,023,746,817,165,
263,028,539,480,547,887,000,037,504,831,167,428,938,229,868,329,682,523,986,
208,315,991,831,022,850,502,007,903,426,870,151,467,556,725,409,029,444,662,
446,919,641,269,376,998,256,681,579,277,683,192,684,879,021,776,042,210,679,
462,747,845,144,553,455,914,608,478,734,192,738,116,054,966,298,261,188,876,
129,712,098,781,919,900,415,815,650,295,077,282,580,506,777,124,213,511,940,
455,779,953,299,378,663,190,528,061,545,066,436,937,478,069,087,242,444,465,
401,609,862,311,110,750,925,509,869,127,645,006,370,119,396,619,785,927,746,
263,117,661,727,931,315,058,778,452,017,897,307,113,506,030,020,268,963,924,
413,069,546,143,173,326,139,236,753,929,164,752,012,205,845,351,530,662,275,
487,640,422,785,106,748,888,500,477,533,690,133,561,911,145,999,329,156,402,
347,406,191,032,868,972,444,326,655,507,639,082,179,103,991,268,128,581,182,
543,117,585,058,103,613,843,839,169,608,429,529,003,896,755,739,533,329,190,
057,186,933,803,445,652,928,174,646,488,730,239,636,716,523,090,548,552,567,
122,865,013,030,097,254,997,579,419,557,450,516,667,856,833,330,566,760,550,
533,771,786,367,411,523,456,898,839,900,121,450,477,245,764,171,851,749,301,
751,445,401,687,676,924,316,382,707,952,920,530,101,594,635,795,276,773,461,
539,693,615,539,934,907,750,182,540,336,261,439,469,354,106,998,038,084,763,
955,638,407,425,864,430,090,490,147,753,231,630,840,076,999,730,266,912,682,
756,888,298,422,539,847,850,097,655,365,441,554,722,172,794,467,061,562,661,
445,418,583,340,633,101,132,728,951,704,619,312,896,230,402,705,228,759,547,
924,936,928,168,832,142,758,324,686,698,294,111,554,948,208,831,041,356,253,
869,837,476,947,643,774,547,363,162,605,987,726,428,781,749,569,994,775,465,
668,044,014,510,239,870,668,621,303,166,369,067,318,793,927,575,394,574,456,
517,646,100,178,824,152,735,554,248,688,171,624,782,270,884,323,464,657,359,
297,912,323,313,613,751,488,771,713,399,467,920,764,947,488,790,409,626,176,
526,775,277,914,641,000,099,697,419,188,659,812,210,241,487,643,226,185,586,
403,152,214,304,974,834,870,166,029,155,210,751,088,952,767,851,420,663,040,
812,870,503,727,426,652,131,240,920,259,737,281,591,516,582,684,860,815,137,
990,110,120,308,343,147,608,607,915,938,701,109,155,870,848,818,409,290,261,
714,501,902,668,928,166,861,433,172,999,689,584,070,730,235,472,374,062,934,
098,214,835,744,627,581,086,700,639,854,677,751,873,815,651,057,676,886,916,
422,636,329,728,625,036,384,388,068,750,677,422,084,350,943,053,471,348,517,
936,284,787,875,926,289,051,514,752,633,325,024,757,283,198,098,537,953,679,
702,116,825,448,544,371,102,040,870,746,220,604,013,215,663,809,358,412,714,
782,368,616,600,580,864,962,447,226,929,545,749,044,666,410,451,276,478,496,
644,713,512,938,912,797,261,863,903,410,393,124,598,558,150,451,619,677,760,
173,887,356,930,998,746,222,341,389,786,660,051,273,833,148,667,830,413,260,
831,157,578,303,720,776,524,088,332,281,683,123,518,686,658,974,101,576,748,
149,910,334,296,671,077,590,975,280,878,329,890,150,396,996,567,932,932,252,
641,106,316,095,764,942,259,615,262,000,941,059,935,360,466,963,091,409,482,
261,771,543,901,782,519,199,791,575,935,204,923,107,625,526,397,869,527,640,
508,042,902,272,552,431,461,755,153,840,413,884,971,954,112,380,243,484,538,
471,127,106,309,892,473,538,053,630,373,770,066,206,622,059,664,130,815,677,
619,028,911,649,345,458,926,476,430,081,710,270,991,249,314,949,208,598,366,
005,418,529,459,589,739,533,116,814,530,147,692,864,326,541,660,013,622,541,
928,141,478,610,272,946,674,224,252,573,890,837,260,929,471,907,414,007,313,
392,897,595,047,104,974,868,689,976,026,765,716,577,047,320,683,266,220,635,
371,202,040,765,097,693,625,123,239,071,495,317,663,361,501,536,237,831,899,
211,469,047,017,594,445,467,524,025,473,410,848,508,222,634,586,329,866,471,
150,161,098,638,803,577,715,538,347,472,563,767,973,089,539,803,063,936,614,
624,497,777,905,224,562,860,759,675,418,378,660,179,424,405,732,848,780,830,
260,129,607,872,427,418,595,281,677,448,534,237,555,822,042,041,144,250,850,
986,597,979,708,956,792,096,136,157,456,066,328,497,707,276,506,153,389,128,
981,873,729,516,763,594,246,591,097,557,574,626,764,930,180,695,633,270,311,
480,841,295,624,187,930,175,464,286,128,277,852,501,573,226,444,382,477,593,
270,959,544,178,131,709,329,557,386,008,274,553,751,898,018,081,610,358,153,
464,809,606,201,962,231,474,085,601,585,638,033,179,126,953,131,831,735,591,
192,797,480,418,993,503,523,356,051,355,099,297,953,920,234,934,073,182,293,
172,236,010,964,820,454,723,361,956,394,041,356,536,900,444,311,463,984,582,
210,772,248,759,022,066,530,650,229,221,510,434,041,647,303,424,215,830,814,
213,959,856,084,327,046,124,717,133,248,254,650,490,017,483,711,719,423,297,
796,447,018,784,000,078,207,520,702,737,260,149,566,538,843,162,608,764,006,
292,773,427,859,308,592,930,971,638,557,303,474,970,836,315,786,245,447,547,
811,015,834,073,525,233,169,990,280,607,742,982,984,107,626,532,517,639,059,
001,832,180,050,062,503,088,908,240,944,001,743,029,847,383,190,052,054,003,
575,340,731,782,656,858,622,132,305,073,061,850,906,481,046,103,266,356,040,
268,811,472,210,963,550,896,376,328,377,192,995,259,059,246,430,297,538,540,
801,583,070,543,427,262,146,070,926,621,394,402,847,532,606,474,039,686,013,
152,938,765,394,820,705,032,648,014,327,913,384,994,335,426,170,140,171,476,
157,969,940,385,245,639,389,604,641,765,843,291,718,206,985,695,534,975,912,
364,506,575,426,059,474,610,095,637,589,376,078,214,084,817,359,591,950,822,
258,470,474,400,834,160,115,242,189,401,658,397,920,771,864,624,354,172,733,
920,451,563,890,949,078,092,076,310,321,824,914,334,557,553,882,918,138,162,
123,740,230,070,730,587,940,467,652,907,873,131,059,812,392,339,373,885,915,
254,735,116,514,721,915,196,826,043,808,248,070,040,338,934,749,548,951,479,
957,203,137,280,343,148,205,550,837,697,712,846,305,760,265,165,272,802,570,
346,176,483,937,971,612,475,820,316,608,874,674,061,604,761,997,066,756,989,
690,620,945,218,514,736,151,394,453,099,392,309,775,171,417,990,547,965,899,
258,681,969,048,105,796,336,814,433,017,157,003,154,014,147,734,238,961,938,
253,574,662,720,673,897,777,608,892,365,023,783,090,213,359,574,683,138,940,
950,333,608,410,427,195,597,639,531,024,130,671,433,515,580,613,751,269,384,
548,772,175,885,945,405,680,863,532,176,286,296,898,517,170,221,652,135,825,
939,773,011,580,495,932,262,368,901,741,672,307,077,949,850,023,112,287,327,
639,790,272,329,086,760,403,351,282,785,965,790,286,875,745,524,154,794,773,
660,428,719,316,457,757,561,206,745,190,008,663,132,359,935,069,449,699,608,
220,122,594,111,230,329,398,573,149,608,405,068,096,386,594,685,288,531,697,
456,769,210,551,714,645,347,508,889,643,612,313,852,149,007,629,105,877,201,
056,414,849,400,186,384,815,791,141,775,147,495,455,549,148,520,441,214,452,
409,411,832,896,163,777,123,456,300,455,621,991,700,274,122,188,638,538,686,
718,043,176,542,155,760,947,963,639,549,515,909,000,069,170,096,005,171,965,
299,222,016,829,940,079,369,438,235,527,169,532,416,877,102,605,669,416,826,
039,163,572,990,485,536,646,013,524,246,359,513,268,258,157,997,492,674,601,
757,247,017,357,070,623,594,198,993,347,904,964,774,789,092,472,442,265,055,
447,745,936,517,502,594,152,921,045,503,378,632,631,240,006,909,111,988,551,
704,991,243,106,064,424,965,822,495,557,127,020,439,357,161,523,888,794,867,
564,884,150,845,129,624,474,037,931,032,938,068,179,758,076,421,579,697,874,
236,913,090,917,040,127,837,316,015,558,801,858,503,066,168,814,684,563,447,
262,103,578,707,049,046,822,887,528,587,325,976,943,462,642,956,860,764,149,
831,440,154,176,693,965,883,517,296,810,019,774,361,327,745,627,588,418,114,
497,236,275,629,006,502,354,116,520,737,634,900,503,711,888,637,044,187,283,
907,381,874,732,883,991,034,918,152,884,272,036,513,783,979,164,498,537,316,
736,021,806,183,776,600,339,377,954,855,400,481,709,546,459,318,227,968,042,
919,808,069,363,181,998,408,732,194,755,671,668,212,974,072,308,328,440,174,
827,584,416,966,352,477,830,225,907,992,856,657,357,956,358,781,708,250,257,
265,856,729,325,231,730,865,472,387,593,422,662,710,870,422,669,802,862,976,
917,338,395,703,506,709,492,150,466,423,464,684,028,692,532,439,629,102,456,
011,206,526,367,153,435,977,232,832,382,313,575,298,317,695,027,353,094,309,
350,141,301,304,750,221,059,419,899,694,117,072,212,980,660,529,051,732,175,
941,154,673,559,788,041,016,912,768,876,311,922,998,613,411,061,419,182,223,
134,429,275,478,993,903,684,772,339,592,225,954,971,920,968,497,381,683,034,
012,908,116,760,893,060,959,418,098,642,874,148,735,021,897,452,753,725,603,
760,542,782,970,544,844,725,608,743,854,109,924,049,072,780,191,247,915,471,
968,592,582,217,376,816,528,567,928,763,640,048,790,280,401,973,400,335,855,
185,827,323,536,453,677,220,676,395,197,272,380,032,434,178,692,770,876,538,
528,871,940,780,051,665,369,075,862,877,157,446,758,470,155,654,688,641,912,
995,756,595,257,971,839,777,889,544,384,312,472,432,301,333,574,639,983,947,
855,212,425,883,744,459,091,117,532,498,110,805,640,853,079,177,562,089,958,
680,461,299,582,342,463,690,280,758,496,062,979,863,189,912,315,907,095,354,
286,259,380,828,041,997,166,157,784,938,486,235,477,353,805,162,510,495,607,
836,707,887,941,669,087,550,962,081,164,570,431,220,782,944,390,193,569,448,
205,466,988,593,657,206,979,785,010,517,627,018,675,746,673,416,256,253,999,
179,059,882,274,072,481,663,655,781,384,342,600,562,826,617,892,025,549,183,
236,898,131,899,965,173,657,679,091,523,808,660,613,852,855,571,547,557,881,
496,797,147,830,689,274,783,998,652,151,956,365,684,642,609,828,403,181,621,
669,751,610,170,076,726,625,677,308,220,237,327,850,082,866,869,322,494,287,
485,386,714,995,755,076,972,064,498,457,695,610,286,514,227,248,743,799,116,
629,966,726,065,220,803,614,390,569,818,793,807,069,360,963,622,901,932,390,
402,578,286,791,571,763,246,797,457,878,295,690,830,400,317,292,263,142,568,
089,965,748,148,147,093,934,126,368,330,792,716,635,794,228,062,011,507,527,
177,676,417,750,393,004,392,625,283,406,728,518,552,703,849,743,571,354,127,
603,498,143,488,010,346,521,119,716,033,490,002,214,131,586,982,942,736,803,
568,660,549,467,789,720,739,039,281,886,476,398,414,336,986,818,496,768,022,
772,782,510,151,791,508,039,873,401,029,066,907,377,970,776,412,733,678,848,
623,406,807,965,485,989,154,852,562,771,735,112,753,634,573,196,008,192,889,
639,425,844,532,642,725,643,592,631,555,833,370,695,058,859,261,143,878,937,
686,202,638,432,295,350,465,733,044,096,914,035,265,819,796,841,839,738,939,
159,553,226,813,493,228,541,902,317,732,564,278,649,202,466,234,756,941,977,
656,338,258,395,764,960,721,759,960,158,987,245,306,751,886,736,582,449,101,
794,479,214,976,574,783,554,393,926,353,646,063,064,213,155,022,435,743,396,
965,399,348,947,472,446,587,161,811,991,686,686,624,803,859,000,976,617,229,
792,503,591,458,626,578,216,919,206,655,897,888,097,780,308,053,143,112,196,
008,337,446,850,491,808,436,237,730,745,744,829,977,684,836,182,819,317,842,
128,339,774,853,676,961,025,743,160,887,889,847,848,502,539,633,058,515,951,
147,176,018,657,961,469,837,386,840,007,358,722,683,386,822,073,433,005,106,
170,001,559,343,891,706,223,195,235,890,699,093,443,517,900,777,649,787,646,
783,873,122,869,685,120,832,894,451,990,746,103,099,199,485,793,436,260,995,
601,925,014,254,782,641,817,658,982,432,476,317,959,233,891,839,078,464,532,
112,934,449,636,251,076,241,120,138,866,841,080,316,524,941,436,154,551,080,
580,566,799,573,554,936,118,521,609,233,707,954,641,871,194,362,974,221,211,
226,774,506,326,439,720,326,033,419,556,015,550,914,673,663,654,407,012,720,
590,642,358,863,902,107,958,826,335,277,697,457,746,208,495,202,698,767,969,
333,454,260,568,129,717,756,006,062,006,712,277,490,536,641,836,683,178,617,
850,259,341,856,318,190,189,384,889,792,500,381,628,049,674,855,944,902,184,
814,096,434,709,243,257,500,755,916,037,361,161,092,820,542,627,857,399,261,
160,177,330,911,104,690,428,124,871,710,735,866,425,855,172,969,858,421,300,
519,258,939,924,079,469,882,818,303,469,106,040,568,118,516,620,950,627,338,
101,214,121,114,569,649,378,707,072,847,860,410,900,953,098,568,979,044,326,
054,671,832,295,140,338,060,763,801,572,751,826,529,923,639,220,064,351,787,
439,058,623,469,796,689,074,958,853,523,598,713,449,878,211,707,020,406,126,
480,708,275,225,991,837,485,700,155,639,008,599,253,312,295,294,301,696,673,
312,559,665,443,423,419,511,635,925,268,305,448,553,804,835,979,706,949,573,
104,267,621,986,642,381,078,543,203,220,770,351,519,024,963,080,687,852,587,
410,934,286,775,238,655,722,106,468,029,745,968,193,903,257,875,531,514,764,
826,671,935,705,196,696,685,280,939,531,965,553,503,733,012,305,471,723,217,
445,846,171,649,020,308,313,232,231,005,012,835,901,082,412,375,697,587,236,
241,176,444,790,941,884,716,681,623,859,406,823,406,267,130,997,844,858,455,
848,146,168,769,068,705,713,266,043,911,757,297,571,353,544,878,762,521,610,
867,010,730,476,845,965,330,409,021,480,324,660,520,876,791,663,507,050,015,
113,303,668,820,743,980,021,243,540,953,695,769,567,008,847,611,275,229,225,
483,668,336,052,606,345,450,571,012,936,126,246,242,328,070,591,018,339,496,
091,792,721,865,558,096,116,151,965,851,082,858,523,079,606,788,117,048,534,
730,639,688,412,573,518,353,803,585,862,729,759,362,805,693,176,854,204,597,
774,589,110,853,990,117,854,202,498,615,342,749,088,319,866,085,908,622,186,
357,534,209,519,243,399,327,518,670,018,823,206,345,820,306,047,966,214,116,
451,878,971,311,493,698,784,076,734,351,166,882,281,609,180,252,659,043,092,
760,180,566,578,690,301,994,675,063,687,159,735,868,655,327,858,074,580,594,
141,572,149,563,163,557,258,793,376,589,413,211,708,151,829,820,756,618,175,
011,811,128,733,533,568,950,217,801,910,141,422,142,709,217,487,467,525,132,
397,333,522,053,953,219,491,081,587,792,551,339,772,692,581,615,607,203,495,
946,906,628,939,970,011,858,032,903,683,017,737,405,194,555,712,945,818,947,
588,475,580,739,405,738,881,544,115,718,278,284,974,143,154,537,232,322,865,
733,613,937,947,359,786,661,725,904,155,508,146,910,339,975,135,556,139,281,
638,913,695,600,883,063,265,557,102,718,763,377,867,688,388,102,728,297,226,
986,177,175,873,880,788,309,417,003,250,256,342,789,016,674,447,324,750,363,
759,248,496,854,230,520,497,342,615,861,055,135,813,599,735,386,552,932,190,
998,028,548,422,482,536,746,478,335,091,246,144,265,947,184,724,196,780,998,
801,571,417,107,582,800,508,296,764,214,874,497,137,276,934,411,103,902,304,
993,162,256,583,595,335,696,098,582,832,048,365,820,001,632,274,650,638,338,
192,463,797,150,996,513,567,778,384,201,177,170,398,941,223,024,331,467,712,
550,560,316,062,963,586,652,746,919,956,614,667,511,686,120,607,241,385,830,
423,801,485,111,908,722,655,753,281,960,352,066,653,415,395,375,608,441,646,
300,704,630,390,820,237,504,621,394,634,318,427,321,802,466,911,503,654,907,
575,468,660,987,199,203,927,618,172,298,801,003,959,243,355,439,784,787,919,
087,654,602,196,126,308,969,734,406,354,059,221,805,097,902,477,599,329,682,
473,441,977,400,559,493,760,022,467,321,666,514,349,567,743,635,175,160,792,
830,497,428,476,531,298,141,310,669,618,101,866,523,967,636,489,283,946,520,
539,209,954,779,691,224,809,202,802,301,220,041,636,967,414,658,020,356,446,
794,294,805,750,780,300,955,440,544,618,646,816,008,181,586,864,300,090,694,
940,853,815,291,532,218,792,490,319,491,452,861,129,149,384,860,805,383,294,
775,317,696,684,016,410,132,293,716,934,220,655,811,003,776,749,691,576,792,
930,025,042,695,676,816,216,443,609,167,134,858,524,713,819,785,367,278,171,
804,551,412,887,559,022,898,691,345,038,099,150,473,309,519,414,387,240,550,
198,466,449,814,553,201,191,192,364,922,098,480,859,228,294,334,837,888,088,
457,654,667,301,512,805,247,783,569,262,666,394,493,015,509,198,265,154,751,
915,358,385,114,104,585,320,801,632,282,049,973,776,974,220,936,416,337,100,
355,446,973,829,722,342,907,295,626,946,971,571,456,346,483,016,184,102,169,
896,874,725,586,624,502,326,442,899,461,896,426,073,075,758,119,976,163,293,
774,886,238,054,911,399,186,950,807,452,077,825,937,309,211,429,006,617,021,
335,578,910,443,839,742,378,098,314,572,492,064,660,946,830,363,178,361,910,
192,436,782,914,832,361,036,414,984,285,950,415,386,193,550,215,173,862,764,
191,900,997,708,564,321,065,113,038,971,125,753,298,777,137,665,622,767,171,
508,503,989,620,795,400,791,226,939,102,754,114,474,359,403,628,494,899,387,
909,787,445,611,431,606,104,203,350,960,224,525,072,038,995,309,439,194,605,
947,414,183,665,492,470,168,991,296,133,561,625,418,021,729,615,314,944,168,
878,144,685,973,139,786,711,734,344,784,742,295,601,321,217,051,802,509,328,
678,546,448,819,227,294,698,830,546,660,339,605,360,468,709,178,023,076,818,
389,144,591,738,031,689,349,633,632,935,072,274,927,205,898,339,341,998,529,
198,607,213,445,199,049,650,207,314,567,086,544,374,966,965,832,018,393,403,
394,608,837,263,574,337,806,716,106,927,658,803,674,856,861,542,303,395,540,
247,467,525,477,523,592,735,842,203,957,704,979,367,150,711,944,221,820,274,
515,718,408,095,582,956,264,549,129,200,639,981,723,330,268,054,722,647,066,
759,510,965,879,158,350,144,350,193,949,004,586,512,220,379,737,425,624,873,
328,218,946,940,645,084,986,973,261,777,857,878,030,726,279,892,346,877,330,
723,885,951,880,486,382,550,447,450,499,125,528,144,871,648,193,333,617,139,
441,977,755,023,332,184,897,677,899,956,594,929,198,584,884,635,284,305,365,
215,514,753,544,757,543,737,385,959,458,208,564,829,749,494,196,265,326,944,
469,555,269,652,077,054,480,760,623,345,673,478,628,020,632,039,989,522,749,
408,913,934,323,238,180,970,670,051,048,036,423,459,161,108,188,281,906,981,
267,349,093,617,647,485,820,632,354,568,840,164,314,637,292,253,382,546,623,
093,869,918,624,418,855,950,878,471,069,331,755,223,827,312,347,420,085,734,
376,982,985,294,384,501,256,129,228,627,599,986,968,587,679,926,230,133,039,
885,735,734,422,482,661,228,963,243,932,248,617,783,849,411,842,581,555,231,
396,238,464,698,559,580,459,085,156,702,954,737,246,441,968,091,705,100,454,
456,099,111,054,222,409,668,251,195,276,198,647,096,873,636,726,948,195,029,
433,281,840,268,731,830,415,216,681,125,443,952,802,709,899,873,845,182,900,
945,371,450,748,926,405,176,267,390,067,068,246,613,735,078,198,891,306,345,
981,868,511,675,661,902,767,033,903,722,504,141,177,401,695,274,997,884,610,
241,590,083,344,109,073,807,415,338,823,621,715,165,944,503,224,883,673,626,
941,780,890,735,123,238,253,021,540,832,587,007,177,686,090,819,259,684,707,
852,953,061,609,910,667,921,507,336,189,386,798,742,626,559,021,792,943,793,
629,032,864,942,252,388,847,444,796,798,200,958,562,319,048,962,106,166,290,
345,831,972,245,907,655,626,610,129,201,445,539,837,182,748,852,639,556,725,
993,815,766,853,990,155,371,735,605,559,359,915,745,845,929,123,107,717,603,
118,218,610,316,402,228,097,344,212,767,112,338,282,460,341,879,735,068,079,
602,479,761,843,580,057,899,802,047,313,418,259,832,465,328,716,854,124,958,
663,605,474,635,551,570,870,492,484,365,588,186,076,046,260,786,288,320,348,
419,883,349,103,082,450,183,609,432,449,835,217,411,386,700,515,413,879,678,
617,508,896,478,081,062,541,058,178,883,219,918,623,323,894,812,319,178,786,
033,438,568,508,226,459,277,954,770,660,429,906,683,738,512,699,995,815,052,
616,835,412,107,734,851,342,674,976,807,610,641,711,883,590,150,050,065,340,
956,894,589,113,905,569,832,759,237,217,857,832,130,089,843,272,039,314,118,
510,177,840,284,539,246,832,443,612,611,390,336,078,271,845,233,255,608,930,
835,811,232,529,318,550,961,200,279,384,081,326,890,144,740,934,193,498,371,
340,509,460,764,501,494,338,197,351,822,811,988,414,561,861,591,340,685,081,
940,403,379,958,948,832,436,300,427,054,894,767,582,085,379,165,215,605,197,
879,090,216,016,119,513,066,043,145,847,127,833,354,948,608,420,840,276,076,
125,019,456,111,991,568,416,721,760,723,617,166,425,234,086,968,119,983,094,
033,236,577,277,438,315,377,657,086,392,656,314,930,744,644,573,066,125,446,
726,918,509,145,105,516,494,646,297,679,958,059,609,084,087,223,607,647,509,
248,677,272,907,069,608,990,822,189,961,540,833,954,822,744,246,847,974,534,
602,595,664,370,858,152,635,508,367,478,607,444,444,006,173,291,661,220,462,
512,223,899,294,200,235,506,095,685,188,725,178,619,900,336,781,056,210,035,
456,199,526,066,662,743,432,057,176,724,340,099,340,958,135,703,694,789,867,
989,509,761,837,982,906,608,530,523,828,910,024,085,226,187,658,520,446,622,
082,875,249,412,758,423,726,850,287,167,933,148,131,395,959,266,916,467,375,
988,302,138,164,023,463,897,748,551,080,557,823,493,035,485,581,700,095,200,
621,552,142,392,509,043,497,512,571,200,992,529,504,277,187,415,453,961,421,
351,090,917,464,573,385,623,030,181,896,347,814,387,666,055,648,724,633,495,
005,189,320,544,584,662,383,625,737,729,431,769,958,525,997,943,626,265,107,
400,585,383,756,046,188,672,317,592,483,583,299,615,156,992,401,241,954,301,
307,650,298,866,951,100,600,160,389,554,607,956,035,220,273,956,108,675,954,
356,722,617,408,956,688,984,000,011,963,896,771,944,583,693,039,802,542,407,
974,424,173,926,375,624,898,738,272,388,290,118,242,420,734,898,118,648,653,
224,590,276,074,960,360,124,519,275,634,908,635,656,684,580,131,803,091,759,
938,846,011,866,052,405,377,563,945,867,006,791,785,341,376,830,221,465,176,
805,874,981,272,349,304,389,335,217,439,294,407,647,687,573,566,100,222,721,
417,418,228,887,412,327,803,698,779,602,339,710,424,759,915,239,130,142,367,
732,332,897,082,049,550,799,268,879,745,335,204,762,256,221,892,568,348,674,
071,435,244,036,655,978,852,883,441,172,750,866,070,049,488,939,943,791,979,
413,543,927,194,289,582,546,234,683,434,858,810,298,541,220,011,588,294,425,
150,718,660,190,368,549,102,349,208,803,649,483,854,544,300,255,015,068,753,
133,393,737,824,087,052,104,875,878,410,390,632,378,275,560,621,434,826,232,
489,419,643,013,925,685,676,638,388,168,766,809,961,576,419,599,936,256,761,
024,570,738,239,164,522,533,757,575,145,517,510,979,672,854,055,798,652,269,
779,561,751,733,177,153,669,309,275,532,997,581,810,077,760,073,130,957,554,
421,032,911,886,316,939,351,805,898,865,099,044,918,168,541,965,286,322,808,
175,057,591,437,884,829,984,358,911,208,870,591,701,938,968,762,351,793,127,
869,491,099,469,580,396,600,583,865,260,938,055,287,031,800,994,991,657,602,
391,337,420,005,222,081,330,737,024,188,004,568,676,940,019,634,088,518,800,
888,317,128,085,115,330,505,290,529,332,686,123,073,030,573,440,686,484,296,
991,862,435,206,325,685,252,842,709,915,343,516,149,846,917,547,266,335,026,
532,274,308,348,925,415,763,681,018,912,277,748,531,199,504,384,838,813,023,
364,913,559,135,616,747,185,955,338,994,429,857,577,049,729,364,492,621,486,
734,376,505,433,552,028,854,332,156,729,307,622,127,447,204,329,303,994,269,
119,135,101,625,331,212,323,511,047,716,261,653,004,912,431,087,996,169,070,
177,612,276,749,190,407,430,621,487,953,833,048,760,260,610,140,388,612,875,
018,699,030,647,853,211,206,915,093,007,405,832,057,244,883,396,205,225,194,
576,413,702,967,470,099,656,902,976,917,639,664,474,884,332,577,703,434,432,
685,922,309,841,296,037,962,735,956,715,645,487,273,705,502,939,734,746,791,
900,436,981,012,982,795,718,767,865,498,745,134,003,572,418,685,574,138,495,
872,392,504,353,168,877,719,005,414,700,311,763,098,468,821,347,099,514,979,
478,113,751,505,322,556,986,434,571,809,775,520,538,461,600,262,887,341,625,
348,124,121,886,926,580,474,244,438,640,055,212,676,141,057,131,642,299,770,
147,156,257,739,663,577,313,529,247,129,816,065,365,799,717,313,609,474,340,
167,052,500,606,592,605,346,413,793,375,508,703,683,615,258,605,456,358,876,
102,041,419,810,206,497,616,666,394,457,811,022,361,552,470,223,156,043,516,
813,655,753,895,352,257,424,188,270,608,070,292,717,193,276,493,688,115,697,
676,715,916,480,898,011,820,598,280,855,086,425,085,139,350,986,110,861,530,
917,955,515,271,333,264,816,529,618,122,975,868,291,927,175,504,023,706,639,
097,338,240,353,582,092,353,684,232,303,086,304,702,139,288,037,551,391,248,
259,262,167,579,932,264,227,761,639,913,380,460,432,868,401,874,521,007,941,
301,253,017,507,132,575,627,718,510,990,567,221,690,200,876,670,096,201,296,
356,507,398,854,400,373,234,213,210,205,699,860,473,666,480,451,071,981,159,
468,188,662,012,596,842,442,590,515,168,621,634,292,597,780,883,332,185,943,
963,088,817,098,087,146,819,532,898,688,696,181,869,647,646,309,044,037,820,
001,669,717,226,762,263,752,370,718,532,220,689,076,488,421,329,128,772,657,
845,061,585,778,209,816,116,862,026,652,450,859,687,941,488,096,150,873,901,
488,202,251,828,743,980,302,093,629,139,428,936,578,080,804,854,034,220,527,
309,620,225,933,969,725,466,647,851,769,261,014,126,692,113,034,107,168,309,
621,232,983,585,738,449,691,973,346,439,129,102,295,472,173,593,244,865,402,
092,232,451,919,860,605,789,727,284,989,313,785,057,688,479,215,795,442,849,
716,370,428,394,966,689,016,666,120,711,628,403,725,976,133,481,717,347,714,
418,226,488,237,199,802,809,302,343,529,497,998,336,771,976,386,123,263,621,
004,749,681,911,791,598,075,901,660,604,004,100,954,009,078,663,711,947,600,
726,827,681,572,320,142,980,488,660,587,784,478,366,784,776,469,058,497,572,
769,457,118,682,275,849,782,044,981,214,491,191,026,638,854,545,820,554,196,
358,009,395,738,109,735,518,154,043,430,494,781,878,408,166,801,921,917,427,
250,358,767,224,802,215,062,384,189,189,324,377,663,158,820,380,133,058,977,
763,772,121,372,584,965,191,663,932,599,141,357,451,244,549,702,813,120,962,
057,455,719,168,619,363,263,886,256,254,034,902,912,757,776,449,677,465,567,
395,525,407,808,506,533,253,886,186,880,694,717,096,994,260,947,832,184,265,
895,739,029,884,676,335,622,110,534,836,561,014,741,645,635,242,224,791,432,
499,099,215,216,481,850,269,084,332,047,182,595,559,331,837,201,799,147,043,
845,427,283,591,636,021,990,718,591,623,339,692,347,844,590,775,408,424,363,
206,699,971,003,398,796,396,878,602,538,248,211,769,496,073,178,433,302,176,
611,067,927,916,789,327,638,956,680,094,733,339,218,536,146,965,885,322,259,
100,004,453,892,677,881,401,096,828,902,819,675,683,241,287,898,159,508,143,
996,643,730,149,496,260,290,706,474,345,764,333,276,924,721,018,191,791,349,
304,763,087,267,785,237,028,372,311,104,392,025,961,653,823,642,138,546,293,
735,292,431,353,914,080,764,546,341,040,855,805,693,389,413,238,731,028,808,
993,327,979,343,136,596,765,653,676,866,166,016,169,542,047,674,634,446,139,
298,987,063,943,913,137,229,036,661,038,074,606,539,952,704,877,101,752,136,
329,112,214,531,460,839,212,253,841,960,273,258,231,595,875,392,221,516,859,
305,912,572,083,565,038,664,864,598,788,155,039,972,019,378,772,859,605,192,
856,430,433,585,173,104,210,125,303,347,905,699,723,453,967,365,277,083,216,
305,216,425,769,547,980,432,009,854,960,461,450,990,363,953,005,744,840,256,
962,477,104,804,501,725,736,718,407,654,850,877,683,524,884,760,779,408,354,
534,006,527,189,940,524,506,032,939,228,889,647,075,013,976,764,741,262,259,
631,057,625,036,922,224,561,492,588,798,178,630,623,147,874,208,902,908,959,
580,660,962,723,260,843,252,664,901,778,760,724,471,362,604,876,068,022,007,
860,336,279,081,788,109,006,473,019,188,801,312,131,693,628,215,392,578,628,
905,965,380,637,908,062,551,846,603,506,675,473,251,257,700,020,357,627,098,
960,189,106,332,372,057,083,199,388,537,482,668,513,922,062,460,002,080,927,
549,982,549,567,775,148,611,892,054,344,215,141,358,208,572,603,186,927,806,
956,137,470,500,748,263,094,195,421,470,407,403,116,523,205,149,086,911,519,
343,380,593,263,560,210,619,005,859,137,211,415,147,575,968,100,831,405,019,
141,112,799,711,525,684,910,437,956,522,716,369,367,993,931,801,187,543,362,
818,229,457,570,280,453,642,274,016,094,869,104,274,981,286,450,182,794,829,
181,241,768,962,771,508,402,586,051,564,686,701,781,313,458,303,928,203,475,
522,278,849,863,774,544,615,891,451,833,114,205,299,393,282,535,718,855,025,
146,077,180,879,506,493,686,013,891,361,452,088,668,147,480,773,544,576,560,
465,945,434,464,959,140,040,685,548,789,835,112,966,881,860,698,254,412,322,
604,282,941,196,461,351,431,796,890,410,225,132,448,184,660,985,950,024,391,
006,977,246,240,495,839,513,912,449,456,532,521,483,539,587,959,694,600,730,
726,266,067,582,808,997,491,176,433,361,775,831,328,387,136,069,761,709,725,
650,526,082,717,983,015,514,650,781,686,720,742,588,509,904,379,768,106,700,
375,575,063,216,715,230,574,879,072,743,871,955,696,051,713,580,454,177,373,
948,994,187,873,262,160,203,057,892,054,290,448,317,451,977,565,823,327,551,
732,224,023,263,927,273,212,333,489,311,618,659,586,500,864,365,993,283,680,
652,172,141,790,156,940,400,151,935,515,209,446,857,303,024,520,792,342,246,
494,755,686,901,909,250,777,765,763,754,966,882,267,017,148,198,535,601,799,
041,109,897,313,831,214,664,006,278,252,555,087,934,522,492,917,106,843,078,
754,135,802,203,701,011,707,722,104,418,620,897,739,278,453,192,561,165,974,
641,435,434,693,330,275,586,008,543,272,526,166,270,614,786,497,742,782,877,
385,387,976,368,441,848,300,115,359,658,439,179,607,724,683,612,440,337,857,
523,051,390,466,698,671,256,964,266,549,934,200,124,581,068,839,240,954,599,
977,267,145,321,783,870,214,931,799,645,765,460,888,177,108,618,315,686,727,
419,476,848,434,728,268,130,841,801,631,344,671,298,316,007,458,770,785,049,
954,399,772,966,831,569,723,492,985,492,971,631,148,030,327,963,509,726,388,
641,867,954,159,757,525,888,357,561,446,960,777,072,815,405,107,836,015,940,
554,342,366,177,947,662,755,068,916,907,068,420,511,611,723,028,237,512,143,
008,128,989,427,612,268,279,304,162,085,802,724,548,090,926,429,906,573,246,
961,979,785,563,348,507,671,076,430,837,011,219,641,859,400,729,186,558,392,
204,112,433,235,561,079,995,489,752,913,782,572,027,442,372,452,890,620,215,
325,038,461,990,412,982,290,458,848,094,491,709,193,856,776,826,512,718,725,
013,926,324,030,621,313,746,926,849,951,225,363,641,965,714,992,261,838,895,
252,422,244,022,948,723,515,286,115,613,006,031,277,374,162,320,526,645,158,
832,049,603,852,619,845,429,623,319,479,783,472,104,917,742,074,716,973,437,
425,927,905,074,073,914,980,866,580,434,139,304,148,386,744,808,466,260,828,
902,036,029,497,243,539,572,376,322,410,691,561,354,716,152,189,839,803,368,
383,848,845,359,993,606,577,899,426,880,139,810,440,494,568,319,831,343,463,
127,974,224,207,789,534,141,520,314,140,829,576,874,141,175,976,684,047,281,
445,544,781,945,663,870,116,828,844,285,248,987,982,656,569,948,228,406,424,
142,146,636,155,579,570,513,143,882,601,613,869,727,044,524,740,180,406,819,
058,109,810,494,178,482,319,309,056,767,414,703,144,393,022,232,473,285,272,
846,634,653,221,255,972,431,179,154,108,857,190,921,488,217,843,856,934,330,
339,026,555,160,086,624,178,663,342,969,745,421,169,753,080,914,612,702,352,
171,733,201,618,125,431,315,662,008,825,174,917,636,899,787,003,842,839,050,
388,556,340,398,180,869,014,171,889,637,315,986,858,591,004,091,868,442,797,
439,725,346,434,114,233,532,504,665,636,975,040,136,935,675,003,882,046,088,
962,226,758,051,009,455,341,004,592,122,035,870,197,477,795,067,637,754,856,
161,837,005,156,781,471,085,316,696,758,426,889,101,930,565,761,415,136,686,
048,162,046,093,014,359,989,059,243,595,850,460,683,752,069,153,575,976,994,
877,433,846,818,296,871,725,925,675,544,798,280,427,978,425,766,957,085,049,
680,482,302,291,251,310,921,500,719,435,495,094,336,155,016,304,984,228,251,
263,616,558,420,322,281,074,773,503,488,364,790,999,832,938,618,299,601,210,
429,718,094,161,466,174,531,369,194,842,082,195,613,739,200,130,271,580,214,
409,380,723,168,962,238,444,441,880,986,536,000,779,469,309,239,940,243,811,
430,474,998,973,593,856,804,422,560,097,961,250,226,043,031,211,720,980,808,
076,928,694,467,951,558,275,299,418,251,131,575,102,199,617,392,924,133,719,
045,897,784,951,306,861,854,643,737,605,536,416,737,124,419,085,588,985,247,
826,305,848,679,484,295,530,364,793,722,667,887,120,662,651,818,669,187,176,
632,411,979,860,588,403,598,949,124,995,342,905,757,263,061,350,990,435,487,
442,221,740,799,839,864,721,942,304,954,416,732,536,287,372,016,174,240,831,
313,042,996,835,283,834,133,016,473,916,447,307,029,670,291,867,973,118,128,
052,828,841,924,781,933,001,344,910,918,957,486,006,001,481,778,555,348,712,
109,182,071,536,329,538,181,781,847,184,343,410,204,160,095,322,040,200,777,
099,755,545,291,650,721,193,656,587,543,018,311,652,161,760,582,222,709,616,
877,302,089,729,788,365,187,543,656,744,696,347,476,416,682,968,568,476,311,
582,205,518,440,328,476,170,969,202,834,572,632,277,832,851,286,640,370,691,
826,033,838,373,287,164,856,050,116,901,200,300,218,443,971,400,947,005,867,
534,202,236,234,648,228,927,263,060,592,943,182,813,572,041,386,664,487,833,
598,116,044,569,140,118,273,463,199,031,366,100,627,142,684,743,280,860,545,
577,465,550,943,512,924,397,767,424,127,037,928,768,109,854,449,853,044,267,
453,840,797,319,961,243,394,360,492,235,417,321,024,926,646,396,468,379,215,
110,353,158,774,418,106,677,874,797,688,980,229,219,843,417,828,462,857,731,
672,336,269,279,748,478,797,652,046,456,218,612,001,340,313,236,332,142,409,
328,595,946,318,380,782,358,139,918,045,368,251,838,351,293,016,624,012,043,
283,218,982,216,390,240,422,502,864,960,591,673,445,313,324,803,621,523,792,
423,187,062,149,496,590,626,447,751,131,358,068,644,782,962,134,391,959,088,
145,439,735,078,446,840,059,603,635,978,922,348,728,586,779,677,337,411,314,
044,051,775,322,183,527,698,800,182,689,200,273,583,592,176,634,533,627,065,
120,305,945,590,107,558,359,630,177,853,523,499,989,487,227,145,248,277,890,
185,777,133,637,647,995,375,092,495,283,307,808,498,494,264,063,909,290,628,
329,882,585,933,307,616,092,453,050,188,202,800,164,418,920,825,626,775,522,
827,576,358,495,843,252,865,819,170,976,642,346,701,578,535,946,490,912,437,
053,998,936,382,879,808,435,072,569,165,882,690,201,235,307,716,136,767,533,
065,186,066,249,122,138,740,327,453,077,650,945,300,724,397,455,061,914,847,
624,647,443,264,357,010,451,394,490,116,674,781,469,810,857,124,734,393,257,
358,047,872,151,686,688,935,398,394,168,482,705,153,772,590,433,168,968,015,
848,062,326,227,153,747,386,472,660,451,027,475,913,435,671,029,626,362,938,
713,943,911,280,960,020,618,576,897,667,960,460,075,224,146,008,901,945,372,
017,333,211,533,608,988,083,332,552,626,928,681,428,950,159,391,825,398,087,
707,767,733,157,340,583,727,265,359,055,782,024,495,667,024,611,886,270,782,
209,863,669,449,569,253,674,264,635,731,690,948,806,859,690,858,312,608,328,
290,089,128,842,195,455,717,231,359,862,149,036,786,751,152,358,510,121,465,
347,229,806,767,364,200,760,416,199,633,287,967,156,645,343,890,404,299,947,
539,904,336,555,021,757,779,995,148,028,185,807,820,374,848,594,109,176,596,
602,510,483,666,755,885,086,069,374,944,850,057,262,002,002,977,036,204,482,
877,337,517,912,105,367,387,177,820,823,185,162,640,174,705,359,038,019,535,
714,308,566,937,816,097,024,850,423,543,340,696,611,578,228,432,241,408,662,
568,150,582,980,651,925,530,047,550,399,803,420,469,226,881,877,963,950,637,
274,004,243,217,051,714,881,741,550,028,490,085,250,321,848,246,879,828,799,
893,064,957,151,365,011,221,196,377,952,502,618,296,703,035,396,775,587,110,
813,934,264,576,730,838,159,043,928,471,896,804,704,226,050,289,750,272,720,
738,772,699,709,729,807,112,850,474,169,751,201,240,258,880,572,417,024,693,
598,490,334,776,339,350,039,434,949,933,924,879,187,956,098,757,187,377,334,
797,449,257,174,682,851,977,682,163,141,766,981,031,094,723,878,544,640,797,
719,650,920,189,058,450,057,788,479,099,648,277,832,075,477,265,950,595,531,
395,471,245,589,487,175,425,658,395,864,115,284,529,570,711,349,235,374,267,
269,313,138,057,390,988,884,078,039,463,681,082,278,008,238,256,080,165,527,
285,770,752,135,259,621,731,234,015,522,870,717,619,196,321,140,178,460,480,
292,303,766,776,626,992,255,245,609,043,827,726,886,401,269,304,155,211,210,
999,757,945,339,566,298,582,413,903,127,726,174,390,697,544,603,942,629,858,
515,498,844,450,185,866,438,642,627,081,291,583,116,182,851,674,153,160,644,
645,431,798,696,578,413,785,097,758,032,193,676,832,856,597,138,501,892,331,
605,218,544,422,229,280,659,819,015,562,998,076,293,284,002,608,720,761,645,
086,355,087,635,365,460,563,167,321,114,227,926,134,913,573,971,661,805,914,
567,199,593,462,787,029,899,420,523,629,078,821,840,973,525,552,692,280,590,
992,417,482,978,722,693,904,733,737,631,951,327,907,708,646,983,359,653,463,
640,502,633,016,608,802,187,523,154,366,497,245,620,307,349,202,904,527,195,
813,412,875,487,621,119,952,213,375,818,556,392,992,616,815,401,968,154,805,
071,284,996,680,016,301,565,682,839,038,808,570,657,361,897,408,271,305,822,
853,031,558,759,997,793,154,692,206,552,167,913,192,700,456,694,489,280,153,
424,481,648,870,794,321,689,212,586,024,052,088,820,645,424,219,041,542,639,
064,567,510,229,179,992,249,731,767,206,368,799,354,438,263,060,493,646,985,
072,427,728,508,666,766,008,011,026,012,922,931,819,476,053,474,517,875,946,
739,757,143,543,649,340,298,081,595,891,527,343,398,945,277,299,496,506,645,
443,000,188,059,383,931,709,352,639,589,890,364,041,854,353,168,723,393,026,
341,630,390,354,280,405,169,071,180,005,313,719,583,820,509,871,986,005,668,
915,372,622,031,969,409,615,518,522,181,873,597,840,502,597,779,493,193,463,
014,631,607,485,436,347,348,914,858,289,304,608,072,873,296,232,090,716,352,
827,639,975,133,919,996,601,997,310,369,379,789,204,108,102,092,805,135,583,
258,346,145,398,505,027,406,951,945,577,056,649,338,639,849,784,190,435,254,
909,397,451,364,658,318,418,048,093,616,796,325,728,903,643,712,251,164,364,
078,904,495,170,016,009,764,227,884,522,979,022,355,442,796,957,472,811,435,
795,069,564,105,573,205,051,923,859,377,417,311,438,112,664,826,710,851,500,
924,735,404,274,118,268,185,107,069,930,557,655,046,293,383,159,620,522,259,
768,171,086,658,848,549,009,306,521,767,201,642,059,793,113,574,598,430,417,
491,339,560,245,328,606,154,997,745,373,773,571,731,295,829,484,070,805,450,
099,978,007,920,461,271,657,481,997,689,951,656,236,232,989,957,655,038,382,
443,301,927,382,593,735,048,286,253,313,689,697,085,482,379,459,882,538,005,
001,844,740,524,519,221,782,029,813,658,931,318,066,954,501,385,751,607,598,
374,177,477,473,186,883,706,129,934,242,419,514,103,324,274,563,275,956,671,
429,841,527,456,269,718,785,399,496,688,569,072,222,077,996,644,499,197,282,
228,493,427,748,478,895,437,010,359,899,641,905,360,204,690,860,109,819,859,
873,611,981,239,552,774,501,599,014,234,829,623,097,430,031,945,326,050,556,
454,378,552,363,711,697,319,932,566,130,008,650,406,489,722,541,053,307,807,
538,917,096,268,112,600,263,706,343,847,020,394,216,902,235,616,451,308,223,
315,492,633,452,887,522,899,024,170,082,031,321,327,586,096,409,995,929,439,
940,529,153,595,804,551,218,618,995,269,309,185,941,672,738,703,325,170,233,
485,875,794,392,191,613,711,563,928,388,277,780,394,805,972,983,697,442,986,
607,126,451,679,379,799,519,341,671,975,421,831,864,658,024,916,867,965,239,
496,834,117,235,746,734,702,399,532,863,517,909,068,194,591,915,179,324,680,
058,010,610,303,593,049,851,889,433,040,373,782,089,201,648,064,386,876,273,
036,270,258,652,766,088,945,010,609,445,836,583,515,429,316,666,141,407,293,
135,817,854,098,576,646,970,711,325,829,707,296,449,890,915,903,086,925,652,
173,017,675,259,830,954,756,677,477,634,464,504,238,457,045,215,104,600,013,
255,085,367,182,127,563,926,392,424,928,583,757,609,539,051,691,830,493,990,
411,127,988,972,029,884,058,409,885,453,398,424,222,009,852,252,614,874,132,
905,681,674,644,122,802,674,826,821,713,348,653,529,307,305,385,703,549,081,
332,687,049,062,505,467,505,969,370,913,549,667,143,605,775,523,229,866,468,
215,405,174,610,839,091,536,064,403,266,587,925,471,468,586,168,790,229,658,
220,094,165,404,751,615,183,475,864,835,666,307,759,079,381,233,846,578,572,
338,866,997,001,473,060,054,576,948,167,167,143,587,188,280,868,070,586,317,
781,607,876,012,105,357,452,219,605,025,260,417,229,381,335,087,994,871,856,
111,952,471,826,004,246,102,376,000,645,370,362,781,421,489,370,483,271,409,
384,621,537,204,925,033,106,081,796,333,773,098,241,401,116,846,319,138,832,
859,968,588,162,347,603,238,637,141,116,474,860,662,388,329,556,893,088,741,
131,581,783,814,145,447,871,832,272,715,117,811,957,927,707,570,778,640,043,
435,847,117,271,849,378,450,459,003,768,429,847,505,198,331,638,693,279,327,
998,068,873,220,952,845,503,129,464,132,665,448,537,469,448,568,368,120,572,
848,478,131,224,140,324,186,253,512,705,869,180,289,368,862,852,887,792,828,
272,868,084,368,596,000,204,143,677,264,760,045,243,648,913,219,124,157,028,
176,251,902,092,899,321,023,811,258,729,280,252,494,082,564,540,023,963,269,
480,667,293,709,730,615,458,161,733,688,716,065,906,926,557,819,105,337,491,
568,003,549,173,739,825,748,009,100,082,734,429,319,571,121,004,417,907,717,
112,990,873,296,446,908,338,097,958,186,881,200,213,253,955,606,018,830,592,
800,296,720,615,335,087,361,258,583,210,795,845,963,429,181,797,229,417,607,
583,598,558,401,537,727,927,737,405,650,087,793,604,122,484,007,806,432,369,
751,917,807,753,608,215,809,756,562,967,884,552,115,765,279,160,826,345,574,
052,000,167,436,447,033,060,177,658,956,318,363,325,794,386,901,442,284,375,
840,317,966,611,574,069,008,942,835,364,865,005,350,524,347,237,468,250,083,
349,138,354,804,164,145,410,189,993,334,200,519,547,242,483,609,715,450,737,
687,620,081,554,062,254,774,495,237,630,957,531,171,233,422,542,206,637,107,
939,550,969,666,374,861,672,963,354,307,244,909,824,957,683,676,454,997,584,
005,337,205,198,051,002,643,145,273,650,835,799,975,973,555,537,780,413,733,
214,935,385,364,400,072,166,969,686,700,902,835,013,081,236,053,305,210,978,
218,742,509,633,661,655,538,771,664,240,979,668,036,606,220,778,788,015,580,
116,281,859,804,771,362,628,076,243,951,110,247,911,969,291,331,146,196,702,
257,691,810,036,058,457,132,654,690,892,854,030,519,268,780,002,360,747,402,
701,381,616,879,966,086,086,144,199,382,955,398,864,198,634,782,209,365,431,
861,033,333,626,894,459,840,783,952,115,724,539,881,704,704,584,625,161,424,
409,998,722,101,179,241,863,908,623,755,096,998,342,921,301,382,201,148,926,
417,056,664,951,877,862,620,913,125,913,526,411,028,995,563,187,834,361,819,
333,461,784,925,618,671,150,426,559,381,956,031,812,052,721,038,796,268,156,
517,149,712,051,172,024,540,091,440,884,287,196,588,563,078,260,875,424,698,
454,986,010,385,819,086,656,447,581,777,782,699,123,796,321,461,280,844,533,
168,938,996,620,624,037,952,871,202,253,009,452,076,942,172,640,661,197,801,
428,422,071,734,512,784,380,877,286,940,606,888,170,565,672,684,617,129,332,
293,507,048,807,460,109,939,793,627,269,084,122,520,936,128,846,709,368,962,
872,258,783,139,976,799,883,190,812,716,658,467,953,661,479,233,310,199,528,
218,730,846,326,475,435,819,507,602,396,140,982,270,213,698,665,062,004,161,
016,928,509,183,893,106,910,094,461,520,681,460,087,062,848,721,780,133,691,
059,416,662,512,942,511,711,116,370,021,722,925,188,929,080,874,728,554,276,
959,590,394,637,464,893,816,158,173,015,307,275,871,700,869,191,778,567,365,
241,044,396,685,543,094,923,808,866,083,425,766,299,360,021,990,414,869,357,
271,023,197,373,420,748,585,477,256,353,100,089,030,917,316,109,774,855,583,
139,349,072,560,494,625,133,398,908,225,742,130,535,243,166,163,268,983,925,
812,523,975,774,482,343,781,362,465,226,687,808,105,394,248,474,000,245,054,
583,886,645,978,257,613,313,078,769,846,832,444,017,083,413,093,948,030,367,
823,319,221,555,028,346,193,785,385,166,742,325,521,769,191,520,355,763,321,
938,568,761,580,253,108,124,243,913,364,674,234,698,359,236,549,880,520,278,
961,786,503,288,659,766,575,861,769,803,180,986,010,531,213,315,884,852,217,
242,965,995,095,010,020,798,946,201,259,116,773,466,537,728,732,954,889,794,
462,045,998,711,854,288,972,407,641,222,517,971,226,961,453,312,448,794,926,
748,895,309,085,508,306,031,270,997,064,988,492,859,175,118,358,146,086,297,
852,768,927,577,224,260,358,278,422,378,997,823,233,037,476,399,642,401,745,
403,153,911,133,834,676,866,423,398,261,230,575,892,485,882,127,781,849,079,
678,685,642,243,385,597,622,479,718,074,298,384,495,623,831,524,462,575,211,
233,297,181,545,750,048,139,201,652,260,478,895,189,097,894,852,839,220,908,
907,888,077,159,630,873,535,020,631,058,073,078,312,055,611,837,132,526,534,
742,980,885,396,685,483,167,147,035,618,560,744,280,355,751,249,056,979,520,
165,844,838,661,409,371,103,233,277,734,474,807,021,747,482,726,434,197,943,
572,770,980,513,544,860,432,155,468,568,582,693,610,195,739,202,945,008,931,
536,314,166,885,397,802,401,599,053,531,097,329,007,214,612,436,748,919,688,
621,862,871,977,567,739,423,572,017,249,117,821,445,808,430,465,095,585,848,
670,577,313,476,726,515,334,692,954,487,124,484,215,290,662,909,054,566,859,
060,448,734,287,580,531,708,430,253,498,688,945,904,435,746,059,542,591,316,
042,487,820,029,317,024,309,601,494,679,971,494,959,427,636,690,985,737,793,
318,484,078,902,327,685,327,721,331,646,064,302,424,967,425,527,166,619,369,
500,252,001,009,188,430,810,963,903,725,991,363,535,573,981,173,335,810,195,
161,215,433,120,377,638,323,273,023,626,178,298,769,387,920,787,431,494,388,
393,327,940,298,167,779,407,971,047,924,402,713,126,230,923,006,630,125,514,
865,302,822,901,908,327,132,845,771,437,404,656,818,319,535,115,783,158,178,
168,486,729,839,564,834,042,504,692,256,013,032,090,428,642,045,161,292,224,
273,891,926,214,030,422,484,924,331,441,354,573,009,294,851,810,450,971,212,
503,365,392,049,842,282,847,535,584,120,370,722,456,756,594,155,665,341,626,
962,793,623,304,350,172,453,612,347,033,305,096,504,667,402,316,390,091,210,
840,630,823,830,046,140,185,400,282,315,595,581,800,476,395,596,277,686,198,
974,344,218,833,673,476,491,774,612,552,980,237,752,468,417,472,639,465,762,
409,931,555,509,143,741,029,790,607,091,971,612,621,156,212,229,045,230,577,
715,939,983,981,273,833,639,653,350,495,240,581,144,901,139,486,218,428,029,
511,311,773,041,183,148,459,775,316,715,592,071,128,903,582,203,288,725,840,
815,741,691,365,050,752,846,219,497,224,258,186,353,683,477,206,354,341,922,
131,620,340,995,664,997,036,585,334,424,848,796,063,410,425,639,373,083,307,
298,808,544,057,151,467,894,187,894,616,291,133,600,010,579,707,032,552,529,
094,400,563,141,291,621,945,770,160,071,380,656,275,501,843,203,032,572,159,
806,590,652,005,533,077,506,487,274,928,314,871,390,485,234,273,337,778,119,
592,389,630,043,079,841,244,502,650,431,482,183,260,576,509,589,174,895,566,
976,797,229,712,709,792,044,093,770,885,441,132,119,459,510,496,649,332,665,
269,523,280,001,425,782,447,704,079,062,639,059,362,408,735,808,539,414,709,
342,586,871,741,725,007,845,543,810,430,340,637,132,699,282,975,273,557,747,
117,464,164,439,873,579,721,912,239,504,813,903,775,314,094,312,614,002,973,
703,303,438,037,280,105,588,935,094,266,257,276,624,086,072,399,535,935,963,
565,228,536,564,981,551,865,646,720,951,191,227,434,209,118,957,055,820,601,
623,895,420,465,813,016,869,128,051,919,267,209,872,702,003,710,070,487,418,
480,709,861,841,708,700,757,757,205,694,361,565,143,569,645,113,780,978,296,
812,494,128,654,543,583,089,054,064,772,547,479,233,121,020,795,757,669,161,
835,834,699,316,337,173,571,418,524,170,334,241,170,781,754,642,233,305,182,
961,631,341,481,966,640,057,370,222,417,385,161,565,414,359,505,086,010,720,
528,194,304,587,308,811,148,560,530,021,182,106,176,265,850,158,594,415,640,
407,444,218,486,598,761,485,923,817,181,245,828,462,865,715,289,895,021,017,
987,370,181,706,920,932,036,038,198,133,496,681,275,831,876,456,722,209,709,
502,866,636,067,912,814,313,324,419,171,134,305,222,982,844,549,084,518,586,
456,866,817,936,988,567,643,879,081,087,479,853,260,786,107,049,382,488,685,
985,146,711,371,606,577,644,568,872,384,206,895,516,229,188,118,791,784,438,
771,435,338,688,226,903,530,595,849,895,902,095,430,938,892,551,006,348,927,
079,264,121,299,516,661,804,082,071,651,920,985,726,129,184,290,757,623,620,
708,371,769,455,995,459,734,541,855,489,491,760,275,092,469,603,543,633,852,
048,242,167,153,378,678,774,310,516,265,935,215,334,132,802,678,156,678,424,
469,630,896,102,124,690,190,378,003,437,535,061,349,763,991,334,614,429,371,
356,031,923,825,697,445,651,034,352,781,055,562,643,007,373,010,710,003,900,
499,682,411,755,312,831,386,594,396,214,184,620,182,298,121,239,547,289,459,
233,790,946,538,777,262,124,135,017,334,983,563,399,229,925,111,802,353,194,
927,084,477,644,008,102,513,115,508,411,653,265,676,199,264,746,013,038,854,
338,935,741,077,484,703,697,468,819,671,552,220,596,740,144,049,901,626,341,
110,460,445,719,783,397,125,093,631,613,557,598,727,314,058,511,052,315,873,
345,162,821,501,077,056,390,885,744,212,209,754,500,774,402,603,325,004,300,
161,731,702,430,568,484,761,486,560,408,213,425,611,739,046,775,299,683,199,
712,472,249,066,174,746,171,757,199,416,311,371,092,237,830,519,065,447,394,
363,855,128,869,552,863,405,280,634,705,748,211,668,809,477,567,042,182,612,
904,740,212,110,033,733,264,875,448,316,104,225,798,540,259,497,006,694,198,
933,719,253,004,046,850,012,400,167,311,254,035,740,364,118,027,606,385,098,
189,327,299,934,216,876,359,349,534,062,529,568,342,912,309,367,315,861,849,
690,641,612,684,923,869,805,993,088,566,230,533,625,215,914,015,785,152,206,
225,322,922,394,320,548,981,127,005,257,737,079,097,689,845,163,342,702,726,
365,312,551,168,788,713,087,755,608,920,113,219,847,172,790,831,889,728,299,
048,395,240,142,730,024,227,816,450,135,007,475,170,213,922,027,002,031,706,
021,724,544,789,519,692,315,626,703,418,613,730,574,361,464,316,787,621,528,
868,407,887,138,603,485,518,548,074,586,782,999,082,394,241,044,162,669,875,
857,449,535,670,928,103,567,370,177,207,995,265,385,673,784,385,415,119,172,
032,343,193,464,558,285,697,108,596,789,605,440,111,593,919,673,224,034,387,
507,479,420,920,314,098,957,076,645,888,106,064,734,483,791,412,959,425,093,
484,231,324,317,774,764,478,552,291,184,693,446,028,835,721,342,898,266,052,
209,642,936,452,351,916,812,427,237,793,389,906,085,698,554,617,736,838,360,
932,080,313,735,716,790,465,455,023,551,244,540,339,043,765,389,867,276,117,
602,691,740,625,048,292,637,065,170,008,131,691,577,586,153,742,089,170,198,
665,419,728,822,791,118,653,929,703,943,254,437,399,390,481,696,702,544,747,
897,645,894,819,025,126,112,132,787,753,881,073,447,554,204,366,394,478,212,
229,290,264,324,348,418,855,234,369,468,789,873,433,815,411,643,736,698,884,
607,457,005,495,716,639,707,811,962,560,476,100,480,279,889,399,684,123,512,
698,210,927,023,376,781,962,183,692,111,437,438,094,205,675,481,318,294,350,
858,591,428,500,049,518,858,485,049,528,738,770,938,405,110,931,517,506,677,
418,378,439,703,189,549,936,610,625,385,317,946,262,038,869,063,713,802,234,
795,037,232,505,376,698,734,665,295,431,297,933,071,843,813,734,780,036,106,
431,067,786,409,844,342,006,864,027,251,928,683,971,079,948,026,693,313,419,
371,439,595,346,606,005,474,395,457,054,882,437,896,384,140,717,842,662,757,
609,180,309,752,696,028,108,557,276,531,344,306,898,678,963,473,333,432,512,
041,584,759,375,692,754,097,723,318,027,834,495,303,428,605,977,096,653,239,
064,875,080,849,914,258,085,029,711,428,852,147,562,135,840,577,529,153,290,
753,905,363,727,733,096,027,882,599,196,464,871,478,256,030,266,531,841,066,
050,836,619,787,240,804,274,416,792,350,973,119,423,147,911,852,843,054,244,
892,776,327,265,227,702,188,542,912,666,181,571,133,328,247,190,437,888,240,
442,885,567,916,793,510,379,603,448,050,749,385,989,967,798,836,726,486,268,
655,034,156,597,664,849,785,540,085,256,725,128,459,064,528,936,761,643,528,
287,752,508,829,962,619,931,102,773,402,810,647,266,085,093,139,010,697,253,
730,232,568,128,959,434,537,868,825,303,400,549,451,858,403,521,596,065,774,
611,302,470,551,143,955,450,850,230,546,232,496,783,267,410,304,314,297,229,
793,297,384,499,903,986,504,682,536,597,810,957,095,414,490,990,469,310,365,
847,485,043,964,366,427,613,959,377,142,813,384,813,640,460,362,265,112,239,
256,014,648,589,031,165,578,420,350,011,899,422,562,250,498,722,190,657,064,
909,539,818,541,592,594,101,209,944,332,489,960,354,337,142,329,102,620,565,
087,659,156,749,226,665,911,408,959,283,671,565,987,447,174,202,502,607,194,
861,648,574,084,756,141,042,304,290,917,524,139,077,931,563,959,584,565,599,
858,894,684,852,995,774,193,539,464,500,185,055,847,910,802,608,525,588,585,
515,357,844,282,441,553,816,706,977,945,208,263,523,872,944,410,650,026,270,
325,623,422,426,480,228,741,540,531,709,208,890,474,713,072,470,902,445,884,
949,299,430,974,666,354,227,726,052,107,496,442,424,102,296,110,478,629,203,
333,356,274,465,907,656,768,123,788,396,921,316,127,989,223,644,060,775,317,
118,207,875,917,689,059,433,922,130,531,313,188,254,372,605,531,212,990,257,
522,577,080,628,456,096,168,215,541,936,560,817,892,829,244,768,047,831,208,
575,119,230,725,774,080,932,153,293,099,955,015,700,650,664,323,682,927,490,
356,664,542,566,446,929,687,050,411,868,269,232,265,152,369,966,249,043,081,
313,726,949,859,165,481,754,907,587,313,648,955,872,866,481,631,881,781,873,
460,457,578,021,378,829,740,694,659,800,237,070,910,352,775,443,483,238,047,
285,444,752,452,626,890,044,016,636,109,897,989,156,895,163,362,867,867,296,
583,564,327,845,170,872,291,178,218,391,095,468,639,795,878,198,745,324,700,
998,075,850,205,733,437,204,684,676,206,409,558,079,967,281,632,781,135,830,
386,058,026,244,817,511,132,326,650,058,211,201,491,610,824,146,051,960,384,
698,579,675,584,504,781,296,334,940,565,558,374,721,079,775,995,683,930,753,
067,814,886,647,334,905,509,947,191,478,145,916,097,266,324,100,376,647,705,
175,644,599,072,037,231,712,002,829,207,344,130,040,188,605,267,456,797,437,
297,462,457,767,058,871,248,748,806,279,062,302,216,187,133,945,362,389,148,
021,229,212,825,384,324,804,948,056,438,271,745,065,650,317,835,874,895,081,
197,234,184,135,123,788,899,549,998,152,751,169,001,078,768,789,633,014,320,
517,178,181,108,761,349,485,027,495,140,325,753,512,958,333,272,929,348,761,
851,971,824,844,552,626,992,118,996,605,573,499,671,261,973,771,911,452,142,
513,058,605,432,495,085,141,121,595,721,793,570,014,370,419,003,002,361,997,
591,990,781,328,725,031,556,328,244,595,323,779,921,727,965,458,178,895,903,
244,089,221,383,312,874,967,734,658,514,707,837,984,935,583,851,243,575,785,
286,117,937,119,095,761,159,380,631,424,930,242,025,418,762,335,154,382,546,
874,946,029,056,835,466,072,992,905,814,528,386,973,214,943,546,912,504,073,
645,849,063,247,341,099,399,562,601,280,712,834,671,735,546,025,110,120,492,
644,663,097,689,299,278,225,771,504,685,548,513,373,484,898,530,790,049,770,
823,903,395,169,441,245,081,785,316,059,071,218,613,684,558,394,828,835,545,
749,593,678,105,934,064,543,691,366,587,341,161,295,559,918,293,497,567,292,
135,071,931,416,254,668,314,061,909,108,710,807,764,318,525,515,830,068,093,
303,545,320,306,058,732,574,957,615,316,821,404,144,538,050,267,983,642,177,
876,408,981,290,610,542,990,801,256,013,845,633,415,371,038,101,019,107,286,
474,841,949,568,381,124,388,032,694,275,688,006,238,505,954,886,852,963,248,
434,108,149,751,568,582,070,674,540,996,991,449,476,529,860,576,560,323,849,
854,076,597,418,732,823,107,192,944,553,362,757,872,433,155,281,436,867,382,
360,002,183,502,218,395,444,229,925,350,504,788,749,980,965,755,027,392,001,
318,608,544,853,904,080,843,113,793,357,572,968,065,583,508,273,800,056,073,
923,715,199,557,442,476,514,453,652,430,625,950,160,890,854,650,709,378,978,
274,584,959,358,985,790,617,825,504,747,710,396,476,607,488,828,990,152,929,
604,287,762,161,615,382,547,386,903,067,695,352,624,534,482,299,359,671,648,
159,858,574,194,942,283,045,874,488,530,587,830,912,990,706,213,961,395,596,
735,504,811,384,918,449,608,884,736,606,900,769,859,060,504,044,788,539,674,
286,411,605,136,262,379,952,890,315,886,799,978,728,199,538,146,165,703,536,
272,313,009,195,586,749,573,397,537,912,430,295,571,799,479,170,325,502,403,
378,291,463,828,260,436,191,650,968,770,949,340,490,414,671,601,692,532,217,
395,504,082,540,782,756,795,243,607,995,267,022,642,409,190,906,696,148,006,
301,081,569,481,971,009,533,211,738,609,123,738,628,396,614,084,181,935,549,
476,518,604,541,254,061,825,616,294,565,152,360,446,342,400,860,318,076,451,
588,023,959,280,008,168,811,495,595,248,628,595,629,455,404,921,307,846,617,
280,995,204,052,125,656,497,721,776,243,893,639,503,122,166,623,858,049,908,
813,088,782,016,762,875,354,947,067,301,733,045,070,227,639,658,130,367,445,
527,106,711,858,676,619,059,748,862,739,885,144,478,567,839,491,094,443,657,
606,652,514,174,791,397,006,667,453,410,837,446,436,660,607,931,425,156,567,
888,855,950,081,662,626,478,328,463,713,916,565,543,227,876,351,474,640,890,
726,597,112,953,542,505,184,457,115,409,129,473,091,050,759,137,499,321,357,
685,860,134,722,501,643,402,036,877,993,404,504,162,372,092,561,425,827,222,
606,605,267,107,280,242,401,452,379,735,816,085,268,750,026,515,882,176,527,
310,756,951,411,831,284,844,067,114,867,833,175,813,156,941,669,588,401,028,
112,505,199,051,674,874,163,609,273,905,673,796,760,239,804,938,780,795,144,
657,036,274,502,238,264,788,334,012,382,800,678,785,528,448,531,934,829,121,
489,843,345,559,033,985,711,660,247,608,990,158,208,566,471,572,257,333,152,
242,735,804,793,219,575,170,409,430,965,828,730,502,556,590,443,287,611,343,
146,127,277,634,394,618,906,558,881,705,292,047,009,479,244,344,663,640,941,
615,600,764,529,382,390,471,343,241,824,232,551,695,163,122,376,675,010,272,
768,490,912,764,591,382,736,401,482,761,979,981,029,899,024,074,361,957,422,
871,204,012,753,460,861,874,546,223,014,260,792,444,779,099,202,157,498,476,
089,140,532,380,483,482,862,987,887,298,495,068,663,581,487,021,611,423,519,
491,518,997,195,158,072,983,883,488,063,794,975,296,165,597,911,157,937,931,
996,851,895,577,810,618,530,699,259,517,751,175,332,474,473,021,085,949,032,
880,443,165,290,958,014,474,454,612,949,404,096,841,808,826,431,014,064,629,
656,182,038,427,977,554,082,680,789,669,949,792,580,742,933,769,592,057,372,
275,115,364,491,899,318,673,020,156,781,417,890,032,300,475,493,949,917,728,
614,235,124,712,857,920,459,715,575,781,796,790,133,367,677,358,158,805,442,
348,504,262,942,542,459,556,651,018,485,522,596,379,523,333,394,880,321,041,
624,052,763,905,090,137,537,136,579,777,170,738,403,769,201,271,966,117,798,
138,333,262,128,935,246,506,340,684,548,968,109,512,940,200,141,255,120,882,
124,324,999,380,617,508,614,083,224,233,769,989,933,414,901,537,820,609,072,
694,418,037,298,317,108,020,241,877,479,024,821,172,085,981,759,086,144,382,
393,260,036,488,180,999,571,469,662,992,274,527,285,953,753,206,880,280,893,
292,555,938,194,319,089,988,565,910,682,116,579,542,284,507,048,682,938,771,
854,806,587,994,147,973,326,306,456,083,286,660,457,610,808,249,695,286,154,
208,198,274,848,843,894,647,886,970,778,756,027,408,948,761,836,733,344,828,
266,887,303,318,340,190,543,618,711,337,124,966,413,244,955,513,904,882,999,
908,829,611,110,347,358,093,202,398,938,855,931,279,058,918,218,788,720,971,
992,604,308,132,353,966,035,236,863,027,590,171,284,173,524,565,605,937,131,
276,594,816,266,432,368,180,117,051,919,902,748,476,433,371,237,029,230,564,
541,164,048,692,295,487,330,410,297,514,873,202,785,375,603,046,711,222,118,
691,682,400,413,611,540,353,463,883,823,580,457,962,476,361,876,960,084,667,
563,613,373,756,797,532,220,380,210,869,795,109,337,448,033,293,892,187,181,
618,365,258,623,477,242,377,040,589,140,240,729,692,654,306,309,660,989,326,
453,571,462,505,710,732,973,703,618,039,248,563,565,986,164,201,367,632,911,
553,886,827,390,875,652,171,129,216,889,928,555,616,054,204,068,575,486,626,
818,688,749,092,623,634,901,820,144,322,990,283,620,172,620,824,844,948,968,
445,599,743,809,046,841,160,931,944,826,065,957,905,698,124,321,666,841,002,
582,416,115,739,260,095,293,869,556,748,283,429,444,306,271,111,109,097,791,
117,972,292,398,737,695,538,302,326,303,168,220,554,015,648,680,882,635,945,
491,870,198,220,129,201,693,999,612,100,702,471,722,742,580,932,922,174,875,
590,013,150,458,081,170,990,741,072,676,719,362,282,793,979,323,534,003,730,
289,018,742,470,846,174,107,954,821,030,711,763,060,295,591,245,063,171,391,
264,958,671,208,543,146,095,936,595,372,113,557,537,697,952,937,491,410,981,
602,057,331,312,214,127,858,204,478,942,132,037,737,244,988,819,572,513,003,
377,573,731,232,488,022,540,239,240,426,059,706,255,009,395,577,901,984,983,
186,949,099,653,778,511,843,724,246,989,761,318,191,251,300,233,744,669,021,
120,949,364,417,679,735,000,022,012,094,065,230,392,686,778,861,492,925,709,
635,543,444,694,800,015,383,216,161,977,219,010,109,412,055,028,110,807,401,
410,627,849,009,654,042,397,584,482,623,035,991,301,710,130,589,508,150,476,
793,524,637,274,605,058,370,689,113,650,151,330,691,824,627,344,587,717,460,
734,661,430,833,883,841,136,199,938,896,485,392,834,506,173,151,132,979,615,
536,579,394,310,239,571,337,588,921,717,696,350,275,108,460,568,301,744,620,
116,002,561,326,800,822,788,593,684,082,515,274,324,760,978,000,267,955,590,
082,325,606,933,335,547,465,908,050,432,750,467,478,348,266,200,390,080,537,
207,376,557,506,383,427,295,008,937,829,231,498,191,870,474,239,547,833,706,
226,037,722,470,510,457,913,035,979,212,877,742,929,098,067,726,317,825,872,
244,349,646,812,089,566,808,490,285,425,910,289,392,456,348,607,889,924,269,
024,916,860,012,836,417,909,319,594,213,554,055,389,074,091,696,571,221,459,
061,246,437,368,287,727,728,047,094,382,132,468,183,380,039,911,768,715,097,
020,416,182,498,428,215,144,931,095,313,340,875,083,526,859,674,465,023,960,
184,458,601,928,628,054,214,578,215,812,013,587,796,077,747,867,761,481,197,
349,383,510,846,399,129,294,442,587,298,627,194,192,113,192,425,860,655,081,
024,709,198,548,839,596,719,684,501,521,924,052,186,100,337,841,523,970,274,
145,478,264,144,576,499,100,290,352,969,143,489,192,808,579,617,305,283,484,
545,254,969,864,827,885,026,406,940,988,045,100,742,681,754,360,496,692,979,
539,186,184,432,464,200,060,236,218,623,520,976,730,062,128,046,659,872,321,
435,735,220,503,631,839,628,296,180,841,187,354,535,321,026,593,447,211,071,
033,726,625,323,353,608,033,098,403,227,470,460,265,766,463,615,709,706,956,
387,077,311,860,133,295,868,640,493,786,633,810,207,277,577,609,372,961,909,
282,274,162,862,270,984,294,826,452,118,642,063,493,917,884,819,183,157,026,
538,611,009,914,523,687,739,635,977,713,017,063,363,236,448,081,014,408,827,
233,152,783,047,590,579,618,628,159,061,879,653,403,416,427,249,163,042,650,
445,088,938,911,923,747,763,203,618,490,414,201,217,960,540,594,615,874,163,
499,421,133,378,407,288,953,861,340,316,740,595,039,533,947,351,948,515,652,
491,235,250,677,029,420,124,655,010,217,072,276,436,019,735,262,702,274,287,
090,689,654,174,379,589,735,956,176,797,452,097,230,554,313,206,600,000,339,
328,758,334,367,418,892,369,680,614,750,416,379,706,129,875,003,981,839,981,
546,757,924,059,789,483,993,801,055,187,123,779,066,596,196,001,175,628,046,
998,697,225,916,592,641,743,927,015,548,522,079,817,427,976,562,899,720,837,
915,589,970,584,955,628,971,877,706,943,566,330,427,329,266,328,809,259,975,
326,105,245,146,392,231,374,940,662,508,962,499,597,334,616,054,105,668,678,
867,943,457,135,053,316,464,842,558,847,261,669,941,846,409,507,682,542,080,
185,283,807,835,227,562,144,531,868,312,692,405,749,348,509,527,982,149,430,
634,517,624,794,260,653,377,060,508,759,898,775,502,179,569,118,717,270,667,
555,885,774,848,484,802,434,245,315,121,198,511,706,778,053,470,260,786,588,
879,149,061,155,952,285,075,719,413,398,024,723,959,763,367,507,453,792,847,
434,289,021,171,087,342,188,202,587,816,135,982,334,973,834,766,753,794,747,
391,690,044,368,188,780,197,087,124,264,703,321,586,849,157,109,788,230,698,
766,728,613,266,690,406,353,519,147,975,921,025,366,299,597,528,677,443,322,
830,731,385,000,992,649,027,828,944,139,266,349,133,630,589,739,077,897,159,
022,413,925,650,175,834,613,909,375,774,481,261,231,807,688,977,044,066,718,
342,964,500,934,860,766,411,143,022,784,369,341,107,152,408,796,178,789,450,
151,322,208,040,767,522,775,431,296,763,005,119,519,846,844,093,188,421,730,
575,005,349,344,918,877,590,483,109,662,912,845,824,871,993,683,628,015,433,
339,603,460,249,882,161,444,435,083,196,868,436,388,132,631,366,486,058,200,
684,050,138,399,420,574,052,933,100,792,283,033,158,036,772,528,241,241,003,
080,849,172,062,472,668,119,435,866,691,886,845,496,874,457,424,649,909,430,
658,751,242,210,864,433,021,072,034,664,445,781,538,524,193,130,324,119,246,
886,023,097,288,056,687,752,142,731,192,608,702,330,397,114,138,721,096,890,
102,391,942,655,175,311,164,909,937,882,861,306,973,751,926,863,838,377,671,
017,923,680,687,297,418,902,566,106,216,360,925,106,128,012,608,578,228,610,
820,808,951,141,595,080,275,448,208,719,195,081,200,178,324,682,620,798,527,
690,031,139,353,073,767,590,164,853,251,527,245,929,651,703,437,047,066,152,
119,432,852,067,923,618,154,998,144,106,414,580,798,051,773,591,187,413,159,
688,372,271,522,404,132,104,002,235,880,556,937,019,636,787,723,173,067,158,
744,758,744,987,286,483,051,456,030,712,702,156,312,496,438,329,848,722,735,
125,565,619,489,185,754,266,792,411,847,091,479,090,123,174,305,677,812,392,
507,432,627,341,319,904,391,805,799,151,913,448,275,054,862,339,820,039,703,
216,229,211,589,390,740,800,163,592,334,658,049,879,726,041,139,208,948,386,
303,752,583,340,515,258,428,527,362,083,005,206,489,233,190,469,283,435,678,
862,209,624,498,861,223,100,307,098,094,364,536,006,257,041,036,510,734,703,
689,586,307,384,306,661,755,711,101,558,079,088,695,434,067,785,344,035,923,
028,072,322,811,168,066,280,560,273,423,493,872,502,659,563,538,346,160,902,
534,284,683,069,252,369,216,364,522,504,767,935,606,272,931,781,689,178,741,
016,231,007,581,690,685,258,913,879,206,003,188,965,868,104,282,743,237,500,
084,134,812,381,676,501,232,860,253,124,139,306,865,671,675,546,900,065,772,
699,305,210,838,133,433,155,570,625,195,272,261,303,482,502,524,096,539,707,
609,176,373,994,229,876,498,828,496,158,013,133,895,183,348,674,509,110,982,
259,099,788,124,644,798,920,773,322,607,103,873,843,160,167,049,293,524,363,
714,696,938,716,427,668,927,909,019,948,901,452,000,263,095,727,765,819,587,
092,905,865,738,997,824,675,113,403,119,616,737,384,621,352,235,621,359,791,
779,143,860,231,154,517,819,073,484,437,868,771,546,883,451,868,283,698,142,
383,757,850,518,360,614,552,068,328,185,682,304,735,938,934,938,012,944,295,
682,126,056,217,807,232,611,407,001,025,645,006,164,436,536,510,571,979,608,
528,969,076,685,153,222,751,512,426,826,506,663,329,028,785,972,592,634,399,
255,641,364,624,173,324,055,959,259,330,612,415,481,222,524,611,849,035,434,
932,373,910,966,860,837,743,245,166,518,389,118,791,987,126,423,186,686,911,
270,682,906,056,843,620,293,630,446,152,454,082,950,058,890,211,827,710,291,
455,429,637,991,961,963,986,378,197,766,442,529,771,614,220,507,129,589,342,
120,113,978,074,971,879,204,631,520,578,322,041,895,496,807,726,400,894,021,
842,731,003,469,941,841,913,849,298,423,583,127,358,874,813,124,027,776,467,
223,842,114,383,542,618,044,321,648,473,109,591,038,426,840,549,519,634,431,
679,527,411,192,328,836,684,199,393,209,698,972,122,523,286,722,211,631,894,
096,983,858,463,254,689,572,576,226,500,196,846,261,116,947,747,945,459,944,
755,660,723,674,196,068,795,845,567,260,894,169,052,854,375,418,173,552,057,
777,858,675,815,246,101,093,924,373,916,566,115,640,114,343,900,055,425,180,
737,206,170,106,738,772,295,971,429,490,661,820,304,550,619,382,707,282,997,
763,512,875,256,580,902,909,577,121,878,063,191,403,412,987,357,993,092,647,
547,344,999,386,958,597,208,390,160,785,676,172,819,189,311,992,423,116,966,
144,590,952,763,145,258,984,944,734,457,807,109,031,550,685,042,525,355,033,
106,176,182,701,671,382,701,781,001,249,451,439,806,287,714,037,413,814,162,
097,895,441,675,772,223,832,020,003,017,595,305,853,902,709,827,623,794,833,
373,899,901,457,370,968,425,341,618,693,483,157,834,367,369,359,228,416,449,
502,386,720,742,717,483,964,109,329,172,724,526,526,851,764,378,282,046,662,
545,582,333,389,109,706,074,061,749,295,446,966,501,956,383,645,675,406,158,
317,778,303,591,139,646,217,121,414,157,773,748,097,664,917,768,901,921,278,
742,347,375,344,566,357,671,744,194,629,107,334,565,768,676,426,873,604,150,
229,323,774,657,066,625,490,147,946,823,879,028,921,949,973,438,318,681,636,
816,689,241,056,159,569,737,949,110,841,532,210,088,257,942,148,752,904,901,
994,774,773,985,313,418,369,883,121,639,344,439,418,869,363,870,905,952,568,
846,114,350,127,400,805,196,269,892,440,932,951,917,784,981,092,426,213,600,
782,616,265,280,839,497,556,145,290,746,825,641,388,729,917,519,141,035,205,
288,497,211,028,607,754,599,203,885,523,438,232,808,964,877,502,845,227,523,
364,702,267,999,383,460,169,430,568,151,928,463,760,090,058,633,023,560,879,
172,444,514,934,641,001,536,641,361,697,908,963,103,606,156,809,757,440,923,
854,828,591,982,665,289,056,925,775,219,175,855,343,561,069,687,198,024,464,
180,390,161,144,386,245,026,841,688,701,259,275,156,660,256,070,923,142,316,
379,744,972,942,593,065,169,026,091,938,431,914,705,098,810,360,120,838,041,
776,100,491,734,827,557,502,748,762,077,737,576,948,520,592,399,599,362,302,
134,827,200,147,340,233,081,087,180,618,978,408,948,205,516,494,766,094,471,
228,623,970,186,186,190,351,811,299,392,189,191,743,345,210,396,947,857,015,
571,108,147,052,232,566,131,760,876,649,815,886,212,345,730,684,627,652,393,
404,115,476,148,167,504,229,561,965,943,594,805,652,913,118,364,495,162,591,
561,681,625,300,973,578,404,149,412,109,408,345,759,417,738,813,031,406,230,
927,751,833,354,178,869,402,931,662,907,706,216,409,488,629,773,050,688,441,
898,101,007,562,937,606,962,918,793,744,366,800,456,397,292,268,553,540,877,
495,004,103,181,420,471,799,720,756,169,515,716,957,769,321,965,257,801,013,
739,457,718,915,189,305,501,614,185,048,602,185,901,309,935,086,120,405,111,
394,543,527,924,614,934,742,147,423,400,431,893,270,653,888,886,213,858,231,
718,953,641,209,462,147,132,614,784,929,580,782,541,913,927,373,654,237,157,
520,836,811,112,698,145,111,246,440,082,975,321,162,673,485,895,606,654,968,
932,906,149,955,149,221,557,223,744,358,912,509,999,679,373,547,994,261,979,
810,499,679,742,911,063,086,376,755,708,007,698,098,190,350,033,888,387,752,
052,137,938,188,140,704,455,563,413,525,543,964,261,006,161,944,549,945,642,
428,962,886,072,675,958,913,190,435,603,044,676,705,279,416,000,077,406,082,
453,266,924,858,658,722,045,478,767,590,155,088,866,250,844,752,162,213,562,
455,881,567,148,452,708,646,807,057,779,906,753,074,464,394,843,848,081,407,
073,129,307,875,530,021,038,733,465,526,243,409,344,253,981,198,403,195,215,
567,350,898,604,193,929,990,860,113,809,916,892,501,980,819,055,753,106,969,
631,619,416,458,568,004,691,531,539,612,202,850,591,483,489,462,554,725,679,
442,952,304,908,969,045,863,350,361,153,548,114,776,924,897,573,493,724,339,
345,425,850,166,746,136,930,164,883,917,607,812,698,664,812,934,275,115,716,
352,508,336,287,762,909,742,590,306,894,793,323,235,487,068,605,639,215,363,
921,554,896,069,380,198,733,249,722,452,122,323,374,854,752,950,387,208,269,
463,548,960,696,608,062,165,711,537,857,559,833,149,805,378,397,683,127,041,
612,289,764,340,673,403,831,327,002,032,624,841,464,741,124,111,310,607,365,
147,484,520,375,695,168,673,637,712,473,407,167,166,016,216,406,521,929,696,
881,612,081,173,430,879,504,957,291,843,241,595,862,058,114,025,701,307,440,
087,502,012,585,682,702,054,291,082,234,984,252,581,515,137,439,442,432,403,
051,670,111,880,651,461,383,685,562,872,870,318,096,548,562,829,160,042,046,
542,014,275,753,082,838,899,891,890,684,398,795,216,635,853,704,609,947,267,
170,003,947,829,826,500,799,249,720,290,577,246,640,131,013,573,858,095,659,
872,667,555,662,064,370,174,041,417,497,294,338,565,998,537,986,360,749,799,
601,452,964,601,562,261,539,685,746,454,965,819,092,783,871,512,839,848,917,
322,235,598,391,361,012,947,351,918,701,908,504,334,671,974,843,967,540,749,
850,875,338,166,265,676,123,280,035,050,093,764,287,838,102,446,380,970,543,
643,966,228,311,578,802,793,922,916,920,862,915,047,768,834,329,934,314,094,
927,032,384,179,067,170,103,431,184,866,484,009,588,239,233,831,639,984,085,
956,053,210,605,024,571,875,619,519,803,868,398,856,512,095,606,381,348,955,
491,338,782,734,539,043,364,911,469,019,354,824,750,243,996,734,936,301,132,
880,519,097,130,169,135,112,180,198,173,119,140,961,482,242,702,045,987,288,
354,538,023,124,060,725,254,246,720,828,456,641,993,091,285,991,674,746,313,
160,996,904,253,988,226,898,252,287,536,630,402,813,250,814,460,014,263,131,
371,392,358,692,474,771,514,201,914,445,639,697,226,148,944,615,766,105,409,
287,707,994,018,699,463,310,295,982,578,450,196,716,016,655,620,792,716,457,
964,694,591,081,790,050,097,496,247,100,417,024,327,709,281,430,423,700,479,
261,253,574,859,237,946,468,588,016,476,989,459,628,473,218,768,126,629,095,
303,017,925,191,354,435,020,170,291,764,180,215,109,361,240,123,931,991,918,
489,854,003,052,289,627,832,191,249,088,101,545,378,722,350,575,822,053,666,
070,286,624,576,585,888,596,946,802,894,688,281,831,541,619,541,568,612,822,
075,098,612,463,278,235,014,032,334,902,967,077,567,549,872,234,315,344,519,
831,360,747,843,618,910,754,543,903,624,949,517,936,434,533,390,993,410,316,
134,153,925,213,143,843,280,336,153,323,618,619,374,098,583,820,019,112,332,
614,825,489,368,890,973,843,596,091,604,789,170,207,479,266,502,936,002,091,
492,901,517,921,409,060,809,817,660,318,176,696,754,358,354,057,426,703,801,
287,478,804,138,607,370,503,427,447,865,223,729,465,300,590,665,456,396,479,
117,254,951,113,385,340,300,743,986,138,593,006,056,993,590,987,661,259,782,
972,304,189,212,495,269,435,763,334,603,603,000,557,273,467,260,187,627,018,
685,830,543,490,238,816,802,084,841,128,214,782,020,499,784,347,843,097,826,
862,779,588,536,161,577,706,208,205,200,252,157,839,198,799,582,811,999,652,
859,573,066,914,548,655,872,750,666,526,946,825,607,100,340,524,120,403,493,
845,263,775,611,949,793,018,546,058,507,026,762,149,126,064,417,908,831,711,
861,275,148,956,859,875,190,952,073,313,627,610,065,763,234,919,220,040,135,
511,411,080,855,027,411,433,697,024,398,102,482,581,732,588,249,744,728,335,
134,097,395,695,334,807,798,920,516,008,467,865,976,547,838,684,126,159,505,
131,310,684,356,885,652,387,932,884,880,976,784,550,594,429,961,078,359,964,
752,753,706,977,598,285,747,933,474,991,847,316,436,297,366,947,939,732,206,
733,459,164,372,583,183,542,972,449,319,787,898,709,114,809,639,666,846,744,
044,512,831,185,545,129,371,379,217,186,920,608,090,141,455,759,901,426,106,
565,515,290,194,319,779,328,325,433,800,513,578,973,621,303,982,449,825,946,
827,465,318,265,230,928,462,369,438,527,378,574,641,880,229,017,173,539,758,
519,373,887,736,298,221,598,217,562,562,616,091,011,803,980,911,626,027,867,
024,900,937,681,483,816,457,012,925,371,222,241,308,170,053,179,558,123,776,
324,280,804,018,180,754,988,055,177,617,307,394,687,286,059,705,450,489,030,
636,515,206,636,622,668,751,815,009,624,638,478,327,858,639,301,859,444,962,
978,968,781,488,811,605,527,031,459,973,954,502,129,696,992,590,807,631,188,
275,753,536,131,035,251,957,306,227,848,377,562,293,374,706,661,280,547,259,
642,749,784,839,224,155,346,317,149,568,914,967,879,039,808,901,740,344,417,
977,389,765,870,649,939,569,731,988,941,844,991,782,168,093,065,455,074,466,
630,606,141,102,668,271,345,148,036,630,911,759,955,641,380,269,161,972,050,
641,159,040,469,255,775,181,114,188,539,411,322,249,401,384,296,280,088,415,
982,529,712,815,552,475,766,187,725,441,781,082,373,039,031,168,239,149,923,
118,939,269,169,707,539,764,467,995,651,477,202,807,280,978,741,398,900,747,
900,094,074,941,929,976,864,005,074,370,562,484,647,374,679,908,271,214,269,
564,644,525,662,411,489,348,556,681,411,819,428,319,525,445,114,425,164,966,
711,558,555,493,388,055,453,826,232,476,007,338,469,346,395,750,837,616,704,
850,976,756,431,692,051,929,261,197,521,488,152,543,902,288,154,384,202,400,
045,990,785,005,310,325,987,541,243,021,720,287,575,950,293,785,700,320,355,
926,152,700,710,269,791,568,632,256,518,129,546,509,778,881,858,921,414,135,
784,697,347,674,869,561,043,897,671,422,713,727,050,728,778,323,847,446,065,
901,251,822,965,092,897,567,849,706,572,786,188,978,991,220,423,790,536,402,
098,721,481,076,584,778,961,977,054,405,048,962,823,412,319,840,568,993,379,
805,758,457,853,647,780,834,989,010,107,871,242,401,584,934,857,285,734,526,
706,400,919,282,049,308,727,845,409,650,334,552,481,954,573,226,349,470,014,
016,104,670,925,243,632,027,042,882,620,901,692,491,452,834,290,967,477,019,
159,582,130,624,470,956,514,420,401,689,752,687,895,355,064,958,251,609,301,
091,199,293,243,703,406,210,959,135,890,585,181,282,031,743,704,939,705,149,
567,774,960,013,385,277,556,395,986,238,968,812,383,360,063,099,309,593,216,
025,996,724,361,368,700,681,196,488,642,841,616,950,071,703,877,097,718,117,
171,601,722,174,601,216,551,101,355,649,251,568,462,388,413,923,660,564,116,
872,213,963,380,326,022,825,579,918,054,455,092,263,800,609,922,644,459,889,
182,200,258,315,981,533,247,438,201,692,545,996,932,359,215,804,135,407,806,
071,858,439,516,953,773,336,456,265,432,262,974,330,533,152,744,960,518,589,
112,857,088,875,861,700,749,572,670,359,841,249,825,756,469,784,812,918,871,
306,969,091,620,961,248,801,827,437,206,458,503,063,248,441,492,506,046,907,
016,712,221,857,606,711,801,087,410,715,031,234,128,082,703,543,433,787,043,
488,448,975,904,640,823,732,983,387,585,730,344,371,135,271,345,804,467,735,
282,097,319,319,688,386,778,372,669,963,490,691,849,163,008,901,204,988,871,
767,366,591,968,943,073,956,753,253,454,834,179,790,415,312,001,989,440,259,
341,923,808,181,833,375,817,423,201,695,100,793,032,602,681,072,501,046,253,
766,661,098,804,119,195,481,178,890,185,411,212,035,414,433,832,159,906,877,
165,822,487,999,672,792,788,716,142,961,928,963,624,061,260,063,257,068,094,
718,055,562,194,280,152,665,327,652,000,387,835,450,935,508,951,066,408,600,
565,210,720,746,303,391,937,398,135,842,932,607,501,070,826,814,367,944,501,
096,441,597,813,601,063,983,341,270,664,932,655,486,291,100,572,353,264,320,
723,623,430,934,389,642,306,624,640,146,177,384,692,980,264,146,626,248,295,
432,402,003,900,823,169,111,880,862,150,572,093,281,372,913,980,680,769,972,
520,629,810,553,828,330,968,550,279,404,097,500,929,381,163,754,735,043,206,
704,073,939,394,084,023,043,758,375,885,939,816,463,935,629,372,476,469,209,
118,303,025,079,780,122,368,932,085,522,951,287,083,705,050,572,247,804,707,
578,636,076,306,212,322,270,490,652,298,415,498,459,000,935,995,677,119,274,
660,915,060,080,573,198,561,696,267,322,712,291,347,831,665,009,385,059,202,
639,872,230,676,342,947,607,690,975,472,036,799,657,079,946,436,728,473,291,
900,716,814,953,200,907,973,635,553,350,882,370,151,680,421,532,410,580,733,
915,287,032,281,625,427,234,685,784,620,676,047,640,466,727,519,358,990,535,
768,636,037,769,107,768,926,004,544,476,503,101,751,170,876,499,788,127,536,
355,816,101,861,718,478,266,630,351,636,950,974,739,704,123,828,645,882,456,
036,707,605,513,710,149,003,324,523,169,044,420,807,082,144,110,582,635,967,
956,853,030,331,614,657,720,426,825,760,985,578,282,180,596,701,116,119,277,
885,387,971,302,064,396,896,856,443,296,369,115,376,400,001,522,694,664,711,
682,737,149,486,600,085,991,498,556,978,976,650,231,404,948,989,968,408,943,
931,594,799,794,135,963,546,813,349,744,488,203,860,257,939,314,538,627,971,
965,231,101,768,814,873,491,089,223,548,524,089,156,212,339,882,977,956,220,
360,453,555,212,323,093,732,041,335,581,741,095,513,703,120,660,456,908,005,
757,440,611,791,572,971,537,575,948,088,993,328,771,217,018,167,617,183,331,
734,584,244,069,620,423,574,082,110,902,440,056,334,186,665,292,536,457,751,
196,961,263,938,486,161,364,355,537,399,920,770,185,331,382,321,998,569,464,
463,734,599,304,909,846,073,315,381,316,358,427,476,065,573,275,846,044,167,
833,029,987,027,083,611,482,759,691,252,045,028,184,259,755,204,162,583,289,
887,730,623,017,588,255,300,040,187,110,780,839,375,330,317,260,038,723,395,
226,558,937,096,933,713,071,371,581,353,837,459,590,744,872,378,087,404,680,
009,759,197,033,527,983,452,516,698,982,666,534,015,475,936,286,684,088,703,
500,676,592,504,655,009,664,614,935,051,846,778,204,333,182,799,022,718,383,
697,315,209,681,736,815,275,202,071,080,747,366,398,714,309,306,700,823,881,
790,495,807,595,321,004,416,382,776,876,480,025,498,841,184,794,038,125,456,
428,984,807,652,069,189,559,335,245,835,341,496,637,985,901,925,596,537,350,
359,098,986,137,452,993,263,712,196,950,619,692,782,612,600,371,232,882,486,
777,838,644,753,112,541,082,643,222,809,080,992,331,776,930,161,658,994,193,
452,179,159,598,723,241,971,820,064,069,524,471,518,967,827,841,656,179,950,
222,346,374,983,462,669,195,293,896,653,695,737,323,438,834,883,413,484,793,
147,731,412,540,000,058,763,032,436,442,880,277,395,345,992,845,024,728,291,
052,005,699,580,200,604,981,585,192,265,471,237,425,468,169,217,563,632,032,
373,478,685,244,384,292,659,648,734,134,331,179,616,853,420,224,537,108,340,
290,701,409,392,763,101,667,112,906,816,405,436,999,061,286,350,155,267,557,
119,909,198,618,336,362,386,068,475,830,861,367,099,785,583,779,388,115,453,
266,282,874,588,555,423,406,296,414,512,641,061,260,914,517,653,993,698,563,
231,183,057,815,337,905,676,070,876,211,596,814,393,241,583,907,102,641,037,
301,389,480,560,298,090,014,578,319,237,388,388,983,864,465,330,052,027,483,
699,251,722,011,321,378,054,629,798,612,548,311,413,993,997,345,980,615,501,
039,933,134,112,422,478,604,639,832,467,393,564,160,762,492,220,219,462,127,
098,670,636,857,447,408,352,822,079,415,125,820,694,679,121,596,473,385,664,
009,648,487,017,489,305,282,627,661,183,107,447,577,906,337,699,112,229,515,
658,317,689,429,807,186,682,892,161,608,509,845,332,924,915,752,219,975,781,
006,753,878,844,911,321,604,803,408,556,627,888,696,897,230,311,443,245,431,
582,336,069,837,892,955,098,456,180,887,621,952,556,649,291,858,996,077,612,
958,804,201,199,799,236,236,294,478,108,754,177,884,366,594,076,921,400,792,
605,071,339,239,046,533,120,339,036,873,706,251,363,702,297,261,789,608,363,
450,925,719,171,810,690,078,055,847,447,915,812,995,711,433,947,420,092,327,
634,040,108,881,685,239,820,880,974,088,848,226,183,103,463,009,019,573,282,
219,438,662,165,277,783,701,226,847,213,920,419,744,605,830,520,960,719,907,
846,993,059,211,349,264,063,799,776,258,222,006,789,339,115,776,850,158,075,
289,964,529,682,575,521,507,329,661,752,666,931,393,655,218,232,794,583,981,
297,520,627,163,915,844,267,460,290,347,614,826,459,377,700,639,261,627,385,
516,236,956,802,763,178,807,624,916,853,990,934,282,751,727,606,731,447,633,
508,212,109,814,499,137,267,640,705,654,879,972,490,982,627,679,673,199,387,
476,702,683,592,006,113,398,698,130,509,267,730,237,661,678,054,092,775,668,
977,774,138,717,597,819,025,240,006,445,713,118,932,674,270,288,785,755,856,
639,995,313,486,640,685,750,874,267,987,636,628,717,792,632,991,864,886,418,
261,166,336,410,261,487,373,388,036,772,642,508,498,330,794,350,568,002,207,
095,694,849,569,026,072,320,709,844,768,567,753,795,418,622,359,192,516,941,
208,492,813,005,812,335,081,091,086,706,871,191,278,514,158,835,769,839,689,
655,094,097,241,911,297,062,110,851,882,275,193,128,688,672,421,516,931,238,
253,583,571,559,836,562,057,393,224,117,294,410,646,807,364,442,603,922,542,
888,216,709,913,194,231,611,670,612,087,811,504,348,062,131,659,804,017,142,
097,807,738,435,813,182,491,596,626,356,001,275,304,399,297,781,900,646,450,
117,303,507,004,093,680,949,265,417,572,253,973,261,629,486,517,434,680,514,
436,336,990,179,080,934,186,055,656,310,331,459,493,859,209,505,449,116,151,
039,853,658,050,306,024,356,589,316,880,306,753,027,224,207,319,029,742,210,
002,302,420,285,760,788,035,188,818,688,786,267,039,847,602,808,989,865,801,
900,509,974,290,670,384,136,108,401,897,352,179,545,268,283,636,128,368,098,
140,668,593,659,177,983,766,284,108,069,780,822,284,256,656,878,936,649,651,
660,951,034,591,770,593,247,062,599,216,523,112,713,434,371,798,864,768,008,
132,994,336,065,529,802,810,469,911,794,849,552,171,031,554,550,593,790,618,
894,356,556,504,085,021,058,233,390,004,839,909,616,876,160,230,468,525,483,
594,536,714,533,501,896,893,773,981,156,713,213,259,408,395,045,134,825,010,
572,395,218,767,705,302,321,761,984,190,116,651,090,402,558,829,485,396,615,
644,281,095,098,452,495,471,411,513,315,572,520,977,797,641,337,625,102,488,
530,142,519,845,391,885,845,788,979,673,842,464,214,771,832,946,458,124,608,
810,138,889,554,045,826,536,915,760,505,381,247,666,588,668,332,028,259,549,
574,331,410,507,795,650,092,959,084,138,050,198,464,617,623,095,127,538,836,
572,691,556,649,408,644,222,262,857,988,927,919,696,845,279,594,863,469,455,
947,811,405,922,983,458,289,801,893,380,671,818,145,056,441,621,330,280,391,
293,850,025,433,462,200,672,259,556,694,616,980,208,337,103,719,057,629,947,
045,725,851,528,823,116,919,656,914,655,576,525,037,267,990,060,182,981,735,
052,003,374,225,358,382,819,739,980,178,147,288,506,967,209,171,876,653,252,
288,882,347,325,156,237,829,844,510,540,730,577,860,893,135,897,444,618,725,
250,515,529,620,055,450,739,362,983,328,477,003,388,361,423,691,348,423,134,
732,282,696,206,508,081,858,618,050,861,474,684,485,099,735,495,065,755,612,
890,745,899,650,718,570,084,387,629,915,231,318,501,930,262,642,618,109,893,
430,418,851,137,116,627,614,203,305,839,114,432,569,914,933,504,642,372,704,
736,677,671,801,372,278,023,900,237,367,415,517,326,266,697,996,596,879,468,
074,880,509,055,333,924,189,660,524,601,831,767,657,316,793,746,345,409,117,
498,400,808,068,646,610,120,866,260,624,009,945,389,207,848,194,033,649,936,
421,117,662,477,880,884,806,341,354,992,207,133,191,787,950,464,367,166,503,
216,244,971,725,760,729,669,603,385,695,005,940,897,924,697,369,685,096,612,
381,574,710,923,594,106,999,454,135,891,761,211,781,524,609,788,813,694,663,
131,062,415,275,833,387,795,664,030,544,043,490,615,570,977,665,179,396,642,
613,140,448,321,360,755,107,779,017,775,628,302,899,113,535,986,044,150,655,
610,519,609,310,103,912,347,248,878,702,809,324,418,581,164,544,718,578,827,
819,932,042,949,160,851,865,462,336,704,041,351,353,978,410,236,744,321,250,
599,566,378,418,774,813,929,666,972,748,294,003,667,954,114,414,219,896,267,
734,984,606,738,905,204,356,757,363,019,694,832,488,158,427,465,494,361,299,
454,355,918,928,222,200,806,396,384,637,359,571,940,808,359,764,666,112,844,
914,001,064,909,912,934,132,603,188,077,834,237,150,861,992,587,093,300,631,
968,456,687,333,517,590,531,102,911,655,421,269,378,850,081,745,451,443,460,
414,460,037,769,349,339,617,994,947,752,038,986,271,527,581,602,999,508,325,
952,376,619,349,371,975,562,962,847,726,353,287,507,805,601,922,108,247,479,
775,572,775,370,744,687,370,312,915,912,854,025,266,199,887,825,573,815,054,
337,243,707,054,022,848,666,723,119,765,458,703,214,296,436,505,571,018,615,
144,086,384,829,613,103,804,484,752,561,531,147,263,886,832,933,962,828,280,
632,080,813,758,078,509,850,706,842,283,447,572,686,247,182,256,683,713,235,
508,371,854,119,686,165,718,634,187,393,183,513,516,305,347,181,572,194,279,
877,547,116,993,876,969,197,228,023,898,955,919,172,478,683,428,391,696,916,
377,577,346,055,447,042,928,109,784,714,734,151,931,885,946,343,480,535,429,
313,168,548,905,958,226,534,339,548,164,177,182,113,525,756,884,015,492,473,
741,121,938,617,142,683,894,298,901,694,403,404,333,197,117,298,281,923,902,
333,091,250,542,233,353,613,910,609,764,396,076,377,448,491,015,269,924,855,
573,292,880,389,593,220,179,717,791,201,503,862,724,165,031,087,830,636,847,
297,677,684,827,718,494,798,731,372,875,668,793,782,020,125,525,895,349,714,
981,490,122,005,529,816,933,764,532,357,251,195,998,307,915,243,989,352,063,
230,876,204,812,852,016,421,368,976,671,245,623,549,399,827,273,486,032,153,
027,896,451,978,987,356,357,736,715,168,193,907,724,567,634,387,086,497,966,
880,009,600,011,852,608,416,075,421,262,745,738,299,145,635,011,474,983,092,
280,128,513,613,001,803,092,150,886,870,937,734,385,224,079,896,910,832,387,
958,559,108,910,418,483,820,260,523,507,351,739,219,955,243,774,830,990,208,
434,999,404,801,401,866,165,743,661,295,034,200,096,448,135,620,944,390,792,
494,504,864,277,747,393,792,361,225,176,858,938,732,948,771,897,685,792,062,
056,560,427,184,444,789,942,312,843,008,859,826,807,825,783,257,674,295,852,
518,002,854,667,939,236,384,947,232,175,233,733,318,089,713,627,286,021,923,
709,985,250,705,213,910,424,457,365,966,640,258,041,984,321,645,725,780,543,
809,784,801,121,221,058,081,643,359,529,530,617,206,013,220,864,609,781,669,
282,115,326,293,960,598,183,615,288,506,755,317,617,930,032,831,791,520,704,
054,478,432,770,296,128,643,951,433,571,704,299,487,466,469,150,714,263,511,
551,462,191,540,892,792,431,723,437,704,769,351,562,214,678,159,418,461,522,
760,343,746,187,632,854,372,991,650,295,165,129,220,388,674,703,484,314,219,
831,348,913,966,408,500,523,440,886,712,987,887,566,038,888,899,993,346,877,
232,542,727,867,135,242,676,317,983,968,745,614,289,297,468,026,960,928,684,
411,462,607,060,968,702,433,962,890,808,191,130,015,803,689,879,352,021,221,
584,024,883,986,524,961,449,004,987,354,024,063,823,238,180,529,668,826,925,
896,442,259,770,385,816,403,685,062,472,504,635,339,739,676,334,518,664,582,
834,176,315,489,079,731,977,379,180,291,075,328,849,002,311,584,228,773,553,
049,715,720,811,164,465,630,550,258,906,862,273,264,908,053,141,269,047,288,
515,445,592,664,067,878,704,252,544,730,675,758,526,076,482,468,491,626,921,
481,061,586,154,665,669,805,317,926,036,494,119,594,818,177,444,408,156,180,
728,418,141,304,068,149,192,435,498,298,680,604,358,623,960,185,299,596,561,
661,773,507,575,447,625,762,737,125,060,021,139,104,593,305,212,981,916,115,
523,889,716,873,828,260,061,014,445,221,898,151,308,033,424,483,955,904,063,
116,765,012,096,348,832,157,082,938,122,231,137,462,692,509,826,205,099,093,
857,510,040,208,386,479,688,683,065,830,876,373,643,689,997,261,023,723,327,
542,698,983,500,384,839,724,391,870,062,242,780,139,197,115,755,815,309,474,
592,524,988,942,730,858,719,704,042,154,969,638,724,620,187,581,848,089,530,
052,172,946,917,780,919,547,044,011,197,524,051,115,573,885,310,402,965,537,
301,247,365,069,524,239,421,844,417,432,444,639,433,535,716,690,844,072,135,
232,889,644,356,181,400,435,453,121,865,694,717,707,495,479,386,691,719,731,
381,915,854,187,514,202,540,540,417,378,275,838,925,448,362,716,810,422,410,
692,423,202,868,433,105,736,262,186,119,743,735,785,522,324,367,106,520,657,
149,990,886,614,488,733,224,928,436,798,779,438,515,898,525,627,130,548,061,
516,353,208,560,840,625,075,251,024,586,508,078,713,796,091,600,277,121,018,
821,953,738,278,759,139,741,137,888,302,278,707,445,385,002,860,621,560,045,
676,821,666,865,844,727,846,974,780,225,125,230,067,377,393,118,345,780,291,
546,377,513,284,283,676,826,755,838,240,080,084,737,499,588,538,295,150,046,
695,671,796,380,885,399,548,322,279,008,111,515,115,310,248,417,054,446,417,
926,491,797,140,192,466,253,199,852,534,469,713,296,500,474,841,585,416,553,
866,024,819,285,889,264,712,585,751,754,461,731,735,404,775,830,723,733,157,
235,291,101,835,573,620,653,776,384,849,298,643,013,232,911,345,055,126,331,
923,954,628,898,638,486,003,829,100,557,633,063,735,814,917,618,353,839,339,
341,497,865,972,113,979,693,429,536,099,181,727,908,394,500,049,107,123,154,
662,178,280,802,003,181,410,537,065,040,453,367,480,280,199,490,475,259,023,
020,857,961,027,137,790,719,111,511,383,440,698,703,748,202,355,630,880,119,
181,593,195,618,930,240,291,233,588,732,018,602,447,646,762,090,202,151,216,
121,580,551,016,629,054,382,562,107,173,754,861,235,411,392,157,122,946,752,
573,280,604,592,674,556,460,059,480,276,297,305,587,939,786,387,387,929,922,
094,232,668,086,258,176,428,472,006,051,890,009,603,997,415,518,456,281,072,
976,385,336,193,046,659,522,337,437,098,363,872,495,974,832,223,344,080,270,
955,278,733,309,354,588,226,573,264,313,398,206,843,150,526,188,898,866,274,
229,705,697,066,006,202,545,243,177,203,826,166,941,244,968,798,490,549,144,
521,453,900,883,336,365,657,741,256,737,808,504,877,326,067,245,732,322,702,
550,185,723,102,826,918,850,740,472,876,794,934,667,750,570,682,242,153,556,
887,791,888,661,290,030,619,694,971,406,977,604,190,472,443,350,234,795,975,
162,312,577,058,857,695,226,465,280,033,227,628,228,124,456,694,016,297,101,
078,700,912,972,032,126,816,722,930,549,188,982,996,806,511,979,015,062,094,
486,458,028,251,936,079,745,025,978,625,819,454,621,386,780,537,856,884,651,
772,243,647,435,124,366,852,379,115,346,114,994,482,766,708,888,201,014,814,
066,637,880,693,193,199,373,666,579,305,544,530,842,969,740,263,222,038,953,
828,056,764,615,972,637,817,076,454,504,856,820,918,512,607,809,549,525,497,
992,897,532,533,689,840,048,360,368,809,696,165,692,125,800,737,652,640,600,
986,318,044,257,823,341,447,567,392,060,392,656,948,738,571,120,539,967,606,
551,251,984,865,232,970,789,243,202,833,970,669,717,676,153,523,713,490,725,
348,948,297,468,707,926,238,561,307,867,155,073,554,366,930,593,847,735,415,
462,234,029,488,827,910,066,815,709,762,762,552,006,012,496,582,764,372,862,
794,815,602,219,319,029,600,478,068,021,749,294,419,544,547,543,595,828,556,
734,571,526,934,038,102,634,297,246,898,655,615,536,467,633,073,299,934,668,
742,770,716,845,442,115,662,216,576,434,521,287,036,399,790,424,987,308,866,
074,686,114,358,679,091,920,788,867,018,892,893,791,137,484,435,331,474,707,
397,205,310,876,479,946,396,099,109,849,228,917,982,646,932,286,927,385,035,
363,219,469,479,169,830,322,391,357,298,756,933,711,251,083,791,781,584,577,
386,596,281,651,379,696,122,565,081,730,683,757,419,258,635,926,747,548,423,
257,204,899,761,996,920,839,703,746,764,166,472,139,468,292,345,881,986,947,
301,874,101,900,142,910,665,050,257,110,403,424,737,602,389,852,111,946,212,
496,515,270,990,984,708,899,876,688,082,951,264,081,089,358,743,088,629,866,
471,599,849,481,714,417,591,563,094,980,833,033,191,192,108,573,620,678,889,
448,665,250,325,916,540,968,473,232,481,962,438,802,188,152,015,372,743,670,
654,785,261,319,419,244,941,455,204,448,270,607,819,001,090,728,480,509,220,
074,186,372,704,407,201,631,626,058,473,722,408,144,892,788,462,297,172,548,
283,299,108,852,374,626,414,499,236,960,156,530,285,372,535,854,550,379,641,
945,312,414,910,480,479,448,742,351,843,381,814,077,880,388,556,655,106,581,
557,334,931,242,850,194,576,187,190,017,568,230,081,889,891,227,092,271,651,
435,637,045,512,062,190,107,775,348,726,388,103,577,494,716,660,988,401,785,
287,014,710,259,979,209,981,352,798,450,895,460,270,220,637,593,909,108,004,
541,869,566,677,791,372,344,486,154,862,854,004,604,753,317,867,223,526,334,
991,975,996,444,025,818,935,722,800,102,665,217,227,389,958,275,409,818,446,
776,110,929,874,517,588,588,172,618,327,005,035,568,239,998,811,547,616,921,
213,041,368,724,620,409,988,781,941,528,047,573,780,767,341,661,019,600,857,
294,558,685,957,408,474,159,680,986,258,444,947,170,234,419,106,768,815,314,
271,932,047,558,066,742,592,192,086,346,147,939,922,862,318,246,849,518,109,
270,399,255,968,663,841,462,898,430,908,465,606,705,354,180,540,661,173,400,
065,283,519,671,434,399,971,610,668,996,261,189,620,182,160,461,447,740,999,
395,766,903,459,586,702,668,328,648,614,710,474,403,300,317,691,862,878,915,
885,169,638,427,114,183,295,540,995,701,157,393,076,904,425,047,281,054,056,
924,948,839,692,233,357,802,856,583,756,232,675,608,745,420,188,880,924,526,
205,887,104,487,963,890,421,459,972,241,346,854,951,702,477,924,203,191,996,
249,171,305,286,879,714,796,678,570,786,840,633,767,977,773,713,717,204,033,
778,788,928,048,495,717,374,223,244,127,697,744,994,397,621,356,051,889,966,
541,099,787,722,935,455,480,249,531,104,612,771,774,751,823,816,696,069,737,
765,454,536,808,173,519,479,309,335,304,094,897,193,466,934,744,931,044,267,
505,273,481,297,735,309,803,058,230,271,851,923,868,917,661,578,141,473,158,
982,091,700,085,648,359,421,913,503,290,854,396,516,077,536,533,123,817,791,
844,184,775,005,096,177,069,504,549,234,707,189,437,173,440,937,009,265,838,
376,248,053,122,829,395,215,991,042,800,496,469,641,718,554,019,525,610,585,
559,790,190,469,732,762,923,709,329,938,807,888,053,557,557,962,662,152,766,
067,231,400,978,048,110,946,263,989,813,095,723,650,063,137,417,926,510,780,
501,917,473,745,542,919,955,409,827,941,531,597,040,268,870,657,537,492,663,
289,589,009,630,022,123,656,634,084,214,659,436,856,508,541,922,279,276,512,
790,576,275,875,173,370,728,452,274,116,906,005,208,964,637,593,841,100,905,
495,119,892,109,733,131,527,834,235,577,521,646,535,615,042,216,257,582,482,
551,020,294,509,757,632,346,463,328,285,708,982,661,542,539,822,048,444,053,
275,375,151,042,626,523,423,326,045,316,153,446,789,645,983,969,163,722,429,
877,808,082,990,675,701,071,236,494,129,510,586,107,422,454,462,806,366,716,
779,762,878,416,772,069,475,100,217,318,895,297,307,138,516,452,437,276,803,
123,903,595,965,370,482,205,413,176,083,294,024,527,847,435,444,940,929,926,
408,727,360,787,230,244,877,429,861,876,895,438,163,376,793,655,643,506,652,
798,378,803,087,532,037,377,030,434,650,142,976,051,306,925,700,425,573,223,
201,561,030,104,627,614,118,933,363,532,689,164,523,146,599,098,329,477,740,
066,762,514,771,554,654,601,352,150,242,014,709,211,598,028,047,546,161,455,
303,318,655,082,285,377,010,270,190,288,267,919,523,086,430,737,440,987,846,
021,314,173,393,940,344,699,428,635,738,935,909,550,033,414,446,358,272,900,
709,337,070,815,229,546,153,031,177,498,362,482,956,276,350,865,137,147,132,
108,465,432,085,103,354,655,364,993,771,312,171,304,279,142,907,254,428,168,
627,168,687,674,712,645,788,904,929,883,811,681,483,510,442,224,945,508,959,
808,321,739,929,102,384,058,370,308,279,955,824,294,713,140,652,207,722,521,
174,650,388,445,265,912,700,057,041,347,779,262,428,954,673,866,596,127,190,
696,655,719,258,762,701,574,900,645,016,096,407,099,640,713,140,437,983,290,
669,561,352,269,040,251,722,826,515,749,319,065,717,581,743,834,648,533,666,
392,959,517,505,609,935,127,368,934,090,626,184,789,707,165,639,147,256,466,
580,339,580,326,480,673,493,575,712,320,671,801,564,243,497,184,720,008,312,
768,277,119,528,654,547,372,354,710,197,349,023,097,583,596,433,026,099,927,
417,406,936,217,417,240,573,047,445,699,611,194,717,277,872,926,525,417,341,
841,309,893,975,942,502,611,533,112,963,431,283,431,907,327,821,335,778,950,
976,993,820,520,363,354,876,967,269,154,270,794,084,030,059,601,729,788,458,
688,668,615,617,754,859,678,924,631,325,019,167,806,376,153,154,374,184,802,
828,471,580,462,657,283,137,872,127,500,609,390,271,683,899,165,317,346,913,
848,725,807,727,018,532,273,184,555,042,611,830,056,485,313,817,268,063,220,
624,995,459,526,912,327,510,278,244,341,473,647,932,523,941,030,882,395,800,
641,908,683,733,803,762,626,931,939,689,960,447,462,266,223,022,631,051,815,
653,052,997,617,968,699,766,818,020,936,134,418,930,998,306,026,057,458,288,
014,090,993,558,540,793,045,532,256,651,166,647,679,871,599,597,004,984,224,
712,816,679,586,976,803,621,983,596,223,229,008,888,768,317,481,652,019,588,
289,680,383,137,237,466,377,728,821,204,227,269,597,291,768,954,420,495,699,
945,738,250,323,365,576,862,808,627,899,154,540,085,038,928,116,243,641,720,
089,345,873,494,658,933,504,090,047,587,458,688,851,474,768,893,422,807,638,
114,573,804,825,995,996,047,613,996,124,026,480,223,651,028,933,526,717,157,
828,924,969,089,552,185,967,208,132,113,933,227,529,705,087,650,108,229,048,
697,135,853,325,970,325,596,800,421,062,294,855,124,737,584,491,656,089,685,
482,718,207,788,218,060,498,465,778,704,670,649,209,445,269,358,369,065,623,
239,524,376,362,318,325,961,976,227,409,695,035,058,051,764,693,827,938,131,
736,440,341,534,293,504,681,201,265,577,273,084,996,540,019,969,754,363,562,
857,883,715,974,372,641,550,146,245,374,483,934,554,006,215,637,349,624,763,
366,733,242,803,959,027,293,483,717,262,990,169,723,347,071,104,087,679,458,
652,744,547,000,247,537,430,760,355,189,208,862,095,758,406,132,276,450,384,
876,383,110,353,949,003,571,956,615,154,067,218,424,215,805,781,902,063,596,
517,550,881,605,115,849,926,516,114,711,933,705,915,898,164,635,612,373,316,
763,527,300,547,216,252,797,937,538,967,986,113,155,494,576,011,837,001,632,
315,766,678,026,234,672,284,285,360,141,592,639,419,642,804,850,877,488,517,
318,957,952,435,356,774,670,647,793,117,210,605,993,706,421,321,473,345,533,
943,694,632,555,976,242,413,287,204,854,290,918,437,223,961,324,759,799,271,
090,982,738,901,767,118,659,283,223,448,726,588,832,434,404,933,609,246,777,
047,103,402,864,302,030,328,941,499,101,038,395,062,510,760,744,498,462,276,
153,164,332,602,614,134,829,683,289,645,103,229,787,474,281,372,009,563,545,
093,440,142,317,925,681,356,245,835,205,392,056,597,833,082,039,466,458,934,
466,853,283,507,551,458,484,115,601,609,696,363,038,030,905,182,490,083,154,
272,122,178,703,601,917,081,061,219,451,525,905,855,597,648,898,732,438,931,
696,147,097,656,105,334,585,614,063,482,946,092,798,771,130,253,223,880,536,
473,377,404,095,553,227,889,588,883,491,580,509,191,861,080,493,770,187,576,
558,572,028,555,406,510,577,865,594,485,858,898,162,809,574,364,391,819,703,
384,434,294,770,923,063,400,044,264,605,731,954,877,153,513,278,473,158,150,
802,802,686,017,728,113,736,293,958,129,578,269,512,585,014,792,249,122,446,
906,113,480,915,707,120,651,168,853,811,980,865,000,131,033,254,186,280,515,
852,137,847,426,142,911,091,240,844,230,227,413,642,875,357,491,325,740,648,
521,365,683,200,728,214,605,785,504,688,457,602,184,313,707,243,371,749,155,
183,943,928,233,877,493,781,900,625,123,758,520,480,508,110,927,057,781,974,
049,137,047,433,827,026,723,511,347,326,320,270,530,463,970,167,202,493,377,
646,100,259,359,108,180,529,207,422,850,282,637,386,829,420,627,158,192,357,
442,476,261,959,923,697,265,120,242,883,320,844,023,473,768,779,770,410,509,
156,534,913,472,786,508,125,741,742,927,896,215,296,745,289,967,198,218,758,
660,064,546,854,853,232,720,331,168,468,437,855,970,706,028,767,964,633,660,
734,322,494,308,926,708,286,031,853,597,994,581,558,588,115,999,452,767,008,
051,985,008,708,606,594,510,142,841,031,415,346,325,136,465,190,666,675,806,
855,786,459,481,134,554,191,710,075,377,043,423,402,747,422,285,565,894,462,
306,247,979,840,199,843,043,052,854,256,659,421,590,421,988,785,088,502,193,
121,085,901,972,429,669,585,537,123,092,330,840,496,585,291,570,137,684,034,
213,771,119,333,066,195,448,876,818,751,085,541,166,304,107,820,450,226,236,
954,605,152,084,134,105,132,495,321,378,301,168,480,099,233,722,528,386,738,
586,781,749,780,477,608,932,553,100,607,418,935,244,587,622,527,805,534,254,
673,239,917,290,388,544,051,706,127,637,458,602,574,914,767,480,494,955,031,
308,234,747,291,162,565,706,211,269,793,502,010,939,410,646,907,894,741,190,
308,496,790,945,899,624,086,536,463,171,825,258,070,491,941,179,286,909,668,
623,274,722,911,671,431,344,030,325,138,955,542,201,920,765,028,646,567,206,
964,162,101,709,555,740,836,327,788,201,132,949,314,510,592,378,120,395,632,
988,453,415,007,280,705,179,467,478,542,768,872,783,974,020,125,003,361,143,
870,367,471,041,727,848,369,772,149,096,234,438,725,733,689,574,832,797,848,
353,891,168,966,415,819,620,410,988,468,120,860,296,522,732,695,540,358,679,
803,802,923,275,137,581,538,549,112,780,886,489,837,065,851,125,625,483,254,
707,966,602,106,125,317,960,209,129,993,264,944,611,273,838,879,803,484,518,
851,392,026,393,981,530,692,034,484,280,088,596,807,288,467,663,384,893,734,
829,587,372,866,894,912,833,349,613,253,851,249,473,504,905,394,698,594,016,
143,949,948,861,595,774,768,220,090,427,294,122,083,762,755,289,941,399,289,
734,212,019,054,369,974,681,808,937,871,888,306,932,831,980,740,131,232,473,
584,976,037,448,200,677,716,537,106,770,393,118,412,574,148,273,213,723,427,
571,395,863,988,264,166,090,994,849,826,651,479,600,747,755,097,915,991,267,
867,490,097,414,859,599,862,017,104,440,897,165,693,577,717,581,195,721,318,
070,218,944,619,098,012,491,065,741,642,118,549,697,893,255,877,364,522,295,
101,192,197,360,960,324,703,275,451,614,342,474,321,504,357,220,156,958,547,
353,778,242,655,746,209,073,118,777,955,658,820,239,946,440,459,013,339,436,
979,321,500,404,214,358,657,685,784,201,662,818,172,236,928,833,509,962,046,
413,940,112,135,088,657,863,538,970,327,098,671,928,666,767,951,722,420,904,
963,682,254,046,838,621,280,165,852,427,363,939,510,469,268,454,576,810,948,
955,365,937,154,136,690,316,755,658,028,831,757,993,173,799,773,155,999,101,
250,046,079,715,101,074,343,250,126,139,917,682,324,336,143,248,228,905,609,
900,147,067,690,625,217,234,589,013,316,903,455,115,256,220,366,439,230,440,
702,969,266,068,816,215,598,210,138,743,876,698,711,268,823,000,919,176,303,
869,601,996,787,547,990,420,225,324,393,934,422,636,673,255,795,038,800,664,
141,082,754,888,470,292,787,055,718,012,928,054,264,211,902,168,290,234,002,
769,658,791,904,929,901,778,067,502,599,314,631,516,086,661,828,607,739,288,
040,351,929,168,236,977,610,145,492,346,346,291,890,338,835,438,554,677,891,
479,431,384,135,202,820,090,049,019,009,598,571,980,025,812,625,333,682,391,
738,016,149,463,268,739,206,213,560,653,515,461,208,779,049,493,334,311,535,
630,185,619,986,369,424,213,863,201,912,651,654,136,846,271,816,630,302,818,
151,209,744,872,685,326,893,976,894,093,156,075,700,585,704,601,907,543,382,
395,705,478,050,433,251,451,240,624,818,424,160,530,596,097,113,604,573,144,
088,044,466,599,751,942,176,590,416,859,798,402,071,074,251,880,244,380,249,
368,383,137,446,672,165,893,040,060,847,294,484,852,491,585,529,253,023,595,
240,582,210,780,766,253,521,664,662,738,201,217,693,361,792,282,207,226,502,
473,113,883,338,248,476,901,253,467,656,114,176,411,804,566,247,828,719,382,
848,814,914,988,527,321,374,809,660,001,575,318,493,606,917,682,816,159,899,
117,521,314,786,079,658,240,956,185,656,936,886,108,935,600,971,180,027,568,
319,589,115,439,777,001,177,551,543,500,170,197,347,349,551,401,893,792,672,
187,632,131,381,867,653,432,877,408,028,876,292,305,057,496,958,437,706,290,
166,515,718,190,982,791,988,974,948,522,460,759,024,352,149,815,936,949,489,
284,195,134,744,141,659,198,446,848,223,606,706,967,628,258,559,838,960,308,
632,085,883,834,802,172,899,475,718,191,809,362,794,668,339,633,069,069,789,
646,477,886,350,902,977,538,086,277,612,561,558,588,182,034,026,236,125,387,
289,055,147,825,052,705,211,605,071,944,338,032,679,382,887,527,382,695,912,
236,952,534,771,157,044,097,209,998,008,135,777,267,946,115,312,957,603,016,
050,718,075,912,103,291,449,929,817,295,773,765,944,672,730,554,227,510,947,
451,178,775,193,637,033,979,242,048,973,271,003,996,094,057,769,666,576,395,
197,184,727,155,977,403,737,411,451,704,883,393,292,748,239,272,835,799,728,
916,144,927,821,640,449,507,329,674,748,272,942,076,858,271,991,939,516,366,
980,127,946,321,867,443,191,633,694,053,238,054,341,606,646,332,488,998,778,
242,982,051,851,341,812,420,430,749,369,223,376,277,261,715,548,952,575,678,
681,166,761,859,764,413,877,840,685,499,400,586,706,323,478,582,141,844,626,
975,936,144,783,882,561,221,027,926,515,399,771,193,264,439,790,110,308,119,
191,169,713,141,718,976,895,677,173,994,329,302,367,271,423,310,712,522,304,
777,176,439,483,459,711,098,524,202,309,070,857,017,533,293,676,904,757,016,
589,120,709,568,462,042,507,040,498,218,133,520,143,440,872,409,450,667,932,
476,745,703,752,990,634,065,359,323,841,872,584,706,646,929,854,500,400,447,
870,571,383,506,696,663,369,139,987,512,823,640,495,748,826,287,589,923,154,
089,553,893,992,295,379,160,315,094,145,335,045,661,749,523,734,548,019,862,
211,890,627,075,791,494,228,448,266,692,034,810,263,092,649,437,781,235,562,
297,971,244,956,401,253,560,099,488,360,248,243,138,975,977,534,874,896,896,
348,610,402,346,242,472,632,648,130,988,885,154,319,949,258,153,510,459,993,
871,625,587,874,651,263,165,678,660,855,514,937,128,408,682,169,720,339,742,
333,940,398,047,657,168,092,131,391,575,659,787,226,359,126,781,651,793,145,
599,917,104,585,156,835,211,458,313,030,288,575,096,306,927,390,856,518,788,
960,318,638,721,156,927,637,017,075,210,992,613,869,915,911,301,624,473,163,
245,104,341,023,895,186,033,135,603,937,648,994,589,873,156,200,413,413,824,
134,459,976,670,679,077,272,767,295,293,683,052,825,102,450,374,261,371,142,
965,746,379,929,655,058,960,325,451,277,461,120,265,906,223,037,496,797,819,
015,433,883,292,236,979,272,525,533,320,579,260,884,617,282,438,436,617,207,
144,804,046,310,107,891,329,705,687,335,083,258,747,942,408,056,156,503,554,
914,544,791,457,892,781,034,830,329,698,636,478,716,733,294,693,937,285,168,
419,774,979,570,251,633,333,608,777,621,906,495,756,717,516,447,437,695,175,
200,394,175,002,550,460,342,811,744,440,901,384,913,186,211,935,558,265,024,
998,128,519,426,368,096,537,424,402,167,852,927,956,659,842,059,833,335,262,
780,349,704,220,745,060,934,142,109,859,461,691,204,516,640,758,904,090,329,
194,207,984,967,699,962,955,820,380,152,032,914,998,688,522,507,158,625,513,
747,796,789,840,289,953,767,082,664,885,428,519,161,137,663,112,216,547,021,
101,767,859,500,070,079,767,795,666,152,647,899,945,092,646,881,839,328,757,
513,727,737,651,530,792,770,543,159,852,805,977,752,172,860,274,554,549,630,
001,092,860,505,985,036,834,684,158,960,087,580,144,777,616,686,033,633,937,
086,012,469,922,545,844,004,390,868,193,380,442,704,724,800,459,478,111,001,
025,254,651,177,850,951,794,572,502,719,063,879,730,953,614,749,118,186,513,
127,287,106,231,558,370,607,625,565,687,500,208,507,672,521,850,678,939,795,
169,331,043,904,494,861,994,459,041,769,626,038,691,353,462,431,282,423,127,
157,794,076,856,802,668,270,991,224,468,260,097,787,034,794,292,706,257,860,
787,609,193,305,168,859,346,541,599,870,787,076,065,203,114,569,314,194,317,
138,417,402,862,380,898,665,792,333,865,392,359,255,998,901,975,906,513,661,
989,156,110,154,196,563,144,949,126,132,462,951,079,190,253,709,145,298,438,
221,545,760,642,041,584,137,477,962,366,989,946,001,802,287,611,120,382,299,
511,226,878,134,746,493,454,604,527,928,668,035,956,155,901,759,764,754,574,
108,116,684,948,708,677,982,758,485,985,786,022,866,808,054,343,659,560,404,
922,901,322,966,638,426,724,450,990,318,413,359,009,145,302,951,501,411,696,
793,107,704,276,388,187,555,111,371,379,053,461,871,567,668,428,073,215,864,
684,621,753,441,823,668,112,255,459,316,545,842,444,445,446,933,801,722,258,
142,312,657,166,136,751,799,862,291,530,501,355,382,955,001,277,596,610,542,
898,093,880,849,365,214,695,388,044,941,063,465,547,871,023,455,761,452,607,
290,251,036,748,830,615,649,999,184,694,694,938,483,310,483,568,177,501,040,
797,958,741,326,730,599,923,144,755,336,447,698,088,342,514,367,684,075,522,
820,998,718,992,310,204,485,283,166,669,145,300,954,676,721,088,966,253,050,
100,159,773,043,484,306,397,791,625,157,001,415,145,244,369,993,726,997,756,
451,441,054,194,133,067,402,491,986,731,892,181,781,374,942,791,575,857,291,
258,387,758,490,832,326,851,053,932,545,964,596,941,513,405,731,974,052,721,
530,720,510,856,940,796,380,799,494,503,587,773,861,336,953,603,787,178,022,
960,555,363,789,023,615,418,159,976,362,973,089,899,278,090,988,982,265,256,
288,024,752,093,363,365,754,996,818,239,614,206,301,891,923,407,857,087,245,
066,491,954,006,693,759,183,554,045,015,758,499,258,135,123,103,925,397,751,
704,668,162,755,513,438,398,199,207,291,143,015,198,601,585,347,009,540,943,
591,183,729,269,069,551,551,159,869,543,600,628,149,340,590,466,433,897,457,
061,097,730,844,736,897,797,331,124,787,316,650,137,731,729,893,488,940,943,
336,573,461,666,714,646,315,902,208,205,054,483,123,535,599,703,417,300,205,
058,755,231,934,466,492,706,157,934,107,959,592,973,093,985,424,862,245,699,
184,959,367,508,918,787,740,790,691,095,501,644,757,619,906,402,585,062,623,
719,486,001,455,134,149,637,387,933,481,492,875,172,807,230,180,625,424,020,
680,934,693,792,315,531,474,028,747,765,515,032,582,500,097,434,893,500,833,
030,220,838,069,790,560,598,216,228,470,922,858,897,672,525,508,638,191,419,
139,474,232,302,082,307,571,977,781,471,742,275,933,749,546,700,913,455,852,
570,902,065,997,440,719,493,054,207,550,208,368,185,916,368,779,553,160,011,
880,973,276,524,336,791,296,389,038,755,934,309,569,105,860,575,546,807,046,
970,599,721,912,892,649,803,079,950,832,725,346,323,576,663,734,976,465,295,
651,964,188,580,121,146,992,581,578,543,497,550,141,084,339,635,805,255,975,
024,073,563,161,550,127,175,307,348,176,557,464,941,864,009,812,562,585,664,
659,942,415,423,312,786,459,628,878,348,112,518,956,724,790,871,548,406,162,
466,471,131,548,401,961,862,829,790,010,445,180,075,485,530,191,678,436,691,
173,530,092,067,789,917,009,767,826,797,335,055,129,079,172,159,889,849,011,
012,678,686,402,092,807,738,946,214,142,464,621,830,664,996,362,320,255,713,
918,588,203,980,899,827,421,792,199,485,379,077,370,778,845,404,727,594,448,
972,872,363,745,503,204,846,298,958,257,884,467,799,416,321,269,388,064,788,
295,161,879,975,647,734,269,325,151,538,210,098,865,093,167,989,455,577,805,
159,035,730,825,617,192,912,929,076,068,057,862,907,734,770,423,939,070,129,
431,280,784,355,527,819,485,072,449,107,338,093,634,115,872,826,500,327,912,
419,729,385,758,549,958,959,846,820,551,245,671,826,569,211,091,796,354,747,
932,760,340,110,397,623,068,262,190,446,510,496,442,786,020,259,274,427,866,
453,831,190,174,968,470,836,133,638,088,714,462,878,730,826,634,877,707,402,
560,290,845,677,160,567,414,773,544,947,774,572,953,659,078,984,492,046,992,
839,385,833,197,122,543,486,023,097,607,899,359,406,449,952,899,490,995,618,
918,913,209,353,085,873,709,652,971,888,666,951,582,687,714,938,069,855,206,
878,167,498,172,020,034,086,037,236,399,140,994,426,367,786,777,819,810,875,
371,229,271,989,737,188,786,111,232,891,518,394,515,469,028,191,450,227,126,
145,265,732,966,021,693,006,098,248,301,393,943,915,651,161,714,968,167,577,
528,725,899,993,661,056,386,732,586,644,561,637,736,053,127,937,459,797,929,
852,838,814,683,779,766,778,018,407,973,649,458,235,288,605,740,623,202,921,
448,406,890,644,447,423,835,031,482,899,961,980,693,244,203,757,379,931,261,
866,177,953,117,148,509,787,574,107,696,654,825,643,262,008,631,832,616,670,
113,824,009,441,720,456,290,757,070,863,039,686,265,904,192,744,640,518,453,
509,284,833,949,075,343,332,961,721,055,263,126,702,546,315,883,467,354,299,
883,863,770,646,726,821,515,315,142,975,711,202,664,825,944,484,434,019,460,
480,350,713,913,407,072,547,401,788,801,991,112,229,801,662,196,830,147,617,
478,712,643,255,058,855,272,893,824,971,258,847,464,388,994,636,410,607,712,
675,007,698,040,773,080,921,463,237,131,398,021,618,427,259,441,411,523,376,
369,448,296,540,322,602,870,251,656,854,498,853,408,538,677,749,503,891,373,
404,657,693,075,812,706,110,831,240,442,850,732,557,723,327,210,086,052,733,
302,702,877,111,403,917,690,998,154,192,922,285,697,095,086,897,112,910,918,
260,950,140,405,523,754,479,430,340,696,853,930,383,949,877,477,610,231,144,
189,436,012,485,501,695,392,676,129,600,448,469,069,945,526,682,108,085,376,
551,362,000,754,830,437,635,283,187,641,994,474,312,934,959,248,749,734,869,
286,874,245,555,785,748,089,462,048,224,176,825,460,567,094,451,135,268,464,
104,949,921,580,137,567,576,090,034,825,304,646,318,716,547,730,838,093,986,
728,285,922,263,731,170,423,643,829,450,230,950,219,762,407,728,304,614,478,
103,443,841,728,830,125,137,182,358,471,706,069,599,341,853,043,218,019,089,
440,257,767,330,965,182,510,782,952,662,007,513,845,856,727,464,894,901,857,
940,260,820,383,811,808,786,380,339,131,938,445,700,595,298,551,348,762,003,
421,696,713,341,018,277,458,551,500,631,033,358,517,389,554,925,133,748,190,
280,993,822,817,348,421,193,860,855,122,137,107,741,016,457,842,792,996,383,
656,804,898,626,775,765,880,796,897,557,864,384,992,152,968,368,412,829,003,
315,876,802,432,763,873,758,851,489,316,774,197,464,243,784,841,184,882,473,
620,401,984,143,371,251,888,334,273,152,700,705,625,320,357,928,181,767,709,
224,785,114,529,319,943,789,104,373,753,096,825,685,295,087,542,468,136,772,
552,300,063,788,570,105,030,059,553,351,180,250,652,715,428,623,439,768,201,
057,873,205,422,157,249,451,885,776,875,861,630,619,291,241,581,983,379,571,
660,907,080,333,990,081,209,066,956,620,149,018,496,819,556,455,083,173,491,
702,540,510,512,422,262,715,522,024,550,826,690,136,265,017,890,009,343,180,
558,597,943,947,753,754,224,791,620,959,190,692,640,443,059,480,706,106,071,
156,073,499,127,921,158,246,533,528,759,465,176,226,922,607,560,693,898,058,
879,297,699,570,420,659,750,452,055,992,403,461,847,628,131,118,661,877,888,
149,028,470,756,260,891,630,818,655,185,833,841,325,815,324,126,875,097,877,
286,372,152,252,813,602,981,692,611,930,767,961,235,475,360,192,808,303,315,
133,060,079,862,536,812,204,665,277,188,257,449,470,142,401,070,804,334,610,
787,462,070,836,505,311,377,507,127,558,853,369,561,009,415,833,428,825,300,
304,704,196,718,714,023,546,027,419,453,833,884,836,569,261,024,532,304,329,
449,226,355,546,657,357,284,166,990,419,166,120,741,308,352,996,927,013,835,
390,077,284,033,258,855,883,216,405,728,576,194,067,065,041,955,399,127,628,
994,231,926,475,522,217,092,154,984,963,031,889,042,645,431,351,663,982,105,
239,582,079,424,124,795,873,877,998,321,881,111,101,825,950,384,240,482,851,
200,829,750,301,430,683,570,819,655,986,117,697,114,218,821,288,908,614,052,
641,146,464,974,587,750,561,268,144,685,730,178,957,538,826,190,914,422,916,
640,126,357,126,066,252,052,472,037,993,095,783,089,446,522,189,841,912,402,
367,867,639,945,056,959,382,198,557,835,516,245,501,293,662,725,009,076,172,
820,389,373,274,124,908,399,074,464,694,715,019,701,070,039,927,517,213,724,
357,989,389,127,978,172,092,698,531,247,747,929,759,831,094,599,339,757,850,
598,881,065,194,169,810,185,771,783,082,832,355,249,175,964,524,553,938,286,
047,870,921,408,708,714,721,812,781,847,360,002,587,272,659,503,573,997,259,
608,283,566,537,919,419,687,880,098,325,129,220,700,983,227,958,580,159,090,
397,465,739,017,152,752,391,621,487,354,436,564,841,866,206,946,920,994,731,
178,118,127,842,510,842,999,543,216,061,004,472,127,918,756,447,292,471,418,
715,750,460,470,054,493,800,574,223,637,360,857,657,565,237,629,092,766,977,
601,395,450,925,741,488,592,197,056,617,975,745,702,231,543,906,499,437,868,
702,924,845,231,270,606,837,503,761,996,722,553,506,582,630,747,937,985,174,
064,311,486,354,985,863,315,228,827,259,069,364,417,184,041,143,406,219,409,
289,138,346,944,630,339,344,168,161,055,508,069,997,031,802,972,343,418,917,
791,836,271,009,358,657,119,666,358,689,141,551,611,658,530,053,992,373,773,
337,347,708,138,539,400,328,311,926,167,593,587,196,396,391,403,050,126,804,
271,714,526,936,578,811,880,873,502,825,267,207,217,584,102,515,692,786,940,
667,135,845,463,395,224,051,501,086,262,779,612,050,966,894,147,478,385,405,
407,921,303,350,934,917,536,526,356,154,085,454,465,196,299,907,488,949,754,
520,331,880,612,528,863,163,962,032,766,324,390,164,984,524,055,214,141,786,
864,596,315,557,830,720,064,712,001,177,772,176,851,188,252,191,838,694,229,
407,443,797,447,664,901,749,753,688,965,045,157,535,504,941,943,953,878,248,
532,135,549,009,955,545,502,268,682,714,640,079,167,360,794,625,484,371,422,
041,829,119,619,074,774,075,643,441,422,742,706,516,762,666,224,240,288,928,
167,388,950,568,537,038,663,467,951,217,238,521,242,074,522,740,063,897,707,
440,500,667,531,764,838,298,058,085,113,568,163,411,356,593,148,213,814,267,
653,437,631,131,029,154,086,078,603,719,551,728,751,524,876,275,812,395,159,
956,584,743,871,593,317,319,568,785,549,845,629,459,262,606,243,353,523,959,
485,609,376,156,612,917,524,761,409,486,804,366,255,491,161,399,558,439,881,
556,278,245,287,301,088,723,088,602,046,358,281,497,414,756,214,868,843,498,
653,257,555,981,084,260,903,149,040,370,940,249,204,746,951,173,623,662,523,
827,731,370,841,734,121,431,582,080,215,615,548,761,573,251,350,789,034,190,
605,638,640,489,000,816,067,044,440,711,496,884,527,056,054,273,747,219,374,
789,521,761,225,648,129,385,127,888,986,556,230,410,724,576,714,048,695,843,
771,597,873,188,893,615,008,107,915,126,827,765,041,438,126,264,372,898,011,
713,068,140,037,965,789,251,121,321,720,858,044,197,348,018,694,943,179,784,
170,283,582,055,464,949,009,969,840,323,593,639,829,158,277,151,556,468,039,
810,433,078,547,720,923,866,889,895,015,780,477,261,580,255,058,905,494,729,
398,591,003,132,904,352,457,417,759,395,832,752,625,991,750,152,772,409,209,
800,434,773,282,501,595,232,587,866,598,402,794,189,293,973,397,443,310,646,
961,934,211,890,553,970,044,182,835,921,583,560,394,972,847,676,680,330,763,
892,233,176,538,545,335,011,182,366,370,527,702,208,579,834,443,527,292,112,
406,423,305,446,610,924,568,177,959,758,786,228,205,948,940,120,496,542,296,
956,914,380,171,240,080,237,996,229,376,443,169,887,695,320,681,884,996,807,
008,357,987,889,234,635,657,602,117,048,673,652,622,503,108,362,056,068,665,
831,319,139,474,426,955,125,538,448,214,793,455,070,368,373,797,846,743,016,
622,042,928,847,321,014,472,623,728,882,253,792,265,961,212,065,426,963,466,
018,557,458,261,672,223,334,860,057,124,073,518,426,350,903,186,905,269,488,
960,310,377,839,713,229,236,000,503,289,657,844,330,758,392,761,534,360,936,
217,857,363,979,762,793,565,981,855,619,194,271,276,781,985,046,593,798,501,
518,194,767,695,004,209,149,301,894,990,071,263,381,426,292,472,212,819,039,
886,935,025,796,155,620,867,453,584,323,046,986,494,551,718,299,835,689,605,
009,450,265,699,221,984,279,980,467,102,211,994,477,570,319,709,370,458,863,
991,114,841,453,735,131,298,604,700,251,474,799,428,595,926,461,178,660,045,
726,384,303,644,128,431,454,473,807,010,288,165,328,663,587,815,121,533,550,
358,840,776,136,893,286,053,606,754,721,812,277,185,909,355,601,902,074,289,
889,388,459,841,611,685,577,925,065,564,504,233,868,364,347,640,058,913,960,
065,456,280,544,816,053,955,766,084,180,545,542,034,475,319,619,458,926,331,
401,383,100,215,735,986,858,670,327,571,190,215,368,052,926,298,333,166,701,
430,440,858,623,102,381,259,696,876,468,480,861,863,777,718,003,258,347,702,
123,897,640,924,455,340,377,902,092,551,120,217,718,016,695,005,151,575,318,
012,550,824,983,158,192,017,407,096,886,099,920,041,903,813,362,956,706,532,
003,704,329,318,486,850,541,128,259,563,335,733,538,188,773,674,986,651,332,
221,101,147,547,952,334,474,783,606,811,293,650,783,313,098,881,133,917,336,
141,892,830,948,872,737,942,788,423,010,249,955,363,611,656,711,506,785,278,
675,397,878,391,294,949,366,364,978,900,798,872,212,982,861,619,161,497,695,
274,008,646,558,228,901,244,488,189,738,139,619,156,132,004,896,595,001,601,
014,593,440,411,824,534,935,153,171,913,975,512,825,541,705,213,370,411,265,
154,624,632,884,666,692,096,556,516,008,680,330,268,177,605,557,020,415,771,
692,723,067,690,374,118,327,366,921,777,788,141,798,724,539,463,987,331,597,
588,038,407,500,429,814,381,200,493,655,144,040,585,406,940,102,186,966,581,
076,518,288,692,360,395,936,605,538,873,116,217,579,710,273,024,117,171,286,
802,583,093,864,496,977,547,920,639,853,776,212,832,466,169,222,103,942,168,
283,501,673,000,630,910,986,554,616,475,664,004,265,235,753,425,163,686,380,
411,666,264,409,031,896,325,176,424,517,569,631,109,702,200,185,785,968,775,
953,862,803,962,490,982,304,930,170,128,280,558,607,534,692,087,711,451,598,
726,637,718,553,459,275,315,256,120,898,562,166,963,033,973,023,104,647,353,
610,749,164,359,545,031,257,931,645,468,790,410,336,773,714,769,245,991,539,
978,017,663,186,328,130,824,807,873,294,948,971,076,570,520,340,371,109,436,
261,901,483,586,989,168,787,272,382,269,261,785,547,098,303,701,361,651,471,
962,544,885,565,238,613,677,244,159,017,209,454,228,844,241,018,377,128,285,
491,002,844,731,638,581,153,985,553,886,275,895,515,090,723,595,428,491,611,
373,318,556,458,094,467,328,982,366,512,114,189,762,600,980,349,735,766,129,
153,681,951,301,743,273,958,686,971,752,518,465,378,536,787,896,839,122,013,
830,143,461,968,730,343,949,123,327,574,957,874,559,023,046,408,946,587,785,
911,566,629,582,329,173,933,867,113,188,130,610,532,266,529,603,565,330,887,
635,293,256,156,785,062,818,480,424,087,170,055,898,784,349,530,217,802,964,
943,203,965,646,647,079,275,881,284,102,118,636,725,549,960,741,904,854,548,
745,725,681,512,606,210,325,201,114,413,974,178,784,800,087,596,809,461,596,
505,894,841,424,391,691,376,878,702,548,819,384,483,748,306,566,359,678,057,
957,099,054,268,423,073,954,933,781,028,945,607,606,048,257,387,319,235,916,
599,221,087,418,728,096,275,161,683,006,153,169,663,141,595,259,653,019,912,
133,647,316,729,857,033,108,825,728,252,472,271,105,823,289,748,542,855,536,
435,846,523,437,355,527,701,476,282,595,758,240,346,102,995,090,803,611,075,
264,832,480,642,473,222,264,932,719,107,819,444,604,877,195,791,469,354,710,
355,394,338,697,986,265,405,527,785,921,178,018,879,835,936,468,573,448,840,
742,192,292,428,254,649,847,383,190,454,197,248,463,939,040,865,421,725,415,
940,425,834,292,057,471,740,818,304,727,373,734,263,034,464,497,488,412,791,
602,784,686,116,445,043,406,774,482,606,257,682,560,087,641,043,328,441,664,
545,424,222,414,645,347,070,102,577,671,543,842,627,353,840,847,049,080,576,
134,410,045,043,944,862,756,224,201,670,497,779,064,790,077,617,726,365,671,
182,892,925,400,806,724,499,046,712,889,025,215,339,571,449,117,953,247,390,
149,961,957,970,791,909,446,094,125,866,006,803,688,578,580,919,875,459,184,
742,816,101,984,675,743,506,841,424,824,254,840,209,749,823,526,004,911,324,
449,044,820,904,713,566,023,674,975,783,418,338,493,496,406,557,146,353,235,
599,980,873,745,703,816,070,206,409,265,845,431,049,515,585,098,364,934,399,
106,764,388,866,601,556,480,302,005,823,747,938,426,070,679,636,238,419,416,
532,497,788,115,473,329,330,284,581,495,554,450,538,938,750,751,969,310,162,
228,725,600,232,134,970,165,121,167,773,927,500,407,802,336,784,396,802,668,
937,187,930,956,769,891,558,610,912,014,730,327,258,061,461,341,007,975,513,
713,647,452,444,399,984,749,905,209,325,625,812,812,300,296,270,658,525,610,
500,240,990,655,811,459,429,789,264,530,909,353,038,184,558,060,777,995,590,
168,839,966,364,356,637,435,854,899,299,335,501,276,704,049,779,606,068,056,
208,648,342,576,450,000,906,451,692,304,563,820,154,196,313,279,602,125,707,
306,921,523,601,620,941,572,259,477,659,207,744,767,393,809,805,308,242,986,
712,598,095,603,885,589,087,810,913,130,968,153,899,629,258,875,416,681,443,
338,754,379,670,243,693,298,664,434,854,330,472,422,808,646,895,125,331,862,
744,383,630,139,551,583,497,837,877,935,227,299,184,357,147,104,085,887,620,
500,403,988,003,477,636,552,411,484,428,272,351,081,914,123,996,874,176,079,
084,291,262,047,323,336,381,754,677,273,887,618,085,004,995,003,910,847,599,
981,502,225,514,695,074,033,278,433,323,849,256,941,555,882,357,028,582,015,
260,142,771,602,648,575,411,140,791,295,893,528,773,450,268,119,853,023,424,
920,573,873,560,907,995,422,234,465,488,763,679,327,365,392,655,036,383,391,
732,456,174,950,660,445,017,425,120,814,538,981,713,159,169,582,975,261,376,
749,602,639,802,934,831,972,130,445,147,142,741,445,268,057,777,733,283,932,
179,173,260,077,655,197,087,482,182,309,489,579,842,208,616,612,607,050,739,
268,217,806,124,277,886,700,013,507,649,267,215,893,737,039,611,593,665,957,
695,503,117,224,652,741,234,060,985,009,280,037,985,272,928,204,771,321,676,
981,121,228,778,673,374,007,566,279,684,516,215,677,136,088,079,034,344,237,
529,188,832,229,861,202,520,685,734,866,570,709,970,554,986,324,073,894,377,
671,405,502,211,109,443,717,800,426,698,864,516,565,430,241,198,110,770,263,
669,181,617,633,083,211,236,168,555,956,463,259,789,607,664,680,344,075,313,
841,962,308,743,708,925,004,638,784,321,208,926,286,645,296,019,131,722,916,
959,715,926,450,854,078,064,654,243,461,375,235,594,601,430,984,449,497,667,
980,237,980,537,333,349,397,815,643,651,628,170,961,635,610,414,218,010,573,
846,387,706,374,022,495,876,365,320,182,709,791,899,185,642,209,198,467,914,
466,559,049,378,200,437,966,819,404,577,485,604,960,944,526,099,789,057,084,
156,615,974,460,655,309,865,431,168,534,341,019,778,075,139,187,484,032,456,
654,252,958,840,238,143,438,219,966,017,972,995,602,392,977,311,857,037,195,
066,875,173,747,666,517,458,114,918,415,323,624,841,494,495,918,299,300,315,
020,735,463,142,198,261,834,580,279,448,631,170,768,827,136,834,613,190,349,
959,466,791,043,958,401,862,289,778,427,671,521,912,897,218,175,746,897,548,
664,107,986,886,591,769,948,757,149,507,430,829,191,052,047,898,263,534,666,
204,815,081,499,708,289,180,714,640,263,650,176,549,310,784,689,713,456,378,
970,911,664,320,208,210,079,832,682,985,292,126,648,130,393,734,101,317,752,
602,864,666,060,763,964,076,861,812,447,517,013,017,491,020,893,858,163,414,
568,145,267,907,322,569,106,176,946,198,187,958,867,274,705,870,149,531,202,
889,292,363,620,169,518,710,647,207,495,352,586,961,805,609,723,163,981,331,
988,020,871,081,813,071,826,988,754,185,200,075,419,284,469,058,059,655,905,
031,742,823,696,480,319,870,110,079,707,074,762,975,682,895,193,514,051,878,
610,300,945,583,768,483,451,542,757,562,875,864,121,056,758,934,243,602,219,
892,059,852,979,509,117,204,041,548,949,715,370,462,099,978,601,327,169,901,
206,778,249,338,126,188,823,699,873,279,061,281,945,708,471,405,838,191,033,
552,882,608,513,723,722,445,166,864,809,339,502,254,733,199,840,110,138,785,
782,129,997,985,849,905,683,316,923,500,829,778,966,902,299,014,840,161,003,
453,320,356,637,287,614,653,975,774,225,766,098,199,068,161,552,512,520,971,
413,598,039,013,285,347,226,052,729,127,175,687,478,737,546,243,711,237,570,
112,349,575,710,142,041,419,153,656,224,865,504,019,788,609,864,052,951,515,
837,959,940,686,884,644,955,857,626,131,481,451,373,577,019,775,510,482,274,
722,860,020,192,087,361,613,200,280,333,453,086,843,263,406,778,204,274,134,
908,523,410,302,728,933,240,345,287,755,085,801,177,629,016,826,439,146,351,
676,606,562,023,922,120,741,749,658,811,130,398,730,561,365,235,915,026,390,
589,747,402,370,368,366,915,256,051,437,438,808,395,270,404,413,609,060,063,
844,244,807,868,513,518,401,686,536,752,800,003,761,093,852,071,152,925,836,
913,268,478,623,721,329,934,070,885,240,968,607,739,576,532,136,722,929,331,
492,867,602,719,294,588,877,961,746,517,342,512,682,244,764,409,116,424,386,
141,103,191,351,493,439,046,765,444,141,833,766,624,816,582,139,324,373,561,
656,306,633,537,828,391,904,936,912,424,875,321,201,642,138,141,745,858,736,
607,581,227,775,552,701,896,897,158,082,804,677,956,042,149,810,687,230,018,
898,860,899,394,801,670,082,773,705,676,921,379,679,831,050,673,980,074,663,
739,607,525,560,824,816,464,239,700,220,699,785,268,548,891,326,663,989,059,
643,197,429,597,468,932,148,534,542,870,156,894,236,687,875,840,350,508,113,
020,036,899,992,904,397,199,882,833,728,271,881,504,908,804,008,976,094,456,
878,617,013,622,166,434,646,161,124,989,645,270,784,557,847,857,619,765,002,
887,619,423,426,746,096,306,350,614,244,389,977,058,842,636,359,104,473,807,
929,165,474,684,055,790,917,738,873,453,502,232,468,370,455,579,690,488,679,
967,386,427,057,202,688,788,066,227,479,032,237,620,528,893,462,026,745,324,
431,991,071,095,281,214,304,919,698,349,276,958,367,572,470,816,365,925,670,
526,784,588,621,532,845,539,988,602,614,152,773,420,796,218,566,249,596,190,
645,955,724,921,341,089,558,437,857,334,122,724,270,427,310,577,436,785,673,
934,980,965,300,871,248,770,226,640,618,773,281,588,462,937,503,124,253,140,
206,696,235,845,791,106,084,656,366,536,412,838,177,909,356,223,911,817,460,
388,009,755,867,034,172,921,134,567,346,870,060,607,051,057,608,287,411,055,
802,139,910,044,624,970,424,900,571,589,939,646,004,965,090,341,753,057,509,
311,704,061,938,934,578,092,929,086,089,527,919,826,484,913,707,624,097,524,
256,575,147,504,119,484,997,340,453,542,969,953,305,301,330,120,425,267,285,
633,610,313,202,951,750,503,311,505,794,474,417,178,653,138,752,500,106,318,
439,115,297,209,676,528,781,119,880,394,384,270,718,176,258,113,620,776,246,
634,067,826,331,208,209,240,093,029,213,856,651,533,862,955,375,940,747,133,
267,775,345,721,597,164,256,310,129,868,299,039,828,295,480,777,971,854,492,
942,580,439,759,420,636,945,708,599,120,871,999,163,464,964,543,836,971,386,
406,474,650,291,406,348,946,152,499,525,004,864,677,637,980,220,193,169,296,
658,631,254,148,532,042,376,425,607,862,232,053,358,730,493,348,358,911,629,
561,481,846,937,487,974,230,425,326,928,397,049,193,671,276,769,859,095,076,
108,975,177,956,886,457,764,682,361,410,272,150,962,678,386,302,410,231,886,
478,904,125,713,101,160,091,301,426,947,878,308,898,739,836,807,818,775,678,
060,219,855,668,300,500,028,136,514,589,522,095,456,545,211,061,660,082,552,
476,789,395,399,792,116,331,368,847,545,368,957,602,813,855,725,366,416,291,
265,797,153,228,348,143,213,695,969,208,560,647,807,983,924,975,969,688,940,
497,002,860,601,514,071,599,379,074,288,944,187,599,257,070,762,801,467,884,
261,245,982,709,858,634,473,229,966,425,217,310,484,275,618,472,278,898,513,
973,782,036,055,714,884,388,736,534,074,854,523,535,601,192,222,829,907,216,
526,453,112,509,644,062,494,337,511,554,118,349,281,044,282,321,062,850,197,
758,749,512,583,090,630,080,855,542,888,227,671,387,536,489,620,194,211,461,
079,277,921,990,940,108,076,634,456,530,419,982,570,641,978,784,080,415,435,
873,889,359,615,977,758,497,990,661,030,363,280,342,812,129,722,863,497,965,
079,723,332,060,482,873,849,393,320,064,948,835,751,860,005,454,844,578,229,
890,495,912,335,566,129,939,377,874,943,834,252,913,909,170,837,952,031,602,
637,498,008,868,957,325,454,394,765,734,889,995,672,176,282,993,098,781,889,
820,079,290,663,405,114,971,260,281,758,200,169,404,498,348,014,555,540,352,
148,741,674,740,586,772,261,882,386,921,036,427,576,243,468,528,639,056,133,
594,640,202,524,163,063,291,394,125,973,611,875,017,256,005,847,745,156,821,
696,786,888,269,745,878,925,823,835,902,379,870,943,701,492,166,542,172,365,
889,765,705,285,361,250,978,896,811,927,839,192,045,782,465,231,104,119,087,
403,644,322,616,207,391,640,462,864,396,247,609,303,598,847,458,138,818,184,
413,659,106,471,587,979,159,193,123,936,164,056,925,010,061,137,662,928,558,
442,340,234,298,780,381,082,572,594,569,744,859,829,778,190,531,858,225,795,
214,588,056,556,603,384,220,942,934,472,824,186,795,466,531,794,379,064,574,
526,951,091,465,475,288,873,260,368,149,640,385,899,716,378,636,583,561,507,
490,815,574,666,024,383,558,258,878,757,269,924,506,038,999,568,376,349,301,
846,711,344,707,076,841,301,963,020,277,209,177,955,787,014,920,684,596,411,
401,338,814,885,371,970,647,673,921,788,475,983,694,815,182,088,012,828,595,
757,226,466,133,058,803,657,838,242,980,786,718,227,301,187,085,741,038,741,
322,095,649,007,173,065,577,253,638,187,544,299,020,387,357,546,595,610,029,
732,404,152,865,331,901,270,898,108,159,071,062,145,106,202,357,233,958,480,
058,974,330,852,317,431,874,079,698,404,966,128,113,132,428,527,334,533,978,
904,233,082,922,265,995,192,758,968,014,138,827,931,222,675,575,515,865,584,
345,001,178,608,194,942,876,879,566,791,105,297,682,970,723,508,598,892,120,
762,622,650,306,860,660,437,349,073,187,620,142,719,775,607,771,737,652,422,
893,198,921,376,798,065,696,227,117,703,082,849,805,085,640,886,769,856,831,
445,953,251,637,798,531,155,141,548,425,504,579,453,733,129,822,578,852,243,
515,927,900,326,971,744,445,119,941,837,436,372,023,030,038,749,639,152,795,
102,966,936,051,165,989,939,803,555,194,530,348,264,204,085,964,426,503,770,
747,598,924,699,135,816,557,325,610,935,132,493,197,588,696,632,135,787,611,
388,706,291,759,899,526,468,028,781,128,286,561,246,284,863,997,659,377,576,
726,896,040,602,623,523,888,574,810,175,250,212,187,972,665,847,018,780,998,
170,075,565,675,499,059,592,469,364,668,532,211,387,310,560,233,255,422,405,
333,478,699,347,653,920,865,566,878,062,180,965,698,564,497,910,132,410,166,
026,514,187,121,315,313,950,945,112,770,703,754,560,485,565,432,188,700,848,
074,021,714,206,248,828,663,408,330,905,955,810,552,680,007,337,054,435,188,
995,374,012,214,977,103,542,895,680,498,010,448,411,772,927,504,127,216,618,
313,588,218,563,984,869,388,732,847,843,178,321,999,427,142,018,705,276,041,
571,783,363,906,583,690,898,125,431,189,372,354,333,485,677,103,495,993,444,
139,725,149,219,528,943,450,245,776,218,236,866,145,418,663,747,600,828,329,
628,968,488,657,129,240,439,757,308,819,525,186,448,051,232,199,964,736,183,
085,766,859,092,935,964,545,478,795,468,066,805,453,764,593,394,530,585,560,
365,685,329,753,175,844,402,523,400,574,777,175,564,502,247,844,614,315,327,
413,597,765,611,012,068,560,525,770,264,147,541,464,051,690,945,627,576,896,
927,749,973,305,030,421,473,797,708,497,859,439,592,831,199,496,477,744,817,
927,363,331,489,230,067,812,340,951,503,468,056,419,531,135,671,849,927,831,
776,129,481,676,614,364,298,800,365,641,478,833,898,929,841,928,128,181,439,
545,027,024,449,546,903,729,256,066,546,461,276,616,187,562,405,034,592,271,
254,082,934,608,381,071,739,752,286,445,202,389,264,503,277,841,785,269,240,
684,830,891,899,510,714,031,226,749,559,392,366,720,430,642,926,091,522,220,
580,941,225,097,920,805,999,942,168,200,396,078,029,664,132,917,492,930,452,
078,712,160,346,515,835,540,655,901,983,385,163,746,962,942,550,521,283,143,
322,376,057,892,410,555,703,339,907,688,986,309,707,967,461,942,975,730,100,
993,327,119,578,390,353,954,704,440,749,147,902,180,442,994,224,094,420,651,
026,362,572,888,439,203,584,826,042,906,821,647,548,244,795,410,617,784,118,
610,566,187,471,794,006,129,421,581,318,266,042,585,983,498,346,538,688,575,
509,933,999,537,058,911,211,182,693,037,594,539,789,065,046,671,392,233,983,
391,364,287,566,345,846,173,438,850,342,747,932,111,224,840,529,704,364,230,
446,398,806,287,614,110,422,546,460,783,437,702,215,600,348,131,355,559,928,
321,661,108,129,456,090,168,249,320,235,950,262,281,830,670,967,875,104,108,
727,014,666,613,813,455,209,647,053,560,153,394,628,577,042,595,403,133,001,
198,019,122,478,409,244,814,301,788,654,212,371,929,709,580,476,620,940,109,
604,502,465,989,917,783,449,890,994,876,174,501,296,868,383,684,326,285,080,
580,186,608,843,098,176,083,807,590,644,638,771,955,551,237,142,886,008,686,
238,378,243,215,266,190,025,215,444,270,757,136,211,139,619,019,826,253,749,
487,483,249,521,953,184,042,675,481,834,640,117,397,942,644,029,101,707,056,
145,200,189,064,376,187,725,876,753,284,575,159,121,200,934,214,435,608,828,
575,976,991,813,977,171,199,207,356,541,288,804,886,244,618,932,081,518,050,
104,563,040,198,275,672,475,427,786,913,993,109,937,889,171,613,295,099,342,
264,461,423,117,349,650,510,437,550,516,987,835,560,579,154,574,977,174,022,
792,214,611,111,822,434,491,481,470,599,742,908,571,715,154,511,966,327,982,
444,700,170,499,954,768,277,913,984,669,582,285,087,777,342,563,217,509,093,
141,065,525,394,774,962,357,591,040,855,502,701,322,727,806,554,679,799,719,
611,458,778,655,616,227,175,645,865,003,789,630,098,361,129,480,880,826,538,
300,735,567,314,664,806,201,448,187,901,234,081,630,083,521,451,295,500,562,
325,502,621,101,945,313,912,754,601,336,171,079,998,922,247,663,439,800,842,
695,673,649,071,600,179,413,551,518,485,558,424,578,549,232,205,175,183,841,
206,348,616,687,630,111,193,195,986,964,562,383,737,517,948,946,319,192,304,
613,040,540,613,219,428,535,138,188,701,882,780,179,817,239,932,711,361,275,
687,262,407,258,481,783,606,422,799,963,406,377,108,062,964,568,871,810,956,
470,944,863,419,115,177,215,744,942,979,443,111,101,542,506,449,072,166,277,
874,690,824,799,387,274,817,709,141,711,760,354,176,805,736,265,524,465,731,
069,752,948,488,668,208,921,223,260,795,471,226,096,203,766,280,818,266,538,
934,206,557,379,327,620,605,807,410,526,547,291,659,053,179,109,349,827,940,
609,560,198,072,831,873,427,872,638,589,135,135,817,381,468,119,823,176,624,
970,371,162,007,306,286,853,297,702,253,195,829,696,548,199,408,778,479,162,
546,907,442,549,291,793,139,607,205,473,486,301,586,127,445,308,812,253,166,
768,350,127,915,130,636,762,899,215,710,241,783,899,886,308,014,791,509,149,
098,981,926,702,079,481,695,064,613,360,068,817,029,702,621,270,654,017,237,
666,489,967,394,362,405,021,200,889,523,523,406,128,333,453,348,387,411,949,
513,608,418,448,485,142,741,606,885,840,527,122,267,304,359,730,014,228,001,
286,010,112,141,350,026,851,064,266,637,850,953,701,257,400,254,316,306,350,
523,202,790,256,592,385,371,062,422,423,206,115,403,889,842,549,138,984,581,
639,569,876,345,349,844,225,863,133,067,083,541,201,405,828,950,030,218,923,
102,075,827,889,876,277,982,625,545,874,073,322,114,130,076,147,018,427,742,
891,581,051,548,317,474,055,081,958,652,526,488,034,687,868,437,477,372,784,
765,192,954,673,868,466,550,635,407,720,706,184,111,928,036,281,529,864,161,
748,248,486,654,169,390,163,882,082,977,311,416,684,008,071,710,102,938,001,
657,146,254,780,200,580,207,276,283,784,617,313,098,485,703,907,501,352,629,
550,940,435,998,730,151,360,655,177,897,698,897,042,231,952,128,592,641,595,
418,173,401,355,885,435,398,676,513,914,054,063,762,729,597,239,944,600,885,
757,144,518,849,613,339,721,465,401,514,475,593,410,108,028,737,351,079,789,
891,100,680,602,221,533,210,544,396,293,290,300,983,797,680,799,388,877,356,
727,723,015,722,795,555,667,749,448,504,410,594,420,374,765,959,856,749,592,
053,816,180,722,975,873,095,525,444,723,220,683,134,388,747,340,839,543,744,
407,502,413,627,534,585,527,288,312,541,939,786,056,117,248,523,762,032,924,
326,122,286,538,184,360,472,575,254,196,979,228,930,574,239,984,194,063,313,
212,628,581,817,940,611,064,386,180,941,596,773,025,526,197,168,578,202,809,
607,653,990,072,061,932,496,478,338,259,109,917,116,001,660,926,619,944,611,
407,817,003,347,466,550,997,034,231,205,245,881,987,522,468,697,255,023,320,
716,468,395,237,349,053,118,633,810,111,773,787,627,768,146,952,386,126,584,
258,644,321,260,516,986,428,464,670,556,865,524,851,891,939,503,287,711,454,
667,884,617,759,869,421,085,227,223,588,046,204,754,468,494,758,132,137,018,
089,427,975,871,099,772,733,686,405,285,026,536,303,500,698,010,027,876,525,
884,169,850,575,306,549,245,532,929,599,207,889,100,099,591,742,821,662,542,
734,714,007,153,624,537,231,215,861,883,264,380,515,808,247,254,425,691,687,
305,225,359,321,064,611,163,590,246,961,458,570,068,556,818,960,715,388,016,
040,449,284,478,867,101,210,165,389,438,283,680,973,922,954,654,252,593,564,
637,665,558,620,599,263,708,561,148,721,368,966,959,191,617,217,023,454,091,
685,940,171,139,962,977,717,594,567,611,059,150,668,875,130,418,580,622,858,
971,778,765,261,164,074,670,894,878,006,336,778,341,535,403,974,010,089,986,
876,959,918,285,283,433,189,659,664,504,395,528,018,865,478,495,462,192,875,
174,868,376,791,632,273,597,520,964,486,908,266,030,333,841,881,057,199,253,
389,045,277,698,390,149,713,030,012,511,759,767,020,560,152,585,928,960,690,
976,998,558,826,892,205,145,929,453,861,865,500,860,473,144,798,775,497,401,
432,375,414,072,446,896,367,358,132,511,616,570,377,090,694,489,939,343,703,
605,057,632,561,302,449,126,502,790,056,911,564,854,532,774,861,216,774,746,
151,480,083,425,806,893,528,261,963,448,355,260,678,016,353,218,291,513,286,
196,205,336,083,631,993,073,994,533,685,709,172,362,810,390,608,118,994,391,
685,033,478,759,249,940,849,325,592,480,855,759,528,788,605,112,766,407,637,
008,359,859,372,584,858,705,829,277,710,519,042,868,268,804,163,765,259,130,
230,677,711,727,363,459,667,009,941,222,537,548,225,307,245,071,060,373,348,
912,282,663,677,502,472,517,937,100,381,693,215,060,816,781,779,357,096,516,
144,475,008,017,906,871,130,262,609,134,744,164,389,409,208,112,541,436,813,
392,636,828,155,140,828,377,469,138,516,617,801,286,064,061,796,401,310,812,
015,137,094,560,074,592,482,784,550,862,772,840,933,764,127,415,205,170,102,
315,771,933,244,110,699,045,748,973,103,289,809,112,043,377,247,096,012,232,
886,382,826,316,644,821,416,324,326,000,856,648,701,825,827,524,897,058,178,
655,456,932,537,244,565,337,962,431,620,126,506,139,532,983,044,685,128,760,
103,971,528,089,667,232,180,194,089,879,922,213,395,749,018,782,515,495,785,
032,864,462,017,907,426,517,562,480,182,768,782,778,665,171,133,792,540,783,
744,883,328,762,188,682,977,131,814,576,780,533,733,882,622,684,048,982,518,
853,140,341,610,607,531,027,413,022,963,850,443,872,301,166,692,095,205,824,
710,892,822,923,393,792,241,464,730,045,393,042,642,959,006,690,407,566,283,
196,743,504,088,323,233,784,865,558,556,070,677,539,461,513,877,880,157,840,
308,004,908,072,314,950,549,167,021,925,629,688,816,852,868,781,561,868,733,
533,119,807,650,924,807,267,960,724,246,949,334,258,224,541,739,318,794,404,
702,686,837,178,185,171,076,146,003,130,962,578,928,048,724,026,961,199,984,
742,072,056,413,061,095,358,838,860,652,159,875,540,515,592,851,921,523,934,
916,666,393,117,368,088,964,979,783,107,558,943,283,571,208,645,191,878,033,
437,404,050,281,182,970,269,362,295,985,976,736,259,709,547,051,152,435,507,
529,150,466,435,819,588,031,143,337,040,694,394,725,800,902,388,759,027,537,
821,229,534,536,383,837,157,609,578,978,210,998,971,047,290,343,578,437,784,
060,745,970,649,257,326,446,637,753,080,160,690,735,736,951,505,294,718,564,
081,060,967,992,251,745,557,066,335,562,885,364,437,091,273,727,033,583,710,
990,264,922,099,595,266,418,503,172,236,688,694,667,715,016,224,779,774,231,
736,083,137,055,004,843,800,615,772,971,837,063,590,693,987,837,282,046,491,
308,587,378,410,694,752,518,115,517,979,706,861,411,933,702,596,915,574,509,
853,440,437,412,518,305,710,535,559,017,851,902,436,527,259,527,340,196,209,
931,332,385,670,633,350,607,679,660,814,031,642,466,009,533,172,167,914,853,
404,449,001,884,962,278,297,221,277,916,407,105,783,626,794,372,734,212,420,
600,013,010,788,861,606,872,054,193,048,503,398,264,963,486,827,398,660,688,
588,119,637,466,386,759,616,796,004,499,022,775,541,642,105,125,215,304,876,
663,445,700,602,109,067,953,783,440,561,052,594,579,265,189,838,973,708,559,
762,478,031,999,410,147,640,747,982,359,723,200,970,434,441,909,862,354,404,
687,778,635,648,747,380,677,131,858,044,064,405,648,228,128,277,120,349,888,
931,872,064,599,483,901,574,058,848,674,278,003,724,352,515,819,741,791,816,
947,619,781,951,371,760,822,599,620,509,783,496,589,494,136,192,827,269,022,
381,145,988,607,985,232,735,853,064,105,965,519,248,677,223,532,435,569,302,
277,632,457,036,262,627,448,506,496,341,612,536,912,513,319,043,950,633,026,
093,289,395,975,693,184,262,226,285,665,767,704,089,219,431,666,311,826,180,
917,671,127,326,517,391,040,074,440,265,318,309,022,089,074,104,822,673,040,
162,827,070,629,550,130,612,319,973,057,082,188,640,888,798,317,084,780,038,
500,952,306,953,316,344,022,671,817,494,966,699,466,312,458,286,749,327,590,
778,670,139,384,524,394,410,818,192,217,706,637,711,874,388,620,232,305,671,
461,389,016,587,504,350,706,071,711,625,537,490,674,621,822,622,558,576,097,
154,696,870,850,064,872,830,796,310,292,807,748,041,403,059,586,838,684,855,
947,394,389,115,234,014,816,131,160,953,461,221,377,386,242,760,058,881,846,
450,754,913,223,449,264,930,393,804,312,513,458,222,807,386,910,573,014,227,
346,603,937,992,400,287,602,630,560,049,228,943,056,983,041,848,100,107,725,
002,930,772,746,675,675,696,044,672,510,547,349,934,594,153,161,986,707,144,
793,542,632,697,434,386,596,362,900,843,153,771,869,783,099,418,219,107,913,
620,935,458,477,032,078,189,423,746,321,632,717,361,908,609,895,116,065,983,
159,484,572,394,281,539,094,786,117,479,142,469,296,049,723,663,326,862,429,
228,479,341,397,784,583,322,008,406,303,737,066,395,205,693,730,194,835,286,
955,365,019,314,148,967,840,932,826,049,590,158,083,350,112,597,917,373,821,
792,500,291,406,589,898,118,772,757,611,127,363,507,182,680,851,243,869,032,
040,398,979,186,523,733,674,207,286,507,918,243,121,266,515,432,635,674,128,
495,263,304,496,419,077,889,536,175,082,739,179,171,484,790,888,646,525,875,
326,154,882,762,336,792,741,125,581,038,537,930,091,462,661,330,131,872,254,
415,149,462,738,702,524,723,004,361,474,920,508,422,511,471,983,686,329,780,
677,776,964,272,596,302,164,319,720,064,620,242,721,580,111,267,625,849,524,
054,286,207,260,417,846,485,693,963,229,448,705,749,262,609,930,667,396,315,
481,195,431,130,818,967,331,172,827,668,307,373,649,369,252,535,900,861,407,
415,381,122,893,385,837,981,673,325,617,429,955,012,716,357,979,920,504,468,
289,519,620,776,506,753,335,935,146,374,956,028,065,584,123,236,475,470,572,
473,601,217,958,455,958,777,782,682,764,036,178,320,886,323,480,515,401,834,
982,431,437,437,140,503,780,822,262,535,219,607,853,895,828,652,529,326,797,
320,581,471,606,753,707,449,320,831,519,628,018,425,446,623,970,609,167,938,
263,598,694,785,584,452,976,807,284,089,042,633,787,522,771,793,103,712,541,
469,803,434,688,515,899,930,467,325,804,493,376,485,992,257,684,801,037,951,
776,092,854,679,466,694,708,701,827,371,871,030,312,271,133,585,339,852,475,
114,071,087,963,806,781,514,372,418,650,562,210,534,376,549,851,323,235,556,
306,026,619,278,516,569,325,689,951,431,359,510,464,930,776,217,777,284,886,
022,708,389,566,163,465,876,835,717,881,977,630,946,115,960,478,853,259,922,
400,887,527,240,437,002,384,651,538,611,159,702,724,073,641,121,556,631,128,
906,245,608,096,491,460,930,804,086,221,512,844,237,306,172,843,098,273,771,
848,021,972,527,710,713,594,575,014,599,738,103,477,244,206,298,508,589,218,
767,162,502,588,673,731,570,962,097,964,105,118,113,232,537,525,824,019,484,
967,919,545,530,754,085,007,915,250,728,053,329,527,605,126,131,939,675,116,
420,940,203,003,586,251,321,061,699,648,822,068,222,223,031,764,927,910,929,
577,361,673,342,965,931,441,307,641,756,066,589,766,016,891,036,304,251,198,
123,389,862,222,517,767,455,746,800,202,942,375,089,213,894,730,740,363,491,
771,735,161,607,120,273,715,020,727,423,782,939,831,769,209,788,891,369,705,
120,261,339,556,467,926,450,531,614,745,995,412,843,226,811,377,565,395,041,
533,374,134,187,995,011,317,232,300,713,349,229,322,855,824,906,861,670,158,
820,217,583,429,321,713,986,906,890,214,162,315,375,631,885,716,020,477,278,
128,617,846,596,942,794,058,372,225,617,618,379,739,128,515,756,678,268,908,
127,274,055,237,974,309,036,291,411,578,359,167,415,010,519,099,283,416,103,
765,940,064,653,582,387,737,082,779,280,119,571,057,541,126,147,656,543,990,
713,491,754,928,916,897,258,240,702,271,195,898,376,669,828,851,256,605,047,
548,000,736,808,716,911,032,312,152,605,883,506,768,156,656,678,221,157,254,
240,543,856,566,293,630,242,213,942,584,177,163,621,942,763,678,985,019,890,
611,140,902,070,666,703,582,830,260,351,392,465,266,801,173,157,527,432,410,
006,181,754,466,450,824,537,294,983,978,118,742,739,641,507,242,870,968,754,
562,151,006,389,537,746,387,808,602,853,368,984,020,266,033,496,890,754,031,
359,055,933,989,087,839,529,245,067,493,664,824,582,111,353,491,315,578,240,
324,084,142,669,498,950,562,595,248,226,867,685,145,873,911,551,496,519,213,
761,039,147,800,515,973,952,143,814,430,553,989,949,286,814,731,717,415,334,
575,717,579,908,815,299,319,074,691,113,544,332,180,594,963,535,789,139,964,
261,205,122,255,513,027,366,300,791,595,535,666,871,082,757,042,294,679,881,
928,765,387,191,648,586,691,526,205,992,790,274,535,218,210,923,339,845,250,
797,053,334,905,267,229,043,562,735,694,628,942,402,595,517,858,055,829,236,
342,926,543,345,815,306,756,646,996,653,584,204,246,567,584,312,564,970,707,
818,162,231,132,590,749,659,280,999,990,972,447,752,414,086,782,464,901,749,
124,367,257,918,430,629,361,983,134,929,575,980,365,511,630,202,246,565,820,
015,443,766,854,009,974,544,617,438,590,808,933,469,733,421,240,736,990,074,
145,987,014,330,127,501,825,023,956,480,187,232,815,117,242,249,624,723,237,
311,512,093,840,299,582,522,768,850,344,836,842,897,946,263,604,717,597,524,
763,987,632,590,701,793,658,118,161,149,320,685,126,660,674,334,636,117,892,
159,034,210,732,801,808,454,106,694,422,804,179,372,737,921,347,363,915,302,
606,853,201,568,571,972,880,379,898,459,931,118,287,916,708,376,607,787,552,
213,046,277,390,911,053,306,036,336,831,750,347,451,601,288,193,663,815,068,
044,316,022,915,139,670,747,314,354,160,265,991,904,694,319,787,000,043,387,
200,776,666,781,988,626,905,338,772,804,527,708,585,503,909,248,436,452,981,
625,753,110,412,535,316,048,045,675,090,986,390,264,982,317,182,557,036,091,
585,122,340,210,201,287,097,684,137,589,280,910,370,833,468,549,510,384,579,
214,907,765,121,455,803,173,915,956,081,538,623,606,369,614,341,021,348,903,
112,555,114,356,631,002,499,930,275,906,562,318,814,260,561,924,934,973,370,
419,528,288,982,635,700,083,700,447,594,509,129,150,418,173,762,754,849,215,
733,347,846,656,513,217,207,914,992,161,564,129,826,384,568,434,271,802,148,
342,358,180,346,781,601,964,296,120,310,642,965,328,799,545,881,429,773,323,
061,818,666,467,898,612,016,683,445,459,791,121,783,668,825,872,208,542,212,
278,418,536,475,733,125,250,654,920,599,854,893,769,754,488,151,953,539,725,
426,105,068,913,231,136,528,644,786,426,041,932,012,012,775,909,839,476,746,
953,308,677,493,535,314,115,668,431,458,090,823,629,832,052,269,633,289,579,
987,228,405,071,974,782,998,835,418,658,122,022,724,989,857,662,611,221,955,
553,264,300,872,977,587,866,714,761,743,599,453,564,342,215,543,742,548,001,
194,417,075,450,868,368,308,678,245,171,462,578,265,599,147,711,838,203,659,
185,366,858,456,170,493,242,177,359,380,595,013,753,944,190,344,366,170,541,
973,853,442,170,884,330,049,334,205,080,997,996,655,931,836,667,386,170,179,
310,261,907,323,740,754,213,308,301,470,430,189,863,490,077,067,375,965,111,
413,016,818,549,090,024,897,786,611,541,376,740,159,519,745,497,595,983,758,
611,904,699,878,813,581,857,739,927,537,109,878,223,620,855,798,562,414,012,
012,429,359,195,273,825,850,071,205,212,141,927,890,937,126,190,994,333,591,
264,141,836,945,102,396,506,997,629,167,893,177,826,504,275,278,435,568,928,
376,743,813,353,680,730,539,691,433,942,980,744,795,283,158,612,082,353,512,
256,930,714,721,461,627,310,450,445,757,889,788,326,868,600,594,639,974,548,
829,531,423,980,108,535,290,241,952,469,819,634,309,640,866,116,592,997,352,
994,358,466,700,418,554,559,073,629,753,381,756,842,066,473,209,258,678,816,
284,775,721,616,273,731,430,798,287,328,932,993,143,755,569,323,589,351,357,
494,805,184,635,464,526,990,400,527,444,554,830,411,922,156,292,633,484,450,
106,179,609,788,199,678,627,600,322,851,210,576,074,046,016,379,305,662,536,
841,413,506,332,810,310,392,384,233,197,376,476,374,944,905,595,322,985,023,
712,249,334,330,729,975,697,025,560,904,237,304,507,194,705,478,320,849,179,
715,541,673,128,456,696,232,614,146,807,727,930,456,723,802,049,066,177,266,
456,809,478,608,561,974,813,811,261,681,430,138,978,119,566,769,914,760,909,
018,164,889,952,093,971,673,896,534,417,995,641,959,349,696,759,253,413,192,
663,623,852,107,541,547,056,999,116,732,493,697,524,166,804,597,183,789,219,
923,759,080,102,928,371,094,966,429,906,393,008,268,057,088,134,164,540,315,
583,058,943,617,273,942,842,128,333,487,508,958,613,035,234,747,765,627,015,
584,955,035,517,691,466,022,756,706,655,386,121,058,909,502,831,626,155,254,
103,037,910,798,382,011,061,009,710,364,446,127,111,013,776,286,704,849,248,
622,914,118,516,266,136,933,219,070,240,450,656,717,297,780,472,916,315,105,
977,736,261,136,857,157,756,371,245,861,322,687,962,818,554,907,157,900,721,
081,758,848,969,052,240,173,371,578,132,709,064,847,057,728,959,125,664,661,
678,971,824,278,126,443,524,413,616,561,157,503,463,593,639,347,428,325,265,
745,861,492,810,263,064,160,296,420,013,636,328,348,995,633,920,970,015,711,
190,738,557,846,751,380,702,092,215,031,349,123,455,447,967,922,795,548,098,
301,171,805,507,202,550,901,561,822,476,904,867,039,295,978,424,573,032,913,
887,730,739,560,901,332,774,987,215,514,126,727,487,608,773,704,930,434,314,
847,899,441,950,861,801,943,221,557,718,879,727,217,597,986,967,713,053,027,
176,189,377,853,040,083,800,509,579,769,199,322,252,798,903,085,904,187,112,
794,559,936,161,315,505,651,084,734,704,821,284,336,923,892,011,470,707,957,
171,892,002,728,381,094,129,311,476,140,442,293,564,761,853,223,471,898,231,
128,420,325,149,578,782,819,091,388,032,695,604,456,119,225,478,229,448,503,
855,073,556,744,590,060,604,462,224,336,687,787,323,455,256,541,239,104,839,
273,396,620,774,065,289,897,295,752,013,842,292,006,513,158,426,199,144,918,
830,968,698,798,667,830,643,451,322,248,469,310,634,967,969,195,959,270,810,
282,312,672,358,053,055,455,018,697,213,896,271,080,508,294,344,940,393,244,
443,264,455,015,613,654,166,713,823,479,295,758,186,837,015,625,969,286,147,
421,004,269,185,809,214,369,382,488,443,975,798,459,351,608,221,586,621,660,
601,196,668,455,159,514,648,127,512,195,138,045,094,329,283,751,702,198,974,
143,975,080,905,191,728,047,446,131,929,689,334,802,231,010,185,397,228,567,
338,899,364,823,785,737,688,535,915,301,403,797,334,578,250,761,204,871,741,
831,219,059,622,492,335,760,698,476,260,653,927,300,901,033,036,460,638,022,
750,999,313,654,135,741,207,683,794,477,338,077,149,606,939,818,681,873,905,
591,730,376,380,368,788,906,447,716,776,267,205,858,789,937,658,081,215,307,
663,293,927,933,302,240,549,911,497,275,658,534,998,989,165,438,474,596,874,
280,517,833,404,889,175,886,051,460,323,354,304,604,889,782,901,149,344,986,
688,765,550,783,582,660,807,654,690,420,920,458,103,015,695,923,527,221,726,
534,062,589,471,383,799,307,497,780,829,697,928,354,416,548,366,079,889,982,
183,518,777,770,089,593,080,900,884,939,716,782,784,691,476,307,067,057,951,
276,554,887,505,457,366,110,412,024,658,423,162,941,240,608,549,719,900,338,
507,266,286,537,344,045,666,663,015,159,393,192,466,903,080,620,358,420,658,
215,326,276,660,290,627,606,204,811,311,162,511,867,806,826,661,030,020,038,
097,883,979,210,068,096,525,258,168,429,603,187,955,537,541,298,976,714,936,
430,266,905,791,877,792,665,398,529,513,517,157,854,264,577,206,141,690,991,
953,299,765,472,908,161,407,581,259,746,699,626,227,846,920,285,915,065,755,
192,582,515,992,940,554,392,584,560,571,468,930,898,605,077,763,906,757,968,
247,638,479,204,757,471,376,200,773,975,966,684,787,045,029,749,295,832,369,
901,441,212,955,731,128,791,385,752,402,906,855,229,758,287,742,843,600,476,
953,253,347,592,780,202,847,566,645,373,330,494,903,971,889,548,481,476,217,
910,257,131,653,028,551,329,082,049,584,050,715,561,376,145,661,629,730,067,
811,910,323,650,013,549,874,606,722,001,750,988,661,165,870,351,624,494,936,
393,695,003,891,869,984,236,889,258,458,185,178,467,289,937,384,285,637,634,
892,748,100,210,171,957,679,021,248,424,270,234,450,090,669,833,328,267,631,
348,953,704,413,069,333,361,744,102,976,040,516,802,511,047,196,109,281,576,
098,883,413,832,079,407,754,775,843,806,153,492,094,115,406,815,226,528,236,
971,542,835,434,744,884,785,841,945,519,134,906,283,805,753,524,767,098,798,
884,521,044,205,291,799,801,954,785,611,070,703,201,113,365,962,515,362,259,
450,540,173,374,992,073,726,028,316,196,055,764,434,593,736,434,790,464,184,
489,425,502,420,575,439,621,447,112,846,024,628,345,226,152,211,137,115,483,
276,355,298,712,027,530,861,486,410,120,084,608,828,326,072,497,830,118,426,
563,269,816,268,863,461,583,222,421,472,909,491,026,144,480,723,294,486,697,
099,624,856,148,185,645,504,932,328,530,334,497,914,427,522,782,573,449,072,
039,396,545,306,168,162,975,968,318,943,157,154,471,504,681,067,808,810,253,
572,637,225,383,202,256,625,351,835,368,140,525,499,928,166,166,024,252,628,
391,223,862,884,405,578,730,013,921,373,798,370,640,993,889,521,009,186,877,
392,100,950,341,735,640,755,260,051,468,441,861,797,120,414,780,839,203,867,
556,987,562,826,462,445,864,493,529,625,010,732,832,367,477,674,723,543,582,
967,474,147,377,862,302,490,344,481,835,053,302,428,852,794,274,933,759,070,
450,025,419,772,308,742,159,248,479,338,683,539,116,184,848,073,389,921,438,
766,055,785,835,264,340,539,116,770,174,104,103,717,978,828,107,401,167,912,
925,522,011,837,619,420,882,394,265,988,270,570,050,155,416,450,294,480,427,
670,270,427,954,490,467,431,725,307,868,838,678,422,582,445,955,929,606,184,
210,927,300,804,237,986,549,143,586,852,820,615,615,332,694,871,661,454,222,
456,562,259,371,435,523,204,070,975,471,056,541,522,613,052,083,671,199,858,
234,520,589,165,870,124,027,702,318,332,028,299,202,259,878,061,782,839,461,
456,773,521,932,349,119,989,668,395,320,416,438,287,530,371,557,897,358,072,
740,215,829,036,021,483,485,226,222,747,330,925,773,763,925,867,335,618,232,
626,737,472,184,300,591,426,467,652,870,888,972,248,950,094,544,569,635,208,
356,543,045,750,770,239,645,709,199,685,014,475,788,744,628,638,649,091,707,
660,734,401,484,660,205,586,283,806,612,579,249,101,880,229,211,710,132,915,
662,393,185,371,568,970,134,928,066,376,440,429,015,587,535,610,252,871,884,
358,341,791,062,943,948,411,765,905,984,308,401,352,277,907,883,545,738,105,
626,430,001,149,163,319,564,865,051,281,610,204,241,005,600,680,276,959,536,
446,367,514,279,442,213,042,090,986,366,427,823,498,933,036,128,881,680,009,
789,555,070,714,672,284,964,803,666,271,167,002,330,483,462,214,106,089,730,
681,706,799,432,223,979,530,876,628,120,289,847,223,917,877,182,422,639,824,
462,518,097,920,933,533,318,561,544,009,998,940,854,615,878,976,815,622,429,
823,786,120,427,746,060,559,074,969,488,566,774,701,538,299,239,930,257,074,
078,041,380,021,893,197,486,780,591,292,214,374,976,711,713,114,667,332,294,
588,619,192,238,473,635,337,646,900,351,366,695,645,335,838,988,828,741,698,
856,959,527,416,716,428,098,259,293,752,178,824,776,045,987,359,621,689,442,
246,281,265,396,427,510,910,974,532,867,815,345,975,229,998,793,138,620,022,
340,004,022,789,150,424,332,922,558,904,671,952,402,500,237,599,185,407,201,
460,809,695,188,870,713,288,404,112,075,185,254,273,701,035,779,389,258,500,
211,345,824,799,179,055,317,308,530,840,292,327,045,896,822,611,894,412,565,
101,651,878,485,042,415,510,373,856,199,388,018,478,850,229,961,765,488,503,
263,712,392,603,685,535,081,401,203,725,005,212,286,126,625,406,418,046,260,
624,458,224,041,305,200,663,480,820,389,867,043,740,230,561,553,660,679,891,
529,718,251,853,836,456,380,566,316,061,814,101,839,904,615,174,875,476,995,
114,357,724,315,012,591,344,075,118,537,557,197,649,974,565,719,290,398,451,
103,353,934,139,550,631,114,618,234,265,910,888,906,217,050,196,496,462,110,
989,897,444,059,118,583,083,892,143,212,584,236,710,340,954,339,112,645,046,
209,626,287,548,286,225,430,752,362,571,444,146,915,119,905,087,397,921,918,
195,320,732,968,546,034,648,718,493,927,813,437,972,167,316,581,503,599,264,
872,606,914,111,538,873,368,231,057,868,711,310,162,537,181,887,707,374,133,
213,113,937,561,389,278,770,553,581,351,583,908,718,705,932,551,186,783,928,
760,725,429,283,307,292,162,374,374,533,791,269,879,151,244,602,731,567,007,
332,743,268,291,742,551,260,453,439,139,796,073,744,105,313,239,429,020,332,
893,903,253,549,576,253,174,481,432,440,883,354,539,323,554,649,373,087,761,
827,604,987,526,691,497,509,469,142,863,615,438,296,270,397,625,143,729,808,
397,072,475,023,793,701,732,650,697,836,508,701,422,466,728,839,258,533,651,
195,017,690,942,241,160,123,591,786,964,704,844,465,241,299,563,630,925,323,
517,706,767,505,352,214,944,649,219,531,368,165,440,056,024,670,609,606,420,
788,320,489,328,661,348,614,398,354,222,461,754,934,802,997,817,596,722,119,
492,135,637,003,369,247,347,950,586,256,803,813,763,734,528,016,527,504,841,
304,169,172,958,513,055,707,888,332,549,813,305,156,480,726,844,930,835,071,
149,710,627,066,414,580,983,798,845,474,369,207,563,341,613,481,490,899,643,
673,610,053,346,472,287,773,263,117,554,990,759,614,259,582,618,318,776,304,
870,275,072,259,457,094,229,783,909,127,544,825,685,555,012,849,064,778,580,
441,654,941,949,854,686,082,937,780,477,083,202,625,631,107,264,433,993,938,
630,957,992,939,082,052,977,741,435,371,421,560,546,191,719,751,285,546,723,
478,666,987,201,879,417,950,151,185,870,250,016,451,520,761,088,404,744,212,
216,042,665,111,434,609,974,404,741,830,068,309,044,314,639,091,313,150,662,
795,788,491,466,071,206,579,504,005,011,518,846,423,160,160,103,215,683,997,
621,887,269,640,813,775,462,545,728,500,102,034,548,176,538,178,991,777,874,
502,764,500,574,282,718,872,218,071,152,257,526,856,384,744,783,672,802,262,
354,823,985,686,414,243,515,927,461,780,921,326,972,948,752,557,665,923,292,
428,316,607,093,902,689,585,962,529,254,565,995,449,171,747,826,803,078,112,
680,649,314,641,524,685,754,046,952,888,959,073,880,276,617,176,581,408,259,
577,703,080,302,909,057,993,371,630,933,057,083,322,976,055,183,376,882,174,
005,114,751,122,048,706,226,243,217,427,355,138,506,000,044,395,083,199,306,
383,944,726,241,040,486,981,975,302,748,345,634,900,216,675,059,964,939,331,
451,769,831,976,256,072,967,687,835,757,755,290,747,416,217,952,868,278,600,
893,600,196,664,393,394,534,698,372,479,061,113,628,153,817,026,710,347,661,
117,511,695,342,878,034,169,327,374,413,525,590,628,202,695,473,220,527,829,
930,227,841,036,467,500,532,142,932,533,721,881,262,626,341,255,472,095,197,
810,548,648,465,694,111,170,281,826,334,143,645,045,370,590,803,811,647,998,
539,807,810,994,523,375,826,446,400,969,101,660,726,046,221,500,401,902,748,
250,946,731,909,803,871,990,451,231,045,328,039,376,655,961,482,832,362,984,
318,824,419,095,904,901,616,705,709,784,497,411,036,371,935,948,571,515,149,
869,226,619,174,977,015,315,099,618,133,169,786,095,450,673,994,905,669,968,
228,254,337,704,555,119,801,849,974,465,843,840,212,027,640,926,780,813,261,
616,434,074,654,384,420,758,122,917,030,665,923,716,061,910,048,661,180,949,
686,498,348,493,036,119,401,683,696,071,277,709,532,192,243,295,386,783,247,
105,765,670,056,521,125,212,734,441,123,749,520,159,384,988,184,009,588,335,
769,234,071,571,647,572,362,859,832,438,263,326,876,024,672,451,722,193,781,
965,008,720,582,579,875,881,501,596,822,344,808,478,622,531,582,692,658,661,
657,796,191,921,275,103,077,601,890,952,775,665,046,775,476,633,915,349,280,
508,179,272,255,986,122,097,252,692,006,037,102,113,321,054,450,483,022,441,
265,204,262,188,156,261,226,318,968,853,766,479,428,905,011,005,220,862,456,
336,404,909,026,975,829,754,403,951,797,484,746,119,657,549,913,154,407,852,
876,902,155,220,036,100,196,931,890,993,779,919,391,991,242,932,589,178,716,
588,858,506,398,849,037,929,934,993,831,194,330,345,786,036,470,280,391,737,
476,373,453,007,176,287,524,287,317,053,576,033,214,557,055,628,147,415,162,
446,290,530,614,154,918,663,002,835,412,178,076,713,130,218,219,281,023,439,
734,435,736,191,649,376,513,788,806,211,590,460,543,897,783,569,976,364,232,
526,575,558,273,078,085,759,105,269,607,456,119,721,074,465,259,119,909,110,
203,230,066,328,351,120,871,939,694,608,542,775,093,706,770,731,238,837,077,
248,744,530,603,722,537,577,244,532,060,244,171,299,446,175,104,277,837,770,
524,782,203,146,192,994,064,245,066,169,184,412,754,750,822,324,709,728,903,
070,480,508,003,981,552,132,759,025,450,282,915,269,482,867,797,432,528,102,
546,809,154,507,015,917,032,664,251,401,709,149,774,778,940,945,872,841,708,
768,088,846,070,598,910,123,146,669,194,219,955,648,950,257,966,324,789,298,
561,461,399,705,758,695,058,285,510,551,148,657,124,666,089,302,670,510,817,
383,183,841,378,403,144,222,910,902,974,895,380,010,591,368,054,559,886,379,
980,201,304,009,361,825,600,862,908,358,884,674,847,239,843,239,515,780,427,
582,945,683,628,250,725,667,763,294,038,695,405,332,311,281,832,431,928,311,
412,637,209,064,754,293,881,705,864,765,747,769,409,510,627,540,657,323,888,
254,082,505,633,621,137,695,426,320,170,819,603,455,462,766,188,259,507,904,
951,944,311,896,752,038,808,754,630,377,057,018,744,532,779,994,193,049,480,
109,961,575,145,343,519,401,300,614,837,857,651,475,085,361,169,839,313,812,
202,859,946,321,419,006,132,226,578,589,292,958,918,604,153,871,144,972,957,
957,842,515,124,163,092,469,753,486,616,635,037,829,926,160,244,256,096,153,
665,133,647,053,667,951,344,313,601,204,200,780,684,171,569,652,254,267,485,
783,426,443,289,859,485,977,981,834,809,308,239,724,336,649,657,047,552,338,
154,347,114,515,922,793,852,835,492,706,539,997,565,244,453,650,205,692,820,
922,363,861,815,087,827,321,378,276,923,245,826,699,729,649,736,966,525,838,
493,412,813,935,722,045,793,592,497,770,903,220,014,191,965,032,845,834,628,
525,010,159,743,458,695,335,424,665,365,086,246,031,834,243,051,275,157,245,
704,206,142,823,524,747,726,522,610,133,579,231,187,590,728,997,048,098,370,
263,430,359,955,937,730,947,269,894,471,735,767,418,295,671,031,726,568,946,
766,310,204,296,863,248,320,783,555,209,756,403,778,758,987,089,043,196,827,
213,005,702,653,122,010,973,807,403,794,561,126,050,523,371,828,481,291,049,
765,064,352,321,724,975,708,201,301,804,127,234,588,571,988,539,247,930,102,
631,697,114,342,017,850,662,576,194,040,983,230,296,537,271,891,623,638,610,
526,686,935,636,543,378,375,022,331,873,334,939,423,949,713,556,003,647,883,
063,555,164,054,659,692,784,148,595,994,200,834,029,622,117,301,392,306,503,
387,353,113,597,276,396,957,643,002,067,475,637,268,664,906,088,963,845,067,
132,242,766,216,212,169,295,000,288,817,237,354,006,580,962,810,788,482,472,
038,455,746,575,276,564,296,793,168,452,931,619,145,249,163,699,082,308,975,
122,121,715,810,777,932,413,808,499,012,671,064,349,068,960,080,101,513,054,
121,534,549,020,079,439,288,512,062,967,131,826,228,920,144,248,114,751,894,
530,134,232,631,637,883,645,021,794,852,417,809,929,130,029,599,279,039,323,
779,720,406,179,842,645,776,852,752,197,912,674,828,346,058,946,474,283,748,
533,562,087,383,239,925,445,571,912,203,224,954,737,610,704,985,094,546,336,
018,809,209,806,222,801,713,812,899,083,490,720,268,211,945,597,278,173,030,
042,884,704,522,929,021,405,584,593,242,445,406,888,133,050,734,634,563,681,
184,489,595,404,066,290,414,383,573,239,760,318,505,517,281,335,636,593,580,
458,427,554,773,165,287,913,787,744,615,729,424,085,885,870,714,548,729,816,
864,453,048,914,696,927,915,104,218,016,302,591,500,395,368,038,645,339,777,
024,097,121,187,515,663,090,697,278,527,149,095,417,186,032,876,009,244,390,
679,902,422,440,824,084,449,915,720,568,299,856,091,835,867,184,313,195,993,
769,994,105,416,423,936,840,629,523,159,291,837,490,677,735,283,126,288,773,
933,522,434,455,417,277,066,430,781,972,491,147,972,864,740,754,792,709,070,
949,952,204,702,778,420,615,497,574,392,546,966,776,484,150,360,904,980,951,
749,353,309,150,438,848,883,837,434,172,990,681,739,731,142,103,004,210,313,
826,197,827,932,452,456,097,811,896,474,159,939,533,669,542,857,807,756,075,
298,257,188,376,177,420,231,729,863,596,649,210,751,483,155,666,970,128,207,
101,259,094,038,628,293,430,977,924,349,946,046,922,835,424,609,630,865,244,
011,964,778,543,604,687,777,255,132,488,699,633,678,873,074,054,966,123,040,
988,467,228,882,470,189,987,105,248,188,534,195,649,310,868,016,022,845,298,
839,271,018,612,754,514,125,302,123,155,429,397,241,739,277,224,146,246,827,
144,873,233,307,362,132,858,098,521,298,313,058,719,288,654,096,611,271,705,
137,840,403,362,913,226,269,729,819,402,614,659,796,515,405,917,675,637,772,
852,720,379,750,420,926,668,544,000,545,780,486,180,272,099,800,496,577,158,
305,844,738,401,417,113,247,338,900,901,401,040,357,235,253,983,380,398,840,
731,060,550,743,619,783,229,577,649,477,581,976,989,355,464,878,144,355,665,
161,349,212,882,812,223,299,881,048,077,568,244,552,417,073,403,284,761,517,
664,752,369,154,818,824,354,085,102,887,332,287,574,478,174,230,239,984,089,
688,172,785,856,221,966,031,519,323,293,062,796,344,409,472,895,169,526,449,
621,158,057,353,570,918,899,687,406,051,384,488,858,081,506,024,728,678,651,
182,110,511,268,458,038,831,870,789,387,944,138,105,913,605,852,605,922,855,
220,850,375,803,818,407,877,721,482,618,316,910,868,957,803,053,538,181,027,
414,657,057,817,061,580,941,994,489,767,964,987,810,261,407,726,477,125,856,
463,952,261,142,710,374,600,651,297,996,961,788,094,681,670,393,870,999,954,
283,194,586,304,918,228,222,632,207,124,694,608,192,435,862,870,314,016,335,
400,961,212,834,394,852,603,942,236,734,990,442,159,959,858,424,626,550,679,
477,764,278,618,626,305,997,129,475,036,372,012,305,370,516,730,426,950,363,
274,666,652,725,885,343,975,777,150,848,467,413,991,852,721,048,077,674,239,
662,719,597,699,921,211,119,895,220,883,196,937,267,753,339,946,606,387,791,
625,697,299,730,561,899,707,331,806,326,098,250,280,717,594,137,950,247,150,
395,069,784,266,175,850,701,805,350,051,039,182,874,588,450,326,683,202,766,
449,841,715,018,639,253,462,117,786,814,910,227,201,319,276,651,784,280,944,
672,830,796,076,931,309,068,093,228,071,161,550,052,735,843,419,898,101,744,
911,039,150,212,984,351,686,762,437,224,779,615,821,093,720,146,462,555,814,
836,655,249,412,954,414,829,837,021,436,982,509,119,727,094,693,908,420,200,
597,632,848,759,539,413,627,961,460,608,879,353,585,148,134,487,265,272,487,
285,077,835,201,156,411,602,745,112,573,622,718,446,081,382,894,986,339,630,
221,087,628,229,776,465,935,322,793,936,933,509,175,802,635,095,282,749,728,
659,998,118,049,016,965,316,529,569,591,291,932,779,626,465,185,848,948,613,
606,772,781,618,590,561,421,790,076,499,376,834,570,671,507,117,522,479,183,
887,076,492,344,244,574,723,685,897,241,762,194,344,157,444,530,771,809,793,
033,356,717,682,482,964,316,166,818,565,954,290,881,524,967,294,392,652,993,
270,353,154,159,408,970,911,693,304,724,006,275,255,598,550,690,713,507,695,
241,448,757,474,596,861,350,919,811,762,874,659,665,547,247,971,129,428,709,
205,653,480,505,693,551,719,319,126,741,914,026,729,644,014,707,404,586,124,
357,348,684,780,198,141,775,563,681,137,652,785,418,870,120,412,455,852,682,
973,584,209,907,581,760,748,447,433,983,976,395,035,227,587,595,413,424,692,
426,440,737,216,685,272,574,606,778,033,564,519,532,551,854,839,946,208,242,
420,704,513,100,985,117,981,100,170,674,876,084,156,870,808,533,252,112,207,
901,348,565,249,641,217,020,988,629,213,572,059,427,035,118,729,496,924,247,
576,666,651,067,549,440,560,950,411,044,641,311,709,939,561,463,781,198,129,
964,015,336,962,135,964,888,644,385,386,357,160,519,916,184,660,342,844,352,
608,388,847,986,869,167,940,314,261,817,513,811,241,085,987,951,002,253,945,
975,192,736,391,282,923,758,194,970,623,133,154,795,975,346,695,439,292,619,
774,982,867,317,169,323,767,688,175,542,649,453,052,126,502,889,289,881,681,
926,359,549,455,456,247,419,553,741,925,054,362,303,331,992,128,315,817,076,
340,512,393,773,808,702,188,975,094,812,886,438,041,284,997,631,316,511,447,
929,941,660,937,190,425,189,360,347,629,240,107,496,224,716,993,764,283,238,
369,561,288,000,882,459,314,961,768,411,783,476,872,651,291,439,917,461,152,
045,566,225,306,705,727,473,770,910,783,236,388,846,297,679,220,729,120,966,
314,785,346,598,813,009,571,513,395,289,460,516,110,397,806,796,938,519,679,
962,395,771,192,538,249,443,982,153,165,434,687,783,191,983,987,911,587,355,
212,651,033,611,062,533,827,088,350,672,748,832,876,694,764,646,299,626,816,
560,204,000,493,872,527,763,882,349,365,693,378,627,914,813,350,789,429,722,
830,579,066,023,959,355,416,266,452,000,760,883,787,615,506,680,278,984,569,
185,068,186,518,439,849,123,709,063,036,735,809,910,265,444,985,543,565,949,
365,047,452,626,625,272,049,738,453,261,793,252,654,236,789,685,624,973,713,
504,468,731,115,127,627,141,884,640,363,316,983,015,661,107,740,232,339,963,
397,127,307,248,246,933,768,719,090,464,102,021,059,751,968,877,464,999,123,
717,345,197,668,035,389,870,026,175,288,193,090,579,307,227,168,451,401,317,
817,120,381,787,111,985,404,704,286,204,490,451,943,311,712,402,764,844,006,
729,320,964,796,063,518,580,344,266,074,775,509,795,866,434,512,502,100,660,
060,695,721,356,528,594,041,287,889,894,945,966,918,915,779,459,093,308,626,
927,681,805,556,884,303,020,366,126,844,501,244,636,232,980,068,543,930,574,
549,005,213,644,997,975,759,373,394,717,074,684,916,705,092,021,100,092,997,
841,915,314,577,617,835,797,714,696,991,670,939,393,985,581,474,461,400,795,
246,051,262,944,243,558,412,934,027,534,634,456,279,698,326,738,966,375,107,
154,085,729,194,300,000,577,196,038,869,489,251,473,626,273,080,701,426,376,
499,631,611,458,968,910,864,289,480,192,175,346,643,164,700,453,612,354,099,
408,520,543,863,396,392,786,787,022,635,562,632,736,526,665,120,089,118,017,
434,340,325,778,311,873,400,506,966,575,234,543,478,778,110,541,883,004,396,
671,808,977,822,922,320,530,014,814,691,425,518,257,735,770,520,240,777,605,
534,026,134,688,525,972,535,969,109,978,055,890,369,668,987,891,547,903,511,
773,034,007,798,899,953,335,784,927,683,391,641,817,282,457,206,579,407,446,
615,428,726,392,830,309,630,579,073,229,244,522,152,309,017,734,372,018,292,
732,325,244,151,002,918,033,346,275,414,683,616,823,853,767,452,286,731,836,
286,204,929,474,638,722,718,627,031,450,664,354,865,825,740,457,293,804,092,
316,685,533,151,130,422,046,085,465,185,538,210,685,050,242,965,459,042,434,
511,341,895,762,483,086,581,718,792,701,390,932,402,374,247,858,914,169,182,
413,119,271,777,069,013,875,781,034,820,025,380,303,159,391,763,086,773,940,
690,054,466,312,436,199,326,599,247,312,205,293,984,067,632,943,474,505,183,
290,713,310,094,737,366,585,501,580,707,478,722,361,797,271,523,692,829,980,
704,067,530,844,016,989,066,582,580,490,527,006,883,428,635,226,795,349,881,
680,020,992,683,064,508,660,729,513,103,898,330,591,044,627,671,916,816,376,
202,743,161,479,931,620,786,662,766,662,922,990,760,009,469,464,132,300,467,
954,267,862,303,751,392,028,197,279,645,313,975,954,387,188,682,906,012,031,
556,941,433,658,981,422,624,222,899,245,331,347,088,535,765,290,983,323,791,
233,751,895,581,899,830,167,125,893,380,931,769,565,781,138,582,677,687,453,
589,133,274,998,548,608,718,603,541,827,542,516,418,367,410,913,474,395,322,
905,528,416,284,115,170,888,183,134,239,956,943,887,261,486,078,644,255,217,
248,230,416,816,141,587,767,728,280,973,176,937,115,071,890,576,981,564,097,
122,275,248,145,641,879,195,796,061,507,561,627,052,124,203,677,378,605,815,
763,437,375,756,149,035,867,735,993,376,098,913,226,743,788,129,271,814,701,
901,396,669,526,427,966,254,333,728,981,671,421,463,051,272,472,991,697,753,
633,448,477,059,799,676,728,408,047,420,278,072,931,831,144,922,989,925,612,
195,452,415,664,551,162,948,920,222,013,655,397,888,539,414,492,903,308,622,
714,496,426,481,294,354,561,233,668,087,146,386,903,924,874,196,752,822,617,
180,291,829,766,466,432,462,126,389,711,318,828,427,525,879,748,681,297,103,
413,576,454,369,348,992,561,501,249,999,831,846,205,308,787,161,339,756,084,
898,849,867,289,019,586,836,384,801,854,701,712,614,964,425,765,590,631,201,
340,869,161,334,180,050,320,609,666,199,721,232,186,602,403,517,200,348,379,
534,045,354,234,414,411,760,090,748,293,473,194,394,254,200,604,828,140,389,
315,656,171,873,136,480,632,200,381,370,566,224,963,640,689,631,580,387,725,
287,722,581,447,371,815,737,055,011,183,311,043,309,421,473,486,246,725,630,
787,824,068,429,242,254,832,834,697,776,139,874,560,906,052,453,394,825,037,
116,788,922,162,508,973,268,086,891,518,133,461,947,395,159,229,517,527,729,
920,145,587,853,998,544,676,274,193,215,558,890,180,302,879,013,665,002,336,
129,488,557,208,061,264,766,394,313,748,689,787,317,543,442,610,106,342,779,
666,265,671,267,072,371,790,202,808,952,981,168,690,976,440,536,717,316,961,
323,966,759,080,356,192,386,330,248,238,086,918,384,583,094,193,487,564,576,
969,043,507,814,436,776,831,520,193,429,192,866,116,142,800,039,226,300,742,
705,562,349,244,208,971,707,175,827,883,934,985,574,696,723,485,800,551,727,
123,840,606,645,048,645,637,196,287,267,222,593,875,200,695,273,344,403,919,
522,812,739,875,971,349,337,178,114,196,006,313,902,586,941,459,764,439,499,
879,046,675,308,403,800,019,421,308,417,148,105,613,875,817,154,721,752,710,
932,182,268,953,832,158,983,677,835,430,801,975,375,080,573,226,036,053,310,
736,508,144,414,180,163,576,879,542,563,215,416,887,138,512,035,759,661,748,
679,193,778,561,507,870,873,699,118,370,278,694,114,008,467,513,125,513,406,
938,095,350,545,459,103,959,619,531,773,692,281,682,043,128,148,373,931,140,
167,765,843,947,887,732,438,324,827,557,622,703,994,676,480,299,143,599,592,
248,315,730,328,953,783,431,972,788,242,223,296,319,971,879,129,440,831,770,
801,280,942,264,303,390,170,839,135,740,461,759,324,495,928,223,428,517,222,
156,694,858,643,150,264,901,295,935,920,685,217,516,752,883,077,831,608,166,
619,387,963,036,059,620,294,745,032,906,038,795,163,031,385,107,668,444,889,
540,347,215,967,962,894,411,978,908,650,635,858,854,227,705,457,150,591,394,
341,154,034,513,008,893,446,065,121,143,163,535,833,238,646,108,490,955,365,
733,818,239,662,902,022,021,151,118,479,877,870,596,466,256,229,450,248,637,
711,710,235,594,947,389,562,803,404,062,761,450,124,306,257,130,308,256,350,
022,867,728,581,603,455,909,456,066,995,858,743,714,495,645,181,812,567,836,
925,459,192,571,650,561,893,818,453,968,838,290,653,224,524,476,344,636,472,
418,308,725,840,410,427,729,807,506,305,311,207,635,964,040,876,687,142,883,
620,106,718,342,457,584,065,387,863,426,657,764,227,930,860,362,390,018,570,
517,222,213,651,255,071,517,673,648,697,795,447,247,440,056,393,180,905,649,
678,419,826,216,327,931,905,058,570,351,499,483,014,423,795,436,113,439,792,
865,191,651,131,116,009,304,445,669,232,774,710,565,062,831,947,266,074,802,
828,609,029,474,761,209,515,006,189,354,322,645,548,989,935,241,890,688,785,
283,059,005,126,057,323,838,973,214,591,089,848,162,467,246,534,382,414,362,
059,376,766,465,754,731,340,271,450,439,107,933,474,014,309,987,474,009,943,
749,549,063,048,559,184,874,986,136,828,732,610,009,305,351,011,238,727,560,
449,963,615,904,332,523,166,966,695,256,998,829,333,956,703,808,010,379,858,
560,059,808,628,734,739,262,808,123,758,407,981,093,359,235,942,707,972,273,
591,134,873,745,222,538,419,503,462,648,066,628,161,745,948,781,293,802,064,
622,754,271,192,612,680,573,634,450,681,710,990,610,931,052,483,317,149,710,
699,048,793,059,812,046,072,275,809,891,983,391,475,181,892,961,212,172,920,
619,918,359,192,344,873,796,014,326,951,877,659,126,981,214,454,895,078,852,
382,891,348,981,498,286,710,289,141,529,765,308,960,106,459,855,654,745,747,
464,265,535,091,504,346,923,371,280,122,295,529,363,500,403,817,325,076,673,
543,639,330,053,511,365,039,120,103,843,945,522,048,145,272,137,717,999,030,
945,552,945,146,229,389,018,652,129,562,815,349,734,016,077,134,601,694,202,
529,986,363,980,156,841,884,223,864,728,748,535,321,905,585,688,451,054,767,
929,036,940,507,143,241,171,596,624,437,515,776,009,414,431,404,909,923,769,
554,144,177,059,889,971,127,939,194,461,959,675,069,034,540,821,334,538,865,
630,089,171,651,759,226,886,689,975,625,742,535,812,380,798,196,559,007,825,
818,264,829,191,314,228,926,120,468,559,964,702,795,367,511,336,332,967,411,
089,978,972,065,940,365,172,045,333,773,632,470,465,934,164,318,874,146,634,
972,289,352,620,432,045,063,435,863,960,141,885,114,814,926,824,784,112,480,
276,431,946,885,869,710,721,903,461,583,971,260,690,743,178,579,946,926,915,
751,516,944,702,930,221,719,916,804,357,470,555,313,400,951,291,518,794,604,
087,797,343,429,509,465,368,838,097,118,361,536,841,458,383,440,418,917,566,
206,070,543,640,160,965,246,922,879,045,257,164,144,238,697,063,383,485,253,
538,195,987,519,625,051,919,203,052,101,043,484,719,893,981,879,963,913,314,
826,340,820,031,816,399,729,100,031,884,077,402,368,262,790,788,144,376,831,
654,029,385,555,023,431,690,216,018,713,451,101,013,577,687,223,104,232,377,
224,755,315,211,370,708,507,408,152,999,666,647,317,092,447,615,795,756,958,
222,397,657,748,224,323,536,471,586,064,949,049,335,162,718,279,143,486,559,
290,082,730,479,995,442,110,887,564,742,410,425,787,851,195,777,059,475,868,
928,414,427,872,322,587,522,805,199,808,703,771,502,139,584,528,523,385,387,
534,680,706,245,831,396,937,964,429,300,762,147,023,629,720,900,899,892,170,
075,055,335,005,645,428,561,573,389,687,568,665,060,225,767,113,714,586,477,
443,479,669,205,596,658,226,942,344,107,986,283,080,460,255,315,201,205,251,
712,895,573,132,621,528,181,353,304,301,592,948,432,291,209,143,782,638,246,
053,835,012,738,276,092,197,190,238,236,249,843,933,038,111,677,229,802,271,
582,179,086,904,109,496,346,080,212,120,666,416,590,527,502,299,118,397,220,
662,831,036,200,772,079,845,701,158,093,854,726,401,971,474,189,932,009,800,
968,143,596,534,148,558,384,426,015,508,197,794,055,238,317,781,653,030,493,
769,575,085,178,148,210,414,647,582,301,636,073,003,073,382,087,782,085,066,
437,543,093,715,066,222,193,561,345,843,659,683,157,107,184,632,109,304,159,
204,251,910,875,811,616,799,078,854,048,682,463,484,274,754,677,674,466,197,
081,955,463,123,420,400,411,309,758,743,520,842,725,595,027,899,288,660,225,
973,905,453,800,539,391,447,003,916,953,965,789,061,580,725,319,439,334,234,
677,803,348,815,601,072,360,281,166,038,447,901,741,853,492,319,668,729,758,
378,210,744,526,798,204,772,759,831,348,864,045,137,286,964,725,508,544,154,
548,184,631,678,157,971,134,968,305,652,129,620,429,873,702,001,431,372,531,
612,636,357,461,015,009,426,445,156,068,038,645,532,513,805,018,735,449,561,
832,660,332,495,398,954,196,624,296,573,693,068,866,073,452,268,627,721,142,
319,510,034,694,577,181,667,816,282,182,813,195,842,042,426,472,556,126,973,
902,596,865,105,105,714,540,729,010,289,885,363,340,621,834,826,480,157,378,
344,846,676,640,092,560,103,634,169,748,468,227,929,176,576,861,411,912,836,
773,207,059,212,322,268,714,206,038,391,781,039,633,281,883,819,103,550,037,
192,596,783,288,763,648,864,423,205,738,553,967,555,772,530,647,401,027,737,
145,712,773,433,994,493,215,487,361,438,735,069,477,518,194,829,917,194,826,
668,399,263,448,240,152,694,150,388,363,649,961,568,137,430,857,689,640,076,
679,327,220,152,933,204,296,799,685,338,363,262,758,751,156,043,379,091,542,
832,570,340,031,060,588,567,587,289,796,328,676,820,591,748,875,387,667,137,
163,634,056,653,813,292,749,822,859,357,100,829,813,827,022,490,903,206,597,
772,521,045,742,491,075,568,233,085,720,855,251,328,096,868,588,457,720,097,
374,872,841,646,938,104,065,782,517,756,707,472,555,428,825,542,853,514,483,
923,209,930,890,322,052,783,172,690,009,316,656,092,281,914,446,549,649,228,
259,936,706,323,853,305,022,245,006,479,234,746,100,345,809,873,118,706,802,
282,313,000,144,575,676,216,150,396,358,849,345,505,790,092,961,521,886,544,
101,782,382,529,965,067,668,166,328,868,519,732,540,666,626,949,959,442,247,
872,572,269,378,678,323,323,545,558,738,298,890,874,056,496,426,675,509,756,
029,637,178,686,766,658,047,098,937,144,716,767,179,129,408,128,144,547,161,
511,223,068,711,957,255,208,112,511,866,620,260,587,826,599,325,506,833,777,
602,262,343,776,414,465,643,593,696,422,995,655,525,112,831,493,349,167,826,
990,542,067,636,655,829,966,678,151,618,494,961,190,207,566,994,827,131,352,
195,388,324,671,801,021,013,729,175,750,424,898,982,799,309,263,796,404,006,
304,445,797,341,923,381,338,346,327,799,853,805,073,167,311,853,353,493,799,
873,827,985,519,557,004,387,021,879,007,515,480,477,687,704,633,647,540,858,
026,181,652,864,321,258,078,257,022,043,947,542,422,921,431,194,690,324,810,
770,382,153,963,356,514,700,594,812,444,811,616,251,523,768,645,448,567,244,
544,468,821,928,589,071,588,800,156,011,963,154,016,393,257,819,468,280,626,
785,439,481,304,507,492,459,816,211,127,470,026,428,789,030,734,690,527,713,
203,067,534,538,958,199,566,677,443,316,468,049,581,410,842,634,654,182,209,
599,346,061,200,471,936,721,014,725,608,103,335,684,387,629,646,711,702,120,
749,783,864,634,299,495,101,885,479,336,791,470,673,339,837,911,445,369,482,
775,485,102,335,041,693,191,348,114,131,196,202,884,169,544,287,176,114,680,
470,305,593,888,837,152,422,811,023,786,330,032,716,643,110,816,992,271,450,
887,945,891,569,856,104,929,170,580,406,316,483,620,254,129,637,716,532,677,
336,701,191,152,051,408,250,919,825,210,151,773,721,674,641,016,598,387,430,
508,199,223,586,801,928,110,263,265,234,628,180,270,474,598,023,433,760,061,
836,660,099,285,771,223,255,794,388,272,431,947,834,649,203,279,740,257,202,
293,882,386,837,089,826,210,994,761,499,971,140,666,379,061,337,153,886,652,
377,963,920,744,868,477,252,730,100,413,229,384,693,231,543,544,333,449,858,
428,546,674,206,064,474,369,386,465,071,375,449,944,313,417,114,917,857,879,
837,503,168,003,791,258,773,343,987,846,037,833,379,582,744,902,850,413,512,
104,979,435,326,926,330,888,112,582,436,777,070,538,564,910,338,633,685,513,
225,674,651,287,812,338,360,255,556,680,548,672,997,113,929,917,528,400,759,
392,422,463,799,312,856,682,069,870,177,547,826,848,966,468,225,244,455,579,
043,119,280,145,751,050,707,805,915,958,450,544,095,427,614,344,612,899,969,
094,890,905,508,788,037,783,110,071,996,087,142,531,776,413,154,415,680,937,
094,358,033,160,634,924,245,198,144,564,002,446,812,323,411,561,527,701,555,
460,682,386,834,656,956,753,303,048,650,868,860,903,645,386,886,235,237,578,
469,749,187,622,831,323,411,534,137,563,573,430,012,993,284,205,442,007,921,
283,209,769,967,878,472,739,692,508,000,910,832,038,128,438,431,995,695,671,
038,053,662,745,105,216,624,296,384,506,300,607,313,104,353,824,266,066,965,
878,452,134,325,607,133,243,141,771,577,625,137,384,110,884,419,905,377,122,
553,831,082,853,488,453,528,949,290,600,480,939,752,911,618,150,214,774,616,
119,085,249,006,174,755,616,091,392,466,909,177,217,945,703,922,138,030,415,
377,223,034,966,223,075,550,997,273,808,302,334,141,041,483,297,473,353,693,
923,651,107,836,403,008,340,156,340,770,019,766,383,794,951,289,658,432,469,
856,827,180,529,319,384,774,858,695,609,316,633,953,058,843,246,521,135,323,
031,922,497,899,083,426,675,228,006,232,720,178,528,233,491,534,066,646,391,
677,521,541,812,339,739,964,762,573,110,912,691,385,606,647,662,618,866,939,
729,565,303,256,936,237,835,179,058,287,079,568,876,807,387,533,113,431,674,
643,039,218,568,092,680,752,321,298,542,101,138,127,665,383,132,662,373,545,
314,787,310,322,379,027,691,411,863,593,482,993,789,875,117,138,869,241,629,
904,148,331,484,146,016,483,782,667,881,605,369,801,370,665,450,774,356,442,
251,894,427,924,998,354,714,954,662,155,873,410,424,248,617,300,796,220,797,
230,244,262,582,335,533,985,774,364,968,962,172,015,380,195,799,586,907,898,
314,953,675,850,616,372,224,242,962,769,271,694,884,159,869,866,288,794,504,
521,916,657,314,995,257,107,415,182,346,984,754,722,866,499,171,391,102,797,
664,080,515,190,525,573,978,823,147,116,277,407,931,165,106,942,159,498,489,
992,004,339,313,967,478,264,344,771,622,174,629,016,600,211,531,298,081,827,
090,483,178,574,926,314,854,423,086,337,612,014,318,829,117,301,891,984,809,
559,013,006,655,084,341,110,976,403,800,166,855,920,410,616,190,195,225,052,
165,302,105,927,322,908,177,172,312,549,736,013,717,926,611,122,477,628,551,
720,142,425,221,972,656,127,898,959,064,687,893,831,910,196,159,108,521,875,
133,120,207,657,895,271,519,376,849,300,881,270,138,020,510,236,959,010,565,
716,668,471,826,092,772,443,241,863,218,736,327,531,610,165,154,438,388,292,
477,472,137,282,424,908,732,177,969,386,186,397,221,523,762,057,097,796,519,
620,804,857,927,911,694,994,644,133,695,996,427,733,673,936,930,094,296,723,
799,945,450,390,233,588,006,293,323,918,772,381,132,305,597,360,729,333,101,
497,527,046,373,808,744,214,298,592,018,192,572,985,854,951,775,880,734,786,
855,767,891,540,076,526,400,334,980,021,725,784,749,275,858,117,836,552,350,
995,186,527,513,796,998,725,135,034,442,301,789,724,449,226,062,644,625,552,
253,699,548,140,085,924,685,612,346,303,975,304,672,482,643,790,486,657,531,
255,357,652,126,302,641,002,390,275,056,447,601,348,698,335,616,306,654,886,
098,979,677,092,618,636,433,480,976,052,468,462,888,094,314,026,908,698,143,
078,026,277,797,161,455,226,052,495,617,649,829,348,358,241,926,079,207,202,
797,602,083,209,187,726,069,264,846,570,163,497,190,643,902,707,436,114,290,
516,728,345,103,368,671,193,613,945,582,024,456,238,464,874,068,780,925,428,
200,704,808,065,382,043,777,413,298,340,103,042,379,490,525,164,403,497,720,
383,906,723,945,886,057,665,869,704,428,645,220,958,123,117,127,396,675,080,
899,218,060,431,430,504,788,687,739,927,664,917,513,753,911,144,840,158,867,
231,584,894,720,518,907,778,302,855,583,800,064,179,414,411,719,440,500,629,
957,262,970,668,354,505,427,160,716,382,163,487,067,107,635,248,103,527,479,
576,417,655,476,195,069,836,389,841,764,661,300,442,480,832,941,596,515,689,
140,753,878,094,568,897,821,388,671,163,352,046,612,762,813,860,016,455,962,
098,906,354,091,842,185,615,717,247,598,154,689,419,239,458,080,155,765,914,
441,553,169,694,244,385,683,044,446,637,258,868,768,159,062,279,253,998,450,
702,042,967,660,024,559,698,506,951,380,564,402,163,581,279,690,023,668,584,
382,644,239,807,879,042,329,388,460,494,699,154,051,225,131,052,145,184,046,
889,244,894,462,493,540,454,788,033,479,128,098,331,997,157,996,649,111,120,
004,356,760,897,659,943,964,931,478,941,940,908,030,784,890,125,130,516,918,
987,114,185,779,072,694,442,194,101,949,316,626,580,090,064,388,763,593,755,
460,323,055,003,078,979,138,377,879,101,187,125,913,727,168,084,502,551,240,
137,986,467,166,366,781,456,187,453,338,288,305,264,282,276,031,212,457,601,
402,520,235,838,013,756,147,251,335,979,401,950,595,138,608,132,251,628,961,
295,552,485,230,976,141,693,211,841,895,424,296,203,720,662,344,439,185,001,
503,989,406,900,837,528,600,284,618,323,552,142,569,633,547,164,501,611,339,
204,865,674,348,693,045,483,717,363,952,799,585,812,516,343,946,966,204,438,
506,757,759,342,577,350,625,929,736,522,964,866,918,329,807,125,182,159,113,
728,156,212,594,661,238,428,513,466,443,329,431,675,450,097,434,018,821,533,
795,919,506,618,288,019,911,568,569,356,760,459,104,561,062,129,617,568,686,
960,250,828,284,235,264,999,434,736,837,681,851,447,082,056,405,475,085,127,
999,762,356,202,351,228,408,034,514,983,488,446,749,680,763,536,597,804,284,
650,791,316,981,557,251,122,492,944,473,469,482,717,501,658,344,655,333,951,
524,562,908,513,966,196,897,015,072,309,437,949,663,911,904,628,236,640,198,
310,772,017,587,561,559,371,017,593,902,353,789,927,729,076,935,567,956,597,
183,628,182,063,903,572,823,699,347,715,498,483,514,453,455,993,985,433,616,
159,132,923,055,141,039,972,763,456,651,968,199,971,374,938,731,373,472,157,
624,031,702,409,303,460,163,699,345,894,215,225,798,969,962,860,590,140,751,
134,295,424,146,205,364,313,793,607,676,444,769,316,231,542,898,235,211,477,
069,901,906,524,658,447,786,869,943,873,306,010,210,314,138,044,527,650,856,
165,718,040,952,625,564,342,225,057,010,185,079,769,370,073,359,233,917,870,
826,203,547,857,410,410,364,198,415,675,938,250,430,441,496,103,129,555,812,
804,991,623,785,921,161,695,754,095,571,596,081,859,146,084,395,771,250,821,
287,142,591,515,738,644,633,093,320,059,819,888,713,466,303,751,382,315,390,
879,353,173,042,731,867,150,305,142,163,875,614,400,490,287,484,955,856,581,
844,682,490,450,273,814,917,772,939,762,847,201,411,603,904,754,993,735,402,
383,160,023,192,405,281,797,614,677,141,146,380,136,050,963,946,065,367,025,
646,038,448,574,956,865,542,167,697,852,166,396,128,394,616,498,540,604,159,
934,911,497,728,054,021,236,602,448,784,270,067,434,962,603,310,061,355,236,
089,074,479,431,303,098,922,727,372,183,962,627,031,556,655,025,826,013,353,
527,006,054,158,969,984,403,103,904,144,970,495,249,376,224,720,992,288,289,
775,859,615,701,211,597,649,259,241,051,940,822,942,088,731,734,965,347,224,
548,938,338,005,826,839,026,286,867,152,241,538,413,159,673,061,219,323,275,
652,501,160,157,604,854,704,864,608,988,805,462,577,866,469,702,485,020,350,
423,455,833,106,522,214,603,153,857,771,244,909,373,157,513,070,376,694,943,
679,738,300,756,884,716,696,743,906,583,690,466,027,824,226,543,407,935,139,
574,466,584,209,076,010,015,817,950,607,701,956,996,366,580,836,192,802,134,
435,579,155,188,533,807,413,840,690,030,305,747,308,217,802,085,780,135,845,
385,271,337,836,618,227,339,159,463,947,530,510,302,138,870,388,698,171,797,
706,449,761,089,241,515,066,222,952,974,376,835,153,285,048,031,908,565,427,
791,109,494,837,356,741,418,756,122,683,368,699,501,891,493,541,217,336,115,
841,358,392,663,756,038,657,277,233,919,602,031,506,062,795,508,544,524,903,
255,684,853,751,923,645,847,587,177,271,380,665,268,698,713,013,605,861,205,
339,530,930,011,394,440,368,347,623,073,569,013,733,389,560,395,809,352,160,
004,253,201,941,705,972,308,609,830,135,672,478,044,300,872,745,488,808,034,
727,652,504,640,687,669,567,036,062,015,925,692,987,941,143,346,739,915,946,
236,521,350,414,384,847,621,455,845,858,736,168,672,579,563,487,621,200,397,
480,167,582,896,678,620,171,048,534,782,260,310,400,811,521,810,666,543,983,
198,530,186,453,106,248,051,434,522,897,224,802,880,001,210,905,803,496,455,
219,829,232,365,582,359,739,677,542,274,449,716,206,704,077,471,332,463,330,
145,151,466,847,122,639,147,982,692,971,061,862,724,874,912,123,851,843,092,
489,035,637,296,788,729,863,550,801,748,238,756,813,197,508,521,385,687,475,
408,202,465,102,279,234,296,491,805,803,149,988,233,346,978,050,634,299,475,
930,077,697,972,941,412,498,860,693,502,204,976,403,776,826,971,043,243,957,
282,490,703,697,226,090,226,506,236,050,554,887,468,539,983,049,692,660,471,
924,014,349,535,337,472,006,706,259,140,014,547,534,211,745,725,176,773,765,
270,884,513,957,065,264,953,966,192,947,201,275,049,316,259,103,868,761,166,
620,725,009,756,866,421,805,620,477,154,188,771,562,662,353,622,432,067,883,
873,639,274,794,868,265,817,719,188,199,473,220,802,928,669,100,472,240,471,
598,700,463,529,964,522,198,025,156,055,035,092,837,424,012,828,376,158,737,
280,949,114,001,597,359,294,995,079,356,444,850,710,860,549,861,678,638,710,
229,105,498,718,478,667,242,967,716,167,253,384,702,998,830,338,920,861,950,
383,675,870,220,352,712,807,793,800,408,891,616,562,156,779,507,175,411,274,
179,133,437,782,588,142,496,088,614,424,950,471,327,550,362,948,978,066,417,
717,090,488,338,248,100,041,447,623,501,742,917,263,787,838,120,105,867,078,
838,054,957,135,817,495,665,772,761,057,598,440,954,343,562,020,587,188,130,
790,944,649,467,821,681,294,547,581,377,494,251,850,503,013,136,732,612,060,
205,542,018,033,239,363,540,906,961,723,800,146,104,938,837,913,329,758,158,
574,072,706,054,689,237,389,230,896,846,051,737,372,323,238,861,319,086,049,
810,728,905,300,663,311,970,348,943,592,857,850,159,194,514,818,970,753,516,
440,152,029,748,787,736,401,523,842,332,330,944,747,176,860,127,494,750,630,
436,185,150,123,628,294,578,159,513,403,800,946,658,793,234,441,811,166,916,
171,254,402,088,414,064,493,350,798,019,550,666,656,296,804,294,939,383,197,
455,784,520,033,773,953,470,720,753,889,551,802,819,872,399,894,544,425,163,
932,356,081,110,694,395,814,492,169,728,347,412,425,900,413,460,876,843,613,
115,777,542,220,592,964,170,962,114,831,063,552,468,157,487,657,527,956,423,
710,813,047,639,767,751,602,704,235,733,955,160,444,030,894,595,303,322,080,
221,507,738,410,811,983,849,538,947,905,794,853,922,075,702,080,331,473,600,
025,170,173,009,380,669,924,620,109,347,413,310,504,079,563,453,734,802,961,
698,471,078,975,699,285,471,587,696,885,928,331,728,966,570,168,000,380,880,
223,209,017,096,678,045,263,358,437,554,661,376,590,363,780,650,029,639,854,
069,365,403,782,164,985,098,705,562,157,383,228,962,324,459,911,967,399,044,
437,875,799,555,493,353,114,685,006,815,318,274,650,209,991,199,776,644,541,
090,993,316,634,791,332,459,210,061,190,350,284,346,196,140,010,956,750,413,
258,990,916,696,801,569,135,453,309,700,460,281,814,875,871,685,973,796,159,
526,622,761,071,099,486,691,806,939,640,155,429,420,981,427,209,474,819,046,
982,824,188,022,355,888,873,290,436,490,894,225,180,987,598,105,408,275,867,
065,214,009,779,022,166,564,537,583,968,256,012,509,755,396,097,685,753,281,
891,746,314,453,426,058,227,045,219,964,016,162,706,299,967,978,289,303,424,
317,155,260,548,457,141,139,448,197,137,955,314,057,667,276,283,941,220,595,
913,859,909,368,985,676,439,963,886,787,886,860,307,986,570,406,356,857,280,
147,784,943,836,188,049,426,502,072,238,596,044,336,138,024,796,109,579,955,
021,777,915,926,476,949,238,209,184,281,075,639,616,871,019,938,043,314,027,
652,393,472,644,868,649,765,237,618,573,870,342,288,255,528,139,831,807,591,
754,998,039,035,533,793,933,410,010,473,250,469,052,015,746,533,503,804,820,
877,439,166,127,836,369,953,256,320,471,287,886,991,661,999,578,532,655,272,
510,570,068,744,178,099,707,158,263,534,074,227,588,737,504,877,492,992,468,
973,356,914,832,546,601,290,670,881,617,281,772,248,633,762,375,183,491,064,
352,809,041,450,108,533,969,130,006,494,628,420,300,303,346,136,607,897,911,
348,591,138,192,821,789,327,141,218,250,002,395,386,399,363,647,559,426,155,
198,245,727,357,275,067,476,772,381,754,788,614,504,166,491,436,584,635,268,
499,731,672,962,779,048,891,224,304,352,281,030,030,027,094,205,655,838,910,
344,869,186,964,111,426,657,445,591,033,095,788,639,628,329,821,516,253,567,
959,903,883,394,301,017,862,678,454,222,501,081,846,879,038,076,449,989,114,
479,549,066,669,095,104,775,513,613,087,518,688,361,401,084,574,855,363,995,
923,188,454,849,908,825,743,677,664,244,852,595,749,140,950,197,362,470,798,
821,412,836,751,135,820,753,593,673,478,599,205,756,325,606,181,434,308,431,
666,756,322,171,966,946,371,218,781,454,897,171,662,420,413,043,320,841,874,
802,398,286,345,213,284,185,360,756,568,907,729,729,650,016,326,593,990,682,
603,072,013,813,933,803,230,649,646,144,316,666,903,831,658,259,563,408,830,
087,771,761,185,763,579,400,376,737,177,458,759,407,218,206,276,133,237,213,
464,636,311,283,512,353,588,374,706,597,989,869,864,764,731,655,488,378,401,
753,990,369,605,579,373,225,982,783,876,470,735,898,747,948,789,010,744,751,
372,594,170,038,195,410,625,132,028,471,393,896,508,022,064,897,541,505,156,
403,796,242,716,368,865,011,536,816,390,811,022,783,339,633,976,069,635,686,
378,840,582,955,833,500,613,625,720,307,715,092,309,070,281,557,954,753,910,
891,544,609,802,637,922,769,784,349,659,197,315,881,410,831,542,455,874,774,
596,022,756,440,644,314,398,426,837,541,743,582,386,569,833,026,157,548,402,
958,633,019,245,732,727,387,150,585,191,322,229,548,133,743,653,919,585,783,
449,894,693,555,745,864,471,176,425,807,977,800,970,598,897,448,433,522,504,
242,990,190,785,432,131,307,127,186,748,600,202,375,474,956,700,229,791,972,
313,364,594,590,007,367,212,894,462,989,336,544,821,297,469,372,432,286,961,
250,175,668,924,914,295,860,658,212,218,056,462,992,719,059,873,543,761,537,
158,400,394,528,912,517,897,360,945,823,107,138,573,925,388,136,560,801,527,
872,306,169,042,156,436,731,847,291,886,471,490,355,611,620,684,740,413,813,
940,240,923,849,129,595,833,859,352,728,828,289,397,929,505,680,705,408,516,
951,670,124,007,682,954,388,293,727,793,798,324,802,358,738,469,313,689,876,
265,952,963,373,479,549,151,146,622,375,934,257,546,316,324,502,020,620,390,
486,593,160,288,719,368,958,964,621,226,138,595,800,223,406,927,378,101,826,
732,674,910,600,101,697,311,641,924,106,886,268,546,339,320,414,681,061,920,
646,225,903,396,557,196,606,701,429,927,150,317,735,936,735,798,336,272,378,
915,308,576,571,323,844,725,307,807,834,094,295,771,434,208,765,645,134,436,
318,571,350,364,874,445,184,675,261,426,239,854,155,689,219,075,255,217,636,
256,407,350,144,469,077,031,378,820,456,098,524,114,508,173,854,128,630,285,
255,931,654,365,216,506,739,831,902,975,494,014,571,715,632,253,719,382,005,
476,057,768,540,339,408,713,074,187,824,367,155,223,574,813,967,412,008,755,
996,427,579,287,619,539,957,216,555,439,622,964,319,364,281,655,197,773,951,
322,040,407,771,814,763,163,499,656,516,808,261,795,957,040,678,582,723,196,
395,225,024,541,734,294,503,265,813,510,023,370,084,550,559,702,502,842,068,
708,046,893,846,851,125,862,810,675,614,909,099,948,402,437,783,607,658,603,
306,184,640,993,097,024,186,164,022,759,244,311,627,286,019,938,890,528,950,
910,456,707,026,048,783,051,197,672,385,934,460,723,000,859,348,209,410,861,
223,220,887,793,837,251,549,602,316,644,938,965,828,375,044,993,156,918,855,
968,442,125,684,169,570,529,732,800,108,247,001,214,663,955,474,876,405,012,
951,384,406,791,433,331,774,836,220,533,201,255,788,145,795,175,208,524,355,
353,643,276,551,288,049,172,255,882,861,823,576,664,891,092,486,978,689,967,
811,967,070,841,482,544,866,507,806,118,352,168,790,691,632,716,881,786,309,
382,273,932,802,001,769,612,205,885,906,776,443,227,893,570,844,774,579,505,
736,537,075,595,639,175,804,059,867,490,785,615,364,497,331,454,386,575,752,
830,890,171,456,272,126,954,562,184,040,903,126,270,270,930,797,885,289,191,
934,413,608,922,694,306,002,149,164,791,422,485,148,257,884,782,860,556,116,
919,039,384,279,970,008,960,605,995,589,705,597,277,696,672,746,587,071,354,
178,750,261,161,841,550,346,389,314,065,620,418,981,320,664,766,943,198,874,
170,037,941,077,228,152,216,880,479,386,484,689,963,516,798,144,052,601,011,
040,950,746,973,371,246,906,909,098,780,036,148,546,577,370,856,611,754,954,
975,014,790,700,713,379,457,176,842,072,861,313,920,174,213,479,600,297,338,
900,811,047,314,697,560,441,068,227,960,286,758,679,116,890,946,796,497,680,
137,759,535,664,869,047,088,334,398,587,232,025,425,337,439,900,211,679,041,
174,489,165,850,569,542,863,236,730,742,894,056,965,154,777,184,455,374,614,
346,448,886,994,506,418,666,751,169,866,445,952,391,885,117,486,494,533,427,
212,888,867,239,883,670,630,471,491,551,901,990,352,358,383,234,911,191,126,
303,324,511,206,663,196,492,838,651,386,790,376,700,627,780,971,969,697,405,
231,390,287,638,658,359,766,452,742,727,198,002,552,059,754,116,347,256,862,
213,056,617,187,842,110,373,209,613,548,765,018,730,846,534,618,919,197,734,
010,722,578,074,437,372,816,116,320,717,511,472,789,812,748,901,987,032,562,
908,853,812,785,470,081,753,360,635,453,451,862,372,199,038,541,873,421,053,
035,081,201,292,561,790,798,375,845,425,138,050,433,746,670,958,254,151,006,
529,375,530,845,978,779,341,748,090,478,028,216,767,758,594,694,909,900,868,
222,438,628,145,726,528,095,738,006,232,391,788,784,149,610,364,289,330,616,
770,543,945,620,901,253,866,379,932,855,494,719,511,548,793,758,419,635,283,
241,323,033,750,378,138,805,178,110,508,081,996,832,941,252,015,495,434,454,
279,543,975,369,150,210,267,983,159,194,391,467,197,902,120,476,520,806,805,
310,159,983,765,016,250,073,952,912,412,730,304,191,803,204,858,904,685,084,
067,206,965,055,335,103,510,409,264,097,216,466,475,468,294,334,233,802,251,
231,295,221,888,540,248,931,210,804,728,398,480,238,669,768,150,772,254,189,
807,258,230,963,032,266,894,806,339,687,021,740,227,991,569,819,789,844,844,
993,166,426,794,837,323,194,358,465,241,960,531,232,426,972,756,716,674,314,
896,796,309,956,304,053,009,718,397,633,481,341,775,120,699,352,256,960,240,
772,148,195,084,842,167,301,134,942,692,851,662,118,703,461,660,651,249,457,
503,896,409,011,540,585,600,990,930,187,619,481,027,372,977,907,109,996,679,
794,054,696,708,818,521,539,852,687,580,995,587,031,197,077,367,814,567,390,
184,360,691,214,675,641,371,629,402,637,528,646,882,834,349,112,019,490,622,
228,543,408,218,626,235,179,959,721,318,515,914,921,991,391,443,449,890,742,
107,728,863,403,324,689,777,799,671,571,375,378,695,297,795,377,934,612,739,
250,010,175,764,803,127,205,750,212,454,291,174,545,033,347,082,041,376,835,
468,860,183,141,202,751,221,045,657,665,593,100,528,477,894,015,559,630,059,
406,992,531,833,705,514,920,057,600,937,506,911,696,395,433,172,475,874,865,
734,742,236,709,045,633,261,450,468,849,765,594,963,056,154,447,554,287,336,
543,343,873,460,317,095,861,867,520,087,674,711,999,856,297,459,066,147,035,
872,032,124,027,460,794,766,653,804,890,003,273,773,324,875,363,124,886,972,
276,131,028,752,412,217,966,947,461,542,966,259,360,561,547,279,518,643,618,
097,651,352,287,684,281,760,613,463,964,014,254,953,017,325,617,210,619,517,
921,772,129,039,849,895,939,577,458,444,964,918,250,962,260,471,553,625,499,
446,907,270,550,102,851,357,861,537,435,572,742,511,549,716,867,516,788,666,
182,387,703,777,243,505,345,198,869,379,135,497,399,789,791,178,753,312,200,
502,749,073,460,178,296,008,551,423,589,957,907,930,539,594,526,341,718,639,
277,079,842,306,557,812,819,428,777,113,869,347,753,302,520,638,578,215,974,
971,890,423,987,015,427,762,812,737,117,195,190,736,540,122,696,158,766,296,
068,604,763,511,731,414,755,731,260,341,075,711,392,765,083,020,622,417,203,
186,723,339,804,893,726,017,774,544,834,344,719,147,612,920,586,889,366,586,
035,989,239,343,572,760,979,133,765,194,823,283,920,668,576,989,791,716,522,
009,575,936,549,252,778,617,578,294,902,274,768,849,504,896,763,166,636,061,
556,492,489,891,978,700,849,112,380,202,713,878,377,662,534,014,276,637,784,
017,335,936,809,780,623,931,047,468,747,732,370,843,995,335,126,043,482,030,
804,163,159,657,073,184,858,121,994,318,917,233,170,771,846,891,873,591,478,
351,210,111,129,242,302,023,050,916,791,639,826,669,581,321,671,080,142,409,
851,537,505,464,874,323,349,761,018,094,536,375,772,825,218,371,752,890,928,
463,685,016,798,955,732,874,640,450,881,732,028,892,431,195,942,322,233,211,
620,879,899,594,764,702,551,205,197,428,685,986,939,368,232,608,449,377,344,
390,137,889,897,943,484,878,787,727,339,549,214,003,144,061,368,401,111,658,
741,477,961,786,943,861,529,483,432,874,829,649,403,914,367,610,493,840,037,
820,210,669,260,563,471,604,337,708,406,657,957,206,000,950,940,294,507,534,
479,793,979,471,841,130,380,928,052,446,249,093,695,064,650,777,638,064,803,
159,303,036,008,550,976,505,297,607,195,660,410,193,042,881,214,221,809,222,
177,693,559,348,294,504,488,634,223,762,746,157,550,553,214,559,057,908,046,
396,692,907,818,749,333,793,195,817,284,969,351,670,747,985,337,738,521,803,
996,184,274,089,411,634,065,073,937,186,418,559,445,135,139,102,387,443,027,
357,747,470,798,393,984,236,551,080,202,674,269,139,171,320,403,612,461,734,
334,988,060,944,938,539,168,785,473,575,951,200,305,741,388,710,547,525,396,
050,373,170,474,893,778,445,462,701,095,366,800,534,552,299,827,029,888,824,
121,609,170,294,679,060,250,651,739,693,733,389,036,453,187,378,951,638,013,
327,001,688,739,925,050,953,597,064,147,551,162,859,584,840,095,522,976,884,
690,502,673,902,091,853,842,796,193,860,270,282,540,724,413,521,720,695,453,
389,787,074,333,586,052,821,610,773,277,798,327,834,357,847,344,102,074,657,
103,726,800,796,912,616,287,240,690,513,953,227,506,609,934,559,257,318,586,
404,613,309,685,888,595,764,249,507,305,650,215,491,264,692,152,491,338,135,
772,434,852,651,965,092,788,674,629,030,570,105,147,119,950,040,522,305,795,
131,211,440,386,174,419,237,290,711,700,528,283,175,120,950,919,959,640,114,
683,122,005,104,295,042,812,818,755,257,141,602,900,964,978,117,796,671,750,
158,935,626,343,617,900,174,936,173,670,361,651,216,503,037,521,636,533,030,
380,446,418,003,470,977,827,207,151,181,989,684,812,389,505,971,937,217,375,
214,396,842,753,541,672,686,341,361,940,169,003,022,953,951,925,367,570,134,
616,709,456,790,895,595,118,107,935,706,064,375,463,140,191,699,989,632,788,
583,206,667,388,617,380,992,627,256,494,046,825,098,736,297,561,080,720,949,
036,125,858,961,985,791,394,252,801,164,842,310,866,326,914,835,212,155,943,
158,933,978,381,090,625,960,419,996,831,922,434,704,003,502,680,671,798,028,
297,568,434,486,518,892,932,069,107,187,954,670,214,430,635,998,523,919,587,
535,749,036,597,547,272,628,671,621,291,759,554,267,666,138,917,907,095,416,
664,636,043,616,107,394,624,404,711,723,452,987,191,752,906,213,211,860,284,
760,403,371,338,204,916,242,245,504,685,492,613,255,376,343,997,290,167,838,
699,358,053,501,822,640,401,181,172,969,397,937,163,823,653,109,153,127,225,
995,120,547,174,054,130,625,210,148,576,489,539,222,203,515,130,619,170,063,
611,082,173,294,068,678,330,691,050,298,975,124,280,028,342,562,626,134,318,
926,438,690,165,476,133,677,242,561,196,631,148,900,834,636,488,553,006,506,
714,118,255,600,382,174,841,175,738,156,096,916,115,389,281,659,676,501,011,
042,064,099,547,553,038,248,491,631,614,697,942,880,724,778,660,553,245,661,
360,291,214,808,631,393,111,259,256,283,145,399,200,702,832,071,612,978,233,
440,468,663,778,145,363,456,630,903,013,962,962,367,049,286,290,793,630,812,
018,019,390,781,128,739,330,930,942,127,263,292,503,801,452,766,507,489,368,
619,598,702,176,274,933,269,918,351,113,487,116,335,173,376,899,196,639,194,
324,920,619,231,653,008,974,465,810,516,716,484,101,559,646,321,241,533,676,
202,034,612,912,344,819,586,287,311,046,286,577,705,525,604,902,418,727,411,
880,595,488,569,353,640,399,535,389,423,187,339,163,954,910,173,686,031,789,
408,043,318,363,492,911,208,838,358,085,742,433,338,084,727,101,665,522,230,
586,221,366,827,406,773,094,143,657,739,523,671,229,869,324,001,844,723,263,
324,561,053,782,676,399,332,849,673,403,574,327,713,467,051,727,613,777,337,
210,927,212,321,630,533,190,483,243,371,175,751,295,775,929,398,434,311,714,
950,022,751,136,183,575,425,685,935,882,823,792,139,680,622,253,357,422,735,
040,986,156,436,309,842,122,231,288,501,236,200,072,385,564,794,935,170,081,
016,623,563,919,768,062,349,455,315,375,544,415,974,595,968,444,539,255,213,
453,749,594,820,600,992,799,128,361,166,917,977,207,512,325,638,561,465,137,
858,331,889,046,367,922,285,407,609,056,266,008,567,593,505,104,918,784,294,
518,105,067,471,073,654,146,771,849,728,723,040,598,361,063,744,968,488,453,
619,354,792,680,303,999,723,788,896,007,328,668,585,070,818,910,799,461,903,
852,233,415,792,926,889,414,444,178,217,307,679,110,375,668,658,528,858,328,
170,176,668,119,285,780,715,300,253,507,718,204,843,840,584,112,920,568,209,
764,966,988,850,978,065,483,097,248,852,686,044,744,868,390,702,807,347,519,
648,578,655,514,582,861,651,544,340,793,927,400,553,542,711,494,310,772,191,
090,085,673,337,360,452,111,393,285,122,196,897,907,873,884,578,546,014,659,
098,432,953,382,663,286,251,917,777,042,799,147,757,852,387,585,548,697,362,
795,487,440,579,455,410,843,517,074,413,211,966,770,802,140,976,938,836,556,
641,731,149,964,398,085,429,518,449,699,928,916,156,086,623,640,619,782,752,
790,114,977,415,291,109,778,489,538,683,487,856,632,537,220,342,584,317,638,
282,508,276,301,852,055,622,675,810,170,221,665,671,914,311,172,441,309,807,
230,990,333,244,272,511,896,404,927,742,881,511,094,917,697,577,223,265,373,
600,527,597,580,306,953,722,480,727,616,295,057,484,320,104,877,834,155,068,
648,220,217,161,068,697,231,508,014,592,428,260,498,832,892,260,152,461,170,
082,394,678,488,466,930,747,351,023,058,235,031,375,739,215,737,857,109,844,
117,468,587,763,746,502,951,334,485,947,133,506,112,262,764,600,118,004,280,
071,755,311,407,478,563,196,055,649,843,968,351,061,271,129,940,979,833,873,
231,488,931,334,073,811,648,698,635,664,688,611,673,788,460,953,910,179,919,
101,287,720,574,614,440,936,258,043,430,766,110,635,397,460,826,438,340,345,
739,794,391,963,751,928,170,342,313,518,316,582,024,985,803,253,966,665,770,
035,129,081,927,159,318,682,762,020,951,503,773,419,757,224,693,429,014,083,
994,183,664,258,800,032,414,694,692,851,629,373,770,002,499,876,570,514,273,
759,498,016,044,650,069,755,502,121,986,490,847,614,207,703,297,516,092,799,
843,316,648,321,806,971,069,022,028,688,691,368,983,437,815,524,893,946,085,
749,417,121,888,162,536,767,269,270,240,418,411,636,846,089,557,247,502,565,
302,579,435,474,565,704,582,296,367,314,727,549,799,647,918,227,923,910,568,
950,304,111,670,118,909,607,922,930,384,801,064,199,839,804,096,506,484,038,
342,478,871,293,406,292,213,106,592,880,189,067,295,170,975,411,030,402,879,
073,723,081,614,165,975,092,639,930,658,402,914,836,003,552,613,676,590,314,
969,034,401,590,280,370,043,117,650,233,667,814,137,567,340,114,984,743,416,
383,427,439,702,215,379,987,387,622,705,470,337,504,767,367,209,274,594,287,
107,430,083,643,802,513,239,653,291,461,358,537,882,311,351,613,606,012,045,
726,384,824,660,750,983,974,008,669,823,561,935,638,380,611,964,168,589,602,
804,449,142,767,957,516,084,728,256,467,674,926,615,993,489,600,284,810,776,
738,588,521,550,102,010,044,038,962,670,565,245,641,351,703,656,229,059,874,
844,827,626,407,416,140,890,233,398,716,168,429,254,577,109,829,197,157,519,
543,429,127,221,954,658,142,308,814,864,485,446,538,359,061,593,024,696,454,
269,213,961,793,152,290,931,122,098,982,273,689,575,670,267,373,655,946,641,
543,319,420,463,031,107,572,965,401,512,409,218,303,054,956,527,608,872,543,
778,460,684,449,896,220,274,398,726,886,108,897,911,626,111,938,328,727,404,
835,761,311,015,313,727,471,748,913,775,160,912,790,889,687,983,056,595,515,
319,806,652,386,594,062,956,837,210,947,062,065,849,255,661,160,406,706,287,
282,905,614,003,420,011,558,618,875,784,823,216,743,254,871,164,987,192,658,
129,061,447,083,658,282,347,060,608,566,773,210,146,193,063,565,364,304,168,
962,555,984,810,227,256,352,374,765,178,607,402,300,665,552,648,375,271,232,
442,853,076,604,687,068,296,381,474,791,001,296,551,896,670,560,237,161,551,
291,943,218,635,818,226,414,602,237,849,419,047,950,408,498,584,422,863,119,
274,921,524,721,380,345,488,137,463,428,214,822,599,689,153,033,502,162,835,
142,285,249,857,327,151,205,337,768,255,155,961,103,122,442,011,457,647,419,
557,015,666,715,273,499,546,642,192,904,806,334,966,298,055,574,491,372,677,
962,264,688,517,498,185,632,913,672,492,179,047,243,675,046,654,828,682,231,
851,437,941,157,485,118,137,374,047,636,407,550,997,687,227,396,320,401,263,
152,680,124,330,606,933,416,215,937,931,022,196,760,350,956,333,332,350,692,
679,249,070,760,177,054,292,730,405,834,333,293,069,442,054,237,718,696,254,
401,159,806,913,196,895,285,003,932,283,550,017,417,368,927,344,932,433,703,
109,457,405,587,555,726,040,535,816,739,412,510,606,306,132,985,135,006,866,
539,131,756,431,912,180,532,432,368,744,462,926,208,758,866,754,191,628,466,
623,281,975,473,949,084,177,500,776,993,841,542,501,192,940,696,711,168,607,
078,336,376,853,820,339,177,038,731,077,404,568,004,576,977,138,216,896,460,
578,060,415,590,527,585,339,827,363,643,091,038,569,987,106,159,489,374,379,
677,784,987,184,267,949,402,953,273,712,842,365,811,149,124,164,491,802,794,
555,444,338,337,505,654,523,740,015,738,717,891,113,078,262,283,710,579,019,
071,939,221,668,632,150,929,802,190,337,803,556,454,057,230,521,600,926,448,
806,575,032,591,967,225,731,816,363,550,270,557,422,482,565,626,780,315,382,
133,106,431,443,442,950,547,116,670,070,673,608,675,764,531,811,982,328,531,
638,182,322,919,471,246,749,890,328,404,207,604,052,665,959,385,391,302,587,
783,051,419,383,237,684,791,625,212,486,555,822,757,186,598,811,419,007,547,
248,405,899,899,671,101,138,172,743,121,330,763,262,669,996,832,225,804,792,
094,031,038,447,642,479,665,152,300,251,203,336,040,282,334,413,011,578,513,
816,729,806,041,380,591,571,825,727,484,489,945,730,887,687,861,094,254,237,
663,381,092,811,320,145,067,224,311,087,839,162,886,967,176,158,771,659,913,
225,670,265,429,765,780,806,654,649,749,417,643,574,522,330,691,564,275,695,
147,276,216,704,283,096,755,669,164,745,767,529,577,754,186,050,187,904,705,
902,263,944,438,609,233,475,901,373,975,925,914,721,247,310,764,803,372,969,
350,552,406,136,669,695,932,458,206,613,465,090,372,746,508,550,410,947,859,
721,349,059,246,857,572,618,087,017,214,735,959,179,252,651,808,429,117,798,
992,530,719,435,703,588,994,298,617,855,066,851,894,307,245,008,617,387,475,
314,200,718,034,315,950,708,197,923,541,439,900,341,184,228,569,668,502,706,
920,605,967,145,294,699,313,254,886,161,718,396,698,071,699,532,662,845,622,
929,312,808,862,641,342,989,782,541,816,907,727,723,189,978,329,491,366,656,
442,688,726,934,079,059,354,363,182,789,735,118,938,320,768,501,915,770,025,
993,909,011,326,839,825,554,412,618,375,776,642,553,273,302,559,692,488,325,
932,291,260,247,395,647,150,490,326,692,226,790,568,420,392,286,475,450,573,
684,838,486,308,055,788,427,453,030,788,418,237,135,158,109,974,397,844,581,
509,829,179,985,761,515,879,491,642,422,271,211,181,411,524,707,208,593,561,
431,341,622,277,524,077,953,184,791,598,385,848,062,051,803,203,588,255,888,
887,773,381,113,528,254,421,755,119,353,938,888,228,106,314,260,531,410,411,
306,702,813,293,168,892,332,871,996,766,950,038,317,888,887,897,757,727,610,
542,232,931,937,293,913,059,789,414,125,113,923,919,610,764,903,637,869,761,
961,809,832,179,221,558,878,052,598,892,294,240,222,715,114,844,441,203,452,
974,567,274,879,839,821,294,634,478,764,942,599,146,742,914,368,734,809,099,
515,407,142,897,686,671,327,152,426,600,013,375,280,551,998,327,184,479,017,
144,092,887,810,317,502,312,222,680,561,493,961,118,129,519,663,968,717,610,
350,499,996,549,871,295,331,473,821,789,281,983,632,485,783,499,036,434,828,
100,565,468,613,006,793,465,014,354,950,415,036,044,077,040,497,313,956,746,
654,123,140,123,958,948,770,185,598,108,450,266,554,235,558,380,867,129,903,
056,031,687,134,321,649,724,431,030,749,663,037,997,333,788,161,804,555,867,
255,360,895,759,506,251,680,740,923,553,705,667,160,124,710,253,360,607,146,
582,902,463,247,000,613,459,325,984,558,408,426,948,117,340,604,989,391,914,
511,360,098,215,355,224,129,061,291,284,078,090,385,540,951,187,906,361,944,
502,865,259,079,425,485,543,664,227,907,303,588,409,090,878,632,077,654,723,
362,455,947,293,825,948,928,400,012,457,555,290,525,164,933,988,704,597,437,
252,419,003,522,960,489,934,473,918,808,679,095,174,733,718,664,361,591,645,
888,340,258,876,560,804,461,163,384,273,994,015,185,282,638,823,554,336,948,
885,131,752,128,532,961,170,309,807,060,297,887,654,619,942,378,960,956,479,
403,377,455,832,109,884,527,739,435,829,124,424,316,655,818,889,756,899,023,
632,887,430,599,052,993,230,728,358,729,978,381,057,373,957,829,660,493,587,
793,220,367,689,234,198,487,238,417,216,722,150,130,861,466,798,439,914,259,
462,026,563,995,315,283,915,801,746,485,709,168,975,875,581,453,553,661,323,
905,137,360,981,117,406,055,263,097,523,574,503,618,132,249,879,340,523,669,
743,585,074,339,214,996,321,754,366,652,590,526,748,412,382,604,431,220,164,
182,208,928,425,475,875,837,201,340,571,808,449,524,480,425,033,663,138,029,
188,021,677,102,177,716,636,794,296,983,862,962,079,358,107,814,408,141,356,
313,691,598,360,336,444,352,298,887,370,762,154,733,691,441,771,211,644,223,
525,505,424,337,311,164,941,285,365,815,538,796,617,055,855,938,446,931,340,
204,141,649,812,951,729,847,869,926,867,777,953,325,504,811,637,530,983,766,
877,673,203,252,927,771,957,767,595,653,719,343,453,908,376,015,282,926,335,
351,803,593,877,781,816,888,396,617,972,307,401,722,647,058,501,698,846,818,
127,588,934,077,284,672,205,082,565,434,476,877,997,151,128,764,651,827,229,
486,569,092,316,753,803,479,169,626,540,658,194,123,043,740,335,246,094,056,
947,707,305,984,241,661,993,427,767,679,916,035,314,843,533,718,379,176,950,
337,844,736,925,913,047,813,883,899,311,972,623,284,701,538,505,854,362,531,
802,389,757,454,174,565,685,057,260,863,584,589,780,620,898,052,241,339,472,
838,199,513,819,111,742,822,806,920,807,456,624,223,931,637,753,989,399,329,
294,619,727,346,620,036,312,506,366,780,445,687,218,923,107,622,764,255,390,
570,579,242,029,254,465,453,766,842,345,026,876,399,365,637,229,913,147,566,
292,608,377,493,391,670,707,786,400,106,739,282,336,774,863,887,931,130,656,
323,209,189,390,504,538,406,230,241,636,551,573,324,089,345,799,174,819,708,
784,357,628,217,724,075,967,248,422,046,421,048,840,613,232,952,287,061,667,
743,921,244,146,630,052,411,075,009,997,799,359,165,231,765,157,299,316,618,
916,086,096,092,047,330,902,611,051,409,070,295,959,876,344,912,809,813,847,
138,071,503,129,677,288,960,732,800,603,945,127,689,667,845,734,343,716,680,
229,064,716,737,106,490,315,555,713,249,770,158,636,227,318,816,485,865,862,
803,366,275,391,750,859,492,072,553,648,924,380,099,711,370,423,874,624,234,
633,433,427,717,563,616,645,661,988,371,245,747,862,626,030,623,555,272,176,
857,393,033,144,274,588,710,101,460,332,138,264,060,376,186,664,260,477,761,
388,635,660,370,372,164,276,185,105,306,324,200,435,304,202,406,943,972,419,
766,818,732,189,586,752,605,215,582,812,123,045,704,978,026,751,804,541,342,
084,474,971,380,688,255,329,054,312,526,801,689,864,020,593,888,895,325,105,
105,021,849,688,067,892,849,148,324,333,806,267,427,476,053,139,901,203,290,
588,897,265,939,387,646,542,659,440,185,490,471,267,622,103,848,541,614,141,
290,491,509,405,967,826,277,864,502,701,086,123,015,335,028,448,172,465,705,
253,268,279,408,143,269,559,053,491,835,133,077,573,128,336,642,101,460,007,
262,536,385,681,337,717,877,782,135,161,733,193,025,586,452,565,801,958,203,
024,763,766,670,161,777,380,882,007,247,041,840,890,771,670,996,044,246,000,
513,618,638,152,681,313,580,380,942,594,831,781,929,035,149,114,965,563,145,
905,376,736,938,690,516,453,815,201,194,298,366,416,863,120,005,554,521,729,
393,350,739,743,899,393,593,155,160,052,217,257,563,008,981,719,514,170,641,
647,825,760,203,854,819,971,291,772,575,973,698,789,123,110,236,196,312,332,
248,777,469,112,520,679,417,080,846,239,717,806,287,156,585,283,866,109,888,
620,576,645,108,857,806,371,898,977,791,201,397,977,717,807,043,936,236,823,
665,195,658,200,578,561,978,218,998,133,125,397,812,651,266,371,317,737,543,
035,755,257,622,155,020,929,158,951,694,250,173,364,569,969,152,568,776,289,
619,758,683,454,691,480,375,899,305,314,493,786,651,218,095,339,356,784,822,
759,057,965,660,944,083,430,400,372,222,807,483,073,503,671,383,186,532,665,
908,961,326,964,115,360,155,444,913,467,985,603,055,736,860,316,051,721,770,
680,176,466,156,857,763,579,251,373,063,707,884,521,332,438,756,266,944,358,
889,882,039,645,999,649,127,973,577,398,457,151,848,137,922,600,535,601,410,
804,448,115,854,304,721,897,470,694,644,707,566,217,888,264,508,818,077,172,
071,937,552,457,952,117,320,656,117,509,322,508,059,212,770,068,180,657,259,
547,489,123,212,343,817,466,925,188,079,431,684,869,737,239,661,407,226,368,
968,060,178,547,347,220,006,680,432,353,961,049,368,531,173,384,209,077,910,
622,452,162,818,611,613,887,129,159,364,065,436,380,418,376,418,861,897,960,
652,406,756,042,273,548,844,035,093,340,877,772,488,158,485,386,198,388,169,
385,674,919,014,650,770,619,087,787,461,821,943,214,825,733,711,533,685,215,
663,294,546,882,474,086,840,914,870,209,714,166,301,683,539,840,870,471,611,
665,769,252,116,658,816,534,226,031,726,554,064,958,851,359,279,865,297,437,
741,717,786,231,556,434,435,170,309,947,982,954,882,788,589,355,180,404,311,
616,215,511,362,690,106,086,133,305,326,679,956,032,559,772,695,638,699,237,
603,748,483,483,876,488,072,275,121,426,029,015,259,734,726,512,067,138,070,
158,466,548,028,585,292,613,081,772,238,149,551,189,625,102,270,423,795,142,
423,013,439,381,938,490,376,356,437,207,516,762,545,460,768,591,055,138,716,
215,344,862,860,190,257,076,428,855,617,467,035,013,923,700,149,666,132,476,
309,475,169,975,274,450,234,983,168,961,550,620,566,469,920,700,347,370,550,
077,174,673,575,731,579,583,430,198,294,588,380,381,363,606,995,947,985,986,
236,551,858,739,314,298,897,494,159,790,879,772,965,951,726,252,883,031,411,
951,566,842,193,413,062,105,640,165,387,272,186,920,448,552,154,761,786,059,
592,696,658,083,895,171,483,281,758,058,103,419,585,638,855,912,153,574,567,
881,834,890,521,533,516,953,153,224,437,073,920,046,875,793,027,927,401,125,
992,426,777,197,957,041,327,305,586,941,995,843,956,373,251,317,353,791,558,
903,545,522,906,977,074,838,202,626,777,215,135,082,030,427,731,293,737,244,
830,764,735,699,845,698,997,774,705,357,287,706,158,199,491,666,390,691,812,
542,742,509,351,252,305,941,929,477,506,854,023,263,130,062,012,936,367,672,
432,121,034,605,958,286,531,898,148,715,085,788,007,102,376,976,177,462,291,
374,107,204,640,652,319,734,381,279,813,430,031,942,723,178,100,749,808,314,
083,184,399,214,862,505,996,218,586,087,241,668,051,240,978,096,865,314,818,
078,392,240,534,735,788,585,983,752,838,473,378,606,738,882,058,938,057,690,
548,142,929,359,031,291,220,367,764,759,638,126,177,953,788,632,575,397,986,
503,539,805,409,988,228,118,109,889,253,944,800,640,036,163,771,818,840,847,
465,794,983,112,479,280,242,741,083,796,870,442,197,667,922,860,998,779,116,
700,646,462,167,916,313,072,016,932,050,753,097,695,418,227,578,628,738,939,
143,416,499,260,178,405,864,732,226,618,241,319,224,720,671,373,303,791,995,
468,295,022,958,413,474,441,437,812,029,471,131,793,291,467,150,397,560,901,
019,407,721,143,774,408,914,471,241,717,660,609,684,909,312,355,842,807,464,
109,218,204,092,544,634,089,378,239,653,623,418,656,496,989,197,954,022,789,
808,433,016,114,611,067,321,856,183,063,330,552,931,708,775,765,389,912,948,
896,110,983,674,688,014,047,206,729,515,256,933,124,474,516,870,023,581,398,
337,831,661,930,603,187,362,842,438,099,735,850,765,520,500,413,482,748,229,
483,606,100,092,563,470,601,804,512,124,767,586,557,848,124,423,329,936,252,
639,048,395,966,899,308,942,593,286,988,465,325,838,852,756,117,700,788,118,
373,767,095,708,862,662,994,534,458,493,395,030,007,020,366,727,043,636,862,
834,321,599,727,657,829,218,332,137,858,614,790,398,123,816,424,861,946,640,
434,261,204,886,593,010,575,708,946,220,488,236,397,510,544,653,391,321,436,
518,493,116,055,927,898,714,823,761,488,496,461,702,634,916,973,435,444,029,
954,626,548,115,480,942,587,406,875,607,955,081,444,451,090,793,771,640,309,
605,700,045,471,532,256,448,515,999,147,160,227,009,429,244,104,601,670,543,
545,212,290,570,255,669,406,724,527,901,918,502,169,852,051,831,064,042,956,
213,602,719,702,967,915,844,856,364,072,517,646,206,679,313,007,427,620,395,
986,238,874,410,645,170,539,871,732,665,279,804,914,182,078,039,779,066,802,
442,772,982,507,012,897,135,026,460,450,338,066,590,599,329,709,021,916,995,
881,299,091,413,844,176,355,009,858,361,304,628,494,657,194,944,668,976,953,
000,058,779,071,133,560,629,853,700,029,181,119,132,243,729,004,872,129,420,
457,140,894,054,733,140,328,343,333,930,441,603,413,562,117,749,288,407,501,
343,237,205,721,776,956,670,158,653,771,264,205,897,395,486,063,205,804,748,
154,518,036,293,023,585,916,456,951,159,951,813,722,383,179,399,726,220,190,
270,912,014,437,012,248,928,928,770,094,313,985,015,960,546,803,844,447,076,
167,909,004,528,023,843,395,813,168,149,764,632,664,554,846,770,719,982,439,
963,125,910,229,487,163,329,431,391,661,262,465,729,097,282,042,643,976,895,
710,292,795,536,897,560,236,310,101,398,232,048,767,297,281,460,540,715,588,
416,367,179,566,443,421,396,491,169,717,833,791,826,141,153,374,358,262,112,
988,728,015,508,188,026,537,344,425,555,711,170,610,143,281,822,928,249,312,
144,380,878,331,847,172,852,966,879,924,169,013,776,938,364,395,184,662,278,
771,534,720,905,338,965,509,070,292,376,123,442,146,343,315,654,073,267,897,
484,344,341,641,814,954,185,648,732,672,351,165,372,737,258,321,666,828,162,
860,640,750,825,931,848,766,211,408,524,149,883,594,930,263,693,155,891,908,
682,938,111,514,354,772,737,875,740,024,114,714,009,452,704,775,010,901,226,
535,834,499,788,194,031,893,879,353,327,605,790,473,996,406,398,389,422,295,
872,783,991,366,027,749,016,995,754,356,143,572,899,375,952,104,762,692,889,
668,584,641,538,077,259,342,531,729,483,003,721,453,280,666,734,303,085,020,
045,480,382,553,632,897,545,070,389,974,087,118,785,643,980,854,514,421,054,
806,568,555,222,796,075,402,200,770,546,272,256,632,631,781,681,562,107,403,
174,694,467,035,888,359,686,406,860,202,742,264,006,472,999,163,996,946,340,
175,205,227,094,574,625,724,506,067,025,071,691,891,670,291,074,431,975,896,
042,923,097,112,527,261,740,040,022,838,705,909,106,296,225,724,483,293,670,
569,037,249,933,182,495,111,367,021,553,294,918,625,145,481,138,284,249,170,
069,273,853,225,036,014,047,049,815,949,482,545,262,381,867,349,750,104,586,
492,671,646,254,534,421,220,117,315,095,957,989,858,393,592,191,739,692,890,
210,068,732,673,239,810,010,241,640,969,816,957,921,767,312,380,553,287,605,
986,828,785,857,836,785,171,800,901,440,135,346,682,736,527,595,426,516,860,
005,290,618,365,027,348,058,094,218,317,252,626,511,295,049,635,374,612,848,
281,638,126,943,294,629,664,506,402,780,145,766,123,343,370,260,180,166,397,
137,672,681,786,330,160,102,122,598,866,330,347,791,155,699,306,016,577,261,
117,668,140,198,768,980,565,579,047,053,425,945,441,600,555,519,963,281,291,
494,665,070,078,404,061,109,490,359,871,315,817,309,151,958,867,278,168,958,
169,798,259,928,917,470,906,066,528,581,848,388,926,458,588,943,697,084,599,
322,408,291,301,136,899,860,906,287,207,074,167,537,494,599,005,498,676,782,
128,015,202,117,841,263,648,474,730,367,227,901,570,228,947,809,950,280,638,
633,595,665,207,571,188,881,253,977,761,637,627,226,851,494,464,915,817,037,
481,387,742,374,953,699,616,012,661,162,442,896,673,230,746,426,669,095,947,
781,817,800,316,390,285,076,686,671,744,302,853,827,949,543,976,859,240,956,
350,933,503,718,578,231,288,138,199,386,687,797,615,186,204,832,718,922,760,
011,300,742,573,406,700,336,073,612,713,661,384,079,835,292,649,428,182,474,
396,685,219,798,917,091,971,886,775,449,164,194,616,901,075,886,243,375,227,
900,592,133,745,609,666,597,621,516,994,507,446,988,457,748,373,694,529,327,
207,755,945,466,861,874,637,802,928,646,554,771,860,067,504,047,323,290,224,
103,471,973,140,919,963,529,982,473,842,768,928,310,870,314,649,686,262,740,
629,143,707,706,277,253,731,239,420,468,447,584,901,335,072,119,164,479,329,
453,336,351,657,421,944,483,045,835,902,001,557,250,395,066,001,482,437,119,
693,168,414,785,035,084,003,733,583,223,792,524,958,343,931,574,282,507,879,
893,542,912,762,770,034,146,665,459,219,305,365,845,170,109,362,613,627,289,
007,570,622,356,671,087,495,284,093,922,239,184,535,268,305,184,138,268,214,
726,400,243,731,012,380,230,414,464,901,871,050,841,119,349,776,777,491,258,
090,822,468,121,351,661,827,740,275,029,881,675,070,051,946,578,795,716,060,
344,937,002,690,491,787,710,178,953,860,880,469,604,606,887,870,766,839,801,
363,263,878,593,794,798,088,310,765,686,185,708,408,238,563,729,090,654,421,
938,500,472,896,443,075,214,282,962,912,206,344,391,266,738,319,692,475,853,
203,414,289,143,486,394,986,338,664,362,942,778,595,648,579,073,453,143,803,
971,269,148,193,984,782,366,307,989,879,923,993,597,885,478,135,213,770,654,
066,440,180,338,203,691,336,661,130,238,202,795,033,740,947,047,410,815,998,
865,458,237,619,550,037,793,697,854,662,261,099,122,890,171,843,375,891,660,
376,831,986,708,228,082,082,011,201,194,811,328,419,013,149,668,514,562,196,
270,078,643,522,803,247,534,598,509,653,126,088,784,797,412,897,979,812,439,
351,767,287,655,743,530,393,157,654,450,673,242,019,167,986,471,410,103,740,
998,659,532,079,800,737,582,659,503,370,252,881,048,272,474,533,792,258,991,
154,049,362,414,383,721,654,210,093,786,302,916,828,176,580,547,145,447,357,
294,924,575,402,542,387,703,575,233,269,365,495,691,019,139,373,393,985,268,
547,366,657,723,606,752,885,943,765,332,165,197,971,633,941,512,020,570,743,
106,378,152,765,207,302,886,112,110,535,473,160,980,781,244,685,445,521,062,
422,140,069,260,817,554,043,951,040,426,968,152,698,551,072,184,806,293,067,
457,245,975,281,055,963,911,079,247,333,367,047,414,975,603,361,609,750,512,
426,824,807,511,762,361,495,215,491,478,876,350,367,846,697,000,696,907,409,
969,419,975,470,657,085,677,933,503,294,283,836,614,253,924,120,628,998,803,
321,195,152,841,027,283,074,233,860,609,409,879,481,731,295,700,984,760,362,
191,444,499,611,069,967,808,493,285,786,643,722,051,890,586,875,468,197,187,
776,485,448,026,557,380,972,002,692,626,900,937,253,963,162,040,316,855,758,
420,841,580,151,697,271,591,079,203,856,657,675,202,885,415,655,177,419,944,
417,943,088,104,583,735,487,513,939,639,136,651,007,313,737,277,815,464,715,
415,762,224,232,880,377,990,430,503,919,154,953,227,382,287,064,654,702,257,
462,732,693,713,328,501,819,296,287,290,958,571,674,336,365,258,129,703,523,
718,660,601,510,381,245,427,530,666,607,564,534,075,746,748,321,193,455,358,
701,300,915,267,140,786,961,342,096,023,806,842,042,215,433,636,341,530,818,
459,419,466,822,960,019,850,397,426,713,328,367,500,603,673,273,199,485,942,
006,500,758,327,290,299,745,154,753,959,189,918,595,561,821,456,760,414,585,
736,899,890,790,005,978,623,874,527,415,022,471,972,071,242,158,161,437,466,
691,024,416,865,846,943,949,217,862,331,531,647,645,755,471,289,888,159,122,
469,524,373,897,002,771,174,756,213,144,775,715,945,945,010,900,615,012,046,
225,961,226,040,075,783,560,521,988,011,539,096,518,746,938,053,259,042,440,
021,825,855,905,823,476,573,618,384,285,443,721,871,422,027,906,214,792,544,
313,820,536,357,623,596,883,549,105,280,803,078,223,301,478,541,279,146,461,
635,784,947,330,740,556,842,888,675,221,168,627,362,860,242,341,725,944,315,
071,833,515,473,828,870,886,568,046,138,581,657,573,457,650,071,261,985,090,
438,459,695,994,056,894,359,757,014,156,187,223,172,565,761,773,580,179,540,
011,464,084,498,939,583,191,398,439,349,525,399,382,048,787,580,377,061,137,
958,620,192,809,460,368,686,941,800,434,169,968,327,764,210,564,644,069,435,
737,121,650,065,565,031,091,732,250,410,281,480,842,985,073,912,519,166,509,
072,213,669,589,087,184,757,029,067,976,595,005,298,444,087,390,388,352,125,
673,836,444,143,377,195,045,714,821,470,845,731,746,519,266,759,067,208,469,
381,648,488,991,088,774,277,311,052,003,774,296,961,515,274,886,602,104,446,
370,794,614,596,735,227,162,315,813,132,247,899,275,451,851,154,422,331,230,
164,007,620,522,905,827,097,142,758,479,320,366,650,694,644,162,763,322,731,
224,060,063,700,813,816,345,978,030,984,873,600,165,302,029,149,704,786,676,
559,614,504,297,837,211,231,668,794,666,734,830,214,288,469,483,910,985,023,
082,332,653,753,482,313,011,188,333,753,842,272,028,899,976,861,185,575,381,
862,212,967,672,449,193,382,738,399,251,737,835,109,579,291,480,952,850,448,
355,917,522,452,738,580,613,430,662,668,348,433,797,568,593,337,948,119,967,
336,664,928,817,077,537,283,808,922,339,953,938,000,073,655,015,178,814,268,
950,849,007,961,725,160,500,915,494,471,092,006,781,372,430,165,007,540,583,
587,517,763,425,860,887,766,814,493,301,193,307,077,993,808,852,070,478,174,
458,482,632,767,335,101,251,772,387,661,726,281,764,303,975,585,114,155,294,
832,591,193,717,790,845,206,200,849,079,781,870,004,513,132,619,351,950,001,
932,511,400,370,081,360,924,611,485,264,427,753,712,745,917,309,184,203,922,
961,285,153,155,957,086,551,449,788,755,718,425,160,716,890,241,588,640,625,
417,917,593,242,914,792,060,976,514,907,645,665,031,948,941,626,637,971,528,
312,876,957,319,389,783,315,729,750,621,097,686,271,069,574,159,816,827,421,
540,479,552,224,826,205,727,997,788,740,181,392,988,263,886,939,461,160,658,
648,575,016,865,694,261,720,978,599,520,225,047,119,524,884,454,253,110,680,
557,986,593,987,598,339,885,068,501,591,336,570,468,558,417,650,432,990,935,
165,716,042,150,529,111,156,694,471,930,982,547,638,899,530,399,514,999,891,
867,765,480,114,246,993,486,751,117,284,526,785,306,800,615,787,319,949,591,
071,120,764,481,694,021,969,690,108,164,169,069,697,875,842,933,607,953,333,
565,113,245,569,003,308,787,908,711,706,998,169,743,153,272,327,836,873,573,
691,028,721,871,407,149,743,242,056,517,912,781,900,595,262,318,719,401,426,
978,612,290,052,020,844,303,816,250,346,030,956,126,766,278,424,161,314,640,
407,590,387,790,151,552,992,543,335,798,408,276,294,620,913,947,550,836,661,
516,731,261,957,965,514,121,305,038,890,267,139,681,516,429,041,726,794,594,
337,464,090,046,010,488,779,032,382,538,369,156,265,897,203,435,001,362,061,
702,331,021,453,922,389,601,927,387,341,202,006,766,051,736,100,549,229,746,
161,411,093,020,603,927,016,394,111,522,127,164,205,924,158,432,007,844,970,
835,377,757,571,338,309,396,587,505,063,480,386,632,008,638,458,489,742,625,
646,661,920,576,672,977,155,422,706,963,827,155,057,122,980,382,617,000,114,
656,476,787,017,360,412,586,565,250,579,416,775,692,155,606,162,147,476,646,
296,335,054,154,461,312,836,968,132,194,771,954,225,391,445,652,281,425,906,
766,791,004,740,905,640,903,038,116,864,789,614,413,537,221,815,131,119,506,
649,540,269,212,198,759,822,052,307,889,216,864,465,791,405,473,054,327,521,
312,130,916,831,050,926,386,559,130,321,459,167,155,828,373,250,781,923,819,
138,202,148,210,670,004,857,325,393,613,341,959,402,516,178,447,675,688,787,
218,568,263,517,293,699,842,371,690,410,452,279,101,441,122,224,595,532,426,
704,301,048,439,014,811,433,104,868,920,201,781,580,837,155,387,932,203,442,
009,524,918,961,082,637,961,481,435,586,296,722,935,331,101,975,831,926,005,
407,511,634,693,815,104,682,213,718,935,440,747,328,890,282,875,551,032,325,
365,139,926,145,684,238,889,718,361,346,173,452,476,871,750,786,975,562,041,
007,790,167,232,623,946,525,811,639,884,587,690,226,969,082,025,916,678,664,
602,383,449,212,498,239,613,778,261,578,199,751,119,425,575,202,534,614,473,
926,439,093,910,298,966,467,064,596,175,176,759,643,319,310,916,607,340,954,
889,118,678,671,502,623,424,541,084,417,650,237,698,298,784,263,960,636,717,
480,201,805,484,049,773,876,735,990,297,982,758,769,320,990,832,992,134,654,
097,288,650,488,939,348,609,041,653,273,533,441,312,804,907,960,820,614,639,
266,301,821,346,642,880,864,138,586,332,644,095,789,431,385,605,393,132,213,
317,518,753,382,865,024,208,197,359,222,657,599,855,650,218,166,545,275,485,
507,955,575,518,221,988,886,084,393,871,947,266,467,795,932,614,657,591,404,
025,474,526,386,313,632,115,148,313,084,110,878,674,563,952,919,923,929,614,
838,112,513,657,605,084,055,595,823,075,156,524,752,804,377,203,504,409,480,
398,874,283,288,166,071,886,533,383,365,403,449,114,949,902,778,749,888,044,
480,991,029,100,269,011,317,518,825,507,369,324,051,625,794,472,210,863,236,
967,082,295,100,770,323,978,887,130,710,463,781,982,109,853,837,438,866,846,
329,316,551,211,569,851,118,822,002,832,895,981,228,079,241,537,267,311,497,
933,196,634,063,524,880,182,957,105,759,819,345,612,360,850,986,800,062,715,
096,064,276,550,689,476,572,970,688,949,390,836,869,159,816,961,567,457,706,
181,327,759,902,184,294,770,908,900,101,873,621,193,919,567,715,124,944,762,
817,676,757,855,424,080,932,194,109,594,522,511,722,578,323,383,526,002,782,
704,051,499,552,441,651,986,011,498,988,201,603,519,316,292,766,604,913,181,
616,407,309,517,311,476,181,174,916,107,822,756,528,082,082,376,531,013,917,
421,653,830,668,720,221,828,452,716,706,579,594,367,362,907,766,942,143,070,
817,266,915,167,184,580,807,042,239,520,830,479,142,062,349,630,572,989,532,
205,008,099,455,433,393,180,402,337,164,439,393,207,313,067,902,118,175,734,
618,136,025,597,654,616,121,241,287,704,504,562,693,668,309,487,522,711,195,
411,430,430,185,436,597,804,401,403,973,666,627,561,032,167,742,846,923,574,
245,432,557,114,759,744,391,908,420,928,068,979,188,306,240,741,958,550,724,
518,609,128,096,258,260,619,245,419,277,030,275,679,022,294,258,984,501,915,
109,036,428,698,752,553,376,348,020,023,704,109,134,971,213,459,899,394,224,
712,841,215,057,739,767,005,758,593,834,559,717,904,955,471,238,475,582,833,
427,138,671,481,561,819,544,909,153,876,504,368,344,690,478,585,163,845,339,
671,167,607,488,983,101,834,100,743,941,593,908,192,497,638,597,443,933,855,
867,348,499,780,948,074,275,421,834,554,912,737,637,232,907,332,110,385,183,
708,779,316,110,876,403,846,563,833,460,944,089,061,159,660,800,819,190,141,
113,977,393,425,680,067,765,781,703,676,362,474,737,588,029,580,176,652,491,
564,171,662,495,343,148,990,708,722,473,259,239,799,511,701,233,733,601,198,
303,088,383,078,969,880,875,568,058,776,045,552,236,776,445,203,310,521,019,
717,698,760,015,256,328,954,397,477,149,323,649,986,602,153,614,203,596,092,
608,586,213,036,721,439,642,282,342,829,483,614,175,729,295,868,811,513,242,
627,568,053,941,734,543,213,224,845,638,883,724,436,476,512,599,332,916,943,
545,069,370,942,627,767,830,304,386,161,937,926,950,846,745,915,442,094,155,
968,890,330,298,695,081,207,003,741,944,907,677,393,378,852,613,866,096,841,
174,348,525,096,314,982,541,190,091,068,750,355,737,425,947,154,013,631,837,
709,116,760,993,206,330,676,302,906,837,824,452,093,863,304,788,466,682,831,
230,379,197,094,789,440,732,943,585,033,641,962,067,888,194,132,517,562,353,
607,900,757,981,155,776,203,472,959,845,546,664,270,613,214,315,237,935,567,
834,753,915,129,239,010,871,280,245,616,778,387,916,778,575,313,350,706,619,
431,665,460,493,797,249,173,492,500,207,690,253,682,922,266,056,642,634,031,
583,586,015,803,643,376,385,895,803,253,802,232,043,455,554,903,227,834,898,
972,375,645,368,338,614,897,383,168,678,585,589,141,793,122,058,361,785,712,
263,521,521,649,986,370,964,904,356,549,849,360,990,578,544,544,620,708,320,
595,669,723,278,095,211,115,689,100,995,072,149,865,906,397,736,986,001,945,
939,631,747,760,557,706,742,449,253,573,590,674,509,495,546,466,625,979,865,
477,551,941,158,581,900,059,671,136,965,274,165,097,145,912,494,164,067,302,
897,189,820,162,092,231,915,272,539,964,410,618,600,376,797,054,531,030,613,
854,375,158,344,143,349,315,260,206,892,130,038,563,752,938,627,409,460,730,
949,176,082,401,507,977,707,722,968,175,619,955,824,893,110,391,438,286,071,
376,126,722,263,176,933,347,988,464,451,846,112,056,745,012,835,950,870,464,
466,199,544,260,480,698,965,473,133,718,319,578,794,695,516,419,242,790,211,
941,261,314,468,158,378,771,849,653,508,594,455,266,599,960,794,188,237,625,
227,110,778,545,175,458,295,469,041,134,982,646,787,369,491,338,224,724,905,
374,040,686,158,894,860,163,064,933,119,411,260,615,230,636,321,547,998,963,
968,479,822,276,137,552,685,380,212,454,154,089,794,073,967,585,356,567,525,
084,873,470,769,181,127,319,361,525,300,405,194,316,564,873,342,888,434,902,
009,635,199,150,531,101,044,242,151,064,560,502,882,644,292,321,604,904,313,
354,465,950,324,515,123,867,800,733,864,241,442,784,248,034,614,147,510,161,
246,380,830,059,818,698,877,560,333,887,116,125,542,470,455,486,654,952,842,
705,800,906,107,260,296,616,669,190,418,337,063,239,874,332,228,793,555,470,
253,510,432,038,063,993,880,324,253,171,338,929,356,089,147,979,706,685,791,
299,068,390,234,387,805,853,772,279,226,089,515,313,384,245,089,021,294,519,
033,772,146,218,384,391,928,615,302,749,671,156,781,083,307,757,710,834,958,
490,170,229,667,999,301,395,363,137,689,845,214,925,946,421,708,303,090,147,
786,586,671,551,538,561,673,218,098,966,535,623,319,829,849,808,108,403,823,
119,055,136,008,361,545,920,784,114,942,347,145,180,187,187,958,871,813,155,
594,434,732,860,247,987,049,015,203,407,108,965,044,990,293,645,217,813,990,
741,039,956,158,450,596,008,389,687,010,731,952,152,420,288,325,224,385,292,
208,517,531,092,899,712,427,532,529,307,549,439,905,357,627,222,535,715,977,
823,178,237,604,617,855,700,291,636,556,050,853,834,696,034,075,855,338,825,
492,314,569,001,023,018,334,448,075,129,946,709,682,044,071,454,734,064,151,
881,679,243,692,296,493,618,211,451,246,545,947,742,051,517,625,870,794,391,
313,022,110,198,559,383,749,221,456,461,363,952,055,344,104,502,627,068,822,
907,010,196,624,115,520,798,104,274,798,969,456,706,865,771,065,515,444,481,
772,196,188,459,081,389,584,440,762,708,285,547,446,016,187,832,883,924,952,
475,661,159,488,298,862,010,688,638,857,090,271,163,019,419,028,552,193,251,
570,018,428,753,242,177,894,461,669,641,255,921,750,241,243,111,625,776,819,
309,901,842,952,331,189,415,631,964,002,632,635,598,218,474,216,426,827,825,
140,499,452,665,711,065,035,663,045,118,810,502,366,517,146,538,335,433,630,
550,573,113,531,189,144,308,187,966,651,925,534,819,644,505,013,976,476,624,
571,163,427,865,771,419,490,894,691,570,527,707,155,900,722,920,154,073,953,
311,105,558,484,920,960,892,461,210,893,080,183,021,477,761,899,762,850,803,
375,422,703,676,821,014,128,657,407,024,935,584,927,975,419,239,286,678,076,
304,002,797,589,756,421,009,248,225,696,519,578,286,568,281,627,598,160,484,
846,154,810,987,796,895,326,071,191,139,201,070,862,627,566,453,781,649,377,
878,976,074,985,566,913,368,543,995,019,967,643,463,839,300,867,322,057,872,
088,610,921,090,710,091,919,216,099,197,999,539,074,724,557,585,922,319,853,
707,287,022,342,306,052,145,338,099,490,441,207,249,886,720,334,879,124,150,
643,443,439,657,191,131,138,113,746,391,701,767,380,732,102,853,254,680,533,
921,012,241,131,071,176,992,635,022,810,265,344,153,369,983,494,355,712,517,
378,408,020,347,596,142,785,747,139,777,451,165,488,583,492,084,353,225,125,
081,205,868,232,440,004,398,081,291,106,561,916,055,666,975,183,087,715,419,
116,641,517,208,083,098,889,966,846,494,270,650,713,541,073,287,700,271,177,
781,874,566,312,685,068,099,033,694,687,099,363,571,675,361,372,145,199,687,
801,003,915,742,568,380,211,605,101,203,995,154,631,895,975,947,429,490,657,
769,540,051,971,231,152,400,538,618,470,580,007,530,236,672,993,596,075,218,
742,174,357,097,764,720,901,393,102,965,299,924,187,412,320,122,913,803,426,
525,040,912,408,828,364,480,202,332,652,422,342,422,819,055,746,713,972,989,
781,267,849,298,355,428,568,459,398,567,011,914,504,972,916,277,320,306,471,
332,929,147,965,237,445,083,613,020,555,966,830,258,104,442,698,202,164,477,
900,785,885,334,646,314,881,466,873,219,425,120,508,393,674,857,955,023,606,
493,044,771,472,301,408,614,745,405,023,227,365,754,361,390,787,916,217,392,
603,079,401,164,040,254,606,422,331,408,504,881,915,875,664,379,634,287,464,
009,653,234,068,576,908,471,559,978,510,086,953,557,252,826,373,636,374,497,
238,658,715,161,385,830,382,627,622,260,738,154,277,829,737,665,001,485,777,
481,390,099,184,609,066,306,108,217,251,106,977,118,191,161,569,881,326,715,
704,141,590,732,203,674,105,663,754,552,809,698,981,532,954,028,211,719,337,
060,334,582,091,188,124,154,878,261,709,416,858,105,533,675,076,189,664,016,
263,511,053,960,480,747,590,014,646,540,049,950,867,845,473,275,108,211,487,
908,473,065,729,451,224,889,957,207,290,064,984,249,329,837,027,340,711,779,
629,830,645,056,319,417,649,515,844,053,422,179,473,081,192,714,727,992,974,
967,529,945,906,304,087,870,408,693,672,242,200,059,697,555,894,535,012,418,
399,045,350,025,595,553,030,624,668,489,796,241,636,404,049,661,392,919,351,
465,581,746,541,576,206,742,085,115,847,439,707,966,034,437,487,120,351,843,
562,396,602,355,820,017,714,283,332,415,122,583,669,896,917,029,492,521,889,
532,617,914,908,753,958,971,435,028,539,752,232,851,087,658,388,586,685,396,
067,927,941,572,292,207,565,943,698,314,124,791,590,239,814,778,983,166,089,
986,889,905,315,468,665,134,495,408,668,425,445,411,945,597,542,310,140,623,
875,467,330,927,428,549,739,387,957,178,809,179,944,309,330,515,337,827,207,
643,052,899,362,079,906,605,803,257,104,764,652,061,329,682,032,466,741,071,
805,389,071,514,833,764,517,345,267,587,467,015,667,885,095,028,554,213,342,
683,687,917,761,314,465,817,637,997,289,191,639,706,092,337,295,401,526,177,
758,751,220,691,079,926,494,134,136,520,225,170,834,228,152,237,526,525,747,
433,521,555,104,830,246,884,203,799,850,341,314,997,914,323,939,674,461,901,
016,310,920,461,721,034,603,196,727,871,104,304,421,661,115,134,218,414,569,
257,191,352,251,876,548,729,827,796,295,724,514,918,790,022,129,734,804,298,
799,837,616,540,092,402,862,378,403,968,696,225,241,754,147,854,067,683,356,
628,835,673,000,101,738,532,990,431,097,408,693,193,055,509,259,260,507,871,
236,419,223,062,950,532,839,270,660,616,145,602,484,048,157,849,982,044,426,
078,023,960,312,200,941,913,197,880,636,609,939,772,784,802,519,295,342,400,
287,125,867,892,065,288,095,584,054,294,684,727,284,411,489,906,818,049,331,
901,826,591,682,272,308,227,542,153,832,189,250,881,408,654,928,944,324,404,
335,322,414,695,633,782,971,607,630,045,400,638,251,129,619,571,347,856,481,
422,814,218,106,860,371,416,782,294,422,043,789,747,762,092,719,317,491,664,
664,791,148,583,822,070,342,281,738,929,708,310,477,108,277,389,415,977,738,
425,453,052,973,171,710,791,312,383,006,794,390,998,327,455,522,838,809,725,
221,228,952,764,242,691,455,683,030,036,407,690,735,882,748,743,354,679,981,
388,619,414,631,253,417,414,051,611,490,843,165,518,040,330,951,130,745,562,
029,907,334,512,946,479,701,554,091,746,607,370,406,144,509,397,957,747,385,
098,058,047,962,834,739,362,146,848,657,928,838,064,027,377,593,864,857,422,
021,334,493,299,145,427,377,491,027,829,102,390,061,606,914,455,293,233,578,
867,853,417,694,104,866,446,350,168,869,746,466,555,930,034,314,116,233,364,
182,716,957,510,243,303,974,846,793,053,709,459,019,927,542,934,806,890,406,
917,031,881,086,865,445,772,418,895,092,361,488,818,710,264,719,041,832,404,
748,186,735,384,134,591,088,743,502,479,263,360,421,444,062,532,851,982,999,
781,661,044,186,301,175,827,387,832,661,431,699,597,269,864,294,075,627,088,
513,949,257,439,021,633,777,841,850,774,265,019,661,895,405,103,309,863,862,
354,216,062,148,685,539,952,305,910,740,700,919,128,646,037,415,139,373,080,
889,436,309,039,593,956,986,943,745,314,816,120,011,622,321,038,339,329,458,
615,547,528,167,657,652,256,815,941,519,071,074,238,810,503,015,808,395,805,
411,410,351,135,980,056,427,312,906,641,678,771,988,101,733,758,553,561,211,
015,989,556,377,609,647,834,568,359,451,217,604,397,947,211,131,714,303,305,
172,537,942,005,458,549,881,758,810,402,797,903,560,506,671,431,342,160,850,
099,922,984,811,292,626,770,368,931,815,799,456,204,218,784,164,830,307,438,
588,995,539,768,477,283,109,302,439,293,610,890,286,448,487,819,750,933,955,
126,620,864,994,293,184,197,586,007,220,324,267,041,183,278,689,274,323,947,
293,457,672,023,612,251,363,250,939,568,381,097,224,795,117,429,484,015,164,
316,314,074,024,933,287,140,082,658,080,042,341,738,244,575,041,731,807,823,
840,188,368,751,908,143,012,384,767,031,193,335,089,517,940,663,144,975,752,
235,836,321,791,648,971,449,158,899,236,636,329,895,680,091,731,905,151,997,
986,461,576,955,433,616,394,320,758,608,221,420,006,283,107,482,127,416,647,
770,288,608,809,193,610,380,069,183,120,144,255,677,254,621,941,844,168,979,
236,724,597,148,408,685,832,510,486,719,376,967,915,160,619,645,465,855,727,
355,306,995,908,847,736,167,082,362,264,709,914,210,254,877,179,748,339,932,
035,297,594,277,682,370,180,470,315,461,419,358,987,212,497,752,667,383,955,
364,124,443,264,418,770,086,792,644,221,250,959,683,456,301,685,509,701,075,
781,551,815,856,938,401,177,872,038,361,701,545,670,812,829,595,623,332,787,
217,057,931,654,155,417,062,604,460,170,313,241,269,764,173,897,934,851,745,
442,150,036,356,245,733,908,645,143,547,759,262,964,509,204,615,123,417,018,
161,198,544,060,661,588,871,998,670,126,330,903,094,635,342,838,983,174,024,
297,779,833,308,100,362,002,593,592,632,916,840,848,926,502,638,719,165,321,
624,856,335,643,784,917,074,749,881,500,737,316,646,313,594,985,594,096,195,
138,190,723,328,107,953,817,127,159,442,611,811,811,467,755,087,873,706,658,
782,221,485,998,506,516,273,552,583,376,903,413,274,198,698,292,356,217,603,
025,154,694,849,618,104,399,538,853,580,011,521,436,097,253,016,902,001,035,
603,738,665,653,558,108,318,383,922,780,337,215,721,813,949,313,918,369,842,
665,119,722,909,890,353,015,484,845,994,752,085,797,272,709,547,879,725,926,
249,452,349,195,376,581,477,404,485,260,090,624,725,824,504,789,030,365,356,
059,914,413,464,005,562,832,377,594,182,364,525,588,515,731,697,525,610,623,
238,263,117,553,543,397,787,148,400,820,584,829,021,849,152,354,338,780,833,
333,969,477,561,082,663,869,023,252,256,647,350,996,073,809,865,626,915,343,
205,817,465,876,384,502,863,501,700,281,981,911,799,490,041,527,669,166,731,
938,835,938,504,920,779,299,960,560,848,185,817,922,154,549,350,398,774,499,
554,110,380,225,420,708,252,690,441,537,798,890,958,373,408,239,128,293,605,
481,126,540,532,495,450,326,958,878,861,828,491,708,229,747,577,949,178,125,
222,092,567,317,695,060,519,898,779,036,373,702,820,823,174,422,402,819,851,
658,021,602,891,588,919,155,853,346,181,215,883,600,863,283,909,131,065,462,
928,442,951,417,221,774,079,066,714,847,483,047,085,898,649,743,124,483,923,
447,504,230,391,808,526,046,809,350,590,259,744,888,728,335,139,203,253,144,
707,712,764,846,890,987,325,239,089,276,468,304,966,316,614,725,384,405,372,
873,854,270,358,466,634,317,129,474,789,362,858,494,480,113,528,351,137,287,
738,129,881,218,945,266,524,410,888,238,467,983,850,930,880,439,113,260,112,
819,594,263,951,414,761,132,314,564,295,796,925,893,557,990,059,943,382,246,
392,764,043,115,673,578,328,688,954,576,184,397,611,769,842,924,712,243,610,
306,593,036,877,203,137,522,028,242,651,370,233,927,846,606,043,760,171,079,
573,231,284,432,763,418,402,345,440,908,434,803,788,504,931,377,584,382,419,
041,077,625,117,826,645,476,337,190,309,698,033,311,940,197,679,995,103,263,
687,164,951,020,940,232,481,725,361,021,261,246,842,045,330,978,308,518,757,
514,832,348,885,770,958,053,235,676,095,616,950,724,272,934,024,908,566,868,
736,815,418,146,914,883,066,722,044,711,677,818,426,128,837,724,365,944,453,
545,475,297,172,537,679,539,826,001,022,902,912,729,367,626,580,969,539,608,
869,722,829,157,795,314,900,206,021,826,665,928,915,857,679,845,167,504,587,
878,485,172,122,772,800,200,594,743,506,093,721,221,596,413,663,657,911,196,
154,036,088,859,996,199,705,418,857,681,710,124,895,719,513,970,120,874,951,
929,331,939,653,888,376,286,115,232,220,355,849,316,875,592,448,586,694,991,
941,479,622,307,334,876,402,927,829,477,024,628,976,413,465,352,598,270,799,
327,219,014,580,167,130,537,987,102,692,996,007,634,892,125,595,590,400,528,
696,406,679,593,874,055,348,188,411,826,491,832,592,167,571,610,409,757,381,
874,544,336,737,238,184,848,124,751,151,422,290,091,849,697,099,261,855,210,
231,018,817,923,540,887,326,460,356,577,300,387,318,738,258,596,840,560,325,
655,125,346,472,199,851,736,961,476,629,896,592,593,932,760,867,534,152,180,
622,819,482,522,219,971,179,017,071,495,084,139,114,910,336,739,264,458,280,
874,607,321,337,694,692,752,921,758,034,377,708,683,081,810,966,194,283,239,
711,047,390,788,798,562,478,398,873,569,785,677,289,685,817,657,062,566,832,
545,879,265,618,266,280,185,780,690,231,061,966,876,658,481,306,710,342,093,
710,638,290,359,551,635,631,925,345,116,826,424,630,297,644,933,482,498,650,
486,791,770,009,273,336,752,427,329,699,079,032,726,805,570,937,660,333,811,
114,728,679,504,221,733,346,299,367,267,506,725,845,170,418,606,902,262,102,
167,313,847,406,450,074,868,489,122,659,956,001,063,608,499,715,105,528,174,
619,394,773,964,763,734,098,805,388,732,335,714,809,287,880,721,570,241,932,
704,954,190,612,589,851,171,172,324,281,077,137,001,287,478,463,329,686,014,
025,403,654,346,520,394,268,905,025,036,891,739,412,522,874,410,855,098,623,
997,877,093,094,259,629,317,656,213,639,356,913,695,567,847,162,071,312,670,
832,463,652,424,416,126,786,238,598,635,318,155,753,234,838,977,317,399,823,
881,168,584,657,946,677,867,296,309,248,798,502,015,885,802,980,124,517,105,
808,669,375,404,489,665,486,778,926,666,969,791,640,397,991,479,850,826,856,
155,900,942,260,052,887,294,237,768,514,830,425,402,149,300,527,439,350,439,
663,051,552,673,631,779,218,674,516,068,154,583,003,615,765,862,227,397,929,
764,239,553,139,099,408,133,532,400,779,343,534,492,031,172,210,483,854,216,
937,359,687,024,397,527,352,440,651,687,013,696,736,541,360,317,215,600,424,
246,203,176,390,789,414,716,002,245,388,199,103,397,807,190,521,085,238,037,
086,685,816,174,687,444,032,419,908,825,249,954,624,807,068,339,022,274,629,
880,706,926,960,067,989,020,739,342,013,109,396,944,823,346,620,087,708,777,
552,856,843,830,402,918,862,927,050,434,274,079,834,381,505,691,564,624,748,
981,531,393,301,847,374,950,783,723,585,227,084,038,923,119,076,745,801,040,
110,555,758,350,507,952,126,782,218,616,661,899,132,089,797,336,253,264,383,
567,232,153,501,132,323,174,657,648,392,921,039,245,535,990,925,499,381,201,
011,712,559,427,293,933,451,694,575,906,610,758,759,114,749,060,279,221,322,
391,213,298,886,563,769,717,654,611,132,747,246,153,922,767,855,950,415,251,
863,159,681,428,173,763,996,153,114,454,726,404,799,215,928,119,676,173,609,
358,775,658,092,594,737,245,905,073,914,935,296,392,743,232,014,684,880,694,
728,553,843,624,249,088,921,583,417,656,368,225,412,391,089,492,663,418,911,
269,383,638,151,083,359,270,166,425,346,986,847,228,721,022,234,734,555,556,
198,986,119,334,120,624,758,203,551,722,411,950,542,539,219,491,025,418,389,
244,622,251,253,061,403,021,308,046,130,892,328,816,751,195,127,502,820,128,
090,003,986,100,249,268,290,647,658,893,002,604,530,687,120,936,861,078,436,
849,746,011,618,478,116,897,730,775,687,093,486,211,318,637,815,691,200,683,
457,885,422,989,672,839,518,995,188,230,706,033,296,650,499,410,942,493,966,
116,906,027,773,470,030,649,777,087,850,680,211,013,517,971,186,958,398,903,
035,662,043,638,357,346,693,982,785,814,766,061,049,254,008,449,157,235,248,
327,561,186,911,212,499,335,239,236,722,542,591,535,675,953,347,094,121,461,
021,881,219,085,493,602,838,977,079,272,253,697,618,224,566,165,053,437,230,
593,494,228,249,403,293,010,222,382,561,211,319,089,248,890,230,239,280,943,
065,011,937,712,603,846,937,722,253,720,616,322,081,698,743,924,480,911,719,
245,653,423,006,594,178,365,835,778,395,249,172,773,688,217,546,641,241,859,
653,239,330,187,758,358,735,294,269,815,424,536,702,288,620,083,800,621,116,
770,834,503,191,698,267,128,195,766,805,828,727,033,478,384,209,927,017,949,
674,123,464,129,087,643,084,356,967,907,884,958,726,699,075,375,561,874,345,
250,532,161,076,205,618,266,083,909,864,484,195,092,168,695,336,553,606,586,
519,776,491,355,231,001,442,994,177,367,909,158,932,394,236,280,638,025,751,
084,674,604,658,247,424,651,327,702,458,116,769,951,996,135,494,460,407,739,
034,022,772,933,122,853,065,719,451,997,768,983,793,739,825,382,870,448,092,
438,903,949,153,405,582,418,617,558,491,584,243,527,876,435,975,232,254,000,
647,556,803,257,306,877,915,917,365,942,384,212,943,020,434,026,087,084,697,
668,694,380,195,652,961,118,400,767,169,606,377,568,722,364,534,800,936,101,
758,097,058,029,921,867,115,418,958,985,930,356,370,530,766,157,930,549,680,
465,480,921,186,033,369,659,258,132,037,965,240,971,204,735,964,678,283,941,
391,276,575,301,745,153,930,179,821,715,443,813,723,684,501,981,874,697,559,
147,361,889,682,668,239,826,556,192,065,494,185,576,021,875,428,532,321,747,
685,347,624,622,738,144,891,247,382,015,955,571,183,149,603,849,359,906,745,
242,750,102,012,320,206,675,478,723,783,282,185,152,841,562,823,205,517,128,
620,657,556,609,933,278,107,709,880,198,656,486,953,215,367,687,811,806,246,
880,238,287,277,820,351,473,488,202,462,177,274,617,977,992,420,781,406,941,
779,030,281,685,588,549,417,203,992,238,180,899,243,206,263,241,707,673,615,
795,792,467,212,447,214,448,296,500,084,996,707,348,787,168,810,419,276,453,
104,450,438,766,908,732,683,403,434,331,526,979,430,882,306,129,780,224,144,
558,320,674,644,228,895,750,255,821,601,971,564,583,855,258,230,791,777,902,
632,217,682,574,157,675,455,650,820,730,065,586,361,132,309,024,859,623,982,
712,295,362,516,884,349,743,395,624,062,371,603,047,458,609,611,983,486,838,
923,337,842,853,892,892,954,523,371,857,764,882,281,352,487,433,148,497,759,
527,859,336,074,369,649,895,704,118,343,162,738,172,567,346,587,647,026,316,
458,372,341,830,191,090,073,022,813,893,254,625,021,669,331,026,091,711,712,
775,929,264,313,544,776,008,946,797,309,291,757,340,275,964,327,714,183,412,
270,493,741,646,183,824,448,288,424,846,371,312,160,576,469,211,026,572,473,
912,786,144,354,325,667,337,476,320,155,900,990,691,471,511,635,101,223,342,
353,919,354,744,629,968,145,665,235,214,010,795,374,937,055,622,620,404,391,
533,806,732,582,673,327,202,075,783,976,282,565,970,099,450,866,977,484,350,
076,229,522,453,512,380,074,404,795,472,972,334,243,734,821,771,551,339,007,
729,574,609,322,312,091,750,673,183,099,120,928,952,727,331,518,576,382,899,
177,790,193,150,334,075,796,858,149,382,644,394,809,848,335,573,772,422,570,
957,177,778,833,249,587,580,056,195,350,697,630,476,870,373,860,787,253,494,
961,219,934,580,471,539,614,520,461,958,529,504,562,494,438,529,525,676,594,
583,228,627,471,685,444,195,410,954,129,371,281,761,443,664,047,239,276,658,
423,401,326,222,829,049,009,563,484,966,668,659,522,160,751,561,110,714,171,
530,115,441,749,069,500,599,243,144,001,894,767,174,432,306,926,304,595,804,
118,242,853,958,084,759,597,188,239,648,811,160,969,138,253,215,254,349,307,
018,491,184,526,581,516,650,047,008,734,021,846,880,453,171,939,121,631,031,
266,606,443,039,148,816,800,597,914,306,166,898,677,804,728,341,536,895,778,
739,739,550,818,326,220,458,992,452,813,040,134,752,944,216,211,699,422,447,
086,446,210,111,760,763,351,079,907,798,588,001,478,195,544,100,586,049,257,
621,637,614,576,434,923,836,793,183,506,696,735,930,270,871,842,780,639,403,
489,112,808,737,938,430,749,409,008,922,198,631,093,582,292,831,766,626,583,
658,257,761,906,957,830,737,520,825,190,708,791,718,909,836,722,855,072,745,
468,266,005,271,987,667,066,589,142,267,441,999,096,200,546,720,721,589,066,
568,204,091,132,297,198,195,559,025,365,382,552,505,924,733,414,548,153,077,
497,726,632,206,322,333,634,982,333,227,892,248,581,647,336,447,484,721,892,
585,797,528,747,404,280,507,817,992,096,004,304,075,520,706,014,256,052,101,
259,142,493,775,467,002,227,114,397,666,060,406,682,672,838,604,715,369,700,
177,895,459,516,312,075,609,417,279,868,744,420,578,165,657,256,135,068,779,
829,704,574,689,898,664,944,195,164,199,209,016,808,613,661,889,521,445,038,
092,529,438,155,810,769,223,117,242,590,059,244,081,546,606,417,477,644,981,
068,792,426,327,589,320,007,081,901,188,575,656,332,056,446,626,767,456,876,
542,223,266,736,482,432,516,169,634,732,268,377,838,430,564,918,424,096,049,
967,457,665,902,087,113,213,764,995,524,989,232,031,172,770,860,171,571,366,
194,127,171,791,918,067,690,609,639,216,035,603,763,951,639,904,676,587,928,
863,892,371,908,278,881,155,939,965,732,569,755,860,635,037,263,674,185,668,
095,782,635,031,478,572,731,377,523,897,777,585,213,144,598,472,785,622,605,
177,863,491,826,300,499,388,705,407,810,454,926,871,122,991,220,990,009,194,
396,848,824,845,539,672,535,430,522,635,631,755,207,988,558,294,320,333,129,
362,555,693,278,490,844,937,272,329,568,234,955,982,557,285,759,434,679,026,
790,579,639,631,262,661,880,629,664,987,842,070,028,822,209,105,546,149,946,
038,097,391,436,796,604,312,465,155,261,930,347,176,873,411,639,675,793,294,
048,970,481,318,671,650,888,419,828,028,933,596,802,266,911,943,384,213,020,
835,366,689,672,121,922,496,201,020,391,653,638,487,368,615,847,153,393,908,
762,237,570,733,657,314,930,120,256,925,196,107,725,677,394,050,082,683,983,
870,342,878,789,392,057,235,816,394,871,204,027,652,138,662,607,412,649,990,
047,567,471,961,378,094,676,356,266,534,664,095,297,561,373,269,191,317,263,
760,518,129,048,381,263,980,205,713,691,081,017,505,695,069,723,061,948,150,
939,725,001,245,158,302,106,034,213,841,527,569,799,527,886,223,498,442,143,
904,321,497,155,227,757,264,296,490,305,872,368,404,825,926,739,808,377,565,
332,438,915,713,097,469,715,046,194,247,220,383,954,942,641,413,385,142,837,
464,913,573,721,054,616,647,001,271,129,991,841,698,308,092,324,356,602,401,
937,863,971,986,590,003,163,322,708,978,478,872,647,400,923,359,812,590,605,
666,443,156,574,082,471,053,278,688,656,651,667,829,015,057,703,379,848,351,
636,927,154,773,910,385,067,397,812,643,613,437,856,813,493,664,800,454,220,
067,200,828,728,169,624,061,737,397,954,726,832,186,580,396,608,715,437,273,
286,820,143,480,266,881,332,868,885,214,198,098,077,947,736,021,811,960,548,
362,406,455,082,037,548,602,703,764,132,291,383,463,344,637,417,727,508,007,
414,538,236,800,262,111,758,893,892,316,596,923,119,780,413,427,533,860,969,
892,030,218,714,599,837,633,728,474,291,213,397,003,630,232,846,990,469,981,
221,454,784,708,604,753,567,629,043,245,880,434,403,930,382,338,112,781,051,
073,963,824,751,054,344,499,645,600,425,718,487,450,517,701,269,667,444,106,
245,247,306,955,665,304,493,878,748,043,799,043,459,658,152,954,664,567,966,
751,146,485,940,507,717,760,653,956,908,877,114,925,309,014,658,211,413,993,
500,496,299,662,993,060,696,172,225,726,408,048,007,988,735,239,695,534,133,
507,531,717,917,253,270,650,472,721,649,304,738,809,507,276,589,327,429,580,
556,315,165,190,926,905,369,821,432,002,158,639,686,736,571,841,430,788,496,
105,705,988,521,543,854,875,265,919,954,736,537,789,997,187,148,459,098,881,
767,575,879,356,181,540,222,581,410,686,215,606,278,306,511,977,508,970,621,
091,404,611,150,394,417,557,909,336,381,081,295,298,489,212,158,290,098,281,
366,899,350,458,822,895,176,520,933,833,432,082,779,448,464,943,772,744,964,
364,121,459,493,343,448,986,542,937,249,069,328,488,075,887,580,239,602,933,
148,441,431,335,108,570,902,859,204,360,432,994,911,138,784,044,874,257,754,
953,751,445,136,930,624,876,842,738,454,420,853,135,426,805,963,138,493,449,
415,097,927,486,226,602,003,375,372,142,762,433,162,313,915,465,878,899,776,
970,905,156,413,666,978,298,648,892,118,045,051,662,928,644,743,917,372,756,
823,031,391,309,148,917,879,882,474,168,360,239,517,146,499,537,298,837,010,
319,572,383,717,331,340,845,634,819,372,644,244,410,989,587,275,278,499,681,
491,799,090,173,320,471,585,751,878,433,655,588,843,446,978,897,582,778,827,
918,947,484,543,811,972,413,843,981,726,992,629,521,708,812,971,462,819,164,
834,701,269,652,425,896,991,932,681,197,096,557,482,722,204,133,987,456,485,
582,117,435,178,642,746,987,904,024,673,144,082,167,246,106,886,379,809,732,
651,213,036,019,187,195,429,156,017,721,720,501,659,362,494,769,814,942,486,
412,078,118,786,394,508,123,136,039,657,797,396,862,478,279,386,430,991,633,
192,439,722,513,389,197,207,218,148,822,337,418,360,330,129,129,508,325,423,
712,144,305,663,866,711,290,454,859,444,772,186,034,681,216,062,392,498,302,
814,642,011,936,436,644,817,954,118,196,784,152,419,024,016,690,000,758,297,
480,721,932,006,466,189,355,651,527,104,295,318,451,713,273,945,279,401,647,
603,652,864,848,385,535,983,703,859,677,815,117,484,040,168,987,988,241,240,
059,942,125,690,948,976,540,877,071,067,486,622,821,843,845,299,111,736,518,
988,508,217,463,060,131,098,078,691,585,345,409,707,295,255,806,390,067,482,
292,666,614,197,154,330,897,362,205,345,635,848,874,296,852,713,486,490,874,
157,001,378,869,241,052,310,634,322,895,782,195,423,317,266,416,234,320,517,
256,617,756,524,898,238,769,741,819,253,032,533,253,325,919,321,639,911,754,
100,235,753,078,974,598,779,489,005,278,186,381,662,226,908,998,367,186,936,
637,375,826,123,212,488,148,180,363,484,423,257,004,180,745,736,766,864,579,
866,749,526,428,883,854,005,818,339,916,067,460,626,003,324,871,780,012,247,
573,123,173,502,321,196,071,067,909,367,351,546,580,583,166,043,499,051,745,
668,433,981,511,423,336,345,905,203,484,741,488,334,062,423,361,590,896,900,
383,939,831,954,702,432,029,726,523,739,929,533,267,891,391,853,000,098,344,
100,159,189,845,876,911,759,169,578,850,605,352,101,856,814,289,460,572,781,
323,605,631,569,008,988,728,307,512,171,250,187,331,145,139,426,841,822,660,
092,895,845,006,553,762,001,111,304,244,072,904,276,180,978,705,268,480,894,
476,396,781,057,587,503,386,811,825,428,811,775,938,790,534,334,006,072,857,
324,220,569,439,312,076,392,675,715,070,099,194,211,511,397,834,735,298,859,
968,930,587,710,951,847,988,401,202,146,149,666,475,367,919,201,821,436,416,
444,433,984,079,812,147,803,695,775,491,937,103,667,009,404,737,065,787,827,
912,911,175,700,785,404,087,301,350,900,044,390,845,592,109,991,018,533,148,
670,248,070,712,194,073,975,867,082,616,404,772,477,975,185,767,948,754,820,
833,054,454,122,305,693,525,333,178,444,426,783,900,965,121,036,263,259,556,
160,318,977,823,248,628,687,632,317,927,784,060,432,603,027,421,480,405,944,
961,299,065,912,487,035,649,151,131,560,173,538,260,221,267,057,263,896,359,
666,134,545,697,786,263,296,277,290,106,710,860,224,903,623,508,570,985,050,
473,476,772,112,803,579,970,752,939,432,601,145,655,327,595,959,204,264,992,
972,835,637,639,127,678,487,596,724,433,039,236,310,308,540,822,638,902,401,
198,408,206,741,257,844,596,867,302,667,143,090,164,331,742,618,908,969,474,
564,035,293,883,644,773,767,270,723,407,906,285,387,596,843,216,932,691,915,
582,253,700,692,477,996,499,464,989,309,511,361,108,457,700,744,541,958,658,
657,405,283,500,183,152,640,741,621,064,781,271,874,258,752,376,972,902,271,
838,627,564,499,751,049,725,987,288,193,597,321,413,250,162,008,341,053,877,
220,177,091,751,703,699,811,677,111,597,946,456,448,626,988,332,721,679,846,
938,660,750,542,488,271,400,485,627,158,382,370,608,554,819,593,045,992,667,
473,926,247,406,693,751,872,979,930,213,173,688,958,166,851,593,449,611,514,
946,880,114,556,261,719,615,430,742,444,902,361,994,855,520,344,527,595,632,
948,826,932,352,075,309,221,989,919,998,861,653,575,819,083,686,556,834,434,
653,014,287,523,832,909,896,366,172,841,399,862,431,139,111,421,043,500,903,
989,902,578,085,699,860,386,547,098,308,705,145,651,346,660,185,335,621,990,
690,348,624,732,584,099,442,020,573,720,249,139,204,546,748,558,654,205,166,
795,703,200,755,616,420,419,087,037,563,092,854,391,584,913,560,112,908,944,
474,869,376,374,669,265,329,732,948,855,988,920,170,378,873,899,265,833,727,
297,513,404,295,936,899,218,280,199,930,463,424,924,019,782,428,865,378,770,
001,174,277,975,196,672,270,182,555,906,428,361,199,376,153,989,494,367,537,
310,904,432,204,600,225,857,039,498,327,488,089,173,325,236,543,708,991,588,
353,832,518,820,237,148,793,600,802,977,595,153,858,032,546,504,836,997,578,
533,399,382,042,500,047,064,211,159,418,865,228,129,980,121,139,303,930,913,
064,212,127,840,387,479,722,646,979,340,388,125,427,758,645,998,753,372,103,
593,369,737,629,115,084,814,267,622,120,037,069,038,067,811,656,807,891,864,
837,110,197,153,454,626,644,748,146,509,413,160,880,958,755,662,322,981,619,
121,378,825,804,199,669,343,074,376,375,742,811,903,635,423,116,621,748,004,
461,160,855,973,686,309,722,796,327,128,581,736,148,336,579,659,742,452,949,
933,149,527,289,604,383,137,661,201,651,164,596,950,422,557,415,966,861,953,
201,651,151,447,080,242,410,427,424,171,592,897,209,610,436,924,173,304,320,
727,560,111,008,025,494,480,166,123,686,434,343,114,464,811,471,050,184,153,
124,630,421,465,035,918,919,674,526,642,921,004,597,805,697,997,803,547,767,
892,477,398,775,044,957,143,773,085,882,786,958,490,956,823,356,164,649,081,
185,108,552,716,512,080,904,045,659,945,300,023,385,849,111,795,080,786,047,
211,254,754,335,510,416,964,089,724,971,236,820,395,318,763,005,866,847,378,
815,876,342,028,396,635,906,565,705,821,524,607,580,363,213,464,704,569,797,
383,312,485,273,787,098,931,737,458,995,453,632,689,141,274,463,310,383,900,
311,019,535,932,954,201,930,709,488,644,142,397,338,810,430,301,506,491,020,
069,420,600,535,140,432,440,064,509,000,349,601,942,741,516,316,691,732,278,
618,088,756,064,966,757,839,895,813,827,095,477,508,999,873,522,753,170,884,
971,565,766,737,241,888,423,712,617,110,369,612,131,793,441,389,579,560,494,
528,332,252,548,463,179,028,734,192,463,121,513,776,367,770,781,257,505,065,
011,054,136,598,097,397,907,794,954,117,492,201,462,281,502,732,877,103,368,
876,408,798,047,590,907,689,690,564,288,619,595,972,835,592,332,351,509,968,
592,427,459,551,627,893,043,566,389,174,382,764,609,196,476,027,517,016,488,
746,594,950,582,043,153,030,220,922,100,642,742,025,020,083,050,798,688,448,
807,216,376,445,512,411,514,085,687,707,119,941,881,954,012,761,800,868,122,
700,443,344,840,993,664,204,869,684,330,369,099,147,009,537,142,158,997,720,
156,606,731,243,348,500,852,550,603,202,689,338,446,835,546,608,999,302,389,
374,486,102,071,929,936,578,270,290,307,968,476,636,424,059,527,664,354,410,
083,542,259,235,054,782,897,538,047,577,319,033,555,803,621,006,916,957,687,
611,445,300,401,422,246,224,781,999,235,273,540,594,302,780,167,105,858,175,
428,874,154,293,380,042,112,524,447,562,922,303,284,451,092,161,760,563,552,
907,637,695,196,329,731,733,331,228,545,150,800,267,718,623,407,055,070,432,
715,191,728,628,707,845,408,901,992,577,653,478,986,660,686,476,468,624,651,
628,424,525,683,415,751,307,528,084,102,220,655,474,591,486,122,212,306,749,
811,432,766,669,137,133,327,765,821,786,935,209,670,290,743,074,442,906,314,
066,351,459,792,033,458,580,891,097,522,393,669,946,788,887,934,405,286,249,
465,534,257,950,409,861,762,709,439,517,437,376,556,040,113,575,217,563,700,
119,138,313,354,210,790,267,669,719,575,813,575,128,627,910,956,490,331,003,
569,356,964,510,705,482,566,466,826,016,456,953,621,776,906,508,869,390,910,
400,920,576,758,985,192,514,718,525,285,387,080,813,335,400,322,253,765,036,
038,828,668,013,353,208,228,938,528,988,803,801,985,021,886,589,735,686,879,
672,645,040,415,275,868,791,793,847,563,255,574,411,784,512,597,797,465,845,
670,338,188,219,775,504,724,364,918,300,716,861,141,033,184,388,856,839,374,
943,992,297,284,762,786,648,292,517,560,394,444,268,172,953,493,132,821,564,
270,266,668,840,809,182,087,427,701,752,174,175,520,667,915,125,026,189,391,
562,196,674,273,330,356,856,800,590,324,114,775,551,786,281,777,994,016,132,
652,281,869,517,461,773,797,685,583,074,704,599,953,505,296,767,927,663,632,
721,537,602,302,938,893,724,959,939,127,789,238,335,125,685,757,954,875,005,
989,550,122,528,317,727,021,539,819,454,812,543,697,361,437,396,543,724,096,
642,495,561,534,520,628,313,772,365,276,271,736,490,580,406,576,599,291,817,
510,908,877,580,782,334,255,093,780,843,153,505,269,202,057,411,010,299,003,
358,723,647,108,470,476,141,980,788,336,768,262,060,353,404,197,450,913,330,
872,981,989,358,539,324,636,646,870,619,559,730,159,185,391,174,379,122,961,
799,721,292,453,434,831,757,212,363,283,493,731,790,370,763,336,557,064,153,
066,142,506,040,355,253,929,471,527,600,439,683,834,151,319,060,121,821,352,
672,797,519,203,838,528,381,053,823,552,216,283,430,308,974,741,794,189,678,
564,400,198,535,846,130,798,242,915,902,866,477,624,033,751,552,017,395,888,
767,735,402,157,890,243,891,651,018,051,836,934,956,946,731,708,588,315,913,
635,214,473,777,458,178,889,198,692,009,275,488,293,117,308,967,128,741,134,
650,105,230,268,659,061,326,233,680,436,871,878,732,338,185,434,528,480,979,
199,462,240,273,247,821,747,487,066,428,197,954,728,553,898,779,578,525,836,
773,323,368,402,314,758,474,431,821,614,970,002,893,880,334,054,645,797,974,
440,104,904,980,546,532,150,317,324,449,206,441,497,305,981,957,343,522,292,
965,671,482,265,372,196,075,532,379,247,990,572,285,790,052,509,753,787,533,
104,613,946,686,675,136,233,260,620,796,147,262,056,553,169,981,192,670,285,
368,032,128,885,199,300,240,941,705,138,929,827,252,306,403,466,020,726,209,
655,291,987,513,607,362,958,976,170,418,919,647,787,532,070,039,558,885,830,
905,820,819,291,909,182,461,026,761,435,262,791,477,250,864,963,733,482,015,
788,316,730,759,711,905,500,195,743,829,736,142,310,329,584,432,511,117,607,
932,855,398,260,614,647,341,869,183,405,571,376,423,202,943,502,281,759,774,
397,286,241,435,876,957,629,317,000,056,722,841,159,430,068,102,066,675,076,
706,522,284,973,954,926,304,779,231,568,756,685,712,671,358,513,914,211,016,
877,070,252,303,632,946,565,480,598,051,135,053,179,767,716,514,822,808,193,
173,648,600,259,378,702,236,909,507,189,582,675,962,508,921,424,804,147,589,
826,222,077,155,741,034,130,131,642,368,947,285,661,329,459,665,273,940,159,
019,888,059,967,583,032,124,179,334,478,951,083,856,163,856,918,909,889,260,
919,209,048,505,589,098,933,535,786,736,936,140,309,090,208,872,023,632,563,
501,206,361,823,633,272,341,890,303,381,994,876,752,909,984,242,898,337,850,
483,885,886,023,514,719,066,839,075,741,148,351,451,940,206,108,782,440,939,
923,647,039,482,404,130,999,016,662,718,787,908,334,380,929,412,607,329,594,
763,444,938,319,521,445,936,222,850,197,576,765,606,279,389,941,734,346,192,
945,681,356,451,133,199,027,225,524,774,838,262,156,129,525,262,432,747,749,
369,906,808,201,914,437,061,327,654,613,293,471,478,714,076,823,703,341,418,
324,275,522,801,594,149,096,738,791,194,915,795,015,140,283,897,506,373,701,
003,098,666,664,955,130,160,039,175,841,804,334,198,528,699,826,006,610,699,
790,104,507,639,498,671,010,942,335,525,133,752,917,476,022,915,495,792,905,
287,674,513,276,420,679,137,348,131,529,845,418,352,873,617,188,466,519,686,
778,015,794,661,633,319,566,860,139,304,666,311,986,312,259,269,244,971,518,
298,842,057,416,198,413,778,678,712,845,555,434,460,367,814,722,920,798,097,
481,874,333,053,661,554,410,853,761,987,513,935,726,575,910,752,775,814,846,
936,469,121,215,496,208,391,323,649,179,576,214,275,374,910,180,256,184,324,
481,104,415,390,795,430,014,795,479,798,235,183,298,939,634,102,860,006,585,
177,348,140,945,673,467,521,238,875,801,349,436,123,586,252,979,337,922,211,
881,576,581,238,211,264,674,662,971,785,342,471,762,167,606,006,876,934,545,
378,338,213,009,293,111,942,686,523,830,178,075,762,294,544,608,305,172,602,
447,798,772,184,269,882,352,105,891,861,738,629,815,024,633,285,153,075,195,
795,422,220,851,317,279,071,448,471,170,511,890,961,137,874,367,889,954,903,
939,279,588,623,219,460,599,916,235,529,644,705,068,366,605,728,149,164,919,
201,274,540,866,107,849,180,928,587,449,371,175,063,445,217,835,081,035,033,
520,746,145,856,025,584,215,152,221,063,367,649,647,771,995,281,043,381,650,
660,301,889,681,506,148,363,402,190,783,237,710,621,162,835,549,428,376,906,
143,750,145,303,937,408,568,177,725,035,107,453,402,816,728,213,325,995,144,
224,874,329,573,306,721,759,981,183,440,526,810,435,485,724,635,050,259,772,
540,712,426,108,061,097,305,391,539,490,645,328,573,975,973,267,367,018,475,
994,319,280,209,258,365,023,323,180,672,087,935,199,911,546,712,851,490,519,
455,929,459,173,899,629,861,367,449,574,569,422,506,906,146,453,240,165,313,
915,788,841,546,228,746,600,877,309,804,274,332,472,349,238,288,786,673,124,
236,919,739,561,188,915,688,626,649,947,509,556,430,244,103,172,677,411,800,
057,442,509,535,016,659,424,752,167,174,451,541,035,508,617,688,542,368,452,
549,094,166,293,874,913,755,216,937,944,847,400,031,380,599,557,013,553,716,
709,039,162,767,945,726,636,365,466,479,949,225,506,621,554,702,966,436,020,
804,522,618,989,825,708,003,902,828,450,165,128,566,049,241,411,481,810,339,
450,928,399,382,734,398,210,755,139,788,586,983,016,018,438,836,583,179,121,
403,848,396,149,064,313,756,065,877,429,257,151,918,768,846,679,543,809,045,
497,568,778,465,316,244,774,488,594,381,929,038,689,533,883,689,343,463,117,
002,659,059,163,589,292,653,191,795,986,863,725,370,931,190,038,235,793,923,
671,572,091,142,282,593,930,923,864,720,640,817,804,604,633,403,371,801,685,
295,747,004,498,814,922,280,962,324,243,157,994,075,472,781,664,071,736,450,
203,582,809,017,819,552,633,715,356,663,210,268,655,398,050,327,738,961,652,
507,185,429,521,589,728,148,517,788,772,620,807,564,946,700,356,027,626,168,
657,006,419,133,292,507,683,667,139,942,137,584,869,940,404,635,430,571,263,
082,875,588,885,895,950,041,498,102,033,613,259,809,216,267,805,350,778,758,
651,707,937,590,591,840,824,151,504,260,714,006,108,648,248,845,116,061,719,
534,057,680,200,498,298,249,021,149,695,053,046,635,036,512,573,548,936,511,
978,184,127,780,134,358,189,008,226,595,176,350,575,446,448,237,357,375,528,
317,902,370,715,387,224,830,942,558,836,090,603,732,562,923,906,797,533,586,
684,366,786,557,261,493,364,024,915,878,486,271,896,929,330,171,815,303,050,
967,117,691,865,881,971,517,004,414,939,920,086,528,559,496,518,034,819,704,
447,749,927,957,637,371,519,788,512,030,631,328,064,699,037,222,677,500,430,
132,081,847,709,533,335,641,982,814,632,133,065,373,368,646,092,190,603,458,
480,954,175,678,604,758,155,568,280,709,849,846,069,707,971,181,784,100,687,
400,248,182,604,278,247,945,213,299,044,629,812,921,624,813,869,312,116,516,
024,805,380,891,781,196,589,429,537,008,603,948,045,966,572,913,610,434,312,
007,200,777,764,806,345,298,317,041,847,555,774,042,674,668,929,016,134,868,
732,065,981,222,681,892,054,097,785,282,677,467,814,656,336,422,775,992,191,
823,649,619,763,715,003,543,349,883,646,252,623,898,563,457,128,113,224,204,
735,028,622,537,288,596,416,412,331,662,588,872,726,418,215,662,770,060,722,
988,121,893,776,193,851,359,870,143,536,250,454,874,063,946,343,632,972,681,
809,379,592,455,048,818,376,549,622,217,933,152,785,245,229,003,141,815,752,
836,056,747,958,666,324,518,429,261,204,886,846,229,163,758,668,541,039,386,
442,389,240,233,657,063,221,868,100,811,738,193,755,608,914,382,133,295,602,
368,709,678,527,779,832,298,383,179,814,496,894,786,028,318,512,051,147,083,
172,537,071,225,588,209,817,595,913,361,822,574,407,072,510,525,082,276,863,
050,429,289,019,303,428,592,499,556,873,657,474,332,234,188,240,960,639,902,
964,552,577,859,970,792,075,856,858,747,540,364,624,157,797,283,038,480,708,
519,514,990,311,289,787,578,191,141,504,134,916,357,754,383,793,341,805,833,
394,302,591,640,581,521,114,634,853,336,289,106,319,289,758,697,798,380,014,
644,701,148,987,205,680,104,490,821,903,016,839,767,556,118,728,884,934,970,
030,093,341,505,381,258,256,051,001,410,830,555,360,196,540,824,226,556,173,
833,386,165,901,706,800,798,488,766,906,529,265,704,767,613,845,286,684,588,
596,876,674,429,377,793,898,179,440,674,905,354,073,692,975,772,113,709,399,
698,655,640,981,114,988,279,669,923,307,884,908,326,247,674,576,077,444,876,
633,793,182,471,355,625,208,700,713,458,916,408,465,207,229,160,630,610,874,
330,794,089,677,459,181,146,722,149,164,794,382,175,883,806,580,646,053,481,
396,189,998,991,914,681,871,414,026,142,712,176,711,529,060,328,029,569,365,
601,675,919,896,534,515,427,209,105,097,211,450,920,216,029,011,962,365,199,
833,096,575,221,371,843,659,831,075,080,735,384,717,564,861,048,617,079,495,
403,850,032,099,836,384,727,094,413,093,016,265,369,378,106,077,549,477,130,
865,886,172,382,042,471,801,942,919,404,748,487,174,258,624,607,707,755,258,
126,388,796,345,476,663,835,669,347,939,654,502,432,461,612,865,667,011,152,
118,806,555,235,351,905,392,302,869,667,520,997,148,060,991,859,327,185,392,
114,548,157,793,709,410,267,560,180,653,673,933,908,052,241,049,847,267,857,
794,800,867,671,075,416,362,719,598,282,867,044,757,504,054,219,616,710,109,
230,614,871,215,422,248,193,803,414,022,275,538,473,148,235,239,832,362,846,
675,678,924,373,982,604,750,808,666,040,882,479,163,496,973,909,418,877,725,
993,750,783,804,060,434,185,668,485,649,157,684,263,959,914,168,647,234,549,
688,869,990,637,268,877,070,241,895,231,414,035,530,145,866,570,014,626,986,
186,430,078,950,482,499,596,774,988,069,790,609,233,203,843,748,629,430,855,
346,463,087,578,052,107,439,351,256,522,283,148,965,945,164,410,984,933,679,
919,720,195,904,495,416,662,428,523,566,290,814,382,304,679,736,713,484,793,
906,351,282,847,442,089,913,018,454,667,952,705,642,928,046,538,537,858,333,
533,778,116,921,199,003,644,418,841,892,518,800,004,109,043,454,718,266,732,
116,727,913,412,561,546,025,981,016,366,535,526,368,767,934,380,943,016,417,
399,260,775,640,510,472,337,925,024,335,172,328,710,583,916,754,253,639,919,
142,316,046,244,164,818,226,321,912,989,423,859,768,071,145,046,791,669,707,
768,834,734,808,487,826,651,079,120,352,406,851,561,924,501,038,121,497,264,
703,116,515,005,423,311,954,346,822,176,031,068,494,008,142,177,111,118,280,
831,141,685,982,801,742,627,629,178,492,354,776,676,198,406,265,329,407,891,
424,794,197,842,820,659,348,637,882,776,531,621,276,364,186,888,259,084,719,
614,192,749,465,125,019,701,900,578,659,510,812,595,189,078,648,686,936,440,
200,965,107,587,152,128,730,207,504,176,869,891,430,986,454,681,880,325,194,
675,713,609,109,711,635,532,853,256,738,261,640,469,456,232,312,480,869,312,
431,133,056,148,098,474,317,086,110,677,458,646,017,695,217,867,811,220,093,
755,988,917,119,582,647,057,478,301,828,088,270,777,657,951,788,300,707,494,
185,731,776,270,444,832,049,113,538,627,596,209,434,767,497,763,464,080,947,
596,465,312,880,970,095,935,046,231,492,700,092,823,153,522,119,858,073,040,
168,008,317,009,417,464,033,082,922,091,185,422,057,964,052,279,527,021,461,
685,635,319,329,460,426,409,142,214,381,198,344,783,346,771,411,104,950,611,
304,511,744,786,156,195,203,071,493,125,800,322,035,072,901,404,895,031,063,
134,206,607,178,918,895,149,865,252,256,971,403,540,864,437,751,078,127,936,
072,670,802,976,687,390,222,538,890,159,980,941,631,061,686,041,776,419,378,
864,425,892,152,994,528,368,428,160,489,067,936,143,758,157,286,346,675,434,
771,122,246,661,752,112,014,161,248,372,572,488,933,344,758,133,159,302,126,
735,842,188,826,841,190,860,607,635,982,121,447,354,600,325,981,471,835,666,
487,415,878,300,581,086,541,558,483,782,300,533,065,751,360,341,173,650,344,
301,661,847,018,827,679,814,783,344,844,074,695,481,520,165,742,225,512,850,
055,796,902,125,983,906,075,399,555,581,616,464,404,816,622,543,312,252,501,
609,631,195,461,019,904,239,139,069,217,261,278,806,437,361,381,260,879,136,
296,789,840,636,184,861,689,521,674,247,846,003,656,100,868,252,305,647,098,
160,333,143,918,554,809,704,963,176,398,975,100,003,095,890,389,931,078,616,
325,515,297,651,018,476,993,294,469,189,964,220,021,668,218,643,434,554,243,
397,707,849,019,721,174,808,259,182,552,326,416,364,953,346,036,730,201,268,
402,385,157,983,117,077,300,457,951,804,545,431,416,367,480,398,333,156,027,
459,726,832,267,189,027,485,395,667,317,248,287,306,338,041,395,651,407,457,
641,070,914,091,524,626,680,512,859,754,369,192,356,514,288,806,151,434,841,
784,636,228,525,372,750,999,455,809,534,972,301,677,292,123,292,334,314,913,
966,215,032,063,884,893,024,037,631,254,790,904,441,576,800,866,710,767,945,
908,751,262,381,504,378,099,607,846,623,095,170,149,016,813,923,830,810,605,
794,434,915,154,830,775,793,021,694,485,959,815,908,400,996,363,724,107,719,
870,429,847,417,065,719,897,884,636,584,713,292,561,815,276,378,674,323,539,
747,114,987,044,265,295,670,407,124,047,744,634,950,298,273,694,112,960,934,
370,697,822,686,668,485,951,927,465,475,711,052,054,869,462,008,241,000,425,
138,843,637,364,353,597,541,496,939,921,261,699,321,882,119,011,638,287,510,
512,407,557,773,458,022,831,742,502,359,163,125,212,503,336,397,988,182,780,
976,202,483,698,655,751,874,763,323,525,557,520,543,073,329,720,310,059,628,
412,255,798,599,284,268,730,885,257,509,805,793,458,414,678,507,768,551,814,
071,667,787,647,908,568,267,348,899,491,401,426,609,391,764,734,140,311,367,
939,975,247,497,972,984,802,383,131,950,254,860,670,245,103,153,953,599,810,
260,668,338,913,138,354,530,496,871,446,673,745,664,805,397,692,147,186,102,
907,304,208,995,457,576,173,264,812,450,120,115,300,156,788,192,007,562,526,
358,395,633,719,564,476,617,020,160,975,441,519,786,124,392,515,537,718,158,
095,206,513,073,236,945,556,130,424,544,028,443,614,487,904,422,351,977,527,
827,877,507,859,501,502,503,373,694,932,517,916,445,456,391,134,650,041,286,
121,490,291,221,495,239,668,187,157,221,246,910,901,685,394,017,192,999,725,
724,147,990,364,709,822,451,173,398,962,045,549,639,733,106,556,853,434,425,
464,408,475,708,010,375,363,942,286,329,122,926,781,930,072,180,586,613,882,
411,051,803,614,655,316,786,397,789,153,840,566,552,421,915,111,930,421,053,
262,091,083,585,034,902,651,645,052,878,878,238,225,487,620,014,093,234,725,
220,739,369,356,105,826,981,614,146,438,498,339,881,161,721,706,643,969,875,
163,336,089,392,943,488,781,874,516,852,677,131,856,258,465,567,081,986,398,
369,642,557,569,827,958,707,923,931,302,464,761,451,078,316,167,902,865,464,
555,272,608,102,536,616,394,256,842,308,924,188,988,345,961,055,069,548,428,
420,442,123,451,241,313,694,385,691,811,798,102,431,003,274,030,028,833,558,
599,534,336,814,052,536,218,748,791,214,422,861,752,703,481,522,407,258,686,
168,205,083,173,897,287,971,237,309,282,629,572,345,417,770,394,811,994,432,
215,745,775,908,715,979,433,928,510,999,389,573,774,408,303,858,034,725,935,
827,964,486,627,801,948,401,959,245,036,357,976,209,915,010,818,639,634,804,
844,721,308,195,810,735,626,918,603,108,946,069,426,698,943,755,425,638,399,
861,693,807,031,001,017,529,191,951,225,537,758,413,641,239,977,300,503,302,
132,997,248,923,564,919,460,213,248,460,984,954,087,117,833,261,728,241,881,
176,895,786,178,842,953,180,384,382,399,622,006,955,676,928,739,268,675,041,
643,685,149,010,879,762,182,838,731,123,123,870,438,807,099,942,954,448,652,
736,083,841,066,994,896,033,095,714,952,771,828,954,128,738,429,005,282,831,
746,742,288,317,555,270,966,982,086,173,456,148,867,495,802,602,929,424,620,
489,384,481,373,081,602,442,128,272,262,838,831,014,405,758,720,220,959,328,
464,114,986,482,417,107,965,529,084,773,881,975,691,820,358,790,265,233,227,
316,905,932,239,717,995,050,396,624,001,258,386,492,207,023,627,102,074,164,
039,262,824,799,075,673,361,922,329,814,700,669,668,762,998,991,778,336,251,
868,166,201,631,251,225,808,037,781,183,072,979,087,545,823,949,681,253,603,
753,186,404,802,126,048,815,003,368,590,980,133,567,706,920,132,099,578,487,
582,353,900,805,232,852,137,434,318,679,254,119,332,834,193,109,950,965,495,
593,229,483,283,869,591,991,894,599,791,821,189,334,616,738,044,732,390,213,
057,374,309,454,371,509,702,327,424,554,132,474,487,465,387,560,456,322,167,
824,243,001,287,669,659,014,991,319,844,757,032,865,748,057,436,093,306,748,
172,112,376,269,069,257,155,968,323,677,250,182,668,539,667,682,259,017,993,
851,202,869,002,929,621,950,693,616,997,467,687,348,722,187,860,987,663,992,
606,089,061,289,320,529,215,245,446,724,163,005,803,569,917,084,794,324,030,
083,071,817,574,977,948,674,349,373,156,814,591,555,485,863,761,950,873,101,
601,962,161,119,245,109,984,063,477,599,747,515,433,862,276,411,915,562,802,
142,964,693,188,508,306,186,945,811,080,638,501,283,384,821,206,783,287,202,
880,377,126,806,166,372,590,699,675,096,826,203,827,108,581,077,853,659,133,
142,771,028,278,524,879,004,579,624,854,733,690,230,675,882,847,887,080,524,
433,683,493,151,022,623,351,685,334,359,642,812,711,821,844,521,273,975,000,
181,916,624,243,210,261,097,284,293,188,033,934,706,805,281,379,060,853,551,
446,669,192,011,656,624,675,109,246,929,200,434,432,932,992,323,729,990,380,
869,959,188,936,412,667,749,655,271,648,081,062,545,592,577,121,442,518,929,
880,306,229,124,510,099,652,416,575,803,213,179,559,632,637,393,810,448,998,
294,851,982,794,413,767,042,366,372,706,648,656,030,942,081,263,190,465,972,
100,802,043,593,934,443,859,454,676,319,291,474,276,396,892,944,203,453,957,
224,147,833,764,195,494,587,126,825,500,715,634,527,146,644,953,597,116,059,
560,484,771,939,461,265,044,310,643,670,614,999,196,219,211,836,039,762,657,
008,619,223,591,515,416,080,550,464,407,981,707,525,236,390,180,969,621,962,
978,178,929,025,975,730,207,057,314,582,918,224,153,432,472,973,570,313,976,
441,539,906,491,802,982,622,787,196,365,109,721,451,863,228,426,490,929,659,
735,352,773,943,286,109,553,228,677,927,343,893,117,734,106,900,353,142,092,
798,155,961,435,322,585,272,899,416,435,419,237,402,098,533,088,290,890,000,
446,066,686,577,745,596,112,929,539,304,932,649,338,567,912,763,903,771,817,
324,248,556,643,100,802,870,572,170,180,063,949,782,687,755,834,038,210,218,
220,418,720,987,489,934,508,628,432,525,465,306,527,241,451,179,797,496,215,
186,498,110,766,094,193,934,678,935,340,503,520,429,098,618,468,585,056,881,
240,561,486,294,220,577,116,444,357,967,138,257,323,811,590,784,335,951,156,
063,997,895,962,647,689,853,928,786,271,516,567,222,656,046,460,652,223,268,
470,897,826,858,098,832,189,268,314,613,924,228,057,776,999,839,362,143,123,
382,856,470,611,543,855,944,348,556,920,698,835,912,513,014,988,182,380,703,
653,642,965,596,778,079,544,838,389,541,185,216,202,988,123,792,719,088,592,
459,930,278,410,963,802,074,397,377,493,456,260,903,337,826,407,088,616,117,
645,603,296,978,495,099,941,414,917,403,421,566,590,585,760,465,072,357,005,
550,587,003,302,784,126,205,401,325,904,439,018,052,640,677,292,581,645,618,
214,905,144,579,865,690,609,672,569,074,369,841,377,992,790,759,780,186,189,
607,598,601,142,629,444,423,658,029,031,038,198,824,328,810,059,657,365,943,
324,002,247,406,385,607,311,332,983,074,254,042,319,363,629,095,854,807,798,
389,060,726,891,169,291,130,488,823,812,805,661,164,538,816,287,454,056,860,
037,452,487,583,465,570,910,018,636,932,508,491,345,640,829,397,306,788,955,
932,140,339,697,821,946,406,255,093,858,159,448,995,439,944,892,537,931,597,
406,258,646,481,395,377,587,940,372,221,729,203,714,411,207,474,218,336,738,
333,412,193,711,475,132,215,193,079,302,371,733,739,489,575,571,721,537,232,
612,548,763,857,246,724,938,773,560,731,204,847,709,657,103,771,917,162,730,
784,435,929,702,214,408,759,424,777,919,419,641,006,479,754,372,657,670,948,
976,887,950,347,490,044,944,463,129,319,751,264,525,824,759,388,277,286,666,
156,464,272,427,542,232,789,165,666,423,050,964,895,728,506,505,925,458,896,
745,400,648,035,279,571,772,383,741,395,328,124,895,557,336,857,563,916,689,
555,923,687,476,239,723,003,740,918,282,693,740,077,329,226,469,693,790,532,
584,177,672,551,679,160,012,899,211,351,063,775,605,957,198,815,664,396,692,
160,358,898,964,921,477,292,621,578,438,269,381,930,164,542,540,727,947,690,
288,546,374,390,330,582,075,244,776,454,872,246,294,914,400,505,044,538,215,
288,888,169,104,420,755,734,684,057,090,863,252,498,054,121,717,631,320,087,
862,246,279,187,953,145,918,459,454,107,881,081,079,975,781,909,827,063,972,
240,712,118,196,050,026,145,444,891,320,964,521,600,394,672,861,238,084,968,
196,767,751,519,194,093,565,153,524,739,762,041,008,175,801,811,220,304,270,
459,962,313,645,619,430,351,001,717,019,514,508,240,515,255,121,580,826,320,
617,848,704,122,343,476,431,234,511,470,822,222,619,018,397,497,565,153,004,
747,367,128,345,846,432,292,123,618,838,010,486,373,916,435,861,346,533,587,
676,419,550,102,353,208,757,784,230,548,554,458,286,701,356,901,645,495,362,
700,423,360,472,389,095,607,667,761,366,454,735,594,384,051,482,903,228,458,
675,764,837,927,713,181,527,449,159,045,376,782,884,275,489,661,255,651,140,
692,698,320,798,272,546,808,096,478,922,244,151,978,420,328,876,281,716,314,
131,654,067,392,883,925,027,541,485,101,202,393,651,918,895,020,169,921,730,
073,705,683,013,379,342,509,877,135,760,102,853,562,258,228,311,273,280,267,
407,897,268,201,935,062,027,301,825,410,784,857,299,195,165,110,220,903,557,
114,882,859,801,070,985,912,585,749,087,956,241,413,317,891,622,156,226,767,
281,041,594,277,241,116,093,966,130,446,203,955,520,573,768,052,538,066,721,
942,778,268,418,716,501,293,371,751,390,612,824,590,900,662,300,460,310,463,
320,235,557,857,823,231,557,704,237,761,473,843,020,996,768,130,063,313,115,
225,638,710,987,492,110,453,725,331,935,917,292,723,677,723,482,138,232,111,
619,490,109,360,743,363,264,644,680,224,546,326,791,434,238,555,906,708,465,
003,248,324,248,104,375,502,707,349,924,194,810,102,229,807,191,245,466,229,
395,814,969,936,309,291,768,976,105,675,868,744,609,178,359,501,616,532,527,
703,646,379,524,768,990,542,077,117,972,732,014,461,259,841,486,176,165,138,
285,257,901,021,482,638,990,269,993,099,375,743,961,913,642,537,565,592,612,
623,144,779,960,204,917,944,774,629,912,520,529,801,624,668,950,461,325,558,
568,428,631,838,249,718,547,010,318,670,367,949,427,861,002,458,448,815,035,
348,363,245,257,651,758,449,812,972,920,624,509,566,488,778,326,673,341,612,
734,237,273,715,348,268,271,047,528,204,617,120,965,098,565,315,625,746,643,
790,061,819,242,185,921,251,249,078,968,877,824,277,865,592,694,332,690,323,
688,266,287,252,633,685,347,631,931,549,036,198,012,803,326,700,313,234,296,
764,359,988,278,144,567,463,832,887,336,589,342,920,062,840,931,744,142,621,
133,167,478,885,993,897,405,558,821,676,694,353,682,551,590,155,823,287,560,
314,139,630,203,387,034,311,323,653,564,727,375,800,458,232,913,864,513,434,
721,471,383,288,553,465,176,720,206,860,160,101,337,781,216,678,446,506,713,
355,447,010,465,224,735,266,064,103,841,128,656,772,172,641,033,539,408,300,
877,263,761,843,502,457,777,469,227,489,945,920,987,674,348,164,783,657,602,
982,182,058,995,835,181,786,578,238,652,257,859,196,448,740,022,180,555,508,
283,130,825,199,121,194,655,116,943,600,422,661,295,243,675,732,467,040,722,
077,712,262,610,452,293,661,814,707,419,961,844,665,807,260,609,334,672,698,
544,914,794,687,748,173,941,165,133,609,073,892,951,500,399,694,444,623,111,
778,932,879,426,641,725,473,352,669,542,668,635,660,657,063,733,986,929,844,
616,984,656,346,334,273,118,340,366,661,212,322,281,314,634,075,021,101,891,
448,957,009,297,716,432,764,206,007,538,336,135,729,138,891,525,386,897,308,
532,356,529,912,609,049,976,583,136,509,704,108,322,425,368,903,840,185,554,
791,098,930,052,657,729,753,534,655,202,388,509,958,014,606,351,003,086,732,
273,679,869,232,400,285,649,813,125,053,715,696,302,340,854,155,816,162,797,
408,007,028,539,130,498,371,950,230,676,843,617,408,931,556,990,542,162,441,
081,410,306,348,518,548,143,798,651,999,804,946,543,954,539,693,388,115,676,
176,737,570,560,964,519,390,046,546,078,142,565,584,500,326,547,277,144,429,
497,881,896,445,061,910,752,086,008,596,605,140,562,551,999,757,458,994,765,
673,264,168,775,839,232,630,641,824,507,383,120,787,213,478,847,735,074,119,
053,429,198,180,833,338,913,292,074,243,450,750,306,181,167,635,650,776,169,
006,658,338,731,510,885,268,342,475,379,060,056,904,382,542,119,552,037,992,
023,932,735,120,026,842,793,541,640,422,373,006,597,814,050,855,065,158,731,
503,623,062,560,670,599,570,743,617,709,034,716,974,263,159,899,109,733,034,
520,599,895,606,730,831,612,106,287,196,796,346,837,578,118,084,150,419,910,
098,368,968,728,644,013,152,985,107,341,828,415,796,650,530,374,790,159,475,
678,399,285,044,548,212,339,374,916,177,851,207,009,209,954,087,324,638,772,
577,987,494,527,034,820,326,483,557,579,725,499,104,600,049,918,187,431,505,
792,707,074,158,692,217,941,973,300,037,260,943,537,225,596,850,318,879,369,
276,672,197,306,559,117,962,677,250,248,517,036,335,729,366,485,725,345,124,
488,032,643,477,727,659,714,174,031,616,284,200,281,225,057,741,916,351,812,
368,484,152,277,145,204,230,364,507,045,163,129,086,529,264,211,842,487,450,
070,930,126,144,323,868,285,572,667,075,346,893,552,341,902,732,366,284,895,
519,604,924,443,833,142,144,169,323,921,945,472,834,486,512,644,884,070,711,
190,085,002,856,018,664,165,265,375,205,785,899,557,368,744,156,970,553,867,
366,904,324,342,519,381,957,648,911,934,679,082,017,989,785,411,750,292,412,
473,446,668,572,812,847,580,899,992,156,549,197,335,612,086,855,371,548,126,
552,617,314,322,609,971,712,741,087,367,637,863,162,643,222,228,229,317,491,
794,751,601,674,403,721,836,314,107,105,204,726,308,700,719,134,997,823,786,
939,420,214,528,849,164,749,634,294,038,892,384,370,541,133,973,899,999,243,
885,906,556,057,259,525,541,164,165,535,598,655,108,188,010,823,506,770,941,
496,371,847,944,938,517,728,608,050,943,483,493,184,877,388,249,084,543,388,
663,830,149,686,011,823,623,302,109,714,938,062,149,755,876,801,563,102,125,
938,513,930,425,067,873,175,265,904,880,100,310,596,876,226,889,713,135,482,
754,926,522,779,338,158,875,632,252,805,039,447,593,062,036,748,791,740,537,
645,022,714,508,808,778,568,631,132,691,681,961,947,912,053,694,571,031,724,
793,858,687,501,180,067,117,348,762,237,347,430,274,363,046,356,720,169,369,
281,632,090,078,188,437,989,017,323,591,148,953,923,430,452,786,628,567,556,
981,159,033,729,760,513,797,011,704,238,567,595,117,883,310,952,541,229,699,
033,370,178,948,119,789,350,390,744,668,609,598,798,365,678,612,230,059,665,
231,521,312,149,394,860,173,921,166,306,231,559,510,937,975,691,029,555,160,
587,067,845,187,479,793,615,700,120,218,545,149,072,305,036,592,068,391,788,
010,084,423,727,297,101,036,004,426,849,587,499,328,017,300,752,447,654,624,
371,021,631,745,910,854,623,074,505,221,322,574,225,856,891,907,073,990,829,
395,740,098,262,230,611,978,301,525,101,636,283,116,581,816,880,981,922,126,
456,279,449,966,568,365,150,545,829,122,785,333,644,599,214,706,141,346,841,
250,943,244,660,154,857,734,985,370,428,810,005,716,722,114,721,059,973,544,
835,624,195,611,418,283,670,822,572,883,230,038,493,704,448,904,662,087,700,
851,673,973,830,861,457,931,757,973,791,961,155,000,851,663,415,188,448,214,
289,716,154,552,588,504,432,753,966,839,305,192,238,944,040,908,570,999,863,
327,128,302,161,629,958,026,203,393,417,572,178,459,117,164,739,440,172,226,
413,999,511,661,843,836,301,221,937,321,473,566,435,725,398,685,971,777,753,
141,893,503,679,822,403,727,748,990,702,415,374,713,056,749,283,655,685,621,
932,523,996,748,983,331,510,295,418,515,361,076,763,029,051,661,063,993,567,
913,084,021,182,164,689,997,971,969,865,676,893,078,843,871,460,103,016,784,
591,694,020,341,134,286,323,746,847,321,995,581,393,220,985,573,481,881,050,
819,266,370,812,856,384,531,131,743,357,921,239,768,917,045,000,125,463,444,
095,518,814,859,635,048,875,431,899,163,843,090,043,236,689,928,393,422,967,
841,816,237,807,752,711,325,007,149,405,348,564,247,122,781,792,809,488,547,
038,195,147,449,264,663,546,404,064,279,032,466,973,273,258,385,420,287,251,
228,656,795,479,496,316,582,949,922,955,366,267,102,378,875,691,627,842,542,
372,866,913,316,679,694,480,269,298,124,214,766,139,606,501,019,631,469,981,
751,940,686,757,016,120,493,896,673,333,402,699,904,814,626,029,247,079,215,
711,402,704,277,614,841,142,255,304,096,738,625,470,452,376,536,958,860,375,
184,629,388,982,139,800,661,444,832,695,518,030,476,300,403,417,922,565,990,
649,681,943,886,423,360,972,933,838,259,558,165,538,972,503,839,138,186,760,
045,670,109,584,159,656,103,813,440,900,939,918,461,778,703,684,555,535,291,
003,650,774,683,353,616,624,399,484,734,823,871,341,602,185,232,034,410,725,
935,942,850,036,270,045,827,785,349,788,890,480,719,518,904,398,354,203,886,
801,972,506,551,289,120,068,488,123,376,690,499,194,624,757,064,313,371,487,
891,297,529,917,066,773,550,814,509,546,340,118,766,174,906,119,639,101,586,
231,096,464,221,471,326,590,337,918,115,193,344,838,230,947,844,752,687,180,
223,325,597,138,570,584,405,573,759,231,218,010,664,505,825,045,451,543,051,
472,906,538,295,448,007,775,754,966,943,101,877,137,474,940,739,093,939,375,
506,945,156,405,039,691,051,201,845,539,873,485,799,897,201,631,796,679,811,
297,626,297,010,604,986,101,773,383,927,035,947,599,875,413,625,077,760,825,
232,238,150,920,696,677,823,505,907,247,022,364,004,364,247,287,866,539,300,
926,049,566,693,057,222,585,373,134,369,834,722,898,485,633,921,427,649,887,
458,083,238,132,407,026,872,288,541,252,270,159,919,194,958,526,786,611,794,
706,091,430,217,221,948,493,478,562,522,477,358,486,450,930,047,717,008,810,
906,464,312,685,243,363,684,080,190,431,955,511,317,004,292,565,695,208,192,
055,526,717,296,448,783,099,229,972,931,749,018,267,142,720,017,203,752,120,
936,444,635,419,415,215,625,591,626,120,855,167,676,091,331,831,812,638,804,
463,919,542,403,325,003,892,427,336,854,206,111,187,747,768,449,234,043,305,
016,001,942,997,832,830,803,985,586,462,968,689,588,893,105,357,860,903,861,
715,001,810,377,559,841,027,481,688,843,701,603,844,665,182,291,007,965,920,
675,160,775,295,397,318,837,684,787,388,983,283,813,566,626,677,926,638,763,
721,103,628,013,735,380,505,318,959,669,187,832,713,230,683,535,374,207,732,
340,696,535,543,375,586,522,849,619,355,494,835,777,232,363,036,339,886,809,
648,448,763,649,985,797,406,080,115,129,770,848,473,104,598,052,659,599,074,
540,754,799,451,016,085,509,474,610,489,980,452,063,622,261,545,951,179,719,
958,347,357,812,809,058,013,522,423,130,628,714,620,094,995,767,268,646,266,
666,609,384,774,824,507,073,937,367,176,090,323,230,022,247,913,777,263,547,
245,484,315,406,412,496,421,305,839,075,561,742,562,605,029,904,860,776,949,
381,470,038,974,333,720,571,061,951,886,047,242,187,982,732,231,817,515,491,
371,480,973,529,389,431,368,380,749,172,830,976,604,524,244,997,622,009,485,
425,570,074,209,716,024,432,404,496,997,562,499,155,258,813,970,042,355,098,
141,621,206,396,107,731,512,064,971,633,513,738,776,405,349,827,905,770,007,
836,573,073,250,293,630,698,645,299,556,626,386,757,646,578,365,071,148,979,
660,619,860,000,833,459,416,211,009,993,871,882,266,843,280,310,665,891,985,
495,261,351,845,311,395,006,268,810,032,618,657,385,992,215,709,165,985,636,
064,981,550,042,978,303,430,025,059,556,828,849,872,965,908,178,301,652,063,
671,870,288,413,033,454,080,222,940,917,719,746,808,307,374,044,391,011,096,
647,177,661,616,495,480,536,103,995,440,683,480,503,067,931,172,252,363,497,
802,089,945,912,796,545,876,187,989,620,221,186,780,459,958,128,708,911,863,
772,235,947,650,089,669,286,465,831,287,195,411,274,144,515,708,611,437,954,
684,779,801,853,199,898,296,462,536,268,331,013,908,049,757,693,555,745,039,
280,181,741,960,487,395,888,190,905,309,682,522,035,474,813,140,148,076,022,
526,876,619,470,823,104,029,247,271,479,783,294,207,139,838,132,310,919,600,
698,394,731,311,548,526,370,575,724,936,919,776,510,244,343,923,671,826,567,
932,600,144,074,153,455,256,147,956,598,859,120,060,171,742,105,159,848,989,
035,493,625,212,278,926,363,234,858,830,130,257,241,640,710,429,648,091,266,
564,472,972,124,047,031,411,458,758,465,987,434,032,733,306,440,372,083,181,
289,990,960,999,319,955,932,343,918,413,585,094,842,722,070,761,034,718,395,
983,023,038,063,186,365,220,111,877,289,350,888,868,541,734,033,696,945,089,
233,236,132,180,642,291,296,162,738,324,091,335,335,319,080,156,193,774,321,
821,804,825,997,397,976,654,985,639,809,097,222,914,784,710,643,403,294,504,
842,016,222,683,315,191,689,500,034,884,227,678,702,641,853,095,102,209,243,
972,158,709,201,832,822,707,056,979,215,217,466,504,733,808,395,943,571,805,
268,544,971,173,946,625,356,760,080,170,324,179,455,268,092,404,071,747,372,
937,485,903,510,399,858,513,422,381,932,424,931,653,112,757,135,894,865,938,
290,132,509,431,645,447,180,225,723,818,699,275,052,103,116,848,310,031,774,
968,904,484,643,314,505,338,827,041,405,751,748,728,829,317,512,247,943,116,
690,951,196,197,481,249,062,704,099,735,047,120,974,002,527,814,677,782,210,
202,649,002,805,360,575,967,821,263,492,232,940,998,779,827,348,695,835,531,
057,274,355,122,410,548,965,606,145,864,788,665,088,932,103,728,397,541,040,
019,153,751,914,384,195,674,931,898,442,683,354,496,802,666,130,666,448,668,
385,997,284,741,668,302,504,831,914,981,771,947,367,027,608,423,900,662,020,
147,481,272,130,402,239,810,462,548,707,358,862,158,838,768,936,998,954,196,
601,088,807,332,769,184,277,149,306,431,287,191,105,590,554,527,866,719,774,
430,213,231,582,219,682,498,381,704,100,461,164,294,381,404,022,945,849,137,
406,682,934,020,997,487,675,648,482,447,302,524,548,827,230,401,295,250,065,
352,227,803,404,264,745,470,166,690,770,638,391,545,978,224,287,025,549,871,
904,056,031,432,038,709,034,936,022,255,174,765,753,984,004,325,381,436,061,
930,650,544,655,864,938,492,242,882,315,887,733,098,695,987,272,019,896,037,
611,923,498,091,139,354,147,011,954,819,029,838,278,099,393,894,291,521,726,
838,344,664,056,141,284,991,322,229,238,477,253,408,136,414,285,232,901,370,
143,092,618,628,825,612,806,024,345,198,815,310,792,046,177,383,610,309,267,
824,593,558,567,261,668,956,377,338,655,227,427,354,434,407,369,368,478,826,
217,235,060,009,372,408,431,228,527,592,483,862,519,029,807,854,724,271,684,
822,976,510,785,906,052,565,768,698,519,164,899,068,297,570,841,560,240,336,
916,131,577,962,379,510,062,452,380,335,925,603,815,970,906,566,824,902,086,
699,532,882,521,091,327,511,043,842,457,443,392,670,401,067,428,348,668,231,
745,414,462,893,130,662,769,609,713,517,305,639,112,086,876,806,733,294,921,
252,329,639,020,398,744,876,758,161,945,584,277,604,774,910,912,789,148,052,
987,788,402,672,008,171,236,739,486,277,555,651,098,943,353,624,532,647,298,
221,584,177,927,072,462,795,092,619,132,553,206,821,123,415,073,014,906,810,
524,474,141,224,045,848,694,255,125,141,333,057,641,781,917,809,080,751,690,
721,362,284,622,560,493,721,682,998,633,136,697,179,665,086,234,150,602,940,
955,718,455,406,684,623,602,488,057,255,440,815,829,435,175,598,492,709,822,
311,404,916,400,659,978,697,771,213,880,841,067,592,823,401,128,764,614,139,
935,527,173,284,226,682,135,189,641,853,680,769,259,923,938,095,206,801,550,
076,011,294,752,925,785,178,643,787,681,443,897,156,079,769,544,147,256,057,
675,788,875,372,939,945,433,034,101,512,595,379,746,561,651,705,235,425,170,
020,074,071,150,084,411,413,820,077,182,217,191,114,288,108,486,989,092,638,
315,505,808,343,296,551,303,138,607,667,926,393,802,420,999,069,661,857,622,
408,686,204,606,123,792,816,411,262,485,397,133,853,951,750,070,031,387,784,
863,492,993,982,917,440,168,741,843,923,991,662,886,352,230,986,543,139,408,
826,628,707,713,800,836,323,026,320,744,722,529,193,123,714,244,670,050,262,
374,474,407,152,727,044,300,455,418,073,827,842,635,317,324,175,957,110,899,
723,352,936,552,659,291,337,309,469,173,727,625,975,466,700,150,937,733,453,
602,415,931,429,280,332,707,821,512,560,545,685,643,548,935,093,548,218,978,
431,973,288,401,744,161,318,539,203,591,233,956,693,583,815,384,902,251,321,
954,370,089,902,853,451,060,127,072,498,095,294,011,320,174,866,242,803,911,
372,532,513,968,367,744,568,358,984,556,853,159,326,493,172,827,185,143,192,
828,891,337,761,796,166,157,096,409,125,085,504,048,763,901,694,873,596,385,
997,261,846,872,758,236,344,788,545,565,258,917,985,487,929,860,805,973,468,
054,102,325,344,753,838,813,502,934,482,674,677,162,209,205,626,778,843,838,
313,870,305,863,292,520,308,091,435,406,135,321,965,310,584,341,399,863,723,
767,031,080,607,131,374,748,648,918,151,257,229,427,037,805,954,022,694,178,
551,479,989,562,597,065,714,922,144,676,847,212,691,188,191,616,125,898,175,
604,680,226,585,235,779,466,381,104,474,816,521,086,622,899,279,296,918,988,
983,251,226,238,150,760,560,919,386,660,326,058,755,790,932,111,207,313,312,
000,740,906,651,347,272,911,219,030,170,555,150,438,245,223,336,139,763,778,
427,412,418,722,497,521,166,053,301,228,773,123,412,466,454,601,210,264,590,
847,316,346,411,058,226,290,314,215,675,472,489,639,550,544,719,972,085,892,
865,818,579,187,314,006,122,768,386,392,885,652,821,282,483,353,255,567,223,
855,709,918,738,282,150,694,407,305,770,895,889,712,146,193,623,506,739,085,
761,292,081,914,811,660,553,748,748,957,138,828,838,877,377,128,946,789,698,
047,429,207,808,532,295,659,708,109,005,015,503,580,898,597,929,285,004,237,
437,819,228,293,902,942,123,119,794,641,264,438,394,769,427,059,735,334,944,
873,853,171,732,193,932,454,386,047,612,680,429,528,733,526,295,196,627,813,
771,862,967,624,795,370,594,998,907,742,283,117,833,108,734,859,070,930,450,
469,285,950,870,915,352,654,671,363,289,074,901,408,144,248,074,572,052,988,
513,983,030,343,594,943,243,732,301,971,553,576,459,541,354,177,947,030,014,
739,965,814,853,703,736,064,023,003,018,475,939,747,402,604,660,574,978,918,
473,281,221,653,875,209,868,028,218,885,275,215,194,132,467,968,100,870,015,
229,844,399,072,899,287,325,690,141,210,223,665,389,962,863,104,019,035,488,
265,485,023,703,130,023,461,466,060,081,254,918,488,025,760,404,091,510,770,
827,970,497,517,071,265,200,345,820,215,233,553,056,355,595,758,391,785,355,
835,919,687,638,259,867,343,330,976,418,165,363,206,905,803,583,749,924,914,
401,546,989,033,850,399,893,087,007,282,525,223,464,394,676,208,892,669,792,
614,970,529,990,793,193,418,880,907,899,767,031,911,491,365,345,244,358,408,
054,508,823,228,914,340,998,934,244,080,020,063,233,297,255,930,439,943,492,
279,703,328,967,372,848,765,861,263,935,225,829,881,194,553,908,812,022,083,
665,555,833,596,610,171,933,278,121,207,232,062,994,713,215,282,646,272,841,
384,883,035,804,011,258,230,009,145,495,972,019,916,991,280,041,750,149,194,
557,611,117,303,442,322,912,878,732,218,246,491,783,655,857,463,698,130,485,
782,098,286,537,986,703,965,996,904,845,291,776,959,838,264,169,115,070,720,
790,114,586,202,311,779,940,125,947,497,158,874,503,927,140,657,629,160,041,
740,942,340,346,276,020,040,665,831,393,017,338,091,359,072,229,351,151,325,
417,081,342,176,879,669,625,898,300,207,750,722,848,884,883,882,757,087,554,
337,094,558,602,750,970,550,617,854,178,659,193,575,063,635,193,222,334,471,
060,237,030,637,228,433,766,264,670,654,430,632,230,176,757,731,510,808,079,
617,261,063,662,819,596,959,381,228,977,330,114,656,749,360,715,231,331,669,
088,605,735,447,523,581,709,949,718,214,535,838,630,740,731,036,405,134,149,
743,858,974,729,629,817,422,894,575,504,946,957,800,346,585,149,943,249,218,
830,818,874,467,038,582,836,429,409,125,658,026,774,667,395,878,682,240,476,
230,819,579,834,685,040,214,340,609,770,178,727,526,234,341,600,678,859,041,
971,303,452,867,122,177,759,178,748,299,341,507,467,415,940,521,486,465,972,
378,325,014,653,385,135,843,652,001,227,368,442,059,772,256,817,974,528,122,
295,341,297,380,848,666,078,369,769,498,317,508,381,753,247,097,054,863,617,
416,892,214,180,007,873,744,589,313,945,995,516,133,193,025,306,203,334,692,
784,333,848,570,833,987,248,520,277,029,340,408,344,686,163,038,348,982,120,
905,460,368,048,097,707,698,661,504,427,218,792,531,034,637,913,425,742,272,
730,259,844,397,388,880,261,860,368,878,729,052,991,980,011,080,672,366,070,
757,862,343,612,174,066,021,268,230,918,154,328,601,533,298,631,681,854,093,
162,388,582,707,140,371,557,155,759,069,694,283,769,873,607,095,515,745,691,
780,388,926,309,981,356,664,428,135,470,803,867,337,527,238,947,993,103,328,
048,528,293,490,103,415,412,234,805,065,450,072,363,536,972,047,254,386,916,
542,923,955,047,097,035,769,637,491,805,816,078,462,393,405,601,045,977,255,
586,564,844,816,437,058,992,663,283,496,855,969,170,165,455,391,248,937,349,
333,195,683,689,254,788,919,646,922,422,036,550,427,652,981,867,859,491,994,
382,751,465,294,198,519,310,550,262,324,333,210,374,792,168,061,733,587,601,
442,073,321,524,963,458,393,633,678,562,638,388,120,610,792,479,006,986,928,
411,169,293,589,495,168,888,020,809,932,805,155,151,502,563,892,548,503,077,
422,892,287,380,788,005,540,048,036,950,109,773,025,078,408,377,274,620,242,
481,386,325,717,242,254,517,284,744,398,152,686,917,792,944,001,800,066,530,
503,757,509,862,979,655,153,450,085,532,530,028,933,396,458,053,462,533,019,
479,462,754,501,176,145,277,516,167,434,774,905,069,933,886,163,747,613,347,
689,825,834,110,668,263,992,409,946,990,212,158,451,452,961,834,755,867,468,
175,687,170,664,858,687,064,451,493,672,196,268,318,816,171,954,615,432,828,
538,063,022,632,523,174,477,533,790,182,382,196,876,881,944,046,363,721,031,
117,662,912,790,180,048,969,148,604,500,359,556,815,217,485,248,585,714,447,
943,454,459,084,657,649,121,920,939,430,840,163,335,394,932,368,413,943,911,
117,578,696,038,015,678,354,014,527,693,541,344,261,194,209,086,626,211,067,
614,242,441,743,138,643,742,900,903,678,442,264,217,399,369,093,537,736,149,
998,184,569,868,527,147,840,408,176,238,942,947,913,678,525,734,679,006,841,
429,680,903,071,549,356,170,027,678,220,323,148,151,033,590,266,715,640,170,
681,084,074,678,697,583,869,085,117,518,244,739,939,204,022,179,703,014,608,
179,285,993,964,413,861,066,495,237,662,014,779,394,081,757,901,367,768,284,
900,837,124,471,646,666,612,413,439,707,503,276,770,800,710,315,537,087,025,
349,867,638,892,310,330,371,782,805,087,932,694,609,003,053,225,059,620,943,
525,495,531,975,159,425,679,127,421,911,966,134,489,012,322,422,773,207,695,
666,993,764,032,839,392,273,948,121,693,343,232,391,876,260,392,472,194,813,
465,516,180,595,834,994,242,640,117,255,177,489,735,933,612,539,968,082,830,
701,937,424,093,168,513,977,044,671,622,927,865,735,385,919,573,754,083,990,
999,454,984,297,872,854,533,657,002,579,221,244,011,612,213,321,652,788,215,
380,922,930,272,190,115,516,826,425,780,228,315,121,532,931,023,621,579,806,
921,101,603,362,971,434,762,710,956,994,841,137,449,756,724,943,658,823,060,
211,609,817,561,387,300,407,089,474,677,742,403,255,739,239,467,168,944,281,
409,018,190,477,739,679,889,447,820,505,511,838,255,682,565,768,713,889,889,
735,924,108,686,441,324,332,748,967,653,434,050,871,894,733,886,800,369,977,
552,188,272,543,836,564,495,243,418,228,910,554,930,096,924,493,394,476,315,
470,500,675,200,603,507,646,966,086,328,878,150,282,705,712,952,076,279,252,
007,668,493,924,944,028,284,189,011,558,330,315,546,665,673,374,187,874,716,
668,896,847,000,972,074,430,678,590,802,445,627,380,685,180,974,986,719,030,
594,942,886,681,676,962,052,684,290,419,895,682,098,481,278,951,317,947,897,
986,094,684,174,745,991,400,060,879,985,368,806,932,594,389,029,518,135,259,
987,779,603,196,363,846,365,109,030,071,276,388,116,382,167,373,184,399,398,
374,452,590,573,481,074,064,043,030,895,023,884,883,014,091,188,289,941,145,
019,120,333,758,886,540,101,408,087,394,672,089,705,940,285,633,580,053,471,
102,033,977,189,735,349,580,098,529,502,236,793,261,522,894,770,503,979,569,
220,492,685,390,995,309,537,769,825,850,220,818,224,690,761,904,134,364,310,
853,228,324,709,172,785,537,736,787,889,285,093,536,082,788,253,612,404,070,
957,004,832,413,971,016,509,953,865,691,667,510,186,194,691,648,866,806,513,
840,625,541,809,898,282,073,639,537,919,207,148,200,214,937,748,911,382,873,
656,896,631,636,009,742,637,612,990,515,084,617,712,293,758,676,244,509,493,
087,676,266,165,885,574,400,058,320,579,313,582,742,473,776,408,684,327,056,
702,040,802,058,794,785,601,225,012,155,018,847,557,718,317,586,485,242,352,
682,041,997,412,972,497,389,204,425,361,372,310,105,138,606,196,608,816,552,
684,889,904,953,040,405,723,786,254,373,703,908,491,636,203,968,341,551,796,
342,527,620,242,582,255,770,120,593,855,001,232,668,468,267,435,640,999,957,
089,239,778,985,263,640,050,740,797,273,916,344,283,268,241,182,025,120,279,
764,694,918,300,571,606,464,187,423,026,157,569,942,248,038,453,866,180,631,
879,392,454,888,693,531,148,015,957,424,729,852,215,262,151,500,826,687,763,
559,698,084,370,888,855,112,450,713,461,923,287,036,377,675,147,771,653,778,
366,452,338,959,758,299,350,377,448,690,819,336,524,622,428,069,932,720,985,
951,235,142,920,292,623,157,315,833,938,387,769,654,493,272,679,652,376,735,
337,043,097,635,972,377,564,507,022,336,472,506,658,722,222,613,066,099,414,
451,108,833,799,454,413,442,317,590,911,938,906,465,373,664,088,437,629,614,
310,057,711,630,502,209,242,629,611,092,409,950,301,227,256,563,837,888,956,
664,789,214,171,900,731,660,872,280,879,358,800,904,089,148,024,945,546,650,
952,823,937,085,841,440,227,329,461,094,950,110,895,940,521,635,966,557,393,
259,849,012,344,618,235,367,336,695,748,197,681,805,598,882,045,771,335,604,
641,764,527,558,963,178,502,144,076,797,492,436,009,718,373,599,207,908,317,
835,494,504,691,976,661,880,280,434,875,133,040,586,016,091,602,759,689,010,
074,390,785,093,959,971,025,747,513,534,664,101,483,221,974,786,161,769,411,
828,360,263,776,240,683,557,103,124,212,374,932,838,453,589,283,478,351,219,
865,398,748,344,653,405,671,093,970,571,070,163,195,656,745,367,093,545,545,
251,593,323,897,852,452,628,514,989,347,176,052,677,275,762,381,133,320,398,
740,992,785,019,886,327,886,067,020,468,202,447,796,813,876,887,883,007,910,
266,178,227,599,663,292,055,407,642,038,596,128,616,344,550,200,945,143,391,
844,723,813,635,603,041,218,464,066,677,703,928,809,308,440,885,736,926,230,
163,349,692,565,263,444,153,858,140,409,693,381,031,010,488,954,143,954,411,
668,758,681,760,767,884,393,115,950,780,315,608,256,090,222,720,411,329,934,
065,434,920,913,583,640,939,430,650,550,777,118,677,832,814,669,353,072,806,
543,383,223,953,403,319,463,167,198,546,386,875,996,196,061,423,207,548,456,
968,602,102,826,427,792,838,907,569,029,263,127,718,325,559,501,241,722,833,
016,026,046,394,192,849,644,939,854,230,678,147,035,387,218,347,643,439,149,
125,836,974,964,863,660,374,373,486,262,624,469,626,537,458,862,494,058,706,
894,364,791,652,413,794,231,646,279,657,841,780,192,451,923,789,108,208,768,
736,242,364,425,244,441,294,715,851,480,134,629,569,079,296,161,431,174,637,
498,324,202,926,235,892,109,784,989,372,699,658,781,288,126,492,947,040,413,
951,576,467,058,395,548,346,855,199,300,614,718,554,838,045,660,089,913,206,
218,817,964,220,282,759,563,019,212,602,056,342,075,986,778,174,988,056,972,
849,213,263,654,336,161,708,297,227,677,596,981,790,789,269,328,102,649,499,
344,339,613,093,450,964,523,097,279,439,394,952,724,643,075,009,323,445,238,
132,763,826,768,250,642,606,925,261,830,536,716,946,020,275,382,793,320,536,
353,390,307,299,034,918,516,818,745,680,087,821,219,773,466,537,660,084,984,
708,726,581,122,089,420,127,170,674,707,754,553,014,926,966,132,721,385,193,
457,791,509,535,458,944,906,563,894,284,545,657,059,676,042,312,294,941,758,
217,539,697,038,553,542,658,290,941,324,256,322,893,215,317,861,257,123,458,
486,697,533,564,321,889,693,864,071,107,982,670,879,137,803,550,271,257,653,
015,873,762,605,868,389,845,094,525,041,859,085,863,233,276,119,477,964,325,
537,805,243,820,251,208,157,863,554,539,048,359,380,423,576,250,954,292,045,
831,801,507,617,067,933,482,684,865,175,879,555,525,587,858,315,928,334,069,
031,130,702,826,698,052,788,053,125,519,690,538,733,008,905,114,262,492,295,
539,263,797,987,634,245,090,883,308,958,964,164,170,810,079,603,136,962,207,
311,898,798,770,794,256,773,801,135,783,993,292,706,834,006,802,621,106,188,
501,192,781,848,723,501,424,585,384,971,353,060,543,396,235,351,366,983,086,
277,972,091,318,095,642,640,242,483,676,438,175,085,053,237,415,439,608,949,
643,376,403,104,668,881,830,520,770,432,160,511,544,125,898,261,538,375,910,
895,127,507,704,126,320,391,718,869,660,233,101,386,751,951,771,004,786,830,
251,088,582,308,343,477,631,324,392,476,167,575,573,132,536,403,971,078,464,
530,827,288,726,035,871,520,747,514,278,066,290,922,126,677,276,939,830,240,
423,743,787,408,468,425,492,148,691,406,475,759,293,186,001,957,422,676,283,
698,143,137,636,288,874,836,064,161,180,353,641,280,256,360,965,358,634,673,
676,693,449,027,701,751,159,119,576,252,703,089,253,636,712,276,460,188,920,
119,254,645,900,824,891,660,660,791,288,290,329,840,584,229,897,352,956,235,
556,225,298,674,581,951,812,823,791,217,861,715,897,928,437,627,426,944,674,
675,617,591,333,101,564,491,653,871,648,208,761,256,092,662,036,592,079,587,
378,774,035,796,454,819,593,536,730,055,368,861,060,009,782,784,784,292,241,
250,705,426,277,162,484,341,598,973,528,448,893,269,421,732,133,542,960,566,
049,811,183,286,976,313,508,858,634,147,843,536,392,321,938,840,023,980,460,
978,788,183,837,023,930,304,706,835,025,277,928,861,881,328,225,589,106,578,
839,071,991,713,382,572,939,905,450,940,115,494,560,207,864,326,855,362,861,
682,570,528,007,963,113,825,534,884,194,687,773,456,937,559,489,943,150,960,
593,582,821,906,907,609,874,448,399,515,611,297,202,248,852,076,702,321,458,
880,939,277,130,528,577,735,000,785,270,688,434,603,150,462,358,523,534,401,
949,163,410,623,738,719,634,623,823,602,770,699,228,294,633,988,561,058,372,
311,808,807,504,248,087,572,591,564,966,146,927,185,148,111,621,874,865,954,
004,551,811,255,018,912,085,561,905,697,336,780,374,731,548,762,029,920,201,
181,139,000,214,061,568,568,317,113,872,514,058,241,596,532,672,603,992,793,
654,807,017,586,860,486,732,933,973,737,389,368,651,971,181,241,861,310,164,
205,594,364,728,362,493,896,380,805,323,277,373,051,050,758,265,418,680,435,
733,343,727,111,340,990,630,034,522,103,152,773,403,607,114,418,742,897,024,
599,505,349,229,656,881,471,581,805,698,565,963,272,872,448,990,619,112,577,
373,484,967,301,129,572,223,150,407,361,668,326,217,443,774,780,174,934,648,
869,774,389,419,130,736,696,337,005,806,522,939,036,264,618,651,524,642,804,
338,781,855,472,066,362,492,799,820,342,730,628,308,759,888,788,206,370,171,
368,493,700,899,829,059,460,777,547,186,107,779,731,054,213,035,998,658,245,
714,054,324,846,798,760,649,431,760,320,442,417,123,835,109,957,742,147,525,
904,575,889,167,767,702,131,528,072,816,168,270,109,239,436,635,150,866,743,
021,390,654,903,124,566,772,229,285,315,203,465,636,775,813,697,284,870,827,
980,703,298,315,197,037,243,788,042,247,181,152,389,156,434,179,032,248,348,
856,473,725,101,439,723,811,155,063,092,405,288,917,963,994,091,557,375,070,
066,009,052,415,763,418,781,126,243,328,983,954,914,683,911,432,675,565,545,
560,740,333,709,455,362,361,464,940,717,621,183,343,442,184,668,114,308,047,
413,107,454,380,970,533,134,121,016,487,424,243,952,632,090,678,913,240,363,
439,794,730,621,896,288,397,382,264,816,460,013,542,253,128,094,973,159,980,
739,738,833,525,446,102,700,588,630,869,551,847,577,536,452,732,538,939,623,
426,723,955,575,968,140,858,520,319,119,185,999,103,874,188,645,935,410,176,
753,394,829,801,895,387,568,367,986,252,521,999,463,164,382,554,045,272,189,
750,015,699,200,553,480,278,175,927,154,762,397,227,395,712,298,872,087,526,
346,855,175,771,133,724,135,699,691,461,097,825,504,760,719,098,153,349,560,
409,305,964,971,120,526,342,617,880,611,205,665,077,875,999,959,062,299,655,
537,975,929,311,231,502,246,363,169,036,306,086,302,526,026,746,125,950,039,
384,105,670,074,423,503,414,751,943,351,037,366,307,290,340,301,159,130,967,
871,126,786,254,629,070,679,402,656,098,907,050,697,396,763,565,318,285,416,
737,912,611,158,979,126,206,351,978,309,980,664,873,501,359,529,947,557,082,
394,074,812,219,211,987,370,581,067,138,108,296,162,526,533,390,413,407,027,
550,837,516,168,711,272,370,640,783,957,986,883,933,193,601,402,928,547,108,
811,666,342,901,055,119,939,163,488,480,966,605,979,686,336,703,803,069,289,
599,682,773,916,979,343,823,138,468,716,373,747,752,031,897,552,286,077,331,
342,516,708,282,648,788,002,270,388,065,666,178,849,083,978,659,792,295,284,
597,418,968,616,329,136,639,577,562,830,512,014,378,419,637,230,497,464,904,
772,156,080,518,635,628,675,022,962,830,557,946,256,648,437,349,900,015,274,
003,552,020,500,145,842,215,293,752,193,915,973,543,873,112,856,138,768,519,
473,665,105,218,406,904,266,484,677,115,604,008,527,033,677,197,337,116,173,
764,210,225,398,076,552,957,051,366,701,618,615,860,203,724,200,917,905,559,
606,152,163,159,026,484,024,485,847,263,606,313,409,017,170,271,046,105,620,
517,734,174,707,648,085,592,151,816,677,980,516,027,516,521,484,758,568,739,
581,756,809,952,213,429,894,531,529,467,400,399,504,322,833,670,119,269,162,
274,224,880,181,444,536,990,999,673,638,455,481,184,730,536,608,217,167,596,
512,582,195,043,845,452,799,085,623,940,302,873,744,587,509,842,376,627,828,
231,177,540,770,873,720,241,343,030,653,825,628,072,767,765,797,947,494,726,
577,202,254,582,393,730,548,149,661,405,454,238,230,794,774,252,438,159,232,
620,790,804,790,985,831,737,205,903,441,725,568,377,676,672,507,143,916,865,
158,585,093,115,191,351,864,988,387,977,404,348,323,420,098,264,747,880,929,
777,259,567,839,664,955,778,963,603,535,436,224,970,650,646,377,189,750,606,
883,204,496,180,483,966,984,840,906,531,739,744,736,187,137,003,331,306,339,
665,089,901,546,044,359,017,757,730,023,305,733,014,660,191,454,851,785,526,
978,848,894,340,062,614,545,754,407,620,333,052,780,406,799,206,707,767,615,
497,763,295,042,367,687,037,725,388,423,588,501,223,079,770,068,948,827,371,
345,464,676,623,487,626,251,658,117,341,916,417,925,612,806,157,959,707,606,
741,423,083,555,950,182,012,469,718,796,730,557,408,024,260,187,483,047,150,
148,951,509,472,738,424,702,575,942,522,751,145,202,314,957,984,460,443,863,
346,957,197,717,183,608,074,264,833,773,602,721,825,100,756,848,784,412,512,
754,429,357,535,853,934,717,029,006,331,459,067,280,854,169,313,224,817,577,
510,154,162,926,074,028,654,308,426,623,562,812,777,355,790,976,911,391,517,
023,400,676,374,864,847,094,864,532,177,948,366,575,325,597,852,647,150,783,
152,664,224,112,084,517,222,997,821,574,179,206,296,619,122,209,977,265,107,
925,962,089,853,469,614,628,566,232,914,078,239,332,656,071,042,371,812,856,
583,889,687,136,930,545,942,780,299,298,111,453,723,119,082,326,075,369,197,
131,403,996,472,435,431,979,670,765,919,539,389,669,801,482,647,409,518,112,
992,702,491,524,163,953,987,603,518,124,891,168,596,551,443,213,603,327,194,
092,410,469,224,234,525,804,485,432,347,947,235,885,130,987,344,272,126,659,
040,571,790,905,251,633,889,649,127,688,422,460,885,798,212,400,402,329,508,
597,412,288,059,478,363,977,222,838,876,479,567,850,550,131,201,417,226,869,
377,908,140,622,219,392,864,941,638,590,908,655,513,090,341,885,857,219,794,
039,218,021,750,995,315,796,393,062,833,631,561,591,842,154,295,105,209,633,
890,011,227,567,211,301,455,067,034,227,646,633,853,524,681,001,636,958,047,
663,730,405,793,799,879,944,177,324,093,875,000,438,547,484,682,205,726,342,
844,343,222,023,899,959,097,710,991,962,611,791,817,534,012,557,166,703,315,
466,063,290,673,692,679,770,874,942,229,609,119,002,094,986,104,962,162,201,
906,765,486,575,119,259,254,279,330,279,665,317,762,981,666,443,227,503,457,
690,225,464,499,600,633,680,480,458,112,622,467,505,039,604,840,872,239,591,
460,884,221,524,939,533,504,539,137,526,776,551,255,637,384,648,405,156,712,
009,655,053,093,142,614,808,371,888,389,700,094,954,930,358,410,351,161,094,
727,574,527,076,090,025,561,087,908,982,349,302,719,907,008,652,991,471,695,
682,787,134,457,724,681,208,052,610,999,863,142,228,572,434,121,357,144,026,
546,216,158,575,986,490,198,740,664,544,841,255,757,303,853,217,940,936,220,
316,639,360,067,859,380,925,722,417,367,524,869,900,384,532,977,359,922,454,
645,219,583,814,150,281,570,530,707,711,146,435,016,073,588,064,094,837,135,
362,666,138,676,165,197,285,626,258,946,511,185,238,855,774,976,207,470,929,
913,947,621,335,436,895,046,122,875,336,575,984,287,789,313,518,034,088,520,
976,129,032,474,003,123,612,210,422,687,663,596,178,346,425,673,447,221,532,
841,396,428,744,878,896,938,169,414,832,511,206,421,790,047,251,471,450,400,
821,966,430,273,453,828,009,879,150,568,356,008,175,210,124,246,340,634,690,
532,958,231,816,297,826,440,633,995,337,921,102,637,193,360,895,923,145,928,
023,690,631,408,443,436,713,474,107,221,494,871,652,266,688,340,996,917,076,
507,952,942,713,100,253,795,523,966,082,676,072,324,037,726,576,686,327,636,
416,417,885,357,743,608,630,847,120,643,727,214,433,259,759,606,253,974,870,
547,783,738,168,604,154,387,523,035,506,878,066,428,936,941,874,423,341,470,
584,809,776,946,210,818,228,840,174,802,733,123,920,358,180,328,460,289,044,
231,665,429,401,159,868,023,294,744,398,774,529,383,092,232,113,491,431,284,
314,918,821,076,694,814,370,968,547,380,679,221,568,926,563,571,119,334,872,
907,160,916,184,828,630,188,551,596,662,030,221,268,597,842,577,763,840,983,
756,820,979,289,445,495,184,333,230,692,938,721,475,497,284,388,286,546,898,
417,854,676,692,165,464,047,410,702,250,288,301,152,305,994,568,666,274,728,
369,022,460,880,878,060,086,672,248,316,413,218,127,379,577,484,376,478,693,
002,692,462,604,048,380,029,375,767,512,649,610,703,614,911,832,764,180,012,
197,458,552,127,382,695,632,950,064,239,169,183,096,378,877,218,676,901,684,
730,684,242,584,251,183,731,265,716,650,513,955,553,882,071,618,742,598,787,
198,393,392,204,393,161,626,140,560,238,970,300,127,291,245,785,984,391,901,
997,442,334,782,438,498,034,852,902,934,272,984,545,182,594,078,585,831,415,
994,312,476,695,958,096,556,915,024,021,056,421,646,670,498,695,236,584,248,
073,083,717,679,184,054,275,722,104,824,556,506,586,080,258,948,297,731,921,
738,499,731,997,115,202,052,014,995,937,688,053,448,767,877,631,505,934,951,
387,294,867,192,134,312,282,897,835,386,653,810,158,436,799,988,787,985,063,
356,230,746,990,942,449,567,756,595,743,542,962,515,257,063,075,691,032,952,
588,031,436,611,500,560,986,056,394,165,504,005,223,539,576,647,040,638,194,
186,994,098,898,858,480,625,160,284,591,938,136,571,626,179,820,083,785,447,
094,892,077,926,064,182,487,154,184,718,974,706,121,699,245,529,543,270,361,
712,049,303,995,540,000,758,500,526,043,060,034,306,281,057,505,940,957,338,
673,819,475,226,699,308,503,140,907,941,721,942,106,020,261,806,484,228,553,
411,902,482,373,268,808,625,613,373,584,742,997,006,382,650,949,800,053,986,
485,662,891,643,120,852,310,211,699,202,288,717,849,341,777,467,091,277,943,
852,622,929,053,599,353,113,719,298,907,052,075,232,640,449,147,461,984,852,
111,753,694,060,737,396,047,621,555,515,717,319,459,479,728,693,537,184,185,
883,603,216,560,795,677,664,520,200,097,912,489,996,363,817,542,801,838,620,
233,269,766,479,475,246,093,834,241,419,610,199,873,524,001,223,815,826,569,
219,505,291,935,823,155,787,887,650,413,551,380,452,169,724,268,751,495,016,
788,748,994,902,753,319,280,939,320,260,803,407,619,618,218,215,034,337,482,
885,199,382,758,169,763,454,859,009,315,404,315,765,576,590,259,363,242,662,
592,296,829,045,865,672,580,017,488,371,141,269,465,087,391,223,801,664,490,
867,826,933,864,785,693,980,774,177,638,963,418,316,014,531,375,647,536,016,
478,129,382,063,876,818,432,150,388,729,743,979,379,220,903,745,049,978,371,
965,470,688,613,560,896,457,333,311,659,485,378,130,438,042,209,240,125,883,
086,145,347,526,681,110,152,095,888,650,988,158,205,001,732,195,112,099,571,
579,453,189,220,887,636,576,836,758,639,361,469,888,381,141,987,108,495,851,
645,631,546,787,557,562,056,771,695,012,654,404,909,214,484,006,326,325,210,
633,304,317,273,237,541,870,446,813,387,169,836,333,444,626,109,688,990,036,
574,889,406,330,397,307,100,316,279,175,454,342,893,435,924,843,725,500,922,
569,976,269,236,180,247,811,310,350,880,537,915,809,169,825,702,458,119,981,
428,526,019,074,484,115,707,543,189,572,383,736,729,121,077,231,488,273,744,
511,663,425,735,927,155,700,210,383,819,584,199,947,286,803,719,674,686,699,
482,783,209,724,314,320,925,744,084,745,842,603,983,271,059,521,620,888,789,
172,953,958,543,037,044,788,197,616,904,850,899,971,300,444,551,820,797,325,
834,622,715,576,666,071,659,305,202,505,292,687,000,711,197,713,064,453,012,
364,274,885,822,999,856,521,610,985,257,035,271,188,408,860,396,929,930,444,
324,939,822,053,390,463,511,096,814,104,859,577,543,276,262,284,536,932,352,
305,269,117,297,063,965,353,275,660,499,226,326,681,234,829,964,834,872,433,
411,419,948,497,658,497,622,292,646,331,696,060,727,532,252,600,253,062,674,
330,757,514,153,745,430,122,970,665,210,443,281,535,919,343,081,118,570,896,
307,147,361,707,214,792,268,327,049,157,500,981,209,102,112,963,056,058,666,
902,672,495,637,670,453,675,874,579,011,414,696,159,190,813,668,464,949,081,
163,077,015,417,532,257,353,737,271,216,674,663,024,612,730,053,721,733,985,
932,717,623,649,291,377,289,152,892,628,775,896,001,507,929,284,151,650,516,
404,721,337,968,772,847,099,711,146,171,328,818,937,259,912,299,023,818,316,
619,844,713,903,538,227,976,182,032,844,888,201,721,204,734,198,161,915,220,
079,692,278,933,064,071,609,433,828,336,681,624,050,030,872,391,568,874,619,
193,346,819,115,515,370,553,806,387,163,092,908,307,410,046,893,859,736,636,
737,143,973,920,763,396,628,479,894,631,451,145,082,172,396,718,901,479,172,
823,403,596,075,979,593,735,456,091,366,346,697,604,168,168,448,443,749,217,
177,728,305,113,691,569,153,455,133,037,318,518,741,868,826,770,095,116,877,
577,304,545,439,450,601,544,408,891,261,395,621,636,895,632,500,891,756,985,
920,628,528,643,885,157,354,115,845,580,827,873,491,436,564,957,174,404,307,
942,576,867,085,409,329,862,678,159,626,664,211,908,604,802,492,281,248,301,
139,567,925,005,098,258,437,379,021,739,831,553,899,928,691,934,397,575,495,
033,697,068,698,516,234,185,387,717,044,925,555,997,420,036,567,694,756,640,
634,933,937,628,093,805,796,024,455,610,335,355,406,434,734,242,921,076,153,
406,114,868,572,414,077,312,744,448,767,098,557,287,825,676,995,176,025,510,
199,247,763,799,403,116,319,459,635,370,408,116,498,035,460,516,140,700,080,
762,252,827,115,708,396,873,575,179,645,794,273,530,989,121,564,966,329,914,
765,220,519,131,387,378,676,410,454,016,074,351,535,031,694,927,934,568,041,
243,108,132,861,818,317,559,785,918,552,585,594,545,445,739,894,965,834,332,
141,126,133,201,364,495,607,138,989,065,583,813,322,032,692,779,604,571,295,
575,411,654,577,094,050,754,947,867,175,394,218,038,261,302,191,359,541,678,
153,290,433,976,381,024,695,608,534,446,849,604,679,382,521,807,791,659,375,
976,618,934,905,535,644,184,869,244,336,800,626,381,078,170,853,927,554,872,
115,284,114,969,763,489,849,333,038,088,796,414,511,855,020,092,694,523,953,
052,293,943,478,622,254,791,422,731,669,334,676,193,958,754,946,312,509,940,
000,620,025,963,411,504,369,588,798,618,925,622,536,532,627,285,173,035,007,
667,969,483,449,666,979,653,573,107,577,579,811,053,201,298,317,318,696,248,
468,768,899,585,245,452,761,441,465,713,214,887,003,545,676,061,772,656,882,
793,023,859,353,248,736,763,259,062,996,887,699,042,294,131,232,881,857,201,
913,893,354,901,876,396,873,218,080,198,530,261,613,310,596,493,400,325,755,
001,812,624,591,110,503,889,496,959,957,653,285,330,144,707,163,533,419,314,
464,468,988,517,389,158,091,967,419,671,565,919,915,533,982,668,324,204,549,
992,412,441,661,666,582,942,639,973,794,856,589,433,186,762,436,869,167,542,
433,802,355,395,970,086,273,868,140,866,096,089,870,877,083,524,718,938,735,
627,997,932,153,154,768,988,517,140,823,992,993,239,707,082,838,530,310,853,
654,124,529,892,672,054,570,533,873,125,897,377,187,870,859,314,168,295,197,
246,216,314,103,698,523,742,045,017,283,608,805,103,433,208,935,052,071,378,
713,036,095,463,597,441,722,286,147,009,631,299,613,441,012,803,811,426,345,
528,155,521,102,708,882,116,286,843,991,108,164,123,526,462,983,962,349,041,
068,182,832,640,659,255,967,499,570,115,023,162,060,319,378,417,878,212,403,
576,373,702,025,462,507,259,581,531,851,429,270,880,234,329,138,233,906,224,
783,820,928,218,747,813,775,953,890,675,611,926,910,017,565,303,069,831,293,
558,876,378,753,856,118,682,145,360,652,064,848,133,310,160,850,999,890,573,
088,122,245,170,566,060,145,151,961,442,164,040,766,233,458,553,977,372,208,
753,735,156,734,108,919,695,442,273,471,874,137,134,395,961,850,581,318,042,
491,755,337,814,900,637,270,871,005,278,426,288,085,370,160,965,914,615,287,
495,932,339,024,745,194,507,701,347,229,901,307,023,760,409,208,314,812,008,
718,812,838,516,462,078,732,808,843,391,282,842,805,332,560,053,547,612,701,
435,847,267,469,618,687,675,606,715,662,280,145,818,329,194,798,048,412,515,
910,989,086,540,819,567,538,046,423,560,967,392,352,083,852,434,229,234,783,
264,851,363,300,174,645,395,705,388,687,949,674,148,377,831,490,554,079,349,
380,322,720,877,086,442,797,018,096,777,381,261,286,409,772,541,653,157,053,
771,063,930,903,279,493,893,332,682,054,566,907,479,926,137,400,351,780,602,
425,593,282,938,841,687,417,622,757,157,198,075,713,518,752,703,351,890,645,
873,693,579,453,441,186,079,935,313,675,251,301,787,247,363,119,814,493,861,
796,923,737,983,947,912,670,383,405,264,673,056,295,083,558,314,597,485,027,
991,951,442,389,887,080,337,530,748,534,030,210,933,197,173,110,509,160,006,
609,202,656,384,396,588,321,667,513,642,904,013,664,676,773,169,870,618,923,
994,391,811,331,442,359,748,006,413,655,765,955,840,945,748,922,878,423,494,
929,460,474,887,639,098,729,498,164,581,284,396,870,166,627,428,191,301,235,
430,816,539,538,258,804,820,017,622,041,209,083,631,279,828,510,470,969,379,
175,439,089,469,230,027,679,168,548,613,276,782,420,030,354,839,095,833,505,
411,801,213,647,957,590,408,157,656,531,692,182,358,277,270,393,211,133,606,
607,633,266,800,768,641,437,202,065,076,249,340,645,671,368,847,028,199,049,
571,231,821,231,565,693,897,044,667,760,617,177,828,511,249,091,491,683,596,
024,715,272,644,979,215,409,596,205,075,080,807,059,990,383,668,113,231,770,
189,330,068,194,028,904,098,194,859,532,661,712,978,368,643,039,213,493,371,
539,531,201,233,538,771,899,041,243,768,780,678,810,338,495,556,601,292,216,
887,322,314,406,386,877,786,702,008,963,958,909,186,377,478,365,921,105,446,
191,613,595,099,344,862,548,566,518,102,865,496,024,124,675,181,414,984,118,
830,971,020,095,357,901,383,811,210,420,152,915,598,162,128,758,302,707,994,
700,106,516,316,742,891,526,249,610,083,924,623,337,712,364,188,681,759,678,
452,740,017,714,530,881,832,349,078,373,001,356,523,233,238,330,427,831,305,
574,625,293,542,222,022,008,056,602,237,672,345,116,303,103,437,017,713,824,
291,976,982,173,848,203,237,874,603,332,842,035,960,116,211,615,147,602,432,
708,368,122,207,206,883,030,654,526,906,056,623,860,923,033,288,858,450,996,
547,703,350,205,563,521,045,200,949,691,053,165,777,243,503,710,845,064,459,
225,213,801,126,432,380,177,218,871,957,866,211,742,861,020,940,922,885,807,
467,152,285,009,635,281,238,594,054,857,933,993,086,288,867,604,277,242,863,
177,172,009,217,030,476,579,468,092,010,555,808,551,046,777,979,867,071,103,
968,498,037,258,458,344,223,363,236,348,604,547,526,556,162,246,651,425,937,
572,648,482,518,126,391,409,122,075,939,485,285,778,310,362,568,179,607,809,
058,162,740,802,879,556,154,524,634,701,785,184,223,730,815,544,290,499,092,
417,215,911,591,941,685,614,087,660,171,536,189,245,543,819,822,240,191,922,
704,662,798,036,512,813,924,567,496,745,739,451,878,923,686,443,263,366,435,
530,992,500,896,946,004,349,638,351,213,978,775,414,734,622,584,755,732,636,
800,016,578,550,438,036,615,263,260,329,044,250,831,943,502,492,313,563,926,
706,377,667,222,221,174,769,171,542,986,028,957,555,383,118,580,211,090,116,
171,816,445,238,879,631,301,707,552,840,685,998,956,324,525,545,223,615,717,
973,115,802,918,544,734,516,441,834,863,695,184,401,050,146,302,585,645,063,
716,834,809,508,106,397,251,562,189,867,571,238,707,069,337,404,068,492,662,
795,448,351,461,276,827,847,428,208,428,561,392,702,473,172,614,276,934,708,
008,256,858,270,948,830,851,731,789,833,578,373,257,024,835,498,882,100,084,
412,527,536,827,873,884,034,280,369,453,929,554,251,619,128,862,549,423,686,
078,412,134,231,408,592,514,640,440,992,893,729,160,977,800,406,893,731,521,
944,010,277,868,589,838,827,103,740,467,271,514,155,810,616,413,941,009,244,
054,982,836,495,521,764,500,815,442,092,083,818,211,543,617,007,684,431,037,
810,024,213,651,585,739,247,126,164,666,996,386,531,506,131,935,881,293,244,
809,413,529,127,898,779,945,495,656,670,487,566,661,571,791,574,695,215,080,
969,384,799,689,385,136,539,178,684,556,246,929,760,206,485,289,470,695,189,
807,978,270,229,267,729,684,076,175,099,815,241,900,571,986,671,086,054,597,
196,037,603,783,632,266,494,875,025,415,160,121,765,509,970,507,473,205,719,
643,405,170,107,908,334,682,258,065,056,592,566,720,130,989,613,706,236,626,
449,787,283,825,700,415,314,588,796,857,051,541,148,532,334,060,999,715,516,
012,701,133,932,037,896,525,328,440,920,066,763,482,490,489,502,519,365,890,
353,331,951,988,384,676,390,374,581,866,283,569,825,258,968,896,497,398,585,
715,780,220,053,001,925,682,534,023,336,417,599,224,334,623,849,544,523,387,
495,490,949,596,021,765,543,893,909,636,824,790,408,275,713,594,417,741,059,
960,123,611,108,490,785,723,435,528,980,422,441,122,315,643,647,080,334,021,
566,735,822,100,062,493,874,967,379,054,537,836,653,169,257,681,452,037,261,
913,572,010,990,362,724,831,007,064,860,561,722,137,442,974,116,952,704,981,
004,031,125,798,109,707,183,067,174,928,799,371,217,848,058,138,578,096,314,
694,584,087,103,195,143,833,728,964,558,489,016,842,665,061,038,285,162,535,
847,828,745,291,485,984,490,380,598,025,198,794,431,820,068,045,796,249,576,
542,247,402,636,602,312,669,870,060,455,982,099,100,404,271,217,858,632,141,
843,481,490,075,538,041,032,635,922,979,325,575,968,049,071,050,712,809,093,
733,803,768,748,582,967,635,253,769,565,781,812,857,667,120,059,390,533,044,
226,099,644,658,510,204,397,874,823,652,169,213,743,436,209,426,575,236,486,
928,450,146,366,869,667,378,418,963,704,780,585,548,976,451,114,923,749,377,
917,474,415,994,472,688,380,038,848,737,462,196,770,808,232,510,027,598,396,
675,272,459,635,099,651,883,043,348,043,673,471,641,814,529,700,396,675,163,
466,575,525,788,402,390,047,756,987,780,862,764,229,966,795,029,265,853,342,
118,371,952,167,933,462,087,787,359,052,448,668,883,446,111,060,272,414,325,
669,782,153,793,853,500,391,773,437,229,401,028,772,751,855,686,520,642,784,
631,214,303,798,862,411,266,906,460,658,300,735,901,705,032,250,628,294,113,
529,817,522,725,899,404,672,451,475,068,964,303,066,502,933,606,893,600,538,
330,659,728,568,166,103,582,170,583,996,497,586,183,543,261,970,628,267,123,
964,500,164,120,840,726,326,666,859,619,460,124,902,220,705,638,614,622,217,
042,341,872,006,803,639,420,504,480,292,815,527,006,329,747,088,278,893,350,
863,057,714,051,743,834,121,637,605,577,612,767,155,612,582,628,788,365,827,
837,531,754,413,105,155,523,638,076,650,738,789,714,288,973,134,086,903,829,
445,267,041,584,296,598,177,964,586,553,069,488,252,417,982,510,585,296,882,
754,926,741,366,219,442,824,701,235,699,408,980,815,157,320,884,914,637,567,
032,036,961,429,483,042,431,514,696,599,710,655,297,259,409,998,997,197,402,
538,732,814,786,338,052,993,958,222,068,064,104,733,475,649,350,479,687,146,
898,660,712,784,035,335,796,120,855,262,548,077,086,506,939,987,854,189,119,
759,775,737,727,297,685,943,280,922,473,144,797,760,557,348,642,976,830,122,
171,879,787,614,298,970,256,693,912,664,191,371,686,849,490,947,660,627,263,
997,024,971,925,691,988,255,833,832,972,154,822,589,481,405,593,358,772,214,
121,108,854,505,513,736,341,128,132,435,382,499,389,397,882,207,369,484,372,
980,652,211,574,246,200,849,133,207,537,750,945,581,675,702,143,534,577,636,
705,000,636,071,946,521,283,625,302,393,507,764,619,468,340,500,502,342,511,
799,533,573,015,180,719,810,913,699,363,217,645,705,226,152,854,947,910,978,
147,531,968,103,244,906,643,297,317,544,127,229,014,906,093,827,353,739,365,
999,983,830,677,044,202,433,312,281,494,097,895,567,634,223,105,858,629,618,
504,343,509,766,302,926,051,871,471,542,438,627,392,201,252,433,323,283,884,
136,330,240,911,264,210,589,178,760,479,468,947,382,794,574,784,416,137,537,
185,565,976,649,505,693,062,417,177,866,282,911,519,711,937,223,853,345,292,
434,331,655,623,817,492,348,476,538,060,009,892,360,440,692,086,344,446,828,
746,580,150,916,512,616,407,936,787,712,892,964,025,485,486,427,084,205,338,
419,736,102,159,010,452,332,475,668,001,390,544,241,782,596,746,250,641,064,
226,838,774,982,687,507,318,595,622,812,205,581,089,003,994,097,162,293,332,
780,730,466,016,989,122,936,551,636,110,521,306,430,938,756,180,955,933,687,
892,244,290,216,872,579,225,968,532,660,555,123,778,788,689,991,539,327,012,
421,488,829,595,331,190,094,649,800,865,392,516,113,381,769,630,851,733,787,
620,344,622,906,859,042,623,815,882,466,194,252,074,769,774,761,495,277,841,
631,250,902,546,916,251,076,756,223,906,999,123,584,247,739,663,429,872,371,
901,468,836,099,145,157,084,702,640,547,980,925,458,185,635,421,597,489,601,
137,313,415,921,254,919,215,884,286,622,322,836,986,938,567,993,267,556,017,
025,143,961,049,769,474,279,246,309,668,429,062,522,015,508,207,219,911,689,
326,645,794,251,724,932,331,151,308,331,932,427,255,729,751,756,320,157,107,
916,292,643,669,586,672,892,599,442,186,336,860,493,790,937,029,832,352,762,
983,497,713,862,203,863,721,839,315,167,418,794,802,927,523,371,182,058,222,
892,887,918,820,058,523,566,919,247,696,906,672,911,476,111,108,758,837,717,
389,297,132,992,181,373,777,861,943,347,507,439,807,165,389,871,266,904,014,
314,371,777,579,498,383,189,278,068,452,347,782,404,711,315,744,771,223,583,
961,847,015,820,409,062,911,920,660,079,670,680,281,499,932,709,319,198,422,
562,991,094,488,786,941,998,781,503,327,664,518,446,356,977,514,142,626,402,
676,699,153,170,333,886,162,059,357,166,407,579,520,048,038,009,015,810,599,
433,991,841,353,530,120,018,715,080,990,497,892,355,628,966,286,235,063,037,
754,559,342,764,029,113,808,156,305,755,448,172,412,659,906,379,078,915,059,
217,591,024,341,745,256,450,791,628,019,070,268,411,511,839,266,807,909,836,
564,278,739,114,706,535,624,736,508,808,124,798,039,139,543,311,473,743,752,
240,254,281,020,957,146,851,014,674,960,180,419,769,575,381,967,341,602,344,
565,945,123,234,263,054,471,871,532,777,002,347,565,132,074,680,606,061,145,
173,781,452,046,080,325,370,432,038,100,224,094,800,602,333,287,156,241,356,
176,742,296,392,773,777,220,033,655,286,098,414,708,215,946,889,184,801,363,
019,487,378,613,853,157,444,533,854,577,791,240,961,262,696,585,554,187,790,
874,703,217,720,514,364,299,619,284,547,214,868,365,611,922,202,437,743,998,
537,475,060,402,950,089,081,520,921,935,341,126,945,685,390,658,569,560,632,
953,363,172,175,275,433,040,710,178,626,621,131,391,984,827,983,873,954,365,
657,674,029,326,158,179,657,258,088,528,906,616,987,980,625,228,613,148,277,
505,046,192,586,125,998,722,640,909,914,357,695,933,705,032,801,975,320,132,
441,516,404,201,935,173,926,484,679,678,140,193,448,992,037,170,130,692,665,
455,194,314,025,884,955,837,261,102,033,662,342,787,530,889,101,766,161,596,
666,434,224,306,840,433,307,839,022,696,015,056,665,003,068,590,583,540,317,
632,507,091,900,616,416,206,962,802,490,271,099,365,792,353,169,237,807,037,
437,873,390,728,897,729,961,828,338,417,579,082,695,899,719,937,619,946,702,
933,487,355,367,227,608,648,550,946,341,102,611,051,771,289,098,359,769,375,
161,716,485,593,122,059,962,024,511,675,107,313,274,105,829,349,929,006,081,
831,687,900,008,123,366,834,171,006,568,115,988,180,086,925,575,460,258,022,
181,060,556,258,401,959,640,461,413,299,534,459,402,909,944,698,642,972,227,
207,741,827,783,818,618,201,743,509,733,554,873,418,715,292,928,576,880,334,
097,579,511,978,551,329,911,195,668,911,953,107,909,950,358,368,346,596,422,
765,189,056,668,858,146,492,919,336,633,217,828,696,767,132,508,233,962,428,
562,900,549,409,665,327,737,370,662,002,426,065,872,525,388,754,442,682,482,
434,870,018,617,082,497,232,206,512,477,581,629,713,475,695,819,502,808,880,
188,295,776,252,623,095,322,422,716,338,855,347,083,078,367,057,394,786,644,
963,344,385,960,090,415,984,928,366,017,189,203,239,742,020,504,255,454,453,
470,821,279,391,734,262,439,990,295,222,413,746,361,696,416,016,398,330,285,
844,865,601,941,239,234,295,958,074,652,158,254,361,428,886,614,811,460,462,
391,601,937,531,991,326,615,172,874,841,950,006,021,988,628,138,689,685,786,
902,622,568,322,139,163,636,498,858,327,064,420,998,604,426,339,476,344,402,
007,233,225,063,605,784,650,116,195,248,110,355,350,450,226,997,532,777,886,
619,191,292,471,408,178,352,322,087,169,117,715,903,906,178,178,733,981,500,
827,771,937,869,463,100,610,378,454,594,395,356,197,783,515,644,008,833,066,
469,901,417,837,520,520,331,897,408,730,389,671,947,150,406,074,210,300,063,
766,068,199,508,309,983,854,812,364,873,934,903,102,937,476,221,205,468,284,
354,167,293,642,000,721,284,660,301,752,478,010,409,417,544,897,852,923,081,
158,662,436,869,520,002,483,267,034,367,903,453,947,144,286,458,098,941,934,
360,735,993,548,472,436,033,545,465,621,932,007,674,241,180,257,793,282,455,
324,053,511,505,924,226,000,895,834,858,339,943,336,665,695,926,122,435,836,
856,253,308,332,056,951,214,269,157,330,836,089,269,265,271,310,792,626,657,
796,329,048,227,573,616,342,596,981,538,354,361,389,944,105,839,274,649,490,
284,584,750,023,171,082,941,252,181,512,727,587,302,814,648,396,367,484,321,
080,843,030,686,698,835,761,577,583,422,591,236,740,660,151,700,761,759,831,
630,192,466,357,996,032,325,306,551,371,965,564,044,247,844,424,742,992,952,
819,651,612,981,886,349,951,466,481,502,031,785,954,121,638,376,345,907,922,
885,230,597,884,106,223,803,733,766,323,859,829,429,924,645,262,614,443,105,
142,438,029,879,560,129,349,592,813,129,740,689,433,538,272,846,818,518,654,
162,581,912,934,226,153,078,377,625,960,580,656,356,648,997,188,414,253,999,
404,971,478,428,589,397,824,691,309,127,574,224,415,099,555,316,846,500,496,
423,090,648,005,188,264,103,583,830,405,368,942,102,206,285,638,546,119,441,
372,375,327,992,964,403,889,069,155,217,839,559,352,807,009,834,911,584,680,
005,308,954,123,390,416,448,385,425,080,262,118,674,937,512,673,359,623,257,
866,325,994,912,995,443,580,875,171,443,237,485,833,310,388,036,181,147,479,
007,726,710,762,656,852,321,048,608,871,280,196,368,156,714,278,748,233,929,
051,022,082,930,720,643,218,915,197,208,146,047,006,425,057,065,210,946,064,
422,946,405,280,466,790,416,279,368,962,417,788,453,389,012,605,496,387,949,
036,751,488,436,653,563,001,613,684,405,283,674,201,092,357,329,289,528,748,
468,008,812,134,171,525,727,314,031,292,980,662,572,680,836,683,225,246,050,
549,378,927,547,451,271,665,335,532,451,412,532,593,011,985,500,348,673,889,
379,666,308,381,005,514,189,674,577,745,010,954,755,151,038,502,290,980,361,
253,334,357,333,616,076,365,144,947,815,905,159,490,982,945,512,496,841,488,
231,902,856,359,184,935,785,261,951,414,424,803,322,429,248,253,020,961,061,
887,172,626,399,337,789,036,828,314,666,042,123,999,480,281,920,403,313,382,
703,100,908,245,527,267,311,164,005,913,448,320,179,360,830,134,301,359,122,
284,011,610,596,809,939,651,744,467,736,315,011,859,901,130,356,526,516,738,
969,772,084,268,070,743,029,413,877,804,647,507,035,578,111,215,109,358,079,
153,123,267,439,598,887,860,619,015,692,050,675,440,308,478,898,229,520,043,
798,341,793,860,510,399,971,884,860,146,574,011,297,543,881,224,907,691,488,
510,934,680,493,983,915,940,084,507,017,672,661,229,449,964,466,748,536,264,
100,310,730,777,154,135,286,362,965,395,753,396,343,995,626,712,805,058,158,
168,201,538,477,766,973,059,739,366,657,850,550,147,788,028,413,953,888,302,
440,344,431,448,704,461,354,162,463,012,922,445,609,418,511,681,303,936,265,
671,641,252,767,128,779,283,001,023,176,552,334,566,457,806,219,021,935,039,
493,492,982,826,316,006,404,875,704,934,098,548,703,057,171,730,157,732,388,
049,517,521,671,834,283,457,548,968,327,077,214,903,343,717,789,877,562,102,
277,443,849,231,974,718,381,045,766,745,618,795,392,737,795,025,642,092,931,
437,324,523,768,462,055,276,627,783,649,929,153,774,964,275,580,499,342,470,
333,351,867,981,355,410,556,543,652,549,791,627,349,692,091,610,528,085,796,
592,949,917,862,728,967,072,638,524,157,096,363,213,817,718,558,393,130,969,
946,401,019,952,995,041,795,105,212,079,461,990,030,993,340,103,721,959,242,
156,748,132,004,575,458,957,321,137,258,397,123,258,335,676,436,504,471,925,
866,743,860,600,947,580,168,029,879,251,485,125,549,703,624,558,964,286,810,
582,723,399,027,764,969,658,733,358,238,120,311,435,371,902,693,273,164,081,
696,491,870,567,539,533,169,958,444,653,856,772,521,601,845,623,903,687,330,
219,902,185,431,769,053,113,061,533,935,396,459,134,297,885,371,833,057,551,
051,657,070,072,520,974,572,516,168,797,359,589,731,118,869,220,499,059,789,
876,542,430,302,943,358,500,850,551,393,790,580,867,874,199,311,009,958,248,
676,502,129,845,181,006,671,392,210,824,521,681,882,342,506,539,901,283,097,
941,695,684,857,210,200,627,376,322,251,503,643,578,626,798,752,557,095,969,
718,093,846,077,435,480,764,542,624,753,829,682,161,629,053,567,697,694,711,
445,033,492,734,785,298,567,423,783,234,228,332,698,441,530,457,200,309,524,
561,582,430,489,299,751,261,517,929,680,597,084,229,784,426,857,678,405,695,
505,592,235,544,705,317,907,408,717,666,508,195,043,872,157,648,776,607,223,
808,186,304,010,252,777,760,099,264,832,568,668,555,932,283,292,763,884,409,
217,325,881,147,980,511,307,971,342,738,009,710,499,941,549,402,105,441,416,
812,553,270,187,037,692,506,323,453,087,732,866,178,409,367,265,422,658,637,
954,934,270,755,645,250,058,178,852,754,327,905,708,848,057,974,949,319,642,
531,967,393,656,136,264,543,179,018,604,537,355,358,732,472,269,597,712,125,
241,018,077,930,143,809,640,488,419,623,279,783,902,899,088,413,739,684,286,
236,486,939,356,382,550,641,001,900,350,014,527,668,741,308,772,681,757,220,
352,728,284,069,728,565,068,601,875,793,677,754,006,771,857,321,525,414,079,
083,207,721,367,421,290,096,723,595,862,177,610,242,528,953,555,311,496,668,
797,018,049,919,975,796,077,103,769,045,187,724,629,128,611,520,321,281,062,
270,328,182,965,332,387,498,359,707,542,886,821,365,933,933,538,264,362,983,
614,760,176,753,888,048,720,676,280,332,998,986,955,568,740,456,961,427,487,
746,936,882,886,092,115,727,111,396,654,475,219,374,273,383,767,899,374,368,
211,943,736,358,214,413,364,879,273,220,206,544,825,503,285,383,737,082,494,
409,287,847,139,148,969,691,356,278,588,621,154,660,288,807,289,363,058,287,
293,622,968,723,737,192,917,946,910,530,656,278,447,128,266,966,683,714,676,
175,847,370,580,066,708,932,797,294,211,950,440,622,353,187,318,308,668,986,
865,350,057,427,263,501,541,428,049,581,713,485,860,578,264,706,967,087,023,
927,407,345,312,185,134,557,397,347,303,388,950,042,027,171,979,523,714,073,
685,231,631,907,819,445,805,822,948,320,942,193,679,060,166,247,016,015,402,
818,301,701,071,428,380,339,261,854,254,963,222,751,621,212,313,008,279,963,
163,786,424,523,452,008,433,747,744,144,519,402,709,743,461,101,143,368,874,
465,267,587,244,116,290,446,679,433,731,569,513,017,681,625,391,497,742,302,
322,781,203,755,571,478,874,461,257,488,297,040,957,284,031,517,288,452,634,
566,422,495,493,322,503,641,300,991,928,273,683,575,072,289,366,430,129,675,
721,209,354,441,027,693,493,048,372,922,999,653,695,467,224,862,182,297,726,
196,970,507,603,045,167,742,989,150,664,855,319,492,634,881,018,219,113,444,
897,311,743,001,763,912,791,005,704,399,703,209,612,633,006,633,057,188,243,
681,404,421,332,161,236,290,845,572,466,455,140,051,363,272,223,284,647,282,
911,024,151,050,819,248,911,490,876,390,107,157,455,551,632,365,057,244,109,
666,103,065,827,250,609,966,236,842,708,466,100,435,471,394,912,354,219,219,
084,820,755,454,141,220,859,027,994,379,390,791,285,926,808,728,793,326,814,
963,416,556,622,756,238,997,314,865,387,940,001,611,115,113,493,727,595,886,
584,674,252,945,932,627,337,471,118,764,614,940,766,000,299,689,777,722,404,
002,846,645,096,143,253,184,934,177,011,763,634,281,232,584,156,305,589,972,
097,851,700,286,163,268,511,566,161,729,582,209,354,132,855,842,535,383,981,
056,361,647,898,496,283,617,390,773,006,328,831,119,923,884,396,495,564,234,
662,730,219,379,776,027,537,030,279,441,296,245,044,803,926,853,488,679,030,
642,494,868,552,606,434,303,951,383,093,016,479,885,916,919,235,876,223,699,
326,878,220,002,946,261,730,828,352,052,730,496,122,947,125,916,491,455,716,
549,160,695,724,082,566,112,920,254,104,101,072,436,215,655,793,239,170,884,
799,718,067,405,906,648,467,558,966,298,333,523,404,037,806,688,002,450,405,
433,117,506,059,626,153,956,420,697,201,363,030,236,157,594,253,776,933,843,
107,552,305,839,342,328,983,349,459,849,597,214,875,535,401,263,000,975,813,
333,264,530,569,059,370,225,050,230,933,524,238,232,033,570,228,930,188,584,
979,663,460,030,926,750,342,937,736,342,547,707,488,358,110,677,498,846,456,
794,564,262,493,272,688,537,370,325,529,537,702,499,197,029,646,761,738,266,
051,976,317,609,267,418,448,997,559,396,523,459,462,577,724,486,762,351,872,
429,302,507,613,521,732,014,551,761,364,856,023,014,712,901,837,707,845,751,
988,636,213,503,042,670,502,957,778,485,112,800,320,928,973,537,183,527,604,
189,957,996,083,996,688,746,550,689,484,001,002,353,220,955,908,706,525,487,
559,785,367,121,986,277,080,100,132,780,481,832,910,926,301,919,016,316,702,
709,392,743,493,887,404,325,640,379,201,566,376,452,460,474,368,843,392,353,
415,858,586,621,956,827,704,840,169,658,912,738,975,627,744,212,658,903,038,
480,175,484,072,936,529,275,188,777,507,751,979,937,096,276,764,344,068,126,
826,984,278,633,576,301,446,083,182,975,443,197,376,698,692,816,839,513,243,
556,217,793,373,488,821,638,326,106,791,300,789,599,209,527,356,883,599,285,
314,893,872,014,923,728,017,589,375,893,883,689,517,217,814,658,778,075,839,
941,884,823,318,726,126,220,716,471,077,686,979,755,190,761,431,275,716,880,
050,758,675,054,963,613,887,651,012,391,370,205,248,701,071,397,735,985,355,
486,922,945,474,433,719,257,670,098,199,448,485,293,235,349,308,302,908,494,
448,562,956,677,983,577,733,553,231,979,826,705,419,195,700,443,867,965,042,
443,039,473,959,287,817,476,810,563,848,132,087,243,303,995,520,849,273,945,
630,428,459,550,255,888,498,294,480,635,455,652,777,004,130,635,808,282,936,
396,545,698,127,972,061,264,714,630,631,696,758,560,842,538,660,187,057,593,
859,183,261,012,974,167,970,846,428,048,825,359,926,797,780,322,375,183,815,
452,618,136,500,477,253,551,336,277,858,531,606,110,990,238,647,690,145,538,
660,167,022,023,238,775,816,764,768,336,567,420,071,114,296,903,771,641,152,
273,052,900,275,150,305,712,879,513,860,500,241,900,108,048,217,919,880,658,
838,918,455,313,841,004,321,870,501,942,950,986,758,227,700,823,613,969,919,
305,457,384,398,749,284,511,290,118,324,286,707,684,684,906,204,382,107,703,
613,188,166,074,970,742,653,629,449,222,224,327,041,992,571,645,497,901,697,
197,108,458,594,224,776,832,414,390,093,607,452,238,349,134,530,782,174,334,
091,516,171,036,239,777,076,303,626,985,350,347,834,485,200,002,308,715,534,
767,226,945,406,295,102,531,667,673,050,295,508,762,779,374,465,881,129,232,
116,340,232,846,354,558,944,342,638,210,518,096,446,197,658,222,328,655,318,
457,631,779,424,993,775,257,143,769,747,862,712,364,269,443,395,836,934,402,
916,174,289,519,827,765,511,128,524,024,130,994,079,257,253,729,975,970,192,
532,773,501,276,969,829,723,194,777,380,086,742,445,514,193,074,928,811,378,
734,964,174,673,967,361,434,799,806,026,479,717,521,178,426,971,455,904,492,
203,296,637,581,724,513,168,303,998,161,530,181,877,261,566,654,455,659,729,
849,138,593,926,259,779,247,232,977,710,382,474,826,924,112,279,117,966,820,
522,171,637,494,032,199,342,412,192,858,549,404,969,561,116,785,876,398,300,
841,281,158,074,511,609,536,627,210,148,726,792,204,947,619,296,282,340,239,
799,202,401,880,375,379,733,237,770,499,130,568,334,699,754,316,694,641,703,
050,710,642,818,220,658,556,003,696,603,495,315,522,477,759,870,890,324,417,
342,335,719,202,557,002,281,490,759,944,695,553,938,423,949,496,418,007,810,
445,311,634,955,294,433,091,751,040,306,130,659,845,989,182,035,050,363,213,
090,275,962,301,272,699,711,210,810,573,091,828,086,684,930,624,572,237,854,
868,243,925,055,313,359,163,316,673,327,712,319,372,527,790,098,108,976,749,
745,303,680,226,983,385,048,544,704,446,198,119,063,504,661,080,034,068,235,
847,848,941,044,354,373,686,744,794,962,121,338,073,897,787,053,395,635,909,
929,546,101,996,733,339,516,702,895,226,393,920,838,430,390,600,289,244,552,
930,882,126,566,571,771,958,760,446,240,701,209,132,703,304,396,014,987,854,
459,793,799,731,824,964,577,116,272,895,431,804,555,221,921,204,642,426,177,
592,416,403,190,202,980,495,115,383,168,208,899,424,008,739,531,518,785,059,
258,576,218,834,448,768,464,123,909,188,348,710,710,016,199,579,982,290,335,
078,056,453,896,674,697,631,602,224,362,441,806,065,787,738,660,220,882,820,
041,479,401,532,051,029,275,545,132,016,272,013,119,818,996,646,545,671,476,
050,480,284,150,756,732,948,685,569,766,742,485,393,296,952,081,582,257,305,
038,516,338,446,378,652,532,389,228,927,806,634,914,219,226,692,960,821,852,
186,774,652,081,929,309,810,555,370,761,535,216,941,758,832,186,194,010,529,
355,852,231,298,768,386,986,912,284,554,311,808,364,101,566,409,208,191,056,
716,774,806,384,855,000,035,472,403,142,244,273,318,926,788,062,529,561,552,
589,236,897,389,419,798,162,480,693,932,765,636,025,017,194,161,532,658,107,
792,968,272,276,130,439,119,158,908,593,786,043,943,153,950,214,602,519,116,
965,828,361,735,728,308,095,270,435,782,073,256,469,695,752,953,933,629,489,
593,077,583,989,839,121,671,662,065,119,136,870,661,276,522,002,667,677,680,
337,195,519,338,963,663,404,903,776,699,241,467,722,099,977,703,009,175,720,
652,660,185,621,218,469,176,798,140,605,211,279,513,632,639,000,055,653,861,
819,902,127,188,180,336,228,938,712,338,047,647,063,872,927,016,586,554,884,
552,455,600,732,421,493,799,186,193,165,775,346,624,032,299,137,726,658,429,
303,027,231,712,879,893,189,116,948,159,546,453,844,516,219,492,082,835,790,
888,897,735,360,851,663,866,418,343,341,029,037,517,316,089,692,520,345,360,
273,195,113,288,187,057,304,894,743,818,630,557,958,923,336,006,338,280,008,
236,946,640,053,465,374,523,584,548,664,128,312,166,245,950,382,873,363,624,
775,191,321,544,233,521,201,454,158,477,932,215,340,919,085,747,515,833,192,
912,954,919,548,953,347,388,015,075,896,648,652,710,339,754,390,640,295,728,
285,705,351,806,801,123,944,771,781,479,403,768,413,361,069,761,964,195,480,
334,903,770,658,876,526,890,736,342,300,566,083,573,300,477,055,598,632,932,
206,167,882,973,501,625,111,577,121,502,561,150,024,321,942,189,946,378,877,
413,094,381,729,005,418,226,507,253,840,012,461,779,677,868,801,435,752,846,
905,753,711,048,482,911,079,430,502,876,384,970,131,126,369,422,734,088,230,
429,546,110,662,819,175,456,467,098,539,103,644,433,744,229,815,136,446,329,
557,104,164,680,875,398,363,131,988,373,463,554,228,137,102,400,837,349,846,
063,240,804,773,154,254,591,581,739,277,083,037,837,041,523,024,477,283,947,
244,368,661,235,599,059,862,660,368,911,443,854,804,361,435,043,601,993,610,
588,505,885,864,198,853,618,406,740,967,236,063,086,332,937,808,196,185,258,
744,169,060,435,343,473,316,956,461,620,411,248,076,004,657,401,022,492,310,
651,705,668,808,064,353,734,003,054,810,729,372,652,348,776,269,079,015,563,
900,194,016,493,407,527,445,364,654,618,952,901,995,088,616,600,618,651,849,
331,766,769,717,188,349,623,653,853,382,014,020,183,809,431,507,116,921,598,
162,655,699,709,903,246,682,510,516,868,415,166,752,862,244,464,565,320,883,
302,792,386,379,331,790,056,306,304,956,317,266,942,981,442,449,660,613,100,
989,457,395,005,917,122,770,211,477,119,770,290,651,090,145,564,005,190,192,
984,185,817,110,790,666,255,667,631,112,970,317,380,694,547,027,225,964,902,
203,712,013,216,129,453,514,743,173,626,967,523,119,924,041,154,717,213,255,
294,297,432,395,420,881,167,210,700,590,102,267,574,980,806,553,757,312,142,
589,701,973,682,727,351,823,784,757,771,376,768,300,575,219,568,948,791,133,
325,069,439,588,670,638,468,083,024,473,076,367,566,463,462,813,059,628,039,
113,030,114,086,841,808,702,537,109,991,387,322,533,543,885,390,055,679,422,
634,989,958,227,209,677,915,943,630,230,741,723,053,543,063,387,600,148,257,
682,383,885,302,971,315,135,270,642,441,535,041,919,712,827,688,796,021,210,
011,084,343,198,416,244,623,473,165,874,906,898,680,614,046,871,001,195,031,
935,396,566,247,066,775,497,229,245,393,204,416,679,033,986,739,986,052,903,
498,092,416,719,821,785,156,284,746,539,515,141,259,355,989,092,368,049,446,
983,513,445,235,024,073,828,171,752,035,058,628,100,328,502,103,284,076,441,
100,865,912,011,998,345,881,969,213,988,438,894,871,322,828,769,978,383,840,
857,700,519,857,959,149,845,162,627,263,774,419,235,625,177,537,395,991,907,
136,863,082,827,973,128,343,758,542,926,476,642,505,392,069,913,869,087,261,
644,681,745,153,517,109,918,841,501,279,371,284,498,358,059,432,729,841,913,
985,963,265,486,422,673,662,220,131,204,228,622,967,298,562,043,870,969,818,
066,541,380,800,833,067,881,202,381,344,891,849,397,655,052,108,933,073,360,
726,324,619,054,680,226,995,617,397,797,807,762,825,689,147,173,649,532,013,
038,141,820,286,686,965,248,605,403,596,641,221,839,867,260,464,291,930,515,
706,152,526,816,158,049,979,767,198,015,339,460,287,029,631,366,560,760,305,
429,327,733,639,137,862,373,684,040,967,203,126,736,725,914,210,734,462,804,
532,246,274,937,691,686,455,455,124,144,316,558,543,997,013,545,294,095,639,
979,665,498,227,564,155,469,213,341,282,695,393,822,004,575,478,880,183,092,
647,477,127,772,443,393,790,371,626,684,892,044,712,243,876,932,081,649,754,
069,895,240,671,880,006,018,198,252,227,830,473,826,444,896,235,597,662,904,
196,506,723,371,653,567,176,474,326,087,474,653,392,758,606,225,460,675,432,
873,585,536,605,734,285,993,252,351,668,373,153,597,618,327,814,962,406,783,
169,465,175,529,194,224,150,084,201,308,547,528,210,751,710,525,326,897,379,
493,063,980,857,923,039,917,924,361,188,918,052,944,005,971,155,727,171,730,
748,339,617,947,639,096,138,690,155,121,841,577,391,510,274,577,184,329,813,
321,753,507,807,039,003,232,336,503,596,054,588,306,001,790,966,809,447,008,
155,586,726,503,384,664,552,183,422,924,683,789,938,136,607,263,543,471,463,
454,013,834,124,475,477,331,044,899,188,829,715,271,251,069,109,660,665,328,
846,654,998,776,443,090,066,497,632,901,136,424,823,710,491,366,550,794,170,
920,995,706,469,343,600,100,829,495,170,957,491,762,848,920,781,894,474,438,
608,805,406,646,119,981,536,480,220,370,629,718,939,632,882,535,167,636,042,
816,443,616,118,143,481,233,442,694,730,300,278,054,776,763,936,577,224,319,
734,703,427,340,998,719,119,098,543,970,039,014,395,471,884,238,908,587,521,
387,570,423,617,437,706,247,166,368,098,729,311,255,042,718,733,020,747,866,
628,327,115,003,516,141,643,186,928,678,916,715,066,287,765,401,359,799,406,
142,478,045,630,260,703,734,002,048,591,429,649,575,041,297,273,078,222,844,
210,087,432,309,022,793,785,194,418,733,273,426,337,668,705,783,140,956,286,
622,729,557,594,532,692,586,379,840,780,141,195,636,519,842,564,647,858,399,
412,318,319,263,068,680,791,450,449,036,385,557,585,536,108,493,190,372,853,
714,690,017,499,994,471,697,787,213,014,868,468,794,135,631,943,092,848,292,
332,445,583,197,808,629,481,379,568,960,583,901,936,889,931,103,077,839,293,
268,548,488,775,553,466,347,683,694,790,871,139,725,444,435,204,086,028,993,
386,029,809,768,815,174,126,760,159,932,721,611,171,026,977,012,522,741,993,
370,801,274,643,109,950,735,978,833,053,012,138,743,540,188,306,464,534,509,
976,780,498,107,214,537,312,291,588,056,989,721,128,596,220,840,991,059,183,
317,825,672,138,329,927,493,089,635,827,656,433,111,500,482,943,558,215,723,
032,576,214,623,867,899,682,433,441,745,947,957,588,916,161,450,002,744,386,
139,310,402,346,990,728,969,540,498,962,667,584,092,911,842,065,210,356,881,
911,094,941,604,078,569,834,588,019,303,531,080,882,599,436,814,780,600,448,
631,911,369,529,037,429,227,861,671,667,998,466,159,311,746,086,178,122,708,
666,614,646,825,455,933,472,985,918,335,243,180,438,844,934,670,801,748,156,
223,520,622,326,565,603,139,925,729,788,541,888,338,834,565,600,495,053,765,
232,502,134,112,402,401,039,845,706,570,279,798,563,730,515,000,315,833,341,
980,407,239,578,362,740,146,426,483,914,869,506,884,913,386,060,066,781,559,
776,466,691,274,792,948,824,659,432,310,914,337,431,662,284,035,358,110,364,
699,597,175,080,383,238,997,304,293,544,914,362,509,162,883,800,123,920,162,
422,120,987,877,890,480,349,885,781,937,870,815,148,935,355,910,806,082,058,
231,621,151,302,592,623,257,856,299,920,113,016,633,116,058,246,098,190,998,
374,718,145,587,492,888,563,849,386,956,136,094,063,497,155,098,359,475,799,
108,045,314,116,921,189,630,477,077,866,519,419,526,399,301,032,421,546,704,
368,327,261,572,425,891,527,772,299,201,220,110,327,821,851,835,846,251,854,
595,275,368,017,345,978,629,311,549,598,789,861,563,168,904,659,983,423,539,
576,464,358,551,868,979,763,745,338,981,674,649,096,367,150,281,137,801,157,
475,109,486,964,543,127,214,083,352,985,775,182,863,175,422,447,274,332,423,
277,416,391,299,825,513,268,069,113,314,659,446,677,984,356,029,509,859,451,
536,894,082,040,333,470,006,380,441,719,754,525,297,649,198,128,865,605,976,
169,626,464,909,940,777,427,852,633,793,491,705,862,775,844,932,213,191,886,
680,251,001,198,512,541,359,652,365,778,323,152,634,771,243,133,043,015,663,
438,467,964,394,510,166,231,272,110,777,663,586,559,015,746,475,303,987,896,
215,434,190,699,115,493,507,154,170,116,857,398,317,019,650,343,119,764,261,
165,790,184,564,025,913,890,547,360,950,401,023,146,044,012,556,940,851,597,
750,859,771,691,686,908,542,630,926,948,299,427,995,555,033,637,664,966,503,
515,644,138,087,560,522,047,436,120,409,738,907,550,686,700,878,829,714,768,
675,343,821,627,118,833,483,636,347,112,874,421,359,433,299,801,245,565,611,
628,583,279,099,073,170,334,020,644,915,472,030,890,150,964,254,161,479,315,
759,247,542,726,703,687,458,599,358,690,353,136,529,149,438,134,221,738,586,
017,268,397,491,861,208,385,722,638,684,327,301,430,062,018,059,089,337,319,
922,117,461,950,661,270,201,510,013,288,486,074,325,437,465,342,983,108,647,
454,767,943,140,188,106,360,625,819,189,656,728,866,691,015,105,524,630,867,
101,810,345,968,531,714,760,808,108,398,061,656,092,663,044,031,201,288,920,
591,827,202,544,615,155,266,977,784,204,862,887,687,599,451,135,805,336,907,
820,321,867,179,490,661,279,223,219,956,987,155,665,302,074,400,480,412,221,
422,842,883,692,965,637,647,562,005,270,916,920,218,491,325,685,709,874,216,
260,083,141,095,654,804,563,948,439,666,033,017,153,645,143,264,567,878,091,
025,712,840,400,838,705,980,689,569,068,356,178,742,752,936,559,223,975,472,
792,882,792,738,931,130,165,667,783,058,845,091,301,613,534,833,465,278,099,
127,749,430,298,851,247,588,051,820,447,490,651,180,764,840,577,593,716,567,
880,554,729,402,961,813,224,989,272,051,159,747,757,503,257,677,450,526,190,
748,600,396,084,750,824,099,084,968,097,022,995,181,079,195,561,945,444,126,
930,967,362,180,705,726,015,380,035,065,852,293,697,700,270,113,125,611,609,
798,929,420,813,849,921,953,546,941,529,786,856,759,231,246,928,374,252,396,
364,814,871,424,207,230,869,128,534,306,996,849,912,605,928,357,064,092,260,
115,094,153,464,207,254,005,825,383,373,928,702,484,214,669,387,543,170,319,
551,662,412,059,028,510,552,924,622,936,130,502,508,995,788,015,643,627,971,
728,547,557,231,525,624,565,314,426,896,205,688,100,729,200,499,040,458,341,
499,492,403,092,570,112,915,067,393,781,242,180,709,218,720,775,833,069,807,
166,042,374,824,033,069,757,203,658,184,480,996,112,124,623,728,104,426,165,
714,093,450,147,666,317,891,871,182,434,827,545,086,547,216,667,422,461,713,
264,122,083,888,004,892,641,899,500,820,826,247,175,086,070,368,329,541,167,
232,582,355,240,586,226,058,059,877,940,819,522,264,768,880,284,977,375,396,
720,534,140,561,440,846,692,342,512,145,804,760,640,519,524,358,308,223,581,
239,556,204,251,680,782,534,359,866,716,382,794,267,810,655,239,228,284,606,
679,981,828,746,105,069,556,706,030,309,942,513,526,236,946,610,656,130,980,
673,185,532,179,374,784,691,635,358,325,482,437,727,817,058,788,397,869,045,
246,736,175,220,766,724,608,107,399,975,644,904,671,830,472,127,402,672,526,
825,186,343,846,606,901,123,639,743,364,513,571,428,663,296,281,257,136,406,
397,018,787,477,153,013,193,112,924,240,471,466,474,324,299,744,649,471,070,
793,101,628,207,080,622,625,909,640,327,091,360,782,694,640,358,285,561,281,
136,116,761,690,919,688,953,970,374,319,406,167,401,904,092,109,506,326,781,
176,069,817,732,821,016,057,990,410,532,871,118,049,348,511,102,836,264,888,
304,699,462,193,048,252,089,609,918,909,489,456,546,960,447,429,323,708,569,
159,852,432,702,889,580,640,201,167,287,864,677,394,305,240,949,462,824,891,
110,712,980,362,787,019,475,254,740,746,782,257,227,610,206,733,014,424,542,
101,203,300,054,094,320,194,608,645,652,566,272,583,177,188,284,690,807,157,
678,355,387,742,084,341,952,524,183,308,771,363,487,262,023,811,477,362,304,
596,610,750,985,452,792,405,568,249,953,116,801,385,978,393,307,558,403,649,
581,353,767,393,579,655,501,103,471,283,162,583,609,274,168,506,907,999,088,
114,496,056,399,277,298,124,327,289,807,729,189,463,759,034,198,782,825,954,
902,674,266,712,514,011,506,209,025,876,544,244,629,322,963,036,027,338,480,
784,507,308,878,253,201,650,162,347,397,021,132,346,781,890,375,592,030,686,
921,416,770,352,699,466,420,317,399,129,913,583,383,752,434,868,643,029,063,
506,266,121,750,785,383,241,762,339,838,384,333,768,515,206,474,980,433,803,
769,577,359,099,599,352,531,364,610,411,758,833,594,551,638,395,793,710,301,
530,079,811,076,594,046,210,463,494,857,571,676,449,614,773,026,555,075,738,
947,067,231,729,725,403,041,369,404,548,475,519,252,988,544,281,743,694,183,
226,999,380,290,217,885,986,362,170,318,621,037,834,304,772,605,493,999,481,
626,949,595,664,644,803,275,593,715,525,896,662,618,410,689,067,340,681,534,
507,289,373,805,951,125,264,210,974,121,820,018,050,302,387,031,398,389,708,
543,011,076,294,696,695,126,807,117,438,891,823,510,928,074,272,337,788,887,
758,578,293,339,277,713,050,347,416,408,865,187,890,056,298,309,859,659,047,
354,538,869,769,458,043,298,161,569,223,472,958,627,078,903,475,478,906,673,
153,523,113,227,855,247,108,130,835,684,400,412,257,353,598,530,954,466,403,
184,685,145,167,740,526,646,813,440,376,709,757,551,801,953,263,224,287,397,
242,843,570,635,295,286,196,292,456,051,156,103,240,957,137,318,742,812,967,
530,166,651,176,697,418,807,642,925,517,285,465,849,139,847,986,669,861,702,
621,881,179,112,687,707,691,533,898,898,731,027,615,204,111,578,760,699,071,
323,117,046,669,829,760,633,588,368,418,354,024,144,818,187,538,920,999,672,
232,095,619,657,918,737,916,580,414,090,528,184,096,482,510,932,928,512,806,
371,334,029,089,076,164,427,946,897,004,945,166,683,129,631,202,333,914,496,
795,278,091,391,175,203,392,374,855,058,876,003,224,962,476,086,617,278,337,
831,368,693,264,320,657,728,884,491,842,022,966,707,415,304,593,117,455,893,
206,896,450,283,481,381,527,624,250,958,576,464,401,405,462,583,219,470,311,
503,841,845,223,594,064,957,612,281,425,122,355,521,494,388,856,531,361,451,
223,195,664,963,242,020,828,667,167,766,601,005,427,765,313,784,255,443,437,
731,285,362,870,833,011,747,789,874,005,688,208,931,872,803,375,360,646,577,
102,573,041,414,376,101,260,645,404,976,723,722,583,639,514,323,409,297,263,
853,068,333,728,043,484,850,195,398,756,374,905,971,507,376,017,170,060,396,
066,135,497,009,734,899,980,288,546,599,558,892,345,149,061,360,014,521,950,
217,082,754,146,702,721,332,494,588,608,478,620,969,093,016,979,956,070,451,
385,051,705,718,454,721,482,539,816,874,773,144,152,763,174,159,939,278,630,
530,791,847,242,090,016,019,977,222,311,569,580,889,786,620,099,785,873,652,
337,151,555,626,885,944,804,771,827,531,192,338,434,043,150,759,779,561,756,
649,895,764,129,622,472,013,165,168,457,646,306,579,860,001,812,740,113,875,
477,865,809,019,546,944,173,176,902,408,650,011,724,054,091,448,194,522,615,
685,058,061,646,613,549,438,871,711,416,401,842,240,284,840,134,365,573,238,
779,039,938,501,952,892,388,048,392,287,211,880,449,890,386,156,573,122,123,
548,920,180,760,841,464,706,770,926,005,184,417,572,077,139,269,756,061,991,
703,478,176,006,463,288,962,724,266,682,961,989,669,965,904,438,788,607,614,
039,216,070,868,761,129,190,545,183,702,099,845,134,558,323,736,649,385,947,
426,261,815,472,490,457,855,007,348,638,771,857,010,799,736,840,184,346,072,
554,784,540,716,723,845,485,859,795,293,144,395,064,967,979,314,364,303,271,
214,663,136,017,556,427,618,899,027,886,483,835,831,020,723,439,496,218,095,
339,427,999,113,216,155,534,595,755,794,732,160,656,286,674,430,986,102,699,
058,451,907,808,754,533,887,853,524,235,844,929,733,146,150,646,096,278,306,
016,784,932,666,206,502,375,248,905,189,250,718,818,291,536,986,350,487,599,
550,202,157,644,984,981,013,782,501,619,701,725,624,611,495,839,019,073,560,
748,539,241,760,912,742,875,789,184,393,296,242,512,115,770,455,363,300,211,
925,802,973,237,055,216,915,567,518,729,438,197,189,935,112,452,343,407,490,
297,828,763,228,637,610,349,454,848,485,877,275,585,888,247,002,829,979,001,
184,390,673,012,891,060,206,516,002,284,982,697,368,293,180,523,348,360,818,
961,771,309,190,399,316,303,320,322,675,538,425,287,245,302,681,585,978,991,
070,318,793,284,713,640,372,431,746,707,644,896,736,103,551,686,556,631,273,
391,506,634,240,328,278,887,701,322,380,920,745,967,041,287,530,013,654,297,
591,913,109,974,132,043,741,611,530,294,023,498,017,085,803,378,664,586,091,
800,408,875,467,826,915,752,827,035,893,303,101,537,972,706,370,373,138,025,
075,442,022,299,807,748,955,307,982,242,644,906,686,950,818,809,324,379,171,
893,017,308,921,222,418,539,917,038,227,889,545,160,728,290,612,175,052,220,
229,334,641,170,997,363,941,036,839,383,557,086,415,729,940,730,341,142,953,
430,231,351,895,676,189,055,922,498,080,358,034,005,966,120,507,640,477,014,
529,708,216,335,710,629,310,165,074,506,962,324,452,588,545,287,879,596,355,
511,028,508,541,398,504,895,507,650,035,097,612,772,654,088,653,310,595,895,
249,551,750,790,557,098,852,751,032,574,050,182,165,316,756,440,824,593,487,
870,181,819,620,860,426,547,760,631,907,565,326,295,927,902,582,216,684,599,
497,460,288,404,907,308,338,793,125,391,312,536,362,257,892,572,117,927,150,
833,239,565,825,938,551,156,049,996,413,909,793,091,827,952,887,607,765,199,
325,489,534,264,629,052,402,964,864,329,702,209,046,684,298,966,830,540,281,
824,745,757,470,076,281,580,093,720,540,498,906,631,850,807,510,474,087,415,
950,738,184,869,478,587,621,167,428,040,527,057,795,975,639,896,093,867,848,
063,186,880,145,487,800,219,968,801,404,030,746,520,052,277,474,524,358,025,
570,255,728,849,129,843,737,888,985,508,279,456,120,923,173,118,727,422,547,
277,220,742,130,023,943,046,749,022,491,120,960,884,156,703,462,785,472,374,
704,388,374,428,377,161,456,951,836,715,905,900,348,339,767,550,931,500,361,
380,618,241,644,034,858,553,577,475,527,702,579,187,104,579,356,261,215,214,
887,819,128,143,692,448,001,621,542,395,296,593,378,445,631,739,193,031,605,
311,081,484,182,706,176,646,854,752,120,805,271,640,509,949,183,213,713,085,
826,535,760,438,213,501,509,112,726,226,262,470,941,418,042,624,309,588,396,
331,845,166,677,439,864,387,066,667,178,802,542,538,825,763,008,617,238,665,
080,291,285,821,036,522,918,592,357,535,209,302,357,301,142,697,005,134,836,
957,273,789,002,486,684,649,102,006,292,191,675,984,207,042,165,807,868,786,
302,698,890,857,362,721,327,213,719,890,501,922,162,097,948,433,308,128,261,
677,780,895,775,474,659,924,086,443,967,329,584,818,735,133,378,333,125,120,
509,440,140,914,165,255,021,225,788,091,219,219,786,061,259,555,078,484,483,
146,750,895,996,134,075,567,227,142,834,998,136,781,068,536,499,315,360,189,
106,754,946,861,206,164,671,966,932,987,329,216,851,891,662,697,290,655,610,
142,237,224,170,801,402,288,758,544,091,841,678,465,048,208,864,864,624,994,
658,067,442,978,794,190,667,803,834,256,272,613,671,279,128,129,194,579,413,
017,219,004,028,092,826,473,819,887,816,669,717,411,816,907,403,757,792,504,
115,168,002,610,489,398,210,584,593,584,058,907,402,174,370,128,786,315,588,
076,096,300,250,759,785,696,208,392,993,753,310,992,127,544,339,599,333,249,
002,341,559,610,927,081,792,183,225,922,929,033,148,935,885,326,703,636,369,
670,394,203,888,401,284,834,797,239,596,982,536,475,208,978,935,841,587,472,
930,096,487,200,109,797,333,965,551,729,348,803,339,995,898,471,145,208,044,
489,064,688,898,122,054,381,910,903,537,094,695,832,009,763,944,373,299,767,
941,701,636,910,584,916,756,296,355,402,896,191,575,263,049,014,137,973,399,
596,415,008,477,404,591,878,465,339,241,721,935,453,270,805,012,997,233,077,
951,010,665,895,075,016,204,086,709,390,078,240,806,612,768,822,766,532,555,
638,890,354,540,681,505,137,108,137,558,307,590,021,763,867,149,537,123,838,
215,082,555,572,240,405,543,600,194,800,806,978,128,545,218,568,744,695,150,
171,119,200,433,762,083,862,163,264,631,068,767,852,328,605,802,056,914,734,
013,579,563,139,191,883,518,324,850,854,875,491,843,690,751,401,671,683,487,
070,124,270,256,204,956,245,255,393,717,653,764,946,679,915,824,402,246,183,
899,243,056,536,020,534,870,477,490,040,402,127,753,259,858,721,607,482,702,
114,071,376,384,779,360,520,014,509,401,300,230,640,411,103,387,796,371,644,
973,379,544,900,929,453,985,489,153,187,500,428,630,069,119,241,861,217,741,
212,200,051,718,817,634,714,746,938,888,618,641,368,875,517,944,985,313,982,
421,419,620,172,363,417,180,371,523,760,974,177,893,034,970,106,941,452,914,
808,523,382,409,627,209,233,100,092,582,513,140,331,243,204,496,366,618,621,
413,709,870,871,202,033,069,364,201,540,386,993,660,309,290,511,808,913,984,
181,288,576,440,583,115,831,169,325,027,447,908,160,080,756,687,971,172,052,
124,458,359,877,755,659,208,408,926,163,874,492,774,569,299,233,248,942,274,
602,263,353,879,638,826,497,862,107,993,320,027,443,909,619,582,788,319,654,
573,095,793,234,725,818,329,599,429,637,088,791,321,641,133,312,134,918,013,
803,870,244,444,067,365,094,933,705,604,026,239,677,169,419,857,755,905,480,
046,285,172,695,241,383,631,023,108,404,844,833,167,333,462,907,745,342,566,
925,388,511,656,459,421,054,173,443,383,663,942,622,707,695,230,184,403,381,
516,663,066,338,211,704,429,153,851,342,102,244,487,725,614,049,188,910,193,
479,624,328,141,861,097,376,316,867,645,656,198,695,845,384,829,523,892,001,
662,751,945,069,312,041,001,042,350,539,022,347,846,345,875,268,054,347,188,
266,024,143,463,213,073,042,394,671,954,952,819,641,188,474,580,481,492,583,
915,747,061,814,363,888,841,134,145,118,975,769,117,837,506,477,742,014,446,
046,592,527,391,099,285,033,231,024,260,848,689,533,698,206,812,918,110,917,
871,380,614,449,850,710,773,588,400,980,517,556,056,325,669,222,106,907,658,
921,588,546,733,411,709,819,652,793,127,611,548,663,149,904,743,960,971,862,
237,794,992,363,537,337,353,232,967,888,337,379,411,809,698,428,959,424,083,
920,261,012,548,862,223,613,681,551,782,082,322,538,570,421,816,870,081,967,
164,933,130,247,932,229,884,664,061,491,987,164,356,557,143,955,911,987,885,
070,603,897,471,660,041,457,151,112,225,479,464,293,887,632,126,458,004,139,
450,300,092,873,972,457,412,291,624,897,470,879,623,740,845,755,426,479,335,
330,248,032,415,711,609,499,196,322,705,547,846,518,409,879,444,025,802,007,
848,355,966,587,389,801,756,493,763,189,505,061,269,442,306,827,895,875,518,
452,486,447,728,494,613,323,694,866,405,485,518,109,283,767,658,604,808,010,
447,411,384,655,635,046,552,663,309,096,027,138,812,534,052,715,058,333,804,
147,568,822,311,948,888,272,567,423,206,865,999,170,436,186,634,280,608,981,
306,410,403,125,098,163,307,995,592,392,962,192,018,475,250,693,568,260,143,
666,731,816,478,771,993,172,940,504,003,898,329,423,919,483,425,571,025,015,
169,208,405,896,103,078,175,772,433,177,220,351,214,181,239,634,807,768,876,
583,767,694,120,656,154,536,263,829,997,645,458,989,678,593,779,906,489,393,
497,576,179,966,607,722,291,334,243,070,436,737,928,727,380,713,192,987,027,
331,826,631,909,195,932,504,176,802,385,253,484,696,477,867,271,087,800,869,
100,974,672,204,706,475,299,757,652,592,705,788,280,127,145,148,970,388,054,
589,105,898,929,580,316,396,926,654,201,829,475,052,142,464,642,492,433,354,
811,485,161,420,004,330,440,388,257,057,101,945,412,865,660,276,661,592,548,
638,474,896,941,919,983,668,454,643,067,447,117,109,285,512,765,510,992,996,
330,266,676,164,395,138,586,052,132,319,621,331,598,296,169,907,763,349,340,
972,599,030,694,727,375,971,845,179,959,996,755,607,014,051,938,358,963,175,
089,444,810,517,839,527,836,649,551,429,480,267,541,431,828,755,443,869,648,
189,795,045,105,000,183,603,968,566,533,089,744,868,988,394,107,154,689,718,
955,436,653,152,011,385,069,807,077,363,802,442,995,919,210,725,411,976,067,
227,401,777,128,462,017,352,948,119,343,858,522,455,229,063,164,597,492,862,
498,443,907,407,709,860,449,557,449,927,021,207,970,159,829,522,115,119,789,
674,757,682,298,595,759,179,761,104,633,505,653,039,065,049,094,804,994,723,
952,146,872,358,407,051,577,429,471,349,930,050,917,180,983,269,912,052,151,
213,636,908,290,860,222,336,879,243,968,592,990,572,639,941,009,771,975,122,
992,657,728,076,857,237,183,638,598,264,908,935,693,493,286,905,107,833,425,
405,178,540,212,160,373,197,900,388,305,810,062,119,245,588,137,597,784,520,
766,844,969,617,416,328,873,632,319,347,056,867,063,403,088,372,615,014,704,
342,400,130,634,612,738,105,880,596,759,561,587,565,473,332,430,378,056,721,
757,658,203,560,098,413,331,736,888,377,634,147,708,139,561,196,118,827,520,
035,489,840,545,939,234,156,711,380,731,146,158,741,866,648,537,791,918,467,
723,221,520,463,537,044,810,010,480,934,026,092,287,842,629,285,355,165,457,
071,508,309,086,596,021,606,710,342,453,637,830,867,667,216,110,026,445,166,
017,030,003,504,019,927,731,362,775,617,469,619,632,788,850,601,659,860,839,
344,711,861,678,514,386,724,917,037,569,750,523,201,331,555,643,860,085,424,
157,880,877,524,415,915,856,964,283,820,594,732,148,639,828,129,025,974,007,
590,350,182,505,111,072,377,462,968,452,550,943,957,657,287,765,983,173,492,
594,728,607,497,904,413,689,313,685,830,364,511,052,547,239,183,396,184,196,
542,433,113,963,040,781,107,634,718,471,653,128,485,440,955,811,111,787,108,
746,362,021,238,685,190,816,512,312,410,671,080,638,454,112,750,925,289,402,
199,700,151,614,692,749,371,593,938,358,499,492,389,448,458,827,235,039,909,
832,824,993,667,025,965,001,456,356,121,670,649,295,817,701,354,838,043,986,
376,439,933,935,439,802,107,661,287,355,876,845,097,119,873,598,885,946,163,
060,474,988,751,427,062,628,052,333,522,822,027,427,650,243,031,094,023,714,
366,607,210,012,913,931,354,650,755,804,748,612,022,072,274,135,256,880,973,
024,402,476,684,056,432,090,840,833,978,145,855,972,177,117,457,780,757,592,
578,573,925,559,583,736,609,015,273,985,748,143,417,018,009,770,791,553,576,
241,835,988,177,120,838,603,183,764,831,385,679,482,948,756,616,418,053,258,
028,554,259,796,531,092,199,018,613,198,779,616,944,405,744,610,195,286,841,
860,607,889,737,349,852,376,728,766,494,989,349,534,248,355,595,247,716,799,
464,084,183,170,350,450,755,566,464,098,477,440,262,172,677,695,450,844,364,
130,545,305,516,019,322,595,649,767,331,426,283,695,847,033,060,685,175,227,
145,684,494,985,333,773,883,922,303,438,858,234,064,126,410,819,767,831,883,
066,867,692,693,333,803,285,078,597,558,528,600,926,914,104,101,930,713,441,
536,274,239,665,731,246,576,417,630,693,675,832,762,421,917,339,703,416,630,
241,058,893,992,362,494,152,121,779,414,207,895,097,218,478,203,867,100,588,
393,049,788,094,860,972,460,209,353,976,808,715,545,253,313,103,764,850,618,
888,762,695,135,784,740,259,484,955,714,899,656,351,412,970,475,630,052,133,
590,711,343,135,292,055,686,102,176,584,873,673,788,138,256,801,048,813,773,
965,756,597,424,438,653,463,882,746,903,080,092,760,460,522,752,883,538,210,
058,292,816,684,659,997,934,472,924,875,545,947,444,540,502,655,397,494,208,
981,508,057,372,548,646,912,940,608,564,842,015,586,578,997,285,888,647,712,
070,403,644,687,078,791,124,579,004,701,013,732,431,325,748,243,599,316,644,
888,313,362,274,098,022,483,382,746,535,293,582,711,458,487,152,927,509,679,
808,586,795,837,581,568,266,979,031,728,056,359,845,163,739,753,130,175,220,
218,106,588,201,809,702,062,104,195,513,134,309,154,230,648,040,369,899,161,
996,183,210,527,477,067,609,095,838,673,401,474,374,312,417,331,480,288,676,
474,020,144,910,417,005,827,205,980,534,498,262,578,667,987,372,690,685,147,
692,920,739,891,281,295,485,361,585,919,039,510,063,311,353,622,900,740,224,
385,451,991,143,244,292,972,322,598,937,137,862,698,159,152,237,305,384,570,
569,054,639,790,776,662,904,088,734,957,138,452,082,437,426,369,778,856,340,
329,074,666,965,875,775,627,951,460,775,674,364,008,102,293,394,053,137,847,
294,318,981,463,008,171,423,189,783,924,559,942,036,847,589,509,784,508,645,
107,012,720,186,225,809,100,385,490,767,553,455,665,227,216,472,306,958,964,
857,855,816,653,298,826,053,952,390,961,083,245,379,872,612,283,192,836,000,
909,168,283,041,177,164,292,767,989,113,366,821,084,804,975,001,000,640,971,
045,249,611,720,763,716,303,707,256,392,611,147,870,583,617,406,822,395,692,
815,377,740,851,711,713,119,037,296,877,731,158,602,764,387,400,228,234,102,
069,544,023,198,835,490,738,082,132,452,235,196,324,147,225,615,038,743,393,
930,635,092,457,258,029,359,020,808,497,721,436,499,998,002,963,295,865,392,
711,557,258,419,725,777,121,139,841,877,762,753,521,848,834,445,841,910,731,
387,837,393,083,562,870,630,508,805,647,868,399,414,995,442,774,313,719,027,
850,520,208,985,635,076,819,422,531,683,082,677,699,248,944,488,890,724,266,
852,713,063,689,697,696,739,634,304,207,495,482,769,360,275,311,640,687,916,
137,187,634,104,743,431,802,582,911,087,328,224,207,510,095,773,044,053,078,
124,035,006,940,210,812,530,313,616,721,931,049,015,544,858,777,285,162,558,
458,492,276,472,554,178,623,134,961,413,528,674,959,471,691,111,545,382,273,
178,959,179,911,485,672,503,859,454,395,764,974,498,458,107,062,008,383,389,
596,785,029,556,779,717,896,316,827,945,799,931,592,066,053,855,212,423,751,
242,106,279,692,703,880,636,760,724,460,024,460,887,943,184,807,487,112,966,
389,852,712,304,070,150,820,204,875,338,127,135,468,316,717,152,186,913,885,
017,781,895,289,903,586,695,213,110,848,796,747,089,388,692,788,961,369,529,
226,475,877,100,625,237,411,597,431,188,418,984,994,802,546,199,667,336,766,
293,243,090,266,557,963,341,253,335,119,635,126,055,290,939,940,874,823,739,
846,163,031,686,393,992,521,647,203,677,721,342,339,398,995,331,793,318,178,
391,792,368,781,148,055,586,947,482,273,615,597,278,818,392,758,589,455,715,
398,052,265,256,511,991,008,963,061,517,341,849,574,352,521,575,855,373,441,
593,157,452,835,535,167,785,361,856,935,371,318,428,715,461,756,477,185,709,
487,727,284,692,820,724,361,001,000,345,740,124,003,068,031,697,140,483,709,
205,212,660,185,507,771,762,270,877,804,102,841,740,276,170,011,699,746,435,
052,586,853,306,831,036,054,454,740,403,363,935,201,610,713,355,881,319,388,
054,935,013,115,203,725,629,730,639,828,457,495,558,994,781,993,464,353,410,
221,348,733,520,659,429,891,640,780,491,809,776,577,164,399,034,094,020,930,
166,522,117,728,232,775,587,465,201,965,013,350,993,569,052,437,715,104,366,
260,359,178,409,134,436,575,864,515,562,645,200,490,594,032,332,990,147,938,
439,527,960,857,221,422,826,816,908,113,387,233,839,824,484,408,868,194,154,
366,857,717,742,200,486,342,686,835,560,907,011,817,944,069,248,960,971,627,
727,859,383,320,934,697,803,112,132,476,410,346,642,753,574,899,304,320,715,
517,596,135,242,202,565,900,630,936,585,878,920,680,721,929,592,283,820,790,
806,122,687,550,652,333,025,468,911,089,358,905,305,535,109,289,451,692,292,
190,512,623,825,504,484,524,314,888,210,131,164,159,508,834,128,209,269,055,
249,661,090,167,804,849,460,967,997,024,604,591,806,876,539,183,398,677,203,
924,004,880,972,953,144,386,220,068,975,554,766,545,176,387,999,593,172,398,
006,665,452,856,874,190,620,093,399,423,199,800,757,104,103,032,111,905,357,
615,166,563,849,555,128,206,409,159,810,436,747,912,322,623,961,145,250,980,
871,970,442,132,150,812,432,547,620,617,171,932,778,759,813,827,828,930,648,
876,693,134,931,357,368,181,162,972,412,118,216,204,761,804,759,349,802,166,
857,253,596,377,085,987,759,608,216,012,757,148,682,920,092,733,741,878,142,
979,607,580,562,162,117,387,133,044,898,632,371,067,960,419,069,376,483,667,
501,318,660,808,169,195,122,652,704,654,892,814,254,945,015,378,999,579,182,
798,943,769,492,899,260,263,326,493,371,868,210,438,193,952,063,453,919,803,
787,561,892,007,243,034,558,488,012,054,268,378,761,193,937,688,987,478,435,
691,428,373,075,237,711,233,568,982,350,117,955,673,986,111,463,950,780,552,
072,849,405,861,810,592,858,251,312,113,349,947,583,720,876,688,396,431,532,
595,174,374,603,809,247,202,399,662,125,304,958,333,043,946,407,597,525,507,
183,008,740,272,711,192,497,083,569,174,556,242,040,247,329,287,612,829,360,
770,073,418,013,929,486,606,239,954,962,456,675,306,941,557,915,683,004,363,
385,923,850,957,293,564,192,068,327,122,635,651,893,563,605,897,142,865,997,
081,959,744,477,889,820,356,830,369,604,607,271,284,454,913,246,094,465,480,
917,337,035,803,976,796,034,122,077,208,899,513,621,830,545,451,945,974,514,
383,654,126,906,155,487,172,509,656,905,354,264,609,981,859,879,984,588,738,
089,988,551,798,823,822,621,702,165,539,662,171,594,633,295,868,329,422,841,
321,977,245,669,663,909,131,871,641,124,107,328,326,168,173,086,312,882,920,
784,676,148,457,469,877,085,092,192,664,154,329,743,317,242,239,215,374,059,
903,287,416,801,646,244,537,303,915,205,285,487,291,671,173,643,523,503,766,
353,427,542,104,333,038,110,723,672,212,109,259,048,346,192,939,158,347,895,
806,690,061,346,108,192,282,133,750,988,791,392,060,065,144,859,758,352,645,
745,651,736,889,536,208,609,104,966,082,423,314,277,457,930,232,229,819,256,
184,395,237,657,584,437,676,296,888,883,123,745,376,465,650,986,701,190,945,
426,356,125,545,822,996,545,547,798,705,385,457,519,220,778,768,620,082,183,
206,159,405,229,850,107,901,653,242,729,749,100,948,464,528,640,530,527,754,
322,586,361,085,410,211,396,054,460,133,195,323,700,813,036,674,723,844,247,
778,880,322,625,804,869,138,702,014,434,807,140,732,765,638,716,647,432,981,
882,913,793,465,624,616,812,336,728,462,836,265,700,238,737,485,726,109,540,
406,123,743,386,014,692,084,671,696,193,888,435,906,694,048,660,549,306,597,
323,297,677,719,400,380,627,606,058,746,787,237,760,053,041,143,547,550,882,
052,304,574,936,749,223,736,012,762,160,229,127,023,491,317,716,169,083,290,
972,979,074,042,161,244,956,605,879,663,456,641,504,750,133,845,414,254,571,
793,191,774,481,162,919,702,283,989,648,538,532,066,896,595,898,890,316,036,
050,288,844,568,044,379,082,046,509,720,218,124,461,415,512,820,393,794,894,
937,801,885,007,756,468,234,633,796,481,891,832,948,930,163,033,334,237,211,
910,122,990,052,821,536,139,271,447,736,270,513,596,216,167,620,697,236,004,
578,181,550,867,754,372,879,785,125,239,131,391,795,081,798,950,353,581,526,
326,680,514,864,117,591,946,587,262,015,761,078,625,701,041,793,292,792,658,
990,637,941,189,992,713,859,112,148,853,231,042,065,556,925,403,144,870,016,
151,304,254,060,230,276,387,982,164,931,025,607,759,225,907,544,326,137,630,
992,209,497,895,575,582,733,710,467,200,607,837,808,962,060,119,680,531,138,
120,091,985,819,192,845,764,260,634,850,160,103,838,329,662,794,089,460,345,
510,853,625,018,092,617,614,668,943,094,291,415,159,124,015,541,880,598,136,
729,049,252,229,675,833,361,616,279,190,166,827,624,011,137,541,071,516,421,
992,740,129,498,061,450,658,087,319,401,831,438,010,017,208,412,659,587,098,
361,291,996,742,721,010,134,180,188,944,127,078,134,489,666,931,521,210,288,
522,234,087,635,277,836,157,492,992,499,580,250,735,780,331,159,596,416,118,
187,557,893,721,264,509,819,530,222,655,527,902,195,127,495,112,839,876,840,
477,610,850,109,711,904,369,219,010,092,662,140,598,315,390,789,196,771,360,
446,428,581,615,921,862,500,110,322,494,250,884,885,124,048,085,509,396,892,
921,207,876,703,395,732,851,121,241,936,712,634,367,720,333,449,863,290,546,
344,150,362,348,680,931,021,183,388,115,202,950,229,139,854,838,746,312,678,
358,651,958,520,930,613,906,289,444,146,938,940,876,372,529,901,129,207,364,
309,048,990,356,531,270,398,659,320,202,085,083,441,994,895,533,146,584,454,
154,370,760,401,052,079,149,606,906,008,176,427,582,280,865,550,921,877,402,
963,393,752,412,183,935,860,649,996,099,451,467,802,894,421,016,828,705,254,
677,230,207,440,220,268,376,106,998,050,237,877,472,025,741,008,115,077,767,
509,626,232,000,229,526,573,950,858,811,933,581,496,276,410,396,040,650,824,
815,267,335,203,982,262,493,363,863,284,325,985,379,596,884,378,187,900,439,
317,545,873,257,542,882,773,536,827,863,084,803,468,820,632,546,181,593,660,
817,181,996,137,195,282,245,940,064,851,643,212,953,950,852,973,511,572,796,
087,119,405,411,739,988,762,384,610,313,099,955,155,345,607,189,755,971,065,
859,182,810,938,782,047,507,506,959,528,013,859,706,660,622,345,354,936,538,
247,020,274,444,091,647,320,907,118,059,709,983,641,351,920,886,207,373,483,
654,452,507,915,411,413,160,290,164,625,092,709,039,393,024,897,511,090,479,
356,211,350,983,677,670,790,964,585,397,949,374,019,013,666,938,612,579,249,
258,774,796,720,404,432,349,737,249,416,602,626,207,678,684,364,655,830,906,
364,001,370,232,653,103,299,840,107,608,415,730,099,523,074,110,601,024,094,
056,513,995,418,200,438,735,319,377,912,113,587,997,010,645,492,387,602,398,
763,859,811,861,248,323,396,334,177,874,282,556,595,879,412,958,550,245,980,
486,885,378,835,003,387,152,826,320,041,263,286,408,763,737,670,604,302,365,
488,020,804,944,303,237,639,170,507,145,634,404,963,913,026,259,696,435,815,
421,441,176,113,027,848,613,324,287,157,349,606,856,669,024,833,342,450,265,
805,965,414,418,783,487,566,463,967,573,075,360,906,310,377,342,746,306,678,
800,238,363,914,597,274,019,226,362,847,848,609,773,500,381,385,942,112,362,
231,477,794,954,623,331,049,773,592,374,163,515,384,210,807,639,306,484,473,
159,873,373,211,302,649,000,391,266,897,381,658,815,283,871,010,346,358,541,
624,515,548,190,334,632,126,968,250,896,649,195,696,824,158,170,753,963,733,
163,363,394,495,605,471,493,656,269,751,284,808,990,264,286,093,790,400,585,
398,361,105,050,291,495,544,295,213,967,907,891,238,865,464,618,969,883,353,
172,717,741,375,865,763,106,776,196,872,779,667,857,000,633,150,289,301,067,
933,841,568,159,278,962,132,084,776,695,026,309,126,028,311,629,411,671,096,
357,433,804,814,131,501,182,009,604,036,380,920,240,624,938,613,938,839,702,
677,718,360,464,351,946,246,060,817,826,330,959,130,550,954,423,156,544,638,
861,475,460,474,788,203,545,375,860,975,413,244,030,096,871,876,302,439,538,
745,932,034,038,690,901,752,844,828,855,755,485,088,905,973,527,890,927,034,
056,265,284,250,801,252,298,959,866,288,561,341,255,078,236,444,211,840,479,
364,244,359,242,696,536,624,698,931,750,425,299,564,883,183,115,670,730,728,
970,297,023,984,545,826,091,268,168,867,112,320,102,442,607,974,003,918,853,
634,692,282,788,143,668,882,916,779,764,626,419,218,006,967,710,259,373,276,
657,881,696,190,815,575,247,730,133,278,689,969,500,756,008,824,975,692,658,
581,463,391,171,672,686,278,434,713,029,422,567,335,878,440,971,992,736,472,
046,912,669,811,299,338,084,257,462,512,246,928,331,872,789,581,769,758,563,
659,410,818,637,444,450,126,640,604,313,572,386,059,805,288,418,959,796,354,
393,796,198,376,966,368,019,924,276,221,519,876,584,920,218,929,475,224,799,
408,242,795,710,707,736,698,244,394,592,700,038,167,094,130,344,589,346,908,
977,284,116,295,962,835,699,788,928,816,336,945,030,159,447,235,038,321,622,
501,065,607,605,226,702,941,554,420,063,277,091,530,185,558,413,915,781,266,
206,563,712,084,268,150,772,682,685,660,892,666,474,033,290,331,606,133,351,
215,242,811,418,886,649,129,028,751,228,293,953,855,923,561,563,533,576,298,
459,643,174,094,072,654,091,779,443,866,894,326,981,514,921,256,369,134,891,
175,972,508,186,499,846,095,114,725,788,800,998,018,945,652,656,697,347,875,
466,928,316,285,540,227,347,082,989,828,936,690,524,748,307,672,458,068,475,
326,936,173,686,723,857,074,856,497,504,546,868,749,327,979,560,491,320,339,
596,202,169,837,152,882,028,847,129,604,743,826,213,723,597,596,350,252,140,
881,910,841,144,382,448,981,397,104,818,222,127,620,005,603,101,573,470,630,
675,934,705,860,822,560,038,435,257,782,177,822,998,638,129,293,102,458,530,
033,157,286,180,438,204,953,217,422,590,195,349,308,578,175,352,780,457,223,
073,214,961,790,308,111,421,555,792,776,521,718,447,420,872,785,038,201,337,
307,399,462,661,604,955,824,971,250,322,541,890,409,427,084,781,206,550,917,
522,618,658,649,397,361,634,781,104,126,127,654,898,707,740,137,804,414,270,
286,860,300,579,516,848,544,835,266,196,045,136,058,201,645,544,722,791,663,
460,959,139,576,000,818,665,845,211,981,666,172,385,835,039,713,031,063,657,
645,784,331,101,967,939,050,912,910,998,132,329,236,895,476,186,032,239,960,
670,076,576,140,722,219,898,545,569,249,306,093,951,052,908,218,558,819,624,
588,832,199,590,747,781,614,047,655,057,101,564,830,999,979,921,188,316,585,
806,586,676,268,728,639,327,727,360,903,001,581,706,375,399,926,639,063,646,
817,054,581,846,891,517,446,485,950,015,315,014,657,287,720,601,802,605,299,
025,490,055,439,058,156,118,766,250,357,001,853,786,958,424,865,764,793,836,
398,902,249,866,388,561,257,991,930,797,928,249,051,355,547,955,105,721,182,
326,161,834,477,004,505,372,421,336,244,273,728,936,965,258,116,085,243,779,
323,110,581,912,796,740,845,960,449,732,341,438,183,273,514,406,545,692,587,
711,786,897,351,602,630,518,839,749,550,189,468,122,914,684,623,346,727,136,
213,183,119,598,537,209,521,389,933,123,903,269,657,189,116,699,655,138,836,
151,342,902,751,029,411,966,231,762,770,572,411,941,150,030,319,709,111,389,
444,109,807,397,098,321,999,849,660,250,642,993,827,900,924,995,670,491,962,
839,755,061,868,004,932,821,859,695,120,624,013,973,067,763,341,844,800,605,
262,866,108,302,529,658,613,836,353,845,268,850,446,552,433,735,450,319,053,
706,150,219,903,829,664,176,542,277,836,779,272,440,914,343,693,205,534,755,
738,059,339,428,123,546,255,107,879,489,698,548,121,747,172,935,458,741,235,
245,570,200,470,883,992,408,511,350,130,917,924,233,588,138,571,361,302,330,
444,778,531,065,568,608,359,508,582,613,586,263,992,159,963,716,791,369,016,
098,881,382,478,093,802,236,707,953,826,966,143,400,279,270,448,273,036,318,
523,435,422,193,814,392,077,004,822,042,273,268,984,162,837,616,569,275,006,
640,988,571,856,511,123,064,594,074,155,075,585,126,833,640,743,918,129,614,
122,023,679,943,243,939,912,864,074,711,788,159,002,653,065,349,982,038,686,
832,978,371,085,548,165,801,768,938,958,461,147,558,445,456,522,252,649,323,
339,060,763,107,720,152,332,106,846,151,766,621,570,573,537,367,976,432,615,
122,384,458,871,617,243,558,071,963,712,277,045,677,017,477,938,600,945,989,
580,779,074,345,136,694,525,239,107,725,636,060,719,071,886,433,968,701,789,
721,007,423,478,385,147,895,832,056,617,614,858,870,015,713,721,343,213,041,
207,143,686,025,342,062,682,390,301,872,924,149,160,715,558,550,729,625,087,
609,764,672,597,280,166,583,813,826,376,443,876,256,212,323,195,876,539,907,
951,660,795,102,050,448,248,786,628,998,811,876,334,131,181,854,678,479,785,
330,460,112,503,685,364,965,294,858,220,429,718,685,316,296,784,293,130,305,
973,817,853,968,032,146,015,846,140,352,136,003,686,703,549,130,572,171,604,
433,775,111,756,950,044,312,507,441,214,222,920,582,951,450,630,277,358,245,
585,695,906,918,769,539,493,396,229,420,683,256,117,751,420,070,735,551,808,
896,053,428,595,551,295,416,448,793,182,075,988,697,581,811,049,788,730,069,
250,802,762,902,178,694,791,293,830,505,216,443,422,159,109,629,770,884,578,
988,272,676,896,943,842,311,856,922,957,283,973,810,957,244,389,486,050,775,
613,330,570,459,725,658,644,421,673,716,628,975,790,064,328,664,456,503,255,
140,990,670,672,298,917,829,546,967,773,953,316,316,439,120,794,405,530,701,
404,793,778,075,549,528,678,144,033,037,325,719,421,979,472,197,814,288,716,
575,504,791,390,317,980,911,061,195,285,129,817,045,577,512,282,067,489,409,
006,866,714,304,919,320,365,694,570,341,437,616,301,002,922,219,794,411,556,
680,337,193,458,414,211,626,714,475,717,571,439,186,754,753,771,603,561,408,
724,116,925,075,568,154,610,729,231,081,944,391,836,255,515,364,071,028,907,
236,093,696,348,748,214,913,451,817,446,790,309,093,993,619,921,695,383,234,
802,806,715,247,163,882,543,978,769,514,676,563,344,857,118,529,050,966,578,
535,590,430,470,211,385,052,967,846,804,135,563,620,499,063,609,185,709,834,
794,483,438,754,807,074,324,384,092,159,538,561,502,036,798,519,864,122,413,
702,804,777,030,118,241,446,765,990,500,764,179,193,952,970,236,138,098,530,
062,632,738,810,544,086,148,778,967,511,553,947,206,404,954,572,169,722,595,
959,366,671,097,131,120,686,903,741,960,192,286,969,540,576,390,526,838,359,
146,517,019,569,028,081,217,731,967,136,586,009,180,995,362,676,118,284,459,
056,802,594,144,181,186,448,838,881,565,017,604,607,710,480,984,038,557,399,
121,658,119,483,707,583,562,997,532,587,655,623,484,521,064,680,589,835,949,
897,922,119,362,833,811,716,944,957,589,482,946,890,843,260,413,159,902,581,
282,754,410,316,935,657,763,720,939,987,752,643,500,964,706,518,411,881,179,
058,469,327,379,478,845,598,388,706,610,317,411,949,831,785,270,874,415,527,
193,632,068,899,752,407,694,237,482,300,227,702,438,551,328,064,300,188,918,
888,074,718,746,381,996,751,036,580,978,712,928,905,361,335,755,976,953,017,
530,776,782,828,792,769,097,136,639,178,416,078,545,459,898,713,813,953,341,
298,203,315,107,291,658,120,065,443,757,296,416,337,998,186,385,757,651,926,
170,206,746,612,854,927,623,956,396,963,989,226,270,052,464,816,209,762,442,
107,994,503,409,820,253,957,314,910,493,390,576,125,900,052,468,944,488,832,
570,019,614,794,586,633,064,032,182,580,877,451,872,838,029,388,102,554,763,
330,863,751,982,614,907,353,060,193,518,512,099,123,526,716,831,666,813,447,
382,863,355,894,193,133,559,155,289,944,640,043,439,108,712,290,037,236,666,
156,072,581,339,877,717,518,516,573,000,124,061,030,067,391,700,236,399,632,
622,142,248,430,124,706,066,145,671,694,398,092,260,036,578,426,419,727,844,
701,901,552,874,152,967,586,484,650,836,182,050,890,304,309,580,320,278,113,
287,498,966,489,573,752,107,596,182,937,601,774,232,728,127,623,987,255,864,
396,963,346,191,081,701,071,581,299,642,583,946,513,894,933,167,297,060,205,
078,365,192,883,595,930,293,604,903,414,813,848,377,212,611,677,960,658,646,
383,731,221,209,615,523,997,665,762,815,856,507,992,797,284,893,464,330,146,
447,555,091,765,946,111,265,738,147,213,415,445,642,572,456,272,510,617,833,
005,226,561,941,670,049,829,682,518,319,297,259,375,178,978,435,041,859,910,
673,942,860,820,389,957,778,050,824,470,367,206,741,500,981,179,833,661,068,
891,676,500,797,560,572,143,800,848,500,546,322,558,626,120,710,402,890,701,
403,224,059,086,570,526,672,883,052,654,664,863,055,735,842,403,169,924,913,
364,289,541,917,667,033,238,677,991,147,771,493,023,722,870,967,148,099,742,
538,140,577,444,466,201,983,679,390,271,060,957,338,109,283,117,923,919,140,
880,066,588,664,127,210,909,296,867,164,586,717,401,546,369,276,155,566,420,
326,084,249,676,256,986,650,483,237,085,567,563,176,457,063,573,054,774,472,
905,832,903,928,094,196,198,704,037,212,674,728,247,089,115,361,147,930,089,
177,373,131,656,548,918,634,301,418,686,009,522,837,541,171,552,943,785,693,
390,914,688,531,434,119,406,901,344,950,444,039,977,761,298,018,978,660,349,
454,993,740,491,300,927,636,303,868,185,291,428,549,257,293,934,460,593,029,
421,687,099,699,090,090,692,554,407,517,155,234,910,885,986,754,383,215,134,
477,501,938,926,992,942,518,080,098,770,425,388,888,212,565,061,133,375,548,
809,235,380,679,868,914,406,603,533,285,097,042,288,405,460,424,236,954,216,
339,143,452,857,454,019,619,567,285,933,727,181,372,345,050,055,711,379,819,
988,451,951,339,190,112,755,887,357,463,533,397,391,753,775,849,905,396,155,
676,719,633,477,847,999,762,082,910,539,959,003,410,931,780,773,106,389,222,
669,316,063,727,935,474,100,388,245,197,799,015,472,885,766,236,379,137,017,
900,012,126,547,968,474,788,714,469,220,241,177,070,316,298,029,023,741,269,
718,565,483,616,150,399,943,562,516,963,317,753,290,400,410,857,706,640,476,
141,015,822,435,849,760,602,358,601,478,164,087,988,917,827,492,638,410,633,
754,438,213,162,076,180,105,122,126,300,420,058,438,893,502,475,904,361,088,
013,225,307,857,394,437,915,068,584,762,602,596,723,755,559,696,846,579,113,
728,190,374,898,047,181,516,856,761,849,033,791,623,154,463,465,171,435,521,
647,684,838,356,093,149,362,913,795,665,940,053,788,487,571,746,940,773,066,
146,759,696,889,182,028,267,112,570,955,285,403,309,114,193,072,188,628,940,
020,334,062,862,556,294,628,672,178,710,894,459,680,929,752,832,535,583,817,
913,838,560,516,567,762,202,692,031,712,882,271,622,908,231,848,097,464,271,
033,605,996,108,250,657,172,523,167,065,792,596,481,176,858,305,084,606,719,
837,064,398,191,831,680,427,552,672,301,844,691,745,698,668,881,885,138,192,
919,860,812,790,808,640,618,594,222,987,038,085,190,296,372,889,217,405,990,
481,047,870,032,308,213,338,771,670,898,008,714,483,777,307,124,969,739,188,
932,668,808,310,500,267,523,533,111,893,198,183,111,999,844,094,812,010,747,
238,434,830,991,716,675,205,294,523,733,422,077,773,966,737,503,788,952,705,
906,992,607,751,987,789,438,655,272,590,337,723,086,831,144,432,281,699,779,
365,586,964,304,021,893,432,465,543,252,164,398,289,058,853,570,073,394,091,
562,704,369,186,151,022,249,360,248,591,089,686,731,890,491,667,237,569,643,
229,868,358,740,648,029,392,745,339,035,216,613,684,470,710,636,216,612,251,
433,426,224,343,189,444,318,049,048,339,461,520,762,138,929,788,625,024,950,
522,834,754,384,529,667,949,826,438,495,084,683,986,760,207,776,851,471,648,
109,501,352,711,119,321,918,310,363,544,153,021,055,562,817,333,892,367,490,
221,871,498,611,288,260,869,854,250,871,249,445,843,732,782,966,078,117,328,
325,688,404,385,796,438,866,382,373,908,888,587,228,574,441,012,580,493,960,
163,156,975,702,134,102,009,241,634,495,422,235,243,741,574,977,669,262,135,
021,629,420,286,920,812,583,137,209,300,296,787,778,053,697,536,596,112,500,
183,096,158,063,873,072,604,489,056,985,673,697,555,199,875,780,095,053,827,
396,006,134,960,591,220,566,915,384,577,371,893,184,926,804,921,008,309,308,
506,016,480,126,604,750,550,021,945,160,501,064,472,517,949,444,197,098,851,
217,273,128,485,587,930,523,864,495,987,903,418,950,542,919,858,915,679,077,
342,209,163,171,326,040,812,605,390,073,336,071,994,113,439,693,920,886,163,
349,422,128,546,749,834,078,899,384,608,406,532,067,754,889,859,186,683,933,
513,451,030,883,766,519,670,916,024,708,046,739,980,389,744,294,639,307,290,
257,669,210,870,558,667,629,499,049,077,891,487,660,230,642,029,542,592,995,
413,314,432,763,689,455,098,639,218,464,188,162,125,278,172,818,353,869,457,
974,539,561,516,526,197,766,982,954,201,436,081,900,841,191,212,486,655,803,
410,412,238,521,266,032,296,474,238,999,689,261,407,873,971,133,201,617,419,
461,866,400,300,090,035,190,330,559,513,417,486,454,542,111,172,460,559,471,
447,797,476,387,878,417,116,266,235,567,526,096,051,628,736,089,673,264,232,
466,074,941,667,123,470,277,503,145,768,340,664,729,705,938,368,667,421,177,
379,134,437,367,864,822,019,642,878,239,970,433,732,844,529,270,558,333,291,
336,948,090,054,522,397,762,154,217,124,279,321,356,026,383,780,077,783,464,
802,460,327,552,034,482,767,679,499,507,440,025,507,794,583,361,682,681,886,
188,819,509,829,366,759,245,654,090,936,485,271,077,869,623,659,847,971,374,
259,941,679,326,698,954,827,113,097,704,109,309,764,709,232,967,392,461,580,
951,417,708,879,807,264,768,576,184,535,901,549,748,903,930,454,710,141,548,
455,074,480,949,905,331,076,262,453,969,808,130,834,401,827,953,734,715,607,
412,666,323,895,832,613,621,534,290,272,440,199,321,880,089,503,213,776,682,
756,664,328,451,833,816,605,395,704,641,861,369,182,233,728,486,415,577,571,
922,202,137,666,755,681,963,949,242,400,367,914,210,918,230,580,252,147,217,
953,393,392,449,921,453,919,837,035,081,764,117,359,828,782,196,314,188,434,
894,065,512,546,397,408,368,619,549,650,333,461,287,599,619,429,266,294,136,
790,363,275,453,346,220,650,800,960,371,921,053,138,420,550,781,760,143,789,
731,287,961,669,564,512,645,011,547,986,100,819,014,999,624,824,433,348,488,
587,677,025,911,830,952,481,908,289,218,097,779,748,075,946,945,905,755,819,
896,084,157,493,090,521,764,844,763,701,713,707,817,171,737,012,590,299,244,
717,010,384,216,919,219,778,648,104,859,674,012,284,363,868,376,249,151,051,
149,910,337,207,993,915,488,185,169,159,113,392,006,859,736,549,904,374,806,
506,329,947,389,850,153,345,839,448,397,287,759,204,924,652,307,298,430,655,
884,756,683,098,183,177,083,603,428,289,346,913,128,793,822,433,493,748,972,
790,821,911,034,598,488,553,374,733,489,993,739,266,408,775,739,630,062,748,
791,989,506,007,929,324,124,661,124,146,391,391,642,184,801,899,254,130,181,
186,487,878,878,921,416,354,695,459,818,973,674,934,031,812,666,041,729,149,
831,445,253,613,876,747,726,309,697,048,681,062,104,416,779,229,748,244,954,
755,096,450,567,851,659,982,889,834,851,545,096,457,426,947,683,220,813,120,
861,615,480,274,085,729,773,761,980,026,929,604,962,159,996,310,325,914,098,
369,674,008,752,938,698,219,254,710,005,859,768,424,711,772,843,146,337,493,
589,193,471,015,814,830,562,403,525,216,335,164,547,948,868,686,437,623,311,
768,392,597,151,552,442,246,164,101,215,369,282,453,010,622,846,875,449,889,
978,377,676,860,639,052,138,528,209,853,594,515,891,563,533,705,640,328,950,
347,601,560,887,893,682,761,906,431,999,757,085,909,931,929,543,654,819,556,
717,535,820,329,784,437,018,337,580,629,676,039,925,463,143,999,022,161,165,
492,206,043,576,584,133,446,242,406,532,978,500,969,708,036,099,770,283,887,
936,995,425,115,775,071,124,050,576,975,988,300,299,737,558,233,967,050,527,
625,090,563,916,669,326,912,028,566,324,261,487,507,455,593,708,845,004,371,
853,009,356,102,986,799,964,932,778,440,159,662,204,640,080,746,243,607,553,
487,777,376,816,374,031,354,842,372,524,477,317,367,309,415,749,572,331,037,
188,156,333,793,877,187,165,947,658,489,322,391,034,256,919,748,831,387,425,
404,607,158,750,763,114,301,208,906,917,618,462,615,691,322,465,433,247,341,
141,508,050,901,472,931,264,426,016,103,794,681,466,892,268,519,602,848,496,
973,497,067,712,524,466,490,764,255,021,694,998,692,278,146,464,210,503,532,
033,910,136,639,905,522,623,901,069,543,316,656,333,810,104,659,971,299,828,
584,697,604,449,422,957,006,035,642,439,623,835,126,335,739,937,509,282,095,
180,368,372,355,883,759,010,230,402,149,997,284,941,790,526,207,133,621,874,
918,111,394,286,505,214,498,078,346,317,312,385,634,821,202,441,197,622,705,
925,937,136,771,460,775,748,592,621,239,215,577,693,091,409,120,577,753,865,
971,767,283,504,355,060,815,969,465,749,672,570,223,274,565,640,312,433,746,
180,899,742,661,088,661,611,302,939,107,116,861,094,483,640,732,196,942,483,
749,966,822,576,875,049,404,606,394,055,657,063,348,477,582,081,850,582,757,
605,923,405,235,104,131,545,031,346,173,099,472,670,523,775,984,181,603,269,
401,953,410,868,496,238,776,526,576,525,439,919,859,516,841,417,359,021,305,
385,280,656,098,594,599,274,338,283,042,636,892,463,818,352,176,380,782,569,
760,698,416,557,966,157,042,785,590,671,512,870,404,974,503,409,259,779,397,
118,601,383,807,583,509,175,090,235,196,811,330,642,622,490,978,455,054,709,
026,067,015,105,140,517,006,084,738,641,695,754,619,290,639,363,957,525,936,
498,019,192,179,093,713,684,515,373,214,569,704,825,016,247,204,697,615,494,
036,964,439,733,899,250,481,886,440,410,017,604,089,159,456,029,933,197,670,
565,022,196,624,876,205,689,201,474,758,296,339,854,477,911,044,025,493,460,
786,878,496,745,452,056,811,618,677,398,103,574,836,914,481,553,678,632,178,
887,095,725,663,110,060,915,451,126,564,797,777,524,377,013,156,276,541,802,
102,905,660,040,013,810,476,855,593,422,571,305,995,840,833,551,937,806,639,
696,516,559,190,415,781,482,657,687,575,635,957,384,397,952,843,257,913,815,
741,141,345,614,961,775,832,125,019,237,702,389,816,708,267,341,067,387,458,
596,898,985,369,561,913,581,095,851,088,278,035,027,231,404,966,403,497,557,
815,379,890,866,594,201,785,021,959,323,384,872,198,830,597,633,270,506,172,
882,689,113,863,484,626,579,956,549,805,645,442,001,379,404,128,733,940,099,
155,016,882,629,359,798,634,477,992,276,316,828,522,222,684,731,351,122,296,
656,743,617,121,711,602,581,360,388,708,547,288,362,970,981,314,599,134,869,
484,168,585,363,618,648,832,557,194,467,176,551,294,929,790,808,223,311,292,
117,787,547,041,182,399,559,971,269,229,428,074,671,011,583,006,719,900,326,
935,689,259,452,647,611,930,270,027,402,010,328,697,756,209,713,643,412,294,
690,733,896,873,865,767,070,843,496,246,355,701,334,792,624,338,789,450,196,
431,922,690,062,778,885,094,249,131,464,727,288,117,706,007,179,422,125,053,
812,395,210,185,095,192,184,329,190,700,139,014,654,313,569,039,924,149,346,
738,110,094,436,258,485,131,316,359,915,616,813,768,925,849,211,090,692,955,
964,488,127,003,598,881,791,350,296,269,501,012,801,498,859,516,150,390,384,
435,805,102,107,517,783,777,345,774,821,401,945,524,990,306,823,312,042,127,
727,661,350,012,386,175,202,625,736,862,750,458,211,543,619,637,812,482,252,
260,175,042,113,353,749,743,499,007,931,246,083,575,519,760,296,327,549,814,
434,754,851,588,722,735,117,069,060,756,453,685,403,314,680,655,117,896,077,
419,178,014,948,305,111,199,377,939,059,874,383,093,619,065,638,565,375,738,
500,380,880,593,002,946,391,618,716,930,042,075,303,329,867,394,829,558,072,
487,203,003,525,327,499,993,227,825,654,296,992,280,794,299,862,973,615,565,
781,217,318,427,175,630,990,356,394,347,427,056,283,760,200,384,411,913,217,
775,442,770,753,425,030,364,929,831,380,863,637,719,097,504,062,545,713,188,
889,319,410,505,614,030,524,694,468,145,184,778,612,049,509,594,223,973,605,
986,146,503,470,970,300,880,370,635,530,849,457,165,626,075,505,621,005,153,
386,164,448,986,841,757,969,735,518,205,920,298,059,704,289,858,055,173,256,
998,706,720,892,085,560,098,556,924,538,580,643,023,756,176,989,757,503,717,
703,181,597,161,962,048,537,036,669,934,900,924,452,314,344,920,327,231,974,
137,328,364,192,293,111,665,271,571,290,051,524,095,356,691,745,513,731,470,
195,720,174,329,484,631,087,347,204,281,997,417,421,352,967,296,728,363,439,
332,754,792,232,481,699,213,722,102,639,364,214,458,327,034,660,769,373,257,
896,965,385,811,455,487,360,616,618,258,354,401,291,126,801,690,662,627,533,
302,301,740,900,513,082,698,901,691,698,618,376,510,176,846,651,488,243,200,
410,383,676,951,473,801,693,176,564,411,791,507,272,909,153,367,522,762,289,
370,037,636,375,305,696,456,659,882,366,128,508,879,428,723,041,513,946,487,
615,613,860,398,266,820,490,837,501,995,147,263,091,502,946,734,031,447,659,
484,483,524,815,487,641,595,315,126,953,614,354,184,855,637,916,357,495,746,
221,643,455,603,726,821,896,727,668,025,472,042,726,581,385,009,606,231,589,
505,271,874,342,245,949,454,533,143,967,973,223,588,108,014,522,808,526,957,
473,397,967,308,148,303,225,372,590,719,112,309,190,132,036,599,222,219,140,
899,555,629,345,828,269,724,876,839,949,319,026,088,946,721,594,722,758,362,
559,149,853,543,121,854,729,365,018,436,942,288,755,546,373,112,882,757,513,
604,551,277,076,992,648,755,053,683,891,052,800,625,461,662,142,543,837,585,
829,266,493,563,934,037,511,161,224,670,752,475,908,875,365,543,327,997,621,
584,427,544,295,132,244,094,150,761,689,752,401,447,887,793,464,590,898,828,
124,148,294,739,794,204,091,346,718,949,881,540,218,200,553,158,625,270,911,
188,532,668,367,285,150,216,513,630,244,286,138,176,011,809,418,784,876,199,
186,186,652,097,000,016,685,614,946,488,475,248,075,781,335,109,313,332,702,
348,844,070,643,476,035,809,247,710,975,246,702,932,114,014,054,341,090,671,
041,209,173,593,486,178,818,236,390,972,788,982,642,266,536,419,666,428,911,
760,147,127,878,333,186,455,057,657,956,941,725,701,102,148,552,919,323,588,
410,958,392,124,040,345,008,096,864,369,371,877,755,061,371,716,683,182,784,
273,586,426,563,710,641,206,439,895,643,723,801,159,846,849,371,726,005,905,
206,648,542,948,489,955,084,890,942,211,105,255,261,327,382,364,773,503,807,
740,399,560,843,575,254,017,301,731,266,242,209,151,139,192,914,706,434,555,
364,352,828,985,521,154,553,161,702,905,294,161,971,711,851,502,750,931,491,
196,344,997,032,623,577,534,474,216,483,899,509,985,745,735,471,295,946,294,
670,611,200,531,746,720,780,394,310,211,925,233,480,794,254,364,275,692,919,
957,755,149,088,967,156,435,803,395,886,882,858,293,138,432,146,090,479,989,
857,830,547,269,217,787,428,816,735,609,743,162,530,667,522,192,539,688,987,
203,795,075,797,938,826,152,727,500,655,201,505,370,502,784,579,063,646,909,
158,000,961,416,294,871,940,308,334,739,537,238,511,527,938,404,767,380,528,
203,871,432,951,072,218,013,499,751,261,435,491,965,834,397,004,202,671,934,
194,564,761,835,003,285,733,064,016,416,312,659,919,496,718,792,548,047,746,
016,215,574,386,190,900,580,257,026,095,483,095,107,206,494,175,868,080,137,
355,609,137,651,445,506,940,854,785,492,598,261,656,816,958,854,311,296,055,
442,680,461,361,564,354,801,719,249,104,697,492,673,815,501,089,607,403,981,
122,926,047,251,208,139,362,496,386,833,546,452,725,389,120,279,432,079,883,
352,603,011,804,063,164,903,306,741,620,793,116,667,289,826,387,059,849,555,
491,218,299,570,950,055,809,840,909,818,681,675,143,740,961,434,300,039,832,
269,093,857,570,898,732,496,312,942,287,246,258,632,205,698,017,610,371,909,
749,827,161,862,524,716,334,363,890,133,090,292,440,854,887,997,025,296,895,
627,347,760,553,056,422,660,142,643,099,121,177,869,741,634,379,043,699,838,
968,319,203,305,244,137,328,239,894,742,790,490,446,052,967,441,388,535,482,
390,215,355,780,649,583,848,475,302,435,452,527,798,760,126,276,222,992,889,
060,065,771,945,175,190,958,084,481,546,201,067,313,893,271,434,505,397,761,
222,132,224,580,143,025,492,448,704,953,389,811,588,042,705,527,913,850,591,
866,445,346,612,454,317,343,532,026,551,610,341,756,832,669,498,445,377,229,
800,928,025,255,987,835,627,547,840,996,252,048,638,130,303,005,834,217,357,
330,969,731,367,747,573,612,297,079,118,373,205,398,409,495,377,986,022,249,
845,763,333,037,886,054,558,380,219,588,710,302,267,857,184,518,253,890,520,
698,482,896,238,504,260,622,836,926,909,721,388,286,514,650,010,847,963,381,
493,353,961,230,745,799,879,079,477,260,258,428,492,157,933,976,469,667,876,
343,923,733,896,509,090,642,945,598,682,105,053,604,103,581,147,212,577,797,
630,103,706,373,929,919,590,189,317,948,512,486,903,978,885,759,011,069,651,
130,994,788,419,593,211,410,006,996,116,744,994,311,395,725,411,356,278,621,
489,731,138,666,087,897,403,210,030,565,155,150,860,103,187,180,933,521,530,
911,775,448,263,889,248,260,981,020,609,508,686,590,768,049,971,366,153,511,
244,456,012,168,554,941,814,637,536,716,124,255,743,644,648,290,548,539,092,
052,403,653,274,287,381,457,208,214,198,689,122,949,589,132,304,365,199,837,
638,886,852,234,782,313,663,293,533,701,406,939,503,151,513,700,584,197,334,
530,162,061,739,545,721,616,068,794,274,924,244,337,718,140,633,473,782,941,
056,349,160,414,492,998,971,331,889,098,494,830,898,897,497,507,446,814,377,
835,239,956,479,761,010,013,852,235,859,909,790,761,033,112,079,670,977,723,
878,517,703,041,650,472,356,451,661,370,319,431,948,196,662,476,127,978,560,
014,277,464,292,924,733,294,229,442,903,266,707,952,521,000,022,597,014,514,
844,966,914,257,435,753,469,895,374,476,215,603,665,107,086,410,053,987,350,
718,143,100,278,017,553,717,558,247,656,016,685,153,162,516,262,318,176,921,
279,415,773,982,985,968,360,687,950,491,300,275,265,264,805,321,758,566,702,
672,162,938,941,918,019,801,463,079,880,656,932,171,871,192,065,251,536,107,
528,826,092,360,835,739,791,859,575,841,593,314,747,239,066,008,544,474,536,
096,677,238,425,007,580,217,171,779,869,666,154,501,052,166,623,216,701,360,
447,718,225,269,564,951,196,166,673,386,256,101,278,684,538,099,574,107,016,
535,970,360,706,066,251,726,305,843,734,641,527,939,836,968,391,972,758,833,
075,594,303,899,563,957,595,829,970,088,042,718,414,924,759,683,457,270,280,
581,994,617,121,211,130,872,553,881,297,211,117,707,728,305,610,178,785,317,
119,659,975,663,327,415,387,978,780,488,485,961,895,137,551,973,967,331,505,
897,354,614,170,229,761,144,774,051,582,225,860,178,623,284,982,127,136,375,
817,785,494,060,851,243,000,194,682,264,250,151,047,910,443,688,152,907,541,
371,242,922,501,844,622,892,450,482,366,734,876,978,428,387,690,431,813,816,
925,233,352,705,361,561,271,950,056,237,833,160,387,781,467,911,239,696,841,
865,174,558,540,577,195,859,551,876,805,404,941,887,550,301,651,561,860,064,
572,294,180,897,068,051,325,019,310,133,332,610,532,534,975,027,786,411,261,
613,797,916,429,658,392,531,377,284,958,183,564,141,265,440,801,088,025,245,
231,530,445,741,782,390,103,956,516,546,509,394,533,932,215,347,209,980,818,
282,541,644,678,543,601,184,299,091,055,603,639,194,665,601,708,813,840,535,
550,360,408,712,106,611,693,888,043,575,209,111,033,244,512,786,206,831,663,
132,585,673,831,247,802,554,118,986,469,481,855,270,912,219,710,315,853,760,
820,715,256,926,869,559,607,389,698,292,542,324,722,323,216,213,273,659,487,
050,092,532,281,070,831,801,936,216,562,699,324,547,161,486,343,800,730,430,
821,357,446,019,893,978,342,217,311,455,993,020,811,657,305,567,765,990,314,
323,959,157,822,853,543,454,427,251,428,358,183,685,758,994,426,025,971,560,
346,407,041,185,416,802,239,238,830,451,039,326,082,768,667,690,903,666,437,
028,542,949,408,612,540,892,884,708,576,669,111,510,732,092,049,496,488,010,
007,558,484,042,900,664,585,407,204,242,932,345,698,391,598,796,246,114,832,
594,599,664,342,797,075,903,209,851,169,302,974,782,485,234,452,754,519,990,
745,961,138,526,094,869,545,721,167,662,497,335,809,031,501,371,240,620,849,
755,516,138,613,550,886,052,428,989,266,773,477,008,750,609,456,807,677,577,
353,841,951,521,809,762,312,872,571,956,972,374,675,017,221,320,824,903,841,
613,155,030,814,997,058,156,996,493,900,134,227,903,398,213,956,078,836,792,
988,223,315,045,857,213,179,030,897,818,170,599,763,080,125,495,433,934,365,
920,519,271,366,943,670,270,121,779,368,930,653,472,135,579,604,634,338,461,
755,359,070,624,801,384,064,777,768,522,608,508,699,446,422,026,180,955,956,
044,591,623,604,358,797,563,839,977,884,885,096,886,155,222,751,483,468,986,
025,238,317,291,378,200,128,753,133,248,168,185,843,990,198,061,842,483,856,
115,258,004,548,152,286,136,606,644,657,670,252,225,317,720,967,887,187,678,
982,258,720,437,086,121,956,083,743,912,396,509,897,881,602,422,332,802,066,
662,087,154,485,155,489,957,932,925,128,042,628,414,325,542,561,391,525,787,
164,418,616,095,323,118,611,670,929,466,296,745,033,531,892,231,706,089,783,
381,969,806,995,071,074,697,271,126,856,501,084,091,586,233,767,343,089,417,
372,879,195,815,641,159,077,408,121,963,856,391,357,900,413,145,284,346,369,
862,181,660,200,938,948,922,036,140,971,887,338,809,205,350,571,419,849,740,
867,694,106,636,414,144,376,537,493,178,359,044,879,215,155,245,752,336,926,
631,663,583,882,496,456,367,602,504,719,114,386,286,027,762,101,440,832,985,
620,596,826,020,060,481,293,367,100,027,870,567,519,620,797,162,069,398,776,
415,646,792,516,879,916,541,517,438,441,881,806,564,629,484,295,200,023,656,
361,838,081,887,866,695,388,976,494,083,796,028,239,417,664,532,449,026,065,
119,683,584,959,492,433,910,605,473,134,959,126,115,282,942,679,505,916,383,
580,286,043,141,615,906,900,431,127,404,955,640,459,107,413,238,089,536,896,
665,765,921,007,656,428,354,441,908,326,900,113,180,597,038,141,069,280,062,
971,698,746,377,609,604,075,917,508,031,352,700,389,445,201,311,565,778,049,
266,872,747,304,400,997,072,395,278,403,796,479,567,757,478,266,612,052,089,
193,671,731,302,842,058,570,293,764,096,946,711,730,439,259,898,342,444,343,
224,896,235,651,837,261,318,618,295,399,392,188,486,479,093,076,399,426,549,
651,745,726,090,423,262,200,443,813,047,345,272,772,637,376,557,866,551,444,
929,087,032,245,763,193,449,956,699,356,908,090,940,650,347,858,519,423,244,
957,627,547,165,737,132,134,969,687,906,380,125,640,278,443,254,704,264,460,
684,382,639,852,084,087,468,132,772,205,953,476,789,816,934,861,385,624,085,
845,919,301,674,925,386,609,294,282,388,014,041,449,620,848,930,196,355,923,
299,855,522,169,638,263,023,062,162,012,730,426,716,973,903,087,701,528,739,
226,901,567,848,827,034,540,612,712,835,229,283,664,959,385,864,753,553,979,
307,935,653,336,051,383,942,814,303,894,571,759,972,572,684,776,035,399,655,
247,733,694,488,507,384,729,022,878,065,046,659,826,318,152,328,248,225,282,
706,565,051,483,768,765,885,184,683,531,184,362,900,721,842,336,893,620,595,
653,544,888,048,157,727,657,039,109,782,058,606,177,902,479,588,128,387,565,
909,714,665,135,918,148,578,180,308,917,995,979,906,489,474,816,087,329,202,
729,974,810,102,487,615,974,412,768,299,867,014,774,606,474,966,856,260,793,
120,319,403,978,365,915,356,918,416,690,830,291,457,833,687,267,024,436,370,
977,136,612,035,046,412,559,575,379,424,569,492,790,593,939,759,453,069,940,
733,310,147,537,025,815,988,512,479,531,868,637,123,057,425,738,876,135,979,
214,930,289,266,662,519,121,743,646,244,378,654,663,729,754,689,815,500,584,
730,458,091,157,963,184,721,547,198,237,530,026,587,220,802,866,810,019,274,
170,330,199,020,288,329,870,022,845,089,039,157,089,073,948,337,756,603,888,
314,053,057,030,335,715,849,521,774,601,177,311,112,261,154,470,161,933,499,
335,593,461,528,378,531,382,006,889,813,607,999,774,345,822,129,805,316,253,
161,831,305,034,529,751,052,190,185,718,535,401,682,549,364,441,851,724,275,
449,070,394,804,632,629,633,361,737,221,209,283,619,734,669,822,580,772,703,
115,859,243,755,321,335,443,289,081,375,445,664,417,537,714,225,272,480,648,
489,683,376,968,241,282,082,040,797,591,879,044,805,719,435,801,876,160,360,
543,096,938,496,545,464,546,937,822,758,568,621,086,389,017,274,325,098,205,
405,094,143,464,590,587,958,665,294,649,658,302,181,353,679,742,488,154,866,
296,602,206,932,407,745,630,800,079,519,956,840,466,279,536,019,761,941,061,
791,910,730,585,725,061,206,177,223,690,048,730,183,951,886,560,237,475,492,
535,721,541,560,882,097,026,047,372,159,015,029,686,602,641,107,819,006,302,
686,927,620,928,967,362,007,646,825,201,564,081,069,973,831,776,005,037,510,
717,620,809,073,353,472,466,771,558,228,839,344,181,791,510,626,723,188,742,
446,764,529,762,399,579,277,959,603,608,775,172,543,061,187,048,644,129,658,
202,255,669,162,914,103,422,835,931,979,947,789,693,208,464,151,926,793,466,
221,594,687,815,311,134,312,774,357,124,019,808,549,900,912,456,773,289,087,
805,851,463,725,448,581,599,690,288,783,213,763,441,040,824,657,386,814,693,
441,158,856,854,510,011,512,202,074,028,258,524,629,479,397,650,713,950,497,
106,572,810,031,177,269,701,204,475,160,059,735,393,430,149,601,570,929,438,
312,586,956,577,578,602,241,034,720,834,404,676,791,128,732,289,680,461,453,
352,031,165,887,008,184,145,574,834,528,368,465,062,873,361,224,299,436,950,
269,799,222,053,152,163,436,380,184,066,172,908,628,438,082,698,341,280,241,
183,853,430,181,250,820,945,344,820,548,327,241,463,060,388,923,617,520,898,
645,303,253,566,277,896,865,354,002,665,136,717,012,427,168,480,452,372,827,
535,854,605,330,503,314,281,732,199,911,310,707,312,427,960,474,518,796,169,
820,515,812,724,488,383,396,810,645,173,371,138,819,131,066,341,578,130,947,
885,691,820,076,372,255,584,458,108,296,200,997,674,101,518,864,256,175,869,
874,068,912,914,931,242,813,412,098,686,539,194,029,521,865,988,988,974,259,
328,935,865,326,909,606,203,393,342,924,010,311,689,959,932,500,236,931,161,
347,116,477,857,680,300,519,462,353,304,277,281,777,400,843,208,850,314,409,
038,371,360,183,322,385,938,371,041,349,782,053,631,505,786,830,214,490,044,
805,309,515,515,136,462,888,450,972,819,610,315,276,569,797,476,979,983,614,
534,434,019,095,915,799,629,840,879,154,508,799,066,678,191,546,741,190,870,
399,114,240,575,380,087,241,444,747,541,027,907,189,721,972,148,498,073,159,
626,252,544,342,360,278,644,629,981,828,155,612,386,332,952,209,347,626,390,
485,333,742,724,941,085,420,573,975,944,961,140,800,320,967,998,860,714,821,
588,256,962,347,602,106,330,167,850,256,369,054,524,273,526,593,601,532,560,
330,179,928,435,210,707,930,365,654,304,889,464,852,674,759,935,515,702,569,
445,093,784,751,012,807,189,029,791,992,977,450,967,960,946,387,679,189,705,
257,554,912,266,613,826,613,933,046,354,122,956,659,355,871,774,424,480,322,
169,354,891,813,326,925,037,080,630,190,457,776,454,427,173,060,223,280,400,
876,059,514,348,680,908,190,992,100,538,024,083,628,234,833,679,077,522,068,
731,035,683,896,969,457,915,261,493,827,946,232,069,470,443,434,817,350,050,
786,782,277,397,435,662,177,559,630,511,081,537,732,545,311,394,992,794,525,
037,516,042,316,778,720,408,435,891,114,647,066,257,153,066,967,579,800,890,
172,025,520,989,089,636,210,648,362,344,142,215,231,925,803,586,125,066,753,
579,774,695,081,155,360,494,569,786,310,206,205,901,390,736,440,224,067,719,
642,814,528,670,848,578,301,268,754,992,214,303,434,131,328,924,664,942,635,
716,726,830,701,454,580,003,567,890,368,823,728,853,818,128,960,397,749,755,
752,907,273,020,473,111,985,849,735,049,521,469,572,301,401,208,542,090,069,
463,716,447,210,572,939,688,861,332,761,263,018,137,773,413,680,215,842,403,
927,973,797,641,671,491,800,370,656,251,743,822,489,963,246,872,200,680,338,
517,847,705,416,309,545,030,464,348,857,910,446,568,198,228,958,329,626,205,
353,244,033,587,330,148,781,690,956,934,621,164,277,833,650,770,721,847,302,
078,977,990,180,062,014,920,697,856,752,674,251,072,203,656,873,993,956,466,
881,353,087,879,277,801,943,314,810,086,707,776,992,161,038,281,272,816,615,
829,928,179,184,349,797,980,558,473,865,663,029,768,554,342,005,730,198,812,
957,240,299,429,146,764,878,876,609,455,121,755,086,409,944,593,138,344,768,
909,190,309,731,487,123,370,946,291,727,794,657,552,553,981,362,156,853,640,
073,460,226,706,832,169,008,763,646,274,804,980,487,516,612,134,798,325,944,
030,423,803,898,886,366,337,229,471,898,514,872,315,922,642,117,498,579,992,
740,835,463,683,978,320,666,785,549,130,587,825,273,049,637,342,536,594,975,
153,647,981,038,905,961,498,810,891,623,284,734,715,120,783,014,830,379,765,
884,344,822,450,450,305,888,440,326,089,234,927,610,297,508,489,777,197,948,
081,778,451,969,684,427,877,824,622,980,882,503,349,561,246,505,541,849,983,
118,046,777,243,909,160,775,961,832,897,167,242,295,697,339,764,902,171,530,
546,964,190,070,505,997,402,710,931,962,429,853,635,603,661,163,292,851,854,
678,610,525,394,828,492,390,347,482,620,077,236,218,719,469,779,210,740,698,
264,967,858,395,464,321,165,588,634,877,847,651,536,976,691,793,589,897,995,
829,292,277,480,616,694,319,051,004,881,961,318,048,783,313,111,403,359,120,
525,966,204,010,428,222,624,365,674,020,214,384,596,435,069,585,179,544,237,
221,339,585,233,184,822,944,352,996,890,828,875,732,723,179,762,156,142,156,
967,970,174,807,275,280,421,438,405,837,506,982,356,285,305,752,426,955,234,
253,009,176,193,491,570,050,441,502,716,740,425,746,171,686,316,641,136,875,
732,364,678,371,780,671,529,848,503,956,066,289,389,441,233,439,846,304,551,
331,794,742,189,905,569,040,391,248,892,455,731,218,099,645,579,257,686,876,
825,693,612,631,674,635,714,463,974,060,017,378,456,168,294,179,223,352,337,
984,442,577,968,380,562,584,376,179,044,831,604,031,625,599,371,197,710,010,
731,475,511,752,859,532,606,040,936,550,369,395,613,288,568,767,448,251,417,
687,642,664,641,274,261,527,620,864,992,306,241,189,020,713,378,136,357,077,
181,415,662,124,976,710,497,294,035,072,191,019,697,348,256,613,713,144,394,
841,050,092,241,522,973,671,493,610,696,021,690,021,655,673,324,657,387,764,
517,255,970,883,435,767,725,545,455,708,663,216,469,152,782,459,775,630,661,
711,869,249,842,292,515,752,951,048,815,004,751,447,946,030,016,263,522,975,
226,279,451,252,784,043,141,244,983,587,857,393,727,501,596,626,547,442,392,
274,184,761,907,460,360,999,548,548,418,504,605,386,538,939,804,819,794,414,
393,186,903,817,606,476,904,953,716,132,167,816,033,133,907,700,728,198,047,
968,712,335,661,251,874,565,213,643,064,489,130,193,758,788,233,842,806,113,
871,490,527,998,963,274,119,882,729,594,747,108,890,625,611,367,849,770,352,
864,175,336,824,576,941,487,644,426,939,945,506,559,994,146,190,408,887,600,
849,292,261,941,735,004,169,289,730,259,383,708,632,548,145,681,417,502,119,
614,512,368,674,790,402,602,044,323,797,288,446,783,382,781,048,837,078,012,
762,843,401,943,205,485,999,600,252,591,403,910,127,393,736,489,477,495,536,
874,258,189,824,603,389,697,344,064,935,015,430,529,997,693,289,441,759,888,
439,826,024,399,619,613,569,187,336,007,068,987,757,499,720,702,276,698,103,
875,090,022,894,695,082,591,473,697,846,061,616,087,874,805,915,190,144,991,
339,616,970,967,721,190,027,693,887,132,572,378,089,109,514,315,860,623,629,
151,262,628,073,073,573,518,035,377,480,224,982,472,084,205,239,099,745,897,
840,197,252,623,057,329,441,953,207,959,732,125,574,944,524,997,874,021,275,
615,690,055,590,931,456,336,843,171,333,559,967,601,736,731,123,549,871,842,
327,795,507,638,996,688,399,421,558,007,577,379,000,764,709,887,360,486,570,
707,371,686,663,183,168,999,678,627,160,776,894,199,032,474,236,463,940,399,
186,591,596,997,223,272,915,945,003,476,795,909,667,021,348,821,544,986,760,
738,252,027,713,312,693,540,904,068,863,362,543,925,419,631,553,180,913,163,
962,980,469,436,243,206,672,374,621,331,782,446,466,437,211,858,710,412,693,
936,508,495,265,412,617,881,348,210,530,270,584,617,498,654,142,933,577,382,
368,966,070,893,426,458,529,179,986,945,374,540,435,470,011,055,259,015,468,
769,598,130,680,865,274,432,910,120,856,520,419,523,509,450,812,541,563,063,
778,239,746,518,169,083,851,302,591,675,666,861,039,912,657,379,117,579,297,
584,258,138,409,991,371,174,700,409,447,335,570,173,135,197,223,088,348,487,
373,996,245,735,217,076,876,967,872,783,344,590,552,997,290,906,046,291,882,
221,973,659,530,089,898,273,312,089,806,133,429,376,930,803,888,388,796,365,
074,243,298,650,680,861,990,718,450,202,563,686,033,463,121,714,720,788,553,
809,606,597,573,541,446,203,215,946,682,949,526,129,980,286,159,161,132,442,
226,717,320,836,343,005,752,975,357,804,249,694,415,387,926,386,902,744,912,
127,529,731,694,460,257,851,805,423,003,242,030,972,348,669,236,312,315,069,
906,886,579,748,926,193,395,619,909,842,189,708,993,501,579,056,773,039,412,
996,712,158,431,242,918,268,668,793,986,956,677,693,217,137,740,872,386,410,
424,447,094,578,975,282,675,727,264,398,124,611,926,485,010,890,497,654,893,
834,824,818,047,793,593,304,755,953,674,457,079,707,171,614,283,184,850,788,
506,390,022,088,976,277,486,804,793,792,420,018,152,193,081,628,512,886,360,
283,925,766,497,552,450,372,875,591,584,526,400,934,916,468,782,379,611,035,
014,276,551,284,345,270,566,848,674,789,903,309,754,173,974,747,258,641,167,
932,795,143,524,059,242,227,571,752,292,264,570,433,950,374,397,995,519,659,
536,733,851,722,934,682,756,550,391,705,953,165,108,461,817,724,008,571,453,
514,267,153,620,687,304,880,860,221,135,862,255,001,280,653,610,021,794,093,
788,863,142,923,220,896,561,634,445,927,757,262,836,145,747,390,606,531,597,
072,125,891,916,324,080,228,524,767,992,273,679,320,131,419,153,252,726,100,
121,836,417,362,557,291,162,780,468,839,140,613,925,361,342,639,158,064,325,
814,766,946,215,794,370,502,263,626,924,023,774,460,832,238,792,220,229,927,
961,395,631,226,182,485,541,985,712,848,097,642,287,257,719,999,304,612,680,
098,485,517,611,901,827,868,497,828,546,068,200,410,658,683,353,420,701,523,
215,182,274,648,599,608,593,299,280,857,716,097,667,611,937,055,425,124,452,
422,903,943,840,671,296,149,216,896,589,374,756,984,091,095,786,771,709,626,
765,604,340,670,550,780,776,192,732,143,658,317,952,462,834,014,154,711,393,
777,642,899,287,574,525,364,055,969,867,856,208,021,126,974,939,894,980,683,
064,362,007,615,448,645,293,103,145,370,613,469,604,396,636,289,308,782,020,
238,537,374,643,210,562,879,855,076,110,244,486,353,527,640,447,408,165,318,
791,941,376,166,109,479,104,142,675,588,291,175,830,678,183,114,474,329,014,
988,140,954,805,129,356,456,883,679,609,545,333,816,485,033,794,793,939,210,
411,320,527,499,810,815,013,473,574,383,814,696,237,724,015,618,316,557,959,
460,702,111,135,437,389,170,735,101,758,802,448,923,794,021,829,122,363,740,
589,822,656,530,850,488,418,091,331,094,707,451,246,874,400,042,080,798,256,
660,700,808,970,307,523,471,858,531,793,175,416,964,086,354,905,714,010,984,
037,303,209,977,034,302,969,388,688,926,108,580,876,536,394,438,753,433,623,
181,405,786,631,276,550,205,232,505,785,707,518,099,846,047,112,643,133,489,
627,266,361,771,255,225,952,030,749,067,503,713,797,183,895,980,387,333,500,
480,984,397,758,469,302,885,970,104,365,615,060,227,910,311,470,553,752,270,
970,679,351,403,594,370,971,237,124,671,675,528,323,587,007,103,890,367,227,
431,136,169,432,411,114,179,442,801,779,888,086,942,343,072,201,264,570,550,
964,541,370,427,202,884,608,994,344,759,938,805,145,739,538,678,684,467,338,
832,603,025,501,897,226,369,889,279,106,803,678,304,384,003,308,781,679,805,
326,546,104,714,208,737,720,635,727,457,516,450,720,447,192,335,056,860,963,
813,112,947,653,848,088,421,765,179,252,140,925,715,623,077,643,258,060,628,
037,404,790,916,288,830,692,385,433,932,937,341,760,522,032,733,458,514,373,
282,761,899,856,233,911,411,298,380,400,381,000,749,172,109,922,704,275,359,
824,224,224,676,440,695,827,967,535,828,610,585,666,471,042,875,656,945,168,
986,108,596,122,021,443,820,103,141,367,479,141,589,430,987,630,927,284,012,
628,213,452,854,037,601,105,385,220,011,024,081,805,624,359,476,404,887,301,
606,467,379,905,780,452,820,850,398,852,835,484,075,270,291,209,475,957,217,
641,091,933,679,177,702,352,196,948,341,838,575,483,925,585,758,573,186,424,
343,803,017,833,511,314,577,825,656,269,440,546,064,685,014,463,742,020,142,
937,330,445,292,781,526,890,072,589,343,928,865,852,598,322,553,173,574,796,
775,170,445,178,567,796,679,136,320,234,382,334,631,403,982,468,025,226,375,
217,365,664,605,740,510,363,926,539,715,559,250,815,743,980,013,667,802,602,
215,580,417,738,830,200,537,051,238,861,251,007,496,871,796,153,097,272,283,
562,130,608,073,800,998,269,895,291,906,990,123,275,194,174,927,242,646,812,
687,915,655,994,590,344,446,005,024,625,174,458,719,604,040,485,428,012,630,
615,418,661,257,039,116,558,527,519,033,232,871,969,240,078,191,024,937,995,
007,420,122,501,065,746,885,959,376,249,688,873,694,505,272,094,984,922,830,
987,380,919,292,850,649,002,904,387,152,187,663,606,519,471,873,819,632,674,
498,106,703,690,316,245,416,300,979,796,084,760,427,202,616,758,903,544,513,
820,635,528,846,038,396,627,182,516,153,982,020,022,320,991,566,275,370,300,
175,266,260,605,417,400,254,436,161,779,346,820,958,815,092,045,458,962,726,
406,269,465,556,145,161,320,844,334,568,100,595,069,149,961,944,604,542,915,
341,444,414,621,645,854,931,058,130,186,909,026,229,291,249,789,329,274,314,
167,946,453,213,396,367,393,435,376,617,523,984,812,235,567,121,478,290,522,
222,707,711,554,981,469,938,824,514,653,972,476,356,256,939,681,045,634,395,
750,821,014,380,176,680,944,316,207,958,989,260,710,775,215,650,233,781,177,
005,344,682,012,518,831,948,744,173,236,650,903,967,189,307,707,859,215,941,
882,325,240,167,555,514,065,612,112,162,866,832,183,641,584,969,539,655,069,
115,702,172,750,572,487,955,705,678,185,306,998,726,187,829,443,256,997,473,
445,822,600,255,216,814,311,452,816,271,439,021,947,232,543,818,848,135,858,
808,210,096,852,319,691,050,955,075,149,303,267,372,236,125,189,950,100,190,
300,882,649,663,660,034,415,452,286,481,552,046,585,981,015,601,913,541,287,
928,897,605,766,929,538,989,229,264,192,474,172,415,800,864,366,184,842,765,
934,860,216,036,528,174,011,852,978,412,093,599,502,000,958,511,280,287,783,
021,957,809,838,992,203,742,641,182,314,165,300,152,906,205,571,882,332,378,
899,191,583,630,011,762,226,017,947,925,168,400,170,411,939,765,762,117,995,
921,243,913,683,721,566,894,216,089,182,703,722,921,900,596,016,956,460,387,
780,492,190,490,535,131,843,049,118,894,778,407,532,561,814,369,033,669,827,
527,745,814,477,003,971,082,110,655,248,953,617,860,274,030,715,533,052,734,
922,361,081,517,233,634,058,946,856,146,409,566,225,808,642,965,360,479,652,
048,758,927,667,489,585,376,896,402,360,700,555,239,750,258,272,528,675,794,
092,811,762,615,390,832,471,437,458,103,572,364,212,665,267,131,025,805,341,
473,842,147,230,010,178,084,075,253,266,105,320,475,955,660,682,089,015,573,
130,266,480,259,543,055,003,998,478,085,214,758,047,074,993,366,400,717,127,
288,256,446,785,741,823,062,471,432,634,606,038,406,434,023,274,153,132,487,
975,615,879,960,176,192,751,297,711,910,725,623,776,186,177,178,911,740,389,
297,471,767,726,609,991,062,627,861,951,660,771,421,337,221,874,323,939,690,
545,851,793,444,678,446,338,591,677,633,016,119,271,397,854,754,211,397,854,
609,963,768,398,141,433,533,340,021,286,132,584,897,912,795,302,264,052,291,
669,565,190,467,312,827,029,525,144,330,105,263,262,772,533,242,153,499,196,
214,732,324,584,813,919,004,107,126,557,314,123,402,777,661,236,230,956,115,
592,190,098,585,288,688,263,653,816,156,175,391,523,252,781,624,998,404,801,
995,934,213,249,912,359,187,016,876,786,665,357,624,515,329,969,123,664,798,
047,259,003,431,835,541,687,098,898,820,621,577,009,465,670,004,025,834,910,
213,221,478,638,743,917,160,829,673,143,715,882,090,530,056,021,878,700,613,
615,920,883,873,069,635,267,398,978,013,093,514,932,297,524,214,761,878,804,
175,793,187,123,910,130,713,521,735,811,195,359,949,506,956,180,936,485,557,
836,628,637,087,948,718,344,989,760,254,519,951,942,315,476,709,275,021,082,
600,164,824,503,045,255,946,024,020,075,874,327,148,732,711,330,429,565,354,
519,400,484,543,931,868,894,358,762,142,846,886,710,033,363,519,761,731,404,
205,115,892,791,686,655,614,894,939,422,924,446,139,687,805,540,384,236,546,
309,237,745,778,119,962,292,837,439,317,663,715,923,317,317,969,330,292,921,
307,241,670,272,122,685,264,466,941,573,660,715,308,992,129,831,337,002,785,
924,438,275,509,831,924,769,471,534,552,089,415,246,406,296,807,401,985,473,
335,774,887,468,092,008,092,754,395,063,544,698,611,496,523,000,342,124,194,
644,852,260,697,269,590,868,380,584,313,747,358,019,936,437,769,803,260,119,
699,983,155,285,917,825,764,310,696,926,001,067,619,722,631,809,181,906,400,
904,277,321,689,824,997,156,125,861,353,801,001,435,804,964,185,571,907,300,
945,031,871,903,941,111,845,366,432,737,894,088,801,448,854,403,481,812,026,
754,201,472,643,155,436,594,760,593,719,223,496,898,627,650,608,742,717,885,
269,833,660,111,060,256,989,997,779,926,416,346,479,792,589,278,809,374,440,
640,004,011,634,542,436,086,564,396,239,297,222,037,641,922,190,327,199,726,
531,696,622,682,586,347,311,551,727,624,492,421,901,454,578,108,263,535,133,
919,480,017,226,808,768,598,474,083,160,784,649,505,284,308,659,395,398,862,
305,228,520,073,769,034,643,768,338,064,006,176,924,588,933,758,132,851,376,
699,140,888,814,831,119,853,560,055,944,636,915,104,693,029,086,015,239,960,
332,356,490,733,450,841,023,159,243,096,936,871,107,860,853,095,481,016,287,
149,590,296,229,993,276,593,175,892,136,366,855,956,544,635,433,633,926,431,
511,947,540,634,646,751,924,419,475,261,033,124,055,621,671,041,079,051,822,
658,516,414,133,319,393,557,287,442,131,442,207,792,616,455,477,004,608,105,
115,919,952,410,602,780,591,838,357,383,247,809,628,727,932,885,700,439,487,
204,401,480,237,397,625,785,750,816,435,332,868,090,974,386,008,348,435,722,
061,452,856,247,980,372,751,964,422,029,883,330,816,890,292,060,013,706,170,
534,618,062,257,125,698,741,352,204,739,305,609,221,845,063,829,153,354,538,
753,731,831,161,553,280,507,832,509,244,540,559,108,868,042,436,660,901,816,
214,041,098,837,315,137,505,242,111,608,798,865,661,282,287,149,921,383,792,
941,658,262,376,964,537,831,856,866,563,393,876,561,948,939,310,747,990,638,
326,919,073,351,677,614,477,919,351,050,882,595,529,685,890,446,007,856,505,
239,704,343,580,625,863,730,272,189,153,840,287,592,232,003,853,543,291,463,
458,103,992,332,606,368,340,908,547,860,029,412,418,416,539,247,919,515,468,
627,968,035,320,225,917,403,506,205,997,428,984,896,511,964,399,328,987,153,
123,368,732,233,029,020,601,894,262,635,051,645,973,532,728,344,407,162,372,
745,570,797,731,500,685,415,908,681,538,667,646,740,814,001,197,256,743,507,
262,328,828,584,817,700,149,839,864,509,474,263,511,362,011,367,953,686,951,
233,492,756,892,422,758,295,804,257,109,069,969,357,310,574,833,249,148,661,
984,993,735,741,387,865,691,966,016,370,253,779,070,699,254,072,529,884,757,
515,578,972,225,443,420,858,303,013,187,838,990,217,036,457,305,604,305,809,
519,726,067,092,321,848,956,043,394,372,917,117,471,318,527,956,998,503,770,
416,685,738,963,394,901,112,140,105,914,287,139,559,136,266,356,771,218,376,
484,130,113,855,606,152,579,886,543,273,795,692,403,088,488,219,002,511,106,
477,329,459,720,971,088,008,419,170,914,476,427,656,194,653,622,360,835,359,
939,453,954,271,341,413,687,171,125,388,650,540,902,828,953,718,401,512,558,
961,669,197,066,922,313,801,727,401,245,785,023,351,338,091,977,516,904,646,
540,378,992,260,229,407,288,050,573,113,144,997,899,735,836,599,697,276,229,
051,396,277,210,722,145,288,148,654,376,205,428,567,054,852,789,930,861,166,
478,822,893,481,993,434,709,841,356,099,219,886,669,205,748,940,703,359,487,
033,780,909,944,623,819,806,239,717,815,655,013,695,962,087,242,435,867,226,
288,766,570,466,253,638,480,995,316,815,235,592,986,616,052,450,820,371,812,
926,177,960,170,721,278,859,661,462,221,925,505,904,637,150,102,639,870,486,
957,403,752,753,421,018,083,955,435,497,787,846,973,039,745,942,987,207,310,
680,720,754,909,926,712,798,919,342,603,192,776,560,598,742,827,223,996,804,
174,617,171,634,934,633,183,130,980,470,376,522,876,353,833,995,488,112,453,
134,232,820,826,376,191,224,943,490,813,727,392,915,808,636,023,735,147,071,
937,637,766,630,624,116,920,636,686,792,973,006,244,618,466,941,241,307,702,
833,297,006,774,717,629,326,538,171,414,773,479,539,280,427,599,523,069,533,
195,411,474,896,185,920,054,721,183,878,320,115,833,983,414,607,205,765,925,
570,137,193,095,409,531,714,932,609,531,379,232,305,333,013,679,269,445,743,
303,058,052,546,130,184,206,727,536,587,418,323,155,318,637,822,751,491,836,
799,880,305,418,087,379,057,469,981,305,024,683,540,915,754,579,885,215,025,
221,813,521,328,458,041,608,027,377,308,815,400,076,859,825,705,645,350,954,
814,993,232,422,469,486,368,182,020,470,645,536,181,972,408,974,489,369,837,
841,274,997,494,989,268,481,866,957,445,289,747,765,857,085,602,100,911,927,
311,761,379,832,035,297,220,932,772,020,835,921,516,454,766,665,188,779,259,
303,310,795,706,947,110,475,603,884,061,168,182,969,966,379,517,795,607,886,
603,946,231,439,757,954,584,589,653,867,128,249,957,118,041,147,701,528,587,
022,362,734,288,262,842,030,920,257,372,958,507,440,749,096,368,907,541,253,
665,110,799,372,861,622,999,031,575,477,408,731,263,761,021,153,956,703,683,
470,577,361,529,873,500,322,453,499,442,682,726,087,083,740,322,973,307,325,
967,415,781,990,665,292,449,677,200,637,125,653,683,665,213,980,497,782,070,
447,097,617,691,576,229,853,442,071,085,927,476,200,516,806,476,329,484,315,
828,025,201,418,619,310,939,491,577,558,307,189,956,354,583,002,295,998,872,
273,722,989,144,745,909,577,426,622,704,739,670,955,664,055,301,590,570,617,
657,924,610,959,430,959,298,104,425,772,319,116,845,896,676,997,981,377,285,
969,718,924,237,529,458,968,122,920,048,029,989,286,251,297,629,335,609,505,
180,221,910,811,842,563,224,637,071,378,583,536,113,218,940,768,048,098,752,
664,480,733,134,589,883,286,733,323,217,113,072,560,415,465,851,072,471,885,
190,379,385,717,505,447,384,923,898,173,637,706,783,803,444,194,537,944,327,
811,724,364,774,989,523,363,830,471,712,731,119,702,060,488,837,066,110,361,
776,408,976,736,549,618,948,492,229,611,016,703,731,287,560,498,439,068,607,
698,424,969,295,267,266,564,609,539,820,215,482,716,761,993,503,514,299,445,
140,844,793,471,964,325,838,339,144,216,835,303,213,151,917,442,890,901,465,
483,359,386,639,027,113,679,664,571,305,686,785,615,172,777,064,210,846,256,
824,227,920,993,619,069,817,195,718,790,015,160,125,010,209,537,683,637,854,
220,351,191,750,144,812,487,621,458,401,004,453,630,491,488,498,572,318,033,
923,419,473,909,492,443,451,338,556,419,476,668,620,465,796,918,918,398,983,
111,191,615,149,954,404,612,966,412,880,525,144,495,192,202,928,495,150,953,
287,439,175,657,472,611,273,283,977,924,026,814,391,809,552,365,152,700,391,
627,604,723,531,218,493,211,198,538,477,899,901,244,347,239,496,943,047,104,
993,855,561,282,862,663,529,958,660,284,357,042,708,432,351,830,189,032,849,
231,634,698,629,730,696,063,851,244,034,876,511,191,348,867,186,391,857,456,
921,317,142,852,715,421,486,045,519,721,519,165,624,711,296,200,311,372,329,
002,857,900,450,235,998,526,638,696,259,792,180,159,677,227,881,471,061,394,
926,801,042,552,647,267,556,670,852,390,059,702,664,682,853,961,821,915,378,
415,001,355,124,568,347,085,715,797,811,197,890,307,329,332,576,331,895,059,
073,349,952,628,084,574,504,062,834,800,417,049,808,888,758,156,777,354,784,
346,283,176,055,650,976,503,765,441,147,208,453,155,195,748,611,611,801,549,
208,434,475,898,567,299,269,037,148,333,585,897,880,744,773,208,899,288,670,
084,460,087,854,691,273,565,177,313,841,760,021,752,874,096,658,256,981,020,
242,051,807,569,545,246,955,513,140,920,278,446,691,186,773,473,030,435,667,
337,240,014,871,540,579,663,666,795,502,686,671,779,853,681,186,494,799,832,
847,423,334,180,408,792,470,417,430,515,558,822,032,657,438,745,868,669,360,
355,447,888,537,458,801,817,886,030,758,868,561,275,451,494,070,520,201,284,
946,780,486,567,749,538,414,029,382,402,603,693,401,367,881,958,706,817,213,
140,551,279,891,834,831,235,197,663,286,666,361,610,401,897,917,206,932,982,
841,624,178,856,693,085,770,116,944,028,720,595,133,717,959,104,421,042,204,
333,174,937,181,121,308,009,252,802,022,673,737,505,514,842,350,487,941,952,
403,378,426,313,030,394,458,816,805,542,240,549,408,479,087,154,345,250,961,
899,959,356,785,445,864,242,280,440,506,820,116,186,125,102,988,254,912,036,
044,022,427,147,397,351,002,399,156,023,368,321,511,081,985,691,162,838,940,
381,015,571,826,079,797,169,075,170,459,404,314,599,361,470,384,645,305,382,
089,929,309,207,817,912,414,587,561,045,395,253,914,507,283,553,821,674,521,
115,200,885,554,940,232,578,862,555,465,672,024,486,067,880,604,911,886,415,
259,246,527,841,923,383,992,388,497,517,785,256,374,463,449,102,240,912,090,
020,528,328,377,860,690,800,831,141,722,597,918,924,984,081,857,979,526,733,
252,689,053,872,717,568,146,646,986,674,943,848,295,504,556,972,400,354,270,
431,891,432,257,472,199,879,200,171,215,124,686,260,185,850,947,938,202,052,
321,700,542,117,241,966,347,368,904,149,770,848,662,351,763,223,673,793,242,
239,097,006,291,515,176,536,306,059,526,878,009,387,615,849,050,867,012,097,
531,980,585,797,165,640,393,144,987,376,475,741,120,988,532,923,921,722,845,
372,121,771,300,635,642,997,262,336,569,183,442,355,097,954,440,660,342,274,
235,024,533,691,774,802,133,263,872,912,306,188,946,351,595,882,117,894,445,
652,619,470,295,988,014,824,045,450,171,622,648,092,628,724,454,057,841,720,
661,400,797,015,523,039,016,776,367,757,307,752,549,951,501,068,528,627,704,
827,166,585,581,703,519,285,484,763,190,473,903,195,747,747,847,620,798,850,
307,173,217,638,991,272,545,252,256,898,254,184,444,505,549,158,743,983,840,
939,303,644,701,992,165,428,040,749,554,948,573,488,774,769,158,141,906,691,
297,535,747,017,539,801,200,873,901,441,091,483,527,161,803,988,826,747,637,
514,213,579,969,482,430,723,572,383,810,216,567,844,569,414,412,348,320,601,
457,682,680,931,186,573,379,570,665,321,517,534,794,439,389,308,641,280,184,
241,142,944,736,471,177,728,784,253,762,360,398,551,948,873,823,628,899,528,
701,517,643,649,849,360,234,213,005,449,591,141,379,962,015,913,678,422,549,
067,025,691,736,082,626,908,868,485,071,624,919,290,105,149,877,256,516,867,
128,211,323,186,649,123,817,730,025,068,896,678,486,822,997,786,267,220,372,
258,928,774,090,938,908,229,283,182,787,158,724,907,874,930,331,832,614,195,
771,709,432,251,664,595,320,499,849,522,256,152,215,811,789,337,682,789,115,
067,307,372,710,326,731,044,790,395,234,712,932,220,099,802,500,905,703,860,
436,697,865,963,128,985,811,254,694,431,387,389,202,096,566,683,470,853,923,
438,318,564,234,825,479,511,684,329,558,006,152,836,636,185,732,382,372,407,
057,953,027,161,997,638,205,608,677,024,058,507,450,081,706,075,193,459,084,
503,860,049,840,989,696,536,435,985,664,766,440,591,482,162,820,738,970,942,
474,356,839,838,135,835,691,899,719,717,886,793,868,025,819,516,631,692,023,
012,428,516,638,302,294,122,879,682,740,235,006,222,747,832,081,124,689,241,
534,286,939,035,687,676,739,081,769,864,323,421,922,687,474,891,864,507,021,
469,518,305,028,919,803,492,124,693,132,650,839,798,165,457,231,149,897,147,
162,584,111,029,884,091,885,459,808,485,618,468,094,415,666,395,942,072,911,
854,651,007,844,173,253,965,122,313,105,534,501,448,419,183,675,386,371,049,
882,637,664,573,068,195,464,152,684,167,921,432,847,678,090,310,919,720,827,
935,149,968,788,297,726,482,261,768,623,042,850,981,230,481,411,337,497,243,
288,830,462,446,364,072,710,800,977,537,986,392,804,644,614,051,620,722,674,
959,058,323,699,988,475,715,467,401,510,640,540,797,165,459,953,242,435,660,
164,807,349,742,772,410,842,244,113,867,923,589,428,283,791,221,651,413,163,
973,909,237,154,812,245,125,434,059,444,373,160,677,071,338,603,751,762,558,
268,842,557,711,425,005,727,056,840,727,763,907,973,851,224,776,588,867,847,
036,780,628,809,526,832,452,855,774,418,931,106,967,569,051,469,363,757,364,
423,520,554,397,897,226,512,271,827,972,956,110,434,458,127,462,641,709,349,
723,966,827,115,807,188,275,630,483,300,751,188,867,705,198,858,982,325,557,
662,620,001,506,672,830,951,453,824,524,955,180,577,216,847,262,554,042,727,
671,398,569,263,571,828,697,759,727,506,770,948,781,976,210,230,897,229,055,
962,924,611,762,327,656,797,149,667,523,752,995,234,721,932,588,039,966,799,
570,571,720,951,560,821,489,235,049,001,803,215,811,633,526,793,757,910,669,
397,661,821,105,112,442,687,120,589,328,531,599,639,465,374,846,328,872,047,
749,530,449,024,720,767,290,127,282,225,397,523,023,802,862,238,845,027,477,
660,366,975,577,580,239,315,984,523,668,998,519,331,474,899,673,899,159,694,
452,713,175,115,278,041,818,025,742,173,511,540,259,847,587,095,249,703,162,
141,828,539,727,666,961,530,027,075,359,817,581,423,691,078,726,374,665,943,
017,424,642,133,749,479,080,544,577,952,454,143,401,932,082,308,997,472,560,
603,542,620,342,421,141,536,816,051,972,973,127,141,146,868,020,570,076,717,
635,526,109,780,364,934,858,820,524,028,302,451,027,064,109,656,447,688,960,
421,923,478,311,475,056,106,488,427,601,202,613,134,945,130,745,694,047,650,
058,889,955,682,310,742,994,103,880,107,466,053,210,461,058,961,243,889,860,
170,141,975,649,508,712,119,908,972,287,843,528,389,003,732,364,931,492,860,
312,483,873,236,984,715,872,508,658,184,528,650,972,895,208,682,351,652,947,
425,423,024,369,364,072,906,240,397,379,403,636,860,486,464,514,175,371,146,
986,682,243,120,874,222,412,219,551,383,477,492,148,180,320,261,940,681,056,
627,220,074,245,599,170,571,005,521,732,376,157,397,832,692,050,720,539,993,
573,392,896,497,142,921,982,888,252,220,849,528,379,832,306,628,361,002,301,
200,068,282,015,226,327,450,284,185,716,042,946,046,427,907,432,332,802,298,
560,343,558,021,914,138,530,203,587,052,966,483,556,478,371,769,685,462,853,
684,448,725,017,236,000,714,025,720,547,536,060,423,470,379,332,203,024,620,
280,232,745,620,661,171,903,938,770,113,917,031,851,797,172,343,377,651,007,
217,422,755,779,506,151,203,089,195,432,224,036,184,597,333,844,152,068,847,
066,518,894,197,736,936,668,044,743,301,685,205,579,577,788,428,395,326,769,
734,411,962,594,687,601,704,725,832,757,082,663,398,851,285,798,082,110,414,
257,149,232,290,547,843,773,225,409,893,928,364,428,803,391,261,183,069,998,
918,061,158,198,701,993,383,469,282,261,642,272,199,042,605,176,488,410,653,
946,267,665,727,236,726,238,428,525,187,912,885,199,336,608,344,674,527,812,
881,522,407,529,890,244,727,606,458,533,716,354,759,879,606,607,346,581,355,
295,780,145,498,150,810,284,634,842,686,345,680,877,973,547,168,642,470,514,
843,053,200,644,289,143,958,617,375,071,867,229,722,901,022,253,177,640,900,
735,241,066,595,981,588,958,955,352,566,902,972,642,032,958,359,393,835,368,
382,334,184,349,047,216,960,869,445,509,734,591,615,844,251,434,762,031,491,
858,922,085,222,030,173,601,152,438,732,691,328,552,993,977,895,033,645,443,
007,819,429,953,036,300,876,315,121,259,545,151,302,455,720,862,302,488,497,
576,584,937,786,329,606,535,457,266,303,110,386,472,840,093,198,188,652,161,
146,316,260,807,621,554,842,093,912,938,722,602,769,722,199,816,348,410,833,
280,043,531,314,975,930,439,331,285,358,631,884,452,176,106,882,829,610,359,
381,697,145,556,616,816,980,715,685,428,327,646,977,317,073,304,070,581,668,
856,397,668,001,460,362,778,759,585,206,808,965,181,113,106,174,687,093,474,
236,190,766,225,443,524,778,003,777,140,123,216,082,802,528,444,661,760,570,
725,035,682,272,769,570,467,460,317,744,277,285,526,480,306,602,492,291,482,
153,328,771,705,954,069,750,618,283,446,176,383,208,698,978,075,574,509,469,
077,503,821,900,097,659,190,941,869,400,491,735,917,557,935,550,768,747,846,
335,826,213,923,162,987,708,032,508,296,752,541,708,724,970,195,287,941,805,
389,550,882,332,330,159,780,826,189,228,155,511,672,333,667,780,961,059,017,
942,920,878,646,313,969,176,994,353,300,878,591,171,970,498,752,294,251,813,
661,918,601,409,799,671,836,751,842,354,633,398,035,733,224,371,876,118,820,
449,039,527,616,946,626,403,507,483,008,211,648,879,301,626,485,158,543,448,
172,803,935,924,777,918,034,744,037,822,792,830,203,050,032,082,802,934,432,
327,180,748,969,633,314,446,287,513,037,476,354,175,118,454,323,134,007,285,
990,562,258,379,268,967,479,929,369,852,593,563,572,725,940,979,385,034,764,
320,994,183,494,277,040,627,001,610,610,277,357,537,222,353,537,873,482,770,
024,835,258,536,256,861,463,069,377,402,126,063,917,687,690,499,510,051,431,
800,831,628,976,210,923,884,353,037,301,101,866,791,682,549,008,942,552,040,
939,308,214,944,614,688,583,929,390,022,183,224,376,461,766,046,719,237,663,
237,133,027,206,256,023,149,590,824,962,447,083,922,955,715,636,266,012,389,
914,197,223,653,169,401,603,938,205,639,076,620,835,570,901,291,341,948,749,
482,146,986,533,518,697,607,610,869,337,074,540,984,548,147,665,037,482,416,
268,511,326,395,152,054,004,084,433,982,358,890,995,500,172,589,049,055,243,
991,848,313,585,841,372,432,609,949,317,505,702,428,764,426,513,859,400,527,
495,453,565,804,849,329,556,084,709,634,898,600,207,427,046,758,700,489,479,
503,876,975,686,756,605,176,078,952,163,134,311,581,163,267,146,537,927,090,
325,003,557,010,217,260,120,412,929,596,799,743,577,101,553,947,761,202,880,
162,753,955,470,579,513,553,924,598,138,915,848,373,425,262,532,626,705,942,
194,331,691,309,658,070,870,696,803,920,373,492,634,224,896,798,370,616,226,
718,131,874,668,857,920,167,352,166,640,444,933,632,621,546,518,858,818,020,
576,246,328,941,520,513,814,263,134,143,996,392,266,332,657,129,795,873,924,
198,169,809,561,027,062,095,944,929,414,917,535,505,837,138,104,813,755,425,
358,403,199,152,631,082,379,724,839,914,106,460,317,352,663,404,758,650,585,
186,651,155,582,494,935,127,234,514,893,576,055,519,812,598,474,038,796,478,
328,349,826,457,936,816,259,454,940,121,334,427,926,000,834,370,668,706,728,
042,209,874,425,010,018,545,239,588,314,769,877,739,946,467,867,423,101,740,
890,867,148,323,304,409,609,256,652,208,912,228,517,533,203,041,221,440,082,
711,577,415,928,410,064,862,561,275,327,739,552,500,837,435,555,651,863,983,
271,529,655,878,943,086,002,427,286,530,070,282,728,848,778,489,017,266,370,
868,222,045,922,960,762,023,875,832,225,220,332,684,694,236,484,646,069,039,
137,025,028,119,456,150,478,305,612,384,665,269,390,048,869,634,481,055,794,
813,046,121,947,642,169,192,409,920,012,939,421,644,936,451,952,634,665,502,
485,170,325,791,870,179,686,255,279,842,806,728,176,273,684,761,947,686,042,
489,176,409,539,288,979,012,233,368,479,188,194,233,485,378,691,593,554,657,
839,718,674,686,030,655,871,562,606,505,961,890,854,039,985,180,029,655,504,
205,405,693,311,488,965,396,950,180,666,099,303,895,819,147,326,547,469,017,
048,547,610,691,160,194,187,154,114,526,186,733,689,097,762,528,269,853,216,
854,022,472,779,962,143,859,512,168,903,797,285,704,891,327,578,754,244,278,
516,600,575,847,328,374,239,010,393,886,670,174,845,708,875,342,280,435,101,
786,401,530,081,818,322,793,146,521,941,567,644,485,358,392,110,425,693,247,
481,173,331,312,228,895,890,669,443,580,362,025,332,717,839,996,891,357,112,
339,585,734,088,702,594,931,774,465,483,648,974,371,291,566,034,683,079,915,
490,967,396,232,966,360,127,382,298,816,395,804,513,603,288,012,041,526,264,
287,887,591,355,885,971,766,788,090,184,355,737,761,236,415,282,792,024,957,
051,950,624,310,665,692,060,233,405,377,897,191,425,540,182,584,396,787,402,
562,273,905,445,558,612,571,196,159,721,064,247,301,777,363,521,254,903,376,
461,081,515,962,599,398,788,644,258,377,405,191,868,530,240,089,514,291,963,
112,846,846,393,050,983,865,303,305,884,115,870,705,665,844,876,641,022,624,
003,176,218,878,941,002,679,848,786,986,132,957,410,045,506,321,941,907,033,
079,043,243,886,741,257,609,903,722,964,117,384,558,741,609,382,071,725,999,
087,141,545,187,607,952,561,126,209,510,914,683,051,780,123,460,835,801,702,
265,856,480,612,957,061,832,921,515,920,024,873,651,086,635,288,136,700,883,
405,001,565,965,786,317,676,829,180,201,588,761,829,316,810,577,958,314,523,
775,890,767,643,427,326,020,760,527,897,510,399,215,073,455,163,125,963,321,
466,537,440,520,207,638,774,409,681,813,702,307,627,279,256,795,834,260,574,
857,680,030,898,566,488,610,891,388,692,249,496,688,703,698,200,753,191,773,
665,351,226,611,422,636,373,912,493,062,684,569,933,032,585,340,618,084,721,
854,792,534,153,382,624,989,337,263,577,847,293,581,549,424,581,976,220,865,
136,883,572,314,713,826,361,301,653,793,061,658,844,818,989,507,819,046,141,
322,921,579,880,819,353,864,562,439,713,063,786,542,619,865,776,060,073,175,
819,255,538,050,608,488,978,181,123,711,573,583,344,559,623,810,278,947,956,
437,336,094,295,278,925,961,124,344,600,321,538,678,483,840,287,614,978,129,
262,984,749,730,042,119,946,188,166,297,902,093,152,743,405,442,600,096,752,
959,348,007,795,210,319,376,986,099,687,543,131,972,106,370,249,298,743,656,
393,652,994,680,436,355,418,340,218,577,017,895,603,495,136,284,018,212,756,
932,600,178,807,539,838,251,791,686,976,958,087,145,060,620,160,066,049,480,
389,624,195,440,792,250,355,626,747,554,039,893,589,604,164,553,375,192,540,
396,670,969,843,194,083,422,233,327,714,721,585,217,661,398,418,145,872,238,
086,705,082,449,171,857,735,751,430,467,886,002,336,817,261,052,180,243,341,
858,656,854,354,637,651,739,221,006,882,059,367,210,235,925,962,886,083,246,
135,630,084,706,563,683,037,905,594,802,525,796,687,357,153,596,956,135,490,
910,956,670,607,762,051,668,660,145,955,273,401,329,397,029,737,880,552,824,
947,055,584,731,404,717,063,760,991,300,297,351,545,276,266,508,698,071,170,
673,794,830,305,200,097,282,023,825,389,322,597,771,426,843,860,196,109,377,
583,332,528,059,834,346,709,522,281,548,041,406,886,489,396,753,824,744,394,
425,693,643,875,388,576,130,521,469,057,184,493,600,819,484,284,781,510,996,
413,823,359,597,741,918,918,558,132,006,434,783,731,755,495,092,057,098,990,
737,048,446,071,908,189,628,043,834,725,460,858,684,479,792,572,338,432,403,
478,289,553,650,714,801,860,894,802,558,285,238,366,004,524,237,097,273,256,
933,295,589,622,192,574,513,277,967,312,886,190,607,542,783,271,182,214,419,
770,757,779,561,208,656,094,524,838,178,524,108,443,169,310,242,618,474,827,
343,179,832,135,222,766,725,084,028,469,227,748,894,397,921,537,844,635,377,
888,160,519,503,495,770,210,131,199,600,885,629,632,518,906,918,847,180,154,
394,410,847,800,210,505,284,645,542,623,454,568,840,830,954,147,687,747,794,
201,134,093,243,166,605,042,099,928,201,673,200,559,346,494,023,864,946,702,
657,175,284,568,878,169,910,920,708,057,135,915,215,081,774,483,005,381,019,
958,090,490,118,105,583,597,048,409,158,069,244,295,609,287,334,279,544,875,
497,561,301,269,533,348,977,380,724,499,092,728,031,779,809,525,276,186,036,
561,051,019,429,018,299,810,887,956,430,327,230,600,191,487,391,159,107,653,
842,353,125,341,532,845,316,132,288,977,891,799,796,373,806,982,882,229,401,
507,895,471,227,057,590,110,269,244,739,466,025,657,349,581,823,682,005,431,
285,294,364,162,873,467,053,310,216,774,019,251,188,065,148,753,969,504,587,
096,915,423,006,093,322,716,465,572,481,541,425,896,931,837,479,117,751,032,
673,485,271,559,217,645,407,483,175,806,918,417,279,429,214,901,517,790,776,
826,140,036,505,317,977,317,251,110,370,875,791,564,886,132,735,931,865,262,
137,370,507,638,961,520,331,265,471,420,942,272,133,610,642,490,025,242,258,
448,316,727,364,457,770,890,664,389,474,581,963,670,770,490,664,189,483,686,
601,973,998,361,139,395,798,754,931,600,683,831,317,394,633,064,602,403,215,
241,872,753,942,039,397,199,525,259,422,244,187,483,705,074,982,637,858,753,
935,400,905,819,033,107,499,923,161,973,412,738,542,118,485,755,162,142,674,
162,575,947,511,073,712,759,857,714,859,207,444,342,111,926,841,800,669,412,
189,649,202,898,475,270,293,565,244,041,783,931,848,539,916,344,122,448,692,
254,438,991,162,811,269,429,882,398,753,169,678,470,296,155,795,828,642,095,
987,929,334,141,426,569,921,336,331,588,458,803,608,554,210,064,135,995,626,
349,660,584,790,478,298,457,045,855,864,937,029,260,908,974,054,298,812,948,
689,273,012,581,380,804,234,307,044,851,414,569,181,657,741,377,320,216,350,
901,632,768,041,111,351,681,628,385,596,346,473,813,449,846,553,885,520,636,
818,267,215,127,398,045,982,879,781,793,617,773,775,725,354,653,060,485,856,
366,943,651,402,001,941,236,589,164,352,194,838,303,642,898,171,026,916,411,
332,725,087,349,581,809,617,013,949,670,223,647,611,994,398,177,843,503,160,
927,790,554,709,951,671,688,902,222,121,274,827,274,092,647,230,230,563,561,
288,509,945,768,652,294,500,797,934,282,444,269,687,549,670,070,250,437,903,
203,003,382,117,719,792,484,285,644,610,837,735,685,925,041,240,496,197,862,
301,670,347,415,883,623,014,209,521,434,387,425,775,618,165,982,247,071,855,
897,051,972,865,914,243,187,733,720,124,331,449,248,975,978,673,778,582,237,
388,255,210,641,556,112,643,163,638,182,012,764,434,954,546,436,376,259,832,
456,419,063,197,977,610,874,593,022,297,799,832,385,269,678,577,667,069,169,
384,202,487,715,479,528,495,966,621,971,898,624,936,869,923,758,260,992,322,
460,344,598,968,044,053,147,003,555,141,594,555,251,558,593,826,567,298,557,
821,478,294,635,527,426,562,828,647,091,342,120,708,868,307,892,885,612,690,
802,449,291,427,256,198,294,210,365,941,316,041,659,520,480,995,756,471,745,
837,682,195,341,573,185,139,953,176,288,820,823,447,487,561,128,778,607,939,
720,233,721,262,175,863,029,746,497,833,659,508,489,178,569,567,245,739,141,
404,097,419,935,968,805,822,106,704,699,216,278,691,746,294,604,238,356,325,
509,857,627,690,903,419,279,024,079,699,603,113,974,653,315,537,964,980,249,
366,699,067,643,276,938,303,426,608,962,499,130,766,759,056,999,756,147,157,
017,151,635,870,371,146,655,727,269,069,024,619,903,438,358,039,902,084,105,
148,937,322,626,569,366,900,060,916,785,117,967,333,560,021,695,074,815,112,
000,921,483,833,265,840,890,062,989,634,858,413,375,476,131,979,720,124,555,
944,746,851,090,816,731,551,990,041,065,327,353,202,992,905,882,967,303,692,
891,915,425,999,253,248,517,532,583,940,602,930,498,331,960,098,289,667,790,
005,919,659,146,321,038,454,057,126,587,039,541,993,517,701,057,177,297,860,
904,051,449,871,469,247,812,004,833,361,454,179,314,790,401,749,654,582,022,
192,326,289,555,016,225,954,155,134,608,715,400,816,179,836,114,960,044,361,
622,334,735,168,168,880,945,444,146,770,782,082,891,754,368,033,048,317,455,
873,317,017,558,608,265,533,615,830,842,973,107,185,863,468,092,155,564,315,
465,652,447,330,455,613,046,277,892,992,496,158,383,319,663,731,132,810,957,
715,221,381,051,269,955,631,517,185,733,745,423,753,674,255,120,349,233,104,
172,355,250,708,690,219,634,521,137,806,453,293,418,855,410,049,365,252,931,
771,507,643,864,043,326,336,312,291,522,855,382,335,089,062,390,209,367,375,
919,015,049,151,840,500,424,762,742,367,207,386,086,026,567,330,699,218,744,
969,348,065,465,045,830,321,094,484,193,162,283,709,921,176,935,401,852,712,
472,328,475,776,546,197,406,525,064,922,052,520,963,351,900,162,908,946,980,
373,413,045,709,103,977,436,500,049,979,609,455,354,480,710,307,480,025,059,
012,898,846,160,639,453,540,593,822,608,568,268,057,642,790,351,732,578,140,
879,639,407,808,891,845,538,225,874,819,658,940,696,554,040,073,412,705,129,
217,397,445,195,455,631,010,706,255,949,619,685,329,096,100,941,659,330,590,
898,086,351,776,938,944,424,495,943,361,582,884,351,154,599,852,181,543,362,
687,093,281,571,958,894,148,795,145,396,781,068,812,506,388,539,233,569,430,
415,347,791,136,893,589,851,781,236,950,833,122,445,080,232,298,391,039,852,
721,643,505,141,514,513,289,843,722,194,594,117,931,351,225,188,729,933,480,
965,861,296,459,321,910,358,044,822,298,365,910,338,764,663,519,074,655,822,
593,953,921,344,177,165,926,619,454,706,298,720,566,266,265,405,423,873,920,
889,471,996,270,101,407,771,439,620,537,869,598,831,976,568,538,816,324,470,
313,720,660,725,813,656,999,196,005,542,000,626,856,692,971,353,473,683,345,
834,570,691,765,630,852,671,305,387,098,175,708,754,205,816,722,989,136,819,
697,435,161,734,852,854,368,643,341,225,239,981,577,792,390,397,299,003,168,
402,658,681,496,548,894,036,803,465,395,943,828,153,411,355,478,637,511,809,
789,048,222,766,162,636,199,356,571,366,219,570,324,017,842,332,600,122,711,
287,345,704,743,180,966,558,298,765,495,097,039,431,201,964,058,499,948,836,
180,398,017,008,452,883,684,662,553,020,047,936,576,184,925,612,763,048,502,
203,395,011,168,376,035,476,278,321,009,501,541,850,800,126,891,367,972,534,
860,696,146,497,981,823,636,305,289,384,152,945,971,316,275,715,633,191,622,
707,980,260,794,440,515,704,849,387,579,933,022,098,135,233,706,581,203,451,
902,516,396,881,850,552,287,562,066,342,731,696,762,259,088,622,067,667,963,
025,805,067,794,234,403,500,315,509,177,779,365,765,436,891,774,344,316,421,
045,360,421,279,234,675,483,933,268,565,217,494,531,905,313,130,095,557,183,
168,416,047,069,879,966,480,381,613,612,802,361,733,104,495,066,951,834,700,
322,959,931,683,466,979,123,906,234,053,711,988,616,809,146,914,378,419,094,
050,043,724,666,398,626,442,382,353,253,363,263,273,917,282,270,027,579,626,
983,839,148,815,314,760,665,041,857,614,484,367,155,907,710,658,080,334,489,
986,800,220,112,656,531,189,759,413,611,404,593,290,059,034,772,274,439,902,
245,995,444,425,750,167,105,896,296,771,541,139,470,053,672,270,492,401,255,
053,526,757,235,910,299,870,780,731,364,076,741,186,532,448,375,008,735,465,
733,562,192,737,911,198,623,533,440,808,920,070,631,096,704,376,508,298,442,
398,085,787,393,138,919,375,928,781,872,746,046,081,147,646,104,603,874,996,
757,152,514,277,014,292,976,735,591,183,904,136,376,843,505,019,170,366,672,
134,202,664,058,932,189,996,781,913,001,215,268,262,530,770,895,192,297,664,
951,908,893,322,591,527,435,818,976,264,982,846,935,663,269,441,984,232,458,
264,722,954,290,797,010,659,989,900,865,547,822,868,936,921,068,209,118,249,
303,585,106,237,061,993,097,740,152,586,384,160,666,382,313,129,801,814,067,
116,342,795,774,191,488,680,718,538,086,888,056,647,878,373,989,396,609,199,
911,263,735,766,737,015,487,158,075,059,310,790,032,938,956,886,933,039,649,
042,495,914,909,457,346,015,464,709,760,117,489,776,113,090,173,384,374,356,
644,093,893,847,543,784,422,647,451,881,464,795,117,884,136,367,955,408,257,
805,106,424,636,244,934,297,164,181,720,771,254,695,452,767,494,502,282,673,
050,401,423,600,533,672,617,016,494,257,543,385,589,538,612,943,074,073,385,
729,195,128,190,530,949,529,412,435,617,834,658,570,688,077,203,115,063,198,
480,738,240,652,076,544,393,282,788,421,266,284,827,222,626,210,265,480,592,
832,302,589,869,763,127,529,955,497,514,804,152,401,306,336,397,230,937,117,
017,731,027,520,187,943,839,636,356,648,267,907,120,024,964,664,107,255,304,
201,721,064,663,075,560,361,238,014,873,602,898,436,466,072,546,098,502,944,
924,447,931,450,146,703,278,611,899,932,765,849,122,524,445,813,448,908,364,
950,854,134,863,388,289,169,590,703,921,460,430,924,966,438,542,980,578,184,
966,050,621,009,760,773,473,173,102,170,058,397,362,369,779,221,735,833,614,
393,636,338,498,828,946,079,848,656,438,174,516,038,934,103,458,616,868,776,
858,058,826,918,520,229,351,571,228,946,448,888,558,627,726,457,350,411,507,
602,748,594,208,875,030,632,880,500,236,829,555,977,017,629,959,082,383,119,
866,169,892,656,774,830,719,653,860,920,884,695,109,117,196,513,220,588,180,
308,851,864,562,339,792,593,035,587,977,181,297,551,875,553,164,434,992,488,
620,983,115,157,144,768,690,486,074,152,767,106,605,281,905,874,855,502,334,
312,249,399,405,929,427,824,088,600,285,100,638,168,121,361,919,615,612,595,
513,324,823,302,371,827,477,109,700,777,668,970,415,091,239,614,818,807,583,
843,889,205,109,826,535,996,122,809,865,506,793,113,322,193,123,501,800,674,
876,869,682,687,156,305,873,444,094,400,411,443,832,260,236,313,472,255,346,
669,989,320,146,370,936,161,806,117,152,939,165,688,200,244,568,244,250,828,
440,195,339,644,063,360,906,132,031,758,332,601,938,853,131,927,452,576,324,
745,632,542,857,411,679,178,200,732,494,165,223,604,198,906,132,925,309,035,
459,542,782,218,476,554,425,288,681,795,252,086,778,020,950,332,574,572,003,
428,971,061,034,674,632,955,338,475,494,185,646,396,820,126,696,890,357,304,
436,184,206,463,660,863,867,677,778,028,740,420,147,881,624,872,949,848,815,
662,950,136,130,323,171,655,760,794,266,935,544,974,087,241,370,281,882,467,
016,812,429,959,057,248,275,053,482,203,452,361,370,797,458,331,018,756,543,
067,621,779,373,286,814,225,801,889,871,423,238,065,890,717,526,401,107,348,
139,724,337,882,321,028,865,930,462,312,456,396,580,682,547,954,807,254,794,
670,406,071,566,627,921,855,302,879,932,095,923,344,309,836,290,493,065,217,
870,434,336,173,030,018,388,074,178,880,045,239,810,575,904,348,831,187,593,
449,599,471,320,113,301,683,582,071,398,470,942,226,192,352,188,178,741,617,
504,667,203,142,736,224,321,047,773,773,429,714,433,431,422,262,567,857,233,
339,681,884,996,141,531,380,395,360,234,905,680,419,579,332,352,751,768,978,
255,642,268,339,084,179,698,669,356,689,050,107,893,556,892,974,492,349,216,
659,462,096,068,338,105,547,323,762,779,172,953,457,704,986,825,473,169,946,
740,870,302,638,660,985,705,135,119,904,262,959,469,989,292,767,841,573,321,
341,638,183,194,623,975,575,694,998,442,354,159,535,322,250,020,820,733,486,
920,639,875,367,599,264,517,607,897,891,526,643,102,342,345,524,382,834,815,
435,429,831,624,732,234,242,855,142,818,293,380,003,476,016,960,958,034,920,
802,958,019,479,214,207,058,221,293,240,205,811,687,176,937,778,132,948,547,
842,048,117,252,855,107,851,634,954,937,753,906,375,959,161,861,822,589,164,
934,255,212,238,173,466,081,825,186,743,237,024,031,435,123,871,471,593,956,
465,436,652,423,935,411,528,103,294,583,127,383,052,038,784,404,105,405,774,
226,019,603,399,026,462,827,192,180,756,337,973,455,518,422,767,802,860,980,
277,524,702,688,029,728,983,246,065,305,245,615,240,816,707,278,388,106,868,
253,036,692,125,614,399,165,899,612,078,750,272,943,774,419,188,638,323,640,
362,707,819,630,684,389,739,144,310,073,058,621,092,286,819,753,617,023,880,
809,558,334,492,204,015,859,427,455,661,206,593,769,854,755,273,445,514,839,
899,906,398,507,030,237,255,941,368,015,789,269,540,864,414,903,498,011,338,
322,993,087,989,269,593,244,947,230,079,993,548,283,879,407,347,207,572,125,
614,553,671,835,112,629,538,032,474,247,917,184,046,120,601,568,114,521,451,
754,615,645,851,051,908,259,445,313,717,688,204,460,346,019,608,677,548,939,
598,391,460,830,627,984,262,836,128,562,406,833,384,026,604,157,726,742,543,
810,850,559,959,472,089,426,326,813,164,168,916,318,894,316,497,456,426,020,
829,106,474,445,840,961,074,400,759,560,272,740,382,929,805,136,149,984,720,
223,440,601,510,992,091,620,739,413,214,425,645,474,607,004,785,050,004,703,
984,229,878,585,005,610,068,924,173,641,139,001,871,818,939,298,265,141,237,
425,893,794,674,376,646,900,160,742,650,899,332,952,666,029,709,523,274,285,
537,039,801,171,823,128,261,002,731,336,625,538,809,564,194,058,755,831,859,
654,476,713,848,356,552,537,396,909,846,566,987,482,705,971,401,135,174,144,
832,339,208,952,002,223,522,171,743,404,854,989,290,575,306,098,242,352,117,
051,507,794,513,703,150,331,909,457,276,459,955,867,737,844,541,399,141,657,
945,461,659,099,983,291,553,150,738,004,453,741,205,989,837,048,932,173,516,
513,186,950,687,508,560,814,073,043,628,548,266,257,087,493,948,884,581,720,
045,614,153,894,717,177,070,220,065,745,905,161,226,705,197,389,637,563,958,
779,925,040,330,431,308,389,513,288,872,123,691,802,095,735,111,899,714,647,
649,354,525,165,510,920,335,835,225,049,615,195,664,747,988,845,664,334,980,
124,145,633,926,201,990,359,121,974,140,374,732,644,519,127,694,517,219,551,
331,243,732,706,620,693,968,730,996,482,204,309,374,746,746,627,830,085,964,
824,599,516,686,298,916,453,731,439,257,452,389,026,780,918,083,790,186,998,
593,504,028,810,973,510,443,766,756,876,075,519,900,085,343,561,843,423,774,
659,443,492,128,393,034,106,166,428,668,806,820,267,797,305,125,851,807,885,
750,725,629,957,184,542,253,138,341,137,161,616,189,119,122,713,621,203,383,
585,450,130,599,969,593,947,828,676,939,395,331,528,359,150,067,243,934,937,
267,478,660,638,982,098,925,502,600,349,767,834,808,989,721,228,211,620,317,
671,778,854,997,733,120,540,091,207,747,337,921,372,708,709,484,355,858,811,
480,293,270,947,802,140,659,496,087,381,430,580,773,465,123,623,293,151,268,
117,385,410,350,064,514,119,932,130,008,956,465,084,831,519,367,522,669,159,
698,122,634,725,298,320,480,361,140,864,387,474,253,820,503,973,279,726,885,
475,717,238,092,894,554,155,805,765,043,743,338,289,074,864,152,226,375,605,
804,138,318,646,014,192,970,018,705,652,658,867,610,355,320,155,009,004,337,
057,580,606,100,580,846,744,356,769,690,105,900,341,762,048,868,802,565,513,
661,463,524,991,410,716,525,315,310,035,378,604,932,401,936,059,129,371,397,
385,435,452,144,343,582,103,383,702,645,216,872,819,280,420,988,814,145,381,
339,117,227,117,853,727,451,878,275,898,810,477,060,526,775,024,120,550,409,
897,640,603,083,684,877,056,892,322,629,802,653,073,600,001,102,012,318,378,
449,334,011,528,065,956,855,269,828,827,001,140,758,715,688,175,097,106,121,
445,292,703,085,793,462,659,109,251,052,242,649,388,990,646,629,898,386,876,
988,889,722,316,086,885,854,961,369,428,403,972,618,254,300,616,328,969,471,
882,892,376,701,960,056,229,600,329,590,331,946,068,612,160,505,412,451,168,
578,693,749,229,436,182,882,738,306,109,111,456,109,359,355,103,288,118,890,
183,703,927,357,601,231,167,468,809,790,482,010,252,649,219,298,496,752,709,
076,641,165,453,330,982,584,214,882,864,827,470,021,828,839,963,909,747,486,
408,364,559,012,654,889,662,153,774,314,496,350,986,376,290,757,527,450,002,
506,557,699,703,945,646,972,473,481,920,851,347,992,247,270,427,208,156,219,
284,815,188,265,499,543,424,580,576,876,500,953,069,537,688,916,591,061,595,
756,680,840,422,395,389,806,446,785,294,403,611,730,894,968,834,861,522,989,
430,048,231,104,442,898,060,491,880,587,544,607,881,284,140,480,592,193,400,
087,935,715,280,996,859,503,540,461,762,929,920,886,677,548,750,869,731,573,
962,273,754,210,403,911,240,844,184,675,098,652,444,504,646,958,037,418,916,
573,417,765,878,481,713,161,431,616,794,866,876,553,580,246,215,129,681,442,
925,425,601,285,419,989,785,791,720,635,804,169,897,431,059,075,826,352,229,
494,135,405,322,658,123,841,697,127,976,270,289,899,675,394,764,423,110,372,
841,397,398,865,204,219,174,366,975,219,804,542,242,000,206,701,634,632,226,
604,418,719,823,428,000,333,097,785,955,440,326,329,287,461,228,797,318,463,
582,871,982,654,863,858,324,103,157,780,868,949,707,923,010,627,499,499,085,
146,739,166,495,674,698,387,171,126,784,817,955,500,781,121,443,217,592,996,
134,601,225,335,074,285,268,567,135,002,909,267,721,509,175,146,934,657,948,
556,310,132,540,576,492,414,723,777,449,024,815,849,253,062,451,952,642,147,
278,545,778,997,990,943,990,673,716,529,306,672,260,473,878,228,325,857,978,
143,299,962,551,140,185,276,983,413,290,171,619,692,079,030,271,983,660,162,
810,953,508,990,010,178,778,502,787,276,547,705,412,524,022,699,376,955,781,
448,900,252,554,206,770,353,555,090,142,771,573,820,156,616,084,366,230,587,
870,273,260,272,836,285,179,322,286,855,614,070,521,341,381,420,987,887,772,
887,473,605,080,933,354,332,506,801,495,460,343,113,504,394,623,067,500,154,
847,298,178,346,183,378,091,428,176,888,381,914,928,616,335,057,643,196,899,
446,073,276,112,528,626,355,720,519,335,619,039,137,199,723,730,673,695,680,
035,300,488,485,840,864,112,053,548,731,505,862,374,090,602,526,703,747,106,
388,508,154,575,617,235,911,961,411,960,812,643,918,726,266,265,047,846,425,
366,473,987,223,674,843,702,718,964,323,585,542,688,655,401,400,936,411,895,
673,596,074,315,825,372,338,454,662,325,059,946,604,307,497,928,925,624,786,
053,626,188,759,075,814,164,743,823,413,665,195,848,763,227,572,261,331,541,
771,701,731,578,553,925,806,417,699,384,902,101,792,085,788,137,765,191,344,
304,893,084,402,593,746,481,909,552,454,803,508,583,771,927,941,470,400,558,
686,842,998,022,808,765,868,206,633,117,521,544,935,135,211,588,543,583,289,
682,878,919,319,911,148,588,125,818,594,083,101,908,834,907,268,830,698,197,
882,085,847,085,621,173,799,723,549,144,456,529,269,869,535,803,193,177,192,
207,039,704,918,801,018,758,699,230,900,664,542,087,810,442,119,849,083,609,
528,622,102,787,688,278,810,967,724,869,477,160,257,249,065,729,348,952,200,
597,258,829,045,705,933,616,708,033,379,435,281,751,620,044,675,567,555,354,
414,688,917,960,687,110,308,826,688,094,036,773,919,965,314,962,502,132,296,
204,463,319,880,032,830,970,081,358,722,905,290,664,254,180,480,150,943,798,
588,901,029,000,650,078,654,508,459,607,286,270,049,827,391,113,370,253,427,
856,949,693,611,130,680,472,286,405,198,397,546,413,439,432,518,792,723,252,
689,796,909,722,108,347,426,281,211,947,624,485,536,525,394,274,532,583,564,
289,670,925,467,718,875,986,548,062,387,957,800,660,942,709,387,555,781,638,
728,842,240,523,032,620,478,002,656,324,451,063,006,695,316,965,425,055,803,
368,352,224,385,218,724,158,550,174,955,200,522,229,480,838,336,557,449,526,
577,609,374,857,200,078,238,562,203,688,504,206,922,584,347,309,566,631,291,
520,848,037,772,427,994,703,431,333,606,182,722,591,604,585,808,846,528,448,
900,284,603,101,694,650,960,904,060,115,789,407,588,652,604,985,225,671,793,
702,794,026,471,944,590,847,750,603,887,754,174,800,270,483,581,924,786,442,
911,048,119,542,480,143,287,880,191,423,810,231,152,854,344,294,320,563,105,
041,210,534,663,143,394,456,240,555,060,565,772,334,716,213,610,509,011,722,
032,506,290,378,037,504,226,693,419,747,445,870,951,414,731,480,554,696,736,
656,580,619,242,196,185,779,069,281,661,930,872,364,367,013,109,600,271,315,
395,935,974,549,008,443,507,419,368,987,298,635,572,454,523,160,403,487,352,
138,973,557,148,953,401,586,304,546,681,916,136,593,915,462,629,290,190,607,
465,946,491,838,352,984,415,776,145,568,733,140,878,228,824,928,756,919,183,
741,765,906,276,410,349,482,447,291,927,706,471,836,344,942,507,580,033,768,
800,968,044,838,362,048,696,291,475,038,900,851,522,069,700,896,157,556,031,
954,856,730,741,882,907,684,207,215,080,260,613,975,043,270,439,761,728,105,
140,637,525,684,231,772,910,845,457,481,645,938,677,364,813,926,785,299,871,
505,329,547,646,545,133,142,861,465,674,740,841,886,452,704,647,497,642,663,
234,146,337,559,742,633,488,402,535,653,310,396,283,990,397,558,595,122,364,
443,387,978,053,634,310,928,436,611,010,740,132,211,431,092,150,782,801,799,
322,900,034,525,569,409,970,698,364,155,929,223,400,560,444,895,892,808,898,
556,725,012,591,014,714,837,665,648,259,534,090,876,928,509,407,798,324,551,
619,667,386,867,179,389,468,812,197,357,541,279,160,856,940,785,720,449,396,
771,250,724,032,211,833,284,116,799,497,524,764,360,858,505,984,479,901,735,
160,134,009,849,607,446,749,679,514,665,035,152,977,869,875,089,372,526,998,
687,026,721,419,616,368,711,645,102,568,376,825,405,105,207,711,414,113,856,
599,803,064,448,750,433,479,427,593,562,906,456,514,521,356,744,468,332,277,
371,138,479,985,753,730,175,494,000,446,571,861,951,096,249,847,541,583,936,
893,757,024,368,462,023,658,790,211,845,342,990,052,082,282,238,360,156,836,
690,691,777,262,968,669,048,352,798,344,693,931,091,812,849,060,247,460,353,
979,749,196,026,678,084,361,586,007,941,255,393,574,206,397,170,299,702,613,
364,538,770,896,686,888,656,715,369,166,610,987,098,049,297,052,558,266,620,
444,620,418,456,002,390,614,440,215,155,707,671,681,291,322,937,365,262,938,
712,815,721,865,039,156,853,145,181,271,087,815,632,769,446,500,748,508,032,
140,226,885,144,998,841,425,642,165,271,467,580,262,478,822,579,610,122,359,
117,029,389,117,881,859,912,143,794,404,455,701,895,515,344,973,570,879,346,
253,118,672,202,505,309,447,540,719,600,941,448,222,419,282,423,113,609,622,
537,603,812,828,987,130,413,223,721,060,370,035,814,179,444,075,419,143,591,
509,388,501,693,044,060,374,917,580,990,791,534,932,053,655,908,481,893,483,
947,268,951,908,993,944,080,046,828,700,175,348,884,699,036,653,692,387,662,
289,591,545,539,934,650,152,930,287,173,293,935,291,378,694,895,291,427,635,
571,111,449,065,808,228,545,523,025,726,682,975,514,804,845,064,922,134,033,
779,477,399,530,179,064,724,652,380,025,248,735,915,479,624,415,613,574,055,
502,617,231,834,157,799,614,761,023,058,547,968,914,479,773,554,946,366,030,
495,341,197,685,750,884,686,955,432,560,482,941,068,142,536,884,994,783,818,
807,637,410,307,781,778,126,260,012,086,850,886,065,493,931,608,826,400,547,
629,658,258,337,188,204,421,148,717,666,354,050,925,391,067,771,029,340,156,
758,863,355,186,803,764,714,956,962,347,993,784,160,643,234,839,202,677,236,
320,088,759,536,298,928,702,288,954,924,225,838,174,473,738,921,165,301,461,
936,294,104,471,223,176,423,751,723,651,745,102,667,845,277,440,376,085,923,
408,835,654,911,125,168,248,567,410,608,907,220,781,492,138,138,048,102,353,
695,111,891,039,406,911,657,700,368,292,992,828,123,483,896,314,202,813,629,
912,837,833,615,209,728,338,057,511,472,361,565,884,297,188,597,841,658,615,
373,564,256,630,240,706,919,709,085,303,228,268,077,335,547,646,217,611,185,
875,050,839,133,970,530,708,985,730,898,719,348,395,558,346,087,778,979,508,
988,677,787,808,584,350,996,662,161,174,933,345,060,824,617,215,476,200,111,
452,228,594,684,606,555,748,466,523,037,464,543,043,260,320,579,001,518,663,
799,362,346,646,511,391,723,205,373,845,104,996,345,167,915,573,567,258,920,
526,619,066,678,754,673,661,046,961,498,077,939,688,983,816,114,353,795,698,
703,548,736,433,173,690,395,860,526,589,399,571,951,871,858,888,464,197,560,
764,856,269,801,969,786,240,743,120,491,749,681,639,701,978,696,540,223,896,
844,197,961,621,642,508,452,477,241,112,009,007,154,500,062,521,107,360,866,
209,489,149,964,937,073,392,440,536,425,630,503,622,062,880,488,360,853,054,
720,512,509,167,920,312,170,053,723,997,611,829,108,760,171,733,063,820,661,
995,969,297,306,521,883,292,777,417,160,964,532,302,642,531,532,463,595,805,
462,872,190,660,738,095,442,375,619,087,207,528,442,416,598,039,420,471,914,
600,418,764,222,158,368,207,697,909,656,667,609,249,100,235,633,591,194,974,
726,665,047,389,854,283,949,444,452,501,672,926,207,088,209,505,942,860,342,
283,381,827,154,400,130,006,220,982,493,330,326,817,808,801,379,193,150,055,
257,235,821,782,160,127,661,455,609,517,336,586,475,713,742,015,447,844,941,
098,386,743,895,508,552,716,268,676,487,574,909,280,429,100,720,432,614,069,
528,191,737,145,213,949,593,322,745,831,650,374,880,587,626,365,336,538,803,
604,380,643,558,496,155,669,345,280,377,418,591,418,838,769,714,132,359,388,
216,814,152,121,737,029,979,280,964,853,029,739,333,289,042,348,168,021,020,
568,969,972,048,193,952,164,167,143,590,711,914,802,684,381,697,901,224,774,
226,307,134,353,451,824,430,694,739,793,395,947,270,139,818,809,058,433,796,
385,186,394,231,141,948,043,219,121,886,541,859,873,604,783,664,821,178,643,
608,409,100,905,354,865,261,499,878,392,795,051,015,812,792,632,162,469,286,
854,025,280,265,398,460,744,786,656,432,800,963,863,291,006,598,218,932,150,
106,842,987,446,741,220,093,481,854,549,680,287,436,513,816,287,304,311,713,
921,531,722,994,783,390,937,755,878,894,490,656,582,999,610,773,615,783,642,
634,184,140,604,597,891,360,315,639,938,067,372,030,522,765,105,342,529,108,
144,125,637,191,225,526,659,251,272,023,952,255,016,516,485,730,705,666,738,
372,393,412,955,144,870,372,752,817,748,022,336,170,075,148,593,676,028,675,
425,389,470,954,044,326,164,272,633,991,443,847,118,302,093,420,843,174,210,
037,789,816,627,088,077,503,190,753,377,241,016,819,138,967,829,899,118,497,
761,059,969,755,852,540,123,004,694,041,692,212,479,621,065,708,973,897,554,
776,533,304,833,982,252,971,970,941,682,756,777,696,763,189,061,370,080,321,
260,431,777,424,189,911,615,250,268,641,139,312,544,886,509,877,294,538,948,
726,166,695,521,442,602,265,452,637,865,511,313,227,228,273,432,239,145,430,
797,999,496,980,199,017,943,785,876,318,213,855,688,298,648,276,975,820,931,
561,881,270,757,881,119,757,770,314,032,320,056,978,790,971,317,084,533,055,
158,578,920,704,534,534,694,000,508,655,999,306,339,926,897,857,767,052,483,
956,857,784,746,942,368,467,800,156,336,622,194,554,328,547,655,156,732,380,
131,124,663,384,826,388,667,847,849,423,679,003,880,353,757,346,278,671,379,
966,739,655,716,116,740,113,772,370,437,508,585,563,970,770,640,637,272,248,
789,824,001,319,862,544,188,198,354,886,372,184,321,835,616,157,865,800,396,
583,824,840,360,087,133,458,303,494,177,196,542,132,611,979,875,960,537,125,
861,324,484,100,434,370,396,604,201,856,811,268,005,599,650,711,511,523,687,
681,726,750,677,937,952,657,375,818,990,397,028,397,529,633,936,618,324,482,
953,211,618,689,031,644,248,055,420,700,923,514,304,500,454,382,828,858,605,
634,051,420,252,476,678,808,411,078,846,125,070,591,545,237,179,834,555,954,
032,776,882,748,004,286,538,831,861,290,749,519,164,930,440,496,804,442,885,
086,822,111,033,099,399,189,234,948,197,082,679,502,213,175,992,240,242,140,
268,800,343,125,981,880,313,486,861,876,036,447,120,676,638,400,287,554,545,
780,292,342,146,186,046,206,255,077,827,510,015,786,977,306,306,022,612,563,
188,696,394,208,950,226,063,516,878,281,480,710,149,477,758,276,557,203,229,
042,642,899,047,289,113,414,014,032,895,892,530,487,780,462,898,424,742,711,
639,613,596,207,516,217,838,226,906,814,440,812,001,609,867,718,417,843,098,
668,639,574,912,065,468,916,249,030,335,159,747,743,833,417,547,528,199,488,
615,592,542,143,490,586,672,788,548,047,937,816,797,108,318,826,616,958,682,
544,437,623,816,230,803,588,026,197,145,079,586,268,760,356,043,893,485,302,
337,186,950,907,630,737,132,385,607,817,612,863,441,544,559,366,445,280,832,
668,962,259,197,832,584,127,194,836,994,810,212,664,007,438,461,559,646,261,
743,588,128,277,182,007,142,506,329,047,306,871,251,521,128,472,850,466,250,
661,261,946,775,137,875,475,802,988,827,860,418,533,801,235,221,619,112,687,
069,312,677,153,183,573,841,895,303,036,758,943,350,586,224,953,786,738,064,
947,510,350,335,668,276,339,903,049,232,318,790,293,724,873,800,029,121,096,
157,960,260,522,314,435,570,912,625,711,227,812,450,887,882,367,280,858,980,
007,372,098,593,579,015,011,975,707,707,205,175,408,838,631,699,638,602,336,
858,219,513,328,093,743,806,211,224,152,120,215,199,298,417,407,951,434,797,
647,074,856,700,457,474,377,057,850,486,695,486,460,403,237,202,090,176,198,
210,243,343,645,608,661,498,915,032,588,991,148,176,454,320,787,819,089,147,
255,689,345,766,610,472,789,302,865,348,717,615,307,719,176,380,482,678,257,
385,563,683,554,830,844,954,617,141,644,661,467,590,809,004,520,808,618,268,
492,419,047,316,464,379,317,663,146,496,138,359,919,887,854,712,270,995,466,
626,547,126,044,194,027,402,218,675,607,857,387,571,097,950,761,847,355,658,
137,981,601,756,944,612,745,996,022,680,299,873,644,465,871,999,476,116,943,
900,756,446,100,350,044,528,771,768,012,536,041,442,636,643,265,087,563,836,
293,199,566,751,629,843,072,365,697,494,229,423,852,589,765,816,323,334,639,
117,961,680,459,644,538,830,244,329,228,461,818,574,854,504,401,626,723,689,
502,178,787,669,375,821,967,125,086,538,337,483,031,109,741,063,613,285,322,
153,886,076,478,525,366,191,567,139,019,781,755,189,493,042,820,238,273,443,
186,311,180,033,379,376,807,094,187,098,396,962,460,310,985,875,892,866,397,
370,230,768,092,267,848,058,230,551,851,896,123,309,170,674,547,162,447,637,
087,719,154,550,999,048,367,979,442,076,521,707,219,298,635,864,863,254,655,
253,644,491,533,829,285,313,666,554,914,862,460,405,756,237,892,776,989,026,
239,964,649,592,561,073,811,065,483,888,272,272,434,521,417,246,701,130,974,
359,705,481,209,851,094,500,126,650,816,163,098,848,174,469,355,691,306,097,
553,345,802,027,595,919,798,492,937,753,356,752,241,581,447,771,554,800,826,
104,150,214,689,045,495,699,358,568,084,062,898,376,532,172,806,261,023,060,
319,169,965,269,240,764,377,468,767,989,566,891,657,739,456,237,086,692,989,
144,836,100,337,747,413,328,187,252,381,343,085,392,228,268,080,472,130,775,
760,062,124,898,574,153,708,617,171,254,866,224,494,343,814,072,688,226,503,
462,864,256,772,753,489,060,542,501,751,810,317,670,758,009,327,579,305,490,
839,854,293,855,606,956,028,095,739,880,116,576,311,138,276,738,131,299,487,
403,756,115,484,346,999,826,570,228,280,270,838,320,731,546,759,910,281,644,
895,060,669,984,824,455,448,389,627,593,761,521,852,434,042,445,204,762,342,
342,898,950,721,800,002,510,555,901,199,037,501,500,601,358,904,116,009,072,
669,024,250,360,263,777,956,202,589,889,537,312,295,783,293,093,432,944,451,
789,402,437,022,844,957,974,560,234,619,451,458,439,923,400,149,401,481,950,
046,669,873,053,329,312,404,442,213,978,076,100,122,253,742,531,363,400,530,
838,721,744,192,229,295,480,408,369,321,498,162,771,190,420,896,128,642,521,
706,865,301,600,463,995,330,373,249,795,518,229,608,123,176,394,287,184,158,
794,588,130,317,867,491,179,670,536,989,088,009,226,692,662,224,541,731,691,
429,751,569,698,717,404,312,498,896,119,369,893,516,269,138,505,424,705,451,
340,556,045,163,307,593,544,912,610,130,434,625,003,299,613,799,467,101,796,
513,734,377,406,963,613,404,061,232,594,066,059,530,144,293,601,828,149,159,
103,615,842,289,194,906,037,692,569,280,296,489,382,518,116,076,446,938,375,
895,977,573,861,722,491,314,829,007,907,597,603,968,595,159,817,160,624,220,
722,608,424,968,505,231,950,595,776,251,716,454,977,640,907,042,166,377,132,
640,571,232,057,676,609,371,744,218,872,701,722,801,232,685,726,650,405,246,
810,654,174,393,266,816,111,200,618,789,023,399,691,653,334,559,057,767,756,
042,373,603,658,796,268,274,608,172,007,654,387,948,486,088,731,317,035,267,
381,044,421,529,737,184,990,041,982,556,357,002,277,727,584,002,624,128,551,
721,224,281,844,571,268,196,908,821,893,420,746,071,670,045,053,298,810,714,
862,817,094,355,662,936,124,347,219,498,994,319,251,450,099,113,755,590,692,
582,596,581,258,231,172,970,130,593,775,575,376,332,534,065,413,876,690,341,
724,581,325,253,877,370,969,132,349,185,795,675,666,876,226,656,999,169,593,
957,247,953,451,807,108,160,475,499,577,668,088,804,169,235,821,493,552,229,
756,608,552,030,480,300,596,163,211,017,240,625,442,496,789,144,899,417,598,
057,125,862,613,402,667,015,796,259,271,322,525,165,129,043,279,917,657,655,
809,101,954,421,524,551,314,578,563,338,463,847,522,914,921,541,539,754,682,
170,099,963,403,952,683,310,731,773,307,276,442,397,718,291,223,309,167,313,
387,029,398,487,611,757,631,614,086,668,854,107,865,605,413,670,891,002,508,
091,601,402,737,933,006,193,034,015,533,301,344,029,137,883,318,340,502,977,
452,734,204,217,239,367,421,842,906,543,322,331,912,644,893,494,847,158,663,
904,059,354,686,814,700,838,997,682,840,868,141,390,732,261,257,493,192,492,
462,894,158,169,483,331,548,230,682,618,059,651,562,451,229,709,017,012,374,
545,996,863,994,919,495,090,792,858,067,804,516,315,721,343,989,123,372,840,
447,336,995,666,759,955,345,826,292,359,713,591,129,212,379,273,534,491,306,
132,831,193,393,793,978,167,271,045,212,499,288,742,503,902,280,185,350,775,
189,692,686,106,002,648,045,084,231,653,845,524,879,605,612,367,914,865,873,
261,735,158,746,693,885,278,545,917,496,947,211,360,844,079,083,872,850,542,
030,156,352,372,685,722,373,179,621,995,517,136,992,401,774,306,020,752,230,
817,962,527,765,224,237,311,607,198,123,005,045,749,203,073,865,272,019,833,
536,315,491,425,609,189,747,229,026,094,004,225,552,516,259,222,653,313,668,
708,353,556,283,894,374,120,599,398,238,043,286,565,485,642,697,052,785,539,
134,004,651,501,737,711,139,949,738,981,656,859,186,185,611,905,751,863,084,
607,659,674,807,066,193,053,653,125,477,264,194,967,621,598,839,642,998,129,
652,071,321,376,498,476,408,571,264,646,436,728,578,074,083,760,221,449,008,
123,103,578,200,325,066,297,591,410,832,477,778,682,539,776,843,547,522,757,
969,345,663,153,958,614,041,376,528,437,229,367,405,538,283,621,018,792,311,
498,975,593,670,587,795,697,890,011,548,185,824,207,726,253,937,042,762,849,
413,447,749,461,090,894,004,726,096,411,457,715,785,558,559,118,677,429,168,
220,423,401,022,677,943,060,188,159,587,209,671,189,815,385,450,407,962,332,
832,167,245,897,910,139,092,720,007,556,126,056,547,821,077,036,289,971,216,
635,621,835,701,131,662,670,435,715,121,302,032,534,260,651,322,165,525,893,
838,937,455,381,333,984,508,994,172,717,494,843,592,026,483,674,646,880,877,
546,320,566,156,962,459,238,533,711,883,077,486,923,932,605,075,859,446,735,
367,917,429,679,268,279,489,920,589,335,550,930,344,337,935,707,993,221,765,
766,034,993,067,468,485,127,799,966,535,953,948,930,188,777,782,499,130,245,
238,218,031,438,076,971,676,134,086,972,257,880,715,474,448,925,665,775,253,
894,353,739,326,219,037,033,497,708,425,496,112,758,709,933,845,094,337,315,
316,406,216,072,968,133,304,340,604,618,321,832,694,348,438,407,754,219,851,
186,078,116,582,145,286,323,882,911,744,662,778,223,458,614,731,287,505,629,
048,921,850,215,421,032,433,900,751,171,074,002,472,505,908,017,682,488,020,
253,401,734,842,847,681,064,294,620,205,919,761,534,277,169,832,645,795,678,
807,114,982,869,463,559,987,124,737,795,325,737,078,620,256,738,896,043,611,
809,470,635,084,099,285,255,881,128,574,417,154,269,588,278,120,481,492,491,
781,683,981,901,454,813,165,503,571,514,413,499,119,406,983,682,476,630,867,
410,805,252,078,138,959,461,701,626,913,022,759,484,413,686,659,562,274,912,
972,746,697,854,457,076,454,260,126,458,517,592,491,429,268,464,880,990,808,
173,928,293,033,842,955,216,252,934,103,391,966,915,535,343,809,936,465,675,
236,116,099,086,856,761,256,336,451,738,023,193,111,290,751,899,813,751,912,
840,272,234,082,756,443,792,389,647,580,263,122,429,963,225,451,723,339,215,
113,309,000,785,761,015,828,691,609,752,867,283,563,701,127,355,899,055,312,
402,631,970,970,292,714,080,243,021,659,077,062,779,922,622,970,211,490,105,
363,579,753,297,564,193,404,200,822,667,172,826,247,269,707,640,847,784,690,
696,832,118,181,847,972,048,898,478,216,043,458,667,880,000,291,788,219,923,
992,611,806,680,840,277,756,782,056,278,067,046,943,846,469,401,139,481,050,
327,163,461,410,824,348,804,764,867,178,806,400,077,947,193,443,107,043,392,
940,785,454,853,247,039,229,714,347,115,613,781,133,637,318,147,860,285,703,
220,847,805,916,015,287,923,448,594,339,631,205,951,609,549,522,948,904,735,
943,223,013,278,725,495,867,501,279,007,756,134,761,614,358,961,510,785,272,
006,468,243,425,514,051,275,962,564,184,371,221,636,207,098,355,370,972,959,
064,788,979,160,732,414,426,749,015,031,863,301,919,388,259,077,543,636,222,
410,083,304,364,852,478,013,912,777,458,845,198,498,386,442,352,078,429,865,
127,227,691,831,342,991,837,505,645,146,238,316,892,174,935,998,653,297,987,
546,700,068,477,471,503,316,222,383,622,595,716,424,787,758,019,220,053,924,
245,848,819,310,060,061,662,423,485,997,791,912,975,136,050,971,687,083,783,
893,570,992,220,997,325,181,460,978,794,005,224,155,208,930,837,977,999,700,
349,723,528,634,596,364,237,609,745,702,548,169,497,867,798,176,465,038,260,
057,549,579,498,570,140,803,167,272,442,237,049,770,798,408,455,357,556,391,
865,201,257,319,782,077,442,682,673,405,997,350,769,144,380,812,646,766,475,
080,083,706,252,887,033,774,432,344,566,858,316,646,969,079,946,981,874,044,
609,036,147,484,072,239,695,405,836,061,992,379,622,867,193,798,530,294,969,
904,802,227,570,262,565,540,172,209,272,422,427,478,671,146,433,593,259,157,
711,570,510,772,123,053,892,082,208,481,591,161,198,101,794,195,851,909,157,
326,996,425,754,535,192,555,821,049,750,367,572,057,806,002,231,214,804,686,
504,998,544,875,164,816,529,200,246,440,747,636,304,816,346,149,701,738,156,
570,047,568,001,398,027,115,962,712,240,781,827,554,425,545,943,802,041,741,
703,700,277,080,983,421,912,599,951,630,613,039,324,353,980,709,267,767,503,
313,426,946,949,135,486,076,492,034,059,754,110,245,236,031,466,227,372,934,
105,258,214,881,455,209,780,678,596,796,523,841,515,024,589,812,847,296,867,
883,792,963,779,318,167,100,461,480,982,531,986,156,168,416,736,899,088,708,
628,615,877,386,042,796,092,363,916,122,705,463,977,791,459,054,676,251,798,
351,047,888,842,265,442,527,337,025,183,807,374,385,481,173,539,239,119,874,
111,475,104,075,639,099,697,531,771,684,654,549,196,197,167,196,660,908,373,
079,742,480,359,707,850,375,678,075,591,734,562,658,525,975,122,302,354,335,
157,260,104,991,215,514,732,192,597,156,080,208,877,978,042,907,373,561,487,
583,997,202,331,573,652,224,374,295,316,704,026,670,977,170,465,892,393,285,
045,616,209,225,113,115,277,577,271,300,717,520,688,156,078,218,969,967,646,
616,798,557,799,691,813,807,776,868,280,102,905,858,351,468,381,446,864,306,
432,372,964,868,037,270,683,091,579,865,867,702,211,601,577,478,798,645,842,
531,657,026,660,134,604,822,326,662,066,510,246,219,703,590,270,587,194,597,
167,491,973,973,666,656,429,504,477,048,528,718,464,188,831,092,233,811,488,
537,494,744,409,681,487,716,837,141,520,844,890,119,823,106,751,595,749,133,
416,600,033,685,294,064,324,536,358,552,274,251,253,911,179,375,005,088,816,
058,065,628,980,223,453,663,862,707,537,068,443,766,194,969,132,008,672,888,
224,321,539,337,042,500,966,861,169,709,415,756,395,411,283,791,928,372,742,
425,918,361,342,439,498,449,192,140,295,889,067,900,393,228,994,380,513,219,
672,431,469,287,163,840,296,415,568,140,513,560,490,352,177,536,034,584,941,
469,348,474,305,466,681,926,341,637,579,967,798,674,090,884,497,226,797,913,
339,122,355,632,895,050,309,963,759,018,216,670,199,809,640,382,380,017,431,
253,837,441,508,665,049,412,553,995,324,415,480,704,995,264,896,844,836,876,
810,392,623,375,870,298,636,633,805,632,725,056,438,001,765,150,010,286,856,
622,580,899,376,616,154,339,615,631,963,151,781,056,371,520,520,955,090,514,
385,093,084,532,541,498,564,606,940,173,440,403,193,034,145,301,476,251,070,
700,371,597,504,875,605,894,263,735,969,571,877,028,556,401,223,240,661,095,
369,276,518,438,618,048,612,586,725,977,482,268,355,704,951,828,590,901,291,
355,288,802,972,157,890,565,883,527,112,768,080,467,697,061,084,741,342,959,
550,024,163,954,674,174,376,635,195,559,954,375,559,283,847,983,057,300,403,
058,686,022,458,672,051,572,334,135,264,041,177,077,734,350,242,266,038,054,
195,246,682,723,214,505,154,262,285,367,105,483,606,040,939,100,984,422,555,
701,747,869,089,654,210,496,361,349,481,835,965,365,758,001,450,347,604,147,
113,754,899,285,878,827,977,766,834,941,496,330,356,465,679,198,680,808,508,
734,412,978,071,091,380,597,511,421,304,198,708,124,084,858,977,631,631,820,
052,169,934,998,237,596,095,887,511,276,913,535,409,762,374,152,506,900,933,
620,202,455,248,922,987,969,360,661,620,881,141,290,674,310,476,662,385,548,
157,312,966,827,653,906,298,088,679,402,718,580,368,764,636,631,201,650,303,
749,496,890,411,529,780,261,558,602,014,869,979,349,900,073,723,910,992,610,
247,099,752,576,748,400,789,326,661,259,156,674,790,682,373,876,150,248,519,
998,437,732,242,582,781,482,622,888,580,871,345,274,811,799,658,168,222,513,
485,815,289,784,094,115,341,302,175,463,662,483,463,874,792,068,623,529,535,
007,126,683,068,779,490,561,821,344,511,251,269,872,222,889,752,646,331,321,
278,897,102,564,107,876,629,392,336,295,913,605,435,529,334,064,595,916,755,
281,587,375,355,716,902,782,174,536,318,108,669,940,056,590,169,587,507,154,
884,050,983,301,061,783,549,663,609,269,979,225,860,925,672,465,781,152,438,
388,273,161,044,494,550,415,456,532,964,992,860,600,879,340,862,704,992,168,
410,699,389,678,997,582,882,350,944,656,108,811,804,561,621,533,876,107,767,
223,761,226,153,257,317,253,472,009,641,099,492,824,825,803,194,082,893,788,
178,324,223,475,926,204,192,648,454,306,114,784,242,738,885,721,435,729,384,
460,993,275,042,685,372,586,934,340,478,241,496,458,507,568,692,732,841,572,
059,954,763,746,894,671,419,713,922,591,864,679,801,105,134,447,945,309,889,
538,038,752,003,569,983,570,458,630,599,607,719,975,864,899,661,336,721,159,
193,833,132,766,733,406,143,852,414,187,334,023,375,050,525,852,386,667,427,
923,629,457,802,328,308,431,012,408,753,437,528,368,114,606,488,151,223,130,
789,729,656,016,617,592,518,682,566,656,995,805,949,750,908,332,236,174,729,
290,529,367,251,323,720,703,902,615,051,176,210,555,416,240,177,758,650,978,
545,160,789,759,778,926,137,585,363,485,574,206,974,167,668,249,911,513,858,
014,778,780,441,996,761,459,791,518,972,242,480,046,365,923,817,159,566,691,
688,032,666,809,043,430,496,131,598,695,591,256,928,265,014,553,821,566,377,
579,111,484,200,311,102,451,357,510,333,434,075,210,527,910,365,987,970,776,
297,581,012,393,251,237,920,318,111,253,512,576,733,358,490,625,679,606,453,
846,959,070,332,155,481,484,220,624,609,640,427,169,878,146,483,293,660,624,
559,651,541,642,348,659,274,760,504,540,433,648,713,772,231,848,832,553,874,
475,928,781,561,492,236,987,062,081,608,042,673,505,102,153,592,970,125,783,
081,908,206,714,483,400,802,298,865,692,816,325,138,459,524,655,674,522,268,
921,030,595,673,059,241,674,865,484,242,663,239,186,245,264,594,752,965,554,
658,124,243,443,911,201,217,937,032,426,738,316,604,228,868,907,476,408,209,
111,811,646,892,593,283,556,300,777,661,422,267,143,472,689,070,176,887,896,
689,867,792,773,539,192,702,651,358,603,933,085,571,491,701,583,258,576,298,
884,848,991,065,230,627,747,406,895,351,496,205,595,546,796,800,245,165,635,
766,130,033,316,798,726,795,222,716,172,373,042,728,712,105,240,860,580,920,
687,815,212,679,051,234,102,373,323,466,797,259,388,389,662,694,715,177,915,
747,879,651,175,744,737,822,140,616,109,723,933,974,384,236,088,828,230,687,
770,198,669,677,928,511,052,400,898,707,821,215,503,557,956,470,244,255,400,
581,314,149,913,714,682,229,844,553,805,360,565,478,492,053,310,518,843,472,
126,159,185,939,815,664,341,606,200,519,225,401,244,798,109,722,706,982,107,
868,431,638,019,669,580,519,140,167,378,151,469,026,686,435,787,259,162,952,
408,678,681,167,025,027,854,082,473,484,503,889,190,255,841,375,599,398,150,
457,274,966,536,356,061,335,207,852,699,153,675,200,569,212,579,094,865,521,
200,642,322,917,415,525,341,002,102,217,759,645,522,659,577,640,230,693,896,
182,084,373,867,643,705,049,520,299,051,752,939,163,251,554,340,972,944,177,
075,623,566,242,723,703,410,858,329,863,889,164,584,187,194,126,747,362,206,
676,974,643,417,703,990,958,104,265,374,694,471,279,503,723,864,939,483,481,
598,866,652,948,287,262,401,823,376,422,076,428,260,848,845,632,374,691,047,
241,238,723,118,771,257,780,415,304,034,224,136,139,428,052,945,113,552,129,
246,326,277,395,595,336,167,555,333,269,172,146,351,623,304,683,933,382,826,
742,574,276,465,671,325,776,801,225,249,359,872,981,888,737,919,228,998,668,
874,347,572,067,746,053,352,873,652,410,270,032,165,185,054,917,736,268,789,
422,377,773,751,335,254,756,828,352,905,318,244,462,883,690,424,974,190,839,
335,978,132,992,974,131,417,293,547,298,800,698,319,738,431,410,329,972,987,
391,209,934,562,072,225,931,050,057,297,508,529,209,063,963,690,698,052,245,
246,483,094,963,116,192,288,703,018,577,758,015,523,541,350,039,687,179,752,
256,553,109,222,875,463,545,548,971,400,688,568,545,547,116,433,181,797,219,
573,678,236,437,645,487,290,307,568,998,286,003,094,838,880,658,255,270,225,
503,459,903,889,996,932,452,914,338,933,771,383,487,321,681,162,991,088,415,
401,312,921,044,296,552,307,174,809,073,022,277,419,314,228,946,832,088,411,
607,570,474,913,629,287,466,981,261,020,152,369,988,682,389,849,870,012,300,
773,875,364,222,943,168,948,100,246,002,905,133,044,545,156,160,522,431,000,
258,819,296,461,465,494,585,894,174,555,258,173,664,997,878,766,030,513,773,
322,711,227,157,795,574,415,687,939,974,419,813,532,118,889,302,920,819,209,
085,589,238,998,967,965,333,076,737,699,353,457,256,562,032,853,850,727,093,
663,038,541,645,746,075,216,862,195,013,265,999,846,231,246,483,690,276,744,
076,318,992,655,742,350,583,606,252,952,951,441,129,508,404,584,630,162,928,
757,965,035,550,156,028,631,220,081,984,576,504,617,401,421,554,970,398,889,
752,942,682,117,213,394,266,053,515,727,914,621,272,800,448,245,353,694,379,
936,518,280,170,785,014,242,100,653,469,696,424,526,139,231,194,284,203,999,
427,514,162,867,884,135,244,598,737,648,184,954,154,050,926,283,197,947,672,
330,548,904,872,639,977,331,762,382,322,593,087,354,915,063,858,877,412,502,
322,479,290,512,329,737,165,972,299,165,607,452,096,421,182,147,896,563,891,
998,338,811,029,599,871,680,132,181,282,233,375,746,149,749,327,010,250,234,
529,685,705,346,102,460,929,173,844,482,223,350,847,787,392,603,253,540,947,
964,451,112,468,811,087,702,984,734,777,157,322,005,585,763,796,309,452,742,
053,878,108,373,716,977,552,201,404,078,859,443,535,477,367,639,439,847,954,
143,084,607,716,481,625,613,626,915,162,103,675,669,687,573,985,295,226,498,
491,724,635,658,567,765,586,209,760,863,115,751,032,672,566,981,606,358,760,
435,196,812,532,654,748,609,936,435,613,084,334,150,465,443,340,819,659,475,
279,891,729,629,674,463,212,030,907,113,923,941,977,716,905,304,827,498,767,
402,397,832,959,851,141,244,195,328,922,533,447,057,164,606,815,809,574,886,
245,974,687,071,996,256,657,494,328,542,300,102,847,066,410,573,948,400,350,
906,971,004,163,288,141,230,443,895,218,127,036,547,734,253,159,714,960,379,
452,985,868,637,675,519,265,364,069,807,431,393,596,140,534,214,536,146,891,
951,251,043,510,452,529,077,486,438,010,053,503,136,626,485,145,625,215,258,
801,510,006,286,816,954,041,402,538,925,953,010,152,282,816,725,588,856,185,
809,127,374,707,916,578,532,891,384,624,599,117,700,474,531,158,139,134,070,
179,181,056,538,061,240,586,619,835,777,240,886,935,217,842,518,621,383,337,
298,545,097,489,036,954,023,827,710,562,147,844,479,229,259,533,805,866,494,
881,699,388,991,264,767,550,066,685,389,093,565,243,437,396,093,129,234,383,
783,855,466,294,847,103,799,011,641,407,710,374,357,018,714,237,952,772,119,
277,505,215,206,010,079,584,628,407,867,176,635,579,342,040,244,730,245,683,
742,594,250,600,348,585,853,870,584,223,445,937,314,811,008,205,591,609,050,
952,697,396,227,595,364,011,189,923,567,591,790,398,089,508,261,234,340,496,
249,160,906,461,582,805,701,095,849,035,432,864,959,266,603,443,610,459,027,
370,686,961,679,336,409,266,626,594,452,072,921,123,608,117,231,848,116,790,
750,362,563,394,132,467,943,515,293,403,118,653,984,269,173,302,896,071,194,
562,751,013,016,081,512,494,722,873,302,604,924,257,930,106,149,419,961,380,
405,758,942,442,313,756,656,943,294,882,111,354,967,083,049,067,634,999,087,
155,472,989,498,950,166,967,842,841,212,364,915,586,346,803,163,832,196,585,
918,475,770,216,020,849,864,885,977,973,918,475,635,090,144,577,771,972,754,
855,172,629,218,244,745,400,166,083,593,826,456,887,111,882,028,897,532,946,
263,373,473,624,632,246,692,043,210,627,603,107,188,989,566,635,007,180,702,
522,029,268,639,522,821,945,638,017,319,236,108,420,772,410,833,720,897,814,
478,996,293,658,881,985,335,592,978,015,666,475,712,522,209,022,898,699,034,
046,914,088,474,360,625,816,237,025,328,824,671,496,762,472,492,026,173,988,
578,379,573,340,974,300,691,650,147,396,198,988,715,916,781,183,923,830,195,
506,389,557,651,522,410,725,378,968,203,109,591,644,111,575,519,054,215,028,
367,084,003,128,401,293,315,326,157,614,994,392,516,567,585,206,277,066,741,
103,956,793,437,435,386,438,212,301,441,861,045,827,313,301,019,418,102,382,
974,034,688,983,941,814,647,865,774,204,999,035,815,114,821,578,957,738,350,
363,640,504,197,690,625,566,701,501,463,697,495,993,954,879,891,315,178,804,
584,371,901,278,167,620,500,439,517,226,916,967,675,278,459,547,114,707,147,
541,971,726,599,045,765,489,625,642,307,285,656,262,009,531,204,815,519,756,
059,179,955,691,093,280,465,612,522,662,430,762,292,013,191,651,928,088,436,
836,203,461,862,004,113,889,079,752,401,243,051,049,562,071,986,506,318,544,
006,822,909,532,827,651,094,395,899,340,776,945,541,655,479,526,496,954,132,
699,979,231,690,426,670,390,204,254,001,222,686,537,740,224,488,703,302,181,
141,771,584,586,667,973,200,179,229,778,644,729,900,814,368,540,093,235,972,
075,548,997,509,417,723,366,631,792,578,829,205,813,221,478,366,825,883,632,
889,005,481,710,950,291,373,570,138,253,098,012,051,630,547,215,317,965,024,
694,729,397,910,321,340,185,095,038,752,494,867,589,611,397,957,128,116,751,
822,643,561,704,293,820,204,498,177,702,728,047,551,374,102,960,924,734,058,
858,922,741,403,292,500,533,247,123,612,807,542,090,350,144,314,714,232,990,
146,604,442,825,901,107,644,486,764,847,690,886,370,631,653,034,824,509,693,
308,111,740,912,993,763,647,027,451,057,244,730,298,776,077,290,142,398,668,
705,964,659,986,119,466,798,053,306,408,760,905,284,395,940,542,111,676,957,
532,280,292,776,334,086,270,814,655,837,782,535,374,619,960,462,481,895,141,
206,438,005,904,792,167,335,693,765,120,743,834,207,194,245,555,514,852,902,
201,179,785,589,174,736,273,380,996,952,071,096,494,570,986,197,391,446,440,
105,642,554,932,097,012,041,028,101,041,372,880,775,884,554,833,484,094,772,
044,154,453,068,374,010,588,297,092,438,572,626,906,084,487,948,929,941,753,
263,884,865,843,527,256,425,280,760,278,365,700,479,765,156,515,844,578,346,
082,720,446,625,720,633,898,976,742,776,774,203,452,847,383,029,852,851,409,
987,649,280,286,258,716,598,981,115,220,518,073,785,797,887,289,326,809,204,
841,295,174,323,514,155,781,872,588,503,197,882,877,898,030,998,215,984,705,
932,287,745,285,915,151,789,591,239,093,712,679,254,425,383,513,726,619,538,
351,107,683,577,818,495,095,306,757,372,261,983,649,250,841,764,852,445,118,
006,697,061,907,848,908,073,368,732,954,726,387,625,740,406,789,677,076,424,
534,615,050,617,168,780,178,173,413,165,250,581,452,830,735,520,744,309,740,
947,634,724,811,025,889,993,425,328,732,946,257,250,667,720,617,565,278,374,
552,979,789,508,943,451,198,757,050,188,801,408,499,558,451,518,241,588,606,
010,350,076,975,578,294,045,029,183,193,636,039,823,974,038,206,412,806,156,
437,564,180,940,891,083,969,298,745,677,114,995,397,634,147,176,344,105,421,
645,712,127,724,303,588,507,163,316,703,520,868,787,122,963,530,183,661,170,
115,243,472,368,774,343,195,069,243,751,924,753,671,474,039,162,621,276,570,
474,055,037,436,487,686,241,436,670,242,590,118,138,568,535,280,823,951,427,
244,806,923,478,124,082,347,542,377,629,277,369,192,827,467,056,452,072,579,
476,532,848,625,117,033,108,533,324,371,226,153,895,233,015,425,708,187,486,
911,222,955,129,273,974,357,671,703,773,297,932,880,927,873,007,393,713,380,
548,347,316,716,065,424,850,639,370,035,523,451,894,765,809,086,982,675,734,
716,094,015,272,485,821,608,709,809,914,948,999,775,659,883,049,252,483,825,
645,126,461,248,153,589,402,639,802,058,041,842,365,102,373,854,828,166,425,
873,780,833,803,587,421,248,624,352,409,076,155,184,319,300,907,009,712,261,
074,770,568,594,078,462,138,027,230,199,078,539,189,251,930,339,803,223,379,
110,134,962,818,147,880,278,179,062,869,256,659,812,995,764,686,831,181,890,
048,581,475,779,931,229,047,458,698,262,571,238,122,613,071,542,229,302,376,
134,751,563,106,688,171,487,702,146,883,090,860,099,470,458,151,206,323,533,
303,133,969,693,171,380,666,977,676,402,623,949,998,369,073,113,366,519,541,
677,264,324,262,734,721,987,224,111,612,454,131,273,301,384,837,224,623,893,
144,873,549,321,195,747,330,756,665,923,787,453,515,408,687,397,860,263,879,
329,224,991,241,151,975,904,467,624,389,423,176,212,240,936,969,856,434,764,
802,364,577,252,203,522,035,436,871,256,535,512,841,616,095,072,288,018,871,
526,123,169,961,436,344,513,235,491,360,439,539,909,758,427,617,925,847,566,
030,152,117,500,789,986,599,304,033,142,458,192,476,502,760,578,471,302,929,
902,532,502,276,262,877,176,114,606,348,046,278,859,922,833,013,569,922,610,
993,179,808,236,533,228,695,832,488,496,844,230,205,709,440,206,594,791,916,
108,022,045,893,783,115,799,725,766,788,389,926,910,071,270,529,762,390,879,
284,905,963,128,952,347,954,083,376,393,116,769,274,351,942,848,021,250,905,
890,672,773,285,888,080,915,878,354,214,898,076,627,811,413,698,687,883,863,
797,517,813,784,309,800,440,894,562,770,477,771,663,465,494,766,158,766,897,
004,252,676,437,294,549,092,011,466,032,983,821,618,335,709,016,665,229,037,
654,070,378,542,794,601,053,946,322,694,097,518,661,366,166,580,422,122,493,
092,902,656,426,884,497,913,734,451,800,901,101,528,788,761,543,622,922,625,
334,501,436,962,324,766,422,425,165,255,015,010,485,462,133,738,449,172,298,
208,096,362,422,716,499,898,987,244,064,885,127,830,788,437,532,968,201,534,
870,989,078,905,356,067,485,279,769,717,172,860,673,145,109,357,975,517,191,
480,021,206,827,072,737,850,849,679,224,051,417,778,342,465,126,147,723,979,
932,962,471,539,565,460,075,592,585,225,878,734,962,135,473,215,273,394,967,
437,943,400,556,297,327,134,559,338,776,569,064,046,702,230,890,198,892,662,
357,969,344,576,457,640,691,224,644,117,332,031,201,629,474,549,499,289,805,
489,707,438,512,364,817,954,908,195,399,236,544,935,085,385,734,105,170,026,
392,198,723,383,562,516,004,080,841,717,494,280,388,669,233,653,408,574,641,
305,734,729,053,292,609,561,315,325,235,610,601,307,259,049,289,206,854,136,
699,558,756,172,505,802,630,238,670,157,933,736,827,949,607,579,998,220,052,
650,351,721,249,120,619,667,925,518,555,575,272,770,614,624,937,239,754,316,
180,350,700,172,338,788,378,056,517,461,416,274,721,297,434,379,473,494,943,
017,144,920,636,706,580,526,414,733,465,986,476,048,356,441,058,219,646,059,
697,321,708,357,572,292,559,240,736,336,971,422,776,430,125,634,491,385,047,
701,158,583,857,620,334,633,908,315,100,508,632,123,700,635,608,822,714,109,
641,457,851,675,478,369,328,044,214,555,796,873,048,425,057,691,146,745,851,
309,552,476,679,448,912,216,505,377,302,108,040,761,769,346,467,517,331,553,
302,990,438,591,829,371,334,777,381,871,663,988,150,624,996,656,126,257,877,
336,244,582,859,659,723,731,849,201,996,521,445,888,984,861,889,012,300,775,
427,271,151,927,705,697,324,208,391,105,690,596,545,416,042,381,895,123,276,
986,907,750,304,465,184,014,421,879,424,875,744,113,908,557,648,205,378,800,
309,797,586,451,765,095,836,165,388,930,612,863,500,704,799,103,017,822,048,
523,302,690,352,856,006,158,767,967,285,911,384,438,185,250,348,586,896,698,
542,129,007,476,494,457,583,472,242,018,045,045,329,392,495,186,809,737,873,
281,390,094,302,133,265,231,537,162,598,433,314,187,337,595,187,375,349,979,
658,620,124,973,357,088,726,299,418,164,149,442,073,198,207,317,364,242,896,
115,829,727,766,145,574,510,432,758,614,940,637,558,207,155,509,237,092,094,
790,630,217,979,226,650,129,005,297,836,566,486,848,250,019,835,352,420,446,
355,164,710,452,150,152,185,600,771,001,391,025,660,933,828,670,248,334,841,
111,346,928,909,244,063,168,015,067,637,564,045,438,363,952,489,759,681,055,
222,170,331,500,658,391,933,294,078,859,638,046,817,926,388,626,905,778,358,
086,762,491,701,251,018,588,846,716,849,194,090,998,655,588,230,108,243,170,
861,032,270,404,547,928,069,069,321,896,852,452,755,917,640,351,141,325,008,
766,059,542,628,082,911,961,725,020,716,547,826,059,403,911,732,021,694,643,
231,832,781,759,776,249,156,925,756,935,784,299,086,096,113,960,170,023,245,
999,400,166,119,547,286,785,246,938,090,242,630,404,637,710,096,422,352,493,
733,606,383,850,015,238,645,366,064,736,429,652,219,925,432,747,343,326,736,
265,012,448,220,044,998,904,112,739,196,293,713,348,525,900,796,031,649,731,
977,629,532,551,605,685,967,880,598,037,559,958,923,616,610,604,190,973,142,
060,812,334,072,386,709,446,062,752,606,386,884,667,411,614,840,516,952,341,
680,140,334,495,844,037,974,388,342,128,308,480,048,139,079,103,456,153,883,
938,362,306,382,739,893,225,588,973,694,958,101,425,073,745,763,546,925,961,
530,840,672,844,707,544,438,033,151,173,530,032,945,214,332,939,080,045,488,
428,826,821,178,206,197,215,263,605,735,099,527,307,118,014,469,873,305,749,
543,926,120,379,096,008,499,380,024,669,791,437,253,289,502,949,373,483,303,
297,551,557,884,547,616,537,942,024,451,750,572,159,318,937,743,494,256,781,
540,419,337,169,849,559,102,533,741,780,129,261,882,564,273,966,373,277,321,
337,496,893,430,040,613,034,261,585,002,422,725,416,509,982,899,623,862,945,
010,361,367,096,546,611,224,151,599,969,194,541,166,865,085,362,327,308,874,
059,269,951,347,375,695,701,216,140,694,376,487,542,947,471,931,921,833,162,
902,194,799,055,138,151,777,058,521,214,085,121,442,112,942,676,690,732,361,
145,596,923,415,412,236,611,980,268,525,024,547,059,512,268,323,083,369,469,
247,756,408,008,692,733,801,666,231,175,562,340,036,025,251,490,765,844,462,
576,202,531,712,172,654,172,218,062,865,527,381,396,582,703,130,913,600,069,
772,070,229,682,840,257,862,105,915,380,889,836,950,984,649,228,787,119,378,
556,552,765,032,495,946,491,404,185,831,504,308,413,309,229,252,473,680,012,
804,062,791,659,273,475,215,450,859,875,001,015,384,022,752,018,417,350,723,
804,521,565,354,349,870,243,545,228,254,598,950,882,869,055,464,480,092,594,
013,620,059,596,356,093,312,780,487,007,471,694,556,057,869,837,904,450,266,
418,596,236,117,363,805,294,600,883,370,950,371,660,369,648,340,242,566,240,
047,494,272,466,494,339,961,359,381,862,707,560,482,212,577,870,772,432,099,
632,308,831,033,036,653,568,292,806,005,196,073,666,840,860,808,225,416,274,
019,936,821,334,294,562,876,850,089,847,299,065,294,836,874,504,996,870,051,
240,484,689,863,925,877,107,524,975,972,656,432,195,439,840,948,525,017,604,
160,928,451,102,828,970,342,661,380,991,070,553,569,976,843,985,799,127,195,
937,429,848,533,389,211,479,227,704,966,665,562,468,864,305,439,271,441,864,
042,999,041,568,886,259,916,434,362,594,203,566,846,134,523,993,745,614,666,
531,244,247,573,547,593,627,229,608,246,487,707,800,082,770,081,904,865,820,
411,829,778,234,201,119,763,806,139,273,018,910,667,089,802,894,160,416,850,
368,362,787,272,237,514,820,964,768,657,060,156,818,080,482,080,026,515,856,
232,324,962,913,619,943,165,087,212,927,975,148,560,559,252,357,045,203,267,
556,803,843,904,373,989,204,279,773,852,898,870,990,309,601,595,424,997,070,
611,735,443,885,459,961,341,366,546,202,802,549,470,358,292,634,905,377,644,
091,438,770,016,188,473,259,665,463,725,207,438,888,092,262,702,416,254,329,
508,471,433,949,546,584,877,666,302,776,702,683,611,088,870,366,491,143,708,
399,365,277,609,987,031,312,933,695,610,718,968,266,129,789,021,528,918,507,
804,918,451,271,647,926,372,964,854,037,263,832,166,306,582,687,868,107,870,
429,084,426,306,544,980,462,087,484,973,728,649,120,105,491,556,532,113,922,
739,933,620,437,254,051,236,758,703,749,235,024,830,257,186,454,219,486,829,
125,817,558,711,807,098,450,746,029,669,302,701,279,784,239,928,714,182,055,
246,495,975,549,000,038,699,866,360,933,709,063,232,013,204,662,495,181,170,
366,502,248,848,228,438,373,648,524,718,148,916,879,035,349,137,022,908,960,
230,810,215,546,388,452,217,087,421,236,059,554,779,422,715,926,345,514,476,
551,055,327,367,034,561,944,374,318,054,285,735,663,552,002,763,108,084,610,
348,507,469,765,122,615,517,716,401,354,268,714,435,647,072,992,048,524,522,
971,910,799,886,296,706,881,432,640,641,045,073,115,990,593,758,764,679,081,
386,474,930,696,647,905,324,289,828,802,305,021,695,172,830,320,811,621,458,
783,839,750,509,537,744,235,231,754,888,824,704,815,782,008,379,350,856,801,
467,477,247,278,936,360,270,279,312,240,815,378,037,190,839,151,921,290,327,
376,040,442,764,457,590,599,937,723,002,960,073,617,374,618,659,924,800,800,
261,043,094,717,237,781,501,927,915,484,920,941,505,715,214,911,258,789,301,
908,961,904,008,011,269,751,602,220,218,471,709,210,206,962,918,955,330,932,
203,030,871,174,023,745,242,608,727,042,668,800,455,287,386,175,958,273,209,
866,129,851,336,479,639,135,696,946,073,220,071,456,765,449,216,627,024,711,
781,614,266,985,583,474,151,480,726,299,344,850,324,262,266,862,208,476,592,
801,859,888,378,166,367,873,430,570,384,381,146,945,332,321,928,488,647,085,
068,788,069,818,679,804,152,419,360,518,528,568,588,296,364,651,154,866,904,
511,336,953,836,001,907,517,242,930,571,798,347,044,633,373,890,064,836,637,
758,003,036,289,263,090,337,058,672,759,657,037,661,499,501,125,380,991,636,
022,932,637,758,994,826,247,741,033,403,850,939,443,089,192,573,490,807,297,
431,873,197,984,099,576,699,894,539,026,299,803,386,031,988,581,730,385,469,
948,374,451,922,298,635,933,839,296,882,912,673,269,572,547,527,861,765,502,
351,048,754,997,639,725,454,520,237,303,843,700,453,850,508,964,263,080,777,
729,904,278,133,997,240,211,540,737,432,350,714,024,437,481,627,189,522,536,
370,243,085,993,637,988,620,076,971,314,837,552,994,263,625,723,836,258,757,
050,934,659,764,511,642,225,557,133,321,739,297,830,216,394,920,287,098,383,
209,911,745,300,837,301,031,217,511,275,259,586,486,796,731,415,198,913,245,
717,761,579,996,131,213,158,596,694,621,405,317,804,906,494,515,405,538,104,
497,710,283,380,065,918,495,071,719,049,591,166,957,422,574,455,647,403,128,
801,259,764,064,193,901,481,783,266,252,852,333,022,103,101,923,963,262,836,
163,374,852,172,743,347,221,834,554,436,180,928,388,203,997,688,389,424,969,
197,269,075,315,925,363,624,528,813,400,886,500,888,519,798,865,375,107,177,
184,355,297,595,903,362,444,638,212,497,674,529,927,588,789,458,434,791,710,
067,280,275,104,437,903,510,567,831,952,347,617,133,148,867,774,923,254,570,
704,575,789,123,638,451,366,046,716,748,268,727,621,887,219,281,068,370,706,
236,096,199,694,690,943,145,724,486,350,960,923,277,867,139,032,809,035,819,
319,212,338,465,063,570,504,159,310,398,511,583,465,393,314,819,241,654,349,
243,679,162,729,473,662,296,549,099,686,904,474,162,651,698,755,962,848,821,
690,072,417,489,046,785,523,035,337,145,930,588,909,532,787,196,616,754,303,
932,629,751,584,559,512,461,830,307,350,981,029,986,558,087,771,285,016,418,
462,809,246,885,821,478,296,112,577,063,646,639,842,155,279,448,734,485,771,
586,102,301,711,634,836,032,604,338,680,821,234,872,565,653,550,192,714,608,
178,377,701,117,844,769,265,799,774,502,543,311,303,528,924,587,770,751,249,
712,210,468,062,573,108,329,831,433,517,008,871,083,239,792,822,031,534,283,
368,787,870,364,641,257,220,045,120,109,161,479,227,981,662,870,733,957,047,
965,756,643,788,996,950,866,834,501,418,442,760,212,666,706,178,943,052,269,
959,547,673,784,318,745,702,765,652,024,656,651,832,684,276,097,024,845,903,
410,468,113,382,243,991,315,117,357,396,639,850,253,337,740,437,032,850,208,
204,335,420,151,205,130,342,127,614,295,011,710,381,744,883,590,070,367,479,
309,197,238,976,634,538,009,487,450,292,102,336,876,995,730,904,992,849,361,
346,916,598,894,885,780,621,877,068,001,886,859,606,977,865,766,128,941,658,
254,832,837,912,215,747,847,961,363,193,624,890,456,495,203,313,249,857,998,
189,513,478,134,884,356,049,797,603,477,884,029,110,480,817,175,973,695,269,
761,957,855,660,065,600,603,274,607,779,733,144,278,165,922,273,145,757,734,
269,748,483,188,632,755,781,674,339,203,244,042,280,717,845,371,392,700,203,
265,233,037,533,164,726,960,186,504,900,318,711,722,913,083,334,662,930,381,
323,897,020,947,256,544,049,862,838,109,152,195,236,749,089,106,368,831,580,
603,139,097,184,597,268,707,366,090,201,092,137,845,589,175,744,822,098,981,
222,258,755,296,554,807,618,243,989,325,635,246,880,232,731,738,673,722,361,
551,459,321,831,325,616,217,170,803,849,401,937,853,719,845,384,149,514,705,
356,851,815,101,807,478,743,706,066,098,544,508,301,472,963,028,055,383,628,
642,230,848,224,219,078,407,690,934,714,835,092,569,447,658,415,581,506,137,
557,022,973,727,463,555,636,955,961,027,131,490,784,878,798,878,423,141,415,
958,043,378,532,089,902,139,444,913,898,052,501,974,421,831,531,387,347,303,
629,875,716,715,800,729,119,034,780,549,935,173,238,693,985,471,889,787,766,
448,603,893,435,402,834,900,630,661,510,699,187,935,869,594,918,051,528,362,
401,242,322,431,600,240,373,479,942,470,984,218,302,534,712,316,872,801,025,
035,384,706,353,479,473,897,607,317,638,098,377,079,788,766,612,605,441,974,
901,343,937,201,275,093,305,983,590,468,177,766,678,003,672,542,816,185,821,
760,246,348,436,387,662,513,717,243,568,785,749,069,685,542,200,674,762,980,
455,744,488,311,487,924,398,855,552,493,665,923,734,305,544,513,711,228,260,
892,565,971,243,898,850,565,503,975,505,656,343,877,325,780,457,059,483,750,
954,290,450,203,243,489,139,340,969,545,137,403,862,042,650,426,267,962,083,
276,170,764,326,342,267,445,447,940,360,986,496,210,499,466,841,753,510,084,
795,036,991,238,451,550,618,866,959,857,128,899,148,591,809,961,382,694,600,
408,109,215,163,253,234,316,500,921,145,256,970,270,349,261,439,248,579,105,
618,077,714,821,864,518,962,180,177,091,998,706,060,497,708,498,409,255,240,
304,430,728,361,099,134,855,667,504,060,977,661,413,944,465,533,993,942,260,
078,678,625,984,054,659,221,558,664,681,345,398,745,107,007,489,717,456,911,
128,511,903,797,278,868,524,402,960,991,016,793,724,664,994,471,157,509,339,
990,746,922,162,537,082,718,638,588,327,476,985,561,975,475,270,202,069,742,
076,213,566,389,852,987,314,355,444,050,318,610,530,720,737,340,106,987,602,
733,195,896,523,709,533,424,759,976,280,731,832,101,782,460,143,634,295,138,
569,945,518,735,178,697,351,906,383,524,922,229,863,981,823,037,872,846,819,
388,201,106,995,493,674,489,680,985,171,283,516,359,314,104,325,650,151,521,
018,060,138,806,755,268,814,864,404,890,331,046,891,218,134,872,903,272,218,
597,625,369,070,981,313,287,295,211,900,399,790,385,615,741,471,108,911,713,
107,510,101,923,141,038,989,393,428,730,309,370,723,887,582,521,625,405,057,
653,872,211,287,007,742,945,710,479,113,504,761,821,873,164,825,563,381,677,
888,234,366,773,054,414,459,878,303,020,325,539,918,066,373,519,356,614,257,
638,422,304,240,799,876,266,231,466,401,120,906,666,451,131,596,229,618,520,
397,666,784,428,128,587,481,792,902,876,091,236,148,844,347,502,793,026,983,
136,655,503,070,500,691,771,662,818,221,494,892,540,128,886,628,453,563,142,
279,180,007,789,829,958,630,873,236,745,521,614,024,493,908,370,493,240,772,
584,183,811,866,340,462,634,611,804,727,261,087,217,541,720,047,721,849,668,
725,084,507,001,784,453,328,903,001,121,104,117,715,676,569,486,898,220,370,
965,975,511,524,172,863,586,597,098,374,723,856,585,794,254,244,164,707,549,
360,066,968,771,067,953,302,830,473,393,592,322,481,023,916,172,598,677,012,
667,104,118,640,930,414,924,831,957,748,209,127,897,814,225,935,986,640,037,
090,642,957,872,375,651,598,972,742,355,566,163,932,881,012,188,072,855,352,
836,110,565,230,978,494,897,802,532,275,902,470,077,180,886,486,312,983,835,
328,557,629,030,016,864,439,160,649,257,217,494,973,427,958,741,977,746,833,
638,887,993,934,892,266,909,012,464,063,333,098,153,037,203,179,021,468,241,
379,071,030,122,657,774,475,435,128,411,905,514,111,381,526,359,814,700,659,
801,065,125,582,294,510,673,934,111,299,565,608,053,763,894,212,842,973,590,
860,897,958,107,431,888,706,815,777,801,076,744,509,185,529,654,116,240,562,
756,942,128,536,137,786,391,823,754,668,009,426,598,431,057,325,678,161,353,
015,165,718,341,920,755,275,012,405,200,611,427,691,300,253,944,068,066,911,
810,270,389,769,910,732,147,989,719,879,998,047,066,568,283,517,368,067,371,
867,221,388,840,280,300,685,294,254,945,202,548,197,924,450,038,859,082,419,
329,079,705,384,965,715,076,216,937,892,266,778,426,819,614,397,896,218,432,
244,579,038,961,125,408,088,069,418,902,200,578,980,487,773,479,648,032,779,
161,353,098,924,692,492,155,105,324,551,222,525,250,058,153,954,355,862,337,
819,590,432,311,996,700,814,336,982,164,729,051,801,495,705,534,103,922,927,
340,555,946,665,914,854,968,854,433,686,541,183,813,242,184,445,729,525,097,
220,572,105,654,052,673,179,384,014,301,066,583,538,377,783,332,721,842,473,
416,655,493,514,079,951,774,165,385,070,855,139,753,722,581,202,007,549,548,
775,982,410,525,057,327,598,656,695,010,083,552,373,750,180,952,425,501,266,
491,534,549,162,682,146,229,210,716,401,933,058,188,349,676,657,814,854,538,
988,006,228,607,418,270,114,063,404,606,960,098,393,953,733,248,956,163,234,
794,186,244,798,914,094,586,562,169,596,712,549,447,698,539,826,146,739,028,
963,171,129,052,829,855,362,141,124,613,467,346,601,956,943,318,427,038,421,
099,574,131,761,870,987,137,067,823,459,603,601,408,358,687,351,213,879,224,
572,913,917,613,073,658,612,478,591,432,451,395,954,360,117,547,988,073,047,
356,181,436,817,245,650,014,851,706,485,301,596,079,039,840,926,942,935,483,
506,704,946,420,937,000,612,156,506,375,684,995,130,091,997,346,394,219,463,
545,142,000,562,548,016,501,920,747,618,154,456,396,922,191,712,252,144,381,
433,913,180,508,465,390,373,354,441,572,617,619,258,574,733,830,558,732,104,
056,783,519,680,455,332,091,454,559,520,485,402,140,992,255,669,626,419,379,
355,435,859,529,856,413,499,081,065,066,414,389,357,635,364,568,674,367,407,
179,723,986,587,763,193,738,332,284,184,499,192,404,532,283,682,242,911,129,
206,084,410,130,362,578,701,972,532,031,835,313,594,099,780,538,886,601,642,
609,039,756,417,984,776,744,530,566,102,672,107,609,840,938,812,692,437,312,
376,645,784,398,819,479,408,642,479,868,835,631,946,295,289,670,561,894,964,
506,184,911,977,363,249,606,570,115,656,064,736,183,214,590,522,292,952,621,
791,656,344,288,313,374,319,072,265,453,184,217,347,072,425,072,985,657,526,
689,065,214,395,234,212,458,516,166,840,692,275,923,881,056,986,276,380,594,
035,039,321,933,102,303,225,662,386,483,182,967,810,365,078,461,375,381,724,
000,434,128,378,720,599,086,739,033,232,603,501,636,784,514,214,403,587,064,
667,865,700,451,611,571,432,290,262,865,347,337,546,790,689,450,880,885,984,
345,759,593,639,061,059,101,596,284,618,098,115,624,844,584,569,837,278,710,
132,196,197,357,457,081,999,793,908,193,035,572,905,197,709,546,137,277,336,
769,950,734,961,546,205,094,697,773,736,521,601,119,100,714,604,052,408,703,
526,692,884,095,715,513,651,374,764,580,341,776,470,229,863,377,649,450,839,
556,149,972,116,229,980,613,110,554,353,857,790,145,365,524,185,087,968,887,
189,579,736,429,310,662,627,255,043,089,714,994,693,401,830,791,580,243,363,
282,112,714,603,337,359,697,801,912,689,407,735,093,118,634,532,912,005,739,
865,005,080,066,286,974,202,414,080,322,767,006,087,449,410,986,824,234,695,
366,236,862,556,405,581,367,018,668,065,380,919,499,848,317,364,321,507,000,
746,584,349,917,314,578,567,480,333,441,099,173,017,089,818,349,495,736,532,
710,376,209,981,870,018,326,299,870,863,584,020,619,915,438,718,336,357,349,
376,938,245,270,306,533,060,727,400,809,575,253,437,797,541,112,677,287,709,
260,382,281,499,088,136,036,954,949,312,149,250,209,419,878,418,399,150,678,
676,888,072,049,481,950,367,441,609,951,125,165,272,864,773,546,985,490,013,
731,809,100,712,310,835,324,664,306,061,502,735,737,781,872,599,131,022,479,
067,428,140,576,672,727,516,784,187,516,120,119,716,080,109,408,327,743,960,
947,454,824,110,857,935,785,429,071,942,878,001,524,915,669,984,423,757,070,
515,876,089,206,897,499,078,204,694,339,020,422,801,233,516,935,069,200,080,
282,749,782,054,545,798,295,643,433,813,707,653,370,930,447,536,701,553,893,
072,222,381,301,955,539,917,187,390,916,264,355,385,240,275,118,467,076,312,
231,347,815,286,277,253,167,773,894,752,208,256,763,809,135,836,764,947,597,
805,467,494,382,356,805,270,495,751,712,913,754,144,995,207,573,632,668,782,
532,286,116,319,517,642,667,609,520,992,117,619,500,185,602,659,107,692,067,
852,366,151,186,860,080,695,687,720,555,902,315,411,953,282,026,014,934,366,
384,608,805,784,244,655,924,189,955,053,988,133,700,700,585,761,740,860,274,
328,705,040,739,480,389,100,232,609,661,013,242,144,497,958,424,412,286,612,
582,663,551,864,346,664,680,697,895,312,916,315,174,861,850,098,380,868,441,
390,411,555,100,136,448,715,731,546,002,652,805,821,030,068,370,894,942,118,
302,069,153,479,287,433,199,117,404,847,471,338,416,387,822,766,213,691,629,
757,295,090,039,816,569,490,578,889,593,340,011,974,651,482,537,903,912,195,
143,300,836,152,441,761,161,354,674,848,634,808,475,851,243,076,807,243,190,
961,160,944,878,912,526,933,297,604,998,103,589,292,458,888,455,783,395,702,
789,485,159,654,812,106,662,912,363,449,612,965,562,049,548,859,339,490,209,
868,748,667,205,321,945,829,946,941,510,772,551,507,905,637,293,130,115,900,
608,577,649,348,853,954,490,764,471,719,261,188,798,535,003,102,755,224,360,
336,972,381,128,918,168,077,912,526,253,165,908,655,499,510,423,729,397,999,
676,344,569,448,919,454,841,313,837,275,453,462,739,699,313,989,541,454,553,
013,564,572,355,572,880,167,402,191,952,030,388,649,352,970,752,516,425,165,
317,240,161,496,764,696,246,002,412,186,044,104,823,879,977,780,147,764,959,
017,013,765,278,020,625,307,991,839,390,349,240,606,908,513,428,272,886,480,
955,569,778,188,388,661,154,755,278,047,665,709,650,071,476,892,072,049,359,
864,349,211,584,365,356,298,411,095,702,002,441,419,389,224,443,388,907,078,
458,327,713,849,929,974,016,071,480,481,046,446,858,570,076,936,087,325,089,
429,914,129,963,633,477,704,375,055,722,191,283,145,039,028,341,853,838,428,
370,277,908,553,844,316,626,695,692,905,193,821,804,289,999,176,989,366,048,
646,256,086,149,535,399,967,755,017,117,255,230,059,772,304,406,457,837,583,
209,710,753,117,026,379,597,448,276,375,953,450,324,733,521,051,999,197,682,
081,576,326,658,677,575,876,223,627,282,149,302,704,225,761,713,006,792,688,
372,224,706,947,186,596,497,163,300,809,475,665,001,436,219,353,955,279,091,
535,841,196,621,890,569,137,821,423,841,637,590,763,841,579,943,996,194,503,
366,534,597,590,745,160,312,123,960,736,781,240,332,879,966,993,704,439,688,
227,457,246,922,255,425,854,118,081,167,260,556,275,282,717,403,610,183,636,
424,385,249,079,048,188,722,422,013,625,592,738,831,846,916,167,683,317,049,
500,306,454,134,194,992,551,228,120,479,466,715,981,592,244,931,826,874,760,
039,373,314,718,983,996,740,906,103,274,754,675,717,316,952,655,263,833,052,
133,639,892,348,932,518,723,516,079,080,962,158,857,605,895,370,428,841,396,
951,699,925,493,270,959,961,672,115,784,499,320,240,136,726,143,368,844,277,
896,736,133,144,911,764,775,670,442,619,059,089,726,672,664,995,607,983,539,
875,654,792,419,873,205,469,421,937,615,448,737,136,856,118,025,688,063,716,
278,426,858,627,500,655,514,018,845,982,040,485,034,523,448,231,989,837,568,
308,595,297,002,669,446,449,197,006,463,907,030,418,785,408,488,502,546,000,
845,014,452,976,045,045,073,405,177,776,415,655,021,013,688,007,969,147,806,
760,007,895,005,987,208,688,167,732,146,463,009,179,795,983,291,209,353,973,
317,587,754,979,289,475,026,214,615,435,096,843,357,852,190,902,311,308,573,
924,257,041,137,631,479,592,079,157,151,680,148,012,073,538,193,882,204,364,
762,725,775,505,278,110,471,669,486,554,037,742,454,058,880,471,633,727,229,
203,947,716,027,798,971,377,784,603,938,565,348,017,604,841,023,099,630,889,
257,426,397,483,823,520,117,754,084,763,402,061,860,479,681,140,171,432,591,
436,245,889,570,825,752,500,856,172,226,924,874,594,346,972,248,148,362,457,
892,455,344,428,680,719,037,649,309,547,360,438,340,503,300,210,718,114,377,
265,117,474,140,604,851,624,621,427,282,347,022,091,255,213,480,365,185,013,
862,825,374,996,391,133,178,081,457,602,409,858,049,256,081,751,637,228,730,
712,393,744,304,762,550,739,442,034,434,317,936,215,870,701,492,890,649,508,
487,619,754,792,351,821,853,686,584,847,219,990,231,176,204,385,737,148,588,
684,596,657,023,380,772,782,570,735,297,909,654,852,208,005,152,508,821,503,
073,824,312,090,843,132,763,629,511,995,537,580,250,455,148,094,883,137,561,
060,217,393,299,971,439,014,206,481,917,406,778,901,016,425,645,444,892,819,
668,974,588,106,227,509,322,096,864,698,384,282,248,905,512,006,760,368,039,
119,979,382,887,976,177,160,454,402,509,565,430,390,488,588,284,089,759,041,
627,914,558,572,485,434,794,293,992,796,666,883,466,571,474,701,775,628,385,
972,797,387,786,157,491,767,287,302,497,500,212,783,661,237,744,106,605,579,
576,617,945,157,226,392,838,252,526,174,553,910,432,572,386,188,552,237,778,
732,675,157,515,885,584,367,573,710,883,294,240,771,482,133,167,077,860,805,
736,091,183,280,114,645,813,447,455,491,074,758,238,186,490,912,990,451,041,
111,329,004,845,560,869,466,436,230,980,771,018,695,015,533,796,817,276,033,
250,445,657,162,394,185,950,291,622,837,177,118,809,656,915,506,765,815,837,
472,540,395,343,789,619,183,331,320,186,518,774,445,273,119,468,681,179,353,
500,324,040,205,515,062,447,172,973,511,651,445,612,305,109,118,970,012,029,
457,456,617,175,206,505,946,536,032,799,475,222,399,363,761,951,870,230,903,
100,158,394,255,629,430,449,392,856,835,392,854,994,794,390,472,258,109,789,
004,783,716,903,303,701,230,001,233,989,260,471,025,913,973,783,076,224,355,
564,662,016,618,167,710,029,095,495,236,130,676,965,767,707,695,439,400,211,
993,473,946,106,161,025,260,459,419,719,495,504,247,783,215,191,660,061,871,
752,256,204,520,295,082,674,830,970,601,461,553,101,903,372,085,904,422,979,
650,270,907,419,973,682,552,247,509,901,027,812,354,583,616,057,129,639,307,
224,173,252,088,890,966,526,553,162,823,223,989,741,840,133,042,554,380,319,
124,131,868,554,271,724,684,836,332,079,750,825,805,623,557,222,015,695,615,
261,522,968,212,093,082,928,492,786,795,217,112,938,510,429,998,209,831,941,
773,334,095,386,893,961,250,773,923,061,537,099,336,167,212,496,286,137,793,
914,406,554,061,102,215,060,754,670,340,422,005,625,379,128,476,291,142,148,
845,089,870,785,761,607,992,976,845,409,428,783,202,589,277,996,017,259,264,
016,111,473,869,369,860,371,680,618,449,241,368,046,698,973,685,208,375,040,
290,262,837,441,715,631,385,347,905,639,457,697,739,906,897,310,102,372,281,
660,784,789,535,984,250,965,291,060,763,767,121,659,095,393,090,225,144,541,
733,019,662,557,819,894,030,719,314,289,820,766,231,031,791,468,933,566,455,
244,807,139,021,291,646,556,522,804,747,497,204,171,511,036,566,835,872,729,
540,963,509,043,026,298,796,405,805,164,738,335,155,588,545,839,914,598,924,
094,644,555,910,363,382,445,405,547,828,052,804,498,557,923,163,278,212,751,
559,439,620,339,990,513,270,245,145,894,395,667,738,054,789,065,286,417,558,
440,875,032,684,503,707,805,072,436,142,764,105,367,491,100,372,355,737,820,
955,205,248,722,735,584,337,238,285,006,274,525,148,624,600,360,438,701,949,
319,209,081,975,065,203,218,030,590,624,785,088,847,339,358,799,911,070,194,
895,528,193,607,214,054,177,175,491,025,969,546,276,006,141,646,050,133,406,
727,487,153,288,870,842,635,858,899,437,761,750,689,983,290,020,169,991,771,
160,009,844,197,931,615,472,032,616,527,724,282,602,954,592,755,300,252,176,
367,392,358,591,223,108,366,773,971,167,574,087,522,784,736,574,261,569,927,
220,574,583,945,952,113,891,787,969,172,774,962,083,384,451,880,147,417,573,
200,554,928,753,571,077,173,506,500,542,564,121,930,711,963,152,335,526,837,
566,046,973,460,932,033,972,812,597,188,362,422,803,789,491,524,430,869,499,
923,127,786,615,926,156,632,139,384,998,207,034,344,882,805,704,857,703,296,
819,180,085,416,085,478,467,794,554,877,172,436,932,250,706,633,869,844,952,
811,021,702,168,890,680,099,209,196,404,516,659,168,214,340,473,944,040,093,
814,701,823,906,731,721,588,305,487,322,382,933,615,528,665,278,503,311,216,
466,027,824,286,375,260,608,334,292,716,449,622,008,644,916,294,249,829,447,
972,129,768,640,337,057,505,015,476,506,885,014,528,143,969,033,482,106,567,
875,208,447,373,975,926,681,629,546,730,566,948,467,481,328,754,139,986,744,
388,698,929,302,669,873,171,210,825,863,418,624,701,210,786,205,139,094,555,
675,306,020,339,501,255,215,360,156,836,491,778,510,098,070,608,915,245,595,
952,021,255,987,727,970,257,845,257,702,722,836,041,718,849,539,501,294,239,
238,344,537,473,436,575,254,802,667,889,944,910,818,348,057,607,070,765,565,
944,774,648,723,197,020,210,422,769,961,318,153,165,542,578,904,061,960,444,
028,759,738,927,062,463,491,876,857,527,990,682,733,365,541,989,696,271,830,
029,135,865,902,724,018,309,579,042,541,761,099,517,980,286,000,124,706,882,
049,049,307,478,486,096,025,614,340,186,933,786,336,071,121,740,709,625,620,
143,227,994,643,202,633,218,254,541,960,193,108,662,902,116,250,224,690,223,
073,284,160,521,506,753,180,313,264,904,791,062,875,152,170,655,705,525,238,
920,604,981,540,941,259,319,163,973,451,726,848,523,764,015,697,913,002,948,
109,170,313,187,575,071,414,986,799,741,974,544,596,888,678,063,945,595,685,
594,730,038,648,882,431,001,217,720,534,936,249,637,519,585,412,145,976,944,
869,311,626,809,344,925,091,598,015,817,678,652,080,709,937,887,916,099,094,
337,700,814,747,308,703,997,166,699,640,050,805,372,699,675,780,864,809,536,
936,438,954,811,579,116,106,065,141,806,700,604,826,027,021,016,468,132,486,
219,225,873,074,916,437,477,618,382,003,525,764,521,009,471,867,080,017,031,
024,502,600,514,976,220,499,631,585,195,141,303,935,938,909,096,943,952,465,
964,483,586,986,015,151,304,180,427,333,297,207,608,629,677,898,003,687,378,
065,816,227,769,042,735,415,497,848,340,440,304,734,079,401,598,947,208,223,
216,645,611,196,705,493,181,205,526,258,151,165,027,623,588,683,845,950,911,
913,538,354,897,939,761,643,819,049,625,809,699,124,479,879,993,759,993,703,
565,638,277,494,605,451,334,494,693,316,566,859,891,645,635,385,790,450,859,
438,309,901,616,885,876,924,085,896,656,880,370,544,426,929,774,616,138,319,
693,370,805,370,584,418,287,695,713,723,140,638,729,493,552,732,771,445,821,
755,473,597,288,996,561,701,288,880,396,111,116,394,996,247,195,247,182,661,
194,960,330,927,068,307,356,344,346,007,363,591,169,452,760,199,720,706,134,
921,014,582,004,684,347,613,223,738,437,704,864,198,052,800,503,191,597,293,
965,512,140,208,008,652,112,621,858,016,529,602,444,196,983,622,787,905,616,
146,143,644,780,819,464,640,891,916,281,657,174,571,354,233,188,614,543,416,
998,995,164,601,695,192,469,432,646,061,989,035,572,573,247,105,774,926,903,
795,542,471,583,759,747,116,778,118,363,083,341,670,515,756,265,041,504,042,
338,993,803,416,939,750,379,127,387,996,954,779,347,283,200,177,580,645,852,
525,364,346,158,305,043,609,177,691,941,692,384,389,893,166,202,031,680,350,
584,039,771,514,877,143,497,442,028,894,769,054,050,432,729,138,504,071,958,
666,697,920,170,501,449,462,631,108,810,747,550,101,529,382,820,128,494,498,
987,061,446,674,565,145,780,541,102,416,104,187,055,387,871,411,170,392,466,
690,183,462,060,221,129,857,865,990,996,721,855,562,653,942,756,259,222,127,
568,919,175,162,489,317,612,645,156,428,830,486,720,369,154,454,557,811,679,
809,171,286,157,647,917,272,800,005,306,211,503,243,885,433,056,438,727,992,
657,757,327,860,861,963,478,167,733,516,894,306,738,710,815,413,139,823,891,
199,360,265,019,521,482,243,469,958,324,497,101,230,616,993,035,448,142,999,
850,732,367,556,168,806,522,954,822,037,094,126,066,576,342,231,404,362,624,
441,875,626,732,328,622,132,513,611,226,052,527,908,102,917,182,359,314,900,
583,080,862,670,659,101,752,385,591,556,880,357,220,016,857,856,726,201,416,
133,233,657,073,519,010,475,782,291,739,642,249,217,227,289,960,722,570,749,
403,112,704,076,239,106,972,951,817,651,741,498,248,463,691,903,073,400,204,
446,120,672,645,127,054,795,968,826,190,726,150,254,155,565,543,012,512,607,
742,527,329,269,155,173,876,860,734,304,891,536,726,306,844,629,763,346,797,
521,493,788,380,083,218,155,612,728,634,110,891,647,353,242,920,033,302,450,
372,447,544,968,390,016,092,133,170,056,299,723,014,237,369,236,646,695,233,
813,281,181,809,232,923,524,341,107,819,923,190,398,915,600,439,905,552,651,
712,133,295,795,065,091,085,425,903,985,170,788,923,202,624,994,032,601,336,
724,078,023,087,093,492,674,116,469,286,117,281,528,837,041,077,497,239,112,
749,576,140,779,911,556,058,486,856,172,416,286,489,195,118,540,476,367,133,
173,716,471,473,638,880,910,176,956,795,919,166,715,115,723,864,532,342,403,
098,724,150,447,255,072,537,954,197,799,832,097,588,860,596,903,566,578,955,
007,322,068,422,584,881,876,750,183,087,029,625,009,978,696,299,728,043,829,
852,829,886,446,724,884,127,909,212,823,584,682,533,258,366,237,383,081,684,
020,483,187,282,531,823,669,827,290,640,940,138,147,302,092,600,839,358,862,
840,531,682,112,398,438,900,527,969,035,667,575,692,787,534,529,713,782,781,
868,605,111,591,765,249,162,773,743,672,639,825,839,624,800,779,447,956,721,
002,071,971,593,729,011,368,042,919,121,277,217,302,125,048,993,431,251,834,
594,574,311,402,055,899,139,277,361,096,396,372,456,268,773,310,530,944,808,
719,878,719,334,784,452,267,832,515,138,752,677,464,251,682,868,513,284,372,
719,565,723,004,664,170,653,908,734,982,225,148,059,418,533,173,868,934,444,
768,492,032,368,437,846,406,181,508,960,770,632,336,774,495,080,631,780,513,
739,864,778,077,003,220,331,172,708,016,143,932,505,721,478,039,351,780,111,
094,991,693,496,919,035,399,087,937,842,953,902,402,405,770,321,803,361,652,
139,571,227,063,341,603,926,872,686,211,734,666,862,516,191,110,867,077,398,
862,656,018,182,530,117,400,204,487,544,119,926,944,825,359,679,930,546,122,
355,390,158,050,124,344,953,304,253,883,034,037,995,959,148,710,542,605,854,
072,213,935,287,119,578,379,863,279,049,813,398,797,971,056,234,668,036,241,
720,667,376,258,576,219,502,332,364,108,061,079,831,315,120,748,923,570,287,
340,566,509,421,256,917,156,039,046,186,917,094,589,251,919,861,739,944,861,
635,722,512,281,479,859,541,742,893,918,415,353,133,780,124,746,303,597,600,
697,135,023,118,178,051,376,655,106,358,014,790,234,363,749,650,554,376,075,
908,740,837,705,721,779,640,267,749,498,341,250,087,997,133,819,304,335,637,
638,701,703,039,661,404,272,320,456,075,786,323,241,000,050,538,736,680,050,
144,028,436,327,197,163,874,739,600,341,775,210,958,317,750,669,976,603,196,
431,133,933,888,198,222,603,361,568,351,781,661,339,371,095,420,707,212,608,
979,261,162,762,440,309,161,921,796,261,584,395,137,272,078,589,959,899,203,
585,271,998,150,662,758,274,229,534,504,236,180,962,566,017,723,212,568,887,
805,732,407,956,089,005,754,339,163,282,188,745,166,248,786,571,571,821,880,
395,834,620,455,034,441,865,787,166,069,834,045,113,768,307,736,755,803,528,
328,491,790,921,866,593,845,580,525,647,557,912,951,637,360,397,974,640,614,
140,865,795,072,295,997,738,306,696,998,043,486,032,955,083,632,369,624,001,
552,284,675,048,414,423,307,698,901,781,823,473,794,337,279,244,127,188,938,
315,240,372,828,426,157,566,924,173,117,881,255,523,836,099,963,698,269,919,
809,115,330,200,113,716,622,911,786,040,195,482,174,353,266,798,556,663,697,
642,989,352,832,255,565,971,815,395,746,864,810,240,930,517,206,837,709,025,
801,411,726,464,819,380,169,445,291,667,737,493,181,242,816,124,576,738,196,
855,478,348,363,713,548,534,967,094,489,927,170,400,143,902,873,130,500,163,
534,639,184,391,415,658,616,831,860,029,215,042,555,737,858,077,677,596,539,
157,587,562,197,840,294,442,874,305,510,351,423,143,056,985,267,766,729,185,
585,363,766,960,342,310,590,838,829,965,234,312,394,646,863,400,827,473,248,
185,671,769,262,403,295,731,374,348,759,223,211,987,872,391,506,570,778,194,
002,265,592,092,360,635,944,863,627,606,789,630,230,313,271,894,177,594,931,
498,438,724,713,440,785,638,861,324,081,816,594,036,704,088,973,537,526,081,
966,374,700,126,514,014,357,468,442,454,768,509,112,752,139,500,823,988,456,
016,360,738,216,581,607,317,589,013,368,892,759,880,766,902,841,080,071,968,
647,878,535,137,941,330,908,447,070,241,375,424,152,250,373,251,681,577,479,
644,366,815,311,477,281,259,568,827,947,907,958,232,734,224,508,732,443,514,
042,463,378,371,188,289,730,133,975,777,318,357,378,060,021,807,835,066,484,
796,950,960,205,348,766,361,292,110,486,721,197,662,900,481,281,793,097,720,
186,217,869,422,993,254,755,614,804,521,500,317,705,759,600,881,761,938,329,
204,135,447,839,290,855,269,066,171,694,271,793,950,776,103,015,131,318,876,
823,712,369,436,456,719,779,748,045,456,734,777,968,613,955,221,737,783,946,
014,883,440,385,684,948,479,827,639,670,115,430,484,884,118,510,742,072,211,
907,287,200,002,971,137,836,086,050,859,590,581,663,258,858,241,746,042,109,
566,616,484,863,151,608,058,422,805,940,984,107,498,502,376,140,603,374,420,
246,861,887,037,352,751,337,589,013,650,270,028,423,129,838,960,547,830,485,
139,892,226,012,466,997,284,247,472,369,999,838,985,005,168,202,980,666,876,
352,618,449,960,378,671,416,636,089,831,298,746,933,594,854,811,324,310,195,
763,365,429,773,710,095,947,611,813,083,862,214,076,643,863,142,366,931,628,
118,639,352,400,830,552,501,669,773,014,583,776,344,354,349,703,462,076,245,
392,465,346,177,361,878,879,141,450,184,678,922,461,197,377,256,447,537,333,
833,799,574,841,584,579,278,278,069,550,629,658,685,950,790,327,840,528,782,
916,767,042,953,096,748,914,168,525,993,189,363,398,854,818,175,689,252,459,
678,471,658,008,062,819,301,038,297,477,479,383,634,620,845,412,169,885,695,
818,049,185,095,138,998,030,193,101,462,183,039,991,182,478,641,203,316,520,
852,352,939,764,838,884,508,409,104,653,765,254,685,587,063,283,533,473,950,
669,695,717,348,560,457,217,444,311,450,515,696,683,612,847,280,719,977,511,
564,079,569,830,210,618,168,698,760,176,567,535,508,043,665,092,133,652,807,
271,666,867,438,832,014,110,344,147,854,539,337,365,963,346,938,191,193,537,
905,437,760,182,158,985,390,121,665,746,596,682,066,847,065,528,076,888,263,
062,812,507,878,325,164,722,336,404,184,724,481,483,874,868,946,420,031,527,
107,532,813,767,337,246,026,852,129,391,127,082,299,870,253,966,975,793,816,
042,092,525,880,689,594,441,846,605,649,097,631,929,253,033,956,972,673,289,
630,398,158,491,228,870,526,474,002,054,045,395,693,269,577,438,660,548,955,
017,014,066,389,598,765,133,856,213,074,483,208,582,473,144,250,072,144,438,
631,808,230,400,992,260,731,030,534,016,307,523,050,001,335,817,404,811,749,
908,028,097,678,157,756,279,080,863,176,438,167,558,664,943,636,488,054,609,
545,759,630,497,685,081,521,282,479,377,029,183,504,173,463,281,954,611,451,
945,576,424,682,416,824,342,283,775,204,943,435,265,950,132,217,529,641,786,
451,270,825,127,615,437,410,280,817,371,152,770,430,623,426,524,282,273,179,
013,551,226,204,251,609,419,034,320,413,659,775,960,051,636,826,074,322,898,
396,545,481,306,257,727,941,874,419,361,798,060,775,044,746,621,231,999,000,
623,433,252,971,360,941,647,872,421,684,404,335,882,817,549,764,730,656,722,
509,093,108,622,111,320,424,250,875,143,590,755,217,732,322,925,083,832,447,
547,689,996,415,942,530,476,352,520,604,751,232,832,328,341,097,149,140,820,
847,461,006,336,525,856,657,223,357,959,109,988,841,990,390,180,168,473,173,
883,616,896,516,541,660,863,015,007,735,490,945,064,247,986,036,025,625,073,
816,823,295,517,186,250,646,559,442,029,104,659,326,692,512,180,308,201,846,
267,153,072,792,328,100,190,132,741,350,470,221,935,365,752,002,206,669,440,
956,394,447,508,398,910,764,042,397,272,019,959,109,959,413,347,291,287,727,
962,144,497,582,742,738,498,825,347,687,278,524,802,082,198,915,021,327,362,
313,196,720,386,703,404,215,820,924,218,224,188,984,795,853,328,425,499,501,
075,212,481,396,911,742,344,698,163,237,625,748,726,738,124,209,459,190,704,
628,985,503,405,708,472,699,461,687,247,046,935,984,952,297,125,974,639,120,
490,162,539,909,357,266,240,887,731,488,240,875,383,581,532,693,424,401,261,
093,490,605,298,940,730,021,035,438,075,850,921,784,661,504,564,411,321,675,
490,631,701,686,856,161,237,079,634,970,016,294,522,589,264,756,285,334,089,
742,720,758,952,790,927,594,774,715,450,757,133,330,464,182,168,629,847,228,
661,970,487,927,898,422,271,020,151,163,495,295,117,759,622,556,316,733,462,
185,829,925,370,273,189,324,495,535,647,263,052,541,034,165,250,160,480,225,
988,803,972,282,530,989,751,609,026,790,377,417,138,670,064,103,927,441,950,
597,954,004,499,365,805,362,858,021,538,037,346,099,118,692,456,551,175,722,
415,875,267,156,307,612,221,317,426,473,759,216,847,785,436,210,475,294,935,
710,221,160,445,457,600,345,701,294,417,811,684,496,352,654,523,010,483,458,
554,273,515,754,228,233,771,479,172,767,266,984,177,051,557,410,130,553,891,
575,287,917,092,036,319,106,897,622,918,189,767,899,006,850,471,369,184,980,
689,680,097,451,443,848,841,939,405,943,024,443,405,224,875,361,880,992,028,
879,108,346,159,925,094,725,069,515,995,393,819,271,642,469,424,630,299,498,
600,538,084,797,228,907,952,553,250,710,774,615,481,409,911,079,205,229,197,
084,209,468,125,526,631,953,406,371,208,558,822,064,794,517,917,130,923,475,
819,593,888,934,028,940,831,292,945,953,436,582,932,984,625,491,062,017,899,
773,064,256,121,547,986,683,540,433,448,342,681,404,541,684,374,230,102,323,
542,007,364,029,877,818,494,362,997,719,658,920,766,448,867,260,480,939,595,
594,319,730,903,864,294,690,300,264,219,010,908,487,259,152,269,940,307,898,
071,661,025,394,200,478,491,588,459,494,669,582,751,667,815,248,010,133,259,
172,901,150,529,353,324,162,997,071,120,179,063,582,462,104,654,994,644,037,
088,263,226,338,959,153,156,652,136,515,958,486,678,811,598,815,229,025,584,
155,161,763,153,608,197,996,245,813,599,426,781,912,526,037,948,781,009,082,
540,530,574,613,304,643,044,486,584,240,768,707,761,451,198,677,459,592,195,
578,232,508,641,870,268,260,136,479,216,462,330,418,398,499,522,208,562,047,
804,967,532,137,275,734,177,379,863,609,216,323,916,716,712,004,698,977,128,
240,992,505,456,965,121,588,699,324,108,960,637,714,090,930,484,651,096,467,
297,868,903,650,447,860,762,406,621,434,122,195,531,716,704,726,855,595,056,
374,039,372,382,138,415,965,694,639,045,409,333,373,479,933,027,536,999,024,
750,550,976,477,871,926,973,267,645,157,049,354,131,120,097,178,939,240,393,
412,590,024,149,389,947,710,403,334,666,257,313,115,104,384,516,590,031,334,
943,567,416,050,460,355,295,428,558,801,030,128,021,442,933,326,740,386,790,
062,549,361,194,064,356,247,313,448,539,272,362,864,160,705,400,401,635,054,
639,174,191,472,161,763,415,049,669,482,668,384,000,918,250,932,120,822,442,
095,831,534,427,553,924,556,743,127,261,171,323,997,678,899,317,946,673,474,
843,689,471,574,639,547,038,007,602,048,257,541,698,722,291,849,212,520,632,
059,557,859,522,599,781,237,316,291,970,467,370,505,302,912,684,120,607,439,
481,854,473,220,665,022,090,681,496,634,283,096,948,105,177,354,310,209,025,
466,856,817,439,797,523,056,684,254,045,762,013,230,991,326,668,690,805,816,
554,952,694,128,355,745,533,280,424,565,120,803,764,236,787,468,350,787,246,
324,440,581,969,402,873,535,611,089,482,841,188,964,994,388,398,335,832,860,
966,401,677,125,509,918,659,051,076,636,597,160,919,018,726,904,249,648,319,
778,175,897,464,030,467,558,441,628,128,566,736,219,707,062,403,601,900,541,
361,838,466,890,206,112,903,133,319,946,725,017,348,907,926,976,427,034,620,
579,180,915,631,677,988,272,202,980,165,354,497,271,144,646,475,326,955,374,
803,781,462,493,607,014,292,808,770,536,928,868,241,693,996,178,953,032,270,
618,620,249,357,300,694,099,426,295,277,462,805,792,153,562,922,465,320,262,
399,663,012,427,094,776,699,584,928,869,563,784,364,998,623,083,449,268,126,
615,737,569,379,912,635,577,756,627,109,919,700,102,821,644,501,499,827,819,
438,999,867,467,671,854,592,618,361,217,282,746,869,643,132,232,055,964,308,
343,839,690,516,226,848,949,619,831,426,947,743,863,465,006,890,337,379,700,
628,032,403,829,200,097,709,158,792,157,338,083,647,746,567,842,843,988,457,
949,844,201,740,022,028,557,191,509,672,172,468,708,281,502,056,626,811,230,
748,535,541,729,981,046,799,037,314,339,824,747,468,304,036,946,581,856,366,
792,864,069,136,702,889,972,421,671,592,804,269,064,578,701,980,897,497,193,
676,804,212,079,739,040,890,048,917,641,515,183,420,100,566,873,271,462,298,
468,518,341,210,734,279,234,475,207,148,531,320,647,607,533,405,828,339,089,
076,511,280,052,734,544,139,289,245,417,699,787,534,863,514,476,687,513,609,
908,435,028,994,460,541,283,132,881,289,318,419,954,728,056,769,414,816,796,
907,486,758,016,860,435,192,002,093,214,492,283,950,260,272,723,913,823,866,
355,486,093,989,613,103,204,641,943,279,486,407,250,521,368,086,717,117,429,
606,218,150,539,886,196,247,266,093,672,022,311,878,607,588,947,290,359,649,
739,110,373,622,032,838,155,390,902,595,987,606,228,125,884,588,851,503,619,
904,452,721,540,498,868,830,733,474,412,946,406,237,110,598,962,106,800,527,
866,582,226,370,013,617,433,663,004,069,140,869,284,016,078,757,033,928,668,
230,195,113,587,152,584,184,529,895,166,643,690,715,155,073,837,878,668,357,
453,696,347,226,619,439,101,096,494,991,484,376,244,363,964,957,739,914,336,
265,432,166,115,482,882,736,359,933,158,578,282,363,232,602,326,896,778,973,
727,401,350,205,510,008,669,859,936,275,138,055,131,621,438,720,263,621,700,
080,608,271,348,186,877,514,123,731,561,859,937,486,922,383,367,589,341,002,
096,080,307,219,127,647,951,312,656,363,572,938,705,953,641,202,305,606,278,
892,966,299,255,771,155,911,658,968,605,281,792,165,520,167,924,240,927,159,
332,274,941,514,625,402,167,312,101,769,513,702,600,704,668,942,580,792,319,
294,547,224,177,894,772,614,111,231,840,926,394,323,661,640,545,873,618,762,
535,018,825,499,483,058,973,393,939,844,391,626,772,194,148,755,597,391,445,
258,380,196,362,916,714,479,872,519,322,431,383,779,181,786,346,685,390,160,
941,324,030,536,474,456,778,375,572,740,996,796,194,584,095,611,123,109,424,
526,874,817,994,949,052,165,009,773,407,330,304,272,812,141,347,344,570,165,
475,716,123,961,032,415,451,220,008,668,228,572,340,066,798,443,876,157,511,
715,656,273,565,509,880,597,448,939,252,705,371,152,051,081,017,740,979,800,
802,652,220,086,727,742,846,780,818,402,852,810,341,122,710,008,720,838,637,
625,302,230,390,377,669,928,306,295,171,214,158,902,663,197,607,630,634,246,
876,561,327,387,298,443,989,843,460,763,057,911,665,762,708,999,040,919,831,
348,281,314,524,235,293,978,264,684,956,592,639,816,556,446,227,266,383,574,
477,799,168,215,546,073,000,769,971,190,699,675,241,829,318,349,175,544,503,
422,496,404,389,863,985,946,073,436,963,648,369,799,364,151,397,279,232,527,
417,222,046,992,994,022,681,504,014,299,529,889,972,274,670,638,118,444,444,
078,372,980,266,128,753,905,987,779,257,290,364,977,240,558,120,716,163,934,
204,460,259,559,710,672,472,190,145,689,739,360,259,192,331,418,650,310,368,
433,571,694,181,162,757,347,534,736,904,575,036,227,305,438,903,205,373,620,
817,636,140,041,708,328,804,217,028,432,346,557,890,155,332,448,548,173,797,
721,360,390,961,687,535,078,724,162,462,739,125,737,766,550,281,027,616,196,
669,982,944,005,420,615,329,904,267,780,237,672,731,884,730,235,109,076,885,
375,371,021,980,691,523,985,883,183,355,687,052,501,104,257,319,991,747,128,
591,106,734,292,280,641,435,119,292,323,771,351,653,606,943,284,123,068,347,
736,397,970,408,527,004,321,238,306,430,803,758,225,832,682,580,766,555,696,
712,481,208,545,109,572,469,979,075,610,412,625,352,866,048,186,945,954,110,
505,330,500,062,549,788,885,795,907,630,796,082,798,073,114,436,838,971,989,
330,629,326,317,282,407,167,525,109,386,251,776,513,704,813,061,155,243,209,
531,142,099,960,842,813,031,927,444,984,123,259,088,580,189,445,954,080,129,
523,547,625,571,219,053,683,459,895,508,643,776,809,451,901,242,097,416,938,
729,132,096,424,661,697,766,765,611,966,402,335,562,048,358,862,689,486,727,
334,915,765,966,437,845,100,184,130,541,585,324,738,455,065,701,278,078,223,
778,235,183,302,238,143,464,502,537,773,591,359,029,566,306,647,681,874,164,
286,518,212,919,318,736,913,718,267,710,570,752,358,876,829,190,715,312,730,
835,208,288,218,795,990,221,206,832,705,108,228,467,894,047,882,746,087,347,
579,762,530,835,528,791,492,061,787,404,885,532,947,844,492,196,907,697,465,
814,845,240,980,921,872,248,738,044,304,088,590,208,270,449,854,086,391,845,
657,420,303,141,258,043,271,336,813,676,012,183,556,162,285,432,814,279,134,
171,401,312,990,090,395,346,093,087,985,692,713,065,641,684,690,194,244,115,
474,426,219,295,883,644,228,525,444,048,731,988,599,397,660,668,109,599,900,
219,634,322,020,836,095,880,888,949,492,087,237,464,893,786,663,110,734,000,
652,118,146,677,457,815,109,569,310,374,542,501,016,557,528,866,558,308,605,
672,185,786,845,972,391,331,045,957,595,050,615,832,045,555,252,919,019,091,
158,881,518,218,721,373,910,801,591,399,999,572,535,581,715,243,456,105,886,
167,334,347,062,974,395,535,800,400,125,897,510,223,761,905,936,338,609,966,
883,960,465,731,688,292,788,611,274,911,190,626,398,544,050,975,440,688,825,
055,008,649,329,374,275,129,985,914,830,395,010,496,617,525,786,282,642,302,
785,913,452,529,959,829,215,409,717,470,206,056,523,023,794,711,646,583,637,
234,282,830,974,839,106,652,726,684,345,138,547,521,936,823,771,492,669,563,
377,294,638,465,756,032,705,965,175,092,656,866,442,055,115,887,675,712,184,
209,853,628,192,728,630,172,678,648,471,669,822,238,477,051,028,820,528,628,
459,827,808,457,990,529,066,411,998,692,042,775,578,843,583,484,613,960,375,
415,445,707,425,110,725,932,040,402,288,191,479,687,436,678,622,087,759,563,
033,472,636,656,731,246,393,863,336,253,533,153,255,730,572,860,303,729,154,
901,861,187,648,024,790,316,041,923,704,684,558,951,560,730,628,188,012,273,
949,504,819,103,331,763,592,222,184,651,034,271,978,541,814,747,806,788,809,
510,625,649,028,928,981,106,822,552,467,970,623,856,418,125,355,097,192,347,
580,096,969,793,906,782,609,780,549,812,077,649,435,577,935,564,931,278,835,
149,404,408,802,788,336,822,829,544,448,862,582,069,443,555,185,589,460,517,
466,979,016,748,750,581,320,954,124,281,404,138,610,734,869,633,782,683,129,
660,460,929,313,046,498,628,192,978,004,174,243,698,777,785,238,989,209,298,
941,028,044,794,268,113,653,605,689,242,978,983,527,875,768,246,162,873,074,
786,352,009,367,753,251,996,394,217,926,664,963,820,953,991,161,669,862,956,
671,660,678,093,336,655,572,451,869,538,465,871,623,762,049,239,164,317,507,
075,437,534,493,495,984,144,626,939,948,539,724,936,016,607,789,971,245,649,
699,252,543,215,378,365,405,192,644,229,695,342,113,386,640,353,413,500,996,
105,524,930,886,587,451,722,460,435,313,193,614,560,666,546,446,332,213,467,
788,409,872,788,396,929,302,703,594,982,589,765,349,271,982,643,311,977,431,
704,027,654,429,231,789,929,680,299,423,420,982,728,672,739,705,248,901,230,
074,628,955,692,168,620,388,481,145,673,126,942,089,828,957,186,655,851,839,
586,767,468,459,469,332,943,452,264,684,232,857,807,702,128,601,742,849,688,
999,372,423,624,398,170,728,563,644,125,392,536,204,006,646,631,847,575,465,
414,955,541,385,599,540,347,420,078,860,537,415,578,348,504,242,860,732,515,
128,512,697,008,798,257,890,970,474,265,703,837,985,987,215,399,516,518,286,
946,432,905,084,148,242,435,310,139,906,011,795,346,261,121,851,454,395,525,
352,681,215,163,662,962,692,910,386,132,279,917,823,170,854,240,260,332,327,
194,057,366,632,492,522,820,869,219,502,209,496,218,024,125,259,801,244,251,
456,198,444,601,578,933,113,585,086,100,560,023,905,245,196,039,722,961,011,
615,479,294,574,942,771,295,143,946,352,282,244,808,746,194,479,859,279,188,
717,275,485,707,645,931,450,770,367,838,469,223,047,648,101,167,184,130,794,
023,717,826,483,575,431,652,676,442,585,176,333,536,807,581,474,411,096,085,
662,181,006,120,011,526,439,912,194,204,460,379,383,236,484,909,222,307,966,
819,517,015,641,418,073,342,751,468,456,951,136,160,700,724,549,195,330,342,
929,736,837,481,527,420,148,046,940,986,214,793,044,017,082,855,626,989,778,
573,813,698,542,972,651,598,310,311,773,391,103,580,592,450,956,986,017,918,
740,949,349,402,711,059,205,941,158,777,799,066,767,021,895,706,576,946,653,
256,775,548,358,154,189,729,663,816,655,189,598,081,862,479,367,684,853,441,
306,885,961,278,319,160,713,508,902,835,329,785,750,669,432,231,885,602,526,
760,980,733,889,939,424,515,227,393,469,749,751,796,819,736,848,129,404,626,
177,983,291,884,995,540,348,000,471,866,417,882,400,750,769,551,886,651,325,
618,295,855,002,325,721,287,346,739,283,854,246,637,687,972,481,281,418,650,
857,736,328,010,864,777,061,951,852,384,726,097,722,823,518,970,380,837,462,
075,962,691,010,309,578,419,426,976,100,688,324,776,558,567,307,245,575,617,
516,280,192,507,739,189,208,735,275,454,276,310,374,789,836,585,606,119,292,
525,289,194,824,890,415,308,222,427,026,221,386,600,317,919,513,278,199,175,
274,713,821,414,570,691,596,156,908,898,887,929,763,991,891,246,584,052,812,
965,517,422,907,281,692,200,115,434,385,514,107,166,794,890,328,224,851,115,
936,385,212,286,185,918,723,848,839,111,741,514,586,459,563,281,074,414,354,
477,595,293,391,707,417,924,928,762,256,455,196,590,767,157,797,993,889,698,
826,412,924,522,175,983,990,627,613,633,023,366,310,361,645,492,733,028,607,
755,963,451,070,107,212,607,724,083,252,123,736,219,736,574,840,490,435,686,
402,573,988,081,916,416,826,279,169,868,203,391,348,604,642,897,109,427,754,
273,902,028,838,957,526,835,876,962,699,925,105,287,239,230,840,202,205,746,
540,600,920,992,678,060,194,149,409,328,562,319,389,039,674,858,989,279,115,
712,095,659,551,813,825,844,628,878,673,041,390,573,020,094,389,282,706,660,
425,645,335,197,323,115,658,211,859,048,714,242,852,676,469,626,865,341,662,
434,810,895,632,169,076,070,940,471,420,901,526,349,809,322,716,710,267,207,
807,122,929,620,425,354,654,330,857,151,545,163,195,595,899,208,569,755,536,
029,484,821,897,492,661,749,535,027,779,539,850,499,567,901,129,428,364,644,
740,965,813,805,508,070,495,143,157,339,109,535,021,083,140,787,078,251,588,
684,949,465,890,142,053,847,011,930,270,497,384,362,500,996,786,141,846,063,
174,066,723,983,573,508,262,524,135,261,934,826,762,966,617,114,138,235,514,
777,220,463,236,724,403,904,696,635,675,230,740,979,168,771,239,036,138,105,
610,655,679,054,177,707,081,196,562,323,460,750,867,237,907,652,213,507,127,
048,520,851,575,660,363,282,671,068,618,563,962,425,598,377,191,931,890,567,
454,514,796,162,683,907,998,077,870,530,897,226,360,652,483,208,504,284,560,
040,526,693,909,779,712,239,082,476,512,183,997,087,747,506,097,608,935,597,
568,928,021,220,553,669,434,244,580,303,430,434,142,633,004,071,180,834,052,
359,371,781,839,160,387,542,196,958,770,061,635,721,219,308,083,378,333,669,
643,896,598,605,437,178,225,192,101,290,725,867,275,343,565,710,815,537,233,
913,794,183,822,692,702,204,208,852,410,294,542,247,514,954,999,660,835,363,
321,689,351,830,092,654,446,464,109,774,609,459,660,506,809,574,133,168,741,
366,408,768,721,818,586,168,125,604,616,334,172,582,298,842,009,124,046,838,
979,252,851,202,100,045,145,495,214,570,531,207,988,084,831,851,993,293,295,
534,493,360,281,859,471,908,690,678,655,716,823,852,612,045,815,169,217,993,
704,790,725,848,969,156,139,274,483,266,787,506,811,980,798,772,358,550,008,
764,347,489,172,810,345,614,352,874,153,534,243,696,053,416,782,187,870,229,
620,856,829,998,663,894,022,785,318,777,414,424,317,894,895,080,806,923,852,
124,670,885,903,853,081,883,444,624,379,861,398,393,762,185,532,777,264,028,
846,354,268,021,324,327,010,939,467,142,824,789,920,170,728,858,349,512,472,
264,087,467,348,051,559,416,752,574,492,927,998,637,388,990,578,962,707,606,
756,517,238,890,292,070,527,901,759,517,768,232,107,103,580,621,988,706,256,
383,314,723,707,425,340,405,908,848,820,961,155,641,548,734,331,052,470,426,
845,219,695,287,022,416,151,263,698,372,519,744,245,042,490,583,051,505,529,
312,219,829,444,043,375,624,647,444,148,279,504,797,735,316,425,459,654,420,
838,170,530,292,712,816,363,417,623,228,508,326,250,583,328,313,169,254,434,
088,601,880,389,536,908,233,728,758,290,644,486,168,100,090,501,428,729,640,
922,527,087,259,818,393,504,812,222,206,151,484,549,329,872,177,190,133,683,
629,837,088,910,389,985,941,144,183,181,078,660,943,066,612,049,293,533,200,
107,972,361,441,543,791,244,271,212,498,917,872,147,666,042,348,147,188,546,
485,051,636,065,978,770,492,214,100,273,826,718,324,401,071,271,528,103,438,
725,028,837,457,166,434,916,490,284,860,631,698,221,613,397,361,854,582,140,
519,082,140,294,657,164,954,766,585,598,414,388,816,490,870,454,039,691,542,
283,578,895,412,717,549,546,538,987,322,225,080,191,744,680,128,163,908,375,
052,479,072,721,214,682,828,941,331,998,366,570,129,635,383,531,801,407,212,
583,348,015,902,660,220,443,587,427,277,142,790,449,679,777,916,168,817,297,
949,103,946,544,392,328,588,101,521,428,965,656,453,702,251,069,034,472,497,
399,194,222,102,275,711,936,001,784,774,210,191,558,681,901,581,836,735,250,
998,518,769,663,107,793,838,661,353,956,182,672,353,234,143,288,641,045,847,
530,784,783,310,901,391,050,262,463,700,743,999,757,955,316,927,730,848,084,
863,665,813,070,248,490,346,438,733,527,006,606,553,513,210,752,922,767,497,
379,915,070,149,688,066,055,302,181,910,042,523,731,531,875,281,414,613,261,
322,240,623,188,260,415,223,494,307,338,390,323,610,980,688,008,582,685,124,
472,884,447,589,138,661,611,581,147,953,916,615,073,609,787,848,916,764,327,
533,348,337,076,681,608,515,662,523,048,279,887,373,969,029,028,631,795,513,
464,023,388,047,398,471,568,407,441,873,183,380,011,083,761,221,516,659,497,
253,695,061,986,217,966,855,401,733,527,827,912,249,147,933,974,724,903,989,
725,886,418,196,407,141,932,138,857,834,428,814,474,305,173,419,913,932,590,
921,248,298,604,699,594,576,622,271,764,420,110,066,227,447,591,303,767,864,
482,573,150,503,670,361,260,809,370,784,936,605,225,923,667,036,390,444,540,
598,050,001,867,922,375,660,704,274,766,803,105,890,243,843,472,718,663,237,
102,135,954,581,961,602,645,324,146,468,943,824,803,210,495,937,978,992,879,
427,946,577,772,391,535,620,644,105,191,398,477,808,341,093,539,305,353,262,
664,520,025,312,761,070,761,081,413,030,192,467,356,639,394,797,456,922,266,
874,322,327,941,438,410,192,423,285,851,117,484,907,750,812,670,284,113,420,
364,352,561,525,730,432,546,210,395,055,708,171,412,095,617,972,027,890,365,
823,629,353,755,982,252,403,180,080,666,027,316,582,132,278,266,666,512,415,
751,759,606,808,246,239,342,851,397,087,983,325,861,248,568,367,783,112,909,
953,978,443,585,432,211,106,833,083,262,124,667,401,968,059,962,274,390,262,
278,440,449,609,761,112,325,053,266,812,856,819,269,919,714,189,100,597,210,
989,441,968,911,312,623,240,922,651,289,154,503,198,507,001,247,423,916,301,
044,877,050,230,516,067,450,733,348,646,983,515,413,936,152,468,841,193,591,
651,708,451,825,021,825,451,722,809,514,114,973,279,497,294,638,449,744,377,
027,213,560,109,690,383,350,211,693,669,907,195,247,283,537,660,819,751,216,
450,984,764,645,656,341,759,833,688,999,878,588,547,246,191,936,441,740,190,
595,180,553,645,214,020,011,504,849,252,161,344,558,211,184,412,501,168,431,
683,947,368,533,707,820,439,298,345,237,957,342,370,548,249,194,445,279,467,
118,625,328,741,250,543,868,397,607,129,285,173,240,231,232,545,531,456,329,
824,893,915,875,607,031,154,882,067,558,825,142,916,085,182,399,489,780,405,
269,220,162,215,448,562,456,527,931,078,051,279,692,668,301,754,603,567,265,
337,693,885,466,785,846,690,280,677,933,359,147,291,010,234,701,897,359,716,
235,261,512,587,840,638,079,579,350,327,046,630,502,189,290,945,191,771,836,
740,289,899,918,551,346,590,117,563,433,423,725,401,901,510,433,112,674,077,
111,640,163,348,457,699,470,219,197,368,241,330,620,403,488,195,338,434,844,
999,780,580,154,691,889,501,288,656,058,994,062,136,617,081,152,396,888,323,
076,162,316,887,338,050,136,756,297,431,015,999,657,848,508,330,503,087,797,
414,191,666,671,285,636,214,468,455,050,631,595,238,614,334,477,872,911,812,
236,856,263,059,856,576,899,956,227,750,682,401,929,289,322,509,168,837,887,
277,245,381,688,195,505,063,153,382,738,062,304,226,886,644,083,049,853,608,
622,183,200,102,912,558,224,608,114,593,051,199,524,399,596,174,556,740,951,
487,750,162,956,992,515,083,542,411,746,413,835,229,111,845,629,969,187,651,
710,052,751,122,241,424,243,306,441,825,684,860,437,766,185,118,652,828,942,
770,443,798,457,781,959,968,191,365,357,877,464,452,529,486,569,745,400,626,
825,541,377,282,988,975,034,179,647,125,040,064,749,099,460,340,108,183,770,
685,421,759,729,713,003,018,590,250,614,270,213,921,446,065,594,786,397,215,
192,202,780,082,264,112,504,372,939,527,183,385,325,242,651,158,306,310,311,
208,820,524,398,220,244,926,917,850,138,245,128,741,006,672,200,494,055,987,
551,740,384,827,267,296,351,953,478,004,102,733,440,971,678,855,251,660,705,
051,019,513,602,383,929,899,666,463,204,129,561,725,488,346,768,547,917,820,
376,344,637,651,674,764,594,575,470,461,263,350,009,678,619,690,193,610,470,
938,796,360,957,242,307,601,331,966,595,038,510,927,611,577,480,366,040,672,
485,621,821,270,349,148,969,073,955,280,897,819,876,967,629,073,940,784,429,
221,121,170,877,015,180,148,998,057,062,494,615,703,023,592,162,050,276,317,
941,033,197,275,852,095,301,210,495,424,442,773,327,472,814,961,631,772,316,
701,091,342,341,652,578,940,015,196,547,544,953,186,312,035,630,380,435,603,
639,543,581,976,725,083,869,837,929,435,864,699,390,975,139,010,574,628,417,
465,270,013,048,908,133,268,016,907,889,816,041,901,425,402,553,953,463,869,
901,587,647,187,314,056,135,119,395,730,692,289,802,799,482,919,433,694,387,
199,643,169,432,830,339,865,609,456,110,168,975,412,677,828,393,966,791,689,
364,046,305,126,241,842,812,548,376,899,017,521,552,431,023,720,026,536,484,
835,127,755,636,607,496,074,574,233,989,188,083,479,545,564,096,284,025,038,
177,327,893,240,384,096,350,705,687,664,625,162,202,324,463,354,727,046,056,
547,791,887,122,507,585,633,070,220,867,422,471,971,528,186,360,273,187,677,
019,064,783,370,460,289,445,795,181,139,969,280,874,606,042,254,520,341,910,
654,548,174,134,798,823,545,066,482,047,891,299,183,760,700,252,207,462,149,
310,603,257,692,967,287,944,566,279,525,531,844,261,225,433,256,496,424,388,
795,198,541,475,885,569,317,929,066,188,861,707,707,656,138,518,914,190,243,
101,084,581,743,731,610,410,662,357,524,580,222,311,575,430,493,302,239,141,
163,419,051,783,464,763,184,921,143,002,578,160,957,059,941,168,684,937,167,
955,309,159,724,841,645,478,413,676,007,208,406,713,474,157,405,370,739,775,
464,125,033,899,785,153,528,970,026,524,346,795,158,099,146,428,675,926,963,
680,712,915,251,807,849,963,865,176,838,122,298,663,650,677,305,036,303,516,
116,366,464,627,835,157,762,078,786,290,227,797,732,836,019,562,941,054,922,
105,496,689,454,598,344,978,945,101,997,383,173,326,681,382,218,349,256,921,
941,529,626,159,891,420,432,389,720,377,354,260,806,054,382,878,450,113,442,
705,487,871,572,162,679,555,093,593,818,222,802,345,824,450,023,641,485,116,
300,960,245,291,225,856,454,434,365,813,932,166,750,994,507,909,587,715,490,
226,186,340,137,424,369,251,348,380,751,925,658,578,343,385,916,548,819,129,
813,517,362,445,107,064,575,942,049,751,530,324,657,429,534,218,319,052,045,
418,642,477,320,844,685,049,802,915,509,581,995,450,993,877,006,066,695,109,
735,309,049,209,213,969,526,949,939,331,269,102,207,952,999,098,213,118,368,
362,700,535,955,143,940,645,649,580,236,219,097,797,993,656,159,953,853,141,
603,262,629,085,397,528,844,151,624,870,114,627,056,261,370,309,993,880,825,
355,066,004,590,008,510,178,188,776,634,315,803,921,815,577,991,255,982,957,
131,536,246,786,364,599,740,064,123,370,773,098,066,757,295,686,699,054,270,
627,325,808,090,780,184,454,593,221,408,809,934,800,703,788,671,951,355,103,
366,398,384,378,770,302,889,665,957,342,620,727,211,150,637,399,514,856,932,
689,710,954,025,633,109,958,383,627,781,117,839,243,854,446,660,844,869,631,
580,515,962,878,523,560,616,836,603,873,382,340,249,653,721,199,588,388,353,
859,591,545,970,107,906,063,975,353,570,531,771,536,005,432,815,678,356,322,
278,807,943,056,238,405,634,214,473,264,956,066,061,068,894,690,935,235,869,
269,349,830,870,486,988,571,895,794,878,731,141,463,084,290,348,617,392,096,
254,407,812,307,245,313,530,250,318,648,579,756,847,452,935,879,326,462,516,
116,727,146,828,811,235,844,784,048,702,194,479,727,850,305,635,186,142,584,
479,333,973,619,713,790,946,525,557,128,305,769,154,516,421,379,128,709,326,
671,746,667,942,488,577,743,040,858,716,609,816,570,245,657,832,726,978,945,
784,490,541,983,066,725,094,435,011,940,097,570,529,700,011,025,457,959,050,
440,296,531,906,617,182,539,993,734,425,890,523,799,082,199,557,691,358,450,
307,502,214,063,471,535,530,765,920,525,813,344,010,010,468,819,580,605,795,
201,318,912,523,945,658,990,838,078,391,398,922,545,195,837,099,983,224,290,
786,805,136,138,939,179,342,224,350,276,719,306,819,147,947,887,317,318,495,
857,670,455,858,968,193,070,910,416,462,692,632,502,755,059,060,323,969,342,
837,480,641,814,752,602,161,587,652,431,472,840,940,777,559,545,572,163,811,
768,645,503,215,370,550,587,603,894,454,924,241,624,470,385,162,783,550,982,
358,763,944,295,232,161,268,661,813,869,532,398,304,436,740,831,545,723,323,
664,456,001,361,341,003,854,512,696,049,429,470,860,714,297,116,638,529,365,
100,906,564,938,976,332,695,520,010,870,379,120,723,271,514,063,091,525,258,
060,262,217,869,892,122,328,739,623,138,307,559,135,705,973,101,056,733,276,
049,914,840,846,932,846,427,548,602,463,813,466,460,408,378,829,179,768,277,
127,539,530,990,633,653,885,481,802,553,593,755,339,377,516,981,202,769,117,
243,142,921,319,966,993,449,777,331,099,033,628,816,031,603,024,647,146,278,
809,417,774,622,880,904,965,658,551,893,913,732,946,850,722,043,067,259,293,
441,129,454,508,283,192,945,165,162,456,257,380,789,193,611,968,061,711,726,
460,684,261,264,170,099,194,886,711,720,474,495,304,038,529,537,377,337,040,
125,685,602,381,572,035,653,576,522,583,968,782,117,175,264,294,790,771,124,
954,737,816,783,567,646,695,029,476,125,383,937,337,777,251,837,434,768,686,
441,947,985,068,930,608,683,906,478,511,482,998,158,894,250,676,166,242,259,
361,964,208,082,899,110,715,781,219,943,970,698,601,929,151,821,736,168,593,
445,459,812,872,359,057,138,860,456,764,498,887,265,875,161,288,030,314,093,
417,185,748,711,023,090,374,309,231,148,636,151,157,547,603,927,120,095,206,
903,077,831,990,987,424,479,046,502,984,731,079,962,366,398,848,903,745,848,
407,603,883,429,158,477,089,938,831,588,690,806,902,629,519,820,915,175,291,
444,726,533,632,452,847,547,755,857,417,105,750,765,979,899,380,900,706,751,
367,376,769,407,417,711,730,575,574,254,158,837,137,636,106,843,658,544,929,
018,456,023,054,171,237,299,293,791,321,110,160,098,201,821,047,679,667,785,
923,937,008,667,555,209,150,522,737,875,009,516,892,785,879,515,299,219,478,
563,460,267,699,733,010,869,056,453,304,450,114,868,596,271,712,389,855,667,
002,913,017,546,928,679,316,980,744,207,230,859,957,884,001,207,559,537,917,
758,471,149,906,148,936,148,219,583,401,191,616,236,512,875,658,032,435,464,
826,357,437,665,094,643,705,758,293,295,275,850,949,119,384,426,989,606,778,
247,562,955,819,595,434,979,063,166,698,331,559,138,451,359,215,239,497,365,
300,101,720,279,319,560,166,643,307,411,403,053,122,490,531,727,708,136,795,
753,751,473,527,429,085,897,039,135,678,665,698,167,735,282,607,301,436,630,
490,662,535,431,658,275,587,639,342,612,539,076,345,712,745,297,522,916,629,
687,883,923,480,633,652,740,130,301,395,788,760,229,817,175,124,321,169,757,
705,631,902,605,023,832,439,903,740,657,503,039,325,648,801,568,284,555,728,
656,835,739,469,510,341,582,327,766,893,904,752,099,668,527,054,168,971,961,
593,668,156,755,848,153,209,170,620,144,666,450,214,553,912,015,472,736,229,
747,262,593,948,040,791,905,181,763,926,983,768,565,921,468,583,680,850,302,
947,531,284,302,567,983,910,672,974,857,270,531,316,067,244,291,856,589,848,
813,477,149,910,270,413,030,179,562,605,328,577,152,158,236,575,482,358,278,
867,030,207,686,250,580,641,614,050,434,699,848,019,109,095,844,743,177,840,
833,053,348,355,410,908,998,488,623,427,652,256,910,033,896,013,440,350,384,
794,403,576,389,340,710,296,363,773,305,130,250,533,302,202,444,292,372,423,
303,242,327,044,839,250,450,232,112,371,227,717,729,858,691,623,654,188,918,
987,929,399,618,846,174,101,474,703,907,653,724,884,998,724,985,310,601,955,
989,977,359,643,137,332,885,273,999,970,710,805,228,363,736,512,009,415,192,
642,507,140,818,349,328,454,374,953,709,016,849,731,458,154,648,331,743,926,
485,356,611,088,737,366,929,046,118,419,816,181,114,735,960,943,754,761,320,
030,071,737,734,728,990,764,823,358,583,946,273,354,650,581,602,451,629,758,
835,657,236,178,907,366,320,827,807,327,808,696,119,092,064,875,439,643,993,
909,281,710,275,644,215,702,124,902,126,990,776,583,028,938,057,666,983,493,
892,893,427,223,134,791,047,545,035,706,603,697,675,919,025,492,456,734,641,
799,938,737,213,445,656,331,620,762,605,990,478,511,334,602,027,448,778,542,
709,682,201,913,954,109,935,165,064,613,097,194,490,764,603,258,037,616,930,
604,998,266,621,390,588,101,382,578,706,243,597,286,580,507,949,983,490,016,
251,802,727,701,946,408,683,266,739,983,142,021,007,049,886,573,936,499,786,
553,546,990,186,342,362,923,246,534,314,952,493,633,841,909,655,938,479,194,
749,362,501,648,807,937,284,954,201,365,408,491,760,788,163,790,376,179,990,
516,169,386,646,774,616,566,690,710,002,225,631,251,933,092,488,833,462,221,
748,048,979,083,568,790,265,790,647,977,489,675,348,087,320,524,592,967,219,
372,300,615,133,522,967,321,031,796,806,921,945,160,832,697,684,103,016,038,
853,066,526,129,147,314,793,640,494,725,924,390,864,384,739,713,954,010,367,
093,905,400,037,724,396,031,945,959,511,699,426,805,725,457,915,092,472,926,
894,868,772,733,094,920,560,729,537,759,836,317,280,680,015,987,450,253,495,
347,565,626,958,559,396,410,501,695,105,269,062,117,066,027,736,243,055,005,
203,069,530,431,331,661,352,949,939,318,928,219,330,951,893,094,641,323,521,
403,876,124,494,894,517,260,679,398,988,233,943,688,380,456,713,263,681,250,
884,239,178,954,753,944,551,558,944,932,010,990,960,798,511,611,721,212,654,
354,293,209,643,939,038,105,811,517,331,134,620,516,851,822,310,180,953,094,
057,052,763,519,861,740,072,508,586,899,423,328,376,967,000,505,886,981,694,
084,547,705,652,649,229,518,687,846,728,219,408,568,127,823,664,467,602,424,
637,985,202,074,010,661,870,682,702,089,767,855,393,603,448,593,692,063,881,
942,620,645,540,881,429,617,788,344,520,114,605,349,643,619,381,513,160,972,
489,903,603,176,188,640,330,688,157,334,993,482,106,017,617,048,417,613,015,
775,589,552,948,655,659,999,230,608,417,092,878,350,912,962,135,200,276,148,
509,142,165,080,150,105,205,232,475,588,410,272,425,870,282,519,207,737,336,
896,098,050,753,245,456,870,355,249,273,500,625,023,442,128,823,529,975,306,
537,614,434,127,005,421,958,744,309,671,456,779,964,395,122,197,377,183,436,
302,570,295,150,190,166,255,110,296,751,656,119,564,131,614,574,157,166,157,
565,687,403,485,440,075,610,826,481,809,084,474,453,458,931,022,740,852,169,
240,514,547,328,631,581,883,739,975,826,503,254,839,047,444,031,956,841,716,
201,976,205,491,770,603,432,497,019,540,153,845,028,942,846,880,991,269,333,
578,995,304,175,133,211,165,550,659,157,899,956,470,406,832,934,781,127,177,
609,357,499,708,355,939,889,681,159,460,011,130,422,594,094,048,344,397,537,
822,621,528,911,141,902,353,313,508,286,811,615,337,200,305,983,935,662,353,
219,008,987,934,058,852,181,477,166,792,355,416,341,607,159,716,700,445,259,
812,563,292,837,161,873,038,433,578,153,461,184,108,172,885,414,978,286,721,
232,597,005,445,150,371,322,041,309,581,978,338,513,169,010,811,113,859,726,
529,894,613,536,906,912,766,443,386,074,014,039,021,946,011,299,806,079,817,
750,234,428,136,905,215,169,730,431,022,386,692,929,888,721,335,619,644,164,
944,086,619,339,848,926,223,586,633,769,858,749,625,230,880,140,575,388,621,
544,074,031,719,712,302,721,373,377,651,755,813,554,240,203,727,225,790,888,
929,288,563,055,514,973,505,514,082,400,224,368,486,737,271,438,619,691,667,
679,698,781,765,484,560,874,602,949,672,067,120,851,491,941,795,236,926,254,
561,060,469,334,364,741,230,259,201,905,546,091,320,544,514,011,620,189,728,
677,638,238,414,459,068,030,638,771,320,996,672,120,417,423,349,254,147,949,
441,529,503,041,330,114,318,932,706,682,262,026,558,441,107,702,859,607,823,
833,479,664,740,982,794,480,667,946,682,128,820,930,864,145,610,782,470,734,
878,081,432,384,539,459,499,131,107,767,365,929,380,360,471,198,855,611,751,
463,569,224,701,023,037,550,830,278,478,683,583,808,781,306,280,395,603,138,
895,294,449,148,935,965,321,109,094,168,230,579,408,621,935,114,029,325,433,
556,012,105,676,186,263,163,813,139,056,480,769,094,801,873,721,389,699,506,
902,460,313,201,574,967,774,563,394,413,077,201,713,562,575,721,601,763,476,
385,630,303,171,656,412,472,296,882,364,530,004,314,649,025,151,338,515,548,
472,273,943,179,931,716,909,933,214,307,223,882,195,347,443,392,886,482,939,
725,104,136,027,881,517,330,682,625,466,524,625,680,915,102,624,869,784,968,
310,705,923,098,409,249,879,484,804,280,236,667,966,295,518,030,980,853,514,
501,106,652,280,286,697,190,022,738,712,778,869,656,191,553,012,792,458,209,
905,091,003,544,918,034,649,193,495,143,643,010,224,504,556,272,491,835,924,
291,229,431,256,034,045,405,968,567,280,591,836,517,682,552,976,056,216,215,
543,930,099,566,282,820,018,237,510,073,151,468,924,994,055,026,990,848,921,
437,723,126,447,527,057,299,080,170,096,862,142,693,150,510,079,095,816,465,
416,876,440,353,504,813,718,433,875,969,220,112,767,317,219,354,431,022,563,
594,533,123,277,102,624,296,078,501,142,729,305,628,206,337,266,221,469,319,
046,791,228,030,683,544,355,986,876,211,200,159,030,001,650,460,391,612,841,
367,215,145,322,393,681,517,363,437,036,338,355,764,131,595,057,472,185,135,
741,352,201,848,361,140,179,754,685,654,154,097,955,684,652,428,358,703,533,
001,648,771,595,259,976,826,503,657,055,261,813,928,365,006,881,254,256,904,
643,508,326,084,517,772,621,515,778,952,875,618,396,019,545,791,086,477,447,
667,571,770,403,784,352,778,123,305,475,629,839,131,268,908,036,215,798,830,
473,090,826,295,390,577,993,171,392,194,679,805,271,634,255,354,436,664,449,
096,581,493,995,110,567,268,111,909,817,146,271,314,977,173,108,030,488,311,
319,499,234,785,816,689,734,534,460,347,065,047,285,695,855,460,483,905,433,
871,336,231,453,753,420,406,809,793,972,016,370,480,015,334,875,641,816,549,
996,649,572,226,165,880,712,193,466,293,288,310,219,696,428,314,464,937,656,
060,155,511,007,853,393,084,293,748,432,050,756,048,035,263,737,522,454,626,
378,589,692,692,788,008,409,414,310,060,361,697,017,547,724,796,860,608,013,
632,952,771,449,265,677,306,940,804,429,772,260,488,410,143,341,223,360,356,
162,269,258,256,769,595,281,079,974,677,716,828,665,449,755,232,733,737,483,
057,678,384,271,414,109,024,879,718,753,219,273,894,814,956,101,625,281,153,
040,478,278,014,896,955,096,482,286,132,144,047,428,743,444,206,752,919,643,
124,904,707,898,396,853,779,704,441,253,513,409,810,497,580,432,333,645,227,
023,627,884,952,517,509,179,085,640,875,380,578,176,359,386,118,754,182,418,
688,433,936,375,633,352,277,191,205,482,467,495,830,678,053,115,060,728,150,
744,397,811,272,546,820,594,883,417,959,137,316,944,200,960,794,110,824,708,
738,939,265,293,505,933,988,905,384,640,497,549,665,454,586,729,846,880,933,
921,158,163,676,147,499,269,935,701,414,040,794,224,212,849,637,036,491,697,
459,471,842,857,510,706,652,831,405,572,773,537,633,679,993,211,092,735,990,
604,944,307,807,536,940,312,941,810,093,441,017,975,615,888,916,154,730,813,
753,298,865,629,339,678,508,588,632,695,651,943,607,036,243,429,897,653,611,
750,881,928,156,716,451,508,934,168,691,893,388,271,579,761,202,514,817,154,
213,620,591,326,614,368,329,161,800,254,104,081,447,622,602,502,926,190,957,
297,531,570,544,664,701,085,978,811,013,509,230,554,856,245,802,500,373,231,
749,000,136,865,816,755,472,435,807,617,998,541,321,081,482,145,382,386,404,
025,931,055,092,149,927,885,463,580,686,182,614,179,225,488,137,979,948,719,
826,583,857,346,034,233,168,382,372,301,405,344,555,480,221,991,080,436,894,
305,720,062,158,297,892,326,318,265,111,301,877,689,162,764,205,537,382,753,
430,537,468,723,955,117,353,920,294,363,936,491,747,381,979,838,782,250,295,
180,282,673,890,675,288,853,511,577,988,012,949,868,457,275,360,813,381,258,
734,426,492,136,057,391,231,646,017,917,889,548,311,695,999,291,093,551,541,
168,955,930,620,605,287,639,297,747,534,142,049,883,138,326,056,627,446,803,
494,581,369,493,912,877,444,722,609,952,245,219,176,989,681,937,511,910,206,
045,089,363,335,522,137,714,910,470,317,158,855,736,698,550,345,988,794,402,
524,104,698,260,574,972,049,810,119,970,940,514,204,666,073,147,613,207,784,
879,164,074,176,669,216,764,503,149,363,473,140,397,548,602,498,414,022,918,
157,402,007,746,989,145,382,923,923,370,557,624,542,570,477,146,810,065,483,
347,683,536,181,697,871,891,986,714,654,872,221,565,636,289,332,124,527,782,
184,594,067,522,209,897,009,784,775,963,489,651,457,126,528,482,230,417,202,
530,279,304,848,097,982,375,534,535,996,074,289,547,692,062,823,806,297,207,
446,582,607,816,543,511,015,378,065,353,966,231,882,712,989,976,229,270,481,
951,474,060,731,594,713,300,925,194,460,401,704,294,375,797,316,145,061,267,
537,736,240,696,135,116,102,246,095,259,150,213,372,961,259,731,114,758,611,
437,464,909,064,257,672,705,245,962,150,382,259,319,336,816,513,781,645,159,
887,188,562,982,040,822,185,138,106,417,784,752,399,942,900,154,177,055,323,
700,011,009,109,356,622,631,788,186,937,866,204,621,207,164,728,207,450,407,
071,177,280,741,871,671,958,081,701,060,049,686,906,693,864,113,757,981,240,
208,358,223,847,373,240,986,870,135,258,212,323,781,859,044,682,644,144,979,
640,780,359,148,640,519,068,005,813,371,167,017,174,829,402,006,669,989,641,
063,580,601,580,610,778,957,610,436,622,859,903,042,701,980,281,033,661,861,
644,702,432,946,007,584,143,798,271,265,779,709,677,889,411,381,814,527,677,
962,974,887,468,335,283,918,801,424,649,844,869,701,374,977,787,670,915,398,
267,399,241,352,323,615,102,952,248,554,355,372,658,694,696,239,915,032,709,
276,952,784,630,847,509,243,804,965,777,224,436,797,156,396,317,952,475,161,
736,321,408,523,831,447,787,898,832,250,540,015,030,597,999,204,812,497,548,
920,141,548,156,774,835,127,400,218,002,411,784,799,489,946,184,681,012,467,
341,505,484,135,037,467,313,927,267,327,320,883,098,067,148,836,233,480,293,
161,895,903,139,519,604,851,530,733,623,684,295,187,189,875,960,176,475,047,
280,226,877,221,537,383,485,333,974,716,141,589,016,968,317,280,629,855,849,
400,657,786,244,516,347,626,914,530,986,619,378,676,135,913,386,022,369,038,
162,584,175,727,598,946,911,068,763,435,086,939,491,828,389,869,815,560,532,
070,627,283,478,507,387,137,270,154,797,446,742,028,691,428,099,217,559,843,
236,946,818,724,110,115,865,612,607,981,255,171,783,834,486,845,017,273,643,
192,569,564,371,431,828,168,976,210,920,135,421,702,914,449,742,204,307,324,
391,805,846,920,857,231,355,787,154,107,877,882,643,276,446,889,433,146,459,
281,311,218,340,996,887,370,087,206,047,202,237,304,054,426,154,780,125,658,
177,231,179,303,685,696,083,720,748,248,996,807,931,789,731,767,416,989,459,
762,914,881,257,387,618,696,719,850,136,683,579,545,090,897,650,612,766,582,
197,758,128,103,818,593,490,532,639,866,747,865,668,041,192,352,416,109,732,
008,263,024,519,068,546,663,988,748,052,703,953,812,793,000,866,130,468,337,
126,961,222,766,648,219,558,974,234,839,854,683,416,986,400,395,867,136,913,
265,220,159,599,356,222,414,309,091,830,527,509,326,555,943,254,744,036,156,
017,770,836,153,351,741,315,874,785,845,105,616,089,920,471,041,080,879,764,
019,024,359,149,509,862,411,455,172,249,703,740,500,787,765,443,630,248,903,
651,231,106,199,486,706,180,764,851,466,090,168,230,657,920,454,695,330,759,
009,421,781,061,391,695,341,732,172,920,154,338,908,854,482,152,698,907,688,
593,971,296,655,914,272,715,571,444,589,887,170,852,620,224,774,165,436,444,
259,608,551,357,286,647,362,368,549,664,088,452,713,988,113,444,896,168,643,
419,535,240,453,842,102,130,467,279,300,041,683,911,386,427,861,465,126,873,
053,243,230,386,994,579,364,315,353,493,963,126,847,128,374,541,575,538,831,
181,637,165,718,508,480,624,366,267,085,217,351,275,371,916,326,666,940,808,
537,149,645,065,160,912,891,976,437,925,272,680,832,191,854,395,527,830,828,
067,380,819,920,792,384,528,217,211,244,554,367,403,726,099,912,922,545,310,
266,344,265,175,128,485,035,735,124,273,445,251,592,701,747,628,327,000,049,
770,237,218,191,380,525,940,235,445,170,130,857,146,314,349,560,789,035,469,
179,243,904,649,495,194,652,342,544,906,997,589,649,831,569,265,217,164,086,
357,234,708,616,175,315,334,518,698,489,486,523,753,772,653,723,004,422,617,
975,234,133,425,977,514,473,653,413,352,483,052,477,462,904,090,134,814,110,
899,120,960,703,741,476,466,131,243,227,809,938,748,843,277,664,192,495,335,
383,700,847,971,700,993,718,302,783,154,766,530,885,451,162,308,074,205,852,
140,339,192,106,804,769,989,770,795,344,710,516,353,367,078,302,665,308,531,
674,219,643,338,823,510,008,071,350,042,889,268,071,425,259,887,082,551,820,
394,840,678,213,469,798,809,294,931,602,540,012,151,450,732,607,718,867,747,
743,500,485,820,997,873,367,467,657,045,124,563,666,626,341,498,409,537,714,
291,930,629,425,239,632,140,432,399,727,623,170,061,804,960,909,615,495,227,
172,792,754,500,966,613,479,273,242,548,733,879,317,336,592,174,429,644,832,
597,013,614,524,624,161,621,764,076,579,940,394,095,324,388,068,537,351,431,
910,531,084,836,611,624,129,181,520,680,690,840,119,760,918,607,595,681,100,
179,314,575,788,951,466,723,728,559,785,358,458,631,557,286,229,853,447,954,
690,543,319,831,203,283,597,192,530,560,175,506,216,899,869,661,751,445,480,
096,291,550,408,051,601,627,679,986,720,929,096,171,930,387,327,462,308,160,
269,592,205,902,831,027,312,859,754,021,761,318,779,561,268,904,089,462,406,
064,919,655,988,474,143,360,087,064,458,872,300,944,447,752,353,572,334,338,
232,972,287,356,232,958,796,910,715,657,749,646,481,503,490,971,828,246,854,
990,324,799,289,561,936,757,658,485,101,828,852,239,897,677,872,175,624,304,
172,417,109,711,996,729,164,529,865,886,898,982,636,651,824,643,992,142,865,
553,903,704,263,992,672,963,175,843,917,065,539,548,521,496,622,689,938,702,
010,874,901,262,611,946,732,685,966,052,938,449,777,582,446,243,711,828,275,
032,418,042,729,195,430,087,520,324,967,440,308,078,423,268,186,862,815,233,
197,806,389,371,576,159,991,286,117,741,081,677,865,996,814,186,102,142,636,
153,660,646,243,250,353,620,142,135,074,577,614,208,327,360,813,654,915,498,
964,700,302,004,691,648,542,070,729,745,834,599,022,221,609,457,724,362,030,
211,176,569,271,319,461,688,135,193,771,560,952,724,564,546,985,437,890,106,
764,289,963,067,784,075,709,728,597,830,769,239,376,870,101,627,332,869,447,
711,553,454,321,740,312,895,336,482,350,575,520,987,784,780,929,390,035,695,
335,535,273,798,529,258,395,582,756,689,950,418,462,088,115,853,182,015,320,
880,625,790,082,305,709,252,519,389,431,922,323,717,040,666,227,404,022,712,
702,087,805,789,417,139,218,615,057,687,342,602,701,567,182,715,417,471,612,
930,673,921,373,601,131,193,566,257,686,471,518,516,653,368,125,893,969,215,
053,827,933,661,803,584,769,153,853,489,952,611,629,885,564,168,469,032,390,
060,568,774,758,744,054,036,164,326,079,153,910,883,283,749,983,334,360,245,
918,010,516,522,933,155,055,032,483,358,697,463,668,549,038,690,006,228,385,
068,995,368,810,129,113,493,362,197,370,887,650,576,191,760,912,274,529,824,
861,944,158,435,957,829,768,021,941,142,182,679,431,349,876,264,309,062,479,
114,575,414,807,551,741,918,151,125,139,895,554,436,754,734,393,099,277,316,
664,063,092,553,127,805,834,400,596,735,785,000,627,401,440,554,779,387,515,
254,177,695,347,672,905,654,789,801,926,018,292,137,777,108,719,797,618,048,
141,338,368,071,742,569,641,360,881,565,878,349,604,497,688,685,962,532,740,
520,507,440,804,980,726,839,813,100,343,064,368,815,301,544,050,343,387,752,
606,090,771,025,516,610,652,951,009,302,838,926,142,052,230,508,496,953,033,
322,919,194,192,615,774,042,088,343,141,512,887,657,946,020,123,677,692,103,
090,354,010,353,400,084,071,686,492,204,808,991,636,608,030,701,228,420,709,
564,762,337,358,901,125,391,659,620,236,354,376,022,905,001,288,590,164,949,
673,605,294,709,174,823,028,706,801,724,464,334,555,948,865,481,070,112,096,
829,623,912,281,214,940,642,784,295,773,606,006,871,149,995,658,548,974,509,
223,685,581,487,226,130,754,034,333,741,657,788,389,475,695,847,566,261,200,
311,401,502,903,373,857,512,067,098,627,174,966,955,043,800,323,358,412,117,
188,022,338,546,873,723,499,379,628,046,401,970,693,549,303,902,785,927,987,
752,214,024,194,555,246,964,272,507,637,518,047,423,161,435,369,821,943,799,
333,845,326,919,206,785,170,701,137,977,414,000,231,881,480,638,325,756,772,
597,470,020,410,771,991,124,373,240,813,085,189,116,515,341,222,918,678,464,
146,477,623,412,503,258,536,142,519,397,743,300,012,441,642,960,641,511,953,
572,178,288,884,521,562,356,416,364,884,633,639,910,165,754,889,743,974,343,
615,943,393,717,316,747,174,750,596,390,889,906,558,342,701,781,761,473,220,
736,510,059,949,637,156,592,805,280,078,119,396,752,803,787,463,474,459,012,
989,858,662,150,890,778,829,968,625,355,639,831,338,141,399,537,001,924,466,
535,073,597,423,839,933,163,576,935,929,383,581,607,698,604,985,034,666,185,
132,831,365,311,850,500,432,083,350,637,786,460,373,669,568,329,443,431,748,
766,793,306,770,909,397,080,218,662,567,673,831,927,764,002,671,527,302,979,
368,781,180,487,251,937,450,933,819,081,273,218,051,336,768,701,553,907,319,
617,209,221,952,598,285,983,407,731,217,548,197,262,501,154,262,882,999,588,
539,893,007,419,105,614,235,420,850,538,001,525,453,925,412,203,366,128,520,
154,878,684,479,223,597,444,440,037,718,211,460,388,382,326,833,438,646,155,
707,290,592,779,685,044,693,746,871,173,918,983,516,004,346,211,479,779,612,
067,770,051,400,245,549,525,710,958,426,390,990,086,041,547,819,433,646,877,
308,301,826,334,713,901,398,758,861,149,920,727,381,840,932,227,417,870,529,
353,816,190,259,240,636,466,062,309,271,885,197,762,665,447,764,325,862,798,
892,194,680,279,167,509,051,079,635,545,925,177,802,945,548,968,142,303,751,
572,103,431,809,348,686,542,381,644,906,485,959,637,484,304,865,298,475,358,
346,039,770,349,651,551,179,464,606,251,960,447,763,261,941,483,905,598,705,
543,375,474,403,642,894,952,123,371,126,306,956,703,344,157,603,553,167,622,
508,935,499,061,417,167,253,434,089,167,344,487,442,412,327,113,291,446,551,
187,549,715,635,571,280,397,692,586,198,199,876,858,932,294,825,568,632,294,
323,521,220,266,250,517,133,963,077,324,831,822,056,217,380,954,719,347,438,
565,084,346,890,408,648,530,963,885,436,681,086,432,284,398,582,850,022,736,
341,421,868,630,693,219,752,630,533,653,445,588,287,308,064,952,154,913,818,
881,732,956,644,585,695,683,380,855,069,952,885,750,223,799,959,331,949,164,
335,115,489,381,161,591,343,048,686,146,723,752,371,132,170,361,785,123,329,
551,122,690,378,849,654,781,427,846,543,898,534,278,763,449,452,767,003,821,
007,356,929,352,759,163,602,819,369,862,051,782,060,716,637,510,440,772,913,
832,757,767,118,488,393,234,786,164,633,462,972,848,121,919,497,678,035,559,
582,768,099,484,806,160,054,347,340,719,614,175,242,194,411,635,906,042,319,
596,634,742,631,470,408,354,854,755,532,378,984,471,881,878,787,936,768,163,
764,284,418,835,577,310,019,767,866,044,825,571,124,086,208,756,347,727,308,
964,273,843,012,280,316,158,554,734,881,096,752,983,217,532,060,520,979,540,
937,636,848,357,569,634,945,591,752,250,537,909,540,934,823,325,745,433,830,
146,229,182,834,810,861,745,020,590,850,389,220,469,993,636,837,597,897,397,
529,786,301,969,205,083,692,627,806,503,256,519,182,999,871,373,140,429,585,
484,884,559,883,247,740,205,506,690,346,522,178,576,801,171,466,441,946,930,
915,590,359,307,675,159,771,745,286,999,472,265,791,208,942,683,943,477,462,
264,666,961,292,536,886,135,458,313,498,072,209,727,427,426,423,197,030,737,
022,920,962,900,615,497,031,419,736,498,417,135,727,304,468,051,107,127,150,
168,062,172,827,335,598,294,652,489,897,382,464,529,347,378,685,571,871,238,
761,121,867,641,659,823,310,326,375,473,124,157,545,177,057,391,389,082,853,
451,071,148,998,192,223,669,540,065,378,786,918,634,859,760,016,066,719,304,
830,525,821,337,997,404,736,026,912,892,025,909,690,731,234,782,910,361,904,
491,502,146,490,099,830,263,536,820,664,452,536,651,441,052,035,911,616,780,
808,335,677,984,753,313,792,209,482,902,549,496,665,815,409,428,795,518,336,
056,421,988,840,963,500,258,565,236,980,811,805,731,916,682,226,813,254,757,
369,599,432,488,026,705,253,301,393,895,348,108,306,537,849,668,556,582,251,
262,438,215,618,282,623,730,021,161,519,896,529,362,269,591,624,686,658,799,
404,885,373,588,983,103,353,426,552,245,259,716,942,978,169,976,999,137,811,
751,886,406,882,139,604,071,363,694,909,229,986,402,824,934,984,151,719,694,
279,773,070,644,162,885,714,188,962,719,157,376,895,203,585,812,884,904,185,
834,901,979,531,527,691,222,505,765,307,348,553,805,239,395,543,390,134,697,
699,639,603,886,495,584,267,460,020,640,151,263,679,743,620,609,341,565,749,
352,087,882,897,483,281,185,579,994,419,247,838,732,532,022,297,792,186,142,
369,170,364,895,419,737,030,672,615,521,527,196,591,542,641,334,135,466,484,
520,410,303,252,603,595,587,516,145,121,642,171,037,670,019,101,178,354,058,
375,173,792,101,110,214,442,015,970,147,161,025,902,692,483,502,358,606,457,
449,372,585,801,553,806,702,837,406,193,349,730,126,358,206,311,132,565,861,
616,674,402,275,529,143,421,212,241,480,465,206,521,457,401,660,508,622,831,
673,556,614,325,887,156,319,368,454,719,422,604,998,327,298,928,485,666,765,
119,798,717,630,744,643,590,745,513,853,865,613,578,727,526,684,930,062,553,
916,352,412,208,717,726,623,590,538,352,073,915,007,022,033,631,841,329,150,
902,591,687,013,025,177,209,131,787,062,481,469,400,807,162,751,392,069,103,
719,856,208,420,202,710,918,215,861,083,052,664,495,256,915,179,138,339,377,
565,097,191,497,383,663,168,019,528,706,337,311,051,784,720,798,752,441,575,
077,722,703,932,016,401,295,476,237,832,966,231,083,256,488,579,202,698,333,
724,048,581,342,160,660,448,663,114,688,184,263,458,195,717,679,198,889,747,
627,852,776,179,109,980,348,739,268,613,690,311,506,914,899,948,072,408,240,
550,313,579,073,298,850,123,206,273,676,313,058,831,657,561,014,966,306,413,
351,236,097,380,097,094,599,661,483,967,869,348,879,536,157,658,605,745,414,
353,571,480,135,764,193,750,926,485,536,266,434,290,161,562,655,936,653,853,
975,370,978,274,148,113,008,194,127,716,563,445,545,757,707,114,435,748,780,
906,447,583,741,893,119,131,792,220,548,930,242,296,908,348,803,068,929,984,
498,943,693,734,503,431,963,141,124,920,668,275,309,664,328,707,702,073,023,
540,930,539,753,432,954,468,789,050,602,255,327,391,602,466,363,893,305,104,
752,103,753,626,127,358,012,770,971,916,784,765,780,286,774,077,790,991,677,
784,014,592,833,569,398,697,518,053,353,545,394,957,002,140,124,616,115,392,
244,844,832,703,843,217,727,323,359,296,376,563,689,785,432,546,363,883,980,
972,968,626,773,465,514,109,851,092,783,825,414,459,286,557,929,591,651,814,
556,357,067,576,839,808,943,371,407,488,207,549,233,031,454,448,300,946,236,
658,684,927,353,911,692,303,240,443,444,557,774,932,664,833,679,705,803,525,
383,553,250,741,487,782,211,390,977,382,125,368,310,426,577,300,198,827,186,
372,526,513,133,393,522,257,286,629,926,231,241,486,552,778,722,285,838,030,
896,243,649,313,653,472,825,519,748,767,195,204,895,591,929,728,667,601,879,
344,197,273,652,044,368,860,792,833,889,307,804,312,724,141,091,762,386,892,
418,766,096,977,806,455,599,629,249,508,060,683,838,911,676,599,714,959,514,
991,915,300,135,028,140,456,338,256,867,078,208,848,044,952,291,160,707,056,
203,865,976,193,458,917,615,070,348,066,702,071,492,111,568,999,538,809,265,
732,658,943,130,185,681,479,184,177,495,833,875,453,821,184,308,587,330,121,
750,036,079,306,565,177,774,196,173,919,897,949,939,533,658,054,719,700,839,
508,542,940,487,512,995,255,951,918,614,172,877,203,759,228,299,852,127,764,
369,830,510,007,790,812,956,279,744,304,181,024,106,512,838,898,053,816,605,
988,797,087,160,108,866,211,974,083,216,415,834,767,152,489,242,380,949,841,
090,309,800,012,865,206,819,577,402,442,753,616,208,862,845,028,413,873,017,
639,529,014,775,007,301,998,393,923,601,484,865,702,396,887,319,433,976,926,
321,367,726,090,580,030,104,884,302,603,535,786,727,734,593,862,240,139,763,
545,350,568,042,379,628,860,020,621,170,176,513,258,328,613,208,486,890,085,
317,135,876,536,798,244,107,606,331,788,658,784,143,379,428,973,841,732,885,
317,728,887,422,840,937,864,215,348,432,189,619,025,530,336,425,173,516,767,
376,688,655,544,891,524,860,098,408,587,571,681,684,758,555,896,574,540,697,
059,039,568,774,845,487,277,365,307,963,851,941,705,395,578,549,818,948,003,
735,027,382,185,940,890,968,502,386,523,889,189,836,817,644,952,424,528,986,
855,201,541,140,123,588,435,643,449,910,881,286,025,361,693,794,471,125,412,
480,591,409,354,716,827,699,219,897,123,784,597,138,699,609,258,131,409,155,
046,645,880,634,616,914,145,279,527,220,135,279,588,871,632,393,271,795,446,
275,557,470,856,592,832,450,830,982,030,869,930,643,059,499,286,451,149,862,
197,168,823,264,079,677,508,287,453,205,447,202,523,727,020,723,122,039,132,
713,196,848,667,580,844,174,608,523,954,233,711,203,120,431,585,777,177,531,
687,592,715,558,059,090,536,754,211,203,343,277,496,244,725,277,672,402,211,
237,682,451,224,759,685,011,928,195,315,587,647,594,126,914,785,339,595,789,
840,557,492,749,606,889,284,524,668,860,700,306,556,511,461,790,332,622,062,
320,690,377,019,990,272,318,185,463,091,274,013,700,216,492,636,869,111,822,
236,983,895,023,296,828,536,922,798,734,990,548,356,209,999,977,986,091,861,
654,492,009,025,652,524,824,689,941,802,495,403,469,535,447,437,651,899,460,
955,029,714,972,869,092,289,889,738,158,509,868,609,856,375,458,892,534,145,
540,982,467,190,170,506,821,759,714,923,912,392,042,904,062,787,133,661,730,
792,191,589,847,114,597,140,217,437,004,548,079,164,238,829,646,579,576,270,
163,966,850,859,605,204,256,391,513,394,967,211,213,482,314,662,908,374,687,
684,507,560,742,191,387,737,138,266,429,599,540,743,920,219,258,553,049,514,
610,083,238,233,716,527,481,231,381,713,183,390,622,097,914,561,352,733,579,
102,035,848,096,968,519,651,362,548,236,649,642,805,336,684,214,232,520,853,
759,715,383,996,693,071,337,978,074,339,832,381,212,433,967,906,169,729,809,
212,571,109,874,632,829,261,339,350,632,444,921,685,252,022,428,636,389,916,
164,800,194,161,168,816,561,438,192,233,047,429,304,993,177,442,974,110,402,
197,552,290,020,578,890,005,486,733,672,324,897,322,762,718,586,884,298,365,
577,335,356,551,553,988,501,860,944,289,040,341,949,307,897,109,871,844,173,
564,455,722,631,590,972,786,506,938,011,019,823,464,926,916,625,486,978,890,
708,690,133,732,260,083,242,207,539,993,836,363,275,385,620,028,411,780,876,
486,185,777,126,140,316,552,959,269,328,262,014,929,910,157,022,515,860,610,
916,582,798,485,094,211,938,696,854,988,446,470,451,008,218,600,635,754,641,
927,279,578,605,515,899,580,486,911,108,794,210,223,478,144,459,203,803,973,
069,385,753,690,409,174,269,024,885,053,110,962,006,202,979,968,585,651,538,
036,391,278,576,067,700,740,925,543,590,998,348,587,452,205,346,021,471,956,
645,272,012,210,066,301,221,699,394,667,953,673,124,505,923,897,178,954,286,
630,955,152,608,549,851,298,773,810,488,417,166,709,479,658,365,689,802,955,
913,798,139,602,557,243,428,253,446,252,501,074,822,082,302,342,069,141,078,
538,033,811,351,810,597,257,363,795,773,392,997,889,055,666,346,548,875,392,
177,855,761,592,297,386,048,032,368,486,537,530,456,076,900,529,434,094,012,
901,958,461,350,781,967,059,500,138,770,091,437,701,241,930,182,109,046,276,
291,932,254,733,432,810,906,613,807,251,744,855,926,786,540,221,118,047,218,
334,878,378,916,746,618,682,049,615,665,864,332,050,422,721,362,442,517,278,
709,503,814,245,015,212,902,324,604,566,846,155,433,140,743,901,373,378,445,
315,554,168,530,438,440,933,046,791,973,701,818,806,267,958,879,763,857,429,
488,417,392,249,190,403,779,970,592,934,018,343,783,219,924,000,789,793,295,
852,738,597,290,332,708,993,542,366,537,676,602,315,022,023,592,563,290,228,
794,663,459,831,637,008,130,551,129,939,322,623,190,004,292,134,433,684,663,
545,498,629,261,116,077,744,268,723,780,027,851,494,548,603,946,180,019,981,
479,614,521,826,581,765,743,647,354,824,254,634,216,318,410,292,442,732,530,
827,140,125,236,986,191,489,801,003,398,149,275,099,301,541,893,902,843,976,
596,847,653,762,797,437,458,984,050,075,739,864,234,849,394,364,828,613,784,
503,934,490,299,672,407,182,251,357,421,084,677,800,922,805,130,256,079,356,
082,775,414,383,306,433,439,252,018,964,466,952,707,764,770,033,201,807,062,
274,243,613,982,604,510,566,750,787,020,587,589,956,919,666,424,359,860,973,
844,943,347,249,497,478,299,214,349,784,473,525,565,569,584,361,881,268,278,
309,575,653,589,290,498,397,752,535,410,760,001,711,285,952,564,243,811,186,
173,261,027,696,414,164,068,142,664,299,502,237,641,313,878,647,151,307,004,
185,730,038,408,691,576,003,097,064,533,458,811,112,473,852,993,265,578,766,
989,588,488,492,609,890,985,977,118,484,776,626,236,260,503,388,499,501,568,
622,293,130,240,258,687,781,537,243,602,281,410,894,687,807,273,043,499,929,
280,901,943,902,115,326,615,757,669,577,548,213,414,443,250,065,849,691,597,
522,793,174,095,266,137,950,610,214,480,219,919,835,671,091,449,604,303,883,
028,010,852,006,459,336,639,162,883,994,428,832,835,123,268,658,133,060,278,
750,650,900,653,707,819,992,854,019,642,574,265,292,662,477,615,882,326,495,
823,674,486,156,318,480,524,978,505,209,782,043,509,256,161,564,038,691,344,
534,946,465,083,650,363,602,815,768,578,057,308,371,408,168,236,462,024,051,
576,308,155,013,600,650,468,337,307,329,593,417,671,634,059,425,885,675,258,
763,114,545,912,611,743,557,362,346,505,706,864,057,331,767,209,902,257,342,
018,662,686,811,356,269,546,688,388,322,071,517,712,467,366,567,995,000,617,
755,392,482,313,255,194,184,239,029,115,708,728,129,107,947,507,491,403,036,
577,001,110,497,502,947,989,395,332,608,833,242,332,105,300,174,157,469,796,
495,157,451,399,703,949,222,552,862,117,670,980,402,962,715,257,022,949,363,
809,502,690,582,508,145,928,271,136,791,347,456,788,928,193,547,832,790,209,
805,397,858,443,436,977,625,024,360,790,870,268,040,722,110,319,324,596,522,
679,435,646,988,061,584,641,688,872,423,759,474,262,686,920,750,828,536,898,
274,324,140,552,845,286,434,386,828,145,497,231,144,150,839,114,347,981,367,
063,286,229,549,993,609,333,747,294,651,719,257,337,623,568,095,622,657,771,
597,746,974,565,296,798,718,574,535,655,660,766,429,205,259,779,766,782,814,
489,663,114,728,775,951,393,110,569,423,599,749,668,548,475,982,989,663,778,
673,756,574,580,333,420,040,739,920,845,379,978,507,167,458,088,169,572,190,
592,535,807,799,327,637,861,076,969,781,000,927,290,078,410,757,869,615,160,
451,133,811,311,234,257,451,990,956,850,761,294,895,554,032,287,261,062,438,
301,495,087,552,819,512,470,423,341,900,852,934,143,951,837,824,502,077,105,
206,778,429,974,771,764,719,043,771,461,857,864,709,069,420,247,058,893,499,
906,392,244,728,017,912,020,265,408,381,829,593,203,783,701,224,538,889,251,
755,936,611,919,166,736,701,553,097,127,859,530,282,950,156,280,744,587,301,
911,986,360,026,273,192,690,427,974,987,085,652,904,656,446,785,490,304,713,
776,945,564,700,603,539,094,726,754,570,540,946,907,461,913,588,626,537,731,
320,045,755,910,165,383,044,795,177,745,778,284,778,399,944,412,406,947,274,
315,409,609,716,886,869,843,351,473,152,376,240,603,223,994,653,277,923,675,
101,166,364,950,517,727,330,081,293,697,076,552,927,815,704,896,871,741,706,
705,507,660,429,620,099,759,514,770,032,732,935,374,509,548,137,461,034,185,
562,317,363,975,146,326,626,482,033,719,056,789,676,833,252,450,915,053,229,
631,091,969,065,079,497,894,278,647,250,859,010,027,021,879,734,540,146,731,
694,674,388,287,634,851,565,052,605,003,234,205,343,084,968,231,317,333,124,
813,402,901,709,308,542,354,623,896,362,192,993,916,400,876,313,378,969,747,
311,743,673,555,184,131,396,363,168,012,125,502,233,812,246,961,024,469,173,
896,485,068,431,885,985,453,713,337,383,154,227,732,098,197,920,745,342,301,
897,828,724,951,563,416,418,902,157,318,022,556,145,301,986,908,451,632,046,
500,911,766,005,852,544,222,811,315,575,532,055,550,815,548,991,236,486,776,
593,810,905,067,728,511,506,221,276,045,407,077,431,147,199,722,114,804,833,
644,901,536,908,381,793,435,826,405,691,968,623,276,324,714,848,870,907,426,
536,347,850,723,213,258,290,932,955,592,570,261,821,511,647,191,926,719,389,
898,864,568,110,097,883,678,862,081,444,034,734,210,767,441,369,591,997,329,
363,235,758,322,128,671,999,087,561,594,657,571,047,484,387,753,808,602,036,
950,102,252,975,415,402,383,681,182,059,793,789,505,327,811,552,084,015,584,
499,726,886,662,928,242,083,658,057,867,558,023,642,098,135,122,473,119,082,
154,538,976,816,560,749,807,469,622,997,052,289,880,084,492,931,897,189,550,
701,601,721,939,968,568,093,346,483,994,800,343,684,382,914,863,883,729,249,
901,975,992,970,818,314,880,635,316,877,407,935,758,520,032,897,919,359,004,
714,301,609,413,157,317,071,344,253,738,000,995,981,590,691,740,755,068,732,
112,739,864,149,951,581,891,930,820,122,839,813,701,105,490,476,693,176,817,
513,986,608,831,396,421,760,629,602,298,120,879,609,015,139,010,157,024,635,
725,133,375,300,709,225,553,999,862,147,178,292,191,704,400,486,075,851,655,
157,962,724,696,792,931,177,225,550,132,207,138,240,295,035,361,505,937,718,
140,986,716,864,655,523,607,928,487,622,207,131,012,397,846,953,901,483,032,
855,108,812,862,364,108,196,918,055,013,758,655,340,901,750,495,548,023,209,
612,988,374,495,619,212,329,221,485,600,609,914,800,492,491,640,599,026,443,
223,088,896,245,759,111,109,511,859,341,174,433,065,972,186,747,005,154,703,
978,924,387,385,459,362,467,503,641,383,076,427,820,208,036,014,956,144,910,
736,010,373,240,620,311,237,644,458,703,810,677,589,789,369,027,818,266,693,
857,313,680,073,699,731,234,931,955,512,953,219,947,926,805,900,339,689,751,
483,604,486,030,015,745,184,678,137,988,354,148,194,386,642,878,555,027,441,
880,652,222,402,912,391,814,635,235,671,162,053,093,023,793,400,209,134,093,
596,827,198,389,745,541,712,383,295,708,371,003,382,417,737,648,829,774,915,
339,295,194,964,882,876,874,133,004,327,663,440,908,722,946,695,132,331,168,
729,841,288,496,727,433,582,646,037,501,277,600,726,811,521,731,412,948,506,
030,284,169,915,919,030,860,142,925,443,658,764,991,437,563,850,419,412,212,
184,348,539,181,867,815,489,279,045,541,141,252,058,840,195,553,305,101,775,
464,002,203,531,074,383,490,665,141,689,029,211,847,214,065,108,927,932,961,
398,240,514,279,572,865,598,188,258,815,875,388,414,446,077,841,115,230,008,
770,974,648,356,186,309,632,043,033,787,848,997,930,480,799,245,732,635,041,
444,194,215,032,656,439,627,387,403,594,166,984,163,659,978,188,584,596,883,
129,902,676,464,071,957,977,161,017,723,426,079,897,368,275,784,949,934,538,
794,478,527,807,672,332,946,485,628,642,464,759,406,303,105,538,761,031,916,
729,502,186,979,554,645,814,502,325,120,348,662,063,206,752,601,317,081,898,
203,242,369,340,872,487,778,370,953,935,184,507,380,112,192,549,287,274,127,
880,454,186,197,221,929,760,161,741,258,994,406,264,741,500,517,411,456,760,
223,504,778,179,102,256,492,407,669,406,121,823,960,403,033,347,943,004,307,
082,922,332,287,297,995,345,734,111,223,754,694,110,169,811,234,497,685,661,
859,272,919,633,533,019,071,496,957,356,383,315,000,383,647,453,352,009,075,
639,421,026,250,281,897,216,886,675,607,171,125,474,451,120,980,421,620,977,
309,912,510,905,693,461,094,744,229,665,019,312,885,423,853,608,962,507,448,
647,288,766,657,666,382,527,372,215,081,196,561,820,814,582,286,124,249,862,
996,881,735,178,259,562,646,614,090,878,158,998,203,997,326,865,413,388,294,
739,825,776,863,611,256,461,263,600,002,977,333,896,764,736,806,512,013,359,
408,912,340,308,926,372,578,647,327,886,142,369,133,686,594,764,852,201,101,
881,850,006,654,784,704,043,680,403,060,095,205,941,261,548,156,704,438,412,
329,593,650,186,082,315,917,135,155,460,065,645,383,366,723,039,466,042,555,
727,341,366,018,434,266,547,974,300,628,398,188,382,965,983,039,968,820,883,
015,328,525,531,709,241,297,948,404,077,039,910,170,300,246,652,689,715,478,
666,081,562,536,514,782,869,299,319,420,098,075,025,754,687,903,355,119,557,
952,620,046,886,370,117,745,735,961,920,379,720,030,032,222,652,949,570,506,
794,499,496,626,754,500,083,011,072,202,422,040,610,473,763,323,017,948,731,
046,747,288,798,041,845,635,923,655,258,264,531,396,882,520,861,260,855,863,
268,639,821,432,508,086,767,241,110,048,604,895,900,596,877,536,574,313,336,
907,675,237,685,063,967,865,428,133,587,867,202,269,727,629,587,026,875,525,
746,392,102,795,487,100,317,179,880,191,645,409,842,425,130,570,118,165,829,
739,224,365,308,141,303,360,892,663,900,286,750,321,986,392,621,511,453,459,
264,058,521,920,910,783,623,288,443,915,850,470,053,864,668,297,576,830,624,
015,075,542,908,789,434,181,771,268,420,778,577,210,725,488,955,572,105,585,
508,688,321,883,712,027,828,631,597,085,833,134,889,318,076,975,876,737,706,
457,376,219,218,454,492,359,954,387,977,267,054,710,067,805,812,691,644,769,
524,074,905,766,727,885,777,791,426,892,335,434,419,937,052,177,787,017,226,
437,760,650,876,991,407,639,124,741,106,783,854,274,548,600,343,109,976,928,
567,259,172,420,769,564,351,620,767,178,398,615,603,814,779,849,392,766,932,
048,838,832,171,711,472,540,784,304,468,392,807,109,897,706,712,318,357,945,
012,126,136,367,871,714,138,774,827,186,434,293,537,216,698,834,288,326,174,
600,887,381,036,855,789,914,930,370,255,147,316,191,597,900,207,414,487,882,
621,377,124,727,167,708,787,465,246,251,636,494,691,547,478,492,566,702,963,
506,936,930,430,098,404,103,994,766,711,241,604,446,980,198,841,165,347,631,
635,783,218,272,663,082,296,980,297,125,424,712,713,746,593,437,074,322,922,
626,075,424,240,527,722,323,086,543,394,423,317,141,917,484,859,800,155,157,
883,553,777,867,978,292,632,409,562,061,404,026,012,387,456,599,119,099,934,
467,853,461,334,144,646,362,835,930,915,987,568,592,160,134,969,291,059,281,
337,089,422,985,935,725,708,144,622,921,505,898,404,805,347,079,052,239,870,
613,616,739,805,561,520,111,406,419,478,407,431,132,426,984,199,720,553,461,
017,351,029,193,874,394,607,601,360,326,262,929,858,135,119,699,291,505,791,
087,390,034,600,916,736,581,855,437,539,955,226,663,312,280,822,948,797,414,
916,080,432,378,091,287,505,877,748,065,304,021,982,797,375,667,751,984,907,
168,148,408,850,860,919,947,239,623,946,289,819,524,965,143,867,610,385,828,
629,768,880,262,162,517,850,853,853,695,488,733,984,050,659,967,711,655,430,
505,632,948,689,752,488,290,034,550,625,481,083,059,671,823,331,871,817,832,
211,571,085,575,918,092,844,250,755,779,404,948,789,727,239,977,830,102,715,
092,236,891,143,175,064,499,646,587,346,782,485,903,212,085,782,277,890,190,
456,706,820,095,670,743,361,458,870,029,430,095,519,698,578,674,742,970,231,
375,449,751,832,402,972,602,191,399,076,195,107,183,011,576,659,210,075,441,
776,462,424,690,895,759,964,699,986,351,806,375,861,076,720,607,124,838,243,
328,075,168,008,640,263,705,615,726,767,219,710,219,876,368,118,492,010,907,
980,137,956,159,908,496,510,508,756,488,053,876,823,146,545,788,469,369,788,
009,546,007,777,811,075,119,338,761,686,583,024,209,422,834,779,079,557,939,
043,461,527,208,520,419,778,062,508,853,867,247,550,800,074,126,536,639,324,
415,416,602,087,984,680,377,607,735,973,849,869,121,750,077,335,929,361,579,
793,337,165,562,518,031,081,587,324,795,688,751,511,884,329,071,855,843,832,
790,780,474,529,806,061,318,491,726,656,983,219,497,390,666,266,234,481,447,
257,323,492,359,716,426,058,226,444,711,135,643,218,217,596,229,426,969,220,
515,637,983,674,867,097,541,918,743,913,596,480,425,317,920,880,546,188,640,
106,050,307,747,245,448,394,111,759,266,111,949,437,847,896,516,482,393,418,
405,541,126,688,822,619,943,174,570,788,672,357,235,228,091,955,002,100,958,
565,263,897,032,740,531,738,183,352,989,311,276,695,504,656,531,223,501,734,
628,679,411,308,552,805,389,476,581,159,655,221,503,053,247,723,076,774,818,
267,282,696,400,822,971,320,529,097,768,759,964,792,853,284,809,183,050,087,
859,987,084,374,468,478,285,438,965,145,206,489,626,219,650,500,856,972,654,
411,078,352,689,244,594,866,388,256,246,794,915,368,483,462,745,625,232,539,
914,582,652,901,970,882,948,387,735,355,031,110,597,204,113,399,501,981,410,
263,442,652,316,821,960,078,874,734,061,349,313,909,113,162,864,108,816,413,
577,182,799,093,010,568,413,204,954,017,340,548,351,243,283,955,757,013,622,
432,983,054,166,184,085,703,079,251,008,336,048,721,903,211,122,666,929,976,
095,465,793,856,054,507,250,914,669,361,659,710,697,081,999,755,242,375,689,
704,724,904,215,209,946,825,108,370,704,914,903,096,801,008,916,583,646,333,
722,091,177,805,695,522,959,293,773,201,112,374,321,124,608,887,770,305,893,
798,584,112,010,759,306,133,715,463,931,377,155,883,954,852,163,100,481,097,
822,093,998,127,132,005,146,893,389,557,143,503,632,806,823,957,564,333,662,
092,280,544,752,676,191,560,134,078,730,472,370,053,613,346,524,899,430,857,
256,969,334,808,462,858,814,308,141,551,402,092,206,724,562,196,345,069,193,
395,490,546,604,600,650,608,089,232,815,209,977,377,360,324,274,895,686,435,
880,559,563,073,926,147,250,050,868,147,986,885,611,392,797,569,998,487,632,
743,083,472,010,463,140,309,119,061,650,607,750,228,788,854,440,485,145,364,
726,167,565,568,651,462,168,171,660,487,138,724,825,935,151,380,997,685,470,
981,133,001,106,994,779,805,383,818,241,094,342,142,754,672,824,004,669,994,
711,521,696,427,100,282,550,990,089,645,548,132,235,726,961,950,479,319,032,
983,101,051,667,742,115,305,275,618,739,256,914,414,369,616,456,770,418,416,
291,250,617,241,148,810,658,633,790,890,809,169,511,019,882,853,643,858,486,
380,537,287,099,769,004,548,478,392,362,198,525,764,140,439,620,079,259,081,
315,334,002,023,672,842,794,264,143,760,326,627,879,596,582,248,845,841,897,
360,587,829,492,968,821,807,219,676,220,672,510,174,692,856,920,521,910,631,
247,949,947,372,297,125,756,318,803,722,054,390,444,811,399,149,693,164,917,
050,858,533,780,266,698,406,603,458,235,764,860,718,312,915,104,733,011,655,
176,728,696,168,007,585,325,622,905,228,622,131,716,738,604,927,319,644,135,
382,583,565,968,475,115,208,580,292,066,320,162,411,913,723,739,604,391,265,
607,730,222,946,432,790,466,050,212,301,294,076,186,787,190,733,118,353,263,
526,243,962,111,666,713,116,569,572,703,394,571,332,035,832,748,765,283,233,
399,856,184,350,051,289,158,110,124,531,293,317,664,936,260,178,724,839,149,
221,512,594,695,727,531,434,866,082,848,287,992,440,087,555,328,279,330,200,
645,221,166,202,089,543,036,014,029,491,268,508,111,639,706,392,954,710,949,
804,105,022,132,014,269,388,257,999,464,539,955,645,925,188,729,473,560,282,
116,515,355,990,335,967,455,276,658,480,835,507,636,193,087,913,202,271,550,
869,226,592,336,735,766,915,056,694,036,584,220,140,971,231,453,886,011,851,
787,919,392,088,379,841,986,960,981,973,802,526,586,767,984,273,397,017,972,
756,390,223,234,185,870,704,692,604,294,934,782,357,700,159,102,175,386,579,
839,175,687,334,503,915,910,001,370,942,069,522,517,376,598,208,912,316,219,
485,998,776,309,520,600,891,285,228,320,689,353,712,671,800,757,077,092,172,
127,299,614,932,897,905,390,101,004,224,654,457,137,007,472,061,119,967,708,
118,641,504,542,281,012,583,429,533,071,824,744,135,520,757,012,560,266,662,
336,575,937,318,272,152,768,249,099,402,436,799,599,975,425,495,409,958,295,
673,305,682,149,796,534,070,958,810,529,720,740,733,814,507,255,548,467,798,
724,172,106,301,921,293,505,088,390,494,947,093,915,867,826,421,470,515,144,
068,599,844,618,675,449,136,786,081,969,262,763,740,054,171,923,849,246,235,
483,958,256,157,339,033,161,813,333,099,552,898,230,881,420,619,471,109,666,
668,235,531,715,842,334,658,064,696,981,167,018,273,645,731,109,580,438,420,
451,092,979,877,736,069,833,590,922,469,189,992,352,708,809,467,600,986,350,
555,536,933,084,959,276,525,510,755,144,834,665,189,468,263,691,101,736,836,
286,650,381,220,751,502,572,863,713,027,552,930,252,924,830,888,810,258,035,
117,977,274,439,791,070,131,125,616,448,047,519,126,620,871,296,830,882,298,
067,045,992,836,743,303,302,393,228,621,201,397,305,221,018,323,179,202,474,
528,805,198,539,379,839,777,643,173,404,412,940,470,503,998,549,931,329,598,
646,775,585,885,113,371,818,126,576,565,853,114,489,946,914,300,271,833,980,
793,714,606,867,625,782,474,277,026,167,924,107,206,443,148,045,715,801,625,
301,189,496,830,258,529,062,718,037,830,324,889,810,085,665,429,132,489,118,
568,373,643,805,334,614,698,143,835,973,331,465,723,386,635,579,971,719,826,
594,851,198,181,650,960,127,590,075,605,662,785,355,745,863,029,590,962,739,
426,497,076,195,452,590,904,986,194,625,267,501,733,371,146,497,695,883,170,
905,143,311,815,727,801,650,295,327,268,790,306,683,427,806,255,261,866,005,
799,567,604,440,428,297,536,449,483,995,438,052,909,673,785,453,772,331,593,
017,581,119,265,998,155,004,966,560,495,829,950,433,736,460,381,421,365,323,
753,417,716,596,024,910,860,453,556,405,134,013,519,777,806,968,809,421,253,
532,016,796,661,708,273,451,511,607,011,582,967,693,702,404,737,651,470,221,
325,783,458,093,218,493,097,123,842,868,194,561,067,124,201,133,414,375,861,
289,729,975,795,955,899,216,577,267,559,882,193,859,975,840,089,630,056,416,
815,234,012,488,498,494,187,557,681,177,136,392,204,614,464,381,432,181,769,
610,402,247,769,840,105,102,862,537,599,677,104,763,522,505,277,219,263,437,
635,614,791,822,546,957,782,773,008,365,008,741,944,662,317,612,950,347,777,
033,721,601,655,624,575,059,890,293,186,248,285,506,751,089,024,942,583,390,
422,163,471,741,672,625,149,256,213,042,553,824,633,564,978,570,913,022,442,
351,970,110,125,998,047,269,223,103,985,536,380,038,199,383,374,937,452,622,
183,317,427,012,827,664,362,402,244,321,966,071,645,120,366,799,088,147,275,
076,033,646,944,316,667,764,207,101,569,573,386,557,550,964,127,755,052,055,
833,504,886,925,656,744,581,729,661,191,133,892,407,726,671,763,675,979,805,
882,289,666,744,743,533,854,704,673,783,519,882,037,425,073,806,827,294,301,
238,489,458,855,836,583,300,610,253,444,856,269,468,548,926,208,430,992,720,
750,103,199,198,423,702,608,905,697,718,792,484,350,652,815,674,357,221,649,
633,001,496,405,718,760,527,274,623,271,790,275,441,242,947,041,884,223,017,
807,029,788,569,008,388,862,129,685,185,958,618,652,344,754,286,589,575,518,
070,757,735,855,061,512,624,245,514,532,100,249,913,036,248,788,627,059,030,
452,128,211,718,946,431,233,832,701,417,522,411,353,581,703,978,564,654,112,
753,011,953,425,995,700,482,938,478,612,524,486,827,351,879,979,190,112,090,
980,638,583,948,991,676,300,439,495,254,209,164,311,071,788,870,183,511,679,
060,250,944,564,508,007,663,487,949,196,585,472,016,693,539,878,380,889,127,
909,881,304,692,710,017,598,174,877,806,361,385,853,620,054,318,527,668,576,
794,200,289,500,855,065,711,653,059,381,123,832,362,522,259,663,319,998,649,
302,234,645,699,441,130,244,420,969,674,851,897,788,688,847,458,393,953,495,
565,370,233,674,019,942,889,575,251,731,914,201,338,100,350,469,037,859,889,
517,264,056,466,889,682,717,061,777,104,463,052,825,805,889,466,881,093,433,
464,459,965,124,622,798,098,783,521,276,876,943,923,529,902,419,620,472,582,
741,463,333,475,955,616,995,731,346,115,674,155,843,099,845,003,303,430,472,
278,117,563,680,904,307,757,606,006,666,929,349,468,167,948,803,878,397,449,
589,070,978,580,907,973,674,538,659,536,117,178,684,014,116,836,104,335,524,
423,593,309,901,756,417,238,947,968,814,090,806,464,538,966,084,545,351,278,
799,068,426,943,342,875,750,156,957,404,637,360,827,398,705,384,038,611,432,
926,811,822,661,768,919,098,480,348,179,793,828,372,718,296,130,406,042,290,
921,061,497,873,715,712,626,875,840,462,855,738,779,102,031,289,376,897,348,
572,670,406,703,588,665,320,698,871,348,391,641,816,706,946,973,152,321,366,
532,712,297,877,220,748,144,674,334,138,166,644,137,224,059,136,902,680,859,
166,446,022,427,276,018,886,159,419,445,266,246,441,236,830,072,088,392,435,
544,606,475,922,598,845,697,512,048,354,720,809,470,095,253,888,163,228,074,
660,014,263,770,984,147,039,277,364,716,065,952,358,267,385,133,521,204,085,
172,165,985,131,635,862,566,753,346,093,423,635,874,939,997,587,948,926,250,
836,799,315,769,084,704,568,482,393,632,374,190,782,159,593,968,429,152,122,
848,951,757,638,083,754,804,042,800,039,689,606,061,456,241,766,732,865,547,
439,312,784,706,272,686,065,032,746,529,606,313,407,976,343,531,593,205,247,
935,749,964,064,793,402,073,503,388,775,392,032,577,041,942,104,895,630,707,
726,135,749,445,870,161,872,654,604,273,554,817,122,067,643,005,595,965,513,
451,586,416,588,020,459,726,064,572,341,662,676,412,590,321,012,520,891,734,
937,773,742,614,639,456,550,795,348,503,082,205,635,257,450,578,318,197,254,
414,738,399,511,817,107,948,534,318,903,249,234,956,548,915,231,530,653,224,
379,510,451,668,632,060,138,386,849,354,876,483,149,478,282,995,838,938,010,
949,571,217,900,402,132,576,354,020,276,692,647,813,403,682,313,858,374,116,
584,592,740,996,492,868,746,304,578,040,243,297,546,947,814,891,291,483,261,
671,982,404,124,378,468,742,102,498,009,618,615,768,320,559,600,992,358,355,
490,608,511,636,418,876,473,113,008,950,310,249,080,100,427,139,680,732,054,
732,975,245,608,015,268,798,205,351,991,356,745,380,872,973,127,999,820,336,
281,676,697,373,851,158,960,247,628,001,701,463,801,045,776,695,036,122,691,
545,578,191,866,372,944,235,022,769,483,456,355,945,768,939,968,074,615,464,
324,557,430,111,476,179,078,699,539,315,808,271,108,422,658,123,637,964,848,
572,175,181,564,658,689,688,065,831,077,396,358,932,457,310,492,865,488,914,
894,365,255,657,250,586,874,889,825,964,535,843,969,219,300,366,818,206,681,
465,429,787,054,210,105,664,050,195,879,658,607,729,189,846,835,082,398,669,
424,285,938,817,730,412,349,906,846,235,461,918,748,252,973,727,944,350,755,
917,028,852,844,668,850,245,536,541,231,044,527,989,558,479,769,609,970,041,
654,517,101,445,371,569,786,941,731,055,715,524,163,454,066,710,841,907,137,
773,173,056,620,613,460,684,616,108,344,001,853,200,541,667,618,827,367,007,
750,903,640,352,213,658,377,592,953,887,592,506,653,770,909,016,938,093,700,
297,826,365,007,966,987,957,287,735,779,215,380,592,457,815,373,346,383,004,
218,191,105,289,431,778,064,370,650,574,366,159,959,254,171,150,589,400,523,
856,199,494,674,538,853,552,103,475,726,300,317,384,734,361,410,702,525,096,
644,363,338,400,157,186,641,239,344,595,071,336,445,684,770,204,133,272,690,
759,712,747,147,608,980,947,643,084,213,774,264,922,272,848,521,933,706,727,
469,331,548,371,320,932,090,944,113,887,183,600,318,865,501,907,395,683,511,
993,204,648,296,484,005,170,311,037,474,297,214,760,719,853,693,469,554,883,
960,355,637,379,863,347,403,993,030,023,477,484,797,409,837,521,345,449,195,
147,197,822,168,013,223,125,307,591,104,777,854,338,969,165,286,878,537,951,
314,806,762,636,664,231,503,512,107,298,485,346,518,515,579,163,611,983,400,
205,100,587,562,179,012,250,691,552,336,032,782,605,464,220,596,630,757,894,
166,450,927,506,898,726,867,452,863,945,529,321,864,419,882,086,169,377,582,
733,080,444,255,491,939,710,810,100,519,725,691,986,043,073,845,174,093,285,
950,089,931,693,589,578,456,386,222,184,970,359,580,392,271,170,510,783,619,
669,663,865,103,600,848,580,335,740,411,580,345,912,422,096,229,135,065,298,
036,144,582,670,449,804,872,834,173,180,546,114,374,895,802,258,032,873,035,
159,965,764,165,307,306,512,820,205,357,455,274,612,384,981,639,822,697,747,
879,658,791,272,614,225,904,992,385,581,799,349,987,716,031,377,361,172,412,
778,176,888,929,192,798,268,573,854,308,043,453,991,404,976,188,632,222,245,
885,001,898,575,008,814,282,004,506,906,644,067,807,057,802,196,163,614,756,
198,797,793,371,382,161,066,252,752,886,596,140,815,782,795,779,396,856,204,
641,144,579,288,863,586,364,636,597,556,679,750,036,939,388,485,417,020,683,
308,755,074,928,082,086,670,427,856,367,924,462,968,029,069,881,671,393,339,
288,380,726,090,538,536,981,193,578,403,885,456,567,006,620,548,857,188,987,
819,144,485,373,733,117,503,144,140,428,867,060,027,953,361,865,709,719,577,
303,820,303,287,967,932,612,751,595,237,961,053,028,060,939,448,801,607,088,
156,219,722,794,821,534,883,393,902,933,442,165,592,972,304,274,055,605,014,
566,455,110,857,931,382,824,102,295,516,478,648,324,419,729,550,549,456,517,
205,587,242,355,978,418,389,714,338,255,145,713,059,201,637,775,992,650,948,
679,443,514,761,975,018,238,642,994,926,405,543,919,727,639,360,812,297,859,
435,298,559,811,511,049,412,119,334,734,664,138,930,262,254,130,384,681,649,
586,389,609,238,129,682,383,434,384,085,762,243,530,724,135,841,364,880,706,
526,310,932,234,297,239,156,747,264,314,110,200,333,020,848,159,857,718,558,
684,021,376,972,852,991,850,888,193,398,990,540,661,540,430,996,036,115,709,
114,708,460,869,880,017,555,273,049,861,759,712,066,268,835,952,292,611,175,
902,342,208,779,537,581,302,881,172,010,470,625,126,433,649,697,205,583,231,
477,443,866,075,814,904,923,101,813,678,134,791,907,753,296,966,959,665,362,
960,371,310,628,087,645,502,576,582,539,644,488,446,418,669,243,011,845,185,
452,003,452,624,546,188,149,535,982,379,791,129,546,396,021,097,755,506,711,
633,652,117,735,261,547,096,014,619,614,702,011,976,331,946,864,050,508,152,
167,261,046,354,880,104,046,088,068,357,847,974,800,465,707,320,208,211,974,
369,593,104,503,778,377,453,354,724,943,276,196,464,690,922,390,820,230,587,
198,989,756,122,922,844,811,017,472,832,033,600,458,547,640,818,306,822,255,
704,071,345,933,236,436,134,174,695,733,125,499,565,046,994,658,595,585,300,
592,782,402,884,249,575,374,470,545,586,326,790,573,777,209,221,856,613,260,
248,447,521,960,840,651,972,796,635,652,524,567,457,025,387,197,707,755,208,
893,356,811,954,374,072,347,389,461,484,918,866,314,093,833,328,646,889,967,
547,847,756,529,887,962,308,129,391,695,009,668,275,918,007,263,194,645,474,
240,027,451,083,709,037,622,184,707,873,368,932,453,503,192,024,297,009,066,
394,458,821,336,293,576,093,566,407,108,050,495,492,317,607,400,071,083,029,
799,696,695,046,286,160,856,795,694,924,958,743,155,045,068,295,223,398,678,
067,454,244,278,851,510,344,775,678,912,335,545,259,799,760,714,361,451,881,
749,825,530,932,645,106,347,113,804,705,056,044,917,709,343,922,769,737,479,
676,171,213,795,138,063,732,471,145,636,071,931,585,748,931,062,573,496,714,
265,719,986,967,385,638,559,824,106,436,781,252,639,959,304,804,952,744,337,
639,195,354,200,122,778,333,101,173,769,145,725,316,419,004,563,608,806,848,
826,063,985,372,061,373,158,766,790,659,964,463,591,801,552,115,439,461,193,
412,947,134,315,366,905,186,735,368,721,711,146,283,675,257,948,826,236,972,
911,854,550,711,257,961,826,818,046,126,723,185,470,820,828,314,846,439,976,
573,146,732,026,932,923,105,997,685,545,262,837,820,824,947,044,203,588,145,
677,683,854,865,573,505,217,672,263,934,781,865,020,893,176,961,179,548,447,
647,207,376,839,081,891,750,474,487,674,394,050,915,499,222,919,541,952,552,
343,468,385,734,988,839,410,249,273,075,200,641,748,030,263,778,265,691,246,
967,628,572,376,879,886,082,667,724,152,358,805,724,235,474,408,886,571,540,
911,200,796,891,724,463,283,654,977,127,653,149,332,939,017,081,269,167,512,
455,698,795,825,828,269,235,337,785,700,665,139,677,733,569,981,566,090,347,
198,094,987,751,727,761,509,088,953,535,071,516,636,809,887,126,418,484,281,
305,477,084,326,450,324,322,920,591,548,900,672,637,728,924,486,712,249,836,
070,689,991,309,796,222,754,729,902,350,273,493,012,027,594,523,746,043,772,
443,231,411,725,993,930,062,869,498,224,084,330,960,684,281,943,866,521,126,
948,582,125,148,130,780,080,454,749,372,650,511,540,424,893,913,768,271,949,
109,069,648,550,556,061,029,678,661,196,376,168,019,069,375,790,066,119,107,
252,038,082,328,032,869,493,508,215,733,587,036,445,274,772,753,924,124,874,
108,735,942,022,889,086,214,425,796,635,134,093,326,520,645,567,128,709,427,
997,203,455,863,595,406,365,127,681,847,106,365,120,694,321,869,743,128,628,
914,702,737,752,960,023,964,282,939,869,128,302,711,247,865,477,251,705,241,
805,160,414,039,143,300,896,970,552,499,471,170,901,857,266,807,671,735,187,
831,603,807,552,133,756,197,406,439,809,217,749,075,438,212,995,561,460,121,
084,646,339,271,274,995,089,225,208,413,877,512,242,116,314,817,457,652,269,
021,869,576,122,777,162,940,690,072,242,790,892,124,828,559,558,333,821,613,
130,696,246,804,157,284,502,671,196,143,904,037,888,879,649,513,014,272,967,
187,733,650,888,926,742,198,443,303,494,585,805,375,484,430,782,368,022,208,
682,840,333,441,539,139,812,294,409,136,690,160,736,650,729,877,498,287,959,
826,185,067,011,796,115,713,743,837,092,015,769,287,661,209,482,471,792,268,
152,537,831,213,860,933,898,281,595,997,905,794,311,375,888,155,953,069,284,
652,249,918,560,691,897,858,759,354,353,632,577,600,646,141,343,406,038,893,
181,117,815,408,480,930,139,731,213,770,552,268,353,583,091,323,533,646,427,
650,737,176,748,602,824,989,247,409,652,591,296,771,231,258,294,682,757,505,
694,419,290,945,260,056,301,842,152,394,025,701,619,931,326,869,644,198,842,
716,300,440,633,941,425,826,999,264,960,405,472,211,845,805,316,141,713,997,
509,328,826,130,085,905,320,151,329,302,188,468,039,728,055,308,953,048,985,
145,924,081,915,319,696,080,353,821,035,711,993,770,469,008,180,889,919,332,
209,048,785,045,313,800,878,052,918,580,147,727,293,918,744,710,480,149,548,
973,483,340,302,962,296,153,714,289,891,119,251,777,508,471,709,739,875,667,
034,325,490,700,037,919,579,240,459,406,875,519,816,918,696,151,419,926,526,
296,542,101,179,238,781,720,988,949,143,542,593,195,528,007,696,823,353,274,
772,843,701,246,475,551,349,256,853,932,026,998,736,868,612,082,583,397,349,
691,611,899,825,752,790,873,491,115,734,154,907,094,401,004,706,144,054,082,
215,034,667,896,606,900,932,182,280,420,777,644,954,880,517,605,725,547,691,
169,250,633,922,710,468,907,217,538,008,941,659,005,947,836,592,281,333,776,
473,580,970,892,729,190,736,504,780,475,439,064,359,948,325,843,980,632,116,
401,395,211,124,445,371,493,780,924,022,407,488,738,153,483,664,826,066,571,
831,830,437,740,905,685,360,341,966,325,685,068,668,731,588,647,318,283,488,
380,160,001,820,514,141,487,247,706,202,999,748,298,133,542,692,666,418,115,
737,446,422,243,914,467,197,487,779,150,108,174,025,554,538,802,877,176,705,
814,655,749,488,021,712,573,428,016,384,702,638,777,153,042,939,815,659,394,
492,717,877,378,271,805,694,764,241,549,139,193,305,173,104,905,743,312,578,
505,389,946,160,201,144,030,295,444,476,609,010,405,314,031,766,653,261,147,
096,351,672,687,669,481,453,357,311,610,741,025,936,534,854,358,633,867,903,
652,996,685,111,142,027,131,376,138,842,050,561,215,041,755,296,440,334,596,
400,443,201,138,294,710,321,330,747,267,852,074,421,754,055,254,349,652,642,
761,146,282,898,045,330,611,107,320,522,113,198,222,519,413,652,086,959,298,
315,209,925,430,237,740,885,002,514,378,560,215,282,867,559,315,281,227,144,
424,348,691,427,103,791,885,111,805,756,711,868,087,462,292,110,159,378,449,
180,442,192,959,520,865,847,735,324,219,010,759,579,160,120,417,835,589,065,
496,887,768,114,742,884,229,747,607,936,982,134,711,057,602,121,193,961,192,
177,831,733,472,886,776,082,927,074,498,325,072,321,913,629,771,416,286,408,
255,096,056,600,157,031,439,059,858,992,723,238,626,225,660,876,369,587,648,
690,307,923,543,136,626,251,263,546,816,570,628,507,525,485,480,781,859,962,
496,969,927,359,527,483,541,800,083,168,347,414,926,351,879,812,218,595,142,
432,311,896,477,983,434,056,924,482,931,651,039,672,465,332,632,333,074,662,
190,631,218,577,152,398,535,262,731,042,698,865,084,524,952,735,758,163,420,
271,442,252,624,096,044,489,718,958,131,712,856,040,746,758,497,289,080,237,
347,619,813,042,880,261,555,607,098,359,948,652,178,940,835,613,014,883,832,
443,479,403,457,103,620,611,114,997,904,736,916,754,905,804,374,881,506,075,
943,738,207,312,717,425,975,255,529,406,109,194,611,898,940,068,679,875,079,
949,827,486,523,362,079,913,243,364,693,410,546,991,902,482,295,370,455,518,
673,183,218,628,051,740,922,530,178,409,504,461,667,223,064,778,641,067,304,
670,382,517,942,260,043,468,210,511,264,919,209,883,006,801,119,905,532,099,
381,435,639,554,065,474,663,984,038,323,211,605,942,923,972,452,422,951,570,
176,398,926,888,661,797,855,082,509,421,979,435,095,652,358,428,265,907,821,
983,733,814,649,963,356,146,623,825,475,713,326,319,020,884,419,703,699,663,
502,127,049,147,852,789,960,378,749,442,594,077,133,137,331,052,787,034,551,
385,475,282,391,706,308,631,963,757,038,219,546,510,632,163,632,443,608,075,
872,122,012,249,257,958,747,324,159,600,221,385,257,136,370,187,620,758,407,
693,929,796,436,282,754,566,723,373,485,131,126,186,554,884,190,292,188,394,
723,512,537,549,378,042,858,321,751,843,477,435,491,467,742,707,713,590,897,
586,769,209,205,394,614,235,010,807,691,478,428,419,556,278,141,155,453,800,
033,512,171,648,179,674,444,596,688,369,704,544,325,056,832,649,114,187,801,
083,856,968,413,643,028,091,331,647,752,945,173,139,022,090,872,424,968,815,
299,566,965,273,851,802,432,804,145,140,536,708,924,306,193,756,768,697,792,
332,247,587,530,145,049,696,671,619,089,403,866,864,580,253,467,703,849,822,
799,212,561,608,566,216,351,214,812,249,101,874,710,775,967,818,220,115,017,
222,385,860,737,326,171,393,263,092,622,819,334,056,165,991,357,584,573,028,
452,314,185,734,224,260,648,887,093,698,398,510,511,268,992,850,554,045,999,
053,809,982,619,666,601,864,583,063,400,354,964,598,767,484,256,050,390,513,
045,333,147,418,752,238,722,086,569,416,151,935,244,496,277,367,835,408,566,
237,374,379,507,776,747,110,464,750,374,060,522,204,931,392,014,985,721,317,
063,117,824,320,441,616,557,837,951,041,382,575,020,605,385,543,080,375,027,
129,608,489,444,442,455,681,889,462,101,571,873,037,581,975,112,862,124,954,
584,660,069,431,798,733,269,905,992,192,467,115,145,892,809,497,797,393,676,
954,147,942,345,410,575,475,150,383,822,104,696,859,912,492,590,254,183,375,
862,471,856,169,743,106,220,938,396,559,923,374,735,856,097,212,850,386,653,
951,954,382,515,427,787,739,349,003,505,014,445,181,783,887,920,773,209,785,
912,929,922,520,076,385,626,779,601,435,930,158,221,408,691,355,074,042,754,
544,843,741,736,944,940,611,034,041,243,717,941,490,503,106,949,935,403,252,
327,788,205,723,686,328,327,724,321,444,432,108,932,979,942,033,296,611,798,
719,344,436,653,091,875,914,623,267,245,522,495,589,326,030,711,422,759,871,
765,735,610,226,095,372,686,036,126,364,917,702,190,902,337,327,937,571,232,
215,061,329,936,420,567,581,355,399,614,327,268,439,323,608,005,652,966,678,
231,242,624,988,484,766,525,558,444,757,038,563,947,087,756,231,784,716,935,
341,217,203,525,098,082,929,511,604,926,919,074,706,725,252,831,287,830,201,
769,014,346,388,998,206,073,596,677,377,711,751,174,978,737,001,869,668,402,
472,589,621,685,025,904,582,581,827,342,643,107,593,711,906,273,838,947,628,
396,070,823,680,161,051,169,553,300,691,723,592,997,265,900,998,481,763,709,
484,219,037,675,488,470,789,647,229,564,664,049,156,853,617,459,577,315,504,
040,771,246,197,455,265,690,399,987,177,917,992,991,954,608,988,674,485,637,
702,441,678,233,813,504,539,748,424,021,060,572,432,679,999,471,386,328,284,
519,596,018,814,325,027,608,944,538,316,053,222,102,750,664,942,140,701,545,
435,746,198,227,137,511,038,153,102,122,352,509,467,282,015,699,076,318,741,
256,179,488,857,924,196,716,961,353,112,430,168,931,776,999,671,304,272,493,
617,184,728,375,401,120,961,838,078,755,185,498,009,685,789,368,935,871,867,
509,151,339,050,528,740,051,669,978,031,378,041,045,867,841,011,962,248,063,
549,565,501,784,271,226,788,471,001,190,740,313,177,357,787,965,713,910,932,
710,978,963,426,285,938,264,720,348,903,623,176,831,705,723,700,557,056,960,
763,387,236,195,039,983,884,108,596,490,215,855,265,009,757,401,813,656,842,
736,738,192,759,697,733,264,867,688,170,609,195,343,682,332,389,522,316,167,
439,586,389,962,961,037,380,160,284,224,233,683,476,762,955,757,622,972,895,
353,084,802,650,664,524,091,988,221,752,288,519,636,037,377,369,437,332,526,
767,966,871,962,642,283,469,779,856,795,135,034,960,094,433,600,595,089,341,
113,662,247,136,041,388,835,285,213,705,572,555,103,595,126,525,793,797,129,
353,234,944,397,440,891,248,883,393,534,947,725,812,655,574,228,737,558,518,
677,105,862,996,239,473,078,416,650,166,157,933,236,458,127,198,206,867,379,
854,848,241,346,924,035,061,516,476,815,181,077,096,889,848,639,415,708,891,
502,752,203,096,120,562,833,575,987,607,323,210,950,453,099,234,313,520,005,
405,269,114,189,477,168,001,883,385,194,593,477,274,175,836,201,121,226,331,
391,949,090,475,857,656,437,591,733,941,253,714,505,763,252,576,709,329,459,
973,141,008,020,383,620,384,813,910,979,693,737,740,782,240,168,548,750,599,
371,352,220,356,392,629,362,175,283,454,386,751,490,349,972,981,243,592,915,
692,094,649,406,858,027,316,134,868,086,239,502,838,979,827,824,330,966,655,
970,933,697,844,456,528,171,330,146,139,829,342,410,204,582,867,690,075,864,
124,851,886,791,025,057,040,525,717,096,366,349,307,655,892,111,897,127,172,
732,317,423,037,937,565,487,898,270,929,700,704,612,372,308,485,952,436,740,
200,091,325,918,994,570,814,359,170,433,855,021,283,189,809,861,936,651,671,
836,597,583,727,406,742,459,397,568,977,629,306,983,815,842,569,802,968,572,
213,102,986,365,894,448,489,007,151,039,347,632,687,714,058,741,779,420,705,
600,431,001,833,484,812,227,305,602,784,692,314,054,832,757,760,429,528,341,
103,958,425,864,282,889,543,706,154,828,082,127,681,802,255,408,814,811,379,
928,465,433,200,433,156,410,500,403,848,310,395,121,565,968,981,287,057,407,
197,185,154,617,978,351,471,270,412,329,757,116,930,366,225,701,633,186,597,
505,151,634,043,399,312,153,554,015,834,439,589,041,925,693,350,671,074,935,
342,569,425,247,944,090,007,201,831,494,368,304,639,435,247,028,795,031,106,
735,422,144,508,789,755,160,055,831,000,365,289,589,870,070,953,060,446,153,
380,874,469,935,685,630,303,365,513,306,856,592,932,936,140,111,010,446,030,
271,549,388,287,588,082,491,024,791,869,442,598,351,433,573,510,527,895,030,
305,875,577,557,889,901,769,966,764,775,347,950,399,615,202,605,286,027,404,
231,138,736,980,731,141,166,644,680,952,401,941,951,938,769,920,272,103,399,
445,896,891,128,270,386,302,030,440,648,022,765,942,789,654,383,975,887,197,
644,932,295,370,095,815,963,150,452,648,338,047,597,028,302,888,474,130,981,
704,433,785,936,331,242,826,556,310,244,414,085,799,031,191,928,135,292,553,
906,615,685,744,083,542,243,921,176,895,772,326,910,012,297,628,955,652,867,
554,881,569,268,371,499,065,998,829,114,526,970,016,993,675,531,777,819,140,
105,316,102,197,869,324,388,081,976,009,942,089,073,208,791,903,544,168,878,
411,708,679,868,037,481,364,911,300,901,906,670,473,023,123,028,008,641,969,
397,353,945,431,563,047,723,174,109,368,993,088,751,268,207,157,295,241,748,
423,287,746,205,785,794,630,576,314,161,345,716,674,730,390,284,206,291,242,
603,868,665,409,122,201,285,517,899,030,031,452,267,271,052,329,041,080,520,
066,718,481,319,889,118,752,652,936,640,151,887,204,325,405,077,194,515,517,
994,957,618,301,325,301,484,990,438,845,232,602,316,088,949,206,815,451,662,
032,260,663,891,495,817,557,149,176,189,915,142,841,020,202,488,656,244,592,
717,623,703,128,662,000,833,020,906,428,051,347,679,308,436,560,571,651,674,
408,264,843,216,568,057,843,714,121,517,466,275,253,662,093,913,253,734,331,
943,115,983,179,900,128,679,325,946,982,919,345,110,312,892,668,324,870,755,
676,553,484,519,732,200,484,614,277,792,865,439,561,020,182,676,477,814,247,
767,589,838,235,035,345,162,567,140,502,785,369,829,967,826,895,294,392,514,
522,776,419,552,995,165,838,206,601,666,161,896,867,769,342,113,143,341,712,
468,069,906,307,148,339,013,043,663,303,626,126,401,581,784,463,253,424,342,
602,279,932,027,763,242,681,609,783,229,330,943,953,521,791,354,252,191,522,
837,378,118,211,985,355,057,453,350,365,044,446,978,401,476,325,781,752,282,
554,692,587,605,958,267,826,863,672,944,287,688,579,331,042,568,121,262,645,
667,722,552,281,156,302,921,896,356,405,205,458,946,439,734,573,700,172,344,
022,751,803,786,682,938,599,936,973,447,235,843,110,239,822,364,438,823,503,
447,899,904,794,182,292,102,934,535,563,505,270,145,409,272,558,247,897,323,
330,529,171,349,978,662,293,585,625,039,727,022,918,909,438,092,832,447,336,
348,530,053,549,641,009,150,494,441,788,089,942,871,761,367,616,801,605,207,
378,762,110,289,134,054,509,043,565,902,029,198,032,539,216,021,021,822,166,
925,142,021,943,628,323,753,542,266,274,302,487,755,827,902,959,137,810,650,
787,436,100,886,483,889,262,245,967,003,182,052,661,001,730,424,565,239,443,
893,643,476,245,789,359,666,433,126,635,592,253,198,426,303,307,144,699,546,
810,441,423,384,220,898,751,817,605,057,027,590,733,239,665,147,067,599,849,
927,492,593,802,234,177,714,686,333,059,380,124,804,452,062,765,563,800,600,
084,122,880,010,814,985,052,996,936,727,425,812,236,289,641,537,141,693,325,
179,461,603,630,945,555,130,544,212,215,764,427,786,650,861,262,169,335,910,
966,324,243,261,454,740,884,037,600,968,989,963,881,818,846,882,693,453,330,
565,783,172,320,744,871,323,757,270,010,212,524,007,526,544,310,893,458,442,
685,832,196,823,311,403,990,912,024,104,694,284,494,804,213,129,993,294,986,
350,164,799,351,520,779,315,395,161,946,095,870,180,375,814,376,134,372,450,
499,892,040,157,425,816,344,238,039,864,619,299,727,723,049,084,111,979,962,
042,356,970,183,267,286,890,845,092,554,675,716,604,678,268,281,707,705,179,
751,843,365,573,763,122,001,592,893,792,522,266,596,382,599,540,782,678,328,
205,533,354,346,988,712,288,719,064,213,662,480,309,739,094,943,105,942,932,
729,654,217,272,379,025,409,036,979,169,576,869,515,325,084,037,459,460,945,
494,611,351,562,148,039,167,476,747,541,824,818,433,223,698,210,146,402,058,
377,811,987,683,955,197,437,332,086,194,077,471,524,665,759,868,042,696,029,
487,644,553,753,634,005,283,963,603,243,081,880,751,131,887,383,248,493,240,
302,644,846,196,923,280,059,522,656,361,152,729,508,932,831,299,999,563,344,
979,736,199,558,347,396,120,238,163,760,530,007,927,638,938,643,692,288,202,
261,983,713,020,031,413,151,447,009,922,299,222,888,700,152,109,795,284,679,
369,270,107,222,380,670,497,675,442,293,473,490,365,414,602,925,003,956,831,
432,014,537,077,942,497,468,373,634,762,151,127,188,939,891,754,065,682,870,
260,280,671,064,014,709,235,272,196,526,192,996,049,995,941,896,255,775,483,
648,524,227,960,067,988,143,132,730,581,805,591,706,142,517,349,408,104,040,
563,638,766,234,706,226,274,340,365,175,824,288,444,931,805,838,686,151,152,
200,362,653,516,277,737,886,078,143,903,922,989,394,229,664,180,438,341,071,
370,038,961,762,138,945,276,233,238,405,926,062,106,239,693,753,402,147,152,
409,711,037,386,848,890,056,722,020,187,988,427,564,312,674,319,684,371,688,
739,297,891,229,566,882,702,350,717,384,598,489,165,240,487,814,445,846,896,
506,185,179,853,538,362,798,897,109,369,986,914,819,139,155,604,640,305,567,
763,436,501,919,439,823,189,553,719,987,573,043,926,120,307,694,882,344,301,
415,720,028,623,640,774,791,460,765,495,678,692,891,570,395,237,877,026,029,
846,626,808,195,349,757,966,891,516,476,703,008,964,677,660,863,743,833,969,
353,773,203,825,420,706,155,218,597,037,138,813,051,525,484,036,393,919,889,
596,364,493,874,591,894,644,232,622,571,107,916,466,373,546,023,600,282,339,
812,852,378,289,199,606,633,792,898,718,499,365,135,794,847,421,423,105,867,
910,865,671,729,258,325,868,755,851,770,219,950,842,888,917,849,972,682,567,
369,259,430,721,756,460,404,818,581,930,386,378,338,280,428,953,668,351,637,
679,615,440,823,020,896,704,178,860,219,759,321,165,661,800,293,406,837,901,
343,618,361,475,751,676,877,609,006,647,559,106,096,440,234,247,367,166,587,
820,581,429,085,331,605,703,774,445,162,692,027,753,430,817,337,926,083,617,
235,066,930,314,738,005,430,090,334,192,233,805,094,022,539,040,941,207,941,
832,158,570,524,590,591,129,189,586,645,302,144,465,228,181,352,886,704,164,
885,266,362,932,452,651,800,875,642,511,313,858,134,187,877,022,789,924,065,
041,893,040,454,874,847,527,534,327,539,538,176,185,442,025,235,530,178,421,
886,333,894,301,685,486,016,473,888,695,277,750,077,102,758,256,014,573,145,
589,936,486,630,710,198,240,342,644,001,848,149,976,913,120,526,106,629,664,
116,417,946,671,538,353,121,920,867,045,475,266,236,305,194,928,861,724,941,
058,258,099,737,603,543,650,461,671,143,199,576,542,806,753,630,843,716,130,
597,505,723,026,187,732,415,723,146,306,576,268,888,491,856,734,500,298,410,
504,299,156,096,153,765,960,546,296,179,817,410,202,630,743,501,088,180,332,
217,414,899,485,839,470,938,336,581,255,877,599,736,088,992,901,875,962,241,
995,527,156,800,255,694,702,295,802,921,205,694,698,979,903,334,180,026,952,
843,732,778,818,391,970,950,254,130,015,062,870,520,504,075,280,221,412,782,
084,045,978,236,170,109,402,363,321,260,856,299,245,911,268,538,417,899,346,
537,565,011,102,038,430,312,415,303,761,237,221,672,064,602,344,159,507,118,
372,834,038,047,795,202,573,268,494,431,591,557,517,543,437,424,870,160,330,
314,485,057,401,017,940,930,974,557,496,450,076,754,096,997,574,081,279,818,
255,032,090,070,436,679,160,247,621,035,219,477,982,455,482,671,917,800,934,
959,701,180,371,860,160,897,935,993,994,057,853,755,706,952,973,453,133,675,
026,261,722,937,266,979,237,280,513,771,026,894,649,497,974,883,995,003,907,
840,348,956,201,936,057,911,366,168,078,994,333,016,415,589,566,845,735,898,
036,823,151,790,902,016,368,670,836,649,474,486,535,734,019,781,429,307,286,
253,432,947,527,232,311,909,176,703,796,504,429,531,348,108,130,923,993,384,
493,512,213,643,325,025,123,524,153,476,642,506,879,829,172,512,639,207,323,
736,935,171,926,687,302,925,602,808,951,118,791,785,967,401,905,179,016,715,
759,108,523,203,209,040,117,857,030,260,504,909,741,343,765,861,916,344,614,
217,718,408,634,115,058,878,892,788,165,102,339,322,047,464,493,818,159,879,
838,267,773,742,182,620,036,429,340,152,321,907,698,462,263,571,209,142,691,
866,475,327,346,016,629,701,972,402,563,622,043,717,052,096,245,320,179,551,
003,284,875,153,573,276,649,017,218,401,453,239,443,253,237,629,769,848,118,
233,991,469,437,183,819,981,312,142,648,846,716,660,985,653,076,626,126,536,
589,016,794,976,910,748,599,863,499,447,675,517,683,371,603,036,188,141,922,
747,094,350,772,601,725,662,780,181,542,812,490,386,060,603,813,033,851,916,
961,780,215,819,918,933,578,830,732,234,535,627,523,246,540,253,015,780,927,
447,449,764,966,714,555,719,512,532,231,701,108,794,944,973,864,507,776,091,
398,160,185,221,356,154,744,365,270,192,185,005,182,113,390,200,154,059,736,
527,969,368,116,546,816,771,669,823,441,052,090,826,032,415,896,386,614,324,
448,754,978,447,015,748,572,322,320,148,194,316,612,703,303,654,352,652,233,
392,625,131,997,014,997,950,980,794,368,859,334,394,551,572,186,081,924,451,
202,169,001,116,485,297,373,206,169,788,336,355,379,305,754,740,030,390,366,
651,625,993,047,830,791,903,611,718,646,092,063,079,815,229,984,748,193,416,
898,526,697,814,129,197,687,055,771,605,907,726,214,431,383,501,771,096,163,
000,551,713,382,829,139,226,728,694,012,009,035,162,747,105,788,665,274,159,
765,761,467,810,116,562,487,097,550,434,709,469,715,421,738,173,492,063,418,
925,552,631,911,117,148,003,788,858,450,701,445,958,203,140,253,363,859,567,
654,640,398,021,355,840,528,072,535,885,551,608,346,469,242,696,891,235,019,
146,925,285,293,360,770,843,869,335,828,591,490,038,622,558,842,837,724,508,
435,495,137,742,339,654,188,619,463,759,686,517,620,738,501,743,884,588,902,
861,633,157,464,419,546,796,824,437,250,754,378,691,362,521,274,658,771,733,
802,557,484,958,152,463,888,036,537,703,662,264,824,230,024,479,329,504,038,
341,620,816,881,341,320,933,536,789,411,087,313,639,505,328,443,163,120,302,
431,872,016,385,705,756,858,593,832,685,579,021,836,427,016,606,373,413,698,
304,546,031,508,079,939,598,194,714,203,876,507,048,670,971,843,082,147,603,
428,392,231,200,170,805,682,201,130,402,264,097,629,058,495,188,558,227,390,
281,644,478,306,927,426,738,939,512,748,234,061,722,395,302,478,335,511,078,
568,023,570,057,965,379,574,260,985,587,742,816,162,154,863,289,386,397,943,
561,770,709,069,042,464,274,418,514,265,040,502,472,011,031,065,258,915,460,
825,535,261,027,030,509,150,472,990,296,780,414,749,119,631,731,453,569,444,
227,490,740,630,658,388,133,253,419,745,764,007,373,224,344,212,555,712,949,
626,914,668,911,583,435,536,641,350,435,157,981,154,353,948,676,305,627,650,
509,381,277,477,719,728,377,756,302,782,690,185,801,423,630,229,209,337,215,
088,807,749,645,388,513,719,021,085,407,601,646,557,962,788,160,137,651,560,
061,707,142,517,602,787,359,510,159,667,070,563,243,882,865,885,377,318,777,
045,011,031,192,236,613,757,693,102,091,969,804,464,188,886,676,032,979,410,
747,546,831,711,432,976,650,187,882,746,832,193,199,893,242,630,720,931,693,
207,606,868,104,971,309,739,733,080,797,139,749,882,568,891,459,889,678,395,
100,886,040,714,709,531,406,377,729,674,154,362,103,164,679,182,499,275,592,
880,663,187,455,862,259,432,740,084,876,927,273,589,067,821,512,716,265,089,
175,426,037,580,901,721,049,359,151,553,836,388,464,821,901,258,377,946,798,
779,223,600,827,912,207,513,345,821,776,316,836,869,323,740,788,917,538,421,
394,671,851,460,083,229,478,167,539,691,880,262,252,457,535,513,220,634,359,
190,958,200,992,697,117,059,567,445,963,055,147,533,966,365,609,016,003,892,
438,551,783,489,707,041,358,969,928,612,452,824,813,430,594,933,409,730,835,
901,148,888,354,040,273,213,002,142,165,349,050,405,123,694,302,693,870,133,
961,755,905,561,439,626,213,780,296,176,242,689,755,515,510,288,710,297,578,
047,179,413,365,285,449,911,894,777,376,420,172,624,659,328,361,890,869,488,
622,500,196,069,037,423,305,553,183,268,933,321,606,049,719,160,714,755,811,
265,434,784,617,550,732,679,957,292,167,498,656,540,149,222,897,322,202,673,
825,521,673,883,988,770,114,540,714,093,726,670,256,408,549,221,943,497,941,
344,197,889,183,640,622,451,052,676,779,310,579,904,261,214,636,060,848,962,
359,285,682,516,037,810,264,289,081,154,230,323,548,477,577,809,380,392,334,
806,946,076,752,969,808,110,684,586,040,901,502,945,745,242,943,057,175,682,
412,774,332,999,534,622,163,524,811,368,146,199,387,409,363,751,948,876,704,
710,172,828,059,692,781,252,319,033,821,682,386,849,905,138,527,775,607,380,
402,196,045,564,319,377,405,631,803,183,328,173,131,729,509,833,057,924,146,
967,081,211,694,352,567,126,379,196,905,804,556,722,093,853,063,954,104,640,
868,829,433,977,994,371,431,236,485,616,857,067,479,128,749,002,423,540,831,
804,313,457,548,935,888,876,449,466,856,304,544,531,681,380,097,955,154,165,
525,114,227,115,501,938,900,430,575,691,245,737,143,830,955,535,572,227,423,
598,626,065,859,745,621,391,873,851,930,733,632,867,396,574,471,484,831,353,
143,079,245,755,215,983,356,569,590,225,786,865,520,223,056,422,180,092,587,
777,609,077,394,637,549,521,344,004,476,185,499,472,006,962,748,705,821,542,
975,346,223,290,176,404,313,412,207,235,065,944,097,259,854,718,159,423,722,
907,668,129,218,740,749,319,047,057,193,249,938,598,065,824,991,584,442,622,
879,383,875,930,453,768,597,225,428,642,947,011,280,830,395,033,558,162,430,
231,037,272,572,175,971,848,617,612,099,423,639,128,359,957,738,569,190,679,
638,584,512,316,330,480,986,731,527,922,062,601,607,547,526,013,471,967,779,
533,332,690,779,690,016,096,216,068,782,195,889,154,618,819,897,814,797,933,
277,092,098,981,149,546,734,080,630,338,603,682,884,255,659,067,483,601,153,
025,287,774,284,112,312,817,449,073,242,384,700,362,200,680,994,353,115,040,
887,338,862,691,052,897,642,793,241,784,991,890,770,402,689,273,543,381,793,
688,477,050,177,476,409,178,315,285,685,007,926,696,992,833,308,019,943,847,
603,730,854,721,715,663,729,163,790,144,490,543,466,213,281,938,820,390,786,
799,849,198,105,300,040,440,128,415,256,343,407,011,165,021,160,279,535,276,
426,394,474,868,468,952,071,897,545,526,740,842,842,727,246,374,249,891,156,
881,094,872,537,734,500,520,040,349,897,994,307,411,212,058,201,242,899,070,
583,818,200,882,838,878,904,558,152,650,681,039,604,976,654,151,654,739,076,
631,962,988,206,981,124,898,423,594,366,628,775,907,006,746,988,018,738,788,
861,892,583,779,272,732,426,596,344,378,090,146,244,456,048,521,132,525,597,
835,012,903,035,033,880,034,340,491,042,610,166,673,762,193,705,183,416,167,
832,190,043,120,758,966,819,780,041,122,660,851,502,800,796,123,375,759,936,
847,848,820,400,443,009,661,662,912,383,464,531,121,774,083,186,560,020,723,
350,502,659,464,519,096,639,132,843,197,866,116,420,870,479,898,341,181,999,
885,330,002,833,237,095,886,520,151,497,806,586,841,352,469,693,465,286,157,
677,267,731,525,994,110,385,631,892,364,184,382,379,045,816,796,014,912,138,
682,419,454,237,210,741,344,073,779,454,998,638,642,717,385,449,566,934,250,
888,375,870,005,615,860,504,380,772,221,812,796,724,795,041,109,027,449,556,
094,193,955,953,001,025,098,480,942,531,551,991,915,285,906,741,566,284,231,
962,917,162,432,849,868,846,839,320,895,858,092,455,888,183,662,507,042,922,
452,950,908,270,677,882,181,397,425,494,573,319,385,677,402,053,492,981,006,
757,797,448,116,000,649,688,546,349,877,168,450,463,918,813,630,805,911,749,
825,781,513,383,261,848,313,361,142,251,760,194,694,379,469,354,838,389,848,
311,967,181,484,342,904,889,000,656,276,986,744,333,343,302,458,001,112,131,
948,034,331,925,129,470,899,773,055,944,478,073,508,018,478,986,879,645,599,
549,945,517,717,915,913,831,561,351,553,208,501,788,796,388,757,900,125,061,
825,617,065,374,936,304,983,402,291,129,102,297,188,485,361,005,151,669,975,
817,600,315,558,976,599,817,399,542,826,519,840,085,910,069,894,368,834,795,
420,643,659,218,369,337,296,747,387,498,755,685,836,781,269,841,272,502,718,
924,165,383,536,513,747,249,124,776,573,291,251,873,130,178,493,299,904,784,
287,055,365,187,474,959,418,020,578,438,981,896,621,532,982,024,403,425,358,
819,457,978,619,693,904,624,322,516,242,446,026,032,948,524,478,765,985,247,
560,932,653,374,262,647,932,392,046,654,450,284,987,490,924,128,860,051,318,
775,520,307,182,211,175,089,177,796,005,344,817,957,873,472,902,033,921,820,
867,252,272,404,150,118,496,872,058,515,453,587,118,723,654,950,610,961,572,
993,470,292,281,619,161,776,212,991,561,228,417,047,956,603,157,240,534,498,
211,624,131,783,112,227,683,102,971,866,081,511,856,133,220,549,767,310,469,
067,521,358,052,300,001,230,201,462,458,909,397,231,276,219,237,522,244,743,
993,969,277,609,306,905,122,034,746,996,179,739,697,621,145,411,840,056,300,
511,371,598,422,026,828,147,132,464,500,439,520,274,872,531,821,169,331,829,
180,866,082,992,495,679,039,245,120,432,190,238,932,626,284,411,673,987,829,
673,805,497,127,793,341,917,039,955,144,755,804,417,132,980,987,733,412,588,
962,429,309,713,490,713,547,749,906,438,869,017,238,724,951,931,928,306,046,
667,040,086,249,356,031,981,211,268,564,865,891,334,486,435,101,277,320,951,
659,670,067,653,208,170,523,426,349,436,414,085,659,884,198,154,648,137,130,
458,161,176,408,481,801,948,683,638,217,703,808,493,860,714,365,567,749,024,
112,547,498,793,206,625,303,561,244,932,453,257,705,887,210,017,820,658,079,
493,533,965,127,689,323,769,365,251,578,117,564,770,526,451,258,118,082,117,
679,937,466,631,575,748,011,003,697,094,354,562,038,060,635,274,466,885,530,
092,185,986,152,585,557,596,071,126,107,204,174,406,977,303,586,083,889,386,
276,176,277,237,159,245,634,235,687,192,215,736,969,152,885,440,776,175,151,
105,495,775,112,368,376,186,911,805,468,647,393,373,668,826,184,944,416,137,
745,712,464,125,134,137,290,368,634,514,470,185,813,734,331,205,747,086,200,
731,691,496,321,082,264,814,911,813,044,117,122,014,063,642,981,850,195,194,
786,241,243,459,576,035,768,584,434,166,793,863,454,016,313,992,727,157,760,
019,494,054,397,841,905,724,501,200,907,865,359,597,412,060,741,449,802,970,
272,443,548,322,974,777,646,040,621,979,330,200,262,475,242,951,485,987,761,
508,201,787,783,930,386,942,564,949,609,411,309,605,628,566,575,984,415,832,
066,700,025,003,813,540,221,933,152,394,069,767,729,688,162,899,288,715,479,
747,221,906,393,927,121,356,887,123,694,510,515,562,834,610,628,444,707,554,
898,276,083,328,991,799,060,915,307,380,299,456,750,454,676,002,480,413,058,
968,467,644,498,372,761,364,407,680,442,935,409,720,145,909,787,729,135,607,
326,688,426,371,787,471,311,687,612,486,522,730,581,728,649,586,543,975,876,
328,203,446,428,383,667,647,064,387,974,302,539,492,305,001,687,888,163,416,
607,792,284,414,086,047,793,318,197,328,339,916,764,487,482,717,754,969,053,
529,073,723,522,818,339,251,309,242,661,214,009,872,090,130,021,603,782,769,
784,003,533,318,892,582,656,572,780,043,402,169,379,104,636,564,086,184,914,
282,024,930,678,806,507,690,726,633,548,930,455,746,574,093,892,956,178,916,
817,538,854,034,253,105,185,772,935,197,795,037,012,371,605,415,488,428,929,
237,803,971,862,799,258,843,361,382,337,764,275,613,530,466,299,432,103,688,
883,937,441,474,182,471,378,485,093,502,461,048,289,539,933,100,515,544,549,
126,759,798,121,718,276,765,808,318,787,584,836,112,940,109,344,215,860,656,
798,810,286,259,418,451,381,787,694,499,989,538,939,581,217,853,119,535,960,
262,906,076,193,245,406,697,907,170,137,792,006,527,805,405,116,099,161,964,
865,833,365,552,754,570,502,904,666,712,048,445,750,290,881,237,949,909,626,
290,679,289,866,558,561,023,640,669,945,822,718,535,007,221,063,290,975,200,
582,809,975,720,997,174,374,075,957,466,561,652,106,229,282,398,119,851,024,
191,408,050,296,979,638,062,578,981,777,226,686,216,866,562,424,249,832,527,
447,485,139,995,493,032,269,188,334,844,705,018,275,991,270,020,176,720,126,
879,141,357,201,224,603,862,012,671,107,418,038,663,342,662,292,157,739,655,
868,534,832,571,966,784,600,918,555,254,165,037,314,218,131,977,575,385,477,
679,828,512,593,130,365,208,760,235,513,627,869,812,792,529,087,631,757,202,
388,645,912,373,646,476,257,004,200,710,393,620,945,609,680,980,881,524,779,
449,231,823,574,086,337,715,632,993,697,919,315,298,239,651,773,975,819,287,
617,621,217,211,074,893,054,236,848,352,333,877,177,486,194,514,587,841,958,
990,384,286,818,053,230,827,917,327,191,342,314,923,494,316,081,991,413,159,
621,895,670,708,843,141,011,884,873,173,304,636,710,382,750,843,669,556,568,
560,200,888,447,930,341,744,343,917,083,694,884,311,948,270,849,268,620,359,
027,765,818,528,527,238,563,537,106,813,426,613,852,084,224,003,981,948,448,
843,217,999,620,056,802,439,276,241,798,409,731,639,979,850,768,819,905,989,
984,612,969,647,786,755,463,659,651,654,996,210,053,863,313,827,487,495,162,
145,609,993,283,499,785,507,285,732,021,930,836,397,302,392,631,584,485,232,
410,755,572,049,962,753,985,314,026,718,214,516,829,113,848,028,366,900,117,
361,800,969,320,300,959,246,189,545,542,654,461,810,905,685,340,511,677,761,
850,982,292,670,433,551,270,327,987,189,758,640,628,902,880,633,953,820,709,
829,706,552,799,909,190,721,013,491,537,769,768,328,981,873,296,579,874,662,
886,264,880,135,473,287,783,745,149,911,010,142,192,843,994,771,174,953,228,
683,764,968,371,875,780,743,208,721,902,058,403,963,315,473,000,386,288,816,
692,620,611,930,579,561,199,633,548,141,366,992,576,003,436,573,777,004,778,
296,237,562,634,383,477,898,112,656,921,473,972,770,877,329,465,165,109,917,
021,243,206,815,416,772,863,771,939,063,869,621,360,122,481,978,025,836,916,
538,054,455,503,485,530,409,605,891,449,766,619,367,059,013,124,327,581,412,
895,372,933,445,279,861,149,000,118,867,163,270,406,821,006,690,367,893,233,
187,067,198,629,522,143,068,498,252,593,278,984,864,605,528,606,427,531,377,
692,889,749,283,956,396,565,398,862,699,170,992,438,525,886,034,342,577,943,
406,865,181,867,013,123,435,363,586,542,807,339,589,564,722,223,805,866,583,
006,738,497,859,653,735,550,233,619,602,850,973,772,834,208,546,786,107,948,
831,475,247,641,695,984,046,142,917,947,003,046,637,787,478,245,731,003,462,
574,278,307,712,409,860,128,443,940,683,171,293,172,736,977,015,807,026,574,
119,930,592,885,169,876,596,310,568,017,858,936,306,663,331,175,779,222,473,
625,133,264,365,935,112,253,940,393,169,951,193,742,080,606,417,197,752,656,
462,216,301,138,886,365,452,353,314,424,926,685,185,748,678,676,772,951,566,
531,285,624,133,397,200,954,899,731,093,248,745,099,188,981,630,010,464,771,
431,282,633,860,956,075,207,745,943,979,259,303,539,533,345,746,165,885,100,
340,528,374,465,046,211,660,870,925,894,907,100,622,044,737,751,711,510,085,
985,556,563,533,935,164,303,076,451,562,455,480,883,800,775,366,961,596,313,
668,446,728,412,398,938,887,571,937,492,490,563,410,418,477,021,634,756,163,
253,133,812,364,051,670,107,882,072,051,034,471,317,240,085,640,729,724,589,
949,558,292,829,943,019,009,698,126,405,538,865,847,441,196,906,720,441,704,
187,484,442,274,358,929,101,417,631,642,073,850,660,464,438,497,911,613,167,
518,293,365,831,127,989,853,658,078,973,364,408,040,539,916,803,310,725,096,
067,822,272,144,811,506,240,314,994,220,141,912,597,930,061,552,599,647,042,
493,359,147,402,423,434,042,776,251,914,365,739,239,402,060,053,096,422,373,
403,392,299,577,231,061,830,321,868,015,433,332,239,707,608,502,010,089,635,
290,815,042,644,173,052,576,706,245,995,251,672,391,034,800,335,805,067,019,
365,161,122,240,540,483,283,359,865,512,854,375,730,683,299,308,100,069,650,
419,121,008,298,189,157,609,696,497,421,803,688,900,068,934,150,661,696,261,
906,804,972,454,544,250,573,485,118,629,231,933,338,484,134,411,593,555,826,
880,911,160,063,896,624,110,615,359,913,414,737,644,406,013,448,283,102,338,
438,036,947,025,492,215,295,135,797,454,029,413,573,288,640,055,319,132,845,
183,529,770,840,170,215,250,048,098,793,451,305,131,913,894,982,533,498,053,
917,148,961,408,148,938,738,198,403,763,246,870,113,899,113,995,431,670,052,
517,130,094,405,574,487,458,965,446,712,837,520,441,891,124,649,362,622,398,
001,309,520,043,651,342,222,420,120,440,746,290,253,776,468,251,501,785,405,
484,157,017,690,637,488,062,428,925,344,256,055,903,683,273,111,569,101,969,
190,312,716,192,103,926,786,525,429,257,371,823,095,637,193,044,055,173,809,
005,895,322,035,348,609,481,170,010,434,384,820,226,872,425,645,076,937,227,
445,551,744,248,163,046,814,202,487,247,873,828,481,911,880,422,794,845,939,
311,331,817,312,116,202,855,131,028,626,772,519,963,248,955,466,838,556,111,
200,080,067,202,107,643,620,672,973,610,493,135,128,234,813,491,609,746,405,
166,846,636,750,665,369,294,931,441,709,198,300,098,932,760,996,664,395,470,
120,400,163,500,612,449,416,188,628,553,172,888,847,181,565,971,036,860,285,
234,625,213,678,693,504,040,754,159,042,693,930,525,064,327,357,934,962,074,
051,441,838,892,309,360,703,509,624,647,837,327,691,428,796,794,735,113,572,
335,511,024,517,499,315,420,218,340,296,445,649,094,990,109,706,089,362,794,
134,287,510,860,566,595,178,911,344,334,915,461,397,383,811,989,168,240,184,
163,998,357,942,572,705,310,788,148,666,131,632,899,314,005,739,376,792,855,
511,421,831,659,708,320,043,451,928,905,682,687,458,756,999,518,733,140,314,
172,669,460,324,302,882,365,454,364,390,299,099,205,247,735,627,751,389,251,
457,193,388,626,492,249,571,192,089,234,218,854,805,727,845,147,373,167,215,
547,685,112,623,026,391,303,351,478,841,705,479,509,648,515,461,537,443,144,
998,299,091,725,662,878,718,405,408,616,379,554,894,127,725,020,217,826,111,
292,922,247,604,805,174,958,169,919,039,823,183,821,398,611,300,811,195,508,
752,064,068,915,386,244,508,968,197,230,234,275,175,479,781,377,597,818,563,
978,738,837,863,783,334,698,358,387,072,730,560,537,736,058,737,201,570,426,
358,868,650,546,036,361,415,163,361,403,246,016,966,026,148,325,503,322,420,
141,184,361,081,913,129,148,576,702,705,691,095,663,635,608,639,264,708,985,
915,817,792,764,562,662,327,293,100,924,710,838,635,306,912,159,185,982,664,
729,556,041,134,014,968,272,359,670,989,007,895,562,353,740,076,566,173,838,
340,652,262,987,269,773,668,666,706,611,210,971,173,506,397,848,676,935,722,
972,249,900,971,732,430,671,189,605,231,747,530,805,521,455,695,049,783,451,
035,155,433,070,835,932,019,767,097,412,205,105,814,734,855,805,676,050,052,
646,655,419,083,805,566,565,163,458,446,309,990,292,165,380,095,994,342,089,
609,517,869,744,060,719,628,751,794,802,932,405,325,978,662,601,252,691,157,
431,497,716,358,013,720,834,930,002,556,187,348,380,119,132,374,184,279,780,
930,804,330,080,458,647,790,196,943,893,733,560,090,284,456,729,402,181,891,
101,089,490,323,985,460,693,261,135,901,826,333,154,629,992,497,870,844,931,
626,032,432,648,393,737,471,043,287,312,153,619,361,115,075,865,145,546,834,
393,255,824,964,200,685,261,234,347,714,810,080,349,281,565,361,221,199,317,
571,122,391,619,909,016,738,269,540,221,688,874,516,918,717,642,636,462,633,
344,640,775,212,298,776,499,652,992,278,804,020,980,607,419,988,459,214,628,
517,430,678,311,094,670,364,426,820,085,088,064,789,585,715,510,725,365,965,
621,998,672,945,185,502,827,155,862,343,345,188,932,355,994,294,626,147,147,
327,169,174,348,509,154,705,227,097,973,979,177,542,380,806,530,454,685,626,
006,951,489,199,076,178,231,914,567,800,035,653,751,714,658,505,398,181,154,
948,218,770,932,080,574,483,660,586,482,190,939,748,023,180,657,117,619,051,
558,136,342,007,458,858,683,623,626,272,825,961,484,576,880,026,425,746,049,
801,007,951,062,689,890,382,323,599,180,082,029,855,829,064,884,072,015,591,
701,819,223,808,931,934,240,825,161,431,324,796,656,072,507,501,160,009,305,
638,967,665,511,698,393,075,693,156,941,928,700,857,788,689,139,429,455,936,
485,461,150,323,744,042,892,085,913,585,190,131,601,785,203,932,712,701,012,
265,637,591,994,936,766,931,824,761,971,122,014,377,197,498,481,325,945,033,
907,881,864,063,239,629,147,091,041,169,526,706,061,921,729,632,215,519,908,
948,909,498,309,928,365,750,467,616,686,199,454,478,634,333,116,835,208,302,
729,083,425,220,542,536,531,867,335,669,086,749,224,503,228,748,609,365,203,
205,056,269,129,450,892,786,605,550,352,744,557,272,131,438,358,735,718,937,
726,462,376,413,421,839,542,493,037,209,513,984,862,054,415,286,448,496,208,
047,422,581,403,956,984,719,002,024,943,398,000,193,107,497,932,527,739,085,
299,711,720,511,881,278,488,574,755,471,482,704,789,820,387,420,061,053,918,
013,634,552,016,452,103,904,460,254,467,829,229,233,752,961,449,843,383,019,
181,820,695,292,467,751,214,706,530,903,939,039,549,058,117,465,709,496,280,
792,781,512,432,891,558,844,907,484,754,017,505,605,714,603,160,961,808,154,
432,574,952,306,843,184,019,047,035,886,005,443,829,801,428,823,472,678,953,
279,168,205,658,542,243,727,976,404,823,595,433,623,149,505,925,040,398,714,
662,086,191,178,994,182,278,266,202,323,526,575,695,637,687,505,095,279,860,
448,770,177,844,177,704,124,187,755,934,031,243,495,317,052,684,239,277,674,
794,787,478,057,843,825,274,750,834,373,623,814,727,698,268,619,266,552,028,
293,685,338,539,035,699,183,686,010,789,813,651,017,380,265,584,720,767,971,
423,465,253,684,956,000,066,894,399,353,716,309,657,698,312,466,436,239,513,
038,767,497,040,183,066,205,014,440,511,092,106,275,519,771,636,647,837,664,
887,772,457,646,434,489,365,726,074,788,572,786,567,974,164,435,207,933,119,
955,226,174,491,389,542,333,132,265,511,456,814,520,856,040,911,498,889,629,
321,503,910,533,057,725,304,261,118,019,662,100,209,710,537,705,683,569,871,
033,287,345,025,121,067,202,824,824,232,763,032,251,136,317,219,950,064,905,
213,444,491,142,842,886,709,182,133,706,045,013,112,947,619,725,860,167,452,
899,882,724,025,223,939,658,247,167,884,846,086,854,581,137,316,765,870,580,
039,735,266,831,900,417,996,967,902,063,407,942,706,303,926,443,843,430,936,
719,405,524,475,099,336,600,053,352,278,021,028,145,207,353,732,057,492,478,
494,300,465,771,595,992,383,250,387,242,990,165,189,212,852,672,384,762,478,
391,380,294,232,864,829,982,178,905,248,077,125,358,308,167,748,750,338,136,
335,734,102,055,299,669,909,664,064,427,484,543,670,528,300,501,876,765,558,
795,416,352,095,428,274,261,121,836,708,997,245,009,298,106,265,506,127,973,
372,000,640,994,878,313,439,604,981,753,818,033,861,030,334,764,966,941,177,
235,943,206,614,009,434,761,480,932,112,407,420,635,973,945,580,178,949,450,
472,793,748,672,207,981,046,723,290,614,414,761,205,637,243,190,340,237,653,
716,204,890,392,333,432,938,175,430,646,533,894,191,397,252,228,300,304,579,
024,828,124,546,449,807,500,028,341,409,206,826,850,523,585,287,139,406,616,
507,943,509,648,766,614,061,924,677,921,274,335,301,186,226,222,578,918,133,
697,307,961,739,789,755,217,130,720,570,666,557,876,831,609,988,521,039,671,
256,677,492,013,412,713,752,913,708,458,429,395,652,567,049,024,707,764,553,
369,684,110,714,159,335,738,531,301,060,862,402,461,483,145,574,630,245,313,
266,561,896,903,530,534,928,853,727,166,988,441,491,880,490,134,106,348,558,
293,903,653,608,005,905,828,764,969,462,001,875,229,886,232,697,246,164,735,
411,011,827,972,123,724,887,072,369,048,130,195,000,133,323,650,740,138,002,
167,919,598,387,958,720,470,554,744,300,014,050,872,881,068,203,345,886,690,
984,924,873,104,867,591,367,061,244,283,339,487,730,335,494,699,055,827,541,
830,009,227,878,050,808,176,104,122,868,720,143,653,487,936,342,159,054,931,
028,803,535,952,153,622,178,697,940,024,675,591,454,420,206,108,991,977,216,
503,859,534,040,690,002,593,255,205,132,191,292,683,877,565,383,909,862,474,
637,743,013,492,094,212,447,247,263,932,091,469,343,385,128,493,123,525,560,
244,399,813,971,457,148,773,431,817,616,757,287,710,049,661,793,124,606,069,
320,619,780,242,613,294,063,933,543,706,535,898,300,893,004,491,252,962,059,
015,640,406,532,755,924,261,646,273,240,848,056,993,345,532,794,377,591,375,
982,107,094,253,009,389,642,036,933,588,639,952,627,817,830,500,145,228,451,
539,600,994,149,610,278,351,962,211,244,970,177,242,108,242,840,305,142,590,
620,961,205,527,184,241,152,641,267,983,165,716,173,689,350,284,812,345,561,
101,967,984,500,077,385,876,660,612,396,103,966,976,400,937,304,729,197,693,
841,709,112,903,320,563,482,459,306,244,708,019,664,310,814,250,761,284,596,
811,259,351,355,793,076,593,247,408,769,219,853,538,070,414,357,561,413,680,
034,789,301,247,728,195,578,074,461,364,995,286,917,917,123,072,790,956,439,
468,498,700,672,066,181,525,273,396,635,621,960,522,827,067,512,820,496,383,
804,191,105,288,755,525,578,067,317,589,103,958,128,267,335,912,756,019,401,
103,063,329,052,944,267,373,155,029,075,742,968,181,068,498,797,327,778,273,
922,623,307,266,855,786,509,176,863,357,325,684,591,483,117,914,159,824,072,
456,974,317,528,745,412,170,818,702,610,051,358,839,881,052,770,335,386,506,
166,691,984,683,536,028,774,694,355,694,758,927,494,395,724,218,625,990,959,
327,599,648,468,296,763,537,579,912,552,206,607,674,486,982,796,786,464,678,
134,298,347,958,776,049,913,014,814,572,520,314,277,477,956,894,271,933,591,
245,054,829,974,278,659,057,238,313,781,767,302,395,609,924,769,910,925,647,
688,101,497,397,718,304,968,644,113,518,149,971,698,683,460,207,830,106,730,
861,877,353,690,754,658,053,486,919,684,568,565,404,304,529,619,132,134,041,
721,277,615,692,619,515,318,492,350,552,597,111,482,497,635,045,960,208,209,
603,746,544,521,362,563,558,146,914,017,712,401,409,338,390,560,972,659,623,
323,771,438,188,683,689,115,145,363,261,854,364,074,860,502,302,438,662,850,
762,996,228,643,351,015,911,903,903,023,695,281,457,232,294,574,100,013,265,
079,692,159,077,228,491,497,345,801,192,841,683,038,415,100,419,586,047,107,
909,120,365,654,466,883,646,613,798,056,034,913,030,141,631,600,096,259,865,
505,124,795,247,859,610,969,847,320,990,530,070,811,443,162,429,554,710,669,
472,614,674,614,998,760,454,716,239,923,665,523,805,085,731,257,418,734,885,
887,127,716,782,962,201,387,120,775,902,961,216,663,678,374,994,392,793,297,
597,721,189,810,663,535,910,673,094,647,054,064,992,950,087,362,714,423,147,
569,695,637,351,535,418,114,104,966,271,499,700,658,644,345,223,790,381,217,
103,512,797,460,760,674,018,760,181,296,237,575,438,682,074,075,349,800,744,
867,789,872,469,388,326,781,965,352,976,905,358,315,194,964,025,369,006,650,
178,512,907,991,992,492,967,151,399,850,501,885,246,323,068,305,430,920,962,
429,755,591,249,866,646,949,403,800,259,768,710,914,765,601,429,751,513,084,
101,248,300,993,739,308,172,348,882,943,874,430,785,778,822,358,480,427,993,
262,717,342,698,793,972,066,585,364,520,782,815,115,595,955,967,441,351,562,
471,937,783,630,179,179,697,602,356,166,993,774,437,078,061,554,802,092,381,
811,634,008,276,982,190,553,577,286,518,133,716,763,718,297,535,984,070,571,
335,708,926,562,394,735,137,997,086,103,235,287,778,398,957,986,601,671,694,
602,209,747,837,265,028,958,520,091,771,115,784,122,911,591,159,361,365,873,
730,664,729,523,732,689,096,110,266,437,266,028,086,340,796,172,919,919,049,
857,387,626,284,901,364,115,089,871,254,784,035,727,571,200,357,091,347,562,
556,532,864,282,876,640,608,428,503,320,418,948,687,777,861,196,058,978,894,
985,736,357,244,776,974,297,839,199,853,809,259,712,916,062,886,873,260,700,
183,309,511,161,630,934,395,781,670,205,421,886,985,740,498,795,467,931,849,
566,464,452,799,946,321,764,568,985,855,135,332,239,659,250,318,165,036,759,
912,333,817,887,613,103,647,515,807,145,775,397,136,051,571,858,415,740,343,
637,112,726,534,299,456,159,808,637,954,965,206,611,212,163,711,270,790,695,
346,627,569,540,399,999,252,103,352,598,519,322,400,818,152,431,517,276,049,
249,575,074,503,632,933,140,338,590,864,139,159,200,262,104,003,868,647,784,
053,118,172,638,794,272,471,775,719,238,912,185,674,971,885,500,037,841,322,
362,047,746,293,224,393,626,637,298,253,708,099,227,476,455,929,139,023,831,
685,124,315,306,303,564,360,555,845,178,546,471,494,967,721,209,680,646,673,
103,167,181,770,352,681,991,091,997,001,033,545,334,060,994,591,089,936,233,
366,178,933,476,528,770,061,248,397,212,784,724,869,141,564,080,184,642,818,
702,056,241,327,864,073,819,143,176,932,580,755,937,293,378,686,397,440,860,
634,723,887,496,898,111,448,995,951,134,225,588,712,812,811,761,443,093,036,
847,212,947,945,045,802,874,112,006,098,713,071,137,302,362,880,468,282,807,
320,966,929,897,299,325,675,960,266,838,350,322,130,783,336,330,825,694,905,
463,272,341,983,730,338,220,668,857,801,087,047,578,628,937,760,699,412,021,
194,771,125,145,925,716,711,634,874,442,361,494,771,307,462,530,642,475,265,
402,591,772,639,342,220,301,897,022,767,329,255,742,561,756,841,277,489,392,
932,024,541,588,146,324,061,836,869,402,699,322,164,951,707,423,104,860,541,
644,316,810,331,438,958,936,339,305,072,598,843,369,086,109,655,360,165,433,
409,209,406,712,920,712,803,248,338,650,422,186,331,516,125,838,051,068,082,
520,454,530,137,985,155,658,650,817,879,115,528,810,554,332,930,501,930,402,
520,183,102,311,145,186,526,395,170,096,862,700,810,861,856,436,432,182,754,
917,450,686,960,034,799,875,300,866,420,873,353,204,210,635,990,167,955,585,
779,632,918,385,821,595,169,101,373,475,685,839,912,345,467,744,920,269,334,
006,160,690,784,258,832,099,342,949,443,856,274,606,255,175,751,028,732,329,
435,843,474,491,191,219,330,853,039,217,664,751,557,609,535,691,744,440,768,
410,441,074,139,679,364,190,376,711,911,545,365,169,748,027,030,502,757,743,
148,661,731,268,182,709,734,854,150,455,891,734,106,269,854,195,702,400,636,
986,560,656,341,225,582,009,467,471,217,633,841,395,602,698,499,172,422,600,
174,992,664,208,616,178,693,127,338,624,819,330,306,148,693,560,957,792,166,
479,258,219,806,648,137,101,772,476,627,840,808,597,505,644,652,218,820,619,
454,470,414,845,458,426,080,747,775,687,985,430,987,173,435,486,695,359,330,
967,262,987,211,065,090,394,153,615,118,405,780,795,999,150,985,068,677,488,
723,681,901,709,853,751,266,867,644,220,765,832,380,979,344,331,209,228,614,
771,323,406,613,445,098,115,194,022,291,557,390,222,047,415,706,469,677,050,
809,147,918,370,853,722,686,184,803,583,227,178,413,381,653,573,914,095,687,
323,627,333,541,232,772,358,905,063,668,998,889,082,349,314,840,560,049,518,
018,434,227,510,521,710,898,458,887,437,594,592,627,114,135,651,982,436,734,
746,282,997,273,172,885,478,054,344,149,149,750,174,800,232,742,803,123,986,
725,254,305,127,725,774,114,374,762,547,835,208,323,267,837,457,353,243,134,
195,736,245,123,585,196,714,842,843,844,573,322,063,012,073,598,744,756,438,
398,206,072,894,467,954,307,117,355,336,524,250,407,400,381,046,932,444,976,
506,558,022,289,274,418,096,892,709,388,751,062,766,080,536,079,944,158,355,
322,796,316,386,649,674,705,422,644,094,185,988,529,779,927,277,837,932,389,
914,999,362,004,400,180,742,918,562,335,348,588,018,116,230,428,149,742,451,
539,186,881,975,147,012,274,812,986,396,246,904,320,356,135,087,502,755,849,
336,279,815,412,019,663,682,077,230,901,070,751,272,422,434,879,967,380,663,
463,931,804,715,269,201,470,426,825,707,826,637,464,937,526,120,614,894,999,
717,359,720,965,074,184,472,770,524,440,628,990,221,914,946,925,600,104,111,
000,057,299,238,079,540,443,501,277,970,230,829,819,903,077,563,289,507,581,
316,398,886,878,822,375,537,829,772,170,851,085,252,967,817,941,699,109,094,
091,344,243,271,732,860,830,171,911,070,050,847,646,051,359,741,543,236,877,
734,625,953,306,518,912,137,921,753,690,293,502,181,692,269,651,699,239,947,
679,361,657,065,300,285,321,043,458,342,305,588,540,675,511,288,278,952,996,
416,548,605,051,380,128,301,248,603,047,090,878,039,300,324,142,992,268,934,
302,897,458,842,559,664,029,476,573,738,529,735,053,553,201,534,376,704,009,
720,211,352,401,990,458,393,554,985,152,678,820,236,143,206,156,105,454,488,
527,691,245,340,468,552,853,438,820,661,054,721,175,177,992,194,683,716,036,
956,657,333,374,307,205,670,934,041,698,300,364,812,643,587,714,150,306,591,
869,237,287,782,027,464,198,270,021,828,303,103,001,513,770,906,378,839,461,
610,817,739,437,169,126,282,925,289,392,161,549,511,078,025,994,638,997,125,
985,491,877,105,222,391,610,397,351,796,153,311,897,370,785,359,552,409,509,
013,708,873,494,839,570,367,588,716,443,429,891,177,030,341,579,921,191,893,
122,619,266,803,907,159,456,551,813,954,445,631,338,431,851,401,023,891,165,
238,422,235,130,973,757,006,553,582,402,256,601,179,996,334,556,478,323,445,
462,708,344,190,515,551,718,990,665,321,242,558,950,764,097,364,184,308,774,
108,339,246,537,144,272,370,208,744,739,930,926,413,140,910,346,532,195,721,
529,002,672,557,279,293,884,229,227,391,454,437,866,159,653,763,082,526,628,
539,508,017,786,404,173,796,253,999,004,714,310,001,656,253,979,562,505,759,
407,038,528,356,572,530,210,977,782,490,318,563,504,938,947,440,994,928,669,
480,156,562,097,661,833,023,439,706,234,767,291,451,136,613,384,071,586,757,
735,122,004,787,696,280,161,803,044,047,043,393,310,441,118,020,125,353,955,
101,624,784,055,794,290,818,504,270,854,826,630,577,177,226,594,560,933,877,
821,813,326,127,628,742,764,110,140,197,117,942,624,412,423,424,479,658,470,
306,029,014,101,447,574,699,734,029,225,627,716,181,875,038,600,804,776,852,
752,360,768,039,144,340,574,205,916,857,818,952,937,403,874,526,620,149,225,
905,528,330,553,577,804,540,161,525,705,957,085,086,661,654,972,902,870,807,
385,795,282,113,970,055,275,672,380,609,671,775,992,146,146,109,112,318,897,
290,966,119,718,929,577,889,421,814,468,857,220,963,250,970,493,858,584,784,
901,341,168,752,833,820,551,784,613,740,705,595,006,119,319,436,521,094,221,
539,013,306,705,023,849,319,301,733,291,244,043,401,448,517,561,200,768,993,
032,595,492,063,159,663,314,983,889,338,185,397,473,801,153,319,957,386,831,
148,439,203,108,102,935,432,549,674,393,260,669,963,336,712,925,377,379,132,
747,159,106,705,919,169,683,719,831,478,445,986,785,509,558,879,534,778,317,
578,154,634,543,767,359,885,548,484,792,860,681,936,138,235,859,238,017,017,
556,271,296,001,017,317,156,118,132,812,665,697,894,650,428,031,164,101,493,
734,001,126,293,725,403,201,881,793,784,776,429,488,470,166,584,039,215,367,
213,065,514,599,518,318,224,200,695,542,127,627,219,340,916,101,105,757,186,
103,867,756,074,140,716,917,924,508,478,644,877,793,005,285,249,799,500,459,
048,614,515,149,930,400,603,081,417,970,641,790,405,666,188,323,790,179,696,
730,065,711,462,975,043,596,387,113,347,340,612,034,310,906,500,690,129,925,
896,596,679,087,356,181,394,740,791,494,791,767,065,188,405,985,147,282,948,
306,807,963,162,024,023,685,015,526,118,658,758,935,477,542,859,596,205,652,
524,840,279,586,425,600,373,657,836,105,540,856,268,447,528,063,547,890,379,
624,070,951,751,063,300,190,771,560,345,576,629,130,215,765,719,214,541,432,
792,918,402,374,138,511,306,413,333,353,502,151,324,581,738,130,856,705,632,
773,536,140,303,087,143,574,560,140,883,388,520,474,297,414,060,995,458,384,
702,685,754,009,789,003,782,173,524,482,255,121,343,889,478,688,473,801,724,
476,854,380,401,997,640,705,610,104,613,913,784,252,862,254,720,165,957,681,
920,852,640,827,293,474,996,766,838,821,271,963,073,658,773,115,085,623,753,
176,399,096,109,835,681,779,907,564,356,427,303,301,317,492,929,025,498,183,
458,187,514,485,360,344,560,973,618,182,613,935,746,128,917,952,014,834,685,
041,918,316,842,345,369,621,914,014,018,143,050,730,796,349,395,616,265,029,
886,014,730,625,992,875,983,805,234,019,881,693,741,537,685,553,699,226,530,
950,618,207,250,701,338,785,039,732,398,201,067,985,958,820,014,470,906,492,
338,951,460,227,162,908,084,651,388,129,566,759,836,091,879,000,039,233,301,
349,868,973,765,847,881,435,614,176,502,098,364,268,387,311,690,385,843,403,
983,053,097,996,521,791,606,670,267,454,875,616,206,597,968,071,533,956,475,
305,237,929,354,942,452,028,826,738,099,338,219,685,332,519,874,512,626,604,
922,425,237,722,518,774,184,904,700,803,894,351,916,670,895,740,310,167,767,
460,221,261,680,581,070,440,246,014,828,894,408,275,984,178,776,912,577,162,
001,183,453,766,387,647,525,302,850,009,208,724,132,348,752,376,766,600,748,
023,594,069,339,264,145,349,097,920,696,883,477,138,920,971,126,165,012,116,
756,378,389,668,364,153,253,584,867,396,602,507,351,963,380,233,748,306,503,
897,484,021,575,315,167,054,680,398,340,863,918,930,066,215,701,418,378,715,
223,188,852,703,545,840,699,785,916,004,955,210,005,030,109,239,667,951,335,
617,382,003,283,192,135,110,317,593,675,286,087,538,561,871,501,979,522,056,
253,427,821,660,401,858,080,907,724,868,185,230,173,769,850,448,472,850,899,
163,231,920,911,764,098,995,945,050,929,683,608,063,269,484,638,402,659,501,
029,506,238,745,653,234,451,859,807,961,991,837,122,537,160,544,914,700,126,
220,676,888,807,540,927,691,025,870,343,241,387,514,894,053,301,004,627,268,
145,359,454,407,317,108,973,465,011,365,919,313,954,040,572,316,982,014,369,
956,334,687,393,652,996,717,509,465,994,799,735,347,107,068,712,308,957,092,
854,588,234,423,187,942,266,863,878,521,421,552,920,763,755,335,322,891,563,
971,732,401,324,596,642,590,927,942,055,425,490,207,290,201,301,956,500,107,
342,705,601,259,721,337,371,951,965,339,728,204,760,510,100,666,965,965,287,
067,876,207,909,373,895,155,188,719,555,343,477,122,652,739,570,918,039,097,
294,253,047,219,623,249,508,167,963,202,275,692,058,809,231,397,231,856,508,
740,185,338,005,664,405,843,084,719,667,869,494,583,039,022,626,626,653,636,
052,724,876,747,294,232,703,073,987,657,542,681,408,516,896,907,734,092,185,
285,383,097,149,657,956,593,284,515,801,880,118,493,811,022,753,456,286,992,
030,250,771,960,698,996,844,363,839,579,083,384,324,165,815,494,363,782,966,
661,930,048,653,410,533,889,119,076,287,955,750,830,885,867,882,202,386,958,
161,197,122,168,763,105,112,378,705,455,161,694,992,612,474,821,594,087,126,
212,864,740,035,506,335,357,715,998,967,434,888,034,405,487,937,030,289,869,
486,888,493,774,988,671,237,155,149,002,315,680,405,556,025,274,821,847,591,
870,971,800,315,238,781,942,392,578,363,510,084,384,476,408,053,779,635,531,
460,741,957,075,441,958,108,754,780,429,827,065,948,046,331,342,123,916,790,
401,727,551,803,238,302,624,331,332,542,531,754,737,621,564,164,564,568,314,
164,194,775,960,525,666,812,168,092,920,833,411,051,353,792,288,913,891,735,
794,198,187,742,330,561,603,352,167,599,211,917,701,741,881,615,687,104,364,
132,986,599,762,816,774,360,465,337,872,204,848,017,268,727,046,722,845,405,
120,747,479,790,612,968,451,585,443,626,500,051,717,322,423,629,412,187,873,
404,404,884,054,179,665,503,089,318,832,345,736,905,425,808,204,329,539,503,
387,933,562,359,986,892,239,045,112,073,927,513,426,219,119,579,875,638,504,
308,801,809,324,612,132,196,016,711,835,529,233,450,837,450,778,377,682,014,
652,116,609,602,796,392,351,711,165,022,219,819,249,208,287,538,225,419,238,
751,609,339,078,976,760,654,826,186,500,250,429,854,020,878,267,484,654,162,
901,958,913,434,459,790,065,183,097,920,828,240,119,208,020,821,597,460,013,
118,080,382,444,534,682,079,251,031,122,869,944,722,646,498,824,426,078,954,
849,589,171,298,273,243,985,491,190,329,701,950,193,144,988,968,125,871,090,
743,245,236,030,452,071,099,336,202,353,891,888,845,837,188,952,862,239,443,
042,858,116,166,664,305,764,845,683,484,807,585,727,463,589,931,655,142,283,
462,849,023,138,125,570,830,092,871,414,567,164,926,379,491,990,709,220,303,
570,818,172,725,380,601,902,317,918,276,315,675,029,752,066,699,043,639,052,
827,594,404,517,689,406,508,781,358,100,784,084,049,840,165,834,330,375,282,
323,166,275,395,770,685,369,648,072,757,391,014,771,715,905,063,932,268,401,
736,535,748,320,713,930,160,974,569,762,709,166,127,726,757,859,261,372,323,
504,169,354,226,432,072,401,805,041,235,561,127,921,241,946,479,613,735,643,
704,153,321,868,024,337,197,841,506,349,050,352,257,324,648,697,253,510,529,
373,269,531,382,321,712,807,717,695,748,425,476,510,905,831,646,672,359,570,
393,962,033,680,689,681,253,492,279,723,034,081,723,190,698,251,576,918,873,
239,198,751,836,765,285,478,158,787,320,321,269,017,612,913,139,256,243,305,
462,287,122,218,994,877,658,090,335,935,036,351,019,337,111,477,917,583,873,
946,387,763,216,179,412,945,416,967,554,697,041,969,828,621,276,421,387,674,
684,197,300,733,679,729,520,605,382,049,032,942,103,906,814,567,478,078,024,
992,278,482,873,252,558,045,174,852,840,949,768,616,251,018,673,564,485,232,
838,128,656,571,798,650,538,027,495,769,796,948,736,880,339,470,660,691,649,
637,634,510,892,240,320,798,932,009,371,041,731,887,499,559,277,368,340,092,
666,411,473,418,272,850,031,817,517,740,947,329,303,798,116,408,984,464,063,
102,319,917,787,059,738,911,251,039,558,158,973,719,321,012,089,942,516,709,
274,397,607,617,997,135,976,306,931,260,314,953,964,132,028,179,983,711,198,
848,308,116,827,822,462,648,485,472,301,463,201,679,901,585,587,181,872,400,
175,839,807,607,490,014,990,179,643,803,509,466,600,955,487,855,127,403,863,
681,637,238,006,534,733,497,167,214,252,638,106,018,472,048,427,962,644,671,
104,355,201,074,500,856,573,620,023,427,275,641,665,307,345,943,102,081,289,
803,453,538,380,830,852,605,864,130,469,470,715,388,211,708,355,115,565,363,
057,927,851,519,205,970,305,005,576,686,742,491,984,219,340,661,435,917,391,
404,823,409,786,413,591,829,036,607,709,882,815,690,718,838,957,204,321,886,
413,890,843,737,339,796,016,855,143,203,399,276,725,149,971,445,470,769,602,
727,933,602,336,257,940,622,284,402,965,703,384,224,117,626,741,273,632,324,
886,281,186,961,470,504,341,164,543,666,775,465,468,081,535,642,202,476,079,
091,864,773,166,006,343,246,902,706,785,603,391,288,864,203,334,533,481,475,
567,971,611,430,983,413,804,829,941,850,606,549,617,580,598,594,106,871,768,
541,245,503,098,291,300,181,419,546,426,459,594,666,202,582,117,743,136,577,
816,153,426,771,993,808,001,703,204,524,229,930,185,826,287,288,446,956,112,
576,970,114,728,187,771,410,130,969,603,760,477,314,399,955,891,349,147,318,
641,702,817,718,970,469,846,438,699,753,719,470,092,904,569,688,499,606,227,
543,799,460,199,701,929,979,054,063,078,360,627,647,288,717,099,944,534,153,
605,805,543,633,594,028,639,604,112,545,391,420,986,936,652,640,378,933,216,
500,164,881,221,239,444,225,023,521,875,533,657,498,421,490,776,637,218,219,
004,097,964,505,058,344,894,812,193,310,724,506,666,810,578,120,244,180,560,
251,628,352,277,562,106,607,707,834,587,377,234,706,678,857,082,474,601,508,
536,623,708,236,505,386,007,511,159,918,769,584,381,079,398,271,205,578,625,
904,230,972,372,356,397,462,954,159,941,362,833,220,785,160,466,493,392,410,
823,347,889,575,865,900,227,973,055,697,433,134,843,635,977,894,311,973,283,
423,286,725,929,314,240,993,941,500,007,101,652,768,163,411,823,877,245,754,
403,821,240,542,579,625,348,124,908,293,665,150,402,283,024,701,661,059,055,
692,786,765,651,659,719,408,295,736,842,140,252,973,774,816,177,238,847,182,
033,573,034,489,873,456,849,155,398,653,649,608,411,690,057,509,953,748,632,
598,216,935,603,025,870,557,248,393,106,681,386,414,057,544,521,326,816,362,
642,352,329,744,540,349,283,131,497,236,878,431,369,144,900,195,905,120,644,
363,805,588,019,719,088,214,596,392,691,811,617,908,261,941,283,521,385,728,
400,713,972,382,019,649,262,146,028,324,369,236,538,727,933,612,781,797,798,
386,318,383,302,889,364,206,298,364,974,116,506,865,626,999,359,133,715,704,
987,549,110,665,544,379,384,196,609,776,413,674,644,476,070,276,918,686,772,
586,977,097,882,329,721,020,835,880,907,422,571,577,067,400,699,350,378,944,
906,534,102,773,562,228,595,055,004,062,527,620,618,476,904,781,898,248,629,
365,661,210,834,423,666,407,059,477,030,990,145,464,128,346,591,404,927,451,
918,758,752,149,753,450,564,464,222,611,058,690,170,136,374,806,780,696,413,
947,327,825,343,363,359,722,315,412,506,637,695,192,568,460,821,201,543,222,
411,810,124,686,804,143,825,469,833,331,261,657,522,977,386,868,530,508,109,
979,391,597,873,532,489,867,771,815,286,912,316,149,046,665,480,695,090,124,
209,117,442,392,617,655,520,486,779,870,841,384,157,719,545,588,931,827,715,
638,858,875,726,769,792,542,168,137,151,568,840,548,097,572,763,920,626,042,
046,836,833,316,562,039,219,863,343,238,898,916,767,305,882,410,486,898,582,
297,870,419,053,610,410,739,374,550,075,939,423,236,544,135,560,872,876,168,
311,585,228,705,215,586,517,709,973,075,810,290,689,610,897,085,937,006,507,
938,325,498,221,916,513,661,501,152,394,794,031,406,360,840,736,050,830,912,
402,105,722,342,433,126,460,729,866,467,842,689,520,184,806,520,199,420,452,
077,700,096,773,331,200,709,043,464,281,600,635,587,953,546,289,789,045,009,
159,344,458,993,649,830,818,455,626,007,571,213,473,951,664,060,994,535,810,
560,265,501,051,033,145,315,806,957,892,908,493,002,644,031,572,320,717,370,
027,653,748,288,203,947,038,306,896,699,117,429,916,266,776,827,639,551,930,
587,167,294,745,403,904,777,579,632,371,938,996,408,042,291,473,873,688,339,
574,927,892,241,890,415,011,540,681,630,794,041,019,056,722,881,090,233,933,
249,232,100,689,599,300,991,911,545,804,574,900,070,740,242,676,858,591,410,
217,562,851,199,263,641,147,095,717,538,994,880,142,042,870,409,840,196,883,
936,597,008,769,700,097,492,719,569,962,289,679,326,173,445,803,252,224,079,
111,706,767,439,814,211,157,832,913,940,071,850,343,487,593,589,314,840,469,
555,514,627,271,287,058,610,326,342,741,868,928,844,285,557,434,842,969,518,
071,127,456,220,335,727,984,666,610,019,688,351,393,113,147,426,048,571,290,
698,081,665,624,079,878,466,801,744,202,672,866,627,388,235,711,707,237,361,
586,354,790,317,938,928,595,158,032,091,382,119,984,357,231,905,325,429,243,
803,928,770,604,325,779,341,880,277,439,055,495,497,755,802,286,583,946,646,
090,344,915,962,403,197,845,461,366,611,649,820,975,048,120,939,618,005,430,
578,696,353,726,925,814,428,122,391,677,933,565,961,086,819,875,925,844,663,
832,841,961,909,170,561,825,524,272,539,123,409,692,244,670,852,936,819,873,
524,752,073,563,686,971,615,236,417,546,823,415,302,925,559,082,733,478,183,
546,567,151,420,619,471,839,286,811,612,126,814,494,280,845,307,918,692,326,
456,331,628,195,433,492,685,819,620,291,746,805,658,615,160,207,622,678,957,
334,019,521,395,376,627,168,085,591,390,288,390,223,187,850,487,966,156,225,
298,692,355,835,991,987,950,132,814,336,714,318,006,802,725,476,151,678,787,
083,108,559,456,523,646,693,918,751,817,904,045,681,660,457,338,337,793,415,
174,669,243,547,204,035,266,204,812,808,456,527,225,895,535,228,388,741,278,
515,274,132,766,747,127,825,727,549,503,949,789,612,591,748,464,149,800,938,
097,074,658,473,355,039,879,448,267,514,387,221,144,365,739,495,285,251,081,
686,640,353,667,609,286,040,729,625,774,356,781,504,611,958,725,887,209,855,
288,321,361,054,463,409,030,079,109,171,982,631,177,538,835,419,473,006,734,
078,859,354,251,383,697,531,348,962,130,265,766,611,374,399,683,131,992,932,
998,989,953,641,048,243,982,047,668,438,126,427,144,297,251,437,232,230,737,
500,178,019,633,816,160,504,412,512,841,283,978,378,994,785,359,585,928,597,
995,949,354,983,482,233,732,882,165,516,780,121,695,890,180,561,303,844,926,
347,574,363,177,647,939,157,551,015,155,868,426,755,864,579,159,780,064,984,
650,504,613,811,790,624,366,712,129,995,813,038,482,001,130,377,220,111,683,
407,757,254,545,954,436,373,078,018,866,586,379,019,415,824,503,917,949,419,
915,670,611,009,065,962,656,407,981,992,593,751,653,284,500,909,103,775,052,
844,250,744,492,588,053,099,960,187,115,506,829,092,963,848,876,590,066,131,
522,984,466,638,356,771,365,820,222,585,277,723,649,472,939,300,903,734,733,
355,570,063,344,876,608,840,177,172,252,164,097,553,562,498,490,206,124,487,
681,136,271,441,877,775,033,160,089,256,094,334,009,220,535,384,699,776,085,
658,171,483,354,551,560,257,869,204,919,098,196,641,133,674,223,408,368,522,
443,828,918,456,248,046,166,004,662,347,892,631,199,694,661,194,133,727,498,
457,269,052,161,541,579,122,686,095,562,524,078,172,777,655,053,099,027,016,
005,681,786,362,372,680,595,932,837,004,881,670,310,393,849,561,556,487,354,
014,836,874,817,334,688,614,996,815,669,517,088,578,973,396,586,065,220,349,
974,158,886,117,719,603,964,844,693,465,425,337,245,265,104,915,701,188,870,
944,493,780,251,449,053,911,091,946,045,428,053,581,245,006,293,894,154,737,
599,976,522,530,175,268,593,524,298,823,588,856,441,033,668,313,532,617,395,
616,466,216,395,953,047,214,992,493,138,275,996,605,189,320,391,573,700,032,
477,276,336,820,307,581,991,978,088,824,269,885,779,848,841,983,894,764,836,
651,807,989,525,372,016,431,845,289,202,336,741,380,193,425,434,185,997,053,
943,978,914,392,077,734,820,765,531,412,572,800,226,542,194,864,415,621,582,
649,828,120,537,299,886,541,892,387,964,011,218,785,878,762,162,293,142,978,
921,680,065,085,055,498,643,857,010,970,944,594,078,540,616,495,273,442,654,
094,771,139,781,142,948,138,005,462,011,505,200,880,546,972,876,363,486,499,
928,070,832,368,008,478,665,633,667,504,952,563,547,202,614,934,927,185,726,
899,487,251,879,656,689,577,038,841,819,161,385,534,132,962,199,314,291,144,
376,350,288,712,823,760,523,972,687,714,920,254,560,406,255,382,722,511,041,
627,913,561,690,259,171,917,999,806,701,253,873,338,650,162,265,683,669,282,
393,253,555,402,818,834,091,832,818,869,334,668,870,118,920,792,548,459,099,
265,031,401,772,024,241,344,877,712,148,493,606,133,018,616,905,142,569,994,
665,467,243,135,299,997,397,408,169,997,941,116,344,788,494,602,419,085,173,
955,068,096,715,751,056,264,874,508,946,159,135,729,856,820,544,178,559,933,
364,197,140,355,260,406,863,505,822,773,749,978,227,435,360,737,661,322,943,
025,268,008,991,688,029,414,979,864,979,186,592,561,719,145,487,636,976,878,
925,564,784,365,556,905,475,974,971,753,303,520,533,014,964,928,725,384,893,
362,904,537,530,562,279,741,357,934,432,962,508,297,590,074,714,109,361,735,
521,922,553,471,205,239,301,829,520,685,257,864,392,137,280,001,487,551,453,
635,555,984,449,714,127,578,564,609,592,661,528,910,762,950,962,438,263,342,
274,796,171,787,105,021,924,484,995,783,828,188,185,655,691,078,875,806,737,
906,933,231,360,617,832,499,807,764,132,643,643,697,589,798,311,827,339,360,
907,690,877,803,632,662,979,510,328,534,554,961,007,645,115,938,640,038,374,
081,674,914,829,180,122,789,952,182,752,328,580,408,715,618,047,076,688,330,
717,588,003,711,628,137,188,776,589,144,034,886,115,913,946,612,683,552,543,
292,619,755,667,381,843,781,851,957,441,501,880,168,914,117,854,115,873,315,
164,743,280,930,286,144,123,876,818,930,937,944,716,464,713,503,683,169,252,
528,374,386,941,952,477,344,624,533,591,514,524,838,500,069,858,457,706,796,
743,633,319,078,049,054,753,547,721,631,270,984,933,658,215,632,356,235,798,
669,359,476,092,703,969,111,771,298,244,844,358,263,373,192,367,473,958,451,
307,299,032,097,431,567,259,738,603,548,683,741,877,627,772,704,263,906,876,
825,840,888,308,708,852,190,488,883,022,814,628,990,200,090,392,891,110,082,
538,785,170,142,147,487,719,184,193,053,812,982,389,452,322,729,449,177,768,
962,402,770,045,063,461,517,196,466,675,877,747,316,405,300,675,406,566,239,
686,698,148,207,506,771,250,262,040,299,240,713,477,295,152,473,492,333,047,
029,309,349,200,656,769,863,161,366,115,908,948,863,062,349,998,083,925,822,
735,711,387,072,115,485,062,364,272,992,067,630,109,052,849,207,075,492,932,
640,774,471,962,791,261,882,984,352,539,462,211,026,196,892,028,153,618,748,
701,533,068,359,527,708,742,707,445,463,100,304,223,278,236,576,047,538,675,
646,854,692,693,475,495,033,433,480,689,731,441,162,255,065,270,612,710,659,
920,882,020,757,292,226,051,316,449,483,010,803,080,896,942,566,341,630,830,
479,479,015,292,028,220,070,681,153,545,146,061,445,880,971,333,495,958,875,
765,746,413,579,130,308,877,854,221,945,138,513,965,051,554,505,843,281,074,
670,896,406,381,565,257,002,959,308,673,956,822,028,640,039,702,271,256,084,
098,568,406,837,035,543,529,060,680,517,221,371,415,206,971,854,245,646,937,
637,563,083,369,850,043,825,040,453,077,095,469,293,717,870,769,077,708,886,
175,206,077,774,701,958,935,710,286,675,599,645,835,881,351,155,346,246,859,
641,340,872,023,272,605,300,882,629,966,936,114,949,039,287,945,532,724,394,
445,347,168,094,275,430,709,566,714,800,598,573,489,636,030,214,352,492,885,
170,068,522,929,373,377,797,852,013,337,977,772,663,861,470,386,387,979,579,
983,819,307,240,659,873,018,132,268,972,848,532,608,408,094,557,906,052,867,
721,478,003,409,566,892,023,010,461,146,257,684,342,378,180,216,594,718,025,
069,215,688,153,268,322,963,711,936,646,656,489,348,965,385,368,181,490,012,
770,434,388,366,610,480,153,337,713,234,752,374,808,990,015,848,172,728,666,
021,936,784,018,551,168,293,992,090,844,975,941,576,572,104,897,899,123,304,
646,866,255,328,066,474,946,417,788,448,154,472,202,596,657,709,966,775,277,
603,632,697,058,718,273,910,455,977,356,358,004,751,226,050,922,711,157,749,
626,159,984,106,274,414,745,048,410,521,766,873,321,857,342,971,584,281,174,
172,418,412,947,410,497,739,876,731,082,446,728,780,841,869,148,671,352,342,
502,065,721,728,112,990,503,030,783,690,190,636,197,148,294,496,132,389,693,
224,799,815,133,888,720,718,651,332,600,802,655,595,972,790,897,490,523,426,
354,622,625,273,124,693,687,920,517,067,895,385,573,988,213,490,781,134,746,
520,750,044,862,209,015,256,120,653,481,708,821,349,870,079,238,574,533,262,
873,616,701,043,035,976,382,203,986,433,957,026,135,186,158,990,454,732,218,
132,051,540,241,046,028,791,132,470,831,113,934,403,345,597,695,382,500,170,
269,176,573,049,491,884,073,276,292,179,074,180,597,568,517,389,519,589,349,
868,204,188,089,278,173,931,643,196,184,733,159,311,371,709,883,139,570,875,
555,676,447,413,941,701,997,093,494,539,209,006,811,344,598,484,253,263,296,
965,103,241,158,319,555,574,729,285,409,225,151,127,827,959,208,954,258,423,
216,135,401,973,550,191,448,826,141,030,645,207,603,234,182,235,925,879,964,
558,946,393,197,800,113,941,121,025,030,610,835,945,018,955,553,449,960,972,
194,926,735,300,664,118,825,939,912,489,173,514,201,491,954,504,193,965,819,
794,323,453,166,687,177,456,449,588,061,024,218,286,513,847,198,164,716,522,
564,996,520,869,453,267,635,659,027,648,991,247,580,217,549,836,706,434,945,
482,560,939,242,648,130,870,907,644,396,577,982,711,104,327,926,495,327,849,
346,385,210,571,936,429,117,658,431,140,284,060,062,239,543,873,176,466,053,
437,368,361,323,550,825,091,802,741,596,442,664,414,535,708,169,558,519,898,
343,401,707,112,725,363,611,078,622,826,609,953,553,022,037,528,160,624,864,
428,008,985,535,656,761,607,560,776,832,748,515,565,314,548,399,572,983,039,
554,345,086,529,946,807,663,508,452,912,462,246,271,982,083,322,134,372,559,
163,961,122,394,089,689,373,286,619,511,165,751,429,433,266,030,352,866,825,
303,569,985,295,320,322,703,293,291,168,993,410,818,980,013,338,564,450,593,
965,571,052,713,273,544,858,055,604,260,318,152,232,665,498,830,756,710,923,
275,636,955,324,897,938,798,910,631,338,936,373,404,771,990,483,079,275,464,
108,915,134,771,030,920,279,215,431,770,883,748,436,284,052,475,157,785,008,
039,233,737,306,856,801,050,580,868,767,490,597,595,293,575,277,149,055,356,
768,481,783,403,115,810,166,255,296,260,675,330,810,017,433,302,998,153,069,
895,670,914,166,081,756,398,533,526,920,258,621,468,082,525,899,592,472,183,
181,748,238,114,458,842,110,557,672,067,869,672,160,791,526,864,364,209,201,
489,889,339,029,260,081,097,889,544,439,898,131,258,943,633,385,491,716,062,
625,507,413,600,500,371,515,069,484,801,498,342,351,762,777,450,030,318,741,
064,208,981,155,314,781,091,968,627,994,303,418,199,368,996,802,071,240,229,
249,866,886,540,157,936,576,781,219,380,220,795,862,538,170,647,927,486,888,
346,072,294,888,419,421,738,353,977,531,283,291,192,547,384,759,415,317,250,
510,326,460,670,944,597,470,460,859,260,062,551,536,913,822,638,645,811,909,
973,511,908,488,928,875,421,260,763,610,514,529,976,359,967,302,274,179,042,
142,844,000,133,461,282,196,558,490,497,826,426,245,104,595,461,114,487,038,
388,809,988,537,541,611,801,515,777,017,383,435,021,127,366,314,424,725,088,
728,776,896,362,736,218,819,921,942,818,577,064,548,789,929,782,828,958,778,
024,511,667,811,011,416,722,245,207,753,055,591,727,353,252,382,776,950,930,
217,069,658,963,823,172,315,058,212,496,868,931,633,457,621,931,283,484,506,
050,629,648,530,385,417,691,695,109,531,473,433,516,867,093,993,179,007,372,
974,442,313,977,189,525,995,749,132,568,159,230,006,637,491,196,954,858,095,
877,907,234,492,240,349,745,490,024,804,987,355,885,496,332,656,852,152,820,
150,538,813,690,592,112,706,126,267,709,391,400,848,231,664,742,068,303,406,
964,646,524,192,319,750,575,145,194,201,904,301,455,960,680,290,030,628,243,
136,641,386,299,139,423,959,869,489,877,644,156,286,368,365,115,333,379,111,
120,094,375,086,251,032,654,685,456,812,106,174,221,817,434,051,410,378,438,
593,972,803,478,473,902,068,043,391,983,707,613,688,073,928,686,643,130,307,
143,423,358,100,601,539,920,185,616,329,913,054,930,406,996,338,634,676,970,
208,728,192,006,114,741,416,717,620,465,519,309,129,989,310,942,573,505,336,
632,437,985,186,420,722,156,556,460,969,183,009,462,683,591,106,516,682,340,
388,205,372,989,325,172,658,554,963,436,581,361,083,510,359,127,563,502,721,
646,459,010,079,462,776,002,299,011,710,018,441,546,782,301,309,355,645,418,
156,692,926,913,883,737,481,264,398,805,971,896,295,749,799,941,681,349,192,
098,973,947,676,296,901,464,420,443,353,456,246,632,073,221,604,793,893,354,
169,630,722,468,286,515,740,058,920,440,972,584,814,445,993,497,728,931,283,
899,149,896,122,854,990,662,663,833,837,717,311,105,742,431,652,924,459,011,
177,583,256,920,804,517,551,597,123,017,566,744,059,704,987,111,493,164,848,
001,257,633,519,762,730,026,500,023,728,153,971,866,915,006,127,854,424,811,
953,489,384,141,635,543,045,390,361,612,369,790,615,062,857,650,276,216,921,
070,504,735,479,935,197,876,836,434,673,179,205,565,174,403,818,095,020,940,
880,957,977,337,014,291,961,731,431,168,831,560,270,445,760,287,583,781,901,
521,179,655,949,097,657,501,473,254,765,905,888,288,184,355,377,274,888,778,
383,035,669,344,696,926,711,212,315,558,721,563,592,751,497,308,049,803,249,
336,060,419,689,416,834,662,900,261,737,577,295,026,984,164,943,581,208,557,
079,739,434,077,282,519,714,137,610,103,467,538,464,172,318,645,364,842,320,
503,494,411,922,177,051,408,332,543,116,992,895,162,997,195,391,463,142,131,
502,258,683,297,045,555,181,495,605,010,443,820,478,160,973,468,952,895,924,
165,999,732,696,375,886,027,201,311,452,380,107,088,674,572,157,519,372,429,
204,321,279,277,586,483,191,494,115,687,667,757,297,148,662,248,458,767,039,
099,715,674,980,323,582,912,815,361,467,318,157,840,834,044,332,976,769,845,
358,480,823,385,363,173,406,120,293,620,436,530,165,514,670,182,713,095,226,
943,236,427,823,380,822,618,470,037,047,673,644,857,528,963,070,443,556,063,
196,646,658,797,513,431,751,133,376,722,977,276,356,401,168,851,074,653,562,
359,245,054,306,510,843,215,399,179,372,481,490,592,312,751,001,944,674,013,
580,222,754,101,466,963,109,875,140,175,894,985,082,364,054,495,165,101,128,
299,557,487,931,231,509,830,594,061,538,111,966,512,978,131,404,008,191,777,
871,023,400,418,343,079,333,724,325,080,081,733,164,376,566,936,014,738,890,
819,041,014,317,371,397,453,242,051,451,289,273,716,337,127,874,002,201,843,
127,578,221,981,852,679,163,282,514,433,957,463,979,044,753,795,242,694,817,
010,755,011,127,120,273,804,805,312,941,506,781,797,012,998,568,456,356,323,
464,992,543,216,261,431,494,178,198,331,582,882,515,323,248,037,465,636,278,
115,911,433,407,036,347,496,160,275,836,453,251,661,963,086,825,993,577,974,
883,528,631,315,912,180,420,251,140,537,932,338,883,045,880,307,755,896,848,
227,855,929,832,728,439,883,929,374,762,166,071,316,286,918,863,026,087,528,
181,223,536,874,668,382,271,001,068,753,368,649,048,500,328,187,869,395,163,
516,194,758,428,169,484,362,047,148,852,752,052,537,868,904,399,914,210,784,
248,521,512,742,220,015,575,635,253,300,467,241,379,521,524,380,827,646,847,
185,773,257,500,793,252,479,479,176,786,503,036,318,530,715,843,787,490,326,
858,944,967,191,685,222,043,347,933,149,105,972,704,181,027,960,606,024,802,
293,316,984,517,994,875,931,924,073,389,180,579,840,280,225,446,086,433,529,
569,030,750,885,736,364,901,285,080,711,398,383,674,416,133,521,201,814,212,
062,316,262,849,920,082,582,599,594,415,937,205,451,787,167,952,841,258,623,
066,805,284,112,583,730,476,522,917,152,983,425,649,965,668,337,919,657,692,
113,857,118,714,001,272,197,359,907,060,603,109,759,073,790,107,978,719,616,
782,216,570,195,005,578,468,540,352,887,433,242,094,137,564,880,221,611,490,
214,816,229,794,630,069,615,344,781,741,355,085,662,232,421,038,671,339,331,
796,121,969,604,476,272,339,826,825,745,769,050,207,687,806,493,685,867,580,
233,147,152,881,723,705,435,195,960,781,130,928,002,726,008,778,666,240,338,
559,847,397,787,933,256,467,417,088,256,820,735,575,551,733,379,999,343,438,
986,024,473,843,506,069,497,044,588,652,307,300,930,686,784,055,749,771,978,
894,845,716,395,188,866,125,343,751,795,850,511,128,704,667,063,613,139,185,
782,458,257,464,795,755,324,464,082,990,136,010,007,643,295,324,019,115,528,
409,753,937,799,091,228,063,013,500,832,402,646,550,684,605,059,982,250,547,
708,523,158,491,597,744,067,698,575,035,641,078,220,434,921,153,266,676,804,
743,963,572,114,963,051,254,602,659,561,021,718,570,114,300,897,438,186,040,
229,454,548,769,931,531,736,003,730,468,653,848,226,722,426,416,253,924,294,
286,804,576,369,315,462,403,239,822,559,186,413,007,685,847,602,694,723,490,
128,030,559,322,397,975,504,971,834,137,949,521,287,079,718,562,235,675,167,
273,865,725,378,594,189,543,752,961,187,475,202,908,742,588,240,215,275,724,
883,188,260,405,743,289,736,788,939,191,499,108,719,476,915,734,421,513,029,
809,279,716,550,708,337,120,536,792,232,587,318,737,347,492,094,968,696,587,
770,727,924,156,593,204,778,386,424,742,455,180,109,750,331,584,319,995,487,
686,904,262,823,714,926,520,014,778,242,536,002,578,485,769,158,161,381,703,
551,922,333,744,695,819,676,756,386,658,806,159,355,111,519,573,982,998,995,
807,100,126,531,389,440,835,006,106,662,848,619,996,551,172,937,070,112,040,
223,395,227,527,840,274,449,469,149,594,606,981,292,350,233,317,603,318,074,
986,185,518,297,300,003,377,477,685,772,568,145,334,400,568,889,654,611,367,
765,502,112,419,102,039,179,288,516,315,117,461,771,515,325,428,966,049,503,
527,074,985,610,212,866,877,774,594,766,458,865,491,287,744,604,292,784,246,
429,254,195,305,187,206,458,138,571,229,129,900,760,387,199,714,066,598,052,
520,937,879,329,520,419,837,692,344,138,002,770,788,368,665,129,553,871,204,
137,073,275,949,401,667,276,881,936,232,985,194,624,013,613,535,110,754,583,
558,874,747,606,189,862,961,309,570,263,434,176,923,120,539,451,784,243,721,
302,755,142,806,976,771,473,499,767,826,756,436,393,036,470,587,016,519,749,
706,976,416,085,612,988,203,927,211,721,547,909,373,469,856,823,869,595,153,
805,040,413,665,791,180,685,654,903,481,994,551,088,021,929,316,281,010,455,
131,593,476,016,278,712,411,141,865,389,173,975,688,851,398,492,424,456,367,
506,914,513,116,512,367,264,253,249,948,403,891,346,124,627,517,697,587,824,
638,935,401,290,290,405,096,312,844,683,475,252,345,787,493,366,847,465,506,
990,162,393,130,681,586,536,262,147,044,653,710,002,213,323,541,361,835,340,
854,007,782,870,507,766,771,788,678,918,021,146,265,218,309,607,654,493,398,
792,205,077,606,271,797,232,601,993,663,153,424,126,661,846,236,500,740,088,
888,946,060,672,486,397,840,445,949,339,847,658,440,684,711,934,550,327,685,
802,549,571,987,224,639,969,074,883,330,017,113,602,954,626,361,753,631,438,
010,566,821,736,099,181,863,694,877,794,106,671,032,242,108,325,164,212,407,
156,320,155,968,710,358,162,394,594,476,115,906,812,019,231,222,113,534,684,
813,245,009,552,003,101,993,067,613,147,821,826,540,127,890,646,839,714,340,
857,192,987,021,588,351,338,925,814,581,672,689,765,899,834,803,300,342,293,
981,335,373,873,734,365,131,775,964,547,967,962,244,914,065,613,415,779,633,
224,106,991,997,970,523,638,086,063,750,529,508,231,918,728,791,365,569,991,
134,722,627,997,104,492,641,132,186,449,835,700,649,471,273,623,604,373,558,
391,449,634,538,767,655,455,874,093,557,001,623,796,440,739,929,925,219,796,
892,004,911,132,708,145,886,143,001,715,481,091,855,915,760,726,901,437,236,
146,035,556,447,210,333,518,737,291,870,363,874,792,251,068,729,945,310,915,
627,285,556,386,064,793,981,475,398,423,231,137,103,572,418,649,368,917,720,
737,930,631,325,771,945,234,927,100,599,503,886,324,231,158,478,323,402,499,
364,262,367,242,982,931,982,454,052,529,527,890,157,265,318,239,509,475,910,
471,914,897,041,464,538,249,306,004,871,178,655,581,464,536,412,116,429,014,
763,343,775,541,344,883,322,408,392,559,765,283,925,407,691,307,304,590,979,
311,054,690,110,965,604,682,169,878,344,715,681,275,880,607,773,221,861,207,
916,285,322,980,391,565,438,513,032,896,072,747,971,425,959,534,097,365,886,
190,401,800,944,192,627,541,610,188,250,875,397,630,995,119,113,206,627,214,
579,018,981,181,525,370,166,006,929,254,537,716,518,663,108,388,737,257,334,
384,754,640,697,276,986,845,351,262,605,976,070,428,171,158,027,288,457,272,
342,545,898,375,359,723,024,420,335,361,954,735,306,817,078,549,585,872,637,
485,277,268,300,247,804,106,543,431,751,121,285,722,074,915,264,322,671,305,
333,199,634,553,546,778,894,949,461,274,877,001,200,961,192,295,198,860,807,
517,423,591,669,414,005,138,757,462,848,446,062,611,075,450,495,119,686,798,
647,718,537,396,691,528,335,022,726,125,519,741,317,981,616,519,211,545,923,
394,470,835,067,430,557,968,099,127,638,712,087,867,521,594,402,474,500,069,
307,181,497,937,162,570,217,112,678,167,764,249,997,822,044,183,106,496,759,
173,675,593,574,399,035,133,160,809,291,415,324,080,264,769,665,865,449,686,
016,438,926,362,440,918,422,763,465,483,285,784,397,517,490,888,501,893,549,
948,839,956,839,785,605,566,494,368,128,288,239,499,761,884,647,421,526,375,
098,096,687,744,475,586,704,160,892,894,939,248,744,243,784,307,128,497,648,
541,286,766,127,461,367,682,404,783,996,657,726,849,943,889,673,593,425,151,
437,656,883,132,658,769,789,449,037,891,838,354,014,747,351,590,629,190,074,
776,700,753,345,795,025,337,165,786,598,289,408,865,588,717,792,326,411,276,
771,612,148,001,784,316,800,147,693,622,232,107,383,352,315,135,817,468,921,
317,461,888,261,670,801,648,933,229,948,520,299,483,128,456,390,939,772,190,
034,752,036,238,444,564,256,791,750,038,873,000,262,717,751,531,482,704,097,
642,077,869,326,354,119,858,046,971,289,849,750,106,572,458,804,070,508,180,
883,200,102,991,876,548,153,771,648,538,142,710,698,644,520,148,616,547,200,
273,814,577,754,481,940,062,318,033,452,794,767,996,612,941,114,961,109,409,
878,806,236,030,608,780,133,373,792,273,597,788,364,165,119,351,315,554,298,
952,868,136,184,896,521,076,296,471,887,634,358,814,796,374,924,304,473,756,
441,728,260,839,788,281,251,986,421,844,261,048,746,830,060,979,457,196,412,
714,070,295,863,514,073,272,910,508,592,358,214,324,077,254,454,700,176,268,
415,652,954,205,668,057,982,799,426,885,382,081,584,296,106,837,215,273,593,
925,789,550,308,924,074,655,666,155,395,870,015,354,898,996,768,793,396,996,
760,456,303,001,861,630,251,167,208,288,427,694,878,429,802,947,190,909,103,
281,152,116,233,478,219,546,640,427,231,828,369,130,780,506,615,560,292,113,
925,393,459,909,834,216,498,829,358,745,790,643,356,888,133,614,994,025,275,
085,211,686,041,320,892,478,238,086,906,146,746,232,955,285,690,846,086,395,
603,747,756,185,399,096,950,027,815,050,428,295,636,577,605,090,816,140,754,
902,756,814,206,534,612,151,298,766,281,043,404,975,892,592,072,362,579,090,
330,969,793,690,961,517,045,458,908,608,116,081,590,172,823,106,977,820,875,
221,296,711,152,558,895,631,126,874,276,215,539,951,424,101,162,454,607,417,
245,474,712,557,024,935,823,139,643,813,509,646,492,682,063,612,934,855,831,
954,466,847,668,090,084,385,955,537,707,370,184,271,178,216,948,907,930,807,
758,082,037,233,713,182,220,065,360,482,057,501,657,838,126,382,647,345,156,
220,383,351,151,160,883,721,343,825,419,755,137,382,714,561,083,573,542,235,
340,642,559,982,421,291,241,759,977,898,242,695,050,366,263,902,976,187,102,
847,955,088,908,760,724,263,708,399,460,803,202,708,573,500,888,195,837,723,
264,585,603,919,556,768,519,621,654,704,164,249,699,951,931,541,685,520,319,
765,180,384,812,207,724,986,261,972,404,024,642,893,345,055,325,077,144,504,
747,998,302,157,565,924,517,042,811,857,122,670,617,726,759,879,660,746,214,
509,386,806,907,093,761,322,133,264,372,844,390,155,757,477,484,767,623,597,
178,103,132,037,618,331,718,478,497,460,298,358,226,611,338,237,622,012,935,
449,530,597,832,134,386,543,435,102,428,810,434,356,565,543,869,280,339,080,
411,544,423,876,499,007,478,422,683,144,878,415,936,725,109,542,508,046,123,
332,536,832,283,555,206,877,612,623,182,941,750,586,488,713,848,984,702,533,
241,319,444,673,664,125,853,086,983,656,076,186,359,654,462,636,420,917,377,
550,550,333,379,278,441,302,187,246,960,193,406,769,202,114,069,472,211,779,
912,336,521,816,811,980,729,104,602,271,083,918,346,032,267,225,669,257,111,
491,123,626,933,344,287,153,748,708,445,233,417,004,873,419,948,382,546,030,
759,611,208,919,360,342,500,125,480,054,556,346,209,900,206,288,047,348,093,
077,195,003,621,816,834,612,611,533,676,762,753,013,146,918,121,176,790,541,
791,662,545,611,667,940,803,097,740,906,403,122,095,762,592,313,815,811,237,
521,712,646,643,581,767,729,056,714,412,797,194,014,730,449,671,440,106,676,
040,823,189,771,932,656,414,054,320,170,238,411,601,059,717,146,137,735,273,
379,783,140,873,627,542,688,796,921,395,234,018,671,057,746,914,188,521,955,
152,135,844,449,508,607,434,995,628,418,001,781,881,694,629,604,102,399,480,
246,131,315,308,520,319,140,253,770,452,908,657,195,842,671,619,470,471,118,
066,650,172,348,060,285,394,600,679,812,528,511,947,511,614,585,816,152,342,
278,693,559,480,505,943,035,955,585,601,647,620,317,578,267,886,892,667,155,
447,188,229,363,280,953,993,510,305,195,781,016,249,713,388,132,469,560,829,
187,353,309,587,890,636,241,030,418,438,038,337,218,085,238,171,731,654,941,
744,710,759,717,182,002,854,514,933,718,623,708,284,474,608,431,487,422,016,
191,680,523,970,933,194,932,682,892,093,838,107,440,794,884,795,060,022,594,
331,694,007,205,893,452,674,330,078,983,165,529,194,929,447,978,239,810,872,
013,260,400,334,488,752,376,398,084,988,565,150,870,069,954,652,173,149,273,
007,795,292,229,179,691,911,044,678,959,940,345,308,082,540,672,057,983,216,
467,638,448,746,565,276,636,907,862,405,834,327,664,900,855,489,412,655,886,
770,493,726,883,072,640,404,641,221,155,053,473,999,026,866,462,255,420,711,
021,260,443,995,576,950,799,959,317,632,661,811,292,764,232,672,071,542,041,
127,391,711,811,200,941,953,297,870,532,303,961,660,686,183,917,161,329,721,
295,736,283,022,627,671,421,775,307,691,671,354,380,724,297,631,301,921,362,
215,288,397,589,887,413,820,336,949,598,777,655,992,537,194,254,821,100,136,
728,254,211,130,305,892,020,330,558,857,630,337,464,786,784,958,730,965,968,
214,799,893,702,285,345,778,725,313,885,105,018,414,237,679,880,875,084,910,
460,172,266,100,859,795,894,125,954,186,936,065,381,582,553,946,875,072,462,
212,737,322,394,298,586,111,324,385,864,544,198,708,029,418,837,720,153,078,
659,623,260,549,324,627,528,372,015,296,134,822,569,116,659,495,106,514,511,
972,746,179,528,487,433,814,330,116,991,628,206,323,618,457,293,410,355,925,
437,181,432,416,037,017,542,629,283,493,211,654,717,533,237,498,493,707,613,
089,363,271,656,368,370,113,954,157,955,003,039,845,266,571,700,112,426,229,
988,644,230,249,113,376,944,948,450,509,207,519,312,995,809,172,648,750,867,
481,505,327,433,347,305,815,398,501,879,996,896,075,778,025,975,378,942,055,
497,708,504,866,802,474,654,221,967,810,273,341,746,520,917,038,475,638,013,
453,793,090,913,534,798,396,249,005,301,033,228,691,274,729,524,127,166,825,
636,595,324,158,568,650,515,980,024,561,647,330,574,118,369,493,926,497,578,
095,578,561,654,291,647,712,418,612,776,305,978,964,653,867,492,652,936,320,
423,808,062,684,934,633,014,754,584,898,788,599,579,275,833,345,735,455,202,
966,922,528,201,093,277,615,804,096,117,353,858,699,490,828,455,864,507,700,
480,017,088,468,943,513,785,354,293,071,692,361,815,920,511,484,538,110,676,
651,775,284,643,422,937,471,661,404,792,981,364,847,867,534,128,577,566,120,
234,256,988,859,670,434,325,876,439,448,025,838,959,798,203,206,667,742,812,
830,696,503,681,133,198,409,488,803,791,513,287,443,889,483,366,486,191,554,
694,699,311,336,645,733,491,650,323,535,377,815,268,407,896,604,876,969,437,
644,779,607,833,024,915,789,920,135,009,692,437,205,041,504,738,896,863,114,
906,711,516,737,634,507,793,523,791,307,699,651,374,051,368,311,591,590,960,
512,899,386,298,658,675,995,150,768,997,256,173,729,425,341,804,657,013,332,
680,425,689,142,280,281,660,818,176,389,768,864,275,033,649,329,199,852,429,
281,856,390,247,616,716,667,006,127,318,411,546,819,933,862,331,775,902,784,
318,854,042,688,914,043,115,470,978,111,037,486,249,057,385,806,051,909,322,
504,229,069,551,934,149,210,812,129,278,693,590,325,619,689,708,994,519,612,
062,315,033,205,519,219,900,217,095,101,311,829,159,593,560,978,777,080,490,
310,115,830,038,602,504,470,073,227,131,786,957,900,927,185,482,485,237,665,
000,036,827,362,151,995,773,168,950,602,956,277,936,809,103,856,949,450,909,
063,913,710,134,748,817,776,778,961,710,420,550,713,134,485,539,225,443,592,
287,431,673,640,292,003,930,911,326,396,113,252,657,344,028,878,587,154,117,
841,154,503,398,408,812,455,282,496,878,253,629,844,090,725,193,972,189,837,
405,762,542,591,290,141,732,272,020,382,542,165,292,424,564,233,018,630,329,
965,998,548,800,925,762,212,100,463,804,085,562,010,918,629,727,516,166,227,
690,490,705,083,300,789,055,317,253,211,594,504,762,899,336,186,218,588,609,
088,718,212,859,227,756,139,190,473,806,071,317,723,672,947,714,704,085,621,
234,820,333,276,616,876,800,755,591,653,261,258,095,814,454,490,684,900,343,
610,961,248,001,729,882,653,835,661,111,228,517,561,232,904,918,209,011,037,
101,720,817,584,970,799,254,016,014,952,025,210,577,348,589,564,492,611,098,
016,957,031,340,826,472,413,785,501,116,644,003,014,929,731,381,328,813,097,
301,816,664,429,923,613,810,376,004,917,207,558,798,072,559,756,317,347,382,
437,225,944,320,462,718,980,731,345,980,675,259,891,349,603,905,057,116,452,
983,895,557,120,707,298,881,773,031,651,080,427,526,477,993,546,623,027,389,
364,142,153,880,682,966,459,118,782,276,244,887,830,890,745,313,906,681,761,
757,654,754,304,242,160,599,900,221,937,454,830,755,855,199,886,864,645,773,
737,653,144,194,677,681,864,536,665,541,811,620,134,669,762,097,031,399,406,
421,278,553,617,573,081,234,582,943,850,157,053,187,061,504,177,693,881,050,
795,835,771,002,626,773,731,285,929,258,806,342,612,570,665,512,310,439,865,
625,624,670,299,088,649,122,386,079,957,838,067,533,246,570,526,336,137,777,
602,945,238,452,694,119,816,187,876,162,808,185,523,088,271,780,834,346,492,
722,247,779,797,860,745,336,889,156,332,021,901,111,392,730,448,648,012,822,
911,575,776,117,094,907,657,266,461,787,977,962,322,797,430,867,197,067,903,
945,657,573,613,873,302,434,914,649,371,618,592,314,724,972,602,784,245,888,
177,452,784,710,955,359,039,045,018,361,571,221,233,315,144,121,315,794,893,
104,859,178,656,959,123,387,778,853,427,919,402,522,164,342,373,398,119,913,
035,846,884,979,619,211,163,674,628,776,326,799,723,968,950,749,694,687,173,
033,189,873,207,491,633,590,061,270,156,072,983,204,430,536,383,852,621,453,
112,002,911,805,014,699,744,979,219,240,851,829,644,750,948,611,171,123,127,
548,034,401,249,559,805,485,200,562,178,666,025,372,455,269,033,319,812,231,
901,034,669,299,191,831,197,850,416,435,939,426,580,353,823,572,107,193,624,
417,101,925,052,136,139,475,157,004,474,808,441,055,710,723,573,022,362,160,
576,162,147,173,544,404,594,413,030,677,497,630,490,490,977,799,082,347,015,
554,301,296,331,537,061,044,168,990,214,622,773,167,501,635,428,736,209,487,
289,503,955,440,410,176,053,180,419,759,875,938,125,605,112,055,319,231,154,
201,136,271,234,932,791,004,553,730,354,369,902,587,288,663,484,326,850,081,
033,339,443,781,974,011,281,388,539,627,913,590,715,391,713,855,506,230,179,
482,829,884,184,326,861,063,105,506,630,648,134,550,041,500,378,090,612,809,
802,072,872,253,062,742,272,859,000,984,805,789,487,301,320,136,387,293,740,
237,989,911,900,648,881,330,417,545,974,291,756,092,808,750,801,136,552,933,
316,639,891,644,639,242,334,758,730,065,114,171,958,928,637,978,069,313,353,
412,905,735,912,856,327,080,357,053,975,905,226,064,384,258,983,159,565,963,
499,418,244,041,617,807,137,903,921,816,664,078,180,211,301,374,951,699,947,
356,968,962,736,441,153,664,583,558,276,964,902,430,540,602,155,569,843,747,
551,882,246,841,958,287,225,570,621,960,080,240,828,619,299,357,094,019,259,
248,524,825,098,617,190,277,254,667,558,667,352,705,321,430,803,399,621,811,
473,905,017,632,370,025,375,983,765,477,827,423,103,949,042,572,886,389,771,
426,769,810,104,295,778,024,862,057,673,045,608,620,208,539,017,339,406,908,
423,084,937,967,681,268,310,580,898,352,296,783,646,231,023,274,938,612,872,
424,723,730,348,779,087,831,358,978,025,110,908,089,132,899,481,491,120,437,
759,086,869,257,993,001,428,658,355,584,677,785,336,473,716,655,126,884,024,
482,800,890,891,618,558,871,284,704,499,119,313,765,248,631,712,202,965,542,
813,244,239,720,769,517,405,785,875,178,474,629,220,213,630,524,107,925,484,
985,907,148,195,053,156,817,250,926,318,829,001,787,150,158,561,849,146,086,
414,587,819,036,578,296,113,293,295,909,249,292,992,195,787,950,496,054,769,
293,215,926,124,678,597,407,150,946,436,136,983,720,119,991,802,907,245,911,
022,633,500,300,064,646,368,182,792,998,510,796,748,593,202,256,699,398,787,
977,585,339,155,133,143,274,994,791,597,478,879,179,720,538,109,542,515,802,
878,203,803,279,027,366,828,573,720,481,099,865,505,173,775,952,729,389,212,
759,594,463,237,504,301,843,671,587,123,266,435,215,280,548,172,710,472,288,
393,773,346,612,634,327,033,328,698,692,445,107,600,926,201,888,901,774,750,
586,441,028,565,907,956,756,161,715,361,295,670,156,798,889,065,849,061,962,
243,337,596,884,556,001,328,584,994,755,052,298,759,197,983,267,271,628,309,
255,730,853,009,765,570,536,753,573,901,171,031,184,255,065,637,430,742,536,
085,329,065,438,490,011,703,223,559,447,995,939,334,778,883,298,094,696,872,
970,151,129,870,931,864,484,759,142,049,196,223,002,467,784,490,304,077,852,
128,932,124,149,559,359,387,396,641,903,409,667,073,827,054,754,638,838,392,
508,764,096,439,803,238,424,530,657,357,042,202,143,242,818,884,582,729,836,
808,062,645,880,725,553,993,367,983,584,305,230,677,341,632,477,654,636,293,
211,270,395,587,425,331,836,533,257,681,714,736,713,004,831,107,018,138,575,
600,575,606,027,452,913,909,171,230,983,917,784,850,544,942,749,278,011,958,
366,480,525,595,554,911,063,988,423,203,887,714,374,951,123,364,775,829,638,
253,597,478,046,881,293,873,429,491,821,220,574,819,544,787,147,819,431,429,
796,431,702,515,320,602,808,803,658,611,587,870,189,132,191,796,809,321,835,
054,419,565,461,912,685,652,576,041,614,594,232,408,159,098,105,191,458,740,
948,496,408,947,250,022,484,319,999,997,075,430,545,475,425,191,342,408,779,
242,352,234,378,119,872,819,345,318,366,116,815,304,483,502,261,800,469,414,
260,012,763,598,043,135,343,824,223,401,561,742,423,779,597,158,985,731,289,
438,211,491,212,139,801,598,409,747,504,212,858,925,840,974,490,421,716,534,
666,588,334,167,804,526,727,748,170,891,396,599,391,526,840,620,603,421,949,
811,567,477,715,790,754,578,571,650,608,482,314,996,771,582,301,149,557,799,
144,806,082,836,898,377,164,551,535,783,906,290,035,306,089,055,626,997,959,
231,861,206,318,855,351,506,224,119,914,571,781,264,722,256,037,727,015,119,
937,764,736,828,603,976,175,287,048,815,948,791,494,272,545,490,011,010,320,
720,523,636,332,122,256,388,292,919,829,371,939,600,041,349,321,494,647,080,
212,644,015,011,328,422,207,228,003,353,996,780,872,204,265,706,472,548,909,
152,772,514,651,628,362,315,917,711,631,564,555,941,983,715,781,080,162,815,
726,376,547,144,135,324,848,114,422,145,003,163,581,171,131,514,841,967,709,
756,620,237,820,285,873,659,863,358,148,478,127,185,224,457,083,108,079,419,
234,694,918,943,618,945,627,807,718,743,836,523,825,878,080,549,787,193,567,
892,552,752,963,438,576,994,202,875,167,492,992,920,545,872,218,846,995,046,
959,955,118,658,652,994,716,847,031,102,064,225,500,249,978,269,304,445,868,
649,755,054,725,310,676,897,431,413,323,562,061,713,924,581,323,867,138,490,
818,292,777,581,642,831,967,516,415,923,244,901,800,132,818,205,845,634,717,
745,706,529,711,845,624,194,334,902,693,861,444,559,782,533,660,482,226,292,
574,830,761,874,911,664,458,126,620,847,221,868,900,917,491,791,002,162,639,
328,516,973,513,039,028,647,937,656,220,804,159,670,148,486,648,144,921,934,
696,427,384,818,250,072,897,603,845,062,660,739,693,402,369,217,878,379,757,
319,501,935,488,411,622,361,478,125,851,647,333,730,248,672,744,313,944,625,
515,428,607,706,290,411,391,067,605,462,755,739,857,029,545,290,591,490,252,
459,876,571,568,010,995,463,519,831,978,591,792,756,728,334,875,813,838,061,
553,119,574,359,946,224,144,534,996,215,296,718,091,607,488,209,681,679,567,
745,945,352,525,632,237,565,950,031,402,116,914,900,279,337,508,010,351,975,
235,395,088,705,724,181,209,581,417,938,246,783,654,501,768,834,128,674,073,
810,097,206,347,460,409,384,819,389,196,145,038,459,394,676,668,281,777,456,
026,259,865,290,570,436,037,362,470,796,421,766,866,452,298,289,312,912,797,
639,584,888,860,492,027,380,024,874,783,762,062,098,597,226,683,429,306,939,
020,683,978,350,746,588,342,915,382,562,157,600,349,786,912,207,403,290,426,
286,009,148,368,181,133,792,742,912,737,982,367,857,537,145,015,177,302,012,
307,874,820,845,777,741,617,832,099,340,156,911,669,765,670,818,590,685,529,
322,884,674,243,032,861,547,002,713,211,223,671,424,893,227,404,905,884,382,
467,484,051,935,435,152,869,400,136,568,170,899,189,021,512,903,125,880,032,
074,025,586,193,662,061,114,546,224,899,048,245,237,562,926,068,919,055,067,
903,532,797,856,786,318,456,917,478,458,113,694,816,519,843,894,837,935,470,
780,596,266,198,197,049,042,802,727,260,539,771,259,993,205,333,985,640,709,
844,411,092,106,500,898,125,172,797,097,459,337,740,584,738,750,231,358,123,
274,280,806,012,449,696,486,812,377,822,027,917,697,606,177,762,632,992,985,
686,813,003,942,127,600,690,141,816,842,824,989,922,599,284,413,308,530,601,
950,069,725,126,899,803,834,959,821,801,468,060,746,961,752,189,899,400,980,
376,300,678,040,634,335,274,110,205,502,088,349,791,415,161,142,027,356,968,
170,596,126,340,521,494,326,039,252,005,786,537,062,223,043,909,391,158,432,
244,485,702,938,542,759,440,629,857,066,215,194,748,665,913,978,334,174,007,
752,428,166,443,292,302,803,944,040,160,130,354,295,192,281,035,344,085,434,
980,589,066,139,596,359,928,292,898,928,895,090,969,779,036,359,685,400,673,
003,261,480,944,548,478,214,210,857,444,105,425,248,589,592,063,462,569,786,
296,089,602,302,157,672,763,968,791,009,195,123,902,389,979,552,646,996,528,
500,100,846,181,619,757,512,779,469,552,931,801,262,291,004,596,839,349,802,
514,582,699,089,282,258,349,505,816,555,481,480,535,917,755,238,303,288,030,
537,558,855,452,216,502,778,274,977,797,347,334,502,732,657,925,240,394,405,
792,621,156,173,292,660,713,617,039,818,316,413,929,563,074,896,004,571,980,
565,756,571,776,095,460,161,831,813,248,053,841,006,714,225,960,358,293,199,
473,604,574,858,295,476,593,224,749,175,682,305,184,250,925,077,786,121,381,
012,364,208,974,992,160,303,659,102,493,241,760,368,311,646,112,760,952,725,
059,315,434,975,900,136,238,625,736,307,926,172,871,819,622,328,932,104,969,
343,630,336,362,483,665,989,793,428,950,516,881,594,602,073,195,917,682,407,
669,992,676,496,840,771,070,679,705,395,021,976,351,668,206,349,432,835,913,
502,342,754,741,916,528,277,124,809,766,533,303,230,372,950,671,329,099,797,
256,886,210,348,139,676,536,029,003,506,445,003,213,117,903,547,779,225,289,
331,061,655,376,033,954,983,002,905,713,635,463,044,533,257,172,065,648,553,
846,102,736,993,971,555,058,206,917,965,145,024,768,552,280,701,052,466,199,
129,919,341,712,344,206,379,820,455,338,456,117,417,365,982,634,122,583,850,
752,416,010,726,086,445,914,785,343,703,252,211,351,331,654,504,499,542,335,
047,180,485,948,640,082,875,571,792,565,886,819,935,869,453,823,440,560,749,
139,011,582,506,303,311,732,562,534,460,615,584,057,284,965,126,568,237,298,
350,228,014,179,502,022,133,064,173,257,734,364,162,016,423,395,010,353,079,
330,970,569,192,532,239,620,706,406,427,607,359,233,766,779,705,541,481,569,
632,206,707,246,247,836,969,101,040,269,401,875,756,400,409,682,638,257,945,
415,084,148,918,612,501,960,271,392,935,539,435,735,270,735,219,916,589,191,
941,571,808,381,711,591,813,304,340,232,713,249,465,328,153,576,242,413,020,
451,688,186,518,138,992,505,522,563,990,992,359,938,590,518,953,640,047,720,
156,109,852,819,567,446,377,922,886,605,529,750,996,744,940,670,655,791,745,
174,685,574,270,252,414,199,133,749,470,964,154,590,766,777,399,471,072,811,
560,797,865,975,535,259,334,886,304,727,076,765,552,668,869,682,565,122,469,
818,106,042,304,551,999,816,309,568,349,241,929,978,070,716,625,990,166,122,
135,852,062,841,320,915,115,898,971,077,366,667,503,966,700,273,433,399,083,
542,628,726,323,510,046,087,793,202,377,349,267,020,588,512,775,238,036,648,
190,282,164,379,156,597,477,106,411,343,710,931,577,849,251,851,383,090,234,
418,058,190,790,611,609,080,718,003,788,988,731,277,463,537,872,360,520,282,
307,247,464,474,481,591,426,292,246,587,445,047,615,184,810,515,550,619,992,
667,394,663,322,951,294,370,580,364,827,402,301,351,778,628,021,398,708,396,
894,646,974,253,174,087,363,564,835,817,250,780,366,983,394,616,707,207,453,
900,886,024,812,198,740,596,670,658,542,077,723,225,685,829,971,064,787,480,
157,615,137,570,806,009,355,430,744,276,904,299,490,678,241,434,566,122,394,
241,621,438,813,434,102,192,312,734,662,353,368,752,674,108,944,846,792,798,
652,638,575,789,474,715,464,698,018,663,924,535,335,191,613,460,351,677,735,
044,388,353,784,851,296,876,115,140,323,861,717,725,778,658,079,564,407,078,
447,198,499,299,672,745,869,639,415,278,636,010,002,183,142,962,650,593,593,
660,958,853,971,124,272,481,529,204,904,423,588,040,248,798,509,171,392,631,
399,571,237,083,260,552,898,844,733,549,542,446,397,153,293,499,404,478,835,
832,586,102,601,683,037,023,818,844,158,582,557,186,530,067,271,081,679,919,
293,358,325,971,330,482,002,767,747,364,053,202,945,206,142,913,858,844,066,
232,082,977,508,682,442,429,063,603,120,964,664,338,463,158,015,904,157,121,
878,252,345,245,074,678,881,609,368,087,724,088,850,541,861,106,202,063,911,
621,835,926,139,298,973,617,550,584,061,517,870,757,524,000,308,022,804,946,
141,129,881,549,148,675,992,365,374,532,847,623,674,924,804,231,495,773,531,
464,114,725,775,712,124,813,414,704,648,908,939,049,719,625,198,460,940,729,
363,401,704,926,056,516,149,273,761,699,982,636,262,236,542,957,809,277,783,
148,455,572,872,190,236,691,353,428,565,305,932,932,680,716,949,298,444,899,
075,856,854,032,443,107,852,539,952,785,596,097,966,869,048,725,789,268,687,
245,508,619,039,655,526,752,363,699,221,129,168,445,243,305,987,475,269,156,
274,806,989,658,126,465,633,603,764,917,968,617,328,249,831,095,629,449,243,
299,205,333,485,148,854,196,724,543,078,136,718,717,678,099,697,133,212,959,
670,387,530,172,527,897,054,475,718,616,384,606,992,357,065,739,645,889,339,
588,247,823,662,808,980,926,748,127,457,970,142,083,930,596,763,497,667,872,
195,756,412,618,882,567,800,019,593,798,545,304,655,692,283,244,007,854,276,
453,693,981,030,533,141,620,595,106,166,354,799,349,101,576,937,789,415,925,
092,391,158,046,793,920,671,939,274,693,794,741,270,866,918,079,274,236,802,
283,503,875,586,235,932,558,753,274,286,423,188,844,220,116,799,632,258,840,
575,372,083,233,360,501,198,293,435,472,517,550,367,095,746,341,757,594,036,
266,568,018,531,292,788,218,061,925,022,677,437,163,136,441,675,989,420,667,
187,783,789,790,622,557,813,463,916,540,354,505,812,650,263,638,369,871,168,
247,510,000,258,897,173,615,960,521,702,868,444,098,072,016,220,736,314,450,
243,785,847,848,426,951,057,838,389,322,336,043,281,099,367,615,405,284,976,
530,947,058,619,750,989,041,895,799,560,630,660,890,719,361,575,889,647,499,
736,927,364,507,443,256,499,688,218,974,602,005,541,567,884,275,675,503,552,
124,810,888,927,912,175,506,672,308,146,506,136,610,495,892,007,444,840,831,
539,524,044,341,604,215,291,091,972,542,776,476,699,562,367,439,159,423,465,
916,041,017,967,864,981,313,889,361,270,851,393,475,282,636,798,161,061,581,
931,922,793,865,299,451,505,334,730,168,043,796,232,427,824,171,014,217,306,
118,862,221,378,104,650,802,870,649,770,013,092,309,386,856,597,377,183,383,
919,454,049,048,338,566,389,665,886,721,222,241,595,509,756,780,335,594,040,
717,409,085,424,068,397,933,478,030,561,348,900,419,372,253,116,929,528,530,
870,545,302,162,771,633,149,067,868,428,241,312,179,426,274,188,132,452,955,
979,745,910,980,732,022,450,122,677,426,738,797,398,711,474,638,376,968,289,
090,542,204,010,621,867,539,610,978,252,871,504,647,161,431,380,430,285,789,
682,750,364,765,670,153,560,591,699,679,791,628,217,518,103,677,532,739,315,
529,633,175,968,193,564,448,260,952,999,304,145,969,990,300,952,210,173,675,
505,880,048,863,800,730,887,798,426,920,512,837,885,903,687,890,181,790,747,
576,191,159,412,411,244,099,292,114,356,868,595,515,712,138,240,960,643,782,
008,785,180,387,482,324,189,413,647,713,530,728,863,841,136,738,121,767,046,
222,973,972,747,757,551,218,717,357,350,072,313,745,171,429,130,316,813,148,
052,001,377,270,494,111,364,376,432,505,165,762,765,014,142,201,100,930,166,
026,673,276,196,412,720,805,204,070,246,644,048,892,503,148,615,169,035,218,
111,299,156,271,608,851,087,238,613,214,059,628,599,660,418,222,084,016,338,
169,611,209,613,906,022,975,857,308,080,602,547,974,923,652,333,650,313,056,
575,844,458,601,517,929,679,322,112,244,757,158,865,664,132,412,894,512,722,
188,300,681,567,128,308,054,835,269,510,960,974,820,836,713,757,274,870,006,
646,680,136,764,383,767,509,043,478,814,921,955,591,254,180,973,495,843,683,
208,040,505,893,879,956,732,277,439,205,408,526,977,811,460,256,108,550,493,
708,958,434,085,806,589,279,755,821,253,868,762,716,934,918,997,554,145,173,
463,187,901,295,623,600,715,801,786,623,105,256,997,744,465,752,647,775,841,
899,697,320,592,946,220,170,236,993,968,681,918,067,478,207,021,513,718,063,
650,488,177,327,071,874,955,638,744,108,271,036,133,379,578,542,327,945,967,
307,276,956,685,601,706,639,021,021,655,446,809,338,295,904,978,112,255,500,
994,658,214,023,485,384,870,727,825,015,165,768,177,803,826,327,009,477,215,
102,726,851,548,116,006,837,934,711,698,947,559,813,222,953,996,984,940,648,
424,638,975,884,799,053,887,771,619,083,514,922,491,845,005,104,913,900,136,
488,278,551,245,189,841,101,294,132,218,221,359,111,124,038,248,378,104,032,
799,853,175,497,632,889,481,093,555,441,120,324,135,879,532,162,309,794,705,
450,361,466,392,584,028,818,645,984,931,679,658,626,774,129,603,851,748,262,
986,011,334,863,557,497,415,904,099,688,445,117,698,905,835,445,175,638,053,
960,562,814,849,939,275,993,540,462,317,464,969,886,792,292,814,434,477,315,
152,184,353,630,383,793,018,599,320,033,280,683,881,181,990,482,132,893,308,
119,352,140,724,260,672,833,430,056,657,241,932,569,026,408,310,222,812,116,
313,067,596,303,503,891,356,478,051,729,147,273,135,992,850,909,850,384,566,
272,375,927,724,136,384,964,112,280,973,394,984,400,441,084,978,182,669,453,
249,021,235,972,780,792,923,396,770,989,355,229,105,545,652,327,089,173,352,
557,568,344,453,631,150,483,275,369,801,743,897,168,983,233,071,878,046,419,
308,335,756,825,463,519,282,985,324,580,468,369,120,746,830,256,988,828,336,
464,322,200,361,952,797,208,123,601,573,449,896,616,661,095,450,771,498,697,
751,419,200,106,544,107,305,490,654,257,943,127,500,714,591,845,060,055,949,
232,194,594,577,775,813,019,881,307,867,213,518,905,590,477,016,679,889,528,
907,978,915,777,127,387,358,058,356,680,859,272,274,315,707,800,483,159,284,
277,581,077,727,997,078,785,533,111,224,825,640,071,879,350,630,004,490,527,
579,869,711,203,832,798,880,741,826,633,427,202,951,032,853,168,490,959,794,
360,375,971,689,012,976,364,678,188,442,891,514,176,135,927,435,748,449,552,
916,753,130,378,351,486,567,052,184,697,908,897,823,364,733,559,564,752,698,
259,995,608,813,030,018,927,703,859,158,986,910,029,749,687,961,830,879,222,
726,204,397,149,690,718,086,382,747,965,523,657,130,208,124,464,038,624,328,
960,520,211,425,604,329,852,140,061,684,926,919,515,204,473,896,198,562,764,
961,494,361,438,920,831,103,774,557,662,340,162,270,910,275,268,696,847,222,
791,678,176,564,642,724,437,850,551,847,555,255,820,219,418,342,195,153,665,
054,535,218,023,772,228,818,148,503,463,921,824,726,628,080,295,393,626,609,
258,702,518,669,903,113,574,043,124,178,050,470,974,592,564,491,611,822,578,
519,122,661,974,707,021,082,791,064,442,289,872,732,837,147,875,157,283,279,
659,647,530,106,562,835,180,527,350,549,637,783,803,611,296,916,152,598,071,
677,967,073,879,540,518,836,826,037,120,696,163,401,239,318,272,210,977,221,
498,933,009,972,596,050,331,193,808,934,077,841,210,249,267,504,840,272,159,
475,848,201,741,572,298,251,461,666,796,854,752,835,554,041,247,278,482,179,
776,973,781,537,589,585,494,555,195,847,431,335,921,683,509,135,028,066,580,
689,933,337,794,943,498,440,586,266,909,158,928,597,661,538,878,198,971,741,
942,738,755,341,229,433,714,135,228,823,480,947,972,135,732,236,792,788,366,
243,450,851,951,970,218,243,640,992,406,936,734,474,739,371,589,513,205,193,
637,565,470,620,261,886,806,825,518,610,528,664,219,434,096,923,635,426,146,
264,584,990,365,053,099,684,898,857,453,046,593,811,204,263,444,253,553,974,
911,601,934,081,820,760,505,824,327,199,197,450,360,453,694,155,453,409,721,
322,575,462,218,418,096,143,339,825,649,115,753,828,509,240,775,806,158,252,
526,155,037,062,049,021,004,218,663,104,258,640,266,275,470,464,835,526,390,
504,324,440,197,637,187,498,946,662,717,181,874,261,543,927,124,790,964,652,
223,783,531,546,955,640,849,856,301,754,046,314,430,129,443,236,857,192,607,
927,630,774,960,560,306,702,942,496,179,317,797,945,963,908,467,585,202,665,
400,246,913,809,002,053,137,079,031,427,791,659,610,684,161,519,458,905,543,
209,876,307,828,827,943,364,626,912,159,641,866,983,793,573,729,796,761,827,
753,209,740,910,320,195,524,206,046,567,375,489,418,552,992,918,068,736,969,
893,992,498,849,859,830,225,043,293,611,398,794,702,826,441,060,328,069,544,
173,208,030,870,378,520,435,222,069,507,135,590,884,372,426,552,977,115,664,
472,578,232,781,741,661,520,298,821,728,063,210,790,895,219,687,327,192,917,
105,707,453,241,193,020,567,848,258,226,333,417,221,485,522,581,129,411,915,
668,410,895,746,511,051,242,190,356,291,845,627,511,325,163,148,889,271,168,
075,700,683,422,043,124,683,409,486,701,318,668,204,305,999,839,617,391,738,
256,359,289,194,057,066,757,197,329,994,410,035,018,284,609,959,485,292,712,
018,292,504,211,357,741,328,326,483,413,851,554,453,702,378,026,438,433,817,
449,104,745,661,508,692,633,815,641,223,481,656,446,987,637,821,122,867,509,
301,730,296,005,357,749,122,605,850,374,910,256,005,141,980,208,432,451,434,
454,647,686,518,479,843,503,585,819,493,536,719,642,866,337,284,569,630,680,
860,539,634,898,887,032,492,609,271,661,042,930,136,753,265,749,173,922,392,
699,126,030,561,204,240,032,369,707,306,027,637,658,402,792,292,096,456,020,
645,432,668,512,686,164,534,443,787,296,390,596,573,629,959,408,445,814,825,
790,583,143,223,134,567,525,673,768,671,609,620,981,349,829,090,049,844,128,
126,111,635,158,019,227,609,024,169,216,928,133,639,831,198,784,580,269,602,
449,706,671,803,131,938,650,767,614,246,907,764,657,953,680,897,749,616,828,
170,286,554,866,012,877,911,486,523,432,541,707,186,326,691,040,549,273,367,
067,291,465,894,564,807,266,159,748,758,153,693,259,570,686,471,994,514,024,
633,753,637,673,916,254,274,069,661,619,133,298,817,089,613,025,802,109,538,
248,315,795,133,958,914,048,561,561,079,676,355,460,610,949,448,720,518,115,
976,285,478,925,690,874,158,161,254,416,810,697,251,678,388,823,818,824,321,
870,390,736,120,073,373,151,562,502,901,084,490,468,248,133,361,639,302,643,
319,407,606,960,688,447,193,671,438,559,607,732,428,993,435,943,219,786,267,
538,691,829,682,819,312,209,716,555,287,406,002,051,549,271,341,917,348,756,
883,577,742,655,942,382,740,431,409,342,840,117,412,652,020,755,400,806,628,
751,823,072,548,661,897,193,036,321,108,870,025,975,489,154,320,112,073,506,
198,153,882,032,657,840,233,224,726,375,086,270,753,509,493,063,549,345,870,
664,081,951,048,535,601,396,403,651,213,746,932,104,727,681,009,782,881,620,
318,537,253,274,440,989,713,775,579,854,081,532,015,240,591,966,613,281,963,
371,601,642,841,259,697,581,483,289,523,162,068,520,898,658,866,084,470,776,
026,208,350,985,720,193,053,937,841,969,557,388,421,563,484,143,600,412,107,
595,961,580,336,518,673,617,260,801,915,940,997,306,734,412,912,052,001,171,
306,783,904,178,782,990,569,037,689,586,615,417,305,032,266,480,054,388,391,
366,558,244,533,860,608,127,684,074,065,174,920,674,766,980,064,069,878,595,
846,081,508,011,713,438,541,436,299,400,634,562,123,634,922,728,557,631,562,
581,435,249,660,627,519,215,129,690,922,024,005,850,079,693,828,577,126,827,
597,218,539,527,036,012,899,522,591,673,548,657,553,368,840,079,750,124,982,
986,456,974,367,153,688,619,666,794,035,882,716,827,940,694,915,251,068,637,
339,728,269,327,666,309,366,972,243,310,313,028,691,477,931,883,628,940,026,
832,186,501,493,513,725,747,065,480,528,481,848,772,998,869,638,868,465,728,
253,637,731,312,138,633,340,782,156,056,261,552,375,880,138,711,991,663,826,
708,630,445,778,250,436,521,873,306,657,586,159,648,500,392,875,959,115,847,
791,941,167,729,265,256,249,472,307,701,681,165,779,175,229,224,036,444,382,
945,062,403,634,181,802,805,535,412,423,189,456,807,886,282,714,259,130,998,
797,410,512,444,715,751,567,065,717,815,646,153,030,595,069,026,060,828,663,
743,438,583,020,215,016,979,416,195,269,953,762,491,913,713,321,881,062,034,
292,381,406,797,723,047,478,918,291,921,005,914,369,286,301,451,741,104,883,
840,532,360,183,477,789,917,957,111,306,660,759,072,154,496,564,044,489,077,
938,567,241,400,197,128,119,357,442,991,099,959,545,544,290,491,172,149,948,
960,453,531,346,392,007,316,518,240,568,563,788,497,517,969,837,839,487,132,
664,285,846,004,371,893,385,044,070,432,058,656,749,490,011,689,413,341,822,
498,737,604,663,583,417,631,728,999,249,170,728,799,210,956,244,147,845,018,
509,083,414,409,696,014,651,663,623,873,033,873,175,806,023,206,796,066,490,
437,142,230,664,659,836,690,325,376,855,303,533,253,592,083,370,898,809,362,
563,653,582,411,763,096,900,898,366,466,995,148,139,506,184,006,832,766,935,
195,610,644,508,490,466,031,808,678,603,483,528,459,238,119,156,650,538,599,
393,354,478,305,462,167,453,709,699,216,369,940,911,036,701,356,244,756,647,
485,262,058,619,482,037,806,766,850,657,507,442,322,600,004,174,404,596,746,
289,370,837,208,055,816,550,503,514,349,939,770,587,636,541,912,078,337,247,
292,577,669,355,344,361,537,686,758,918,654,367,311,023,116,885,640,818,475,
928,519,830,378,904,225,287,222,698,389,426,656,353,409,080,262,338,051,332,
811,312,505,786,164,831,678,826,202,572,930,966,749,014,989,990,748,402,852,
021,321,191,104,634,598,480,563,789,737,732,767,209,330,328,351,701,851,398,
724,539,068,348,473,316,022,055,179,814,242,304,130,914,118,130,514,667,659,
115,888,865,877,320,182,555,683,088,116,810,883,458,263,881,462,898,303,852,
541,892,151,355,338,759,737,921,816,262,553,931,480,540,609,860,274,814,759,
671,089,851,516,582,618,094,798,425,572,970,495,890,245,015,901,230,849,533,
273,085,275,272,673,392,342,733,630,793,152,673,921,572,768,853,168,942,751,
250,616,701,559,673,890,190,969,316,317,874,396,912,736,329,674,356,556,872,
437,439,246,741,403,754,415,910,798,533,269,791,231,731,932,391,110,968,311,
077,692,002,486,002,608,086,492,961,835,662,542,061,381,781,573,617,941,437,
567,065,287,028,979,965,476,395,267,168,501,867,566,883,141,358,261,271,735,
763,436,314,688,548,359,582,649,404,419,143,579,467,277,595,292,787,676,127,
441,208,444,461,544,346,337,974,653,378,581,081,133,678,661,470,461,381,966,
864,015,223,787,627,424,922,344,674,092,051,493,741,925,018,546,740,087,544,
445,981,870,524,567,348,895,811,019,994,016,904,612,430,764,323,726,028,022,
502,786,569,430,180,673,132,861,111,055,741,026,106,469,038,581,232,641,354,
169,638,077,705,371,006,003,660,857,731,748,547,125,587,608,906,969,640,524,
721,784,534,052,719,906,010,756,345,115,639,502,945,223,241,919,783,053,043,
657,251,725,270,607,057,878,841,152,772,326,264,825,059,798,344,899,614,165,
962,095,117,785,473,165,990,587,526,489,033,740,674,563,372,739,803,705,166,
067,600,929,409,181,552,580,059,262,879,022,579,671,831,531,616,327,455,724,
713,674,467,230,546,075,546,188,534,164,386,736,064,255,401,748,831,677,746,
815,785,183,267,280,060,170,271,953,146,192,717,205,300,061,045,602,361,315,
742,519,953,262,860,541,251,819,473,673,021,306,322,521,223,286,177,082,413,
152,602,321,769,169,802,985,361,832,723,198,841,072,870,090,682,600,616,522,
072,430,126,243,999,814,797,807,409,245,394,057,779,669,075,580,125,149,685,
233,316,490,021,700,311,091,956,043,807,580,990,262,661,338,336,700,144,938,
093,773,951,223,749,743,786,170,644,594,530,410,904,573,677,283,168,543,467,
585,566,412,835,187,686,476,907,021,175,602,223,516,909,950,376,466,300,214,
089,556,998,087,863,619,587,829,635,448,389,211,613,968,616,705,602,583,544,
872,675,319,509,764,369,744,450,681,602,038,871,323,786,767,147,655,095,966,
111,418,593,624,655,278,364,954,811,728,338,507,062,276,417,039,854,624,137,
070,513,803,470,560,652,204,900,420,383,154,286,064,043,464,574,536,672,509,
935,737,408,221,702,445,833,769,252,964,732,304,176,027,912,624,885,143,045,
909,881,968,904,836,322,248,157,901,461,440,797,094,733,093,452,858,722,830,
023,580,622,687,219,293,241,053,412,267,861,999,906,691,014,351,586,523,216,
134,010,005,955,157,888,650,823,776,190,359,591,421,684,345,542,707,505,106,
905,233,248,912,877,633,655,411,901,120,518,333,137,291,309,710,405,096,555,
658,430,297,774,137,621,610,055,479,617,688,105,531,639,217,938,203,507,656,
303,765,550,258,699,851,198,855,211,244,569,261,877,682,547,063,868,705,480,
245,686,589,238,183,455,623,327,293,178,548,526,010,776,110,133,001,309,551,
342,984,312,819,842,928,180,361,702,663,835,761,291,402,263,422,241,031,239,
339,109,493,990,348,746,776,227,927,402,665,211,842,993,428,892,521,204,125,
104,152,540,121,855,069,693,503,089,828,722,864,390,132,230,986,170,488,217,
655,014,809,947,931,434,006,849,311,231,353,319,358,739,494,982,261,106,254,
744,106,439,185,774,446,778,487,330,740,459,345,507,921,521,741,504,123,158,
478,145,246,383,298,121,654,990,264,419,221,492,326,445,943,897,484,968,026,
799,904,781,274,904,574,414,879,635,326,376,229,452,241,034,222,484,479,039,
320,086,701,313,846,778,672,812,438,319,943,233,782,644,612,450,744,763,503,
179,157,857,193,203,533,904,736,668,580,006,002,206,167,340,645,982,649,184,
345,534,500,468,462,999,253,290,806,311,270,461,030,204,810,885,409,374,610,
346,347,432,889,283,769,499,663,310,475,441,291,102,203,030,554,410,554,543,
493,526,504,797,586,633,227,925,955,622,592,113,267,970,432,798,270,252,531,
618,879,637,529,948,071,823,885,227,164,416,263,752,472,904,969,490,192,869,
349,111,859,909,303,875,301,196,052,579,654,587,303,271,130,418,412,623,014,
539,317,812,973,025,917,413,511,627,565,879,575,449,309,752,454,766,928,851,
003,615,729,758,845,029,884,446,335,532,593,132,767,761,148,023,652,719,165,
617,600,563,207,884,780,778,595,436,576,980,318,618,231,632,956,655,253,256,
055,006,084,416,230,717,383,781,722,788,098,471,400,669,927,333,312,725,288,
802,226,825,702,671,834,546,958,251,107,568,117,727,637,598,097,794,395,312,
463,630,131,869,180,111,498,193,608,697,953,480,506,751,451,181,298,598,113,
380,507,418,688,573,278,715,429,131,988,014,868,380,982,077,909,423,188,421,
989,830,121,593,205,647,140,473,225,173,252,652,942,914,752,517,321,771,288,
064,971,207,602,388,519,742,502,664,524,341,361,721,400,854,533,419,590,772,
143,460,814,782,700,330,195,006,546,470,435,303,776,290,370,939,054,759,604,
511,725,757,126,520,900,871,573,660,165,843,405,883,460,937,855,334,658,943,
540,577,053,319,167,709,799,545,143,244,011,400,154,423,805,496,683,855,918,
642,968,643,233,202,872,523,665,301,234,814,023,484,268,888,372,811,501,187,
298,732,224,136,852,657,631,535,679,503,536,975,900,109,712,885,242,100,315,
962,194,222,976,179,055,025,961,918,961,511,565,533,490,903,989,994,367,891,
573,943,446,527,059,752,075,197,634,121,981,664,207,193,425,797,899,550,764,
707,513,606,597,934,472,068,439,371,141,723,252,731,037,333,996,290,490,715,
029,223,480,736,982,715,728,826,086,071,423,790,920,957,870,987,922,880,026,
022,301,225,613,443,946,704,692,674,955,711,442,805,272,460,727,169,529,560,
350,999,992,731,826,529,665,366,849,340,299,576,933,410,016,206,850,137,635,
018,841,463,587,474,961,758,608,981,366,438,185,342,063,831,328,399,905,278,
087,688,712,082,285,299,047,194,375,123,794,078,918,356,905,315,576,767,416,
523,479,154,888,911,438,817,097,471,760,843,323,192,417,551,420,838,009,066,
253,982,801,951,214,297,290,937,443,561,412,865,681,892,939,968,934,927,374,
303,196,651,625,232,762,417,554,402,524,508,031,873,114,226,135,867,832,474,
371,362,107,950,313,717,990,663,796,590,904,135,716,468,786,616,606,422,214,
803,535,100,664,883,884,951,966,076,989,056,150,949,073,252,284,725,595,664,
055,878,453,351,287,950,888,872,742,579,239,356,030,510,068,224,160,165,399,
426,151,565,694,287,783,827,954,298,327,768,464,089,319,146,681,984,692,215,
580,602,398,556,241,915,637,030,642,731,473,879,233,526,890,854,695,455,407,
360,514,498,968,837,553,129,402,522,502,612,794,265,664,319,075,621,280,045,
633,657,497,200,593,997,864,319,072,488,899,686,044,965,411,860,027,557,575,
047,638,471,074,122,152,129,123,504,480,782,145,194,657,826,069,780,991,311,
032,417,277,827,525,688,789,171,785,853,324,018,301,439,974,181,787,864,607,
827,777,887,544,715,676,632,988,014,412,712,980,554,071,397,551,694,139,924,
963,483,852,673,877,510,769,528,470,622,769,546,044,608,152,635,665,740,427,
556,309,439,235,144,843,740,245,551,131,380,148,516,489,341,157,308,669,497,
789,369,308,959,097,742,974,376,497,734,015,981,806,410,370,392,305,239,230,
775,482,907,495,755,523,717,963,374,891,663,633,630,998,102,263,381,284,321,
414,929,524,402,200,290,786,728,417,141,200,849,195,552,764,588,652,671,392,
472,251,482,525,286,606,097,885,765,423,312,897,809,500,095,548,857,189,720,
758,866,886,503,159,671,104,264,661,284,170,789,457,856,088,264,045,953,036,
348,279,361,462,223,844,718,652,151,306,963,971,406,205,939,969,883,761,216,
058,981,483,835,848,244,161,083,870,670,450,001,211,449,655,202,137,226,888,
871,848,301,776,681,140,990,858,551,438,775,089,566,190,795,684,985,769,283,
652,980,511,321,428,281,281,385,645,547,883,650,695,146,544,711,436,491,307,
244,867,835,557,406,730,163,853,913,648,049,440,168,996,164,151,109,297,773,
504,042,607,071,422,118,404,572,201,595,880,897,771,111,803,045,669,802,226,
629,430,068,029,127,555,239,002,768,265,465,713,654,047,676,224,689,483,454,
208,556,720,658,090,235,125,363,008,863,273,320,222,484,555,571,510,686,423,
264,356,374,949,784,510,603,999,207,121,582,957,107,764,975,318,734,252,352,
503,024,971,331,518,075,334,709,321,115,887,110,564,043,538,460,508,572,617,
632,928,304,553,822,368,957,876,578,533,545,270,032,399,995,384,068,235,508,
536,516,933,765,176,520,702,676,878,651,419,288,062,258,498,927,434,919,985,
400,472,864,303,816,364,928,618,899,922,541,572,471,218,902,243,526,055,399,
116,791,664,051,802,882,930,155,887,493,891,348,885,353,344,145,032,550,663,
239,203,081,279,156,188,476,212,929,165,276,434,033,447,097,039,358,003,198,
231,227,382,170,538,605,943,386,771,748,924,729,351,606,179,425,491,713,961,
764,906,643,740,549,235,241,678,076,064,898,105,784,990,599,739,764,555,424,
370,848,657,015,477,718,850,814,555,199,200,651,116,945,869,005,281,758,275,
592,393,293,336,917,951,914,854,586,843,600,258,201,693,671,151,629,501,777,
718,122,848,862,981,146,776,758,844,922,062,875,679,697,753,107,355,161,142,
446,408,466,928,395,825,974,326,885,507,952,287,758,326,465,115,786,566,722,
888,357,959,074,484,035,322,360,184,105,456,224,848,698,766,593,747,728,082,
547,971,625,734,035,170,365,018,762,898,322,811,065,895,485,146,248,997,489,
300,746,332,271,770,221,466,695,426,410,517,857,915,792,485,235,901,536,282,
094,888,678,906,805,917,533,818,166,282,688,403,780,144,105,639,999,391,876,
640,987,270,343,317,782,000,867,812,237,977,619,119,910,581,842,174,993,481,
857,485,080,144,663,874,958,802,055,811,655,291,751,226,813,548,473,970,151,
132,368,714,345,711,956,629,408,728,674,913,142,667,201,847,167,820,367,436,
278,475,684,092,944,730,814,902,159,404,474,928,763,292,995,816,635,524,764,
771,772,506,916,696,745,600,411,333,513,359,962,153,835,278,028,342,912,523,
517,380,006,009,398,354,648,796,547,153,044,907,463,844,192,840,871,123,282,
727,173,322,696,638,262,575,827,195,535,814,030,173,557,529,743,182,897,190,
086,107,894,439,470,895,299,881,812,297,578,984,869,516,213,476,614,033,984,
335,129,361,651,170,328,190,069,606,803,194,306,222,421,660,733,130,617,389,
174,739,973,354,215,011,901,079,610,319,401,839,387,966,456,077,417,534,271,
348,078,227,183,650,865,751,298,431,069,807,607,953,181,398,686,695,696,900,
044,865,434,043,146,190,554,709,001,353,939,361,085,268,791,327,613,159,098,
410,875,973,253,674,164,572,251,270,914,571,478,942,883,724,294,681,616,610,
135,005,817,760,546,263,034,248,538,757,454,932,299,163,496,053,718,173,291,
244,078,926,076,447,938,167,420,489,403,016,703,706,924,998,795,378,236,780,
129,667,716,184,686,378,347,613,464,459,532,247,610,098,871,353,691,278,727,
005,640,699,563,728,797,886,826,472,355,016,629,911,888,788,052,094,185,659,
886,927,502,091,693,653,112,785,724,581,889,826,788,956,465,370,231,667,388,
941,851,232,042,941,313,169,090,331,445,593,145,595,068,431,570,503,767,036,
335,793,488,053,191,611,594,997,200,766,949,183,333,099,045,186,992,546,206,
683,434,158,451,941,253,720,294,191,190,778,975,310,317,748,397,396,350,838,
035,883,474,044,088,731,799,882,950,933,770,732,739,665,209,432,388,289,078,
981,552,522,252,857,811,326,226,283,524,664,137,388,719,268,253,715,642,985,
028,882,551,758,310,919,686,608,670,453,712,168,845,136,341,315,173,635,462,
225,507,496,360,494,203,773,623,828,774,100,205,749,004,548,988,118,291,078,
943,246,796,492,390,664,085,349,252,957,659,937,038,322,376,380,944,388,622,
286,327,075,639,711,597,504,588,422,314,797,560,449,399,153,145,798,720,960,
610,978,014,257,300,358,567,066,736,269,163,585,217,240,880,089,227,247,883,
844,489,837,840,897,247,421,553,831,953,106,801,751,324,527,586,305,349,404,
455,381,544,635,099,548,436,358,280,238,169,411,096,812,018,216,473,530,015,
332,226,784,464,372,203,979,202,396,634,554,330,016,170,323,375,535,246,509,
956,012,532,220,760,471,099,422,865,246,661,829,062,297,480,548,021,404,329,
227,570,629,447,693,577,007,058,854,330,588,518,048,488,677,547,736,482,047,
311,780,100,032,464,890,711,285,988,160,996,623,011,921,978,637,661,510,603,
292,871,097,495,386,628,375,801,010,387,401,604,627,358,522,188,977,057,412,
400,564,600,552,917,430,788,324,806,751,087,879,765,405,060,586,373,902,502,
553,845,354,660,874,260,043,745,599,088,158,511,327,455,763,819,354,129,007,
162,019,930,609,583,080,042,606,717,078,452,022,701,213,811,168,931,977,303,
516,174,907,252,435,116,593,105,634,199,786,611,396,462,788,141,871,226,121,
771,395,097,404,486,950,185,480,677,071,895,937,763,408,271,579,840,926,943,
413,108,826,368,233,834,727,720,340,247,849,207,415,675,243,429,470,142,185,
262,593,230,127,011,035,938,480,831,553,220,287,427,901,745,832,537,814,101,
932,969,157,479,189,371,675,465,919,898,824,410,276,627,948,270,476,225,549,
424,524,286,435,318,886,393,917,706,152,630,756,855,933,797,554,378,621,658,
115,842,984,740,075,030,710,901,335,103,535,577,366,280,954,847,030,290,504,
727,265,764,340,271,688,376,763,971,526,350,750,392,081,322,639,817,627,893,
129,940,061,581,078,064,928,072,370,717,214,036,322,607,322,648,152,234,102,
775,186,325,450,123,511,371,067,662,517,394,097,965,230,615,533,769,954,616,
900,469,746,358,349,845,496,737,621,831,490,972,937,247,800,783,543,796,921,
730,577,815,919,250,143,041,387,254,943,759,070,361,266,428,465,479,506,738,
486,591,250,853,385,028,849,554,842,652,479,641,622,400,885,978,837,444,310,
106,227,425,928,849,177,457,201,398,846,121,058,239,307,355,749,767,927,827,
134,564,640,876,260,439,553,305,557,179,411,000,692,778,744,903,560,865,249,
455,380,994,768,229,679,678,768,323,920,387,805,555,197,127,931,549,748,711,
907,168,854,428,127,218,073,918,433,818,708,797,554,706,100,949,177,139,400,
670,327,506,331,707,695,281,527,104,794,744,994,457,312,804,517,707,262,706,
908,717,145,682,278,570,398,540,165,024,466,523,484,020,929,017,415,633,968,
722,728,878,220,104,498,903,928,151,135,734,674,481,317,815,698,906,697,998,
166,231,923,435,550,937,814,881,337,904,648,697,050,831,804,851,786,974,056,
939,087,517,135,464,258,055,327,447,777,667,085,754,694,262,676,304,847,882,
775,850,612,878,801,390,386,762,009,837,545,324,032,877,124,148,911,803,470,
152,196,464,047,567,391,672,258,132,919,054,196,552,555,659,873,419,366,559,
166,488,846,561,137,812,415,050,769,074,555,245,451,138,770,817,009,833,052,
353,791,304,947,450,943,424,837,417,757,844,009,381,659,148,665,399,823,253,
029,072,658,502,091,014,600,749,694,434,070,416,348,079,821,095,326,538,959,
790,301,020,130,802,056,876,136,981,497,966,298,885,394,714,409,291,773,624,
361,350,917,734,315,264,484,783,500,601,035,897,591,435,477,277,336,049,009,
350,212,163,168,558,302,836,685,186,956,022,568,212,047,051,557,062,486,010,
949,427,975,898,299,937,119,518,918,121,961,809,797,674,859,880,165,073,408,
518,644,948,107,793,479,009,511,785,199,617,230,069,330,914,591,921,221,750,
769,026,427,763,380,121,583,748,285,471,222,160,619,053,991,219,588,147,811,
822,207,129,674,484,264,898,425,659,382,485,912,692,992,042,050,151,143,561,
087,241,554,072,458,913,151,650,822,348,842,724,686,929,426,487,651,255,321,
058,186,499,327,845,960,628,085,343,061,940,137,266,936,441,634,284,626,643,
877,764,788,314,413,768,198,561,851,355,105,292,293,658,096,440,146,067,413,
290,459,643,237,848,378,924,178,448,986,296,070,281,013,818,686,516,883,305,
694,605,832,700,453,460,774,958,473,153,048,729,242,871,853,967,039,714,587,
337,578,713,380,548,371,552,156,468,617,304,162,516,175,751,998,645,971,037,
070,486,287,434,941,806,717,575,781,305,381,277,682,870,198,389,806,740,357,
137,259,016,679,314,030,378,818,093,038,799,049,066,867,085,984,839,997,232,
850,320,746,079,434,408,139,884,190,814,322,055,444,844,454,376,803,974,076,
938,074,491,371,810,013,290,747,841,021,735,237,918,860,742,864,263,856,089,
633,830,928,205,781,424,293,420,948,717,160,007,449,312,614,502,115,371,038,
294,354,869,756,416,180,116,348,768,781,622,631,225,657,442,448,777,289,700,
151,063,355,072,750,825,414,609,884,949,697,707,546,545,043,038,659,483,117,
596,775,550,836,185,616,954,176,270,912,282,975,288,321,816,325,642,956,567,
169,479,615,917,833,240,504,416,481,434,723,068,255,309,914,391,387,064,039,
661,786,078,788,993,247,474,504,091,974,743,795,788,780,450,128,546,919,817,
842,508,912,549,856,846,636,826,933,671,876,892,357,669,697,102,524,183,819,
092,080,003,964,592,335,845,212,608,656,088,788,919,210,671,856,347,890,032,
283,181,525,083,858,587,274,938,930,949,202,453,615,349,308,408,754,732,628,
301,218,179,373,804,730,930,315,778,140,674,876,959,017,210,928,672,816,774,
209,326,047,072,634,017,183,920,543,197,162,474,301,332,442,957,982,095,275,
034,855,890,373,989,743,325,277,579,284,837,659,016,440,570,434,038,993,100,
866,193,505,727,937,881,980,953,811,260,665,016,096,411,024,186,296,334,564,
241,705,544,643,998,627,485,530,308,110,885,939,239,746,507,820,252,133,046,
786,361,295,859,371,897,435,108,505,278,871,344,937,069,540,122,507,467,559,
428,642,908,999,010,436,571,115,384,203,535,028,071,743,698,652,620,526,906,
123,415,674,759,654,561,116,961,124,956,920,714,175,338,696,645,545,561,124,
598,595,250,404,131,140,502,280,271,600,437,911,877,608,958,778,626,117,213,
259,503,966,591,432,333,827,568,681,616,600,440,974,572,669,803,573,145,493,
517,956,353,476,698,348,756,931,995,642,153,210,853,203,482,666,548,706,379,
293,588,453,745,913,418,917,466,721,172,503,015,288,349,084,470,201,441,137,
580,727,814,471,235,204,713,252,660,311,872,446,725,712,323,566,822,469,971,
659,636,906,370,445,248,072,691,396,795,298,400,786,618,948,183,383,297,635,
336,085,360,132,950,556,340,777,688,924,351,256,922,809,967,895,130,853,799,
123,764,688,031,177,519,080,572,581,484,714,720,101,497,396,485,920,560,569,
956,825,298,746,602,617,581,561,474,046,223,319,281,576,816,901,459,830,868,
178,427,731,603,010,148,316,055,439,128,387,365,279,957,545,298,426,175,513,
694,442,417,558,372,571,119,041,089,114,158,071,539,542,776,683,807,504,065,
183,990,493,379,968,578,457,389,196,243,525,040,920,320,262,292,562,087,864,
070,825,983,985,038,035,139,265,260,245,659,184,304,907,988,940,235,012,161,
685,486,751,467,713,126,086,552,034,397,299,802,096,702,059,759,117,915,366,
009,443,880,954,391,168,803,737,232,078,346,588,038,380,510,469,643,416,128,
804,380,527,145,674,984,417,691,014,510,065,482,237,570,754,543,870,082,759,
691,960,597,059,931,007,451,883,041,820,607,858,319,523,099,256,293,401,923,
318,690,172,275,360,619,247,513,128,510,074,232,685,992,233,777,774,083,573,
661,440,126,567,190,589,981,084,611,161,870,360,962,352,215,991,442,313,277,
956,526,785,184,852,704,705,811,760,931,595,534,255,419,973,202,531,887,587,
250,325,366,372,856,271,452,013,060,658,493,421,964,100,026,082,070,753,686,
857,161,774,209,638,532,092,894,583,875,081,296,992,154,161,546,296,406,039,
234,303,799,435,337,187,736,059,785,403,225,842,151,038,974,323,418,018,470,
930,768,683,972,627,588,276,318,490,806,430,770,726,192,217,052,786,535,844,
084,459,365,173,514,031,964,467,166,293,065,326,653,496,436,662,236,347,225,
569,885,645,244,521,066,636,508,790,679,230,130,238,660,385,843,407,505,672,
767,611,600,269,082,749,369,204,628,358,073,904,106,754,523,387,897,355,609,
405,392,479,303,405,470,032,078,278,631,359,859,832,848,390,277,941,513,051,
848,665,676,061,048,038,009,027,098,270,851,147,810,314,569,831,271,720,483,
177,500,794,833,422,677,485,306,410,367,779,194,871,515,677,001,808,901,695,
763,778,035,234,242,439,998,064,473,315,638,367,299,368,216,735,052,899,180,
969,460,172,092,652,067,195,700,365,896,790,463,104,084,560,139,797,228,389,
568,651,940,821,520,548,005,256,201,932,485,879,251,834,052,221,388,517,864,
624,031,647,364,504,130,062,230,100,670,811,526,261,518,742,926,803,131,939,
736,160,061,395,201,086,720,016,710,947,924,284,650,132,651,597,795,942,194,
516,359,696,632,166,628,546,659,823,655,243,878,115,136,835,775,813,674,748,
742,378,615,918,249,415,348,066,921,487,194,121,331,235,916,559,654,859,069,
466,558,948,217,690,231,920,311,409,380,440,392,288,379,736,268,132,612,044,
067,658,267,817,915,716,193,699,887,226,878,064,315,911,331,086,520,171,978,
560,215,203,283,313,796,684,950,558,729,431,420,665,617,895,138,278,085,660,
018,175,610,482,974,142,612,246,060,060,204,645,695,014,461,030,030,238,299,
772,048,567,989,440,167,610,522,835,872,965,498,084,430,897,820,458,967,001,
716,232,846,429,996,335,304,453,172,058,842,527,119,516,206,290,939,443,124,
954,930,660,840,508,086,778,055,982,577,592,704,993,308,310,003,842,276,404,
597,938,181,572,071,765,942,536,579,334,169,637,986,550,022,040,424,501,854,
719,857,230,087,699,857,884,023,061,479,421,912,739,505,472,221,699,387,324,
153,992,601,438,412,128,085,559,265,264,338,074,269,575,119,611,360,621,493,
017,661,111,049,906,036,555,781,334,840,469,982,866,624,722,161,376,891,151,
093,375,062,336,278,967,654,779,149,229,087,961,149,914,938,949,556,238,902,
953,710,600,547,808,853,462,089,110,982,293,070,979,598,694,958,933,574,075,
432,772,091,007,290,987,941,992,422,705,474,987,375,871,925,706,355,632,003,
585,245,628,538,820,765,508,224,384,196,366,165,386,690,679,687,760,246,838,
611,866,460,462,458,965,422,887,154,107,687,228,018,917,994,824,359,667,976,
870,527,569,151,888,271,645,481,618,136,412,138,991,536,217,834,978,980,084,
642,070,474,866,172,185,052,710,443,866,630,259,439,060,549,805,864,028,200,
212,643,615,491,463,872,461,506,387,852,164,594,390,393,749,100,868,716,676,
864,999,140,744,441,959,443,329,501,194,940,766,883,670,700,174,922,471,460,
078,095,581,440,422,867,176,514,224,864,557,136,456,400,545,087,774,302,759,
651,614,378,797,587,650,856,257,734,961,921,600,338,703,610,814,120,787,654,
260,079,275,081,788,737,257,544,903,040,070,998,578,660,408,763,160,206,540,
576,110,049,118,388,231,728,638,544,189,153,099,081,094,264,182,883,680,936,
546,998,812,672,565,575,733,854,018,850,209,655,451,642,346,566,029,051,622,
691,695,252,947,675,860,785,503,466,890,759,059,815,815,722,717,765,619,323,
335,403,280,647,037,158,820,253,754,519,874,123,640,646,292,301,976,061,273,
494,777,718,155,283,767,838,119,826,158,241,597,335,005,315,899,317,093,830,
124,360,267,844,349,434,578,003,022,545,812,077,141,845,512,411,451,827,152,
796,199,842,217,601,423,882,771,091,744,168,674,544,807,771,005,123,431,929,
850,974,774,706,095,534,909,990,398,007,529,359,393,066,782,572,538,014,645,
016,295,404,939,064,911,471,053,748,348,499,073,046,194,398,027,616,310,555,
889,943,064,013,974,287,381,673,341,322,790,295,564,245,036,036,040,642,309,
817,927,089,819,518,325,207,417,849,974,763,414,376,159,925,501,872,715,762,
084,083,503,233,573,103,420,620,519,879,221,454,584,871,943,837,254,295,223,
076,910,512,396,662,035,596,697,436,884,013,382,107,600,039,408,765,646,666,
867,980,789,193,483,041,940,353,812,479,088,446,403,511,245,628,314,008,298,
251,367,951,972,681,952,718,189,517,306,713,006,015,225,073,914,913,130,769,
522,812,768,505,575,668,344,427,080,298,457,371,433,651,475,716,301,961,639,
463,510,304,709,654,745,158,117,349,247,682,378,417,909,937,601,029,362,948,
173,082,917,691,815,139,906,976,819,724,378,469,777,777,646,587,605,495,900,
162,316,178,629,165,059,362,182,354,308,583,927,745,023,325,414,676,086,418,
850,842,099,630,961,219,765,325,535,712,570,661,244,976,495,008,729,797,654,
181,648,463,245,480,206,185,860,031,980,944,915,523,222,080,886,927,625,654,
205,352,319,871,592,308,844,789,027,174,850,612,228,785,443,997,659,111,531,
327,178,455,435,330,794,596,526,206,292,564,617,416,799,918,581,640,530,230,
075,240,786,007,414,215,522,598,565,045,004,057,155,002,131,301,277,991,477,
394,303,355,616,661,978,421,140,788,297,273,986,577,813,580,836,360,995,843,
906,688,184,201,545,756,550,332,614,947,916,943,714,736,956,080,924,745,302,
734,620,872,738,412,563,658,705,266,639,626,608,397,135,318,590,026,303,572,
059,859,408,348,740,887,735,484,149,218,234,047,076,982,444,539,812,796,846,
338,129,115,204,608,439,569,197,884,560,497,904,878,438,108,270,750,072,985,
141,261,032,711,766,145,561,408,567,304,481,490,187,263,335,200,045,695,719,
719,625,050,150,631,408,549,618,978,368,607,953,680,097,248,364,312,464,293,
687,832,934,095,036,332,925,922,873,026,554,573,064,718,039,894,586,797,523,
900,893,421,326,426,817,364,630,831,360,447,480,479,749,980,175,198,606,623,
968,507,225,811,903,205,645,938,862,541,846,885,391,977,697,135,183,070,805,
335,714,290,904,369,811,230,037,058,187,109,783,081,886,564,012,676,108,173,
378,693,039,336,354,516,935,742,433,615,972,156,229,017,427,408,216,518,898,
213,071,040,116,940,828,773,574,558,972,466,838,576,513,431,209,580,463,597,
838,772,817,244,065,945,283,237,719,791,971,397,370,799,425,495,584,100,014,
187,319,678,409,766,367,200,872,029,817,813,596,200,594,180,235,849,731,436,
608,128,115,984,424,823,108,066,129,303,363,748,929,345,264,538,389,420,452,
884,689,065,864,865,203,047,884,452,250,018,430,667,352,479,854,166,687,877,
812,924,658,553,687,155,839,729,083,825,694,950,380,132,642,484,269,699,839,
707,797,352,249,033,633,993,506,193,306,225,749,172,573,909,274,563,021,435,
532,061,583,787,319,108,185,467,959,712,866,397,374,931,392,250,035,097,320,
285,378,802,928,981,432,871,826,273,463,073,103,326,037,436,217,576,332,555,
455,650,632,343,685,429,547,855,557,197,481,199,593,406,455,258,207,874,039,
253,894,867,438,768,111,411,026,645,100,105,031,051,113,995,614,350,879,476,
646,519,691,898,904,300,666,979,564,816,183,449,998,440,823,035,629,123,192,
635,696,329,765,223,570,833,860,886,924,018,875,001,884,697,501,689,807,547,
439,143,256,280,053,015,676,302,372,520,779,162,628,737,743,511,595,700,297,
978,888,251,612,488,126,891,564,795,088,446,306,039,255,990,630,954,335,508,
439,617,022,114,382,914,327,076,589,822,010,178,560,539,990,968,378,402,927,
817,975,139,665,389,480,330,477,876,244,032,901,557,900,439,225,415,485,158,
401,117,970,892,073,156,080,859,050,342,472,889,421,027,781,979,407,338,935,
268,155,329,608,456,220,895,354,387,228,802,276,179,934,171,067,613,078,978,
251,067,945,576,901,479,928,629,732,202,869,513,673,910,845,825,390,384,815,
577,644,543,524,407,952,712,810,909,319,627,209,892,056,205,188,423,743,400,
138,478,311,194,614,140,505,505,541,523,861,923,902,269,234,240,938,344,889,
401,493,515,425,986,068,600,658,813,892,851,408,045,687,889,326,204,577,577,
861,463,460,083,050,442,479,201,988,301,186,775,666,572,308,968,271,903,061,
337,267,197,653,288,091,520,269,940,165,933,542,628,202,261,273,688,988,346,
918,445,041,376,761,237,043,837,730,185,890,924,663,463,444,360,008,268,991,
900,297,395,626,015,908,815,121,439,598,944,321,677,164,546,521,041,669,291,
823,029,620,727,575,746,066,428,789,314,350,968,651,831,547,888,222,660,768,
178,791,979,975,778,156,730,252,913,569,672,594,563,320,045,264,307,200,263,
003,883,173,180,463,801,186,489,990,093,322,943,330,967,674,035,980,083,078,
662,953,893,636,173,518,762,544,468,525,350,487,951,072,179,047,968,596,022,
245,407,769,171,600,002,882,365,633,354,875,808,399,142,883,530,985,036,521,
643,176,185,229,219,837,989,886,969,260,930,020,633,360,141,012,549,724,777,
064,759,048,515,513,745,038,698,897,452,466,473,888,200,431,152,309,361,148,
432,068,935,541,518,177,711,115,901,690,462,376,691,473,224,182,251,912,783,
589,391,226,288,901,413,033,961,306,159,353,101,129,906,984,954,151,555,944,
238,629,164,639,244,314,706,333,902,513,295,237,904,786,745,082,141,041,321,
412,737,797,250,348,099,977,475,695,744,274,658,133,523,010,074,383,746,809,
192,714,773,928,890,790,255,802,116,415,114,618,283,531,420,498,521,371,333,
284,440,129,572,909,113,226,376,581,766,196,118,489,247,697,085,512,892,391,
131,911,237,893,740,701,373,179,369,220,531,479,036,906,700,373,015,016,830,
196,802,222,349,710,207,927,885,479,151,066,061,475,936,946,462,054,790,142,
858,939,397,676,744,892,419,321,670,687,352,350,885,810,470,705,377,042,704,
866,064,243,702,590,089,668,527,041,043,712,465,987,695,946,996,317,100,970,
399,007,526,558,506,968,273,648,434,079,400,823,880,463,484,122,714,449,366,
798,608,337,862,825,363,091,102,694,553,796,075,733,332,750,893,605,168,456,
673,802,414,101,213,985,269,740,855,034,185,890,314,659,461,972,669,971,166,
089,088,769,836,945,144,853,990,937,162,854,494,432,143,644,982,751,495,234,
986,301,471,901,856,446,183,693,012,399,329,720,628,427,852,412,380,210,001,
422,122,013,708,811,497,782,286,339,638,618,457,397,888,891,901,969,872,928,
892,213,781,041,096,523,275,105,676,559,489,959,931,245,668,981,997,485,341,
922,583,084,354,747,497,507,444,889,645,035,582,295,719,286,345,109,067,682,
700,303,874,872,729,073,738,097,796,168,122,099,540,855,840,346,161,609,364,
173,680,088,548,138,444,039,960,643,314,350,318,051,010,149,294,209,278,218,
212,891,863,130,088,072,391,777,386,679,280,122,079,305,962,850,735,270,900,
206,002,871,161,022,150,838,293,528,793,113,865,324,840,103,220,742,366,258,
325,834,982,764,854,745,243,322,712,754,306,011,480,684,959,138,947,161,429,
257,257,140,654,362,434,806,949,786,734,187,492,204,456,567,214,671,364,463,
854,524,447,204,403,327,340,505,152,987,888,363,599,332,687,764,373,272,304,
997,381,064,598,340,416,032,219,314,445,292,150,472,096,961,035,653,867,057,
076,045,586,237,713,511,042,021,747,221,954,938,162,224,029,014,274,928,444,
343,985,909,897,554,590,135,481,441,259,540,405,765,225,733,606,655,121,383,
546,552,426,672,207,912,279,716,643,143,648,291,400,175,549,786,557,824,458,
205,103,420,010,700,233,670,412,601,735,653,887,191,788,250,002,140,488,181,
556,529,712,867,499,022,096,154,986,688,520,846,246,690,559,554,107,236,335,
229,783,525,418,159,568,637,309,722,156,863,520,810,878,214,101,060,594,151,
303,876,049,362,365,737,354,498,643,635,752,895,852,016,643,530,831,139,176,
104,873,366,576,205,850,391,174,291,897,856,811,188,306,463,324,900,700,933,
544,870,780,445,226,126,254,327,345,894,857,686,360,030,759,144,150,652,345,
908,008,750,659,339,517,599,033,475,162,023,583,381,974,506,897,454,488,280,
189,814,449,273,280,226,471,088,132,718,281,173,267,343,588,863,221,344,235,
962,728,019,070,212,345,316,782,471,965,571,775,618,286,669,012,147,819,232,
178,021,244,797,727,793,481,735,694,935,654,433,159,226,586,244,663,901,658,
838,164,601,177,561,694,285,698,336,557,801,381,570,984,681,191,824,167,776,
080,451,875,256,013,089,989,735,688,395,238,686,641,912,361,878,703,863,164,
283,766,089,279,636,121,658,737,532,053,407,769,618,477,963,495,062,172,974,
523,998,558,153,210,206,978,885,324,318,064,019,555,860,959,916,060,768,863,
957,245,247,787,488,004,450,582,483,947,899,802,080,429,242,160,844,189,736,
759,355,744,978,428,542,915,109,693,506,513,059,402,329,251,448,491,571,424,
693,862,436,487,984,199,252,473,023,359,389,221,489,296,795,422,393,819,431,
463,040,946,730,351,863,968,618,886,391,834,658,000,819,936,763,683,695,477,
439,799,577,345,351,390,228,981,057,294,852,319,480,809,871,214,867,977,621,
905,176,270,723,524,642,560,052,413,973,689,286,558,905,911,635,848,715,445,
839,965,037,431,247,538,321,893,949,985,631,419,689,922,296,564,225,202,758,
770,685,834,367,381,950,372,406,478,125,178,162,654,403,247,128,145,825,751,
997,516,272,544,090,507,214,876,824,828,168,631,291,700,425,438,901,151,861,
493,475,002,027,103,734,662,194,592,951,356,756,083,403,405,182,922,517,714,
199,965,725,162,389,398,734,839,269,448,074,194,485,274,432,633,658,965,232,
865,125,004,669,250,207,747,260,288,326,475,831,216,448,715,693,505,561,012,
335,949,129,885,545,018,365,142,954,784,009,940,358,728,634,528,164,677,503,
536,681,014,894,074,193,677,000,960,794,582,743,225,805,254,579,260,052,883,
889,424,801,086,655,821,654,837,305,231,720,634,574,878,106,702,755,410,307,
419,456,273,516,474,834,790,168,964,742,122,409,688,188,777,123,118,948,390,
359,547,298,451,652,930,458,628,352,471,261,725,512,795,599,820,001,710,416,
243,624,896,032,262,256,751,435,978,054,442,217,014,654,482,073,444,913,272,
365,776,022,665,713,596,094,222,068,406,374,202,452,037,421,666,803,787,043,
218,826,856,878,478,552,722,370,287,138,666,595,594,701,869,871,980,020,653,
888,021,358,061,135,668,815,146,440,774,146,089,588,176,410,377,795,773,221,
800,650,968,449,125,514,995,024,747,172,615,204,865,560,251,062,087,122,621,
620,445,607,585,656,972,387,891,682,122,374,905,767,882,466,561,926,141,767,
843,571,717,841,723,290,951,002,986,969,389,213,379,694,146,069,094,764,002,
349,929,823,423,638,317,258,274,029,350,017,073,353,709,307,637,651,322,298,
972,926,446,072,928,202,220,111,936,868,995,242,129,933,611,858,737,837,438,
009,724,365,917,485,397,752,861,074,699,559,200,932,275,821,529,201,142,740,
388,678,311,542,045,563,294,452,695,047,135,242,817,459,422,743,701,280,065,
327,157,480,247,297,514,225,959,084,460,373,524,287,736,933,266,059,887,191,
491,825,833,930,063,858,434,028,989,286,397,218,636,549,251,719,829,699,280,
396,462,036,536,908,207,723,547,784,435,016,151,036,269,279,208,827,473,510,
793,557,736,281,201,978,547,533,463,951,258,731,074,294,426,185,628,401,273,
014,089,969,939,394,372,338,483,164,725,062,444,378,467,999,859,722,755,863,
315,411,482,894,693,419,310,217,621,835,053,646,717,383,563,281,623,308,657,
726,290,386,545,254,490,368,234,624,365,046,802,352,315,933,771,133,367,141,
767,249,298,730,586,902,318,610,614,219,392,354,167,372,038,223,644,418,790,
929,171,930,570,005,120,078,803,144,448,904,594,863,900,893,208,797,327,030,
136,601,259,149,799,600,346,877,533,498,998,627,359,127,674,608,689,107,821,
111,953,621,148,204,791,686,180,388,646,430,375,084,215,535,198,770,503,245,
596,160,962,857,685,997,868,942,676,981,905,243,656,533,881,476,305,860,010,
386,862,997,581,756,187,851,489,054,869,170,435,000,161,839,152,106,203,513,
046,002,926,393,271,581,122,496,051,315,045,120,087,682,811,306,087,873,185,
743,017,979,484,775,512,074,440,160,582,127,567,402,404,766,733,892,472,437,
775,573,124,688,420,834,686,393,984,597,427,654,777,838,459,858,728,834,073,
539,662,542,786,337,376,494,688,222,714,906,399,981,078,317,406,608,936,444,
622,859,397,205,309,325,919,578,658,264,017,078,096,474,963,637,997,869,273,
193,715,515,054,408,591,066,721,619,219,252,586,007,993,328,137,356,903,786,
715,706,282,218,570,760,383,342,879,658,062,444,683,475,699,455,731,049,215,
595,937,526,982,512,539,337,235,505,604,450,963,274,446,286,571,158,492,011,
361,428,599,030,522,840,774,695,407,271,554,187,804,644,742,107,744,063,195,
758,610,701,068,607,752,813,680,639,170,568,751,863,002,828,611,971,666,609,
134,711,574,428,201,185,184,921,700,476,785,032,134,170,963,683,288,893,030,
916,428,199,008,697,834,232,991,045,620,467,413,178,921,623,807,759,393,000,
682,114,817,696,405,917,238,255,399,939,886,538,699,380,360,708,552,038,268,
951,825,652,784,324,643,584,900,881,809,756,488,556,899,343,382,246,655,218,
642,683,865,959,552,077,986,226,633,666,915,113,379,483,146,127,638,972,821,
604,646,991,691,297,680,798,816,756,272,700,597,639,744,893,001,360,909,067,
568,326,017,408,296,570,490,075,573,838,998,949,975,847,857,022,627,937,624,
971,610,448,545,500,239,535,846,091,651,840,615,411,770,310,773,489,599,270,
493,224,764,210,546,847,710,102,484,236,682,159,887,355,137,722,810,538,676,
299,094,251,451,008,747,468,008,011,576,665,439,227,286,480,695,879,865,314,
682,157,372,722,368,573,768,296,378,370,780,918,226,346,121,849,531,240,592,
824,595,078,435,338,602,192,823,699,819,910,701,699,198,681,195,976,712,453,
124,096,188,126,496,686,423,857,557,797,900,754,614,122,226,996,089,469,362,
182,821,321,554,240,805,257,416,063,200,906,582,156,018,316,548,587,379,951,
847,220,499,248,782,152,328,996,754,604,369,309,616,320,100,441,828,603,837,
131,740,313,957,243,677,098,067,430,665,837,456,582,806,155,482,657,356,094,
889,812,701,045,507,821,401,856,246,006,831,329,907,602,378,758,521,989,284,
336,388,175,056,319,128,141,974,817,002,160,256,935,250,690,242,827,928,186,
793,934,286,133,760,460,962,548,135,324,300,088,761,723,219,326,631,591,954,
662,929,544,198,627,122,643,043,562,694,912,325,733,812,481,887,169,473,077,
468,897,794,390,744,302,391,407,443,121,146,143,837,249,462,512,662,910,323,
005,127,011,036,616,740,496,903,049,100,624,867,718,116,278,635,642,892,058,
702,075,285,384,055,276,800,913,788,839,101,278,482,072,562,599,074,154,345,
877,504,541,292,454,281,808,701,326,807,984,738,784,937,589,598,755,468,929,
463,819,424,486,074,159,546,299,641,865,546,062,601,542,969,854,603,651,997,
486,430,779,931,895,032,073,666,252,041,404,418,383,981,314,957,052,060,052,
379,725,221,658,842,439,730,861,673,502,954,258,712,656,174,115,475,627,407,
398,910,512,820,240,347,645,770,375,141,364,315,266,082,699,871,787,630,721,
877,105,584,560,770,730,770,535,255,449,799,757,915,259,995,075,096,716,208,
949,243,368,654,662,857,149,590,480,053,181,942,170,773,428,151,577,295,902,
530,368,149,335,593,848,512,653,492,775,867,854,833,701,752,831,240,785,994,
553,142,240,207,719,247,085,349,490,847,320,950,668,139,488,818,383,613,054,
857,231,238,736,782,488,638,640,801,057,902,434,232,357,270,115,510,890,490,
920,548,904,118,933,269,174,296,158,635,079,572,195,112,478,633,702,467,534,
823,010,641,937,543,158,526,321,356,052,991,079,002,970,298,448,428,528,722,
476,292,438,176,908,457,604,608,757,042,496,973,375,908,415,119,280,714,848,
477,809,205,114,971,534,942,000,406,128,073,657,035,744,122,148,723,023,268,
337,357,759,783,654,969,571,070,560,204,780,625,103,369,085,486,802,005,682,
048,789,570,274,178,935,322,468,974,443,375,527,122,716,405,355,909,478,929,
038,729,427,192,540,841,946,122,881,597,786,062,015,257,167,274,101,570,777,
299,655,852,858,473,146,647,283,359,215,868,522,317,429,398,312,626,169,815,
074,312,623,108,653,058,685,858,086,162,154,971,427,542,638,074,768,629,044,
580,743,865,329,871,055,758,496,983,746,811,630,938,197,068,995,192,093,252,
062,910,879,147,335,740,575,701,443,204,031,615,414,549,267,450,842,103,965,
972,375,595,693,090,125,251,899,582,551,574,951,072,330,089,627,401,727,244,
963,694,765,670,221,686,765,724,080,019,632,737,906,645,984,614,428,696,852,
030,720,093,827,217,541,077,284,771,923,331,089,732,196,012,795,842,386,017,
736,128,419,903,554,832,307,083,497,595,003,261,570,121,119,243,453,140,781,
646,246,897,712,259,939,626,092,315,715,986,919,735,191,998,021,885,209,121,
236,314,244,535,553,004,215,273,483,526,503,045,213,552,023,202,890,797,898,
036,211,548,969,438,609,787,165,155,291,185,945,172,657,900,473,195,749,395,
799,498,287,079,616,346,675,663,431,142,205,747,650,471,034,446,332,056,200,
944,630,033,245,159,367,148,086,968,188,744,931,051,655,253,911,704,728,372,
907,857,729,304,118,787,913,323,197,732,789,485,635,686,741,434,542,621,395,
113,672,548,304,744,945,878,622,356,006,651,020,130,549,982,522,730,897,554,
980,789,049,066,726,110,253,727,762,123,198,950,454,290,991,486,415,104,117,
688,903,204,612,964,001,218,555,725,693,148,037,904,137,783,322,019,959,624,
475,014,466,563,726,480,223,424,607,023,517,572,589,712,788,781,715,409,619,
117,772,100,884,319,195,474,361,862,433,301,409,631,868,112,839,197,777,195,
153,443,274,261,924,853,757,457,654,725,608,376,201,171,598,872,250,256,394,
333,115,569,183,654,060,504,276,179,733,742,972,366,687,828,200,529,284,667,
910,498,987,604,670,450,257,952,324,456,413,351,697,707,947,625,524,111,759,
590,482,622,807,957,568,373,010,921,206,183,152,444,162,439,618,496,671,110,
851,000,728,816,176,558,870,317,040,598,591,296,065,374,862,880,336,362,568,
896,603,829,240,116,231,658,447,787,775,588,751,065,774,333,993,755,135,525,
741,607,235,561,325,111,972,717,477,792,492,778,501,493,655,613,595,942,401,
158,539,440,158,293,886,963,718,454,619,892,168,508,187,326,335,079,102,690,
702,806,686,766,046,803,204,325,059,954,998,018,384,582,056,191,712,774,838,
882,626,060,038,439,899,012,260,772,324,442,181,032,351,467,933,106,382,252,
029,915,001,900,111,061,727,131,512,033,849,426,322,775,740,350,656,274,706,
076,067,297,664,149,156,787,992,180,166,616,191,428,752,099,866,549,051,386,
447,727,031,417,306,844,463,358,110,606,546,050,237,918,130,104,823,823,276,
669,345,115,057,623,923,854,074,764,606,251,773,358,379,289,399,260,151,456,
313,983,975,867,159,820,047,158,509,153,468,773,873,657,783,423,228,293,320,
096,698,701,920,144,407,155,959,382,500,533,606,551,513,277,542,984,353,304,
947,887,634,854,051,611,475,730,181,271,957,208,214,269,429,865,714,036,875,
116,363,319,083,207,940,755,863,182,482,079,578,528,642,160,588,267,090,347,
398,418,307,426,951,341,678,878,814,756,398,458,199,027,549,291,189,213,627,
002,840,050,871,021,891,840,864,935,586,275,254,650,710,527,212,217,205,133,
562,019,773,542,864,640,174,141,500,599,065,449,616,568,427,945,383,566,975,
048,620,242,927,035,176,224,106,984,366,755,716,174,227,978,575,689,680,438,
695,316,888,952,233,746,254,811,986,416,314,011,117,147,735,107,641,361,924,
707,879,376,703,019,011,852,917,966,340,632,162,074,684,326,556,089,120,151,
445,334,737,174,559,044,681,227,447,567,972,271,673,589,141,782,751,798,903,
788,877,143,017,964,801,226,315,076,105,182,059,315,177,512,314,178,808,976,
012,313,425,621,964,688,264,681,964,877,513,958,706,382,421,591,661,286,827,
125,820,727,611,132,051,165,925,566,879,044,159,892,633,909,651,673,984,414,
322,271,211,981,118,397,543,541,761,664,743,926,587,240,051,425,688,919,667,
362,078,832,677,595,744,449,879,223,266,108,496,047,923,189,003,015,176,417,
302,099,634,978,624,324,367,276,657,955,113,644,372,527,691,799,487,282,678,
053,265,368,573,139,678,076,517,734,601,883,702,062,434,588,776,751,368,389,
263,882,780,349,010,720,548,535,706,246,556,432,604,341,120,950,453,954,742,
171,278,459,628,394,373,241,129,255,964,044,413,630,912,038,780,084,343,852,
200,976,526,942,570,201,934,563,058,270,070,092,367,922,062,866,355,972,591,
790,055,724,604,379,793,885,585,556,932,109,026,873,152,770,991,002,656,472,
362,429,994,023,068,878,724,373,599,223,042,435,093,288,526,908,962,928,583,
345,293,436,581,485,060,887,441,287,637,844,035,405,676,641,804,979,675,270,
074,633,276,951,999,665,198,796,458,998,140,472,395,925,414,877,892,496,154,
910,362,686,064,801,232,082,268,024,969,965,468,763,267,488,258,854,245,016,
470,775,934,440,758,205,684,104,967,570,423,034,869,703,265,846,367,882,316,
075,851,230,106,069,014,898,946,860,894,262,522,673,368,880,924,440,741,770,
144,758,098,725,480,005,302,462,320,558,145,928,227,148,209,574,203,090,229,
268,393,462,403,011,787,654,778,347,164,477,372,081,823,056,389,671,713,399,
170,560,246,523,633,030,280,169,777,852,793,459,686,018,134,738,497,356,722,
053,255,032,019,399,053,775,771,195,665,218,604,081,326,114,752,855,206,664,
679,471,194,766,388,120,374,051,658,126,665,168,972,614,546,418,174,773,741,
438,001,222,829,143,146,414,620,773,091,346,907,981,391,501,009,026,192,447,
466,129,390,519,020,279,811,659,570,964,596,701,119,601,408,126,444,354,568,
151,895,667,446,652,700,739,357,578,806,407,855,606,906,032,716,988,856,558,
621,540,374,004,661,421,873,574,474,204,049,932,618,337,181,519,023,482,942,
657,276,514,909,105,448,156,310,093,258,396,738,642,339,306,052,015,596,809,
956,353,506,934,219,437,324,000,232,414,626,486,791,308,195,700,104,477,297,
344,123,870,865,864,394,390,752,483,243,158,817,192,177,765,524,436,069,817,
785,348,449,318,759,821,022,216,898,507,405,686,559,878,865,271,625,868,300,
846,816,749,254,914,923,495,991,048,253,755,012,725,740,351,781,201,585,452,
621,639,079,618,159,704,629,239,273,976,359,528,939,946,233,616,386,130,836,
139,840,238,006,840,130,565,811,517,762,573,418,234,016,856,900,651,100,959,
549,305,339,929,854,173,014,002,019,819,532,633,109,809,402,761,175,130,428,
561,358,044,474,357,044,818,971,308,331,360,719,911,180,086,456,803,187,588,
137,287,981,642,588,877,984,370,124,607,706,470,813,471,391,543,167,438,287,
124,405,533,504,076,128,766,894,155,455,615,174,454,015,652,156,655,144,899,
757,162,471,098,416,289,018,018,451,408,195,770,050,208,565,726,131,591,370,
321,546,748,701,243,202,452,144,971,130,674,960,759,456,155,587,603,279,113,
537,489,180,079,098,441,090,194,478,459,255,300,083,754,828,099,357,656,523,
345,108,582,850,512,514,497,465,653,172,371,517,485,516,249,875,071,816,324,
552,183,791,812,224,054,201,310,960,725,229,051,448,655,410,430,162,825,404,
776,600,466,402,667,940,274,875,979,432,906,049,603,361,574,206,287,213,199,
349,016,700,347,699,336,856,017,635,538,831,103,756,591,465,906,999,466,893,
803,176,914,391,583,655,128,682,627,110,024,703,572,269,841,030,491,895,956,
847,895,371,058,053,638,640,030,710,377,747,736,484,665,516,407,643,946,781,
623,702,279,486,874,058,962,122,573,678,010,973,915,495,387,668,516,657,000,
126,520,843,850,914,538,892,591,338,794,130,495,879,520,593,614,880,921,579,
335,535,512,210,177,360,441,796,948,860,514,167,155,652,086,827,352,855,334,
521,648,825,093,108,747,823,468,054,036,675,266,969,736,313,964,677,076,831,
195,485,701,960,283,787,909,120,046,379,889,530,653,822,159,383,353,433,862,
886,380,118,183,538,537,009,368,419,756,476,968,957,186,200,797,001,958,330,
588,654,045,224,150,724,415,105,051,083,582,897,268,949,763,054,841,506,226,
427,333,620,349,897,234,839,021,228,765,440,123,347,332,443,474,678,572,511,
368,069,137,781,226,595,788,725,835,559,146,645,960,041,445,402,952,474,855,
737,602,483,998,570,314,446,316,214,225,478,205,180,611,166,460,676,411,153,
512,443,367,743,782,980,695,807,691,005,113,588,364,292,702,308,258,062,635,
908,054,651,227,068,545,946,677,878,596,855,456,535,787,312,392,779,639,072,
307,775,373,822,003,116,169,624,847,153,421,649,394,047,573,366,180,238,448,
206,126,734,928,247,421,288,678,682,403,021,087,868,936,303,785,296,594,125,
370,716,691,102,052,882,975,081,279,042,015,655,426,730,219,261,303,463,227,
933,916,368,496,665,245,887,966,656,177,981,659,826,750,645,961,855,585,249,
499,766,672,439,101,085,059,023,851,139,606,430,427,924,901,481,871,307,035,
172,944,076,209,494,726,178,794,998,085,851,524,602,526,950,731,321,799,758,
249,452,033,366,749,683,466,911,592,077,339,539,481,679,984,903,302,130,258,
689,548,611,683,895,901,276,976,148,943,590,744,010,105,059,040,173,378,052,
295,051,605,627,522,191,529,885,413,192,719,159,407,215,202,861,158,664,882,
349,323,736,150,636,119,436,219,032,705,312,203,277,123,088,222,071,769,103,
825,476,733,671,198,899,615,664,097,389,104,638,032,235,724,258,926,544,574,
101,270,892,718,962,500,003,583,898,588,638,270,116,471,734,503,361,626,017,
490,192,570,781,926,476,335,078,545,126,399,108,945,080,476,643,552,149,377,
178,387,642,332,449,377,647,313,930,738,862,489,225,439,214,843,678,389,295,
248,526,844,173,161,042,833,678,375,825,013,359,936,952,314,931,187,115,288,
282,269,469,485,624,225,551,251,554,913,595,897,999,935,871,108,060,055,951,
126,903,692,571,034,288,443,483,751,226,619,248,253,439,694,603,666,294,798,
239,358,276,499,102,566,501,087,364,025,424,396,402,991,123,973,530,773,715,
578,834,343,984,343,152,909,096,760,130,475,160,367,831,328,403,073,948,558,
526,796,582,195,112,078,793,046,603,066,365,702,892,930,398,219,896,424,434,
030,115,280,857,544,983,079,677,221,891,990,773,194,633,493,390,200,687,333,
297,627,606,574,294,522,779,949,809,406,353,715,986,083,213,868,720,016,758,
019,351,722,416,858,833,518,144,673,150,704,137,725,005,859,028,486,338,047,
121,431,318,371,905,938,983,395,885,994,074,769,795,263,354,892,436,158,067,
105,629,853,942,479,980,015,198,168,365,713,482,228,762,297,332,071,636,410,
039,966,550,309,737,640,722,227,255,769,956,421,390,806,269,094,643,504,421,
789,588,568,029,083,691,080,605,172,670,399,527,068,678,052,671,410,147,937,
560,158,789,585,872,288,885,285,051,666,516,502,128,724,495,916,647,430,881,
299,454,115,744,412,042,824,493,710,044,771,160,325,863,802,784,029,376,330,
682,796,072,292,764,043,200,833,329,357,214,028,338,120,233,079,954,610,888,
837,648,867,788,527,790,434,753,453,080,576,706,392,878,578,256,193,834,189,
640,116,115,649,199,928,524,444,811,153,034,270,461,224,792,141,082,843,606,
981,508,799,460,034,283,339,861,469,075,834,870,453,730,063,969,438,971,588,
887,343,740,950,352,576,802,462,255,659,153,856,669,847,810,673,937,230,587,
213,403,979,200,335,534,212,583,937,116,068,414,818,390,406,862,708,965,515,
455,604,489,474,718,965,055,535,351,992,395,153,259,299,751,039,782,200,632,
623,886,050,630,732,480,630,715,135,319,943,259,437,765,274,343,804,356,164,
493,905,208,257,583,358,321,794,760,520,099,625,075,485,431,772,973,051,764,
041,413,765,623,773,122,049,608,726,682,499,928,048,392,534,785,157,231,131,
993,787,063,349,798,454,031,431,075,959,609,291,140,125,638,988,549,845,267,
295,532,011,952,065,973,146,117,963,179,230,905,840,672,492,387,967,383,021,
174,402,889,168,727,158,044,697,464,121,569,904,983,193,391,630,615,679,712,
900,234,779,659,441,540,173,343,376,880,550,120,147,764,645,127,258,405,626,
841,326,527,241,541,187,452,121,548,000,915,826,769,804,559,903,420,223,437,
070,702,312,280,614,778,651,631,982,656,141,773,086,139,170,779,035,578,387,
455,453,097,591,510,081,123,815,385,161,765,829,386,625,079,620,525,188,878,
795,460,202,872,280,086,726,116,210,364,643,541,904,205,720,367,012,627,258,
225,276,072,056,702,237,802,028,370,304,874,331,617,353,133,452,297,736,456,
679,015,879,199,132,131,186,304,983,756,911,716,893,041,319,718,837,505,490,
372,818,347,346,785,157,736,699,313,307,240,621,812,679,287,202,894,085,806,
109,094,085,679,249,272,944,901,573,268,539,005,304,895,979,823,758,738,291,
767,932,929,062,257,098,565,056,500,745,505,713,350,743,028,169,045,823,290,
623,389,066,386,172,890,294,269,429,973,008,049,041,807,509,848,956,219,676,
191,580,933,847,876,865,543,589,750,586,584,876,660,566,756,121,506,677,246,
094,794,993,592,908,375,624,424,008,237,558,411,473,421,512,353,430,085,351,
403,485,979,160,853,506,418,976,174,577,556,082,545,805,132,186,901,618,414,
652,378,088,735,952,530,888,266,070,637,788,540,528,151,910,483,457,161,803,
488,642,801,265,284,039,769,971,675,374,070,131,398,112,164,229,431,155,106,
574,095,924,230,060,210,478,565,219,261,017,710,183,092,863,673,908,498,395,
014,347,481,272,035,567,536,601,667,822,869,077,769,769,064,046,485,976,951,
295,419,922,193,353,459,638,095,240,282,641,987,968,539,196,693,553,535,757,
235,118,338,960,091,570,092,159,553,713,280,576,675,074,191,143,274,166,117,
065,416,090,635,967,983,219,509,754,398,462,762,430,587,782,224,433,380,203,
845,572,000,142,712,083,756,132,414,134,860,600,064,971,873,916,773,970,867,
381,981,996,538,673,076,295,307,056,916,986,768,745,588,008,883,842,773,153,
565,066,908,359,489,430,485,573,411,373,688,513,002,388,598,623,279,941,488,
681,335,574,895,629,249,830,831,520,442,636,684,583,830,518,571,373,722,848,
105,762,013,981,044,307,382,200,906,278,357,027,764,008,029,557,030,981,728,
452,656,579,187,807,064,941,686,110,536,587,308,214,687,265,436,299,759,411,
787,640,987,902,747,416,195,727,878,539,702,696,356,922,958,541,819,271,243,
447,038,491,492,059,186,896,247,191,151,643,000,091,688,095,781,645,874,532,
035,633,205,147,523,399,027,651,341,948,251,686,082,332,480,956,403,772,770,
305,054,457,999,300,814,428,484,274,067,421,500,163,798,788,131,817,009,560,
247,946,254,206,048,322,863,452,267,288,477,931,118,562,195,165,224,695,817,
514,019,174,822,531,194,640,824,013,512,976,692,296,845,782,720,058,336,529,
354,839,648,207,113,871,590,789,165,865,695,497,774,568,990,522,226,097,960,
975,957,328,834,067,446,173,213,288,339,767,701,173,322,501,133,429,686,555,
689,981,193,584,231,538,329,932,536,536,363,141,236,584,041,790,201,054,654,
831,346,027,375,266,275,970,124,752,277,474,075,414,633,379,056,790,502,385,
797,404,563,724,131,384,574,746,836,143,130,679,335,186,346,754,451,069,512,
581,814,509,777,631,923,822,963,416,338,904,105,269,240,998,445,791,803,383,
301,254,492,638,645,718,665,788,577,897,895,468,967,176,341,991,299,719,606,
853,231,857,976,628,014,932,028,414,709,067,724,993,621,697,305,809,046,535,
371,297,691,565,451,007,216,839,842,222,810,389,100,922,293,091,124,518,597,
271,287,377,823,290,966,772,138,214,141,161,605,551,406,481,243,622,530,863,
426,701,899,769,578,532,338,125,308,534,810,829,080,282,152,998,825,406,387,
779,467,988,739,422,242,464,903,053,985,753,306,008,549,654,934,694,839,562,
563,216,519,093,092,936,806,939,639,848,872,899,868,024,392,878,400,030,352,
904,658,506,189,253,269,785,886,594,743,629,169,835,906,758,473,167,210,906,
727,804,169,849,134,260,653,553,806,532,698,508,260,897,444,009,609,815,627,
152,336,545,684,944,606,702,098,545,785,288,173,915,727,856,699,784,563,510,
550,480,227,919,838,970,370,750,841,625,857,497,793,091,641,876,220,996,720,
226,537,490,293,520,539,854,937,529,285,019,794,697,319,051,646,176,036,643,
040,785,714,638,331,925,596,173,838,484,206,613,112,796,486,265,572,916,028,
322,877,904,469,156,334,065,475,629,013,718,550,508,623,683,724,563,477,739,
823,675,533,247,375,390,815,213,545,275,003,105,130,558,416,450,183,747,038,
747,085,530,935,385,928,358,762,075,276,665,839,800,520,084,981,254,803,571,
818,762,941,711,298,157,200,338,076,608,349,534,662,286,855,937,053,610,978,
519,705,475,364,988,884,712,554,398,309,957,902,710,386,168,727,409,337,164,
078,766,863,999,705,738,471,320,536,492,740,137,093,956,709,736,145,565,759,
840,124,957,624,155,505,268,578,514,094,978,634,659,978,542,373,789,366,288,
775,255,225,646,314,443,959,627,404,202,959,825,808,712,618,031,059,377,517,
502,338,006,947,975,807,622,482,833,646,126,731,370,897,839,303,548,391,179,
138,064,718,482,216,986,407,033,156,643,717,643,958,852,539,827,510,315,911,
765,505,810,926,114,267,169,865,606,527,989,409,057,106,730,202,703,907,359,
825,302,008,012,993,142,485,760,415,047,778,076,201,483,673,105,134,841,924,
001,919,820,903,711,416,594,213,403,489,894,084,167,735,144,381,435,760,615,
031,481,695,396,211,926,240,648,026,702,700,231,841,972,063,432,852,116,019,
198,240,713,431,769,148,376,963,608,240,442,936,025,701,862,850,325,297,199,
318,920,784,982,774,068,605,822,057,683,763,225,084,219,396,385,470,309,095,
403,093,373,926,357,607,706,532,755,796,478,361,294,817,185,417,197,508,318,
056,403,310,217,787,540,357,719,711,696,417,076,003,641,397,188,112,438,800,
582,834,074,285,437,918,981,452,595,122,463,275,398,323,558,020,043,137,405,
140,332,914,076,804,422,338,738,174,176,893,731,477,771,529,544,176,720,263,
771,241,001,912,786,197,488,835,522,861,373,614,344,390,028,228,928,006,399,
428,699,323,465,248,969,470,364,812,159,266,194,803,149,205,354,569,594,559,
801,085,918,142,573,170,656,960,491,403,226,180,553,925,229,549,448,824,183,
536,037,406,358,404,581,494,500,704,691,771,971,732,364,741,848,038,571,045,
513,013,762,306,512,810,755,589,897,003,655,939,314,037,225,898,565,726,809,
959,255,588,586,897,117,475,533,475,464,531,110,857,899,237,196,195,490,244,
500,927,671,459,837,945,381,355,278,423,633,221,149,774,649,414,086,997,460,
287,783,374,964,325,977,686,284,708,607,096,486,036,697,492,029,996,627,249,
335,615,433,852,362,563,690,322,931,730,545,344,201,593,781,734,979,907,452,
654,583,373,823,901,812,314,041,772,274,131,841,492,114,615,460,967,422,417,
792,409,767,886,759,134,879,378,594,622,894,867,012,279,477,463,058,884,871,
871,899,132,169,812,730,104,885,182,334,093,242,362,374,070,064,223,169,552,
282,174,901,676,875,179,591,494,347,250,882,590,372,132,213,087,302,405,559,
632,828,471,738,588,260,007,984,398,332,495,245,137,021,082,612,192,904,217,
518,892,943,146,540,739,120,922,146,716,773,375,687,795,684,354,406,822,383,
099,226,359,187,114,415,291,852,563,770,958,933,168,172,385,048,610,741,870,
447,348,801,895,824,999,559,850,286,654,163,690,603,796,767,158,271,554,595,
136,442,449,055,882,034,060,800,617,046,655,248,137,837,361,234,525,542,725,
115,807,582,160,637,313,216,291,459,415,543,643,770,438,415,326,824,043,638,
202,113,153,534,837,583,267,087,493,307,932,789,607,477,945,407,264,368,629,
406,565,741,658,312,506,262,511,023,219,072,693,477,398,491,806,835,990,566,
303,943,817,426,148,522,654,489,154,311,748,399,992,851,021,399,804,566,227,
828,905,123,221,113,102,073,710,710,743,503,855,566,685,392,487,025,959,454,
288,190,127,244,018,668,361,868,240,022,620,097,344,732,053,047,864,990,472,
235,840,153,715,768,170,133,923,909,022,297,790,444,934,606,689,965,762,388,
368,677,605,544,138,925,154,918,834,573,524,120,970,736,538,031,928,947,100,
647,480,509,760,261,188,821,679,500,594,436,942,359,237,016,975,771,709,959,
851,862,834,876,825,239,043,054,337,384,048,369,157,658,077,688,295,126,988,
222,990,085,278,229,580,506,484,025,030,013,770,098,133,009,665,975,261,912,
355,602,154,669,404,738,696,765,789,771,926,126,473,334,429,281,250,453,128,
147,973,777,840,792,808,986,522,722,316,949,292,140,223,431,759,113,135,850,
258,457,460,153,157,739,986,708,933,360,350,628,490,238,610,152,139,163,792,
903,667,410,043,476,525,917,695,502,314,909,814,488,780,996,970,523,709,709,
308,314,113,361,698,823,030,955,921,432,869,084,252,379,355,540,544,416,978,
113,179,772,414,171,952,587,721,401,197,168,469,984,110,796,452,469,239,891,
447,276,360,204,653,689,213,681,745,688,947,699,828,499,120,498,157,569,695,
978,261,886,563,747,329,756,455,127,207,584,613,818,933,765,894,820,543,320,
722,188,898,840,916,096,044,096,291,838,752,556,465,936,271,814,140,854,467,
753,067,645,310,156,585,420,137,140,843,593,647,374,009,405,404,772,575,368,
747,553,735,227,636,544,199,351,114,460,686,760,780,330,392,598,181,366,552,
609,741,605,766,460,199,695,823,782,663,516,310,325,104,583,436,096,412,455,
441,496,186,767,726,098,669,058,727,752,252,616,404,010,998,510,425,529,354,
055,514,281,366,565,525,046,641,239,031,239,407,616,202,335,817,359,779,940,
137,957,606,477,044,332,218,321,115,928,543,561,427,619,213,185,074,774,735,
347,760,883,562,334,925,258,829,819,693,450,349,257,192,961,707,395,588,257,
635,467,697,630,242,157,675,346,651,196,467,682,394,303,936,717,949,227,699,
411,918,316,584,515,004,489,124,665,523,964,681,685,630,291,873,453,309,329,
773,902,762,174,440,247,453,565,481,640,547,853,595,119,160,860,536,482,365,
219,610,104,814,104,944,676,722,938,230,779,913,171,512,168,597,683,365,796,
938,753,739,688,423,196,179,268,081,622,203,258,549,822,646,240,391,277,280,
078,795,351,597,210,329,093,493,231,532,888,293,315,803,191,498,656,048,289,
525,378,193,756,610,583,113,705,514,515,877,308,321,706,641,885,565,428,241,
553,686,121,844,308,061,448,107,256,743,940,520,727,493,964,729,495,247,143,
019,531,408,767,242,983,751,309,193,108,196,410,114,844,213,703,457,268,827,
037,851,235,877,761,594,618,166,775,975,144,754,037,692,737,433,351,076,274,
062,169,283,679,723,715,296,929,118,837,236,275,872,628,340,494,537,276,952,
439,268,332,571,198,212,281,684,492,087,465,370,990,345,328,317,560,998,015,
729,620,341,936,850,580,339,709,901,831,563,078,873,449,447,753,827,124,820,
319,727,134,759,721,899,867,646,353,313,356,186,190,104,065,156,072,504,973,
523,514,630,477,391,677,143,366,475,089,266,836,383,302,710,521,932,442,916,
339,307,121,277,089,634,777,615,613,183,770,455,103,882,282,628,913,746,044,
824,342,790,622,668,153,530,421,618,737,691,253,869,536,383,615,178,343,165,
466,612,022,321,395,473,043,767,074,097,346,031,365,797,897,147,963,597,550,
347,289,191,716,399,642,384,481,280,165,486,472,034,062,808,746,644,934,249,
914,169,418,539,602,336,775,977,184,630,125,200,010,537,724,807,403,691,957,
464,004,809,200,097,662,598,814,811,071,009,539,059,460,597,741,331,300,634,
103,817,215,056,309,500,066,354,496,544,368,555,216,745,595,834,617,027,541,
193,909,115,217,845,809,175,793,081,468,901,510,922,457,410,422,715,685,314,
244,057,803,592,941,835,670,559,839,452,671,947,635,981,555,536,119,174,912,
294,407,937,711,410,686,049,882,516,407,514,428,910,209,828,244,390,921,927,
198,537,569,543,517,854,628,167,055,913,756,863,448,651,523,582,831,926,678,
711,542,171,120,784,325,425,334,838,360,408,177,981,903,417,108,977,196,788,
967,834,906,494,801,588,842,901,192,421,357,915,411,560,539,677,149,802,726,
938,751,361,139,138,655,060,319,156,367,656,326,112,473,566,653,104,027,884,
474,267,694,527,676,656,884,694,666,441,307,226,103,513,133,949,666,192,361,
471,040,675,961,939,996,505,411,636,361,313,012,376,816,286,299,224,703,187,
100,872,468,233,953,823,803,127,615,857,070,926,706,144,510,492,200,363,352,
649,696,082,479,183,653,792,619,093,670,129,871,434,417,499,449,057,453,899,
731,871,207,061,932,637,689,297,758,654,325,293,276,323,809,942,962,025,891,
716,657,319,054,927,041,376,393,509,594,985,559,911,415,793,364,202,862,405,
951,916,453,024,400,721,854,987,187,244,548,690,105,329,828,724,929,261,862,
683,833,307,207,090,136,232,482,280,193,153,981,581,814,168,537,305,374,269,
071,371,122,270,329,926,997,902,899,593,016,110,595,491,030,736,667,988,309,
449,861,587,638,123,021,225,616,475,667,124,869,618,252,134,430,221,679,566,
832,512,847,124,670,380,705,405,943,282,768,041,950,593,745,048,859,950,409,
862,391,247,659,396,448,580,154,178,490,265,687,045,624,445,910,392,392,525,
973,043,980,076,915,361,376,886,491,723,920,841,142,352,312,068,032,833,452,
677,614,367,808,827,041,836,467,015,235,823,275,087,907,065,878,041,828,396,
653,109,063,951,785,139,009,697,733,672,634,011,302,970,744,314,305,750,926,
216,412,789,957,603,059,262,460,207,507,523,390,867,806,110,506,753,817,406,
024,044,673,832,195,213,722,534,309,748,021,466,503,445,206,504,806,988,314,
445,658,459,135,592,271,493,296,374,981,841,031,764,158,006,479,449,491,703,
630,016,481,896,387,934,854,068,059,595,322,214,500,250,072,665,996,947,158,
394,080,638,627,652,868,979,649,796,739,296,249,363,343,013,863,325,541,395,
921,375,286,475,727,628,358,735,187,049,027,126,641,626,495,011,845,116,416,
429,527,732,365,835,416,413,581,757,916,517,363,895,199,748,912,080,845,802,
880,855,844,831,762,811,370,415,843,294,705,176,769,122,377,535,289,880,286,
203,302,908,777,643,794,412,511,673,980,078,332,581,795,493,195,083,375,375,
384,251,921,789,571,016,116,164,895,661,100,319,422,992,986,503,758,462,088,
012,562,865,354,546,615,589,369,292,735,809,267,811,866,407,192,800,095,030,
886,978,226,107,863,152,440,533,150,483,609,583,428,797,385,492,382,449,811,
666,320,841,325,954,935,252,949,424,873,077,342,455,344,233,584,336,140,959,
191,027,454,978,267,704,286,770,798,711,561,855,153,188,056,166,211,051,805,
718,836,510,750,852,295,339,978,544,245,890,309,088,959,471,942,623,827,190,
736,523,291,200,768,801,842,536,172,195,486,235,604,720,290,476,148,656,038,
293,453,165,658,550,114,216,530,592,235,400,200,506,416,827,360,980,503,999,
213,907,922,487,226,168,848,194,298,075,406,935,609,115,795,642,031,918,582,
197,977,714,144,155,043,238,163,072,713,937,792,747,664,133,362,639,360,928,
132,703,207,273,992,734,945,457,410,056,931,316,826,754,165,289,150,561,773,
730,602,375,584,694,533,396,046,247,441,230,824,288,352,499,232,101,602,629,
650,444,537,487,717,808,036,427,132,250,198,444,745,589,508,750,139,874,712,
177,880,122,539,367,439,222,848,362,186,489,269,397,858,854,928,999,211,844,
515,460,028,326,236,401,934,193,512,499,421,991,170,600,460,580,275,321,155,
037,619,062,783,700,273,618,483,422,257,677,509,518,157,394,598,976,291,157,
330,335,493,300,995,031,409,435,322,480,023,037,246,597,610,453,485,792,759,
618,785,566,961,048,372,962,285,468,723,109,014,158,039,052,740,832,112,170,
747,672,339,237,066,670,460,781,762,725,803,991,406,877,465,958,167,026,641,
016,450,761,269,424,412,613,411,878,100,150,769,768,276,952,269,164,930,017,
892,765,537,236,039,478,167,955,293,921,801,513,525,201,269,329,408,894,350,
328,297,632,552,284,624,176,661,003,563,329,485,059,467,626,871,752,081,546,
467,392,065,887,806,186,390,860,596,085,021,741,479,399,433,326,429,520,250,
974,812,801,682,732,918,520,134,735,762,812,489,574,325,166,447,133,800,323,
574,752,629,882,890,374,362,413,057,362,009,159,610,615,144,516,628,350,633,
159,861,534,496,802,292,831,123,724,031,402,959,830,045,799,086,546,272,722,
708,175,831,905,043,431,034,690,942,844,777,916,208,101,143,150,736,673,744,
673,829,181,959,384,817,375,840,642,599,060,648,205,719,809,132,737,218,827,
729,263,796,227,315,953,999,431,579,974,324,780,605,042,132,458,478,054,299,
292,880,399,315,496,436,465,505,372,783,409,046,896,928,781,629,619,421,793,
461,716,599,062,386,222,908,906,628,197,836,993,305,449,829,156,486,053,614,
908,013,850,373,049,268,368,140,163,747,128,584,165,980,394,031,060,058,733,
810,025,995,234,516,060,684,861,455,695,636,963,009,399,451,969,353,229,554,
701,868,701,760,198,245,784,594,086,435,567,551,561,224,369,651,155,424,792,
402,185,604,109,931,120,583,725,892,670,332,238,482,272,073,021,427,417,081,
254,221,080,814,635,302,104,721,938,932,534,012,398,199,155,149,852,087,671,
938,533,332,053,395,966,332,422,518,910,922,421,230,386,097,833,595,508,912,
725,792,695,240,504,660,800,370,411,599,238,039,328,906,293,615,483,775,936,
517,736,057,352,758,406,044,476,439,344,036,194,254,948,634,547,806,748,593,
207,299,804,932,662,997,825,443,459,670,496,987,147,004,263,772,075,870,874,
591,715,610,787,125,351,124,932,153,778,170,489,901,322,307,027,773,803,245,
099,820,826,083,428,943,641,582,603,542,202,764,358,586,695,126,611,440,445,
559,401,181,926,516,014,188,653,494,009,874,211,256,349,635,006,715,597,734,
995,336,157,049,352,468,558,445,016,686,848,140,193,792,777,573,264,809,177,
775,451,418,755,940,599,721,580,210,513,303,154,300,146,046,591,422,737,232,
307,466,063,149,523,788,018,042,142,433,586,029,281,897,877,065,018,652,232,
392,369,281,417,677,105,766,699,972,463,654,535,342,458,611,529,443,596,151,
370,307,761,128,679,979,693,995,576,906,508,564,067,873,583,139,351,784,669,
856,576,430,530,970,418,028,181,772,800,214,828,502,386,420,370,817,111,368,
002,421,079,991,698,663,630,280,171,209,805,495,282,803,810,393,061,762,231,
598,652,471,228,055,077,618,514,092,504,587,061,102,581,353,071,756,173,280,
164,834,860,024,468,546,199,463,471,460,289,038,457,420,231,709,257,404,769,
417,545,350,917,700,788,813,386,902,856,062,549,356,937,895,688,956,504,335,
163,636,916,789,190,655,201,362,308,720,621,562,801,021,394,189,835,413,180,
421,676,361,717,178,890,090,814,526,466,919,671,511,562,346,766,174,461,949,
077,816,010,148,899,977,035,928,115,724,705,295,333,791,372,587,011,600,048,
428,920,800,698,362,811,245,530,224,181,151,959,604,727,088,361,979,445,850,
330,413,912,397,872,971,387,107,750,273,759,819,659,369,471,927,973,462,764,
087,773,960,265,718,705,014,576,283,241,526,303,011,628,634,886,412,893,591,
890,988,290,117,995,276,993,982,395,925,386,372,157,714,854,320,760,469,923,
035,449,156,813,295,405,951,477,366,656,608,671,217,063,014,499,974,837,354,
171,302,042,339,090,990,234,699,677,346,295,199,715,932,299,450,784,296,311,
033,558,639,886,638,195,612,744,305,303,266,542,671,124,101,980,467,901,365,
916,158,561,132,669,279,739,026,060,289,270,713,639,260,763,104,866,676,401,
271,065,218,646,746,331,222,305,246,911,537,962,830,944,663,938,577,935,956,
942,542,641,597,703,566,432,074,601,048,957,253,768,451,274,896,216,041,887,
408,517,678,990,189,540,315,684,710,061,130,491,732,422,139,190,304,002,903,
607,435,893,094,715,531,501,688,580,613,713,287,861,864,218,810,973,273,728,
561,493,575,375,027,048,053,287,226,095,893,051,527,251,743,232,341,639,535,
859,119,938,685,152,902,294,965,545,064,763,940,654,785,549,512,314,327,840,
737,078,819,942,610,327,601,716,462,581,858,995,949,818,563,039,509,423,782,
585,067,832,807,958,037,809,355,491,721,696,056,601,669,592,807,533,540,814,
392,548,324,578,923,638,449,328,287,484,046,297,975,680,857,785,297,762,576,
744,728,546,456,828,098,911,945,552,173,348,878,348,070,890,717,846,292,091,
870,795,293,386,706,137,296,002,566,924,199,032,148,743,256,851,803,859,052,
499,484,550,220,893,961,840,480,242,601,412,148,859,790,995,322,346,542,498,
102,905,923,889,772,423,124,572,919,641,414,319,533,383,286,796,470,375,180,
807,221,780,080,137,721,255,595,038,636,606,854,193,891,978,429,894,629,076,
389,380,163,931,079,243,029,455,489,207,966,413,226,760,850,372,837,258,789,
554,467,911,607,022,118,596,384,270,317,969,815,141,505,294,078,184,158,320,
582,727,410,060,232,471,852,747,687,573,415,414,026,151,728,581,720,237,895,
871,742,124,806,572,379,765,144,648,725,049,459,382,470,567,407,609,224,875,
232,309,423,180,048,633,318,275,860,663,998,536,463,281,791,857,571,922,154,
785,168,492,141,472,946,011,434,450,568,457,829,247,606,433,837,286,757,731,
423,468,542,114,547,522,422,021,160,996,290,536,293,257,155,985,098,998,421,
377,601,614,894,823,248,567,902,819,422,646,265,597,226,112,573,440,558,146,
330,521,351,116,333,204,864,333,702,564,219,308,713,339,719,093,418,678,592,
469,739,340,557,564,623,511,532,194,404,496,984,292,277,560,415,134,830,191,
618,661,895,752,693,775,775,990,240,017,105,247,212,951,283,456,918,280,972,
896,542,443,542,269,490,588,168,419,399,053,505,917,146,859,788,046,153,083,
201,743,039,394,962,369,804,177,285,933,329,362,037,261,158,428,739,569,029,
473,880,237,819,693,887,117,589,111,781,269,849,172,909,925,894,862,162,506,
580,444,939,347,788,303,311,157,980,844,651,255,188,997,776,319,901,867,430,
309,342,344,839,578,683,479,063,952,666,405,989,596,037,746,041,469,261,788,
062,580,834,933,388,078,578,389,060,707,876,388,065,659,864,278,915,303,624,
415,466,089,766,332,724,686,681,639,450,466,909,412,870,503,091,862,182,491,
235,422,018,976,752,898,513,797,672,450,115,590,403,766,467,874,207,472,968,
989,495,331,296,022,451,037,907,648,531,237,597,154,063,850,927,789,848,089,
690,747,371,822,046,608,213,124,970,642,784,340,639,449,068,122,344,701,951,
445,160,993,866,959,358,177,463,492,719,031,074,549,699,218,066,780,804,580,
785,042,019,543,163,173,722,297,498,435,855,253,392,891,721,869,975,628,388,
809,378,825,216,587,859,537,132,470,663,450,134,824,449,880,208,385,856,399,
467,717,270,197,097,268,989,018,350,303,765,478,543,320,891,740,716,924,462,
343,284,335,922,660,833,568,767,332,916,250,549,614,061,297,960,871,058,304,
716,094,534,356,163,075,742,826,049,449,664,995,440,932,647,972,028,658,763,
933,584,351,728,387,121,685,387,393,381,767,219,003,316,214,264,717,446,518,
730,666,055,466,586,642,883,704,214,612,515,754,329,988,098,687,502,152,880,
834,760,597,357,557,194,773,846,225,238,132,134,146,462,519,491,900,376,269,
067,253,438,684,504,383,457,272,936,082,719,816,188,892,482,047,728,585,774,
303,008,322,470,019,587,542,362,011,498,883,544,522,749,215,641,286,598,042,
628,474,702,430,742,978,174,946,206,413,909,468,180,870,697,907,863,137,248,
547,989,957,357,365,450,651,349,662,829,341,562,994,457,254,028,541,782,379,
250,438,990,892,372,280,874,616,317,172,065,831,251,126,744,686,467,482,910,
038,405,961,562,239,375,101,834,348,775,559,460,850,243,904,954,285,745,431,
452,831,895,624,683,030,035,154,678,250,647,532,997,392,141,450,500,104,009,
263,539,646,618,967,914,041,622,373,510,145,463,905,701,685,005,165,983,566,
818,461,318,166,065,197,040,762,340,675,750,281,035,375,361,624,414,735,648,
396,652,207,854,002,716,109,893,594,961,048,136,757,896,050,293,056,556,156,
460,630,705,712,296,337,186,699,826,096,397,610,402,583,274,394,083,055,018,
562,663,444,312,504,982,871,506,528,901,836,045,362,636,699,460,522,184,009,
378,811,420,098,115,342,829,822,323,806,420,080,162,758,170,134,164,728,260,
791,352,463,759,286,618,252,067,149,023,567,252,237,284,411,438,706,601,086,
869,567,504,627,284,808,333,869,721,568,134,603,534,303,204,825,753,577,846,
859,419,798,893,102,656,482,107,366,590,071,284,837,826,327,851,766,978,699,
271,703,974,833,021,721,259,766,238,455,633,194,716,397,836,081,339,275,660,
303,041,418,509,537,137,975,918,100,188,456,402,667,519,914,362,429,314,875,
025,195,615,531,823,565,908,929,719,469,917,998,057,838,470,741,336,908,345,
118,120,717,834,167,672,683,162,275,282,768,235,965,926,354,041,813,315,753,
423,773,570,174,401,256,084,001,261,286,014,226,650,581,282,466,771,298,950,
631,433,702,993,839,592,533,268,485,033,667,025,707,554,492,194,672,048,964,
678,163,758,587,939,473,941,473,513,852,519,185,908,644,220,478,853,345,541,
806,834,695,156,756,402,476,659,562,052,688,077,969,611,817,576,714,982,703,
731,496,325,896,462,512,790,931,447,506,455,921,071,140,973,169,113,360,052,
742,143,801,655,757,602,719,247,485,106,306,307,012,527,902,809,276,920,891,
334,129,819,852,057,809,052,366,348,235,857,930,838,632,556,621,277,933,220,
477,106,609,493,165,232,060,743,960,140,560,761,782,236,803,964,434,547,979,
189,990,803,345,021,767,052,542,642,384,417,230,044,489,787,029,293,843,945,
738,207,831,472,601,755,206,008,792,765,508,014,136,515,364,736,174,159,363,
346,847,524,189,922,634,820,417,465,122,037,346,857,599,920,944,782,094,597,
433,042,301,810,685,445,676,404,742,165,648,487,326,706,780,650,111,287,471,
346,632,295,888,991,987,947,767,702,874,673,530,605,237,878,493,311,137,420,
789,960,966,387,672,795,872,021,707,032,114,467,802,911,201,730,157,915,173,
973,289,248,562,543,284,645,403,477,964,837,430,518,530,436,729,355,235,119,
285,525,496,885,978,510,368,410,714,564,036,631,045,613,520,059,525,420,220,
413,357,777,266,958,490,299,584,183,551,355,373,027,439,857,286,877,592,556,
979,163,554,517,739,588,775,371,836,209,832,719,435,386,981,279,929,595,590,
271,672,842,866,476,286,639,774,425,521,448,192,897,119,215,159,325,677,721,
455,116,703,034,096,870,547,146,327,107,017,135,215,488,488,264,500,820,814,
427,271,324,429,188,257,371,115,866,546,228,929,107,803,004,159,644,318,178,
417,472,791,848,824,139,853,904,034,017,562,173,574,180,520,029,122,908,635,
267,320,548,690,969,216,706,807,256,359,078,605,380,282,047,465,154,132,300,
868,237,140,167,039,338,571,069,419,658,182,513,378,545,938,069,497,828,232,
945,571,378,180,341,291,625,094,132,416,338,977,263,170,550,461,303,720,417,
411,362,772,661,899,073,885,552,517,516,414,664,113,224,363,772,540,429,351,
345,637,022,605,157,975,702,899,252,691,845,206,252,505,250,147,319,573,614,
066,509,135,225,862,876,247,701,683,625,873,310,653,524,976,382,033,003,820,
793,991,670,884,799,298,873,861,764,417,626,053,006,449,313,983,206,660,477,
320,030,812,643,424,016,866,620,295,189,772,868,671,554,820,403,650,258,807,
419,518,839,447,336,330,471,161,094,111,252,563,339,155,194,408,184,109,275,
536,930,017,968,073,831,053,860,562,446,309,803,300,374,114,394,063,564,280,
718,745,143,533,796,887,874,354,438,989,584,183,303,443,974,872,569,367,294,
390,382,605,561,809,465,149,832,816,802,816,441,530,170,772,627,755,901,063,
456,639,381,548,708,701,051,374,924,621,924,554,721,122,951,381,776,651,061,
005,278,965,659,228,518,657,848,217,594,612,767,949,677,641,193,252,566,816,
855,929,837,746,160,617,232,379,012,915,639,611,190,430,954,489,061,196,968,
383,963,044,973,735,256,947,882,765,508,486,942,275,044,994,288,858,771,793,
036,025,381,204,053,344,789,752,365,995,835,608,993,012,684,120,029,510,541,
634,414,458,438,623,447,097,629,131,916,923,037,519,720,135,785,956,318,386,
842,362,008,505,288,229,533,382,662,278,015,725,090,682,157,556,420,702,102,
628,212,694,498,083,847,025,230,099,774,476,366,107,183,819,357,280,819,046,
174,241,914,509,569,183,948,187,417,078,307,890,123,382,215,182,672,521,286,
445,574,618,071,175,622,203,979,818,172,722,892,526,372,590,918,614,950,315,
521,121,714,141,405,144,975,351,876,212,615,397,746,699,122,491,741,581,927,
302,783,435,283,025,820,160,112,080,406,279,671,673,105,503,635,572,239,541,
165,615,497,686,469,722,168,973,555,765,829,222,411,014,368,293,086,465,226,
353,340,033,634,027,628,454,565,356,406,391,959,624,835,263,645,339,752,408,
051,324,830,842,879,220,808,427,467,717,906,999,811,774,742,878,971,471,631,
837,525,741,855,474,544,177,164,507,950,443,896,394,230,418,762,703,874,037,
689,321,014,544,722,597,526,763,746,784,513,345,881,147,360,907,136,307,709,
518,394,714,812,577,509,716,679,799,305,753,555,782,200,145,800,250,456,222,
385,091,392,271,529,289,376,980,853,244,052,230,355,158,921,187,453,614,387,
952,145,529,803,620,495,637,680,045,221,936,472,942,718,363,691,273,169,134,
725,281,609,071,856,452,599,525,297,016,238,841,374,302,227,310,697,524,578,
746,093,934,215,107,018,151,812,944,816,628,360,837,361,875,256,880,948,868,
193,456,453,860,562,403,821,983,178,255,261,564,473,864,825,554,819,780,339,
390,127,313,626,712,806,701,891,606,567,443,185,777,034,692,948,591,346,582,
082,656,350,004,278,203,817,660,802,158,873,487,700,602,595,848,695,770,004,
959,772,586,894,703,588,556,519,115,766,187,776,540,478,040,704,655,047,322,
647,996,062,940,450,477,566,335,197,240,867,615,594,460,617,753,429,990,427,
714,536,155,495,484,320,798,961,188,102,443,569,021,679,826,397,710,226,194,
009,639,287,030,918,044,889,626,848,328,972,909,717,249,352,077,138,864,788,
293,991,397,837,732,517,575,628,064,616,667,036,332,681,417,080,043,503,800,
482,005,635,685,637,178,145,770,057,499,657,841,051,479,523,066,773,678,788,
999,049,225,735,510,379,295,100,310,235,714,274,557,510,882,284,226,404,946,
301,603,153,564,478,677,348,837,552,040,246,677,200,079,276,977,559,566,700,
520,191,859,477,541,135,319,782,266,061,353,518,231,655,002,183,333,704,811,
681,935,419,622,065,056,397,864,066,940,038,829,621,344,743,690,985,752,883,
601,802,597,481,157,644,574,980,007,716,371,842,710,282,594,984,810,734,620,
568,184,145,043,951,305,156,553,905,110,072,435,845,891,349,756,244,054,402,
196,943,674,250,569,876,613,017,664,061,534,192,603,659,884,523,455,417,665,
486,750,740,541,068,325,449,465,765,285,638,084,500,567,954,828,306,834,331,
574,786,467,214,608,169,991,765,664,038,332,242,336,492,107,679,080,383,582,
380,330,822,288,116,622,207,459,346,478,154,389,482,208,927,047,547,017,170,
197,374,868,755,113,767,421,902,280,319,554,441,723,486,225,708,213,465,487,
994,025,272,456,929,620,664,447,652,722,321,969,505,570,602,632,870,683,827,
545,124,194,587,139,471,676,317,968,260,501,080,212,397,929,084,339,547,239,
376,193,372,356,399,046,308,083,105,747,662,750,091,981,731,422,316,811,077,
165,090,435,816,890,442,219,659,126,504,102,112,754,300,274,724,460,740,755,
749,397,555,696,175,071,136,070,512,386,699,478,121,226,101,498,202,683,826,
355,430,595,796,729,905,576,583,556,572,366,651,190,310,917,589,586,994,251,
751,613,445,970,542,224,290,661,328,926,157,103,119,084,137,638,833,642,445,
694,171,188,987,481,044,222,892,695,247,474,597,303,489,385,989,079,801,154,
647,328,906,536,182,052,477,534,343,298,591,361,052,835,198,601,683,815,247,
283,000,376,039,166,798,025,721,406,669,377,782,059,475,410,022,052,464,373,
848,568,493,744,756,752,800,248,085,528,224,439,737,250,369,661,001,026,390,
373,343,322,833,029,020,984,529,262,623,431,645,307,199,679,330,117,979,349,
056,844,860,470,335,252,677,028,517,390,587,132,048,175,625,014,978,685,837,
700,565,667,519,377,508,133,962,311,627,288,215,108,218,063,575,779,370,012,
184,398,769,530,058,865,380,382,517,181,930,084,040,115,215,670,126,483,354,
608,186,265,336,435,748,098,748,065,921,272,988,083,998,981,110,476,034,866,
748,105,609,428,105,601,563,495,263,432,979,199,996,455,897,436,437,328,354,
842,516,944,371,437,399,093,994,111,060,693,803,863,197,539,392,771,484,261,
558,515,484,314,775,345,181,541,446,078,115,279,798,049,626,234,942,788,959,
657,413,955,005,537,611,468,539,566,755,384,958,600,606,733,399,724,005,386,
413,099,174,280,031,238,612,183,770,593,903,019,803,965,263,623,906,191,931,
102,886,011,267,660,568,243,017,569,561,136,897,366,939,906,182,727,196,645,
959,324,353,600,209,389,566,828,479,888,535,285,289,005,135,980,612,425,705,
018,181,800,829,280,628,879,227,645,288,899,737,300,385,778,203,889,505,153,
443,380,440,271,038,181,152,667,265,963,669,393,959,354,676,944,993,231,542,
349,793,110,068,735,754,999,400,905,214,826,717,870,633,068,471,691,989,062,
130,773,782,917,637,558,218,967,542,357,431,313,082,729,863,803,444,959,721,
997,281,889,280,725,618,662,871,966,393,451,178,526,586,293,482,694,619,351,
503,450,447,516,540,779,310,555,278,713,697,569,462,305,123,980,871,310,066,
515,678,036,987,194,047,031,877,860,573,524,534,311,373,708,527,709,065,869,
268,672,229,543,417,888,967,837,099,146,337,760,349,253,721,825,350,789,923,
583,805,678,951,776,073,103,123,836,694,994,497,066,124,412,813,943,082,969,
291,986,996,086,429,988,917,628,858,176,587,439,930,038,528,607,967,494,228,
644,814,285,724,700,669,364,535,661,137,990,123,288,195,179,588,339,391,687,
307,494,549,357,232,778,897,033,888,787,932,209,349,524,138,563,665,385,475,
940,875,923,054,996,062,988,221,660,865,471,787,004,594,198,806,617,053,288,
123,194,744,306,612,395,705,075,536,016,295,352,678,202,583,865,746,113,919,
543,618,573,270,560,414,154,811,428,996,278,000,176,451,016,098,193,068,323,
609,140,183,742,562,783,181,264,784,201,021,697,084,554,149,667,510,640,999,
925,374,608,682,421,618,092,471,687,980,537,708,971,644,561,606,839,553,740,
194,620,441,229,645,460,981,373,722,421,372,959,275,659,884,793,102,048,433,
507,161,645,739,480,521,041,316,543,779,888,139,431,428,012,119,717,723,640,
654,191,755,485,221,532,819,414,740,027,400,711,736,002,877,455,933,924,956,
612,391,618,253,197,400,818,957,220,654,947,308,743,211,788,171,732,817,175,
276,119,699,818,447,390,191,392,576,356,706,946,989,237,190,160,817,663,811,
168,930,813,517,174,288,187,177,745,083,309,761,706,083,508,627,036,024,829,
955,558,553,476,303,385,429,331,231,780,780,642,466,776,547,232,945,151,873,
445,175,295,592,207,106,443,270,195,493,314,183,362,684,295,563,828,666,919,
259,245,180,629,085,592,868,863,810,604,898,743,184,557,203,777,070,867,167,
781,915,109,475,297,790,978,170,800,506,439,866,174,908,510,981,602,633,646,
812,320,977,098,376,709,243,287,441,385,688,654,726,514,980,536,512,700,419,
708,573,285,151,463,314,847,085,445,616,580,574,091,718,130,235,391,092,722,
130,565,228,625,220,385,193,177,318,881,108,476,371,664,940,939,914,149,537,
536,150,616,236,426,135,545,910,485,493,288,001,653,751,938,113,696,278,836,
678,880,907,831,214,949,914,532,788,774,418,330,575,083,305,061,031,167,978,
749,981,882,534,956,716,797,909,695,631,261,082,506,169,990,388,205,726,407,
706,380,973,037,207,814,421,798,570,632,893,087,367,073,054,736,958,767,547,
228,817,629,817,971,527,276,128,912,655,980,780,044,886,321,950,554,875,381,
116,738,172,320,174,721,691,293,243,706,689,431,716,815,413,186,470,069,236,
191,961,857,031,227,544,607,989,930,859,631,519,890,636,918,719,552,118,229,
856,452,531,413,009,234,244,614,994,242,070,837,887,774,976,192,151,152,350,
204,993,705,913,033,766,199,802,420,426,222,187,113,701,065,146,295,283,894,
315,847,021,619,025,203,784,334,961,980,190,274,820,872,275,872,270,967,890,
138,037,901,220,424,098,874,366,887,012,900,198,231,823,009,835,621,356,357,
294,442,491,555,874,703,870,168,267,257,373,248,772,269,136,357,714,420,011,
252,403,652,105,155,461,854,613,800,498,032,272,665,985,788,952,049,722,371,
245,316,794,503,665,835,271,170,094,225,359,928,996,065,712,923,065,030,340,
943,519,339,435,464,804,169,738,731,276,405,994,741,761,579,660,555,180,102,
281,387,118,572,884,252,222,431,555,897,001,192,562,609,271,225,610,006,862,
406,081,342,247,894,624,924,627,391,148,060,140,995,653,904,492,089,400,406,
315,768,445,128,651,849,804,479,717,196,795,002,571,451,468,452,088,235,151,
375,108,279,612,643,072,264,341,417,219,824,821,326,623,420,110,109,519,387,
183,489,884,168,391,746,680,960,857,931,202,978,854,771,450,976,228,321,213,
851,114,482,511,392,949,156,282,972,097,877,030,600,881,056,239,118,337,473,
552,951,303,246,002,359,701,515,407,097,798,111,332,347,575,541,181,502,927,
929,370,110,149,951,862,544,049,982,955,749,912,219,347,571,485,473,365,283,
171,626,106,248,496,184,507,959,678,035,673,255,057,307,409,814,145,636,806,
138,555,569,109,634,452,138,515,540,131,809,040,654,118,181,638,397,195,227,
925,265,192,910,973,083,209,501,634,045,713,215,923,906,899,566,461,595,461,
034,785,708,176,731,598,878,271,601,199,941,314,379,696,625,804,079,255,965,
726,144,773,114,524,180,650,276,459,101,541,163,141,627,259,163,012,729,597,
627,107,305,225,952,493,565,138,414,400,495,689,725,050,404,252,261,545,744,
242,352,512,243,061,747,094,013,276,997,559,348,380,259,527,701,008,705,775,
857,020,087,938,700,848,772,814,168,881,158,144,431,506,130,842,911,419,368,
095,780,395,378,814,428,522,178,771,393,135,218,456,429,606,865,514,045,393,
940,723,951,041,077,518,605,588,710,596,847,601,838,315,854,263,418,401,627,
514,589,107,347,670,246,381,200,242,015,992,461,187,572,807,295,554,572,054,
910,029,216,004,834,910,212,839,387,957,147,168,448,405,410,038,723,254,200,
380,741,552,918,926,328,326,493,567,842,507,281,457,631,111,130,146,420,578,
764,746,297,787,777,198,323,062,775,553,013,111,920,048,533,667,320,365,842,
060,014,891,825,144,655,906,458,830,833,290,099,051,956,963,667,096,702,892,
413,729,973,244,309,734,760,408,493,018,143,891,639,390,432,058,676,633,692,
201,930,765,816,296,729,092,702,194,763,542,466,020,619,412,735,806,668,866,
267,678,617,784,467,924,384,633,077,854,136,171,598,697,154,436,047,532,806,
292,873,932,132,353,878,409,138,466,548,494,498,610,664,579,159,550,584,783,
262,304,708,823,295,537,786,715,661,715,932,405,122,854,385,113,168,004,856,
842,629,168,466,357,297,497,003,032,981,610,373,318,701,926,642,990,198,054,
222,092,480,822,464,700,215,097,972,905,207,221,296,392,253,708,723,198,875,
620,751,966,335,851,840,900,532,679,067,065,743,752,060,720,245,753,053,530,
518,580,549,813,651,010,908,862,179,241,866,225,088,527,875,219,145,094,869,
463,799,065,903,464,201,533,330,928,535,133,504,468,342,205,406,963,351,428,
080,820,976,385,430,670,656,303,672,474,529,483,771,273,482,390,159,010,594,
622,049,608,562,469,898,510,646,767,889,846,622,838,487,924,657,977,554,319,
637,144,587,703,275,028,854,084,950,564,011,316,188,307,479,182,252,423,890,
762,260,372,064,737,083,291,396,793,901,556,436,344,454,952,394,835,815,702,
202,171,503,031,633,440,283,269,587,596,097,494,860,069,688,707,008,377,371,
983,031,335,916,732,250,069,176,328,882,783,743,604,071,861,338,799,254,634,
362,054,163,701,813,598,892,426,254,068,515,315,974,476,443,945,118,586,905,
036,872,213,956,491,736,435,724,631,282,405,365,736,982,482,926,083,872,270,
915,169,016,647,904,239,275,749,476,476,344,208,812,411,115,035,144,951,512,
715,712,627,615,909,252,908,651,208,727,785,997,689,972,296,475,129,175,594,
268,994,178,105,041,329,857,697,565,812,925,373,394,718,866,523,827,892,437,
011,667,462,147,557,653,769,096,853,555,810,279,483,496,209,275,901,367,469,
374,328,313,861,141,940,756,402,377,604,037,645,572,557,646,245,825,520,809,
412,053,758,672,673,113,376,442,356,423,105,024,780,322,784,194,395,956,044,
118,184,815,539,783,064,484,519,599,937,654,180,948,818,770,568,444,645,804,
125,203,007,228,121,888,312,460,808,795,670,685,789,419,098,945,680,463,284,
458,877,806,632,956,042,214,585,200,989,798,070,607,400,743,382,533,830,861,
375,785,003,142,617,550,737,135,176,177,057,845,609,646,457,485,315,044,925,
104,331,499,982,852,158,958,446,447,960,451,745,400,021,747,224,115,290,782,
067,068,712,394,880,176,616,939,984,101,309,212,519,278,769,512,650,871,392,
661,655,343,996,468,245,258,663,475,007,705,306,907,770,169,292,566,090,818,
631,611,141,084,614,592,811,119,590,686,895,860,242,512,407,555,382,106,514,
967,267,116,240,467,339,599,057,599,799,533,974,011,823,134,737,998,036,450,
156,219,837,127,247,079,920,865,843,713,143,263,637,848,831,292,316,234,027,
416,203,738,817,339,408,722,035,782,821,895,937,239,018,711,934,955,182,249,
368,394,228,894,786,864,856,127,374,703,227,103,567,861,227,899,853,420,186,
275,870,395,177,354,338,753,785,962,515,864,025,291,507,872,224,382,127,311,
766,605,100,009,256,068,312,374,512,750,941,710,845,335,858,519,182,579,107,
758,902,372,641,262,886,599,714,181,031,358,435,844,728,711,918,945,869,132,
714,331,551,929,687,452,316,248,725,393,460,660,615,966,060,956,995,329,202,
367,123,021,824,676,159,777,422,061,426,104,797,927,341,424,600,865,820,838,
361,728,960,655,574,573,682,876,138,178,623,420,399,503,932,615,306,925,536,
755,770,590,333,703,557,817,710,178,589,578,545,349,019,172,889,165,387,570,
439,365,084,117,587,179,602,091,016,562,665,997,848,089,926,717,174,449,990,
861,370,816,906,739,381,655,575,179,613,315,048,731,818,245,588,093,657,367,
416,072,762,152,668,131,669,338,234,049,746,662,865,893,468,482,682,848,408,
972,048,802,116,028,875,986,086,242,052,385,208,527,233,906,151,730,811,090,
641,130,614,033,945,853,759,544,971,450,335,702,173,385,022,258,796,805,060,
691,713,286,940,960,966,071,890,417,730,778,323,511,051,874,949,177,984,483,
615,216,766,602,729,933,104,489,855,229,257,058,491,545,321,727,864,963,011,
544,651,513,333,122,866,337,620,760,619,283,455,627,649,052,430,794,660,667,
171,427,555,741,064,839,795,720,430,926,681,388,276,900,209,915,950,505,743,
907,709,843,631,139,534,448,026,776,229,479,701,587,844,282,775,459,103,750,
083,957,030,071,909,979,947,001,554,872,344,349,349,877,644,759,118,762,206,
103,989,923,073,177,398,825,989,577,005,318,227,515,939,906,434,017,817,836,
761,500,655,130,596,082,291,541,460,713,353,296,687,622,119,399,744,477,336,
256,484,427,193,223,970,197,807,003,403,450,660,909,934,159,283,655,950,064,
572,524,770,501,834,216,882,201,917,359,271,078,601,930,215,361,102,207,139,
939,224,946,794,942,441,309,946,863,507,739,556,695,133,873,991,613,251,040,
706,784,475,215,617,240,339,688,075,576,524,025,261,458,726,245,217,619,817,
561,330,428,272,551,871,789,756,076,733,712,960,349,809,167,339,106,796,459,
350,916,337,240,149,021,584,457,049,703,258,224,831,616,014,913,273,220,276,
881,850,474,832,130,399,220,830,741,909,361,836,320,921,828,827,246,074,169,
085,015,726,524,403,938,315,795,575,334,332,638,742,781,610,017,254,334,555,
188,681,758,934,291,740,362,720,772,602,359,265,555,814,378,306,581,124,070,
711,349,875,362,168,314,215,580,272,307,448,699,372,000,062,301,665,520,777,
938,375,522,099,610,223,413,269,389,245,604,716,590,643,716,514,073,862,416,
451,102,905,675,546,036,571,885,301,250,149,003,724,950,737,301,759,570,031,
471,112,509,373,966,647,535,110,672,417,415,703,484,629,029,235,883,462,516,
862,678,525,537,049,541,726,201,092,548,684,984,356,267,778,605,683,349,842,
424,902,126,142,287,318,128,313,644,592,039,891,530,801,622,871,972,954,005,
417,514,205,901,419,477,295,651,048,618,432,394,885,897,706,439,371,085,665,
069,602,558,549,057,793,241,189,763,959,407,287,455,288,953,238,141,880,936,
319,073,077,669,300,984,234,574,090,794,097,047,911,326,573,182,850,739,550,
825,894,578,174,216,326,479,800,183,396,410,199,194,798,220,087,339,518,249,
298,491,378,318,007,160,580,338,721,161,032,812,322,681,877,550,491,337,814,
639,015,754,470,939,097,848,799,495,327,958,771,292,546,903,594,839,627,150,
228,301,837,551,571,496,801,314,832,050,321,159,494,149,286,726,676,218,231,
409,776,708,460,121,094,076,271,452,545,930,038,667,441,389,698,642,296,564,
266,631,454,798,782,702,503,549,338,521,760,409,788,456,891,156,460,396,223,
037,941,027,466,159,827,797,763,551,935,716,834,794,980,932,950,246,592,837,
394,378,442,470,262,282,115,671,710,407,149,393,229,297,251,819,374,812,298,
014,024,885,270,099,036,370,188,947,534,632,163,587,035,897,983,072,430,069,
949,417,124,436,857,842,292,448,813,949,091,761,085,328,371,754,314,659,878,
036,396,091,402,027,211,556,326,285,109,998,981,418,227,884,343,222,320,369,
190,436,101,871,649,949,413,018,496,460,508,301,200,149,524,201,138,769,893,
047,377,831,833,123,192,917,526,990,420,548,600,053,661,093,731,352,968,822,
198,761,721,792,756,363,406,288,990,448,045,776,577,547,326,497,896,819,756,
354,250,386,916,778,076,753,934,662,858,786,695,062,580,419,761,643,908,495,
641,569,668,689,509,674,698,858,195,423,203,184,080,187,811,962,642,598,936,
684,690,601,289,748,338,163,450,266,477,731,681,854,240,445,570,132,488,895,
119,587,031,530,825,931,025,000,874,371,229,721,612,776,303,978,915,128,183,
925,939,706,935,010,812,739,464,277,660,381,974,117,818,644,388,882,049,654,
783,376,292,934,856,263,520,757,862,606,075,459,189,879,199,318,211,100,148,
993,988,920,693,887,153,324,296,731,287,925,402,740,635,904,538,301,226,978,
274,510,696,805,401,485,504,706,833,534,357,980,540,536,250,091,939,550,264,
079,590,345,592,671,331,044,515,754,287,028,051,252,241,952,616,620,818,905,
769,696,598,980,016,534,152,214,419,909,110,619,551,375,677,963,374,906,391,
240,976,076,899,169,383,290,256,501,832,724,915,090,112,717,087,122,002,600,
601,767,733,281,802,179,504,369,413,887,488,918,843,275,771,347,391,401,301,
421,130,907,062,486,957,396,022,559,912,357,095,298,011,558,256,270,948,748,
768,667,931,895,528,310,223,059,217,069,625,127,849,978,358,574,299,466,057,
557,927,341,318,874,801,264,408,450,534,663,938,869,361,564,044,084,991,759,
792,819,193,348,193,027,676,394,093,484,639,826,658,105,385,745,121,864,066,
885,018,098,253,045,779,495,821,627,479,797,215,177,074,456,751,398,229,351,
748,726,682,335,664,649,594,212,784,660,764,646,823,981,687,224,084,939,616,
835,690,395,452,942,516,537,111,635,015,062,079,771,837,559,484,771,250,582,
182,127,904,959,225,474,718,859,566,195,401,585,617,374,300,459,186,507,960,
575,730,065,226,572,693,453,326,725,231,199,540,688,272,108,836,571,757,441,
517,626,399,390,836,450,774,815,034,930,249,840,529,376,592,623,855,378,067,
317,330,183,458,988,908,164,126,257,155,589,474,445,426,705,629,496,795,745,
066,313,841,066,208,488,300,884,775,395,688,147,299,223,873,068,101,857,288,
560,657,120,584,601,078,838,683,084,823,368,963,034,960,374,281,387,662,796,
327,829,019,982,408,695,956,758,416,592,231,278,417,345,064,029,397,701,972,
921,503,947,976,787,531,080,121,192,106,560,486,424,767,322,200,686,738,379,
438,153,185,330,340,216,991,412,762,994,156,113,884,377,345,701,681,572,903,
733,977,033,839,645,409,149,673,621,376,861,889,829,404,247,766,943,949,721,
902,279,680,397,161,915,680,998,720,948,043,803,958,938,441,831,917,522,466,
274,090,949,210,842,291,865,270,720,091,024,435,782,983,174,240,416,221,105,
676,672,909,568,658,410,303,609,411,211,278,317,060,388,943,030,285,998,470,
704,225,835,137,029,832,966,006,009,690,837,333,509,605,437,589,305,227,154,
687,494,183,317,917,202,420,216,772,567,584,746,720,422,442,851,272,478,993,
907,443,174,321,690,253,345,375,106,284,451,928,779,034,463,381,061,211,682,
177,193,436,800,263,826,786,218,321,190,931,275,707,750,018,378,073,311,834,
224,352,793,777,377,226,259,226,434,486,393,743,223,132,752,838,149,245,545,
720,304,023,489,097,313,452,728,321,892,502,230,431,880,547,306,396,205,344,
407,512,888,274,099,768,124,879,980,661,438,893,915,580,710,217,189,627,852,
423,785,326,418,238,587,434,366,495,270,229,679,346,817,376,713,734,300,698,
642,287,870,120,489,383,626,438,523,876,267,640,519,545,578,272,992,554,135,
160,820,617,431,731,392,104,429,037,038,966,712,275,383,210,899,663,859,692,
307,016,184,732,263,893,592,924,794,872,590,945,745,879,418,565,363,426,094,
379,031,060,015,844,270,590,485,316,357,247,127,163,922,653,189,060,828,128,
435,712,311,815,932,055,071,796,215,888,254,001,260,782,648,332,759,283,276,
668,065,548,932,595,184,071,349,665,088,447,479,954,974,580,469,073,191,323,
106,997,512,415,526,766,195,914,607,445,463,899,723,827,898,729,983,546,968,
975,740,612,070,030,243,724,067,536,995,071,210,350,916,128,587,759,328,667,
475,356,183,245,759,145,759,271,228,466,920,998,812,904,692,326,440,584,229,
122,082,227,611,278,014,686,432,228,511,387,039,768,753,861,689,151,885,433,
602,696,338,288,386,251,785,670,984,326,371,771,315,231,322,537,588,206,055,
006,703,428,468,126,021,531,471,546,302,150,691,508,086,735,485,170,200,532,
038,736,935,022,509,927,577,667,091,580,464,591,959,821,822,251,834,298,802,
498,670,337,500,209,186,774,986,955,461,082,014,676,906,624,903,922,422,258,
779,844,289,633,234,647,084,632,696,117,990,764,086,673,568,674,327,536,713,
953,346,922,466,073,069,774,413,356,803,161,972,956,278,187,955,467,192,524,
398,437,784,514,668,903,589,543,449,308,649,769,117,155,590,446,840,140,092,
329,592,221,406,694,691,352,876,479,679,531,429,994,830,080,555,731,556,409,
870,676,006,881,151,712,366,661,276,582,113,677,012,528,927,770,038,190,937,
866,404,016,651,204,505,336,493,533,770,321,699,264,270,607,962,799,637,001,
793,327,255,968,242,826,598,270,518,463,185,922,015,012,797,565,094,800,750,
715,782,815,510,854,481,267,077,867,696,918,045,462,552,526,523,779,871,519,
639,930,571,046,777,903,218,828,797,779,939,065,290,264,578,539,146,375,930,
071,180,427,733,475,716,779,648,937,855,504,618,737,892,393,169,386,273,943,
822,454,454,503,900,701,394,597,414,321,337,550,211,642,360,124,292,380,398,
757,529,975,415,608,393,276,282,122,039,567,112,745,519,800,116,957,379,987,
377,085,566,304,040,422,652,162,833,679,278,457,236,460,099,871,608,419,375,
505,284,861,289,299,746,770,932,914,317,244,116,718,823,352,539,834,798,541,
273,789,242,220,487,712,311,634,862,765,845,619,302,664,158,617,951,580,808,
227,747,727,932,487,669,724,220,927,060,667,956,022,910,051,655,757,111,664,
012,925,922,535,245,102,764,350,383,155,303,395,810,963,525,795,997,337,046,
879,542,504,558,395,754,641,615,938,409,389,678,342,341,613,801,573,430,392,
658,742,568,340,970,723,746,329,638,712,247,368,178,607,981,221,577,645,760,
477,673,613,811,179,811,383,993,598,149,781,078,599,738,157,679,053,494,584,
446,334,545,768,754,993,069,027,175,224,655,353,037,176,612,712,150,711,870,
718,922,063,294,761,765,550,752,756,572,562,299,969,058,969,908,202,348,047,
494,033,124,960,344,059,650,606,615,702,897,756,262,037,733,348,211,640,881,
979,552,199,930,590,190,044,251,700,647,408,373,138,574,918,056,165,077,910,
973,225,638,013,729,937,960,642,012,484,622,787,247,584,591,331,346,558,274,
853,903,885,051,707,544,438,388,220,589,212,796,296,001,340,663,303,364,094,
215,646,872,851,777,255,041,026,515,786,856,414,643,299,813,608,000,629,519,
496,388,029,862,442,041,182,847,209,448,872,144,938,781,780,458,214,280,878,
901,164,751,469,567,391,043,964,265,673,100,893,911,052,507,489,095,236,125,
257,885,519,343,380,003,746,212,594,538,795,905,923,148,109,433,819,704,068,
171,431,348,095,904,307,529,967,423,878,452,099,229,413,632,727,204,235,672,
824,441,874,799,027,449,753,993,005,949,569,720,637,391,726,786,876,199,665,
919,443,661,440,101,647,970,857,712,475,855,393,209,783,620,382,689,394,688,
971,972,496,362,403,034,257,830,383,898,367,744,714,959,013,597,234,416,144,
334,053,866,150,629,754,929,068,714,082,070,356,204,208,085,112,771,208,637,
148,275,066,162,924,160,306,192,659,881,542,862,187,116,039,820,714,777,665,
337,779,778,286,689,765,030,100,093,087,232,272,269,086,323,488,449,730,743,
487,173,845,418,320,235,885,180,499,847,654,176,782,486,140,524,680,968,370,
512,920,045,514,197,048,224,877,718,619,709,883,462,108,287,033,885,077,051,
024,356,653,255,610,801,892,788,221,029,432,076,840,317,730,505,908,349,633,
356,639,085,374,152,272,005,201,564,409,981,631,496,988,907,004,637,850,248,
221,843,712,220,218,713,163,723,713,916,966,777,780,499,457,884,033,294,877,
946,231,710,533,571,455,103,219,482,914,142,041,602,422,766,001,452,860,657,
945,850,589,446,348,677,677,442,009,251,803,966,820,324,808,410,645,338,572,
779,077,336,069,757,174,283,733,098,223,987,748,114,285,549,145,049,461,529,
466,934,236,260,400,982,412,200,320,422,753,333,577,874,121,524,831,490,793,
119,811,171,011,015,897,770,025,038,255,396,776,207,693,234,431,708,179,107,
832,993,977,364,292,183,400,624,622,480,034,997,375,778,082,347,703,934,411,
838,338,351,074,494,211,770,693,296,277,320,703,855,809,315,543,478,476,240,
355,748,691,778,027,003,035,304,394,456,713,009,032,307,750,229,203,349,675,
839,531,257,626,105,740,041,747,548,881,271,975,365,221,408,865,402,650,615,
691,449,280,846,170,140,450,634,553,634,856,907,901,321,180,196,731,849,943,
809,301,475,273,084,669,835,886,857,344,781,652,000,415,943,770,387,596,708,
885,679,439,643,083,491,104,715,621,242,189,201,514,631,074,048,224,868,794,
127,137,648,283,987,601,186,419,677,990,077,999,655,314,494,827,506,133,944,
475,250,275,461,899,680,440,893,234,002,021,937,740,696,421,650,804,340,138,
761,490,780,327,270,118,361,944,813,249,094,405,989,838,761,526,266,730,216,
043,532,736,880,672,164,136,211,524,866,327,743,381,417,439,202,550,318,923,
599,023,274,807,724,927,822,308,966,232,878,316,962,581,834,756,892,893,920,
924,930,036,998,190,168,129,891,627,464,174,288,702,162,304,393,071,836,980,
459,927,173,506,262,733,540,775,332,959,031,401,792,722,698,741,569,512,168,
812,698,351,905,122,676,541,149,917,489,314,384,608,709,343,963,426,829,941,
394,664,841,596,423,901,331,751,038,724,661,200,856,795,816,685,928,257,913,
599,905,067,253,216,412,489,324,494,479,084,856,117,958,850,514,054,711,226,
559,082,781,568,818,165,138,561,398,200,000,690,204,203,000,867,576,208,176,
854,491,213,767,682,941,582,659,805,070,715,187,537,896,626,758,037,833,840,
314,133,922,944,449,023,161,560,233,468,535,070,454,539,049,571,655,678,574,
044,455,395,804,353,334,412,791,599,878,976,554,347,420,537,129,871,011,590,
670,923,669,807,980,691,178,705,897,228,336,513,370,236,078,423,374,834,347,
811,185,635,932,111,671,775,794,055,530,513,220,311,540,024,229,575,593,308,
242,268,110,821,405,936,979,228,237,131,368,965,947,933,822,516,286,580,100,
884,871,719,577,618,423,041,918,052,835,201,199,666,141,025,032,682,331,551,
395,511,191,628,686,274,913,940,806,331,173,304,714,965,052,282,895,085,208,
021,450,169,200,719,808,724,543,110,235,053,137,743,643,367,492,473,093,539,
203,589,602,671,771,985,741,308,156,746,476,966,351,038,513,362,571,521,504,
289,829,544,444,555,430,380,250,538,714,535,423,494,346,287,764,176,745,101,
316,457,243,511,302,883,416,683,287,874,476,550,834,431,545,325,010,728,239,
245,075,461,865,725,702,215,457,436,417,324,658,772,423,053,619,593,878,600,
693,669,401,230,477,807,426,714,972,285,557,418,371,883,325,545,630,017,060,
848,027,452,162,897,170,163,182,503,424,020,756,507,467,248,851,980,948,870,
983,021,331,082,153,044,278,748,128,099,562,297,881,835,207,002,991,914,724,
734,558,318,092,425,176,314,586,485,487,915,533,583,575,276,899,681,491,832,
493,187,655,310,481,918,133,248,855,795,428,488,857,143,434,139,076,591,722,
286,356,096,373,131,690,971,647,878,803,540,054,508,853,814,550,303,930,874,
157,325,656,878,792,567,844,397,362,473,307,973,931,189,925,766,004,456,150,
261,193,690,700,937,840,993,402,676,590,740,799,563,022,628,399,982,320,351,
985,300,863,613,108,966,805,344,373,892,334,257,665,498,148,978,265,565,163,
225,804,516,193,298,452,266,523,733,871,212,197,176,724,385,102,656,633,693,
386,122,771,710,367,598,864,127,866,617,371,290,239,606,579,516,838,399,794,
771,229,453,239,884,213,569,461,744,979,115,621,167,231,220,227,704,627,057,
358,232,331,944,278,249,972,973,736,558,527,762,957,209,868,412,538,382,295,
055,219,482,198,634,460,661,241,487,104,564,265,934,360,263,067,952,766,019,
533,122,894,894,789,588,064,607,816,127,576,645,751,042,985,172,528,182,485,
554,791,976,534,109,626,644,921,445,834,235,156,180,015,776,872,493,021,727,
024,365,835,001,787,606,730,269,766,112,414,610,019,270,075,435,423,599,766,
590,691,663,281,228,606,618,035,082,900,816,862,530,561,542,283,792,850,244,
868,164,045,288,084,419,046,841,369,721,880,948,318,850,298,247,415,654,123,
430,417,813,637,842,642,189,664,420,615,265,800,510,768,342,882,026,588,125,
098,354,170,443,925,403,249,154,776,475,313,166,712,924,117,841,346,013,619,
992,230,620,741,409,984,015,833,976,946,587,843,024,380,560,410,683,272,080,
896,443,084,904,456,371,703,185,674,380,630,228,655,126,495,450,981,181,088,
026,830,858,804,772,166,478,894,032,181,128,898,349,112,183,043,920,933,627,
026,358,903,682,041,552,269,239,127,484,301,349,743,467,942,367,024,872,319,
723,315,762,116,666,111,189,408,048,443,825,215,497,453,975,936,524,348,431,
629,137,499,676,485,906,797,878,360,033,549,379,525,213,937,889,904,371,801,
552,171,087,293,349,049,560,557,510,133,949,632,513,622,328,941,708,225,076,
303,023,409,788,039,807,147,053,440,417,464,833,208,962,094,070,935,536,088,
666,500,400,751,397,192,512,708,466,176,896,367,414,386,855,477,129,525,469,
903,716,860,141,925,500,675,872,110,742,922,914,601,276,627,266,306,864,414,
576,620,745,011,699,263,563,917,642,094,957,906,030,244,987,602,887,907,131,
276,533,110,490,334,516,403,075,986,281,404,758,302,815,128,191,737,507,122,
740,554,917,564,249,144,294,219,652,724,503,628,829,947,103,630,899,927,783,
917,560,183,084,228,748,656,958,410,179,204,529,727,041,630,760,390,640,400,
439,337,656,415,554,596,570,463,174,581,195,382,951,766,505,390,078,232,413,
105,179,953,644,364,242,089,026,614,818,526,491,166,555,588,156,717,931,017,
857,426,717,492,139,113,744,851,625,158,311,778,843,784,061,700,453,548,448,
133,660,118,211,658,453,792,215,148,499,698,441,876,902,148,722,530,218,242,
763,564,555,237,580,010,742,292,222,070,445,139,678,492,738,115,974,097,471,
774,241,033,763,695,579,093,660,943,451,064,974,745,272,595,519,139,021,093,
528,686,441,827,426,428,644,349,663,391,926,113,875,809,325,557,260,617,514,
398,425,250,043,629,697,826,650,979,244,844,288,438,635,202,443,148,885,702,
032,200,367,434,074,878,800,269,191,526,668,433,813,522,152,282,650,072,123,
468,924,009,455,229,263,384,022,826,920,613,547,707,577,363,733,336,460,166,
699,015,305,966,522,056,313,169,686,692,669,312,456,257,975,769,439,553,126,
785,132,204,268,399,113,272,207,758,109,136,732,896,584,401,935,878,621,493,
093,308,143,251,464,085,324,686,369,194,500,788,068,035,991,855,535,791,062,
067,824,857,305,349,500,643,674,728,164,228,242,026,583,086,144,830,841,868,
719,834,113,101,775,523,781,366,376,643,479,187,554,046,563,688,877,167,533,
744,284,590,699,218,331,576,395,500,979,847,085,399,943,534,892,768,926,342,
214,144,430,477,987,006,566,325,920,394,058,159,152,106,488,030,094,853,580,
892,280,457,060,677,448,416,757,178,433,321,125,724,154,276,096,637,825,596,
827,564,333,166,906,398,235,026,940,202,520,885,942,293,870,667,157,267,900,
491,984,959,281,640,048,415,225,573,297,806,246,126,339,693,557,837,466,194,
723,918,196,832,005,381,418,919,930,147,449,055,307,310,583,092,706,911,530,
066,817,953,768,534,137,422,972,647,349,208,492,084,172,710,694,042,278,584,
222,350,172,466,208,362,969,321,356,571,457,370,767,421,255,169,804,907,201,
827,778,644,339,568,813,212,472,392,293,106,475,739,196,242,457,849,666,208,
997,876,463,369,259,120,347,037,044,220,367,002,137,692,436,419,567,138,948,
312,364,839,655,508,616,142,151,406,433,927,712,638,602,610,864,110,870,946,
391,286,452,052,708,476,455,250,522,234,920,567,550,623,159,826,335,039,985,
866,732,623,942,000,603,045,651,814,083,789,027,663,586,770,653,978,493,694,
348,870,555,567,341,397,223,057,257,413,837,768,796,765,588,782,144,974,857,
456,518,165,861,706,807,697,897,142,923,840,066,922,931,562,933,373,275,281,
650,160,509,782,065,382,994,767,360,002,447,227,612,950,494,051,412,504,507,
384,731,786,730,760,001,771,565,096,461,772,873,350,895,899,894,241,285,434,
246,763,973,484,301,147,316,072,131,142,311,378,566,080,187,824,520,030,126,
438,701,676,141,219,562,039,253,230,418,953,703,066,671,340,138,025,217,588,
517,493,997,929,194,162,144,954,011,390,064,385,952,990,968,291,961,590,235,
551,648,140,415,483,499,792,057,222,671,202,267,147,355,347,036,807,695,614,
430,230,939,527,224,060,497,736,525,860,870,573,183,731,535,920,147,413,909,
377,079,185,463,180,281,912,128,303,379,553,671,712,166,929,775,108,830,502,
424,702,975,207,530,814,106,744,765,403,905,778,053,830,058,601,751,371,267,
948,932,917,365,645,354,920,830,078,000,935,346,502,572,121,032,423,003,561,
098,604,760,125,099,367,030,054,520,604,210,604,211,300,382,909,607,277,539,
899,516,055,863,957,751,937,849,473,159,589,410,909,577,446,517,672,822,270,
775,853,562,509,377,907,552,177,248,733,338,426,601,663,894,221,015,407,146,
045,480,787,109,740,442,899,047,891,292,910,943,620,149,266,959,338,957,667,
215,917,753,375,092,478,479,977,890,673,693,454,779,404,090,900,778,285,507,
786,068,871,484,351,601,341,195,764,463,648,450,403,345,411,194,684,680,184,
997,381,947,338,702,969,140,366,600,053,447,894,068,976,843,653,521,942,846,
246,283,768,513,489,001,155,260,010,607,426,343,102,046,265,294,504,738,402,
369,721,689,495,724,744,420,299,222,102,055,853,526,961,531,640,336,259,675,
190,901,200,386,929,644,944,643,899,740,626,785,703,532,092,418,444,655,539,
258,166,747,002,769,791,586,733,045,296,210,946,935,664,089,586,156,294,570,
842,280,315,971,840,089,544,967,596,896,554,649,407,149,102,169,353,454,738,
622,285,589,869,779,631,298,335,939,335,676,710,636,269,348,349,991,998,553,
134,728,103,471,143,087,536,358,686,759,924,588,891,139,074,595,308,489,286,
544,230,904,344,268,954,562,941,573,495,978,184,679,654,016,894,783,629,319,
746,415,387,062,871,094,692,321,865,281,685,918,150,732,067,963,016,431,929,
003,512,778,695,559,958,586,984,097,690,234,414,219,697,763,049,770,305,093,
653,780,890,766,785,395,693,409,718,525,147,617,701,408,610,989,806,795,923,
586,033,250,021,941,971,083,313,185,747,222,460,226,491,167,320,405,940,266,
356,257,877,259,326,896,714,284,200,806,571,810,457,504,768,551,372,798,787,
948,128,515,694,986,976,151,237,622,726,254,051,576,223,093,236,256,097,611,
138,351,873,865,487,716,062,806,387,963,171,429,159,174,202,384,931,447,431,
018,519,647,057,493,218,528,453,464,228,366,269,730,736,098,666,406,938,000,
616,746,224,389,411,091,769,464,198,817,776,500,817,614,330,862,894,679,014,
189,364,140,415,834,745,366,237,772,296,279,931,431,917,950,887,105,097,672,
794,946,510,971,881,118,123,615,998,590,249,820,720,356,123,059,817,793,316,
563,218,647,422,063,429,649,061,722,906,974,765,024,741,623,375,341,724,764,
535,169,697,282,012,926,481,392,028,363,265,518,485,024,158,728,865,808,804,
909,765,297,421,156,670,343,959,886,843,213,171,769,188,574,944,105,618,511,
743,980,148,775,478,927,040,615,105,583,557,384,533,228,114,687,273,926,552,
676,290,200,343,174,383,404,369,667,033,901,061,357,146,746,574,458,292,776,
664,921,812,206,408,292,331,464,522,243,461,285,439,573,453,206,978,801,210,
172,213,507,447,818,575,348,772,775,757,860,935,725,501,841,683,957,312,051,
957,591,182,394,931,449,020,974,954,545,408,832,733,797,671,617,062,405,570,
550,384,082,286,675,671,338,133,905,164,665,145,405,976,922,061,920,363,294,
950,171,393,988,702,783,674,311,000,207,160,931,873,514,761,946,672,760,762,
064,006,590,938,628,146,401,167,765,950,130,886,119,943,191,262,032,692,426,
067,209,626,523,370,458,845,682,542,472,938,714,798,178,509,314,973,604,425,
846,712,305,112,477,377,585,561,141,432,915,830,501,104,327,369,398,412,588,
003,397,015,061,260,765,105,062,142,614,066,307,229,559,710,648,665,532,903,
488,783,207,732,559,763,818,014,820,488,588,373,662,849,846,919,346,306,142,
326,140,129,046,244,547,280,671,468,442,405,623,941,201,167,509,818,701,363,
261,207,381,925,075,897,371,433,617,906,715,256,291,816,092,207,790,962,394,
748,706,868,837,058,432,455,349,548,068,328,952,881,984,263,267,724,951,836,
480,926,221,848,600,349,647,076,488,313,958,812,018,337,544,927,743,377,067,
303,975,785,665,490,724,889,773,481,886,445,624,463,436,111,397,884,006,004,
850,554,464,611,705,080,663,037,547,679,530,885,958,086,762,411,274,721,508,
960,556,039,516,322,855,615,417,631,024,627,913,459,519,653,193,466,294,919,
328,329,073,867,604,453,485,519,768,007,204,694,563,088,402,995,869,770,026,
059,592,560,706,555,106,780,443,134,856,325,753,700,146,674,880,278,368,183,
441,746,451,262,411,897,832,882,251,577,354,387,741,712,444,124,570,200,003,
879,600,270,602,527,286,071,634,267,375,997,142,415,224,089,077,214,734,596,
153,962,365,113,200,699,059,835,950,919,829,430,181,468,993,894,085,857,601,
339,328,846,333,410,591,442,854,919,383,150,534,123,081,748,931,395,952,242,
219,645,846,011,549,845,585,358,745,721,666,359,147,793,344,798,676,036,969,
993,655,961,189,304,282,576,273,132,867,481,219,269,334,945,177,841,010,318,
431,563,997,386,131,763,955,159,440,830,432,185,016,788,507,440,975,804,196,
677,762,905,537,879,634,103,763,144,366,510,598,531,315,808,139,465,212,947,
240,118,304,995,836,860,820,743,632,894,977,271,184,106,364,525,988,363,110,
283,230,652,033,674,572,031,688,861,378,404,045,316,797,971,703,899,204,404,
528,085,057,000,287,057,473,612,721,638,297,901,939,414,317,210,915,341,645,
269,012,851,872,208,043,224,556,650,673,569,801,418,424,046,770,831,220,742,
765,417,171,808,542,936,467,172,744,215,748,680,553,446,749,357,024,531,380,
629,626,819,902,107,325,343,859,597,938,379,331,852,745,260,490,750,432,454,
290,716,126,940,934,298,834,568,168,127,965,712,955,995,572,733,866,722,132,
115,939,647,830,063,640,638,184,651,917,332,006,495,593,415,405,538,799,381,
571,173,802,948,910,631,928,145,820,777,825,046,827,950,900,105,588,393,968,
954,889,269,109,474,825,076,348,907,774,518,652,925,815,779,110,093,695,238,
288,890,021,725,820,798,381,804,397,200,407,648,087,966,505,884,432,592,857,
342,866,185,144,599,086,876,202,604,672,060,569,225,813,406,910,307,529,130,
615,547,840,225,525,039,840,124,993,631,257,298,917,904,809,190,915,426,936,
264,925,409,271,478,621,839,068,381,961,671,038,661,891,600,765,848,995,642,
428,162,319,866,438,323,130,969,845,942,370,486,158,622,215,679,330,753,451,
111,421,518,249,058,570,953,412,746,976,843,374,668,491,622,277,681,790,459,
324,213,585,405,774,259,183,811,320,251,106,517,569,162,855,195,341,332,837,
646,019,595,591,801,127,451,180,361,737,585,641,408,734,591,282,633,412,289,
938,244,336,601,721,107,578,026,777,427,323,982,525,229,612,463,870,563,087,
569,295,985,765,352,263,481,204,078,256,440,935,778,350,424,483,343,987,933,
500,702,928,170,920,914,041,559,145,737,641,592,633,642,870,477,702,596,041,
298,099,692,703,170,648,024,083,579,413,678,345,695,108,319,887,794,161,512,
766,926,177,714,355,129,648,541,892,037,592,452,301,602,626,643,118,390,087,
196,930,461,902,712,280,420,119,219,630,222,326,911,735,267,070,764,955,082,
080,502,400,736,669,044,102,523,032,414,763,358,875,483,431,754,153,187,120,
867,120,617,473,910,331,942,302,315,831,149,751,650,444,596,491,374,651,121,
783,702,196,276,015,198,050,882,345,861,399,216,420,119,399,952,732,255,065,
853,660,786,506,647,874,005,959,434,483,194,170,274,450,009,200,651,433,781,
313,417,185,906,056,216,195,280,959,917,984,379,867,846,169,144,716,573,817,
314,076,228,080,049,217,931,391,428,158,755,977,979,379,211,241,896,681,319,
866,078,100,691,162,607,991,512,244,871,958,490,250,281,877,213,959,213,911,
726,593,641,475,508,765,822,298,689,756,439,731,848,024,185,023,154,168,841,
272,889,923,905,037,822,851,296,755,514,325,759,849,055,810,309,513,883,146,
231,574,642,596,331,709,526,359,352,134,445,848,191,331,600,804,566,066,936,
546,827,385,272,150,493,139,651,291,594,897,206,181,743,650,259,352,682,418,
907,015,860,859,176,907,097,604,024,275,155,288,609,894,122,445,320,112,907,
029,570,268,056,193,329,605,423,361,424,030,619,189,921,465,654,740,384,642,
619,400,691,531,510,460,647,013,579,190,013,627,945,561,951,000,437,072,465,
552,371,584,545,612,810,456,210,160,221,374,492,568,860,216,419,618,241,271,
978,969,077,570,235,329,494,673,570,156,350,368,478,358,140,988,838,473,121,
209,997,376,688,855,847,060,070,465,877,161,272,667,680,468,110,432,538,363,
393,843,714,807,634,923,064,966,203,369,907,685,534,222,432,037,675,613,780,
140,518,314,889,578,899,198,152,930,258,202,615,680,349,318,074,841,491,572,
524,528,160,839,225,251,154,584,730,529,777,490,887,009,059,917,209,689,218,
028,127,834,258,976,534,244,370,124,261,559,090,746,336,533,969,511,896,831,
815,975,401,446,937,943,333,497,042,655,850,074,470,073,334,110,705,707,303,
639,800,757,296,422,751,542,875,585,272,898,875,526,420,131,672,786,597,506,
905,778,696,187,136,361,524,315,743,748,523,044,483,831,271,338,733,510,145,
819,495,064,700,881,884,643,396,412,366,757,729,041,519,260,502,958,524,866,
153,840,359,465,666,416,334,907,392,844,240,891,038,769,448,669,899,723,893,
913,390,417,239,264,400,730,924,134,282,754,080,845,909,933,092,653,029,600,
034,715,565,764,876,492,155,548,918,909,923,901,167,318,597,021,317,164,260,
318,417,860,858,946,118,516,853,353,879,874,732,621,963,872,673,125,521,952,
889,195,160,937,463,576,924,900,401,585,311,330,395,661,433,519,127,191,138,
767,977,834,062,725,360,465,646,562,872,904,913,765,970,055,279,643,467,348,
413,431,483,594,772,902,982,274,278,611,992,684,447,779,386,097,022,791,430,
249,905,798,899,355,507,607,667,476,996,663,832,719,333,813,739,880,921,786,
877,860,652,146,295,309,043,218,080,723,339,541,933,921,066,067,157,113,802,
091,905,985,392,799,564,855,667,337,920,440,446,395,183,282,125,996,243,149,
223,168,935,724,301,717,110,513,538,314,601,666,477,245,988,368,878,740,757,
808,685,368,260,204,406,760,286,134,276,704,882,734,292,498,995,065,351,417,
518,244,344,677,659,506,721,487,467,424,921,096,727,886,085,275,817,973,192,
116,831,996,508,158,689,166,657,584,390,119,513,614,240,673,940,106,038,829,
583,422,658,923,019,789,602,932,316,647,783,542,221,695,200,845,798,189,774,
417,445,700,712,255,931,634,125,369,648,471,039,028,052,515,893,940,954,374,
019,539,169,200,622,301,241,245,231,060,855,821,163,385,322,511,987,158,128,
808,085,030,959,625,386,086,404,839,037,215,187,593,437,357,621,195,304,912,
779,614,606,719,013,868,339,406,246,419,993,376,796,071,187,295,436,010,439,
518,350,260,811,463,072,392,810,079,095,029,213,543,596,355,508,127,143,809,
441,316,340,028,381,939,822,726,336,773,146,649,143,299,723,334,982,108,739,
257,159,824,309,349,474,667,359,261,416,087,634,084,735,027,910,576,954,243,
301,445,528,770,313,485,040,650,670,721,835,500,820,189,960,850,626,314,214,
632,865,043,908,536,319,003,437,769,344,430,384,543,004,441,062,112,355,005,
462,546,977,006,719,716,978,679,685,448,405,898,022,170,097,403,167,639,540,
225,123,863,735,903,619,363,839,302,299,821,738,013,077,471,607,697,372,442,
594,624,869,828,952,302,511,369,196,053,585,185,827,837,325,261,172,641,924,
243,872,786,451,212,624,940,571,075,124,426,874,817,201,855,351,099,614,575,
422,818,177,681,778,263,212,490,183,788,565,696,250,789,928,324,355,590,586,
120,487,171,765,110,056,687,397,409,906,268,041,131,016,917,883,818,445,822,
556,344,623,521,309,960,531,011,674,928,239,876,443,755,136,643,714,870,069,
507,457,255,839,386,318,171,348,773,478,320,509,181,739,599,039,602,994,140,
906,172,995,235,537,840,703,509,438,381,572,933,561,353,512,776,921,207,808,
394,025,668,018,364,271,939,373,242,003,343,369,134,879,127,477,544,294,445,
936,824,067,366,086,883,285,880,644,828,838,154,723,810,919,738,186,914,485,
647,840,599,907,613,750,748,885,094,854,505,134,137,469,910,070,171,753,370,
624,383,717,242,277,465,045,127,468,023,866,376,120,308,528,983,379,601,307,
497,668,206,268,069,104,074,024,514,763,588,191,313,799,562,326,289,839,212,
008,143,147,364,818,450,114,460,824,730,165,448,498,745,054,120,010,866,843,
813,846,047,266,840,656,179,475,145,149,752,703,156,372,036,485,144,796,071,
239,356,425,365,776,423,790,325,661,323,029,338,460,644,493,350,078,443,490,
533,524,023,803,141,266,394,259,291,042,717,910,451,680,155,879,863,328,774,
126,220,520,569,758,221,885,624,155,788,258,131,381,721,013,052,003,000,299,
191,488,913,445,967,371,424,059,117,285,298,075,368,917,933,175,104,405,912,
486,081,894,879,546,195,927,500,723,583,868,205,775,161,325,235,191,622,810,
018,187,805,743,025,506,716,337,083,993,918,959,856,763,317,085,385,702,468,
208,345,158,048,610,298,176,731,527,266,260,115,588,326,091,334,256,524,618,
974,666,541,156,745,133,511,221,413,717,204,444,388,988,070,663,458,443,457,
206,228,051,947,293,229,472,832,512,961,557,138,695,665,577,296,623,632,506,
783,066,630,607,659,137,619,072,453,249,209,739,200,331,763,626,739,726,002,
868,869,133,942,235,861,204,905,150,093,183,307,031,310,764,280,959,203,061,
162,021,569,006,008,939,948,360,961,851,402,336,867,020,158,935,519,802,911,
940,937,792,416,456,157,387,594,639,072,410,365,396,888,672,675,967,913,872,
266,425,981,893,125,258,698,403,728,082,544,864,643,877,586,658,198,677,927,
645,994,169,753,014,507,260,850,011,985,411,567,208,875,142,569,784,173,680,
300,551,101,514,476,848,181,964,413,654,743,734,965,678,872,339,635,260,431,
926,881,093,828,331,822,615,481,995,897,174,229,551,297,404,280,425,438,348,
662,406,528,126,091,020,981,460,828,782,416,611,313,412,295,628,800,167,559,
040,445,168,086,710,889,080,106,189,388,321,816,879,689,135,864,417,051,936,
668,559,617,572,963,001,614,902,150,934,428,724,090,315,677,196,834,925,225,
602,666,025,685,528,905,339,112,759,482,941,661,448,718,639,892,616,464,174,
991,089,639,416,989,067,621,100,313,426,725,367,681,205,820,467,885,595,001,
747,573,727,357,351,139,356,505,984,790,591,506,456,841,464,787,800,772,759,
886,053,934,122,785,812,245,252,583,701,398,452,038,688,020,301,214,951,744,
870,768,888,756,953,124,513,287,705,407,506,383,914,730,729,780,641,156,969,
483,046,174,748,732,550,934,647,710,111,454,605,875,599,226,081,814,590,781,
351,512,857,939,906,304,997,466,440,201,840,949,971,980,163,054,760,500,971,
040,406,362,378,053,247,047,738,805,887,316,553,143,511,932,498,861,709,513,
288,079,715,662,374,425,266,578,107,646,512,149,695,413,007,704,409,490,609,
719,638,941,044,913,456,325,363,700,699,831,266,087,268,840,588,877,741,769,
839,562,529,918,353,604,972,342,264,363,735,800,157,348,759,064,322,792,520,
679,101,737,845,296,154,456,606,242,881,491,002,753,790,279,068,665,992,215,
203,311,866,737,060,632,324,686,311,888,868,846,269,406,750,166,353,601,149,
522,460,357,851,295,089,106,103,709,220,262,866,850,284,361,383,980,961,781,
742,607,078,124,421,385,341,790,153,375,062,022,057,198,633,894,795,457,661,
424,861,531,275,744,315,146,395,538,643,687,281,811,522,910,909,195,584,258,
127,016,842,898,590,291,736,454,675,557,275,026,476,275,129,788,197,409,178,
097,311,126,141,785,279,068,686,961,163,277,978,796,000,815,659,450,298,926,
103,997,047,429,171,807,661,432,482,176,251,378,895,355,836,885,321,388,162,
654,907,496,145,166,907,440,567,302,399,682,567,656,922,299,519,973,045,690,
162,146,181,463,364,384,118,700,654,198,280,200,206,721,381,297,180,182,612,
347,904,758,038,464,090,896,929,162,586,793,289,766,485,752,548,306,441,764,
035,736,198,163,163,685,324,938,657,743,546,060,269,823,456,969,802,394,362,
209,059,692,657,514,963,877,081,422,634,005,926,674,942,559,153,117,463,837,
317,674,844,014,074,378,395,195,053,355,928,015,957,430,749,148,889,868,264,
541,334,431,859,580,715,112,283,514,670,131,429,244,621,275,990,633,116,795,
962,187,442,873,033,771,836,411,403,795,550,613,894,298,989,110,658,891,223,
584,911,812,477,499,270,852,024,585,003,840,945,187,513,123,965,612,119,382,
039,414,648,056,046,337,850,271,647,281,921,309,791,521,875,541,477,514,459,
654,767,693,152,178,308,727,453,399,214,813,885,268,687,756,305,260,117,261,
675,144,125,864,564,860,659,351,932,127,618,933,958,562,279,423,522,702,641,
127,627,297,734,600,679,884,870,513,794,110,738,796,776,287,661,580,474,587,
630,966,040,362,029,008,322,784,346,268,163,416,345,443,581,538,546,694,835,
277,213,379,997,885,736,194,115,203,806,435,623,191,552,080,539,648,346,677,
385,725,608,008,018,633,437,056,255,355,447,805,522,222,647,685,542,605,718,
054,084,228,072,375,720,145,860,712,278,095,579,389,569,137,367,480,033,388,
472,798,417,104,051,127,568,182,913,918,404,682,670,634,400,700,818,599,601,
262,403,646,405,672,135,222,752,336,351,552,746,051,137,793,249,611,452,983,
462,190,809,755,364,257,192,502,546,123,020,294,272,450,790,780,486,485,006,
963,743,059,331,958,184,126,686,433,213,497,291,337,751,885,984,090,015,024,
010,579,275,303,303,853,597,656,466,957,334,445,306,995,306,748,233,424,241,
216,001,731,518,294,492,885,950,134,498,348,024,407,986,184,296,312,445,903,
719,073,446,688,684,074,981,869,891,001,318,417,086,310,578,110,764,125,933,
518,994,681,744,086,862,879,665,346,106,873,193,546,368,686,691,860,627,258,
080,525,218,288,878,789,180,329,802,090,917,543,168,004,207,149,305,354,364,
022,221,328,515,104,120,353,106,775,743,513,437,922,501,539,023,969,721,207,
395,537,311,998,714,340,489,454,926,450,177,651,835,266,347,732,721,183,086,
208,257,622,753,819,209,587,074,087,075,344,056,996,091,444,876,615,797,399,
562,894,915,125,666,820,871,136,994,863,949,738,986,188,308,849,979,256,692,
520,180,103,265,526,379,201,102,668,031,185,220,289,074,918,295,986,341,794,
243,609,850,491,547,553,115,962,792,870,650,191,103,875,602,022,626,119,395,
430,762,783,633,878,287,041,802,651,729,893,167,033,877,282,610,508,187,469,
332,788,752,114,214,710,735,832,830,879,234,739,717,794,260,073,920,110,897,
232,058,090,705,415,213,983,914,769,319,563,245,961,347,544,426,645,349,977,
023,295,301,405,386,888,381,906,059,789,812,042,355,551,821,899,277,680,050,
982,203,918,543,477,857,058,168,977,620,481,275,543,871,477,693,171,557,741,
766,492,437,073,408,080,436,852,810,156,816,647,307,297,303,113,102,302,305,
995,136,608,410,215,571,960,324,336,988,694,321,896,551,376,590,773,033,592,
409,446,760,658,589,387,643,668,433,270,725,269,699,408,154,777,578,066,183,
270,771,235,260,874,581,244,825,216,651,430,591,040,630,271,542,415,699,783,
766,012,967,459,299,478,283,142,184,967,109,703,233,959,400,371,558,872,928,
352,150,175,790,197,799,632,893,628,763,653,608,415,709,704,064,279,756,004,
208,969,820,229,777,552,888,904,775,593,148,566,773,816,179,511,364,481,725,
481,817,360,718,670,039,015,571,785,387,473,054,922,456,716,882,194,925,135,
867,624,206,833,057,206,488,512,090,866,809,657,734,243,525,664,669,937,589,
450,895,005,164,753,026,028,516,158,161,737,397,660,559,632,591,657,276,849,
599,655,822,784,695,499,539,046,557,027,694,392,812,816,709,204,561,768,753,
693,152,329,317,290,985,891,768,711,929,352,027,566,223,050,944,993,884,463,
568,159,370,202,410,520,563,631,960,439,515,032,101,656,746,254,932,860,407,
888,593,759,653,986,745,867,938,182,703,261,474,778,934,932,271,738,115,470,
020,288,375,020,915,914,229,312,224,379,261,006,681,218,438,304,236,428,004,
564,157,527,366,398,128,887,215,440,639,914,852,374,412,065,792,504,672,552,
605,782,730,380,130,596,703,484,251,339,076,481,888,758,604,291,623,502,466,
373,923,620,294,889,580,908,080,129,505,499,185,358,461,845,140,039,475,155,
400,472,114,208,917,763,051,410,610,590,691,578,759,690,084,595,233,026,614,
838,234,510,388,944,907,191,010,405,313,467,533,228,973,965,128,457,220,110,
704,859,663,459,754,832,037,987,776,540,326,433,941,668,535,047,537,403,883,
280,032,793,361,311,958,091,942,149,685,555,604,150,171,567,224,325,622,955,
339,257,032,999,696,321,930,745,636,170,345,172,454,847,599,368,260,696,725,
618,406,699,775,712,345,246,303,205,373,379,896,459,785,852,727,510,136,443,
616,895,763,269,536,837,965,771,168,455,146,118,142,570,777,299,157,430,565,
467,826,009,293,158,199,197,755,812,843,685,457,696,894,479,655,284,804,134,
900,699,218,078,288,353,941,099,699,109,266,489,563,163,770,418,592,514,038,
575,583,480,382,483,544,546,130,531,810,352,301,577,649,140,186,931,204,476,
836,309,472,978,409,059,108,614,189,277,052,419,361,033,041,288,129,997,257,
872,059,191,358,033,988,724,724,365,710,528,265,882,376,277,594,083,712,691,
595,496,206,284,193,457,108,915,050,218,607,945,787,697,735,375,886,558,253,
536,612,137,307,501,917,163,091,871,081,179,303,469,622,696,834,354,666,006,
771,164,185,582,177,398,874,450,402,032,193,057,506,058,426,639,430,497,304,
031,819,429,715,766,948,965,337,605,986,937,706,881,027,833,736,685,704,012,
316,736,325,185,306,716,239,203,809,260,248,140,139,009,384,743,594,964,260,
453,341,339,514,186,476,398,019,615,968,518,656,785,144,705,924,742,977,326,
634,946,131,958,154,947,431,220,310,881,881,396,914,021,622,485,044,039,677,
767,164,450,392,760,819,041,877,341,555,606,556,642,355,125,956,243,156,690,
604,505,810,921,237,496,930,574,654,760,998,245,299,236,097,092,094,625,367,
042,129,585,871,818,390,663,736,666,479,916,464,845,504,217,323,863,549,616,
805,980,214,124,246,192,023,723,551,326,812,157,971,171,849,170,591,805,967,
614,498,710,241,379,291,503,336,185,543,386,209,672,362,990,387,792,118,142,
627,331,093,628,475,088,221,581,780,530,281,838,328,309,382,637,646,906,610,
189,124,878,662,389,054,007,645,052,954,670,422,363,382,134,387,661,202,694,
056,760,732,822,275,056,785,017,999,539,043,777,145,603,414,636,975,196,869,
210,108,589,557,849,280,914,949,245,117,674,380,513,622,768,825,196,486,000,
180,165,901,872,673,964,607,579,216,968,860,403,361,784,190,997,786,791,464,
342,897,583,938,302,524,466,378,863,991,933,706,176,401,472,539,671,094,629,
650,925,985,402,436,178,148,716,816,081,313,682,935,357,018,459,895,001,841,
823,012,577,584,252,453,812,878,618,980,443,502,392,809,744,386,205,674,177,
241,319,893,904,752,630,013,817,763,321,947,269,433,258,435,448,409,229,806,
970,591,244,369,753,595,322,350,630,315,882,174,351,450,959,729,120,228,336,
600,806,728,472,403,568,191,283,134,529,760,914,647,081,674,380,861,138,389,
251,321,252,905,691,876,974,088,707,804,399,512,688,208,239,292,907,144,751,
698,821,063,700,713,438,262,806,956,993,436,656,465,235,877,582,294,356,834,
031,484,184,029,619,282,261,396,722,892,702,691,831,293,706,724,451,872,399,
721,217,173,667,022,071,250,402,930,505,291,646,363,337,558,008,286,430,180,
601,976,241,325,496,782,451,417,726,671,773,551,698,509,593,070,474,339,856,
301,831,495,166,262,862,680,101,567,136,202,893,521,523,871,540,614,475,658,
197,381,986,892,159,293,390,838,618,841,575,583,039,432,924,381,222,162,983,
916,840,783,559,042,656,595,081,972,936,681,332,276,292,882,554,412,343,291,
257,377,461,515,218,350,085,476,448,805,609,432,165,740,091,806,100,839,620,
796,070,350,841,406,646,147,693,678,613,079,775,375,449,430,430,555,302,499,
642,374,309,751,026,229,489,338,374,397,526,110,895,960,673,131,114,356,491,
372,172,890,305,879,812,421,418,658,967,936,052,431,642,253,315,555,998,142,
184,707,580,993,575,752,478,583,243,557,061,697,301,523,096,272,554,712,805,
339,573,092,522,531,365,036,118,314,396,374,222,846,948,505,153,924,316,243,
731,004,984,201,269,824,236,172,394,823,271,207,049,832,877,019,688,860,208,
176,582,404,346,624,389,847,799,302,958,047,867,533,460,920,626,158,651,227,
353,618,936,987,871,896,824,252,350,304,794,174,204,345,595,519,166,871,011,
108,140,069,109,725,908,814,420,736,568,741,330,526,897,403,912,416,485,753,
724,101,841,933,716,051,029,692,396,535,093,402,640,150,270,486,142,753,636,
248,634,135,976,004,175,307,674,515,977,939,845,149,675,270,897,525,615,427,
945,352,071,397,484,560,913,016,622,613,744,393,612,413,023,528,707,918,257,
039,181,389,323,790,851,078,455,468,305,271,907,601,660,398,436,807,767,160,
956,209,305,717,047,478,274,953,261,473,312,712,237,346,270,346,439,367,850,
857,425,743,507,911,038,288,547,759,742,995,919,316,751,919,722,573,698,780,
862,444,444,954,934,470,956,735,444,126,802,894,747,436,924,882,312,150,447,
467,665,970,957,025,019,910,579,881,501,318,906,159,354,273,413,842,133,654,
894,905,531,162,647,989,225,424,440,267,626,916,039,444,142,798,469,741,771,
263,578,788,664,995,704,310,089,889,851,302,293,750,976,876,227,280,781,540,
814,187,722,467,468,303,988,874,500,747,057,695,547,976,258,716,739,396,178,
099,260,568,968,484,172,398,564,527,967,116,032,603,082,514,337,812,451,881,
852,135,283,094,424,726,872,726,776,154,473,437,657,780,301,420,855,849,156,
719,921,472,353,358,552,657,798,938,070,514,169,560,850,201,319,619,185,737,
508,777,589,515,591,842,435,582,251,576,402,575,820,041,842,725,826,954,781,
262,438,535,296,381,006,898,067,612,306,841,569,347,170,317,329,666,780,061,
318,410,257,191,885,995,344,669,895,293,357,859,029,845,935,540,222,236,552,
798,804,058,105,003,661,498,267,454,787,665,920,872,423,126,401,112,825,765,
174,009,738,102,423,672,125,293,490,071,926,477,965,947,367,239,086,356,804,
590,228,277,102,505,365,932,651,275,212,385,029,490,406,176,206,846,341,874,
231,093,585,259,415,931,541,965,521,514,664,744,509,519,266,669,699,419,442,
303,089,926,330,631,769,160,324,776,940,629,367,750,340,106,030,007,822,526,
522,296,198,705,030,185,076,621,892,238,862,301,256,026,679,443,800,257,986,
856,148,049,616,829,519,773,505,182,730,173,585,277,882,497,660,934,694,160,
583,488,127,537,578,344,097,819,759,776,611,754,607,807,294,173,877,714,374,
592,369,161,429,753,533,279,393,304,427,979,283,008,487,663,492,706,982,648,
839,078,262,497,214,060,412,816,526,706,542,502,647,728,693,008,994,182,229,
995,786,188,793,229,645,155,849,060,283,189,584,458,753,383,799,384,844,687,
259,428,184,944,973,302,692,420,827,055,952,821,756,855,835,175,879,798,156,
861,900,242,200,326,113,902,040,747,042,183,365,761,747,046,202,782,204,000,
710,493,738,666,483,869,246,662,201,340,094,356,938,317,823,213,768,586,085,
645,454,940,069,363,074,191,491,547,668,349,181,531,260,458,743,860,827,769,
430,326,223,574,588,029,961,425,331,273,289,601,547,547,564,942,430,062,855,
473,711,658,597,980,896,358,908,862,598,946,584,272,615,748,782,952,328,065,
385,339,456,184,206,369,770,108,795,499,401,090,181,227,165,145,171,395,229,
031,351,916,823,936,525,910,395,501,011,440,127,449,295,378,694,160,252,894,
714,486,003,519,308,399,969,092,205,664,546,217,840,704,351,966,874,848,697,
704,655,652,219,836,543,217,149,898,272,718,386,121,550,153,706,345,225,046,
406,109,663,888,823,420,376,926,362,002,826,195,613,174,722,862,375,071,618,
958,410,507,240,275,875,644,618,419,755,236,247,203,003,269,781,295,612,812,
276,973,065,802,174,816,608,447,617,028,515,816,009,890,570,789,027,932,317,
629,461,739,828,119,930,088,293,865,304,728,691,411,526,573,347,425,529,949,
438,051,148,968,450,243,834,101,296,079,973,807,363,160,239,289,764,413,419,
806,457,578,948,337,863,396,872,229,213,895,967,033,720,125,314,878,480,499,
209,159,396,859,548,745,694,360,834,173,784,788,649,242,293,794,285,950,472,
676,669,932,049,145,526,244,213,900,023,152,709,954,705,890,675,808,258,087,
981,876,969,976,590,247,743,978,093,326,733,059,928,466,901,526,538,928,486,
187,597,079,627,243,609,969,817,308,890,919,223,966,117,842,135,737,816,945,
435,673,503,611,042,139,883,532,080,999,145,410,963,798,907,490,217,305,923,
322,895,650,187,402,958,564,058,540,392,264,478,306,139,884,916,909,503,098,
292,616,142,669,322,325,738,127,854,289,262,575,182,948,068,250,604,867,762,
840,398,295,483,553,725,591,639,236,109,968,595,786,685,596,721,099,534,108,
041,660,091,849,100,988,582,616,171,821,362,343,378,672,007,134,696,286,242,
688,239,613,849,050,232,306,438,610,143,210,375,987,766,965,938,020,110,646,
695,189,818,583,924,636,325,622,474,901,650,969,060,727,354,818,942,153,201,
454,516,369,192,543,386,982,438,195,610,176,242,191,064,472,936,659,221,437,
712,171,865,063,161,238,762,867,600,365,677,782,953,516,160,357,451,017,699,
035,916,902,730,993,450,938,735,852,485,016,636,036,518,453,126,528,101,745,
365,172,601,830,697,281,859,808,047,560,096,502,897,614,109,750,620,839,144,
261,157,707,587,387,285,612,250,073,796,267,427,804,669,347,232,384,082,735,
256,536,414,147,409,769,005,160,543,199,344,113,559,159,153,488,772,083,039,
014,530,362,034,140,732,299,743,714,417,063,573,990,339,690,426,496,003,912,
883,677,793,979,653,333,873,959,554,166,840,664,053,535,459,377,818,872,794,
027,518,375,159,745,429,294,937,102,738,892,760,138,743,066,972,156,618,799,
509,477,181,519,597,669,412,843,910,850,050,226,747,907,969,482,865,466,754,
632,906,221,884,814,879,313,174,567,086,068,226,644,260,636,917,145,361,342,
392,046,010,550,683,434,137,664,004,666,010,434,169,732,330,265,625,448,338,
688,246,356,372,129,025,263,307,573,878,297,731,475,521,181,513,351,780,928,
786,835,018,069,273,353,168,055,741,948,912,471,870,110,336,017,383,641,419,
432,548,252,649,926,300,523,672,096,629,342,797,317,781,840,945,483,004,115,
512,993,688,827,885,773,443,384,723,964,910,425,785,719,076,640,726,696,308,
225,448,592,166,917,419,286,662,919,023,276,011,367,982,852,699,923,498,355,
439,424,956,273,707,350,810,062,437,447,474,001,906,981,113,813,039,680,406,
238,383,269,304,293,443,877,384,020,106,040,316,866,993,145,047,037,241,237,
388,855,897,409,198,535,755,792,492,764,796,520,966,501,156,241,013,707,121,
292,941,591,843,775,099,634,684,873,344,140,484,614,371,257,527,119,603,353,
400,433,058,302,932,587,494,760,321,934,498,380,442,466,796,363,886,537,179,
430,133,754,679,676,492,639,734,515,456,569,764,447,663,849,480,619,350,000,
396,525,620,273,917,546,930,169,099,450,502,665,940,569,736,614,466,086,872,
233,645,371,463,435,933,826,446,948,513,371,252,487,452,702,179,217,172,207,
100,350,397,314,792,664,454,299,844,732,190,133,895,827,527,908,801,494,163,
631,635,772,776,959,823,992,683,172,640,679,685,321,621,902,845,240,470,064,
199,065,516,320,744,045,748,868,920,074,613,370,632,785,599,166,458,920,140,
351,103,854,657,943,412,721,432,733,293,257,487,052,743,909,843,987,210,408,
998,863,518,135,045,084,339,899,486,964,440,893,855,404,983,211,055,774,035,
907,433,537,764,390,980,580,851,247,266,795,891,863,477,355,022,708,207,942,
590,244,499,880,968,886,504,817,802,778,153,424,835,413,071,056,948,947,072,
650,484,618,245,618,991,129,880,909,175,975,083,808,440,960,401,316,045,412,
722,539,626,250,171,750,887,686,211,926,535,728,925,566,122,846,483,656,416,
752,037,225,775,989,966,683,316,542,405,721,279,590,448,207,592,200,085,646,
434,051,845,921,923,625,841,105,770,659,553,963,000,086,346,174,075,544,200,
416,839,493,618,569,679,548,444,386,155,693,903,907,505,448,391,954,231,156,
467,310,521,091,623,895,376,242,297,898,059,829,708,794,284,589,908,164,322,
839,062,575,786,833,275,725,679,322,417,650,211,991,243,439,405,136,493,252,
957,937,658,105,929,568,644,590,989,956,585,912,751,071,378,662,446,856,222,
620,762,005,611,783,833,638,738,830,161,372,435,160,500,145,962,836,388,220,
436,854,903,574,811,964,078,130,095,359,382,119,414,871,625,268,133,779,209,
781,331,125,059,167,284,891,076,257,495,294,370,926,403,677,455,677,964,870,
591,188,269,692,956,323,675,875,640,421,075,537,191,788,329,594,312,997,800,
178,450,674,329,189,544,124,255,310,411,022,918,356,270,066,992,991,006,968,
952,039,608,683,638,157,455,064,134,711,320,189,054,524,287,978,771,231,761,
706,425,590,073,797,203,905,615,809,574,568,563,836,297,701,118,650,371,063,
784,451,319,494,105,832,091,023,708,587,712,289,739,837,124,973,451,768,747,
620,191,716,535,932,802,161,004,684,233,053,730,866,328,618,835,954,370,641,
751,359,386,903,087,259,167,332,804,035,080,435,490,755,662,208,974,372,422,
234,151,404,072,246,537,552,322,405,793,168,380,226,293,473,800,153,169,066,
527,036,898,709,119,788,567,083,944,338,201,958,333,301,997,683,147,255,582,
235,950,119,136,082,011,655,533,510,632,103,826,674,857,356,533,613,611,731,
351,638,732,381,833,172,481,980,211,159,027,696,927,849,994,754,253,174,984,
081,614,893,209,134,458,370,974,490,947,183,067,654,011,439,884,740,973,330,
167,590,977,239,708,179,925,427,907,957,691,887,266,176,542,940,128,810,131,
301,223,748,133,195,854,813,050,963,046,604,675,337,283,097,256,003,771,253,
145,565,515,719,949,321,015,992,675,235,839,251,564,463,475,126,377,969,038,
546,126,570,414,075,977,077,465,532,356,377,852,672,830,498,687,477,746,233,
154,087,541,599,180,501,845,569,488,137,714,083,712,683,766,631,103,889,686,
971,351,998,296,224,023,491,328,730,848,080,076,904,108,948,048,871,865,462,
569,978,031,730,205,635,081,695,602,194,646,160,348,575,224,435,842,724,415,
556,505,224,157,906,960,807,169,915,968,464,671,716,493,189,857,864,936,141,
301,409,630,438,681,018,772,392,604,898,936,070,059,320,306,374,634,377,369,
145,331,884,676,251,840,691,319,506,829,887,417,197,225,334,970,617,974,739,
023,560,285,832,314,362,006,470,816,089,080,439,942,333,410,712,217,784,128,
182,957,195,802,533,051,154,374,018,319,614,035,822,639,592,945,479,652,083,
063,153,262,796,326,366,019,548,673,367,467,557,269,327,927,619,863,147,495,
285,505,565,408,387,401,908,164,048,485,884,732,774,641,914,903,884,710,429,
845,816,352,392,775,950,704,364,167,015,589,091,474,682,714,696,303,814,747,
644,861,998,733,443,292,206,401,350,437,048,652,741,352,602,987,094,563,756,
967,597,999,503,324,076,118,216,642,785,066,036,322,948,885,434,544,152,274,
811,917,967,806,984,659,211,094,479,012,860,022,502,480,383,594,880,564,927,
729,326,742,790,874,539,886,501,183,458,459,295,317,559,201,393,963,519,999,
181,764,205,721,120,582,550,701,818,093,696,563,294,693,566,488,241,701,284,
999,856,175,191,616,210,862,274,968,402,006,294,889,493,171,259,947,154,193,
626,550,383,629,403,834,201,789,308,276,830,126,949,520,533,053,031,251,666,
842,955,518,006,690,466,271,274,835,882,417,015,854,706,560,220,669,833,270,
828,930,417,095,155,532,487,158,928,436,742,189,240,738,284,019,945,126,220,
669,844,695,572,217,227,652,465,368,886,412,177,854,624,574,732,334,493,677,
692,092,521,076,827,541,390,300,850,295,332,312,588,772,328,310,688,543,076,
154,043,696,678,448,354,566,347,677,362,997,316,271,506,308,025,588,016,736,
385,340,326,948,836,048,612,199,486,463,448,765,996,194,033,241,028,484,153,
555,083,089,809,984,280,637,121,796,581,024,851,284,029,669,020,484,304,825,
163,929,889,696,706,235,136,671,671,727,212,661,347,257,290,358,374,140,330,
720,383,908,858,428,077,605,826,607,849,407,524,637,166,608,197,517,056,317,
562,072,235,151,847,784,896,857,498,081,539,283,746,905,978,193,488,173,794,
969,544,684,070,343,964,654,537,640,290,101,284,793,375,077,463,300,502,101,
219,621,150,991,250,079,874,135,603,070,059,902,758,331,022,111,032,000,193,
624,248,875,024,102,575,644,147,176,813,138,602,034,536,644,057,960,932,450,
795,464,694,295,040,131,514,407,774,032,874,615,554,774,473,214,609,377,940,
425,271,954,297,522,747,297,628,827,771,634,673,138,819,653,679,405,135,081,
118,679,073,382,076,277,263,478,874,188,541,604,803,839,998,167,545,761,618,
447,645,795,467,153,791,002,249,834,531,631,936,569,577,670,327,863,705,991,
038,841,421,521,054,342,473,552,446,684,068,593,765,591,460,487,231,123,762,
674,497,924,945,568,874,769,802,889,327,530,599,643,155,366,515,827,267,047,
450,549,687,107,723,672,678,051,340,158,907,074,454,725,481,633,987,883,691,
491,958,075,150,826,516,302,771,100,876,224,411,479,064,662,756,739,583,612,
005,453,823,144,333,313,264,343,508,498,098,247,509,663,913,626,861,204,503,
508,767,752,127,237,772,303,377,682,896,542,664,341,422,235,753,932,846,857,
213,610,419,473,663,394,183,777,871,146,174,170,945,586,709,043,289,431,780,
117,450,165,440,473,550,301,309,225,837,663,821,426,241,208,162,186,564,289,
243,053,358,566,023,752,882,357,500,929,307,447,948,257,755,560,890,558,056,
050,514,467,939,794,865,700,600,720,604,193,123,463,622,348,868,901,093,518,
344,487,798,652,826,282,662,420,072,469,684,986,179,456,723,396,798,727,761,
303,330,449,686,434,004,105,643,550,585,383,388,782,261,099,610,357,683,482,
643,715,840,091,164,590,774,137,462,830,234,056,264,429,998,148,976,161,650,
976,668,856,106,862,438,190,532,095,531,884,756,417,362,941,800,501,140,160,
188,824,026,318,791,728,838,551,996,675,651,663,774,317,595,105,480,886,041,
652,392,664,782,567,704,336,786,087,478,334,786,705,743,829,694,860,464,787,
916,446,768,329,755,731,374,997,149,690,742,150,223,934,323,449,786,220,118,
049,534,425,673,015,487,325,550,457,340,248,427,176,746,547,690,982,548,895,
415,166,357,025,840,254,644,870,846,637,915,673,789,653,899,854,998,222,582,
478,921,138,968,899,832,514,274,443,086,128,240,398,014,502,713,310,233,671,
966,163,982,721,044,044,451,496,982,928,638,465,685,385,099,425,395,354,568,
686,314,655,360,948,050,186,649,412,707,346,095,657,757,153,362,177,321,303,
503,325,817,462,033,328,547,879,914,216,163,582,819,775,717,538,890,127,018,
641,071,751,687,725,800,352,897,438,670,521,080,554,908,939,515,681,708,442,
019,838,436,268,013,174,216,751,653,874,433,656,093,966,063,835,060,085,326,
108,703,138,889,280,029,347,713,985,001,452,282,805,170,319,063,971,805,579,
302,760,271,403,061,277,049,312,453,596,957,899,754,858,342,544,031,600,471,
475,722,659,868,757,064,417,446,909,348,923,898,135,457,161,308,802,440,098,
703,884,149,764,540,177,917,349,174,401,160,531,251,332,089,268,970,676,771,
571,059,886,005,812,576,944,545,886,015,031,460,258,033,554,678,080,089,384,
789,194,496,204,780,251,394,873,319,328,534,887,793,271,037,070,266,823,671,
529,734,956,748,326,950,844,248,033,259,103,033,226,230,662,675,955,930,887,
522,122,335,506,697,320,909,585,397,383,055,003,455,775,792,023,602,727,918,
055,755,706,839,231,998,775,840,042,318,754,963,351,470,294,944,713,044,611,
591,273,932,003,498,294,840,157,490,063,912,250,813,996,231,915,600,472,697,
233,477,479,467,131,630,601,475,042,682,383,961,709,013,644,723,078,965,215,
139,431,469,599,329,848,201,077,812,564,845,780,779,918,102,114,498,471,919,
736,961,410,072,045,749,244,343,009,419,319,452,451,330,392,064,220,994,201,
075,078,111,456,444,267,698,226,887,479,262,789,466,751,175,113,177,205,770,
889,774,878,919,952,649,499,350,636,556,051,690,941,900,813,023,473,813,040,
863,640,106,352,963,938,671,662,733,070,902,294,272,983,763,602,440,321,244,
775,626,016,170,576,105,477,521,776,309,688,204,990,545,606,811,158,180,961,
295,114,525,166,455,615,792,652,564,738,923,385,207,261,908,582,486,383,954,
285,364,395,489,915,825,772,407,870,984,246,333,669,074,120,409,152,429,292,
730,590,939,264,450,907,922,007,575,074,621,069,690,926,399,746,217,756,255,
032,714,701,921,314,833,120,723,371,638,942,051,580,312,847,288,409,831,241,
702,620,873,189,151,503,615,903,555,641,083,613,345,117,973,972,345,214,526,
132,514,010,889,597,107,111,669,007,373,248,519,941,029,796,560,120,349,646,
267,144,818,816,882,585,239,214,401,345,282,675,718,982,354,719,284,236,644,
986,536,882,313,970,668,922,561,812,840,624,597,265,165,378,311,712,703,742,
732,883,977,736,564,244,129,070,585,861,051,061,318,909,565,023,746,523,354,
425,129,071,821,241,833,328,270,544,994,780,983,192,315,248,850,021,622,743,
493,220,753,751,938,852,304,332,817,584,702,593,041,812,636,580,678,195,743,
377,409,829,411,505,009,668,678,667,384,618,801,552,367,430,424,476,855,169,
598,979,270,798,220,325,154,012,374,940,487,692,636,984,674,040,430,321,363,
959,842,959,810,077,597,952,035,051,431,536,588,303,765,634,055,592,357,692,
829,721,463,572,062,830,169,213,728,186,796,805,423,692,149,545,072,730,659,
330,988,175,183,768,961,693,613,570,019,296,558,674,644,070,666,206,271,035,
621,647,892,052,922,632,904,702,896,755,804,425,463,100,730,528,882,223,403,
373,996,952,399,717,704,806,660,590,399,288,226,816,737,555,806,617,382,568,
673,695,684,378,699,731,977,620,449,345,939,870,267,408,039,999,940,252,796,
466,131,277,272,360,223,534,295,962,452,710,761,041,835,110,264,514,993,499,
663,998,537,224,551,199,767,562,909,582,735,228,637,493,910,320,548,317,326,
855,134,012,939,639,078,315,241,260,212,274,081,373,311,504,726,184,912,665,
030,109,536,887,672,474,208,833,658,382,275,029,810,682,966,864,927,682,244,
095,579,649,450,128,637,236,322,771,110,049,664,191,143,223,363,044,534,223,
399,155,957,204,727,132,328,210,022,519,645,549,769,539,666,670,355,010,388,
127,365,505,556,929,675,743,762,786,576,125,457,011,468,053,632,597,521,163,
338,427,495,128,827,679,092,864,586,353,390,449,695,848,651,284,489,341,670,
381,690,391,446,058,967,642,309,975,261,759,422,787,847,500,994,155,072,363,
990,041,186,116,348,284,941,017,152,970,043,834,808,043,678,094,810,590,668,
555,495,158,020,676,967,177,584,437,800,142,783,087,296,928,903,043,144,967,
194,931,064,351,936,294,676,105,413,157,245,470,751,608,037,202,504,431,221,
508,278,511,295,071,700,893,172,569,395,331,744,372,519,793,575,799,186,239,
474,135,547,017,025,035,922,340,590,759,265,730,448,307,641,781,739,086,993,
710,970,213,874,134,591,627,194,443,503,780,162,598,361,881,233,788,491,384,
368,347,055,015,767,034,470,458,704,743,615,041,649,920,933,390,733,565,093,
209,175,389,414,850,252,467,856,745,048,741,154,885,082,560,891,447,149,378,
202,173,823,273,012,948,732,303,045,253,620,228,346,928,432,822,523,691,389,
836,753,094,359,025,996,915,219,585,482,552,452,179,328,165,016,585,281,195,
824,108,831,084,040,012,820,728,239,155,929,798,173,592,171,488,843,899,730,
553,339,565,274,252,473,015,874,794,266,057,464,533,783,252,470,681,950,582,
792,417,950,117,093,301,611,795,367,703,184,934,358,105,501,458,485,318,798,
542,304,327,588,634,679,929,182,568,721,831,663,029,575,212,771,727,842,485,
938,913,677,798,911,662,055,901,874,664,662,257,782,618,352,657,343,511,829,
908,055,830,977,610,302,297,720,365,206,277,005,805,997,452,915,092,168,423,
752,111,882,459,780,790,202,812,071,796,335,225,180,315,805,959,960,776,303,
920,510,941,346,681,710,979,534,986,709,069,686,354,816,847,918,065,157,280,
087,902,872,661,880,648,484,313,964,029,566,189,731,304,747,834,271,870,005,
515,415,251,941,152,068,519,292,793,779,102,899,315,930,003,239,903,375,602,
421,004,020,870,939,181,886,325,028,039,144,759,296,541,838,739,140,068,256,
022,274,790,536,453,241,153,555,541,066,282,157,355,910,784,739,770,598,552,
821,962,571,714,851,478,639,429,115,456,121,086,392,071,602,650,023,439,061,
823,878,378,017,263,445,170,744,162,777,376,794,998,890,475,528,222,958,120,
089,816,759,904,870,540,934,746,819,083,292,593,950,394,129,670,861,044,296,
738,420,892,843,798,458,923,390,737,902,448,865,670,886,893,347,286,538,563,
472,565,607,610,659,174,168,769,663,331,832,484,785,574,086,268,351,760,441,
895,197,554,426,179,291,722,948,641,593,487,497,972,941,323,831,894,593,414,
130,048,794,542,649,791,646,630,920,808,998,450,361,088,663,480,756,829,399,
808,795,761,842,442,510,545,409,005,529,177,712,647,868,900,457,657,757,390,
782,498,885,790,145,655,550,990,316,110,398,199,858,435,482,330,994,806,767,
141,176,033,349,058,710,849,808,049,585,222,164,950,889,870,862,382,767,959,
539,721,234,532,337,406,002,267,221,782,615,641,737,484,915,880,224,753,152,
411,771,588,246,473,943,933,204,129,439,750,796,120,434,071,495,673,036,805,
813,617,488,365,357,696,272,512,125,233,205,745,974,031,268,870,422,385,779,
471,545,468,124,564,708,997,445,869,528,325,655,720,278,748,008,081,045,710,
581,690,837,452,239,639,490,933,648,945,558,474,042,095,358,452,831,106,601,
681,426,716,618,113,673,623,561,573,107,242,416,909,966,223,091,824,759,742,
153,445,064,868,577,359,578,735,300,233,548,721,081,145,424,742,440,134,069,
097,690,900,973,597,435,545,012,704,244,382,387,917,231,557,064,942,045,109,
832,216,493,694,406,460,606,798,247,276,646,314,720,666,432,876,715,725,000,
337,404,891,207,296,862,542,325,232,953,873,008,035,800,462,433,950,014,585,
142,335,061,483,954,277,701,672,275,505,700,566,781,197,180,485,982,918,784,
818,611,476,639,754,602,970,550,265,139,065,460,528,433,876,223,221,049,049,
476,797,006,157,969,570,486,685,450,053,628,724,329,013,130,206,958,805,270,
644,845,146,963,180,881,852,524,969,823,291,516,392,326,926,143,298,870,220,
045,534,953,854,048,010,199,622,110,716,476,128,409,788,005,838,800,481,055,
836,093,135,002,244,754,802,355,814,324,689,492,049,388,754,373,120,935,208,
117,799,553,945,319,643,974,611,626,748,172,180,104,509,234,391,687,222,310,
427,141,470,253,287,022,425,453,942,964,439,900,364,383,722,836,221,310,231,
765,936,609,192,470,476,569,869,437,739,714,486,055,399,770,329,885,033,839,
976,781,066,139,992,002,326,224,474,770,622,985,979,217,531,962,984,100,398,
015,254,242,609,946,311,115,157,243,310,502,681,272,065,506,929,990,684,185,
972,512,883,043,930,667,629,966,092,666,669,115,390,653,291,056,133,902,953,
050,362,719,032,070,087,839,346,622,914,243,028,786,242,459,530,275,374,097,
064,124,822,750,969,690,290,202,053,188,473,144,217,340,897,950,479,602,889,
741,714,016,001,629,406,424,961,988,858,250,342,137,381,917,278,767,976,922,
261,689,041,519,356,512,869,598,449,654,732,812,160,887,366,065,259,666,931,
890,719,656,950,071,245,534,633,472,174,552,655,002,484,181,919,646,624,821,
176,336,826,349,578,079,742,509,733,755,250,558,778,511,745,469,290,276,343,
122,018,921,287,579,153,861,419,717,788,116,359,254,654,449,423,921,401,571,
965,967,729,202,097,004,491,801,877,084,087,389,118,177,918,077,742,096,964,
037,106,427,806,807,536,905,223,056,280,206,187,088,319,174,339,766,640,579,
556,410,276,356,183,280,564,598,756,496,815,132,231,022,607,535,593,812,853,
409,174,577,012,276,966,554,911,864,931,925,198,150,329,166,638,834,695,007,
285,941,727,048,011,641,356,322,150,107,801,144,754,810,417,600,736,055,016,
727,946,571,842,966,451,970,345,517,508,270,308,124,074,803,604,666,216,551,
704,628,882,058,558,233,252,154,015,300,128,266,899,968,788,696,303,147,337,
931,367,228,464,954,867,655,219,840,357,088,000,597,983,809,656,140,895,419,
293,701,347,302,032,407,819,091,486,916,972,328,906,880,252,401,412,085,614,
353,806,084,996,122,481,396,989,244,952,196,068,850,734,842,467,109,349,793,
077,945,549,600,117,958,864,887,427,039,351,325,043,988,106,575,163,325,195,
947,501,873,414,068,086,208,179,636,419,471,676,086,459,583,292,899,163,859,
669,931,477,928,436,166,650,673,991,396,214,553,975,598,546,120,918,230,222,
478,572,295,961,716,745,426,207,649,740,580,038,076,939,242,637,014,793,197,
784,336,120,064,091,500,207,203,165,929,110,632,542,397,215,384,412,205,265,
327,271,027,022,718,971,150,395,023,743,171,242,709,288,535,953,778,043,656,
504,338,032,003,756,613,213,500,947,243,986,686,160,284,341,001,546,171,948,
955,496,951,723,012,005,335,023,080,475,115,303,701,002,681,370,714,397,648,
348,221,733,261,505,334,912,689,480,712,601,555,682,713,932,488,992,249,455,
825,489,364,117,349,227,669,127,922,611,545,212,326,125,051,924,951,921,372,
866,558,874,321,540,814,756,193,280,300,713,497,838,739,820,562,478,790,773,
196,104,871,772,982,448,874,168,349,405,222,398,784,884,136,577,576,440,401,
699,687,658,177,298,184,415,068,146,149,412,420,198,005,433,443,214,027,300,
583,493,367,330,933,715,347,992,832,255,493,834,444,305,646,140,411,613,174,
152,416,021,506,923,318,439,425,121,199,732,225,410,032,667,050,274,126,910,
466,157,366,364,963,239,042,256,298,214,325,806,422,686,435,860,490,806,430,
185,674,928,283,926,986,862,694,549,513,788,996,580,999,150,446,993,878,700,
369,946,986,292,479,219,126,793,430,323,407,444,207,296,443,351,418,119,944,
539,486,328,170,795,626,955,396,679,102,927,507,304,882,103,753,955,552,965,
075,834,363,936,865,326,807,101,214,966,686,062,430,052,577,225,628,066,941,
966,482,989,516,918,640,396,100,115,963,578,985,827,412,126,163,943,612,401,
878,966,096,212,544,761,051,407,480,107,032,389,472,927,091,233,066,974,957,
057,376,745,026,741,168,770,099,982,101,026,146,547,118,301,436,279,222,130,
435,915,007,567,831,323,720,188,696,124,241,237,208,546,698,875,032,009,653,
360,645,916,795,484,995,183,852,761,792,561,953,450,259,391,538,524,714,213,
933,885,766,920,236,331,668,272,382,467,506,117,231,742,227,515,664,556,638,
858,598,156,000,291,831,120,942,549,553,481,065,151,211,139,341,122,934,536,
021,859,731,541,637,795,513,083,117,402,371,633,846,259,405,321,140,080,837,
995,747,350,318,667,796,505,261,521,032,127,716,734,774,445,127,071,586,776,
292,700,805,213,963,898,962,429,891,062,596,299,268,189,257,001,044,411,797,
794,060,652,157,402,997,693,895,867,755,664,583,598,206,063,724,714,322,612,
802,712,895,315,930,326,783,314,690,326,480,803,852,440,796,513,048,940,380,
102,574,112,712,059,589,331,421,612,013,160,647,395,359,662,306,468,139,490,
580,411,829,558,541,864,734,277,886,962,341,106,508,477,823,033,014,780,045,
480,533,448,278,924,358,851,905,806,481,841,928,995,949,458,401,174,797,806,
785,932,347,299,794,662,993,276,282,530,758,829,873,290,934,787,931,310,289,
369,750,009,398,747,870,015,125,464,597,084,091,739,866,711,004,488,499,907,
048,264,192,085,903,746,169,525,016,909,811,755,748,056,068,012,792,028,841,
529,996,072,296,786,849,159,597,106,637,355,580,818,677,381,799,900,386,046,
183,284,042,910,925,381,758,589,787,871,451,228,278,757,522,999,837,603,886,
115,697,849,050,273,546,888,178,670,764,205,536,305,042,803,943,118,581,029,
937,631,386,829,492,477,575,884,569,439,072,747,897,256,093,411,262,564,641,
189,807,465,965,362,042,237,356,736,889,324,385,983,762,877,503,389,584,582,
988,000,433,245,988,409,884,407,590,834,333,742,939,966,998,590,385,119,034,
121,489,028,343,048,164,793,071,002,650,003,429,064,490,596,417,693,242,474,
900,411,806,066,961,786,798,928,894,073,565,926,171,689,688,209,284,143,634,
719,932,756,319,141,410,994,018,507,707,465,565,110,245,902,111,843,299,000,
613,438,893,885,068,351,250,760,209,282,016,272,357,561,631,025,250,797,319,
875,410,528,831,788,721,372,651,503,219,958,492,019,427,034,727,880,877,576,
448,811,148,474,712,102,486,977,205,361,043,557,896,573,372,387,542,809,266,
555,514,395,874,366,991,245,718,484,808,155,493,654,559,731,286,498,936,049,
868,272,868,478,147,317,465,582,228,732,848,084,962,120,264,182,829,821,573,
567,263,587,973,931,923,474,972,926,354,472,730,284,400,728,795,020,468,199,
620,342,064,296,787,143,684,480,062,451,586,082,033,862,198,950,123,140,157,
297,296,755,062,369,227,681,768,014,683,151,508,352,477,248,186,009,187,148,
014,753,698,228,632,333,810,306,285,045,725,359,398,732,068,531,630,116,440,
428,992,441,954,251,390,778,381,290,795,289,526,793,152,195,921,530,734,347,
473,681,928,615,081,004,162,783,121,839,853,530,200,950,285,786,752,083,078,
554,563,337,346,202,675,235,760,813,566,458,127,252,013,490,327,609,590,586,
052,499,205,791,058,939,236,370,257,152,476,312,974,156,765,638,459,589,370,
386,072,073,295,812,714,799,897,209,666,803,391,242,612,292,249,988,998,800,
322,658,649,301,319,622,949,750,839,353,903,539,488,994,144,781,295,539,987,
462,555,378,995,371,012,263,721,055,461,379,400,323,758,032,801,517,168,816,
440,415,222,174,907,361,468,038,600,588,388,075,938,464,244,341,242,174,020,
790,248,797,040,047,391,142,523,734,228,618,045,708,154,572,003,986,339,212,
958,214,380,836,044,987,273,454,132,821,498,119,043,789,735,985,334,677,584,
158,176,803,228,472,637,029,193,623,429,665,119,970,668,394,793,783,646,210,
027,400,433,641,326,823,869,444,729,949,967,370,025,118,743,297,557,049,531,
534,538,317,278,591,994,771,257,082,976,737,205,293,397,609,883,174,859,556,
505,208,028,241,860,363,394,883,648,917,525,084,017,868,436,158,303,843,276,
849,439,835,837,667,588,052,155,699,901,411,260,136,157,745,183,056,365,323,
936,465,409,504,700,432,331,281,489,062,863,310,259,663,110,053,811,672,845,
462,027,999,546,858,143,003,734,661,822,790,580,105,120,202,787,288,741,408,
796,771,630,915,282,151,203,932,253,070,332,255,629,961,416,423,005,343,514,
819,132,298,491,604,783,207,772,987,917,768,876,838,447,449,530,068,232,544,
867,855,070,498,247,551,270,204,578,926,334,259,906,372,522,019,725,701,880,
046,738,037,242,558,064,740,670,908,703,331,067,827,688,227,634,273,844,921,
690,061,010,312,504,906,651,243,304,778,831,772,624,906,073,146,359,556,814,
479,280,965,925,802,238,591,240,147,803,569,345,375,564,034,653,417,117,046,
358,993,814,246,331,205,195,787,171,032,234,509,155,500,374,192,939,913,301,
017,862,489,900,420,840,836,569,251,581,820,848,679,618,347,032,377,619,547,
949,018,379,211,292,914,878,579,224,467,699,522,154,475,301,075,873,279,244,
064,229,435,006,980,805,521,082,140,490,411,273,826,908,129,310,102,672,054,
462,909,770,160,462,066,188,672,177,974,101,271,967,105,954,636,284,150,538,
514,831,384,539,640,439,261,822,447,108,098,116,608,485,387,186,639,841,407,
087,107,209,795,412,788,840,805,023,554,966,210,373,735,443,227,852,188,803,
828,412,355,468,315,690,117,924,593,257,327,839,931,370,909,610,493,512,352,
095,440,585,984,348,955,305,948,446,565,205,469,460,857,144,293,864,805,173,
178,085,635,373,417,528,637,947,576,896,288,374,572,441,789,755,578,004,470,
276,287,908,312,547,181,872,146,031,677,663,773,186,594,802,913,845,711,394,
504,820,797,935,206,599,112,304,447,634,918,620,561,975,555,223,112,292,422,
179,320,351,601,820,332,448,481,069,977,861,147,882,501,039,832,015,363,984,
859,459,420,475,135,463,489,198,360,036,983,482,602,313,156,036,462,135,033,
725,785,821,063,380,714,668,995,675,547,756,559,211,998,658,673,708,961,607,
205,002,149,602,442,205,780,279,142,008,309,360,980,037,490,913,754,852,593,
659,482,592,036,063,148,202,610,896,559,400,275,060,543,384,206,404,491,456,
687,750,262,026,804,767,603,272,754,819,970,704,891,744,890,760,118,561,401,
860,760,351,126,241,683,812,826,960,539,547,520,232,796,433,996,063,492,950,
301,652,071,731,443,459,538,912,068,691,221,034,777,630,431,929,533,520,613,
858,640,034,748,009,075,484,821,814,469,438,924,966,996,929,499,608,794,569,
192,934,603,618,148,970,074,701,801,774,835,954,616,949,042,231,950,977,359,
271,050,205,839,632,627,343,639,016,506,182,688,154,956,148,812,424,962,968,
658,912,014,282,796,739,276,065,469,086,051,105,251,663,168,185,512,411,209,
306,481,371,045,390,207,207,832,546,861,860,519,857,698,041,657,279,433,282,
540,239,195,553,790,269,571,940,631,796,157,644,972,993,937,780,494,266,444,
053,238,084,113,879,456,989,458,666,214,131,159,612,130,221,942,372,213,191,
084,667,682,983,142,027,040,318,201,938,113,792,974,340,405,995,043,844,685,
413,998,484,728,718,582,641,036,523,261,990,190,220,099,507,098,273,761,578,
047,904,602,429,112,927,454,285,643,965,216,875,374,631,360,958,071,955,122,
563,596,001,547,938,663,790,150,365,558,091,287,649,927,282,312,453,638,909,
135,555,791,250,995,965,808,806,431,274,747,607,681,810,915,492,869,943,591,
577,538,231,543,763,003,094,245,230,677,130,714,694,895,659,001,281,144,921,
335,194,079,645,747,945,448,864,469,575,026,283,334,394,566,671,385,408,060,
680,566,410,326,202,875,941,760,425,192,372,640,503,740,400,131,207,877,136,
039,856,059,839,283,035,532,451,900,637,857,905,826,425,270,354,936,733,785,
014,246,506,154,676,707,628,079,150,188,008,034,475,075,791,317,264,206,669,
987,487,810,159,761,012,017,059,941,463,950,002,839,121,517,428,747,855,856,
256,861,069,762,239,461,328,142,517,463,810,947,195,736,735,579,967,512,535,
179,433,383,152,429,224,921,434,499,088,652,297,161,466,632,403,489,396,136,
690,265,245,535,793,770,732,318,485,681,828,636,679,907,852,059,252,110,454,
172,258,548,291,622,198,557,378,000,315,354,077,065,792,962,812,072,863,123,
150,301,337,455,445,178,571,545,964,520,721,847,563,040,885,574,679,008,441,
126,634,279,420,980,563,713,231,702,103,526,027,006,064,351,223,800,383,088,
826,505,448,269,830,390,668,949,640,201,589,679,885,807,570,590,959,124,745,
523,285,260,895,551,027,729,741,044,001,624,643,833,333,377,135,768,585,121,
210,357,598,375,266,858,778,468,066,903,990,341,376,911,907,782,234,520,139,
100,508,850,573,097,802,648,151,089,517,837,648,386,491,449,378,314,598,781,
132,735,945,293,819,319,765,418,879,532,093,925,535,261,599,680,152,119,099,
440,825,918,784,048,554,755,717,369,050,855,744,399,401,847,910,268,604,787,
915,634,588,203,581,588,140,179,454,010,855,752,706,465,584,978,660,888,113,
763,867,856,830,929,402,850,048,431,299,518,338,722,343,086,360,828,595,508,
167,212,168,560,839,383,559,749,039,157,365,528,249,356,925,017,423,236,379,
773,928,828,656,348,641,100,966,309,205,973,436,582,354,789,025,165,664,753,
830,792,990,504,972,838,762,019,394,409,300,307,841,369,854,289,802,476,045,
848,644,441,197,284,662,476,177,989,141,873,105,499,778,687,521,867,565,446,
895,774,260,084,689,588,060,499,079,229,979,725,336,978,079,218,698,938,275,
589,376,633,442,489,749,601,998,746,750,590,713,179,388,368,056,303,049,293,
051,421,344,111,731,914,495,480,830,487,825,172,197,804,607,012,718,375,174,
575,945,623,742,081,831,275,611,932,902,875,631,580,830,418,824,224,595,828,
791,408,706,696,524,481,428,481,948,943,058,593,484,292,874,912,687,628,056,
041,220,967,486,534,886,703,061,944,311,199,628,655,994,078,381,794,784,335,
025,484,043,128,271,614,774,494,811,731,222,593,519,176,261,607,068,370,290,
393,476,874,822,343,438,403,247,755,926,935,330,616,230,911,520,001,973,490,
207,200,189,788,893,768,071,227,451,908,595,841,828,434,867,169,683,300,628,
140,211,094,121,926,737,093,422,112,232,529,978,720,583,792,165,926,088,695,
217,490,870,706,192,912,328,439,629,412,230,814,947,501,377,546,995,419,202,
916,808,908,466,623,504,166,957,112,483,323,905,450,353,205,379,669,335,946,
592,147,600,188,566,246,607,593,110,897,541,414,840,604,673,465,243,947,618,
076,895,837,938,092,607,576,426,683,528,996,891,641,042,352,646,694,948,565,
794,734,384,285,417,061,039,777,090,405,699,124,785,055,578,375,247,877,845,
291,963,964,778,835,661,171,304,247,195,743,859,185,693,234,935,196,465,068,
705,345,528,391,196,064,334,360,055,573,420,369,044,452,751,126,766,548,672,
825,378,607,926,681,718,244,992,544,091,773,050,394,210,067,625,220,516,237,
015,589,254,651,113,729,653,705,149,348,676,695,015,066,836,617,464,296,968,
810,924,695,576,342,507,071,722,473,217,051,137,125,451,155,718,258,683,971,
195,976,198,487,130,285,750,115,883,129,569,748,669,210,576,532,628,589,892,
108,322,883,837,196,644,594,399,158,785,316,543,716,929,465,023,045,580,407,
334,326,967,377,179,745,057,142,285,704,413,456,771,007,740,688,053,162,431,
564,738,740,538,593,068,005,410,634,592,984,745,519,923,556,598,445,858,802,
293,154,331,964,314,251,688,264,980,522,836,775,897,048,076,220,827,461,927,
146,695,462,458,213,548,227,763,882,787,770,990,957,463,615,485,034,715,169,
600,571,171,106,209,427,559,241,460,845,855,605,692,691,223,297,852,508,436,
255,097,873,591,563,965,865,579,744,926,219,085,529,264,619,546,994,523,424,
846,098,666,600,572,897,913,609,243,380,094,065,942,110,321,369,910,759,264,
629,624,859,727,582,262,246,507,687,538,699,878,749,642,707,812,704,303,182,
837,486,235,167,608,036,957,446,408,053,098,869,860,238,891,719,234,932,260,
267,361,149,828,815,610,109,673,265,390,473,029,933,713,707,550,834,172,790,
016,214,267,846,600,183,791,759,544,005,583,348,396,972,523,173,599,315,319,
103,307,646,497,505,689,062,670,528,021,839,852,257,715,078,123,761,765,289,
925,013,133,266,303,181,223,573,020,839,439,807,779,619,911,412,620,863,179,
601,359,710,529,293,886,883,774,598,351,009,625,071,592,740,785,390,299,613,
543,870,951,062,593,267,047,516,265,248,494,096,388,726,815,921,553,895,289,
167,633,429,535,266,616,412,474,638,006,873,257,553,416,255,053,799,319,805,
491,660,680,219,739,598,693,602,005,966,196,106,955,101,091,307,727,065,086,
416,447,671,312,945,409,264,423,943,058,258,661,050,651,517,579,109,276,789,
833,950,928,210,238,597,025,785,146,278,760,216,372,040,308,071,940,968,177,
805,666,963,379,374,723,779,595,037,426,538,710,283,130,785,393,636,500,222,
001,009,407,295,442,135,373,896,001,101,771,264,915,719,009,639,646,042,137,
053,340,458,351,091,068,689,776,349,919,711,555,164,230,550,531,453,736,708,
487,024,045,863,894,974,595,855,166,432,307,417,868,563,678,393,825,823,137,
769,527,883,276,146,781,716,140,496,963,000,272,731,494,078,773,561,141,205,
442,672,534,339,100,414,097,188,348,257,577,044,721,494,687,367,523,111,202,
497,085,739,801,446,411,030,028,500,239,315,708,835,729,620,437,453,624,591,
580,572,209,169,769,653,975,196,554,270,273,238,760,288,355,259,982,745,882,
163,981,762,806,217,824,211,864,063,024,506,417,555,754,044,568,483,529,603,
369,091,513,741,835,079,229,357,864,437,079,515,838,407,806,595,637,926,109,
376,492,525,489,339,293,841,491,140,178,817,146,991,192,920,786,354,572,252,
332,002,870,227,521,401,820,981,034,890,287,513,211,015,446,964,662,980,700,
373,905,258,330,062,075,979,492,290,796,456,368,124,916,210,355,618,764,099,
904,226,811,252,143,680,333,853,068,312,905,481,718,195,600,913,021,282,588,
807,681,825,238,731,282,888,737,257,324,327,920,142,384,280,841,887,216,006,
830,899,258,389,816,421,712,681,795,961,916,324,529,945,933,571,377,201,130,
474,381,781,701,679,998,767,409,261,169,984,382,054,639,568,363,097,771,456,
226,625,215,872,881,568,181,920,509,743,398,053,804,473,240,746,377,672,127,
991,427,902,308,306,066,275,009,452,342,879,373,306,235,402,688,131,942,605,
534,201,804,138,153,107,464,598,605,560,783,445,368,397,724,507,514,848,125,
457,499,580,197,798,774,960,118,255,620,051,005,481,964,062,178,331,948,905,
671,074,129,503,663,107,517,598,474,729,781,419,525,567,699,076,721,148,949,
437,498,577,447,658,690,200,902,123,469,783,430,559,413,776,351,622,726,552,
001,725,593,622,551,147,032,609,103,039,221,549,935,009,379,922,101,076,810,
821,886,432,118,680,470,320,769,838,320,994,871,102,552,869,285,975,988,400,
193,004,417,626,012,013,548,701,957,955,235,187,181,914,151,978,470,668,294,
090,426,273,809,114,175,042,362,050,837,262,155,723,997,309,328,170,630,024,
687,632,377,081,270,193,480,120,900,794,318,081,393,981,358,504,098,006,326,
853,298,953,021,403,991,563,163,468,311,643,294,866,040,058,150,422,914,625,
941,035,859,471,524,361,842,197,214,420,035,040,712,921,286,583,405,468,853,
693,892,905,983,001,286,590,363,159,608,222,307,431,402,124,699,906,705,948,
043,110,088,834,602,127,190,765,130,669,055,701,844,220,796,765,527,706,946,
307,675,788,749,981,636,441,485,413,263,709,440,196,461,672,869,780,931,031,
096,872,318,493,292,462,832,560,298,749,480,876,702,334,550,158,052,576,987,
216,052,994,085,039,425,843,043,452,882,505,965,709,297,542,733,902,318,585,
718,904,613,753,808,218,789,843,031,438,678,023,689,150,434,559,530,654,660,
906,104,175,644,899,716,436,433,050,210,132,692,611,194,767,565,329,489,964,
943,990,080,392,800,476,993,561,746,738,263,098,409,059,307,502,389,792,019,
533,022,882,081,813,991,620,114,918,740,448,588,476,418,626,623,268,168,858,
156,718,760,134,982,144,603,585,121,682,126,452,619,658,153,943,150,475,426,
613,370,948,878,831,833,993,228,455,842,146,703,355,998,050,070,523,455,516,
157,473,483,514,013,393,454,307,166,720,020,530,385,290,772,494,425,486,534,
250,102,574,787,264,524,727,938,937,144,169,217,919,373,429,809,316,142,358,
068,635,329,469,474,952,570,261,857,290,227,372,912,326,898,190,434,344,083,
163,094,544,702,543,477,437,775,896,137,342,588,056,631,363,758,312,918,470,
643,342,441,946,647,526,946,085,783,747,195,377,424,980,050,710,693,282,689,
964,851,665,071,287,799,171,805,094,091,179,088,635,736,855,306,726,647,889,
597,932,514,641,946,548,802,771,060,184,852,882,634,339,682,980,609,813,988,
003,498,300,254,186,667,781,329,522,831,068,161,861,031,615,464,949,677,669,
056,193,621,406,224,425,248,795,242,038,858,950,155,817,136,355,005,804,121,
489,617,401,438,682,109,608,436,865,175,756,174,947,506,747,809,586,411,947,
898,319,397,347,483,714,544,089,420,289,864,986,116,098,557,909,823,083,219,
232,985,336,507,788,846,544,612,703,924,379,229,477,069,550,250,563,426,600,
009,448,008,659,365,319,538,070,555,699,955,811,414,929,932,556,325,601,721,
152,746,331,898,681,466,700,186,837,480,728,025,956,522,522,258,277,752,817,
102,325,791,944,003,762,178,080,274,759,381,756,102,056,363,079,187,427,748,
430,523,853,555,527,659,026,386,127,745,267,889,689,442,687,695,189,288,110,
223,962,628,231,819,842,133,662,039,675,633,557,131,963,025,570,367,678,508,
198,257,377,946,021,117,053,004,067,371,999,883,153,110,470,459,616,154,468,
353,795,345,788,878,889,222,214,012,030,362,820,383,267,284,421,937,839,519,
848,476,003,004,337,372,622,326,719,937,562,751,750,610,644,191,307,003,659,
715,445,525,792,444,305,522,819,482,465,637,509,996,868,964,063,880,001,396,
361,848,159,118,475,238,466,255,773,299,161,815,108,032,499,765,328,166,319,
674,842,001,472,489,135,927,489,355,035,446,331,016,961,917,884,589,559,488,
628,145,668,104,222,765,598,781,372,464,629,133,504,901,646,796,078,907,667,
730,577,387,341,955,396,126,620,042,489,078,059,839,436,839,836,376,216,123,
223,158,589,164,940,696,431,552,079,533,132,561,804,166,924,106,200,928,708,
592,447,080,484,030,001,171,599,483,339,359,553,343,922,739,032,020,507,130,
873,667,969,219,847,737,970,612,318,987,149,159,286,799,897,832,427,683,386,
423,440,190,088,323,543,027,536,901,724,800,595,689,155,809,328,049,220,585,
308,421,066,144,183,970,064,568,327,791,783,129,167,124,082,318,799,680,391,
835,199,174,551,374,657,025,717,457,189,552,476,573,257,026,926,320,064,787,
667,798,579,504,958,541,828,126,099,440,279,393,732,795,922,060,030,117,232,
963,210,735,968,575,899,456,607,786,750,924,239,103,098,583,524,949,389,243,
641,259,808,654,929,982,429,496,910,420,965,133,721,812,435,154,699,536,502,
769,757,628,057,585,112,830,005,038,346,444,157,062,521,565,026,117,037,649,
390,804,893,337,389,572,117,838,412,672,224,075,295,642,420,292,603,043,810,
771,357,063,857,492,069,018,374,248,193,535,510,001,644,126,509,963,024,968,
378,452,081,580,466,396,115,845,290,008,533,807,939,850,405,317,203,082,113,
526,574,938,108,755,593,556,620,786,363,896,713,911,100,491,622,522,632,410,
709,863,678,127,779,476,293,392,518,207,562,275,896,293,521,530,977,773,157,
575,756,511,385,561,396,827,195,050,055,842,049,801,040,432,533,628,464,801,
683,560,858,048,602,049,019,318,015,561,927,309,926,230,396,414,697,295,667,
542,706,562,412,454,679,100,805,494,400,974,196,682,410,898,559,683,547,192,
906,612,506,388,477,960,843,801,165,346,087,791,390,341,358,885,274,270,183,
242,314,930,243,612,652,531,206,448,229,298,609,134,658,911,146,671,578,110,
595,206,513,477,917,994,872,206,887,662,159,202,117,627,359,690,829,375,289,
659,908,403,971,406,575,679,575,736,610,807,076,153,705,038,190,309,755,042,
247,853,533,223,049,141,506,964,380,261,004,484,822,365,078,391,447,707,650,
289,951,735,890,429,214,520,410,393,690,327,983,318,330,731,463,950,077,908,
204,561,352,378,419,205,732,618,293,754,722,147,239,006,683,782,782,866,374,
163,419,088,154,778,112,686,918,818,750,290,266,967,646,452,625,586,985,372,
527,749,971,666,956,993,720,398,788,585,930,775,947,556,200,508,556,653,832,
078,223,075,854,297,704,470,075,202,624,254,207,240,251,802,900,161,763,415,
491,419,604,409,204,337,095,075,911,252,757,798,719,815,580,098,178,474,372,
927,118,629,379,988,624,228,384,301,726,635,635,507,833,499,264,005,201,338,
993,705,803,714,174,992,759,798,888,960,165,277,794,828,892,384,132,140,220,
191,926,530,339,843,751,908,328,152,221,428,728,363,025,964,402,758,930,906,
368,501,251,366,370,019,285,014,050,856,342,767,303,429,208,134,166,229,856,
083,280,441,508,932,884,377,051,802,517,943,487,942,318,976,856,657,509,325,
105,951,082,872,915,826,039,929,645,192,224,514,474,308,819,556,959,128,941,
544,387,435,830,776,706,441,721,167,632,569,183,892,529,078,241,027,808,813,
944,337,637,834,778,873,218,260,993,124,942,085,251,968,759,342,211,705,889,
631,243,143,140,766,871,057,759,811,859,682,476,854,405,421,889,620,518,403,
596,624,977,418,703,470,530,393,871,542,535,838,173,739,008,286,787,053,841,
835,483,671,801,779,788,478,122,369,709,626,209,408,348,334,724,198,963,747,
841,266,320,096,194,787,694,541,288,020,765,881,061,739,804,123,238,370,575,
874,134,213,749,834,807,279,971,766,417,309,587,316,680,267,734,501,333,295,
535,506,849,273,156,838,943,345,007,911,364,504,552,812,094,875,734,548,417,
301,525,515,156,344,229,469,648,852,530,878,418,844,590,750,656,747,909,752,
738,540,640,646,377,951,493,738,347,698,982,340,967,571,447,885,779,246,635,
793,635,487,868,495,727,929,974,099,168,045,846,238,306,916,813,927,913,808,
786,026,456,055,123,205,396,709,297,386,042,112,920,226,466,449,769,168,929,
696,876,210,180,210,228,812,395,121,009,456,085,412,358,633,741,702,688,540,
573,223,088,133,699,703,186,214,615,849,688,677,217,101,270,982,276,278,180,
065,226,035,175,419,047,706,798,174,153,392,619,438,500,119,098,619,406,208,
942,950,994,837,041,310,445,425,407,344,112,164,798,672,431,427,686,855,568,
291,786,584,105,242,074,247,313,337,702,918,804,648,650,237,989,517,661,347,
310,192,419,051,438,777,439,000,127,054,487,318,883,978,123,713,333,991,497,
249,461,561,130,799,365,655,782,590,843,002,292,295,797,815,795,641,139,935,
788,919,740,767,023,803,394,052,596,478,535,398,151,267,740,155,973,626,126,
181,474,820,634,193,001,344,955,304,466,131,560,905,049,986,224,406,585,369,
842,528,218,246,249,186,604,795,788,834,415,707,885,637,049,592,051,499,519,
556,115,263,167,911,480,120,389,368,209,290,320,105,210,375,164,465,666,090,
950,792,457,165,364,537,504,820,616,991,260,921,684,852,481,511,612,402,390,
608,627,778,229,064,384,884,758,748,555,795,319,063,881,324,274,298,695,409,
386,978,427,011,340,227,708,355,446,972,780,400,098,138,873,641,459,629,365,
352,157,581,322,792,253,027,432,170,240,419,051,055,916,291,773,434,834,716,
228,835,595,144,523,215,697,338,660,547,288,812,567,257,375,080,503,718,791,
069,307,242,703,448,526,116,901,981,029,140,072,692,630,693,073,738,175,974,
451,209,430,480,802,691,617,026,500,513,839,038,716,461,040,469,039,559,675,
870,620,115,561,380,909,603,452,136,157,585,737,234,444,164,694,540,927,215,
620,709,537,627,931,328,545,532,124,222,448,454,756,011,186,318,459,430,736,
076,580,391,204,653,799,889,399,873,214,354,383,461,886,279,976,034,048,167,
315,445,053,275,973,504,123,904,914,709,928,015,314,091,783,454,315,842,306,
174,896,044,196,829,031,482,650,258,515,936,892,858,185,513,736,831,325,474,
849,557,594,905,844,514,419,522,784,851,202,777,609,254,357,417,243,328,082,
363,036,381,076,283,709,205,948,468,383,891,719,227,473,797,987,958,616,719,
114,936,517,342,346,016,707,862,318,597,629,462,796,125,409,742,353,269,803,
811,514,395,338,083,613,406,850,664,040,891,995,479,166,050,129,737,950,684,
698,935,528,351,316,091,161,189,651,061,291,895,810,810,811,353,065,758,082,
121,367,399,024,373,233,486,594,534,882,108,448,923,655,312,904,071,047,884,
116,867,709,384,147,039,028,077,471,339,456,562,903,374,463,394,690,489,680,
275,854,849,194,477,986,814,339,895,803,191,009,763,026,403,997,189,685,238,
341,948,001,368,761,247,826,273,019,361,197,468,385,361,910,882,697,323,636,
746,142,388,908,532,910,174,590,320,012,957,037,576,683,862,757,434,399,486,
431,433,162,035,775,986,641,282,882,051,685,636,214,541,456,054,184,185,959,
029,975,827,123,544,647,585,261,430,055,082,734,192,777,560,293,237,255,152,
849,374,545,852,290,005,734,025,159,031,126,289,709,516,030,573,614,977,926,
404,072,793,886,377,553,512,541,804,310,841,956,381,625,719,965,953,273,490,
209,315,457,490,752,793,725,466,924,377,326,188,615,663,368,638,146,430,445,
122,679,000,883,880,976,583,836,554,152,730,371,032,720,653,816,799,553,246,
643,407,400,559,310,648,659,346,805,531,061,211,987,963,496,308,486,857,742,
893,229,612,485,329,800,197,187,657,264,587,641,785,738,553,833,974,627,977,
095,656,845,238,457,606,383,480,357,360,342,298,777,646,499,316,235,471,731,
212,475,912,614,964,151,706,846,516,524,008,739,010,915,040,391,201,875,014,
768,761,764,019,570,809,736,082,406,222,702,522,746,318,862,501,142,387,048,
696,700,483,359,745,082,604,373,010,238,269,400,416,783,995,750,188,056,182,
912,042,696,227,968,648,705,988,811,677,412,795,517,832,207,770,895,329,642,
186,348,164,295,124,388,456,828,776,846,189,861,538,597,285,176,104,838,834,
397,545,372,823,676,332,377,091,731,860,682,711,324,866,763,881,026,966,905,
576,546,598,173,866,153,790,855,696,428,814,928,425,565,171,563,981,161,675,
841,497,047,500,395,036,398,965,117,891,060,176,803,463,158,301,640,117,905,
759,287,332,500,405,222,809,400,946,208,746,202,995,274,622,364,330,048,323,
578,601,920,243,267,840,716,964,899,862,308,375,868,851,102,939,962,300,610,
974,178,194,812,630,433,821,309,317,370,342,273,060,799,663,532,926,065,837,
129,331,022,538,952,840,772,700,941,184,012,547,626,503,718,193,606,470,485,
863,264,708,865,253,518,486,955,546,514,362,241,873,253,115,000,134,868,113,
833,578,297,534,556,593,114,255,818,243,652,167,013,080,351,373,597,048,809,
798,282,025,750,090,383,212,640,744,181,986,939,312,650,438,790,178,466,211,
522,535,622,284,799,886,287,446,000,868,278,368,763,830,831,019,166,952,868,
852,348,614,554,633,502,020,063,256,145,160,369,607,000,728,934,420,105,083,
754,436,395,152,491,526,289,981,037,604,944,197,486,123,031,877,342,237,260,
320,064,487,183,545,045,525,036,983,036,041,034,639,046,798,334,472,674,036,
025,609,312,792,752,277,847,779,787,341,712,043,458,066,582,410,383,203,082,
280,791,226,501,527,140,841,061,500,690,146,980,007,210,630,997,430,240,446,
072,785,281,107,052,681,554,925,566,713,519,624,831,895,037,088,736,309,402,
939,317,513,763,867,140,585,362,791,464,737,749,443,818,621,737,283,434,688,
527,380,914,019,276,213,697,256,487,635,996,730,053,357,718,055,591,741,257,
955,925,232,196,701,816,950,123,097,303,211,947,252,223,788,884,711,168,818,
820,045,758,286,079,410,119,579,953,042,040,660,343,306,550,601,653,762,439,
237,516,378,851,547,860,914,052,275,644,248,040,481,011,480,926,686,071,604,
281,832,013,051,435,720,484,989,611,122,554,253,598,960,147,810,481,091,540,
754,665,948,615,906,620,231,133,429,138,985,367,495,039,112,368,273,612,726,
239,343,560,255,460,866,037,026,876,457,935,524,630,976,658,005,195,822,199,
159,886,635,976,321,673,158,893,134,087,524,009,778,798,710,191,043,245,952,
929,424,516,567,048,174,886,831,528,711,364,662,842,103,857,301,876,855,606,
904,345,998,987,861,852,319,717,976,801,370,365,704,301,185,203,588,949,939,
955,968,824,161,985,567,960,071,161,345,096,943,844,572,082,289,908,268,692,
514,917,581,257,853,623,983,389,050,423,595,031,650,819,892,436,732,639,071,
818,002,293,323,537,475,771,875,688,431,785,474,430,423,955,146,060,645,495,
953,306,734,320,446,298,810,992,478,159,277,402,278,586,377,632,334,351,060,
378,212,748,690,329,641,537,713,849,024,104,721,282,780,360,573,054,027,420,
510,244,157,031,570,736,819,077,776,083,786,340,770,658,133,162,387,348,390,
145,908,977,913,051,149,785,859,970,426,091,695,594,122,082,816,945,831,077,
096,516,177,715,467,808,631,726,663,925,201,243,232,812,306,774,311,498,394,
387,143,028,071,261,441,544,966,380,686,198,132,505,733,251,108,242,261,111,
903,381,157,434,588,750,819,447,122,845,616,602,453,998,668,080,069,947,576,
724,773,209,122,819,687,574,101,008,471,736,439,772,138,753,556,776,638,680,
902,721,249,481,471,044,562,043,148,907,299,052,667,767,500,625,054,090,364,
532,846,181,739,254,381,504,392,498,882,186,990,711,644,939,338,837,210,470,
750,071,798,507,934,317,399,958,591,398,573,662,384,864,788,451,186,385,798,
202,253,481,527,858,666,835,635,677,370,251,618,160,807,453,907,944,618,601,
680,959,202,630,900,174,607,864,060,334,983,381,571,723,431,364,168,436,860,
828,430,629,607,519,151,561,199,640,511,740,626,724,500,692,655,505,796,350,
239,927,197,218,073,645,513,960,122,632,943,181,709,066,240,081,512,062,962,
961,687,613,060,407,700,161,213,835,327,774,637,397,180,889,316,238,487,728,
945,435,562,513,428,633,096,390,474,918,832,443,379,183,081,946,655,841,158,
984,572,427,797,487,036,644,003,379,373,334,127,481,345,921,807,880,959,664,
179,231,564,691,792,635,727,617,284,704,103,808,196,829,824,225,904,539,829,
440,294,153,570,997,396,799,654,554,059,974,236,759,616,992,072,312,875,724,
883,950,755,806,817,792,890,107,842,514,217,919,662,445,270,938,055,794,195,
543,787,975,388,094,952,241,678,396,005,293,447,364,716,454,884,585,251,395,
200,371,743,513,060,657,134,523,680,350,009,206,401,242,524,944,758,566,849,
645,592,462,731,601,878,354,553,224,368,350,448,796,933,278,281,264,913,886,
066,079,653,589,794,835,241,331,558,830,182,695,168,782,714,259,210,746,925,
599,453,510,065,971,473,196,885,881,692,178,604,089,130,032,100,643,208,029,
880,880,424,184,311,608,240,451,081,310,176,374,272,108,716,679,287,500,218,
643,621,494,775,863,888,780,382,294,225,048,112,064,742,451,065,725,503,163,
819,289,929,326,427,838,324,870,818,558,682,415,041,287,331,436,384,410,146,
190,574,137,526,069,781,500,840,113,535,256,619,342,681,501,709,460,756,927,
308,763,114,396,869,087,072,643,287,155,390,948,140,986,037,448,514,930,807,
374,274,587,868,713,775,674,387,447,973,933,495,239,477,177,860,904,862,529,
657,195,910,681,438,371,489,005,596,155,565,381,172,713,721,162,648,419,268,
912,580,871,806,767,650,990,932,611,665,968,820,721,609,529,902,678,331,885,
397,737,428,340,687,692,225,677,346,195,117,904,711,626,226,783,068,703,497,
084,931,000,189,370,729,613,068,940,911,075,827,739,535,836,676,218,404,253,
720,786,721,802,373,215,263,711,863,032,744,882,711,393,863,503,247,368,974,
437,925,333,840,668,028,702,655,168,997,985,325,185,966,608,307,092,749,439,
716,055,257,500,542,585,274,714,030,978,510,194,999,105,693,377,242,778,878,
720,698,453,575,840,800,722,202,086,568,515,483,224,687,033,732,735,292,425,
707,417,653,278,748,449,565,226,590,393,280,428,206,326,100,198,852,807,913,
143,993,642,392,642,013,700,789,877,965,241,147,629,753,412,369,180,344,634,
135,324,593,333,500,677,575,747,400,091,297,760,898,947,189,090,699,237,211,
253,162,347,527,077,828,096,876,640,973,579,575,755,645,322,261,627,442,061,
601,628,124,203,161,868,600,293,101,426,617,756,210,463,488,002,220,547,816,
338,462,919,085,764,983,333,281,632,105,978,640,924,444,736,312,295,463,100,
809,282,803,635,611,801,040,620,866,119,985,432,242,311,324,221,964,872,528,
338,304,066,274,705,853,072,400,652,534,809,734,925,139,419,680,997,961,663,
792,868,738,929,092,120,044,457,844,898,244,673,432,805,703,448,881,700,977,
316,487,040,912,675,453,427,304,198,547,740,699,174,297,206,216,465,273,723,
891,882,671,419,944,674,976,640,430,895,592,919,398,395,378,726,319,422,393,
612,893,373,914,810,520,668,661,869,799,208,184,057,698,877,524,225,012,124,
331,406,607,614,735,846,190,600,014,472,907,756,920,230,732,535,949,189,056,
905,749,052,236,716,542,025,298,771,604,293,592,354,811,557,170,296,646,155,
697,927,195,435,097,503,403,908,157,740,635,831,446,331,563,506,917,999,923,
681,950,322,112,330,020,761,324,324,576,236,455,047,278,998,964,072,984,994,
749,550,677,247,937,230,836,902,195,122,455,320,095,646,433,102,438,103,251,
891,580,921,034,618,870,549,845,996,885,083,252,388,124,258,570,746,679,882,
028,871,224,265,409,222,371,757,954,838,484,220,844,920,457,861,704,758,090,
719,318,139,571,110,379,477,409,033,521,667,285,966,009,083,923,807,415,017,
930,645,588,171,066,942,738,989,613,686,938,486,752,932,979,344,899,069,331,
693,563,887,574,859,676,106,941,661,116,786,695,040,216,101,883,964,665,196,
117,794,187,578,237,799,752,230,611,190,359,759,864,690,626,663,646,125,857,
196,133,936,074,910,199,625,867,283,866,000,818,637,148,705,778,549,918,037,
936,622,789,085,283,106,715,897,599,875,393,933,799,499,829,784,579,897,983,
308,238,488,258,216,622,797,098,661,231,037,914,018,945,100,092,179,566,289,
642,839,728,638,149,329,713,235,284,600,094,824,606,809,835,359,723,675,396,
233,790,961,928,544,636,705,492,906,432,258,419,977,978,812,307,559,086,497,
838,169,408,979,340,196,929,232,747,099,226,922,917,743,068,626,865,044,893,
874,006,022,792,596,912,900,169,593,848,101,323,997,809,475,998,410,237,863,
568,221,881,409,054,992,221,883,292,388,160,045,457,097,917,431,617,477,879,
608,086,635,247,094,880,285,926,255,118,161,322,029,501,893,661,480,794,442,
754,043,019,941,900,837,623,863,055,141,186,570,821,233,713,649,349,237,428,
560,459,946,579,496,637,086,747,971,700,145,936,216,133,397,086,849,228,625,
675,771,551,362,690,255,263,329,308,428,944,006,601,559,921,921,779,934,488,
829,615,303,202,346,422,610,990,941,697,480,836,984,758,365,088,713,188,716,
091,410,518,696,726,758,630,823,824,492,121,263,916,834,810,031,837,120,997,
580,140,759,980,091,147,334,781,397,580,589,234,657,477,471,416,827,572,376,
335,842,968,639,155,231,717,066,781,695,016,249,729,440,881,362,851,176,254,
239,604,797,575,645,317,462,654,829,006,727,113,618,046,886,445,766,285,612,
260,452,837,062,608,088,558,301,523,186,185,185,050,610,645,445,024,079,235,
324,744,290,517,752,587,852,776,813,967,864,717,517,999,745,441,687,909,574,
757,297,846,751,604,461,912,856,351,391,064,286,082,308,319,715,962,864,224,
749,399,440,626,168,687,333,899,028,058,667,235,853,664,104,894,507,323,542,
942,896,998,360,875,267,231,135,180,524,899,138,203,743,895,624,030,461,858,
067,465,136,244,728,853,254,937,236,538,543,370,226,306,165,260,587,445,364,
731,307,490,360,301,376,213,680,525,620,262,828,741,460,770,289,546,870,199,
681,188,950,237,623,085,487,973,377,684,348,551,445,138,064,062,827,545,709,
335,236,516,268,559,155,046,418,597,642,163,933,527,413,775,238,682,065,999,
524,012,088,701,215,917,414,208,513,472,927,244,421,996,497,270,970,230,111,
678,091,565,827,964,707,702,341,773,130,177,169,264,628,509,387,582,341,052,
355,558,067,571,689,721,801,791,798,141,505,248,044,088,182,503,436,115,416,
927,524,696,769,565,564,765,998,432,359,272,798,697,674,621,731,153,545,221,
947,486,307,641,559,650,126,362,689,438,094,990,970,117,859,244,318,070,521,
058,068,365,139,692,174,528,376,150,182,333,449,341,666,057,150,683,447,834,
941,758,379,442,007,109,776,359,231,402,425,151,924,953,172,828,316,949,519,
532,325,351,747,579,980,638,160,933,980,313,470,619,310,080,661,520,936,393,
281,442,380,776,769,104,149,471,244,484,881,051,459,122,843,373,267,139,366,
034,664,132,377,103,838,459,456,634,789,080,907,283,744,848,548,498,180,454,
523,694,419,576,516,973,255,121,839,266,931,647,577,694,906,428,423,958,324,
146,188,953,805,716,590,517,780,755,825,119,456,300,967,920,088,748,360,797,
535,180,372,477,660,787,450,321,171,325,465,365,926,077,382,036,030,734,593,
145,475,842,481,997,459,103,161,933,407,336,746,697,374,683,266,081,230,795,
276,843,531,754,135,611,755,439,729,247,350,715,162,012,908,351,952,477,454,
947,992,830,583,618,964,612,292,939,444,105,506,056,101,571,299,780,777,973,
426,422,411,400,118,036,677,012,397,953,656,793,640,357,200,743,088,784,943,
480,194,146,155,823,052,147,384,817,372,034,454,731,381,674,819,996,232,061,
844,958,458,970,735,338,389,839,917,605,654,655,102,479,334,958,600,772,389,
625,636,792,655,696,580,217,690,573,309,324,244,447,875,195,956,651,248,627,
240,296,907,904,068,775,613,466,550,650,718,147,092,934,081,005,541,705,722,
847,326,535,128,422,663,895,381,259,642,056,196,793,526,521,344,355,082,116,
836,505,700,656,430,269,909,128,523,033,574,954,281,590,539,284,431,916,005,
994,678,682,360,652,991,676,097,840,190,443,237,442,701,496,262,961,745,652,
295,799,415,983,234,168,872,443,867,637,296,209,067,073,638,614,122,619,011,
855,465,526,617,864,596,248,872,548,786,506,706,892,322,506,719,396,913,071,
888,775,097,355,184,444,829,178,759,497,286,614,681,875,426,790,758,309,569,
922,845,385,732,000,680,400,138,423,512,561,175,977,437,551,350,394,298,167,
263,612,090,918,927,018,649,705,022,650,935,262,933,173,421,819,416,487,909,
308,011,308,166,405,056,339,855,799,212,612,125,992,698,670,687,116,943,385,
509,522,488,619,214,158,432,118,954,172,265,503,545,692,163,081,154,873,116,
472,262,511,316,686,180,800,739,315,283,747,982,300,605,202,386,108,410,493,
706,960,794,364,217,546,758,375,199,326,304,709,518,089,498,012,006,445,896,
285,287,630,516,223,386,898,388,398,987,258,554,710,447,602,626,595,266,316,
250,574,388,393,878,877,288,895,910,201,104,501,720,762,959,894,425,120,560,
120,939,688,860,565,560,142,148,085,622,947,960,852,454,262,688,327,824,960,
293,536,723,449,437,229,832,010,878,387,533,479,348,740,646,807,790,768,287,
184,174,585,332,536,671,222,598,371,148,842,049,508,165,597,615,587,828,334,
131,286,582,687,930,282,270,219,271,344,763,041,610,321,850,973,535,284,822,
489,304,148,967,894,472,144,439,207,163,519,726,396,663,272,886,184,589,061,
565,011,428,959,132,301,910,897,763,948,060,908,435,175,645,857,863,929,061,
752,319,281,117,522,314,869,262,834,324,049,127,458,574,180,234,085,310,154,
294,808,617,510,883,477,306,192,664,229,127,414,435,376,439,473,340,894,022,
527,271,063,016,877,270,557,201,073,198,004,005,268,466,758,808,358,856,683,
102,052,982,333,750,114,810,223,235,990,591,341,150,351,165,692,380,125,122,
867,481,065,573,825,225,940,827,924,587,977,655,959,907,529,452,573,294,803,
705,289,018,920,565,213,558,674,754,319,020,346,603,029,172,851,301,963,533,
644,872,296,763,544,521,447,620,915,026,187,069,637,800,122,032,938,752,178,
991,179,680,306,541,603,234,479,134,870,957,341,328,137,704,257,913,621,293,
720,279,231,662,016,197,635,079,767,806,836,686,997,114,377,811,263,805,378,
377,560,664,054,255,631,474,820,374,502,552,846,819,826,927,092,178,893,499,
793,631,189,044,602,921,727,547,348,701,267,131,809,150,084,316,270,957,541,
135,050,129,871,229,377,054,498,149,941,705,988,811,832,923,745,363,575,711,
957,471,286,315,531,800,798,519,103,429,096,262,432,066,684,341,194,355,170,
437,528,994,147,844,541,006,650,126,853,413,834,233,120,339,805,662,356,920,
087,878,505,064,925,205,278,431,173,461,113,179,290,428,473,690,459,231,098,
104,355,754,506,151,163,653,058,499,065,312,606,598,614,485,577,949,277,408,
678,942,017,586,399,069,083,838,474,487,599,351,260,695,299,701,850,258,574,
524,964,968,262,909,080,145,371,128,026,308,537,678,833,297,749,740,114,869,
989,653,177,713,076,255,087,148,272,645,475,969,839,131,899,283,525,339,571,
386,386,763,011,143,870,898,600,394,814,546,048,595,967,639,842,469,918,962,
021,358,419,910,324,398,922,082,731,721,498,699,778,473,700,385,171,948,435,
613,779,007,298,461,844,868,974,732,941,561,886,775,917,234,327,554,160,796,
946,015,042,620,620,744,525,315,703,100,121,691,147,454,591,013,848,078,079,
575,041,445,559,487,425,498,517,077,026,908,786,114,878,660,000,287,254,626,
748,371,945,149,905,865,559,977,164,744,565,503,945,630,643,233,636,263,883,
154,266,832,142,053,013,594,738,525,227,758,128,495,582,406,582,808,908,069,
388,866,363,590,334,555,689,985,998,033,009,521,309,817,739,097,089,924,739,
292,161,720,302,892,453,707,607,269,394,174,591,964,155,301,227,350,837,986,
005,499,842,632,768,014,109,009,969,509,181,032,907,055,062,043,333,129,833,
533,667,484,817,423,734,767,718,709,077,077,396,338,854,630,406,812,131,301,
162,103,732,251,987,576,380,218,510,651,599,700,016,216,495,003,796,617,958,
591,774,149,128,582,294,011,678,779,048,240,725,347,513,584,668,081,456,507,
277,499,209,598,109,035,599,744,052,206,041,519,187,772,795,186,087,781,684,
838,255,007,855,882,979,590,294,131,333,811,502,132,258,383,153,519,344,254,
777,122,815,872,079,808,486,940,588,187,990,947,540,011,083,941,118,355,728,
403,534,509,577,316,748,212,733,969,183,358,870,037,346,642,000,542,102,730,
093,302,262,606,425,485,649,262,991,973,238,903,463,908,185,396,297,432,239,
261,512,556,524,452,973,282,513,368,920,625,435,270,748,108,334,344,576,527,
515,159,971,676,372,571,727,230,381,416,011,108,258,026,707,889,195,179,336,
601,210,989,355,054,082,207,142,531,893,111,469,654,325,734,550,888,209,668,
344,555,863,129,326,066,395,907,252,284,303,809,430,202,950,028,008,208,907,
871,385,671,535,627,890,421,743,202,807,505,811,052,856,700,966,194,628,390,
492,716,589,218,234,496,106,519,055,353,306,938,851,421,611,592,782,157,296,
966,805,792,369,692,070,206,425,036,819,903,869,247,648,362,670,901,654,785,
815,511,345,438,100,537,981,714,359,956,809,302,778,895,386,986,235,646,717,
174,195,253,043,037,615,777,199,757,371,879,322,172,017,856,630,955,516,319,
497,759,276,112,978,779,707,048,002,971,651,416,795,309,640,085,470,067,108,
034,023,621,004,112,593,897,196,244,058,800,661,768,848,363,399,971,800,288,
000,014,327,217,546,472,251,517,471,952,198,346,370,901,518,672,815,246,487,
872,696,874,169,354,193,291,518,231,386,357,750,228,348,497,897,138,358,379,
142,329,958,107,707,923,553,222,175,208,696,731,373,790,670,825,127,671,391,
241,540,403,228,354,698,440,973,030,256,265,281,057,660,064,476,174,850,797,
373,995,770,288,154,113,161,874,544,913,156,863,445,671,567,400,244,206,195,
921,913,107,210,014,237,991,189,832,059,646,490,466,142,728,059,806,015,181,
820,760,280,803,795,385,533,225,606,255,723,925,036,475,092,014,313,482,664,
345,050,126,985,774,483,737,298,511,220,181,412,869,930,379,157,258,333,451,
854,488,198,118,061,598,686,159,779,455,175,702,633,482,175,525,275,088,199,
856,449,672,503,980,946,735,106,515,473,968,975,539,994,029,580,443,956,824,
514,612,559,544,134,282,633,632,239,568,479,594,053,737,047,012,521,749,020,
878,779,556,198,851,631,553,618,456,984,250,215,186,914,356,908,165,328,166,
679,305,483,075,419,026,835,838,845,599,482,114,349,015,102,774,697,179,782,
681,508,499,635,274,646,116,884,934,244,339,748,069,883,642,312,478,885,340,
458,019,969,232,746,204,170,740,654,926,934,409,747,278,438,907,535,424,356,
405,314,251,129,294,979,781,692,370,470,465,390,150,603,884,501,490,308,086,
276,411,716,133,755,189,602,517,929,993,547,978,635,503,645,755,387,177,400,
378,012,682,648,464,049,944,653,551,308,603,141,006,737,842,036,375,734,908,
294,864,163,991,213,171,885,810,309,420,822,613,736,035,808,919,703,997,565,
829,213,898,762,376,137,407,341,872,737,978,273,095,579,289,209,333,969,475,
708,671,980,255,259,859,592,097,866,417,944,684,481,710,617,374,228,201,885,
693,540,872,979,492,053,607,576,310,229,541,110,370,872,859,772,147,618,151,
773,312,670,380,293,374,217,935,415,097,416,331,705,003,668,122,533,500,199,
678,417,848,407,154,410,566,285,791,791,451,922,844,992,806,305,014,698,255,
291,510,585,608,774,925,630,434,443,937,098,177,841,287,728,014,031,718,286,
358,577,195,064,143,911,609,240,032,728,418,982,648,477,261,898,405,305,834,
712,533,442,375,557,110,020,412,170,877,869,356,905,029,428,174,510,143,345,
906,256,802,095,265,349,806,603,378,556,063,190,084,784,834,064,453,181,124,
466,757,196,081,369,691,370,658,740,384,092,084,211,853,302,656,815,231,721,
740,960,253,201,313,705,207,207,673,156,636,886,200,219,571,622,883,836,613,
845,944,572,193,357,632,244,171,424,427,027,967,502,661,549,390,894,757,694,
876,770,316,671,022,901,493,097,967,718,713,600,022,704,770,493,343,435,450,
385,297,328,086,117,888,526,254,105,792,035,139,696,403,548,528,408,953,612,
084,541,686,767,334,454,080,417,380,083,522,862,333,602,838,005,740,771,298,
060,446,276,152,438,549,388,936,990,394,217,843,802,889,695,187,475,281,592,
877,119,751,119,513,230,545,947,458,826,313,334,389,490,146,081,114,195,747,
796,176,435,981,669,669,005,957,662,055,585,128,091,748,393,050,205,063,099,
472,041,232,927,864,906,236,942,350,623,566,593,178,568,821,978,123,075,506,
038,302,976,441,624,051,787,498,786,283,529,991,978,026,248,532,026,292,059,
122,873,081,512,404,184,006,937,757,825,130,759,609,666,783,514,305,294,531,
955,315,341,831,784,139,522,882,156,755,383,478,796,957,273,178,563,083,607,
224,580,811,761,953,336,340,162,218,850,094,061,248,687,236,545,939,453,973,
760,240,982,518,334,946,681,880,143,995,157,095,562,477,210,178,892,441,719,
472,869,270,298,782,973,590,233,762,225,606,004,881,791,588,842,574,893,559,
240,977,381,015,392,320,718,213,369,945,728,246,483,276,916,390,320,877,662,
818,152,963,055,371,351,630,197,171,311,496,866,313,037,351,555,938,999,468,
933,659,292,665,959,112,968,220,189,294,977,295,267,476,679,950,282,296,924,
649,299,454,126,517,356,616,761,031,039,460,614,822,650,468,162,809,820,378,
298,450,143,103,088,850,391,246,163,094,826,717,461,473,153,040,628,143,667,
613,765,247,605,856,769,138,996,828,910,465,034,482,236,558,104,307,894,728,
377,022,600,742,567,116,495,992,738,368,885,507,882,316,420,575,820,709,530,
267,909,312,223,915,028,818,772,929,432,578,407,602,011,865,436,867,763,738,
643,000,159,282,977,348,001,056,513,429,705,541,382,956,573,177,761,019,569,
911,987,694,969,364,851,696,511,694,296,589,136,209,020,453,067,329,922,046,
098,039,199,438,529,631,944,329,868,803,964,953,587,356,849,946,760,129,275,
233,681,048,372,861,539,312,775,273,277,470,809,571,679,250,885,162,144,345,
859,889,318,406,003,234,707,241,023,589,790,885,558,689,491,549,296,407,955,
397,301,850,309,459,154,198,365,363,071,144,781,598,269,662,279,791,294,645,
852,693,106,467,446,405,964,053,758,165,844,799,898,710,803,093,878,958,403,
936,954,482,164,644,180,342,095,744,224,713,923,138,139,962,231,293,500,907,
241,012,691,039,982,352,691,340,225,155,411,068,555,952,491,731,430,342,213,
992,965,119,568,573,245,475,321,571,654,927,283,983,949,030,993,219,968,038,
959,861,442,698,328,789,813,001,304,878,190,486,269,358,555,311,068,434,226,
159,779,274,587,708,771,712,801,509,527,480,038,668,092,076,360,894,907,211,
324,128,951,882,686,760,067,770,488,211,568,512,696,828,767,594,821,981,108,
313,551,347,239,100,888,842,024,306,234,306,557,826,951,543,557,748,751,194,
282,991,584,840,401,445,861,739,180,198,465,457,513,428,819,069,110,122,846,
077,959,256,959,857,101,198,863,335,594,374,251,299,922,415,534,169,457,383,
729,452,124,511,832,165,692,329,481,480,600,184,564,988,179,617,754,165,931,
957,161,051,482,970,264,760,767,689,848,188,634,001,317,787,652,297,972,137,
309,174,412,330,439,164,504,286,352,148,997,377,230,466,827,557,201,209,160,
452,675,245,300,844,834,224,603,427,057,073,130,086,999,523,896,440,818,833,
640,060,740,456,904,579,923,870,781,914,086,251,974,131,730,830,244,167,405,
697,425,381,652,817,844,364,599,358,096,862,596,452,043,564,838,382,015,236,
424,343,415,901,373,947,588,684,408,075,311,613,012,814,988,264,653,066,989,
206,288,287,145,532,552,948,477,093,317,796,591,516,317,493,227,959,954,154,
256,032,094,956,222,850,618,549,156,671,026,475,853,482,040,070,083,783,733,
630,240,876,184,012,317,972,176,071,898,610,560,374,413,715,578,928,446,207,
341,960,138,836,939,933,337,284,350,595,124,663,321,759,811,281,173,303,367,
140,731,066,953,656,392,272,386,305,495,053,759,045,288,082,322,075,657,165,
337,283,639,464,255,031,389,240,130,960,242,904,499,024,762,315,809,026,278,
399,420,120,614,800,603,277,024,360,836,081,235,566,665,520,363,366,728,794,
658,134,848,797,661,701,611,876,075,887,111,870,139,866,525,417,388,074,869,
655,482,302,428,800,383,682,215,237,950,785,894,276,127,929,413,359,024,325,
567,192,879,947,499,677,786,971,501,387,085,174,163,359,296,688,480,957,947,
839,031,608,586,508,556,244,278,032,438,085,039,426,456,676,182,637,097,554,
882,400,240,571,202,728,377,208,571,380,641,517,423,079,967,837,414,911,241,
091,484,422,607,090,698,343,227,165,145,416,115,390,674,591,821,026,735,434,
432,111,828,585,649,451,402,864,597,461,583,352,445,994,392,214,521,991,378,
591,027,037,675,208,657,898,633,200,452,871,318,525,020,565,154,149,481,938,
363,613,180,302,578,326,833,869,714,807,689,793,506,407,274,593,650,600,618,
623,369,018,287,494,358,757,853,801,965,883,852,802,112,454,415,390,735,648,
213,860,101,791,097,821,274,398,031,112,838,272,639,051,147,379,527,144,045,
457,744,797,269,571,431,066,967,382,854,924,440,401,398,272,608,633,031,809,
413,956,203,553,323,524,673,454,653,781,565,942,344,469,985,499,661,526,467,
417,447,050,833,030,304,259,990,109,137,031,430,496,413,723,215,759,808,558,
818,353,312,395,195,219,504,765,913,012,338,849,424,615,594,628,830,182,571,
833,905,323,266,384,242,254,064,208,921,511,449,155,083,327,394,080,647,984,
703,679,051,705,281,799,719,216,670,660,160,035,461,980,654,758,690,952,305,
333,938,209,638,183,991,435,353,350,264,392,674,976,630,864,633,195,282,885,
358,089,480,507,096,392,649,172,225,224,825,619,665,193,017,211,164,164,658,
021,143,550,649,891,135,201,142,350,044,198,698,517,932,856,068,137,995,408,
621,372,130,922,686,118,500,157,134,400,655,103,452,723,849,455,541,377,185,
925,335,610,179,336,883,024,742,729,859,226,387,202,921,143,619,747,850,095,
801,087,580,950,369,319,544,493,068,998,456,229,899,511,931,430,766,367,478,
628,857,181,242,986,620,254,988,905,967,001,134,137,024,418,088,645,206,673,
928,789,002,957,394,390,162,905,462,663,063,352,034,881,522,637,147,086,713,
718,212,069,294,888,079,557,741,135,621,190,809,147,330,054,429,267,757,795,
293,335,326,620,536,550,892,488,573,139,800,182,943,833,107,085,759,953,124,
076,424,088,303,333,621,028,004,363,005,891,664,372,875,503,439,999,121,675,
853,104,008,398,935,372,080,829,323,114,774,949,026,769,369,642,106,487,902,
293,425,837,667,655,892,146,888,623,338,071,289,519,702,661,954,170,892,379,
920,824,302,045,596,765,076,982,542,489,094,339,906,905,138,976,488,942,525,
263,766,502,625,712,605,110,035,068,377,576,396,968,867,608,748,060,691,842,
164,251,856,939,678,412,192,861,891,658,605,520,807,104,727,486,563,659,129,
303,809,754,361,922,417,097,074,840,474,018,697,984,151,286,053,002,436,166,
049,474,528,684,667,180,074,957,124,079,897,794,021,256,759,133,026,102,383,
943,590,370,926,986,805,228,669,517,581,588,137,123,796,106,424,216,546,444,
509,358,563,599,143,517,929,739,983,484,370,501,529,513,414,903,769,775,500,
326,607,623,260,653,087,946,418,415,986,075,782,401,590,259,162,396,033,807,
923,688,504,142,816,800,850,774,067,561,998,841,235,785,154,156,551,625,749,
469,793,135,171,325,750,937,252,015,314,063,407,884,838,845,573,542,651,965,
031,924,179,009,198,633,172,536,035,711,853,865,224,695,658,156,756,366,010,
482,703,401,549,745,213,304,528,557,648,761,499,102,569,394,956,827,804,538,
444,883,513,458,172,600,379,486,287,533,585,085,000,259,955,089,164,323,727,
577,119,323,217,832,609,491,354,766,743,694,988,971,023,021,678,442,545,106,
561,087,688,391,092,739,940,453,188,512,149,102,381,206,984,016,441,122,964,
716,147,888,942,776,135,141,941,492,867,667,386,796,916,421,411,355,200,011,
630,707,165,394,780,362,726,370,461,495,671,591,943,906,864,719,934,123,841,
323,725,983,639,060,570,802,675,694,164,190,613,033,615,595,482,388,927,104,
007,647,342,738,350,862,223,684,132,347,818,591,954,590,986,049,919,893,395,
911,498,128,803,592,908,108,697,388,596,193,233,386,326,861,415,030,344,349,
196,202,796,916,177,440,576,181,027,661,025,420,959,790,175,438,350,024,235,
383,083,311,438,258,018,882,870,424,263,212,569,905,973,672,884,265,845,642,
033,516,165,880,722,921,808,720,296,136,085,979,692,252,099,321,467,326,142,
763,658,036,620,483,043,557,266,987,593,532,154,996,519,123,022,441,328,367,
799,378,816,271,019,116,127,883,827,639,782,531,876,637,424,081,862,976,947,
653,322,893,441,251,149,416,678,584,145,657,267,851,641,804,602,231,116,654,
344,770,109,562,821,079,637,480,142,527,227,476,399,976,722,186,782,105,935,
882,973,866,868,327,542,105,945,394,838,476,009,834,493,774,793,861,475,498,
998,261,329,438,855,392,952,290,882,944,068,400,161,617,877,893,537,638,080,
639,125,181,575,289,497,628,098,399,765,331,608,886,591,194,790,263,835,209,
239,819,403,122,201,955,722,399,301,441,441,981,313,236,128,340,218,972,518,
876,564,799,176,931,242,596,004,027,819,369,298,901,519,358,101,084,136,820,
789,646,711,083,236,304,873,528,431,764,145,068,577,460,236,519,474,051,685,
647,398,418,489,312,022,463,546,420,668,471,804,537,422,541,538,784,207,442,
029,132,194,537,827,382,830,755,629,299,890,131,725,842,059,626,897,169,865,
639,226,294,775,029,441,711,576,386,567,978,334,407,651,964,900,317,081,080,
915,457,035,444,358,150,081,106,037,347,639,218,728,012,022,132,362,084,157,
500,590,584,940,714,760,209,884,089,469,028,707,184,409,349,979,095,116,952,
132,661,171,829,001,504,502,087,355,207,028,653,748,842,807,531,353,100,347,
330,131,940,758,740,907,617,291,193,460,387,363,999,810,672,230,496,169,128,
636,133,350,184,178,279,354,422,176,114,528,879,922,562,144,219,052,009,503,
032,170,609,282,957,883,003,833,842,412,715,017,895,078,341,673,584,808,218,
431,646,738,723,221,392,062,872,942,165,408,210,514,146,149,140,292,182,771,
670,142,883,905,758,810,680,958,293,147,934,143,573,748,414,415,002,657,583,
876,886,809,181,841,941,965,906,847,152,250,234,512,461,169,800,834,064,658,
711,599,564,157,988,727,428,410,850,625,460,939,332,682,520,318,731,993,942,
416,720,922,419,880,229,168,457,670,697,602,168,222,923,677,075,853,655,711,
594,296,389,239,999,557,733,536,663,333,520,053,454,265,811,568,510,624,085,
630,218,448,038,831,256,930,128,815,757,915,289,980,132,064,365,842,436,379,
027,102,697,894,328,901,251,190,821,719,215,710,551,306,533,201,629,461,447,
127,906,687,118,541,632,254,864,917,319,030,283,306,024,826,118,297,888,068,
281,151,275,474,129,704,250,279,954,241,917,067,164,956,345,741,847,955,044,
942,427,161,212,689,730,584,935,854,432,530,684,497,659,031,023,591,544,027,
771,859,023,040,136,067,499,628,863,472,774,907,869,021,828,219,902,712,004,
480,385,263,129,568,916,752,796,969,519,048,242,499,068,981,247,647,260,158,
819,204,340,148,372,599,035,383,931,267,581,369,276,637,137,762,105,141,669,
541,067,405,079,549,143,831,615,225,967,544,578,518,386,819,617,206,441,420,
178,149,996,986,451,787,551,555,374,357,025,207,121,002,167,542,819,226,475,
537,409,206,060,334,949,350,302,988,343,760,508,857,154,096,918,759,165,511,
501,542,850,566,279,776,435,541,765,642,219,763,398,149,122,980,941,555,675,
513,482,088,431,627,418,872,716,684,116,031,721,063,229,913,283,678,000,419,
823,752,993,606,721,136,175,059,882,993,324,721,990,840,186,502,276,544,462,
771,839,811,030,143,425,556,956,933,567,404,167,515,993,421,925,817,607,960,
579,457,412,847,262,599,069,813,028,714,429,953,650,252,875,243,610,642,904,
373,257,241,189,675,226,735,500,304,372,748,638,319,304,689,464,972,937,917,
778,615,366,625,393,647,812,845,821,030,090,747,657,692,872,212,070,546,625,
617,200,835,091,560,967,599,395,644,368,010,897,954,502,605,696,310,752,347,
257,140,485,994,304,223,644,942,306,517,551,636,617,460,987,879,794,746,385,
614,517,228,338,276,094,673,280,346,209,479,654,483,919,623,658,250,522,868,
176,819,514,392,805,638,637,320,967,074,350,733,518,082,479,826,087,448,695,
147,198,003,385,512,175,684,480,878,531,454,483,041,326,710,434,707,846,620,
778,359,862,846,685,608,448,485,958,762,666,633,268,689,811,202,009,478,041,
550,674,367,459,589,987,247,313,357,023,205,351,579,495,922,446,175,812,632,
601,609,321,951,670,144,301,757,114,099,162,493,660,745,496,197,325,161,935,
201,949,729,356,122,949,723,447,985,884,672,596,083,561,807,242,383,212,425,
399,645,565,351,553,388,760,980,966,762,768,997,631,900,762,240,451,905,442,
195,353,450,755,083,652,195,556,146,142,262,814,222,677,326,542,019,593,813,
458,524,042,859,258,295,343,571,969,185,586,970,031,859,708,987,068,524,240,
581,427,560,361,530,869,510,942,170,334,698,460,046,593,992,933,726,431,497,
846,880,583,933,624,416,124,272,273,643,948,429,398,144,618,609,590,997,816,
076,869,233,533,084,557,335,220,057,266,442,449,212,144,085,655,453,698,368,
464,332,106,873,287,619,800,613,457,311,897,416,782,872,789,872,593,084,072,
797,345,422,922,816,709,382,115,548,932,597,813,158,741,400,165,830,425,633,
012,518,306,566,249,009,376,641,471,428,193,116,872,364,949,428,888,886,977,
007,413,704,241,834,959,387,156,204,352,128,725,200,827,448,568,194,660,208,
291,560,387,876,781,476,317,034,508,736,354,819,998,641,930,896,897,783,623,
478,050,183,086,566,500,923,909,272,960,572,395,220,499,526,662,074,904,083,
071,178,315,265,959,976,787,904,268,499,834,869,622,906,309,505,836,024,016,
716,752,012,063,688,450,271,007,274,863,422,741,812,895,520,784,338,121,690,
858,845,891,141,638,089,348,303,975,955,494,002,230,207,223,589,551,680,782,
209,670,030,684,916,773,692,664,211,646,952,364,667,315,078,551,469,405,873,
083,740,193,478,712,757,451,041,546,263,907,711,683,221,612,631,196,478,044,
446,944,318,133,668,387,294,999,424,704,994,358,014,181,813,492,274,699,858,
393,734,655,384,113,615,834,035,144,523,880,946,962,286,596,633,976,211,481,
593,763,889,188,820,600,729,391,497,596,791,904,619,010,569,409,988,625,475,
156,854,723,515,276,998,583,642,060,615,890,375,136,077,281,525,964,858,447,
366,089,667,744,802,353,137,543,031,778,457,169,695,074,893,151,855,515,538,
769,760,430,724,582,803,341,708,972,605,091,377,027,177,993,782,176,414,754,
998,606,991,346,694,769,062,197,424,789,899,474,285,177,844,040,499,361,853,
704,444,428,120,937,705,621,324,463,144,615,828,397,610,261,678,949,737,555,
289,290,833,860,826,157,103,241,503,595,011,666,351,631,051,893,735,722,097,
072,546,604,815,269,569,217,609,141,820,945,373,612,247,158,445,014,215,617,
916,330,987,725,480,230,636,927,532,351,892,618,020,264,906,483,813,011,830,
654,474,151,359,089,407,937,573,312,444,254,278,045,292,016,417,828,249,210,
985,477,993,963,028,861,904,651,393,701,646,320,742,000,163,629,660,021,240,
264,567,419,435,726,488,664,947,116,430,924,838,446,330,506,187,697,357,015,
456,539,574,674,308,625,802,675,978,349,860,717,992,133,014,421,896,633,421,
845,948,996,596,706,391,063,655,532,153,821,125,481,775,013,784,809,952,614,
946,487,756,892,155,674,379,129,657,656,369,591,110,349,025,781,162,343,378,
209,287,662,373,196,865,413,802,882,189,094,304,814,997,201,513,765,082,253,
053,919,405,061,914,177,054,310,212,233,254,166,789,861,527,081,823,092,310,
645,477,299,341,027,928,145,647,795,421,601,711,208,782,650,448,855,332,369,
328,921,583,517,410,051,722,885,502,639,023,442,658,752,011,715,025,913,702,
548,531,275,366,506,690,978,087,929,685,587,821,663,098,709,693,540,641,555,
763,891,942,348,574,842,720,474,392,916,320,087,114,312,856,383,235,843,159,
611,250,502,413,547,265,286,285,271,035,109,008,529,908,610,501,695,549,820,
053,485,850,785,793,599,015,309,078,881,272,300,337,619,038,027,336,714,220,
966,391,657,844,247,981,663,832,372,375,119,577,437,532,370,532,687,445,814,
476,072,579,643,900,955,733,129,289,675,366,734,989,697,794,870,394,901,087,
728,403,226,307,216,009,198,754,640,912,317,458,303,635,489,817,863,950,516,
209,210,629,659,725,215,661,971,414,196,790,175,059,907,853,548,300,510,775,
894,452,823,909,086,548,152,823,855,865,179,704,920,448,712,400,422,716,510,
891,603,115,040,618,443,652,834,945,317,721,822,523,531,402,218,314,607,067,
018,968,654,258,655,168,494,377,110,309,931,201,205,442,768,065,601,891,723,
321,087,790,509,414,955,586,515,105,042,658,376,520,294,878,338,154,037,499,
762,573,098,907,616,591,683,408,696,874,227,163,952,410,462,366,588,745,741,
936,978,668,029,430,995,442,650,019,301,378,730,717,795,813,840,859,014,976,
965,570,033,409,475,180,385,028,023,304,206,572,249,092,631,751,031,327,704,
679,326,753,646,461,039,564,504,308,294,883,997,564,496,671,254,141,392,410,
057,059,193,795,074,459,972,294,308,694,455,190,544,030,319,325,583,874,195,
731,356,111,637,619,357,002,980,903,543,967,852,561,380,838,576,532,384,593,
557,144,502,080,057,354,994,242,078,840,760,420,890,057,659,490,201,713,605,
027,767,049,808,239,795,936,281,167,298,368,436,099,162,859,198,952,559,803,
519,204,438,148,048,066,238,502,231,530,683,264,487,178,416,606,016,945,496,
725,114,632,379,032,436,848,278,390,987,041,705,663,789,444,062,318,232,328,
138,211,948,837,236,767,558,766,010,788,905,006,512,034,862,545,119,748,347,
523,829,899,056,210,818,156,498,425,551,977,525,661,543,355,448,611,961,608,
281,667,740,746,821,354,155,749,929,506,908,395,897,885,397,136,654,611,074,
078,055,958,101,728,603,379,620,295,611,136,200,147,257,829,270,971,347,851,
500,644,217,994,010,919,085,763,603,971,200,473,146,611,325,696,170,107,330,
120,734,158,634,567,269,450,601,536,413,785,624,954,706,560,727,997,735,320,
287,718,886,534,952,083,049,892,786,143,626,973,629,257,011,844,085,788,609,
086,282,689,557,862,612,796,279,736,873,592,701,010,297,196,024,343,424,918,
292,606,270,801,821,837,290,273,827,299,058,561,573,635,201,400,460,905,483,
089,853,919,238,610,556,849,629,456,112,947,908,089,734,755,649,566,017,617,
807,612,533,690,240,289,799,258,338,117,276,028,853,105,057,428,203,606,558,
302,007,208,960,036,737,452,404,943,913,748,262,426,650,321,308,093,374,718,
460,664,436,006,777,602,135,161,047,249,318,525,745,657,455,515,327,132,495,
016,121,812,382,318,107,571,359,356,524,113,034,509,810,341,717,633,508,953,
411,872,518,834,267,342,966,765,213,641,627,621,403,410,779,414,500,320,327,
828,557,650,527,192,293,272,530,764,372,704,182,222,428,891,399,517,784,766,
707,442,213,909,571,706,078,313,148,577,309,326,333,438,008,607,642,290,729,
916,964,671,493,498,487,947,954,966,758,307,798,632,883,092,155,941,990,133,
057,164,255,242,933,195,208,918,500,858,730,174,724,997,259,570,129,518,795,
502,764,633,321,679,201,763,362,364,255,143,132,177,644,534,888,741,792,686,
010,459,023,181,384,070,643,709,666,757,958,800,469,686,923,664,908,933,366,
440,139,286,294,846,011,663,930,199,697,269,298,990,942,778,828,370,577,522,
782,413,136,345,321,345,353,860,736,309,554,390,797,841,318,721,766,041,669,
907,180,759,834,394,193,454,409,006,057,994,068,995,204,133,273,267,031,877,
443,359,515,591,056,149,603,601,845,301,199,147,643,997,886,564,509,558,377,
857,528,996,698,720,919,062,240,132,825,754,351,589,881,417,794,690,475,780,
290,951,132,354,041,025,405,978,694,308,967,568,669,783,813,589,653,931,027,
009,176,901,575,190,822,187,391,031,568,383,795,030,160,361,686,716,751,214,
354,278,468,986,984,406,170,403,896,564,490,733,285,461,935,401,573,325,018,
818,303,122,456,611,141,724,384,999,134,315,905,588,322,131,428,408,435,455,
044,831,644,576,434,368,526,498,446,077,278,618,213,694,400,020,644,087,679,
670,338,275,111,594,430,156,976,093,056,652,110,626,427,963,560,093,068,051,
582,754,737,962,420,185,945,188,226,052,956,644,101,121,701,772,952,035,087,
894,872,322,809,295,938,032,669,116,317,824,628,119,717,989,913,694,544,250,
813,990,638,104,437,603,764,232,827,584,395,863,300,817,947,617,412,268,182,
541,652,390,882,297,968,687,036,126,961,089,858,208,594,728,442,748,770,613,
694,175,568,798,839,226,903,081,382,061,062,159,791,444,056,027,574,576,399,
102,518,117,506,385,122,452,145,258,098,616,426,089,973,651,651,909,794,924,
831,451,972,281,510,395,121,850,819,106,396,537,984,989,764,834,891,340,416,
682,349,668,148,105,273,654,577,365,487,399,447,259,294,834,117,411,140,136,
447,417,664,252,620,695,610,013,327,234,143,745,048,621,689,078,695,857,691,
257,392,519,617,726,049,451,073,967,139,192,580,505,982,379,421,470,679,426,
988,034,139,823,159,058,657,474,914,296,970,644,000,471,032,684,346,439,433,
375,097,169,325,143,993,500,950,192,564,031,403,323,810,327,957,477,361,793,
063,552,835,223,508,049,960,675,690,662,934,275,962,636,683,188,258,413,808,
552,714,595,749,231,758,647,116,679,744,505,648,028,360,544,619,305,052,777,
079,861,296,715,617,080,376,001,673,542,866,003,365,638,150,902,936,423,061,
671,948,021,130,139,232,319,738,303,928,869,775,837,272,654,145,164,714,852,
261,701,019,757,744,898,532,414,439,190,474,811,850,685,093,327,415,882,483,
153,223,527,980,857,711,966,252,651,837,348,475,452,677,025,121,318,185,446,
933,735,847,789,560,859,552,852,842,307,985,262,218,344,483,029,294,477,869,
584,498,771,456,886,537,334,278,703,664,300,989,194,296,024,771,461,619,072,
285,398,879,243,046,305,144,723,628,286,129,068,544,433,007,263,962,544,237,
196,949,871,891,863,115,015,696,851,097,051,774,376,249,309,250,709,362,138,
532,835,301,188,310,721,006,549,336,353,809,781,349,842,825,620,807,262,780,
399,950,716,027,415,120,895,781,714,621,143,630,747,034,568,134,352,764,657,
078,680,367,954,328,220,895,126,344,951,505,689,426,924,154,090,063,199,317,
715,484,336,959,515,971,600,808,052,092,524,557,607,054,654,107,935,415,700,
747,476,786,993,496,993,559,895,162,118,623,825,669,364,861,824,488,185,753,
243,795,515,411,373,618,646,748,797,490,417,567,869,044,834,660,423,383,866,
318,418,408,193,261,975,119,969,260,380,812,826,139,054,931,780,499,489,795,
784,460,668,179,608,860,512,031,890,701,077,540,692,827,784,826,356,541,662,
368,902,587,305,026,184,871,957,945,534,473,801,295,887,120,945,998,960,860,
078,224,452,855,450,088,088,855,011,755,019,187,229,332,345,652,382,685,647,
449,691,677,080,743,775,401,629,924,290,919,617,474,758,115,071,984,975,214,
405,879,817,403,484,103,861,225,175,778,645,481,750,063,787,760,966,528,531,
683,995,377,380,008,806,079,994,165,834,172,551,771,433,159,974,561,547,960,
056,133,217,197,501,074,521,699,748,464,590,850,078,942,959,959,818,158,437,
260,006,405,405,093,140,989,954,906,647,300,238,840,273,776,784,558,704,314,
708,663,005,278,464,604,733,574,232,054,079,842,819,013,828,361,237,413,414,
274,333,895,729,317,765,389,851,255,155,651,649,344,281,939,754,926,857,656,
939,947,060,046,863,575,365,911,493,577,211,011,980,140,607,266,058,179,094,
542,506,954,143,735,522,340,924,302,094,954,278,047,034,806,981,095,489,514,
176,178,795,718,246,486,630,423,190,410,231,430,545,996,360,353,752,839,282,
505,714,421,469,511,836,522,027,970,290,004,912,716,670,128,052,439,951,111,
262,980,363,890,561,844,229,588,266,787,332,770,851,226,140,484,579,070,674,
544,727,324,982,056,529,772,470,151,439,205,862,805,591,615,616,218,942,454,
517,464,433,980,475,530,138,553,348,893,800,697,366,962,095,696,405,240,995,
579,398,086,356,364,011,259,492,154,583,163,802,434,678,071,054,328,582,374,
074,506,592,717,036,544,136,917,433,811,070,710,232,755,000,782,329,783,799,
987,835,018,125,008,792,805,279,115,936,153,028,488,480,057,054,183,445,058,
009,128,330,940,713,477,705,201,523,582,854,701,406,291,929,516,115,111,144,
992,127,379,056,149,154,720,811,966,931,603,522,125,620,208,184,567,999,787,
289,856,631,582,080,000,021,062,268,168,716,795,329,412,299,826,734,650,972,
831,194,905,519,582,447,807,825,532,033,216,305,050,755,636,055,780,785,447,
163,389,265,761,151,545,641,785,875,772,065,282,285,639,140,483,318,086,747,
062,227,319,837,981,705,499,691,482,750,152,865,584,636,910,619,014,883,115,
826,524,734,635,024,031,193,396,221,264,195,153,462,791,049,398,654,267,758,
129,904,887,358,636,770,197,391,556,260,804,207,586,205,797,616,825,342,828,
393,719,819,272,782,688,832,871,415,392,082,627,533,966,946,220,704,414,536,
971,336,468,920,957,167,167,195,516,325,575,114,065,675,445,431,832,888,346,
892,347,452,337,239,757,792,775,127,066,847,791,341,974,090,578,401,745,848,
727,666,564,444,301,099,203,013,023,967,178,211,581,415,459,994,655,796,730,
974,020,884,776,369,499,171,814,601,928,225,669,932,871,812,967,199,859,727,
384,989,774,189,784,762,298,773,014,670,239,726,501,173,461,284,038,694,755,
922,739,308,452,358,692,748,881,244,413,121,186,523,710,811,246,557,862,269,
901,388,343,875,317,498,914,205,097,249,103,355,092,299,152,119,508,135,307,
704,129,425,010,389,132,365,535,252,581,385,093,274,322,126,787,488,706,796,
691,773,825,484,156,332,035,925,559,446,584,440,552,001,852,951,318,482,050,
856,088,185,731,322,060,067,619,890,139,263,165,091,776,793,849,149,854,012,
268,929,628,632,360,376,063,241,190,337,261,345,119,656,607,820,779,135,288,
636,428,478,218,149,604,610,726,957,982,370,095,689,942,703,818,400,422,727,
920,075,286,257,606,745,351,431,100,564,426,421,198,762,178,732,613,201,753,
014,419,173,601,192,971,910,155,882,259,911,762,417,259,098,928,250,186,123,
330,838,222,155,216,795,206,396,965,553,043,574,507,220,602,994,610,505,240,
758,399,773,385,667,726,882,663,724,480,768,720,617,460,582,058,708,501,056,
491,881,417,212,553,441,094,444,853,910,238,138,756,009,613,332,626,961,062,
987,759,728,573,807,153,028,298,993,383,788,630,753,548,429,659,000,372,933,
384,281,227,411,638,679,302,742,488,010,991,070,198,628,122,229,358,076,188,
757,604,203,465,879,347,281,046,189,846,934,789,115,368,532,719,063,606,838,
243,307,991,406,534,587,561,162,641,520,537,821,962,890,080,267,145,381,986,
005,883,902,900,381,142,484,573,874,383,895,840,816,465,694,412,948,806,329,
134,517,947,143,212,397,764,372,111,195,726,002,313,007,133,568,700,859,211,
549,751,043,903,380,483,874,836,589,110,665,202,894,968,329,785,079,247,388,
947,662,484,445,741,148,405,972,099,402,533,151,804,426,552,031,137,927,992,
753,309,895,163,014,599,991,060,270,399,624,586,423,389,987,727,274,990,661,
819,166,265,328,313,505,446,697,525,886,463,491,318,683,683,979,061,297,031,
809,844,576,828,148,302,399,876,577,711,800,285,580,437,558,739,359,408,003,
532,430,714,258,529,463,122,601,206,727,881,963,465,081,049,363,241,871,632,
294,661,828,528,326,064,634,341,593,074,208,804,983,937,161,682,676,898,634,
773,896,646,059,616,439,731,422,202,189,395,201,421,755,022,079,042,042,461,
275,402,307,519,488,846,141,616,207,483,102,822,550,198,339,585,767,904,117,
619,509,459,167,343,540,779,754,079,170,966,158,541,940,758,870,664,179,175,
655,190,754,561,188,620,000,672,035,280,361,179,605,144,219,955,060,246,618,
592,913,044,316,621,268,096,529,102,818,600,344,870,790,240,326,375,691,088,
039,558,697,181,427,726,338,701,885,256,922,633,297,655,561,129,287,200,247,
028,669,033,321,849,917,200,572,644,241,709,885,842,314,861,542,081,592,087,
149,800,519,932,996,808,608,410,507,754,878,865,956,011,279,198,354,733,432,
691,735,352,343,132,144,993,716,289,332,469,828,703,866,361,104,706,443,610,
689,131,464,879,238,336,556,684,936,584,823,584,581,910,957,175,622,151,322,
165,850,758,830,475,914,040,077,508,885,117,066,134,015,503,485,265,565,665,
600,858,691,840,558,310,442,653,355,274,815,590,930,366,980,056,442,153,294,
037,175,661,332,493,691,359,477,539,546,429,349,087,473,938,469,600,467,639,
890,725,712,608,606,957,967,442,725,680,948,691,893,690,927,348,620,124,032,
692,987,413,566,431,137,327,966,112,674,438,580,722,312,715,623,181,712,958,
632,424,702,888,352,186,667,089,820,082,600,301,279,838,856,284,848,138,573,
047,186,062,367,117,922,369,929,556,790,630,477,295,761,901,110,485,347,847,
130,798,847,073,741,990,442,388,564,442,716,332,075,417,303,342,515,904,011,
498,582,187,578,064,617,837,671,202,091,534,987,436,200,085,679,259,219,096,
252,467,107,400,184,762,582,361,478,870,696,511,474,669,268,204,121,640,224,
269,350,787,461,707,896,149,012,184,942,926,016,284,324,339,837,917,956,197,
913,069,081,404,522,129,462,884,533,241,072,472,608,409,914,200,893,011,728,
614,412,183,181,929,656,008,193,663,813,512,365,957,139,657,904,600,153,225,
502,171,574,657,717,559,860,239,655,063,094,232,682,678,328,903,246,454,036,
378,151,215,438,891,007,945,120,023,505,321,776,839,773,425,319,899,749,272,
342,042,624,944,396,235,635,171,451,058,140,104,448,995,250,295,220,868,001,
987,033,964,864,615,274,340,457,571,210,095,867,726,443,720,153,329,230,574,
467,048,822,949,581,180,372,057,986,439,551,664,121,268,699,102,290,652,234,
011,823,384,948,533,345,018,839,803,178,828,236,797,533,211,270,112,758,613,
881,731,733,302,018,282,010,192,016,422,149,626,789,686,942,223,097,622,895,
419,681,933,476,393,379,925,444,802,892,544,290,175,008,653,404,534,520,114,
679,822,527,860,539,133,484,307,249,856,372,087,022,479,236,546,565,168,773,
320,684,360,620,191,576,991,591,079,437,828,100,289,713,328,166,377,332,221,
174,412,137,168,773,887,001,605,302,189,390,498,997,034,332,892,718,235,488,
813,330,534,571,002,150,054,891,868,355,175,846,925,600,448,972,115,209,578,
770,870,906,502,812,160,925,029,160,294,916,908,136,954,701,340,696,841,089,
080,534,441,509,647,656,546,383,548,031,815,246,887,959,026,965,795,654,655,
503,491,605,669,018,795,847,536,370,387,224,550,108,843,830,853,659,555,480,
718,271,255,023,013,087,066,005,021,173,687,905,670,032,682,411,827,517,840,
706,166,185,935,944,157,040,725,442,665,484,052,898,782,786,669,178,828,075,
274,534,806,158,799,030,980,191,019,673,856,167,970,919,160,473,193,585,027,
374,446,030,039,345,122,664,128,634,720,035,240,160,346,565,003,015,950,500,
797,003,868,430,188,466,420,378,114,751,813,061,618,758,626,091,963,182,550,
137,452,108,755,816,389,940,652,272,038,624,279,456,410,127,810,064,270,782,
246,795,454,385,591,410,206,569,388,886,550,028,358,009,399,639,327,823,840,
787,122,381,369,009,859,598,166,188,272,718,425,083,079,082,754,279,868,470,
123,379,134,128,356,494,179,300,090,807,374,067,430,196,912,496,246,196,661,
990,338,595,559,967,977,916,147,989,965,155,062,643,860,313,780,772,240,421,
941,986,279,982,397,161,423,253,445,730,958,240,098,831,613,585,114,684,446,
026,366,244,520,164,872,167,139,676,129,493,114,429,948,697,841,777,490,305,
299,255,902,480,235,741,815,537,978,441,612,821,625,803,975,067,419,009,203,
272,762,614,642,268,933,005,060,893,352,766,200,805,741,415,958,963,233,584,
075,314,217,539,644,404,559,852,960,028,802,169,365,498,176,813,778,296,630,
231,508,181,380,405,936,417,323,682,971,491,101,266,373,780,516,929,387,649,
788,666,921,099,610,585,644,978,564,539,374,497,029,530,626,905,680,902,916,
039,206,502,303,715,646,943,967,607,324,784,453,903,463,246,604,794,177,776,
549,604,588,415,258,674,373,632,883,168,455,181,042,934,463,065,387,650,525,
700,621,111,896,577,015,897,884,010,605,220,187,671,364,968,016,568,778,328,
657,639,678,486,881,890,918,624,372,121,291,340,484,742,892,805,800,909,492,
843,821,674,072,484,051,581,175,522,685,729,510,659,693,909,879,754,738,575,
744,887,564,040,563,126,802,847,208,172,795,684,098,346,676,650,005,779,702,
234,683,310,745,460,999,381,719,938,478,219,256,791,970,371,729,905,895,215,
583,322,189,823,615,199,930,716,529,938,294,249,406,639,586,040,780,630,977,
640,582,055,915,511,602,117,097,652,983,485,482,777,042,074,906,499,554,219,
672,455,107,978,974,097,719,391,931,080,981,641,479,179,514,844,571,866,302,
595,158,917,592,639,701,754,907,311,355,739,906,946,804,871,694,996,603,010,
426,926,562,955,546,618,723,721,817,537,427,575,760,625,730,146,368,505,090,
723,280,545,103,066,182,767,284,950,846,478,029,256,607,699,244,477,741,336,
592,042,381,390,205,183,962,667,777,498,094,949,123,709,081,544,244,411,675,
730,579,943,969,475,699,676,891,235,113,827,901,110,827,758,555,509,917,651,
217,102,906,578,240,392,595,636,487,958,336,852,862,391,460,746,897,109,086,
365,004,320,223,402,892,590,663,444,998,339,717,052,145,543,190,805,858,963,
584,761,439,414,626,901,320,711,620,718,343,783,164,214,170,560,714,992,824,
467,231,017,807,997,221,904,771,939,790,027,130,431,559,389,833,576,800,580,
922,761,937,791,253,661,935,700,424,113,214,372,056,156,864,583,374,734,393,
958,887,845,233,880,167,630,303,681,048,741,111,543,604,919,031,032,207,210,
092,601,569,218,900,817,360,817,917,979,470,802,760,196,814,656,599,026,435,
722,419,833,077,752,187,613,149,243,562,660,935,343,697,847,387,782,215,912,
621,221,911,838,215,196,177,840,214,670,467,070,037,836,282,745,606,694,824,
300,333,857,085,561,183,078,420,096,014,425,541,398,847,574,345,437,992,986,
142,534,626,333,660,641,008,489,256,435,929,677,572,660,166,415,556,497,032,
221,035,112,283,310,173,379,404,414,597,690,034,001,677,079,542,752,723,683,
826,934,518,635,032,423,365,846,194,340,177,396,693,796,863,402,933,101,658,
442,686,172,842,518,967,796,720,276,855,175,164,561,376,081,145,580,730,090,
506,477,753,997,691,403,665,530,959,780,820,162,814,008,032,849,070,717,285,
343,808,021,932,086,197,156,607,227,698,169,797,528,516,490,199,704,824,973,
903,355,528,336,058,562,079,760,777,760,077,707,250,136,097,505,214,498,422,
136,391,945,493,232,164,265,124,959,281,123,177,096,192,839,177,912,048,687,
179,277,028,808,014,518,533,348,338,569,102,701,296,269,375,630,211,557,264,
300,641,194,056,698,592,422,080,550,195,569,946,542,896,238,417,241,938,460,
169,183,544,797,437,063,617,526,817,598,879,989,838,079,476,864,231,707,435,
714,526,806,653,956,309,380,996,876,454,044,314,902,842,054,188,502,423,357,
495,905,363,062,256,043,929,717,568,442,792,636,058,027,456,800,545,925,463,
953,489,397,094,290,227,900,493,741,897,292,936,375,404,056,030,485,024,139,
034,686,487,013,378,252,242,725,552,684,065,851,264,023,923,950,379,599,405,
241,485,137,993,894,380,446,237,963,488,381,204,452,181,541,141,576,876,282,
093,824,107,970,528,189,682,761,163,290,738,533,220,634,228,611,982,820,928,
601,316,365,220,157,872,934,747,186,499,715,298,603,284,103,541,525,564,848,
700,261,131,823,083,623,079,345,804,180,181,856,322,960,785,753,758,403,208,
624,341,187,528,416,178,206,997,176,332,029,482,351,984,755,665,075,046,224,
949,662,441,702,458,742,131,085,177,654,445,816,385,178,145,692,099,113,676,
246,633,872,776,694,285,272,659,907,897,190,058,545,899,346,631,418,634,499,
027,546,295,670,039,156,657,887,792,449,096,130,435,696,667,042,777,223,885,
504,286,577,601,938,867,906,410,130,925,291,353,601,563,638,218,554,603,289,
789,107,556,019,054,873,693,663,950,665,290,163,553,982,888,008,208,651,065,
515,570,043,298,366,358,365,476,505,388,423,003,586,591,644,553,275,966,081,
895,320,098,443,915,298,604,935,898,947,405,517,907,054,183,474,503,444,746,
566,181,602,520,182,703,535,783,562,987,799,891,130,948,215,215,174,992,719,
207,121,456,133,702,600,506,199,544,960,759,240,427,218,136,785,669,112,500,
101,473,662,614,044,847,590,313,596,168,748,272,615,116,205,215,191,427,843,
230,130,825,010,374,840,149,252,392,529,739,769,669,309,646,343,097,018,818,
480,472,608,571,170,061,714,582,509,983,072,129,310,675,494,166,454,512,882,
553,360,959,718,466,583,437,592,637,364,908,489,600,693,100,861,120,282,224,
491,414,746,365,371,967,713,905,896,498,737,217,363,830,577,369,786,216,143,
124,494,052,458,867,546,478,134,512,878,174,914,780,294,204,505,261,204,640,
614,649,653,962,051,127,072,589,303,400,959,916,314,452,610,495,545,894,569,
629,205,538,897,871,783,461,246,351,838,638,448,596,983,528,217,248,191,028,
098,049,826,893,166,584,626,662,054,108,432,541,061,850,947,296,188,399,934,
458,311,777,603,943,129,780,681,563,420,281,203,112,508,588,860,459,441,622,
712,533,490,195,507,458,732,740,960,487,216,719,665,573,243,740,395,345,437,
503,642,468,818,369,007,334,731,308,252,519,107,574,974,233,138,167,197,991,
835,813,406,084,172,032,364,087,918,615,818,604,103,792,073,584,370,922,930,
433,295,414,065,026,000,926,855,581,565,954,927,231,657,813,200,201,554,318,
930,390,944,633,718,035,689,711,094,371,115,115,381,118,574,364,106,743,168,
894,906,990,272,973,429,695,465,116,040,048,293,213,650,344,673,291,951,245,
500,975,543,646,900,203,471,561,526,181,324,333,909,065,897,021,147,771,600,
881,019,647,807,126,672,303,380,769,626,104,321,459,775,890,270,213,352,559,
420,928,734,604,120,022,482,068,774,358,501,732,910,647,551,881,847,258,327,
701,769,381,385,353,644,089,611,962,807,388,740,925,524,192,376,324,333,483,
846,645,606,359,150,116,675,013,573,967,047,488,817,329,458,130,013,729,662,
044,098,462,517,887,840,378,409,849,355,483,801,994,665,707,088,702,398,297,
959,069,817,605,909,808,962,144,670,999,378,615,685,999,635,934,443,375,433,
591,126,379,362,003,071,116,298,621,463,668,394,643,000,400,691,082,615,643,
052,144,199,888,174,202,140,103,690,029,441,549,360,907,713,939,570,505,872,
798,463,025,196,236,132,921,147,331,085,263,002,861,408,416,844,096,842,851,
350,472,537,124,477,135,525,519,011,681,944,948,488,227,089,641,687,533,786,
979,177,932,926,047,272,223,537,165,157,173,158,705,136,568,024,338,408,084,
235,494,112,306,705,854,006,454,885,842,082,487,891,392,961,695,840,801,722,
328,365,599,313,511,181,244,696,628,871,098,281,139,495,455,770,611,003,587,
754,743,577,640,706,744,684,850,946,608,792,271,687,169,211,611,723,667,508,
807,701,143,426,575,972,005,401,888,914,756,620,126,773,766,203,810,809,544,
722,517,627,693,148,436,541,585,229,752,599,469,985,609,619,045,000,482,610,
877,421,962,888,512,405,909,227,346,707,773,448,630,153,727,913,114,961,460,
587,650,638,544,887,916,496,416,087,389,533,042,421,122,789,238,838,447,507,
369,373,504,087,751,653,493,384,201,957,524,941,347,981,307,262,890,123,671,
302,553,732,763,520,555,485,236,542,781,822,554,971,121,990,125,207,066,458,
319,441,194,440,256,329,709,559,932,244,810,804,988,784,436,278,732,113,807,
071,086,441,708,424,714,264,335,466,317,885,098,884,869,265,960,862,593,523,
899,944,099,987,217,488,669,357,912,161,967,509,326,152,217,506,341,651,561,
762,128,777,636,731,216,794,649,711,824,561,414,110,590,619,686,212,521,676,
573,082,038,085,952,770,587,894,222,535,312,701,750,593,977,268,932,311,000,
964,184,556,983,082,262,568,097,093,283,666,532,482,079,903,713,057,005,857,
134,584,603,254,420,500,532,018,047,726,979,899,587,567,562,364,146,796,806,
431,586,215,742,134,662,215,414,179,906,190,494,522,470,900,038,663,774,455,
073,220,052,078,078,361,743,280,980,329,553,892,870,652,318,178,620,273,902,
030,167,276,900,324,987,495,964,319,667,358,198,527,547,011,058,245,798,339,
976,016,539,876,468,176,896,519,827,546,534,494,119,013,607,026,039,050,985,
677,419,219,188,381,938,860,321,427,702,052,248,454,899,109,488,090,749,814,
686,736,628,448,286,410,257,449,984,879,893,710,566,760,500,762,882,793,180,
185,601,368,766,259,249,108,999,103,672,964,433,339,224,426,679,575,956,930,
815,334,103,378,680,899,173,679,111,433,090,223,547,074,896,804,087,769,196,
182,298,021,528,378,903,913,065,629,143,013,439,635,131,783,260,243,130,912,
273,005,054,814,342,784,555,561,132,166,887,075,568,288,647,821,099,071,792,
017,405,487,741,174,786,870,020,531,942,646,876,074,895,802,286,554,512,770,
128,175,749,150,556,354,710,552,535,159,651,363,342,865,089,884,260,848,209,
425,961,840,462,608,622,130,542,189,730,365,801,406,019,650,541,908,527,102,
025,852,113,374,016,161,032,039,226,385,925,139,184,877,842,033,237,696,608,
296,059,397,398,892,683,019,786,597,162,696,683,653,948,757,975,010,551,757,
577,104,733,037,675,534,510,399,841,900,248,751,280,412,179,727,208,689,963,
570,689,507,524,535,362,277,853,357,287,738,804,990,942,532,822,060,417,634,
355,253,834,064,917,126,694,380,263,424,733,413,309,404,342,472,815,334,448,
465,819,083,519,809,000,465,067,892,174,095,882,098,765,029,398,903,894,728,
382,787,452,196,597,001,119,143,123,021,750,337,190,681,478,659,915,902,215,
770,248,223,458,867,534,915,413,842,271,480,807,101,382,795,518,925,650,141,
405,249,583,272,864,663,031,059,538,953,883,746,207,647,095,610,099,482,371,
239,479,073,739,368,455,747,389,734,921,193,212,953,677,842,142,474,149,485,
887,980,937,528,169,651,398,624,883,117,825,555,499,260,727,377,797,537,239,
293,062,902,930,654,626,065,969,838,565,398,706,268,755,928,205,450,804,456,
546,469,856,789,841,069,672,679,336,973,319,044,878,505,133,753,650,792,234,
166,270,511,444,090,366,335,287,231,339,243,777,250,010,751,594,830,062,470,
035,971,319,694,399,911,880,778,200,535,818,415,682,674,643,414,398,803,756,
976,046,675,251,065,277,365,784,986,800,571,218,461,132,797,172,692,814,681,
908,162,176,484,894,091,979,781,181,156,940,580,610,776,984,442,305,890,555,
773,600,577,795,064,907,590,760,456,268,720,815,663,996,031,516,176,200,497,
882,903,368,085,797,814,296,151,985,693,430,644,280,694,507,855,863,460,899,
548,610,770,344,630,856,750,704,113,933,960,194,152,781,068,077,117,678,244,
066,805,946,075,585,120,514,949,788,187,094,339,647,185,872,280,009,659,268,
776,789,879,435,057,077,046,067,616,291,492,599,229,253,969,271,592,368,211,
953,788,125,476,518,605,918,515,900,661,726,277,430,078,498,793,915,186,977,
707,485,620,195,721,823,199,667,431,513,986,774,662,240,963,502,029,069,888,
922,782,377,467,898,555,569,273,203,352,205,031,784,533,363,526,987,611,095,
353,496,331,328,450,165,310,493,963,560,308,430,552,545,536,206,662,539,285,
311,700,784,827,117,728,056,218,371,039,553,661,772,941,701,591,995,851,635,
994,301,016,743,962,885,686,745,318,359,463,869,754,087,795,310,540,658,964,
619,817,280,712,519,562,116,863,117,434,835,045,340,528,526,464,528,125,663,
226,853,111,517,518,398,681,400,905,554,932,014,938,952,705,928,782,267,953,
638,736,204,745,195,555,030,228,015,207,625,049,783,604,389,909,603,951,551,
044,683,160,790,777,543,230,400,432,051,747,666,208,651,246,550,666,370,689,
513,075,737,722,121,645,620,657,684,771,971,411,927,742,437,134,722,870,338,
299,679,297,395,387,826,539,808,190,153,645,421,353,432,649,516,539,974,713,
663,501,403,046,008,305,655,903,422,968,570,488,416,246,146,492,876,355,120,
469,232,237,561,601,646,257,269,608,736,004,626,846,296,564,598,950,396,569,
210,214,951,671,799,957,778,616,987,190,011,231,505,993,508,875,740,681,092,
479,706,490,961,839,285,591,376,496,737,740,417,642,966,393,664,879,984,278,
693,067,732,793,043,204,760,434,573,218,522,173,245,811,602,360,397,519,936,
738,506,608,909,624,890,850,706,819,157,743,197,976,157,353,642,840,127,916,
194,150,936,248,020,170,028,412,018,772,987,785,809,444,493,902,945,403,575,
637,046,327,803,674,073,102,568,256,916,612,490,273,631,909,252,957,058,669,
770,064,838,177,979,590,105,640,914,857,367,228,066,564,274,569,246,555,411,
041,676,883,574,469,956,415,986,079,498,257,011,591,979,206,669,076,694,109,
360,045,356,413,135,146,293,973,662,542,215,858,874,476,858,915,242,539,017,
134,882,156,234,344,636,383,414,739,224,492,305,598,040,665,084,339,226,688,
736,850,290,073,156,802,276,107,065,673,971,410,577,361,205,289,093,056,007,
157,811,117,949,232,463,741,800,959,869,039,717,431,285,682,933,505,336,040,
620,974,641,791,828,560,413,336,338,929,946,511,490,595,669,674,312,406,446,
039,707,282,773,296,247,603,871,680,743,244,216,616,155,101,879,060,204,143,
652,289,852,214,982,585,136,175,122,666,539,321,439,396,870,362,555,083,081,
336,628,488,742,623,125,675,263,985,359,757,599,756,269,135,730,669,121,360,
040,516,524,508,166,129,989,587,804,706,640,460,642,775,414,835,761,582,101,
540,770,152,698,445,197,285,654,387,954,654,248,856,355,603,023,652,728,338,
485,725,379,579,587,615,704,465,115,136,397,050,192,012,297,687,230,182,633,
526,413,715,128,215,569,407,964,173,535,864,537,838,085,244,512,900,676,968,
732,675,781,890,785,362,427,145,748,408,914,420,238,791,343,498,847,092,202,
963,563,379,416,087,607,417,298,362,596,777,493,097,589,939,937,965,093,584,
969,186,957,358,737,521,093,423,902,621,575,139,437,873,280,928,187,754,504,
177,188,359,423,833,133,432,321,191,303,822,041,117,660,439,214,240,161,070,
915,244,755,284,563,159,156,158,701,078,123,807,531,602,190,324,548,559,005,
546,993,113,824,283,937,639,566,258,338,024,062,502,799,639,470,074,332,658,
625,594,976,144,388,282,146,531,599,682,203,969,955,609,257,124,617,463,604,
034,066,386,680,199,454,130,276,625,398,423,349,126,247,005,798,885,706,608,
891,619,307,844,803,956,541,245,354,351,314,757,546,543,633,855,963,674,359,
964,041,422,653,870,200,481,643,831,248,940,468,699,185,108,512,313,342,555,
853,468,089,885,154,124,051,468,781,400,223,500,634,316,546,718,639,317,002,
918,136,026,070,801,191,488,268,316,596,055,286,248,260,662,760,767,532,227,
522,792,633,414,775,233,461,011,866,703,282,389,074,561,928,171,418,840,649,
820,007,364,630,871,235,314,277,860,329,059,288,490,420,511,467,273,316,639,
779,596,937,445,799,488,023,207,581,236,702,540,974,814,573,681,866,004,879,
842,353,174,758,248,019,857,404,992,223,847,045,013,892,222,880,294,571,915,
185,614,150,045,896,048,083,372,391,923,308,492,063,613,511,239,034,659,521,
305,943,769,462,888,694,274,677,514,578,811,164,947,066,461,454,654,983,029,
131,627,477,818,656,669,506,473,966,969,349,560,771,594,537,216,160,665,405,
625,777,296,938,358,441,467,031,055,966,500,792,482,985,671,794,920,942,800,
813,422,593,832,646,674,456,627,373,463,691,338,834,389,800,839,908,175,575,
484,688,505,057,439,082,865,295,883,878,792,844,404,444,237,817,384,313,707,
714,960,336,587,174,532,335,609,124,780,057,844,751,459,832,188,387,073,084,
862,858,821,385,198,966,239,376,439,661,705,203,510,975,061,453,989,567,102,
204,848,894,907,441,118,717,060,162,661,091,211,474,496,967,119,024,145,672,
062,600,073,291,551,999,712,489,884,519,954,511,734,175,585,626,865,172,488,
933,417,937,412,254,094,444,399,177,655,114,834,537,936,267,187,050,383,417,
463,010,403,431,525,784,363,118,520,893,214,473,516,805,207,628,971,455,227,
434,909,217,287,387,568,437,749,875,368,189,114,747,160,440,122,558,800,882,
425,587,535,542,921,969,982,541,701,307,125,791,939,266,467,614,979,511,292,
042,163,755,738,675,763,979,194,693,780,958,873,842,971,016,214,063,720,435,
088,458,915,562,911,846,605,426,441,170,094,403,417,808,310,631,404,525,262,
453,056,344,389,766,681,536,364,122,615,399,415,485,913,001,426,296,284,347,
678,439,438,546,441,731,014,033,334,917,828,760,155,631,583,708,373,978,548,
830,735,617,813,160,995,203,379,889,087,716,607,219,104,123,727,172,537,552,
367,405,991,806,270,143,175,241,459,585,543,963,288,505,497,590,603,781,977,
386,019,859,250,801,450,331,995,672,558,482,955,608,680,492,925,848,815,036,
788,950,887,492,409,684,595,628,134,374,431,463,085,498,201,276,271,022,194,
385,921,100,994,717,307,292,427,210,817,286,125,421,734,396,158,629,994,997,
697,871,079,510,604,298,964,810,857,125,105,467,400,804,238,316,971,358,069,
755,091,885,764,642,041,067,046,247,664,944,851,791,202,091,169,454,770,525,
698,050,345,393,471,014,598,985,542,144,518,331,783,723,832,860,450,652,484,
894,973,337,808,101,628,765,764,687,578,984,893,729,412,157,200,164,976,712,
800,969,326,026,361,223,390,567,957,573,885,536,705,472,427,988,575,135,249,
122,833,382,502,648,928,759,098,125,199,255,542,944,967,748,569,816,754,464,
130,131,003,931,854,297,484,481,791,555,476,604,882,240,861,320,752,971,511,
502,744,943,203,237,317,512,213,028,111,467,918,606,489,603,827,218,934,303,
734,065,528,235,848,705,648,836,395,213,316,811,266,190,195,229,589,613,426,
233,662,511,626,282,028,285,855,991,252,210,520,500,228,585,191,474,235,862,
918,141,158,434,486,719,283,747,688,494,495,466,093,787,231,712,850,394,279,
476,626,111,292,727,409,459,447,189,927,764,474,197,100,373,996,850,547,457,
506,568,863,663,196,579,895,488,840,979,237,817,550,907,413,738,094,925,471,
690,852,211,722,514,232,634,669,194,909,676,257,174,771,831,332,403,261,497,
546,618,449,474,230,405,492,365,059,859,618,738,120,141,598,615,082,109,308,
754,060,115,767,630,338,745,374,563,352,771,693,316,095,705,313,864,350,668,
523,814,651,011,711,671,658,784,507,565,209,304,106,158,342,222,521,873,678,
567,016,832,688,424,054,873,251,210,248,077,245,962,569,798,060,314,659,950,
099,475,637,783,776,793,634,238,025,977,250,934,824,032,771,729,717,477,069,
804,228,031,218,385,863,989,254,315,366,826,646,271,850,959,064,821,357,065,
075,398,614,880,584,916,680,107,127,380,145,030,292,015,832,719,542,042,020,
990,276,166,231,557,460,569,030,771,529,662,845,075,283,281,691,369,094,497,
550,921,462,079,178,484,263,494,272,038,802,480,448,501,141,611,669,683,932,
938,458,539,735,315,731,447,934,026,916,951,987,795,572,971,231,127,902,008,
538,715,478,827,182,818,971,422,733,671,977,274,470,019,577,274,824,673,118,
888,040,924,190,537,282,608,627,965,794,993,629,754,488,974,388,144,676,043,
820,017,226,997,454,532,050,551,813,032,422,185,847,350,468,062,282,549,696,
579,316,277,315,586,886,049,679,294,063,547,252,307,837,781,630,625,198,945,
022,214,976,122,617,230,535,244,824,317,832,689,987,701,153,034,032,304,476,
714,255,429,769,599,537,193,096,230,519,378,141,499,581,447,591,044,943,000,
821,690,133,109,949,331,925,294,199,108,585,477,153,364,027,415,592,750,048,
830,486,940,114,236,408,885,254,562,408,228,742,192,609,292,008,159,393,360,
925,921,168,478,588,076,285,962,974,503,064,521,445,947,765,241,808,928,886,
234,799,996,483,039,775,107,047,705,175,903,824,876,278,655,205,419,419,869,
687,870,123,058,341,071,465,645,956,999,871,702,471,621,259,726,228,885,780,
520,727,503,482,135,779,795,642,455,525,950,794,023,068,587,158,521,757,576,
693,305,171,357,746,846,596,237,513,328,485,728,303,196,596,443,925,689,860,
283,719,968,047,996,687,610,695,891,290,384,003,455,891,296,197,874,946,251,
638,273,919,643,451,811,442,508,659,986,066,660,055,185,588,474,522,351,382,
037,196,555,143,147,913,512,859,409,513,760,697,891,983,236,623,352,029,290,
489,054,626,325,958,626,193,073,340,570,761,898,026,713,338,408,083,748,863,
297,534,779,733,182,003,850,925,847,207,425,271,102,602,164,711,402,996,450,
379,512,658,648,792,296,666,086,028,515,310,286,335,282,654,793,916,679,563,
496,199,152,175,074,941,641,515,746,253,226,939,684,464,993,925,711,965,497,
687,772,970,823,636,562,645,347,709,120,618,237,635,525,180,474,067,260,199,
961,310,248,206,432,069,959,161,994,076,459,042,034,114,491,479,956,503,168,
513,805,680,760,129,859,058,056,661,312,636,697,134,561,100,332,114,426,717,
492,173,067,695,952,706,994,214,764,944,319,577,202,276,182,100,044,942,408,
324,998,887,041,197,354,160,112,956,344,341,069,882,124,906,405,708,704,302,
302,760,696,036,789,758,335,050,322,100,887,195,094,811,318,947,080,827,564,
428,865,491,096,689,025,043,610,893,798,203,791,000,171,509,366,961,096,546,
324,505,866,532,166,623,876,781,421,602,027,038,470,160,010,956,522,656,117,
942,925,908,471,457,675,044,689,646,147,057,746,954,002,115,510,829,342,456,
472,027,393,327,627,390,111,025,059,161,939,135,750,079,778,418,588,486,908,
989,464,434,466,228,356,476,643,388,642,065,544,878,376,994,350,112,335,496,
477,767,666,337,582,310,110,754,216,429,183,524,411,263,515,382,585,471,552,
542,064,252,884,906,692,838,390,733,274,638,878,527,620,466,739,274,952,152,
777,044,656,716,128,887,595,539,976,985,763,258,882,442,250,541,649,386,508,
451,264,267,628,102,387,976,641,443,946,482,202,559,776,278,771,396,201,386,
755,281,674,138,590,192,742,696,216,177,124,979,635,726,500,881,506,459,011,
284,408,077,769,041,258,878,397,571,614,212,245,873,920,092,208,293,488,567,
646,267,813,469,029,225,710,453,537,250,426,449,501,086,643,127,627,762,963,
881,497,697,536,509,972,785,641,040,937,079,540,021,303,177,041,645,089,000,
991,640,071,596,720,263,075,193,710,862,357,456,842,036,861,192,904,928,518,
730,147,627,313,905,112,082,954,927,325,790,982,762,759,296,441,851,422,258,
331,177,842,968,925,090,454,538,986,202,478,547,086,785,083,133,300,485,538,
742,189,460,003,852,900,607,847,181,904,201,006,630,559,298,406,764,584,399,
232,473,486,120,158,476,111,761,863,738,429,374,416,888,347,303,934,016,237,
455,471,804,184,981,799,189,246,584,915,552,146,900,804,060,531,654,483,777,
802,776,937,195,643,061,495,220,122,577,716,474,919,794,451,197,380,431,981,
552,176,497,327,485,390,667,828,964,871,385,974,202,390,795,234,116,540,037,
242,267,227,266,221,647,555,660,666,209,716,935,217,032,277,718,244,801,997,
678,322,320,974,453,773,181,004,888,828,206,518,805,910,643,223,116,848,255,
190,253,444,974,174,010,902,911,068,080,485,257,959,960,190,812,765,494,906,
257,424,931,600,816,198,126,945,373,127,051,749,335,600,544,174,194,212,927,
790,745,918,585,610,379,630,483,090,848,201,051,046,828,311,283,882,588,143,
351,270,832,141,726,704,782,408,209,343,951,751,414,701,417,793,796,828,553,
458,880,830,156,679,599,594,184,152,405,882,460,094,787,103,141,361,974,563,
798,010,347,348,489,136,638,176,243,633,223,348,288,973,079,205,231,722,552,
079,994,381,322,731,077,856,369,697,145,597,888,732,592,193,317,428,281,085,
985,293,557,395,082,638,033,489,636,395,311,506,836,696,153,195,585,777,031,
367,726,016,444,441,852,407,998,493,915,885,742,192,108,122,757,851,653,726,
515,356,019,047,275,098,432,676,156,122,266,438,931,536,319,371,583,585,583,
230,410,506,464,862,275,001,891,021,738,731,919,034,124,854,034,914,571,605,
557,740,612,231,983,093,879,958,298,077,512,082,813,310,450,596,364,826,224,
755,016,175,376,411,528,685,201,441,545,919,279,806,838,813,966,858,609,733,
286,628,571,037,768,863,248,658,533,923,662,172,077,131,773,769,809,272,147,
549,311,983,984,614,437,368,391,723,510,287,004,385,939,363,664,857,062,292,
493,725,950,032,230,459,847,252,510,987,242,451,107,877,443,902,453,405,190,
183,323,469,839,583,490,548,426,620,853,130,254,786,272,661,457,315,984,559,
129,937,707,048,705,259,767,711,029,707,071,388,825,662,604,245,723,919,312,
348,214,144,771,232,234,146,511,123,921,043,694,926,876,675,457,488,290,552,
330,797,848,183,961,919,419,162,546,901,229,498,407,992,016,631,167,594,134,
240,665,315,309,939,760,532,551,344,324,615,905,523,709,445,622,171,838,470,
868,839,245,583,157,641,357,462,812,103,428,146,128,017,760,385,539,800,759,
513,634,878,545,103,898,284,401,132,036,729,271,964,956,399,489,702,829,318,
262,952,828,213,586,805,723,579,778,737,733,036,880,432,930,860,959,004,047,
492,294,919,739,382,733,884,118,027,177,913,964,409,661,650,410,598,152,732,
129,768,018,168,610,236,737,830,602,316,808,587,141,350,158,328,524,632,283,
045,995,282,332,393,418,270,085,384,397,689,116,197,558,765,510,056,617,153,
924,366,032,648,846,042,107,643,269,746,506,418,651,239,936,615,217,085,573,
906,748,339,294,950,936,049,438,453,043,152,598,044,830,972,524,331,537,782,
163,768,505,463,097,910,350,295,833,830,485,224,471,604,444,073,245,726,607,
220,429,981,783,742,813,698,478,630,493,877,139,127,999,977,092,954,627,860,
400,257,578,341,075,950,759,439,916,964,393,848,428,737,978,236,889,010,783,
156,408,136,394,243,489,257,692,570,524,816,101,111,105,960,010,792,456,286,
032,692,683,127,489,765,360,292,761,879,513,056,342,350,264,916,650,357,331,
610,832,003,577,957,788,101,850,490,970,029,700,619,673,256,152,451,713,095,
595,737,691,163,168,177,848,250,200,692,576,300,746,177,037,240,696,527,697,
561,941,553,016,610,316,315,967,251,701,176,672,670,569,510,689,693,520,683,
993,737,784,400,765,708,256,219,465,763,780,383,966,559,706,709,041,745,650,
445,799,574,936,955,830,346,464,659,519,825,232,238,622,002,143,476,063,893,
556,696,500,771,603,216,881,102,468,709,141,402,508,414,045,315,760,620,941,
670,458,868,575,882,666,803,478,225,767,874,795,173,714,855,261,710,848,523,
730,221,713,538,612,979,578,396,900,455,615,337,796,819,613,085,505,361,050,
980,101,348,197,383,401,554,292,392,731,833,362,117,864,418,976,565,598,162,
095,849,520,029,556,740,160,720,137,545,980,234,836,984,440,050,953,577,460,
562,456,140,123,576,250,195,605,415,763,669,737,827,539,060,254,664,440,418,
578,850,291,262,456,829,332,176,279,262,633,944,967,868,195,046,640,276,051,
775,240,375,292,668,284,937,232,043,648,109,213,349,185,460,772,202,961,028,
195,410,257,845,231,839,819,731,753,708,020,116,430,803,608,755,118,447,209,
951,852,530,518,448,672,931,701,929,623,765,357,664,391,622,454,173,302,188,
908,682,769,398,101,754,733,551,761,388,003,117,291,403,142,048,899,872,043,
427,640,714,167,400,511,798,621,640,387,954,748,263,213,359,663,054,068,523,
780,559,105,982,413,627,157,140,710,441,484,807,914,360,482,721,809,574,340,
379,812,302,857,982,862,385,802,703,370,129,625,895,599,882,154,592,603,576,
960,921,596,660,135,053,169,878,271,052,596,997,094,861,445,623,845,297,672,
545,612,101,466,576,724,903,860,621,968,049,335,846,962,803,009,078,899,359,
702,632,137,568,400,940,526,378,920,986,348,052,084,708,594,407,437,706,740,
970,730,983,694,266,617,026,085,264,259,935,206,250,544,218,928,744,237,180,
053,407,986,996,659,852,795,861,995,735,775,520,987,765,730,051,146,925,671,
907,865,230,389,091,844,162,321,934,310,518,452,641,812,759,941,482,714,906,
007,511,814,309,248,839,447,318,224,733,506,530,358,117,117,430,629,791,599,
645,212,567,343,096,134,769,354,373,070,386,808,184,013,353,636,842,423,334,
739,405,291,146,388,800,846,567,827,797,601,270,646,601,967,958,337,975,453,
009,298,366,919,106,793,596,476,839,048,324,705,233,708,647,147,102,047,709,
856,502,767,997,977,202,401,793,675,793,403,694,064,767,563,907,215,829,924,
758,864,044,544,467,622,316,684,907,662,480,756,393,052,520,761,443,966,506,
031,086,791,802,049,038,490,749,216,906,971,796,764,794,089,020,609,903,793,
450,421,593,618,528,973,554,005,243,435,448,320,328,709,028,832,017,218,831,
122,811,180,214,655,384,134,567,576,711,942,660,413,589,571,447,297,439,632,
292,932,227,777,451,632,088,743,007,701,324,413,082,096,676,522,978,763,269,
119,012,487,460,975,395,179,621,227,122,640,235,620,861,154,841,229,321,671,
720,513,627,015,250,127,036,209,623,018,863,355,832,932,374,161,569,513,363,
230,493,726,021,460,157,422,830,401,692,195,980,004,112,254,689,581,448,597,
246,101,906,415,929,577,063,572,683,449,210,938,388,183,497,852,227,064,865,
630,093,015,313,992,504,143,899,349,079,599,812,641,790,651,005,224,649,766,
133,230,676,417,661,913,679,448,917,061,539,677,288,650,696,298,789,596,241,
253,174,512,603,964,616,938,397,845,603,304,029,669,873,307,549,545,097,159,
727,926,683,298,301,444,379,794,751,319,289,571,098,838,477,773,620,884,791,
945,310,852,633,425,031,156,047,898,620,060,307,598,553,176,154,565,359,405,
174,324,536,104,663,388,608,393,314,188,321,185,116,053,688,186,412,416,519,
249,485,637,426,242,652,008,278,497,541,325,021,123,260,955,433,479,786,236,
228,531,915,960,105,665,981,298,131,214,888,388,460,732,253,285,427,360,087,
755,655,016,311,313,336,813,578,156,233,206,214,985,006,705,604,073,131,222,
054,228,057,809,264,343,596,658,597,079,832,061,019,578,244,257,593,820,371,
384,076,147,516,863,676,412,541,655,215,247,024,761,123,007,801,413,624,267,
878,977,699,123,224,106,599,342,297,263,977,670,145,790,565,303,990,438,652,
584,825,304,375,413,991,250,687,297,628,793,463,268,323,288,912,015,226,797,
609,837,236,451,550,744,059,587,031,321,326,053,670,206,572,967,637,449,807,
778,167,819,226,363,522,255,813,347,519,356,785,514,134,867,617,639,911,751,
997,705,098,063,492,202,578,268,990,982,163,122,311,342,078,608,285,750,791,
116,188,150,031,410,600,896,791,699,392,864,600,341,358,470,487,946,973,366,
821,090,038,408,761,408,998,069,131,262,761,938,253,233,546,072,972,854,480,
662,380,516,363,556,922,434,812,292,048,767,701,246,322,224,073,053,164,292,
706,072,408,497,350,535,448,302,048,526,875,445,105,825,651,538,195,799,047,
723,974,721,687,520,383,715,187,759,306,882,893,244,613,626,142,660,656,468,
407,762,320,187,301,272,150,862,889,478,776,274,453,689,330,631,084,909,062,
899,426,319,424,003,125,940,721,696,369,680,868,098,718,839,526,902,772,549,
988,709,515,420,147,097,330,900,701,073,685,765,857,820,704,982,606,453,594,
709,598,895,798,510,344,994,417,764,987,532,233,730,212,385,773,036,591,001,
401,545,870,170,272,328,277,054,225,517,519,072,095,801,702,554,758,574,704,
875,446,307,941,586,708,020,731,331,885,918,380,326,434,525,114,649,123,446,
302,625,183,849,633,428,515,624,124,748,214,234,932,278,785,338,942,784,716,
009,635,206,528,095,890,780,297,689,067,722,122,829,922,461,024,766,660,938,
425,636,627,524,710,630,084,900,829,816,878,874,568,644,010,608,993,468,656,
665,199,269,648,812,818,987,832,812,625,037,152,490,796,982,409,527,737,449,
565,151,070,975,233,938,684,561,734,907,479,949,548,269,755,324,854,432,890,
622,774,908,952,061,476,204,716,115,719,523,952,415,425,704,221,035,743,957,
086,403,298,257,626,858,755,908,775,848,364,776,835,016,636,077,767,606,549,
968,510,722,989,008,358,765,615,456,701,268,766,996,314,474,322,453,446,893,
692,667,009,494,132,295,778,191,333,426,551,789,930,756,384,758,445,321,727,
434,593,014,505,605,923,348,087,972,850,048,745,359,846,011,791,058,894,349,
989,416,265,279,956,881,618,825,764,004,600,541,932,780,588,221,481,017,904,
719,400,892,120,920,206,209,184,196,313,493,598,937,114,820,220,918,529,682,
428,431,256,409,785,469,638,983,175,978,683,041,676,947,901,074,598,301,460,
003,210,226,877,746,738,651,348,484,962,845,378,881,876,737,842,651,838,820,
807,892,260,693,199,307,210,624,895,210,413,849,086,641,768,457,669,447,954,
727,098,680,835,774,291,240,834,225,034,377,257,503,548,178,988,012,399,586,
811,258,108,820,460,475,119,306,173,819,245,718,513,123,845,931,372,877,420,
903,411,664,428,680,370,650,316,594,160,425,109,884,623,046,031,713,228,471,
323,371,126,301,962,155,691,628,500,917,751,455,508,111,327,528,502,924,381,
348,164,163,632,260,801,287,591,517,695,822,037,820,218,613,064,218,279,436,
146,778,263,319,838,986,281,849,419,544,725,527,780,972,508,102,891,622,280,
848,945,967,053,296,396,645,687,013,952,615,124,689,377,730,498,187,923,644,
798,620,672,712,686,735,841,880,748,279,869,545,590,670,533,567,993,440,240,
882,238,364,018,127,930,673,626,931,826,468,878,407,963,802,652,963,674,375,
287,941,492,017,654,562,861,730,536,540,853,523,136,277,934,790,405,706,118,
843,071,818,413,504,616,172,704,339,328,511,172,873,412,277,672,521,422,629,
847,355,508,425,805,036,701,381,593,064,369,930,474,240,900,065,173,987,656,
107,598,269,270,988,674,421,046,971,557,288,750,344,206,108,160,678,546,927,
272,437,284,650,099,583,634,557,304,635,875,914,769,260,199,811,455,897,407,
974,846,828,864,635,913,253,541,481,657,865,686,054,576,419,983,856,614,701,
759,471,686,293,312,336,407,607,255,644,234,037,300,674,703,877,778,654,852,
861,445,270,040,320,034,937,563,216,475,965,086,726,224,803,336,513,026,872,
360,224,696,321,144,194,010,110,353,221,403,154,112,898,046,221,166,737,109,
372,865,509,842,022,646,397,239,706,466,556,559,713,834,724,453,700,399,819,
500,670,160,078,128,629,874,134,593,097,945,041,143,726,388,152,395,016,092,
033,558,437,896,220,154,948,085,739,591,616,183,306,025,177,572,530,083,879,
295,623,957,519,292,231,826,599,949,181,522,232,854,976,076,972,338,821,346,
742,774,790,197,920,450,973,882,235,834,329,867,336,799,370,989,037,288,605,
400,460,279,321,572,801,162,495,283,415,833,045,983,143,803,088,076,287,959,
384,707,278,023,428,906,746,029,209,085,429,274,144,324,873,151,010,368,194,
715,201,702,168,440,805,296,874,255,875,215,201,814,229,524,272,392,907,183,
854,305,971,963,598,240,456,231,337,236,672,665,758,568,401,440,425,596,280,
626,812,646,457,472,972,443,995,007,051,192,262,968,434,711,596,307,153,746,
727,454,653,177,350,987,159,352,818,612,186,090,547,445,611,198,117,593,812,
555,187,766,878,452,676,649,497,410,553,125,113,527,545,926,890,335,986,831,
308,053,618,173,616,620,089,364,728,662,991,723,594,245,108,703,269,266,723,
298,683,319,272,686,324,135,626,193,169,054,640,143,648,904,164,560,257,625,
693,273,137,467,763,863,542,357,073,420,872,772,697,905,129,352,451,519,469,
076,298,207,499,822,794,992,722,403,576,498,503,271,069,008,249,573,408,641,
352,166,511,544,221,922,247,826,780,152,631,854,936,020,032,023,901,239,308,
925,623,243,765,773,136,785,446,380,358,947,400,821,917,515,803,724,633,885,
450,580,330,974,887,871,857,550,648,226,831,130,291,173,557,084,373,230,298,
646,647,122,118,496,351,560,175,970,372,879,302,843,457,818,827,388,571,290,
941,402,675,038,782,399,273,743,437,933,313,902,097,813,713,773,202,775,745,
736,421,431,646,533,491,676,981,343,047,137,875,293,239,909,182,739,119,871,
726,750,441,886,959,041,277,592,085,847,533,663,878,326,326,444,729,041,028,
801,341,011,950,292,707,096,045,620,359,373,131,485,951,754,118,966,161,463,
288,179,210,396,263,217,347,384,812,449,044,851,553,033,490,474,631,149,352,
935,587,397,965,589,424,216,235,074,926,475,684,915,504,696,157,567,760,256,
121,701,504,332,432,407,127,755,900,835,987,094,913,065,010,916,001,179,068,
292,787,157,538,736,230,802,880,090,573,415,384,282,446,252,624,062,211,823,
788,519,027,302,120,158,597,606,112,366,285,238,583,235,275,387,510,858,578,
788,997,782,983,678,937,571,661,569,958,093,352,453,268,981,656,392,823,904,
047,921,389,061,288,925,082,264,802,743,981,342,704,510,721,351,045,360,699,
949,138,516,376,763,029,756,506,263,613,843,698,647,486,886,256,761,687,922,
424,908,051,525,951,863,135,111,179,997,891,620,119,243,622,255,336,617,940,
072,002,457,619,679,243,026,124,307,561,330,792,432,871,196,763,715,699,354,
931,157,311,586,454,000,344,700,339,635,257,016,434,053,657,606,411,857,816,
755,750,591,156,698,529,678,651,054,046,521,170,140,459,849,610,222,851,034,
215,747,994,559,124,539,009,630,282,023,422,215,985,084,448,151,314,155,209,
644,078,869,709,825,219,257,921,065,630,711,559,291,736,098,769,314,837,014,
654,819,047,113,877,994,859,816,723,540,095,267,727,305,485,839,576,108,489,
393,386,388,790,619,324,496,556,801,530,132,004,393,861,325,313,718,846,030,
296,458,320,766,646,917,836,507,955,039,643,335,964,645,584,261,848,475,778,
375,848,960,380,959,277,366,744,526,128,112,396,373,387,306,634,310,776,241,
815,121,900,034,382,221,248,845,894,002,100,831,623,339,189,875,242,600,015,
800,904,874,819,747,941,573,526,479,203,474,213,963,770,897,720,149,970,739,
470,249,084,094,096,874,317,706,672,804,976,657,229,488,411,868,863,095,430,
406,421,884,283,486,127,314,503,662,371,680,084,080,834,533,939,006,252,037,
070,404,675,249,594,074,628,783,733,048,388,369,086,075,832,663,066,856,493,
441,937,721,192,066,012,663,540,693,105,534,018,010,145,698,024,549,496,198,
282,557,920,039,316,334,597,533,259,252,213,970,732,073,069,018,195,556,587,
519,728,575,671,422,295,480,385,348,130,612,748,507,707,254,307,308,622,640,
743,307,736,851,102,399,143,069,827,848,559,137,180,747,199,027,920,394,041,
686,275,039,399,298,631,651,179,619,232,497,727,902,016,470,799,232,070,541,
319,782,587,311,335,611,564,924,993,432,543,539,392,266,172,161,704,067,507,
698,975,770,988,339,729,931,707,889,713,989,675,623,865,562,143,364,216,993,
406,484,435,016,116,604,417,326,010,682,501,410,090,533,491,006,710,271,768,
794,231,659,951,584,325,793,571,248,744,451,225,312,723,687,175,865,235,665,
683,428,681,060,567,187,087,479,840,743,137,498,426,916,194,295,145,205,326,
085,307,775,212,609,909,013,705,762,511,650,654,392,234,798,368,725,263,341,
683,294,722,046,167,298,669,237,169,280,660,783,473,904,098,343,067,677,828,
828,439,565,850,830,594,876,145,170,112,957,431,812,143,745,752,527,876,810,
501,885,489,357,300,236,170,763,558,421,390,061,394,799,202,033,920,198,607,
945,197,540,587,891,969,081,985,161,531,917,399,677,561,516,574,040,855,798,
531,618,599,898,165,200,401,695,083,625,861,558,176,758,918,562,530,575,278,
554,401,705,359,339,097,946,859,131,949,619,230,726,672,266,813,540,756,734,
835,293,402,516,086,065,809,571,137,089,158,767,360,008,399,835,648,886,615,
550,639,380,199,147,214,185,251,357,546,741,507,242,539,749,459,223,719,051,
352,034,953,268,235,716,379,573,625,012,209,238,704,492,382,019,057,067,976,
062,746,805,938,463,482,298,277,226,708,550,201,115,855,376,466,337,215,525,
459,191,027,401,854,260,745,161,881,120,922,263,159,669,868,534,106,733,237,
669,591,855,453,882,827,330,969,850,573,261,894,733,448,605,017,130,808,270,
103,512,581,794,571,570,858,233,687,801,648,264,363,587,332,228,536,967,739,
525,701,853,801,254,313,347,323,593,711,338,111,161,295,705,122,268,774,061,
194,863,973,446,859,686,014,921,156,854,295,008,089,659,543,071,793,074,078,
265,348,490,550,886,794,422,746,644,494,725,253,855,475,814,291,147,021,592,
602,257,637,257,508,076,801,770,984,005,850,155,943,877,324,769,730,255,123,
653,066,737,071,434,893,094,358,653,689,577,921,593,405,771,200,771,826,768,
955,023,445,182,165,858,412,358,532,104,510,077,477,775,125,226,216,816,218,
897,201,969,851,969,342,259,357,640,353,522,099,386,932,637,283,482,067,191,
273,726,986,306,416,899,716,112,206,872,980,505,058,266,070,826,197,324,713,
203,376,262,824,416,682,603,293,912,153,544,536,994,215,159,171,341,539,736,
029,717,167,880,974,921,364,010,233,417,867,321,919,576,652,931,533,204,950,
212,828,044,591,706,241,547,053,126,833,520,983,228,956,567,622,256,514,729,
602,148,341,115,988,407,681,850,865,358,311,307,771,629,941,346,311,708,765,
330,505,728,669,916,379,696,200,003,841,772,514,346,715,123,789,574,540,519,
107,996,242,597,816,383,377,975,997,042,332,388,048,963,309,863,877,971,646,
429,879,245,689,234,430,571,509,445,675,164,815,781,368,092,570,563,000,080,
621,645,289,189,399,951,991,553,248,713,529,695,641,908,500,563,506,374,883,
236,498,360,140,066,604,055,035,188,540,730,235,127,720,286,383,918,428,569,
020,307,251,845,724,417,782,246,778,153,769,041,480,821,976,194,729,746,144,
181,905,840,282,702,471,169,535,794,220,980,264,600,727,211,947,506,596,725,
585,615,607,257,512,741,855,495,903,556,969,690,614,468,105,340,998,672,195,
665,748,157,203,559,067,805,729,949,678,186,930,486,109,132,347,862,464,830,
195,711,117,992,004,012,995,911,024,516,610,933,150,577,323,304,769,196,555,
193,638,036,401,560,875,426,357,724,515,168,691,367,354,173,618,589,844,380,
566,088,243,749,823,727,048,571,596,836,772,754,974,891,808,062,545,154,616,
989,476,735,934,321,891,011,562,802,714,310,586,762,498,319,145,623,804,217,
957,846,559,855,467,840,184,442,140,136,982,746,256,338,399,635,381,332,938,
066,099,394,109,074,979,909,350,730,577,557,049,442,316,402,624,676,881,197,
348,601,216,566,283,312,644,021,461,030,048,149,255,875,749,027,731,454,764,
593,389,769,825,543,834,247,271,539,787,994,979,790,081,148,651,855,008,848,
844,082,829,282,612,531,225,271,919,571,426,656,056,709,147,795,304,193,250,
110,554,804,222,353,509,066,803,024,210,034,495,178,162,491,922,960,704,871,
938,625,486,908,588,086,724,876,505,234,445,316,749,460,827,318,035,498,979,
219,818,459,189,418,986,660,043,975,991,367,178,221,111,608,580,837,171,863,
522,412,780,573,879,774,230,736,020,185,720,973,507,776,461,577,837,108,597,
822,826,567,297,212,171,437,450,247,447,960,911,546,061,197,701,284,884,816,
976,890,911,987,663,983,933,942,584,549,064,854,030,598,985,069,393,626,767,
820,803,887,885,100,102,947,790,097,278,098,225,632,713,208,815,691,591,334,
618,801,239,998,308,718,847,625,592,473,572,041,273,834,000,334,699,632,275,
458,668,570,005,842,953,048,984,083,982,924,988,407,452,681,670,709,823,268,
264,787,325,517,740,515,696,040,657,477,292,306,323,169,824,905,948,032,821,
710,439,164,049,458,006,543,870,253,232,869,358,669,241,908,200,606,543,064,
595,539,860,059,721,473,352,148,325,918,470,244,346,245,310,717,147,785,203,
831,438,600,723,198,162,997,102,244,231,996,429,553,551,509,632,776,204,130,
372,237,418,410,214,855,555,477,774,684,126,303,416,874,581,819,430,529,593,
298,681,343,795,133,477,177,951,599,777,713,170,813,113,806,087,316,116,780,
146,247,406,528,100,136,351,584,878,578,113,881,972,598,080,497,041,827,846,
000,962,230,366,735,524,837,562,454,540,415,929,938,870,331,947,016,498,815,
266,336,704,775,651,041,114,086,695,066,045,618,845,877,830,453,668,301,031,
759,500,385,701,263,263,535,284,401,150,717,120,585,562,123,568,160,678,692,
980,423,294,699,854,747,915,588,160,039,594,126,620,606,474,065,820,043,101,
133,874,594,612,214,843,584,804,949,363,069,558,035,512,273,261,077,978,794,
656,325,335,054,876,008,529,015,401,848,822,741,338,421,799,115,597,801,124,
219,701,662,365,018,499,148,772,804,419,717,619,235,708,322,909,860,850,957,
156,864,687,930,350,438,646,175,766,428,324,866,346,929,578,424,786,457,922,
222,480,620,295,837,039,156,653,436,627,250,679,245,226,767,971,931,846,249,
420,644,973,978,559,350,463,338,571,287,058,894,652,297,293,876,898,884,151,
422,399,061,780,704,000,878,015,776,125,991,973,785,798,358,291,969,826,835,
812,881,902,575,122,299,173,169,549,498,834,119,952,752,549,843,826,614,421,
682,877,942,399,554,201,240,240,820,787,722,210,632,448,925,281,509,200,629,
253,414,267,913,817,560,696,827,868,224,720,689,808,392,574,849,717,685,810,
236,835,366,032,717,844,513,711,882,577,724,539,912,365,135,578,456,357,847,
302,706,993,434,084,540,238,969,533,833,664,407,552,575,153,059,171,997,120,
380,705,835,270,539,897,130,153,364,579,930,109,970,323,977,002,825,587,638,
659,631,918,424,433,226,798,880,891,314,577,114,443,945,884,585,299,465,271,
347,258,735,599,558,345,953,712,720,008,827,030,629,210,203,634,274,262,650,
565,929,656,050,507,398,605,980,995,017,342,326,207,509,257,276,676,048,443,
108,866,956,976,235,025,409,740,294,677,196,567,506,169,655,277,606,083,256,
173,639,186,630,581,325,607,777,390,719,612,338,837,517,874,749,391,716,179,
482,758,063,025,078,029,921,790,739,444,907,826,304,123,343,520,389,237,906,
220,152,571,854,474,810,455,252,694,926,671,039,627,238,870,340,737,307,761,
027,046,931,049,945,812,621,409,229,829,233,716,365,225,742,836,438,362,097,
598,953,880,164,890,140,458,377,051,077,808,575,900,096,967,692,875,050,724,
326,735,836,094,018,486,082,006,364,164,311,494,971,724,104,129,213,717,445,
650,346,044,990,357,923,418,881,304,343,711,375,935,952,999,852,166,847,156,
650,585,583,007,155,243,872,767,199,720,940,632,045,641,439,427,253,421,784,
151,555,550,404,757,371,784,141,215,405,140,607,264,696,347,481,291,723,948,
297,011,648,305,285,139,717,398,857,270,182,701,777,168,229,039,671,351,891,
413,610,602,822,862,106,272,500,932,618,102,490,970,179,990,021,661,219,824,
885,483,077,055,966,704,152,928,001,597,239,800,551,940,655,575,421,700,252,
777,250,341,183,434,676,168,603,441,831,073,133,656,504,207,139,094,095,024,
637,965,078,377,338,197,039,286,531,514,755,608,381,616,309,706,589,245,111,
677,710,532,110,823,258,697,850,872,802,176,946,201,083,477,664,627,522,279,
546,770,304,749,979,499,517,942,773,288,203,596,457,081,055,628,085,161,307,
047,818,010,061,005,552,786,397,966,719,139,427,539,616,421,807,552,156,056,
078,648,270,393,095,935,966,007,026,077,678,732,208,976,351,763,480,206,133,
777,228,398,837,062,274,975,509,319,657,020,015,896,408,090,468,596,439,520,
949,324,899,709,479,422,008,722,380,281,885,739,670,403,568,790,695,003,075,
056,885,256,343,177,717,567,880,304,506,141,101,021,162,971,363,334,445,582,
318,467,431,154,691,227,446,149,871,863,556,717,788,315,210,330,019,166,446,
277,413,916,290,065,924,172,981,449,580,553,257,884,631,272,612,895,856,683,
351,122,397,104,201,351,947,753,406,696,753,608,424,324,496,907,305,663,679,
923,632,496,134,699,924,459,944,782,515,745,677,504,190,729,545,614,641,325,
666,659,876,039,105,696,228,665,817,029,185,115,779,340,880,825,829,016,080,
010,653,487,812,852,947,899,286,103,847,144,533,639,619,132,140,604,379,394,
939,781,444,513,544,376,170,712,002,465,888,522,462,728,460,522,513,330,888,
868,273,303,759,908,102,964,280,143,102,371,543,976,550,993,660,779,660,035,
868,261,686,630,009,873,489,530,043,819,418,806,474,730,690,063,669,565,007,
238,742,967,304,294,359,172,714,813,477,185,043,380,993,788,261,043,612,133,
514,024,002,123,036,112,535,690,422,003,388,255,420,305,647,321,685,415,395,
081,504,648,620,713,977,785,824,104,820,101,046,637,995,742,978,883,559,503,
233,150,645,679,262,786,927,430,871,641,949,101,777,586,388,429,071,531,746,
345,399,705,780,246,503,680,731,800,393,986,615,686,177,624,026,283,545,533,
491,714,026,338,411,341,548,996,188,696,974,610,647,245,882,525,025,824,560,
061,336,549,032,794,816,445,705,371,439,040,273,023,224,106,966,573,746,211,
842,437,709,786,763,287,186,002,298,664,161,850,387,561,051,487,039,979,665,
991,269,975,443,225,944,924,548,067,540,715,867,388,895,806,118,472,357,298,
911,602,460,901,486,251,030,227,094,103,156,470,392,886,865,963,497,715,764,
270,967,565,371,621,825,454,567,784,480,075,488,862,604,649,902,692,247,115,
143,834,609,849,842,712,807,976,692,744,478,982,154,050,560,139,726,676,637,
322,700,687,925,793,102,098,781,139,406,132,331,374,623,907,927,319,458,874,
730,343,267,367,280,389,842,936,347,656,656,994,380,686,101,466,644,526,116,
753,432,829,940,903,550,626,808,735,718,037,983,149,757,727,906,837,301,302,
216,565,360,824,771,763,474,559,621,042,216,813,055,209,288,736,442,664,137,
905,051,013,030,137,917,468,786,695,002,436,548,865,032,086,193,352,762,183,
940,061,430,820,886,982,315,060,335,366,794,736,688,745,469,328,447,966,809,
173,865,159,108,995,277,840,941,022,961,774,168,082,013,175,950,474,577,837,
704,284,306,687,515,681,111,459,574,790,695,269,260,073,060,359,579,122,382,
781,457,532,841,165,788,829,743,095,255,603,536,402,400,709,618,005,047,428,
010,403,785,471,389,623,891,086,201,471,598,092,789,579,883,727,688,516,526,
524,897,016,355,809,195,192,554,088,574,203,246,909,469,318,610,781,607,003,
227,225,574,537,009,360,535,917,320,959,849,612,093,685,825,735,223,407,941,
938,738,705,090,242,665,856,576,205,036,270,681,941,656,397,098,523,155,509,
027,876,687,138,325,777,770,594,304,193,066,117,280,356,310,238,604,170,851,
401,107,913,731,556,353,895,868,504,147,956,830,894,713,995,066,634,015,666,
291,623,615,127,612,080,234,810,401,952,120,287,695,509,491,090,388,060,887,
604,316,853,651,473,373,307,807,414,689,086,589,616,576,944,161,989,795,931,
750,990,032,078,591,010,950,752,752,437,371,036,785,721,361,541,871,458,145,
893,042,856,186,910,594,918,339,773,249,364,102,236,618,238,225,381,836,464,
536,165,462,347,670,341,333,175,701,454,437,214,573,826,440,541,029,067,775,
554,740,124,890,951,861,012,437,996,883,061,670,746,310,775,325,252,782,780,
230,488,145,320,557,400,585,624,213,513,577,479,040,686,139,615,397,531,483,
514,966,231,653,762,336,013,367,692,189,367,230,895,817,993,239,811,821,545,
357,485,439,914,182,795,507,496,219,816,005,837,893,087,075,081,806,115,461,
244,097,011,382,070,998,316,200,363,776,545,856,604,453,057,470,688,400,472,
498,930,841,965,637,239,317,833,142,664,473,450,747,383,037,996,718,093,814,
758,918,765,640,677,955,695,973,900,107,355,244,631,526,333,122,174,446,565,
481,348,824,838,245,195,991,587,081,115,729,418,736,462,296,088,461,777,585,
749,460,845,808,014,785,046,290,619,076,177,740,269,797,587,234,655,540,557,
565,108,301,758,186,667,478,944,773,324,739,360,050,660,245,053,663,055,481,
178,141,836,274,806,838,644,164,543,072,357,483,374,516,396,043,136,014,855,
939,177,630,965,061,235,012,428,789,211,991,917,898,083,307,459,375,544,461,
159,192,903,903,428,746,216,954,046,707,791,087,976,567,819,785,888,276,080,
257,944,080,030,839,235,632,950,572,737,193,050,428,232,782,101,102,246,701,
543,742,591,207,657,262,854,592,081,721,447,115,404,396,851,250,259,116,885,
924,264,566,054,394,307,241,547,267,236,683,900,428,633,949,465,744,158,740,
103,161,947,315,473,281,210,269,458,289,089,883,185,385,873,572,525,789,686,
406,810,002,095,157,511,184,536,599,084,202,440,554,372,082,319,203,115,142,
991,203,816,553,772,629,211,841,592,475,887,418,400,361,032,629,317,898,911,
417,181,340,333,422,124,572,160,863,344,280,681,112,351,503,241,178,974,465,
260,509,790,733,189,233,758,894,503,685,202,147,776,840,468,311,684,044,553,
140,777,808,802,951,586,481,269,004,989,988,740,970,089,603,434,118,866,718,
894,019,609,647,910,057,389,067,950,039,713,409,586,565,113,195,696,091,942,
740,031,354,408,639,528,644,836,047,268,608,200,453,258,178,010,136,570,549,
660,396,427,094,026,639,707,267,050,059,368,122,497,164,743,230,751,121,151,
451,600,876,756,134,329,402,556,436,785,161,364,022,782,610,577,074,524,841,
729,671,286,799,031,860,617,284,801,775,649,067,190,553,578,760,093,551,167,
854,204,146,155,697,480,393,625,523,044,581,755,318,953,189,498,704,239,750,
093,871,235,060,722,181,641,423,239,775,689,085,271,190,389,419,466,940,391,
292,127,570,007,319,931,411,766,620,783,482,327,429,928,984,447,293,139,445,
020,265,294,726,126,592,315,410,163,860,351,220,408,496,480,618,785,990,414,
600,534,776,328,642,159,439,262,679,750,192,976,029,197,579,207,189,037,983,
317,956,323,137,168,856,912,475,292,455,535,250,974,468,909,586,082,967,256,
470,673,751,436,052,328,486,746,212,741,726,504,152,516,064,260,696,938,409,
656,407,363,078,646,391,306,453,478,487,978,239,961,447,569,469,336,612,808,
904,953,874,350,909,956,018,623,537,375,495,883,307,646,572,570,913,758,554,
794,492,982,601,225,679,717,455,600,419,267,343,209,910,394,777,767,476,540,
524,758,646,226,910,323,497,021,279,267,699,882,236,528,990,807,194,669,224,
139,947,594,064,962,088,356,840,801,223,939,871,788,100,385,376,128,290,026,
960,223,015,191,755,486,011,052,984,705,814,422,194,265,327,389,032,378,908,
107,946,198,426,327,579,139,495,067,997,205,703,572,779,771,147,029,065,348,
384,528,087,437,629,012,328,123,247,295,386,659,212,613,089,088,246,187,359,
785,374,927,936,477,488,644,810,378,579,914,002,736,649,018,155,707,402,101,
206,724,511,554,885,291,139,900,385,398,064,919,240,637,506,714,586,868,854,
539,612,794,590,177,127,920,534,891,295,311,113,305,102,315,364,232,395,946,
871,514,408,394,261,224,452,343,186,730,748,467,515,939,786,465,002,647,157,
234,569,788,812,529,122,282,665,393,758,862,815,552,071,448,997,637,166,983,
621,159,753,266,554,617,685,744,975,983,377,538,802,633,501,467,618,101,706,
610,766,410,100,798,313,458,216,109,102,746,032,665,700,109,321,496,788,966,
203,484,386,782,902,461,137,437,462,875,205,882,074,114,990,392,739,454,248,
069,001,446,969,142,722,549,788,244,049,450,967,320,283,145,433,099,690,299,
020,500,565,567,306,369,020,276,583,547,640,958,658,213,460,056,644,928,386,
257,394,753,216,370,411,849,664,105,434,871,278,036,100,912,986,864,495,189,
143,571,717,047,671,848,992,594,721,324,738,155,511,267,379,539,489,343,142,
296,966,504,525,915,863,261,914,823,905,257,980,940,079,505,358,111,557,470,
604,751,848,462,416,016,182,021,475,628,437,693,192,013,971,511,554,834,632,
733,434,126,974,716,596,139,123,526,858,915,092,522,389,948,564,086,425,740,
294,491,209,513,391,434,956,045,024,617,609,949,595,399,208,596,211,394,256,
789,038,259,136,072,249,428,182,573,914,176,381,324,393,724,813,506,049,501,
086,207,546,351,119,301,272,715,018,847,800,523,242,075,543,182,620,663,254,
026,565,473,970,177,529,886,290,867,401,198,443,476,323,759,396,361,265,769,
461,657,981,569,784,377,145,250,691,762,549,133,735,661,723,736,584,433,328,
889,657,619,297,557,032,552,676,731,920,972,194,198,630,064,963,568,877,926,
296,571,038,954,164,834,761,038,886,407,964,627,218,391,653,193,777,526,239,
967,538,861,584,968,413,821,708,446,884,457,227,809,338,900,336,168,140,781,
872,966,213,048,303,735,043,169,588,444,787,574,307,332,253,357,248,803,530,
726,031,197,006,721,593,420,587,742,821,556,012,864,309,245,514,140,052,069,
935,098,779,750,540,992,233,957,145,961,395,638,281,551,326,251,844,975,036,
048,619,396,970,146,671,606,105,320,135,176,191,377,957,893,385,510,162,305,
388,795,087,031,818,445,537,149,588,957,911,805,795,336,469,968,950,942,327,
961,657,552,628,409,865,530,378,602,092,022,683,035,628,052,660,606,278,916,
999,665,165,445,921,510,410,811,301,053,575,372,407,994,427,758,409,885,848,
808,195,985,668,690,786,089,964,809,111,209,209,930,857,049,589,197,133,997,
177,588,130,035,469,115,963,839,847,392,774,879,232,254,287,247,849,415,840,
566,647,230,749,187,212,462,766,880,404,348,252,154,995,248,988,017,879,000,
444,393,551,541,574,734,127,697,282,954,715,738,943,154,927,847,563,105,425,
454,987,257,708,849,052,351,914,999,112,094,139,085,458,746,593,521,547,396,
265,437,720,231,474,962,650,375,360,294,292,625,702,571,368,274,537,976,668,
971,344,306,293,103,752,850,719,683,230,970,568,806,070,590,948,870,047,515,
015,212,096,441,214,353,694,550,049,561,408,504,152,047,647,540,545,095,202,
737,557,917,968,191,488,175,355,538,385,472,097,068,908,459,829,744,177,673,
762,324,237,780,450,517,445,313,303,683,751,429,167,095,100,273,877,697,751,
430,796,064,151,754,171,157,328,772,548,512,718,138,194,894,911,332,403,320,
185,314,606,302,999,849,217,106,685,895,489,010,491,302,791,324,526,216,488,
774,586,721,170,042,179,576,807,179,813,840,861,451,989,082,559,460,566,521,
166,275,018,042,593,700,794,938,755,346,654,918,935,897,118,742,488,037,470,
006,302,781,733,621,323,679,606,111,381,379,332,512,961,371,077,795,018,571,
909,269,863,438,913,732,171,781,422,488,333,878,066,428,684,703,131,723,421,
706,753,760,101,070,839,863,185,961,439,531,344,786,040,777,098,841,250,706,
307,242,354,806,775,590,969,921,066,298,957,118,388,496,515,142,601,790,100,
157,039,203,421,556,923,941,759,597,235,995,863,364,266,782,576,282,083,540,
798,399,899,624,659,179,916,728,824,639,683,123,753,099,382,768,222,013,179,
577,917,834,183,595,444,929,121,444,465,379,394,452,211,541,749,758,461,252,
225,966,217,313,446,534,661,915,920,924,038,074,738,127,102,516,342,958,722,
459,118,032,372,993,988,032,537,344,392,776,049,832,113,736,636,438,281,039,
419,091,463,166,538,865,843,238,862,440,209,691,565,660,081,450,493,305,399,
253,892,696,244,938,606,550,343,917,617,735,810,222,035,863,846,185,974,321,
863,572,951,339,079,488,940,272,117,153,024,481,210,279,199,927,831,236,831,
673,112,654,861,310,786,259,570,279,739,584,346,771,699,726,117,374,760,584,
183,505,207,676,205,110,521,259,227,865,031,343,497,439,371,268,910,549,151,
656,583,203,837,685,493,737,077,450,972,612,438,940,791,925,686,982,937,563,
166,110,322,658,878,997,246,019,839,762,761,082,496,078,074,826,203,219,788,
184,246,840,602,265,740,369,892,895,148,548,786,313,355,239,891,732,887,317,
395,685,980,988,777,386,913,796,106,110,543,213,421,581,630,137,324,610,605,
931,428,726,950,965,840,997,073,191,209,479,178,514,838,803,908,669,463,539,
070,044,445,109,738,257,793,302,450,097,251,206,072,614,711,913,854,163,499,
688,991,772,517,463,123,527,660,802,263,160,119,478,750,153,254,566,285,978,
703,903,419,999,990,155,938,011,813,394,033,969,000,953,189,471,100,845,153,
992,034,701,101,838,006,493,450,829,895,615,748,089,656,833,585,854,924,514,
485,380,282,874,860,573,848,888,189,611,983,921,473,682,448,049,037,682,173,
560,606,538,410,510,588,579,301,865,859,269,783,454,931,696,149,892,640,246,
791,450,221,680,362,256,278,428,173,660,050,042,244,983,213,729,678,251,015,
529,396,305,133,412,111,283,662,705,374,483,132,079,102,046,031,256,014,564,
847,201,819,014,295,559,141,950,363,204,832,071,375,479,008,718,729,119,933,
197,671,009,719,738,690,491,330,201,102,441,388,121,643,125,900,714,301,335,
094,203,572,531,623,070,454,518,241,743,623,190,520,644,152,588,311,951,837,
562,736,098,053,178,047,160,571,843,208,873,834,052,649,527,693,991,322,179,
164,922,626,034,278,033,409,433,064,014,273,474,302,879,473,843,161,953,354,
199,564,152,510,211,226,156,452,132,391,567,261,802,675,365,260,874,954,569,
169,921,200,076,965,899,678,240,779,756,060,237,865,714,364,494,712,746,726,
016,702,436,671,533,915,654,611,214,788,633,311,011,392,675,103,430,651,123,
072,785,021,104,096,019,579,557,054,977,888,891,159,277,676,669,039,793,569,
113,389,552,958,820,486,280,538,439,684,655,984,533,569,776,744,379,031,030,
956,419,114,682,006,841,155,266,397,483,368,209,374,553,791,534,769,365,736,
038,041,596,630,484,962,347,191,359,055,940,137,189,441,194,545,168,958,147,
394,681,231,047,393,259,058,051,099,798,291,545,036,817,481,585,428,111,396,
799,689,788,076,137,921,167,967,125,306,043,690,760,620,104,100,863,374,917,
521,051,790,243,129,824,215,348,364,178,302,045,484,108,835,390,982,190,403,
890,592,755,873,257,729,275,786,820,522,694,326,184,219,597,635,618,921,781,
817,609,723,933,009,999,360,709,163,764,723,569,303,911,752,364,909,596,946,
470,518,797,331,551,058,954,644,070,565,231,332,296,624,033,142,689,357,659,
125,745,260,825,938,680,174,330,538,441,617,531,852,313,414,928,500,479,798,
730,465,229,285,211,834,794,189,882,219,785,878,998,284,477,057,225,560,968,
206,883,035,920,765,948,753,864,346,568,236,584,415,923,167,724,071,807,855,
553,573,895,650,097,286,329,226,231,334,096,718,670,434,204,062,461,719,066,
858,446,151,603,525,163,483,698,177,038,521,992,759,013,551,220,554,645,008,
604,571,833,962,569,538,603,819,861,758,992,493,062,989,188,791,605,690,692,
487,589,679,608,147,563,526,697,326,725,197,847,412,458,402,102,345,500,724,
466,241,105,246,802,312,305,038,678,270,419,085,176,203,695,245,897,323,613,
011,541,679,230,434,795,441,672,382,276,226,493,221,532,742,305,620,123,357,
269,706,005,617,209,905,378,419,415,703,704,940,830,795,434,617,446,197,079,
813,147,382,733,821,705,992,672,089,136,913,090,527,483,222,960,094,888,724,
299,999,288,183,252,772,004,128,678,798,808,004,402,689,159,341,348,118,851,
023,713,229,962,154,970,546,250,181,378,955,785,179,166,903,371,155,221,536,
805,155,403,834,084,382,010,849,292,880,708,709,659,868,493,118,026,575,772,
480,881,194,098,037,912,265,318,397,664,605,436,742,742,573,249,304,347,695,
607,412,051,902,687,569,399,313,976,107,406,894,014,275,227,136,702,456,897,
146,437,788,461,941,381,272,595,278,329,886,369,840,283,169,910,282,038,356,
667,626,318,215,689,520,690,629,353,851,770,764,444,332,040,188,533,903,803,
963,775,246,472,040,518,181,936,156,993,891,049,764,751,882,379,515,014,738,
708,034,431,563,422,485,800,285,456,388,859,966,719,911,730,592,440,788,548,
802,246,686,539,931,056,552,224,542,936,644,848,134,785,046,588,808,171,917,
382,353,425,162,580,886,305,243,004,466,940,468,016,948,434,021,855,881,913,
661,165,015,143,017,951,398,962,632,497,721,819,362,749,174,629,359,795,439,
665,707,702,300,879,116,489,930,845,933,092,983,990,370,746,572,040,658,009,
549,399,387,913,558,439,573,670,311,965,122,043,613,663,311,570,150,581,530,
452,648,137,601,354,929,670,102,503,801,133,283,978,839,719,250,970,883,362,
925,348,539,608,354,608,861,888,897,768,775,473,909,162,949,018,770,846,410,
510,202,415,677,422,542,080,286,413,541,407,562,461,445,040,695,211,010,296,
925,426,847,282,032,154,743,857,092,091,819,213,322,833,056,303,919,335,218,
901,159,518,901,994,354,581,608,336,449,426,171,571,604,510,638,658,966,562,
597,506,571,078,049,193,524,848,392,738,978,542,169,583,084,516,748,881,706,
423,646,809,960,921,497,586,442,695,076,995,765,765,310,442,855,387,271,953,
021,788,613,877,101,059,150,179,174,300,109,917,729,740,284,202,900,374,657,
646,113,272,453,805,709,721,331,028,144,806,420,566,491,512,916,874,031,875,
761,901,315,403,833,431,625,021,758,446,729,800,261,301,065,597,210,619,488,
671,418,341,120,395,527,163,309,924,343,639,983,051,839,603,901,653,903,940,
879,717,654,649,958,953,358,493,129,926,196,796,689,170,771,632,692,241,699,
618,807,461,264,111,140,196,108,129,353,630,212,497,729,902,371,282,570,002,
983,501,861,544,966,846,927,434,810,404,286,164,483,409,553,558,299,137,850,
235,476,276,655,676,630,894,848,481,555,097,530,547,866,110,437,112,376,753,
724,726,259,869,261,377,879,133,235,512,677,909,222,116,777,803,946,102,981,
302,214,952,250,054,072,972,334,020,974,677,312,188,734,477,549,586,103,526,
820,586,028,552,273,927,192,144,958,629,968,223,589,031,890,058,775,180,120,
305,492,682,913,018,658,527,683,289,031,965,840,936,384,647,193,892,372,876,
195,516,122,493,502,390,391,794,159,113,962,333,773,692,941,233,373,396,767,
982,852,861,911,291,144,927,094,391,103,140,801,774,393,810,838,542,369,482,
291,098,381,858,854,266,081,572,626,604,530,699,518,512,172,190,892,304,056,
571,027,431,178,739,280,976,736,153,198,355,519,013,964,293,354,062,490,532,
361,331,954,628,595,211,633,540,166,292,690,655,677,706,503,954,739,959,788,
670,731,185,194,871,430,242,929,335,189,687,971,503,026,247,040,217,158,657,
360,684,084,615,841,909,821,634,740,802,820,147,546,800,951,497,609,572,536,
156,503,008,178,327,052,357,478,950,852,702,568,094,449,534,364,395,297,770,
433,359,937,791,819,721,573,269,271,946,647,019,261,721,949,812,083,561,425,
784,730,777,904,894,035,369,009,498,695,382,638,707,566,304,246,470,406,673,
583,258,808,099,793,109,546,881,196,991,553,100,819,066,934,256,942,089,961,
132,468,116,644,272,047,858,994,993,305,141,405,499,166,541,671,279,898,779,
616,106,969,727,354,190,986,615,866,629,913,970,767,618,274,691,972,246,461,
267,266,945,207,897,268,473,361,328,658,346,356,697,345,888,125,293,142,799,
472,403,914,669,639,205,322,556,888,859,721,586,332,343,838,110,808,269,256,
682,943,602,684,955,581,074,161,932,438,074,379,932,450,774,895,638,746,946,
187,745,732,606,306,152,941,748,868,094,115,654,891,519,636,026,898,276,166,
520,814,347,854,919,210,210,380,109,608,992,076,010,862,212,952,355,793,573,
131,705,231,400,313,736,429,994,173,884,576,733,476,696,853,838,444,343,625,
612,414,684,078,730,789,210,804,191,922,848,148,139,064,897,969,457,698,123,
887,972,744,707,558,809,247,131,339,796,575,079,383,989,229,061,962,586,032,
209,927,002,122,034,129,736,289,279,646,798,741,422,304,397,236,896,108,294,
076,673,265,889,048,269,099,038,598,745,297,659,398,185,725,594,148,430,017,
040,664,694,610,185,194,370,205,057,988,678,542,946,689,140,990,444,336,278,
769,802,496,121,259,735,026,116,695,875,452,744,062,877,701,153,851,378,968,
103,935,519,866,197,073,164,231,835,496,715,979,404,323,219,925,083,732,044,
085,921,261,242,897,927,407,916,676,489,821,705,480,434,365,791,126,119,621,
838,550,339,095,544,839,176,521,295,254,364,767,103,401,361,682,667,105,919,
516,530,253,110,568,003,195,642,368,101,371,041,310,757,381,147,773,692,435,
316,380,427,952,901,408,466,679,738,117,131,100,345,071,509,315,238,366,360,
399,136,645,026,759,222,247,614,453,560,095,187,023,622,315,209,876,522,465,
547,455,283,284,505,586,242,169,376,465,175,366,600,577,568,503,077,570,564,
645,715,143,367,452,680,304,433,097,683,038,686,881,323,720,782,317,826,714,
479,932,921,147,427,787,587,859,049,273,202,813,226,330,943,147,996,326,210,
346,377,139,736,752,130,513,685,577,092,725,655,791,236,434,984,965,910,279,
784,798,076,098,582,996,252,403,452,981,157,446,424,768,538,890,054,532,046,
979,312,400,086,009,239,343,003,497,591,151,775,274,842,943,348,538,209,881,
198,302,169,259,741,247,418,821,165,774,398,639,442,398,199,303,229,168,459,
757,215,190,157,321,372,563,560,678,563,537,620,715,138,378,667,519,197,381,
902,015,651,542,113,300,071,318,283,027,485,765,514,611,008,804,535,943,580,
325,780,562,733,342,821,392,429,877,847,110,189,832,292,168,033,503,139,961,
074,938,500,457,068,964,099,730,836,379,324,191,777,463,188,432,281,526,099,
908,976,019,774,782,640,883,793,008,297,530,715,544,737,885,782,226,717,344,
117,953,259,665,760,687,202,139,058,602,608,605,528,187,196,716,191,332,939,
337,044,235,652,239,676,690,010,558,682,878,951,059,549,572,652,635,203,463,
450,521,697,252,868,464,908,351,682,433,794,741,902,689,804,409,623,206,453,
360,953,248,618,983,824,677,997,557,125,361,095,290,085,820,408,499,173,128,
024,076,709,358,041,437,995,032,527,083,670,675,535,119,938,406,479,693,985,
470,088,774,857,148,674,681,445,913,359,230,504,476,908,533,095,788,713,575,
341,565,506,702,566,505,907,565,063,878,127,349,702,886,949,626,304,233,445,
547,618,298,267,321,326,119,924,382,694,295,831,267,092,093,129,715,255,769,
375,391,939,425,866,202,146,620,948,604,775,842,972,406,924,098,901,079,390,
834,487,905,144,854,202,814,831,163,920,087,740,963,703,362,186,502,373,041,
955,895,154,296,099,331,098,801,525,585,890,603,743,126,068,237,085,939,410,
903,574,420,338,460,676,058,492,360,675,286,641,760,247,532,438,315,448,673,
247,474,560,568,719,373,854,787,806,252,590,849,383,391,306,013,387,203,378,
536,712,611,659,935,129,256,591,712,182,327,456,176,141,438,712,342,053,065,
834,810,954,453,195,761,527,725,166,036,028,566,537,924,816,509,262,919,376,
128,498,580,647,290,241,322,100,783,074,023,628,973,799,284,261,051,851,434,
580,702,413,845,454,948,814,234,833,165,709,918,788,819,740,440,140,085,619,
367,534,000,526,167,205,448,052,611,343,778,452,406,131,559,623,935,552,871,
482,062,688,457,437,514,806,999,326,041,396,851,700,103,527,061,805,561,894,
047,979,866,731,327,064,778,662,058,193,963,712,147,259,248,031,802,268,135,
430,888,340,006,447,785,975,183,255,519,467,699,204,979,799,587,607,368,997,
465,916,050,748,477,597,555,116,733,680,878,673,163,009,160,413,669,533,171,
204,363,300,951,346,125,387,509,030,805,093,300,418,861,752,075,818,270,161,
975,591,587,702,245,392,635,702,429,002,315,079,897,342,635,232,850,641,354,
129,581,183,117,960,871,476,925,550,027,495,299,484,371,983,515,388,437,759,
014,417,222,241,938,979,324,479,724,724,097,903,438,791,251,091,613,214,615,
445,559,898,612,465,110,810,760,129,092,530,556,827,882,140,359,041,976,111,
470,684,708,073,983,415,080,385,805,816,169,787,579,172,452,865,769,411,095,
712,457,702,574,188,313,902,289,504,886,609,617,644,950,285,403,415,748,226,
017,434,007,229,702,050,770,126,144,032,504,781,133,700,350,046,159,354,008,
316,451,814,597,386,224,993,174,126,435,339,637,317,250,584,701,695,785,723,
911,156,066,934,770,429,223,391,822,304,467,545,927,859,469,795,291,843,455,
588,791,199,265,767,553,015,381,893,785,898,624,447,297,056,612,683,160,398,
248,121,715,542,729,903,151,387,335,646,470,802,385,081,440,023,917,249,902,
449,774,228,681,688,402,764,366,348,720,647,973,220,465,636,005,859,332,259,
697,690,821,938,765,555,217,872,888,441,503,848,948,448,730,336,405,523,618,
434,543,767,255,675,765,759,219,572,200,978,660,505,489,827,967,439,835,829,
557,753,373,218,744,387,403,034,767,207,210,093,172,767,010,532,477,228,445,
177,527,717,583,592,894,055,733,724,089,079,624,708,176,424,488,654,425,841,
014,905,778,632,813,837,474,917,341,421,492,430,322,307,413,547,292,739,878,
928,163,159,984,034,741,969,862,575,352,494,020,299,324,048,003,104,430,761,
777,577,658,431,091,500,556,914,716,587,005,276,404,106,117,955,573,645,754,
443,861,667,214,767,622,254,705,602,674,310,823,488,601,563,583,503,013,714,
244,203,639,156,910,979,187,621,188,694,561,725,129,034,055,347,109,084,295,
196,185,184,157,575,697,649,950,913,203,328,892,813,699,900,357,046,043,952,
547,881,733,659,522,030,758,651,393,074,311,613,848,570,926,088,313,955,437,
471,356,934,287,209,196,483,635,328,371,663,423,119,685,844,287,578,970,828,
495,440,122,861,761,087,616,208,471,436,725,699,238,707,732,989,845,109,734,
657,835,959,123,947,123,958,604,201,451,941,087,006,574,070,585,548,982,886,
526,785,167,697,759,142,245,881,399,450,803,428,237,110,289,796,691,215,828,
199,643,696,321,375,420,877,243,748,388,214,243,552,649,592,979,800,361,412,
393,983,676,270,035,719,456,543,670,030,647,508,229,072,745,550,355,396,353,
373,199,310,565,001,836,711,795,892,576,045,612,397,761,009,293,304,633,694,
872,059,532,281,470,983,932,371,334,312,516,223,547,072,947,157,537,089,627,
253,077,723,088,309,331,140,194,420,162,767,003,073,347,032,004,664,228,478,
741,441,636,476,959,387,035,870,120,068,348,389,852,362,995,097,253,589,679,
551,739,164,886,600,731,475,004,486,223,619,293,377,088,245,223,112,350,009,
400,237,328,559,050,646,703,922,216,131,845,037,640,691,813,742,553,266,316,
035,531,646,643,413,221,434,351,506,202,598,067,368,105,574,278,122,702,558,
648,997,309,693,933,707,770,248,764,685,344,344,844,614,680,008,169,611,538,
026,913,165,616,740,817,206,727,917,614,022,680,158,717,006,462,552,972,101,
529,057,799,653,225,312,371,207,187,833,064,162,847,273,262,854,843,194,555,
420,525,174,737,605,334,588,137,626,902,650,846,645,158,657,461,910,408,588,
034,701,629,224,332,498,012,530,784,187,174,314,214,140,215,138,256,371,508,
443,643,342,749,335,891,006,343,714,330,018,071,524,572,884,875,931,156,020,
156,470,272,330,188,849,630,944,904,892,016,759,432,859,822,593,705,448,164,
740,924,331,429,968,415,114,686,528,258,130,187,943,793,876,832,571,500,723,
607,025,840,942,962,574,838,599,414,313,674,942,598,887,003,643,847,933,149,
364,649,300,327,828,956,078,458,287,026,968,290,600,630,526,007,669,153,375,
510,972,718,553,608,001,378,882,875,954,808,038,167,757,856,623,913,027,524,
695,792,691,004,624,357,855,545,918,611,142,030,590,112,256,603,216,446,609,
540,287,062,524,026,869,704,997,864,698,655,084,858,192,170,109,285,666,066,
183,142,808,980,339,092,529,361,103,203,690,452,381,282,402,087,749,192,178,
807,034,636,757,098,099,801,940,093,264,344,675,075,319,923,528,572,549,228,
925,817,911,970,268,081,477,018,885,192,009,315,484,861,300,208,669,537,758,
119,432,967,161,463,763,872,232,734,714,936,918,444,761,620,223,774,357,275,
282,745,563,922,354,571,764,156,489,619,622,086,786,785,887,335,346,414,628,
312,812,602,665,380,526,140,735,884,588,407,302,232,861,032,176,310,005,992,
330,374,260,860,999,650,195,087,511,801,563,418,537,854,729,462,843,215,793,
972,949,197,110,112,512,632,803,215,867,651,409,357,078,050,899,016,089,714,
250,799,326,685,984,912,314,564,069,177,207,600,094,990,514,627,138,269,920,
738,667,755,005,689,308,453,479,207,833,319,947,225,689,034,617,767,494,229,
931,576,506,899,377,672,613,716,834,786,019,103,065,901,820,711,802,813,179,
792,492,028,385,174,645,076,032,836,797,420,101,721,645,512,148,791,546,410,
352,422,876,420,313,633,628,324,374,009,669,269,650,547,729,799,722,347,401,
203,864,823,923,096,221,889,905,687,678,428,148,352,648,882,305,946,937,568,
517,591,761,770,185,906,742,664,159,093,305,679,279,156,869,726,409,959,247,
327,407,150,764,822,541,427,350,957,072,920,974,425,965,429,407,470,918,737,
797,777,576,943,844,158,764,474,190,710,404,085,471,498,370,018,735,136,450,
505,023,600,782,149,712,478,637,109,799,585,837,460,005,859,345,867,500,764,
971,570,987,076,047,980,604,641,285,150,675,661,967,030,681,957,197,857,951,
891,950,450,004,347,365,365,852,737,850,829,556,032,266,457,963,697,668,773,
569,688,683,764,426,115,912,098,988,318,398,557,380,065,910,295,907,689,690,
871,438,109,252,726,413,429,659,260,603,948,758,126,518,944,275,967,264,749,
478,840,850,646,285,989,023,952,699,821,557,352,074,504,499,858,389,576,255,
977,187,396,258,956,201,950,847,080,610,534,315,373,114,007,643,704,328,811,
444,007,347,202,837,455,711,027,033,745,151,909,424,296,831,132,824,233,979,
701,063,755,138,177,475,809,912,257,580,260,240,426,140,948,584,910,831,323,
359,339,649,848,852,616,266,834,375,210,488,851,864,314,628,746,856,275,672,
610,244,116,834,083,268,517,333,403,526,790,722,626,148,007,894,642,917,884,
503,061,839,828,557,698,510,265,458,352,842,546,293,530,971,828,941,453,506,
669,645,741,776,526,365,617,931,965,530,191,988,813,006,830,828,783,651,798,
016,005,305,538,033,053,586,464,522,556,424,039,187,290,383,376,331,081,964,
552,971,203,220,404,203,169,097,599,211,498,135,238,146,480,941,845,384,457,
381,296,011,105,883,607,138,370,667,705,971,083,840,149,955,312,130,935,591,
531,220,128,109,283,939,409,035,721,244,332,529,771,747,468,592,032,458,968,
994,519,199,274,029,381,717,026,982,478,126,841,704,112,067,012,224,087,249,
319,921,073,441,708,672,900,613,199,556,194,653,012,438,495,949,173,342,074,
386,545,381,284,700,513,454,827,384,596,265,735,812,481,271,280,461,745,822,
925,838,613,107,218,722,397,057,897,977,050,335,062,815,559,179,192,665,069,
785,431,339,068,669,670,679,223,941,958,483,426,695,124,017,892,080,160,446,
641,636,570,352,850,507,951,664,027,070,973,789,398,197,907,444,450,630,772,
040,184,170,658,675,621,644,552,119,093,325,398,999,443,825,634,855,978,691,
990,283,112,470,476,978,807,628,185,915,404,966,451,037,936,684,632,927,313,
138,397,239,866,889,618,329,756,819,766,184,084,523,555,629,829,859,252,379,
433,577,557,836,810,943,146,268,700,874,512,292,190,771,460,547,533,475,389,
401,968,372,383,560,318,311,255,283,329,199,700,966,908,584,723,299,075,133,
871,802,311,914,628,733,534,911,486,080,210,553,896,115,279,290,330,743,103,
699,455,750,165,768,060,343,135,193,609,711,797,425,434,700,536,453,093,230,
589,776,935,053,104,198,104,319,051,494,521,334,527,211,095,782,186,430,450,
215,679,598,544,713,701,096,062,462,577,319,033,514,787,771,838,847,971,753,
977,155,598,402,088,755,346,045,302,353,925,975,836,262,886,066,903,768,565,
287,911,056,074,272,162,766,547,401,608,659,334,594,623,565,296,683,584,674,
114,387,767,065,544,058,370,649,470,091,358,801,930,007,823,664,889,454,844,
862,620,371,874,638,697,226,107,415,404,889,859,460,270,928,213,536,768,844,
097,958,150,926,300,077,449,694,804,043,148,848,705,596,230,563,495,691,053,
520,817,648,326,864,800,242,280,544,076,959,662,162,312,302,989,739,316,762,
320,081,187,009,951,333,215,955,612,352,779,397,973,048,568,804,339,141,421,
273,846,174,045,668,781,364,476,890,767,753,890,018,890,065,380,198,864,263,
623,636,021,492,948,375,237,144,699,456,486,912,834,121,048,619,310,471,445,
817,823,434,147,224,511,627,342,865,001,647,942,764,310,780,429,141,759,846,
384,446,615,317,840,685,549,189,518,308,304,365,597,596,116,153,009,558,945,
067,179,031,839,206,519,899,557,696,628,645,615,996,817,586,151,468,828,205,
469,540,171,683,493,506,414,782,790,378,636,481,909,321,261,319,908,612,561,
224,224,970,570,079,667,920,870,139,706,299,683,625,837,536,311,573,616,120,
841,141,840,948,056,917,611,530,836,154,114,064,102,198,731,533,725,004,079,
512,264,827,935,393,764,726,729,494,939,118,335,476,440,593,540,076,716,083,
841,199,903,809,706,064,944,528,359,920,445,502,568,252,178,925,176,988,614,
871,904,751,983,590,809,420,849,756,501,424,678,455,029,796,874,332,145,974,
238,126,983,963,897,710,843,146,188,605,460,642,947,021,318,659,814,450,752,
189,857,217,107,691,284,057,740,200,861,537,450,215,905,078,014,302,314,397,
882,755,827,834,394,593,259,289,892,624,011,870,253,852,143,486,311,332,348,
273,273,308,586,827,353,979,067,667,513,311,079,221,908,097,711,217,515,673,
971,822,700,658,066,420,189,911,826,968,079,262,981,609,587,964,670,928,397,
312,115,627,611,724,422,384,852,437,916,205,452,430,201,520,448,231,203,167,
981,306,069,727,248,570,220,629,814,369,752,888,775,822,844,031,627,071,619,
050,404,602,619,159,560,908,977,329,347,134,019,752,882,874,076,929,436,857,
839,660,387,790,347,381,092,637,925,494,165,437,329,949,157,042,044,273,287,
012,552,113,204,010,089,469,967,130,335,637,959,701,515,294,477,957,928,544,
979,311,416,130,890,051,663,276,441,545,821,164,699,170,189,487,985,756,907,
978,131,658,021,182,059,048,772,929,787,534,016,749,530,382,901,391,768,578,
724,388,995,895,276,304,042,046,953,499,216,526,478,467,396,174,575,502,271,
953,799,710,580,608,515,765,133,108,649,875,995,029,569,275,773,424,374,080,
963,783,725,982,169,354,076,939,693,183,337,555,899,476,038,075,043,509,623,
923,650,991,987,829,961,604,490,816,218,799,680,602,826,525,057,412,314,554,
981,088,702,846,517,990,019,364,385,166,131,098,864,409,932,898,371,959,601,
469,194,388,004,852,362,852,992,079,144,491,759,562,612,177,835,273,732,027,
350,477,933,544,065,622,477,863,683,976,165,060,545,381,598,340,247,904,720,
750,608,035,888,466,093,603,508,111,051,274,898,927,286,970,857,662,053,502,
765,970,913,510,057,471,569,660,127,002,140,822,592,519,648,311,369,828,804,
243,440,627,251,878,304,399,625,711,061,842,389,397,196,633,256,323,005,952,
449,114,280,054,303,492,208,548,946,801,463,389,624,228,737,257,156,889,004,
354,000,492,509,004,914,661,566,719,063,626,686,637,734,359,259,086,999,551,
509,596,752,915,941,863,714,834,787,048,501,387,987,886,501,419,888,217,485,
192,348,422,989,629,299,438,638,814,242,977,144,682,304,759,786,236,981,742,
518,188,017,393,487,068,651,314,591,862,072,893,307,150,450,233,746,694,117,
132,807,220,935,961,295,799,932,806,653,016,354,536,548,534,404,665,720,230,
584,643,942,637,228,057,353,100,910,919,677,247,091,130,591,455,113,396,030,
011,011,286,860,612,009,634,537,511,970,178,939,222,106,141,056,224,273,755,
596,859,139,201,605,475,449,503,218,821,739,922,274,532,204,932,134,937,426,
117,717,210,030,693,109,767,444,812,378,262,961,781,696,981,841,431,817,725,
109,834,191,657,537,773,201,470,271,215,008,281,987,197,025,557,974,411,865,
405,689,088,240,586,874,276,613,333,151,062,977,936,467,526,136,640,858,934,
905,355,051,046,230,894,199,731,545,941,971,212,249,012,202,009,073,443,660,
904,750,004,537,468,703,460,897,891,191,914,460,163,473,984,996,618,962,791,
104,901,215,647,176,404,334,708,626,496,755,970,019,375,801,212,609,348,795,
384,921,616,744,282,547,534,548,440,099,966,247,747,184,921,191,965,013,684,
552,911,833,181,735,084,428,851,917,821,034,442,118,056,788,451,291,245,618,
351,138,935,377,138,382,486,115,852,876,774,309,599,133,283,359,031,282,122,
030,670,018,725,826,715,706,011,971,404,397,849,170,193,827,321,902,069,847,
051,026,629,990,617,240,779,381,671,763,912,285,118,581,195,572,873,824,585,
453,612,466,766,013,811,736,881,567,874,775,188,774,160,306,251,845,247,579,
618,992,089,305,747,351,697,186,598,174,344,283,314,252,920,501,431,941,495,
681,498,467,834,562,615,042,020,999,980,097,334,250,298,084,477,326,984,877,
692,200,504,326,968,219,101,035,531,368,631,659,115,978,599,608,880,427,548,
113,828,863,610,913,538,408,304,121,772,295,432,688,429,950,504,493,894,714,
631,114,422,016,252,816,488,246,155,464,860,483,059,960,996,217,500,640,270,
451,037,739,498,023,367,066,970,154,098,278,199,207,496,028,478,762,675,118,
971,794,688,582,660,705,839,817,886,990,437,218,398,370,379,874,478,747,234,
065,371,298,118,798,068,544,929,487,962,975,595,976,607,819,047,488,108,220,
594,600,830,077,843,806,176,678,613,547,305,280,890,623,926,759,682,244,160,
750,320,921,461,994,542,143,989,619,532,170,777,549,498,578,123,239,098,104,
222,387,617,324,134,041,805,099,372,843,062,394,667,347,076,649,123,214,535,
826,963,470,593,381,166,171,893,703,766,167,950,377,724,723,952,872,106,708,
376,803,485,606,944,191,267,623,312,827,688,000,574,862,592,229,939,884,514,
462,481,132,022,463,715,634,158,488,745,789,881,066,701,690,195,212,226,698,
877,758,667,801,841,282,562,425,159,076,454,842,851,613,473,086,865,046,565,
598,142,341,366,183,580,406,636,869,791,676,822,224,124,016,578,071,507,929,
962,746,066,450,187,806,614,948,831,818,722,060,987,981,025,891,566,471,743,
882,614,464,239,467,979,781,108,899,269,913,145,330,035,674,937,917,834,801,
482,199,793,941,262,018,950,149,646,232,732,939,026,071,261,767,608,727,064,
349,625,006,314,497,381,598,923,135,406,277,403,211,841,746,621,241,116,304,
198,836,272,719,520,539,996,735,035,783,640,189,335,370,695,930,460,905,225,
454,975,878,800,336,479,223,633,240,695,529,495,881,221,623,479,916,303,235,
511,051,396,789,105,840,549,359,282,784,922,741,715,988,951,868,909,841,329,
535,266,515,554,821,396,294,969,827,293,569,667,475,883,050,043,986,131,660,
687,381,961,170,217,668,814,197,238,934,211,267,403,709,001,836,719,867,091,
483,431,983,867,707,793,307,430,689,499,493,095,155,007,389,453,375,955,605,
548,967,648,206,819,417,375,303,309,239,700,555,869,425,647,585,431,585,412,
784,644,297,458,532,986,284,786,470,218,769,378,329,751,168,097,737,566,848,
906,648,934,449,493,635,794,803,935,952,903,278,519,351,989,241,358,847,351,
577,601,674,556,906,736,738,420,297,539,969,946,128,843,216,460,847,969,465,
116,405,760,649,080,061,132,541,005,608,160,485,350,038,197,562,084,356,164,
245,605,646,732,164,615,094,717,273,865,281,635,284,874,402,685,631,195,811,
471,409,004,257,650,850,346,296,934,810,969,002,882,158,163,152,775,966,488,
689,413,070,280,948,137,104,210,695,769,896,730,954,090,255,914,976,532,452,
916,869,476,119,934,954,678,102,386,627,711,461,940,499,490,041,193,072,731,
830,223,520,966,743,739,636,430,504,214,849,436,873,047,639,526,905,043,093,
156,768,886,609,358,682,247,798,909,597,382,904,505,158,270,105,018,276,775,
254,378,161,381,417,191,401,853,955,913,629,511,663,718,192,062,856,455,351,
827,550,392,882,970,136,182,952,893,138,803,294,928,196,191,606,396,539,819,
066,099,113,159,119,469,712,957,709,306,729,018,840,284,109,259,827,888,016,
083,291,417,578,055,990,224,884,821,037,403,862,463,449,501,302,279,554,729,
096,760,747,836,754,500,512,179,452,745,001,431,735,643,050,860,838,428,223,
742,511,467,138,832,784,371,780,057,924,460,342,458,266,773,559,126,785,471,
496,802,001,271,950,538,685,199,356,500,332,392,100,670,489,087,366,796,582,
673,201,548,796,084,167,429,750,569,488,924,104,291,277,105,056,754,138,730,
373,598,824,139,465,870,767,791,329,286,885,891,781,251,027,069,455,706,136,
547,199,741,510,567,182,845,451,733,295,715,564,557,301,998,634,119,378,376,
271,099,094,326,321,653,116,348,258,776,602,278,233,477,225,024,502,454,024,
550,010,017,533,202,261,779,751,456,898,006,971,987,510,246,890,837,039,153,
633,334,927,376,367,869,577,829,846,833,269,912,025,797,966,349,755,369,171,
837,930,436,320,740,241,114,338,959,412,903,189,494,029,208,592,355,129,201,
808,080,770,870,130,152,862,772,611,447,810,256,358,483,193,946,882,677,158,
191,567,398,719,250,538,629,770,726,159,070,001,833,384,058,538,843,541,229,
777,205,194,912,776,079,071,913,422,731,779,272,855,668,468,594,979,482,691,
600,809,334,390,703,025,337,772,715,173,986,405,973,705,485,159,467,066,418,
692,870,671,193,172,786,820,856,152,796,251,438,662,949,447,328,703,276,158,
535,449,265,452,848,475,677,711,967,773,183,422,292,249,037,157,886,023,899,
104,003,503,367,379,485,662,396,760,465,581,371,098,103,019,355,067,256,319,
950,570,903,877,940,595,331,390,827,187,453,759,766,353,111,053,366,927,694,
889,931,875,449,811,352,354,482,897,357,822,304,005,400,926,252,842,901,810,
823,262,246,537,435,501,241,579,538,605,889,576,774,734,452,243,072,518,773,
013,577,689,039,137,810,838,251,064,255,049,268,486,905,775,542,414,385,494,
092,643,983,987,410,146,674,539,224,427,024,308,520,411,357,767,614,320,701,
148,214,317,565,028,302,578,993,277,044,717,824,898,539,515,843,883,534,283,
699,574,146,174,473,110,185,685,373,516,448,924,439,159,341,480,505,036,087,
518,648,289,241,349,450,759,780,437,312,737,106,145,412,557,801,579,955,834,
855,269,847,266,429,759,181,922,630,303,421,129,724,384,925,594,889,786,173,
486,915,815,262,711,270,819,141,770,472,839,354,160,715,123,359,594,040,638,
792,508,749,613,362,400,588,394,543,436,913,606,550,513,771,079,732,913,190,
905,176,452,844,047,819,552,544,828,520,769,030,632,463,421,887,007,722,707,
097,205,770,950,733,754,555,313,353,977,489,853,904,825,174,203,442,190,245,
217,039,767,183,617,790,854,475,191,639,998,894,005,631,590,139,041,569,010,
303,579,688,428,301,604,814,697,934,703,809,125,650,150,437,218,240,333,434,
404,490,420,569,164,709,266,495,491,957,963,457,740,635,959,427,408,326,434,
726,717,168,264,739,166,171,910,932,243,074,078,624,493,010,953,161,013,576,
852,738,106,954,341,191,826,327,461,806,311,646,156,748,072,894,092,981,769,
453,181,562,181,887,110,666,012,675,877,577,930,980,477,348,169,695,663,528,
624,585,046,947,258,196,826,313,527,102,263,520,318,018,528,103,353,182,349,
360,568,917,746,436,257,984,993,970,487,400,827,095,353,943,327,803,040,478,
919,779,280,667,036,776,856,146,062,436,286,206,188,276,863,007,114,119,647,
248,259,648,400,936,293,472,879,644,701,790,960,506,472,527,773,151,541,499,
139,811,183,561,598,534,587,294,864,395,844,950,447,642,291,486,161,953,164,
917,866,091,949,581,111,337,601,255,954,276,994,610,025,145,783,508,352,664,
045,557,317,555,590,325,896,870,966,916,765,122,887,793,496,779,246,077,129,
911,821,883,124,730,970,740,441,553,821,649,779,574,283,304,319,873,037,095,
466,065,931,652,283,589,785,283,989,929,907,619,244,664,884,159,314,147,820,
255,157,930,402,286,177,789,278,019,641,675,706,449,091,894,523,683,085,992,
494,890,188,410,437,607,696,787,749,129,615,456,683,843,325,032,693,741,730,
703,820,284,556,122,248,033,141,096,101,604,651,736,886,360,222,295,964,082,
005,124,922,361,563,068,025,635,433,521,998,655,821,309,888,434,780,942,800,
634,747,985,542,062,629,305,814,301,819,907,584,065,999,368,771,117,787,049,
011,409,388,267,484,393,183,445,770,011,537,431,486,060,051,811,404,115,927,
801,243,524,198,248,731,610,546,748,841,791,827,388,506,424,089,376,540,900,
233,798,137,288,299,679,786,977,024,547,027,067,278,895,186,919,863,905,194,
868,360,116,489,272,426,585,503,543,083,698,368,852,842,987,605,088,930,679,
907,337,094,555,456,888,350,600,774,590,263,490,557,779,915,051,919,237,480,
338,369,952,074,769,077,518,869,100,284,956,416,724,065,399,583,397,335,670,
294,303,978,745,191,503,943,122,192,202,999,004,022,949,158,143,194,452,740,
938,866,384,621,289,523,369,869,698,295,660,550,688,508,495,148,903,080,692,
529,518,694,049,380,079,336,867,185,642,894,307,725,702,161,251,283,715,560,
607,888,036,905,671,041,425,275,298,208,911,703,522,599,155,496,671,862,762,
271,258,393,558,091,721,351,774,898,870,356,837,493,583,624,875,770,786,388,
153,301,173,423,613,325,395,208,433,506,130,540,295,946,299,265,892,886,788,
173,280,562,872,048,171,660,733,828,666,387,899,667,689,514,794,120,951,939,
566,472,169,001,776,205,357,233,794,827,533,231,132,613,496,956,760,973,268,
268,054,336,209,998,928,872,162,711,721,361,846,041,659,159,115,199,239,371,
633,906,476,010,534,182,694,905,569,962,608,220,133,127,310,663,365,185,366,
166,135,336,150,941,793,147,610,092,158,604,310,620,218,730,074,784,499,958,
304,937,067,118,452,373,646,270,559,033,382,893,605,586,215,195,345,106,674,
752,282,865,834,438,362,968,469,048,927,391,099,719,113,645,674,562,782,862,
936,393,777,905,869,392,396,993,435,969,110,449,952,963,766,900,975,827,268,
472,457,886,903,292,129,905,765,715,486,485,848,431,978,047,817,602,679,591,
119,727,621,419,318,377,305,966,062,607,862,231,477,285,618,267,751,142,933,
227,496,753,140,030,796,591,619,282,480,871,125,400,681,107,822,685,686,198,
950,107,835,650,316,706,228,926,457,702,976,249,007,651,797,819,930,335,821,
951,875,025,158,007,460,803,644,116,208,117,698,830,569,541,250,044,679,391,
221,830,918,792,295,738,298,328,727,576,977,309,043,540,143,810,826,292,823,
254,152,860,228,392,349,003,507,533,183,655,495,390,604,299,207,075,863,316,
859,439,044,862,022,409,824,571,850,846,295,811,424,713,548,273,628,003,549,
846,993,359,459,393,658,877,817,134,909,784,527,647,201,326,939,299,122,269,
881,986,038,965,404,349,852,996,662,957,477,066,593,575,067,962,348,452,731,
440,765,541,899,714,664,433,390,780,307,420,944,322,230,367,659,036,715,182,
179,328,663,050,389,087,713,358,138,153,359,638,999,446,256,614,068,821,006,
009,722,273,738,211,860,512,671,556,803,342,503,551,401,895,706,437,937,536,
400,122,714,233,898,419,370,958,002,233,411,272,826,142,316,431,336,347,695,
418,825,702,988,696,336,448,211,901,354,284,854,287,055,721,501,377,770,623,
202,397,132,877,449,296,085,728,248,442,158,728,713,963,317,796,462,559,646,
851,970,728,892,121,347,867,341,861,505,044,794,291,170,436,321,672,829,268,
150,371,800,301,559,843,449,971,815,095,483,326,332,751,764,366,738,996,921,
314,822,111,614,602,373,633,421,611,788,174,653,848,442,027,809,737,727,612,
694,091,593,553,776,937,077,544,700,117,198,933,890,512,361,260,735,572,344,
001,265,301,361,124,681,042,009,966,921,498,969,304,607,957,551,118,499,951,
278,622,984,067,899,307,064,880,582,356,419,423,933,877,723,378,919,126,244,
893,335,635,833,909,205,886,342,417,266,965,852,697,669,869,067,467,777,008,
274,629,868,722,763,920,216,976,554,638,980,182,264,890,147,854,209,514,686,
329,668,983,061,856,304,697,214,084,245,280,504,684,094,211,374,068,601,324,
940,208,605,996,450,882,270,732,208,073,430,052,566,066,535,677,218,483,584,
022,687,587,300,639,842,038,146,841,292,791,908,664,004,000,034,615,998,749,
704,820,104,602,992,609,567,102,935,102,563,520,403,691,461,761,643,596,622,
342,925,349,972,739,045,617,884,717,430,863,603,559,283,891,363,800,603,510,
672,614,938,642,704,491,671,182,893,091,362,666,187,957,133,648,897,485,416,
383,778,943,712,182,580,447,451,529,083,494,413,037,354,537,086,175,532,779,
322,210,620,701,896,962,459,114,115,127,963,779,231,795,105,610,603,549,690,
111,678,575,092,671,787,896,994,282,768,609,159,220,450,490,651,799,832,320,
657,812,338,741,228,614,984,839,454,073,897,585,461,100,773,686,691,793,808,
754,276,472,319,997,135,118,580,091,699,114,807,788,113,898,933,197,578,520,
595,525,428,774,262,392,916,258,326,166,166,618,417,390,293,138,464,926,052,
619,514,437,652,440,435,786,362,704,378,050,461,096,333,689,064,495,928,754,
247,891,875,538,662,901,751,449,878,377,969,237,250,874,411,043,612,916,277,
448,457,141,740,139,208,258,461,121,569,077,190,434,303,836,172,351,550,540,
135,546,162,778,964,340,879,797,406,357,423,996,730,134,576,047,000,687,780,
924,273,680,956,987,175,273,000,653,416,161,073,572,593,339,547,774,581,968,
559,963,701,452,549,858,543,116,185,436,159,727,711,920,407,850,697,246,323,
684,638,605,177,062,561,533,978,523,405,855,409,038,869,832,475,580,212,482,
986,254,261,083,805,099,313,493,074,126,527,315,432,035,260,666,204,566,815,
997,260,927,097,273,961,034,320,744,592,008,100,568,486,858,645,228,793,563,
300,515,200,517,056,806,106,295,832,293,752,139,298,306,078,841,519,467,370,
943,608,437,755,910,057,189,186,264,477,326,288,741,051,279,248,891,339,255,
060,314,914,225,394,978,672,549,517,579,913,414,760,591,583,285,910,568,094,
093,247,048,323,895,731,536,566,506,755,195,285,845,320,540,717,888,388,323,
148,088,327,226,844,319,956,191,089,624,456,282,954,272,179,375,990,921,811,
074,760,924,784,553,752,147,912,226,827,256,256,231,349,501,833,318,263,754,
762,071,130,597,844,860,306,083,937,099,142,530,769,099,736,679,244,905,448,
758,874,168,033,633,953,249,999,351,949,177,204,353,643,925,493,400,118,846,
506,613,949,547,418,200,215,111,432,843,546,661,352,728,540,988,215,628,150,
973,572,267,753,689,001,432,438,549,493,859,456,844,159,481,746,873,018,102,
289,668,660,987,710,865,109,039,719,292,816,652,745,505,906,832,354,350,738,
333,332,060,071,479,355,679,322,528,996,527,825,204,505,174,901,341,010,192,
427,281,659,534,375,578,260,346,347,058,075,793,537,669,242,098,912,308,413,
255,960,611,043,034,770,976,857,786,388,586,244,999,215,614,090,073,361,263,
438,067,198,720,247,872,182,438,628,491,758,012,831,259,305,778,017,840,007,
475,537,776,193,904,947,997,021,443,864,559,089,013,703,070,969,684,118,410,
232,676,163,763,455,504,202,587,847,042,001,653,133,620,163,211,397,041,876,
916,898,176,348,932,772,487,784,003,786,207,669,532,608,847,063,244,718,214,
643,069,913,181,510,510,466,386,680,103,583,807,800,030,162,384,352,171,522,
566,825,453,653,996,012,181,076,063,425,614,330,837,627,365,576,706,130,671,
873,882,273,746,767,480,316,268,156,141,549,804,919,661,554,525,458,204,421,
918,232,829,083,057,129,303,542,495,647,684,728,182,780,522,302,547,946,124,
454,271,033,979,426,265,277,269,256,552,602,003,259,429,793,563,878,713,646,
214,016,033,704,982,847,995,607,964,681,020,355,183,639,276,996,285,080,241,
895,527,463,335,164,477,754,084,776,155,015,945,695,242,494,842,726,338,377,
665,053,920,229,434,304,139,166,341,306,164,331,667,546,900,057,037,075,730,
238,679,478,426,857,517,015,737,041,812,198,961,783,747,067,752,506,203,125,
362,645,959,300,527,057,723,569,082,181,787,202,200,271,757,555,620,168,659,
338,523,233,012,755,318,101,706,959,353,233,511,352,434,451,905,914,042,429,
103,432,329,307,062,811,795,130,946,873,300,838,593,562,768,802,336,405,264,
427,338,946,410,146,173,948,954,216,916,812,222,378,263,132,126,251,179,808,
456,687,952,866,074,786,082,276,737,288,867,375,845,219,033,455,429,708,429,
894,747,584,148,351,996,488,645,921,230,850,692,866,160,467,430,759,291,779,
560,813,604,527,163,033,414,843,627,872,653,585,810,317,447,303,634,897,889,
117,083,783,033,726,679,085,508,179,724,883,717,845,064,440,795,200,675,826,
993,558,073,427,743,484,013,639,369,065,183,544,854,717,489,715,435,508,256,
694,790,133,404,528,910,074,511,375,174,007,300,988,963,320,888,111,568,974,
849,625,594,213,514,100,104,654,091,866,109,333,306,732,484,226,781,674,898,
644,254,383,035,799,547,056,801,434,456,819,452,543,689,591,754,297,840,188,
182,012,410,256,161,934,173,943,468,358,753,469,791,428,679,079,320,640,578,
664,475,380,460,224,532,778,178,553,368,254,585,750,168,557,343,267,961,640,
262,397,066,196,700,275,762,503,924,952,373,154,072,051,805,495,244,162,237,
308,187,350,950,352,281,881,965,100,764,207,279,915,884,287,580,886,274,408,
351,512,934,571,579,293,659,634,789,736,473,166,556,550,502,114,575,260,303,
993,699,318,887,915,690,815,153,082,949,940,785,415,532,307,736,696,751,781,
145,553,929,279,134,467,239,724,238,493,544,464,169,264,117,120,079,046,822,
472,853,145,119,083,803,004,463,975,550,460,689,742,844,063,991,045,269,312,
057,973,780,109,946,275,828,259,071,406,575,769,077,773,913,600,125,557,338,
498,479,615,042,736,107,868,284,209,100,008,560,017,752,628,614,117,241,957,
979,833,044,697,361,150,583,937,646,467,285,278,705,909,051,500,969,938,155,
035,124,916,437,830,870,396,246,252,818,000,656,218,608,224,765,054,169,023,
972,954,383,840,987,307,905,527,420,017,177,377,574,132,952,620,725,429,653,
579,475,502,795,483,931,842,941,264,474,046,157,326,336,465,064,670,261,093,
488,291,766,916,645,586,000,780,643,064,032,879,583,890,017,128,473,477,773,
862,153,969,332,718,044,721,209,793,126,322,393,097,801,793,188,492,419,180,
785,434,641,711,372,756,473,374,818,457,738,457,410,364,486,517,667,153,009,
136,798,896,408,628,642,694,252,309,544,104,685,845,185,983,521,654,850,975,
033,082,631,287,225,988,158,537,335,042,181,515,792,812,878,547,505,025,129,
018,741,500,200,790,921,224,936,564,019,426,846,592,322,697,295,330,650,633,
109,982,257,911,528,304,432,426,648,197,070,285,723,733,290,501,892,674,708,
872,178,500,410,261,856,953,762,777,293,509,944,932,948,756,241,595,695,322,
042,882,117,887,903,698,635,778,175,508,680,401,114,270,098,494,704,638,358,
218,439,990,962,398,628,161,399,050,668,977,004,824,142,967,916,283,270,953,
194,068,934,907,896,992,817,353,219,863,010,820,064,859,771,238,412,909,466,
392,449,778,981,020,889,057,057,227,563,605,575,596,766,948,079,219,338,895,
628,978,546,676,787,532,406,055,802,339,125,077,550,879,415,965,299,247,503,
381,472,439,761,158,076,369,407,903,018,081,743,792,530,511,372,404,813,381,
329,095,670,822,313,892,517,842,947,147,140,561,985,470,367,038,945,844,230,
515,868,894,660,266,795,074,352,131,487,495,509,742,581,091,022,700,367,894,
151,772,654,108,782,784,262,627,919,293,320,972,421,271,598,769,889,206,050,
865,124,957,703,909,065,113,379,231,970,240,437,454,504,021,537,621,224,385,
073,131,010,390,538,843,050,377,858,057,434,879,432,228,350,291,749,378,289,
941,034,824,253,384,700,997,431,183,854,869,534,469,321,189,594,037,248,752,
754,393,591,027,222,537,457,216,633,690,925,423,623,462,738,700,704,855,328,
795,651,075,333,177,754,648,158,226,367,744,646,433,080,642,698,059,481,811,
607,375,536,274,211,491,132,420,813,378,269,512,715,949,279,529,850,730,418,
956,491,391,711,958,173,034,716,349,247,749,707,220,567,794,169,854,422,768,
221,042,084,750,225,923,680,315,939,699,871,380,750,726,491,817,213,209,626,
339,944,369,364,816,777,536,796,813,059,064,365,972,748,324,832,323,488,285,
616,840,502,345,157,709,684,177,646,648,290,493,646,507,067,293,772,416,066,
147,700,530,815,926,743,468,291,419,984,461,421,189,532,497,157,319,795,049,
011,821,858,469,065,418,793,800,306,124,310,715,761,451,742,928,965,485,325,
827,883,286,433,911,324,570,889,272,165,814,591,369,355,742,538,493,041,794,
093,945,345,206,089,735,756,668,517,347,042,617,833,171,811,322,999,545,815,
593,012,736,800,371,845,455,177,115,015,784,838,097,879,964,004,795,504,725,
716,860,809,872,820,434,866,048,952,281,584,784,029,964,771,516,339,289,737,
226,918,139,443,086,863,352,068,553,056,429,549,322,202,987,925,259,971,360,
743,647,752,119,788,224,799,585,826,516,161,504,769,168,343,789,372,226,981,
858,726,926,370,146,706,169,436,778,582,806,468,580,143,073,085,816,136,805,
906,037,136,323,250,696,272,710,346,502,544,126,488,112,614,689,207,600,758,
946,556,077,702,359,440,789,671,689,054,623,559,558,306,360,995,245,671,430,
188,909,671,294,910,521,122,467,337,112,338,646,863,843,460,300,083,934,131,
185,996,728,670,527,101,233,320,171,687,121,910,278,529,539,179,449,289,150,
027,367,944,511,167,924,525,892,487,782,379,115,638,307,802,961,313,765,684,
965,652,533,262,254,941,200,840,251,935,915,179,718,168,288,192,403,808,639,
844,680,964,849,365,798,889,450,875,522,426,511,108,751,697,169,392,833,684,
309,305,180,509,198,263,521,172,211,375,046,437,579,504,329,891,866,071,668,
664,625,468,197,922,191,565,919,985,755,803,637,522,187,827,448,880,639,477,
631,486,521,344,050,796,452,119,311,579,224,303,374,115,866,273,820,557,231,
153,870,007,411,615,028,208,126,707,936,652,343,437,061,796,390,812,835,678,
783,447,809,198,127,310,606,830,569,844,271,829,856,170,760,737,967,242,060,
068,864,103,456,430,741,328,163,060,328,020,741,099,151,729,619,745,963,637,
952,731,593,600,454,259,736,052,402,439,250,996,012,327,217,196,038,423,198,
087,494,250,355,653,978,522,020,461,367,347,057,226,395,050,003,287,976,651,
723,809,302,690,634,685,825,905,262,301,289,014,564,971,327,274,175,920,215,
935,381,387,617,345,761,386,134,931,480,918,414,879,682,397,087,494,930,252,
586,786,743,391,145,697,426,929,092,901,517,774,952,232,617,231,640,446,658,
827,855,739,914,011,588,305,668,817,410,740,008,470,900,551,655,896,141,111,
070,831,677,048,983,013,978,516,470,594,464,581,060,502,928,684,362,952,709,
854,085,852,211,705,564,900,080,055,880,258,328,610,727,886,324,551,199,972,
163,816,327,844,552,890,168,279,508,652,974,625,424,325,056,296,798,971,271,
511,887,331,690,741,480,528,916,838,825,015,946,895,437,855,016,648,753,437,
867,468,682,791,972,059,913,190,370,005,791,767,743,482,012,922,663,452,348,
721,296,656,241,667,241,777,298,713,311,075,646,060,555,610,918,217,167,591,
307,940,091,218,056,684,774,205,302,113,231,725,901,140,557,253,654,936,789,
735,975,150,695,992,790,451,751,736,139,091,253,362,528,342,142,463,208,186,
964,423,259,364,596,935,328,929,152,467,379,502,996,669,070,682,976,465,730,
812,402,057,981,177,922,021,643,960,908,585,369,601,917,375,416,770,036,946,
623,637,739,197,051,123,179,343,561,991,194,470,079,003,259,590,991,189,851,
243,968,947,272,223,106,799,336,360,641,312,336,744,381,876,621,181,469,220,
322,109,842,019,255,985,346,961,122,168,420,879,182,732,075,672,167,257,905,
560,505,030,543,870,810,561,493,658,982,231,010,166,813,110,600,890,584,473,
192,578,518,300,782,963,211,084,617,278,473,172,373,499,717,820,684,150,933,
014,335,055,265,492,318,439,645,769,162,921,536,729,959,841,675,118,059,442,
812,870,346,321,673,655,935,105,955,199,499,072,186,733,910,726,749,135,509,
468,126,948,465,977,826,895,210,993,192,242,530,997,574,560,625,242,058,496,
289,943,658,303,482,754,212,106,860,831,630,126,039,179,781,045,894,608,505,
289,655,140,444,873,547,547,621,200,704,589,979,936,210,504,048,686,536,916,
336,683,196,586,248,811,838,607,654,185,903,619,281,163,338,519,653,099,053,
294,891,396,822,210,337,712,977,485,379,264,980,914,288,973,124,623,041,599,
450,765,767,939,343,409,776,672,408,697,910,514,967,148,913,920,205,651,304,
640,627,445,286,691,321,779,629,508,457,673,383,947,454,100,364,163,384,818,
252,418,920,542,825,348,853,987,207,962,716,092,620,226,436,821,964,866,582,
273,703,027,691,291,191,376,913,617,932,970,798,045,294,678,712,258,615,192,
439,980,751,176,948,073,014,557,092,123,248,548,244,465,950,548,937,448,889,
279,017,881,103,349,098,849,901,025,134,495,655,186,286,455,463,591,568,368,
528,514,402,982,754,906,105,300,684,236,726,034,953,557,265,722,470,444,230,
645,397,506,240,395,602,541,840,519,821,360,898,225,288,682,853,259,849,350,
888,789,231,895,387,701,323,382,947,019,901,500,581,404,133,591,601,547,502,
072,900,807,416,322,324,006,336,674,090,281,457,410,149,725,229,701,449,093,
949,363,235,941,900,168,578,955,225,931,693,473,389,423,828,506,270,871,908,
329,734,093,050,284,133,888,700,995,305,848,871,440,137,086,061,598,896,783,
260,358,316,033,131,851,507,102,843,449,495,296,363,081,089,036,690,424,348,
747,351,926,432,318,439,173,109,321,340,137,749,237,319,117,566,172,349,339,
419,112,857,727,210,868,778,651,104,037,390,184,910,917,860,155,367,140,134,
599,964,925,491,134,751,166,914,723,271,463,015,017,113,900,439,728,617,089,
064,185,521,445,661,109,879,735,157,582,789,105,105,915,519,572,064,813,793,
369,076,345,031,140,383,960,303,733,904,016,388,651,191,018,339,381,789,567,
205,958,638,170,792,673,370,976,668,665,837,183,911,499,809,006,113,160,267,
386,910,665,612,483,064,103,909,358,341,411,493,495,306,969,381,789,008,677,
040,585,361,796,976,276,183,505,631,576,396,252,042,865,419,832,421,134,170,
846,773,689,348,775,777,223,818,361,367,674,740,025,722,459,648,717,170,116,
648,697,705,181,589,829,487,039,892,521,675,855,889,391,454,877,928,722,429,
483,977,163,873,046,115,795,928,955,685,762,499,758,586,250,108,280,073,197,
579,158,653,148,155,060,685,093,932,210,695,032,062,891,198,292,564,901,401,
296,712,965,113,185,258,849,356,321,936,107,119,530,952,802,145,472,078,980,
012,992,356,647,017,299,022,066,326,280,448,149,623,898,428,373,142,031,168,
279,162,316,666,984,704,795,802,976,914,967,308,475,907,407,158,669,110,099,
435,262,597,846,686,770,730,326,343,308,905,542,526,994,306,362,759,365,403,
892,701,624,103,597,233,477,322,706,280,241,032,490,876,898,666,939,241,949,
390,549,003,743,838,328,096,781,442,926,342,107,852,187,331,942,093,377,578,
319,563,849,246,826,820,021,168,602,451,194,631,435,673,278,700,882,336,720,
029,786,103,386,643,089,179,515,329,496,185,190,224,980,207,378,936,376,984,
747,075,935,104,547,113,428,367,056,830,916,469,673,283,704,126,212,995,385,
406,869,624,205,945,144,122,855,111,197,290,223,219,208,503,422,629,122,414,
888,820,119,460,828,856,698,082,517,339,267,608,709,300,634,464,301,050,259,
363,346,113,112,992,367,340,358,972,724,331,093,187,449,317,373,126,665,417,
298,298,551,372,707,037,427,586,592,506,370,745,969,926,668,694,481,120,482,
846,605,702,220,853,317,932,463,351,068,620,203,714,601,116,669,282,965,524,
524,456,926,404,316,449,336,475,177,109,030,190,157,510,784,778,091,623,710,
654,953,569,115,110,237,251,594,556,641,001,007,929,758,237,957,347,553,649,
528,921,297,892,280,926,076,436,053,213,218,691,496,813,942,885,679,744,097,
605,879,859,091,891,270,215,512,574,402,369,870,597,409,709,674,243,953,131,
612,284,379,963,220,576,016,949,854,818,794,097,420,966,458,033,136,209,078,
784,571,206,234,029,516,806,094,190,022,306,365,108,648,161,754,233,848,669,
560,337,459,130,122,015,774,496,734,080,974,365,846,456,536,331,630,558,018,
584,423,299,569,286,729,211,376,050,332,366,953,459,792,331,648,896,418,508,
133,631,279,359,268,705,446,592,891,085,844,348,653,559,256,832,490,804,559,
072,019,486,887,358,827,724,239,698,184,248,993,975,535,225,837,298,132,336,
862,908,465,989,768,574,093,192,282,937,494,997,024,433,349,091,712,871,054,
487,726,250,986,567,145,671,120,488,389,040,936,346,385,883,746,650,399,747,
076,355,462,303,682,086,515,254,754,586,363,920,704,840,682,909,008,256,661,
848,276,277,919,227,992,106,352,219,676,765,476,291,348,273,896,758,454,184,
187,556,688,719,939,167,167,225,188,140,298,111,961,643,284,723,500,129,692,
689,168,681,065,412,858,629,180,930,669,339,217,135,399,054,161,700,085,336,
133,644,243,338,803,256,297,179,545,346,186,726,095,389,586,183,579,358,226,
160,879,992,431,855,398,401,659,936,607,702,960,481,877,930,382,462,412,153,
597,014,423,119,378,336,824,976,950,305,335,565,905,294,371,034,524,275,814,
934,671,387,078,763,679,213,555,861,574,282,037,217,226,535,685,159,044,784,
514,131,801,861,116,034,638,002,601,345,727,149,864,897,017,332,691,592,753,
630,252,107,943,780,717,822,925,047,803,309,813,191,051,205,399,570,766,906,
304,314,049,053,438,757,910,013,911,119,199,775,470,109,163,605,408,612,404,
687,265,098,443,542,937,155,479,854,399,922,975,598,829,172,578,987,271,047,
616,917,667,194,500,682,853,104,524,752,751,823,071,210,741,664,453,522,620,
638,173,407,059,564,644,546,097,365,440,483,391,424,564,540,089,790,791,280,
197,151,013,867,872,224,747,920,729,917,716,810,953,944,101,310,640,604,312,
496,125,097,807,045,972,804,345,242,946,622,784,285,265,091,028,727,633,104,
290,839,271,025,081,453,236,958,685,283,475,675,648,456,557,280,176,980,919,
502,405,068,859,532,458,044,724,767,961,358,015,019,587,538,622,971,516,623,
553,710,366,963,194,641,801,459,755,972,880,494,578,863,177,415,107,218,092,
762,636,687,598,549,931,710,539,842,707,528,194,462,838,911,848,186,982,373,
625,133,986,966,324,921,344,431,930,487,725,796,725,612,303,470,098,063,860,
575,833,840,608,299,355,310,305,473,156,332,608,720,085,899,518,452,902,223,
101,143,370,059,047,074,650,212,141,432,781,310,264,730,066,525,516,659,865,
354,768,712,669,741,827,859,496,952,576,653,978,549,137,998,714,358,929,868,
380,526,153,292,348,915,410,444,372,549,683,782,946,498,852,440,213,881,682,
280,340,771,624,520,391,052,708,050,553,386,900,932,536,361,221,207,957,241,
732,313,682,845,323,534,241,921,009,940,339,167,283,368,951,572,557,209,145,
585,622,860,923,602,112,543,851,785,536,665,296,627,919,093,170,785,456,718,
027,853,652,115,465,680,307,125,321,857,003,214,246,582,777,654,219,229,468,
948,174,484,700,723,070,097,591,220,718,327,040,448,278,102,872,297,290,288,
268,309,253,840,383,012,924,343,237,409,370,922,084,995,947,274,715,884,846,
273,539,268,221,280,634,150,961,896,751,242,420,456,386,201,832,975,219,071,
732,769,129,623,144,513,688,778,846,628,895,607,879,592,452,400,653,842,458,
049,452,521,747,820,991,792,873,351,911,657,970,420,104,120,393,230,155,726,
802,056,421,951,651,124,174,123,642,773,209,069,735,000,194,362,831,051,055,
934,863,313,099,240,254,641,111,092,301,139,725,300,465,882,249,505,356,205,
650,577,306,824,222,635,195,802,496,454,240,194,976,336,096,809,362,699,344,
171,855,643,887,947,337,547,635,202,898,030,582,641,730,699,696,590,906,022,
027,488,142,966,818,480,714,117,791,348,491,563,046,827,259,006,083,646,480,
009,880,628,427,689,964,330,236,742,269,731,490,124,832,671,900,678,154,118,
080,227,220,038,762,038,689,317,095,280,952,491,340,311,454,770,215,550,338,
401,803,652,896,468,644,013,621,347,375,009,812,106,030,887,083,308,762,777,
116,832,166,723,315,179,954,351,155,704,081,461,524,238,682,603,271,785,246,
140,539,371,860,831,020,443,491,857,394,629,082,135,744,826,621,046,954,716,
751,485,353,975,544,403,745,207,319,816,011,412,390,213,850,965,484,381,674,
081,547,030,572,374,154,148,743,201,294,290,271,519,866,795,425,121,483,461,
869,348,641,894,337,045,680,322,810,039,498,075,264,482,337,955,407,217,216,
580,310,824,427,384,811,466,840,684,426,937,618,399,950,483,175,622,445,168,
738,631,818,178,966,636,196,621,215,975,543,095,110,686,678,067,270,962,116,
347,012,544,701,066,720,944,125,034,463,853,252,751,681,428,460,712,410,751,
169,304,167,928,674,977,607,276,457,668,001,995,072,272,676,292,211,541,749,
991,748,998,011,086,650,720,089,515,520,882,446,898,342,991,128,273,703,518,
714,755,760,762,816,905,668,785,085,188,689,449,814,332,655,862,843,085,485,
668,806,045,971,186,401,754,058,367,856,653,785,257,467,360,531,981,806,251,
313,188,138,326,953,163,149,701,678,875,981,302,860,382,149,160,434,962,558,
091,619,697,851,366,394,695,695,181,553,797,338,658,942,405,798,530,067,983,
773,180,666,776,844,636,424,243,154,711,911,607,152,937,586,008,020,105,660,
904,425,581,429,063,834,249,013,136,786,029,947,064,239,885,507,389,099,941,
231,596,045,455,135,996,739,311,791,046,642,646,981,443,025,720,336,590,191,
600,434,331,692,484,668,627,058,407,811,989,533,696,189,907,444,973,099,648,
319,113,685,416,800,921,579,854,611,754,657,984,661,506,735,411,822,170,572,
368,717,423,193,424,881,070,634,405,130,518,046,761,538,452,156,938,911,243,
047,947,390,367,301,236,385,969,361,215,494,512,199,939,393,218,663,209,921,
136,964,805,058,112,311,281,878,331,169,582,737,749,623,370,081,276,487,577,
338,259,860,120,446,713,257,971,712,312,921,230,822,947,174,954,833,352,641,
818,970,587,993,693,692,743,587,721,257,709,892,197,013,086,264,707,081,515,
272,253,611,542,164,874,376,308,505,829,419,951,261,101,932,483,294,593,403,
339,307,890,027,307,483,561,132,884,484,291,433,963,996,970,393,017,242,294,
271,693,809,559,751,485,061,595,296,710,975,782,607,004,306,700,233,730,259,
007,558,101,358,562,481,601,209,245,423,794,047,023,726,631,492,349,972,499,
315,663,804,734,105,324,222,735,288,544,338,347,180,746,126,101,629,371,520,
886,646,229,911,762,793,329,426,172,979,204,788,649,765,381,190,046,211,873,
063,958,778,079,973,456,186,809,485,145,300,135,527,722,314,008,192,462,009,
437,557,132,422,805,583,323,030,724,105,281,189,325,853,463,738,299,933,587,
747,846,631,881,051,246,882,412,708,545,481,348,994,622,553,028,480,170,061,
786,411,437,899,283,046,894,769,557,678,139,051,117,062,706,074,656,578,826,
566,614,964,031,781,992,416,256,370,641,332,606,952,163,668,704,185,479,539,
751,353,704,717,446,583,885,947,536,403,521,942,337,071,556,469,337,091,750,
690,691,546,996,005,624,138,608,049,986,936,964,758,000,231,274,290,047,064,
711,285,303,717,319,033,984,793,481,377,505,558,927,278,776,492,164,093,071,
629,781,695,225,159,832,539,508,753,113,600,227,633,323,446,557,650,677,854,
786,627,660,208,891,267,589,395,551,532,363,410,907,952,038,589,478,807,118,
355,699,003,069,914,837,892,643,408,212,621,516,585,771,634,381,979,176,262,
805,425,759,928,948,190,126,581,343,521,474,605,197,572,247,765,728,581,556,
223,113,317,247,201,856,315,632,962,975,461,149,619,184,665,934,477,501,536,
947,898,705,569,086,496,459,868,446,515,826,925,821,052,926,026,103,682,501,
876,022,659,663,074,054,219,563,641,894,749,269,331,844,133,089,657,520,029,
842,800,237,134,919,542,663,905,752,038,372,461,491,272,130,672,517,702,259,
626,432,262,301,136,707,508,905,287,084,080,639,869,522,284,513,810,097,245,
627,774,037,575,771,468,207,586,221,249,400,872,690,670,502,252,257,489,006,
607,384,312,986,380,941,240,438,490,721,091,124,699,288,474,820,505,629,575,
373,807,300,583,120,748,159,954,819,048,092,204,606,861,727,743,350,058,509,
231,730,012,527,606,428,965,880,757,496,453,689,037,583,052,443,616,217,210,
986,499,062,617,477,346,278,658,501,661,756,489,216,103,867,027,977,169,878,
722,905,425,423,125,232,497,202,811,395,448,200,714,777,212,781,857,367,954,
688,090,242,847,963,541,174,182,410,550,999,058,722,782,188,088,822,636,311,
835,849,501,809,831,832,413,585,452,483,078,612,257,453,307,485,239,536,993,
194,458,909,781,869,260,206,355,195,785,782,471,898,227,056,285,585,335,765,
692,182,116,508,582,487,746,600,633,636,141,581,086,003,848,615,455,552,534,
945,137,305,760,017,491,110,702,515,037,423,155,004,351,757,451,457,387,950,
354,565,178,449,738,793,389,499,533,334,684,245,094,103,034,038,262,728,399,
133,048,554,639,878,442,113,838,100,332,022,917,451,061,283,528,637,899,658,
972,232,368,979,973,217,648,493,849,705,952,984,804,999,512,459,976,882,513,
359,996,898,224,785,993,239,859,697,808,489,333,717,505,219,024,722,719,634,
752,469,882,729,658,079,219,352,650,572,239,277,553,923,848,911,845,398,089,
085,221,939,322,854,023,940,264,073,266,765,413,955,104,139,431,829,485,350,
482,487,448,048,275,618,050,351,922,097,120,136,899,525,650,861,489,085,910,
935,949,768,488,935,950,106,244,171,541,341,425,188,559,621,877,967,794,331,
235,100,976,117,346,505,460,917,254,488,531,765,320,544,617,080,778,543,148,
171,622,723,158,324,785,274,564,019,123,330,869,465,400,569,884,983,135,400,
484,512,560,643,578,330,123,599,423,212,379,440,354,992,769,361,527,398,532,
312,243,198,624,564,290,178,907,863,835,934,800,085,910,000,800,833,402,368,
297,305,982,772,231,466,393,934,007,239,753,429,341,382,815,455,653,056,103,
025,769,822,944,979,918,907,477,558,644,804,389,434,709,925,892,044,896,604,
129,207,258,088,483,847,280,001,390,206,247,210,509,064,449,374,208,584,919,
501,561,166,777,079,318,485,097,864,884,125,200,560,289,211,594,248,128,901,
347,770,228,114,772,919,108,789,118,578,212,072,933,159,268,327,734,524,549,
240,022,658,594,725,731,960,207,556,458,629,219,672,982,819,151,614,957,802,
146,261,489,736,367,128,050,530,152,987,969,487,219,188,468,840,195,822,148,
892,960,694,744,778,476,446,123,942,537,812,499,397,513,600,771,542,509,585,
054,274,281,593,882,088,504,050,217,061,401,467,378,491,692,950,590,084,404,
431,630,499,997,980,342,828,305,178,728,844,686,501,185,715,122,378,564,655,
352,251,985,289,636,781,716,234,031,684,614,896,196,922,942,627,921,497,709,
007,244,451,871,162,029,650,924,145,722,914,161,029,942,071,675,203,534,404,
645,255,856,509,950,407,700,603,696,092,026,990,256,584,018,886,000,581,567,
091,160,005,707,395,880,003,613,685,602,928,147,611,962,157,112,577,663,548,
365,345,872,601,975,530,805,004,890,043,246,328,179,573,081,432,330,619,501,
963,795,060,860,164,459,753,152,343,460,893,995,747,133,389,093,983,286,600,
363,802,086,089,691,019,473,016,107,010,109,790,721,785,100,100,873,994,332,
125,988,866,214,550,606,075,250,648,137,336,314,886,293,162,911,177,270,901,
136,079,291,648,782,659,757,604,364,243,878,160,632,124,201,129,096,348,935,
066,409,464,480,502,548,839,785,928,490,331,456,006,082,994,100,806,678,319,
736,630,372,456,594,602,179,462,193,631,545,311,719,128,706,091,004,014,788,
836,880,862,014,292,702,052,037,475,837,188,295,923,780,580,867,927,055,478,
183,047,271,780,071,024,127,382,298,100,302,877,271,730,536,797,496,209,709,
311,967,826,500,511,813,075,454,668,099,970,679,095,088,880,715,391,268,894,
845,374,884,628,788,935,623,252,688,034,709,444,443,347,586,238,544,508,238,
577,989,871,323,319,693,336,024,906,321,619,614,209,664,922,994,158,819,257,
057,131,712,204,796,681,335,491,247,390,754,545,574,764,447,110,509,673,712,
508,806,658,825,954,230,348,683,412,945,829,931,716,209,797,312,488,598,558,
391,033,062,397,557,522,792,232,335,717,074,749,057,988,657,479,873,614,556,
099,153,845,884,634,169,642,076,307,128,990,023,296,195,721,502,390,744,502,
215,516,455,287,217,827,882,050,523,933,904,911,057,470,801,480,582,438,006,
430,611,636,084,715,786,436,883,333,773,309,110,286,858,077,804,235,999,004,
303,297,589,040,300,027,182,557,234,330,031,943,274,085,013,750,963,716,939,
827,206,311,621,925,422,928,652,529,866,162,718,138,604,557,138,044,916,531,
602,355,253,492,067,772,399,187,078,936,495,139,437,338,779,973,327,638,403,
208,036,377,606,998,101,712,315,443,823,228,663,225,995,192,627,282,389,241,
586,826,342,601,456,113,647,468,957,127,616,668,190,888,500,239,717,202,493,
703,142,125,122,077,041,206,129,734,175,178,148,447,127,676,351,876,714,075,
312,813,033,655,648,999,593,073,878,346,168,154,039,739,423,878,416,036,255,
021,272,470,026,995,829,354,750,646,270,760,890,319,793,890,067,869,443,887,
058,350,736,376,566,873,196,931,788,626,064,000,717,348,717,641,111,508,838,
841,885,573,266,617,520,666,703,599,081,637,333,059,523,324,815,385,175,529,
110,966,486,048,760,054,931,878,248,638,481,620,809,847,996,669,037,949,057,
998,063,378,816,013,729,741,585,963,548,471,471,920,585,758,144,263,043,184,
864,651,921,718,506,645,373,048,487,587,189,891,041,185,909,219,146,956,326,
154,671,748,865,056,768,020,796,283,714,345,900,559,388,953,690,269,896,336,
432,888,431,742,773,150,786,498,097,326,489,951,549,559,080,339,497,694,557,
097,974,838,832,247,641,645,976,264,757,446,271,820,358,120,689,092,857,405,
835,997,370,002,093,294,891,244,096,855,304,963,559,415,301,022,585,007,915,
972,746,307,932,525,518,680,261,718,481,854,501,127,577,816,624,546,521,693,
377,806,171,203,491,559,250,892,437,926,581,202,002,700,706,724,027,849,828,
939,981,038,546,276,402,863,300,156,092,774,805,065,831,438,427,747,407,067,
082,680,989,886,263,708,024,271,609,446,244,404,985,070,861,080,073,375,335,
067,143,985,591,365,431,344,425,862,798,921,549,482,273,798,185,323,131,686,
000,063,077,550,402,612,073,008,088,052,643,484,956,865,671,207,707,309,426,
890,027,004,116,082,458,671,603,710,160,262,615,309,690,844,361,068,343,772,
761,257,744,184,229,415,325,781,342,296,462,596,962,437,463,174,335,202,888,
074,456,207,391,051,906,724,116,189,139,039,856,746,945,801,957,660,550,449,
124,584,212,556,953,055,256,045,757,308,142,718,639,742,854,217,551,430,955,
582,044,344,126,667,353,878,356,308,724,311,053,890,803,688,139,718,556,211,
109,829,720,971,208,010,415,665,154,285,943,148,664,478,934,088,491,470,334,
397,969,969,876,990,701,912,828,284,986,758,200,733,799,881,643,295,248,601,
456,844,343,564,063,539,453,767,312,092,403,856,939,782,992,326,591,687,040,
926,556,141,893,231,729,195,958,129,209,029,862,514,762,389,764,308,035,050,
761,284,089,968,048,770,620,633,356,037,465,952,762,803,338,240,153,818,769,
562,344,654,330,997,190,645,570,803,917,141,836,930,321,552,081,439,005,666,
026,141,182,723,355,637,029,108,796,561,597,536,435,370,914,044,596,283,504,
169,193,574,939,422,172,266,574,470,480,953,591,524,954,188,320,069,163,051,
115,804,181,387,393,603,515,553,772,190,401,450,320,920,843,918,193,946,571,
140,347,911,055,847,927,344,155,841,732,742,262,527,029,340,717,127,590,984,
714,677,838,148,226,388,613,104,849,545,244,531,956,882,873,719,414,520,736,
454,491,181,970,834,717,467,718,369,248,825,637,723,009,344,817,464,627,785,
845,378,671,594,322,035,519,980,227,716,488,537,767,105,328,344,356,858,660,
910,761,276,897,679,436,921,544,329,403,340,414,174,338,448,133,689,515,703,
859,617,370,094,270,329,221,667,167,246,505,836,986,700,133,271,837,052,184,
894,795,883,119,899,824,367,753,318,317,259,333,973,641,333,057,003,316,253,
133,617,172,905,585,636,219,580,845,499,229,794,816,684,891,357,536,828,023,
437,430,882,789,719,441,046,227,134,777,174,202,898,916,487,576,289,600,366,
962,657,754,019,653,545,706,214,030,021,440,555,271,384,962,746,875,341,182,
033,150,385,072,604,503,492,415,177,056,468,675,773,340,782,316,337,865,352,
753,126,117,004,780,366,116,418,845,924,182,780,379,507,143,639,730,541,344,
504,728,407,884,497,540,056,677,553,136,983,714,878,095,424,883,657,577,219,
876,828,088,265,755,777,040,607,621,460,572,591,940,759,144,165,209,496,576,
690,628,631,180,975,924,429,153,700,085,608,047,779,788,647,391,523,695,875,
447,701,494,624,429,430,321,331,021,960,009,006,397,249,762,697,951,705,613,
824,695,864,948,157,370,676,514,336,566,697,143,815,391,477,967,488,245,673,
227,258,251,442,345,249,444,910,287,446,764,477,353,574,964,188,448,492,982,
911,033,767,886,711,968,061,342,660,508,140,188,490,483,140,198,440,457,111,
497,772,827,468,996,874,558,277,732,421,625,045,838,839,592,959,644,312,606,
911,649,911,613,011,758,841,597,141,817,245,620,173,134,164,608,979,443,112,
796,131,587,003,094,690,172,029,430,829,863,860,028,765,916,594,422,058,120,
710,781,494,507,604,707,304,770,512,270,291,829,078,053,935,392,257,065,103,
697,356,513,608,596,144,447,486,546,002,555,846,528,377,099,174,019,709,521,
061,339,165,501,902,454,076,075,586,329,836,546,055,512,427,176,487,519,384,
639,501,059,991,383,414,662,290,636,059,782,334,913,358,691,385,022,099,993,
449,309,560,344,075,193,396,261,530,279,696,304,171,276,126,350,881,062,342,
410,919,271,626,695,452,822,705,830,682,225,456,284,530,029,652,878,465,457,
998,048,642,733,661,668,636,336,280,384,944,408,547,930,770,924,084,117,752,
411,209,722,719,402,319,313,302,377,345,388,545,381,498,133,909,453,378,585,
623,910,704,097,790,936,387,621,651,097,772,769,350,186,808,201,046,363,400,
230,831,014,045,405,970,880,529,018,417,497,769,477,441,866,648,346,025,410,
533,077,445,463,947,444,198,697,714,732,258,818,521,447,210,320,111,446,181,
177,381,067,174,607,121,067,400,819,071,075,377,471,589,095,702,164,090,120,
957,755,958,801,041,834,895,491,159,850,164,916,356,496,527,349,727,506,873,
163,224,642,261,144,817,118,775,948,967,777,095,690,786,632,851,858,895,684,
442,368,602,929,226,765,372,696,506,637,626,305,695,839,664,455,710,464,723,
400,829,331,652,625,728,305,799,529,863,059,068,430,779,257,201,241,037,639,
236,024,957,350,668,873,141,369,583,928,906,786,939,403,575,435,702,876,981,
027,185,448,821,333,864,783,095,685,815,062,261,477,388,646,230,478,355,691,
415,099,888,419,597,606,896,247,820,319,796,169,344,330,291,227,572,949,997,
426,717,241,664,216,611,013,135,800,901,644,336,718,955,747,575,952,634,391,
722,662,006,710,758,754,747,123,214,137,631,127,117,893,449,093,138,653,402,
353,739,214,008,897,193,621,524,838,988,737,078,788,250,502,394,414,744,796,
309,706,495,129,372,871,220,643,853,204,039,818,202,524,567,866,140,744,498,
420,628,134,051,083,253,639,113,699,715,785,849,137,572,709,787,514,431,891,
356,548,791,243,974,118,883,739,178,101,504,628,866,684,406,812,413,830,976,
663,671,028,616,947,615,076,156,699,865,024,834,432,915,244,639,009,777,103,
347,013,677,909,367,785,745,922,570,321,030,736,674,091,832,653,510,149,497,
235,397,790,797,528,852,724,043,410,543,826,601,819,927,584,909,657,166,242,
552,958,411,957,742,075,425,392,234,678,638,304,059,298,846,045,755,156,074,
860,100,442,411,893,997,814,658,721,257,819,924,546,370,590,831,718,549,617,
794,050,032,868,811,960,388,967,188,719,329,550,639,621,115,438,379,318,844,
867,225,069,343,359,456,427,200,298,194,030,640,387,069,102,641,723,391,693,
658,509,750,402,465,098,160,567,113,818,896,446,893,774,438,693,285,731,481,
384,244,325,164,088,319,196,392,454,627,133,109,595,390,407,380,783,704,174,
094,293,207,537,338,523,542,931,050,844,865,869,334,070,849,646,582,138,928,
424,179,273,421,170,959,251,119,556,287,930,717,511,483,339,713,933,041,116,
103,990,739,187,648,524,448,885,028,092,220,119,305,905,138,102,275,872,508,
253,886,492,702,135,097,344,343,004,441,041,331,392,996,885,994,975,433,143,
147,759,813,024,278,940,136,899,302,165,526,818,066,663,332,473,072,104,570,
604,468,839,370,140,622,550,099,594,283,802,484,225,129,413,428,949,324,527,
521,854,615,453,665,571,107,486,607,396,313,105,672,915,666,020,223,294,104,
603,944,825,522,464,140,363,777,416,899,802,585,541,161,485,761,317,807,631,
389,143,796,712,270,704,470,121,246,240,722,628,067,979,070,072,579,971,575,
004,016,745,690,098,066,340,566,169,941,180,602,877,975,315,330,707,589,735,
698,631,938,041,229,802,872,762,545,046,146,018,108,656,416,907,059,320,851,
264,290,791,634,738,084,105,449,031,111,029,097,502,472,668,615,446,574,067,
955,777,137,335,669,065,106,015,928,889,076,548,894,477,814,868,611,845,882,
739,945,601,863,904,957,364,698,065,648,632,292,550,927,153,517,891,673,617,
620,230,547,549,041,043,022,883,709,586,934,261,774,987,446,093,119,741,681,
007,272,288,115,990,438,429,421,210,466,320,523,343,127,446,297,682,281,950,
315,849,462,001,282,049,255,656,059,529,726,209,014,486,291,645,028,929,342,
640,380,405,202,067,628,088,853,554,460,516,258,901,124,203,910,752,414,652,
033,082,221,319,612,706,647,300,935,580,096,336,759,985,140,573,964,227,260,
334,941,990,765,506,038,156,869,463,559,440,795,024,256,088,482,448,269,805,
551,208,239,788,217,725,946,618,336,092,592,791,966,678,097,982,472,252,270,
761,525,634,475,116,297,723,690,124,221,159,040,323,833,901,935,126,371,982,
888,228,177,821,360,292,934,421,250,576,434,327,089,938,788,284,961,150,066,
588,621,161,305,187,176,998,785,687,958,158,144,933,042,864,000,055,750,707,
761,504,825,480,191,686,209,876,855,903,933,062,462,930,478,965,565,711,138,
088,315,586,597,645,870,827,688,091,601,187,421,318,846,963,017,266,932,748,
826,370,837,447,800,337,142,166,496,327,577,409,459,081,360,806,573,792,633,
915,250,600,737,843,453,197,410,486,511,374,389,999,307,125,331,549,264,379,
385,741,554,401,358,245,078,921,175,734,512,438,470,096,747,685,178,409,789,
945,746,179,505,140,985,456,847,098,382,069,208,276,424,304,055,241,885,841,
500,818,657,010,375,563,850,803,962,299,080,497,671,046,161,008,609,274,841,
282,697,427,546,774,711,633,917,612,819,101,751,039,010,787,040,668,720,232,
240,885,882,896,430,441,552,632,316,886,850,774,899,968,013,143,003,326,020,
241,335,459,471,342,876,880,205,519,499,832,772,989,362,414,998,622,271,702,
579,677,607,244,934,967,625,853,001,042,099,697,489,079,344,680,659,370,028,
131,994,495,486,934,707,266,359,435,360,088,747,011,958,273,139,815,216,262,
867,084,868,127,071,895,397,369,686,299,179,979,475,904,279,777,724,043,522,
063,292,876,707,551,765,999,197,348,510,183,897,399,813,188,122,688,020,652,
794,473,395,188,392,547,898,309,448,014,080,640,725,634,318,971,348,155,908,
024,121,897,721,342,658,820,226,681,646,076,654,952,260,653,514,633,923,450,
172,890,483,470,325,894,677,549,455,342,171,517,588,961,203,429,966,860,234,
839,955,037,234,274,006,485,523,934,342,297,854,587,063,826,112,179,906,975,
681,908,438,821,039,915,042,742,791,678,241,836,030,873,631,775,149,483,926,
463,894,117,126,501,403,928,297,201,142,835,370,261,032,284,997,785,172,445,
245,830,133,834,468,350,965,004,445,372,260,475,768,187,264,276,212,109,282,
939,089,164,407,482,710,797,156,878,194,507,423,934,295,130,677,233,656,608,
590,243,526,786,299,551,789,959,069,248,478,442,499,789,842,714,522,197,459,
719,451,502,067,483,070,551,429,674,539,802,170,568,611,751,173,976,669,656,
824,751,291,506,363,626,858,920,936,016,007,631,692,343,804,559,813,936,502,
622,469,321,642,942,543,106,455,224,697,510,108,934,807,339,272,601,741,798,
361,197,547,377,785,712,124,953,371,341,503,634,063,280,815,788,642,223,804,
493,413,923,734,202,508,545,583,938,097,846,380,225,991,873,930,129,785,878,
998,942,400,262,892,083,668,579,569,004,969,845,989,813,013,832,881,570,072,
421,938,806,070,485,719,168,996,810,935,639,225,590,325,576,534,332,065,016,
525,173,492,026,351,278,952,895,992,267,445,479,847,619,733,838,115,082,877,
432,362,821,756,212,380,602,531,246,499,817,480,774,213,064,790,730,615,453,
612,938,431,875,133,801,566,359,779,413,618,416,260,532,338,666,673,654,648,
691,751,735,484,011,705,592,647,975,073,676,548,289,184,097,925,250,506,609,
850,853,594,932,282,402,736,266,715,838,629,212,011,023,960,855,673,215,019,
225,157,831,910,634,163,244,894,398,989,641,841,233,571,551,993,710,366,472,
591,804,722,002,918,121,823,000,079,972,568,193,260,377,829,598,122,252,023,
598,568,607,355,068,381,174,075,464,375,581,285,311,893,658,441,765,009,919,
953,288,317,312,174,003,318,789,671,841,333,094,659,355,604,920,876,641,976,
501,526,773,742,792,000,484,365,045,388,087,836,310,554,245,896,521,676,487,
552,080,536,208,242,006,614,549,205,829,469,166,541,876,590,736,733,252,282,
766,625,970,689,765,675,522,509,544,743,608,411,448,643,424,520,009,318,722,
409,452,832,874,561,768,275,908,468,594,025,638,026,444,992,930,494,251,278,
850,695,302,650,099,427,369,915,578,075,399,891,746,985,396,432,206,710,786,
019,873,698,884,993,631,501,856,456,701,792,177,238,430,676,071,085,582,457,
779,691,047,874,914,941,440,804,414,999,737,454,391,697,699,692,667,585,303,
275,767,790,686,984,090,863,971,615,582,160,379,307,222,046,272,865,464,562,
139,836,139,982,288,789,434,650,361,083,872,074,264,143,193,881,770,223,439,
229,168,028,286,590,802,238,413,058,438,661,933,824,073,824,491,260,549,939,
565,630,640,123,329,153,315,149,367,120,411,436,870,407,438,885,509,769,722,
143,050,968,558,888,229,778,923,070,805,750,110,280,519,882,784,870,540,563,
400,654,596,202,714,054,688,870,503,279,386,538,285,958,101,605,145,522,833,
933,715,964,311,613,295,042,943,081,059,583,856,200,318,215,302,392,239,112,
847,477,117,072,534,389,636,043,438,005,684,424,813,151,299,018,806,066,483,
260,166,100,869,970,974,148,152,393,338,865,333,138,377,251,164,775,602,641,
822,028,230,449,395,377,223,204,277,342,435,041,901,112,994,152,320,941,412,
702,587,324,358,573,701,399,874,193,596,249,716,052,622,702,348,446,295,862,
577,603,396,679,714,501,388,860,682,905,836,126,053,221,650,231,819,463,065,
266,959,345,492,439,085,523,349,865,939,361,209,557,376,957,932,412,269,730,
712,246,708,393,836,432,578,345,089,546,165,446,997,325,757,276,365,558,957,
101,107,528,258,047,076,770,107,738,628,724,896,071,334,666,991,397,536,461,
613,801,505,088,319,516,977,417,655,635,196,278,826,364,192,960,416,358,274,
139,716,716,683,832,161,574,454,978,107,979,000,730,591,064,411,750,401,819,
878,073,818,477,372,311,823,817,398,046,040,916,881,847,640,957,491,330,055,
262,676,921,732,436,882,001,494,181,844,734,015,437,877,025,500,952,623,037,
285,750,692,969,359,043,008,194,806,802,428,226,744,732,465,895,175,148,680,
022,698,442,588,038,865,965,363,816,250,258,659,933,811,033,117,624,058,191,
838,752,721,393,288,070,773,879,649,060,380,970,349,398,037,371,088,873,653,
800,971,116,440,110,727,046,932,138,172,611,390,509,208,962,567,977,678,450,
365,402,983,051,255,351,319,569,003,174,591,785,230,649,343,833,900,424,381,
993,769,812,118,255,961,894,879,686,444,769,798,907,192,715,690,789,588,875,
757,330,598,150,995,869,283,121,164,448,998,090,173,553,234,176,256,187,065,
814,983,952,453,577,608,151,930,714,515,952,764,485,271,537,032,496,875,114,
096,744,004,208,830,962,451,607,767,602,802,314,358,812,699,707,915,056,646,
554,584,946,565,521,447,453,467,647,247,692,913,623,389,349,093,114,506,186,
037,725,325,043,449,961,892,199,093,599,344,450,392,418,529,424,623,284,767,
614,950,034,404,161,213,640,308,747,782,353,818,389,009,545,600,937,933,189,
391,505,897,390,752,077,025,405,883,459,277,538,328,001,074,885,058,612,654,
014,821,205,147,326,313,218,631,177,570,617,171,194,948,651,774,481,210,910,
444,227,689,201,352,743,407,423,234,005,533,195,475,241,819,362,233,019,502,
739,098,936,557,960,704,532,325,367,570,241,712,331,436,189,731,157,972,744,
498,021,460,349,649,153,684,148,327,564,075,483,909,225,021,574,330,987,256,
949,797,512,320,600,543,351,496,852,093,935,150,985,772,194,475,750,159,626,
177,611,390,487,705,032,379,096,872,763,013,548,792,288,974,182,454,856,171,
574,443,309,095,054,065,046,778,961,886,495,233,653,251,769,455,499,090,573,
087,473,261,100,983,989,413,401,611,118,591,298,891,891,393,178,895,947,870,
352,847,827,773,876,712,822,376,847,849,832,082,699,460,280,911,973,249,350,
943,458,658,979,795,336,391,041,737,978,866,044,267,526,147,414,384,378,327,
803,160,647,657,552,092,123,667,861,107,945,185,994,161,713,804,606,338,537,
043,917,706,200,683,110,801,459,441,111,617,661,803,320,100,010,235,832,805,
275,352,910,672,228,292,515,638,727,048,040,282,176,279,752,513,345,497,818,
005,789,600,634,151,648,706,681,699,461,217,944,987,057,849,668,359,659,956,
863,708,145,473,026,305,659,538,616,706,757,220,865,819,647,300,141,236,168,
860,349,740,662,354,810,250,279,777,474,966,009,218,614,329,206,805,061,717,
893,225,905,053,017,695,612,338,934,628,692,648,976,970,672,902,174,650,455,
397,205,145,152,226,987,430,475,467,396,751,302,416,903,882,985,820,904,947,
323,951,150,528,683,300,733,907,383,461,976,737,548,597,330,706,225,927,526,
576,021,340,465,750,943,125,098,320,398,108,337,334,029,508,373,637,436,142,
054,493,367,386,293,453,729,652,022,625,169,064,163,006,990,489,686,106,956,
991,547,083,859,597,424,582,327,705,633,942,644,471,828,201,809,624,283,453,
281,834,426,036,683,478,013,250,252,139,721,303,331,883,135,823,481,713,217,
740,980,436,679,607,155,452,308,676,653,167,670,803,235,673,647,542,903,250,
352,136,021,250,201,775,966,575,708,665,217,830,787,111,698,187,061,668,692,
219,540,470,838,519,985,245,760,639,733,095,651,654,887,103,813,908,437,509,
213,722,871,921,365,562,034,366,772,234,425,602,446,309,160,169,968,120,972,
373,693,992,436,448,730,595,650,746,152,935,121,950,366,350,972,668,350,666,
593,232,651,162,686,951,067,908,387,721,597,277,499,995,554,517,004,938,320,
604,597,125,222,183,641,917,372,338,597,273,353,130,434,476,579,582,237,040,
607,317,846,856,002,842,386,300,430,242,800,347,287,430,807,425,714,305,432,
809,131,706,025,540,530,057,304,356,648,802,071,436,070,639,382,553,606,316,
967,892,004,014,691,198,603,534,589,725,566,826,707,534,047,025,519,561,280,
748,761,032,259,243,889,036,973,970,337,245,210,900,379,515,746,198,690,158,
443,465,477,031,936,056,113,382,626,611,848,431,663,485,057,680,008,769,688,
311,960,889,424,846,455,937,798,214,592,475,802,022,750,128,282,216,076,864,
980,123,275,113,779,418,970,638,661,398,899,572,886,070,514,622,730,902,051,
834,523,698,575,994,914,567,866,842,482,773,253,769,999,308,256,006,085,714,
188,839,388,270,500,123,503,438,712,889,279,690,665,952,694,286,567,021,598,
968,654,002,253,514,508,207,570,806,809,951,554,739,611,056,809,401,882,755,
160,224,607,986,426,643,409,224,623,660,691,869,028,426,209,411,985,897,780,
280,377,893,327,839,827,716,632,571,898,086,217,883,607,857,503,556,923,497,
238,252,429,960,741,530,464,585,061,868,021,141,953,565,488,059,337,639,341,
434,968,307,442,662,159,797,844,537,680,870,476,735,813,645,702,221,761,971,
966,551,725,282,252,071,729,841,876,489,011,979,260,902,694,745,091,640,834,
675,931,322,713,339,528,233,801,097,566,992,899,499,555,086,165,405,009,011,
692,172,608,756,454,941,920,463,281,104,148,597,106,267,946,442,554,771,263,
027,430,657,149,303,894,340,655,529,779,613,975,558,092,388,161,051,450,136,
438,528,142,788,840,572,712,354,417,365,066,353,847,255,327,226,848,450,133,
613,594,155,936,890,537,211,779,821,240,492,415,161,647,586,026,296,554,738,
352,638,649,716,420,145,921,378,807,537,002,958,193,064,074,103,093,228,525,
950,242,068,741,803,689,070,187,671,498,055,340,957,929,159,104,097,393,732,
396,115,864,308,252,936,573,496,000,207,884,688,629,754,837,351,500,058,861,
941,441,454,024,357,814,593,990,618,628,817,965,128,132,998,464,093,575,723,
000,442,099,705,164,499,243,758,038,076,325,522,651,480,657,134,173,167,242,
944,380,237,549,539,873,469,272,393,964,625,381,874,835,701,559,752,144,877,
753,420,250,440,934,269,695,147,610,208,405,901,729,726,686,800,919,202,512,
299,282,057,810,785,357,967,636,471,012,786,422,546,992,954,287,014,933,932,
336,468,995,769,852,257,570,212,693,355,737,402,602,499,820,334,693,264,043,
056,480,867,766,204,337,483,099,525,374,975,554,272,227,843,502,474,946,769,
527,342,555,557,592,829,405,268,856,029,250,065,723,540,967,274,387,343,276,
655,373,227,819,305,840,316,426,443,997,237,966,921,548,152,084,503,876,190,
837,054,141,265,375,227,380,207,154,089,190,418,759,322,235,550,635,340,455,
992,897,072,941,951,829,996,146,804,349,465,357,071,202,429,342,171,606,255,
409,571,596,281,240,476,759,815,159,000,960,241,009,026,358,239,051,008,912,
291,885,781,359,981,495,985,637,217,101,049,310,988,093,128,038,982,401,126,
132,536,846,182,164,127,758,038,448,441,961,806,470,872,490,635,656,368,858,
799,106,356,875,249,098,882,999,208,897,957,760,138,715,191,146,508,035,676,
469,854,295,542,504,473,355,462,444,768,608,843,994,304,792,648,409,934,512,
571,237,239,861,819,385,424,847,037,784,906,402,649,319,226,343,215,372,651,
789,563,659,361,560,669,928,016,916,662,455,666,512,515,364,537,313,871,241,
911,783,294,584,399,875,932,794,457,878,589,734,727,537,322,585,854,059,419,
151,547,195,152,412,713,958,716,545,763,313,837,819,007,593,420,005,290,493,
601,287,112,795,433,904,494,960,635,918,094,682,678,207,556,924,404,004,706,
138,962,235,601,464,464,192,375,584,746,927,733,059,091,439,703,327,750,485,
556,093,644,329,937,479,732,910,294,604,347,256,908,106,113,297,942,589,978,
934,037,210,248,677,335,087,973,398,613,727,957,993,035,379,243,862,143,177,
857,627,788,724,557,130,337,420,522,849,382,339,393,367,059,709,431,220,716,
756,902,014,304,236,792,132,792,355,521,989,557,690,827,810,664,969,211,387,
253,898,701,790,266,792,081,652,331,275,948,362,304,132,213,523,910,563,964,
100,377,191,853,051,186,974,118,182,808,439,409,006,736,724,192,814,144,549,
287,585,149,838,283,500,711,137,395,148,714,763,345,659,181,454,414,320,052,
884,760,837,850,562,564,670,683,081,862,604,923,898,339,596,845,390,413,660,
750,542,054,339,129,296,593,466,538,837,588,406,814,004,218,699,174,012,833,
476,909,793,278,468,999,626,746,812,920,971,560,765,590,653,204,612,969,278,
834,103,665,546,815,020,902,179,527,903,856,243,811,708,042,977,319,171,234,
853,717,644,437,525,725,137,426,169,950,951,190,288,652,541,096,096,087,673,
079,842,672,209,707,293,061,459,741,991,910,001,002,105,879,585,699,693,421,
096,696,290,770,162,608,542,887,093,089,749,633,092,609,419,053,356,638,402,
788,524,463,843,348,838,059,442,086,245,963,452,230,873,634,384,144,810,175,
842,639,952,806,091,295,929,697,910,437,793,964,331,892,337,258,169,971,926,
494,775,553,273,199,461,296,969,960,313,984,372,021,685,378,728,624,493,219,
315,317,149,454,424,296,163,751,100,878,984,744,321,014,778,555,397,244,820,
268,463,643,257,594,600,118,864,931,047,907,904,200,932,151,959,112,209,679,
123,342,502,340,755,950,595,922,055,127,244,025,953,420,670,313,291,109,929,
322,790,180,369,825,077,555,995,723,444,518,591,742,498,160,651,932,199,418,
289,209,778,832,538,448,619,294,295,780,664,028,072,336,313,447,383,049,881,
067,592,403,355,291,369,264,430,744,308,411,806,493,765,138,652,422,187,967,
330,407,006,910,757,368,308,902,628,803,360,458,531,683,031,588,481,850,448,
045,314,608,090,752,260,852,747,941,112,784,148,778,032,069,310,528,963,531,
033,444,386,667,176,208,147,166,015,728,524,728,580,058,253,174,967,043,561,
755,149,010,924,119,008,048,706,103,541,951,076,412,551,897,972,828,283,167,
522,234,953,235,314,255,939,228,150,183,134,529,506,605,193,942,331,495,970,
223,462,225,517,547,246,385,657,361,618,721,120,692,811,138,990,216,304,488,
079,571,460,480,200,359,047,653,113,962,763,986,813,860,514,450,893,115,281,
528,214,034,428,304,585,350,045,555,265,426,058,823,801,553,708,296,132,557,
887,471,886,813,393,541,387,631,853,568,752,309,492,612,233,790,591,791,850,
506,543,788,932,860,532,942,021,451,042,520,814,455,026,779,639,909,085,895,
042,247,003,151,568,717,527,447,026,647,613,454,863,143,400,532,639,031,416,
125,262,449,100,423,619,861,828,284,806,742,707,305,927,856,966,175,553,288,
034,751,677,000,721,316,298,031,809,034,368,249,177,458,213,774,162,343,432,
982,931,593,260,002,417,232,107,267,905,273,544,083,132,671,048,952,731,467,
937,724,396,704,949,920,264,084,425,020,578,674,765,854,111,989,379,384,457,
538,817,805,389,851,256,858,754,719,239,610,187,821,676,623,192,418,021,095,
070,307,186,638,240,765,323,540,582,773,407,614,251,113,739,622,947,818,522,
013,560,948,684,856,179,544,241,130,312,586,833,905,272,623,678,006,895,978,
097,715,195,904,280,614,761,588,118,822,719,216,469,334,562,978,198,558,571,
221,132,296,475,089,544,218,398,049,020,273,209,532,566,094,314,296,986,197,
188,038,547,233,209,133,801,385,892,020,382,744,991,583,119,685,129,617,463,
647,376,185,921,936,273,725,090,885,247,898,993,514,479,230,222,191,197,839,
544,623,275,098,812,388,824,738,471,934,473,617,211,592,483,633,944,937,199,
968,772,490,733,068,881,725,514,198,868,086,028,858,132,025,709,209,536,674,
629,227,944,627,194,997,665,023,525,641,946,241,686,196,211,710,919,408,292,
962,335,409,545,824,728,936,577,542,890,288,654,811,621,179,179,169,497,193,
089,442,366,305,180,140,550,855,390,333,919,417,102,584,624,581,594,630,009,
246,269,615,948,986,010,458,261,560,268,190,619,529,891,682,408,182,750,047,
299,147,707,393,552,357,438,195,202,200,619,073,561,650,722,201,322,826,689,
899,588,951,847,812,366,933,202,732,609,416,450,091,929,091,395,612,638,158,
031,633,376,737,309,671,372,427,899,136,316,387,716,660,606,281,415,699,144,
844,345,873,430,353,293,904,761,140,787,743,681,448,197,067,399,518,975,284,
546,461,841,214,917,023,874,859,551,081,637,793,607,779,812,843,346,681,548,
082,332,982,782,510,255,266,459,176,569,992,751,228,829,980,426,191,736,364,
167,370,151,744,211,822,789,892,568,079,924,620,364,471,359,044,247,479,819,
556,135,937,363,839,119,174,662,443,765,039,216,774,961,959,086,817,619,124,
959,709,282,546,593,155,837,242,434,005,502,476,373,621,915,041,957,638,010,
047,549,164,779,376,932,602,077,485,718,808,861,118,644,444,621,566,076,121,
503,696,869,032,196,727,527,646,300,485,914,731,006,650,424,829,071,106,630,
620,786,471,527,100,015,963,035,661,827,684,995,944,245,210,369,288,655,166,
548,168,061,045,623,405,537,647,156,860,849,371,117,626,653,303,500,597,978,
928,934,451,274,683,948,156,177,083,027,360,815,387,035,103,350,935,647,855,
742,999,220,388,077,370,979,685,356,499,637,409,045,032,662,481,900,225,049,
808,999,122,398,024,564,144,394,635,823,407,401,236,225,494,309,386,286,669,
645,609,578,756,380,576,310,456,348,556,309,409,279,815,764,831,378,379,120,
822,553,465,213,687,869,033,645,195,310,846,530,936,886,370,862,948,066,933,
221,531,532,371,287,841,384,564,128,640,890,639,398,368,516,343,030,479,272,
771,499,838,496,392,926,041,871,549,118,165,853,360,238,450,644,283,055,331,
564,427,603,331,939,799,320,648,126,448,830,533,358,765,262,476,629,433,694,
990,942,025,277,672,096,624,760,897,876,961,397,538,374,356,183,426,247,106,
824,886,654,151,331,131,174,408,919,600,732,319,731,194,804,119,341,738,222,
551,090,553,256,149,810,830,904,841,491,348,018,598,881,766,563,865,756,271,
205,458,460,741,705,883,712,414,486,614,586,571,051,456,896,410,185,015,862,
492,611,784,977,854,741,771,759,072,308,283,767,445,237,580,015,241,280,967,
072,342,022,080,781,870,023,732,570,383,841,154,545,704,155,701,306,690,364,
712,976,043,976,813,818,280,548,093,151,897,999,302,412,238,553,382,973,601,
908,700,768,096,886,402,483,900,372,031,960,923,330,659,176,324,579,015,494,
008,599,614,366,049,725,170,342,306,523,525,447,401,713,395,352,732,507,293,
546,146,871,180,933,604,790,540,878,805,314,398,800,111,445,208,472,366,366,
827,770,774,689,819,373,934,875,052,317,684,737,872,933,305,490,399,501,734,
488,244,188,795,708,834,187,879,605,543,108,171,772,524,864,297,827,429,928,
685,163,153,288,751,113,351,283,592,393,611,012,092,027,703,938,292,974,663,
877,483,554,730,229,919,781,512,673,965,925,100,361,542,713,758,951,073,707,
671,715,079,789,188,622,596,885,034,871,190,328,401,852,624,665,469,442,947,
425,841,323,081,788,479,403,646,399,792,214,220,974,625,820,781,277,385,318,
530,482,475,209,387,947,072,005,097,177,708,409,967,970,696,964,841,533,184,
996,515,602,551,116,926,453,711,779,549,886,326,912,056,991,499,898,018,972,
320,215,339,721,808,274,939,696,092,556,526,423,987,162,748,088,185,474,350,
453,092,368,963,363,926,259,466,771,389,486,161,182,193,619,618,918,169,328,
813,384,611,619,221,920,575,875,108,542,392,080,584,571,331,743,558,095,616,
647,066,014,670,564,272,301,163,495,649,769,963,018,262,843,072,106,845,921,
653,536,888,701,123,172,798,742,126,481,068,508,117,735,634,381,134,112,054,
347,588,404,206,912,688,970,967,170,308,166,733,021,171,364,527,783,380,575,
959,086,341,689,121,115,622,612,798,064,437,365,009,675,811,725,691,682,474,
491,651,582,263,917,342,274,495,030,556,827,750,468,277,744,520,560,983,953,
707,178,212,183,812,943,316,906,619,933,993,486,609,939,683,613,712,905,239,
010,799,131,409,181,531,928,637,133,531,930,001,884,312,250,329,814,312,002,
151,153,108,504,852,867,130,895,503,263,096,328,521,963,138,378,222,782,990,
552,888,385,858,021,277,674,100,029,511,586,411,777,630,514,086,742,398,650,
592,329,743,830,900,471,181,376,661,674,896,395,767,093,595,772,196,297,632,
173,046,170,371,395,009,532,877,622,978,696,115,680,630,216,594,735,328,680,
864,624,345,025,589,886,336,646,272,171,888,486,757,774,869,798,208,501,747,
091,915,321,589,511,910,233,943,784,444,058,699,561,191,598,302,100,729,470,
292,732,387,574,694,031,123,153,265,046,164,869,289,097,756,127,339,134,371,
284,600,063,991,793,639,426,115,426,918,645,495,260,662,865,907,830,323,948,
072,416,675,228,900,059,387,598,878,677,592,327,754,631,185,247,245,800,015,
888,462,782,091,885,302,862,423,685,755,999,178,314,584,250,049,086,831,480,
322,620,413,456,276,239,337,000,807,586,348,464,391,573,852,494,744,370,525,
946,677,695,436,637,919,597,397,094,924,463,162,789,772,836,534,364,627,929,
046,527,671,202,480,060,759,248,219,587,354,605,729,336,579,028,032,761,635,
168,457,962,723,973,607,628,442,877,730,379,155,517,162,986,836,468,323,107,
799,265,001,444,640,345,743,775,037,107,784,418,821,097,866,325,044,718,277,
977,784,744,061,324,536,037,256,059,142,465,403,247,646,859,287,104,947,722,
757,904,815,589,545,119,088,034,158,400,217,038,556,556,899,794,204,816,322,
564,555,191,378,234,643,619,593,123,578,475,059,053,670,075,340,761,892,233,
534,514,540,817,029,426,286,980,487,345,480,201,133,245,761,023,918,540,500,
769,672,520,657,079,635,897,917,248,583,181,258,820,153,210,260,439,372,624,
174,691,017,712,562,818,540,863,263,653,508,755,974,126,350,730,934,340,751,
770,793,966,172,654,001,989,142,230,308,899,015,184,881,089,414,995,887,568,
508,911,990,965,336,785,673,388,533,249,318,863,105,758,196,640,191,513,017,
969,908,401,422,458,965,647,548,918,443,441,073,238,543,370,949,317,043,971,
536,402,220,809,835,780,052,769,365,756,725,417,995,613,041,896,288,955,993,
427,308,464,553,934,675,757,871,521,470,245,820,694,521,038,697,814,314,675,
347,339,203,081,933,274,016,297,885,418,705,626,538,489,336,167,039,545,641,
424,734,676,401,416,713,795,958,503,390,875,396,435,035,954,120,466,619,016,
301,366,714,737,677,382,150,570,400,359,888,788,618,070,046,696,995,491,179,
777,976,637,819,479,681,188,633,390,044,950,233,948,003,329,829,746,019,483,
570,077,117,032,814,806,015,505,897,869,611,029,551,445,004,391,627,307,647,
575,106,668,139,272,799,230,884,759,471,462,362,827,728,874,914,884,094,588,
548,768,992,797,904,143,538,312,455,493,729,429,322,616,064,985,463,908,933,
398,558,109,182,719,626,620,796,143,308,802,205,711,189,285,940,854,770,480,
776,449,355,615,071,309,007,378,052,736,175,294,109,427,914,450,411,381,884,
668,326,367,786,567,584,844,448,100,003,222,066,539,557,480,209,278,659,228,
611,114,861,754,657,914,024,590,754,133,369,540,646,694,115,117,420,106,033,
182,810,805,066,099,031,921,482,899,400,941,978,612,082,835,269,969,643,265,
675,353,591,380,928,096,452,815,953,906,763,441,702,117,878,250,028,810,365,
389,370,489,841,196,708,947,747,875,181,647,825,668,674,413,465,416,196,139,
239,230,278,415,524,401,693,914,678,490,396,467,505,743,665,318,206,792,102,
321,154,059,582,127,356,187,003,422,017,845,736,044,319,155,187,994,813,863,
157,054,112,970,016,239,302,208,716,270,076,564,230,872,382,232,835,904,394,
668,662,020,979,184,580,994,749,777,290,359,619,159,084,717,773,285,364,048,
737,541,940,149,327,614,685,989,499,894,634,509,742,263,471,486,422,006,381,
158,776,659,155,264,695,246,832,043,471,576,042,561,559,877,374,439,388,934,
733,683,505,337,119,436,522,333,753,663,140,683,911,918,018,785,908,698,563,
828,193,921,094,000,237,761,649,398,525,110,081,072,503,973,685,749,853,202,
286,881,336,978,433,575,914,347,018,495,306,650,162,302,554,206,304,671,872,
924,726,461,986,486,630,130,848,807,325,489,974,393,688,025,334,808,783,343,
642,261,190,894,330,446,036,440,249,652,892,247,006,303,239,815,168,910,887,
968,082,124,215,976,997,645,759,667,768,157,615,458,981,286,238,166,663,285,
187,526,934,482,288,718,973,385,964,245,004,177,337,592,924,266,337,065,595,
959,316,898,100,909,892,641,417,634,753,229,002,679,494,537,596,924,026,641,
606,886,351,204,723,537,136,401,602,656,794,298,919,690,969,107,917,348,604,
850,649,605,179,196,999,521,626,630,158,459,525,160,026,298,710,583,471,888,
217,221,676,504,277,046,573,925,979,524,290,774,874,294,363,399,383,925,979,
689,496,995,100,534,870,855,590,347,176,033,041,664,528,223,855,591,747,502,
981,752,107,805,168,621,619,341,349,768,642,885,156,536,048,237,253,974,132,
268,687,351,231,525,373,103,280,395,988,396,544,987,651,508,150,989,544,891,
301,699,162,061,492,428,121,954,615,365,554,555,688,219,793,634,471,527,932,
358,129,344,190,908,174,889,569,446,334,433,749,124,861,476,942,756,251,037,
352,427,865,616,765,439,402,606,765,033,529,054,913,918,582,385,950,532,158,
757,604,659,023,430,200,792,191,807,799,117,752,906,071,025,122,409,388,399,
031,490,785,327,704,296,136,719,034,282,641,919,541,522,726,199,169,832,036,
222,167,289,743,233,765,870,804,972,436,407,916,860,583,799,047,820,747,724,
327,169,837,722,389,184,886,877,676,023,948,219,980,036,893,474,122,177,255,
821,622,392,200,285,865,189,788,815,289,266,005,478,072,207,875,844,953,098,
850,112,343,469,782,682,780,009,568,326,200,271,796,733,882,543,742,033,117,
589,653,582,304,396,114,263,755,037,846,829,964,471,201,267,273,124,238,597,
181,142,439,030,580,448,274,971,575,138,759,985,062,359,338,014,549,063,743,
671,510,575,866,540,958,883,926,799,251,038,734,461,573,799,458,795,556,796,
664,924,038,574,839,873,211,188,635,066,377,691,233,620,373,548,910,198,098,
866,438,710,600,751,233,015,384,567,345,131,169,925,159,596,959,957,130,966,
554,906,121,186,557,843,536,598,982,464,847,630,431,081,708,088,295,132,969,
760,892,393,554,645,132,983,279,057,359,623,160,717,849,243,928,057,717,275,
263,887,711,236,669,391,108,306,902,799,002,253,819,143,900,532,176,531,007,
352,721,437,105,833,942,736,284,566,943,136,971,365,032,607,037,457,559,288,
405,881,802,217,330,588,048,849,441,018,974,321,379,884,593,352,748,270,803,
408,448,909,286,192,218,718,509,066,071,457,299,023,247,913,238,417,371,907,
857,313,799,879,814,166,718,109,688,497,052,082,067,664,602,235,063,380,453,
676,545,865,461,018,851,320,088,267,186,623,731,914,500,549,071,259,761,875,
116,724,860,205,541,304,586,686,236,282,092,281,333,356,993,616,230,215,753,
940,225,525,202,367,691,459,085,704,189,649,882,225,630,441,928,754,102,294,
049,310,042,982,392,128,298,340,657,198,795,359,343,731,762,414,779,545,170,
403,970,903,888,770,176,831,184,448,486,857,963,521,028,943,321,892,896,876,
974,506,245,655,726,284,942,361,798,706,730,112,556,181,497,314,396,083,861,
166,865,063,320,079,365,334,918,609,842,675,855,885,912,123,916,367,313,077,
773,357,490,270,022,895,073,783,647,057,963,981,639,230,390,239,718,328,316,
659,582,082,878,841,290,173,835,145,214,908,743,359,530,325,890,896,249,587,
009,387,436,401,348,814,372,097,682,873,055,261,140,939,199,642,684,281,046,
020,322,093,316,732,877,382,369,595,783,467,618,055,990,993,707,002,161,238,
041,131,052,082,242,477,224,409,420,449,086,643,742,467,877,270,689,537,218,
534,693,959,194,642,869,333,953,319,987,135,731,180,816,567,670,265,033,985,
664,345,685,308,690,665,111,670,883,321,487,301,481,051,302,947,989,616,394,
127,407,061,115,716,733,786,535,065,479,392,436,529,775,680,950,856,625,823,
596,595,909,620,539,513,093,391,351,920,794,353,560,357,355,163,833,647,859,
006,632,060,967,133,674,334,947,769,308,392,420,733,546,156,641,497,878,664,
794,516,316,181,551,048,518,636,183,028,815,361,072,217,854,208,104,359,327,
514,382,031,123,799,526,036,142,554,074,299,759,439,481,314,186,529,176,881,
939,278,545,985,464,809,892,750,093,831,094,355,970,713,256,820,599,505,637,
152,802,017,921,610,244,090,444,663,176,174,888,150,785,317,637,985,940,929,
080,222,875,267,905,859,893,279,779,187,249,976,308,566,824,461,170,275,243,
256,000,364,044,638,072,545,755,221,169,009,317,400,883,816,192,887,072,834,
475,019,670,189,946,617,272,938,369,575,511,016,318,074,423,095,783,529,842,
807,579,020,254,351,371,934,333,910,568,561,913,270,614,296,924,936,441,076,
915,414,816,209,799,591,596,268,921,234,891,011,342,253,724,359,118,772,760,
240,667,761,113,711,118,097,004,477,196,407,577,363,903,213,368,656,175,745,
456,129,063,013,750,791,495,895,052,456,785,845,598,172,866,193,302,492,770,
834,268,297,633,738,158,863,679,132,767,969,484,441,470,719,786,293,480,967,
112,490,358,484,875,836,622,386,281,739,261,627,575,189,826,523,393,684,591,
064,582,940,514,618,326,900,255,855,542,947,130,673,980,786,784,792,716,547,
432,669,196,423,930,519,023,442,365,788,187,760,273,025,409,579,576,108,306,
381,144,836,212,804,248,468,178,845,905,609,568,281,278,672,308,534,539,502,
729,468,565,664,180,425,910,936,202,810,357,954,748,579,737,123,408,568,022,
114,199,237,171,099,523,289,464,259,590,246,317,350,975,332,364,291,294,204,
425,243,521,214,181,115,670,651,915,697,154,535,116,305,094,878,685,913,344,
808,562,134,869,311,882,801,619,356,382,049,643,904,642,797,565,601,895,750,
595,677,762,487,594,168,005,133,671,822,560,749,898,453,619,877,360,820,723,
842,219,712,582,954,345,800,051,643,527,698,794,951,321,884,666,073,296,322,
900,969,001,817,549,721,641,942,825,048,684,150,212,306,621,475,879,978,421,
098,066,707,403,450,392,540,979,470,363,600,507,755,112,658,234,758,971,173,
299,721,275,627,658,218,606,152,220,028,835,283,191,562,623,886,803,842,751,
346,076,527,364,178,549,060,309,886,627,925,244,283,827,401,238,025,180,373,
361,840,897,646,870,567,500,258,336,207,552,669,425,781,387,263,561,629,137,
199,584,597,953,261,130,506,969,686,909,380,646,849,371,177,921,047,909,225,
029,292,056,675,526,427,915,943,827,721,655,333,807,509,614,343,653,903,945,
656,383,440,147,847,034,408,454,416,013,602,154,976,362,379,374,202,661,177,
551,807,288,681,292,444,512,873,103,860,386,870,839,657,128,009,473,756,511,
442,737,496,714,349,652,671,218,707,547,704,131,169,152,796,875,288,292,916,
233,553,949,449,450,873,346,079,363,798,179,549,019,496,148,284,105,951,341,
758,720,871,691,266,666,855,067,601,102,085,118,677,439,313,784,585,396,634,
386,366,459,575,330,838,425,762,755,771,064,535,066,339,826,236,823,387,999,
393,570,428,916,813,946,525,156,808,890,165,080,240,353,733,077,018,059,490,
072,522,402,123,893,909,251,723,161,035,459,715,628,157,821,612,513,207,255,
475,469,965,121,494,950,624,565,414,791,045,960,498,487,878,132,920,517,743,
001,917,236,572,976,028,428,410,234,037,465,881,533,429,951,666,171,886,082,
632,968,608,850,608,753,668,748,228,052,781,833,897,585,469,900,702,063,324,
799,473,414,586,143,058,830,934,744,834,034,693,457,289,064,074,280,632,867,
668,088,429,863,319,674,823,339,415,738,072,845,391,242,617,213,681,763,535,
102,547,747,121,141,174,125,716,700,081,733,357,548,968,656,902,829,400,842,
444,460,276,159,366,695,937,751,830,579,745,526,924,228,502,840,666,871,550,
788,242,165,164,218,602,432,473,019,683,004,187,910,633,775,533,663,864,596,
566,328,444,730,155,876,752,144,386,525,383,713,449,608,299,764,086,757,478,
559,867,871,894,541,568,829,181,460,661,203,087,986,076,352,031,073,015,811,
829,736,158,922,912,996,736,522,043,759,432,923,303,624,083,362,437,346,579,
343,594,253,320,555,447,526,030,028,856,893,804,695,092,036,222,650,586,652,
233,632,962,993,167,571,621,587,989,629,381,389,897,683,750,631,411,970,039,
090,870,039,630,665,272,025,307,612,544,297,671,162,741,600,671,214,747,080,
462,291,528,750,900,760,188,153,980,038,632,748,453,555,842,074,662,558,864,
490,847,381,577,855,783,114,274,019,790,176,816,550,307,721,946,440,287,317,
249,996,672,663,713,273,434,199,368,903,298,016,839,952,986,222,993,681,774,
446,379,976,301,679,971,698,966,571,433,731,450,917,627,025,854,078,380,710,
227,281,517,178,044,878,484,070,537,234,488,405,364,719,947,238,870,253,605,
051,152,996,109,094,496,750,186,832,128,395,170,331,422,118,963,875,103,376,
513,901,398,420,047,180,423,468,523,747,182,430,530,305,477,229,091,906,624,
080,311,250,811,922,340,868,073,445,436,973,530,053,445,099,786,778,647,210,
646,331,699,672,120,985,168,532,027,594,153,063,936,540,043,950,952,003,681,
025,943,157,346,962,177,827,903,029,046,629,381,172,928,902,722,062,824,675,
265,666,448,409,757,341,713,661,208,474,822,240,230,215,515,153,607,694,517,
564,599,752,920,984,436,501,120,763,565,771,790,231,777,535,062,499,948,200,
246,124,387,401,673,744,211,067,221,855,493,293,437,028,741,580,833,402,273,
554,140,082,962,995,476,444,821,787,015,616,945,914,910,010,623,385,950,668,
722,783,210,611,727,115,950,980,565,685,228,489,209,437,042,500,856,825,296,
087,270,347,414,282,510,080,480,004,925,054,948,090,715,399,650,285,670,934,
516,717,868,401,953,008,640,061,504,702,462,740,974,161,975,803,934,167,692,
933,659,991,765,831,322,746,833,334,063,653,015,733,987,041,024,013,898,223,
302,127,360,591,503,758,258,049,568,171,450,708,356,598,291,935,244,582,066,
702,519,422,534,463,606,708,328,485,941,605,445,486,012,587,256,961,163,763,
921,589,240,687,809,775,639,435,503,139,068,493,590,704,176,739,927,604,223,
909,062,450,231,250,524,987,426,916,794,675,718,064,564,661,414,337,937,412,
657,986,101,376,403,368,100,347,211,585,524,929,266,154,555,490,531,047,843,
873,109,750,351,616,885,819,186,749,081,319,118,416,416,185,225,139,394,006,
814,271,454,826,373,684,560,839,661,553,666,167,038,198,381,678,585,977,635,
279,492,212,543,869,739,494,883,914,998,017,519,616,039,761,975,854,796,127,
286,010,385,107,119,789,714,255,312,144,431,408,445,054,459,697,036,259,672,
102,073,830,005,099,637,601,846,680,886,760,653,850,118,223,734,741,395,783,
887,131,562,225,847,507,145,177,572,786,942,029,851,642,303,186,919,757,352,
338,330,239,552,644,126,314,362,055,038,794,342,075,749,831,455,437,056,984,
132,679,704,435,658,780,980,303,617,835,571,956,257,601,189,243,154,690,421,
586,654,012,536,872,780,035,532,890,663,579,123,023,859,102,399,281,608,385,
075,581,631,068,620,486,910,393,031,097,601,940,827,980,954,335,500,380,912,
464,893,367,735,817,103,300,457,185,451,781,373,385,332,312,699,791,400,928,
339,763,971,998,213,498,775,214,719,030,235,294,974,568,994,465,438,264,686,
833,355,860,488,505,698,553,550,519,937,850,762,028,782,022,262,930,838,051,
234,822,403,263,154,179,676,957,987,380,122,765,028,641,576,762,023,987,955,
748,373,009,681,360,081,474,514,321,140,974,873,451,010,389,495,171,076,049,
648,231,089,820,061,045,095,799,099,064,353,645,776,993,929,308,939,884,150,
603,252,757,268,843,215,616,410,427,810,444,988,970,222,083,307,475,130,459,
530,660,213,037,429,740,534,583,981,298,358,436,691,985,512,889,152,269,744,
740,505,726,854,498,148,441,005,591,229,083,399,671,852,781,163,568,235,097,
114,050,311,824,471,050,071,527,466,091,503,409,662,782,565,784,129,941,961,
816,827,053,049,468,461,251,529,746,386,037,226,242,652,234,331,469,351,578,
525,224,156,378,388,832,520,585,031,446,911,501,785,405,153,469,235,061,572,
830,633,389,409,564,473,194,487,148,247,639,346,456,651,936,469,040,677,888,
542,843,117,459,649,622,533,215,097,137,331,650,525,866,668,558,939,611,012,
789,882,770,903,718,811,602,467,663,580,513,960,345,674,653,455,735,301,676,
481,320,748,805,559,687,726,424,109,619,185,398,095,697,929,214,404,227,829,
348,693,193,327,585,865,433,758,572,096,798,399,432,259,916,062,000,249,438,
760,699,259,259,217,888,280,205,885,456,877,724,975,644,175,989,196,459,129,
607,597,142,864,149,598,924,375,338,239,830,136,439,420,941,186,325,417,442,
951,138,515,119,161,218,582,741,145,010,754,206,378,148,254,045,496,519,812,
006,153,430,104,169,639,409,591,711,536,044,860,229,086,681,103,634,389,061,
198,368,822,907,580,481,166,447,966,311,035,791,498,096,310,635,908,955,856,
172,739,880,770,526,886,321,538,199,765,418,833,740,249,706,698,310,191,852,
751,771,727,043,504,507,807,368,963,731,847,915,756,691,029,682,944,113,699,
227,519,707,744,102,575,449,323,298,573,442,140,648,748,398,477,872,197,938,
481,750,897,277,172,088,836,151,828,785,727,212,437,338,597,042,456,019,491,
679,104,095,955,250,575,948,268,305,743,375,922,935,717,172,218,956,016,175,
364,753,203,656,737,655,079,037,895,245,362,773,553,016,593,591,930,498,246,
095,971,864,124,563,677,192,296,567,590,102,551,765,708,245,760,238,495,853,
464,836,677,137,358,340,442,005,535,022,292,545,241,271,024,678,782,234,581,
107,799,404,086,167,735,502,485,750,000,691,045,016,778,020,244,391,208,529,
909,672,710,269,053,422,340,484,515,437,803,774,016,482,790,612,014,674,628,
959,774,665,756,334,652,403,938,974,783,493,140,950,179,639,893,499,568,668,
801,868,068,716,179,046,094,031,425,822,131,940,602,400,679,397,190,847,058,
665,983,772,697,549,883,317,123,615,788,189,401,247,795,422,382,008,882,509,
831,912,558,147,149,605,142,560,769,971,941,624,168,028,427,032,473,779,810,
332,172,181,764,030,998,160,670,694,842,869,990,227,994,350,303,361,051,702,
558,773,753,986,366,651,041,561,340,825,394,687,817,047,107,965,387,865,222,
636,182,525,922,109,834,174,592,093,411,149,480,698,116,708,360,738,934,905,
380,085,826,658,978,561,706,128,662,488,657,127,085,844,682,364,133,077,543,
900,573,160,725,745,235,474,758,409,425,528,718,205,272,591,634,958,643,895,
450,967,579,844,650,618,559,599,090,373,917,029,598,516,287,743,716,917,585,
005,527,479,906,804,152,583,290,268,484,710,923,037,460,137,988,967,639,006,
042,201,875,559,164,154,996,048,217,864,944,915,323,746,830,928,443,386,338,
593,359,738,938,042,362,396,611,990,494,254,208,055,482,691,281,426,237,175,
049,311,618,642,166,551,245,617,563,764,051,162,158,265,820,403,651,014,760,
803,378,580,343,895,660,156,982,950,863,134,589,596,873,728,056,430,732,135,
759,029,619,778,285,766,757,713,172,518,369,234,387,427,643,397,217,459,966,
347,240,815,609,676,139,626,914,054,508,307,804,975,861,400,971,467,643,871,
697,481,513,652,533,160,507,066,574,825,461,972,863,184,924,782,195,800,243,
338,052,529,008,238,249,376,502,310,040,477,562,474,411,938,135,179,013,724,
167,655,769,414,393,167,347,945,834,096,548,231,139,984,084,569,626,693,651,
184,945,464,592,942,639,342,989,697,952,667,584,678,115,685,283,523,528,428,
887,135,649,016,114,557,636,947,553,857,087,788,424,954,800,955,549,005,112,
125,174,642,207,013,980,444,420,947,782,855,442,056,365,186,438,637,298,531,
893,445,409,976,079,936,579,313,324,022,909,135,570,797,517,731,111,278,709,
952,228,835,731,846,904,709,106,013,302,009,437,264,411,471,436,100,578,970,
357,663,223,011,485,275,853,695,011,232,216,441,127,398,771,519,740,152,227,
922,335,916,337,865,422,151,435,343,398,913,152,649,941,724,606,817,371,040,
846,570,632,531,151,546,154,567,411,893,588,090,313,716,827,511,039,603,525,
940,500,917,600,144,832,042,576,261,381,640,615,805,569,739,586,026,902,998,
971,048,707,425,173,011,644,490,078,807,054,211,857,318,451,934,755,042,879,
304,481,470,004,325,837,652,059,024,053,240,234,137,861,848,952,996,236,107,
478,780,071,998,793,428,364,817,694,796,139,847,209,159,437,889,647,082,012,
864,555,239,123,301,790,439,590,743,606,956,519,373,785,510,842,006,198,472,
671,319,064,727,159,462,350,549,702,661,192,160,020,760,953,963,315,031,720,
998,665,264,152,979,212,001,218,158,398,551,575,683,826,440,028,466,694,807,
209,003,375,748,525,739,930,346,298,477,892,720,188,718,854,000,813,716,951,
311,192,689,613,050,125,402,961,211,918,267,352,836,806,122,072,291,409,026,
710,646,475,301,467,653,043,843,808,702,981,895,404,394,581,036,920,466,302,
391,206,082,813,577,207,590,251,714,006,397,730,270,055,547,915,828,884,453,
186,543,665,343,508,396,470,401,143,616,629,014,061,035,414,378,132,163,633,
623,185,346,353,663,230,717,626,596,054,206,398,119,190,655,261,502,978,053,
896,260,517,793,270,884,705,485,550,527,841,922,726,748,234,811,266,802,242,
517,563,261,042,837,154,092,629,087,653,466,655,306,307,267,457,636,516,734,
830,686,785,170,454,102,910,293,573,118,784,813,258,000,349,959,761,874,863,
721,954,458,102,984,126,365,195,285,497,056,851,277,618,514,643,259,934,652,
106,093,723,790,093,345,461,252,615,129,467,280,924,954,960,596,782,552,341,
024,784,807,544,283,887,069,148,297,929,223,734,187,836,156,101,394,048,111,
244,190,099,325,915,366,993,808,370,609,891,455,545,636,115,176,753,915,785,
602,123,853,288,933,946,220,253,813,551,460,144,695,457,441,842,690,067,825,
884,295,232,992,813,691,748,486,492,043,024,478,998,136,862,402,415,267,701,
863,634,485,961,149,134,321,409,726,779,864,337,574,161,458,764,358,006,683,
911,277,945,160,303,432,173,410,079,434,151,071,526,573,832,898,694,726,383,
800,827,353,331,353,415,744,456,651,730,789,659,909,133,581,552,749,738,217,
485,636,470,882,751,347,583,979,860,330,998,685,043,154,912,727,785,413,729,
760,767,965,788,842,846,580,020,999,073,319,200,906,813,650,344,502,333,793,
428,202,636,571,630,975,650,066,494,201,145,240,918,320,750,622,018,758,049,
708,691,153,166,860,237,165,984,892,972,636,817,433,309,385,375,851,733,202,
789,667,452,766,499,855,214,652,668,180,482,508,839,260,560,430,007,606,635,
442,957,182,361,041,617,420,431,633,778,395,123,071,207,116,950,134,578,311,
854,753,166,406,425,390,643,824,026,738,572,822,008,372,115,394,810,322,747,
370,183,832,637,834,368,197,821,740,743,297,606,148,627,032,997,366,947,271,
107,052,374,539,668,829,597,272,716,536,528,531,242,730,423,071,254,951,205,
004,859,472,902,924,082,584,120,709,426,745,511,079,576,494,881,150,005,579,
987,978,008,836,458,323,860,140,787,809,237,183,975,506,958,436,864,551,130,
952,367,640,242,121,911,894,727,809,133,187,454,479,896,630,460,242,817,313,
339,269,602,324,815,703,075,347,674,995,908,063,177,993,508,022,175,579,432,
657,478,515,035,853,575,790,589,496,411,771,519,157,057,609,311,712,722,162,
734,204,630,605,993,584,617,867,993,165,600,131,026,014,612,756,880,462,480,
642,192,082,203,708,614,652,646,350,683,924,220,004,828,705,812,715,321,729,
071,913,698,674,328,948,721,313,394,532,490,113,007,401,747,457,136,099,795,
523,535,420,854,651,311,455,452,078,863,355,267,073,885,216,720,314,820,679,
663,560,165,118,126,826,360,147,390,087,437,057,803,339,603,183,173,846,640,
413,294,385,511,480,154,572,959,176,424,106,768,800,066,642,737,186,544,562,
054,361,482,346,087,792,880,109,601,518,430,894,195,060,465,283,171,247,544,
533,510,691,559,513,248,986,134,162,612,177,941,616,504,061,314,278,382,169,
921,043,336,892,187,746,567,529,318,787,905,664,427,317,999,920,881,930,685,
395,531,596,027,152,198,142,662,423,906,611,803,172,102,888,897,735,921,595,
016,029,446,679,053,912,459,506,191,814,911,264,196,483,075,354,938,764,388,
626,646,557,770,900,810,512,637,230,442,406,339,893,113,161,938,775,103,995,
008,005,475,548,239,310,920,471,718,916,492,638,019,276,585,136,696,051,720,
354,089,674,064,740,768,281,608,639,317,306,234,916,695,313,270,902,380,818,
296,603,612,030,801,117,068,572,635,120,808,441,992,651,099,636,500,730,252,
844,082,362,292,065,449,858,719,659,180,477,008,762,004,099,859,868,111,596,
082,649,517,109,308,126,161,320,722,662,614,804,431,637,794,921,871,513,069,
879,475,809,664,666,336,707,159,007,345,261,067,272,821,782,471,413,377,203,
360,817,312,808,822,097,342,627,622,188,248,325,146,436,210,451,344,816,997,
000,816,402,483,365,420,192,385,027,002,888,004,821,480,812,126,998,177,869,
572,843,385,818,679,441,740,030,563,897,374,695,038,134,842,033,249,814,524,
443,029,273,431,308,049,609,213,012,499,348,845,241,528,239,526,967,135,534,
295,561,865,506,774,385,129,070,705,079,143,050,512,115,534,590,218,546,988,
184,318,207,519,400,932,695,388,535,961,153,793,186,459,630,542,510,713,675,
246,263,037,144,369,462,935,072,880,782,654,731,828,409,903,500,313,458,195,
922,600,939,893,374,546,140,932,089,346,181,897,238,265,804,349,807,997,648,
002,679,047,345,760,903,192,899,430,737,479,024,501,382,246,100,106,035,150,
720,658,924,333,748,290,596,182,081,644,510,161,892,103,346,322,265,845,247,
240,962,037,710,881,487,564,907,606,846,512,248,882,722,975,839,204,517,044,
769,131,486,671,870,522,692,640,394,410,586,701,453,125,532,110,901,814,491,
108,138,421,893,081,403,264,448,489,014,405,619,208,146,421,990,072,726,631,
825,423,626,770,432,761,387,172,098,492,709,768,687,798,097,123,968,701,967,
848,735,819,663,528,803,172,742,976,484,011,000,606,140,097,659,170,523,530,
596,295,312,389,886,112,832,491,180,381,590,282,899,286,681,900,305,622,272,
229,861,307,494,481,591,936,821,972,645,981,521,534,912,958,539,044,103,741,
194,895,526,979,740,780,262,064,655,676,519,972,055,853,995,683,654,451,553,
449,602,904,986,655,559,496,471,186,568,485,922,320,856,229,943,011,997,602,
935,304,640,682,529,043,822,006,546,378,665,019,990,393,503,622,836,857,618,
790,985,360,498,893,946,202,869,587,352,642,394,577,416,861,912,133,488,345,
897,554,627,716,938,655,637,331,981,755,501,722,689,563,991,218,762,978,761,
998,464,282,462,826,885,595,044,708,324,719,105,801,591,492,796,417,904,073,
847,950,652,691,479,777,167,017,781,599,462,280,940,269,451,550,443,324,334,
001,255,082,404,620,007,169,824,235,909,965,883,443,670,982,047,359,419,579,
275,254,625,857,279,032,753,437,478,865,074,373,876,560,079,691,610,603,486,
655,206,310,771,768,703,441,098,320,582,406,535,165,223,355,333,065,771,705,
213,835,346,125,415,224,585,819,735,188,587,387,561,885,800,372,668,985,813,
785,914,976,234,624,699,516,805,969,986,490,106,206,486,778,711,288,629,341,
168,124,358,562,038,358,749,698,905,332,109,811,989,373,319,321,715,527,585,
513,305,839,463,852,297,395,168,911,335,564,226,668,225,061,140,724,259,364,
879,531,163,025,081,355,089,814,543,804,116,003,726,387,051,233,645,834,772,
266,029,634,206,953,738,588,211,500,945,287,818,730,445,041,942,110,495,842,
135,131,247,460,190,291,384,585,149,604,602,094,365,949,143,306,488,430,762,
129,857,890,261,531,538,559,648,023,134,921,649,766,423,279,981,023,418,927,
200,259,140,273,633,748,314,993,945,111,528,694,104,523,098,226,460,843,302,
490,700,506,175,134,087,804,915,738,664,242,254,946,524,513,397,886,789,077,
707,708,226,811,560,782,422,470,375,456,489,260,757,108,118,294,856,840,862,
653,109,667,940,136,991,358,578,293,504,694,062,008,820,493,616,759,982,658,
985,435,698,840,236,727,153,553,564,978,852,278,323,321,921,666,479,024,276,
579,133,551,527,297,397,018,560,154,572,664,553,081,432,770,850,165,205,907,
264,001,910,723,830,265,701,917,887,989,376,513,620,023,930,390,221,804,007,
080,604,695,063,108,941,579,584,218,497,865,959,600,856,247,708,987,388,460,
135,112,116,692,191,528,347,561,150,712,368,072,268,457,736,448,766,473,254,
838,080,224,506,818,169,878,118,690,456,727,869,485,876,516,432,896,743,501,
924,669,270,446,427,785,121,928,617,083,253,900,804,509,519,086,405,239,647,
381,055,841,341,137,079,573,856,225,329,734,427,599,793,486,924,507,505,890,
383,241,314,246,735,898,819,265,235,252,289,049,977,472,136,959,772,815,754,
128,981,549,420,227,229,342,814,283,871,831,095,522,536,968,498,093,970,997,
779,443,887,704,332,863,406,019,004,967,338,033,942,158,158,075,786,926,358,
872,820,481,262,460,719,016,115,593,051,680,067,802,642,943,940,016,079,096,
878,301,207,811,310,942,052,759,633,173,938,972,539,126,213,392,641,836,303,
335,417,409,568,492,016,412,076,692,104,799,241,078,481,851,439,278,640,035,
416,576,612,294,212,244,064,038,243,196,796,587,155,385,235,942,246,333,307,
859,816,602,381,078,631,651,376,320,493,481,049,804,822,868,150,474,536,250,
343,895,488,959,496,379,862,393,706,433,052,168,301,445,633,542,976,777,068,
287,579,248,840,576,865,186,596,791,272,004,167,301,643,311,546,712,800,925,
826,845,597,660,124,783,423,365,381,666,053,226,000,234,524,498,463,998,595,
096,466,382,913,210,230,934,276,061,321,591,241,021,998,230,071,551,730,780,
185,392,461,737,630,738,713,158,620,434,697,892,848,353,841,812,597,576,661,
353,596,679,695,039,580,600,681,659,148,639,679,187,116,872,528,802,231,151,
196,085,603,084,259,599,491,589,343,407,655,455,471,123,152,574,687,185,570,
723,210,580,594,803,163,650,348,220,963,121,839,549,138,295,998,794,894,272,
596,215,854,946,749,475,670,475,767,941,610,353,039,645,580,232,959,326,574,
045,417,946,149,522,031,761,646,651,611,622,627,538,977,256,212,305,382,169,
594,655,207,443,673,344,399,715,028,270,038,044,330,858,676,069,453,220,535,
617,662,072,875,163,180,717,956,487,178,698,056,621,075,645,657,254,339,732,
248,766,732,794,553,343,404,980,236,462,631,096,659,731,708,676,179,773,543,
441,160,215,620,826,223,517,683,290,422,971,341,749,253,480,204,298,958,809,
746,503,957,090,553,893,118,460,966,915,540,657,290,267,905,717,197,857,625,
832,926,153,443,865,046,688,001,497,804,023,701,229,231,534,527,859,296,613,
002,235,536,720,959,384,276,480,637,113,344,119,644,738,207,084,417,988,619,
550,363,781,320,870,561,767,680,061,408,772,620,448,378,353,816,140,992,093,
323,534,815,509,445,959,714,113,924,013,168,985,300,659,058,827,716,458,995,
240,405,893,836,708,347,870,271,921,991,566,303,659,968,169,405,703,669,978,
774,546,941,337,084,527,479,402,496,857,410,970,179,572,795,952,131,516,661,
449,542,990,469,451,697,758,436,960,921,074,645,725,105,792,985,307,450,487,
869,380,424,253,317,605,040,518,402,176,070,552,118,003,490,280,215,497,395,
795,498,218,309,914,050,124,149,747,920,381,166,693,271,057,026,041,424,719,
248,402,752,932,064,933,323,860,642,913,688,971,755,719,474,714,603,653,943,
839,116,249,575,229,422,887,416,551,211,012,979,088,962,381,674,186,524,528,
872,397,932,067,702,029,640,231,294,162,488,619,548,225,444,829,147,508,860,
616,190,573,616,316,245,952,912,099,053,116,145,516,774,411,561,629,316,734,
807,062,170,313,309,861,685,665,313,663,188,615,958,374,865,995,686,817,243,
298,564,742,306,405,332,801,156,047,325,151,474,399,519,374,115,379,836,015,
724,475,472,080,585,167,041,233,628,160,960,723,688,176,218,897,481,352,024,
773,000,113,786,510,410,040,371,057,529,523,564,006,542,669,284,748,072,712,
464,678,687,528,535,312,872,592,890,202,889,723,668,195,336,544,705,017,544,
580,739,606,860,905,876,106,745,437,168,148,937,711,553,624,856,894,216,715,
321,987,724,319,018,358,830,248,317,440,770,262,087,193,363,361,477,018,389,
809,945,508,114,775,250,648,756,364,474,137,588,675,597,170,160,884,629,339,
474,843,628,465,699,491,285,046,613,330,466,000,055,687,083,475,854,039,212,
998,831,044,394,451,018,463,678,900,075,751,657,612,695,192,427,417,676,742,
073,763,940,201,503,259,438,834,432,476,365,155,730,388,065,370,480,047,129,
497,199,603,563,181,664,590,420,138,139,863,230,397,005,242,677,614,110,112,
031,045,505,914,686,475,928,001,616,752,587,401,397,554,402,343,682,573,030,
276,711,178,198,139,172,250,133,588,113,694,717,848,746,740,252,182,327,082,
288,770,378,462,373,223,868,728,038,930,390,896,119,711,716,550,046,799,251,
375,386,930,643,365,187,661,217,253,955,153,036,036,524,897,395,425,204,961,
872,038,122,098,079,121,354,543,233,550,593,265,289,611,938,235,509,908,784,
599,003,737,530,528,551,827,719,035,578,927,121,932,089,956,309,836,774,744,
683,444,618,908,129,205,609,199,714,241,608,922,699,437,085,463,668,924,251,
418,615,224,456,106,204,378,392,487,406,248,317,601,448,786,464,476,505,395,
645,101,058,491,355,247,421,305,681,961,215,513,305,626,482,161,962,376,090,
901,381,092,515,015,021,274,656,164,147,600,060,290,427,135,960,252,385,566,
927,605,392,806,437,807,948,889,723,982,361,552,271,138,952,635,995,356,264,
592,196,619,287,527,474,687,318,814,532,475,969,838,345,132,956,654,800,712,
033,713,209,264,734,285,190,963,542,000,679,025,392,818,183,406,430,500,211,
197,038,318,883,611,229,232,781,014,096,368,742,967,376,254,753,807,227,074,
195,241,672,737,837,781,248,230,241,207,315,496,642,374,809,271,786,697,678,
786,657,902,166,290,068,838,168,971,267,825,440,365,310,591,963,306,189,490,
060,804,921,547,093,751,485,623,607,446,496,784,101,032,785,153,667,963,575,
519,214,777,552,130,933,776,963,478,871,264,093,372,885,076,196,610,830,858,
726,779,447,427,495,430,011,284,108,158,561,095,596,225,796,219,757,765,553,
261,315,170,716,947,498,279,193,178,564,315,844,782,962,405,925,465,265,106,
339,778,543,150,676,709,213,829,539,834,785,045,703,791,276,317,453,652,830,
645,066,440,391,891,042,808,179,506,149,030,132,157,293,642,879,901,172,992,
712,884,237,511,359,805,917,196,410,396,567,393,077,025,708,935,553,506,151,
318,592,290,249,531,651,671,805,948,474,169,203,569,127,407,120,844,393,263,
478,177,320,864,676,369,884,121,662,302,955,787,406,720,127,669,720,614,977,
123,435,082,961,211,291,410,625,500,740,859,634,626,270,022,325,719,465,878,
340,870,953,923,703,814,305,795,851,878,985,799,142,879,732,421,851,015,517,
298,638,445,485,139,114,139,710,560,894,120,671,136,956,949,301,188,497,615,
997,918,470,653,184,003,857,556,116,424,587,900,976,544,654,201,921,402,885,
159,333,408,805,651,336,928,086,227,853,312,915,451,442,973,829,514,841,260,
808,045,258,735,127,031,622,844,979,263,437,758,672,175,885,138,317,141,181,
166,937,870,374,776,128,528,383,663,052,792,170,866,323,289,862,910,036,040,
475,749,626,739,004,058,031,737,212,039,794,073,142,728,833,712,069,157,726,
561,698,633,588,717,728,890,725,645,083,316,048,554,767,131,390,536,077,655,
245,273,920,056,309,116,738,139,789,488,125,655,579,659,615,341,889,652,556,
280,761,262,555,563,851,538,928,499,028,654,911,344,391,617,078,532,682,611,
278,442,976,379,171,984,047,231,871,970,164,253,141,546,911,125,644,345,131,
670,487,325,836,148,495,529,518,775,594,553,350,461,900,055,157,052,886,908,
626,010,353,891,221,042,787,267,200,703,028,877,696,835,603,119,740,841,435,
947,186,541,910,635,626,997,377,884,283,977,155,676,558,566,799,848,190,240,
236,573,727,487,598,725,336,310,650,664,738,990,162,089,610,880,998,904,981,
139,995,744,874,650,973,201,527,258,034,334,171,924,723,364,498,112,898,376,
511,503,935,793,407,430,209,606,680,328,150,323,372,422,256,069,794,050,535,
891,070,897,266,422,183,087,870,924,715,472,826,171,098,979,845,606,254,399,
811,536,850,118,001,382,177,920,679,235,861,259,236,474,077,245,211,379,331,
539,440,762,900,484,742,336,020,002,230,836,185,088,752,908,746,556,112,801,
625,971,812,012,616,500,127,531,602,095,499,585,072,499,809,701,511,645,271,
938,518,509,063,411,199,906,898,472,783,873,324,898,921,032,755,241,503,872,
601,533,541,101,115,013,244,416,351,090,547,707,320,279,543,152,301,708,577,
321,253,203,594,777,991,520,166,303,497,066,738,028,418,220,186,111,724,240,
560,061,036,019,738,451,379,160,287,069,324,975,426,232,860,560,043,439,134,
115,741,167,850,764,341,486,229,266,195,516,417,514,242,998,906,639,995,748,
589,014,373,550,475,932,403,403,504,192,771,936,030,915,219,531,771,445,258,
560,540,813,974,461,791,614,370,416,904,728,609,254,416,747,070,155,790,395,
928,845,027,072,434,163,070,823,145,100,122,655,572,465,662,240,568,681,635,
585,771,698,531,561,429,033,358,208,789,532,667,002,554,354,915,564,338,812,
973,513,058,317,715,125,569,652,321,030,830,403,369,965,630,985,414,724,793,
898,235,404,369,182,227,118,790,800,303,167,718,983,138,476,513,804,646,133,
925,930,372,539,953,159,407,353,363,586,022,134,379,915,332,316,119,772,414,
331,646,750,293,407,812,773,755,693,331,542,125,623,024,645,563,095,248,964,
301,825,328,892,352,216,516,946,038,704,478,556,975,052,814,091,436,447,944,
504,268,585,408,626,779,126,253,142,653,099,930,730,112,001,122,737,154,814,
312,873,266,501,364,959,563,795,885,429,869,032,642,203,336,143,263,517,742,
803,789,897,606,910,420,970,216,402,374,275,443,698,034,455,896,934,661,241,
279,190,232,535,074,542,658,431,363,207,962,581,876,134,665,511,848,838,737,
585,844,452,849,445,343,820,166,762,093,500,131,345,574,544,947,818,767,155,
375,932,866,007,450,748,077,546,590,979,882,878,744,059,657,368,817,594,444,
611,025,347,972,467,750,298,243,300,798,288,855,940,199,749,387,088,603,256,
723,388,306,996,940,400,785,479,978,023,756,563,643,318,163,598,937,359,487,
836,844,924,185,635,470,508,510,689,672,016,326,727,060,442,106,260,309,393,
713,951,515,796,014,697,462,161,167,440,858,340,502,220,620,560,160,673,465,
402,516,339,870,053,413,319,210,932,941,091,390,646,181,990,768,222,378,073,
811,920,750,702,361,977,931,369,885,968,410,332,603,289,840,780,618,278,469,
919,431,593,301,250,094,669,800,791,447,930,320,542,346,937,306,718,155,828,
104,699,283,119,531,506,684,242,188,008,641,350,523,654,438,038,882,005,396,
577,679,001,652,413,957,731,470,937,333,897,671,281,475,170,819,809,679,081,
207,069,364,728,493,173,257,359,364,535,666,187,549,606,913,907,397,982,177,
124,581,054,762,526,912,601,672,442,362,199,365,500,106,935,865,559,662,906,
312,137,508,673,365,436,411,566,732,149,480,705,959,321,768,850,243,780,807,
095,477,356,147,508,165,672,458,106,800,770,957,413,025,965,759,589,055,456,
024,753,039,504,479,337,238,234,014,017,821,587,465,817,876,364,249,084,850,
362,597,066,419,671,584,326,113,578,661,997,425,707,641,104,186,657,954,258,
975,271,963,588,286,571,317,019,550,462,685,061,900,640,910,828,908,375,332,
873,828,193,440,116,944,906,524,196,669,295,712,518,926,074,070,224,316,445,
178,450,241,656,944,729,511,278,131,397,407,251,319,620,112,201,615,727,681,
060,350,370,807,841,719,893,732,853,438,830,965,980,948,592,425,930,191,266,
848,879,483,236,390,146,328,786,808,606,676,972,323,098,359,746,563,844,305,
887,548,094,128,005,126,581,769,589,606,407,224,626,950,652,280,938,545,719,
728,155,272,343,897,287,280,246,657,062,193,273,164,526,525,294,512,093,483,
221,299,660,471,971,323,775,424,656,471,108,254,993,756,481,187,484,350,744,
516,845,580,060,286,026,512,500,629,874,739,943,253,184,010,857,269,204,470,
367,000,198,651,054,115,693,323,772,385,178,695,765,360,119,047,880,273,371,
070,495,244,822,663,061,926,423,736,878,835,726,989,582,202,243,615,857,160,
178,635,324,063,091,069,322,155,566,790,914,720,561,321,792,997,656,839,753,
778,038,623,119,056,310,351,139,999,035,448,229,400,176,240,528,067,309,151,
806,643,512,120,714,983,323,829,449,393,880,760,696,736,579,865,468,224,127,
677,303,215,387,632,447,099,879,651,361,667,056,442,045,795,490,368,508,208,
396,785,514,408,033,598,341,296,071,923,086,412,634,979,551,763,687,586,670,
346,345,788,890,546,894,139,366,810,091,036,402,240,236,719,060,021,357,722,
377,469,209,795,941,232,440,721,074,920,783,098,376,723,588,770,505,365,936,
746,991,515,175,957,957,185,509,698,808,276,181,807,164,710,735,361,246,733,
990,662,151,524,069,468,633,243,194,840,426,159,663,751,747,036,001,479,597,
176,835,959,200,145,786,815,305,042,267,944,420,578,816,398,280,374,184,352,
411,017,659,699,430,472,106,360,051,623,572,982,309,753,276,052,568,095,958,
195,038,764,865,380,145,480,949,019,985,069,788,880,543,222,375,647,452,756,
930,137,810,548,349,373,320,526,680,467,708,949,112,566,486,210,807,729,004,
579,519,546,029,519,703,349,158,460,396,839,417,567,142,047,893,956,060,154,
707,772,669,998,274,690,232,586,066,186,684,943,154,985,249,607,433,245,572,
023,709,733,000,191,185,129,453,097,056,170,495,781,409,276,151,999,961,750,
239,965,322,143,616,533,468,984,062,037,654,318,699,846,937,060,817,219,508,
836,149,517,501,254,696,641,201,300,938,798,213,819,576,224,674,975,415,759,
118,795,476,591,914,098,113,073,004,037,694,693,547,424,918,928,745,673,067,
704,133,369,262,180,353,561,651,174,000,836,871,037,259,361,704,635,331,822,
956,495,864,802,511,975,959,434,721,632,220,580,937,204,046,357,689,535,959,
450,399,392,286,770,206,805,639,417,185,820,317,781,378,122,387,937,729,299,
278,859,056,842,906,081,577,078,690,027,959,328,967,348,214,639,056,978,616,
139,019,837,003,151,577,186,789,309,381,988,658,121,467,602,490,682,346,701,
573,451,134,924,814,113,515,491,400,576,099,040,886,852,140,097,217,834,763,
767,827,553,539,311,414,640,270,304,683,006,203,327,938,040,370,301,252,714,
191,442,559,483,581,610,338,522,207,968,014,412,464,931,575,165,149,622,789,
209,144,263,193,740,699,296,456,628,615,678,821,101,915,998,897,529,551,060,
825,142,035,330,506,374,357,622,893,058,402,921,983,559,562,716,474,364,467,
351,099,209,743,319,608,476,431,375,173,506,351,735,038,996,157,294,579,533,
038,720,914,523,261,724,256,770,159,961,818,602,804,488,571,944,579,868,694,
293,761,619,723,619,943,799,142,100,540,897,347,422,062,506,593,211,515,968,
582,108,073,308,144,481,000,597,245,800,138,708,860,356,600,332,561,297,416,
466,550,233,854,925,742,112,043,589,655,049,753,183,590,614,837,816,866,235,
345,651,978,846,021,018,302,999,747,679,488,007,281,945,206,731,910,215,992,
991,881,704,124,780,581,681,021,259,231,655,517,397,709,851,484,495,008,973,
268,802,328,996,697,137,465,998,862,488,251,863,107,264,801,058,168,326,888,
067,468,677,711,506,964,687,369,805,037,674,827,100,156,542,399,364,525,537,
461,640,573,182,582,765,319,816,914,762,738,386,192,071,851,838,132,030,254,
356,578,011,058,559,707,478,056,908,451,352,122,758,924,618,686,561,025,299,
492,973,473,382,135,201,756,656,734,814,364,740,726,931,640,806,822,817,042,
562,839,908,636,675,255,737,569,485,119,136,241,388,294,352,938,025,739,197,
892,776,946,799,004,427,807,235,588,748,776,349,831,872,561,285,943,709,091,
856,173,031,211,657,242,529,665,599,473,188,639,984,123,177,027,108,918,920,
916,397,815,629,421,234,712,121,396,691,373,791,166,293,808,399,897,911,341,
678,037,754,153,052,703,677,367,906,994,134,199,207,521,967,150,640,389,451,
186,458,895,419,724,428,296,292,774,212,845,805,148,932,032,400,565,134,854,
680,698,454,080,931,401,086,771,749,637,602,584,993,694,486,659,237,332,579,
438,833,884,907,616,647,944,212,449,757,202,584,052,616,729,338,632,073,416,
210,082,764,025,276,202,308,608,785,942,063,309,369,994,482,984,512,378,932,
656,682,890,721,595,804,147,287,621,935,373,557,335,032,499,121,253,808,342,
057,527,132,268,969,925,910,876,900,096,625,566,907,013,224,918,171,089,575,
488,342,478,860,369,880,586,599,751,636,865,514,993,097,256,935,321,975,427,
706,189,576,926,963,481,101,930,124,465,203,003,339,009,152,067,021,666,530,
203,446,636,432,831,096,202,349,279,409,370,638,855,731,079,463,856,716,739,
401,180,126,457,263,570,166,940,483,878,571,319,154,114,691,147,327,805,802,
230,962,482,672,686,270,711,557,328,888,763,711,586,274,272,190,424,413,572,
813,276,810,665,855,390,057,967,631,587,184,450,563,126,718,540,353,540,632,
377,237,228,331,621,400,610,800,521,914,197,800,801,779,070,276,454,876,695,
709,074,005,572,936,738,414,661,432,007,509,745,307,357,302,124,901,814,331,
097,326,887,387,248,949,177,352,151,999,833,249,708,427,640,652,433,038,058,
873,470,112,781,260,453,879,853,074,925,535,777,404,373,997,558,837,109,875,
434,065,542,934,818,960,250,466,767,145,856,241,424,353,339,692,077,194,263,
031,431,651,780,928,154,399,324,068,474,818,844,929,083,535,240,795,672,321,
447,040,908,189,985,654,715,412,599,802,022,344,537,146,320,337,503,155,747,
510,992,707,576,949,557,195,166,366,908,337,055,616,077,563,610,821,936,889,
795,186,757,836,102,927,812,510,766,583,493,476,313,154,173,806,794,383,067,
648,886,466,589,759,847,199,842,515,939,029,447,230,492,250,692,529,663,439,
141,274,230,022,263,127,790,625,558,843,524,389,901,614,352,399,396,154,201,
352,656,603,561,039,341,554,555,380,267,660,911,141,019,797,596,316,084,341,
031,760,246,447,104,696,092,914,402,475,298,444,142,247,968,603,154,157,900,
476,884,791,549,732,203,251,549,513,249,589,009,091,524,686,449,097,810,360,
865,569,688,510,539,955,123,631,473,993,919,180,847,635,949,693,019,908,601,
066,439,145,512,388,383,857,433,389,042,967,679,117,310,413,664,405,306,504,
558,540,441,445,807,036,725,668,465,479,689,800,801,611,535,279,348,878,020,
839,636,294,281,202,027,131,410,104,077,299,654,921,135,242,807,878,697,263,
300,083,057,737,547,674,200,431,371,328,074,823,630,842,180,595,005,933,549,
965,336,354,727,400,973,462,754,989,775,372,416,556,761,764,382,955,426,787,
337,390,500,599,093,979,359,420,168,583,030,920,629,237,082,853,860,986,845,
687,027,412,800,796,364,140,608,955,487,763,274,768,556,454,480,582,492,146,
544,191,066,928,257,349,917,876,237,628,656,764,860,771,297,340,258,975,458,
493,493,682,188,479,840,416,153,138,799,314,201,887,312,970,634,166,496,612,
927,593,335,054,710,567,257,099,418,908,954,790,165,688,268,862,655,631,560,
923,648,884,699,861,216,655,916,944,066,628,494,350,024,938,712,406,977,036,
678,986,759,730,733,964,434,321,938,531,451,063,756,328,510,634,335,994,253,
957,762,054,175,840,829,594,935,895,111,318,977,037,644,509,756,073,329,442,
732,336,509,942,546,851,119,141,948,945,075,901,054,804,355,356,944,975,004,
221,109,761,117,336,023,760,108,462,974,571,441,875,604,581,728,642,616,419,
266,936,587,245,071,915,530,292,768,103,951,249,881,953,323,584,007,779,840,
659,081,343,624,178,930,528,426,785,125,950,636,288,682,155,195,515,216,693,
590,756,655,019,277,520,214,181,119,039,206,604,416,531,746,485,937,180,006,
219,188,500,148,219,913,901,084,540,014,937,953,006,330,064,248,674,548,082,
644,618,718,245,105,466,664,574,609,683,074,787,433,693,889,299,587,670,177,
909,068,015,324,948,607,388,895,884,907,621,054,607,773,010,613,904,290,695,
165,934,053,363,592,798,000,960,756,563,128,359,038,856,779,326,831,447,753,
296,995,717,928,326,602,151,981,476,643,304,923,245,572,945,601,635,883,063,
027,817,156,048,923,450,753,475,840,616,569,306,698,574,419,978,107,262,199,
706,678,976,621,673,269,370,847,291,441,609,637,227,175,667,703,730,468,703,
498,972,168,123,410,106,975,846,922,989,825,441,765,971,424,514,403,974,023,
978,663,949,180,068,966,275,713,137,392,579,383,559,136,859,595,549,852,598,
849,046,637,137,867,288,484,814,135,745,148,955,577,617,810,122,848,163,052,
379,382,039,170,824,581,307,827,962,632,053,616,488,251,369,615,878,479,861,
885,708,941,588,267,718,113,549,881,252,224,907,219,807,457,827,029,120,157,
022,892,125,220,228,707,229,655,938,034,284,118,471,265,694,802,097,311,414,
422,303,888,957,501,996,766,757,862,555,529,005,214,767,876,639,030,698,366,
080,508,096,834,699,716,685,285,272,767,028,537,608,208,651,766,104,487,366,
950,056,610,652,344,403,649,366,451,933,117,284,729,346,773,575,676,932,598,
584,410,457,738,738,239,583,523,607,349,493,271,112,056,272,411,253,627,922,
291,924,678,595,501,450,029,993,585,010,669,185,007,331,946,379,891,374,446,
336,697,448,285,477,118,587,393,253,477,233,387,486,376,510,246,855,616,109,
016,662,092,484,894,577,008,607,100,930,017,518,396,545,758,126,822,510,529,
834,006,931,777,642,763,292,656,316,533,405,470,990,862,871,249,521,741,945,
366,977,825,160,926,785,080,650,604,727,229,509,238,911,681,116,665,240,430,
204,755,171,093,541,842,400,445,980,877,225,231,886,223,046,191,218,395,150,
659,629,980,524,849,709,172,207,605,771,256,992,937,456,845,190,755,128,351,
858,096,700,197,921,682,979,691,571,071,889,270,314,143,305,525,672,497,841,
901,025,388,548,121,350,441,768,009,572,826,269,131,134,339,080,451,314,919,
532,503,923,925,244,239,863,765,284,552,453,366,575,937,193,734,812,063,771,
745,351,184,801,695,981,808,724,590,572,370,092,326,844,056,168,409,799,284,
888,014,426,314,631,164,018,324,253,203,907,473,759,352,825,057,773,911,839,
886,001,966,028,172,524,892,957,213,472,324,503,799,966,213,099,707,751,487,
256,332,574,074,401,593,923,417,881,409,985,516,966,943,441,376,085,966,772,
246,633,883,121,717,106,065,911,238,713,896,008,648,069,873,099,891,777,000,
710,020,018,480,834,008,573,137,489,174,872,838,103,034,042,836,684,450,996,
811,472,097,416,805,239,711,513,736,184,225,681,775,585,061,026,653,607,772,
835,091,462,162,979,368,269,945,190,682,373,028,922,517,493,322,541,126,448,
405,889,587,135,152,233,040,154,155,051,075,988,296,190,590,410,180,374,197,
818,116,627,466,273,845,597,862,745,051,801,651,181,398,436,784,304,002,845,
848,273,847,105,687,542,598,542,515,041,376,550,616,048,395,843,725,438,599,
374,534,990,904,718,112,592,383,456,116,728,975,482,079,920,630,847,439,561,
274,078,927,082,815,514,222,942,782,065,520,756,649,266,220,728,757,158,663,
520,312,761,108,759,251,729,473,017,001,375,327,303,398,941,821,999,017,515,
242,355,272,845,569,666,817,057,183,924,854,073,391,006,232,006,697,303,510,
262,169,932,193,976,539,267,805,363,437,438,325,105,049,070,738,538,918,297,
069,067,107,042,174,736,884,168,719,378,042,085,414,808,602,333,964,715,603,
548,354,243,163,981,443,300,931,818,452,293,685,986,398,721,966,562,693,990,
200,496,456,140,734,515,457,383,141,703,467,159,216,698,183,186,007,623,455,
842,246,135,226,924,517,932,303,209,297,449,668,509,701,304,463,472,822,520,
710,975,622,594,538,300,734,201,501,258,100,412,443,109,785,181,256,495,027,
732,802,307,186,425,737,397,972,357,824,083,142,567,518,695,431,646,166,846,
219,791,266,957,113,534,900,981,628,553,623,560,013,709,530,346,584,117,955,
859,854,051,920,390,602,440,719,246,830,087,878,408,500,912,556,053,910,521,
927,167,787,473,178,873,001,352,940,266,807,623,028,339,204,649,941,026,070,
986,045,693,168,285,855,898,335,692,907,604,715,271,412,264,706,819,001,283,
223,468,346,328,085,074,673,470,295,468,856,738,299,361,757,623,093,391,117,
902,754,939,353,162,117,943,158,769,822,994,255,811,132,101,906,688,904,225,
909,026,047,410,365,817,635,651,243,281,137,790,437,318,764,413,313,026,382,
729,191,935,826,505,775,187,830,262,996,899,839,352,980,841,847,260,451,857,
566,099,805,793,248,176,416,718,909,176,812,905,861,014,135,017,287,017,716,
487,001,756,014,961,391,770,554,776,777,707,585,855,522,400,552,907,011,813,
722,108,958,906,583,246,668,104,226,743,771,898,148,691,770,761,295,981,660,
303,128,439,616,451,638,090,404,440,545,170,391,361,077,235,814,133,304,612,
709,280,685,886,136,615,056,570,696,399,364,253,283,025,291,787,854,068,268,
660,652,838,067,719,051,711,048,638,168,182,695,719,734,353,943,315,196,338,
950,343,269,104,823,405,100,928,129,791,656,813,959,756,086,549,680,706,563,
748,256,861,290,608,035,084,454,825,565,872,063,285,233,708,251,376,128,698,
722,268,754,328,913,931,569,475,664,829,259,106,935,830,994,046,023,351,725,
333,181,028,388,962,189,226,087,239,024,089,566,494,988,252,706,668,239,373,
641,528,963,137,728,247,163,045,305,270,687,113,223,719,936,146,460,631,142,
330,982,527,529,126,939,328,312,718,545,539,988,115,061,397,567,760,850,777,
166,561,451,800,157,668,240,697,451,874,269,892,792,558,170,617,955,425,090,
656,004,914,342,742,601,401,572,184,409,983,309,156,563,810,127,538,068,757,
697,607,789,073,529,765,997,731,694,375,861,471,634,792,109,117,373,827,176,
668,110,172,411,691,947,791,717,645,789,065,748,319,214,648,872,929,548,435,
562,270,670,956,471,737,960,061,460,853,369,935,023,368,986,569,329,707,815,
535,045,450,717,745,122,799,525,335,160,429,463,743,958,460,446,117,770,737,
879,758,733,674,124,735,936,902,628,377,533,506,774,564,709,860,685,087,340,
299,115,181,706,975,283,490,518,354,574,091,973,939,057,878,824,449,837,237,
164,426,541,442,692,497,296,821,790,810,402,704,374,351,258,300,861,312,420,
874,884,391,569,621,446,755,190,228,364,268,269,293,355,548,989,769,787,936,
671,872,584,509,308,575,563,091,002,037,605,727,200,967,116,019,844,893,741,
663,028,028,679,756,279,461,945,184,197,562,740,534,188,660,412,676,586,057,
739,756,385,176,009,501,398,494,195,708,268,576,855,243,354,816,615,473,197,
889,481,381,400,426,679,454,571,831,981,878,839,581,853,679,953,509,193,223,
683,150,679,440,438,460,425,018,321,524,484,125,295,346,701,697,766,419,346,
687,328,043,505,703,594,704,765,408,770,902,692,326,631,072,573,842,137,804,
794,667,643,765,598,334,512,281,918,474,410,231,208,568,739,164,542,834,543,
884,271,243,179,091,543,310,056,355,337,569,665,507,510,919,779,730,755,856,
772,989,604,825,100,443,159,646,610,085,479,220,542,661,655,302,005,107,019,
634,352,163,967,506,183,252,743,915,474,216,926,866,134,052,699,617,368,003,
853,365,833,967,126,523,064,046,287,976,200,038,122,980,119,486,426,823,856,
501,362,892,864,358,356,107,446,688,917,610,984,681,528,647,492,483,362,340,
183,811,887,953,248,806,501,527,785,345,358,372,390,716,705,777,495,443,438,
709,088,238,563,671,668,195,449,190,508,823,799,235,693,309,005,452,586,082,
784,481,884,841,495,308,383,146,630,197,485,044,219,289,505,290,498,868,305,
461,389,924,407,449,495,203,450,846,394,637,733,428,959,370,085,263,988,834,
811,067,016,785,573,916,868,798,214,909,758,326,418,239,973,368,895,754,365,
411,399,458,504,717,900,117,007,957,783,726,901,989,613,640,138,925,948,981,
208,495,350,870,981,922,552,690,888,551,862,873,844,079,206,794,442,127,178,
961,788,187,774,419,598,396,171,010,477,797,838,819,894,677,841,726,824,822,
312,928,595,347,308,363,235,290,039,005,865,055,333,305,731,944,582,744,741,
108,782,942,801,133,512,327,746,316,568,208,915,427,671,629,935,519,480,541,
007,229,147,810,958,985,735,759,768,275,234,892,224,859,021,234,869,118,801,
801,054,195,370,110,914,277,291,106,554,401,508,035,378,232,385,751,671,888,
665,836,891,598,332,678,453,215,264,616,024,006,347,787,961,652,138,807,479,
379,020,233,011,008,915,975,762,188,788,149,457,125,018,859,492,545,538,221,
759,661,701,769,289,093,276,410,971,193,018,703,101,464,497,810,279,582,307,
089,393,447,483,471,107,831,540,399,695,952,756,825,212,718,176,217,245,644,
469,152,920,970,750,385,021,342,022,900,648,043,036,112,140,256,811,925,527,
819,072,833,260,772,644,310,198,054,392,786,872,131,867,979,103,254,896,767,
887,546,337,570,159,971,748,712,767,935,797,559,900,956,106,045,185,532,204,
461,358,442,987,310,001,314,361,131,403,516,376,662,805,980,431,215,759,769,
417,368,931,417,542,074,257,994,677,196,241,271,810,951,136,578,283,475,857,
518,018,565,474,941,451,860,099,675,095,012,047,288,683,020,489,047,891,664,
446,638,276,184,463,658,991,433,912,065,561,873,573,135,600,851,032,255,751,
485,178,789,792,728,984,026,206,987,014,113,430,603,414,726,405,608,429,500,
774,673,869,848,940,849,688,063,366,957,349,839,676,775,581,584,807,316,737,
807,797,629,334,353,939,583,927,483,741,952,853,448,716,071,138,588,173,315,
165,166,041,443,709,423,053,240,923,906,654,960,743,716,545,382,118,635,806,
137,025,310,292,848,103,641,198,726,289,550,620,920,185,154,538,523,946,784,
244,852,338,100,937,344,804,884,148,451,269,150,280,353,932,992,113,406,020,
995,850,773,680,478,915,061,425,845,980,334,305,890,935,094,437,545,609,892,
365,304,160,244,048,130,571,489,696,810,655,665,565,751,188,337,037,844,286,
690,100,236,264,504,677,666,382,368,590,052,955,573,756,194,092,345,049,527,
157,074,607,753,831,680,257,294,397,537,522,391,662,592,605,210,034,578,018,
287,211,623,996,066,642,779,645,613,351,962,398,722,656,152,316,182,302,027,
540,856,467,792,979,329,953,530,708,628,222,879,565,125,138,556,766,553,082,
918,723,937,087,822,164,579,796,551,994,405,629,264,238,895,281,649,447,299,
245,505,894,010,869,106,203,284,166,101,424,940,310,109,254,036,838,451,425,
798,985,435,610,655,411,778,172,210,000,061,295,009,199,830,800,331,403,419,
837,571,524,925,409,731,505,465,531,219,885,995,030,711,986,362,626,070,796,
762,469,984,965,675,088,411,161,660,477,258,283,490,133,710,665,434,419,471,
365,467,430,997,675,152,033,197,814,896,397,107,232,487,919,397,324,728,130,
099,901,971,894,887,106,289,761,723,484,971,504,481,275,455,888,691,521,527,
625,029,692,836,129,433,844,239,650,649,372,991,773,278,673,511,317,944,402,
384,932,910,365,192,015,463,465,813,401,150,638,077,836,552,883,708,551,240,
443,481,002,969,966,984,091,317,006,113,382,501,615,721,222,036,324,102,763,
878,039,184,227,045,453,789,713,931,362,090,350,220,066,554,082,215,754,391,
727,206,586,408,759,561,806,705,093,807,651,388,759,758,721,283,164,105,099,
792,987,051,108,695,341,905,748,566,775,164,417,062,115,722,494,155,301,564,
833,072,080,375,163,130,161,795,956,071,618,893,325,812,083,933,623,712,042,
075,767,677,755,624,122,629,485,663,085,237,105,801,072,505,393,071,576,432,
413,232,784,155,513,344,391,180,617,074,248,933,793,568,124,292,825,052,766,
828,052,897,642,627,637,856,416,017,956,592,401,397,745,109,797,300,144,582,
873,570,609,787,643,458,695,378,071,851,796,269,676,501,866,406,259,017,264,
678,510,271,807,519,794,804,085,656,707,663,119,378,712,388,637,436,772,388,
372,519,432,714,054,459,228,177,913,014,148,770,837,863,448,781,657,956,572,
330,813,421,964,033,096,287,709,361,408,421,561,050,381,050,008,592,712,664,
918,324,006,294,551,782,161,840,667,257,823,161,955,254,337,513,329,162,127,
546,356,851,473,604,923,196,689,801,420,680,851,961,411,797,707,528,286,634,
508,069,368,396,022,638,669,799,635,426,261,477,043,648,311,997,926,265,203,
163,951,729,350,008,620,096,398,038,710,655,695,140,431,658,645,774,166,618,
767,721,278,365,291,665,738,173,623,018,650,439,655,836,504,930,042,613,551,
665,539,293,739,012,638,025,871,287,573,261,578,241,423,549,471,904,962,910,
258,444,056,388,540,168,415,749,545,276,119,809,017,935,478,975,427,580,892,
692,021,120,391,942,889,467,823,312,627,122,665,389,965,134,525,884,656,164,
114,002,928,316,267,097,052,794,869,153,105,280,360,527,808,178,958,375,777,
493,237,348,970,833,750,911,477,951,485,353,317,121,897,701,402,029,090,484,
986,867,107,265,007,357,590,989,723,293,205,204,835,623,027,705,064,519,537,
909,898,571,211,928,941,615,511,481,050,070,096,589,098,838,067,342,308,823,
767,458,854,369,593,110,737,038,509,612,382,115,260,496,487,199,157,450,963,
470,314,329,972,543,314,326,536,306,898,476,379,494,245,731,467,863,602,202,
385,489,454,906,222,610,618,222,054,916,950,780,918,688,407,411,040,596,883,
611,921,243,244,461,601,077,657,543,395,266,229,428,309,662,745,426,623,860,
508,166,299,438,877,571,122,383,128,451,690,062,085,115,387,100,680,332,425,
046,257,180,019,173,235,900,964,103,713,393,224,405,781,713,782,799,901,198,
430,738,768,573,129,531,480,911,193,997,776,281,454,392,871,971,173,473,736,
895,960,826,173,294,064,713,859,190,756,850,277,164,013,135,019,630,942,006,
303,377,731,556,421,836,760,505,941,106,910,167,034,339,086,170,803,762,537,
678,979,588,467,757,037,912,351,488,295,345,289,272,937,124,603,645,421,135,
144,197,625,652,474,673,966,905,744,064,737,700,195,880,354,253,358,147,771,
751,695,289,313,338,929,025,456,366,180,369,968,087,270,134,807,653,790,500,
208,839,809,133,302,510,536,899,228,551,916,247,147,626,809,245,688,613,000,
742,589,780,238,928,565,977,135,053,768,537,038,674,066,783,547,627,041,726,
195,548,675,866,320,164,015,757,388,962,997,146,657,750,607,168,454,104,433,
916,524,941,640,926,088,760,251,078,740,344,387,899,159,694,917,166,377,386,
497,222,041,497,018,720,899,601,331,979,624,564,669,820,400,683,163,463,787,
729,890,163,654,986,528,413,388,106,884,248,513,348,092,697,670,246,593,157,
510,352,065,287,781,255,176,854,465,526,084,089,615,191,140,256,994,199,005,
714,647,129,432,767,471,094,186,393,251,240,766,205,782,799,735,975,849,205,
485,628,911,330,884,220,856,530,314,556,802,359,671,388,856,970,179,483,694,
004,842,880,860,561,798,231,991,919,301,369,612,697,365,591,839,741,673,963,
072,918,313,097,463,532,869,823,657,577,311,218,818,140,553,084,873,018,362,
791,749,121,052,398,405,591,015,482,669,618,101,401,942,135,770,835,800,210,
100,336,785,470,061,981,452,182,533,657,248,247,494,259,981,465,528,571,201,
947,242,768,682,773,786,648,490,451,301,586,650,148,634,475,772,005,318,260,
420,115,634,089,308,451,018,147,614,239,404,392,854,080,978,697,538,175,695,
823,731,552,579,435,180,104,774,700,217,410,407,419,212,010,975,632,503,662,
835,426,952,628,822,577,986,653,155,737,978,016,749,101,365,657,077,623,588,
525,955,493,163,401,692,798,513,111,645,344,338,899,009,831,701,530,954,875,
196,367,856,443,292,431,970,804,219,347,535,769,211,675,322,806,908,655,250,
637,626,913,192,279,846,715,385,119,747,794,363,922,401,744,038,134,901,796,
975,707,807,089,477,168,505,856,964,663,083,779,863,507,656,234,397,494,068,
142,740,305,708,457,534,075,236,382,923,675,326,420,286,849,296,551,055,314,
122,851,621,165,559,989,527,516,131,984,868,863,217,367,291,568,064,395,698,
025,674,184,923,209,714,051,074,342,428,592,882,823,099,039,307,039,451,848,
205,695,894,948,171,192,655,531,777,611,233,712,018,290,727,454,063,265,680,
984,372,470,878,275,113,675,864,578,969,534,125,256,992,789,456,925,487,552,
152,776,076,972,439,263,560,235,629,352,680,718,077,234,934,392,163,178,409,
996,720,429,810,702,917,883,801,709,724,241,317,233,229,952,587,082,726,086,
750,654,922,066,162,521,168,096,235,146,462,866,078,438,842,122,076,751,501,
703,003,229,412,792,366,245,772,879,434,878,854,001,759,908,108,685,250,005,
916,453,796,263,828,339,790,956,541,631,510,039,507,243,769,858,629,036,716,
145,131,946,731,971,771,824,957,729,507,366,062,742,391,660,913,057,091,411,
849,656,406,685,688,271,527,805,600,664,735,705,950,570,960,221,593,990,617,
856,297,437,313,714,625,370,371,859,226,659,111,694,980,282,359,221,305,004,
339,431,304,743,600,474,707,900,512,214,038,946,121,301,723,327,369,081,950,
789,156,406,316,114,951,065,194,579,648,507,162,014,000,393,680,936,354,427,
213,747,163,368,500,050,917,105,022,334,314,075,600,989,688,938,690,234,395,
845,624,206,039,056,363,894,485,424,699,552,281,684,074,037,976,877,271,552,
607,252,859,694,039,255,293,761,229,610,612,378,221,090,088,196,121,619,007,
367,172,898,954,553,406,551,145,392,923,746,147,363,795,806,919,656,100,808,
166,766,159,916,385,129,260,494,316,421,479,774,128,699,620,960,851,727,948,
309,116,220,524,026,945,986,296,359,233,081,144,172,517,855,438,212,350,970,
381,410,046,116,771,219,996,559,508,229,849,090,374,559,690,353,007,355,384,
482,058,059,548,205,395,035,694,743,616,248,262,834,196,911,598,188,027,552,
353,815,284,062,181,727,342,115,523,320,559,715,896,826,866,749,776,446,417,
226,426,088,660,693,150,702,902,289,367,045,341,905,893,351,044,075,603,853,
258,425,874,678,876,679,866,344,028,396,442,929,480,237,009,918,936,583,076,
072,461,615,943,185,713,329,095,702,485,395,012,941,334,452,176,215,387,873,
078,417,331,926,980,321,615,915,666,427,475,965,796,243,186,372,601,586,398,
966,211,376,463,083,192,992,463,017,262,041,808,862,053,812,195,838,530,252,
651,999,264,694,552,226,960,611,821,898,609,107,928,595,386,834,309,992,922,
089,183,379,605,829,664,162,670,800,395,549,188,252,848,250,160,369,864,686,
020,700,056,979,218,829,988,606,573,819,064,967,852,987,286,313,089,880,154,
228,135,841,374,943,142,189,193,316,051,790,178,420,313,663,975,788,372,492,
389,889,299,480,876,495,095,529,323,505,781,385,982,582,732,811,343,572,877,
861,964,950,751,008,356,062,581,993,570,283,688,591,143,919,440,248,032,997,
787,718,151,846,891,406,157,036,120,288,398,663,557,235,302,513,847,036,981,
764,667,606,053,354,969,481,567,005,583,417,785,277,405,853,795,609,920,092,
282,540,044,188,479,446,971,556,803,608,608,505,338,663,633,174,938,044,995,
900,173,650,662,135,088,381,631,451,618,625,969,517,824,206,161,191,059,364,
102,754,694,401,520,369,423,747,278,403,970,493,314,921,505,967,998,447,259,
467,629,710,955,663,838,595,285,941,242,202,973,913,804,573,084,914,209,267,
360,093,589,318,900,712,032,193,743,291,649,180,585,686,596,865,626,838,571,
151,958,405,128,068,075,199,231,609,567,957,140,359,085,770,774,228,514,754,
218,243,674,886,001,253,585,561,954,927,533,603,345,928,310,909,136,597,879,
812,459,165,481,790,592,028,727,729,856,243,995,589,583,470,142,526,942,948,
350,016,230,325,798,358,565,512,856,420,324,081,601,282,718,302,939,333,936,
528,374,825,974,005,922,834,627,586,061,771,079,230,519,731,227,814,380,134,
841,174,232,625,788,436,457,134,511,354,438,898,162,350,772,764,229,335,500,
044,597,032,038,801,004,468,062,932,435,757,546,232,280,978,129,194,927,504,
395,827,272,139,845,167,405,727,052,532,395,116,320,411,174,174,804,061,542,
860,932,433,875,886,411,962,862,005,723,181,427,446,744,600,939,834,722,548,
737,359,684,533,773,438,650,159,532,615,204,651,078,677,180,177,243,376,198,
109,622,756,092,872,223,509,685,328,813,841,224,287,717,046,513,825,792,167,
091,688,203,847,278,765,498,380,486,757,585,547,917,975,927,573,226,701,802,
210,828,804,061,272,231,962,750,898,838,515,409,098,239,082,583,328,697,374,
535,923,343,774,180,226,412,914,693,574,615,568,197,937,213,088,160,166,742,
128,946,493,098,122,064,176,749,348,983,837,277,997,058,329,098,650,844,076,
283,169,034,046,098,179,799,282,403,018,465,346,099,724,908,618,414,587,878,
330,045,644,919,119,813,109,790,754,072,181,866,150,231,666,031,625,366,688,
864,474,044,301,944,650,618,052,311,347,809,665,440,050,116,610,367,566,588,
571,660,673,169,980,236,168,423,091,563,765,541,519,343,902,077,479,146,632,
104,195,441,454,385,566,187,784,896,607,553,976,119,542,474,376,999,053,256,
694,373,710,764,048,386,945,394,850,480,918,147,537,968,246,127,364,529,348,
490,825,822,636,758,104,989,366,470,307,194,985,567,725,283,832,388,955,297,
967,397,344,870,781,841,531,741,992,737,992,137,347,462,055,753,864,242,911,
183,526,753,174,082,056,631,941,100,720,582,806,931,208,358,698,186,912,675,
226,156,842,552,813,236,846,887,205,408,722,205,622,078,260,205,418,927,195,
959,770,993,941,522,589,115,257,662,521,402,595,169,841,724,605,393,522,029,
604,404,280,557,411,065,214,049,530,496,078,156,842,889,771,577,095,524,631,
082,852,647,490,537,105,628,839,249,191,841,433,752,852,262,966,753,271,565,
188,023,257,154,172,572,368,651,769,683,973,728,055,471,433,275,944,367,813,
362,381,766,052,633,162,060,520,071,589,115,378,279,774,027,359,098,625,960,
314,580,975,353,309,353,881,496,100,366,847,406,209,606,746,678,746,087,114,
904,878,661,095,934,925,654,701,000,905,103,905,852,737,465,770,817,279,927,
476,381,399,130,757,854,082,942,227,045,023,768,413,392,321,341,033,553,362,
198,046,818,235,268,814,085,532,176,730,940,694,941,780,989,052,257,951,588,
660,873,904,675,537,298,310,667,921,691,399,167,464,283,727,165,415,334,689,
725,453,086,513,344,245,475,175,847,261,416,687,314,438,045,468,741,296,080,
527,181,945,881,169,399,490,561,586,897,403,655,615,093,138,178,635,469,783,
168,511,407,559,510,398,454,619,027,527,308,415,872,137,814,747,069,068,120,
290,186,086,870,848,453,923,428,559,709,593,360,304,291,495,805,862,745,765,
621,048,559,447,932,933,337,456,470,976,302,726,794,200,670,659,532,133,482,
932,288,440,349,701,900,202,673,798,148,115,130,921,566,478,523,537,040,762,
315,171,300,768,090,664,937,058,383,511,834,512,351,816,536,002,612,293,182,
436,730,670,058,900,707,541,691,880,971,606,675,534,184,421,628,420,068,893,
672,373,742,473,362,807,851,266,051,206,456,857,437,900,868,699,901,460,815,
915,475,239,219,560,003,896,650,784,222,491,999,218,590,466,973,671,131,972,
266,113,507,487,403,035,071,424,672,312,429,469,141,821,388,324,050,892,308,
549,606,266,070,952,311,785,712,302,420,729,466,103,662,603,132,563,599,990,
150,223,404,892,267,258,679,965,770,691,747,768,677,049,931,260,204,813,066,
623,367,990,242,733,597,832,030,506,080,488,824,680,782,645,165,247,666,819,
285,855,579,268,299,863,048,109,369,720,984,746,147,910,805,562,895,764,422,
291,680,249,504,964,226,172,229,904,561,634,183,747,358,823,751,109,218,617,
710,727,802,071,636,468,316,751,923,912,480,006,161,257,454,928,841,929,686,
999,044,476,994,613,056,070,473,228,191,901,628,040,646,565,603,677,980,067,
196,016,280,308,610,371,436,143,989,671,129,194,994,171,295,648,899,106,553,
478,796,271,505,074,724,041,224,578,473,564,887,722,144,105,574,909,308,986,
457,388,766,463,580,977,289,985,667,245,704,429,707,799,514,407,545,779,362,
915,399,383,396,478,068,904,232,992,470,898,391,448,610,355,445,348,683,517,
345,768,463,229,299,964,127,738,527,585,359,779,174,543,795,982,043,136,740,
392,705,235,606,701,359,717,994,741,722,660,450,548,470,677,753,394,785,830,
185,740,393,768,976,926,589,981,862,461,578,544,458,539,569,470,298,929,173,
259,509,212,121,623,620,083,562,818,791,627,144,433,838,991,654,321,837,624,
520,970,397,432,526,439,148,760,018,531,702,769,338,402,277,636,892,621,177,
673,807,821,833,430,014,943,049,917,456,797,273,773,287,519,924,400,530,106,
650,553,688,221,052,226,990,801,203,358,185,834,531,006,529,930,324,009,701,
561,886,532,676,536,743,069,847,489,425,523,908,319,674,591,631,988,527,864,
997,248,349,138,586,269,280,872,053,153,152,544,019,536,669,884,145,030,803,
798,803,097,684,075,993,440,504,273,473,539,926,066,223,188,831,215,927,894,
012,512,737,090,100,267,711,559,363,019,177,357,886,156,925,991,389,531,134,
814,432,275,257,470,987,630,292,256,181,987,142,024,048,930,816,472,830,088,
507,498,086,334,618,956,629,000,828,331,436,018,298,046,297,485,908,310,216,
285,399,333,067,467,655,359,736,318,613,586,216,054,811,127,542,676,694,811,
972,286,093,223,769,157,356,480,326,275,446,827,264,639,789,539,223,669,524,
213,989,142,357,253,036,146,892,340,591,352,202,201,261,309,201,583,302,651,
602,478,401,238,040,994,983,551,361,419,110,544,275,444,318,628,749,229,103,
757,256,890,036,389,247,553,656,242,962,858,813,705,681,172,547,094,867,286,
878,937,229,692,652,913,622,417,660,086,048,080,820,041,729,015,472,125,003,
518,894,337,565,956,939,232,831,260,509,964,290,274,233,818,273,378,201,455,
677,036,075,486,898,245,233,429,281,443,264,186,448,334,868,414,115,703,519,
378,193,217,629,907,877,941,333,986,283,410,783,079,451,179,969,869,878,899,
118,383,139,154,667,591,241,063,755,317,181,561,402,201,791,464,783,276,043,
873,652,829,842,421,648,258,918,550,087,834,991,505,312,657,250,764,815,702,
534,120,855,352,949,924,410,479,986,134,807,679,053,478,784,939,720,985,689,
609,194,006,090,032,773,413,057,239,886,257,126,089,854,953,319,231,769,343,
808,717,905,631,473,673,152,149,967,469,415,490,733,844,066,003,600,500,523,
485,108,079,466,830,103,621,855,517,163,712,242,829,616,482,792,735,130,535,
460,288,364,745,691,395,454,771,607,894,442,834,421,519,337,113,441,755,165,
828,600,530,811,509,065,182,283,319,238,183,463,282,181,005,100,289,259,385,
818,666,660,951,518,595,102,832,503,441,289,957,195,600,495,278,702,983,884,
513,582,344,939,335,490,123,060,089,161,458,675,110,396,006,197,758,569,943,
892,816,798,122,487,928,888,267,284,604,518,649,050,569,308,092,899,951,544,
104,316,895,204,636,666,248,501,075,046,601,127,595,460,754,441,762,069,427,
622,378,351,898,686,978,347,514,509,495,941,125,372,020,501,898,462,861,662,
970,902,181,505,366,952,794,734,958,999,373,856,866,052,280,552,451,897,405,
705,818,049,544,509,996,918,329,823,357,415,773,230,295,336,720,911,665,144,
647,988,759,228,913,832,522,446,132,540,032,549,011,422,598,643,481,363,205,
463,073,537,682,124,124,184,604,627,949,975,736,613,514,195,496,779,890,591,
144,124,648,782,486,136,092,933,022,474,244,712,051,192,370,164,787,982,359,
178,608,256,351,933,887,914,408,414,710,825,156,863,142,687,386,703,541,348,
046,036,039,293,572,091,000,128,827,663,374,521,007,495,277,504,910,078,214,
930,619,664,695,998,110,394,420,254,744,773,215,341,080,463,938,692,738,331,
627,930,989,049,149,838,712,752,149,514,935,560,142,551,479,510,502,229,772,
359,646,986,773,768,295,792,642,855,327,659,549,662,562,663,587,123,050,561,
726,853,941,589,917,690,376,938,735,423,559,697,975,151,889,026,788,102,224,
615,070,125,782,614,229,186,554,569,465,500,119,417,122,129,730,993,292,106,
140,120,288,621,196,411,475,075,303,530,205,621,659,303,141,119,314,650,086,
066,495,350,990,093,857,531,796,859,380,934,278,864,117,588,020,031,131,129,
618,360,553,597,083,784,598,482,172,710,681,113,190,471,093,431,295,540,726,
790,204,004,717,881,771,676,627,404,120,536,815,332,361,999,854,704,005,281,
916,203,702,085,541,550,287,465,855,798,760,410,172,710,735,606,263,940,432,
877,557,092,060,773,618,568,744,342,020,654,760,835,494,563,254,111,209,630,
754,517,686,498,466,567,764,422,010,551,759,951,914,450,148,813,368,752,716,
251,653,319,212,274,854,787,004,179,207,690,184,270,466,813,900,289,957,725,
243,839,658,474,117,865,717,774,491,562,993,504,273,356,492,801,264,927,834,
402,813,276,003,700,423,780,391,409,168,223,366,834,364,016,059,934,523,816,
779,015,836,762,094,455,809,235,702,191,536,419,262,657,865,808,665,240,157,
909,673,915,738,275,490,050,679,842,720,648,434,085,503,764,755,032,004,301,
908,214,776,415,633,602,092,639,126,725,739,945,968,416,074,063,998,578,894,
407,489,405,504,505,775,820,324,481,771,440,004,867,068,109,600,389,930,406,
367,347,179,969,665,450,341,837,615,040,772,786,910,682,018,913,274,658,011,
430,493,542,057,323,188,952,344,143,228,825,601,090,413,679,894,157,816,902,
285,268,069,231,083,243,320,671,207,144,355,175,743,115,336,229,686,609,512,
828,664,548,824,827,628,911,242,172,841,448,077,828,179,160,895,390,839,984,
581,634,347,804,582,533,515,218,617,612,729,821,064,028,192,828,640,844,911,
241,075,867,512,928,151,094,860,343,035,141,286,462,883,488,694,115,790,042,
027,960,586,192,576,037,754,244,055,906,090,539,609,380,516,298,402,481,938,
686,960,785,595,190,261,276,927,728,592,521,183,720,657,795,450,177,526,118,
579,498,490,525,670,677,418,592,594,205,999,624,683,794,795,008,842,954,629,
209,833,992,101,667,499,992,898,462,387,065,873,944,273,255,176,862,269,788,
999,348,623,016,927,980,432,851,164,477,630,841,162,041,289,740,483,608,095,
990,965,274,113,924,049,603,398,600,156,493,946,126,902,948,392,714,922,729,
412,614,362,151,754,358,815,485,031,498,390,560,832,479,856,508,131,348,429,
255,739,403,164,489,323,555,588,041,140,796,933,354,014,108,397,330,037,786,
794,729,724,912,171,152,705,348,850,495,002,435,585,455,054,649,470,128,030,
105,621,309,456,689,045,120,147,033,986,203,850,251,440,500,254,990,402,746,
124,915,244,127,850,281,493,581,049,097,139,969,054,148,946,478,752,077,964,
613,760,252,270,494,667,021,438,327,003,816,638,000,956,375,884,160,773,705,
470,074,664,010,647,199,289,440,901,783,539,689,009,163,887,791,898,489,860,
120,137,137,806,690,715,084,820,494,893,255,573,234,222,855,804,798,836,686,
249,732,590,913,973,060,442,588,713,265,778,092,588,222,755,965,439,247,667,
316,653,476,185,561,484,239,447,921,575,708,090,466,621,095,794,344,625,736,
313,495,954,320,167,430,138,567,992,181,433,422,984,110,877,105,281,558,611,
006,361,609,290,798,277,608,423,686,793,718,051,190,679,056,183,348,839,850,
161,721,556,115,741,679,617,411,194,100,905,284,618,225,075,892,292,612,677,
808,613,942,881,916,838,388,298,090,151,188,854,323,584,938,155,848,364,639,
722,783,536,374,145,500,755,147,751,748,105,741,988,542,219,065,568,248,733,
506,501,877,121,197,113,597,920,979,457,778,740,809,269,001,490,221,809,687,
162,647,855,493,886,192,413,532,686,466,927,733,391,678,863,255,134,410,143,
506,950,345,001,886,999,822,339,445,076,427,299,644,438,086,434,897,472,806,
902,018,752,319,027,822,036,226,274,611,792,912,826,880,851,369,985,851,552,
707,837,587,345,021,786,069,929,296,835,702,088,068,527,361,158,197,597,182,
879,885,426,511,759,032,144,898,884,540,403,186,890,773,908,380,339,761,314,
867,975,589,197,007,557,217,342,898,087,698,905,278,818,489,194,245,378,815,
618,294,451,453,769,371,921,575,306,774,141,794,698,395,999,417,440,462,818,
847,554,716,939,956,369,647,983,130,333,908,851,965,463,889,643,863,408,725,
153,429,045,737,519,483,558,363,756,119,964,804,349,246,099,096,713,777,603,
546,694,165,463,840,871,998,962,842,977,589,245,344,382,709,259,409,354,425,
002,292,397,889,290,261,962,302,047,926,724,014,447,980,875,190,425,352,490,
249,774,511,628,930,713,694,179,999,534,620,783,979,923,985,236,374,052,059,
461,694,447,377,629,909,800,679,442,947,555,115,193,613,578,768,695,934,173,
614,942,595,564,344,888,994,414,388,741,055,646,284,486,464,207,669,821,251,
533,652,739,156,783,947,515,038,748,014,818,771,313,601,207,213,775,887,216,
326,020,080,194,207,937,121,138,022,843,432,571,070,350,836,078,414,697,962,
217,796,484,745,969,233,427,886,016,829,812,115,490,348,311,331,353,441,048,
419,359,929,817,973,326,548,493,626,782,802,522,308,992,040,498,850,255,741,
739,077,242,296,636,022,829,425,210,639,681,391,724,908,895,502,712,610,727,
593,945,908,624,707,931,202,463,173,623,302,888,166,500,269,027,172,861,760,
433,437,789,062,791,962,651,094,485,652,055,731,150,272,728,314,598,807,084,
380,416,674,720,653,735,531,377,665,059,987,767,453,492,154,275,070,477,074,
458,697,315,070,186,818,981,827,955,188,850,626,545,466,062,457,611,126,156,
726,319,693,864,438,863,471,787,934,088,778,349,617,931,938,765,761,999,831,
301,198,191,142,145,971,119,305,911,622,611,880,522,546,362,237,824,025,102,
932,875,313,418,893,354,012,019,078,454,493,989,329,771,251,642,669,831,357,
388,395,928,512,433,844,999,894,176,758,530,538,521,542,739,949,450,055,795,
421,610,886,876,893,769,294,616,175,831,401,801,665,711,593,715,249,132,936,
836,079,367,031,392,808,149,803,269,294,768,333,017,182,159,532,785,948,988,
828,885,773,791,649,549,639,682,890,758,641,650,827,009,394,030,652,611,831,
666,707,864,016,680,745,123,752,956,413,724,910,374,511,496,605,275,563,612,
073,408,268,248,900,492,897,327,013,973,466,851,663,274,094,570,845,522,072,
438,859,170,112,778,527,185,684,574,579,021,624,338,959,334,998,537,385,927,
562,388,549,369,974,568,712,124,906,611,813,945,702,991,853,972,870,140,979,
913,143,871,695,811,063,811,034,913,270,322,188,928,259,396,880,135,263,775,
198,624,716,685,296,031,802,276,034,108,019,882,169,279,206,869,601,887,421,
073,146,027,141,793,801,120,756,238,427,424,466,957,447,984,796,559,625,645,
971,512,353,261,376,146,668,137,289,000,891,529,552,485,067,846,445,908,145,
482,273,748,505,714,880,155,693,645,850,574,015,414,455,840,516,768,744,537,
698,246,308,758,377,168,396,651,708,119,429,405,404,702,285,342,922,128,883,
254,561,619,517,790,500,141,080,669,628,451,713,352,557,775,662,269,774,864,
440,386,219,763,483,736,345,463,095,732,785,037,685,787,205,702,682,165,171,
300,339,743,028,647,923,913,467,420,026,436,540,164,744,088,591,911,898,897,
863,201,488,847,062,461,938,517,091,913,855,728,670,501,886,960,660,673,860,
688,951,432,653,215,072,759,656,126,857,968,121,497,485,581,574,255,141,100,
475,244,571,792,164,186,219,916,486,308,506,096,857,583,724,053,202,538,226,
424,650,066,065,476,418,560,111,190,481,450,396,681,663,832,915,236,092,763,
571,083,880,825,419,925,796,861,396,796,194,938,097,193,013,980,623,365,327,
293,184,906,056,349,082,092,734,372,707,455,558,034,297,227,753,232,635,769,
907,038,839,297,737,258,643,316,929,830,527,655,672,008,975,279,172,018,196,
130,519,431,830,311,432,957,337,487,702,131,175,202,191,973,685,636,241,189,
250,305,602,137,055,023,730,574,057,851,038,455,159,937,892,080,324,517,374,
819,240,977,170,292,489,887,561,300,085,827,723,521,105,452,823,524,509,870,
456,239,111,235,120,162,515,006,388,808,864,635,068,771,640,905,469,550,862,
134,745,068,615,408,107,527,089,318,850,060,533,249,731,136,695,374,633,453,
374,242,817,935,559,492,955,494,408,383,272,618,669,960,709,521,694,256,867,
557,763,843,387,598,075,458,259,577,384,072,606,658,851,014,938,446,473,241,
175,985,017,130,830,199,765,973,024,838,897,724,286,145,412,928,773,775,317,
446,574,137,199,753,633,931,280,157,553,878,739,939,203,725,727,699,615,609,
755,593,440,719,427,644,770,964,874,025,994,029,604,320,521,277,776,636,265,
519,154,647,431,671,416,027,284,054,362,933,850,537,415,215,914,933,675,128,
262,809,913,229,793,996,834,402,036,121,046,059,494,868,606,822,466,778,056,
333,680,177,730,418,482,002,115,934,404,424,901,885,575,675,733,618,915,192,
371,539,992,688,542,420,750,677,937,539,695,582,692,403,331,039,892,130,948,
375,503,365,834,643,358,004,237,070,448,989,394,857,276,007,933,739,264,040,
469,647,655,342,724,609,571,851,147,337,773,547,082,905,895,377,558,898,279,
334,113,468,038,852,462,287,380,698,541,994,711,959,658,672,343,061,025,070,
228,444,030,923,859,770,302,613,470,745,554,381,149,745,298,436,968,136,329,
015,784,689,480,195,482,701,316,201,856,492,559,749,469,556,794,397,519,025,
874,951,211,486,515,744,485,867,661,137,521,903,462,788,438,602,075,092,442,
406,432,895,721,424,066,455,927,418,531,127,417,652,606,435,846,987,485,190,
409,887,433,386,722,638,157,900,471,031,587,960,227,285,952,991,803,638,013,
892,314,974,453,083,114,375,152,955,880,936,836,222,363,681,681,646,206,847,
790,867,915,992,573,086,728,460,576,518,833,286,952,981,237,221,035,508,741,
790,196,891,062,623,028,037,508,440,003,930,335,991,426,839,335,506,780,076,
550,936,931,109,508,521,866,034,302,400,773,586,077,403,206,519,725,926,627,
786,980,116,834,559,084,891,476,981,141,867,044,144,182,804,351,236,391,187,
344,185,502,298,381,026,948,447,051,522,330,341,681,238,953,879,218,060,479,
009,076,310,312,456,399,089,811,836,798,565,552,926,434,951,590,141,918,486,
365,162,969,232,001,614,194,909,653,484,314,537,843,472,481,954,642,580,802,
934,564,685,398,648,541,741,726,058,381,673,315,033,525,144,153,335,055,500,
697,713,602,293,374,295,658,787,577,725,686,745,736,857,487,580,958,053,729,
948,713,277,261,499,718,097,011,733,814,565,458,789,701,748,988,961,538,429,
825,737,437,343,801,370,045,570,947,935,253,670,449,421,529,369,562,008,316,
850,974,429,540,464,169,829,120,191,167,669,612,632,838,635,659,375,476,607,
588,642,734,419,876,443,134,146,820,425,284,773,301,860,267,544,713,609,994,
942,916,713,652,581,922,869,236,042,501,079,363,762,917,872,783,326,285,721,
458,368,459,192,894,959,063,410,533,179,743,511,771,534,186,875,245,994,864,
452,079,902,088,781,859,549,637,035,625,670,395,144,126,032,185,803,750,682,
634,113,675,204,959,604,886,958,561,629,452,226,049,022,341,936,675,318,731,
997,646,906,907,938,911,880,224,718,370,236,989,761,886,365,737,170,315,909,
059,759,078,875,499,256,077,501,886,607,419,432,136,079,267,841,977,871,881,
440,606,382,118,237,239,858,779,206,363,473,877,899,182,879,915,703,060,457,
348,504,648,858,699,377,043,434,443,939,934,474,113,514,043,319,414,941,399,
131,235,120,926,264,711,200,985,222,138,612,224,103,516,236,598,242,647,081,
566,930,630,132,578,334,105,326,299,977,449,296,164,012,478,734,393,755,528,
442,373,730,452,886,041,651,657,006,956,470,199,977,867,317,725,574,574,417,
224,386,155,447,696,156,861,445,752,633,836,485,734,076,765,549,586,891,393,
665,855,502,299,209,578,769,595,877,881,877,381,503,914,641,773,413,125,513,
352,076,635,825,162,367,324,155,263,427,052,166,951,169,540,993,688,354,186,
148,700,835,038,730,318,389,526,060,710,927,665,893,287,678,227,965,084,112,
872,995,582,759,041,388,990,005,900,200,489,045,223,691,648,345,558,751,794,
133,058,502,142,112,460,890,288,711,550,563,943,905,739,846,742,641,133,783,
003,058,120,372,297,432,048,769,587,834,362,653,905,023,697,254,579,992,750,
669,677,033,508,957,136,710,846,929,156,638,986,092,359,251,423,472,958,105,
482,103,411,408,609,869,120,208,864,210,869,167,710,733,382,103,258,163,231,
861,881,751,647,767,382,608,767,932,694,352,355,331,089,493,212,750,240,881,
993,056,273,221,265,737,475,250,802,628,963,025,526,746,191,286,581,178,941,
127,646,759,764,594,175,697,113,990,707,549,433,381,928,443,664,495,536,589,
856,434,193,638,014,464,314,156,110,704,645,146,221,658,730,060,449,411,827,
318,715,014,179,324,204,485,467,721,066,376,677,235,581,004,866,415,007,235,
356,246,646,901,881,154,420,420,321,540,373,023,467,478,817,559,555,719,639,
984,669,654,454,823,740,471,032,208,493,640,995,968,308,266,551,948,620,562,
831,412,564,132,784,454,816,515,085,391,284,628,294,614,970,493,262,845,056,
303,017,218,931,712,901,906,293,484,388,222,571,698,138,482,812,526,537,546,
778,606,523,738,191,330,868,726,953,757,409,415,852,322,881,553,923,459,189,
286,576,890,096,524,277,814,768,338,338,724,166,378,039,186,509,778,568,444,
473,908,660,384,991,129,099,436,956,919,489,160,744,551,049,722,772,166,382,
496,001,837,170,582,062,635,944,352,441,736,520,266,014,686,725,141,933,049,
018,313,528,309,778,157,773,260,035,478,622,390,994,124,875,968,919,077,778,
807,851,177,814,827,413,728,036,827,307,309,392,441,960,799,671,734,215,686,
716,428,754,293,681,895,065,942,130,545,700,402,187,477,138,507,927,224,891,
160,868,925,755,488,506,722,200,651,629,637,237,739,178,183,568,808,766,231,
143,031,445,447,147,753,110,997,142,645,126,075,244,172,624,281,717,708,415,
891,911,756,763,974,604,366,916,200,761,209,495,869,902,643,054,225,057,266,
875,383,515,824,097,505,932,574,221,879,295,820,988,248,221,430,869,947,298,
534,370,648,826,568,121,727,038,038,106,247,519,774,484,842,101,178,869,526,
492,564,451,452,433,698,081,649,893,953,227,242,126,508,907,762,496,948,341,
297,404,345,004,061,844,893,183,758,791,570,273,516,079,964,535,392,162,735,
311,145,672,741,238,283,141,717,078,040,792,602,655,404,700,626,846,920,514,
317,842,731,513,730,876,801,491,045,063,663,314,055,390,050,686,374,837,261,
648,246,904,228,232,630,130,902,160,381,275,017,326,565,832,785,156,570,387,
570,826,584,531,214,680,189,235,865,785,707,700,922,144,722,830,998,052,705,
804,412,405,203,346,939,813,938,567,638,163,435,864,789,848,195,088,014,946,
782,927,193,518,289,788,783,954,567,326,317,087,459,739,548,194,147,963,670,
379,408,080,549,782,005,011,880,553,301,625,810,976,012,404,643,577,737,612,
905,662,853,135,421,674,289,829,637,295,310,417,410,254,029,921,217,668,843,
022,063,007,611,090,258,431,117,796,164,312,830,227,058,034,708,890,692,191,
583,980,576,190,605,455,456,017,395,676,955,752,862,784,415,844,416,490,383,
701,904,382,208,557,088,812,110,156,885,457,622,934,868,553,709,380,922,048,
169,183,465,840,835,656,217,383,653,721,221,457,746,729,455,293,369,143,013,
399,091,574,723,208,021,085,846,991,814,160,693,278,792,316,513,497,027,156,
495,008,579,948,473,074,163,419,318,984,325,345,630,630,637,663,347,216,690,
257,234,502,516,962,261,042,920,435,528,757,453,041,582,780,239,969,343,731,
787,456,184,576,099,716,676,647,157,738,036,779,907,629,490,541,016,399,589,
081,402,615,817,384,521,721,970,345,466,586,828,051,977,769,548,806,800,715,
616,816,827,370,771,764,541,196,452,289,434,500,610,255,995,255,648,202,603,
795,260,286,620,176,283,197,654,784,151,028,544,307,550,333,180,516,742,863,
541,278,962,748,823,964,136,054,215,510,594,982,217,457,941,025,574,158,658,
491,165,116,352,131,132,529,537,132,879,321,985,246,131,668,328,297,848,189,
588,028,655,229,768,491,906,344,238,672,192,887,803,292,896,142,638,127,733,
574,758,306,214,391,714,576,161,981,388,223,054,062,020,931,525,301,805,943,
036,131,697,893,074,966,155,267,549,933,974,248,349,180,618,504,667,549,305,
812,179,806,614,181,757,144,742,445,013,366,628,833,485,915,542,342,128,374,
705,974,650,246,369,053,027,388,965,758,173,922,419,952,854,078,984,470,916,
054,818,632,016,326,309,436,292,723,188,066,893,857,072,323,863,408,631,633,
219,431,235,989,099,710,006,666,747,846,920,410,154,200,630,500,781,969,794,
139,064,183,325,564,219,273,864,656,278,934,848,194,379,732,921,707,469,600,
009,828,236,115,925,118,158,933,568,034,269,464,780,594,180,865,827,937,660,
323,422,099,663,685,677,033,129,775,690,224,754,189,132,642,991,753,294,094,
514,106,672,217,428,272,801,027,458,378,395,550,358,555,871,194,155,791,254,
330,709,351,056,160,743,230,956,144,900,628,587,175,575,430,967,381,470,831,
157,921,277,238,502,047,922,115,768,509,487,175,043,397,347,268,506,344,000,
480,000,903,017,157,123,701,194,461,600,831,326,458,647,859,724,039,163,011,
178,382,331,587,631,899,433,668,666,839,254,670,447,610,714,966,024,319,840,
797,508,193,266,164,710,324,056,867,759,417,576,097,063,178,764,709,640,254,
639,264,635,925,781,448,320,086,509,248,969,105,471,531,320,234,529,491,841,
595,895,087,316,140,827,590,302,504,373,436,886,455,282,279,132,023,355,983,
173,694,489,199,699,958,386,243,073,461,468,765,673,268,671,527,080,548,619,
019,750,108,877,463,495,517,447,834,212,180,579,682,853,535,932,163,740,415,
323,141,160,218,749,116,505,302,713,464,312,340,558,478,399,531,769,275,127,
891,870,542,060,238,957,515,130,371,196,922,258,432,530,975,169,518,605,775,
662,579,559,510,589,805,550,080,077,110,866,900,890,945,755,157,169,065,218,
743,824,463,146,878,615,776,623,669,754,240,343,099,985,921,891,882,883,777,
708,843,962,814,114,697,647,961,415,242,899,791,951,083,144,059,108,830,248,
605,040,957,770,541,070,221,572,448,178,452,275,351,015,196,895,399,304,652,
505,331,170,584,384,087,901,947,914,991,876,842,765,360,680,504,586,295,141,
855,552,862,500,794,173,492,543,947,944,204,331,223,733,849,086,969,798,697,
478,105,938,018,815,810,481,167,144,575,005,459,154,510,133,908,982,697,296,
581,687,309,404,359,708,160,081,874,955,402,875,426,656,409,527,405,682,217,
758,098,444,154,234,914,453,804,224,548,882,516,993,561,937,727,897,835,597,
957,299,549,556,788,554,688,222,600,095,110,011,510,591,246,049,218,528,619,
436,724,380,969,029,442,751,977,794,084,265,851,944,260,638,566,889,959,938,
664,582,099,224,882,267,778,586,854,953,948,259,216,060,120,329,756,916,747,
933,420,692,314,000,590,186,397,301,604,393,954,887,126,914,041,593,172,586,
689,198,892,712,686,161,466,348,599,903,845,011,808,911,759,851,470,242,020,
820,248,915,655,298,214,078,883,713,297,988,063,604,597,882,227,612,151,731,
043,671,266,970,237,239,753,695,215,339,678,177,385,673,619,843,770,942,581,
667,565,970,774,560,038,067,245,514,855,039,433,615,282,307,508,490,698,269,
204,917,046,103,531,411,666,752,805,696,048,514,622,919,119,940,351,966,464,
482,666,475,606,830,729,489,333,493,742,711,307,304,088,118,944,161,337,679,
596,542,398,534,489,431,123,756,079,456,386,495,635,867,933,747,660,621,874,
434,956,234,978,729,076,965,260,450,550,423,820,423,863,291,941,797,441,013,
553,696,419,487,812,977,639,511,522,401,484,620,417,072,564,277,683,021,176,
403,691,638,409,370,221,305,816,250,907,325,286,181,606,594,189,263,930,839,
222,866,352,184,296,048,695,248,188,933,246,161,678,653,227,042,555,287,665,
404,697,607,924,239,384,672,622,660,473,952,110,599,319,269,930,290,467,079,
784,807,264,967,057,156,230,461,691,988,038,165,334,789,736,918,759,013,996,
269,138,991,551,555,848,960,422,312,513,139,258,159,666,725,170,705,120,529,
988,323,120,728,888,074,233,379,617,878,994,258,735,151,571,668,982,134,421,
101,489,868,454,539,153,880,924,084,321,968,211,272,008,699,465,113,369,908,
701,511,743,348,895,420,167,017,176,604,551,344,394,918,142,926,234,518,023,
444,613,838,117,526,581,893,057,445,838,505,037,403,481,318,543,212,843,943,
653,047,549,219,389,094,626,674,314,938,118,160,028,036,204,067,249,737,109,
191,209,011,387,120,206,707,927,992,696,953,406,890,823,190,327,078,170,166,
926,226,071,661,798,497,024,155,035,544,427,522,988,700,536,194,480,328,979,
245,091,869,454,688,437,900,230,637,100,934,563,541,699,517,387,562,188,547,
950,249,407,642,754,156,453,632,703,274,203,111,324,320,921,124,184,970,396,
818,694,621,308,034,843,774,655,528,693,030,668,585,558,291,858,028,816,796,
493,512,343,760,649,988,495,224,255,998,344,974,747,335,059,790,677,686,199,
360,420,474,623,267,576,399,314,614,269,241,679,508,592,165,090,763,845,424,
645,094,273,355,780,994,249,964,986,603,816,576,746,041,863,816,792,969,839,
258,990,858,608,011,009,690,330,807,077,953,377,586,182,336,719,358,367,132,
589,203,753,970,403,770,322,651,877,586,021,642,935,262,020,781,240,323,685,
540,207,467,853,916,963,009,009,424,549,239,027,503,170,390,809,019,931,916,
500,210,148,140,263,950,494,815,645,041,983,384,994,032,389,746,662,175,778,
433,399,136,780,190,814,092,859,070,739,601,871,390,220,830,793,557,515,116,
483,359,099,854,526,357,456,150,772,701,283,732,448,897,947,398,991,962,460,
386,542,743,770,014,249,273,443,110,771,612,979,815,928,187,902,023,600,585,
886,862,811,055,665,631,020,281,636,568,366,978,551,711,936,829,394,645,091,
096,664,950,225,435,622,943,179,808,292,384,618,854,466,420,062,594,470,776,
780,437,502,824,506,976,996,619,281,280,492,957,344,234,009,710,418,729,350,
941,652,968,737,722,477,553,451,404,751,513,408,903,535,964,833,482,108,589,
403,581,862,874,071,666,251,408,021,675,908,200,970,013,760,101,582,912,501,
431,011,939,304,188,577,396,049,629,320,703,742,354,985,287,725,181,758,023,
519,258,855,927,536,009,732,661,149,989,956,316,423,477,452,906,351,578,596,
275,258,987,803,116,319,032,523,439,770,387,490,056,304,354,344,448,480,540,
600,915,664,487,662,812,678,984,704,038,662,618,752,704,962,898,873,266,140,
550,763,835,811,863,394,799,016,633,707,638,361,714,807,424,165,662,649,975,
851,919,935,769,048,046,478,445,728,183,018,718,730,987,211,454,182,873,946,
164,501,662,218,469,151,158,151,021,195,876,533,127,810,770,973,674,874,617,
903,835,396,749,732,376,211,712,010,220,736,882,884,498,984,177,051,496,714,
544,627,579,157,416,986,979,478,661,797,229,933,470,077,998,399,326,973,241,
144,708,971,110,458,204,824,331,302,440,033,694,289,629,696,547,497,342,664,
211,626,395,653,856,552,294,253,820,379,343,264,837,961,930,439,581,039,545,
254,110,760,782,055,389,986,497,985,183,683,049,434,903,601,062,312,211,739,
738,299,822,001,957,376,434,847,139,460,140,497,344,865,282,655,620,097,731,
484,000,829,839,615,794,506,311,276,182,290,389,279,459,471,668,189,100,808,
581,819,504,487,448,481,669,310,535,334,710,628,414,123,987,654,902,764,022,
366,548,388,562,065,361,592,695,197,591,846,589,569,742,203,451,195,737,767,
394,808,108,819,956,260,929,430,021,738,552,125,354,951,944,156,335,679,098,
668,537,381,079,436,731,013,745,452,249,905,516,676,501,433,987,692,092,438,
537,072,714,088,303,858,527,477,916,386,183,200,936,933,733,386,672,725,088,
797,099,352,720,198,133,546,089,920,568,483,942,115,202,748,053,442,740,004,
592,415,617,165,802,284,103,922,319,089,025,363,022,784,141,521,685,564,621,
594,503,486,891,189,532,898,233,429,685,620,099,745,961,221,081,003,872,318,
620,685,630,728,080,360,609,795,909,095,521,305,304,804,039,029,436,818,031,
054,999,649,425,449,122,999,027,328,383,573,041,670,083,662,316,454,242,220,
853,540,729,615,595,802,047,475,639,406,517,531,394,656,576,732,676,566,160,
627,240,645,247,421,260,905,638,633,305,931,897,452,954,169,502,483,757,545,
389,879,242,295,423,487,186,708,531,281,619,244,872,990,147,069,221,066,668,
337,769,876,279,918,672,220,429,167,916,617,122,930,166,688,073,312,097,329,
779,150,772,532,940,571,614,070,679,312,572,866,931,716,442,529,682,636,859,
097,822,591,191,104,943,700,339,993,999,083,452,965,015,354,363,286,258,816,
839,958,098,007,042,132,744,889,276,028,199,141,586,434,142,430,141,993,013,
656,344,210,026,495,561,748,501,499,256,100,591,740,141,967,009,861,260,854,
782,705,305,285,929,446,127,738,843,272,191,555,747,928,392,839,059,054,228,
846,320,442,422,685,187,947,172,838,108,097,853,648,778,337,196,011,210,309,
750,635,510,029,869,012,895,352,207,468,770,144,044,492,177,961,997,075,685,
498,653,986,069,625,957,834,183,286,431,039,701,703,909,162,208,622,674,288,
774,170,201,546,767,221,753,769,313,888,420,398,209,863,932,749,774,047,579,
844,156,610,051,496,767,005,464,518,370,151,896,108,406,540,109,980,867,640,
760,066,662,408,240,618,570,860,065,807,194,192,811,642,373,612,895,815,156,
854,958,245,152,580,416,585,589,938,952,545,066,420,894,935,713,200,108,481,
555,253,598,447,750,129,518,074,226,310,214,305,378,246,517,969,203,685,953,
869,628,499,191,953,356,962,450,102,106,810,386,860,604,937,045,953,217,144,
708,700,386,633,428,828,931,631,422,118,623,432,089,266,760,683,537,464,524,
205,512,225,684,442,685,619,279,559,497,322,026,905,520,952,792,364,940,850,
767,000,012,518,060,849,819,083,397,724,519,098,941,221,575,912,868,086,248,
312,137,660,028,157,781,486,677,209,884,091,646,226,094,762,446,089,318,303,
122,480,718,262,967,738,404,145,644,519,787,856,460,467,949,819,147,913,983,
716,988,228,361,381,769,765,084,312,698,744,922,496,102,218,412,824,061,634,
139,009,304,654,423,550,086,423,981,162,628,570,482,418,555,159,381,329,500,
429,128,244,576,507,051,730,127,388,252,972,337,966,921,337,353,422,832,943,
790,180,079,558,454,787,135,130,989,497,241,460,868,386,026,368,866,066,030,
038,106,960,642,800,189,618,265,134,540,654,873,778,976,606,334,710,145,571,
488,258,666,627,472,467,387,433,945,410,775,794,337,886,232,733,725,598,352,
163,875,517,810,866,700,526,120,418,780,960,582,036,196,771,773,587,295,376,
822,334,358,652,141,964,660,082,295,714,315,304,323,885,698,766,980,912,606,
712,275,677,526,375,926,176,131,762,896,385,639,953,565,937,427,084,265,121,
694,544,191,417,164,308,282,754,695,016,404,962,279,443,296,600,685,349,482,
744,236,405,853,646,675,028,232,951,698,083,343,602,987,402,103,208,264,859,
120,016,038,631,426,391,879,437,255,892,239,863,687,008,448,740,401,572,915,
360,869,247,163,336,589,029,921,847,630,041,998,096,174,856,239,495,063,971,
828,320,813,451,333,067,767,602,180,534,008,232,414,715,632,866,653,636,469,
158,711,475,563,947,220,307,630,583,437,967,383,102,092,457,337,633,098,216,
272,828,851,898,868,186,463,975,479,871,235,900,870,821,488,948,354,954,201,
680,068,356,622,713,188,309,701,531,523,945,554,495,897,567,330,296,605,293,
779,960,825,026,879,088,599,825,050,941,325,437,907,784,472,034,517,994,048,
323,988,929,953,186,007,591,441,387,494,734,891,788,260,868,048,885,041,823,
995,013,164,526,153,240,114,625,557,538,573,165,364,664,019,107,823,163,928,
081,469,252,621,591,675,834,149,888,668,335,327,919,559,978,771,192,901,659,
728,893,118,434,046,724,931,594,840,733,586,330,560,054,477,720,932,366,558,
944,377,679,647,331,231,864,851,883,465,102,186,924,712,185,190,991,427,839,
098,216,314,751,182,278,768,167,047,605,048,541,696,703,496,746,700,272,838,
260,222,866,337,630,848,281,200,400,353,608,324,796,133,474,376,687,358,014,
657,180,600,977,975,336,383,755,247,921,977,414,215,002,428,899,021,314,439,
551,522,829,282,224,228,765,908,171,598,586,859,749,339,978,115,936,988,839,
267,094,312,382,514,156,463,532,619,582,105,721,286,195,800,497,649,408,881,
429,619,271,363,037,355,671,208,506,796,416,749,767,712,537,136,588,587,715,
694,276,105,892,860,743,655,512,094,767,384,918,330,547,629,190,384,856,877,
176,674,621,329,741,053,718,923,170,254,963,901,342,594,364,517,914,096,282,
060,757,879,139,448,454,220,015,305,049,833,710,003,178,884,272,142,144,041,
975,086,078,008,238,146,679,902,127,533,840,047,745,899,665,358,359,950,592,
085,138,856,634,624,764,806,279,222,954,024,778,454,944,533,102,300,149,407,
415,404,828,804,801,329,490,498,900,261,087,853,218,373,593,876,725,217,146,
598,656,159,970,640,839,407,731,998,764,250,968,677,261,020,101,414,594,124,
465,556,977,487,696,026,209,063,274,840,385,420,149,501,528,222,320,311,115,
570,367,980,559,269,183,630,695,162,915,315,286,559,400,379,457,136,769,527,
443,136,989,629,830,023,685,193,262,725,135,848,926,660,935,764,282,356,182,
909,925,598,539,810,271,473,655,455,960,992,529,331,958,807,355,716,235,196,
079,228,834,102,196,951,266,542,376,880,026,118,232,259,303,016,429,899,178,
608,957,812,059,040,014,176,943,723,765,468,699,936,157,737,132,652,355,173,
221,226,239,461,741,943,860,750,661,173,747,904,090,797,921,046,208,160,945,
022,368,551,618,966,520,258,132,769,900,349,954,167,640,231,879,701,597,009,
474,193,238,170,815,253,284,260,277,450,407,504,878,233,368,766,851,478,937,
019,483,878,654,092,047,310,209,912,385,203,337,009,821,836,543,315,663,079,
629,738,215,607,096,117,986,208,430,932,453,744,506,905,805,051,982,279,693,
922,715,064,028,023,750,359,304,969,968,884,158,107,901,111,470,895,209,596,
805,005,542,828,249,637,815,465,418,286,503,727,100,347,272,830,848,988,117,
174,295,485,655,473,931,896,423,816,221,472,327,518,852,224,033,306,897,796,
933,847,927,492,961,086,178,325,044,098,572,024,945,752,692,104,379,099,828,
992,711,955,126,531,965,139,760,067,996,005,329,607,844,056,706,460,199,199,
658,077,978,484,502,295,975,441,007,077,991,490,879,032,137,185,475,160,678,
838,755,937,449,133,898,719,314,797,998,224,377,874,727,161,560,629,413,808,
043,988,197,471,510,617,393,522,689,010,528,067,198,116,400,208,853,137,353,
839,033,422,155,855,039,854,478,151,811,135,540,751,157,270,015,558,276,596,
848,926,506,422,965,440,011,585,584,923,534,532,536,757,774,973,011,589,876,
885,809,177,063,237,149,438,430,564,158,945,055,794,882,328,050,189,937,622,
544,515,146,473,263,757,647,929,161,748,559,966,928,903,137,602,776,753,571,
416,016,735,588,298,426,744,998,321,109,884,344,787,104,922,331,256,223,260,
162,612,429,284,544,896,648,117,004,073,169,670,696,224,255,946,352,261,347,
301,697,236,617,419,666,190,460,097,118,441,764,428,314,959,605,505,628,581,
002,190,008,122,296,652,107,780,059,278,275,679,273,995,571,080,727,455,271,
623,293,882,246,117,131,743,977,324,692,127,506,507,936,742,434,960,229,748,
698,156,319,206,362,549,131,337,009,741,528,471,325,342,472,585,185,103,157,
723,297,408,856,016,511,767,349,621,273,713,062,605,533,477,919,598,540,652,
233,324,942,974,511,426,730,306,422,908,220,202,779,423,202,303,860,511,734,
511,409,732,637,352,178,655,230,475,021,669,461,202,008,034,623,312,567,876,
985,274,447,104,269,261,430,899,959,994,401,742,325,646,770,638,376,187,289,
658,798,016,865,757,516,177,561,363,264,706,506,960,450,282,560,588,279,087,
310,366,855,014,681,595,839,990,861,996,538,007,462,218,001,959,485,491,929,
711,861,198,544,786,559,597,104,082,683,265,264,423,364,630,178,095,346,365,
609,994,330,106,017,599,141,294,938,280,739,352,042,027,412,123,866,541,681,
128,248,163,470,282,628,450,383,746,991,635,557,503,514,696,853,049,280,687,
946,070,432,698,099,675,210,189,688,282,980,004,736,179,820,270,076,549,041,
954,153,359,084,267,339,299,117,490,517,789,290,685,494,236,170,230,750,264,
140,994,984,999,670,432,652,089,122,088,071,473,269,431,516,859,343,767,401,
246,005,270,117,197,893,320,956,089,025,135,493,002,302,291,985,185,025,809,
190,709,566,067,642,484,225,301,343,326,155,944,207,195,809,550,272,389,608,
089,213,227,526,806,127,914,410,756,494,836,140,573,582,409,905,979,267,397,
862,730,786,434,459,462,511,672,637,622,630,353,158,261,770,946,416,740,625,
887,908,900,919,567,422,583,250,965,944,972,806,055,177,032,055,070,550,376,
180,410,176,273,648,127,017,966,697,956,115,463,163,295,626,853,102,045,409,
031,169,723,405,975,264,353,040,110,648,578,139,634,839,444,382,911,626,357,
282,379,318,658,137,779,147,882,662,685,461,847,959,086,081,883,369,686,084,
190,195,006,722,575,741,219,473,824,766,454,420,898,942,272,039,731,379,103,
961,214,966,667,062,265,192,146,338,396,407,245,869,548,262,807,478,369,471,
885,060,967,707,018,372,732,886,416,080,477,285,369,790,869,854,549,882,286,
293,717,860,692,774,523,678,843,627,631,151,674,516,198,055,938,012,782,057,
629,554,654,777,723,641,306,767,536,897,359,232,017,260,867,112,530,518,175,
161,826,358,255,866,833,503,737,945,004,990,852,932,547,840,223,963,298,200,
585,693,547,238,626,503,815,724,916,057,504,953,836,980,106,069,978,212,696,
299,967,664,337,948,247,329,844,084,369,401,375,859,073,635,334,677,683,205,
889,889,449,100,069,853,733,709,031,606,978,704,580,085,775,952,672,425,432,
606,319,916,430,401,596,852,382,524,846,856,642,165,639,599,485,619,027,933,
302,551,812,031,594,808,362,426,998,286,181,609,598,532,710,609,204,802,091,
417,086,950,935,877,534,930,931,626,474,483,675,535,336,368,389,210,770,425,
251,827,288,146,215,533,733,603,467,652,869,215,537,278,919,642,559,345,568,
457,531,500,766,961,568,828,082,502,028,494,064,416,024,493,278,613,276,999,
155,138,656,556,877,592,759,200,306,444,779,415,714,647,114,911,248,201,596,
045,647,224,626,362,937,653,276,096,178,309,273,846,858,514,252,906,244,842,
723,689,457,604,310,606,126,748,527,638,118,538,992,295,129,074,875,669,823,
207,142,964,257,556,363,258,081,550,317,979,364,331,506,477,004,621,025,412,
971,406,803,129,583,279,056,885,867,210,389,638,492,918,880,258,420,042,449,
486,935,517,614,753,946,751,976,703,888,601,377,034,723,719,905,871,479,720,
321,468,042,787,348,881,034,913,142,766,249,790,666,224,202,553,324,510,703,
410,672,392,673,194,579,645,951,832,605,290,848,138,858,777,528,121,890,713,
090,596,334,542,586,467,081,172,698,040,753,584,381,900,225,620,944,650,975,
084,206,632,875,726,403,341,645,381,108,876,006,161,805,819,041,477,177,313,
496,086,478,250,153,458,790,099,554,341,598,068,269,792,728,719,909,681,883,
886,379,671,781,599,581,050,229,365,886,539,574,566,865,868,046,128,084,272,
359,338,193,601,784,667,190,947,398,365,981,813,544,619,917,463,322,396,340,
110,293,505,225,129,847,756,658,412,350,978,643,340,043,129,649,368,682,697,
144,391,640,344,406,935,620,016,778,098,789,482,709,583,806,672,257,643,056,
968,349,489,209,571,827,493,491,249,919,347,407,493,384,997,312,452,794,364,
685,920,878,979,896,164,018,432,267,007,160,049,264,540,718,530,035,947,475,
961,846,777,835,422,330,173,513,972,207,048,294,202,889,687,348,047,950,554,
947,321,176,714,980,476,819,816,408,138,234,494,017,960,406,376,208,513,418,
027,233,966,705,999,904,713,956,078,537,122,864,736,851,171,154,032,949,804,
052,251,976,717,524,860,896,074,171,361,799,738,204,223,401,687,552,957,755,
674,659,828,359,687,063,276,187,970,508,123,535,125,336,387,105,009,547,840,
914,577,746,427,358,335,637,254,630,198,549,696,662,110,781,275,655,695,446,
908,360,321,342,839,004,697,191,898,946,480,737,729,626,698,380,179,031,521,
103,115,680,473,546,924,949,622,007,387,037,167,529,101,238,976,734,198,926,
143,713,424,556,862,148,536,470,019,454,787,365,913,552,897,508,850,201,251,
002,757,270,405,613,956,849,416,618,899,399,319,803,323,578,251,340,030,901,
118,316,886,435,065,347,510,552,748,751,982,171,224,688,160,452,047,514,664,
182,006,979,596,780,599,179,914,303,880,148,361,098,609,995,842,823,758,024,
855,777,213,296,951,546,379,883,582,445,735,283,621,591,390,906,375,392,521,
699,896,743,728,095,003,055,550,158,846,932,010,873,327,171,716,888,079,225,
921,335,643,405,966,583,994,784,570,328,035,672,738,171,227,895,371,177,749,
903,725,536,939,344,976,554,736,237,957,496,896,490,795,176,496,207,738,632,
245,266,687,991,909,613,573,870,284,515,638,772,761,616,510,205,427,100,712,
013,767,261,454,399,820,050,288,246,060,311,520,872,729,981,026,682,987,845,
008,439,240,006,476,642,503,618,936,098,078,301,540,831,281,804,019,770,443,
372,208,990,297,545,086,828,364,826,305,117,751,173,000,314,949,662,920,363,
882,408,621,401,266,686,616,928,924,402,297,132,881,753,475,961,913,600,743,
616,894,933,955,555,216,799,640,800,432,919,783,763,759,772,093,935,207,223,
206,691,179,744,439,731,690,362,172,117,880,051,808,760,848,920,265,553,763,
931,693,794,844,324,072,972,341,859,993,298,459,309,535,765,574,574,019,030,
324,380,484,918,853,594,299,221,713,615,947,763,753,826,149,721,538,000,229,
340,798,442,516,996,317,034,024,758,090,879,074,784,618,257,264,566,598,345,
625,868,258,849,108,253,964,793,340,834,098,803,463,100,226,796,742,773,972,
960,134,487,973,427,614,863,458,072,750,712,156,629,815,726,950,600,870,889,
376,662,301,484,486,246,546,995,699,224,169,272,267,989,517,743,109,410,526,
355,829,883,959,524,649,776,522,634,234,223,318,980,787,559,904,357,224,320,
942,508,667,040,476,991,940,908,962,819,854,906,877,002,055,241,601,214,972,
706,263,820,278,822,801,993,344,357,880,495,546,196,263,125,772,218,158,855,
665,109,032,950,960,676,965,204,869,429,856,579,076,400,349,405,227,598,307,
712,505,516,297,971,642,919,233,559,846,259,358,342,797,933,864,533,440,098,
552,099,148,656,934,637,650,334,742,494,790,023,698,897,095,169,378,888,881,
307,314,014,421,231,300,815,692,059,647,623,179,522,799,848,206,055,657,925,
052,653,436,035,333,626,534,131,140,788,247,248,521,508,147,698,398,783,180,
666,653,467,914,173,143,644,885,051,742,415,197,238,146,648,207,899,694,165,
511,616,626,098,917,122,096,579,400,902,103,468,758,050,229,428,810,270,979,
448,182,611,108,265,815,451,083,758,396,586,813,970,296,532,461,668,499,491,
265,104,432,895,014,981,383,401,811,997,614,266,477,955,661,199,490,855,402,
924,758,346,897,401,435,245,128,679,599,668,238,539,934,884,841,605,464,796,
005,652,489,544,790,762,313,687,016,816,219,499,383,288,433,443,227,308,362,
936,425,018,310,339,796,238,388,238,034,405,856,403,413,810,292,387,452,587,
942,208,640,847,428,422,894,585,254,658,219,325,498,992,288,121,445,179,553,
145,047,386,926,050,120,423,296,072,540,492,518,337,931,628,086,602,989,274,
262,015,563,934,343,026,758,986,314,100,515,961,139,431,057,815,011,327,740,
352,043,670,580,898,987,581,911,081,684,227,906,265,574,742,360,960,638,201,
552,456,311,318,703,513,700,442,713,804,841,849,708,527,779,966,692,753,068,
856,097,777,354,962,392,288,930,646,165,478,136,753,220,078,676,340,151,345,
581,357,758,791,473,109,120,649,295,881,990,708,523,578,746,935,594,802,195,
222,859,501,237,217,331,293,096,723,198,689,306,315,704,264,042,831,143,310,
544,800,636,077,494,586,429,489,614,912,534,154,013,791,147,626,229,229,990,
041,259,415,325,734,269,602,894,856,712,605,557,679,759,704,683,680,410,839,
039,490,044,695,733,673,299,277,022,901,280,817,112,285,082,900,203,904,715,
582,293,403,726,691,737,775,524,601,091,615,744,823,498,372,074,962,768,352,
489,073,886,543,103,358,999,113,653,072,730,928,822,025,527,748,592,640,001,
229,261,385,028,462,680,183,906,543,360,244,332,708,520,400,776,063,566,141,
537,080,040,315,177,344,210,043,317,275,571,299,997,858,897,743,519,326,238,
731,686,554,220,260,297,817,895,030,777,809,149,411,796,452,478,726,320,185,
129,291,315,121,757,873,551,920,585,557,632,293,302,032,179,503,067,282,262,
974,909,416,892,670,159,136,299,312,455,105,712,846,499,896,352,135,468,926,
485,953,498,086,814,923,139,758,833,856,475,323,077,737,036,364,117,984,391,
839,493,724,317,507,825,424,111,164,426,410,923,363,262,596,192,055,298,086,
301,914,852,047,347,823,111,275,627,167,356,681,564,236,623,627,906,690,953,
848,305,133,182,173,738,522,641,472,517,767,804,858,112,609,222,287,551,843,
539,978,245,718,046,566,573,783,922,338,055,948,079,510,784,173,322,405,973,
332,125,255,283,359,245,973,809,127,249,264,060,292,834,449,269,594,978,602,
799,423,987,519,507,603,562,196,564,624,475,845,253,430,049,425,239,196,282,
443,849,783,485,264,011,968,027,764,698,952,041,031,320,426,034,837,201,637,
593,440,873,348,423,196,202,706,061,958,985,612,080,084,607,442,976,448,457,
804,523,516,271,306,271,546,309,297,517,476,505,615,521,101,296,327,223,112,
347,712,532,438,794,418,169,067,039,081,522,632,232,074,034,816,742,546,715,
591,459,228,724,156,897,216,632,161,863,606,309,086,873,013,856,454,421,554,
627,283,403,597,284,539,782,906,247,866,630,503,238,309,803,371,541,973,433,
046,903,512,552,922,567,516,306,552,230,731,503,334,613,318,718,620,642,312,
509,108,708,094,030,207,883,734,210,157,866,623,423,721,363,399,468,845,387,
815,429,999,382,233,723,298,969,467,408,914,527,584,990,397,765,464,870,781,
469,231,574,899,434,514,361,765,074,399,555,998,036,267,630,325,334,363,357,
039,827,898,455,044,925,644,259,606,135,611,527,050,967,682,164,716,510,401,
055,765,206,748,810,696,769,506,356,644,303,760,306,610,282,648,785,533,137,
063,181,321,732,791,215,139,290,636,312,913,876,417,437,420,540,820,528,158,
759,442,193,318,251,441,537,854,925,123,593,664,835,921,894,206,546,849,509,
668,887,945,428,643,616,534,989,663,816,760,849,647,417,355,458,015,994,563,
851,057,671,472,387,670,600,731,952,214,401,655,699,296,834,843,723,406,478,
924,791,931,666,141,867,510,323,316,876,281,175,900,015,497,295,630,186,294,
766,049,265,176,393,359,046,757,592,841,694,278,684,136,937,430,750,977,535,
624,928,087,723,814,805,942,377,270,418,623,641,519,316,155,633,958,147,117,
025,382,280,297,243,811,599,317,271,322,525,563,888,618,938,686,807,596,053,
209,226,933,557,230,075,584,110,817,179,630,870,916,405,557,073,566,655,455,
594,495,005,029,670,064,346,607,391,567,850,357,080,679,361,049,719,100,956,
004,602,000,600,927,875,248,847,373,933,888,288,110,880,880,154,095,335,130,
624,034,561,926,602,601,938,159,956,142,542,076,166,534,001,794,618,598,596,
405,754,158,711,137,245,910,774,085,588,257,634,739,090,232,045,978,017,503,
957,071,782,457,738,222,540,876,735,631,065,319,812,130,876,583,562,410,403,
323,364,069,422,717,773,179,762,767,343,123,047,841,632,053,470,956,931,320,
400,992,005,160,823,532,138,018,155,185,173,277,157,147,020,509,650,889,030,
324,576,802,176,781,823,002,191,147,493,357,800,210,585,160,854,525,610,649,
996,768,556,653,199,081,333,645,904,527,321,224,695,781,843,575,316,970,667,
883,399,823,114,524,071,092,287,800,852,916,810,956,312,875,621,452,731,576,
918,895,404,590,424,087,186,453,127,573,343,863,638,370,130,282,151,712,438,
770,038,588,286,154,041,728,919,356,652,112,379,195,208,135,757,803,232,288,
026,540,449,153,404,062,505,630,115,038,088,152,137,845,631,305,192,740,619,
075,510,138,766,033,576,739,970,606,654,954,122,527,031,238,113,104,896,845,
473,273,323,274,417,133,983,246,234,591,651,588,241,304,166,247,412,350,182,
186,755,491,303,504,066,749,195,358,894,012,226,718,867,739,736,166,835,942,
609,034,658,468,979,180,962,269,844,801,002,173,954,975,480,326,869,685,766,
526,086,986,085,077,338,410,896,944,788,307,125,823,713,344,128,165,468,859,
969,343,744,443,972,947,968,338,926,604,473,457,840,043,060,978,221,251,102,
646,834,887,558,832,763,199,368,053,720,231,630,970,910,205,202,498,608,157,
541,852,268,272,254,419,006,670,864,838,446,312,463,250,480,014,934,467,898,
252,138,810,189,931,206,948,568,297,334,879,138,714,546,082,631,920,444,022,
901,829,671,019,485,631,530,525,137,717,644,919,388,210,879,151,900,295,424,
086,202,950,754,611,569,232,504,403,195,204,394,215,604,828,725,349,665,294,
200,903,975,997,535,327,510,240,747,585,518,212,094,400,924,645,869,422,496,
322,255,358,442,822,196,151,740,140,567,007,268,999,299,248,419,203,410,605,
839,337,209,882,541,389,945,076,387,330,743,418,676,849,176,327,930,563,525,
122,982,625,277,172,160,244,123,848,089,874,268,540,743,545,037,962,730,613,
548,014,262,419,381,227,291,749,097,038,107,131,357,374,011,914,776,015,284,
852,289,827,759,454,513,821,955,786,926,529,902,051,084,112,994,379,624,372,
050,215,441,608,995,958,564,001,745,265,425,242,868,263,011,910,747,067,633,
137,668,940,436,253,062,243,578,169,388,479,586,182,689,815,259,852,200,512,
172,943,843,523,051,391,368,208,363,393,881,565,007,585,215,052,098,104,690,
128,457,895,146,021,292,698,793,761,017,488,733,786,050,774,890,845,435,462,
034,816,638,500,510,453,928,629,770,325,616,727,645,355,266,255,827,126,785,
728,729,987,024,750,930,050,542,708,541,447,093,985,096,632,128,869,611,343,
915,090,364,309,507,856,199,215,697,236,612,121,388,341,389,287,515,631,275,
881,041,609,419,825,067,526,817,546,925,892,719,584,909,051,240,963,019,716,
400,471,063,159,883,400,790,373,985,987,738,846,973,350,565,981,280,284,700,
778,593,881,920,695,864,447,009,085,096,101,153,340,407,148,386,220,779,773,
458,017,829,524,515,596,257,133,166,680,217,433,335,450,088,300,902,403,179,
662,651,734,056,577,366,574,757,875,000,575,060,517,195,385,559,555,170,019,
714,228,026,272,093,827,645,899,250,541,937,796,958,924,544,235,415,720,790,
221,462,851,120,250,733,704,860,679,596,521,484,384,517,721,543,522,634,293,
017,939,241,993,295,575,407,219,766,818,671,889,690,542,970,148,357,306,542,
644,469,991,339,656,133,540,856,379,337,101,389,340,594,625,786,716,271,994,
284,010,592,780,288,191,975,320,001,913,765,490,864,173,303,469,089,328,740,
626,067,382,813,574,333,107,002,726,396,248,521,250,825,850,819,589,649,844,
259,386,281,769,007,494,412,954,090,839,737,963,121,028,206,762,592,768,267,
429,768,882,507,183,286,118,558,975,938,927,799,508,669,706,897,633,764,803,
143,748,276,224,751,883,232,601,810,144,697,861,819,648,940,144,886,591,298,
479,387,192,755,358,282,181,353,469,141,178,239,880,408,739,988,088,348,283,
612,457,739,027,045,338,871,944,365,682,204,526,347,953,664,072,003,830,301,
973,849,569,804,088,032,141,457,996,690,691,847,546,451,661,347,677,936,305,
932,685,043,290,656,467,890,449,518,051,087,521,739,272,652,855,892,276,922,
133,666,963,214,405,695,719,874,055,029,001,805,603,565,738,822,884,964,581,
220,088,148,320,234,873,853,433,177,343,461,664,797,237,896,100,237,193,013,
544,877,764,288,254,599,663,367,867,670,172,761,298,455,060,889,085,216,671,
527,538,462,592,219,409,425,000,794,102,349,903,216,918,226,681,337,460,970,
568,790,701,062,451,551,775,140,139,093,619,276,060,792,933,345,150,711,031,
764,869,737,564,638,317,417,729,345,136,716,584,623,468,915,645,003,561,414,
658,852,863,257,295,566,437,068,062,056,532,178,075,402,302,728,068,985,905,
778,372,682,040,018,000,294,936,135,080,466,373,582,668,310,122,071,874,626,
167,426,482,732,905,993,276,020,877,139,841,331,100,179,913,088,482,478,559,
465,575,564,857,744,771,701,888,646,264,784,485,731,276,192,784,894,046,582,
146,353,902,473,896,157,696,510,445,586,797,907,632,980,298,364,157,403,847,
337,996,285,115,972,862,666,378,099,816,573,864,497,815,356,660,400,451,949,
314,667,923,994,741,385,943,652,793,167,007,296,154,733,686,844,286,218,722,
150,156,783,124,848,331,214,984,701,032,083,312,202,006,694,058,835,483,986,
868,347,734,338,130,206,605,038,638,521,787,449,062,180,555,600,314,132,696,
352,630,455,239,676,232,021,208,639,266,878,597,824,453,639,999,976,941,141,
231,220,836,491,025,876,182,763,899,344,453,981,750,263,544,580,039,014,610,
860,484,467,743,209,343,068,996,977,886,896,877,962,126,794,539,514,840,665,
642,152,225,840,612,530,431,286,799,686,955,688,698,459,446,493,575,135,895,
294,606,587,260,105,982,437,239,775,451,437,449,354,874,605,417,121,838,421,
121,380,304,553,506,699,105,977,878,162,200,325,387,402,949,470,325,169,945,
060,906,161,457,912,778,202,988,402,206,026,223,402,448,120,139,076,752,623,
277,992,814,692,690,884,624,119,551,779,986,249,907,981,734,925,836,911,005,
741,284,794,804,078,152,293,817,790,672,688,294,345,611,464,101,191,172,054,
511,029,561,759,611,032,677,279,140,881,639,008,838,328,344,828,995,175,890,
254,376,110,105,234,350,158,143,356,712,050,278,420,268,548,963,006,852,350,
802,810,649,573,156,184,752,648,156,403,079,792,073,133,079,006,815,090,230,
670,231,885,540,424,505,703,982,154,090,394,741,399,319,038,581,229,451,540,
704,467,704,606,510,568,116,827,697,761,470,420,483,488,486,176,559,727,078,
393,638,941,204,966,206,433,387,881,894,151,892,118,069,476,993,264,921,896,
178,297,617,381,362,376,528,847,249,396,225,803,749,547,776,526,623,649,857,
775,427,804,642,552,312,040,530,673,285,340,601,894,251,881,484,216,281,612,
186,829,072,822,998,617,704,397,365,670,739,750,551,513,408,045,831,382,598,
013,258,821,258,754,007,241,942,867,911,988,396,227,206,303,973,307,200,828,
094,830,699,562,542,598,225,401,839,357,923,493,136,389,060,639,048,270,406,
619,156,801,332,011,762,925,730,944,395,925,458,912,701,578,267,389,489,419,
628,005,188,041,752,248,920,695,290,144,470,521,210,502,136,703,659,806,485,
234,134,388,181,370,037,990,801,507,279,300,431,163,278,463,768,129,456,418,
680,828,063,662,821,641,005,328,602,284,998,712,506,918,211,291,921,687,742,
069,247,048,372,302,528,258,101,743,307,338,362,016,948,572,597,784,702,522,
499,218,318,717,490,037,762,452,794,213,426,341,216,309,616,264,956,429,786,
987,235,643,242,196,654,385,450,324,683,808,914,466,142,193,930,618,162,485,
311,849,384,891,174,967,868,989,179,493,150,389,349,554,033,642,422,196,624,
774,076,650,200,055,784,282,591,554,520,478,874,392,378,793,006,791,716,177,
206,807,199,560,661,120,651,604,393,879,176,994,124,863,451,890,974,801,022,
056,038,798,116,563,995,274,963,979,732,512,915,053,684,617,720,369,623,151,
332,928,573,523,620,393,677,891,622,295,515,001,621,084,881,002,647,176,868,
550,933,095,739,698,773,039,522,129,274,726,670,337,188,659,015,203,598,099,
478,882,824,757,027,786,038,296,197,633,927,501,281,873,867,129,620,017,652,
887,912,193,691,928,512,049,037,218,789,516,076,216,350,976,493,544,186,689,
042,380,881,832,429,046,772,065,307,336,282,692,780,178,632,931,143,922,269,
915,767,826,668,687,556,503,175,310,574,791,856,286,163,424,357,492,974,561,
796,250,154,252,696,355,576,550,993,440,394,496,894,982,526,268,646,576,918,
354,603,030,193,844,949,078,805,295,666,841,807,687,294,688,600,065,019,909,
335,287,213,208,507,694,482,486,148,152,879,573,344,814,602,502,102,774,259,
082,306,479,537,617,898,657,155,419,514,130,802,384,811,529,081,312,198,811,
510,868,835,119,510,069,346,084,956,065,948,446,515,650,218,670,551,993,337,
592,856,372,545,465,629,539,511,417,453,083,144,647,086,870,308,666,815,119,
777,632,453,008,946,449,135,606,722,644,587,151,308,216,143,532,068,533,522,
879,308,933,954,036,653,705,192,952,630,428,251,296,046,230,011,769,145,326,
763,179,690,043,116,409,035,847,180,954,057,095,782,630,449,067,976,671,065,
337,027,802,007,864,270,858,286,345,137,013,683,154,954,896,319,117,416,802,
790,851,809,348,749,388,358,565,440,237,635,450,375,924,688,554,330,537,108,
863,278,793,736,109,033,810,096,355,581,618,682,834,678,740,594,229,512,823,
706,809,507,991,790,743,858,143,721,837,692,971,797,030,618,891,160,711,442,
943,954,486,522,166,660,631,511,464,482,511,695,810,372,031,035,720,424,457,
807,497,185,093,283,569,398,649,324,658,817,802,577,788,008,444,581,703,464,
070,618,670,831,053,656,133,343,147,345,174,614,751,925,685,286,280,890,481,
594,040,766,406,861,714,747,159,567,313,348,267,051,078,056,469,472,430,375,
514,185,666,697,515,666,571,254,815,358,486,745,971,355,112,341,883,527,743,
527,603,106,833,630,060,504,832,611,880,861,817,380,657,219,636,073,758,863,
141,123,270,192,353,237,001,526,845,155,948,339,015,682,761,917,556,193,491,
224,253,742,579,177,371,513,973,387,050,247,005,279,310,915,500,031,584,231,
516,223,151,749,340,404,313,115,811,475,256,039,098,857,204,653,214,082,287,
011,013,961,906,594,774,854,974,836,391,570,627,709,446,447,912,679,445,450,
122,921,340,684,206,968,898,203,879,367,915,714,212,976,767,687,183,971,191,
360,626,562,510,513,244,953,451,156,584,315,045,853,538,145,374,901,145,833,
871,260,776,375,136,477,948,665,236,118,501,297,316,887,357,922,912,867,126,
686,250,343,199,172,798,785,882,245,071,866,868,361,960,891,206,132,652,012,
962,626,350,729,860,299,761,725,608,989,762,863,110,309,200,070,186,380,795,
974,775,814,075,940,815,628,839,169,803,076,833,311,694,056,678,150,877,602,
310,306,083,953,339,319,868,177,241,114,682,547,815,558,628,064,470,822,653,
192,527,223,384,277,515,072,108,105,032,410,110,347,762,685,196,255,490,751,
287,351,770,971,343,922,215,741,161,286,713,162,761,662,764,071,358,624,011,
104,918,444,704,422,999,520,112,418,863,833,577,955,751,702,429,187,379,004,
530,534,415,888,626,442,855,454,178,447,817,048,750,844,738,530,111,965,196,
073,594,237,195,136,901,777,894,103,951,980,802,099,598,940,868,884,932,078,
234,943,629,358,554,623,081,885,885,960,649,165,238,337,756,180,658,476,339,
586,200,117,346,983,875,295,492,723,817,628,861,910,856,245,032,612,897,848,
257,344,951,782,436,923,000,066,167,957,020,940,386,857,521,618,551,022,050,
972,441,826,290,031,633,695,292,100,642,699,690,429,171,543,028,267,490,016,
580,504,244,742,537,281,005,613,531,667,271,235,985,998,697,299,060,428,026,
662,407,567,219,229,747,946,604,095,208,063,658,780,583,583,616,117,931,063,
221,196,639,915,210,678,747,393,017,816,234,843,405,394,734,316,853,017,634,
601,975,899,344,863,200,165,479,757,516,896,746,820,610,841,640,498,837,799,
482,147,727,179,804,241,230,930,690,036,809,392,051,668,916,057,743,470,773,
370,760,778,724,451,077,207,557,503,697,152,405,533,918,508,611,765,509,453,
267,246,787,337,526,214,262,172,242,494,697,572,379,523,652,087,749,782,490,
891,788,570,868,790,049,118,198,411,186,192,849,656,216,886,123,714,516,243,
028,355,319,109,251,857,329,603,559,163,426,081,038,413,506,157,951,819,047,
261,470,462,422,023,842,378,689,926,495,429,053,771,225,402,663,394,218,810,
525,042,426,646,251,909,648,644,607,890,489,797,483,435,756,313,838,725,304,
415,798,079,467,703,941,968,238,503,691,398,310,754,020,070,859,870,743,968,
004,424,166,509,269,478,963,699,224,817,418,190,635,647,951,170,594,720,836,
873,441,184,508,700,493,947,987,584,411,665,982,777,862,573,786,902,991,436,
268,039,058,610,164,131,681,099,191,050,430,269,950,465,726,464,343,816,964,
051,873,152,782,704,797,244,542,267,969,670,065,602,187,825,088,678,797,451,
178,136,843,175,386,971,927,674,466,825,784,017,130,253,423,225,863,299,430,
903,006,428,673,530,342,776,869,408,997,151,837,317,494,210,723,479,162,598,
857,002,314,825,293,616,743,645,344,296,254,399,892,824,944,927,724,372,998,
036,666,034,123,257,671,185,063,295,183,566,857,610,468,598,720,293,554,716,
438,139,511,750,549,807,032,537,906,085,429,901,419,147,349,400,221,495,114,
268,954,170,266,231,647,136,039,348,751,989,808,404,659,605,407,197,496,267,
445,554,590,757,063,703,838,881,199,158,193,565,348,512,082,445,679,745,975,
579,261,091,215,264,280,157,855,157,374,921,171,897,956,282,050,101,197,641,
795,665,565,987,889,450,979,629,801,994,180,801,904,363,608,279,318,150,950,
156,236,490,109,740,819,535,470,285,216,504,074,083,664,302,485,441,573,442,
720,409,924,613,094,092,381,477,360,536,946,250,956,221,857,959,335,598,356,
661,077,910,743,551,646,846,708,512,196,611,653,432,240,289,898,767,458,719,
090,333,972,118,381,606,635,345,329,215,314,222,866,109,095,569,298,825,871,
162,407,029,348,843,094,046,720,988,902,617,652,246,980,227,946,134,367,385,
362,611,668,917,409,119,681,029,969,348,564,505,153,286,211,434,421,603,987,
310,460,040,465,829,610,056,095,974,307,842,498,924,804,275,234,228,837,318,
019,568,745,978,419,275,477,798,141,388,573,972,693,229,442,745,817,958,935,
691,755,671,630,826,092,716,820,751,959,639,809,522,379,802,613,367,052,558,
243,497,105,644,319,679,707,121,050,621,806,898,200,268,945,335,069,565,667,
658,151,032,528,377,240,454,938,606,569,600,621,403,543,453,460,765,137,916,
201,528,717,692,669,587,313,461,325,748,395,875,311,903,657,158,095,286,891,
357,571,079,374,062,060,248,811,797,293,350,694,732,318,352,215,287,434,883,
146,543,160,996,879,875,159,423,379,796,356,130,431,354,765,126,433,596,856,
809,069,393,324,168,603,828,360,960,302,919,482,946,358,100,348,736,484,657,
719,503,015,579,823,495,931,510,943,437,056,174,869,607,283,831,195,670,715,
045,516,728,819,533,947,304,903,638,571,124,711,451,107,961,661,004,917,716,
163,005,747,922,145,643,291,548,391,174,840,795,295,801,663,903,159,625,138,
743,957,744,722,462,627,834,416,111,959,830,582,682,942,053,695,730,260,366,
659,514,473,873,803,892,521,864,640,201,146,567,795,556,957,267,870,369,199,
616,874,770,276,697,045,600,355,324,335,440,455,789,409,432,015,183,546,110,
792,505,839,479,403,150,102,808,177,017,212,165,699,668,265,264,032,035,911,
318,122,896,983,443,231,327,811,463,975,621,813,591,222,602,377,787,441,447,
592,804,205,420,673,170,056,696,795,406,263,368,675,098,646,947,394,204,820,
923,145,204,856,413,155,796,562,986,666,201,940,504,275,345,631,002,303,273,
546,866,308,745,570,374,281,069,331,546,205,520,736,213,545,379,704,968,381,
744,386,414,729,711,009,820,788,950,120,632,472,818,540,018,119,441,038,535,
669,040,888,400,719,626,540,240,524,955,247,299,203,892,418,499,910,502,640,
550,133,638,335,493,415,172,068,163,713,884,256,725,857,297,966,982,650,058,
478,441,228,796,686,387,810,862,847,159,120,661,289,301,129,078,349,998,448,
173,305,142,623,368,998,695,702,759,546,916,920,187,517,045,594,520,369,972,
225,595,865,415,780,061,356,384,094,442,402,557,085,613,610,718,906,682,139,
938,181,625,975,986,623,821,864,233,350,372,705,854,897,278,100,250,284,644,
003,246,405,834,055,301,154,757,785,484,701,796,025,042,532,669,221,133,544,
820,717,637,589,305,949,020,089,898,107,979,113,852,381,182,046,512,262,675,
022,863,657,972,776,655,366,599,308,349,498,268,816,938,550,992,096,864,953,
812,646,202,901,478,932,155,098,506,534,162,241,647,990,101,551,366,080,325,
521,976,597,098,779,733,374,659,379,422,075,216,774,780,742,767,015,513,413,
886,782,014,158,630,201,814,712,045,118,948,711,246,312,332,192,817,467,410,
321,523,593,402,015,380,020,981,737,110,747,323,581,748,506,259,788,882,436,
354,658,150,726,608,951,332,363,696,520,033,632,337,484,325,087,458,561,632,
924,623,466,621,608,871,700,328,270,523,278,401,904,490,073,226,588,982,321,
580,985,844,262,643,192,318,044,829,479,804,036,116,523,860,006,290,458,835,
282,329,970,022,536,685,257,871,910,516,614,734,760,827,231,571,909,256,731,
139,617,868,761,924,730,973,099,585,637,188,316,841,878,498,066,725,771,412,
016,801,131,277,406,785,007,341,676,869,053,682,619,865,720,104,720,656,183,
639,834,150,771,917,827,404,618,862,170,142,376,996,163,433,481,830,311,039,
696,025,888,781,268,574,029,831,697,694,633,879,377,570,938,566,381,134,948,
149,158,084,779,148,718,421,902,067,669,850,541,720,636,292,326,347,590,959,
060,359,108,496,216,321,415,232,880,338,661,834,352,024,420,016,612,903,040,
614,138,495,728,863,511,879,861,937,975,463,942,588,084,810,037,710,589,737,
361,619,822,609,909,573,307,159,606,657,420,656,013,154,179,998,715,940,509,
011,450,955,326,834,588,677,894,488,186,811,203,334,682,450,812,194,417,936,
694,461,486,761,290,808,708,746,611,736,145,120,963,690,253,099,423,496,202,
735,588,688,462,494,928,156,684,512,296,657,413,375,921,850,826,722,289,130,
731,000,726,816,850,192,722,221,029,934,285,264,005,756,780,095,988,340,944,
807,885,392,218,860,461,870,222,861,788,103,809,584,749,519,370,083,383,053,
222,424,895,463,468,454,478,879,417,264,957,305,276,381,325,198,376,117,986,
418,644,025,028,985,271,090,603,707,744,427,157,610,484,314,594,264,669,559,
320,600,502,293,418,257,002,973,493,969,389,179,677,021,619,641,953,398,891,
594,694,152,244,184,706,665,723,639,550,281,312,854,129,332,238,542,468,348,
409,561,774,256,934,850,582,198,174,877,499,403,600,486,024,772,122,162,823,
222,236,760,930,510,860,677,726,463,214,806,432,150,331,918,061,681,197,987,
559,280,127,293,565,321,426,101,744,178,787,734,036,355,073,374,442,129,673,
074,307,402,530,555,840,543,501,366,388,307,072,325,088,380,535,431,086,781,
655,319,869,923,489,921,162,957,583,685,462,489,309,561,171,406,797,573,481,
857,849,878,771,566,201,064,942,669,164,916,565,216,170,331,415,028,737,550,
823,156,240,274,631,313,559,218,531,608,999,125,594,981,391,450,806,451,010,
871,846,807,427,125,532,747,063,777,091,710,751,055,800,913,301,627,801,222,
617,777,313,923,480,120,218,880,362,817,937,694,679,722,944,498,542,190,408,
170,837,123,415,427,364,532,847,055,465,791,989,657,995,815,183,646,602,668,
361,468,282,358,712,481,847,089,862,495,492,110,853,832,684,447,208,727,823,
725,386,750,074,462,892,527,380,502,940,226,993,992,826,190,109,603,196,201,
516,331,745,814,636,258,347,963,990,305,113,866,526,479,396,549,421,568,350,
645,284,287,363,211,865,745,013,735,754,116,173,177,016,263,485,924,241,505,
544,083,831,013,926,052,725,992,050,157,272,896,125,170,604,224,542,658,102,
037,247,754,632,347,847,351,740,121,456,272,950,186,418,613,554,041,554,094,
337,492,731,453,763,069,781,759,805,376,673,819,669,479,231,826,098,321,389,
938,720,448,449,200,719,063,271,377,770,587,194,172,686,539,625,783,453,696,
357,545,684,330,557,905,797,870,519,768,053,715,325,113,173,878,625,079,874,
657,659,740,160,575,014,232,513,086,166,807,557,306,246,899,127,758,227,951,
063,380,481,203,926,668,420,764,168,440,799,297,112,300,428,487,725,376,223,
466,024,459,150,293,977,216,681,430,683,759,584,571,457,466,609,997,329,568,
113,414,655,099,260,121,511,406,359,845,882,238,605,096,079,134,478,562,146,
734,117,249,759,785,304,280,522,579,261,122,683,248,990,643,840,144,738,421,
087,755,932,709,938,175,907,129,446,685,711,932,432,596,039,901,708,978,822,
053,711,408,926,218,254,326,848,224,169,133,625,596,980,110,932,959,742,201,
455,244,245,820,094,229,790,072,153,145,531,654,639,532,497,104,847,889,712,
096,133,658,013,483,629,216,804,277,222,356,736,367,869,295,509,451,072,011,
253,234,842,638,909,687,862,207,863,498,507,115,930,012,266,152,303,111,060,
391,683,741,624,444,912,594,283,483,670,490,340,712,025,307,746,637,191,776,
993,506,050,496,545,273,746,228,527,755,584,226,393,360,439,116,233,615,428,
683,308,394,757,848,003,981,709,115,299,387,854,268,501,379,926,626,475,558,
116,018,857,645,933,872,032,425,024,115,136,279,495,038,840,083,510,612,858,
389,270,482,680,246,456,660,363,774,402,371,712,153,200,985,312,387,183,073,
927,546,063,638,723,645,496,458,324,402,303,673,755,530,453,946,411,722,075,
000,327,117,206,940,855,435,557,444,772,791,817,355,863,806,438,154,032,518,
053,120,150,711,164,083,140,560,486,593,957,145,139,935,574,472,930,555,211,
034,052,656,158,764,530,656,921,092,765,676,293,914,355,922,086,715,351,215,
028,959,275,514,309,100,787,504,745,076,958,009,574,233,158,496,503,311,060,
939,663,657,979,488,808,959,379,350,111,061,438,612,618,143,642,827,708,006,
599,497,203,562,102,811,692,949,186,789,342,397,954,980,357,596,527,813,898,
327,626,106,859,488,249,335,671,630,794,315,448,022,442,838,478,093,212,349,
546,968,982,159,679,767,663,916,759,013,132,921,563,896,994,960,917,897,456,
031,046,910,527,412,745,352,174,718,589,315,818,809,524,175,279,508,293,922,
200,949,413,278,777,989,674,434,854,379,207,479,135,601,560,117,472,865,398,
496,511,217,869,841,106,165,703,363,172,018,316,715,533,558,724,188,813,008,
187,792,320,909,286,905,982,752,249,195,350,475,824,017,663,572,790,840,245,
709,304,141,027,634,224,388,897,171,072,588,925,375,303,205,378,345,303,347,
406,429,636,714,063,496,906,078,841,016,235,149,550,407,689,447,702,948,525,
941,757,410,708,493,886,315,857,193,854,281,972,623,032,786,558,467,035,435,
413,404,160,728,703,878,129,369,242,399,586,422,962,353,142,837,006,784,931,
930,994,194,801,200,248,948,074,824,059,938,959,620,184,354,327,962,713,836,
710,880,799,459,100,988,868,671,464,403,543,902,005,760,426,459,569,854,595,
662,294,115,441,655,356,748,694,454,455,268,187,510,493,065,319,986,485,396,
589,840,943,315,433,056,137,361,590,788,964,080,609,822,034,894,881,850,542,
809,795,181,413,397,076,993,872,903,699,586,961,642,257,963,501,850,034,727,
547,913,147,516,227,372,406,300,469,072,591,829,983,699,735,474,580,237,204,
072,105,919,466,944,395,746,842,510,610,633,664,969,683,102,848,590,441,214,
802,199,047,286,451,097,003,000,251,364,900,614,102,185,855,441,541,732,833,
391,940,239,491,144,129,116,090,538,595,683,306,646,501,531,496,580,361,040,
486,601,373,737,485,357,624,035,928,149,996,035,237,286,957,733,756,296,345,
364,392,990,956,678,079,571,290,064,748,012,871,779,491,637,463,431,381,150,
748,308,675,417,398,529,530,869,936,339,979,282,883,965,901,237,046,258,396,
184,101,714,105,962,805,998,627,819,483,851,523,835,350,049,070,885,464,426,
411,895,242,727,892,550,757,116,036,674,028,729,486,395,299,006,104,282,943,
949,549,438,360,046,436,354,975,364,128,511,022,560,512,227,940,658,273,776,
460,583,810,827,396,481,365,231,189,490,388,109,137,246,327,995,031,982,694,
802,463,802,182,237,943,383,660,293,227,013,884,225,566,260,812,709,901,283,
208,146,577,040,354,326,896,252,078,478,897,005,908,966,825,875,618,843,225,
331,935,818,623,173,139,039,582,472,500,928,414,885,003,481,636,829,238,065,
772,155,747,386,412,959,839,472,672,993,096,278,144,257,496,987,239,248,163,
725,455,259,022,542,154,821,523,746,806,499,678,303,749,626,637,632,087,874,
355,335,084,656,304,785,447,872,707,053,935,666,721,208,285,410,413,018,852,
184,912,699,855,396,906,019,857,273,694,841,098,259,010,555,352,928,573,392,
844,952,232,991,301,369,877,276,145,158,862,449,440,679,234,080,483,643,991,
079,384,872,129,331,166,381,891,764,900,079,834,110,703,838,495,655,855,540,
974,269,559,430,745,292,322,828,063,179,183,153,385,620,106,843,136,685,264,
896,557,107,306,865,104,591,544,463,650,909,218,636,854,156,049,973,743,600,
528,117,982,369,082,267,716,774,736,256,253,063,705,678,717,445,046,956,364,
080,187,928,117,258,083,878,021,686,431,753,815,787,854,800,736,742,173,331,
989,719,598,512,276,299,295,683,607,600,399,471,183,234,408,033,858,741,485,
972,604,723,504,513,005,182,826,575,778,451,315,518,890,122,544,873,267,361,
226,325,048,311,429,139,855,497,641,227,141,956,664,806,282,680,590,991,650,
966,017,696,633,303,937,429,410,227,168,431,089,513,555,919,806,589,757,970,
710,848,415,296,086,551,104,714,072,763,079,982,150,215,666,167,047,376,295,
968,605,511,097,025,086,535,084,414,212,630,664,545,838,460,085,786,277,896,
307,153,695,571,819,105,067,727,432,257,168,443,748,444,583,749,571,175,668,
828,898,562,832,149,150,941,489,361,114,852,279,845,517,430,210,882,645,871,
812,535,543,398,223,014,330,445,551,903,216,255,139,782,531,268,351,167,550,
624,571,507,536,881,678,150,211,007,740,437,207,361,097,440,823,984,611,613,
185,378,341,429,614,198,498,243,218,991,366,014,957,540,967,023,518,983,648,
557,410,374,178,620,292,947,071,386,143,253,275,699,499,724,638,117,941,526,
406,446,521,385,832,710,337,350,121,103,668,712,793,984,513,103,085,385,945,
600,443,055,501,109,089,846,667,986,941,156,414,802,948,522,336,465,261,043,
295,524,725,014,399,257,601,067,585,853,187,166,606,128,722,151,335,032,076,
801,701,816,651,486,174,801,548,840,641,288,065,124,788,377,094,677,152,173,
613,046,494,894,309,263,372,445,172,769,817,310,264,099,375,805,674,129,111,
928,850,208,098,524,613,829,788,890,473,964,967,211,198,250,971,305,028,827,
168,161,317,983,053,215,123,734,842,482,799,864,712,134,375,065,765,929,930,
190,386,001,461,856,846,439,784,466,772,849,673,788,952,009,407,571,780,919,
588,638,769,874,205,563,280,325,500,795,228,982,995,608,878,081,586,506,615,
924,969,252,716,428,160,934,670,646,129,272,239,579,752,602,813,313,868,408,
542,191,634,722,347,379,515,365,134,158,925,033,998,637,424,945,343,252,365,
105,636,693,513,585,635,722,380,192,965,774,155,972,089,031,809,984,842,183,
945,874,117,352,230,366,563,026,687,929,390,478,069,531,505,755,064,624,886,
739,428,995,363,282,809,432,259,004,697,384,071,468,041,503,697,505,877,746,
516,519,166,899,704,524,949,261,294,523,861,582,151,057,118,852,851,217,624,
745,125,736,635,381,092,811,313,963,186,571,968,261,193,348,942,198,778,458,
412,056,878,452,452,660,018,148,616,956,520,866,683,931,821,816,842,958,877,
734,481,374,624,316,338,111,480,932,394,185,812,228,013,479,878,886,739,750,
611,748,488,126,030,908,417,342,925,120,427,792,492,100,876,013,122,902,474,
065,962,759,451,705,877,117,548,120,393,540,134,422,583,038,637,592,955,973,
723,551,355,161,974,963,487,504,094,111,400,626,127,358,661,682,312,877,263,
297,845,956,675,540,683,356,227,514,065,624,940,511,610,400,985,815,571,014,
335,633,820,949,808,295,268,205,800,764,834,221,045,182,621,332,846,081,859,
983,938,546,829,540,457,397,212,450,403,660,776,859,841,878,836,770,678,575,
285,671,011,522,211,775,489,623,873,011,211,694,794,348,425,839,604,583,870,
630,345,651,479,351,358,656,413,605,320,332,616,106,137,704,756,126,947,657,
813,431,122,255,923,854,877,990,845,509,308,270,273,627,297,712,609,968,216,
986,466,577,392,920,349,328,569,577,409,899,247,882,489,961,176,814,300,321,
368,427,528,355,160,510,231,619,754,930,089,651,268,634,211,346,054,076,629,
889,879,012,626,740,426,178,737,067,718,817,551,524,110,907,125,967,535,594,
781,221,306,251,135,354,525,208,081,538,036,110,165,243,396,502,661,549,614,
924,316,983,297,184,353,382,268,734,623,015,403,485,245,920,584,050,412,195,
753,043,351,229,576,339,193,411,914,501,666,430,661,485,615,903,207,953,249,
549,577,546,868,602,548,638,801,049,385,177,609,152,054,936,658,281,521,085,
546,640,467,709,017,971,399,403,977,840,998,741,062,283,702,275,464,345,032,
362,509,283,256,635,887,577,994,222,057,821,288,322,128,434,776,985,040,702,
034,003,449,097,990,133,818,210,468,271,588,965,080,333,805,791,465,000,115,
729,411,373,760,589,538,890,660,992,405,471,576,677,721,640,348,856,368,633,
936,849,902,057,211,403,304,890,876,525,178,083,919,583,096,252,689,955,544,
650,050,259,571,355,971,252,696,420,686,198,079,311,400,958,184,965,439,531,
661,888,777,765,990,640,382,420,278,919,532,713,255,742,823,860,076,888,386,
827,422,307,759,004,987,800,680,943,346,886,641,903,553,730,011,321,090,875,
077,043,219,351,710,137,762,173,876,887,402,036,748,167,703,082,003,552,323,
395,364,661,209,603,241,069,394,750,218,081,556,944,756,722,330,883,795,886,
874,822,333,432,943,468,481,094,467,200,001,368,099,121,665,043,611,637,664,
175,465,985,774,039,811,865,413,906,285,732,711,174,436,308,520,058,083,863,
818,219,010,823,173,088,123,088,782,903,299,413,736,365,176,170,007,369,185,
630,422,657,956,016,200,897,086,174,760,605,181,680,484,875,676,787,120,139,
384,065,890,370,718,556,495,758,176,489,061,969,824,674,402,996,388,932,225,
722,771,010,338,749,239,575,854,018,262,962,511,151,949,045,462,744,654,383,
762,247,098,516,259,470,385,828,796,828,861,134,025,503,048,073,503,121,719,
888,445,878,131,208,285,369,104,920,154,461,632,146,072,315,454,722,344,343,
640,023,875,081,716,161,895,880,130,928,631,930,415,685,234,645,757,120,618,
075,069,847,925,519,929,794,466,962,423,996,538,572,898,592,380,161,274,243,
339,060,284,276,474,942,597,136,689,659,325,907,212,075,984,526,628,538,386,
804,950,092,923,340,342,665,457,147,475,132,255,552,541,536,065,974,760,258,
678,505,128,081,675,332,134,709,219,741,244,163,910,709,466,742,969,858,635,
974,668,609,212,941,109,014,898,442,584,024,435,266,078,377,630,051,608,451,
780,604,117,229,409,698,893,587,312,490,068,999,039,738,863,975,245,639,001,
544,018,749,762,466,953,557,129,768,964,063,526,054,469,111,872,434,761,427,
946,860,984,364,876,103,819,355,041,050,619,115,888,314,879,582,138,415,608,
629,985,719,678,203,229,812,877,789,946,822,885,997,001,534,170,874,972,936,
043,545,133,822,033,128,042,625,912,463,097,438,652,549,993,549,473,446,983,
091,959,740,041,119,203,649,266,025,165,444,345,513,322,956,665,469,644,266,
610,311,211,791,569,911,757,331,030,675,807,698,322,804,156,751,875,000,406,
558,250,571,985,289,039,279,370,519,034,716,867,493,047,237,553,346,460,546,
972,805,541,572,469,774,219,954,660,668,223,668,018,177,864,783,189,661,631,
900,105,229,049,488,668,235,342,069,974,848,480,825,685,954,057,463,738,186,
163,645,885,821,200,532,089,537,622,574,835,394,013,755,823,027,791,661,600,
035,698,402,542,088,795,095,769,117,181,020,444,003,496,419,334,676,926,079,
930,684,736,774,955,628,295,181,766,361,181,592,539,955,500,968,710,771,647,
477,263,053,585,524,164,016,208,947,362,303,551,888,782,214,069,558,092,154,
752,174,885,706,942,239,629,828,877,714,590,432,586,453,480,588,664,230,033,
867,356,820,552,302,251,612,436,493,869,005,686,306,678,274,249,540,011,245,
643,990,709,053,926,277,103,692,256,396,385,816,966,799,370,583,789,700,543,
198,857,948,490,843,353,541,167,147,372,576,893,862,433,674,647,350,685,286,
655,543,169,716,302,219,114,916,425,418,752,568,081,570,843,132,245,907,848,
219,823,229,228,045,831,052,826,865,769,144,390,058,292,730,171,721,678,104,
459,514,432,811,907,878,251,811,788,177,540,922,217,204,990,022,662,648,204,
398,453,319,019,091,300,331,726,372,061,401,984,766,166,668,294,057,231,459,
089,317,930,350,280,492,736,686,058,789,702,106,175,533,830,942,646,199,569,
443,945,132,346,761,755,294,023,956,126,273,357,745,348,190,326,812,672,714,
969,505,144,606,449,179,481,871,721,358,260,652,418,880,058,709,423,403,437,
335,949,389,521,623,199,522,304,895,918,052,077,981,528,338,654,427,449,555,
349,179,605,918,850,646,828,616,813,660,617,027,915,883,769,878,787,482,750,
672,565,688,038,453,843,806,101,718,547,818,205,198,836,824,674,547,154,561,
928,346,768,830,390,069,499,839,181,618,514,409,097,861,605,481,443,024,318,
332,907,481,141,270,263,345,953,898,870,076,935,374,541,947,293,918,867,202,
601,580,440,745,627,977,254,389,086,661,036,319,433,567,793,438,042,947,691,
123,986,107,160,337,288,086,752,364,659,410,989,058,577,789,908,269,112,043,
594,012,965,512,168,594,024,201,005,521,932,607,440,411,691,978,866,806,306,
497,632,188,304,007,776,109,832,788,208,965,829,917,548,457,808,090,406,034,
695,066,442,709,564,239,699,944,076,268,931,036,295,514,478,380,895,941,530,
614,634,760,041,069,887,430,807,224,183,415,999,435,470,212,603,850,043,548,
596,406,334,770,804,407,770,161,274,228,115,654,300,592,832,152,319,174,556,
110,730,129,764,411,868,594,711,793,140,321,944,971,013,502,872,533,277,357,
444,542,851,336,171,787,329,648,904,425,828,028,391,996,069,629,628,685,837,
823,531,722,707,129,639,468,188,637,439,386,307,225,940,905,979,576,331,569,
137,126,641,452,471,600,210,161,885,840,213,562,362,855,822,389,683,216,599,
118,430,271,255,625,996,027,110,315,584,416,115,492,007,822,398,377,247,843,
426,039,963,785,709,630,569,865,182,368,848,139,881,219,868,039,782,427,795,
909,691,935,634,710,252,524,503,051,751,252,100,388,778,854,707,677,062,512,
110,980,223,877,737,155,692,055,589,424,127,179,548,453,153,804,363,644,077,
108,289,232,099,153,127,957,886,875,308,791,883,328,260,986,385,075,049,586,
096,378,963,655,232,237,062,980,107,822,608,689,596,543,796,185,284,595,017,
669,958,833,432,419,678,220,089,734,629,671,122,571,141,228,268,059,860,161,
393,786,898,601,087,478,259,785,730,022,651,373,772,427,075,437,662,051,311,
758,313,244,858,290,807,333,396,225,606,267,202,062,065,920,776,910,331,096,
134,625,551,192,501,474,460,048,785,201,798,860,457,093,165,158,611,878,497,
168,855,085,841,586,046,798,183,262,202,169,683,348,630,407,965,377,686,065,
005,160,412,787,580,514,236,858,847,705,243,635,183,135,217,824,726,139,302,
636,364,382,543,432,762,648,211,725,698,031,571,466,291,228,083,363,297,326,
794,271,186,394,341,887,007,817,694,350,914,451,187,415,474,647,575,028,029,
178,963,266,053,380,531,352,700,766,262,364,762,492,797,044,751,871,708,329,
567,037,796,585,444,043,361,353,881,715,455,611,361,440,307,343,751,632,528,
571,964,301,275,402,927,022,250,127,776,900,469,922,435,580,960,389,904,752,
141,782,054,897,754,281,045,314,726,168,486,541,431,761,085,672,572,369,172,
776,700,316,850,454,722,987,609,142,308,886,801,089,595,493,403,938,761,694,
047,076,112,906,398,900,781,188,104,548,131,200,260,244,582,582,996,637,556,
507,417,949,623,740,658,977,795,932,279,633,814,303,353,438,672,442,129,601,
486,555,513,370,469,409,130,419,453,343,382,173,389,405,808,127,633,777,793,
520,230,994,393,670,920,926,189,129,232,917,072,300,008,894,158,828,829,909,
777,589,386,281,066,277,501,679,656,233,690,522,913,018,314,081,145,336,414,
307,445,387,327,520,314,894,439,730,854,884,272,163,286,159,660,463,009,630,
827,732,336,160,283,711,517,889,115,786,801,189,724,177,763,971,309,432,761,
128,971,717,708,484,353,471,779,397,257,153,302,974,512,205,176,631,949,988,
261,563,939,123,813,911,736,305,830,993,003,740,226,561,100,312,746,089,632,
748,846,661,620,465,957,347,031,152,143,337,907,181,607,639,541,168,852,886,
072,490,351,168,940,336,628,570,458,567,213,778,151,451,702,435,967,239,210,
042,195,758,859,371,010,285,880,172,878,106,598,474,449,527,041,803,976,471,
738,144,249,850,826,826,970,633,793,300,790,823,025,353,188,200,104,173,917,
312,642,236,413,570,184,988,150,450,801,294,057,336,997,142,229,937,505,157,
300,659,438,366,076,820,224,053,253,416,802,617,852,039,440,758,577,120,433,
146,561,024,901,258,604,077,279,678,569,972,825,261,543,592,125,509,914,515,
480,576,285,996,186,589,192,517,841,738,763,515,189,260,384,313,849,155,841,
128,524,341,872,603,584,318,305,199,435,124,825,863,960,997,851,959,344,044,
814,362,391,142,927,199,600,908,411,103,547,774,467,516,129,945,953,056,056,
997,132,787,309,274,411,492,627,308,353,968,404,914,701,549,295,032,724,380,
739,859,112,099,767,044,548,727,789,459,438,730,510,063,954,667,938,448,176,
227,350,786,188,634,795,375,795,078,370,392,369,596,534,463,759,408,810,377,
835,082,667,423,592,249,003,463,499,087,355,672,063,646,583,417,675,315,423,
334,967,377,528,859,846,264,109,016,836,123,295,742,251,406,339,026,213,753,
889,706,433,415,877,611,544,111,110,065,895,621,100,580,740,099,057,552,432,
245,614,368,616,522,740,836,858,511,095,911,411,955,758,602,084,372,523,519,
332,593,743,740,345,552,188,350,993,493,782,115,660,290,115,321,314,472,559,
891,140,432,501,890,769,096,269,051,700,248,735,129,899,117,105,582,904,971,
129,351,335,277,207,516,110,440,879,112,531,744,258,122,507,725,044,017,581,
803,659,579,986,668,630,719,961,888,265,991,522,595,518,920,057,487,167,588,
157,654,823,750,646,729,995,018,550,760,915,768,182,815,108,999,427,512,346,
369,310,441,272,173,133,278,706,841,390,722,329,653,101,623,151,634,181,590,
908,940,981,236,400,524,939,759,040,033,307,935,294,246,241,747,842,952,555,
391,574,335,113,501,522,300,166,311,445,562,654,426,337,466,249,089,768,480,
283,253,942,073,326,682,565,047,905,879,449,680,064,531,402,388,673,848,248,
096,085,002,525,550,383,947,974,029,331,448,556,751,449,045,314,036,276,651,
648,191,319,368,998,446,871,095,086,904,191,918,774,340,092,103,364,876,281,
814,151,972,221,343,751,163,732,904,777,112,621,521,570,693,595,252,155,322,
279,952,734,666,270,403,790,159,530,184,116,621,146,368,327,302,314,406,514,
862,769,148,417,939,358,775,442,908,357,221,553,203,321,658,845,870,342,110,
023,736,236,256,630,924,273,963,591,325,411,254,224,049,523,863,707,001,693,
920,002,582,833,946,061,113,578,329,837,373,017,962,318,799,221,143,392,959,
959,468,391,921,923,505,181,263,739,208,009,260,116,818,387,083,585,965,949,
300,294,832,434,316,125,370,420,167,527,962,543,843,398,340,923,003,775,399,
300,514,218,697,031,317,246,359,075,765,298,984,155,575,402,041,824,077,116,
157,263,362,384,628,936,873,245,690,364,256,551,733,539,441,517,331,109,232,
973,376,697,535,901,001,138,453,042,686,236,660,000,448,163,138,764,655,359,
050,731,907,508,008,716,422,179,811,835,970,712,121,697,115,224,549,862,032,
034,762,701,745,665,516,951,024,649,219,776,816,926,550,173,529,501,509,288,
283,305,579,181,564,401,337,734,565,869,168,522,564,052,183,236,850,252,910,
513,066,957,065,808,701,129,399,322,492,593,927,767,429,468,484,607,387,957,
338,478,881,815,980,722,664,850,481,886,863,630,332,044,137,342,671,264,230,
809,821,141,344,139,695,675,304,799,069,037,038,466,854,466,897,238,902,029,
179,085,066,780,640,838,750,192,711,712,821,530,872,066,884,752,949,630,609,
809,821,505,040,070,322,842,706,814,766,851,283,540,195,839,885,955,434,472,
088,900,433,699,335,364,253,378,618,812,943,374,525,683,992,476,989,931,386,
237,689,786,010,594,374,952,056,650,340,049,410,922,494,153,570,609,137,502,
298,311,734,125,644,578,476,778,214,193,225,057,958,762,491,060,634,393,436,
538,061,249,889,254,910,455,514,138,398,814,803,619,671,025,923,411,644,990,
687,934,352,211,552,025,032,029,204,192,254,731,375,192,575,580,134,105,375,
164,552,193,808,664,266,323,799,630,804,830,399,719,207,863,814,109,157,843,
355,085,483,685,772,310,454,570,931,509,572,151,449,784,672,290,176,433,179,
654,576,725,834,531,015,841,171,017,879,311,242,493,071,993,792,817,878,246,
437,372,012,668,957,863,228,261,802,479,387,651,693,010,902,201,973,526,698,
500,428,296,808,674,183,631,030,954,740,922,125,806,257,980,072,984,613,255,
841,436,600,081,891,768,222,686,721,335,336,168,313,551,939,722,318,094,976,
556,514,903,327,054,384,006,645,672,477,377,892,593,656,646,695,770,170,643,
106,709,765,539,425,886,567,663,784,043,312,964,261,708,181,768,023,054,428,
338,128,796,334,055,916,476,853,500,164,108,409,570,689,367,190,565,041,001,
243,178,629,519,849,573,218,345,230,469,911,121,024,177,786,335,805,939,993,
032,899,193,943,683,543,007,475,531,159,170,881,326,210,298,085,100,464,512,
834,333,918,795,337,918,480,399,291,450,814,546,457,282,291,222,608,442,031,
397,804,538,144,589,248,758,649,785,263,572,566,763,079,612,968,431,669,699,
799,281,198,291,342,591,736,618,054,351,806,374,604,907,261,859,601,561,126,
689,176,294,300,317,523,005,398,407,652,116,083,320,910,471,407,970,562,682,
825,630,467,770,640,588,643,790,906,545,637,877,192,381,939,778,947,149,154,
523,147,517,954,218,755,957,841,346,385,964,505,889,129,915,246,482,683,058,
085,807,057,411,854,796,985,783,163,836,081,897,345,504,182,711,870,979,539,
370,842,806,910,442,490,770,278,360,423,950,266,268,461,860,925,533,703,231,
496,101,234,846,066,047,988,600,968,890,055,215,416,919,908,957,907,895,557,
515,375,589,466,614,062,835,211,913,010,796,606,953,067,387,814,511,278,004,
768,200,847,128,209,710,327,888,941,324,651,875,838,299,405,218,170,069,750,
734,099,172,045,824,580,615,233,201,691,833,671,412,010,375,738,153,166,301,
016,288,745,615,377,588,219,571,766,700,993,231,225,502,617,016,857,489,235,
543,800,342,588,968,852,240,436,999,621,209,054,450,440,640,104,821,611,895,
644,818,305,722,639,181,873,339,965,578,272,376,708,507,319,211,192,726,380,
443,810,275,024,912,151,032,216,733,053,442,208,748,395,375,868,099,377,146,
204,844,370,077,949,730,436,587,642,647,149,297,813,702,420,765,750,827,515,
659,052,294,022,767,092,128,405,222,594,042,338,604,620,208,028,391,006,119,
872,147,400,821,479,264,944,296,531,550,236,998,355,372,907,866,413,247,728,
638,510,441,751,815,740,418,053,377,986,869,989,867,159,176,514,144,083,081,
551,399,632,589,606,677,270,521,761,713,074,555,225,946,280,032,249,495,745,
074,116,847,107,114,941,234,530,234,682,817,204,967,026,745,073,327,887,619,
972,118,827,865,533,504,616,268,143,913,814,068,091,391,621,654,749,370,290,
223,142,753,015,199,568,373,870,552,905,555,050,120,741,249,092,067,925,228,
559,281,505,817,449,390,282,150,991,983,767,957,283,950,954,091,541,846,564,
028,545,407,265,813,105,740,503,822,104,594,102,934,588,200,101,449,122,132,
402,985,653,933,168,389,893,266,818,504,440,367,571,401,987,230,714,590,863,
529,441,759,611,857,365,769,628,888,167,789,167,763,951,874,680,309,266,687,
270,928,036,632,887,187,544,844,588,454,449,750,116,113,455,165,127,041,258,
272,954,588,898,016,534,417,354,787,629,660,256,695,927,810,631,824,377,416,
550,286,982,853,763,361,771,987,149,913,050,919,608,949,429,467,362,614,987,
870,159,033,997,969,677,978,441,499,998,369,289,464,928,420,653,434,412,518,
211,801,218,975,686,950,966,824,637,139,145,452,075,361,159,850,971,728,668,
687,592,385,299,023,394,708,780,272,631,511,010,038,383,202,534,878,854,168,
765,515,424,537,084,515,882,254,109,731,095,081,749,196,948,858,004,023,605,
713,139,022,929,275,991,986,034,764,229,885,451,244,420,393,651,840,831,074,
674,277,727,953,994,679,310,236,135,065,866,724,774,674,612,536,915,231,756,
106,521,667,930,069,383,849,835,132,047,625,107,155,623,658,417,593,124,010,
463,734,064,296,392,862,107,690,240,125,374,046,371,460,460,373,076,326,475,
184,212,336,224,393,030,156,444,450,171,526,229,736,174,122,356,451,232,532,
712,614,876,721,329,894,704,580,883,512,192,570,367,264,381,051,001,345,600,
572,854,265,316,878,679,555,651,280,439,040,895,766,973,737,291,532,113,462,
767,531,203,944,570,123,151,139,708,043,482,704,251,318,727,955,383,058,737,
985,231,495,493,742,942,417,341,061,920,633,969,257,288,458,825,977,092,389,
996,744,363,963,928,782,814,787,977,518,012,857,365,090,162,565,443,653,183,
417,387,153,238,337,443,841,783,243,380,879,770,001,458,137,728,545,284,081,
260,170,613,148,341,873,231,395,624,267,337,835,198,569,198,693,514,709,104,
163,122,454,462,185,922,227,872,192,136,748,944,295,088,992,819,018,212,955,
915,135,545,379,936,488,810,217,340,757,991,119,043,242,654,301,061,325,462,
053,926,685,053,273,437,866,888,577,636,202,800,053,654,935,665,168,798,466,
726,798,356,512,364,111,726,778,254,490,360,704,060,147,501,121,253,541,394,
730,097,883,889,755,850,320,129,263,880,161,407,614,936,977,798,353,055,051,
774,735,090,648,355,224,374,709,097,861,879,196,203,509,860,014,259,582,059,
926,059,854,286,788,264,892,110,889,850,301,119,148,188,230,987,796,728,431,
673,050,646,993,379,908,159,464,145,871,616,575,604,336,844,490,967,766,613,
609,652,873,361,548,681,835,290,738,405,649,492,512,796,057,601,716,910,154,
589,780,380,103,548,872,714,379,578,201,045,261,977,448,653,709,196,802,775,
525,102,911,077,991,484,888,622,329,860,926,337,065,991,180,217,246,881,476,
704,109,113,377,413,735,613,461,451,998,213,752,587,088,857,867,208,068,285,
719,081,463,635,791,045,947,088,399,481,729,192,428,556,222,334,500,810,351,
097,816,892,677,882,021,585,279,258,061,994,781,349,982,664,882,651,952,064,
888,606,112,812,722,042,834,048,696,895,035,566,612,555,520,286,620,125,749,
663,424,017,470,787,518,482,763,439,412,923,240,314,598,030,251,206,571,163,
286,443,739,565,994,546,969,070,202,346,847,415,552,067,900,982,900,916,399,
046,388,632,577,943,757,898,138,961,720,563,330,196,385,511,728,331,906,868,
504,044,971,092,660,128,965,453,461,435,021,961,694,015,251,689,527,126,445,
458,597,157,237,526,536,390,221,458,229,273,231,617,772,777,335,532,254,113,
497,684,096,559,472,692,645,969,629,336,398,961,010,834,410,065,089,311,054,
838,713,404,736,348,210,167,250,993,930,057,268,781,095,900,558,272,331,389,
179,523,327,946,058,405,194,378,310,564,826,890,305,050,909,798,324,094,883,
249,178,029,959,279,574,129,693,559,773,039,538,822,278,965,351,110,273,353,
613,321,115,759,737,247,222,767,560,075,933,775,545,995,798,473,023,789,041,
369,660,401,270,381,869,887,008,113,118,416,564,941,931,836,450,812,753,878,
595,933,476,334,718,593,025,470,749,021,281,719,584,337,061,796,263,579,747,
814,496,000,372,610,542,286,931,195,557,596,075,078,350,491,635,221,357,263,
931,405,669,944,104,740,953,447,259,110,028,952,389,902,227,270,658,084,626,
447,402,407,555,823,613,670,105,600,161,290,332,505,806,354,956,703,272,868,
496,485,584,870,449,619,987,597,303,819,290,938,867,911,391,653,096,670,833,
846,613,684,205,449,773,513,040,373,071,525,963,891,429,056,880,113,721,198,
934,495,871,082,287,444,348,212,895,066,019,661,588,168,066,352,424,253,220,
905,063,732,351,927,735,744,053,820,544,887,213,437,798,780,263,853,226,133,
445,126,003,106,743,532,990,556,709,633,223,004,079,093,147,224,084,956,155,
845,373,288,102,591,870,197,103,635,538,620,659,673,383,357,072,118,886,653,
397,436,023,284,184,009,016,861,454,034,462,305,071,126,409,631,138,478,061,
828,167,789,617,044,666,632,884,966,028,878,532,567,682,490,163,370,727,430,
339,434,599,520,444,214,693,951,458,177,765,460,241,455,565,200,967,425,513,
230,452,024,972,849,311,109,945,967,893,336,166,908,958,412,144,691,564,146,
647,879,829,596,103,218,459,569,039,151,786,320,793,884,285,189,984,282,778,
896,638,051,787,456,162,989,022,854,064,956,006,343,738,646,716,810,189,484,
011,041,477,787,360,706,358,501,429,097,506,582,639,057,404,263,724,119,327,
067,704,422,773,873,744,281,221,850,993,206,066,781,548,975,133,120,944,433,
627,347,180,304,692,163,399,750,472,517,781,574,460,766,202,377,533,208,380,
343,602,208,775,882,622,188,849,249,491,357,666,786,719,771,487,617,256,124,
793,238,743,525,524,982,620,727,370,922,138,077,019,095,562,324,077,953,350,
230,479,379,229,898,853,923,909,797,178,087,088,720,142,435,800,372,338,330,
063,960,049,884,855,848,637,540,056,274,705,134,180,868,664,943,121,175,847,
808,579,333,053,108,809,193,108,021,405,143,877,346,916,521,717,015,988,381,
360,631,206,970,827,488,502,028,640,141,627,615,117,572,243,465,840,788,458,
350,347,416,967,810,357,382,004,338,766,367,899,194,179,898,996,470,805,178,
688,677,062,087,421,615,657,869,128,901,244,777,826,240,205,639,497,835,308,
355,438,475,203,381,945,446,607,004,174,144,563,376,820,468,461,003,147,230,
014,351,518,834,596,004,686,855,863,730,980,401,081,282,498,377,899,269,941,
895,821,497,716,257,205,874,225,695,649,904,420,325,405,118,673,168,124,355,
144,246,894,808,122,295,384,853,533,161,809,600,904,343,981,589,169,783,199,
093,817,945,139,993,770,283,821,354,985,002,376,060,350,615,423,051,083,288,
385,354,207,836,752,831,551,099,085,327,959,528,771,866,231,828,354,543,549,
798,544,744,181,393,099,232,998,208,227,227,981,664,683,485,242,915,188,196,
022,205,238,731,789,415,215,631,333,043,503,329,190,837,721,248,007,620,752,
206,991,563,966,038,132,757,074,196,826,261,872,545,489,909,925,603,535,180,
546,167,683,316,304,351,328,531,058,934,264,809,234,194,387,778,531,287,397,
078,872,872,064,179,902,640,713,018,350,654,047,159,434,932,630,018,565,832,
321,423,203,105,406,693,693,973,310,509,130,794,242,937,745,763,493,093,940,
804,311,539,497,588,127,263,988,073,450,607,682,685,477,352,237,763,570,789,
908,601,009,654,755,575,325,585,669,617,148,275,433,639,176,099,549,392,188,
032,858,058,674,235,027,802,231,674,487,771,794,488,737,701,144,006,528,725,
629,015,630,574,318,564,992,008,459,252,509,649,162,997,363,089,084,177,127,
555,675,100,843,559,434,127,341,506,346,607,705,074,480,185,058,574,089,901,
492,497,374,320,197,975,344,502,332,143,059,403,519,765,023,518,682,842,707,
327,662,625,914,038,868,255,329,517,307,954,031,295,410,053,665,069,663,341,
513,668,032,445,016,712,749,567,537,494,439,091,713,876,187,549,945,495,634,
992,208,115,671,979,983,274,623,210,372,932,960,356,170,806,227,301,061,478,
731,015,978,135,902,093,835,755,069,099,294,654,599,350,393,966,387,182,283,
733,079,798,713,378,494,421,883,410,136,717,633,988,718,239,694,441,003,234,
061,910,876,804,400,399,772,806,094,076,301,696,591,576,051,468,554,855,146,
890,716,074,362,475,718,432,775,609,436,188,128,817,843,250,876,169,404,910,
958,931,557,330,760,582,490,173,737,609,125,503,263,827,993,902,034,818,122,
922,314,740,170,882,444,173,141,673,113,517,215,930,956,988,647,702,220,715,
023,743,127,345,026,186,904,666,956,438,527,927,994,643,135,790,330,912,344,
822,723,528,577,664,400,641,464,655,313,955,777,846,409,672,740,774,656,950,
105,549,363,752,193,974,615,668,710,797,966,894,120,156,862,507,464,067,745,
188,434,954,213,293,099,894,179,869,396,832,684,734,819,760,090,535,526,945,
693,164,715,295,321,197,150,132,593,572,575,219,615,021,840,749,931,653,885,
798,636,756,281,712,209,279,074,864,313,779,833,583,978,545,031,224,146,491,
805,892,830,945,720,462,075,318,477,784,638,926,543,799,775,505,353,967,733,
974,239,189,940,336,605,954,213,989,414,064,009,307,239,625,463,310,423,693,
535,164,891,621,999,436,874,315,556,834,996,597,939,196,504,297,859,830,875,
128,001,022,053,631,463,467,771,772,796,099,425,073,353,853,906,538,214,553,
932,873,134,825,725,661,542,900,617,179,679,308,453,265,349,470,703,198,323,
627,740,062,159,919,781,719,170,377,705,983,114,376,823,436,587,638,300,460,
456,805,198,735,104,430,644,559,597,629,972,979,672,394,037,579,689,009,476,
366,215,831,071,436,877,972,725,117,224,500,330,519,542,404,770,359,063,544,
567,088,001,974,551,191,889,642,240,490,709,789,342,848,633,391,650,735,331,
561,321,829,223,000,704,941,213,382,669,516,487,372,402,475,428,056,994,967,
280,008,265,812,535,878,463,302,457,654,090,082,853,256,897,645,311,761,911,
500,296,855,263,803,936,087,905,173,804,088,778,358,042,576,574,422,751,408,
390,136,908,667,375,158,424,785,699,726,201,197,334,659,344,860,915,325,270,
919,810,715,758,189,346,425,431,018,152,746,201,768,599,735,022,342,196,917,
881,281,740,735,845,459,840,935,229,567,993,808,872,912,971,020,961,322,576,
323,599,897,823,032,229,782,059,352,933,878,392,212,948,474,909,266,189,830,
746,783,255,121,201,067,599,176,664,329,628,638,302,366,312,469,340,343,805,
395,046,052,826,593,132,171,282,614,591,887,645,101,772,195,168,685,342,047,
698,226,560,643,321,303,671,321,526,471,353,682,947,564,409,516,877,770,110,
355,980,291,293,279,809,422,821,097,586,607,670,878,500,844,325,478,873,913,
954,586,598,702,577,472,687,259,217,431,133,835,753,111,191,455,083,502,950,
368,435,698,977,283,997,068,698,448,711,300,512,350,436,950,696,041,856,613,
425,180,810,773,839,585,106,981,435,811,149,381,540,592,412,512,830,290,730,
182,290,604,344,553,454,301,193,720,390,273,274,086,037,900,961,109,332,704,
822,714,401,135,526,063,053,525,121,129,330,399,746,105,241,850,214,510,974,
982,982,590,523,714,603,235,556,247,962,481,109,606,781,927,381,514,932,221,
908,879,186,348,694,539,540,399,992,611,103,867,305,730,299,330,080,997,525,
626,202,330,698,900,765,121,450,355,407,149,914,247,956,850,634,310,153,903,
887,273,881,931,608,253,238,769,160,342,343,147,711,249,195,041,333,969,709,
666,204,860,115,980,384,004,690,435,015,297,205,047,756,304,775,503,430,122,
651,814,376,898,956,518,240,292,301,824,161,266,379,551,150,977,442,908,963,
181,844,502,220,537,517,127,206,174,697,970,583,804,404,981,231,949,130,053,
152,746,185,123,629,969,702,196,444,281,025,576,712,189,965,164,660,937,412,
752,492,409,007,141,124,235,260,228,987,125,422,243,256,357,654,751,752,378,
010,740,513,248,812,358,581,912,645,439,303,750,544,248,863,149,743,693,611,
227,212,378,976,415,415,556,245,865,091,860,938,626,726,991,673,213,867,554,
708,325,996,582,913,556,866,832,165,728,185,487,539,551,838,639,346,251,849,
663,401,680,385,521,982,516,875,410,425,526,926,103,571,899,613,178,938,220,
575,727,084,982,495,855,896,394,856,566,193,725,679,499,290,446,651,348,504,
689,275,976,002,953,458,411,024,351,221,036,174,849,066,729,436,083,180,870,
246,985,002,148,995,197,988,707,587,178,218,549,569,479,572,149,255,204,555,
647,901,551,721,517,012,649,247,298,972,078,418,438,499,145,257,994,130,931,
054,647,308,664,485,565,443,753,669,161,495,218,533,172,723,299,641,312,726,
870,144,231,236,077,179,486,153,996,766,304,072,309,008,988,786,004,355,281,
863,378,029,903,771,728,755,118,914,219,992,199,899,263,457,115,853,222,423,
606,272,208,999,433,810,531,161,498,430,682,024,996,230,616,315,150,069,896,
058,780,897,309,090,882,947,425,919,640,224,763,652,793,369,088,533,669,516,
376,639,104,311,007,121,939,703,068,757,522,381,818,985,933,851,551,560,819,
690,489,118,359,697,783,293,352,742,201,948,579,552,192,766,582,735,509,332,
852,523,377,037,654,891,756,702,650,849,190,001,142,251,723,979,365,700,690,
786,224,892,700,405,043,809,044,444,814,342,877,520,850,807,895,920,582,093,
777,439,411,649,749,444,445,490,483,218,033,210,688,862,172,064,821,981,676,
070,913,320,800,526,175,337,384,393,299,643,266,910,182,173,308,281,316,726,
134,417,976,376,010,209,153,992,781,639,443,579,070,495,135,126,270,478,531,
830,390,599,713,359,020,396,686,496,619,321,509,506,847,753,241,972,922,955,
040,699,124,193,235,169,203,818,693,153,380,575,234,240,204,211,031,222,209,
970,589,979,985,950,384,924,540,012,597,012,349,956,571,620,376,571,812,623,
722,542,654,457,672,409,326,726,170,177,395,553,434,044,546,741,855,805,842,
624,534,525,823,333,281,733,007,665,156,542,427,024,814,125,369,452,940,032,
159,487,360,223,037,043,703,087,286,275,458,082,556,374,169,657,295,723,610,
179,512,923,776,648,419,074,630,466,520,852,689,700,068,651,688,122,041,743,
019,626,680,589,279,184,458,224,410,303,097,320,153,068,083,148,784,167,814,
579,552,355,839,799,288,273,395,948,638,355,852,977,943,489,881,535,724,839,
980,039,597,962,754,111,702,069,319,087,497,923,127,978,282,625,115,395,131,
538,447,895,706,299,103,875,553,225,659,078,083,749,116,447,717,166,952,449,
419,816,818,592,313,214,574,837,765,873,699,326,881,400,579,101,494,102,062,
325,817,156,929,840,595,815,061,775,788,775,432,248,085,752,742,997,339,304,
130,172,524,975,177,557,473,736,643,481,158,193,516,773,511,739,337,056,783,
897,859,253,351,735,205,631,764,388,710,134,812,780,899,978,768,510,085,940,
317,338,653,488,329,550,016,778,745,671,858,394,341,742,986,142,593,538,274,
448,916,004,484,573,943,202,525,517,651,287,030,814,075,524,315,363,973,877,
883,472,325,102,580,362,354,050,200,678,403,787,235,077,826,752,821,570,502,
376,486,463,716,315,653,200,841,079,663,552,892,938,950,327,184,333,652,689,
724,037,756,704,926,923,457,775,022,021,012,180,991,498,635,317,373,403,705,
814,372,255,283,415,938,605,368,941,098,654,774,671,752,716,720,328,526,080,
337,619,010,325,764,603,249,530,283,660,147,908,009,185,775,404,343,115,725,
969,996,934,044,881,422,188,794,063,987,217,689,222,888,233,519,229,422,750,
406,825,406,680,903,780,932,204,144,691,009,975,759,777,579,510,816,898,913,
844,124,122,886,070,183,336,813,272,365,667,782,131,446,769,756,147,149,750,
650,904,397,269,000,291,752,682,307,757,468,357,817,320,689,843,117,816,865,
417,717,161,284,453,904,823,847,845,447,624,877,040,816,050,098,376,422,092,
716,308,346,382,240,598,422,898,683,901,912,137,310,091,612,370,530,221,831,
782,485,019,933,034,292,075,472,205,370,091,423,398,301,397,514,588,779,253,
131,368,792,371,908,697,010,723,847,699,339,468,102,949,955,515,633,457,743,
045,119,303,523,708,002,750,317,819,718,142,834,859,644,608,811,688,313,513,
769,361,368,394,527,622,896,120,437,014,073,052,357,237,451,753,904,330,405,
571,224,259,707,594,617,936,517,677,401,615,809,528,982,490,262,081,914,583,
201,307,829,821,391,803,098,259,124,158,235,430,276,433,058,242,250,898,384,
478,358,875,633,094,957,886,797,821,680,368,698,894,034,882,383,081,858,045,
429,136,702,923,466,431,899,735,608,549,713,613,497,424,762,386,696,094,917,
295,021,609,071,086,451,486,934,907,612,329,381,799,120,488,890,954,210,062,
367,227,062,884,783,929,250,301,968,703,486,113,436,003,299,534,276,069,834,
492,175,777,924,349,014,298,847,945,749,398,187,299,685,660,281,151,838,929,
516,910,808,955,989,445,305,892,988,267,608,317,836,024,609,238,280,140,820,
656,313,301,529,389,106,698,032,236,531,051,688,416,008,288,902,662,255,605,
342,032,694,355,834,786,120,715,576,015,049,620,076,980,835,808,301,234,368,
347,068,888,247,236,363,357,915,520,457,165,230,081,755,045,444,814,170,323,
509,346,079,021,806,111,489,337,994,883,220,862,292,655,876,851,551,380,402,
732,515,555,033,005,301,309,576,997,380,073,486,492,460,988,305,165,316,007,
811,201,816,005,976,521,014,786,375,403,660,162,303,356,018,836,622,329,209,
113,130,714,928,248,252,936,520,749,401,841,693,840,354,142,771,830,207,080,
870,593,615,786,968,344,045,608,969,576,717,231,849,141,039,084,166,669,570,
765,541,881,587,921,447,671,178,546,881,743,469,402,103,279,055,959,540,597,
007,301,656,269,767,008,683,915,595,790,677,708,934,499,780,429,149,137,066,
077,822,327,988,466,345,850,842,168,174,764,867,744,167,562,202,393,633,868,
313,590,645,146,225,224,997,725,333,248,023,844,900,564,451,199,184,888,451,
748,202,094,745,284,975,066,627,142,788,601,623,153,206,254,130,156,788,994,
618,215,805,260,993,699,741,693,193,411,388,232,792,778,709,225,285,864,792,
462,040,504,841,981,427,375,101,021,535,767,942,979,297,226,389,115,944,077,
267,710,468,276,696,787,956,953,631,059,650,446,567,125,722,494,157,619,318,
961,811,369,523,270,655,384,617,459,349,284,192,735,222,931,908,982,302,410,
892,164,221,357,426,906,607,337,343,095,416,348,168,673,213,033,949,067,403,
577,502,517,948,506,406,304,831,647,796,580,504,099,485,324,075,351,355,842,
795,871,866,246,288,207,534,365,670,777,967,098,704,067,543,417,148,567,039,
100,760,911,575,781,748,857,721,428,282,120,552,758,803,044,934,519,065,945,
645,808,499,564,478,308,237,781,944,308,613,182,424,308,421,525,850,715,311,
950,503,932,710,372,482,344,026,171,273,881,549,607,115,092,346,570,378,859,
027,537,835,658,161,177,379,052,607,833,883,987,616,631,234,695,972,969,913,
280,044,463,672,281,285,963,373,133,548,078,835,530,472,321,645,851,319,096,
722,276,014,154,164,485,726,540,696,544,745,306,993,666,858,735,172,319,339,
090,481,360,712,996,025,844,051,367,157,906,884,345,499,731,508,580,085,454,
085,557,063,913,927,614,311,984,355,837,550,002,152,888,580,514,172,496,265,
871,284,526,333,872,618,045,432,572,859,949,509,545,411,790,118,843,995,722,
699,153,476,077,687,947,699,037,883,492,757,033,792,256,713,976,986,599,529,
330,086,054,079,711,498,524,053,001,830,055,366,396,286,717,438,537,488,664,
615,554,207,827,018,119,292,673,204,835,576,876,197,164,941,924,258,436,951,
090,991,682,355,755,762,752,178,680,612,211,565,406,269,302,603,273,546,481,
248,183,056,054,034,426,899,023,956,247,266,342,711,659,358,996,280,962,973,
366,124,700,465,597,521,494,577,219,520,056,791,002,205,353,155,262,301,176,
270,412,831,669,872,307,655,196,915,144,418,476,401,635,790,126,783,261,423,
618,015,330,854,577,150,662,419,812,557,661,564,209,604,496,054,760,212,290,
973,896,043,364,809,639,064,266,727,308,321,334,116,626,497,237,171,200,446,
334,864,930,795,157,767,183,636,358,653,247,227,864,474,048,378,457,253,608,
777,475,398,512,049,435,088,357,851,119,120,387,129,184,600,493,372,998,887,
337,801,046,498,006,436,051,672,630,157,282,899,103,156,853,000,890,694,068,
236,855,082,273,312,242,591,812,720,297,666,441,753,341,065,053,854,770,350,
163,575,452,413,047,148,129,643,489,698,187,753,452,437,052,460,029,420,329,
435,225,189,693,944,303,448,980,691,429,903,001,650,619,155,035,340,075,107,
847,342,142,336,685,770,685,589,286,898,132,849,576,711,694,250,600,121,085,
862,741,852,456,120,938,200,648,831,516,730,411,548,585,450,122,943,350,278,
515,247,958,679,753,448,418,891,481,427,529,983,482,940,294,950,118,828,948,
136,182,451,747,742,356,602,093,084,537,332,862,821,132,001,104,774,991,070,
263,853,889,094,206,513,415,771,618,505,978,158,895,062,643,654,804,492,597,
321,002,806,526,201,335,366,536,305,625,026,533,380,202,811,619,769,497,232,
659,019,807,554,590,580,671,780,946,584,843,338,594,511,586,282,964,121,488,
185,713,930,001,040,567,085,455,538,994,288,830,157,271,711,854,895,948,598,
245,387,480,143,025,539,204,745,569,236,935,744,531,553,920,340,936,742,068,
535,405,404,682,297,832,733,226,885,529,182,048,803,592,534,892,287,273,517,
071,587,435,688,809,383,783,589,727,952,960,144,915,754,440,270,766,399,854,
952,968,322,327,791,103,061,285,849,829,507,309,217,018,629,765,362,102,225,
681,474,685,536,018,690,922,025,370,565,033,550,914,096,518,872,665,281,586,
517,967,036,018,512,834,798,388,409,970,369,915,621,209,394,388,881,358,806,
842,637,795,510,124,814,283,133,011,819,769,000,294,521,110,413,549,256,461,
300,581,234,586,642,710,325,147,670,673,493,459,433,909,869,337,196,611,023,
020,784,999,600,208,358,981,041,268,091,972,924,145,983,319,930,881,096,315,
736,319,667,987,276,432,871,435,079,119,567,364,960,933,808,212,775,185,192,
397,411,316,985,327,817,762,224,753,665,802,000,749,202,537,100,477,634,819,
447,964,666,986,975,171,716,718,757,258,837,443,092,559,805,812,554,950,040,
022,799,255,655,927,722,740,901,015,805,400,247,380,933,482,757,483,009,652,
760,560,254,768,229,098,975,541,581,097,599,669,642,809,744,000,881,866,238,
634,942,407,352,113,489,338,612,602,786,327,458,169,380,262,059,219,804,845,
755,206,237,408,970,908,210,401,412,126,714,084,074,265,496,324,927,963,931,
848,909,950,459,497,318,914,107,065,089,212,511,194,749,240,458,181,185,532,
204,363,682,383,151,889,428,265,252,579,639,451,594,744,149,168,207,653,022,
092,945,407,501,980,186,996,682,611,071,936,210,871,183,541,869,906,740,776,
947,884,734,421,215,708,356,406,732,774,589,596,255,481,162,229,721,081,344,
267,340,798,829,495,443,360,438,051,604,891,534,560,812,540,272,700,810,119,
298,475,773,752,190,140,663,111,859,845,888,629,583,032,007,418,777,313,271,
600,764,317,425,330,366,584,770,992,901,539,483,120,646,632,902,503,184,981,
481,807,447,846,986,239,541,597,298,741,030,604,766,037,199,280,289,818,849,
789,519,256,112,746,712,948,856,062,891,142,848,059,434,193,621,604,476,936,
456,558,890,147,606,084,901,666,452,175,393,062,530,762,553,960,287,604,986,
984,545,148,644,503,510,868,208,111,568,050,033,332,491,451,015,997,886,847,
513,045,365,762,189,835,857,845,154,000,229,484,094,505,327,118,995,122,232,
389,145,164,744,130,534,880,564,876,773,890,210,675,058,608,958,913,408,423,
208,498,987,348,313,442,059,313,777,049,589,602,365,066,773,721,505,554,009,
423,456,755,331,625,739,729,370,700,766,457,678,749,357,928,141,817,247,567,
427,564,816,350,132,620,324,686,071,759,406,972,788,228,611,979,027,293,651,
044,436,602,704,273,966,273,077,989,416,796,429,532,975,007,572,210,937,661,
613,663,672,056,643,333,858,107,249,139,183,535,079,354,335,028,839,798,994,
841,024,898,813,226,792,524,355,772,158,206,808,112,449,540,630,779,647,628,
294,216,993,590,911,380,973,276,640,336,044,425,877,848,756,808,338,271,542,
440,867,819,175,195,325,957,785,307,928,742,569,021,480,417,236,885,425,177,
473,940,651,408,033,620,242,417,403,813,654,067,065,856,754,299,687,101,892,
557,332,573,332,049,851,775,395,164,685,839,232,482,277,727,628,944,257,194,
697,119,337,790,334,420,883,716,528,613,227,035,467,179,496,050,610,035,450,
425,006,372,168,586,609,233,478,575,209,459,172,495,993,656,616,437,177,589,
487,248,668,315,264,032,657,000,274,773,828,628,176,686,795,871,222,893,760,
484,017,493,691,470,709,161,182,343,120,228,137,520,267,778,660,516,821,440,
682,388,316,310,619,623,152,589,314,717,570,778,022,211,559,682,220,368,378,
146,752,830,341,936,018,913,463,885,731,479,606,124,763,441,080,694,675,757,
014,314,083,628,915,434,150,152,532,580,743,734,168,907,794,732,931,089,110,
305,145,709,925,374,289,818,756,005,685,388,905,737,845,744,970,060,106,932,
220,338,232,548,634,657,315,251,476,729,786,413,707,275,603,499,518,788,587,
579,732,609,141,121,279,901,741,915,152,886,733,630,855,890,287,711,694,579,
413,790,021,189,430,318,277,731,203,674,529,756,530,132,714,554,725,794,206,
060,154,225,331,382,934,293,496,205,405,166,262,909,398,694,243,121,958,094,
957,037,323,210,028,966,342,932,221,950,695,245,004,454,040,586,423,693,995,
959,658,804,073,385,487,540,716,369,641,140,013,069,248,849,082,207,677,493,
632,517,450,685,436,229,077,672,396,199,029,124,660,920,709,674,120,875,938,
492,338,520,660,679,824,340,961,216,949,957,963,790,384,667,576,984,805,639,
583,462,848,397,709,834,511,894,164,203,898,400,701,458,084,806,243,993,742,
278,174,894,564,159,242,959,202,652,542,195,903,991,010,483,421,827,408,073,
439,775,829,389,878,264,014,155,128,545,633,713,215,131,555,214,534,766,716,
359,769,512,441,755,376,289,778,423,487,891,585,553,803,338,648,243,500,053,
622,447,917,463,766,142,664,654,222,434,640,145,362,543,524,199,379,296,032,
049,888,140,596,721,501,084,703,368,231,672,880,012,263,258,326,791,122,115,
315,449,101,782,228,739,547,405,459,693,086,446,769,543,443,068,455,685,358,
142,889,509,246,782,102,237,483,203,407,092,829,346,052,068,648,395,792,551,
930,598,798,776,581,637,480,400,150,093,045,067,510,787,813,692,374,851,624,
203,103,496,012,158,026,537,916,929,298,151,213,080,301,397,244,126,497,362,
907,893,437,046,929,454,468,118,188,239,910,471,224,642,038,843,466,980,655,
969,814,321,279,614,930,794,909,039,679,774,049,017,980,555,126,149,187,020,
277,565,114,704,821,046,749,707,237,734,646,133,321,425,055,338,692,781,965,
147,489,820,773,233,926,932,786,281,151,551,816,958,158,864,289,869,564,891,
028,070,366,724,451,490,767,949,263,258,708,149,653,092,292,410,605,165,800,
687,746,310,732,915,891,650,909,335,880,308,439,643,811,294,790,474,034,526,
078,017,516,540,990,392,460,460,024,719,625,029,726,248,336,714,194,738,444,
048,436,694,123,281,504,271,818,883,204,366,736,577,164,080,327,155,502,150,
186,014,753,172,858,570,148,698,395,786,192,223,455,074,459,078,097,390,078,
474,083,976,802,822,928,358,431,774,225,028,683,589,922,098,198,117,427,094,
661,126,337,470,914,128,024,932,079,250,471,768,981,574,232,148,348,653,915,
823,668,477,722,426,791,168,913,979,807,196,459,686,297,042,487,462,629,286,
202,545,604,217,054,266,603,133,427,894,366,821,569,953,839,199,078,501,152,
472,023,415,652,947,699,158,033,926,466,210,570,711,984,092,688,720,552,306,
602,986,998,331,261,669,440,833,982,563,524,081,915,128,070,266,263,316,932,
824,554,535,073,380,058,504,985,486,437,254,588,935,464,184,118,031,236,204,
653,778,175,095,304,284,734,905,020,537,836,388,077,166,896,019,639,857,473,
499,917,968,102,690,174,733,510,471,649,836,828,362,586,438,185,394,228,233,
754,812,148,687,981,461,654,744,151,864,710,699,687,585,572,478,530,674,264,
195,749,398,806,107,040,704,573,561,943,412,627,096,654,121,739,687,633,855,
935,257,743,470,550,767,493,214,252,871,940,223,055,064,439,940,547,064,422,
939,363,630,780,394,101,099,850,919,851,492,714,544,813,775,685,979,948,465,
516,087,170,583,284,510,508,985,791,262,876,579,229,731,922,549,295,522,903,
093,810,058,909,897,512,130,393,675,474,616,921,530,766,473,653,006,480,820,
312,652,046,628,317,461,069,707,341,696,763,487,226,558,407,803,302,461,456,
967,550,146,973,844,648,861,718,854,462,718,328,172,605,766,962,422,424,535,
786,057,230,665,394,452,865,068,568,054,022,889,685,658,922,365,536,087,543,
642,830,129,855,031,607,904,318,679,963,927,742,042,330,127,993,298,375,836,
774,964,186,565,806,641,152,396,221,442,983,560,137,169,970,178,853,904,090,
606,302,098,460,322,480,354,270,304,466,392,810,063,179,620,591,984,593,427,
986,583,203,034,292,690,538,168,590,018,136,932,788,130,955,651,333,231,429,
083,309,327,287,002,284,801,272,170,483,244,740,953,530,583,082,132,567,281,
657,456,260,719,232,846,121,245,803,041,199,006,435,908,112,507,201,388,724,
689,232,954,355,064,268,927,093,740,717,917,738,404,166,474,557,132,351,233,
164,370,259,598,123,978,463,089,204,715,028,389,866,332,067,595,290,699,521,
007,510,990,219,588,391,655,881,167,621,436,126,938,210,806,845,425,982,351,
254,340,465,050,113,352,257,676,120,607,988,714,260,917,924,636,734,491,664,
536,485,937,974,163,915,366,065,170,545,859,135,105,210,528,879,047,512,897,
647,544,127,081,845,746,661,509,024,951,407,258,612,304,462,572,472,998,578,
334,648,143,854,392,973,506,413,401,615,858,795,673,655,212,263,018,570,482,
363,972,943,118,914,196,614,434,900,559,058,961,944,859,755,829,139,115,927,
096,581,060,549,399,907,007,305,313,901,507,845,396,356,267,269,857,642,339,
228,847,486,616,294,383,821,868,907,660,683,019,488,417,478,605,642,619,907,
574,780,970,802,786,951,925,147,461,994,380,514,110,626,903,571,132,482,448,
210,821,471,837,120,245,038,240,259,655,860,069,884,035,170,555,384,786,186,
629,204,913,031,395,149,348,232,546,008,622,841,927,921,608,974,105,743,808,
651,587,893,704,996,968,632,217,446,301,109,123,035,408,400,241,564,190,179,
832,123,420,639,768,039,935,427,052,720,270,717,081,588,017,410,452,762,111,
608,772,534,088,924,567,661,366,530,274,882,683,515,338,098,765,732,056,379,
911,818,822,307,562,747,271,935,742,152,690,129,009,268,220,881,154,635,215,
179,924,348,746,068,697,927,955,809,861,991,219,032,114,594,749,763,058,906,
996,709,115,675,274,099,768,791,978,524,012,516,604,238,515,463,711,879,681,
612,046,885,139,824,766,886,161,263,025,488,957,335,609,791,342,810,799,716,
150,529,847,933,385,012,678,660,000,070,302,576,056,584,196,696,810,867,522,
644,395,162,088,424,998,166,038,340,189,583,108,988,892,786,603,457,459,089,
810,645,635,216,066,767,906,051,900,733,826,991,203,868,948,016,319,644,480,
890,924,288,437,813,714,770,334,747,137,004,974,170,945,380,141,378,267,383,
481,042,352,778,090,118,041,792,118,940,798,986,347,379,826,798,674,980,325,
886,731,164,685,966,461,446,907,658,710,074,848,791,595,856,366,485,960,416,
491,662,279,415,081,205,936,766,383,169,883,930,398,361,509,689,032,999,654,
309,125,028,481,434,267,132,633,856,997,854,640,004,299,295,241,717,494,035,
430,997,637,556,506,824,898,231,664,812,556,255,149,881,101,937,417,257,984,
299,616,382,563,843,200,771,741,606,492,797,954,399,141,170,792,572,241,420,
315,593,469,551,702,014,564,145,255,725,934,660,306,114,695,030,856,614,051,
902,383,456,562,416,928,803,372,598,493,971,127,622,772,311,134,541,662,418,
027,904,559,924,628,934,019,575,355,312,707,063,753,144,297,313,859,683,256,
336,851,678,479,203,046,856,004,623,619,943,672,220,547,987,663,896,178,159,
246,985,801,862,891,517,284,688,227,998,926,306,972,737,006,470,214,394,939,
400,413,214,548,608,999,860,713,228,558,037,906,586,483,901,857,582,494,283,
834,441,355,352,475,408,973,055,069,317,242,118,475,195,698,010,458,889,136,
993,042,641,041,631,091,052,093,186,425,863,642,803,583,202,692,459,008,589,
703,543,870,047,878,974,690,943,798,365,552,960,710,029,632,652,882,059,479,
429,132,529,843,338,493,378,631,617,333,767,763,278,598,334,102,307,092,202,
950,800,954,980,781,948,536,014,232,387,193,054,375,267,718,197,101,986,833,
169,215,501,761,378,513,608,596,773,756,484,293,171,192,159,211,604,258,055,
418,086,233,250,528,070,417,800,597,127,059,029,884,185,409,905,124,787,826,
099,258,602,711,842,890,196,503,076,071,727,302,079,977,131,028,360,675,517,
961,061,712,930,552,911,679,466,141,838,078,131,032,614,466,585,515,333,188,
667,349,204,474,092,750,242,047,168,705,066,267,981,501,498,429,700,050,291,
288,033,509,336,453,037,096,848,521,383,221,153,721,979,474,633,574,317,234,
163,430,972,780,219,972,163,079,707,128,423,367,674,061,770,825,632,946,631,
632,815,313,322,089,617,020,138,348,866,340,445,057,074,833,059,091,866,827,
973,854,387,694,563,344,814,703,946,310,318,337,620,575,269,427,850,724,081,
227,299,304,752,162,170,951,871,750,908,072,089,667,509,043,083,674,518,340,
537,061,286,531,356,952,898,826,716,194,953,540,283,300,757,125,100,736,074,
128,573,784,294,495,086,580,796,531,084,309,154,648,004,172,087,238,008,633,
769,856,505,909,657,417,841,351,560,073,908,903,674,545,830,965,064,451,194,
395,398,055,287,007,040,044,887,203,701,179,095,542,938,821,310,549,895,989,
650,618,502,853,013,741,982,678,559,659,222,120,997,686,196,593,990,293,828,
303,157,110,210,113,296,796,358,017,360,759,417,484,675,575,953,878,361,514,
566,023,060,232,689,181,747,719,680,787,082,214,374,049,926,180,103,486,596,
152,609,789,367,767,012,975,704,619,631,664,054,718,751,541,600,232,702,272,
894,255,674,320,986,002,314,873,451,278,695,447,380,390,920,420,758,119,568,
127,592,956,442,743,147,613,913,796,912,297,280,250,081,544,959,243,105,372,
674,527,844,856,308,600,680,198,874,308,268,860,568,967,889,972,318,326,722,
099,596,755,750,295,199,527,767,707,261,053,462,614,875,040,179,993,267,820,
884,781,914,500,313,803,899,950,835,824,182,307,149,194,970,233,670,800,490,
821,987,755,583,075,285,039,986,235,128,712,173,869,426,839,096,429,656,934,
096,849,970,101,655,140,158,552,945,552,418,240,800,361,901,870,447,407,232,
638,771,732,013,376,383,951,653,300,134,782,969,200,203,019,392,345,457,225,
661,305,717,335,390,378,886,388,157,325,504,442,470,825,013,661,940,135,342,
052,475,010,049,378,766,307,986,813,473,540,672,319,631,723,483,060,079,751,
265,314,315,619,587,572,802,401,444,295,509,210,600,550,578,194,514,558,646,
202,530,841,443,891,532,530,743,706,357,791,109,981,687,443,232,303,578,781,
609,960,311,350,091,991,984,943,444,045,418,889,335,687,802,152,802,027,355,
560,402,253,580,190,518,425,652,997,983,387,244,683,059,097,834,305,951,639,
359,842,134,169,413,925,877,399,252,871,307,212,517,528,566,978,334,196,803,
136,438,294,459,002,586,939,634,054,097,527,381,377,046,800,134,043,284,107,
106,750,713,962,909,066,506,226,121,849,264,763,234,434,649,398,255,862,782,
957,921,273,021,650,203,831,338,323,298,879,699,943,038,837,719,267,534,729,
769,457,736,669,721,199,290,285,328,129,361,802,530,684,721,036,134,664,651,
019,129,534,130,653,105,818,907,024,813,936,541,184,444,643,289,267,139,656,
359,542,293,936,099,248,021,501,789,958,710,497,046,783,359,803,371,002,774,
331,336,630,618,466,041,059,599,820,449,017,978,879,892,176,296,785,524,843,
530,914,436,355,184,780,146,137,363,519,883,779,242,778,648,100,820,671,913,
856,853,239,887,158,616,971,964,896,569,760,023,383,452,467,815,085,965,252,
695,074,144,027,314,130,478,420,797,327,277,058,275,001,254,667,331,176,884,
985,339,502,589,416,331,526,155,731,300,122,623,764,602,402,055,944,677,055,
106,406,332,098,449,786,190,664,047,780,654,504,529,281,991,050,752,459,346,
067,870,619,470,316,738,073,771,917,388,221,499,464,029,548,307,383,506,946,
224,918,175,578,913,649,211,081,941,944,755,452,250,420,201,213,850,060,221,
586,530,020,098,034,300,200,569,215,016,631,374,548,097,225,378,668,696,919,
290,882,264,933,052,163,094,575,634,805,589,831,456,286,549,161,397,163,667,
020,301,163,984,990,365,510,158,629,615,672,006,261,911,971,946,737,550,037,
310,321,316,206,773,116,127,932,979,924,777,422,057,243,215,934,266,053,204,
949,038,717,970,577,701,228,740,218,014,159,837,608,187,437,456,274,588,745,
130,239,946,408,840,925,078,769,415,525,628,689,718,437,116,459,496,616,518,
476,868,082,353,107,067,263,368,474,981,558,337,762,224,723,181,298,664,588,
208,548,851,745,940,019,510,228,654,343,097,578,980,004,215,330,486,922,135,
019,599,968,784,463,902,028,198,757,604,135,992,188,312,400,636,430,217,535,
091,075,153,275,153,522,540,001,445,858,071,030,735,667,943,779,433,855,559,
707,798,060,047,945,840,401,514,373,501,946,479,466,685,366,194,579,931,638,
244,840,643,679,080,071,996,607,592,526,530,370,936,237,648,978,130,408,081,
423,584,754,774,757,496,755,738,532,896,106,777,835,221,368,428,457,566,762,
863,656,499,774,778,210,924,293,056,687,139,331,049,585,986,915,030,235,848,
454,664,198,070,443,255,827,401,585,909,486,932,586,031,764,918,020,164,221,
763,198,543,771,069,342,849,250,586,521,141,218,783,827,682,976,879,688,488,
661,655,074,397,985,264,819,621,626,283,219,252,280,594,525,564,222,782,795,
706,517,367,327,150,250,955,961,600,650,033,064,658,795,465,705,733,273,257,
905,903,519,757,414,352,097,916,060,107,113,103,477,355,198,385,345,110,763,
769,049,526,915,650,674,772,396,177,503,930,207,911,394,130,662,298,375,769,
801,016,160,923,710,551,954,949,270,486,225,775,558,133,650,016,965,243,027,
833,780,577,301,917,317,143,160,974,509,714,395,971,552,729,461,127,865,393,
212,198,312,165,489,260,830,839,142,220,551,749,651,107,776,640,227,105,540,
869,357,091,821,501,970,873,706,260,506,623,445,464,876,039,237,108,673,636,
132,049,810,740,699,077,702,502,900,923,727,763,810,356,716,742,177,776,335,
801,760,216,223,086,723,975,180,132,195,022,917,683,296,189,977,824,956,209,
820,162,415,211,260,061,280,651,017,085,722,830,942,441,097,918,555,775,747,
651,746,100,588,963,021,083,812,860,351,428,591,195,508,738,807,880,696,727,
564,642,824,298,726,450,102,058,700,808,278,259,305,759,193,877,638,272,693,
323,176,365,359,950,480,558,796,219,208,649,195,962,930,663,513,966,130,450,
456,119,977,139,733,506,996,487,008,209,629,516,761,746,856,469,207,091,458,
387,769,420,284,181,337,039,871,299,477,352,473,459,834,838,823,214,648,786,
646,205,393,335,986,020,402,060,006,147,224,290,663,151,782,608,426,876,619,
446,042,455,503,525,303,439,681,488,693,163,231,788,108,033,338,188,592,472,
910,580,244,372,124,855,344,429,554,484,683,405,166,678,494,156,691,947,131,
780,978,216,777,021,548,414,711,946,178,550,792,823,457,475,520,518,659,049,
652,188,988,489,046,162,208,508,857,048,118,424,732,977,158,260,158,999,247,
896,523,526,061,676,502,681,007,865,784,063,798,297,926,521,907,305,873,548,
510,225,822,578,302,547,034,722,598,625,037,522,820,866,452,742,863,854,125,
758,226,610,822,342,303,047,398,098,327,478,790,052,740,707,798,299,316,289,
079,070,761,038,214,256,748,053,935,466,271,790,202,805,148,235,016,758,002,
387,743,815,853,475,965,728,592,326,807,392,438,748,308,533,425,197,661,998,
980,202,560,953,235,789,849,489,386,758,715,387,954,729,489,409,601,143,334,
734,878,404,819,601,476,464,393,070,673,691,639,557,881,162,980,966,076,607,
066,163,042,049,519,007,340,358,315,254,395,398,007,468,950,748,274,078,779,
556,047,512,872,367,398,358,550,573,891,867,490,291,682,283,771,127,179,210,
278,017,597,772,058,328,095,703,069,344,296,455,203,021,739,240,273,555,813,
879,702,960,813,730,202,975,538,052,400,952,583,145,855,372,623,753,306,766,
626,111,799,861,007,931,254,778,043,551,555,973,707,723,994,253,586,848,282,
030,601,400,803,212,480,469,285,551,585,852,147,979,731,694,764,366,831,310,
920,323,567,332,753,569,316,942,507,022,237,606,852,609,150,350,160,893,891,
486,442,435,167,412,301,484,110,666,008,517,632,340,099,916,104,000,045,210,
976,500,475,448,085,967,276,014,804,158,037,288,486,436,940,942,162,034,176,
899,049,281,674,800,275,342,583,951,043,727,393,900,327,091,146,698,466,662,
814,255,233,473,190,882,055,413,141,756,052,885,517,403,388,075,924,300,809,
062,995,425,266,075,502,589,290,548,690,885,901,092,977,802,824,897,580,578,
434,557,847,546,310,691,705,166,222,324,141,768,688,927,875,872,478,438,129,
682,207,618,677,822,318,658,478,495,918,519,695,760,770,328,957,858,332,953,
857,674,619,045,225,644,785,851,500,155,081,795,847,744,403,352,255,545,077,
650,865,877,654,822,663,792,402,898,940,352,748,160,478,588,530,450,683,870,
304,308,348,135,585,725,931,475,500,944,561,600,010,628,191,396,481,796,627,
635,342,128,479,941,636,002,743,271,022,557,486,908,465,579,610,461,645,849,
533,022,916,814,257,205,507,493,732,234,019,219,281,331,020,385,767,303,346,
042,268,030,680,866,949,080,222,432,358,024,643,034,046,488,347,143,376,463,
354,831,226,085,532,590,280,609,586,483,855,428,275,630,793,204,015,320,416,
201,360,175,205,395,499,084,865,362,251,600,947,010,481,876,373,811,710,205,
310,229,668,815,974,961,239,802,459,301,578,383,217,409,223,905,449,777,577,
021,240,692,460,525,920,085,895,857,788,715,043,433,227,124,136,664,019,744,
222,624,942,221,417,291,453,732,304,933,323,734,789,284,618,058,952,528,258,
032,865,033,784,125,971,338,209,492,038,328,023,073,615,903,373,685,349,365,
301,769,670,619,601,834,816,361,817,366,839,113,970,375,749,752,187,898,395,
485,644,964,574,016,361,798,151,608,481,678,283,468,657,454,748,316,204,096,
778,233,314,896,718,863,774,761,869,655,676,901,141,945,133,497,983,280,905,
119,537,215,480,015,477,126,390,345,748,880,198,636,277,727,538,899,051,949,
289,403,094,305,356,141,650,280,493,685,476,668,278,224,117,345,239,021,715,
429,571,170,359,073,206,078,050,984,658,345,853,835,480,370,113,330,280,425,
664,628,006,726,629,772,611,729,265,813,575,231,901,463,156,730,356,120,820,
183,328,491,112,790,223,746,543,850,979,103,545,876,458,459,140,404,877,390,
097,862,776,246,399,175,062,795,058,206,513,346,977,403,890,470,252,502,820,
261,554,345,109,796,974,491,106,015,295,793,487,258,918,356,062,678,285,233,
990,261,932,418,550,700,253,086,957,919,434,466,693,597,720,861,854,280,278,
966,167,973,016,226,802,136,902,176,927,449,224,638,202,291,515,392,441,856,
866,334,947,947,202,502,811,831,795,106,807,926,992,005,161,962,388,086,810,
662,448,202,980,506,794,400,593,079,950,146,708,381,962,142,362,475,176,844,
863,526,520,077,725,651,928,466,010,968,421,189,966,979,946,595,840,445,513,
860,249,797,604,328,232,519,030,619,696,951,102,957,227,351,060,972,676,944,
088,078,911,846,357,080,465,398,803,525,659,023,931,438,731,420,659,265,631,
466,752,668,444,290,734,145,062,493,618,450,921,523,704,277,453,850,475,068,
475,413,531,133,345,415,539,027,834,682,766,406,403,382,144,062,090,962,323,
873,389,193,958,377,474,117,717,123,731,990,513,569,775,604,968,046,297,320,
193,670,522,461,401,983,102,818,420,855,267,089,986,435,709,084,981,511,097,
093,831,843,828,527,542,279,013,193,494,464,760,113,152,143,980,348,985,200,
085,468,896,474,513,098,753,916,126,332,463,479,426,629,993,540,633,132,038,
711,286,418,589,059,289,566,316,466,694,280,209,073,549,788,604,284,868,379,
233,896,724,095,618,413,855,743,238,961,157,808,387,575,012,281,259,625,625,
945,995,276,728,722,796,174,703,570,170,696,486,647,540,490,634,070,911,872,
834,313,347,525,564,123,427,044,884,540,878,903,847,255,800,161,867,369,057,
274,311,609,009,525,652,616,547,878,765,434,890,975,289,702,569,770,781,861,
432,640,706,105,127,673,153,297,100,966,623,977,458,855,462,805,723,422,189,
111,063,839,255,458,098,411,519,061,028,778,588,501,944,682,389,253,349,269,
864,469,539,605,479,330,320,210,077,379,016,806,890,775,780,424,367,888,411,
720,341,053,672,875,892,421,906,999,209,751,297,833,919,558,519,151,804,853,
279,996,645,033,634,568,439,560,958,573,736,929,897,418,176,481,252,191,600,
823,062,078,810,491,119,402,086,210,416,019,303,743,599,856,737,471,048,234,
680,542,385,096,276,029,353,664,042,733,393,120,176,430,192,564,749,958,069,
645,439,290,058,888,988,908,609,425,084,781,382,992,894,988,133,961,767,887,
384,816,142,340,299,137,202,819,283,824,903,288,761,673,377,305,993,671,872,
896,915,069,258,709,970,401,909,660,620,894,020,401,579,995,851,978,602,513,
637,977,917,465,709,052,859,960,915,834,505,635,843,680,794,087,088,163,741,
267,078,678,389,765,717,889,461,070,259,291,863,543,071,531,141,121,646,076,
309,636,070,672,400,659,112,626,274,766,826,428,004,073,016,821,685,746,765,
258,839,399,473,955,312,672,032,469,012,531,352,945,793,521,470,567,249,919,
288,298,373,771,004,511,873,876,169,980,712,029,042,640,926,547,448,176,978,
594,152,242,402,927,706,867,161,769,465,687,511,651,145,759,361,448,232,464,
889,003,834,093,572,321,263,918,275,688,711,819,216,249,594,635,181,239,357,
053,029,439,794,499,640,584,156,170,322,951,615,560,357,123,394,318,679,999,
792,166,533,245,955,369,166,850,143,850,824,083,842,725,655,972,946,060,083,
198,712,598,030,961,532,452,794,065,877,523,947,154,761,184,333,664,065,523,
359,671,177,605,531,024,960,771,557,198,531,591,070,668,512,433,680,529,560,
098,926,933,251,710,956,095,868,003,543,128,428,538,188,913,677,534,239,817,
355,358,840,487,596,469,749,087,247,333,111,248,592,663,577,197,429,241,963,
375,629,848,052,672,523,497,423,302,903,843,491,639,828,115,065,104,775,176,
983,045,518,077,173,664,673,413,571,867,430,994,362,878,439,189,042,067,441,
099,845,550,486,674,523,426,364,531,162,373,789,090,661,807,482,361,477,164,
467,657,276,335,019,973,554,966,259,601,656,697,853,019,086,238,111,310,371,
506,877,232,214,357,747,929,881,196,230,576,201,451,634,091,304,604,945,858,
397,762,838,898,594,337,159,904,017,558,001,497,546,814,168,570,656,422,503,
261,158,716,217,491,434,374,763,556,693,458,963,991,532,841,547,608,616,724,
520,151,764,418,928,861,011,609,844,422,406,686,553,149,372,035,460,982,040,
868,060,778,096,058,041,881,646,834,959,293,150,119,302,114,205,109,838,669,
872,712,203,557,987,076,036,304,979,388,341,162,307,829,378,373,013,366,314,
592,979,171,353,730,183,874,662,753,250,802,579,814,441,443,133,291,845,850,
824,332,502,225,058,060,281,016,244,626,838,483,511,730,211,129,442,007,601,
491,960,442,438,744,693,644,840,343,932,289,795,831,892,469,178,938,123,875,
550,121,439,652,444,868,016,035,527,606,257,612,286,271,058,777,370,286,726,
110,369,869,803,008,496,683,784,057,157,652,505,227,425,825,150,347,631,021,
300,319,346,080,027,581,868,848,012,561,702,984,476,726,763,924,985,716,732,
022,819,222,364,245,120,898,782,233,522,235,735,978,561,128,692,263,837,723,
901,424,832,088,154,517,783,332,229,586,388,979,236,522,699,978,631,426,951,
292,863,033,787,814,069,631,715,928,175,126,523,197,352,200,105,301,011,519,
570,122,649,079,428,629,583,390,264,545,740,633,565,634,394,172,130,001,301,
590,443,066,639,853,842,341,931,003,721,137,773,208,616,768,583,812,773,256,
973,441,240,373,179,093,628,703,118,292,905,902,707,701,888,666,307,378,265,
730,081,598,365,307,373,575,615,042,726,174,073,073,490,200,187,870,034,374,
239,640,727,920,139,869,247,614,165,639,754,366,121,491,068,651,246,890,240,
290,951,109,793,530,347,139,632,500,785,247,721,940,194,654,248,839,489,330,
507,933,201,895,926,436,408,161,093,222,891,994,084,188,584,919,142,084,077,
833,951,197,742,094,592,798,243,461,526,562,779,584,959,295,212,327,591,082,
533,243,987,794,656,989,169,065,302,744,155,321,079,037,838,009,470,464,265,
704,134,962,487,516,134,681,944,070,279,641,042,711,478,900,093,735,143,290,
710,258,651,583,184,598,098,593,948,495,549,360,826,466,070,811,195,512,509,
152,667,667,736,736,888,001,039,548,015,495,114,489,295,765,427,886,618,645,
996,492,632,143,218,267,386,918,652,636,824,643,363,618,237,119,579,406,264,
990,878,846,854,321,125,595,576,310,317,660,841,084,925,869,266,246,273,346,
004,565,223,563,078,795,545,680,215,624,852,256,624,078,210,061,862,370,419,
292,277,184,992,686,581,597,907,446,698,114,900,162,452,220,623,836,300,191,
351,110,875,697,285,519,310,812,736,058,225,016,138,713,097,698,323,017,211,
173,477,590,552,942,474,524,548,997,254,621,393,258,586,432,134,758,529,220,
370,612,528,800,620,431,768,151,383,200,594,313,108,885,738,113,571,733,403,
765,734,518,389,792,378,232,096,148,158,311,350,210,880,904,755,526,306,309,
574,124,872,545,160,213,081,227,333,449,371,890,996,255,062,575,316,399,390,
546,752,556,555,326,149,590,920,206,122,585,828,709,163,755,407,226,993,330,
961,749,362,481,137,690,118,595,537,804,303,843,737,252,162,112,598,480,635,
920,209,043,346,491,921,529,573,079,080,800,270,636,983,635,754,346,588,831,
917,093,265,524,906,441,719,187,873,192,762,052,607,523,139,404,170,104,371,
078,128,406,521,842,087,750,521,153,354,425,031,170,067,932,466,042,383,109,
306,065,553,288,935,667,232,881,994,920,179,451,472,071,389,854,359,179,868,
096,638,305,630,832,085,084,087,990,165,663,413,753,938,487,954,249,860,248,
682,471,826,792,878,413,102,007,821,845,852,306,601,197,510,979,841,653,810,
552,775,551,977,347,148,770,743,501,336,811,936,879,510,348,323,063,164,088,
192,650,179,487,243,036,806,026,432,207,756,901,355,372,846,715,210,332,545,
943,526,158,590,945,496,661,646,001,105,299,899,652,826,064,561,254,729,338,
461,269,433,293,717,525,795,858,447,500,530,336,766,461,206,192,492,726,887,
348,264,675,281,725,319,250,988,642,299,605,264,421,777,321,774,790,880,689,
086,788,925,637,213,350,829,714,177,351,164,062,656,637,088,272,660,869,151,
584,160,955,507,565,035,998,156,395,545,425,002,230,370,543,935,531,561,800,
651,076,029,372,761,221,810,191,593,432,170,846,542,209,361,061,878,599,585,
617,543,816,318,750,770,524,832,042,620,180,299,050,551,728,200,591,443,158,
731,365,011,202,146,051,262,324,699,121,275,055,907,484,300,073,244,997,011,
099,112,886,836,978,385,486,536,787,017,674,605,813,584,780,435,003,858,762,
925,643,374,911,252,982,522,022,473,400,373,285,027,840,489,970,160,155,690,
891,024,298,862,636,032,916,041,261,239,870,818,475,848,302,914,888,608,219,
201,556,966,855,531,391,766,931,171,393,439,837,149,250,462,014,092,043,934,
186,190,102,455,415,905,934,058,226,697,395,355,200,030,153,411,742,317,950,
631,675,107,180,384,425,440,563,433,326,366,411,170,261,137,015,579,896,620,
781,831,965,061,367,103,634,581,215,006,547,320,512,223,828,216,404,857,794,
339,816,303,742,592,052,124,188,303,772,637,178,563,648,865,674,310,614,738,
660,933,652,105,620,283,022,206,868,146,379,597,799,259,258,197,140,998,761,
716,297,417,485,509,095,551,200,242,169,855,634,030,167,696,625,614,611,695,
606,853,712,893,118,770,341,971,807,471,944,666,613,707,934,095,162,973,308,
882,139,546,938,427,453,055,916,830,952,038,936,423,557,924,475,853,402,289,
674,588,371,092,571,870,680,819,394,894,577,934,633,214,886,118,173,995,022,
942,893,485,136,998,395,477,697,632,713,284,320,189,125,178,717,622,117,068,
169,634,552,895,154,572,101,785,766,787,149,800,247,539,232,429,275,883,325,
422,022,250,358,456,613,015,595,390,439,796,462,778,069,737,575,638,335,616,
329,590,906,329,921,265,375,565,534,328,811,799,200,912,941,354,832,778,350,
747,924,112,816,111,586,907,762,881,786,793,852,291,887,798,003,641,866,387,
606,298,068,890,866,520,336,763,703,367,627,695,205,286,786,621,644,480,369,
962,174,943,697,199,522,611,653,060,642,239,688,454,930,083,344,453,735,235,
092,290,537,695,165,093,642,379,739,105,504,446,457,659,175,475,483,214,909,
832,637,860,866,975,210,059,952,309,198,829,664,065,579,877,272,469,047,307,
125,040,635,445,373,909,771,567,615,891,898,489,299,883,424,249,682,525,888,
879,935,964,339,980,319,960,103,746,219,070,888,375,277,004,654,628,934,374,
400,565,191,639,991,269,491,311,959,414,475,410,749,013,085,189,619,239,175,
805,889,483,831,497,345,750,340,481,747,708,669,887,920,126,793,188,468,594,
978,076,360,947,180,384,358,727,044,030,510,074,751,204,726,799,867,548,050,
839,287,335,045,195,108,533,578,864,756,534,687,147,937,049,955,292,381,819,
488,028,100,436,001,050,960,368,676,380,392,009,030,660,478,427,427,211,057,
849,470,520,523,412,157,716,974,792,515,204,308,759,469,531,167,354,961,283,
091,698,803,574,303,591,329,172,144,755,675,176,318,403,271,660,030,847,925,
848,342,445,018,826,004,171,459,203,471,882,756,607,145,859,506,532,722,615,
978,439,875,491,121,955,123,391,727,442,427,756,136,975,632,990,775,649,750,
363,335,612,034,869,893,264,369,975,973,732,951,879,765,494,543,730,786,203,
016,204,885,809,499,093,814,576,528,548,205,461,429,792,323,862,294,192,131,
644,252,184,759,472,396,875,105,709,606,726,281,701,534,510,159,253,197,292,
950,743,558,086,553,987,698,598,471,598,820,619,234,786,459,942,372,807,793,
936,678,881,054,339,684,691,862,992,433,010,113,778,799,199,992,359,901,388,
203,517,125,939,141,183,477,942,010,500,654,984,694,125,294,884,285,155,633,
443,551,612,919,344,875,790,498,438,980,200,063,119,101,844,553,302,852,303,
871,455,551,029,573,802,295,117,352,824,501,672,019,182,966,271,080,058,609,
985,747,103,889,635,877,290,635,894,793,497,239,900,123,532,282,041,642,790,
136,968,229,053,223,561,090,366,781,486,560,196,475,226,741,258,017,572,686,
295,932,464,388,377,790,445,827,762,543,713,854,256,760,433,414,778,947,719,
137,549,659,281,276,748,989,271,237,686,550,319,801,787,255,325,052,513,142,
530,026,111,040,203,385,245,068,796,738,445,705,849,081,727,344,467,744,078,
595,880,704,521,959,150,232,238,663,241,242,490,088,247,174,130,067,095,211,
202,561,508,947,428,198,890,499,547,305,433,412,532,728,878,455,567,069,035,
299,477,361,863,671,559,807,429,952,722,670,656,718,228,536,322,769,256,119,
382,850,295,289,903,480,478,824,463,914,185,706,007,904,303,512,893,874,046,
944,669,946,019,579,330,914,984,510,774,497,874,055,221,834,574,924,461,292,
763,087,032,581,162,322,535,496,746,373,387,018,706,408,039,048,135,025,524,
411,604,830,444,716,371,758,841,094,095,368,122,565,152,649,682,692,856,092,
324,368,145,140,567,989,857,710,819,808,826,016,544,274,232,357,210,892,032,
774,740,551,285,915,361,988,131,685,609,273,248,774,718,495,867,794,077,860,
915,120,094,861,814,517,389,907,734,512,421,276,675,910,376,828,870,793,535,
188,662,018,447,495,230,653,186,430,077,180,230,233,642,235,459,983,986,542,
253,859,806,831,444,912,181,080,230,711,556,669,015,798,311,214,488,980,390,
493,273,174,451,384,394,814,754,955,743,248,633,724,254,367,714,129,303,867,
724,108,336,816,299,896,175,143,020,738,873,921,910,328,479,963,861,532,202,
531,455,937,920,636,495,533,996,012,886,888,324,304,381,807,869,768,982,199,
874,555,636,610,490,158,460,620,447,414,591,591,454,513,486,265,562,249,486,
801,656,219,770,015,985,058,460,509,541,997,081,239,805,978,320,268,197,231,
431,544,312,101,510,253,639,975,856,723,383,065,478,791,549,523,336,930,551,
072,726,343,047,824,138,785,249,140,044,715,539,009,437,746,845,513,361,351,
047,429,055,973,644,680,643,149,236,796,190,866,222,581,384,264,429,020,876,
870,137,572,853,254,240,875,740,033,349,574,315,048,119,466,721,524,475,116,
440,594,875,026,658,830,823,073,857,523,344,569,343,954,050,142,941,026,123,
860,699,787,730,476,329,916,441,968,591,996,097,925,481,153,598,135,182,958,
714,827,231,553,439,593,388,530,222,521,107,530,337,158,243,556,759,640,471,
031,967,081,763,916,458,153,246,394,192,154,677,857,821,554,604,833,181,586,
545,646,528,700,542,332,623,124,529,988,782,092,802,124,329,007,938,836,341,
201,112,569,885,477,834,144,146,299,901,375,910,054,592,470,714,032,492,815,
753,931,067,900,904,390,828,434,917,744,186,789,340,231,984,081,950,175,043,
907,364,468,724,182,160,030,267,219,324,637,976,459,472,581,877,626,944,066,
393,791,171,153,423,339,544,460,826,318,355,770,779,620,654,134,892,493,356,
103,698,520,644,340,583,479,387,708,625,673,598,724,532,022,075,557,871,018,
646,190,803,082,370,586,844,991,687,795,384,776,787,894,677,383,045,509,426,
569,980,500,697,764,751,437,449,947,834,697,134,050,275,964,563,495,286,465,
301,156,593,643,484,775,856,565,716,133,019,080,702,667,345,224,067,112,176,
661,555,478,303,099,385,875,044,554,049,762,892,642,983,641,128,698,305,736,
901,264,231,763,789,563,134,679,055,007,352,031,106,219,018,996,968,781,996,
213,078,570,039,539,138,437,093,566,872,105,711,974,162,504,846,555,486,214,
995,727,153,936,165,980,878,473,933,610,023,269,537,922,024,081,792,114,362,
333,331,852,313,704,832,670,506,597,064,262,002,262,680,900,607,428,011,621,
449,169,979,639,607,468,243,674,565,262,418,725,534,202,998,652,454,635,811,
501,239,435,237,311,735,174,502,854,136,489,336,548,537,882,612,061,816,100,
100,277,762,243,784,328,951,495,850,313,296,589,186,318,348,554,395,389,404,
949,308,234,650,275,600,502,933,856,047,789,580,103,115,583,577,216,376,910,
950,444,430,267,082,106,257,982,535,021,364,085,619,142,959,981,087,950,033,
775,047,504,842,909,361,574,317,311,358,805,592,588,197,623,178,574,912,705,
837,303,875,197,968,493,991,100,343,044,590,087,144,719,139,949,129,455,756,
525,147,968,079,829,616,191,542,642,739,512,269,337,750,182,800,930,038,943,
069,312,332,224,578,483,086,463,406,013,106,733,665,362,993,065,204,953,065,
831,755,598,437,873,007,273,973,399,658,228,484,497,695,475,311,887,923,086,
107,271,259,147,970,493,069,189,530,909,346,533,410,047,886,704,546,677,661,
393,909,954,665,618,262,755,626,490,481,363,633,915,835,640,476,850,991,805,
076,194,859,693,830,012,584,334,138,714,244,464,628,516,578,435,227,077,413,
158,357,921,187,494,174,739,659,664,581,390,458,886,667,665,934,583,426,492,
545,858,711,240,112,858,193,151,190,874,949,338,891,139,312,366,233,540,183,
954,597,174,835,116,989,670,496,102,235,226,551,357,112,416,749,655,939,268,
910,583,601,500,113,531,857,433,996,800,496,874,665,468,355,890,989,027,469,
256,578,456,468,568,218,585,518,482,507,478,429,784,378,473,677,936,548,479,
978,595,254,427,972,930,415,333,964,864,015,940,497,754,019,052,560,976,110,
753,817,753,180,562,842,253,580,364,811,312,991,075,549,712,764,313,779,630,
406,884,045,004,684,615,733,082,507,365,070,058,963,024,963,875,106,310,679,
156,888,916,858,442,315,049,310,353,216,646,087,413,878,110,486,895,749,278,
299,278,931,094,861,209,992,657,478,095,945,349,027,399,356,681,727,369,495,
809,504,659,035,653,551,931,527,434,506,562,790,652,982,915,650,326,160,199,
514,367,686,723,929,043,853,737,136,386,190,283,073,046,576,655,376,584,498,
090,255,465,357,365,391,620,630,696,806,965,239,432,024,559,317,522,421,942,
893,421,640,398,390,342,430,781,590,760,973,607,015,842,885,452,451,054,237,
628,428,055,716,150,258,435,758,784,951,077,350,381,015,289,350,701,604,216,
637,598,424,088,710,137,340,067,582,504,916,280,164,678,273,010,534,919,679,
845,734,830,852,294,394,044,280,211,342,865,292,957,322,987,850,735,738,687,
600,667,296,874,242,698,183,568,865,342,493,923,799,263,920,383,100,209,277,
308,449,366,936,979,001,991,610,501,919,014,657,839,097,785,688,163,390,455,
672,723,163,116,196,504,506,967,998,462,402,456,199,616,707,009,265,424,475,
878,635,055,496,478,250,573,351,425,421,484,726,616,495,395,701,886,214,308,
790,060,355,343,743,045,445,182,589,294,959,277,302,324,264,351,217,308,561,
318,957,858,366,968,024,839,400,098,151,286,627,877,642,657,753,367,135,029,
274,917,742,000,998,238,959,006,366,126,108,973,602,542,389,293,397,176,281,
392,048,427,848,419,327,811,113,958,010,499,805,584,232,736,883,322,376,116,
623,250,118,791,814,755,461,983,356,310,855,722,222,128,940,405,147,178,961,
481,277,330,817,473,459,785,364,619,856,172,382,174,194,144,177,714,586,030,
102,129,143,918,019,265,474,170,843,720,391,269,744,513,673,039,309,344,522,
003,751,930,702,175,267,996,908,434,717,354,146,885,602,605,065,218,236,743,
347,100,888,250,308,658,872,279,248,662,169,708,559,810,611,622,721,198,535,
044,587,072,149,480,025,021,845,047,361,760,767,512,508,652,853,156,227,200,
326,614,043,580,110,265,814,604,952,069,794,436,649,487,542,128,000,111,827,
467,690,476,443,694,060,886,919,589,673,333,932,678,910,008,394,231,205,367,
928,510,973,024,058,035,834,367,543,338,203,586,423,397,107,740,886,548,944,
520,855,685,589,298,760,643,886,749,046,804,218,214,688,183,485,967,080,581,
770,592,110,308,389,778,929,197,881,161,501,149,861,152,100,142,468,017,119,
714,811,202,280,631,597,865,163,072,377,117,258,082,913,458,470,572,297,275,
962,527,908,988,421,970,334,360,722,665,621,026,559,862,374,335,333,282,477,
980,745,875,812,739,280,614,591,000,831,901,691,718,908,708,294,263,113,565,
557,800,765,778,209,233,611,008,998,656,270,441,786,270,415,093,363,165,423,
633,421,510,185,555,016,764,604,386,413,503,416,029,170,975,877,950,006,584,
432,092,454,451,645,085,245,061,610,654,181,492,440,889,107,174,737,327,857,
159,223,424,321,720,412,058,377,318,623,267,806,832,118,324,274,625,865,583,
619,905,684,941,595,043,293,939,962,002,056,304,428,273,976,775,299,007,495,
361,486,819,359,718,523,609,984,381,618,965,674,829,423,852,760,939,783,221,
885,594,832,973,813,898,535,121,036,632,631,426,255,123,810,106,268,962,487,
015,039,340,281,303,242,828,867,657,616,439,913,909,544,565,499,540,073,285,
188,600,993,311,874,050,451,512,383,936,218,517,427,730,638,081,434,063,703,
224,318,949,249,952,295,354,463,775,709,759,235,542,936,613,630,564,547,062,
564,668,208,559,126,861,267,285,095,617,642,375,395,624,759,094,144,443,405,
083,130,582,927,095,176,859,364,237,142,065,042,244,575,144,160,162,758,825,
381,055,437,793,627,779,382,348,382,667,076,774,214,415,171,622,974,428,100,
080,228,822,198,559,598,897,895,544,098,217,358,521,072,351,183,290,263,487,
715,061,068,009,800,714,317,868,682,078,354,916,396,429,227,200,883,061,868,
199,436,948,009,782,779,925,492,595,907,124,627,434,209,878,172,998,879,120,
694,607,544,035,389,097,217,488,571,555,832,755,257,256,456,848,203,379,457,
770,297,089,909,167,404,970,067,378,094,520,624,279,017,755,832,304,888,927,
271,075,259,917,140,317,339,022,712,457,771,820,754,300,594,254,111,422,021,
048,182,350,428,298,329,398,062,381,982,804,931,182,455,421,511,171,802,786,
527,830,240,875,553,982,653,981,383,220,524,607,774,040,789,505,734,597,151,
657,788,029,230,880,261,461,911,371,673,253,688,774,396,201,400,686,026,609,
587,129,934,191,291,566,827,953,477,185,378,721,347,735,800,995,651,234,914,
888,977,604,009,384,250,058,403,291,231,181,633,790,001,523,055,633,188,752,
055,478,120,556,048,892,353,704,637,955,395,569,508,117,539,147,954,735,237,
825,825,128,950,587,268,565,351,218,070,094,328,071,632,060,498,314,219,885,
352,244,080,999,470,895,937,346,222,569,682,968,263,973,524,131,398,991,131,
454,926,613,409,776,352,186,643,980,361,940,642,033,694,607,547,163,686,121,
452,700,428,050,361,836,577,013,816,378,679,972,173,847,764,660,194,690,901,
799,754,739,869,753,679,280,917,763,459,449,782,072,262,252,469,082,700,610,
839,242,737,022,980,311,643,583,130,218,088,821,678,908,878,982,962,327,862,
308,867,729,310,229,100,874,180,840,740,883,215,122,799,452,808,208,688,608,
584,796,110,947,552,969,898,864,709,540,911,324,521,732,203,069,806,565,390,
582,694,168,466,645,927,828,541,209,057,423,448,878,844,871,302,449,936,788,
340,151,534,689,757,127,924,754,605,361,645,306,962,599,487,080,852,706,444,
071,008,452,792,096,395,995,906,427,050,863,102,805,875,064,445,289,897,568,
725,891,565,496,478,920,229,479,625,560,812,321,941,678,500,359,279,922,246,
191,791,407,425,403,549,814,822,160,669,287,285,284,830,327,710,850,151,357,
073,477,019,046,425,079,507,602,059,304,750,049,011,113,747,098,350,070,549,
272,553,196,074,933,062,893,843,551,276,694,126,954,285,339,870,519,230,962,
136,099,127,764,612,644,447,133,291,009,289,095,379,384,995,312,347,454,861,
525,730,727,405,156,005,555,433,892,149,307,318,385,479,745,546,457,967,493,
514,293,772,608,716,296,287,118,819,134,997,339,631,022,631,116,352,875,903,
235,794,386,101,713,282,395,836,965,003,673,727,853,812,201,118,177,858,390,
689,577,808,419,526,179,540,668,681,935,431,699,551,881,035,870,878,699,274,
424,574,057,875,046,544,238,994,661,431,726,198,489,733,507,373,196,295,362,
577,755,845,392,074,535,304,216,881,519,380,274,440,263,674,086,798,705,378,
605,009,539,122,549,124,141,917,462,033,705,981,427,214,050,394,999,651,306,
701,681,708,396,303,440,517,293,913,819,057,612,090,194,586,761,727,084,918,
136,758,222,310,727,694,286,184,339,407,287,134,160,159,625,722,930,813,873,
331,712,245,968,788,043,727,172,210,556,186,432,428,021,082,766,116,931,861,
408,048,656,924,985,911,012,748,661,471,529,807,258,045,353,091,016,791,373,
492,412,720,414,791,418,863,515,317,101,097,115,672,892,895,680,908,784,009,
820,704,533,350,169,718,352,325,020,581,964,999,994,864,855,314,821,168,661,
200,322,603,751,554,933,534,229,853,065,016,040,452,706,891,420,875,351,099,
181,156,208,531,271,785,983,602,356,156,377,906,381,836,482,566,166,467,095,
725,606,865,049,141,345,423,984,582,638,925,307,270,173,854,753,222,832,395,
188,744,450,448,750,541,546,980,700,895,790,216,125,764,076,386,186,231,726,
903,866,045,810,427,799,486,534,819,610,252,766,094,641,506,918,676,932,984,
394,563,220,428,219,857,511,651,838,668,346,824,833,062,471,772,320,613,380,
029,851,661,190,388,061,031,623,766,662,040,009,584,869,861,059,424,417,981,
696,959,344,293,586,982,820,820,887,108,782,173,279,751,635,032,043,286,191,
564,705,832,853,241,738,183,231,793,920,539,304,666,000,434,810,126,585,650,
740,964,713,758,624,070,787,499,562,293,627,670,649,219,644,916,258,923,039,
423,510,484,979,028,840,699,648,145,756,002,345,915,311,693,284,734,797,381,
986,502,605,678,637,508,435,126,000,653,891,501,505,555,944,560,722,518,046,
968,023,059,297,117,584,780,040,721,228,428,891,233,346,624,798,096,121,829,
001,410,606,858,184,754,498,249,460,600,412,058,379,929,696,892,516,276,257,
989,472,885,223,817,041,496,850,490,164,199,643,869,245,812,037,888,232,916,
981,872,088,020,672,940,790,530,549,920,828,186,193,146,219,778,302,842,045,
427,870,709,032,196,568,921,990,811,353,418,323,862,166,193,349,029,944,678,
445,939,921,086,499,131,908,779,432,343,802,145,768,581,223,883,390,457,972,
745,034,899,125,840,940,937,706,950,880,499,628,428,287,913,276,769,238,219,
719,982,451,107,724,963,987,564,790,882,115,123,940,462,832,271,889,607,276,
348,418,762,359,202,981,740,270,195,227,103,922,485,143,871,611,276,283,725,
990,920,787,646,862,835,326,510,338,619,536,529,217,635,357,914,015,431,036,
362,632,606,610,851,472,803,266,502,870,431,006,446,317,808,228,537,023,998,
114,890,604,609,434,474,698,362,702,231,389,785,318,542,519,402,777,692,275,
557,623,860,161,242,645,099,558,861,803,227,561,463,497,336,464,877,510,510,
693,724,000,772,440,141,029,789,340,220,040,081,079,207,708,837,302,877,318,
228,335,475,832,009,479,847,777,143,527,784,761,500,732,574,536,348,406,184,
182,821,799,474,083,210,398,491,295,917,761,320,094,018,570,489,493,281,464,
480,906,458,230,992,749,470,136,595,172,698,747,458,179,343,542,464,307,316,
710,738,525,997,839,003,812,672,437,121,707,386,265,468,155,929,490,617,423,
195,289,747,355,354,191,117,565,881,833,151,263,486,046,481,681,030,831,213,
619,143,090,201,746,449,083,237,287,859,251,328,453,014,057,833,902,554,876,
575,662,201,714,409,444,302,979,976,991,917,089,350,021,318,682,284,979,053,
966,553,089,643,162,066,195,447,113,859,003,833,151,676,662,967,862,649,069,
034,696,574,946,616,567,133,970,033,796,427,421,433,959,697,484,037,510,756,
433,915,741,192,370,312,646,328,499,218,540,204,123,013,724,311,467,523,415,
626,190,981,759,020,785,378,403,332,318,434,675,731,506,674,235,407,487,245,
515,379,055,775,507,029,169,950,626,584,134,794,054,214,099,398,368,803,159,
277,501,349,321,563,381,102,127,468,186,206,802,110,563,843,747,524,151,088,
943,720,613,100,039,778,821,867,421,082,516,987,249,299,063,367,107,908,599,
804,028,833,223,594,185,127,082,692,458,457,166,735,757,735,999,565,554,399,
629,239,775,084,452,400,418,620,675,577,645,965,585,210,612,213,967,339,838,
777,023,307,002,262,421,367,383,116,808,386,793,332,585,502,917,875,577,978,
678,332,594,488,515,496,044,164,585,326,360,146,538,531,230,773,132,867,536,
072,142,323,730,789,851,388,197,589,395,231,411,369,602,492,306,485,028,030,
215,834,093,225,643,967,332,518,912,218,299,271,576,680,357,052,887,987,873,
639,230,418,088,799,126,938,701,719,105,319,855,937,855,901,513,959,001,085,
979,168,192,102,807,556,033,355,068,446,936,882,493,726,619,334,024,581,148,
678,559,963,571,053,568,204,948,495,527,814,514,798,618,866,760,222,242,003,
416,485,516,790,395,024,383,850,604,090,950,428,531,425,909,741,305,937,545,
589,070,138,079,223,730,024,938,828,351,751,930,240,320,289,887,365,220,676,
517,053,479,287,468,267,565,232,229,233,165,002,838,336,090,861,895,288,009,
122,293,505,508,050,225,612,508,586,347,761,767,384,241,532,236,672,307,191,
379,695,936,232,308,252,952,351,935,153,283,296,877,628,660,826,440,631,922,
439,908,667,213,867,566,597,336,341,574,110,768,724,712,798,908,784,370,268,
198,504,201,928,119,981,697,847,444,848,874,403,070,775,918,056,406,933,950,
012,599,071,401,092,399,890,088,427,015,479,351,782,453,384,503,013,518,552,
144,514,771,835,383,387,317,845,438,188,433,277,622,265,106,945,230,664,289,
404,039,805,315,098,566,618,797,608,405,830,182,587,982,275,552,019,683,020,
406,154,146,012,718,818,780,753,834,336,291,136,465,367,197,774,218,824,143,
635,815,452,185,297,073,267,071,664,707,571,350,013,636,257,469,259,106,726,
660,620,685,570,023,930,715,219,308,793,328,040,835,857,031,536,615,634,642,
887,484,855,862,692,625,579,567,218,003,379,192,477,178,240,421,702,248,508,
634,549,665,606,168,295,103,204,424,603,219,920,870,771,724,341,208,533,813,
445,641,266,479,092,031,509,957,238,448,280,678,814,484,984,275,355,732,541,
396,947,567,980,462,313,302,318,636,899,743,522,333,722,425,195,365,872,142,
445,814,581,594,077,093,475,404,280,831,397,277,132,202,575,656,305,059,870,
510,087,393,812,166,462,655,589,658,255,720,003,015,246,690,331,045,117,504,
742,607,885,010,019,097,541,242,534,261,718,236,096,831,508,574,806,990,830,
081,238,612,285,606,118,889,676,323,532,293,046,645,932,108,117,487,991,542,
792,316,441,070,234,425,253,991,527,912,335,363,246,166,550,242,063,466,526,
956,719,220,882,783,092,193,246,429,372,461,516,295,556,655,023,998,864,913,
946,235,036,484,790,966,011,687,164,504,178,429,055,098,325,352,808,747,567,
480,574,520,765,419,810,162,048,543,424,559,262,142,831,964,005,848,023,628,
755,648,791,944,059,708,460,377,846,975,157,794,336,589,923,493,533,331,214,
491,729,803,547,771,279,182,176,461,097,909,377,145,885,844,135,015,517,405,
684,836,150,932,034,657,877,959,629,033,071,838,144,452,828,169,640,311,565,
076,204,568,378,627,295,135,177,603,055,548,480,763,987,063,133,691,180,214,
682,939,589,272,067,206,898,467,079,288,563,818,720,172,211,642,399,083,191,
412,582,576,554,111,749,541,015,205,227,367,480,753,585,257,704,212,334,479,
817,525,639,910,668,339,609,843,777,539,104,281,242,911,405,657,640,565,697,
583,521,255,490,490,069,195,455,922,368,138,615,629,815,571,924,606,439,573,
929,909,732,774,587,635,499,630,495,836,063,244,912,830,789,028,568,774,863,
082,397,360,250,566,699,153,276,634,576,633,808,044,451,872,312,467,558,706,
934,183,590,966,929,285,357,544,401,760,283,208,088,917,102,421,833,449,311,
760,085,621,229,864,294,368,694,683,722,732,181,256,619,397,941,651,773,579,
533,796,217,666,933,432,066,459,498,601,532,606,776,910,207,713,171,264,049,
472,562,306,520,282,564,503,639,696,365,661,244,779,978,653,010,473,895,624,
467,990,312,401,606,488,376,863,242,635,284,326,370,097,719,499,313,605,579,
451,625,714,753,826,724,928,995,867,961,512,043,887,726,468,916,122,328,178,
034,896,288,507,040,795,346,384,892,262,173,353,128,881,302,412,460,640,206,
984,499,587,532,429,017,331,205,243,539,562,589,148,196,426,896,979,974,340,
180,563,284,156,299,168,128,523,493,194,499,873,768,651,828,272,372,242,956,
028,274,240,948,763,999,777,222,030,927,789,220,632,132,548,210,015,281,501,
112,238,266,373,658,219,419,976,840,467,172,364,525,653,230,336,557,999,951,
674,999,094,316,447,867,297,948,582,939,896,544,119,490,201,033,817,996,533,
076,476,119,515,638,408,561,155,780,756,318,333,207,881,842,566,286,689,753,
253,351,528,097,142,654,973,608,771,198,465,555,340,559,160,482,566,032,045,
124,417,660,018,296,534,593,721,980,301,968,764,407,606,108,884,555,483,875,
388,610,772,519,140,574,724,702,086,635,383,590,505,604,476,097,819,799,989,
300,384,264,676,901,160,861,672,085,912,397,400,867,869,180,979,464,666,769,
846,561,746,340,965,043,814,161,100,444,272,566,567,780,763,867,914,656,369,
757,787,840,127,878,947,803,484,863,279,778,882,018,662,535,150,415,189,648,
122,540,323,664,448,247,085,486,601,527,047,168,160,860,905,536,406,784,026,
801,443,435,993,304,540,137,470,456,077,241,267,971,272,314,965,838,806,710,
649,304,265,527,760,735,049,695,897,395,428,556,773,796,492,729,093,544,331,
035,088,037,525,362,496,180,002,162,654,324,903,857,260,316,309,180,956,922,
324,801,748,117,339,803,813,929,995,476,624,343,277,841,333,521,448,586,497,
094,106,887,222,780,614,055,713,467,632,641,370,910,066,045,048,745,509,878,
862,426,712,787,635,161,683,361,053,850,460,980,363,878,314,531,970,266,262,
856,487,725,630,467,213,520,603,722,206,166,983,063,268,196,755,707,483,800,
811,473,711,916,706,407,745,758,937,342,382,215,616,640,858,521,987,041,835,
276,858,623,782,451,138,528,947,858,750,338,444,302,412,552,002,352,081,523,
568,862,633,326,920,349,422,407,986,630,749,304,918,605,719,597,223,775,033,
177,499,372,643,432,384,331,487,929,639,713,691,831,487,024,169,097,819,844,
207,380,474,877,046,652,988,303,622,358,162,342,349,864,709,324,776,607,086,
138,247,008,909,862,433,922,909,443,611,256,956,423,493,602,739,802,980,146,
791,109,895,723,148,798,980,722,832,122,626,844,348,292,212,517,022,822,583,
882,079,599,028,823,176,376,168,936,674,451,467,154,607,395,225,488,827,742,
456,790,662,146,942,032,349,632,572,046,197,322,295,594,709,021,722,622,565,
692,588,305,580,804,678,624,106,379,427,379,484,523,450,242,343,272,992,980,
524,390,911,515,357,236,396,237,794,573,087,412,311,055,116,939,930,349,460,
393,034,192,565,562,411,295,610,962,782,011,231,819,041,459,563,515,829,065,
692,947,464,317,301,462,977,049,408,733,561,915,039,384,230,642,281,978,441,
661,172,248,613,395,340,240,730,831,436,177,611,441,933,849,011,492,091,173,
595,103,660,104,015,523,995,284,869,503,681,004,274,117,002,682,691,506,833,
742,475,500,252,926,196,835,644,813,486,077,949,011,265,450,708,772,920,718,
448,415,551,105,045,355,425,477,688,942,397,915,440,126,158,307,738,712,193,
336,491,095,974,329,095,047,604,141,087,270,433,078,911,963,251,401,967,615,
569,733,275,808,299,771,941,466,021,395,271,790,495,209,566,194,782,884,621,
696,458,082,156,177,858,612,797,737,209,302,040,274,115,759,889,523,549,463,
856,180,896,571,974,290,985,440,266,188,362,258,539,055,362,293,557,929,994,
985,735,533,273,013,212,912,641,487,564,299,448,343,668,465,623,205,558,182,
420,377,372,630,738,230,808,131,760,145,136,191,193,332,827,763,012,199,369,
276,237,571,756,031,188,816,719,401,366,568,214,885,071,280,643,810,673,459,
509,139,819,519,857,035,193,119,071,245,749,242,251,945,512,967,129,233,206,
630,673,861,640,696,114,557,722,858,744,658,208,908,056,110,399,745,086,199,
030,809,469,742,827,861,471,477,682,394,630,186,929,807,771,335,691,490,191,
752,674,718,437,520,457,111,980,127,249,589,670,066,541,895,627,155,115,038,
074,306,521,385,782,071,690,108,655,740,285,305,525,468,375,007,032,045,861,
648,249,791,855,334,569,752,015,287,752,930,251,603,093,457,824,522,859,542,
476,259,461,285,706,457,579,505,372,763,388,197,074,431,720,433,167,946,667,
553,805,842,037,442,242,921,085,187,167,903,845,529,429,769,138,015,802,281,
992,827,769,835,332,360,662,202,414,981,253,621,704,037,974,541,546,333,000,
644,160,622,958,422,690,105,924,816,261,220,751,697,504,184,409,518,340,765,
249,192,524,975,339,554,115,136,250,188,497,125,378,927,740,391,690,981,499,
753,026,570,839,688,927,162,923,564,367,692,098,872,555,047,351,669,045,177,
083,243,078,399,605,166,767,617,333,311,739,957,436,857,202,384,089,360,173,
552,617,950,563,508,708,204,328,796,324,902,073,570,362,622,516,873,620,405,
696,668,697,468,999,436,354,934,420,462,628,650,262,882,586,187,244,689,594,
690,294,888,682,228,317,338,866,326,144,397,936,337,601,993,346,221,356,298,
898,888,742,932,536,649,832,913,456,203,480,556,207,135,688,254,076,279,957,
594,842,731,188,170,416,983,989,008,843,113,841,349,047,742,070,072,979,936,
425,507,192,164,449,863,439,759,596,139,640,722,413,084,843,630,633,230,492,
972,917,850,964,513,671,149,916,383,202,924,671,843,386,289,022,524,489,605,
263,393,446,314,262,753,430,469,479,662,289,221,241,577,104,291,138,184,867,
301,195,982,457,004,156,040,216,501,365,102,460,561,010,768,627,504,651,051,
420,801,637,454,956,200,079,430,995,552,265,550,978,121,027,758,791,177,552,
521,323,621,249,756,461,084,978,309,577,607,823,601,380,943,336,728,605,821,
753,696,310,902,559,270,953,488,629,416,471,311,227,212,952,188,673,512,633,
051,758,893,192,547,795,733,537,200,820,341,119,226,513,856,095,308,780,251,
744,226,999,098,875,070,510,869,889,046,053,474,023,997,103,869,288,567,146,
853,343,720,488,041,973,187,581,366,483,385,212,331,207,829,038,277,167,800,
081,178,375,289,393,017,930,914,185,974,513,270,478,820,349,593,037,436,620,
680,556,866,371,211,008,230,883,372,527,126,117,981,002,406,394,691,366,888,
088,793,861,517,894,167,014,340,954,371,019,436,685,303,842,373,610,949,793,
839,373,216,508,104,502,944,866,126,502,693,839,957,433,470,425,931,623,231,
141,185,913,452,032,098,094,692,994,411,386,457,462,564,566,972,761,355,867,
849,901,738,338,499,928,690,754,855,021,952,614,483,116,474,538,538,777,409,
088,174,250,465,608,996,125,454,362,041,390,809,536,788,706,038,073,070,459,
066,332,044,718,004,989,473,862,982,983,961,812,273,584,743,463,693,221,864,
268,451,618,685,380,338,204,050,469,265,471,625,335,614,195,361,263,135,433,
737,001,441,727,693,883,742,350,801,001,216,848,644,762,598,098,365,814,844,
264,238,507,697,935,323,121,484,870,607,020,578,774,277,836,852,252,188,186,
886,215,911,667,163,394,283,832,775,524,984,715,994,803,456,111,317,924,361,
067,050,576,733,617,107,981,796,937,707,260,408,645,848,504,907,559,187,971,
722,308,265,782,149,954,479,452,297,334,176,782,294,653,259,221,243,674,971,
378,957,552,567,738,393,492,564,563,015,671,419,769,811,009,670,956,902,196,
903,167,520,952,131,495,099,692,960,659,323,226,694,184,475,795,714,587,854,
482,213,126,172,878,247,430,467,874,703,054,399,413,933,955,331,325,311,613,
112,977,324,320,889,604,477,693,627,195,027,060,726,725,527,509,393,735,139,
909,677,422,038,805,919,339,233,014,892,671,608,405,963,146,730,759,014,078,
104,290,684,077,084,981,565,114,081,966,180,125,504,262,121,306,168,761,755,
134,917,060,076,387,189,674,396,820,575,296,410,482,414,233,375,975,472,877,
790,396,811,710,566,199,866,014,497,294,202,709,292,451,825,171,116,476,216,
049,669,926,611,338,692,974,376,427,652,643,478,649,572,576,656,273,300,338,
010,832,602,234,057,612,632,605,743,726,772,162,614,897,018,032,420,610,770,
239,052,117,755,086,106,268,330,447,262,554,252,998,876,909,935,511,716,950,
304,072,513,427,924,508,214,016,995,285,130,810,298,564,137,842,846,916,359,
254,748,463,916,795,227,999,257,836,951,293,518,330,168,012,735,119,614,549,
840,167,894,632,143,059,151,592,048,223,905,936,083,078,804,660,399,580,405,
199,565,320,878,031,968,879,840,214,268,290,099,839,319,155,354,554,663,335,
008,907,673,137,281,970,175,998,839,316,559,078,597,901,666,044,610,054,493,
944,438,067,381,475,521,757,483,775,114,427,750,961,791,018,000,679,126,208,
179,211,529,192,626,581,120,507,731,517,080,649,882,433,263,809,451,573,889,
765,524,166,027,361,351,277,779,136,618,502,862,086,581,065,591,334,619,500,
948,473,244,448,741,706,906,725,175,379,993,508,840,590,791,813,629,257,640,
269,859,036,356,457,686,379,528,689,920,159,616,137,623,483,020,051,013,801,
258,804,893,781,336,073,967,624,996,735,212,274,315,671,621,440,057,288,803,
451,586,576,988,756,213,751,010,469,592,697,076,365,079,330,326,478,659,905,
034,946,954,140,475,246,903,327,619,902,070,267,710,917,734,627,860,059,549,
503,103,692,629,099,828,369,410,277,814,575,493,599,067,087,376,085,967,891,
434,495,688,259,433,281,292,108,299,980,534,193,535,281,372,494,663,331,006,
192,006,559,722,433,128,911,770,217,126,805,804,259,217,745,540,947,029,766,
588,523,702,833,206,172,266,180,509,040,260,255,694,392,576,182,080,222,823,
339,122,314,248,607,253,926,983,212,723,137,407,170,808,019,662,062,340,267,
073,049,150,587,293,129,809,313,968,466,689,792,378,726,561,464,022,489,453,
780,866,064,336,998,320,264,112,715,505,238,515,793,205,351,625,063,662,312,
649,498,092,007,219,694,336,107,592,976,939,729,967,564,364,523,086,497,540,
827,378,617,205,811,150,373,293,643,204,112,344,637,391,672,920,395,745,413,
593,392,452,486,120,762,172,491,353,467,704,782,094,802,600,555,815,501,880,
756,157,020,307,025,146,869,885,529,282,354,489,336,221,651,068,011,303,486,
863,134,852,364,194,094,625,693,380,761,633,281,267,464,812,901,013,904,609,
509,652,525,068,632,668,478,182,974,230,741,213,307,980,021,378,913,009,825,
333,242,354,285,245,620,844,015,649,057,318,323,330,321,625,585,405,249,400,
741,993,050,943,564,291,602,984,031,107,220,953,171,229,600,584,855,819,289,
916,718,961,019,505,958,854,538,070,727,264,018,398,170,892,399,129,600,969,
123,292,917,428,479,273,784,437,569,519,546,025,187,380,829,862,831,937,655,
317,540,420,251,205,417,214,745,487,764,618,814,865,137,972,166,237,494,995,
625,650,900,637,283,588,010,002,154,298,845,249,653,875,518,107,898,028,337,
959,574,586,628,008,771,485,749,507,974,535,578,194,559,770,389,169,625,067,
165,780,632,518,621,929,989,247,551,842,571,628,581,217,126,913,732,702,937,
057,717,182,406,836,340,254,832,021,340,272,935,722,339,309,491,099,904,682,
779,181,046,304,721,964,484,215,749,409,948,079,012,968,135,750,658,882,104,
380,412,694,780,798,988,730,726,580,482,417,431,980,581,058,865,880,774,513,
853,458,063,464,215,743,983,058,802,173,168,412,571,667,453,488,547,591,314,
706,941,506,623,843,350,653,796,310,271,114,937,320,178,219,590,882,526,379,
351,366,266,818,780,214,691,224,022,940,948,879,302,246,300,683,809,696,547,
055,534,115,134,228,382,116,956,315,151,599,030,517,429,092,492,718,017,096,
255,097,694,639,863,165,423,794,186,031,048,953,187,592,446,006,337,060,025,
343,415,368,374,038,568,507,125,314,197,062,829,814,459,317,997,967,715,937,
753,771,252,490,020,670,605,359,645,755,152,122,594,817,487,261,705,417,222,
624,793,590,354,469,559,662,457,748,477,797,756,750,226,023,906,470,904,260,
274,920,422,596,329,822,044,881,773,417,194,993,683,584,034,745,147,454,538,
702,749,827,410,568,749,122,402,698,860,736,644,440,196,337,744,469,085,583,
780,099,102,047,710,105,943,412,371,664,508,082,768,711,819,690,307,655,669,
859,173,215,825,532,320,780,834,458,617,196,849,852,800,582,846,526,159,722,
320,101,336,782,145,695,197,263,713,294,620,162,053,307,522,696,214,014,443,
441,292,753,627,220,268,770,179,575,540,185,988,249,711,145,578,569,452,169,
719,915,433,869,365,914,107,051,737,877,081,542,283,503,409,860,707,571,886,
983,599,018,089,309,437,101,439,995,387,178,141,123,294,002,583,446,383,642,
734,231,316,544,633,393,183,002,028,246,704,783,446,558,823,941,028,961,846,
868,488,139,328,627,635,967,429,730,280,868,646,787,185,151,320,827,557,250,
316,800,559,526,576,375,412,688,656,457,878,273,584,325,987,477,428,054,859,
276,873,207,116,125,917,238,726,590,259,777,551,653,523,410,009,896,363,662,
185,215,933,747,718,569,360,247,183,075,638,098,883,282,247,824,284,030,684,
494,893,795,920,078,425,405,071,793,832,930,121,591,223,264,736,349,879,999,
620,244,163,392,277,423,268,572,938,704,503,765,650,096,006,599,548,517,435,
918,496,906,932,363,526,559,882,057,229,620,772,505,179,918,108,842,326,271,
919,292,230,586,438,671,840,926,891,133,902,358,163,086,740,327,784,251,263,
564,949,847,101,944,125,307,159,293,071,405,588,751,794,303,136,820,538,843,
096,485,996,965,604,423,228,535,872,205,115,575,819,534,647,943,020,236,258,
867,078,774,483,481,557,193,597,290,252,600,457,212,970,574,857,719,006,362,
491,659,263,657,159,499,827,276,148,959,925,365,777,272,436,271,394,743,530,
075,362,953,151,882,657,988,571,616,232,043,424,335,113,715,888,075,924,008,
758,689,014,173,161,525,468,860,229,836,803,228,557,744,364,629,129,035,793,
086,428,516,568,640,322,340,357,199,639,016,336,951,770,930,320,607,272,132,
311,502,463,399,223,405,971,197,693,741,614,315,116,116,827,753,416,211,292,
850,246,715,891,284,374,392,103,479,506,737,005,256,384,174,421,332,262,034,
648,361,436,170,458,455,492,019,214,577,618,281,495,645,893,600,777,128,993,
056,009,437,052,240,417,243,272,874,807,762,782,073,360,257,343,284,359,418,
967,487,974,768,348,391,587,557,177,867,502,128,369,723,332,261,931,769,663,
902,675,137,298,343,978,495,581,234,560,550,787,803,000,971,618,686,711,690,
569,854,523,859,753,797,699,289,369,589,573,931,286,144,970,464,599,905,514,
122,148,206,220,539,956,341,962,148,036,654,890,486,263,620,076,088,264,308,
705,073,707,687,735,416,532,446,569,281,920,153,665,887,224,418,450,666,901,
795,783,333,122,681,764,659,405,481,805,899,729,464,097,653,990,356,340,353,
687,791,147,039,839,401,899,012,344,674,431,261,525,389,220,150,020,897,630,
182,677,395,261,839,856,871,358,242,397,220,058,799,627,533,223,165,337,379,
988,751,437,679,107,833,243,432,096,571,624,176,717,641,065,871,939,958,678,
523,127,511,186,631,075,342,008,001,621,096,484,443,660,446,358,451,187,115,
689,087,992,990,146,000,924,034,040,969,423,717,671,022,251,740,374,239,493,
578,812,582,370,451,784,115,949,640,444,679,611,621,607,928,489,066,565,582,
333,081,936,005,704,834,926,374,278,507,607,053,432,364,605,046,603,935,214,
837,031,818,852,074,297,265,806,835,535,829,852,164,045,670,912,905,490,054,
025,814,117,799,287,036,685,005,139,059,258,148,483,131,509,045,008,499,530,
245,121,490,648,632,065,269,556,050,614,343,497,060,766,397,929,054,442,582,
927,382,931,467,219,403,415,356,505,320,202,409,565,953,606,027,783,029,826,
673,356,098,778,858,747,127,127,616,181,261,885,749,791,746,504,031,418,408,
720,504,923,301,346,189,968,160,250,261,618,237,541,951,872,805,713,834,897,
780,387,069,791,515,441,583,241,331,030,469,480,186,472,843,274,247,651,226,
390,783,035,160,198,470,774,564,167,692,676,821,275,862,021,212,260,134,584,
757,918,009,745,482,407,884,083,787,723,857,487,826,636,602,920,612,727,345,
246,883,921,694,896,714,055,507,156,317,481,831,959,272,149,212,078,348,718,
619,997,453,357,756,556,939,131,143,724,210,747,491,900,095,780,077,173,343,
826,756,334,056,480,506,776,375,621,507,714,938,912,783,443,788,446,494,946,
905,541,265,726,086,494,172,933,850,733,209,507,514,411,053,479,143,785,323,
858,371,649,164,535,612,316,284,013,429,066,791,163,839,512,575,135,987,308,
599,771,179,604,798,089,495,331,588,687,785,023,665,974,846,293,617,808,849,
527,929,805,521,799,009,948,075,912,773,873,427,013,877,850,602,800,807,248,
959,115,387,418,418,638,786,879,806,103,516,824,784,554,911,784,710,858,643,
264,181,473,246,559,478,948,857,370,164,963,203,964,143,036,762,294,149,340,
925,082,958,143,574,575,650,158,511,896,464,064,895,252,543,402,111,026,909,
301,638,056,211,545,461,323,377,479,992,494,722,859,622,673,990,869,557,589,
397,117,404,692,830,998,410,082,685,835,046,086,370,460,390,675,153,271,516,
513,325,602,570,175,121,258,167,024,393,487,986,744,697,740,439,384,866,620,
951,956,713,995,700,544,455,928,083,251,889,635,854,638,497,120,147,940,550,
716,633,461,816,021,060,836,590,348,543,155,128,512,263,605,844,574,692,205,
363,738,077,250,136,926,118,710,680,585,111,722,287,867,469,081,302,624,871,
074,549,822,481,769,017,737,523,569,562,199,911,165,831,148,602,458,387,920,
381,576,551,971,261,838,112,306,959,875,039,211,698,572,231,757,974,530,340,
404,188,144,345,253,695,685,024,146,291,996,859,669,952,090,774,559,711,706,
942,522,625,583,532,392,442,068,620,348,127,674,924,184,596,502,853,519,758,
687,857,864,691,316,465,898,835,667,977,046,034,562,842,908,623,136,285,447,
191,281,912,321,843,532,959,945,835,783,584,470,031,977,999,091,415,946,459,
493,252,594,391,608,214,450,655,333,946,708,316,581,543,260,100,996,702,999,
724,734,569,247,382,378,681,337,318,335,426,970,844,919,054,378,043,963,715,
591,068,590,544,079,348,642,173,825,317,884,598,889,888,572,046,268,891,174,
337,138,876,874,966,559,533,411,641,939,087,429,801,991,166,593,795,437,816,
045,841,133,304,169,433,763,342,972,336,190,881,456,137,103,753,512,871,791,
042,943,456,754,600,421,687,354,029,480,850,973,055,457,559,208,100,224,534,
982,180,961,537,496,195,987,782,953,402,191,397,690,501,737,704,631,570,907,
632,127,859,667,582,322,259,564,084,175,708,622,111,171,581,003,040,819,972,
043,678,259,420,308,606,792,243,221,813,890,185,787,069,205,623,780,855,994,
253,649,487,952,645,365,558,185,898,118,376,467,922,488,264,506,099,309,863,
704,905,028,273,703,642,429,629,339,823,374,540,026,887,811,238,520,581,358,
918,939,684,995,648,305,272,628,342,441,769,473,482,089,158,004,006,290,592,
666,538,837,870,437,576,572,149,424,593,488,946,296,755,638,207,539,068,945,
313,242,172,653,150,950,162,686,367,034,063,042,320,065,135,758,418,148,542,
576,776,305,568,132,571,667,694,727,317,073,424,267,079,753,767,745,628,204,
136,604,766,778,789,858,645,721,492,979,192,604,501,280,571,486,658,295,824,
313,687,601,858,470,573,608,257,964,566,422,539,346,660,104,761,551,050,647,
968,457,506,353,679,585,151,071,148,450,922,204,598,118,855,526,173,630,895,
633,686,776,493,094,278,169,195,952,272,246,134,258,527,997,047,978,113,533,
172,614,350,557,803,282,462,838,430,040,287,248,981,424,992,237,548,718,770,
633,755,076,223,707,744,561,859,226,488,175,069,800,884,882,314,734,936,994,
413,434,401,211,612,508,361,934,552,795,247,640,161,253,991,398,765,946,966,
796,376,344,448,452,031,883,386,723,295,154,782,102,364,344,325,071,702,188,
482,882,052,931,885,843,847,899,910,439,356,944,495,084,408,003,187,575,441,
959,962,027,434,324,295,701,236,356,685,564,801,845,269,394,600,986,312,739,
198,315,579,960,576,864,449,183,552,347,080,067,635,949,879,887,126,278,841,
342,306,226,626,743,943,875,205,131,780,367,004,059,731,677,572,939,813,578,
890,832,494,230,244,049,684,785,617,560,480,758,044,003,418,030,418,469,411,
752,594,848,905,743,264,080,694,569,568,924,875,658,481,589,008,462,974,766,
397,286,336,240,191,662,052,803,919,804,512,660,078,584,486,373,323,596,546,
947,305,948,420,918,980,004,396,638,719,791,410,983,829,000,055,259,670,152,
547,781,383,858,220,120,496,964,167,703,244,452,439,161,664,901,913,717,198,
365,708,238,275,119,765,969,298,184,536,281,910,449,745,416,528,562,969,862,
129,087,011,360,015,134,487,779,925,316,196,460,521,624,909,321,447,895,322,
311,450,857,743,715,753,379,196,485,697,936,084,544,248,868,735,372,615,115,
236,035,107,288,196,134,639,580,597,174,198,186,939,976,194,555,069,024,138,
523,429,347,394,338,123,408,590,341,321,995,584,149,701,619,376,737,419,266,
061,826,083,312,002,975,490,925,359,061,027,277,941,782,764,214,599,636,190,
917,160,882,875,626,163,314,008,677,224,815,797,129,060,152,724,736,282,783,
965,526,293,704,725,858,845,677,973,329,902,410,803,268,418,926,296,041,571,
495,215,014,551,758,189,273,569,711,990,306,937,123,716,510,833,100,007,441,
666,615,643,443,421,164,186,761,546,575,959,838,400,708,133,305,728,990,295,
804,745,156,730,984,579,412,905,358,707,606,890,497,989,088,115,511,903,375,
461,726,580,928,463,825,099,969,411,780,291,109,814,720,053,409,647,893,290,
023,857,450,259,380,050,731,131,091,814,522,407,701,196,697,483,019,727,393,
045,010,724,772,218,978,636,784,769,327,482,735,385,150,067,693,602,197,881,
294,197,419,722,062,002,034,662,743,469,197,363,496,589,840,279,492,250,855,
230,841,387,159,239,742,324,456,392,527,342,597,119,488,896,763,294,700,235,
187,080,616,973,640,562,546,465,925,257,143,920,401,501,113,057,835,972,838,
888,180,233,620,272,139,103,390,319,189,243,773,347,547,844,055,976,909,809,
255,099,669,149,949,505,245,391,065,811,784,818,356,134,866,983,736,144,152,
725,351,522,239,504,460,214,210,164,942,986,123,422,393,680,827,800,645,682,
936,163,261,616,005,755,484,760,151,838,415,096,399,979,105,008,378,219,293,
457,253,154,767,829,895,355,484,007,406,649,004,873,142,679,639,187,218,830,
945,291,632,341,068,150,075,448,239,641,749,489,521,448,785,406,218,597,372,
257,509,808,976,043,307,988,544,992,967,598,775,449,229,212,029,612,405,096,
551,013,904,233,792,760,144,790,887,504,938,030,696,580,579,208,572,164,701,
896,600,832,020,456,401,694,607,339,705,577,836,223,054,610,749,600,916,712,
129,966,800,991,749,417,969,896,798,766,625,998,045,039,763,774,965,678,211,
282,798,073,968,000,443,606,244,971,203,331,405,849,648,405,130,367,630,689,
281,160,393,510,736,024,725,217,756,601,433,081,076,648,009,918,849,034,504,
713,439,302,715,353,725,737,029,931,365,922,068,191,205,510,964,255,213,795,
318,389,138,781,614,299,665,626,140,617,150,660,895,186,131,341,424,071,071,
516,256,467,816,973,037,666,201,863,019,838,073,037,520,768,968,865,626,296,
208,743,471,004,016,495,080,703,610,085,905,713,921,012,834,166,736,691,026,
489,308,546,200,850,372,607,488,211,369,857,966,890,314,983,263,672,243,680,
633,902,971,294,630,622,402,700,515,051,838,449,259,050,014,577,988,106,616,
393,073,939,396,351,843,231,054,120,623,248,595,457,462,865,936,039,663,975,
146,260,265,820,133,550,727,742,281,640,778,771,629,799,986,851,497,506,225,
051,567,855,628,024,460,050,569,188,533,133,898,582,134,902,528,799,140,566,
834,006,879,989,021,413,551,692,211,925,086,712,074,692,532,856,660,434,085,
893,451,028,072,242,664,965,246,252,052,540,247,290,524,228,182,745,100,977,
188,896,578,437,173,373,743,843,162,294,649,812,191,131,824,594,538,213,954,
339,627,064,489,162,211,271,314,777,898,680,591,166,666,353,504,615,613,194,
828,514,302,833,521,234,479,839,412,951,394,997,131,111,124,452,855,918,358,
363,846,095,648,491,261,046,171,687,309,704,984,786,818,344,488,709,981,819,
217,790,825,732,064,687,138,380,179,019,322,069,703,334,896,484,778,981,956,
207,541,647,972,918,593,556,834,749,377,863,492,409,284,843,506,837,591,448,
015,212,971,063,947,513,050,587,219,237,029,114,289,422,976,506,904,753,576,
434,461,842,309,046,120,787,159,711,992,338,452,977,705,894,270,486,250,102,
950,810,869,848,276,590,430,372,117,479,941,500,563,670,224,155,537,639,223,
357,623,225,626,773,323,451,059,757,066,217,130,194,203,226,270,428,359,068,
299,982,098,684,983,505,215,354,918,073,380,102,693,097,452,218,997,544,153,
755,020,275,183,666,914,188,904,700,268,298,979,907,074,820,369,884,482,221,
105,594,573,460,936,956,037,088,309,372,792,838,100,974,911,594,888,139,468,
153,656,320,084,227,843,897,703,713,903,417,460,523,223,617,535,614,728,666,
086,571,518,499,537,393,347,796,939,897,324,072,857,796,186,784,325,958,329,
367,503,385,056,180,871,552,052,599,822,211,359,324,961,790,762,842,860,184,
077,249,101,158,869,550,980,861,360,475,842,431,062,828,959,784,383,013,543,
870,069,239,415,471,620,659,904,549,937,339,858,553,094,073,485,616,470,822,
004,947,771,192,015,573,768,641,866,227,622,777,636,944,607,733,146,710,395,
085,259,411,533,657,586,907,097,646,365,259,018,830,098,889,237,559,745,345,
578,006,681,621,659,338,011,831,178,541,902,770,575,500,425,050,349,235,154,
487,530,768,523,615,131,658,551,346,887,796,425,495,959,949,359,298,782,134,
842,308,760,638,520,770,198,140,253,165,050,454,497,172,668,215,921,685,389,
272,315,083,200,445,671,749,218,091,482,312,105,996,042,221,468,719,586,464,
520,263,816,374,325,837,819,796,101,364,209,174,856,397,672,298,126,899,764,
187,702,306,195,777,753,230,801,354,902,745,334,091,900,566,387,900,667,594,
802,814,553,822,813,757,362,244,888,409,969,771,075,905,653,326,572,128,512,
241,177,984,518,603,568,562,787,456,365,966,133,781,205,394,965,891,203,215,
126,350,566,961,992,241,108,712,389,320,417,894,912,095,321,707,092,688,150,
780,664,870,753,390,549,835,210,897,519,014,167,280,420,449,612,541,384,491,
322,808,487,351,703,057,109,763,672,774,373,573,151,024,532,275,969,378,244,
063,106,990,091,506,556,230,604,139,446,792,491,122,463,996,644,037,255,712,
342,462,024,732,875,356,896,812,143,368,330,319,299,232,567,733,344,514,957,
093,020,155,581,796,403,429,519,807,264,489,173,779,061,418,014,575,019,881,
385,394,577,593,188,796,663,697,268,288,644,595,831,546,069,669,264,279,259,
901,699,281,310,466,821,956,931,483,185,813,614,458,914,362,329,033,345,563,
814,689,134,094,753,833,865,817,089,727,067,830,945,585,907,507,356,476,444,
525,441,244,477,524,950,109,008,966,162,111,801,970,111,542,179,567,488,242,
115,275,855,578,395,877,240,780,550,403,948,238,837,324,139,371,615,523,045,
866,699,118,406,193,700,577,332,318,141,944,445,365,158,243,387,425,268,958,
885,132,425,844,750,157,857,657,938,143,277,271,515,228,373,554,547,316,636,
965,015,950,282,450,674,361,700,366,799,764,327,395,176,192,641,141,792,395,
995,681,658,399,670,035,142,472,043,664,127,098,723,447,541,043,698,595,530,
449,028,585,139,178,776,671,012,031,989,343,934,281,652,223,737,125,678,067,
152,259,874,079,260,141,475,652,830,507,918,295,938,973,582,556,222,846,095,
266,035,198,209,990,202,024,705,150,910,176,893,682,987,981,271,426,824,453,
965,022,195,124,538,029,897,851,611,987,175,956,159,768,803,371,007,479,238,
250,676,647,282,015,229,744,645,006,176,500,236,525,632,725,304,453,231,715,
477,594,057,490,027,531,358,304,375,771,106,964,353,957,170,435,016,365,446,
126,095,449,939,951,660,135,776,100,985,258,137,045,570,356,660,144,743,026,
321,479,179,267,393,073,041,168,513,467,744,278,757,033,772,537,158,691,953,
286,191,913,799,806,189,075,101,721,656,839,157,849,079,051,829,209,495,993,
713,195,647,138,124,571,329,148,159,832,615,692,304,135,714,046,848,441,187,
654,617,120,020,970,905,472,521,278,122,060,917,972,834,354,304,257,657,633,
027,942,543,164,699,142,801,966,195,257,597,937,614,735,375,573,859,488,942,
504,223,197,870,937,045,921,098,678,114,956,887,137,034,852,263,901,464,286,
807,770,699,593,234,700,255,171,408,049,765,828,277,581,593,361,757,250,960,
628,948,416,176,084,623,541,550,484,376,552,931,543,853,040,938,794,646,785,
953,580,297,080,152,690,283,321,506,264,324,269,206,726,879,354,846,173,679,
519,985,682,169,564,213,299,578,121,740,907,136,814,058,515,498,636,489,135,
719,837,715,097,379,455,681,923,668,403,799,100,321,412,560,191,097,988,312,
530,620,856,152,197,153,350,190,131,763,777,488,584,571,470,179,244,735,073,
713,651,985,762,463,771,697,540,795,389,761,804,809,738,479,656,722,112,089,
263,989,425,017,886,581,610,994,883,617,121,784,801,763,675,905,594,994,345,
812,934,013,845,352,339,463,536,347,259,513,706,072,299,087,539,042,423,974,
975,999,954,323,410,194,919,108,794,069,339,948,644,005,696,654,738,193,286,
941,074,587,074,012,024,428,114,203,614,710,138,114,304,369,371,548,250,944,
706,509,569,706,295,330,538,608,659,437,384,769,778,000,639,382,998,253,824,
481,284,552,052,496,085,901,433,969,885,880,633,884,177,581,151,939,420,819,
586,811,639,523,715,623,539,080,198,987,607,187,199,797,885,565,276,594,099,
369,169,127,311,217,625,966,242,431,182,470,113,617,344,913,320,784,998,167,
143,929,030,834,207,980,135,795,233,945,141,425,335,645,370,435,364,588,629,
402,917,757,829,816,375,954,767,558,891,906,313,392,392,565,337,944,797,973,
452,685,234,294,251,520,623,808,603,910,806,710,517,095,808,333,216,220,916,
963,898,371,141,590,663,825,651,194,491,783,036,074,523,935,528,980,999,670,
235,747,576,134,289,244,444,807,695,661,804,206,075,114,222,566,711,652,164,
157,534,087,882,552,098,529,694,574,942,990,952,477,540,515,398,074,161,149,
866,261,801,154,516,258,199,461,721,815,704,556,901,598,809,139,162,510,526,
910,607,550,014,173,431,857,123,206,977,779,174,381,915,902,976,766,488,379,
016,466,332,581,892,970,248,320,392,431,174,327,415,732,614,282,781,959,978,
178,662,926,995,714,742,800,519,166,594,723,814,886,087,904,604,284,121,759,
247,030,532,804,912,711,670,665,624,828,053,842,899,801,016,432,017,078,497,
149,222,942,097,737,733,069,577,618,881,242,903,689,206,543,374,430,022,677,
790,383,078,050,588,546,870,293,784,060,321,223,552,624,856,119,269,480,464,
232,488,199,397,222,214,736,640,006,019,978,867,401,396,518,470,843,901,586,
782,795,420,722,868,114,384,197,365,372,220,628,343,067,430,703,052,862,413,
063,101,160,531,320,065,625,776,552,065,579,940,566,838,539,770,673,656,901,
155,109,109,348,222,776,493,443,561,823,571,206,211,372,814,973,336,625,936,
500,243,052,845,383,703,463,401,042,077,335,121,633,945,872,965,626,920,285,
649,765,523,956,974,784,242,730,290,170,102,160,104,045,211,744,998,699,680,
658,019,276,328,857,781,282,646,618,670,862,036,859,443,967,380,766,306,445,
631,403,567,132,531,839,815,506,124,048,717,902,084,019,107,644,265,662,356,
968,107,710,024,620,114,986,562,712,259,761,842,256,094,110,712,091,207,671,
058,146,297,389,879,635,540,442,358,727,657,621,504,865,895,313,848,551,803,
533,595,478,421,565,073,417,799,421,614,376,206,882,371,258,743,950,032,035,
591,087,296,125,801,835,158,333,589,157,183,961,216,488,712,470,596,244,188,
755,277,957,177,063,711,805,878,533,875,216,941,689,785,628,332,650,120,605,
365,087,735,122,407,022,114,898,006,153,400,840,968,130,694,647,825,612,962,
838,545,075,232,659,483,846,781,501,334,261,688,520,223,936,783,218,850,896,
489,719,447,939,373,448,921,495,075,019,492,394,497,447,506,066,567,754,954,
709,784,641,183,836,713,323,774,375,789,118,278,167,630,832,818,717,630,974,
952,689,893,556,574,566,294,827,661,917,777,939,638,635,368,194,289,824,210,
120,626,319,657,456,410,235,204,256,672,846,969,810,319,649,801,121,203,034,
007,067,922,217,651,766,352,490,645,884,966,433,914,804,372,171,231,650,028,
544,630,829,803,639,075,742,808,757,417,128,155,874,957,935,668,289,718,952,
637,118,485,394,845,278,975,167,888,485,854,636,189,763,732,919,721,484,308,
151,800,510,289,767,969,173,923,310,259,240,054,481,315,513,342,270,229,240,
778,746,089,713,596,454,224,388,707,919,375,917,158,109,447,005,935,639,505,
957,905,670,968,665,096,796,337,694,622,090,709,786,533,599,041,750,252,977,
410,418,841,219,627,709,822,126,711,869,547,969,281,284,499,342,305,787,139,
894,051,443,666,636,934,236,258,176,829,634,672,559,586,985,922,190,432,157,
211,401,360,138,000,510,653,851,490,228,395,519,175,197,709,665,722,713,572,
199,504,107,939,789,591,320,211,113,411,162,565,596,793,771,252,824,782,706,
699,437,522,815,398,721,073,404,555,994,470,994,229,216,730,923,549,421,287,
559,478,227,003,525,136,125,570,361,619,839,144,166,363,578,050,082,161,720,
371,936,717,545,702,458,810,583,208,586,882,011,545,818,368,902,335,807,457,
399,518,564,462,680,414,987,051,229,535,151,122,369,996,431,867,180,773,349,
498,580,868,127,438,186,840,288,205,047,200,386,979,611,220,618,935,368,142,
206,969,179,964,666,741,286,939,533,480,385,132,806,917,639,543,271,654,880,
664,982,828,056,812,862,981,181,300,410,192,811,655,734,444,404,699,439,385,
270,029,876,578,027,114,051,539,668,735,307,610,169,235,981,934,998,183,505,
249,086,745,315,985,966,001,036,595,836,913,941,987,256,873,598,304,025,798,
285,495,016,587,826,011,765,101,805,132,489,575,027,458,438,461,526,298,065,
357,583,390,433,175,883,279,140,919,326,790,515,129,873,422,880,308,144,911,
658,172,677,184,804,228,051,579,447,823,312,429,472,781,907,325,044,148,418,
905,717,486,882,376,255,873,311,755,289,158,873,780,728,417,189,679,512,803,
299,149,240,911,941,334,220,497,585,944,985,972,699,269,353,914,324,416,776,
387,084,572,035,715,487,406,686,310,150,932,843,527,206,092,215,715,155,588,
773,291,236,304,444,433,804,568,088,883,704,153,310,152,036,888,552,096,137,
048,550,336,665,797,784,723,028,605,486,883,137,750,807,447,753,819,385,830,
196,406,700,999,946,408,060,170,483,861,140,563,064,032,599,039,774,977,504,
448,227,231,989,772,261,432,108,251,065,694,355,968,900,984,888,073,830,786,
013,795,568,728,105,015,781,003,147,165,804,742,903,493,752,245,879,955,060,
346,006,269,778,726,992,558,746,164,206,327,738,074,875,029,337,868,907,034,
508,420,008,726,024,253,911,636,812,866,806,565,400,083,473,460,280,887,441,
919,761,026,077,875,252,022,516,648,432,333,041,882,145,098,555,948,200,858,
455,720,948,778,942,173,210,900,897,177,500,478,557,185,863,745,676,895,814,
853,661,028,042,400,085,088,305,422,157,543,155,449,045,052,772,855,189,833,
210,473,954,674,756,131,507,607,645,067,923,981,437,811,366,597,611,080,448,
404,204,544,032,739,441,271,967,028,486,153,501,856,616,042,669,813,485,131,
396,068,686,110,734,868,573,715,232,947,951,107,161,506,009,869,703,111,793,
231,604,192,619,197,463,837,054,870,208,449,615,117,206,822,731,575,757,424,
639,855,018,439,962,330,180,930,890,695,469,188,580,680,594,355,844,130,290,
558,943,312,543,569,623,566,262,142,331,077,958,151,122,153,582,815,448,746,
982,994,911,395,344,826,495,973,099,140,526,917,517,959,012,349,265,850,783,
705,211,988,239,440,832,459,650,272,810,563,954,284,755,651,644,534,294,631,
549,968,313,395,560,608,739,099,996,789,916,862,818,987,662,503,815,238,843,
617,865,833,461,165,838,215,126,352,241,894,775,315,694,320,560,194,655,951,
308,715,755,089,341,788,803,002,402,752,680,722,008,042,841,494,593,629,919,
485,886,063,000,132,966,069,550,917,924,114,033,946,550,415,554,492,713,362,
197,138,027,225,832,462,314,665,768,300,496,873,158,350,163,145,946,506,613,
825,251,013,213,367,903,952,916,118,991,911,422,088,926,457,227,781,557,636,
229,875,171,574,340,633,379,593,597,587,639,734,317,858,487,371,152,917,616,
180,885,136,563,282,350,060,609,438,965,070,830,368,365,857,864,893,307,371,
772,204,799,331,811,027,435,054,159,566,849,102,678,754,480,085,188,011,798,
981,827,206,292,708,283,463,290,252,144,101,630,687,212,053,972,659,252,468,
660,653,649,011,613,887,785,129,033,643,105,005,707,315,106,402,692,990,843,
739,092,512,799,958,784,935,326,955,134,744,700,304,494,366,316,732,222,563,
150,600,360,374,563,239,471,977,684,105,336,304,950,257,892,594,654,668,223,
030,843,338,535,864,645,979,035,610,069,261,197,833,784,555,886,199,403,723,
816,107,270,080,375,566,844,002,952,049,125,076,635,356,396,499,339,726,924,
470,068,899,488,246,819,636,896,062,322,423,649,259,859,014,034,466,779,730,
326,833,795,681,950,823,757,886,383,951,953,997,172,898,511,418,615,313,935,
342,085,761,120,766,529,523,985,478,980,568,418,987,849,441,719,848,266,302,
376,099,778,023,278,883,956,401,151,966,869,532,253,350,598,523,827,719,507,
032,657,488,796,354,071,499,169,299,860,355,908,788,213,445,804,142,836,348,
771,112,962,294,410,475,556,988,001,486,332,827,271,025,901,969,154,826,924,
730,866,973,267,834,989,264,124,042,517,511,592,401,209,769,578,589,244,132,
199,309,389,110,271,960,176,379,636,172,950,966,367,924,795,363,290,816,005,
749,606,540,455,413,448,856,659,087,860,641,310,632,715,772,923,778,019,102,
922,605,130,681,355,336,924,178,596,752,622,121,066,974,593,020,664,806,312,
205,927,309,551,525,308,238,223,609,266,496,278,500,080,531,572,014,155,854,
491,359,715,493,337,513,134,494,969,822,295,779,136,575,523,408,633,322,509,
137,986,420,757,434,806,741,382,208,812,681,347,275,453,518,443,205,411,739,
086,812,880,813,550,209,192,084,075,036,710,543,920,222,703,939,231,587,911,
633,041,068,095,166,380,603,831,789,532,333,642,089,904,358,296,938,441,477,
225,267,449,345,122,457,996,511,045,354,091,788,073,259,118,752,495,426,089,
327,474,459,397,675,101,019,169,509,428,503,249,257,056,876,161,163,152,041,
912,385,703,547,380,353,185,026,502,245,043,028,975,855,932,048,444,155,033,
026,467,256,931,327,846,810,418,801,707,817,812,527,182,138,092,057,190,944,
329,651,248,118,231,652,356,060,184,527,996,723,465,281,553,868,564,202,644,
719,694,773,332,763,395,135,324,041,450,364,169,514,501,291,677,051,358,956,
757,475,759,841,046,383,691,098,514,865,527,612,782,551,351,375,431,861,692,
565,319,432,322,019,943,812,953,465,967,114,318,068,917,439,434,866,064,603,
581,143,575,186,107,799,146,048,676,805,815,296,002,285,402,340,753,552,306,
173,038,065,556,753,321,679,811,285,223,640,767,921,069,318,273,617,418,700,
714,894,489,369,282,354,521,841,357,374,877,531,705,974,294,818,055,036,991,
398,572,821,264,608,225,857,830,825,695,759,791,739,421,287,037,431,878,635,
297,018,077,082,323,296,005,174,285,840,525,385,275,227,384,273,928,833,183,
126,136,963,615,583,343,404,173,536,473,659,197,780,960,082,417,387,218,037,
652,692,216,002,020,558,202,926,643,603,929,588,414,535,875,327,710,487,205,
114,905,482,109,604,870,304,879,932,954,858,516,665,632,670,655,613,740,977,
387,040,620,273,525,549,736,293,512,744,624,706,710,067,062,289,049,152,444,
969,304,459,685,672,153,158,889,577,809,197,985,570,778,085,578,299,556,256,
594,788,121,179,558,783,219,312,505,141,164,701,755,876,034,721,195,451,298,
501,251,972,718,671,658,347,813,847,597,952,379,579,871,253,117,424,259,578,
173,533,950,469,952,499,931,731,440,629,299,698,905,425,954,894,273,764,678,
362,220,805,871,706,755,372,745,757,693,229,046,589,998,550,363,883,715,954,
907,769,245,542,417,403,509,561,417,874,830,207,941,662,783,344,856,120,879,
519,046,502,151,419,888,818,710,669,552,298,551,476,227,541,773,928,285,387,
221,946,446,543,412,494,373,248,975,602,719,303,454,185,088,364,597,382,571,
277,161,043,288,063,254,179,533,677,668,350,765,098,295,967,444,872,939,171,
632,515,289,105,706,083,160,973,577,845,705,338,813,260,477,064,986,846,994,
513,826,983,611,958,529,771,442,343,534,773,328,638,885,621,865,732,510,089,
721,902,488,215,775,540,808,763,605,254,750,335,148,605,450,307,863,187,831,
340,043,660,709,747,696,911,361,996,792,583,491,894,061,818,122,987,723,199,
943,681,413,150,799,831,891,405,473,063,639,183,686,149,704,220,106,207,368,
561,051,455,078,587,111,573,349,900,892,770,627,797,748,035,991,688,371,556,
525,288,401,283,093,535,054,126,802,239,070,927,915,559,153,467,351,141,558,
973,415,424,775,799,593,839,758,753,212,084,903,919,192,232,502,239,465,325,
593,012,048,058,445,165,227,363,401,168,293,732,006,770,473,946,928,610,029,
169,358,800,850,080,208,531,835,719,107,420,776,885,887,156,741,156,392,991,
681,601,859,603,999,512,423,678,081,141,874,398,625,307,230,511,586,530,279,
650,019,391,161,112,341,558,860,990,666,443,651,920,469,373,874,320,019,265,
094,976,498,992,123,948,450,963,810,979,654,233,114,628,887,028,002,916,967,
277,301,117,356,565,933,219,503,732,000,846,026,287,936,323,581,982,503,713,
993,310,522,336,293,988,392,489,228,330,871,818,994,839,434,305,320,503,480,
195,566,536,570,641,218,613,966,056,699,722,099,231,515,550,677,039,222,917,
292,892,909,087,119,904,743,545,397,212,136,985,467,017,462,901,623,880,605,
402,198,455,427,409,419,161,001,955,391,479,598,940,985,760,458,848,473,597,
179,599,464,693,340,368,956,684,988,810,575,945,269,925,688,637,543,824,987,
513,260,634,283,941,621,681,876,857,149,945,854,534,925,210,442,547,413,300,
584,672,752,850,825,114,890,962,546,368,473,721,590,747,355,158,160,069,693,
054,102,487,305,486,559,807,734,405,065,477,205,873,302,247,182,533,100,618,
343,552,926,079,940,218,565,848,132,792,913,927,398,488,795,482,031,994,262,
645,575,549,509,544,906,265,519,399,933,435,273,493,084,100,247,549,216,161,
467,393,600,437,598,566,005,105,836,065,100,762,458,663,050,995,295,682,543,
171,735,566,919,826,237,279,144,455,963,153,968,636,109,412,759,414,433,558,
672,839,407,073,006,468,785,097,119,061,866,745,485,341,660,945,247,247,674,
472,154,301,528,633,104,807,155,858,759,706,965,124,345,211,526,022,662,944,
268,524,223,311,251,916,565,308,377,056,433,695,274,540,856,488,130,684,872,
093,092,000,982,785,413,395,372,279,721,020,247,840,312,414,522,329,271,495,
743,595,156,916,543,917,868,582,800,650,667,909,505,732,142,224,916,653,027,
027,786,359,499,703,857,467,212,191,875,181,022,522,421,858,847,103,409,082,
360,681,239,481,214,893,022,324,308,369,166,025,480,392,578,566,437,786,332,
319,168,042,032,816,907,136,628,875,840,224,845,324,190,795,881,849,491,359,
857,267,361,139,468,320,727,380,991,248,708,753,391,136,812,123,187,210,663,
270,242,339,613,561,492,738,730,270,663,809,114,468,540,938,511,479,914,452,
720,867,352,215,333,785,359,367,748,181,571,055,262,709,589,675,234,586,607,
343,807,270,695,387,344,078,989,648,427,750,313,710,877,307,526,412,706,675,
432,919,035,028,396,339,620,716,764,327,279,919,407,080,226,407,736,232,924,
399,796,782,889,934,643,628,470,219,641,632,186,535,843,267,324,392,560,990,
908,897,328,476,585,571,811,145,617,920,320,814,787,041,719,908,281,707,925,
409,643,558,694,871,315,661,071,846,747,396,496,121,691,145,628,101,178,030,
505,382,209,170,189,377,929,053,005,041,342,699,939,035,461,670,103,115,453,
373,229,638,313,937,626,515,230,982,475,312,524,023,910,888,147,961,686,572,
441,227,466,254,182,139,407,022,259,504,701,655,891,405,005,145,203,763,441,
752,565,873,311,127,607,489,070,977,012,517,128,489,556,155,414,999,622,029,
624,413,804,064,571,360,133,235,171,948,875,680,857,225,234,160,508,893,844,
045,372,923,090,826,316,726,571,680,840,947,350,342,987,525,547,396,602,176,
532,857,644,691,458,628,085,547,912,892,036,686,791,169,746,461,653,953,138,
272,958,556,968,873,579,013,725,910,521,872,916,919,973,787,934,089,549,270,
613,418,292,030,548,892,759,760,311,313,214,948,192,562,093,109,300,668,730,
789,888,408,470,762,667,822,035,353,126,248,242,308,393,156,147,267,897,016,
944,249,722,300,081,803,680,183,515,152,384,971,677,569,429,261,159,241,115,
916,455,524,597,164,463,169,021,559,659,022,205,676,444,556,331,078,650,951,
120,615,549,629,513,900,194,528,842,636,090,782,514,302,693,247,922,448,298,
260,964,455,679,616,739,545,328,172,946,053,623,272,563,144,499,580,302,709,
250,109,242,933,678,094,781,604,297,574,069,714,247,942,492,518,847,013,322,
650,264,431,759,733,088,493,459,014,242,000,888,804,659,187,322,435,208,330,
663,152,094,748,498,556,256,602,332,442,779,190,081,081,064,190,643,865,367,
808,454,930,996,672,252,392,298,210,522,524,336,097,378,479,305,576,548,936,
726,041,496,942,484,683,001,624,815,934,837,756,234,792,998,039,876,165,352,
242,249,727,302,750,540,692,726,304,640,257,292,109,895,611,253,255,601,711,
128,617,257,234,380,375,136,800,462,400,199,827,302,020,184,860,959,842,947,
312,772,815,579,367,867,663,811,417,243,275,500,367,938,929,272,150,437,887,
384,184,732,393,429,358,193,525,503,430,728,959,470,117,235,600,791,371,561,
568,905,970,202,189,222,246,039,176,844,510,056,474,488,394,830,521,728,647,
459,457,563,122,658,816,580,774,193,077,991,074,972,785,336,373,101,091,811,
333,493,117,125,970,138,859,971,951,121,884,342,894,409,775,640,646,518,804,
870,151,925,260,209,894,455,558,720,505,998,229,937,632,066,429,114,384,231,
879,933,622,091,230,741,574,364,019,221,687,777,330,795,443,141,294,348,237,
395,515,514,917,598,636,984,806,997,565,341,082,329,318,848,394,157,130,394,
218,845,285,792,896,503,690,263,129,337,977,138,220,647,030,128,239,847,952,
581,042,674,471,246,285,642,973,293,435,786,731,463,015,892,684,257,387,633,
879,491,690,240,937,933,719,619,754,201,084,639,375,381,960,499,508,652,589,
733,422,019,300,587,114,009,003,727,685,782,176,618,550,202,950,661,567,752,
196,170,542,661,213,204,376,735,103,383,835,141,331,374,761,892,524,326,476,
803,744,743,570,342,834,619,854,072,455,685,715,195,820,422,376,981,522,571,
114,430,492,615,914,644,872,926,233,137,834,048,059,902,376,137,036,430,615,
992,721,320,757,253,602,937,013,027,237,388,748,312,813,310,208,825,528,175,
242,855,064,894,772,634,592,532,129,904,657,614,047,718,757,576,873,431,841,
618,142,053,473,930,342,876,774,139,497,589,273,081,487,464,204,176,038,793,
054,786,897,422,252,431,399,185,296,334,312,171,569,271,919,932,517,708,380,
735,031,430,248,201,302,813,393,112,933,950,410,515,662,748,310,095,657,280,
376,986,017,651,517,789,528,326,883,388,004,096,136,757,157,042,801,844,098,
175,653,788,082,524,760,060,392,135,249,180,902,965,908,747,855,244,918,847,
159,363,168,208,303,553,648,444,449,964,979,437,071,784,046,269,063,233,730,
792,228,152,635,777,199,158,868,216,549,028,713,406,138,122,921,049,588,120,
679,933,502,560,946,777,937,316,037,285,428,789,292,084,519,939,344,076,720,
186,910,383,268,533,583,874,029,595,326,913,860,209,453,259,675,588,784,914,
458,158,417,797,406,418,139,182,242,023,914,341,823,617,724,948,894,259,617,
330,728,703,123,950,371,981,684,434,238,348,163,423,821,754,384,934,598,987,
910,303,012,343,946,541,097,554,660,117,402,672,911,098,949,959,175,249,743,
567,451,303,801,360,932,350,393,482,091,314,693,392,180,782,224,288,034,649,
826,344,927,612,724,153,339,163,565,841,983,215,327,835,400,994,268,820,711,
794,777,949,736,444,121,428,535,893,039,951,442,364,845,659,513,103,648,859,
135,217,151,037,304,334,797,367,632,101,367,804,909,383,969,230,450,079,580,
213,063,867,841,221,359,115,786,714,008,650,107,909,776,934,123,232,929,385,
581,613,960,930,307,741,013,973,667,165,991,730,601,596,936,931,188,100,736,
707,657,194,327,527,007,843,930,479,475,968,783,770,215,629,743,500,362,656,
668,993,850,386,667,636,275,062,436,314,014,644,960,875,296,635,287,163,005,
170,619,181,554,088,794,404,124,391,362,423,231,995,745,977,140,590,317,699,
101,433,659,399,369,388,472,978,645,652,230,906,358,319,761,284,634,863,276,
350,271,632,492,068,887,560,599,926,579,172,487,272,131,630,529,597,271,279,
205,334,710,063,109,901,856,050,354,392,526,306,513,699,523,052,685,803,476,
737,928,315,495,739,893,905,371,488,200,044,839,820,113,978,493,113,487,246,
382,259,834,540,762,182,436,064,931,513,093,739,146,418,975,608,427,840,062,
562,086,060,326,422,544,178,381,639,866,262,002,002,246,809,327,159,038,315,
085,280,564,623,760,340,053,848,058,428,505,696,296,045,163,463,418,783,983,
644,804,446,352,399,807,817,111,030,325,371,167,468,736,118,304,289,872,724,
032,290,936,528,182,898,246,295,284,683,444,184,563,953,102,637,185,098,604,
679,509,570,734,406,779,425,712,924,279,447,280,793,936,318,045,713,944,555,
415,336,637,948,854,429,180,231,320,220,480,980,660,085,010,668,154,487,376,
890,470,557,439,564,823,657,743,343,125,891,375,467,929,331,104,117,304,501,
431,729,647,776,438,981,240,173,739,485,507,116,761,521,000,844,784,580,356,
935,088,441,449,394,888,451,303,992,409,345,995,049,277,211,766,867,273,725,
460,385,594,106,054,123,658,994,480,949,199,240,819,224,533,225,121,525,043,
170,258,898,491,578,941,825,918,856,897,347,327,832,536,334,717,008,917,203,
905,076,512,764,050,361,212,313,854,347,444,226,531,818,024,474,179,620,552,
897,831,353,358,568,693,598,159,497,857,993,098,566,826,840,191,337,632,512,
415,339,287,783,381,232,966,814,708,203,159,664,091,635,231,341,961,924,589,
710,454,772,270,235,768,850,247,641,033,977,222,456,860,374,780,104,644,190,
623,884,160,006,895,653,170,655,334,094,080,214,920,735,524,715,311,837,901,
996,721,564,210,393,626,171,212,215,545,500,002,730,967,206,686,774,625,066,
467,573,994,230,048,287,968,270,137,329,297,822,298,500,723,281,917,652,926,
618,721,210,700,496,540,285,080,818,615,167,433,452,578,760,991,750,775,835,
903,273,989,071,821,727,972,621,164,572,924,859,648,038,069,408,075,494,075,
814,212,419,120,746,478,647,999,849,161,477,680,313,471,485,653,996,526,541,
830,649,760,275,612,592,413,037,188,810,238,599,207,571,774,803,001,210,886,
858,515,882,396,560,887,175,925,064,822,824,657,959,913,725,683,684,494,625,
763,331,998,097,092,552,806,483,254,498,614,827,438,025,244,885,333,418,944,
645,601,567,103,506,846,352,536,669,564,210,171,179,582,784,954,322,779,275,
956,103,617,534,398,014,383,778,580,493,266,387,932,301,909,749,320,576,508,
111,187,374,238,140,705,196,102,344,716,633,979,347,688,759,371,968,818,042,
240,249,685,226,470,024,433,103,917,278,010,753,603,923,203,558,541,428,367,
074,024,724,109,956,663,863,275,728,915,268,828,431,052,526,745,130,961,845,
764,426,582,959,610,957,503,349,013,427,222,361,111,810,666,869,213,189,505,
935,805,946,884,075,842,346,571,501,631,937,145,403,788,433,679,196,488,320,
962,866,145,828,146,693,640,083,304,113,138,970,294,376,689,081,928,256,138,
789,862,440,943,062,576,152,147,614,409,803,049,792,618,090,283,451,349,783,
811,243,896,512,387,421,380,845,586,408,134,814,369,529,265,710,221,413,570,
213,311,321,097,610,983,993,628,543,201,411,801,320,584,774,330,394,568,454,
107,589,006,324,954,739,589,416,502,108,819,204,831,896,950,376,749,272,378,
408,864,003,852,365,118,014,037,110,663,760,377,201,090,542,537,009,983,172,
159,895,222,717,466,028,218,983,963,762,498,202,390,342,536,101,737,022,042,
430,657,754,790,284,659,113,327,645,978,459,697,565,297,535,756,351,053,536,
268,603,793,445,271,931,213,744,069,394,161,712,597,485,333,602,098,112,556,
855,395,528,711,555,240,846,507,401,133,256,896,825,049,068,588,556,251,190,
775,390,230,508,791,976,636,414,488,797,808,479,369,171,927,068,837,278,645,
411,954,848,501,038,126,594,823,460,797,004,823,389,020,632,087,004,681,008,
043,824,230,145,223,278,124,276,784,024,281,133,967,708,794,765,522,338,455,
732,191,435,873,946,558,143,075,075,944,724,278,750,972,244,677,498,840,286,
282,489,161,783,357,323,322,577,547,599,509,418,595,369,313,995,064,629,240,
696,375,345,300,060,611,964,358,988,864,194,201,127,465,007,220,970,010,010,
307,998,460,524,424,269,035,849,453,153,315,754,900,319,762,692,591,653,197,
596,987,312,459,715,525,412,690,672,915,755,415,486,309,413,919,922,103,841,
565,268,119,091,594,954,294,633,931,282,480,739,069,982,725,309,585,986,285,
907,881,258,440,591,456,314,964,641,771,287,963,186,594,316,702,670,929,603,
447,971,121,551,155,323,040,588,399,092,349,298,639,883,418,032,239,840,538,
623,496,620,955,436,387,884,284,824,495,386,683,168,380,855,166,148,623,611,
471,965,692,622,736,667,767,630,543,523,721,819,912,036,977,942,447,973,134,
020,162,122,588,304,681,497,204,440,867,319,481,188,941,960,241,312,267,402,
039,470,723,240,081,292,404,585,145,139,787,565,480,322,302,554,908,756,629,
586,414,906,376,424,642,413,411,928,780,148,937,891,587,415,511,730,109,585,
224,337,666,578,408,536,105,141,705,750,215,654,250,220,987,801,457,660,611,
221,890,168,623,340,492,506,902,057,961,689,552,667,258,020,005,638,980,033,
487,471,566,092,358,704,763,483,465,392,205,061,768,092,646,648,777,049,302,
620,531,413,074,851,285,317,552,050,089,754,630,376,542,929,567,653,012,560,
418,750,532,307,139,521,094,177,941,522,518,441,462,935,183,230,260,293,706,
279,576,843,371,322,109,327,185,725,596,096,767,507,148,020,553,510,725,469,
382,738,986,855,543,122,745,580,873,346,282,681,293,827,435,600,834,315,110,
147,186,468,023,607,597,008,509,035,613,677,124,436,373,646,458,120,087,171,
009,534,897,335,875,971,789,017,741,883,568,308,000,457,514,694,074,227,237,
663,224,715,561,507,092,516,164,497,437,171,423,937,978,898,023,080,033,662,
322,295,268,240,867,335,962,283,182,334,861,195,025,524,638,052,507,404,119,
693,313,705,453,578,515,298,820,757,923,046,587,489,960,961,355,554,279,178,
433,835,646,267,023,038,692,671,484,767,801,546,169,930,182,027,579,205,314,
828,365,192,237,713,133,579,673,285,180,109,976,962,654,783,883,201,178,331,
087,479,489,715,821,242,469,072,714,420,947,412,076,114,853,026,031,217,214,
005,236,664,829,857,653,168,397,510,824,586,656,312,970,302,664,138,097,019,
438,545,285,607,710,625,594,349,354,667,149,009,709,829,476,636,240,692,029,
179,516,172,578,254,850,602,675,885,598,596,555,926,817,019,272,785,942,626,
148,913,659,837,439,915,720,106,906,813,778,058,816,924,753,310,730,491,762,
387,237,645,852,777,738,889,884,963,588,433,601,864,377,647,297,513,306,551,
697,617,450,017,685,874,324,784,477,342,499,011,728,683,609,968,882,070,369,
044,306,349,923,906,563,138,807,697,190,084,082,174,922,677,509,632,872,046,
912,848,864,158,860,594,417,608,108,998,656,528,747,128,258,090,050,278,356,
849,979,945,518,065,110,082,468,239,742,211,092,483,300,165,500,108,618,398,
329,110,779,423,175,321,687,249,688,073,729,291,200,721,916,606,386,931,375,
250,959,203,756,177,864,339,430,828,445,963,981,525,376,531,412,041,087,730,
044,873,951,640,252,848,934,381,185,853,407,806,025,166,991,752,560,079,213,
822,391,357,208,031,631,853,650,932,920,334,662,482,286,081,564,247,463,819,
398,335,609,473,084,130,710,419,835,151,702,018,132,339,230,535,634,815,141,
147,115,814,144,916,630,908,355,103,000,311,625,928,409,141,187,059,220,192,
078,266,255,856,400,613,106,345,505,499,617,173,430,181,090,560,500,124,161,
994,247,622,014,648,410,244,262,869,031,690,563,496,153,550,909,690,623,596,
105,011,579,059,627,815,610,020,965,186,872,345,591,023,417,641,879,268,606,
047,874,896,194,222,563,800,775,538,108,149,278,385,720,888,069,878,645,682,
957,267,971,025,632,875,661,334,263,946,272,561,483,434,148,272,346,850,939,
943,804,270,165,655,803,406,740,159,313,282,203,512,642,979,986,327,088,786,
956,316,887,037,696,172,082,460,293,649,938,217,550,222,707,805,760,444,730,
839,373,771,700,056,360,994,791,530,506,652,443,921,126,041,103,773,146,104,
703,314,088,669,778,121,815,472,133,762,007,345,192,759,904,868,782,297,145,
619,111,360,310,122,936,393,051,380,325,572,337,170,181,779,765,879,345,203,
446,050,731,703,785,756,388,690,858,462,300,734,588,425,647,062,562,207,885,
361,774,772,154,777,401,113,007,476,282,028,869,146,511,983,228,636,055,929,
759,180,707,512,386,775,207,557,967,697,982,719,902,168,400,245,126,002,866,
714,705,124,236,106,776,362,360,864,370,867,215,101,914,335,296,407,249,343,
437,653,552,066,922,819,939,881,929,886,800,572,142,727,553,593,535,886,673,
260,966,074,925,379,066,183,903,134,197,088,187,762,704,271,223,016,649,234,
707,502,870,271,029,070,911,926,664,382,952,040,675,467,471,485,185,446,577,
515,654,077,207,421,363,418,145,326,957,054,743,159,886,009,782,808,229,590,
688,108,783,944,798,479,789,522,656,248,677,116,882,007,023,993,302,077,284,
858,429,890,103,268,176,623,246,739,181,609,738,866,790,679,168,112,806,874,
810,952,335,838,904,249,426,546,618,791,325,034,246,298,420,241,388,742,067,
397,637,820,510,464,721,886,355,257,429,631,403,173,617,747,637,217,488,010,
375,872,475,381,182,368,800,986,405,541,713,759,367,988,189,011,938,156,902,
575,334,385,174,853,371,033,009,900,419,897,027,878,386,132,279,516,236,778,
742,610,003,282,540,510,563,026,406,150,741,321,941,513,433,873,665,152,667,
184,955,213,500,445,960,622,474,379,207,939,385,567,974,622,687,342,582,655,
795,444,271,018,804,783,436,967,005,493,766,869,694,619,022,187,667,756,570,
292,578,127,937,902,057,094,699,386,646,883,500,441,361,937,181,040,491,224,
133,065,997,352,601,992,971,022,274,822,751,774,825,077,332,755,073,386,164,
094,125,901,673,196,492,585,300,677,854,281,568,371,046,325,841,487,668,348,
589,602,573,586,288,442,345,566,123,912,355,666,051,193,472,763,536,616,461,
438,381,178,580,706,200,034,160,982,028,802,820,438,808,683,847,387,898,153,
302,754,231,217,422,822,034,485,948,386,224,786,353,296,625,399,970,898,590,
911,466,639,064,664,758,889,643,900,771,801,837,659,550,382,258,129,571,717,
094,666,692,048,482,248,241,840,488,308,977,394,175,300,873,346,654,971,769,
107,385,720,009,068,891,781,980,064,942,033,660,100,963,522,554,384,076,118,
343,389,098,037,162,707,362,110,768,507,234,663,217,723,719,098,295,509,336,
445,296,314,185,314,583,704,907,777,775,587,517,036,511,282,298,985,059,331,
721,172,220,974,531,708,297,568,816,423,702,947,714,147,157,572,216,830,737,
152,150,961,103,955,133,741,976,213,378,698,787,599,641,799,777,014,448,012,
909,155,815,391,658,297,652,351,010,135,583,514,050,372,323,387,316,978,349,
503,777,339,958,326,743,978,500,961,704,030,158,269,050,854,635,006,980,594,
175,783,979,077,101,789,855,232,335,419,646,597,880,694,019,213,210,078,042,
124,216,702,102,897,841,877,774,932,751,019,453,083,229,005,306,979,313,851,
212,301,373,436,260,256,591,202,883,936,695,170,706,576,396,019,088,181,407,
642,462,646,775,210,614,535,067,505,891,660,594,777,468,419,749,295,961,871,
418,880,458,236,538,092,182,183,451,277,428,801,851,020,558,439,637,659,593,
645,813,921,367,965,692,067,500,078,737,846,837,255,589,182,446,830,893,118,
879,712,630,826,133,944,566,331,529,113,995,462,175,468,938,827,141,233,186,
069,146,579,401,063,080,115,652,051,433,506,493,654,565,569,714,356,995,660,
811,714,126,203,807,459,458,896,097,972,647,803,876,940,825,058,940,239,160,
102,408,762,564,916,003,935,140,862,696,586,643,194,867,786,035,978,191,093,
257,470,882,627,704,227,906,401,377,975,676,952,785,280,782,594,429,636,079,
766,228,599,242,468,209,336,969,908,811,263,241,851,911,819,143,374,488,929,
874,231,097,923,358,622,858,947,715,194,219,977,718,712,262,148,551,618,470,
159,945,438,350,536,687,474,456,273,467,456,862,127,391,152,493,171,667,674,
713,610,752,696,693,250,238,052,158,554,097,844,212,783,556,598,681,934,716,
622,613,912,564,038,945,878,362,490,509,493,168,118,819,386,910,467,674,275,
840,664,104,527,678,624,272,555,815,363,186,104,965,979,900,386,749,867,056,
628,456,181,574,345,761,554,993,625,033,696,355,313,588,674,884,379,245,213,
800,941,148,054,839,081,799,515,439,346,183,288,217,056,222,335,651,586,738,
300,088,021,682,690,994,522,136,204,701,119,285,543,517,284,474,913,123,013,
571,033,271,493,091,281,555,891,905,263,588,292,800,853,474,901,887,844,586,
877,556,329,745,600,565,016,056,865,113,277,619,488,710,695,529,737,445,700,
797,217,429,291,727,858,241,705,513,811,231,878,109,788,660,472,700,316,977,
412,191,286,834,263,209,692,950,847,137,456,223,815,864,361,789,274,570,864,
705,454,031,315,913,414,425,949,320,429,158,850,813,606,097,476,049,321,230,
222,129,579,361,231,996,298,066,005,266,857,738,843,327,566,061,226,598,077,
521,992,348,907,725,174,079,419,209,837,569,359,622,352,917,684,608,470,953,
180,325,814,855,068,148,878,857,626,082,295,953,090,395,504,081,272,701,539,
595,269,203,880,079,657,724,579,033,241,487,658,849,096,278,664,407,133,921,
998,541,198,546,693,721,526,331,415,016,064,231,428,418,055,149,879,260,523,
383,688,722,891,864,129,079,154,064,225,017,177,307,538,172,315,352,569,227,
782,409,465,723,155,986,996,422,347,556,508,993,040,676,490,811,209,958,978,
826,096,571,815,968,594,255,171,034,889,277,037,023,331,914,061,451,391,558,
681,060,359,919,046,122,243,829,125,783,430,110,398,045,136,049,597,972,240,
031,852,249,635,864,446,297,532,332,816,784,647,740,381,629,893,727,454,052,
294,218,548,941,413,971,568,497,747,043,185,488,919,210,103,342,329,365,308,
101,917,361,237,238,299,785,963,253,634,775,936,574,410,386,733,721,047,189,
631,151,170,572,349,062,482,534,928,385,125,033,255,010,479,708,092,546,703,
792,903,416,698,191,608,988,031,409,314,511,258,484,070,569,151,641,683,909,
491,334,656,588,132,396,406,064,438,762,471,737,825,849,689,850,765,134,827,
543,643,675,367,670,219,629,927,283,159,349,462,537,867,146,133,844,522,653,
496,609,874,451,966,358,024,146,322,351,734,550,743,677,266,232,975,071,963,
756,282,261,572,774,492,797,421,882,468,367,118,032,797,059,851,548,423,486,
732,684,457,947,402,939,554,571,106,040,549,787,003,521,492,798,120,534,211,
353,367,270,999,508,509,770,561,351,969,861,608,853,274,200,236,778,517,702,
814,178,735,476,163,572,560,242,084,882,033,482,995,907,614,614,160,727,439,
282,085,505,564,760,675,399,019,729,522,588,693,333,580,543,820,407,212,585,
548,252,200,373,124,509,013,372,621,178,454,778,070,212,212,082,239,520,481,
082,778,571,625,061,022,887,669,528,501,382,922,750,304,081,789,129,137,293,
180,118,107,391,356,354,002,801,449,330,087,006,596,559,308,337,492,750,810,
825,881,329,150,787,447,800,719,774,612,180,022,582,556,869,681,397,033,274,
256,813,116,452,497,513,916,952,747,364,173,863,713,909,802,132,991,519,341,
337,789,648,657,241,679,030,920,546,695,590,324,051,720,532,812,011,363,497,
299,255,151,889,424,870,252,607,449,109,784,465,672,740,653,531,286,064,053,
195,626,293,554,122,508,182,743,500,551,346,623,268,938,224,933,939,855,546,
576,061,683,818,389,246,547,235,573,965,005,109,474,756,490,827,785,129,016,
102,858,794,370,056,486,626,773,080,897,616,828,484,543,161,478,263,460,055,
023,685,330,023,170,655,501,056,602,080,862,806,838,641,254,956,645,440,380,
303,709,801,132,916,231,270,044,471,678,504,338,661,731,151,261,976,964,217,
893,921,650,016,161,911,105,599,280,770,951,385,807,966,294,330,536,169,671,
254,516,704,885,421,248,431,653,654,633,351,227,338,809,533,683,204,054,058,
135,972,384,382,705,206,962,898,579,055,976,758,294,488,675,907,092,489,035,
459,324,762,363,705,133,404,030,929,264,547,206,621,590,917,360,272,669,904,
478,950,893,604,281,129,661,566,063,773,920,635,435,155,212,779,757,633,573,
516,627,722,545,285,911,706,106,680,550,310,046,909,620,837,504,033,900,104,
972,111,332,344,348,160,442,128,730,004,476,912,338,118,810,737,525,068,290,
495,325,076,821,399,334,651,191,546,546,972,804,317,277,214,024,767,628,431,
222,449,467,348,434,811,530,365,060,316,115,930,336,660,921,617,187,876,141,
894,142,943,678,743,633,386,638,315,306,152,007,674,164,142,393,151,776,964,
374,163,498,220,287,952,720,165,961,975,562,320,927,683,123,188,352,834,139,
274,943,433,551,785,259,986,139,830,612,590,418,624,325,711,285,786,795,326,
156,360,774,260,633,747,234,444,158,459,525,316,818,824,992,834,329,068,955,
079,810,073,982,961,793,290,095,428,973,157,335,488,258,398,062,761,099,054,
164,929,296,320,851,102,255,338,839,985,633,402,010,079,869,665,174,481,487,
902,367,124,730,083,739,042,676,977,594,556,532,094,092,866,385,612,570,830,
334,619,341,870,358,633,124,732,104,454,811,015,206,659,596,763,299,437,987,
550,196,003,473,140,189,199,635,646,805,391,036,346,970,071,211,416,715,458,
708,661,095,573,166,467,286,684,411,478,571,746,666,874,952,029,930,823,694,
880,515,028,535,502,232,172,510,891,419,001,001,602,071,575,249,205,127,498,
496,169,137,841,567,912,013,190,212,176,554,866,515,297,182,014,676,396,207,
686,972,774,492,382,953,490,367,971,928,352,758,498,743,244,466,430,431,359,
788,298,612,264,988,801,166,959,758,000,592,555,306,068,110,709,183,841,339,
163,124,353,632,675,713,684,653,743,076,558,812,260,025,409,192,582,094,554,
108,371,347,386,400,576,970,910,551,862,717,856,409,480,022,792,229,806,316,
648,040,212,368,872,220,170,415,504,809,661,790,144,845,588,520,284,901,718,
274,452,350,869,908,338,605,239,958,465,034,207,363,254,088,393,892,186,214,
972,467,334,572,005,622,709,920,036,229,119,470,717,207,888,946,452,160,170,
709,045,191,290,414,958,825,037,801,092,712,877,288,826,326,036,161,298,971,
928,715,301,716,654,556,395,590,937,924,193,937,838,942,777,279,094,516,537,
567,252,473,370,854,739,462,650,815,723,464,430,902,003,321,297,067,409,712,
612,030,813,493,899,763,915,567,201,306,389,971,805,295,692,039,026,256,637,
526,223,636,474,768,954,150,176,064,609,018,128,844,940,906,834,191,987,728,
710,771,102,558,187,650,668,762,453,482,163,627,733,999,498,616,538,532,421,
633,426,188,414,074,900,231,809,741,982,150,914,990,567,333,389,478,561,884,
674,725,486,621,064,925,141,980,278,855,908,142,170,927,901,164,341,125,526,
557,434,669,049,277,058,074,737,359,718,599,829,574,312,742,581,602,401,470,
436,964,438,942,918,672,468,635,220,531,707,759,061,800,318,488,140,769,993,
451,142,373,972,838,422,396,797,845,726,036,485,295,462,586,243,625,433,950,
469,465,123,915,658,347,279,817,867,798,525,184,106,078,887,725,964,355,178,
039,890,017,271,214,783,228,003,666,276,715,793,099,045,871,265,924,708,881,
010,470,698,225,669,862,001,902,595,953,424,765,660,779,007,898,203,020,683,
886,499,253,427,453,306,756,515,141,981,267,134,786,930,808,439,970,560,467,
740,905,403,371,365,304,836,816,624,110,083,381,410,928,113,061,644,020,038,
541,260,766,230,105,570,053,373,511,622,241,403,951,586,073,555,117,661,072,
188,315,250,024,483,221,079,884,654,689,201,915,137,510,848,499,959,901,087,
868,928,774,255,537,727,117,360,076,598,154,783,983,553,683,754,250,437,436,
735,125,528,345,620,955,219,529,627,990,748,020,729,110,379,714,654,947,711,
493,718,505,696,259,287,343,691,881,834,948,974,550,284,813,551,827,636,422,
482,728,709,430,565,684,728,891,963,834,098,418,345,777,195,379,736,582,732,
967,659,947,521,913,180,593,663,263,993,803,849,457,341,597,449,855,520,241,
162,217,639,638,423,880,618,722,217,552,146,164,458,861,815,220,091,222,664,
556,830,116,020,235,483,057,343,826,885,206,181,420,063,366,251,278,033,909,
714,894,166,891,826,571,995,580,387,039,151,675,605,920,602,147,492,683,262,
088,033,414,634,023,640,853,212,400,845,907,905,529,456,637,437,609,326,274,
922,462,864,210,608,891,518,543,673,527,264,127,972,191,507,747,472,362,754,
105,737,904,082,995,580,164,798,761,822,250,543,580,719,731,212,180,586,762,
948,372,850,699,002,948,971,735,293,793,128,828,361,166,560,495,209,928,510,
425,197,008,857,577,159,487,581,296,277,544,332,669,905,286,663,093,849,397,
922,117,404,021,668,882,875,530,806,100,909,384,004,950,276,207,038,247,109,
382,460,419,849,452,475,967,210,432,680,408,162,813,639,825,731,770,776,236,
248,739,536,869,696,507,760,158,325,700,115,016,465,469,310,068,411,499,700,
977,769,683,569,806,027,429,008,314,699,605,496,752,096,857,970,525,744,951,
733,924,256,359,851,356,023,699,672,172,949,090,310,680,744,253,597,802,021,
630,204,985,092,226,654,585,834,752,065,671,454,087,542,166,388,608,366,465,
215,608,321,432,551,165,149,081,761,874,861,147,644,429,398,672,568,997,528,
078,422,731,251,514,079,382,003,957,695,361,615,375,334,413,527,394,012,155,
430,926,125,611,855,321,026,354,082,067,225,437,581,314,631,455,833,977,923,
085,925,016,625,227,176,740,825,567,727,435,561,934,607,189,702,831,207,242,
838,004,414,591,575,115,028,769,622,369,567,370,354,685,736,888,370,576,161,
772,693,018,816,157,137,966,351,951,219,235,702,407,290,162,179,260,690,543,
619,711,837,337,793,211,060,505,252,674,510,399,864,989,854,029,612,630,188,
955,631,325,940,054,645,960,902,999,723,387,551,653,287,373,132,657,942,851,
479,411,853,313,122,765,346,632,375,062,874,239,494,872,442,741,324,425,915,
640,293,717,395,291,351,460,195,550,073,513,012,480,811,721,075,867,906,341,
442,861,590,622,018,074,711,093,677,787,350,027,489,096,263,359,008,579,373,
652,093,020,207,059,148,976,102,990,043,241,929,565,612,190,061,885,168,301,
671,027,820,092,659,792,494,574,859,722,965,011,567,634,094,698,878,874,040,
279,727,507,355,979,809,891,771,536,763,501,218,251,505,594,586,015,216,930,
845,428,479,146,715,490,273,464,678,328,480,327,407,919,598,153,673,695,834,
466,354,975,168,941,489,349,543,598,486,612,350,440,104,240,954,366,457,973,
022,327,606,888,274,116,579,827,332,092,940,776,557,229,718,154,253,641,721,
062,688,556,730,541,111,906,588,937,217,734,365,635,989,941,625,972,404,813,
643,075,982,427,452,196,144,395,901,748,832,203,270,610,709,205,698,206,251,
834,681,091,685,134,476,546,341,852,533,915,122,935,018,471,051,733,312,082,
096,722,803,438,124,956,721,181,409,579,811,983,988,212,149,737,002,712,269,
009,821,422,017,467,508,442,520,031,111,984,252,489,816,978,314,675,112,028,
962,454,033,357,233,497,604,758,570,448,661,781,699,044,699,024,228,072,004,
670,813,347,499,658,876,088,814,004,193,388,514,970,292,326,307,343,525,321,
300,012,193,114,008,411,249,643,669,189,707,949,117,792,007,022,704,565,866,
600,984,973,928,683,656,357,575,895,274,950,526,893,344,171,569,004,039,597,
541,213,574,760,529,627,427,415,747,560,001,275,385,913,388,818,435,610,302,
450,974,891,309,080,965,996,692,975,913,472,416,392,497,622,797,533,879,628,
015,729,265,137,507,734,684,407,436,311,914,117,715,010,010,648,064,414,164,
532,232,473,468,564,215,738,585,602,981,087,487,330,441,149,822,657,111,762,
654,862,235,962,287,380,376,028,981,349,942,918,968,495,871,084,494,339,012,
247,439,029,875,166,647,174,357,921,740,505,698,888,113,565,303,451,258,862,
694,175,373,877,919,512,770,694,651,693,372,022,687,602,724,189,273,455,778,
439,957,075,252,926,705,710,439,996,052,123,729,237,494,758,480,907,048,289,
037,356,947,291,284,126,949,552,515,344,957,599,069,240,948,879,384,749,644,
223,442,210,942,146,876,200,585,133,437,227,545,187,561,827,922,734,607,805,
464,395,037,034,999,117,000,170,963,740,778,733,507,170,463,699,026,046,657,
961,099,789,152,524,201,835,014,546,790,786,649,198,769,043,970,494,189,380,
511,614,060,719,479,883,103,125,182,121,977,491,651,236,686,009,746,131,633,
369,426,184,540,446,281,262,755,668,635,305,642,992,835,864,116,131,045,034,
379,962,474,412,591,350,626,656,895,894,311,722,335,841,399,645,150,674,907,
909,120,618,875,848,492,348,057,760,246,500,620,242,652,205,370,456,848,124,
137,664,068,101,962,020,570,880,267,278,302,032,384,676,797,558,742,948,109,
779,156,940,890,160,365,153,681,453,729,710,115,607,660,364,242,186,686,409,
606,065,694,358,171,613,723,604,709,126,315,601,846,667,136,959,979,385,798,
526,053,441,877,546,026,558,385,365,817,060,272,610,862,185,559,800,896,664,
211,041,689,762,965,478,417,620,665,132,722,179,416,727,516,940,137,409,405,
069,593,232,045,606,894,263,004,705,705,265,152,776,498,969,985,562,395,842,
099,317,177,402,154,366,845,231,505,436,852,229,413,942,421,471,512,409,675,
117,531,609,318,343,172,489,187,090,894,807,426,924,166,575,537,236,242,695,
841,891,451,929,862,352,377,383,395,602,255,611,376,362,636,091,824,248,898,
538,023,076,485,662,447,499,044,894,524,404,164,078,343,015,173,869,419,487,
855,133,064,781,854,570,535,539,723,402,604,480,586,201,701,299,686,172,406,
817,668,751,460,654,854,020,537,059,901,272,185,390,506,972,452,773,555,588,
925,800,490,637,355,493,707,426,800,601,018,175,432,754,357,600,328,146,976,
706,800,441,076,465,620,810,791,710,479,642,495,826,575,935,525,329,676,544,
369,207,715,653,239,247,943,834,827,104,746,978,164,436,628,633,748,681,363,
055,750,771,360,943,482,216,769,772,242,592,286,415,028,749,323,908,663,130,
442,102,307,887,614,701,410,801,043,233,174,357,274,377,400,571,735,065,690,
527,335,004,812,964,649,502,963,107,145,208,322,459,860,810,341,813,520,937,
580,523,970,709,653,835,452,155,052,896,364,490,415,281,138,964,213,630,557,
880,651,474,564,159,973,532,339,480,296,039,528,409,484,775,590,763,226,156,
367,879,636,967,305,819,013,878,736,006,103,594,346,133,510,050,163,444,249,
066,995,333,139,129,728,817,671,704,476,972,342,140,690,468,531,109,222,975,
561,931,524,317,644,400,922,700,945,373,034,658,542,614,677,812,140,817,195,
443,352,490,166,550,734,459,621,742,894,930,886,799,102,277,131,885,609,383,
442,783,900,761,548,571,454,237,955,412,126,466,067,173,581,730,045,901,925,
136,654,514,625,563,297,476,670,373,140,195,570,528,601,484,361,328,663,163,
443,211,166,894,748,126,431,512,623,233,258,586,445,338,971,848,735,200,797,
662,971,689,724,169,033,920,748,287,555,636,895,743,827,185,939,383,769,065,
210,880,809,872,735,372,384,205,061,669,064,740,417,458,378,196,783,285,987,
706,966,985,878,223,046,836,957,462,053,915,246,821,585,792,314,991,527,801,
835,714,668,683,832,858,440,164,743,801,203,400,473,239,925,385,817,081,022,
224,962,412,123,981,906,623,769,039,794,776,988,919,497,750,296,013,809,337,
103,220,302,531,482,573,357,574,073,707,645,025,069,663,932,643,116,366,778,
372,928,487,485,787,331,899,588,774,987,242,608,021,000,166,152,909,937,384,
312,035,507,135,196,764,449,227,535,054,738,953,515,278,186,287,694,117,482,
158,251,423,856,986,281,699,514,544,142,418,400,623,798,611,852,515,835,634,
205,754,702,703,307,124,427,427,325,876,466,914,411,313,832,340,773,459,936,
394,604,223,713,149,409,759,077,411,129,829,656,173,671,671,102,352,825,238,
742,118,756,093,987,057,126,249,895,322,723,133,833,681,807,911,545,403,231,
184,003,570,336,201,011,855,405,439,320,409,394,200,977,934,485,597,711,952,
340,496,989,313,811,535,838,352,783,359,902,650,084,470,984,426,780,115,589,
213,535,738,825,779,628,582,741,372,054,947,915,371,864,826,556,942,244,604,
959,112,707,211,838,728,855,202,805,192,185,790,355,444,360,868,514,733,838,
776,782,831,675,163,884,262,398,038,696,486,177,821,523,385,004,588,195,037,
525,977,995,363,530,737,805,544,167,389,845,790,923,657,242,744,183,976,332,
712,883,049,165,433,369,956,994,641,028,362,052,653,324,462,143,823,629,003,
908,382,467,060,484,532,380,006,492,613,360,566,721,191,058,131,583,742,722,
706,213,300,788,859,860,799,556,749,392,318,995,810,735,040,512,402,652,304,
465,691,227,751,308,332,315,369,936,422,701,411,066,551,766,703,068,302,159,
577,034,583,632,879,897,338,054,731,113,015,121,249,585,036,967,868,212,928,
638,330,032,592,604,849,816,198,140,392,708,296,135,122,144,738,915,185,812,
801,801,044,547,932,449,905,309,254,382,772,936,720,014,785,679,416,618,107,
617,405,909,811,976,671,434,081,712,873,598,371,261,810,794,478,302,490,644,
629,630,300,189,928,545,455,135,659,483,159,705,704,129,658,973,907,883,031,
187,705,461,888,603,483,250,977,010,792,481,617,686,775,921,635,000,882,816,
522,731,957,905,775,104,491,613,566,059,320,194,171,326,764,968,382,808,442,
245,574,867,487,195,906,735,450,623,353,938,798,914,495,458,756,325,641,456,
983,420,276,545,417,745,677,937,732,184,276,544,159,412,388,690,076,881,998,
945,290,997,710,954,385,236,885,167,776,886,546,551,371,426,734,823,093,941,
838,619,507,384,804,350,838,376,219,997,230,498,078,058,893,044,096,037,578,
340,677,812,195,657,732,023,564,073,519,010,571,462,932,889,081,891,368,959,
586,617,972,347,311,243,672,440,301,173,931,840,693,839,805,835,881,551,982,
214,983,687,124,922,446,735,909,246,678,419,169,223,445,321,952,239,523,527,
231,739,287,380,949,088,532,307,786,589,216,165,686,254,843,885,853,253,655,
990,908,671,805,615,292,359,139,508,866,926,072,772,172,390,079,330,705,282,
340,338,390,768,151,777,703,685,433,910,009,368,811,553,049,015,533,946,589,
537,699,216,090,091,367,390,891,304,706,761,757,198,659,465,047,550,322,678,
083,847,894,952,266,138,164,911,257,050,050,316,746,880,715,736,386,599,293,
804,157,377,386,416,791,547,881,876,492,893,732,968,508,581,194,948,172,840,
406,263,654,722,730,979,659,998,797,554,309,305,733,513,085,010,909,010,103,
767,634,847,241,009,226,105,170,115,962,887,550,412,048,057,993,535,300,551,
542,863,571,663,380,632,174,144,957,194,524,052,642,163,218,980,222,508,756,
557,327,248,489,269,396,598,182,598,314,112,852,155,350,975,956,266,261,533,
567,529,233,893,371,999,530,966,622,155,040,684,768,644,740,402,596,758,230,
604,466,988,821,091,743,506,633,005,248,761,257,095,770,451,282,708,613,754,
745,260,783,881,557,704,527,180,964,156,889,396,710,930,413,652,972,589,783,
880,725,238,892,426,689,111,519,984,521,524,185,147,658,474,963,415,244,473,
557,851,055,414,311,723,768,920,232,154,208,981,853,983,132,280,569,979,921,
171,444,427,855,654,222,321,937,905,055,863,606,260,855,922,233,105,717,495,
123,258,214,718,126,058,448,695,510,910,010,221,218,748,893,887,133,107,020,
817,040,874,472,363,760,079,751,390,559,231,997,492,599,493,028,818,804,009,
347,242,825,436,927,166,918,884,505,694,025,770,105,435,709,410,004,925,101,
803,671,385,903,436,990,452,348,270,116,129,410,912,143,047,181,931,695,512,
109,068,909,909,908,552,243,513,893,832,712,457,292,451,268,661,591,469,356,
762,314,279,689,126,701,444,794,095,791,973,825,106,980,110,440,318,020,259,
456,587,354,373,435,009,843,795,682,758,164,254,326,174,870,409,220,384,567,
238,415,459,129,035,502,695,102,541,849,629,658,156,832,126,256,636,560,167,
233,570,617,058,222,119,841,974,932,003,234,260,806,635,532,400,410,811,916,
793,670,367,756,608,619,969,815,879,226,444,046,709,553,866,269,237,081,266,
085,424,328,970,986,022,966,511,343,028,763,635,140,903,226,445,211,720,359,
871,581,021,840,430,103,488,854,472,178,946,764,900,422,918,684,186,361,512,
609,997,777,348,810,591,320,400,948,661,115,526,011,296,140,818,953,809,375,
585,153,726,663,228,729,540,457,166,637,918,419,455,680,612,688,488,765,942,
279,184,279,762,695,853,517,023,637,795,498,973,593,251,678,972,269,042,969,
306,939,904,969,789,118,538,168,746,595,969,014,537,475,290,662,597,645,282,
821,818,000,480,550,249,694,677,841,840,292,530,732,928,188,121,232,548,643,
697,341,318,538,093,246,517,769,049,135,340,258,017,124,659,893,114,576,603,
390,003,024,973,079,353,523,370,113,466,201,801,327,961,696,904,196,495,591,
860,302,431,059,341,698,958,224,087,013,460,251,547,290,850,750,601,883,653,
363,584,650,478,910,967,097,678,069,341,964,412,695,047,279,676,675,245,175,
898,395,041,972,945,608,199,063,958,489,587,760,488,526,653,508,486,031,835,
828,456,272,521,513,353,250,015,814,236,312,237,742,758,136,275,107,227,445,
331,786,098,788,702,065,052,662,469,644,897,166,529,582,916,464,175,852,145,
063,994,759,774,415,307,605,439,879,621,615,196,999,525,530,484,060,785,549,
814,909,583,839,268,631,323,641,174,295,206,686,075,509,540,424,935,273,900,
438,453,845,665,725,963,357,639,749,539,385,418,304,502,293,894,685,226,193,
804,255,032,087,573,882,616,698,522,107,787,906,787,623,646,436,698,990,490,
573,310,145,252,951,144,564,370,559,464,813,204,055,331,695,736,111,489,731,
688,460,579,383,570,897,734,191,906,502,118,917,507,068,059,836,135,946,549,
423,434,186,892,069,851,197,188,982,756,450,669,657,148,016,483,423,227,563,
357,122,761,028,606,157,182,974,526,119,836,182,407,610,087,884,651,097,071,
023,178,488,938,737,975,154,985,483,964,961,793,942,168,046,790,195,550,790,
957,619,991,138,884,435,327,813,311,414,820,759,838,985,691,454,240,057,092,
908,488,426,669,910,557,439,761,430,934,536,889,635,372,719,764,903,075,813,
348,177,800,616,033,930,412,484,520,049,981,519,998,072,729,921,471,599,753,
691,063,178,935,962,727,400,516,212,549,352,626,997,165,773,206,227,142,870,
854,698,617,711,795,030,871,949,819,820,689,632,127,681,089,626,565,112,340,
382,104,511,894,099,011,185,753,472,567,776,040,869,155,532,548,421,027,258,
834,779,383,033,421,556,279,188,713,146,540,211,915,540,302,362,195,373,199,
601,511,835,839,960,337,028,566,073,052,953,850,491,955,466,063,031,861,567,
506,385,181,635,239,783,124,414,457,451,150,210,831,729,270,683,521,153,616,
761,485,552,828,371,201,663,948,883,819,713,842,560,545,826,918,591,764,777,
034,316,166,785,707,235,350,381,875,730,295,628,841,203,448,686,298,624,169,
193,839,376,855,676,307,770,623,282,605,715,972,616,167,674,280,143,040,656,
162,734,458,565,545,056,197,875,246,255,721,065,533,058,138,676,398,135,102,
996,567,109,805,590,753,063,770,574,957,120,301,399,113,045,076,655,934,282,
349,766,781,448,292,949,313,395,900,376,307,897,705,996,525,994,421,925,415,
104,108,143,723,985,162,097,504,639,078,714,347,061,805,458,982,264,856,725,
576,225,063,511,464,043,291,508,764,518,224,247,710,810,927,070,402,645,273,
201,841,302,791,232,218,336,546,146,761,848,592,925,590,104,319,663,719,344,
755,643,740,081,403,519,714,179,457,794,878,901,931,452,553,118,859,660,345,
450,601,641,049,983,835,377,501,669,016,993,350,471,675,913,564,667,144,407,
488,989,323,716,272,260,994,854,127,077,767,575,135,694,833,578,357,200,856,
126,304,216,635,392,614,967,030,626,375,581,553,641,460,655,403,304,914,426,
833,190,693,739,752,959,032,085,188,343,611,522,618,757,876,769,437,339,135,
440,148,553,088,118,308,470,696,102,559,648,893,500,440,467,094,379,357,027,
172,464,175,593,087,867,023,241,670,865,676,643,416,129,265,299,080,080,789,
067,411,401,459,716,119,007,439,756,051,963,052,988,592,930,665,667,209,723,
405,857,740,016,368,681,941,085,235,697,888,172,886,297,973,429,273,989,774,
468,778,475,911,133,883,369,026,596,359,304,054,760,497,824,822,647,081,424,
902,205,749,162,128,295,884,841,658,463,799,311,194,333,203,100,698,648,388,
121,609,803,112,360,203,410,171,827,416,822,823,974,607,690,182,723,806,149,
721,285,184,692,201,200,814,624,824,680,937,521,954,318,893,605,140,425,661,
007,620,310,500,498,508,365,263,387,868,817,875,560,885,914,536,267,434,426,
572,699,788,894,726,473,387,792,600,196,317,375,476,151,384,649,628,291,604,
725,247,230,223,086,759,910,799,026,244,330,594,070,286,030,524,239,505,885,
614,436,438,444,127,742,430,765,628,317,261,868,292,781,832,248,125,267,009,
469,512,204,780,915,843,821,854,635,834,823,841,173,480,142,206,374,970,211,
538,870,235,139,919,253,951,246,449,706,561,663,051,357,909,161,266,211,537,
049,081,255,435,317,069,921,126,590,126,590,630,248,986,889,847,533,832,225,
558,522,683,054,350,166,912,335,901,287,954,446,595,888,684,516,854,026,020,
461,737,286,786,147,780,553,748,084,544,530,466,112,268,225,610,468,789,169,
617,690,796,122,691,021,146,865,495,568,366,208,247,531,356,133,902,736,671,
007,438,162,042,617,928,392,313,151,826,468,418,658,596,142,944,431,285,097,
129,408,487,589,531,110,411,190,128,348,512,529,050,458,238,182,695,747,555,
966,633,178,050,298,142,901,318,331,474,836,617,967,998,533,237,618,086,420,
811,798,453,085,917,484,107,289,885,283,390,707,462,189,497,001,511,202,172,
212,417,903,175,898,477,445,035,263,613,491,853,885,583,896,590,366,656,615,
828,628,130,457,599,034,134,278,403,313,467,730,134,504,825,064,429,574,059,
280,372,331,397,232,660,079,357,414,796,997,502,144,252,631,173,104,608,863,
457,304,987,942,048,381,155,611,853,893,941,914,398,069,668,626,259,274,183,
117,303,587,322,142,035,090,108,579,444,660,493,652,657,252,561,715,424,261,
191,356,862,635,347,267,766,066,736,369,357,929,889,071,975,554,128,996,183,
625,488,368,554,810,417,861,007,445,983,518,414,007,121,655,232,341,718,602,
131,530,845,308,230,845,418,151,909,528,999,949,622,949,054,790,780,210,253,
665,604,780,934,518,183,447,573,470,758,944,921,988,660,446,876,304,437,666,
473,991,233,286,426,505,369,543,980,780,067,929,960,630,194,185,190,148,125,
567,374,641,198,584,402,923,553,615,781,075,884,474,109,789,318,679,876,343,
258,880,672,598,991,587,647,740,708,123,208,293,204,259,609,306,129,306,957,
746,734,262,099,050,126,949,087,795,289,158,527,121,115,070,615,886,854,944,
435,413,984,234,729,128,436,349,326,349,065,824,206,466,924,034,578,033,187,
184,755,214,364,903,551,090,985,176,661,614,666,209,198,958,613,731,423,078,
766,381,223,806,228,358,989,482,598,842,045,268,885,802,311,215,744,204,049,
847,460,563,388,863,642,147,365,357,160,927,945,275,719,527,644,703,490,619,
839,280,368,747,573,718,830,286,402,771,907,835,299,570,698,984,554,316,373,
869,268,692,471,508,300,574,626,356,543,802,271,429,611,643,184,056,129,592,
654,279,234,223,576,726,720,505,404,144,597,861,815,715,251,516,373,362,960,
920,308,582,306,154,637,629,374,082,090,545,142,337,221,930,557,468,749,693,
587,056,517,971,145,385,055,713,128,111,711,622,154,918,182,807,656,408,244,
200,066,667,947,265,603,156,631,428,768,089,931,643,749,004,017,782,297,266,
287,954,947,335,572,786,360,747,848,914,054,429,073,741,822,406,094,927,941,
207,258,634,235,089,699,772,237,564,341,412,396,713,630,170,327,047,822,585,
308,939,920,563,677,560,021,990,768,689,428,245,719,753,116,758,755,110,438,
220,298,160,543,424,527,000,881,703,919,951,880,527,689,697,665,659,375,345,
582,422,752,448,381,667,983,455,502,946,508,358,728,087,026,474,684,318,827,
330,229,162,541,740,541,717,958,219,270,261,775,460,915,524,354,513,489,173,
131,326,264,066,737,792,837,604,178,765,904,395,876,778,058,306,221,413,003,
255,780,181,341,521,453,934,393,843,348,612,642,354,924,950,009,486,428,295,
164,748,642,686,361,398,378,614,443,607,796,462,933,141,407,501,121,290,975,
635,709,227,975,124,071,736,146,699,962,881,773,513,312,736,069,491,353,647,
772,975,920,256,068,099,213,846,555,964,537,475,785,966,486,097,065,098,328,
529,740,191,795,176,143,826,380,788,448,155,638,400,835,243,167,570,559,496,
593,935,974,482,655,186,294,850,112,809,900,059,277,681,584,292,879,421,135,
902,012,991,212,733,795,245,497,473,330,947,369,962,570,831,320,528,537,689,
876,568,137,001,433,304,328,700,006,162,666,904,225,709,589,511,013,504,478,
254,708,328,276,191,682,858,290,417,322,723,307,056,359,010,440,396,670,175,
313,015,175,472,246,756,132,903,967,414,217,431,916,868,782,461,157,286,212,
220,193,701,562,824,727,829,684,030,559,048,234,275,537,776,706,516,550,335,
053,008,853,571,181,681,687,445,204,000,181,846,342,406,588,622,025,468,459,
605,996,496,431,383,747,200,954,431,360,306,387,305,578,025,572,390,405,988,
294,040,879,987,081,914,618,361,198,907,646,169,430,372,857,693,181,074,619,
473,937,208,470,157,915,803,975,866,861,210,224,599,265,417,300,568,809,581,
045,982,590,435,548,685,243,679,395,189,196,121,552,496,520,962,221,124,451,
111,183,206,851,040,306,352,251,624,530,397,241,682,932,187,015,419,564,601,
437,844,947,117,103,831,365,665,199,122,047,374,967,260,931,861,935,671,779,
501,734,432,371,358,729,452,058,425,866,010,113,853,460,702,179,820,130,731,
913,141,030,217,334,262,930,623,909,482,304,837,048,583,993,094,185,637,789,
570,587,697,795,919,422,900,294,660,117,685,587,110,732,196,986,463,682,203,
490,827,682,676,378,105,121,975,313,011,971,480,212,399,640,843,688,082,582,
354,723,707,711,798,409,231,633,411,009,950,636,634,621,436,572,209,968,654,
662,163,674,921,357,197,711,870,942,808,897,831,044,526,999,335,120,911,075,
678,927,483,559,886,847,441,515,572,935,120,637,714,177,588,251,062,070,004,
072,086,564,117,139,810,200,656,786,360,218,459,588,094,964,748,198,107,587,
985,576,226,608,013,933,404,468,244,027,758,844,078,431,939,205,763,097,405,
774,772,876,170,589,615,455,237,506,495,680,100,921,722,640,328,190,809,307,
187,781,409,559,199,203,463,278,575,951,581,055,421,013,921,152,264,664,883,
026,100,686,168,341,202,473,762,471,082,344,167,061,649,820,758,995,271,560,
554,504,680,366,640,859,792,755,527,272,079,433,878,665,767,976,001,294,696,
537,279,808,692,975,059,566,597,291,537,467,980,123,028,412,450,669,714,591,
159,246,403,945,991,626,662,508,106,246,567,458,254,215,309,293,074,373,108,
619,253,140,671,147,429,988,568,797,567,277,390,765,214,544,579,160,508,601,
127,392,436,071,085,159,339,130,273,594,147,301,324,196,183,126,060,741,943,
711,134,778,741,406,667,180,992,332,797,137,275,929,234,306,497,405,687,643,
314,061,214,732,325,326,621,361,246,764,628,652,522,596,639,086,268,679,111,
031,288,767,796,571,975,295,270,666,551,426,206,569,225,627,879,737,480,292,
758,534,434,528,041,346,571,138,926,824,461,240,513,539,486,952,817,923,832,
433,362,187,052,228,394,687,084,794,305,398,891,695,561,132,354,553,202,683,
138,298,282,412,043,965,267,136,039,502,870,182,112,771,714,324,350,959,342,
594,831,487,923,739,579,023,743,573,743,688,375,109,518,018,104,459,597,862,
511,303,949,593,216,960,668,052,720,257,809,702,979,189,555,420,272,822,590,
346,248,589,161,113,430,543,451,188,549,047,751,477,105,248,540,996,493,580,
337,432,644,739,265,183,721,735,658,780,325,924,546,925,680,602,175,912,617,
333,887,165,473,351,112,671,087,824,133,552,980,416,166,343,934,653,981,026,
685,212,058,613,746,470,607,866,035,802,523,429,460,515,604,200,506,908,424,
686,212,286,052,618,794,987,756,125,774,645,031,192,421,573,615,102,154,989,
414,601,361,285,283,475,813,406,960,529,532,845,858,389,312,585,113,966,621,
664,416,358,841,010,398,571,956,441,588,965,257,329,092,919,251,396,238,136,
401,690,436,653,521,410,686,428,120,363,472,328,667,820,911,434,456,222,334,
584,168,493,471,700,445,281,004,561,975,586,644,589,889,830,846,991,136,038,
909,084,624,586,076,237,804,088,664,450,943,893,950,743,603,730,568,814,044,
575,930,810,486,412,017,242,733,853,783,359,407,518,413,865,610,892,921,087,
836,136,903,659,640,108,900,380,591,209,581,656,655,375,914,080,696,110,276,
219,580,209,677,944,754,592,968,770,222,178,661,603,800,973,652,767,351,695,
145,130,437,447,055,765,382,346,687,098,638,880,034,538,065,013,122,084,739,
694,216,586,227,888,793,027,853,094,557,595,087,178,696,461,670,061,219,095,
874,588,862,157,841,745,213,238,567,658,906,959,986,848,139,352,155,900,347,
750,568,787,170,912,729,145,484,664,172,455,941,744,765,933,125,496,767,250,
345,509,292,066,816,693,216,381,335,946,896,789,721,709,909,180,228,270,238,
429,681,839,585,871,777,606,411,715,743,624,083,760,310,749,584,086,857,040,
071,724,947,684,137,439,720,268,959,018,565,172,279,426,824,972,947,393,064,
581,983,954,396,673,439,544,734,884,670,544,663,993,996,475,618,531,963,477,
416,472,164,535,603,048,585,736,423,526,367,001,760,209,582,292,325,304,960,
026,959,640,251,458,193,320,573,088,646,036,660,264,198,473,449,377,422,079,
175,563,341,168,314,137,223,754,483,751,718,174,917,063,097,435,697,753,628,
194,194,370,092,131,585,542,717,157,291,450,750,955,054,103,735,903,669,221,
389,364,729,285,239,991,862,875,487,984,151,570,586,705,258,209,362,980,583,
609,447,787,101,159,283,432,726,654,311,268,127,814,514,753,363,908,381,895,
896,499,190,034,456,678,806,520,186,075,600,407,907,528,421,943,000,288,134,
487,265,488,336,054,877,124,596,812,968,659,126,760,178,972,026,309,257,556,
313,074,931,341,478,370,781,448,688,205,068,780,692,440,689,681,366,325,816,
307,065,080,504,176,418,792,454,305,929,302,829,543,924,462,093,774,951,208,
195,148,594,911,506,957,332,231,919,855,222,468,313,485,252,872,669,639,405,
528,226,950,845,680,120,115,264,563,580,308,152,115,652,194,835,961,466,435,
066,797,149,065,111,564,692,192,836,215,597,609,586,517,537,920,821,107,847,
389,029,957,527,460,932,316,847,670,703,760,659,305,359,973,720,867,738,726,
174,573,542,399,390,434,832,446,784,902,947,631,299,347,315,372,873,254,424,
167,640,694,437,535,296,593,567,944,192,953,329,476,610,543,924,028,962,020,
150,495,802,316,165,985,749,856,708,787,153,458,857,290,471,438,378,043,294,
725,318,018,782,417,002,245,167,250,526,119,466,173,917,781,140,664,355,193,
234,101,179,124,985,975,850,278,823,423,998,808,694,315,389,712,600,072,811,
992,259,382,313,346,941,486,444,617,718,276,268,396,954,816,592,402,317,881,
784,715,553,014,218,761,347,984,786,520,213,612,671,628,915,076,035,590,285,
437,822,824,817,049,242,017,661,748,466,914,305,518,033,969,578,239,784,667,
312,579,886,233,464,828,043,203,285,148,035,981,885,656,765,484,794,044,163,
825,482,192,868,856,765,576,166,003,299,312,976,776,050,977,860,480,566,520,
120,759,143,525,092,242,139,651,931,030,329,861,402,197,415,426,502,587,746,
164,271,500,320,046,139,135,619,340,155,301,670,569,119,237,068,839,097,590,
939,937,476,597,186,810,136,869,275,861,360,870,835,664,655,127,338,002,370,
697,140,250,725,048,883,398,623,673,725,666,507,224,638,549,686,743,894,221,
622,327,099,129,009,355,264,849,669,142,065,041,447,124,857,629,271,809,421,
465,608,822,181,941,261,462,124,911,336,569,000,682,137,537,294,175,557,651,
621,829,608,967,757,946,178,674,878,943,005,316,895,033,922,011,710,815,414,
341,708,371,399,169,312,644,202,456,852,194,032,198,270,833,889,451,168,316,
017,671,007,672,906,444,096,624,436,694,466,946,174,195,587,482,074,883,957,
132,850,038,592,939,957,081,157,897,274,423,061,323,488,075,063,075,519,842,
832,579,493,449,597,353,739,278,974,469,092,895,770,653,374,246,068,040,410,
231,123,922,904,701,575,641,202,678,379,858,637,407,131,845,967,996,064,837,
668,053,871,119,865,917,372,083,956,457,444,274,015,023,997,783,918,265,018,
492,797,401,813,490,439,196,910,359,453,893,762,252,239,348,418,439,627,706,
588,795,881,768,115,638,729,172,906,209,938,884,088,779,014,316,657,363,892,
757,340,307,164,184,075,161,119,841,079,349,697,894,017,920,760,255,223,210,
415,426,326,815,884,043,296,636,839,378,483,393,635,729,713,913,097,430,614,
659,740,669,755,746,812,169,509,920,520,948,264,433,202,247,545,792,195,581,
521,828,619,192,106,851,831,046,607,145,010,575,468,757,256,123,559,794,059,
946,649,416,751,242,515,476,653,412,807,051,183,793,087,040,024,144,347,284,
391,757,316,891,866,496,636,811,933,675,908,373,929,203,952,063,446,009,666,
376,457,330,896,593,993,603,655,041,779,077,984,790,893,851,638,509,851,807,
918,443,420,249,737,379,568,195,074,812,926,864,507,271,514,697,125,800,200,
821,612,178,820,316,874,270,271,261,453,536,270,800,072,233,914,116,075,641,
626,037,838,211,509,835,470,201,490,392,828,260,722,619,136,908,863,990,224,
324,838,861,994,798,606,791,009,118,944,689,171,541,045,924,528,894,444,996,
109,723,669,959,960,717,342,158,746,297,089,250,389,618,442,836,163,811,216,
705,197,214,442,541,331,922,495,599,254,035,010,238,299,799,919,688,344,972,
345,750,904,497,920,910,375,082,276,697,224,745,644,788,658,343,167,998,317,
202,859,550,425,461,112,243,032,223,320,867,220,519,852,235,483,461,762,967,
814,029,649,412,294,167,090,399,500,872,849,118,846,563,838,478,968,501,980,
710,482,823,223,502,289,817,841,024,095,467,559,454,087,333,038,427,165,960,
230,970,546,061,600,010,757,497,967,610,152,694,494,511,584,181,563,210,484,
115,289,781,932,631,853,708,723,887,844,812,509,013,544,693,929,989,919,731,
878,132,149,673,066,389,209,626,001,987,265,856,518,041,411,527,780,076,361,
782,286,406,800,454,843,321,741,750,785,022,566,414,439,321,268,532,219,728,
109,663,046,034,188,863,677,044,099,271,837,069,602,456,474,766,179,701,176,
088,591,495,783,091,252,214,217,528,574,241,671,930,835,647,457,470,218,326,
777,727,362,314,530,202,057,054,489,089,036,238,683,441,840,361,829,842,312,
650,641,327,267,191,907,328,647,548,866,507,898,441,205,798,069,863,890,584,
502,593,168,616,549,008,986,838,169,209,053,927,028,618,607,903,399,491,778,
572,536,291,905,642,158,514,368,738,388,894,995,241,874,238,205,165,045,899,
856,102,538,146,545,084,087,295,293,684,560,321,588,516,508,687,709,439,782,
927,730,070,484,544,668,005,951,668,795,580,535,162,376,761,035,466,322,497,
077,254,206,296,070,552,444,542,347,099,561,438,124,751,779,963,809,939,739,
007,459,322,726,808,329,585,231,767,533,722,880,597,025,598,348,287,941,827,
324,475,811,468,712,523,758,190,988,505,239,183,396,392,375,930,875,708,542,
103,018,050,767,123,116,590,745,440,203,710,440,570,529,096,863,103,185,618,
527,690,352,268,304,221,280,530,035,456,525,383,591,558,186,632,431,972,846,
924,927,541,903,221,488,238,915,291,339,609,534,411,615,184,621,510,402,117,
784,678,843,831,032,590,939,847,198,064,110,803,864,634,247,288,430,953,129,
465,553,775,387,259,408,510,755,739,525,706,103,704,193,896,088,842,036,359,
016,887,242,768,271,704,071,863,082,839,006,078,239,482,455,875,099,068,105,
605,309,609,790,371,988,067,407,406,841,814,594,328,991,498,388,895,571,364,
455,947,754,624,601,968,917,306,369,559,876,432,771,249,083,907,923,188,303,
609,582,412,249,651,881,600,449,300,643,199,703,507,897,768,958,384,806,527,
202,209,422,346,265,316,582,358,611,442,354,832,432,431,292,249,277,268,443,
694,858,861,016,212,261,363,077,201,599,151,121,593,342,465,268,802,427,108,
534,173,272,620,133,972,252,206,524,871,449,085,655,525,046,643,015,690,718,
949,142,032,582,095,078,163,088,423,790,002,386,724,145,303,721,666,629,041,
168,177,812,463,985,821,268,016,011,060,839,207,894,759,696,581,081,557,511,
559,813,853,959,640,515,473,426,075,808,674,289,933,390,793,641,771,572,444,
103,808,144,821,350,410,078,957,074,402,983,469,692,826,940,410,264,126,121,
670,614,901,440,727,888,875,146,128,999,587,657,422,809,285,241,010,642,707,
199,807,132,394,191,015,092,588,385,577,829,651,610,273,047,679,180,821,236,
634,327,158,682,570,320,214,737,260,783,900,613,690,227,502,622,758,502,943,
367,689,715,193,444,126,893,967,687,908,416,111,249,264,501,594,552,706,594,
040,085,064,142,194,209,260,364,401,045,187,304,464,809,394,158,329,152,329,
572,726,225,772,597,295,412,168,443,009,949,194,969,581,357,117,792,560,188,
845,427,110,806,738,435,438,235,386,987,298,806,429,054,650,697,566,429,941,
644,413,779,029,775,432,111,509,556,129,058,469,487,785,344,649,988,024,084,
296,311,500,103,488,132,038,874,246,965,247,132,962,724,483,421,233,835,479,
402,082,850,292,016,880,092,346,999,065,895,707,349,861,618,497,479,330,142,
467,868,265,462,127,045,925,383,610,871,217,966,293,536,173,649,259,588,592,
653,545,285,119,538,688,392,498,963,385,139,787,192,611,227,199,838,184,148,
152,469,685,324,531,554,121,801,956,333,041,070,491,626,316,114,205,702,584,
815,893,304,910,574,704,608,939,504,287,533,453,063,524,410,191,958,380,174,
145,124,013,614,646,845,534,936,590,716,833,020,190,541,027,544,983,171,831,
640,649,587,251,149,641,133,503,002,350,746,569,806,541,225,384,022,482,496,
810,182,954,545,940,008,726,065,166,264,897,236,215,723,994,161,742,384,691,
676,470,738,544,816,682,941,984,586,236,957,054,141,355,428,278,269,040,346,
489,469,384,843,430,100,752,077,728,327,270,694,813,031,571,314,048,791,980,
843,043,489,969,062,141,472,788,533,702,030,856,866,046,331,088,816,292,044,
441,072,979,363,528,977,951,347,181,286,886,032,429,251,244,711,409,184,429,
669,372,583,833,477,087,280,811,653,497,650,242,745,945,991,701,331,757,962,
818,985,597,928,673,709,342,807,891,050,948,642,419,866,447,972,800,635,922,
860,331,408,800,446,706,266,856,262,750,944,554,121,613,637,320,264,391,674,
557,118,812,906,862,626,668,207,842,350,446,673,725,135,002,027,262,734,263,
665,307,514,584,965,797,094,364,827,174,603,090,216,596,737,676,109,504,067,
534,146,751,940,829,885,446,575,262,194,319,814,051,950,548,167,273,783,202,
674,823,839,175,612,851,374,786,931,038,576,725,847,045,089,435,863,889,263,
046,678,237,129,992,737,100,598,824,331,571,586,568,339,590,651,342,542,785,
822,015,916,334,719,369,043,541,083,051,972,664,163,980,816,442,877,412,154,
446,714,800,355,986,737,254,354,108,947,184,887,355,214,113,887,031,984,885,
591,930,838,623,718,727,567,385,807,514,697,657,794,492,364,244,495,681,027,
732,123,353,793,155,520,335,337,229,829,824,146,921,652,222,336,131,374,368,
614,043,293,251,042,796,109,839,184,999,043,534,931,389,274,374,920,472,111,
301,233,782,790,642,867,200,390,677,754,772,129,974,865,015,978,310,668,926,
089,937,927,520,345,809,345,551,207,128,203,278,077,262,040,542,605,389,000,
923,200,752,167,331,649,963,703,200,939,954,889,055,960,782,762,474,621,412,
852,350,152,403,242,520,972,763,442,834,377,077,378,085,732,131,441,047,728,
023,590,952,117,646,138,585,327,369,948,965,886,508,328,308,867,348,668,315,
634,381,348,143,220,326,925,957,581,836,464,177,392,849,617,613,484,400,632,
541,383,502,931,994,600,109,532,737,615,829,481,056,431,522,345,675,550,663,
607,440,665,652,797,292,011,552,704,737,726,890,946,725,742,132,120,370,876,
606,272,225,510,435,262,026,639,003,644,093,267,139,730,987,309,116,642,392,
605,920,450,326,785,768,110,652,186,218,888,254,321,999,389,269,310,560,575,
418,924,713,928,768,349,047,215,833,422,318,316,306,138,925,685,651,402,222,
825,007,242,660,483,119,661,938,785,275,274,732,685,623,276,682,595,011,076,
546,487,308,006,055,493,290,135,730,578,963,681,857,983,794,440,827,521,782,
298,675,456,433,231,772,846,486,009,769,176,574,515,461,519,951,400,354,017,
293,132,000,857,879,693,540,444,684,040,382,698,649,679,025,647,640,127,857,
742,639,086,256,780,785,773,622,201,741,411,133,749,964,881,875,883,810,471,
808,408,919,746,414,496,718,439,589,116,334,636,372,227,025,706,804,054,683,
607,820,376,929,109,623,252,907,513,443,385,207,031,000,362,316,765,598,075,
480,550,340,281,466,196,495,689,833,468,447,891,447,818,710,162,527,597,298,
854,933,549,607,464,606,985,242,924,374,868,006,886,677,170,000,604,206,981,
142,338,674,629,146,371,552,467,952,263,912,148,201,264,977,426,495,031,423,
687,243,362,402,994,084,851,726,385,167,458,596,896,714,615,728,150,717,273,
303,963,511,451,760,815,569,025,832,463,229,801,154,694,717,470,330,508,379,
029,154,613,054,349,241,231,413,907,658,510,897,214,471,794,378,717,190,838,
100,554,203,194,718,659,393,207,113,747,804,608,014,423,066,550,973,276,119,
825,963,510,739,805,642,329,238,881,322,432,488,869,040,667,787,611,872,957,
996,028,600,703,635,050,857,519,846,556,736,850,105,483,470,912,106,381,618,
440,107,613,543,079,783,954,432,469,013,509,776,548,276,233,365,917,238,819,
734,846,826,114,940,320,381,329,721,492,734,369,079,046,914,670,233,981,811,
985,482,569,371,350,902,335,371,050,889,879,549,774,268,496,651,744,160,526,
707,844,324,246,376,604,233,063,876,893,740,959,210,102,137,170,203,765,826,
125,536,162,587,219,412,773,698,370,345,471,041,400,640,523,877,354,628,668,
363,791,318,500,836,397,824,965,404,065,913,058,174,666,380,076,972,342,099,
093,241,781,720,246,335,146,015,201,130,052,645,811,361,715,806,652,480,494,
232,004,994,036,766,771,137,570,025,040,132,597,267,309,053,686,448,829,866,
569,204,665,233,231,588,877,080,650,036,391,242,126,348,479,835,196,502,279,
422,261,715,637,123,558,977,428,357,006,593,754,053,380,537,682,532,544,888,
299,784,823,955,613,382,013,113,253,877,714,990,585,898,745,088,722,445,326,
167,452,767,419,469,259,115,675,877,527,645,828,064,915,495,965,557,840,195,
745,462,306,869,225,221,334,158,399,841,162,353,455,492,662,282,392,134,032,
678,128,620,370,916,814,581,329,704,541,148,168,056,312,302,703,830,186,839,
556,521,067,481,632,808,790,589,361,496,287,386,561,244,806,895,732,721,698,
765,491,543,411,774,867,743,950,279,512,237,486,098,266,373,021,496,713,450,
332,536,814,827,568,648,468,750,355,482,978,173,938,944,550,834,979,148,531,
086,514,658,855,501,660,861,885,011,815,554,653,066,015,946,330,500,607,190,
321,306,469,596,036,779,641,473,468,995,802,052,621,285,132,461,213,135,628,
017,108,608,341,731,552,070,812,695,859,137,690,200,523,980,298,627,897,469,
139,756,047,787,795,149,650,788,725,499,516,460,179,689,282,640,113,083,835,
164,923,438,070,954,576,921,533,772,360,755,973,870,223,818,215,658,553,805,
589,855,969,288,711,877,508,839,664,281,738,236,821,819,744,114,562,995,386,
244,760,224,597,717,306,368,628,927,053,814,914,082,370,397,820,114,713,739,
073,699,045,018,658,326,056,635,469,572,563,787,656,856,287,638,156,675,623,
244,637,556,824,485,871,962,541,711,248,486,713,657,246,859,796,637,721,665,
295,062,832,944,616,561,476,950,831,719,295,308,891,019,396,181,640,978,397,
523,905,215,786,551,145,462,216,173,334,858,727,349,707,541,068,889,128,285,
641,834,693,948,974,787,889,022,689,799,528,400,218,952,074,932,290,180,698,
644,759,565,156,643,186,840,248,619,273,702,820,820,698,906,148,264,876,108,
265,412,100,815,123,980,600,170,201,554,075,025,398,493,955,748,571,453,133,
347,149,607,961,995,210,809,331,118,591,062,553,975,436,727,886,466,747,796,
738,402,045,436,558,074,588,147,695,466,261,308,891,896,320,110,576,621,032,
729,927,675,106,261,079,907,787,292,057,184,662,429,473,821,459,659,398,636,
640,165,857,316,419,554,501,818,417,665,169,700,109,974,521,392,614,233,549,
965,889,864,564,992,411,261,663,870,282,938,220,327,921,656,612,693,186,396,
014,385,481,853,343,854,487,962,826,019,884,494,902,380,363,185,033,176,859,
990,287,053,203,272,355,030,788,685,727,459,383,262,506,645,460,077,452,356,
413,350,493,546,603,611,239,725,423,723,909,553,467,877,535,263,843,682,958,
703,160,258,949,967,318,343,175,478,401,394,550,704,522,829,870,304,674,127,
021,222,889,400,950,700,017,525,751,147,995,940,815,003,366,355,123,320,845,
430,356,921,905,378,284,175,154,375,849,889,082,311,230,072,726,829,445,802,
719,378,414,782,052,811,114,468,872,468,715,223,018,503,970,004,741,545,467,
093,573,015,998,588,713,473,835,404,784,906,457,158,325,855,333,978,136,173,
546,376,045,876,803,261,189,181,937,505,771,033,517,705,903,438,089,419,475,
567,525,210,438,772,680,987,287,606,268,747,143,625,224,173,068,690,961,298,
404,443,058,987,539,875,800,047,808,773,409,724,765,867,739,573,144,973,125,
645,787,760,465,075,456,555,243,286,984,097,559,248,663,283,499,461,031,354,
766,180,798,002,263,136,665,176,386,720,506,177,348,435,692,429,477,712,717,
828,624,235,723,018,200,589,779,553,457,686,666,787,786,366,809,861,173,297,
483,873,932,772,739,004,669,871,016,192,603,690,946,592,914,854,843,105,445,
379,834,679,338,106,661,361,026,025,534,392,659,879,672,289,832,769,490,362,
939,267,816,614,110,899,505,931,879,678,560,231,013,463,478,322,274,713,191,
293,841,836,752,296,928,103,619,845,015,939,655,860,454,173,642,723,631,110,
491,811,315,018,173,226,876,141,994,086,204,932,818,675,723,629,121,147,033,
189,041,332,303,713,687,447,824,319,490,950,447,072,641,437,326,950,284,881,
145,184,726,197,091,756,083,808,536,512,325,514,916,430,398,025,879,691,432,
894,017,481,982,853,520,398,287,149,984,940,706,403,267,896,832,692,534,540,
709,182,549,997,592,683,848,748,067,080,303,832,734,477,615,337,885,761,563,
373,903,713,873,598,229,230,647,264,900,954,616,238,587,394,722,655,726,500,
837,190,636,809,202,719,075,640,471,497,921,899,813,277,301,539,849,348,426,
919,415,806,135,526,573,266,890,611,085,571,872,517,750,023,168,664,959,419,
723,264,247,279,583,606,960,469,029,240,879,487,787,119,967,126,842,495,123,
784,228,374,594,590,137,916,913,942,458,317,526,550,640,902,435,159,885,816,
991,873,617,450,923,071,414,938,154,194,913,573,233,942,547,395,678,327,375,
785,473,612,370,009,274,602,463,490,922,376,288,600,066,070,639,488,956,001,
751,172,242,623,598,309,129,340,862,485,328,772,272,312,454,237,362,309,608,
035,669,037,312,943,062,315,103,919,473,683,920,658,653,641,097,939,691,191,
290,204,532,524,233,236,326,190,242,806,792,131,246,138,242,113,328,592,218,
913,549,273,183,680,171,776,843,420,764,028,380,721,225,768,265,373,804,607,
291,655,107,661,789,710,377,094,040,756,562,025,952,536,302,538,066,927,438,
092,318,688,638,190,548,670,427,121,044,883,612,247,350,014,087,272,678,431,
867,549,157,608,436,265,614,861,975,325,515,381,746,443,800,700,828,863,606,
809,206,044,208,254,726,965,597,476,473,995,624,336,757,980,906,501,432,177,
029,133,417,956,196,629,746,541,866,408,792,602,168,188,905,342,454,991,712,
415,075,197,289,235,538,932,624,647,831,902,952,123,872,742,284,419,681,878,
506,938,625,135,835,365,269,598,852,858,702,287,251,163,214,689,585,564,791,
065,178,180,336,892,665,947,624,460,030,579,889,838,662,288,598,634,210,299,
931,971,809,750,856,793,089,065,640,165,360,134,652,677,216,391,595,936,291,
623,754,493,632,679,668,373,977,205,649,922,480,346,517,686,348,878,751,481,
640,257,313,507,499,016,064,886,067,496,030,134,627,643,277,573,337,468,699,
299,641,382,752,689,267,572,644,061,435,135,803,144,512,026,754,419,607,370,
297,415,314,139,111,220,734,858,696,718,126,194,316,864,888,707,582,477,612,
425,898,392,161,957,670,523,167,086,323,461,940,568,569,060,545,865,149,977,
558,649,860,846,438,667,676,842,011,639,639,742,999,171,055,707,957,503,911,
425,964,020,102,162,186,037,482,939,960,518,837,370,599,630,095,620,927,464,
952,612,998,520,872,312,553,899,840,872,889,143,176,715,832,478,579,889,170,
623,022,597,328,608,031,695,310,094,554,745,030,607,744,123,321,515,662,880,
148,430,426,881,236,582,412,946,694,188,603,753,730,350,114,185,859,173,740,
098,035,379,362,111,816,685,513,534,945,151,266,988,722,336,975,480,998,875,
464,571,453,656,743,633,907,709,378,742,101,916,686,033,937,035,462,154,168,
919,827,205,946,376,799,449,567,018,211,821,442,898,682,741,837,613,700,108,
546,526,032,430,581,890,294,691,117,921,228,660,592,107,127,485,759,988,536,
359,898,539,168,434,460,622,150,002,373,465,526,024,217,834,547,152,550,111,
113,737,488,259,231,831,463,775,154,201,452,040,349,380,030,730,788,997,827,
348,461,726,628,561,438,428,608,186,329,683,790,506,188,390,632,853,539,367,
188,953,276,145,477,666,513,369,482,621,539,921,849,434,475,940,271,944,452,
873,201,725,672,804,172,830,150,208,629,772,101,141,899,922,879,750,102,948,
180,190,261,250,466,737,677,665,927,028,536,065,161,539,171,593,991,667,366,
562,676,408,367,184,728,214,575,804,265,636,454,971,139,411,082,089,556,466,
322,851,875,028,946,209,594,737,332,700,626,808,421,185,800,594,525,665,749,
399,940,172,060,296,408,889,045,558,881,843,037,074,482,271,927,544,246,421,
755,005,949,463,175,276,431,615,270,584,609,083,937,310,913,877,708,874,490,
821,011,980,413,550,916,996,948,568,343,915,890,649,871,118,625,088,240,714,
431,748,475,621,679,732,662,345,047,606,288,197,515,214,026,083,244,572,866,
016,646,519,458,865,037,696,439,950,459,173,999,918,545,934,378,403,265,684,
056,091,814,157,439,397,395,948,447,907,169,975,406,503,260,782,467,622,917,
971,517,376,273,980,295,209,129,531,438,635,291,339,490,206,514,637,200,410,
703,842,495,514,148,152,430,860,974,236,674,926,191,989,983,924,808,530,556,
301,434,216,344,330,357,802,967,759,754,315,292,656,407,654,575,286,299,646,
593,374,869,060,284,718,507,538,180,843,045,195,520,230,738,035,035,061,925,
973,456,271,308,970,939,453,077,375,920,414,453,843,634,565,706,129,227,440,
512,661,855,720,176,394,349,669,188,085,413,290,879,152,263,266,594,125,071,
915,513,573,037,359,209,907,325,693,451,946,150,674,661,158,987,320,934,600,
995,585,809,421,699,139,718,562,118,259,047,665,627,458,785,886,663,720,045,
233,633,760,613,302,822,585,745,100,381,783,373,360,498,830,005,261,262,009,
219,860,683,675,838,197,699,990,331,295,527,813,657,767,441,194,173,082,484,
206,966,753,997,191,397,184,444,604,190,749,300,363,073,723,034,123,697,547,
268,725,148,153,201,405,875,511,477,355,676,589,179,908,671,790,689,157,356,
454,932,517,939,048,633,001,421,521,742,590,775,032,545,728,876,796,275,280,
282,829,070,941,397,491,303,658,700,194,871,132,479,786,086,271,116,307,868,
420,042,481,591,713,360,025,504,342,690,583,548,072,128,246,469,299,600,022,
314,960,699,663,391,073,307,073,630,348,539,003,435,457,370,126,367,800,758,
956,912,442,187,011,237,353,697,227,463,466,269,140,632,849,542,221,393,023,
065,040,926,972,842,555,038,178,086,293,539,916,332,804,397,023,000,356,827,
050,142,980,806,866,392,394,740,588,826,779,711,328,879,210,348,750,554,612,
792,558,952,383,107,013,903,164,503,808,393,884,033,018,328,747,380,843,685,
213,229,912,550,920,444,925,725,862,937,504,198,675,230,180,358,665,701,965,
863,148,725,586,723,315,001,628,591,808,115,229,491,621,498,388,177,753,241,
494,570,747,587,910,724,673,282,880,039,461,251,060,649,426,784,071,505,993,
890,149,297,621,422,962,864,799,660,274,710,669,871,742,679,442,393,996,737,
822,482,294,288,246,245,744,567,246,914,769,138,005,145,341,014,725,411,585,
782,208,600,523,381,832,400,411,590,824,245,559,015,864,051,363,199,166,832,
759,366,238,869,155,413,054,471,725,517,337,468,099,466,214,894,959,695,481,
408,191,944,052,737,529,915,894,656,523,729,093,196,230,581,418,198,421,486,
419,613,603,741,916,864,509,570,853,183,735,633,107,868,569,332,244,975,572,
608,543,730,299,158,964,938,616,676,267,260,765,250,174,220,214,706,924,673,
168,185,359,409,279,954,124,271,355,228,666,820,329,477,373,266,739,279,203,
760,637,954,408,468,568,698,902,463,702,488,633,640,338,552,104,940,283,566,
229,132,696,246,061,444,386,996,396,951,778,637,694,281,849,021,495,258,605,
479,040,979,286,847,754,976,377,550,918,320,095,859,092,706,538,795,071,337,
878,011,549,623,136,236,890,511,407,178,892,757,946,268,794,605,238,051,253,
118,094,870,305,588,201,476,554,823,613,268,878,049,416,809,642,339,578,092,
929,759,203,432,426,954,303,865,314,080,909,917,947,644,882,519,842,803,668,
629,697,438,183,131,105,040,749,851,724,837,188,764,372,416,340,461,373,967,
371,068,787,880,899,311,581,001,551,912,996,334,138,548,475,250,847,071,962,
289,144,876,435,855,583,259,186,223,626,224,612,981,110,580,624,835,115,933,
531,447,401,201,326,779,385,132,250,935,854,980,643,195,211,829,521,244,417,
614,728,899,472,112,737,486,928,056,703,420,173,614,409,640,438,107,398,069,
726,181,766,651,637,050,356,687,067,578,244,954,519,308,850,337,105,177,036,
469,225,840,149,762,688,504,673,044,210,513,691,511,241,369,139,512,393,733,
755,064,726,851,635,512,051,871,473,035,548,215,354,974,246,803,064,990,989,
982,917,124,218,249,210,801,451,390,438,791,745,933,598,003,310,813,746,365,
274,491,227,505,543,260,099,779,125,975,687,374,760,801,683,789,301,337,725,
387,161,830,927,338,794,802,802,826,732,046,816,866,501,573,779,060,009,636,
651,105,748,129,986,590,062,958,853,915,264,912,757,151,667,634,781,130,266,
405,339,084,614,392,239,573,582,392,962,732,923,971,311,572,775,742,866,023,
760,607,838,583,906,886,400,150,641,699,342,004,118,519,571,159,190,867,454,
640,741,332,908,854,583,771,984,751,089,062,814,344,812,004,660,685,349,145,
193,166,374,626,053,059,683,970,506,617,249,885,143,149,235,292,243,316,914,
567,767,268,882,592,115,314,437,595,698,799,246,298,576,138,209,185,549,844,
970,114,786,072,615,466,289,351,714,906,293,558,358,248,013,000,909,808,671,
171,700,276,836,801,566,272,486,291,866,743,967,951,231,776,822,950,349,899,
186,082,260,333,209,470,046,126,754,374,957,207,075,347,567,602,613,562,814,
195,961,990,098,677,623,572,502,218,737,509,376,974,411,804,491,500,416,671,
574,187,468,292,982,709,182,075,578,368,371,960,551,954,729,366,356,678,438,
943,870,348,145,894,094,786,354,367,836,998,122,014,776,014,484,165,390,910,
725,366,239,465,171,617,925,523,311,464,501,439,454,740,690,669,173,342,507,
288,741,619,336,744,440,242,334,963,984,607,273,370,448,081,191,068,304,739,
962,472,101,448,489,942,446,264,444,704,017,293,037,358,758,707,119,802,592,
401,011,960,881,991,931,360,654,584,352,106,210,491,615,536,865,688,440,370,
661,466,272,541,887,374,390,901,691,495,819,906,104,024,317,925,790,141,698,
655,580,785,178,538,556,886,224,832,237,359,562,599,629,941,083,024,707,039,
205,956,819,596,567,472,847,665,450,710,680,974,163,574,836,914,850,955,069,
448,381,096,685,291,816,008,015,221,526,737,504,310,463,857,129,211,978,157,
814,974,995,957,328,162,804,179,341,237,314,663,961,852,671,311,602,224,426,
232,768,185,135,524,494,081,457,816,386,166,703,741,219,848,246,506,881,705,
418,052,789,386,644,786,128,823,357,698,787,559,686,330,778,925,618,034,891,
306,052,531,302,719,475,897,208,446,751,587,853,784,630,366,111,597,647,916,
171,661,715,554,512,453,296,503,064,598,368,903,374,522,440,820,840,208,198,
585,796,745,300,625,488,805,112,802,438,442,298,077,477,591,213,091,563,677,
261,903,887,281,801,379,524,745,308,761,590,796,131,309,848,775,071,972,555,
901,641,087,225,358,291,641,705,456,211,205,027,838,611,397,391,857,316,281,
889,104,845,954,107,059,539,723,323,360,901,065,018,435,108,137,861,613,029,
680,611,299,504,761,661,344,682,676,110,652,134,079,071,352,566,114,003,302,
660,572,215,909,166,347,596,648,881,294,931,525,376,759,435,259,120,276,992,
969,545,370,055,116,963,022,248,762,524,981,127,958,130,619,828,172,264,484,
682,384,726,925,123,884,062,303,456,593,774,621,582,301,729,471,240,854,886,
683,983,088,872,168,792,518,574,769,642,324,735,616,939,844,363,828,989,354,
299,412,459,575,012,925,549,817,189,734,717,295,057,414,640,664,255,235,406,
238,821,572,086,846,539,796,586,943,311,919,879,550,985,503,509,613,267,805,
902,415,688,749,951,647,471,588,272,580,684,322,180,012,084,101,739,737,711,
542,676,516,119,206,794,155,923,696,293,840,058,333,206,997,151,848,436,843,
697,873,648,302,210,717,276,562,783,486,730,244,082,660,033,561,426,449,885,
228,218,746,412,408,760,995,132,945,150,448,189,121,572,419,122,622,950,878,
563,346,534,727,258,345,210,388,291,667,801,688,439,026,755,122,193,586,252,
080,518,604,434,595,714,349,998,753,859,609,362,181,955,604,835,559,572,302,
635,390,313,293,863,941,503,954,431,334,851,531,278,416,345,940,707,749,298,
146,482,352,352,096,111,713,192,316,211,119,380,823,428,174,639,094,131,997,
404,465,884,158,425,039,918,550,856,981,085,115,786,520,521,598,203,141,374,
652,515,414,969,778,032,626,472,396,260,343,413,873,134,976,775,085,042,445,
528,708,942,007,528,044,741,356,523,671,683,494,142,344,015,695,559,854,652,
713,270,635,283,941,851,717,257,410,050,752,819,218,946,518,724,491,389,748,
004,638,990,369,946,263,076,671,501,305,272,483,203,701,572,485,941,376,663,
043,293,525,146,923,480,170,238,466,341,318,525,154,096,780,064,035,228,916,
564,956,011,001,458,400,765,728,007,435,854,153,037,828,509,785,220,634,710,
957,287,904,524,647,421,198,405,725,950,301,807,968,798,801,970,187,665,323,
156,826,809,778,624,901,831,865,990,650,277,610,172,614,544,118,584,250,097,
764,614,022,982,588,183,983,961,226,906,134,176,823,733,904,280,036,668,441,
103,380,107,264,094,732,859,659,058,515,452,329,763,555,122,685,070,857,985,
411,599,175,480,232,505,870,221,340,632,304,499,485,087,292,407,829,050,380,
211,294,432,249,247,365,041,514,529,285,302,037,107,225,190,765,649,144,190,
392,915,026,580,509,647,033,909,617,372,081,438,475,496,885,483,097,807,963,
693,358,902,775,582,003,778,286,032,648,893,634,607,117,468,948,616,204,357,
846,612,797,319,564,549,160,186,180,579,152,447,818,587,490,932,151,927,440,
185,843,151,460,189,466,617,155,652,839,593,926,496,745,548,197,200,878,500,
137,548,398,112,498,375,004,288,513,541,359,012,934,394,488,713,194,666,720,
332,271,009,284,069,322,144,215,870,691,920,437,426,481,476,215,376,506,401,
973,909,672,562,425,861,082,337,310,434,815,400,581,256,357,400,648,102,253,
429,632,357,831,555,475,282,166,419,052,095,777,399,789,779,384,161,682,311,
486,940,214,724,080,052,707,104,064,227,076,365,902,109,689,469,708,351,814,
152,559,338,827,541,403,148,166,154,858,081,776,954,040,027,196,180,001,664,
328,787,516,504,668,356,148,802,159,825,227,627,938,586,488,858,224,553,911,
522,005,726,207,526,125,228,058,174,215,393,544,499,011,356,573,415,112,457,
068,441,513,584,381,647,635,477,963,434,628,885,308,390,318,168,358,420,879,
254,215,813,956,123,013,160,973,581,642,485,855,162,381,426,246,937,378,378,
446,652,182,706,749,545,348,600,070,756,593,004,691,587,369,004,309,473,591,
503,536,708,698,138,479,538,465,258,923,694,132,334,806,229,822,905,701,875,
589,191,133,014,777,703,328,264,140,548,014,946,314,969,400,578,943,635,302,
479,348,200,394,425,934,060,765,392,311,121,119,511,884,028,461,122,883,367,
378,932,298,228,644,356,735,741,146,025,004,605,993,133,580,117,884,799,107,
572,168,260,084,389,339,093,794,770,967,533,300,674,957,761,640,014,828,124,
393,329,403,695,406,200,615,811,885,748,209,498,759,493,792,634,884,115,270,
133,097,296,260,040,359,098,118,601,357,058,732,870,514,787,784,549,399,941,
008,254,876,381,123,248,048,320,788,708,475,380,901,092,152,555,547,513,422,
310,643,126,874,382,619,275,400,990,282,677,253,372,299,892,320,250,174,499,
511,112,030,221,022,372,854,041,837,015,667,459,184,619,450,968,362,105,573,
742,650,568,848,197,275,400,534,344,473,039,325,966,090,605,033,452,909,361,
571,422,784,631,351,324,431,090,782,332,300,184,633,069,145,197,735,999,480,
546,006,373,870,717,741,669,816,249,762,305,046,881,518,896,385,904,118,380,
717,148,753,487,442,215,093,716,437,063,992,557,121,751,122,389,144,242,117,
595,649,052,114,906,333,252,879,969,589,345,631,445,585,619,453,972,643,761,
542,048,971,678,132,053,380,352,444,558,267,067,673,839,975,813,029,157,557,
722,473,188,498,015,771,612,940,170,782,794,879,828,933,437,654,280,204,728,
560,263,009,358,295,069,676,352,773,836,665,056,463,098,960,847,512,575,279,
752,897,400,958,367,740,854,127,417,661,199,909,397,483,867,459,738,187,807,
574,600,946,573,976,119,593,897,689,356,333,617,418,036,033,789,648,946,343,
657,333,155,402,649,509,697,401,283,107,914,433,925,663,039,576,482,771,981,
079,540,741,854,031,763,764,947,320,778,260,163,564,560,992,280,290,354,191,
397,844,153,289,071,165,231,748,740,412,866,146,735,090,789,689,035,951,330,
329,198,828,172,643,951,606,050,308,775,787,938,198,991,382,385,620,684,918,
386,831,877,352,956,809,517,948,014,865,684,345,673,614,342,683,186,633,589,
181,292,583,368,921,463,915,714,892,801,707,815,900,133,263,745,439,529,915,
359,313,161,312,307,648,536,996,818,481,921,874,437,108,425,833,947,443,336,
748,401,591,132,407,163,442,662,222,011,822,913,988,195,174,227,980,390,890,
710,822,708,438,171,772,641,409,800,438,408,903,754,129,760,300,931,212,937,
328,537,140,457,717,877,348,298,307,420,553,984,873,913,637,520,854,193,615,
657,611,792,416,887,263,236,902,087,486,714,409,317,854,074,470,344,626,975,
515,500,930,258,911,493,463,679,664,123,756,837,433,602,508,584,274,706,001,
390,416,428,063,985,892,399,061,443,743,887,312,130,717,609,518,259,899,342,
162,723,876,011,472,223,724,476,694,293,115,194,077,251,534,910,375,764,965,
899,582,616,183,239,854,316,327,711,228,897,325,362,531,768,531,901,261,465,
077,830,070,409,341,463,531,760,234,485,813,560,528,635,183,356,794,074,814,
994,196,033,789,428,410,030,643,473,602,822,076,740,658,990,945,270,066,414,
022,991,096,662,735,993,134,104,039,377,462,070,447,674,295,070,530,498,593,
738,483,427,338,626,715,286,879,214,852,972,585,946,133,375,986,225,313,305,
750,457,039,973,948,037,537,393,787,102,181,647,553,931,259,766,742,997,132,
017,914,307,052,539,184,308,431,129,706,369,113,300,522,296,746,258,930,348,
452,359,810,865,757,017,372,517,262,060,164,161,762,319,090,490,492,633,770,
329,764,184,568,092,727,908,051,669,285,061,937,930,334,147,587,281,523,551,
325,315,221,899,106,127,520,064,611,532,782,497,407,630,766,396,641,216,184,
777,729,786,104,865,786,608,369,613,405,964,835,391,969,502,318,994,641,142,
410,050,257,144,416,559,685,678,961,173,941,651,735,098,455,293,066,338,084,
271,529,746,317,583,769,876,620,138,733,945,091,310,962,723,379,393,242,982,
269,531,620,098,198,152,576,995,788,499,617,731,419,890,292,646,764,924,500,
756,467,326,101,045,060,706,468,852,621,681,374,446,639,038,339,570,904,524,
462,978,002,614,073,976,468,815,789,828,948,443,724,031,027,401,239,557,799,
999,478,455,541,526,343,135,428,164,662,435,924,144,509,363,831,559,985,933,
786,391,381,926,923,815,559,849,812,493,651,015,839,360,917,485,269,521,315,
261,895,486,598,853,085,711,825,294,176,472,939,508,329,104,847,662,754,960,
861,378,267,507,045,478,979,981,073,484,574,867,375,687,640,895,609,434,583,
188,260,949,521,172,411,787,026,787,446,053,236,467,820,235,358,738,281,341,
913,996,089,838,894,786,181,543,984,161,603,683,534,518,355,058,508,408,932,
975,228,071,617,091,936,897,770,141,330,843,499,150,339,264,512,818,537,752,
502,294,250,100,060,650,127,789,830,057,989,677,176,934,482,211,413,294,611,
252,190,320,845,381,286,691,748,742,823,166,192,716,632,057,514,037,613,786,
340,391,389,710,429,164,760,512,999,377,876,762,963,830,025,437,888,907,376,
270,050,889,474,285,748,200,658,564,721,206,875,624,863,578,553,264,290,455,
208,591,771,125,931,822,310,027,431,261,151,849,568,307,493,330,570,745,941,
692,379,243,060,835,874,607,676,495,463,496,808,802,273,980,807,885,354,452,
754,868,162,163,753,002,608,283,087,725,946,757,070,389,401,998,153,921,452,
078,620,178,050,504,732,582,863,548,438,216,526,643,815,356,297,995,402,837,
169,492,447,348,606,749,115,491,973,780,438,316,099,460,137,535,732,997,891,
011,166,473,221,489,126,351,762,166,322,096,621,348,937,954,439,962,586,882,
564,299,075,823,374,274,104,651,868,841,424,433,656,968,784,641,269,377,849,
137,025,095,257,423,084,889,797,769,286,886,635,472,929,235,589,219,017,543,
013,965,852,087,308,455,520,137,824,909,247,021,555,508,036,849,867,203,757,
069,928,439,163,274,933,990,234,905,167,391,429,760,385,000,082,431,406,664,
534,705,824,882,672,020,250,203,156,028,876,642,529,556,219,763,235,336,045,
331,418,156,380,402,808,021,317,269,256,090,304,375,783,122,638,583,573,046,
423,418,407,249,843,850,281,405,176,106,601,018,583,194,922,434,204,095,108,
920,253,460,124,526,107,757,709,124,453,537,392,461,324,970,811,997,938,100,
946,616,104,360,585,687,994,473,786,821,096,473,547,920,528,581,291,951,900,
651,453,807,422,234,439,100,128,518,072,443,385,982,257,086,266,575,077,133,
821,334,307,315,230,324,960,559,946,905,568,334,893,647,992,428,268,422,041,
364,359,219,810,686,289,317,973,185,725,985,463,859,044,981,126,083,336,177,
504,547,301,610,301,355,972,859,245,768,001,563,522,859,516,665,819,924,436,
441,672,062,903,442,944,846,621,952,585,289,269,963,669,130,182,153,268,809,
511,395,912,072,422,002,824,699,354,242,600,185,983,700,340,739,103,847,070,
105,572,337,605,977,910,334,996,435,271,766,199,007,971,328,860,739,893,848,
674,422,574,135,128,416,830,506,805,987,102,722,703,375,414,507,098,966,113,
238,510,903,222,417,336,054,240,943,382,681,210,940,638,887,616,318,948,563,
725,220,809,594,632,826,097,744,158,218,320,738,044,236,431,142,251,338,179,
282,893,741,237,761,738,420,279,344,540,317,697,097,139,670,208,959,883,192,
599,994,913,620,592,821,953,082,506,584,052,484,737,952,093,213,287,954,032,
085,210,832,467,401,887,146,128,851,332,980,472,498,385,165,030,958,293,564,
237,576,884,133,678,471,152,375,344,172,551,613,820,440,206,853,972,294,162,
675,722,401,895,512,312,587,593,529,767,792,840,377,607,001,697,211,950,192,
878,118,745,318,653,686,357,644,050,308,594,943,167,722,676,798,557,775,869,
099,874,121,194,961,295,527,523,788,360,793,303,117,212,887,480,570,668,985,
737,226,143,596,514,866,868,891,147,983,099,266,950,341,335,196,257,543,742,
732,099,999,865,023,763,737,309,212,952,860,860,236,831,443,797,302,260,839,
062,453,947,379,559,673,687,238,255,511,713,432,203,888,810,589,143,386,843,
860,616,764,725,229,142,880,110,806,389,379,220,039,095,735,757,507,804,445,
503,648,598,586,492,967,665,852,996,080,480,134,443,826,316,103,594,121,384,
364,379,117,957,724,597,430,741,522,945,691,319,346,132,887,446,193,938,193,
259,669,744,954,308,487,115,049,001,225,263,656,964,213,778,175,634,636,270,
847,319,504,883,144,923,615,830,407,996,403,121,119,058,505,654,611,986,823,
164,151,824,551,854,476,035,270,473,856,735,090,695,565,908,277,964,123,282,
352,132,139,687,433,995,395,726,201,729,979,183,556,125,331,179,079,987,915,
201,191,934,861,777,755,202,058,871,614,077,709,603,606,722,450,987,164,627,
716,813,887,423,986,076,262,077,356,837,372,658,627,904,339,199,968,079,559,
081,214,556,438,392,099,332,827,207,408,532,701,757,983,436,135,230,291,994,
693,147,363,682,839,072,917,541,868,723,888,168,724,691,875,868,421,538,070,
757,230,506,359,355,703,683,643,476,529,554,801,823,025,834,888,943,483,421,
094,395,356,321,496,531,856,663,103,129,363,771,965,591,405,830,551,719,715,
450,035,013,265,891,631,005,184,545,363,683,572,446,196,185,525,054,738,622,
584,529,691,939,539,225,529,677,792,331,882,575,534,373,053,829,833,699,682,
348,053,222,861,964,786,413,530,724,417,234,201,326,870,297,712,626,768,458,
177,817,354,059,999,451,554,362,294,450,616,039,822,000,496,205,101,031,290,
035,264,086,485,961,441,385,326,657,205,428,725,229,589,443,906,139,574,874,
332,192,001,434,401,574,145,810,317,254,619,409,261,237,943,064,330,158,858,
750,135,938,812,223,759,877,151,172,578,797,513,548,191,355,774,639,731,826,
444,138,595,625,322,486,573,523,630,340,293,529,588,087,156,426,929,308,910,
936,607,125,800,965,949,992,957,561,067,955,977,905,635,397,233,043,179,429,
597,637,592,379,937,497,702,419,509,560,289,890,086,710,473,133,798,114,572,
571,753,430,401,335,879,597,908,772,847,526,160,683,513,536,290,827,371,035,
349,989,170,946,469,308,060,105,677,818,992,361,934,922,100,668,608,601,293,
389,117,709,300,119,398,487,089,759,611,238,207,843,649,783,174,723,739,602,
504,937,770,491,166,534,573,404,491,128,634,489,202,853,109,430,832,491,624,
013,342,783,389,753,630,312,576,430,729,320,150,209,190,255,545,564,269,506,
129,290,688,406,724,981,363,344,700,903,460,365,042,814,155,164,099,997,792,
435,124,606,859,060,809,065,014,870,875,591,898,515,772,835,327,420,930,182,
031,570,502,822,275,349,935,989,144,358,047,759,194,988,138,361,440,547,575,
623,235,727,482,059,660,659,366,168,662,606,774,973,099,845,328,472,147,421,
535,843,071,883,315,456,155,848,226,080,221,597,186,286,270,453,023,308,414,
145,427,838,169,071,596,944,941,730,053,201,695,792,487,905,233,753,955,903,
220,733,001,232,710,860,382,760,883,347,805,112,253,165,153,572,467,567,762,
522,647,087,096,923,822,166,639,428,339,248,741,232,344,211,958,034,933,147,
937,285,816,884,075,488,298,592,861,072,915,225,731,192,203,607,958,625,398,
326,880,053,799,725,233,869,471,413,752,177,262,137,070,393,710,578,468,886,
860,461,739,500,642,385,794,011,034,654,947,901,645,261,023,504,383,582,730,
136,905,242,984,761,413,613,274,407,588,747,157,479,800,166,341,629,959,268,
817,495,117,820,826,341,599,879,824,840,320,136,718,168,607,581,289,207,059,
025,321,630,204,695,707,377,051,893,100,323,017,112,198,354,747,812,932,589,
605,770,065,418,729,617,769,127,540,445,876,151,498,636,477,753,767,421,382,
355,597,838,025,520,365,809,851,265,669,202,445,624,370,092,597,223,545,117,
265,610,077,901,646,848,747,952,849,020,829,661,626,472,878,314,226,771,968,
260,154,553,599,777,154,847,962,156,899,074,420,564,971,196,060,883,502,831,
888,589,392,230,382,431,827,760,716,436,279,998,715,828,162,776,759,716,147,
852,404,443,739,932,243,170,253,578,648,633,758,388,775,890,900,153,495,271,
343,473,615,580,512,729,679,850,480,447,263,103,524,346,507,529,082,428,285,
776,926,655,102,369,992,653,949,717,762,729,536,310,100,941,775,881,002,948,
217,989,924,316,801,029,758,170,080,163,026,904,846,978,028,189,163,634,111,
746,881,695,317,348,555,660,761,309,394,758,723,599,658,778,833,100,951,822,
841,689,981,184,946,053,846,663,017,235,376,445,319,500,529,610,900,927,029,
532,640,082,874,711,242,976,357,538,430,288,386,120,517,188,945,642,778,966,
736,039,104,954,707,724,171,030,733,166,602,482,550,833,704,554,105,262,820,
663,157,890,130,365,956,980,650,041,473,040,516,604,367,571,569,613,796,886,
198,343,321,508,064,285,687,756,302,838,714,326,056,533,707,992,366,784,560,
340,284,262,310,204,392,607,725,758,055,006,608,960,990,382,847,008,431,497,
488,096,112,086,550,917,956,024,162,805,485,183,344,764,824,525,423,645,999,
125,773,516,815,134,499,602,294,014,856,836,452,758,421,526,109,990,096,212,
365,275,957,443,231,702,470,692,786,850,141,945,792,680,620,747,380,461,813,
876,776,479,024,606,709,532,713,692,488,489,809,571,378,935,011,860,869,746,
660,870,009,511,237,858,547,929,861,516,733,429,235,980,118,494,667,378,884,
695,524,739,634,289,229,577,372,341,638,904,205,173,956,580,985,599,382,634,
248,665,893,114,281,037,532,932,653,367,142,070,739,900,417,237,861,698,592,
807,897,313,408,264,051,253,168,715,750,232,717,460,922,479,230,618,149,947,
643,480,095,276,848,515,182,686,800,822,427,998,808,059,528,047,784,920,232,
849,638,388,588,972,795,945,807,334,978,305,511,292,977,585,349,939,281,094,
322,484,507,955,822,259,935,719,573,821,978,441,681,152,817,521,062,096,337,
359,871,995,947,930,401,900,278,261,515,891,089,900,330,166,894,446,904,862,
472,315,439,318,746,812,606,867,559,808,706,801,285,607,955,349,715,327,571,
980,817,290,550,051,839,679,324,712,638,318,270,656,351,575,917,471,951,147,
934,020,830,599,275,520,514,121,815,351,841,201,380,595,510,011,899,357,719,
534,096,234,669,954,294,473,585,481,321,764,631,354,968,738,704,956,840,074,
741,971,911,335,037,505,356,817,906,289,968,254,536,964,065,688,152,371,142,
013,377,654,495,464,735,859,780,370,535,096,931,175,863,245,831,983,641,997,
403,811,681,732,746,402,892,871,520,228,449,029,255,679,856,969,459,623,904,
428,995,711,849,460,165,532,713,749,292,440,841,942,164,012,646,447,794,840,
829,656,728,891,980,086,939,464,501,888,750,505,117,252,435,283,803,202,774,
810,838,174,706,588,648,768,379,956,719,013,782,958,326,977,764,444,911,121,
634,073,777,903,045,917,357,774,780,568,278,621,077,546,493,435,092,106,764,
960,814,314,700,521,900,522,089,344,796,354,086,992,168,009,107,716,621,751,
121,182,425,240,213,645,563,100,034,097,182,782,467,728,338,523,828,726,757,
405,132,311,622,761,171,790,788,796,670,439,143,232,118,786,132,424,508,112,
350,685,464,662,142,225,152,028,719,192,687,012,680,813,797,700,429,080,768,
061,114,436,724,164,122,385,985,556,514,227,127,631,881,462,766,608,010,433,
064,648,653,787,597,370,706,409,936,871,240,209,345,891,944,680,235,142,418,
881,534,439,089,127,700,832,650,001,624,590,371,867,811,881,054,676,216,344,
578,478,870,252,444,081,529,245,290,616,217,597,715,937,203,756,572,561,088,
219,579,446,768,870,620,142,603,920,496,445,295,651,555,792,818,840,350,669,
386,785,789,764,611,630,152,365,443,920,528,609,363,293,608,963,571,370,788,
592,464,364,261,243,467,976,648,003,687,626,180,693,013,846,857,118,859,436,
038,090,649,322,743,401,229,255,331,074,327,867,993,234,980,079,892,619,143,
027,184,784,343,711,362,185,403,562,850,678,581,674,880,111,039,036,399,214,
018,464,431,942,873,470,996,755,767,230,946,063,462,410,665,531,930,934,865,
629,923,971,999,415,427,548,836,517,040,156,996,485,065,059,477,931,328,280,
428,037,537,423,399,991,247,024,668,506,669,281,041,237,216,139,831,678,887,
971,177,898,082,752,304,269,723,819,897,388,937,943,118,162,814,008,228,264,
003,843,061,970,592,291,185,857,882,324,491,371,315,111,281,803,907,927,191,
987,357,084,017,420,259,965,328,514,804,955,482,151,567,161,627,546,479,308,
086,520,876,059,349,144,976,176,411,758,013,848,564,360,033,141,247,790,892,
389,331,833,548,128,977,721,828,828,571,287,740,771,208,617,972,664,231,280,
243,506,324,323,923,884,631,744,437,192,425,687,670,012,141,865,605,001,347,
018,637,221,513,276,319,057,795,564,326,850,076,592,218,378,764,605,036,748,
353,803,982,081,828,840,606,084,835,745,874,085,563,178,444,544,830,653,705,
094,045,306,185,144,599,699,838,943,619,758,266,029,052,269,452,724,016,996,
833,588,904,833,057,492,948,450,290,722,077,262,140,612,269,646,465,884,948,
465,864,497,347,555,539,617,531,552,724,697,005,408,957,624,837,896,041,130,
896,030,773,377,486,968,380,877,762,335,025,560,342,824,045,463,144,298,141,
488,526,397,448,751,495,526,452,468,760,237,711,951,272,657,891,649,133,792,
191,276,087,562,159,883,108,026,736,517,720,815,673,204,238,598,013,285,199,
639,095,767,086,733,108,625,713,190,345,101,298,301,111,154,564,718,343,206,
404,704,167,157,004,021,976,196,671,183,025,614,155,395,950,948,509,472,557,
991,586,766,597,618,979,875,657,378,065,115,370,767,688,646,871,460,880,197,
573,264,313,980,641,959,464,403,571,181,362,290,145,834,103,208,445,773,337,
028,766,117,952,311,281,681,449,817,383,199,244,230,905,904,231,450,048,745,
552,842,792,857,010,906,434,205,937,643,902,363,645,756,348,584,497,501,020,
859,140,341,904,151,481,275,322,777,650,178,466,139,187,689,098,967,025,031,
487,905,729,361,451,990,756,158,415,671,414,562,193,950,288,295,330,819,670,
187,776,677,911,453,269,924,483,578,816,442,389,569,517,288,733,712,925,147,
096,853,634,266,824,345,818,203,010,340,675,958,044,969,495,559,991,553,634,
564,684,220,572,828,304,757,416,375,739,286,305,527,568,519,655,651,451,228,
558,749,142,137,169,083,325,354,634,886,118,580,852,093,700,067,656,919,708,
617,661,002,094,208,089,349,928,175,450,003,518,795,047,164,788,716,554,157,
847,501,498,018,218,160,616,792,519,709,759,754,895,463,932,585,703,619,453,
983,473,825,557,442,051,464,843,877,564,768,742,219,650,964,756,993,732,706,
141,394,513,841,369,942,989,461,357,053,652,169,642,830,602,147,649,116,840,
576,917,687,447,627,989,680,352,478,212,316,593,924,608,094,921,443,381,057,
906,659,650,316,565,304,146,311,148,855,941,969,981,057,761,166,994,856,601,
344,444,802,383,297,685,479,476,249,246,199,192,807,043,610,945,769,773,497,
361,562,671,547,940,523,309,308,420,186,300,279,199,293,630,223,530,806,820,
107,144,828,938,393,205,145,233,630,269,320,383,592,719,122,557,071,235,996,
828,144,670,807,897,033,740,753,506,825,123,188,280,071,082,401,110,586,354,
414,195,633,269,365,895,105,828,867,671,584,026,637,585,965,258,917,657,625,
024,832,204,320,477,422,840,146,383,260,494,023,068,659,101,681,430,848,532,
869,876,628,880,401,304,477,311,417,102,722,360,568,686,373,831,001,458,508,
153,466,274,965,491,814,681,327,407,095,495,969,028,283,816,119,169,936,828,
944,544,989,249,071,242,020,493,576,315,773,523,650,093,577,915,620,892,691,
339,451,923,399,837,449,520,048,558,632,728,358,450,689,908,056,751,181,317,
152,123,698,339,829,137,882,427,602,075,131,198,902,983,667,062,331,677,318,
235,379,199,295,578,527,427,996,065,638,644,041,662,991,538,594,864,065,744,
667,181,503,007,188,132,194,373,411,229,597,700,253,374,548,135,614,334,138,
731,651,791,894,621,528,890,887,862,078,392,363,120,867,065,282,774,464,926,
213,459,677,107,166,413,879,648,637,517,470,522,038,933,070,620,831,996,403,
731,672,518,901,159,780,805,253,963,311,167,665,092,778,343,603,781,098,700,
852,927,281,504,281,347,573,880,534,561,192,700,885,778,794,366,705,738,366,
323,670,774,295,117,285,328,120,606,577,812,222,751,786,631,425,016,868,399,
108,791,549,921,105,942,212,383,492,002,762,596,409,528,739,121,173,315,550,
259,006,413,201,464,590,187,738,817,385,819,340,635,277,574,165,758,649,186,
629,324,410,035,234,833,817,410,784,416,787,053,837,190,855,813,908,381,845,
341,805,364,941,286,468,963,882,742,190,156,391,980,764,206,142,706,621,699,
247,200,790,968,883,166,951,966,443,717,788,611,785,672,601,235,050,706,311,
523,230,457,725,836,236,768,680,088,098,462,109,706,227,707,409,976,956,455,
629,743,093,613,644,897,291,847,107,268,813,292,814,771,386,920,714,199,414,
849,185,538,560,885,205,979,064,100,929,369,565,916,840,776,104,672,323,347,
653,627,221,380,651,381,438,697,258,332,471,185,729,401,813,540,269,925,115,
777,220,897,462,521,303,661,237,772,853,820,247,853,330,107,640,747,747,936,
925,177,655,439,349,239,483,011,749,054,754,664,471,892,555,845,558,632,042,
898,808,965,573,760,878,977,170,067,134,344,331,639,820,146,389,488,938,663,
308,850,328,814,620,923,067,048,530,489,749,968,350,416,157,141,316,415,964,
550,035,175,602,351,231,279,515,418,196,684,275,132,375,550,892,216,832,802,
049,238,401,972,990,133,210,614,019,471,054,825,975,572,461,806,136,807,217,
311,434,392,362,461,995,692,950,113,716,749,414,098,989,657,009,533,100,781,
012,291,999,260,990,510,448,450,259,426,372,534,315,897,381,729,376,177,548,
234,121,698,174,154,063,139,618,888,356,498,591,184,515,553,269,878,052,243,
524,380,795,068,989,352,954,548,197,828,496,937,935,663,836,044,112,946,975,
275,269,610,175,220,385,152,485,355,410,970,628,885,223,405,388,984,582,785,
728,566,068,851,074,824,531,640,778,252,736,121,079,424,965,394,061,614,210,
972,755,867,574,206,338,876,486,731,372,140,680,323,674,708,177,064,597,433,
460,899,664,629,935,218,705,784,542,556,472,326,627,894,396,609,174,623,096,
571,918,702,558,047,992,419,728,554,577,164,492,561,030,317,594,491,493,787,
369,274,661,203,002,852,095,577,209,213,932,265,658,108,971,088,532,366,179,
096,237,689,856,987,058,085,984,365,756,034,612,746,013,130,664,364,738,246,
784,963,433,426,525,849,404,350,183,116,227,131,551,655,355,445,486,833,028,
634,717,716,832,010,021,468,681,272,686,500,535,149,243,299,300,400,032,929,
291,265,191,476,339,010,681,207,519,216,971,944,955,995,000,542,866,195,889,
585,507,653,297,825,643,524,943,725,424,714,520,949,172,955,771,210,574,513,
740,203,398,438,979,098,132,399,047,653,966,177,331,542,310,750,802,225,494,
708,048,696,797,607,880,418,615,563,022,953,824,864,605,663,496,793,846,981,
497,298,466,145,650,185,208,645,618,807,836,557,632,318,308,383,581,683,922,
187,515,219,858,279,981,218,055,398,160,698,331,846,556,914,878,547,936,727,
123,074,864,774,153,691,889,483,485,693,447,859,757,616,562,916,764,704,671,
670,963,311,097,194,720,469,662,657,260,983,164,768,057,744,040,303,274,313,
302,793,918,102,656,546,206,391,503,399,877,899,978,536,207,861,935,094,528,
521,372,628,310,182,474,978,004,372,345,250,937,107,377,956,353,339,861,099,
425,223,892,609,928,116,123,242,664,450,856,823,213,298,781,935,457,341,276,
728,563,731,393,505,642,940,538,077,372,604,642,719,780,643,813,181,926,937,
622,184,483,414,851,542,005,911,902,964,608,196,430,640,026,038,552,216,600,
381,495,959,345,367,137,357,676,903,330,186,778,735,944,931,134,995,585,073,
596,941,197,776,417,084,582,610,113,738,155,576,644,890,332,864,682,399,079,
254,195,082,536,318,919,798,963,710,306,675,618,831,170,417,294,999,336,540,
013,368,436,500,348,931,443,398,079,774,367,121,403,157,649,992,007,537,584,
713,489,566,783,311,776,669,108,934,869,609,104,857,449,149,293,993,468,771,
292,972,492,411,876,181,065,004,245,342,655,208,760,791,492,604,976,395,203,
956,688,363,128,090,030,948,789,482,026,910,583,317,053,376,878,135,751,532,
948,026,524,665,342,946,750,775,776,166,896,479,311,272,215,179,141,489,832,
325,884,565,038,454,215,996,419,886,320,165,101,679,403,147,908,806,341,815,
925,411,826,783,550,861,141,187,488,728,286,225,994,436,066,052,704,971,961,
851,459,188,282,189,568,852,486,454,852,923,482,334,162,074,211,110,356,528,
945,258,648,925,277,734,905,751,976,013,681,084,226,817,918,285,365,714,497,
882,176,903,622,281,242,746,778,420,323,247,680,725,647,750,602,194,492,602,
106,698,709,620,343,099,143,333,063,360,116,562,659,216,424,025,440,846,207,
438,285,842,262,295,055,789,745,072,316,594,814,710,671,556,367,788,118,096,
523,814,266,593,587,081,316,109,461,560,225,994,490,904,479,441,994,788,174,
978,211,288,300,903,939,171,994,219,210,486,563,128,849,596,079,786,298,165,
986,661,795,106,869,925,940,270,448,679,937,956,890,656,647,940,713,191,167,
053,558,365,986,382,699,343,571,670,765,871,338,753,821,131,996,787,018,924,
724,340,157,537,319,749,384,613,678,935,480,570,864,194,978,265,822,300,696,
373,847,510,606,446,743,672,422,046,732,433,820,283,443,664,380,723,122,016,
448,221,213,508,515,006,867,393,309,840,339,860,370,602,424,028,750,069,724,
566,886,358,303,531,384,773,988,520,767,620,033,898,454,397,557,750,823,790,
482,899,440,695,694,558,871,833,032,903,193,893,281,041,323,947,489,792,889,
475,380,930,357,863,847,296,605,737,914,969,599,454,120,011,334,990,689,525,
175,347,570,056,888,539,311,497,577,482,209,030,368,040,947,257,153,231,631,
802,018,080,215,596,052,566,338,192,414,188,808,748,646,049,564,707,495,702,
808,839,001,670,202,291,729,221,929,050,527,351,924,180,462,620,258,552,001,
825,848,659,814,521,650,232,797,197,824,945,166,510,264,335,792,310,929,609,
333,036,434,007,451,481,466,767,104,534,678,179,057,624,306,988,678,988,937,
107,985,398,292,516,689,749,926,730,686,881,884,508,425,148,189,775,862,275,
309,640,845,822,229,683,177,520,767,872,904,729,603,372,140,528,812,729,191,
675,838,181,880,873,568,483,890,390,030,946,431,492,514,068,013,628,945,619,
886,932,824,299,031,094,677,443,551,091,029,539,750,652,990,611,681,571,167,
083,404,942,432,201,188,898,810,945,785,383,187,260,505,334,421,965,286,218,
577,662,435,516,270,075,588,360,763,957,668,273,508,293,152,321,759,445,289,
438,012,093,354,335,651,791,342,623,777,804,992,261,784,004,723,876,655,084,
615,512,301,681,362,447,866,993,899,869,846,625,176,367,417,211,388,460,570,
659,765,965,365,763,670,205,705,218,439,384,311,178,737,482,390,665,169,117,
211,365,072,675,073,953,423,141,725,632,107,719,107,612,833,483,721,992,341,
961,983,732,092,612,756,024,709,021,844,118,758,307,923,210,807,649,389,396,
409,995,882,169,167,871,995,410,386,045,375,285,965,476,442,303,817,384,601,
822,981,636,223,619,109,170,768,432,282,801,059,953,495,502,580,313,178,664,
058,499,958,271,756,229,946,118,157,203,566,807,727,511,031,436,022,318,444,
692,928,174,323,212,887,837,198,520,906,373,745,252,603,661,511,355,428,102,
866,889,750,083,211,871,379,671,508,018,973,680,035,408,796,964,097,401,436,
961,634,154,725,128,841,566,433,848,119,341,075,292,615,731,949,690,600,453,
410,506,255,905,394,079,574,425,437,700,152,277,547,965,897,617,735,371,404,
735,145,182,650,056,625,913,211,101,409,408,980,094,228,139,594,191,577,603,
521,228,257,445,309,160,243,291,164,797,925,700,710,338,333,165,252,976,119,
057,506,196,978,076,684,247,759,725,959,150,303,416,462,931,295,380,957,360,
470,060,497,850,090,124,175,271,013,165,535,597,051,012,244,940,624,333,981,
707,321,840,042,351,490,039,814,888,894,218,430,779,808,813,794,425,001,036,
723,159,295,017,401,026,604,042,463,791,982,410,212,144,831,255,366,721,923,
887,501,666,853,561,646,611,808,788,885,171,635,467,239,646,863,809,490,041,
113,047,267,853,500,049,064,749,678,887,372,846,509,440,793,438,629,836,167,
112,836,674,523,264,783,713,161,650,828,514,724,298,097,472,062,490,810,730,
260,559,379,176,186,805,820,989,051,960,124,852,860,679,802,564,124,261,225,
168,788,827,961,159,928,489,768,439,116,344,094,314,037,005,548,113,846,325,
264,485,345,793,979,288,456,934,854,849,156,995,945,116,754,993,093,941,428,
770,788,689,113,327,801,954,262,651,563,982,477,361,856,451,258,971,212,099,
425,903,803,255,567,454,274,945,618,445,359,641,171,624,417,121,728,861,085,
010,287,995,215,179,374,099,079,074,018,712,428,944,485,133,679,239,892,227,
631,416,064,734,743,207,934,283,262,456,776,365,455,290,454,235,764,718,590,
107,157,330,238,742,717,616,844,297,576,554,126,266,105,613,958,954,278,546,
923,478,144,316,938,394,586,151,917,783,063,792,189,681,360,100,432,651,172,
099,325,772,884,578,544,574,537,063,954,536,824,332,081,673,377,767,894,252,
708,089,940,491,204,785,505,947,896,561,245,400,032,173,287,796,061,543,905,
471,549,264,457,085,974,839,797,654,632,881,756,691,783,939,968,569,995,835,
362,718,047,397,637,202,964,594,176,554,362,631,029,979,278,074,530,795,040,
192,645,502,198,350,063,535,224,718,627,906,894,803,543,883,778,280,096,700,
224,624,587,719,358,422,476,151,650,099,825,156,343,409,252,545,902,387,585,
233,458,187,520,162,510,551,188,218,967,474,487,316,789,186,919,285,972,112,
278,375,395,744,141,971,601,865,068,242,347,466,920,572,401,952,640,030,349,
062,595,662,969,521,972,123,834,970,548,471,084,021,460,416,066,717,169,093,
921,151,208,519,587,133,390,598,179,312,577,845,791,162,315,241,821,386,467,
563,807,615,880,985,852,245,423,400,494,683,017,759,192,595,930,759,238,463,
727,933,501,477,754,365,168,534,166,593,662,380,448,896,114,414,044,975,051,
274,306,508,908,619,819,739,071,717,850,321,706,040,874,014,864,245,871,031,
947,369,349,318,638,024,856,888,466,983,042,948,933,671,516,541,485,058,664,
963,183,328,237,315,770,521,727,867,284,250,943,531,823,808,242,989,688,281,
848,461,853,354,465,134,834,283,535,843,307,273,881,079,744,937,904,963,331,
862,897,036,219,911,035,573,055,081,566,416,579,584,338,298,816,222,588,488,
566,504,162,810,947,430,682,086,361,093,186,369,097,547,955,214,408,029,504,
607,759,077,712,336,860,959,621,542,057,619,132,103,359,308,751,145,502,901,
253,202,520,814,155,653,757,112,709,483,418,110,621,496,244,921,605,106,141,
705,364,351,853,958,023,793,689,206,510,697,069,443,249,678,125,528,134,649,
675,644,936,475,091,159,614,171,892,723,214,320,549,580,339,709,521,835,946,
913,683,034,686,249,348,740,410,525,108,875,622,497,863,469,799,600,544,810,
085,091,435,702,663,671,869,704,240,299,551,132,411,789,570,536,917,483,344,
052,485,892,867,246,857,009,466,292,024,049,711,269,926,840,223,206,930,417,
159,601,988,845,781,674,673,453,277,471,915,531,948,193,534,763,371,013,583,
717,251,435,973,883,464,596,260,205,156,778,136,660,578,289,874,832,452,482,
135,760,179,895,551,566,378,093,508,972,023,071,950,816,244,662,197,649,108,
547,842,031,956,510,343,467,475,974,378,631,084,582,514,881,453,878,686,840,
231,756,971,676,411,792,052,574,016,741,530,579,147,554,273,514,522,426,873,
975,252,587,376,087,725,041,855,006,997,401,672,404,715,509,889,629,851,580,
570,886,353,564,631,462,441,859,817,885,926,696,573,206,358,200,716,550,986,
801,641,328,353,112,661,305,152,972,781,472,486,511,651,142,161,064,906,840,
155,778,655,491,526,173,002,139,249,146,698,728,507,495,877,879,271,733,048,
634,730,206,956,617,217,077,564,168,207,543,618,916,489,689,873,513,279,839,
490,713,914,054,534,625,532,837,050,494,840,061,724,308,072,912,073,859,759,
943,501,592,376,166,114,674,924,829,395,151,909,025,833,554,461,443,290,145,
456,732,797,936,239,076,314,543,160,975,952,229,251,740,331,548,615,730,175,
688,662,270,047,821,264,423,280,788,734,367,785,257,605,821,943,563,778,662,
573,707,666,445,330,753,756,865,183,403,179,455,810,621,957,775,980,200,907,
688,791,390,217,586,449,396,274,423,885,696,758,313,480,131,595,594,089,877,
293,745,909,876,498,498,934,260,785,879,733,594,061,627,730,581,324,587,712,
986,561,907,796,543,666,376,334,692,440,438,189,528,614,267,833,803,958,114,
644,157,528,587,961,709,131,835,259,954,676,131,288,033,043,165,816,148,182,
177,786,660,760,833,424,075,737,481,511,714,986,385,647,191,871,523,269,819,
064,403,941,503,543,139,197,465,111,838,751,217,341,612,934,667,911,928,864,
059,124,696,417,139,638,863,130,938,400,139,680,192,723,218,731,299,869,173,
801,779,924,220,821,283,305,837,755,488,598,188,923,649,830,590,036,783,190,
880,180,419,239,064,825,994,925,914,764,811,711,282,796,986,145,207,137,069,
127,310,693,079,346,956,342,453,437,779,239,913,753,805,885,079,979,087,021,
799,080,040,856,018,131,992,734,258,498,291,842,259,466,341,589,767,778,289,
332,624,126,892,332,905,730,252,897,287,826,510,608,879,314,360,889,337,685,
479,048,380,220,142,572,566,892,599,600,011,310,905,343,530,697,288,225,348,
704,952,265,146,731,597,006,062,399,256,350,643,268,595,127,014,272,942,998,
935,125,582,180,159,174,264,100,297,543,002,202,163,826,476,446,174,982,134,
349,213,868,088,018,504,369,080,012,594,040,448,956,370,275,999,455,059,400,
812,329,730,641,504,899,510,526,032,182,654,436,082,982,725,315,484,471,316,
780,004,517,987,312,993,030,380,759,952,514,692,473,983,966,613,616,511,831,
318,203,516,476,617,087,503,181,644,636,170,984,689,883,577,292,223,560,696,
534,141,389,590,237,169,288,020,152,940,997,209,123,075,530,130,000,734,787,
648,458,077,324,771,781,628,186,054,003,877,541,874,907,799,915,140,202,339,
978,559,340,830,707,407,087,176,840,531,289,735,990,831,369,818,245,982,317,
623,428,206,697,993,722,959,896,053,262,987,923,823,512,696,978,269,243,451,
773,055,071,123,428,089,340,715,031,632,562,428,257,623,412,897,516,454,777,
502,151,386,876,173,108,271,706,137,371,960,416,621,817,540,800,649,973,020,
179,962,097,456,207,911,045,191,313,963,449,539,395,165,066,567,850,477,645,
903,409,808,961,538,240,363,152,223,656,383,612,982,705,693,722,539,913,345,
494,519,362,217,284,033,837,162,078,963,494,684,808,870,694,683,898,079,946,
499,070,625,614,393,844,637,407,004,222,087,391,088,574,107,100,170,659,958,
992,246,292,359,896,980,222,713,730,439,271,390,656,443,985,514,963,951,911,
007,628,202,850,260,214,788,469,209,489,992,023,327,914,220,801,992,202,552,
325,129,233,007,154,085,730,726,744,748,780,285,666,691,053,488,698,827,024,
854,696,220,101,683,075,382,347,648,275,968,763,441,009,521,147,913,385,463,
264,939,740,565,941,683,667,731,660,868,314,480,024,872,723,107,384,984,330,
356,661,066,987,893,712,328,408,606,238,951,367,771,316,992,269,871,565,470,
741,279,764,197,159,561,644,856,000,457,622,898,929,781,225,038,615,128,284,
469,196,750,324,291,347,838,056,840,790,040,481,881,282,646,732,469,085,328,
005,744,634,577,504,818,962,553,467,446,594,068,616,316,544,927,081,588,398,
494,441,180,781,883,469,213,968,464,677,462,626,171,826,714,817,258,120,749,
752,878,682,868,258,323,897,446,143,838,875,944,435,142,326,622,963,166,038,
375,367,268,782,810,586,164,808,254,642,510,202,580,673,978,578,150,522,170,
994,615,024,957,263,154,142,401,969,437,616,963,219,816,348,288,455,829,693,
803,074,260,765,953,985,733,162,031,778,559,860,178,032,562,900,242,128,700,
255,988,315,858,325,012,354,995,218,175,642,914,898,468,125,722,708,414,376,
665,680,421,401,893,346,259,370,159,147,457,762,650,293,559,453,073,521,424,
606,056,871,639,614,798,651,775,583,370,552,897,833,909,861,380,818,013,144,
884,797,611,694,918,552,491,706,756,813,444,397,504,395,368,512,012,815,022,
403,836,966,577,751,680,291,354,455,232,652,712,066,793,839,659,452,349,703,
600,760,757,469,644,355,951,192,516,466,374,995,259,725,303,054,198,467,630,
216,409,907,673,989,461,154,687,948,119,220,410,616,309,190,525,078,874,397,
559,102,991,900,354,516,130,301,844,342,991,428,370,263,520,953,430,804,723,
318,541,900,001,073,793,211,235,125,803,141,751,475,617,001,539,257,818,308,
874,800,066,482,446,150,026,928,509,878,630,868,505,135,153,618,932,727,836,
683,872,130,905,723,681,079,790,133,438,522,627,208,024,823,027,806,097,903,
364,905,366,237,892,930,977,927,561,553,343,332,002,466,284,658,337,933,360,
905,453,002,269,331,443,680,511,221,034,957,548,813,523,114,919,339,899,728,
623,124,829,690,642,894,287,494,452,470,247,440,686,506,424,324,929,993,210,
530,801,253,147,873,970,379,941,926,693,083,314,791,082,583,959,862,028,380,
561,689,924,830,188,749,149,615,498,408,848,170,923,971,992,800,575,723,654,
965,818,043,127,506,027,567,900,882,756,515,592,300,926,586,815,095,627,058,
043,711,849,876,951,944,111,459,679,778,908,188,135,095,835,752,100,416,760,
652,082,867,776,468,678,361,444,107,172,358,038,173,157,711,237,521,865,287,
432,993,435,044,015,720,128,617,826,334,448,501,169,581,845,674,126,440,358,
348,947,599,113,523,980,325,523,752,629,506,755,432,245,889,240,285,716,029,
038,840,275,076,397,158,733,012,445,517,349,420,269,905,550,195,187,544,028,
845,790,559,089,506,180,043,338,689,439,422,297,940,418,545,292,151,694,838,
941,445,487,939,901,627,617,412,449,532,356,973,755,541,400,297,543,257,636,
880,875,021,931,492,136,449,315,260,829,072,200,825,232,205,076,956,989,666,
705,695,500,484,385,511,665,504,584,688,122,933,920,207,001,111,245,777,508,
051,894,999,909,261,054,993,973,836,110,824,404,885,273,061,641,613,101,676,
999,654,802,005,855,948,312,057,786,931,736,823,904,535,513,036,840,276,468,
539,689,351,312,993,384,844,685,698,248,824,731,595,612,151,591,258,619,272,
192,291,838,163,797,030,079,399,507,291,380,345,354,015,506,251,607,411,378,
612,850,792,677,392,071,307,926,459,068,973,537,062,756,822,154,862,718,053,
954,940,500,139,077,793,087,030,960,989,178,250,876,902,445,185,329,848,821,
576,114,941,253,889,192,758,437,597,851,712,671,316,649,625,505,388,597,494,
088,640,299,456,393,879,788,068,663,729,587,705,435,836,984,431,114,136,366,
044,427,055,707,875,112,004,547,193,895,247,653,313,579,246,934,650,067,014,
798,801,595,221,826,486,200,138,034,844,221,088,252,843,527,652,726,214,327,
412,654,534,836,758,296,598,251,929,078,676,557,279,486,099,247,760,381,903,
708,605,530,951,382,039,036,716,540,058,619,136,213,467,829,035,505,352,538,
569,151,376,769,557,346,659,233,631,353,677,474,524,861,611,851,710,227,850,
975,076,058,864,376,995,524,296,662,860,902,941,601,447,767,568,902,016,810,
896,881,610,992,010,588,380,983,400,321,065,261,477,564,436,433,220,240,525,
096,553,877,908,395,495,650,338,602,688,893,553,094,271,403,540,033,256,672,
201,848,246,161,173,363,910,161,201,530,417,975,738,038,644,116,363,064,720,
683,527,191,807,542,999,819,045,745,032,454,920,942,860,630,985,148,987,006,
391,778,142,355,352,504,267,523,428,958,277,831,003,309,704,621,440,369,726,
240,203,112,168,857,523,112,522,356,704,550,399,402,011,430,768,493,020,868,
737,112,504,564,320,886,141,974,416,973,234,877,257,642,036,772,976,338,640,
844,048,012,061,189,980,246,014,976,862,408,687,642,529,266,640,896,603,413,
786,158,369,387,043,426,886,147,684,283,334,071,189,480,536,577,462,816,183,
940,947,996,325,778,767,592,935,861,930,713,350,659,653,869,316,894,900,197,
979,306,216,130,842,600,487,516,302,819,060,593,543,100,227,433,831,299,477,
317,274,915,640,905,399,828,970,009,202,366,990,614,441,614,924,415,890,944,
995,094,523,943,161,537,707,216,347,522,416,382,940,452,728,211,743,293,051,
513,449,401,484,637,340,668,454,330,707,656,444,517,449,050,118,417,597,671,
053,430,448,691,756,983,689,876,735,011,190,028,913,914,398,429,242,096,580,
200,963,443,769,589,193,619,317,112,979,644,224,432,568,733,308,303,589,066,
738,704,014,366,388,012,281,760,076,113,077,022,777,304,363,280,938,237,075,
763,145,646,006,762,480,549,884,870,581,362,916,540,466,164,674,418,327,204,
831,740,186,678,556,431,528,852,530,696,931,722,406,066,554,522,861,602,956,
313,548,224,667,982,133,916,224,716,855,388,006,962,606,027,451,266,041,431,
613,457,531,378,042,024,510,133,008,652,627,821,884,600,785,850,058,960,814,
734,060,879,164,867,635,981,580,860,387,062,667,607,735,500,517,039,221,988,
627,312,615,709,120,125,556,090,563,612,218,074,337,706,965,834,918,414,132,
118,337,403,478,597,184,353,271,431,838,259,017,855,166,305,032,224,676,695,
218,300,189,602,708,420,679,295,776,282,275,046,693,909,131,698,390,731,038,
571,286,749,991,422,304,047,827,714,709,072,373,338,158,348,384,693,713,007,
953,800,789,958,210,250,560,234,113,882,016,772,078,166,845,563,411,001,472,
156,840,462,402,255,124,558,701,597,306,620,634,920,492,128,976,378,870,881,
200,951,745,111,731,090,013,663,066,346,153,765,477,474,316,059,418,896,516,
490,673,654,169,792,737,727,719,400,036,200,720,641,172,101,405,537,072,230,
417,244,627,749,383,998,585,578,193,845,696,372,906,173,754,015,072,127,325,
151,985,083,279,735,652,273,073,384,752,940,086,194,999,394,205,588,669,374,
411,621,325,719,786,986,538,979,383,580,964,941,943,486,542,819,138,118,774,
587,113,147,295,368,985,344,053,230,182,596,023,102,553,370,906,558,172,816,
052,193,438,319,378,311,197,745,567,134,218,929,397,718,540,279,414,557,708,
471,113,073,192,209,314,442,785,184,604,581,747,352,818,583,504,432,662,213,
147,591,951,103,207,851,917,839,563,377,888,614,046,291,555,577,219,917,313,
438,670,622,959,903,764,634,088,704,934,982,078,408,480,183,168,814,166,251,
054,629,756,059,881,989,288,996,458,426,864,475,182,216,883,742,880,333,563,
582,240,214,535,687,554,397,555,933,807,551,823,369,771,093,523,001,793,152,
180,234,190,704,940,044,056,412,334,136,828,671,024,093,735,949,477,716,441,
191,849,167,956,553,871,597,240,309,420,925,702,733,558,430,909,394,940,041,
780,921,605,433,774,212,227,755,603,665,577,349,283,800,051,480,764,224,108,
366,889,680,005,764,662,319,768,448,494,429,273,746,190,322,135,988,950,664,
186,027,292,800,098,896,883,633,527,146,371,032,992,185,965,373,783,993,763,
859,460,455,224,648,153,452,443,110,018,357,139,795,928,436,120,348,222,529,
723,935,251,257,489,358,558,477,517,947,988,885,671,636,112,237,935,663,511,
115,886,988,924,924,265,853,814,752,347,116,645,825,357,632,625,058,569,578,
058,898,807,205,546,903,963,948,455,627,168,583,878,432,440,565,164,284,819,
635,514,187,712,153,187,382,956,211,811,529,531,750,624,363,016,270,800,818,
572,477,651,889,388,622,099,199,049,072,942,319,602,308,580,282,474,829,536,
586,898,741,011,955,791,120,875,806,713,286,901,654,813,035,556,788,227,413,
035,481,474,340,409,208,101,357,567,082,101,645,358,957,484,429,142,788,811,
120,976,538,254,147,383,700,540,413,857,724,712,346,095,111,413,341,033,203,
920,217,782,766,275,179,118,116,103,262,470,611,130,385,982,285,859,702,375,
243,087,515,910,759,647,853,051,346,353,925,577,239,071,148,393,694,894,060,
035,135,317,367,371,581,687,103,852,330,307,527,816,977,551,796,327,478,004,
779,712,172,401,988,859,230,320,002,224,307,845,169,493,511,024,932,334,423,
607,425,137,775,134,154,095,569,098,442,046,944,772,635,445,441,652,405,841,
564,804,262,618,879,811,264,628,505,958,991,848,587,167,498,284,571,644,383,
882,329,536,727,491,171,316,315,072,870,400,998,632,991,084,330,876,393,365,
773,289,322,824,577,120,099,558,294,039,279,589,546,150,309,618,824,078,369,
942,861,444,284,835,922,482,672,003,141,853,749,604,701,527,472,155,961,059,
620,732,102,440,473,407,387,945,068,266,812,091,717,778,039,004,688,498,331,
401,904,493,256,298,524,636,581,242,398,525,519,979,403,425,962,025,002,306,
670,559,042,422,020,572,597,858,329,930,405,712,894,301,584,521,207,138,542,
503,572,338,636,917,366,712,705,351,509,787,863,160,687,908,425,026,623,682,
798,462,175,598,337,838,693,745,177,427,815,498,945,004,648,678,366,347,251,
277,967,591,886,434,515,754,917,273,933,002,021,905,197,700,062,550,069,445,
709,599,050,393,880,669,035,658,019,377,003,879,751,335,873,201,705,018,858,
852,670,858,486,285,111,253,091,033,980,311,320,950,444,601,143,671,642,037,
900,674,735,969,841,948,811,857,008,843,447,957,466,124,618,509,666,497,124,
807,680,259,458,583,455,435,180,709,034,696,653,556,675,511,017,511,671,772,
524,803,108,905,046,370,869,618,982,680,208,659,989,870,974,814,601,846,834,
983,890,586,966,466,087,130,673,153,292,829,159,837,918,525,282,419,140,149,
269,344,590,144,095,575,516,403,973,056,992,300,080,615,793,997,076,267,408,
634,089,250,104,638,539,138,896,012,602,383,087,797,191,808,276,019,439,572,
644,486,305,529,012,220,671,639,581,129,367,149,042,118,655,755,540,590,552,
785,450,054,217,488,962,045,294,162,430,476,541,578,860,138,346,409,520,095,
859,675,936,808,697,658,610,449,561,663,077,120,856,167,825,410,616,965,541,
354,521,437,490,746,779,188,013,274,234,984,146,849,558,419,267,666,067,341,
286,786,527,343,036,063,926,470,491,234,519,626,144,069,334,461,453,164,234,
581,749,633,051,005,572,650,312,350,782,751,880,108,238,465,453,677,226,061,
525,085,748,460,613,766,079,552,026,266,269,524,761,602,020,259,144,509,091,
686,864,942,790,599,689,429,259,886,969,025,278,045,056,549,243,642,951,751,
046,919,528,097,699,819,242,737,305,410,275,325,866,514,116,453,120,940,523,
630,691,759,016,331,006,608,053,592,679,140,566,787,621,751,056,252,300,245,
464,117,688,516,284,347,761,566,932,092,091,953,686,389,704,925,358,452,353,
158,548,386,382,422,430,504,896,040,952,157,180,323,195,372,802,175,229,934,
258,453,636,383,788,879,453,435,274,885,954,863,245,857,746,998,832,552,091,
271,720,370,900,239,725,176,977,121,404,134,743,974,428,418,895,083,814,527,
897,265,442,466,102,029,349,821,912,393,380,102,527,632,081,164,914,936,268,
434,186,942,985,175,872,798,412,893,538,262,897,416,977,300,961,333,779,546,
836,410,400,085,666,517,637,985,241,097,239,123,235,620,552,914,375,581,362,
610,853,082,478,869,028,003,871,714,261,722,925,806,465,651,925,986,235,805,
528,312,012,665,004,542,990,703,748,372,510,516,855,529,971,359,219,005,892,
521,593,276,165,066,938,772,030,196,963,403,127,886,366,253,142,803,530,475,
300,102,846,141,285,637,484,996,567,169,661,931,291,875,192,736,994,896,637,
428,632,233,509,611,485,471,456,841,778,303,705,221,734,324,571,640,835,056,
163,427,423,620,914,324,305,022,230,974,876,936,217,267,099,192,119,969,605,
149,417,933,920,373,730,058,559,615,969,299,384,462,677,490,223,631,720,247,
758,324,077,160,378,675,798,231,401,113,900,414,628,284,867,357,692,223,886,
187,120,633,681,306,622,912,051,944,137,076,737,870,970,300,305,298,064,406,
653,000,297,866,911,546,639,701,874,289,928,885,949,754,035,622,073,819,626,
771,944,747,874,046,878,199,399,562,381,331,818,802,741,244,122,008,122,824,
665,169,519,589,288,525,778,062,949,264,202,841,681,253,625,811,770,235,946,
771,926,117,918,279,722,091,542,919,468,077,425,727,928,077,892,344,313,633,
610,811,612,111,966,000,107,751,563,480,393,171,573,723,254,173,275,246,756,
946,399,636,121,107,632,735,274,032,735,752,785,589,616,899,716,864,157,755,
890,977,045,617,888,433,504,828,709,907,133,549,598,253,962,553,704,973,149,
833,918,460,664,321,010,607,708,391,706,670,718,980,858,133,003,470,164,976,
363,840,085,484,309,699,379,057,272,188,153,350,077,152,837,505,865,239,708,
531,852,730,498,350,771,805,201,221,474,531,839,647,697,407,984,832,350,851,
588,234,880,395,366,913,233,684,242,181,273,988,575,132,203,310,746,646,785,
701,165,804,368,594,193,850,501,572,605,565,916,489,698,559,935,441,313,259,
021,771,379,267,836,231,792,147,791,083,440,675,958,175,716,161,548,081,502,
022,729,092,795,061,598,781,845,847,852,650,547,050,804,513,546,058,700,295,
333,005,950,746,851,982,974,131,749,952,245,917,355,279,566,321,279,792,713,
339,670,884,854,987,701,479,158,311,291,011,123,011,059,880,029,772,717,493,
387,711,223,995,779,790,966,675,059,643,287,001,273,722,236,379,677,045,794,
914,149,986,227,849,559,287,689,269,024,403,066,250,683,467,354,039,768,078,
263,111,322,827,717,655,322,212,752,214,646,465,073,040,503,226,033,986,749,
769,197,827,648,105,165,992,539,825,219,855,033,263,604,099,691,646,723,750,
596,517,047,871,943,062,834,384,259,411,409,205,605,124,770,477,012,492,369,
089,291,052,593,876,174,235,659,844,108,257,028,575,778,414,198,684,200,560,
295,006,094,858,581,423,383,666,214,074,888,556,647,570,865,933,403,399,265,
447,413,024,996,918,007,851,882,290,613,267,336,622,248,652,382,701,785,451,
142,857,940,212,873,121,124,392,826,862,303,847,271,797,597,967,171,236,977,
794,198,597,917,755,105,661,071,999,418,897,658,758,873,130,276,645,166,585,
334,971,156,596,141,774,796,129,674,560,295,786,656,427,356,599,801,957,184,
557,699,809,043,907,418,815,861,793,318,760,092,726,215,424,371,338,483,896,
674,055,520,622,629,583,808,978,342,007,052,165,426,352,502,836,109,068,581,
589,731,857,061,238,339,594,823,988,438,589,140,933,500,328,954,852,931,666,
708,740,393,054,876,929,222,145,732,130,327,539,927,138,697,770,029,794,731,
643,097,926,240,840,802,073,879,771,659,904,511,494,634,989,967,974,348,162,
567,160,469,033,905,262,473,345,045,887,451,740,019,233,822,530,714,326,606,
012,612,551,289,207,537,063,004,367,275,404,319,312,169,551,678,439,394,036,
627,878,324,465,084,453,658,787,142,701,170,527,173,733,454,915,838,829,539,
552,219,028,427,081,058,049,406,727,162,045,141,889,704,020,906,784,318,679,
567,431,844,420,104,076,544,130,311,119,920,875,970,110,224,350,744,163,025,
740,765,673,637,675,890,912,965,623,148,341,647,843,993,955,935,043,691,088,
016,051,048,930,874,232,272,556,719,192,671,606,845,741,395,487,173,598,787,
455,140,206,867,351,870,234,130,171,290,604,976,010,517,360,084,640,727,939,
872,407,237,315,936,286,230,823,248,432,735,862,832,626,344,454,979,753,455,
528,322,931,688,500,443,349,040,908,906,870,252,849,583,958,016,025,147,933,
516,951,722,845,363,590,360,536,654,547,703,895,053,201,287,339,678,397,934,
625,222,338,201,177,317,382,860,199,558,476,276,183,242,410,970,025,740,591,
539,407,633,490,523,779,659,594,431,678,701,409,937,818,533,453,355,445,908,
910,649,754,669,221,502,369,277,576,452,698,085,186,465,573,075,193,142,909,
560,111,116,676,729,155,955,726,882,847,541,540,626,157,390,343,528,916,083,
498,316,904,044,976,489,202,877,027,318,892,734,452,799,127,028,534,205,760,
277,725,807,157,046,377,915,382,925,482,531,174,800,012,625,970,858,995,253,
827,156,003,310,641,387,580,925,351,641,406,165,950,667,731,815,374,139,459,
527,791,811,080,501,268,802,149,031,429,288,848,384,225,036,410,296,754,122,
584,641,612,865,677,355,476,344,478,565,671,259,566,333,918,286,419,422,597,
498,126,201,020,675,217,255,643,253,875,675,874,164,085,337,387,968,743,804,
825,101,316,490,324,458,562,999,545,062,884,090,221,512,451,747,482,339,401,
771,342,903,367,897,904,509,389,781,578,622,678,233,818,231,597,345,220,986,
588,258,573,403,070,302,833,306,789,161,254,768,015,575,302,290,801,576,030,
730,139,590,578,068,054,162,084,408,382,283,653,830,882,292,211,551,629,494,
360,159,884,639,621,454,862,668,976,040,260,762,311,693,473,515,167,341,895,
757,035,990,902,811,183,649,053,444,006,779,782,409,554,981,062,495,026,948,
494,554,002,863,134,763,381,516,736,735,412,920,124,798,701,891,151,434,253,
510,419,294,498,291,932,354,919,728,799,861,765,432,566,302,176,376,190,790,
998,027,315,082,286,987,429,932,647,770,496,888,855,835,333,120,716,791,310,
756,928,790,563,611,946,320,649,353,230,635,430,819,679,280,830,217,119,085,
811,918,958,874,400,621,161,335,291,481,824,158,620,854,002,744,690,273,939,
756,624,584,548,018,716,203,127,306,499,536,562,973,935,310,501,066,502,339,
961,159,277,147,293,134,496,591,698,362,453,313,294,136,391,934,970,521,565,
163,077,297,295,515,884,305,652,101,948,047,696,601,485,404,207,778,148,557,
698,131,833,297,489,353,156,313,904,158,683,325,336,680,700,027,488,337,898,
941,898,029,577,908,175,016,990,757,925,647,336,787,530,522,683,647,916,431,
557,580,019,257,165,284,723,424,734,023,698,966,452,344,299,426,753,552,822,
755,397,042,959,454,925,554,655,727,792,341,033,115,048,734,488,517,934,581,
724,523,115,180,758,135,599,615,675,014,872,861,270,951,462,380,370,325,350,
309,156,141,031,998,993,235,318,022,034,393,678,679,293,598,944,523,678,827,
846,991,768,914,970,291,015,999,213,631,144,645,894,632,359,124,967,314,233,
233,713,755,195,502,575,161,567,031,936,944,218,972,848,925,976,809,967,012,
119,516,733,652,241,572,942,045,315,293,439,598,678,390,911,084,302,652,371,
279,388,377,291,220,324,955,882,164,384,490,437,800,738,654,792,761,987,083,
823,512,966,117,804,145,011,022,913,244,806,221,457,712,380,837,035,485,346,
914,473,321,012,296,027,949,915,514,070,390,106,763,730,663,392,888,967,235,
769,628,738,094,431,602,394,021,913,511,015,380,169,024,741,761,956,075,639,
621,401,740,294,019,841,159,136,049,941,939,331,818,011,119,896,378,412,327,
091,299,749,864,544,963,395,554,605,658,916,486,428,934,522,620,460,437,740,
088,091,851,956,874,171,734,283,960,695,558,711,623,636,204,101,043,836,444,
219,169,989,972,448,896,222,243,220,904,757,483,823,323,769,622,170,852,933,
825,229,075,540,402,889,462,133,903,725,761,644,666,037,280,589,946,107,391,
092,695,895,825,256,603,126,744,839,199,011,709,550,313,900,848,636,588,569,
779,854,941,927,553,274,314,411,338,574,060,106,439,224,463,469,993,293,786,
681,826,583,912,835,932,754,779,318,988,846,264,547,207,701,768,344,589,282,
020,588,962,896,301,481,245,828,315,500,230,235,232,548,275,988,531,565,500,
616,371,258,916,622,118,001,145,169,938,481,009,582,962,737,616,042,620,327,
968,033,205,587,896,950,831,060,971,275,670,766,618,496,225,641,496,162,219,
237,620,272,109,143,789,050,426,410,662,440,025,455,217,336,520,294,415,320,
992,121,408,522,792,176,926,586,054,935,723,377,676,919,467,019,758,220,861,
096,809,174,419,332,307,374,800,563,426,319,391,695,339,652,874,958,651,441,
474,003,989,345,235,530,921,483,791,137,407,071,103,449,195,854,198,614,790,
175,684,044,267,618,755,172,826,070,754,279,327,306,795,504,091,281,936,190,
391,045,824,078,920,364,273,909,052,266,738,497,653,644,472,705,222,911,320,
063,010,985,889,853,728,910,651,120,949,202,581,255,398,448,239,293,781,693,
684,731,271,243,254,937,626,698,398,119,390,127,349,010,640,450,224,103,600,
911,468,998,337,220,675,793,823,524,731,128,895,800,827,821,335,366,730,998,
149,243,494,726,400,373,608,392,425,488,455,700,605,209,739,012,129,474,516,
141,567,004,650,993,005,769,749,295,732,424,601,762,913,694,039,808,069,505,
279,332,987,073,137,891,019,707,071,202,001,766,385,291,157,628,597,552,501,
805,950,399,926,785,531,056,985,498,507,399,623,329,300,921,511,041,612,612,
137,679,326,673,685,763,586,720,480,812,919,450,145,587,425,464,132,499,399,
997,139,388,008,158,129,607,829,160,955,220,148,337,736,655,145,690,415,908,
714,773,603,120,653,577,926,246,289,173,371,942,810,707,633,434,441,315,479,
438,621,594,596,192,672,220,340,133,913,969,438,448,898,779,507,429,768,713,
790,744,011,841,275,702,482,452,041,365,002,189,514,192,467,520,492,962,467,
105,524,107,481,970,934,388,183,523,702,236,508,102,612,051,924,616,865,233,
750,005,902,565,794,952,978,367,633,353,234,516,422,964,608,481,039,874,333,
444,784,511,732,446,900,286,305,212,605,747,675,189,211,732,411,190,949,790,
934,195,227,346,983,853,215,763,298,760,660,860,134,768,292,649,820,355,733,
460,486,536,002,786,954,073,714,543,434,783,198,016,277,606,362,247,834,775,
637,564,774,401,159,890,354,816,453,809,512,956,641,156,054,746,171,221,631,
139,504,032,714,603,818,568,514,772,410,205,559,782,305,359,201,090,010,882,
831,314,814,138,559,032,181,807,276,135,671,562,709,009,446,236,876,411,449,
007,435,460,529,443,489,023,069,496,672,216,749,548,991,997,649,115,969,055,
713,579,141,784,404,223,478,881,935,092,196,887,850,025,217,013,906,325,028,
498,963,131,827,839,834,943,799,060,374,469,371,185,398,835,826,982,584,359,
286,770,801,712,748,322,726,277,797,686,055,968,930,023,640,049,726,871,171,
733,308,161,787,087,503,872,348,157,263,766,735,568,738,780,621,950,019,624,
264,652,982,428,705,910,476,512,505,009,370,119,629,184,145,802,802,603,274,
364,377,861,416,467,868,352,760,081,592,038,798,096,158,872,647,248,119,045,
256,323,851,027,191,708,216,269,846,750,752,883,783,247,547,150,033,817,470,
361,587,765,665,836,498,824,281,118,056,585,164,053,835,770,199,367,641,985,
492,721,474,746,387,576,269,627,646,554,845,772,050,938,083,038,330,297,146,
086,330,144,262,244,745,676,104,850,616,542,431,896,489,131,972,084,236,429,
986,960,970,849,432,239,281,661,997,241,023,146,215,347,490,157,803,157,992,
540,640,165,172,840,035,998,226,961,185,328,707,575,838,531,686,561,451,230,
250,549,674,684,817,488,461,223,832,701,878,120,326,028,906,911,494,651,800,
316,442,662,118,464,853,446,654,488,214,281,104,925,715,808,764,276,578,077,
500,348,355,065,786,007,303,666,416,515,773,426,972,502,797,521,246,338,811,
295,755,180,630,223,129,260,492,275,454,502,709,708,824,376,154,605,495,308,
776,921,277,315,169,527,615,896,976,936,765,935,626,504,180,104,220,776,440,
843,133,863,665,220,110,766,694,478,505,462,175,339,568,721,962,745,684,415,
351,110,756,605,506,171,143,453,716,512,691,805,447,098,750,130,383,574,800,
515,001,384,337,764,953,978,543,069,578,041,541,134,853,688,494,657,494,446,
549,538,152,984,799,579,905,129,296,553,709,181,101,358,353,875,548,216,609,
594,784,572,025,974,221,966,732,785,431,435,950,246,822,385,966,224,658,330,
981,875,257,279,070,961,300,101,097,102,068,711,296,215,241,234,669,615,912,
226,812,064,132,801,074,287,844,116,120,961,382,758,121,684,489,221,527,811,
533,120,808,867,514,916,789,189,704,246,894,668,555,746,321,535,160,303,396,
376,533,816,133,385,708,927,544,667,971,241,471,751,677,860,938,919,917,465,
469,361,137,813,260,019,596,585,074,239,998,231,200,945,978,325,350,425,835,
669,048,911,683,028,554,898,300,509,882,248,082,021,175,049,721,786,422,474,
344,638,282,310,479,236,900,502,067,572,786,568,037,190,038,159,308,421,507,
437,636,480,921,040,194,154,199,473,962,744,217,309,844,910,246,187,726,243,
761,438,637,173,200,909,908,284,091,472,125,523,129,181,305,406,389,285,165,
362,127,909,031,893,913,949,409,216,880,874,848,101,832,770,798,110,086,311,
192,951,892,791,009,210,185,459,033,139,322,052,701,568,528,494,421,668,940,
610,615,825,973,106,013,638,323,663,582,949,386,477,801,095,005,977,758,402,
980,568,729,681,820,341,350,591,436,719,444,944,380,400,909,159,347,504,686,
437,237,355,406,823,856,165,087,518,873,680,645,427,346,430,513,587,129,036,
683,116,172,520,915,629,535,776,300,221,350,997,864,105,518,658,860,348,885,
359,410,270,038,762,789,979,606,713,821,268,216,282,235,252,714,530,782,261,
518,041,919,400,273,235,101,891,923,958,234,495,180,696,762,585,739,291,680,
769,739,138,896,068,729,992,547,163,569,798,648,384,713,518,337,074,608,098,
657,470,330,113,203,448,710,683,925,491,838,626,349,386,316,822,549,437,338,
214,588,123,809,279,760,395,119,132,108,071,878,046,753,351,843,000,026,027,
791,750,988,152,732,285,518,230,694,523,017,453,687,572,761,290,485,852,191,
108,847,055,060,158,273,845,321,187,734,276,045,233,318,664,161,052,399,110,
891,471,413,631,840,442,570,925,094,596,574,095,488,314,075,721,380,917,267,
662,959,161,320,580,553,255,168,836,820,568,721,632,852,522,758,234,848,631,
078,530,347,470,672,620,642,263,140,571,034,128,430,581,982,090,185,072,421,
811,113,310,618,265,665,236,355,197,802,961,935,237,787,325,414,664,974,059,
176,218,954,926,585,590,144,321,773,438,521,772,804,288,122,544,813,226,841,
071,860,261,672,997,537,566,202,926,084,586,212,730,147,189,789,739,268,355,
457,069,923,699,643,700,376,042,545,337,149,428,481,290,465,307,485,776,016,
089,078,639,736,190,244,564,333,754,813,494,660,244,571,688,973,196,833,239,
983,159,624,465,629,013,954,054,615,810,367,124,279,622,508,011,575,516,081,
336,162,631,413,083,710,970,745,213,378,431,833,671,532,862,526,226,406,632,
154,381,982,268,977,800,390,916,502,695,625,034,325,945,492,914,012,674,012,
095,620,964,304,495,756,262,455,901,564,952,629,422,732,160,292,603,181,438,
193,781,403,277,943,628,491,643,501,627,022,367,541,265,681,587,916,228,907,
318,453,000,394,748,239,824,014,573,011,359,387,008,423,620,180,832,333,416,
130,700,819,360,956,970,092,037,354,046,287,789,281,098,845,448,273,942,127,
811,538,600,614,775,138,680,377,867,673,839,014,810,878,733,463,574,301,682,
268,764,429,494,248,334,886,544,186,296,968,064,067,228,041,699,182,301,323,
169,034,003,362,497,304,953,206,205,625,726,329,699,859,133,405,938,650,168,
560,932,698,373,068,024,009,396,895,989,439,918,133,324,973,610,942,101,795,
150,213,037,042,341,793,128,485,097,579,471,680,740,252,351,882,016,305,595,
736,581,602,489,250,351,371,639,543,318,667,502,336,215,754,919,255,330,406,
975,100,617,693,056,081,366,571,446,253,275,129,490,744,874,979,973,833,624,
897,998,213,068,963,268,804,531,442,026,304,130,342,297,907,581,771,076,115,
846,554,211,604,441,079,821,282,669,392,511,128,326,088,483,500,459,860,924,
642,921,948,643,279,732,604,500,215,195,183,864,998,707,818,775,945,251,985,
684,814,339,841,554,847,828,564,123,305,451,326,706,868,997,918,723,821,452,
450,384,418,299,324,195,465,926,528,289,046,746,768,371,859,650,567,673,515,
102,364,747,347,603,229,190,990,729,194,565,305,003,247,998,658,433,284,759,
048,789,860,138,938,923,013,571,320,172,085,785,464,682,371,265,868,115,896,
909,064,894,005,497,484,666,333,707,523,692,085,040,439,547,650,980,244,694,
460,790,500,366,508,616,528,548,578,915,055,072,904,139,808,257,662,649,216,
424,483,158,635,112,960,866,160,961,047,496,394,902,672,834,931,502,758,610,
354,009,658,866,965,616,552,102,001,085,823,549,547,107,114,645,716,304,633,
679,883,418,321,498,787,439,108,126,493,089,197,822,871,903,150,543,863,481,
854,705,524,015,206,172,709,126,624,133,267,704,573,673,089,443,895,897,889,
884,793,809,048,166,508,062,555,010,535,871,398,008,040,946,369,123,633,583,
077,157,692,902,679,362,138,433,183,740,954,896,730,765,219,203,467,633,686,
007,133,448,482,849,573,558,772,841,220,034,223,798,490,591,027,064,732,266,
965,274,678,595,153,894,435,495,693,647,388,459,940,878,169,208,575,461,985,
491,205,644,815,286,355,639,141,312,280,155,936,477,127,503,940,526,588,194,
493,991,598,370,300,956,309,724,117,257,793,152,747,006,178,127,482,565,592,
197,901,988,009,835,963,409,424,486,601,201,259,360,868,498,365,189,888,053,
708,030,764,898,539,875,819,114,815,581,029,449,998,709,225,416,899,000,882,
875,845,582,347,026,885,683,946,974,022,339,092,635,697,406,202,779,970,160,
005,470,613,328,282,950,919,384,426,023,306,354,921,497,346,666,353,851,123,
572,252,760,173,329,304,753,806,495,116,327,556,949,146,454,139,078,904,540,
200,626,147,646,484,169,647,565,402,369,929,939,970,230,851,147,459,144,844,
302,675,984,372,513,726,194,410,835,711,505,316,847,323,489,522,844,998,875,
520,732,068,401,370,590,729,815,534,390,259,379,836,548,935,141,053,847,511,
468,581,707,620,709,159,455,749,999,066,012,118,356,787,746,784,887,760,917,
456,985,879,052,454,867,250,878,259,187,765,597,504,805,868,662,563,886,054,
508,535,051,347,215,738,420,375,591,302,179,853,942,201,339,627,190,304,362,
588,690,036,358,907,446,101,314,281,276,700,747,554,992,195,639,708,709,604,
857,397,414,276,517,415,048,577,816,204,859,102,574,020,521,561,974,517,501,
052,911,423,095,299,719,114,271,508,274,072,035,126,157,136,001,577,940,373,
726,567,911,736,432,442,098,678,955,688,746,788,266,986,572,880,860,850,918,
632,745,191,076,940,408,444,099,586,955,098,884,271,176,041,663,713,505,369,
349,548,919,527,874,234,150,949,295,292,685,607,798,115,118,921,268,279,974,
697,551,735,173,409,436,729,163,290,244,413,084,786,006,663,003,291,664,645,
881,114,124,946,241,289,879,708,093,221,218,750,424,768,772,631,835,537,509,
604,805,122,680,391,302,482,360,417,518,898,045,256,095,862,600,988,979,024,
731,698,652,569,272,728,448,364,526,184,676,750,332,615,866,930,488,650,054,
400,389,673,018,659,542,997,691,796,766,555,775,868,159,312,348,769,348,330,
679,188,281,973,123,413,000,573,222,083,797,559,262,476,762,792,754,967,301,
289,687,302,922,953,720,653,358,968,290,547,978,792,280,965,458,224,248,098,
448,461,507,843,582,401,598,355,504,350,028,637,316,085,431,526,990,365,514,
791,514,915,624,319,632,829,725,998,484,001,802,845,555,290,492,608,509,260,
954,139,214,977,415,063,417,833,358,243,802,915,648,422,602,544,406,645,002,
729,684,194,873,344,667,158,249,476,197,903,248,592,418,202,495,395,016,666,
600,123,030,263,507,100,928,581,232,212,265,404,043,025,982,976,161,938,314,
457,739,926,524,437,868,075,979,905,305,276,860,893,554,306,770,171,945,567,
406,686,274,851,276,565,988,031,819,663,168,931,808,279,815,552,543,552,320,
171,865,949,027,567,595,869,545,543,986,832,870,803,969,105,248,400,764,174,
283,572,595,892,230,075,730,894,623,773,705,428,555,546,479,905,007,243,842,
709,424,186,479,743,762,089,298,266,550,467,497,858,114,830,792,554,139,641,
310,802,656,741,775,686,669,597,463,078,953,675,968,165,185,654,850,832,900,
148,606,681,366,916,076,391,118,208,647,752,161,262,589,092,414,318,554,351,
328,914,937,997,553,967,776,315,849,687,117,291,599,352,439,730,719,957,555,
606,268,931,829,321,222,665,162,239,749,725,745,970,616,668,227,543,552,610,
718,310,200,091,955,806,448,954,981,280,717,889,117,229,513,046,265,357,987,
377,037,102,347,615,532,987,263,392,689,235,249,175,668,042,375,266,218,341,
512,376,192,448,616,869,232,969,147,846,532,747,818,174,201,362,718,531,075,
028,902,733,841,455,885,691,316,373,732,296,970,004,498,675,144,162,260,166,
890,941,103,967,800,605,955,825,724,979,770,604,021,448,092,652,902,542,749,
242,803,521,687,815,996,831,304,102,783,090,735,352,492,920,243,869,073,697,
086,127,824,587,969,774,030,928,121,319,471,493,282,171,851,844,978,713,781,
748,454,383,510,982,305,711,828,055,500,463,703,406,733,232,606,668,786,206,
958,211,694,559,635,791,541,837,870,520,454,093,126,496,061,313,775,930,239,
899,599,443,076,839,382,255,223,066,918,686,704,143,633,707,020,066,717,669,
537,307,365,653,750,157,607,208,528,415,904,193,709,003,953,195,561,051,954,
882,838,953,047,215,553,235,675,391,324,566,406,487,603,060,499,279,941,898,
576,021,615,276,113,519,488,203,223,935,009,360,873,684,271,770,534,736,633,
285,354,858,215,913,797,798,149,856,539,938,774,991,548,756,554,374,949,031,
216,217,346,053,340,107,747,542,132,922,372,596,557,200,253,953,724,188,518,
302,226,562,069,612,485,266,832,240,995,042,546,247,319,020,046,744,733,031,
458,372,145,590,139,060,081,988,889,691,712,036,319,404,134,829,262,956,694,
185,866,037,325,687,426,608,886,070,466,544,923,025,036,763,143,922,333,235,
836,036,306,105,530,301,772,509,138,544,658,173,663,172,145,409,465,421,278,
369,666,138,501,081,533,240,033,505,446,049,222,529,704,288,145,943,087,810,
743,199,364,684,372,982,243,302,795,564,762,563,816,763,359,522,526,023,813,
873,674,657,085,341,588,875,443,939,435,960,442,160,976,862,720,111,021,225,
091,008,998,420,455,426,584,701,432,753,105,904,219,136,476,511,869,775,511,
363,684,113,291,825,418,235,810,075,928,166,166,093,786,922,182,165,063,339,
046,154,410,323,583,585,243,321,954,117,576,114,482,372,118,982,898,586,602,
192,994,487,615,568,343,985,428,256,917,795,525,540,139,794,172,702,922,585,
517,753,588,989,875,348,729,826,308,911,769,308,107,096,148,925,414,533,928,
764,835,706,621,600,182,999,166,682,724,726,837,664,426,556,289,263,935,096,
071,143,737,165,189,863,124,552,961,268,133,945,196,718,219,926,929,472,748,
692,795,885,186,073,127,835,274,005,817,396,650,390,589,781,504,196,804,768,
630,832,265,110,861,805,032,770,809,518,426,108,741,976,794,003,160,977,135,
957,891,153,768,743,551,595,227,331,395,980,022,244,574,309,420,074,806,194,
171,115,230,706,013,641,448,797,189,476,856,866,543,596,346,724,471,215,532,
143,106,223,022,056,875,330,373,704,589,460,391,370,960,697,573,688,786,234,
852,868,714,420,964,510,419,702,196,748,615,846,734,642,660,658,079,793,569,
348,637,756,304,438,813,095,209,459,003,947,263,670,073,402,850,522,181,213,
029,321,521,460,302,414,891,320,356,354,216,615,918,822,117,495,269,303,397,
531,527,221,488,571,448,149,606,338,831,973,503,792,808,292,254,759,383,984,
014,659,340,242,675,090,881,778,109,742,403,495,453,422,309,926,240,902,230,
411,013,950,319,840,963,108,719,771,115,421,143,967,590,129,026,368,944,761,
766,050,524,309,070,046,991,819,211,758,462,891,814,508,086,169,181,449,444,
234,503,090,837,610,665,199,779,853,670,731,502,721,386,569,099,144,224,345,
696,902,977,497,071,981,172,014,402,156,906,857,108,773,148,020,132,039,299,
637,840,903,282,884,870,275,753,405,455,495,217,254,246,079,518,160,356,769,
617,814,724,825,378,438,625,136,595,426,767,556,692,375,631,943,426,871,852,
476,661,314,033,255,698,490,910,821,385,448,544,364,729,158,986,894,071,030,
940,738,055,533,944,002,643,993,453,458,958,605,051,770,746,826,342,987,961,
019,092,358,967,376,528,856,311,249,943,012,638,741,691,758,688,103,321,750,
912,469,250,218,275,296,424,829,451,277,171,139,719,525,248,685,036,594,571,
929,979,126,318,312,702,703,177,153,961,279,778,448,408,494,872,903,096,090,
868,997,635,407,471,760,953,737,636,788,475,630,888,865,942,195,209,000,265,
497,891,399,169,510,758,491,558,967,447,001,726,763,195,276,066,776,919,390,
494,259,626,208,170,578,229,929,536,960,452,067,922,689,328,524,831,235,515,
128,641,199,054,877,564,500,256,361,114,016,813,888,116,002,545,537,936,161,
416,506,790,200,060,996,679,082,249,790,613,074,755,399,838,998,872,749,531,
793,635,850,328,562,981,936,222,432,294,598,471,794,629,114,168,101,872,008,
212,911,977,920,413,083,425,024,990,233,427,255,228,226,065,328,814,792,368,
374,146,248,381,917,605,010,037,215,380,125,068,423,595,739,505,604,713,458,
739,486,017,243,047,354,285,343,605,305,324,371,960,723,678,397,711,721,357,
681,941,193,420,669,537,264,247,708,373,846,847,911,866,285,374,749,828,024,
987,668,957,244,909,342,739,605,331,420,490,846,863,754,463,840,291,478,471,
548,467,578,890,456,395,090,861,182,636,814,152,822,155,701,723,412,686,480,
520,469,638,517,409,361,526,382,497,340,338,621,363,572,833,982,591,437,525,
303,072,143,575,296,325,623,833,637,894,252,572,701,569,167,995,937,789,552,
338,926,069,333,208,765,450,086,751,157,650,457,197,411,596,300,709,224,018,
126,927,075,719,737,276,625,814,979,354,465,045,018,056,340,000,512,370,184,
389,154,835,435,108,694,536,132,926,188,160,045,048,574,223,891,795,715,971,
989,352,833,614,558,738,040,963,690,021,364,620,139,446,284,886,630,063,662,
903,507,389,854,099,241,394,278,326,808,332,346,234,576,260,892,809,856,344,
674,201,593,102,953,636,832,033,058,452,267,966,875,898,130,736,689,917,836,
364,710,468,506,236,135,167,605,169,821,766,646,289,730,286,221,957,269,506,
721,777,065,032,763,552,694,822,394,528,955,929,580,500,182,368,808,892,490,
221,197,138,442,708,069,688,062,453,244,105,118,883,562,420,756,752,147,875,
554,541,438,247,150,828,388,018,921,726,889,636,178,641,032,972,155,883,722,
759,772,630,459,810,509,934,811,872,217,281,897,137,214,278,151,993,157,113,
723,938,246,254,357,914,010,431,727,397,333,230,210,841,033,379,823,073,339,
371,824,297,150,430,222,299,118,960,348,740,967,933,582,915,527,042,853,896,
928,466,912,824,981,245,685,217,477,657,068,848,117,549,979,380,903,330,570,
594,218,065,284,215,219,259,738,004,841,653,860,924,111,287,299,840,339,671,
999,006,692,307,925,185,949,808,705,373,662,981,811,739,300,944,692,697,915,
792,279,884,544,308,489,155,352,934,687,429,331,803,441,650,620,561,626,254,
085,156,777,333,105,805,730,948,880,097,807,047,893,733,043,713,700,707,733,
167,484,163,374,406,344,336,780,906,314,002,345,149,921,457,211,681,145,304,
316,939,878,421,471,767,815,963,998,617,236,779,436,024,430,895,441,395,304,
737,679,970,287,557,810,732,433,318,161,807,393,210,839,803,421,249,039,447,
256,671,493,304,230,767,914,772,061,705,900,193,778,905,365,349,884,412,527,
358,683,339,665,988,237,968,999,445,057,625,116,217,542,776,075,742,603,355,
324,042,490,237,884,086,339,361,581,852,757,144,479,788,205,520,786,477,040,
034,389,409,312,878,577,034,324,612,871,926,117,708,205,341,870,302,663,698,
813,208,109,523,473,488,397,191,417,966,946,345,399,332,200,812,813,949,867,
645,708,086,278,601,555,931,152,808,606,571,187,247,616,220,186,252,266,515,
022,726,977,054,752,172,831,750,815,326,043,428,995,385,997,767,612,823,588,
822,377,145,247,495,118,070,135,683,671,344,418,963,417,425,320,992,700,467,
248,322,120,852,716,363,822,195,665,329,328,683,046,693,303,905,650,889,051,
866,524,867,575,404,131,942,621,400,681,708,687,020,529,805,108,666,950,445,
240,794,896,812,719,908,550,926,574,790,807,277,111,584,242,658,809,116,564,
739,508,442,909,361,376,704,640,922,800,245,425,868,021,096,572,311,531,185,
275,322,085,298,653,108,392,131,841,759,708,638,920,193,607,693,927,838,980,
684,795,203,377,032,365,288,259,156,150,507,076,686,905,894,479,131,665,407,
463,906,059,761,607,930,460,921,277,258,482,375,790,549,282,923,592,873,423,
002,846,480,375,716,793,919,822,445,119,117,329,507,768,059,160,193,590,718,
143,076,036,543,225,472,208,383,497,895,067,292,945,318,528,711,050,991,671,
091,744,030,725,600,592,562,183,980,978,389,717,629,544,424,201,123,927,631,
241,985,049,141,703,297,199,948,814,275,436,305,619,375,578,520,170,424,194,
354,605,642,841,637,283,116,619,183,892,462,839,939,219,350,037,805,298,996,
531,309,927,642,857,970,007,590,812,958,874,435,238,825,581,787,931,126,327,
612,511,553,670,964,484,976,180,664,816,121,977,600,090,495,656,222,442,846,
671,647,359,620,625,366,607,250,513,197,221,494,222,416,471,636,866,929,716,
402,126,512,249,739,812,104,017,881,052,048,047,689,532,702,413,512,726,564,
934,748,086,140,797,886,602,067,769,001,954,545,338,942,280,567,351,607,730,
639,377,269,397,148,136,713,770,213,326,626,464,114,476,176,009,968,837,803,
831,903,180,686,418,979,710,885,985,212,136,143,223,529,745,578,695,085,905,
079,381,812,636,143,788,230,474,360,115,418,254,861,156,961,025,397,265,143,
181,713,299,675,165,312,257,475,007,298,558,376,051,010,211,466,649,761,212,
416,385,384,832,124,085,787,283,942,228,207,036,712,609,945,706,340,462,098,
388,175,568,467,417,997,053,253,797,412,755,389,308,451,831,384,853,136,993,
925,134,191,172,350,537,089,391,674,802,178,073,190,458,450,254,541,207,106,
152,535,231,130,536,815,140,922,212,635,452,634,706,997,417,025,194,360,574,
534,745,951,254,283,538,512,478,071,166,097,443,200,811,276,547,040,071,235,
576,607,737,235,133,888,163,105,834,421,828,175,269,020,588,457,440,716,971,
030,690,368,183,527,901,999,369,282,384,589,455,431,074,219,120,545,672,125,
735,845,384,418,705,100,598,096,773,984,522,936,497,267,521,129,783,946,209,
869,312,150,651,611,910,523,956,447,026,699,925,014,401,879,347,999,879,579,
212,992,556,744,891,574,451,690,074,321,829,108,316,856,516,716,190,065,953,
526,214,815,988,442,989,327,516,698,303,911,363,665,786,569,502,823,844,209,
062,352,321,551,499,463,724,439,061,082,672,306,727,536,380,712,444,733,827,
337,890,886,607,222,337,915,020,590,178,113,213,399,533,981,967,491,929,432,
630,891,245,105,149,073,678,021,548,428,391,231,314,493,078,651,124,155,539,
850,754,899,418,979,214,221,222,338,865,685,673,960,631,388,981,345,586,084,
269,790,857,451,028,820,080,933,376,202,146,071,220,798,644,148,774,177,301,
677,172,947,892,206,571,979,554,938,717,353,797,113,365,975,093,551,551,636,
966,222,863,988,225,675,669,289,963,230,234,077,601,329,216,501,811,559,994,
049,304,343,037,844,308,311,587,820,472,778,044,799,580,740,200,301,411,531,
322,313,756,486,814,614,667,460,709,838,082,438,915,307,291,399,228,222,571,
488,489,980,386,471,241,728,469,613,456,541,881,289,102,857,067,387,726,048,
511,490,101,369,467,572,161,970,629,556,431,026,643,737,172,968,070,699,319,
790,402,410,791,013,352,256,309,285,712,048,172,206,172,269,796,864,326,940,
115,872,408,712,335,692,957,630,968,011,145,281,786,208,147,647,108,272,071,
343,220,892,728,566,472,553,784,616,859,293,146,490,403,072,595,339,215,955,
386,621,871,802,201,738,159,897,700,425,388,798,785,533,457,945,010,969,191,
809,321,913,470,459,186,370,128,473,408,895,614,142,595,866,808,304,722,299,
749,720,111,407,750,654,601,267,481,954,693,800,442,839,462,337,829,465,908,
996,381,332,404,288,610,227,034,474,639,804,662,262,210,763,882,264,858,321,
273,976,841,025,987,567,195,984,612,845,176,895,151,091,004,657,368,565,306,
892,019,545,787,360,200,650,738,615,096,118,737,809,298,916,868,346,380,492,
922,993,351,844,711,086,360,980,856,462,894,769,325,300,955,966,149,342,569,
537,754,917,835,223,643,658,267,122,351,152,003,212,819,152,264,838,422,896,
612,097,049,263,779,722,137,898,435,601,195,726,981,721,110,441,648,465,753,
609,066,473,418,147,666,462,689,393,466,442,529,231,790,969,181,239,332,961,
352,759,106,777,935,551,542,209,771,135,511,768,652,697,141,647,187,815,280,
880,300,563,127,298,913,378,361,254,314,088,059,913,461,898,242,356,427,637,
595,905,887,578,158,404,530,156,564,194,462,556,992,928,622,623,923,822,576,
888,985,141,836,519,526,517,112,315,088,213,576,459,523,698,108,333,660,233,
339,629,888,322,844,581,595,688,717,810,836,966,903,484,620,005,193,724,018,
296,980,845,966,866,779,108,050,246,951,538,024,254,130,504,567,236,231,501,
867,670,756,131,170,265,077,921,851,830,357,346,688,699,430,640,110,276,659,
053,854,155,762,145,345,167,575,063,984,525,802,221,943,139,011,784,358,599,
867,407,529,220,005,190,455,789,367,977,366,617,796,863,422,182,850,353,153,
419,537,506,889,911,095,783,294,218,753,493,364,098,767,097,398,248,067,586,
103,897,454,714,579,385,240,751,941,775,440,748,103,322,222,577,206,882,365,
256,171,792,253,115,401,004,027,214,715,165,514,889,063,802,112,778,974,270,
748,267,767,750,720,547,161,490,990,020,669,211,908,630,104,131,555,374,312,
311,822,189,194,594,513,378,215,812,071,323,100,294,509,789,846,087,801,072,
823,401,422,552,068,294,398,356,613,614,446,084,986,286,949,065,928,897,321,
641,903,668,016,428,015,205,830,721,539,764,575,653,458,614,818,499,353,058,
437,789,823,927,889,457,351,687,712,362,075,186,909,507,612,853,150,964,652,
927,260,440,701,946,552,635,458,985,230,883,948,392,960,574,765,588,803,273,
386,788,056,802,444,955,261,330,916,164,648,544,040,740,439,369,350,398,912,
074,148,146,568,010,974,634,941,482,187,245,489,125,448,306,345,475,356,863,
277,001,467,649,851,342,977,511,521,420,538,365,140,020,364,474,822,546,289,
538,255,279,498,990,769,480,899,790,679,616,768,039,186,369,075,705,266,928,
237,959,539,822,839,657,091,872,612,603,835,300,849,679,228,886,193,077,464,
595,514,758,556,119,788,789,981,078,531,202,491,131,537,224,217,940,775,011,
355,045,171,989,456,074,877,489,512,923,584,992,158,058,128,774,573,327,055,
328,270,352,541,307,929,250,807,851,158,730,188,354,870,896,331,238,131,045,
945,030,921,402,470,050,871,204,347,208,530,392,413,650,698,756,137,676,114,
378,728,961,561,611,337,887,412,295,804,908,172,845,710,419,426,436,620,364,
430,898,659,585,578,372,682,607,321,301,180,278,566,853,298,570,654,304,659,
140,494,846,791,899,849,672,012,815,590,897,379,796,582,221,753,178,140,166,
990,390,573,512,019,344,698,786,590,991,512,833,703,617,609,919,082,045,141,
209,737,627,610,241,915,308,709,028,914,608,576,981,172,734,536,140,295,605,
005,094,926,252,078,905,008,191,484,425,932,567,841,227,402,696,134,303,164,
108,014,846,043,384,980,755,928,233,964,293,939,669,767,495,328,594,112,820,
305,838,312,572,347,760,520,243,389,648,441,174,893,180,556,565,261,002,172,
626,679,186,090,769,435,752,686,645,110,698,608,875,420,532,256,117,622,516,
891,926,552,186,565,447,928,052,549,492,693,389,696,699,467,169,717,163,655,
667,287,080,561,949,200,119,778,780,223,700,498,251,960,071,199,593,067,635,
871,829,275,271,502,689,787,647,856,249,418,558,416,315,589,734,735,653,245,
502,182,860,068,025,242,661,363,073,076,611,853,302,447,998,066,951,581,269,
789,092,232,454,103,186,469,899,005,864,604,975,967,241,385,036,673,051,857,
180,417,809,227,350,428,606,330,988,661,553,112,535,442,423,387,705,188,734,
792,492,460,221,222,451,530,997,871,754,228,318,546,337,038,315,314,854,828,
305,849,584,168,231,059,633,702,297,002,648,076,670,140,038,757,201,050,447,
289,539,644,284,297,206,590,809,213,268,538,098,527,171,865,885,529,692,492,
205,192,153,920,040,392,790,728,359,236,042,685,540,870,332,917,592,451,612,
572,758,909,024,410,214,548,241,751,948,901,790,240,437,457,123,172,422,234,
376,046,144,836,699,688,063,184,489,611,772,100,546,523,581,331,722,955,750,
216,745,473,402,329,519,665,636,497,133,122,776,243,456,099,707,499,397,578,
363,616,540,064,643,446,505,728,604,637,996,519,079,761,992,799,269,649,510,
202,649,169,412,987,879,997,003,792,390,406,787,902,709,823,132,564,864,280,
797,347,182,790,657,898,712,497,870,243,392,118,402,003,254,800,724,103,827,
722,919,428,875,621,761,194,810,523,917,404,530,709,986,260,553,111,885,710,
829,454,140,743,578,029,452,936,942,025,643,927,611,630,811,636,596,769,840,
434,451,736,360,032,717,827,554,093,976,382,992,576,659,244,776,810,384,178,
108,355,988,779,648,231,012,150,226,081,687,085,119,301,309,951,746,427,419,
091,273,426,944,713,998,206,743,850,723,613,287,852,969,928,111,668,664,321,
798,666,266,870,020,543,758,652,071,529,675,780,130,217,319,126,614,319,537,
812,984,619,353,300,448,816,101,563,976,246,290,043,966,542,475,083,580,564,
924,782,599,350,664,127,912,399,876,392,762,093,030,598,032,556,680,938,554,
446,253,597,734,671,515,121,445,097,671,546,007,809,856,894,453,009,893,005,
303,753,487,049,801,922,507,212,333,609,175,357,092,949,569,182,317,099,393,
155,312,191,360,393,560,219,825,689,977,081,202,400,005,921,835,518,520,167,
244,096,411,280,895,511,860,203,260,292,999,071,986,824,135,198,728,607,039,
045,830,984,110,149,015,437,930,713,843,505,940,939,041,240,235,319,355,037,
316,125,601,990,541,792,868,549,021,883,377,592,492,072,012,565,317,168,042,
648,632,879,573,929,346,576,478,250,930,390,566,685,448,220,936,018,028,468,
922,551,311,655,299,714,423,844,226,044,410,391,653,122,118,105,187,751,089,
066,040,935,149,952,080,111,246,475,273,401,738,827,542,895,076,991,650,802,
979,355,773,864,993,681,352,403,937,810,498,724,421,639,159,265,707,814,584,
109,410,229,203,687,157,058,758,937,922,319,829,448,231,971,618,317,346,587,
956,730,116,479,829,144,779,730,439,202,153,796,671,999,099,324,548,612,943,
519,426,892,256,569,421,856,286,085,375,759,529,348,539,016,600,837,235,206,
002,937,975,033,203,791,961,352,682,985,413,200,460,982,060,946,417,806,644,
934,791,429,038,392,328,760,836,925,470,223,304,902,729,863,739,495,817,324,
951,010,643,199,534,922,055,630,197,356,095,410,158,052,981,480,579,127,329,
195,843,722,407,482,137,777,854,000,559,601,150,574,002,723,298,725,878,543,
104,819,589,926,130,197,340,348,388,762,300,052,572,870,305,118,216,728,235,
216,853,040,682,709,928,127,991,580,534,935,410,734,136,139,281,100,604,713,
545,893,180,867,363,380,767,541,803,887,184,421,558,039,291,471,142,707,785,
414,480,668,471,773,873,950,681,731,978,425,181,428,664,058,023,350,975,866,
424,838,907,334,323,960,260,755,706,121,531,183,025,373,995,629,088,308,377,
801,439,996,806,503,583,764,804,732,250,722,200,904,185,168,895,413,849,888,
278,656,933,561,675,698,293,843,965,644,083,792,428,126,549,010,162,934,003,
545,569,899,113,711,346,290,672,895,150,869,242,509,488,344,516,630,511,892,
376,061,653,374,992,790,484,244,912,804,153,512,177,114,777,543,056,181,330,
813,490,918,374,829,572,414,269,233,130,690,937,599,649,461,302,842,030,151,
719,175,394,402,467,257,908,830,297,734,675,497,105,281,915,843,371,988,101,
379,730,385,619,539,422,335,097,042,700,134,010,979,747,587,744,931,390,718,
063,342,727,974,065,233,304,585,668,610,383,502,517,802,397,077,530,973,101,
448,794,000,754,787,332,300,330,844,688,199,384,053,525,993,104,827,096,010,
378,470,281,481,138,129,661,917,563,050,404,868,743,797,371,930,610,383,727,
028,498,612,174,889,801,392,803,761,894,696,748,780,179,603,036,454,963,665,
372,535,383,086,867,359,040,810,681,537,635,618,976,228,446,844,045,548,912,
108,938,213,974,038,908,132,418,901,836,101,380,205,886,190,400,284,016,477,
242,259,370,836,351,324,112,972,067,320,872,609,073,302,727,708,627,085,166,
332,667,789,973,936,947,225,646,952,037,587,026,872,745,197,228,029,059,242,
482,047,715,866,895,037,104,828,790,622,227,730,923,415,898,534,223,995,307,
483,899,030,302,754,307,389,707,042,707,449,747,023,773,466,746,653,943,480,
943,121,374,242,910,456,422,022,696,886,720,941,172,373,194,694,290,831,005,
457,095,925,839,753,169,557,993,394,593,948,300,470,923,257,036,962,457,562,
155,733,509,065,032,681,556,201,138,282,880,767,094,236,538,012,250,828,106,
842,390,337,406,068,222,447,568,798,754,566,598,260,102,361,909,556,557,490,
429,470,887,747,516,803,277,954,433,121,504,150,569,098,947,712,780,882,723,
127,870,421,719,410,876,052,937,576,994,999,419,235,548,954,621,189,261,184,
892,579,697,390,054,878,044,391,649,928,882,864,860,311,333,962,698,204,802,
927,863,821,251,678,909,617,863,134,184,848,392,938,720,886,078,040,942,624,
027,025,182,413,346,290,331,522,358,242,790,480,847,660,209,349,820,553,805,
477,376,224,156,765,040,731,594,769,552,914,993,260,641,276,107,527,990,427,
729,390,100,848,435,455,809,105,778,151,251,806,991,353,362,215,014,515,032,
453,175,385,639,101,419,329,649,768,178,209,179,514,816,388,567,207,331,698,
910,272,851,807,278,028,235,469,701,547,994,603,170,575,975,149,239,600,880,
928,281,385,393,660,722,778,626,163,679,812,379,468,453,025,635,344,747,241,
083,393,904,575,639,187,884,564,367,653,983,597,356,623,674,209,841,832,556,
480,733,791,107,433,793,625,477,771,635,554,194,395,891,659,669,376,492,225,
249,803,198,031,416,587,343,187,393,814,570,052,187,374,852,793,479,934,443,
480,606,700,620,251,007,874,608,581,967,671,799,398,955,923,799,832,624,792,
275,769,392,962,428,380,455,558,026,483,843,424,001,572,853,472,523,405,283,
530,618,534,500,304,575,161,465,498,072,340,732,016,580,641,617,501,183,145,
265,827,118,176,401,049,080,914,403,477,458,020,410,224,339,389,177,280,836,
716,550,355,689,624,893,487,625,378,246,446,331,225,085,663,438,364,256,631,
383,382,501,158,081,186,681,280,186,885,451,107,581,849,350,336,101,829,006,
863,174,407,648,238,613,849,077,026,407,019,463,372,299,284,012,457,144,709,
234,808,719,005,926,641,142,120,909,996,344,344,884,895,062,560,530,056,494,
040,609,776,969,371,632,030,851,250,801,766,366,620,578,337,065,863,321,620,
984,752,565,061,861,134,198,457,385,351,495,181,603,560,370,325,485,138,460,
175,784,114,382,851,129,669,097,935,297,915,097,258,445,487,542,978,447,743,
742,080,880,943,172,153,776,780,256,173,168,295,761,270,648,025,867,703,106,
829,663,940,664,654,655,920,147,062,674,775,684,456,752,024,526,455,934,933,
500,400,180,491,021,537,857,565,852,931,549,172,710,626,612,963,216,167,232,
755,286,523,258,589,302,925,900,516,754,746,745,768,129,340,485,725,093,848,
666,525,890,654,007,278,787,732,735,068,493,823,467,792,830,495,548,995,038,
055,076,452,060,875,588,140,205,847,314,494,328,576,420,198,487,189,025,027,
504,937,558,826,089,310,198,407,551,523,582,039,794,183,989,304,104,036,886,
391,893,573,673,581,361,901,272,998,336,275,032,013,472,902,584,970,252,188,
977,778,490,688,733,041,740,902,397,868,090,727,100,739,287,114,566,048,482,
478,547,647,470,132,759,592,942,989,836,356,090,699,164,788,944,943,050,764,
403,572,840,120,636,137,343,745,101,561,707,786,791,544,834,382,136,426,867,
480,684,256,544,698,986,232,944,617,307,453,581,950,787,878,673,116,381,015,
578,448,362,738,897,612,884,719,551,780,101,643,425,597,893,137,043,210,134,
886,849,941,591,652,380,377,300,155,530,325,866,234,756,328,443,117,645,787,
851,507,103,612,097,572,954,430,744,977,175,991,182,493,501,528,703,888,403,
649,631,823,966,598,630,903,578,090,764,098,516,381,526,954,748,904,879,828,
214,646,720,156,569,222,952,448,590,499,946,707,548,616,668,338,107,760,922,
231,616,389,423,569,431,209,759,761,310,322,966,923,969,375,240,937,753,163,
957,752,922,806,443,038,308,557,778,981,830,405,940,080,301,251,321,268,658,
599,187,514,245,469,577,940,389,019,628,379,778,968,016,631,092,072,062,269,
213,985,928,078,882,897,925,915,800,846,599,999,631,294,975,514,354,048,636,
284,737,043,816,204,583,603,635,270,462,134,689,824,850,768,559,414,826,816,
316,212,211,877,758,890,293,577,733,299,169,161,261,912,358,191,782,467,035,
442,061,390,031,822,749,913,786,852,953,909,184,440,816,282,268,737,617,628,
655,738,427,993,914,556,474,652,030,658,005,566,326,640,619,012,619,182,074,
448,115,905,036,306,567,983,827,194,832,583,032,959,305,746,104,924,031,263,
187,351,436,961,846,653,070,033,412,189,992,532,234,993,851,528,018,666,276,
592,631,455,589,778,577,812,534,851,026,457,888,203,289,941,136,416,021,163,
665,149,499,146,131,422,357,148,839,119,713,899,509,611,993,082,825,565,146,
214,789,242,412,393,249,621,748,671,400,506,254,716,472,517,452,422,138,429,
426,859,431,020,328,246,195,037,889,838,051,936,696,101,275,069,436,070,769,
193,164,116,858,987,727,519,721,619,067,779,043,694,600,902,439,605,783,976,
196,289,922,355,925,469,985,803,882,465,789,226,086,161,693,699,357,911,045,
562,620,413,025,974,439,324,340,291,845,406,610,017,067,010,401,605,188,698,
270,733,865,778,718,088,599,202,468,087,701,459,653,188,835,582,696,487,990,
324,199,200,353,749,678,969,588,875,329,578,860,964,463,629,060,199,091,242,
916,336,606,552,999,409,070,644,590,500,753,865,645,332,270,843,077,694,967,
093,594,923,187,127,621,367,148,139,294,210,317,659,751,622,797,554,659,861,
938,070,579,627,705,757,423,794,236,841,558,833,020,477,689,290,977,388,760,
721,912,870,727,835,536,506,209,651,287,908,834,041,856,046,740,100,634,153,
802,157,489,030,469,657,588,563,445,104,686,999,189,089,670,071,131,935,466,
687,876,821,267,215,243,259,050,663,468,745,980,137,800,001,402,180,237,351,
773,569,117,076,343,702,357,669,452,755,722,837,543,755,255,543,940,657,829,
196,374,103,398,496,621,999,544,133,580,433,337,188,861,195,527,452,486,529,
224,349,761,387,863,600,606,961,746,236,436,200,270,266,235,251,166,558,216,
905,143,095,227,555,597,937,140,759,014,266,151,989,369,328,136,433,891,144,
115,499,565,445,033,560,807,174,578,562,034,417,448,328,931,564,530,503,516,
442,601,728,674,588,099,167,623,355,393,548,111,110,446,038,235,482,311,800,
459,084,516,248,804,378,182,830,455,332,216,440,693,781,048,052,060,566,873,
090,240,764,154,049,659,854,975,174,355,650,078,613,728,728,391,870,002,513,
377,400,109,131,023,333,571,654,683,643,055,922,727,825,739,453,907,272,507,
286,131,000,955,423,680,516,767,996,953,005,164,883,165,866,478,007,986,501,
653,095,059,552,969,979,701,866,164,016,216,027,491,228,958,966,923,947,442,
419,626,989,371,949,937,004,036,819,944,910,364,352,776,689,523,883,617,158,
856,530,268,370,754,967,755,659,819,069,544,404,843,153,314,289,584,370,686,
070,538,485,523,526,924,520,468,464,252,743,076,296,315,404,210,753,769,837,
018,076,326,560,437,496,912,181,962,887,402,054,505,491,280,410,209,972,415,
722,099,575,759,720,105,365,155,627,258,734,343,172,845,174,497,602,463,191,
459,262,188,099,783,391,011,734,541,682,969,438,675,773,045,738,614,660,323,
665,278,582,218,553,957,550,901,907,603,566,826,216,749,002,494,535,039,493,
749,721,387,979,567,949,913,427,662,671,611,919,099,452,318,224,355,693,659,
703,718,306,221,313,195,617,778,970,160,027,042,399,248,426,051,760,033,181,
759,228,821,928,276,102,853,296,305,372,487,520,588,115,712,903,460,979,730,
938,265,080,021,458,315,531,003,620,793,980,936,360,594,859,161,117,179,118,
585,943,698,235,758,442,047,836,742,043,671,626,889,658,332,076,147,559,967,
510,471,676,809,727,978,250,253,496,387,754,340,254,023,058,006,290,803,724,
320,666,407,684,066,284,521,194,276,612,069,852,713,762,604,342,989,587,026,
614,779,757,149,032,290,184,815,113,911,934,928,948,993,331,702,940,587,574,
733,374,195,377,390,187,605,655,137,541,946,651,148,753,554,249,276,882,560,
836,088,354,025,208,445,840,691,461,874,181,080,876,590,065,795,772,821,394,
762,145,408,431,222,499,948,852,592,556,702,088,845,002,296,222,503,462,237,
450,873,870,833,684,413,884,718,013,723,935,433,207,688,157,683,942,635,447,
217,109,966,852,019,016,937,999,474,557,157,707,756,848,475,630,579,949,478,
146,181,501,671,502,961,672,454,135,727,272,115,929,566,249,188,869,675,375,
179,575,596,959,185,159,830,174,291,225,118,995,633,460,030,451,935,471,930,
226,661,035,699,805,813,546,929,737,978,703,643,815,179,946,681,471,152,497,
289,486,627,572,196,798,944,052,128,032,530,843,289,483,380,667,351,076,643,
263,289,371,642,892,148,252,394,724,236,304,766,447,783,506,812,075,656,327,
871,722,943,564,018,415,244,683,758,503,576,295,083,222,070,837,892,161,737,
038,869,751,753,261,994,952,644,169,347,764,117,506,210,645,279,379,656,519,
715,432,913,947,179,768,821,668,114,787,093,329,928,581,121,121,651,417,207,
725,396,516,307,634,351,868,230,319,762,475,371,123,501,524,024,761,356,106,
571,097,574,915,180,379,778,129,570,592,005,186,047,043,191,609,082,763,323,
846,271,587,614,111,157,074,494,130,105,168,334,997,902,335,517,215,506,434,
147,271,473,394,799,830,388,718,334,553,512,911,858,942,793,909,737,883,232,
752,364,673,333,043,115,334,716,493,136,713,380,451,285,430,214,089,763,990,
800,156,900,661,339,536,069,165,337,617,662,613,313,894,774,827,315,866,779,
339,510,159,315,036,859,479,677,429,923,287,012,096,411,966,044,667,852,367,
915,894,218,902,579,260,899,065,290,999,977,172,258,852,029,973,279,913,128,
785,620,092,613,310,587,408,474,645,441,429,998,123,837,592,278,841,591,874,
008,963,952,933,799,415,255,084,479,447,256,342,460,031,381,661,495,766,216,
625,548,007,791,911,975,945,090,602,636,896,085,970,045,417,380,808,738,118,
701,553,309,281,326,481,297,415,553,991,959,153,193,691,295,948,874,396,788,
596,418,447,939,951,692,336,443,305,060,903,602,813,748,296,709,532,403,184,
957,760,410,888,723,961,664,687,224,316,923,398,341,468,181,828,679,475,221,
884,771,203,257,913,033,529,190,570,471,568,968,466,241,899,341,515,330,326,
658,989,383,127,352,145,944,702,671,924,477,289,772,684,672,421,843,176,627,
003,464,773,272,265,233,592,964,304,207,397,214,370,992,763,441,694,020,254,
183,140,725,096,771,913,333,478,954,641,290,525,412,643,798,302,223,654,137,
435,953,751,036,462,259,455,540,126,696,055,381,681,501,532,342,678,148,751,
647,072,196,567,720,510,179,830,900,028,235,254,654,829,268,985,031,842,756,
866,139,922,946,934,298,244,045,624,218,727,289,971,022,959,024,544,393,805,
871,974,601,181,133,376,864,440,334,080,552,293,827,987,922,575,353,685,132,
894,728,800,326,873,482,259,319,911,354,829,477,621,048,426,984,177,341,030,
811,429,182,259,919,997,092,338,803,137,694,012,379,189,612,969,867,699,612,
675,155,147,731,158,822,579,379,220,897,985,940,957,044,629,402,437,367,393,
120,867,912,187,351,766,636,626,448,722,560,332,995,373,635,956,853,965,152,
398,581,028,460,760,244,971,903,927,289,171,634,592,991,965,923,200,637,524,
325,907,355,495,178,743,014,892,718,261,806,548,058,723,219,817,150,990,766,
699,846,090,955,761,522,007,361,073,776,478,857,044,455,402,737,700,384,398,
287,653,768,639,030,656,286,818,045,875,014,468,371,872,306,604,476,241,543,
203,634,441,891,599,119,439,104,395,134,529,454,021,900,102,069,866,100,383,
578,777,323,539,886,733,738,405,683,208,727,259,959,545,570,668,450,026,132,
320,093,465,000,400,205,586,072,234,207,022,643,211,218,593,820,909,292,597,
463,588,668,753,717,792,043,684,271,469,026,325,023,828,410,876,500,759,882,
316,585,835,544,442,909,545,591,948,338,916,214,184,136,634,806,158,082,438,
537,199,212,121,921,397,372,223,583,832,757,023,026,580,892,818,582,801,228,
044,128,331,662,640,020,982,909,916,618,597,458,123,193,548,192,875,224,971,
257,537,214,040,218,680,201,074,053,210,519,445,963,066,591,262,480,138,515,
565,274,162,676,069,868,733,479,718,626,754,324,940,843,227,410,999,761,596,
788,999,174,446,249,472,099,600,254,652,151,593,171,154,703,818,028,508,589,
860,631,626,014,711,661,395,821,587,718,092,770,706,637,188,894,435,456,494,
524,818,854,969,551,566,881,301,721,825,355,273,126,871,240,388,511,983,134,
768,349,403,374,431,616,514,658,430,617,104,952,938,810,687,856,464,001,524,
019,511,582,586,840,468,477,873,121,443,752,714,836,358,500,140,788,129,892,
939,021,517,396,895,570,559,363,734,683,356,505,738,050,136,257,045,292,102,
253,559,032,767,825,437,333,937,722,827,925,526,716,722,334,354,407,791,968,
586,831,561,103,451,795,175,628,581,387,320,012,650,130,116,225,206,487,133,
557,969,537,767,869,235,327,000,630,238,213,319,347,179,037,142,334,256,543,
585,296,203,102,111,711,036,938,102,708,087,251,246,277,066,942,044,993,604,
049,634,613,438,613,309,504,240,194,250,569,362,139,530,055,123,029,809,811,
094,993,596,840,555,586,826,595,071,661,872,259,467,089,130,993,571,201,597,
249,895,925,373,003,969,937,800,603,175,424,448,718,896,129,283,462,905,591,
370,883,933,565,507,076,070,576,100,411,008,245,326,005,075,355,273,994,875,
214,313,793,576,259,100,688,827,543,475,874,145,112,838,491,171,996,142,538,
053,746,064,567,470,226,731,262,772,145,834,100,650,102,125,340,765,861,321,
720,111,874,215,966,345,130,628,249,556,253,068,933,043,380,726,338,231,102,
487,874,762,963,727,801,362,654,198,644,250,482,089,039,618,291,352,185,374,
411,368,843,990,449,011,216,204,571,936,739,847,502,586,926,306,460,095,236,
372,596,661,077,451,814,661,717,234,227,666,437,982,565,550,433,437,084,751,
806,246,290,087,909,172,253,654,568,131,031,523,284,586,135,862,716,739,124,
521,408,738,805,440,115,832,517,536,971,116,335,143,795,237,433,072,016,798,
573,226,889,906,244,936,208,380,161,110,645,860,569,557,728,454,749,611,636,
878,588,963,380,810,412,958,673,752,759,915,325,398,247,784,731,009,645,152,
590,255,299,520,274,617,228,953,905,046,857,021,089,949,898,105,155,123,010,
842,417,772,277,636,354,051,171,999,350,320,359,464,636,097,986,021,305,363,
375,419,349,760,135,569,185,097,309,304,141,194,365,460,608,350,492,012,348,
143,023,419,220,529,408,862,678,326,006,873,428,371,705,020,775,887,645,742,
866,735,696,091,810,343,096,862,779,178,191,363,797,776,673,817,004,400,985,
656,616,578,042,972,173,048,445,962,571,327,970,587,440,323,225,791,203,202,
641,854,551,394,419,580,236,220,852,598,504,052,193,974,786,686,870,709,497,
233,142,171,324,025,300,567,865,073,995,277,017,929,903,889,837,523,476,948,
564,066,771,931,168,140,069,824,679,963,813,733,691,926,798,027,385,819,109,
791,092,079,788,661,790,792,568,123,404,562,546,730,212,013,123,430,950,213,
055,263,366,158,029,299,608,507,411,638,594,973,215,679,856,238,460,867,384,
442,139,476,530,487,022,924,492,615,583,945,173,403,100,528,412,404,194,169,
725,810,859,724,489,618,992,319,428,516,863,778,526,051,298,126,721,546,104,
895,758,549,174,112,570,390,990,712,443,785,707,218,998,881,739,154,192,856,
062,155,282,394,435,014,397,120,239,565,837,427,846,267,301,624,995,492,779,
299,566,626,106,647,611,194,174,984,474,043,035,519,181,812,574,802,671,236,
338,937,635,659,472,588,559,316,442,363,734,484,646,285,466,814,083,049,006,
503,738,285,643,294,615,852,162,868,724,833,795,331,980,782,099,205,536,790,
296,635,520,149,298,191,800,784,018,669,984,599,451,036,045,080,346,213,314,
734,828,160,973,764,963,524,163,052,656,093,709,196,936,605,047,309,986,693,
752,653,185,237,147,294,738,329,386,122,958,142,706,348,358,855,706,881,780,
108,079,794,335,969,742,622,543,472,645,506,573,909,199,025,116,098,028,675,
884,603,778,783,805,406,745,669,559,030,948,407,375,716,205,634,368,046,063,
593,948,057,661,074,748,914,373,410,603,805,281,630,475,687,263,387,592,702,
443,044,157,413,426,394,809,809,950,107,001,673,747,573,423,310,568,220,836,
067,639,227,568,695,535,560,188,255,750,736,607,593,587,843,573,299,572,590,
610,116,427,282,687,612,518,076,288,247,858,107,535,702,699,608,043,599,561,
246,673,629,350,133,704,321,150,132,596,980,711,614,921,783,853,545,052,070,
664,351,177,922,008,562,741,025,124,120,790,969,784,420,853,990,832,889,822,
542,966,265,773,047,989,504,463,530,122,891,475,966,560,279,276,620,725,799,
285,806,576,989,864,430,383,365,506,591,831,746,934,853,098,559,927,269,459,
954,281,134,019,347,471,971,774,096,744,398,715,989,189,985,480,449,666,377,
846,886,303,846,920,889,277,035,806,550,895,629,788,097,856,786,905,869,937,
734,737,070,278,004,504,828,033,773,260,100,035,789,693,522,864,332,875,044,
549,851,171,562,048,625,277,423,850,624,730,485,813,058,021,268,423,597,046,
541,442,156,141,402,400,653,823,821,335,178,375,894,259,692,310,555,274,781,
728,349,730,092,060,075,192,936,461,144,315,501,683,732,881,318,673,490,895,
948,961,698,711,864,804,843,354,118,620,335,668,592,680,122,968,454,680,444,
032,294,934,508,266,973,645,303,386,795,221,493,221,357,615,091,018,877,154,
548,701,695,395,973,527,669,115,678,700,959,157,542,188,717,332,416,743,928,
815,252,190,185,107,562,408,762,695,529,777,637,049,019,161,681,397,177,537,
507,038,417,577,353,381,983,811,550,876,593,636,608,684,681,451,705,339,126,
687,937,267,708,929,823,355,181,646,631,102,275,553,991,570,303,246,203,397,
188,188,097,616,411,262,858,425,817,292,443,256,056,085,377,449,286,968,890,
208,968,904,715,787,257,364,003,059,483,554,298,570,051,729,662,865,812,485,
952,956,445,431,675,015,743,809,957,906,940,535,584,881,951,679,878,033,073,
835,711,101,405,928,442,551,017,928,578,236,715,572,296,826,624,963,460,984,
755,959,839,789,956,926,354,317,575,028,840,032,448,338,890,235,278,475,895,
134,670,607,445,047,083,984,710,970,250,920,213,616,972,984,092,318,599,230,
503,339,061,582,090,482,836,254,198,643,251,282,237,091,896,184,989,042,294,
405,625,658,930,434,517,466,110,404,172,095,753,743,172,202,708,238,380,005,
210,470,847,009,076,926,557,062,766,995,225,413,580,528,900,633,483,174,611,
488,043,311,957,782,996,500,135,976,626,513,462,405,118,480,467,155,345,943,
591,941,653,255,117,722,677,727,892,521,399,657,533,687,859,818,126,871,002,
613,200,585,006,338,371,314,290,846,167,728,164,420,547,052,771,958,031,159,
531,458,158,173,251,755,055,219,418,345,059,762,235,387,010,221,017,480,364,
332,689,474,483,103,125,302,975,607,194,354,958,489,757,849,266,017,987,327,
407,360,857,928,311,142,357,373,912,765,958,381,332,218,873,918,591,317,442,
292,838,527,074,968,942,486,145,942,929,278,411,794,433,479,138,167,933,129,
179,750,159,678,574,525,843,488,143,468,504,700,833,284,437,289,389,213,280,
063,413,639,555,991,487,595,348,961,024,498,680,155,486,771,395,149,913,271,
235,273,287,377,441,940,802,181,578,764,025,392,899,933,805,187,049,337,027,
756,700,190,101,506,103,493,896,660,004,125,208,215,630,275,173,902,126,314,
420,136,132,838,211,562,793,551,501,600,365,175,230,037,366,545,061,134,045,
379,694,091,281,399,880,955,216,019,798,027,810,083,622,664,546,200,042,912,
625,718,029,641,817,587,561,673,040,156,301,999,963,248,690,537,763,785,314,
704,550,492,275,348,824,950,998,210,749,201,694,486,177,203,531,809,457,731,
865,268,406,957,199,332,565,622,350,916,993,540,834,154,846,860,925,770,693,
539,048,834,263,771,802,722,153,005,344,360,427,731,407,042,967,498,804,178,
822,221,418,712,890,520,391,863,994,839,796,679,800,426,076,052,197,628,494,
093,446,109,306,812,677,268,516,028,649,712,374,389,470,625,278,132,459,224,
830,126,743,366,411,839,837,227,817,754,169,117,529,214,514,152,183,056,052,
203,586,400,182,695,368,040,290,975,415,966,866,387,587,285,916,212,924,062,
419,917,480,564,249,041,306,781,137,922,690,986,848,511,982,762,862,054,180,
761,411,711,611,085,862,452,586,540,471,532,638,931,797,773,682,330,720,881,
027,891,338,607,522,166,682,791,879,416,327,102,388,240,031,051,556,538,422,
802,379,645,530,742,478,818,130,963,017,181,512,195,551,120,923,080,629,388,
560,538,670,267,010,536,734,592,027,613,763,835,850,133,225,778,422,366,187,
316,654,513,050,962,205,328,304,164,326,115,239,165,351,919,845,580,264,230,
538,186,817,477,115,949,373,277,593,480,198,199,314,536,266,569,554,483,173,
638,944,138,441,707,741,651,700,373,060,591,601,421,438,434,466,941,140,886,
142,320,291,592,503,444,136,880,764,204,778,656,902,913,471,641,560,462,359,
542,620,281,659,738,966,325,101,418,657,397,430,091,848,808,492,517,574,982,
545,412,373,357,246,426,515,091,598,132,946,732,641,289,266,160,868,636,539,
442,129,022,919,409,917,780,705,971,724,994,511,086,225,185,381,375,808,629,
916,879,641,557,948,398,521,141,232,724,656,658,206,720,542,261,533,837,754,
716,530,747,242,019,414,577,787,754,957,951,427,626,204,693,881,705,553,554,
030,316,810,069,529,011,083,967,809,601,916,362,590,283,569,815,143,105,249,
234,447,844,749,643,685,310,164,707,211,828,562,126,439,115,984,828,168,668,
380,836,032,901,186,728,186,346,136,960,982,227,447,328,426,191,488,702,265,
253,177,120,817,986,734,938,994,966,423,232,267,022,980,263,250,696,542,027,
350,491,809,487,689,859,215,517,598,504,897,616,847,580,938,867,029,812,399,
113,715,956,169,268,333,369,415,279,767,587,731,774,538,037,050,090,876,003,
647,578,969,426,390,244,201,420,904,098,576,766,421,321,438,594,825,836,835,
183,157,742,671,523,471,271,376,519,286,130,523,161,178,397,661,428,263,048,
227,558,049,197,191,422,585,787,008,810,009,067,796,421,624,057,442,082,092,
131,359,551,408,941,378,597,551,345,002,654,371,491,001,107,971,005,663,310,
793,992,143,466,897,147,259,664,515,217,487,918,512,616,900,892,570,237,801,
581,209,104,328,721,639,793,649,605,222,049,549,416,934,977,076,199,389,908,
189,808,973,941,237,511,955,081,387,125,799,946,258,609,087,701,222,458,521,
371,853,345,449,438,240,832,327,911,480,761,249,683,635,034,733,581,061,009,
839,390,812,338,016,815,206,998,288,211,304,673,885,381,514,012,703,368,483,
385,037,297,509,117,408,749,759,135,914,544,203,184,652,669,195,576,165,418,
949,673,518,441,325,419,697,081,003,315,394,990,895,713,646,419,234,772,882,
115,100,465,176,383,069,308,697,746,575,011,923,817,220,176,444,085,298,164,
912,026,785,470,090,205,695,196,002,781,116,908,005,896,513,458,358,281,847,
678,718,315,191,444,033,562,312,193,534,359,289,687,071,234,940,103,040,226,
969,500,050,341,551,778,348,610,094,619,318,527,171,986,939,634,750,501,492,
687,107,431,822,551,271,291,397,989,321,036,035,274,443,931,068,209,563,433,
649,468,678,460,812,910,801,887,641,978,959,560,836,014,000,571,786,205,428,
230,130,229,130,690,566,946,472,738,233,100,499,192,008,084,655,390,723,108,
285,287,860,156,356,760,833,345,879,210,180,825,939,988,216,328,858,411,909,
416,616,528,906,924,985,037,588,808,253,683,646,211,964,392,422,277,998,699,
643,067,124,172,713,925,798,323,359,915,936,747,320,356,002,895,764,431,831,
477,987,579,811,585,143,122,943,562,036,124,911,871,464,837,552,948,647,264,
025,056,003,110,934,206,115,097,279,719,507,963,278,141,493,377,500,095,746,
869,599,637,831,520,802,188,933,885,567,826,221,165,278,180,403,493,031,014,
143,700,626,548,137,088,719,754,667,520,493,090,937,819,100,686,888,665,529,
074,082,315,012,937,849,825,011,624,490,154,498,787,482,023,788,707,901,897,
940,524,310,913,605,824,810,692,476,785,166,904,328,048,391,438,157,425,460,
117,052,164,557,295,687,366,561,159,113,827,394,797,647,792,699,088,590,389,
314,193,520,277,872,618,685,174,236,958,995,057,328,229,983,303,778,050,622,
551,799,633,627,536,724,207,391,283,714,499,308,992,327,409,500,955,919,947,
038,211,827,758,812,831,614,913,289,858,194,866,751,390,407,037,774,142,248,
454,717,826,488,458,930,314,422,026,863,697,653,422,100,383,381,334,790,740,
724,806,940,270,811,173,295,883,357,020,273,547,123,105,266,622,073,717,130,
229,910,522,348,291,187,020,059,695,251,044,116,364,312,987,044,813,972,140,
882,513,485,816,712,385,512,041,754,827,099,389,135,032,476,727,510,739,166,
920,313,282,752,888,861,654,632,074,750,886,506,757,255,557,245,196,297,348,
445,819,008,208,854,149,786,579,060,648,598,401,776,777,785,464,438,736,943,
267,693,082,633,696,377,493,356,177,164,977,669,956,757,607,774,143,478,590,
177,981,300,131,551,086,294,686,065,995,090,647,098,581,880,190,400,688,747,
921,396,105,387,259,062,220,443,819,354,459,931,426,021,359,805,775,450,853,
846,370,007,107,509,722,951,801,665,054,476,781,384,932,114,341,203,142,458,
831,081,721,816,884,257,405,197,407,036,788,454,892,589,039,547,126,141,718,
372,759,678,467,902,206,285,724,632,771,090,047,151,335,829,075,083,291,473,
820,426,702,779,962,701,288,399,929,837,186,735,639,141,269,626,298,346,329,
663,697,643,988,199,659,038,304,723,670,145,812,797,545,196,521,463,931,724,
037,858,437,473,807,271,059,109,881,635,628,727,414,160,304,537,882,809,307,
875,322,708,266,108,617,988,816,830,924,681,641,749,900,084,152,156,216,489,
435,151,230,405,409,832,105,457,326,570,937,305,632,248,967,190,058,409,594,
058,805,658,179,151,505,680,260,968,667,466,216,627,249,566,003,546,105,886,
177,285,886,412,928,972,379,698,768,043,886,654,563,779,773,873,447,582,413,
301,389,122,150,253,435,212,517,828,827,013,308,569,627,385,863,683,566,069,
099,879,703,762,293,687,899,172,815,407,509,138,458,527,937,257,143,698,099,
009,728,428,639,025,356,086,968,195,505,653,355,985,527,895,835,816,049,840,
655,896,538,882,034,752,349,237,600,889,488,507,255,106,234,880,666,683,006,
854,498,167,454,940,078,402,548,711,384,378,523,485,142,362,118,594,287,540,
285,756,295,226,729,840,916,737,263,710,610,824,963,605,665,269,733,915,347,
657,563,916,610,520,965,878,514,474,048,440,220,019,642,719,877,710,566,444,
179,574,039,851,144,314,354,194,136,089,788,803,197,927,565,261,222,258,642,
913,260,069,905,932,924,636,658,348,847,646,534,650,070,197,696,074,725,449,
741,215,241,230,548,571,493,370,903,859,113,648,315,609,358,860,422,508,100,
147,043,451,782,002,821,528,020,275,352,897,139,717,440,637,536,544,512,540,
070,192,626,462,297,577,379,450,619,734,640,956,340,092,681,902,754,041,831,
471,975,588,752,961,890,232,890,836,159,363,648,525,633,560,680,798,276,568,
472,957,098,839,309,572,187,268,996,385,003,689,352,690,304,300,104,130,963,
994,720,620,380,939,537,088,357,588,860,341,950,356,871,465,949,875,346,502,
777,296,722,196,456,568,404,899,750,570,914,395,854,900,185,384,412,313,286,
934,497,031,938,375,057,926,714,889,878,821,555,871,280,365,102,110,839,762,
788,526,850,112,416,658,992,170,977,925,978,764,008,811,667,657,457,441,647,
777,467,634,472,340,375,803,373,969,541,236,440,274,767,693,001,442,313,741,
487,535,905,917,027,786,253,649,324,829,601,641,641,325,736,127,461,298,280,
490,264,325,639,733,648,626,554,818,557,876,552,828,446,145,326,866,892,416,
071,732,934,346,091,982,579,316,592,493,465,860,006,428,118,776,670,180,218,
211,062,496,995,707,318,007,807,273,420,406,706,078,957,376,988,002,157,098,
734,778,284,684,439,139,529,757,339,605,389,169,348,491,127,105,262,516,735,
969,570,753,947,877,813,718,934,153,994,991,762,810,581,737,995,624,566,065,
911,589,252,921,502,287,529,814,679,779,665,392,772,432,962,733,896,883,385,
891,398,149,736,417,400,455,162,011,649,496,639,735,761,499,808,266,663,957,
312,632,281,152,673,853,589,239,345,409,338,674,873,886,087,413,779,637,506,
856,392,837,821,440,852,336,559,996,707,355,959,888,804,426,418,572,446,363,
587,267,833,516,508,931,508,568,210,190,125,946,025,243,189,636,140,750,532,
963,012,504,288,402,842,282,305,703,649,942,548,852,592,530,133,007,074,122,
856,439,122,910,465,118,286,915,479,956,214,832,001,047,886,278,510,952,138,
976,348,799,078,566,525,360,946,771,760,309,653,367,209,487,691,884,183,380,
902,647,501,542,398,970,986,190,824,565,042,286,891,465,301,617,551,240,513,
318,717,354,424,240,962,882,549,245,765,543,753,116,426,919,992,600,748,846,
758,574,979,917,844,794,894,291,081,333,174,562,521,447,005,406,564,892,789,
785,111,137,056,981,822,268,800,509,535,227,912,025,962,365,151,714,419,801,
562,291,618,392,747,443,618,161,991,948,031,581,676,153,217,448,694,878,242,
381,329,798,839,786,545,651,205,628,274,468,864,074,137,095,539,031,105,019,
454,838,563,784,224,620,133,957,582,066,000,196,073,596,389,370,314,895,073,
013,358,400,898,185,024,718,554,868,783,682,639,453,871,907,250,317,953,824,
218,671,870,197,880,973,160,948,512,340,947,103,990,357,535,275,761,231,233,
714,945,444,346,162,736,009,552,094,416,701,820,889,933,690,564,793,299,680,
218,634,739,295,374,567,814,187,588,807,833,377,273,825,245,691,888,144,024,
714,778,723,080,564,103,427,227,979,007,683,805,319,989,003,740,428,289,322,
607,511,032,510,496,459,291,735,981,703,252,269,088,931,599,049,993,784,045,
324,414,560,222,475,869,745,865,923,658,348,985,645,982,713,959,623,164,110,
090,027,631,133,760,420,545,588,667,358,020,463,050,728,569,941,995,076,915,
098,297,142,807,556,129,021,735,550,924,234,331,159,314,442,366,512,612,298,
584,386,766,072,420,791,770,078,764,246,805,400,186,252,287,803,429,212,563,
206,717,277,922,294,744,376,146,681,380,087,578,045,247,597,152,267,127,206,
239,077,125,531,748,833,881,687,738,564,089,018,596,274,418,417,795,999,860,
380,717,109,011,213,010,780,797,687,219,683,103,108,953,829,731,534,919,873,
191,551,215,541,794,389,485,316,717,101,019,013,885,754,003,427,296,556,575,
198,770,479,461,893,920,376,740,311,702,519,003,233,977,496,362,018,704,300,
249,818,434,168,097,755,089,220,494,592,778,613,238,942,195,253,224,735,086,
471,677,965,974,491,108,449,776,428,807,712,582,277,897,188,144,816,476,158,
365,644,652,857,080,546,312,148,461,617,872,293,412,365,532,380,408,161,397,
232,516,632,220,583,634,817,459,621,956,795,515,438,140,290,324,297,907,807,
409,132,088,509,189,800,344,174,574,377,163,840,738,117,547,494,839,550,327,
863,823,775,712,749,484,601,499,135,225,320,735,385,084,496,914,643,114,668,
909,654,960,213,955,482,046,366,882,926,015,188,775,109,359,808,763,932,796,
402,870,920,921,166,558,351,748,292,812,510,455,667,057,722,956,885,767,397,
525,976,795,848,674,957,001,763,791,620,350,148,182,079,140,852,442,906,384,
326,649,479,996,326,097,563,145,561,122,929,501,633,751,704,224,383,355,963,
676,944,243,180,510,462,214,168,764,569,896,784,430,830,498,060,134,298,631,
817,295,153,092,421,782,143,071,111,769,485,136,524,293,382,887,447,344,530,
548,883,141,276,978,631,661,876,675,075,175,206,069,866,821,769,750,992,647,
663,426,270,655,984,711,651,727,299,737,088,471,796,999,170,991,554,494,385,
857,462,511,689,913,931,658,809,873,918,437,196,827,449,132,174,524,034,679,
175,183,186,827,290,299,369,548,114,938,290,996,597,071,580,360,064,267,982,
087,385,361,955,496,632,104,170,201,005,271,847,658,410,621,519,039,878,649,
582,095,366,479,546,511,905,078,682,663,181,742,278,699,927,196,800,400,700,
446,445,534,210,541,311,223,227,672,622,668,865,072,519,827,370,086,079,781,
197,805,866,389,846,137,430,608,065,669,616,140,316,366,760,125,679,145,893,
870,387,849,605,572,977,609,390,078,022,096,459,323,732,263,899,108,156,093,
297,711,384,756,513,234,248,518,137,546,396,197,207,488,618,928,399,596,733,
185,656,489,733,432,952,338,033,098,147,423,838,039,946,527,120,144,824,786,
502,805,348,510,221,793,260,679,204,784,125,929,229,065,405,938,798,169,180,
251,929,708,293,335,472,833,919,341,262,023,499,314,441,806,991,299,812,052,
946,713,477,697,393,177,127,645,722,967,784,726,665,802,654,923,166,980,729,
277,600,742,334,830,131,526,640,078,939,519,663,448,560,677,425,951,492,346,
766,659,365,373,787,119,920,250,219,521,670,408,166,077,774,124,765,174,623,
828,439,520,932,017,862,704,627,843,338,730,879,117,587,164,936,046,469,123,
393,893,709,715,410,872,757,726,193,995,640,954,513,196,245,221,405,618,736,
436,320,633,987,091,793,510,266,260,664,098,132,439,329,242,184,289,888,406,
050,710,607,511,829,521,149,776,011,524,573,799,824,219,462,543,570,098,542,
556,501,284,292,156,290,088,643,436,950,890,386,562,489,986,066,008,749,661,
744,425,025,959,134,469,038,660,778,240,772,696,999,600,476,469,079,012,404,
072,646,073,558,605,489,932,346,482,186,083,587,009,233,493,076,631,683,558,
521,998,932,793,421,293,622,428,441,224,772,148,471,631,515,519,967,987,170,
893,106,659,409,168,255,042,438,177,981,089,228,091,851,663,503,677,146,565,
771,224,325,862,561,788,158,366,641,612,298,581,652,612,706,457,368,611,333,
890,532,682,344,244,692,530,593,805,837,234,785,525,245,190,295,185,423,839,
742,826,782,820,047,109,423,860,195,601,307,012,809,178,180,417,054,908,483,
566,632,415,969,597,761,644,803,421,734,894,193,886,853,523,114,333,070,928,
689,874,494,104,257,810,559,228,206,335,790,014,719,554,006,762,690,598,887,
878,624,294,888,416,539,267,272,985,490,087,553,071,929,788,290,830,516,025,
515,208,155,423,745,585,791,403,646,806,132,937,002,317,358,825,509,272,929,
510,076,371,425,388,693,558,076,760,674,336,773,807,971,139,414,277,415,865,
223,835,458,067,615,799,588,406,213,720,649,541,266,327,410,733,955,463,755,
002,972,042,236,367,143,114,696,110,284,608,211,672,541,239,797,654,101,765,
454,458,042,150,096,295,147,703,983,081,898,781,594,352,138,500,680,832,876,
355,429,007,201,842,104,864,458,631,269,217,702,343,856,097,043,225,998,733,
034,696,707,170,572,913,301,251,736,534,762,786,308,453,656,919,207,467,854,
948,478,636,963,095,314,693,635,543,744,673,688,336,648,844,291,021,210,870,
918,310,942,419,439,849,237,851,022,672,977,102,582,778,891,586,889,274,594,
627,865,319,409,000,177,537,624,514,314,910,472,318,211,219,396,607,779,949,
642,242,051,801,997,956,484,149,940,611,224,840,690,614,437,212,418,642,185,
361,328,153,449,510,742,498,103,215,724,758,717,156,336,855,940,677,075,458,
907,786,336,964,464,112,828,836,956,737,420,268,733,965,884,335,284,937,959,
297,062,058,249,101,566,090,840,946,275,236,457,191,731,541,835,825,036,476,
788,563,116,439,932,552,960,214,167,799,908,950,245,742,922,776,776,991,086,
772,459,443,263,091,197,351,916,756,200,741,271,793,877,097,706,258,807,250,
380,317,268,162,010,688,825,009,639,803,858,262,228,540,022,946,623,110,389,
269,703,435,641,406,248,804,777,241,016,723,084,374,599,815,754,777,386,572,
225,442,556,165,838,952,048,163,733,433,747,671,365,002,514,036,479,481,322,
090,509,402,112,392,138,679,218,582,532,170,506,870,813,949,488,693,492,900,
629,750,341,160,925,075,243,406,376,610,952,355,154,412,005,791,361,562,085,
009,179,419,004,659,300,216,836,331,022,501,468,044,972,878,046,758,888,640,
444,027,448,080,468,644,174,885,349,037,737,897,357,885,603,245,270,142,718,
163,114,380,876,949,355,804,568,835,064,993,592,129,574,611,729,310,617,918,
606,646,621,115,306,086,179,040,366,107,216,109,155,453,779,491,678,126,718,
680,304,990,414,269,841,794,511,740,882,094,616,863,614,971,988,515,015,482,
455,633,116,202,226,289,220,219,628,663,539,525,138,704,682,599,176,780,345,
924,467,230,675,544,393,249,064,040,417,212,132,143,630,489,663,114,211,214,
305,599,899,367,332,862,606,475,199,384,887,637,716,821,250,352,946,312,787,
486,235,275,568,781,684,717,837,763,476,693,911,277,905,636,044,027,875,116,
828,441,702,380,550,705,738,956,293,225,168,363,620,589,913,786,351,109,992,
037,451,004,885,538,824,301,092,996,922,411,353,961,380,049,201,667,310,692,
061,292,024,518,054,515,748,813,481,763,342,244,430,243,994,808,935,140,458,
271,655,519,635,333,013,798,997,544,846,007,650,079,754,280,695,916,179,532,
789,292,642,212,145,094,204,067,786,116,244,462,113,290,656,508,951,259,922,
884,344,678,879,834,696,940,962,157,201,822,145,510,254,669,061,494,372,798,
893,131,963,235,114,479,016,138,895,067,665,062,487,457,364,285,698,371,442,
464,129,139,556,300,412,079,666,172,458,653,997,243,597,715,793,944,570,252,
525,649,579,958,058,773,372,835,128,587,042,643,188,907,847,441,616,368,671,
865,946,710,017,135,027,351,517,166,431,959,836,400,628,055,951,651,568,917,
548,077,834,228,570,578,694,815,145,892,956,022,892,986,147,349,517,864,537,
379,032,189,279,934,043,448,081,491,774,323,448,696,837,002,072,422,570,778,
755,633,838,869,487,424,263,119,527,260,412,956,829,818,682,956,305,044,421,
702,034,976,037,949,548,214,779,475,247,597,905,075,524,082,318,353,429,158,
179,503,986,477,852,044,632,182,196,131,269,282,601,448,562,214,990,451,214,
605,022,354,246,599,031,516,674,546,167,507,231,447,070,358,663,142,450,630,
081,172,033,502,834,794,629,413,784,504,303,602,009,321,965,068,209,112,949,
047,642,445,190,018,078,041,039,084,098,110,481,277,053,711,340,157,447,386,
917,510,656,037,824,772,189,334,114,191,142,842,144,117,496,141,971,493,480,
358,223,166,042,274,431,804,563,642,034,361,999,767,280,628,242,126,027,203,
944,634,697,308,026,058,973,000,769,275,955,927,873,909,350,154,568,747,815,
139,772,871,009,167,367,038,261,066,562,155,972,647,123,915,844,717,733,751,
022,500,701,732,442,307,425,939,698,968,933,894,179,075,685,276,829,297,147,
108,614,399,947,386,735,937,981,730,099,355,518,087,597,726,001,901,701,736,
923,175,846,985,652,944,003,083,125,748,926,601,742,258,283,657,378,918,220,
903,515,911,046,428,811,173,237,637,939,430,890,187,887,370,764,247,571,983,
530,506,609,445,065,221,733,739,620,658,911,157,410,721,241,245,681,353,136,
651,570,300,481,233,825,663,989,747,177,248,261,774,670,264,264,590,777,411,
512,947,426,917,638,760,058,365,788,444,954,909,457,937,464,081,771,977,704,
527,504,290,903,897,444,235,605,211,228,904,427,252,808,418,679,238,476,475,
897,534,059,460,268,435,123,327,028,661,783,256,352,305,156,270,519,786,130,
474,463,412,198,433,961,875,976,891,525,359,201,911,546,098,254,819,791,370,
186,755,908,981,215,219,168,422,499,927,280,331,710,440,057,798,612,806,718,
602,223,836,087,948,165,405,621,691,565,235,894,108,511,879,067,233,369,219,
028,858,386,271,727,722,470,640,557,512,341,732,117,248,943,427,150,277,161,
441,713,553,012,009,083,847,081,659,708,120,294,676,153,224,943,405,899,829,
242,190,405,768,411,351,130,955,025,756,321,766,276,151,246,196,079,660,873,
778,032,380,114,572,413,241,507,575,956,960,074,959,336,653,365,165,372,554,
391,827,700,943,335,326,497,811,896,197,274,329,402,125,993,285,411,862,894,
618,638,327,229,505,703,066,692,577,795,618,636,078,309,729,424,507,302,247,
629,148,237,077,087,863,813,545,744,982,881,770,747,544,657,180,163,003,137,
465,997,592,843,229,193,455,173,741,331,152,593,881,108,307,717,439,759,284,
110,425,665,302,311,789,929,474,778,190,220,343,725,243,938,840,206,739,879,
519,486,466,057,363,601,201,356,934,578,306,551,554,747,302,390,194,658,047,
178,361,087,960,490,293,121,103,389,801,103,082,179,796,983,391,225,267,145,
484,347,198,006,497,557,978,751,600,887,878,272,400,551,497,018,676,716,782,
848,281,548,293,065,510,839,234,869,626,563,376,342,734,942,531,848,484,427,
940,482,281,797,967,374,675,963,672,946,910,684,084,856,710,070,170,384,332,
724,567,087,085,988,917,408,313,446,282,106,388,201,747,149,347,439,428,585,
070,049,145,711,584,797,627,845,476,014,640,606,293,925,517,539,065,821,464,
160,713,085,711,595,544,997,543,346,366,263,694,012,686,557,665,602,059,757,
132,292,147,969,663,592,747,595,695,909,770,152,010,641,097,851,051,613,754,
994,559,488,275,971,666,138,537,925,267,153,849,114,338,583,401,513,770,214,
191,106,024,276,794,128,618,251,191,777,264,201,548,540,892,355,433,370,488,
140,566,546,580,148,578,752,926,140,253,970,245,290,568,138,277,818,560,429,
414,906,402,205,825,836,982,577,587,233,439,434,348,728,009,027,567,818,181,
987,753,832,457,096,649,705,701,478,331,009,824,519,100,189,581,351,738,088,
382,548,451,580,891,274,431,980,774,593,090,808,974,695,727,511,116,262,240,
874,758,985,063,573,793,078,461,545,112,269,954,113,481,575,270,030,121,092,
557,472,065,971,275,865,245,280,679,840,723,205,724,725,736,819,205,895,622,
847,866,503,831,866,580,555,115,164,788,225,867,608,380,851,845,576,103,520,
105,680,137,932,904,881,207,098,471,478,080,366,176,318,461,757,779,902,643,
924,672,216,259,063,180,229,318,447,415,923,943,018,809,810,973,580,555,623,
884,966,966,382,404,000,768,191,181,230,746,980,442,106,989,392,195,423,557,
646,006,094,225,768,074,577,174,226,683,937,078,045,365,559,678,092,550,362,
043,077,523,117,363,263,654,957,865,787,799,621,284,441,234,126,279,643,999,
008,310,475,033,139,906,570,543,222,691,438,317,674,075,506,262,005,693,083,
788,298,801,500,049,023,716,198,613,990,981,359,718,629,575,041,075,667,665,
557,816,844,849,939,997,169,125,658,239,584,479,266,975,583,434,778,058,712,
881,321,128,421,900,627,608,330,362,842,329,550,984,011,249,479,258,382,672,
119,727,623,387,650,683,934,586,469,724,829,410,401,599,757,911,036,138,864,
030,537,211,968,958,514,122,283,038,762,119,176,107,745,143,140,821,562,623,
375,128,272,633,265,316,775,393,081,804,966,651,271,103,697,979,830,294,141,
713,819,508,744,391,133,061,877,119,583,182,640,304,192,794,504,493,985,804,
713,560,828,239,670,742,059,188,801,174,430,227,430,153,549,970,285,018,122,
274,148,641,953,223,401,879,428,891,863,523,604,872,445,076,312,450,044,486,
730,691,857,815,458,767,756,726,289,293,741,268,369,605,589,126,898,889,469,
409,009,654,103,543,172,671,284,083,418,933,919,575,393,827,027,964,312,432,
779,012,707,696,635,107,954,734,876,884,927,937,163,326,788,750,525,099,069,
541,098,710,656,902,405,738,846,108,407,715,621,145,894,047,996,452,349,464,
156,802,830,343,988,749,225,229,951,562,066,422,675,549,597,635,169,996,266,
294,866,058,455,466,511,255,040,180,095,262,511,679,188,656,402,562,443,230,
629,427,893,419,321,500,762,696,922,030,115,764,458,675,260,203,694,166,644,
020,288,991,624,957,524,431,117,002,128,936,137,657,894,703,937,570,596,668,
132,570,821,036,025,897,276,770,253,602,747,022,051,254,133,471,989,489,871,
340,501,118,749,645,911,647,577,094,006,547,834,985,219,153,123,967,346,972,
993,261,253,091,541,170,840,121,423,664,162,432,502,904,720,358,380,890,451,
043,359,226,273,856,164,099,338,080,022,860,051,601,040,879,499,311,446,819,
724,678,367,128,737,827,578,786,172,605,090,474,034,505,024,793,055,364,859,
932,783,514,484,240,374,945,663,923,431,761,016,808,331,889,813,381,873,234,
836,371,161,385,457,735,998,194,174,417,933,517,998,776,322,549,356,690,012,
018,780,674,542,195,810,925,205,461,793,632,436,990,337,290,072,600,440,092,
394,568,285,653,877,029,758,780,901,509,872,533,764,242,560,338,664,927,900,
503,417,841,050,859,419,968,640,975,927,782,890,446,122,572,633,230,662,153,
422,544,547,992,083,515,878,603,753,356,183,508,981,789,545,787,942,499,623,
947,024,781,743,254,441,029,499,044,879,951,617,053,656,177,063,435,027,431,
643,147,910,166,948,222,378,919,106,174,839,759,279,168,637,498,913,351,912,
754,938,827,112,805,050,463,263,434,983,092,254,426,171,273,082,656,787,385,
576,060,748,867,289,684,170,238,380,861,778,689,299,664,061,342,624,724,293,
033,835,039,119,034,424,249,755,949,717,011,164,669,424,342,778,317,158,358,
358,209,621,046,090,593,725,741,995,898,683,477,765,950,303,945,517,793,643,
526,797,167,632,324,004,735,979,673,426,767,740,060,237,826,177,446,877,477,
939,958,067,277,016,065,872,152,981,151,137,867,565,699,947,252,229,437,404,
491,629,230,556,695,821,525,199,235,017,371,275,683,189,115,123,435,994,022,
624,813,424,942,498,004,136,635,706,587,075,472,682,175,410,196,366,568,730,
314,521,225,833,328,624,798,119,342,714,739,039,752,488,797,193,403,807,305,
109,237,877,418,177,049,101,128,726,891,472,069,303,147,464,728,295,605,924,
064,831,725,981,938,503,383,280,208,772,563,365,532,308,331,442,867,379,149,
641,909,071,297,594,784,429,163,881,028,837,326,616,123,232,655,917,027,046,
410,674,531,884,624,891,952,263,808,905,733,935,363,314,798,939,621,842,324,
852,454,248,823,642,378,882,160,745,764,628,824,428,007,035,206,221,149,910,
760,873,801,951,186,125,483,219,030,595,375,963,894,391,218,271,026,271,884,
983,462,977,649,220,937,300,110,264,618,490,463,472,068,793,184,121,573,137,
032,201,145,627,673,961,082,233,070,959,511,217,610,952,386,015,437,756,664,
715,273,320,162,068,451,994,067,822,644,587,354,948,903,930,787,977,015,478,
696,727,554,197,738,873,118,170,854,925,781,665,909,522,286,123,503,527,647,
507,546,212,587,120,009,633,316,814,918,581,099,312,567,600,272,819,589,146,
285,561,874,633,901,117,774,575,571,281,839,436,258,703,041,702,051,742,945,
000,750,212,207,736,835,112,074,363,142,728,179,878,647,846,763,250,884,055,
812,625,175,301,672,795,983,073,449,699,457,621,594,765,429,233,831,316,090,
665,887,641,282,719,614,291,135,273,767,492,172,442,411,703,830,609,918,752,
344,981,556,371,548,165,349,907,182,995,796,192,882,264,485,745,527,639,530,
164,605,446,649,129,464,822,856,957,297,223,797,384,567,609,912,535,988,809,
508,515,452,835,819,733,012,085,536,989,657,055,088,029,837,317,587,498,490,
603,427,307,139,978,688,904,461,528,647,528,309,534,249,051,368,960,257,104,
463,782,960,626,366,813,051,072,101,922,073,858,538,159,122,446,615,276,943,
798,063,633,058,827,742,142,081,165,603,769,959,086,090,562,920,699,101,192,
063,911,536,488,118,287,340,638,205,259,413,711,170,343,305,951,236,357,455,
490,726,640,284,593,444,937,593,405,317,907,066,913,712,926,712,056,330,700,
267,964,431,059,984,851,433,257,565,405,783,745,427,216,099,097,473,677,094,
009,943,992,839,834,858,128,087,419,918,111,440,130,871,195,795,946,303,143,
284,080,974,354,763,108,252,652,754,055,614,108,417,057,128,882,871,852,644,
895,889,773,350,942,348,111,113,167,185,938,859,642,639,624,179,428,923,961,
609,851,232,991,720,389,970,598,185,627,878,847,997,601,048,611,504,383,103,
138,319,812,835,528,460,202,211,000,876,289,465,823,390,621,163,394,017,517,
464,128,359,559,033,603,088,716,836,973,125,793,685,653,268,067,605,311,037,
814,774,983,706,601,547,555,752,738,567,492,132,188,875,624,345,252,932,128,
031,910,468,877,720,116,142,592,372,061,675,345,308,437,734,960,936,644,426,
882,359,614,534,113,069,904,779,757,984,978,553,020,862,675,584,318,685,978,
996,137,088,556,875,800,922,400,867,013,810,312,669,700,467,167,523,183,871,
510,021,825,418,437,976,501,394,014,285,858,278,345,937,979,307,315,953,344,
986,330,013,850,131,571,473,220,256,194,439,954,506,289,173,977,418,981,427,
155,135,302,518,294,620,512,635,704,821,159,671,047,506,256,116,541,614,626,
765,358,567,924,639,684,364,546,019,031,727,340,728,673,972,982,511,395,828,
662,603,331,696,129,657,348,150,621,338,924,295,955,243,007,403,768,746,533,
926,019,401,611,445,255,646,431,217,038,287,341,042,671,851,857,777,738,469,
792,869,986,775,631,754,851,649,374,179,224,641,024,055,442,714,267,122,165,
717,369,141,676,285,229,079,876,502,706,702,037,405,053,548,460,983,318,217,
368,170,167,829,204,340,958,388,772,652,705,120,851,399,499,977,344,513,299,
006,827,221,375,930,936,199,351,955,358,333,438,343,284,960,718,438,518,840,
552,600,028,330,491,307,840,755,036,795,984,002,598,645,796,508,086,178,503,
610,218,471,081,926,558,464,902,066,475,900,717,057,937,582,352,381,022,794,
254,162,641,137,452,455,051,492,485,190,112,420,026,124,619,142,862,125,441,
351,627,742,876,647,009,490,053,426,273,374,765,618,089,876,563,269,549,775,
141,032,324,081,389,524,692,033,685,827,297,555,956,775,746,944,306,744,896,
033,594,946,854,288,316,998,335,992,100,724,222,884,264,957,966,714,820,171,
198,234,424,649,204,745,506,025,391,678,167,295,433,583,387,196,633,834,098,
444,283,204,485,326,861,002,535,037,437,019,310,453,499,095,549,957,218,478,
132,485,318,297,755,092,522,155,398,691,015,072,585,453,712,536,739,760,237,
575,783,446,457,629,677,021,927,557,611,342,813,500,383,298,336,468,632,282,
120,401,366,829,547,229,751,730,232,560,580,989,196,573,659,241,563,026,000,
024,684,655,369,299,422,730,187,766,586,310,576,033,883,413,611,506,003,925,
467,903,262,893,657,245,766,152,960,672,002,380,901,577,985,536,665,053,162,
186,448,760,553,537,131,381,402,403,079,329,421,905,513,164,220,219,920,571,
793,058,153,276,203,971,005,468,851,829,048,732,267,086,802,090,686,528,676,
235,348,087,873,714,681,514,187,218,663,371,385,347,000,522,736,121,080,344,
855,343,143,122,525,296,291,114,290,591,783,800,409,541,608,020,127,593,411,
007,158,869,828,411,116,652,051,840,592,883,909,104,395,222,117,548,856,131,
639,117,131,513,865,044,938,115,692,522,363,505,852,958,256,989,813,935,904,
174,056,553,550,585,268,562,148,868,537,879,895,424,362,535,156,541,770,418,
272,063,801,455,228,256,385,023,713,033,591,799,287,761,149,153,852,134,651,
714,113,071,920,192,312,608,612,083,181,237,788,850,594,514,603,071,539,758,
028,191,635,876,739,089,930,043,312,780,657,684,108,184,594,232,525,822,403,
227,172,428,189,851,341,811,625,014,060,122,340,959,661,151,203,680,624,024,
302,354,018,245,570,451,940,335,481,621,438,578,456,215,317,222,328,082,350,
876,548,787,755,428,750,745,391,520,653,670,985,443,079,438,258,747,741,309,
326,932,056,338,156,983,172,355,975,066,872,941,680,225,810,766,428,927,249,
591,436,979,230,334,343,699,477,238,755,835,293,677,210,740,085,842,945,752,
072,929,703,583,123,172,923,740,385,068,943,251,981,394,239,076,015,130,722,
721,458,258,554,984,325,610,579,956,514,700,506,182,657,148,934,347,561,810,
230,001,255,766,565,349,856,496,082,462,229,860,151,274,842,541,013,892,610,
942,914,179,726,199,288,719,239,934,922,076,948,795,560,827,215,692,228,581,
446,858,693,577,413,091,857,292,544,078,556,857,154,614,691,030,641,106,223,
934,251,599,714,871,431,500,190,638,569,549,630,840,036,330,280,651,394,474,
235,460,215,660,110,330,454,155,773,258,390,609,695,975,265,407,780,461,415,
574,200,537,459,092,856,161,318,950,687,926,948,445,152,452,589,147,874,875,
560,336,699,096,090,415,575,847,801,565,034,031,666,123,747,799,539,916,114,
079,808,021,524,278,711,119,899,185,692,394,553,026,491,652,116,450,010,858,
032,302,921,065,858,977,577,709,298,863,678,174,100,372,981,259,718,166,185,
635,907,313,479,273,451,323,762,884,313,759,639,205,821,083,605,665,943,037,
113,047,735,585,459,667,148,780,921,963,645,317,074,698,300,847,041,271,971,
942,431,865,410,200,693,586,002,456,007,193,267,271,308,865,245,555,863,238,
098,812,997,206,755,706,343,394,578,131,846,643,433,932,589,601,843,700,693,
174,421,940,429,740,965,629,435,069,967,513,159,753,393,467,243,108,331,834,
365,237,638,763,046,949,359,493,918,318,020,661,380,206,644,779,160,271,820,
786,621,592,138,384,261,893,297,852,159,597,429,256,604,193,179,159,347,613,
936,468,235,925,014,724,176,521,323,580,156,287,163,663,697,936,830,574,071,
721,790,982,555,445,359,123,546,727,752,407,779,582,440,771,235,841,788,571,
124,376,647,753,224,627,231,265,064,542,616,245,576,625,394,060,989,038,771,
846,728,560,234,190,760,790,014,762,896,817,596,153,606,553,151,632,566,993,
689,377,468,775,691,661,111,394,204,464,244,442,479,314,864,145,010,445,047,
986,198,544,735,382,716,913,569,969,717,418,614,467,813,258,999,000,071,322,
984,777,820,831,949,570,500,693,994,962,191,882,200,470,966,045,273,241,704,
535,730,572,413,368,293,369,714,410,786,201,620,867,227,586,300,242,954,610,
324,587,637,204,972,711,719,995,167,989,572,418,377,527,461,222,986,598,294,
667,532,361,033,443,858,369,563,700,832,309,147,570,212,618,691,283,295,775,
369,169,633,406,582,819,661,691,307,850,071,771,155,177,748,355,547,194,058,
841,813,149,592,273,245,000,896,408,081,199,982,096,972,364,701,540,827,857,
900,655,088,171,703,081,947,151,127,143,806,682,117,565,896,848,829,054,240,
973,654,636,275,056,717,565,042,526,259,117,413,861,038,634,422,097,465,691,
116,315,986,466,972,909,482,892,241,517,646,817,897,810,637,336,301,765,890,
420,284,076,037,108,732,544,343,749,275,908,602,540,512,032,241,446,547,209,
290,304,086,569,917,685,619,052,541,225,446,870,940,177,448,493,228,141,624,
293,124,753,113,064,992,442,742,256,491,565,785,670,386,585,596,818,957,789,
756,806,570,713,228,446,668,115,939,231,646,930,612,789,513,616,470,873,531,
394,859,049,028,249,276,652,286,553,060,468,389,472,532,343,241,471,285,517,
547,158,615,841,389,201,142,010,540,013,597,726,155,359,231,960,427,402,311,
505,427,047,594,526,944,823,418,244,188,339,105,517,518,313,332,231,731,721,
284,329,785,783,520,690,835,411,236,717,734,203,135,002,533,547,849,585,797,
248,447,478,226,772,885,407,705,010,483,229,169,928,511,667,880,572,483,882,
174,899,968,093,333,671,639,938,546,157,451,513,619,124,884,635,912,092,414,
080,739,863,194,619,259,282,435,654,183,684,585,595,970,076,626,566,011,083,
922,329,424,264,107,966,403,847,470,279,636,292,674,014,207,008,712,902,433,
208,215,216,375,138,967,158,581,741,162,862,633,304,364,938,865,693,192,135,
347,203,894,409,294,968,405,098,038,460,813,005,763,826,252,717,847,003,047,
751,865,724,500,098,562,340,664,288,075,297,678,242,836,416,719,953,548,365,
015,235,122,399,849,918,816,702,222,548,529,012,552,979,395,555,666,511,048,
886,897,671,640,920,822,264,096,310,579,831,042,755,088,980,787,456,021,364,
339,426,608,429,461,404,265,748,672,105,314,201,175,096,145,527,998,595,825,
794,404,112,563,481,970,998,362,201,781,327,922,154,494,637,196,789,608,662,
492,904,417,581,528,591,376,796,993,738,985,039,978,320,625,754,651,183,714,
700,190,653,951,724,961,106,037,634,279,143,641,083,444,365,265,160,414,490,
459,452,230,833,812,567,690,156,595,622,953,026,945,735,526,910,080,638,410,
774,524,930,172,189,172,724,929,248,703,137,390,235,096,611,277,198,687,008,
225,868,400,295,508,177,781,604,168,587,373,092,616,214,134,129,019,101,956,
110,579,488,171,459,719,804,757,062,714,512,876,145,756,074,630,796,590,606,
260,176,517,290,855,429,177,510,086,917,131,841,933,121,977,601,922,504,818,
562,104,164,689,464,331,886,871,116,230,180,748,741,721,303,778,027,243,877,
347,033,388,404,290,488,239,645,669,816,296,433,912,511,321,859,246,556,982,
077,086,449,870,908,270,978,882,082,300,904,356,809,163,943,505,813,421,965,
972,905,915,924,948,403,799,496,400,667,218,319,603,601,360,913,989,831,047,
449,328,115,335,517,868,218,764,999,167,906,474,072,361,768,343,681,556,957,
731,315,566,103,039,688,386,305,115,650,237,706,160,839,005,574,671,242,841,
876,721,215,500,330,008,065,489,287,733,254,182,626,150,018,251,867,793,543,
774,967,846,812,899,772,475,931,961,980,393,624,953,846,304,112,846,809,395,
325,918,430,850,058,612,442,266,900,477,700,493,254,758,897,482,455,795,631,
765,063,422,016,035,227,189,134,820,663,529,808,698,641,663,518,439,047,665,
763,553,072,412,029,580,342,363,407,072,131,028,761,397,002,290,726,485,960,
620,745,399,304,897,170,561,203,283,187,906,428,643,437,080,077,432,478,106,
594,984,187,817,102,112,996,049,258,987,378,587,719,218,175,202,542,055,413,
828,595,389,278,323,008,086,333,455,372,963,956,362,120,008,649,068,915,489,
545,657,438,735,244,598,173,600,486,717,557,144,724,926,007,619,536,108,369,
451,792,587,873,935,460,735,021,941,518,208,192,640,632,363,667,828,035,036,
474,765,415,834,593,899,689,769,078,404,608,991,360,441,665,930,712,086,841,
041,735,282,772,113,504,567,133,941,064,054,380,541,060,916,870,677,945,376,
031,841,623,399,215,125,669,188,340,835,915,177,508,143,788,949,753,487,601,
647,697,454,751,348,224,220,415,932,153,694,906,152,622,197,623,653,889,948,
634,242,116,072,812,571,886,220,678,718,286,406,691,090,124,414,629,442,508,
993,950,102,399,255,312,777,030,738,904,081,022,793,868,806,897,036,274,689,
899,742,465,905,459,482,821,335,928,005,282,780,585,671,631,554,998,392,510,
257,370,170,148,009,620,668,785,814,200,133,552,923,904,914,389,348,768,277,
434,410,559,522,977,545,861,835,269,192,807,255,220,239,900,848,500,981,543,
793,049,240,249,564,982,556,790,592,318,828,844,749,742,268,020,499,845,911,
101,172,531,366,435,254,056,381,961,250,893,791,639,521,561,854,076,935,787,
603,738,263,451,543,324,436,484,952,697,033,372,995,792,956,055,763,306,990,
230,584,502,001,685,458,071,676,365,374,813,403,602,671,063,094,189,402,686,
161,147,230,001,760,904,253,436,102,976,285,834,071,456,838,163,380,142,828,
293,805,647,759,589,011,910,412,859,485,433,174,532,363,003,553,972,892,012,
623,912,787,529,293,692,060,364,299,876,845,895,919,181,296,783,220,315,323,
320,538,281,979,222,035,417,637,050,840,340,884,466,346,267,958,838,348,675,
707,602,924,950,638,757,911,409,171,497,863,090,350,857,538,628,023,970,811,
120,470,490,415,348,021,245,078,488,397,362,622,712,081,111,483,351,671,233,
471,990,621,154,511,112,718,120,084,790,839,806,798,987,366,458,281,696,541,
625,792,093,136,076,905,067,411,185,397,040,190,234,859,907,102,848,351,465,
563,171,757,887,005,807,615,848,994,856,256,006,026,477,668,941,585,214,423,
943,192,185,989,632,903,388,405,788,041,156,880,714,062,785,536,151,443,097,
525,988,235,153,192,601,298,120,871,659,040,628,019,372,966,752,657,022,848,
529,339,215,455,517,147,991,781,510,793,703,306,931,942,047,769,100,045,541,
997,976,454,685,634,166,797,513,388,234,073,918,795,557,427,082,358,622,091,
111,439,041,830,882,296,370,264,176,693,553,828,400,934,957,338,764,224,145,
579,078,296,065,596,171,268,487,812,753,313,716,799,995,853,301,735,783,792,
695,613,800,909,965,900,290,865,051,672,647,551,809,432,594,373,770,547,083,
260,408,801,114,652,965,951,033,620,750,546,457,134,648,239,808,745,486,497,
781,904,824,135,522,904,208,807,205,923,246,520,476,261,876,265,252,504,339,
371,401,014,770,572,303,736,743,199,449,352,715,371,303,002,277,397,726,852,
701,328,132,122,910,622,390,101,777,734,900,630,938,663,394,371,566,058,489,
486,440,885,493,595,013,767,323,373,845,737,052,213,763,976,991,281,351,774,
416,118,840,200,875,149,878,508,231,347,719,664,078,358,304,658,634,447,992,
121,317,625,028,862,691,593,833,708,212,455,641,295,712,771,404,855,994,527,
247,453,523,966,481,468,825,146,898,581,555,696,867,840,558,616,851,305,881,
016,477,728,174,259,055,044,793,627,829,759,439,870,230,107,258,536,680,804,
285,734,779,804,778,023,590,908,702,205,482,093,487,423,037,957,900,022,006,
923,398,597,593,150,003,003,934,472,919,521,357,522,040,990,694,526,414,834,
247,841,172,759,513,075,080,019,035,752,972,699,566,061,887,037,426,698,085,
698,640,905,796,082,584,516,047,135,576,164,655,140,652,146,703,144,237,382,
945,984,957,532,134,976,639,765,961,827,481,052,926,095,024,291,293,782,741,
457,985,793,108,472,227,300,125,760,769,762,151,687,875,909,425,610,300,056,
447,540,724,608,107,905,561,581,080,034,252,038,673,885,906,343,388,071,497,
602,490,689,555,488,322,956,527,935,547,223,979,536,223,000,197,212,259,966,
594,035,601,167,766,876,051,082,464,434,853,737,186,197,613,236,966,235,854,
914,567,046,258,334,514,900,578,062,910,302,741,227,893,615,266,919,481,425,
702,636,959,509,491,947,637,934,718,690,532,586,403,037,470,362,536,581,117,
162,689,581,040,237,819,618,291,202,388,138,664,546,918,964,607,532,603,608,
687,344,776,416,211,248,961,771,982,773,276,336,159,262,296,609,532,273,856,
582,643,302,620,647,408,013,743,001,288,253,771,683,674,288,192,121,144,064,
921,296,402,604,810,582,110,309,726,450,327,051,818,021,325,562,353,493,142,
419,849,003,241,480,823,740,064,720,806,900,944,534,195,705,672,204,938,221,
384,906,553,756,153,008,666,486,012,672,290,831,574,555,648,065,301,997,947,
211,031,194,140,164,551,632,215,095,394,288,755,831,778,921,447,541,955,813,
664,649,666,645,573,112,274,575,899,575,969,392,368,383,069,043,845,298,943,
364,912,688,537,149,172,109,088,994,785,166,927,572,835,861,206,034,523,291,
756,775,655,322,674,777,240,990,034,323,466,104,530,541,933,538,651,867,857,
265,793,333,866,157,280,787,035,215,465,427,457,872,590,631,511,453,782,314,
475,684,859,546,655,974,195,167,500,305,871,731,136,607,849,629,233,201,748,
638,225,242,011,875,181,741,717,846,832,370,776,269,451,572,316,759,063,358,
393,697,679,536,458,014,369,848,486,799,991,667,403,460,509,571,598,327,599,
274,912,608,097,092,527,056,586,260,526,211,551,991,810,666,537,094,433,355,
135,213,019,873,505,114,500,951,970,523,908,054,584,425,864,717,319,129,668,
987,476,580,238,311,049,467,721,432,919,781,778,400,190,169,887,866,682,137,
570,271,083,923,523,895,080,467,556,362,413,823,643,383,659,370,945,975,626,
719,018,248,879,380,091,823,633,225,360,843,256,433,902,102,551,555,056,573,
165,208,035,056,816,703,622,856,822,437,864,658,355,011,762,548,344,020,678,
104,580,209,097,667,147,773,356,705,543,005,829,085,312,010,857,618,164,676,
337,180,211,909,577,295,533,491,213,565,430,742,365,524,432,543,585,785,276,
856,996,550,758,896,853,274,976,182,203,335,600,908,720,963,521,203,816,557,
381,740,954,912,863,775,235,959,606,811,053,558,532,659,082,462,928,200,634,
790,130,063,464,416,228,859,689,518,955,151,190,518,110,897,814,821,403,090,
048,062,332,253,970,071,232,733,382,010,032,053,772,061,007,548,667,543,581,
433,710,261,483,752,897,842,305,242,842,955,907,938,714,102,488,739,316,465,
584,085,632,870,787,773,671,657,624,350,999,305,840,806,473,890,236,148,690,
625,737,344,818,284,397,796,541,196,762,016,940,078,480,869,656,051,319,628,
431,902,029,501,376,295,163,031,518,249,789,021,354,372,286,377,533,457,103,
998,578,130,281,161,688,209,156,894,119,632,057,696,792,141,060,647,147,732,
193,148,625,234,137,645,807,104,112,513,880,125,884,082,904,493,311,505,103,
868,077,661,189,297,850,990,112,190,792,619,167,042,630,238,472,557,665,477,
153,085,263,857,720,593,720,741,994,183,281,175,224,102,031,688,834,789,955,
989,283,306,026,942,567,087,432,610,460,497,752,428,437,713,750,427,868,755,
795,383,694,330,665,204,382,626,412,009,554,676,889,166,736,274,283,397,135,
768,127,485,909,480,619,345,044,516,743,183,536,070,692,351,355,771,194,285,
897,815,789,280,784,783,576,354,887,180,056,473,880,344,076,223,605,973,462,
161,366,760,544,147,803,489,044,735,866,771,435,604,476,473,222,550,995,734,
971,946,969,447,038,780,519,822,745,635,421,808,103,492,368,518,643,214,579,
914,710,767,550,852,264,277,854,823,366,059,798,161,288,212,653,795,015,251,
216,600,774,619,668,854,976,313,916,595,948,057,707,726,087,929,530,766,594,
875,271,977,409,691,231,493,723,558,090,511,317,730,294,767,145,927,775,110,
462,967,491,400,271,922,586,407,209,565,685,292,831,759,859,261,256,574,356,
188,578,214,342,644,856,577,263,695,956,534,262,887,342,686,105,120,834,484,
414,295,176,878,266,856,682,543,614,221,004,711,120,618,075,728,028,846,369,
177,080,031,154,813,535,856,927,283,670,862,977,673,949,641,293,138,242,281,
384,570,295,330,716,434,407,549,975,441,441,948,674,442,672,280,652,119,742,
816,145,492,068,261,572,508,163,303,194,029,169,960,786,507,204,779,435,991,
905,986,629,223,050,301,533,228,575,283,642,098,105,263,262,914,814,455,927,
265,806,804,510,102,413,790,314,470,702,860,025,157,200,265,643,511,309,382,
282,509,310,377,484,902,139,409,688,500,104,658,928,174,690,089,036,094,183,
958,926,514,619,756,953,450,618,211,734,381,625,146,080,832,183,716,688,183,
698,731,081,518,914,756,053,851,707,480,269,183,045,132,460,084,737,393,112,
812,068,001,423,919,965,763,173,603,631,214,059,097,495,370,256,557,693,843,
629,926,453,640,114,654,326,267,446,527,981,700,951,611,197,708,565,390,924,
175,144,520,752,662,408,558,558,782,796,914,689,250,843,321,484,151,798,478,
727,561,231,671,770,977,833,416,363,732,257,809,170,098,689,048,846,803,832,
734,350,202,453,489,684,622,129,024,887,550,544,492,137,635,414,957,302,159,
729,859,869,582,964,422,383,455,586,261,019,137,346,659,351,077,472,585,583,
066,025,639,436,908,332,514,156,451,555,095,768,796,866,492,539,662,933,422,
440,738,247,593,971,451,595,374,487,719,852,534,237,575,057,296,791,917,511,
618,124,769,330,280,129,146,499,285,856,351,088,916,019,424,770,914,947,233,
600,275,811,014,285,392,545,031,895,577,515,481,595,519,180,787,493,292,962,
737,520,470,277,353,695,888,752,375,789,891,776,060,378,621,357,518,449,627,
169,311,244,742,337,407,768,488,890,619,541,214,947,576,687,071,595,548,712,
272,831,363,326,714,341,596,274,868,061,936,746,503,803,033,133,801,283,026,
147,467,867,032,073,160,630,452,262,133,994,086,694,356,422,659,037,360,509,
762,576,493,208,821,646,273,231,502,523,047,581,463,571,487,784,049,239,954,
005,776,834,667,348,148,271,272,640,222,542,492,724,477,482,737,364,417,121,
771,638,121,765,678,048,785,095,229,501,700,488,221,838,735,010,646,166,921,
710,965,345,890,101,468,990,986,497,400,582,170,599,871,502,403,929,589,116,
916,923,810,840,192,664,857,383,735,703,021,889,537,717,800,967,887,233,649,
910,694,995,245,650,027,169,950,966,188,859,582,510,896,575,218,286,383,862,
648,014,009,694,372,770,234,995,223,761,043,085,016,177,840,889,669,208,988,
140,910,434,387,882,612,533,083,241,791,145,118,260,093,788,412,888,589,994,
858,331,195,489,600,071,539,977,318,257,996,476,323,665,884,180,649,905,397,
681,091,679,147,411,998,225,209,254,467,862,142,766,038,614,176,308,859,894,
580,093,702,843,840,700,247,777,624,310,625,792,712,347,308,494,426,055,777,
505,968,392,126,662,496,707,842,340,279,766,414,877,002,903,738,547,670,871,
351,730,013,230,661,734,826,965,325,192,938,820,340,174,414,536,334,099,555,
786,665,674,389,052,814,274,593,285,845,487,944,562,000,848,956,046,893,435,
648,532,124,637,021,148,841,391,039,721,785,148,166,221,108,529,394,645,594,
449,127,369,931,256,850,373,039,477,850,152,449,660,701,101,628,029,111,357,
515,828,015,694,652,859,583,507,996,282,295,775,317,960,532,104,963,870,663,
230,547,113,766,748,679,268,278,347,320,168,849,719,931,623,374,305,063,656,
560,814,885,632,942,438,451,033,726,394,256,781,248,244,270,393,934,192,349,
834,722,979,453,678,154,086,975,361,715,814,223,456,430,305,889,329,644,572,
229,252,503,725,427,655,248,484,379,710,443,927,831,110,260,350,767,099,317,
026,424,739,197,981,769,460,049,635,522,779,054,775,799,670,902,662,634,381,
947,034,966,343,292,364,535,104,714,359,663,579,874,331,890,600,492,433,963,
023,290,807,364,853,716,302,806,933,249,726,500,468,019,566,338,387,598,235,
336,459,711,701,102,219,068,753,683,708,655,062,371,015,872,402,722,629,422,
852,812,386,863,881,869,518,149,902,868,507,762,582,451,010,096,665,031,269,
466,078,123,504,169,378,888,812,221,609,082,462,779,627,109,898,299,798,995,
096,464,519,151,149,170,653,641,368,018,838,132,229,103,320,351,658,982,243,
779,384,516,513,278,192,539,780,266,361,172,394,611,980,985,752,668,444,157,
251,455,221,498,313,824,503,444,267,468,291,775,130,166,900,617,892,297,120,
959,789,992,338,684,245,836,655,029,991,944,849,607,422,459,878,028,591,504,
747,209,624,224,808,335,566,506,676,183,785,933,970,940,711,280,117,135,623,
012,205,519,484,492,379,495,291,842,660,610,791,041,345,875,859,789,170,622,
467,951,803,338,325,123,475,478,243,567,628,230,536,869,382,576,731,126,634,
977,454,348,208,315,029,753,280,435,862,813,683,317,551,821,124,509,007,827,
263,745,562,071,312,813,606,925,852,732,646,717,162,583,044,889,149,554,396,
562,421,494,390,618,253,774,504,381,380,812,208,449,228,548,921,313,327,276,
154,315,684,607,268,346,583,956,128,881,470,351,817,682,257,893,847,768,207,
077,882,624,992,615,556,621,602,984,113,949,840,428,464,488,853,040,428,936,
966,890,642,623,219,604,075,015,988,458,686,428,790,745,116,901,378,058,549,
791,141,772,272,700,282,933,551,989,090,962,307,794,788,008,368,651,637,114,
357,028,543,579,468,320,516,989,565,795,924,882,272,660,402,042,921,137,017,
795,700,007,761,992,478,698,107,599,502,996,777,000,174,860,252,637,691,873,
383,323,930,332,263,588,346,285,844,553,126,055,218,809,962,319,794,811,668,
647,174,834,463,505,960,328,773,220,042,838,597,840,389,224,273,989,406,203,
572,010,534,794,049,583,939,339,059,240,249,854,441,043,322,611,665,313,539,
779,956,127,482,846,828,534,637,543,423,644,093,580,189,728,075,650,322,837,
610,139,853,684,147,735,348,539,319,512,643,777,787,368,602,708,491,660,622,
332,882,041,130,584,789,653,221,995,425,160,278,349,402,466,695,796,566,450,
614,791,686,320,267,567,771,744,259,189,792,178,000,928,734,635,907,526,082,
020,125,149,017,309,500,691,255,228,875,415,398,453,934,091,932,163,956,524,
938,657,734,065,879,830,217,478,889,235,906,699,590,648,475,067,185,595,540,
477,417,691,613,035,215,327,447,243,869,409,996,443,002,928,463,192,424,209,
858,512,162,263,924,307,599,164,637,444,765,882,666,279,307,410,088,427,127,
311,748,096,112,322,147,508,603,258,505,210,741,000,934,736,187,023,969,922,
214,170,484,249,551,234,728,021,101,316,271,566,126,203,516,194,967,247,473,
730,798,743,794,979,632,554,443,888,328,113,787,641,559,685,335,350,001,783,
039,624,151,978,109,395,213,133,450,285,760,363,168,479,451,660,074,343,362,
559,652,121,082,483,080,792,038,737,864,249,297,991,615,745,890,664,881,572,
790,634,817,126,459,716,189,079,418,498,701,000,778,465,647,615,193,292,575,
415,222,285,365,009,820,854,437,052,115,312,861,193,334,890,202,090,866,432,
570,501,744,883,199,848,711,567,575,066,051,241,916,476,835,329,553,476,646,
750,340,693,640,167,768,413,346,378,600,452,332,033,576,954,278,569,223,023,
375,143,691,552,891,485,004,676,550,440,819,310,237,881,968,285,305,141,369,
748,984,457,227,733,194,153,087,390,241,098,971,989,408,499,306,941,926,083,
423,809,960,433,438,936,247,606,646,724,266,909,956,992,185,854,751,736,601,
109,366,299,517,564,993,604,672,542,433,940,392,284,481,216,676,137,132,559,
567,039,279,375,266,207,827,431,568,385,768,698,872,485,301,959,401,056,664,
350,677,298,649,495,419,371,368,593,833,799,182,412,746,710,630,494,033,931,
262,351,468,166,343,803,284,997,444,143,215,577,916,186,922,963,415,541,122,
449,817,015,007,724,148,881,051,655,606,202,520,895,181,136,363,567,125,999,
176,272,139,193,975,014,232,901,344,150,061,004,698,593,920,366,953,582,181,
140,224,993,916,292,560,808,325,797,774,136,957,714,079,260,781,376,302,323,
473,783,289,797,208,998,292,336,652,169,222,318,500,061,370,521,798,670,934,
522,176,723,232,824,783,523,868,071,802,609,945,096,417,260,584,037,586,032,
369,443,757,664,533,402,003,417,606,425,393,255,188,881,588,868,422,849,256,
473,690,461,352,760,935,927,269,508,050,478,373,928,615,121,170,158,843,176,
032,016,102,677,524,205,302,274,863,241,021,478,446,924,683,430,985,471,434,
683,582,343,856,192,000,853,166,412,217,781,841,237,827,667,880,858,358,919,
912,356,035,240,300,151,657,588,174,696,990,984,404,756,383,991,307,534,033,
502,657,142,051,801,029,301,969,852,354,645,807,780,528,205,165,670,492,697,
009,720,033,170,938,745,070,848,089,060,182,419,716,673,128,994,348,005,013,
488,151,662,829,725,600,707,188,918,538,107,712,853,070,377,204,090,846,879,
526,546,504,433,568,767,364,396,226,280,109,266,661,348,729,727,516,702,173,
571,939,468,660,824,332,107,328,978,070,830,893,293,833,447,184,410,543,375,
819,791,066,367,788,811,649,038,272,854,424,247,882,755,544,276,431,406,414,
093,784,418,140,139,636,407,961,404,156,532,112,846,641,493,496,417,068,008,
655,025,542,076,777,310,219,666,757,815,246,446,763,946,856,444,264,229,541,
927,805,563,975,776,708,927,751,028,700,093,804,501,290,452,782,199,673,590,
297,816,515,193,378,563,251,070,380,866,478,713,471,895,043,289,309,830,760,
491,705,680,978,456,508,982,825,833,526,399,954,266,304,959,273,583,307,788,
992,395,286,951,908,008,801,510,564,219,855,998,179,348,235,131,147,311,506,
828,937,264,685,461,716,559,673,652,746,890,890,923,119,124,400,051,771,658,
758,001,460,022,063,261,167,212,815,032,730,190,088,669,333,409,900,066,105,
474,041,035,013,409,169,760,934,627,789,678,743,862,040,694,349,513,687,335,
435,305,687,859,225,966,967,076,958,225,117,857,417,903,334,093,344,744,466,
296,860,800,468,211,134,192,770,713,140,981,009,229,879,393,079,193,167,246,
358,175,742,677,474,911,646,002,088,444,829,530,469,195,505,609,585,875,751,
166,232,225,341,072,788,738,771,442,052,349,892,113,442,245,041,338,965,444,
908,909,923,406,594,148,497,214,723,946,425,329,533,322,793,068,443,032,196,
161,183,862,662,923,203,115,878,434,825,510,401,531,061,968,832,073,282,230,
798,775,124,713,899,880,026,027,252,569,599,286,078,946,644,679,341,491,361,
133,026,666,107,956,639,256,371,977,833,944,363,804,342,312,734,116,504,915,
148,182,296,861,830,125,328,285,728,018,835,068,147,867,640,074,542,595,015,
793,886,908,560,122,478,796,432,236,760,622,606,327,025,624,824,915,592,168,
131,443,927,496,083,558,540,220,770,920,761,691,695,725,719,464,057,362,882,
667,715,408,408,888,591,803,210,125,288,357,781,019,403,868,275,787,612,218,
149,265,560,110,294,714,928,045,042,572,900,824,381,154,171,945,535,903,038,
101,231,024,662,582,619,788,716,668,780,427,306,666,022,805,113,555,658,601,
512,979,591,908,405,772,686,663,426,563,417,421,039,595,587,658,332,579,396,
625,269,630,011,036,444,699,944,439,763,496,605,041,722,898,509,492,089,502,
553,839,095,403,712,973,834,147,810,609,007,677,830,970,351,145,159,489,880,
631,404,741,389,121,095,411,666,336,440,488,804,517,174,549,571,984,518,114,
765,919,393,607,477,058,311,460,390,547,442,024,880,273,312,844,750,134,805,
685,287,389,755,081,641,485,653,191,350,732,526,965,037,668,380,825,507,488,
086,708,935,533,692,247,180,832,017,954,142,086,084,911,345,693,176,018,469,
631,590,948,117,556,830,648,300,106,508,605,113,306,059,180,207,970,937,989,
127,736,363,991,983,840,654,658,520,639,417,907,404,332,367,799,997,369,678,
045,209,808,692,172,416,099,058,847,220,798,215,676,292,269,728,096,852,332,
001,383,180,443,752,558,236,178,613,130,566,308,430,507,364,999,139,172,958,
785,196,692,258,645,264,470,569,563,133,138,334,120,891,938,011,878,306,791,
879,867,012,511,675,553,733,342,235,683,344,997,620,691,626,374,939,570,492,
123,825,575,881,152,213,168,282,111,218,814,448,605,730,243,862,335,192,073,
625,601,139,591,194,137,164,278,803,065,587,020,512,047,666,085,147,649,445,
116,538,702,229,773,537,089,066,909,229,699,475,395,757,132,247,865,226,945,
423,480,835,790,666,918,936,193,860,806,104,500,171,359,302,322,092,740,852,
190,524,059,458,156,480,162,955,976,462,669,987,826,644,332,960,362,460,081,
982,952,638,416,918,836,179,511,237,543,615,056,482,563,414,771,348,954,734,
968,613,981,963,958,582,911,466,018,217,814,848,128,579,713,491,344,784,056,
286,984,992,082,121,890,017,442,884,527,854,388,986,019,538,572,626,048,517,
091,177,535,594,281,072,441,422,452,572,857,096,079,637,901,739,962,691,740,
017,386,994,647,333,089,652,520,325,611,369,282,100,475,404,580,979,657,969,
623,505,995,335,745,454,045,651,691,033,412,914,008,444,062,353,302,588,865,
405,717,787,119,023,734,875,763,444,309,169,390,666,242,331,094,114,312,731,
885,036,511,510,177,252,710,763,696,775,735,349,116,840,385,810,811,428,238,
928,322,846,658,293,688,099,132,164,346,419,536,855,411,602,469,672,213,471,
621,023,801,103,457,738,478,951,616,159,159,512,627,492,544,459,459,552,098,
952,140,574,238,681,480,707,391,758,119,741,489,761,837,643,100,689,479,249,
909,307,882,795,864,842,426,223,280,902,900,772,726,180,095,877,039,119,521,
947,400,425,146,189,160,233,563,767,913,675,582,531,206,884,414,115,512,789,
019,713,677,645,214,417,883,978,430,557,333,031,892,100,443,098,210,850,652,
306,245,194,396,728,473,126,793,540,945,006,128,115,725,729,303,330,911,292,
057,008,719,075,563,465,845,099,307,837,377,197,876,640,738,724,496,174,202,
996,733,140,016,307,773,837,959,595,741,316,219,365,455,608,448,254,291,947,
135,302,307,403,613,818,369,822,470,008,344,931,888,427,866,433,641,314,245,
787,539,208,218,974,858,317,898,014,333,181,607,479,792,547,468,413,534,510,
764,382,734,223,878,452,555,208,630,460,458,778,653,103,423,681,624,846,093,
212,149,568,006,449,936,499,313,220,012,175,348,230,396,531,733,876,637,346,
092,283,380,650,943,046,008,717,394,506,639,474,028,393,011,256,506,513,025,
266,837,959,541,489,079,373,659,597,465,397,593,060,220,391,944,677,218,270,
491,531,836,486,403,330,451,927,543,795,864,279,468,458,322,472,945,092,318,
436,759,632,829,690,155,666,585,364,505,034,414,861,764,876,291,902,841,262,
655,336,348,567,959,612,742,490,729,786,855,172,615,352,789,034,626,147,054,
050,099,568,631,720,780,455,158,255,635,629,925,849,245,686,043,315,118,125,
837,920,435,435,771,817,825,265,350,146,059,797,670,266,218,544,013,363,903,
789,373,557,241,012,636,325,023,692,478,197,316,711,358,210,877,876,262,539,
221,387,202,855,146,948,289,770,024,996,042,799,535,977,825,845,647,975,554,
820,126,188,412,925,212,895,582,563,368,744,635,689,895,019,482,762,235,318,
315,612,413,579,873,284,866,825,436,842,511,311,426,462,817,955,522,734,634,
509,011,696,257,557,517,715,886,140,188,321,363,881,310,269,556,879,969,940,
922,199,455,124,074,580,818,600,125,142,086,671,649,986,804,314,858,639,055,
583,835,372,815,317,284,235,365,969,704,703,586,543,981,128,687,971,955,560,
833,608,473,589,144,931,979,235,967,575,309,951,769,387,392,973,400,427,195,
151,579,987,644,152,034,937,694,981,491,626,434,525,625,510,888,863,008,460,
075,386,776,967,731,793,235,999,215,836,872,642,082,764,388,419,465,921,713,
791,987,225,236,222,292,315,293,740,487,468,117,619,325,648,653,730,501,459,
919,195,857,010,150,090,822,063,589,255,983,265,983,310,727,956,593,240,038,
548,874,505,535,200,365,198,465,401,347,022,630,832,659,754,039,635,358,497,
323,970,830,034,526,317,538,146,464,831,020,456,840,221,186,862,722,025,675,
670,505,704,797,457,519,156,795,873,107,347,315,112,345,377,797,530,773,989,
360,061,356,855,233,550,972,792,673,968,279,582,839,322,008,341,606,920,162,
944,559,847,712,399,676,832,046,653,332,691,990,439,703,479,378,865,276,973,
973,736,919,950,217,608,507,057,034,257,094,435,874,453,918,952,816,213,726,
515,684,162,050,830,315,188,956,144,692,397,039,089,508,916,894,119,687,098,
639,157,988,594,308,989,371,559,459,493,087,405,343,968,325,272,375,013,882,
602,768,035,076,449,504,707,991,944,022,540,824,375,708,375,902,676,805,087,
310,014,370,106,324,771,209,097,513,309,401,500,258,967,349,845,861,570,911,
618,470,592,098,817,823,234,580,646,084,494,086,638,540,795,544,798,042,105,
839,553,231,352,579,150,277,274,941,435,973,503,853,700,004,300,118,968,680,
550,893,553,642,383,533,515,607,832,930,147,129,304,403,407,617,453,482,820,
779,826,017,825,786,540,136,944,027,929,818,538,888,930,223,313,677,479,289,
957,631,646,938,118,185,351,038,840,171,272,487,922,750,858,240,360,673,813,
602,318,358,014,173,532,736,392,488,459,811,381,270,420,666,999,601,634,812,
306,825,839,908,286,403,183,342,886,816,182,763,065,338,526,392,050,657,862,
163,608,234,630,449,120,150,128,710,618,527,533,803,861,234,144,931,684,088,
894,861,318,405,238,269,758,123,341,165,858,532,336,009,687,685,815,658,901,
692,985,267,560,893,366,909,358,833,094,018,701,760,634,023,972,544,556,338,
725,828,616,407,431,325,829,529,910,839,892,353,805,443,440,005,637,516,895,
602,956,808,244,128,871,977,456,946,392,590,206,081,747,547,753,798,061,155,
606,669,526,486,738,991,131,128,928,329,350,458,085,396,715,201,784,427,740,
373,702,289,592,026,802,390,318,515,995,596,716,141,606,367,212,925,872,253,
023,450,585,150,198,421,420,006,201,015,199,032,681,024,399,679,787,868,375,
504,025,549,594,756,924,835,977,533,026,959,089,777,760,076,890,168,112,164,
333,693,663,463,246,446,430,726,449,010,335,521,784,303,272,104,893,546,638,
184,771,743,173,055,958,381,644,374,699,869,536,820,091,989,818,902,436,351,
121,888,654,864,473,555,995,433,534,802,962,587,349,831,354,470,070,180,923,
321,903,262,869,223,091,948,449,299,636,465,061,098,445,556,751,727,092,144,
305,663,748,962,717,852,376,842,928,140,740,373,969,321,592,889,885,046,183,
727,831,053,336,060,118,668,987,943,376,938,582,137,451,375,003,376,061,600,
730,488,800,182,852,097,365,338,948,637,646,125,082,160,576,417,082,715,363,
438,826,164,908,823,695,569,125,248,397,266,097,370,752,925,463,693,654,123,
408,287,690,996,659,391,104,334,456,864,667,222,404,113,678,020,561,257,257,
303,248,075,660,804,408,415,733,388,340,726,774,841,290,096,362,728,675,436,
511,786,610,298,981,316,503,167,858,597,399,453,167,699,625,066,172,136,863,
288,196,581,167,035,317,920,412,705,186,120,883,878,811,630,851,810,843,185,
037,943,968,385,114,290,392,800,941,487,581,873,704,573,841,054,788,074,235,
644,286,965,100,205,500,647,993,515,768,940,947,583,724,035,724,985,157,761,
388,830,470,293,363,829,406,062,391,641,021,624,082,046,785,347,040,284,919,
792,727,805,254,267,179,648,642,343,022,497,806,412,079,385,829,053,760,411,
405,763,515,777,651,100,430,435,967,454,969,612,257,207,189,795,126,454,886,
441,021,202,189,345,987,673,792,868,632,964,470,189,768,999,453,125,122,976,
203,078,353,831,583,684,439,786,621,105,847,411,349,469,335,327,999,167,267,
633,291,119,865,656,491,540,218,784,664,992,496,748,152,954,233,474,561,715,
425,405,726,480,506,144,240,039,495,717,073,123,934,909,572,012,367,208,619,
962,958,843,471,418,304,579,301,335,738,373,061,296,312,855,348,866,181,974,
099,957,280,756,137,061,117,959,860,700,254,380,077,926,204,172,551,148,081,
549,322,240,726,230,610,081,513,373,741,070,216,138,951,545,519,362,903,673,
790,480,257,734,613,010,123,666,768,842,743,049,068,200,358,374,846,927,694,
217,170,983,782,243,794,939,705,665,120,172,549,654,469,527,743,375,369,205,
864,971,738,282,794,962,132,293,806,470,083,077,895,285,931,927,280,427,650,
158,282,056,890,181,855,410,274,032,870,922,873,626,129,151,337,706,008,278,
327,970,649,430,281,207,779,328,005,190,067,739,208,716,029,454,425,141,714,
682,518,070,795,944,919,665,409,656,737,749,242,188,008,291,240,692,569,211,
172,601,974,224,469,207,803,814,523,897,215,172,808,218,236,538,777,749,521,
715,857,777,887,911,303,915,995,540,632,474,499,505,776,668,812,284,030,552,
413,754,960,461,199,595,420,372,493,920,029,745,603,003,604,152,032,504,827,
461,669,910,676,576,278,853,851,008,664,682,073,681,089,394,462,530,345,570,
263,144,698,516,232,748,259,503,748,102,434,977,734,096,931,532,801,547,009,
432,360,694,899,343,576,614,960,183,045,867,077,950,782,657,244,517,879,021,
860,089,614,844,301,201,553,068,743,364,337,719,026,781,766,641,832,030,355,
800,479,649,850,752,703,351,061,885,724,388,988,261,460,408,671,319,814,750,
880,749,031,036,951,158,598,106,555,466,736,816,381,740,468,354,671,653,687,
330,399,504,406,610,806,238,605,670,920,753,396,518,642,164,803,952,923,213,
604,219,868,847,997,723,544,318,171,802,207,057,077,284,720,856,851,882,900,
162,760,428,746,491,766,859,524,227,494,102,278,052,037,808,285,826,132,921,
492,364,275,818,579,969,555,134,580,303,100,394,925,469,319,490,909,379,439,
491,813,107,775,113,307,925,032,855,063,997,739,468,322,018,463,368,366,999,
042,980,782,178,394,520,743,816,588,193,060,405,230,806,919,327,932,086,204,
692,989,378,426,079,378,235,307,345,218,058,787,975,338,979,405,370,734,809,
105,690,701,283,112,783,253,317,763,472,620,088,992,514,217,992,109,592,886,
823,978,800,882,036,378,375,592,119,682,034,444,236,115,467,331,164,529,177,
022,557,272,934,623,648,164,143,469,720,182,955,185,618,975,775,697,217,123,
624,684,405,960,498,138,470,078,102,842,342,330,146,280,481,241,621,307,674,
476,258,028,915,241,921,197,305,930,741,249,042,482,255,914,882,569,524,444,
249,733,035,372,303,142,610,477,677,223,490,429,341,274,815,190,578,469,527,
763,106,029,148,858,625,150,980,638,257,818,062,451,341,240,562,847,274,370,
116,216,016,803,928,591,134,231,991,728,096,872,198,535,716,177,566,851,194,
509,875,817,070,318,694,617,760,396,830,899,717,228,246,877,530,060,760,702,
286,541,706,327,605,868,462,727,560,398,484,476,483,747,484,504,102,309,901,
766,803,878,541,308,081,279,262,252,631,659,234,102,178,934,092,017,361,524,
264,512,784,867,139,279,950,855,173,815,110,576,426,239,971,222,853,466,271,
177,456,433,035,488,739,690,631,081,130,525,965,370,648,744,093,945,385,922,
755,689,011,948,829,100,886,564,434,122,780,200,698,625,901,824,612,229,799,
729,389,013,339,663,433,612,644,615,803,293,884,119,778,747,604,383,665,376,
027,568,447,950,986,452,286,734,833,587,795,928,687,111,431,986,605,804,739,
373,582,311,068,803,531,891,428,978,446,777,037,585,365,390,988,767,102,772,
603,631,343,701,468,585,619,699,445,059,957,258,444,196,285,883,486,556,157,
117,790,228,812,931,514,994,232,042,854,044,914,992,433,983,845,446,295,239,
519,715,690,108,778,620,642,066,019,239,490,007,790,166,681,296,969,588,948,
878,294,574,638,810,426,442,211,763,984,262,234,890,551,003,112,317,265,882,
522,156,054,459,857,755,746,783,227,824,546,012,197,625,915,501,365,568,223,
210,060,875,037,591,583,085,721,694,735,739,689,977,422,037,434,458,718,517,
352,969,162,747,757,726,366,187,049,969,574,304,493,414,566,874,388,222,739,
444,011,941,748,031,745,658,371,668,137,719,657,655,481,083,614,366,095,918,
472,092,368,518,249,270,262,991,719,833,398,173,516,740,685,078,270,562,320,
494,179,887,369,900,414,372,066,354,358,219,908,267,161,987,479,673,857,756,
849,969,223,151,966,225,807,911,634,051,657,677,628,537,529,500,865,795,228,
410,580,641,451,908,275,284,605,378,370,528,219,471,881,149,502,573,092,868,
974,043,680,945,978,262,423,954,398,805,177,612,599,793,122,781,779,752,137,
960,973,285,290,488,058,227,065,581,793,196,184,465,091,020,445,504,857,792,
246,255,370,936,152,912,130,686,721,514,534,133,614,517,452,190,753,754,208,
093,193,982,028,320,038,047,072,737,638,705,414,467,170,228,769,293,886,286,
916,036,043,365,238,469,020,045,626,614,394,825,548,717,900,751,756,317,000,
572,801,292,896,508,175,513,013,121,943,898,805,944,232,513,418,716,094,167,
398,463,592,740,698,624,132,319,636,100,391,631,605,301,132,418,125,592,939,
606,170,369,481,589,756,564,341,194,688,835,426,287,488,776,092,880,480,223,
816,201,133,867,157,030,431,993,456,905,221,360,685,629,506,428,475,592,194,
499,641,668,557,057,457,796,806,639,620,803,798,124,221,761,860,722,765,224,
589,386,489,839,732,251,182,238,856,238,423,878,014,070,062,155,513,056,593,
954,125,199,878,278,370,690,258,043,736,235,428,822,053,919,157,675,408,941,
623,545,579,780,224,349,901,574,282,244,623,532,605,242,906,338,050,093,704,
721,150,894,809,272,015,015,708,931,236,483,135,181,131,830,726,023,154,327,
556,866,299,105,710,243,609,952,750,565,379,176,333,518,952,698,799,217,023,
306,523,526,876,549,850,469,476,858,326,351,711,935,232,537,921,634,685,945,
927,706,280,195,179,964,585,159,920,573,888,470,651,709,105,677,046,145,578,
020,876,214,917,927,730,207,724,279,282,841,206,786,631,390,882,467,907,611,
764,970,111,896,527,780,873,810,496,804,561,262,344,752,266,384,079,523,166,
314,424,963,569,107,425,094,150,238,031,544,408,926,416,729,108,914,766,765,
352,571,308,767,488,929,399,893,556,137,186,709,881,797,588,554,243,313,387,
493,490,895,647,283,904,695,092,565,247,199,048,414,458,865,417,582,381,804,
336,025,215,183,892,773,950,454,702,386,935,139,108,705,208,524,038,349,651,
970,146,201,645,428,758,800,994,391,224,299,485,482,997,507,892,119,795,792,
015,655,989,765,301,062,577,098,898,768,632,285,875,914,257,398,234,653,855,
432,653,127,421,625,261,361,147,864,392,994,584,492,021,405,415,752,586,072,
975,035,647,475,919,224,684,259,863,449,672,677,796,903,840,364,639,506,182,
648,968,098,417,866,184,547,513,139,886,153,262,289,970,670,374,713,445,048,
171,304,479,755,861,288,881,448,554,535,762,766,836,357,415,137,100,533,945,
634,569,645,173,622,238,424,024,157,420,614,748,083,225,702,535,856,289,884,
928,943,014,540,440,371,323,914,063,624,989,406,147,021,595,950,501,841,786,
767,859,096,438,865,293,547,362,385,740,029,040,447,143,994,846,573,169,913,
070,863,578,481,304,836,271,851,664,510,128,314,314,290,137,114,143,744,478,
722,298,320,762,790,963,332,724,902,976,767,220,681,992,471,822,655,912,776,
323,833,641,723,520,380,583,103,377,222,588,833,462,857,006,430,509,820,770,
377,529,291,296,703,497,882,141,020,426,773,978,134,578,892,073,946,484,473,
190,199,966,356,252,693,899,528,775,359,552,421,157,893,707,349,622,803,957,
022,530,979,861,178,039,349,785,444,227,699,144,678,814,314,913,091,810,992,
411,678,339,279,453,040,920,290,182,004,571,816,030,443,417,712,618,816,676,
778,560,122,793,637,077,665,400,568,813,694,032,042,360,296,295,144,901,018,
972,784,335,028,654,189,747,565,897,442,751,687,584,329,108,494,755,217,145,
539,227,392,932,595,701,206,469,695,627,705,154,851,539,008,993,703,081,326,
224,231,528,378,273,307,502,671,620,414,814,957,273,988,813,008,874,077,362,
010,041,342,520,008,989,738,243,139,348,896,364,169,892,406,166,040,095,590,
834,217,261,170,475,068,023,450,140,953,944,919,864,835,142,075,693,066,920,
373,840,533,009,320,911,254,329,007,534,111,847,401,827,390,009,170,759,010,
943,527,502,032,040,783,458,522,346,142,418,455,737,337,691,087,126,939,327,
226,823,547,288,787,871,315,767,400,277,650,104,704,477,405,973,200,365,254,
161,468,869,397,163,031,923,946,985,892,197,480,764,412,304,558,482,486,224,
431,629,511,877,335,971,482,391,644,819,036,865,116,202,408,127,159,539,394,
932,637,225,235,492,637,341,727,853,260,926,836,096,764,511,358,396,716,052,
434,932,098,726,931,978,027,277,689,732,699,624,347,861,676,517,917,048,151,
536,323,176,429,836,215,053,807,267,573,186,011,975,403,668,085,191,970,609,
687,914,757,821,186,467,303,232,413,729,149,526,912,940,670,956,854,902,141,
051,849,088,965,028,655,455,924,364,510,153,869,385,763,106,557,276,803,342,
702,686,511,390,931,713,864,400,626,612,959,975,012,768,629,776,529,824,234,
462,741,686,109,737,044,563,599,442,111,295,042,136,814,861,696,156,792,671,
805,499,864,380,758,705,822,992,357,895,532,087,343,608,549,432,491,281,880,
418,836,863,593,508,661,677,698,300,920,413,477,625,904,752,701,284,627,803,
221,595,614,432,195,921,043,171,577,116,405,952,537,897,708,466,318,491,994,
457,111,423,162,522,518,379,580,957,641,180,059,804,633,744,911,932,908,460,
299,944,703,923,077,077,203,337,576,352,971,254,021,188,028,712,736,599,933,
441,623,081,824,424,175,518,282,005,702,992,484,567,385,838,316,840,354,033,
618,288,968,369,163,495,960,279,800,302,266,079,856,634,234,869,605,420,344,
289,934,119,488,430,506,378,620,493,712,776,786,429,424,437,104,640,802,203,
066,875,146,149,764,273,548,427,584,682,407,500,637,059,285,071,797,622,342,
058,588,543,340,418,422,637,868,339,722,534,464,388,858,719,918,001,602,178,
465,466,634,813,337,388,883,084,981,789,962,012,782,575,531,522,429,874,072,
981,629,321,037,955,764,514,543,458,211,093,338,936,673,912,369,869,431,544,
489,987,402,033,230,840,680,004,344,227,540,576,056,264,670,878,437,137,250,
417,728,398,590,905,598,536,673,091,560,658,853,337,899,778,968,185,664,087,
986,816,219,331,597,227,260,141,765,558,076,880,273,517,846,740,201,331,129,
464,077,386,057,397,639,910,934,730,212,045,767,365,295,299,587,234,134,099,
466,310,946,797,473,958,356,628,760,219,700,240,017,109,347,961,151,886,363,
278,381,835,703,839,837,738,026,567,609,477,040,738,376,952,736,508,878,881,
658,605,510,677,328,891,751,097,644,762,693,512,010,153,898,311,158,797,378,
489,244,519,476,898,997,670,229,769,698,524,833,499,249,122,302,780,086,842,
241,257,313,362,643,408,866,801,319,570,147,474,057,366,607,672,629,138,692,
850,145,124,239,438,039,074,057,269,364,198,123,362,981,362,865,569,447,310,
016,204,132,736,749,656,686,363,870,223,419,690,999,187,008,699,816,323,941,
757,185,199,606,392,976,887,935,945,570,560,344,616,370,312,499,900,805,071,
244,398,301,265,889,384,907,871,898,222,204,738,421,262,616,942,560,615,326,
890,352,725,373,580,525,221,797,999,307,177,789,085,678,572,297,602,349,119,
056,171,854,015,292,373,234,833,874,904,028,379,362,546,680,625,571,428,258,
062,516,829,796,213,209,494,035,975,901,310,464,243,269,488,727,276,961,879,
754,001,938,038,084,537,034,596,661,962,146,154,715,811,366,092,252,418,021,
057,423,522,114,139,038,828,949,004,110,117,769,657,980,687,168,314,158,874,
574,370,473,346,909,211,043,152,783,524,557,773,257,988,005,671,816,028,246,
907,683,688,643,312,262,972,309,907,380,359,145,832,760,341,956,258,688,267,
625,512,144,836,123,543,549,781,188,168,481,931,796,802,415,755,847,691,316,
246,234,454,577,573,619,026,762,727,162,254,586,074,220,233,479,315,357,235,
617,312,128,252,966,461,475,055,586,685,337,543,624,673,601,977,790,941,662,
490,790,702,319,281,517,886,288,148,759,996,338,584,090,805,633,400,779,864,
545,898,679,543,792,155,417,024,551,080,511,598,503,177,310,751,772,912,453,
199,040,612,825,390,135,237,577,386,112,751,491,368,875,293,782,608,535,479,
507,713,889,794,001,426,998,000,825,559,254,432,049,220,626,402,915,279,705,
001,946,273,820,085,054,064,236,900,416,493,518,548,910,075,074,499,032,800,
405,434,240,710,471,025,642,874,796,869,932,820,382,754,956,967,258,954,280,
313,512,237,019,752,633,619,230,035,321,605,393,163,695,771,952,199,002,089,
620,347,783,448,061,042,054,117,794,011,990,929,689,951,425,548,504,070,078,
355,843,013,899,728,592,903,314,730,136,003,641,244,361,320,123,951,671,809,
926,207,455,146,745,363,382,717,402,389,372,136,513,498,591,014,113,580,038,
313,675,480,769,903,862,233,298,780,920,553,991,254,844,592,315,000,745,816,
898,924,028,433,816,471,910,612,063,868,101,747,097,611,145,348,451,542,487,
422,615,709,018,668,346,221,233,806,112,456,507,281,408,579,417,739,505,151,
099,651,428,969,836,194,694,557,561,118,368,510,493,567,864,757,098,225,059,
629,587,224,235,144,079,964,674,320,526,083,914,310,871,003,866,937,460,551,
330,674,255,755,152,622,462,288,245,913,367,414,192,872,706,268,840,044,188,
830,998,625,295,798,680,812,057,461,135,053,313,768,948,191,522,783,901,071,
157,095,155,837,050,192,508,866,884,230,394,612,802,536,773,202,702,782,828,
577,375,992,420,074,289,703,570,795,436,490,285,231,919,351,167,305,542,494,
777,076,646,811,277,216,564,670,104,825,921,936,253,141,921,795,484,610,866,
279,164,561,065,496,853,158,898,691,006,564,286,114,651,428,726,408,858,150,
021,124,030,805,748,523,717,114,760,444,828,515,488,159,330,717,268,555,440,
137,467,919,896,226,065,976,804,696,132,588,730,327,099,451,665,751,662,504,
326,018,794,894,227,157,026,656,274,070,156,490,843,653,584,209,061,363,638,
278,076,715,100,617,982,281,492,450,251,730,358,878,385,685,741,585,310,745,
402,032,646,383,113,722,319,459,194,306,460,422,004,313,605,768,248,829,903,
823,633,393,225,967,767,383,777,621,945,995,617,652,592,725,159,507,397,167,
846,397,343,921,043,926,045,008,045,904,730,455,844,014,591,198,973,806,262,
162,458,089,785,184,490,350,520,593,876,842,716,900,300,647,413,979,126,325,
089,270,815,901,407,122,157,114,047,148,207,497,513,133,651,739,064,284,849,
104,163,737,975,016,045,173,902,401,673,531,754,494,116,047,528,682,833,141,
157,595,981,389,103,690,294,188,415,546,020,631,228,932,287,707,713,918,419,
325,562,868,936,507,209,977,409,707,627,052,695,181,985,731,308,343,478,640,
074,801,080,999,988,666,968,701,339,179,820,232,964,314,459,898,809,858,332,
741,994,506,861,489,117,116,791,879,232,212,641,386,992,246,641,416,514,913,
572,113,626,982,901,792,492,107,390,301,322,121,790,066,993,317,825,323,274,
509,765,038,989,922,604,961,833,927,341,641,691,719,553,642,879,153,991,849,
072,926,007,801,629,809,575,913,213,394,587,596,135,449,589,853,372,910,632,
772,949,121,945,270,256,547,537,412,103,542,088,691,712,589,426,119,556,366,
624,935,648,532,674,839,523,845,887,168,977,882,484,481,410,005,035,180,880,
891,971,261,669,100,782,665,827,305,897,824,047,240,780,081,815,558,713,629,
638,468,579,351,985,135,567,654,569,398,134,009,781,621,791,922,349,464,320,
016,071,435,909,080,675,418,655,494,858,819,502,023,670,746,506,178,740,320,
755,729,847,292,737,995,780,034,571,281,152,436,634,239,779,669,649,535,705,
571,968,950,158,314,969,001,937,190,551,757,120,278,313,861,986,611,037,807,
053,698,715,142,419,917,144,519,626,701,048,290,178,601,344,785,009,320,494,
396,312,321,535,631,861,631,288,148,655,145,363,553,084,428,030,109,496,613,
589,460,684,228,347,964,915,853,418,247,195,431,650,736,769,918,097,341,994,
932,069,948,976,115,021,769,211,386,500,039,715,181,152,327,987,901,193,734,
872,548,110,226,478,853,760,790,880,791,907,223,645,632,160,210,029,952,865,
712,928,985,296,572,867,997,558,836,999,839,471,430,338,030,576,230,100,779,
724,583,209,317,415,392,953,739,004,317,922,760,526,633,211,533,506,552,790,
502,755,879,075,612,415,965,359,935,374,442,239,441,805,569,358,144,370,030,
412,233,018,247,657,745,055,053,762,370,858,259,633,536,650,725,069,008,879,
871,028,733,676,915,865,581,802,406,198,108,055,599,341,028,797,499,081,117,
967,948,362,962,262,538,302,667,529,296,871,327,586,674,630,300,542,772,463,
332,409,298,191,611,474,946,819,466,884,556,763,197,674,000,948,069,636,923,
609,297,749,139,003,948,683,778,866,957,441,745,724,811,082,164,646,374,306,
749,662,552,896,863,766,596,514,896,575,989,204,972,189,395,048,634,359,798,
353,475,440,398,704,036,121,186,139,984,099,479,038,830,630,713,405,480,290,
230,496,081,903,184,152,004,379,162,831,620,364,731,819,669,471,160,969,361,
526,175,360,230,345,141,807,346,704,653,918,320,408,683,703,691,143,816,795,
094,181,850,052,606,020,631,731,811,345,403,810,126,270,991,221,086,010,245,
062,099,655,992,431,542,361,887,772,861,534,825,502,156,700,920,662,818,538,
698,348,265,863,158,735,477,220,040,753,761,653,817,811,459,681,411,302,313,
498,327,320,170,309,972,623,266,939,789,486,874,321,546,346,827,707,342,997,
352,059,494,550,454,974,185,305,500,016,255,142,360,926,375,251,297,817,739,
372,479,530,450,460,938,872,959,272,559,185,121,185,023,503,130,089,013,959,
326,689,504,917,634,554,744,206,154,771,472,552,889,172,851,795,119,021,289,
734,918,439,153,096,496,671,346,140,421,526,490,666,553,373,360,510,553,863,
624,402,886,588,842,357,992,049,605,115,911,237,952,613,751,369,441,940,153,
530,201,187,154,846,535,596,870,486,078,113,163,077,746,740,346,756,268,071,
802,875,275,674,956,667,406,012,430,287,895,775,569,579,817,823,886,992,993,
375,248,466,107,970,958,115,708,753,494,817,787,965,008,752,519,870,621,030,
834,207,151,948,713,524,358,450,112,602,090,613,198,522,077,474,553,636,957,
139,278,040,030,102,067,982,279,614,438,686,442,302,047,608,314,370,369,619,
879,058,029,182,719,327,250,785,808,658,431,927,265,425,126,539,624,299,804,
681,337,321,046,285,191,037,135,544,958,319,555,135,332,242,609,229,171,662,
229,168,586,170,146,037,286,148,288,454,874,226,135,898,481,527,043,645,061,
985,284,472,552,126,684,053,561,516,870,081,542,494,109,183,873,576,514,395,
106,249,193,185,515,988,860,275,063,904,496,896,445,413,428,230,326,262,940,
251,011,380,494,038,259,971,066,275,678,447,247,301,253,843,242,819,412,220,
420,098,075,839,261,700,851,628,910,974,971,558,471,208,369,003,881,055,349,
601,413,887,420,636,696,638,663,545,537,273,088,741,995,087,518,273,486,618,
826,153,249,841,763,811,460,308,577,169,176,867,298,883,738,097,370,778,153,
733,672,160,825,682,819,540,658,482,770,210,675,102,811,854,545,947,494,886,
351,826,730,072,520,940,829,429,092,274,465,189,194,982,172,613,006,752,041,
613,034,036,618,999,448,859,661,584,947,540,508,757,132,827,278,108,120,828,
468,945,038,571,433,970,391,945,087,885,310,770,328,243,767,575,089,269,496,
015,242,215,340,659,614,446,471,510,127,522,443,944,182,714,542,352,159,720,
873,099,471,782,001,881,842,568,421,984,331,975,633,194,301,572,213,608,530,
414,999,617,369,982,971,712,801,146,330,674,428,352,677,906,990,674,776,136,
917,861,199,735,232,210,368,757,398,636,292,861,655,634,182,851,332,846,289,
058,647,554,539,335,472,035,613,909,578,267,241,941,508,683,909,952,296,130,
363,458,838,235,284,980,824,307,504,466,259,007,975,976,328,395,629,857,839,
660,253,716,834,729,422,978,248,648,907,644,413,782,268,539,681,804,371,233,
456,627,561,095,272,775,419,713,552,818,353,207,348,767,769,753,349,413,447,
853,823,589,075,175,909,420,307,204,471,185,492,201,057,549,945,735,480,216,
321,368,947,496,023,283,034,958,563,975,326,902,921,568,438,133,695,538,455,
596,170,862,239,518,664,947,059,915,760,136,305,660,592,062,554,963,105,734,
411,799,477,647,527,366,553,044,548,734,294,727,567,169,443,673,162,573,808,
409,124,468,315,436,928,856,392,494,768,819,388,763,096,999,068,688,031,949,
418,346,816,704,844,119,597,114,543,816,563,637,681,663,357,329,371,125,492,
952,928,203,211,363,046,031,477,100,996,918,115,541,979,216,922,163,596,050,
871,105,199,539,242,438,644,772,661,639,762,900,461,757,111,069,074,425,849,
147,406,612,081,768,061,259,370,376,898,829,904,060,899,124,021,375,405,136,
591,511,874,638,194,715,748,584,742,136,796,955,567,933,287,213,187,082,785,
198,247,525,451,296,319,322,248,960,476,815,814,446,446,412,184,272,137,284,
498,749,790,769,146,140,065,256,970,060,429,170,509,000,685,069,767,544,183,
815,387,224,490,269,479,883,884,778,189,232,452,666,569,142,347,116,620,117,
169,845,068,261,347,423,126,592,543,940,110,562,948,871,480,013,067,553,086,
889,282,441,512,500,425,033,980,241,972,270,314,825,869,360,636,974,736,166,
882,521,890,320,436,246,964,160,728,722,183,312,537,274,855,245,847,081,113,
560,511,160,797,819,949,273,146,242,913,661,417,228,498,683,629,269,032,915,
029,998,312,767,238,387,136,131,058,043,868,817,780,605,193,113,418,776,468,
233,834,322,149,162,060,266,118,501,190,348,981,793,480,621,341,684,513,258,
924,396,900,120,418,820,842,937,248,521,755,745,893,436,695,357,992,361,749,
010,769,689,760,734,715,121,384,831,020,309,049,125,489,744,037,532,341,216,
379,146,842,945,651,190,788,857,414,420,046,452,544,992,762,065,584,033,228,
373,005,297,846,587,742,212,358,424,705,247,586,420,971,748,234,287,253,897,
001,787,452,896,930,992,778,826,407,936,854,892,229,926,537,414,387,620,413,
106,567,951,426,009,672,239,918,057,850,940,984,478,727,041,368,040,887,919,
420,000,572,245,587,275,665,868,207,257,761,541,780,491,446,011,484,501,226,
908,447,190,306,189,023,430,102,001,390,777,296,793,658,990,543,567,050,496,
505,172,002,175,762,356,723,927,495,980,799,619,655,961,269,051,807,455,389,
208,006,530,059,564,251,135,475,127,260,519,589,866,623,374,809,215,698,487,
377,629,052,307,127,438,551,768,216,356,013,568,612,836,903,794,359,075,604,
254,697,966,313,974,392,777,727,205,846,917,119,520,951,524,541,934,097,235,
384,377,125,027,351,358,733,514,977,736,690,068,771,476,635,153,668,632,569,
030,921,062,872,467,101,483,788,000,962,870,157,673,393,437,459,532,129,759,
200,128,914,723,915,307,474,519,628,515,400,173,923,508,653,966,660,744,275,
611,448,296,362,691,844,595,400,282,472,734,728,052,042,627,557,193,834,586,
177,711,123,440,118,719,028,371,012,533,011,811,950,494,878,235,707,858,551,
115,398,287,191,264,333,420,645,117,824,581,423,351,163,569,219,577,429,704,
886,028,824,864,364,260,209,357,539,441,627,370,596,869,190,435,591,903,101,
924,518,429,921,964,294,250,391,940,826,377,766,845,003,529,304,113,884,504,
927,325,882,151,130,713,515,032,972,703,795,966,890,539,523,737,086,159,969,
858,633,200,075,309,949,881,156,781,137,246,337,135,676,644,504,321,902,982,
086,272,864,961,581,639,118,308,856,868,335,180,658,276,120,675,283,977,852,
576,541,749,352,679,161,246,890,512,253,399,776,322,784,463,763,794,811,019,
781,423,153,373,522,675,891,014,550,749,423,231,920,102,394,908,278,019,408,
209,113,982,956,835,420,686,970,353,248,986,293,653,952,869,251,564,064,712,
319,342,746,725,828,078,249,028,832,488,063,444,418,802,207,813,430,271,577,
744,298,089,472,982,903,845,464,393,713,041,673,594,567,832,429,197,414,147,
661,597,536,461,460,395,721,480,244,248,304,393,879,178,639,835,607,550,665,
667,764,373,332,138,324,015,367,904,189,586,497,646,880,287,206,559,478,462,
814,467,475,476,000,785,710,129,743,130,950,438,087,971,747,595,410,387,392,
781,593,818,971,092,526,834,292,639,361,539,083,992,450,195,416,772,535,782,
694,661,253,153,961,118,436,745,675,179,305,056,939,247,631,782,969,948,454,
055,430,194,158,804,186,124,227,202,987,358,036,983,980,003,806,625,230,718,
336,590,140,718,154,647,216,072,320,475,128,168,579,345,525,392,746,988,446,
475,546,217,461,886,154,004,223,870,720,299,173,122,131,646,209,080,135,138,
165,654,572,917,732,949,524,941,864,167,212,875,952,709,506,976,268,175,333,
983,931,318,879,016,589,598,275,369,898,267,941,804,996,186,487,764,473,956,
828,730,946,554,455,709,960,466,380,069,318,587,721,633,978,436,995,185,129,
973,591,545,550,588,561,682,572,475,716,138,910,676,929,402,681,492,524,175,
319,131,364,449,342,963,576,488,807,388,173,170,681,254,801,798,268,797,686,
766,607,672,036,328,741,604,068,379,488,535,564,579,648,866,811,228,864,794,
342,220,240,849,989,482,185,531,249,171,561,641,913,583,874,964,827,079,802,
528,129,157,363,178,837,363,639,503,517,074,939,244,534,119,585,370,011,018,
294,971,910,828,543,004,350,888,659,483,986,219,987,798,496,729,792,679,927,
932,892,380,754,344,896,975,078,852,638,367,231,377,679,525,433,590,857,310,
921,074,930,914,530,294,824,149,742,668,321,963,197,821,910,831,321,788,377,
788,493,223,432,991,199,369,432,672,911,056,364,388,143,242,636,645,712,177,
890,184,939,766,231,665,977,740,329,351,491,588,308,833,354,091,620,400,467,
334,596,451,635,243,628,444,974,388,058,217,525,195,273,285,883,638,668,695,
704,074,079,947,406,258,125,841,954,164,392,946,071,321,877,539,029,583,682,
829,059,583,952,429,825,260,641,486,682,105,763,224,413,296,937,935,472,080,
009,914,335,042,627,178,494,553,010,542,621,671,743,573,105,746,037,169,674,
106,426,054,214,904,700,335,594,179,174,504,744,563,094,628,629,303,664,722,
417,250,616,644,801,760,186,779,004,775,610,886,880,631,808,268,659,988,379,
450,911,439,218,734,831,718,224,509,254,071,719,244,250,021,166,475,939,799,
545,267,730,240,206,490,388,933,594,378,899,045,119,549,667,341,349,472,478,
745,528,677,389,741,420,198,871,445,098,855,237,940,130,499,971,926,912,917,
036,118,680,853,083,320,478,314,208,843,750,051,032,416,692,485,700,400,429,
147,972,275,456,494,097,188,610,386,095,756,169,711,323,372,953,864,891,312,
444,117,494,635,538,416,523,064,164,216,126,875,399,283,138,240,637,565,432,
118,857,382,440,842,446,415,682,214,552,331,716,464,311,704,310,782,384,043,
207,232,573,588,249,895,182,407,567,791,377,516,131,113,978,226,197,634,911,
485,462,141,230,471,891,894,908,495,391,589,749,131,768,127,314,526,645,332,
969,119,831,857,096,760,025,851,874,184,415,651,350,670,311,926,451,303,721,
129,709,559,095,919,325,760,153,553,231,602,769,300,141,312,880,803,338,120,
873,051,350,390,683,085,142,816,071,901,699,790,552,558,281,080,966,832,787,
442,394,756,786,009,832,673,901,040,347,367,557,239,973,747,992,561,458,999,
731,604,771,433,256,327,977,650,154,952,741,032,637,421,816,390,381,944,168,
678,258,951,756,451,992,169,727,301,023,065,466,546,055,724,793,929,478,734,
376,085,650,456,307,404,190,840,914,668,313,870,471,185,043,824,410,711,232,
171,241,793,443,872,033,078,416,923,483,957,971,798,239,407,198,533,892,241,
079,194,573,319,291,223,126,524,849,270,816,520,252,321,481,794,544,806,546,
330,140,189,576,557,965,176,829,887,313,816,247,923,396,159,661,023,304,530,
131,345,495,053,730,768,855,619,933,969,293,869,448,631,539,577,840,353,457,
884,986,702,376,632,762,250,261,015,841,897,052,866,946,783,777,199,568,027,
914,063,792,697,346,419,629,813,608,813,767,350,560,968,949,947,351,263,400,
209,997,291,532,553,655,170,373,418,647,649,827,127,296,913,864,133,879,925,
694,060,313,027,839,064,053,436,832,326,272,851,555,725,565,136,319,836,900,
088,948,263,454,033,858,482,404,139,633,602,234,427,756,861,302,054,669,976,
655,471,156,179,735,617,294,006,733,430,975,046,275,817,634,390,646,176,695,
220,789,263,037,225,122,586,550,066,226,132,943,705,514,394,475,227,264,326,
902,286,601,168,798,698,076,992,135,696,918,891,738,376,188,794,666,060,716,
185,433,362,314,610,674,368,044,190,020,313,727,078,452,857,368,363,080,862,
097,370,043,102,287,212,086,931,759,735,103,333,592,223,173,857,656,535,526,
460,499,035,525,668,533,729,080,858,672,641,988,251,831,623,336,771,299,520,
135,957,239,425,676,237,004,662,827,763,428,165,181,724,186,505,291,304,862,
579,759,618,903,636,529,099,991,072,572,457,248,736,350,588,370,662,511,476,
431,666,757,512,900,867,770,833,704,620,087,542,322,705,954,381,648,849,189,
329,784,164,977,065,317,209,394,035,686,710,889,556,363,497,444,791,934,043,
173,396,244,799,530,725,560,373,356,391,897,783,657,560,069,893,236,119,056,
834,291,126,504,918,012,084,718,737,182,632,424,583,685,912,447,364,747,876,
008,493,951,878,341,110,181,181,882,239,498,266,056,717,023,367,462,319,812,
216,017,884,389,680,803,421,245,701,493,321,697,557,199,391,766,851,447,894,
892,730,548,972,598,657,858,816,030,831,238,364,134,740,722,014,114,554,721,
809,592,591,319,052,565,919,093,125,167,786,451,532,606,770,513,393,130,081,
063,716,896,680,275,975,552,729,698,369,144,648,368,474,694,563,829,747,701,
507,462,820,356,087,558,233,267,799,431,251,183,125,029,737,771,123,692,076,
172,767,344,833,416,895,166,958,590,295,057,085,762,279,917,691,843,803,919,
349,960,201,594,009,533,858,961,337,609,854,810,520,837,884,191,071,710,335,
909,317,828,949,517,943,245,393,575,447,950,051,416,793,448,589,840,313,635,
633,713,002,936,326,765,314,534,800,525,150,190,961,489,482,697,423,309,852,
511,685,479,375,722,533,565,039,532,795,823,385,659,062,446,562,546,085,321,
215,695,980,522,355,784,383,058,887,719,563,112,744,736,284,984,102,309,375,
359,309,891,247,049,723,781,625,003,485,383,375,473,344,127,177,943,615,612,
911,045,686,515,209,302,262,558,718,481,281,868,741,526,150,617,075,569,507,
609,439,467,687,436,641,443,646,217,844,219,895,085,727,978,524,717,331,116,
596,593,635,368,498,957,763,396,314,420,864,897,499,557,815,908,409,494,273,
449,461,516,192,577,775,646,137,316,294,099,520,736,710,210,533,845,786,709,
002,616,587,111,349,883,548,520,183,143,811,058,010,393,545,110,865,980,977,
354,736,709,111,130,680,654,125,263,151,981,016,503,440,148,871,376,653,198,
096,328,515,757,894,296,869,315,890,478,078,182,551,942,282,159,363,856,996,
636,247,047,665,424,701,409,305,769,469,282,173,772,307,008,125,898,148,007,
621,486,795,175,788,560,867,521,373,538,524,116,820,035,349,506,050,044,961,
653,675,157,112,213,170,243,357,326,575,514,922,614,630,446,344,928,688,831,
145,392,274,241,275,439,725,992,363,019,609,197,716,032,388,756,036,478,949,
124,757,790,356,769,432,003,406,693,581,658,927,586,099,844,746,537,966,431,
305,551,817,833,899,887,945,235,751,156,892,565,620,672,866,268,746,646,356,
102,088,783,718,130,458,023,824,408,385,129,569,966,014,068,394,387,621,795,
763,640,368,330,978,667,387,011,845,239,794,705,945,047,103,039,510,838,036,
975,447,423,295,679,571,052,616,155,027,865,459,071,529,994,430,530,364,821,
710,303,744,599,422,466,097,328,407,633,905,251,812,638,833,888,668,431,508,
592,834,335,240,060,868,624,132,149,019,222,343,123,293,867,951,435,595,215,
653,246,221,830,684,475,035,603,652,199,151,904,523,442,096,512,967,077,125,
119,922,124,973,968,209,317,768,990,603,628,739,243,370,955,385,755,280,517,
231,261,210,767,341,753,513,801,404,209,031,611,012,831,163,951,697,996,445,
001,568,000,575,764,231,728,440,805,460,044,864,366,608,814,409,216,423,224,
569,078,991,723,921,393,597,001,211,798,447,824,711,267,615,235,892,130,172,
021,214,305,965,133,010,130,193,567,911,553,644,638,730,600,370,857,945,109,
893,008,232,393,511,182,572,426,315,824,361,562,364,824,476,585,074,496,640,
645,653,516,239,028,256,753,407,209,834,415,472,003,978,397,065,673,192,587,
876,681,580,448,239,686,239,221,236,757,320,776,549,422,662,905,538,837,118,
142,671,638,495,903,400,155,536,290,470,992,479,598,914,903,884,787,533,196,
618,554,979,404,582,167,546,256,793,073,636,641,906,446,460,375,477,116,344,
514,076,169,545,587,680,724,161,209,323,263,817,538,999,915,917,442,424,614,
473,779,466,372,621,354,584,051,864,851,588,735,546,622,996,146,538,054,124,
770,331,681,244,463,043,639,428,338,076,623,543,210,194,434,443,201,541,197,
727,097,596,261,597,769,607,004,026,152,682,137,192,326,701,849,016,721,687,
322,667,802,000,652,133,147,596,414,966,725,467,350,656,305,206,620,007,039,
749,476,528,630,241,550,514,993,928,872,970,743,569,168,882,414,702,467,805,
899,141,808,769,095,666,150,597,118,472,917,395,718,159,153,084,971,253,892,
745,879,166,178,319,199,846,858,376,352,466,432,935,604,388,320,155,499,155,
451,367,729,058,955,222,814,290,488,227,824,824,968,373,230,218,258,335,404,
252,798,576,445,916,645,122,062,454,438,067,560,343,462,907,242,270,327,662,
743,819,975,496,721,776,740,545,056,376,685,357,612,899,572,030,271,512,760,
886,798,726,178,587,618,406,281,645,837,857,276,186,269,161,703,399,597,255,
401,627,404,727,314,179,006,667,749,369,994,946,039,836,407,422,230,629,683,
070,834,149,394,403,048,403,231,973,613,573,328,655,620,761,933,170,413,492,
569,529,630,847,461,110,096,168,515,958,736,179,451,582,580,209,410,809,290,
989,966,430,252,901,428,229,867,636,135,043,320,731,894,606,671,965,468,860,
265,206,482,750,482,302,343,341,529,706,088,939,004,661,942,149,306,117,562,
008,527,155,924,372,510,114,194,293,037,838,678,124,255,676,388,866,787,814,
499,670,169,234,006,333,621,103,429,260,478,050,485,189,819,487,057,321,627,
898,351,759,634,027,854,267,228,048,074,606,748,843,547,619,630,012,563,490,
371,944,053,467,395,635,396,498,777,314,498,178,916,936,685,174,742,126,697,
040,744,899,034,285,620,973,038,681,305,350,437,448,696,702,681,248,349,895,
070,283,400,622,900,098,177,589,244,447,384,752,435,491,450,302,191,055,843,
859,460,581,251,365,866,646,508,056,205,950,690,099,208,119,802,967,524,948,
080,604,740,637,392,831,538,118,723,002,056,601,775,662,315,667,119,715,389,
509,232,600,392,787,505,506,166,162,980,863,356,985,511,056,661,518,574,615,
300,964,223,568,864,713,325,748,834,080,998,458,368,475,987,382,387,962,603,
118,704,128,078,528,744,382,438,457,106,963,028,422,694,151,605,584,855,543,
004,597,578,638,367,477,794,898,762,806,739,358,013,116,847,647,819,972,233,
010,932,806,996,199,943,631,327,100,979,082,022,507,770,815,207,067,630,177,
049,657,912,223,857,367,354,199,111,458,164,886,238,340,846,662,205,177,568,
584,166,336,732,359,471,007,797,167,116,803,791,863,724,686,885,139,733,598,
885,720,204,855,574,663,854,084,725,444,688,587,605,984,262,261,832,416,092,
640,679,523,158,180,319,178,912,124,953,061,240,270,457,599,001,638,886,314,
298,463,820,601,848,051,199,054,303,596,416,346,321,691,348,947,156,888,487,
084,375,693,189,676,726,886,160,909,423,858,811,795,281,111,194,854,678,354,
306,154,025,626,190,649,566,144,261,217,436,012,239,655,824,153,789,083,287,
072,068,946,893,258,889,666,588,567,705,596,686,258,983,235,911,280,517,503,
838,104,449,981,589,212,527,417,743,417,359,350,210,162,682,517,412,988,347,
040,150,936,825,868,475,265,712,520,932,510,987,492,109,656,496,816,692,980,
278,696,988,842,330,017,389,950,101,576,873,347,256,963,048,190,652,531,102,
581,796,908,382,473,778,123,528,498,040,015,734,770,553,255,160,770,521,157,
321,237,099,269,619,776,831,187,201,741,186,834,779,615,406,543,988,309,067,
511,633,699,864,914,845,324,623,405,377,818,845,227,757,204,311,264,998,300,
735,670,696,179,838,476,066,509,026,137,166,105,524,399,149,211,543,799,296,
073,975,609,797,377,346,347,867,274,630,282,810,193,600,193,060,043,451,009,
310,493,329,452,246,988,006,264,531,732,965,109,221,432,258,214,555,131,244,
674,473,471,099,883,793,787,542,954,055,802,656,004,540,593,955,841,503,962,
075,514,416,428,695,003,368,714,791,810,979,726,253,481,815,415,286,666,254,
761,302,100,658,217,302,913,309,340,744,635,075,113,919,496,762,655,339,522,
413,441,295,429,677,976,688,592,508,434,330,766,102,518,343,807,304,488,654,
172,002,963,619,244,430,836,294,771,253,321,987,485,163,035,345,625,909,229,
821,577,411,028,713,209,814,272,788,996,489,477,792,058,065,788,159,734,847,
617,190,057,511,138,788,590,611,359,889,426,363,309,750,579,326,994,695,580,
729,295,248,962,290,431,392,218,480,242,548,697,238,427,434,051,347,025,137,
118,827,110,360,613,013,646,107,616,091,012,279,986,526,989,867,705,907,365,
611,483,185,141,219,527,705,780,741,289,857,412,573,772,845,186,771,031,509,
476,025,008,716,360,137,628,380,800,978,553,601,307,178,222,279,228,870,039,
081,452,570,350,683,371,692,937,040,667,430,295,820,193,905,374,279,681,119,
989,717,457,331,964,401,857,705,937,844,796,887,359,145,197,580,742,721,323,
003,674,906,596,372,013,968,362,200,208,261,215,604,310,924,962,950,337,122,
997,421,964,721,130,872,961,844,077,002,186,573,669,798,500,761,312,204,404,
442,494,502,839,125,524,377,363,396,510,662,236,521,371,052,784,941,119,845,
613,920,350,873,290,934,498,396,296,464,335,981,392,445,748,859,096,366,937,
657,893,427,937,693,385,989,346,957,177,614,759,069,371,846,228,366,795,599,
475,888,652,422,966,433,310,649,624,098,980,432,931,457,160,235,709,671,525,
028,948,293,305,978,014,359,454,867,790,007,681,954,250,483,308,969,520,366,
032,190,775,305,234,859,681,568,253,712,867,842,570,340,892,915,894,655,685,
196,804,462,748,976,120,774,298,110,586,712,312,532,291,350,021,400,442,615,
172,614,262,411,665,871,441,053,911,245,483,165,967,353,820,641,231,166,542,
521,852,694,936,040,357,963,248,431,399,746,786,551,360,681,658,338,283,008,
302,216,014,845,008,632,968,739,911,446,392,343,274,372,929,734,808,178,620,
070,141,869,334,410,239,653,831,590,974,100,523,753,128,889,688,930,113,593,
348,511,135,417,877,396,930,194,319,438,530,944,301,690,120,863,041,528,227,
845,929,155,768,438,203,513,958,861,025,835,552,966,613,870,865,079,178,081,
977,557,812,113,753,366,204,545,197,459,443,349,210,661,345,804,410,767,576,
466,768,174,412,626,321,329,807,511,394,082,031,161,506,480,119,654,136,358,
244,011,731,321,440,065,649,139,041,460,067,341,820,299,418,533,397,302,111,
108,861,958,886,419,339,973,340,935,530,429,513,223,018,570,185,065,418,555,
820,342,096,762,344,583,784,025,077,220,279,885,685,620,060,044,819,749,338,
915,546,933,901,696,854,513,148,843,865,368,762,060,753,879,404,902,242,686,
973,895,752,921,014,195,522,095,360,131,482,260,448,941,910,201,947,875,908,
985,839,383,956,972,718,820,447,344,916,862,341,071,802,608,201,567,503,586,
609,939,271,091,881,193,412,549,242,982,140,418,628,863,377,669,170,039,247,
059,074,299,112,836,475,611,014,361,206,547,615,480,509,948,205,347,934,716,
809,246,872,088,435,717,357,086,763,581,066,659,586,398,377,917,205,415,095,
100,274,217,137,080,479,574,080,972,420,915,943,255,938,252,047,074,803,011,
913,154,402,621,847,599,409,975,342,627,189,323,972,058,446,590,369,098,530,
019,847,714,278,389,389,899,620,897,043,896,304,292,928,673,719,585,520,135,
289,000,815,773,782,366,273,626,469,505,836,093,407,871,784,579,491,972,417,
649,526,520,872,562,244,546,095,583,713,617,578,551,754,085,070,972,490,028,
024,785,633,707,867,117,329,366,004,970,249,940,310,039,478,203,813,482,989,
913,405,155,259,844,222,534,163,597,365,303,008,945,966,728,286,730,789,705,
710,427,348,236,612,865,523,149,153,791,148,840,561,554,002,476,588,051,339,
304,240,017,325,610,864,754,643,788,339,541,891,160,861,524,243,133,015,843,
860,067,956,551,347,483,104,481,808,458,196,086,694,673,064,034,644,472,087,
131,370,451,387,371,081,639,891,767,483,408,442,746,967,921,294,852,834,350,
938,057,234,886,462,509,705,206,778,473,150,816,818,519,299,959,347,030,330,
055,399,023,140,820,695,923,308,743,331,306,920,151,007,469,099,841,104,637,
455,770,476,799,051,150,236,089,486,038,120,098,094,042,619,490,120,451,084,
109,285,876,339,736,799,321,759,828,477,233,010,373,683,678,846,509,418,263,
133,275,919,734,865,388,052,744,414,599,849,111,759,301,727,818,232,035,719,
354,310,782,094,182,767,538,152,270,522,520,824,135,653,075,405,000,082,318,
956,985,294,383,170,649,894,381,731,821,552,043,022,270,593,176,459,990,927,
326,239,623,025,933,206,257,784,918,270,345,631,489,922,379,998,080,884,633,
116,903,615,317,215,952,434,747,003,526,395,249,925,172,783,481,831,114,232,
766,261,825,676,029,728,251,876,428,913,380,646,497,215,190,306,375,648,794,
813,277,060,391,817,521,115,170,630,098,259,601,638,907,555,854,691,550,995,
891,082,176,367,219,569,023,265,868,815,158,497,315,345,760,134,733,855,503,
568,503,251,458,442,450,122,538,063,752,845,512,907,893,600,056,151,208,071,
737,430,369,723,933,414,970,128,286,744,789,661,636,406,775,044,047,355,353,
745,324,193,895,524,684,322,722,431,770,759,827,488,494,263,314,880,188,057,
954,500,963,798,163,848,238,449,308,424,228,038,146,429,189,344,408,472,659,
682,121,481,574,792,012,270,751,793,438,110,781,204,101,633,869,480,154,711,
251,893,274,427,992,457,118,280,768,332,362,839,711,677,140,680,063,727,741,
087,879,924,239,189,414,453,515,008,565,603,076,218,372,644,661,883,009,934,
763,101,002,147,384,913,061,999,677,597,478,452,119,579,518,376,341,511,530,
746,280,426,205,596,530,415,660,667,080,497,035,400,841,622,827,974,098,344,
263,125,449,366,560,250,195,965,550,883,935,808,733,733,446,526,142,341,443,
196,875,354,396,007,836,905,140,781,598,624,776,692,416,004,646,858,567,359,
797,555,697,222,172,635,915,874,637,007,604,821,287,707,271,734,811,430,815,
777,070,812,538,849,471,546,307,122,632,148,519,540,851,377,105,800,149,810,
013,620,897,345,395,759,415,329,059,881,543,977,012,920,447,791,053,755,266,
626,629,712,170,558,573,904,245,536,325,417,157,993,904,210,282,388,378,409,
320,265,211,859,507,578,546,837,057,452,100,114,981,660,547,748,842,921,446,
627,746,385,467,559,545,893,098,455,860,557,218,547,853,037,312,300,316,872,
646,788,909,857,192,388,277,492,100,970,627,599,777,062,430,563,641,079,764,
026,872,575,480,505,783,575,291,515,075,234,090,371,642,942,947,901,880,359,
572,922,117,714,970,908,904,945,780,176,837,069,470,104,413,036,917,427,969,
664,648,379,004,153,222,122,773,927,656,547,695,876,697,068,227,585,010,577,
163,352,917,224,736,293,203,792,987,930,452,150,858,686,885,291,058,726,448,
426,436,272,671,462,699,512,931,226,440,305,349,806,437,307,523,157,529,775,
711,088,827,053,846,043,238,998,487,994,375,854,310,218,386,762,398,684,427,
846,912,154,911,727,211,873,690,502,046,415,154,461,575,480,814,211,491,366,
103,102,412,390,065,488,298,499,081,224,823,443,409,709,486,733,238,981,266,
484,629,872,885,941,020,212,437,388,269,218,217,021,179,474,765,241,012,003,
344,276,328,658,488,756,148,424,095,162,080,885,954,349,651,079,667,137,978,
208,570,353,204,649,528,236,859,518,189,301,584,233,694,727,585,419,906,547,
680,270,500,345,895,560,668,307,819,336,766,482,498,364,095,560,221,615,180,
570,807,998,072,482,213,233,925,686,090,067,550,622,399,424,380,590,909,264,
992,173,535,727,122,442,229,491,449,340,554,691,578,936,768,992,549,936,520,
352,300,582,239,574,550,895,315,987,719,563,827,530,260,535,668,036,190,187,
761,037,430,084,704,778,924,982,492,339,060,181,081,408,446,195,345,883,097,
678,211,778,738,454,372,674,394,366,271,341,363,824,488,110,678,479,136,050,
621,794,724,728,709,224,762,320,281,462,095,339,064,378,493,714,659,559,535,
708,032,938,772,930,581,776,377,630,040,521,779,181,217,141,508,425,294,714,
387,864,708,462,614,071,075,521,487,074,552,889,028,717,644,973,041,824,586,
449,076,684,882,266,174,635,235,441,223,414,099,869,315,856,187,651,736,822,
371,203,120,887,922,335,732,721,825,266,610,761,800,602,455,291,861,877,974,
465,229,522,863,075,192,048,588,663,617,822,275,764,603,855,415,857,708,281,
043,757,807,854,754,940,309,503,755,915,483,727,465,307,396,132,507,885,525,
845,244,515,387,269,251,393,094,022,497,397,244,294,972,138,730,881,742,806,
583,969,250,302,049,767,549,209,483,250,792,743,436,260,077,405,290,148,291,
233,469,084,319,827,872,220,391,849,468,832,285,036,434,142,966,102,107,663,
842,038,621,884,130,370,910,896,014,019,510,213,655,249,660,299,398,632,264,
266,698,803,268,430,019,461,306,569,495,479,616,353,877,154,851,152,529,132,
501,146,981,735,439,222,334,100,313,092,900,614,460,903,326,868,797,559,949,
280,732,255,184,520,763,962,101,945,143,396,326,317,832,336,665,143,269,906,
160,953,493,890,908,824,854,572,403,882,823,220,801,716,765,199,730,206,205,
085,709,129,086,826,257,785,171,149,256,217,680,758,640,111,482,856,929,867,
245,084,115,326,996,030,847,960,592,359,327,816,804,884,302,269,528,972,106,
868,544,169,954,295,870,455,709,509,823,871,597,776,759,183,351,737,468,940,
492,218,563,704,511,765,296,825,654,922,533,072,248,909,738,518,866,229,497,
940,506,466,606,441,508,247,321,560,415,782,334,086,191,220,659,734,876,595,
341,243,355,583,716,535,049,900,566,338,344,132,317,378,283,754,690,478,399,
314,789,026,298,651,126,853,173,188,054,994,548,911,615,651,141,231,180,662,
577,838,228,471,552,881,103,158,374,813,098,718,779,398,421,980,592,057,176,
273,877,260,814,136,976,861,105,215,656,675,239,126,820,820,792,304,499,805,
019,093,879,829,672,802,410,975,950,389,731,797,576,966,797,736,171,700,924,
316,849,275,026,818,093,272,783,880,938,053,062,162,609,326,418,025,308,169,
019,703,454,904,036,067,944,938,747,003,890,456,590,013,697,117,364,405,638,
278,462,443,233,735,663,413,180,305,373,847,678,293,852,945,556,085,034,336,
754,232,464,649,395,818,497,710,498,322,490,613,905,359,641,311,694,717,661,
094,088,162,040,540,769,030,063,802,533,805,216,888,111,591,556,794,925,219,
761,856,428,339,531,491,296,044,787,647,609,325,430,858,686,023,749,626,678,
267,489,576,244,776,958,918,469,859,366,572,486,926,432,432,879,490,765,553,
446,901,906,198,767,263,680,577,558,330,131,619,698,448,895,049,693,597,765,
447,117,436,147,495,731,009,499,443,702,291,606,526,367,458,617,728,852,355,
737,834,096,054,833,985,638,927,535,349,068,272,111,854,875,485,869,919,775,
965,781,266,562,240,082,611,617,730,283,512,320,901,883,728,584,100,198,495,
989,622,290,033,869,151,691,891,088,139,216,872,717,200,040,197,099,043,706,
333,625,936,905,050,429,140,190,886,348,265,996,934,069,388,317,648,545,232,
575,524,946,843,416,551,349,373,820,163,370,894,423,675,576,427,369,854,675,
414,443,970,713,111,201,067,729,087,280,309,659,592,045,066,023,148,258,276,
039,190,037,612,932,481,278,241,410,923,346,012,485,239,846,870,124,115,622,
567,684,631,785,276,286,626,827,450,468,540,572,336,744,888,782,343,775,960,
955,338,357,720,930,556,089,901,603,545,608,651,669,524,863,169,877,964,513,
346,263,230,006,430,371,674,422,702,287,617,306,956,381,756,082,321,659,358,
746,871,904,420,179,663,992,412,339,105,863,815,156,938,862,695,668,969,879,
305,064,336,861,734,835,773,521,188,618,079,653,444,563,313,361,242,430,276,
928,958,497,219,962,488,085,688,951,295,054,988,323,135,116,384,679,677,010,
693,147,012,423,176,996,732,633,497,758,672,464,290,359,231,751,418,749,293,
058,998,781,880,807,900,859,389,946,868,706,829,897,687,649,761,977,649,094,
030,107,051,435,484,908,406,831,347,181,723,405,619,775,098,232,348,565,069,
446,521,958,182,935,948,383,938,102,314,410,765,169,257,179,663,779,157,111,
410,418,439,564,696,379,094,595,756,288,379,364,324,183,178,607,385,626,521,
800,710,567,560,247,810,900,389,797,287,529,824,630,858,195,618,208,772,646,
290,832,415,138,438,890,047,325,573,261,433,145,669,930,983,398,662,123,707,
915,572,705,523,961,688,563,784,739,712,692,746,041,582,008,816,932,899,801,
120,935,686,048,246,654,703,346,546,465,287,220,285,341,704,493,445,601,368,
379,901,601,088,810,836,717,893,931,683,490,453,914,411,879,086,455,494,000,
698,934,430,905,661,120,758,598,340,530,022,521,554,223,356,947,066,806,947,
469,661,944,842,905,013,326,383,321,123,626,936,314,782,645,243,560,868,053,
873,957,796,314,039,807,890,096,324,971,707,885,566,285,486,708,924,767,741,
278,348,161,906,320,735,196,744,805,966,471,554,735,525,118,064,507,772,820,
957,320,483,665,797,267,421,293,231,809,223,061,639,943,022,617,306,961,109,
731,676,720,575,645,091,170,787,018,624,652,375,068,695,778,827,687,262,046,
282,427,114,282,712,570,733,294,562,323,288,679,021,861,203,212,476,574,116,
627,111,913,896,846,834,167,912,467,718,412,762,905,196,041,904,841,774,053,
914,487,112,680,833,572,010,713,399,720,191,408,509,255,071,472,806,068,998,
667,911,871,616,828,566,774,805,678,547,283,159,970,566,688,915,516,024,394,
519,267,670,441,467,389,151,772,977,371,044,925,021,881,875,219,854,539,784,
462,631,375,594,785,275,070,189,548,260,541,046,791,180,019,347,735,426,064,
154,045,061,413,822,769,613,807,315,050,995,762,412,107,975,628,676,136,418,
741,279,181,641,851,150,065,672,952,972,346,753,257,292,648,260,107,307,740,
204,581,962,695,271,164,995,851,377,013,360,146,832,596,855,219,098,995,015,
545,927,912,294,142,272,295,987,163,259,890,026,234,263,438,646,158,549,123,
266,718,960,840,165,093,538,292,214,291,892,247,287,275,102,080,460,207,512,
828,229,416,842,111,561,475,705,342,552,266,517,588,012,537,906,693,019,014,
989,983,456,503,259,187,875,354,108,132,167,507,021,672,267,897,902,918,222,
001,287,868,451,774,949,939,179,961,564,944,833,911,463,568,906,187,681,053,
691,296,808,307,285,483,417,305,063,013,064,606,765,758,413,534,225,530,065,
126,001,609,973,562,905,640,973,812,375,835,374,748,709,729,316,431,505,496,
473,281,945,300,677,359,084,363,431,528,481,566,135,623,432,410,704,796,888,
190,910,868,906,118,687,611,565,853,004,623,432,971,570,596,178,175,243,096,
575,614,204,825,700,894,151,527,105,296,522,497,355,173,222,664,319,706,733,
716,389,099,287,231,080,635,180,369,938,087,058,294,664,025,258,346,139,596,
123,254,395,221,485,722,040,867,716,182,989,164,241,466,535,938,867,679,934,
115,530,953,402,062,110,869,278,811,879,504,981,295,418,380,008,549,139,050,
282,243,220,206,172,924,268,747,707,086,308,349,932,664,913,355,663,007,612,
676,184,953,183,517,542,777,523,481,289,750,169,739,585,707,070,592,223,979,
202,548,465,330,732,240,725,690,095,169,247,443,450,384,664,522,373,557,619,
280,942,515,735,870,342,929,706,102,308,381,612,831,807,275,167,852,846,404,
923,664,606,719,517,920,676,091,319,500,151,539,327,372,097,414,167,028,231,
559,616,944,225,242,465,948,638,817,589,597,311,187,547,554,735,720,935,950,
667,848,255,706,343,492,418,647,261,780,974,243,236,283,631,234,527,494,561,
478,342,460,027,153,119,477,328,798,000,006,181,259,895,926,001,795,541,634,
904,628,766,400,944,251,686,111,650,391,350,091,935,599,660,680,675,234,877,
817,499,751,060,062,169,458,490,792,497,575,670,889,617,764,044,520,830,894,
105,016,879,959,312,900,178,571,022,050,211,380,888,587,802,261,758,047,633,
705,405,431,185,179,743,737,072,502,622,840,341,487,521,170,257,271,612,304,
840,888,523,183,070,997,269,426,850,724,734,166,782,330,482,939,922,774,286,
458,350,393,804,616,822,777,873,109,816,016,430,900,426,990,836,807,691,861,
120,091,168,780,750,584,560,183,393,354,494,831,710,263,526,997,142,821,171,
399,817,720,847,469,231,727,199,402,526,553,369,353,936,566,065,547,151,886,
312,159,473,846,792,436,502,950,430,309,587,987,502,654,597,998,677,299,266,
153,730,963,025,047,807,898,601,510,748,220,160,606,338,370,764,479,835,413,
722,006,551,024,498,043,433,691,294,466,764,351,401,243,519,407,061,334,927,
949,527,267,289,430,067,009,211,693,516,796,363,869,578,036,606,843,526,463,
479,330,007,931,517,404,327,060,765,476,985,640,735,263,607,032,255,105,129,
198,084,229,922,609,244,154,525,411,971,387,712,473,641,637,738,264,007,847,
829,740,138,929,077,956,641,920,956,817,571,534,600,250,913,087,780,547,443,
846,648,828,744,355,027,410,826,765,178,731,155,297,999,060,653,493,773,463,
125,375,268,978,837,722,253,131,711,859,668,729,868,571,961,236,639,569,587,
396,443,044,725,806,470,833,852,221,300,834,511,380,170,247,663,785,999,780,
776,163,396,586,945,831,516,569,963,197,324,595,983,577,505,995,603,410,796,
535,789,832,547,761,261,809,540,895,294,075,161,750,595,616,065,869,544,239,
120,912,332,449,977,012,962,649,468,594,969,332,629,911,202,137,331,162,363,
832,829,097,033,246,909,637,816,807,175,964,675,091,071,303,738,608,657,171,
077,843,204,644,918,404,685,445,167,341,870,749,577,678,718,615,162,959,615,
693,481,647,925,024,925,110,083,539,584,919,240,374,074,596,676,867,612,995,
707,266,537,053,557,980,670,695,996,185,978,403,703,541,042,793,936,904,927,
237,800,261,825,848,769,939,412,905,110,019,894,197,450,724,937,117,977,209,
165,179,301,403,778,316,023,464,588,887,676,306,597,317,832,233,641,283,459,
684,590,662,820,913,344,113,378,804,157,759,725,450,585,037,944,772,499,782,
910,911,514,842,865,037,444,633,012,876,697,728,266,704,047,282,090,077,210,
767,677,810,174,255,528,265,221,923,005,969,419,953,082,358,605,102,572,434,
537,460,550,457,343,356,721,001,935,173,296,221,904,220,838,289,458,025,297,
772,374,938,788,207,514,944,044,943,192,309,563,748,370,544,176,064,586,466,
855,356,800,370,834,765,706,677,681,810,780,469,610,958,885,837,663,865,808,
004,089,049,158,936,309,836,283,443,373,347,621,406,705,972,841,446,903,141,
998,955,922,349,954,371,618,155,430,640,225,052,212,393,933,864,255,498,398,
676,918,576,305,560,216,061,150,260,229,250,981,995,341,301,682,212,689,716,
790,297,118,698,714,342,089,360,353,959,067,287,851,326,722,028,007,104,925,
762,371,200,385,135,836,605,637,475,079,577,407,348,381,940,835,520,859,814,
823,348,804,872,590,735,414,848,610,334,602,666,135,614,867,293,954,921,828,
645,660,947,129,515,543,194,496,317,046,878,399,322,034,889,334,754,148,403,
800,976,410,504,209,304,439,431,546,603,136,708,478,624,642,609,595,242,011,
713,220,972,955,528,032,326,473,066,497,803,172,040,868,409,820,980,484,633,
029,538,032,699,958,991,300,173,730,714,498,835,490,338,155,918,998,196,081,
469,541,234,742,950,457,720,155,352,692,089,380,327,020,966,066,560,162,013,
063,446,955,353,578,635,284,926,186,677,043,025,008,952,835,746,824,336,773,
992,570,139,787,519,401,005,924,377,469,337,673,059,984,934,466,209,699,593,
321,413,852,104,775,380,236,027,522,442,228,527,634,565,433,909,291,059,050,
628,457,433,443,713,410,809,830,095,253,767,121,083,917,862,352,229,070,019,
574,339,986,027,539,354,732,645,953,337,262,777,464,463,340,853,081,332,082,
794,393,364,284,279,814,749,860,009,294,960,412,258,336,265,002,414,020,468,
273,584,821,514,404,958,548,189,549,739,345,880,152,763,409,210,622,790,636,
648,542,845,755,471,023,587,086,538,591,216,142,528,041,710,712,567,782,312,
854,523,837,694,768,694,369,733,026,452,293,192,775,712,376,677,866,280,698,
924,835,669,782,117,148,451,575,457,275,950,398,805,570,324,218,562,522,973,
811,618,046,041,864,399,242,654,744,852,079,152,019,039,666,922,809,261,988,
699,476,489,610,091,347,704,302,227,394,750,699,399,935,795,627,002,926,635,
877,765,358,554,667,701,997,245,843,722,890,687,738,188,440,803,052,151,474,
378,975,168,940,187,302,908,355,547,321,851,524,516,579,516,531,464,816,947,
102,724,494,769,320,330,990,247,631,986,994,867,340,630,709,444,212,314,386,
658,085,895,968,692,753,325,450,462,188,249,018,976,171,951,396,004,148,429,
353,516,986,907,876,401,245,086,069,567,194,350,857,693,099,831,930,506,208,
216,994,466,639,985,971,647,690,362,228,412,482,380,412,013,569,214,722,302,
440,653,368,183,754,505,914,882,037,017,445,041,550,970,462,307,716,780,622,
991,187,737,181,909,844,201,767,129,228,216,407,786,893,578,200,044,551,488,
461,255,839,282,486,631,814,425,054,247,423,775,775,736,120,039,850,820,170,
863,838,646,871,719,436,358,298,047,935,077,012,036,910,982,609,457,169,190,
497,081,762,466,229,767,570,759,068,515,799,024,312,345,878,246,387,264,399,
616,710,557,416,297,352,347,835,720,480,667,719,735,137,679,487,561,848,077,
486,503,333,982,669,995,177,400,860,635,127,261,443,210,530,152,378,569,883,
609,733,648,462,689,766,962,245,081,476,795,729,821,704,655,744,857,000,501,
896,659,012,883,480,599,392,655,375,217,503,314,276,342,977,600,952,850,121,
691,781,359,144,054,926,458,384,371,037,758,601,649,327,974,252,897,990,034,
747,775,862,624,026,308,979,338,480,143,099,500,671,201,046,529,003,163,587,
323,978,552,424,651,980,249,696,095,767,504,824,658,257,489,836,925,219,167,
227,901,537,271,766,832,891,054,478,418,132,237,699,060,489,979,011,991,588,
094,847,304,279,329,743,236,505,742,496,023,253,149,311,383,549,022,058,795,
301,416,433,802,039,013,271,072,616,981,445,575,612,323,151,863,197,806,335,
410,425,298,276,043,615,646,051,675,146,437,393,477,109,691,838,920,779,574,
035,840,581,106,603,861,654,636,459,533,201,342,922,212,174,801,071,708,188,
635,619,571,362,888,816,428,533,470,003,946,780,564,009,966,472,642,217,024,
168,712,841,044,220,625,736,502,429,207,589,163,776,550,880,230,796,681,953,
825,715,633,533,453,229,055,600,349,931,331,122,882,145,887,188,201,564,273,
670,291,568,609,064,366,836,344,583,894,684,128,181,223,612,313,363,666,177,
286,871,804,593,804,792,605,146,929,722,619,649,155,669,403,385,806,461,901,
522,971,459,766,293,187,502,429,262,434,409,907,941,039,970,595,163,496,656,
304,603,205,017,009,764,510,064,082,364,706,164,380,492,575,063,766,271,363,
488,958,621,544,393,188,602,259,952,282,535,886,596,473,856,891,411,285,643,
937,197,406,797,573,357,347,382,320,360,205,301,497,301,001,635,223,200,367,
657,249,786,538,241,453,657,450,743,024,774,317,941,562,941,231,475,657,966,
169,827,445,874,115,035,738,559,530,975,455,857,317,872,816,130,824,695,575,
423,849,056,542,600,020,667,085,030,092,415,163,463,712,143,165,203,430,200,
503,130,706,520,846,720,571,421,538,351,171,759,075,364,831,222,824,164,798,
644,043,361,913,988,687,885,038,739,805,650,123,111,639,900,171,435,229,045,
405,131,468,228,920,439,710,113,466,560,630,665,972,509,087,364,382,252,062,
132,276,445,113,808,163,196,296,524,483,865,111,575,465,160,766,024,099,114,
272,662,687,439,129,515,688,693,912,753,944,278,921,625,727,548,382,041,218,
659,451,680,292,750,615,003,029,081,797,586,993,377,665,948,121,584,336,317,
044,716,423,663,274,516,407,640,095,469,323,793,443,507,689,184,562,244,014,
631,893,395,222,049,187,997,818,423,737,438,279,385,036,397,088,269,446,299,
117,980,682,933,809,941,380,154,202,529,471,269,259,022,136,223,050,233,547,
565,406,938,285,769,141,920,478,712,939,510,032,143,663,417,096,777,655,519,
562,268,788,619,509,760,680,642,983,316,061,149,397,138,067,076,893,525,652,
184,594,646,558,951,634,122,738,630,096,314,079,434,500,093,866,722,695,995,
203,292,777,918,291,459,629,160,202,102,273,412,116,517,320,843,023,459,887,
915,372,705,016,265,174,155,286,862,409,538,428,677,243,797,894,407,120,945,
288,336,153,536,458,543,083,103,974,271,630,998,553,071,089,336,776,147,274,
327,839,000,926,980,123,899,981,938,865,596,448,174,356,817,198,208,287,412,
855,055,507,219,392,723,946,805,178,870,262,234,405,886,788,217,614,759,535,
843,020,650,698,895,834,091,872,549,553,549,007,071,548,254,112,710,783,637,
449,829,823,443,800,886,933,473,677,753,694,149,714,507,852,676,826,811,719,
544,818,969,000,322,520,332,067,955,472,480,744,520,939,663,371,939,359,147,
846,578,616,433,805,753,410,340,767,239,796,969,996,070,916,235,930,970,879,
620,261,776,718,666,440,903,372,550,308,226,117,166,696,383,262,363,836,836,
274,827,475,794,529,152,529,446,541,675,832,594,081,650,933,431,351,299,282,
102,085,402,060,122,024,229,232,178,301,625,980,300,756,682,684,512,408,876,
758,372,939,297,708,832,883,295,188,100,982,956,388,371,351,616,774,558,090,
985,532,136,862,841,128,263,318,640,433,410,133,064,727,996,027,285,823,488,
255,102,492,906,640,463,201,348,233,047,536,850,738,024,929,962,810,988,400,
660,925,191,421,346,362,253,194,596,904,122,571,114,879,881,090,075,003,802,
095,651,486,744,877,332,887,095,136,222,553,683,528,328,746,275,350,074,498,
976,724,901,360,113,967,609,277,921,990,526,774,794,828,452,525,238,196,701,
106,272,973,834,602,358,760,401,620,513,475,938,215,462,889,695,272,272,884,
223,810,639,010,289,912,962,784,981,414,496,109,032,771,376,220,954,583,755,
227,840,336,527,134,097,330,524,621,316,427,234,261,738,089,426,939,044,086,
178,698,597,341,151,010,941,487,286,215,910,523,276,001,606,644,870,486,143,
828,995,946,660,205,624,494,487,773,163,812,246,575,984,667,944,295,679,859,
360,329,775,179,334,242,962,696,841,582,654,590,190,616,206,914,987,656,813,
108,645,214,245,049,800,455,096,325,397,333,663,309,993,103,460,576,040,271,
274,620,942,432,944,360,863,648,871,036,602,926,925,375,420,298,663,897,377,
910,170,562,430,438,715,869,589,382,183,447,211,001,053,379,385,903,954,424,
418,856,465,870,798,344,430,067,257,840,601,672,834,781,116,750,004,309,899,
144,808,840,152,660,215,637,510,733,015,349,437,169,690,767,476,568,732,025,
479,487,802,475,964,413,475,650,610,648,850,712,682,542,274,459,801,737,340,
323,710,953,661,367,888,166,413,599,007,672,952,767,799,105,632,357,406,960,
370,991,025,188,424,809,835,895,516,487,186,858,696,517,670,995,749,678,524,
931,956,284,606,289,842,352,188,286,224,588,833,587,844,567,859,035,116,852,
892,428,517,845,708,823,631,730,984,240,230,501,349,136,692,315,328,141,251,
594,475,481,456,744,062,768,462,939,177,489,482,283,229,339,690,011,070,133,
763,308,631,470,533,219,000,739,934,954,497,411,620,630,589,386,823,878,182,
134,667,019,789,247,164,408,604,302,693,612,712,249,700,820,054,565,115,016,
194,183,572,011,807,347,815,402,135,604,337,915,494,348,842,848,609,685,812,
608,284,352,274,749,152,887,234,984,546,557,134,864,224,165,352,652,936,123,
607,218,586,498,973,471,560,047,324,695,047,938,015,776,097,966,620,416,272,
012,980,031,808,365,253,322,589,235,371,976,238,630,015,711,799,345,523,062,
560,000,083,640,717,965,558,793,284,851,433,049,613,723,819,812,081,917,493,
220,729,829,302,043,175,501,025,236,060,213,407,120,255,288,125,904,868,126,
565,204,005,907,969,540,052,077,443,352,199,564,607,541,121,415,443,130,263,
945,133,332,327,247,913,283,920,581,585,175,379,756,171,020,157,773,095,490,
369,309,663,602,740,447,900,207,388,752,287,492,572,180,594,385,809,017,721,
921,985,601,236,215,089,711,187,069,289,187,545,702,925,392,036,444,436,273,
387,833,254,602,138,641,330,330,822,175,584,846,385,423,014,862,485,592,167,
056,901,423,144,744,922,124,878,350,060,628,540,746,478,220,735,861,040,658,
844,362,021,091,626,565,702,337,195,676,460,225,522,831,011,348,053,882,177,
080,202,857,148,470,496,230,837,445,201,558,270,344,301,352,630,216,761,442,
382,625,130,484,405,381,459,460,490,849,982,377,637,731,915,292,203,715,314,
622,232,272,769,986,247,448,866,980,103,326,982,388,844,154,515,625,400,762,
802,289,020,497,180,005,596,205,995,414,241,690,708,245,711,347,819,432,519,
093,648,078,101,032,395,031,387,009,192,617,258,113,002,166,930,520,227,186,
998,299,848,517,349,997,085,003,309,392,560,792,891,287,899,329,793,148,112,
259,952,778,186,368,006,945,384,404,364,601,755,892,461,966,853,496,000,050,
259,167,435,799,966,524,471,161,076,851,190,397,469,427,229,226,411,102,172,
268,600,427,593,602,572,764,052,914,236,630,285,223,238,947,995,104,495,769,
341,859,239,467,459,917,168,959,296,095,015,939,065,751,339,199,973,714,567,
400,381,453,747,828,935,426,505,765,547,115,778,965,709,458,075,191,589,085,
977,177,505,406,671,523,454,206,169,440,067,282,590,563,973,452,502,964,294,
691,946,708,228,860,460,429,817,548,658,245,816,705,040,461,393,135,194,073,
919,819,951,108,806,927,645,024,378,540,932,060,094,690,459,228,541,145,318,
880,360,983,414,393,433,940,390,727,412,188,284,344,964,770,568,980,597,317,
895,659,701,658,690,427,896,589,339,501,007,629,971,780,923,877,330,169,853,
951,551,493,343,978,533,683,528,699,134,563,522,425,285,339,813,400,757,180,
279,799,722,884,910,253,848,659,490,334,916,192,908,861,184,265,801,718,005,
457,618,915,620,976,207,850,012,813,151,410,207,932,740,160,104,851,265,174,
376,101,894,454,773,840,597,555,619,404,830,730,406,489,027,114,122,959,017,
273,963,473,991,175,886,780,816,452,001,689,506,712,221,328,160,032,784,442,
012,398,927,017,102,165,190,807,898,933,868,737,820,382,015,377,318,371,361,
416,528,973,802,607,445,426,024,575,046,160,024,089,812,095,060,539,564,514,
667,759,340,223,808,818,340,543,306,917,696,476,404,953,582,832,808,437,447,
261,512,739,083,091,282,536,243,897,443,294,448,914,890,770,168,644,717,478,
182,455,976,073,823,426,886,404,703,143,081,164,834,110,397,784,277,579,447,
503,958,470,340,816,873,376,199,424,907,944,880,967,704,829,014,629,457,095,
595,428,310,230,582,781,903,226,581,936,076,015,562,530,775,552,016,700,742,
761,750,218,517,161,971,100,512,174,387,971,847,800,790,625,330,515,955,340,
785,146,233,909,254,999,911,042,040,820,095,481,401,971,859,293,453,527,974,
823,260,276,483,999,083,212,060,571,116,122,544,817,102,179,715,932,219,446,
036,363,944,653,341,424,434,776,791,001,847,685,393,678,809,295,700,329,329,
428,935,453,392,534,611,262,200,340,691,475,344,305,100,511,977,435,290,341,
266,907,140,550,112,638,496,208,922,461,267,753,586,669,018,463,759,222,724,
558,485,134,964,925,083,075,132,520,502,265,716,946,348,790,718,477,715,318,
651,232,074,370,665,452,918,414,400,649,326,273,416,766,037,253,107,059,609,
097,752,089,707,188,811,199,203,964,358,247,210,859,335,890,211,327,249,746,
184,005,426,717,588,229,835,488,299,680,603,439,872,575,385,395,008,604,325,
934,971,566,215,122,773,589,488,604,622,879,458,765,483,430,606,366,738,235,
161,901,967,482,812,986,024,299,886,105,947,450,070,941,310,099,334,210,968,
002,299,223,445,606,423,336,542,268,680,224,682,766,670,008,196,995,504,850,
065,743,713,223,625,862,386,873,874,426,926,344,890,447,624,510,799,494,146,
199,850,961,636,243,323,496,135,490,596,473,200,652,066,484,214,086,162,570,
211,148,128,348,049,029,999,129,637,852,315,090,004,009,890,908,966,789,283,
740,984,573,462,348,084,171,702,050,765,124,127,615,580,241,342,192,864,419,
797,220,456,197,631,218,259,098,208,203,813,724,213,233,334,651,341,498,712,
103,554,425,198,340,798,683,905,055,374,214,099,637,662,487,326,395,325,047,
216,384,104,534,079,183,235,612,230,748,412,651,664,479,232,930,577,248,692,
994,929,585,289,410,977,888,019,669,056,896,788,533,646,154,538,788,133,460,
759,470,349,688,171,072,353,266,848,250,021,185,687,143,615,148,786,261,406,
076,000,804,782,798,060,178,053,191,041,190,521,696,013,421,924,413,794,293,
675,518,056,162,556,226,284,158,404,147,731,639,941,985,527,075,582,275,867,
736,080,130,041,873,849,334,739,368,093,862,225,761,299,165,427,606,789,668,
394,735,182,319,284,416,394,141,376,303,617,951,597,974,605,640,823,433,806,
512,295,002,119,776,219,212,040,524,544,190,970,965,265,653,043,469,089,417,
533,588,461,293,183,309,650,076,787,256,548,401,485,620,453,485,278,598,006,
994,103,352,292,302,159,785,672,210,246,672,801,854,880,629,726,929,347,233,
423,996,548,814,673,778,061,086,384,986,305,554,908,357,249,075,210,123,957,
901,833,867,080,151,515,058,495,492,684,666,623,341,518,835,338,276,510,477,
618,505,241,831,388,615,125,600,079,971,233,423,462,827,534,889,218,220,937,
096,302,173,137,804,716,614,446,507,604,890,684,020,569,954,261,188,575,701,
813,153,989,165,007,131,910,412,004,035,708,152,388,615,017,491,376,469,202,
983,728,064,921,593,175,781,355,391,033,628,782,103,111,928,578,690,859,596,
040,053,047,577,043,450,538,402,693,918,426,341,190,916,097,907,817,117,680,
069,784,047,277,097,330,243,972,261,240,889,931,398,342,695,032,133,705,502,
019,750,853,563,916,364,538,103,285,519,894,583,853,244,095,934,926,581,010,
269,757,917,724,225,711,056,415,300,576,632,306,747,516,817,379,452,197,859,
156,894,715,332,518,599,830,220,227,406,232,107,449,939,432,748,671,715,109,
116,148,550,101,225,249,267,903,737,450,880,859,610,683,365,814,067,990,411,
148,948,025,721,294,462,906,356,199,308,074,549,458,920,835,277,381,441,377,
006,623,737,267,962,655,386,710,641,515,506,609,465,164,701,603,922,680,332,
771,648,114,600,898,869,727,041,936,835,328,482,019,900,318,570,623,051,531,
371,879,712,364,334,151,387,615,566,359,649,786,129,637,423,996,916,058,748,
414,614,474,642,704,572,029,346,620,770,213,608,170,666,726,463,603,860,773,
651,945,014,411,946,032,002,670,069,300,375,572,216,981,063,219,360,502,806,
383,510,329,924,484,849,508,329,886,959,567,801,410,410,039,723,060,959,744,
837,520,158,412,940,479,563,225,069,631,903,881,872,432,422,231,008,633,998,
910,400,981,788,157,385,067,509,489,821,882,670,935,893,312,601,501,206,509,
033,505,200,015,860,488,182,627,986,302,472,421,678,703,555,414,863,765,335,
893,665,306,175,039,937,530,425,825,122,052,489,261,905,046,693,184,844,934,
635,984,521,326,506,872,464,196,207,859,249,533,443,780,886,783,386,020,251,
766,784,623,942,293,415,379,175,529,527,354,817,575,461,788,435,193,981,161,
034,205,873,578,277,987,157,792,103,520,989,457,239,394,118,232,145,452,330,
211,167,979,158,796,693,870,914,740,637,260,239,235,212,344,981,032,695,468,
673,394,217,266,645,569,200,894,016,143,981,956,376,521,032,713,810,509,530,
819,294,686,456,653,918,662,877,357,934,616,183,865,598,045,776,718,073,685,
907,453,448,207,779,228,193,850,750,921,571,241,524,912,651,033,360,124,287,
956,323,220,502,761,378,366,502,649,885,515,854,743,809,159,222,049,407,126,
666,489,430,985,653,027,144,751,237,551,821,142,306,028,255,205,506,145,556,
491,763,001,678,410,753,061,603,994,425,003,463,390,898,686,254,143,892,473,
934,520,442,509,095,100,544,305,013,888,557,426,164,443,401,986,901,217,275,
155,463,742,919,878,919,504,203,483,077,322,693,961,718,045,266,898,729,090,
828,325,199,314,693,187,977,978,050,428,418,941,731,236,622,402,473,107,560,
285,880,940,558,255,169,779,650,373,618,368,414,682,737,915,776,367,406,670,
944,141,097,152,629,687,939,650,549,713,395,499,377,057,230,175,462,251,300,
132,543,348,021,975,360,465,834,391,652,418,920,860,190,274,398,054,793,885,
096,601,714,111,417,316,831,945,358,347,950,262,714,056,129,639,288,560,425,
599,763,997,388,392,705,070,674,016,764,297,523,379,327,490,419,166,215,462,
083,522,996,362,140,516,165,706,072,121,220,380,513,956,518,309,400,908,772,
641,416,629,375,577,750,111,586,996,761,569,086,640,968,076,376,953,088,375,
936,335,709,560,153,371,275,897,342,022,330,269,441,585,557,357,101,491,435,
767,157,787,230,886,007,746,997,432,613,150,320,060,845,561,280,048,025,598,
822,457,473,939,399,817,607,393,008,413,578,351,007,496,622,660,122,178,203,
887,831,452,231,470,475,440,519,596,936,029,575,101,900,097,849,484,214,545,
742,382,560,805,752,128,156,782,305,703,422,582,818,307,009,474,884,834,438,
992,605,215,067,173,050,254,649,082,054,542,527,808,647,875,880,752,429,932,
281,154,058,525,346,359,033,527,600,209,373,530,967,262,803,275,210,330,131,
260,559,751,159,470,828,416,646,950,008,061,739,578,440,969,020,761,209,107,
544,568,450,158,654,250,866,549,050,112,729,465,696,847,969,833,907,202,874,
432,891,471,332,740,019,965,621,995,867,879,296,274,615,690,881,317,776,785,
542,722,524,226,483,252,013,289,523,607,240,472,559,962,639,240,970,532,643,
037,878,816,725,544,276,245,811,293,159,997,734,803,980,984,654,439,446,075,
883,123,019,146,282,298,957,355,255,448,360,716,179,118,763,766,060,209,157,
214,522,201,219,593,618,353,391,522,517,360,962,627,569,700,216,385,595,552,
385,202,620,657,346,022,608,380,130,946,163,554,519,889,432,800,311,056,239,
590,313,625,389,480,428,494,671,301,712,238,876,829,287,728,987,896,722,000,
750,294,693,322,887,293,907,388,258,823,356,144,509,249,140,706,577,772,146,
593,710,454,952,468,980,714,773,698,670,544,746,023,162,586,467,020,601,319,
527,725,906,717,782,917,262,104,753,887,193,146,462,832,178,404,704,573,940,
181,001,900,788,948,087,672,672,911,412,392,316,809,116,452,420,516,454,576,
149,589,921,002,655,642,020,348,604,374,887,689,762,297,922,163,230,458,391,
441,060,321,646,585,740,716,860,694,241,633,411,066,784,792,527,242,401,802,
786,250,308,501,337,700,618,638,494,156,966,153,155,980,789,105,713,986,723,
124,825,753,131,999,026,322,627,019,963,374,234,778,114,023,746,343,410,195,
310,380,080,895,023,520,807,695,610,000,660,209,220,980,195,106,854,206,621,
327,602,661,466,256,821,908,505,502,280,142,838,449,933,013,444,069,259,557,
137,941,524,983,305,012,981,714,239,509,412,065,370,053,833,809,209,965,131,
031,571,953,599,180,336,474,977,190,379,292,946,546,122,872,073,522,077,089,
670,688,680,916,878,983,700,976,707,479,698,757,687,152,368,374,339,449,613,
736,394,400,506,533,555,944,125,588,139,281,979,169,888,190,063,826,378,749,
500,305,220,622,735,504,108,078,759,547,605,120,075,357,751,038,929,289,934,
708,488,926,616,920,013,807,867,241,831,375,829,479,496,206,920,526,101,549,
067,035,522,864,474,156,280,484,336,439,863,862,310,276,323,544,008,961,165,
309,387,446,950,636,273,719,330,460,408,299,308,869,364,082,554,704,137,913,
963,801,654,935,405,326,681,162,635,173,351,886,282,744,633,473,232,138,330,
928,158,060,507,536,451,559,595,576,764,430,234,728,610,832,338,372,938,307,
474,034,441,502,941,123,074,814,951,190,630,117,272,393,206,500,635,282,265,
794,529,258,565,052,082,683,117,702,351,843,805,148,384,142,777,172,480,440,
490,672,810,403,662,433,646,817,384,404,584,905,155,615,452,956,774,435,211,
457,256,410,456,066,339,201,981,371,244,407,811,782,339,710,422,280,594,496,
177,640,101,432,418,038,226,102,338,771,551,142,621,576,821,049,225,209,055,
276,311,049,665,832,139,825,898,047,497,476,180,572,594,289,620,673,507,253,
316,844,554,559,396,032,523,498,730,645,207,113,881,603,161,445,342,205,423,
678,868,859,991,868,345,343,569,316,014,909,298,912,848,893,795,178,659,025,
953,240,416,197,579,127,197,429,566,844,610,785,294,212,399,209,414,704,478,
776,071,693,427,654,695,124,941,271,976,225,633,465,131,730,277,610,566,283,
796,398,700,332,025,137,858,512,661,567,632,475,577,467,483,192,687,395,700,
617,178,385,188,829,691,521,455,810,360,288,784,467,681,515,912,209,305,933,
123,906,955,809,086,067,848,269,713,207,287,317,637,985,001,551,493,094,092,
172,218,121,100,777,650,511,059,306,909,606,981,829,578,745,742,514,015,890,
695,423,696,051,854,508,324,682,962,460,278,841,050,266,257,294,102,563,256,
462,113,181,699,864,187,586,277,987,281,100,375,908,935,057,680,766,756,062,
159,077,234,970,568,676,405,509,153,442,027,860,741,677,721,332,250,377,446,
681,394,758,959,564,095,904,133,833,464,844,980,190,837,486,992,564,818,634,
176,243,396,331,451,587,120,821,189,295,525,097,177,273,486,786,827,475,875,
719,336,896,660,006,804,250,459,751,402,705,462,604,518,118,541,975,811,946,
174,271,896,973,120,218,270,292,402,808,751,414,725,645,995,850,309,393,612,
549,175,657,351,734,922,150,666,250,718,197,562,879,073,466,463,552,022,800,
744,363,106,321,781,841,680,495,172,902,657,246,523,922,485,504,655,610,313,
759,159,316,322,860,118,616,574,733,598,680,141,188,976,414,801,081,685,658,
370,643,946,253,247,957,165,646,041,828,691,294,367,289,532,579,472,576,090,
757,430,192,603,304,417,390,480,240,725,994,897,764,676,588,176,825,688,876,
054,183,617,468,237,229,527,704,178,086,494,024,734,230,382,620,674,740,580,
288,703,747,327,370,121,970,056,729,505,951,601,120,333,863,421,675,295,254,
355,778,807,067,394,461,336,062,158,614,369,018,689,775,945,198,956,434,858,
263,380,804,289,517,631,845,241,067,300,338,466,140,665,280,452,136,989,404,
720,695,573,553,706,404,480,677,240,706,593,580,583,249,714,944,502,419,600,
532,684,805,296,129,242,977,166,598,817,047,818,918,884,687,559,124,030,928,
122,396,853,070,984,136,388,387,343,331,165,900,920,318,933,250,573,199,977,
125,664,956,453,705,961,023,444,634,483,233,980,120,466,475,199,906,313,377,
563,394,386,751,714,381,729,220,519,345,284,118,434,278,033,462,622,465,741,
958,003,608,054,452,916,925,865,063,110,822,573,304,391,620,644,802,157,229,
699,887,124,783,827,857,560,258,497,901,045,168,927,940,677,723,351,377,656,
951,842,217,117,978,618,551,643,460,205,329,211,334,871,787,360,334,210,026,
613,654,471,304,669,637,798,994,612,628,009,780,791,090,204,576,036,008,143,
616,670,233,555,438,256,133,764,944,226,290,902,379,523,388,585,524,986,833,
030,095,477,374,192,841,401,757,608,913,087,542,439,788,714,507,849,634,776,
195,989,433,777,656,738,711,468,524,613,574,849,954,259,268,642,676,662,949,
652,617,760,388,880,889,405,969,716,841,183,659,799,566,510,658,398,517,205,
556,499,120,840,722,339,001,014,789,002,779,863,198,017,956,664,253,762,228,
225,825,271,225,162,973,689,607,029,588,857,165,387,780,952,604,392,875,487,
153,489,511,973,681,212,995,922,783,212,263,710,247,415,187,900,242,040,464,
417,230,660,002,772,020,206,616,081,975,346,530,607,328,619,786,098,766,210,
747,685,299,806,187,558,192,761,811,246,734,847,780,748,001,686,418,385,416,
236,735,362,547,196,297,015,908,334,445,076,014,806,496,623,990,883,243,615,
572,660,258,946,832,759,350,771,192,962,130,492,995,704,428,349,393,264,072,
641,302,937,246,385,522,485,187,836,853,538,391,414,464,746,778,379,417,257,
687,413,089,563,222,177,985,427,672,204,448,166,036,325,702,289,914,059,081,
119,742,359,627,375,441,547,394,084,237,558,311,319,037,379,526,785,303,308,
699,519,396,120,683,484,740,170,040,860,554,474,596,203,443,981,801,077,963,
771,581,712,343,477,264,161,741,829,489,981,480,450,314,608,886,877,156,884,
374,821,025,381,249,866,438,530,685,202,448,331,297,709,384,871,290,946,729,
187,097,502,993,966,800,470,081,620,519,671,689,190,675,125,426,918,059,490,
236,814,183,729,773,330,124,559,127,725,681,678,188,277,017,207,020,670,570,
247,857,453,587,573,951,009,757,062,549,107,824,408,317,420,198,339,809,326,
582,151,676,653,909,388,989,607,084,819,313,502,344,107,538,815,969,822,474,
953,027,402,169,376,713,226,751,472,457,966,273,957,196,391,938,916,684,799,
805,482,305,512,064,778,329,894,120,461,116,525,105,553,636,027,936,657,160,
676,152,478,965,919,422,380,337,346,954,414,529,953,961,693,847,283,349,007,
032,227,447,748,639,257,128,113,959,629,647,273,575,856,001,587,773,798,038,
548,710,406,012,062,072,591,527,928,125,236,358,400,128,330,476,490,158,002,
593,235,960,219,430,711,771,125,871,558,800,278,896,239,424,595,484,086,744,
311,797,992,895,465,940,014,300,679,736,359,388,470,496,946,262,371,020,466,
004,196,058,378,943,259,942,623,553,958,396,111,825,886,550,640,047,173,981,
307,483,441,413,888,015,042,157,830,288,085,547,381,210,800,118,179,682,710,
458,020,107,462,946,891,140,005,613,776,801,063,153,688,227,992,441,688,847,
386,377,712,537,101,045,260,592,162,587,962,914,662,527,399,995,089,355,466,
530,801,377,390,368,736,973,969,871,181,219,636,626,467,439,281,028,274,109,
411,133,953,653,111,845,976,633,704,642,757,744,401,313,025,206,127,417,278,
455,162,057,418,413,507,716,586,552,098,477,517,673,941,230,967,710,185,990,
244,140,189,220,926,504,089,363,888,155,178,924,963,064,251,849,775,859,341,
690,275,482,652,717,233,406,776,278,998,604,640,976,547,069,197,662,434,221,
438,948,702,838,107,498,460,538,573,783,124,619,195,806,956,011,607,103,251,
355,658,349,598,799,503,688,979,514,003,852,133,851,596,763,497,371,811,439,
970,513,571,001,991,419,162,593,562,356,481,030,001,967,835,494,210,875,277,
203,628,474,063,361,791,326,545,422,127,587,205,014,401,728,206,179,082,486,
239,671,294,968,059,532,285,174,478,332,196,862,484,955,705,901,737,708,308,
491,335,503,995,491,821,415,690,459,660,637,713,172,590,836,589,657,948,261,
350,548,570,610,795,749,749,264,494,989,533,761,151,900,775,902,610,903,014,
175,291,192,157,229,052,905,905,134,047,447,666,312,183,082,212,102,015,912,
324,025,434,919,925,838,694,209,224,449,015,607,711,156,512,080,320,527,941,
272,324,499,427,933,755,568,294,334,351,640,315,025,622,734,512,591,460,840,
054,117,854,580,385,416,191,567,379,560,271,004,633,393,672,697,266,498,595,
748,705,715,903,319,755,112,220,330,305,515,688,694,229,482,091,418,943,377,
209,420,033,864,786,825,474,636,487,665,810,026,743,932,921,022,314,733,320,
229,332,311,741,825,220,229,799,544,626,089,827,830,426,723,288,270,360,556,
294,155,839,602,049,952,581,453,368,397,132,821,219,373,704,584,963,720,874,
994,994,847,325,049,233,686,576,751,044,147,635,935,707,740,989,783,661,973,
732,017,075,667,371,941,677,223,376,847,037,924,088,565,858,809,142,382,904,
223,585,822,044,666,786,017,418,170,053,911,643,828,480,846,736,071,298,379,
885,764,259,542,494,169,452,885,603,291,653,824,014,593,613,363,289,954,700,
228,048,323,396,527,645,938,800,164,561,422,431,076,155,823,150,396,505,785,
187,553,351,799,196,678,546,874,168,810,104,260,896,116,810,282,076,436,625,
745,789,541,483,281,337,418,018,782,354,706,748,271,207,639,432,715,587,482,
403,565,595,804,799,295,041,374,931,370,349,193,358,479,591,686,375,794,987,
215,411,395,587,372,301,580,728,479,531,611,658,100,507,964,242,856,986,723,
988,922,722,648,156,576,581,076,453,270,362,562,282,576,953,414,027,457,223,
877,773,918,302,172,259,928,884,362,129,997,782,208,627,975,630,944,430,638,
508,649,531,791,303,701,089,790,855,266,453,771,412,014,092,727,188,856,962,
147,379,633,846,417,367,551,079,785,572,653,247,448,082,227,363,022,019,344,
499,253,652,402,220,465,217,678,310,799,694,489,372,884,832,745,822,164,218,
203,540,392,748,876,182,667,330,927,356,252,656,548,284,186,760,306,739,490,
249,923,652,471,513,315,277,296,332,449,874,393,979,242,905,873,604,395,132,
526,812,498,268,589,885,411,468,585,163,234,384,311,669,887,730,767,501,096,
750,057,281,618,657,250,176,309,851,151,572,154,616,986,111,830,143,121,159,
966,065,079,994,850,387,133,059,173,537,717,951,096,835,807,229,480,688,748,
456,863,039,848,220,352,376,863,256,508,518,113,300,621,542,855,200,294,199,
608,598,290,781,201,479,162,745,864,844,707,300,169,822,743,318,117,544,782,
877,372,972,170,487,849,019,409,088,158,765,735,705,562,447,637,868,727,931,
582,485,346,762,758,184,289,093,242,170,875,642,685,572,321,713,413,161,801,
415,135,654,481,515,613,689,310,395,240,343,250,241,329,592,268,307,614,796,
535,133,573,662,673,675,277,757,108,126,554,609,284,746,748,437,331,822,720,
896,830,978,225,928,300,019,368,657,293,747,982,957,210,235,500,321,106,645,
248,402,836,247,157,590,881,805,980,938,148,041,587,153,317,127,710,615,582,
773,302,136,231,717,560,408,754,659,811,119,680,791,939,237,172,678,208,160,
451,870,950,622,786,850,819,027,668,530,821,293,242,842,432,848,559,153,159,
941,006,387,646,835,491,857,207,323,758,581,430,567,474,535,009,585,370,747,
715,115,892,367,703,726,288,011,041,986,095,730,692,864,185,889,992,839,784,
541,058,331,059,604,504,479,480,494,874,783,359,111,374,581,162,276,957,923,
702,420,494,419,032,884,720,289,853,578,820,057,942,359,510,963,295,779,338,
922,552,972,796,929,097,862,573,924,315,485,530,734,376,842,709,721,279,894,
737,245,795,562,791,289,042,525,947,529,355,978,373,083,123,141,214,898,494,
037,873,626,263,461,119,533,678,916,094,239,469,251,535,192,218,700,618,368,
895,469,936,532,671,523,992,282,138,125,185,850,224,586,616,054,873,623,212,
942,852,453,961,377,077,538,144,166,355,786,822,160,516,854,104,190,005,390,
662,734,033,233,253,279,362,687,474,458,537,171,153,576,430,275,770,236,105,
691,743,179,625,231,748,100,820,950,521,300,308,480,388,746,917,512,277,816,
833,117,259,516,773,048,101,096,494,930,201,087,609,080,879,049,046,552,418,
689,482,541,687,280,053,819,148,283,676,484,305,144,550,204,937,465,573,835,
490,822,568,860,139,079,216,656,894,719,203,929,880,911,995,230,072,679,656,
292,058,739,070,504,821,184,464,605,504,765,176,838,511,988,457,155,702,811,
133,963,963,871,830,641,056,118,632,785,548,872,651,284,357,110,571,333,958,
666,792,103,752,712,016,345,692,575,633,658,790,474,234,701,913,841,523,665,
812,184,894,627,006,802,074,350,685,221,343,156,013,010,190,884,085,270,723,
445,553,631,959,402,842,709,202,889,960,018,281,089,660,007,622,850,485,386,
932,070,377,899,841,904,609,411,848,650,794,738,716,415,634,742,784,665,456,
534,408,159,249,024,141,326,773,116,531,873,538,123,517,976,596,944,554,370,
707,841,223,537,475,801,973,866,675,771,739,101,030,624,351,692,297,295,217,
980,336,977,360,741,633,574,938,524,081,683,327,287,405,488,918,428,655,251,
521,909,949,616,153,159,688,969,902,355,597,320,626,171,535,498,488,456,961,
716,034,581,121,867,654,059,832,209,638,756,026,878,714,841,968,237,133,030,
438,884,387,838,775,623,483,052,881,388,402,262,087,204,730,372,365,435,061,
343,387,444,288,060,498,497,819,964,950,220,155,637,233,322,461,083,517,659,
341,566,088,517,508,997,623,393,518,145,440,432,167,712,058,909,106,155,431,
631,762,433,203,615,631,609,089,821,250,413,172,074,428,451,442,722,549,912,
310,660,138,430,094,934,007,849,983,167,658,942,168,084,113,913,298,584,175,
088,500,950,677,580,026,388,817,515,979,246,179,245,328,527,858,031,115,028,
210,391,182,950,505,039,227,687,735,191,381,655,603,229,440,760,861,598,734,
318,136,970,368,183,791,004,479,604,570,568,893,448,137,544,837,877,879,156,
955,087,207,491,004,633,288,610,216,285,293,662,812,437,627,536,513,052,551,
431,969,242,341,277,858,327,232,756,995,313,717,557,698,907,398,434,749,132,
729,142,614,652,221,501,191,988,612,263,005,381,431,195,805,883,436,525,534,
561,407,329,289,284,694,743,024,005,717,782,479,766,728,456,687,020,916,064,
835,175,303,464,190,290,277,480,739,523,038,109,812,422,388,003,410,054,752,
046,886,557,930,272,577,922,694,897,607,438,511,636,702,216,214,977,913,295,
085,755,103,656,782,667,247,104,782,385,155,781,952,558,700,390,365,138,215,
445,541,927,152,008,611,735,803,248,689,776,496,292,201,453,284,216,726,266,
175,325,571,628,292,864,187,924,322,159,014,375,158,188,790,055,301,426,269,
897,001,271,549,071,476,366,557,098,502,376,563,826,240,312,066,013,497,388,
899,530,325,017,977,930,055,477,228,752,865,048,312,603,017,375,616,505,038,
506,795,879,720,070,863,461,368,077,474,802,879,444,855,923,013,568,746,786,
954,866,150,646,418,430,392,038,373,618,096,619,002,912,824,345,738,355,394,
277,706,245,527,277,666,630,606,879,179,776,215,482,487,291,338,296,478,383,
330,762,653,319,218,478,544,178,655,565,228,630,018,219,143,126,108,259,291,
838,037,884,716,058,827,425,159,511,113,747,338,358,664,431,569,481,274,552,
970,931,047,771,445,297,578,169,670,607,324,517,439,584,637,812,035,355,685,
276,718,672,375,194,438,104,597,162,128,393,839,332,465,319,523,373,329,697,
855,880,393,868,293,074,882,634,012,021,076,118,836,916,067,074,873,291,862,
762,636,704,737,428,593,412,912,572,620,311,754,839,792,441,080,326,729,247,
404,457,935,561,718,113,832,685,563,728,058,763,281,142,814,331,723,123,547,
308,992,578,349,844,787,649,364,416,400,139,842,577,777,416,915,678,261,040,
278,368,104,061,686,291,408,508,221,337,870,770,601,656,223,443,974,347,769,
752,586,271,232,953,117,868,081,767,457,885,794,739,130,614,723,914,277,690,
081,480,334,678,601,260,931,969,049,739,030,863,950,144,501,756,607,554,993,
441,420,637,874,463,410,559,034,432,955,713,594,053,229,391,636,645,812,730,
504,949,511,151,722,686,899,397,179,980,259,034,708,135,836,238,493,960,867,
268,073,300,896,068,832,329,376,183,112,693,696,894,197,347,531,005,191,225,
510,903,161,101,002,870,309,234,541,450,420,302,226,341,032,287,953,354,259,
526,307,163,318,358,233,799,942,250,514,246,033,080,430,266,578,334,885,564,
635,056,836,700,218,195,268,165,729,075,674,379,195,904,028,783,718,534,819,
442,644,728,240,755,362,007,236,235,915,259,489,524,303,113,883,264,353,520,
078,838,607,017,066,159,274,887,004,249,115,621,085,824,267,510,191,202,522,
395,615,614,239,870,551,568,220,327,647,540,286,730,250,738,426,110,219,136,
715,866,828,868,182,817,280,675,872,700,169,146,144,538,025,189,658,000,627,
942,903,383,158,183,583,115,590,949,760,469,165,948,622,709,817,561,267,266,
239,459,223,185,101,688,514,443,548,592,198,378,637,857,919,209,573,258,503,
589,352,644,881,495,965,693,090,485,028,334,376,879,779,902,431,210,990,266,
576,526,116,601,669,424,187,531,727,192,317,401,954,052,832,461,817,747,662,
799,783,951,798,876,932,508,170,527,502,741,313,676,862,493,102,243,297,028,
443,583,986,058,959,117,139,340,679,122,003,099,159,115,814,696,994,304,278,
788,902,414,868,673,458,827,870,001,470,996,592,872,153,541,260,104,174,871,
641,584,083,181,825,662,162,042,897,380,225,909,064,985,302,925,665,522,813,
508,145,060,964,102,705,314,977,393,194,393,703,923,158,960,216,953,501,188,
690,899,226,142,820,575,844,371,728,372,120,578,262,936,947,601,557,992,829,
665,309,878,302,870,990,628,328,667,636,637,422,369,706,522,158,963,880,775,
449,372,182,695,172,001,655,353,168,087,251,604,626,730,006,901,410,060,030,
065,936,489,458,042,946,774,526,696,165,132,002,940,449,320,852,776,802,008,
219,094,063,602,264,988,302,583,495,380,151,859,561,971,709,386,799,848,204,
715,540,857,505,297,697,448,104,257,237,487,808,753,605,261,015,190,631,221,
013,046,125,377,527,386,732,275,445,533,486,675,206,409,180,005,171,335,261,
908,674,030,569,386,799,829,951,949,793,645,449,866,830,611,177,643,401,486,
638,770,376,427,120,257,016,874,545,880,364,969,598,603,514,077,900,803,025,
453,591,909,734,275,707,790,023,691,676,402,565,898,303,720,227,337,197,665,
204,842,735,061,513,177,048,438,980,554,637,264,867,529,575,029,017,661,055,
769,602,385,001,301,936,554,905,784,975,588,757,189,947,503,819,916,585,836,
533,035,416,204,213,142,557,164,974,496,779,950,808,981,057,907,004,864,008,
121,681,379,486,749,174,994,373,919,913,321,904,173,984,314,608,842,299,535,
846,497,054,566,532,474,109,670,382,391,456,165,963,280,447,290,286,421,517,
177,817,997,265,033,820,480,618,251,256,464,624,105,792,140,950,768,298,011,
598,470,219,795,458,413,694,541,555,688,411,771,426,271,101,302,014,057,716,
056,797,857,890,755,031,754,067,120,777,636,014,723,651,545,752,371,744,705,
379,660,475,609,221,870,955,291,166,094,623,666,639,727,542,197,524,342,377,
416,532,622,263,774,015,676,972,921,583,592,468,008,486,969,082,275,811,787,
921,866,702,242,022,496,047,917,188,389,855,022,669,487,154,591,898,335,551,
567,040,261,285,683,261,061,027,808,011,690,380,118,684,672,076,402,253,411,
010,950,023,563,818,445,318,811,068,926,789,502,679,348,537,802,176,088,855,
425,704,118,989,739,519,361,339,955,165,482,366,284,713,775,495,687,743,250,
407,866,267,627,020,692,188,984,752,004,131,307,946,489,143,087,952,391,033,
152,046,315,114,647,210,699,971,546,112,838,176,092,521,792,616,575,208,348,
248,299,365,072,955,862,386,610,121,670,027,150,223,087,707,305,364,015,288,
122,661,325,675,125,650,321,531,821,895,861,821,651,239,387,800,529,145,518,
561,584,656,397,419,392,529,044,285,230,579,792,569,384,953,190,350,934,229,
996,459,966,046,529,368,721,598,451,563,048,316,808,575,038,953,814,187,461,
001,329,334,664,257,198,637,001,717,069,887,867,298,546,213,744,396,885,997,
728,346,729,021,679,153,985,223,619,152,021,133,489,537,109,931,442,621,167,
217,554,277,865,446,673,584,026,763,561,674,030,164,866,344,317,778,157,651,
202,007,190,947,809,275,218,675,663,319,583,657,420,338,385,665,802,283,010,
610,058,828,974,623,990,277,710,103,681,902,530,098,040,702,359,102,304,883,
256,437,337,566,558,455,317,831,281,812,256,934,475,403,982,581,216,354,814,
139,361,389,467,601,797,794,161,733,139,249,722,018,757,639,446,435,369,439,
853,858,456,683,156,823,770,649,700,539,487,427,064,644,357,036,723,397,424,
091,891,224,929,865,768,689,940,244,897,356,535,892,720,801,625,356,834,748,
535,661,231,798,670,521,322,534,404,383,282,594,714,660,414,484,682,067,660,
074,700,062,782,046,262,242,657,942,400,292,530,607,943,126,372,729,618,321,
680,408,713,857,691,696,990,267,142,872,869,873,235,427,457,291,017,298,874,
277,118,349,707,565,127,754,271,746,803,543,244,490,955,497,847,636,411,326,
211,670,793,540,036,631,863,616,600,050,801,957,187,435,786,254,048,919,130,
742,728,378,988,759,066,105,950,240,820,072,282,655,932,510,230,223,870,059,
010,836,962,790,868,652,209,437,051,394,048,448,215,799,001,134,075,329,074,
456,652,401,951,610,250,615,528,996,900,884,081,090,097,722,740,228,543,521,
387,772,150,694,398,470,022,923,622,144,044,968,798,856,878,068,342,532,776,
710,332,336,352,178,588,674,617,622,018,133,378,911,182,291,114,216,542,481,
492,240,855,890,890,070,231,409,860,731,744,168,671,797,102,813,909,570,197,
411,677,169,069,348,582,720,408,039,586,741,171,723,402,521,988,251,010,551,
620,577,514,345,620,274,885,821,151,885,520,528,918,745,166,844,683,511,588,
104,070,090,249,307,389,580,325,403,323,481,006,276,198,053,233,441,306,939,
025,799,102,204,024,795,358,701,609,235,958,228,435,135,744,508,449,575,051,
739,219,984,546,805,847,715,919,430,657,851,002,237,651,632,566,895,741,506,
985,289,299,432,616,224,360,134,607,295,863,210,272,575,390,736,566,073,952,
836,549,004,612,640,320,805,262,789,395,412,813,700,997,195,980,163,230,383,
349,086,759,572,322,200,958,117,861,002,950,163,088,718,429,090,938,741,563,
301,188,109,827,639,209,024,914,205,143,949,205,122,398,676,208,113,275,518,
649,360,367,330,240,161,469,923,422,596,810,574,923,426,512,395,413,017,069,
639,152,941,147,648,914,972,588,856,551,396,660,648,299,617,583,658,524,147,
130,096,707,234,439,615,867,136,466,623,591,119,718,283,391,492,219,265,230,
494,506,169,081,499,586,447,892,543,357,443,566,672,327,177,704,475,811,873,
321,734,644,363,615,863,744,246,676,396,512,925,016,759,997,986,823,653,689,
208,681,316,709,696,307,956,138,216,849,251,080,704,084,524,123,007,490,158,
833,503,975,263,924,965,650,766,610,428,529,331,413,441,973,926,027,931,570,
621,847,971,281,890,501,788,273,190,072,597,640,601,174,042,663,358,701,575,
972,577,658,521,012,858,504,232,976,284,191,793,235,715,365,146,557,837,934,
914,907,134,318,267,001,612,891,702,245,434,808,012,804,894,661,071,356,114,
471,896,842,133,661,926,298,959,682,702,706,536,130,297,359,845,877,599,775,
409,982,510,587,613,937,089,110,856,536,364,461,457,876,831,653,761,466,385,
535,617,212,616,523,745,803,693,670,132,273,158,519,543,175,532,892,245,028,
938,345,535,922,077,211,565,651,372,898,698,130,038,926,755,440,840,445,865,
580,498,158,189,584,456,961,834,613,952,966,924,576,661,246,793,820,466,972,
550,991,316,290,260,105,639,039,616,671,270,474,973,167,648,829,612,562,273,
064,447,606,918,721,402,570,112,719,922,774,363,549,258,166,607,224,256,655,
240,835,473,739,104,132,601,584,947,712,845,099,331,339,366,592,195,224,760,
776,955,939,523,863,436,568,544,972,812,066,193,355,013,925,828,471,106,915,
756,818,057,187,433,790,855,735,244,699,974,461,706,213,704,019,998,358,554,
776,757,137,012,107,294,963,896,790,324,822,763,578,617,900,644,206,325,330,
116,063,981,359,197,827,041,897,754,100,717,424,274,725,466,969,089,884,567,
356,330,121,968,415,069,608,329,060,678,728,303,516,659,329,702,149,709,881,
705,221,996,196,259,398,707,927,685,275,308,425,768,111,204,344,656,412,111,
798,206,552,711,051,284,274,095,407,723,606,759,894,443,437,257,523,857,136,
627,197,079,516,667,913,949,260,373,828,664,575,495,751,613,246,762,771,700,
239,750,455,652,632,928,524,939,640,573,334,939,216,153,850,515,713,552,441,
801,980,976,726,893,537,891,178,413,835,617,905,872,957,805,081,964,539,322,
038,853,249,514,790,993,916,063,806,685,477,637,592,580,821,019,890,419,565,
766,710,021,017,953,500,000,902,300,396,114,724,537,586,796,337,448,721,015,
077,911,688,389,679,678,322,187,231,984,232,967,749,318,357,042,437,117,899,
493,369,267,377,964,056,274,349,179,713,278,604,179,233,240,795,582,016,474,
521,263,081,238,661,817,249,022,830,901,162,299,368,682,436,726,196,739,775,
000,578,395,124,537,197,552,492,898,361,669,545,477,834,678,584,801,930,011,
180,371,461,586,353,182,212,605,608,285,731,851,543,125,922,964,755,603,376,
929,746,478,622,086,649,957,544,528,063,678,737,242,047,078,791,943,106,981,
835,761,859,775,437,089,393,832,465,600,374,868,940,904,433,901,584,202,441,
028,371,848,857,062,371,201,724,860,256,243,079,302,937,392,864,316,477,414,
774,312,734,933,161,999,685,985,609,633,270,394,682,092,056,846,673,945,531,
804,933,373,194,161,212,304,397,738,415,662,046,592,124,500,146,977,711,872,
336,399,841,958,373,209,253,586,713,087,546,080,137,936,510,359,592,874,618,
123,478,949,982,406,149,971,746,635,910,943,297,545,512,358,533,461,316,963,
997,734,921,511,204,162,098,431,976,430,154,152,300,242,417,631,701,408,935,
461,622,452,210,361,008,080,674,150,748,174,007,307,526,942,610,384,481,844,
298,685,321,681,768,051,585,999,508,250,376,253,319,766,662,578,690,439,508,
551,869,181,379,083,598,347,166,245,073,264,675,878,884,041,889,892,088,085,
888,869,510,588,748,190,094,390,742,822,386,563,744,511,434,605,051,539,949,
954,939,680,308,050,327,666,391,743,813,295,183,520,819,143,767,486,065,536,
566,451,271,477,756,933,830,252,888,747,295,442,030,240,791,523,892,022,686,
614,197,803,288,615,747,883,993,133,526,122,926,631,478,639,729,770,876,785,
392,345,869,797,879,746,089,770,870,035,687,408,996,672,238,738,853,715,085,
211,404,509,919,157,635,761,990,888,451,950,116,581,977,544,240,512,141,085,
200,403,936,964,856,319,748,303,327,191,707,773,076,893,949,489,435,590,537,
315,623,418,766,707,845,274,456,131,144,483,818,911,627,207,678,702,652,907,
216,837,865,667,699,041,553,338,700,341,480,221,995,030,636,857,727,498,927,
278,920,110,721,752,936,268,154,274,738,267,859,638,747,457,211,362,367,094,
482,574,415,369,568,705,229,397,353,643,406,619,553,029,056,245,016,005,451,
651,295,900,380,238,523,515,942,348,431,072,921,503,755,196,227,940,294,180,
192,441,564,047,790,140,810,516,377,138,711,284,228,362,876,065,667,414,178,
517,619,296,181,708,854,853,078,033,872,175,627,285,225,292,993,734,271,601,
747,185,882,205,479,781,720,767,450,988,762,970,688,771,861,980,845,601,071,
947,090,714,761,637,529,331,794,044,478,710,266,558,666,366,064,679,982,843,
955,533,201,593,017,213,523,280,937,433,184,756,881,610,652,241,742,383,812,
410,429,529,866,269,971,667,831,374,668,438,375,712,458,859,111,092,518,610,
772,272,317,892,078,157,948,971,765,974,070,499,276,564,171,188,923,282,898,
738,552,207,755,006,918,397,940,063,535,787,008,995,756,200,730,586,655,012,
377,646,784,840,049,517,863,298,827,034,352,729,778,296,533,308,456,707,112,
958,965,247,385,503,795,788,005,114,062,002,309,474,436,021,171,835,741,414,
810,040,131,094,495,724,733,356,269,976,659,440,836,320,437,342,807,218,012,
839,503,892,303,351,098,161,291,322,854,296,487,413,085,544,961,940,903,005,
092,400,701,134,465,959,524,655,115,343,509,506,330,589,302,350,095,747,152,
138,165,291,556,812,591,542,665,041,135,966,882,001,450,355,369,128,036,958,
105,936,521,054,453,965,608,399,929,131,725,769,720,769,046,773,869,082,759,
013,185,698,798,002,663,148,270,026,435,897,134,483,997,827,406,609,507,091,
399,852,714,744,767,401,573,413,032,811,321,238,115,554,963,306,265,079,738,
837,285,509,960,218,358,882,385,072,861,422,422,197,203,016,028,321,023,098,
690,700,796,434,241,727,565,222,492,434,763,299,636,162,901,759,998,321,487,
373,146,164,257,473,205,071,758,032,250,757,530,157,547,582,694,530,714,369,
546,440,412,772,534,971,949,832,008,518,620,670,199,072,936,875,912,356,325,
098,844,885,119,202,178,197,040,778,127,293,043,541,477,995,273,077,373,706,
943,062,063,920,040,806,703,787,653,562,347,124,046,334,965,856,953,703,213,
942,714,959,838,398,087,146,508,651,228,854,904,716,171,194,082,328,301,112,
130,645,336,719,898,223,286,500,562,829,320,202,116,039,844,868,562,278,011,
161,051,000,738,382,171,293,984,552,031,740,979,874,069,255,945,134,145,456,
069,259,523,855,734,459,725,626,200,868,862,914,224,665,360,602,175,867,416,
945,305,620,326,259,002,874,883,046,471,516,958,371,083,063,530,777,876,493,
493,654,872,483,046,067,667,209,851,046,102,030,312,647,947,664,869,985,007,
454,457,727,085,993,938,978,318,888,717,461,495,354,785,641,916,882,143,584,
855,437,074,957,334,163,536,447,630,248,841,066,930,024,830,525,209,848,296,
345,052,542,315,386,848,772,186,260,378,911,835,806,057,698,541,053,609,090,
319,144,730,030,509,639,806,267,529,042,129,907,063,403,346,253,304,292,011,
627,753,368,072,442,206,423,848,929,684,281,540,959,225,343,148,163,052,112,
967,054,700,931,604,745,159,416,772,514,331,051,482,459,156,524,223,809,084,
169,237,150,002,887,122,745,040,559,025,821,855,320,366,149,611,155,522,230,
216,866,302,392,906,006,378,615,099,711,453,290,089,423,658,047,095,323,254,
501,545,638,838,116,418,855,865,301,796,425,484,509,186,030,018,854,500,317,
283,946,481,876,243,620,837,999,735,627,806,225,899,757,231,585,215,205,707,
392,499,739,183,353,293,646,269,639,327,053,766,967,156,072,626,094,587,012,
322,662,476,320,334,604,356,710,363,697,359,255,358,279,696,089,104,382,302,
109,103,203,021,018,260,850,677,580,527,217,267,877,202,224,191,650,499,738,
805,963,404,969,589,753,111,178,152,473,561,151,542,980,375,551,121,353,680,
115,615,613,080,396,789,520,739,700,074,943,855,264,616,871,576,072,679,673,
101,220,206,796,641,469,207,553,352,818,132,557,549,176,408,471,181,310,496,
730,820,802,205,609,200,737,064,808,602,909,551,301,651,535,884,863,464,872,
066,819,342,090,302,070,871,826,620,066,039,319,213,864,498,902,750,829,370,
953,314,507,419,228,116,592,256,388,739,647,099,008,609,747,277,569,383,022,
614,611,637,956,791,535,326,058,492,718,065,531,037,844,499,908,138,211,592,
102,315,793,783,215,384,630,754,967,473,341,700,635,403,794,468,076,973,703,
044,452,984,620,440,458,686,971,229,282,617,511,826,551,694,924,321,153,199,
004,260,331,279,376,053,257,263,707,734,806,986,608,276,812,224,886,880,757,
192,872,654,277,177,751,408,472,824,031,319,226,216,199,062,888,759,913,685,
795,508,566,693,755,083,703,188,830,455,457,290,493,113,611,322,635,542,946,
201,516,946,823,305,739,883,557,014,360,373,065,378,762,605,535,589,809,506,
841,925,727,158,323,684,922,861,357,410,405,301,399,543,822,532,727,644,921,
216,054,880,629,225,771,527,647,831,239,950,134,704,507,888,787,913,915,579,
385,046,592,692,703,643,622,344,252,058,439,054,959,563,823,635,825,296,892,
254,376,239,815,127,906,965,603,279,754,093,910,730,123,482,971,414,610,889,
933,164,492,404,004,706,964,953,915,120,592,817,824,673,006,988,771,275,148,
367,691,932,148,213,354,541,794,340,428,292,912,376,197,036,157,359,696,684,
018,868,525,969,027,633,550,591,924,709,740,352,367,587,306,456,171,993,934,
559,818,863,356,530,388,005,240,457,772,444,954,601,324,514,202,789,026,254,
356,284,937,160,023,918,493,241,894,362,633,770,531,803,277,008,707,615,325,
439,357,765,335,099,958,162,621,900,925,158,544,775,998,156,177,860,048,835,
471,468,717,320,461,695,130,779,773,421,268,627,979,395,068,559,533,233,647,
483,412,982,137,922,012,437,641,896,859,145,744,915,901,978,820,578,638,026,
901,847,373,242,274,800,778,348,810,944,201,874,685,703,368,951,811,278,292,
463,520,676,653,292,824,480,384,019,741,091,598,460,715,434,347,077,485,461,
746,764,348,983,117,065,058,956,311,609,280,938,915,517,294,655,066,997,177,
204,023,089,438,559,503,784,881,529,348,942,966,792,865,825,116,255,092,878,
398,494,940,965,969,166,294,899,318,227,345,026,744,788,281,831,133,719,427,
329,167,679,425,821,041,000,778,295,327,422,947,130,104,146,156,822,620,950,
088,388,193,091,506,288,741,558,372,840,312,913,862,757,046,067,036,756,577,
618,816,565,883,857,412,252,919,304,326,609,329,013,859,692,010,202,337,458,
964,891,088,940,466,195,403,737,419,241,424,681,332,974,902,411,089,252,626,
301,979,167,413,112,556,654,865,530,200,524,475,113,801,002,199,008,491,765,
711,470,187,847,884,821,902,851,621,674,187,659,723,101,881,536,678,593,472,
129,809,795,922,645,177,865,895,260,453,867,737,054,103,588,836,034,932,932,
668,893,068,611,911,964,413,701,171,867,962,319,843,208,124,527,759,570,931,
890,295,593,665,783,049,185,990,707,739,203,987,574,273,639,683,314,844,270,
417,964,847,092,109,359,635,102,804,406,602,513,167,183,854,368,789,349,469,
840,762,511,532,926,639,050,853,531,114,427,366,231,399,105,047,250,706,521,
358,676,573,039,036,685,731,834,935,473,671,973,888,622,887,579,480,966,691,
822,558,932,046,459,489,228,002,690,468,074,328,162,529,987,620,380,996,266,
317,577,222,515,301,200,498,754,073,015,740,210,224,045,843,431,521,660,149,
884,548,941,851,132,647,733,296,820,166,167,956,330,931,185,553,927,230,435,
448,379,461,736,252,194,936,627,218,331,061,256,764,200,934,939,093,472,289,
431,199,068,246,402,054,032,713,898,338,282,577,320,027,521,515,625,893,406,
764,892,002,193,388,373,560,703,208,300,035,217,786,778,075,715,124,098,716,
758,985,006,111,570,356,170,788,342,127,306,603,740,255,026,732,512,919,469,
587,772,654,955,657,267,935,678,370,443,700,357,991,440,870,246,761,345,728,
003,859,752,183,339,836,559,103,840,723,823,492,748,010,405,790,392,002,572,
264,239,523,836,109,652,903,902,811,534,969,385,116,160,188,057,172,037,390,
584,639,782,958,987,372,659,038,733,959,097,845,150,083,276,917,613,921,266,
369,674,546,301,268,852,314,725,131,732,988,604,822,926,344,187,502,819,870,
419,042,378,599,062,465,771,553,768,125,626,978,802,878,272,595,826,194,163,
631,732,514,586,359,449,704,691,270,152,297,782,611,222,821,468,624,251,695,
626,985,312,602,545,814,003,272,284,079,059,260,838,765,421,211,456,570,462,
132,445,848,362,919,794,246,832,989,944,321,062,509,532,417,285,112,140,700,
185,562,513,968,265,056,815,200,986,959,050,046,903,001,452,444,671,862,321,
888,136,522,763,262,048,197,942,263,639,526,072,420,391,708,507,908,593,426,
956,346,069,710,992,949,685,892,049,151,021,408,893,629,993,046,177,334,589,
922,906,701,685,955,868,999,170,905,458,035,059,683,043,646,771,223,608,708,
907,909,235,334,116,643,551,788,793,686,610,235,475,767,459,347,954,030,126,
813,181,651,139,624,578,793,339,380,108,555,585,115,746,825,152,583,894,308,
081,014,601,375,045,294,737,187,783,373,168,222,736,173,595,888,337,704,917,
257,407,721,687,349,151,789,676,071,975,502,541,543,176,229,342,118,383,540,
445,020,032,613,732,335,682,166,929,917,569,792,609,988,776,613,265,571,021,
819,587,222,330,317,265,523,247,653,241,731,228,690,001,613,460,318,065,878,
029,003,027,579,521,568,420,384,395,561,361,416,606,795,494,479,126,610,054,
622,101,743,332,487,538,544,201,010,210,925,386,187,684,918,442,708,889,628,
293,573,013,250,869,685,249,836,323,600,042,990,401,991,139,728,124,479,984,
470,663,298,764,184,052,821,526,277,979,757,161,834,865,055,588,648,797,195,
374,507,550,347,092,789,465,844,843,194,721,734,196,086,130,064,896,537,328,
626,770,115,399,294,705,434,189,619,203,291,701,976,394,479,288,911,148,771,
957,193,232,692,912,209,868,374,893,452,586,307,117,435,620,316,108,332,657,
357,821,485,399,955,408,772,914,724,092,942,981,454,137,839,410,948,282,697,
812,158,791,410,746,625,210,408,403,744,620,947,770,897,607,063,616,606,632,
135,533,346,699,896,083,946,237,359,681,003,961,876,717,822,545,909,221,073,
225,706,394,206,409,368,670,212,223,753,605,258,329,571,531,018,313,056,057,
336,669,128,632,960,824,784,851,760,676,031,059,909,539,429,103,898,741,981,
408,527,881,709,973,417,188,977,067,410,088,638,327,264,749,078,916,333,394,
963,386,974,786,870,413,093,398,920,898,260,778,835,232,704,779,472,108,107,
517,184,317,392,804,470,827,069,058,373,205,420,071,943,193,940,962,799,847,
427,164,250,939,480,209,033,217,506,198,045,011,745,983,823,495,489,016,701,
108,752,095,224,584,492,959,235,137,712,141,826,855,868,777,758,207,342,547,
783,731,780,137,229,560,323,205,684,844,361,255,749,598,160,604,835,881,816,
376,658,494,318,971,739,853,731,736,635,336,146,087,063,725,074,617,744,261,
182,262,557,116,476,777,739,394,238,605,476,406,942,903,179,974,462,296,817,
763,284,510,332,058,675,359,172,733,150,905,623,391,298,531,758,758,755,131,
009,858,198,921,191,084,882,336,902,658,405,250,761,125,155,705,171,219,580,
304,216,281,738,298,827,933,225,715,177,277,455,547,203,691,941,296,160,352,
685,164,702,624,595,048,949,988,679,073,456,932,795,717,419,018,102,300,234,
019,700,706,693,882,813,447,370,979,111,728,492,922,329,148,112,568,983,458,
498,655,507,408,797,659,905,647,553,204,008,919,339,733,202,523,314,966,386,
142,646,229,455,525,539,188,039,965,877,519,511,016,908,532,578,474,077,038,
228,343,708,711,819,483,498,898,546,715,828,591,954,728,276,703,565,104,720,
943,068,028,826,844,344,077,869,649,877,968,018,196,118,103,943,539,384,945,
527,385,439,538,186,298,569,771,239,777,284,151,130,301,935,433,792,140,874,
612,937,414,539,942,581,753,432,259,767,134,394,075,798,653,876,901,598,033,
000,390,127,955,364,530,171,613,892,156,053,529,027,958,698,223,828,124,588,
359,895,561,354,344,909,972,096,768,581,678,878,242,991,069,651,361,460,411,
376,407,455,379,229,738,376,565,264,505,936,019,577,446,153,607,273,018,951,
170,960,328,907,187,716,830,078,792,751,005,546,340,043,462,423,302,394,166,
238,914,005,866,277,407,077,935,999,788,140,467,618,085,650,287,286,621,275,
562,181,086,237,064,588,487,012,859,836,576,007,448,526,873,341,794,069,543,
810,096,090,505,414,740,405,175,216,487,462,753,074,472,284,285,499,191,685,
850,776,963,645,681,471,266,886,028,957,002,003,396,248,924,474,073,266,256,
553,099,774,901,431,344,533,763,082,827,164,847,824,929,431,298,356,821,902,
056,894,733,041,852,261,232,485,106,598,976,281,061,052,355,393,899,709,087,
050,372,601,433,609,595,997,862,977,974,946,511,071,964,454,526,131,425,192,
730,309,076,056,649,966,868,821,462,094,097,642,505,574,806,809,293,785,348,
732,320,551,691,788,032,016,210,369,768,874,720,831,185,496,480,422,930,830,
742,800,113,587,099,011,963,028,102,222,244,402,567,240,087,358,020,756,007,
615,601,117,390,111,557,455,844,955,190,183,906,532,934,064,077,041,304,264,
693,403,694,583,476,948,902,015,118,070,877,306,455,207,185,408,786,307,526,
985,392,297,698,606,950,446,317,833,353,186,877,267,025,911,528,065,471,021,
336,861,027,912,091,716,199,657,292,403,114,189,844,684,744,641,221,383,537,
224,809,354,623,138,125,325,288,290,847,762,658,075,372,488,905,515,650,630,
975,697,848,709,672,777,720,209,240,175,321,545,331,072,867,384,758,818,208,
038,246,994,628,482,122,879,896,769,605,491,973,856,608,385,453,982,325,609,
293,714,137,293,851,422,349,672,120,723,249,191,978,006,832,075,735,454,201,
917,300,722,609,785,850,856,432,382,991,637,874,304,849,436,921,727,843,835,
017,626,088,098,845,905,049,752,974,303,059,947,124,719,534,430,556,946,958,
962,577,435,274,949,995,627,962,850,946,176,563,588,756,118,373,707,353,390,
331,149,378,712,261,112,823,013,804,311,516,294,390,360,501,386,055,738,374,
343,172,634,669,298,239,793,567,352,113,202,054,865,469,214,717,123,192,287,
146,361,076,369,987,506,647,168,861,777,337,678,222,798,225,021,402,403,380,
655,350,117,975,604,830,888,754,596,027,078,807,306,813,026,847,917,861,966,
228,541,867,365,519,698,800,846,284,365,183,717,394,185,738,917,734,650,554,
356,064,872,850,200,400,252,190,457,835,896,885,331,763,542,627,636,261,651,
821,927,547,631,897,806,550,451,056,891,306,013,170,814,076,702,549,701,511,
679,244,058,742,665,447,806,573,087,965,424,423,905,350,677,443,469,163,065,
711,204,107,986,994,082,234,669,232,573,647,796,342,064,654,375,342,664,687,
750,151,517,370,970,079,038,317,844,374,117,057,319,488,160,971,267,343,410,
111,058,573,766,852,323,506,077,596,806,696,964,975,024,079,194,523,288,639,
290,462,847,915,601,286,977,407,579,054,310,764,820,608,039,250,251,800,182,
689,551,857,512,116,035,001,753,392,368,754,101,138,885,457,548,407,155,833,
978,503,233,930,860,493,910,838,447,159,544,074,848,865,903,748,331,746,403,
927,630,696,220,834,413,681,359,840,210,395,302,489,980,652,589,340,055,148,
039,145,122,023,067,504,231,900,596,148,443,084,861,373,638,909,828,483,417,
085,185,240,201,339,381,193,509,990,766,694,311,094,838,180,635,037,696,877,
516,851,096,389,560,351,137,867,724,154,430,657,721,083,594,587,306,280,397,
211,628,038,329,785,920,589,822,612,287,483,968,332,866,663,217,438,495,487,
977,167,475,473,065,811,986,592,157,995,075,260,570,369,683,658,653,040,224,
214,606,308,495,591,689,836,016,347,001,613,668,636,052,714,202,002,828,987,
622,247,323,829,586,494,283,226,374,778,799,619,398,002,066,497,669,714,081,
909,731,565,829,377,848,962,973,587,140,783,134,189,724,972,944,253,167,545,
050,735,767,406,307,399,296,555,284,366,219,028,903,670,123,225,882,498,015,
605,610,689,582,215,335,253,931,901,572,552,449,922,389,635,395,444,475,102,
546,126,143,520,443,651,770,285,085,790,550,698,317,811,500,164,966,122,614,
234,221,231,587,832,543,975,662,155,140,822,426,576,571,244,648,339,027,607,
709,157,065,192,041,622,944,022,412,184,033,868,481,211,158,510,695,280,859,
866,041,396,008,112,513,845,170,591,007,104,491,161,742,145,959,226,272,367,
379,383,978,882,847,690,750,229,873,679,852,169,202,651,243,509,589,530,909,
900,374,460,598,809,029,987,015,169,414,652,054,420,135,881,616,202,148,878,
527,850,429,386,618,255,657,519,149,153,361,837,092,243,486,912,578,114,445,
660,094,905,565,685,577,397,042,220,270,351,500,582,586,984,964,460,213,700,
770,884,852,746,694,016,067,095,859,801,800,221,648,282,149,419,730,745,975,
939,751,091,497,203,203,174,006,923,496,948,243,029,231,570,241,071,082,018,
592,761,931,476,890,248,875,438,591,616,975,708,810,682,232,448,352,411,300,
270,819,983,686,452,622,052,928,422,631,340,805,822,321,828,361,028,161,521,
248,097,782,345,644,069,343,414,803,256,139,425,893,981,278,488,695,702,607,
677,269,112,247,640,295,056,602,058,851,276,535,004,602,710,565,829,302,658,
880,096,987,606,560,801,471,179,654,746,803,797,642,182,232,692,522,315,350,
999,553,568,675,758,657,305,512,298,201,914,353,364,417,176,482,418,837,103,
906,643,101,028,392,269,077,272,414,983,567,073,762,017,131,432,769,062,225,
291,777,828,224,699,229,631,405,900,855,806,522,362,501,520,515,576,240,314,
866,549,331,439,830,135,342,047,315,128,368,125,870,293,518,134,313,334,886,
907,838,485,463,865,950,439,202,925,047,823,962,524,591,925,504,720,527,502,
649,220,207,046,829,773,641,556,503,113,693,361,895,689,426,325,909,082,312,
747,361,412,021,542,704,114,175,326,793,812,590,352,655,600,623,700,852,806,
623,936,807,107,997,104,250,472,355,597,397,819,805,931,405,691,966,137,292,
178,146,745,085,265,291,698,927,925,130,813,071,777,592,753,614,371,667,519,
813,006,213,180,529,144,373,977,949,746,507,918,996,052,262,722,208,023,097,
489,503,260,692,205,119,351,347,397,645,767,983,663,591,739,988,311,520,754,
926,068,817,950,805,329,680,909,070,217,100,381,545,825,040,982,360,319,093,
389,231,053,628,822,128,788,004,426,678,715,185,123,560,667,013,353,089,513,
427,527,923,694,083,656,514,472,030,553,542,124,268,347,107,412,660,547,171,
457,488,260,835,204,732,898,183,594,320,559,799,627,983,264,692,616,903,077,
108,704,032,218,548,644,409,460,200,594,815,594,803,916,796,426,708,641,596,
058,523,705,879,126,991,206,787,317,201,414,433,568,928,012,627,953,895,273,
831,624,851,009,167,377,557,038,425,405,131,656,173,261,148,025,253,138,439,
906,623,587,198,360,021,786,286,179,099,664,256,216,863,938,815,935,503,330,
257,449,279,798,501,857,940,246,870,609,554,777,495,059,503,920,046,331,251,
127,014,971,201,221,463,932,211,872,352,387,305,444,715,071,713,520,475,486,
531,105,686,761,956,981,183,177,959,554,034,373,304,134,141,636,292,766,971,
953,831,538,710,600,173,553,031,232,540,667,536,165,039,292,516,535,350,266,
993,925,523,593,279,859,677,629,815,557,356,886,119,407,544,307,300,528,835,
282,830,921,874,788,817,446,822,330,686,559,431,097,518,935,308,375,776,382,
127,826,421,641,526,474,482,109,792,979,337,330,483,046,095,024,111,415,931,
803,143,485,623,269,115,473,306,681,512,741,005,393,752,633,567,466,660,883,
429,714,818,388,716,131,372,340,865,536,316,843,023,264,314,030,444,880,544,
311,147,463,755,673,882,418,845,730,782,521,747,556,587,397,290,324,805,710,
125,390,188,993,260,385,771,598,908,619,681,697,604,332,684,145,357,497,389,
479,006,023,178,891,089,507,033,383,001,048,862,121,140,394,488,030,161,752,
813,736,181,409,068,482,313,160,922,561,145,365,707,558,837,947,487,785,491,
264,098,007,399,294,780,969,241,982,414,585,649,791,016,581,610,031,340,353,
810,723,418,071,439,928,893,176,828,248,107,884,017,413,068,508,788,966,608,
873,408,696,351,652,025,856,938,574,739,431,919,671,624,476,034,909,657,701,
180,402,749,771,769,374,052,800,735,073,389,501,887,459,417,663,133,787,014,
574,692,021,942,161,428,225,039,824,574,004,321,399,945,677,231,217,864,819,
885,278,532,520,218,722,899,094,985,445,049,608,964,966,127,930,925,076,998,
775,482,721,092,333,614,398,235,561,919,130,070,038,702,693,226,551,252,273,
479,478,305,087,352,686,819,968,474,087,851,308,272,727,148,494,787,452,973,
214,882,315,940,299,066,409,214,469,732,937,257,283,591,606,101,841,487,075,
936,507,063,627,812,246,931,762,474,932,931,654,328,119,599,412,638,826,202,
962,281,599,225,306,339,434,449,406,355,843,415,351,507,568,672,494,687,086,
749,182,293,685,491,323,300,601,413,403,444,230,217,278,008,613,837,536,037,
908,764,451,223,473,505,908,723,817,146,936,015,929,740,193,688,961,639,135,
431,826,656,307,555,548,998,376,009,661,671,728,985,605,649,363,724,515,416,
828,013,020,625,412,818,959,507,897,231,823,936,449,475,384,231,275,137,457,
815,871,244,331,890,575,448,442,891,595,536,897,717,721,467,706,705,356,261,
600,735,138,180,910,023,807,927,526,102,453,773,901,617,586,755,493,167,877,
306,085,820,023,780,844,243,828,227,932,482,819,347,532,551,749,973,583,084,
604,066,014,592,316,079,539,298,366,293,098,549,363,566,159,927,180,909,082,
388,291,590,483,816,243,171,408,623,117,212,829,673,159,515,081,425,544,189,
998,514,802,185,975,220,679,301,862,139,832,261,442,861,407,564,407,207,461,
348,597,212,389,015,747,051,480,968,512,725,164,675,068,684,626,807,652,813,
578,605,768,818,095,145,275,057,751,987,615,161,428,357,806,526,064,423,664,
633,019,874,688,462,187,142,307,835,117,311,032,929,489,291,818,854,772,728,
418,072,062,231,360,356,351,187,903,928,009,277,661,723,209,778,716,277,290,
885,907,100,546,322,885,425,703,529,085,805,535,309,615,971,019,500,085,973,
680,551,376,294,828,891,207,377,154,478,435,520,616,592,034,080,687,076,630,
921,512,123,540,802,899,484,890,200,427,734,690,196,362,759,467,278,917,947,
332,139,535,090,873,959,763,634,084,156,887,491,899,382,606,520,184,362,431,
461,666,989,299,206,262,246,498,417,238,839,048,933,478,265,400,436,067,062,
190,486,282,489,776,991,442,617,196,058,086,664,365,514,057,731,025,468,039,
588,531,692,853,478,226,512,113,641,045,500,126,553,833,879,660,791,098,229,
407,647,126,890,219,159,231,272,406,029,343,631,602,474,667,573,149,740,320,
970,265,802,067,793,805,767,440,697,960,502,540,770,356,578,661,407,579,999,
413,509,132,245,813,477,097,619,899,097,630,670,777,495,268,176,360,695,546,
288,099,981,333,293,914,933,385,995,636,930,082,077,885,887,948,666,932,013,
406,759,086,235,295,696,348,864,380,488,958,759,359,316,825,025,743,297,091,
340,651,309,154,911,523,148,339,536,934,491,219,175,064,877,468,336,991,348,
597,204,096,165,975,321,438,774,962,270,843,981,634,918,396,128,752,664,911,
766,796,802,633,575,004,868,352,018,209,847,401,680,320,167,513,011,024,506,
061,927,038,008,018,847,031,511,308,094,742,047,852,889,488,353,640,633,814,
055,286,335,558,202,110,873,729,448,173,091,496,791,092,869,185,727,219,040,
470,906,212,522,593,095,609,194,365,792,246,210,058,484,080,345,033,949,075,
077,342,832,067,220,179,008,372,662,045,437,202,363,693,516,840,495,627,681,
940,223,929,133,872,527,296,274,614,010,208,512,468,156,012,078,837,617,720,
172,737,792,262,990,697,109,656,233,718,418,044,856,978,373,641,561,761,384,
139,589,886,387,130,367,681,072,320,555,155,757,999,773,711,694,887,358,553,
017,645,799,245,941,026,189,071,528,490,964,745,379,076,337,018,867,448,643,
493,214,888,554,478,335,558,400,404,078,736,206,424,313,811,234,465,541,042,
132,258,124,408,409,315,637,892,396,912,782,399,686,459,635,939,678,211,147,
023,847,167,053,802,376,871,259,493,405,913,154,460,524,829,368,404,537,036,
725,532,344,897,459,913,922,537,575,794,724,445,852,326,242,987,906,463,547,
541,207,305,223,324,679,135,599,369,826,466,260,035,011,758,291,577,337,593,
188,378,617,071,629,424,663,633,768,268,802,965,099,323,341,078,073,244,087,
639,511,432,465,240,996,742,129,047,349,020,847,700,421,772,935,673,115,146,
841,397,357,438,469,104,127,786,111,609,996,906,830,673,217,038,137,274,277,
656,412,510,344,039,334,290,177,614,942,966,213,892,410,427,408,062,025,575,
468,699,092,714,365,451,080,798,423,508,007,116,943,707,140,521,116,461,559,
491,755,737,478,602,639,250,184,240,455,420,431,415,270,779,406,172,226,599,
900,309,305,860,492,253,438,360,221,946,912,342,005,867,677,850,272,480,890,
100,561,627,451,847,575,378,458,905,503,673,988,224,784,773,721,991,282,049,
833,205,156,622,799,268,140,609,391,260,216,802,669,223,914,503,167,220,837,
658,579,197,307,373,701,583,344,978,436,600,477,984,392,087,499,481,659,116,
318,266,151,753,196,066,594,322,074,516,612,126,079,288,190,170,164,113,858,
052,665,155,014,385,774,090,035,805,100,490,388,893,175,737,447,669,538,781,
228,308,727,554,141,682,447,992,619,857,701,278,613,442,219,300,565,326,256,
315,938,313,023,886,522,222,845,206,890,695,136,242,575,462,689,959,330,947,
045,143,693,399,730,744,569,292,775,605,593,561,849,240,783,690,060,563,538,
081,021,287,926,717,714,414,385,975,494,997,609,693,549,504,107,544,759,345,
438,634,976,510,907,963,408,566,272,166,609,966,412,353,380,071,337,463,892,
678,092,922,404,172,014,505,533,675,878,057,817,385,642,835,768,079,541,035,
059,887,769,825,057,041,544,477,578,863,113,719,505,989,017,451,822,911,636,
945,226,481,779,688,161,117,405,713,992,282,401,845,430,767,196,444,748,286,
838,087,968,823,685,368,871,129,045,080,490,296,381,924,134,511,605,096,602,
462,355,073,848,199,809,993,769,111,564,385,816,825,861,535,715,933,010,226,
678,100,756,079,548,415,467,563,880,924,843,142,153,505,231,446,401,153,943,
948,008,127,362,095,609,628,579,726,927,478,033,538,884,547,757,461,667,417,
463,218,956,951,680,236,827,795,677,992,906,877,124,040,801,102,099,358,663,
666,383,858,104,997,258,182,027,835,127,017,954,527,664,659,543,680,596,883,
461,622,916,889,610,164,095,841,433,443,491,220,570,136,676,144,128,658,953,
377,236,781,345,802,388,424,670,603,169,700,194,349,880,875,763,494,229,708,
654,686,946,631,264,311,249,832,358,847,859,661,807,586,303,101,806,947,821,
758,396,820,001,535,830,843,386,533,438,290,463,183,101,234,647,504,572,930,
630,680,980,917,160,382,132,685,378,232,146,073,232,821,897,752,311,977,678,
805,691,198,729,476,073,931,641,500,491,342,599,068,884,998,171,456,462,434,
739,809,945,316,430,113,514,434,161,945,553,444,432,617,503,954,143,240,606,
161,675,220,084,496,758,448,734,186,835,823,579,853,799,860,903,829,801,341,
129,833,892,345,171,098,077,722,906,998,593,484,192,561,836,908,514,705,896,
568,600,801,317,786,788,882,166,839,829,925,432,637,325,909,015,485,945,405,
887,596,704,068,836,993,750,221,072,296,624,823,259,697,276,981,391,362,864,
281,831,473,594,057,776,975,753,965,851,164,120,939,727,833,873,726,046,545,
333,647,740,761,339,863,993,724,024,251,020,241,148,705,701,258,223,796,521,
347,309,920,520,676,326,116,063,397,854,313,605,369,214,996,512,212,148,159,
730,799,055,958,744,801,991,259,904,446,935,497,840,698,870,617,042,399,473,
798,415,977,571,781,310,148,214,445,666,006,976,014,479,082,456,321,160,317,
679,971,581,735,897,119,128,947,382,935,027,347,040,971,490,636,972,930,783,
327,524,095,009,006,437,968,398,854,960,739,819,197,585,419,905,723,311,379,
262,331,308,985,880,484,003,138,213,840,118,439,799,561,983,320,378,835,866,
524,518,921,726,172,380,606,584,195,616,363,046,147,648,324,965,540,252,513,
230,151,548,950,778,391,914,769,973,803,314,652,555,922,174,284,783,285,379,
611,079,682,075,179,190,565,024,900,115,109,138,497,862,836,217,284,889,286,
763,308,205,384,068,010,664,743,880,161,264,442,389,338,172,804,077,116,036,
379,830,745,901,786,330,321,369,126,432,471,354,016,985,606,041,683,003,860,
089,308,920,754,985,737,026,443,194,326,317,388,303,222,416,616,621,858,937,
498,060,310,617,443,313,730,219,457,501,910,258,218,480,402,198,255,380,989,
234,909,648,675,409,764,766,350,418,471,365,533,916,704,782,128,188,305,511,
184,343,164,694,086,316,519,177,540,789,435,957,828,009,097,058,532,906,381,
359,143,897,666,804,241,743,774,983,035,314,442,958,701,384,310,641,024,586,
701,801,836,539,210,813,718,828,138,838,873,060,502,916,452,503,948,480,291,
939,218,850,960,689,530,685,133,675,262,681,352,545,646,161,706,622,585,515,
252,842,175,253,736,602,853,642,448,388,001,687,128,392,083,080,138,248,537,
848,958,664,692,164,596,730,828,149,133,043,999,102,972,237,227,367,774,364,
253,063,936,996,494,713,581,116,510,309,599,301,041,859,438,908,621,109,960,
377,457,357,544,526,482,180,128,716,891,949,864,810,119,877,333,722,674,211,
764,942,250,255,337,121,770,007,112,711,298,967,190,584,507,855,643,479,226,
485,339,685,257,208,690,821,780,006,169,698,314,868,794,199,607,384,508,443,
710,738,993,784,474,147,847,216,349,571,665,552,150,625,559,859,164,848,666,
671,187,537,555,245,883,486,073,613,928,411,497,009,009,488,810,468,161,283,
828,106,474,272,709,387,916,661,000,636,034,249,608,205,291,886,822,967,269,
975,055,304,089,922,212,261,539,100,664,739,227,871,188,839,342,634,798,905,
225,601,651,204,115,165,968,924,862,124,097,999,782,315,358,049,935,137,931,
310,095,827,297,401,764,842,063,891,473,825,359,782,826,976,332,414,050,483,
145,200,165,772,879,365,981,224,269,334,555,729,767,278,331,229,159,994,672,
572,696,297,855,379,520,107,160,502,119,752,247,815,624,631,314,016,031,322,
854,815,854,052,322,606,244,793,520,062,737,226,743,963,388,458,175,346,463,
894,562,071,668,272,087,183,448,286,588,160,978,390,383,148,781,666,457,708,
949,111,411,109,243,019,304,936,557,252,430,136,204,165,276,304,433,304,806,
865,031,459,505,992,297,938,782,477,682,813,027,958,630,445,724,778,653,010,
466,730,012,940,442,084,193,201,557,897,781,054,819,275,764,742,207,921,447,
484,013,398,943,855,640,059,828,365,927,879,350,486,310,531,595,429,880,375,
106,428,450,065,332,284,926,116,775,544,958,402,454,522,890,796,989,993,958,
620,218,267,595,813,210,528,687,275,243,216,077,443,283,817,122,050,870,056,
804,901,177,424,732,093,762,986,086,225,194,664,549,364,111,166,205,278,084,
083,202,943,558,157,111,546,259,472,970,149,242,881,924,739,722,886,805,411,
096,739,366,345,968,109,921,964,034,547,204,953,831,789,508,723,865,823,135,
287,017,690,715,801,615,814,409,829,738,121,352,645,736,215,794,061,825,205,
336,424,628,848,575,787,617,835,448,227,485,506,527,375,092,689,346,487,885,
413,433,101,441,402,042,025,969,432,962,072,879,101,244,028,561,677,919,507,
555,574,707,343,789,570,563,212,913,794,684,222,426,167,882,059,189,121,681,
338,425,472,300,600,867,096,586,933,619,415,573,726,037,628,764,594,203,841,
062,893,085,619,307,406,278,575,245,181,277,190,150,179,562,620,626,702,568,
927,346,915,954,654,860,781,189,349,228,159,133,565,667,284,283,031,976,829,
254,020,442,823,098,025,973,683,204,605,914,305,544,905,839,839,519,947,907,
338,129,726,313,890,683,387,626,710,861,469,816,846,997,879,637,208,355,301,
886,386,981,718,227,575,924,951,156,146,348,062,276,574,522,886,076,715,773,
616,046,901,496,060,887,058,969,972,234,755,317,705,092,637,035,611,926,111,
536,450,346,315,903,202,685,368,754,654,213,072,896,188,066,596,370,187,564,
564,294,709,939,141,851,884,090,358,181,452,468,263,814,601,284,875,842,423,
295,694,682,049,410,764,686,487,827,026,950,773,367,040,641,981,570,856,033,
687,070,388,675,666,488,474,226,641,013,951,571,031,771,696,686,386,353,205,
013,906,145,224,347,860,155,248,301,191,315,007,696,850,574,129,010,608,416,
947,241,735,996,982,092,603,009,892,900,940,820,039,731,240,251,842,648,011,
304,070,288,228,999,129,180,469,561,558,978,616,001,072,161,007,503,750,208,
576,633,232,635,645,764,874,610,811,874,991,710,304,811,632,244,772,366,497,
635,093,816,319,975,574,067,819,989,338,938,137,334,667,579,371,393,026,996,
724,485,266,397,128,620,482,169,119,394,865,057,130,798,685,648,379,866,774,
041,330,481,078,620,072,765,708,551,603,024,180,138,517,693,981,265,044,356,
575,646,657,817,008,026,916,636,611,852,776,568,221,905,175,655,052,667,628,
962,171,743,611,262,721,687,238,232,922,637,641,646,933,315,495,502,050,276,
059,734,511,362,983,839,884,155,432,813,318,050,780,521,316,325,200,106,939,
492,158,695,943,882,463,482,023,908,730,058,656,006,068,793,339,020,375,802,
653,939,728,097,896,074,866,771,705,689,747,446,266,778,602,889,177,211,792,
849,488,293,396,587,815,098,628,512,315,881,521,175,985,193,238,910,837,061,
936,131,699,205,120,930,649,982,651,991,427,956,666,095,914,981,765,823,114,
139,031,790,689,968,337,797,435,163,751,157,876,912,920,573,317,338,578,142,
538,972,145,193,495,291,754,335,608,636,918,788,076,181,489,750,831,782,097,
426,496,572,866,383,889,039,650,314,733,742,899,113,268,689,111,269,648,514,
186,030,087,146,047,761,655,340,078,241,410,387,837,947,094,201,754,604,202,
918,480,778,369,323,814,305,832,560,182,843,611,405,318,385,805,348,576,997,
061,445,041,200,209,029,933,093,029,820,421,499,382,016,415,439,145,051,791,
740,029,882,886,927,625,806,271,093,533,835,796,970,562,126,052,576,614,262,
340,889,742,167,754,853,418,873,065,134,123,394,784,097,176,671,564,808,653,
275,786,227,518,217,716,734,750,715,487,202,136,214,159,842,359,247,166,248,
418,714,430,214,008,455,039,960,890,127,063,486,949,388,649,525,034,231,150,
457,757,210,135,791,625,535,825,861,258,029,185,985,755,752,538,161,738,626,
206,017,991,774,041,899,215,097,817,759,494,818,267,540,887,421,295,846,475,
143,477,095,139,686,037,179,373,755,160,595,391,575,973,140,070,518,129,303,
319,565,692,028,536,382,759,595,888,556,306,367,218,832,736,511,600,553,634,
980,726,207,236,682,161,468,777,002,461,128,756,638,841,938,805,948,029,744,
439,265,522,267,601,454,488,114,967,609,028,019,032,055,406,415,595,120,250,
515,896,781,047,486,607,067,544,016,364,935,090,869,128,220,781,401,966,588,
806,152,981,966,324,287,317,600,844,314,924,562,389,331,424,677,507,529,542,
811,349,117,295,633,395,589,353,324,605,071,137,287,437,296,246,907,626,919,
177,262,912,808,228,517,028,737,096,686,898,516,668,909,487,374,680,615,505,
677,101,718,886,202,675,387,485,694,364,374,492,633,475,536,566,859,829,713,
986,896,124,843,393,731,437,235,912,822,250,080,126,726,009,336,928,635,952,
121,554,647,138,034,289,261,397,706,245,574,905,168,300,666,059,365,854,627,
908,090,961,777,921,663,305,712,235,891,160,263,202,690,072,459,891,173,082,
720,805,703,946,813,098,487,442,382,466,098,217,132,404,161,465,952,457,628,
565,966,956,323,734,411,566,283,990,869,801,321,740,382,108,053,500,437,430,
379,426,447,773,576,405,647,776,757,397,433,558,416,136,055,346,092,648,020,
433,615,982,746,994,985,244,173,759,831,564,494,431,018,789,336,741,332,412,
128,484,302,942,525,178,510,541,134,313,091,701,705,958,682,659,712,802,945,
988,486,525,360,517,561,883,583,402,031,611,105,423,577,584,823,839,218,062,
776,036,173,305,712,322,663,419,822,296,929,938,581,304,507,345,781,051,718,
877,688,134,859,640,139,479,554,692,347,297,252,716,181,078,771,415,945,040,
967,100,488,111,502,343,825,638,479,522,276,469,871,063,640,140,461,805,607,
760,152,271,929,544,576,747,277,885,621,114,142,167,563,309,919,991,850,030,
704,026,744,431,174,884,224,233,871,694,094,734,766,972,625,816,050,044,875,
552,211,684,646,375,812,116,373,142,335,277,498,316,160,302,708,807,079,965,
838,523,333,006,922,567,611,399,375,761,840,086,367,044,225,726,851,533,377,
388,862,090,164,994,650,085,382,899,662,797,816,292,477,939,896,726,576,223,
680,649,473,700,227,006,805,628,475,622,660,323,282,713,482,228,284,542,746,
030,999,298,605,793,833,401,230,497,811,156,651,927,121,133,792,345,279,673,
604,878,090,312,378,776,061,949,648,703,564,673,277,557,474,973,157,719,108,
909,884,283,451,518,861,866,978,509,034,955,210,709,790,970,459,545,592,494,
225,214,416,999,150,145,798,114,522,271,076,125,730,520,787,355,277,075,419,
497,875,045,209,484,216,905,126,062,332,118,481,402,785,933,166,337,229,489,
706,547,648,533,981,160,347,143,622,416,077,835,225,016,129,418,804,168,115,
425,198,259,999,357,149,558,534,822,758,952,410,285,642,897,216,208,296,112,
583,522,976,542,148,621,516,682,627,735,613,613,981,134,238,471,530,716,214,
359,264,804,505,268,780,113,398,325,927,200,006,860,268,054,894,681,219,933,
412,807,534,891,175,291,051,699,185,067,491,905,064,032,566,512,710,409,752,
728,773,455,530,210,195,957,048,069,307,034,711,420,460,756,535,704,700,901,
615,697,409,095,245,081,629,409,084,958,502,782,217,124,356,791,140,814,758,
845,080,832,902,156,160,220,242,608,081,231,958,463,506,291,139,546,786,027,
279,730,906,955,729,864,447,812,457,630,673,685,209,058,214,050,585,052,546,
577,870,253,740,305,452,798,768,613,078,617,676,384,589,469,771,659,414,602,
636,548,656,883,670,374,578,041,899,497,189,552,071,141,736,383,511,532,028,
787,352,501,666,895,043,785,780,704,965,839,992,701,699,105,048,261,640,370,
108,995,306,394,860,263,691,557,092,886,495,339,407,214,624,085,774,895,773,
559,331,380,159,256,605,195,840,117,126,463,211,408,502,612,727,172,334,112,
637,812,001,022,704,406,743,183,166,315,088,951,232,340,326,181,823,119,262,
561,907,359,707,786,604,994,614,561,203,882,411,401,253,967,148,997,503,008,
169,801,963,584,564,207,247,890,731,912,571,855,379,642,981,186,704,376,894,
593,710,583,668,480,963,470,382,250,594,884,706,419,686,005,307,488,864,444,
116,303,615,852,821,016,616,307,824,807,797,117,018,360,348,096,976,947,092,
304,806,008,276,568,409,236,523,865,913,319,058,952,982,322,035,299,755,458,
276,224,078,095,498,547,665,391,273,975,725,319,667,152,799,026,365,207,111,
325,173,401,162,892,118,552,675,251,814,538,747,638,926,142,678,374,674,731,
161,377,968,903,872,457,605,684,771,406,728,080,859,459,898,070,407,160,932,
632,108,845,543,702,661,882,127,463,113,554,810,299,233,285,207,063,980,428,
053,517,700,462,922,383,933,162,952,730,033,643,934,601,793,827,523,728,427,
075,113,979,156,772,802,407,403,994,800,389,539,984,849,364,743,131,015,923,
018,974,720,373,630,960,540,315,507,920,480,200,974,636,276,163,775,003,267,
606,687,216,439,118,370,467,831,788,791,376,743,375,183,262,529,672,244,134,
099,611,623,005,501,112,402,324,518,359,531,283,727,973,889,242,848,189,306,
385,125,768,207,206,553,395,769,999,950,794,035,012,049,098,273,271,498,000,
707,535,515,361,085,359,940,379,779,724,775,576,813,530,211,790,105,758,709,
862,550,000,541,636,511,757,250,875,224,518,011,033,322,774,509,252,039,090,
244,757,440,542,673,599,915,593,570,505,365,139,467,256,798,905,578,838,859,
713,429,113,894,649,764,271,329,365,872,889,430,072,683,513,930,079,806,136,
111,292,210,900,954,471,969,470,457,899,198,316,107,650,291,842,995,222,924,
011,891,571,007,099,680,978,948,433,534,811,149,715,866,264,194,175,955,065,
367,535,194,931,081,328,912,002,264,369,495,024,962,422,761,290,108,536,225,
049,187,527,203,800,441,407,505,056,721,429,829,356,042,208,395,885,406,130,
630,633,847,474,573,747,792,724,533,106,831,442,125,641,410,421,117,951,138,
731,590,208,167,717,307,968,964,940,530,282,723,741,768,195,372,747,375,313,
925,235,984,549,450,693,510,636,056,338,241,654,968,599,847,331,505,800,943,
494,643,496,211,751,591,609,763,567,462,729,079,264,655,446,118,748,629,512,
622,771,248,693,338,910,075,308,623,742,208,550,278,998,185,864,649,088,056,
458,846,428,960,712,279,430,257,555,857,722,657,871,727,314,923,711,763,489,
767,431,839,039,906,325,332,544,031,497,131,543,940,588,731,701,122,003,124,
747,421,652,319,684,224,038,154,881,838,684,688,220,494,285,026,386,095,368,
555,404,005,988,137,483,116,181,372,545,053,028,497,916,864,799,975,552,264,
616,481,171,757,733,260,627,285,241,684,073,974,995,398,801,583,273,950,179,
434,317,057,389,343,355,766,735,441,785,996,030,074,400,030,921,756,703,821,
983,102,165,168,322,095,332,476,256,611,296,740,841,448,083,703,572,090,264,
236,580,558,480,005,429,631,600,975,643,686,011,402,450,963,614,128,974,949,
630,093,261,414,418,167,759,596,628,656,087,770,940,539,458,964,523,609,158,
374,664,938,415,142,450,307,941,887,033,527,283,586,074,192,560,038,010,743,
858,101,405,281,007,674,310,551,621,695,950,389,236,548,754,622,594,629,905,
577,975,243,117,246,639,033,964,698,869,181,237,958,115,645,798,544,058,914,
296,150,001,166,870,455,156,940,594,195,328,289,912,053,161,541,812,112,291,
881,667,610,738,482,866,627,247,624,153,019,364,226,356,239,324,452,817,233,
739,983,010,445,253,054,127,513,731,996,464,036,258,585,383,714,384,250,332,
011,544,421,123,377,956,189,024,630,685,419,344,272,198,412,118,178,377,008,
724,948,520,117,232,380,534,397,204,550,291,665,330,978,937,697,040,326,609,
422,425,987,708,927,487,986,280,819,403,214,687,084,074,499,482,086,348,881,
655,053,285,226,103,164,350,699,693,759,088,271,787,543,777,033,234,469,571,
032,338,391,529,326,265,195,249,715,143,206,610,192,208,493,955,981,795,958,
590,057,812,103,138,597,062,087,620,200,010,767,413,164,451,538,451,008,122,
498,741,203,088,036,885,832,037,516,895,913,882,442,148,041,199,489,431,621,
288,116,046,864,064,665,633,029,024,506,199,271,612,480,981,195,800,457,688,
755,943,947,426,359,888,167,003,377,658,634,539,260,589,614,817,491,573,465,
217,621,950,893,824,767,916,984,447,271,048,945,061,393,455,484,904,423,146,
164,962,663,052,858,073,106,521,291,022,427,205,773,052,091,817,627,242,024,
103,862,149,677,486,740,403,313,443,620,847,589,323,749,069,080,575,006,243,
506,845,507,577,654,786,929,064,062,224,681,635,202,033,315,220,152,229,454,
634,435,803,883,838,773,163,065,346,449,908,808,753,367,526,477,435,979,562,
019,150,644,195,206,900,316,985,567,182,282,844,092,166,153,349,330,351,677,
142,827,008,765,277,667,333,745,555,053,874,752,142,217,711,841,021,126,217,
911,207,435,797,567,855,667,770,784,856,355,180,652,202,419,360,764,267,747,
868,897,437,714,663,711,991,136,346,142,167,953,995,704,716,927,755,764,378,
919,229,580,325,877,481,628,599,346,539,303,281,641,703,428,382,203,546,766,
662,064,478,517,489,007,103,739,591,101,613,063,332,615,037,131,795,140,288,
007,450,609,849,877,584,923,541,304,360,236,523,824,033,173,212,419,146,453,
895,167,854,303,142,279,982,614,677,590,993,434,240,155,864,326,366,007,493,
328,438,689,738,439,478,159,852,178,880,377,266,845,718,331,763,506,361,280,
964,240,360,371,912,340,991,274,679,375,459,099,897,064,576,213,993,728,324,
178,818,189,270,702,792,054,996,058,788,376,125,396,506,829,209,634,745,281,
779,097,033,820,195,683,546,366,176,137,775,339,928,105,879,800,769,205,494,
294,235,898,140,028,998,178,535,034,184,478,837,615,093,896,313,916,380,601,
229,387,765,015,561,999,897,973,269,821,178,029,961,693,073,416,215,730,413,
535,011,230,170,924,767,681,799,856,031,798,412,347,618,813,932,850,512,693,
825,955,143,835,532,992,025,814,816,651,391,716,875,767,728,291,517,927,639,
492,550,815,339,534,040,485,841,564,330,464,084,108,910,096,346,426,264,129,
040,450,286,824,636,871,095,321,710,041,982,563,929,445,323,738,369,145,181,
368,392,383,332,118,202,318,856,630,254,440,369,360,555,444,517,725,621,967,
439,092,909,647,178,168,604,815,744,460,765,174,594,030,613,474,177,915,619,
154,186,799,060,864,079,004,680,208,687,072,577,243,084,768,394,948,582,091,
260,608,727,691,622,376,559,720,856,658,519,654,857,163,712,596,507,355,194,
132,226,395,353,575,089,953,247,751,738,316,880,992,005,771,637,230,367,170,
957,597,423,689,241,481,590,012,676,286,326,341,529,016,988,332,946,534,581,
058,198,017,040,737,621,450,683,737,669,067,705,493,028,944,689,488,292,773,
505,718,861,523,882,482,848,773,699,662,852,343,544,946,578,249,630,133,034,
888,944,323,241,875,729,690,804,468,420,068,749,634,324,966,443,454,262,818,
398,146,030,063,459,410,797,532,072,678,380,150,146,070,514,020,024,046,532,
468,035,716,328,297,133,407,396,273,087,460,494,885,802,190,671,608,637,308,
811,858,959,027,813,795,185,813,180,885,700,910,744,049,108,456,460,357,714,
570,458,181,077,077,725,994,182,960,295,460,999,743,348,195,097,944,258,240,
715,545,775,582,350,424,203,067,853,168,798,065,779,739,541,108,379,410,497,
011,090,984,870,588,803,623,467,015,246,758,391,218,373,468,174,516,772,041,
480,172,372,601,481,806,240,618,015,792,260,829,820,294,377,609,966,119,178,
579,845,020,616,539,941,706,271,486,813,299,986,288,396,847,061,068,705,301,
595,697,916,513,495,514,168,240,112,616,417,487,490,045,429,631,233,356,809,
375,196,586,856,279,954,183,164,490,997,071,047,065,349,667,746,838,379,864,
033,717,702,255,986,748,895,509,345,568,433,037,101,565,624,823,966,846,993,
273,898,291,403,802,124,147,436,400,246,922,226,847,622,012,911,493,374,410,
058,843,827,187,053,554,505,805,277,496,139,168,091,762,300,048,716,601,166,
904,144,068,039,065,994,569,761,880,319,664,822,352,854,680,930,071,302,483,
408,958,102,578,872,358,094,310,973,769,082,322,992,103,161,324,621,095,561,
963,219,681,038,435,557,501,525,459,972,238,270,680,930,612,050,840,993,695,
950,446,114,940,546,322,804,061,249,271,398,810,529,109,117,506,555,142,218,
249,592,627,712,543,026,513,961,940,654,310,989,176,470,704,961,201,939,312,
473,454,291,201,983,928,553,316,081,302,575,795,567,936,613,740,447,318,490,
812,663,684,430,644,277,726,964,007,414,659,326,015,108,773,345,472,316,511,
910,800,740,185,498,616,714,487,606,077,539,116,962,889,328,925,519,109,162,
001,387,086,225,525,056,620,924,058,415,498,253,869,631,697,621,914,376,160,
745,873,206,493,697,223,504,439,071,411,953,053,165,580,868,126,077,597,138,
738,606,498,953,017,616,873,100,778,493,756,121,952,000,376,778,758,542,449,
184,039,364,030,955,073,585,898,480,725,798,872,206,753,625,592,857,447,455,
799,579,327,221,522,737,994,105,304,857,736,813,036,946,567,508,319,960,512,
860,056,955,911,391,264,196,995,217,138,992,802,397,717,422,084,813,832,706,
245,616,192,999,428,706,208,489,958,557,215,503,549,157,267,277,211,850,380,
111,155,824,154,773,510,027,370,314,130,782,045,260,955,712,331,581,847,109,
186,988,928,512,875,000,720,058,251,053,637,221,270,420,044,584,185,815,849,
501,902,968,580,043,140,560,444,526,288,047,620,398,552,673,829,158,630,272,
725,649,682,511,027,414,640,548,206,828,559,054,989,580,217,388,463,777,086,
737,375,954,522,024,964,224,440,687,993,312,984,641,870,161,296,452,164,639,
857,197,344,113,406,535,717,252,645,265,646,854,951,766,850,548,929,115,480,
555,737,730,028,291,474,698,826,168,304,042,904,505,984,044,149,819,257,567,
186,192,467,803,363,557,216,968,839,051,601,582,900,390,592,436,393,742,147,
315,336,913,172,105,035,936,009,254,981,566,941,403,834,972,716,682,154,732,
741,392,024,759,012,980,985,616,728,048,868,175,995,168,883,237,732,088,826,
186,329,286,900,664,614,558,371,175,802,507,604,496,629,905,300,586,796,154,
700,329,916,557,358,050,122,172,080,915,632,390,966,966,473,248,329,594,865,
160,524,223,275,092,360,557,514,850,889,721,260,147,540,228,639,152,166,264,
623,280,650,399,454,962,618,843,080,084,494,269,213,696,407,659,821,842,205,
193,998,082,932,416,413,043,678,902,909,076,459,223,864,715,797,609,214,229,
344,691,186,265,203,217,366,391,345,107,490,639,748,043,442,657,297,709,182,
782,241,652,249,781,975,279,935,753,643,817,797,685,187,319,869,126,285,706,
747,341,044,639,567,334,557,413,137,692,059,887,620,995,687,542,218,897,070,
708,440,442,343,148,035,711,786,867,636,932,186,093,821,216,899,357,424,565,
389,755,815,211,986,474,704,614,605,130,511,545,034,224,589,511,964,335,454,
672,805,581,656,171,909,085,513,444,370,900,991,707,566,063,953,622,229,035,
672,587,042,780,146,633,266,880,691,117,982,264,983,412,336,401,011,107,850,
819,358,861,670,748,811,986,269,290,758,636,469,420,673,888,869,601,224,748,
849,374,671,963,216,725,868,431,664,722,893,675,448,378,105,958,125,239,860,
276,324,042,324,439,134,974,353,438,948,607,511,667,009,067,262,099,775,592,
438,117,076,246,345,562,988,670,103,605,166,008,769,171,049,340,418,221,566,
618,889,731,694,734,081,949,458,171,481,575,561,270,556,952,105,854,897,521,
858,874,715,315,697,139,795,007,804,142,053,412,709,734,270,839,380,348,736,
270,407,219,395,773,160,380,276,218,681,184,076,764,614,746,191,176,282,810,
377,078,445,608,736,349,933,140,181,084,409,088,788,004,182,627,687,987,606,
882,576,830,258,687,064,774,430,030,615,233,461,125,387,516,112,619,800,478,
042,366,085,794,171,414,061,024,169,183,893,566,504,057,393,538,131,360,001,
381,583,590,644,471,479,850,521,705,845,924,113,614,247,757,471,283,727,290,
746,983,130,404,346,216,738,637,613,179,248,864,429,499,903,717,374,986,027,
950,051,163,700,615,488,896,829,018,533,638,910,187,477,897,148,181,869,012,
618,887,752,555,519,957,541,671,180,261,567,759,513,727,818,880,422,038,495,
828,321,625,807,428,656,019,868,018,229,274,135,937,871,140,571,815,508,275,
215,474,631,758,337,994,699,272,304,444,112,598,336,480,982,771,391,320,483,
393,189,208,984,148,196,956,149,519,748,084,400,011,400,899,428,970,602,880,
171,818,517,612,842,862,676,525,877,725,812,591,275,967,156,003,576,682,510,
924,445,609,365,660,518,916,805,889,036,422,078,594,365,397,629,578,605,346,
379,148,600,044,370,002,715,544,915,979,698,983,251,558,359,523,750,695,252,
297,126,719,681,603,958,079,291,634,055,834,159,981,789,829,486,384,839,643,
669,297,515,993,101,850,131,379,139,362,302,393,871,072,592,537,645,234,594,
520,529,546,830,881,883,536,760,522,984,809,129,335,134,192,759,883,263,202,
084,131,043,568,062,555,246,531,366,617,112,871,914,992,787,032,757,476,478,
265,677,380,661,078,165,848,922,390,064,673,626,764,309,458,291,933,069,928,
861,311,644,374,269,345,340,624,199,854,477,056,519,357,336,038,219,827,496,
678,792,239,728,842,567,747,758,288,999,483,208,897,994,358,012,474,511,793,
800,529,380,694,755,018,756,405,482,908,680,431,575,545,968,646,612,300,972,
531,560,187,626,180,748,467,264,676,109,769,933,994,294,130,157,029,744,961,
488,157,599,550,673,848,625,331,423,781,765,646,792,974,853,986,504,515,621,
254,002,858,747,006,415,144,706,018,289,686,950,578,447,628,923,683,414,921,
369,988,783,021,341,017,494,679,872,941,377,937,055,360,176,952,995,051,382,
524,104,404,698,874,041,047,418,834,902,645,411,688,330,761,944,453,472,419,
414,762,917,108,517,977,484,533,474,700,625,393,405,814,682,957,563,770,441,
596,157,491,717,521,040,611,788,284,223,928,709,152,490,574,217,434,602,124,
063,969,963,750,095,176,623,235,637,966,099,762,890,109,610,230,812,195,447,
926,625,072,379,779,695,283,586,258,216,768,964,177,197,376,535,264,265,991,
281,299,272,777,888,606,666,092,480,329,314,844,321,639,880,600,507,627,007,
977,892,065,849,009,006,082,121,339,520,878,807,560,208,876,298,292,293,349,
164,279,363,154,736,651,074,654,162,131,885,978,136,521,916,829,975,465,122,
444,135,257,263,407,980,884,971,729,970,195,018,938,435,092,177,891,782,931,
664,558,752,582,124,290,445,153,884,724,183,654,389,359,368,924,761,618,131,
397,366,033,171,755,484,292,700,111,490,140,759,487,616,610,618,313,805,532,
508,492,952,182,059,824,513,145,211,473,516,246,613,511,877,292,959,419,209,
655,463,221,102,300,904,961,991,070,513,513,552,385,280,602,076,364,955,582,
127,481,461,723,716,859,839,670,852,470,556,459,075,615,993,125,328,624,056,
866,432,598,215,007,619,521,855,822,081,760,042,837,907,942,023,793,315,876,
026,518,372,227,775,131,625,378,609,408,656,608,245,527,106,195,032,198,507,
446,487,068,808,162,080,569,683,312,502,555,539,564,271,844,466,158,186,798,
230,466,245,266,697,567,642,777,663,552,428,966,052,337,925,960,385,238,606,
325,413,483,307,620,779,623,609,715,476,613,731,388,545,210,606,363,755,164,
176,877,209,209,897,906,488,527,840,944,453,693,129,816,524,639,947,701,906,
265,505,348,029,276,698,207,783,159,962,016,256,365,387,682,106,134,219,981,
254,641,319,072,567,085,412,383,289,101,279,379,178,837,693,206,641,554,774,
290,627,670,261,086,321,117,301,513,702,247,072,054,833,062,985,023,902,116,
731,498,016,103,129,438,453,903,520,300,596,014,968,490,730,867,370,327,646,
741,225,575,226,441,759,884,614,843,630,371,607,036,710,868,229,255,796,477,
228,418,602,558,709,318,913,455,670,192,556,319,560,812,416,004,866,134,926,
663,395,660,122,136,695,781,079,187,267,605,960,749,726,270,480,073,227,869,
325,766,436,770,482,268,463,988,335,419,850,467,203,220,622,769,904,531,008,
085,886,855,419,928,698,839,501,573,970,945,069,442,845,603,512,254,993,370,
763,866,042,927,565,946,362,887,608,655,958,043,407,804,016,083,384,580,330,
445,241,890,843,128,421,883,715,770,219,479,929,010,880,575,516,504,081,844,
601,176,731,607,220,652,177,299,495,632,687,911,229,624,368,895,424,029,077,
368,389,042,456,780,070,375,238,157,963,860,147,948,150,726,970,304,839,846,
609,789,451,432,227,349,635,067,697,247,279,967,793,860,700,347,913,076,907,
280,220,627,419,085,855,364,642,825,361,802,339,864,676,706,523,182,150,395,
079,701,659,418,810,394,257,126,554,002,406,628,082,580,636,117,003,727,121,
087,851,762,852,426,913,628,675,391,887,053,080,221,246,192,621,732,163,936,
330,420,162,648,658,002,542,980,875,179,200,813,295,146,030,893,677,240,250,
398,110,523,408,405,369,273,084,944,137,929,933,528,607,226,143,516,539,207,
343,031,474,484,665,981,992,566,453,617,048,614,062,368,044,304,514,986,034,
028,248,310,860,327,848,500,207,924,214,569,878,039,235,781,279,520,824,741,
764,106,093,649,003,005,566,116,610,607,553,773,497,502,062,702,694,554,147,
309,963,247,239,638,872,930,938,550,148,908,425,044,405,289,236,212,990,965,
180,077,267,108,159,276,431,889,537,789,314,727,492,320,375,834,212,893,094,
121,063,800,035,138,709,720,283,896,114,505,164,255,353,162,517,044,027,063,
244,985,429,824,321,995,140,262,936,185,127,700,844,209,681,544,653,101,119,
943,536,167,408,766,118,321,097,436,143,386,212,061,958,936,683,582,331,745,
972,952,720,898,865,175,833,266,613,572,828,092,914,301,462,938,007,186,101,
614,727,655,682,669,086,391,387,448,511,175,199,871,069,546,590,304,050,039,
998,674,900,343,333,981,128,641,191,336,145,212,101,061,080,943,342,697,737,
172,160,516,637,172,926,889,570,227,368,945,599,705,865,650,923,519,745,544,
412,210,056,744,982,935,239,828,305,706,125,141,077,750,326,903,848,645,033,
607,300,976,509,634,426,782,803,270,021,365,610,602,206,745,367,635,717,313,
348,326,068,796,763,834,070,762,087,501,363,814,975,174,817,826,705,808,015,
136,115,906,068,155,030,837,568,273,593,123,042,546,416,548,045,572,652,804,
749,263,922,962,282,499,361,111,047,514,251,622,802,271,118,844,939,577,804,
618,094,323,229,082,483,768,717,792,033,263,691,492,290,401,455,281,115,268,
843,297,964,080,730,279,418,894,130,826,201,995,466,204,488,564,440,140,821,
580,137,263,052,899,113,619,001,678,324,538,951,491,124,594,639,791,874,644,
383,009,530,184,500,114,546,652,135,946,165,715,663,115,695,545,638,481,146,
349,646,602,371,514,709,584,177,053,728,989,528,795,813,156,972,151,392,549,
268,163,523,313,397,140,976,483,705,821,952,968,281,484,941,252,125,135,195,
120,209,712,631,798,927,172,856,562,245,937,121,842,537,650,895,524,057,563,
048,683,433,866,872,637,244,708,954,064,222,213,603,758,781,550,932,658,702,
893,528,187,541,091,278,278,105,665,278,340,140,921,838,207,985,112,032,077,
898,001,363,710,137,798,177,295,253,284,960,840,549,845,584,181,386,198,592,
162,445,329,379,695,142,453,153,290,864,759,623,541,462,151,435,671,819,194,
594,876,807,342,098,948,805,457,842,807,496,500,350,867,733,480,115,677,493,
252,700,637,126,699,785,526,253,235,753,614,837,688,930,774,863,569,343,758,
949,407,688,709,932,207,014,564,171,921,965,612,213,327,081,933,086,791,357,
800,312,225,882,592,712,664,261,333,101,507,158,926,867,406,872,633,590,431,
621,718,693,659,374,492,786,212,381,212,549,983,425,308,841,311,383,243,885,
435,620,634,580,709,605,359,776,873,079,189,800,307,350,026,297,909,613,578,
301,515,825,560,339,148,332,296,455,919,559,296,411,451,784,298,769,496,106,
536,322,076,554,877,862,182,618,755,212,683,410,437,047,473,541,844,338,293,
487,495,885,671,990,186,118,709,673,631,548,361,007,912,140,229,410,219,470,
431,821,638,589,663,808,983,669,753,799,465,772,913,552,129,498,494,290,608,
970,545,346,069,565,196,433,445,907,304,191,029,690,755,189,227,288,511,841,
719,272,268,954,666,146,848,503,692,074,701,098,360,790,154,896,020,592,923,
272,116,339,154,496,538,148,472,014,160,699,805,567,353,543,063,752,782,745,
590,370,374,843,121,465,123,709,991,315,739,671,381,462,013,711,697,052,854,
808,191,634,020,082,152,116,476,015,374,687,562,341,048,625,996,919,639,002,
048,230,687,343,210,404,075,740,750,536,005,290,169,027,400,343,203,305,762,
377,069,053,058,371,089,060,935,366,678,245,722,625,692,735,042,100,266,431,
072,185,427,231,964,472,028,210,214,632,921,923,290,017,391,506,084,342,131,
249,850,342,644,911,323,437,060,938,441,879,204,033,669,145,722,419,241,449,
926,854,045,017,217,604,565,461,153,300,015,754,777,370,777,626,859,391,850,
799,288,624,814,209,597,059,571,413,941,591,976,805,968,512,616,564,911,664,
652,455,680,425,384,800,091,121,878,915,518,013,625,213,594,844,926,590,734,
717,797,667,917,181,112,270,229,301,986,873,843,110,215,698,733,683,317,989,
092,769,550,432,846,032,019,353,989,654,856,688,618,723,224,682,503,556,792,
444,389,390,674,235,857,092,400,760,782,016,255,001,960,583,230,721,412,541,
921,799,892,662,342,595,298,631,815,760,209,125,927,818,330,621,145,405,027,
756,978,078,992,996,742,525,544,741,505,079,711,617,359,490,012,971,139,125,
529,926,898,000,147,069,035,584,184,332,873,847,091,031,087,981,858,407,369,
060,970,356,310,399,643,982,369,965,137,615,505,180,261,159,682,495,227,791,
188,512,195,186,703,611,281,074,824,156,181,177,446,590,231,000,186,629,067,
468,920,216,165,682,821,185,033,399,121,863,053,554,149,746,234,303,582,512,
214,730,829,135,136,835,916,072,131,503,376,719,058,163,007,266,477,869,944,
491,751,112,682,247,152,559,905,653,065,179,506,879,998,466,354,080,247,581,
988,945,676,898,327,383,019,027,458,486,567,693,562,395,461,218,195,070,095,
069,558,811,258,590,505,288,792,337,715,593,541,220,129,314,743,027,058,794,
424,449,611,710,213,006,852,647,377,604,005,006,223,943,006,658,688,531,174,
131,413,622,280,833,900,787,183,658,683,108,971,560,563,407,566,583,740,477,
761,263,814,999,355,678,118,856,389,125,205,881,349,110,892,728,896,952,357,
020,931,656,004,506,748,355,255,004,285,378,213,324,955,951,354,094,083,598,
562,958,339,312,473,664,862,368,189,486,293,123,953,023,882,031,552,114,374,
018,490,434,055,034,922,140,408,708,898,206,809,194,400,298,679,548,632,234,
798,512,573,081,416,420,698,850,292,427,189,119,272,455,269,077,889,932,004,
345,453,988,175,638,484,432,849,820,923,455,949,499,364,560,688,946,440,522,
256,965,448,016,386,481,384,779,584,626,755,928,360,168,528,943,053,665,006,
653,302,944,613,362,576,735,798,876,034,258,248,361,039,646,322,297,378,299,
624,625,587,064,389,444,906,251,498,093,993,356,330,737,010,981,429,587,598,
688,193,462,119,453,000,698,189,116,495,368,087,429,246,319,473,570,393,972,
282,595,068,460,983,149,037,722,249,842,478,720,214,448,207,691,343,053,462,
015,466,405,089,100,363,618,394,924,352,833,282,533,549,803,436,208,676,517,
029,829,304,342,426,997,713,900,507,149,839,833,520,847,347,213,961,704,102,
364,161,698,902,022,511,125,492,849,962,139,611,943,491,021,669,208,576,482,
259,752,803,597,859,249,386,988,281,947,371,463,652,829,780,701,728,209,720,
087,312,000,030,759,123,036,364,727,213,682,859,453,159,503,246,617,092,554,
316,138,952,731,090,141,899,598,251,449,794,669,872,228,759,231,576,946,397,
460,420,628,508,081,289,811,690,025,681,561,438,470,720,332,544,785,871,875,
692,361,715,628,006,762,796,074,353,895,486,347,339,873,531,151,414,867,033,
244,742,304,801,774,520,789,595,643,589,153,835,260,057,517,874,517,288,641,
947,509,909,577,907,997,853,809,215,739,597,400,343,494,886,035,825,165,221,
605,685,644,500,628,118,901,086,384,007,442,140,011,093,565,956,484,824,720,
729,020,289,268,094,846,101,993,791,396,669,003,077,249,920,799,295,141,108,
327,914,451,211,968,859,767,766,666,550,335,470,921,939,550,502,886,727,237,
009,751,426,087,460,247,641,931,162,963,293,697,450,720,466,426,095,043,479,
148,955,047,603,606,056,545,069,505,673,941,738,992,777,480,324,759,722,849,
325,449,191,653,985,678,810,538,629,454,877,375,680,884,842,689,059,318,106,
844,200,120,513,592,874,848,128,378,618,513,068,612,874,100,983,793,549,704,
298,835,236,218,311,381,732,777,173,660,113,516,159,958,305,012,712,047,992,
160,832,159,034,687,173,934,543,446,020,785,960,787,863,210,984,132,693,963,
419,114,791,527,933,401,768,567,209,166,613,825,090,357,204,468,871,648,010,
641,755,674,127,190,725,942,746,880,679,141,257,885,494,632,396,521,284,669,
994,914,420,192,792,237,018,070,044,380,184,598,000,503,247,130,810,094,633,
978,094,791,386,889,361,598,536,191,829,184,861,859,250,002,427,234,918,839,
137,763,686,146,312,817,873,564,442,550,210,702,976,789,166,791,757,409,279,
661,695,642,931,070,125,496,061,340,205,462,352,568,709,272,011,007,152,138,
636,123,962,741,565,937,025,601,293,356,400,876,579,535,843,087,708,800,329,
221,781,897,562,483,085,191,566,924,808,189,570,510,727,507,044,725,373,490,
162,139,393,474,126,639,785,855,606,666,329,418,924,965,620,959,881,064,957,
667,937,283,837,453,395,577,486,108,760,310,726,896,812,177,893,602,024,393,
314,695,691,511,894,774,480,544,450,354,321,865,659,270,812,523,386,504,695,
517,777,519,380,593,535,758,105,598,790,594,053,175,866,870,178,376,683,600,
053,327,771,182,873,112,696,226,741,126,913,198,285,587,554,047,799,856,925,
558,270,595,675,131,988,114,003,206,129,158,566,139,378,192,251,361,797,880,
305,655,818,337,987,944,411,443,591,221,839,560,335,790,172,754,055,814,568,
650,326,638,624,981,160,589,287,878,391,964,180,711,094,526,870,759,348,131,
517,236,653,751,301,740,424,393,041,719,394,481,580,145,955,032,150,316,501,
422,447,496,082,620,177,356,344,092,148,757,593,756,599,516,821,384,013,868,
833,180,873,612,430,943,158,155,436,616,816,448,529,108,038,578,959,658,251,
508,277,757,994,635,372,749,979,050,035,839,657,713,483,114,923,725,099,616,
248,954,638,020,408,591,358,903,633,008,280,100,799,504,783,100,821,801,616,
912,088,265,158,134,899,168,113,857,289,482,045,427,715,485,971,265,169,216,
921,257,320,112,134,302,159,251,478,781,130,379,757,522,146,481,758,868,003,
364,409,049,618,584,720,975,051,867,254,650,346,463,657,001,578,318,593,511,
551,196,232,315,045,041,234,060,154,732,442,762,146,672,413,922,650,658,826,
680,405,495,377,425,182,623,285,881,265,243,228,138,056,585,712,463,924,354,
763,352,619,822,730,270,027,319,449,715,106,328,685,826,445,416,882,624,752,
792,050,913,744,076,892,255,868,568,120,797,239,709,676,337,236,586,570,113,
839,070,583,456,184,992,546,047,949,802,671,567,256,007,810,793,924,846,061,
177,165,653,434,977,007,786,572,199,129,029,511,601,282,553,778,915,928,819,
171,756,194,881,204,257,584,499,812,348,258,668,320,956,458,627,744,986,382,
258,471,606,748,252,906,049,529,809,479,042,412,460,574,562,969,176,119,414,
184,564,395,521,698,921,102,625,195,230,472,299,305,934,255,937,470,713,996,
582,590,199,006,037,845,248,092,669,451,941,432,548,867,227,218,487,581,612,
916,510,330,115,442,906,721,825,251,019,074,963,341,826,047,039,760,349,169,
663,145,504,636,268,164,496,948,047,204,142,908,344,457,569,875,126,783,995,
482,241,460,256,705,119,469,108,899,364,600,807,591,555,448,932,434,851,729,
517,941,709,558,007,445,156,673,024,788,096,864,103,953,717,623,871,607,807,
974,286,635,072,167,437,797,076,387,259,709,761,346,240,087,877,369,118,495,
616,378,929,995,071,124,724,865,360,539,961,206,265,524,255,351,688,507,631,
840,501,115,418,262,014,527,001,144,116,232,489,487,979,581,583,561,003,790,
715,926,532,941,066,203,775,462,839,760,799,512,823,067,512,849,928,766,024,
395,605,106,818,142,251,606,631,063,142,935,457,725,906,598,451,445,429,559,
663,659,778,229,245,393,739,046,958,507,777,120,282,185,218,054,702,414,177,
505,216,107,726,199,326,555,644,407,388,975,996,083,312,819,844,224,335,052,
463,553,337,798,824,639,484,096,513,231,436,386,752,034,104,336,624,026,763,
062,917,501,547,811,821,895,211,292,489,831,124,262,856,151,145,620,637,238,
654,964,974,184,907,695,729,339,002,661,446,673,817,675,917,142,453,335,243,
355,783,040,987,137,187,447,127,819,511,614,828,786,344,689,700,855,172,274,
819,042,107,769,233,298,037,188,946,925,384,475,220,010,747,504,045,721,000,
139,686,786,634,179,821,144,178,398,290,023,358,677,850,939,159,753,884,834,
301,457,380,452,925,414,305,835,875,717,819,860,639,711,883,821,880,634,011,
838,397,880,308,728,544,742,097,487,717,219,830,825,271,717,055,692,304,523,
181,427,171,677,760,963,056,070,558,745,948,647,522,219,927,546,530,255,510,
473,082,256,238,288,297,119,790,512,320,136,675,662,959,815,474,032,972,133,
316,076,954,004,121,736,342,695,351,200,337,135,401,589,739,575,671,577,508,
260,208,078,912,440,253,061,108,172,895,395,004,543,141,849,048,709,007,035,
263,236,573,544,399,536,116,404,605,495,345,944,382,941,958,212,541,825,241,
588,546,147,371,779,050,543,087,158,095,433,146,951,351,703,605,068,463,518,
167,628,669,697,039,382,803,152,598,105,831,584,900,428,817,328,859,815,905,
359,932,462,880,802,963,594,542,975,670,784,643,214,849,561,888,100,364,833,
617,992,570,615,915,303,862,527,905,533,196,459,145,298,417,186,842,114,423,
011,862,314,800,946,579,472,814,750,608,308,279,295,056,081,799,047,989,881,
360,961,880,932,366,331,081,104,026,819,254,173,786,762,670,464,078,109,102,
727,521,011,256,442,386,018,868,497,178,872,878,544,853,470,873,418,780,062,
015,980,456,926,081,283,840,570,956,586,039,627,545,478,255,029,368,785,336,
780,024,750,609,888,423,167,718,512,166,640,253,376,256,659,390,615,485,367,
370,001,949,909,469,069,386,594,162,397,841,543,058,959,195,699,154,026,883,
606,082,198,834,447,324,224,710,052,569,902,296,650,553,939,479,141,372,174,
286,054,830,704,583,480,622,599,109,493,653,637,364,893,717,959,677,995,018,
534,991,480,533,468,880,383,137,630,681,142,192,002,547,852,082,985,372,272,
464,867,125,475,397,327,426,887,744,701,433,861,712,709,626,283,197,476,796,
397,813,309,637,057,739,865,836,509,879,576,895,123,842,017,538,297,233,710,
752,409,829,209,958,377,086,641,613,787,238,461,522,019,908,953,038,414,219,
885,904,506,857,596,366,910,134,442,596,172,412,816,622,775,913,876,257,662,
936,444,947,415,298,603,225,446,509,760,689,401,869,915,028,403,162,460,202,
659,723,147,039,826,717,960,707,238,923,974,464,016,938,003,942,585,519,747,
278,138,651,052,006,039,895,990,939,722,853,840,721,095,540,374,100,733,024,
778,329,408,149,096,854,222,718,549,100,035,353,138,533,059,955,429,101,950,
704,186,009,364,251,884,708,072,110,287,772,673,526,981,322,918,507,293,301,
211,808,734,934,722,000,760,259,016,911,841,139,655,564,981,484,350,379,509,
269,453,664,957,219,446,412,723,677,046,324,964,371,715,317,104,884,687,043,
551,968,061,437,255,722,497,099,600,608,655,463,455,608,263,200,816,835,264,
420,389,701,271,245,671,409,040,040,252,807,718,343,038,477,416,762,759,620,
943,288,840,561,863,564,189,663,936,816,346,440,573,324,122,726,551,065,469,
033,883,572,688,736,625,094,123,844,167,899,036,491,818,685,445,691,767,275,
632,079,451,887,380,233,783,935,527,713,219,510,993,365,967,802,762,995,356,
622,143,112,331,604,655,456,270,093,325,203,854,375,633,616,347,816,936,112,
647,137,571,358,001,122,175,217,663,974,622,506,670,689,759,537,520,971,388,
563,145,530,673,039,227,366,069,798,102,899,421,579,269,076,826,591,873,239,
169,550,572,526,912,469,902,290,914,829,932,030,720,913,011,967,320,009,253,
387,718,950,595,246,333,109,383,625,176,419,267,791,374,003,939,669,522,055,
254,382,211,442,805,380,688,412,344,595,092,383,659,475,238,576,096,825,952,
751,273,575,430,733,306,032,241,825,051,660,580,173,133,423,789,699,516,404,
546,338,446,250,856,217,611,644,818,068,848,029,707,671,247,745,561,382,094,
695,196,632,885,319,546,140,025,123,341,456,652,886,489,077,031,641,806,537,
707,867,661,741,678,313,920,380,266,771,654,903,189,457,339,217,120,991,614,
351,735,515,859,590,007,887,040,314,333,392,150,379,017,310,611,659,777,043,
647,118,222,560,287,923,843,453,152,818,054,244,031,387,756,200,936,273,091,
300,625,268,782,642,176,795,360,170,875,329,966,997,806,149,988,234,730,593,
965,329,834,739,466,769,601,054,640,314,339,520,529,556,221,942,449,985,537,
709,732,713,668,201,932,271,628,520,263,879,998,570,857,297,417,561,061,152,
367,187,192,968,572,949,233,081,944,990,132,449,428,693,676,699,402,901,873,
087,217,509,926,846,764,290,510,034,515,638,084,461,571,931,667,966,708,764,
794,713,666,360,073,237,457,939,682,805,050,403,300,794,193,725,511,399,788,
845,966,753,298,648,678,029,209,777,289,330,503,963,378,176,077,780,776,892,
726,383,355,519,269,814,851,908,668,128,176,413,830,668,395,447,064,025,055,
402,170,541,322,217,977,604,459,644,233,937,972,012,911,023,446,596,641,234,
571,664,005,355,807,211,686,695,408,597,223,279,001,701,732,322,522,876,270,
140,732,656,841,620,375,567,246,084,953,432,123,051,732,068,211,688,287,182,
366,094,065,318,102,213,848,045,517,572,705,858,751,072,667,598,413,892,049,
830,622,160,282,047,004,588,949,886,648,153,401,637,872,376,088,602,558,685,
059,503,514,480,752,140,593,643,972,175,137,218,285,490,700,341,878,866,468,
731,152,836,093,365,648,952,525,129,259,742,480,150,210,951,356,548,927,987,
663,342,990,234,335,326,634,071,337,033,676,335,212,540,326,730,093,155,753,
078,150,616,543,894,560,008,417,769,378,943,843,613,198,308,093,215,155,576,
183,706,792,495,038,996,327,388,328,807,303,994,231,712,171,001,534,546,404,
152,329,827,818,081,581,986,833,603,492,877,981,466,972,810,146,355,157,936,
528,837,589,638,509,542,304,006,820,422,394,526,501,755,314,335,387,724,297,
404,019,487,644,014,479,877,571,437,457,899,545,017,779,394,015,770,558,236,
927,849,633,564,331,109,001,850,608,325,279,100,000,274,025,328,252,929,730,
187,918,326,316,355,795,536,832,068,986,613,392,330,058,502,850,532,746,932,
525,152,089,654,822,011,123,494,197,189,797,232,455,423,685,004,442,522,597,
534,038,394,401,644,759,552,183,028,728,551,821,525,381,585,826,998,319,475,
932,885,100,113,338,489,133,456,740,279,753,630,180,241,395,124,046,371,902,
363,362,404,513,377,393,757,493,091,277,908,806,051,754,010,673,675,532,769,
773,224,806,506,735,534,491,781,258,235,322,074,746,029,217,298,210,910,933,
065,801,025,480,224,502,324,670,107,602,295,287,074,537,673,932,301,844,233,
432,268,789,414,596,384,037,435,029,291,730,088,022,255,467,397,737,128,840,
402,743,345,165,820,059,922,687,092,565,585,654,571,512,429,524,248,927,904,
634,594,384,606,187,914,995,152,383,281,055,318,035,287,867,348,633,194,745,
061,610,835,429,213,887,246,075,345,357,643,130,983,855,691,229,063,598,385,
382,009,191,476,865,545,077,679,387,930,612,633,587,901,313,321,368,086,197,
120,766,268,650,106,585,929,946,762,726,329,591,760,633,986,977,998,172,910,
768,088,173,531,736,132,063,195,215,440,486,348,369,266,349,714,449,697,816,
298,988,049,740,265,950,671,494,219,111,926,231,394,217,813,487,642,001,344,
103,028,943,413,894,116,753,135,042,264,691,667,995,618,045,949,414,837,715,
012,079,965,677,996,947,795,066,906,463,642,743,929,341,666,272,413,604,549,
215,673,912,220,638,833,667,781,325,381,807,781,118,821,206,936,898,545,836,
364,071,183,464,125,558,423,035,809,386,889,526,314,973,316,656,384,195,090,
820,818,225,063,567,979,761,270,671,703,457,263,367,701,415,901,469,712,422,
393,357,005,530,454,510,121,412,338,424,084,945,444,199,627,798,718,192,367,
104,670,249,354,644,923,675,954,296,039,619,393,790,297,893,947,530,494,206,
030,495,674,222,016,757,481,588,187,538,670,841,628,815,390,848,878,942,538,
902,100,957,025,567,845,082,516,039,541,705,450,333,515,297,250,566,649,976,
243,674,436,745,240,017,796,820,970,525,284,487,464,716,319,487,429,638,619,
349,304,718,608,919,915,404,070,986,501,994,222,398,842,856,136,497,150,981,
807,772,868,166,677,296,841,614,317,227,983,969,438,436,764,829,258,329,861,
015,259,156,262,092,782,952,083,624,203,051,829,666,588,045,082,109,180,617,
108,915,179,288,334,874,848,366,194,436,896,167,705,896,890,808,987,963,291,
469,560,821,808,276,695,766,293,355,283,146,310,573,420,449,594,635,477,636,
593,108,122,613,526,887,328,509,652,366,648,831,391,094,396,136,846,225,895,
681,533,576,310,514,581,729,217,459,668,977,113,101,929,453,499,965,953,241,
471,181,933,287,333,961,537,649,715,628,726,723,554,397,636,495,175,748,361,
566,680,194,649,660,408,843,482,578,895,053,055,301,273,890,918,286,399,167,
054,823,964,389,125,464,927,415,682,753,073,301,077,288,023,960,501,886,847,
342,192,795,633,905,947,206,613,493,961,344,624,748,758,355,969,718,090,581,
506,091,562,959,904,587,550,352,052,118,814,213,120,313,632,318,329,946,387,
120,272,587,627,026,650,658,271,623,117,822,328,488,373,463,169,752,406,248,
638,769,158,122,366,641,373,033,543,511,517,175,752,335,076,208,766,904,047,
388,405,851,597,572,380,744,893,662,224,334,101,322,586,675,547,809,067,135,
221,616,675,670,614,799,594,131,555,497,604,693,011,568,502,643,306,147,491,
855,332,891,966,725,527,332,192,907,051,690,699,945,757,111,811,393,936,845,
024,490,095,662,884,298,960,032,424,576,653,846,097,822,588,789,343,793,982,
870,143,752,894,042,235,548,920,731,362,769,307,991,247,260,947,520,353,481,
953,345,264,109,087,965,236,634,250,517,243,272,673,373,428,713,982,507,150,
838,570,210,534,398,252,048,832,622,588,684,660,949,173,654,192,877,079,297,
167,052,268,709,919,618,358,365,790,773,583,852,396,692,144,910,775,547,477,
670,875,632,919,895,042,855,589,728,273,817,497,486,438,600,926,483,166,020,
530,905,694,729,639,146,222,199,056,081,802,021,804,265,577,002,285,274,967,
756,695,163,143,170,853,303,257,022,327,544,900,077,832,555,049,358,694,736,
103,503,371,419,379,440,999,961,385,496,764,986,504,164,101,025,400,104,557,
346,125,584,573,358,348,473,292,222,489,268,641,914,478,366,102,306,007,660,
484,285,390,422,916,750,197,810,177,156,265,108,325,021,085,517,034,305,781,
126,088,304,211,253,394,144,014,490,337,315,588,235,675,895,883,062,158,251,
264,762,126,468,607,223,933,945,500,062,121,763,144,067,825,627,864,636,041,
382,336,323,917,584,748,376,551,631,448,623,475,370,112,588,215,311,143,219,
254,595,459,853,542,043,607,814,753,575,190,177,801,579,955,887,817,747,554,
337,896,088,229,039,043,102,287,085,518,138,503,386,478,748,526,294,584,807,
647,252,499,277,830,567,958,366,794,086,174,602,692,509,759,931,211,978,899,
138,901,779,055,998,559,443,242,627,111,523,378,625,031,784,044,525,815,632,
058,319,308,603,750,888,045,903,021,951,629,423,152,128,777,156,903,015,158,
594,398,754,816,873,661,971,690,698,618,659,323,490,485,256,469,967,830,041,
676,599,369,769,081,920,919,301,274,612,856,021,456,172,880,672,360,005,944,
464,554,965,427,177,346,097,879,523,571,737,435,311,970,127,130,198,002,810,
248,814,123,607,495,254,227,745,820,187,597,023,464,431,433,550,883,613,351,
931,623,694,078,231,780,229,219,972,595,819,674,514,347,427,659,611,311,611,
783,651,872,105,873,463,175,867,384,028,649,869,581,451,687,864,792,320,370,
174,483,856,497,230,627,067,002,818,515,587,989,281,311,718,567,618,697,996,
621,311,884,054,790,705,154,531,174,348,793,224,797,938,784,807,321,409,082,
287,397,161,585,714,791,339,711,928,901,959,589,893,215,435,824,008,101,619,
310,657,242,804,259,154,565,916,610,968,620,327,804,355,330,365,732,221,708,
094,071,540,314,508,828,460,513,072,504,221,653,008,304,855,938,230,953,214,
971,694,501,783,359,345,567,741,997,339,277,710,127,082,255,189,901,988,169,
124,443,198,378,780,671,850,950,491,037,566,547,261,678,757,245,809,713,990,
235,842,042,006,838,982,636,531,349,392,260,704,864,533,308,118,640,999,961,
985,395,006,807,151,662,718,892,667,660,976,070,567,002,250,252,837,000,671,
735,638,302,247,404,508,505,465,437,798,081,862,305,061,398,364,211,618,549,
798,439,578,350,526,814,834,536,704,911,863,475,272,649,561,322,738,012,131,
508,452,816,300,372,611,285,656,061,901,391,854,892,210,764,497,294,665,465,
758,292,232,927,364,932,911,391,510,376,945,755,182,765,624,333,626,883,802,
387,910,759,027,913,534,648,679,572,340,234,772,859,574,581,856,922,365,061,
297,147,990,111,021,849,984,584,829,327,315,444,244,337,413,352,944,117,056,
899,938,738,365,617,567,956,952,913,058,153,336,846,863,454,555,415,472,320,
853,527,499,171,442,759,478,997,446,684,768,883,192,376,074,577,595,251,398,
534,001,813,815,503,270,863,125,455,844,189,690,926,747,164,801,003,427,053,
156,898,963,318,237,617,199,737,909,320,985,218,594,455,826,430,678,671,375,
514,923,935,912,087,971,235,150,596,551,793,494,179,739,157,421,160,337,928,
924,414,705,822,648,545,689,444,020,241,270,836,825,352,194,066,961,101,484,
535,631,591,552,474,069,013,328,890,324,208,460,673,375,462,913,223,467,098,
715,237,110,758,844,763,108,563,852,176,497,346,740,438,833,725,741,945,230,
272,515,485,498,820,763,592,938,452,425,734,625,140,928,655,972,057,581,213,
802,805,613,477,275,384,298,215,179,490,872,102,923,233,510,931,026,197,095,
759,625,276,330,009,511,794,405,981,195,617,458,681,444,482,811,043,933,080,
127,084,597,622,502,607,507,154,368,241,754,563,292,122,159,129,137,652,638,
562,253,730,607,382,809,183,159,573,453,392,553,227,700,145,000,501,274,290,
266,721,840,007,605,975,388,486,367,779,172,091,793,923,427,694,972,340,703,
781,721,721,504,877,836,811,314,508,535,756,639,603,484,432,994,346,252,897,
524,433,289,002,915,505,981,919,244,640,410,208,366,668,555,710,711,229,690,
784,110,630,048,258,647,323,478,701,189,619,345,533,331,991,690,648,814,192,
334,943,506,034,619,436,589,288,172,265,545,924,040,778,417,292,310,701,470,
931,251,172,530,719,088,777,479,445,060,323,980,621,229,913,348,866,331,064,
228,880,517,387,711,909,504,816,607,854,437,097,611,736,539,874,991,113,010,
465,642,022,117,544,213,421,337,118,728,767,217,948,325,335,835,336,452,445,
166,691,718,791,791,357,156,509,801,362,968,670,737,866,256,306,676,662,397,
628,115,612,980,916,583,031,511,891,492,231,315,352,501,775,641,424,139,621,
449,157,724,563,998,601,003,939,177,167,648,400,596,074,311,883,054,222,390,
710,152,282,459,097,234,225,492,186,645,946,919,108,808,236,136,216,582,337,
288,991,138,116,870,978,068,433,914,472,861,472,175,573,059,422,474,969,764,
129,031,937,370,646,752,987,444,462,153,888,896,669,730,696,182,824,652,252,
939,346,714,118,711,908,163,780,303,656,299,834,608,557,837,816,951,650,499,
306,701,233,247,301,338,885,409,008,783,621,661,416,765,313,627,787,418,329,
942,744,355,584,078,291,269,392,971,651,409,517,598,065,657,208,605,895,021,
728,678,946,116,099,172,546,381,376,760,112,219,683,553,806,422,179,002,426,
477,194,084,124,486,328,568,073,094,249,669,963,368,924,520,514,344,456,744,
441,339,163,991,343,441,692,074,901,915,648,921,906,176,759,477,131,799,999,
702,346,313,177,897,012,224,269,873,305,250,904,868,069,612,593,271,988,613,
246,929,380,583,393,683,787,329,482,702,857,847,841,989,025,396,783,097,926,
163,623,833,779,607,153,636,985,081,100,743,389,543,403,399,752,052,764,542,
503,453,978,940,035,387,834,937,033,562,117,374,965,086,585,987,055,985,939,
982,663,144,320,299,905,597,488,223,704,276,398,945,773,424,117,235,012,211,
339,812,978,650,394,179,693,397,800,609,849,090,556,053,136,107,040,018,741,
324,164,860,052,328,641,321,408,995,980,498,639,607,439,365,280,938,364,021,
399,806,173,202,479,688,298,994,012,720,725,084,199,016,924,285,021,865,777,
752,987,994,944,099,422,531,398,362,038,783,268,426,382,235,012,556,559,848,
410,890,555,530,637,142,687,078,572,480,232,860,969,481,275,252,601,521,554,
191,270,428,468,903,843,875,496,078,267,008,535,034,880,155,894,915,260,614,
202,033,962,496,960,379,363,683,384,993,593,381,519,532,358,111,398,996,675,
647,646,899,493,138,448,139,397,040,429,461,067,479,466,557,993,145,108,322,
621,055,340,004,381,226,456,301,631,186,735,685,540,657,914,326,958,891,561,
565,642,500,523,038,741,962,671,432,258,738,282,082,154,411,611,087,523,343,
382,217,067,345,185,750,002,116,738,892,024,349,853,479,116,261,173,940,790,
989,542,103,101,070,765,643,081,382,443,961,945,380,931,054,082,216,941,534,
261,105,465,039,583,260,307,099,679,483,925,298,373,446,621,170,501,193,963,
072,026,481,842,949,099,840,273,794,559,804,792,548,701,921,042,098,865,638,
887,718,004,717,884,457,526,153,399,219,252,993,490,119,857,957,821,125,589,
001,236,979,897,098,392,241,672,018,519,567,802,466,894,459,804,546,260,909,
527,652,137,318,558,901,669,523,160,926,754,374,684,518,003,265,274,120,772,
856,472,382,564,582,593,677,321,601,824,257,669,284,943,191,280,176,537,019,
490,816,687,107,288,466,767,908,704,178,537,042,295,805,996,424,325,143,887,
797,386,708,530,120,923,097,814,434,754,191,558,257,917,999,846,612,530,429,
601,934,331,922,270,952,145,297,031,775,124,705,877,964,124,638,183,300,720,
350,510,927,003,029,304,218,693,561,839,963,295,088,357,268,387,924,170,623,
614,466,374,277,592,622,280,338,965,038,883,955,768,857,429,131,418,245,329,
705,074,478,288,630,839,234,866,620,074,029,769,871,351,700,888,884,371,295,
997,747,668,807,952,356,134,943,262,219,513,024,819,542,196,294,418,429,441,
404,482,418,554,825,073,951,916,288,472,203,814,942,748,951,328,517,651,529,
786,560,188,599,201,261,365,883,550,053,075,683,620,780,384,598,451,510,842,
535,923,586,499,872,311,270,913,950,357,466,874,455,453,762,718,958,085,900,
200,363,300,727,906,163,059,864,932,907,123,376,222,719,422,807,859,009,025,
688,160,522,217,918,108,859,139,043,715,256,454,511,510,149,608,884,240,999,
108,042,276,519,351,855,990,007,758,308,038,960,677,502,101,172,445,391,962,
632,870,276,386,734,530,388,139,237,282,663,776,097,819,292,438,969,284,609,
833,226,497,872,542,871,003,179,060,064,224,244,332,109,256,783,214,875,552,
381,001,174,632,339,115,466,279,149,246,274,898,664,382,486,531,780,285,555,
080,185,541,215,612,184,858,797,688,400,840,196,352,004,706,456,241,119,176,
984,244,979,896,086,347,989,837,942,722,509,502,242,486,656,334,503,646,891,
733,728,767,423,190,854,795,874,400,435,375,151,148,938,303,088,255,357,286,
611,640,757,046,457,019,796,904,527,161,604,999,031,069,181,697,824,492,227,
878,840,124,691,559,308,525,589,519,823,645,214,528,262,756,257,456,605,619,
150,581,312,201,935,861,240,604,997,044,088,640,838,640,250,564,369,447,404,
872,722,117,297,645,820,430,614,335,402,180,600,670,877,640,104,000,044,340,
655,090,854,412,841,573,623,048,469,328,540,637,734,308,751,573,597,876,857,
787,500,551,935,053,597,176,061,486,643,687,302,860,760,400,032,152,481,294,
555,859,580,076,657,680,128,946,361,964,770,297,807,618,633,192,846,114,463,
330,003,765,550,121,167,790,670,242,945,316,688,526,836,026,222,868,939,400,
311,237,578,853,410,614,068,799,445,480,287,635,697,574,745,803,433,904,749,
431,374,672,706,852,564,176,359,193,629,909,751,318,724,264,169,136,830,703,
063,146,669,639,227,034,874,502,688,830,671,191,594,937,196,913,003,983,569,
340,771,996,319,734,594,772,773,584,957,795,684,849,701,464,683,999,047,984,
095,468,719,504,797,378,453,496,922,983,197,964,984,194,709,273,281,161,517,
655,970,252,274,853,914,287,544,556,799,901,198,499,545,050,168,417,954,051,
079,477,852,179,953,015,120,924,967,476,580,671,003,435,652,200,644,685,005,
513,612,100,367,052,580,740,521,755,261,276,489,804,345,505,542,678,206,304,
687,997,361,735,986,341,067,473,088,916,564,882,329,222,585,328,678,920,433,
047,477,217,293,816,305,867,846,020,708,946,094,795,759,671,873,597,039,305,
543,442,551,290,566,451,713,870,994,570,735,203,223,334,787,306,847,144,751,
236,295,181,891,257,986,422,211,865,517,417,746,022,610,373,244,549,936,639,
504,941,829,957,881,673,315,160,448,972,734,312,573,849,884,248,313,887,333,
176,693,722,578,304,810,012,927,428,623,720,517,653,090,866,984,345,664,666,
843,916,477,666,324,524,982,228,965,189,621,370,053,547,701,133,551,298,560,
054,698,494,112,235,770,019,990,066,200,265,329,418,559,912,181,860,938,970,
344,047,058,061,466,749,774,143,025,692,982,534,327,812,199,512,888,711,332,
414,767,180,209,345,246,060,740,082,225,430,790,153,632,989,052,194,212,234,
743,606,208,547,928,310,611,987,097,994,396,500,215,019,112,568,397,171,117,
952,257,509,425,113,381,691,196,368,166,313,986,011,460,806,278,013,236,376,
459,528,949,509,438,149,040,150,897,933,626,385,855,760,649,830,013,416,828,
649,078,231,057,947,409,360,532,992,915,101,096,048,261,494,270,358,178,154,
333,448,177,529,094,313,827,847,764,757,557,845,772,555,734,341,284,326,606,
627,378,010,793,288,578,881,323,843,305,147,952,750,246,548,174,117,211,865,
293,778,491,662,433,636,340,462,192,619,105,884,968,971,927,747,698,727,006,
272,147,203,032,868,276,748,502,238,091,557,900,641,923,732,238,331,828,794,
598,203,360,710,258,321,340,054,976,229,817,394,674,073,577,114,927,623,286,
052,696,159,605,583,036,447,024,336,849,045,521,051,858,767,661,168,779,263,
613,534,841,986,130,740,096,340,865,449,963,277,667,788,790,110,443,152,287,
407,717,038,083,097,568,061,279,563,686,780,714,022,707,513,412,090,548,328,
758,058,561,836,557,944,640,913,115,618,554,845,080,094,084,216,568,175,216,
807,155,496,691,079,243,504,371,699,157,404,392,452,207,477,735,440,968,965,
130,033,830,228,570,023,955,375,452,397,500,312,895,122,167,187,095,695,093,
237,033,202,404,556,187,724,059,717,446,613,769,254,590,189,507,198,562,757,
921,530,636,479,650,102,294,835,481,239,718,296,081,994,184,105,413,224,946,
442,337,896,511,337,236,357,435,761,609,058,619,286,754,346,449,127,967,823,
926,356,501,296,664,421,597,162,485,615,545,425,146,038,851,700,656,664,295,
559,376,281,908,124,783,903,473,749,966,973,168,162,939,697,201,564,784,538,
929,169,967,502,349,669,617,236,255,314,395,645,238,226,614,849,191,123,822,
723,068,796,989,025,226,855,037,215,709,338,936,573,171,461,378,981,258,898,
247,802,072,638,638,930,460,680,030,310,215,689,111,614,846,465,984,354,829,
748,334,680,599,246,201,945,002,513,668,664,634,632,245,874,337,229,189,288,
483,877,351,341,661,303,657,714,002,499,580,687,069,074,367,429,747,869,291,
432,018,982,570,212,747,186,814,903,751,962,672,783,895,316,585,108,321,441,
661,373,162,317,725,853,534,052,181,255,270,226,492,712,513,544,012,346,370,
743,091,574,518,609,616,653,834,229,059,242,970,301,360,792,862,384,588,583,
989,897,309,175,451,305,057,756,853,616,089,457,595,792,562,499,452,304,834,
688,929,822,924,552,770,118,698,056,388,314,675,664,687,499,372,610,287,275,
176,612,130,326,041,450,518,486,288,613,899,995,028,098,389,540,007,840,055,
933,351,961,950,140,250,104,045,202,733,896,439,651,453,582,537,519,838,030,
214,233,780,273,305,971,227,279,613,654,168,763,333,798,169,433,069,560,082,
404,603,503,005,004,612,916,262,594,292,078,460,288,810,445,548,852,373,573,
299,003,809,402,213,830,474,364,808,402,710,033,099,361,272,351,352,839,768,
852,238,569,975,851,103,871,763,977,011,550,283,802,935,048,320,937,950,942,
036,208,399,407,643,654,174,545,682,983,989,456,892,179,170,060,024,168,471,
410,296,644,444,026,734,655,857,056,072,361,835,126,265,150,966,396,423,154,
180,225,126,242,435,397,590,595,155,659,472,935,482,743,106,327,881,073,494,
722,169,341,974,308,320,543,340,298,339,056,295,313,689,792,448,456,658,349,
151,956,917,972,638,613,947,317,418,556,133,234,154,467,573,625,234,226,176,
239,720,748,717,041,007,691,428,062,436,199,326,608,321,805,434,701,623,695,
881,066,227,579,308,311,025,526,155,286,710,899,077,904,647,894,626,272,086,
955,477,714,323,566,238,313,802,489,146,174,303,500,889,558,851,677,320,138,
051,638,669,989,100,133,175,039,938,291,447,400,139,311,339,888,795,771,319,
393,494,376,922,117,755,425,609,704,237,789,578,231,175,278,508,946,275,325,
812,594,168,922,604,878,099,618,126,244,418,988,448,144,950,049,582,459,040,
348,806,472,712,953,076,929,042,979,267,778,030,607,566,750,822,233,643,305,
834,307,863,914,240,233,967,827,269,346,032,803,545,229,088,775,019,004,005,
263,116,285,401,221,618,686,068,260,577,211,700,043,521,760,135,949,042,940,
032,981,392,049,222,664,134,503,001,344,539,440,455,928,804,292,759,556,944,
711,065,905,698,728,694,238,622,120,410,305,416,039,722,402,259,964,671,678,
311,266,969,155,646,400,041,505,640,941,902,062,188,700,520,838,382,418,901,
664,517,804,014,020,511,431,073,006,157,426,845,998,285,675,873,589,169,918,
417,279,881,422,272,773,874,974,787,269,669,198,346,200,293,364,548,970,895,
318,075,121,486,715,303,437,998,552,225,681,239,238,370,454,968,327,505,866,
998,886,229,596,715,812,945,375,206,690,205,210,678,122,323,703,854,407,315,
580,565,412,496,307,579,484,044,800,670,209,423,420,335,605,042,404,585,357,
857,076,972,990,987,275,732,398,815,921,574,226,504,516,956,822,661,461,652,
151,693,845,514,743,256,891,244,874,606,201,839,680,639,725,885,477,393,182,
461,177,600,560,832,957,726,810,193,500,926,758,444,018,395,736,751,128,964,
182,177,961,109,008,657,575,610,320,971,684,693,991,593,444,761,680,401,028,
117,924,208,945,653,298,947,555,026,097,353,657,914,319,266,705,935,993,928,
050,457,111,386,919,699,841,614,480,712,426,691,129,268,811,386,595,793,362,
918,465,729,352,695,910,088,947,172,806,292,774,137,472,519,495,361,424,413,
996,357,693,859,524,478,123,384,584,052,817,990,836,122,984,443,856,829,242,
880,314,245,439,705,045,702,792,595,646,451,941,467,030,588,231,889,274,475,
930,202,703,812,839,300,048,900,813,890,540,293,962,296,696,655,732,557,234,
099,953,413,554,232,489,590,726,849,282,245,775,926,214,724,936,818,337,825,
058,921,957,856,329,153,985,615,011,205,950,811,362,068,256,632,041,039,226,
637,576,520,021,913,788,651,588,684,694,118,392,868,774,793,296,263,331,231,
668,685,890,854,726,001,998,498,889,854,025,496,027,578,503,563,548,244,043,
615,964,777,038,392,540,808,200,500,922,910,268,444,955,963,958,907,099,736,
084,254,981,603,611,261,796,299,612,293,608,062,618,524,747,414,286,637,827,
650,081,558,166,454,305,425,013,362,958,578,329,940,419,245,398,013,911,111,
873,539,237,165,455,260,517,737,351,458,194,164,209,494,486,188,854,213,916,
143,661,224,020,890,489,514,973,550,214,633,071,316,915,922,347,742,117,621,
457,256,492,044,104,019,969,287,654,935,724,200,495,883,810,426,614,141,794,
713,682,598,018,741,393,777,448,778,881,149,902,930,530,227,559,597,023,858,
967,359,096,089,884,593,630,607,079,392,499,925,665,003,508,614,724,102,623,
359,658,983,837,658,909,049,304,784,703,991,262,242,891,733,148,668,853,866,
779,605,281,068,845,931,826,780,838,856,347,975,620,495,877,217,484,397,229,
327,295,875,616,627,181,176,076,905,074,803,168,059,489,082,285,321,338,129,
716,864,445,269,337,513,317,495,935,703,054,648,027,645,023,989,037,197,363,
333,314,263,470,012,682,173,362,605,296,687,297,899,057,985,449,495,357,566,
691,588,267,537,255,960,573,205,133,537,362,801,128,750,216,576,635,566,518,
519,955,427,894,455,016,550,562,620,686,091,185,384,675,973,985,786,266,948,
753,901,162,323,332,284,052,928,086,916,449,890,822,649,733,242,320,700,189,
379,694,371,547,673,713,365,112,947,989,757,181,081,830,501,255,823,042,203,
971,763,792,966,748,038,897,445,823,201,119,665,366,203,477,850,594,543,667,
478,796,717,588,951,064,708,397,941,232,477,331,280,883,684,447,650,710,995,
631,602,207,012,957,724,322,393,309,465,515,776,765,734,438,315,217,037,629,
623,152,554,306,989,709,221,399,011,869,103,615,322,913,274,323,933,455,091,
622,907,640,222,516,225,552,460,479,960,833,364,787,297,437,343,482,933,306,
453,729,155,043,947,251,064,975,430,646,227,401,283,165,998,064,064,933,558,
925,273,154,343,198,082,615,018,070,507,041,048,075,958,338,104,408,037,450,
695,130,805,072,878,431,670,530,800,918,441,865,667,076,552,927,692,467,251,
969,831,824,532,095,436,048,830,755,139,432,534,387,939,803,425,768,766,816,
180,387,059,775,202,861,613,050,014,842,784,822,568,130,377,721,592,561,630,
550,604,272,615,555,101,326,075,814,038,284,444,393,242,375,397,388,723,108,
700,812,413,295,423,322,400,700,553,464,099,799,341,450,508,568,943,545,580,
825,691,415,138,769,605,642,504,591,562,061,754,678,349,736,768,354,218,482,
499,050,838,038,254,043,705,017,045,358,244,103,317,297,759,230,314,961,717,
164,030,999,508,479,621,373,624,082,990,206,735,809,837,552,375,731,071,408,
108,232,065,425,486,935,346,917,124,410,443,865,252,822,061,637,307,005,104,
434,459,162,830,169,501,414,433,203,873,918,357,142,337,891,057,130,050,870,
762,446,323,650,608,158,928,023,635,871,528,903,617,483,490,274,972,596,513,
577,440,997,192,260,600,265,780,134,040,517,364,396,314,804,064,836,508,994,
224,032,038,033,878,525,332,509,742,169,808,855,497,501,573,861,132,440,767,
413,166,564,868,322,156,235,648,827,440,920,460,897,390,784,184,889,969,256,
655,026,088,931,760,736,841,314,285,000,785,666,853,108,819,604,021,474,486,
109,397,597,622,322,860,034,006,655,611,267,377,915,367,852,180,940,327,035,
024,506,796,693,703,307,205,089,526,808,855,111,742,727,259,394,568,176,213,
102,939,181,527,251,042,095,538,021,060,823,480,046,025,218,531,486,656,780,
252,557,479,394,981,864,360,539,156,794,267,442,131,892,020,765,417,629,670,
635,296,739,745,686,137,695,406,213,282,664,193,741,502,926,420,584,083,664,
271,746,279,338,899,077,801,607,459,420,665,739,795,597,619,188,803,246,383,
042,072,695,922,563,918,247,091,044,901,767,218,024,462,550,010,140,236,653,
243,360,616,347,763,395,276,061,927,361,744,799,356,167,774,809,073,153,039,
946,702,634,840,139,181,492,150,594,265,610,182,721,696,751,078,063,476,343,
241,335,638,770,236,612,318,550,943,611,440,973,505,982,092,908,257,828,800,
545,100,683,006,887,795,615,741,726,541,865,886,462,363,694,474,416,581,189,
054,564,997,989,831,878,013,755,635,440,672,209,818,893,351,293,495,225,448,
198,494,248,207,919,457,535,153,303,641,355,270,646,724,285,882,133,270,788,
328,164,042,071,823,225,401,058,045,460,159,501,764,170,110,511,069,763,470,
334,782,742,520,414,893,772,005,306,402,628,026,991,069,121,790,879,918,028,
570,700,605,223,550,158,372,826,405,168,009,192,865,621,773,767,122,302,803,
691,635,809,114,076,103,343,646,185,427,499,867,867,506,832,172,883,988,555,
069,261,620,647,074,311,940,764,351,712,848,017,610,560,356,351,759,542,172,
038,702,215,421,190,302,039,722,383,075,837,014,621,111,858,739,313,230,312,
359,046,506,712,991,772,068,020,185,583,760,306,015,641,052,852,999,267,514,
427,502,432,685,695,729,686,251,808,113,217,293,368,167,421,112,164,186,492,
255,728,152,074,655,567,514,570,457,621,488,872,925,487,493,296,075,456,310,
125,819,161,329,196,005,658,816,785,220,298,705,584,752,950,289,566,554,780,
723,512,378,807,304,995,466,933,942,407,742,254,536,953,640,109,856,861,060,
657,655,287,825,415,806,683,585,665,483,812,355,967,316,004,494,642,917,787,
500,318,843,767,716,796,490,280,145,863,489,735,615,198,026,824,145,213,438,
447,111,161,493,916,462,031,582,863,103,603,941,972,951,771,170,327,760,475,
164,882,426,193,637,171,136,362,265,900,457,654,746,682,697,586,529,722,995,
879,412,723,596,385,164,046,739,357,339,069,905,744,724,813,864,564,382,270,
344,109,288,428,070,674,020,878,336,441,675,008,866,420,774,108,052,493,465,
392,950,643,084,504,546,599,092,707,556,906,598,314,180,399,771,696,632,010,
776,111,843,659,079,213,655,143,281,984,726,010,331,397,135,294,560,455,952,
399,993,439,093,665,302,011,715,798,284,196,527,676,162,060,153,649,354,240,
696,885,492,955,484,197,941,632,950,553,812,488,260,064,404,591,353,306,210,
968,752,450,513,127,387,556,871,670,041,139,019,997,994,087,624,660,056,957,
558,665,766,970,599,406,097,617,654,039,332,814,146,756,979,702,809,486,751,
032,045,505,317,966,217,068,650,538,531,369,616,830,658,919,929,861,436,358,
326,882,962,783,272,593,048,300,349,353,692,217,155,610,148,589,038,805,756,
327,359,010,625,215,916,012,206,246,130,339,798,177,048,796,838,051,763,172,
349,719,671,342,492,845,807,524,021,905,576,438,333,176,593,183,447,991,638,
041,968,846,614,752,609,015,561,729,350,128,986,896,843,945,373,172,906,103,
471,322,710,361,478,721,831,922,975,175,319,957,729,858,353,453,938,139,921,
967,755,965,288,193,698,070,837,081,929,064,412,985,805,288,639,938,276,843,
291,690,422,885,045,672,204,061,490,722,800,633,232,161,906,465,383,588,512,
096,941,277,677,537,114,784,414,255,569,539,326,012,779,422,376,885,390,266,
307,284,710,483,256,142,587,548,790,196,462,426,064,167,564,787,496,259,118,
657,441,714,925,853,382,586,272,092,676,898,591,867,296,013,354,728,805,148,
051,241,176,707,911,934,259,826,272,367,076,023,645,679,120,052,834,423,924,
739,272,335,672,601,299,984,207,054,427,137,103,677,277,457,099,570,917,547,
511,739,680,035,700,855,315,328,942,413,526,435,273,721,344,497,310,875,192,
856,019,893,556,934,624,220,997,891,077,587,870,406,279,111,005,124,594,097,
936,320,598,540,683,899,556,696,164,365,161,718,373,402,790,923,177,303,495,
869,569,745,808,600,481,078,154,709,221,040,275,056,190,000,223,993,148,221,
712,581,601,578,346,449,443,556,413,638,421,144,734,341,086,904,441,097,561,
413,189,471,730,245,363,696,578,241,180,226,705,218,829,546,489,479,819,079,
090,484,021,688,559,183,543,756,919,954,500,887,476,508,187,074,124,263,968,
393,824,829,570,774,992,454,361,263,111,430,890,686,532,976,018,129,976,187,
683,053,503,409,656,438,592,800,932,427,063,136,493,104,969,690,832,891,623,
571,548,752,384,872,643,234,427,808,527,825,293,412,791,684,255,466,917,911,
536,664,612,816,868,905,172,188,069,797,520,516,634,205,652,428,407,751,147,
728,744,499,552,880,623,491,128,150,587,298,722,130,000,683,914,804,198,420,
091,361,240,505,830,836,520,869,353,787,827,758,153,142,070,020,732,918,439,
436,555,330,105,147,944,674,548,973,929,097,933,202,589,757,875,476,699,732,
927,270,149,798,115,239,065,602,477,686,832,991,048,673,785,960,757,437,499,
841,765,233,654,141,475,790,042,364,121,856,496,445,505,869,119,686,665,473,
379,257,041,426,720,308,572,984,812,058,819,792,917,797,191,265,390,150,907,
298,757,865,702,812,853,243,280,923,407,435,824,305,828,378,800,261,770,240,
597,053,149,070,681,573,390,340,256,395,058,821,513,631,223,120,956,778,786,
446,446,538,724,296,955,594,777,954,082,745,566,294,682,018,954,811,459,975,
736,058,657,762,308,061,595,784,587,163,819,584,029,971,869,896,580,566,629,
894,284,787,892,732,096,981,306,152,767,083,146,910,031,984,053,683,372,805,
469,856,961,071,638,596,485,523,241,612,068,127,456,607,225,303,789,095,507,
165,442,117,439,189,551,391,264,927,539,381,074,471,940,327,413,974,027,615,
103,467,539,450,832,465,246,980,871,150,132,078,004,295,945,941,869,952,577,
937,658,491,321,438,477,065,707,009,432,023,329,469,854,408,365,695,797,889,
420,474,406,744,729,689,659,040,819,416,396,263,363,796,429,170,303,232,650,
545,419,577,522,502,744,649,477,517,139,970,460,547,307,352,823,621,115,498,
385,899,077,237,459,820,334,603,165,490,350,361,166,149,202,029,685,838,741,
343,644,305,587,067,011,097,451,715,001,157,274,198,978,410,828,962,756,553,
197,733,347,594,840,466,496,302,550,347,923,834,000,030,711,881,066,483,332,
984,382,929,410,926,954,676,066,423,648,955,135,270,340,846,974,446,599,050,
237,446,825,244,901,747,027,481,907,157,714,014,180,048,556,925,392,663,362,
665,771,413,340,299,485,162,638,854,812,655,830,921,359,159,239,944,848,731,
836,972,455,980,320,240,598,506,552,431,744,662,544,999,706,692,008,645,711,
810,628,654,040,974,060,898,989,240,872,619,331,597,208,613,049,674,917,301,
492,463,470,120,744,903,013,958,728,674,528,920,735,267,226,768,117,730,027,
684,048,926,053,098,104,930,126,419,760,789,692,176,305,251,839,278,928,369,
017,775,975,326,453,305,572,635,855,609,486,514,463,236,957,029,450,296,390,
444,424,552,276,730,035,105,771,854,011,095,602,336,203,212,102,648,055,334,
471,164,573,762,085,798,440,494,250,393,723,009,600,666,259,394,305,455,929,
635,800,148,096,943,423,010,827,568,287,664,235,769,138,046,096,262,387,405,
666,022,476,681,355,356,980,344,854,829,862,606,338,754,267,130,598,156,314,
214,301,372,452,574,617,074,876,456,591,284,250,085,186,992,064,498,545,585,
386,171,058,848,117,937,312,345,961,747,074,039,055,245,645,206,561,637,667,
702,450,340,987,098,691,420,071,201,448,940,314,435,389,471,844,459,036,005,
859,796,668,889,745,462,026,870,354,732,881,678,817,743,189,266,635,832,431,
913,937,044,473,839,062,899,598,214,698,802,518,326,851,075,414,297,412,586,
029,702,205,841,652,965,339,176,605,639,546,244,160,635,624,896,229,324,457,
581,151,936,668,842,763,103,646,255,168,616,056,787,420,245,232,852,881,573,
968,942,692,584,623,519,080,005,296,435,877,127,528,841,551,092,206,169,399,
909,283,491,207,261,912,770,753,087,133,653,925,753,703,891,690,536,919,694,
269,029,698,744,374,441,873,039,578,687,956,831,437,283,423,794,844,313,959,
883,388,345,960,991,378,686,797,449,286,275,868,889,163,424,776,703,522,638,
337,889,587,622,322,299,688,295,554,473,458,534,198,298,413,871,524,176,791,
729,999,055,869,745,564,697,133,022,329,802,397,707,994,172,768,439,334,218,
444,130,647,574,998,682,703,215,596,785,276,221,874,180,789,649,091,349,739,
623,488,694,353,326,277,696,605,656,182,825,539,816,878,226,527,027,282,787,
728,242,993,605,504,865,717,291,040,649,937,293,963,374,930,947,572,727,658,
560,307,678,380,161,726,379,635,814,739,331,477,725,220,725,744,486,329,823,
079,768,865,416,720,364,718,325,944,964,629,062,289,497,316,419,138,966,630,
512,783,793,306,232,698,793,885,682,821,282,388,784,853,913,594,416,955,004,
099,385,437,870,510,754,240,572,820,914,901,569,932,624,118,678,465,555,722,
550,680,791,570,893,077,258,505,839,172,869,602,530,295,705,900,770,352,447,
575,424,122,617,249,574,011,840,637,299,732,296,927,086,609,417,665,021,701,
883,008,321,637,728,900,457,877,318,284,330,689,932,036,558,999,393,388,710,
228,181,904,738,378,648,527,965,919,633,146,906,967,578,787,371,238,246,134,
841,019,149,141,792,424,201,602,678,824,412,175,199,329,435,238,096,771,551,
165,694,216,578,068,013,040,038,787,707,750,365,396,114,305,576,259,864,984,
738,136,064,685,441,169,749,168,355,013,833,450,938,422,356,903,086,019,796,
303,889,582,206,148,237,627,021,907,576,510,686,036,673,425,628,370,853,520,
075,886,201,068,709,464,821,861,823,309,352,932,788,371,933,712,487,698,245,
586,112,178,556,025,170,109,681,442,185,343,905,423,242,768,359,941,076,747,
783,806,868,592,122,472,773,753,448,265,744,780,650,271,820,337,305,263,611,
519,417,028,866,371,169,431,288,244,509,597,033,503,840,664,867,196,313,879,
052,532,809,140,968,249,087,954,876,398,894,079,366,449,025,826,532,758,088,
234,243,941,749,396,613,885,502,043,909,766,214,551,451,657,863,499,354,880,
312,272,252,025,862,114,249,080,607,875,133,280,710,253,266,923,798,651,890,
777,194,126,764,345,634,018,964,728,235,596,934,305,584,714,381,469,926,333,
392,218,509,907,167,293,112,170,870,281,074,084,487,061,420,606,789,102,783,
422,354,686,996,861,861,183,695,271,970,722,893,453,503,730,222,521,815,116,
473,759,565,854,634,471,698,560,916,028,790,375,769,792,137,990,472,153,389,
029,045,678,053,773,963,020,285,678,050,937,756,581,083,164,463,317,066,395,
351,603,498,639,558,029,656,940,247,130,041,369,762,651,970,895,396,080,478,
275,865,999,600,045,924,017,351,561,876,721,592,925,084,234,487,504,474,885,
232,698,395,371,889,507,385,565,968,824,944,471,669,335,579,196,174,325,206,
344,867,354,200,158,834,560,592,668,775,755,617,142,310,874,886,427,495,185,
598,775,785,206,328,259,751,727,448,179,642,009,276,168,019,012,224,751,252,
617,127,884,737,100,083,697,316,292,158,257,705,239,553,943,992,286,152,841,
503,116,126,984,006,830,029,375,162,699,369,816,072,748,682,321,046,113,417,
241,233,541,280,467,127,994,160,905,697,342,764,336,324,345,973,571,525,467,
375,873,074,018,862,175,471,983,163,833,271,372,391,012,869,720,878,088,336,
415,313,723,122,646,113,129,663,748,475,378,584,564,839,823,592,985,766,999,
424,013,402,482,978,045,208,710,046,646,229,906,587,906,682,459,086,052,913,
618,933,080,703,894,362,317,072,174,064,042,604,484,827,402,298,059,338,613,
851,269,808,713,897,881,260,999,357,927,990,633,931,511,323,337,995,000,028,
966,413,406,146,729,424,018,022,789,655,347,974,429,124,937,343,038,646,327,
384,562,640,026,979,321,487,549,866,747,216,729,802,185,710,606,836,897,437,
908,958,706,203,893,844,166,577,056,638,936,028,232,122,592,303,867,280,671,
744,723,876,074,283,543,878,632,960,861,408,236,899,470,771,696,808,585,265,
373,343,160,179,159,478,896,089,969,164,196,048,900,968,430,760,808,245,956,
909,151,535,620,164,669,533,777,333,579,175,903,478,454,889,963,837,301,419,
731,094,618,869,704,028,551,035,945,064,306,677,327,718,600,181,674,332,216,
901,888,621,001,372,144,941,551,458,552,909,635,271,090,869,695,335,179,281,
265,404,016,695,317,559,172,313,033,591,893,761,621,149,856,493,249,660,194,
026,497,099,226,549,700,758,240,931,961,007,798,904,604,104,112,456,442,116,
082,779,121,768,648,001,929,334,050,447,541,873,106,490,183,625,991,755,192,
083,816,113,191,871,567,956,977,751,804,977,292,157,088,205,896,681,989,117,
979,888,177,750,157,259,344,632,164,978,632,658,139,117,380,800,214,558,288,
256,789,884,549,327,359,012,277,104,212,956,732,699,430,619,707,180,974,775,
857,983,479,782,613,486,632,382,683,131,959,931,060,142,436,125,059,309,452,
290,224,686,028,911,966,398,941,686,379,586,339,779,927,242,783,077,118,460,
221,467,647,568,298,890,004,402,456,067,473,806,082,591,065,322,845,306,327,
277,702,576,025,369,570,446,767,104,571,850,288,812,232,043,421,120,196,083,
544,282,205,340,334,115,706,551,843,086,111,040,602,909,819,322,171,950,960,
086,557,937,320,016,975,268,276,613,598,946,897,216,516,157,165,337,500,597,
510,768,575,443,945,230,554,040,626,123,970,614,742,135,765,889,912,516,448,
442,963,837,619,514,480,820,982,340,350,191,494,274,312,408,791,680,212,815,
674,473,238,000,735,397,625,325,035,584,058,994,723,945,303,504,110,552,181,
599,008,768,239,991,156,786,492,569,935,635,524,419,573,211,293,146,238,138,
852,071,345,593,928,890,861,040,803,567,862,292,333,057,032,942,071,450,731,
599,765,417,382,064,015,541,075,429,538,144,504,063,419,177,913,633,545,766,
525,299,297,781,034,048,971,925,970,302,809,584,823,685,029,172,593,457,760,
058,734,345,081,594,804,899,964,346,816,097,302,425,441,822,420,514,723,155,
178,052,823,462,617,530,116,774,226,376,972,422,221,352,973,514,865,219,271,
343,923,058,032,193,800,819,094,937,885,965,567,410,136,974,636,905,981,606,
020,999,037,305,293,121,170,971,685,839,328,118,231,022,344,095,581,610,517,
470,811,076,274,388,271,928,433,260,780,187,237,695,421,888,050,552,831,691,
142,312,271,781,661,611,147,683,920,679,400,913,314,402,274,339,305,508,224,
207,372,530,263,495,848,678,905,684,311,988,193,658,947,894,112,784,535,512,
398,507,733,317,137,513,204,827,154,232,986,660,879,334,155,724,344,745,254,
973,317,509,659,444,082,204,507,640,986,552,254,847,430,087,663,874,809,870,
708,983,872,912,243,733,931,061,414,206,032,878,833,489,194,077,839,675,899,
739,021,761,602,162,839,838,230,957,134,837,522,588,729,063,898,568,162,747,
467,015,217,851,983,539,632,043,119,651,657,005,105,227,254,674,230,505,306,
157,814,245,080,757,829,832,255,809,177,317,008,901,145,179,236,797,820,761,
309,161,781,798,083,642,496,307,581,459,723,432,643,538,940,704,926,828,225,
847,297,858,267,452,166,421,138,653,469,984,507,374,354,331,204,236,386,273,
589,885,912,240,945,822,754,433,931,770,119,963,218,873,300,318,453,716,323,
599,407,020,586,593,751,422,118,631,258,291,608,914,028,115,946,482,589,506,
894,527,667,721,639,875,444,076,385,835,381,841,209,832,183,270,022,327,109,
289,643,654,248,155,743,695,904,905,605,400,381,480,894,855,760,336,010,796,
279,721,512,990,595,282,270,402,360,513,689,285,012,785,139,807,379,518,521,
014,608,754,093,557,273,066,728,104,885,868,154,695,854,099,850,247,812,391,
412,307,821,700,005,844,215,655,088,928,419,784,220,304,525,819,066,211,942,
458,305,250,681,444,471,453,377,062,873,118,509,370,966,316,105,839,398,447,
228,262,065,799,190,274,704,445,971,972,783,546,143,941,114,553,316,444,611,
592,678,315,413,659,841,485,516,693,885,289,684,092,913,764,182,728,717,766,
585,827,853,595,293,334,734,803,835,947,393,101,148,460,308,308,144,228,235,
244,384,324,495,515,655,850,219,920,153,070,602,226,246,329,989,271,659,079,
096,907,833,620,784,244,548,931,226,755,763,441,282,885,656,714,054,577,296,
655,072,145,376,557,845,924,817,957,343,457,100,816,301,223,360,132,474,989,
619,934,141,040,956,745,412,346,900,208,726,177,443,818,937,073,810,392,346,
748,218,778,912,053,815,158,003,448,497,050,076,632,941,517,638,259,692,001,
848,307,695,705,074,334,958,740,877,978,325,067,199,716,064,084,290,599,775,
433,316,535,374,253,776,607,655,485,217,191,119,408,420,378,555,112,607,623,
967,261,377,896,973,356,868,093,538,546,974,675,223,524,776,401,299,325,281,
944,551,621,978,451,551,040,314,796,159,630,449,934,006,592,297,704,137,603,
801,756,103,244,706,403,995,242,424,147,158,279,841,310,037,800,800,424,426,
990,284,825,098,345,831,254,588,220,297,115,986,637,209,645,547,877,929,031,
720,230,594,947,593,834,177,582,511,108,581,272,407,056,488,288,720,006,681,
358,283,064,096,486,786,881,015,186,789,586,071,677,914,809,498,544,871,994,
052,858,876,174,536,647,317,638,041,640,005,392,618,516,635,039,309,977,699,
883,406,001,607,900,539,076,703,048,481,287,222,553,859,947,822,248,188,036,
422,873,973,915,862,889,258,061,437,344,679,459,164,196,224,825,799,705,800,
728,173,985,507,036,901,192,776,333,776,684,440,075,685,344,192,603,885,802,
687,350,528,649,151,792,667,825,481,444,199,515,060,973,745,080,527,524,690,
704,773,213,488,651,078,222,094,571,230,859,643,297,982,319,642,540,329,841,
460,098,494,327,513,424,183,298,096,517,992,035,190,579,596,531,898,356,055,
048,866,806,589,432,021,883,188,149,527,678,168,841,749,085,215,938,739,198,
047,578,795,942,286,985,973,726,779,866,750,521,891,201,496,462,411,061,327,
570,673,830,759,655,946,826,688,412,570,595,707,208,324,931,334,985,860,031,
366,344,353,226,284,615,738,404,699,701,308,682,158,029,438,923,434,196,975,
065,020,286,569,787,912,184,384,210,402,016,345,416,630,084,533,728,029,498,
268,648,110,389,210,539,631,027,892,615,684,954,340,605,580,735,755,644,875,
337,412,371,554,362,407,750,495,974,236,950,759,016,568,664,394,166,329,898,
318,737,262,550,561,548,631,961,005,105,529,328,065,037,420,138,599,199,106,
132,870,844,970,879,469,938,518,554,765,469,484,006,335,306,742,333,060,297,
164,696,360,632,264,485,258,501,515,757,054,354,137,488,034,948,395,745,348,
643,241,551,380,772,692,110,152,337,481,754,453,110,812,474,213,430,205,522,
840,308,895,175,423,307,881,746,326,628,361,720,561,526,439,506,037,596,328,
664,786,171,611,800,104,915,555,143,228,196,779,484,692,833,821,459,161,446,
206,832,128,951,144,095,929,699,008,067,607,296,823,673,489,238,502,233,401,
939,064,287,927,370,228,883,442,005,043,016,773,701,847,266,707,716,834,862,
744,951,809,540,394,479,368,648,667,846,555,279,235,103,987,096,503,448,011,
955,798,921,788,221,765,801,541,666,069,421,470,153,264,053,350,267,591,409,
264,700,372,588,458,196,962,716,112,637,388,574,379,497,603,376,044,268,900,
793,058,930,471,938,522,946,514,913,505,654,613,532,661,708,687,429,501,798,
568,961,866,456,954,373,884,872,047,084,435,021,312,844,110,019,142,410,897,
235,256,959,835,838,385,905,575,675,008,987,084,182,505,514,757,870,462,939,
082,616,827,703,745,002,480,921,536,643,325,579,641,463,923,038,238,903,757,
556,818,380,411,637,095,813,237,892,262,860,411,125,167,846,968,105,007,598,
956,567,531,467,909,810,670,184,751,588,385,549,070,556,490,829,994,265,977,
536,599,186,422,905,420,032,158,698,766,591,824,295,718,360,417,843,349,526,
977,057,611,161,729,290,353,950,764,423,993,454,433,968,096,518,495,118,588,
724,278,901,522,458,268,858,428,270,804,996,976,173,558,197,875,778,021,398,
251,594,603,130,741,244,833,371,860,192,652,229,202,222,058,587,189,000,033,
659,271,798,097,874,376,402,773,415,034,920,781,203,176,640,520,559,262,699,
809,281,607,147,516,439,507,515,459,141,992,858,607,121,732,990,027,360,774,
963,262,283,980,031,753,724,314,403,553,360,159,344,249,787,728,274,730,555,
299,509,019,692,160,376,701,215,583,564,996,821,222,328,624,833,975,391,219,
493,071,933,002,503,101,690,770,484,404,545,319,077,198,236,916,098,870,318,
639,960,127,089,510,032,269,496,876,357,991,008,653,096,879,754,570,726,218,
604,904,717,150,323,314,395,240,828,470,667,318,637,465,169,610,567,883,067,
976,269,752,010,629,872,998,819,527,803,133,556,529,860,338,685,275,410,468,
998,921,583,908,665,973,409,947,010,620,557,940,539,458,981,786,795,088,066,
286,515,517,545,549,968,084,931,089,680,569,485,365,415,261,174,641,573,157,
765,171,226,379,471,685,754,315,249,441,085,860,454,637,214,104,750,069,683,
466,872,283,299,683,618,382,197,715,128,327,055,726,015,364,664,781,821,087,
046,807,558,571,156,773,700,651,589,765,099,050,827,326,737,026,224,801,385,
606,032,228,017,723,083,984,053,425,102,902,568,839,028,842,393,383,873,834,
103,444,778,294,660,721,741,271,048,395,006,058,954,395,775,059,779,593,291,
782,852,567,187,988,617,912,223,964,917,451,239,148,292,730,947,373,706,124,
158,312,920,564,558,607,342,713,614,977,651,518,345,502,253,854,609,677,420,
677,221,513,656,268,254,160,505,780,031,323,968,202,616,026,751,243,821,562,
858,006,809,852,091,237,163,240,818,496,477,592,967,168,478,681,835,474,705,
238,496,509,690,897,360,362,406,599,205,205,882,894,135,984,655,786,281,746,
035,909,801,755,373,516,591,915,665,598,070,811,941,853,554,148,482,435,015,
972,335,512,385,436,235,601,355,313,779,249,398,485,851,508,076,376,825,281,
444,572,826,305,288,238,728,086,467,541,588,463,988,326,596,638,108,031,527,
466,515,190,986,014,958,153,515,822,754,716,195,434,610,504,326,085,818,356,
319,996,046,728,736,364,259,098,751,536,724,904,786,696,501,505,013,484,658,
811,560,191,797,223,956,608,295,977,967,607,072,318,924,181,503,246,423,948,
369,209,763,216,072,629,200,553,270,985,838,947,151,482,081,464,518,728,760,
348,930,237,695,712,269,545,196,029,633,787,270,294,162,394,988,267,708,142,
723,595,630,667,725,912,431,665,307,416,236,131,046,139,769,019,490,545,768,
709,369,704,178,689,394,463,321,830,107,209,192,637,444,232,766,069,300,785,
232,894,673,342,518,199,156,699,512,751,067,567,383,745,683,130,148,984,995,
540,910,202,658,482,860,405,321,334,078,682,574,453,520,239,716,690,147,529,
178,122,059,023,263,168,067,568,349,211,263,187,567,920,089,657,258,801,315,
803,092,045,684,586,094,861,190,682,414,387,069,384,306,812,954,059,615,043,
742,606,740,949,460,592,268,037,653,358,994,584,889,002,035,496,160,283,195,
138,421,508,887,563,174,734,688,187,986,303,453,553,389,206,788,624,917,553,
660,640,001,645,167,857,050,671,901,796,531,186,648,165,006,072,867,069,314,
459,102,341,636,590,499,088,251,497,538,255,665,420,498,488,109,929,349,977,
533,550,860,510,516,049,883,431,104,421,661,818,097,423,503,278,553,319,102,
397,095,258,162,554,669,838,966,970,661,898,526,075,223,259,159,322,339,847,
015,922,825,367,716,310,505,155,071,085,637,376,398,464,816,882,081,529,456,
586,145,868,609,157,944,821,871,253,030,719,340,205,984,559,235,908,881,912,
485,339,069,960,922,632,346,590,718,193,042,595,136,054,344,301,428,501,537,
677,821,993,154,499,962,656,404,816,308,938,340,120,473,022,717,711,365,867,
089,091,415,474,818,592,155,956,735,447,970,568,293,715,489,948,623,999,470,
018,916,829,692,006,665,424,404,252,724,432,150,908,401,342,030,210,691,095,
334,327,644,143,955,651,978,566,600,416,074,526,318,683,929,936,709,627,685,
920,353,289,547,114,159,629,344,072,430,770,257,366,029,541,768,547,956,788,
991,828,058,226,161,486,041,526,918,129,698,386,788,821,909,351,556,684,287,
760,855,818,051,479,687,760,928,982,599,973,923,519,416,921,631,375,891,641,
321,935,138,880,924,767,141,423,394,950,438,972,776,467,147,946,152,545,580,
071,065,269,247,483,989,635,653,044,446,927,734,164,972,981,178,570,630,030,
403,935,737,352,977,045,612,383,918,185,430,658,762,354,962,483,443,781,211,
038,868,041,086,489,627,387,899,587,184,828,981,967,862,824,237,269,964,751,
593,731,731,970,803,137,260,170,650,074,903,242,263,937,261,608,582,700,666,
097,096,176,729,745,429,438,359,528,134,575,251,777,604,751,754,850,658,462,
171,630,989,182,458,581,641,986,278,182,855,012,688,003,291,899,101,145,141,
074,998,302,872,515,870,285,779,388,069,078,137,575,339,051,403,783,729,261,
672,311,084,798,659,787,849,225,694,971,788,841,118,118,909,110,463,272,664,
316,286,957,367,638,460,954,250,341,821,929,720,951,967,697,151,205,181,765,
059,453,574,474,722,146,059,558,675,730,075,435,544,824,654,597,419,205,795,
474,365,514,384,277,561,751,649,677,164,140,084,288,268,481,273,221,001,033,
173,968,536,163,806,495,372,549,051,935,626,579,856,641,692,953,923,675,403,
928,666,309,851,132,200,749,949,704,916,854,992,226,778,524,994,663,875,127,
584,810,979,413,592,642,681,222,832,150,682,928,607,977,622,396,125,113,324,
814,713,412,623,881,033,793,603,481,965,261,305,012,060,204,350,650,407,737,
791,379,292,022,594,388,270,811,944,510,885,506,972,874,591,174,561,545,323,
489,898,589,443,187,053,858,192,564,765,054,659,762,724,769,969,733,880,461,
250,385,053,850,151,901,180,545,486,192,553,626,904,103,376,805,640,035,912,
677,337,094,635,461,303,154,767,926,968,891,528,608,558,429,540,846,398,261,
291,357,955,301,330,766,966,934,601,725,385,261,804,071,404,879,724,273,152,
422,563,592,514,432,104,431,468,372,278,816,297,932,231,956,546,856,603,484,
194,521,204,671,282,195,879,906,000,979,850,205,805,722,299,238,370,137,532,
152,124,440,813,766,385,905,419,599,715,175,963,107,532,469,527,129,703,502,
355,095,496,314,397,242,818,780,718,497,085,721,676,916,979,025,798,955,689,
255,961,989,855,972,993,470,802,392,891,242,230,807,497,529,796,423,574,120,
414,553,233,202,669,734,222,205,406,578,738,218,979,181,866,794,450,789,076,
602,839,152,757,582,323,480,691,487,618,160,725,796,055,240,504,422,660,376,
161,041,335,817,353,750,853,128,232,970,086,899,607,410,607,010,405,247,961,
729,323,046,841,089,503,355,325,651,750,286,874,325,426,935,164,539,721,347,
105,510,271,781,864,783,561,268,535,390,939,412,060,446,003,221,642,989,819,
781,634,209,512,760,973,293,739,784,076,207,137,666,180,470,627,866,197,794,
423,134,682,705,743,495,362,365,018,213,206,228,491,574,397,134,420,071,956,
855,251,362,134,998,318,327,150,399,573,311,221,256,880,613,678,800,654,810,
165,014,393,352,991,885,193,638,199,098,592,931,234,037,353,054,506,793,769,
490,127,528,421,837,232,295,002,384,640,109,052,543,161,078,641,740,655,138,
125,183,085,805,028,022,329,368,569,738,131,617,540,947,625,999,930,777,298,
638,415,891,353,699,717,696,397,805,203,533,317,269,277,090,419,366,013,241,
667,069,780,843,269,629,523,936,342,287,449,240,208,515,375,728,700,070,570,
407,295,448,391,514,424,275,627,080,378,744,058,798,678,888,536,512,917,676,
292,159,848,491,692,764,522,051,977,808,515,817,686,074,111,277,282,130,131,
582,634,995,005,258,031,594,484,804,320,895,599,393,892,657,285,667,578,903,
150,652,709,012,221,007,739,535,891,848,392,909,562,641,450,782,828,748,254,
885,491,554,321,037,344,549,135,271,799,517,676,615,371,099,845,728,351,992,
138,967,083,985,024,950,036,242,517,304,443,551,093,799,175,182,068,174,152,
107,858,530,471,381,667,934,818,602,754,032,204,502,448,480,482,781,053,218,
542,574,658,046,923,003,505,160,663,302,299,731,076,695,383,497,008,854,296,
465,773,522,427,993,263,431,122,374,006,140,665,647,342,847,735,465,235,879,
381,072,225,617,919,833,647,704,387,985,296,915,439,763,168,619,619,556,523,
907,208,339,351,731,931,163,636,516,096,194,483,411,980,867,129,322,090,254,
874,012,607,532,225,602,929,049,730,163,970,056,601,627,721,073,935,206,315,
845,773,951,833,231,688,094,514,517,706,451,329,409,608,538,440,155,205,939,
950,381,998,180,270,947,428,141,880,642,768,877,495,667,475,149,114,839,006,
709,378,922,218,619,847,406,939,874,598,520,663,957,027,754,657,651,398,219,
504,597,201,119,113,434,660,906,498,291,617,888,738,417,366,412,891,930,592,
868,249,763,640,609,732,506,617,649,559,691,131,838,459,420,121,406,593,463,
867,257,811,699,174,849,761,605,911,560,791,834,199,533,041,257,367,418,589,
120,614,583,874,511,859,439,861,958,003,287,259,347,903,761,055,961,958,052,
283,711,464,311,917,746,799,280,532,794,818,283,002,808,409,463,121,923,697,
666,061,357,629,026,418,337,586,848,889,145,794,894,038,451,702,690,430,440,
216,902,735,905,581,240,408,026,430,982,484,158,753,904,879,245,848,358,155,
335,810,150,817,550,093,846,749,896,328,177,622,192,098,604,749,591,996,127,
503,462,112,078,440,357,417,891,548,126,442,613,340,347,525,724,576,034,554,
960,263,402,031,493,709,681,715,347,289,554,545,623,974,441,985,759,391,931,
070,726,952,161,810,052,323,135,377,227,619,346,021,601,753,099,108,889,832,
675,612,886,477,276,064,611,845,187,778,402,737,017,567,551,877,477,918,715,
137,762,107,875,553,443,673,175,808,618,291,416,341,797,383,989,078,467,563,
584,039,785,594,103,501,049,684,946,348,176,562,432,692,686,218,398,765,911,
940,066,216,256,457,588,396,279,702,078,715,490,985,304,957,926,430,901,399,
756,695,406,579,590,949,423,309,272,196,078,193,861,373,695,953,193,920,233,
473,794,686,504,960,371,784,805,588,808,135,136,798,878,998,989,986,472,191,
934,130,428,741,818,577,180,881,881,495,402,874,152,618,198,344,267,101,826,
000,038,200,116,935,385,780,123,138,640,582,584,124,921,430,160,428,450,522,
417,006,685,192,238,747,605,814,891,847,023,692,440,256,162,861,976,886,359,
034,858,229,188,958,065,391,087,927,244,721,172,722,013,370,795,470,831,837,
675,727,092,283,587,208,391,459,159,721,500,785,606,474,660,074,605,493,406,
671,452,705,873,413,028,808,600,558,416,200,494,862,659,983,710,507,363,196,
036,297,439,994,101,090,593,492,971,605,067,655,384,688,569,618,067,794,499,
933,286,396,263,860,724,343,183,667,932,209,080,467,783,850,305,258,814,643,
407,431,882,771,895,039,609,072,514,432,106,286,047,884,465,433,293,638,663,
309,395,932,538,577,030,077,509,046,958,701,228,800,756,001,034,550,424,813,
831,670,618,999,586,893,068,728,797,153,584,843,960,482,376,832,325,347,916,
383,792,269,440,670,305,038,050,008,558,764,137,393,178,561,355,563,469,008,
253,667,477,426,900,331,689,400,667,619,719,448,874,080,992,541,066,704,633,
981,496,584,424,264,760,488,086,993,006,501,799,592,369,186,680,573,568,348,
636,809,996,334,477,075,438,065,223,114,103,604,616,340,268,804,854,905,761,
870,958,976,612,052,053,007,316,357,142,919,713,768,653,256,023,217,728,428,
632,964,923,537,532,507,926,012,227,401,702,854,179,937,491,532,040,085,081,
243,792,389,766,111,773,097,764,660,842,430,936,914,225,858,438,257,443,334,
007,105,003,700,894,354,156,731,483,878,817,867,648,134,578,811,724,248,737,
281,815,697,355,051,061,204,533,305,810,353,144,595,876,346,325,350,640,890,
844,668,518,322,918,335,619,789,879,714,650,958,894,707,660,080,297,037,337,
404,366,068,177,616,681,893,483,035,046,154,347,215,853,418,422,556,148,735,
062,149,555,260,762,696,469,297,558,150,304,808,262,274,192,649,234,276,099,
710,485,600,130,995,348,320,009,516,672,497,698,744,319,848,546,031,854,882,
396,911,777,998,990,242,002,038,751,762,513,912,244,679,518,342,366,578,831,
862,882,356,403,406,425,747,710,695,505,754,804,395,045,429,448,295,603,791,
092,935,675,820,933,949,450,407,188,520,994,245,478,292,250,916,541,697,829,
035,645,209,913,912,211,468,511,666,143,673,516,390,660,627,086,304,097,547,
733,441,789,623,756,906,973,629,962,757,118,311,333,654,101,671,036,928,106,
533,809,149,411,640,099,824,556,549,887,450,216,818,797,371,594,187,318,401,
106,915,912,785,700,498,512,275,524,728,279,581,594,714,655,884,947,860,514,
273,141,290,196,198,736,004,008,926,978,989,853,823,090,044,941,446,396,599,
327,731,340,018,560,534,525,259,667,499,481,500,662,064,765,573,761,686,585,
509,595,957,108,460,670,751,006,259,141,300,720,708,260,296,200,851,287,575,
030,128,859,848,488,345,246,256,843,478,603,641,579,952,782,638,715,453,630,
145,536,815,997,938,187,633,192,245,282,252,742,608,394,891,233,203,438,575,
556,440,938,011,701,065,760,321,173,352,663,324,719,396,244,419,984,373,049,
894,080,599,364,187,441,611,233,858,029,333,377,236,137,128,775,239,147,204,
086,403,615,888,540,516,788,221,902,193,275,779,640,755,044,942,757,704,333,
039,057,802,832,480,290,753,696,503,812,614,907,780,120,949,744,975,610,398,
044,649,403,310,413,078,820,992,805,946,202,981,130,338,437,234,762,016,833,
538,452,385,115,068,239,466,135,710,283,971,033,337,019,954,368,433,911,721,
198,744,425,208,745,821,415,526,833,328,420,124,260,259,525,314,772,850,806,
603,382,934,484,136,478,861,792,395,382,979,997,821,205,328,193,864,764,610,
981,876,694,747,299,746,111,782,650,897,223,697,234,645,321,731,970,849,002,
631,541,473,461,028,591,218,285,916,025,548,551,587,460,120,011,542,813,524,
304,054,369,558,893,895,987,563,489,498,593,561,056,684,522,711,468,140,150,
896,446,602,842,169,376,212,196,453,347,372,253,922,972,923,471,881,862,514,
189,709,413,235,020,650,566,220,770,472,886,346,257,674,408,797,959,041,022,
000,428,530,690,372,208,046,218,749,113,386,773,032,389,967,430,705,203,719,
908,786,652,267,351,007,257,472,109,276,856,863,346,315,269,440,472,446,087,
318,994,157,724,421,370,421,607,485,809,099,169,652,005,264,854,319,670,693,
438,312,487,919,743,483,862,120,605,372,980,860,202,685,297,043,320,221,311,
821,333,951,344,654,408,073,051,149,050,459,126,997,405,912,009,707,347,443,
502,191,676,442,655,393,928,047,194,592,066,852,199,318,307,703,471,377,739,
079,771,712,383,261,639,148,439,565,437,306,640,728,265,387,665,528,934,444,
915,244,400,536,276,002,517,879,924,062,406,903,390,609,622,134,892,767,366,
405,318,740,099,508,106,713,789,301,347,638,013,915,144,255,316,101,698,330,
444,596,333,409,702,833,461,503,011,835,586,989,725,109,948,933,307,653,429,
616,186,470,561,551,566,642,725,058,248,718,546,325,470,511,366,039,981,660,
890,957,589,014,544,066,187,005,191,437,737,070,256,699,881,961,203,230,660,
433,859,059,140,542,737,891,298,073,647,022,358,884,268,674,272,295,659,340,
351,213,500,003,650,441,385,239,046,847,992,146,053,995,386,307,829,906,384,
714,823,695,053,887,208,358,114,731,307,139,006,131,160,175,267,957,605,594,
648,028,052,521,010,250,236,104,510,399,925,571,187,927,259,660,935,244,494,
464,068,560,306,309,717,714,904,134,427,694,044,006,622,328,655,612,069,116,
270,166,468,196,750,824,455,235,762,014,907,658,507,825,199,726,514,906,452,
137,075,913,990,078,606,073,746,297,290,093,857,049,888,833,600,485,376,304,
530,143,763,730,993,358,210,904,223,748,446,405,937,255,364,111,186,378,031,
465,280,003,541,326,385,793,238,311,653,516,769,574,239,254,013,999,134,013,
204,578,052,447,260,284,693,704,995,401,484,721,807,161,463,309,127,891,158,
065,094,530,194,760,170,337,387,772,134,088,778,544,882,276,460,074,698,905,
761,727,790,381,252,183,163,252,788,538,410,076,321,832,194,041,798,567,440,
894,414,300,935,131,910,634,292,370,267,242,912,172,176,953,684,509,729,852,
329,508,060,805,881,234,753,116,274,044,825,533,869,403,889,602,024,229,132,
264,549,011,969,197,590,512,817,116,030,001,282,052,175,480,729,186,652,857,
193,215,449,118,195,674,208,991,648,850,354,193,269,196,429,887,695,446,752,
965,618,265,567,201,854,776,429,275,179,277,938,177,316,241,589,546,055,583,
837,181,111,987,655,360,960,281,042,029,400,505,588,652,817,474,154,687,256,
462,724,765,077,725,675,966,109,472,405,438,372,680,039,708,786,787,157,916,
535,886,526,526,433,194,980,052,719,530,081,565,119,012,883,375,180,057,251,
927,008,950,073,160,179,409,430,938,868,812,044,561,725,810,385,082,661,845,
564,174,128,879,971,797,206,905,961,439,116,352,753,048,410,873,443,302,569,
096,889,803,757,765,581,096,691,738,985,476,218,047,045,753,321,649,807,793,
237,535,323,797,909,683,968,344,399,018,406,129,014,749,380,349,345,686,318,
837,628,451,833,507,761,542,178,355,651,206,023,107,001,563,899,200,360,600,
562,192,177,867,680,816,334,799,694,792,031,357,062,826,803,798,011,227,842,
231,084,426,200,447,600,276,988,726,005,980,575,190,401,661,669,981,173,665,
868,346,120,124,811,308,985,231,264,170,205,122,150,167,198,221,236,343,943,
144,380,946,747,727,928,834,542,606,876,662,517,420,030,271,555,153,878,261,
841,859,796,754,886,426,295,571,869,232,159,771,758,589,228,696,131,008,048,
230,732,469,229,282,076,603,001,989,290,448,668,598,528,286,342,680,198,212,
603,359,462,109,552,167,851,062,756,880,934,517,671,236,731,919,961,482,835,
888,274,288,949,638,550,391,327,407,628,819,981,843,673,656,683,121,178,923,
406,494,077,731,780,297,271,840,049,646,873,888,040,002,199,973,502,120,548,
557,347,952,143,349,306,354,074,725,551,764,304,580,932,407,478,638,843,339,
926,008,161,340,211,594,876,091,541,994,947,833,818,262,583,094,429,214,584,
314,400,720,030,316,130,074,303,457,385,688,234,882,216,427,543,401,468,107,
077,786,513,036,959,935,047,636,909,725,991,022,663,072,168,253,832,436,525,
920,865,025,757,255,238,348,236,940,813,605,188,352,013,173,451,195,072,367,
080,400,839,776,621,203,000,462,359,014,957,398,454,674,495,665,266,993,832,
237,468,108,127,370,654,341,659,962,343,359,655,289,425,452,136,256,125,465,
119,639,498,835,340,395,184,045,689,570,514,232,117,631,019,381,718,182,825,
658,430,982,774,445,856,543,628,960,541,127,410,405,437,318,585,785,460,829,
814,656,427,751,553,893,239,983,998,924,023,165,786,127,465,107,497,479,627,
421,682,884,830,878,182,047,846,656,830,278,378,378,493,354,886,890,955,607,
454,371,207,676,516,263,739,849,749,118,381,477,297,201,489,040,263,337,198,
206,336,815,568,656,333,755,346,329,987,981,179,197,289,148,745,395,972,988,
006,135,767,028,658,767,922,417,739,393,787,953,495,267,990,144,851,313,967,
790,387,587,296,399,391,185,019,511,196,729,108,238,596,495,198,959,603,453,
801,183,645,650,796,212,812,192,008,946,088,494,885,979,698,718,319,030,568,
845,530,304,836,810,740,727,926,547,019,133,418,344,912,393,581,462,927,927,
180,261,362,307,248,575,250,899,453,854,968,139,169,243,296,249,324,440,033,
067,327,530,642,202,456,309,214,721,915,945,405,515,760,528,810,811,520,657,
293,507,478,880,539,362,173,927,051,279,021,580,713,941,391,703,603,662,061,
569,235,138,827,764,084,917,444,878,173,266,632,880,228,164,179,019,782,403,
935,124,901,081,085,156,558,764,305,330,550,245,326,212,099,557,909,745,007,
576,366,569,391,899,267,188,704,632,977,025,537,291,516,260,528,327,012,108,
403,836,392,244,251,590,821,232,766,409,959,100,407,230,257,494,175,037,529,
957,173,664,115,342,032,749,570,747,785,192,757,590,407,457,696,327,426,656,
496,074,341,315,836,808,330,347,813,077,978,842,362,430,427,803,254,257,720,
868,028,813,821,576,785,869,537,568,029,918,213,056,758,298,336,141,210,723,
336,658,406,145,066,486,559,796,610,912,364,460,358,285,312,905,154,225,987,
652,960,221,996,787,147,839,181,388,810,800,039,256,278,252,499,680,640,517,
226,536,868,880,736,840,053,695,185,450,745,602,298,558,289,053,619,899,860,
457,652,567,912,792,894,207,555,555,462,078,434,547,611,248,606,020,032,293,
248,819,097,803,930,332,585,446,714,567,054,314,869,662,074,758,790,631,287,
742,760,082,996,483,320,339,387,067,455,183,836,074,804,332,168,967,410,210,
168,475,015,679,162,854,841,623,425,829,302,966,736,097,920,142,219,367,090,
250,249,905,871,657,361,831,663,985,200,228,241,697,899,749,537,179,677,235,
100,914,742,587,619,160,668,724,886,964,547,312,626,957,634,414,842,371,452,
710,353,002,522,540,863,637,014,937,336,594,925,591,474,952,558,357,229,363,
142,730,513,073,196,537,070,655,117,830,654,100,927,005,183,890,001,072,148,
920,651,376,418,326,623,530,289,702,154,067,108,449,902,531,242,480,794,493,
923,289,868,417,834,825,513,445,731,727,716,753,715,759,176,385,359,487,321,
718,080,852,930,451,352,556,298,615,393,732,177,586,508,446,080,093,247,481,
922,638,824,729,081,158,660,807,970,772,806,835,809,798,639,686,160,760,218,
219,696,500,936,984,280,625,396,624,013,815,887,772,048,327,759,984,356,876,
931,063,060,820,730,110,703,008,004,478,881,931,166,899,007,722,030,906,416,
174,706,900,725,511,548,686,090,359,953,689,669,930,113,931,557,105,413,093,
500,301,434,602,356,463,932,871,036,201,236,045,658,786,912,075,808,500,937,
269,903,007,116,837,220,987,608,945,215,664,788,692,018,795,104,863,634,309,
989,516,137,292,573,942,910,258,330,189,287,532,044,632,985,250,672,357,058,
035,026,090,705,321,256,951,261,989,123,638,048,270,279,556,355,766,615,553,
943,721,354,733,433,677,327,774,326,094,246,526,002,319,416,809,249,389,911,
013,032,789,348,908,839,256,234,423,758,815,404,474,802,696,918,340,954,625,
609,656,674,419,052,347,553,046,132,081,517,483,021,455,838,566,312,067,550,
648,072,834,011,331,897,243,787,668,264,999,323,439,623,516,884,839,273,866,
958,491,664,542,029,251,675,345,532,789,631,005,583,970,114,816,763,126,552,
123,089,536,869,822,811,538,790,561,368,592,753,399,448,129,964,381,960,395,
068,071,951,132,046,172,003,730,510,060,023,163,583,582,565,397,438,436,975,
662,283,416,735,569,139,080,199,299,732,329,434,390,380,516,470,340,080,505,
350,834,558,126,729,416,615,259,744,910,589,988,594,519,321,991,727,899,270,
063,677,158,535,726,128,118,691,309,228,115,132,722,779,251,035,506,155,033,
002,833,397,980,807,961,675,016,321,555,432,719,811,365,794,757,988,373,512,
573,420,950,069,714,211,159,876,695,906,297,463,372,776,786,540,738,936,448,
700,864,630,102,933,013,502,713,814,136,206,695,454,545,826,270,551,842,334,
136,232,773,813,055,973,380,633,194,815,379,994,119,334,141,395,308,974,737,
869,787,526,137,739,678,678,170,751,854,846,536,142,099,756,114,826,281,440,
167,873,075,184,622,566,364,977,749,322,697,052,667,591,512,724,259,396,928,
121,510,100,473,282,627,374,544,377,698,677,600,676,130,949,668,023,433,184,
379,781,378,712,008,337,300,968,838,402,713,802,457,539,040,513,238,592,952,
873,318,088,675,486,028,250,255,135,822,038,304,758,010,378,601,276,398,289,
583,397,019,522,069,388,084,500,275,024,524,586,403,395,838,796,997,736,968,
328,689,449,902,361,018,496,746,156,654,357,505,531,118,392,000,610,840,690,
732,687,269,964,453,904,662,418,769,022,246,792,642,276,323,189,023,190,746,
657,431,186,264,801,152,146,728,724,046,825,445,205,237,992,966,627,427,054,
001,615,311,349,720,510,621,798,790,583,367,039,278,259,308,882,524,781,038,
044,086,409,864,572,440,851,321,951,235,956,297,427,502,598,222,283,568,788,
981,066,829,529,159,438,942,425,935,876,045,674,446,845,566,298,595,572,013,
768,702,829,671,147,132,685,489,022,694,200,932,457,517,828,365,444,279,997,
360,252,046,544,115,375,464,286,115,128,219,459,898,849,457,668,543,620,564,
727,978,011,499,333,170,105,466,880,104,539,196,618,295,477,582,376,511,896,
817,780,632,056,204,456,462,495,279,157,558,105,061,611,487,022,683,844,817,
015,190,697,724,973,883,922,892,636,412,539,395,653,434,778,880,009,421,888,
489,245,047,761,206,038,343,824,691,032,114,711,714,699,943,112,056,036,915,
148,570,800,789,996,109,720,006,996,898,648,751,249,817,804,601,132,307,788,
696,331,160,082,302,441,817,413,345,033,908,118,199,188,743,567,956,455,448,
865,382,881,320,227,871,779,156,880,718,830,997,461,040,427,237,604,210,256,
159,666,858,489,208,621,203,448,285,007,592,635,729,672,678,822,655,957,880,
989,273,774,905,144,216,245,084,712,219,075,895,003,999,678,512,927,120,831,
701,883,753,176,024,118,045,610,270,123,880,584,754,115,890,164,831,266,628,
362,262,162,100,619,085,941,118,438,182,221,083,966,106,549,509,553,612,179,
416,100,035,170,469,170,059,721,035,845,013,827,360,946,918,841,195,245,284,
104,497,574,423,380,125,750,143,226,306,950,385,745,272,541,663,927,454,827,
640,434,560,668,771,046,813,029,863,243,447,655,009,935,648,957,111,511,747,
416,188,816,091,606,740,612,466,857,319,700,567,141,590,701,625,443,043,500,
955,423,721,916,467,690,140,080,374,862,160,794,659,577,277,710,117,895,151,
958,721,105,218,125,327,041,780,611,022,089,516,085,551,134,711,462,178,936,
668,971,909,294,842,003,625,160,294,279,009,462,279,509,065,703,367,566,578,
321,363,139,873,352,695,964,955,687,470,569,388,439,370,268,402,039,062,225,
704,620,014,765,161,963,332,218,483,104,779,488,561,963,196,853,183,348,205,
962,133,754,974,965,610,953,295,700,680,933,992,586,394,081,577,551,162,541,
888,782,860,937,187,088,449,065,011,458,968,277,677,174,809,273,615,963,543,
089,864,445,584,628,560,165,703,983,704,335,227,584,467,432,176,119,330,557,
112,189,920,574,750,324,636,485,675,687,263,002,020,924,797,261,698,059,543,
901,633,878,823,916,448,591,422,097,351,555,048,816,592,387,717,729,645,557,
225,415,422,370,183,968,316,199,691,765,566,016,045,616,535,356,729,574,443,
126,282,515,966,210,840,676,339,317,786,907,845,446,296,203,098,617,236,094,
280,258,396,658,143,701,961,112,259,004,174,497,449,715,134,583,474,773,053,
802,200,622,576,721,900,642,119,902,768,637,160,174,329,979,598,674,256,312,
752,718,298,032,372,419,718,498,683,740,403,636,243,294,636,360,880,044,000,
714,499,329,214,486,975,774,831,380,837,545,842,670,446,503,231,102,091,285,
277,714,634,532,066,129,303,934,251,196,938,045,934,877,186,626,622,750,535,
982,108,965,289,239,817,776,441,314,378,471,031,980,976,617,291,041,528,406,
954,415,770,477,638,817,520,234,470,999,543,274,551,543,367,479,409,682,248,
350,748,189,305,403,871,890,098,814,813,582,660,360,411,035,001,647,769,616,
910,601,674,412,569,180,744,765,235,949,487,751,350,208,539,129,007,663,674,
009,814,585,083,339,356,876,634,903,886,129,042,378,157,147,348,000,618,313,
868,121,859,639,620,875,617,437,946,937,153,515,880,474,384,825,960,409,458,
039,782,048,141,637,471,149,639,049,958,495,033,431,827,539,074,244,835,442,
706,076,540,509,347,576,410,324,079,694,171,809,831,420,804,500,507,961,070,
696,708,163,665,464,740,780,799,945,098,916,369,852,973,050,103,863,859,126,
412,311,136,938,968,453,026,824,345,515,562,951,466,431,461,786,688,057,441,
532,823,907,934,397,649,734,134,621,078,718,467,131,517,521,312,915,695,545,
329,973,263,864,338,826,307,035,951,140,296,800,985,572,240,120,666,407,559,
942,257,109,553,133,792,251,112,418,866,108,299,252,452,831,648,171,455,485,
793,334,894,460,630,847,011,060,561,496,787,656,252,469,020,620,947,247,831,
879,644,053,397,791,461,820,328,713,305,308,488,105,751,335,946,391,544,934,
584,346,968,499,622,635,721,316,914,697,277,167,589,610,753,903,101,953,295,
258,616,239,118,919,885,794,641,140,237,935,884,515,949,645,546,741,270,429,
040,781,980,822,845,108,979,727,091,565,265,448,884,228,759,406,636,277,505,
877,935,216,469,866,937,395,230,157,825,302,409,634,517,516,007,864,191,957,
087,790,466,790,076,353,910,042,803,498,531,331,759,057,165,020,951,119,786,
757,487,716,842,431,303,092,615,740,075,702,116,627,315,642,201,675,968,800,
308,579,313,128,632,268,471,271,716,234,977,987,499,079,294,406,090,725,108,
410,648,558,215,926,619,386,810,875,035,434,446,835,303,397,523,163,453,385,
826,308,918,373,455,515,504,931,677,407,668,087,455,688,768,685,035,062,046,
583,755,525,796,328,381,792,626,124,839,775,867,572,413,377,553,987,705,633,
793,536,191,856,763,608,416,675,744,281,003,156,834,996,591,281,537,090,943,
667,946,910,002,729,118,140,229,560,530,582,333,385,063,030,198,787,255,874,
387,986,661,462,886,653,526,539,887,880,224,857,318,507,941,021,002,997,800,
581,020,192,194,665,886,406,734,953,629,172,740,567,330,675,803,987,678,679,
884,386,521,681,857,815,012,842,312,243,664,546,492,962,540,289,816,228,371,
972,801,446,722,749,517,281,793,563,066,063,855,548,710,291,968,482,484,063,
514,069,454,599,099,730,513,130,770,467,828,324,153,194,284,006,296,177,970,
059,571,244,735,394,784,648,805,457,798,615,165,988,217,234,738,362,133,739,
586,441,254,566,828,312,003,377,873,702,211,530,778,402,462,478,863,906,557,
772,070,799,907,076,611,209,125,858,136,330,032,099,517,955,386,225,692,602,
561,131,027,105,756,584,546,825,668,085,006,578,205,898,603,503,836,277,176,
421,245,951,197,925,242,244,656,181,765,260,043,515,971,370,189,524,109,115,
812,035,872,927,268,863,270,988,372,886,518,967,218,879,348,319,302,820,049,
352,596,758,788,923,324,566,230,370,270,353,196,250,084,333,666,765,904,580,
357,449,206,607,650,098,742,530,825,401,850,546,451,066,219,339,010,660,561,
075,034,630,387,341,355,831,788,612,330,989,613,226,973,943,676,161,697,117,
546,991,676,766,109,701,354,302,438,141,632,737,874,181,605,330,349,842,300,
503,909,503,912,936,848,954,167,817,882,846,792,327,772,890,017,818,009,732,
655,065,461,156,934,235,625,374,073,309,594,603,800,471,861,861,319,949,689,
997,073,021,015,663,110,131,078,957,267,639,798,993,328,641,815,455,201,899,
091,459,416,535,303,667,274,706,117,358,473,062,043,799,444,585,904,408,615,
743,098,543,593,356,821,067,891,076,647,838,471,913,539,567,282,934,632,428,
372,092,051,788,595,273,160,911,969,167,695,284,225,489,708,484,268,164,362,
140,457,874,668,555,762,790,215,969,175,354,484,638,025,678,452,710,533,653,
612,165,967,683,363,670,592,972,757,143,156,406,878,387,584,803,295,578,417,
330,050,702,328,688,011,672,325,585,652,140,508,935,952,705,871,137,624,644,
848,525,689,579,824,801,294,987,626,476,416,453,832,964,017,953,271,568,156,
097,563,210,925,843,094,269,275,902,027,451,938,455,599,290,909,891,373,859,
465,186,190,750,005,103,287,869,788,771,560,208,790,375,961,378,005,717,145,
465,554,746,479,386,418,232,693,096,923,718,942,048,333,140,855,326,426,911,
514,370,949,382,427,858,002,827,672,798,359,114,265,196,736,721,783,980,036,
877,046,700,244,899,982,933,027,881,655,161,622,018,078,919,730,307,328,044,
639,923,635,205,226,983,601,006,356,763,586,630,933,732,095,594,491,544,164,
274,587,842,522,755,182,364,528,857,438,040,711,025,667,280,247,440,521,940,
728,828,352,688,726,293,302,073,575,305,627,298,054,313,961,867,708,425,855,
667,711,272,475,520,665,722,569,978,033,772,056,955,589,512,220,586,273,194,
733,225,414,862,206,225,094,659,111,463,735,848,415,315,713,665,160,283,131,
072,063,526,171,688,859,230,735,408,890,854,616,111,972,419,612,717,740,713,
301,577,337,115,988,538,701,985,462,212,693,436,643,812,077,635,596,838,698,
683,761,730,294,445,097,006,411,575,286,842,616,437,215,708,143,174,810,375,
303,055,066,051,413,131,688,660,702,624,119,786,029,008,813,073,041,362,484,
277,707,288,062,683,639,275,194,282,615,209,058,689,737,246,598,786,524,083,
153,701,380,919,435,497,808,641,949,399,856,552,007,578,706,421,317,573,246,
883,966,284,114,683,462,249,549,305,871,762,724,238,977,230,973,367,820,437,
184,036,176,309,569,926,177,895,404,379,252,158,793,466,839,249,637,584,211,
314,627,731,721,217,821,213,210,477,308,305,320,302,345,121,235,868,445,657,
465,688,523,828,571,319,094,830,572,627,357,748,290,162,147,756,272,492,822,
536,012,294,415,949,713,404,495,769,890,369,869,662,645,264,917,687,657,609,
187,358,348,015,631,739,396,769,741,600,497,491,651,067,592,283,705,421,263,
703,393,923,646,705,601,845,844,820,400,813,933,648,776,930,453,665,982,446,
050,815,961,978,060,117,502,525,345,126,463,290,890,313,490,915,354,363,455,
381,778,514,985,452,970,344,840,028,597,486,022,776,590,301,605,921,597,168,
291,782,469,301,250,851,927,163,747,975,671,176,778,840,834,624,766,198,680,
012,549,954,228,202,739,925,090,069,675,473,963,144,318,206,003,396,981,715,
149,102,239,461,928,262,382,265,236,600,080,010,745,873,944,107,498,523,615,
607,706,442,079,682,517,304,654,447,469,112,691,039,555,482,553,696,009,881,
989,232,563,540,876,086,769,683,256,475,727,302,026,862,603,219,666,776,373,
427,930,655,361,195,975,263,886,092,843,107,318,005,689,719,155,632,801,781,
588,110,801,512,007,732,077,028,860,403,907,229,496,507,478,016,633,899,190,
777,853,582,710,615,019,501,184,532,347,685,879,990,571,085,345,919,301,336,
537,146,240,306,243,851,543,386,789,742,517,769,559,176,801,208,977,013,992,
165,668,798,312,175,301,787,009,669,591,932,762,761,373,167,848,108,322,513,
239,480,507,123,241,292,577,869,013,193,115,045,417,434,549,368,242,314,877,
126,297,982,280,331,271,193,071,073,783,402,188,570,107,020,817,459,208,385,
110,578,380,131,227,669,125,243,940,467,310,830,279,845,534,854,550,478,276,
177,966,805,027,796,258,585,620,539,481,574,259,307,499,021,937,034,620,991,
788,664,286,416,957,304,814,116,010,311,649,681,343,556,536,547,768,951,637,
680,554,766,007,948,328,462,714,365,381,998,287,162,924,988,034,102,102,854,
000,121,403,157,813,921,446,759,106,604,609,314,893,626,918,612,198,715,944,
382,314,296,956,834,479,655,491,645,521,694,053,344,584,760,591,448,161,436,
310,346,244,261,656,580,256,224,385,239,216,290,594,695,363,242,187,098,641,
759,041,506,641,354,365,420,149,401,934,954,650,306,876,678,103,231,621,022,
883,322,922,010,892,357,574,392,211,330,294,355,731,179,323,603,697,537,658,
540,790,803,679,640,470,856,391,565,770,475,795,558,642,454,076,499,166,007,
928,999,654,953,625,943,938,764,956,743,800,269,573,699,018,902,542,670,439,
540,507,411,232,595,063,768,153,202,684,917,752,073,617,223,832,966,411,689,
354,907,982,694,895,028,678,680,399,929,866,103,098,005,495,981,442,704,904,
234,579,573,074,220,230,158,923,603,992,474,177,347,717,964,656,913,042,625,
566,369,728,624,809,576,376,430,699,679,820,345,291,409,528,753,620,575,708,
938,897,238,012,423,227,398,538,661,895,677,234,079,458,523,065,346,160,994,
799,623,500,142,206,659,515,968,566,096,148,231,079,082,306,958,410,809,622,
630,634,549,018,378,909,597,016,283,633,131,899,668,833,611,634,995,622,626,
634,864,328,966,530,203,241,388,450,224,098,415,982,083,868,619,413,873,522,
664,063,571,715,345,590,243,310,256,476,248,731,556,037,040,888,913,485,253,
488,677,910,421,057,682,984,715,004,718,626,112,974,369,829,436,160,573,173,
694,437,026,580,961,831,707,052,018,802,643,055,225,675,490,566,544,683,353,
330,830,848,511,000,391,698,191,188,568,358,525,568,479,251,746,097,761,789,
904,568,900,054,852,468,083,752,886,191,149,481,045,107,077,400,621,919,964,
996,927,255,043,601,083,322,500,114,030,971,308,972,031,207,940,029,793,748,
570,591,720,566,320,050,746,935,370,151,950,795,177,854,948,075,312,993,106,
703,959,657,153,410,575,530,130,050,383,942,403,761,670,178,196,397,952,685,
722,079,998,451,744,684,066,729,378,879,573,888,580,175,510,703,285,838,380,
115,309,068,795,615,699,353,318,416,146,005,637,604,824,000,825,179,769,189,
513,717,565,600,676,364,390,585,384,146,985,809,094,944,983,967,616,445,736,
820,340,980,264,341,519,247,601,551,189,780,102,387,467,494,531,498,890,772,
119,515,423,650,355,347,860,434,971,880,596,990,430,991,671,974,145,896,707,
290,905,723,782,956,190,703,776,143,975,259,513,305,884,076,052,501,017,489,
940,448,237,316,687,310,406,740,184,502,280,811,813,009,096,239,494,361,343,
623,335,720,041,301,084,985,544,637,271,785,728,562,059,337,456,084,944,261,
539,465,179,607,983,513,234,805,763,270,626,970,813,673,831,313,032,519,565,
291,334,954,349,159,112,881,173,218,916,176,202,859,211,697,042,029,331,150,
010,403,458,860,764,126,314,079,264,988,328,283,214,620,028,237,864,255,185,
274,125,770,801,081,547,927,319,578,287,067,521,735,534,225,013,532,002,253,
083,733,955,813,195,653,725,707,441,813,877,393,364,652,921,595,320,310,569,
564,047,669,564,662,342,333,555,117,457,520,366,281,962,943,956,869,199,726,
618,463,352,046,392,070,343,781,660,717,926,137,405,132,663,529,997,719,257,
173,008,016,474,925,593,556,220,246,870,623,373,497,843,033,525,078,359,428,
245,716,487,458,979,201,527,494,761,440,673,350,833,066,287,307,330,825,049,
431,742,753,133,378,118,011,901,830,138,426,471,164,378,377,327,897,652,186,
220,453,099,784,314,186,364,552,776,387,484,851,605,447,624,643,940,951,361,
917,382,543,673,163,471,415,980,945,463,367,304,239,306,153,328,786,566,550,
172,105,029,284,050,097,108,306,087,142,926,576,183,787,804,120,494,018,536,
441,651,794,557,917,531,697,404,597,568,358,074,750,911,758,703,771,148,076,
155,768,424,318,830,048,462,182,759,145,725,440,010,208,570,524,928,607,789,
743,336,517,086,609,455,391,536,995,974,982,706,854,712,550,895,703,383,031,
416,322,396,690,211,930,176,213,763,163,574,924,887,089,042,921,265,963,944,
017,583,230,679,974,096,938,182,741,063,450,294,880,455,659,285,254,217,266,
881,098,772,439,236,842,207,116,109,421,884,813,098,143,780,654,500,696,834,
433,318,512,111,254,365,545,654,877,525,595,534,312,743,791,672,764,414,516,
068,660,918,345,786,443,238,438,213,915,826,139,240,549,074,856,143,191,474,
907,901,544,917,583,921,695,119,763,408,589,378,200,810,381,224,224,283,496,
702,732,666,098,719,264,252,551,776,412,980,509,367,217,488,231,092,860,029,
365,776,501,012,198,106,772,562,993,435,080,015,828,956,727,096,768,024,353,
336,727,756,713,797,457,754,879,036,874,894,565,431,791,305,274,431,524,653,
308,125,404,598,910,386,739,454,889,797,679,266,761,203,271,829,435,491,057,
443,558,889,529,725,093,151,817,607,408,943,221,022,011,665,771,100,699,846,
953,242,890,672,620,389,792,550,356,498,971,970,620,565,932,418,182,601,546,
572,458,578,058,132,301,588,984,571,391,752,414,172,359,557,798,068,499,286,
316,144,843,404,520,524,072,122,556,673,791,586,579,833,252,321,486,102,892,
782,675,221,129,020,633,198,677,957,640,129,462,565,268,730,185,465,307,437,
803,466,354,899,546,775,036,265,902,962,834,866,695,802,865,679,150,116,658,
860,844,621,757,054,281,776,616,011,533,446,866,457,119,152,558,285,142,515,
989,532,824,920,256,098,736,756,641,139,140,020,639,170,035,326,968,269,644,
340,992,929,498,207,685,111,168,311,018,462,410,567,770,465,166,936,462,844,
795,546,199,947,323,909,779,487,054,848,103,317,251,918,449,786,325,391,107,
827,723,058,185,912,497,526,409,206,592,518,369,423,685,393,705,595,494,990,
781,812,414,082,219,445,906,105,854,315,719,942,477,878,626,805,136,157,880,
680,909,409,260,318,850,335,586,035,100,514,711,294,317,405,231,702,428,658,
735,283,107,458,667,991,882,957,372,857,287,371,757,562,139,856,273,729,703,
427,263,048,256,598,812,302,899,583,810,622,924,931,003,668,005,889,275,846,
302,635,627,858,063,769,722,585,739,219,763,484,073,917,831,673,198,317,223,
520,389,545,188,827,470,349,811,310,183,227,996,112,561,979,137,156,573,731,
186,499,621,708,565,522,303,230,968,401,296,626,062,607,906,565,772,028,677,
417,241,256,683,246,124,264,033,815,720,245,622,235,989,967,426,363,457,230,
042,518,568,291,389,631,372,069,111,739,258,258,240,277,324,776,817,229,705,
728,566,784,717,844,738,872,289,930,138,862,785,464,371,539,307,305,781,305,
091,738,375,900,634,398,782,200,824,786,253,667,150,350,384,507,756,639,662,
012,745,831,102,576,482,948,477,539,127,267,842,417,624,295,458,373,525,642,
299,170,979,634,699,879,097,197,093,820,168,120,677,324,054,600,092,313,082,
890,201,709,467,206,159,093,229,812,997,701,740,803,573,870,313,639,157,342,
183,752,490,574,689,630,701,826,276,890,059,397,817,389,621,780,173,539,148,
099,587,662,743,427,807,080,494,916,207,352,848,962,897,393,169,728,967,780,
544,650,030,370,187,457,282,321,982,881,709,766,215,991,347,009,601,142,948,
346,980,017,349,816,383,315,047,025,781,674,954,665,103,469,943,217,120,973,
730,004,303,635,074,435,424,567,925,712,715,223,302,854,330,124,584,707,736,
687,797,695,403,984,080,203,001,911,948,588,497,606,080,692,516,264,169,800,
758,457,256,596,957,880,223,683,779,753,513,246,995,390,966,964,752,954,270,
906,739,201,022,574,756,742,798,033,479,809,767,654,966,285,063,330,427,475,
419,808,183,450,114,555,348,720,782,302,496,860,856,779,864,058,308,086,873,
809,245,033,925,869,925,199,050,739,823,004,044,761,176,810,055,985,391,049,
912,228,564,401,948,644,636,489,631,907,532,325,354,761,378,067,617,865,776,
437,239,779,971,302,752,950,781,520,232,838,742,833,308,254,645,504,495,351,
241,731,280,988,047,029,593,784,455,162,707,186,585,547,557,494,382,827,320,
771,218,926,821,124,939,369,412,750,607,310,003,179,057,280,670,621,912,601,
955,316,524,403,783,091,076,896,018,601,949,949,814,740,032,819,945,987,212,
343,553,987,064,484,033,224,162,510,657,560,035,352,661,036,722,177,264,342,
051,088,685,289,638,209,908,830,072,741,311,238,688,680,134,047,356,885,685,
171,365,352,627,426,438,728,537,750,322,644,779,867,749,874,558,483,186,171,
067,353,276,194,614,390,079,714,556,719,458,096,785,144,940,094,030,765,041,
844,630,094,525,676,668,483,559,731,167,892,601,014,427,583,189,079,579,656,
345,420,520,052,276,593,383,059,329,823,444,176,204,031,225,466,696,155,875,
542,605,834,911,982,044,863,537,447,921,143,939,998,906,213,055,785,102,395,
628,629,727,500,365,737,081,881,397,461,490,301,238,081,778,714,339,141,515,
587,155,794,870,910,033,330,260,805,424,406,217,073,721,911,982,673,587,336,
534,271,231,674,011,157,787,960,103,636,187,270,250,723,173,963,686,495,967,
680,164,233,896,549,255,025,465,453,808,581,638,426,048,734,220,696,086,707,
130,191,798,189,939,853,864,093,470,080,348,438,820,773,858,825,561,736,529,
824,067,816,005,814,723,596,903,191,484,309,390,976,263,868,602,502,802,028,
666,611,769,792,716,604,758,506,454,025,763,186,883,073,568,610,566,026,841,
620,742,366,988,868,055,430,165,733,094,280,270,317,951,711,470,052,321,081,
144,877,023,251,398,273,607,356,307,103,835,757,117,159,395,874,817,537,849,
867,122,556,760,272,479,112,633,948,649,951,656,185,469,794,762,243,774,680,
805,952,640,220,455,311,042,996,990,904,803,549,735,267,344,775,545,489,214,
938,585,120,120,386,214,538,772,439,175,262,460,269,562,527,640,907,846,360,
440,377,029,975,651,442,867,419,652,869,325,230,862,864,100,278,690,987,796,
393,431,778,011,510,195,461,450,545,261,069,353,452,058,134,916,980,583,522,
980,331,206,551,442,753,103,590,367,586,226,017,604,118,986,075,691,056,160,
239,081,053,989,942,843,147,069,002,076,405,632,007,065,179,280,135,742,639,
847,580,350,463,258,775,614,288,849,608,411,067,248,143,274,677,280,810,385,
107,894,436,460,930,331,330,449,770,816,853,863,057,101,321,350,500,540,269,
859,664,776,631,752,753,968,309,402,443,314,790,234,617,964,245,053,443,258,
908,658,962,309,546,534,929,770,918,243,498,319,091,043,454,935,159,704,407,
124,638,912,576,100,243,564,239,319,901,387,443,764,548,902,486,939,514,620,
499,951,320,545,741,944,817,539,379,400,971,319,281,015,394,295,982,232,978,
995,073,112,516,766,331,407,872,464,644,799,144,131,973,079,296,045,688,497,
157,521,971,785,217,699,861,461,071,834,024,563,244,562,807,800,128,026,606,
814,937,977,025,346,450,622,996,505,592,768,553,335,948,525,369,328,894,723,
915,210,051,317,154,717,704,057,106,843,096,682,518,001,152,626,373,352,516,
935,266,446,459,458,078,194,673,520,812,840,437,107,031,830,692,690,327,448,
946,790,860,758,765,694,639,149,279,421,624,282,921,387,434,966,565,438,494,
289,388,860,993,038,293,418,822,587,250,562,288,026,862,834,083,050,815,156,
175,468,460,301,885,803,838,175,699,908,112,064,115,360,905,501,287,538,633,
301,114,152,942,101,826,551,468,224,165,941,002,203,050,754,772,820,960,362,
462,244,050,476,239,107,907,297,855,361,802,342,323,409,320,816,403,795,000,
169,864,963,050,067,333,085,775,129,728,318,620,764,265,839,225,345,450,322,
950,231,559,692,932,229,792,657,877,015,117,953,378,422,587,110,976,896,821,
991,473,070,338,071,977,698,962,198,655,471,184,900,937,437,439,321,646,663,
628,290,599,222,840,265,247,368,972,606,521,207,923,316,508,783,066,280,478,
805,119,563,237,966,148,270,018,460,722,847,042,189,421,322,997,208,144,472,
498,249,241,055,147,799,050,078,418,070,013,692,710,910,524,452,222,990,684,
966,522,648,508,790,466,482,732,472,969,987,741,593,664,674,032,203,259,246,
964,355,574,690,380,237,139,179,740,907,430,398,225,669,034,026,549,393,367,
785,857,828,714,394,571,195,371,571,313,468,905,938,022,203,028,693,400,850,
564,881,017,657,305,502,524,284,970,790,865,493,776,685,940,531,951,366,339,
237,807,045,328,636,539,094,973,673,573,192,030,880,872,805,762,098,445,722,
059,328,646,615,834,760,965,833,039,048,729,400,281,656,342,283,990,817,138,
050,667,221,378,781,493,577,890,897,191,459,384,583,792,844,298,250,200,379,
482,578,337,779,248,845,706,109,612,541,276,718,262,449,850,029,877,509,841,
656,667,935,826,142,289,114,202,812,561,784,008,700,893,710,531,837,850,261,
116,329,111,320,275,894,348,217,925,457,732,109,982,082,370,725,539,011,335,
771,361,711,793,145,265,363,241,366,678,615,679,575,442,152,137,533,927,899,
721,378,178,485,192,163,713,443,942,413,217,618,757,797,553,454,428,538,261,
603,698,593,626,452,597,718,057,096,239,028,197,255,603,094,301,852,542,924,
373,186,872,304,110,008,010,496,393,976,233,128,343,698,835,301,012,740,266,
600,972,159,262,753,750,450,165,983,940,210,971,442,629,248,979,815,761,299,
932,187,257,182,384,469,269,120,828,159,756,782,339,916,463,339,111,474,941,
178,271,174,474,173,244,929,727,206,299,402,321,691,945,456,153,510,257,495,
764,739,338,088,216,725,404,984,292,207,880,927,798,884,828,074,515,295,373,
229,638,335,349,889,875,360,852,233,191,859,185,400,380,914,763,762,264,487,
422,386,485,104,630,561,808,303,687,592,057,651,024,516,554,056,162,461,559,
502,997,104,464,401,982,813,023,985,058,499,703,124,933,785,773,526,356,687,
163,710,926,912,918,754,786,250,332,635,612,001,817,428,261,375,765,065,811,
969,052,246,460,974,340,801,917,081,247,729,471,091,846,355,567,763,871,859,
517,996,963,374,128,117,645,091,928,276,804,945,390,283,796,337,073,446,657,
187,148,743,423,654,273,532,785,300,813,396,881,714,172,854,318,991,700,889,
517,202,975,359,730,765,313,473,542,438,368,201,029,772,771,100,424,080,026,
419,554,509,804,500,196,535,439,218,406,027,581,434,057,566,097,914,431,048,
781,583,944,031,016,300,750,168,362,793,112,917,541,148,851,285,693,644,868,
868,373,801,505,864,504,763,228,854,093,991,182,071,939,756,592,828,291,321,
995,895,927,508,845,470,974,099,110,324,693,845,296,526,874,282,289,617,684,
982,629,706,677,029,027,316,118,439,433,190,500,435,845,704,027,483,610,438,
088,499,487,601,247,243,256,915,462,469,426,543,821,861,801,298,117,295,484,
812,363,111,768,232,830,808,478,617,853,269,149,521,110,013,426,613,638,424,
058,450,670,902,173,612,271,027,801,420,045,887,587,907,317,148,251,427,744,
160,882,816,584,588,396,648,242,143,495,859,760,185,271,324,184,001,308,750,
769,695,561,761,025,508,727,086,207,082,867,373,066,435,054,080,260,740,705,
652,184,579,668,496,336,348,710,853,146,508,617,741,039,439,730,028,861,693,
671,497,097,300,511,231,458,791,538,115,117,758,047,244,713,797,402,350,758,
536,007,945,086,372,324,874,884,774,185,623,561,599,769,877,823,863,798,735,
217,322,370,349,198,873,463,409,105,196,653,407,396,251,506,260,037,972,297,
050,433,266,004,489,155,484,917,090,437,204,539,291,915,691,780,544,130,343,
175,955,023,837,033,513,288,461,666,765,718,740,869,032,839,371,738,469,008,
969,260,258,371,695,565,657,487,044,888,885,691,798,777,864,570,355,706,092,
552,837,859,725,465,856,876,449,559,810,937,604,563,871,990,686,298,687,630,
028,469,689,544,395,476,124,360,374,612,204,792,272,534,485,288,566,463,818,
516,299,651,643,087,941,941,384,506,723,347,315,714,432,453,246,471,089,559,
853,305,388,927,819,079,149,167,736,316,796,608,369,595,346,284,617,324,929,
726,393,016,800,699,231,255,494,713,760,730,072,618,618,309,602,304,631,451,
872,417,614,742,212,634,098,945,148,639,839,922,757,557,203,349,193,836,817,
456,673,239,887,168,450,626,343,442,620,235,534,762,739,921,374,582,270,492,
237,013,214,026,147,571,495,875,246,561,685,239,889,372,250,859,013,660,483,
326,576,841,418,678,678,651,979,148,866,997,251,253,167,625,103,740,217,943,
231,228,843,418,001,866,379,604,942,066,508,666,744,894,340,636,507,851,150,
035,445,076,490,119,409,642,482,722,559,647,612,973,194,066,259,225,049,448,
885,443,627,544,284,779,389,642,673,108,753,838,218,173,724,912,999,505,933,
604,926,079,130,718,248,835,040,210,267,123,515,513,525,935,248,402,043,158,
139,436,556,694,426,204,132,345,902,533,422,663,439,811,785,271,922,835,620,
164,948,181,452,376,138,298,666,614,800,379,620,091,182,275,671,392,972,948,
004,941,945,453,694,615,708,107,135,754,939,162,902,865,943,153,491,052,772,
753,614,462,975,516,050,306,458,350,820,842,112,444,076,346,840,887,357,785,
806,604,446,348,808,317,731,977,372,887,421,624,819,462,703,724,634,772,300,
287,436,864,441,247,666,264,510,971,022,979,375,709,404,413,770,233,205,262,
942,881,005,220,399,497,394,415,140,595,503,732,142,657,644,658,140,554,076,
321,283,522,539,438,080,972,239,622,071,329,639,433,688,162,565,064,546,432,
192,571,002,679,001,338,031,456,081,552,914,457,466,373,533,777,122,045,764,
514,297,870,942,749,254,285,109,465,746,214,112,968,248,398,909,551,767,742,
975,680,800,935,894,574,791,925,040,778,141,663,243,483,650,245,460,135,230,
120,843,671,731,988,791,011,919,424,104,184,530,835,187,084,717,970,958,942,
092,504,234,245,338,185,554,459,319,750,877,201,652,873,461,154,600,339,637,
392,305,998,210,159,436,977,820,129,483,688,438,302,119,841,224,201,786,313,
547,604,691,138,002,513,089,454,441,286,070,355,122,871,248,178,369,559,924,
054,428,255,742,872,405,728,949,329,995,160,197,076,753,813,571,829,946,892,
719,497,329,236,526,669,486,100,571,718,325,435,739,918,282,795,922,481,925,
076,632,936,013,654,297,915,658,329,415,238,513,768,219,014,838,740,471,099,
530,731,969,614,602,509,093,269,618,989,341,293,848,249,311,711,810,526,256,
128,948,518,242,025,920,078,253,122,068,202,969,942,368,280,338,124,069,582,
939,290,135,680,096,902,795,370,230,665,479,986,604,878,987,282,527,196,982,
795,952,918,344,764,210,702,829,619,014,828,821,700,137,340,261,100,912,216,
202,814,717,404,712,054,133,587,319,694,685,372,006,918,180,887,671,761,092,
131,711,058,937,152,318,073,533,754,532,346,122,366,181,622,057,395,914,657,
922,754,378,377,635,847,497,237,695,614,267,736,044,718,292,329,424,979,234,
991,085,951,111,901,067,876,491,871,342,201,022,192,323,864,258,106,124,930,
089,054,725,245,518,089,932,217,535,504,004,701,281,560,496,503,457,102,824,
036,293,508,214,020,498,664,469,300,020,889,747,081,177,789,248,550,380,599,
332,118,881,071,943,852,083,808,571,322,142,786,595,996,853,751,033,086,866,
177,141,913,586,481,978,742,197,632,573,563,913,605,002,169,798,051,088,822,
322,339,780,554,739,498,031,607,976,327,862,819,716,168,426,529,138,222,124,
539,999,800,330,546,552,905,163,655,187,474,410,770,000,653,174,028,274,194,
192,673,519,931,209,398,303,140,981,916,094,786,382,381,752,160,256,560,110,
944,712,278,714,972,566,565,446,850,107,990,956,841,672,134,677,749,285,265,
483,533,579,161,438,080,622,175,647,035,817,239,714,108,227,596,393,106,253,
650,479,593,927,527,472,075,386,604,565,721,518,641,046,654,117,191,958,337,
565,506,649,230,561,221,957,183,845,808,288,841,703,722,239,261,196,381,868,
808,622,986,336,702,232,500,901,021,286,731,055,826,937,536,648,174,005,425,
603,260,231,207,463,747,977,906,765,271,257,298,411,850,847,796,934,166,077,
581,155,654,903,167,540,065,014,346,131,676,613,728,707,432,938,836,962,203,
509,018,083,134,717,690,151,329,907,684,307,222,573,135,737,517,685,947,209,
255,231,850,255,221,667,993,024,752,322,667,000,370,751,510,261,791,120,412,
002,342,675,580,289,659,033,057,184,930,158,633,081,095,365,760,297,734,331,
276,575,023,147,771,933,395,183,452,655,455,478,383,892,645,681,226,849,860,
566,725,802,179,433,993,566,259,468,754,409,819,896,237,954,820,640,805,820,
245,298,247,272,766,205,868,990,303,692,623,097,119,044,943,472,229,442,796,
714,035,722,614,133,632,497,337,080,409,451,723,923,485,532,789,699,987,287,
757,632,325,457,437,201,754,932,503,813,623,945,556,227,124,951,110,592,246,
637,323,795,869,822,274,459,410,462,622,015,377,265,240,536,629,432,421,609,
145,624,944,810,496,158,420,806,691,792,165,490,426,320,040,087,167,680,445,
312,015,161,491,654,474,081,959,464,775,680,336,757,351,674,052,651,336,841,
509,024,442,097,665,429,250,038,389,408,866,101,773,669,777,467,707,979,817,
084,785,730,355,001,253,529,763,673,327,074,381,989,664,537,268,893,371,565,
644,973,862,408,202,254,525,946,686,672,307,948,998,102,845,927,396,005,581,
394,823,059,164,733,426,932,684,018,049,702,605,820,952,538,924,698,921,380,
914,186,453,749,430,724,503,521,043,951,853,574,365,769,825,342,325,962,972,
013,510,788,583,483,170,687,564,708,213,032,215,453,935,882,541,771,737,268,
957,519,529,736,071,344,585,188,255,137,313,899,854,365,484,533,508,273,421,
468,055,677,651,822,377,282,114,524,659,262,080,738,548,018,291,205,852,907,
070,226,242,154,422,004,207,551,882,840,041,284,729,952,292,790,659,611,754,
042,112,299,080,038,824,280,268,555,987,677,660,196,653,773,671,387,385,120,
376,309,150,073,095,740,093,647,688,676,389,359,676,279,114,509,073,125,130,
082,279,743,580,449,651,465,279,569,722,392,893,062,957,945,502,851,169,526,
958,134,476,628,714,177,439,667,784,921,554,480,615,683,422,279,672,660,298,
293,394,181,577,214,423,431,923,705,433,996,747,499,807,696,162,616,435,037,
261,062,246,701,131,269,188,154,320,183,919,592,772,790,751,182,846,968,303,
424,285,876,177,832,930,175,966,450,364,915,104,217,332,898,630,137,609,531,
353,495,092,069,471,680,923,852,557,891,622,471,233,407,059,938,414,579,183,
826,746,931,994,294,691,616,403,224,243,285,590,029,175,214,986,292,896,944,
992,538,379,788,654,297,964,445,400,281,400,694,371,549,419,731,863,203,320,
529,150,628,134,696,954,376,606,589,521,460,843,768,299,772,298,625,816,557,
907,002,441,599,869,427,641,116,860,126,500,651,788,119,931,620,404,167,122,
987,324,877,527,622,908,634,783,220,945,811,823,836,569,533,489,044,711,141,
888,151,095,735,044,623,454,107,475,782,583,745,663,312,228,347,859,193,453,
811,742,551,153,520,990,446,640,405,935,883,078,005,966,979,829,079,179,562,
954,074,515,198,279,752,875,806,046,148,704,015,576,180,637,304,715,291,728,
314,102,724,488,711,188,758,436,299,903,117,448,259,339,168,956,677,610,007,
014,259,048,466,836,507,136,564,400,797,007,240,822,674,028,825,183,269,916,
305,755,838,752,458,918,357,162,009,025,907,443,174,433,879,896,294,284,669,
828,945,899,957,923,377,653,983,364,662,115,817,035,510,405,407,339,775,271,
020,758,066,580,102,841,122,000,816,367,021,808,379,184,393,656,183,353,309,
371,045,700,109,359,208,855,985,912,548,762,103,230,086,933,770,183,902,604,
734,542,038,371,040,098,314,007,491,962,122,467,007,916,468,932,989,524,600,
240,270,015,552,664,551,678,380,887,386,325,797,527,578,998,829,027,756,656,
066,589,132,375,517,641,076,982,631,840,209,975,262,796,959,326,368,608,388,
601,685,281,979,224,676,787,680,405,983,432,611,161,363,031,377,762,627,726,
643,888,727,588,831,161,165,689,294,254,998,514,334,555,021,256,088,128,012,
052,907,044,065,759,027,501,414,878,069,838,899,703,171,223,811,572,714,357,
969,263,697,503,657,530,354,313,352,041,105,832,114,909,779,232,108,272,418,
013,701,266,952,076,567,524,091,717,254,570,815,207,713,246,382,083,195,353,
579,547,679,469,401,433,924,744,079,940,559,343,509,939,580,489,662,122,592,
986,147,885,276,196,523,159,886,434,083,724,415,960,853,756,934,755,224,883,
252,265,439,516,395,035,722,776,146,691,865,536,342,568,908,273,663,719,348,
482,886,952,211,943,727,697,575,806,524,625,378,492,627,439,549,587,395,760,
722,861,284,056,657,531,894,321,363,518,438,034,399,757,493,992,823,323,472,
362,411,529,946,247,009,712,846,562,095,259,316,240,659,619,903,611,554,406,
697,301,924,411,966,058,579,204,900,890,620,850,401,776,934,911,779,469,533,
621,003,695,432,731,815,808,084,165,335,387,916,165,619,042,605,687,999,116,
698,444,508,586,582,224,829,771,091,518,232,497,603,233,842,014,731,839,214,
576,463,564,095,669,610,544,866,807,826,512,088,591,233,822,042,876,127,939,
276,000,568,056,617,805,277,268,111,918,168,174,488,319,759,936,442,406,013,
602,155,863,772,302,451,137,420,813,148,428,483,555,993,460,613,132,350,242,
209,198,463,232,893,871,997,132,795,634,753,611,691,348,969,192,974,361,894,
734,272,032,053,347,854,759,052,059,244,228,569,171,151,878,814,348,237,131,
220,556,069,543,897,931,800,648,391,598,964,439,447,655,632,351,595,744,279,
119,310,364,876,025,975,043,156,123,324,055,164,686,050,917,961,191,800,202,
633,616,052,931,540,606,550,516,876,966,494,439,300,436,222,795,092,586,102,
812,611,470,958,415,611,848,591,145,220,603,499,810,947,660,833,416,960,156,
322,173,774,610,930,657,192,210,859,489,139,153,662,517,381,053,247,892,659,
773,020,131,766,190,710,321,249,254,371,264,007,324,716,165,105,630,432,619,
296,404,507,124,099,944,949,435,149,035,147,109,243,511,439,243,479,455,475,
977,003,208,727,157,210,778,506,501,315,673,792,395,976,568,283,095,296,339,
346,871,578,134,084,823,305,319,131,028,425,759,914,651,161,594,684,648,019,
095,935,156,110,414,390,546,318,014,468,323,326,810,437,360,917,684,288,698,
426,402,324,063,567,083,737,012,687,357,220,881,317,145,687,153,910,750,123,
756,682,239,414,608,002,331,494,408,533,522,197,764,340,162,658,028,206,846,
673,097,490,196,501,754,716,533,641,485,241,074,390,300,271,788,319,549,736,
550,767,855,478,236,587,856,882,212,921,610,134,423,614,382,137,018,322,568,
196,259,444,244,600,641,865,409,009,151,048,579,891,259,748,250,558,521,432,
573,028,139,253,281,113,488,889,883,879,335,272,708,220,279,001,073,421,519,
308,523,078,019,004,873,795,570,431,530,061,130,452,893,754,121,388,825,301,
107,383,015,224,250,871,532,278,257,245,291,600,784,651,579,651,577,495,949,
264,521,440,987,414,146,515,185,703,760,621,999,584,082,445,251,921,925,640,
553,797,283,897,303,497,594,145,850,296,952,127,163,064,085,946,591,062,502,
347,774,875,038,852,815,433,953,486,871,127,448,475,202,605,928,591,943,377,
590,007,906,835,224,763,504,237,596,537,595,084,134,149,021,723,082,694,675,
224,907,581,728,694,519,896,975,708,904,228,155,542,941,447,963,741,796,829,
520,162,191,938,638,874,682,052,218,047,947,387,461,298,347,365,688,779,462,
066,542,048,532,811,080,728,884,195,937,524,940,738,066,959,068,661,569,438,
333,917,615,070,357,481,882,106,176,262,517,570,211,692,308,100,480,952,691,
263,341,720,710,510,579,973,892,508,955,400,548,093,728,146,743,778,119,192,
997,507,314,947,970,827,394,815,277,558,946,459,198,190,300,364,832,356,449,
077,117,546,461,445,330,908,567,652,126,406,578,044,736,973,080,645,242,989,
337,115,179,985,931,707,635,442,253,104,316,652,385,488,898,839,513,623,847,
820,569,335,447,328,618,930,938,663,485,525,960,089,930,765,895,140,076,020,
113,183,305,984,817,025,195,832,581,866,025,118,502,317,138,186,945,383,791,
150,779,742,053,929,865,690,539,763,167,685,060,668,416,580,616,787,851,884,
562,205,855,075,236,113,994,973,695,387,278,260,049,332,485,375,805,466,462,
191,850,474,995,999,213,511,864,695,182,897,644,066,909,596,852,987,666,494,
268,480,037,254,426,273,711,164,292,280,918,624,444,055,629,167,826,988,063,
418,601,120,656,562,813,526,191,729,896,724,813,809,680,005,459,063,605,340,
983,099,407,713,026,843,633,470,695,125,132,586,777,367,723,567,144,863,436,
789,785,199,963,436,525,072,878,796,153,640,785,921,142,371,610,638,821,359,
109,633,681,024,276,164,107,566,497,587,713,827,115,699,828,521,199,201,904,
174,909,757,129,995,991,073,201,197,299,778,229,457,510,243,053,525,150,408,
327,275,697,438,619,768,609,908,947,358,168,195,770,352,389,509,600,010,627,
237,575,758,453,364,344,163,801,178,378,117,293,746,840,505,076,802,257,697,
234,847,586,039,240,914,335,625,617,546,322,814,291,256,852,818,491,710,839,
492,482,940,704,827,327,007,954,917,815,428,727,630,813,495,026,301,482,702,
400,786,188,217,520,810,135,428,786,322,320,736,688,606,197,564,245,362,854,
846,194,466,847,631,483,518,289,765,766,035,932,019,821,376,245,387,816,132,
882,017,450,499,323,264,697,714,331,901,881,702,126,471,718,527,699,948,037,
943,066,134,854,164,320,088,801,664,430,237,488,164,465,044,789,320,262,496,
583,859,428,447,007,255,415,561,409,997,567,653,489,393,427,843,110,006,495,
327,830,911,595,790,494,242,402,185,198,839,115,550,120,734,856,488,548,283,
270,455,163,896,736,544,782,409,603,767,175,823,972,980,077,965,377,332,307,
790,880,026,556,570,623,289,158,295,321,011,489,780,505,150,663,721,678,074,
826,941,321,750,616,960,282,103,381,988,318,740,044,208,279,707,197,795,802,
094,942,782,628,966,299,509,899,335,995,148,463,753,316,324,863,520,236,683,
760,458,401,874,592,367,136,125,362,078,919,571,072,445,429,674,688,205,047,
379,776,405,877,243,661,248,329,145,973,869,438,369,629,305,549,945,438,805,
847,078,403,586,601,641,958,700,711,608,767,416,271,295,717,704,095,946,422,
761,222,021,777,932,725,769,397,410,001,782,305,983,114,423,169,086,080,436,
130,470,798,058,348,091,086,841,505,076,759,728,273,266,876,218,286,117,065,
096,535,000,342,297,461,767,655,041,849,448,118,444,504,912,629,023,501,527,
931,479,728,885,974,813,919,158,330,367,463,221,235,117,380,534,088,578,279,
636,213,049,060,721,410,337,088,205,432,751,087,882,173,964,599,008,988,047,
638,119,868,497,142,827,234,300,959,436,600,908,051,676,691,820,357,664,190,
515,475,445,895,910,639,587,903,619,997,326,394,316,201,958,727,913,799,242,
205,925,291,394,928,072,981,883,533,662,186,856,301,958,818,700,494,674,739,
491,001,800,023,076,316,505,613,097,236,157,999,580,363,195,507,981,847,799,
525,874,120,019,429,355,371,757,311,978,127,337,632,941,326,512,971,369,374,
469,136,652,703,368,104,712,680,389,229,346,441,618,392,406,015,291,596,157,
773,964,591,894,714,418,336,967,418,586,650,662,962,328,514,190,861,382,244,
031,124,930,106,441,611,817,023,780,732,157,791,621,099,405,281,635,833,555,
988,393,779,835,248,858,593,679,842,608,260,894,058,390,833,566,667,326,513,
805,525,103,577,246,536,126,940,777,288,384,108,649,967,236,043,843,947,768,
971,473,103,884,443,032,680,663,156,329,891,589,784,351,094,450,474,706,500,
938,128,746,918,406,296,341,839,282,211,930,938,100,177,574,050,407,919,324,
578,535,886,590,355,941,364,954,577,421,866,671,811,369,219,827,488,110,401,
420,281,797,648,792,443,296,004,832,824,814,025,808,601,882,961,525,522,690,
743,865,957,749,106,715,953,012,133,041,120,969,253,989,825,852,312,733,618,
045,501,876,474,647,299,640,184,462,680,616,936,806,323,589,794,167,572,011,
136,765,538,240,635,060,939,549,656,022,933,310,038,357,364,904,056,198,194,
838,169,359,455,755,711,085,814,386,854,707,669,716,660,292,691,360,167,324,
651,384,622,319,857,785,781,406,970,588,807,618,953,332,988,590,967,194,504,
951,801,855,199,531,228,737,552,543,390,301,787,684,034,322,374,760,019,305,
523,137,972,998,464,805,789,801,141,679,472,084,053,882,320,002,126,315,568,
075,351,807,725,708,762,830,053,009,909,908,791,265,296,303,325,561,310,070,
330,695,183,136,174,916,674,500,893,164,037,558,601,321,810,795,246,865,465,
597,315,512,143,228,778,725,680,514,700,235,789,074,680,877,862,155,012,043,
517,085,209,403,368,029,124,398,537,280,938,865,015,832,332,403,215,840,600,
247,784,724,149,018,830,592,259,691,231,879,236,045,518,511,135,270,511,580,
891,141,473,713,176,946,497,467,384,090,570,188,785,098,150,476,986,746,184,
389,631,754,772,696,312,132,551,556,513,543,131,308,282,787,526,968,228,743,
150,672,915,022,788,185,163,712,245,712,546,262,890,901,538,128,194,705,175,
913,843,242,147,661,342,420,635,864,679,814,760,407,441,600,829,409,955,159,
118,782,047,989,617,218,234,484,830,839,578,789,036,998,803,121,870,680,639,
312,734,924,166,249,528,924,277,382,694,553,926,772,143,872,810,746,466,627,
984,626,449,786,332,355,007,004,459,839,426,492,650,219,360,815,439,584,716,
661,576,949,817,163,792,106,682,181,291,624,343,767,415,793,113,711,105,626,
957,080,474,075,242,913,216,610,102,666,070,841,775,568,102,067,857,515,234,
166,373,260,335,727,233,600,106,140,354,639,271,461,185,428,286,259,050,249,
835,126,268,021,658,509,725,933,048,545,428,511,434,947,931,861,361,487,806,
719,083,144,198,851,658,586,928,765,133,633,969,247,548,188,315,004,827,371,
371,251,682,968,149,233,438,635,679,343,362,507,903,113,163,795,362,671,525,
429,826,300,100,630,814,942,280,665,533,932,962,672,323,922,915,435,057,503,
279,799,487,655,021,262,894,963,559,332,342,396,768,246,367,101,024,953,075,
955,268,217,693,744,870,860,798,300,713,831,247,438,260,317,229,205,585,629,
450,458,629,281,916,331,555,873,131,674,205,674,554,883,285,693,383,106,045,
890,374,285,430,492,782,205,732,010,515,374,530,890,338,488,429,193,627,706,
361,522,020,279,575,760,665,910,561,376,101,633,276,673,234,914,553,049,574,
188,720,110,988,036,771,895,584,327,919,449,881,973,392,448,747,853,440,582,
155,141,509,936,845,467,173,171,383,242,444,813,478,045,671,115,276,932,359,
159,373,208,404,184,512,432,106,984,082,844,335,324,222,016,648,633,014,847,
064,125,046,304,763,470,231,740,892,469,402,171,889,423,096,850,656,399,311,
504,988,566,665,264,196,561,143,960,375,611,523,921,943,436,021,290,761,933,
404,008,455,409,299,297,240,076,707,305,481,862,995,919,986,550,241,321,254,
676,164,378,956,870,983,666,877,309,555,743,585,434,317,674,671,471,645,375,
352,802,140,723,833,207,055,352,580,548,337,793,520,697,200,404,041,699,673,
193,572,213,039,624,936,985,926,587,367,366,977,350,641,807,467,300,487,058,
108,852,578,565,666,658,390,949,701,529,957,189,349,987,889,512,415,588,928,
716,555,143,600,103,605,488,896,788,378,848,872,594,843,613,466,999,950,937,
273,196,667,810,483,484,947,336,007,779,339,856,149,166,655,369,381,661,374,
700,717,460,653,935,926,174,568,985,273,147,764,120,057,904,598,751,833,963,
482,447,449,849,432,178,195,537,554,559,348,364,168,196,931,527,905,455,114,
851,549,966,606,619,645,138,950,678,547,267,240,058,964,637,242,766,332,373,
758,149,460,003,006,383,870,528,699,027,427,813,294,936,253,492,232,970,060,
247,494,479,469,015,709,699,382,955,407,963,128,762,561,485,530,505,361,460,
892,131,990,802,834,040,970,944,464,098,264,782,186,408,306,260,010,511,055,
195,430,565,606,080,236,017,055,365,474,109,847,780,557,616,275,586,049,202,
365,361,139,343,655,069,176,547,628,565,535,948,174,958,571,643,026,351,290,
032,106,141,576,418,827,445,452,541,110,460,197,034,818,900,171,652,355,162,
824,929,146,648,087,868,176,904,472,562,386,085,180,055,402,470,532,247,582,
481,397,127,511,317,208,774,830,855,148,744,488,242,103,400,668,031,506,592,
973,304,349,660,783,591,047,693,193,994,505,800,774,948,700,347,148,045,137,
514,459,969,559,378,053,673,003,231,802,288,251,799,946,423,287,060,494,490,
900,425,271,883,700,575,557,048,548,660,553,968,017,055,175,883,936,130,683,
524,417,987,356,785,649,623,056,522,987,497,834,192,799,638,166,984,000,453,
579,844,528,531,967,006,316,385,406,657,051,960,054,673,036,834,745,796,520,
339,050,518,242,318,701,530,446,454,101,827,130,874,986,619,358,314,119,092,
219,042,993,873,920,584,530,847,253,104,535,047,725,099,162,357,367,991,883,
962,449,021,488,698,497,588,283,105,117,800,037,763,186,414,908,015,910,327,
829,495,781,170,456,195,864,269,284,352,589,214,622,225,382,348,670,498,946,
776,464,346,494,748,668,388,785,917,652,461,606,461,987,279,170,740,812,464,
766,590,494,907,816,394,289,945,526,869,087,021,979,951,348,032,300,496,221,
083,631,349,452,615,666,809,475,836,866,390,620,904,016,841,906,243,047,401,
545,782,161,438,365,192,699,740,015,406,671,737,773,654,391,282,988,557,548,
720,468,976,873,065,493,998,914,005,949,197,305,076,367,998,374,405,702,586,
262,849,484,346,831,645,737,501,328,685,996,884,702,660,835,644,766,589,607,
159,594,639,015,873,632,499,934,299,822,288,475,641,444,797,258,570,937,585,
852,453,308,159,013,226,716,220,761,010,068,418,840,968,266,921,938,570,462,
860,178,206,358,176,814,102,221,394,535,153,691,878,305,145,152,238,926,752,
759,107,344,784,114,086,460,237,134,380,023,422,953,643,838,859,941,652,002,
993,407,843,907,941,828,120,711,580,268,942,016,678,168,877,201,263,294,403,
910,723,000,967,887,966,022,651,461,339,112,323,857,368,005,976,357,137,761,
338,197,112,723,543,724,213,879,060,441,289,700,245,504,505,302,430,236,250,
633,775,382,934,960,969,569,892,366,242,324,186,813,853,484,017,510,527,892,
807,155,289,946,508,836,723,905,961,753,322,364,597,388,518,263,967,150,755,
725,872,979,839,944,213,706,774,138,549,328,684,676,248,757,428,282,112,383,
630,602,366,283,254,249,741,433,080,126,980,875,999,897,094,282,637,899,936,
733,227,851,600,693,600,774,584,480,871,045,191,680,945,287,743,193,086,821,
905,984,988,814,614,992,943,516,413,150,128,591,357,550,211,111,007,392,822,
394,686,304,718,424,007,643,064,904,893,231,860,785,135,114,265,558,327,170,
929,296,956,590,708,706,732,647,901,015,918,178,603,071,938,875,760,992,603,
478,532,841,475,754,703,032,386,759,271,190,422,767,120,942,593,885,517,754,
910,842,374,250,507,558,966,305,557,110,993,738,357,331,754,157,855,524,211,
157,032,682,045,024,116,543,694,936,723,491,044,864,075,924,251,376,986,658,
526,950,485,110,724,320,850,037,284,777,179,053,630,714,077,375,442,558,826,
097,511,900,846,109,390,238,309,261,188,309,660,357,897,963,038,948,470,814,
235,350,194,163,773,743,620,050,199,383,645,951,912,671,030,134,878,418,847,
389,464,202,062,961,381,638,832,042,944,039,614,257,750,987,019,181,630,519,
842,863,233,509,436,135,619,973,585,421,258,261,535,468,437,059,257,258,419,
797,001,362,970,986,857,311,845,481,086,137,220,789,421,820,032,276,818,297,
902,151,311,958,144,256,961,890,499,886,148,450,396,522,606,796,026,765,875,
863,401,946,630,664,020,407,147,240,849,852,908,330,100,907,473,519,779,285,
077,986,211,374,335,111,503,571,596,162,679,736,606,564,186,816,546,560,629,
021,659,338,919,566,927,516,465,260,637,489,618,936,739,523,257,975,036,444,
822,306,758,079,479,041,928,588,581,113,002,802,270,604,543,247,688,730,023,
646,605,403,313,456,112,846,285,606,964,971,335,874,137,753,487,236,887,039,
629,230,559,485,375,078,454,651,552,153,465,499,026,688,116,467,666,333,500,
139,173,165,699,296,298,764,689,805,530,444,917,852,043,766,640,657,675,122,
184,883,889,635,287,922,415,631,610,569,475,900,757,339,060,690,714,218,639,
392,412,311,667,354,392,088,685,688,545,441,469,276,278,589,451,037,858,811,
090,213,159,926,862,831,108,832,722,370,273,339,100,687,862,153,991,402,104,
243,910,491,924,920,921,773,319,082,160,141,101,278,294,568,462,682,292,309,
494,686,766,949,331,176,618,467,215,534,919,925,989,035,182,941,110,852,690,
538,288,522,001,890,965,262,053,333,875,633,142,163,478,740,031,297,529,710,
294,973,953,085,999,793,079,592,799,389,274,741,793,624,466,623,841,459,033,
014,588,457,963,986,276,662,873,485,947,961,542,595,402,032,052,507,558,583,
896,015,413,926,693,546,754,660,860,926,053,830,473,869,023,474,543,103,209,
446,755,939,533,135,024,585,396,346,957,995,724,170,906,979,002,538,742,310,
584,349,659,457,268,540,517,891,304,009,586,908,990,844,096,694,830,782,206,
928,219,986,427,611,575,811,570,488,532,581,164,417,751,104,279,031,041,520,
823,157,302,860,931,689,359,047,493,357,867,275,143,670,438,962,468,821,568,
502,537,739,235,473,367,138,246,630,182,991,086,658,541,013,056,956,961,498,
827,074,196,351,912,138,336,918,001,726,641,431,267,631,957,614,806,969,130,
808,737,501,129,284,851,209,548,293,467,558,525,748,590,224,125,891,412,620,
335,435,166,971,976,787,596,567,068,298,996,037,642,105,204,966,839,124,741,
634,376,544,141,955,266,501,167,835,946,298,601,372,222,162,090,279,534,199,
248,676,272,783,093,809,338,346,393,685,011,602,096,133,211,926,750,073,101,
929,397,344,423,530,469,710,583,634,037,889,559,281,983,192,657,602,303,164,
334,019,375,626,330,055,224,271,480,737,781,067,483,573,458,588,255,274,701,
084,594,838,911,907,529,557,714,480,710,512,390,979,520,196,066,327,779,813,
933,189,388,844,210,822,153,091,101,665,940,898,867,571,702,189,959,872,255,
201,724,792,777,615,963,108,845,911,242,087,977,397,932,633,270,291,184,188,
686,677,931,307,639,740,530,296,189,837,799,291,585,520,565,808,503,911,000,
883,295,991,651,332,522,732,998,373,167,073,090,704,682,686,833,137,206,352,
261,428,761,952,319,692,838,221,577,148,456,259,504,281,090,797,593,824,452,
121,574,670,387,991,401,030,580,265,798,645,615,248,204,338,772,553,106,536,
433,751,911,972,467,733,459,221,599,722,143,441,067,952,552,094,206,311,581,
847,572,058,117,547,966,866,984,665,454,596,386,103,265,663,146,037,970,737,
556,906,975,843,827,021,540,243,151,268,838,367,811,840,432,624,911,390,844,
289,532,971,092,790,137,163,451,875,405,415,199,691,067,688,305,422,345,829,
727,182,122,225,099,049,881,309,945,693,851,429,065,544,414,162,061,303,165,
363,227,281,972,575,731,523,122,588,256,013,768,353,278,860,126,952,268,738,
309,126,462,688,435,588,453,098,490,081,675,437,007,688,896,788,224,873,925,
491,132,713,643,601,585,628,731,555,326,356,002,173,581,574,236,118,134,821,
866,068,818,209,206,776,131,297,065,852,359,791,489,835,520,994,981,155,494,
428,368,543,377,975,360,033,736,115,563,319,368,887,275,605,904,414,432,514,
165,768,783,813,467,316,521,267,054,829,741,331,764,904,086,704,078,779,716,
715,464,656,391,246,200,939,983,546,890,304,533,909,237,244,669,701,654,574,
828,741,642,836,887,337,703,655,475,111,347,574,669,604,923,438,960,432,566,
601,599,681,596,388,836,243,879,706,202,974,345,030,898,184,521,873,962,958,
513,897,953,097,719,947,177,148,084,858,044,373,880,091,920,396,288,961,471,
130,159,492,276,932,064,366,575,031,914,224,499,990,726,362,972,557,744,003,
206,127,249,093,443,410,914,078,668,241,618,731,647,246,869,727,188,883,234,
288,344,492,477,677,721,208,239,577,920,144,670,476,954,661,806,536,286,941,
729,230,374,786,507,640,614,521,769,621,843,175,567,405,924,271,580,443,185,
967,385,252,333,104,649,174,462,879,741,137,074,223,293,400,406,304,853,637,
859,046,135,168,001,489,239,498,675,165,495,818,740,815,980,358,980,574,967,
243,256,599,032,420,860,933,563,529,466,850,817,314,495,824,034,532,426,367,
460,683,575,493,452,680,514,263,301,478,414,866,535,864,250,359,381,222,876,
640,332,769,041,671,976,518,118,999,758,278,484,079,647,535,153,522,903,891,
977,768,370,566,376,167,875,928,384,280,098,198,805,382,517,820,586,486,859,
126,933,181,045,113,134,568,543,933,477,167,302,778,298,580,306,905,237,916,
197,178,783,890,641,197,769,685,000,336,046,081,384,232,903,430,594,777,197,
639,725,750,026,419,756,298,099,450,928,303,780,356,782,932,715,387,168,704,
274,942,846,902,209,626,790,130,920,926,840,217,745,294,401,442,424,894,922,
081,428,432,602,547,578,823,315,322,402,421,084,255,100,992,123,622,101,798,
723,531,758,336,332,625,915,052,027,815,074,789,073,244,413,026,258,491,226,
384,965,894,322,271,227,276,045,326,262,482,235,745,147,383,502,224,351,000,
112,216,723,801,599,170,719,389,416,174,388,760,767,884,629,851,124,554,963,
600,377,347,893,485,099,461,066,177,782,719,154,210,151,047,483,385,691,867,
736,580,338,003,828,923,819,893,396,061,585,262,068,851,701,222,335,901,514,
748,355,369,806,018,207,963,842,552,523,260,504,262,670,390,180,005,646,610,
065,561,764,865,167,076,722,515,982,538,584,122,453,534,548,946,410,882,486,
992,148,658,479,706,332,054,370,347,469,008,258,701,721,265,977,865,023,927,
227,263,623,334,273,165,424,978,120,877,708,031,296,348,807,391,881,012,392,
042,194,117,660,765,951,150,110,616,817,571,596,670,415,283,557,394,511,773,
595,702,503,436,785,917,550,045,743,108,418,633,645,075,038,124,351,856,111,
946,756,876,740,897,514,121,019,981,075,684,115,590,775,401,394,185,407,172,
016,979,707,246,299,330,495,025,477,737,530,794,837,766,720,295,844,948,175,
696,310,497,130,760,735,659,691,182,254,040,807,397,723,836,869,559,969,338,
047,494,747,514,383,151,218,529,705,765,635,446,947,810,557,089,003,696,515,
412,333,600,385,247,102,511,843,913,434,209,775,232,909,723,993,200,541,276,
825,351,108,137,268,735,302,968,115,200,797,107,768,397,288,699,656,175,803,
109,751,962,798,903,646,108,380,582,389,517,621,765,072,330,139,590,831,417,
467,731,001,596,876,661,144,163,256,245,046,216,225,867,520,713,725,500,793,
091,816,266,037,880,472,890,866,869,714,949,041,415,800,101,024,670,105,177,
411,441,030,186,496,942,950,865,945,838,791,090,813,691,434,943,394,640,630,
676,686,513,261,603,396,632,436,686,238,301,932,113,328,562,283,703,787,760,
620,932,441,580,697,665,036,997,254,445,168,843,033,891,291,166,757,237,556,
786,939,235,227,180,037,055,077,842,168,517,140,784,294,604,873,711,574,449,
347,104,987,375,272,286,726,747,899,861,686,280,316,984,438,269,653,584,222,
177,667,935,273,114,609,229,346,729,801,056,066,736,637,140,397,739,937,270,
814,698,304,780,022,516,738,683,695,086,108,220,749,624,568,567,926,080,202,
804,546,219,867,058,533,743,302,731,348,674,951,243,657,416,854,093,354,366,
706,917,562,432,839,474,345,455,760,508,822,362,968,699,277,589,955,564,149,
380,766,467,767,569,195,698,311,836,597,267,362,392,181,747,862,952,477,935,
313,263,226,225,438,719,255,079,890,675,315,174,614,282,486,365,509,824,738,
238,097,100,123,716,288,875,876,311,272,514,729,078,981,910,732,534,732,443,
858,624,980,378,929,393,848,847,479,309,673,598,774,316,595,561,236,002,408,
038,548,535,347,097,345,811,672,986,628,704,115,849,503,476,912,184,377,006,
270,763,586,598,905,059,165,671,748,819,536,190,032,559,257,375,806,068,102,
501,502,827,532,535,471,542,027,885,457,083,704,353,351,485,588,443,137,316,
305,892,127,637,871,793,848,554,381,111,711,820,761,059,179,729,662,829,189,
466,040,119,737,337,716,677,003,281,534,166,314,795,765,128,827,013,337,911,
131,826,222,065,610,780,263,918,751,244,264,897,796,349,805,006,946,267,080,
879,730,752,155,648,111,100,096,302,953,454,247,363,497,419,713,372,370,492,
809,406,567,735,875,657,760,477,753,499,550,677,138,885,138,330,224,852,709,
332,110,442,736,952,566,763,750,054,811,017,072,239,485,953,643,305,163,268,
095,373,673,120,261,977,230,986,500,146,439,008,903,027,023,017,583,800,315,
098,272,101,813,745,441,907,981,467,992,832,781,438,931,077,236,928,163,143,
478,767,691,069,189,367,431,404,451,177,231,653,503,211,269,070,444,604,618,
684,870,248,525,191,279,352,535,757,461,210,074,185,226,149,900,304,523,574,
240,666,655,467,101,972,569,378,948,315,677,719,703,671,357,415,349,985,364,
298,593,168,614,478,461,908,995,397,121,596,059,118,005,839,062,300,295,795,
373,676,209,844,429,218,533,602,601,697,211,223,333,759,865,044,389,710,896,
534,003,076,161,050,515,064,781,084,980,450,460,999,644,449,550,648,947,685,
583,701,302,339,349,849,759,582,609,463,957,386,451,499,348,734,101,211,011,
609,177,947,633,001,289,665,211,283,498,107,302,511,472,943,912,825,931,463,
811,119,735,779,243,270,868,745,505,016,712,014,109,987,395,912,934,102,485,
365,442,993,785,244,838,173,341,394,761,095,317,781,349,572,402,700,793,269,
496,166,754,042,323,205,474,428,037,820,998,040,970,280,954,909,413,820,472,
278,115,157,503,228,701,649,414,660,595,490,088,315,256,606,914,607,860,350,
137,541,059,990,928,099,226,340,826,213,493,220,878,681,318,010,324,832,798,
128,351,725,891,810,826,524,751,514,375,745,381,904,154,667,027,496,635,506,
327,330,071,071,289,654,712,240,842,300,388,297,037,045,035,426,075,196,967,
362,339,514,968,706,310,684,890,506,940,222,848,927,493,405,926,531,232,916,
389,301,277,853,285,958,876,123,651,174,848,401,906,030,614,816,149,156,116,
317,127,856,933,159,934,227,867,592,584,505,864,990,711,469,489,818,621,279,
846,695,923,440,018,981,428,576,075,872,413,104,726,036,538,758,259,051,470,
102,029,643,339,550,497,747,415,521,693,098,893,751,348,875,666,291,832,852,
846,895,774,703,750,537,563,837,551,209,528,978,698,555,535,827,300,717,189,
571,437,494,554,837,444,747,541,573,048,735,128,173,239,342,670,712,972,672,
703,879,773,091,058,486,504,350,674,969,145,208,224,239,412,986,450,659,289,
271,325,531,164,690,948,940,273,622,534,675,221,591,677,238,388,761,946,669,
597,175,777,580,370,950,266,705,501,942,414,758,779,210,437,601,421,168,827,
518,575,095,240,295,909,008,033,807,254,164,377,162,403,044,813,231,578,896,
656,550,956,495,729,987,838,999,095,566,288,302,344,099,035,425,242,807,130,
302,052,160,459,152,237,389,899,485,677,640,022,735,022,988,610,187,488,689,
006,149,887,555,753,307,325,148,227,531,031,529,498,920,416,855,840,029,776,
519,322,164,733,621,090,967,576,739,786,563,342,199,563,023,793,350,173,722,
042,823,189,205,714,962,722,783,768,929,345,904,092,004,750,892,732,089,110,
827,070,580,681,215,016,634,053,054,461,961,456,704,979,806,179,246,024,661,
703,697,643,104,986,317,252,150,932,786,445,154,640,197,124,426,653,940,423,
483,744,994,880,419,914,260,878,344,523,900,430,484,115,758,677,371,775,708,
592,661,251,732,024,928,883,731,878,339,495,268,492,730,574,149,648,995,467,
159,984,715,887,976,948,726,168,360,672,353,330,039,786,611,350,694,811,352,
286,602,817,080,490,980,495,984,905,677,365,059,889,089,886,186,002,688,660,
764,277,371,036,148,423,756,047,666,688,856,568,263,675,668,814,372,437,429,
455,088,706,558,523,564,574,419,712,970,288,955,540,549,831,012,130,874,286,
268,717,672,989,299,507,512,395,164,270,512,282,608,624,851,979,478,930,824,
631,062,965,845,571,861,107,722,850,642,134,196,942,666,903,857,117,359,115,
753,127,030,198,104,776,328,923,218,003,258,187,674,541,929,716,876,457,907,
080,801,478,293,552,464,077,839,359,695,543,468,601,212,246,333,400,937,547,
895,402,396,706,739,219,294,455,711,955,479,036,348,918,396,252,656,658,240,
305,402,098,177,416,577,319,135,439,862,723,533,664,690,073,387,204,371,584,
944,179,335,860,528,357,239,130,286,024,164,845,920,775,637,450,072,415,546,
963,686,734,676,358,794,284,603,000,933,553,348,252,586,423,589,255,027,690,
391,622,306,240,658,028,607,280,435,334,798,257,219,081,663,225,521,748,108,
382,938,278,525,819,210,788,644,234,776,701,707,069,627,515,066,766,257,096,
793,813,512,622,433,736,476,568,532,868,215,363,165,314,749,920,849,960,724,
103,308,843,777,488,525,778,908,923,235,395,365,307,497,808,208,684,475,136,
890,899,040,518,927,137,503,219,024,945,901,360,831,841,457,093,392,735,148,
418,512,252,289,363,438,438,714,313,960,982,641,257,427,796,199,133,897,311,
147,168,158,353,521,608,119,887,448,816,109,821,183,689,827,262,368,485,398,
629,844,458,672,580,843,579,074,605,931,018,131,728,930,903,374,870,149,359,
008,224,536,329,220,630,583,325,363,280,215,086,223,739,113,874,736,268,006,
926,865,049,834,339,293,098,720,289,312,018,072,131,542,234,729,349,092,843,
735,815,028,519,959,503,685,312,910,154,419,564,533,297,946,609,467,420,110,
092,869,521,781,669,144,942,903,506,374,279,029,311,948,725,674,049,509,562,
552,057,039,530,422,320,569,472,584,031,032,772,129,124,994,297,413,041,942,
435,273,019,712,688,954,015,748,861,077,743,483,860,502,262,258,067,167,628,
654,485,096,273,550,117,077,319,741,630,982,989,129,269,080,671,601,569,019,
994,038,324,129,144,192,681,777,739,818,301,433,895,565,703,959,902,796,932,
925,335,013,643,153,048,164,617,248,208,149,749,502,978,138,589,893,986,493,
076,823,013,934,344,004,846,241,807,479,906,507,688,037,268,533,129,180,591,
376,165,277,682,322,464,179,988,657,226,524,584,906,253,569,638,040,119,417,
525,844,787,762,571,392,777,697,334,540,736,154,572,785,687,815,284,269,752,
699,524,641,960,926,602,261,433,139,318,334,376,012,003,810,554,030,710,114,
378,848,661,056,310,573,178,182,045,434,594,646,478,433,284,360,636,357,750,
116,805,234,609,726,993,452,710,422,256,883,215,948,877,531,538,223,736,335,
904,680,057,921,720,707,124,840,682,612,998,533,157,703,962,799,388,272,230,
323,869,052,140,828,757,013,245,333,018,158,871,057,328,803,907,505,876,868,
693,367,863,756,536,513,608,714,541,671,292,746,024,145,747,970,031,598,569,
833,088,041,531,592,298,198,464,226,356,696,058,478,591,585,785,895,309,194,
945,834,761,603,821,482,126,982,332,894,827,897,331,819,261,005,496,246,643,
798,979,101,402,042,231,756,707,766,135,069,542,950,999,929,726,812,530,187,
929,965,705,127,051,564,149,918,848,153,482,261,914,748,190,300,135,999,570,
687,287,340,117,821,069,493,530,474,293,431,425,211,066,876,112,982,466,143,
229,148,996,727,463,424,926,468,275,282,478,035,531,767,279,309,388,154,538,
719,409,864,065,303,048,416,361,452,111,359,304,118,856,255,203,470,884,967,
799,176,836,775,748,624,073,294,789,245,774,383,824,320,115,606,336,890,294,
832,340,199,115,647,925,073,338,731,886,222,146,793,300,104,235,547,497,155,
720,673,513,404,916,972,331,545,872,731,589,879,659,137,117,686,115,592,699,
804,831,682,755,950,091,662,604,196,059,455,664,623,261,615,003,991,342,216,
771,885,960,611,496,337,102,762,077,312,765,382,668,537,791,895,177,203,894,
355,490,934,816,708,368,997,973,548,989,296,813,979,628,498,837,342,696,197,
677,527,816,092,509,957,634,777,727,305,824,979,057,893,603,090,797,719,525,
098,983,654,878,792,095,192,865,123,668,794,880,032,887,367,980,356,575,270,
546,510,233,280,366,783,243,980,632,158,167,582,328,804,898,768,811,901,128,
682,440,999,253,579,502,222,304,352,091,394,798,281,982,847,743,318,990,522,
169,640,492,025,456,223,008,829,202,391,112,128,603,236,609,611,025,447,482,
254,697,175,792,829,704,047,559,357,717,545,563,086,431,574,971,790,405,066,
221,186,878,050,336,022,219,984,792,946,649,617,262,303,475,611,148,110,592,
045,759,973,118,869,917,151,050,628,217,874,239,097,121,495,554,589,025,176,
570,472,816,857,024,506,371,224,234,307,576,951,230,735,869,409,912,418,467,
433,321,642,052,486,449,419,854,985,903,578,229,149,051,943,444,766,937,744,
179,089,345,961,143,521,865,864,740,706,454,461,233,638,294,143,988,455,617,
861,577,966,237,186,781,227,626,652,997,418,656,043,757,684,426,567,090,161,
439,099,002,280,204,954,845,287,525,520,722,663,345,297,611,093,211,278,540,
834,143,700,318,410,945,464,873,666,894,883,576,107,558,842,191,582,684,561,
379,627,311,082,582,506,490,221,145,510,616,519,314,138,340,866,725,108,801,
760,781,625,557,394,639,757,520,827,558,092,934,321,958,641,425,513,232,194,
396,911,842,777,069,160,502,292,445,189,628,285,402,108,161,873,126,365,666,
392,276,970,429,114,386,813,143,472,218,616,356,889,210,711,693,080,171,732,
935,208,473,832,797,596,221,407,587,596,621,680,973,683,593,254,708,900,553,
171,085,252,991,383,583,198,474,479,862,947,000,459,285,476,683,930,898,959,
391,379,077,707,989,114,063,833,725,262,388,024,302,759,049,628,474,544,206,
040,704,936,262,162,105,724,749,715,422,467,249,131,958,342,069,334,474,754,
185,864,333,113,508,523,762,076,508,829,226,547,218,177,193,276,234,399,836,
300,386,505,879,551,900,589,996,328,984,411,168,930,264,927,933,692,505,283,
090,015,009,399,843,790,767,428,177,762,916,077,606,569,190,177,585,166,614,
173,477,382,136,268,466,180,103,593,696,872,562,832,932,694,415,856,754,400,
924,433,217,680,276,636,128,822,158,944,204,580,665,595,529,688,438,472,053,
847,910,493,344,270,089,835,026,494,159,694,927,496,326,446,526,007,833,841,
655,303,202,453,148,360,274,513,911,672,262,398,775,584,680,289,081,530,915,
040,901,435,143,508,440,073,587,365,418,162,516,818,721,333,555,460,510,187,
310,687,623,449,010,297,398,276,523,365,800,829,742,262,030,402,034,193,740,
488,147,452,142,341,602,833,497,010,944,809,377,439,041,469,721,000,053,436,
265,512,474,411,092,887,962,045,726,023,892,257,836,156,834,476,030,244,595,
092,663,454,897,168,915,024,219,736,737,312,703,376,784,952,000,634,750,004,
541,342,056,548,686,845,734,733,629,157,237,219,195,870,144,991,403,583,410,
890,641,224,352,889,474,973,779,668,942,721,493,294,642,792,474,694,004,990,
581,316,805,074,972,889,210,796,864,234,132,483,786,979,340,219,224,768,626,
905,040,304,000,886,845,614,516,095,847,821,080,231,309,022,892,309,233,046,
947,641,573,549,919,111,141,296,914,359,503,371,517,951,499,310,418,208,623,
660,676,239,819,481,692,250,423,013,399,287,059,532,429,403,975,567,835,693,
094,323,123,704,195,272,018,724,734,045,738,574,293,178,996,986,861,804,116,
072,699,027,119,287,059,968,674,560,553,464,027,895,466,391,106,452,867,128,
861,111,921,809,262,560,900,047,649,054,187,506,751,229,126,335,803,070,886,
037,899,225,765,367,954,507,093,651,519,606,438,785,527,170,541,993,128,542,
751,506,084,881,973,688,257,452,608,399,056,219,455,420,148,264,283,080,106,
848,615,757,373,990,075,966,561,861,624,347,129,817,049,493,339,473,869,500,
898,967,370,876,607,336,605,089,263,062,288,452,579,394,426,368,853,053,944,
724,304,738,077,981,560,064,988,785,026,961,789,960,168,836,930,647,765,651,
948,764,477,562,607,658,211,139,457,657,541,390,735,898,931,330,462,626,007,
626,636,456,904,953,549,673,032,392,198,889,610,135,310,381,973,344,113,784,
140,990,449,412,941,230,174,063,212,271,115,900,870,410,742,273,169,574,186,
286,643,618,907,497,028,826,029,836,790,126,439,840,532,217,614,637,403,627,
020,319,895,236,575,690,087,915,781,799,444,377,545,372,489,787,428,525,376,
230,606,940,380,958,237,739,709,935,959,784,630,768,985,390,140,437,597,812,
429,968,175,046,513,265,360,847,295,214,080,191,603,934,975,842,832,222,162,
494,804,838,808,842,900,373,661,124,799,803,095,950,006,149,170,816,500,009,
200,491,435,240,792,778,873,043,186,648,929,788,789,632,681,807,003,319,549,
676,886,827,537,708,882,863,392,145,784,647,712,639,096,458,974,471,785,953,
917,189,065,771,918,617,498,351,680,537,850,083,525,834,061,274,063,551,127,
268,700,478,047,879,638,446,353,928,630,010,246,163,691,404,068,585,592,867,
729,327,134,731,013,937,502,503,395,465,474,109,148,216,504,528,438,129,016,
297,478,031,082,899,236,619,526,628,619,190,489,043,896,864,522,535,766,825,
497,377,124,888,786,589,881,714,483,948,671,062,385,806,327,623,366,444,274,
462,852,338,738,656,787,274,578,344,947,518,010,854,994,493,670,085,858,950,
138,068,525,867,915,809,034,050,921,615,486,397,988,568,199,160,516,880,702,
267,715,122,853,052,627,534,107,793,580,989,808,180,463,883,665,307,788,602,
109,458,357,433,438,548,638,992,564,240,897,256,005,688,532,171,764,727,675,
860,382,450,806,222,167,003,611,629,028,992,788,429,126,650,604,371,421,809,
131,757,945,453,148,257,840,215,082,355,297,679,280,712,939,157,808,403,144,
374,771,205,920,421,930,330,427,008,108,163,834,424,483,409,915,370,010,471,
458,951,298,969,103,465,543,395,239,759,992,222,791,364,654,106,098,443,369,
118,016,498,630,664,357,238,708,275,832,797,441,327,485,468,283,079,389,988,
393,477,397,957,537,946,547,247,439,172,091,763,202,551,090,848,162,739,697,
403,046,722,748,171,643,590,113,767,691,348,284,568,746,500,879,358,489,492,
084,399,041,167,058,360,261,481,124,976,634,367,397,241,140,784,598,511,538,
408,532,364,085,683,530,486,250,911,301,123,302,855,939,682,601,425,827,447,
670,783,600,225,534,634,344,791,382,377,316,735,299,342,927,725,950,045,169,
577,184,159,953,705,012,716,443,991,373,965,691,208,215,030,453,804,361,817,
769,382,111,938,492,273,335,099,756,103,533,214,219,428,864,178,075,164,107,
837,804,352,147,531,761,852,817,559,692,084,493,852,066,198,712,057,749,377,
426,911,765,802,219,669,476,257,567,370,061,712,642,185,742,244,649,992,753,
018,202,298,024,058,899,541,017,088,524,949,506,912,739,783,981,300,577,769,
005,380,906,938,125,126,194,144,780,636,469,364,037,244,983,033,450,384,243,
018,638,722,473,636,670,799,196,332,914,514,315,263,985,610,085,844,229,798,
330,731,879,663,850,623,932,608,339,165,002,754,738,576,865,587,429,608,811,
031,343,523,411,235,186,899,391,188,488,767,149,700,210,986,517,170,125,909,
194,753,867,292,095,661,777,049,758,474,126,837,154,368,767,457,898,340,255,
350,190,941,687,214,795,457,077,306,036,572,001,331,095,836,244,710,383,010,
277,084,000,464,593,365,628,041,578,136,209,436,127,674,022,345,784,945,624,
995,588,558,454,457,702,969,196,544,678,846,453,072,617,991,674,997,409,528,
223,596,608,189,528,491,143,104,230,226,328,118,755,057,412,268,292,450,873,
358,036,709,868,801,297,095,453,426,307,594,842,982,406,364,813,331,528,464,
762,284,297,431,114,733,992,148,320,321,574,562,880,787,968,926,639,043,496,
991,183,336,952,621,520,029,077,856,355,895,601,417,381,992,792,995,821,596,
561,207,242,250,268,956,082,968,537,588,386,004,015,475,828,951,759,784,976,
746,182,947,448,599,207,239,718,420,221,764,980,429,084,884,309,131,346,823,
258,544,819,411,963,171,888,265,160,324,639,472,829,924,017,489,273,098,917,
400,310,474,451,352,320,371,447,026,878,915,173,990,168,051,887,011,211,713,
831,623,013,130,008,376,149,263,347,574,890,027,560,359,798,173,851,942,806,
928,458,170,662,735,741,879,924,030,992,808,546,740,801,335,593,315,724,722,
235,708,660,332,322,843,140,777,804,508,251,489,948,646,335,490,333,046,747,
492,782,969,261,982,629,278,407,566,806,978,182,336,373,463,879,437,630,453,
539,976,968,340,104,380,568,992,764,892,427,279,441,502,339,281,274,375,736,
263,764,061,718,099,956,797,457,718,774,317,941,386,662,278,513,351,587,095,
483,958,233,986,536,487,523,287,849,511,708,951,036,140,940,899,775,196,640,
427,921,427,598,547,794,954,525,233,820,404,366,605,816,734,766,307,956,667,
853,245,755,594,923,614,601,923,045,031,606,032,090,896,789,530,278,552,093,
655,556,178,743,143,361,311,629,190,756,071,781,508,518,867,101,961,460,913,
601,349,406,836,053,693,491,859,227,149,772,686,479,767,744,573,372,720,110,
829,413,502,024,000,972,808,191,435,222,853,143,848,913,610,449,284,248,231,
688,970,818,213,320,222,136,350,644,118,436,100,211,457,004,700,405,233,625,
607,298,021,488,847,540,473,383,439,930,088,351,016,269,550,390,948,385,456,
245,913,115,467,464,550,968,564,475,546,281,723,061,823,972,553,149,320,753,
160,569,022,105,856,259,731,418,855,645,884,543,086,970,657,160,689,141,076,
480,369,044,610,465,080,085,318,678,340,097,733,802,926,640,243,407,897,445,
427,843,084,282,915,150,140,178,734,081,592,465,683,797,066,452,969,667,428,
195,338,172,634,951,894,968,674,835,497,478,294,520,397,158,782,224,100,437,
384,108,151,838,996,451,562,499,671,528,789,332,088,794,860,417,618,972,193,
227,931,553,200,002,594,691,306,081,895,854,897,136,266,490,327,788,502,859,
869,534,544,224,524,891,064,662,463,959,320,939,157,492,142,455,987,493,048,
344,325,364,226,443,892,673,767,248,753,842,689,171,359,294,094,119,552,481,
862,972,735,472,289,894,385,714,632,627,379,783,215,446,336,941,413,359,402,
629,011,901,543,294,195,200,468,062,373,330,664,847,244,881,447,148,776,679,
667,752,307,920,900,072,467,390,903,826,849,174,924,430,058,618,780,728,984,
484,559,406,128,879,861,256,172,120,974,760,941,173,997,336,820,314,226,004,
183,461,466,268,913,575,535,727,790,056,048,450,125,090,922,213,302,543,686,
052,770,334,151,758,370,580,715,683,821,966,646,625,456,051,210,956,959,779,
500,268,471,929,569,572,336,734,920,155,269,978,324,733,681,389,965,247,965,
518,487,409,655,386,011,199,310,544,835,655,399,686,481,083,855,549,833,576,
763,678,642,906,161,608,021,368,534,024,907,971,649,241,597,455,591,507,135,
973,824,888,665,971,537,372,109,068,368,251,161,278,522,278,774,610,349,227,
291,450,218,857,310,163,115,564,377,488,729,392,125,913,078,121,816,602,084,
978,711,580,107,673,696,994,395,869,395,778,832,156,924,037,351,493,783,120,
339,008,608,052,773,334,429,084,276,824,548,504,672,474,790,289,840,457,915,
727,345,688,117,398,397,665,403,201,468,216,621,355,723,683,954,321,953,228,
478,609,767,559,184,494,153,841,952,364,079,874,594,214,780,196,775,905,443,
270,077,634,988,183,594,575,263,141,342,262,813,336,660,408,147,585,464,388,
754,562,374,318,013,360,276,926,625,320,889,235,174,694,773,384,088,352,055,
953,528,279,283,078,879,720,608,866,714,329,830,634,480,041,095,416,835,087,
884,145,041,284,063,840,002,792,658,939,984,026,472,262,093,274,572,809,614,
846,108,140,083,475,819,143,734,300,303,842,502,753,564,912,462,540,844,011,
790,940,673,218,847,100,091,175,968,643,724,513,949,941,707,309,992,243,437,
284,916,871,958,933,562,014,200,174,433,061,172,710,538,359,923,868,655,301,
412,591,928,157,722,070,244,935,374,228,593,830,732,420,750,688,814,584,910,
076,068,635,352,364,410,450,739,855,895,040,506,470,378,407,433,254,170,460,
783,298,836,839,687,413,257,958,484,096,238,266,634,104,980,330,760,123,992,
329,981,750,007,302,933,974,596,260,640,370,296,789,700,563,651,018,861,587,
613,474,192,325,501,248,854,845,137,893,110,253,937,426,016,939,505,062,216,
031,554,604,152,829,076,276,922,063,926,589,290,794,191,085,525,483,713,208,
348,612,369,937,681,330,789,158,073,391,154,269,527,704,072,845,031,846,394,
727,702,190,282,266,402,099,517,096,298,138,912,438,198,293,110,710,245,387,
021,432,415,566,521,898,282,318,593,650,988,440,413,817,546,781,743,991,598,
783,652,831,881,637,310,773,546,536,761,201,042,612,895,877,611,260,902,170,
028,481,755,335,179,160,889,147,384,985,089,867,366,651,896,259,877,930,961,
267,331,710,091,706,411,191,630,679,656,017,038,186,406,585,603,155,562,908,
339,684,316,021,272,589,620,251,192,944,904,928,506,630,012,984,085,842,658,
892,560,694,305,860,067,613,125,102,234,860,041,082,026,504,470,189,149,058,
967,844,303,392,385,241,562,707,299,334,036,324,400,949,475,952,677,583,172,
340,417,752,651,197,321,965,937,561,408,443,519,750,145,351,714,950,168,460,
206,839,539,756,896,999,924,974,136,753,031,753,539,010,319,629,324,813,828,
006,978,820,337,003,935,426,740,965,383,536,275,407,941,566,846,282,833,274,
359,862,119,550,098,427,661,536,495,225,031,154,927,911,737,291,044,442,011,
230,641,573,423,189,201,359,658,838,955,715,108,184,561,772,863,215,908,702,
429,208,755,207,242,462,558,109,345,644,958,008,017,890,837,835,020,450,694,
782,768,922,954,993,793,518,888,938,300,922,897,430,218,265,166,449,501,048,
238,591,495,428,312,735,390,057,427,396,964,701,297,783,921,751,014,864,177,
227,061,269,526,990,626,767,082,120,226,657,828,164,664,768,000,711,689,057,
999,254,664,182,101,507,273,835,265,543,882,270,259,783,815,722,635,797,598,
213,829,379,885,313,455,362,743,472,282,237,727,505,769,696,449,004,410,579,
100,311,549,492,881,502,376,256,380,923,122,164,490,686,117,191,791,310,441,
555,258,936,001,988,281,723,080,842,895,615,925,223,376,651,175,558,492,385,
960,665,369,041,274,228,817,907,519,215,068,409,937,292,470,679,573,164,991,
960,889,851,920,636,147,640,738,821,499,566,431,716,438,623,589,616,410,496,
644,173,861,828,404,222,331,707,548,657,412,254,316,354,468,293,607,586,416,
621,111,786,222,314,955,349,413,315,782,979,280,679,711,505,233,628,927,441,
448,906,618,026,164,859,445,895,573,057,235,292,112,913,507,176,746,014,438,
000,259,730,433,405,924,495,672,804,245,711,651,764,799,213,178,995,595,628,
468,801,805,034,563,666,972,610,553,040,692,794,494,157,822,469,618,015,674,
289,409,559,979,730,695,105,021,362,162,365,528,268,528,443,340,901,001,334,
672,111,980,401,426,403,736,029,764,657,920,569,520,030,392,005,897,528,774,
870,854,459,721,204,936,877,062,161,412,240,550,297,598,650,731,714,007,022,
955,035,003,107,030,125,319,135,109,754,790,426,687,266,136,248,823,830,104,
399,306,616,314,374,032,707,127,384,999,226,645,094,845,842,450,699,822,801,
266,806,083,778,136,688,232,843,737,245,426,135,176,627,625,570,931,778,890,
864,505,197,502,348,436,170,907,671,570,130,979,006,842,063,105,824,981,541,
357,302,616,900,397,853,249,561,919,557,069,100,923,383,458,077,451,446,474,
564,765,515,962,179,620,548,479,094,651,307,729,076,708,821,510,866,827,553,
764,741,084,501,080,527,978,599,253,738,135,629,972,466,284,421,171,431,788,
306,933,041,009,152,338,031,501,432,735,560,335,041,001,965,822,328,956,975,
606,471,265,497,132,864,205,664,793,027,398,195,125,521,682,110,837,994,179,
787,608,361,806,827,124,002,308,323,814,428,219,495,809,680,839,170,126,504,
110,071,024,125,419,531,793,957,899,122,830,221,939,362,348,612,898,682,960,
723,155,099,061,547,365,510,528,664,136,754,900,301,702,948,700,970,423,579,
534,825,997,978,492,442,052,497,758,299,348,927,100,909,548,754,097,504,296,
440,860,778,309,593,604,729,951,112,725,214,672,570,495,951,638,034,768,809,
015,512,089,878,028,892,774,022,171,507,639,852,019,077,740,553,721,820,571,
635,261,315,459,673,461,684,659,215,185,219,061,454,099,948,052,199,844,687,
928,973,050,392,281,770,451,248,042,626,192,425,391,290,648,973,555,785,423,
992,110,581,066,514,183,055,556,977,053,321,036,101,037,383,127,497,613,788,
870,765,038,768,877,788,456,087,689,205,790,905,328,361,433,144,264,780,033,
587,836,966,534,799,790,919,902,550,998,400,019,442,068,843,681,648,488,400,
919,832,727,741,908,599,963,374,788,537,051,468,185,420,637,565,762,102,957,
119,269,740,433,038,146,764,549,376,134,371,323,989,184,003,060,647,127,766,
560,886,306,240,110,422,727,313,470,426,801,148,374,673,325,772,778,007,294,
011,071,689,294,001,545,674,176,463,994,433,220,028,648,570,124,711,642,442,
397,960,451,067,336,800,865,215,641,882,058,847,871,337,773,189,993,995,264,
825,931,361,280,911,626,783,622,231,924,507,331,109,676,560,067,595,039,078,
446,948,240,906,904,813,497,486,909,929,472,629,317,815,368,428,555,569,961,
213,769,427,537,794,791,296,408,031,514,000,326,831,932,337,222,128,320,374,
345,950,092,914,626,724,458,149,258,550,987,608,603,380,608,748,162,527,294,
858,874,361,859,948,180,361,174,697,688,806,194,305,689,288,253,797,629,348,
897,410,991,662,880,690,905,220,266,936,979,997,132,046,069,960,426,252,559,
346,761,673,408,167,372,819,748,187,487,611,575,231,676,426,714,764,665,887,
615,904,046,438,599,796,198,254,465,354,483,502,342,451,828,030,874,708,941,
597,595,645,055,812,487,496,797,568,401,838,433,949,380,498,694,449,791,267,
291,527,553,852,135,281,300,414,990,256,764,672,104,404,530,684,358,474,459,
356,038,884,564,484,547,780,908,800,582,360,602,248,450,671,150,124,024,697,
806,580,856,948,704,398,541,810,609,068,077,595,043,106,223,782,498,529,962,
756,555,280,279,675,514,434,982,867,309,543,091,761,160,739,944,863,482,212,
989,348,347,566,135,309,908,298,975,569,673,288,914,742,731,773,400,401,227,
344,879,672,971,370,719,603,436,010,801,601,484,207,984,722,406,609,499,521,
100,088,853,998,049,074,953,874,588,221,359,013,885,271,633,074,955,406,129,
407,654,309,812,506,120,979,527,754,736,082,381,542,948,732,603,278,524,262,
782,102,276,684,380,004,751,016,934,803,365,257,844,156,203,648,913,120,633,
286,351,367,355,190,952,394,189,869,564,202,518,355,809,636,336,149,290,128,
874,706,076,298,959,854,146,727,788,173,786,138,936,770,592,592,097,170,667,
581,939,295,173,888,194,599,136,608,947,112,665,996,068,620,953,694,158,461,
911,051,520,048,162,175,047,111,728,140,638,755,791,899,369,013,370,547,715,
129,325,941,553,956,020,754,855,431,990,188,533,122,567,215,589,602,313,273,
368,062,162,052,728,832,349,118,724,729,746,488,688,299,869,205,766,952,740,
800,561,224,841,745,822,660,376,943,965,846,748,891,811,897,969,620,341,146,
374,421,846,216,413,333,020,306,727,463,794,227,089,785,435,858,433,165,362,
332,594,308,076,413,625,490,694,833,173,983,622,414,410,744,604,859,977,704,
712,098,119,692,090,020,345,261,682,501,642,820,920,549,625,100,620,880,371,
224,238,686,028,391,393,598,870,768,529,501,044,075,865,045,222,064,196,208,
248,341,316,218,759,827,972,247,946,896,077,583,236,460,069,070,961,810,178,
513,972,899,370,934,692,295,857,926,619,759,882,736,838,928,729,605,221,314,
143,689,165,809,926,235,656,433,706,433,404,389,802,655,495,106,952,970,936,
509,969,892,577,253,424,806,748,889,337,220,041,602,748,050,476,273,473,962,
214,162,139,727,299,891,357,017,167,268,330,866,986,715,473,064,626,626,858,
240,495,932,037,702,073,734,335,800,339,842,168,847,270,057,526,784,713,682,
328,096,217,735,839,620,849,368,663,538,582,116,141,290,026,283,492,653,255,
248,613,276,415,997,475,036,388,598,088,193,856,196,974,995,277,487,698,097,
261,071,447,148,575,755,154,708,828,975,771,246,541,416,650,699,867,541,225,
055,972,141,738,543,299,978,121,700,355,738,460,731,676,793,015,950,249,750,
662,897,398,500,731,695,462,982,141,892,675,168,290,101,694,224,747,903,736,
569,082,219,842,402,249,204,648,061,279,889,397,255,042,439,332,874,007,172,
734,514,247,864,495,903,863,152,568,537,949,815,066,134,208,470,428,910,805,
756,488,818,451,746,873,485,815,088,345,731,520,479,446,452,416,716,778,853,
343,737,477,848,314,454,825,901,733,453,029,877,698,843,103,666,104,539,360,
259,480,524,548,967,107,570,348,988,425,786,864,338,275,142,017,877,717,289,
513,797,488,830,864,717,743,237,670,700,259,510,825,629,939,815,576,311,166,
066,639,481,615,628,831,480,666,765,463,376,724,070,500,494,099,561,259,204,
326,821,904,590,666,306,235,659,637,686,264,817,457,706,406,562,633,309,100,
529,346,633,935,411,739,488,073,941,617,482,120,134,855,008,405,087,427,429,
064,217,995,243,445,022,725,064,546,509,621,720,824,222,262,100,748,659,966,
224,037,691,272,756,356,805,561,843,042,366,580,897,474,316,546,523,517,525,
221,603,725,501,372,385,592,737,401,290,901,417,312,380,982,681,115,451,649,
883,102,516,835,807,311,690,564,724,101,774,451,657,221,567,048,638,520,008,
619,419,868,720,207,110,334,119,549,909,771,871,099,600,991,741,599,691,239,
200,071,121,272,286,117,301,398,284,833,274,360,264,344,401,916,793,824,228,
189,823,399,669,395,121,605,467,096,555,827,435,714,673,958,659,052,029,929,
554,932,896,336,327,626,627,966,177,785,827,182,632,750,553,590,442,254,737,
978,532,122,466,938,334,477,363,819,155,116,491,578,665,102,830,207,237,983,
216,135,771,550,047,712,737,657,438,901,661,701,013,898,486,702,944,008,322,
205,634,608,453,660,852,122,829,666,721,697,118,633,726,981,789,128,644,668,
220,030,018,449,494,307,251,438,853,907,397,598,794,072,099,359,235,631,457,
690,853,937,183,012,363,275,419,891,348,547,610,429,579,785,101,530,163,644,
392,834,403,379,513,162,349,773,716,605,147,653,666,414,159,763,451,337,667,
982,858,479,620,031,319,227,642,426,059,928,489,158,120,870,455,080,850,548,
435,457,068,039,183,403,514,882,195,004,958,638,365,483,152,939,604,046,679,
192,012,344,699,276,575,366,175,946,519,143,758,457,421,369,059,895,553,230,
417,986,403,859,039,450,318,242,692,719,917,078,857,066,649,977,421,305,871,
570,450,167,285,782,453,907,341,942,836,956,330,650,148,275,293,204,663,079,
518,544,825,042,989,476,533,970,795,582,576,424,198,465,780,553,983,726,396,
598,156,908,754,654,857,436,804,802,725,716,018,951,696,347,440,986,113,896,
699,257,581,714,267,754,341,411,992,055,820,783,187,099,040,649,617,932,602,
950,448,118,721,284,811,157,150,658,568,749,014,223,252,656,373,406,355,903,
755,553,293,732,948,298,180,585,254,802,912,822,945,312,214,806,008,466,640,
264,832,505,097,239,852,974,583,957,774,779,474,188,541,769,083,727,919,073,
729,577,410,648,400,431,098,107,291,442,446,879,481,660,755,988,855,604,303,
406,864,185,241,860,081,749,745,117,929,268,722,558,205,476,992,706,860,689,
397,112,106,632,525,659,013,140,077,274,965,482,139,320,016,766,238,149,321,
259,543,090,476,583,819,810,236,617,380,394,997,959,755,720,766,811,061,954,
726,855,662,995,369,748,785,307,746,955,664,061,155,701,898,777,051,118,037,
141,429,896,859,076,056,422,706,575,369,951,552,998,051,793,264,877,801,710,
271,133,804,190,959,242,305,174,158,432,209,313,684,522,125,107,325,722,973,
559,781,019,830,541,699,926,752,325,687,412,198,533,969,118,376,764,664,809,
763,533,727,331,207,855,006,153,856,912,598,300,674,603,353,138,137,397,294,
262,514,623,329,770,658,618,517,015,566,346,635,773,850,224,167,907,052,079,
383,700,221,084,615,131,383,877,196,215,103,083,902,719,770,208,995,392,879,
611,491,153,337,260,889,162,086,749,701,528,664,517,497,649,567,309,132,223,
886,295,215,002,510,197,124,837,293,925,465,288,145,568,814,789,182,895,108,
879,322,487,287,556,673,747,224,882,343,377,593,676,947,897,853,590,386,416,
544,373,459,497,106,810,607,490,201,212,578,745,310,333,292,719,671,743,572,
268,130,527,694,272,110,653,554,252,793,942,391,391,862,409,034,329,049,560,
593,106,101,800,697,821,229,744,281,439,813,001,393,167,286,508,240,429,985,
413,147,576,111,428,913,182,882,295,464,544,052,800,639,960,929,309,986,588,
619,095,053,870,305,337,908,582,377,575,977,262,748,419,159,509,569,920,147,
668,104,338,580,237,354,922,720,292,688,650,220,898,827,791,405,707,064,845,
745,686,995,874,381,891,399,456,077,578,938,567,281,270,376,793,499,237,619,
296,614,892,925,151,959,795,123,228,020,690,875,413,281,770,661,217,795,840,
852,023,877,014,048,384,088,468,380,408,403,625,344,530,219,960,646,788,021,
632,780,080,551,597,968,727,822,316,835,661,574,103,083,719,867,579,123,817,
577,421,599,446,110,862,455,130,565,784,615,354,005,009,201,121,078,741,234,
037,451,271,048,968,137,180,870,078,593,811,708,266,989,229,112,283,708,788,
639,246,816,519,394,238,930,434,301,968,162,033,232,718,382,785,727,791,757,
066,862,851,477,288,359,442,168,106,987,445,364,238,086,296,827,672,875,066,
135,743,276,236,630,008,465,103,729,770,202,688,417,871,409,745,216,131,579,
404,025,765,660,068,506,144,059,027,211,967,967,956,895,750,546,362,033,157,
525,433,207,166,731,525,051,179,480,666,138,586,574,117,237,414,688,930,121,
173,900,474,888,880,755,235,349,999,848,811,003,930,060,453,652,584,976,121,
751,195,724,369,469,927,657,611,692,142,328,628,273,614,750,280,043,670,591,
279,288,643,691,440,140,641,409,136,316,816,972,577,614,816,175,982,230,334,
962,033,639,223,013,683,760,536,989,235,518,022,575,998,140,610,716,663,483,
014,884,643,315,046,359,298,550,711,436,370,760,508,840,520,406,441,795,300,
248,712,125,038,503,570,153,977,123,914,334,062,367,326,070,902,787,065,111,
917,529,721,889,568,380,831,372,501,620,983,708,159,408,978,034,202,640,654,
416,283,868,177,364,005,132,693,189,420,780,054,742,175,615,500,557,210,059,
994,454,415,528,116,883,865,210,202,170,925,530,049,759,785,562,067,806,984,
772,770,484,396,199,530,698,625,826,320,008,867,923,341,597,527,593,033,038,
402,176,716,302,314,683,492,963,569,655,230,311,679,387,834,155,817,836,255,
665,515,488,773,875,845,257,652,170,304,555,521,540,071,888,589,550,374,260,
628,949,155,188,096,097,030,551,639,630,235,114,510,632,509,887,312,172,133,
621,761,226,673,839,347,765,086,674,879,822,669,888,380,382,789,968,607,248,
461,205,096,461,727,269,549,831,432,277,111,136,354,931,589,809,317,932,490,
429,524,306,805,752,947,677,996,457,663,373,845,163,828,414,444,771,864,004,
480,093,182,546,591,300,911,650,563,876,086,137,410,633,644,583,477,390,551,
748,186,517,712,945,121,108,995,815,664,692,980,088,083,552,137,237,027,040,
284,137,617,081,960,939,840,113,868,373,114,575,315,914,450,740,098,202,846,
476,966,856,808,296,674,872,623,101,736,012,115,423,152,392,880,373,678,551,
990,469,119,980,122,358,166,176,531,385,850,793,466,153,360,663,727,909,944,
938,199,086,847,064,509,095,137,110,370,878,381,950,529,121,080,101,633,106,
029,652,393,099,187,242,548,353,097,479,168,794,791,749,379,302,061,406,356,
447,919,124,189,458,658,421,755,526,862,981,261,349,763,685,238,345,825,206,
647,025,001,851,005,828,074,499,790,911,201,525,236,558,770,654,834,440,600,
953,533,399,670,073,751,961,174,877,903,989,833,564,419,684,108,651,433,463,
325,512,101,212,853,888,744,200,875,633,021,406,220,204,947,278,838,487,643,
369,631,277,910,274,701,527,036,157,061,220,710,803,477,541,682,618,257,395,
877,403,806,284,910,478,210,103,957,211,215,066,839,201,977,483,624,839,800,
339,735,439,866,720,287,570,979,369,077,022,195,449,795,581,213,868,118,030,
601,383,611,570,845,836,296,240,661,563,501,105,676,685,780,160,572,111,483,
756,855,072,827,892,145,143,545,294,924,584,145,768,121,262,143,698,919,786,
936,319,877,542,529,179,548,176,463,323,843,704,831,648,727,150,525,913,046,
346,085,950,735,843,649,217,473,912,900,306,574,930,697,046,721,240,424,395,
964,782,775,148,843,478,049,121,126,025,395,623,157,466,033,718,808,087,300,
265,776,905,627,689,013,359,873,725,416,515,760,241,715,676,224,063,969,231,
202,605,396,454,787,382,931,577,469,951,712,027,579,065,140,624,058,907,617,
971,045,333,835,648,903,500,939,826,677,325,387,324,431,273,820,194,881,523,
864,792,266,757,399,734,392,544,976,179,062,455,283,546,217,086,242,286,434,
719,195,279,018,927,128,316,241,885,166,109,637,802,125,044,310,335,494,259,
057,619,988,607,548,317,673,293,854,220,766,536,722,775,962,780,798,290,085,
943,667,971,973,770,312,701,900,329,654,912,222,018,351,846,493,671,340,659,
071,737,521,864,452,932,047,321,862,458,314,286,998,558,448,611,417,777,588,
402,390,863,109,676,098,390,306,718,840,209,905,017,830,699,167,163,007,849,
362,709,190,866,740,882,612,962,805,340,642,498,194,225,264,092,164,705,768,
726,263,943,613,784,857,176,884,931,617,376,031,862,570,514,157,078,419,679,
858,588,906,798,356,087,201,421,604,621,071,983,623,569,088,277,332,183,013,
337,961,558,688,924,078,811,278,445,768,635,429,554,907,772,784,812,778,661,
994,672,673,199,523,100,739,336,067,597,678,142,449,064,052,534,577,980,210,
193,151,743,987,626,587,906,730,171,858,121,248,415,856,700,248,808,650,679,
501,210,817,987,074,108,626,275,108,081,017,796,697,856,844,499,426,440,859,
158,759,729,904,545,841,421,765,348,368,344,207,570,575,597,469,730,097,155,
636,176,279,714,353,927,279,262,921,299,705,882,695,547,292,547,502,754,873,
576,276,759,391,733,964,086,475,993,493,729,278,843,740,999,964,406,356,165,
067,827,525,178,612,681,483,597,639,282,464,973,676,175,728,883,048,834,301,
675,413,644,439,214,475,563,410,050,509,605,145,931,564,473,274,135,600,846,
935,564,532,779,230,394,421,076,832,905,889,414,603,471,993,149,732,408,331,
334,269,773,352,322,477,293,246,641,940,799,419,552,114,941,027,597,900,097,
641,567,981,127,125,011,905,522,657,160,330,695,546,978,308,139,879,809,133,
327,611,557,877,307,439,678,270,498,350,335,072,787,074,365,617,908,692,557,
001,029,785,864,961,452,876,015,902,884,289,068,857,412,347,109,350,418,242,
584,083,311,764,507,367,748,473,858,354,659,345,217,870,948,997,534,992,671,
742,286,618,531,198,981,142,797,539,057,445,013,123,378,371,167,238,971,047,
300,586,477,383,911,158,213,994,932,410,965,472,774,599,280,131,571,078,326,
207,896,931,104,715,330,097,036,829,419,403,182,201,577,558,155,596,842,595,
198,167,244,194,952,752,578,481,218,459,728,182,442,228,165,264,592,999,201,
482,148,918,331,685,431,779,960,041,344,994,340,551,423,422,298,779,304,234,
384,793,346,134,112,691,647,673,558,766,602,289,767,109,840,303,489,683,076,
902,976,186,913,048,240,134,280,397,479,534,365,193,223,981,968,498,630,609,
833,349,924,546,394,622,825,312,675,548,364,548,191,316,227,543,659,159,285,
873,333,290,464,899,152,846,862,358,504,073,496,940,211,334,060,446,937,558,
759,450,623,505,174,489,298,469,942,966,602,428,968,520,205,003,091,711,040,
087,661,004,238,014,289,291,496,964,474,042,349,625,679,108,681,732,434,160,
751,038,893,848,718,159,371,989,226,718,518,700,666,360,159,377,905,457,885,
696,437,096,504,457,172,524,380,711,797,087,413,229,800,861,328,122,735,255,
072,314,181,738,201,644,584,896,292,478,315,773,678,927,347,500,884,575,133,
776,290,974,328,805,756,334,953,366,253,514,795,888,438,146,651,028,592,700,
929,363,620,808,247,187,464,285,368,126,771,814,805,899,327,938,565,856,877,
091,314,274,658,067,114,337,889,940,442,530,713,276,854,680,084,073,218,618,
388,940,226,290,826,399,790,418,960,911,510,525,145,635,251,720,725,303,093,
448,370,337,523,235,276,377,805,977,521,794,959,176,046,040,253,464,472,736,
246,894,526,900,167,808,895,506,246,734,232,387,716,892,142,499,885,543,498,
932,198,054,946,616,767,397,188,192,792,269,770,137,727,274,690,665,660,330,
995,781,083,981,389,626,012,225,376,263,162,600,526,314,350,542,341,036,909,
106,123,736,309,306,878,668,890,543,712,472,893,727,706,754,260,886,985,728,
788,197,732,234,912,323,492,908,806,406,804,873,569,863,626,210,121,353,457,
674,147,098,552,125,603,096,076,993,811,747,308,240,834,512,504,118,370,180,
705,644,944,021,145,488,324,711,111,632,871,904,516,449,699,167,488,073,192,
591,080,833,397,189,469,731,900,797,693,573,092,931,395,814,761,499,099,852,
672,168,301,124,124,690,322,390,373,536,772,417,606,174,663,270,544,093,770,
465,513,393,007,259,661,777,596,278,258,068,863,563,235,135,202,854,781,836,
403,711,953,147,578,876,909,828,250,800,261,093,172,290,467,634,329,724,068,
078,173,672,506,191,151,657,210,484,901,549,784,900,586,629,976,649,798,870,
671,550,151,609,262,873,702,318,893,810,467,257,253,807,705,428,858,315,655,
489,689,300,419,575,691,803,087,520,146,189,391,459,257,223,238,670,936,737,
903,572,864,928,465,275,290,681,003,964,119,092,268,501,569,639,190,792,351,
128,239,869,828,813,550,531,094,504,034,415,958,746,392,851,213,832,321,242,
401,545,950,712,835,863,024,247,658,141,091,671,833,419,381,120,515,415,821,
525,754,835,412,448,628,501,519,135,726,317,159,434,729,505,691,810,391,112,
533,889,643,185,350,493,860,359,555,206,719,733,254,151,314,870,304,302,198,
483,076,850,442,983,697,139,573,566,011,920,348,957,961,860,945,142,942,323,
836,435,904,023,043,833,649,119,186,933,964,476,026,409,155,748,646,014,958,
190,146,343,253,509,304,242,627,841,131,839,686,704,493,716,595,288,682,140,
995,992,659,691,721,576,396,080,481,861,318,016,919,373,930,852,805,565,166,
952,552,124,325,596,288,359,061,719,839,754,927,214,649,549,812,574,093,645,
926,648,428,175,232,048,306,711,177,051,487,517,065,249,651,893,328,338,166,
730,254,081,531,771,086,484,526,066,336,388,090,599,953,974,232,309,783,814,
110,432,611,009,877,807,827,445,520,678,963,377,619,187,944,456,943,124,929,
970,810,918,845,309,078,037,150,851,319,861,266,549,631,935,415,213,831,482,
281,619,031,903,053,808,760,419,639,835,858,581,562,517,415,830,466,209,130,
246,439,690,123,732,172,754,059,606,317,240,081,052,086,506,266,605,334,643,
090,260,894,405,852,464,637,407,609,012,784,231,060,534,187,900,522,438,235,
335,809,410,465,880,093,875,593,206,267,134,013,554,575,538,665,664,536,623,
631,544,859,675,905,338,320,937,461,119,722,261,526,221,591,739,637,670,439,
990,249,849,142,327,490,832,451,799,191,044,764,802,755,170,230,710,425,907,
268,842,767,850,983,705,243,643,858,228,264,953,983,845,662,468,257,811,238,
120,730,856,304,662,392,564,711,001,307,616,106,378,962,334,909,725,217,152,
951,340,370,198,217,979,679,634,615,938,858,948,480,185,755,137,670,039,389,
311,636,569,634,799,441,191,063,194,674,800,397,599,245,621,684,361,854,965,
024,916,986,475,055,460,329,500,902,085,883,976,953,006,174,729,026,007,175,
283,378,648,809,094,680,485,452,092,374,966,026,177,781,643,603,481,256,847,
140,392,463,071,272,569,439,335,684,664,390,966,154,434,720,476,874,400,840,
276,267,783,967,267,478,981,448,260,773,263,124,857,460,400,267,091,805,477,
760,670,296,385,961,845,483,150,344,252,363,127,236,874,410,981,243,465,705,
986,978,384,068,850,094,491,381,225,589,992,442,661,017,387,804,996,546,735,
093,611,299,366,766,584,793,125,294,390,767,712,368,704,689,156,904,459,721,
875,559,597,069,670,954,661,867,816,606,058,171,029,181,230,304,111,826,922,
140,174,422,210,116,440,121,503,968,662,617,659,460,402,846,634,763,675,793,
773,812,227,600,001,128,469,447,427,551,047,826,945,764,858,533,873,720,387,
315,353,222,310,754,078,974,402,375,168,754,663,694,050,557,659,516,289,077,
674,559,572,727,498,445,206,051,213,584,447,777,650,264,440,227,064,671,019,
573,022,137,083,087,028,524,561,206,366,538,259,488,000,019,961,265,581,593,
319,958,996,685,569,639,387,548,680,838,681,334,948,200,661,272,916,002,116,
125,838,360,451,996,162,471,528,359,892,254,335,692,901,191,985,151,555,949,
274,010,984,149,511,665,439,975,238,105,476,170,384,027,929,625,399,746,662,
255,575,623,085,300,706,127,338,484,434,609,265,895,016,913,878,970,815,003,
125,664,849,783,802,953,150,196,898,651,841,632,681,662,944,635,294,343,703,
140,657,184,334,522,074,430,369,248,544,646,287,934,436,256,623,354,500,094,
103,546,177,916,442,053,045,833,278,368,911,129,969,497,200,156,227,556,602,
782,310,724,589,470,731,625,802,640,335,349,294,972,907,722,789,735,581,403,
419,435,644,819,246,629,552,499,747,876,616,516,471,753,338,933,164,606,764,
011,259,915,421,061,047,116,905,410,922,509,324,157,752,435,530,821,731,277,
182,927,395,060,831,595,206,661,350,980,591,123,107,509,017,539,707,553,082,
569,715,428,829,086,730,263,989,256,110,275,800,908,461,357,353,306,728,466,
877,607,289,366,837,455,647,531,261,227,741,284,969,946,106,934,345,865,729,
984,354,861,017,301,305,400,034,353,438,802,331,983,583,383,392,791,139,161,
563,768,576,850,431,135,996,509,944,687,035,643,934,905,786,016,356,655,261,
355,745,417,689,061,696,190,052,011,805,178,757,225,973,747,301,349,794,716,
628,107,724,210,644,706,328,496,366,564,044,841,683,383,262,969,487,232,612,
893,815,238,130,401,765,152,532,280,756,503,765,150,493,221,593,393,630,209,
232,935,349,343,105,146,587,302,747,409,262,166,747,449,436,999,222,818,833,
439,057,344,081,097,762,101,624,475,802,494,440,745,047,511,153,695,835,978,
794,115,775,994,908,556,513,003,746,338,642,982,863,169,805,262,844,701,425,
220,594,601,286,091,144,745,042,506,091,348,625,340,929,551,298,565,942,434,
976,215,170,611,400,999,675,973,456,912,141,247,860,387,714,943,120,185,465,
804,711,920,882,925,606,907,135,447,310,635,716,541,956,098,159,410,633,829,
932,241,522,434,406,451,781,863,335,372,968,853,296,925,908,622,837,471,728,
987,737,006,091,977,453,373,815,012,912,245,468,438,295,693,799,721,390,135,
402,243,025,475,268,983,590,759,013,680,325,841,783,128,938,651,760,533,271,
884,610,493,837,906,480,557,914,750,110,336,288,473,012,571,271,876,447,989,
471,914,860,167,576,262,309,726,274,716,468,508,617,997,954,098,335,068,304,
737,407,694,700,302,522,091,529,287,526,533,472,643,414,162,344,300,637,848,
986,247,669,265,547,837,297,682,295,127,177,665,950,591,544,038,004,578,041,
921,483,875,987,841,803,921,663,788,503,391,270,941,045,266,433,738,030,567,
633,829,046,029,710,226,818,921,657,332,260,926,633,026,067,332,719,763,115,
223,704,503,795,401,062,894,142,747,339,096,602,476,820,650,833,626,935,293,
418,765,398,836,409,453,935,761,457,231,810,103,161,454,543,488,518,003,496,
657,764,638,445,055,560,607,267,022,766,514,194,224,842,880,156,890,869,750,
308,033,003,645,755,534,038,609,105,587,400,544,107,362,409,037,854,373,792,
935,071,791,470,335,732,748,459,434,097,796,477,649,206,507,115,385,690,373,
916,004,224,336,077,456,904,366,206,538,972,207,476,672,372,117,772,380,258,
758,911,064,364,088,960,017,298,796,602,517,331,026,725,716,657,101,001,964,
413,673,970,623,281,710,005,142,838,430,796,149,344,345,344,218,343,602,444,
502,697,958,396,951,766,727,640,277,189,813,512,458,908,578,093,952,083,856,
156,636,277,769,805,827,234,426,814,409,894,259,205,393,386,108,112,525,473,
070,164,270,372,959,113,722,443,423,631,620,107,477,307,101,267,953,490,689,
831,686,316,682,202,470,558,149,442,053,722,733,085,664,325,365,391,282,159,
344,448,111,862,226,160,865,569,467,159,378,379,160,183,384,895,604,718,577,
613,790,054,718,489,238,676,372,435,653,149,026,452,777,288,822,837,918,924,
992,251,348,689,901,448,839,688,182,424,509,874,472,685,009,726,607,247,584,
430,350,377,930,766,743,064,988,180,907,310,040,681,163,837,281,178,965,748,
526,104,857,578,759,369,653,448,894,840,188,989,788,918,144,053,825,555,506,
065,288,605,613,778,904,629,042,427,544,901,826,593,142,693,727,507,602,441,
905,574,053,899,416,733,117,031,186,445,613,699,839,432,968,562,775,905,873,
174,954,035,710,125,960,471,080,403,670,287,580,190,314,146,141,357,522,664,
947,611,730,377,130,702,650,866,954,485,374,663,392,958,755,704,765,882,400,
108,643,656,294,731,356,746,034,769,685,381,603,479,543,859,318,647,842,457,
838,042,900,244,454,517,366,193,262,641,458,896,634,634,137,461,003,872,792,
050,281,915,159,332,896,906,027,733,704,390,133,070,668,938,771,439,767,808,
682,420,113,890,408,831,815,047,511,592,397,733,903,423,408,577,551,534,047,
572,950,289,091,570,561,584,450,949,299,058,545,243,218,841,469,184,704,393,
115,058,351,678,640,242,870,390,369,747,663,820,816,537,373,246,919,989,464,
466,201,090,223,841,431,755,935,378,877,529,452,120,967,001,979,913,952,416,
699,270,222,604,954,253,985,390,535,377,155,203,632,941,676,104,510,179,971,
713,075,214,414,191,765,699,525,007,546,887,095,352,188,616,586,436,306,071,
249,401,066,614,646,723,860,043,860,814,290,463,045,862,199,598,934,507,804,
821,336,088,885,801,005,341,020,588,904,234,444,420,417,692,660,794,022,587,
046,104,591,196,110,482,087,132,752,799,035,093,774,167,058,388,069,514,669,
370,247,783,108,222,607,099,840,182,107,029,679,441,418,609,570,848,876,249,
693,503,147,377,477,888,121,593,935,421,767,592,211,061,415,151,950,502,327,
274,871,658,351,924,496,387,081,924,411,467,012,317,078,287,347,749,642,037,
215,513,309,639,643,137,170,077,188,238,789,675,306,361,400,018,686,030,954,
597,193,031,941,740,772,605,363,571,511,530,662,181,324,060,636,572,400,016,
727,988,834,935,776,643,579,023,727,977,595,224,271,941,484,478,539,301,346,
062,221,550,425,527,766,404,117,062,160,242,180,548,348,364,167,365,944,872,
405,208,080,478,292,770,145,114,964,942,506,322,287,332,946,023,431,235,822,
793,033,950,245,628,353,901,540,694,760,625,417,622,827,198,266,714,762,404,
318,396,923,572,006,213,007,769,840,535,776,818,114,697,429,429,929,375,294,
396,535,906,113,992,309,217,605,915,252,732,034,358,863,280,205,725,388,277,
727,917,975,952,416,203,559,804,554,179,623,290,626,623,148,752,627,618,358,
890,986,141,550,389,075,743,970,833,135,041,336,661,464,242,489,480,877,441,
444,185,832,067,671,261,471,757,464,931,764,908,985,878,520,890,301,992,816,
906,842,386,159,916,121,230,627,506,149,215,634,944,477,220,441,856,318,098,
433,821,445,860,440,596,855,453,466,609,260,561,109,543,783,542,906,469,506,
920,016,027,481,763,154,194,999,656,353,447,046,829,155,577,888,735,517,460,
280,437,878,256,614,806,428,134,525,493,500,343,894,064,281,994,417,514,198,
947,620,408,607,257,782,096,469,421,150,157,049,456,520,829,627,117,432,771,
893,019,150,290,560,807,847,615,586,249,521,133,604,299,745,713,033,834,113,
929,181,350,574,852,528,066,474,453,095,711,923,269,825,615,184,172,941,332,
657,075,211,574,685,004,453,844,240,962,205,955,405,274,276,256,289,934,766,
018,426,780,945,361,041,776,425,939,991,759,549,449,855,140,917,283,015,826,
091,703,324,666,611,064,263,684,783,757,290,582,364,085,124,949,129,057,511,
235,010,846,836,210,563,139,276,368,981,578,328,269,676,131,414,203,004,807,
194,480,074,246,425,227,521,936,111,618,964,374,580,131,145,343,946,183,052,
039,106,486,502,635,761,954,057,393,833,437,435,343,533,737,582,297,308,207,
871,146,076,053,272,565,693,252,562,874,384,054,401,782,717,968,502,536,014,
940,658,134,960,670,562,069,662,262,840,456,226,276,390,924,224,538,756,078,
879,087,986,021,012,569,305,874,503,722,190,878,877,535,713,088,561,427,403,
433,527,935,170,113,121,463,231,112,736,760,295,970,084,673,232,912,765,231,
485,481,746,404,637,855,456,608,041,737,194,482,083,603,567,903,664,103,472,
724,940,526,301,652,673,453,704,699,132,802,015,376,590,122,213,440,227,875,
885,846,173,134,446,406,709,615,108,222,959,795,132,144,918,409,241,048,332,
544,349,411,342,411,086,574,125,473,346,064,414,410,555,952,513,134,746,821,
582,781,846,804,446,635,936,111,821,004,232,900,550,876,461,074,243,280,153,
806,796,241,080,552,056,067,956,303,744,615,038,218,864,840,424,672,507,753,
375,901,430,002,186,051,123,710,075,515,719,532,417,383,368,847,257,961,044,
881,831,172,139,834,311,038,710,455,543,487,815,537,654,689,798,101,547,876,
945,338,072,184,404,378,907,989,487,076,342,259,583,396,472,521,098,781,053,
187,397,258,518,660,959,029,197,857,848,045,119,746,373,178,652,712,477,966,
867,033,996,096,648,520,069,412,559,093,699,440,608,936,678,734,007,843,431,
838,072,772,721,749,702,463,847,188,724,887,945,623,040,292,817,962,921,199,
662,821,545,460,813,135,514,996,574,371,672,872,060,101,830,233,226,961,014,
461,161,480,766,475,412,043,638,262,261,052,965,452,840,481,508,723,289,291,
045,333,050,653,079,132,837,277,462,423,059,468,682,865,626,437,162,197,055,
007,147,953,935,340,406,141,079,381,646,393,626,597,926,677,340,899,497,729,
511,574,492,439,390,685,705,811,347,306,318,076,828,172,733,663,935,793,279,
764,278,684,160,971,917,062,208,496,624,999,028,382,479,877,677,009,058,881,
261,826,784,195,783,532,779,830,898,075,893,471,629,024,509,587,080,440,174,
809,039,719,629,027,624,567,387,025,201,045,038,699,853,405,831,353,617,098,
317,088,256,153,426,092,339,306,223,469,565,236,632,001,256,705,567,878,526,
922,813,002,209,833,435,229,504,986,760,306,481,584,755,539,220,876,976,416,
950,783,407,749,182,035,803,416,442,888,767,133,348,583,544,323,286,431,185,
263,081,090,494,074,492,744,258,194,274,796,715,285,272,704,354,421,634,760,
185,791,306,290,829,090,470,799,359,269,266,326,788,047,632,414,453,439,134,
655,575,265,158,743,238,081,453,771,185,365,004,021,722,092,314,315,007,127,
881,741,558,760,057,073,836,014,386,059,339,489,914,164,794,640,629,383,041,
794,087,388,010,109,438,561,030,958,114,083,506,773,250,446,844,102,994,490,
678,363,708,350,815,644,426,020,232,183,181,866,935,167,072,886,012,699,456,
431,017,043,048,438,899,920,900,109,767,037,366,202,024,597,262,548,428,486,
758,384,985,571,510,084,008,875,556,346,359,340,973,726,167,485,306,703,736,
120,137,663,566,748,174,760,689,506,089,868,912,153,037,504,597,457,929,847,
883,647,973,827,124,863,950,952,052,692,109,578,084,491,709,986,969,313,984,
228,356,000,784,744,770,408,134,121,953,937,764,802,486,529,507,769,075,194,
143,825,469,139,933,494,273,314,081,808,210,782,782,294,829,185,234,784,900,
477,561,373,271,902,798,465,391,473,402,605,873,178,549,501,440,580,817,268,
334,672,979,346,181,739,185,284,231,424,465,461,311,668,544,077,039,657,697,
146,553,715,171,975,219,319,309,289,700,289,907,715,162,822,477,650,983,607,
224,903,390,931,587,705,799,845,613,039,169,971,450,443,793,957,185,886,711,
424,497,297,562,883,717,293,622,085,530,268,890,090,602,185,312,529,533,292,
942,640,597,681,076,046,316,297,601,345,602,516,760,008,156,034,504,846,781,
417,413,174,432,120,434,734,182,699,619,390,900,242,128,670,719,213,984,622,
803,222,170,249,125,738,809,120,176,987,886,355,130,838,980,795,548,881,254,
029,365,969,174,279,485,094,585,613,901,641,328,993,809,745,146,115,423,404,
169,065,002,195,398,720,968,559,765,683,703,683,439,643,835,769,140,652,814,
457,909,788,958,728,630,316,911,526,057,660,411,105,593,664,433,328,088,673,
794,624,112,159,653,211,306,381,059,100,583,617,258,255,318,677,120,201,895,
611,665,228,885,542,415,107,368,992,757,135,250,331,384,098,253,381,694,678,
019,478,347,836,844,387,995,370,850,184,404,111,519,268,097,291,549,184,456,
450,739,249,134,431,764,281,944,352,096,886,724,547,175,332,852,509,865,974,
541,595,751,729,464,935,466,915,294,377,774,780,066,117,032,002,213,503,639,
201,049,574,213,954,474,458,100,332,848,450,435,841,424,752,801,305,066,093,
802,665,347,148,427,820,711,261,049,009,447,197,216,573,975,075,710,983,137,
003,845,805,689,288,929,007,556,993,181,517,741,900,767,428,205,506,301,925,
781,262,525,083,328,890,282,263,818,437,458,890,409,142,363,380,723,386,641,
767,648,871,667,985,488,072,096,073,622,091,255,942,157,085,827,655,112,327,
704,023,956,160,817,409,525,002,645,437,971,358,159,742,974,932,140,392,693,
635,244,244,362,351,296,193,626,461,038,168,944,654,370,208,143,816,475,215,
060,246,484,133,449,465,706,178,415,965,341,601,229,308,528,727,277,793,395,
929,001,182,915,955,070,606,828,061,728,950,519,783,957,865,944,392,483,701,
956,937,633,078,502,911,826,161,331,129,386,018,428,315,745,146,701,047,374,
203,502,357,742,460,112,642,705,604,652,583,952,744,549,603,371,056,950,452,
369,684,101,779,351,661,763,927,177,914,546,444,235,409,731,147,854,030,074,
948,767,420,251,490,466,661,351,357,445,175,450,936,305,231,251,536,169,347,
544,068,316,630,202,615,875,035,843,136,274,045,401,710,446,190,362,800,827,
303,006,005,419,483,493,992,063,977,107,892,940,859,278,893,431,728,784,178,
825,772,227,435,678,315,316,369,264,654,000,727,707,749,163,590,426,262,397,
830,635,370,701,372,136,857,935,117,900,431,560,058,147,409,490,458,739,463,
912,626,704,302,580,489,129,813,873,957,528,131,797,209,001,288,119,183,024,
592,082,563,612,265,496,888,438,609,246,808,287,863,794,263,409,149,645,299,
822,993,276,748,914,657,641,628,527,663,124,402,623,652,182,950,162,816,526,
338,413,277,497,935,932,038,612,526,717,903,590,027,778,055,560,138,576,575,
893,710,137,451,187,984,574,246,677,241,888,524,011,303,888,454,941,108,365,
713,899,893,605,233,634,257,201,700,649,750,655,435,689,407,044,672,191,717,
445,406,533,810,730,925,196,946,027,234,045,621,133,437,505,638,116,588,291,
786,336,331,445,609,331,102,155,651,572,457,090,058,593,195,872,799,068,046,
116,029,616,423,554,725,847,471,567,049,309,258,536,679,741,513,377,280,317,
597,780,784,748,520,886,279,405,930,049,596,212,971,480,837,007,635,464,576,
535,227,116,296,940,600,392,753,325,127,917,913,982,517,085,610,980,864,111,
331,703,132,614,213,079,153,374,364,854,411,043,661,830,049,633,802,392,731,
189,341,948,235,823,076,440,037,208,940,828,100,509,121,099,546,811,921,287,
380,813,167,651,193,434,305,629,719,507,361,891,780,887,752,968,096,885,338,
630,026,258,168,271,049,216,312,239,212,428,735,426,765,019,780,872,214,167,
894,975,400,852,690,303,611,843,397,297,354,924,347,099,737,229,099,575,688,
986,341,329,317,856,707,967,472,580,555,169,933,540,090,215,238,308,678,505,
502,877,775,044,519,888,620,358,698,271,513,869,434,272,570,079,116,132,574,
511,158,861,355,029,712,390,376,700,945,502,945,492,902,056,759,943,732,852,
890,408,572,836,286,976,680,023,173,531,345,266,019,355,772,634,020,589,763,
444,124,676,432,203,886,456,965,854,618,896,661,055,743,739,675,393,053,051,
205,641,695,529,277,564,750,282,146,922,781,739,424,250,124,727,046,461,963,
880,566,515,090,475,793,713,900,846,105,587,161,339,547,437,096,555,791,510,
926,448,997,228,073,099,264,091,941,640,972,099,706,360,382,860,184,262,684,
545,041,220,622,187,434,333,562,209,870,776,295,830,050,464,116,062,784,666,
191,029,335,749,312,237,021,559,003,392,317,126,381,853,995,555,280,705,445,
981,404,934,673,194,349,442,550,046,142,920,279,349,218,338,551,659,122,919,
986,263,162,400,517,077,037,109,604,809,595,675,815,533,787,011,670,382,556,
708,249,768,119,177,947,602,481,869,273,503,391,302,394,931,953,910,492,067,
079,197,772,307,824,586,418,028,380,923,556,591,106,002,090,696,124,072,651,
309,048,973,148,984,401,071,769,357,594,225,861,941,545,493,419,885,055,702,
865,775,253,176,380,140,867,472,211,377,580,770,921,366,760,398,574,889,568,
936,804,115,594,919,540,800,759,878,396,815,097,196,440,080,016,739,318,868,
597,801,998,326,038,311,660,199,574,949,182,280,448,317,877,017,455,644,860,
734,570,066,080,769,561,043,459,337,773,954,843,231,357,037,095,590,779,842,
038,946,506,459,694,959,051,688,784,138,842,446,177,258,263,636,686,183,495,
085,733,045,026,483,205,240,762,447,866,703,850,510,701,234,816,482,945,118,
440,204,782,709,528,337,459,727,313,403,341,882,584,762,730,928,964,867,680,
773,288,006,707,130,793,779,138,894,314,959,228,921,314,300,995,185,207,250,
508,944,616,419,985,078,064,051,745,039,238,975,991,608,086,616,622,195,448,
078,768,163,141,557,956,494,938,031,490,268,735,086,493,130,522,990,271,267,
657,671,863,843,952,507,053,922,988,163,968,050,124,844,026,972,716,554,075,
521,758,199,550,474,183,455,970,941,746,406,138,903,933,295,594,857,512,158,
309,957,911,609,414,690,355,529,631,432,208,291,651,806,992,647,126,403,590,
567,440,199,034,307,380,982,394,833,902,079,101,583,710,616,247,997,814,703,
546,590,003,423,386,644,429,364,753,585,029,910,504,260,038,342,776,593,884,
388,931,668,423,642,907,092,330,396,057,494,842,965,558,762,132,645,942,119,
598,220,964,870,829,763,562,758,165,348,059,839,590,096,004,753,069,981,355,
274,236,821,560,142,998,538,381,832,359,214,019,437,009,116,183,869,571,830,
576,039,852,146,700,298,631,521,069,787,187,860,742,423,370,210,540,290,526,
666,475,528,995,912,011,440,878,279,124,497,352,828,972,290,493,188,591,279,
624,255,254,526,844,169,198,806,261,345,518,297,155,875,318,487,276,570,327,
698,322,309,240,707,306,207,926,832,168,563,554,253,081,114,410,700,255,392,
088,361,340,742,433,047,837,322,896,694,996,103,562,005,438,388,311,905,379,
644,550,109,265,980,426,088,151,120,290,808,055,110,752,447,812,189,978,701,
977,552,911,708,631,999,750,032,158,094,840,259,688,279,236,775,534,664,049,
564,014,768,311,174,981,631,512,626,478,199,755,105,254,407,178,307,357,946,
333,005,309,372,456,471,069,886,821,791,045,756,668,085,473,209,808,664,146,
915,621,256,282,314,336,325,482,281,616,465,533,350,856,564,447,151,881,658,
405,644,721,325,337,878,813,760,342,046,916,912,363,660,462,520,192,203,099,
185,295,777,543,026,576,314,711,735,630,981,455,282,565,732,200,314,701,835,
753,596,783,113,830,944,060,521,529,267,855,593,524,103,737,532,442,878,595,
985,502,207,762,864,467,105,194,055,942,774,244,280,311,911,755,504,107,850,
579,719,801,755,391,728,619,627,715,639,355,575,137,613,683,307,519,372,828,
547,890,569,262,923,995,383,057,535,093,216,635,975,685,903,158,718,059,871,
378,854,403,238,168,801,808,553,870,264,746,879,923,409,920,680,403,042,353,
444,384,734,325,316,870,919,749,938,849,527,310,535,435,003,482,533,412,825,
394,206,475,025,535,674,000,034,136,160,917,308,800,229,997,874,452,273,273,
956,093,418,728,429,467,821,697,484,170,821,684,145,907,922,742,363,812,759,
209,792,564,661,173,403,072,651,883,876,744,300,770,043,058,309,309,875,013,
294,385,423,410,747,536,206,582,944,714,818,184,585,416,300,369,420,966,658,
432,782,058,401,400,849,986,418,796,301,549,134,489,890,668,639,832,663,810,
133,523,745,716,558,367,647,596,466,762,436,211,836,493,108,182,599,064,561,
593,007,857,007,765,080,498,686,823,684,136,599,214,783,796,860,751,776,017,
929,626,752,726,619,272,971,564,854,604,925,934,536,610,351,753,991,556,115,
932,745,087,590,421,057,824,030,708,160,050,703,947,501,172,768,072,192,023,
369,649,719,809,430,883,798,525,410,912,498,443,511,428,022,467,714,145,984,
230,494,770,263,369,503,360,847,777,819,944,928,879,784,298,415,628,249,930,
801,110,023,829,426,016,063,230,021,409,057,608,590,151,966,631,639,707,592,
934,282,250,700,075,436,822,687,849,859,676,121,740,466,043,881,164,149,706,
341,607,013,328,133,384,517,438,616,096,427,251,562,647,646,234,386,944,200,
162,714,858,151,525,901,375,942,161,467,522,549,478,523,401,560,786,099,151,
204,942,176,133,860,935,630,743,858,846,036,309,237,423,909,911,264,725,376,
298,592,739,027,317,685,795,113,425,147,829,090,543,273,827,704,359,201,899,
296,351,710,583,992,778,279,199,001,220,262,738,582,134,627,125,357,888,879,
672,724,146,415,059,438,527,352,049,191,008,412,415,066,576,538,793,659,683,
997,758,282,574,875,217,132,719,277,675,959,046,258,955,424,137,174,880,541,
109,932,998,305,260,002,662,011,053,975,518,761,726,122,058,329,414,434,346,
927,299,405,454,001,660,274,518,973,211,555,095,967,696,494,840,710,924,875,
175,383,533,110,086,952,476,842,740,466,569,113,190,319,302,264,631,565,118,
573,336,183,227,671,086,921,130,020,871,856,848,810,986,181,297,134,744,648,
867,611,607,328,564,401,147,783,341,337,073,756,523,641,000,085,033,191,889,
999,763,640,984,100,737,414,283,383,189,499,672,474,104,497,113,764,930,710,
305,902,860,755,330,110,349,036,162,991,851,985,795,117,540,294,897,993,762,
622,959,248,274,330,408,259,407,996,110,753,763,390,899,076,210,468,493,197,
486,051,551,645,496,633,411,433,440,061,229,869,814,315,431,067,429,462,437,
102,486,996,365,632,644,357,325,697,871,354,180,881,528,865,122,783,212,856,
283,420,754,328,996,343,789,196,738,104,018,590,879,003,284,111,789,087,944,
842,443,356,209,036,355,224,714,992,134,760,604,175,519,503,521,066,646,422,
874,421,416,819,199,564,800,516,273,688,517,827,673,840,490,251,971,708,229,
906,772,174,294,335,056,480,369,528,143,753,264,602,196,329,318,518,113,761,
546,717,357,132,425,434,341,601,464,392,735,468,842,115,029,219,514,681,165,
836,001,791,259,889,833,591,334,746,752,404,133,325,067,701,661,531,736,749,
020,157,721,716,160,277,033,039,226,786,659,496,108,634,407,140,661,499,749,
107,326,683,402,909,432,071,199,957,288,096,800,255,762,277,037,380,884,504,
839,457,670,758,199,020,895,552,462,397,188,627,733,676,551,561,259,626,199,
583,269,472,205,352,275,595,012,966,508,137,562,619,720,521,310,365,712,081,
591,642,206,327,240,307,338,611,570,134,587,514,660,822,158,714,979,777,496,
850,674,501,043,470,756,289,125,206,050,009,632,586,119,073,988,469,772,165,
901,852,308,563,937,540,944,886,534,726,335,264,948,120,443,242,434,763,973,
473,344,304,302,981,089,688,251,327,151,119,218,640,016,231,903,608,468,401,
386,053,611,321,924,496,274,244,989,566,204,345,406,895,787,552,553,160,837,
190,042,572,990,825,683,399,099,375,922,684,276,648,664,724,975,077,421,026,
719,331,841,810,444,706,800,777,678,567,567,132,912,434,227,552,872,485,219,
734,931,019,874,705,873,729,990,259,263,872,659,364,477,732,616,389,918,411,
802,559,289,315,231,079,700,961,350,355,235,931,497,090,822,485,429,414,882,
894,002,679,936,553,755,251,836,055,520,147,129,672,621,851,271,462,092,381,
972,513,899,565,823,479,639,107,026,481,631,500,973,075,605,182,163,806,003,
690,470,214,714,371,016,312,033,107,218,428,909,575,199,690,466,444,591,044,
321,842,326,093,567,255,514,687,715,754,544,332,898,834,317,563,459,268,226,
145,188,790,149,274,267,725,891,003,766,149,749,556,860,564,292,380,536,003,
883,462,697,223,644,082,578,087,182,821,410,102,407,790,881,648,155,333,521,
137,183,332,958,195,827,066,137,700,944,636,237,331,931,282,926,724,560,268,
087,591,161,074,833,813,758,974,418,880,610,870,182,532,110,859,567,925,746,
913,796,570,456,493,668,973,699,217,553,417,437,567,274,742,384,561,169,198,
609,552,968,930,171,072,161,369,027,574,008,070,465,260,010,108,179,915,625,
908,893,936,633,330,522,311,007,916,092,739,115,143,705,947,748,313,580,962,
361,547,812,760,952,469,663,694,288,542,299,547,238,713,005,689,814,662,140,
695,507,885,426,878,649,462,785,512,402,518,531,384,128,295,203,524,507,108,
264,676,489,642,351,977,895,106,594,127,158,184,823,017,784,902,453,348,747,
753,585,083,619,889,097,510,087,713,955,763,038,166,796,870,073,186,281,101,
096,647,452,624,353,977,754,154,953,803,617,734,642,725,597,160,022,024,576,
341,079,911,892,399,806,891,377,750,101,197,664,997,255,642,673,908,099,681,
248,363,836,398,903,491,130,637,303,831,556,364,671,575,285,562,764,485,016,
761,283,077,931,964,541,307,536,290,914,963,449,449,851,604,880,565,452,291,
857,867,588,533,443,490,569,615,677,410,624,351,390,059,111,046,154,372,354,
013,436,454,395,035,305,229,242,976,362,456,390,575,829,437,161,134,978,605,
281,234,232,325,282,107,463,342,120,350,959,854,351,706,970,189,251,418,611,
818,225,413,310,563,162,639,505,763,920,790,021,123,661,125,234,551,337,235,
022,393,662,165,793,573,202,330,215,427,633,443,826,025,552,691,212,365,089,
536,269,592,187,729,297,574,305,125,833,407,497,199,311,196,934,849,765,624,
267,097,794,668,968,730,257,354,784,499,358,242,979,109,901,638,602,378,939,
874,122,517,294,491,627,859,115,010,595,083,439,604,241,105,072,742,081,847,
337,413,998,034,167,234,301,489,618,583,001,071,090,590,293,090,150,151,924,
640,247,807,676,208,466,501,473,312,567,492,131,255,942,508,462,760,611,882,
744,339,154,466,806,185,021,570,453,324,054,228,009,769,222,198,505,852,136,
223,962,136,747,556,636,017,888,056,407,914,392,967,532,082,424,114,577,279,
074,692,407,650,288,742,909,266,593,034,255,745,458,578,192,640,203,287,762,
087,651,279,908,249,026,194,501,041,815,103,082,089,138,214,546,783,929,553,
359,225,323,452,754,749,549,246,528,865,405,349,115,590,940,398,067,403,981,
601,644,757,702,623,462,770,380,787,648,110,073,250,646,381,467,488,194,553,
471,227,350,657,159,887,234,568,850,248,111,476,743,033,977,444,015,031,570,
178,196,646,282,103,050,000,908,029,160,362,237,447,778,507,795,873,231,692,
422,040,760,074,009,299,500,626,890,106,082,276,997,724,543,440,860,237,327,
670,466,582,836,047,418,487,647,019,297,799,727,346,779,249,324,416,121,375,
463,116,831,800,759,307,360,874,408,067,123,065,198,857,114,826,813,933,561,
510,703,070,225,772,161,403,431,297,342,163,889,604,271,625,327,356,770,985,
820,120,275,469,306,841,392,222,953,251,622,398,576,800,500,098,444,994,511,
494,788,420,712,993,057,917,035,348,016,982,580,159,098,113,266,211,920,641,
667,419,332,317,034,138,608,973,796,514,410,333,664,173,342,684,120,239,976,
137,363,408,449,682,585,051,695,713,347,335,622,483,611,113,470,403,963,684,
700,114,061,498,282,556,712,679,684,125,933,332,932,302,008,300,911,324,572,
249,825,572,038,046,961,256,536,837,754,440,944,298,189,301,625,187,713,638,
533,756,941,446,038,776,181,979,930,359,839,600,373,693,280,030,740,917,315,
400,766,520,992,716,997,297,004,220,608,427,045,074,389,789,486,914,873,965,
545,781,322,983,256,579,334,213,580,413,308,741,430,564,950,442,578,440,795,
898,396,649,776,689,758,568,840,980,726,852,518,874,324,647,272,152,532,958,
620,881,681,996,855,282,242,331,369,720,351,530,295,129,347,763,069,246,640,
563,947,113,662,960,865,488,090,771,365,340,239,847,212,474,349,241,289,091,
033,407,695,615,563,416,476,140,033,538,526,345,506,142,933,010,925,625,198,
706,771,007,386,216,075,263,481,506,990,120,755,530,640,297,139,596,030,695,
513,570,646,059,490,285,319,766,427,519,188,288,906,267,771,622,628,524,110,
772,767,094,867,294,665,880,065,881,043,319,548,813,484,903,910,165,376,115,
916,790,010,509,222,878,487,880,122,782,720,867,148,898,750,186,628,193,846,
261,382,666,139,486,438,445,639,835,741,681,680,480,414,494,951,064,022,431,
851,334,175,629,811,776,752,099,156,320,939,133,332,198,130,042,105,856,204,
515,875,352,298,976,166,747,973,221,669,251,251,812,395,395,502,609,678,165,
273,934,397,466,448,906,006,317,243,061,682,018,653,538,652,915,647,950,994,
082,788,097,467,235,979,411,565,219,940,612,740,833,096,275,855,249,018,606,
870,653,314,858,732,279,463,315,004,935,310,321,603,194,595,912,506,736,695,
545,640,760,029,787,566,861,581,821,538,543,449,598,386,253,995,136,103,428,
156,508,721,557,830,543,065,317,677,867,026,671,498,210,585,462,350,455,796,
246,847,605,118,568,486,290,280,776,126,313,033,710,320,913,810,476,069,033,
179,319,931,282,054,131,700,016,704,305,897,355,180,015,331,153,353,731,757,
617,170,645,676,208,779,622,938,495,749,496,062,476,208,284,603,588,086,871,
529,430,102,780,088,260,294,469,967,581,423,126,921,715,358,061,797,661,702,
076,762,822,825,516,244,168,966,079,358,335,950,755,236,877,236,200,412,787,
401,167,431,616,204,508,655,933,858,766,915,941,387,941,760,370,522,894,373,
432,885,822,231,118,256,843,961,633,482,819,278,545,182,927,271,596,216,307,
209,302,906,975,912,688,834,830,563,177,480,627,177,600,620,216,587,862,058,
366,844,577,790,310,529,126,234,797,146,546,009,943,616,748,660,951,354,824,
659,245,767,814,022,454,961,210,543,042,033,304,889,158,272,828,984,756,569,
738,199,767,978,410,254,789,320,146,634,466,622,780,077,183,832,658,240,690,
863,611,649,000,507,261,396,228,980,207,778,214,717,258,229,265,906,467,419,
911,168,955,411,420,792,590,835,585,045,786,696,541,544,005,725,423,529,709,
388,937,972,095,420,538,388,800,145,240,030,871,520,874,876,202,265,517,528,
169,530,136,254,283,614,240,543,128,353,955,984,770,708,536,529,007,818,210,
008,680,304,798,880,385,447,682,793,566,042,504,276,459,365,099,714,395,633,
598,322,390,445,496,777,901,264,065,312,816,644,493,325,095,928,326,153,066,
927,582,081,342,846,926,806,843,938,821,599,120,639,924,793,197,916,473,991,
488,846,720,372,459,750,415,188,033,622,758,677,757,754,061,786,286,921,040,
691,715,672,774,563,398,850,555,334,024,376,736,572,223,696,917,138,197,544,
941,979,650,975,194,694,066,511,903,375,875,496,054,718,773,424,934,931,083,
753,848,458,310,910,622,974,824,682,954,909,037,922,685,014,458,602,022,012,
237,768,863,707,081,755,711,533,617,843,112,130,738,028,673,487,051,486,624,
583,720,473,425,660,954,803,959,030,074,933,148,367,296,008,498,404,551,261,
923,048,335,643,299,599,291,990,737,188,547,634,715,105,748,102,139,954,905,
849,340,864,610,112,968,633,597,643,498,835,274,217,996,505,401,412,332,458,
815,119,320,062,727,932,772,999,615,878,074,531,954,764,008,714,098,124,973,
797,146,696,756,197,403,806,302,415,357,505,882,709,533,912,174,818,676,073,
467,042,132,852,387,975,914,211,551,753,068,081,404,870,637,786,174,677,984,
468,043,399,877,700,429,403,795,947,710,113,261,046,001,969,022,061,686,349,
182,581,570,961,646,412,069,091,286,297,340,210,222,191,510,466,373,965,635,
364,709,002,131,014,914,079,772,755,719,249,979,904,967,572,110,089,865,805,
084,053,703,820,327,053,911,567,427,890,443,186,453,191,792,026,873,836,761,
462,824,149,442,901,044,181,993,111,307,048,803,120,619,938,524,371,060,806,
098,739,707,489,289,907,582,368,992,600,980,452,049,414,109,327,416,815,587,
548,895,921,602,454,045,303,854,386,389,295,991,422,465,256,361,676,489,531,
888,127,967,908,105,823,775,278,540,023,542,370,422,789,083,544,608,289,644,
454,265,561,628,611,319,011,015,744,675,158,391,525,093,228,715,634,861,782,
709,542,225,413,560,429,516,580,527,093,623,473,412,652,026,377,187,955,263,
185,144,907,352,470,810,059,360,290,378,827,117,350,274,558,672,542,510,977,
401,261,697,331,229,355,739,843,162,380,061,608,765,666,205,611,951,440,393,
062,293,752,950,396,101,336,499,182,268,644,540,522,533,925,497,401,692,157,
930,286,475,742,546,371,874,776,514,617,199,030,828,346,406,017,449,049,449,
702,976,679,345,123,739,012,479,859,720,621,773,477,335,401,604,760,018,561,
779,281,591,265,161,748,989,434,470,811,461,980,872,555,668,244,679,544,681,
634,552,181,189,834,348,170,508,514,802,220,904,284,473,949,364,391,392,504,
631,022,370,919,452,087,127,417,207,789,288,646,053,867,024,429,366,071,721,
679,265,569,210,157,185,987,537,012,567,602,188,882,703,465,143,836,895,491,
322,055,920,609,710,185,376,524,083,425,764,442,005,131,484,328,767,891,791,
356,834,539,890,634,154,312,089,385,179,557,332,621,674,660,606,615,432,464,
438,226,809,016,680,907,202,445,521,966,382,292,391,167,702,655,403,438,497,
708,597,925,135,407,695,029,398,506,908,675,751,660,773,905,333,701,522,828,
679,733,916,587,055,317,473,217,933,287,959,668,204,289,304,424,282,261,465,
453,368,283,958,128,770,536,847,518,562,312,653,977,658,209,987,166,039,293,
294,819,439,166,163,094,093,534,661,598,753,485,458,613,050,757,814,551,771,
913,346,603,216,034,460,931,220,926,720,450,871,396,913,538,675,070,315,693,
975,737,059,239,969,521,799,909,856,046,978,365,140,225,033,175,302,777,757,
550,523,900,396,947,203,322,099,222,954,235,960,106,430,333,106,051,091,593,
635,093,047,723,211,873,952,005,382,747,940,929,467,063,594,927,487,552,735,
595,034,646,726,400,607,090,481,406,453,444,465,550,946,324,265,155,284,832,
490,319,571,583,232,290,745,849,228,248,517,789,005,611,720,183,975,218,026,
523,285,947,411,326,692,298,501,641,705,279,635,126,675,045,771,435,363,345,
415,046,738,116,035,357,078,840,057,649,483,290,174,518,992,063,944,101,120,
501,592,230,072,743,038,679,512,402,553,398,645,644,530,039,541,320,244,600,
713,184,752,510,049,139,421,164,855,242,272,177,253,961,744,353,426,488,586,
601,470,338,859,445,203,660,179,618,501,254,890,469,094,917,152,406,388,405,
326,513,544,468,734,347,244,253,875,625,320,835,044,762,414,594,337,583,339,
202,336,938,684,831,156,377,365,225,235,801,509,746,117,739,271,239,764,368,
473,449,582,394,203,577,740,262,211,152,472,936,934,485,224,160,671,760,381,
632,953,951,459,581,176,147,104,033,851,905,048,110,323,768,335,763,289,408,
794,797,221,368,662,381,346,456,379,261,180,589,423,520,588,997,539,988,705,
861,879,864,190,435,263,812,818,664,592,718,872,026,215,524,058,545,605,432,
082,687,342,842,137,498,498,685,587,581,914,288,613,795,142,666,797,436,164,
665,159,249,101,629,603,319,753,277,979,736,437,182,618,078,501,183,756,376,
446,961,601,365,680,196,479,332,929,425,339,824,113,056,525,452,712,268,511,
157,655,437,113,059,558,228,621,724,213,847,589,151,680,282,488,193,744,957,
817,157,569,684,454,087,380,900,834,319,002,986,627,539,655,718,761,831,557,
073,582,030,615,462,046,031,527,934,361,485,194,943,306,038,382,209,137,466,
967,112,426,442,658,423,321,606,134,599,810,980,085,943,308,818,475,255,522,
650,032,670,099,837,162,869,486,435,009,698,321,544,809,005,203,560,944,793,
796,655,263,286,445,818,661,334,424,027,073,845,715,983,312,487,660,685,614,
008,221,795,606,417,433,955,239,690,695,643,370,991,202,683,429,699,058,262,
360,601,378,998,004,940,626,684,284,163,708,471,336,224,106,850,825,517,399,
131,281,454,268,069,087,904,460,291,651,588,739,299,868,784,742,523,521,453,
157,747,103,384,992,118,818,181,317,679,323,577,406,812,082,060,337,433,060,
112,794,499,400,668,486,917,512,981,872,226,130,258,337,617,409,095,299,849,
968,170,331,034,052,926,122,032,295,260,643,521,275,728,941,980,138,350,326,
640,658,460,353,631,124,884,646,352,264,705,199,751,956,189,145,412,324,087,
358,492,010,499,997,158,512,378,208,559,202,070,426,431,023,385,587,794,826,
394,213,509,124,892,120,510,777,886,890,697,553,976,920,282,172,267,305,842,
676,171,717,161,129,325,509,443,300,951,672,078,535,620,507,091,690,256,128,
333,165,904,034,751,162,928,114,494,868,763,800,175,710,209,516,148,505,090,
430,471,622,365,549,292,980,131,195,981,350,738,609,894,600,587,781,237,273,
181,970,204,771,619,545,541,242,046,910,798,570,986,090,810,310,247,727,647,
624,421,758,310,901,772,731,067,147,081,645,294,321,553,372,558,897,001,822,
775,591,003,097,842,523,890,808,710,572,882,904,615,995,434,675,668,784,166,
694,067,415,192,156,813,769,321,572,884,278,067,331,429,725,145,693,226,380,
992,730,124,485,145,031,416,112,424,750,399,102,060,971,231,053,292,288,283,
912,302,579,903,346,489,399,528,338,628,105,998,118,277,445,201,583,108,318,
430,293,968,525,203,983,623,495,753,846,226,471,622,646,186,706,432,967,411,
066,749,599,438,157,340,921,670,518,672,190,672,210,322,420,432,697,989,857,
077,122,323,086,151,721,573,270,752,918,841,487,032,157,869,926,817,734,144,
403,028,246,141,540,339,537,735,785,738,257,712,016,267,169,333,836,956,566,
621,628,422,849,311,958,581,429,902,940,862,934,719,370,623,654,359,509,795,
374,499,938,261,961,971,375,331,996,958,839,856,734,389,925,231,155,281,873,
941,874,090,922,487,530,708,713,851,741,195,519,908,763,658,301,256,216,624,
253,126,877,678,954,790,890,089,562,367,560,288,921,971,679,026,377,590,457,
946,341,933,326,107,518,760,654,326,004,985,142,786,891,954,955,573,668,491,
874,989,769,671,879,908,393,524,938,680,420,968,073,842,186,220,647,591,942,
426,057,948,390,372,582,421,385,174,019,166,359,096,554,272,907,861,085,892,
082,008,375,405,087,339,458,758,471,178,385,166,441,141,908,026,678,614,796,
644,624,340,756,252,316,560,011,351,251,806,551,780,173,105,437,660,182,852,
807,968,244,503,111,422,880,244,356,277,053,164,100,722,471,226,085,568,968,
475,551,005,428,133,227,552,589,438,248,265,518,718,495,830,412,274,736,851,
274,342,388,450,546,719,609,778,453,868,383,674,250,244,168,101,118,936,242,
592,487,686,271,939,218,150,508,655,714,745,290,789,808,949,884,255,858,174,
171,550,856,144,121,660,001,754,039,265,050,784,139,323,290,731,723,698,550,
183,119,953,139,846,261,213,825,869,018,249,283,652,805,114,077,826,301,998,
957,506,131,109,238,426,217,594,662,913,691,562,843,417,722,035,421,504,066,
208,345,740,882,100,423,482,709,966,000,886,167,162,529,592,120,868,120,976,
962,634,274,384,208,262,860,521,867,545,461,591,615,022,765,001,436,562,815,
531,062,257,353,418,735,894,020,185,456,965,097,123,795,445,871,964,703,225,
871,140,710,963,310,106,620,323,460,556,158,457,528,361,512,889,493,559,717,
964,006,296,742,668,896,318,589,148,880,624,087,074,847,173,569,172,054,812,
295,731,243,679,620,668,174,646,354,822,696,013,008,294,816,129,979,071,111,
856,022,645,300,899,504,055,286,540,946,803,240,633,439,430,794,150,060,891,
716,813,603,772,952,620,071,167,802,073,147,848,000,859,034,272,841,011,149,
758,417,464,974,791,462,925,877,132,973,082,990,978,138,247,989,902,890,137,
728,956,108,487,914,784,927,102,712,953,525,478,903,879,638,608,595,671,023,
483,357,779,683,959,597,948,913,200,939,899,339,571,255,430,782,476,639,729,
189,037,711,709,217,889,595,384,950,428,935,625,280,279,362,832,841,908,133,
083,359,740,718,839,170,868,614,897,439,249,089,282,633,812,308,052,204,574,
428,286,421,902,108,481,318,196,332,242,594,723,465,450,808,514,636,495,227,
462,578,822,237,987,860,668,548,432,457,903,762,569,983,937,733,252,414,767,
555,779,037,508,504,726,816,147,225,337,853,230,134,643,596,085,362,269,977,
719,204,420,438,118,038,367,533,194,003,309,479,256,653,383,679,936,837,068,
395,686,188,661,057,979,605,698,965,705,255,457,829,708,788,393,770,440,776,
725,924,825,112,751,239,550,366,680,154,760,090,426,384,143,069,816,316,572,
476,416,709,804,462,918,129,311,894,148,051,971,596,670,740,003,136,553,712,
812,612,041,061,559,765,311,697,904,490,369,694,851,364,822,818,045,562,142,
529,809,593,975,971,698,762,580,733,414,289,132,196,750,218,460,142,185,542,
379,772,744,319,093,809,067,270,289,684,606,959,337,560,225,672,073,361,638,
574,963,638,390,012,778,169,918,078,019,569,597,869,103,788,348,794,579,051,
878,740,838,207,093,747,523,074,082,362,120,142,427,867,839,625,596,272,710,
501,728,823,991,461,283,015,059,243,238,535,747,950,084,669,256,760,106,115,
294,341,067,998,337,306,188,585,899,940,638,174,447,574,326,075,028,421,918,
577,144,183,828,789,749,204,263,351,743,711,772,779,487,038,791,299,867,341,
705,845,258,357,752,046,565,270,169,720,510,420,272,190,932,923,276,206,020,
498,390,411,689,330,546,660,198,247,422,487,514,532,326,189,454,028,793,863,
557,860,777,147,634,392,381,109,939,068,772,954,577,416,270,593,387,517,138,
722,277,778,906,342,203,309,159,596,796,218,640,671,053,132,304,448,563,877,
363,328,010,654,992,925,721,446,768,411,777,439,285,465,649,131,252,116,059,
507,271,932,366,726,617,093,967,929,875,617,126,676,038,792,570,523,435,055,
235,339,957,242,200,057,047,224,139,088,487,121,430,986,913,041,008,853,488,
930,196,325,114,450,754,103,536,390,046,174,483,513,874,813,979,919,003,579,
857,415,293,717,191,719,123,041,391,909,270,989,541,990,056,578,641,320,827,
821,266,600,050,067,489,575,374,033,151,993,966,306,295,303,436,391,914,124,
166,596,571,694,960,435,630,309,097,068,647,568,625,992,468,590,600,903,803,
470,131,872,004,184,571,516,123,395,335,594,638,454,430,567,859,618,304,787,
822,823,797,125,676,359,327,769,632,389,095,574,597,731,876,084,484,747,823,
594,728,352,726,309,025,503,322,489,771,143,807,602,828,863,164,169,651,958,
759,217,375,227,136,399,113,275,522,541,790,747,950,507,813,548,172,400,809,
376,009,480,368,259,389,240,188,445,494,013,323,570,566,761,236,989,025,377,
146,205,216,908,040,703,456,959,505,337,882,783,102,399,005,262,757,823,243,
061,374,095,347,260,650,743,519,505,056,732,338,192,404,381,925,852,659,128,
722,725,677,872,303,708,494,415,206,615,967,485,925,631,817,737,871,685,575,
740,304,303,754,723,446,672,226,298,112,775,848,904,531,221,112,856,844,388,
414,026,149,020,295,179,436,610,203,746,152,469,992,618,891,715,525,583,819,
611,456,692,531,429,139,050,864,649,852,299,713,030,843,494,648,878,380,657,
943,999,228,026,889,540,586,001,755,866,586,680,711,702,062,806,636,092,167,
049,987,061,564,905,194,545,192,216,095,992,758,752,130,774,114,363,085,353,
075,125,200,720,290,145,443,548,510,198,033,825,935,651,807,994,394,565,745,
239,827,045,908,541,103,267,931,348,040,400,044,751,771,758,279,329,291,070,
688,279,576,149,361,393,105,785,052,711,468,887,711,180,344,582,285,868,032,
804,169,376,637,385,026,088,224,320,048,258,455,962,037,538,722,078,721,593,
513,718,933,265,849,805,382,724,102,918,042,061,111,813,538,330,473,019,541,
142,761,411,868,621,765,255,973,332,894,465,614,919,781,079,785,791,668,039,
403,644,361,469,150,282,388,352,103,434,258,346,504,704,963,343,645,009,683,
552,963,666,263,096,381,732,583,939,266,726,410,699,471,403,558,168,274,071,
073,213,078,378,386,883,635,993,069,946,421,833,779,420,115,502,044,947,094,
498,217,459,227,928,310,958,137,312,653,160,083,323,860,448,629,072,801,075,
111,984,530,208,135,646,799,103,563,984,962,133,842,040,250,495,568,503,668,
933,608,584,264,286,920,896,899,889,938,298,435,663,057,900,676,548,244,303,
525,120,442,854,693,385,277,338,825,726,881,260,657,617,528,436,551,521,131,
293,920,919,255,312,822,301,303,472,266,492,808,138,208,566,409,577,618,344,
552,605,269,449,739,715,342,829,300,742,021,554,391,467,601,777,842,387,273,
808,545,658,465,826,623,718,342,632,665,116,551,841,027,523,652,536,200,368,
179,236,354,727,203,195,429,098,326,859,783,431,577,987,695,587,413,671,747,
173,495,868,190,515,541,683,634,871,761,965,113,980,975,972,257,683,057,857,
838,437,173,489,145,158,802,131,940,961,804,371,879,505,590,782,261,226,916,
414,066,989,070,614,613,206,433,991,404,880,252,436,355,218,919,862,279,341,
751,603,715,821,925,780,654,937,693,942,059,835,312,680,562,203,273,058,485,
009,000,771,475,494,008,035,866,008,229,684,082,049,223,158,294,254,674,024,
824,961,195,128,877,823,799,254,931,791,772,996,761,317,998,632,307,080,663,
382,248,319,260,270,631,309,604,416,544,858,743,145,126,395,458,281,057,182,
003,394,819,402,380,930,238,873,882,341,164,079,545,825,200,695,666,722,725,
360,679,362,041,464,881,434,017,758,394,303,836,851,827,078,768,922,984,507,
098,185,389,991,975,174,307,454,344,795,985,032,415,288,384,127,894,723,871,
961,481,701,511,309,939,261,347,046,508,069,299,376,726,619,413,315,297,359,
976,285,562,268,695,097,104,484,328,920,713,710,033,259,116,075,593,150,445,
063,509,730,125,094,874,611,425,933,248,889,270,730,882,673,729,077,418,612,
696,087,446,810,745,226,814,607,350,056,902,920,195,950,479,170,947,360,008,
999,755,115,840,207,316,156,341,835,928,428,965,778,697,092,437,352,970,576,
282,325,002,395,854,040,526,477,221,971,808,855,700,641,646,900,200,517,295,
455,603,973,779,028,580,517,754,900,220,964,437,221,675,611,894,740,765,987,
048,659,944,707,335,006,793,619,228,548,850,311,743,699,693,344,272,070,074,
607,982,102,895,975,643,214,971,638,811,133,779,036,400,226,090,107,946,813,
320,308,490,607,653,164,606,935,689,962,219,782,176,431,164,028,225,285,754,
477,939,421,901,516,192,056,955,216,327,678,150,607,034,320,514,011,125,522,
339,015,351,590,647,868,284,154,217,816,976,269,033,082,867,665,198,532,054,
584,592,862,131,407,097,106,724,803,177,468,311,153,905,117,401,765,414,875,
823,617,136,532,042,661,473,389,381,285,598,979,665,070,478,378,686,954,245,
215,569,186,405,091,594,436,944,265,234,248,832,947,735,751,957,856,193,468,
802,791,098,297,101,957,076,387,786,298,156,402,355,250,514,840,739,349,284,
565,865,745,109,434,194,626,995,807,541,834,169,295,763,732,518,603,721,112,
473,072,300,231,147,184,074,333,357,014,837,132,334,939,147,331,471,990,151,
503,461,360,529,871,668,778,044,514,012,671,893,104,946,282,245,869,537,006,
989,710,294,517,747,126,480,119,234,480,174,614,743,833,499,471,907,144,640,
049,655,650,758,867,762,688,676,688,347,632,343,076,497,558,949,448,153,786,
876,976,531,305,773,945,443,193,985,921,387,290,458,700,660,098,918,134,944,
911,660,353,292,343,253,317,379,780,732,810,458,910,416,236,027,038,554,384,
923,086,056,838,945,960,334,899,718,103,233,236,085,337,930,056,407,179,944,
082,526,019,669,170,972,110,179,938,005,750,393,524,112,483,857,598,346,411,
605,245,057,709,720,976,530,005,755,747,843,609,941,435,841,001,597,646,695,
720,893,601,023,586,150,258,666,887,835,856,235,439,195,410,567,844,995,177,
644,230,980,866,385,488,538,279,124,166,678,042,240,344,702,486,442,989,253,
385,290,798,800,420,281,324,101,316,999,869,140,604,968,880,675,672,074,991,
420,538,559,060,154,916,492,400,282,110,841,969,642,507,222,618,923,551,378,
101,733,900,091,580,397,443,243,349,187,579,690,320,860,476,173,439,758,972,
788,819,808,337,593,990,481,892,952,378,037,180,442,410,935,518,883,771,872,
361,799,411,902,746,784,125,922,460,206,478,717,238,619,621,113,178,903,452,
763,035,017,991,407,365,597,523,538,909,240,769,527,167,841,675,600,206,845,
041,908,619,185,832,625,832,203,249,416,494,309,552,275,257,303,198,641,481,
741,162,280,025,687,137,198,645,065,288,245,775,697,014,577,898,423,246,881,
862,191,815,306,773,701,891,796,089,694,450,993,926,090,837,610,627,524,838,
022,583,292,825,970,214,089,752,504,934,529,337,415,047,578,764,824,488,094,
379,431,890,783,516,033,679,960,514,471,245,406,925,862,413,024,873,036,081,
396,158,308,380,532,112,294,346,666,966,704,822,126,232,040,046,348,648,012,
262,847,878,599,132,468,128,621,639,629,454,793,652,120,636,421,839,113,105,
133,695,417,759,365,452,982,128,343,682,906,930,605,621,654,849,271,371,073,
817,784,714,853,053,996,344,401,971,571,587,244,539,414,866,252,459,922,408,
708,819,135,333,248,482,276,237,667,919,900,925,038,685,015,400,106,947,726,
107,985,163,525,748,691,762,325,689,231,559,140,612,581,463,131,670,329,419,
679,353,885,712,320,073,465,993,041,258,457,755,651,265,311,882,213,961,375,
360,667,456,331,292,830,313,110,490,373,977,413,663,347,719,939,369,826,050,
036,383,171,709,022,940,123,697,549,234,647,610,511,704,889,186,024,885,360,
330,289,923,723,565,200,917,830,786,858,944,591,293,008,274,470,221,388,300,
231,952,714,437,734,773,197,768,441,215,085,180,897,477,720,824,573,988,686,
358,173,248,516,746,984,337,770,707,589,181,053,930,552,210,114,345,083,136,
581,229,950,192,523,874,498,502,867,620,550,778,419,412,799,975,259,515,856,
790,911,842,187,687,244,525,281,734,341,121,959,133,177,431,335,696,349,291,
693,146,213,359,199,118,569,363,097,402,284,854,374,193,842,488,676,516,032,
921,814,203,690,193,393,029,636,124,204,788,626,232,412,943,984,739,235,504,
578,829,258,094,808,220,431,861,239,138,737,034,547,377,415,176,900,781,896,
468,187,325,010,312,972,126,420,412,467,033,066,600,760,184,485,900,505,231,
843,663,908,427,165,163,916,040,497,054,452,092,317,720,407,017,824,638,492,
246,150,456,144,305,798,324,163,340,097,251,844,059,866,566,266,649,780,070,
214,833,720,269,500,663,575,503,749,973,073,249,710,454,544,417,940,355,307,
734,647,966,714,469,347,641,311,481,102,821,013,944,282,473,322,655,811,716,
011,443,437,579,344,627,102,343,985,436,500,049,548,621,164,289,559,003,730,
693,176,544,883,740,278,657,227,462,689,218,091,770,636,316,782,736,454,871,
080,098,953,015,605,216,589,520,542,489,940,865,623,802,220,048,652,731,960,
063,277,618,095,627,273,177,369,400,605,843,076,582,449,818,179,282,531,711,
439,664,209,396,396,913,451,732,833,251,374,502,346,700,438,263,282,001,537,
082,562,840,237,689,948,435,984,065,401,516,577,470,054,936,645,835,766,047,
351,286,449,269,183,470,203,940,575,552,596,074,872,572,154,098,308,968,899,
706,689,938,826,611,232,289,054,097,683,302,112,652,625,498,318,236,875,543,
772,225,383,334,370,273,206,350,371,799,411,849,240,936,235,484,061,942,381,
917,891,142,213,132,736,303,330,331,269,395,833,600,223,257,717,691,184,992,
791,748,153,026,609,757,090,269,449,519,469,744,682,770,884,480,164,204,444,
677,997,328,907,324,807,986,977,093,156,640,258,852,482,607,097,155,640,952,
478,085,415,199,364,238,405,663,410,778,269,366,169,517,436,677,905,604,763,
640,675,624,869,276,979,829,876,046,859,576,082,849,737,198,290,068,149,784,
337,716,582,339,605,228,936,219,571,520,149,359,570,120,212,275,433,648,862,
792,219,287,759,105,844,212,328,265,346,010,655,631,193,904,733,070,816,932,
813,524,837,798,368,350,872,933,977,417,973,176,105,279,480,681,050,280,809,
711,824,671,737,089,699,157,474,741,283,308,417,808,970,327,400,778,026,169,
824,629,681,987,521,168,884,867,691,962,394,231,464,881,445,334,054,203,650,
661,130,171,181,933,201,743,377,100,722,776,028,030,109,884,326,729,610,574,
957,100,477,517,604,287,788,520,453,944,010,306,297,305,196,731,300,028,580,
114,011,283,239,209,057,530,768,363,368,500,319,408,491,104,974,656,839,667,
910,907,916,392,713,913,922,190,478,747,363,204,735,177,193,403,169,154,151,
150,043,026,164,978,127,564,653,476,326,766,425,378,702,588,627,365,836,077,
549,706,499,762,277,831,477,254,301,794,565,345,080,280,274,842,833,708,205,
034,726,728,153,542,202,642,959,146,065,603,293,075,974,016,566,378,977,603,
472,665,098,713,257,223,650,247,868,204,829,964,966,293,598,924,270,817,584,
243,731,083,926,044,505,289,400,224,103,565,199,654,610,988,086,748,706,514,
839,553,941,127,832,006,991,525,298,933,206,843,557,106,290,359,471,046,405,
206,443,513,197,649,435,139,700,778,115,833,349,763,690,362,560,437,795,935,
090,362,497,026,270,315,454,676,810,609,195,626,309,928,093,487,273,021,023,
361,816,861,072,381,647,621,963,918,312,801,652,860,492,653,976,382,736,160,
038,487,413,793,969,000,870,213,963,189,649,972,656,805,352,268,619,352,583,
149,584,481,185,956,186,760,465,710,060,446,244,347,303,619,121,006,358,274,
604,588,345,788,427,265,581,821,041,355,681,775,301,851,293,132,908,770,719,
368,464,626,291,998,064,265,021,720,172,135,774,071,568,424,097,828,044,817,
841,574,342,377,841,172,654,216,884,155,270,031,880,534,180,299,417,569,823,
548,650,537,710,734,454,604,851,483,435,865,359,542,160,276,698,116,878,085,
238,904,682,459,598,640,945,012,418,339,147,364,782,910,728,742,976,180,625,
276,210,785,297,494,444,733,805,957,006,712,900,094,378,264,621,782,901,125,
168,463,975,868,049,831,461,543,944,694,106,488,794,264,834,555,980,689,930,
926,278,387,214,508,758,624,673,686,485,332,810,342,710,892,042,102,916,231,
417,857,399,408,032,544,167,253,871,802,848,235,160,237,740,522,025,921,833,
218,367,561,445,897,702,593,453,614,895,273,331,079,680,595,915,055,244,931,
385,774,637,658,008,663,619,897,150,636,350,211,018,600,900,314,194,423,268,
809,367,718,946,190,917,095,927,182,509,560,464,554,422,590,592,707,332,678,
262,031,122,444,118,290,735,402,774,670,020,081,545,937,043,700,135,961,853,
582,262,109,674,422,090,741,162,956,614,205,984,335,640,012,809,862,624,333,
184,420,937,250,822,148,533,611,346,587,884,534,512,893,081,098,017,847,770,
484,020,860,585,377,091,679,486,374,251,938,440,669,150,931,423,474,032,052,
446,006,233,865,651,882,746,491,202,751,416,836,920,169,301,598,388,634,871,
977,357,687,665,990,786,456,342,733,176,977,854,286,002,000,480,858,498,745,
237,359,043,115,128,782,187,162,397,898,314,662,904,569,054,338,383,342,173,
229,370,723,421,488,296,855,712,722,173,534,855,315,552,644,833,255,698,369,
425,316,037,876,086,848,256,049,588,205,852,593,899,839,050,889,443,401,265,
149,462,155,500,093,108,374,622,355,750,786,006,126,117,867,047,998,783,332,
561,532,568,386,968,518,588,788,076,756,296,923,447,953,310,915,195,891,996,
587,299,700,671,568,228,411,548,020,707,063,635,880,938,519,488,026,436,827,
546,923,558,797,033,810,429,445,477,088,895,096,508,063,350,310,433,109,386,
568,624,207,718,113,613,133,831,656,837,387,282,237,505,071,897,936,366,049,
397,068,031,695,305,892,607,126,589,743,071,594,265,026,849,329,520,302,490,
993,587,589,341,785,628,538,326,255,424,918,902,823,978,349,167,944,470,019,
387,411,530,620,988,739,294,255,694,383,272,413,055,341,545,688,076,457,696,
489,439,065,820,754,638,580,383,327,293,091,831,184,464,114,853,732,824,604,
595,824,644,774,908,088,971,464,492,550,804,900,176,019,767,959,107,767,870,
079,707,072,233,689,124,735,079,892,431,302,506,048,802,936,835,299,422,931,
366,898,206,222,388,633,210,969,783,014,098,069,820,805,196,696,398,781,585,
881,073,058,509,676,960,130,618,075,117,282,498,046,672,795,302,697,794,550,
276,436,489,373,966,327,114,684,474,158,397,799,114,700,410,937,649,777,678,
832,456,082,273,241,693,557,707,974,245,392,505,428,890,526,385,006,938,303,
890,967,892,105,706,562,351,829,506,280,305,873,797,160,032,071,048,149,005,
380,368,275,926,997,000,527,970,379,739,333,814,108,719,140,741,175,557,600,
728,422,053,602,134,489,372,053,649,649,370,883,294,179,470,163,152,279,234,
157,249,785,743,634,219,060,990,741,629,351,358,448,779,171,640,442,501,385,
757,370,772,315,921,721,037,205,193,438,854,783,895,936,228,871,710,655,760,
803,899,506,706,372,170,999,031,114,141,737,909,068,712,025,255,899,532,757,
368,490,031,415,205,557,717,461,399,673,897,617,609,824,096,732,749,557,519,
758,292,682,173,459,194,840,240,470,611,080,492,217,183,462,260,891,375,866,
102,788,451,623,314,101,149,950,207,843,986,690,837,398,379,970,542,744,029,
144,422,435,317,957,394,808,290,804,858,882,218,300,742,211,463,564,228,210,
546,487,266,436,134,331,113,052,231,767,625,085,255,753,147,191,248,076,469,
107,193,984,779,169,516,735,410,125,766,429,370,432,954,275,186,191,227,924,
940,400,156,830,589,507,744,139,029,255,754,496,588,130,313,418,520,754,261,
523,218,073,556,300,694,095,665,052,496,151,749,225,290,738,684,433,266,713,
517,594,573,811,703,301,756,539,855,595,358,361,448,085,843,990,132,773,918,
664,644,679,511,497,034,248,644,299,971,185,133,494,933,762,388,379,941,045,
649,522,496,288,110,467,411,864,915,194,275,374,519,253,006,359,790,006,366,
459,665,075,569,791,515,619,806,552,063,660,924,617,448,887,727,423,252,107,
353,569,475,388,646,569,669,947,322,556,893,505,010,581,766,791,577,541,965,
499,989,112,626,203,181,674,449,307,775,395,509,549,820,709,631,506,745,084,
362,711,525,960,777,153,788,018,505,987,650,167,632,895,014,172,934,629,020,
420,433,451,875,324,695,924,236,683,738,662,283,991,512,568,109,618,609,285,
115,157,608,056,994,792,606,656,360,046,093,908,334,689,692,431,443,452,764,
260,075,039,449,429,544,556,606,287,875,104,320,553,232,441,897,104,494,989,
997,832,796,040,615,817,511,682,063,180,941,444,513,185,237,501,007,819,184,
681,262,131,768,460,119,533,133,873,056,487,275,226,901,458,018,340,345,458,
937,545,835,732,479,157,864,555,221,908,141,251,257,382,797,439,840,801,405,
393,585,089,883,349,663,230,026,930,418,641,364,994,085,053,179,344,323,416,
632,279,452,095,059,879,366,354,100,983,226,738,752,310,312,898,048,705,360,
738,338,219,134,551,308,032,046,406,914,968,181,640,696,411,658,967,527,458,
752,193,186,326,545,214,990,125,985,088,478,216,935,827,254,695,926,929,617,
087,084,529,739,803,791,955,433,376,256,417,906,945,128,074,994,167,981,907,
739,414,374,536,641,575,354,848,843,570,816,555,609,024,174,271,041,148,922,
964,534,744,572,000,556,323,396,091,021,170,612,939,062,775,643,630,654,914,
219,538,108,590,583,830,378,772,512,411,895,240,690,942,557,694,395,964,043,
720,452,382,638,224,383,428,850,184,324,936,250,303,669,716,605,758,524,938,
958,894,807,936,794,567,750,831,819,298,124,932,583,055,514,481,314,993,129,
464,618,093,410,302,141,568,918,893,399,901,590,495,477,296,382,406,723,927,
163,125,811,854,444,260,536,431,655,855,007,365,409,766,223,193,649,561,971,
267,715,044,672,689,422,212,544,365,198,134,191,953,882,031,429,187,646,703,
207,967,905,368,885,552,318,349,266,581,250,734,858,609,709,958,527,493,088,
913,531,522,183,460,057,318,624,597,032,220,200,189,023,378,871,310,752,685,
737,125,587,132,238,292,516,662,950,286,386,899,713,323,729,168,392,515,546,
517,111,974,532,999,612,152,837,193,823,534,799,467,574,655,046,948,561,223,
373,743,491,497,264,687,776,282,560,261,948,318,269,076,987,953,971,110,405,
662,196,963,659,028,767,307,559,888,817,459,386,484,863,501,654,076,173,164,
137,947,266,468,919,529,510,044,729,000,069,809,719,665,097,944,357,614,107,
191,163,377,918,207,677,504,798,446,357,585,814,422,350,425,516,867,841,607,
911,685,780,667,981,208,644,241,793,740,412,096,783,375,612,966,919,298,489,
429,127,728,967,807,125,372,786,537,855,619,270,135,658,213,443,639,360,612,
461,534,645,107,244,354,751,323,247,197,107,530,431,883,841,731,795,749,328,
729,939,890,607,762,310,078,438,853,512,591,485,433,404,965,528,350,012,803,
356,699,043,855,175,868,769,584,034,782,785,623,015,038,519,181,931,291,271,
274,599,427,638,025,180,402,071,368,090,537,615,039,549,179,231,403,114,742,
771,372,945,937,861,190,727,838,586,968,374,816,944,049,968,610,738,241,458,
257,740,058,585,598,483,180,421,457,709,773,439,155,680,095,066,422,737,441,
785,850,697,829,513,841,297,402,689,325,828,970,991,921,017,407,043,978,215,
175,416,618,932,401,931,493,805,286,757,382,957,635,698,802,936,911,508,331,
266,899,484,905,546,868,113,917,806,148,976,629,536,302,334,782,772,794,731,
571,807,669,456,745,686,093,516,497,694,138,107,237,731,916,698,967,147,385,
475,097,788,969,142,454,433,718,330,581,627,070,512,927,315,855,638,688,942,
344,524,389,563,945,383,953,930,560,143,826,246,293,209,319,488,061,841,159,
913,734,870,727,934,318,092,673,522,055,617,546,929,834,346,688,580,884,008,
245,054,530,336,324,811,375,350,130,847,959,684,383,327,673,262,206,484,400,
674,245,808,818,458,975,870,999,991,040,245,266,065,193,555,425,807,666,687,
340,247,013,049,070,365,497,874,456,090,433,801,958,152,392,931,169,072,445,
061,543,160,665,718,636,920,060,913,916,863,463,849,500,335,090,292,919,431,
623,485,126,966,260,977,825,086,520,951,183,911,906,294,321,828,922,701,712,
280,374,737,590,842,904,625,970,365,555,815,212,856,393,855,225,294,154,814,
657,564,169,843,106,886,001,994,885,708,773,496,487,084,143,699,593,268,435,
138,965,918,118,280,129,260,138,330,952,170,979,695,384,946,945,631,881,866,
397,744,967,277,144,245,069,509,263,907,336,029,256,545,449,563,377,677,102,
782,492,412,743,348,033,381,926,997,374,621,637,995,957,590,368,962,529,052,
852,168,660,533,498,378,227,890,064,472,711,581,186,810,050,501,560,587,217,
094,232,784,726,574,942,601,453,213,174,702,319,444,877,871,346,576,779,264,
472,653,823,144,800,351,515,393,754,476,811,540,242,174,334,592,016,334,346,
065,891,670,711,125,154,721,523,673,210,435,683,556,173,437,487,398,683,676,
017,246,980,990,595,315,194,448,327,513,045,252,525,259,493,793,095,527,210,
221,141,680,375,973,527,105,737,159,257,040,344,513,396,128,332,158,722,536,
484,905,659,269,396,243,225,885,633,122,925,199,485,556,671,731,231,055,825,
050,007,413,099,299,272,102,708,276,589,594,101,853,303,709,165,281,276,317,
246,536,223,681,217,574,265,770,429,129,218,270,121,958,688,213,782,459,738,
988,597,859,919,393,098,812,651,735,682,629,392,692,288,779,424,659,941,660,
468,444,742,137,970,463,061,815,155,250,434,307,558,040,782,468,036,731,324,
530,741,357,703,618,449,499,517,933,269,586,421,755,022,491,774,972,347,800,
670,428,847,176,261,540,770,538,746,258,671,256,676,173,988,751,132,224,669,
190,235,866,312,139,117,403,888,525,932,441,167,552,870,218,869,062,415,750,
559,509,820,210,936,561,671,002,402,020,029,399,800,963,395,092,897,578,638,
384,628,985,885,482,534,080,442,409,777,885,951,098,460,017,470,207,719,201,
943,795,521,658,842,555,693,180,347,706,375,679,160,909,227,605,253,185,854,
390,948,058,851,499,064,671,456,633,135,267,667,029,045,052,938,684,555,444,
810,135,436,903,734,049,276,175,227,839,286,165,477,866,373,536,180,203,151,
286,629,322,397,178,249,630,291,832,940,926,833,653,104,046,035,957,309,952,
256,525,805,744,396,476,170,247,930,172,987,602,007,918,372,053,212,623,523,
903,032,125,116,771,370,047,280,310,343,340,131,938,592,611,773,521,751,471,
280,722,586,962,049,844,695,767,520,372,582,356,197,042,392,046,317,842,298,
816,201,052,294,435,091,068,493,454,928,885,514,027,835,715,271,150,270,047,
914,621,350,710,519,960,369,691,739,627,871,351,416,840,854,685,776,060,925,
253,429,679,711,700,499,771,175,241,349,632,421,611,507,058,731,350,242,309,
286,936,704,718,963,622,059,249,646,376,613,364,074,554,058,299,512,320,143,
765,312,696,435,248,218,921,225,432,675,238,874,827,447,664,373,045,424,344,
307,527,819,394,215,869,142,747,312,244,811,756,848,871,513,981,683,225,741,
263,561,087,140,626,310,599,686,362,993,028,872,570,760,372,494,438,502,051,
270,699,883,985,289,005,479,214,941,974,923,137,920,661,950,741,238,382,639,
470,196,294,346,762,761,673,002,347,975,283,484,713,335,967,540,539,598,328,
400,298,597,074,671,194,986,669,655,373,451,844,981,130,927,606,311,557,384,
564,439,575,484,595,909,869,327,765,135,011,168,840,755,894,773,024,443,861,
929,008,557,143,758,122,399,884,751,323,292,232,753,561,732,659,252,771,695,
333,635,246,119,513,386,366,926,418,177,012,722,450,632,474,717,965,109,652,
947,553,405,885,419,449,959,196,372,100,848,757,923,907,420,739,725,177,762,
749,384,648,108,051,574,869,611,129,566,282,745,451,811,528,328,503,312,512,
600,120,420,978,901,175,735,914,633,023,838,811,798,705,286,861,801,378,498,
171,908,117,001,498,260,933,908,511,614,723,323,334,250,391,551,665,160,323,
906,578,620,677,057,949,611,863,541,728,295,767,160,921,737,886,599,073,374,
143,367,970,813,889,608,565,435,602,735,548,377,435,171,347,462,732,687,637,
483,762,071,528,039,918,715,915,186,330,783,927,088,891,249,435,730,903,181,
897,383,828,814,136,742,008,556,774,852,433,465,084,598,483,449,311,236,503,
651,665,854,518,283,887,850,464,431,181,891,623,745,740,549,772,748,538,239,
999,769,791,585,177,812,463,327,442,758,190,261,655,608,174,890,802,609,669,
450,472,617,464,917,430,817,471,595,361,654,972,141,303,479,860,980,198,022,
356,172,188,864,407,182,970,817,345,603,351,043,403,010,864,131,210,446,899,
040,427,738,707,112,030,766,331,055,331,185,341,277,699,733,856,532,221,112,
404,487,060,521,860,487,336,683,475,128,417,516,611,083,071,948,384,214,812,
417,305,793,781,629,490,383,821,555,488,085,392,135,139,337,726,217,079,378,
334,578,304,547,763,398,835,935,519,920,080,850,808,460,472,215,371,605,627,
809,269,985,700,786,384,440,113,537,242,747,059,857,086,003,789,891,615,656,
865,067,913,902,451,073,409,834,276,906,670,776,903,947,885,073,108,657,895,
614,201,240,316,032,439,549,434,498,380,911,090,069,956,783,144,392,963,376,
967,495,655,364,822,812,109,865,164,875,540,566,695,487,783,030,352,137,115,
572,718,301,186,141,482,323,491,822,482,145,771,688,367,631,023,356,594,910,
204,694,931,876,453,221,536,158,768,309,468,701,942,298,944,278,062,851,653,
366,386,117,734,062,686,833,802,083,640,798,372,602,061,619,910,094,374,909,
886,081,664,527,469,519,651,029,022,477,915,061,161,707,376,323,261,257,670,
992,137,270,457,185,029,572,341,893,787,824,674,235,029,828,748,429,362,060,
337,334,062,411,556,671,205,898,175,383,101,038,381,896,802,928,651,718,374,
312,786,198,899,662,918,183,247,084,954,613,738,559,470,786,824,580,072,778,
066,298,298,058,464,175,475,771,221,582,743,483,047,623,378,745,775,570,248,
572,892,426,991,601,472,615,282,645,829,240,736,211,653,818,400,724,768,081,
503,176,234,895,065,701,919,400,677,925,471,803,718,482,750,384,062,709,778,
866,217,259,482,558,139,149,519,233,388,005,886,408,838,155,216,005,322,039,
193,447,762,162,117,059,801,758,525,859,011,405,213,340,483,873,722,436,478,
613,458,332,132,278,046,289,698,986,305,480,772,745,897,508,581,021,881,500,
158,507,955,825,166,023,596,721,743,004,598,308,062,566,982,620,661,438,992,
972,570,217,593,764,770,468,658,560,838,965,029,959,514,497,582,501,843,078,
757,301,219,367,691,063,048,495,657,406,839,624,370,615,047,772,022,144,902,
839,948,071,981,967,344,747,072,903,529,740,161,256,915,993,673,948,221,207,
275,380,121,160,322,058,125,163,340,786,270,046,177,850,503,649,013,226,159,
087,967,111,168,779,245,187,006,279,728,685,211,839,251,235,555,006,205,559,
555,480,274,360,192,767,824,213,756,062,529,998,302,455,095,569,806,163,702,
630,237,023,947,669,745,654,601,228,515,297,479,330,677,746,827,039,813,579,
565,016,891,827,387,910,663,527,456,594,712,092,708,111,029,820,426,724,065,
208,890,731,582,797,834,402,434,952,397,331,312,622,472,667,881,867,566,746,
237,582,857,300,749,355,337,637,469,036,029,586,511,054,535,418,281,897,950,
820,409,120,601,438,114,686,234,674,062,909,429,403,384,891,171,306,866,499,
957,256,450,449,657,737,440,252,441,727,637,650,294,890,261,196,584,829,377,
261,755,014,813,293,159,880,269,016,868,701,217,605,019,980,352,460,854,912,
206,788,930,239,165,500,836,232,535,250,321,841,387,547,775,119,363,298,811,
916,450,401,829,776,945,046,971,434,635,914,847,914,898,730,002,489,150,497,
649,871,843,873,592,814,512,211,557,471,340,488,801,764,686,455,609,687,324,
397,958,598,516,558,129,631,845,355,662,921,526,626,455,530,780,872,360,579,
875,527,008,268,252,756,546,060,774,078,336,159,984,896,161,252,745,822,509,
695,837,026,137,870,879,677,351,464,978,077,175,459,073,949,777,721,707,462,
885,830,815,447,592,570,655,585,077,493,527,088,844,011,438,242,649,601,483,
726,330,683,843,594,456,823,691,142,396,468,755,838,051,892,818,029,754,317,
519,641,468,343,169,170,281,432,279,802,672,555,668,777,794,044,369,634,798,
399,417,787,871,116,335,163,399,820,480,434,841,793,407,134,430,698,605,279,
475,136,947,849,770,542,481,262,541,593,373,993,332,164,760,681,923,955,975,
259,706,113,062,858,150,656,107,082,847,082,966,186,527,178,571,966,071,953,
579,832,451,219,683,523,663,489,288,115,759,794,460,829,400,808,011,391,791,
230,075,706,159,922,623,518,945,739,309,078,938,657,953,429,252,274,968,837,
134,527,606,709,882,323,422,810,395,167,640,852,909,964,450,741,227,800,597,
624,725,890,377,411,082,392,439,924,906,963,231,189,262,525,320,308,785,939,
522,641,523,082,049,671,783,953,028,015,487,783,800,555,560,737,522,665,716,
763,516,058,519,150,376,748,948,231,163,506,202,048,073,712,140,716,571,789,
777,085,739,437,722,916,431,122,944,663,554,128,208,131,810,885,147,435,553,
152,400,217,034,287,777,232,345,803,206,365,961,013,710,743,336,492,071,542,
389,695,377,101,676,701,191,880,018,165,375,606,166,319,689,449,012,847,283,
041,970,748,000,478,707,539,762,187,603,893,529,729,149,856,720,741,580,951,
813,281,306,307,337,285,227,639,474,200,807,507,434,963,298,191,888,573,163,
359,274,614,701,159,761,810,637,728,001,699,520,299,671,206,043,896,071,596,
649,019,878,882,279,125,457,589,459,048,622,354,232,847,384,008,897,950,602,
105,578,914,579,519,664,567,062,133,069,845,634,373,265,381,443,195,563,484,
790,556,808,515,290,147,131,953,776,757,332,381,016,046,473,457,753,734,155,
173,425,778,586,545,003,182,864,604,509,034,593,887,306,742,707,140,283,011,
953,722,668,651,801,214,341,513,577,217,462,195,178,700,135,010,891,193,481,
745,801,894,051,980,087,751,217,729,558,004,957,003,335,512,711,176,494,206,
913,388,567,062,676,898,602,300,010,290,906,551,321,593,010,513,480,496,491,
641,083,314,226,846,614,487,938,865,546,911,660,531,429,343,195,985,821,455,
823,538,272,332,500,934,717,794,842,047,084,026,715,706,449,398,626,657,111,
863,297,623,622,220,983,782,645,709,542,494,800,791,342,148,143,270,488,273,
004,189,057,208,279,422,687,273,511,285,936,220,771,283,331,046,772,051,441,
789,677,697,177,484,662,387,754,839,462,397,795,555,469,867,287,197,082,698,
027,110,922,788,481,521,901,965,475,768,211,239,370,541,483,777,630,197,942,
985,059,027,150,111,482,363,581,969,528,287,069,730,059,827,056,586,781,217,
111,063,460,304,538,005,199,572,355,467,909,207,090,416,967,762,337,700,345,
109,324,219,267,452,475,522,114,410,966,783,382,112,810,379,583,592,273,681,
382,851,770,556,089,648,333,887,025,750,703,286,659,947,272,864,430,299,545,
449,912,631,635,817,119,219,898,497,560,647,189,966,278,543,241,099,580,405,
383,725,850,712,182,133,010,137,061,975,088,700,480,023,886,843,511,281,112,
960,973,560,357,674,818,312,687,207,955,182,377,506,832,831,986,375,550,950,
225,134,553,585,372,069,329,303,130,488,672,144,914,838,169,233,047,033,127,
725,739,176,167,675,576,077,444,451,425,971,614,016,167,833,695,657,211,973,
216,204,613,730,150,118,282,536,188,077,032,930,417,922,029,822,822,726,159,
492,216,116,707,019,422,438,466,578,243,474,864,164,077,011,784,565,959,481,
127,115,792,750,222,296,878,919,783,222,138,778,145,748,006,822,238,048,436,
081,111,606,281,708,799,550,904,395,014,393,334,844,642,254,374,867,983,933,
847,975,483,801,018,422,472,523,345,412,771,934,145,225,274,962,547,435,689,
797,290,869,827,927,143,437,956,078,541,316,498,131,766,801,500,311,436,620,
646,186,716,109,150,928,791,936,465,002,685,390,295,152,172,501,794,572,874,
009,970,494,020,169,312,281,959,120,403,256,369,109,862,760,278,586,439,940,
385,986,265,558,785,183,031,119,162,381,128,922,710,798,640,357,748,098,888,
395,240,470,045,817,985,871,623,806,583,703,492,205,936,204,499,178,529,334,
312,196,554,706,107,171,408,041,244,265,346,062,811,766,020,264,381,670,647,
392,820,435,699,262,417,978,875,767,030,236,662,496,356,076,193,007,165,099,
564,855,734,396,323,024,545,244,414,959,502,346,107,065,987,860,365,162,335,
851,666,081,564,710,793,067,673,562,392,423,181,586,080,989,179,929,934,850,
697,137,890,852,372,970,329,336,262,861,250,293,934,542,396,896,829,234,106,
068,500,884,535,084,788,912,819,393,676,649,104,997,064,946,729,393,953,574,
505,204,731,818,488,111,379,035,595,120,997,580,346,844,928,029,959,352,509,
099,087,207,680,479,697,873,338,014,135,764,209,453,893,146,285,611,788,276,
556,353,068,472,997,645,060,388,218,191,040,165,996,735,231,061,730,688,619,
037,401,670,120,720,827,102,524,443,967,511,729,770,884,249,377,129,804,813,
080,645,238,744,780,887,090,958,848,695,373,335,420,651,140,618,981,238,212,
727,029,244,769,475,652,176,650,080,203,677,360,073,632,312,458,338,953,314,
851,808,657,348,295,736,930,414,049,440,504,789,017,287,170,249,722,208,730,
869,779,516,493,008,536,662,930,526,817,967,607,724,850,258,545,700,084,366,
478,738,652,508,876,377,879,507,355,292,201,189,284,920,724,906,072,571,219,
727,164,085,017,028,103,493,444,474,182,737,709,051,563,840,725,476,359,475,
028,980,890,942,513,466,872,878,547,862,733,389,124,153,371,042,387,046,347,
556,235,725,563,977,026,563,378,183,179,425,939,309,429,825,022,909,514,721,
047,714,860,447,244,390,055,850,832,992,443,987,689,514,585,934,671,953,474,
566,178,102,981,392,964,404,654,092,980,375,736,090,967,862,301,920,199,523,
682,866,327,162,034,841,568,571,545,801,797,147,966,138,906,119,624,978,158,
690,655,509,396,583,113,114,199,352,888,291,447,601,910,073,606,109,067,837,
381,330,972,293,768,156,050,007,539,101,709,487,626,355,526,075,630,683,407,
283,680,188,763,244,253,655,923,349,288,690,557,535,745,453,461,103,521,928,
592,543,234,554,785,510,808,181,844,553,660,040,057,914,527,007,158,753,637,
211,507,436,787,389,751,278,114,285,736,437,771,319,100,648,115,064,231,314,
595,001,313,034,599,813,569,740,946,372,382,504,331,975,449,499,058,242,253,
803,430,439,599,294,849,442,656,762,883,116,081,027,822,648,190,603,735,838,
078,369,204,490,869,525,112,309,293,408,478,301,355,802,347,764,037,233,671,
471,523,395,804,565,557,483,740,174,245,278,813,594,095,796,100,578,447,352,
841,819,130,968,879,720,261,352,423,705,524,545,393,689,972,258,964,110,786,
412,449,263,207,027,762,360,857,836,539,890,651,560,705,597,984,723,455,592,
385,683,086,512,129,825,694,709,474,607,399,321,503,220,247,099,622,450,956,
726,187,086,053,123,075,306,244,597,471,240,615,596,019,198,465,624,023,061,
812,779,110,881,480,341,024,479,566,386,006,512,025,367,998,856,043,344,370,
279,495,876,220,872,354,425,674,609,217,513,862,973,612,450,732,137,500,620,
695,075,657,803,655,278,452,818,119,272,911,249,894,150,707,865,612,260,530,
403,976,139,910,324,502,751,602,077,929,092,751,966,665,549,838,277,592,705,
971,742,866,241,215,467,452,103,220,758,770,060,342,387,753,903,049,407,673,
917,005,004,221,053,534,088,910,807,383,852,433,454,072,634,318,471,174,080,
080,322,146,457,686,988,086,623,328,277,796,599,960,605,869,173,287,600,797,
268,653,248,490,131,791,587,920,527,837,128,183,878,907,090,872,455,986,028,
854,783,184,937,159,458,343,768,767,437,486,441,909,945,398,824,461,642,916,
622,937,366,492,565,092,502,560,855,478,863,174,065,597,396,671,044,890,989,
725,679,968,395,061,976,288,983,380,135,593,940,003,679,490,065,418,486,611,
213,150,832,706,272,270,515,447,773,743,549,789,699,472,234,226,120,092,779,
277,935,475,905,978,886,738,952,870,585,043,438,833,121,110,215,632,580,187,
272,386,244,365,913,989,097,677,628,194,148,765,257,950,483,286,815,874,149,
467,287,709,069,567,988,911,629,911,731,097,250,462,160,843,598,449,168,846,
529,729,324,421,349,168,221,029,267,048,504,577,348,667,412,532,499,651,607,
338,865,434,385,637,423,346,812,052,794,058,560,584,307,673,602,171,161,540,
711,671,504,954,027,721,699,217,656,441,329,537,469,336,729,773,477,019,012,
568,211,772,818,567,173,382,298,816,559,899,854,339,164,309,762,733,635,027,
490,975,123,881,533,497,916,052,345,849,074,131,270,800,881,858,731,579,703,
944,326,358,977,994,464,288,154,883,823,385,926,914,131,102,029,045,006,719,
572,839,299,339,293,034,195,403,274,453,773,578,459,641,229,298,786,363,538,
197,080,662,401,182,266,768,167,344,349,416,304,261,184,141,333,415,279,529,
741,705,206,795,769,122,871,915,716,941,380,714,889,311,053,151,692,282,732,
868,792,760,455,027,624,066,353,603,651,886,386,092,866,836,985,900,842,814,
455,946,355,879,820,196,838,131,675,555,174,970,091,318,786,212,899,003,499,
895,946,652,285,264,669,519,952,541,918,896,442,760,310,832,355,701,667,319,
326,836,271,166,883,442,291,466,364,169,509,814,708,530,203,166,566,756,179,
874,825,375,379,242,750,858,976,118,478,612,509,820,100,114,862,364,604,728,
847,762,214,117,407,830,234,630,760,490,895,945,671,267,096,948,699,890,927,
251,244,533,817,761,369,596,463,381,451,309,259,190,099,191,481,825,987,307,
660,775,623,348,128,401,129,968,829,937,088,810,031,246,249,457,802,044,535,
879,098,291,723,436,462,333,104,144,994,756,847,170,885,039,561,843,763,400,
151,493,373,955,001,328,185,102,583,807,673,901,826,157,495,001,954,573,042,
687,593,795,241,613,026,060,922,718,328,344,355,877,373,500,625,944,534,166,
913,731,025,035,367,619,584,355,715,703,101,546,517,698,347,125,668,455,826,
034,030,020,200,033,501,362,558,298,184,053,879,612,077,836,913,504,234,422,
129,833,007,719,353,974,247,908,382,129,530,866,985,371,396,950,149,523,310,
865,562,728,228,355,610,045,765,430,027,467,868,814,611,711,576,838,331,442,
125,825,247,055,611,700,242,010,445,282,721,607,823,266,640,894,588,602,101,
502,234,735,567,320,451,763,468,610,775,059,529,428,699,208,480,476,524,890,
692,181,679,226,819,988,371,335,904,240,025,989,817,603,252,206,407,942,594,
632,881,351,347,630,226,636,251,235,163,220,515,498,665,387,230,337,645,785,
251,524,479,528,807,675,506,728,457,914,285,717,325,539,822,381,256,418,942,
601,075,841,483,498,068,298,587,932,487,965,293,518,099,936,303,101,548,408,
082,656,327,837,653,345,766,350,708,722,135,435,985,402,033,448,688,955,801,
859,172,982,307,497,050,009,014,561,213,341,092,727,754,291,477,362,425,756,
803,162,042,953,195,603,570,469,087,762,524,381,973,349,442,635,929,727,203,
269,875,580,819,953,168,182,005,056,347,542,625,345,325,966,968,408,960,580,
634,064,922,823,025,334,011,006,598,530,479,744,810,039,420,879,611,118,997,
521,502,530,413,447,644,524,085,610,054,810,059,896,239,608,994,457,940,410,
226,129,856,042,279,528,715,289,502,401,435,439,138,669,255,194,265,434,979,
123,281,925,366,915,124,129,870,716,173,957,391,398,535,754,919,607,983,183,
819,701,251,173,782,355,918,799,388,122,797,514,710,589,637,153,256,657,495,
607,464,103,303,354,366,928,758,432,801,444,705,330,794,502,995,693,754,731,
335,567,598,792,154,357,480,268,161,881,560,040,064,994,142,515,992,895,733,
192,555,877,013,114,527,806,740,555,667,948,766,086,701,172,380,859,325,949,
030,140,371,435,372,799,787,150,682,791,074,030,224,768,099,046,250,077,973,
035,529,915,038,365,237,482,410,960,847,641,465,779,169,427,742,326,933,203,
436,105,071,181,934,078,412,624,815,780,988,332,164,257,128,610,899,731,718,
630,015,986,062,391,623,029,402,817,332,253,771,367,598,302,336,683,169,337,
238,525,681,104,245,068,420,367,784,128,026,701,134,307,208,385,386,737,805,
234,195,059,928,580,161,188,507,540,255,612,463,107,032,007,237,707,339,212,
543,374,855,047,437,140,414,927,817,857,928,039,546,353,998,498,458,245,604,
860,927,482,653,705,631,529,051,028,977,908,526,955,276,008,509,511,563,868,
262,393,878,693,325,129,208,752,959,035,503,925,935,067,633,008,438,778,718,
322,865,410,489,566,560,721,079,032,208,668,531,984,371,245,017,253,559,588,
627,582,709,766,631,711,311,381,050,919,307,458,391,741,677,341,296,204,203,
047,781,735,436,064,730,214,608,265,523,009,113,958,524,441,826,517,820,032,
690,963,464,025,948,615,773,447,354,851,997,235,612,528,349,465,296,584,372,
195,250,511,471,798,307,231,783,113,951,976,730,012,076,244,255,894,818,605,
663,045,642,350,434,918,659,908,383,600,577,744,541,683,668,998,901,505,823,
951,100,509,712,007,291,349,956,180,218,868,947,825,516,994,849,461,119,535,
678,046,642,264,922,802,361,433,733,231,527,551,444,590,636,008,537,631,190,
028,343,036,906,907,514,340,745,658,364,278,788,585,790,028,844,033,893,434,
111,597,623,906,759,986,183,031,085,431,080,674,170,950,521,281,470,430,890,
366,175,363,332,584,519,802,325,975,294,314,183,294,623,929,904,534,192,774,
687,905,662,000,407,091,870,765,433,832,324,230,786,625,852,827,207,439,634,
234,823,477,117,985,906,560,787,165,310,590,957,795,108,522,420,257,351,095,
657,298,751,966,539,905,764,490,374,444,066,332,692,614,920,430,921,056,449,
940,629,409,151,570,362,957,274,661,303,254,809,042,026,646,031,004,494,636,
515,923,779,605,347,794,206,270,588,364,409,569,078,521,336,590,762,930,744,
142,025,657,484,430,690,691,544,562,491,038,065,083,103,329,663,924,595,697,
057,252,207,576,320,736,277,022,266,540,159,879,681,862,597,403,082,643,191,
012,533,078,305,961,383,084,718,016,771,350,846,413,967,797,527,101,112,655,
007,575,494,783,398,804,556,033,539,373,623,570,619,751,736,166,102,518,354,
395,753,905,373,343,655,133,974,871,896,229,736,124,406,134,784,615,919,986,
473,508,218,545,796,736,329,787,383,283,271,489,436,389,472,392,357,205,850,
641,696,738,734,444,765,851,904,403,531,710,276,573,064,685,537,414,255,366,
473,383,702,756,119,088,352,005,520,079,186,241,833,748,064,937,732,587,470,
527,104,410,169,406,170,627,969,814,620,762,984,952,211,815,655,175,801,812,
969,050,389,225,778,580,790,522,630,578,295,351,315,063,485,088,852,049,512,
244,182,078,306,022,861,248,765,149,791,032,892,092,033,974,079,013,624,985,
140,325,643,008,300,520,402,847,352,525,926,715,812,422,774,822,171,932,644,
020,142,286,101,820,597,811,215,332,043,827,744,706,964,563,683,362,153,910,
140,996,015,910,416,750,094,668,879,127,994,642,982,597,168,624,777,017,523,
515,114,943,640,876,787,931,405,153,996,258,000,108,064,681,933,013,203,244,
667,469,971,542,568,528,060,733,908,550,150,055,382,021,254,202,751,976,462,
584,396,266,065,759,734,385,478,461,521,630,366,855,750,162,958,304,170,512,
253,245,196,743,552,175,418,039,064,861,519,814,190,149,518,751,229,481,895,
862,523,491,477,120,780,551,714,209,449,667,121,966,766,375,599,342,505,863,
724,781,742,476,067,377,772,768,107,883,056,251,093,676,773,996,739,867,646,
571,372,349,693,708,236,557,843,156,629,994,246,174,708,399,118,411,489,952,
057,981,700,765,672,091,427,493,969,491,911,535,389,379,609,414,226,734,499,
425,620,752,325,678,049,168,711,616,478,026,327,684,316,767,836,317,361,776,
619,055,891,864,319,030,681,231,498,256,048,440,780,639,288,667,704,890,562,
325,190,201,301,779,812,603,884,992,535,225,458,739,675,341,394,830,104,824,
549,444,469,435,895,759,573,507,280,423,882,734,055,011,154,646,268,742,191,
629,052,035,768,889,266,108,001,375,125,851,201,043,064,869,942,018,627,206,
964,566,769,476,985,135,313,240,292,407,641,109,995,433,100,279,023,435,018,
667,215,491,110,960,951,868,931,336,383,275,721,584,751,286,400,943,615,309,
179,660,921,610,833,634,619,014,176,722,312,200,938,361,239,054,673,324,151,
929,452,460,746,399,136,656,292,754,727,153,098,862,043,565,696,205,160,905,
443,514,489,807,506,908,965,476,569,685,691,612,664,817,929,347,633,816,616,
852,566,322,525,394,777,347,500,707,014,142,130,463,470,585,328,729,546,214,
294,870,424,613,767,081,371,314,938,639,107,183,853,008,722,865,310,308,174,
958,028,984,083,291,984,622,372,561,014,799,404,976,776,556,310,801,619,004,
207,488,142,145,112,472,704,312,638,734,960,370,731,170,348,517,622,560,406,
968,426,455,655,234,197,926,474,654,581,610,442,417,290,773,320,686,980,367,
068,427,924,529,486,207,263,002,097,108,706,916,202,955,930,548,656,572,112,
758,069,922,651,982,186,913,855,465,499,718,491,029,179,036,169,462,339,530,
355,775,657,337,401,170,589,162,962,158,976,847,972,460,034,102,432,647,169,
194,028,902,835,152,918,398,015,880,890,042,939,614,569,887,225,324,552,455,
604,101,135,064,567,673,963,948,082,670,198,498,268,577,137,112,243,240,057,
992,816,573,560,451,528,144,764,742,789,822,009,119,977,819,496,465,621,964,
543,668,034,053,919,037,705,797,066,538,889,470,406,260,363,003,035,106,497,
675,435,274,396,391,942,549,646,493,443,382,708,670,834,132,939,176,592,298,
023,242,448,542,168,647,098,928,749,574,483,385,671,511,307,304,664,542,014,
913,801,443,122,230,955,778,189,188,855,150,569,795,288,890,681,719,769,125,
282,473,358,392,966,790,644,081,800,443,392,202,273,048,525,547,189,881,082,
432,169,186,909,219,767,134,332,056,654,782,738,909,652,438,545,469,254,172,
576,360,334,860,390,921,032,016,860,307,764,046,275,417,500,555,469,569,196,
325,776,987,380,996,479,607,165,554,184,274,820,800,300,092,092,953,189,141,
853,454,529,328,012,017,135,190,635,947,822,296,918,680,800,013,962,877,727,
610,327,005,056,831,971,254,697,099,100,309,147,368,175,369,815,265,224,748,
146,886,875,254,130,595,944,181,829,155,819,675,371,233,913,394,871,419,347,
025,917,969,518,155,491,945,146,326,395,867,828,166,694,663,110,250,401,617,
011,526,581,903,495,395,167,945,932,537,161,794,349,522,955,656,981,250,936,
224,293,171,857,201,099,160,267,492,819,105,212,482,344,148,462,664,341,769,
665,906,250,956,770,334,948,856,144,682,124,118,325,050,249,684,230,671,516,
787,894,557,471,385,097,878,261,105,688,298,649,401,811,561,477,239,615,569,
864,923,858,079,207,887,848,761,387,578,497,804,639,611,090,871,419,702,363,
247,598,395,475,028,606,889,828,202,467,419,889,263,925,808,762,017,752,895,
652,837,114,688,443,557,343,595,133,986,594,677,600,596,769,875,165,300,024,
823,345,464,451,898,069,199,546,460,712,062,839,154,771,355,749,633,006,722,
228,428,584,982,661,231,559,503,961,906,782,107,819,898,429,915,731,595,402,
275,996,843,916,077,409,726,483,111,046,910,974,837,139,779,749,128,097,307,
397,831,757,029,735,627,555,171,712,931,859,953,461,211,503,213,664,319,838,
722,461,443,036,376,324,550,709,027,815,417,674,498,733,209,071,824,439,635,
338,030,748,634,927,622,990,702,536,095,805,007,281,988,682,733,557,214,875,
402,515,700,112,295,511,739,840,447,388,183,967,495,128,611,246,112,618,268,
189,591,394,794,548,544,344,937,580,156,817,741,723,407,277,559,253,125,487,
007,918,066,775,843,147,158,884,969,570,946,761,591,024,445,435,804,809,398,
389,195,337,686,346,633,822,891,450,995,524,953,055,319,409,881,478,643,263,
167,427,511,097,710,932,902,194,031,700,588,283,792,139,102,801,156,684,877,
554,907,061,739,229,022,309,241,357,621,929,678,317,534,613,143,227,546,826,
344,815,032,489,912,970,217,458,025,342,956,753,488,886,383,297,620,208,317,
606,870,689,340,012,455,194,450,219,518,721,907,473,659,122,336,635,525,536,
391,446,680,749,795,124,242,625,655,138,491,945,842,507,637,482,881,187,646,
108,157,626,673,488,772,108,467,594,554,164,124,887,757,535,752,927,411,911,
924,178,715,976,045,371,603,652,564,783,691,685,327,491,288,434,398,329,538,
671,808,353,436,940,964,038,596,746,581,614,994,218,053,162,536,744,597,162,
349,139,004,070,752,964,134,739,001,427,360,162,268,571,520,223,433,968,429,
286,060,007,588,737,839,990,496,130,639,524,492,274,575,700,993,738,007,881,
793,199,887,326,055,263,194,566,735,836,144,650,737,046,890,258,523,482,762,
646,563,588,625,072,245,114,930,907,957,169,283,809,800,742,874,809,774,775,
507,760,545,933,505,257,461,294,823,138,118,042,120,373,641,978,620,655,682,
619,572,393,793,681,375,579,541,725,748,260,839,628,786,501,312,213,635,744,
789,862,920,821,918,595,596,546,424,075,288,514,673,227,820,386,799,213,570,
914,726,611,386,358,964,998,391,319,014,788,930,239,753,678,463,429,833,555,
315,566,750,401,004,467,120,469,922,371,804,303,964,336,824,531,374,631,990,
311,873,718,843,941,488,953,606,403,070,089,510,972,490,377,216,063,496,005,
013,843,889,646,685,417,004,272,718,681,073,574,656,348,094,043,134,480,563,
970,291,781,538,556,971,435,783,753,971,710,027,728,446,103,952,929,322,650,
004,895,373,450,948,967,754,185,355,541,127,291,045,096,633,567,089,701,873,
631,731,973,974,995,323,920,737,927,183,508,669,352,595,024,353,033,083,886,
014,576,122,061,703,927,947,371,372,131,702,044,015,170,233,346,502,005,475,
369,805,827,080,199,914,483,912,466,495,267,050,256,020,257,193,213,772,632,
169,076,613,962,986,060,796,459,496,009,076,149,737,288,693,679,877,698,554,
648,931,531,320,859,172,956,793,886,629,330,141,745,861,338,498,684,841,670,
791,906,196,494,327,832,047,794,208,823,249,140,705,493,812,224,375,199,513,
519,724,681,780,892,178,718,262,407,362,567,369,464,076,282,513,847,355,437,
870,465,878,193,050,053,907,468,781,690,768,371,533,393,209,543,356,305,962,
012,447,691,324,633,397,412,683,551,875,067,677,173,611,446,365,527,216,251,
025,156,091,560,175,613,705,136,401,770,583,742,312,947,242,821,381,387,317,
349,523,619,594,407,785,297,457,534,726,266,761,500,021,483,297,199,445,029,
614,767,548,388,322,643,470,250,297,403,141,789,241,117,986,413,756,167,107,
258,683,740,508,974,676,420,082,547,991,687,259,876,720,701,660,292,077,035,
043,095,487,927,550,799,292,633,175,618,314,937,296,808,690,874,136,427,824,
630,606,920,941,603,596,081,802,762,608,383,335,691,235,084,596,513,078,452,
100,436,339,748,829,704,952,358,760,390,741,754,250,811,405,747,538,299,353,
775,005,904,867,852,053,266,402,284,084,372,546,206,298,668,355,570,245,198,
402,917,914,199,871,950,056,814,685,709,553,670,619,412,190,506,905,060,106,
292,992,132,611,515,931,223,173,474,583,214,162,732,600,604,656,012,948,897,
957,967,422,891,195,474,525,233,149,608,760,901,384,335,867,528,105,464,483,
660,436,313,478,489,288,455,280,150,828,567,848,485,688,707,592,877,386,133,
636,305,549,899,125,561,343,715,068,841,824,337,426,952,109,672,775,564,601,
363,639,384,102,203,116,114,456,980,898,341,359,076,338,631,827,487,805,952,
278,199,039,885,408,302,962,289,083,723,982,441,790,191,119,817,496,471,844,
297,031,024,345,303,984,171,546,929,883,479,958,189,263,240,273,861,765,515,
104,864,126,898,185,742,226,792,278,103,571,427,046,019,855,731,427,375,015,
853,073,718,109,074,988,922,527,273,193,396,582,226,500,246,062,363,296,053,
946,063,642,609,474,170,233,663,460,193,654,876,150,901,457,793,409,678,528,
360,470,108,784,396,991,137,212,032,353,176,734,108,972,340,237,432,087,659,
317,499,824,421,021,352,316,121,935,406,323,779,058,575,799,107,151,810,941,
537,551,846,265,933,868,094,089,584,284,508,622,371,248,065,691,984,849,780,
155,414,785,575,315,786,738,601,420,716,375,268,283,669,167,602,649,258,531,
751,356,064,533,194,831,301,822,067,247,996,197,445,189,349,604,219,348,542,
970,424,992,599,559,730,285,472,090,010,418,431,030,059,515,272,905,000,673,
247,039,908,563,598,133,727,162,594,847,532,364,596,630,105,935,515,968,702,
180,236,813,563,502,531,179,092,202,179,954,637,838,725,102,923,293,211,838,
678,117,385,611,393,863,346,962,541,171,774,861,091,730,267,886,472,403,410,
844,272,602,936,760,511,755,584,117,980,651,775,194,173,307,153,263,285,991,
410,669,104,475,644,459,356,454,408,601,469,964,844,792,901,298,019,989,127,
271,409,054,035,119,972,035,266,454,959,564,411,957,482,738,119,008,254,934,
929,782,165,921,917,954,967,840,168,487,632,853,005,070,600,221,186,088,940,
581,855,686,161,761,147,999,300,358,441,533,594,288,655,650,088,415,440,375,
314,332,116,439,269,128,701,130,293,197,512,115,719,353,080,123,207,583,530,
228,871,789,169,422,733,504,162,158,078,099,485,186,223,879,889,126,444,907,
274,291,466,459,105,839,804,749,677,967,240,600,356,935,284,520,564,699,315,
235,491,237,365,374,718,846,779,669,445,664,274,287,193,939,563,003,608,186,
887,176,482,325,228,349,434,613,232,464,937,306,572,150,477,354,145,485,851,
624,387,586,719,437,866,188,876,256,935,601,252,412,354,035,848,255,281,056,
446,759,704,609,867,366,972,868,500,588,310,754,403,392,098,829,651,000,764,
932,435,845,567,042,466,926,935,820,143,564,224,693,843,498,948,859,338,040,
925,613,636,360,074,607,407,341,103,389,571,509,632,976,743,697,986,537,198,
885,613,367,292,516,677,700,656,935,432,522,843,001,684,997,623,461,261,594,
867,351,798,578,258,140,195,458,153,919,081,113,122,711,471,130,591,849,965,
436,621,875,125,627,807,009,665,298,575,669,510,080,970,777,214,298,892,959,
290,726,947,700,024,546,709,318,026,419,101,313,510,543,291,886,085,154,423,
361,161,427,658,795,766,560,478,175,928,083,261,931,847,130,309,163,151,402,
864,406,152,491,547,349,494,887,414,191,399,795,869,078,532,609,786,324,544,
833,667,198,709,840,086,438,746,040,567,517,169,142,872,683,812,190,051,028,
632,876,162,073,244,365,912,021,148,752,555,821,872,438,258,776,732,480,940,
555,987,734,030,603,400,434,331,058,349,856,466,197,235,752,538,830,273,410,
384,153,006,310,457,880,296,217,798,832,986,246,200,596,948,641,506,494,909,
391,251,586,019,930,949,884,843,615,625,303,047,087,973,798,379,384,583,843,
202,771,903,425,975,196,985,105,901,421,470,956,592,561,935,198,212,593,408,
200,971,391,850,319,639,385,159,886,118,672,574,939,896,608,145,681,670,315,
296,824,031,262,829,939,831,309,425,880,905,962,650,862,480,264,415,808,202,
274,962,333,787,690,146,049,248,234,640,023,222,995,840,052,822,204,898,057,
315,824,633,227,461,447,948,828,824,749,517,624,583,442,886,212,751,343,465,
693,010,812,011,420,026,343,427,267,732,269,336,073,903,472,707,960,587,914,
796,118,205,721,803,217,585,008,078,714,706,999,897,222,772,863,233,557,104,
684,957,408,596,612,929,596,244,522,995,350,995,930,158,155,188,622,546,220,
517,145,369,002,723,709,043,260,705,863,623,162,370,144,330,504,425,135,323,
038,230,854,583,350,577,732,593,812,451,482,098,453,243,509,766,664,616,876,
616,161,774,811,938,344,238,772,908,946,817,586,126,746,855,322,115,864,276,
246,597,243,628,402,837,567,347,120,016,354,745,329,424,997,551,170,830,059,
689,033,276,850,773,890,305,942,791,402,599,230,927,951,587,859,566,068,196,
911,247,736,437,025,847,266,371,645,104,130,426,636,015,211,721,360,692,927,
307,910,112,761,483,348,853,215,498,487,602,824,068,279,736,248,236,353,604,
275,481,207,275,090,456,832,097,955,479,568,926,339,366,720,953,677,966,221,
973,003,144,602,519,635,116,101,743,311,115,509,678,541,145,050,697,971,415,
345,160,713,942,316,788,812,736,619,698,897,158,333,083,924,833,037,604,649,
383,685,905,108,209,755,944,674,305,903,099,203,736,771,651,264,338,103,588,
907,962,902,401,143,837,137,808,936,807,045,554,157,182,297,903,669,981,643,
819,119,471,937,136,765,096,839,598,467,390,160,699,426,646,652,071,029,547,
631,945,658,486,321,384,790,658,122,133,721,976,789,963,032,077,034,385,808,
329,131,252,205,117,563,931,082,549,668,943,935,741,375,385,909,797,890,532,
903,855,340,236,398,400,592,880,624,021,723,997,812,024,200,631,234,329,590,
557,422,704,630,143,656,664,631,604,116,795,973,584,589,308,995,931,136,225,
436,483,492,041,774,875,558,406,664,270,929,599,789,383,770,517,479,337,079,
745,610,555,327,563,633,411,155,051,752,779,311,914,230,474,123,779,902,175,
803,936,464,806,284,676,775,556,727,678,124,095,003,640,871,427,006,351,725,
055,205,271,163,920,711,965,561,556,057,094,062,538,998,727,543,240,019,854,
194,853,419,646,274,990,013,160,702,966,360,722,710,547,315,338,975,454,749,
460,034,825,711,187,123,410,166,067,702,174,217,277,934,012,674,817,423,043,
195,117,633,877,880,595,773,974,483,619,185,091,324,709,028,372,904,383,786,
099,037,670,743,386,070,386,835,420,632,462,283,720,803,657,458,115,665,057,
095,508,909,890,368,554,680,909,540,334,846,372,309,833,522,832,326,754,396,
068,375,788,002,384,051,844,513,061,900,246,274,232,122,220,749,595,925,858,
569,912,788,437,479,762,935,433,364,293,718,159,988,441,454,354,949,594,185,
878,629,064,289,583,291,530,675,403,533,346,238,644,021,347,363,562,033,703,
508,554,845,570,836,692,944,877,380,056,522,789,202,810,155,230,001,324,668,
230,326,444,702,793,571,827,881,653,841,600,063,734,346,474,477,123,834,148,
890,989,816,017,224,973,261,794,066,382,226,930,951,535,881,718,952,672,601,
243,326,532,681,839,615,264,047,192,374,927,157,550,772,598,401,033,613,268,
639,568,385,863,480,014,327,712,603,285,616,766,128,476,040,368,911,191,161,
576,322,271,937,607,795,269,069,015,825,864,330,085,027,786,230,470,591,721,
562,049,958,449,966,973,494,640,274,024,556,840,009,816,258,939,887,653,099,
566,837,965,907,928,523,266,388,761,765,694,532,860,033,474,121,367,489,712,
302,346,552,380,849,820,291,688,625,257,379,082,414,348,748,452,418,670,003,
289,082,952,732,583,661,422,835,626,551,413,420,267,040,609,686,338,902,274,
140,381,061,095,922,922,592,196,326,795,592,106,203,360,271,364,365,810,005,
651,776,409,006,264,420,354,986,866,956,982,252,013,916,405,102,712,208,304,
462,590,142,982,617,081,605,737,355,257,445,152,278,753,592,134,832,825,992,
882,859,983,487,468,671,893,138,217,188,360,368,210,576,323,580,618,813,499,
632,876,362,517,005,176,895,415,237,283,187,039,205,641,213,738,421,291,652,
633,392,458,794,260,744,006,319,870,424,480,330,732,429,198,208,150,803,724,
055,679,246,940,458,795,399,349,876,335,865,254,528,241,381,900,620,019,462,
728,311,393,533,574,249,455,240,046,923,254,889,688,994,456,910,393,832,161,
050,445,471,853,938,186,945,777,725,983,364,491,222,054,218,676,850,492,639,
944,365,811,907,639,027,834,043,899,983,604,110,490,268,737,707,349,258,800,
146,890,081,602,852,705,970,042,207,910,736,543,652,708,118,613,053,799,947,
086,855,083,330,871,813,680,328,238,522,288,800,255,959,199,890,737,797,382,
058,613,424,037,346,568,690,060,763,076,862,792,280,087,842,249,401,460,504,
342,643,595,222,904,741,469,907,117,532,994,826,938,792,807,922,615,468,480,
954,124,360,214,616,021,324,282,158,872,817,088,691,676,842,852,917,180,436,
099,706,591,298,849,872,521,442,276,668,899,390,839,742,732,925,590,160,515,
244,535,786,319,934,647,839,671,725,126,317,332,338,107,475,004,360,077,392,
908,370,945,063,526,289,244,958,367,415,052,302,198,913,623,553,035,854,825,
231,554,510,504,747,868,442,197,616,245,078,568,861,750,451,870,692,335,520,
825,697,373,017,356,808,903,244,034,335,773,007,633,287,293,191,276,926,426,
899,024,491,385,175,589,548,596,737,846,944,501,305,152,294,194,208,776,781,
334,091,867,604,166,293,117,032,766,456,940,577,468,617,153,388,261,789,821,
925,372,720,484,712,339,835,486,695,116,410,453,610,569,277,248,947,374,757,
382,175,579,805,282,753,600,689,258,178,829,135,718,136,157,562,730,338,943,
854,784,213,314,928,356,461,282,354,194,597,788,688,497,205,402,562,839,900,
183,536,813,564,414,236,378,960,379,138,879,488,095,074,407,785,250,243,836,
104,277,627,128,469,974,657,374,565,600,187,221,486,817,189,380,743,166,412,
685,846,075,854,733,518,568,334,641,935,786,138,901,874,415,791,940,105,919,
568,876,077,385,147,748,141,571,786,580,046,295,489,108,639,474,979,903,455,
987,086,982,970,543,186,746,280,661,025,453,165,339,981,359,873,423,513,607,
749,986,798,877,342,433,043,665,568,983,123,042,698,089,101,263,139,321,568,
281,240,444,427,681,339,261,912,011,443,737,668,147,324,787,789,705,069,535,
726,947,106,409,470,427,911,303,383,531,363,188,492,075,424,042,454,597,614,
745,548,488,645,021,026,555,334,244,366,867,376,518,480,379,581,077,356,304,
598,390,344,852,561,184,019,688,234,609,774,392,593,745,577,552,304,647,145,
848,938,660,418,734,071,902,852,857,720,678,410,744,445,504,298,813,959,849,
453,213,793,125,412,652,996,621,718,305,098,415,459,938,579,253,488,993,571,
468,926,025,431,873,264,174,620,963,100,535,065,620,621,533,573,385,715,787,
670,618,017,811,562,239,503,793,681,631,581,456,419,444,299,810,432,501,439,
748,228,608,671,497,641,310,315,787,841,157,306,037,136,916,476,889,585,898,
572,388,345,895,465,997,147,071,004,182,093,703,315,589,321,700,396,808,128,
441,812,602,201,423,230,866,671,927,054,316,688,005,966,775,262,642,139,922,
647,061,244,951,421,804,704,777,439,115,465,582,638,106,075,681,028,209,553,
071,355,804,447,396,981,190,723,304,632,826,080,731,878,671,048,267,813,681,
332,089,131,766,732,843,271,933,228,032,832,662,700,420,381,581,637,230,150,
271,339,541,623,662,101,107,470,402,824,808,164,691,264,156,260,157,501,889,
126,819,319,050,347,818,253,737,178,182,417,150,983,007,720,975,644,760,693,
752,436,975,538,290,964,076,543,498,550,409,847,429,020,343,976,082,074,134,
121,563,102,108,045,440,108,110,664,764,619,035,137,087,708,089,264,491,506,
026,908,134,439,676,167,226,674,532,366,758,355,581,371,407,307,163,759,967,
820,542,830,474,709,526,285,636,183,674,127,615,104,864,697,346,696,991,624,
835,514,569,426,620,317,392,935,630,162,520,074,720,239,003,148,245,104,182,
749,834,272,753,278,188,801,877,137,968,874,669,118,299,403,381,268,127,463,
655,009,702,376,336,016,273,362,698,350,715,318,953,866,107,284,315,201,704,
561,359,978,205,086,758,285,862,367,106,471,734,846,098,443,290,356,907,403,
296,320,571,818,731,794,563,789,161,652,033,049,969,337,427,882,568,106,357,
779,644,497,531,515,557,180,575,124,013,863,128,853,008,947,347,894,293,885,
935,312,570,201,430,308,401,746,275,227,736,140,700,084,645,633,189,520,120,
648,787,569,138,608,590,096,421,936,560,081,612,792,209,671,030,656,222,153,
562,989,164,168,715,215,761,388,114,930,765,871,778,509,336,094,158,972,855,
163,502,453,001,765,849,959,985,380,717,245,270,642,762,133,527,145,130,541,
447,280,890,041,898,722,242,297,101,849,267,601,066,628,946,369,435,318,844,
538,289,707,408,192,428,993,811,546,070,706,218,182,722,441,816,605,105,117,
102,813,548,418,165,748,170,634,156,570,821,889,938,452,221,907,630,084,006,
886,725,988,960,328,346,162,651,279,428,318,373,261,179,761,658,031,988,675,
609,452,074,981,222,919,680,078,632,143,254,251,225,803,480,575,804,518,490,
438,259,611,613,272,128,239,345,488,604,229,209,392,937,482,547,452,786,928,
625,799,910,314,715,252,503,608,655,504,067,585,562,027,014,687,892,065,755,
195,418,107,836,170,022,732,430,769,987,243,908,673,186,866,550,581,644,365,
042,629,043,603,779,027,177,971,404,535,876,969,999,721,953,360,395,784,057,
498,975,766,081,206,293,103,993,256,894,846,702,349,269,971,348,661,266,006,
878,221,035,555,732,373,435,027,081,572,914,575,538,758,431,291,143,702,686,
084,401,170,238,408,717,224,872,251,455,107,638,223,764,922,737,418,394,140,
019,006,256,921,480,534,219,788,310,389,834,827,256,118,988,750,626,332,960,
389,988,942,920,033,266,337,392,203,948,583,614,009,305,520,983,906,227,076,
809,760,847,721,528,496,540,056,749,743,396,260,263,434,041,317,024,029,351,
617,916,654,369,083,814,351,050,840,562,778,231,438,311,929,464,001,910,384,
496,835,355,970,052,358,495,276,572,734,126,544,222,891,491,846,550,301,675,
695,264,416,831,331,934,546,581,820,621,696,391,284,163,939,784,509,441,997,
841,102,170,652,660,659,159,980,060,838,753,815,922,659,303,606,236,445,576,
273,866,176,947,253,693,250,485,730,959,557,829,126,359,626,072,883,620,177,
498,680,367,538,662,899,212,507,214,336,457,090,073,650,772,314,509,894,570,
509,970,285,946,362,453,293,657,641,416,565,469,726,215,858,810,822,894,223,
670,286,348,845,327,518,874,728,644,722,919,965,834,156,315,361,485,118,739,
986,099,981,112,576,292,318,579,717,705,599,229,404,779,212,164,672,518,952,
675,262,672,790,001,364,712,144,667,329,772,755,483,704,288,557,458,380,463,
799,398,347,772,243,077,791,369,415,450,845,501,927,014,641,239,188,104,090,
696,002,179,711,097,093,293,855,801,785,221,770,447,215,197,088,806,655,354,
615,017,769,440,132,949,619,080,333,774,437,367,145,072,527,162,289,097,384,
970,609,636,458,398,749,243,761,429,589,652,824,173,442,500,423,764,214,910,
052,135,913,097,278,733,181,006,752,322,591,254,111,407,077,068,629,294,790,
600,278,625,682,465,134,714,067,949,665,145,247,603,318,124,504,614,253,095,
897,636,996,488,944,187,240,648,363,394,440,621,200,567,436,346,962,264,498,
191,565,885,527,028,483,191,075,706,636,023,611,209,133,661,107,045,138,357,
105,462,021,235,636,584,781,575,291,841,354,488,920,800,913,663,141,970,789,
268,271,660,437,262,218,086,173,588,466,219,491,799,305,036,094,947,448,113,
976,734,895,126,484,001,718,809,855,152,439,388,379,881,143,407,962,564,935,
231,539,639,935,885,762,303,302,091,421,871,374,820,258,722,889,824,908,229,
639,249,404,052,309,440,245,292,705,445,467,907,880,262,260,737,005,132,357,
857,370,976,030,440,094,059,953,679,855,158,271,471,090,782,170,838,105,958,
794,729,103,362,928,401,039,056,561,868,739,144,709,155,831,852,333,425,033,
900,119,579,254,529,114,204,200,803,628,816,218,461,493,652,402,970,099,916,
277,169,442,758,495,285,872,401,523,303,745,291,864,181,393,984,009,945,584,
870,185,937,974,332,147,744,521,197,381,371,629,542,105,617,977,010,224,664,
154,626,462,829,290,924,485,538,799,144,568,462,532,447,071,741,209,414,366,
448,360,219,543,713,322,448,201,837,447,194,870,248,206,158,597,361,359,686,
943,970,460,420,664,394,702,475,621,587,373,692,802,573,564,083,569,510,787,
955,544,982,546,682,625,638,230,031,993,576,220,122,133,374,750,441,309,058,
760,846,003,697,607,420,988,295,488,385,558,896,064,120,130,525,663,402,310,
034,268,502,229,451,149,403,747,797,478,176,603,187,189,717,041,443,415,487,
692,876,622,698,760,172,929,444,118,374,180,861,612,145,116,319,311,695,785,
159,052,701,953,545,331,922,701,471,102,432,282,780,934,713,945,952,814,609,
415,651,928,298,529,083,335,014,239,481,416,800,151,606,431,814,342,874,037,
188,719,752,647,332,032,662,691,480,932,125,749,312,269,410,688,809,692,936,
615,310,050,011,771,672,008,704,826,714,189,674,835,015,183,578,435,450,528,
809,855,800,531,555,634,503,658,132,654,013,180,376,910,758,614,905,551,511,
216,496,659,332,912,883,158,150,318,890,872,222,006,904,549,926,918,378,754,
481,888,522,998,822,248,022,656,550,767,540,464,323,095,152,129,816,637,401,
097,944,726,324,994,880,204,744,809,565,874,936,053,279,405,006,942,195,663,
698,679,038,223,698,396,222,106,138,610,383,381,233,957,898,058,910,344,436,
397,124,819,782,848,953,231,012,445,045,255,089,049,790,256,788,630,174,534,
310,517,500,349,306,641,598,636,266,340,913,620,197,007,449,979,031,862,997,
737,806,160,414,482,565,684,478,919,088,732,080,116,284,799,281,443,227,523,
270,622,621,777,268,025,886,150,495,057,583,543,265,443,434,251,647,386,837,
573,494,253,756,941,732,103,338,972,941,143,728,410,275,653,168,161,011,772,
213,699,255,132,571,745,044,038,450,978,021,353,648,724,063,044,263,824,501,
453,373,343,235,294,682,773,647,639,254,123,289,473,789,451,651,605,367,595,
165,564,953,007,262,478,995,045,861,952,870,640,949,758,457,891,537,613,058,
303,698,700,345,576,977,736,717,619,339,674,871,217,872,833,988,675,302,837,
422,527,512,569,623,967,812,108,367,123,591,837,242,469,267,305,203,349,924,
305,044,528,345,255,356,753,178,734,531,069,206,010,659,876,566,486,921,192,
483,999,265,358,819,252,853,682,430,249,614,634,680,709,761,301,976,773,235,
095,867,480,153,257,036,342,067,335,818,307,399,883,879,038,735,367,579,898,
826,642,296,165,385,332,450,588,044,460,054,322,721,851,404,367,985,900,117,
236,599,455,625,437,516,981,090,176,185,226,771,694,996,417,827,373,537,321,
636,932,033,333,685,043,575,387,355,116,214,578,010,201,543,803,205,576,766,
201,250,022,667,388,950,114,391,475,067,535,695,563,643,004,520,984,139,267,
160,947,851,595,567,244,138,293,839,627,679,859,057,801,052,408,864,601,116,
984,270,345,375,726,132,198,617,489,978,119,725,915,907,061,341,716,806,161,
626,304,911,736,827,351,171,439,942,085,761,077,564,608,008,883,945,613,940,
933,334,922,923,735,646,786,822,524,631,629,215,772,756,559,181,190,142,717,
797,346,024,369,048,544,516,815,099,772,970,904,949,522,166,438,318,842,952,
789,516,666,678,654,724,880,729,411,111,361,246,267,367,901,002,288,850,323,
565,454,840,394,305,581,638,118,461,412,242,719,460,214,710,023,117,535,202,
923,674,524,753,335,839,390,037,057,994,786,866,701,488,826,843,692,642,707,
616,098,943,273,131,534,263,195,867,057,481,843,651,224,150,850,823,349,646,
686,323,832,135,058,991,175,342,079,996,793,703,834,121,286,787,986,171,105,
651,922,679,115,625,038,069,242,518,971,969,095,921,538,149,781,823,417,384,
732,767,749,854,500,898,358,334,046,105,941,821,707,467,894,012,120,916,897,
487,000,842,350,527,411,986,422,207,558,486,198,043,914,375,303,901,920,253,
838,454,895,029,980,803,201,306,447,051,578,185,272,601,454,122,391,935,138,
881,276,309,397,606,725,005,733,043,704,816,803,938,792,720,049,230,421,123,
014,518,863,421,444,000,208,672,715,769,658,759,977,026,439,769,139,835,696,
488,599,999,423,253,255,699,820,928,563,215,007,987,511,855,882,869,395,981,
792,842,430,062,458,215,239,500,367,797,967,763,690,563,266,210,475,194,172,
336,485,961,714,171,440,518,543,884,852,691,368,780,948,620,095,469,430,698,
679,854,400,671,004,643,904,104,577,811,825,364,691,636,975,449,339,780,329,
364,282,415,365,677,255,441,451,751,800,378,102,162,237,026,507,440,196,169,
276,122,160,175,865,044,310,691,557,490,574,605,955,021,335,228,686,144,162,
679,754,266,716,959,985,825,812,960,853,154,954,651,519,668,270,462,336,048,
442,788,337,365,352,865,323,419,024,395,913,110,006,224,916,708,628,788,336,
499,653,160,053,176,909,401,519,041,138,438,029,344,083,199,968,402,267,423,
399,999,635,406,138,446,917,475,939,356,036,168,957,712,391,366,890,481,292,
880,801,464,642,923,196,689,161,964,586,966,609,464,914,246,559,317,135,110,
936,648,849,705,110,472,044,833,472,175,444,844,517,527,503,116,530,524,397,
692,086,690,829,067,267,015,973,269,330,021,472,139,719,364,491,697,207,874,
266,364,622,885,828,535,598,001,258,474,973,536,920,269,942,653,184,557,951,
346,031,219,744,139,885,308,973,564,552,324,998,762,659,997,135,249,191,643,
081,046,679,566,868,009,704,042,049,381,376,989,439,626,857,453,772,351,088,
419,101,108,353,441,236,615,760,025,021,466,824,391,931,396,085,558,412,799,
247,220,846,257,826,707,264,943,615,736,982,813,022,253,319,953,813,224,626,
679,272,852,228,140,939,735,831,862,074,832,084,198,173,473,651,654,693,009,
576,559,505,968,021,721,382,535,352,151,469,203,393,604,023,138,841,663,631,
632,393,707,957,687,898,264,093,988,471,209,767,891,672,062,318,346,080,813,
969,439,388,274,067,808,301,660,346,871,114,610,789,301,521,304,500,076,944,
683,570,065,050,565,609,000,927,268,879,848,026,407,717,356,531,908,660,429,
147,982,196,603,501,331,009,753,834,787,944,708,360,731,069,993,951,607,149,
621,114,103,065,224,820,145,260,879,153,023,841,254,243,238,212,133,091,966,
933,986,456,992,991,967,550,730,533,625,007,683,469,560,659,937,417,471,742,
986,600,589,857,861,658,224,962,898,168,544,847,393,530,777,416,594,787,442,
034,431,539,077,565,785,871,134,972,871,552,586,260,127,011,469,392,729,021,
942,845,762,819,995,597,097,129,993,199,862,273,908,656,288,006,750,508,087,
304,633,301,499,332,280,994,056,544,878,832,962,555,446,463,035,785,962,275,
619,634,641,667,983,771,362,605,152,128,750,039,906,977,120,690,547,133,180,
666,264,330,552,524,629,619,361,150,928,877,515,914,422,097,230,460,512,052,
129,917,899,163,900,927,308,906,163,469,110,692,105,335,784,776,495,965,987,
944,656,671,542,271,025,247,429,088,134,986,384,071,087,817,229,342,295,456,
130,864,292,713,907,909,770,288,651,691,719,371,016,235,227,087,428,039,651,
428,320,334,379,397,306,462,629,395,707,491,371,399,398,717,367,779,561,882,
520,447,836,947,814,387,122,707,659,586,113,626,956,601,716,779,609,186,853,
121,869,632,610,218,387,041,373,161,622,844,133,953,573,494,702,445,086,482,
928,205,849,523,184,573,578,897,172,204,812,755,841,893,104,979,473,769,164,
674,863,042,856,400,244,915,269,812,968,338,130,766,239,768,489,678,977,380,
756,898,686,762,072,977,570,131,021,289,460,523,189,071,212,296,073,355,995,
879,500,972,590,170,481,803,130,817,100,962,306,493,577,116,269,829,489,808,
436,567,044,172,659,943,017,806,676,640,118,085,028,846,552,727,548,222,267,
538,751,029,415,074,611,127,584,746,070,108,909,865,462,754,068,023,183,358,
446,038,331,228,498,744,680,525,640,641,110,198,594,572,359,744,051,893,497,
396,436,930,747,530,724,481,525,204,275,551,688,160,626,852,500,919,180,607,
090,342,930,583,906,155,166,677,125,682,186,341,367,424,396,200,421,272,701,
029,016,047,968,687,647,684,433,316,766,716,106,935,172,500,175,466,234,270,
717,339,801,435,033,579,166,349,847,416,785,757,788,651,759,554,386,308,723,
879,405,383,260,480,521,869,742,954,174,703,717,278,471,468,596,897,243,969,
039,473,483,296,910,803,348,452,910,488,290,219,674,068,861,555,767,052,006,
448,646,165,664,989,280,152,406,383,870,710,576,735,231,353,934,767,347,692,
979,398,740,501,416,841,591,783,061,937,631,641,730,601,649,791,617,011,684,
939,639,272,479,234,711,807,333,869,740,783,431,002,486,501,758,103,371,250,
883,855,845,726,147,899,837,628,633,382,775,311,750,961,860,769,160,431,210,
195,998,703,992,898,023,984,867,868,136,525,542,979,613,323,266,691,383,808,
664,960,270,052,316,065,167,489,615,812,382,673,978,737,213,417,393,488,867,
278,044,740,219,701,665,209,214,409,315,861,501,016,792,972,640,637,029,137,
333,785,778,828,415,899,243,761,417,078,420,343,800,288,007,155,081,906,939,
314,631,312,219,743,477,569,168,078,763,995,256,827,913,153,604,266,991,536,
412,890,264,866,321,846,291,873,401,281,191,393,614,025,435,941,054,586,998,
504,433,421,761,865,866,602,697,207,237,720,098,748,721,992,610,012,070,980,
359,844,678,021,852,537,392,316,063,432,053,039,315,223,360,848,743,636,428,
875,724,606,945,504,153,404,984,104,506,984,402,133,748,959,183,459,243,748,
449,539,992,533,769,728,766,244,143,092,317,867,711,378,621,601,930,183,311,
182,876,142,845,814,944,720,544,966,208,080,430,138,290,194,543,479,827,092,
884,247,475,274,880,000,239,972,385,259,102,716,767,699,734,451,982,605,833,
718,084,462,315,953,452,105,197,742,885,977,724,595,087,527,743,571,061,009,
512,065,962,018,138,063,711,344,678,697,208,486,916,050,026,726,437,144,134,
990,816,864,573,200,937,560,291,816,342,708,574,584,078,207,362,663,285,203,
241,515,630,348,603,823,042,909,883,505,674,821,721,361,562,995,747,602,532,
585,963,434,851,082,712,240,555,667,209,327,776,369,652,110,440,639,414,725,
794,265,871,881,363,792,095,909,056,426,218,045,878,393,695,488,585,071,348,
018,258,895,136,460,585,250,880,518,736,883,759,379,451,680,522,608,318,701,
318,765,060,671,522,487,759,582,473,498,073,731,645,108,471,849,284,454,024,
960,756,310,403,913,858,050,900,635,080,068,266,011,859,066,624,137,929,327,
246,895,615,428,330,657,521,508,362,790,294,630,455,157,491,797,871,884,903,
090,640,831,814,267,533,349,966,850,778,271,808,901,182,422,481,237,883,621,
268,391,366,310,558,888,520,057,974,199,981,416,297,937,398,731,763,890,449,
243,144,536,614,024,961,544,933,602,819,219,687,563,227,513,431,719,784,746,
503,768,972,153,273,456,067,749,800,758,015,782,903,318,304,150,500,254,238,
220,163,588,281,854,033,868,509,026,467,110,652,233,969,445,672,961,365,334,
655,857,247,304,866,296,482,592,068,535,625,115,659,440,205,094,561,702,628,
560,813,571,959,443,331,223,905,530,296,254,014,532,017,048,463,400,330,277,
993,303,571,900,685,690,278,931,750,349,849,775,385,461,823,325,702,016,006,
518,086,333,947,060,009,188,661,614,682,992,499,709,643,150,395,959,393,591,
815,689,344,225,282,605,219,353,988,532,604,261,000,313,222,040,644,570,625,
812,758,942,602,410,282,043,153,654,992,403,718,696,539,371,213,566,900,871,
586,982,877,953,025,750,677,712,604,140,977,431,970,325,720,676,969,430,119,
831,549,418,359,245,602,158,072,622,656,638,321,916,361,326,677,242,815,323,
408,481,316,452,136,603,366,955,510,481,361,610,624,604,140,723,474,837,189,
540,897,212,419,385,395,795,139,035,018,529,279,492,970,555,323,314,690,873,
974,218,801,270,913,916,519,174,322,042,282,647,509,830,566,993,976,640,271,
421,842,540,261,274,319,014,596,701,003,912,587,735,067,910,264,382,684,998,
485,114,095,553,255,223,151,951,062,233,455,342,509,101,763,358,992,744,972,
854,814,035,823,491,956,460,354,212,914,963,671,098,062,778,439,832,479,911,
095,535,512,490,100,959,674,528,919,927,365,212,152,438,747,764,128,686,996,
091,724,178,106,048,961,975,875,614,124,563,654,537,376,068,637,535,004,352,
911,577,614,820,515,454,131,728,258,544,166,862,359,153,443,233,281,418,508,
066,851,871,206,236,874,457,248,314,824,731,050,291,550,934,777,666,634,678,
602,538,806,001,511,410,832,724,183,842,315,126,414,783,295,579,769,649,271,
132,944,722,314,962,252,580,673,092,474,849,732,276,682,855,343,773,815,891,
536,595,908,631,898,341,326,534,772,026,113,402,242,913,670,918,298,547,148,
098,383,069,598,249,313,019,109,423,413,025,343,243,991,226,421,531,165,716,
955,049,136,496,279,641,765,540,083,223,403,120,100,305,429,067,430,945,157,
123,723,782,616,314,754,416,742,147,421,583,523,463,676,487,283,439,949,564,
586,701,329,609,772,511,416,879,878,271,734,013,047,850,095,548,516,367,023,
085,891,040,429,624,680,354,979,257,988,870,019,787,601,813,293,451,211,258,
003,833,610,784,997,436,718,161,411,059,667,809,304,145,993,268,545,280,868,
432,583,959,216,035,338,273,127,007,500,772,836,207,857,514,428,352,384,290,
305,617,928,689,379,089,067,281,920,527,432,581,693,614,650,815,209,975,567,
392,334,194,230,994,594,365,414,586,879,713,618,136,753,171,752,165,260,037,
164,102,754,359,502,716,525,693,032,327,533,825,703,434,064,675,677,567,936,
871,717,023,893,522,372,999,687,278,381,987,883,421,135,055,339,776,794,004,
748,691,482,329,487,666,447,341,643,916,469,966,470,379,005,284,463,799,234,
687,438,701,473,763,144,854,620,724,939,807,431,179,782,132,772,577,668,147,
754,460,645,905,862,825,683,554,544,643,626,596,336,147,343,735,392,735,158,
827,877,129,906,641,768,450,831,884,962,040,479,228,658,287,976,427,181,892,
854,353,392,340,583,145,973,868,721,053,141,805,892,142,124,676,977,714,784,
976,540,248,310,734,306,077,652,899,098,490,506,098,873,666,479,161,609,173,
937,415,509,184,623,762,501,674,805,619,388,135,110,663,789,495,982,276,114,
673,773,634,904,433,023,252,063,860,957,747,303,424,915,646,421,929,347,636,
267,721,052,799,346,504,484,700,266,429,406,161,704,304,156,198,788,141,415,
741,485,697,403,902,759,303,190,683,827,816,517,548,421,249,494,465,312,437,
286,353,307,253,022,545,707,111,035,866,259,136,214,914,056,609,785,426,729,
518,447,577,263,391,560,081,239,756,528,436,268,179,015,188,850,449,324,751,
586,350,332,330,028,809,750,529,648,001,288,468,635,331,608,613,040,819,811,
106,601,719,207,270,024,003,347,525,887,345,659,483,216,729,211,627,769,950,
992,100,808,910,347,028,068,260,661,651,614,522,159,400,057,796,346,077,989,
588,976,347,674,194,732,101,917,701,046,687,927,292,239,945,021,976,667,132,
911,960,010,071,245,626,571,105,576,406,349,295,355,132,902,875,433,071,070,
322,109,703,340,167,727,433,307,675,712,691,010,771,869,133,004,460,466,324,
195,093,188,614,936,443,156,487,403,841,122,935,818,072,254,673,423,726,059,
779,327,450,047,994,032,584,587,203,021,962,517,237,822,268,965,973,378,280,
262,814,780,990,751,857,682,017,362,873,019,324,116,463,842,088,873,661,253,
853,529,897,712,315,953,172,041,461,276,469,293,199,373,145,508,699,448,592,
574,558,456,630,386,641,772,889,336,374,246,114,434,630,739,571,164,022,747,
467,557,922,303,541,673,222,476,714,304,637,062,395,170,708,779,735,547,900,
397,478,008,483,477,547,850,850,227,804,994,659,151,690,907,987,057,427,124,
077,288,306,543,334,195,991,408,681,347,600,516,218,444,915,202,596,347,089,
715,878,336,685,622,842,469,249,456,596,222,339,864,079,278,084,624,066,810,
640,571,324,620,825,200,507,686,988,862,126,897,192,715,116,524,609,513,562,
449,606,848,476,978,491,898,093,445,931,566,826,933,582,620,951,618,036,629,
489,582,629,990,224,242,418,564,315,863,768,898,466,378,316,640,135,179,962,
599,013,921,528,031,570,323,878,256,958,687,179,914,484,719,326,053,161,489,
908,042,317,758,838,727,732,717,868,039,946,358,278,340,721,566,607,613,148,
386,758,611,112,978,410,314,572,825,133,110,451,382,190,306,822,954,954,464,
955,086,251,096,489,140,559,613,896,174,030,803,573,123,314,408,512,423,278,
808,925,061,518,499,759,471,171,742,522,567,968,619,940,757,642,487,699,135,
324,439,085,394,127,617,750,004,836,052,748,345,941,832,985,186,745,829,831,
760,860,265,417,381,374,694,276,657,492,302,784,290,439,085,812,732,174,568,
926,068,550,387,011,438,754,408,955,113,899,948,718,161,070,933,384,765,500,
789,911,408,311,396,387,401,841,143,505,880,601,549,935,454,883,923,926,406,
526,295,396,094,163,542,959,556,623,225,616,772,235,523,061,036,446,567,169,
585,174,568,465,570,108,664,002,596,975,454,581,081,250,229,926,106,461,696,
942,366,543,639,579,642,506,078,473,710,346,755,917,878,712,178,444,501,879,
630,799,395,569,184,965,459,876,814,217,595,671,435,062,782,537,357,044,964,
815,606,165,775,956,184,587,920,569,740,658,268,032,045,149,932,099,401,509,
432,440,944,272,680,710,344,317,396,246,212,494,087,610,265,083,045,324,708,
602,472,557,500,928,097,692,600,601,912,185,652,518,003,342,875,543,094,163,
999,019,398,536,892,234,210,633,723,574,570,542,813,192,756,018,170,472,261,
011,597,744,826,765,946,761,794,999,796,965,534,180,619,858,152,633,398,033,
617,879,561,675,118,094,461,240,416,342,658,488,030,995,950,555,696,853,225,
662,214,792,099,590,113,589,224,862,080,349,730,267,104,928,655,345,016,808,
804,556,733,395,674,643,929,225,989,108,776,864,152,622,715,415,673,426,294,
954,871,153,195,147,876,447,311,632,696,474,747,327,701,691,241,027,519,589,
116,319,617,326,854,372,653,753,294,181,283,954,332,431,956,374,888,270,402,
116,072,895,842,394,611,819,994,560,863,871,648,106,107,758,799,165,529,371,
228,160,533,309,634,505,637,018,726,357,330,467,282,440,264,867,842,203,082,
960,435,760,225,606,264,825,934,541,496,731,887,612,687,950,298,133,281,268,
459,057,447,383,804,163,969,249,500,451,806,793,192,475,031,660,994,545,842,
830,748,204,892,214,596,404,893,521,358,763,485,058,368,042,456,185,027,644,
093,589,746,195,326,922,162,038,297,023,927,671,114,146,894,292,089,886,133,
080,807,561,813,064,291,121,060,235,843,232,787,807,166,338,807,307,389,067,
448,339,971,429,227,703,255,096,358,663,921,731,546,938,707,473,398,206,546,
431,803,750,301,570,153,916,563,321,206,420,333,743,059,692,448,410,829,937,
931,571,353,365,905,205,907,006,737,079,706,460,367,302,607,364,647,477,757,
089,493,430,865,609,349,701,654,516,307,436,533,924,619,354,307,834,877,938,
675,205,672,296,271,573,150,184,869,823,311,594,736,898,601,128,418,870,697,
695,827,454,695,156,099,367,592,379,239,474,275,090,942,858,611,757,736,430,
525,651,813,263,581,578,982,781,381,226,788,163,838,184,552,863,855,127,572,
858,950,503,472,172,738,135,533,627,023,023,117,134,410,474,528,397,780,209,
201,445,038,201,381,041,194,390,788,946,842,290,973,374,474,628,755,905,500,
294,101,034,537,798,316,601,793,742,826,706,307,886,881,216,347,966,517,561,
448,208,472,971,292,739,268,983,419,549,160,617,926,837,078,874,119,372,784,
494,093,614,559,596,905,087,471,342,917,623,559,788,418,942,692,378,765,847,
980,006,493,902,949,734,062,474,435,239,050,564,714,195,664,118,924,258,483,
345,399,626,448,530,811,159,128,145,071,060,192,950,179,518,719,905,404,965,
251,819,814,534,027,928,362,257,798,498,756,092,211,961,708,057,852,517,865,
818,039,211,698,008,814,520,121,904,703,355,389,267,621,752,825,844,088,529,
681,781,076,593,631,786,771,643,485,216,411,903,815,727,766,550,534,957,847,
481,081,342,419,419,100,201,607,082,043,564,778,374,920,398,769,851,659,764,
844,643,235,979,749,558,394,150,543,584,140,897,801,454,763,650,915,704,334,
352,820,707,058,620,190,775,213,229,273,315,235,930,097,168,601,517,866,274,
008,781,770,783,474,164,807,478,908,645,460,849,620,468,497,807,147,812,115,
473,259,847,134,581,574,287,574,820,070,691,586,486,518,094,716,087,439,878,
068,458,672,408,186,469,315,923,519,886,449,897,170,204,630,121,796,511,448,
458,874,046,355,613,922,105,411,760,219,250,733,257,633,006,477,719,456,480,
594,942,557,270,775,118,034,070,916,374,713,390,004,429,890,212,956,675,487,
668,069,501,563,864,710,318,562,930,470,820,967,155,086,942,115,910,651,209,
311,840,416,368,679,656,502,699,200,157,976,171,779,707,640,763,879,062,945,
880,671,325,977,383,447,009,784,007,818,266,814,353,235,660,549,462,491,244,
702,684,476,896,268,112,876,937,369,526,493,204,617,591,541,773,442,176,959,
095,823,728,776,050,689,198,881,722,771,585,859,644,617,571,481,130,293,952,
617,745,733,117,616,228,006,269,244,762,546,139,037,512,091,332,736,362,578,
179,594,454,018,980,997,482,053,801,659,178,695,254,995,582,042,180,835,744,
880,529,934,867,696,547,819,146,098,566,660,808,213,366,375,238,372,200,067,
589,265,481,239,540,902,807,937,530,275,783,247,242,104,914,227,374,636,106,
706,167,567,251,197,829,064,896,672,820,284,475,459,460,335,217,778,661,696,
327,001,616,991,892,945,422,716,628,634,022,224,821,776,350,851,560,132,605,
274,394,477,005,696,805,435,244,069,812,838,961,418,779,541,113,161,140,694,
244,581,546,195,903,717,331,251,824,274,043,243,397,278,492,525,934,138,187,
450,902,634,486,056,319,501,921,873,438,482,844,086,699,780,148,157,037,178,
866,488,089,089,240,742,720,863,746,243,096,102,381,523,004,863,435,288,301,
612,653,788,090,572,672,496,108,056,529,720,519,562,256,246,006,972,750,946,
960,938,031,333,212,103,852,354,225,588,445,111,378,882,429,708,436,970,408,
384,711,019,735,563,685,762,291,716,487,344,723,106,443,757,979,864,217,642,
838,834,340,063,984,895,810,272,800,250,886,540,205,781,658,304,727,640,632,
746,494,323,483,092,176,987,322,500,968,322,768,975,148,068,271,425,087,223,
496,628,723,066,771,640,972,950,493,068,016,787,371,210,134,564,266,303,426,
759,247,818,846,484,895,474,952,587,492,035,675,436,507,155,763,170,125,957,
432,728,013,950,058,610,399,860,386,852,853,168,950,498,818,750,547,020,001,
520,852,985,199,370,267,876,831,029,630,177,388,023,281,535,692,405,462,010,
191,075,071,229,559,511,355,035,213,239,987,530,119,921,665,580,143,227,813,
368,347,236,731,806,267,556,062,229,954,945,986,647,849,068,768,659,865,960,
087,803,306,350,355,038,548,958,713,667,586,184,209,960,344,516,768,826,532,
583,071,999,427,500,281,120,730,353,931,306,116,513,321,609,274,130,688,351,
057,190,346,742,593,048,194,135,628,893,238,099,969,144,475,532,846,874,369,
852,515,595,684,911,662,809,565,967,267,344,653,371,867,728,753,336,860,769,
065,097,928,498,540,216,107,111,071,412,762,100,367,334,141,907,823,141,983,
798,387,101,647,571,268,049,134,326,034,035,886,236,921,153,692,836,738,023,
487,433,646,594,839,536,188,744,015,964,562,284,492,521,832,798,778,267,704,
204,355,334,692,327,954,193,987,443,597,283,132,628,206,443,918,906,281,731,
894,805,204,127,744,499,312,958,928,746,687,924,739,111,611,319,536,349,319,
005,148,892,560,138,055,365,611,516,143,615,460,347,897,675,438,686,109,535,
662,092,821,008,524,681,372,682,462,022,718,095,121,931,143,803,760,957,128,
771,914,995,459,531,424,662,626,520,560,095,062,855,328,618,473,564,640,529,
243,827,207,510,132,680,920,258,542,378,357,894,767,504,735,061,132,383,380,
333,150,879,740,542,398,858,333,662,390,782,514,470,348,352,199,928,045,934,
767,632,069,255,466,708,964,321,245,010,065,921,658,964,373,942,839,164,922,
677,303,202,543,239,222,289,996,009,717,667,274,837,861,217,556,793,689,499,
475,038,665,456,606,518,382,679,293,267,421,616,111,718,300,233,070,628,237,
647,222,879,347,807,812,572,362,207,848,031,419,870,676,398,065,733,606,307,
873,734,911,579,394,958,166,052,590,957,498,532,858,886,396,212,057,718,459,
838,428,277,814,004,137,985,736,549,282,816,668,415,129,543,202,102,423,764,
624,888,655,876,678,816,965,191,201,292,949,063,897,211,132,495,006,366,530,
480,554,633,677,313,219,060,486,763,591,765,786,836,030,560,685,642,221,620,
095,004,832,952,576,820,792,584,793,520,724,329,237,964,270,616,750,106,562,
140,737,256,546,100,554,506,467,581,042,387,778,890,577,158,876,118,092,755,
594,926,193,505,222,321,708,062,928,266,339,453,549,785,370,415,199,865,692,
428,694,534,482,576,281,980,171,315,402,198,676,013,460,190,074,102,244,313,
517,933,295,589,390,566,448,297,219,026,535,463,643,273,558,437,564,696,021,
119,518,088,669,910,025,710,518,520,217,044,368,647,536,773,457,749,934,106,
474,845,155,277,907,885,840,707,022,217,802,485,961,894,052,561,604,925,811,
833,367,964,868,936,156,150,785,704,217,913,283,967,957,185,303,210,842,776,
445,173,229,029,384,647,129,344,564,382,883,715,590,777,203,573,403,303,928,
191,392,781,417,655,623,080,192,261,547,397,433,440,656,924,053,949,491,149,
210,740,506,176,550,351,322,188,885,871,762,514,966,549,581,342,527,519,157,
460,318,191,202,977,849,062,723,363,580,124,116,961,939,848,126,180,309,002,
905,320,406,500,803,591,683,126,828,996,762,788,284,371,733,737,713,552,514,
980,303,730,257,597,594,575,397,686,481,374,351,479,078,771,036,695,236,206,
338,878,244,984,511,869,872,053,809,755,510,960,969,117,559,787,052,332,503,
346,406,889,566,636,022,839,247,413,684,250,362,251,484,494,515,007,658,452,
872,201,069,353,896,918,227,762,642,419,992,895,395,356,844,587,769,661,187,
825,174,426,111,246,839,929,742,331,000,581,364,769,866,062,871,494,115,628,
162,492,124,903,917,651,612,930,318,194,637,365,899,224,957,895,760,198,814,
968,805,090,077,321,557,844,561,664,781,907,181,017,813,786,804,376,641,037,
931,531,819,160,404,323,415,050,656,150,529,157,904,406,474,239,495,395,680,
786,589,651,960,269,644,549,393,459,710,821,691,729,631,258,085,441,881,379,
968,883,022,425,531,223,586,374,163,662,130,910,910,843,882,894,915,179,633,
748,380,155,230,611,354,300,736,882,893,700,901,882,569,586,734,889,978,855,
396,683,786,280,173,271,120,134,750,552,812,471,714,071,625,496,138,102,843,
504,105,239,498,202,697,878,765,191,437,988,551,000,503,887,557,653,854,413,
497,135,808,108,775,307,689,107,986,236,424,853,875,510,016,318,012,294,433,
242,966,729,062,180,393,924,763,292,014,920,112,292,502,283,552,028,529,491,
245,318,330,760,260,292,350,674,656,457,435,572,899,327,792,529,605,662,688,
773,667,598,390,137,759,100,939,810,488,073,513,442,421,641,111,975,404,837,
134,556,341,708,492,377,929,725,801,237,159,618,416,869,367,643,366,411,257,
990,713,589,391,087,254,627,467,733,298,734,977,663,713,308,211,140,991,725,
860,434,848,289,193,346,867,830,384,308,895,164,949,933,035,689,459,092,418,
398,367,116,181,468,742,407,906,358,100,529,547,336,876,665,886,681,707,221,
305,337,304,207,707,519,511,182,065,626,259,784,929,880,297,740,747,693,348,
858,572,041,919,687,166,594,213,800,935,519,635,588,529,457,170,533,234,744,
474,210,786,221,432,310,766,506,807,809,722,180,140,378,161,503,922,541,640,
831,681,756,121,785,324,113,958,593,784,225,459,654,876,173,508,159,973,879,
538,465,008,886,591,614,286,194,106,231,775,022,189,330,873,940,828,686,697,
853,026,300,635,692,923,538,681,223,440,351,676,396,779,917,416,353,234,265,
027,131,816,287,943,156,228,869,598,991,672,425,269,334,688,500,821,007,884,
503,975,087,801,138,170,740,385,394,578,671,894,564,403,669,906,299,443,677,
039,921,374,581,414,701,275,534,319,472,528,734,591,121,111,279,838,724,467,
180,779,317,027,419,958,673,545,959,649,108,114,755,115,819,601,452,148,962,
504,956,140,767,681,336,546,738,555,172,100,479,839,761,946,773,203,250,968,
949,435,092,232,876,653,697,038,202,874,082,548,839,952,421,599,327,096,533,
099,551,416,043,211,246,531,872,856,605,750,284,886,645,658,179,252,465,554,
193,443,624,644,286,081,482,082,230,465,516,636,727,520,399,933,075,650,956,
139,598,387,454,243,879,046,017,742,567,596,747,139,063,656,170,275,061,210,
234,794,523,293,063,818,716,217,151,095,641,004,780,275,314,569,412,340,609,
125,158,230,210,277,727,776,385,165,513,231,384,278,933,198,627,898,018,659,
450,974,578,715,651,478,830,138,801,523,848,595,569,912,996,109,640,001,022,
265,071,349,772,728,853,923,692,891,801,986,255,255,655,286,099,408,770,539,
048,304,250,276,843,703,910,790,012,791,365,421,381,259,647,783,232,146,068,
435,779,694,732,320,930,248,712,620,037,202,921,092,853,611,299,037,965,668,
051,796,897,567,520,610,443,676,234,280,034,792,382,091,934,054,357,278,742,
781,301,863,081,049,896,212,683,733,441,556,258,106,733,293,574,212,390,335,
992,435,928,012,863,454,567,717,299,708,926,340,585,091,497,985,262,767,064,
579,732,680,126,754,160,405,694,921,349,153,425,574,678,777,282,558,591,293,
900,587,290,800,890,504,630,284,234,141,593,231,134,173,968,896,010,626,774,
563,838,301,003,035,431,581,557,539,285,041,940,392,283,595,537,575,369,440,
367,054,032,219,535,638,307,274,613,123,549,131,285,466,470,677,979,376,324,
642,406,384,784,816,279,083,985,196,047,717,654,354,229,938,463,532,465,401,
381,892,639,208,653,286,691,385,757,991,265,561,552,461,924,487,914,220,560,
438,716,815,961,782,857,285,665,835,044,535,106,447,031,903,099,010,560,005,
048,626,157,757,228,753,637,621,963,951,037,246,037,384,012,140,842,553,962,
281,469,454,535,800,285,164,309,939,079,078,626,356,394,542,701,994,704,071,
901,034,366,042,031,189,834,556,518,868,448,737,869,326,986,739,613,114,223,
783,976,638,483,421,073,536,445,259,522,098,935,125,357,640,189,787,213,925,
480,118,733,222,546,571,951,117,810,294,045,158,513,795,868,116,911,435,170,
885,074,071,271,595,278,450,746,746,455,261,675,463,758,501,944,296,440,294,
860,548,347,550,223,433,833,952,752,341,176,700,262,005,752,670,734,245,643,
132,652,420,960,103,758,842,445,014,517,347,142,017,044,293,470,363,727,262,
967,477,645,598,314,900,012,183,781,966,967,534,454,696,656,238,272,318,718,
492,980,930,540,436,347,877,869,370,536,283,296,286,936,576,673,498,533,547,
032,632,946,435,280,341,888,522,402,086,790,089,792,259,193,212,139,971,752,
755,108,184,959,889,400,057,362,975,412,081,430,093,667,213,331,545,035,010,
441,781,378,504,938,723,025,514,685,701,717,118,802,363,280,729,938,283,717,
473,512,305,237,732,789,916,392,430,235,732,307,776,043,637,777,048,109,080,
914,595,121,556,793,585,806,292,839,476,097,971,882,214,757,638,042,956,503,
767,323,764,334,996,015,337,777,571,825,461,586,360,653,331,159,722,713,089,
500,920,943,370,334,880,462,473,747,622,936,433,949,207,115,394,023,382,630,
754,065,447,945,460,855,000,339,414,391,111,123,889,595,243,159,683,212,328,
050,602,919,411,806,692,469,534,444,647,789,913,002,433,247,616,997,619,914,
464,324,646,018,194,927,025,258,233,517,674,134,660,396,040,178,133,342,859,
992,644,139,263,893,666,884,564,033,170,511,881,400,637,428,210,593,550,111,
019,220,888,137,842,290,163,339,497,004,623,467,537,213,957,663,378,292,395,
457,553,875,851,632,930,741,213,848,712,372,813,666,279,786,492,307,104,932,
105,528,603,398,268,977,448,252,632,954,448,113,944,930,461,700,189,849,028,
581,937,008,972,883,719,825,550,534,728,057,584,431,571,423,375,304,186,427,
428,097,500,122,834,576,233,050,843,242,191,168,721,488,319,281,884,178,841,
905,405,766,968,591,535,863,491,920,630,080,599,041,427,931,871,048,384,653,
042,029,829,039,476,843,289,660,366,283,486,735,356,197,209,541,345,150,087,
855,906,718,220,504,093,173,254,407,162,180,021,965,397,263,022,353,613,548,
117,817,412,560,868,039,083,914,515,013,954,904,269,880,051,147,111,185,507,
881,328,679,945,003,782,451,701,775,694,758,399,978,029,448,237,526,295,029,
711,899,354,700,732,483,269,773,338,303,828,605,760,465,988,850,664,483,714,
066,607,333,455,918,962,560,055,414,048,524,345,645,376,055,077,875,256,340,
090,727,164,361,223,913,912,664,993,869,277,160,702,013,104,282,182,295,230,
131,569,748,059,756,583,105,662,646,822,450,132,884,917,544,548,051,923,401,
689,989,220,059,196,054,321,314,950,930,298,542,761,880,915,822,121,327,045,
674,246,079,840,529,559,690,917,065,082,887,156,308,331,264,420,869,346,296,
032,555,141,564,851,354,719,756,250,501,131,161,643,901,430,011,788,066,604,
249,752,031,929,048,306,805,481,166,203,131,454,592,909,393,709,092,087,037,
272,912,985,425,406,041,353,372,012,103,120,590,374,960,811,880,956,642,866,
436,327,740,925,844,218,672,399,262,126,704,486,528,515,502,333,167,706,808,
854,292,035,906,733,315,931,209,845,852,030,343,486,941,044,861,406,552,059,
429,563,620,502,595,944,046,664,902,688,889,438,773,058,336,927,683,501,065,
297,584,848,316,312,065,545,847,442,260,687,880,981,771,271,521,046,693,232,
122,180,366,985,980,084,770,720,683,160,551,295,244,369,304,376,587,202,898,
564,605,584,150,446,245,569,684,840,056,216,405,004,379,050,780,240,962,761,
181,966,338,355,353,684,462,518,336,192,760,361,312,548,392,178,521,674,111,
523,894,388,155,302,741,251,471,135,483,294,455,005,307,454,580,233,939,328,
651,270,468,573,332,723,950,480,245,953,844,616,074,365,133,112,385,924,002,
199,477,763,203,557,436,544,925,509,725,145,661,368,873,073,697,443,125,683,
652,367,910,899,659,139,291,560,849,591,129,233,137,336,347,217,268,811,079,
645,409,364,711,114,211,479,813,556,343,547,269,569,662,544,887,337,061,887,
995,304,209,355,885,606,586,701,910,493,090,774,376,017,245,952,433,571,622,
010,204,366,785,701,947,449,442,591,155,005,938,942,609,805,809,834,851,401,
277,373,049,180,382,478,428,289,274,723,813,666,605,541,766,699,712,805,625,
318,984,775,562,987,729,371,931,118,970,215,319,689,389,679,046,612,833,233,
192,367,927,746,406,016,706,126,198,596,876,506,214,491,821,088,233,056,296,
268,178,715,253,873,698,195,069,048,845,453,497,996,462,771,947,817,479,411,
562,039,848,560,182,747,077,607,623,246,943,233,020,665,207,599,770,979,838,
580,611,850,158,989,440,138,711,892,388,480,009,857,936,642,587,792,397,260,
024,780,015,025,876,659,455,920,081,311,181,234,299,209,132,153,398,830,083,
372,709,004,353,640,954,909,414,364,683,410,349,227,158,870,185,981,999,591,
505,635,652,553,638,897,005,856,033,035,325,706,689,839,141,785,466,334,410,
357,844,589,770,464,999,643,903,458,793,233,602,010,195,329,061,980,322,201,
654,872,605,415,126,209,556,664,144,735,299,803,688,556,398,352,536,233,771,
042,765,279,751,751,717,144,598,740,417,645,005,986,837,461,443,800,095,921,
015,411,033,778,372,687,145,982,263,345,380,656,105,448,465,178,799,956,659,
870,817,477,009,873,589,250,112,415,885,351,038,688,535,318,150,179,895,173,
023,498,434,359,819,898,355,866,394,350,407,291,504,897,845,475,449,697,769,
800,952,520,439,107,561,120,869,568,713,981,901,771,525,148,430,488,031,998,
911,450,085,582,079,643,676,586,947,359,280,877,957,094,778,625,579,580,285,
794,203,809,549,748,888,223,589,859,920,208,816,827,629,113,652,337,306,737,
422,486,131,063,621,379,744,846,537,006,075,012,468,813,520,245,370,727,317,
771,020,304,821,502,774,875,651,900,076,090,182,928,858,178,697,046,073,941,
625,829,143,308,116,871,533,654,864,436,294,001,174,833,593,292,404,401,881,
664,929,617,985,200,630,088,067,215,666,887,633,938,526,187,982,379,232,895,
504,496,083,411,656,248,072,317,133,852,508,266,039,942,469,258,085,860,192,
950,835,636,979,267,352,291,556,136,627,791,219,612,987,419,084,711,150,455,
100,793,976,977,932,731,225,110,637,463,540,099,601,663,750,410,851,219,685,
147,597,265,331,038,828,822,379,327,405,310,542,966,058,808,048,909,333,818,
755,173,132,825,466,612,145,070,755,550,822,161,846,305,335,193,984,972,208,
584,254,247,396,933,976,210,202,983,093,888,991,748,892,415,117,206,975,461,
676,314,817,616,995,798,748,728,774,146,348,298,074,803,287,575,048,070,044,
252,730,299,323,498,707,634,791,265,955,700,235,944,330,931,362,238,238,571,
888,361,654,539,677,154,893,135,041,015,753,439,916,634,169,517,130,869,351,
622,224,489,670,500,503,835,537,765,784,085,564,980,000,477,230,582,583,871,
193,577,074,979,874,458,297,864,014,101,398,600,294,393,191,045,997,165,768,
730,477,620,825,830,967,723,693,357,819,558,139,119,576,137,729,113,360,036,
369,566,317,033,224,380,917,006,443,873,454,650,084,477,638,294,689,272,660,
343,860,170,698,669,838,104,837,119,134,643,476,036,403,392,803,438,844,467,
009,928,212,185,631,991,759,194,439,176,997,521,105,480,323,245,639,853,042,
235,969,365,523,477,055,157,475,797,104,649,417,454,204,696,784,210,451,676,
260,932,109,988,437,163,850,311,077,179,307,256,580,790,944,482,366,749,458,
016,577,239,825,436,789,957,195,418,278,807,085,829,649,035,408,255,128,106,
009,077,990,989,025,793,815,682,397,557,253,743,903,212,717,264,275,357,686,
520,313,271,374,964,459,715,809,837,545,737,130,623,844,161,370,423,438,376,
398,857,456,051,013,427,591,944,984,335,437,729,993,591,936,754,351,159,391,
398,605,547,197,405,767,938,710,667,896,396,365,796,599,268,356,141,518,154,
643,612,359,916,428,552,178,285,028,339,435,300,165,516,571,455,129,044,213,
025,892,611,264,043,026,869,600,269,178,516,600,558,440,448,271,804,353,716,
392,186,006,964,720,258,678,446,935,316,020,915,874,983,713,739,891,105,243,
921,457,740,452,249,478,880,449,575,573,134,822,732,908,994,480,708,085,982,
814,262,743,766,733,435,958,187,308,846,932,246,375,140,888,899,303,001,380,
286,912,513,925,149,105,274,906,465,454,822,084,608,081,050,929,602,947,630,
549,936,052,634,328,048,160,766,638,315,509,195,397,720,009,781,869,823,417,
442,378,306,679,040,777,996,591,897,259,126,136,983,245,394,503,436,955,701,
306,781,282,683,738,338,066,253,007,135,545,743,131,805,185,036,202,467,545,
438,120,965,023,965,656,451,276,159,461,023,623,265,377,646,931,404,093,154,
961,433,935,009,121,074,626,257,699,146,980,886,420,692,851,433,472,317,163,
778,800,981,978,523,813,561,005,909,152,852,695,956,072,771,559,969,252,840,
792,009,714,329,928,785,180,134,332,130,958,805,895,722,140,747,101,261,872,
295,932,363,951,292,339,906,117,237,326,754,474,961,524,130,859,429,928,403,
049,266,511,893,021,454,031,121,134,353,713,063,904,168,340,862,089,171,301,
354,605,068,261,775,629,635,865,766,241,309,451,107,758,514,516,797,886,686,
285,564,558,562,974,838,534,342,955,876,938,776,965,363,345,470,871,385,249,
373,706,380,116,312,216,954,188,653,270,427,736,016,388,146,679,642,564,288,
531,844,130,624,454,565,807,809,689,862,229,472,943,353,972,682,930,494,933,
191,562,332,525,114,755,196,749,028,016,428,201,736,902,519,649,046,944,439,
908,879,865,759,670,710,911,092,278,220,356,618,364,023,556,793,683,530,813,
910,642,776,793,204,447,942,332,467,878,753,258,067,733,200,214,314,261,356,
163,648,191,524,099,794,440,156,276,248,383,571,292,199,523,113,739,088,363,
001,412,748,147,134,124,680,374,915,532,637,503,807,877,785,545,902,113,374,
600,618,152,730,991,326,345,334,312,178,419,770,001,652,023,103,142,123,266,
036,771,118,900,043,483,925,440,862,714,382,004,945,393,550,408,569,513,882,
957,855,738,837,160,536,865,800,884,837,507,077,324,039,159,073,301,382,099,
087,493,613,881,106,670,380,066,250,775,969,132,176,745,798,460,273,458,864,
188,527,247,303,904,316,669,873,130,713,188,614,978,487,229,563,813,374,111,
083,687,322,747,315,685,746,812,589,836,179,731,872,378,584,148,551,752,004,
989,085,613,209,924,064,186,653,122,389,576,630,815,872,690,485,685,451,484,
554,926,490,917,004,784,651,165,028,542,408,150,698,130,233,521,904,034,396,
800,822,181,025,324,623,031,092,261,235,901,503,890,272,227,245,124,764,900,
566,399,566,347,921,050,322,759,115,515,195,393,866,522,642,042,596,709,068,
872,946,705,037,515,824,668,020,779,123,590,748,230,634,163,927,275,877,666,
206,288,787,518,740,839,163,572,525,380,199,432,360,913,915,872,753,479,129,
842,976,228,430,694,109,667,930,988,182,476,003,493,636,025,529,463,728,763,
453,172,803,041,449,732,844,024,231,506,049,016,425,280,662,256,760,168,536,
406,382,596,377,512,201,630,024,737,109,250,457,340,253,355,144,961,206,148,
250,738,762,646,764,549,861,884,676,122,597,953,440,856,580,556,456,693,730,
569,536,772,656,843,228,722,823,125,451,372,242,648,468,619,753,085,241,806,
798,284,865,951,450,762,332,036,994,327,824,780,410,733,875,939,966,576,592,
547,676,665,168,790,885,284,772,411,716,198,407,864,340,174,205,849,602,907,
842,882,414,261,776,478,316,724,442,223,130,169,350,371,529,728,053,407,642,
603,340,712,090,002,288,925,467,846,753,296,977,453,836,288,297,921,308,906,
247,219,936,894,966,303,400,146,909,192,900,384,651,330,393,654,378,052,331,
450,169,811,968,019,924,338,867,374,585,581,094,096,264,142,290,097,491,973,
084,385,614,418,586,249,152,111,516,986,492,516,244,613,168,357,497,962,381,
956,306,959,600,346,163,737,162,088,401,106,739,327,636,332,802,333,737,424,
423,881,546,988,892,870,334,276,023,063,705,909,833,963,866,569,709,641,111,
581,353,942,548,603,541,328,875,444,848,903,540,063,104,422,838,718,922,714,
576,272,071,253,111,990,251,364,216,832,757,811,371,730,320,465,093,428,678,
081,226,547,192,519,691,816,171,947,603,114,200,958,770,903,199,387,224,722,
580,692,309,136,020,823,623,137,865,533,089,188,577,941,220,984,253,562,096,
354,098,902,479,057,651,025,578,044,001,596,893,194,760,835,398,290,810,419,
990,358,616,027,915,467,353,500,275,347,454,836,122,093,479,947,802,209,094,
167,022,294,909,499,988,836,991,121,485,653,111,276,998,551,843,431,781,109,
576,387,071,687,156,037,986,117,892,419,893,205,715,918,421,292,371,681,533,
461,921,853,340,647,063,684,023,833,451,357,591,386,396,646,103,463,123,797,
981,128,888,795,503,840,426,941,492,783,750,181,765,319,615,669,891,804,068,
233,673,393,869,415,857,327,467,254,727,639,477,879,463,219,340,198,775,313,
863,161,594,570,880,075,902,297,743,036,270,132,425,058,295,592,358,367,263,
297,076,664,157,555,639,547,835,526,624,449,487,408,623,465,371,639,013,463,
712,125,602,743,169,299,499,876,873,772,679,519,670,411,097,247,060,410,830,
433,311,375,494,994,496,588,160,733,113,885,927,881,864,130,094,671,475,589,
170,791,477,503,224,400,129,938,989,665,775,437,706,121,560,400,267,144,774,
429,851,935,952,758,807,017,922,817,633,645,028,675,979,558,811,318,056,565,
341,544,009,837,694,320,686,800,786,696,758,539,179,259,369,502,359,401,718,
065,459,909,969,515,747,675,798,765,125,413,713,820,748,692,626,216,441,639,
012,464,234,527,826,119,492,530,442,582,035,589,515,104,431,966,925,058,549,
021,097,569,851,578,216,504,447,940,779,404,293,228,835,646,854,836,006,908,
323,392,260,076,213,776,618,412,305,018,258,829,868,826,535,770,453,833,896,
796,335,224,367,711,629,945,153,096,088,460,703,742,594,243,435,739,266,695,
890,496,710,477,791,075,790,152,936,190,259,025,330,861,329,380,236,768,432,
401,071,926,974,040,969,362,645,486,141,330,377,162,463,381,878,039,656,875,
553,647,178,067,853,900,079,188,911,669,244,149,275,475,955,956,332,117,409,
805,367,829,566,943,541,069,512,186,374,999,565,374,485,488,446,981,443,382,
201,986,085,133,586,860,658,902,042,846,806,929,787,111,848,840,903,313,060,
652,397,975,966,789,382,478,063,128,998,629,109,459,795,480,807,728,078,667,
157,741,155,058,883,524,870,318,987,144,085,870,691,441,868,667,216,874,724,
707,613,761,158,100,685,334,824,468,756,747,139,583,148,311,918,221,851,558,
019,324,248,617,626,528,362,916,026,853,959,843,274,538,893,925,839,328,578,
171,759,523,065,014,789,178,727,309,501,727,205,237,592,347,026,310,044,578,
733,751,269,029,895,924,012,741,603,704,708,575,297,614,171,937,833,857,822,
470,661,697,514,064,962,215,233,823,701,525,978,071,193,145,664,043,656,001,
210,306,037,150,249,214,226,709,649,052,330,217,530,645,886,011,380,389,168,
936,711,721,878,148,241,467,518,747,001,245,936,464,163,441,397,354,925,519,
381,584,945,196,921,301,150,233,861,788,238,598,935,309,062,952,713,630,158,
340,774,213,842,609,672,646,057,452,869,216,750,701,666,728,230,606,657,014,
304,441,151,240,660,285,822,147,576,587,481,100,418,262,587,602,480,965,419,
103,958,465,864,565,913,820,663,460,032,789,797,714,461,036,528,418,851,580,
825,221,571,966,044,572,319,323,408,462,648,476,682,661,839,099,533,967,582,
665,111,930,217,138,659,934,327,158,268,222,116,495,549,760,761,665,786,544,
513,305,840,997,018,783,609,571,702,351,519,104,844,788,086,681,763,254,792,
208,519,534,617,127,096,144,176,131,656,506,098,483,240,409,409,044,102,733,
356,059,400,492,848,693,474,810,828,833,327,424,598,335,774,966,314,974,488,
972,452,333,391,676,848,881,685,808,039,720,515,574,025,860,029,775,815,060,
907,411,843,719,657,257,151,585,000,301,646,310,272,801,128,391,807,499,867,
822,556,454,602,652,609,634,524,211,045,276,448,859,450,161,597,948,194,263,
405,391,615,269,031,551,286,518,683,068,563,583,942,255,665,385,212,372,007,
788,679,698,494,032,310,703,102,654,363,442,817,380,230,448,700,024,992,802,
307,679,719,553,843,619,897,112,850,528,579,320,819,993,891,887,909,146,587,
591,644,193,105,576,971,916,996,888,113,220,859,287,382,623,222,668,857,142,
792,194,806,296,237,566,972,666,773,757,370,859,616,798,255,066,281,330,246,
304,104,580,749,965,832,542,910,783,450,780,905,949,246,981,623,657,910,997,
509,939,042,584,136,642,531,451,861,529,927,233,145,304,123,953,392,548,404,
577,848,838,370,267,551,581,427,616,121,873,170,627,516,976,978,058,135,562,
007,575,562,896,807,721,140,080,540,229,627,170,905,848,389,073,412,797,120,
252,613,886,454,189,959,781,335,574,801,842,256,850,200,358,601,982,028,829,
968,768,762,291,146,727,097,851,979,282,005,249,602,012,353,838,532,147,947,
224,605,820,952,034,481,376,953,008,730,963,757,830,267,547,269,364,500,087,
215,629,741,523,163,865,694,848,502,487,919,609,224,720,462,223,853,996,579,
302,184,935,102,255,010,572,914,109,968,523,837,002,899,625,453,190,644,590,
660,916,089,098,623,346,608,272,498,947,947,696,467,066,153,040,595,049,870,
202,098,943,711,046,000,103,822,844,021,100,296,162,296,676,126,234,641,607,
703,859,416,961,605,903,353,530,698,078,880,616,026,809,941,908,545,711,827,
799,027,819,381,799,999,467,341,067,890,325,331,436,287,586,133,944,868,496,
477,891,485,728,455,882,881,201,746,335,027,127,688,649,498,016,220,442,541,
566,990,733,167,339,365,353,413,462,908,206,834,867,345,642,708,938,362,479,
092,933,073,707,271,670,096,571,335,515,310,233,127,303,918,206,672,219,227,
125,929,737,979,481,798,648,784,615,620,038,235,796,976,001,313,567,798,642,
385,910,390,920,934,878,388,547,859,591,945,668,654,940,539,341,062,985,554,
835,110,343,800,915,732,586,390,211,159,090,316,722,052,391,591,252,545,026,
522,204,279,913,406,033,259,722,687,660,522,492,053,073,882,085,180,609,649,
714,110,972,172,409,070,233,951,828,050,188,285,363,165,309,655,164,445,771,
912,923,357,587,593,264,149,219,702,996,137,975,920,851,178,176,800,149,313,
105,418,435,083,287,887,235,068,099,796,391,563,242,380,091,239,982,750,624,
600,172,623,789,173,537,820,093,550,667,149,561,710,473,064,020,776,836,597,
606,592,787,673,459,932,477,885,246,298,027,230,898,355,341,239,726,144,934,
688,217,944,005,764,679,058,321,815,016,288,233,964,853,340,422,670,843,219,
931,431,532,763,640,224,536,616,461,098,765,641,374,101,272,335,435,377,162,
866,215,185,867,874,075,771,027,086,965,463,115,737,558,556,324,085,385,843,
572,817,133,673,786,935,288,011,007,330,407,408,104,731,862,417,401,532,943,
089,501,514,886,644,814,645,180,435,715,065,229,077,909,513,913,517,623,511,
777,657,663,072,682,967,264,372,084,196,999,825,467,429,586,610,881,829,399,
370,536,764,711,562,937,036,429,246,003,166,199,337,492,922,304,675,591,627,
133,164,714,846,051,768,367,911,134,372,860,361,433,595,145,775,643,039,498,
914,296,832,136,376,639,682,827,281,669,084,225,897,566,755,320,218,996,821,
085,996,226,595,631,629,678,717,292,662,633,007,747,155,029,374,249,880,786,
428,226,685,336,588,581,111,954,417,015,351,025,476,308,723,310,564,881,847,
285,674,123,109,803,626,407,506,785,349,592,045,515,980,091,870,681,213,123,
592,499,535,057,112,297,375,814,994,634,667,969,822,423,057,204,882,898,058,
938,606,053,016,517,774,362,590,136,376,514,133,046,915,244,057,062,394,824,
793,821,756,972,911,137,035,092,597,764,469,374,900,681,422,869,598,393,157,
357,691,948,640,117,173,670,168,836,034,168,002,927,432,764,815,120,682,431,
657,296,324,816,458,296,431,527,772,681,569,431,911,873,944,810,708,872,406,
833,007,976,299,589,538,503,205,439,453,687,250,510,998,660,447,575,292,812,
263,725,149,239,798,542,146,131,321,335,089,965,842,266,868,150,781,216,129,
587,534,261,900,871,306,487,003,371,434,548,467,531,729,738,126,310,121,198,
834,250,043,403,576,133,436,079,636,810,586,195,704,352,935,265,142,284,912,
451,488,977,569,826,244,224,672,383,478,621,753,331,645,452,054,545,994,578,
624,485,638,535,021,021,353,578,169,583,662,168,675,697,204,917,269,134,726,
794,416,786,713,175,293,917,318,761,082,809,711,258,167,148,934,543,264,819,
980,586,717,556,039,752,467,932,961,101,619,176,373,759,386,089,862,361,305,
636,704,616,513,711,073,168,438,336,707,832,703,419,684,004,536,816,288,838,
983,857,930,037,277,944,046,263,578,658,720,135,784,700,931,382,143,948,961,
239,324,703,387,981,120,575,071,429,049,749,620,761,323,010,107,156,601,081,
148,975,378,438,771,565,851,084,516,894,745,677,223,935,967,951,951,180,398,
777,151,278,160,580,888,274,525,584,177,284,124,329,138,053,505,228,510,849,
833,186,743,410,611,806,442,777,915,259,766,766,194,662,586,439,143,496,222,
437,701,657,492,349,153,025,192,893,210,473,914,248,844,941,991,171,423,508,
790,384,237,085,882,303,445,825,242,183,242,347,357,898,770,476,483,078,594,
154,059,663,271,910,304,510,390,082,918,534,452,533,639,972,679,893,522,628,
494,399,141,427,023,633,152,272,390,611,565,234,272,648,245,007,879,505,254,
316,174,640,075,389,516,355,180,748,626,747,621,198,127,451,191,536,429,940,
165,223,100,435,415,023,485,856,217,159,746,090,538,193,239,731,612,312,165,
197,111,829,147,837,515,290,029,520,550,847,091,597,817,758,131,896,761,069,
631,212,308,001,705,428,989,513,369,799,916,091,523,203,557,428,146,073,781,
866,673,456,765,174,780,850,309,033,347,130,019,404,458,077,300,916,854,127,
709,569,613,569,831,159,912,140,378,747,505,886,139,088,189,321,854,574,441,
734,665,318,864,155,365,629,288,537,944,631,329,396,915,047,615,890,013,660,
390,761,213,537,603,838,892,990,746,220,559,487,707,360,844,198,318,043,135,
445,950,514,528,161,704,929,647,160,843,081,565,152,466,336,270,564,645,445,
413,716,043,449,563,141,228,339,880,781,620,637,932,388,081,485,734,132,464,
977,409,842,167,789,741,554,312,073,626,826,333,400,206,000,197,131,959,347,
625,250,097,290,210,224,052,122,974,924,939,248,549,210,445,786,641,719,708,
590,409,033,037,144,384,897,844,554,372,374,432,529,809,023,708,004,767,223,
208,240,646,346,874,627,307,789,266,952,501,744,458,902,601,150,241,805,020,
500,775,743,569,876,567,699,524,087,805,837,584,107,783,840,167,127,562,035,
726,682,116,889,602,285,866,461,331,449,619,470,424,399,527,462,438,285,947,
736,874,695,471,533,092,932,748,222,416,678,807,542,223,594,972,462,908,590,
834,648,143,883,674,181,468,845,832,740,099,162,070,063,462,500,198,878,975,
175,780,122,379,726,567,987,059,056,672,329,804,553,232,852,470,579,570,471,
057,639,201,589,213,809,847,377,749,483,028,541,694,588,473,114,382,193,035,
742,151,669,606,612,717,051,248,222,806,438,658,911,261,261,490,106,279,836,
945,250,278,596,978,633,711,137,703,205,736,695,173,141,153,815,398,342,268,
822,565,969,826,813,383,328,313,618,020,965,058,458,123,765,883,433,159,171,
511,267,467,318,301,175,508,051,216,443,305,869,639,234,237,703,576,541,176,
780,105,261,688,794,978,546,867,768,701,499,472,834,104,794,483,909,931,589,
394,852,677,935,784,545,851,075,988,349,151,720,261,141,780,791,892,212,595,
546,037,796,618,113,270,480,872,697,152,998,254,097,407,883,165,595,240,091,
335,824,502,487,437,186,828,808,692,183,735,199,814,083,583,833,524,836,865,
677,032,800,287,952,528,321,510,122,701,841,318,789,815,975,438,737,286,679,
798,136,144,276,687,059,565,943,018,078,253,982,419,844,081,669,665,756,712,
615,141,102,904,595,670,606,509,790,287,672,584,896,499,735,996,687,180,194,
901,295,832,990,416,650,016,406,433,042,121,229,595,091,246,163,125,557,363,
696,636,942,742,384,321,124,606,472,738,734,809,590,048,447,858,082,476,591,
183,377,275,182,951,888,400,929,910,264,309,045,670,222,918,183,059,276,086,
228,801,548,880,028,726,279,099,537,968,644,774,883,624,718,895,681,390,108,
365,797,308,461,004,471,749,782,702,314,841,833,884,983,342,307,173,609,625,
503,729,113,215,749,645,188,583,303,492,941,759,857,978,910,370,007,769,765,
020,244,138,764,985,195,129,584,263,138,934,580,496,091,895,301,973,308,760,
941,681,294,742,490,536,914,061,510,842,082,203,867,024,121,178,437,958,787,
537,184,808,350,369,404,510,458,141,276,525,640,009,022,201,852,846,211,848,
322,362,512,134,441,768,511,502,223,544,575,642,193,567,318,342,691,835,807,
183,364,021,556,386,654,691,549,944,682,686,713,701,117,530,838,137,472,070,
197,655,450,547,418,540,983,989,014,579,816,023,543,671,716,153,529,627,054,
852,109,489,339,687,255,513,083,397,976,319,711,242,613,495,741,413,074,105,
452,816,089,580,402,501,333,101,870,489,654,839,901,457,498,741,152,246,749,
824,690,880,519,852,076,620,186,977,424,532,951,066,361,685,995,841,504,905,
568,137,879,798,784,969,754,116,338,415,282,598,893,537,202,339,493,327,351,
200,648,798,543,767,184,887,317,209,662,801,035,351,369,398,630,098,010,022,
118,721,868,085,511,418,697,399,718,936,743,294,665,126,186,458,235,298,552,
991,905,832,870,945,860,697,837,631,452,426,402,937,910,322,633,930,991,074,
280,429,489,284,599,374,243,803,080,902,263,007,027,327,814,877,195,530,146,
211,544,679,696,676,890,137,913,394,241,253,392,677,057,069,627,856,116,904,
016,092,659,546,205,124,713,053,938,534,901,115,049,818,186,912,204,506,771,
316,819,649,817,154,541,213,364,940,448,035,448,126,318,848,912,047,181,185,
517,144,926,499,018,086,966,861,285,722,269,351,502,709,320,853,755,835,960,
071,335,334,966,272,126,217,813,154,816,033,244,236,960,166,046,200,414,961,
345,960,654,613,213,414,264,039,130,935,682,635,703,484,071,833,854,437,217,
247,233,101,601,763,368,403,190,994,357,026,479,611,586,283,993,120,180,762,
589,456,142,958,527,326,068,506,902,513,191,581,586,078,394,838,958,241,896,
925,698,281,886,911,945,970,166,734,290,210,400,989,523,775,381,385,386,116,
445,259,067,939,608,694,993,742,542,251,708,597,771,449,378,972,648,805,803,
665,717,122,755,720,419,625,854,541,309,631,138,306,165,556,760,204,481,350,
424,346,224,539,093,512,363,151,564,605,696,373,589,360,818,774,247,965,661,
681,542,432,188,805,459,406,931,353,309,591,716,955,021,939,593,475,261,820,
442,055,639,991,076,257,052,942,962,019,706,436,668,776,339,622,142,938,430,
886,076,626,738,909,583,588,704,607,446,743,829,384,639,727,410,042,454,401,
889,872,586,170,601,164,866,769,055,802,879,591,114,193,393,594,100,474,665,
766,123,930,010,886,230,024,798,784,140,409,842,127,443,081,750,565,198,713,
082,216,331,846,253,276,477,301,794,413,716,382,797,967,767,019,753,171,855,
209,715,264,004,896,655,084,163,985,600,307,958,874,338,710,956,774,341,054,
436,889,864,767,423,909,942,843,687,546,871,862,386,970,853,338,116,796,121,
909,343,089,195,366,810,168,257,583,287,188,018,879,610,013,982,192,899,853,
479,062,303,762,944,190,652,267,679,227,322,337,833,304,597,358,913,760,356,
678,002,406,096,684,878,176,824,617,738,249,921,704,460,990,981,199,826,682,
557,643,511,485,707,295,702,773,986,293,069,344,471,798,215,319,729,470,364,
471,398,095,629,452,507,705,698,803,434,858,531,321,551,942,319,122,366,627,
668,024,191,860,969,366,113,888,770,970,252,859,086,457,680,188,685,733,690,
724,967,330,774,100,145,747,954,774,832,241,498,187,294,215,140,433,692,279,
652,595,702,238,940,860,872,313,336,513,532,341,330,973,088,414,565,203,495,
021,419,860,765,477,516,861,465,396,846,321,669,696,134,513,398,032,079,094,
387,762,067,584,607,436,428,813,298,083,658,713,414,311,338,288,640,213,538,
223,913,797,794,688,294,618,565,171,082,843,705,262,720,599,989,686,380,212,
456,238,792,061,536,295,027,137,962,800,449,718,770,156,119,038,726,375,484,
907,659,842,488,030,044,624,271,328,769,068,023,564,346,689,825,509,695,007,
732,401,221,314,550,943,314,222,598,789,248,666,116,807,868,648,316,016,964,
234,475,741,929,417,406,959,429,446,051,664,554,849,822,517,505,553,497,693,
047,586,722,387,015,377,965,323,308,666,918,671,732,289,008,168,350,478,754,
986,764,589,800,798,831,573,076,593,573,480,818,001,155,152,259,228,554,389,
770,696,667,220,303,998,314,200,656,394,683,742,331,745,592,331,165,833,095,
793,011,917,422,393,471,945,098,478,414,826,309,744,511,316,853,351,344,559,
865,582,205,957,487,298,238,445,867,372,817,285,017,552,935,187,400,640,793,
507,673,555,608,708,080,253,260,190,009,576,354,520,522,240,647,414,054,746,
233,578,928,610,712,623,562,278,762,005,045,892,191,075,156,660,344,253,301,
031,069,309,894,911,664,954,106,896,652,822,557,208,132,180,067,969,537,320,
412,854,827,604,469,337,859,741,911,702,729,765,051,164,384,970,952,955,119,
095,283,066,200,166,928,501,066,803,605,482,985,369,917,465,193,665,234,836,
967,060,984,792,296,471,921,322,255,457,092,378,302,834,720,923,547,041,872,
107,102,143,585,405,381,060,995,419,095,170,277,717,423,676,639,595,519,685,
540,740,307,594,145,447,466,595,455,768,458,611,226,536,348,820,456,302,449,
803,428,577,408,062,410,072,282,707,859,955,674,053,577,290,165,402,463,468,
308,626,141,268,790,054,378,318,036,183,089,115,053,402,903,674,991,861,116,
329,927,802,534,026,082,231,297,510,997,829,874,125,452,043,005,468,852,770,
008,773,488,097,210,921,797,183,904,381,021,924,444,607,086,004,431,814,835,
576,487,619,445,182,769,341,939,976,810,536,521,422,388,520,092,235,813,689,
679,174,488,628,549,810,588,502,084,594,755,449,896,473,157,250,017,867,231,
645,239,424,406,583,162,831,404,621,678,189,469,996,582,633,998,337,945,862,
299,805,111,066,074,159,833,502,870,176,188,889,580,222,051,973,020,802,096,
499,243,563,122,282,369,450,783,746,291,829,796,865,704,731,300,694,276,874,
615,795,431,798,035,873,930,263,626,631,447,908,280,344,747,843,343,551,986,
708,960,899,854,423,797,887,897,236,229,122,054,204,273,052,835,809,789,957,
139,383,966,652,743,887,471,429,897,276,759,666,396,727,700,846,066,405,731,
724,374,361,452,535,786,996,432,049,297,811,374,872,784,275,122,459,683,852,
666,014,603,598,922,677,382,761,514,976,622,158,306,125,649,452,667,748,582,
866,860,337,314,437,889,225,115,398,363,678,831,711,601,336,208,655,294,844,
962,223,414,607,281,272,123,142,990,822,066,768,601,865,804,605,991,976,639,
009,605,763,221,195,640,983,179,744,272,794,572,956,977,352,796,608,026,774,
775,128,581,889,422,338,240,288,424,629,673,200,783,520,760,229,310,855,896,
700,098,450,459,243,539,288,197,264,328,058,755,900,887,232,007,514,709,777,
411,250,964,093,188,253,470,738,061,407,897,721,974,451,373,083,669,992,888,
526,136,727,988,063,164,753,377,215,310,590,040,396,582,153,421,321,283,407,
232,129,396,919,032,984,369,675,765,858,401,400,061,883,817,492,067,086,210,
374,466,889,171,949,442,877,194,566,992,568,509,400,927,073,910,377,103,704,
168,500,940,882,114,814,513,679,822,461,169,627,517,801,863,340,074,654,066,
474,775,190,071,348,438,671,273,773,427,903,521,559,461,120,842,915,795,561,
678,975,012,450,790,728,187,857,036,698,590,788,393,577,073,112,239,421,868,
540,807,966,631,208,292,635,054,953,609,876,245,799,753,454,753,571,638,964,
404,890,487,914,344,818,594,949,293,860,708,224,753,275,071,232,560,403,281,
041,337,482,241,278,653,347,854,283,798,439,875,146,204,953,139,852,739,968,
903,113,488,912,200,284,200,725,368,589,578,813,276,864,613,383,752,079,747,
929,485,866,947,806,675,942,153,832,668,857,793,634,944,889,147,796,151,415,
870,589,611,670,481,131,624,844,978,359,859,473,008,615,559,720,701,743,822,
056,914,063,584,286,248,181,934,994,098,820,338,630,047,427,366,681,727,100,
699,339,824,059,918,308,902,852,959,857,970,217,531,908,963,243,673,981,689,
914,971,586,217,926,012,892,056,530,758,078,174,401,445,869,912,739,608,218,
829,246,472,820,201,388,231,699,047,072,124,667,654,796,148,731,103,920,947,
286,704,440,711,928,021,162,029,850,234,412,155,144,128,882,208,324,120,413,
115,730,410,599,954,398,544,051,780,548,905,772,674,763,937,536,291,229,374,
652,459,648,924,694,253,115,709,949,200,147,537,632,650,095,425,808,459,301,
749,665,284,356,487,354,840,203,060,204,975,852,559,851,591,187,129,560,260,
437,095,820,169,448,078,327,438,199,759,655,082,214,624,815,326,535,694,252,
302,523,941,434,114,689,489,685,520,254,453,068,303,428,852,951,168,590,623,
140,841,636,167,257,179,301,997,127,065,297,615,447,218,597,333,551,887,309,
537,032,915,028,492,706,744,531,579,347,625,598,583,527,979,009,356,592,475,
021,269,883,572,923,158,271,190,893,095,298,171,619,368,545,638,381,014,804,
731,023,556,905,960,857,671,921,262,852,497,407,919,680,683,727,907,340,044,
988,990,238,007,779,787,816,098,480,585,029,116,800,924,679,919,164,093,657,
960,675,331,115,201,655,658,236,136,869,042,835,611,624,789,680,859,572,211,
765,798,040,335,141,690,714,918,707,687,007,093,155,792,444,158,557,772,315,
007,393,636,373,472,863,901,447,849,172,595,601,584,301,180,299,380,845,758,
722,303,140,059,949,078,297,503,303,055,113,638,220,886,164,306,435,936,742,
788,166,556,565,534,809,324,529,481,294,423,545,043,720,129,073,372,467,089,
835,981,207,805,258,513,802,987,821,959,370,216,998,702,705,496,717,810,351,
084,923,958,217,505,397,266,781,102,069,753,891,795,608,824,338,688,858,834,
514,253,236,822,352,936,450,065,813,807,566,840,765,147,455,905,467,940,822,
141,354,677,501,854,046,848,184,781,644,010,759,111,421,906,815,695,470,325,
190,398,258,170,896,944,956,994,430,450,994,050,875,057,420,715,155,716,369,
807,367,864,230,567,189,208,373,667,345,822,108,720,254,620,644,650,932,812,
122,480,644,992,207,953,711,110,675,135,629,636,635,021,444,768,324,093,613,
385,949,456,684,064,445,661,589,137,255,726,685,450,771,648,517,176,441,099,
189,434,305,515,308,332,795,317,841,234,207,707,234,868,519,193,507,492,924,
121,117,689,442,179,059,966,702,766,196,433,045,453,007,350,099,510,848,767,
314,228,253,198,534,964,118,257,542,868,726,556,608,972,703,011,447,422,617,
438,314,762,708,302,389,901,572,782,705,321,375,971,367,333,245,493,814,898,
069,483,756,489,620,804,951,567,007,228,993,428,537,537,100,406,703,348,058,
963,748,947,530,337,597,545,756,690,701,276,459,156,786,034,014,681,770,143,
490,222,223,294,136,540,220,472,569,907,810,488,380,015,411,174,647,893,480,
477,398,300,666,168,525,932,383,923,056,873,583,250,465,521,715,224,951,979,
730,110,107,978,741,705,543,154,408,206,264,778,189,659,434,398,598,954,042,
637,271,452,900,040,628,605,861,761,141,436,328,411,885,058,092,016,982,312,
754,342,069,157,192,822,670,100,046,681,176,308,586,129,525,120,463,234,093,
234,000,842,111,475,905,809,671,927,273,265,874,614,247,347,507,104,195,252,
089,012,437,938,970,005,112,093,643,961,975,412,781,933,954,547,157,714,689,
491,666,174,959,799,483,612,667,512,016,001,885,210,770,382,877,830,121,818,
534,031,144,929,023,451,290,203,719,084,292,615,401,228,346,955,863,034,369,
548,571,489,262,781,826,992,656,882,318,893,438,854,557,975,766,131,636,124,
193,988,806,742,776,563,778,696,453,156,010,729,076,532,670,749,847,553,930,
617,274,363,534,827,990,645,559,319,318,977,336,976,486,878,795,475,171,641,
043,500,850,778,125,055,050,442,550,143,642,564,132,179,220,437,978,933,022,
479,833,509,038,480,213,974,942,212,209,519,614,983,258,030,733,325,647,399,
820,755,166,543,922,956,105,702,870,520,821,998,675,415,403,510,557,637,376,
759,181,226,631,862,975,675,135,014,980,193,119,437,995,972,900,033,969,391,
441,837,728,493,002,122,385,072,325,630,141,915,844,294,939,920,389,158,711,
429,165,641,638,979,583,052,714,054,513,372,675,494,712,230,112,124,725,715,
372,148,572,749,437,762,513,222,174,711,810,727,750,206,901,267,021,645,551,
199,968,954,327,543,659,520,389,669,174,640,221,392,042,131,184,994,969,369,
391,757,654,803,153,083,847,344,592,940,984,948,504,407,365,967,674,714,303,
147,525,521,235,055,437,623,236,573,014,277,562,380,520,128,713,202,427,663,
187,505,564,462,121,989,256,829,814,417,646,161,377,508,909,198,440,597,065,
450,128,914,796,937,457,132,543,657,248,582,547,943,552,460,846,050,243,450,
239,633,245,134,662,784,665,545,584,908,600,496,897,259,027,484,229,395,143,
814,971,879,329,412,618,984,320,817,619,441,040,560,785,917,905,049,823,397,
191,208,514,399,594,499,137,592,125,396,016,677,670,249,215,602,871,946,349,
653,118,030,332,575,828,801,232,723,815,706,291,798,181,127,008,450,084,327,
561,945,456,130,259,404,461,388,243,878,201,626,543,499,298,859,080,668,543,
258,429,064,342,285,268,774,478,950,986,085,709,093,704,212,567,678,477,595,
512,414,176,924,012,164,987,014,971,972,529,346,844,038,015,784,659,900,748,
557,786,298,790,838,160,981,010,893,921,107,355,786,223,250,112,004,367,571,
588,993,763,397,112,960,694,454,931,679,672,274,688,992,737,951,789,199,112,
207,641,611,646,046,874,894,985,751,439,517,671,698,764,304,996,562,561,859,
424,663,309,985,550,057,084,510,821,491,469,492,339,018,925,338,300,185,538,
196,110,198,721,648,138,862,266,466,802,364,033,820,727,653,529,666,567,022,
646,713,951,444,069,521,383,327,828,514,893,747,984,151,217,105,516,981,649,
824,528,439,035,642,445,720,642,468,248,472,600,151,224,990,551,671,462,904,
513,035,563,533,418,015,442,977,352,042,386,144,256,421,918,518,636,265,123,
350,232,625,903,717,091,179,990,268,131,934,658,518,816,644,054,193,129,241,
517,719,096,994,408,992,256,265,909,035,384,632,922,643,056,910,140,871,988,
700,299,354,587,784,764,694,573,072,512,500,438,245,339,334,954,997,480,973,
255,892,942,428,770,265,878,987,106,685,407,393,818,221,758,241,227,325,556,
989,110,921,772,910,649,448,717,133,593,735,483,044,177,262,881,637,076,867,
953,528,577,427,404,252,822,308,229,469,558,789,853,666,141,163,916,404,249,
900,016,157,799,301,828,242,416,718,474,564,121,351,689,638,956,157,491,323,
326,116,885,261,991,126,074,978,029,906,883,317,066,755,033,372,082,876,839,
795,474,258,097,292,811,491,885,520,447,282,448,102,298,176,298,713,989,870,
563,581,313,143,101,143,078,020,896,321,544,390,819,909,614,365,224,265,335,
474,258,778,346,385,021,867,918,940,901,954,895,051,449,331,302,618,026,051,
962,601,196,537,913,179,143,397,246,941,845,862,983,875,599,501,013,049,526,
960,608,339,628,758,735,807,538,513,373,357,657,054,220,709,024,152,552,241,
006,647,353,255,330,667,049,860,136,623,328,760,660,106,057,491,604,919,157,
331,539,599,860,909,188,656,129,106,338,398,216,655,420,732,166,203,537,111,
454,951,287,139,303,536,835,967,490,431,920,735,475,635,334,609,485,535,231,
575,306,700,679,660,112,382,439,819,653,782,613,502,813,785,795,777,559,768,
076,706,053,322,202,017,398,272,124,427,998,317,970,462,257,656,035,076,580,
287,093,435,014,502,622,503,270,488,756,665,154,589,452,496,853,856,273,363,
369,696,258,027,193,211,786,097,239,946,923,059,113,518,315,579,720,514,340,
945,325,511,690,279,886,320,258,564,950,825,276,112,236,972,086,325,742,378,
046,722,043,328,395,656,383,712,602,177,720,740,846,750,920,225,454,609,082,
937,614,865,854,735,541,867,540,068,705,907,201,245,002,080,964,514,688,928,
447,158,561,043,614,514,377,862,981,035,781,964,463,375,676,819,858,139,673,
121,704,691,415,050,916,929,629,568,605,719,907,869,732,101,584,694,172,252,
841,690,472,031,080,158,902,088,731,734,197,961,880,795,446,449,999,055,578,
518,534,995,248,563,851,266,873,803,130,151,629,407,836,038,166,487,513,241,
720,516,445,635,783,033,048,953,252,020,751,683,863,660,849,667,121,210,375,
906,408,748,976,623,068,245,884,546,220,035,981,982,367,565,714,382,962,225,
439,612,915,398,631,671,612,043,596,476,415,832,405,904,747,379,749,948,931,
799,866,961,817,360,357,466,886,813,750,295,342,024,529,820,102,679,622,124,
250,246,054,853,786,105,349,118,021,835,182,407,232,756,977,663,181,457,262,
129,392,150,331,073,259,484,134,829,664,721,373,204,508,350,452,964,834,885,
168,316,530,156,879,521,372,940,403,763,598,953,346,235,876,120,340,251,547,
502,146,798,437,018,779,959,627,191,667,921,777,687,261,656,737,275,569,384,
270,962,161,801,140,213,143,900,407,641,222,310,800,230,927,884,677,549,460,
540,892,592,546,611,954,258,772,422,192,108,546,827,230,793,291,325,718,169,
601,148,917,443,395,688,655,323,742,260,473,758,771,131,227,289,131,698,016,
830,669,944,635,915,020,482,974,967,181,485,465,299,533,234,887,854,283,474,
135,286,848,952,927,113,187,263,912,998,919,692,239,518,921,056,031,360,892,
652,199,641,117,170,412,284,498,786,579,065,962,698,948,495,255,719,116,632,
582,355,434,365,493,264,755,545,457,251,642,557,213,900,773,681,591,017,310,
720,229,368,531,252,755,713,274,042,306,681,923,623,906,870,762,374,661,176,
685,367,859,688,670,364,205,953,656,757,479,158,245,309,985,456,804,203,422,
821,792,104,345,357,437,945,604,763,127,545,956,185,000,333,538,979,612,082,
742,966,602,042,047,907,042,143,283,542,034,711,376,884,098,629,066,363,805,
617,522,877,620,160,591,319,179,540,862,851,017,477,764,109,062,019,150,935,
577,746,427,356,490,819,161,875,537,167,513,186,795,058,865,785,574,901,088,
611,036,306,407,468,200,517,901,585,654,069,294,245,892,548,710,152,317,937,
543,745,439,734,679,085,508,249,045,154,136,420,136,149,897,828,425,795,029,
814,126,521,684,124,607,130,134,046,391,741,027,241,107,375,261,901,331,754,
933,476,403,119,248,158,242,835,107,299,909,415,909,078,814,644,080,818,625,
468,318,267,860,644,133,896,336,018,205,449,807,244,496,685,940,229,750,880,
046,090,825,729,489,537,282,899,850,687,807,875,431,844,129,881,312,001,499,
937,480,895,972,777,521,991,300,205,279,473,946,204,264,519,793,912,994,873,
135,760,419,049,895,298,029,710,511,780,494,059,962,504,062,178,523,684,494,
754,609,192,750,963,551,304,982,721,964,142,138,305,798,446,194,548,607,970,
479,502,336,463,548,423,885,232,840,083,141,821,726,052,661,337,949,003,787,
881,768,020,596,200,642,987,351,910,807,129,925,841,698,189,979,651,133,914,
305,095,911,056,097,385,069,167,859,690,681,505,461,578,570,069,750,286,800,
667,349,994,977,583,286,420,712,339,237,872,812,195,439,177,925,102,935,763,
942,242,897,610,266,149,817,413,370,801,922,182,248,613,224,069,794,443,133,
710,750,992,740,794,346,319,922,795,877,210,361,681,169,851,697,632,463,465,
520,523,229,449,977,135,079,281,962,578,816,780,180,204,298,201,364,975,006,
334,303,165,795,765,855,713,485,642,749,100,937,793,359,885,207,581,918,426,
094,628,981,252,720,513,486,519,695,498,286,362,781,130,210,539,664,508,542,
548,543,691,721,353,385,922,625,740,103,923,764,547,833,847,515,143,508,307,
534,828,879,360,726,939,442,713,152,395,837,992,960,973,637,755,942,672,308,
153,017,523,559,118,242,361,516,453,311,995,912,352,149,130,207,743,003,707,
570,560,911,448,609,588,755,731,382,630,874,049,515,375,548,049,103,437,581,
225,050,218,842,388,384,710,673,933,113,393,162,934,897,825,759,628,332,780,
681,927,241,902,027,488,098,588,929,862,613,446,622,392,831,072,895,697,006,
664,030,671,246,976,859,080,209,789,127,023,087,777,913,053,237,081,019,916,
359,283,041,161,393,467,708,563,920,789,480,579,030,250,884,998,990,019,836,
074,080,863,954,900,504,835,762,123,953,083,319,569,933,077,791,875,421,626,
517,852,399,513,532,020,373,045,717,917,732,398,152,035,697,897,258,120,728,
601,139,588,789,870,454,881,321,398,659,093,002,439,345,970,753,121,861,350,
030,343,416,746,911,895,626,953,588,714,977,240,764,318,702,338,845,211,297,
404,411,363,633,982,882,168,882,712,160,415,264,193,555,899,548,373,633,710,
566,955,422,014,715,500,967,264,626,231,367,131,577,848,309,251,462,875,412,
089,210,175,632,060,264,433,114,666,503,604,213,415,075,660,092,966,833,446,
130,822,267,565,334,226,778,303,739,238,927,731,193,573,339,465,291,428,471,
113,281,273,063,141,996,114,631,465,556,986,592,258,887,895,981,509,458,646,
696,101,415,675,540,549,194,921,980,802,206,852,888,559,245,574,102,570,319,
011,908,563,442,070,486,086,999,389,948,433,542,061,566,013,190,350,275,517,
708,120,001,788,394,263,194,578,058,780,985,450,471,330,921,498,029,154,068,
004,570,488,292,959,690,880,013,263,975,093,168,130,177,292,165,440,844,285,
681,078,975,120,037,796,864,254,464,091,024,158,999,434,693,554,231,872,938,
722,842,850,492,977,413,278,586,831,822,223,596,739,950,045,869,225,468,538,
465,756,251,846,387,080,955,469,240,652,355,295,718,538,140,182,979,125,777,
348,437,261,817,650,609,179,667,990,255,541,098,935,694,708,782,213,807,788,
367,016,389,330,576,929,543,489,963,250,001,131,577,452,975,342,804,173,812,
962,930,419,565,787,429,517,864,660,448,760,041,867,154,309,880,339,067,703,
184,468,817,237,476,670,348,261,425,723,286,881,921,768,734,759,198,785,597,
803,500,690,890,414,066,249,198,345,113,999,828,155,737,253,735,376,253,450,
653,695,538,755,201,309,038,489,638,422,928,114,299,002,448,286,054,810,753,
591,224,104,662,248,139,475,251,527,888,300,552,640,749,480,442,444,432,850,
238,737,806,192,976,720,208,387,604,748,294,501,252,973,318,516,716,209,931,
754,365,004,386,879,209,806,474,317,104,747,234,634,500,684,331,378,522,584,
666,862,730,951,929,371,578,775,459,762,812,750,265,997,606,945,007,385,030,
243,853,919,596,952,836,573,847,643,596,955,026,524,926,460,484,241,412,327,
219,824,827,809,398,211,620,111,620,710,753,287,805,329,421,320,989,018,600,
720,533,314,116,682,807,070,712,168,872,730,477,714,696,109,904,630,037,104,
791,309,122,281,505,044,939,062,666,962,843,789,373,443,640,903,208,757,103,
677,020,887,481,965,928,660,633,324,388,158,638,569,641,246,012,843,897,116,
631,487,182,237,292,819,126,348,808,765,099,830,828,393,093,621,847,444,871,
303,030,879,791,512,301,290,155,847,938,665,427,231,692,578,909,181,767,059,
450,484,428,870,506,000,609,763,564,654,526,340,228,182,902,974,676,433,553,
328,156,107,991,448,365,716,333,039,446,545,242,998,026,277,868,572,677,390,
556,619,624,840,519,700,496,054,445,628,062,448,474,101,736,069,821,958,036,
666,832,264,998,127,126,065,954,313,978,624,622,515,973,447,422,565,522,019,
726,234,919,169,630,224,627,296,960,821,156,774,211,843,643,916,374,994,743,
153,460,039,273,224,017,355,216,713,275,810,103,794,165,838,170,412,530,472,
376,422,206,407,096,430,417,864,933,610,955,646,689,416,394,117,238,372,255,
146,001,210,830,849,093,938,092,611,545,566,838,380,123,234,311,154,415,443,
361,468,660,624,021,548,375,268,328,251,686,294,970,607,821,843,653,669,314,
130,706,415,190,182,101,808,150,593,015,284,973,158,123,888,720,855,310,446,
283,570,043,042,590,109,856,253,014,553,192,064,837,206,000,121,552,967,063,
104,689,576,741,229,562,029,658,167,438,167,000,964,129,775,215,627,318,254,
181,487,754,493,964,468,044,061,575,400,450,420,496,125,277,653,250,256,415,
980,057,305,451,559,553,093,753,656,959,195,694,518,039,101,262,941,610,245,
095,444,759,840,188,274,543,547,424,780,983,914,992,943,593,970,028,148,490,
705,430,798,079,745,985,411,126,464,136,191,052,298,410,838,490,758,451,534,
486,043,969,122,548,210,769,065,148,745,237,464,845,895,009,837,194,203,567,
098,927,342,551,449,643,345,078,763,339,480,739,144,791,497,602,425,517,762,
804,525,965,904,251,500,256,489,093,464,622,252,076,594,347,138,593,260,279,
772,948,433,387,857,851,246,097,835,412,548,925,487,415,642,205,603,571,002,
163,681,968,574,421,364,470,139,521,946,630,299,629,633,440,795,716,565,428,
756,560,001,009,987,053,362,271,208,730,869,039,243,414,012,267,610,212,328,
368,532,756,993,844,211,074,056,601,038,501,934,650,596,240,378,388,641,304,
814,860,670,715,293,976,239,665,711,347,885,604,121,901,082,496,414,351,993,
857,163,288,806,386,877,404,851,246,641,000,295,689,481,044,589,546,853,043,
131,835,587,054,773,760,234,453,546,786,535,852,553,355,202,626,688,573,489,
547,455,381,587,330,584,216,492,157,496,892,429,673,739,111,796,866,184,766,
471,013,913,276,902,468,059,463,366,592,125,784,834,263,722,575,176,338,029,
661,647,914,999,793,927,630,162,219,333,047,043,795,818,583,797,673,139,809,
591,553,030,410,693,635,909,059,828,157,487,662,289,110,861,660,011,398,839,
864,618,458,559,126,848,842,031,358,240,993,906,968,617,180,633,125,157,790,
189,399,240,445,675,293,597,630,826,357,627,832,774,747,453,248,651,810,194,
797,681,702,846,145,540,034,333,034,815,099,936,032,908,084,729,840,112,578,
001,143,039,176,187,260,264,796,780,361,259,394,769,196,628,282,457,542,326,
756,948,980,837,140,726,616,909,222,812,423,721,690,469,482,165,006,211,968,
476,068,151,891,694,073,980,971,726,607,163,341,283,004,246,268,895,281,041,
244,400,489,132,563,036,746,757,558,958,040,753,821,045,417,732,192,665,850,
981,957,628,114,129,840,785,982,440,026,938,915,778,072,288,863,523,067,439,
563,484,685,685,075,213,886,856,714,738,415,998,733,056,785,651,495,993,979,
495,297,573,913,393,097,386,807,645,376,414,020,078,933,217,975,465,179,208,
392,544,422,436,348,576,926,234,999,655,105,427,942,665,981,339,623,490,697,
130,659,964,923,196,838,995,212,277,009,707,144,254,741,102,855,332,298,851,
382,344,846,289,181,019,693,409,448,053,528,704,915,163,677,818,064,823,097,
886,990,063,226,936,143,395,834,120,379,816,212,540,551,755,627,143,441,809,
606,748,546,487,204,972,061,098,932,570,325,546,746,827,628,083,698,253,091,
507,900,234,404,481,937,124,310,902,693,945,299,956,754,738,014,795,041,136,
776,692,448,764,190,797,149,718,974,598,617,694,814,979,614,331,357,814,152,
225,013,864,688,856,774,171,014,286,661,494,497,264,361,677,874,065,722,273,
176,707,499,200,549,791,438,006,608,827,547,230,268,279,086,339,332,386,155,
087,599,472,714,166,766,879,102,937,183,097,778,399,529,955,282,005,894,845,
870,806,263,829,135,173,804,532,148,399,952,273,472,334,445,313,580,635,943,
612,481,985,306,399,089,953,711,478,541,157,678,377,558,803,775,413,580,821,
338,926,995,120,385,965,247,406,580,570,445,246,881,189,496,252,759,619,956,
484,100,271,634,409,719,680,853,295,085,794,386,895,397,577,452,655,692,050,
911,914,958,093,843,483,580,562,478,171,747,387,359,090,193,342,744,577,363,
231,349,631,608,741,351,043,764,228,504,271,323,910,943,858,526,630,285,860,
434,915,190,329,035,498,923,140,429,224,395,267,104,494,115,033,397,413,374,
863,212,418,901,453,450,998,379,347,214,956,228,174,096,697,746,457,583,771,
669,427,713,280,181,865,084,578,324,115,696,738,838,685,749,485,647,548,444,
745,252,286,981,103,988,254,702,562,923,360,126,299,710,085,243,414,991,317,
459,895,886,899,675,874,231,852,900,769,571,813,288,680,710,205,612,341,169,
013,335,503,041,527,810,986,882,042,113,454,934,042,026,380,833,027,922,482,
734,636,512,615,889,936,957,324,011,040,049,317,942,899,778,199,061,786,984,
240,243,260,422,875,097,634,056,334,170,576,277,964,431,334,978,814,808,897,
006,513,974,770,310,046,168,981,898,496,820,794,719,929,406,752,515,394,090,
056,957,591,613,534,598,715,513,636,106,129,983,710,655,087,758,422,251,057,
338,837,918,227,376,929,948,022,174,395,200,826,360,621,643,402,337,381,935,
220,077,150,301,125,546,838,736,219,111,737,156,231,058,673,156,341,006,720,
231,390,287,972,824,626,133,681,831,192,063,893,543,302,163,562,752,562,099,
750,396,091,559,096,203,181,339,950,973,429,078,084,765,320,002,342,318,366,
277,560,995,658,397,943,258,369,799,324,139,347,371,664,810,379,755,583,993,
679,149,912,290,815,537,121,581,036,091,173,573,464,767,821,795,224,557,870,
131,682,336,240,404,839,926,584,928,906,642,217,909,919,336,300,651,275,551,
860,047,950,534,498,820,255,271,002,548,504,246,723,585,379,517,599,624,075,
583,860,388,253,584,730,123,767,424,478,998,602,353,175,093,896,065,928,144,
754,482,879,535,449,803,657,918,414,030,032,585,361,710,358,350,814,034,980,
133,221,697,842,776,241,966,499,650,828,965,991,911,468,312,234,859,330,856,
180,102,404,953,118,476,074,690,020,169,679,685,755,994,340,268,071,516,931,
981,423,937,966,976,854,233,885,091,462,704,962,242,141,783,203,662,931,388,
159,554,020,578,239,307,737,224,332,784,132,073,993,651,788,016,173,828,478,
585,477,001,019,511,038,676,599,007,818,795,813,271,442,242,522,987,564,409,
057,098,996,903,963,878,399,741,983,962,167,982,658,094,041,355,700,564,608,
681,083,297,359,050,254,016,539,771,328,409,656,080,829,142,641,000,445,459,
189,498,387,320,202,490,183,441,614,329,704,960,915,070,195,586,313,055,248,
959,357,315,969,191,456,879,534,487,694,093,771,178,282,832,385,650,036,959,
937,155,899,004,072,844,525,910,690,608,686,045,980,866,862,051,376,265,013,
533,207,142,804,309,291,742,052,468,308,316,450,106,912,669,369,008,918,490,
035,630,365,925,565,872,228,857,969,702,013,819,967,839,722,661,715,289,797,
061,118,964,902,969,511,311,372,527,767,242,515,484,593,613,560,420,399,613,
017,119,080,525,149,008,303,179,767,100,915,817,467,496,466,686,963,774,673,
374,676,772,528,133,934,762,350,993,473,187,351,481,238,328,059,972,804,139,
663,143,830,414,507,537,137,270,902,095,804,570,122,444,831,032,828,053,659,
200,483,469,930,540,281,766,362,152,786,305,913,682,207,108,296,389,557,539,
111,621,089,266,318,811,508,160,049,895,443,996,028,264,853,074,020,959,130,
635,334,931,249,697,230,993,729,230,966,805,885,295,110,836,974,296,076,660,
881,180,564,638,130,112,620,001,092,612,549,176,988,412,224,826,085,741,447,
106,177,774,710,967,065,379,706,056,384,225,265,683,083,781,283,570,847,915,
854,762,502,307,270,186,949,928,944,270,263,969,447,150,039,800,350,381,261,
705,463,378,903,036,818,263,891,506,821,535,827,464,136,709,176,364,354,701,
199,510,371,395,186,849,604,763,027,446,864,313,258,689,008,463,982,276,291,
324,160,886,463,288,977,732,647,866,463,038,159,735,893,479,476,987,631,276,
876,477,374,093,336,357,218,534,774,909,870,431,486,556,790,228,396,290,688,
802,857,320,306,965,090,033,809,864,741,841,801,037,373,453,313,949,295,249,
124,329,031,822,740,689,456,524,103,407,823,612,092,038,752,466,395,985,919,
931,248,741,189,816,293,284,985,208,360,792,741,628,657,077,547,106,747,207,
182,500,092,696,610,199,187,979,700,048,547,134,138,232,817,273,321,230,668,
423,551,983,683,591,440,748,834,286,785,204,652,132,992,845,477,299,059,794,
399,900,512,900,709,539,049,342,096,537,916,502,534,354,362,465,239,239,418,
030,063,926,218,685,808,137,215,999,027,218,347,470,242,059,827,401,580,094,
270,939,562,066,008,942,163,509,958,591,046,964,827,292,108,733,444,814,751,
598,211,360,455,453,112,923,988,262,689,292,716,324,822,738,033,016,264,161,
799,328,288,551,929,710,017,176,032,712,172,919,006,496,424,971,630,676,887,
832,276,668,639,474,434,233,057,258,239,708,555,579,217,073,354,289,194,714,
953,205,711,105,233,413,161,370,521,179,001,624,452,555,419,200,277,697,469,
204,889,617,340,396,330,270,651,253,322,495,744,866,006,333,692,748,286,518,
280,750,685,783,915,104,986,288,022,774,217,280,199,136,195,092,519,293,378,
614,816,742,259,199,570,223,658,311,320,709,321,929,397,088,525,876,247,262,
792,492,172,689,600,333,524,120,547,755,269,612,940,723,124,227,293,462,267,
652,156,655,440,039,813,531,103,513,799,823,859,353,902,572,230,376,855,580,
093,587,848,055,663,844,930,189,862,170,269,616,789,260,458,299,702,824,443,
100,267,735,843,231,156,788,083,738,772,068,681,906,243,065,813,377,632,732,
895,318,490,485,868,524,145,868,695,225,578,944,844,350,789,251,678,666,964,
949,780,659,809,982,342,809,449,289,517,799,373,546,907,492,611,792,142,988,
248,630,132,384,560,380,017,056,965,589,787,526,608,655,510,085,758,793,756,
360,451,008,756,287,837,164,639,130,845,867,759,505,481,998,490,137,375,593,
385,095,569,750,474,031,498,595,581,630,228,362,007,936,362,880,683,036,207,
068,418,151,478,214,166,795,992,263,621,759,624,910,694,397,195,821,259,333,
430,009,120,064,265,733,020,891,742,175,781,977,368,713,911,996,372,724,911,
615,309,661,230,523,117,537,767,799,114,741,970,125,922,407,532,898,895,791,
765,429,322,659,956,199,645,898,496,503,661,943,630,741,843,095,147,656,697,
404,935,799,763,548,419,111,680,742,274,957,640,435,328,349,243,305,879,831,
334,986,272,603,063,826,627,834,901,180,187,196,643,661,440,615,792,526,779,
838,101,060,070,413,127,607,501,613,552,603,547,657,582,967,798,102,619,385,
521,455,918,619,658,019,651,559,741,701,616,486,925,810,391,192,998,880,203,
834,583,855,019,803,334,352,551,393,965,225,296,352,048,511,567,147,008,530,
355,417,412,242,952,079,316,880,184,150,031,663,124,207,070,995,068,684,554,
023,553,669,400,147,219,058,529,878,827,600,785,632,649,272,894,858,309,284,
498,714,595,208,480,389,309,141,429,979,833,082,530,952,740,030,256,795,820,
560,184,561,926,003,983,154,561,956,621,040,461,551,555,711,254,778,699,438,
581,502,320,009,440,959,102,724,477,349,255,389,977,193,114,452,444,276,763,
575,605,641,555,860,818,118,479,428,448,093,738,749,761,554,496,717,505,093,
223,157,787,834,878,060,375,234,137,117,045,725,268,941,440,185,198,471,213,
588,823,549,960,574,084,561,568,089,538,125,667,101,148,647,688,236,487,488,
059,475,306,371,811,248,985,660,955,301,615,750,517,167,157,940,349,044,986,
410,793,934,250,941,843,900,828,162,688,580,697,883,044,943,262,505,727,574,
950,266,170,648,715,313,181,425,936,228,677,646,304,874,957,702,467,744,994,
361,141,083,830,129,586,737,880,253,849,477,568,739,684,025,129,900,048,376,
528,292,013,411,138,840,534,754,701,862,707,728,331,250,241,369,784,241,592,
840,612,518,522,758,941,296,880,050,966,313,791,922,059,832,459,295,536,058,
558,554,244,618,487,189,466,489,093,213,920,624,319,296,345,715,494,651,909,
348,038,401,529,076,794,636,048,319,210,781,608,923,002,378,174,351,790,683,
126,485,067,578,877,331,963,853,016,377,219,362,091,801,144,113,844,862,972,
012,850,094,413,126,292,576,700,875,082,543,078,310,025,074,246,328,929,014,
947,952,525,573,132,125,309,763,922,360,498,091,722,119,926,655,482,215,995,
579,575,760,106,695,521,533,906,221,444,966,576,433,487,412,207,002,573,756,
960,147,736,682,092,439,327,765,317,064,313,265,015,635,113,145,207,276,395,
271,528,803,713,236,854,319,310,752,992,010,529,900,864,449,745,831,499,814,
071,337,373,197,575,659,958,505,450,368,629,814,834,634,992,780,456,581,714,
506,667,515,401,342,358,485,135,642,532,928,519,150,635,377,555,380,944,965,
927,324,126,602,112,129,869,830,142,705,046,307,785,991,976,157,440,734,584,
049,324,061,180,672,524,529,856,896,674,076,317,043,582,546,545,899,461,460,
901,812,869,372,374,749,936,983,065,530,216,756,184,176,600,931,522,090,647,
402,949,041,612,727,400,736,775,168,893,944,267,359,489,624,953,519,210,242,
480,626,293,826,297,778,710,324,446,743,768,355,352,047,025,365,774,027,631,
533,647,079,128,208,437,286,068,839,276,366,721,796,958,473,318,758,230,080,
953,795,153,605,931,072,160,125,374,764,766,743,161,524,070,246,485,720,908,
186,255,806,901,774,028,304,697,882,106,233,938,323,096,793,224,265,173,587,
921,419,694,463,304,230,465,025,617,459,004,860,801,593,943,774,027,784,598,
992,722,743,549,407,431,237,081,431,750,495,644,320,051,246,073,053,968,175,
259,785,214,555,844,729,957,883,812,727,429,849,037,631,074,371,409,688,464,
947,975,442,517,020,896,670,943,088,024,784,479,789,415,722,754,464,901,487,
804,318,280,615,838,768,140,589,008,678,927,567,542,294,981,739,241,934,008,
463,482,829,163,845,972,117,387,583,493,698,385,015,675,281,542,297,540,345,
156,642,725,392,116,642,969,996,246,150,466,252,915,706,594,362,565,723,323,
538,303,292,596,672,435,475,447,324,058,593,602,893,576,091,492,205,643,250,
488,115,229,768,737,120,457,845,344,406,436,069,561,949,222,354,189,839,894,
314,219,886,712,330,017,839,948,081,963,639,953,078,948,109,258,634,559,060,
295,707,546,673,033,809,902,838,754,686,411,479,226,869,122,434,166,050,608,
367,955,415,940,534,632,338,137,518,059,351,251,295,314,471,594,808,409,223,
198,280,740,442,154,231,419,128,073,379,865,793,080,572,979,555,166,387,743,
125,464,267,493,337,972,156,986,430,549,625,036,948,392,281,309,736,486,750,
901,523,344,076,706,104,513,335,628,078,521,299,199,995,700,249,417,291,696,
518,713,527,404,113,579,387,945,448,295,063,624,747,691,407,038,658,219,149,
976,187,429,752,813,355,446,933,315,415,590,629,269,338,318,014,766,093,657,
548,854,342,796,371,777,014,998,339,606,471,039,786,892,553,229,629,648,935,
257,517,096,539,352,925,404,082,315,188,579,177,456,250,587,624,680,508,456,
140,059,145,850,397,661,283,975,139,611,103,166,340,058,744,542,518,826,859,
919,253,099,097,939,221,735,253,721,618,181,150,422,553,855,035,937,736,911,
143,665,547,608,712,719,648,432,206,486,757,614,443,072,126,967,816,641,608,
713,020,517,681,711,118,194,867,267,362,453,082,118,508,858,379,953,172,050,
608,974,559,258,054,130,493,273,075,269,038,337,398,645,589,885,190,482,470,
728,392,239,473,203,155,868,001,757,519,532,975,756,293,714,887,793,738,503,
730,691,341,595,831,496,226,888,176,455,393,000,476,854,787,810,089,346,125,
511,134,433,796,900,339,810,493,968,901,038,063,200,181,203,781,353,577,533,
354,727,134,573,865,300,866,069,228,064,977,059,310,984,266,119,302,092,653,
095,970,109,525,621,737,047,676,033,811,750,140,914,250,973,763,223,569,413,
753,870,683,385,315,950,756,969,106,002,158,298,363,632,897,986,103,676,893,
691,184,822,726,323,846,696,934,798,963,459,748,327,181,867,538,781,730,315,
925,809,349,176,682,986,999,946,618,646,065,605,860,025,160,515,647,306,873,
510,345,770,327,801,732,945,552,327,839,396,858,717,772,514,007,391,743,096,
966,638,573,929,808,139,961,405,342,755,714,687,375,944,942,883,057,302,455,
063,977,107,604,580,647,142,013,738,687,229,582,591,425,370,532,763,705,871,
786,942,254,677,485,313,527,234,968,600,177,616,960,131,955,424,510,672,123,
047,185,567,992,940,597,313,050,483,107,345,794,466,796,820,301,999,894,807,
170,049,662,325,980,989,586,770,224,752,460,046,755,075,022,360,318,672,751,
142,454,202,266,270,563,646,346,251,967,769,973,308,953,424,410,337,598,008,
270,853,173,559,586,235,096,777,059,282,156,237,712,203,146,275,622,892,848,
911,412,288,838,223,458,124,975,891,518,334,973,484,289,122,226,708,872,728,
817,187,315,381,335,161,911,315,275,138,459,257,524,985,992,673,142,128,159,
412,132,917,193,496,152,059,824,552,568,517,166,999,471,828,786,359,565,276,
027,413,320,241,671,855,932,733,208,554,765,930,097,231,958,198,754,942,468,
293,963,678,895,599,825,114,374,735,383,663,983,006,765,603,136,397,507,188,
480,088,836,510,847,519,337,621,885,484,896,307,247,343,056,352,415,912,625,
737,489,828,666,552,501,223,479,210,775,886,123,491,206,582,314,172,388,532,
682,904,497,173,343,520,455,988,568,323,052,213,043,481,457,150,246,299,579,
727,423,115,795,376,654,347,620,976,961,226,488,332,831,705,754,890,332,255,
575,074,781,275,871,063,146,068,774,758,158,389,286,930,284,189,869,801,552,
446,614,963,480,396,849,637,560,329,050,782,536,769,023,396,947,723,523,432,
941,226,767,032,237,751,408,165,006,217,077,166,416,647,707,936,314,631,604,
451,645,916,006,606,006,024,005,894,443,884,002,949,813,847,219,239,099,973,
641,356,050,215,305,365,143,139,456,466,445,021,274,459,716,758,087,622,914,
253,526,711,705,536,441,998,957,864,270,240,936,311,371,727,883,320,586,182,
816,090,043,569,007,869,574,867,670,529,971,169,748,108,733,889,254,373,589,
326,179,960,804,269,235,923,838,012,531,907,270,319,133,960,164,402,534,864,
248,325,885,921,681,693,614,458,545,795,336,721,398,326,526,632,635,188,886,
492,212,128,356,260,797,275,667,045,922,461,136,596,396,884,693,527,265,282,
040,255,513,959,341,437,950,887,912,858,927,716,042,564,785,103,535,495,679,
017,361,397,093,179,286,299,711,237,637,604,887,652,481,772,800,293,597,681,
748,686,021,377,295,712,234,768,781,983,207,469,159,546,147,964,283,258,959,
048,953,645,042,545,915,446,659,223,877,988,919,126,307,109,114,996,594,875,
110,102,146,290,030,002,969,683,100,951,858,008,478,550,498,921,816,495,032,
678,561,375,668,975,395,202,239,854,512,471,863,785,540,852,736,395,187,426,
830,845,048,437,806,082,488,988,853,053,375,104,797,031,318,784,683,358,942,
670,510,805,955,610,412,544,101,593,848,700,883,711,807,715,930,798,081,059,
578,514,225,727,306,412,428,187,083,665,841,831,984,921,186,029,376,218,322,
666,274,904,410,757,229,956,528,598,844,603,586,193,432,837,949,926,826,227,
555,537,239,675,422,788,214,542,070,015,225,630,796,944,566,020,578,469,198,
581,399,794,758,481,764,233,221,703,588,687,327,881,068,739,736,811,841,727,
906,769,227,412,480,201,281,579,396,744,727,206,929,360,785,890,286,144,524,
358,561,038,281,179,588,884,142,177,444,503,305,638,238,197,105,129,014,476,
222,689,056,111,524,540,144,043,154,616,160,069,121,793,608,480,014,290,532,
175,820,429,186,714,007,281,355,546,252,902,567,460,884,954,724,964,192,404,
842,081,629,882,361,938,354,006,221,922,175,032,760,027,840,105,442,392,914,
024,684,328,116,060,754,755,583,107,687,057,373,684,413,960,147,180,662,455,
997,720,421,158,273,441,880,587,541,353,089,143,092,161,458,800,216,557,334,
862,275,971,384,866,685,409,967,996,652,139,607,206,990,846,745,929,925,415,
934,593,845,586,905,427,851,801,161,250,899,396,645,895,916,683,708,215,248,
643,363,200,873,874,055,493,912,608,635,647,402,438,487,438,593,909,727,885,
777,699,096,512,714,975,938,239,949,311,523,445,937,100,809,012,002,174,375,
282,322,956,413,027,585,339,448,473,402,468,901,072,604,362,135,817,864,604,
563,865,178,581,086,991,510,607,164,343,294,018,750,777,743,010,579,209,218,
284,913,262,505,273,951,492,981,866,637,866,119,318,397,548,964,247,673,008,
815,477,433,702,055,527,272,783,669,350,771,450,827,264,963,169,759,585,963,
645,951,614,743,425,696,588,397,212,566,583,475,813,207,938,007,119,605,022,
974,167,177,636,779,625,879,602,260,795,045,877,821,970,269,102,989,338,949,
095,143,883,922,459,121,405,828,726,508,128,012,256,180,203,708,322,036,033,
131,292,340,499,522,599,302,002,513,134,505,777,340,562,238,842,673,602,829,
799,587,636,863,230,323,244,065,489,024,846,824,507,631,818,199,247,098,459,
995,626,208,680,401,877,945,393,272,141,812,136,536,041,238,874,331,501,196,
256,734,734,843,965,463,636,030,730,243,384,452,789,217,424,555,627,902,515,
361,830,544,283,228,248,951,647,255,230,210,990,893,148,181,270,424,847,304,
483,733,764,114,346,116,012,211,664,205,423,644,574,939,048,311,074,937,818,
977,304,479,217,923,952,955,537,564,810,976,320,520,064,986,207,252,926,766,
027,051,598,787,538,024,351,004,648,305,942,769,412,170,490,776,591,335,185,
448,879,096,746,341,400,489,315,380,517,900,658,363,753,057,775,213,119,658,
609,014,205,506,191,978,194,698,230,958,276,996,222,703,172,594,000,448,512,
262,759,968,076,520,424,840,685,218,748,203,979,200,899,310,014,327,734,805,
337,463,070,520,748,820,722,357,538,530,645,544,421,082,128,982,637,571,598,
555,686,607,890,990,743,955,519,711,614,498,577,517,732,196,272,624,009,041,
099,918,552,400,525,549,246,420,121,691,668,638,503,044,649,078,201,495,638,
306,003,390,023,800,009,185,915,068,480,040,888,658,153,575,084,660,862,177,
701,439,352,974,367,162,283,505,276,415,989,384,660,883,152,126,316,495,703,
786,967,367,070,584,578,764,279,130,146,978,668,852,146,966,734,074,538,829,
616,021,494,503,202,869,045,495,880,409,430,498,614,548,380,256,213,630,923,
048,410,822,924,886,173,745,753,730,218,953,247,209,656,433,195,011,255,336,
137,219,844,437,595,040,738,535,211,071,175,846,543,090,374,004,340,484,333,
989,900,189,375,766,447,944,070,460,868,903,818,380,661,072,261,687,305,993,
456,367,643,890,550,680,838,453,024,357,447,184,972,889,908,005,192,466,834,
985,498,913,436,618,387,957,825,000,195,192,878,128,441,969,148,827,852,376,
956,088,042,048,221,825,163,481,270,371,478,846,803,821,373,339,652,617,540,
599,569,151,196,181,087,906,746,414,371,056,829,335,716,026,309,889,372,555,
076,383,369,425,783,964,902,306,591,396,747,047,291,203,486,026,789,575,680,
730,974,869,331,294,353,615,880,335,203,816,770,950,877,717,254,192,299,589,
026,617,582,322,429,351,242,177,370,033,980,190,152,791,562,526,951,492,608,
144,383,078,160,834,463,052,827,090,754,430,269,419,555,495,822,259,306,415,
293,120,399,172,316,462,434,734,020,107,758,794,235,755,649,371,924,300,107,
069,605,070,660,359,632,606,064,086,113,783,446,863,905,213,025,151,094,074,
439,618,105,064,085,988,092,794,922,081,187,791,896,285,398,153,055,695,610,
340,044,324,208,356,818,996,230,993,117,294,365,404,496,206,870,675,951,166,
735,703,999,080,245,789,638,963,788,166,540,067,274,843,202,312,242,987,804,
964,522,441,478,596,450,641,223,092,955,137,150,281,394,511,390,376,141,944,
392,671,042,430,217,102,075,333,432,443,891,671,360,167,830,707,122,445,469,
995,692,856,057,968,330,228,304,121,620,905,331,108,391,205,090,443,865,382,
880,548,104,178,475,010,733,419,894,554,492,518,609,038,872,005,439,542,106,
519,621,366,407,160,187,951,242,049,880,202,169,041,626,399,884,627,397,719,
163,385,401,856,206,500,824,684,903,775,536,983,896,176,426,785,906,824,055,
094,777,313,932,211,707,021,174,448,697,858,954,750,796,704,025,298,642,270,
893,912,176,503,059,679,612,047,933,489,731,475,776,106,178,389,025,201,886,
510,857,759,618,182,772,071,628,460,236,821,079,476,404,257,062,101,437,798,
466,721,386,535,510,340,526,239,799,400,415,288,961,216,482,665,278,407,094,
220,938,394,407,361,272,668,667,461,340,258,531,993,467,698,621,367,023,383,
387,170,216,445,434,264,338,519,777,293,336,103,326,004,677,465,349,496,750,
684,410,739,626,393,497,194,966,026,236,854,786,275,558,262,776,592,531,108,
912,423,623,597,876,071,161,083,164,186,716,630,558,296,728,883,848,084,370,
033,523,100,808,550,235,269,272,133,998,552,485,337,678,318,408,984,635,879,
069,788,261,049,197,528,777,938,395,569,294,649,896,288,216,816,084,213,278,
237,922,994,263,704,714,779,566,010,362,709,081,029,088,084,730,713,402,106,
377,295,280,849,553,284,973,635,223,293,778,460,109,384,134,377,970,083,590,
456,204,379,413,012,392,763,254,002,891,149,581,940,758,319,115,311,422,573,
069,895,271,598,426,559,815,687,833,871,790,816,687,655,517,402,482,850,097,
043,288,433,358,751,847,533,017,466,453,642,348,270,445,897,651,708,088,933,
739,621,201,266,322,176,820,922,005,798,137,574,363,780,050,058,477,654,720,
542,999,009,532,219,747,326,204,976,153,592,083,709,129,229,135,718,195,563,
472,421,653,647,797,957,598,948,195,832,814,269,055,515,485,688,075,755,014,
073,361,076,117,967,307,500,127,992,298,645,506,660,858,789,903,241,024,944,
380,389,882,021,435,143,302,616,975,744,551,109,000,626,919,226,085,232,214,
412,916,741,181,063,088,827,760,605,166,506,224,782,398,519,900,275,863,093,
109,985,596,283,621,586,877,695,611,966,621,764,816,370,037,032,836,858,686,
404,105,881,131,760,131,315,416,545,975,250,606,342,769,446,868,553,593,334,
914,650,722,186,574,893,202,559,998,456,793,623,084,670,181,921,348,111,210,
138,600,435,234,303,480,818,398,341,757,314,182,440,498,061,251,219,193,564,
362,584,080,227,239,522,295,802,606,305,542,502,958,905,982,415,047,769,781,
439,007,046,655,826,970,701,124,505,422,275,517,111,437,368,534,720,814,662,
147,105,085,674,358,921,687,132,289,468,064,917,641,443,408,478,417,941,742,
641,756,180,880,183,044,129,465,157,258,158,792,453,187,650,246,116,498,537,
517,443,628,872,525,106,523,720,585,766,888,467,507,962,082,637,762,450,415,
698,260,329,444,131,698,966,165,965,106,864,811,726,897,889,240,661,340,583,
799,088,460,012,319,040,927,069,764,922,818,893,880,743,647,688,585,852,915,
336,539,611,219,571,588,413,659,856,524,301,250,397,029,842,797,417,144,395,
383,054,786,163,877,394,024,110,356,223,777,441,152,125,976,340,275,844,307,
484,579,608,512,808,889,784,955,750,366,447,129,198,510,288,899,573,429,416,
902,911,225,984,705,019,785,503,244,304,906,714,133,075,091,362,761,861,836,
215,735,885,536,916,808,922,933,084,926,207,405,912,244,315,272,264,540,206,
616,731,259,633,858,940,430,422,678,574,674,152,371,442,595,802,320,245,419,
699,854,453,572,482,757,182,249,734,902,117,295,385,047,266,692,293,933,222,
781,192,411,065,995,976,340,713,292,842,961,587,708,129,645,699,160,910,093,
220,977,185,350,961,226,760,197,408,175,398,733,756,922,177,166,292,218,371,
579,913,815,564,162,955,219,589,083,196,803,685,583,199,040,673,563,406,352,
492,862,849,596,855,879,079,483,185,614,837,258,484,770,095,356,761,657,638,
866,562,665,961,585,086,026,711,266,421,369,207,702,707,985,299,916,297,455,
932,661,112,816,247,385,288,098,896,606,511,655,734,519,470,009,137,677,564,
848,147,246,621,994,174,804,964,115,820,724,147,805,958,599,160,899,017,182,
073,889,634,465,066,416,405,869,990,562,052,295,993,594,716,003,800,571,682,
037,143,128,433,528,324,023,578,757,557,203,576,384,697,936,313,659,455,602,
818,532,590,423,437,030,274,153,878,497,043,890,451,322,134,252,233,128,579,
594,868,909,923,322,219,721,541,201,506,736,703,921,212,399,835,520,688,073,
894,382,547,432,848,969,035,521,899,603,438,272,480,436,799,182,132,757,425,
186,808,938,415,569,941,218,394,210,168,803,044,769,718,912,181,461,132,192,
585,313,193,686,518,610,935,891,139,847,783,744,466,782,806,456,754,706,029,
462,435,789,662,692,374,786,779,361,910,221,218,805,988,915,411,162,731,387,
604,959,105,301,403,590,863,940,197,921,984,412,036,855,427,110,374,220,550,
488,101,473,643,806,081,433,245,362,447,267,855,844,955,360,726,984,315,168,
885,297,692,863,803,226,827,231,169,282,867,134,083,086,716,400,888,346,826,
812,885,444,183,278,053,481,985,114,217,019,736,081,824,412,707,140,444,259,
369,389,233,953,801,534,014,384,347,801,359,671,505,886,843,348,653,822,669,
615,658,206,276,640,328,652,103,159,405,162,434,545,498,120,856,387,257,561,
963,201,978,803,619,159,709,429,893,188,033,790,516,103,469,453,000,766,480,
882,684,502,412,863,565,922,846,987,841,792,775,586,541,987,016,083,906,424,
518,463,694,064,304,597,913,330,657,680,615,416,506,393,226,985,719,178,628,
274,776,545,084,646,931,843,953,495,743,941,651,956,549,675,114,881,658,034,
853,463,561,713,294,018,852,448,469,311,743,274,983,833,268,740,655,863,259,
223,852,223,790,828,842,479,270,960,878,934,858,597,597,432,723,548,941,368,
145,548,236,278,480,874,591,720,152,496,479,461,530,055,823,770,987,070,291,
929,704,521,956,503,338,517,273,828,154,262,121,389,189,938,185,125,978,567,
958,232,876,125,950,854,272,697,293,594,346,699,380,903,303,184,884,451,227,
001,011,459,326,985,433,029,097,652,563,392,814,339,787,246,670,390,506,347,
781,930,478,879,618,618,435,149,213,392,724,585,895,938,404,868,471,045,016,
236,201,837,830,185,408,455,428,779,718,709,565,275,525,044,469,012,713,602,
324,045,111,631,381,055,885,609,295,355,730,802,736,251,221,907,137,617,278,
099,092,916,293,407,854,214,626,570,850,301,979,491,566,828,635,203,817,794,
036,544,478,637,190,871,523,022,388,823,535,220,476,897,129,094,487,102,922,
817,264,271,488,759,156,927,730,718,683,725,476,931,935,589,323,754,696,959,
212,850,997,338,228,284,799,965,362,170,834,002,948,802,666,617,018,615,419,
552,589,166,590,568,633,757,062,669,583,199,945,752,026,794,782,546,279,037,
699,883,229,624,836,176,946,326,187,803,588,308,638,069,224,288,223,083,507,
768,668,385,287,706,775,906,694,180,405,733,236,037,452,200,615,739,085,553,
962,505,854,278,646,011,963,911,810,933,846,254,452,788,046,899,038,397,674,
625,534,419,403,859,078,884,734,281,333,193,684,581,025,824,419,464,147,050,
897,896,892,709,240,293,019,912,383,028,679,018,593,247,183,153,949,652,167,
675,744,466,296,767,453,127,240,676,821,277,770,801,298,565,352,522,286,015,
454,075,063,671,257,167,842,561,976,723,859,471,670,085,201,163,639,624,954,
504,852,293,667,150,076,283,897,605,395,509,272,340,972,816,587,752,810,959,
508,658,916,740,556,664,614,565,909,467,250,849,216,353,964,218,581,233,501,
822,076,853,412,133,070,285,606,900,721,714,363,339,208,260,470,441,027,856,
119,670,768,596,229,596,427,669,225,155,234,258,764,339,119,687,721,211,399,
679,323,037,385,596,220,552,092,956,562,160,181,353,141,902,632,250,353,174,
148,079,591,619,660,784,840,833,176,067,705,455,876,555,297,679,975,481,753,
197,698,797,477,664,285,388,501,607,011,212,332,166,077,178,294,286,887,856,
452,075,385,940,354,705,437,328,411,972,455,825,153,726,312,262,129,663,542,
861,490,637,604,015,500,326,740,671,371,095,194,625,614,193,657,238,200,403,
514,122,991,537,120,339,295,342,534,308,773,010,670,097,890,588,966,758,152,
911,310,013,644,501,592,524,338,413,791,016,586,542,611,584,835,336,861,829,
312,522,796,154,594,127,216,037,301,304,964,176,081,628,209,982,517,646,067,
215,351,814,240,613,051,213,153,624,224,600,713,435,592,587,581,875,484,957,
555,849,349,524,358,232,844,596,397,449,410,760,134,051,972,836,150,849,435,
035,944,332,176,774,493,711,864,995,580,379,425,635,068,911,849,132,731,949,
266,322,814,397,624,573,573,716,246,340,507,959,996,445,236,615,265,251,162,
650,141,882,258,008,092,064,271,402,357,781,725,222,742,775,367,934,680,147,
226,058,657,568,959,538,472,715,661,967,128,667,200,402,366,274,476,289,669,
381,590,620,084,863,377,929,897,581,449,483,820,837,913,404,773,497,348,113,
122,905,574,337,561,443,115,940,738,347,172,755,239,714,096,175,633,139,658,
412,460,207,347,561,652,514,633,995,573,486,213,569,437,029,344,375,419,558,
283,488,216,935,447,393,657,195,732,862,569,178,182,035,166,116,053,948,813,
159,583,317,901,492,678,462,364,997,534,011,224,810,551,000,020,166,372,463,
438,887,962,441,895,480,609,818,248,950,472,132,667,104,341,952,251,652,369,
161,120,779,126,533,746,228,273,211,863,028,819,654,684,633,762,014,617,228,
090,341,062,138,986,959,342,556,853,763,434,868,645,850,576,748,121,430,974,
447,969,498,091,733,826,215,379,195,080,710,899,580,212,045,438,181,024,772,
182,005,848,062,265,660,591,662,596,569,146,020,380,522,088,797,990,157,769,
985,657,543,985,489,289,088,312,673,730,960,832,330,381,036,114,915,597,397,
492,553,806,237,985,008,933,734,357,347,201,549,360,539,351,036,346,924,467,
584,838,030,401,999,678,622,434,480,483,197,665,842,187,075,679,467,365,692,
640,025,385,915,311,145,169,705,643,326,832,260,277,663,644,322,412,472,512,
155,756,831,763,679,590,569,686,248,218,144,354,322,418,768,261,434,706,709,
309,920,252,824,104,317,017,844,011,561,269,517,690,204,171,563,292,244,932,
168,203,678,525,722,644,061,998,681,078,261,794,597,078,265,617,461,434,277,
576,541,551,884,374,880,390,766,006,232,924,323,063,894,645,837,370,298,841,
671,871,586,773,314,923,620,508,668,482,432,244,321,531,871,323,220,563,430,
973,782,423,402,253,524,191,963,670,732,042,712,554,754,821,624,808,807,838,
715,318,254,953,638,894,426,849,769,260,172,984,257,203,298,948,368,657,459,
357,369,316,071,249,831,108,256,446,792,956,371,215,169,871,795,822,286,559,
559,916,380,653,961,428,528,458,082,989,089,721,792,133,289,948,310,409,706,
459,951,525,962,503,099,424,672,106,405,505,924,412,885,115,916,380,742,409,
416,536,435,908,789,332,242,451,857,604,142,053,757,088,616,792,565,795,895,
465,660,096,908,261,352,514,463,298,214,772,923,599,742,359,185,276,744,582,
490,120,153,832,176,101,643,452,399,430,212,463,118,247,303,755,849,199,162,
506,284,186,032,979,774,312,026,831,741,997,495,951,218,262,413,394,057,399,
554,379,336,552,201,312,870,384,448,533,044,250,075,810,690,444,599,697,582,
265,275,324,330,937,829,854,825,241,259,984,970,223,099,919,677,605,273,623,
521,831,113,705,598,638,187,747,181,197,882,925,552,718,697,561,651,509,253,
420,368,022,032,563,882,809,343,030,028,388,086,490,320,544,919,503,001,863,
879,659,136,932,013,001,838,789,031,684,148,891,307,135,350,488,903,229,704,
857,353,580,046,509,166,953,393,356,874,064,111,092,589,880,761,728,862,252,
873,338,146,436,549,127,577,639,853,523,450,487,198,739,133,753,051,112,261,
423,700,037,981,862,585,531,873,436,139,398,007,697,841,016,626,017,342,909,
323,018,565,580,799,206,884,272,799,530,234,752,588,042,521,242,516,658,453,
469,244,969,025,930,803,035,716,160,138,228,729,638,028,246,619,382,262,358,
287,669,538,154,958,920,070,831,101,544,066,749,110,271,828,404,831,824,067,
106,802,369,231,224,586,779,042,958,529,364,490,151,353,378,882,659,263,899,
351,008,685,368,937,338,849,660,789,908,231,459,607,776,381,341,829,067,006,
659,981,542,109,363,850,392,891,842,913,122,547,172,640,321,809,707,763,690,
183,488,352,874,533,591,504,671,201,579,489,985,601,834,746,890,642,897,713,
127,535,903,551,927,589,789,184,108,539,071,589,199,657,481,844,635,677,861,
777,848,630,762,141,958,591,295,272,788,186,544,921,125,164,974,983,962,837,
898,570,439,408,653,654,583,177,733,602,543,152,548,350,794,731,716,762,323,
895,577,019,071,962,138,963,539,659,447,302,053,377,918,093,270,337,686,676,
040,284,581,983,101,981,267,420,116,117,739,860,370,848,980,488,882,985,825,
869,879,747,430,124,216,356,370,925,040,144,941,853,035,263,526,109,922,159,
056,030,383,053,805,877,706,287,763,459,257,790,486,247,415,310,751,262,429,
420,825,062,881,498,475,723,684,673,576,293,251,951,980,022,793,255,596,877,
440,664,818,910,389,547,708,729,697,321,969,587,539,235,735,392,275,582,853,
737,476,483,006,732,341,954,609,997,853,077,849,315,266,216,211,645,110,537,
070,712,451,620,111,661,837,768,593,100,546,334,992,790,476,599,134,513,628,
272,678,941,893,693,851,385,741,770,444,662,069,491,525,391,797,293,825,968,
501,341,990,292,210,788,049,996,121,398,937,544,338,426,373,967,068,997,360,
080,263,484,714,143,684,408,316,148,538,655,860,237,931,151,123,030,363,675,
996,508,402,913,043,625,892,719,353,679,852,387,814,123,972,485,132,890,117,
431,307,832,521,833,339,961,376,017,085,155,206,467,097,604,175,844,741,346,
696,026,331,804,115,973,494,637,523,605,505,319,228,574,588,576,186,036,261,
450,102,010,767,871,341,051,838,848,536,282,993,812,804,159,029,186,099,062,
727,478,322,065,618,432,801,554,067,301,859,278,388,838,055,796,222,329,470,
949,811,331,227,938,452,547,694,821,119,177,388,994,291,660,593,163,992,570,
278,307,843,802,722,385,574,695,584,224,536,246,757,344,843,367,380,977,410,
624,458,652,224,905,151,436,182,181,764,108,567,429,441,154,041,002,354,917,
346,887,193,985,303,017,494,301,560,861,878,018,755,846,104,782,811,536,382,
105,219,827,743,924,665,198,393,050,082,831,999,779,488,257,228,430,395,165,
821,814,022,483,023,301,080,919,345,998,867,380,907,831,607,137,413,289,963,
443,623,041,238,689,542,070,240,685,526,339,380,027,589,029,245,033,683,469,
862,040,008,800,185,094,175,054,333,907,784,361,874,109,018,704,268,454,350,
917,244,308,556,413,687,021,301,190,843,163,674,793,558,081,245,671,568,630,
840,017,783,752,223,379,926,189,305,461,342,389,184,209,116,543,125,233,822,
422,744,755,918,586,068,195,237,997,050,482,377,865,463,010,589,675,854,402,
194,286,382,409,167,859,378,185,062,141,842,749,463,231,500,520,567,917,413,
371,709,760,283,925,657,009,236,765,165,811,657,572,691,543,308,110,142,145,
280,372,221,221,350,734,889,885,533,098,371,659,360,397,991,598,776,635,761,
824,896,019,888,235,547,444,826,974,841,808,452,313,405,755,824,085,995,954,
132,358,510,799,705,876,855,170,823,271,818,638,929,277,465,635,357,241,176,
503,153,789,102,362,273,929,351,803,573,462,043,789,546,853,444,999,860,954,
946,441,543,933,843,188,426,348,949,149,842,000,632,987,056,170,441,142,763,
384,271,876,131,469,482,287,302,478,484,356,691,637,552,027,375,329,514,261,
104,569,735,830,480,181,040,455,214,420,815,511,119,993,615,381,763,243,017,
947,329,096,796,139,553,379,026,018,510,558,680,620,021,521,140,999,487,060,
190,902,108,590,652,177,957,354,590,196,159,953,069,767,733,946,126,556,093,
361,212,277,157,226,168,157,829,689,057,367,650,309,719,360,316,912,964,269,
250,254,363,737,750,409,379,562,493,858,398,485,909,104,371,643,793,712,245,
613,958,209,403,288,840,859,990,483,207,729,340,093,418,617,015,313,541,059,
255,461,608,054,326,497,363,225,027,486,049,820,963,582,812,630,894,046,730,
280,791,058,610,520,148,344,965,920,919,838,287,233,173,586,219,717,931,634,
271,142,406,458,969,333,541,782,604,060,120,929,840,280,775,199,647,549,905,
603,129,158,640,160,772,177,936,097,524,224,898,113,303,860,137,734,511,118,
047,887,809,442,365,056,041,198,603,514,053,569,275,361,540,627,435,730,998,
158,783,391,315,799,969,588,833,313,130,102,511,568,493,707,635,154,988,496,
692,898,465,039,676,678,347,570,682,222,451,912,788,365,677,244,203,030,918,
942,586,533,959,706,868,839,987,038,295,434,989,830,204,724,304,737,269,969,
960,570,555,464,564,188,173,438,614,526,628,006,304,007,040,303,717,566,635,
908,289,077,187,748,040,005,419,027,761,633,568,687,445,003,899,141,149,617,
430,646,910,145,115,215,147,097,695,360,597,638,154,996,281,933,044,825,761,
604,306,652,451,793,007,293,145,922,157,673,967,952,876,975,034,874,632,359,
479,753,611,318,790,440,962,024,495,299,957,373,948,678,630,215,458,025,044,
663,378,906,031,211,329,036,854,063,215,808,430,132,971,457,676,929,360,571,
601,740,385,850,422,065,184,626,227,250,881,418,755,254,533,839,072,132,798,
778,821,251,248,541,536,316,048,884,003,601,142,913,451,719,601,028,713,668,
899,708,695,876,701,110,580,631,365,186,615,504,082,246,109,800,321,786,256,
235,170,626,664,654,679,164,430,603,695,187,809,609,491,517,074,180,200,325,
571,640,216,076,448,395,907,743,161,615,239,259,359,849,302,709,616,054,752,
588,341,861,065,832,790,913,021,413,124,612,472,138,644,499,231,649,642,260,
412,529,596,120,745,475,874,897,339,453,128,136,221,402,114,091,189,525,581,
221,975,112,018,549,150,102,093,186,010,180,212,588,018,871,907,270,014,215,
933,402,474,042,486,806,701,870,956,981,879,933,837,404,031,293,398,671,641,
642,766,606,321,297,863,402,606,778,814,202,378,544,650,975,595,192,517,727,
751,580,437,523,530,591,383,090,576,260,286,628,738,267,331,321,186,423,119,
822,436,400,910,415,199,534,145,171,259,136,557,322,799,809,332,582,769,986,
910,314,000,644,926,095,845,093,990,613,780,830,085,086,277,537,051,381,561,
029,516,676,598,959,243,358,248,735,333,067,754,765,394,230,621,159,799,935,
783,734,779,931,859,553,643,367,833,694,246,520,373,384,734,483,244,677,126,
342,990,117,082,573,459,650,899,495,623,133,259,836,036,418,474,564,114,675,
020,113,763,369,817,084,392,859,184,743,771,444,468,888,405,379,109,138,986,
649,626,680,995,893,521,016,786,268,085,365,550,719,311,828,717,004,939,919,
734,040,155,345,872,982,954,113,655,592,513,599,727,642,485,595,775,956,927,
834,155,532,675,136,171,938,293,869,820,165,482,856,604,965,666,707,048,059,
552,474,770,492,312,937,277,990,928,056,140,695,330,145,968,917,505,599,372,
549,008,200,041,222,942,950,699,040,290,644,898,385,448,760,129,978,690,118,
877,012,214,418,778,519,979,958,801,494,899,187,974,400,216,733,818,107,567,
245,480,023,205,083,717,871,310,303,396,126,327,813,052,336,419,776,200,204,
525,967,912,500,900,069,898,762,782,654,902,383,440,874,651,981,951,444,625,
657,427,972,721,347,281,754,741,298,849,566,079,087,134,257,391,346,344,469,
570,794,681,472,561,572,855,410,485,386,901,044,902,749,870,588,159,398,964,
901,026,044,286,839,101,587,724,034,965,013,341,049,050,935,024,107,616,011,
717,453,836,494,714,343,088,163,178,025,369,421,295,741,827,393,569,696,803,
677,417,688,230,465,524,238,966,206,421,121,417,166,704,615,178,528,189,522,
078,770,886,552,992,882,392,489,517,998,320,175,529,847,040,719,259,785,250,
411,433,399,954,054,565,684,230,272,676,946,315,360,090,473,740,458,116,386,
438,434,432,839,454,506,310,927,036,184,772,246,779,252,523,737,489,752,643,
976,870,032,462,915,698,411,208,304,200,805,510,980,285,532,662,361,724,518,
065,350,389,334,264,407,129,956,576,615,147,196,111,789,397,216,807,379,766,
771,964,856,413,655,505,578,721,185,811,058,519,857,894,651,344,646,176,005,
061,176,761,122,545,093,836,508,409,647,812,664,360,963,574,208,668,080,319,
667,439,781,194,943,325,084,131,098,930,007,562,816,699,974,359,307,557,327,
670,012,942,340,088,252,528,158,673,071,375,795,969,297,403,299,979,041,112,
435,327,632,651,868,210,175,340,855,308,629,630,498,654,896,209,441,547,714,
612,231,645,636,964,298,267,016,567,167,252,621,392,841,561,034,837,333,133,
961,107,304,800,914,249,117,247,736,845,018,714,522,398,376,644,170,357,688,
987,183,340,216,106,435,779,943,418,016,293,564,325,841,457,511,253,467,608,
888,921,181,290,361,674,623,280,546,429,154,115,741,426,373,629,255,828,280,
658,850,477,276,392,316,657,024,934,584,749,753,176,138,837,787,406,969,959,
020,071,870,624,154,958,395,008,119,470,239,002,677,576,365,173,065,905,099,
296,069,941,209,665,280,978,262,679,783,848,593,319,430,426,082,432,358,581,
660,833,930,043,897,080,068,077,640,323,886,453,576,150,223,151,047,135,514,
948,885,236,669,142,763,175,109,577,169,517,563,267,800,567,746,020,161,759,
064,961,129,520,311,836,840,876,419,771,237,408,973,830,662,489,928,191,983,
533,288,656,689,315,738,325,500,203,208,625,749,794,211,314,362,440,328,534,
655,556,503,021,227,901,960,261,778,754,695,092,361,374,816,665,274,968,771,
371,294,929,579,319,235,578,982,935,238,560,373,817,530,853,022,730,246,942,
062,241,019,583,025,949,702,432,789,502,840,923,811,339,759,658,523,654,860,
746,683,714,973,946,809,733,775,069,212,516,488,876,507,799,659,262,093,768,
502,429,516,303,637,814,195,253,454,788,315,526,860,295,759,776,859,209,639,
449,893,518,806,341,396,468,314,666,397,378,057,519,602,344,676,505,300,486,
156,405,342,263,270,708,672,068,464,472,627,515,534,850,177,026,657,348,594,
751,727,295,217,422,427,886,429,585,817,186,965,764,674,675,873,566,429,958,
845,017,898,261,561,612,951,270,541,057,147,446,673,461,943,424,375,348,805,
065,716,858,610,582,418,188,519,109,284,521,025,213,828,670,034,535,159,716,
654,518,923,167,352,486,963,850,669,288,698,628,647,038,255,253,108,397,314,
635,305,669,354,397,533,509,834,838,207,330,896,333,453,798,833,052,138,750,
797,182,974,024,702,098,915,543,578,253,256,248,413,876,186,947,322,740,131,
432,166,013,857,071,239,057,654,895,033,230,881,043,988,321,183,531,499,921,
019,902,015,954,523,917,588,576,585,269,238,530,156,119,024,215,118,364,390,
466,177,914,774,827,751,468,173,077,543,668,542,658,757,861,842,952,886,135,
928,594,351,261,042,538,674,595,405,980,658,863,152,107,347,796,685,631,693,
699,769,244,498,210,014,603,403,948,519,706,465,515,810,144,278,537,988,529,
389,979,258,669,784,260,388,306,247,570,392,137,260,419,378,969,277,226,136,
305,226,222,636,604,685,720,706,314,658,975,324,939,752,969,964,905,477,103,
385,497,324,242,325,312,108,353,208,061,541,542,886,014,236,689,096,635,465,
824,458,539,997,402,670,317,634,441,418,431,195,003,297,637,987,019,027,216,
062,375,077,106,034,577,100,548,306,747,608,601,067,766,910,120,206,952,117,
971,336,050,526,418,123,271,709,747,298,852,628,488,693,328,251,429,994,299,
621,557,848,681,702,414,905,889,952,530,070,270,500,436,172,505,176,606,245,
022,322,925,634,084,947,445,079,225,008,437,146,681,101,377,727,196,790,943,
905,578,785,292,850,058,437,349,051,564,555,767,462,185,169,147,717,198,279,
386,515,207,672,090,637,178,309,120,422,189,799,226,912,848,025,619,517,026,
200,289,029,167,242,073,860,456,568,615,911,139,561,594,522,265,087,752,375,
085,138,019,816,002,006,657,617,818,229,924,205,591,647,919,648,834,192,021,
134,902,165,046,450,530,268,399,712,508,730,141,804,539,089,070,716,626,939,
625,978,766,192,166,794,696,107,892,252,241,067,691,961,843,861,893,646,410,
850,675,965,779,194,738,457,634,805,821,382,734,015,355,600,502,793,022,945,
544,182,887,629,492,661,041,628,479,518,131,052,580,263,072,319,558,901,823,
355,888,126,231,633,386,655,205,577,630,276,832,462,853,428,013,859,939,553,
748,071,179,497,377,665,097,770,417,844,749,181,721,701,188,605,424,789,678,
849,457,643,094,408,298,839,320,646,822,723,535,704,281,850,026,741,244,807,
439,084,032,322,397,060,517,109,919,974,899,659,086,283,161,061,238,919,559,
567,780,975,390,504,245,001,575,669,176,001,476,216,410,078,946,793,564,109,
480,540,412,904,665,535,385,059,064,236,535,832,967,204,573,030,569,710,220,
689,584,401,296,013,403,603,552,107,735,079,013,955,328,131,153,788,488,176,
084,527,169,613,435,460,393,210,781,503,825,062,921,622,193,100,766,748,964,
304,973,406,798,990,465,746,063,520,092,039,496,884,371,619,845,933,980,647,
890,536,192,425,526,181,021,508,460,337,512,161,447,309,063,853,055,055,144,
662,766,022,443,555,477,972,689,764,701,416,466,494,805,876,702,743,382,782,
044,067,265,167,928,769,596,967,320,211,527,252,091,895,581,909,733,424,382,
970,079,967,465,923,320,044,383,098,472,114,867,965,604,966,111,617,861,923,
397,252,056,723,325,794,860,147,423,205,079,114,743,575,757,034,478,166,378,
781,141,450,540,623,354,633,506,918,573,516,827,503,051,752,094,941,846,320,
069,640,867,986,677,662,507,943,177,565,988,226,201,921,286,512,506,154,160,
005,329,156,271,184,584,056,735,117,684,639,881,619,665,754,561,981,852,011,
989,843,678,535,697,304,308,322,847,988,531,080,294,668,114,659,419,760,407,
746,806,357,450,538,885,484,154,940,810,991,445,263,858,249,622,868,762,834,
361,278,868,807,142,921,461,866,558,499,829,190,444,533,030,737,935,950,270,
528,836,678,939,657,885,624,187,368,843,669,559,506,832,108,125,509,844,183,
972,548,453,356,185,465,987,683,043,185,338,723,458,814,006,218,986,686,655,
123,122,034,440,170,823,701,247,271,533,560,194,713,218,035,338,254,065,274,
681,040,630,453,996,514,158,138,084,693,753,785,727,218,747,333,552,517,012,
584,245,636,950,202,619,710,848,033,999,486,242,615,108,356,438,148,731,121,
881,183,075,329,281,690,501,105,717,624,158,478,562,608,558,981,811,715,108,
540,124,297,387,963,559,895,505,693,189,284,442,575,151,668,631,220,883,859,
630,400,643,436,342,004,489,761,198,414,591,020,259,743,481,919,313,966,006,
428,067,735,194,611,612,012,669,323,513,367,477,027,664,070,709,482,621,305,
261,645,713,089,656,959,438,267,892,677,891,695,680,806,903,661,836,670,813,
726,584,158,097,366,665,993,285,847,994,354,695,145,513,175,637,288,274,235,
175,249,257,537,854,879,652,232,553,090,005,891,723,472,894,688,499,420,766,
086,576,041,959,803,850,623,796,624,221,083,141,985,322,069,662,599,879,886,
186,628,013,378,889,092,764,977,873,802,807,202,258,416,187,019,791,630,803,
613,603,751,762,077,897,229,528,048,736,729,243,122,674,987,478,576,103,279,
077,849,189,433,688,593,976,066,303,066,480,985,440,528,911,725,939,697,098,
112,137,753,882,043,400,870,985,724,908,497,252,665,500,855,718,819,268,650,
061,654,885,480,019,065,906,389,338,228,384,230,220,737,155,235,281,488,771,
894,065,582,652,624,394,573,671,453,224,698,390,661,582,135,910,814,851,927,
724,872,880,651,013,886,571,822,096,992,964,817,644,662,119,828,067,616,273,
669,447,280,271,344,879,972,794,215,572,860,612,032,349,438,771,744,500,144,
392,129,594,981,711,237,421,103,243,593,343,476,727,309,008,529,632,845,060,
442,490,751,043,618,280,450,460,890,002,213,814,549,303,360,356,309,097,854,
905,298,386,404,090,223,841,345,676,337,560,211,986,312,833,415,699,531,184,
413,378,860,635,995,730,287,261,181,289,827,090,105,067,439,326,215,181,394,
060,683,839,601,289,351,803,022,447,534,435,225,635,159,785,333,959,549,017,
008,102,841,601,992,004,404,165,556,557,955,771,890,078,265,476,802,966,460,
911,515,927,518,237,865,573,668,162,277,853,237,348,104,822,611,704,733,416,
170,907,698,736,789,486,090,429,698,506,361,331,580,731,301,464,950,359,660,
233,691,200,275,142,193,437,613,431,741,084,090,784,676,225,748,667,459,911,
614,097,212,898,487,854,848,897,016,022,341,576,942,417,141,478,718,965,147,
041,604,989,734,976,022,387,172,370,445,185,134,699,915,230,000,816,917,097,
887,743,254,612,795,671,348,223,090,869,406,051,640,362,826,047,678,714,315,
531,301,886,553,381,418,277,274,414,313,997,183,963,912,682,919,460,813,895,
243,528,659,422,099,495,943,654,231,554,140,612,067,446,756,049,500,632,714,
421,262,721,590,180,860,444,943,728,331,258,571,124,096,939,674,152,379,106,
123,243,530,491,825,875,024,909,663,483,704,380,130,752,886,862,012,573,115,
441,938,559,598,449,333,604,467,364,147,241,226,061,654,853,116,840,491,543,
119,827,371,448,424,448,553,723,416,019,338,699,732,792,206,141,004,836,883,
471,862,646,265,398,373,242,433,434,000,942,258,490,072,688,660,731,594,876,
549,038,679,557,735,822,544,754,055,339,909,535,558,888,848,259,097,892,780,
625,972,176,730,155,639,986,305,173,182,257,120,389,665,344,571,755,169,156,
905,493,978,477,564,459,538,788,369,116,275,766,553,898,530,521,490,279,056,
473,404,578,821,416,461,911,826,192,789,922,796,887,804,090,398,845,848,845,
840,119,215,004,748,198,412,597,377,047,591,046,868,313,523,563,820,865,163,
639,743,939,267,178,515,165,193,229,677,288,978,038,708,108,587,146,426,701,
067,810,883,466,310,907,738,586,897,515,112,986,824,761,820,066,765,872,077,
317,673,480,171,966,104,568,625,934,961,047,310,227,809,306,274,188,390,135,
782,247,053,064,580,443,831,793,447,546,276,555,620,962,077,808,011,708,955,
862,965,032,188,900,448,584,295,366,139,082,557,293,957,764,279,783,132,620,
007,538,085,055,977,719,133,256,986,142,838,239,934,089,118,788,062,383,992,
221,996,497,454,078,917,592,980,359,192,279,997,166,875,068,590,662,689,665,
465,330,929,064,253,310,688,075,943,550,345,451,143,991,238,646,856,666,707,
487,704,263,609,463,989,234,619,197,297,866,177,788,593,284,298,451,154,643,
723,069,182,905,364,209,621,816,574,171,102,952,946,069,572,251,465,222,653,
894,333,229,488,769,444,157,622,833,439,283,390,037,691,449,177,398,995,939,
730,106,679,841,897,188,442,869,328,706,371,711,739,474,229,737,738,708,276,
417,951,052,768,465,387,669,738,575,556,807,402,881,841,049,160,045,794,988,
350,642,844,386,518,688,038,825,533,744,000,146,885,949,869,274,073,101,335,
232,379,559,189,196,135,730,746,519,889,144,516,943,720,184,652,588,494,751,
822,525,278,799,588,543,069,643,362,019,709,839,409,159,788,251,804,691,848,
871,681,037,566,176,854,532,320,244,136,657,028,924,399,446,551,123,502,316,
925,372,842,341,208,670,076,068,004,147,350,767,072,014,293,930,794,603,054,
305,690,109,692,278,748,044,293,044,236,459,215,466,615,699,340,988,328,917,
257,728,138,287,338,565,529,253,378,759,231,400,710,872,882,568,194,622,265,
512,893,284,153,062,509,921,823,272,277,176,570,719,051,536,205,953,743,434,
555,246,005,990,015,318,197,980,112,269,596,004,582,148,254,996,366,793,335,
292,876,562,093,954,912,862,025,916,917,492,788,959,107,414,820,213,378,447,
066,955,261,614,095,945,211,392,011,305,854,427,770,869,250,594,039,373,226,
810,089,248,745,785,252,822,600,223,128,719,292,433,080,371,945,982,576,625,
439,187,132,632,447,138,188,129,613,675,232,730,171,401,395,243,780,267,486,
003,663,021,293,568,492,072,588,232,813,811,910,327,335,183,875,585,571,027,
692,363,805,141,888,146,831,336,429,763,723,150,583,021,879,018,374,135,444,
795,842,109,822,475,006,702,101,482,047,864,258,486,401,719,197,716,537,642,
593,684,357,944,957,664,016,641,240,658,963,745,912,766,403,834,572,977,873,
545,471,936,820,682,717,980,768,451,742,192,476,014,935,756,806,806,127,567,
131,098,305,176,788,069,363,319,874,495,711,290,326,152,617,188,897,193,151,
027,447,121,542,178,302,900,320,460,717,725,048,881,197,724,085,744,397,076,
563,095,723,720,231,455,319,522,980,613,423,071,504,334,244,492,407,131,090,
369,429,044,688,802,409,371,773,166,001,441,479,553,091,331,498,091,678,167,
712,888,178,056,237,044,783,311,401,489,351,254,191,070,896,610,391,966,820,
890,119,957,191,906,412,132,068,872,743,586,976,248,381,049,326,174,524,340,
903,376,773,905,770,293,286,651,856,569,202,091,381,698,650,328,580,683,131,
868,906,949,306,745,893,775,549,958,843,661,788,768,760,009,169,374,880,966,
323,225,251,724,631,436,206,503,795,749,274,234,074,857,303,438,449,876,374,
598,651,520,836,755,023,559,486,901,289,210,536,037,320,572,655,357,942,302,
578,820,742,939,655,814,948,546,657,877,889,065,390,840,854,475,459,796,356,
936,164,286,260,768,017,291,317,009,093,819,995,234,706,285,296,782,381,555,
283,216,449,523,425,648,787,247,018,936,702,767,230,105,862,934,304,521,842,
853,573,318,311,367,985,040,622,670,004,438,369,109,321,377,549,445,750,497,
882,524,215,059,389,691,653,394,897,517,121,326,282,447,816,346,853,856,413,
084,791,265,470,761,529,971,935,504,279,111,195,026,418,268,388,074,222,803,
706,684,901,345,459,425,275,411,506,786,211,596,787,912,964,734,287,405,705,
102,249,735,142,415,313,699,778,106,483,698,198,098,279,302,644,071,066,468,
613,974,151,555,692,141,048,955,780,776,649,906,079,418,865,348,213,022,295,
546,683,824,018,370,363,261,018,921,318,191,393,805,744,946,697,914,838,016,
479,976,789,468,676,756,234,603,058,934,489,263,064,718,653,473,542,041,600,
399,385,778,342,516,889,686,512,283,345,677,209,020,062,018,453,151,538,091,
651,692,370,378,027,392,535,699,911,771,432,189,848,077,441,179,072,831,571,
417,533,635,794,177,615,553,701,602,380,459,514,128,180,061,792,187,310,858,
726,052,575,519,890,533,044,500,335,455,682,537,661,650,381,211,715,390,930,
049,379,148,570,531,225,788,333,176,113,823,483,199,174,948,440,355,484,468,
774,847,471,043,540,524,187,643,007,066,990,558,418,467,864,383,852,728,367,
320,965,074,263,708,393,175,018,780,364,657,456,100,638,853,181,563,214,736,
260,129,907,534,120,730,657,663,060,619,820,902,440,223,260,792,695,145,032,
361,702,509,887,748,879,568,147,151,256,872,080,124,366,079,922,780,657,177,
863,012,075,250,342,318,199,716,206,408,401,290,125,384,329,415,689,888,091,
034,272,763,501,506,684,519,986,525,641,194,393,403,765,734,879,963,111,120,
721,768,069,540,064,648,270,665,273,433,642,927,624,317,857,220,941,905,000,
811,763,054,668,520,340,417,516,284,416,166,220,612,088,227,375,322,466,229,
969,331,527,441,226,943,327,865,805,766,273,546,180,777,645,025,007,620,616,
674,398,299,359,512,549,891,181,715,498,850,015,452,885,606,797,651,924,059,
972,617,326,322,355,233,185,109,993,296,987,977,052,886,717,528,909,841,467,
886,832,961,434,429,869,174,474,027,566,743,808,744,139,064,458,525,276,827,
083,190,462,880,996,400,868,225,707,343,739,696,092,463,545,235,974,918,811,
898,208,477,726,158,737,516,389,916,992,659,516,995,321,855,518,339,564,078,
064,146,700,375,230,160,034,179,862,789,430,967,914,414,268,959,596,706,853,
288,734,628,481,418,237,267,420,474,891,646,753,644,520,648,296,757,072,307,
826,975,221,411,854,488,238,800,911,749,925,601,220,743,502,586,919,490,989,
231,867,260,935,438,573,951,080,625,585,638,268,421,628,523,405,292,302,470,
986,864,263,123,570,164,201,025,194,170,631,967,872,225,790,549,406,498,425,
791,608,725,551,497,772,221,397,108,013,267,494,962,911,812,030,944,775,570,
325,381,931,080,238,750,256,583,650,850,940,081,684,143,908,027,088,397,704,
040,690,946,339,297,050,913,117,695,693,313,221,660,627,714,119,687,240,729,
955,235,091,790,984,371,532,146,745,679,541,451,303,292,101,628,769,444,972,
132,810,512,775,855,541,657,052,375,818,939,825,784,128,137,503,900,390,948,
515,329,673,609,617,319,879,596,364,278,284,526,318,579,330,337,802,060,144,
140,658,841,744,856,400,653,509,535,374,827,155,256,017,184,708,071,676,754,
186,222,665,494,227,986,318,213,475,306,530,171,545,915,829,726,692,534,207,
698,754,518,828,132,569,923,492,847,278,389,185,017,497,880,224,341,163,567,
275,203,643,213,053,746,689,601,561,576,599,056,126,408,137,360,115,022,974,
176,927,802,411,494,203,135,340,818,216,168,731,415,431,539,728,829,731,235,
874,220,969,435,765,286,939,783,576,824,926,025,113,711,407,736,950,311,527,
112,834,027,621,138,049,262,699,336,092,309,290,144,115,867,085,622,650,430,
172,916,201,312,317,495,694,189,879,819,233,319,669,808,281,547,167,203,406,
633,380,456,158,444,299,208,523,746,136,578,398,771,844,223,198,125,188,572,
044,987,124,192,908,581,459,303,030,153,880,504,396,433,770,668,728,630,329,
060,230,665,128,415,999,873,521,413,533,967,612,363,809,930,947,407,285,385,
242,128,886,854,863,482,489,963,349,705,209,283,212,151,405,169,746,396,556,
863,658,683,442,399,291,695,358,870,110,701,484,417,051,874,509,645,561,683,
597,900,759,331,089,889,310,909,900,001,084,263,070,675,855,069,329,469,773,
272,847,974,484,691,955,542,670,424,671,119,290,648,622,629,455,482,349,317,
848,061,158,548,052,110,037,939,143,593,779,033,709,157,249,462,984,664,901,
737,931,349,562,925,747,681,366,788,522,043,863,186,762,491,327,624,466,652,
373,325,577,586,771,944,456,896,587,895,251,754,741,446,622,343,581,157,969,
827,558,916,520,596,600,722,153,585,384,627,210,869,203,154,629,823,576,909,
620,765,320,723,447,779,185,576,252,853,979,391,339,515,793,030,770,921,331,
490,114,456,007,129,824,201,126,360,999,795,852,835,703,414,252,564,647,241,
584,573,123,900,488,477,889,084,769,844,872,652,708,348,728,661,546,176,701,
540,176,278,360,162,298,437,556,237,201,949,678,138,708,678,494,448,047,337,
584,209,768,773,906,917,483,478,971,277,079,459,280,189,195,423,959,747,641,
581,318,377,123,585,295,648,487,834,291,769,499,999,734,198,091,168,080,558,
698,980,840,890,913,950,680,178,296,975,267,181,466,880,714,093,330,653,779,
585,535,431,137,330,365,596,656,343,200,179,774,807,060,369,227,711,098,011,
693,392,434,271,263,026,129,607,006,518,354,659,543,685,896,553,293,690,784,
301,174,276,300,213,795,812,432,318,912,276,350,897,781,006,488,803,045,974,
011,304,312,491,691,483,054,483,930,695,606,494,487,308,916,154,542,230,754,
959,783,291,464,374,982,357,093,354,818,381,139,656,670,160,890,699,352,136,
350,828,138,737,832,790,888,430,199,308,971,654,047,505,061,905,438,515,387,
365,820,926,425,911,425,889,470,146,106,537,201,089,918,593,775,590,946,611,
774,072,283,369,849,180,782,083,727,099,615,261,021,515,297,847,054,232,638,
897,876,225,260,762,199,968,340,204,095,370,159,272,868,251,277,116,616,491,
170,496,639,345,958,347,396,840,661,866,006,136,131,111,078,037,138,268,870,
250,318,355,648,472,374,797,195,453,296,936,095,160,052,332,429,851,379,430,
754,208,757,536,139,177,587,328,206,904,922,726,200,276,932,774,565,399,010,
089,772,913,043,282,197,347,043,628,170,760,187,579,194,454,378,560,534,532,
472,035,371,106,696,443,712,971,410,968,434,344,103,867,513,271,843,642,817,
431,438,361,111,908,855,061,117,574,471,863,513,938,232,855,453,909,611,031,
873,248,091,084,251,883,400,073,130,274,848,880,243,066,810,640,719,288,088,
232,100,081,750,113,553,353,819,455,140,562,135,475,970,276,976,025,567,178,
567,462,565,476,854,737,553,116,044,268,409,491,380,772,438,344,860,444,160,
212,448,259,598,715,970,448,405,522,945,010,193,166,013,995,068,485,754,135,
277,181,309,480,302,998,469,339,804,856,718,044,869,988,828,439,188,188,585,
043,410,864,720,605,491,997,334,116,641,951,060,695,792,725,393,182,071,335,
372,766,347,377,866,004,499,481,782,824,110,346,804,387,525,910,640,611,583,
097,566,218,735,651,874,467,203,709,490,248,439,648,241,541,211,391,035,487,
513,914,101,233,447,641,488,680,310,669,883,795,999,433,037,863,147,686,596,
508,443,675,233,741,659,879,337,849,092,593,508,566,205,221,981,643,608,079,
137,501,729,089,842,707,023,750,676,151,541,556,628,320,389,033,927,731,504,
973,366,394,162,495,602,983,078,290,286,551,311,007,298,943,089,397,985,272,
927,943,353,297,274,573,377,505,831,246,501,667,951,864,763,211,109,507,881,
744,082,785,440,995,513,153,105,781,531,330,548,133,853,168,801,917,848,049,
794,024,775,086,744,390,192,357,433,802,967,207,652,753,601,199,827,934,654,
463,142,114,183,247,412,644,055,187,260,612,763,071,744,353,235,579,373,174,
669,139,943,578,096,966,640,522,946,664,877,695,140,989,326,826,934,202,649,
841,855,795,236,640,180,603,519,805,316,564,689,579,609,600,316,278,712,644,
739,385,692,970,085,038,591,940,185,801,868,505,646,416,921,412,340,557,428,
334,819,504,112,630,190,632,013,352,923,933,866,297,540,713,340,534,500,282,
619,956,947,115,057,077,205,701,509,248,555,937,695,019,391,415,897,216,692,
107,714,473,545,299,690,995,869,294,838,579,609,895,127,642,596,385,570,449,
901,376,527,800,161,700,373,786,922,200,436,174,624,932,915,400,791,965,705,
725,110,016,609,768,583,705,087,103,740,461,629,839,003,282,442,442,365,704,
951,233,452,388,080,652,012,011,570,816,659,105,378,434,581,701,268,944,513,
263,948,141,017,183,215,109,284,707,184,683,362,047,693,708,419,015,498,075,
067,614,545,276,634,289,642,116,279,247,470,989,323,021,677,510,438,704,828,
186,798,543,341,305,750,846,310,041,837,978,873,657,635,337,905,810,452,132,
876,838,162,946,891,838,271,409,148,927,505,437,812,178,282,523,979,030,155,
210,777,369,663,720,528,661,567,682,453,501,051,015,135,737,988,963,820,664,
761,631,643,109,273,588,302,097,270,794,962,450,919,876,936,710,307,734,663,
464,398,286,787,419,624,195,662,235,344,199,154,203,414,968,303,204,366,085,
660,616,844,736,233,286,732,709,503,803,009,460,734,578,156,194,606,895,719,
342,727,879,097,095,343,858,941,642,885,681,514,606,143,205,899,335,089,883,
901,372,636,909,161,446,046,400,064,904,996,929,465,892,566,151,710,700,965,
412,878,953,229,003,708,847,620,744,448,473,578,996,656,263,908,957,938,988,
736,854,656,542,064,460,464,559,577,064,423,713,757,001,755,369,169,770,245,
235,049,369,688,910,356,754,789,986,007,659,251,110,265,987,960,240,080,472,
937,414,350,470,549,911,575,326,300,277,566,361,354,816,718,987,527,268,399,
039,723,694,016,813,888,734,672,671,777,674,557,580,192,082,108,434,950,716,
433,218,730,033,608,557,473,028,512,640,502,104,685,123,087,298,481,631,578,
812,853,492,452,467,552,326,804,663,108,119,203,488,520,597,015,996,990,024,
258,004,283,002,481,757,094,660,210,743,018,333,339,082,511,787,007,485,838,
123,611,818,678,151,414,047,782,219,866,892,941,730,928,892,520,590,400,575,
704,734,273,174,909,038,202,001,880,580,782,002,904,624,780,862,390,219,789,
259,060,274,238,605,344,610,783,984,548,157,140,761,626,086,534,333,894,593,
157,044,795,727,581,929,073,717,179,685,423,962,062,188,312,907,583,316,783,
143,809,085,251,672,336,072,639,491,567,322,409,041,266,102,374,365,946,651,
971,792,125,477,689,360,806,017,030,565,090,624,456,057,569,306,301,411,555,
923,588,901,641,412,938,643,112,616,123,013,914,138,822,447,285,456,054,620,
383,960,558,126,475,488,579,989,396,010,919,209,107,236,741,925,105,053,483,
196,586,789,545,546,896,015,209,355,726,763,162,511,059,710,169,564,944,484,
982,777,988,559,555,709,663,826,234,276,738,700,530,801,721,177,802,631,493,
342,323,225,503,640,553,346,718,341,859,231,694,135,600,418,253,379,246,295,
413,785,002,270,069,640,092,220,627,791,093,484,453,918,132,116,204,606,369,
395,840,868,337,262,470,321,265,844,530,419,674,302,758,916,371,964,123,360,
399,905,012,800,292,445,117,655,840,012,841,290,994,354,793,775,960,012,149,
835,341,093,049,973,853,543,744,052,561,491,170,280,507,710,755,881,652,290,
449,882,790,070,293,842,767,472,873,981,474,870,377,386,630,314,778,699,379,
676,311,420,242,034,180,271,858,286,641,106,708,801,133,145,541,375,431,377,
255,602,865,487,730,906,524,492,896,157,265,471,437,531,974,509,494,362,923,
425,892,033,797,213,452,770,057,214,563,907,983,181,965,497,538,747,069,033,
438,860,562,692,578,215,251,773,350,614,262,991,310,143,791,514,367,913,281,
166,658,281,581,497,230,341,632,621,956,026,539,110,139,395,502,828,901,795,
846,415,358,847,917,246,814,506,780,603,736,160,119,171,989,210,725,662,315,
693,140,245,048,696,924,949,649,820,529,690,221,878,438,401,754,928,787,600,
131,377,941,901,877,548,422,159,587,176,067,982,509,479,002,773,727,695,163,
439,941,576,188,002,891,683,214,796,311,443,985,791,789,589,088,635,749,983,
889,838,869,446,222,224,998,382,870,091,294,475,703,166,593,042,186,070,315,
414,586,103,160,488,450,184,038,638,675,994,408,065,476,589,304,372,258,372,
636,197,177,980,223,086,690,617,536,898,735,020,367,982,071,446,557,885,500,
976,223,225,108,936,121,854,329,685,540,679,090,534,107,628,151,511,909,461,
758,428,429,046,712,107,445,156,439,443,341,630,202,989,163,904,075,679,930,
777,877,333,336,629,343,859,061,509,783,408,841,778,163,291,373,737,192,100,
392,671,711,285,693,079,422,955,574,065,754,605,528,442,792,903,470,711,949,
746,462,356,581,551,792,185,074,010,838,642,510,976,670,177,236,468,872,958,
136,242,779,081,787,665,895,714,312,391,708,166,356,092,564,600,528,218,406,
521,832,049,321,304,007,078,140,783,445,481,921,455,219,959,157,842,429,992,
961,535,063,344,520,720,372,934,904,556,733,322,416,641,532,847,964,526,096,
244,782,361,692,752,902,351,921,444,775,793,278,652,862,698,287,937,474,824,
655,626,431,999,363,907,640,118,297,862,608,415,298,232,724,554,602,924,001,
630,069,537,689,356,334,158,402,822,410,319,047,326,711,176,420,513,186,862,
013,779,627,873,608,270,964,111,124,827,093,318,359,547,356,845,490,120,293,
597,234,300,469,358,931,787,299,483,738,122,258,870,721,338,032,017,699,569,
420,978,370,132,476,982,910,671,150,073,787,314,812,339,181,011,039,370,181,
410,670,819,146,829,618,102,080,245,595,960,809,765,848,131,176,846,991,354,
402,276,507,046,529,774,753,572,260,082,034,457,539,244,181,668,951,445,481,
891,727,974,245,326,695,128,420,858,596,380,857,220,349,004,889,297,556,813,
883,790,582,392,803,922,365,537,308,241,495,640,479,448,308,755,877,034,238,
252,211,463,808,792,367,461,545,662,748,603,495,671,426,929,174,159,683,947,
853,708,433,176,999,394,029,327,784,171,325,432,601,997,448,473,892,821,646,
965,459,500,457,207,630,556,111,477,450,992,855,212,967,615,795,413,987,083,
851,621,302,901,181,448,104,714,604,323,603,274,083,578,475,529,293,966,620,
089,813,864,106,502,339,053,367,346,429,164,386,018,699,547,588,753,977,152,
880,455,249,598,163,826,114,614,403,367,365,715,870,274,343,278,595,350,822,
790,092,053,067,314,771,368,108,318,943,754,660,879,107,984,390,484,929,778,
152,166,965,637,175,508,641,086,444,015,767,728,198,267,679,184,425,485,801,
795,726,316,712,483,097,070,739,871,107,537,819,776,684,872,708,818,156,929,
360,363,188,945,112,919,053,088,131,827,788,999,325,290,742,923,168,975,582,
032,927,086,726,115,001,764,439,602,671,986,051,680,510,688,239,520,295,990,
955,687,876,934,490,716,117,336,759,325,087,387,973,810,208,111,681,262,830,
403,520,976,730,496,250,640,191,781,733,666,011,069,293,780,915,850,509,592,
814,730,887,584,725,324,878,448,652,517,230,970,707,581,637,606,004,617,105,
680,027,219,630,406,244,239,876,315,608,310,006,247,189,480,910,243,181,989,
128,487,621,740,249,879,146,410,095,473,999,211,101,343,404,286,852,788,331,
661,248,419,620,213,291,464,810,397,273,488,528,305,273,828,352,697,232,934,
390,405,900,081,457,948,978,668,433,422,713,233,486,732,199,068,114,938,976,
987,534,774,281,623,300,722,037,798,181,690,410,685,439,089,186,665,998,924,
192,380,732,557,955,013,340,647,458,170,308,638,716,557,944,542,952,126,191,
594,088,648,402,532,416,716,106,072,623,904,734,870,204,355,042,016,307,313,
211,279,190,825,652,237,467,313,187,164,312,999,502,826,858,571,994,029,753,
511,243,717,805,782,304,740,250,556,843,026,695,104,928,151,951,324,427,544,
830,685,505,328,862,086,819,971,069,043,399,955,049,330,834,089,820,041,556,
197,164,648,888,414,318,754,908,348,650,568,109,052,975,026,648,931,879,228,
869,583,444,569,074,727,635,987,251,923,245,379,256,211,720,138,753,013,372,
428,498,596,265,118,952,628,774,455,397,600,007,485,795,411,852,354,789,632,
161,941,665,138,141,158,855,958,899,935,255,248,020,057,487,613,423,077,622,
715,408,560,316,486,898,537,190,481,194,566,325,976,682,206,300,320,611,415,
768,063,853,599,699,841,708,188,164,814,952,496,503,263,634,923,247,143,126,
890,082,973,025,146,423,338,870,783,817,086,843,164,461,609,945,178,569,330,
287,213,799,494,769,458,956,155,552,950,907,093,792,775,783,757,832,273,956,
966,707,895,211,672,332,288,370,930,605,358,388,602,616,172,748,353,896,915,
058,548,996,898,203,375,243,866,001,517,014,099,573,658,107,415,172,860,155,
186,862,545,300,552,623,125,992,098,855,324,581,507,266,051,595,112,438,536,
178,872,094,985,980,785,387,867,635,422,823,455,776,066,036,594,926,457,602,
892,492,541,941,679,869,006,783,597,866,221,013,598,760,461,582,576,422,282,
114,593,190,217,086,113,122,473,620,044,492,573,794,735,120,221,918,663,534,
387,585,463,039,180,529,576,125,462,469,842,063,645,609,732,102,865,408,679,
617,133,201,161,153,383,001,949,915,239,972,942,025,984,919,844,831,456,772,
285,893,481,683,569,803,117,539,100,770,997,091,007,419,966,033,542,959,414,
045,484,373,397,562,904,346,062,999,102,907,994,941,673,642,524,982,569,183,
187,085,913,789,243,562,517,478,742,847,272,447,650,933,727,356,687,591,815,
489,746,950,804,758,751,845,421,524,547,358,938,561,971,668,424,678,207,080,
307,083,924,486,181,636,498,246,637,911,138,504,468,949,387,105,570,531,062,
370,748,377,493,071,183,436,562,598,875,046,549,784,981,896,233,900,646,741,
444,428,482,848,385,373,121,556,659,447,653,810,382,818,100,074,437,048,288,
319,330,492,841,603,438,074,909,939,049,068,365,651,159,091,130,829,810,617,
002,747,692,271,479,902,628,639,480,610,659,380,556,796,254,343,221,147,334,
263,563,515,794,864,963,833,917,779,531,041,511,969,462,370,905,617,110,744,
006,645,869,045,196,753,967,598,270,422,941,029,919,821,507,497,739,464,775,
147,833,232,207,393,483,715,186,226,862,283,282,505,234,993,936,224,953,568,
749,745,920,734,311,799,817,158,169,934,275,508,185,492,909,888,111,747,813,
344,165,548,619,142,499,503,097,161,228,650,341,937,918,597,325,278,084,184,
322,400,652,128,486,452,920,019,686,487,753,795,479,417,672,765,936,998,654,
967,366,666,703,525,894,878,636,666,308,508,488,961,872,037,941,266,516,890,
429,846,561,576,605,999,351,316,015,043,574,056,867,781,068,077,396,521,390,
821,178,342,086,226,322,202,926,276,431,057,512,946,758,141,514,015,553,426,
716,753,519,836,031,956,447,490,026,515,167,238,010,097,850,534,482,430,528,
216,894,345,071,965,879,788,142,969,234,592,397,714,695,534,576,093,682,486,
917,739,156,180,029,889,494,162,535,881,818,827,819,893,623,160,170,559,317,
530,601,393,546,353,208,726,998,646,842,247,812,230,950,622,075,810,452,673,
973,481,177,834,062,014,544,171,782,176,756,936,446,252,447,155,090,630,552,
973,103,005,040,882,397,585,056,509,382,927,040,976,359,833,795,945,223,838,
748,904,490,632,077,583,440,287,330,911,091,794,469,221,844,818,426,627,299,
277,699,848,212,072,817,783,435,422,826,355,336,059,588,962,355,774,805,448,
997,199,615,887,728,820,337,949,965,820,676,531,675,778,440,712,429,747,161,
478,188,642,694,873,557,662,838,885,836,083,138,223,814,797,158,395,185,705,
358,919,324,348,621,997,785,162,256,645,723,567,036,974,367,701,564,097,145,
478,164,503,578,703,015,642,468,124,731,927,230,120,489,012,448,390,276,232,
170,736,870,430,960,372,422,252,004,665,063,917,289,725,171,071,494,931,219,
419,397,198,599,857,318,531,693,486,259,585,359,068,680,861,216,627,771,963,
306,099,997,466,976,747,156,961,857,729,393,628,048,698,467,081,984,288,836,
278,117,020,350,177,118,460,625,527,651,094,090,589,978,380,449,204,194,910,
499,802,041,315,965,250,530,293,766,033,107,436,990,279,897,868,794,572,372,
307,331,600,295,270,419,131,016,979,984,942,802,784,139,561,965,185,179,061,
224,898,274,088,308,632,146,226,337,062,512,445,652,238,595,307,053,582,181,
620,992,951,227,702,079,548,173,839,954,604,746,884,738,546,247,556,838,115,
621,768,927,128,862,016,149,370,737,442,769,125,032,488,569,021,176,621,746,
698,512,746,356,351,780,953,346,247,760,839,046,193,767,409,145,284,270,289,
323,574,183,219,430,358,011,033,858,416,508,947,206,962,142,343,549,303,021,
808,922,046,520,215,495,117,206,099,728,423,513,343,036,297,120,390,889,261,
064,491,068,416,071,187,438,736,044,591,460,551,769,659,232,797,021,956,564,
220,308,165,627,068,573,955,873,713,545,520,747,446,655,213,976,174,623,252,
347,189,950,216,120,252,681,228,884,573,080,377,722,978,111,385,764,928,806,
886,484,054,399,114,646,320,309,392,673,455,860,917,788,149,748,885,455,321,
924,791,944,348,171,008,489,739,874,218,509,393,232,364,511,659,706,017,152,
394,605,597,287,207,869,172,058,396,194,717,927,071,846,395,224,088,368,785,
701,453,841,949,524,210,434,690,097,788,890,683,946,028,927,203,967,122,188,
851,586,581,863,854,752,787,911,928,534,249,662,495,066,479,422,711,369,122,
373,288,159,920,164,205,783,550,661,592,683,179,836,579,237,888,362,254,225,
531,996,285,469,275,870,402,304,889,262,159,017,883,827,025,731,930,512,639,
869,187,895,445,441,769,334,496,064,619,629,024,199,348,468,868,071,852,135,
224,837,791,770,115,679,876,771,788,720,882,289,673,397,099,873,913,429,323,
209,558,846,447,659,807,110,322,040,317,351,920,904,292,340,387,290,786,282,
791,678,101,109,622,563,304,877,522,306,532,159,083,250,298,581,146,093,347,
654,995,262,701,696,361,709,879,795,070,246,758,791,301,709,948,201,449,535,
722,550,188,608,577,700,168,095,539,639,546,339,335,715,556,470,681,510,835,
572,398,948,899,613,834,161,151,883,555,783,358,560,745,726,851,420,210,359,
499,663,545,338,084,318,679,531,785,899,610,335,165,427,267,179,322,511,218,
881,766,916,365,445,726,106,189,316,510,183,855,704,816,843,957,362,524,676,
942,858,600,134,513,092,544,508,558,254,128,546,051,621,826,205,037,526,289,
359,781,107,422,754,826,966,903,561,169,749,295,260,876,048,029,879,301,781,
775,027,379,172,162,256,280,590,537,437,684,855,556,713,091,683,988,128,331,
702,546,047,115,038,784,364,038,564,504,677,187,133,901,431,170,596,113,254,
003,277,594,291,992,259,118,588,446,288,291,093,840,640,104,997,311,609,311,
484,506,951,248,047,414,886,969,818,602,814,869,990,342,565,816,756,386,441,
954,000,370,070,096,684,739,480,105,758,639,414,338,484,020,821,438,948,868,
427,044,590,031,866,274,474,228,181,822,610,648,492,016,167,133,734,735,107,
454,785,269,178,693,330,795,207,060,649,459,835,648,763,395,111,679,695,707,
759,322,512,030,019,789,426,772,434,378,213,188,693,906,286,804,808,484,253,
871,785,002,510,276,728,925,849,886,359,235,408,780,116,768,769,183,615,867,
436,543,554,229,593,821,056,466,916,768,123,807,770,522,644,123,903,331,434,
348,102,653,654,822,452,261,393,419,662,230,893,747,940,707,236,713,827,885,
719,880,450,690,899,174,272,510,396,133,588,856,923,357,713,882,595,703,827,
867,122,207,943,078,415,335,898,001,396,271,412,579,827,424,297,155,701,732,
528,881,696,554,978,156,323,096,589,142,303,559,198,977,738,325,696,892,498,
469,899,945,476,805,047,094,290,316,236,342,397,576,569,297,262,069,470,137,
949,281,949,599,284,100,110,994,998,861,525,945,328,287,791,793,966,427,596,
193,820,693,471,796,248,480,325,895,093,837,056,011,050,049,727,614,362,803,
341,329,236,064,893,343,709,312,881,365,166,508,407,859,314,734,527,501,442,
677,902,978,591,856,904,499,988,925,833,068,206,928,536,782,343,799,655,927,
253,093,513,821,421,750,151,925,463,234,716,164,896,805,057,775,797,066,125,
868,847,664,067,924,576,518,685,542,619,993,918,681,481,027,475,656,740,071,
929,962,063,881,313,279,980,388,368,154,655,951,218,913,763,585,964,711,179,
221,890,516,694,379,230,482,317,907,570,838,708,603,850,971,725,999,237,126,
572,146,352,488,492,445,781,526,514,462,808,693,432,322,386,383,276,111,579,
365,663,113,108,629,456,483,863,063,030,683,464,139,297,860,739,285,632,956,
191,459,546,927,942,088,793,751,436,246,713,800,363,552,985,493,455,747,962,
776,231,677,933,570,768,608,527,595,720,040,634,012,156,646,071,017,267,045,
535,474,791,008,881,861,402,669,252,097,592,996,584,207,880,666,153,332,591,
169,670,000,997,188,041,765,177,695,558,501,902,555,327,676,041,230,909,481,
173,489,709,245,731,193,083,667,663,367,837,289,751,413,670,717,664,131,800,
792,806,822,547,451,146,384,037,680,076,433,966,779,252,001,277,123,026,366,
454,087,473,873,774,238,099,397,246,988,424,486,080,920,507,530,336,555,207,
431,690,939,200,599,404,722,550,770,005,254,650,944,170,208,432,641,033,094,
996,304,633,996,326,722,823,213,672,509,845,974,011,123,625,743,041,081,375,
606,934,813,617,933,567,834,642,584,012,336,479,951,187,282,043,375,463,235,
701,482,136,003,060,351,449,540,854,647,963,870,762,135,987,442,208,129,633,
345,178,508,876,167,004,256,237,010,467,299,632,274,445,373,354,852,408,810,
582,416,534,410,129,345,843,310,957,267,680,956,160,109,372,176,098,756,642,
309,264,933,257,290,009,042,457,846,942,309,275,347,605,385,355,489,877,845,
257,039,225,755,349,184,099,863,656,072,535,522,465,839,388,159,877,281,713,
294,580,281,257,068,515,427,308,030,791,701,268,677,465,459,371,060,731,210,
179,012,210,764,595,065,817,284,211,166,707,328,440,137,120,812,589,239,857,
525,971,822,565,894,910,116,265,743,821,384,613,242,654,232,218,962,696,746,
246,508,729,723,031,485,779,605,949,885,201,794,165,247,453,533,238,923,208,
205,256,137,380,897,441,352,903,297,767,061,482,852,521,960,902,001,597,617,
457,021,209,981,727,041,790,460,895,604,421,498,599,673,199,582,968,602,704,
103,888,510,334,596,722,387,064,622,079,997,781,563,864,803,840,155,572,331,
806,837,362,989,217,391,106,623,279,534,636,821,740,138,835,728,116,966,797,
503,079,212,959,443,069,209,225,596,562,088,063,776,632,727,407,111,538,310,
832,958,250,028,348,315,082,177,972,843,958,065,668,876,228,792,436,385,571,
287,260,183,167,976,369,211,339,625,306,498,245,613,152,846,584,387,399,438,
239,347,588,129,077,379,245,734,016,439,474,200,465,417,593,875,953,149,450,
494,026,827,406,665,760,816,344,071,415,874,770,194,740,351,990,341,392,713,
210,128,864,875,774,170,634,795,402,122,122,202,718,436,635,012,923,770,611,
172,531,251,170,667,499,416,545,812,722,650,011,299,426,996,382,471,063,479,
049,840,191,318,583,179,007,672,102,752,723,373,803,936,574,853,141,546,325,
984,567,243,660,008,678,306,447,806,823,176,820,774,143,367,561,666,494,401,
456,948,457,552,367,208,928,560,788,761,415,323,498,584,847,077,169,621,511,
805,766,420,961,539,099,077,947,803,859,873,082,612,349,721,409,897,875,508,
045,089,019,413,954,000,640,504,718,182,347,128,292,692,811,996,790,930,175,
664,810,808,494,537,434,052,445,615,818,566,690,866,927,473,170,516,120,673,
015,614,268,377,323,327,806,508,183,528,547,805,188,627,157,460,334,758,912,
880,048,363,148,997,980,091,686,177,553,230,176,674,078,049,953,022,883,443,
554,174,833,556,782,597,127,302,847,279,241,986,688,801,256,672,286,962,788,
819,757,849,242,619,721,174,241,868,213,778,340,079,521,819,899,566,895,752,
774,747,740,767,317,845,719,771,853,928,281,053,916,713,798,449,532,648,225,
040,771,517,409,495,008,253,227,381,986,110,283,498,671,366,905,276,106,353,
336,682,007,161,478,220,021,129,404,248,969,971,253,006,849,892,856,161,647,
556,787,672,811,425,019,399,357,123,716,886,717,204,046,089,225,517,809,557,
801,708,274,263,048,666,705,254,220,664,723,469,200,659,553,124,549,987,300,
136,355,556,998,905,608,739,565,254,242,941,308,986,928,224,882,876,009,556,
678,044,408,586,880,487,826,236,568,034,644,229,478,174,531,561,837,950,339,
135,142,487,210,407,941,695,077,457,373,604,119,620,054,527,204,881,230,755,
472,913,364,573,626,413,058,267,309,273,635,478,642,882,499,522,840,739,063,
797,333,218,313,784,735,226,190,205,044,854,802,732,595,505,727,664,443,194,
572,217,022,298,646,461,198,585,116,875,952,936,030,743,840,502,293,570,873,
116,238,080,051,094,334,464,216,004,940,294,856,274,790,585,798,375,316,253,
766,121,330,370,124,337,002,423,197,846,652,468,878,891,869,283,694,991,173,
258,889,179,020,424,724,312,856,783,973,688,038,345,311,688,503,402,512,494,
922,568,825,980,159,884,107,860,250,860,529,653,376,742,137,854,047,816,340,
034,510,619,054,226,324,468,368,924,345,652,592,860,464,749,551,709,518,220,
726,879,426,158,306,595,217,480,324,560,258,581,876,297,025,104,654,994,791,
501,426,199,001,483,935,186,107,488,486,505,165,977,716,786,344,779,479,457,
190,749,458,799,738,050,048,255,762,558,202,588,557,221,412,885,537,305,382,
526,042,571,676,271,588,761,107,514,665,928,798,269,526,651,635,499,085,356,
842,026,542,052,892,334,391,591,183,065,839,663,257,671,359,617,300,663,013,
729,143,112,941,039,508,312,850,121,761,270,296,236,231,001,772,260,494,441,
669,121,585,763,129,523,205,109,291,541,387,000,351,934,419,158,815,186,330,
867,179,357,062,261,620,460,445,643,990,184,385,940,649,608,323,557,789,300,
215,346,498,511,627,259,656,985,694,595,730,030,686,919,263,262,128,123,592,
524,418,768,568,859,635,502,758,009,079,005,248,380,992,302,267,002,704,771,
502,836,322,123,180,274,253,352,242,421,867,470,439,842,825,984,068,324,236,
462,730,374,755,323,686,388,189,144,138,315,048,736,225,815,307,616,911,943,
966,389,831,810,796,511,492,766,378,931,252,691,592,239,493,209,510,780,954,
462,704,345,961,889,962,279,517,716,563,311,253,928,809,279,270,045,450,284,
148,150,384,231,809,719,268,506,716,487,527,652,249,582,013,086,697,459,656,
613,962,052,204,082,319,501,579,719,468,372,905,150,809,411,154,534,260,790,
929,798,431,561,762,779,008,814,528,479,968,871,568,335,852,438,755,134,219,
361,065,361,344,459,033,381,152,259,734,290,489,001,127,903,715,624,151,635,
224,760,441,650,571,077,702,956,575,917,496,224,841,359,428,876,055,601,670,
652,356,748,959,499,026,894,160,095,742,724,567,940,858,069,505,009,669,529,
276,577,423,599,665,043,867,356,316,649,510,735,369,885,689,744,589,555,917,
721,642,877,860,249,290,733,085,585,235,062,204,172,306,577,346,016,740,474,
806,539,477,388,170,668,008,155,736,573,635,324,733,521,486,154,563,537,935,
642,370,302,382,571,098,112,982,441,893,952,860,803,458,196,865,996,015,797,
136,847,074,467,603,830,882,788,253,592,112,913,775,803,775,707,924,383,702,
434,584,784,608,884,333,862,711,353,566,980,828,139,501,428,736,597,399,024,
840,899,741,305,799,999,019,060,592,200,122,182,556,562,005,801,978,707,146,
526,136,389,188,612,405,864,820,196,422,791,371,979,979,350,665,693,680,393,
591,097,729,149,679,776,418,221,894,765,599,114,431,610,507,590,901,769,456,
715,013,749,376,313,690,329,803,175,117,935,343,503,489,852,507,945,877,992,
103,819,664,373,543,442,743,396,726,553,465,152,265,586,745,741,138,097,993,
878,271,838,653,033,946,185,801,198,509,930,645,520,405,393,525,726,548,031,
453,168,865,707,851,235,843,985,394,426,950,417,446,353,814,465,037,186,533,
292,214,356,095,090,732,198,086,489,538,508,274,810,391,451,866,982,917,262,
299,786,586,350,171,515,364,824,673,443,843,738,705,893,917,402,051,294,169,
986,695,732,705,791,190,082,719,550,984,094,429,777,096,578,673,245,941,785,
848,048,006,932,013,253,003,362,573,425,208,839,945,303,275,493,433,685,929,
515,186,656,567,868,060,629,096,779,625,005,637,630,276,789,349,198,524,959,
927,668,943,218,463,728,681,946,343,937,462,065,841,387,460,813,323,072,933,
314,068,084,834,945,906,929,794,452,669,749,667,188,665,176,068,568,828,217,
387,207,483,687,660,226,142,024,471,108,825,099,074,590,381,875,360,439,651,
266,779,670,830,779,748,521,881,039,883,280,317,081,300,349,845,806,193,963,
034,261,265,024,705,409,994,907,703,462,805,645,137,657,671,161,007,360,256,
085,674,821,406,188,240,746,100,553,307,483,592,255,200,310,743,869,412,877,
820,276,336,840,148,169,906,636,971,458,095,694,279,761,241,378,631,889,473,
740,748,150,282,597,227,924,124,139,074,544,760,799,415,473,286,446,113,966,
462,878,635,044,608,579,846,543,599,098,917,408,223,737,281,934,965,626,126,
594,509,990,555,402,785,973,187,926,224,804,476,068,606,798,392,688,851,485,
778,100,413,491,472,671,349,698,831,005,359,473,484,176,599,305,736,415,068,
074,819,393,345,202,251,631,277,676,944,862,722,440,860,682,897,371,277,537,
410,844,231,867,334,667,829,271,482,673,466,582,086,097,697,278,018,681,213,
218,475,706,892,159,188,989,287,042,769,496,423,714,995,193,731,593,228,392,
478,841,183,641,861,766,019,293,502,438,486,935,144,513,482,428,674,773,041,
500,810,386,894,239,656,311,040,220,534,021,186,135,165,897,952,318,417,336,
171,903,801,466,151,670,515,349,887,080,245,616,024,576,187,515,613,613,778,
681,848,002,366,292,015,413,334,075,869,461,790,907,179,425,038,328,333,321,
731,246,395,374,327,511,037,803,507,710,220,566,613,189,039,539,428,902,130,
440,428,952,329,632,186,149,885,193,848,414,157,374,087,189,803,324,293,384,
217,434,534,618,462,531,212,821,860,800,345,713,767,434,811,252,093,800,109,
425,248,086,572,355,093,343,780,204,069,516,231,235,356,681,974,630,767,190,
967,151,032,326,193,340,948,475,085,607,604,725,541,970,668,401,916,348,173,
970,091,251,233,024,865,464,520,791,341,383,246,767,856,032,945,456,736,539,
803,114,222,213,593,870,621,066,176,891,658,886,818,472,044,008,033,799,225,
532,983,774,606,190,042,977,261,460,393,263,172,708,541,763,687,841,460,719,
482,209,117,108,012,699,429,396,484,190,872,523,017,406,800,853,406,736,041,
008,365,611,119,744,713,812,234,449,714,062,124,733,927,557,200,797,638,941,
897,546,520,789,257,986,234,488,232,767,376,689,925,355,615,079,402,363,407,
800,852,735,825,501,189,093,910,650,512,889,343,232,061,628,003,073,444,824,
309,523,367,502,276,792,481,095,160,906,880,496,990,298,905,190,179,882,213,
911,892,566,718,352,732,365,068,307,148,052,994,331,588,544,619,205,243,357,
695,886,374,060,206,784,370,978,965,313,065,919,322,563,581,204,627,952,810,
772,055,384,009,673,697,688,293,445,137,345,040,126,640,713,566,817,497,525,
737,013,215,331,964,960,057,136,703,239,541,988,647,455,156,064,789,664,393,
334,319,370,104,471,806,460,781,271,800,160,595,712,371,992,118,793,523,886,
856,023,752,695,485,626,710,708,434,064,995,626,874,394,235,068,723,687,560,
388,300,024,918,167,407,332,202,643,801,637,644,061,867,776,849,606,428,543,
334,797,315,387,812,792,555,538,600,500,343,909,433,497,351,243,256,996,487,
040,488,023,038,702,361,257,847,400,699,519,895,948,397,812,472,864,496,006,
921,808,888,521,596,290,553,536,309,275,482,502,240,090,296,361,707,120,667,
032,822,118,452,221,566,319,928,592,835,038,472,232,472,722,395,924,147,842,
630,369,178,833,472,888,998,597,474,286,712,608,216,038,454,405,510,628,082,
475,233,433,197,170,010,051,943,939,448,930,958,727,129,149,432,148,212,821,
882,570,868,926,645,562,891,246,537,038,094,404,158,680,635,602,843,283,243,
167,519,820,730,273,396,136,943,037,643,488,937,286,327,937,125,096,818,617,
899,489,815,341,693,192,904,087,476,777,671,586,280,556,181,752,162,902,561,
399,290,507,959,786,646,450,678,797,164,510,029,608,552,788,620,029,503,553,
642,362,608,580,347,192,259,497,161,633,160,479,770,495,669,793,673,292,849,
545,951,593,528,360,470,517,297,419,089,998,713,773,075,520,167,294,669,280,
130,681,887,512,181,021,342,734,039,773,481,822,699,083,170,308,456,478,711,
953,243,803,035,367,835,257,463,642,471,312,781,218,429,447,554,374,494,709,
052,066,326,159,054,487,947,259,687,465,626,558,551,267,511,647,611,039,273,
510,586,120,577,518,189,630,455,342,181,557,780,656,043,919,504,157,009,417,
928,949,720,816,967,337,198,344,456,229,345,403,083,835,044,794,585,009,866,
066,451,744,593,685,275,555,012,314,302,792,601,355,590,498,900,013,843,355,
020,804,934,427,341,652,391,563,714,213,783,010,343,979,141,624,178,676,712,
600,225,036,963,204,682,306,122,484,600,266,034,640,841,561,771,621,973,408,
164,617,936,688,794,987,746,172,122,881,578,482,781,359,397,604,618,096,508,
115,062,759,923,438,012,396,537,184,954,783,703,356,370,943,837,168,107,432,
874,579,522,456,375,231,844,883,570,821,416,147,498,935,499,196,104,155,297,
349,733,194,523,223,882,474,886,207,252,614,278,033,375,738,191,217,390,211,
643,720,390,348,696,930,124,272,378,521,668,657,454,511,817,554,564,080,568,
955,416,546,442,390,103,900,310,307,202,048,467,010,994,152,076,240,312,666,
598,813,770,234,985,314,518,532,744,480,527,590,756,702,501,533,890,586,946,
454,607,311,861,545,876,995,137,968,216,750,743,305,280,239,760,956,235,389,
639,590,710,198,051,194,853,766,663,315,792,535,161,955,600,012,058,306,500,
716,043,713,464,197,364,645,271,124,485,478,167,578,917,421,422,504,093,559,
110,053,164,367,622,023,715,198,368,598,901,124,568,014,093,353,360,578,303,
543,863,997,703,084,638,827,613,098,687,543,551,896,009,967,960,181,516,884,
389,451,731,919,746,759,688,171,244,370,336,138,096,983,548,796,244,325,252,
395,587,552,446,143,526,737,876,353,474,718,486,376,890,226,486,791,896,109,
985,271,103,784,784,522,377,024,291,672,999,411,623,400,879,394,106,903,885,
592,956,702,837,897,667,094,440,807,493,289,901,117,879,213,861,941,909,307,
308,376,129,308,237,315,261,918,639,706,480,271,634,305,789,549,704,908,585,
738,907,217,257,250,470,867,628,299,288,194,957,908,171,565,346,616,443,119,
689,501,796,033,718,525,031,409,576,745,188,408,377,489,406,737,055,727,224,
119,302,821,292,554,486,395,068,276,936,008,102,123,518,969,912,005,615,078,
483,774,042,274,416,441,909,252,022,911,098,421,495,690,241,507,126,183,985,
276,650,643,051,252,255,517,486,946,754,909,555,619,318,810,183,162,424,326,
437,803,015,225,282,741,842,279,950,184,335,670,501,914,957,774,489,723,044,
963,046,666,657,099,845,898,363,873,920,268,391,019,619,383,085,417,488,944,
317,466,009,763,657,213,945,944,987,180,571,405,829,350,381,258,859,974,707,
521,953,407,049,375,292,900,196,103,859,374,365,143,794,884,610,348,413,587,
275,517,167,133,079,717,423,012,507,343,681,895,400,352,863,078,160,005,426,
122,445,205,619,597,071,634,917,470,250,403,183,061,483,886,374,671,595,335,
726,134,757,650,705,251,354,901,573,772,951,364,030,697,064,049,343,012,703,
179,238,634,459,133,201,129,013,260,331,822,298,039,846,649,608,149,515,631,
283,681,568,814,907,096,292,824,711,319,952,068,398,449,403,829,605,165,225,
177,386,530,799,322,620,334,706,149,648,673,093,534,918,603,456,338,211,334,
796,021,679,247,066,127,617,184,494,614,139,364,489,158,267,650,520,160,198,
262,777,575,606,231,961,575,796,306,729,236,270,891,400,304,803,713,209,635,
317,325,041,221,951,033,233,866,265,458,660,004,262,426,269,476,846,343,671,
098,628,249,454,220,525,196,429,248,828,160,978,180,372,145,052,299,838,731,
144,265,600,475,303,167,993,859,361,721,813,133,052,059,118,654,631,701,083,
283,293,251,803,127,601,929,469,676,212,871,004,920,230,705,819,897,611,989,
778,289,833,917,108,694,181,794,025,367,211,057,727,876,327,057,607,242,123,
503,076,780,393,281,555,020,577,388,343,654,801,263,452,287,678,049,191,044,
755,573,470,272,042,561,185,781,594,923,835,640,387,381,205,518,819,914,291,
344,862,899,207,153,794,387,367,674,858,516,414,918,059,720,272,243,307,034,
791,967,309,426,793,433,126,534,553,032,132,378,305,900,008,954,810,165,807,
956,596,561,825,289,072,217,315,298,769,289,347,642,757,540,131,083,312,335,
470,729,855,711,078,938,489,150,923,226,720,220,348,408,989,787,340,485,878,
426,327,115,239,529,516,123,209,417,946,494,377,417,286,917,023,340,705,132,
717,687,001,604,921,432,163,296,713,499,863,264,621,402,994,908,972,967,062,
902,273,534,433,114,171,398,760,326,665,859,951,492,978,060,779,586,160,795,
096,886,929,506,985,320,322,955,196,046,447,299,766,532,316,230,653,939,427,
015,037,854,084,186,019,070,310,718,200,244,495,992,279,437,736,076,940,526,
842,176,466,387,188,725,542,421,020,545,590,032,124,420,419,453,414,106,649,
315,852,240,170,016,574,936,930,654,907,034,055,008,831,212,265,986,367,544,
147,992,910,506,793,209,647,044,558,258,889,442,503,080,908,868,940,935,424,
888,734,812,755,134,766,843,575,540,225,250,430,315,766,458,356,154,403,395,
462,275,580,933,502,343,362,400,255,061,331,991,807,617,147,429,779,675,336,
215,916,267,937,984,295,575,034,284,541,966,238,461,111,298,016,276,523,646,
348,307,713,504,060,834,593,505,106,115,381,395,288,296,803,575,961,578,735,
387,150,281,295,210,971,273,731,570,396,861,003,012,939,094,556,912,508,644,
322,505,839,321,633,762,011,802,747,823,488,478,097,559,474,016,471,173,483,
779,888,987,209,857,878,620,096,591,702,418,108,706,411,244,584,232,843,170,
132,305,800,376,936,196,460,833,544,255,615,611,162,953,143,624,836,324,089,
592,862,082,472,050,834,545,520,508,844,364,181,706,470,873,128,318,741,811,
747,244,449,052,588,124,240,386,280,845,520,275,322,297,189,680,812,749,654,
269,859,408,875,807,417,975,616,641,615,998,916,190,849,084,598,314,266,271,
469,441,147,958,349,696,336,959,651,993,738,782,698,468,390,806,231,201,738,
218,871,352,972,880,050,005,302,646,147,598,455,873,892,300,205,608,913,094,
184,237,050,966,475,010,438,479,396,411,554,868,171,578,311,823,495,625,491,
179,853,527,035,960,051,403,303,841,042,764,759,897,300,130,750,462,390,875,
529,322,071,872,198,306,951,390,501,941,623,933,490,277,411,595,703,555,837,
507,995,925,153,531,026,930,505,330,512,957,466,480,452,930,006,183,059,288,
798,066,344,511,612,916,195,966,012,360,317,528,640,790,199,830,438,655,164,
458,987,103,556,075,139,029,195,918,133,336,026,522,686,270,432,208,828,710,
507,847,119,402,474,047,940,811,007,552,137,701,420,412,617,958,572,390,878,
757,363,030,751,511,951,247,278,558,722,730,854,722,724,517,884,081,691,252,
108,937,467,478,718,716,988,456,425,176,909,258,470,063,000,615,172,678,877,
254,140,871,464,811,827,396,021,919,725,441,255,589,380,928,656,149,145,258,
722,690,853,313,474,525,962,943,154,796,365,452,905,705,268,565,952,544,252,
443,958,137,894,456,553,202,629,714,372,381,358,729,173,034,957,614,266,427,
421,900,507,000,490,029,326,643,671,096,676,302,653,310,198,895,784,511,380,
170,418,732,616,532,860,790,024,945,555,563,256,395,093,585,316,314,745,818,
676,056,124,433,877,294,068,049,980,450,635,640,474,861,435,409,283,848,377,
830,724,938,546,054,965,837,269,331,237,426,030,873,357,760,506,376,254,568,
697,557,748,315,253,575,719,675,385,163,106,833,803,025,359,093,087,502,951,
820,986,639,615,249,768,667,615,848,295,394,633,744,012,136,094,121,993,275,
079,254,216,660,657,214,138,971,667,855,767,681,875,054,714,450,739,213,844,
659,831,323,770,537,346,246,994,082,621,557,338,494,284,399,131,757,774,512,
494,495,074,532,004,900,332,471,978,975,088,410,751,515,812,198,400,397,412,
236,664,641,640,017,386,619,828,081,645,489,363,042,709,209,155,428,021,532,
048,994,158,690,288,415,923,875,364,897,265,894,562,580,956,534,164,261,444,
753,747,367,483,569,806,693,866,450,500,097,459,084,639,042,900,764,753,828,
620,126,817,500,150,637,367,306,227,035,277,734,621,478,178,266,433,167,857,
928,284,985,651,673,859,501,938,086,277,377,347,253,290,740,506,002,160,283,
968,181,615,852,930,918,385,042,366,822,797,311,141,411,723,199,747,658,068,
293,039,545,946,085,268,273,789,113,281,828,884,675,187,858,667,336,160,851,
032,778,629,004,617,303,170,789,222,773,864,925,696,030,670,319,613,174,871,
014,894,044,107,093,174,781,062,092,823,611,005,468,930,231,784,908,983,330,
661,879,500,648,181,357,370,720,819,887,248,219,096,916,947,097,529,766,715,
682,796,610,073,083,580,434,429,337,408,186,259,723,947,157,243,760,052,922,
629,260,399,434,384,858,658,448,943,031,640,953,556,266,774,666,463,713,430,
485,894,105,445,733,555,128,372,143,320,865,430,392,966,981,446,022,326,155,
487,252,976,733,959,941,611,238,540,359,410,462,888,521,861,986,001,924,004,
629,786,219,327,831,069,400,259,073,459,557,043,799,747,708,936,483,870,157,
207,789,651,393,133,366,920,768,701,874,461,513,456,490,798,365,360,633,362,
047,194,830,473,816,041,502,144,886,280,634,593,125,811,623,480,643,684,225,
360,707,252,340,250,467,774,517,223,864,501,123,914,863,949,130,290,229,468,
738,398,337,325,960,599,455,129,438,612,129,993,200,702,821,808,969,477,168,
642,140,342,037,312,249,016,758,617,837,063,664,823,675,459,675,766,122,407,
249,593,560,681,346,338,856,237,498,634,120,022,859,677,934,337,107,954,568,
641,235,245,743,856,274,163,868,298,019,724,873,051,915,720,415,194,090,190,
750,472,824,275,249,013,439,720,351,540,288,430,816,854,680,217,007,273,846,
130,927,976,619,764,615,295,895,241,247,473,476,012,160,348,466,382,304,208,
043,139,692,978,044,900,059,771,778,856,125,944,489,142,100,004,631,719,613,
535,540,430,765,673,496,820,190,066,736,235,933,337,095,619,003,016,090,198,
035,467,421,828,665,914,804,982,243,550,419,671,365,240,625,863,967,830,858,
381,972,976,387,900,714,943,286,135,323,086,540,762,052,973,643,392,087,031,
997,131,470,021,743,013,054,244,512,565,192,950,623,719,439,712,644,093,309,
730,054,793,039,445,591,681,691,226,637,001,582,606,411,472,175,339,731,155,
632,045,780,747,955,500,403,786,014,752,497,316,921,682,640,383,655,294,290,
700,265,868,126,157,294,652,820,621,488,396,267,134,180,113,379,447,170,923,
988,204,055,174,309,578,418,522,875,923,811,591,666,222,607,950,137,278,078,
494,033,099,783,201,425,150,690,447,864,964,556,018,276,757,654,663,071,132,
832,683,119,655,570,480,553,161,184,176,082,788,875,445,938,091,015,298,616,
082,704,934,780,181,858,922,384,624,765,291,701,972,976,115,409,229,287,904,
461,101,788,320,170,251,604,133,056,466,908,291,651,182,070,829,620,000,434,
779,731,827,659,080,065,091,523,970,698,827,242,359,750,487,358,617,006,369,
512,569,956,754,300,233,970,037,301,529,383,843,242,846,297,602,802,626,508,
225,517,298,583,588,664,543,047,838,985,555,710,806,410,108,680,085,440,055,
691,925,281,209,952,031,326,537,352,690,827,027,416,465,032,962,217,293,078,
438,659,213,534,594,844,499,232,979,267,073,218,562,507,938,115,653,967,189,
458,578,015,693,386,397,848,194,789,108,785,513,140,716,728,358,273,016,382,
764,835,646,453,039,601,978,819,315,187,052,595,037,597,908,820,852,006,410,
274,033,384,712,282,148,569,626,498,873,678,165,794,451,903,886,474,886,258,
165,032,316,847,223,977,877,301,615,014,384,615,433,587,663,170,678,910,988,
914,087,775,906,291,663,858,729,602,271,096,387,488,557,953,374,202,407,240,
766,456,704,653,197,326,312,038,661,312,189,337,400,628,055,365,086,240,029,
914,140,944,579,995,161,367,871,130,309,853,867,780,492,295,075,192,853,119,
970,617,814,845,174,472,207,501,233,122,036,189,399,071,271,143,939,415,441,
897,799,494,547,652,755,626,907,218,627,127,455,826,865,497,772,786,640,719,
900,438,447,336,712,870,752,725,578,579,468,402,672,956,758,111,635,749,183,
139,412,702,029,048,886,604,413,899,170,923,189,743,762,458,794,163,671,132,
524,235,017,162,190,735,279,026,502,403,091,009,528,635,239,771,390,399,817,
777,835,705,384,272,647,848,438,593,315,275,744,808,930,404,532,647,798,535,
128,041,690,731,001,349,157,212,116,632,443,850,945,199,633,552,815,493,306,
450,983,068,509,260,234,206,547,399,024,539,118,916,410,886,462,208,982,238,
339,596,530,294,926,974,861,601,964,567,129,485,626,577,008,109,559,898,477,
748,671,851,852,916,473,850,532,575,364,932,039,308,174,583,788,850,437,011,
500,344,192,084,014,417,250,693,493,267,559,990,221,929,456,877,491,638,254,
687,875,264,154,225,170,331,514,423,886,299,215,117,229,264,975,050,577,046,
348,500,598,770,778,828,856,427,725,890,997,939,036,022,593,474,666,523,565,
049,428,742,749,131,249,491,369,539,161,913,290,430,191,833,307,461,052,982,
386,200,614,642,839,461,060,869,039,687,065,558,406,463,676,020,682,460,676,
537,449,931,748,722,268,652,071,350,187,001,696,115,320,034,482,623,392,359,
938,254,392,970,117,628,226,038,175,171,190,532,302,640,030,525,018,225,569,
147,470,276,841,658,044,863,692,052,226,963,300,036,978,886,971,694,487,738,
313,818,085,797,399,157,794,501,999,708,607,143,927,291,533,710,158,098,079,
055,740,954,855,278,350,279,206,823,816,821,474,488,695,271,937,280,652,315,
008,348,879,651,839,717,239,929,770,874,597,383,908,573,231,853,740,443,369,
843,245,510,139,622,108,848,022,744,699,460,730,890,898,166,358,202,107,320,
903,068,641,031,601,931,590,995,904,252,553,966,959,004,740,697,398,771,247,
323,128,898,452,820,804,260,874,395,508,265,455,228,875,934,525,617,673,046,
548,205,447,459,059,441,704,013,928,451,813,558,491,756,681,931,685,818,085,
690,448,438,275,653,286,869,285,640,009,931,156,474,269,180,929,366,290,649,
220,716,775,880,490,586,271,359,301,107,477,161,686,967,233,071,648,062,488,
989,065,491,538,941,690,573,297,680,455,019,690,794,120,311,734,543,384,224,
199,153,074,333,038,767,141,190,361,132,301,439,459,361,246,008,885,638,346,
834,858,548,052,759,241,192,766,237,247,583,111,177,279,715,268,217,776,331,
013,135,970,926,346,903,260,069,582,483,029,192,178,979,912,986,797,385,671,
477,909,521,978,086,952,484,028,388,534,530,697,713,702,729,787,094,537,481,
134,984,700,593,581,459,173,872,566,509,242,304,644,345,653,031,777,409,016,
831,239,979,675,582,158,012,247,248,671,561,583,119,205,882,822,110,547,430,
003,248,692,219,964,999,436,221,950,063,056,341,655,003,291,550,415,063,487,
805,905,138,656,558,537,178,573,676,781,119,030,996,704,252,573,051,043,121,
360,643,025,529,245,296,956,099,963,360,099,506,390,175,992,631,163,652,789,
159,734,442,428,439,967,012,638,209,429,900,528,525,600,924,812,327,536,833,
791,716,347,187,817,179,761,019,803,367,289,984,235,934,029,015,983,123,377,
884,464,371,562,224,730,996,866,100,823,628,641,886,262,576,754,087,878,222,
382,532,657,821,714,564,047,317,128,158,838,219,091,789,942,397,579,661,762,
234,827,608,641,121,664,386,215,399,293,134,204,468,153,791,201,091,186,645,
927,955,297,604,329,207,292,945,180,806,238,295,840,088,013,981,983,527,042,
377,708,262,241,871,493,144,839,060,294,078,412,094,866,775,532,207,420,812,
286,070,469,024,840,215,095,588,739,941,068,595,916,143,921,765,883,123,701,
234,970,496,504,536,022,215,562,120,493,089,671,884,467,264,162,752,599,065,
107,521,144,420,412,540,329,030,434,624,054,494,264,332,835,372,289,667,449,
490,866,123,605,925,374,763,233,636,784,267,096,854,312,679,752,648,168,922,
008,570,780,288,951,624,061,394,029,309,960,455,692,692,883,331,861,086,175,
015,567,535,788,992,865,383,494,092,717,414,038,806,319,227,112,958,711,183,
311,432,010,238,733,885,339,824,363,186,692,871,913,554,398,645,998,252,542,
415,113,253,378,712,781,086,684,124,400,012,358,629,645,647,147,457,991,484,
412,004,558,570,403,549,412,988,493,487,147,549,870,342,227,295,524,241,323,
503,366,217,247,624,117,285,543,933,639,480,359,593,955,158,530,009,092,408,
349,075,970,237,537,677,957,536,970,138,164,522,789,679,552,657,615,000,476,
030,203,902,644,540,536,172,134,563,818,658,932,003,489,692,646,457,520,614,
685,214,922,460,514,647,175,662,976,634,993,122,016,692,219,434,446,078,835,
017,215,563,261,506,768,538,854,856,612,428,956,021,012,716,467,102,630,836,
344,020,268,977,028,762,765,594,981,077,697,561,917,806,318,055,245,371,213,
595,422,314,371,638,351,722,270,049,836,637,090,338,575,412,603,141,959,284,
615,536,881,641,830,423,910,801,350,447,305,792,213,235,456,584,684,334,014,
018,310,054,212,420,401,090,112,539,138,431,316,765,318,879,622,438,520,816,
537,598,875,895,348,270,517,844,658,333,786,047,367,444,522,201,744,890,389,
648,128,372,012,273,015,532,218,508,168,438,870,423,129,091,300,210,884,552,
862,439,290,716,666,748,823,643,484,599,406,832,499,282,010,212,042,103,410,
984,579,816,388,979,210,013,604,890,396,776,445,607,892,459,260,519,454,631,
227,711,074,897,218,697,090,188,527,609,335,420,723,190,921,492,181,243,419,
255,390,290,222,036,611,454,841,284,514,048,736,838,483,083,509,513,676,269,
359,752,182,137,311,787,143,098,793,148,979,550,147,871,333,082,301,351,703,
515,726,462,587,054,771,397,534,585,870,639,744,970,681,013,891,957,782,526,
324,537,514,444,772,432,096,255,821,951,525,057,333,729,785,089,038,229,991,
081,550,868,522,223,237,102,048,741,445,093,917,868,194,764,731,443,967,498,
685,810,129,686,456,667,358,208,650,592,385,969,208,989,300,855,566,118,901,
888,797,350,905,824,931,570,935,831,084,541,659,780,129,407,041,487,816,837,
999,258,174,020,801,002,306,508,170,150,725,180,551,225,468,465,806,270,331,
773,485,937,694,581,671,912,910,773,544,687,791,542,579,608,343,090,451,445,
274,862,646,281,377,068,018,895,546,294,158,700,679,548,313,413,966,672,147,
815,430,873,753,690,067,757,404,519,277,604,479,699,908,160,004,572,304,179,
049,181,330,029,419,234,266,038,812,243,886,119,476,550,237,509,451,004,582,
549,646,836,852,555,890,587,452,550,896,247,691,251,394,012,244,655,780,967,
729,942,301,189,835,919,978,334,515,664,174,428,239,603,041,907,018,517,595,
549,897,398,703,567,829,626,294,456,351,863,136,267,236,399,959,891,783,889,
182,535,527,540,114,835,045,354,970,640,305,259,293,445,366,226,965,330,186,
860,505,687,889,222,689,615,272,269,846,925,425,109,161,254,133,384,941,522,
385,406,312,643,174,963,601,357,258,837,910,478,293,518,610,669,867,123,526,
012,964,785,159,529,419,154,722,763,220,062,744,172,965,604,928,175,014,982,
559,680,497,198,705,312,698,059,928,069,568,212,819,417,128,326,931,852,193,
995,571,928,245,468,139,265,512,432,795,597,269,818,884,860,808,429,095,466,
482,857,547,717,877,695,893,998,264,172,020,947,176,541,774,839,961,760,930,
851,398,276,373,069,477,386,020,103,270,829,067,510,520,986,379,676,410,781,
302,126,076,052,870,213,178,294,525,020,012,171,159,190,634,581,152,462,115,
834,486,198,099,442,362,176,859,298,377,964,758,648,143,596,224,925,342,990,
006,971,319,173,003,348,203,238,248,433,732,345,557,813,967,107,575,079,699,
723,812,871,129,739,668,824,278,651,735,016,752,283,034,246,391,786,605,065,
925,339,669,350,011,530,588,631,266,739,940,197,394,133,975,620,525,051,277,
375,195,263,807,672,543,948,369,915,639,728,703,995,838,151,999,668,584,290,
965,307,364,880,985,892,240,475,897,793,988,104,992,602,985,872,190,294,427,
542,196,658,329,436,872,656,104,710,476,474,033,423,506,706,269,690,252,899,
809,721,056,617,895,161,458,220,479,007,734,652,100,011,949,899,995,118,331,
320,689,629,790,945,698,681,691,148,799,419,911,065,696,932,642,899,105,935,
844,009,743,945,359,538,696,846,671,930,859,043,420,951,587,069,911,475,494,
607,439,791,081,111,438,765,975,176,951,474,573,113,455,267,307,199,654,805,
532,247,858,882,147,856,713,376,733,816,038,717,291,618,418,945,640,520,930,
475,873,072,646,050,995,201,848,667,842,539,386,753,185,183,922,246,212,844,
253,381,115,213,692,515,420,280,212,592,097,439,059,743,656,189,584,441,784,
805,670,406,110,929,595,051,032,292,072,300,259,042,469,159,409,849,280,080,
213,502,594,837,367,104,513,204,210,976,880,854,674,410,108,209,984,583,720,
505,564,281,791,766,103,775,186,821,447,028,112,530,549,613,847,468,713,927,
335,406,463,310,902,194,884,923,555,237,671,025,431,167,400,602,901,821,344,
972,618,542,818,045,071,743,785,848,167,099,449,807,883,910,942,818,049,898,
362,364,324,512,027,383,529,919,482,427,039,780,234,666,227,554,185,495,824,
509,552,405,107,574,060,931,937,976,227,779,392,578,114,261,296,733,110,138,
137,044,394,346,688,580,339,932,883,741,149,530,544,180,415,294,981,938,350,
629,684,233,851,450,139,555,620,143,838,447,718,135,733,999,400,070,872,104,
731,697,256,595,507,584,432,430,013,434,552,145,336,061,069,107,064,676,340,
587,441,059,222,728,046,853,759,962,481,654,340,210,609,668,972,256,878,587,
694,133,863,511,944,159,849,423,543,390,975,659,471,533,045,646,464,103,431,
318,021,413,420,728,634,040,697,783,151,930,933,224,391,643,916,903,641,201,
777,199,288,611,113,429,312,307,900,244,388,747,629,437,452,938,867,649,343,
167,969,646,769,471,388,692,344,404,889,917,045,451,263,753,764,355,247,963,
491,334,235,073,998,837,823,846,843,106,197,450,485,226,061,627,834,449,203,
490,495,768,959,284,743,896,310,398,043,407,176,866,501,725,697,354,715,822,
632,758,636,544,638,555,873,649,041,903,145,614,699,461,467,597,025,025,874,
715,733,298,795,045,661,431,579,609,274,657,534,423,750,583,260,395,786,676,
117,085,624,988,390,006,541,953,788,272,257,650,281,189,618,130,458,534,918,
670,045,883,426,111,762,198,475,385,630,912,724,923,957,980,285,830,295,862,
501,464,790,377,127,937,614,764,399,419,928,908,801,382,462,167,411,983,835,
707,435,601,833,982,234,316,308,262,028,271,807,378,166,912,634,197,911,101,
165,578,888,236,721,668,032,801,559,884,850,731,554,435,270,270,813,326,295,
808,269,240,272,833,205,437,308,281,900,548,665,921,441,140,363,954,427,701,
620,190,886,173,677,944,394,231,015,574,604,908,572,512,348,543,460,136,151,
687,016,162,145,769,050,995,142,792,988,421,699,299,321,694,621,116,677,366,
503,020,371,950,296,478,732,257,070,494,926,387,485,708,797,040,439,047,582,
752,085,886,717,991,301,044,137,585,006,386,131,166,314,268,589,392,664,861,
456,628,253,473,731,379,625,651,382,081,007,595,035,292,274,315,908,102,987,
595,385,069,538,936,506,942,862,358,802,637,273,179,892,504,514,660,963,750,
119,329,277,884,343,370,870,951,310,777,043,915,239,641,027,548,147,541,699,
184,290,538,843,433,584,923,059,470,251,793,246,952,875,682,423,235,041,264,
152,512,447,220,763,634,097,816,348,733,899,856,197,156,092,606,918,636,713,
360,827,235,868,649,801,308,989,456,717,232,962,954,022,178,613,978,316,486,
924,727,984,226,428,639,806,178,712,061,028,132,010,999,742,465,108,949,693,
671,642,256,825,821,420,607,966,104,388,659,216,819,511,594,785,132,994,450,
947,289,929,704,240,547,079,245,016,592,821,511,140,301,117,643,163,083,816,
649,380,925,421,701,118,211,394,275,733,115,222,442,586,803,728,533,697,057,
421,550,506,249,411,582,022,511,743,138,630,687,263,773,785,986,995,058,698,
776,033,158,057,986,943,564,197,014,347,528,464,224,836,358,412,058,654,771,
425,983,097,955,825,820,925,213,705,085,613,202,834,987,234,914,385,548,034,
481,715,018,196,706,171,963,084,215,004,078,435,380,443,043,431,006,141,261,
785,815,612,878,328,814,522,711,159,532,294,208,396,599,317,229,973,862,059,
188,092,692,535,325,549,151,205,288,625,918,378,929,541,421,593,233,447,409,
874,912,569,317,917,612,274,452,313,358,380,165,667,020,376,779,870,402,587,
942,598,194,947,413,769,488,630,913,504,162,115,350,386,805,832,646,724,566,
743,692,102,092,274,051,914,637,305,956,625,390,080,318,294,844,300,900,759,
425,659,965,571,268,020,299,304,519,602,885,989,948,688,884,399,619,707,498,
871,961,065,450,326,213,392,024,582,602,128,897,846,108,949,184,579,543,408,
373,588,034,451,135,588,809,369,893,126,896,843,166,653,107,389,563,455,343,
144,770,703,155,423,599,550,512,720,114,493,638,229,727,711,776,426,240,650,
096,053,791,138,273,704,126,994,689,180,153,082,225,023,879,565,694,173,362,
032,316,667,272,112,064,728,424,825,515,628,706,118,079,176,950,399,714,096,
102,784,460,803,779,982,322,576,247,364,011,894,354,591,411,010,184,844,663,
323,042,180,490,355,205,770,450,580,232,687,023,795,860,022,898,399,865,377,
001,997,266,025,023,872,372,291,159,838,207,361,421,187,179,960,719,860,648,
918,162,746,040,165,019,234,879,465,232,100,718,457,186,059,102,447,898,070,
358,509,422,737,275,826,956,388,040,814,360,020,096,687,012,814,208,977,113,
847,240,577,367,816,325,340,529,813,933,011,326,398,680,570,813,858,483,770,
120,001,352,748,987,790,541,024,435,186,509,477,336,367,954,723,951,942,954,
816,700,953,261,111,858,831,758,943,501,256,183,560,867,275,758,621,952,859,
392,444,925,258,774,816,608,921,358,270,110,137,005,681,083,456,931,782,886,
403,525,731,130,263,022,899,849,327,913,074,177,052,811,941,541,744,846,091,
708,197,959,680,295,157,905,742,251,725,085,683,720,121,087,993,789,172,598,
590,601,750,417,301,038,501,548,128,949,568,832,412,776,998,691,571,756,322,
599,206,926,027,178,947,939,575,310,303,225,986,150,021,482,167,543,686,584,
597,967,776,217,053,063,150,074,944,832,280,697,212,105,574,409,923,784,462,
570,947,487,557,067,140,339,060,809,125,201,592,581,561,186,326,415,242,471,
263,951,292,834,701,184,929,372,726,981,276,815,504,786,958,235,490,521,728,
138,229,844,770,712,632,614,744,495,627,789,256,053,050,025,679,039,699,311,
226,978,780,860,702,000,881,222,911,195,231,373,544,859,322,372,660,245,471,
327,547,470,757,026,497,390,535,193,314,957,528,812,009,552,688,060,175,029,
601,641,002,417,859,670,308,429,247,137,718,421,404,439,779,048,292,650,330,
946,826,992,723,194,968,866,845,653,366,126,625,204,575,157,076,794,406,556,
174,929,669,932,661,417,804,369,107,930,201,274,526,834,351,312,484,040,292,
731,567,552,525,946,370,067,757,372,697,292,496,564,758,877,127,655,994,910,
072,258,507,166,147,221,972,390,838,181,080,038,803,752,013,121,703,925,323,
982,536,812,623,743,999,996,326,757,556,246,612,802,868,359,532,089,783,592,
704,228,714,696,956,395,716,009,302,859,528,269,951,292,650,056,877,364,055,
183,907,560,722,248,258,749,147,234,356,999,538,692,112,156,830,369,684,004,
408,556,257,442,159,437,219,418,766,005,086,887,291,394,163,696,444,426,995,
531,711,925,126,594,748,082,434,394,982,954,867,284,004,016,555,140,918,355,
441,321,301,366,630,779,529,495,781,837,587,713,825,076,095,755,273,621,887,
762,282,409,715,374,542,935,583,508,983,942,913,614,982,032,254,038,412,285,
992,164,351,249,273,775,213,057,234,452,379,535,155,297,905,086,899,659,363,
205,299,400,747,696,975,603,867,183,702,022,297,338,484,108,329,203,406,494,
537,851,493,507,675,931,814,809,723,050,728,679,463,814,574,803,287,330,018,
216,337,338,807,837,275,500,154,400,749,047,267,053,906,004,215,315,147,702,
144,384,975,111,980,632,275,841,923,953,948,203,240,916,496,687,217,584,106,
328,262,824,902,619,827,053,699,812,556,675,783,412,150,002,178,541,530,875,
407,434,824,661,849,313,227,821,110,903,139,204,282,115,123,845,672,825,397,
464,273,081,567,331,916,672,928,814,887,737,895,927,471,752,002,905,446,303,
252,216,379,310,853,187,524,934,226,546,129,399,167,772,900,518,528,264,595,
524,119,668,834,572,155,288,748,104,995,650,527,101,512,302,296,129,952,948,
712,506,927,318,275,367,956,132,948,468,590,800,529,341,478,185,730,367,466,
384,318,048,700,959,209,802,099,962,455,434,524,530,754,257,663,612,684,000,
558,753,878,997,200,333,954,200,542,496,825,636,748,928,658,104,384,142,527,
305,303,935,279,288,454,556,775,733,623,916,656,910,354,551,007,424,262,501,
161,038,947,466,081,000,061,207,810,387,904,707,327,194,867,154,304,288,527,
921,013,369,303,432,911,704,455,040,949,965,552,196,755,019,921,388,716,893,
353,383,564,645,084,275,755,773,827,147,293,143,937,256,986,459,606,713,598,
506,730,920,693,795,723,852,410,575,499,973,898,644,940,688,945,419,908,256,
604,850,514,797,560,751,239,881,022,515,911,824,884,140,392,375,800,089,377,
065,147,062,690,712,880,147,190,608,013,906,038,091,830,388,279,951,853,161,
263,504,213,270,712,311,150,578,034,491,212,210,948,456,032,734,933,085,459,
403,609,324,292,415,583,529,570,707,927,065,435,436,455,557,206,815,421,757,
298,140,093,486,104,649,181,843,624,041,999,150,526,920,546,775,532,737,654,
627,871,295,312,326,627,486,264,395,549,934,365,559,374,579,613,008,163,678,
698,746,223,233,351,854,484,078,453,111,773,414,971,886,413,953,553,492,278,
135,403,433,494,939,575,498,642,464,772,740,090,546,868,847,843,207,541,980,
187,635,590,388,546,667,069,708,032,888,436,187,137,316,993,368,902,352,928,
366,367,052,448,773,533,729,295,655,181,275,659,512,726,286,852,632,585,043,
818,415,013,039,172,995,352,774,048,715,231,290,134,030,866,430,987,197,313,
553,402,778,151,196,542,890,840,346,357,665,414,552,257,394,157,643,718,020,
387,044,887,754,923,829,692,059,553,306,803,925,852,958,679,253,065,647,894,
211,629,778,891,936,628,487,294,471,743,171,502,568,811,770,054,608,626,704,
210,453,484,359,090,717,849,418,648,623,926,459,010,562,861,517,956,489,295,
845,138,775,582,014,020,074,396,485,866,038,206,616,622,771,829,772,231,616,
629,983,377,749,113,194,397,565,879,713,017,307,316,923,026,149,583,720,199,
643,809,755,046,057,883,437,936,153,684,963,956,050,061,380,810,878,773,604,
774,728,511,281,251,568,450,910,894,848,272,969,113,786,976,070,414,382,079,
104,065,319,354,506,218,706,165,244,209,619,378,603,160,763,860,928,519,447,
586,515,099,038,833,356,134,973,782,285,568,625,157,250,928,386,305,599,793,
490,940,205,705,745,509,387,240,019,196,794,788,450,200,910,429,785,206,026,
492,702,475,247,068,562,109,176,317,049,143,074,339,403,581,319,787,097,313,
902,127,506,891,524,753,482,742,068,646,576,234,831,756,904,297,658,671,725,
219,387,776,577,833,021,132,022,961,944,882,257,962,385,139,435,553,568,757,
842,256,196,756,472,664,537,149,195,682,648,317,041,102,750,500,332,392,263,
725,276,887,568,493,408,855,301,859,685,529,399,874,593,219,278,654,664,383,
477,008,777,584,443,626,180,054,062,666,877,757,012,527,609,421,704,333,828,
451,577,402,855,087,567,511,205,654,346,550,811,834,607,004,520,330,283,357,
393,376,910,836,836,746,749,798,255,743,487,085,616,682,717,605,894,626,504,
942,392,034,784,613,820,740,315,336,178,805,854,059,673,859,293,560,416,769,
959,655,079,061,858,949,100,158,961,526,570,526,458,492,021,668,406,955,171,
954,947,103,669,059,160,747,832,717,644,986,516,182,399,270,801,417,473,784,
352,523,523,231,599,359,137,245,314,631,580,460,748,857,584,877,583,680,327,
258,956,854,876,032,484,948,209,700,976,036,472,200,093,965,757,716,894,926,
231,504,327,417,120,551,670,456,211,664,015,536,306,975,902,025,255,146,617,
737,075,149,260,669,895,331,013,742,531,411,849,301,678,129,114,135,366,257,
801,830,045,547,133,081,178,957,172,052,976,343,975,632,506,060,905,301,097,
862,188,829,707,572,120,175,621,558,132,730,070,064,925,990,924,282,760,543,
533,665,174,506,162,078,715,884,450,497,419,134,463,714,974,727,695,273,853,
836,738,055,336,963,419,271,193,249,490,685,270,978,148,810,827,455,095,675,
983,853,755,366,690,550,510,788,812,391,449,329,093,291,645,069,708,636,148,
935,473,978,543,553,362,669,231,540,120,603,110,308,754,744,232,904,548,642,
108,274,538,643,460,838,459,196,494,290,495,628,260,933,803,838,895,061,281,
010,567,850,043,416,221,792,004,414,979,541,019,368,846,479,909,050,630,340,
718,606,632,284,455,496,580,523,771,245,040,307,952,015,358,435,781,495,583,
300,972,350,471,510,442,747,042,887,616,072,313,658,240,274,250,742,978,525,
256,889,114,528,180,773,012,484,412,838,986,275,230,857,059,383,121,886,456,
656,841,684,636,186,246,223,810,825,057,215,123,012,029,691,504,587,185,486,
552,141,882,230,843,606,603,504,680,053,888,184,299,371,477,533,750,435,545,
101,990,878,881,225,032,570,101,566,072,780,702,978,141,377,980,191,124,113,
919,733,103,745,048,600,299,641,196,747,978,335,214,635,975,202,264,318,891,
773,996,777,643,979,002,324,885,885,446,651,910,628,075,281,696,679,124,443,
410,552,516,860,159,204,204,308,992,896,155,915,571,116,150,616,297,656,117,
144,918,143,430,885,374,526,032,894,115,732,787,001,649,820,103,358,938,079,
321,600,956,043,487,858,461,986,289,988,310,786,766,935,795,369,174,228,780,
463,214,725,683,159,250,626,397,224,450,301,441,089,920,318,897,341,241,449,
423,556,021,329,777,925,068,240,077,767,229,881,468,499,551,076,426,234,432,
471,688,033,839,655,956,773,153,802,748,364,019,546,936,030,322,936,378,850,
237,060,935,391,765,412,667,866,576,677,716,671,115,111,548,206,209,493,515,
034,505,075,903,836,409,314,138,955,930,418,571,599,497,464,947,283,907,592,
277,017,245,222,587,287,452,547,205,009,621,700,970,860,496,422,565,248,083,
123,289,058,594,958,981,865,005,472,931,732,919,956,304,106,896,322,763,567,
833,100,529,456,946,576,969,779,016,393,926,187,545,450,560,147,949,633,503,
024,561,615,060,087,000,740,874,737,528,365,835,931,878,097,924,649,126,907,
761,479,934,391,335,010,670,264,739,654,810,831,945,023,767,723,126,176,048,
585,923,766,172,080,119,108,567,989,832,674,764,710,792,475,740,135,288,724,
334,386,900,778,518,424,897,148,152,485,587,952,859,544,381,889,164,342,978,
957,581,464,946,154,428,517,871,920,049,186,832,028,496,342,747,494,138,312,
086,202,361,146,752,499,436,566,578,184,799,633,756,354,498,875,058,885,248,
605,588,699,564,002,291,282,603,653,420,244,589,405,531,751,726,127,464,095,
325,434,048,406,417,563,977,404,661,408,807,522,362,184,323,252,264,648,143,
312,772,269,873,434,690,200,671,967,675,733,798,771,274,962,479,985,852,564,
966,124,103,204,839,320,221,032,690,805,504,934,346,012,252,397,840,031,263,
954,743,074,028,622,933,495,137,974,923,029,670,992,751,080,034,367,079,639,
750,207,503,283,639,884,560,561,454,003,486,297,060,292,428,959,641,850,001,
729,818,827,428,290,425,262,517,974,727,886,212,710,076,247,613,595,561,151,
509,929,020,533,268,118,187,751,066,641,246,661,964,041,922,442,929,075,984,
913,332,739,116,418,510,379,634,201,884,528,413,080,683,732,643,396,590,737,
792,783,438,879,003,401,418,199,230,742,561,278,562,982,023,451,699,821,597,
460,375,694,277,892,221,909,285,910,864,391,070,098,700,393,157,188,773,917,
702,230,486,230,658,932,234,101,190,896,321,201,522,527,620,604,764,622,374,
005,754,563,344,108,278,614,660,938,160,235,285,159,166,570,529,796,610,794,
218,170,621,491,582,130,828,265,228,713,444,636,047,151,874,781,549,839,998,
895,546,525,805,722,210,877,148,388,444,536,395,347,884,008,616,388,953,113,
140,635,774,258,450,504,763,147,970,656,739,816,180,447,837,892,522,440,484,
808,830,704,268,033,352,493,147,500,792,933,891,689,583,797,077,804,207,465,
765,019,870,000,093,652,307,975,456,203,065,935,862,160,674,073,531,943,061,
429,755,675,605,401,572,836,312,601,295,380,269,206,179,143,251,667,667,766,
952,390,964,667,439,869,059,043,592,289,854,077,944,109,045,167,292,670,495,
502,268,552,233,890,733,235,518,157,525,404,660,506,599,577,996,283,392,743,
367,193,031,898,885,258,677,439,579,915,574,913,650,635,518,638,513,178,721,
302,293,318,096,292,169,821,583,176,356,148,463,404,481,819,290,472,786,915,
338,105,492,375,409,969,212,431,005,211,966,037,413,891,563,554,694,922,621,
824,702,970,018,117,258,665,732,676,363,850,946,411,553,994,966,932,973,104,
589,181,048,244,861,854,861,258,631,833,827,087,442,469,512,144,742,260,431,
809,117,299,783,449,178,589,114,028,857,120,331,540,789,437,086,544,101,952,
264,938,558,864,753,895,156,210,503,586,566,619,598,413,397,843,698,177,842,
434,175,940,734,163,467,954,250,909,776,711,333,309,784,309,252,029,472,701,
853,888,595,084,310,672,349,600,193,640,955,403,358,390,332,976,332,326,978,
976,752,207,115,446,658,875,913,396,986,411,361,067,870,330,679,906,542,924,
224,850,745,076,198,979,159,618,712,212,809,919,336,287,076,406,573,711,873,
898,357,837,062,995,473,719,130,863,849,270,764,702,433,487,748,823,819,229,
321,625,776,871,465,435,277,483,466,555,422,445,716,288,403,961,191,512,598,
448,088,059,531,200,837,325,263,407,197,983,566,650,567,403,235,500,868,096,
851,855,843,796,773,544,047,063,205,771,246,732,074,354,002,078,140,020,961,
547,628,257,226,788,327,975,746,994,883,974,955,750,316,052,287,608,309,648,
485,535,845,164,059,432,125,201,070,978,229,254,442,782,477,990,183,437,869,
853,092,155,126,600,116,260,698,135,193,110,008,353,929,166,689,925,030,173,
966,073,206,091,226,071,253,835,340,493,866,701,753,911,228,239,319,972,965,
253,985,823,000,514,592,058,338,359,626,413,526,870,987,446,575,370,208,661,
932,751,998,928,514,410,332,587,670,480,936,746,505,061,519,396,814,118,020,
999,372,986,624,208,244,681,729,067,635,587,487,450,871,028,636,084,604,960,
223,774,723,773,587,999,462,033,995,892,773,906,212,568,584,873,640,135,527,
444,816,902,914,623,901,004,816,027,557,627,909,268,273,826,253,007,571,533,
184,027,980,444,461,549,206,035,691,560,859,865,258,892,605,877,771,254,639,
453,202,634,422,047,877,926,718,006,133,348,755,099,072,544,697,647,941,063,
976,133,376,235,318,600,142,159,583,263,230,787,785,883,650,220,749,640,230,
034,900,874,488,206,722,916,489,766,277,581,236,490,870,808,666,583,041,323,
252,399,142,755,617,887,169,135,241,849,108,547,534,967,196,409,093,273,399,
244,251,764,612,593,186,928,278,408,362,200,407,940,579,283,149,748,813,907,
330,310,734,838,470,274,731,888,567,890,378,305,087,640,480,137,911,722,823,
688,747,781,551,525,060,792,290,490,606,046,785,455,883,064,712,788,297,120,
096,762,500,004,924,915,248,290,718,414,494,358,039,254,284,024,253,744,917,
196,972,987,748,409,010,347,714,335,108,309,204,871,155,979,103,185,588,400,
748,269,857,989,178,657,503,126,963,948,101,459,313,106,779,015,410,722,568,
331,447,672,703,236,888,007,981,314,932,460,688,066,585,841,118,984,971,133,
584,950,194,564,661,169,518,609,889,862,070,830,765,694,675,104,673,019,061,
008,802,708,944,191,377,341,308,385,265,446,874,661,004,512,558,873,458,136,
761,719,260,300,221,159,204,521,394,902,339,925,670,724,864,378,500,183,002,
157,801,902,397,940,375,862,181,166,157,976,738,850,549,584,522,475,072,191,
990,446,310,075,444,004,020,912,133,147,466,523,436,373,470,595,434,320,002,
991,305,548,277,378,693,217,846,844,454,946,396,514,565,350,994,729,117,310,
863,737,387,640,169,425,779,494,344,008,576,332,445,157,645,494,021,214,899,
397,004,809,675,860,405,898,471,684,203,165,205,116,183,266,856,106,667,213,
009,816,437,339,610,216,383,361,992,879,296,023,015,282,109,623,653,130,506,
828,238,543,994,657,954,913,886,743,585,281,166,268,857,659,610,596,059,865,
870,703,833,773,082,045,127,434,186,017,479,484,807,009,465,260,601,501,457,
703,676,991,073,397,356,753,544,078,877,394,393,249,604,551,623,204,557,110,
739,705,456,666,048,883,763,436,646,197,731,552,127,259,322,633,833,882,748,
509,729,895,185,273,123,188,004,153,962,556,716,240,978,392,526,840,880,553,
667,638,383,460,744,650,274,557,958,509,677,157,784,088,819,255,171,515,860,
053,558,714,734,830,752,021,469,351,844,365,221,836,000,335,204,495,245,704,
406,182,840,818,505,296,707,900,845,624,759,225,923,797,744,071,546,155,101,
999,583,736,700,402,256,692,942,070,505,504,746,508,890,699,132,809,907,015,
182,495,294,640,932,089,116,304,695,344,754,327,664,891,814,016,634,122,637,
202,109,900,784,799,905,795,477,171,784,537,875,350,990,685,657,615,168,795,
119,901,524,976,989,632,593,991,182,055,796,822,002,616,663,881,048,130,768,
130,713,123,528,445,090,342,283,677,757,037,650,954,387,612,622,084,167,789,
830,386,636,417,017,098,007,943,112,954,775,010,780,260,692,264,296,637,829,
424,542,517,363,994,190,460,216,241,355,906,783,366,968,706,651,280,379,567,
333,177,021,450,893,226,860,749,712,543,714,002,774,611,348,403,699,222,861,
828,648,298,254,318,325,537,134,932,287,371,928,474,603,511,967,139,880,517,
234,106,041,051,711,076,769,940,924,099,180,044,288,766,331,267,697,401,111,
248,965,174,678,720,830,789,708,524,450,827,461,379,467,710,155,019,176,901,
379,309,760,035,002,932,379,808,946,302,901,641,474,762,407,364,322,480,269,
371,763,179,017,444,708,005,047,390,656,393,268,012,927,845,540,051,012,735,
665,910,581,823,684,718,266,037,873,126,204,349,733,929,167,614,284,111,814,
385,973,908,626,648,982,683,714,834,769,427,405,718,685,887,461,080,179,675,
110,663,237,150,378,168,383,825,566,433,858,528,585,598,496,630,030,437,345,
636,785,655,555,149,668,556,010,085,516,585,252,455,296,776,757,491,360,340,
329,997,519,298,206,886,174,416,499,439,723,600,753,451,506,602,265,039,180,
972,392,111,147,438,558,939,500,619,571,756,377,165,492,391,968,208,624,860,
658,596,377,572,115,337,978,400,173,434,084,426,020,146,627,657,548,260,646,
855,567,410,769,862,099,796,571,664,945,650,227,285,635,348,036,240,660,702,
822,691,883,321,766,915,475,470,297,121,200,175,376,069,753,705,940,219,019,
390,963,228,680,579,299,862,139,894,126,435,900,942,916,627,022,818,434,410,
518,893,919,529,908,879,297,614,615,102,585,073,412,996,352,006,838,415,250,
766,216,036,327,559,916,896,999,791,627,744,956,319,490,700,923,595,540,603,
661,002,508,511,897,192,612,628,204,584,712,734,749,055,994,835,022,191,971,
451,379,732,314,569,247,687,041,020,243,787,090,004,583,692,821,717,365,263,
872,427,517,583,004,823,404,942,666,632,221,246,104,469,906,991,448,199,077,
697,051,102,981,705,843,091,661,685,589,151,784,679,394,191,606,078,178,936,
680,132,917,455,093,951,746,596,093,294,336,269,580,897,997,815,307,695,556,
128,503,160,960,144,354,805,379,372,017,630,109,811,181,233,555,178,158,979,
947,849,458,559,855,539,243,025,915,037,552,847,826,247,722,231,833,957,379,
215,881,529,922,074,182,137,331,466,940,351,150,617,070,023,842,198,015,545,
300,827,875,968,516,956,287,162,925,006,730,111,048,791,296,692,059,499,130,
368,839,639,500,786,635,020,923,168,171,342,617,985,241,090,709,457,468,626,
746,674,133,909,980,650,692,128,388,684,967,796,547,556,976,152,868,516,152,
970,493,559,982,657,241,421,471,295,683,131,838,002,233,931,828,624,718,204,
372,467,013,042,026,550,206,418,223,906,390,154,201,341,529,717,275,534,153,
151,927,350,805,143,922,749,841,523,120,512,287,622,598,579,578,051,562,622,
035,072,922,562,726,505,466,872,837,253,171,714,818,851,084,522,862,790,769,
008,811,032,360,934,979,358,115,065,579,768,944,657,881,088,062,107,528,179,
623,304,176,977,195,282,454,173,330,432,894,259,321,089,460,492,023,650,296,
850,097,424,832,554,874,854,816,857,917,507,374,099,069,617,102,898,364,837,
679,272,641,917,506,343,857,487,662,010,500,953,263,317,943,243,356,019,279,
685,433,494,065,584,576,852,486,633,060,032,505,004,990,304,169,691,131,762,
624,126,258,869,239,880,721,201,612,176,901,214,384,551,506,350,198,818,749,
359,912,856,873,892,548,136,588,737,290,604,950,415,357,688,847,194,099,020,
068,741,031,810,209,450,262,385,957,898,658,264,153,666,651,273,209,664,912,
512,691,784,335,054,483,029,096,833,946,129,108,426,405,520,957,311,711,535,
444,665,183,028,552,996,128,123,713,746,902,281,268,203,075,693,540,846,406,
019,511,451,733,281,123,562,801,462,972,073,813,998,541,221,074,595,369,615,
385,158,339,943,358,197,903,988,848,102,668,839,200,993,480,170,008,851,069,
391,376,003,042,441,791,123,996,098,981,376,661,389,870,768,528,563,381,353,
566,384,414,302,875,098,271,574,729,437,427,264,525,199,980,865,925,389,412,
008,932,119,701,289,132,422,122,085,961,122,000,317,825,899,434,458,619,552,
793,488,318,348,161,455,077,700,068,612,884,410,002,894,199,316,744,183,737,
784,112,500,088,991,704,552,927,755,175,318,199,214,295,284,360,604,023,683,
607,380,433,771,976,946,601,412,555,276,070,240,913,391,656,474,596,070,309,
124,238,999,386,185,181,972,714,305,177,717,533,552,617,221,061,345,323,370,
094,420,289,982,673,257,359,288,185,926,206,331,236,057,055,815,889,479,100,
299,607,453,739,962,599,629,819,700,501,109,488,235,911,770,676,981,833,966,
392,514,908,293,583,601,745,129,074,526,926,529,738,554,401,550,147,015,931,
470,069,156,145,378,540,256,885,507,524,883,553,232,021,815,116,631,551,595,
207,322,159,412,063,729,889,072,957,436,782,970,475,229,223,208,314,428,330,
155,915,168,551,358,074,088,973,573,808,381,404,262,263,647,905,549,291,715,
319,419,846,426,006,416,775,658,445,978,559,592,989,801,981,569,963,233,778,
084,295,120,923,939,597,889,920,800,595,278,129,366,587,729,074,344,917,332,
977,352,130,381,041,533,119,963,003,471,170,067,373,354,460,342,206,459,416,
988,753,983,190,153,090,243,182,693,807,015,904,565,439,290,194,968,705,191,
034,471,218,908,223,869,478,164,318,156,668,832,955,940,195,180,781,267,228,
180,989,749,835,082,513,512,647,165,483,708,960,169,419,402,242,643,569,616,
574,069,263,377,647,605,674,188,842,725,420,724,323,009,528,859,517,393,658,
370,441,397,673,708,645,528,351,054,683,127,682,126,831,210,737,651,520,827,
543,507,642,307,857,365,382,568,179,710,055,024,951,960,734,371,365,316,977,
852,307,766,690,939,728,328,084,351,800,557,688,145,903,515,862,796,161,285,
739,162,956,332,597,262,957,065,540,247,743,575,202,847,281,734,683,345,175,
857,594,093,717,050,253,543,022,746,040,163,025,064,161,901,448,658,976,986,
124,158,081,088,645,457,602,477,043,527,874,136,187,166,796,145,536,226,174,
085,243,155,207,177,848,114,721,056,199,756,943,992,324,806,198,489,591,492,
041,625,676,499,731,515,712,047,496,833,979,767,067,950,658,360,481,345,718,
914,292,033,598,117,895,796,036,849,744,496,894,021,932,853,216,328,461,370,
094,451,032,708,092,816,366,011,988,629,728,145,373,851,696,398,119,131,112,
718,795,185,721,039,259,983,672,283,148,437,855,537,957,807,024,253,509,636,
823,009,951,923,743,964,356,300,196,737,191,945,290,904,504,323,248,098,876,
180,574,567,345,716,129,376,679,023,746,388,800,303,709,793,767,144,932,393,
894,510,076,872,705,194,205,478,700,758,641,291,338,739,363,281,080,010,745,
957,486,857,863,874,019,392,721,491,949,911,167,353,407,286,610,903,566,508,
321,583,562,830,072,742,909,615,156,511,895,334,392,596,416,459,360,382,781,
417,730,236,501,091,911,386,089,642,535,385,045,799,638,134,266,695,478,946,
415,764,550,760,544,038,451,694,706,543,149,064,414,582,527,550,656,023,418,
185,261,126,626,638,049,399,880,035,858,325,244,039,935,505,193,438,810,212,
644,056,559,166,125,253,614,574,430,168,976,234,963,698,278,332,952,514,571,
687,427,491,087,941,215,763,976,765,473,855,799,884,223,408,532,750,265,294,
221,913,626,776,714,117,655,138,480,648,492,232,094,721,212,851,604,963,291,
283,560,697,122,959,434,549,666,796,200,888,758,275,085,003,538,922,097,107,
477,543,891,583,996,637,754,316,776,911,636,451,143,396,955,517,090,009,712,
549,328,576,006,237,486,464,748,727,379,943,583,897,137,633,422,351,634,322,
923,555,451,176,873,970,557,599,264,777,964,052,941,413,894,619,256,943,561,
057,840,788,374,582,480,672,234,059,853,323,177,821,629,110,308,907,904,640,
072,801,172,681,361,557,494,388,916,069,248,671,139,026,455,022,770,408,598,
622,332,547,547,631,399,441,551,920,490,655,992,749,576,116,457,234,848,433,
709,645,610,343,933,804,600,759,816,195,325,839,767,064,117,318,199,732,521,
638,683,985,970,664,792,983,807,087,231,191,740,371,504,482,919,318,806,028,
594,531,477,820,976,683,450,894,261,073,711,355,140,458,916,707,489,612,732,
088,061,842,453,040,603,775,385,706,171,822,539,759,595,530,255,205,668,400,
626,500,533,098,394,676,081,170,330,500,955,750,779,373,824,901,386,877,465,
775,249,201,133,344,146,943,177,032,596,387,872,084,105,476,989,294,112,088,
306,057,545,204,246,672,740,865,951,766,629,019,881,517,115,408,235,455,398,
027,581,640,185,609,195,959,392,359,722,629,477,522,768,613,226,589,776,986,
872,839,313,481,942,822,446,884,680,676,892,582,467,442,688,642,202,333,975,
639,337,128,578,441,776,775,211,673,515,138,941,437,976,105,128,195,108,594,
787,935,014,533,592,194,138,326,878,575,468,060,813,728,230,234,995,268,071,
760,976,074,866,864,676,415,183,279,538,258,915,380,534,361,707,367,117,528,
382,698,297,149,516,827,819,813,608,431,409,998,769,691,954,178,381,750,671,
913,999,703,942,309,176,733,099,421,479,487,047,546,919,647,930,953,777,933,
158,471,374,501,825,638,442,097,174,365,990,981,082,700,623,729,529,926,841,
894,529,070,181,105,057,724,540,781,407,963,504,009,124,773,170,914,096,638,
743,817,608,067,147,470,361,310,177,746,909,692,341,815,515,620,559,022,347,
694,284,607,658,749,132,892,141,941,472,702,844,001,622,710,959,606,497,454,
680,828,336,681,913,848,105,875,171,460,169,187,574,756,892,580,335,595,805,
443,180,990,692,472,788,067,318,113,529,788,763,015,997,607,402,556,188,482,
401,517,491,899,550,720,051,097,013,084,621,019,429,742,404,007,732,608,503,
238,267,120,393,910,795,712,284,645,556,796,882,998,984,193,683,673,800,142,
202,367,445,463,023,756,754,152,663,615,741,668,536,791,508,287,860,961,824,
994,160,312,564,429,999,552,957,684,769,329,784,933,208,689,121,239,930,692,
870,379,890,841,030,920,896,289,040,059,086,490,941,897,665,631,642,059,303,
824,062,382,221,222,028,506,031,548,134,626,896,831,546,733,930,574,202,586,
480,064,094,521,680,363,669,950,231,067,329,427,771,740,500,828,543,018,912,
334,421,061,180,364,244,478,426,438,787,875,676,596,791,825,763,804,715,033,
303,422,003,637,462,807,238,252,170,713,184,256,231,976,029,170,138,674,169,
388,438,487,125,660,089,629,853,097,529,471,194,474,083,257,144,177,031,005,
628,093,458,833,579,832,683,310,461,726,236,493,151,359,217,703,531,452,658,
680,578,956,024,553,770,052,114,863,691,726,336,174,041,351,054,944,247,852,
077,815,431,075,817,215,457,367,702,551,862,867,831,350,416,591,203,426,755,
875,242,923,036,271,233,130,817,164,511,349,651,967,238,964,191,723,831,934,
827,572,188,724,352,664,455,172,654,931,118,605,720,786,755,739,420,923,671,
966,946,716,844,570,223,457,208,058,544,220,733,615,699,909,920,056,617,361,
216,736,283,787,169,441,678,306,740,968,630,174,731,118,401,442,125,392,613,
405,589,284,059,040,877,942,509,656,084,996,249,073,111,769,430,231,341,283,
598,638,075,412,658,953,814,754,022,692,736,902,090,745,574,666,200,707,925,
096,488,510,329,281,962,494,876,270,838,967,744,490,864,919,912,895,847,833,
533,067,394,789,495,001,328,759,622,905,154,842,185,391,735,452,724,034,997,
050,339,627,392,628,725,520,191,648,785,772,022,767,972,726,443,261,403,325,
300,757,112,675,653,241,094,575,683,267,321,291,093,886,099,909,591,790,862,
578,107,243,225,215,718,979,326,255,865,507,665,933,001,561,959,512,616,748,
725,302,658,149,777,548,025,826,875,878,034,768,825,710,736,741,095,001,580,
650,171,887,817,185,718,393,498,877,720,039,355,310,319,192,675,327,909,703,
466,748,472,275,331,192,693,595,847,103,033,194,618,462,656,987,421,127,476,
139,355,981,632,441,832,589,151,297,111,264,919,245,373,320,906,180,917,493,
469,454,974,890,676,375,914,887,177,245,165,777,104,001,188,401,291,561,939,
690,027,766,703,163,057,639,831,314,987,564,640,541,093,635,698,040,684,890,
679,615,222,201,241,605,130,199,485,638,066,786,026,353,680,402,176,091,468,
604,940,603,506,387,861,630,951,034,566,212,494,574,477,714,470,719,572,266,
381,383,271,005,092,994,714,260,003,950,928,865,844,188,718,841,986,155,573,
178,783,769,727,131,547,002,386,006,841,580,823,114,570,972,581,843,410,592,
866,748,053,722,847,790,054,953,395,000,996,915,456,996,401,597,246,285,673,
412,210,295,389,706,157,924,019,689,020,679,538,696,253,887,512,005,922,847,
362,097,170,715,799,635,804,191,400,127,373,646,322,151,103,089,778,454,529,
279,186,087,789,210,266,370,049,259,447,872,789,849,463,545,843,755,922,588,
691,911,342,352,765,557,917,125,501,789,042,540,612,082,202,507,208,162,309,
384,468,086,134,097,051,461,341,047,902,555,781,444,429,819,139,375,131,126,
163,387,116,855,615,816,556,728,139,299,939,014,469,291,694,185,323,369,232,
446,849,993,569,813,480,789,196,748,997,890,897,832,668,816,063,171,187,699,
501,482,829,299,747,899,521,891,487,436,993,027,503,714,609,705,111,001,099,
170,937,769,559,413,325,823,720,718,217,698,513,203,474,975,538,464,643,258,
359,252,699,322,859,049,572,873,260,145,167,647,353,207,559,895,558,974,368,
840,922,778,729,058,076,431,001,930,757,805,288,325,805,184,492,283,785,966,
178,388,024,256,223,265,799,194,822,680,740,670,429,038,342,096,641,621,323,
305,183,346,444,833,737,984,252,633,886,281,046,233,808,638,768,659,430,116,
185,021,975,476,785,651,735,187,555,546,293,855,556,017,106,308,700,656,536,
452,288,202,154,456,105,001,034,268,926,132,895,030,647,943,774,778,944,729,
571,985,660,792,931,947,992,121,172,530,598,344,538,836,593,856,809,881,695,
158,060,273,905,343,255,716,515,806,563,062,683,938,027,865,588,194,068,669,
169,146,512,798,298,532,426,778,211,830,599,373,491,653,348,430,646,943,835,
002,774,002,940,015,160,858,416,473,670,282,924,457,635,935,303,824,984,554,
388,925,226,977,035,777,182,772,526,690,534,242,189,217,031,494,164,276,279,
100,400,448,470,846,825,382,291,947,554,997,893,467,654,806,243,614,428,323,
079,878,890,413,210,780,414,383,486,260,689,546,980,857,865,966,221,924,059,
409,327,214,612,254,925,842,363,635,787,056,608,923,222,202,723,140,708,687,
761,636,344,383,447,338,064,693,841,192,344,252,769,259,412,426,350,169,602,
292,623,839,619,699,061,627,637,976,450,712,674,781,665,943,174,941,564,087,
430,657,454,467,743,610,944,424,714,840,418,153,416,762,676,658,298,159,848,
661,142,652,940,942,477,038,829,594,684,678,778,841,172,376,427,477,152,584,
575,379,175,323,510,451,866,826,732,242,122,674,815,295,500,636,410,204,518,
268,107,450,256,541,358,770,241,806,370,963,962,072,931,111,633,702,672,898,
846,666,568,358,711,691,348,208,443,030,930,238,436,410,337,946,617,435,388,
282,286,411,809,257,938,941,159,148,032,126,176,242,811,259,618,464,202,982,
384,179,363,456,031,855,581,361,282,494,852,468,261,916,009,142,307,092,864,
772,362,872,505,500,147,350,925,210,248,903,940,695,152,579,950,669,617,243,
206,759,001,438,512,967,435,999,906,624,721,802,258,898,847,042,009,091,534,
581,158,130,026,337,610,942,149,026,911,624,798,338,137,512,803,669,307,335,
884,770,865,084,165,205,565,373,311,854,032,263,977,724,234,698,850,302,768,
792,800,634,329,830,749,524,397,471,667,030,183,101,791,258,067,502,235,077,
325,836,600,117,566,667,214,095,035,375,058,548,448,717,907,780,235,457,545,
616,833,069,661,294,525,814,770,021,604,682,983,255,905,187,248,501,000,945,
521,567,361,212,638,600,593,321,546,592,117,882,458,898,216,922,271,255,371,
520,622,657,442,011,975,078,182,992,948,102,781,030,203,552,281,089,317,681,
086,506,083,512,552,886,339,693,116,569,388,449,742,694,141,911,742,220,505,
931,833,063,278,888,972,376,753,383,839,515,558,565,438,972,087,542,722,217,
989,742,395,877,967,046,733,538,995,049,085,318,823,115,728,218,895,378,163,
296,927,800,672,657,574,478,715,389,003,535,049,957,319,781,658,887,839,976,
395,241,612,730,855,220,758,644,089,972,485,565,925,219,900,351,496,878,180,
351,010,926,969,390,789,693,167,159,111,864,271,307,571,780,181,511,705,740,
590,941,394,250,950,042,951,706,795,523,330,898,839,940,425,513,870,105,585,
681,425,237,032,132,262,846,973,234,542,084,945,923,666,818,447,647,946,981,
685,573,834,359,280,765,132,501,144,089,083,240,342,930,489,150,500,634,550,
697,971,206,317,722,368,888,935,460,369,186,760,487,212,357,331,780,848,330,
349,012,687,989,798,875,803,973,094,059,359,479,105,769,562,740,302,833,767,
743,715,293,099,965,363,782,833,364,417,999,636,600,313,676,190,666,866,415,
493,026,112,591,110,731,161,951,290,486,693,698,653,930,753,087,420,981,108,
910,881,934,545,733,610,718,759,657,159,242,224,765,933,333,004,819,641,860,
705,608,832,249,536,377,271,254,851,083,428,713,803,005,839,391,558,321,378,
126,997,729,109,974,167,648,210,132,762,617,909,348,444,067,330,777,242,301,
180,846,782,501,217,276,720,467,405,115,015,860,072,116,637,709,141,766,339,
840,258,699,026,631,005,253,019,620,668,661,204,714,987,102,196,345,183,273,
039,564,620,874,134,599,213,001,879,726,845,988,254,022,849,401,054,729,280,
793,637,892,532,432,637,586,760,564,310,206,424,793,793,733,852,872,598,164,
749,254,833,526,181,335,531,962,326,610,026,916,057,553,444,517,397,057,993,
133,861,894,305,991,624,254,881,025,018,969,784,512,952,598,678,616,656,188,
495,881,147,216,917,210,234,593,554,657,603,060,720,456,119,285,093,481,221,
619,379,786,526,138,592,079,008,583,914,286,136,193,217,762,243,799,900,184,
792,489,210,879,686,566,434,607,152,430,323,949,771,668,866,858,400,929,023,
001,072,423,261,241,084,002,845,581,930,500,479,450,956,351,909,853,948,782,
359,654,146,823,533,157,643,764,205,725,805,360,292,924,430,007,119,697,429,
195,014,851,150,773,056,398,319,171,220,116,123,616,617,957,158,159,919,316,
618,777,913,265,962,240,020,839,050,135,001,744,715,117,195,608,083,155,910,
115,050,019,641,447,582,918,247,034,241,846,710,543,991,103,931,379,415,860,
940,186,899,998,155,215,248,424,047,588,420,864,466,575,703,632,645,624,242,
465,678,036,456,596,764,795,920,221,026,330,867,572,043,161,618,592,508,289,
929,125,128,519,788,297,902,536,954,229,032,545,724,020,828,898,988,433,114,
558,489,382,490,980,956,698,719,789,723,291,351,462,207,633,314,762,668,212,
196,421,499,321,019,243,275,317,009,523,601,973,096,813,059,235,773,313,862,
094,787,978,590,924,852,851,060,051,248,030,106,837,738,549,826,115,478,381,
638,724,705,382,785,726,831,879,715,862,099,872,229,730,003,719,386,879,287,
470,269,386,360,739,479,826,927,831,473,563,262,897,332,590,768,142,430,682,
442,613,491,275,239,798,269,281,001,209,692,129,789,938,087,577,989,430,064,
483,427,954,991,708,725,182,180,270,655,522,503,319,618,679,533,653,747,162,
108,013,659,264,017,785,764,053,913,924,094,402,836,636,924,914,285,901,168,
664,109,621,227,755,505,972,949,177,776,645,261,108,642,398,558,426,514,936,
973,767,865,457,549,605,762,162,327,037,454,947,355,700,047,182,088,301,692,
397,217,891,752,388,203,947,774,733,750,241,996,545,828,398,202,111,624,941,
608,169,120,791,730,908,278,833,411,760,322,696,081,231,096,716,822,448,353,
593,702,950,223,143,042,130,681,214,563,606,915,176,230,809,484,446,625,685,
044,293,529,733,769,603,078,938,106,578,344,937,167,528,543,671,543,270,812,
665,719,128,346,931,568,017,483,510,168,358,479,859,692,612,963,715,022,176,
305,070,626,793,767,138,390,674,189,660,572,938,385,597,589,332,468,273,309,
338,254,690,526,389,731,975,496,516,613,843,520,133,027,284,031,716,673,665,
970,562,212,951,191,852,560,090,055,217,715,452,646,186,402,351,089,617,813,
487,711,019,518,176,995,245,616,777,543,063,597,253,804,827,606,132,481,776,
440,204,722,105,754,112,270,887,970,176,003,841,186,450,571,992,674,722,902,
269,320,572,919,276,969,297,902,405,215,931,389,287,798,180,288,228,055,209,
507,079,335,174,470,046,612,631,813,580,430,629,105,784,503,643,424,445,473,
247,363,652,872,376,599,315,595,874,075,598,050,655,159,180,623,469,095,623,
240,075,670,492,090,133,329,906,967,403,866,400,563,930,154,177,543,522,493,
873,363,814,919,620,732,049,757,942,685,591,968,648,088,524,369,854,263,465,
865,272,596,204,694,548,985,218,972,916,749,736,982,415,334,051,835,006,469,
819,978,887,074,556,388,113,026,912,086,206,788,594,916,831,152,709,090,552,
788,416,118,697,466,862,865,180,484,924,448,849,620,828,904,511,262,189,809,
720,556,922,415,063,914,523,644,340,692,828,779,609,596,108,932,409,198,933,
611,057,822,847,284,513,533,116,029,100,968,672,750,365,452,711,540,013,513,
747,923,334,896,133,723,668,126,300,351,599,198,342,057,726,868,214,815,414,
647,510,289,820,367,320,039,170,949,676,403,969,432,366,378,568,147,695,133,
469,595,999,534,222,421,162,590,461,709,519,870,502,353,146,592,894,031,519,
780,556,504,956,127,061,439,691,686,946,836,473,894,643,484,184,524,991,840,
820,099,989,580,164,332,540,539,020,534,242,531,964,610,689,879,333,426,086,
017,553,143,315,118,218,022,004,729,674,520,369,606,634,321,321,489,704,624,
532,356,977,293,394,352,720,381,890,791,170,193,273,404,599,945,188,756,357,
203,445,333,024,954,042,769,505,948,892,800,095,175,791,355,016,185,231,126,
104,549,216,936,017,343,879,696,116,697,595,767,840,471,032,756,149,804,001,
367,261,065,402,656,103,060,758,129,393,243,952,522,679,222,544,789,551,705,
061,490,240,659,607,588,802,613,317,602,526,548,703,042,166,434,101,162,715,
978,177,255,274,586,339,573,362,094,263,251,449,957,712,534,109,447,065,188,
939,724,636,533,427,513,450,229,495,951,934,869,676,561,486,806,160,527,835,
473,856,642,238,893,592,933,814,968,019,698,305,003,489,471,387,734,982,548,
379,716,915,214,761,053,471,783,367,696,336,270,443,289,822,522,567,994,871,
989,764,749,763,867,844,399,406,451,106,588,671,646,957,489,761,143,710,114,
243,994,534,656,842,721,551,097,539,770,213,099,399,196,030,029,736,607,069,
207,609,179,460,958,104,011,902,341,739,440,966,458,826,599,167,266,580,438,
370,126,602,978,840,257,014,406,058,322,944,315,744,338,502,577,607,691,487,
207,450,984,319,533,855,337,080,572,010,218,451,168,360,492,643,125,255,548,
705,991,953,888,223,986,564,119,433,479,633,516,870,377,273,214,976,334,222,
220,366,300,724,849,725,674,830,243,530,105,061,354,134,650,998,443,116,922,
695,893,782,400,236,527,212,110,437,764,191,629,556,696,465,256,920,395,169,
673,168,551,536,415,020,623,695,615,038,017,469,003,181,116,895,044,395,718,
122,827,719,467,362,921,947,043,092,357,971,045,195,926,049,062,283,235,660,
477,186,173,091,889,706,542,014,331,602,218,136,807,067,104,963,237,308,425,
964,130,073,551,762,352,411,892,313,785,151,687,034,905,633,802,163,646,211,
674,367,712,824,712,896,249,628,216,291,145,716,696,164,846,770,172,112,217,
642,932,009,256,741,392,017,779,305,620,234,754,051,873,210,994,120,442,500,
688,451,521,702,297,391,488,260,099,636,998,232,695,050,190,497,229,456,739,
626,167,921,176,114,253,069,241,461,727,297,024,965,591,154,734,252,789,825,
939,689,181,828,101,842,880,465,103,622,997,863,663,450,909,102,039,730,008,
441,111,737,580,733,020,720,845,369,578,546,246,245,834,586,719,551,318,004,
882,642,752,447,296,426,041,913,495,885,265,014,912,533,143,607,056,634,571,
850,555,513,630,058,826,632,021,585,795,707,738,899,735,990,594,599,456,944,
735,860,409,798,300,222,844,378,995,099,937,070,020,491,293,570,282,394,361,
503,682,187,062,540,309,645,436,630,350,391,246,505,036,251,886,436,214,041,
212,243,450,421,005,964,467,028,727,788,904,542,847,842,420,098,457,490,682,
096,773,402,783,781,412,287,933,584,788,925,675,076,031,082,987,966,760,719,
291,856,051,996,918,520,727,054,773,183,312,312,532,897,052,716,047,129,324,
409,533,634,696,565,592,029,165,628,672,650,650,911,183,437,702,938,151,656,
073,076,127,505,494,093,817,137,345,311,614,737,842,249,974,142,749,887,119,
263,180,459,085,866,535,789,855,865,260,768,429,823,319,461,667,415,441,653,
979,214,231,507,332,316,034,674,646,659,235,360,680,627,578,560,451,511,653,
410,305,157,902,379,651,525,612,516,645,062,072,565,631,927,677,587,733,337,
367,879,364,269,648,175,148,180,253,493,360,690,767,920,563,303,390,229,371,
563,237,353,756,561,932,382,712,006,836,280,057,637,654,053,069,974,223,783,
377,129,972,352,835,693,738,747,170,295,483,613,174,956,992,679,140,520,109,
256,877,802,234,896,086,751,252,267,573,106,076,882,024,552,198,703,753,643,
248,144,736,105,028,205,982,822,210,279,281,483,366,774,573,970,481,018,713,
675,979,232,973,070,912,701,501,430,745,310,185,585,149,972,585,356,185,632,
710,798,388,563,857,289,690,714,573,764,145,929,796,116,509,525,433,514,531,
398,301,807,553,591,445,614,395,470,683,994,558,601,056,874,403,821,701,776,
813,487,794,245,552,951,830,011,769,050,667,994,130,652,422,764,108,361,594,
046,645,972,149,530,139,503,681,237,027,864,994,310,686,269,781,887,744,205,
406,912,530,655,857,038,297,574,043,626,808,959,530,703,035,087,651,687,312,
968,045,984,879,362,822,511,610,832,392,484,942,449,825,573,565,890,754,163,
482,591,673,783,981,934,014,389,955,733,257,629,852,518,791,447,513,943,135,
387,552,843,350,141,176,984,953,776,463,392,618,581,539,578,698,902,306,985,
569,584,498,400,595,574,382,218,388,610,698,896,237,012,452,093,516,652,305,
895,312,908,824,114,096,569,232,016,618,141,767,113,728,626,026,505,651,156,
222,260,119,764,594,294,429,833,812,333,727,418,252,807,869,472,631,878,609,
772,871,648,267,010,849,935,795,153,934,729,468,152,638,383,076,766,171,037,
585,199,757,216,911,316,164,924,404,061,880,226,585,093,520,981,994,616,799,
925,488,299,783,161,848,664,671,784,598,896,298,867,847,748,406,507,793,975,
503,261,864,993,907,377,466,967,005,653,402,633,546,791,955,588,998,750,750,
912,521,734,514,788,899,982,877,547,852,420,253,314,382,924,104,835,562,664,
792,064,862,251,394,899,521,315,097,904,602,227,331,057,406,264,370,112,382,
384,737,652,025,003,985,720,377,774,561,623,844,276,403,576,899,409,711,575,
672,479,127,118,997,808,855,496,674,628,265,079,587,142,649,384,027,928,507,
330,317,724,116,304,714,347,134,014,289,653,812,124,087,549,739,979,557,765,
420,974,638,023,831,076,632,289,635,167,068,087,713,577,224,328,370,186,010,
630,636,781,691,309,129,347,638,783,498,790,852,506,498,481,163,232,139,833,
086,196,307,891,892,788,933,006,640,386,880,999,331,214,105,827,627,208,000,
696,315,534,824,728,545,845,541,367,387,380,447,113,758,493,020,584,863,600,
461,725,039,864,382,798,778,169,562,136,063,023,680,049,310,203,673,044,602,
340,955,653,687,537,101,045,196,325,202,106,214,406,099,421,658,468,982,066,
999,143,117,737,725,638,682,915,855,441,922,113,266,456,241,139,979,775,202,
533,789,149,476,470,435,608,701,138,867,936,529,764,531,744,817,447,407,507,
484,185,745,765,257,671,395,128,868,550,675,562,016,853,215,865,759,314,379,
638,352,957,426,404,065,946,715,168,719,750,426,115,593,034,279,337,991,926,
548,977,694,393,271,704,401,755,688,575,185,710,851,436,191,830,955,398,496,
401,718,110,704,092,401,705,536,478,036,331,293,556,049,435,982,569,185,756,
713,779,612,008,464,895,634,285,422,870,007,197,306,831,543,282,028,306,832,
349,741,409,519,176,588,666,401,199,471,484,407,731,529,455,665,885,833,735,
948,893,110,695,375,148,641,653,950,943,419,185,016,572,568,652,373,228,867,
590,148,560,864,660,363,144,803,640,291,803,402,189,834,881,295,331,954,872,
771,036,719,262,409,600,710,423,497,514,868,976,613,286,398,620,556,328,081,
108,431,278,768,328,897,398,834,520,574,185,254,667,897,066,172,416,175,565,
238,261,767,060,278,815,823,253,922,361,137,650,309,786,361,989,975,067,023,
620,761,928,213,350,943,935,933,612,721,201,092,331,365,680,656,066,974,698,
819,894,343,338,486,205,015,594,995,034,476,223,219,833,863,257,027,759,779,
854,548,091,630,248,213,304,078,070,695,787,326,840,788,849,930,570,344,802,
255,071,981,380,789,456,004,252,309,023,689,857,485,965,832,646,375,949,134,
528,058,017,321,765,456,126,189,282,081,927,341,615,674,089,550,347,570,112,
975,500,202,915,034,099,069,646,717,571,484,301,301,017,706,260,633,222,133,
688,961,949,241,663,643,314,315,867,215,962,091,853,355,159,861,400,705,913,
241,555,123,917,367,344,730,694,403,939,259,198,492,859,485,432,456,731,207,
162,651,286,323,732,675,630,024,659,384,033,298,512,249,493,496,848,727,228,
585,680,011,684,250,484,080,482,287,183,870,723,259,559,755,440,646,505,397,
903,641,525,573,285,822,739,568,567,641,580,010,508,202,108,626,486,074,093,
408,061,559,482,652,833,445,298,206,101,764,736,905,379,503,161,928,227,289,
067,446,677,972,516,578,143,127,122,672,001,252,724,162,263,166,690,195,721,
330,520,874,676,503,138,300,718,397,307,617,954,349,789,515,244,983,882,540,
129,365,612,328,045,218,540,926,087,327,677,012,121,504,285,512,810,879,053,
990,172,558,920,943,093,596,589,804,648,045,648,313,817,228,538,665,013,052,
045,228,604,953,256,797,036,959,689,583,907,848,491,068,340,905,567,537,047,
949,651,981,581,438,117,823,773,717,633,672,634,185,132,111,259,618,759,452,
636,570,216,090,974,159,807,317,055,862,590,727,070,658,264,724,851,099,386,
256,710,061,255,675,755,177,187,195,941,114,465,992,770,099,478,099,551,447,
271,313,557,215,312,447,846,397,005,897,987,709,631,368,660,457,514,108,093,
090,894,710,975,442,371,349,259,142,305,987,922,193,728,695,472,061,714,281,
408,532,134,552,678,652,382,207,311,726,419,255,127,791,445,445,098,748,664,
308,105,724,141,120,624,247,671,656,412,668,513,914,387,160,099,833,689,261,
281,647,918,979,763,819,281,007,546,968,732,355,667,198,797,382,930,947,084,
253,478,960,555,669,461,547,202,411,128,264,608,113,167,176,535,639,492,565,
842,543,264,160,031,160,402,329,543,878,359,906,813,700,442,155,062,017,136,
616,694,583,784,413,992,168,131,570,946,253,773,543,116,359,282,262,017,856,
265,805,425,922,647,008,844,460,445,864,734,062,268,853,209,199,303,260,841,
394,615,181,298,832,442,297,688,742,652,331,226,779,743,785,749,718,871,364,
931,592,921,567,090,320,844,223,646,423,024,547,991,090,200,385,482,549,193,
826,930,800,353,145,520,305,549,628,741,580,155,037,774,872,643,054,906,738,
570,602,540,299,676,892,825,084,327,898,540,462,862,734,554,096,395,663,881,
500,698,022,297,735,598,924,271,020,799,212,299,619,395,686,108,727,505,103,
022,329,002,475,752,388,684,485,172,727,664,126,888,487,911,683,762,800,558,
213,747,041,252,389,842,826,958,802,061,675,663,641,508,041,906,855,373,416,
823,732,157,233,926,308,638,742,540,982,424,986,189,421,325,619,629,349,718,
597,145,394,664,769,467,072,758,957,837,902,980,200,854,614,957,975,804,421,
467,029,904,702,767,815,987,848,798,435,166,656,888,456,794,141,759,824,264,
998,214,729,212,158,728,658,145,844,933,611,694,996,972,767,454,600,807,747,
779,544,829,142,371,492,806,272,408,006,531,533,513,221,281,153,350,532,411,
214,060,795,622,649,139,752,437,721,234,209,887,053,991,938,352,234,541,005,
604,366,890,399,217,300,608,131,449,957,397,532,616,854,668,835,819,065,984,
069,633,163,178,375,340,874,256,260,088,753,496,124,120,225,770,910,402,442,
232,599,655,507,803,475,764,410,190,236,090,374,677,282,749,392,876,329,677,
891,267,539,836,946,944,811,671,698,824,825,347,845,065,649,777,387,798,695,
975,439,485,198,134,069,378,203,616,126,101,149,349,829,513,067,679,029,416,
383,077,967,916,238,666,196,826,587,778,352,033,403,375,380,350,712,188,204,
582,647,579,040,495,440,827,155,506,961,524,803,608,497,331,268,681,236,205,
871,718,267,795,141,720,400,318,266,822,886,634,291,138,257,134,378,644,686,
809,136,681,796,752,307,817,778,527,234,811,363,980,734,451,373,087,734,552,
594,918,587,792,134,907,185,929,059,396,577,905,011,199,878,098,861,391,055,
036,691,149,116,205,216,458,167,320,549,543,833,884,813,386,930,313,360,462,
711,864,187,041,163,963,916,135,252,542,560,152,552,033,042,053,215,936,439,
571,386,669,758,875,999,158,558,112,252,408,733,026,435,987,201,792,665,338,
008,497,862,574,392,676,315,508,961,722,399,321,274,592,956,776,741,110,001,
823,095,054,318,133,890,047,525,246,585,717,183,294,704,301,393,237,786,042,
664,712,629,550,862,439,799,413,136,041,544,186,080,622,175,439,590,856,291,
983,416,146,468,023,311,192,330,271,172,317,208,954,530,795,971,499,465,694,
813,993,590,344,806,136,262,794,134,626,679,046,139,046,778,475,706,936,350,
003,004,078,923,495,032,265,811,566,039,778,688,977,989,914,523,304,264,246,
989,803,299,316,305,199,406,614,661,901,391,139,408,722,121,807,404,863,858,
519,435,592,095,435,756,579,925,313,675,276,440,104,365,927,245,581,846,157,
993,057,459,125,596,360,654,224,789,996,886,540,468,015,969,237,118,889,315,
404,133,635,497,710,230,113,521,896,858,475,875,609,044,037,925,467,636,669,
472,581,489,667,743,491,805,092,502,147,244,632,084,130,265,675,095,596,824,
780,668,828,398,323,110,031,553,729,389,835,453,187,360,902,860,817,976,525,
598,488,211,375,315,236,691,719,429,555,131,777,450,290,083,670,491,644,274,
653,912,705,823,697,776,870,472,958,083,550,775,684,119,401,716,638,634,685,
447,935,107,573,249,574,472,086,059,972,308,456,358,605,463,885,876,721,582,
681,534,368,584,153,648,106,362,049,008,099,289,371,002,018,653,939,351,439,
357,875,312,404,036,637,925,756,423,927,950,800,264,759,236,264,059,832,922,
746,168,662,077,623,826,312,195,655,594,829,670,481,542,344,614,886,098,955,
383,097,160,764,994,957,012,491,855,231,437,316,476,673,375,741,287,707,848,
735,893,042,468,839,948,133,544,701,676,921,075,608,859,544,403,591,162,733,
790,262,330,467,362,000,693,195,554,130,862,134,021,207,414,519,359,600,178,
070,254,204,931,805,053,691,515,825,858,765,159,376,651,419,769,590,703,555,
506,230,381,449,696,357,101,753,401,215,855,708,685,338,124,607,705,265,773,
464,386,286,167,188,264,581,771,957,302,235,716,909,102,888,681,204,953,838,
486,217,970,725,831,150,768,563,439,197,680,622,498,589,493,300,107,693,470,
456,190,273,003,964,416,400,363,227,152,959,932,087,018,819,076,355,443,937,
738,763,063,846,385,712,875,016,262,149,946,328,678,052,924,597,616,866,630,
481,021,729,446,932,430,779,253,249,586,259,059,370,606,512,228,785,312,961,
747,332,920,279,205,417,068,099,441,452,203,113,078,508,786,092,221,069,392,
431,513,561,001,723,225,761,113,714,985,768,173,354,116,427,417,415,788,166,
418,590,826,053,155,830,257,250,083,301,699,048,272,517,765,697,838,725,527,
825,439,251,002,916,552,607,525,714,311,326,742,920,750,240,906,772,994,766,
289,052,569,648,911,629,136,138,800,244,103,775,370,468,806,649,243,177,224,
723,954,425,868,523,746,035,778,639,750,661,060,862,771,101,725,517,617,924,
959,546,961,931,800,586,920,588,430,198,607,157,571,372,609,714,563,153,476,
153,795,458,727,710,999,123,470,817,270,691,774,636,635,893,222,882,747,140,
668,389,773,715,710,236,972,751,944,156,600,246,579,847,404,553,032,339,014,
318,971,491,386,333,403,279,638,219,424,579,876,443,446,680,615,814,247,645,
611,283,662,399,159,680,359,251,220,939,915,681,126,450,654,751,702,535,728,
789,855,239,552,215,414,311,493,034,296,748,342,664,413,722,625,154,789,673,
428,921,836,329,686,584,047,703,013,110,430,951,197,634,357,116,166,616,235,
342,497,708,802,289,954,611,259,743,394,339,524,953,719,845,195,911,806,378,
156,678,666,316,431,936,269,529,949,588,940,631,460,696,473,724,956,772,488,
048,398,071,772,087,756,289,942,509,456,499,210,050,343,641,752,411,814,363,
941,196,947,228,941,620,333,572,280,466,154,920,047,823,584,272,281,951,899,
159,529,244,787,306,656,593,802,113,079,556,571,693,379,316,114,498,840,386,
904,486,730,106,219,463,415,134,740,570,870,541,646,313,217,799,140,719,640,
083,609,291,782,260,978,739,024,479,913,692,252,202,191,941,795,006,532,367,
108,916,159,993,063,963,133,304,809,226,813,406,688,569,352,918,367,605,072,
032,648,633,581,188,243,186,699,075,060,746,607,246,507,718,130,531,172,459,
441,592,426,237,776,293,478,520,121,823,675,635,606,660,742,257,078,141,420,
987,673,834,654,145,346,646,433,678,113,658,870,337,321,396,043,347,585,904,
229,178,765,811,964,109,835,631,901,297,029,078,186,960,156,773,599,380,182,
832,398,457,605,633,359,158,351,119,204,413,884,565,897,214,445,841,625,365,
457,266,186,772,855,108,327,370,449,090,680,986,825,618,169,301,517,712,306,
811,291,025,328,867,712,817,809,476,580,311,544,479,918,983,424,144,659,849,
193,207,935,947,828,032,149,496,077,985,340,618,204,304,160,296,080,942,230,
765,284,038,038,708,126,616,020,624,559,865,628,942,397,177,267,352,303,020,
680,006,016,880,442,413,354,501,097,900,504,244,892,108,977,712,096,718,818,
334,029,868,033,183,254,703,838,501,078,857,391,422,106,721,955,230,363,057,
786,592,595,617,838,427,405,299,824,215,035,314,806,589,546,166,950,895,958,
803,438,424,946,655,475,924,522,149,052,341,512,219,909,875,018,555,487,877,
922,778,641,585,872,596,298,237,356,870,907,724,756,201,695,845,655,438,487,
011,669,841,757,519,968,961,276,154,436,586,649,121,626,805,629,864,102,221,
243,884,100,945,819,483,026,697,575,836,749,967,706,389,926,272,189,913,473,
353,274,276,312,717,533,957,788,022,789,025,056,976,650,164,876,245,493,542,
770,004,325,043,270,078,245,820,374,109,536,049,397,443,322,918,222,206,333,
076,279,651,170,192,869,826,417,696,532,637,687,001,164,042,448,197,728,340,
416,308,153,901,799,896,557,459,142,078,712,261,873,626,433,962,276,565,917,
631,239,966,741,713,030,120,274,663,812,161,710,781,568,180,779,666,347,899,
722,034,860,757,000,015,542,124,041,386,912,102,136,904,313,649,671,196,944,
576,342,614,209,499,348,561,548,426,391,342,073,472,417,532,555,058,105,418,
915,634,036,848,352,360,579,518,012,583,832,191,035,192,460,559,297,354,303,
629,892,780,226,412,297,564,442,812,688,908,473,129,123,784,868,352,017,987,
712,995,401,214,495,140,197,173,850,879,625,140,679,843,789,597,271,379,571,
348,516,636,151,286,893,477,845,904,500,806,393,451,892,941,197,708,048,604,
949,251,583,670,239,041,992,217,871,198,508,963,182,729,992,554,899,696,086,
445,504,032,318,245,248,569,326,685,651,745,359,256,109,955,747,629,831,865,
679,482,365,176,240,775,578,053,624,906,286,514,553,734,279,629,529,003,479,
744,700,859,126,981,916,699,641,200,806,412,262,503,397,917,751,072,725,173,
419,637,091,904,225,452,073,242,597,347,590,544,174,504,454,832,444,738,905,
124,664,248,133,293,154,424,591,019,075,614,843,930,332,735,689,032,368,733,
506,736,232,548,684,799,479,668,592,066,407,410,976,747,769,425,305,297,669,
581,831,389,435,977,938,897,316,359,077,352,646,459,550,159,186,821,347,092,
565,953,651,201,427,110,508,132,790,392,300,910,654,130,294,862,327,591,747,
135,797,539,502,036,430,699,348,037,562,977,703,567,641,878,811,784,424,236,
295,301,290,286,837,104,112,512,761,717,422,668,441,118,800,218,596,381,693,
090,857,308,021,996,038,508,119,139,945,877,158,954,307,786,022,664,749,106,
656,747,571,200,674,534,635,595,733,505,608,132,399,225,945,255,124,050,408,
730,868,979,182,939,157,422,957,583,680,468,995,831,673,827,709,184,697,477,
170,125,756,764,549,961,902,238,168,237,483,683,332,258,479,459,602,095,558,
494,996,835,871,177,419,211,716,772,481,477,692,486,005,876,691,642,347,227,
329,696,409,641,279,883,821,877,456,628,689,940,493,048,618,183,494,374,028,
879,183,230,371,338,220,172,154,248,116,008,983,860,283,068,945,329,455,697,
340,647,068,818,612,731,947,214,895,714,532,681,578,706,220,553,138,133,909,
547,375,868,683,977,293,705,735,803,937,115,671,016,165,929,829,211,524,910,
572,385,564,808,848,681,527,440,072,167,578,301,420,436,490,351,515,088,440,
328,655,265,145,874,781,253,046,480,539,303,265,322,891,348,442,659,336,705,
551,862,701,943,823,416,124,889,983,261,960,481,057,307,497,364,576,895,698,
451,827,413,053,700,427,231,580,002,774,102,301,455,094,144,368,443,489,815,
615,025,418,455,919,429,952,973,647,732,987,003,563,945,280,353,186,081,735,
917,953,536,303,576,384,712,250,633,978,257,325,839,864,410,971,996,883,475,
377,073,801,757,966,127,235,931,543,266,978,254,198,671,352,677,116,440,519,
585,694,704,823,812,862,968,190,662,442,290,741,357,441,943,831,327,298,794,
676,848,617,115,170,785,574,524,795,416,088,393,636,157,189,654,853,540,852,
377,255,305,528,531,731,348,230,787,858,431,074,196,461,078,610,715,455,474,
017,390,951,181,858,882,686,655,396,790,591,369,445,011,308,310,401,670,393,
062,030,034,908,540,371,417,549,514,250,774,484,360,133,044,901,699,541,158,
200,381,722,876,768,984,090,594,753,810,261,618,994,082,310,406,102,524,127,
274,608,187,798,699,372,304,120,438,571,665,539,084,288,652,058,697,333,941,
131,401,416,239,941,072,044,188,928,844,953,172,676,646,668,086,445,598,097,
662,630,167,264,119,340,250,504,931,603,230,570,164,947,809,134,631,248,037,
093,014,116,819,370,231,604,718,421,015,524,339,480,978,840,821,903,925,949,
353,167,736,978,988,329,724,127,727,475,686,066,181,665,215,538,509,820,081,
790,013,819,467,301,027,748,881,690,202,611,182,999,638,986,816,385,100,422,
256,300,793,713,034,942,879,627,708,637,439,814,124,099,568,194,790,536,384,
149,794,793,911,522,843,150,698,355,107,517,554,155,854,082,332,274,058,076,
885,852,253,458,035,473,411,420,685,196,210,818,266,399,278,615,656,155,015,
136,649,206,205,867,878,295,384,330,909,881,826,449,826,523,922,524,572,591,
781,563,055,147,353,255,042,060,377,398,615,981,147,048,969,790,711,286,739,
952,653,069,736,887,169,167,905,085,030,567,403,796,482,452,356,949,222,814,
678,271,012,326,272,432,618,833,152,084,396,145,895,024,378,031,634,622,089,
923,694,876,503,306,436,797,117,618,540,349,393,082,869,141,994,358,115,653,
663,526,977,416,343,748,133,715,558,076,584,405,799,707,604,498,398,713,123,
884,376,943,374,292,761,756,846,415,307,055,353,353,378,422,642,574,444,600,
606,039,491,428,043,034,783,474,248,160,065,340,404,657,673,112,550,944,568,
006,442,682,916,119,409,698,213,606,559,716,103,463,776,810,155,758,835,889,
129,437,073,134,946,674,327,847,411,985,439,492,578,186,798,617,498,352,355,
156,255,518,008,251,251,890,691,592,868,519,214,429,199,662,247,428,876,952,
437,587,312,013,681,021,008,725,878,834,400,111,227,196,694,366,255,108,227,
451,737,652,022,698,553,469,615,870,818,737,010,158,449,394,331,899,512,120,
469,685,581,965,842,954,643,201,119,942,428,458,484,101,446,019,392,739,399,
155,397,459,033,762,564,965,615,763,825,410,931,672,914,481,761,472,329,275,
796,250,174,652,137,962,451,974,262,628,118,414,808,290,493,075,684,473,562,
770,650,920,948,104,490,055,633,844,392,058,972,003,584,831,214,405,280,529,
078,268,256,781,038,641,629,308,431,369,962,686,492,964,343,203,202,451,315,
647,734,611,046,786,406,113,651,328,895,978,569,209,867,708,714,011,587,600,
499,009,360,181,603,510,254,668,037,492,276,277,698,487,141,942,409,802,173,
530,121,422,675,522,011,791,036,132,879,410,241,592,855,718,145,386,419,969,
308,087,983,866,732,595,237,211,643,822,380,455,142,692,116,999,603,503,627,
267,019,257,980,793,685,881,822,341,478,701,427,053,215,734,132,636,081,397,
236,255,614,478,882,007,399,060,022,879,190,867,050,442,036,080,718,062,092,
481,105,091,667,306,427,662,820,227,823,265,656,496,276,157,978,151,641,667,
020,579,329,524,394,135,564,886,192,962,668,554,979,077,512,789,346,011,066,
912,839,628,125,061,494,469,186,275,005,311,370,707,876,897,350,509,261,917,
795,224,094,667,408,035,250,750,496,831,332,420,896,131,858,693,457,486,145,
203,566,211,111,208,057,505,923,753,420,673,630,527,865,913,180,278,764,577,
948,678,349,954,770,240,589,162,462,473,885,629,425,256,062,304,273,843,067,
473,952,583,029,686,433,005,941,299,618,341,037,194,978,022,448,338,841,529,
331,888,327,319,380,120,036,447,645,739,809,144,537,632,116,966,464,758,728,
223,543,916,522,600,778,554,939,263,966,205,837,398,752,955,530,349,715,136,
210,288,088,489,157,824,960,467,230,049,241,219,619,386,519,968,573,631,726,
498,218,615,992,877,732,714,633,787,927,241,612,573,482,030,969,389,535,422,
554,300,537,829,813,980,421,422,111,813,185,983,259,800,468,514,603,598,363,
770,644,366,703,333,496,698,781,491,831,885,139,728,125,401,481,866,568,983,
463,548,978,041,339,701,841,215,338,075,756,340,960,595,793,996,165,517,752,
519,215,941,736,047,281,100,332,963,837,557,434,491,043,133,839,229,724,543,
342,376,586,782,682,127,641,376,670,929,525,498,956,378,443,627,238,956,190,
348,364,235,806,426,738,047,953,293,467,332,813,030,545,308,926,646,071,967,
068,068,990,632,064,172,620,183,853,376,138,729,665,170,917,061,823,149,828,
462,431,109,887,958,460,065,304,889,426,778,133,415,641,011,371,453,997,028,
759,910,038,714,251,968,481,147,663,484,969,812,482,227,368,163,144,574,171,
487,183,960,791,427,787,905,925,861,173,123,080,552,451,553,253,425,453,166,
962,584,143,868,633,437,295,711,419,178,136,731,912,967,579,476,696,096,890,
209,991,455,731,576,912,780,665,155,987,731,842,808,527,518,264,743,872,096,
262,308,369,404,284,018,444,808,275,323,161,119,576,127,345,724,751,113,514,
499,402,114,873,939,767,166,007,037,276,289,534,878,281,629,477,328,352,240,
381,612,367,152,083,360,047,936,160,409,289,918,095,030,494,373,745,139,836,
432,481,907,626,641,925,339,554,617,458,630,555,479,179,792,288,541,400,760,
502,128,345,624,716,701,794,255,966,398,644,547,498,713,092,280,645,619,429,
127,034,653,015,433,080,598,120,520,272,564,271,657,191,637,670,788,522,843,
150,975,926,782,123,081,930,278,026,986,756,581,729,262,021,503,010,568,993,
689,198,765,487,588,777,755,249,152,587,287,424,126,167,791,931,168,795,259,
308,257,312,835,490,361,024,902,032,205,441,881,506,048,129,818,899,288,789,
223,948,204,785,771,314,273,333,684,739,306,246,895,924,027,226,377,355,823,
040,626,974,445,896,301,650,124,270,505,737,033,121,189,119,239,188,547,041,
081,578,434,025,501,050,223,243,296,815,131,470,306,412,077,495,694,453,243,
501,187,543,739,194,320,094,511,601,170,957,644,926,929,208,122,555,012,049,
455,477,831,072,898,532,722,196,764,849,192,881,052,679,742,772,874,159,675,
723,330,844,017,869,291,529,640,948,773,244,060,298,339,921,173,649,349,992,
547,528,158,266,427,600,910,264,263,906,950,142,409,275,232,096,565,546,917,
648,524,453,864,658,867,677,989,719,396,492,354,765,343,799,386,286,585,065,
806,456,615,446,729,018,938,674,349,440,102,146,208,965,146,816,167,014,371,
430,241,503,012,446,621,523,011,555,353,725,059,786,448,641,036,050,863,060,
595,756,618,439,096,631,585,701,823,158,441,654,314,520,699,370,353,382,135,
243,596,255,707,058,895,910,774,139,775,725,040,137,781,831,490,537,828,726,
420,950,717,784,902,337,769,305,425,780,326,098,642,152,682,899,519,748,113,
259,820,993,003,128,259,362,837,682,315,752,922,354,954,478,753,016,505,930,
342,024,109,913,936,098,233,834,860,850,374,248,089,340,718,934,953,551,148,
929,603,445,015,507,625,858,150,629,345,862,038,662,078,158,880,449,931,031,
517,044,501,819,388,267,077,776,191,027,370,978,931,359,483,347,531,597,971,
648,623,874,369,627,569,681,498,797,787,385,095,219,566,558,152,830,647,699,
399,022,129,134,903,125,951,421,060,310,879,276,528,713,280,998,377,059,088,
804,784,517,509,675,445,544,426,422,822,883,433,369,988,035,936,544,612,347,
555,749,763,284,050,476,059,085,929,035,355,791,244,812,287,055,147,021,709,
645,204,842,715,769,904,835,655,760,595,623,647,478,792,660,524,505,343,835,
289,400,328,520,811,450,896,407,671,635,746,019,844,739,506,831,435,469,363,
008,998,492,704,770,754,676,883,624,682,991,089,940,014,851,083,699,984,822,
100,377,797,745,824,470,136,420,685,936,246,716,454,037,096,984,707,914,602,
703,096,560,665,836,132,426,375,965,071,852,899,849,073,804,554,286,830,630,
078,396,121,326,938,812,646,470,905,484,164,604,502,189,447,145,809,236,193,
215,299,047,404,853,285,837,642,192,590,416,413,163,671,555,082,509,835,639,
496,289,577,714,523,264,175,204,281,745,885,391,775,640,256,729,202,834,087,
432,637,275,420,525,205,356,263,983,122,574,422,534,316,893,113,551,839,818,
013,218,304,017,441,062,880,606,016,066,670,192,227,547,262,966,989,339,355,
343,703,916,432,088,843,294,773,901,466,618,593,064,012,621,002,946,208,796,
412,790,512,739,651,658,157,195,569,187,705,154,627,079,099,866,155,412,814,
480,594,511,852,070,419,777,966,062,877,016,096,635,617,013,661,842,652,436,
345,459,014,265,105,852,265,327,092,943,224,024,682,820,359,484,648,513,124,
937,017,312,093,516,575,984,123,957,904,476,903,048,283,997,775,929,309,546,
317,425,187,751,615,599,973,762,102,496,461,112,353,244,578,031,608,631,142,
869,964,231,983,731,985,520,325,178,670,939,738,523,585,315,466,579,980,508,
238,385,740,709,061,772,522,919,283,584,937,096,340,337,300,808,156,187,550,
644,384,663,346,448,602,087,538,097,333,738,980,626,323,759,292,902,624,926,
188,182,217,106,836,445,704,307,870,489,659,394,237,061,951,242,958,954,372,
863,606,996,982,036,390,236,154,828,722,430,005,493,926,819,251,203,533,374,
242,913,144,247,271,586,794,483,936,427,053,080,840,603,280,871,169,426,069,
142,827,207,476,780,236,421,112,835,470,370,637,600,984,283,665,339,376,246,
584,421,319,868,821,015,051,995,427,583,055,751,730,653,739,173,690,786,844,
107,338,342,976,886,109,488,050,885,721,177,637,255,634,271,964,573,950,494,
166,558,494,979,222,776,135,833,521,687,448,689,482,745,259,734,863,372,525,
107,185,651,523,120,574,160,479,860,625,123,492,062,809,961,143,908,893,201,
833,597,418,809,981,893,244,104,604,394,054,418,171,425,716,376,971,841,300,
855,500,708,219,288,779,852,585,889,914,622,143,617,008,416,505,324,322,960,
237,844,121,031,770,905,087,419,185,631,605,149,683,401,271,543,699,123,689,
451,359,678,559,279,976,888,178,382,301,696,983,211,758,217,719,494,740,453,
501,105,868,256,013,175,213,784,197,850,241,310,056,559,842,227,374,470,966,
839,509,943,290,001,135,691,300,345,668,433,134,054,802,226,628,860,881,168,
346,291,475,728,555,797,005,757,805,162,056,549,887,721,232,434,967,442,008,
610,272,015,536,122,115,053,811,929,256,995,809,762,028,213,992,690,216,141,
929,375,711,367,690,256,036,430,677,480,313,193,624,270,969,330,660,190,611,
043,934,255,958,009,457,836,158,879,826,235,256,191,090,115,856,810,949,009,
346,145,586,748,167,751,544,907,363,898,854,953,183,356,850,445,778,171,726,
160,735,915,314,426,959,478,060,224,226,464,832,095,953,001,079,968,127,366,
837,731,034,921,985,077,345,043,539,426,770,759,583,330,784,378,138,751,801,
801,269,812,785,234,191,801,385,190,528,314,072,770,232,588,305,647,371,257,
079,327,180,291,928,501,950,341,337,631,636,357,619,156,730,551,218,413,362,
118,297,601,079,585,215,072,405,503,009,423,473,668,613,276,301,375,908,060,
417,475,152,634,460,609,247,562,209,343,598,292,377,125,946,690,205,774,215,
398,741,711,789,750,783,307,267,577,414,060,229,690,211,346,068,163,660,326,
283,930,089,159,593,039,207,779,273,408,928,028,307,997,788,740,307,681,201,
965,802,882,871,676,914,307,501,710,447,193,430,451,298,978,387,888,020,864,
939,486,576,391,381,160,981,229,859,210,839,590,484,292,276,756,027,569,391,
271,575,007,160,207,114,187,192,164,169,441,903,498,496,901,075,021,533,505,
207,466,679,030,960,824,594,669,831,348,261,180,306,815,934,338,806,341,330,
676,987,932,379,425,012,291,115,006,423,788,800,083,806,390,485,833,281,939,
504,194,374,313,378,594,093,704,758,406,920,642,121,099,162,003,728,224,843,
985,382,552,766,995,380,618,327,527,533,038,041,623,098,771,195,329,955,579,
008,228,129,624,129,540,730,308,121,964,858,479,515,599,276,567,777,778,060,
324,213,008,366,190,198,731,589,127,394,220,544,144,694,686,019,677,200,578,
365,776,018,566,961,287,321,560,375,871,961,417,999,722,123,019,209,592,316,
005,099,315,843,151,929,664,160,946,412,621,958,239,408,718,933,014,005,608,
828,192,113,787,846,444,767,996,672,982,925,172,686,134,486,839,651,253,038,
479,639,755,400,402,834,026,278,480,836,520,410,341,437,830,372,883,133,031,
352,154,749,286,951,656,989,449,026,670,599,710,071,835,517,009,420,692,921,
691,277,146,333,578,737,966,632,765,143,457,565,882,523,062,141,172,289,507,
903,251,274,056,164,040,421,693,102,373,554,521,963,352,657,265,737,218,717,
616,618,075,318,629,570,743,256,453,242,721,144,286,915,312,138,854,251,695,
388,857,356,020,302,625,539,955,944,297,914,928,893,059,902,919,061,765,962,
450,523,637,921,073,444,874,424,603,228,300,648,504,468,034,127,104,315,118,
697,352,742,843,060,706,131,590,817,580,420,519,584,129,136,826,971,607,629,
190,797,132,487,617,183,380,047,271,152,412,964,639,268,695,025,313,012,637,
365,505,905,308,238,151,792,264,362,516,241,437,506,874,063,357,712,569,075,
996,203,523,827,818,159,567,814,381,291,163,768,195,263,057,035,966,010,715,
080,584,548,108,519,158,051,705,249,502,840,385,024,109,746,659,772,932,700,
121,685,976,420,725,280,598,939,638,648,657,593,106,694,489,975,230,927,034,
666,797,773,757,555,194,649,777,875,494,533,900,094,459,729,992,436,552,728,
644,074,134,456,389,987,598,414,883,342,840,275,328,906,602,680,878,493,418,
075,737,659,850,536,704,850,297,497,235,800,895,725,610,443,139,814,633,489,
563,740,132,896,291,175,171,833,039,522,624,271,093,610,081,313,382,642,234,
753,773,668,216,310,823,245,156,855,612,021,692,368,491,451,278,307,514,223,
458,786,610,286,824,960,080,999,690,867,911,604,633,583,279,230,559,941,380,
010,754,690,773,948,044,833,745,567,516,267,682,995,191,405,215,561,373,164,
684,141,235,518,432,593,038,715,199,422,904,598,996,303,498,101,815,006,515,
122,868,662,607,050,534,559,933,234,524,459,549,665,186,241,377,026,735,937,
809,484,517,846,192,727,444,453,167,944,978,087,163,055,375,233,547,019,314,
663,019,024,167,246,407,877,009,058,049,973,067,850,529,830,507,092,962,702,
683,988,879,084,395,593,000,065,238,424,999,628,189,233,732,442,094,669,068,
151,470,776,576,602,417,745,081,122,889,493,200,328,533,204,037,903,419,711,
586,064,657,278,010,221,844,622,710,883,622,423,014,492,443,359,331,292,470,
495,736,843,317,533,633,661,666,709,389,730,592,814,331,303,854,321,054,380,
767,007,338,140,087,602,468,850,298,843,394,354,577,100,813,800,609,458,247,
227,283,470,746,428,738,977,442,840,455,712,316,289,408,689,199,385,111,982,
776,165,953,135,457,524,669,893,843,974,633,598,180,646,908,710,872,232,830,
042,173,177,007,304,435,066,018,289,572,147,222,579,334,332,732,931,816,955,
954,698,841,219,565,744,622,592,086,277,103,835,889,969,980,137,824,445,881,
676,881,672,166,962,718,090,465,233,934,239,243,574,479,265,350,118,187,478,
117,483,623,436,922,937,911,400,144,706,815,706,743,143,684,624,342,107,832,
123,487,779,124,805,487,975,161,058,364,114,396,640,143,370,161,247,039,882,
419,058,376,644,502,886,846,222,681,791,353,096,825,974,098,923,134,572,407,
316,481,454,027,634,186,506,656,436,553,858,245,863,701,907,114,123,791,183,
312,441,978,022,973,488,722,924,752,724,752,713,476,943,838,809,276,245,980,
672,546,821,763,009,265,346,606,600,515,978,982,767,919,084,864,898,907,781,
875,697,389,303,939,161,495,523,889,977,521,209,395,390,808,126,294,322,103,
013,153,296,593,672,531,193,077,808,876,927,138,952,743,983,410,422,735,389,
968,159,814,573,948,983,745,715,302,273,233,417,069,992,880,993,794,731,339,
026,223,271,575,722,175,838,040,236,893,112,973,574,658,826,267,909,214,438,
098,737,089,547,096,992,600,772,172,152,453,862,206,863,421,307,376,794,424,
611,945,510,305,816,814,827,748,289,600,092,740,066,540,825,896,702,495,343,
797,552,133,203,756,582,820,351,770,454,545,904,519,019,666,047,982,257,230,
415,296,392,150,859,426,010,821,077,594,639,136,036,853,856,123,420,525,716,
831,735,329,483,918,894,491,978,085,662,790,290,287,148,478,273,153,290,240,
762,540,761,301,858,190,078,032,526,371,039,430,257,849,959,600,535,743,161,
385,413,743,535,487,280,560,301,517,257,995,092,095,161,715,413,753,511,895,
123,348,662,389,294,972,388,792,759,943,033,627,793,126,618,384,580,411,028,
348,049,483,600,179,403,622,477,364,647,053,205,115,146,276,775,665,733,173,
326,151,024,397,485,805,612,761,087,983,863,002,545,711,075,086,477,540,818,
865,200,280,446,563,124,547,796,372,305,872,227,560,450,183,177,953,460,110,
252,673,758,697,200,541,607,974,994,897,052,011,555,441,079,752,342,883,622,
443,690,980,789,698,927,615,374,926,120,503,296,533,680,473,006,667,462,938,
016,727,007,146,738,769,542,319,309,680,035,320,683,471,864,297,573,292,332,
163,607,937,340,836,432,888,516,438,541,085,665,303,843,756,650,964,696,235,
535,105,846,553,262,241,399,276,757,305,578,547,107,696,826,623,476,784,312,
141,173,501,293,904,344,600,366,849,878,280,481,925,799,876,268,284,690,537,
318,769,397,530,356,908,354,444,768,309,992,324,532,538,634,887,920,140,802,
570,226,306,997,621,128,259,459,354,950,251,471,601,202,898,060,757,505,854,
512,480,200,120,989,024,890,702,931,628,395,931,973,848,218,136,877,005,340,
988,518,631,375,595,654,218,869,740,694,403,000,947,776,086,479,814,181,052,
158,290,186,787,838,868,683,886,782,254,185,590,395,775,517,370,318,387,908,
050,225,642,492,225,599,977,537,291,640,835,188,354,849,844,834,979,673,428,
191,079,947,126,709,323,694,293,743,914,133,772,548,020,773,611,028,635,997,
154,353,859,114,900,645,603,926,346,869,169,714,023,548,642,015,016,380,636,
272,788,345,692,085,988,066,596,104,036,739,699,209,884,519,756,644,184,231,
998,116,036,355,766,541,447,872,640,654,848,150,360,763,661,164,810,834,251,
421,451,847,714,983,284,568,255,330,220,781,339,233,890,817,039,667,497,955,
588,676,101,670,412,867,435,925,078,833,688,333,608,829,034,396,884,549,357,
343,929,768,311,851,322,824,886,316,938,545,346,802,810,062,265,845,759,905,
653,523,048,026,661,524,772,463,152,893,561,619,054,483,374,233,228,783,968,
352,203,850,646,047,184,187,593,487,252,859,900,044,478,153,086,566,239,237,
138,578,232,401,254,884,390,292,243,766,447,044,059,794,462,651,152,917,841,
281,060,832,210,844,333,820,733,201,184,516,069,977,292,766,768,115,240,186,
619,999,361,902,405,783,657,835,548,949,013,550,046,859,829,462,757,958,177,
538,759,130,876,193,466,334,063,985,281,819,323,587,800,418,258,192,737,956,
922,088,444,917,379,027,702,627,315,931,201,352,816,367,040,955,671,169,125,
606,276,721,406,740,581,669,842,871,358,685,255,917,670,942,097,066,649,357,
810,855,072,829,660,868,478,341,094,379,470,578,326,295,758,834,411,427,385,
882,569,435,702,462,619,399,616,743,317,032,498,518,299,930,517,538,840,801,
456,873,210,599,357,301,353,014,232,483,417,062,961,415,185,064,207,469,210,
115,385,655,458,958,700,422,906,213,686,850,132,431,987,968,242,346,467,577,
160,082,179,570,326,000,614,528,997,396,970,425,335,936,883,540,842,853,364,
296,358,613,443,677,706,911,576,747,687,586,967,869,017,531,487,355,709,088,
244,819,745,392,436,246,069,297,007,587,676,502,619,365,401,399,769,003,562,
635,599,639,418,066,107,611,171,468,009,556,824,457,079,108,687,437,244,126,
196,552,647,816,402,195,447,899,652,047,749,918,081,292,676,655,674,664,536,
462,394,737,750,298,278,141,656,518,132,056,398,005,099,073,555,071,033,082,
564,220,111,672,882,535,837,215,265,351,429,765,985,172,667,417,665,173,912,
838,414,748,592,195,042,744,182,842,175,581,375,053,441,823,580,046,176,710,
978,703,296,100,144,994,673,635,714,848,306,735,869,370,477,910,487,847,228,
425,419,368,052,966,619,687,995,031,702,107,175,825,602,027,603,613,452,767,
167,234,964,953,694,270,291,869,200,382,038,194,065,843,053,320,635,824,166,
148,385,643,305,807,124,070,020,612,705,935,559,403,867,726,078,148,418,031,
064,383,143,254,772,593,325,019,256,402,522,627,438,279,706,960,962,299,145,
215,478,266,069,936,989,124,610,093,076,041,101,764,383,065,792,832,376,354,
021,165,693,386,646,195,070,991,209,541,651,563,993,541,534,733,619,916,795,
276,042,341,844,326,204,446,669,783,317,588,798,053,790,185,637,902,022,076,
625,816,474,002,737,114,971,245,991,794,792,952,019,351,760,346,867,143,627,
385,502,093,685,626,754,209,471,417,229,963,988,344,327,449,726,237,450,896,
174,219,211,788,982,230,320,673,044,114,817,074,563,074,119,466,483,836,566,
744,707,271,328,263,428,622,975,156,013,316,663,198,753,286,041,632,270,801,
715,110,399,856,136,951,364,353,183,000,323,261,887,471,671,450,782,565,273,
139,863,014,194,860,741,717,884,595,574,146,951,351,560,357,306,310,768,643,
014,361,750,964,751,589,793,259,842,720,907,080,261,547,503,622,166,379,272,
520,040,012,183,351,496,565,731,843,821,099,187,460,131,672,175,156,970,391,
758,647,457,338,572,539,492,089,626,368,090,171,524,941,793,314,871,786,238,
489,378,709,356,340,987,394,985,793,363,385,923,144,043,927,313,821,996,433,
329,102,525,173,903,892,583,732,267,903,132,412,917,957,051,449,399,394,340,
625,564,588,495,617,921,553,219,077,912,803,182,698,133,960,682,535,584,810,
253,031,366,958,664,876,134,810,394,697,116,661,024,685,054,692,498,808,850,
058,539,071,189,272,628,673,762,137,902,141,652,223,973,283,141,076,346,144,
348,999,562,870,100,947,306,273,410,164,474,405,054,206,496,994,092,634,093,
868,614,513,667,528,185,040,680,796,091,849,379,715,406,058,518,491,409,995,
075,592,266,136,942,658,748,960,083,865,630,925,523,940,886,815,661,979,300,
066,316,286,760,462,153,731,836,244,687,903,146,228,383,325,175,141,006,630,
550,718,652,007,877,621,605,589,499,902,656,265,920,078,329,907,479,100,041,
570,742,773,090,641,521,128,684,368,780,364,807,118,114,374,390,316,152,905,
273,873,498,602,715,054,413,166,292,239,947,144,966,448,371,533,144,166,037,
743,502,125,376,228,510,584,647,269,213,633,833,983,991,665,124,214,334,695,
924,918,490,369,504,907,414,424,200,250,225,606,159,569,614,636,812,964,036,
726,505,447,137,228,341,105,850,786,547,277,992,387,131,047,837,301,903,903,
525,010,229,284,567,058,557,696,244,773,010,418,806,951,359,277,838,277,089,
778,634,713,861,596,997,703,877,649,481,966,118,275,563,798,061,052,290,215,
967,234,946,257,353,718,061,852,682,523,131,106,600,178,151,057,714,339,454,
710,167,241,821,951,357,661,968,000,552,734,379,734,830,999,285,948,670,244,
163,285,133,093,895,372,574,753,238,085,976,348,075,334,311,574,732,939,404,
405,194,854,412,474,005,452,732,670,397,829,369,326,974,912,583,533,811,210,
419,096,884,828,816,549,892,487,503,096,727,623,944,188,227,988,343,629,701,
491,809,877,523,458,827,955,255,174,864,606,929,444,148,344,038,251,350,460,
224,701,482,376,810,414,371,109,339,486,386,243,100,303,480,610,947,426,344,
565,007,366,240,534,846,570,830,542,415,956,279,790,738,123,170,918,855,645,
815,484,100,994,328,340,165,759,617,024,490,253,021,863,082,699,619,969,487,
511,667,990,213,876,446,556,416,316,932,926,274,924,928,613,719,430,020,500,
152,826,148,430,258,124,713,721,325,811,869,706,815,549,529,483,645,462,524,
961,252,425,800,480,504,742,117,129,022,436,892,803,430,160,340,270,794,563,
794,678,840,681,287,537,799,659,387,687,446,154,934,574,102,793,527,406,849,
843,536,742,859,932,521,160,691,641,156,181,096,838,466,425,270,415,218,074,
839,643,429,529,566,169,806,669,913,347,726,386,495,127,648,356,153,821,647,
877,794,185,940,828,227,096,361,207,536,771,811,858,406,871,377,529,156,687,
614,565,924,435,339,066,484,271,677,601,858,525,314,635,296,645,320,245,486,
559,228,740,097,022,834,153,321,348,731,020,372,054,136,071,350,265,402,647,
726,523,597,608,087,342,238,711,641,024,231,786,763,272,709,600,836,094,666,
712,947,729,238,545,368,955,589,877,528,003,053,505,211,953,408,337,007,290,
289,931,376,486,690,983,266,389,045,312,363,978,856,503,042,483,170,572,253,
044,229,616,802,745,572,976,361,720,011,808,776,838,690,183,227,228,892,781,
570,047,703,770,761,511,595,668,105,652,029,107,119,930,876,932,270,286,703,
536,738,685,119,546,119,920,827,396,495,367,705,219,154,962,208,816,657,583,
724,726,793,615,339,288,536,069,578,611,663,762,599,667,755,147,176,425,591,
005,405,550,067,189,995,760,302,367,047,396,387,462,527,322,229,425,788,473,
472,710,432,313,437,662,638,165,231,459,120,939,276,529,255,370,016,133,782,
732,802,911,911,993,748,692,632,558,800,005,742,064,457,712,253,950,329,083,
674,533,602,674,535,545,294,076,183,595,145,634,638,273,393,212,868,442,228,
535,663,532,475,400,802,064,180,445,896,610,660,444,790,823,129,310,359,712,
180,979,533,161,878,005,168,263,527,387,996,704,395,379,646,089,519,429,525,
986,199,118,005,789,496,761,166,100,874,792,464,508,922,689,230,652,466,048,
463,975,827,849,696,011,518,292,544,070,706,136,307,122,030,661,149,074,162,
862,604,170,488,625,227,551,312,110,569,976,138,985,436,698,582,686,047,115,
717,616,866,336,817,731,751,399,797,220,646,156,113,765,404,000,110,346,000,
876,515,426,248,437,092,279,710,909,413,064,755,958,063,756,595,213,246,087,
206,727,954,128,351,033,201,904,469,217,994,493,294,902,371,446,251,690,746,
669,362,373,062,756,058,633,593,558,860,748,148,804,700,113,001,170,099,545,
082,066,832,893,141,627,033,684,194,706,382,930,209,838,397,736,181,861,258,
203,506,419,164,414,647,429,218,328,277,642,213,226,761,006,678,213,393,207,
856,541,631,404,697,904,429,908,427,205,462,172,075,646,229,379,379,287,979,
914,389,883,844,027,723,680,316,036,196,514,098,224,755,315,385,717,104,146,
728,296,700,631,288,351,942,493,397,919,141,438,112,948,741,644,499,333,207,
308,598,602,516,609,468,929,175,372,514,480,919,556,075,910,961,080,558,769,
612,352,748,091,634,470,730,363,249,645,223,703,485,042,523,218,359,107,810,
008,088,999,279,147,967,671,216,912,718,668,453,987,455,731,749,785,018,154,
805,129,371,465,283,129,195,335,797,093,478,681,586,870,579,186,030,232,713,
948,081,981,407,923,645,912,288,817,396,179,417,824,825,801,278,394,174,636,
355,949,570,635,197,235,601,086,988,085,179,163,381,360,914,865,150,807,804,
392,381,368,086,697,543,021,813,940,366,275,612,543,680,068,682,820,582,017,
829,424,969,300,997,894,848,913,523,801,360,639,922,453,018,225,292,399,199,
515,543,228,681,319,919,909,327,971,451,168,369,372,164,657,293,987,075,505,
707,178,945,527,259,464,123,998,679,923,524,490,547,626,447,786,633,424,939,
335,535,039,400,441,781,556,317,675,306,468,222,922,237,702,787,289,444,195,
104,805,343,710,832,172,293,175,502,017,556,497,079,097,432,034,912,327,236,
536,607,994,049,092,703,175,403,294,703,737,772,433,971,070,928,926,697,414,
877,309,160,523,501,895,018,651,987,217,268,758,050,564,455,663,433,220,027,
692,080,375,258,111,767,792,730,675,692,122,924,983,083,572,241,887,693,654,
328,642,504,983,862,114,098,350,064,561,312,442,930,520,351,607,866,404,085,
334,660,973,666,684,696,742,695,197,078,766,625,010,601,986,479,428,229,486,
091,170,622,169,959,429,295,786,876,357,174,911,265,485,736,698,016,303,404,
335,692,082,027,064,885,707,988,524,804,392,124,338,281,281,253,164,802,470,
485,110,633,858,356,952,363,790,116,856,386,828,205,230,960,720,800,232,434,
621,253,931,770,912,646,921,477,728,277,993,130,567,913,003,614,202,715,194,
470,087,864,752,855,665,190,179,514,639,701,880,958,161,486,201,984,329,003,
814,458,093,734,208,201,713,018,974,578,289,660,632,256,120,817,421,788,621,
539,074,009,895,011,517,171,762,478,754,069,077,011,814,473,961,024,864,805,
817,761,878,019,318,770,614,645,824,092,125,361,284,445,608,363,299,056,282,
154,253,650,534,561,281,275,102,668,236,455,969,840,340,052,043,811,900,333,
258,879,112,947,321,695,743,070,329,750,676,560,863,335,919,713,179,449,597,
080,710,884,074,044,509,534,532,980,110,367,292,622,150,856,399,748,822,312,
729,484,385,927,341,918,700,892,923,371,918,387,453,773,514,288,769,270,391,
704,517,677,707,905,135,487,113,335,667,646,601,202,961,229,103,677,694,713,
246,736,587,438,497,162,740,767,793,499,279,725,162,964,729,554,256,018,736,
551,471,833,479,366,115,135,135,399,657,352,845,234,149,631,904,071,452,960,
996,119,650,701,305,052,479,166,968,437,559,706,755,436,566,008,535,800,457,
965,817,077,553,095,917,661,671,605,859,315,825,341,901,410,802,312,463,347,
451,486,711,740,808,894,359,313,688,017,793,628,978,319,638,200,236,499,202,
052,043,492,225,950,273,556,905,388,852,627,603,688,458,709,743,963,720,180,
415,531,637,283,170,585,129,604,111,876,092,315,242,814,150,598,814,826,029,
294,521,287,076,838,818,455,195,059,751,971,449,531,183,245,674,589,342,228,
603,863,131,510,949,505,757,316,759,141,440,814,512,812,312,911,240,792,043,
650,739,582,567,106,359,642,858,252,830,128,451,913,032,880,103,231,495,548,
646,601,987,118,599,330,786,962,790,090,959,830,170,352,069,198,687,136,909,
365,249,524,517,341,564,135,805,033,052,514,124,469,632,475,032,353,749,888,
959,801,898,979,013,588,949,898,852,403,833,260,215,690,958,447,448,846,026,
746,616,166,161,765,908,035,285,403,723,955,000,933,014,531,162,584,874,672,
247,987,150,878,548,373,566,034,683,866,410,357,387,437,594,632,547,165,934,
337,790,536,401,999,461,755,242,411,590,540,226,674,192,165,402,941,643,702,
284,248,713,649,472,330,725,570,471,679,398,132,808,221,397,803,124,763,553,
090,577,476,296,858,521,804,655,446,028,620,109,809,695,402,756,640,230,143,
115,929,335,323,392,204,072,082,658,463,356,648,630,873,042,161,916,345,217,
890,235,886,022,321,946,942,186,978,296,870,297,064,358,127,899,173,230,135,
246,747,250,372,538,711,974,659,606,338,288,318,208,105,595,234,442,053,222,
440,210,930,875,284,180,919,740,663,173,196,610,896,395,983,939,544,244,908,
978,405,427,110,213,683,755,935,603,552,282,644,861,754,965,159,868,186,894,
157,233,612,723,107,162,105,787,968,792,054,352,463,297,162,985,371,890,902,
410,853,472,809,041,441,828,351,561,402,444,641,719,245,631,289,050,291,652,
304,086,704,299,067,366,546,205,093,110,006,214,418,868,842,043,217,202,495,
299,207,653,555,135,195,328,184,455,973,173,830,600,161,473,993,635,346,365,
782,108,739,716,723,715,794,345,858,562,246,468,980,146,843,529,016,174,823,
307,415,538,804,739,755,487,436,976,974,077,584,064,992,844,835,110,634,299,
460,227,764,073,657,729,153,118,372,559,134,357,506,839,384,573,041,859,206,
707,253,563,477,084,461,744,485,257,624,340,947,754,730,538,171,672,701,545,
888,547,391,774,581,760,950,423,386,686,234,816,182,902,596,008,777,520,487,
487,812,722,458,339,733,715,404,536,398,892,384,471,536,074,404,932,293,060,
284,176,743,591,513,985,465,726,334,916,915,606,208,000,465,003,530,964,034,
756,045,291,551,501,319,980,733,825,644,105,769,599,270,117,881,947,032,937,
154,546,568,100,852,007,389,352,850,328,341,692,679,767,023,429,777,058,382,
445,070,951,276,869,177,701,086,895,967,146,506,695,397,241,320,533,979,410,
217,371,766,577,399,684,724,304,469,296,031,335,952,377,551,173,134,162,236,
662,353,552,619,106,846,238,023,390,705,304,951,629,185,650,170,918,816,192,
540,828,483,610,314,408,700,346,958,568,568,418,604,517,276,041,971,646,631,
400,398,792,287,461,153,580,668,327,062,541,952,847,201,341,549,487,857,346,
073,987,069,742,200,284,050,683,969,606,231,215,065,338,297,263,824,738,147,
204,626,529,537,936,010,687,426,549,713,785,958,377,668,760,071,022,525,656,
306,276,117,052,131,404,148,469,900,007,610,165,230,117,113,534,845,926,516,
420,460,268,609,664,797,923,683,944,203,101,025,428,165,693,412,501,141,303,
690,751,086,918,326,651,479,973,238,792,726,197,374,230,223,380,220,644,906,
853,962,688,580,063,138,715,822,176,282,758,433,318,858,853,652,536,951,456,
793,348,629,170,424,074,052,882,598,739,147,790,725,325,201,989,640,010,396,
372,515,648,488,684,201,865,920,005,141,591,922,989,264,335,868,229,926,104,
317,776,905,425,590,112,802,893,571,886,782,886,790,295,080,842,861,305,359,
868,762,776,653,968,808,854,400,469,139,441,626,453,389,545,173,372,824,434,
635,107,032,327,867,375,326,701,719,554,780,464,742,272,333,115,903,146,214,
992,302,802,709,544,765,231,425,147,566,411,037,928,782,094,497,974,370,872,
808,224,416,700,362,865,742,145,710,114,081,536,496,934,550,200,287,364,411,
629,914,579,110,234,166,456,209,824,633,601,777,446,014,625,972,984,691,503,
490,078,295,464,440,099,442,615,390,699,523,906,917,684,431,590,660,212,114,
753,614,260,473,919,160,141,895,011,715,426,027,062,922,758,232,266,416,098,
071,145,130,434,224,951,685,344,191,348,885,951,578,237,584,239,853,484,188,
054,544,426,342,388,719,292,466,645,094,292,950,342,860,476,141,436,694,365,
318,732,562,810,886,514,348,195,658,545,795,595,903,777,950,177,294,483,388,
467,412,945,674,310,288,462,803,458,279,322,280,155,212,109,861,227,995,127,
877,031,751,628,519,442,753,269,665,429,931,624,283,599,669,978,068,626,178,
662,738,809,086,187,431,703,074,247,667,218,177,615,688,808,768,187,401,437,
123,841,676,550,227,112,216,709,475,487,292,183,376,217,410,116,725,927,743,
923,274,567,097,300,995,185,030,403,081,368,585,786,355,629,469,404,453,686,
847,000,241,016,089,731,678,750,563,525,877,937,250,161,784,684,249,159,728,
095,687,830,952,605,850,344,662,471,637,672,531,965,408,537,145,550,914,637,
949,010,012,067,912,704,928,995,650,031,436,899,205,084,172,631,843,657,045,
028,211,872,775,351,617,096,622,164,417,351,608,930,243,275,607,981,522,959,
182,450,123,745,855,459,357,849,966,436,355,543,939,648,644,103,640,928,932,
016,008,121,968,753,741,154,106,607,178,937,333,472,281,530,453,084,313,787,
739,347,082,838,971,127,632,586,191,468,029,867,671,029,464,180,059,927,293,
427,205,345,370,414,962,062,726,037,019,424,228,719,925,246,540,704,680,587,
706,502,784,399,571,680,298,805,129,766,184,115,196,431,305,224,801,014,432,
462,427,620,604,972,999,599,827,426,594,335,800,145,335,717,914,059,049,199,
407,090,962,705,317,820,194,753,954,120,883,341,276,030,401,826,807,814,889,
903,793,889,774,907,665,342,254,674,826,737,910,703,424,780,812,592,460,704,
479,412,302,822,691,940,403,597,807,146,560,514,986,517,993,931,548,208,322,
472,704,917,899,189,277,383,136,456,601,272,256,296,535,104,208,456,704,528,
913,378,983,751,261,090,189,229,651,172,579,499,974,838,382,326,563,395,459,
898,652,611,351,297,869,151,997,030,388,738,135,576,735,530,890,630,638,192,
013,876,367,217,138,920,702,464,685,726,982,705,547,439,094,186,978,070,126,
569,090,324,208,530,493,021,788,940,370,704,728,375,068,723,964,526,966,290,
243,258,313,975,153,314,520,746,977,032,584,575,882,115,043,280,669,168,507,
943,427,292,882,261,965,832,942,114,562,907,931,852,568,365,458,114,084,888,
315,614,568,590,083,600,955,993,845,592,351,785,050,750,980,784,856,964,230,
100,849,975,954,753,893,816,254,074,178,248,854,158,660,111,405,645,409,322,
024,535,181,976,816,061,729,639,922,036,609,640,246,070,336,174,811,334,716,
000,819,743,584,256,455,715,373,921,689,788,644,745,365,996,660,555,603,235,
614,720,597,564,787,917,462,554,535,202,749,540,170,403,118,291,866,184,944,
506,759,613,033,480,211,511,515,555,495,209,869,296,327,928,909,498,120,271,
916,975,639,831,808,697,657,750,679,302,891,090,789,132,185,273,061,806,172,
657,489,986,533,381,940,886,748,961,073,158,973,685,797,256,473,120,435,243,
641,819,541,799,267,098,488,133,433,361,885,625,423,143,843,212,624,745,989,
749,292,368,812,038,775,089,041,338,755,239,751,288,890,588,288,596,308,777,
757,572,684,086,629,707,595,305,824,891,142,462,524,457,493,455,474,188,070,
996,341,979,788,563,668,640,640,476,921,896,050,954,911,424,703,447,837,213,
305,498,215,081,914,341,366,142,107,382,823,503,537,513,640,316,919,754,768,
532,074,822,029,424,667,485,502,083,099,502,648,440,552,584,498,522,761,247,
664,185,061,133,757,931,914,819,763,577,844,802,823,972,343,154,501,497,225,
905,423,600,288,026,225,999,206,725,558,769,121,401,661,071,969,866,074,164,
928,245,883,224,719,232,178,328,647,815,631,708,843,073,314,403,726,174,963,
793,988,624,137,841,119,972,765,676,155,376,442,525,783,384,389,689,883,750,
147,901,490,777,311,264,624,791,923,317,677,398,007,237,454,476,659,616,618,
052,645,853,358,009,282,829,045,904,876,616,466,463,987,053,193,736,548,980,
088,395,680,908,861,979,196,363,064,673,560,158,543,878,742,918,142,392,280,
630,501,732,731,372,751,835,178,636,647,827,991,019,390,416,611,869,138,217,
346,174,988,700,301,395,177,141,031,762,334,839,581,188,636,108,550,545,519,
277,197,114,177,669,944,037,454,152,351,716,567,992,014,301,768,395,192,602,
564,806,098,755,854,395,693,163,564,196,892,632,888,573,360,977,302,446,966,
888,066,483,783,756,423,195,370,970,312,940,494,012,246,937,587,138,012,026,
530,711,993,282,804,967,075,757,580,437,655,539,848,758,231,268,451,154,382,
267,948,206,470,066,580,041,890,986,757,414,110,338,167,618,079,502,478,478,
572,275,191,945,580,267,783,544,401,052,007,132,970,640,111,460,308,076,948,
784,539,256,310,721,310,047,407,330,353,400,833,300,764,099,656,723,244,657,
987,139,065,331,984,068,527,471,829,707,669,329,263,189,547,690,905,001,036,
584,568,001,352,127,313,322,953,384,572,171,783,803,474,149,286,385,737,002,
258,169,741,416,906,219,749,045,594,208,029,201,000,749,537,939,782,405,972,
422,416,626,324,261,809,705,863,238,000,530,333,685,950,372,404,412,102,446,
349,310,634,125,554,392,220,448,396,755,770,893,429,915,055,453,520,507,224,
528,835,028,018,732,655,020,542,708,564,592,148,836,956,935,480,637,724,926,
334,693,808,738,397,528,184,499,898,864,787,612,693,272,942,743,773,323,628,
258,540,822,279,006,785,995,792,484,036,486,331,355,525,380,684,059,412,951,
227,476,409,838,761,563,487,901,201,852,348,052,531,573,293,390,609,478,376,
571,658,023,700,190,531,461,960,858,291,037,283,205,960,639,358,676,216,073,
636,239,508,664,386,093,137,529,228,549,734,801,896,263,744,093,261,343,671,
095,382,408,247,593,799,953,516,158,902,215,879,138,080,956,333,874,312,754,
928,404,218,548,747,287,642,510,029,054,481,190,697,397,863,537,337,664,068,
033,896,268,582,343,753,718,320,774,530,082,345,058,351,394,380,139,204,978,
761,877,673,577,828,129,109,545,213,266,225,257,045,795,024,424,130,588,776,
927,053,046,104,504,586,373,454,765,672,923,216,918,969,262,490,450,495,478,
986,004,053,353,339,198,230,502,181,249,971,604,100,336,799,465,845,359,796,
010,454,096,965,721,464,825,418,820,022,923,333,764,386,627,460,180,478,904,
897,763,680,349,556,684,287,674,609,286,257,067,201,710,665,621,746,668,167,
652,778,599,303,659,708,498,497,562,055,892,072,507,474,013,914,765,800,779,
411,202,531,573,512,788,014,335,085,788,832,760,010,459,995,032,179,995,793,
727,928,877,723,214,480,764,630,266,982,863,163,738,935,801,595,444,524,414,
828,333,577,283,260,969,477,184,051,760,263,338,597,014,026,412,639,926,561,
958,989,808,434,955,437,285,072,215,235,633,476,328,698,036,490,548,497,260,
813,730,669,240,233,262,748,980,724,683,065,925,063,187,440,453,036,447,573,
361,047,297,339,209,710,239,425,263,391,854,104,606,257,752,949,241,821,257,
346,360,118,768,474,716,064,726,173,158,426,957,974,601,308,965,691,112,952,
262,641,342,537,728,279,931,293,746,046,102,540,292,818,920,234,714,856,010,
278,757,218,447,456,806,616,722,551,397,694,924,947,186,979,662,178,976,268,
445,832,536,042,116,071,079,726,133,381,872,389,130,999,532,257,983,091,934,
157,848,922,775,281,947,138,822,227,548,022,941,135,403,875,324,200,641,974,
085,992,888,419,710,579,336,494,988,358,108,104,505,753,452,803,733,116,542,
656,077,626,839,828,945,249,847,762,267,106,360,367,655,062,336,489,244,979,
491,090,338,160,031,800,540,313,006,096,577,985,671,651,650,339,781,353,109,
205,821,586,209,747,491,360,968,807,221,869,151,178,694,399,575,113,817,631,
037,040,692,139,313,849,787,498,572,603,874,339,734,991,052,277,662,183,883,
709,390,214,377,084,481,062,146,063,407,911,985,510,961,455,532,531,471,527,
795,036,756,204,260,211,472,743,548,313,012,857,129,417,238,929,422,385,226,
612,236,707,266,186,606,105,690,633,653,082,516,357,351,372,826,316,739,484,
035,550,508,018,201,278,341,032,197,410,137,325,842,261,942,085,927,622,837,
336,787,708,764,719,578,987,936,444,758,223,895,365,290,543,397,000,109,043,
756,807,783,551,653,817,629,943,754,474,608,500,341,249,258,245,738,341,812,
655,315,840,205,298,959,444,557,951,266,781,710,569,302,039,232,664,278,057,
574,642,353,505,980,180,265,974,453,340,161,190,493,670,496,693,658,839,013,
563,122,878,345,267,083,472,099,532,732,818,135,674,451,013,587,378,304,331,
605,459,270,239,206,575,461,584,415,054,733,780,051,185,389,127,892,050,399,
588,887,405,834,533,065,126,161,261,595,435,048,887,281,331,191,715,839,129,
726,126,344,155,166,988,385,888,846,891,395,995,383,913,519,295,202,228,080,
782,465,205,868,803,205,416,092,338,875,676,076,091,164,079,914,444,410,049,
479,179,308,319,911,393,055,318,018,659,711,331,708,358,362,927,981,553,106,
452,555,070,627,745,794,645,471,042,851,040,214,681,013,944,581,459,236,852,
675,408,421,487,289,970,057,251,769,034,210,326,075,863,144,286,344,632,442,
903,519,967,077,133,235,058,192,178,401,954,075,831,730,732,541,552,472,080,
784,393,797,961,102,277,875,312,472,504,764,247,870,343,548,238,845,538,995,
432,861,957,097,126,730,513,517,812,853,340,273,144,758,220,945,125,466,473,
600,537,317,289,316,352,926,768,545,449,259,837,662,878,149,058,775,288,675,
914,559,014,057,067,014,990,498,200,135,709,334,841,295,249,196,466,761,370,
532,645,877,914,170,019,768,435,371,690,691,176,631,079,453,613,884,411,256,
304,411,612,720,126,188,282,294,271,689,875,496,330,252,545,360,763,735,020,
402,451,303,157,978,055,988,593,284,718,218,098,193,523,106,801,884,470,666,
779,504,833,601,854,145,621,171,819,323,642,894,141,052,832,709,127,534,511,
369,937,051,210,218,546,245,364,836,074,663,444,875,635,375,637,509,784,338,
231,452,181,673,199,849,621,842,769,733,666,429,914,670,287,363,011,948,684,
437,473,978,282,676,082,500,276,490,898,978,073,371,663,740,820,176,052,152,
885,623,484,376,277,675,122,566,297,161,384,460,655,450,982,353,844,183,951,
849,240,527,343,667,481,772,990,521,821,016,739,198,878,195,766,901,431,728,
016,451,003,237,981,938,632,364,342,153,552,133,898,847,953,609,608,007,535,
478,990,802,998,935,167,060,540,273,213,081,294,963,898,530,807,601,562,346,
337,844,949,718,402,822,345,226,497,861,883,779,523,050,272,046,559,298,887,
123,389,643,578,388,598,969,799,007,515,136,765,763,048,019,081,788,994,141,
676,560,144,770,327,603,854,170,555,908,623,575,863,846,008,439,510,075,363,
779,516,893,925,412,729,921,436,782,351,292,206,762,257,950,685,444,769,502,
130,302,326,408,562,461,389,675,798,062,894,187,547,455,541,637,365,950,815,
404,019,826,762,368,667,937,797,011,122,777,581,994,982,440,651,897,565,825,
003,452,269,221,878,373,138,607,573,062,316,719,561,291,434,349,337,278,820,
867,178,637,683,824,721,339,955,348,255,658,331,707,749,854,995,399,467,741,
311,278,195,075,370,667,719,577,742,827,222,208,711,422,419,261,823,126,511,
958,909,082,821,922,809,692,054,124,613,391,961,199,245,185,299,019,326,605,
951,931,037,106,837,048,689,014,920,897,115,626,576,867,537,694,611,194,071,
321,959,177,899,569,241,921,738,358,729,495,722,262,563,751,205,684,882,767,
166,157,988,862,532,706,589,628,967,102,528,657,375,163,854,023,637,810,589,
405,669,884,175,136,741,810,830,753,410,554,219,049,225,361,700,464,463,848,
519,932,677,473,102,178,209,514,462,302,831,718,565,022,799,768,429,828,845,
273,208,726,103,918,978,757,830,837,776,815,296,062,045,068,792,182,911,948,
141,144,463,836,427,185,008,030,228,671,573,822,756,072,209,123,250,658,323,
799,360,476,624,404,804,457,177,811,265,577,797,219,875,915,775,699,660,255,
433,478,992,343,658,256,976,129,160,166,334,040,312,381,863,187,362,724,080,
990,339,697,491,390,027,543,535,451,519,722,239,500,997,836,558,378,751,483,
928,077,461,460,499,881,191,525,695,348,003,430,065,315,500,281,292,391,826,
945,082,770,604,092,389,349,601,483,813,634,886,373,729,656,346,609,498,177,
143,777,827,073,864,035,635,811,167,527,312,791,257,495,200,184,985,025,169,
313,609,828,337,436,499,782,769,904,140,898,357,411,753,518,511,663,359,720,
940,899,843,721,440,940,110,940,156,916,619,928,105,424,560,986,819,925,172,
331,198,274,516,809,384,506,746,686,914,578,525,034,090,557,843,050,002,610,
681,738,762,095,556,584,431,135,543,017,000,895,134,982,371,569,949,291,668,
370,557,205,286,644,635,103,233,428,114,523,045,703,477,872,631,781,719,586,
021,659,368,182,473,909,017,093,871,958,788,580,973,696,114,172,342,135,645,
053,773,382,795,954,656,072,870,768,685,636,223,080,697,315,185,629,623,055,
288,503,517,734,350,508,013,953,252,136,596,336,161,027,834,130,171,654,321,
906,053,746,276,399,078,767,433,276,151,789,160,404,292,332,171,995,256,913,
978,792,054,834,379,754,319,498,663,921,942,649,696,104,442,627,305,609,833,
465,420,409,829,169,197,892,659,506,786,846,589,258,915,684,070,749,645,669,
875,241,458,353,328,098,057,353,446,389,063,950,682,657,653,596,593,378,612,
163,232,899,569,067,877,564,826,139,934,984,969,601,620,889,689,241,318,932,
187,736,145,882,766,701,986,015,537,961,618,027,732,569,912,623,829,116,693,
510,753,791,448,343,722,187,318,857,869,560,143,044,650,954,653,843,634,675,
783,214,080,062,562,636,715,094,518,803,472,036,099,256,959,722,797,108,317,
430,492,987,371,214,713,805,656,873,455,579,960,843,801,901,992,499,709,736,
970,332,771,697,666,923,693,687,968,371,243,871,793,133,982,691,161,421,520,
567,967,405,394,078,252,205,978,359,777,140,665,590,702,277,510,018,227,244,
893,808,623,527,165,524,337,085,747,515,609,208,292,967,513,498,367,493,621,
534,136,685,888,566,626,858,415,086,426,662,154,806,212,828,062,877,321,336,
049,523,691,989,335,412,202,617,137,355,200,473,592,432,430,803,924,822,284,
780,746,499,697,973,315,941,738,947,420,680,993,883,738,949,463,400,592,026,
829,904,919,049,485,388,143,257,452,476,614,070,122,517,181,005,426,906,054,
864,044,588,359,902,648,588,075,641,383,852,059,507,174,517,306,942,315,216,
881,846,767,451,219,968,561,112,024,989,327,101,618,424,703,125,056,981,009,
584,730,119,697,442,690,554,665,202,319,636,068,723,013,827,184,255,104,989,
060,380,366,060,186,031,829,032,997,217,650,593,582,276,906,353,762,934,298,
465,208,792,561,410,001,176,750,954,584,680,797,615,763,512,144,800,136,017,
793,449,411,771,090,225,877,670,090,600,793,762,705,921,516,346,333,012,145,
153,976,984,461,897,783,629,481,057,747,392,815,685,181,866,125,830,614,454,
826,926,094,537,271,125,846,436,180,043,503,576,440,665,776,050,254,798,497,
873,047,523,475,071,867,898,014,560,291,614,763,453,493,136,499,021,070,777,
783,643,072,399,490,205,331,073,617,597,971,966,074,627,393,058,917,678,610,
425,134,524,111,161,273,966,153,694,989,900,855,977,688,592,775,813,863,904,
337,687,343,486,711,500,135,598,174,850,708,240,980,310,682,990,440,738,839,
442,801,403,393,997,978,508,123,683,496,851,149,028,401,096,731,035,671,843,
381,077,056,506,062,993,219,699,787,703,068,431,617,529,065,757,216,133,245,
395,241,666,882,754,117,821,367,363,563,982,970,136,204,425,867,558,815,393,
283,592,295,561,291,783,764,153,924,665,170,997,315,239,073,253,750,295,966,
921,619,375,409,778,171,984,838,564,522,677,945,874,647,639,281,245,575,499,
058,355,064,519,326,219,495,479,323,538,333,870,429,238,837,804,554,840,658,
330,028,674,175,414,446,789,056,307,944,512,050,724,383,105,179,854,421,855,
542,297,017,923,397,842,196,939,928,703,209,110,067,369,921,693,957,869,708,
938,501,775,929,802,036,225,288,019,830,231,684,508,328,524,597,155,905,935,
305,362,387,500,538,881,224,605,062,151,158,707,342,704,458,494,531,082,851,
797,534,659,510,437,054,244,596,833,986,981,580,860,943,608,566,351,909,141,
591,940,188,438,379,756,635,482,029,678,120,985,600,364,520,165,541,944,429,
172,503,754,274,075,942,110,985,034,939,075,955,287,281,425,107,730,056,802,
151,641,647,030,000,322,241,785,273,869,651,873,088,359,103,410,419,461,208,
219,548,416,784,785,590,542,070,977,175,034,799,932,548,771,161,907,261,612,
286,734,519,817,880,074,496,603,412,155,974,394,244,255,947,829,362,317,668,
751,864,290,559,945,681,913,661,168,388,807,413,766,301,274,192,598,855,511,
049,148,164,321,807,187,962,183,636,663,413,853,151,224,848,815,793,760,613,
093,991,379,553,332,042,092,222,179,512,226,148,880,033,086,271,387,572,321,
717,101,637,813,470,134,107,730,777,969,487,176,506,820,588,594,357,847,825,
886,234,749,502,884,100,331,996,718,069,685,382,572,565,372,375,413,056,557,
743,666,590,887,842,918,571,536,963,298,228,153,541,996,179,795,139,164,160,
557,052,668,002,613,339,671,121,543,838,673,886,717,890,932,324,017,705,711,
980,849,205,823,549,184,424,871,092,304,862,108,547,511,899,419,350,465,027,
865,122,898,985,806,273,794,724,763,014,130,468,740,077,233,562,541,049,934,
960,233,125,490,864,535,444,460,588,222,732,728,939,052,141,742,316,139,973,
165,778,052,448,593,319,210,497,438,919,227,286,881,635,011,178,549,859,911,
148,192,288,575,022,181,959,884,605,968,557,714,189,058,232,303,838,587,531,
822,885,680,280,940,232,044,744,257,132,805,862,876,935,845,911,432,033,190,
725,509,224,477,215,433,175,410,381,178,663,490,552,327,489,418,565,242,559,
881,559,508,612,230,912,978,006,657,933,914,759,067,682,665,782,848,848,943,
810,248,709,901,270,789,236,330,248,797,941,392,826,799,976,963,918,884,540,
575,611,337,757,284,612,650,970,921,917,725,006,270,545,505,664,714,338,229,
815,241,032,801,197,631,145,381,310,994,698,069,931,559,629,126,828,257,304,
054,919,429,464,073,066,062,143,188,963,861,941,190,442,189,621,691,184,702,
662,880,124,558,991,191,927,898,453,714,820,552,305,768,912,016,966,620,900,
619,838,552,655,654,826,796,569,064,503,093,216,588,782,536,995,145,432,609,
725,218,866,871,611,291,555,160,258,711,962,457,883,332,730,062,643,342,047,
093,116,939,895,862,094,242,981,268,048,774,763,398,193,009,249,671,870,044,
485,068,274,715,349,852,804,770,140,007,550,597,950,766,009,514,395,887,199,
186,133,916,661,170,018,294,582,869,019,797,714,585,898,883,255,259,218,815,
789,722,308,068,606,962,071,454,887,316,179,602,403,508,057,698,954,428,663,
487,529,833,812,465,434,861,629,212,219,210,375,674,987,021,023,856,041,416,
998,015,287,251,376,934,968,691,932,609,371,286,166,947,410,478,614,528,424,
771,842,754,299,002,899,701,240,388,931,736,555,619,774,164,814,428,759,832,
047,518,567,591,166,756,090,720,778,995,616,950,616,662,260,567,558,555,840,
209,047,453,295,896,862,075,154,180,506,944,442,097,834,156,745,350,844,768,
250,852,730,869,366,151,009,565,206,956,703,548,214,018,922,249,458,231,349,
815,035,906,330,526,830,062,003,026,327,773,816,080,673,596,085,833,683,549,
672,905,121,110,508,680,331,611,533,002,547,380,483,064,544,231,423,172,201,
395,702,385,912,283,829,200,012,378,045,171,147,935,603,957,764,699,127,702,
869,349,140,324,624,133,874,268,068,701,008,404,334,350,160,958,139,773,814,
111,006,133,118,157,986,536,182,915,964,809,642,449,852,331,710,803,467,502,
251,461,545,334,921,867,480,935,997,210,684,315,195,166,182,394,768,069,647,
777,070,450,518,303,713,579,006,775,304,286,456,368,476,068,509,953,008,643,
577,115,871,565,745,110,035,778,058,945,467,420,020,511,168,085,328,743,367,
517,118,023,007,169,938,366,524,596,527,363,246,427,681,299,071,954,123,009,
986,143,867,930,283,014,964,893,871,553,589,802,859,807,883,421,209,055,931,
774,011,919,852,542,942,668,434,853,973,677,938,768,235,153,083,768,233,112,
099,653,926,393,591,293,913,892,314,644,026,531,525,673,680,946,521,350,332,
555,606,935,129,217,053,631,473,874,073,553,656,025,857,861,333,920,150,922,
347,701,097,619,591,764,783,714,236,698,983,897,974,081,956,406,054,031,989,
067,620,848,384,070,863,323,014,737,806,881,019,170,728,019,424,914,330,177,
753,668,888,414,948,533,889,035,029,736,456,486,141,502,419,868,864,613,783,
997,430,044,739,753,194,006,112,328,614,058,309,250,288,426,779,549,170,357,
835,598,984,479,372,458,190,210,465,479,887,159,685,480,454,933,626,332,796,
886,742,721,116,730,352,020,774,104,848,614,680,040,707,952,448,332,814,931,
951,096,516,786,323,605,444,653,053,355,118,151,397,818,168,933,697,693,432,
334,543,011,240,440,642,070,871,191,395,270,418,635,547,763,762,084,181,387,
290,372,985,182,405,469,266,714,659,772,764,582,745,310,741,175,664,316,145,
444,671,125,204,869,884,881,773,616,874,556,667,396,964,010,741,475,801,726,
912,780,584,764,336,617,902,619,560,585,571,468,318,785,826,080,403,246,300,
606,136,333,633,633,355,093,974,280,263,154,163,592,237,517,302,400,502,216,
715,639,684,930,709,805,766,610,913,059,198,197,007,737,644,999,045,811,368,
096,220,617,599,064,157,082,590,408,955,664,273,268,102,856,388,083,205,628,
302,017,634,496,099,963,856,488,420,117,924,949,177,679,038,281,428,012,798,
463,712,934,658,321,701,656,169,801,307,996,225,579,718,657,344,878,438,198,
709,340,494,514,966,932,073,982,843,094,450,058,193,144,210,028,797,658,193,
460,034,520,489,771,662,639,079,710,595,010,996,565,079,936,575,225,410,605,
212,995,076,321,405,870,721,328,153,024,114,638,351,371,810,722,961,231,285,
356,467,799,094,904,548,368,909,479,440,035,069,864,212,962,152,861,271,483,
330,551,295,772,918,964,765,167,720,023,268,517,468,200,632,163,610,525,627,
506,076,593,222,213,180,740,944,211,400,151,847,457,559,391,749,896,199,825,
467,447,310,895,799,340,705,073,900,824,443,215,833,246,640,020,260,288,538,
704,052,447,864,803,282,734,153,230,277,166,853,781,109,098,570,968,988,351,
210,442,633,301,328,297,456,425,573,120,797,552,567,624,017,684,795,645,582,
349,901,212,153,589,372,990,446,784,242,138,151,681,640,407,354,037,888,412,
819,992,320,251,731,805,035,008,374,951,517,788,071,273,974,410,371,694,894,
027,737,073,704,497,132,676,875,320,853,423,560,285,499,032,857,339,871,882,
312,674,241,373,393,066,154,644,910,820,590,171,300,084,707,350,294,092,031,
583,118,339,887,635,753,041,275,753,102,519,431,095,379,697,138,608,075,346,
694,760,206,299,695,073,021,504,080,271,938,109,615,060,162,658,563,572,104,
357,420,869,582,672,073,977,998,748,015,339,048,462,445,233,256,321,021,881,
200,590,859,987,211,172,370,193,978,830,469,082,669,417,510,972,798,654,412,
846,993,216,383,961,568,430,776,317,001,464,782,713,430,537,609,189,325,457,
489,342,116,348,446,789,560,281,325,194,824,262,930,701,460,506,038,676,236,
232,994,190,359,598,432,505,620,719,701,308,445,186,756,274,815,685,889,389,
854,361,094,299,163,170,588,975,707,058,335,193,192,515,946,998,042,622,696,
140,497,258,579,724,408,872,066,506,222,813,950,390,549,570,842,995,910,314,
673,198,203,077,072,016,874,186,719,195,451,908,984,535,992,182,880,556,404,
129,129,728,550,595,464,777,954,874,449,717,618,405,591,262,874,499,546,928,
766,362,798,131,455,335,437,789,421,370,322,758,465,214,447,193,862,373,995,
802,716,590,871,539,092,177,406,666,049,009,725,477,642,151,844,481,794,183,
478,962,783,195,627,008,639,865,533,283,596,662,926,149,039,742,758,734,615,
686,312,024,127,652,473,835,719,366,269,239,221,221,792,160,614,923,687,436,
550,594,090,266,656,443,361,353,127,010,008,629,595,277,656,911,010,778,355,
930,114,478,172,003,531,344,696,882,219,735,440,459,265,347,999,454,802,839,
394,069,177,177,703,622,916,509,237,542,157,168,839,201,899,347,276,529,771,
302,251,911,490,665,878,506,104,920,441,081,433,378,035,221,310,085,750,162,
368,208,153,377,249,942,580,781,088,387,559,611,852,712,969,644,715,736,518,
639,099,137,113,263,507,189,884,142,659,299,087,321,903,065,974,039,333,559,
643,604,997,380,316,184,854,126,171,769,498,754,409,396,645,820,286,359,293,
949,711,315,810,531,773,285,844,531,177,721,402,507,523,156,716,950,310,363,
125,881,406,876,525,588,183,866,082,548,020,307,149,791,198,331,242,339,129,
143,212,824,617,184,641,794,166,752,703,331,317,390,488,402,371,632,000,343,
275,166,652,362,074,160,563,674,682,563,133,950,536,216,603,823,281,557,345,
137,837,706,184,786,822,075,722,891,476,207,977,746,800,068,516,569,895,241,
239,308,750,776,341,443,495,545,319,695,493,839,830,051,628,811,689,373,673,
587,373,120,322,265,460,086,270,997,722,126,722,843,281,133,126,112,413,245,
689,212,299,149,910,743,908,358,004,194,813,035,137,767,912,964,674,157,777,
415,890,990,687,523,868,582,357,842,814,930,621,410,190,612,944,648,683,850,
768,623,903,077,360,514,808,014,174,754,227,828,535,559,271,375,070,449,973,
873,515,732,514,777,011,152,222,557,311,887,757,113,459,966,174,010,523,753,
939,588,860,842,221,480,673,909,069,662,940,824,206,698,510,206,582,708,219,
057,519,220,692,306,571,102,826,273,577,403,888,561,668,261,601,251,965,570,
966,459,848,438,785,441,138,402,885,276,866,368,827,814,930,943,543,954,841,
692,721,559,034,651,304,765,339,556,900,952,080,455,529,546,025,127,140,021,
924,750,261,028,510,591,856,850,019,503,646,509,631,483,150,336,864,342,835,
680,642,923,388,972,403,352,881,014,683,003,218,693,247,719,789,083,347,856,
675,347,684,813,401,070,870,467,198,640,543,508,333,538,847,096,969,512,256,
891,441,984,427,653,942,401,167,388,324,451,866,215,424,198,612,915,479,060,
770,819,710,313,181,924,748,763,747,364,491,878,948,279,600,238,619,404,412,
148,465,238,327,467,603,381,472,196,769,107,730,350,060,394,796,249,163,673,
142,978,026,681,523,865,792,438,019,395,734,394,335,711,367,011,110,063,330,
478,007,833,885,703,205,461,937,372,658,426,248,936,965,123,410,050,157,128,
253,324,589,957,924,144,695,769,698,676,095,842,674,340,329,127,168,233,038,
381,000,637,884,317,751,350,003,490,683,273,541,355,734,993,081,360,461,534,
011,316,798,590,046,841,450,846,609,221,323,473,373,278,002,098,673,252,643,
918,749,793,753,286,605,220,530,801,516,818,341,380,634,852,472,662,877,462,
023,492,126,816,572,425,421,777,455,781,184,385,605,879,813,289,764,017,741,
582,537,275,025,171,957,638,189,093,803,707,221,209,732,864,640,242,075,599,
767,325,953,725,062,201,923,627,554,126,866,838,574,981,167,626,272,138,482,
436,327,711,474,711,865,209,002,632,510,199,295,251,623,517,412,935,552,548,
257,334,665,668,371,374,001,221,374,100,644,422,509,993,646,471,502,185,843,
313,894,154,549,773,090,501,180,780,438,447,444,730,437,412,983,711,389,512,
781,810,274,886,175,688,807,952,141,749,249,662,363,621,762,165,398,485,837,
519,305,947,168,268,593,504,080,667,362,842,540,925,311,787,328,413,695,132,
639,551,068,713,521,350,719,057,858,400,519,695,536,228,693,279,181,242,509,
148,035,064,718,048,813,753,975,728,295,543,699,648,548,762,032,199,086,688,
385,175,595,089,011,896,280,378,658,414,106,272,334,374,423,201,373,115,671,
477,461,778,750,247,558,803,674,333,545,481,899,278,374,264,931,805,883,063,
543,809,213,691,718,336,913,377,104,278,266,405,733,316,450,551,187,321,740,
419,843,228,138,362,356,048,204,287,937,147,956,675,817,448,029,391,246,611,
741,484,721,689,457,797,562,299,569,818,318,085,112,705,294,603,539,809,113,
324,047,663,068,804,643,125,486,560,822,874,805,550,078,201,115,887,241,404,
769,218,035,940,792,882,176,982,762,087,153,566,918,904,665,753,144,482,761,
542,754,254,445,970,888,486,716,579,164,259,160,211,151,717,971,814,782,355,
459,496,420,508,673,184,081,792,573,127,484,516,926,798,980,696,125,420,838,
117,603,856,526,086,345,679,307,588,502,316,510,630,044,846,725,812,490,395,
334,875,097,356,972,428,880,801,563,290,796,253,336,439,894,418,475,811,942,
327,547,806,454,176,609,669,763,852,805,686,861,023,396,105,368,256,199,481,
410,223,157,412,954,059,723,962,947,300,757,994,631,886,805,152,151,050,366,
153,263,614,771,508,986,261,027,514,858,883,167,513,735,794,200,611,825,336,
246,024,488,472,965,229,891,909,049,178,378,818,771,007,521,269,652,951,381,
667,525,302,664,823,069,478,815,061,722,159,394,322,482,054,039,476,662,465,
315,444,517,152,199,606,988,506,286,297,589,194,989,345,932,905,594,721,339,
691,942,993,685,451,387,252,609,118,694,572,247,522,409,473,215,562,367,277,
114,993,335,692,234,422,340,949,680,852,985,682,037,759,388,825,087,292,716,
005,648,539,047,325,976,839,043,255,198,011,380,530,859,115,226,736,548,176,
620,378,602,328,711,406,100,179,404,083,683,640,358,134,827,702,332,606,599,
019,117,340,978,701,987,134,729,317,473,499,220,465,648,776,869,677,194,428,
612,217,692,236,947,068,066,473,194,675,295,292,595,617,253,726,159,284,907,
741,079,901,078,570,820,706,594,640,835,050,497,247,802,315,923,888,870,454,
659,273,715,311,286,523,219,180,538,507,154,167,153,555,345,065,624,242,393,
332,771,411,721,996,683,744,899,111,630,623,792,867,227,403,182,371,148,007,
886,819,901,708,581,222,186,324,511,666,274,282,846,935,691,311,909,688,921,
053,890,489,750,817,233,829,016,276,338,452,941,724,654,738,870,587,302,033,
470,494,639,915,545,247,330,726,079,789,736,079,918,184,275,131,026,037,021,
614,382,899,666,077,124,721,904,348,692,423,979,781,844,499,310,725,133,119,
167,417,367,886,948,682,307,110,615,437,524,566,035,151,816,838,521,086,771,
386,904,038,641,324,182,778,319,467,328,747,561,990,423,741,568,896,651,693,
454,101,946,160,952,165,779,815,107,594,175,916,315,223,423,064,467,534,628,
629,401,631,797,795,783,862,732,850,727,063,161,406,735,620,654,363,243,049,
823,492,623,012,383,727,800,832,748,298,098,531,173,717,589,419,015,929,018,
467,491,337,724,027,293,653,781,426,244,674,986,392,335,093,424,831,219,261,
587,286,697,113,708,531,311,148,978,948,526,777,531,077,701,157,031,683,999,
434,066,430,353,354,916,758,408,162,411,503,598,706,144,624,515,308,048,900,
112,141,895,278,051,824,110,740,473,500,828,063,460,617,724,605,986,362,151,
395,989,617,760,851,054,478,461,505,099,547,358,372,013,143,921,331,867,768,
758,759,377,952,697,135,771,750,297,761,372,580,646,728,298,980,928,869,144,
922,171,602,264,659,688,206,913,312,959,954,214,664,770,426,887,066,733,798,
294,048,661,443,284,802,820,711,676,655,538,731,029,545,485,101,905,719,057,
269,581,288,732,400,449,691,273,428,969,973,346,080,476,504,061,252,658,351,
593,924,362,756,193,142,911,139,511,496,205,730,240,551,810,579,944,532,407,
306,373,070,937,829,106,039,794,310,554,003,480,906,295,395,941,284,591,586,
896,601,733,009,397,947,794,289,792,755,138,488,279,021,555,391,905,586,965,
199,964,087,283,438,482,466,055,351,851,713,312,879,778,035,691,103,235,286,
015,636,088,221,275,266,267,468,314,644,505,833,950,767,389,274,905,442,396,
364,351,576,859,081,368,350,521,162,267,189,744,973,115,804,590,114,659,214,
017,942,449,209,030,147,252,600,295,865,286,554,014,693,901,012,182,537,507,
062,131,592,997,008,547,098,478,276,304,527,539,458,307,593,795,642,524,976,
002,857,079,762,646,866,683,678,640,237,999,636,937,326,702,784,552,999,810,
548,813,744,023,158,887,600,482,952,893,919,589,608,935,934,569,481,720,104,
789,496,640,829,744,225,644,901,702,036,525,802,688,132,124,721,265,009,045,
564,389,876,247,030,514,471,151,441,194,642,118,674,595,939,123,053,743,889,
739,323,080,054,371,374,181,605,448,247,868,465,003,727,262,602,078,553,569,
178,117,734,450,731,091,042,065,342,259,790,314,281,280,360,591,092,918,476,
849,921,976,816,223,534,362,637,976,702,109,130,943,487,195,426,067,669,665,
518,070,171,045,481,837,788,620,383,180,014,121,468,955,903,038,270,061,039,
760,226,165,303,516,202,930,509,636,334,083,650,813,984,637,161,121,271,179,
105,495,810,139,259,537,355,135,831,144,094,970,366,904,271,495,763,503,249,
479,405,793,579,842,843,561,099,665,240,900,242,781,103,678,701,906,366,737,
331,425,861,744,548,043,624,945,262,725,891,641,338,171,820,312,221,705,720,
268,590,833,471,510,836,592,795,782,816,334,816,116,365,785,104,329,801,029,
358,670,802,015,056,158,543,428,551,249,714,493,704,158,577,135,440,059,069,
774,469,172,927,801,063,734,719,945,455,755,308,587,382,523,488,554,321,434,
975,360,056,508,676,035,660,568,729,941,017,161,921,993,434,973,965,540,000,
149,667,581,500,217,337,296,343,731,418,954,127,107,952,299,295,185,868,519,
520,171,469,569,540,398,657,961,334,391,905,634,460,470,196,874,791,227,042,
694,999,101,013,464,843,001,005,408,968,437,673,845,213,844,845,464,173,823,
552,334,893,860,056,302,121,978,404,204,092,557,818,145,998,749,540,866,991,
920,913,100,783,578,583,931,169,627,440,977,051,020,745,870,468,754,849,373,
541,603,927,940,605,140,147,273,774,295,275,026,807,845,871,875,308,355,649,
974,751,505,402,985,901,025,743,159,755,944,389,564,210,809,264,639,612,598,
914,187,465,551,100,980,991,939,934,328,799,720,396,923,665,161,166,798,369,
201,665,950,589,213,893,981,739,620,315,480,422,375,927,323,377,271,530,592,
669,982,608,873,249,288,381,937,683,539,282,350,747,006,621,211,518,072,271,
188,092,991,447,180,681,185,965,247,303,822,773,441,329,569,405,859,656,457,
707,223,415,960,594,610,189,738,734,276,364,891,756,042,449,043,771,206,715,
905,425,233,528,920,081,783,608,269,466,042,683,067,014,414,363,862,739,932,
248,912,576,360,334,380,172,522,421,275,436,168,649,176,488,290,570,152,145,
272,430,869,811,391,622,154,749,491,556,952,247,626,197,449,708,378,698,384,
398,675,432,314,118,000,290,086,029,561,440,862,826,244,681,398,711,816,567,
518,979,148,543,163,951,929,653,393,021,442,147,068,105,233,329,681,524,751,
749,735,314,056,051,966,218,697,657,597,967,830,739,567,208,692,154,677,604,
865,320,274,062,670,437,687,914,604,618,952,624,748,192,610,498,301,502,660,
637,227,353,910,269,085,644,775,287,035,940,717,209,220,922,125,655,255,664,
962,859,593,855,074,572,680,045,421,219,188,679,540,887,253,009,257,147,504,
529,022,158,040,671,380,698,297,434,720,934,431,061,917,416,240,103,431,633,
375,067,676,619,338,776,334,742,989,880,439,672,555,062,867,815,359,819,266,
196,034,549,857,110,523,956,694,772,752,090,488,821,843,699,019,703,184,218,
683,582,560,181,642,716,713,218,833,622,393,015,389,737,724,043,543,593,916,
136,911,228,241,743,505,688,863,389,647,900,825,812,085,996,218,515,013,079,
305,634,958,008,858,460,641,001,892,671,215,268,150,664,535,524,505,152,943,
120,627,841,376,525,348,864,189,451,716,085,770,647,723,397,581,827,969,797,
208,042,581,376,963,985,408,830,593,801,472,067,714,295,018,361,725,474,814,
127,943,064,621,905,614,536,291,249,759,605,214,867,664,652,201,295,676,669,
119,317,155,749,673,386,587,126,575,250,496,209,536,901,010,973,968,545,548,
289,156,514,231,016,950,623,117,906,328,649,224,745,558,876,437,216,757,613,
424,309,885,919,976,399,426,565,057,285,897,643,793,164,305,348,130,441,508,
981,295,035,766,116,804,252,933,417,423,665,779,062,095,766,549,778,283,270,
532,942,268,360,340,177,341,042,627,815,693,534,000,968,232,923,897,623,593,
077,754,837,132,565,808,493,466,336,764,278,564,108,750,374,431,205,253,577,
821,301,111,980,799,756,657,855,033,780,212,993,600,092,850,148,568,179,671,
394,351,166,956,685,753,472,682,240,728,661,611,136,111,986,002,504,863,348,
863,232,792,880,015,529,849,189,067,331,362,723,879,649,989,113,436,045,175,
967,048,675,792,123,923,652,706,887,026,524,454,873,008,397,742,522,872,854,
926,159,677,599,586,789,659,325,709,513,555,593,970,737,844,905,774,511,777,
728,307,700,140,413,555,266,345,856,920,202,813,933,631,631,650,378,303,073,
081,074,288,397,049,721,931,814,880,659,655,170,138,603,457,590,499,069,000,
052,132,047,771,093,230,777,837,632,288,641,233,046,963,798,229,444,545,021,
607,329,566,483,241,116,972,696,203,560,358,676,675,123,168,356,069,274,696,
460,401,248,208,633,704,331,450,014,436,518,228,898,614,296,086,393,433,126,
434,648,954,716,366,875,756,951,323,663,927,192,413,968,672,085,847,651,057,
013,355,843,546,117,254,398,614,343,402,695,340,892,842,919,262,176,126,163,
249,431,480,461,994,871,600,390,184,711,542,579,116,829,423,010,329,392,728,
290,512,962,872,201,540,782,664,243,054,748,710,600,693,178,231,253,524,335,
082,173,710,321,324,452,860,479,523,421,901,991,784,993,648,957,772,165,605,
946,998,056,209,409,334,304,255,674,032,446,640,846,057,612,240,130,001,080,
435,264,782,050,355,397,945,246,361,903,422,546,755,444,461,650,664,156,076,
765,161,490,061,515,083,510,551,343,944,748,016,747,913,993,857,503,481,800,
236,832,541,583,711,509,534,805,794,053,073,228,393,795,866,358,721,442,644,
368,382,359,035,879,426,611,417,130,238,134,953,583,713,451,129,454,958,014,
458,063,883,987,981,805,054,635,325,652,060,201,671,390,494,785,472,439,303,
658,129,933,520,734,133,662,254,135,071,792,411,696,515,625,974,318,071,698,
819,540,435,580,085,963,083,184,852,179,348,031,776,916,500,184,164,547,728,
462,449,257,502,752,485,145,210,802,937,064,994,270,376,098,043,500,833,913,
499,729,415,872,079,417,441,351,716,019,151,317,706,689,294,867,244,707,255,
537,022,155,683,691,645,265,439,335,864,450,405,692,479,497,998,116,935,887,
583,772,114,499,910,667,101,119,397,402,987,932,396,353,651,691,970,290,144,
084,960,711,956,436,629,307,544,777,707,696,368,456,110,085,059,040,055,650,
304,397,817,359,788,521,914,412,278,514,342,173,820,860,654,439,405,939,950,
565,519,415,359,193,686,446,437,897,451,124,302,672,428,887,411,591,173,410,
301,988,330,232,622,919,403,305,193,421,395,865,021,806,784,171,549,539,573,
028,732,983,407,811,106,181,001,632,578,328,192,678,001,205,263,870,400,822,
088,766,289,336,048,842,290,675,784,771,168,308,438,169,282,877,325,324,212,
529,631,293,107,867,879,630,411,075,536,564,723,519,301,954,107,974,508,752,
387,078,359,011,271,334,554,094,006,035,856,235,063,378,147,829,568,583,936,
963,159,302,627,235,347,768,205,402,903,502,571,036,249,188,515,027,535,951,
682,366,867,619,575,842,254,782,812,782,361,035,536,723,257,409,358,480,443,
165,959,996,741,619,049,486,262,297,448,410,317,447,492,442,570,862,095,025,
285,569,571,446,127,653,815,671,883,283,605,960,054,782,760,945,255,518,416,
420,382,143,621,768,112,951,079,180,056,654,307,095,138,605,670,483,933,294,
194,904,641,311,236,682,853,062,768,113,926,288,398,197,164,170,685,212,708,
285,959,848,448,205,289,787,671,982,581,108,919,938,263,418,588,899,149,576,
499,350,349,978,277,532,788,223,999,458,126,049,319,016,990,572,971,838,281,
664,629,692,422,828,805,430,865,123,703,974,191,238,995,986,179,765,509,888,
802,866,578,201,124,383,509,855,840,623,975,857,777,043,335,828,165,571,678,
599,797,689,258,172,561,813,290,350,847,493,480,353,935,067,434,863,137,845,
654,878,247,416,576,362,300,118,528,892,289,233,984,678,125,377,143,787,759,
873,027,543,721,033,542,833,408,323,843,345,938,023,918,680,419,158,724,037,
790,090,747,252,581,500,528,376,390,877,826,721,988,384,480,044,858,170,560,
097,250,785,800,931,488,233,643,645,526,355,171,530,346,746,109,437,073,539,
747,422,048,960,477,680,328,804,196,756,952,486,116,971,962,790,715,994,475,
345,264,919,913,049,322,461,011,428,622,581,738,864,215,781,587,309,358,739,
347,506,174,294,700,217,394,818,998,425,029,452,838,471,183,103,893,593,817,
378,634,693,908,407,819,529,212,134,307,684,576,804,529,998,101,715,014,050,
278,428,392,449,568,394,792,176,640,027,977,479,183,707,208,139,846,360,969,
075,708,746,446,136,135,218,940,944,530,111,125,875,846,555,266,009,900,252,
548,814,393,444,800,309,526,933,604,372,346,155,906,323,277,115,483,961,032,
136,777,738,063,633,391,486,036,738,127,460,931,444,015,432,959,057,327,653,
673,313,232,317,663,604,011,556,219,664,965,057,260,774,860,590,919,869,374,
752,793,883,301,133,014,164,422,805,401,122,074,187,676,473,887,918,554,138,
605,088,476,069,860,489,087,141,110,752,113,509,522,361,434,270,993,602,374,
341,823,711,396,015,782,603,867,519,032,227,646,986,307,670,087,271,472,574,
727,275,654,626,506,167,437,213,791,107,935,687,027,628,210,117,990,938,379,
344,687,388,403,070,061,100,359,399,295,343,949,594,803,718,925,528,920,763,
542,248,490,094,238,000,677,069,673,467,124,477,686,288,166,413,178,268,100,
380,975,640,369,545,075,451,845,016,055,247,491,706,846,555,569,497,147,358,
122,878,889,031,818,141,626,119,126,556,442,834,757,646,688,142,444,443,994,
958,801,283,459,142,406,062,005,952,606,351,634,299,213,804,366,838,697,624,
039,942,676,061,243,254,120,097,724,077,553,407,258,527,928,858,017,428,802,
902,570,314,530,431,538,222,202,461,121,056,973,186,495,521,220,101,830,964,
261,762,480,882,902,717,044,352,120,807,624,108,013,528,683,418,483,960,998,
169,038,155,750,600,508,746,029,359,504,951,164,555,851,293,401,423,375,805,
408,309,834,644,806,700,003,112,657,585,188,428,863,992,192,423,718,508,087,
855,543,953,454,808,571,588,358,240,556,318,198,261,887,188,371,664,199,613,
720,668,548,777,092,242,190,538,600,810,179,540,325,686,327,386,033,525,762,
748,364,810,193,581,834,638,933,552,579,141,825,965,310,347,719,914,121,319,
310,312,141,135,764,763,855,708,119,277,891,734,038,583,741,953,600,515,960,
651,316,620,505,520,879,901,086,496,265,613,234,397,811,297,608,059,680,665,
315,391,781,990,569,001,282,801,120,420,915,732,102,181,704,165,955,201,122,
695,757,953,393,132,463,808,234,336,599,301,680,845,198,870,976,014,669,153,
065,297,232,200,376,149,168,133,249,517,665,250,378,302,486,512,776,347,620,
297,222,331,687,482,911,083,994,311,883,917,880,375,779,130,802,415,679,770,
159,746,743,801,461,892,231,032,809,171,001,125,749,235,989,741,281,685,467,
354,970,082,256,970,736,968,498,324,387,722,544,426,347,772,377,841,048,186,
146,872,876,677,909,154,851,192,402,905,088,398,657,811,939,003,771,615,146,
876,396,771,110,022,527,904,375,622,692,064,603,697,409,398,717,863,823,270,
299,510,573,748,049,118,106,613,208,026,615,311,655,560,733,921,574,603,771,
347,858,032,413,757,202,366,453,453,125,281,865,376,397,757,814,314,490,382,
879,047,102,872,215,939,292,425,994,653,622,654,704,554,455,536,521,051,083,
642,146,442,738,154,632,052,035,251,571,931,345,503,784,129,684,466,289,407,
284,441,079,634,148,851,307,179,724,472,786,942,814,807,376,129,288,247,291,
816,916,559,958,737,617,232,008,268,261,424,508,238,398,668,755,992,313,955,
900,929,997,180,832,288,127,414,049,561,438,233,086,156,419,409,971,604,731,
463,354,014,446,183,763,909,543,512,733,857,375,351,122,969,529,811,142,397,
368,276,472,157,500,765,566,496,737,598,179,894,201,894,890,814,670,291,760,
369,077,580,659,565,040,736,253,638,327,190,596,569,695,104,217,680,902,600,
752,531,189,532,249,455,160,904,899,958,553,014,716,479,748,005,399,841,969,
879,327,682,109,683,798,301,147,458,381,440,207,034,759,369,229,408,814,068,
529,727,985,994,130,029,731,737,486,787,098,698,701,649,019,906,143,703,854,
354,982,365,142,720,088,241,481,435,245,051,627,824,345,545,016,023,261,557,
684,602,701,517,059,667,428,752,213,880,195,824,316,192,987,606,948,901,540,
041,725,057,104,690,224,604,926,583,709,052,087,275,088,205,620,649,188,399,
277,521,496,728,731,499,788,470,815,742,649,278,218,778,264,543,506,824,403,
040,809,858,148,925,942,447,397,942,709,469,134,681,010,545,028,187,897,719,
243,215,736,961,114,589,988,990,000,666,619,000,977,593,118,658,273,104,507,
992,910,462,140,878,610,462,631,726,905,087,567,497,461,110,452,604,492,449,
756,655,314,448,535,811,678,576,100,418,400,347,558,803,252,301,115,605,658,
437,273,334,737,495,455,550,658,817,268,143,722,319,761,269,806,502,538,656,
802,619,721,973,068,602,834,702,232,089,816,526,801,064,228,153,517,273,729,
359,826,093,347,994,458,697,807,215,338,296,445,120,815,534,449,418,890,349,
080,877,971,084,085,590,526,002,094,981,666,692,956,007,561,415,433,767,331,
897,265,394,627,810,762,391,131,277,508,063,846,518,300,879,335,071,552,682,
181,236,071,564,503,987,470,041,061,363,304,663,846,872,847,642,990,687,734,
619,937,304,758,229,379,121,628,090,939,762,240,271,392,618,430,627,762,822,
463,804,993,047,269,555,570,734,371,073,338,812,668,837,421,880,570,589,099,
171,593,833,539,593,040,178,632,201,067,113,814,295,037,718,457,987,397,004,
383,934,208,423,167,292,298,054,164,587,288,483,793,634,430,996,436,616,021,
712,436,434,529,149,144,169,968,439,963,778,069,354,124,984,338,308,805,775,
385,989,377,981,375,241,455,556,452,908,821,126,273,055,082,469,583,977,756,
964,882,863,717,646,865,979,768,249,273,905,555,483,201,938,904,208,786,314,
128,233,321,556,677,821,931,716,497,067,131,702,496,720,774,638,265,779,501,
351,137,100,493,778,902,030,094,572,846,843,990,802,833,028,629,534,254,370,
068,152,301,082,341,330,466,729,626,076,235,205,231,484,312,130,010,391,408,
405,670,588,468,925,768,255,345,350,078,393,835,410,724,019,855,113,459,971,
297,408,468,050,411,121,618,380,852,571,978,072,065,486,575,115,206,542,221,
735,783,885,689,542,386,632,158,139,819,175,383,983,023,549,091,062,909,548,
715,599,262,687,570,679,016,532,575,189,511,344,713,219,800,346,658,510,553,
923,739,461,357,199,885,201,176,101,186,175,486,348,894,986,620,324,556,349,
499,469,767,604,772,209,654,217,057,172,077,966,828,989,973,210,433,656,361,
979,283,531,630,662,932,265,112,421,778,850,538,883,241,611,762,262,524,544,
267,464,796,730,264,723,985,502,011,674,805,547,049,924,786,377,586,373,642,
997,179,350,722,485,674,735,435,429,514,247,521,246,897,364,361,928,588,674,
651,003,441,833,000,631,420,153,267,833,434,883,253,621,259,103,204,134,747,
464,305,752,712,293,148,956,400,217,341,036,187,787,172,425,676,424,664,252,
847,406,821,180,514,402,288,094,291,219,214,817,978,947,678,408,898,594,211,
786,009,590,190,334,103,724,592,288,453,426,353,468,421,445,321,989,406,163,
885,573,328,288,135,955,474,000,077,764,273,018,061,579,475,371,083,441,217,
972,809,562,362,172,968,535,993,331,473,392,774,560,010,737,758,761,350,027,
637,804,093,489,170,267,177,396,071,518,157,024,277,498,253,185,091,260,912,
448,078,985,448,200,698,864,549,604,399,999,988,852,152,678,194,855,193,722,
189,653,616,971,826,924,136,237,880,457,628,200,614,386,921,837,978,475,209,
748,356,143,439,563,145,261,242,039,634,112,452,597,744,474,381,084,214,225,
041,216,202,079,841,985,174,519,669,300,978,150,816,891,383,847,317,124,758,
069,379,353,279,636,753,141,320,792,085,893,536,240,171,607,624,724,835,597,
342,376,332,933,623,345,995,326,545,892,979,992,215,528,181,854,060,296,517,
218,063,528,330,801,625,728,067,426,447,340,682,073,237,158,535,448,009,585,
414,332,282,852,269,414,977,185,766,399,227,479,393,142,725,045,315,481,035,
848,024,541,653,468,245,455,671,289,837,325,194,492,491,932,124,659,015,647,
918,619,402,584,747,734,269,927,986,561,394,110,782,840,181,208,098,976,142,
409,804,953,351,362,316,706,747,484,834,338,944,676,995,308,981,974,766,354,
401,358,732,975,144,873,426,176,634,215,954,355,067,742,427,284,589,275,830,
079,605,871,343,536,700,619,482,872,400,549,549,135,695,932,747,535,999,387,
782,684,269,044,253,973,581,403,424,581,041,831,064,626,369,735,390,448,191,
211,649,408,327,614,671,046,713,290,807,539,863,906,989,973,947,969,909,354,
732,388,643,194,645,732,998,387,268,390,603,000,195,786,835,469,544,885,951,
240,008,734,412,792,786,945,775,887,897,085,603,043,145,011,455,872,127,229,
241,496,616,343,853,506,063,218,305,872,277,230,533,580,351,169,770,669,209,
821,505,622,097,051,546,243,507,003,864,048,933,227,148,913,307,879,479,502,
584,015,291,945,669,944,436,743,530,383,738,780,789,854,224,952,111,962,719,
829,469,432,813,455,820,085,073,752,416,658,444,051,302,516,957,553,040,281,
890,945,809,082,628,365,355,403,892,577,024,808,202,907,727,748,964,259,241,
036,776,841,541,048,819,693,943,731,049,635,887,659,724,866,802,817,896,732,
557,089,875,492,427,589,365,635,098,935,690,140,203,422,472,792,819,273,801,
506,346,664,150,820,880,321,353,443,259,691,379,374,191,493,313,502,116,949,
473,635,650,646,805,051,333,751,633,114,472,008,496,030,521,526,267,406,558,
325,691,488,998,987,102,717,226,652,600,343,847,015,192,048,815,211,199,378,
875,372,442,281,311,827,583,603,545,945,118,748,480,263,772,345,590,005,577,
290,046,147,263,902,274,139,249,841,857,592,191,612,800,569,469,864,880,873,
386,951,437,410,053,605,428,709,567,179,006,400,598,245,919,274,592,799,525,
929,981,561,024,272,400,946,326,014,802,472,470,135,331,887,680,795,175,589,
389,800,769,508,822,994,914,516,985,776,507,940,237,140,833,179,050,040,442,
811,408,636,355,679,884,912,656,338,158,072,572,331,696,265,940,189,418,069,
201,361,707,073,930,362,456,658,566,188,970,147,024,228,300,756,726,943,446,
523,423,641,576,887,102,015,506,714,190,101,135,852,130,029,877,529,740,002,
680,070,320,225,518,401,049,206,528,385,981,091,517,887,255,864,677,279,894,
707,655,084,226,828,319,702,589,863,222,117,335,038,795,780,488,014,628,247,
111,868,204,430,871,502,754,531,944,315,168,624,937,663,044,648,252,563,585,
279,813,474,416,802,735,373,146,242,838,732,465,761,937,236,557,064,721,271,
161,580,447,739,628,012,859,940,245,876,275,017,762,081,629,973,411,521,795,
064,352,538,189,269,231,776,205,223,588,991,870,579,610,959,951,593,187,354,
871,628,337,328,014,289,533,990,468,518,361,462,672,966,247,816,409,041,749,
550,058,780,635,853,059,276,510,994,240,306,640,393,125,563,073,661,161,170,
908,977,341,502,377,687,309,784,038,949,312,167,622,627,089,163,644,051,736,
357,934,414,021,257,616,280,721,705,677,468,498,415,644,204,697,287,927,912,
873,174,925,081,370,754,888,468,923,161,667,483,888,817,695,676,684,695,951,
619,544,951,113,911,750,193,617,128,008,256,857,058,696,343,102,131,207,913,
479,596,569,385,046,457,734,628,597,776,338,892,194,250,609,790,098,043,072,
438,496,173,989,916,886,556,948,272,067,614,025,439,423,072,584,648,061,267,
323,909,918,955,843,977,303,362,935,341,066,812,987,507,926,286,716,402,691,
494,436,408,702,750,025,177,533,809,778,764,775,533,133,730,305,227,843,698,
831,031,619,665,442,230,229,068,934,770,144,402,491,097,129,335,957,549,372,
566,017,933,979,106,066,485,449,152,633,644,865,288,950,748,570,715,929,430,
554,823,775,818,344,693,029,113,121,003,957,505,653,874,042,212,880,358,512,
882,583,496,698,781,926,759,721,843,749,607,738,133,229,482,859,837,874,697,
651,526,306,783,901,993,973,930,648,322,792,660,228,900,277,944,250,975,862,
575,766,526,855,795,199,471,524,249,359,878,181,936,782,249,837,872,887,681,
752,646,879,747,122,255,142,434,214,933,007,235,624,942,276,632,083,662,134,
878,888,622,127,017,624,525,118,021,689,007,875,220,923,865,057,452,533,117,
807,465,653,415,927,690,137,580,792,990,481,912,133,857,262,588,688,862,686,
138,220,761,127,186,747,047,067,952,746,335,309,549,101,153,522,449,842,376,
432,002,791,235,276,449,323,084,037,177,696,861,308,642,122,750,685,736,801,
978,905,512,878,316,825,749,489,951,020,724,616,388,209,703,521,271,857,184,
661,337,712,939,871,092,061,649,381,573,902,227,355,100,334,438,156,275,965,
929,109,797,132,596,237,704,877,036,505,385,196,868,195,731,901,892,111,325,
484,863,543,488,280,309,969,857,830,763,432,238,203,121,897,853,654,905,496,
568,800,890,959,512,049,782,581,985,058,356,433,237,011,402,770,269,146,267,
764,084,137,605,424,093,829,538,904,275,549,910,749,029,481,531,050,260,669,
053,293,739,737,726,374,657,878,978,932,160,815,642,969,976,803,733,342,534,
056,339,786,542,880,100,770,826,086,678,406,800,305,992,901,661,064,750,966,
369,096,421,646,059,628,520,944,674,628,438,338,323,359,014,766,619,101,844,
835,142,205,151,105,977,139,307,131,119,142,113,178,201,142,717,936,112,180,
745,632,179,712,800,713,345,591,853,653,035,490,030,744,660,833,455,790,803,
329,722,998,585,942,017,846,737,611,823,624,552,794,804,767,676,464,362,160,
871,490,601,459,344,092,693,514,294,330,216,406,320,842,074,930,425,886,030,
541,337,454,086,521,258,197,118,482,089,092,636,395,471,067,701,642,496,810,
529,489,212,141,437,108,144,837,101,726,958,421,005,932,252,214,435,078,087,
129,650,617,035,677,233,411,065,824,890,106,870,727,405,745,058,568,282,366,
485,360,819,910,942,232,690,320,118,349,403,469,308,517,435,615,673,637,249,
240,153,728,948,305,765,048,619,325,388,475,763,178,593,131,502,891,689,034,
632,310,103,223,301,261,600,120,462,470,963,480,330,040,706,742,175,510,181,
876,019,866,191,739,024,232,489,237,457,352,870,047,482,376,466,865,162,250,
053,442,298,232,001,267,710,707,974,901,383,247,941,856,848,242,264,407,705,
290,250,511,270,724,868,234,488,579,640,678,863,770,947,941,151,506,160,455,
739,977,798,059,914,045,827,571,033,999,066,065,625,787,389,057,892,369,833,
884,254,505,942,900,240,630,166,671,903,820,228,423,764,155,870,238,187,653,
776,821,992,361,335,296,091,451,744,479,519,832,245,356,091,385,945,962,545,
876,823,804,965,258,340,684,690,397,039,570,525,905,900,695,220,100,297,411,
325,691,036,217,886,755,892,349,151,636,863,543,150,823,349,801,668,426,573,
517,860,770,509,869,360,552,872,006,728,136,982,660,167,000,627,739,049,142,
702,571,355,606,111,390,396,460,870,100,025,037,725,693,562,261,253,978,670,
696,623,341,911,781,424,272,302,105,577,007,355,461,718,117,553,525,604,845,
255,692,067,269,958,259,322,912,945,667,257,784,254,260,818,382,091,102,679,
613,932,786,699,239,385,200,727,165,021,084,050,051,442,250,142,694,251,713,
592,878,856,737,652,979,907,298,261,929,210,883,216,810,106,261,833,809,655,
138,503,758,795,369,753,931,663,933,017,186,132,024,348,917,973,911,212,061,
364,120,940,075,534,622,850,656,161,233,069,261,923,027,381,197,286,247,593,
988,506,432,542,649,242,306,285,719,558,848,096,339,009,608,671,409,070,077,
491,451,302,354,633,477,201,000,708,621,482,317,839,604,992,150,176,772,265,
630,387,147,188,493,331,346,550,381,013,018,883,742,202,319,546,271,772,736,
327,412,656,473,135,122,904,879,098,620,212,339,733,400,721,948,067,745,744,
306,184,393,568,565,987,365,513,296,146,470,709,816,194,031,215,178,664,962,
249,118,694,940,865,170,052,089,760,476,790,164,105,255,122,786,054,386,081,
723,829,053,541,489,575,301,092,632,286,785,410,670,311,771,430,818,064,430,
831,685,582,569,646,014,065,656,985,363,513,903,403,772,645,904,847,708,181,
575,920,730,475,906,612,491,510,875,548,419,672,000,066,757,146,474,719,980,
749,878,326,225,202,622,653,380,077,275,902,885,464,112,715,014,123,853,205,
167,118,321,688,355,223,846,313,292,867,192,723,107,344,804,529,698,185,389,
307,795,262,935,995,691,612,219,546,430,367,039,460,553,133,548,884,342,576,
145,747,523,064,869,754,276,917,468,408,870,830,298,292,908,334,844,871,966,
633,550,616,880,934,275,483,391,426,237,293,050,155,239,483,599,848,042,529,
147,222,684,368,185,582,178,364,560,864,928,108,468,607,112,533,213,764,382,
108,532,316,316,912,001,226,733,155,441,228,498,773,319,047,343,523,482,458,
544,535,506,591,021,070,263,610,160,022,077,473,017,805,591,667,058,905,514,
497,345,047,040,918,467,010,263,620,806,236,257,601,688,813,955,138,390,687,
690,007,567,103,034,387,675,555,521,116,325,208,272,785,119,723,531,032,918,
725,411,546,400,505,435,293,790,335,321,338,562,089,122,967,501,227,391,007,
667,736,681,709,153,793,083,947,684,922,120,548,581,351,806,961,123,177,058,
341,475,341,514,378,405,063,329,920,510,112,778,766,549,500,387,017,995,355,
099,912,587,567,023,958,592,347,315,421,970,628,934,695,453,199,951,941,548,
930,258,817,510,035,161,548,327,464,768,291,231,255,349,656,790,243,569,544,
051,025,957,046,824,375,657,514,276,282,416,532,824,170,458,438,218,516,310,
911,271,245,723,983,039,614,774,867,607,085,334,689,383,603,950,024,010,146,
251,606,441,653,213,936,680,778,921,964,572,542,826,389,394,008,759,817,014,
682,440,211,789,668,340,274,915,660,666,611,904,726,251,764,731,623,256,154,
384,676,042,024,885,877,402,718,645,438,811,431,210,265,800,930,880,471,124,
715,548,366,889,035,376,307,060,069,344,241,386,353,656,893,405,208,313,954,
145,982,509,069,726,490,963,148,097,739,891,775,860,353,769,015,470,789,473,
061,781,742,749,871,698,538,565,172,423,102,997,934,218,285,671,268,306,676,
011,391,522,004,692,150,402,577,173,252,076,039,472,409,288,645,387,998,356,
136,333,111,960,585,939,555,616,897,399,133,299,914,247,080,794,802,130,853,
551,404,797,399,613,574,892,351,944,701,025,825,264,163,389,115,711,481,908,
527,047,957,980,717,827,533,499,065,479,777,489,560,330,003,644,403,277,238,
395,896,439,385,355,716,308,699,117,215,927,289,433,763,350,155,858,340,045,
643,608,101,240,446,372,470,724,454,696,034,489,460,993,895,690,364,530,380,
631,476,314,353,173,637,693,559,237,794,126,863,665,561,102,408,582,812,990,
193,164,862,019,801,899,846,196,792,031,475,999,755,469,313,107,604,566,580,
839,409,949,834,614,428,753,068,921,781,130,904,373,440,489,808,051,232,093,
445,206,041,468,544,208,687,285,115,227,794,393,047,908,009,702,449,599,930,
035,699,367,399,276,453,056,943,738,342,965,368,837,340,899,455,638,505,480,
751,885,711,668,771,567,830,320,517,343,124,047,177,251,328,759,159,037,991,
098,873,398,403,108,764,892,218,964,101,477,710,121,709,167,748,776,630,708,
174,565,646,832,428,118,096,600,954,157,299,775,665,264,919,316,585,219,200,
009,564,912,372,416,025,219,312,219,952,296,486,048,788,113,630,806,797,574,
023,181,179,192,760,947,562,769,796,755,761,134,684,453,309,555,459,603,214,
696,929,266,249,419,545,586,657,019,788,435,810,628,351,864,249,777,821,193,
348,134,134,285,009,884,472,058,402,783,216,542,533,114,899,531,892,031,131,
737,229,110,207,990,505,774,101,567,333,894,645,716,639,010,439,246,414,898,
574,163,206,057,613,946,572,508,515,139,660,900,262,059,422,483,055,175,637,
856,744,315,663,246,005,887,212,163,826,053,689,424,020,165,868,658,908,785,
140,849,482,674,799,321,177,932,200,971,256,451,428,397,131,502,275,878,531,
184,604,967,733,180,535,956,984,103,101,491,483,033,410,727,788,170,164,565,
570,971,612,756,745,376,931,797,044,101,813,854,508,988,016,527,017,016,227,
256,301,566,860,327,524,548,209,884,693,539,653,357,115,465,406,096,197,782,
369,044,606,040,598,011,001,341,222,843,606,928,166,275,082,415,182,327,356,
758,441,350,860,090,105,871,490,586,443,101,439,329,050,863,698,210,513,860,
114,114,468,109,552,402,436,986,047,056,705,483,992,402,618,475,976,019,731,
355,370,585,818,726,573,114,632,250,089,268,392,100,873,611,104,505,345,346,
676,062,193,345,395,114,877,469,571,811,653,780,166,088,644,767,695,421,433,
379,839,216,835,920,347,470,626,897,509,889,546,507,999,033,743,894,822,590,
162,577,749,848,067,960,888,640,989,766,311,376,024,305,258,363,969,602,988,
955,214,183,014,334,542,870,543,212,641,942,622,665,620,813,053,924,252,290,
367,872,881,262,478,029,521,066,795,709,470,265,599,868,933,650,510,793,288,
958,853,977,723,954,763,393,214,996,306,280,750,583,697,485,268,697,837,512,
559,525,999,877,966,731,565,089,313,642,511,111,804,680,889,882,860,630,995,
253,801,327,106,270,565,364,597,658,816,905,991,628,977,256,710,434,686,845,
948,371,682,385,948,232,092,832,631,868,334,309,336,979,617,941,284,607,064,
473,354,831,824,999,616,877,642,957,925,597,275,409,563,430,279,042,202,704,
223,453,235,161,628,508,352,719,889,914,021,399,741,523,527,123,605,675,329,
767,863,293,879,053,519,238,812,325,316,876,358,161,920,888,890,438,341,716,
172,341,006,459,014,300,050,207,934,453,090,711,492,779,506,724,347,134,871,
735,528,678,816,126,651,384,807,106,016,879,171,924,708,038,404,287,540,417,
073,880,890,655,479,229,283,197,490,900,733,529,578,980,139,507,695,134,671,
864,467,391,156,067,088,133,907,651,731,459,973,742,261,243,549,833,376,022,
783,677,983,840,176,912,199,816,172,579,244,935,102,894,384,101,804,303,619,
197,645,223,324,340,738,569,461,453,728,764,632,182,157,641,376,963,491,940,
312,290,949,791,637,933,272,432,680,854,619,928,609,424,481,326,398,165,251,
701,052,245,328,380,091,267,564,233,790,145,773,076,126,596,278,429,555,476,
787,831,874,929,515,506,133,437,332,103,448,161,251,963,734,400,247,614,175,
250,459,094,661,354,087,214,735,036,207,514,685,007,326,478,212,932,439,802,
545,756,296,171,190,146,334,599,132,920,947,376,010,164,408,146,237,463,417,
305,595,066,560,982,965,529,577,967,814,594,215,510,547,233,587,001,820,331,
274,288,932,266,759,615,710,323,309,185,279,961,225,514,167,789,502,523,958,
615,777,860,441,499,386,578,830,489,462,023,130,691,691,519,350,875,361,931,
295,958,584,636,423,082,786,191,093,469,126,212,732,020,435,424,500,275,786,
284,148,462,222,240,315,393,157,545,400,092,783,445,674,366,610,479,622,740,
996,180,237,173,393,735,377,502,968,746,471,978,917,322,183,889,560,232,894,
709,322,879,469,277,085,287,984,157,585,921,756,735,023,553,796,191,468,519,
480,971,570,454,878,954,521,210,828,768,689,419,311,374,982,449,257,229,854,
688,324,134,398,074,780,266,505,909,884,413,291,895,750,107,556,569,642,831,
440,478,744,649,300,024,674,699,551,235,768,303,746,342,864,649,020,684,590,
867,162,705,796,759,383,090,964,473,685,121,027,020,407,104,588,590,768,352,
247,320,627,225,773,718,986,864,306,677,777,088,602,386,871,877,635,038,820,
049,646,299,662,210,644,401,685,062,082,153,005,461,218,626,641,769,596,873,
986,042,741,611,783,809,030,361,539,367,038,630,729,856,977,717,752,591,163,
551,316,901,009,101,645,990,489,134,008,830,806,695,448,365,251,863,344,972,
568,479,273,223,321,665,001,943,816,014,765,780,158,814,775,043,531,777,953,
207,900,280,993,144,170,585,101,012,717,182,916,661,111,425,251,688,724,252,
608,499,877,426,663,738,947,661,516,819,894,824,065,925,120,295,015,700,133,
127,870,014,835,145,087,592,251,398,658,857,111,044,709,922,936,828,394,097,
821,256,278,115,458,245,633,371,514,670,005,189,768,390,577,955,376,036,719,
610,780,904,814,364,374,110,841,049,916,180,448,802,436,929,982,942,578,048,
063,395,084,454,795,847,745,948,199,427,526,586,199,900,934,302,654,595,676,
471,614,087,804,366,269,723,586,061,664,825,618,115,810,253,049,267,733,968,
138,774,862,377,184,601,582,563,380,821,172,355,434,151,587,862,108,952,331,
308,918,080,851,939,325,275,085,840,719,819,822,486,601,685,027,931,915,223,
902,421,815,692,247,659,007,836,432,386,472,245,015,005,999,457,289,851,808,
094,941,367,218,929,043,294,136,527,703,946,592,082,459,073,714,894,599,309,
111,875,151,205,510,796,919,210,501,938,069,168,529,249,230,448,876,505,942,
400,081,908,758,143,502,667,993,393,480,410,469,607,305,510,322,033,025,946,
004,013,704,919,467,008,049,028,963,101,814,652,668,775,177,564,775,346,655,
485,660,057,515,084,155,373,355,888,686,179,265,252,768,633,625,059,274,602,
453,231,788,950,287,204,200,488,200,111,820,164,039,193,850,710,670,526,933,
793,505,640,568,862,384,137,242,382,282,404,985,421,683,030,219,865,270,938,
302,442,294,836,180,180,362,999,527,569,959,786,831,990,895,013,703,530,152,
863,360,109,795,872,199,848,218,713,653,003,893,702,889,430,179,451,218,494,
578,119,624,550,554,341,864,153,566,590,454,966,417,883,442,482,827,236,466,
310,096,727,401,763,130,763,470,815,667,110,739,765,742,341,582,478,536,690,
577,405,453,162,159,781,056,805,415,483,069,899,350,582,139,975,546,059,643,
787,886,198,651,062,154,081,524,579,346,196,439,533,058,529,950,700,192,278,
958,330,807,984,170,170,109,870,393,596,576,248,226,923,957,135,588,121,438,
129,684,762,934,961,775,352,173,163,833,471,365,945,250,919,936,480,773,255,
237,528,924,794,185,283,755,874,720,703,283,624,751,290,540,928,559,287,965,
446,774,784,588,578,068,114,248,516,485,474,884,959,065,856,478,280,748,798,
711,706,766,720,597,143,215,763,160,438,058,208,845,214,958,187,150,775,957,
062,192,262,278,407,942,065,626,938,210,233,143,321,934,972,367,973,062,124,
615,509,362,415,073,371,321,565,085,723,255,474,604,147,602,966,740,666,966,
151,699,268,608,003,993,229,882,226,492,248,504,242,686,863,142,441,030,456,
845,898,101,572,237,220,093,445,831,710,980,387,650,241,317,150,372,860,188,
267,643,566,083,294,025,221,756,803,132,326,401,894,581,543,786,684,136,333,
456,690,153,984,492,428,024,180,678,500,837,640,120,186,705,643,116,543,240,
220,016,651,566,720,229,569,333,518,100,929,954,606,905,493,541,291,416,225,
426,738,635,816,330,920,392,818,783,763,920,794,158,939,391,796,283,545,156,
794,164,235,490,066,222,382,805,525,434,644,305,605,675,526,704,193,817,600,
598,109,388,801,189,866,201,788,012,042,442,448,419,594,671,443,267,646,421,
250,384,978,817,873,805,085,392,264,624,510,955,613,026,992,337,130,036,771,
181,804,802,408,488,438,489,593,707,633,210,722,647,966,088,744,660,123,920,
387,374,076,494,011,127,262,560,436,596,824,024,675,588,496,732,829,782,258,
449,877,623,902,445,005,720,706,650,056,805,422,726,196,870,116,232,845,580,
142,106,927,285,205,863,265,024,987,905,176,352,011,315,352,367,808,425,792,
653,739,445,923,144,407,289,981,876,616,008,472,369,227,190,648,236,398,132,
230,210,978,681,358,399,123,598,284,953,693,829,630,223,785,342,160,902,962,
128,821,051,647,081,145,988,829,310,820,192,969,571,643,216,114,417,987,381,
046,913,942,599,459,137,182,956,385,766,073,301,186,562,335,836,726,380,178,
791,211,552,204,410,482,906,637,552,019,031,196,996,563,153,945,833,822,976,
541,742,799,458,628,004,722,664,263,038,834,152,569,466,991,041,539,410,420,
434,268,443,204,751,926,889,510,263,615,519,267,028,908,408,881,718,109,477,
506,519,868,112,048,893,453,875,078,008,911,955,684,008,925,809,568,734,416,
322,222,357,877,933,469,428,775,478,817,168,553,440,312,961,889,496,126,607,
285,066,771,726,128,694,984,679,547,724,701,276,445,416,104,694,563,194,701,
911,020,975,431,242,099,435,692,667,712,356,641,679,073,244,878,789,679,202,
141,689,125,706,573,273,434,845,554,220,212,182,353,559,409,026,644,044,191,
609,266,058,197,955,496,294,216,842,331,412,505,989,805,411,379,286,344,751,
312,751,162,189,552,812,125,060,721,201,231,578,136,787,502,852,144,157,847,
611,384,333,709,491,291,936,104,085,269,747,677,564,821,763,949,425,695,347,
887,891,596,667,018,477,666,199,381,960,998,714,466,491,584,567,622,255,537,
143,851,925,108,697,629,251,818,678,644,914,781,326,045,034,498,945,787,539,
303,776,054,778,430,035,633,457,336,836,984,669,265,145,590,588,958,052,557,
638,067,483,072,564,834,385,254,016,249,061,329,006,899,719,077,736,313,139,
510,201,640,183,234,200,387,887,762,353,381,969,285,200,479,168,721,103,852,
117,163,746,711,315,061,850,446,592,772,551,133,734,923,456,054,753,098,344,
511,586,306,621,150,709,611,947,591,975,138,900,908,773,412,361,287,201,451,
008,510,970,871,909,587,649,473,587,948,882,631,707,989,227,643,905,403,858,
464,407,385,785,372,887,224,793,343,322,112,581,383,128,026,559,707,457,638,
612,756,425,003,415,281,097,853,748,118,992,173,929,763,140,248,243,693,454,
500,158,593,254,937,297,926,585,600,544,776,836,643,659,631,623,232,323,253,
777,252,217,425,511,703,416,654,079,105,678,606,765,460,669,793,322,264,225,
424,060,183,354,156,738,733,688,036,010,507,062,370,353,434,138,054,907,352,
220,158,954,118,123,305,225,466,222,222,046,347,585,053,433,717,190,841,729,
975,924,268,814,667,915,710,993,100,123,981,052,691,090,950,718,163,591,027,
785,862,142,924,009,908,162,260,547,671,342,731,453,415,399,099,808,669,736,
539,285,445,396,629,828,786,535,834,930,126,187,554,172,260,213,541,008,904,
283,407,596,696,408,877,712,497,529,944,528,753,475,276,981,486,778,030,311,
623,532,216,892,312,752,747,052,063,063,347,107,725,144,902,522,088,293,716,
338,413,791,913,087,216,189,250,264,287,787,001,456,041,136,476,432,553,181,
397,760,879,122,285,624,389,294,478,224,215,720,298,000,681,665,520,490,465,
669,983,843,638,043,413,112,845,916,786,274,363,141,719,862,619,589,354,603,
813,881,430,609,132,635,324,036,254,400,997,196,399,224,122,996,457,696,656,
304,809,148,927,426,055,112,993,343,033,108,594,518,436,050,937,279,964,052,
599,544,617,559,858,716,272,876,040,532,675,355,253,838,096,073,001,577,012,
048,393,629,571,805,665,291,410,145,589,180,574,514,573,899,597,033,306,772,
944,663,552,506,490,966,683,588,949,037,478,942,092,386,980,382,160,564,220,
984,191,162,161,738,286,716,446,516,312,197,352,366,511,783,512,356,026,012,
421,482,008,745,681,771,687,844,917,183,455,002,260,022,534,104,991,717,392,
824,214,108,354,693,361,708,670,426,355,443,692,704,355,269,044,184,677,676,
378,245,405,897,437,637,762,407,778,639,058,227,459,016,642,701,124,636,479,
620,804,140,070,516,561,687,101,930,943,761,698,632,777,437,453,403,005,427,
294,567,208,849,810,015,707,715,249,428,891,931,138,953,923,787,087,655,982,
910,384,408,980,995,211,750,415,274,255,754,797,465,474,763,412,829,450,489,
158,081,332,945,994,446,918,632,529,214,494,296,818,746,448,837,470,554,610,
323,683,431,489,615,059,167,966,824,813,244,794,947,450,772,350,815,647,985,
902,240,043,966,667,069,247,509,170,925,443,673,068,480,954,431,953,582,701,
085,078,041,501,235,044,185,756,248,113,740,799,136,572,491,879,732,044,198,
619,693,972,830,236,824,115,696,652,875,464,164,219,722,467,704,254,047,713,
141,751,044,558,283,014,105,468,957,339,153,450,458,392,528,223,696,860,774,
385,632,990,477,692,938,343,219,649,931,706,111,866,410,158,654,746,857,390,
515,119,888,877,655,186,381,602,074,831,183,728,856,555,822,185,205,363,758,
696,780,523,911,540,247,981,195,052,564,585,453,158,485,014,186,536,178,022,
252,318,348,575,104,219,809,950,809,996,562,580,111,757,073,767,951,473,109,
791,412,837,047,687,378,535,607,081,177,977,837,563,783,570,367,046,462,059,
312,116,775,437,547,757,999,074,072,551,912,837,487,535,075,739,020,010,931,
900,720,005,268,498,070,661,657,292,370,667,825,898,895,975,227,156,573,201,
254,009,638,862,450,945,877,345,461,487,643,456,226,087,133,766,813,067,900,
712,426,057,714,915,270,477,964,749,990,245,668,833,437,673,344,215,253,141,
761,278,186,952,593,948,366,562,386,286,248,749,004,896,530,889,157,088,654,
133,463,715,372,128,015,497,644,898,123,069,278,607,912,728,276,395,558,502,
278,823,623,812,958,118,364,471,213,231,250,433,755,489,521,057,576,389,488,
894,217,741,283,105,734,009,540,316,253,556,970,230,581,086,694,196,358,073,
288,651,348,207,136,442,683,927,033,935,239,720,385,629,272,258,392,095,090,
542,481,133,098,820,370,953,377,380,543,567,471,491,287,044,802,974,291,282,
342,803,288,744,939,673,741,497,489,375,806,601,689,059,405,086,907,423,168,
659,486,656,219,403,746,197,157,623,340,659,492,261,298,544,174,609,741,148,
553,264,604,797,268,986,518,035,536,409,524,891,028,293,021,828,338,765,012,
812,158,071,347,857,531,458,312,214,202,962,708,130,867,718,511,091,632,690,
322,825,979,930,842,481,510,598,799,596,320,661,833,027,717,119,200,565,236,
860,527,474,618,658,691,778,768,955,542,708,718,993,196,489,012,752,957,051,
541,798,446,651,614,639,541,551,685,080,688,781,874,651,398,512,442,653,537,
132,200,383,416,301,675,823,701,730,255,892,349,693,105,040,763,423,727,668,
840,042,659,998,564,320,032,793,751,966,917,393,523,098,178,707,098,599,526,
693,429,230,160,788,460,683,506,914,445,246,494,608,527,147,795,478,317,572,
260,578,208,806,555,815,284,988,326,138,193,936,196,391,000,909,201,594,010,
875,682,805,902,116,690,454,091,979,373,378,646,508,213,478,907,410,099,936,
601,434,489,062,570,091,556,358,120,759,392,962,832,916,620,301,912,328,388,
231,238,688,090,624,033,409,746,801,080,446,772,661,948,449,880,661,044,240,
231,689,381,583,212,544,196,615,079,065,134,090,545,854,444,433,209,864,182,
178,685,244,321,212,897,652,948,347,463,193,163,733,954,645,187,722,012,275,
226,898,393,988,509,409,751,247,192,440,565,512,806,145,182,602,570,897,897,
374,963,995,022,508,352,092,673,884,448,415,673,384,391,734,190,929,308,283,
302,798,464,980,459,885,398,941,614,450,870,968,245,597,120,281,971,605,963,
799,388,917,200,997,572,170,365,723,152,696,891,363,945,865,327,935,917,960,
231,877,327,647,503,475,047,121,021,611,865,264,562,188,883,181,934,423,470,
366,413,930,769,562,185,848,867,230,440,095,353,290,483,616,166,974,008,646,
489,238,760,333,590,610,193,420,455,715,721,413,477,562,502,046,409,555,282,
064,450,406,164,816,022,123,041,222,956,222,043,512,890,013,076,774,458,118,
396,663,011,042,287,354,562,362,320,304,416,597,836,171,771,893,737,819,338,
447,178,791,943,607,947,599,061,192,461,691,170,547,123,283,545,119,257,726,
480,511,947,865,185,425,943,841,436,357,042,099,096,129,086,940,709,609,424,
689,846,182,824,600,721,073,158,246,239,033,401,987,289,394,188,280,104,422,
892,793,890,481,123,323,456,767,222,346,921,320,420,311,259,318,706,709,782,
790,641,877,144,435,830,066,584,872,705,127,295,132,800,100,459,619,824,605,
913,455,650,212,653,949,781,906,867,990,343,258,184,608,637,964,033,963,473,
625,354,550,259,547,725,575,346,527,052,101,423,745,655,532,195,017,520,526,
636,944,874,057,567,185,523,587,073,723,684,645,252,629,401,470,646,492,624,
984,411,312,344,304,314,105,015,251,540,557,315,415,177,563,374,644,313,575,
045,180,671,745,239,628,619,671,097,032,439,089,063,742,909,075,877,339,282,
542,561,477,235,325,865,190,990,878,476,342,636,519,393,006,421,880,458,387,
614,989,393,199,516,241,555,601,556,953,095,898,734,818,476,260,049,976,326,
020,161,163,887,723,877,167,986,291,320,362,939,829,002,559,258,632,367,742,
773,589,654,699,890,147,680,035,559,945,426,474,081,533,297,583,431,432,980,
418,065,393,757,859,776,881,671,917,605,000,867,246,955,155,738,771,072,014,
086,461,263,749,590,414,834,136,404,415,384,791,528,915,078,245,815,528,315,
953,834,180,351,898,327,857,993,030,579,011,801,659,775,353,801,823,126,550,
773,976,395,369,429,467,483,889,553,811,036,892,849,181,985,162,941,068,252,
134,437,002,414,282,359,292,622,365,808,453,410,581,633,858,801,777,639,653,
706,167,334,022,641,403,175,288,406,631,618,271,290,176,318,077,839,971,436,
844,060,854,917,079,628,188,214,352,201,697,959,617,389,917,751,783,748,587,
285,979,614,512,143,253,912,469,001,392,571,253,360,528,477,344,559,943,171,
219,324,467,025,011,670,342,234,264,785,496,878,355,757,468,681,974,883,918,
521,237,978,352,936,008,458,108,827,658,516,557,466,885,111,511,348,176,438,
853,242,403,542,104,360,224,851,152,985,496,869,755,987,819,782,619,255,399,
439,008,667,824,088,798,325,795,043,083,929,094,187,774,966,398,158,786,214,
687,916,211,648,290,242,433,400,893,392,164,009,267,684,668,679,396,803,088,
137,149,767,174,046,215,536,763,179,310,739,490,590,676,850,848,780,282,873,
028,735,773,162,157,249,359,758,204,312,230,090,063,457,947,180,535,304,960,
318,117,121,513,929,240,423,066,219,436,057,662,049,275,704,616,979,784,114,
761,087,065,047,116,811,733,049,338,656,914,553,635,511,980,897,203,822,820,
510,346,751,024,780,952,575,131,394,375,687,616,527,918,435,634,197,408,614,
582,701,403,010,837,144,678,431,085,101,039,544,391,066,089,742,797,571,508,
997,545,413,991,982,804,268,064,849,335,075,350,839,181,790,333,433,517,978,
053,629,913,519,316,597,793,104,047,413,322,731,968,525,570,459,454,592,412,
455,327,152,005,576,388,626,642,538,478,839,950,996,817,989,996,807,931,864,
612,600,750,902,917,174,439,096,048,281,545,589,497,656,077,346,247,668,221,
670,679,437,355,132,075,336,067,866,536,277,943,618,010,023,612,326,960,663,
815,760,012,573,443,087,067,845,550,958,380,076,226,559,987,494,715,116,696,
134,376,586,943,442,477,500,800,779,618,809,029,027,268,822,067,424,024,880,
799,060,340,567,533,915,401,129,388,309,236,589,954,396,654,171,633,339,996,
915,140,482,834,092,969,433,009,235,206,611,340,070,777,346,863,779,945,537,
742,864,776,977,639,708,942,278,518,529,861,442,870,401,447,111,162,836,350,
095,188,338,684,529,790,666,533,184,855,833,956,134,997,221,112,337,382,027,
016,309,632,517,271,413,657,145,635,077,501,350,530,590,093,417,140,071,809,
929,348,248,041,956,189,276,773,823,439,735,349,889,420,311,657,283,186,247,
085,857,144,154,344,879,942,848,307,031,665,617,254,887,200,505,603,554,881,
446,252,426,321,817,050,454,209,406,979,503,817,228,420,489,926,848,299,747,
841,091,267,783,249,701,920,787,663,963,418,067,851,744,166,715,561,330,115,
550,383,992,315,322,001,072,483,432,190,651,825,551,133,542,745,071,794,300,
219,798,176,355,899,548,278,205,409,413,046,260,246,964,554,481,303,857,715,
125,399,782,603,469,095,487,183,403,102,277,578,896,175,012,162,882,866,208,
323,454,046,379,760,221,752,805,249,024,056,663,082,172,672,218,637,388,318,
352,106,117,451,369,644,180,347,412,601,813,194,426,981,619,974,524,838,187,
134,353,455,929,332,215,829,792,591,715,854,668,621,080,231,859,763,050,735,
210,972,670,522,512,973,924,256,038,376,715,728,788,633,185,857,570,802,597,
094,248,479,929,422,580,101,992,246,932,906,341,460,251,610,293,268,739,112,
473,185,929,572,450,623,654,588,508,618,709,379,874,654,319,049,142,455,182,
665,323,462,900,724,743,807,750,221,891,519,368,442,200,932,507,090,490,028,
862,569,811,119,652,434,278,721,351,242,400,113,862,479,279,279,349,917,440,
308,119,360,949,754,684,199,904,211,097,504,257,912,093,525,626,020,670,994,
556,269,042,855,475,104,731,372,872,507,646,745,583,883,105,172,063,226,374,
531,634,466,146,247,068,308,862,953,201,316,614,672,346,597,755,285,633,424,
617,647,880,565,479,393,047,665,714,068,188,681,470,859,658,520,662,240,211,
212,437,129,529,721,051,427,199,079,703,360,139,362,800,690,939,747,986,252,
530,470,889,281,744,705,788,027,150,637,808,818,411,421,961,453,560,081,056,
011,659,642,501,704,245,512,672,646,433,383,429,114,495,639,298,606,702,227,
649,801,288,753,123,760,417,824,708,868,981,596,054,739,411,163,421,772,878,
259,737,957,426,965,476,263,530,226,712,464,036,356,222,141,777,822,110,171,
314,142,327,664,658,869,565,583,702,370,063,575,974,102,378,176,490,793,477,
946,848,293,218,638,910,635,318,324,583,145,560,738,602,279,436,166,023,656,
719,477,309,730,373,334,789,547,683,730,040,034,051,352,230,400,271,769,959,
662,685,594,519,621,832,579,047,330,663,601,346,039,661,060,002,637,499,230,
836,391,866,277,261,721,141,167,060,791,643,123,539,738,012,391,942,305,736,
026,013,347,532,866,537,255,050,217,347,675,218,584,351,035,747,268,425,633,
645,972,705,722,437,869,732,495,470,101,779,217,594,578,985,091,100,022,884,
267,791,884,569,772,288,559,013,016,085,457,214,295,564,603,468,009,175,638,
577,123,642,226,117,205,841,926,779,156,500,035,993,936,513,095,325,870,079,
193,886,045,921,358,369,009,204,541,629,013,752,911,725,811,119,898,566,691,
147,475,827,604,575,620,784,874,707,274,916,575,360,694,434,395,582,683,211,
541,994,556,179,361,289,747,336,035,070,489,447,278,887,685,054,848,374,172,
908,514,981,800,495,580,913,653,915,328,736,208,301,128,831,382,815,446,323,
970,767,465,561,581,755,043,719,575,354,796,183,020,192,924,951,767,627,876,
232,133,193,662,402,028,234,669,818,089,072,373,899,099,249,662,958,688,252,
579,811,281,780,832,983,205,496,615,353,827,587,081,241,807,503,926,968,443,
698,710,854,421,260,254,377,581,458,579,029,544,998,045,054,879,295,469,348,
851,779,973,829,784,881,597,334,352,784,979,641,388,456,475,321,831,291,715,
100,125,973,275,324,649,346,837,378,641,054,390,719,899,370,670,870,634,142,
162,887,873,077,083,056,326,079,415,231,010,689,315,176,056,287,350,274,715,
107,689,675,723,016,746,592,905,956,218,873,865,343,829,786,786,236,634,330,
883,192,398,950,751,603,274,811,661,122,751,905,611,310,837,424,544,026,904,
595,490,493,930,556,962,913,169,352,162,509,598,158,627,432,422,556,333,130,
555,677,064,749,752,092,506,392,376,440,124,713,434,289,278,608,176,536,604,
799,409,165,520,493,718,264,858,778,657,893,295,386,105,535,664,486,034,071,
063,938,489,121,950,991,477,267,847,089,923,175,988,489,981,669,882,944,033,
666,295,279,763,286,753,951,714,856,549,639,852,705,073,305,783,136,780,283,
171,419,536,919,683,752,950,367,647,800,644,244,011,934,226,873,057,489,540,
858,526,194,678,857,475,451,966,458,906,414,616,020,311,786,988,546,341,048,
754,375,470,802,473,555,491,281,504,791,247,119,510,958,014,304,039,671,728,
255,602,548,554,350,871,207,217,094,439,566,431,273,021,441,425,204,209,626,
477,116,485,529,713,387,755,228,488,997,433,572,441,182,842,974,660,499,849,
009,881,981,523,193,643,541,295,963,806,921,054,508,839,597,319,593,043,733,
572,862,282,461,194,334,851,633,918,975,572,945,895,287,893,412,243,544,054,
058,784,244,610,779,885,042,683,838,983,261,929,237,333,425,151,740,280,961,
213,278,295,249,458,033,126,768,512,434,494,846,705,015,921,154,906,571,592,
135,155,077,240,095,166,029,086,887,899,945,194,267,635,229,065,749,264,874,
658,734,052,577,848,801,771,887,862,233,925,021,494,779,237,700,266,697,800,
900,141,186,192,462,595,883,926,938,187,240,378,137,985,375,609,532,780,482,
040,758,411,629,390,818,183,220,626,016,990,205,607,756,652,011,383,858,262,
600,159,308,800,269,982,882,441,414,132,997,118,637,835,425,602,253,244,750,
002,163,805,098,103,777,653,831,512,964,615,313,315,258,181,568,398,429,163,
990,817,301,779,890,449,941,676,232,867,524,635,765,878,071,353,654,538,449,
314,195,190,602,531,757,285,893,786,113,999,159,146,872,827,049,084,860,612,
967,507,910,079,519,239,839,114,071,465,066,919,983,347,234,599,532,372,643,
959,868,630,949,102,341,812,113,928,469,493,456,739,404,842,688,381,694,865,
103,933,518,079,560,549,176,125,931,790,166,238,561,931,148,534,275,777,241,
251,126,211,271,526,741,785,126,884,033,227,785,454,942,513,185,489,248,124,
553,375,967,515,990,778,024,449,624,709,676,084,270,711,489,062,271,910,095,
908,351,042,823,504,842,749,431,325,965,962,528,148,944,462,404,560,980,701,
872,290,407,732,802,977,026,881,276,108,901,070,245,214,016,476,229,464,571,
232,440,173,106,705,315,573,967,491,966,054,233,474,213,105,465,688,932,017,
312,104,155,608,289,686,775,563,495,542,696,937,318,335,489,989,403,017,958,
274,123,526,789,474,920,619,680,426,266,259,770,489,657,383,300,799,063,221,
340,196,000,776,548,929,750,360,289,688,269,746,820,810,123,660,760,235,617,
281,738,020,862,571,194,495,554,810,057,091,098,269,684,964,761,307,148,131,
701,744,374,486,852,945,815,299,201,692,920,255,189,972,962,232,659,898,873,
827,203,029,849,113,850,674,219,618,426,420,337,270,192,381,948,924,041,797,
350,670,259,498,481,471,752,872,098,274,891,172,300,352,018,219,265,080,792,
150,868,298,235,795,717,054,199,942,967,267,846,989,336,408,038,113,686,196,
035,893,810,371,294,854,626,143,737,547,530,502,903,136,779,675,827,909,351,
901,688,849,821,281,282,938,685,666,221,115,575,763,404,512,815,214,409,777,
052,448,916,768,521,649,481,711,879,048,546,421,133,960,915,609,595,993,034,
632,550,961,962,834,383,500,430,485,095,874,230,291,337,818,535,864,299,871,
876,956,228,600,013,030,387,435,208,351,586,097,874,860,223,691,346,381,737,
062,578,698,551,596,787,581,842,432,737,706,962,040,817,950,316,818,465,352,
348,047,993,773,697,630,241,712,119,509,600,931,038,431,032,289,724,240,498,
914,893,179,829,331,096,602,232,098,731,935,019,298,735,280,869,965,434,917,
908,758,544,099,767,860,137,162,203,860,798,512,101,753,434,612,163,683,717,
174,234,367,691,601,606,361,882,993,765,061,547,236,499,690,091,210,946,475,
721,269,645,000,546,967,774,092,663,481,633,273,509,435,965,812,626,987,146,
808,918,879,663,088,503,157,442,577,240,400,100,592,690,408,917,330,374,985,
534,408,898,511,092,884,153,170,142,792,709,116,547,147,977,592,747,085,703,
588,512,891,774,670,204,651,936,294,075,401,954,566,748,845,920,830,898,565,
910,999,166,509,762,776,821,802,970,481,078,071,248,890,720,055,192,363,835,
453,251,961,087,524,426,125,868,802,815,195,501,533,163,474,093,772,019,164,
048,161,346,714,531,311,659,948,065,099,160,542,935,615,468,801,040,685,734,
689,717,012,901,111,526,698,407,642,244,826,752,284,966,951,845,715,149,973,
937,424,678,878,458,984,845,449,505,991,978,891,246,412,136,222,410,325,453,
689,229,524,348,808,982,813,983,629,864,395,234,655,931,367,475,270,416,611,
136,824,393,012,369,278,767,922,365,515,169,263,084,255,434,485,424,740,446,
957,335,342,785,423,484,638,316,715,319,598,979,148,101,009,573,461,119,347,
135,429,246,189,695,859,888,412,548,882,525,618,783,253,848,363,885,930,024,
062,829,189,733,632,745,113,070,348,575,430,055,737,846,452,469,129,957,796,
357,655,728,057,044,742,240,821,284,194,384,573,629,557,977,735,379,735,184,
976,141,850,070,412,068,362,657,899,254,215,259,817,141,690,264,871,917,987,
038,077,248,779,469,524,417,810,115,713,462,613,802,522,437,118,603,038,778,
105,488,253,596,727,766,503,753,494,602,552,602,944,218,558,488,245,642,000,
908,441,085,091,590,960,187,732,399,891,175,682,531,301,645,335,039,559,354,
088,347,995,267,698,058,024,203,364,525,960,573,530,607,827,069,691,956,633,
391,557,165,981,059,581,886,945,764,345,555,251,057,244,523,662,035,637,588,
731,533,904,009,814,651,110,282,147,162,750,792,917,589,523,322,202,513,663,
622,149,871,335,163,650,987,729,106,887,382,528,889,104,595,095,998,910,410,
358,545,378,910,634,046,751,584,850,734,135,778,338,019,935,535,823,273,160,
891,732,087,766,344,587,217,904,186,197,471,643,726,093,689,089,024,436,276,
108,885,910,174,491,337,094,493,764,268,648,744,614,898,749,645,840,122,624,
453,943,861,543,097,017,719,747,107,398,576,288,943,988,525,306,106,292,182,
178,774,828,871,065,785,941,672,439,397,625,727,344,072,167,547,425,423,188,
099,823,808,728,722,596,388,090,128,353,959,572,925,384,795,395,482,971,984,
292,852,951,307,131,621,810,810,949,670,843,280,682,680,126,245,310,797,365,
319,185,174,528,561,331,847,365,992,183,687,220,585,409,983,838,992,142,607,
851,325,787,815,960,612,139,503,389,043,215,999,987,806,504,433,416,088,614,
335,608,637,587,692,162,424,511,227,606,632,582,932,401,331,907,038,968,788,
917,335,849,278,076,230,873,524,250,432,690,226,887,131,733,684,906,443,146,
497,039,672,457,573,810,157,329,347,413,233,829,593,159,137,804,013,910,240,
324,608,464,205,212,252,104,576,028,371,685,767,955,147,788,892,900,470,458,
300,460,782,867,783,733,385,687,596,741,986,781,059,615,405,152,020,544,142,
459,231,578,050,446,366,307,118,528,387,479,837,135,674,964,942,355,286,165,
695,760,627,165,460,813,094,494,747,212,190,578,086,883,196,176,875,265,112,
525,805,668,952,531,802,990,197,266,998,290,745,373,944,842,048,968,305,244,
709,627,982,555,796,132,465,661,204,264,583,767,774,557,854,473,094,920,915,
786,259,219,720,863,857,351,030,945,037,125,381,679,387,358,561,168,443,742,
628,807,599,829,737,726,628,001,165,643,025,065,439,379,817,828,230,772,335,
506,521,218,872,412,106,240,873,549,909,012,598,933,447,831,919,779,146,196,
980,044,132,504,996,759,789,696,169,872,869,369,241,061,632,658,054,860,564,
474,151,247,403,702,378,316,358,172,125,336,513,888,284,957,079,042,887,180,
892,101,073,638,536,336,125,638,461,817,185,732,426,344,287,304,239,297,002,
779,288,405,562,924,179,746,950,820,646,458,858,766,684,150,508,486,977,345,
004,966,403,342,290,664,872,241,741,684,626,289,404,733,928,851,832,622,177,
183,570,453,815,451,643,193,460,011,102,628,788,184,565,544,693,710,015,462,
915,884,475,396,816,244,999,279,144,064,433,266,035,937,465,022,457,785,728,
064,792,445,535,490,515,750,102,947,059,105,145,374,037,495,226,877,434,819,
942,927,808,808,046,038,713,146,852,419,848,277,717,697,992,743,950,748,268,
182,280,403,351,507,012,548,101,094,108,235,573,328,728,625,376,014,879,654,
702,665,337,876,228,755,840,960,778,319,772,485,207,379,872,552,041,189,062,
871,910,243,139,220,969,137,830,214,210,894,252,298,700,114,011,279,707,185,
699,104,815,641,350,421,634,183,359,496,124,865,363,955,443,530,253,473,537,
058,146,356,191,087,006,543,547,308,659,570,549,837,246,719,783,302,173,334,
830,037,028,968,226,723,761,102,216,400,628,080,481,805,756,939,192,401,835,
996,705,844,200,303,860,362,479,857,386,494,165,539,287,880,094,633,300,010,
066,669,884,844,544,486,736,787,119,785,549,622,904,965,039,881,537,553,979,
631,707,282,940,825,003,564,270,564,027,367,306,633,687,661,370,597,757,889,
854,795,719,155,681,418,199,410,665,986,182,284,758,427,151,351,348,809,851,
526,732,680,200,899,207,819,218,846,309,398,009,694,614,754,220,183,763,263,
268,671,235,025,618,133,649,092,866,648,875,548,328,078,253,918,587,250,268,
325,753,734,955,589,575,775,097,069,781,343,789,158,301,145,591,134,944,052,
121,327,727,207,420,244,886,935,844,201,526,112,196,275,488,251,480,984,892,
465,487,433,633,467,423,907,537,510,881,132,190,890,057,384,915,914,086,675,
014,546,698,809,153,380,866,017,602,712,546,304,495,591,283,839,458,235,917,
276,037,936,185,838,486,841,025,706,765,590,006,899,719,274,681,906,866,853,
494,504,300,180,161,805,622,160,289,683,581,457,750,301,591,757,828,882,713,
182,626,896,915,356,331,470,098,384,927,063,820,947,079,386,992,397,715,863,
848,113,455,335,664,591,440,999,130,321,766,840,340,740,916,882,866,031,781,
481,470,471,500,527,170,567,565,273,524,743,251,450,285,731,604,713,684,350,
538,500,460,998,580,645,644,489,879,813,801,381,621,854,919,087,876,206,560,
766,905,695,857,371,672,989,894,055,100,573,341,767,043,489,885,206,772,598,
793,346,945,870,687,927,717,036,946,673,309,410,126,872,481,844,614,656,216,
712,450,132,107,378,797,446,991,406,656,830,346,965,691,671,063,126,359,249,
239,191,692,119,848,085,653,925,912,533,679,294,620,108,714,348,672,989,441,
098,164,384,305,444,253,209,833,877,302,577,777,423,531,763,029,300,427,626,
029,449,785,346,521,240,744,383,057,768,290,806,029,635,409,048,278,027,352,
939,520,579,169,266,361,811,011,962,919,328,249,888,239,215,231,228,708,256,
914,434,976,738,971,907,346,992,974,496,886,097,682,928,741,520,502,286,007,
609,812,239,940,587,549,003,359,402,649,737,566,126,201,949,751,183,031,350,
393,115,353,677,091,123,999,149,486,036,402,079,499,591,528,238,312,507,637,
574,325,519,608,282,813,240,648,503,907,514,448,146,612,526,204,115,902,816,
289,889,483,821,717,482,120,867,415,494,479,122,511,929,675,441,739,881,592,
597,899,139,454,643,318,220,766,872,383,183,652,719,123,137,509,003,290,435,
398,296,937,264,830,813,145,810,615,198,026,821,355,820,192,121,424,633,998,
522,498,054,524,571,718,860,680,553,363,258,478,724,127,498,179,115,972,048,
376,007,455,387,261,650,356,887,251,507,466,002,439,018,386,968,599,134,869,
730,614,854,835,315,804,664,855,535,896,820,430,630,077,078,368,613,228,243,
421,425,941,019,466,041,891,969,259,181,703,188,388,057,777,169,324,630,160,
039,753,571,342,805,769,158,323,516,264,937,553,184,301,750,638,813,437,314,
961,009,122,807,258,364,302,425,655,942,743,166,908,853,994,333,486,421,474,
307,391,598,189,090,235,596,851,184,518,945,607,005,437,003,116,872,317,090,
176,661,879,467,113,908,733,139,041,160,558,135,916,194,641,840,174,990,906,
324,304,969,858,609,812,186,197,040,810,950,926,694,563,262,716,565,270,954,
513,653,687,043,618,886,891,468,130,562,697,681,030,455,021,384,083,989,752,
964,875,953,048,236,071,470,389,812,013,174,587,703,733,140,359,567,386,010,
285,603,792,509,770,509,032,640,948,755,533,568,845,937,001,958,318,294,246,
323,418,379,059,919,770,864,132,616,767,263,589,870,960,509,172,897,125,788,
076,867,672,072,563,015,910,391,343,255,790,106,204,509,568,991,915,126,465,
259,733,660,144,709,202,904,274,751,399,796,753,153,966,105,097,932,335,731,
416,722,637,729,352,481,230,227,127,029,063,050,344,024,720,256,477,727,848,
159,670,972,947,574,817,857,751,863,705,309,350,883,008,519,234,860,485,998,
242,437,862,520,530,029,990,534,239,551,661,949,695,459,695,064,029,319,852,
536,611,146,208,377,704,027,792,841,006,886,625,978,702,666,205,423,585,449,
426,725,621,812,940,953,470,551,532,701,899,651,733,140,083,640,519,159,728,
690,020,395,946,184,711,874,854,232,600,350,067,859,262,861,987,831,623,744,
400,525,674,856,753,949,514,530,994,445,877,680,189,357,603,207,770,600,585,
179,475,870,417,562,477,118,554,017,747,300,209,041,744,927,416,206,856,248,
686,985,762,991,582,029,543,655,200,227,568,857,559,718,349,676,262,899,013,
176,594,953,809,752,121,716,866,968,768,185,994,743,959,081,449,821,888,541,
817,207,739,555,725,566,104,687,378,512,923,812,566,152,316,718,854,377,244,
691,757,757,248,205,891,097,308,253,536,817,419,490,880,643,617,334,835,579,
887,177,134,309,712,281,840,651,303,639,746,615,019,533,318,986,547,550,034,
344,468,200,728,038,723,626,787,198,496,417,751,371,623,285,511,593,292,103,
255,560,024,400,520,315,057,186,465,547,242,101,802,102,850,056,440,825,515,
521,251,933,845,335,807,012,733,569,488,453,851,325,599,760,742,383,883,437,
463,807,104,958,733,837,489,210,323,386,854,149,763,540,630,446,910,173,585,
333,946,139,831,892,889,254,458,028,663,041,602,990,850,736,875,763,997,976,
161,767,354,168,500,948,929,296,933,967,218,820,555,913,930,703,210,506,542,
750,396,390,283,637,246,169,863,911,286,909,093,388,430,521,262,949,053,754,
976,409,963,467,020,403,987,518,919,114,477,499,238,359,471,844,370,566,027,
869,401,527,245,942,724,083,772,203,496,810,910,819,222,124,530,889,906,726,
252,757,268,418,712,806,664,080,032,284,216,282,677,060,030,318,270,567,857,
522,680,107,024,091,283,222,630,965,872,146,466,397,732,751,653,619,443,677,
986,215,129,342,335,615,989,049,434,723,443,097,293,393,066,684,324,094,057,
851,582,368,660,264,655,712,222,760,433,514,485,513,726,480,185,079,172,644,
160,310,031,191,674,045,854,182,455,912,085,952,266,682,389,684,190,907,290,
494,687,404,670,010,097,526,504,850,460,217,017,490,057,331,211,082,288,249,
460,601,296,541,943,375,002,576,536,691,036,384,272,312,665,866,455,288,839,
376,311,665,894,907,036,441,087,529,422,693,098,231,127,254,904,026,237,692,
498,277,329,633,526,692,695,513,769,678,863,381,753,813,489,900,467,131,213,
697,857,101,834,048,417,904,422,856,523,226,762,555,295,032,925,593,360,420,
754,446,395,039,423,765,668,967,481,756,954,320,643,790,266,871,724,023,700,
439,363,242,123,230,772,838,489,618,629,595,964,261,854,807,399,834,131,493,
730,307,781,233,030,327,711,818,339,929,856,453,014,188,960,089,762,909,950,
375,608,524,298,715,881,141,762,464,049,542,291,833,023,624,428,146,213,756,
016,505,365,341,579,113,565,029,584,713,595,480,391,364,254,937,982,599,175,
706,110,352,396,795,079,173,577,781,754,593,450,179,238,709,365,350,155,119,
718,301,777,798,742,286,929,929,155,882,607,744,997,718,142,511,878,322,746,
798,884,396,593,593,278,924,531,315,309,626,472,505,986,302,528,213,742,214,
688,116,876,845,111,908,583,934,647,570,161,704,721,009,407,041,728,816,147,
892,056,123,365,827,696,803,260,806,886,334,457,964,011,393,555,410,709,818,
444,029,515,908,535,573,591,292,600,910,107,562,327,472,551,726,638,423,687,
149,193,162,135,036,936,365,225,378,143,384,071,677,341,070,832,781,315,327,
768,971,465,738,695,954,610,728,383,292,264,173,565,223,576,196,111,015,172,
457,311,145,210,127,945,728,624,339,576,958,513,247,159,745,577,531,362,716,
956,663,963,251,008,490,444,052,561,449,352,034,779,957,392,538,769,965,609,
532,924,461,542,337,130,828,751,198,114,216,335,011,298,198,830,184,093,688,
562,488,230,404,397,310,950,454,031,979,821,742,791,371,233,280,594,556,397,
708,469,584,039,202,558,950,240,797,377,057,891,164,415,562,144,549,937,077,
159,020,571,430,345,266,641,941,566,202,131,093,398,658,505,055,589,159,211,
649,353,627,715,596,769,614,823,903,633,977,882,535,672,128,983,495,730,261,
082,983,944,048,464,366,051,750,427,713,685,953,478,186,233,195,063,167,348,
305,709,660,921,506,774,339,974,072,768,508,972,273,326,028,410,499,689,626,
489,796,851,015,578,072,813,432,778,836,109,400,582,009,963,238,404,201,443,
503,680,903,412,230,295,097,912,722,579,306,473,739,597,801,497,362,934,414,
978,688,658,697,843,418,654,130,645,301,055,576,149,310,346,669,280,450,509,
669,530,637,158,766,770,702,081,315,947,097,145,702,852,665,125,322,559,245,
267,690,966,638,614,255,442,509,656,866,660,997,266,365,663,781,692,863,598,
621,590,790,690,919,522,468,976,403,457,842,863,243,569,530,612,404,091,178,
679,911,717,937,668,032,123,407,586,549,717,144,220,441,966,474,335,384,518,
668,592,125,786,219,639,684,804,422,523,605,212,172,540,516,837,726,042,150,
231,466,374,743,501,106,991,966,529,092,419,676,944,644,987,957,610,600,014,
370,063,468,806,418,344,962,061,914,811,557,641,289,148,271,399,859,715,018,
767,159,892,285,792,099,291,186,877,364,407,912,874,395,977,335,540,390,383,
190,016,894,038,608,199,998,545,972,810,559,687,951,007,444,656,656,718,034,
131,781,272,266,980,244,373,881,971,937,732,658,222,831,627,014,572,406,981,
876,213,784,729,467,395,696,680,562,846,449,514,370,681,232,021,778,473,972,
756,540,465,664,981,772,728,942,761,989,188,629,462,632,832,957,709,859,744,
182,447,302,103,560,358,133,246,982,060,945,101,357,462,031,149,938,446,476,
109,256,763,056,327,641,357,309,702,516,908,295,033,028,063,334,340,379,636,
152,314,074,150,225,769,988,186,082,678,634,326,139,035,843,786,790,148,871,
485,816,994,049,034,623,227,285,542,383,438,364,033,335,627,890,914,076,721,
852,888,103,946,861,340,130,271,823,692,848,980,760,425,131,568,197,537,720,
580,201,804,406,982,048,485,182,142,053,715,389,151,342,716,313,186,108,566,
802,205,793,805,932,995,822,627,494,678,268,789,650,338,070,554,465,931,487,
638,170,984,429,854,130,130,719,684,682,683,051,590,956,967,394,071,423,267,
246,043,060,943,226,876,145,215,596,378,901,244,714,729,017,853,528,322,975,
562,735,611,658,276,459,001,261,800,686,633,388,837,493,480,653,271,592,734,
269,474,811,325,902,432,586,164,463,899,837,390,984,465,288,842,252,059,645,
829,333,548,002,246,465,464,412,359,196,564,915,828,895,167,731,594,029,989,
978,804,006,702,775,715,590,125,784,825,218,780,288,018,506,682,645,927,578,
617,607,736,426,169,533,280,712,432,104,349,902,264,289,960,741,824,325,586,
647,487,051,365,401,683,712,410,047,831,330,287,366,342,040,075,010,047,056,
572,554,931,834,635,243,331,830,940,151,499,784,806,008,079,088,623,642,690,
687,614,053,917,396,381,896,187,081,017,731,886,854,091,343,343,057,999,227,
564,971,519,567,803,600,441,046,461,455,109,738,932,785,303,593,625,891,619,
419,519,257,407,926,636,031,116,793,714,171,055,129,618,977,838,677,209,701,
512,415,897,532,351,841,508,061,499,584,548,509,907,339,454,882,833,347,731,
802,789,511,545,179,815,423,006,415,432,725,338,568,211,179,029,802,978,812,
546,754,991,261,146,074,508,693,230,712,238,797,977,234,815,786,361,573,280,
988,878,269,700,247,222,999,281,865,927,346,720,436,412,638,200,139,186,222,
636,607,801,563,520,194,653,069,704,748,927,099,740,844,320,181,625,284,483,
752,251,970,016,962,004,191,712,028,114,773,792,518,629,120,843,470,020,951,
447,280,272,245,933,776,193,736,377,439,619,444,105,323,786,008,088,392,716,
410,858,574,234,281,279,416,578,559,039,401,402,306,419,769,756,970,914,322,
346,976,425,997,199,999,923,933,168,866,426,310,730,847,215,313,298,346,236,
201,604,086,008,981,870,102,727,541,521,319,739,898,860,851,855,124,939,887,
926,913,592,804,423,357,584,059,744,097,302,774,509,749,072,735,503,868,603,
460,048,125,248,691,653,411,487,506,894,843,701,458,713,478,267,307,795,443,
776,460,158,519,421,800,481,650,574,822,702,671,488,880,067,342,242,498,662,
899,273,302,240,451,579,126,193,024,311,183,769,162,073,357,373,227,414,123,
447,141,631,756,435,779,410,017,925,083,297,464,986,175,989,893,409,441,064,
206,481,771,436,069,948,552,724,540,175,220,012,771,103,163,285,595,806,801,
957,618,818,108,416,828,445,537,170,954,396,601,304,976,211,647,844,367,417,
543,024,439,482,133,874,447,863,093,053,653,781,140,696,011,473,338,483,309,
425,640,612,860,511,316,569,376,766,428,121,339,549,771,704,098,213,820,309,
531,528,206,386,294,703,969,711,050,613,536,660,759,262,918,185,412,123,577,
383,555,580,113,743,214,037,388,793,383,357,628,449,890,516,731,831,660,867,
764,767,931,246,052,721,136,431,444,750,488,911,674,230,913,418,711,141,215,
580,668,600,423,987,353,504,517,755,962,629,285,749,322,426,093,317,837,571,
179,761,362,719,113,580,472,600,928,521,237,269,104,574,161,668,935,110,742,
607,949,435,080,926,980,361,118,992,913,721,900,053,247,112,636,067,207,078,
905,493,712,403,856,917,484,995,068,732,037,225,762,018,124,561,723,220,318,
037,602,375,413,202,222,704,207,651,985,191,780,394,782,020,096,185,666,210,
065,135,345,051,326,121,870,883,660,231,698,359,270,234,144,615,853,455,473,
108,475,800,168,569,367,161,338,636,335,326,466,544,448,435,386,226,571,884,
227,891,852,823,195,480,732,476,028,696,703,061,129,730,611,778,149,543,072,
638,340,500,444,469,903,364,992,616,465,052,908,090,921,082,572,589,523,075,
924,175,300,712,321,370,165,626,413,210,837,589,510,236,828,161,327,882,236,
645,819,264,612,619,083,687,929,238,217,322,178,240,337,216,198,735,494,924,
115,361,912,706,754,713,115,543,710,559,797,596,204,583,555,623,560,087,940,
571,419,807,915,514,453,680,286,375,252,625,171,301,799,185,826,743,818,646,
622,059,722,456,537,305,722,798,110,225,205,530,611,060,063,318,612,564,116,
002,204,289,198,894,748,452,451,666,026,665,616,774,928,554,382,952,488,672,
939,023,135,123,413,251,906,720,460,105,474,566,377,473,253,376,375,046,061,
476,098,589,570,768,597,763,927,035,325,038,556,289,033,832,391,097,476,250,
260,931,137,004,532,759,346,190,474,993,573,596,286,578,097,867,880,449,845,
875,062,162,242,008,270,981,128,755,294,315,007,274,839,872,621,474,271,691,
392,518,582,172,548,860,633,144,079,252,249,638,259,815,332,019,653,393,172,
417,631,759,217,688,000,914,726,626,575,102,711,044,161,636,701,798,071,545,
138,327,627,537,118,927,745,401,098,801,292,858,124,762,565,295,894,066,050,
710,388,147,572,732,761,114,966,838,832,066,027,603,175,247,635,728,324,301,
579,248,249,662,295,619,720,571,566,410,080,618,311,202,942,007,694,344,103,
743,129,924,634,171,370,583,185,729,288,105,577,767,227,217,805,071,264,732,
845,961,396,659,573,877,675,002,323,137,459,795,835,558,575,012,803,156,137,
471,427,097,612,958,631,475,856,480,307,028,968,671,135,342,288,718,193,169,
390,013,566,736,792,682,829,219,046,655,897,824,617,668,659,859,285,484,277,
270,005,205,548,623,415,890,446,884,888,108,146,200,008,159,867,579,311,744,
912,300,548,511,640,541,354,660,651,449,065,477,939,073,556,141,837,859,304,
919,861,787,901,770,659,575,000,068,668,123,464,891,901,369,033,055,076,786,
486,752,136,072,222,713,901,323,856,589,910,520,580,917,785,589,408,323,749,
851,197,367,137,833,288,768,862,666,337,482,084,819,636,748,901,596,613,932,
794,173,381,008,968,618,876,398,664,283,153,979,235,193,947,689,689,659,920,
582,467,973,298,928,567,873,758,067,154,893,000,292,293,760,803,940,394,529,
747,774,812,767,897,072,606,970,690,971,858,174,829,009,476,221,244,587,684,
186,510,232,295,088,177,428,713,200,062,768,611,590,156,078,631,648,020,616,
016,136,398,526,243,694,661,288,877,878,332,566,793,489,487,591,693,936,724,
798,402,945,829,144,989,836,098,280,508,074,217,846,227,250,083,513,134,512,
751,639,071,387,590,019,541,398,489,266,995,715,218,910,638,894,757,887,216,
879,162,260,125,368,828,812,916,353,213,711,522,207,885,047,664,905,611,370,
589,242,856,318,524,507,198,841,528,759,695,984,563,792,727,988,440,149,882,
625,131,555,788,938,033,132,650,395,317,194,761,146,155,126,373,073,277,589,
802,053,207,443,825,708,721,876,083,478,841,120,963,583,156,530,830,584,616,
224,445,467,037,980,975,767,740,819,481,627,422,491,073,349,135,202,189,607,
342,887,909,613,049,280,684,614,820,420,977,319,700,988,890,605,162,118,980,
562,687,198,761,545,419,577,765,659,263,519,074,942,767,305,777,977,744,833,
753,254,413,536,405,350,271,115,843,249,334,774,152,331,778,070,118,792,910,
990,195,992,023,531,840,279,218,391,824,136,481,442,800,696,877,557,475,394,
509,918,470,074,421,844,632,327,478,841,794,851,007,795,557,756,388,649,257,
057,624,931,763,625,982,951,347,370,832,287,761,653,614,582,287,849,110,383,
812,107,846,213,471,552,803,487,048,714,778,854,725,897,788,882,212,039,053,
481,290,127,010,177,364,780,627,003,187,968,740,098,162,411,674,231,390,558,
162,321,929,571,988,383,451,600,134,801,795,894,417,783,920,233,141,461,688,
142,297,893,266,577,059,662,015,480,378,114,936,894,871,117,640,027,808,332,
525,429,905,876,709,136,220,538,137,654,551,385,485,415,616,151,349,410,405,
380,100,555,819,975,611,196,169,799,516,255,627,853,390,989,576,151,939,684,
400,319,489,978,305,673,395,414,532,686,943,079,702,219,764,593,638,834,337,
251,763,716,289,180,711,846,977,716,740,995,473,417,263,654,894,319,989,211,
327,069,521,381,145,658,839,081,390,330,795,466,778,719,093,561,492,282,799,
399,960,697,035,086,529,609,384,779,582,494,189,681,232,193,269,820,802,010,
632,852,614,790,769,512,762,873,154,339,701,126,411,579,597,776,479,122,487,
914,178,684,829,071,446,815,986,325,015,051,170,441,068,425,047,901,980,650,
407,022,014,955,648,141,097,970,279,339,483,544,365,218,547,545,511,302,601,
510,861,003,267,354,062,597,171,230,047,180,239,044,419,593,501,371,373,612,
799,130,394,753,397,517,511,698,634,331,974,977,329,095,501,611,398,142,264,
531,461,218,280,122,298,974,355,336,442,712,237,047,655,615,135,496,217,808,
022,317,111,412,728,362,947,406,720,062,648,612,956,401,480,063,974,022,584,
692,517,766,537,311,448,144,998,274,658,128,496,749,180,604,002,779,681,765,
708,899,407,833,227,344,296,398,072,482,090,427,939,224,496,052,418,579,428,
783,350,533,168,685,565,747,286,324,715,120,881,454,988,686,003,605,147,808,
279,885,695,695,298,985,785,143,789,559,159,520,799,384,570,375,744,200,133,
548,823,239,723,861,201,044,914,717,628,611,712,174,180,978,426,388,436,577,
729,490,411,484,754,010,485,217,919,842,316,147,125,308,500,376,540,208,253,
475,748,007,767,074,161,193,264,718,623,592,000,089,939,078,749,180,142,903,
419,170,738,965,344,267,154,150,633,001,524,438,041,011,970,131,004,710,835,
495,610,364,367,309,168,216,146,568,703,937,493,809,264,678,485,905,623,013,
944,612,019,615,690,200,196,997,100,163,615,070,608,020,622,758,801,331,999,
880,609,504,424,067,567,492,413,225,767,646,679,801,625,721,823,244,530,298,
683,019,024,283,046,413,239,369,522,687,862,504,324,266,715,990,678,285,273,
130,244,389,103,529,727,836,330,438,862,006,705,043,653,215,385,295,467,921,
816,238,345,088,727,244,472,342,317,766,820,747,357,051,325,853,579,887,644,
735,342,528,380,762,102,869,050,461,859,227,678,886,947,893,821,773,085,066,
644,377,745,622,154,898,924,156,020,347,898,043,770,883,982,549,371,665,294,
817,596,718,391,314,678,851,381,588,728,999,725,136,612,225,741,532,553,076,
441,884,546,751,657,714,636,273,892,113,276,260,749,475,359,324,005,585,440,
657,501,869,961,607,649,476,619,346,553,868,934,950,243,437,106,302,874,665,
398,246,894,451,784,040,673,171,722,031,274,329,926,627,824,406,655,228,696,
201,008,918,650,521,511,388,919,906,064,360,655,128,754,232,946,993,924,321,
411,646,727,717,477,718,897,109,933,429,376,754,348,406,437,616,177,015,393,
177,157,522,084,756,452,829,204,910,720,591,546,927,703,619,181,481,692,848,
245,927,618,430,756,478,315,214,518,864,879,709,934,533,519,370,390,011,564,
180,431,807,206,512,435,837,784,587,307,032,975,469,039,631,390,321,720,416,
481,106,435,368,339,761,920,245,720,601,623,248,653,727,821,283,285,344,248,
535,799,793,204,450,087,406,459,593,932,137,528,389,410,865,951,857,090,503,
525,707,727,571,294,952,556,458,191,449,868,317,173,174,199,387,218,539,021,
052,076,856,792,042,809,224,224,349,677,882,879,617,031,946,321,622,562,193,
981,221,782,377,128,375,208,618,727,647,545,537,824,897,569,530,309,182,015,
927,782,992,359,806,210,195,993,982,575,965,561,496,861,917,141,185,205,577,
951,986,917,961,083,996,594,577,928,131,961,565,256,378,320,099,043,540,141,
206,165,241,286,236,820,376,304,618,242,891,644,066,274,460,504,707,600,705,
939,575,807,291,565,322,864,525,633,677,329,157,971,037,206,512,812,872,432,
458,453,347,280,804,718,856,389,122,695,973,214,032,688,996,447,515,199,720,
234,053,502,782,264,578,837,821,928,774,360,436,509,119,696,269,871,598,286,
909,911,049,971,021,338,120,831,540,205,644,423,975,547,491,659,634,957,891,
155,432,538,797,907,551,334,372,143,714,892,002,822,332,480,287,976,183,440,
423,670,545,812,996,107,859,497,312,485,644,196,571,535,353,887,390,481,679,
610,861,816,428,087,879,379,943,359,463,918,254,271,007,379,615,712,924,870,
564,963,673,906,071,336,535,897,359,999,462,799,844,264,237,525,290,653,578,
240,793,282,399,796,393,108,487,615,704,997,340,639,955,071,559,199,800,541,
505,266,305,804,915,999,323,508,751,746,522,387,698,640,488,112,927,007,504,
591,166,539,742,582,788,251,039,434,929,697,068,974,874,955,346,110,777,823,
837,341,975,854,278,642,012,007,980,395,743,038,400,673,015,666,348,487,067,
485,606,270,165,079,493,888,437,974,953,463,514,385,802,410,325,745,090,848,
368,395,617,241,303,480,507,452,846,473,843,892,230,298,899,789,437,598,347,
232,132,250,113,726,846,050,679,967,495,785,400,258,844,146,853,579,910,599,
512,057,291,845,601,226,272,503,726,083,899,162,174,273,182,984,724,199,083,
267,851,536,715,462,520,086,829,869,716,730,006,417,974,960,075,807,637,818,
132,495,784,073,637,773,080,115,335,616,572,202,921,973,769,089,371,627,151,
395,190,387,215,881,163,115,292,003,977,142,570,566,977,720,090,797,610,842,
925,141,977,016,993,365,776,353,526,304,757,984,461,394,174,518,157,157,418,
557,019,826,318,495,635,442,590,196,039,657,169,854,754,231,951,462,082,568,
883,753,921,007,090,585,153,249,873,861,386,040,130,037,697,733,270,284,908,
032,193,628,044,723,643,370,643,633,689,161,457,098,985,401,258,289,895,176,
593,892,066,318,737,169,678,714,740,372,418,081,178,349,325,903,378,535,183,
602,450,156,157,790,644,701,210,909,447,134,447,676,152,940,728,864,503,207,
790,274,794,738,763,412,205,747,328,008,403,576,909,073,994,970,409,504,080,
389,711,843,317,125,453,423,887,722,375,027,266,693,791,030,813,103,249,697,
894,032,773,353,754,716,982,003,720,342,784,767,514,121,726,200,153,963,190,
682,027,169,481,508,049,390,547,382,900,564,115,169,877,670,277,414,984,121,
600,781,987,012,633,354,937,244,176,982,444,321,106,128,143,323,894,679,809,
868,923,599,938,672,522,800,320,111,833,896,577,376,966,504,197,605,944,045,
134,855,715,751,657,117,679,690,536,397,092,875,309,106,253,844,410,509,442,
715,411,131,402,175,919,826,493,751,039,600,154,789,785,258,497,909,842,893,
404,195,399,252,075,146,760,583,660,051,275,277,535,161,360,773,140,781,601,
058,497,545,803,731,737,263,347,182,360,240,774,329,674,419,804,127,276,410,
218,476,083,583,745,814,411,505,605,374,380,790,696,458,496,277,130,081,001,
691,957,557,895,988,821,461,572,545,971,148,738,211,958,377,466,236,474,160,
711,026,954,563,660,839,521,727,588,750,029,996,881,700,533,812,574,493,635,
406,246,601,581,685,906,725,780,795,817,083,574,009,061,931,172,589,362,495,
011,885,993,348,845,125,836,291,454,275,929,881,134,777,279,188,447,790,319,
986,967,912,319,702,237,184,544,172,960,793,192,334,674,011,104,582,517,065,
789,539,151,225,081,492,650,770,652,325,077,458,373,611,671,271,102,217,244,
087,089,395,703,995,090,815,957,381,882,818,408,641,767,036,443,162,788,599,
729,783,627,698,355,374,222,429,289,086,585,348,607,143,106,314,735,936,277,
383,795,431,555,934,314,576,985,670,651,851,742,232,641,542,332,397,707,790,
725,289,320,173,722,385,230,133,906,778,388,086,995,747,619,124,015,507,829,
599,035,861,862,490,068,500,129,462,454,066,354,506,037,084,168,591,490,706,
328,712,705,453,698,276,480,700,367,253,661,453,122,500,661,536,403,769,227,
235,957,428,864,964,909,701,542,101,695,530,530,038,974,306,189,767,835,564,
461,468,596,364,451,767,086,217,010,350,801,837,578,771,805,450,470,848,916,
151,891,064,054,508,248,137,035,151,657,493,915,604,087,349,030,963,711,741,
184,653,677,118,747,792,593,383,748,511,252,607,012,831,658,199,645,799,756,
968,463,783,142,037,487,422,457,244,148,957,441,480,832,016,804,384,273,364,
940,501,690,648,983,896,214,014,524,279,700,027,116,134,859,424,697,049,274,
022,252,098,402,719,368,536,065,570,881,468,692,909,843,960,320,777,256,233,
399,237,444,936,200,262,607,797,456,774,718,810,889,669,280,766,533,177,689,
797,390,932,562,964,839,890,084,525,213,076,684,674,588,658,722,284,207,917,
970,653,646,184,044,942,117,423,646,287,614,437,841,324,936,433,385,255,083,
198,133,523,984,935,838,697,690,260,185,257,314,565,991,577,467,177,472,481,
365,578,569,163,608,403,944,112,978,871,825,166,248,303,191,944,644,131,939,
674,921,180,761,955,469,775,901,803,547,099,979,942,703,548,434,442,783,766,
035,719,847,244,760,410,284,758,568,795,110,449,915,098,961,310,644,123,286,
829,712,513,530,972,587,654,930,860,432,599,628,936,093,156,981,732,087,835,
907,785,515,475,506,645,159,445,529,844,419,411,550,263,491,286,389,023,486,
067,464,959,213,377,694,450,445,006,463,001,314,002,378,828,972,769,427,717,
345,288,492,472,382,026,179,873,865,629,387,275,032,888,732,818,722,677,278,
070,365,563,936,240,625,738,608,496,493,784,919,259,396,232,757,636,263,066,
082,757,708,342,867,374,781,760,441,576,891,841,342,340,513,087,693,066,035,
735,916,588,726,282,801,802,772,358,032,490,540,785,628,115,150,145,281,880,
164,674,128,810,154,159,096,866,572,585,302,654,670,985,944,376,378,480,995,
251,998,231,307,370,591,414,671,530,209,548,057,854,379,547,523,695,957,456,
654,915,020,786,615,380,055,710,816,506,560,700,178,807,742,401,102,153,472,
365,221,717,912,233,651,830,748,994,615,744,835,937,427,114,210,504,961,479,
978,685,464,726,713,898,558,905,779,236,547,283,170,129,109,331,038,047,666,
812,954,927,557,007,425,880,566,218,052,281,325,150,185,129,301,552,871,690,
533,918,352,686,395,215,138,525,875,347,046,889,071,772,037,605,098,626,193,
757,234,982,721,210,255,461,089,067,126,211,420,680,754,025,795,168,295,463,
806,888,326,842,678,645,229,643,485,999,424,559,130,210,405,672,344,855,322,
000,064,439,203,634,893,918,911,239,305,868,705,392,164,993,847,692,817,580,
106,449,679,144,504,974,101,990,224,950,050,187,596,334,215,030,985,320,073,
312,547,770,114,212,394,637,967,937,357,258,010,711,995,427,701,097,878,906,
652,191,332,881,791,618,804,388,832,479,555,087,821,281,401,518,617,929,790,
612,311,479,842,427,485,347,461,119,405,731,063,297,172,072,800,262,591,065,
455,755,502,751,659,294,076,709,732,202,630,598,941,460,967,752,120,837,883,
830,760,664,890,320,452,845,800,880,928,953,684,485,770,297,435,266,403,346,
753,729,009,760,546,702,645,064,318,349,424,180,203,462,656,199,954,467,384,
146,319,992,216,990,456,060,487,132,754,609,202,978,191,652,300,591,531,721,
939,727,000,222,637,681,999,245,214,685,093,223,711,379,167,230,152,697,166,
081,007,732,260,374,225,771,514,341,375,754,115,567,741,202,580,422,765,822,
447,037,013,705,693,546,152,997,556,846,595,759,962,995,260,872,630,648,881,
172,635,778,221,845,161,500,518,728,467,734,353,660,220,733,785,538,441,762,
377,505,693,317,670,598,034,683,788,882,551,191,490,576,192,418,791,824,968,
992,704,398,658,213,811,930,203,972,375,091,322,398,378,357,344,457,058,999,
811,708,501,212,791,512,100,999,655,007,290,433,990,452,060,060,860,998,986,
264,202,099,582,658,152,545,627,768,834,725,668,295,012,418,658,274,252,261,
229,559,624,107,566,567,135,253,055,987,019,279,995,453,272,778,471,483,350,
019,467,300,107,827,696,788,273,400,682,629,004,369,230,218,700,935,396,233,
757,650,273,243,290,737,695,376,476,384,733,818,884,244,817,911,883,897,942,
731,223,822,020,235,010,291,886,219,260,654,962,603,536,438,959,511,583,403,
155,183,833,652,463,870,918,154,810,295,851,117,463,669,581,136,955,850,711,
233,939,931,435,423,828,180,941,289,120,740,080,134,072,139,183,381,679,627,
626,684,267,013,850,801,012,632,858,608,020,079,341,785,016,140,542,293,461,
690,597,045,031,469,520,242,060,856,214,823,057,438,126,902,486,013,368,246,
435,789,346,237,450,316,121,230,488,718,203,536,178,525,809,082,564,279,727,
757,095,096,741,966,960,524,713,447,526,688,914,870,689,271,255,239,836,152,
796,445,353,640,676,945,996,204,090,070,464,595,417,013,309,797,497,750,515,
451,873,050,848,406,957,025,228,363,511,318,884,288,650,464,258,830,023,670,
216,322,993,526,096,077,414,215,737,911,783,256,478,609,422,844,197,507,886,
574,431,903,298,912,308,757,371,498,385,137,035,406,199,904,229,439,541,102,
749,560,009,644,131,503,572,054,336,528,944,959,492,283,828,613,002,423,098,
775,241,864,626,901,114,925,269,670,404,975,198,989,725,494,360,331,274,929,
107,678,271,091,039,130,061,369,355,943,504,021,540,560,835,845,896,576,041,
197,084,481,882,332,133,448,021,781,009,864,282,588,468,929,341,591,543,397,
521,537,227,357,967,727,778,090,328,582,448,686,409,174,798,911,995,773,462,
074,456,635,986,282,629,504,618,091,538,398,361,613,173,427,783,478,371,848,
071,697,914,177,615,549,704,219,808,576,633,569,270,249,474,337,027,127,046,
679,913,915,842,535,831,693,488,938,762,263,542,127,466,688,410,676,150,352,
668,370,701,127,167,706,273,976,832,352,381,493,341,570,817,711,694,156,086,
816,668,747,167,666,027,343,122,349,074,611,514,574,568,974,200,027,862,523,
321,119,525,040,387,237,314,770,941,639,854,596,696,593,594,359,301,738,461,
232,250,733,214,740,984,546,526,075,980,940,741,410,426,586,536,191,570,969,
902,119,949,704,408,530,812,300,784,844,899,330,110,193,949,930,215,790,047,
885,190,700,606,043,631,419,186,516,994,983,268,155,740,934,482,124,765,942,
121,089,983,354,201,057,397,870,787,031,470,576,370,200,705,817,266,419,502,
288,612,176,625,148,877,063,214,082,005,794,056,969,470,352,963,900,072,608,
953,651,657,329,395,333,768,920,975,063,913,061,843,033,166,306,747,307,416,
514,495,031,084,772,355,250,968,920,271,379,348,022,850,166,577,269,225,865,
313,178,075,798,735,638,574,203,980,745,036,252,530,646,984,053,952,656,566,
910,925,497,648,294,693,977,277,247,581,145,140,697,323,878,536,816,066,049,
428,208,307,291,462,927,751,213,308,068,139,696,890,146,446,162,505,584,228,
524,761,066,886,265,418,145,883,534,428,658,143,063,090,700,900,575,942,280,
808,268,410,997,084,035,747,323,351,207,589,413,133,875,893,579,223,227,515,
391,957,411,355,320,738,575,156,057,574,997,814,173,810,111,760,674,212,400,
336,017,044,613,382,133,934,677,228,054,102,080,974,601,929,301,159,553,636,
972,961,863,571,279,209,820,364,856,111,882,645,569,180,545,778,478,734,754,
372,527,867,378,814,424,591,226,158,599,925,287,200,418,277,973,013,192,869,
027,004,699,973,850,307,600,521,601,857,559,983,232,347,891,179,518,064,588,
128,224,524,135,919,500,294,484,911,775,193,621,909,576,664,918,223,729,363,
502,956,264,655,182,052,129,984,432,463,338,577,029,275,680,966,422,953,340,
024,252,210,951,116,277,082,084,640,628,334,232,339,520,150,100,881,908,221,
251,618,086,358,396,662,820,283,150,049,075,472,739,992,563,905,890,867,318,
763,469,981,590,416,104,648,711,460,225,447,232,344,742,456,565,251,803,278,
723,406,781,007,217,883,948,167,089,201,565,278,607,882,153,640,697,280,613,
555,162,629,342,965,076,829,066,657,344,614,665,616,997,155,088,116,712,588,
633,113,679,662,369,604,111,738,369,985,571,476,526,342,220,974,442,955,859,
222,003,936,677,257,583,189,448,958,562,279,125,580,808,823,138,945,482,749,
813,895,547,675,449,908,569,813,911,535,747,169,071,738,123,186,484,261,994,
179,204,890,757,796,520,519,417,699,019,943,007,598,761,193,225,622,081,007,
941,126,069,237,918,356,822,771,486,039,160,814,594,059,347,532,664,867,778,
420,164,243,403,961,257,264,128,516,076,269,625,859,217,907,628,637,998,799,
842,325,994,531,861,067,939,113,336,549,885,673,353,586,802,595,632,846,666,
956,679,081,497,978,348,416,077,673,498,283,332,430,739,270,111,683,950,752,
872,783,236,902,198,431,738,475,960,144,167,649,877,072,169,541,548,620,800,
087,636,143,708,440,521,586,414,959,453,119,904,348,232,026,913,624,906,141,
194,698,870,215,095,528,682,027,012,994,784,501,876,873,341,756,955,443,383,
896,798,243,665,999,073,389,986,591,580,027,347,579,825,857,940,265,925,324,
136,438,954,511,305,247,819,014,066,874,650,411,717,974,009,017,091,629,326,
468,873,450,372,551,874,399,883,292,890,551,246,167,829,413,563,863,576,864,
138,360,969,867,948,286,569,612,054,274,076,325,199,470,724,552,026,939,192,
833,328,895,271,750,290,440,898,724,628,267,337,614,519,142,032,608,398,823,
309,780,412,838,046,182,526,338,383,422,141,796,417,950,902,487,968,574,585,
645,164,320,608,913,311,320,531,820,974,222,707,817,761,140,569,783,277,073,
820,282,587,305,820,297,943,834,058,029,372,139,885,147,637,698,014,559,061,
322,315,491,427,495,575,314,950,183,135,208,912,297,333,464,109,133,457,503,
897,093,984,312,560,634,962,730,776,230,858,041,324,908,459,278,028,209,277,
843,412,482,018,283,745,941,084,676,334,444,794,361,814,355,015,958,551,822,
111,647,609,393,512,332,119,357,817,414,575,075,665,748,888,657,368,372,381,
196,843,184,899,325,986,905,345,778,955,269,003,235,933,912,757,596,069,858,
613,319,010,543,098,928,593,197,624,993,327,003,561,663,055,689,129,244,599,
951,745,995,538,612,288,547,279,335,263,787,467,214,361,191,947,990,106,949,
641,732,412,886,209,479,842,563,766,176,489,075,065,511,440,809,070,390,395,
523,192,127,311,028,555,164,175,333,452,036,058,454,174,912,285,603,495,454,
214,559,824,676,843,761,887,233,864,871,313,213,329,407,989,489,690,533,595,
931,849,774,456,841,275,285,534,782,028,169,857,200,716,253,036,644,346,744,
947,448,939,438,710,139,109,100,188,987,185,152,713,388,378,409,422,023,626,
514,835,117,400,695,794,149,281,952,042,173,962,774,625,662,840,703,462,688,
667,706,705,672,503,257,660,830,323,516,996,303,794,894,625,177,173,035,066,
598,391,296,483,659,368,785,456,462,140,967,023,590,259,476,359,437,994,003,
466,933,205,484,516,394,261,085,076,200,920,193,165,165,132,614,749,229,174,
467,396,536,517,832,281,373,077,781,189,018,113,845,632,739,548,131,566,406,
698,928,959,878,487,881,439,122,261,798,539,027,212,366,940,342,116,319,971,
812,334,719,188,109,919,132,280,560,318,331,955,523,074,234,012,793,923,411,
770,236,988,902,791,547,499,331,923,979,189,251,487,999,212,864,041,921,605,
448,675,080,049,486,673,759,171,669,159,884,590,445,432,080,750,853,654,337,
330,825,567,069,961,979,070,055,116,141,077,077,756,680,828,103,349,433,304,
334,688,120,056,226,410,190,376,072,018,233,886,911,341,394,071,799,542,960,
606,564,719,863,215,297,360,154,579,528,919,512,562,156,058,791,960,524,773,
978,121,130,416,405,536,468,276,805,847,471,856,870,444,176,296,576,150,158,
721,975,908,462,511,814,182,498,872,369,921,246,469,971,394,757,350,558,665,
706,662,258,098,984,121,578,622,944,097,343,567,920,799,294,008,189,476,587,
968,152,758,546,022,563,046,066,194,800,266,627,721,118,632,222,898,803,942,
577,759,701,160,990,554,481,236,293,655,295,708,080,706,010,051,696,590,923,
091,023,136,088,659,239,054,328,565,248,507,777,138,696,897,314,378,811,592,
329,533,213,920,692,960,575,496,625,878,351,116,026,440,840,773,988,173,928,
832,721,545,997,424,251,338,078,438,390,182,863,421,431,792,515,843,786,488,
429,895,903,690,049,179,359,874,096,923,962,886,666,142,355,797,586,560,358,
929,190,988,659,658,903,219,277,087,210,372,058,764,896,006,662,877,806,006,
394,357,333,872,572,432,286,800,021,616,871,662,879,987,050,165,632,529,444,
909,166,699,627,116,933,690,862,509,287,701,689,902,344,037,093,214,008,991,
124,293,086,224,662,353,925,590,205,837,174,163,316,435,321,569,027,879,381,
553,459,126,983,964,663,606,100,391,588,954,214,410,752,279,414,181,786,406,
300,936,271,998,974,516,620,998,136,246,153,191,550,672,154,797,004,577,511,
399,109,011,423,908,994,591,012,612,479,899,516,797,215,962,499,193,055,916,
652,857,368,264,087,716,349,304,895,022,561,171,339,365,272,675,100,683,548,
542,362,524,970,117,456,368,345,987,115,564,185,646,859,079,656,960,607,669,
298,021,588,000,609,809,895,468,818,326,677,531,903,023,773,951,367,504,649,
155,777,626,208,206,850,649,868,122,341,572,391,371,733,238,740,818,281,320,
999,421,644,615,068,353,264,296,326,519,191,357,654,254,031,240,910,608,838,
181,912,184,781,602,369,892,859,250,498,203,474,791,695,073,975,704,442,438,
641,952,458,980,964,896,539,760,223,926,884,343,205,630,508,802,350,513,318,
616,820,312,429,449,001,024,017,873,472,553,784,737,681,993,357,583,392,982,
481,054,679,185,074,110,872,213,427,539,179,692,408,461,104,025,941,729,654,
894,569,108,666,080,261,231,202,778,032,910,927,697,004,997,880,877,933,597,
874,012,433,158,911,711,631,777,429,783,695,933,300,735,262,376,210,170,868,
428,653,050,504,735,814,441,832,410,768,334,211,629,516,109,008,302,232,166,
390,445,695,982,116,042,232,928,955,476,053,346,835,636,987,819,444,835,174,
623,452,940,999,758,919,997,383,470,832,835,885,737,283,871,728,218,181,681,
579,906,089,967,147,239,024,190,941,373,949,528,041,575,694,245,466,060,338,
055,699,170,799,686,221,338,256,500,246,289,061,586,085,469,532,107,238,186,
447,520,232,327,021,416,046,208,527,552,144,574,256,601,940,674,690,821,671,
098,268,514,650,919,969,167,010,785,477,943,385,070,629,958,691,349,214,593,
079,490,651,692,862,414,280,950,316,834,666,588,120,288,504,989,357,419,464,
219,634,812,465,310,281,036,433,486,324,667,287,756,203,100,867,936,773,633,
089,171,193,905,030,339,327,900,282,151,322,494,178,577,147,103,282,207,080,
040,155,665,521,815,524,039,823,145,978,975,705,292,889,882,855,402,476,340,
717,771,862,419,795,566,243,797,159,686,426,048,527,170,651,673,508,444,263,
379,924,812,744,521,837,473,126,249,614,032,146,271,978,897,224,017,455,852,
569,948,855,283,878,729,068,550,577,234,438,462,300,986,373,059,431,429,937,
205,068,970,623,489,087,136,238,286,811,760,535,065,326,051,618,435,715,261,
792,406,910,744,319,068,292,145,285,136,217,412,285,127,075,078,222,672,998,
434,973,597,523,430,137,699,634,150,274,272,046,370,273,183,344,378,588,921,
259,090,862,712,169,170,343,914,277,863,393,555,654,011,263,881,237,464,301,
404,671,341,936,924,985,244,645,530,331,550,418,150,269,861,201,028,192,133,
241,095,287,070,641,975,969,490,380,125,869,630,970,867,891,500,029,231,525,
198,950,822,245,505,244,734,613,784,281,313,758,857,846,598,114,346,348,134,
285,233,969,298,656,553,551,496,113,545,956,475,905,354,946,221,130,075,158,
927,976,608,722,510,477,876,277,625,143,612,441,447,512,098,191,152,334,643,
821,906,845,061,266,478,145,864,351,162,256,128,864,624,413,783,861,872,915,
587,118,882,043,615,742,563,915,084,246,322,451,002,098,803,505,141,358,482,
722,826,963,988,962,371,555,564,810,280,264,110,846,708,829,551,685,495,603,
230,829,340,943,891,099,785,364,765,081,309,012,034,340,470,866,937,331,619,
963,734,427,832,832,336,971,720,714,102,675,017,567,466,081,748,393,636,207,
739,440,627,459,595,372,062,740,514,224,610,774,456,543,138,978,213,114,585,
494,015,255,783,027,442,880,732,394,998,146,732,614,412,603,832,134,482,196,
129,003,648,656,506,060,326,753,136,695,911,777,440,859,939,368,291,121,718,
655,038,654,059,310,149,710,133,975,613,315,426,848,027,917,411,686,958,251,
925,298,084,333,764,972,570,667,682,742,205,001,625,738,859,629,138,698,526,
853,872,303,475,506,632,518,884,521,068,738,536,995,917,124,985,155,222,258,
863,402,187,991,442,821,659,157,394,097,731,578,618,756,117,144,239,570,879,
722,581,796,585,258,144,919,404,545,627,316,865,979,752,513,514,239,053,776,
941,592,498,009,305,342,247,157,059,547,505,499,511,365,656,263,600,113,799,
301,151,882,471,766,802,408,531,480,035,201,934,915,472,420,976,074,190,456,
420,054,531,264,712,434,861,243,345,546,235,764,492,110,107,105,203,941,473,
153,971,667,190,356,302,550,643,499,688,883,116,445,813,056,710,822,451,313,
904,521,813,107,167,702,211,719,112,816,892,608,940,143,692,422,422,754,385,
009,448,672,780,630,118,217,237,278,053,810,583,836,221,690,699,818,124,268,
297,281,223,679,881,986,097,481,120,035,785,310,741,590,296,523,885,770,743,
564,393,966,849,476,008,046,212,789,183,315,134,175,254,697,780,134,608,227,
228,756,379,647,726,049,364,502,420,466,726,300,737,669,972,947,700,861,314,
926,831,924,395,722,990,348,985,346,979,155,641,443,638,024,480,337,751,902,
632,926,352,593,967,945,178,565,635,220,856,237,641,418,859,353,971,146,187,
435,799,657,970,631,698,619,749,362,737,578,711,276,004,724,778,352,090,373,
528,905,822,643,634,431,183,392,815,867,446,999,751,664,708,508,344,930,126,
694,901,389,070,722,927,371,998,496,389,164,880,092,228,066,360,136,362,018,
181,280,144,821,491,085,526,844,135,935,900,681,093,527,675,202,120,184,862,
199,049,833,898,249,325,403,168,574,053,263,321,042,090,816,142,733,912,853,
070,615,610,270,214,202,410,107,842,316,091,568,790,224,403,889,184,367,858,
255,280,286,618,753,504,842,692,773,839,718,948,426,422,023,518,449,946,199,
687,212,253,396,178,553,643,524,252,436,469,573,857,481,418,320,257,891,969,
446,438,447,462,903,726,123,740,342,380,763,647,839,413,009,231,065,305,036,
989,788,804,598,581,551,454,626,179,015,592,703,722,591,862,465,486,969,067,
152,274,592,695,008,724,677,370,199,392,154,722,977,480,501,658,011,627,390,
377,104,782,971,207,398,688,885,311,622,373,387,328,890,497,444,825,472,492,
126,000,954,642,792,172,654,249,869,281,932,763,689,854,799,109,180,134,240,
904,914,519,538,747,720,395,167,571,566,095,076,714,253,108,110,105,169,847,
450,700,592,695,187,284,008,218,487,470,279,639,319,190,508,191,833,227,333,
419,664,842,513,541,817,495,896,190,852,485,190,501,405,569,813,299,386,940,
488,198,459,097,825,194,526,967,340,741,036,276,157,871,331,642,055,679,751,
487,861,687,179,052,954,825,164,264,909,970,437,909,911,986,044,195,408,784,
295,267,748,114,493,614,771,920,120,476,014,139,968,365,884,058,032,971,439,
608,488,832,559,098,475,835,865,428,709,463,746,508,161,776,246,922,504,619,
992,722,166,035,531,563,182,542,134,262,464,325,695,153,527,591,172,784,633,
460,294,980,528,137,670,895,950,326,620,622,614,859,317,331,586,796,423,258,
411,632,867,573,827,795,144,821,750,118,523,169,537,473,378,168,418,315,369,
764,940,614,224,280,401,348,875,617,387,628,373,797,144,912,703,749,007,328,
019,989,726,723,586,161,542,436,054,546,886,365,117,837,049,130,258,150,895,
393,024,208,301,493,620,948,947,364,406,241,157,726,706,022,528,622,770,644,
508,003,009,137,247,479,502,035,675,932,628,435,656,567,046,524,576,909,382,
942,037,978,324,529,913,584,964,364,791,692,808,655,715,442,974,790,119,730,
984,450,836,727,005,433,340,319,730,399,823,883,311,279,809,451,527,289,269,
284,737,123,522,968,975,449,731,228,817,432,947,808,914,059,159,536,433,078,
572,649,539,784,305,202,506,522,130,833,317,173,490,716,576,516,663,205,126,
000,622,887,952,601,859,569,915,886,397,162,377,243,612,505,451,889,096,095,
573,763,616,630,387,274,110,375,097,808,349,575,604,262,310,136,160,822,219,
823,385,265,478,121,476,590,690,001,614,136,957,040,601,024,944,873,165,151,
040,846,299,190,457,159,624,298,963,580,841,654,970,708,607,881,018,317,989,
294,405,846,817,056,582,858,394,310,186,299,566,369,730,069,361,682,325,516,
265,790,024,494,514,309,451,252,508,081,228,026,321,510,365,182,585,816,776,
668,371,978,315,074,070,639,024,537,350,220,104,399,415,283,149,886,028,170,
483,875,385,878,257,286,852,475,285,125,619,388,180,736,810,009,741,107,978,
056,085,970,246,220,778,113,413,904,871,937,156,521,528,726,836,883,394,242,
518,306,941,378,550,700,628,927,152,256,482,082,175,289,876,345,540,947,803,
070,704,779,988,602,676,168,828,888,059,884,847,190,975,015,020,940,341,866,
532,573,877,110,045,590,467,557,190,665,930,611,067,476,149,087,541,311,496,
880,152,683,930,260,963,950,158,841,503,271,176,723,696,999,041,731,181,020,
311,696,715,377,213,930,663,743,725,007,967,678,957,628,670,269,677,516,210,
227,096,281,148,642,661,854,724,618,588,390,981,465,637,467,013,546,937,581,
426,596,606,045,608,605,616,438,073,475,943,503,745,259,877,238,692,736,476,
272,772,698,607,132,568,448,768,752,033,802,511,400,838,938,756,193,071,967,
835,786,730,801,025,996,251,949,180,616,273,356,608,570,854,953,438,299,831,
328,998,942,949,927,889,421,451,776,421,472,299,297,753,473,240,806,854,785,
845,053,010,453,812,107,315,669,624,923,226,632,007,009,157,589,095,738,309,
292,009,532,024,054,777,103,515,827,699,738,054,144,423,212,989,152,338,660,
333,033,579,815,771,368,487,976,886,647,729,708,222,926,100,172,080,126,727,
504,989,779,282,705,164,637,590,361,169,199,853,543,970,701,467,837,458,695,
445,637,640,600,235,572,918,032,098,459,891,835,901,629,969,893,019,176,334,
027,862,750,753,982,094,660,760,519,224,337,427,702,226,925,439,972,100,670,
323,001,183,924,137,032,387,764,103,254,521,491,439,297,434,835,069,449,018,
907,765,205,153,549,920,277,199,798,172,145,786,907,959,181,738,684,723,400,
665,362,218,257,392,120,250,710,692,412,170,812,665,530,968,140,611,653,147,
373,596,178,192,855,887,418,518,592,364,180,871,835,659,684,319,525,015,223,
204,392,450,271,884,411,650,579,010,080,140,498,288,945,019,335,836,362,732,
041,993,220,913,189,424,739,018,780,702,470,956,029,168,063,618,350,743,440,
236,103,773,862,533,183,412,189,567,572,300,415,178,216,842,529,747,354,983,
544,544,534,430,521,648,477,766,992,841,548,201,058,253,225,154,624,250,968,
510,518,565,522,725,004,162,137,363,464,526,786,495,419,028,187,724,169,718,
750,668,021,598,287,696,234,839,016,461,023,566,631,631,212,490,669,247,741,
171,250,224,953,496,320,591,882,425,103,087,803,534,245,063,017,123,166,026,
384,709,467,448,067,208,506,957,655,441,367,102,109,424,223,091,920,814,043,
664,797,667,075,879,346,741,949,527,758,517,482,278,681,880,855,599,448,221,
562,216,431,660,589,884,217,123,634,753,299,071,016,939,595,859,488,664,794,
519,961,376,210,183,115,265,227,856,423,975,406,093,715,285,398,576,832,880,
302,532,458,506,112,897,168,095,114,221,453,745,040,412,544,472,130,904,960,
715,481,777,514,841,779,735,691,777,186,230,429,411,995,766,276,849,170,070,
583,801,717,158,829,353,247,804,582,801,880,419,642,127,692,599,322,194,350,
933,518,108,430,501,673,565,992,546,287,822,099,809,072,272,125,649,488,204,
351,755,089,819,256,618,020,219,946,452,937,232,113,550,789,917,625,297,069,
251,492,046,947,465,737,239,245,722,070,840,967,278,978,921,850,782,458,518,
680,834,642,729,600,920,621,549,081,521,023,036,000,848,373,048,182,793,294,
419,389,787,907,226,979,025,305,697,411,020,842,895,732,250,579,827,382,348,
934,075,597,818,501,088,616,712,747,076,971,613,208,891,662,504,467,668,748,
307,031,780,903,949,178,184,481,098,916,909,350,805,970,784,077,865,531,339,
241,158,136,049,509,942,735,093,720,545,451,416,660,889,895,191,531,019,148,
539,604,551,121,095,312,962,461,188,437,796,751,664,846,159,677,742,042,804,
402,782,037,554,879,876,285,279,721,313,658,954,370,389,501,293,904,669,069,
255,371,942,449,207,031,443,294,596,758,122,300,697,194,132,490,321,185,728,
397,902,427,029,922,559,619,153,012,456,209,754,684,992,039,666,107,032,693,
434,401,514,346,498,894,241,991,802,791,648,695,356,261,929,691,034,521,786,
723,155,272,796,973,881,879,033,920,649,172,695,308,671,706,958,728,187,866,
708,732,598,214,371,864,326,264,246,496,290,179,440,172,319,017,073,729,591,
749,663,884,871,657,069,016,369,737,575,327,368,280,003,909,168,773,726,640,
740,473,316,094,267,732,273,857,775,788,084,413,158,132,841,295,764,153,639,
768,216,517,215,811,884,282,016,660,253,406,608,340,535,694,910,403,897,012,
551,949,642,328,591,793,475,537,047,548,480,326,437,563,636,992,817,889,938,
392,068,047,979,952,142,273,480,695,784,330,863,603,167,167,720,641,504,143,
809,529,935,038,785,346,040,086,734,909,190,610,646,547,360,534,506,685,817,
860,369,206,898,023,412,635,482,430,418,204,812,522,096,626,112,809,692,345,
598,931,635,577,793,966,087,493,295,046,803,653,233,292,290,841,447,113,108,
519,401,290,253,177,094,820,970,849,847,454,656,901,946,562,677,792,557,870,
355,835,896,762,224,281,923,373,646,068,983,049,420,310,536,459,974,680,713,
939,365,724,517,496,566,405,205,170,122,985,435,554,848,020,738,694,962,346,
663,114,965,527,912,741,631,629,824,809,722,040,023,847,099,717,353,860,922,
918,326,260,266,132,273,743,694,483,349,583,774,431,011,092,838,313,128,626,
474,797,257,951,680,617,948,095,936,214,300,547,840,980,430,686,742,998,038,
327,980,102,473,648,587,414,713,610,548,032,299,280,138,771,107,472,024,555,
138,427,625,341,383,911,479,389,590,471,153,605,707,235,741,215,262,274,391,
792,550,143,016,285,378,879,454,132,703,744,252,230,745,136,241,295,617,459,
195,446,268,269,763,739,959,543,331,080,048,820,236,510,044,043,686,496,713,
590,317,535,769,163,133,556,215,605,857,514,264,672,760,135,901,676,879,918,
169,135,444,970,675,534,734,695,376,212,435,618,473,154,433,024,636,983,359,
234,398,076,122,508,173,757,724,251,983,991,074,997,988,759,509,979,648,667,
271,855,340,413,400,002,088,349,886,917,672,241,952,775,491,500,502,478,066,
024,434,519,957,597,333,208,224,194,918,222,593,276,404,237,595,943,759,732,
933,250,119,508,496,488,850,601,487,535,281,031,582,164,803,148,456,367,529,
600,776,012,465,111,224,534,234,887,828,269,393,241,473,726,820,199,437,862,
332,582,601,589,730,845,259,774,189,399,957,903,463,939,633,198,192,868,970,
374,024,211,184,421,837,775,820,233,082,071,972,408,224,700,173,014,588,769,
865,722,653,329,914,517,880,612,608,706,518,094,673,852,977,779,843,718,918,
451,009,613,308,193,396,734,100,770,552,447,617,253,507,705,496,579,306,059,
792,609,583,592,666,319,131,003,423,315,755,673,209,280,512,990,650,533,382,
669,171,181,712,774,495,495,341,719,285,692,774,371,952,481,224,490,390,281,
812,508,806,837,139,985,811,816,563,665,943,699,600,895,625,175,165,282,140,
578,021,990,470,248,628,667,689,437,474,598,355,390,862,020,496,034,018,971,
711,026,795,999,705,158,813,029,566,327,902,501,115,228,379,525,696,613,641,
460,228,840,530,353,016,309,216,085,942,235,997,719,270,182,976,069,533,280,
924,575,762,679,932,602,216,102,084,397,278,386,612,561,235,352,720,324,910,
647,316,381,976,745,031,203,080,200,180,372,449,924,697,412,598,804,481,290,
080,977,634,894,356,506,208,695,955,599,705,987,238,909,189,844,233,702,659,
298,694,543,336,746,028,124,864,327,439,793,152,944,755,213,670,728,344,137,
320,385,416,857,412,033,597,181,366,090,368,942,475,370,613,753,210,063,572,
682,301,557,980,743,058,586,489,311,443,852,952,110,566,289,187,354,220,191,
171,648,156,342,735,808,861,374,366,407,339,912,243,133,617,329,502,450,431,
721,522,683,027,567,512,884,935,158,720,613,197,325,994,368,348,302,426,925,
312,001,734,821,642,169,983,081,774,281,202,619,303,524,207,022,874,069,458,
115,261,369,638,528,151,484,661,743,546,553,365,417,616,760,401,219,623,800,
631,768,368,170,350,214,350,424,221,104,000,097,615,966,990,470,853,328,872,
300,599,943,844,191,705,093,734,971,740,804,287,858,971,373,615,243,437,224,
205,848,978,251,693,716,757,695,913,438,065,846,132,951,038,906,219,707,587,
872,600,513,962,769,544,665,606,069,988,265,296,900,285,863,666,767,575,501,
018,250,882,510,892,479,045,075,851,050,091,925,754,822,153,423,308,957,342,
258,733,393,339,065,016,398,646,864,586,744,526,925,009,409,842,730,127,241,
957,499,711,456,231,514,273,147,063,758,693,958,481,919,154,929,335,248,729,
197,497,191,168,963,372,124,043,856,771,657,153,783,373,110,372,016,346,106,
656,721,894,555,046,060,526,444,762,886,308,218,526,034,617,395,602,351,435,
594,615,296,347,893,483,760,815,096,562,370,692,458,065,580,065,871,700,119,
521,675,528,422,210,876,069,577,748,733,172,187,980,466,399,727,314,193,883,
651,642,777,575,210,376,533,449,931,008,595,399,231,133,746,749,519,390,591,
044,284,203,228,217,597,595,075,922,703,802,562,095,195,668,958,274,222,301,
308,342,601,897,199,213,744,056,727,760,201,905,318,630,199,288,420,569,278,
049,910,340,739,181,438,492,738,680,073,674,757,043,638,293,680,690,539,144,
761,086,476,040,575,863,250,925,883,511,159,951,734,900,549,392,326,131,145,
467,282,048,514,367,574,229,739,365,052,539,690,140,403,226,238,250,871,827,
220,260,149,115,780,967,750,671,395,585,944,855,533,479,715,395,798,064,177,
684,794,152,031,320,316,807,596,850,062,628,757,995,710,117,361,939,744,581,
235,894,356,352,572,051,975,681,657,194,922,627,182,649,872,240,013,757,024,
512,051,285,811,326,385,414,557,307,603,010,824,627,362,277,021,070,797,920,
084,201,433,802,957,242,711,428,575,977,549,563,048,763,301,739,783,864,247,
729,570,351,422,529,438,159,937,889,466,596,807,034,147,977,401,316,623,777,
176,226,878,879,834,978,835,926,529,718,865,317,895,910,429,271,172,805,017,
633,992,481,842,866,819,846,409,469,109,112,728,340,978,145,350,669,759,258,
049,078,382,089,597,050,785,195,182,088,201,572,778,442,858,097,229,224,413,
930,366,223,211,432,921,598,525,504,180,294,915,901,975,687,526,819,755,046,
498,370,155,500,367,564,194,956,590,841,782,179,499,174,063,752,984,821,318,
355,147,800,961,510,783,231,688,608,801,704,024,897,794,195,152,019,229,859,
634,582,322,315,762,946,095,508,970,201,289,145,314,669,432,037,653,761,773,
306,549,570,693,332,240,378,623,762,860,302,960,481,904,990,312,596,198,272,
732,681,215,653,666,060,162,461,577,917,188,928,856,992,401,624,187,295,299,
258,527,602,787,104,751,180,076,395,498,378,686,271,927,682,625,409,600,952,
128,512,517,110,200,197,960,813,029,440,528,488,154,934,125,604,393,281,246,
826,445,889,475,830,637,358,877,333,566,873,453,787,275,064,376,145,261,589,
616,723,030,354,223,773,458,259,362,039,730,106,464,486,760,540,513,480,268,
664,147,057,053,156,330,214,796,058,868,522,582,030,209,217,977,511,606,653,
775,968,889,844,821,209,396,506,939,702,607,874,859,196,970,443,986,387,862,
380,442,346,270,134,436,996,157,115,745,100,263,843,313,155,370,012,487,424,
789,188,654,757,151,157,204,771,410,228,978,622,392,828,498,533,077,995,977,
391,355,016,282,253,618,277,519,328,272,839,628,061,051,880,965,370,902,988,
537,350,936,673,732,566,548,882,857,825,065,220,299,949,334,325,699,564,937,
811,279,550,630,108,045,235,086,544,998,715,127,443,409,454,319,928,428,170,
533,349,998,622,483,053,617,462,988,165,469,812,552,612,924,873,965,177,367,
928,927,883,764,767,793,771,667,832,724,676,433,970,074,356,935,116,418,409,
416,439,091,233,940,299,154,619,861,704,315,145,216,428,342,702,099,669,712,
650,514,143,097,564,165,700,520,325,643,806,245,939,301,148,159,061,975,094,
940,156,661,915,195,963,867,761,799,535,614,380,351,559,642,373,347,979,380,
171,003,230,541,452,682,198,025,190,500,798,628,156,097,762,824,334,954,040,
432,522,503,217,779,430,247,322,435,835,652,702,153,769,613,495,896,966,507,
008,725,195,105,309,729,157,037,541,537,757,437,266,045,315,636,339,535,494,
535,327,473,904,799,824,853,371,166,572,575,647,139,296,551,272,603,352,227,
899,597,745,331,389,944,128,474,173,037,470,996,467,306,983,131,716,240,666,
346,365,472,584,158,807,838,140,670,297,884,549,433,798,251,985,068,826,282,
890,106,923,545,328,200,841,848,795,560,493,664,306,692,830,362,778,719,959,
984,460,793,824,765,136,730,899,929,077,238,584,020,009,075,572,900,730,934,
805,562,291,495,675,704,874,908,360,472,186,664,073,024,648,546,896,936,729,
239,959,345,880,662,605,118,451,707,938,658,201,583,380,076,730,138,707,723,
472,780,162,367,925,544,750,869,327,304,424,501,250,452,463,001,542,225,356,
802,459,593,587,626,589,439,550,374,619,759,291,522,005,176,897,748,810,122,
836,883,116,649,203,433,172,972,075,915,165,020,485,128,045,282,271,261,407,
426,096,887,417,873,627,408,449,874,287,524,469,510,047,067,856,782,217,575,
696,303,084,976,002,086,359,335,590,288,164,076,653,964,285,179,199,639,205,
705,005,207,939,017,262,392,979,892,864,389,265,224,103,395,599,367,182,907,
718,865,223,794,545,785,889,871,630,705,732,851,165,633,727,994,148,840,657,
705,565,571,766,933,272,526,617,867,410,449,557,611,292,149,537,697,961,746,
199,321,192,092,893,432,838,359,505,589,645,869,914,163,640,318,024,436,429,
895,097,757,517,134,793,056,532,708,973,323,796,538,949,017,520,710,124,151,
779,451,599,878,220,653,370,633,534,137,377,921,702,908,660,474,871,055,384,
437,003,007,475,131,275,433,306,976,321,783,837,479,154,016,332,236,395,657,
791,420,433,384,773,739,248,600,760,988,001,816,785,043,212,342,173,988,322,
519,070,452,338,943,880,263,339,471,819,723,658,841,008,800,038,060,368,909,
263,109,997,341,495,144,057,917,318,775,420,528,112,662,224,971,549,764,752,
433,863,407,632,196,665,507,973,909,626,978,420,510,119,335,436,785,611,251,
826,780,656,705,438,587,715,951,414,489,122,258,286,512,242,123,714,950,625,
903,925,707,988,449,774,808,101,591,031,431,352,878,370,436,467,059,355,783,
159,919,997,882,711,878,713,163,318,125,521,223,271,337,658,235,361,949,582,
019,543,816,085,871,021,994,711,795,754,399,630,569,269,566,469,954,904,275,
264,237,932,719,710,634,193,442,352,674,845,840,315,656,663,684,081,799,865,
237,018,013,503,991,660,240,517,491,838,022,081,196,090,279,778,849,202,324,
652,983,992,434,111,440,962,759,961,472,155,780,263,317,055,781,314,228,712,
554,632,900,604,880,856,132,556,837,912,453,895,156,238,547,540,938,381,968,
414,653,076,507,095,652,335,394,475,398,235,498,494,579,009,998,166,511,526,
763,517,783,412,566,538,507,758,782,679,429,911,682,218,005,363,464,201,260,
736,245,969,240,476,060,894,814,760,458,097,534,659,654,794,250,030,931,168,
419,795,295,284,527,549,570,741,089,711,385,693,538,373,858,068,785,644,502,
598,022,129,087,586,375,532,245,971,989,836,535,795,826,564,532,174,445,073,
095,643,081,336,680,359,803,897,791,128,160,908,854,430,346,286,326,933,465,
770,003,574,332,158,104,652,135,236,951,158,110,752,631,152,679,572,397,261,
478,475,389,483,003,469,403,056,493,578,816,462,926,274,450,157,451,308,432,
716,401,141,538,923,992,762,112,416,484,813,343,442,531,129,833,600,920,753,
210,223,507,536,693,285,741,294,417,958,506,343,532,200,348,542,757,818,735,
755,947,780,251,179,492,765,191,208,401,553,873,710,174,809,838,934,695,369,
714,582,366,843,277,432,327,754,807,133,837,604,173,462,095,706,641,563,073,
465,923,740,416,192,295,687,142,523,742,718,657,525,861,820,528,093,852,754,
614,632,674,567,253,489,719,731,253,656,316,140,911,981,034,539,482,762,698,
046,186,163,930,775,907,847,037,954,899,117,326,813,868,370,150,234,522,017,
647,173,278,800,065,388,354,075,010,466,900,644,876,955,598,845,233,372,029,
215,064,150,720,561,088,457,372,819,125,006,420,351,670,152,098,960,520,836,
828,704,015,981,193,253,171,298,830,933,827,005,595,877,733,139,854,348,877,
195,076,719,351,890,566,951,921,380,428,900,761,748,867,849,917,232,519,919,
780,440,047,440,635,804,464,046,369,685,099,462,644,575,010,738,666,464,436,
154,033,278,092,523,235,644,733,348,020,236,385,023,581,873,954,389,410,039,
945,969,070,204,259,051,619,501,253,919,481,404,015,252,108,518,993,364,941,
704,543,760,245,647,825,693,986,303,485,098,257,870,070,248,033,366,930,537,
055,143,116,712,245,371,759,662,422,487,936,218,526,849,203,318,219,192,275,
993,259,991,302,161,924,021,133,537,221,447,960,839,667,956,804,360,343,507,
794,742,849,543,345,183,986,962,782,146,571,081,840,894,776,596,401,075,911,
724,401,874,266,099,187,775,266,727,923,602,630,452,868,882,679,906,203,807,
406,372,673,837,817,753,272,877,454,593,118,648,124,622,783,473,296,157,530,
117,952,471,001,992,729,930,072,280,796,246,708,799,515,084,065,369,535,789,
485,283,601,991,631,262,918,513,275,184,132,806,127,439,703,536,554,951,096,
281,603,841,964,856,843,367,824,049,999,844,815,807,604,860,997,708,700,726,
823,315,742,269,487,891,061,972,490,899,140,951,109,239,972,290,137,321,586,
943,556,177,522,304,506,129,480,291,239,004,253,205,530,918,893,990,988,710,
159,959,764,951,561,798,597,756,277,523,987,935,154,409,016,228,376,037,284,
322,223,577,693,690,007,054,614,233,195,356,707,146,940,667,451,822,765,077,
068,783,518,599,031,843,684,371,481,961,307,032,476,774,521,711,880,739,938,
403,959,249,664,018,089,544,422,501,235,337,218,656,892,942,896,805,425,448,
809,231,171,800,372,288,315,166,868,218,787,064,805,734,289,032,390,027,346,
330,095,928,471,521,337,995,824,275,779,114,323,176,375,873,549,751,798,769,
943,017,980,605,376,978,761,022,036,214,394,455,122,138,513,165,615,332,037,
971,927,306,352,304,639,680,593,994,430,167,296,992,522,949,682,615,626,858,
590,242,058,955,257,965,956,962,345,292,440,310,111,481,228,930,652,069,152,
133,863,541,966,539,535,937,009,978,059,508,228,487,204,826,269,477,555,119,
318,680,369,156,350,062,050,755,629,440,550,407,536,461,621,544,208,332,465,
693,533,716,894,838,709,623,923,573,936,927,108,638,353,565,587,060,741,836,
434,559,715,913,266,912,602,032,911,216,186,702,641,167,293,625,557,821,321,
504,927,675,926,754,101,479,968,211,974,335,380,264,771,341,288,277,139,596,
227,985,948,756,176,468,985,587,541,481,875,729,880,533,163,663,487,797,898,
108,877,785,633,716,423,345,105,934,177,883,247,450,371,252,354,228,726,659,
463,525,699,406,220,888,462,994,820,871,593,646,673,864,366,470,190,693,860,
436,846,669,702,655,816,910,356,989,986,041,402,672,802,898,358,196,632,444,
311,556,163,395,074,414,700,949,750,799,341,193,787,632,815,288,084,802,630,
271,803,390,567,121,983,800,747,172,024,956,751,008,090,271,342,688,098,394,
429,024,685,291,547,251,959,476,980,659,978,669,570,492,890,826,843,281,281,
644,685,995,246,109,533,260,276,395,872,838,857,420,544,948,200,360,919,354,
561,328,994,884,326,072,835,196,232,979,234,508,868,183,587,458,194,145,977,
226,197,579,635,010,968,493,193,706,317,584,836,907,714,322,730,368,974,606,
056,435,583,511,335,290,515,140,665,541,094,513,343,930,739,110,643,228,024,
502,969,842,461,723,344,845,005,141,447,930,825,213,874,583,199,417,999,804,
177,513,777,988,592,286,682,269,444,950,613,554,213,815,503,163,457,398,681,
316,891,492,977,010,559,734,498,300,122,273,773,682,133,961,764,969,269,073,
019,092,104,193,162,051,496,739,561,285,660,580,891,774,446,388,280,630,701,
893,017,345,470,984,470,651,470,974,566,998,453,184,452,225,828,892,153,396,
265,110,961,277,201,833,572,663,450,011,530,223,485,469,121,934,244,013,018,
335,540,948,435,403,800,434,732,166,653,961,635,925,981,538,525,360,784,313,
828,800,537,483,125,027,581,437,741,849,214,309,168,746,875,049,364,627,102,
620,382,460,698,289,866,014,095,485,139,909,508,266,888,983,153,597,883,706,
437,021,301,100,935,670,428,852,934,881,824,693,974,891,374,693,722,757,149,
839,015,205,087,408,027,224,177,942,662,063,005,001,860,490,535,590,364,107,
802,286,704,777,086,625,526,835,216,461,744,194,259,779,276,430,182,664,976,
635,289,031,327,038,257,680,474,922,088,517,273,576,067,221,241,353,038,879,
491,108,051,465,528,865,527,762,850,870,111,982,010,151,951,068,398,236,824,
838,092,265,141,354,264,790,303,562,722,443,113,180,993,771,029,481,023,586,
653,450,325,843,305,640,557,960,232,281,008,537,777,922,256,795,653,413,461,
647,019,249,950,896,078,652,855,778,859,753,575,454,925,288,774,552,326,728,
997,601,457,790,134,320,715,981,606,208,569,102,048,217,992,931,003,666,039,
139,970,912,276,115,415,995,289,285,093,492,284,228,048,351,118,201,387,608,
603,179,539,690,766,544,996,500,866,489,583,217,794,898,852,125,750,108,925,
593,574,790,923,160,217,907,160,017,709,740,579,960,861,120,922,073,624,186,
317,684,249,300,017,601,277,615,128,141,869,328,591,247,322,709,840,259,487,
043,472,366,663,839,565,357,896,996,237,408,860,927,518,093,382,308,867,969,
825,313,023,176,346,527,476,494,483,643,302,419,626,126,709,262,530,225,941,
057,256,485,652,692,137,960,097,998,185,954,849,417,433,995,614,326,047,666,
207,110,613,818,509,275,050,638,776,667,930,746,279,744,288,359,686,647,431,
242,716,757,007,154,012,700,048,588,165,775,730,394,929,480,020,745,534,083,
610,839,768,452,844,011,015,187,181,796,537,187,966,009,247,408,953,387,734,
297,810,428,310,854,760,179,232,037,097,839,663,801,109,328,812,388,194,559,
614,465,441,648,618,722,409,994,636,727,904,091,652,235,463,505,123,246,924,
336,356,451,996,384,706,308,754,588,481,717,918,422,516,118,049,819,649,025,
676,704,761,025,944,048,295,931,887,332,387,270,079,761,935,788,820,933,662,
183,974,939,031,540,281,878,710,621,887,933,259,857,361,402,700,261,840,756,
211,858,353,373,823,790,298,619,433,509,983,011,528,982,606,966,546,946,077,
464,627,338,244,352,831,731,191,002,495,558,352,549,189,530,385,901,163,750,
423,884,411,875,336,447,936,004,631,150,647,652,217,484,732,691,847,390,979,
246,889,947,768,496,761,752,084,472,132,279,204,255,388,373,544,692,638,045,
605,624,738,655,371,368,915,182,678,084,321,998,585,940,897,959,318,745,568,
096,004,693,174,305,514,142,527,218,863,058,607,687,276,619,717,125,484,828,
678,811,226,413,343,409,059,080,718,987,398,967,369,709,887,182,018,617,301,
309,359,424,089,648,380,371,290,734,570,439,278,311,416,951,121,674,993,520,
397,207,645,057,918,851,549,017,053,709,126,699,961,026,604,258,946,263,256,
890,247,232,513,316,285,371,564,722,610,688,800,970,502,480,216,435,577,960,
624,263,713,001,684,199,718,915,008,320,444,554,498,790,100,149,824,468,383,
987,445,628,948,729,462,047,647,770,729,319,717,983,381,299,620,573,965,965,
509,566,996,073,005,374,101,525,847,121,124,364,441,284,037,698,019,879,389,
159,526,573,589,943,470,477,122,247,142,621,532,114,392,151,458,905,558,637,
039,337,775,837,764,774,243,693,555,979,928,709,883,169,869,411,584,230,915,
683,301,651,253,242,872,661,217,307,394,829,404,987,138,189,405,554,371,582,
525,174,998,592,325,832,656,825,645,453,027,944,857,938,939,953,058,881,228,
952,802,662,363,418,631,474,655,713,042,327,007,797,845,824,962,588,690,058,
708,117,546,511,703,419,188,211,209,489,156,123,553,230,816,204,081,727,014,
019,346,528,745,254,654,681,466,411,424,377,393,769,094,171,658,290,245,629,
859,939,580,614,772,122,848,498,172,872,533,337,200,356,118,224,702,699,435,
961,834,539,706,551,463,861,778,989,669,237,998,146,652,722,595,477,829,998,
313,730,868,788,229,431,750,075,355,273,092,702,347,986,419,138,325,613,835,
446,783,120,598,648,057,624,009,299,526,868,680,891,063,390,515,589,761,270,
097,020,046,617,974,830,657,255,178,192,218,421,993,180,394,815,064,496,222,
392,586,834,158,110,553,576,515,099,331,572,566,983,534,155,732,075,750,148,
870,781,454,657,557,904,312,249,346,409,859,794,250,003,832,845,931,394,057,
418,104,809,096,953,311,326,445,322,637,924,154,853,615,702,404,733,480,355,
092,377,897,078,605,047,912,758,126,681,465,035,321,620,033,756,103,599,849,
148,104,640,859,513,112,664,915,948,539,086,641,956,630,506,108,389,472,855,
668,897,740,596,455,253,654,841,423,505,859,338,756,840,457,824,461,251,676,
871,540,883,538,661,733,132,234,287,369,145,269,777,024,605,747,896,352,176,
984,382,754,638,400,569,098,198,562,530,957,849,896,335,329,944,765,488,508,
939,190,478,382,650,209,277,572,877,732,938,175,285,693,924,786,079,442,530,
735,511,998,676,422,895,555,650,953,470,642,320,419,455,248,924,522,818,470,
109,164,118,410,709,086,855,750,395,242,697,334,959,041,799,294,084,643,373,
671,810,046,423,004,514,449,173,668,616,212,198,260,375,125,140,320,569,272,
346,728,949,431,451,119,056,931,723,965,903,946,579,824,087,845,476,969,957,
968,088,658,249,796,937,630,346,786,567,053,151,164,043,292,818,342,646,040,
874,715,762,408,180,667,877,969,205,776,252,358,869,039,732,906,739,129,215,
189,312,664,203,993,806,061,377,497,679,889,792,418,028,672,106,223,646,302,
319,502,362,967,127,635,636,055,799,717,289,979,898,384,488,678,454,948,689,
994,816,468,017,458,284,973,697,348,111,352,165,693,325,181,938,631,903,917,
688,359,495,685,075,986,652,302,141,625,973,831,905,918,557,910,807,311,246,
794,341,424,512,864,041,381,886,028,064,148,616,766,486,315,976,518,398,584,
773,969,496,416,027,493,076,435,924,013,703,175,309,390,347,134,275,260,796,
772,618,065,015,632,495,055,016,667,788,768,127,684,297,166,576,059,608,074,
873,515,434,819,459,835,596,545,880,860,345,638,028,659,433,127,159,290,146,
716,023,817,836,911,179,083,152,322,726,272,059,267,989,523,445,859,448,205,
119,983,508,402,271,770,301,846,410,974,348,810,755,379,465,647,177,910,609,
209,946,560,275,195,459,092,654,131,588,075,574,548,985,939,188,591,007,366,
072,245,082,558,603,735,390,124,290,994,461,308,984,019,833,802,117,602,267,
030,905,220,622,182,502,386,247,402,050,619,174,387,764,463,571,249,996,439,
650,741,252,130,651,205,633,660,361,389,503,036,783,999,098,446,804,797,468,
411,218,206,093,877,331,602,705,200,328,045,037,190,417,963,959,994,111,879,
915,211,933,949,735,803,071,144,749,354,123,856,714,553,473,273,971,830,039,
434,614,441,336,178,992,165,248,295,101,009,171,404,744,248,234,144,711,875,
289,528,484,283,284,467,544,766,449,891,504,632,529,680,274,943,508,155,665,
542,677,685,828,894,909,546,674,498,037,800,979,666,093,654,836,353,772,295,
962,420,567,079,634,504,426,836,716,549,050,021,232,553,744,006,979,555,741,
477,628,302,165,786,772,477,489,984,870,437,921,362,927,975,425,195,726,629,
374,432,426,350,374,328,160,599,731,885,185,881,226,263,064,134,959,619,918,
648,176,260,259,229,835,463,883,426,953,999,229,132,570,307,934,473,345,119,
318,762,028,934,177,723,112,685,299,173,320,585,814,682,455,399,383,509,147,
312,147,319,396,854,185,229,470,000,358,136,802,947,104,962,539,798,634,842,
342,632,259,983,162,152,473,822,833,672,227,153,931,903,713,875,265,771,591,
526,548,547,077,251,043,204,189,345,405,710,864,138,693,686,447,017,817,682,
012,980,711,252,504,023,167,755,959,116,793,264,322,778,566,493,851,867,868,
246,348,339,273,053,013,624,204,639,352,816,118,192,295,937,848,827,954,774,
637,415,042,535,067,989,880,861,336,322,630,436,201,567,377,895,248,940,155,
651,061,210,087,229,124,491,076,005,442,434,649,166,045,209,046,167,562,493,
260,860,070,355,321,472,394,651,132,029,763,701,865,118,854,751,733,302,000,
561,389,231,281,561,789,773,083,915,691,147,630,758,611,396,430,480,865,354,
209,334,167,934,918,221,423,778,761,248,926,184,431,247,521,800,116,789,400,
335,795,578,330,291,894,826,511,291,222,471,457,469,557,124,200,081,482,367,
691,804,432,293,137,250,109,074,882,310,104,269,499,094,412,344,549,674,631,
248,451,371,822,923,838,197,757,750,205,703,097,076,088,848,978,968,963,845,
423,885,932,042,904,819,327,704,787,206,137,438,578,013,940,483,454,233,535,
240,595,785,953,391,772,060,314,308,823,252,989,250,360,589,594,574,992,106,
869,617,755,462,618,530,232,046,274,310,397,663,872,466,582,919,470,879,966,
688,030,536,738,066,644,863,787,863,876,406,455,474,557,011,072,012,821,349,
263,330,071,527,928,248,612,838,562,683,657,296,573,913,425,410,105,927,299,
811,373,272,139,590,200,452,420,056,133,354,117,917,624,039,697,778,103,614,
146,959,130,425,445,349,870,802,853,028,662,672,017,205,235,355,303,068,271,
538,121,444,828,661,901,867,149,104,955,094,301,993,817,328,890,459,597,202,
706,351,151,199,695,663,143,473,197,603,861,970,091,494,193,963,645,142,912,
517,317,325,706,853,612,160,368,412,297,119,285,290,520,734,218,682,009,915,
576,785,090,834,141,263,263,686,563,856,896,936,474,590,984,748,410,610,766,
248,642,100,545,369,909,388,029,180,098,734,619,403,578,256,045,933,234,413,
904,992,987,010,534,564,449,612,857,976,492,205,772,847,111,153,184,390,779,
512,978,732,183,308,006,093,979,529,858,909,490,201,101,269,516,506,947,031,
276,246,342,377,968,287,708,597,862,692,951,611,310,992,823,798,235,826,488,
521,465,941,338,681,522,766,772,751,159,812,330,944,444,272,068,458,905,928,
650,044,859,570,280,814,748,136,386,766,746,343,915,142,536,583,352,656,490,
997,674,379,485,810,732,511,966,894,901,257,282,534,809,152,407,070,414,462,
911,089,619,107,234,024,714,761,920,646,392,270,547,076,179,840,793,742,760,
910,777,995,204,176,998,224,151,010,067,793,966,848,332,581,473,540,029,740,
581,477,759,676,189,058,586,722,263,405,597,754,861,608,330,498,939,042,787,
666,278,823,895,855,703,835,663,487,689,691,010,436,793,900,865,628,793,601,
574,436,462,588,293,729,082,471,922,109,924,865,715,588,364,606,593,363,505,
002,188,129,633,532,624,267,892,220,673,005,777,833,959,683,977,166,680,129,
497,782,286,773,740,548,012,062,270,566,733,037,545,031,184,390,418,820,051,
970,697,703,185,706,920,874,756,243,326,903,930,594,106,832,957,207,810,497,
249,941,574,153,497,788,979,135,717,879,175,041,716,099,820,369,687,957,073,
049,081,506,999,656,283,074,669,233,572,065,830,594,234,232,567,314,042,161,
324,760,483,616,216,150,738,721,397,183,410,377,799,052,199,337,242,895,225,
061,969,111,366,765,907,560,344,585,611,472,193,888,764,008,231,644,018,183,
572,444,758,993,723,980,438,991,681,293,393,272,576,198,562,212,446,856,974,
849,996,137,214,846,526,509,289,184,921,028,533,195,921,507,357,319,535,519,
065,895,166,840,941,541,214,810,176,779,446,349,046,004,301,554,731,959,159,
239,035,548,502,418,758,038,895,072,308,485,240,466,830,314,106,459,600,600,
296,745,879,581,573,401,343,381,815,764,009,250,731,831,375,491,950,300,421,
907,573,129,670,136,282,264,018,377,711,533,427,016,104,732,053,412,070,630,
462,202,013,299,644,759,752,317,985,865,650,209,363,565,824,433,757,905,307,
651,539,417,025,829,518,892,057,300,546,482,247,697,972,866,026,453,123,513,
280,668,121,302,602,282,926,966,602,986,191,824,641,715,850,380,886,182,408,
811,340,756,953,084,618,384,108,688,327,125,842,667,553,842,436,184,523,026,
396,043,116,837,567,501,006,169,150,099,272,854,516,148,753,899,777,750,576,
535,489,680,975,676,853,909,837,778,711,549,074,740,860,417,448,421,289,588,
312,482,593,958,595,038,763,003,013,184,657,049,311,399,417,305,776,917,940,
611,363,842,467,952,456,324,251,857,677,758,478,042,040,589,404,851,351,198,
350,673,901,593,360,530,063,009,425,901,653,540,791,945,890,547,861,005,735,
760,894,939,799,282,736,942,897,972,141,612,203,984,751,250,715,299,681,587,
449,923,911,320,915,910,976,755,698,503,218,227,484,539,822,496,787,267,014,
154,440,524,034,537,929,769,773,205,954,757,331,426,345,132,526,958,218,109,
865,488,485,156,969,086,350,173,962,016,120,211,836,777,231,792,984,657,031,
938,483,795,064,674,337,296,156,960,987,600,303,090,095,950,053,671,402,468,
464,830,565,373,826,601,964,479,130,990,504,169,135,985,873,747,362,534,839,
352,743,780,989,392,831,426,547,690,681,912,513,270,554,141,677,165,895,559,
478,111,644,015,641,249,312,454,619,336,848,171,390,496,569,183,333,951,458,
943,772,942,009,216,004,022,542,977,886,680,384,330,998,502,091,085,705,888,
776,808,161,596,009,898,578,023,190,393,426,118,584,843,484,930,769,963,620,
857,628,212,782,876,060,596,569,064,005,970,367,956,716,431,561,219,358,502,
524,420,469,092,572,824,508,990,583,617,071,155,929,515,252,543,081,800,065,
320,910,901,996,331,371,938,728,594,574,907,824,387,729,795,122,507,693,892,
327,853,038,708,767,499,644,298,531,985,820,205,949,937,244,929,713,933,955,
776,390,571,693,324,443,785,345,390,456,699,434,840,268,110,692,197,218,782,
059,603,313,419,829,861,286,973,208,372,297,743,366,110,831,617,591,622,144,
436,702,120,763,509,286,128,552,174,675,175,617,425,178,792,690,028,719,287,
930,903,574,316,201,940,460,120,857,694,373,731,659,151,616,593,133,702,827,
009,459,807,466,485,932,053,391,681,580,675,374,248,250,938,575,146,190,100,
592,644,585,328,779,350,016,798,930,534,514,030,508,464,951,412,714,817,365,
023,212,400,844,889,738,282,664,293,818,106,880,222,357,193,035,150,435,786,
027,397,177,918,349,337,669,195,344,540,169,979,379,798,591,992,033,364,436,
057,093,338,255,048,819,896,479,547,358,732,128,472,202,154,966,640,999,949,
675,598,201,088,202,448,343,138,679,069,922,277,469,932,828,381,136,026,630,
096,501,221,735,897,487,856,693,121,063,343,257,194,281,240,813,431,455,087,
687,676,383,018,250,467,043,128,740,008,253,294,077,716,701,496,948,636,016,
840,129,134,191,179,547,054,398,538,841,719,263,464,423,978,986,385,374,752,
836,871,023,267,546,483,455,310,561,487,240,234,530,847,482,822,758,767,027,
442,094,264,245,997,745,279,114,018,017,124,645,720,527,420,560,808,582,384,
265,039,778,702,200,218,891,028,459,009,267,327,716,853,780,163,567,223,819,
922,063,436,839,894,709,630,613,077,420,975,398,760,728,750,226,377,719,188,
796,708,017,262,002,370,838,882,110,127,722,852,417,433,479,979,349,446,155,
685,141,029,048,197,823,355,001,002,761,727,920,403,027,158,791,784,202,002,
953,565,938,992,936,242,527,667,975,653,583,166,671,880,086,015,491,010,885,
123,034,383,193,920,571,268,206,932,354,790,353,930,998,834,933,044,314,983,
944,852,214,650,132,328,631,171,884,318,642,654,477,258,385,685,314,095,787,
153,942,463,775,271,498,041,369,508,767,487,529,982,159,788,736,911,425,318,
294,933,620,050,111,437,660,819,253,725,773,059,719,800,739,224,170,098,705,
422,080,240,192,300,522,435,776,598,281,321,915,579,086,490,709,273,225,440,
806,631,283,447,083,225,554,202,933,380,106,710,959,383,349,247,399,766,431,
485,780,122,709,315,409,326,454,195,097,532,338,864,957,933,930,164,325,155,
581,674,359,434,190,879,460,946,380,883,298,029,449,803,276,231,780,072,792,
301,492,197,937,435,879,903,084,019,585,122,051,134,995,998,866,095,735,565,
471,955,707,874,562,460,769,119,096,332,888,063,757,523,379,419,792,179,056,
114,174,837,430,758,415,629,651,911,251,525,714,091,134,454,604,701,460,394,
312,383,206,101,906,381,289,114,288,920,141,347,004,887,183,694,942,251,898,
714,179,787,603,739,048,499,267,011,431,014,728,142,483,051,041,582,545,222,
966,879,128,649,639,128,872,744,057,753,713,153,025,151,545,543,802,586,371,
227,599,232,882,523,233,904,424,738,111,886,312,481,227,223,660,003,514,204,
457,917,434,109,078,359,014,114,191,249,558,877,647,361,296,972,380,256,816,
652,344,981,389,044,405,797,900,584,687,127,118,275,348,618,551,251,272,173,
664,607,205,669,285,510,048,689,104,663,189,778,473,091,502,439,410,450,896,
603,625,396,740,406,968,465,961,116,113,193,038,724,106,689,843,722,189,767,
735,247,203,990,043,226,539,507,055,425,852,585,661,502,348,053,261,476,904,
993,821,263,208,759,464,558,370,949,522,156,953,985,504,779,512,764,603,381,
025,628,790,937,649,500,082,943,006,830,901,766,083,733,306,197,084,501,486,
015,263,745,510,170,777,746,449,952,649,763,005,102,926,776,124,606,410,648,
421,790,493,486,488,478,998,132,989,625,408,547,120,814,286,602,316,569,022,
831,874,449,482,685,493,724,686,698,646,411,990,786,660,941,464,809,476,564,
865,111,257,112,251,226,771,786,871,254,145,343,040,403,082,370,215,408,389,
585,123,838,226,329,298,048,876,564,357,634,823,552,384,880,124,869,140,905,
015,709,077,450,807,392,276,816,167,960,300,117,904,956,343,638,675,995,484,
607,609,531,856,227,544,480,008,229,973,166,870,568,388,942,472,573,743,227,
910,508,737,119,050,772,993,800,498,105,737,735,612,819,802,494,805,455,295,
603,115,486,648,261,340,079,250,985,575,874,893,590,532,474,304,278,196,221,
255,786,678,431,243,688,125,076,687,548,498,309,989,644,375,476,493,997,694,
827,288,124,087,120,827,513,022,106,756,220,217,056,324,035,583,066,311,612,
841,508,433,459,107,634,695,730,918,784,584,157,011,650,990,869,988,322,291,
251,359,479,344,828,531,189,059,756,299,137,002,617,974,425,449,521,568,852,
396,706,563,169,551,964,977,342,918,150,241,063,973,778,762,019,229,374,991,
410,189,065,250,691,087,197,483,637,119,561,527,299,426,236,143,116,119,183,
024,786,595,871,582,411,784,446,584,943,340,966,426,901,783,725,560,644,507,
047,261,759,118,296,348,073,537,151,227,493,274,836,502,872,029,108,786,611,
993,236,958,310,711,131,064,181,536,761,914,000,836,019,226,535,147,846,859,
331,998,847,194,807,335,883,392,112,118,036,998,163,797,750,710,811,528,542,
972,457,407,224,505,328,677,714,655,557,798,914,601,986,563,238,412,766,532,
464,260,097,733,895,935,784,414,806,102,136,913,065,644,221,557,068,020,815,
577,183,971,249,237,659,412,110,160,308,035,172,555,105,080,705,441,465,431,
905,190,716,660,184,132,528,999,044,413,939,523,143,692,044,129,242,231,667,
660,865,107,706,640,012,012,007,732,989,197,500,300,096,783,203,195,183,492,
034,108,102,391,004,383,982,626,685,780,415,318,418,236,382,777,534,845,949,
804,180,083,299,614,305,718,310,562,260,522,495,717,989,691,100,711,558,662,
125,312,661,976,270,431,130,955,184,780,156,957,544,419,677,644,353,219,021,
645,470,246,235,019,780,440,649,152,626,556,342,177,976,060,863,141,965,893,
777,730,518,931,815,351,850,029,511,849,942,526,834,837,767,367,639,380,140,
567,830,024,674,828,536,405,964,627,114,935,757,466,084,809,984,051,207,984,
503,666,924,999,309,684,337,054,660,746,673,435,404,288,010,902,679,791,041,
517,551,750,144,335,707,047,841,698,412,992,231,713,893,209,476,433,135,098,
374,524,027,085,833,101,427,586,789,458,426,578,158,569,798,715,718,297,220,
728,291,611,773,257,237,125,343,533,074,844,485,604,325,358,400,723,891,265,
545,363,594,278,684,427,084,695,315,997,036,667,257,371,703,520,284,665,958,
459,009,870,815,118,097,707,142,050,671,133,304,306,260,675,035,696,514,647,
616,151,845,163,255,475,789,131,091,073,622,321,596,407,418,009,513,632,115,
210,504,633,584,507,947,294,616,749,864,226,812,565,800,868,970,957,209,119,
313,000,699,223,888,605,453,682,306,424,758,444,728,734,997,720,591,480,053,
068,687,966,898,883,830,734,032,584,796,761,789,898,704,669,149,643,820,431,
676,028,081,596,297,365,087,079,804,518,300,563,779,049,127,501,805,217,283,
367,428,938,075,254,894,454,589,291,648,224,537,885,450,823,564,118,694,188,
741,623,189,159,776,277,507,778,707,318,057,569,342,446,748,805,594,266,625,
456,899,275,164,766,499,316,343,033,957,392,965,125,459,854,491,647,627,811,
052,347,534,347,828,335,727,596,463,390,576,523,650,555,277,894,209,857,742,
862,702,799,979,093,217,657,836,419,058,502,572,660,858,912,453,854,393,013,
697,930,513,141,427,580,720,642,230,711,766,032,569,755,616,641,596,976,265,
999,398,188,864,179,928,814,290,106,281,335,525,621,755,648,473,597,774,067,
097,357,512,877,226,224,024,108,554,111,095,290,698,840,406,960,126,916,536,
031,427,332,077,646,635,178,354,625,584,531,945,239,453,646,691,755,083,888,
598,696,322,181,262,650,376,140,740,110,934,733,004,093,859,794,038,989,642,
636,670,256,200,860,479,116,486,822,696,930,447,429,693,340,642,359,046,346,
461,734,014,884,032,763,244,434,865,485,433,977,270,286,337,867,636,500,488,
562,577,571,733,957,258,358,501,108,226,683,348,886,897,193,561,602,717,492,
562,355,723,403,901,114,305,773,690,804,132,401,807,687,788,530,384,128,896,
804,884,199,782,052,929,447,616,747,258,514,085,071,441,773,459,198,472,709,
796,114,232,509,643,891,789,327,553,063,167,672,718,621,945,007,062,314,349,
945,988,220,863,864,567,423,123,356,157,459,696,168,578,069,832,382,684,743,
382,827,537,276,767,145,303,405,745,109,239,089,090,728,049,729,572,379,134,
325,022,578,234,577,275,807,966,814,674,981,423,144,558,539,125,152,988,523,
759,849,762,524,587,576,440,947,712,446,442,209,305,025,655,193,525,204,146,
570,709,330,153,267,047,483,984,570,279,382,202,691,651,719,797,687,802,472,
079,678,952,266,003,335,730,939,262,002,718,463,975,817,449,500,685,739,966,
395,765,377,940,352,992,527,891,178,372,252,495,079,630,945,178,788,892,423,
686,931,090,486,359,350,958,973,611,314,037,315,071,890,414,836,355,393,532,
039,858,004,994,138,777,005,966,995,292,842,991,163,085,035,098,793,025,934,
769,571,728,763,995,336,499,570,344,192,465,184,291,336,859,789,364,375,770,
597,247,752,901,085,212,700,713,698,405,035,678,222,154,466,771,643,252,938,
101,813,270,275,404,546,344,196,721,763,199,874,305,311,584,794,752,692,692,
423,755,560,960,438,093,656,892,249,076,038,454,525,354,031,505,509,098,108,
823,234,443,990,143,158,392,434,137,559,715,616,606,682,441,287,636,363,589,
750,946,433,899,955,845,820,372,537,674,420,037,354,386,685,266,676,651,869,
340,753,083,704,604,737,197,780,420,775,749,677,928,244,914,122,065,220,482,
737,513,656,142,289,582,881,088,602,044,641,248,087,971,732,199,891,313,773,
119,176,043,243,233,319,750,465,466,781,962,631,534,799,782,852,517,990,049,
742,156,376,183,898,563,015,482,125,324,789,845,039,436,234,392,917,862,364,
402,039,764,905,847,429,798,045,913,450,845,287,183,867,206,887,132,340,379,
403,620,626,106,192,433,204,373,983,517,922,080,332,836,433,064,380,180,043,
396,992,252,172,941,741,743,384,076,998,130,778,380,683,405,997,019,917,510,
937,995,704,565,913,060,210,396,166,494,853,324,923,286,628,534,183,610,366,
577,051,425,422,314,730,605,207,969,727,012,770,289,350,606,057,358,605,168,
810,271,105,838,513,869,212,146,556,136,366,426,931,387,975,298,365,662,355,
664,781,334,557,672,448,671,724,020,244,305,550,554,631,474,972,329,254,251,
435,159,445,175,266,671,090,705,674,460,549,493,914,978,538,509,366,120,559,
105,931,236,912,832,386,753,071,197,198,938,235,044,460,395,250,728,710,360,
821,834,964,741,932,816,727,172,701,971,904,545,157,800,379,660,030,371,399,
767,308,327,862,261,312,359,700,380,224,200,846,369,012,459,151,879,945,575,
267,353,400,597,559,042,940,683,476,248,130,980,132,440,925,522,818,018,451,
483,619,774,769,104,556,134,705,948,556,119,684,957,496,676,993,692,594,044,
529,956,717,274,228,339,061,133,694,702,850,332,583,833,899,562,827,250,253,
197,546,285,141,420,515,980,128,512,331,539,435,495,167,503,039,473,828,555,
789,720,233,556,106,811,996,581,366,502,791,004,544,486,627,565,834,488,464,
778,495,348,220,793,880,541,761,432,448,474,170,167,997,132,703,557,012,825,
808,465,741,588,263,923,303,177,112,624,823,718,817,260,343,397,165,118,630,
372,343,998,240,258,556,625,330,865,519,386,805,048,805,143,017,698,941,658,
854,546,908,247,031,997,498,160,124,737,515,960,668,298,461,866,412,467,322,
076,373,228,687,824,648,690,242,850,417,968,605,754,960,366,508,398,110,192,
653,181,237,062,587,396,046,886,553,876,652,124,178,947,401,432,663,326,028,
716,567,693,796,336,088,752,757,114,855,612,044,795,003,967,741,186,302,471,
331,733,927,207,990,290,259,931,294,445,711,742,454,860,653,276,846,035,629,
144,133,972,522,679,428,372,103,270,872,743,942,277,847,055,283,005,887,038,
628,062,627,103,958,384,692,898,055,933,787,606,429,662,299,126,767,028,853,
991,308,029,308,848,950,721,148,205,668,656,533,648,103,367,525,837,654,463,
251,663,037,241,888,108,973,161,777,821,737,387,310,558,892,149,375,798,503,
574,023,328,747,639,786,042,528,190,756,638,780,696,626,258,167,470,486,807,
695,498,947,104,304,596,808,402,999,548,885,842,094,214,615,837,455,063,281,
242,023,726,966,359,459,998,811,308,419,202,403,182,031,113,097,823,394,105,
612,469,664,589,691,851,381,335,904,886,863,228,073,455,296,955,649,430,131,
289,142,239,912,267,299,524,701,463,083,240,867,946,943,285,174,700,778,241,
941,367,235,357,609,000,552,953,094,866,650,934,538,680,791,052,392,744,703,
661,670,870,272,101,329,357,596,082,092,522,656,235,875,490,711,174,778,801,
328,005,914,218,000,610,917,067,579,975,726,389,903,723,293,129,715,960,960,
031,821,153,655,114,696,103,014,424,116,169,177,373,409,915,437,012,474,987,
120,180,864,816,244,626,057,059,782,514,195,801,580,878,532,828,221,327,559,
267,773,758,512,898,262,913,764,173,985,347,792,596,136,812,461,299,385,457,
027,983,486,226,970,046,967,616,908,869,076,242,544,621,561,443,299,807,810,
388,568,236,570,433,956,347,434,429,957,216,515,257,061,581,423,135,985,327,
261,788,793,716,066,348,900,901,060,555,326,766,448,327,547,560,203,507,717,
116,750,913,488,452,160,927,608,483,280,331,990,294,589,299,805,505,944,225,
067,979,099,444,723,419,371,071,157,074,379,846,825,986,802,188,690,524,023,
147,999,315,734,309,539,202,752,127,840,412,038,796,387,779,770,674,390,079,
681,520,878,248,071,730,553,400,587,225,661,992,366,409,105,987,370,723,548,
726,979,099,264,062,236,883,773,203,983,450,794,960,349,163,974,744,631,585,
147,214,641,567,782,880,645,243,779,902,487,052,532,355,461,039,863,343,771,
640,177,860,987,850,042,360,229,555,283,363,552,341,839,463,518,185,561,961,
486,888,238,819,334,796,854,722,674,867,312,127,539,324,878,517,046,031,804,
434,422,534,084,951,146,095,291,408,747,860,939,066,331,420,215,357,040,974,
023,655,135,127,956,127,986,215,680,898,122,967,600,475,070,358,437,420,593,
099,789,611,006,269,773,869,403,639,124,884,747,416,084,841,148,833,476,509,
057,246,196,966,845,988,038,617,065,583,106,413,060,207,328,025,530,086,553,
107,133,398,392,994,757,272,527,059,389,052,177,760,839,414,444,809,634,348,
947,044,016,431,426,548,020,277,230,959,732,412,170,193,223,361,315,779,162,
652,199,720,615,747,353,622,348,323,618,616,170,961,576,697,056,424,029,899,
491,347,870,075,533,519,067,486,219,554,817,562,623,985,739,301,001,293,211,
696,391,246,050,179,107,300,950,021,908,455,523,787,348,662,381,800,872,778,
554,082,231,057,262,142,986,264,771,812,843,914,272,616,428,495,790,727,005,
935,263,916,716,932,636,987,718,712,431,905,447,754,980,932,287,455,005,281,
906,319,103,963,410,262,144,768,599,809,403,263,478,570,489,686,231,283,299,
508,591,260,955,952,159,221,216,614,356,709,064,140,045,504,363,288,816,283,
937,010,120,544,334,936,848,750,175,019,735,595,198,971,788,297,445,287,184,
169,633,829,717,247,699,442,168,486,086,916,299,544,539,850,561,165,239,186,
078,755,696,232,716,792,647,943,990,444,713,592,782,769,833,145,001,480,732,
782,849,221,391,677,991,453,956,187,285,139,093,117,358,082,153,202,527,143,
650,416,596,891,058,410,669,879,530,172,142,239,893,452,101,404,923,466,363,
558,433,079,119,134,302,345,882,855,047,609,708,836,891,428,450,934,718,903,
877,389,165,003,230,934,794,887,193,576,263,569,339,976,479,017,432,529,609,
999,487,250,041,201,583,471,507,647,523,930,554,793,665,126,235,250,226,142,
790,256,506,122,350,645,554,690,389,596,106,099,321,138,749,316,488,130,647,
761,104,467,653,084,067,775,678,791,550,542,414,935,158,599,953,383,513,833,
966,347,408,398,615,287,164,451,372,072,416,509,852,938,149,675,386,984,145,
202,138,383,817,346,612,319,246,350,693,331,764,119,035,340,184,949,279,286,
702,526,422,165,648,328,299,314,678,100,500,759,981,640,055,417,831,848,229,
860,776,209,473,830,121,706,500,106,765,390,103,586,750,051,942,489,324,278,
711,719,381,223,625,965,420,019,020,018,157,116,311,851,544,744,419,578,790,
360,199,739,202,433,363,090,724,009,291,496,753,490,013,010,231,961,704,052,
695,396,394,415,278,440,419,105,867,739,745,147,456,696,207,670,632,073,389,
842,707,152,820,167,507,226,728,311,716,347,772,267,339,621,556,189,500,454,
021,865,001,543,781,536,061,703,939,668,683,569,552,672,509,745,098,153,253,
146,432,851,447,929,220,351,109,048,156,953,524,885,732,564,212,831,298,064,
520,583,234,972,005,997,332,503,892,205,879,536,189,012,105,934,151,985,290,
260,660,212,385,962,109,325,609,885,223,862,788,679,026,768,159,594,253,483,
195,262,370,062,935,866,975,852,974,731,264,348,359,739,207,367,398,403,976,
574,762,245,026,017,779,163,973,396,655,004,009,003,194,205,295,290,957,620,
923,663,763,112,705,549,171,642,924,254,435,591,974,780,217,063,666,028,870,
245,745,277,654,459,886,617,042,821,280,272,776,333,024,190,534,043,275,557,
468,062,078,382,388,017,917,351,496,087,917,265,550,213,832,700,686,806,477,
362,882,491,625,313,278,296,558,162,109,609,532,738,974,982,234,646,774,494,
128,202,002,716,342,548,570,513,985,867,508,458,293,896,458,879,062,197,023,
258,823,432,464,193,804,305,758,916,418,348,843,495,441,696,349,621,922,861,
116,021,421,263,621,531,298,982,623,803,107,150,552,411,079,039,896,853,801,
122,257,457,316,470,955,369,975,560,284,215,607,892,296,507,345,088,791,530,
574,844,973,224,894,125,128,032,780,833,366,327,623,903,574,086,796,965,280,
119,520,613,399,018,304,618,458,868,724,200,147,801,250,783,981,656,552,747,
326,403,237,875,299,412,372,283,816,449,456,464,952,738,201,994,456,338,772,
215,205,411,263,360,058,498,087,157,575,423,384,902,867,231,599,137,424,046,
860,125,041,329,306,952,665,147,742,541,578,678,310,350,639,359,031,996,094,
944,458,888,302,490,193,816,357,164,771,972,967,002,721,123,647,333,461,505,
946,668,351,207,979,430,072,742,790,114,308,072,206,204,084,245,744,161,638,
021,752,473,634,257,343,342,422,552,113,379,695,230,649,879,881,188,708,973,
593,895,846,148,061,379,389,410,093,449,394,267,301,892,007,673,423,092,877,
837,311,752,644,964,708,350,053,447,036,587,451,141,173,323,198,210,988,121,
142,549,075,699,057,294,633,674,236,905,174,570,287,297,525,459,841,223,078,
284,046,138,015,815,203,345,237,395,030,006,218,612,119,866,986,282,986,698,
918,907,271,656,261,955,198,626,791,854,368,094,788,620,636,354,295,795,304,
213,596,551,954,218,368,309,386,046,895,247,856,414,888,849,993,969,750,115,
076,605,945,969,454,087,216,569,662,027,474,417,531,146,937,513,788,446,798,
526,606,893,739,053,305,595,136,625,576,247,450,783,746,655,267,734,013,870,
061,055,067,659,843,151,658,497,933,528,756,940,206,099,543,796,007,466,098,
965,131,868,320,913,197,666,426,007,394,390,131,157,766,022,045,907,327,508,
433,494,024,253,138,004,528,267,902,026,574,949,831,707,315,340,475,940,701,
906,049,932,948,743,704,707,938,988,674,432,462,526,292,785,820,598,945,023,
514,531,723,128,117,931,516,695,022,706,976,958,996,793,058,497,939,903,212,
648,555,890,087,337,364,468,641,674,065,091,189,304,476,923,359,724,800,673,
833,500,707,084,621,904,809,570,626,950,803,248,664,359,369,691,308,561,139,
449,010,615,903,000,430,349,581,688,694,887,563,892,638,354,985,709,920,097,
507,384,684,553,617,038,493,254,839,148,325,154,102,518,755,974,888,592,059,
206,548,061,454,763,568,218,421,079,651,530,505,683,624,136,951,884,491,504,
024,216,927,717,347,475,607,450,291,040,498,352,988,045,662,660,443,496,462,
675,472,987,677,194,366,330,238,099,742,441,377,492,832,750,155,309,767,163,
181,371,038,746,105,591,111,359,242,203,812,537,681,158,885,026,353,086,106,
169,620,747,591,821,593,626,835,345,443,450,087,907,264,888,051,837,288,651,
188,085,261,639,091,566,304,619,304,798,205,760,157,721,460,481,268,523,884,
273,908,845,000,347,654,826,913,356,470,447,571,140,278,602,162,421,566,027,
367,621,197,434,965,722,046,350,792,920,104,163,826,675,326,918,697,843,961,
893,888,539,907,412,598,522,711,342,959,252,942,142,714,995,608,656,440,028,
609,016,984,379,980,083,909,531,901,838,888,640,173,153,231,135,484,679,583,
372,912,454,170,034,295,321,311,734,352,702,187,809,950,798,913,627,012,922,
452,770,762,917,653,726,971,312,589,809,758,641,581,245,937,022,627,228,417,
277,241,289,641,229,371,877,121,858,713,150,689,565,900,042,657,473,516,955,
746,271,070,317,177,784,754,829,767,747,274,779,893,798,666,183,229,822,737,
662,956,355,020,413,191,646,849,785,354,920,324,807,029,438,377,174,530,128,
826,465,760,228,669,325,495,263,971,351,971,585,614,475,525,075,769,728,150,
578,765,947,205,050,272,120,423,565,083,349,479,860,930,209,483,743,659,479,
658,500,138,972,194,708,964,086,381,528,173,314,113,558,651,095,602,288,797,
373,778,735,373,888,434,128,999,705,742,878,047,118,024,688,116,477,818,141,
962,960,949,581,416,799,833,663,727,991,881,668,919,747,067,977,129,950,366,
825,193,395,536,251,318,879,816,747,785,525,550,162,919,969,785,584,725,498,
291,961,099,646,153,398,769,636,139,889,845,364,698,108,883,433,619,484,572,
684,722,019,088,389,335,763,825,377,554,693,242,202,959,729,703,813,887,047,
827,260,947,277,150,202,030,694,545,529,343,903,556,357,136,222,624,464,273,
125,898,308,102,985,510,487,259,857,204,972,750,886,077,217,784,083,074,549,
592,693,677,605,435,069,583,554,064,325,020,294,399,884,727,088,794,854,917,
690,299,763,634,462,813,779,699,348,172,266,254,465,734,438,069,958,398,408,
163,872,631,190,974,746,617,400,793,361,446,553,594,154,242,915,511,903,251,
023,714,846,297,619,219,446,213,858,987,592,286,650,181,108,169,134,690,203,
668,249,821,876,675,732,545,751,676,217,972,964,003,923,487,566,502,109,554,
197,483,485,954,427,653,721,650,263,384,974,314,397,569,294,363,235,732,804,
711,795,572,865,592,866,012,854,796,234,510,066,729,712,378,278,587,951,305,
408,307,078,887,931,707,544,090,127,875,853,412,924,497,091,717,737,760,416,
522,683,098,485,029,744,203,838,200,593,597,418,320,715,821,976,214,725,000,
784,293,014,711,766,202,276,844,638,759,936,981,362,077,580,754,447,646,282,
863,155,973,584,746,389,692,731,968,569,620,415,969,878,714,733,591,873,057,
114,428,628,908,699,354,468,003,885,977,503,152,070,155,015,738,997,627,703,
389,403,642,198,651,764,871,920,134,466,094,350,818,808,304,316,284,759,228,
840,278,721,498,021,259,132,321,143,128,978,361,354,393,488,539,717,610,036,
665,350,426,709,278,913,246,356,867,536,152,191,855,121,429,841,004,884,071,
113,845,168,478,567,380,068,838,419,599,945,024,973,582,140,001,471,105,353,
799,014,040,985,130,559,217,290,495,711,550,051,722,951,425,940,261,521,796,
525,577,397,520,088,926,493,010,759,772,765,747,708,937,446,993,571,022,391,
237,235,689,191,510,099,280,572,038,046,285,955,104,218,449,642,209,811,986,
102,394,755,416,869,709,370,627,548,485,262,523,931,674,637,540,287,137,127,
338,056,950,100,875,708,573,951,081,522,717,649,396,338,521,859,716,738,138,
086,814,204,161,594,613,576,031,429,603,108,265,276,332,243,422,367,117,658,
720,568,130,966,990,445,514,944,902,063,980,452,329,629,471,417,737,632,272,
401,226,030,807,144,335,820,059,955,763,058,280,390,530,682,996,907,801,830,
514,701,870,498,577,921,464,729,099,702,411,141,366,795,397,084,498,833,819,
634,864,351,948,436,003,635,141,446,013,294,476,854,997,427,498,384,056,049,
146,709,262,239,296,276,441,449,146,967,347,194,599,256,550,894,768,398,542,
359,785,991,403,209,348,251,292,468,502,737,838,173,880,781,568,832,743,101,
672,508,669,298,475,349,526,297,365,784,184,572,042,056,161,779,632,434,366,
064,479,257,713,907,348,636,520,583,012,013,838,412,884,289,460,633,359,212,
296,374,585,491,758,848,218,664,691,622,705,255,757,676,513,307,167,666,578,
486,532,077,932,001,874,625,340,808,969,240,173,390,445,439,661,233,002,793,
593,168,847,121,565,675,166,397,496,037,442,478,107,976,738,196,960,886,826,
817,041,652,766,243,854,897,642,353,897,236,735,121,872,117,301,961,476,447,
656,716,222,044,768,905,011,282,607,929,468,270,144,674,898,613,277,500,041,
577,641,873,269,143,819,757,721,628,046,758,416,996,099,028,987,456,003,691,
655,838,120,795,107,523,244,849,259,565,023,273,224,108,176,233,276,950,307,
961,077,193,333,680,563,744,770,151,712,716,405,343,679,813,970,164,482,647,
978,477,388,125,191,083,677,984,565,517,187,655,490,213,174,157,116,226,022,
485,302,152,562,565,909,753,710,891,368,119,073,171,337,892,135,924,608,991,
523,398,692,240,796,414,514,153,055,758,292,361,884,500,923,927,758,567,569,
844,917,995,740,702,121,535,292,461,421,321,874,073,222,573,688,976,827,137,
440,518,570,752,771,442,226,976,169,600,375,748,455,684,794,421,050,684,328,
986,911,877,818,918,704,060,660,608,910,214,115,868,791,835,954,313,728,030,
135,116,377,936,927,249,378,837,600,038,088,928,378,911,288,033,047,021,226,
993,543,157,205,030,010,583,319,435,675,825,106,711,233,655,560,191,673,018,
510,658,768,640,893,063,616,529,134,443,843,726,606,359,025,697,346,809,185,
493,475,963,129,295,823,864,874,603,643,765,724,163,870,971,278,931,554,945,
075,702,858,390,706,110,282,435,943,344,949,768,033,006,319,068,364,651,730,
726,242,270,102,522,035,141,757,983,997,273,804,161,790,606,340,561,862,161,
554,859,865,196,045,308,408,136,876,899,514,626,562,790,075,846,562,035,170,
664,470,944,628,843,487,580,216,926,743,158,529,442,358,870,615,853,197,788,
236,023,493,455,707,667,902,444,539,945,689,549,473,255,319,649,944,644,542,
529,244,759,665,045,630,918,773,884,791,774,581,326,379,114,397,590,706,989,
287,224,896,441,827,875,343,367,608,044,557,122,999,761,657,600,318,779,702,
250,038,790,571,009,012,810,182,918,224,793,509,182,413,041,273,453,717,930,
396,764,168,799,055,870,322,507,236,232,767,646,452,395,323,920,184,647,169,
782,756,254,778,815,840,057,798,914,799,822,960,106,627,782,599,956,713,877,
037,114,484,502,535,687,895,430,434,256,277,640,335,482,452,535,138,448,382,
575,694,398,134,466,799,597,989,117,521,283,575,887,100,899,414,909,683,341,
336,679,326,897,805,806,450,797,787,623,182,746,906,397,920,657,592,298,318,
940,939,138,407,098,102,667,034,902,862,873,511,896,665,716,235,854,098,567,
358,553,301,421,993,888,230,453,948,739,275,176,022,143,293,142,783,845,082,
464,084,950,269,375,425,793,985,864,305,163,118,973,959,277,329,302,732,397,
718,731,953,078,196,704,032,314,963,840,672,549,179,016,151,065,675,066,425,
194,479,319,019,773,859,518,297,366,429,283,751,216,774,201,868,250,800,761,
552,149,605,540,747,110,365,024,294,449,144,986,685,056,534,718,158,129,876,
918,914,616,843,222,469,326,580,276,752,935,658,882,981,651,448,714,965,494,
329,866,941,318,106,894,433,803,460,483,480,839,922,705,967,756,654,769,130,
971,446,198,780,298,252,369,489,281,193,038,614,934,738,342,157,073,247,053,
071,904,061,511,175,306,604,558,643,268,306,430,129,196,445,692,282,956,355,
730,892,498,952,566,418,884,381,093,151,563,008,345,858,092,127,379,398,540,
082,550,011,959,733,209,283,505,085,293,690,262,927,113,170,995,214,054,525,
269,268,982,910,458,659,337,832,228,004,888,093,163,854,529,104,818,556,019,
411,359,628,963,089,573,804,290,743,455,141,130,055,145,782,855,079,019,819,
305,555,719,877,930,507,689,195,913,436,331,052,717,847,946,526,266,515,558,
458,466,892,850,601,012,811,431,898,390,718,018,235,832,441,567,647,051,959,
226,121,267,692,117,826,648,675,196,375,886,310,026,810,215,288,681,379,096,
134,783,262,683,308,203,284,819,296,092,037,432,029,148,967,112,548,644,644,
686,710,471,429,547,924,337,715,170,747,000,525,114,251,482,286,715,773,258,
512,035,773,633,982,256,361,692,981,521,077,685,722,078,116,454,185,238,230,
870,592,347,123,825,295,713,765,797,426,716,730,796,725,866,596,052,740,264,
478,135,189,312,949,211,493,700,022,667,585,750,798,079,283,611,301,692,969,
960,915,217,639,620,915,301,287,065,600,486,039,340,774,231,502,664,052,068,
831,363,996,178,403,209,778,393,104,456,151,635,161,423,106,496,391,652,673,
074,326,620,445,718,011,529,216,337,580,150,226,319,545,600,078,569,761,907,
399,658,310,159,414,406,527,135,230,756,309,530,214,784,468,630,162,923,915,
907,772,730,854,285,172,496,148,436,063,301,199,151,198,382,504,637,783,378,
833,617,939,680,955,461,315,654,977,453,290,469,342,965,950,580,963,418,963,
889,808,221,238,805,477,535,387,011,657,369,169,689,764,468,518,606,519,174,
300,476,975,151,960,195,265,207,259,205,597,799,620,711,207,379,375,586,088,
855,306,021,789,274,879,980,564,068,383,186,501,673,878,626,307,995,357,918,
492,364,810,714,057,216,105,588,052,949,085,040,417,930,412,940,356,136,999,
460,308,371,930,691,016,717,205,220,472,214,971,189,937,389,790,763,889,232,
739,752,481,964,744,858,728,858,709,414,926,788,216,849,271,662,953,654,504,
227,461,105,162,712,111,458,825,815,689,291,894,356,144,648,658,814,843,291,
762,635,993,213,193,608,465,362,182,902,434,612,433,998,761,645,374,975,285,
840,882,260,632,603,224,658,779,753,404,527,771,414,906,729,568,035,438,538,
579,899,806,413,270,422,835,405,098,965,630,554,528,582,199,583,610,834,669,
128,776,646,849,187,177,020,994,499,491,313,871,294,120,080,109,613,784,784,
218,975,204,301,772,813,795,243,777,930,112,467,515,132,735,754,222,678,703,
334,290,320,390,147,542,237,596,112,778,527,352,226,777,691,547,488,703,084,
968,204,574,069,590,803,490,726,680,641,591,870,913,862,668,114,314,795,090,
724,900,505,356,353,408,025,566,724,021,874,677,269,866,847,178,641,316,665,
251,066,749,680,149,488,207,627,203,275,167,227,877,963,576,573,231,240,531,
102,845,724,206,960,347,467,303,520,857,261,247,656,813,390,335,591,934,370,
713,014,905,049,171,055,712,585,143,103,364,923,562,602,116,384,481,718,678,
997,131,183,144,229,321,724,730,054,598,035,202,734,321,816,337,255,211,109,
085,762,374,787,255,725,467,268,870,648,486,474,486,330,382,207,485,465,191,
789,178,857,926,314,604,944,666,686,099,611,636,244,465,712,565,347,257,660,
476,572,195,597,261,799,179,211,204,192,382,663,215,916,427,407,950,173,374,
038,239,037,912,162,366,913,607,425,549,227,430,251,439,576,838,870,647,759,
790,909,499,583,101,762,790,953,384,106,779,052,291,456,405,518,776,026,292,
945,727,036,591,643,105,262,032,130,991,526,893,433,316,125,784,038,127,390,
884,520,054,858,116,674,455,754,276,794,525,751,341,878,369,184,606,804,241,
865,962,692,107,787,660,640,995,134,648,014,570,338,316,740,207,735,855,239,
236,657,757,753,466,138,186,969,603,029,432,867,123,834,087,698,026,962,155,
210,797,759,326,725,828,974,224,677,582,139,574,173,143,924,774,890,782,245,
925,772,377,662,426,912,643,584,204,756,193,122,934,771,158,348,868,513,305,
582,727,624,949,643,430,837,137,886,018,658,206,070,503,339,724,177,290,534,
046,039,287,538,178,548,157,305,257,514,926,934,132,887,624,601,026,607,480,
407,130,727,806,502,377,971,330,703,516,233,447,572,001,005,241,694,938,532,
462,694,021,506,879,712,042,192,547,499,038,337,795,364,158,039,428,097,932,
855,110,254,539,812,334,632,465,542,730,996,640,748,994,402,422,780,559,955,
971,779,788,534,621,902,242,822,327,573,057,684,601,158,513,570,887,754,878,
029,677,067,967,829,094,309,424,331,058,311,900,405,657,652,677,362,871,594,
113,872,143,214,246,543,719,125,369,656,590,306,895,572,509,151,430,668,067,
140,525,760,680,196,694,767,505,998,052,092,858,514,261,691,157,643,912,962,
312,649,021,893,778,831,756,332,103,422,031,969,377,685,825,446,836,496,068,
406,837,118,275,035,876,855,009,420,648,992,329,653,582,537,096,734,767,923,
066,409,927,514,656,606,396,651,602,420,383,119,354,514,627,442,207,219,041,
128,176,218,318,548,079,958,663,998,572,171,795,742,496,661,585,655,096,786,
812,028,883,344,672,062,985,259,009,740,209,644,643,455,585,202,607,468,820,
110,138,700,863,075,784,269,033,919,799,584,105,653,096,827,876,541,531,475,
819,417,094,914,735,377,127,264,941,110,335,284,523,292,693,838,749,113,755,
739,543,251,119,675,476,089,408,963,163,379,634,330,168,448,096,517,810,411,
097,970,681,488,306,439,917,879,667,289,634,198,042,155,320,741,747,903,222,
336,725,950,796,410,307,923,137,403,105,506,483,321,583,637,518,567,579,069,
168,505,696,520,726,142,757,535,545,922,108,697,229,639,289,397,460,857,598,
182,490,042,042,063,486,603,398,087,623,834,418,779,051,213,410,672,202,356,
595,196,675,875,674,437,241,427,743,790,119,976,299,255,672,383,227,999,116,
286,607,038,101,904,557,954,538,858,248,699,712,238,296,739,656,013,903,905,
626,852,542,979,516,248,147,224,502,198,595,012,505,341,418,991,978,334,391,
678,463,392,193,677,023,030,999,040,731,147,816,685,076,501,554,989,074,273,
856,750,791,347,067,862,396,419,877,341,233,333,281,758,476,195,059,606,975,
994,551,227,064,010,648,902,451,902,123,207,864,570,467,443,877,975,015,664,
662,231,462,890,857,878,264,323,972,050,197,600,605,414,320,000,866,179,507,
169,636,520,393,579,638,267,381,861,515,140,098,691,149,333,528,694,829,651,
928,020,200,120,344,837,073,042,025,906,156,829,200,061,743,395,835,303,781,
306,391,028,074,441,501,138,476,142,637,289,726,944,022,948,275,574,998,731,
836,256,745,359,078,690,951,892,675,491,370,914,376,452,738,725,688,583,165,
204,467,421,942,734,183,159,946,784,755,482,594,711,056,512,649,836,392,264,
251,003,862,992,089,546,608,130,716,330,946,472,577,352,446,477,050,156,492,
523,206,569,076,379,666,596,117,902,032,598,216,910,695,792,413,427,280,074,
786,540,803,793,188,705,137,425,218,919,966,209,073,523,340,217,918,108,161,
180,173,307,186,313,529,217,734,973,209,110,901,548,227,353,634,599,914,039,
045,569,130,756,559,801,140,555,986,290,781,592,306,388,053,815,393,846,492,
310,605,285,218,682,058,056,857,898,563,038,741,711,651,704,443,050,621,218,
092,168,477,598,626,605,791,961,499,893,710,153,987,076,730,393,844,033,056,
498,941,343,764,400,383,264,066,445,687,820,975,696,681,537,141,066,501,182,
828,251,828,146,605,560,965,319,356,513,106,480,003,956,052,818,076,765,965,
320,060,531,308,033,987,324,438,302,066,401,544,177,822,009,669,698,649,710,
718,633,131,713,169,559,899,800,749,029,621,055,692,129,372,914,906,413,799,
473,613,653,603,552,978,654,929,162,487,758,008,379,699,434,255,455,884,866,
010,358,919,087,789,347,273,185,066,651,945,854,153,107,893,020,785,974,549,
286,476,394,014,163,816,483,754,578,974,627,704,691,202,517,111,914,415,330,
167,345,422,472,120,758,241,740,832,682,954,748,081,572,565,818,708,501,833,
728,483,956,569,340,383,980,670,148,568,575,333,552,737,851,648,822,907,439,
442,958,536,043,934,208,355,260,622,175,619,973,817,746,327,311,432,744,905,
386,814,984,696,307,906,180,655,103,440,313,295,945,275,575,965,891,808,566,
233,870,875,524,582,497,679,351,321,589,887,468,304,683,154,736,183,874,667,
426,431,559,197,292,317,755,805,787,036,452,947,920,188,271,737,331,635,576,
395,587,456,960,294,462,622,845,022,990,117,847,294,900,408,120,580,441,600,
188,809,013,832,660,136,575,041,301,737,963,426,548,575,606,963,588,568,935,
002,024,416,317,673,958,828,174,161,321,959,479,598,316,805,801,971,917,728,
012,624,638,559,076,606,828,333,432,245,126,440,349,331,996,208,326,823,854,
784,604,926,268,291,395,781,573,760,878,148,905,864,455,725,821,414,883,744,
192,072,711,272,916,440,669,760,520,469,171,823,874,493,730,916,827,778,645,
288,581,370,392,293,936,652,023,712,577,634,203,281,299,705,379,904,629,705,
059,924,426,776,680,881,127,629,244,645,343,902,717,452,909,760,942,332,275,
264,142,746,721,172,561,242,639,877,235,335,041,955,972,875,853,058,728,809,
036,819,490,709,914,143,077,478,003,015,762,272,712,004,247,128,244,184,214,
308,710,761,427,005,754,209,282,160,777,641,655,383,654,441,373,782,805,637,
231,977,787,865,917,701,950,904,772,402,295,866,560,097,931,661,692,335,423,
185,686,012,292,337,675,537,534,717,982,411,340,645,348,775,445,321,815,999,
346,221,335,088,954,216,985,337,540,029,101,202,557,929,835,988,790,124,772,
085,826,834,590,778,974,673,431,672,778,395,730,570,254,225,540,796,968,429,
451,580,643,148,381,280,347,507,980,042,238,500,236,100,369,056,895,841,761,
743,291,419,557,820,531,295,326,978,549,448,393,668,028,327,167,522,540,222,
905,716,902,786,895,235,948,706,901,107,891,236,266,612,866,632,203,835,473,
864,161,713,996,556,895,864,743,726,425,924,099,550,417,624,012,408,936,220,
960,412,580,355,575,308,881,334,135,515,057,973,243,047,289,346,811,725,853,
987,235,684,051,666,793,939,763,478,828,855,147,926,219,343,388,132,894,995,
505,137,252,167,787,692,742,363,311,630,381,826,554,085,487,529,390,465,652,
425,346,533,430,036,982,371,178,365,603,226,449,751,520,397,070,107,089,171,
027,503,357,339,051,882,623,406,656,838,408,105,022,752,435,632,188,448,629,
235,152,720,118,297,455,713,860,610,161,327,689,047,075,245,937,196,481,358,
099,634,468,620,342,694,663,741,292,635,498,370,388,094,315,098,301,306,318,
542,887,690,537,040,828,454,710,524,846,702,740,474,799,543,911,628,678,036,
744,356,948,884,561,569,140,317,020,871,575,143,346,232,058,032,693,309,587,
254,015,010,622,331,475,026,947,237,995,762,699,480,858,251,009,109,236,338,
330,328,802,203,570,057,027,403,702,149,717,521,405,409,912,234,046,425,522,
111,627,862,731,131,896,070,521,287,807,290,889,113,840,032,608,464,300,254,
177,531,985,117,911,746,455,159,059,395,986,472,656,900,819,298,090,063,431,
529,112,255,570,382,340,509,938,116,245,686,441,796,260,884,453,722,644,787,
801,953,947,661,976,123,503,068,371,895,706,996,818,645,381,008,811,917,893,
802,155,113,624,736,714,262,864,645,846,527,329,516,405,070,925,172,702,985,
731,946,526,706,689,429,317,680,581,540,990,200,894,509,060,056,215,963,935,
815,223,809,837,352,087,259,333,671,356,648,444,856,243,951,717,750,770,570,
339,817,465,102,548,415,391,667,545,823,141,157,994,188,126,036,321,033,021,
605,019,610,590,127,884,360,954,928,067,305,082,703,406,855,884,775,543,039,
428,592,422,001,370,471,445,292,449,458,730,598,428,910,545,780,564,160,522,
291,072,614,652,143,447,577,051,356,121,397,037,665,027,142,537,180,595,146,
405,502,983,721,060,925,062,704,991,700,291,013,941,603,881,799,808,666,977,
075,787,579,884,814,791,370,219,597,214,117,986,002,973,032,371,727,109,652,
831,545,257,627,158,295,373,589,250,725,101,418,072,234,675,202,949,826,233,
385,220,402,316,914,441,226,555,130,794,984,562,279,430,646,799,731,667,997,
007,139,235,999,509,209,778,589,697,284,539,097,890,228,411,883,562,544,625,
144,978,456,068,950,490,636,920,485,641,547,835,944,230,279,732,584,421,351,
133,629,253,871,802,915,948,483,386,638,297,526,005,321,644,935,925,496,003,
744,572,455,870,501,769,300,945,746,906,055,102,830,937,655,956,035,810,195,
531,915,616,276,689,944,979,954,803,734,388,758,128,498,911,642,495,805,347,
171,614,673,205,721,460,639,746,833,384,655,990,926,368,975,048,869,616,341,
424,375,876,786,489,740,993,011,817,083,706,761,820,791,867,663,665,581,953,
911,088,721,742,916,187,265,201,466,721,743,863,451,499,082,772,045,483,209,
147,888,499,210,980,393,004,530,818,136,794,083,429,717,615,811,825,072,603,
098,224,059,778,479,379,418,509,872,714,890,696,983,278,281,122,257,516,431,
770,299,282,619,412,694,750,761,707,820,862,621,797,832,062,499,847,198,860,
678,685,731,632,049,616,223,746,565,524,121,242,887,329,397,689,566,760,548,
056,713,219,996,549,090,345,234,144,475,999,545,630,516,420,642,516,785,861,
048,590,366,524,052,372,603,655,384,974,111,603,217,873,563,785,359,811,486,
749,962,550,611,117,025,660,581,283,903,697,430,256,319,123,639,418,496,977,
053,019,266,308,326,364,979,130,502,337,657,585,005,125,641,805,779,360,208,
532,809,529,435,701,672,852,511,761,781,892,296,794,461,431,984,851,651,179,
000,519,718,052,532,176,127,046,827,364,996,214,708,367,369,264,194,883,901,
426,666,522,415,324,192,943,406,309,889,359,814,735,226,822,837,036,316,209,
539,129,741,162,576,436,276,980,176,487,919,252,712,996,443,826,521,348,846,
284,051,300,266,745,015,291,312,954,397,337,873,645,262,340,176,417,415,825,
011,447,491,327,239,527,388,159,624,956,308,479,448,148,376,411,551,933,088,
985,606,831,424,994,572,770,999,385,411,618,555,617,284,255,730,277,893,903,
796,413,881,741,619,203,165,724,866,477,492,445,500,085,479,781,327,733,743,
313,929,500,349,396,715,845,787,954,027,129,416,333,611,677,293,673,862,064,
604,564,315,771,348,524,460,967,542,168,738,813,051,495,918,063,074,149,721,
843,244,637,565,567,886,214,449,074,265,363,565,899,083,562,637,457,019,794,
795,688,054,951,039,959,132,963,180,956,565,072,460,819,217,484,223,560,502,
666,516,201,227,096,174,094,448,516,954,863,375,431,334,957,134,470,283,103,
763,929,810,122,134,315,736,820,588,254,043,222,161,609,851,027,845,857,552,
080,318,477,548,315,666,881,757,880,192,324,225,499,688,376,526,881,708,439,
457,262,896,963,335,770,714,686,912,584,607,582,279,833,761,407,890,092,606,
883,375,499,579,951,500,352,393,516,432,101,226,928,586,232,062,228,989,294,
464,916,534,177,641,713,785,208,189,571,016,867,448,021,566,681,233,616,865,
771,483,401,986,175,955,373,873,966,369,027,055,268,119,784,763,143,032,403,
792,266,870,717,082,171,696,693,447,715,808,470,304,296,797,723,407,992,400,
785,337,182,045,364,674,531,239,879,871,775,881,836,536,971,264,047,337,036,
028,813,033,553,730,435,056,448,606,915,351,462,029,553,269,454,719,798,644,
725,647,598,929,357,343,525,331,546,933,945,569,314,422,145,472,721,221,788,
168,301,573,965,512,483,070,871,405,665,575,924,997,465,675,213,143,291,335,
025,382,541,660,366,797,567,757,505,826,085,810,240,137,683,591,760,389,938,
131,864,644,491,879,927,239,968,523,437,382,407,402,480,704,753,552,692,357,
960,913,025,936,258,255,193,069,188,711,280,789,446,701,458,474,983,433,576,
317,803,067,285,505,109,496,364,575,874,997,022,521,976,840,994,505,531,082,
983,880,891,570,997,149,487,178,291,089,014,575,503,707,287,698,923,273,055,
963,992,550,021,461,221,013,266,511,342,865,519,395,742,034,397,563,505,635,
031,037,058,318,415,365,671,175,520,073,344,829,814,383,018,582,422,351,558,
321,886,783,354,606,864,366,032,554,167,379,847,000,164,046,653,917,398,480,
535,689,779,558,870,433,497,650,518,221,627,200,457,936,624,477,549,176,478,
834,019,798,419,642,057,160,356,136,552,469,657,409,141,392,331,327,138,010,
309,558,649,190,469,566,855,361,137,878,345,717,229,326,857,445,404,888,440,
163,479,977,317,682,719,468,643,146,906,670,025,187,323,586,178,275,268,444,
251,737,660,306,075,597,132,556,402,311,090,492,169,061,506,452,430,436,461,
788,099,887,072,231,921,023,153,778,747,826,050,336,200,580,335,687,583,072,
858,227,859,448,000,486,768,005,455,147,441,215,755,266,980,180,680,920,800,
365,892,648,012,463,781,298,417,682,325,005,807,507,754,738,838,729,613,320,
656,624,710,675,067,370,748,624,845,798,772,802,503,451,231,950,147,259,514,
316,682,589,489,124,141,042,189,149,207,061,024,856,674,061,659,674,391,209,
980,179,570,990,134,095,767,132,198,877,455,395,298,453,864,251,557,024,983,
853,461,635,119,259,365,901,653,543,956,602,349,793,393,607,825,548,879,573,
959,508,750,964,334,372,585,128,709,616,563,214,953,591,100,805,412,474,724,
315,575,921,966,883,922,640,955,706,254,638,125,267,137,623,258,884,008,126,
408,219,134,985,762,267,168,526,527,491,107,133,069,319,217,845,803,148,307,
339,211,299,136,644,895,640,320,855,369,128,370,937,165,309,704,170,598,696,
018,550,119,053,748,831,689,055,515,965,314,070,427,642,983,245,999,078,454,
969,496,234,973,237,604,000,225,559,185,366,400,610,729,348,668,217,011,383,
695,070,622,937,876,166,829,304,429,655,154,839,594,718,689,031,019,598,289,
165,452,675,616,136,866,231,946,061,441,694,588,666,337,740,186,391,336,220,
324,418,013,582,166,471,699,756,149,535,549,138,919,387,148,327,308,498,189,
694,138,315,244,798,301,221,663,056,721,664,373,266,638,220,559,065,398,742,
357,342,149,133,327,234,461,922,363,066,586,456,854,397,752,681,756,123,555,
562,720,652,114,945,274,364,096,647,998,338,462,259,144,156,078,054,531,969,
061,130,163,297,241,609,052,906,439,807,726,319,945,086,361,624,139,186,498,
723,531,219,039,630,078,678,817,644,351,873,533,608,237,610,494,353,668,854,
494,111,947,953,778,264,579,196,687,292,376,874,231,223,691,230,101,155,508,
113,860,391,925,176,528,223,088,460,013,113,632,775,382,361,303,891,409,680,
277,702,183,239,704,328,966,830,613,051,491,535,718,338,651,923,108,987,228,
071,342,610,827,496,425,081,919,341,388,540,584,999,349,423,869,614,310,546,
552,167,400,355,952,944,370,222,425,489,389,625,011,301,799,933,896,006,363,
711,306,763,713,610,408,688,072,635,208,703,913,761,371,488,829,721,309,077,
331,273,467,383,765,587,451,885,181,617,162,989,005,118,261,302,513,717,930,
717,395,235,234,671,631,086,316,291,145,674,297,848,257,765,375,636,123,500,
816,335,212,500,360,497,080,915,418,658,005,265,212,165,960,751,952,080,381,
275,874,242,709,831,090,088,867,366,131,822,280,360,964,711,686,270,040,171,
306,579,632,554,163,783,703,382,771,103,593,243,058,521,962,787,368,585,438,
495,011,793,777,985,729,120,527,151,942,586,138,300,255,436,410,486,852,934,
246,131,832,831,769,774,471,853,460,930,669,631,007,045,216,351,075,098,619,
217,147,238,361,808,728,592,433,690,553,378,743,670,639,740,713,398,993,338,
690,932,266,113,070,757,349,675,381,329,852,677,990,633,397,802,962,625,202,
397,373,647,892,002,169,158,852,059,217,618,978,853,522,368,065,872,042,846,
782,557,047,171,261,691,743,693,492,980,663,883,500,053,167,381,079,038,932,
746,778,575,506,600,492,132,583,564,626,832,737,356,218,977,827,742,143,663,
660,350,439,026,205,307,581,200,939,434,296,348,448,202,765,337,272,733,568,
918,941,557,624,892,402,143,992,792,999,629,420,853,139,009,261,802,932,075,
441,621,523,852,890,069,054,589,791,088,311,047,224,142,246,769,625,268,132,
471,230,007,240,148,328,479,343,613,368,975,927,249,076,632,798,428,467,149,
976,031,783,025,589,640,580,217,400,054,272,355,815,143,486,953,442,929,308,
514,408,634,370,513,375,084,956,875,656,276,839,190,591,387,662,886,429,417,
089,229,855,880,556,631,363,556,759,198,359,425,059,291,311,493,375,546,616,
875,999,088,748,987,828,018,163,386,054,121,780,448,565,393,898,168,639,429,
104,521,366,736,613,214,222,487,071,104,251,289,376,113,464,529,544,173,766,
521,235,031,196,654,424,859,350,970,707,261,371,625,161,825,262,339,699,174,
729,066,171,318,632,645,765,374,117,555,980,054,186,858,526,300,718,704,471,
376,003,202,424,783,237,688,732,485,412,821,496,509,045,225,304,752,564,685,
894,423,151,050,946,621,643,956,602,436,928,663,725,633,954,479,126,141,820,
937,078,527,692,890,545,499,476,654,719,446,678,295,269,402,061,779,120,653,
482,473,671,382,944,059,749,368,023,677,856,859,041,561,613,679,892,856,437,
083,610,775,434,386,447,853,509,297,074,663,893,073,713,329,394,773,751,885,
537,246,226,064,655,765,774,528,461,225,168,080,840,734,137,036,134,405,853,
383,795,169,798,471,781,557,475,989,737,332,007,670,535,050,674,669,988,953,
239,493,793,505,432,770,886,928,584,117,382,389,668,645,770,251,795,282,806,
948,829,218,272,276,355,260,600,804,412,656,294,871,067,158,899,102,498,016,
589,165,442,491,086,057,258,960,730,332,807,375,308,058,519,274,351,521,645,
571,044,212,119,668,497,711,782,693,628,537,606,342,511,440,673,819,071,769,
036,614,441,831,803,151,791,813,096,298,850,487,123,044,914,540,835,382,547,
763,231,863,182,207,361,555,546,672,069,761,635,987,002,504,558,332,841,252,
102,897,080,128,801,132,802,422,650,214,565,971,625,215,048,746,950,574,946,
229,156,995,274,869,911,720,132,721,204,597,442,268,414,172,705,878,201,389,
784,798,868,483,833,266,787,704,572,228,488,847,293,574,007,528,238,101,015,
376,712,482,442,427,004,342,951,557,707,182,046,007,123,436,761,387,393,467,
658,769,189,216,255,684,849,300,868,275,596,234,874,732,029,895,566,752,378,
097,392,519,137,867,894,139,915,679,216,538,360,957,438,554,990,680,536,361,
846,988,339,637,236,321,395,853,770,488,256,963,727,729,621,515,964,846,140,
792,633,452,283,784,793,171,408,977,580,712,176,203,850,616,043,549,241,171,
991,071,958,862,051,780,354,108,990,563,179,378,425,420,018,890,507,016,933,
584,076,038,829,949,446,583,542,811,261,106,228,295,949,779,608,887,054,453,
652,025,965,853,235,532,636,123,596,505,751,859,019,180,003,483,035,467,049,
791,461,148,029,105,479,780,904,239,745,054,365,290,484,158,393,335,250,980,
774,839,188,609,340,559,882,509,195,133,485,881,497,163,094,101,220,761,717,
868,886,656,398,492,444,192,029,169,202,747,171,874,720,708,911,984,623,293,
082,342,348,034,588,231,259,912,759,459,280,705,018,263,631,820,737,852,574,
087,998,462,858,499,998,218,448,728,637,078,714,111,246,449,347,315,822,767,
947,806,631,891,689,448,247,876,381,897,243,971,886,625,885,596,686,511,643,
357,256,902,532,429,234,258,625,129,683,125,824,812,563,579,321,174,923,461,
911,093,295,026,500,638,489,147,486,689,875,816,353,902,855,711,944,240,858,
229,289,164,160,805,858,571,192,242,627,939,762,333,718,686,970,209,121,628,
421,616,673,587,627,567,701,154,028,167,173,175,542,234,352,835,836,364,232,
502,873,633,127,531,877,119,804,051,016,523,514,039,301,174,022,127,847,199,
011,899,988,517,364,994,225,489,251,685,045,812,495,630,828,634,861,160,069,
109,908,684,436,360,791,146,703,915,948,803,325,848,187,367,026,423,235,696,
293,677,412,232,817,093,042,830,567,684,272,366,827,745,308,577,035,684,341,
666,543,594,717,678,264,915,330,492,059,804,424,272,398,711,687,266,810,519,
209,471,488,583,149,098,860,615,009,873,139,505,621,562,442,012,272,806,961,
294,815,442,041,395,563,304,007,035,916,196,041,096,303,851,934,451,524,528,
964,186,729,809,720,855,972,868,887,371,349,088,875,526,538,393,561,266,616,
208,606,505,691,735,051,501,125,503,596,782,634,550,916,825,504,546,064,861,
989,190,461,790,874,812,078,431,531,033,124,672,777,385,544,294,202,120,653,
320,713,796,095,065,381,128,508,501,461,534,907,299,969,680,266,495,655,897,
054,588,112,136,454,946,244,336,256,322,105,133,512,932,196,551,293,786,664,
502,127,380,962,747,560,569,046,505,792,261,675,238,589,575,660,466,336,102,
373,681,790,543,494,220,389,504,296,341,529,721,421,241,191,804,304,273,633,
272,459,892,678,331,000,385,426,840,117,765,553,398,765,695,725,124,789,848,
908,871,997,622,598,193,475,039,839,415,289,045,857,825,650,852,077,390,758,
714,524,345,563,340,786,298,022,238,648,347,865,324,881,990,437,613,913,279,
485,185,925,469,486,681,685,801,840,823,121,888,434,941,245,405,290,470,335,
662,273,819,237,740,237,649,272,111,467,365,223,307,245,997,984,329,969,847,
631,536,819,079,446,297,142,545,475,334,987,395,056,265,088,368,067,297,681,
391,409,379,426,784,246,743,441,071,786,644,867,218,481,302,189,225,721,112,
174,962,441,723,335,627,188,334,360,211,923,759,034,920,164,619,527,355,239,
816,701,176,012,244,088,322,846,850,710,190,467,893,607,823,866,635,208,209,
261,277,064,945,471,928,885,329,429,878,625,782,597,109,313,567,804,636,378,
029,181,985,245,984,723,591,244,968,170,798,461,369,084,472,971,312,368,466,
506,326,189,437,392,099,107,318,200,107,045,745,666,051,767,762,966,575,929,
164,361,038,268,660,439,848,703,255,568,238,482,314,904,426,823,167,792,842,
952,636,194,096,543,218,730,912,248,348,345,775,090,522,636,736,780,462,270,
032,471,142,379,270,450,161,508,483,589,836,454,786,717,048,227,550,885,899,
122,069,093,720,082,507,085,345,796,554,574,354,392,645,430,283,376,674,391,
295,795,723,925,615,535,816,459,087,242,122,277,423,477,500,114,488,859,658,
537,307,306,053,245,559,735,228,512,212,194,018,747,663,641,745,898,093,835,
566,251,590,334,958,356,971,110,513,188,011,141,060,786,294,291,047,468,993,
611,284,132,400,046,514,751,330,143,115,781,595,666,966,205,380,561,874,215,
491,815,248,026,597,940,863,260,849,678,306,061,636,232,618,225,099,605,955,
170,967,140,942,430,848,145,066,588,870,709,862,436,477,305,199,741,244,854,
438,622,451,896,007,298,721,241,191,215,537,593,562,238,488,297,651,332,735,
252,832,818,046,751,925,173,686,332,763,876,204,873,416,160,592,793,937,078,
999,959,481,581,906,090,499,731,303,469,963,130,288,446,769,115,898,234,366,
125,190,496,946,054,302,081,266,630,292,723,075,990,686,201,008,406,832,093,
280,726,228,424,147,492,958,212,374,917,580,265,437,558,385,274,255,756,514,
919,500,307,352,376,529,491,769,323,471,518,527,545,138,064,349,270,736,939,
817,972,289,135,355,683,348,314,822,907,362,670,863,959,759,693,666,991,289,
535,485,050,146,730,451,176,145,264,114,412,146,715,233,577,332,797,423,225,
274,379,084,637,641,401,533,195,688,630,670,369,600,282,319,603,783,269,562,
327,838,149,873,707,447,526,379,608,891,440,383,151,179,201,615,902,985,315,
091,211,849,632,030,262,082,963,855,778,007,816,240,038,334,064,207,197,205,
078,165,449,474,253,765,700,189,316,897,172,093,154,178,383,762,971,657,384,
342,926,431,693,693,330,541,471,580,790,079,130,250,220,251,024,905,205,781,
734,495,208,041,831,038,512,393,673,870,905,497,779,436,852,580,739,222,533,
924,200,315,642,412,547,857,786,683,695,469,672,762,810,080,296,756,647,884,
238,980,648,846,298,196,597,732,988,166,067,080,768,492,977,094,554,959,499,
592,550,748,421,661,509,545,474,946,962,020,270,032,746,969,908,547,681,347,
944,021,902,952,090,031,560,881,088,373,173,900,248,117,991,262,249,956,458,
497,412,254,587,490,002,829,513,064,644,488,668,705,635,502,986,683,471,677,
911,000,277,283,440,011,233,989,486,077,597,583,896,194,172,716,208,033,879,
743,821,609,734,367,301,711,378,391,553,842,316,184,079,491,962,831,931,695,
035,570,173,750,274,722,111,616,220,641,478,366,502,777,527,705,377,281,177,
208,270,416,234,888,763,384,141,208,647,582,066,405,569,158,974,149,514,068,
273,233,682,678,820,989,814,051,411,032,301,921,426,057,383,266,485,664,022,
153,391,862,295,054,675,024,905,096,914,795,203,394,767,927,437,060,452,616,
039,372,788,799,398,780,907,562,532,374,822,602,393,603,344,239,439,454,565,
099,690,519,609,970,973,014,140,036,928,106,930,642,607,252,982,870,070,608,
393,436,680,126,279,998,726,830,395,926,778,787,125,830,557,848,715,509,231,
519,591,674,364,289,325,185,017,810,443,706,103,391,044,784,913,498,865,831,
854,425,326,502,415,362,746,192,153,784,833,491,989,144,360,804,031,258,096,
428,514,048,094,870,396,558,292,278,406,223,764,467,652,074,995,596,286,314,
806,837,165,216,296,657,173,523,773,503,564,918,016,988,021,027,083,549,459,
175,459,465,992,013,809,635,774,050,714,883,130,517,213,403,421,437,248,376,
238,289,505,735,175,240,566,680,435,148,503,869,306,376,400,658,916,943,344,
982,623,390,085,242,232,232,168,934,743,109,121,712,563,101,662,517,561,963,
418,064,082,500,594,814,881,984,341,140,714,762,228,268,869,146,275,943,275,
265,277,673,470,618,896,229,036,320,355,621,751,511,633,438,226,616,980,975,
720,819,598,482,175,638,092,463,561,305,358,890,039,661,583,544,725,515,962,
527,646,116,455,220,810,808,324,914,990,342,333,482,980,143,518,674,364,023,
876,908,967,658,914,524,939,793,571,803,690,703,469,871,126,379,783,483,407,
625,067,564,345,389,237,275,476,032,673,611,513,910,175,805,776,268,435,277,
059,823,663,746,176,320,108,502,611,552,344,808,281,153,860,783,761,554,549,
763,875,138,685,141,536,575,984,292,912,574,978,550,053,388,087,038,363,968,
080,795,954,849,245,968,694,940,057,745,354,522,536,941,360,854,636,501,542,
812,331,865,611,986,492,754,950,832,614,398,375,990,183,077,898,537,388,589,
739,401,280,278,253,053,061,454,032,875,065,092,706,814,632,929,053,606,382,
882,565,660,396,354,093,014,418,312,805,388,670,304,647,508,156,736,217,201,
457,738,498,724,864,793,100,079,275,150,123,834,492,904,469,736,841,787,590,
418,633,241,968,558,659,411,037,358,981,706,239,439,129,886,081,039,509,771,
168,179,277,382,550,599,082,702,675,216,375,932,707,344,018,828,744,898,418,
447,081,666,425,529,445,535,822,716,659,253,660,179,303,296,616,485,338,045,
936,953,786,932,545,761,614,502,959,601,558,398,304,022,153,567,882,403,631,
197,067,227,588,037,423,585,997,512,674,469,784,537,399,806,017,381,058,174,
718,993,323,037,873,317,395,372,333,742,773,811,742,436,132,110,808,637,468,
926,253,315,582,639,968,849,134,880,025,987,420,122,236,327,678,404,978,143,
719,059,016,301,187,304,081,344,208,628,102,549,778,891,901,181,543,831,596,
262,704,240,898,236,591,026,928,475,968,119,734,877,219,532,212,219,575,277,
511,572,169,243,322,794,500,247,243,261,089,368,401,723,744,732,857,082,197,
822,927,087,988,731,391,140,816,119,980,236,766,398,191,821,947,496,703,092,
435,733,853,938,779,832,000,058,211,670,340,797,030,804,199,054,799,769,187,
896,799,259,234,126,318,220,033,163,683,389,394,155,540,626,464,109,647,837,
042,664,978,176,905,600,067,836,926,060,779,297,210,483,491,243,504,917,425,
640,412,314,766,238,605,809,924,686,444,070,920,061,961,513,639,615,784,306,
925,873,086,680,481,049,206,687,146,978,306,610,870,684,440,441,659,013,710,
666,338,572,381,554,619,033,756,474,717,525,826,329,723,513,666,489,831,964,
503,281,187,589,157,778,497,129,718,535,019,367,835,023,054,281,444,894,044,
157,349,094,891,602,936,318,986,974,385,719,480,998,033,329,156,303,260,734,
813,130,113,318,424,038,940,896,973,647,849,787,087,714,775,368,911,963,197,
581,692,825,446,718,515,780,174,578,877,777,338,450,195,448,457,804,579,721,
056,357,910,471,001,560,819,626,734,328,425,629,468,252,117,805,452,786,047,
524,593,029,094,776,924,526,216,827,763,268,029,135,926,016,240,164,219,918,
197,718,181,371,177,981,086,524,920,070,845,393,239,403,040,774,084,149,705,
815,864,514,161,124,806,328,356,218,569,809,726,613,946,813,842,016,197,841,
661,771,141,861,770,347,418,214,979,663,590,054,094,092,725,064,779,366,802,
963,311,722,743,258,287,558,400,411,820,688,017,377,094,865,444,700,671,062,
246,737,153,148,512,166,081,581,341,627,546,197,951,977,297,120,512,616,753,
894,844,187,352,261,397,056,992,378,889,090,030,594,982,933,716,054,067,853,
823,137,745,623,873,254,223,850,948,581,999,194,360,342,160,265,057,410,460,
431,046,784,768,370,782,430,284,674,210,369,803,488,983,159,008,849,156,394,
958,413,708,651,156,039,497,758,198,272,259,714,612,674,356,127,358,247,200,
475,286,113,912,950,409,601,557,189,693,367,966,380,945,823,677,717,701,716,
954,311,382,221,411,166,649,416,819,703,720,996,698,288,438,963,977,658,193,
570,536,043,150,639,593,416,941,295,637,305,864,574,427,179,370,196,065,107,
495,523,427,350,661,042,673,914,667,704,100,213,018,196,993,792,265,686,813,
355,165,509,399,443,822,744,776,944,341,905,624,986,696,610,906,031,513,853,
484,078,800,339,097,585,334,518,860,021,346,706,383,463,792,482,758,849,948,
313,397,241,502,564,723,888,562,350,410,651,419,988,607,443,753,250,219,100,
113,968,844,120,591,777,751,153,012,045,745,363,770,559,592,270,312,469,168,
218,851,733,175,688,522,339,093,773,791,347,003,521,295,938,432,291,533,026,
179,594,083,974,346,430,958,661,407,217,187,623,561,160,257,524,087,637,637,
164,254,731,514,857,819,737,973,473,498,349,659,380,730,472,798,935,015,074,
730,516,894,497,036,236,902,960,876,201,024,756,745,394,432,283,232,530,683,
408,181,625,390,656,996,195,412,181,398,062,641,650,964,775,974,827,726,825,
517,774,087,839,196,179,995,968,673,162,855,876,968,315,866,999,250,249,041,
155,639,409,460,057,535,454,718,730,229,507,607,911,411,486,944,934,370,827,
570,146,040,013,103,364,199,871,467,924,146,514,883,440,196,649,672,487,242,
818,549,850,587,171,487,950,323,787,830,824,202,675,338,007,787,554,515,993,
854,924,814,275,073,534,210,953,846,538,282,968,359,437,864,421,093,410,011,
693,390,640,276,947,753,166,207,375,590,981,863,264,167,257,180,747,647,528,
924,276,639,372,487,474,992,820,752,700,387,369,302,246,652,058,938,441,738,
336,419,891,498,514,206,692,152,686,621,725,742,451,534,801,282,802,840,092,
791,051,247,211,512,440,190,856,425,163,907,772,626,618,015,889,629,796,731,
547,063,822,355,254,413,768,575,153,262,775,417,813,109,865,789,872,081,180,
208,353,837,134,438,103,497,065,600,306,754,999,954,959,915,244,788,169,269,
091,920,926,475,666,369,142,724,567,057,650,557,343,401,913,886,114,205,896,
810,161,858,511,031,329,838,448,598,973,395,193,123,922,241,168,576,805,998,
633,966,579,229,397,526,705,587,855,506,399,512,673,786,772,663,981,754,620,
251,590,082,141,624,710,511,539,307,907,362,359,090,052,639,149,543,280,705,
373,263,274,002,540,226,248,689,641,062,753,233,563,887,186,303,856,839,811,
144,800,606,189,886,942,316,887,784,499,859,533,051,162,674,421,357,379,037,
306,675,319,590,125,225,680,866,280,824,192,623,117,130,451,614,165,735,679,
754,475,090,772,752,634,793,278,841,295,702,628,741,320,663,678,685,512,958,
312,439,838,654,330,303,228,771,825,131,850,215,325,351,766,920,303,203,995,
970,727,124,092,385,936,525,899,164,140,010,965,521,300,469,415,708,586,434,
162,110,129,920,556,965,659,598,172,781,163,226,942,508,068,956,072,720,023,
773,424,128,910,332,215,588,328,292,515,448,537,013,044,919,110,136,062,139,
286,818,772,527,943,968,899,333,433,887,671,503,017,794,980,442,119,064,792,
533,526,519,199,039,371,232,029,211,140,247,164,266,378,258,343,831,239,325,
816,781,805,484,235,518,376,063,541,752,394,236,366,522,733,064,608,875,100,
900,457,986,964,975,322,452,453,039,290,867,305,030,790,668,746,883,903,155,
114,054,347,936,488,642,782,552,833,797,945,764,322,079,264,251,128,794,755,
774,162,295,593,700,898,170,258,597,946,877,115,172,313,940,780,426,645,235,
752,357,022,842,781,156,509,715,247,980,094,141,285,849,253,414,063,576,632,
609,508,187,896,066,546,409,121,712,380,988,485,282,831,953,159,523,398,435,
738,242,523,576,880,955,348,873,163,964,082,789,516,827,868,160,769,620,232,
287,203,900,297,990,154,599,315,651,901,499,699,788,575,402,334,186,247,833,
481,504,790,788,622,753,562,147,698,708,816,832,026,748,720,615,643,026,459,
698,970,030,040,239,350,427,723,123,158,342,054,264,272,339,969,437,531,026,
870,988,413,991,431,076,442,452,659,069,497,289,436,915,644,776,934,206,569,
348,770,821,854,548,163,697,912,205,594,719,572,240,689,747,794,169,412,564,
611,019,113,794,709,539,803,369,423,821,970,190,678,797,907,769,268,709,337,
844,213,687,550,017,350,431,506,343,997,470,354,857,813,586,667,662,471,545,
879,993,093,692,756,781,630,408,754,108,849,459,169,596,522,520,340,304,283,
118,333,223,436,952,716,485,291,655,522,483,356,787,230,002,857,404,887,273,
573,582,262,776,207,791,449,237,680,728,991,431,431,489,153,797,478,699,328,
685,113,716,041,996,078,715,153,148,196,200,795,089,535,647,449,914,092,853,
089,947,703,062,853,916,936,029,445,864,760,444,651,386,355,383,311,133,026,
126,656,209,257,165,831,029,403,376,716,663,258,809,414,735,271,359,249,511,
940,515,199,238,157,144,897,751,430,281,198,422,228,141,602,026,048,827,454,
043,882,898,549,293,065,142,585,425,173,465,607,460,676,255,203,771,628,614,
352,036,547,356,803,267,430,031,410,914,543,313,031,733,380,639,009,581,235,
179,139,537,104,663,426,014,800,541,277,099,021,245,397,820,548,898,400,595,
693,992,869,527,163,661,472,903,824,144,126,265,268,021,538,024,242,961,895,
603,165,370,223,361,973,961,558,639,746,862,352,001,242,426,577,614,741,182,
228,784,920,223,951,679,566,695,459,448,283,490,289,755,886,737,998,161,382,
819,373,687,673,078,501,344,340,111,323,445,899,151,975,503,940,781,745,354,
338,660,639,088,472,577,735,985,454,585,410,572,554,099,086,812,375,995,932,
017,497,591,346,408,224,997,914,991,052,117,849,997,772,045,763,492,017,481,
085,649,205,917,964,274,524,760,563,817,495,383,040,605,235,476,067,739,142,
386,814,177,074,183,445,274,724,341,328,161,089,859,874,822,994,184,698,638,
857,307,348,544,745,722,257,182,045,405,658,773,292,520,853,672,095,989,509,
272,387,748,572,000,009,220,221,998,441,860,724,581,262,037,776,127,605,947,
702,905,174,551,564,039,126,976,911,020,629,912,077,718,457,584,680,281,797,
662,914,346,114,204,851,380,382,289,090,779,415,236,978,513,901,755,409,363,
192,157,762,882,341,110,157,820,978,382,344,126,662,153,249,801,838,983,385,
560,711,330,564,633,531,550,416,413,162,665,854,570,414,732,327,280,175,490,
303,040,941,484,726,935,445,921,812,799,948,552,333,818,172,018,863,440,245,
534,254,148,900,642,319,037,959,156,758,500,930,338,647,490,300,456,856,552,
492,309,330,585,553,871,005,659,440,347,645,605,463,201,216,527,429,368,090,
297,580,214,954,123,397,394,721,356,344,948,335,964,861,416,716,892,066,426,
292,954,698,247,396,407,986,121,594,464,883,339,336,065,733,903,684,176,845,
960,045,165,650,548,046,421,627,057,420,944,300,860,350,314,671,078,005,528,
642,488,328,498,408,801,124,115,259,018,305,663,614,082,506,130,196,449,732,
813,345,964,977,635,213,662,892,512,166,564,191,554,720,584,800,008,308,916,
461,804,593,961,914,161,021,392,883,959,017,064,489,184,485,655,094,695,570,
471,814,281,002,627,849,938,379,542,104,664,173,639,185,711,512,130,065,293,
143,333,039,257,770,197,864,017,985,686,338,283,334,120,467,662,621,370,266,
054,134,281,016,142,409,578,447,268,771,259,359,191,950,473,724,591,943,922,
800,547,749,827,932,841,912,184,640,466,366,118,090,422,128,611,137,341,850,
112,562,599,186,750,109,477,425,592,409,496,341,278,467,125,766,155,910,233,
510,272,831,449,089,067,882,777,787,062,247,723,980,683,617,263,549,752,839,
362,313,194,209,894,284,404,731,319,761,027,172,562,709,245,391,849,049,764,
168,760,551,435,048,717,446,319,478,794,068,541,366,187,574,043,845,183,676,
462,599,111,587,380,219,094,336,779,217,172,217,156,727,952,802,338,340,900,
717,841,660,045,051,891,945,195,431,977,591,383,676,689,486,563,263,220,427,
588,702,631,405,098,710,594,428,894,693,860,675,221,584,680,768,328,643,461,
812,846,347,856,579,210,629,257,470,970,981,916,197,065,440,044,469,610,185,
553,039,381,965,432,733,740,067,966,995,890,534,145,616,032,200,495,266,468,
564,607,081,085,943,055,858,736,116,693,912,551,851,711,722,277,697,326,142,
712,450,246,102,789,558,109,384,645,651,309,627,800,932,082,884,789,820,382,
514,134,832,129,406,196,447,190,000,519,712,292,922,741,432,394,416,838,037,
040,877,303,933,491,836,414,923,472,647,571,047,499,413,526,919,924,716,079,
223,067,640,918,333,512,147,999,646,182,412,489,293,434,691,856,950,009,105,
787,945,948,431,618,560,813,397,580,952,325,223,566,150,410,980,920,081,110,
730,657,130,496,711,670,525,005,427,114,880,532,787,435,215,820,050,812,703,
803,331,681,667,760,147,041,347,019,580,163,411,597,607,219,553,485,903,485,
660,135,507,684,861,588,639,844,583,242,359,038,007,250,840,952,577,734,580,
985,322,617,771,652,300,946,008,940,421,065,359,514,300,334,561,647,285,024,
792,928,838,509,376,738,128,092,296,450,361,291,557,055,932,414,345,905,415,
602,384,425,024,411,065,589,298,261,108,600,046,513,461,667,892,892,280,564,
275,776,143,867,958,763,669,187,816,789,637,392,481,616,009,330,763,045,862,
154,444,863,508,364,263,794,720,771,275,683,878,791,021,647,781,119,022,259,
999,053,165,433,779,049,590,279,944,709,357,424,755,889,334,011,535,195,603,
622,796,608,184,214,671,227,804,926,047,453,794,758,844,690,677,245,287,606,
877,557,650,222,715,830,366,291,285,000,838,317,307,915,632,133,011,418,545,
268,605,615,080,071,835,210,836,534,992,715,426,059,265,828,957,834,026,684,
267,436,602,941,864,054,727,324,197,637,307,930,044,544,470,851,699,169,714,
732,321,366,288,297,173,353,624,715,994,965,431,144,935,397,804,414,109,661,
238,075,076,983,539,665,480,512,785,845,852,231,944,445,605,764,774,814,522,
541,631,640,678,485,845,150,336,184,923,640,306,186,214,090,629,789,253,680,
688,431,848,671,988,352,592,375,502,455,161,540,761,993,850,207,243,331,138,
792,067,109,929,186,506,885,454,601,619,449,763,510,768,006,944,749,669,557,
041,243,748,123,227,554,326,950,586,867,766,808,964,622,586,021,429,843,831,
527,208,213,262,313,709,615,273,857,402,767,150,846,885,097,734,603,324,230,
837,198,147,473,533,855,188,059,527,332,788,804,276,473,634,186,254,464,678,
858,193,625,495,844,778,844,829,415,106,697,829,559,315,053,135,942,509,960,
610,077,875,567,240,189,655,325,201,105,269,098,811,774,131,180,481,547,172,
336,088,008,569,016,848,940,420,620,116,622,182,365,370,233,937,955,665,960,
697,087,860,533,874,031,380,254,945,134,844,720,227,394,953,650,622,746,318,
857,912,226,459,532,501,372,979,736,717,963,200,490,903,295,578,073,892,620,
513,426,920,669,821,505,022,053,631,729,710,984,880,678,130,095,543,740,576,
541,693,312,122,379,753,501,079,004,277,045,458,455,357,325,522,653,440,298,
048,252,232,376,415,670,029,012,836,945,595,376,910,596,462,398,430,286,424,
201,717,123,048,205,915,618,721,017,518,548,728,230,484,219,468,690,222,737,
062,551,606,601,937,134,175,583,611,188,868,811,600,478,376,782,156,122,320,
971,970,585,285,016,472,222,665,584,070,663,947,085,438,596,914,864,119,077,
158,834,904,194,042,490,689,329,687,274,089,469,989,209,343,585,704,039,617,
964,288,354,403,483,687,093,999,783,501,411,867,415,433,579,784,906,612,961,
057,344,511,032,118,722,457,276,182,230,778,946,089,787,434,107,153,047,685,
251,410,356,405,770,693,916,170,058,696,335,272,254,810,845,732,014,926,090,
472,471,999,969,548,098,655,346,636,084,177,621,934,343,260,239,177,350,269,
613,445,131,862,288,654,002,850,662,921,328,076,900,396,156,840,660,407,877,
831,355,767,152,405,458,805,200,154,098,754,703,860,028,974,299,355,242,580,
492,587,967,165,445,318,582,376,145,744,496,065,632,512,367,027,864,010,558,
872,742,656,708,051,308,653,409,060,335,114,339,829,952,196,093,771,027,717,
702,236,388,149,180,907,866,379,923,893,376,787,592,470,138,522,774,547,025,
886,296,170,191,404,131,465,564,169,020,146,193,803,519,034,957,766,457,440,
884,527,127,554,491,929,766,897,562,331,624,541,867,648,415,563,726,717,497,
410,950,104,274,978,655,707,639,822,314,939,875,777,472,228,585,329,052,324,
602,117,274,826,492,272,831,281,569,316,121,556,187,457,241,661,393,387,973,
507,089,983,867,203,254,634,336,897,460,496,741,386,849,899,130,610,389,930,
348,560,163,339,031,265,277,100,640,774,833,534,619,589,626,792,535,037,692,
449,605,512,647,204,087,757,103,347,851,535,607,494,700,747,509,443,332,431,
574,153,425,266,611,553,238,195,452,715,984,034,205,169,057,275,996,779,102,
426,659,584,866,586,948,574,508,193,746,925,536,160,567,540,076,320,986,334,
326,856,390,257,884,883,748,049,694,902,417,193,275,422,824,065,464,976,112,
229,400,978,454,491,284,464,937,426,285,733,255,373,966,010,684,397,477,429,
450,501,073,043,633,137,059,115,901,029,397,408,499,205,792,158,171,518,652,
357,066,481,551,696,506,365,385,133,110,814,583,068,549,131,209,027,006,143,
655,444,495,728,417,098,904,786,266,684,191,285,644,347,559,384,448,880,326,
837,359,356,938,720,277,420,679,037,085,624,404,002,486,193,423,665,822,042,
447,868,391,668,657,146,501,410,858,895,699,530,382,982,052,974,486,340,566,
568,565,095,044,086,325,065,339,348,064,425,122,362,856,173,399,526,068,790,
560,806,186,327,938,129,140,781,044,756,709,816,949,314,084,482,013,062,520,
252,383,468,623,329,875,308,447,317,586,443,704,511,894,887,433,219,370,169,
147,144,550,389,982,450,771,835,965,110,617,331,045,307,511,399,590,962,522,
741,163,917,982,834,556,893,307,546,891,905,018,054,713,756,605,038,571,684,
707,800,218,550,444,255,126,261,487,919,399,928,408,381,407,286,207,689,485,
816,690,650,876,739,983,548,144,018,921,882,954,799,873,067,363,372,920,899,
745,476,538,815,158,754,914,707,983,681,557,633,456,392,029,298,074,742,911,
850,249,167,774,065,362,094,255,385,182,387,498,184,985,422,077,163,358,746,
035,672,194,420,882,122,049,293,624,340,359,020,538,515,741,554,544,343,086,
673,968,281,957,296,122,100,626,903,580,754,125,322,517,250,224,420,095,011,
639,606,557,691,386,228,211,664,507,691,741,621,460,377,261,699,650,156,455,
972,719,666,562,279,151,821,410,199,046,204,944,752,626,692,322,639,335,534,
619,448,646,019,440,555,704,355,936,595,127,224,017,099,223,394,276,886,652,
708,733,449,371,347,361,140,938,569,848,858,215,479,752,837,510,332,444,809,
748,415,140,091,229,465,199,484,893,279,543,978,938,353,753,901,858,212,856,
896,559,621,588,871,763,529,090,882,638,523,652,338,474,115,459,468,481,284,
150,749,907,139,367,581,889,665,674,063,275,359,359,664,277,517,745,104,226,
980,007,453,331,687,075,551,392,705,899,967,135,879,408,398,139,129,047,752,
055,966,347,742,568,495,542,894,228,551,205,876,674,748,255,152,035,546,859,
622,770,853,766,185,241,131,360,811,729,791,316,238,306,555,954,726,652,879,
134,317,608,683,102,398,932,923,700,288,444,056,214,293,996,106,960,275,753,
301,996,143,143,360,008,662,136,374,001,539,090,663,387,761,352,858,147,039,
434,263,047,642,549,921,455,152,502,542,658,198,028,428,785,956,430,185,383,
790,204,143,090,279,493,167,801,747,406,598,597,520,506,052,637,681,746,793,
396,924,078,601,269,048,843,664,906,824,732,723,223,237,297,779,310,118,810,
137,985,514,551,870,198,294,534,145,453,507,105,899,920,681,387,653,229,175,
814,507,229,377,677,540,337,608,381,601,129,586,498,544,905,128,380,025,874,
445,176,486,197,265,381,414,359,547,692,561,311,736,606,648,408,015,358,912,
216,360,253,603,776,535,817,843,386,697,052,927,207,753,612,795,081,431,518,
042,312,954,169,439,165,965,832,318,656,176,127,930,155,382,152,325,516,874,
074,593,639,693,803,948,084,059,261,609,860,641,678,746,813,177,591,233,348,
090,574,373,582,647,052,876,998,845,419,696,252,958,036,132,821,401,681,120,
555,412,298,640,159,024,852,679,221,142,480,548,794,399,797,380,818,723,697,
126,291,831,518,714,778,792,019,833,602,351,604,181,320,531,956,299,121,813,
858,505,989,362,316,770,245,230,666,029,130,141,358,727,953,982,797,899,019,
482,660,184,380,635,767,392,766,775,769,410,500,689,789,606,533,308,279,053,
210,850,207,455,092,963,062,233,344,595,582,303,506,687,882,323,606,902,880,
537,680,932,762,678,353,589,620,852,309,692,860,914,132,422,517,166,633,940,
311,129,499,779,391,703,688,807,645,651,598,161,899,940,824,572,487,496,714,
779,891,806,628,917,018,428,401,541,540,593,112,645,329,983,155,467,358,880,
970,336,002,154,801,849,144,060,816,073,958,685,228,404,535,672,277,160,630,
830,884,310,557,338,257,687,425,491,188,048,866,629,261,363,290,872,578,160,
531,137,422,879,435,314,847,039,566,022,793,976,124,613,922,508,128,863,312,
273,393,891,017,376,071,330,500,024,379,113,497,019,732,437,281,656,257,704,
519,638,242,770,319,374,177,806,900,698,013,513,375,201,909,719,771,031,806,
114,284,616,372,101,949,492,497,604,564,936,698,636,588,416,322,562,219,259,
779,228,622,013,806,329,518,127,797,238,352,217,876,277,641,728,533,739,220,
571,819,263,267,624,560,150,565,793,507,089,215,355,803,091,962,612,324,818,
587,508,970,066,156,021,033,863,019,268,534,046,002,379,858,404,984,407,476,
641,623,368,580,564,223,491,177,463,756,126,834,831,086,179,160,163,074,233,
827,409,334,552,544,547,879,476,723,379,367,001,485,012,570,681,965,718,726,
570,960,692,473,257,845,453,081,123,577,991,913,930,895,693,140,095,359,602,
279,522,260,789,827,779,133,674,015,503,597,919,088,898,593,139,430,324,962,
870,138,203,523,973,242,111,915,093,105,678,567,233,033,339,121,817,198,890,
794,366,988,700,221,409,381,750,858,621,240,541,655,620,558,275,938,051,768,
922,275,588,728,336,290,853,774,274,616,474,273,870,229,550,922,830,170,011,
539,064,491,769,442,412,050,078,550,125,254,160,634,607,965,395,696,305,170,
243,739,199,209,310,541,559,267,017,787,577,069,353,048,511,020,483,868,927,
107,724,232,157,751,583,931,504,972,640,837,703,823,430,560,041,920,528,971,
301,632,589,297,137,061,942,075,155,682,056,447,348,222,503,920,894,303,381,
671,073,156,716,264,441,746,771,952,884,115,730,453,401,076,721,191,806,505,
849,148,441,340,458,269,790,174,145,486,207,467,450,313,347,168,974,856,184,
301,745,780,806,230,548,263,155,025,578,061,903,173,570,963,356,427,019,326,
124,537,185,918,657,071,680,041,934,933,700,946,572,906,118,032,283,317,502,
924,457,233,717,540,663,469,171,854,378,041,254,298,539,995,503,101,448,230,
438,209,231,931,553,083,670,535,092,349,182,772,199,869,269,366,252,169,685,
859,078,994,607,002,044,756,263,957,175,805,265,649,191,683,688,959,561,784,
672,020,705,081,895,933,760,753,261,592,734,269,351,972,935,942,786,876,126,
550,892,368,543,075,129,704,392,189,576,548,660,021,684,066,643,148,741,708,
148,268,193,421,886,544,835,533,784,860,087,134,034,683,101,598,336,157,315,
154,111,202,228,982,661,162,570,983,727,894,652,714,433,741,239,153,823,308,
428,197,456,548,235,889,918,446,019,536,456,980,035,898,872,013,930,636,056,
187,439,227,115,999,420,708,428,849,165,406,415,399,078,844,907,662,989,470,
942,460,720,022,730,511,998,557,340,534,697,391,063,317,994,970,035,180,283,
151,982,132,197,653,298,672,684,193,559,923,493,263,190,213,966,461,592,694,
162,326,568,738,020,143,953,207,232,852,475,400,652,146,158,864,951,599,209,
088,089,804,133,496,935,712,330,690,470,627,883,104,687,944,354,389,871,594,
964,368,866,075,659,170,173,161,271,274,572,716,328,778,294,696,053,884,122,
990,517,840,145,989,238,879,962,248,332,798,407,781,503,771,820,116,548,672,
458,587,286,331,685,387,355,149,335,737,588,112,090,051,874,033,153,097,031,
363,514,452,054,241,976,628,948,498,834,001,009,002,639,368,513,304,682,857,
454,511,148,809,248,691,089,318,531,809,857,937,155,525,073,005,166,710,087,
107,552,841,783,751,555,775,769,222,239,455,362,017,715,710,504,190,390,911,
755,239,267,619,573,640,018,657,918,550,649,022,997,401,856,163,517,462,127,
122,004,699,144,488,812,804,316,980,441,144,913,507,540,691,598,415,708,812,
017,027,852,639,361,943,166,088,810,167,653,122,419,726,233,496,693,848,673,
594,040,648,941,122,669,326,460,758,336,783,128,384,362,163,180,927,378,454,
267,587,420,570,584,690,108,942,879,034,726,872,307,919,044,724,588,670,874,
589,287,546,639,447,465,306,625,224,089,092,098,201,958,702,914,400,382,970,
955,490,236,442,930,551,664,112,674,635,696,586,629,192,697,919,449,333,223,
407,864,499,023,977,050,880,580,034,030,380,211,069,917,969,468,068,508,907,
184,707,529,163,227,916,557,809,827,896,304,256,854,628,507,409,685,859,715,
385,814,106,486,905,442,780,382,376,823,578,217,687,848,519,473,208,704,205,
776,248,578,990,654,080,919,236,313,829,068,182,219,240,778,198,324,224,235,
619,834,152,909,298,541,908,045,617,041,172,698,180,531,920,043,772,135,033,
950,901,299,272,642,878,592,482,185,552,857,220,044,656,012,048,919,882,422,
425,162,169,117,159,893,053,396,751,905,017,965,757,105,271,845,805,193,547,
937,120,730,563,699,863,332,716,580,618,209,582,549,966,733,593,025,025,050,
045,022,263,366,771,911,006,428,878,723,453,566,460,035,882,045,547,955,641,
472,475,753,601,499,148,850,447,844,490,788,550,905,171,046,468,003,259,126,
565,150,011,100,993,226,640,570,050,315,450,000,933,210,188,205,284,854,058,
288,123,631,944,898,704,826,773,433,425,127,354,257,636,504,294,490,262,542,
796,056,304,902,676,651,360,945,910,177,484,961,280,770,648,233,289,625,192,
385,597,991,761,567,637,189,644,276,252,322,439,481,714,241,914,807,001,291,
833,486,195,844,291,927,238,500,184,657,979,457,084,106,285,836,390,193,810,
745,252,493,702,292,982,594,388,518,994,521,920,591,046,759,144,323,537,554,
478,571,233,831,230,024,976,707,111,548,407,883,213,673,949,497,270,646,682,
530,238,591,078,497,821,698,147,518,477,950,093,218,500,827,074,482,597,579,
990,683,734,129,681,090,903,551,586,086,259,151,467,221,464,802,358,629,340,
014,699,578,166,430,257,014,833,835,125,596,938,407,060,703,037,974,955,719,
821,863,876,687,594,111,952,425,139,724,812,284,018,129,356,755,817,985,906,
345,027,097,921,751,006,054,483,711,342,712,866,374,160,118,834,630,783,328,
147,363,568,170,605,177,222,903,272,483,012,020,893,314,176,000,121,210,412,
786,800,164,637,305,649,575,407,148,127,635,645,191,118,587,825,451,035,864,
992,343,418,379,000,524,130,151,268,459,286,689,205,136,718,389,080,429,038,
964,979,457,687,624,152,993,776,781,355,204,958,047,822,129,616,304,650,281,
847,274,638,423,790,061,065,678,741,258,748,469,800,160,474,031,899,150,376,
108,541,991,113,871,616,727,706,375,356,332,104,839,851,241,332,525,881,819,
490,574,279,596,425,840,447,143,279,968,217,858,699,654,772,681,010,009,063,
116,586,894,811,117,184,496,158,081,614,518,578,296,470,570,854,353,673,436,
600,453,006,241,544,312,531,039,810,717,706,591,205,137,198,376,639,830,247,
999,009,439,961,031,037,670,011,918,934,744,069,176,701,967,374,882,007,677,
020,786,804,725,009,230,001,822,108,302,495,171,005,107,448,266,036,789,709,
624,576,713,376,483,178,220,940,659,211,464,854,136,780,665,584,255,823,295,
762,890,895,605,376,727,410,353,008,522,205,573,346,940,231,098,852,713,298,
481,389,100,329,768,635,932,190,566,354,310,171,539,101,759,583,182,833,094,
909,294,475,643,565,102,433,546,737,388,636,614,147,429,919,293,964,764,368,
038,956,729,950,197,774,649,625,613,294,678,339,139,975,860,706,287,546,691,
205,746,912,005,259,707,935,747,068,716,815,256,101,267,384,193,305,881,296,
395,989,592,843,584,944,200,689,404,874,659,087,028,573,579,962,875,780,345,
253,326,798,752,881,063,509,669,190,762,559,840,631,649,182,311,472,947,082,
727,589,895,805,453,652,927,422,706,565,717,393,391,391,042,481,773,461,508,
536,362,051,689,723,976,811,414,368,357,057,252,848,607,207,449,800,308,483,
596,471,156,038,243,274,314,328,631,631,828,248,104,463,021,562,764,168,993,
613,822,382,757,449,896,458,620,216,636,651,923,318,401,204,383,242,358,913,
113,572,893,269,033,635,469,696,313,677,084,351,802,537,500,138,573,860,460,
497,193,085,640,186,938,899,368,777,568,605,591,354,796,129,094,046,109,908,
843,737,233,262,831,680,972,349,610,151,085,116,972,390,711,788,905,532,018,
499,212,760,997,675,651,737,374,383,040,171,909,970,911,143,277,799,451,546,
980,840,095,822,912,382,272,340,610,637,654,143,685,252,027,269,875,480,849,
173,824,977,551,458,755,107,534,246,987,951,695,821,561,485,452,112,062,503,
858,937,976,298,123,992,746,340,866,650,272,275,795,838,683,398,622,687,585,
155,562,406,624,205,862,273,945,353,161,425,365,193,567,441,535,608,688,981,
193,665,226,981,797,043,068,304,244,439,853,785,395,266,634,791,848,181,027,
381,943,279,903,759,738,686,953,235,095,675,487,858,770,547,544,373,159,807,
620,221,523,601,477,142,032,458,996,718,853,397,683,970,484,642,616,429,089,
006,213,509,843,502,632,462,850,621,718,696,485,320,812,501,712,756,848,112,
610,433,816,013,118,781,470,864,076,066,332,955,232,576,914,091,674,082,813,
757,797,418,882,016,283,249,161,873,288,076,340,970,041,797,630,554,308,786,
681,512,474,164,559,982,658,905,630,566,523,814,521,847,801,536,974,114,610,
083,172,670,336,163,420,926,127,558,458,704,076,010,747,956,006,027,564,536,
379,080,840,348,270,598,261,614,227,630,325,353,777,044,286,705,553,513,200,
722,033,276,682,337,303,897,896,429,642,747,878,893,458,820,873,646,264,721,
921,751,453,525,789,432,061,444,980,772,826,580,370,879,772,620,405,667,092,
861,487,958,530,180,149,760,381,381,111,808,675,931,041,258,621,223,460,899,
634,557,247,606,097,804,717,384,052,138,576,925,172,752,034,249,178,764,648,
103,659,284,524,810,014,778,510,523,850,362,050,900,180,325,122,552,132,928,
611,550,188,255,723,870,629,062,608,442,685,545,462,754,118,952,204,404,620,
587,126,811,483,580,515,044,433,157,488,978,484,445,992,343,148,547,563,849,
972,242,990,506,623,001,142,113,468,762,892,631,588,823,393,804,190,070,220,
805,701,771,330,491,904,931,076,907,766,381,820,396,253,958,974,727,628,837,
304,688,842,503,191,223,003,020,224,392,919,053,456,363,940,397,167,685,105,
432,013,940,074,402,244,549,151,611,721,047,223,323,604,937,926,313,756,131,
691,903,826,556,787,973,662,175,555,224,658,994,595,014,005,394,025,988,545,
188,346,836,877,839,228,665,255,455,244,440,059,044,241,998,256,853,266,055,
225,028,982,202,053,659,867,641,830,898,085,297,589,375,899,761,963,110,357,
561,519,884,834,262,878,069,697,601,052,774,563,170,939,340,462,862,378,788,
236,052,509,496,532,551,021,076,235,711,983,609,047,918,055,040,939,470,498,
389,867,370,192,494,441,845,883,327,754,298,003,744,067,671,597,932,653,566,
972,170,179,569,141,606,461,358,184,146,417,853,869,354,831,802,854,011,712,
886,637,508,592,696,298,509,419,140,526,340,365,183,844,721,698,838,150,431,
520,944,046,900,594,709,225,493,080,982,978,185,484,268,465,429,017,916,615,
581,898,249,622,466,807,186,274,425,861,092,588,595,532,649,714,862,993,074,
614,456,183,461,198,584,946,815,921,235,789,428,283,298,927,875,664,830,147,
046,578,695,012,603,477,305,258,160,087,340,093,380,030,226,373,332,601,483,
587,450,404,521,162,975,915,774,241,812,290,814,226,897,433,771,470,152,622,
118,501,613,334,010,379,912,613,311,114,535,690,737,389,770,845,540,374,028,
949,155,757,943,075,548,624,875,137,361,143,778,153,981,708,533,569,251,924,
130,658,000,302,813,999,518,529,205,937,772,010,332,905,623,741,708,954,355,
233,019,433,048,969,564,253,902,604,945,642,888,553,630,003,039,553,682,178,
654,423,614,678,831,049,647,229,654,511,324,566,267,786,179,777,804,482,264,
675,715,263,986,223,047,416,091,800,600,940,642,952,078,969,563,499,916,217,
399,658,632,226,986,579,538,384,173,836,493,287,094,231,174,501,859,889,102,
981,369,618,279,991,377,629,549,807,630,565,714,144,608,991,942,130,370,586,
053,674,313,877,426,680,056,306,949,759,400,720,565,421,292,916,582,850,491,
804,784,647,438,048,252,269,732,517,922,707,199,259,737,524,192,867,077,170,
232,702,200,857,845,687,225,383,653,734,996,458,220,060,000,282,887,571,497,
607,595,008,501,624,927,406,725,950,857,394,917,112,265,738,265,274,070,077,
380,713,011,956,665,985,181,892,820,856,061,891,883,515,874,739,628,677,372,
909,465,020,930,126,261,510,435,834,830,367,818,693,733,987,829,776,083,851,
678,542,802,124,917,600,342,217,797,775,353,069,030,331,069,218,226,723,407,
979,468,880,614,128,849,885,630,356,065,321,053,280,195,273,682,261,650,737,
417,612,132,266,409,908,258,060,133,396,287,312,294,106,243,308,306,311,367,
055,281,915,713,303,087,627,869,388,035,091,808,257,138,803,361,045,233,465,
852,561,633,380,750,675,456,804,577,106,537,640,099,295,435,427,152,471,363,
396,629,467,320,138,466,429,433,522,759,680,595,510,530,136,002,461,463,587,
406,221,458,096,070,360,462,396,671,827,700,446,664,506,042,629,612,062,167,
228,034,127,042,011,760,740,208,283,630,955,500,508,776,212,256,650,524,333,
784,884,674,691,849,202,127,400,053,450,182,344,434,240,907,177,463,024,330,
692,622,501,537,025,749,777,999,026,395,756,195,241,838,584,549,325,248,510,
431,228,256,673,879,771,240,253,666,346,429,202,150,616,458,492,908,109,685,
748,491,440,276,358,064,002,116,448,363,743,022,909,137,370,545,187,555,763,
176,227,640,166,472,250,277,473,030,217,374,164,507,652,715,756,865,346,183,
703,703,399,432,039,871,429,810,382,801,706,228,265,769,584,846,445,439,654,
937,828,558,663,699,552,759,145,847,262,793,856,718,453,329,684,132,244,401,
897,710,225,934,342,922,551,310,492,488,115,084,673,775,115,385,737,029,132,
830,677,784,772,472,050,581,851,048,101,338,089,582,534,477,286,453,941,622,
108,163,598,430,890,667,769,100,088,679,953,197,935,380,416,193,871,783,428,
658,691,798,408,381,213,739,947,363,190,462,087,881,426,017,325,052,662,101,
927,296,514,718,849,830,428,301,454,594,349,836,363,752,514,855,121,559,745,
721,016,803,582,380,977,836,343,213,919,363,698,186,988,806,958,372,916,473,
804,943,089,747,492,878,529,439,286,695,791,057,280,996,101,368,179,471,244,
184,204,208,463,592,819,647,880,380,840,349,376,195,496,343,187,533,720,056,
553,323,059,030,623,852,347,240,745,512,412,379,162,645,124,061,145,220,527,
857,295,518,110,363,463,966,780,229,837,646,534,532,662,115,171,922,309,616,
474,022,676,767,462,825,711,352,806,793,296,838,856,595,815,780,071,956,564,
077,783,920,486,474,357,891,959,411,398,716,581,042,701,417,303,978,470,938,
076,353,413,597,557,820,393,257,939,491,256,517,687,080,666,554,454,441,326,
353,325,011,574,110,390,020,992,860,921,764,739,577,379,675,226,170,862,510,
886,994,668,895,176,531,568,152,009,268,285,551,525,679,410,952,218,301,584,
941,824,610,098,334,663,437,185,140,723,586,108,586,843,637,657,975,875,500,
233,088,998,098,552,087,593,889,105,411,031,369,791,091,782,159,478,170,205,
245,850,181,773,915,438,404,524,194,469,890,616,223,226,212,016,287,424,326,
660,713,600,215,791,632,704,498,792,028,399,925,784,831,117,636,884,430,027,
814,611,667,412,558,544,344,349,814,883,957,932,366,852,185,185,928,374,389,
899,943,035,408,469,250,681,998,127,255,367,926,987,548,515,963,687,309,616,
007,754,719,216,600,802,780,943,065,942,133,286,191,285,986,566,095,878,712,
758,952,050,087,392,200,442,258,816,272,815,451,720,340,630,423,694,434,638,
999,462,865,473,858,996,968,731,319,703,450,178,644,564,541,483,316,184,520,
737,994,911,205,421,999,743,016,980,232,737,591,917,380,495,810,052,651,900,
537,826,521,745,254,551,607,172,919,356,792,211,907,233,991,060,705,259,383,
115,943,521,937,262,958,872,432,960,767,738,667,764,722,937,675,389,604,451,
927,542,842,070,175,372,630,237,963,160,994,137,183,150,973,776,784,231,593,
191,223,019,017,304,950,733,915,140,454,817,069,667,928,451,885,086,561,764,
008,727,083,839,765,735,596,033,658,021,129,618,034,346,305,738,398,011,306,
624,852,390,682,453,637,362,636,216,679,204,820,091,628,229,311,848,355,978,
682,638,366,974,193,106,724,540,843,740,144,961,389,686,739,513,155,859,289,
878,835,407,037,556,830,939,923,490,155,287,036,333,520,627,798,533,838,649,
214,037,029,722,240,758,033,892,101,948,136,824,853,157,901,488,943,241,431,
065,355,990,982,180,996,745,286,032,465,330,790,484,664,027,453,729,080,845,
897,536,046,243,596,964,787,714,122,764,531,702,638,820,474,301,903,563,753,
040,681,373,052,837,005,126,601,647,182,153,028,715,867,142,833,959,000,776,
357,470,090,656,630,356,445,783,548,494,651,740,911,145,816,645,438,561,471,
354,171,112,618,329,235,948,715,195,260,336,406,496,424,019,427,331,131,897,
663,753,275,514,652,013,584,655,893,784,639,866,010,729,706,807,775,504,907,
908,997,326,631,275,198,411,492,203,654,909,092,022,168,566,832,191,068,717,
299,950,617,969,937,127,209,910,376,455,326,555,439,911,053,906,956,928,969,
115,801,828,162,357,748,201,295,214,147,270,642,405,868,227,613,117,972,348,
597,290,787,108,576,842,556,846,446,372,477,602,480,818,349,067,719,550,191,
288,925,204,824,225,814,691,960,891,765,043,330,412,513,656,169,470,262,603,
706,084,955,466,838,841,902,894,529,019,470,354,115,612,015,713,337,731,415,
154,190,729,407,659,732,537,403,557,477,598,680,577,033,262,950,381,911,083,
703,259,156,098,620,856,032,207,417,072,430,990,567,554,541,729,035,843,623,
214,066,738,277,605,928,805,105,119,705,997,956,591,099,131,351,664,027,299,
700,629,338,695,369,299,310,192,139,289,056,832,729,099,236,462,556,445,022,
074,505,999,780,434,320,058,291,341,826,835,090,575,705,647,799,454,563,000,
952,134,484,742,080,296,607,147,583,913,457,143,549,417,077,412,496,273,070,
431,283,728,115,421,208,558,046,882,303,270,108,845,363,387,838,875,541,908,
200,758,299,370,617,678,135,532,168,937,382,841,532,567,562,294,244,343,835,
598,541,025,052,667,408,495,987,293,336,491,732,486,849,782,960,425,716,400,
702,290,344,021,426,344,617,610,787,953,862,153,238,784,351,807,269,370,912,
479,098,562,377,272,719,842,104,586,946,695,882,253,373,580,294,798,848,561,
850,428,110,121,641,266,056,756,376,732,391,372,732,156,974,280,385,658,661,
652,591,819,326,735,869,366,322,332,950,196,463,321,477,189,626,819,777,123,
804,406,421,406,381,253,283,600,728,759,170,908,946,175,461,352,466,823,937,
614,196,998,402,294,638,182,610,659,153,662,952,256,165,994,456,270,093,735,
371,152,264,728,998,190,120,671,402,142,980,595,969,127,514,563,612,888,030,
572,876,917,107,653,548,438,583,443,801,879,431,687,804,541,864,564,848,195,
867,656,558,111,744,170,441,763,730,510,874,687,325,607,462,546,316,004,971,
714,534,579,832,464,493,982,924,884,667,263,034,352,474,822,765,999,808,089,
249,320,342,635,245,009,078,529,915,881,910,947,532,579,645,688,109,852,650,
705,233,249,137,453,357,276,187,154,849,225,897,954,751,534,699,040,213,781,
752,288,520,129,367,655,842,916,415,539,014,313,927,932,532,661,087,557,857,
160,882,537,093,105,479,955,825,893,200,207,942,724,339,746,772,316,817,386,
647,282,467,831,561,237,033,941,384,416,733,325,985,730,306,854,514,584,724,
002,011,973,087,269,142,881,620,784,127,202,459,720,784,079,312,209,281,210,
716,586,997,241,822,632,193,629,147,929,077,555,469,705,770,525,099,073,787,
212,181,525,353,987,345,433,329,022,456,269,148,350,636,998,617,914,129,158,
154,073,525,719,526,502,944,470,990,302,419,834,794,742,166,051,967,670,630,
539,986,068,444,693,897,664,836,213,751,648,339,701,524,106,871,940,829,507,
789,470,090,678,916,510,698,006,123,721,404,111,738,243,253,350,492,077,666,
185,715,789,774,815,017,187,784,612,570,812,938,938,125,170,192,051,854,016,
994,516,023,086,270,338,785,703,567,211,784,873,333,772,714,671,134,945,107,
865,784,054,432,992,756,936,563,319,939,692,125,214,619,256,090,684,173,114,
402,382,390,777,445,330,670,076,013,721,615,293,845,156,644,231,639,253,783,
546,455,769,624,800,704,245,510,324,172,771,976,262,655,609,523,374,773,816,
677,977,652,924,972,071,458,766,996,014,592,116,665,075,572,938,771,035,334,
270,122,892,520,348,332,915,593,206,090,254,035,002,291,122,404,684,202,701,
037,885,555,191,487,946,116,309,499,623,094,725,899,883,221,303,466,320,002,
960,566,059,101,984,676,743,882,248,516,567,834,496,556,952,619,157,365,284,
634,298,390,934,982,779,826,874,611,165,223,759,432,045,874,580,558,043,391,
165,308,661,674,026,171,492,344,655,433,725,912,230,973,318,784,297,612,310,
860,838,803,522,226,829,569,550,620,878,809,658,508,465,880,051,827,289,867,
581,214,373,517,942,426,627,379,666,486,400,125,832,210,185,540,675,149,509,
643,960,987,907,190,342,976,876,032,454,398,581,280,480,127,874,124,476,082,
884,884,318,034,609,271,927,586,825,951,509,726,519,888,426,160,588,808,479,
497,319,882,239,796,916,005,270,452,598,479,555,069,033,711,109,317,685,633,
612,541,561,365,565,889,817,581,222,003,989,641,216,005,272,472,926,348,640,
873,359,120,427,082,962,910,432,117,106,290,221,020,542,384,959,210,981,674,
450,147,796,227,819,665,597,229,662,244,322,301,557,504,122,536,819,992,024,
863,384,928,574,336,570,418,488,156,327,778,045,173,986,714,215,421,632,851,
414,673,086,876,359,283,194,210,425,854,396,070,717,134,477,805,108,246,432,
021,362,129,160,134,928,170,854,000,484,059,614,688,593,157,210,080,463,489,
234,992,252,582,212,707,394,308,697,894,957,984,979,671,551,852,140,921,456,
396,755,585,787,674,596,250,179,266,513,771,513,689,115,184,913,783,402,049,
452,971,373,958,479,935,096,869,971,659,567,906,168,486,334,742,001,507,497,
618,889,734,882,107,609,710,457,405,535,413,543,088,141,519,581,767,083,777,
849,016,689,232,431,274,310,200,803,784,126,490,358,276,408,918,594,736,127,
344,743,028,610,835,116,941,723,335,255,257,082,138,445,438,758,863,801,456,
083,336,409,437,750,822,931,809,028,274,741,374,703,637,783,203,704,675,209,
969,064,608,889,731,746,531,244,020,276,761,782,482,755,151,535,128,494,562,
379,098,266,556,862,411,826,232,705,905,353,028,558,063,967,424,081,841,209,
298,974,814,214,656,612,569,700,322,652,441,813,671,064,349,065,277,106,922,
966,038,627,924,853,855,362,005,998,066,806,588,399,518,920,220,446,408,554,
608,090,288,195,283,764,146,149,484,506,456,838,373,915,947,248,803,996,535,
137,217,053,344,788,580,902,738,705,798,975,115,543,303,086,509,661,343,042,
470,148,059,011,085,596,823,820,660,749,921,661,742,253,945,582,253,462,339,
099,599,012,750,630,720,952,180,280,972,773,371,587,059,567,359,448,805,392,
754,944,059,553,283,060,956,345,616,174,568,647,193,804,987,587,957,689,885,
646,346,872,217,453,972,060,793,906,974,205,767,163,210,229,241,977,058,968,
352,051,504,693,060,129,363,886,590,148,455,924,692,238,314,523,143,564,133,
374,864,798,509,106,984,877,324,867,449,273,875,729,707,841,988,003,073,746,
205,200,557,307,265,304,406,011,425,452,827,692,893,026,897,673,035,871,243,
333,905,452,400,307,796,421,782,553,946,091,923,703,430,298,538,354,108,797,
360,204,357,957,003,340,721,944,425,873,186,210,193,937,566,946,874,905,291,
928,435,235,755,625,712,360,248,472,512,548,158,551,374,409,892,023,017,736,
654,839,394,185,124,691,841,786,917,006,825,335,468,295,378,009,136,677,610,
991,339,211,487,392,950,710,296,047,994,119,952,969,952,736,535,699,767,787,
316,983,907,393,596,421,322,450,515,759,825,713,554,397,670,553,229,822,649,
127,741,556,359,732,229,059,908,276,127,123,301,689,385,972,021,742,019,384,
789,980,338,860,153,316,512,880,998,862,754,695,195,295,704,757,739,395,533,
310,527,391,152,125,047,879,893,810,424,775,026,048,337,576,845,952,819,897,
440,351,176,215,022,618,123,383,330,462,000,107,194,744,704,030,029,413,660,
563,980,737,182,339,211,889,671,977,043,133,365,200,000,821,285,783,564,065,
864,795,137,618,722,606,595,198,746,135,131,405,638,026,543,771,759,693,741,
780,054,453,816,161,068,547,217,836,048,000,342,222,785,120,714,497,839,957,
137,473,732,163,987,572,653,343,469,015,929,032,869,263,888,321,373,330,443,
801,581,697,609,118,515,664,354,359,574,366,926,580,383,976,259,385,401,370,
014,882,137,832,515,512,221,622,280,118,897,394,883,608,817,384,850,118,853,
417,163,855,342,103,680,264,666,242,006,186,977,021,635,680,080,800,971,543,
152,539,372,815,697,128,310,642,430,695,021,404,477,613,003,397,747,925,573,
250,106,672,585,923,430,609,098,382,918,789,610,463,051,320,429,479,342,179,
425,863,387,485,910,585,261,830,606,407,438,633,975,839,423,985,043,681,106,
305,634,723,519,732,324,233,599,317,570,419,442,295,418,526,787,662,129,475,
947,486,009,605,816,577,712,571,395,839,597,886,291,178,617,125,291,439,339,
672,949,735,046,583,684,033,963,801,220,641,893,006,683,368,987,083,444,877,
013,496,208,999,190,580,993,947,444,655,599,037,630,220,780,334,252,351,230,
766,056,568,348,382,315,274,899,492,816,962,117,860,323,039,486,769,329,597,
257,944,295,404,841,294,502,477,422,386,204,535,478,753,093,012,080,147,775,
320,739,234,150,705,512,649,711,706,194,458,334,391,955,763,960,271,073,850,
537,433,201,857,325,920,181,756,964,814,090,940,514,861,719,639,365,623,592,
340,038,219,322,650,156,935,299,737,219,268,973,151,618,919,427,825,706,966,
891,119,454,043,708,115,984,078,049,474,114,659,062,086,355,438,203,620,837,
451,536,259,286,749,178,493,210,044,164,863,946,465,835,335,301,646,636,299,
165,494,440,618,518,560,178,362,364,205,756,111,127,172,330,182,881,054,422,
038,408,476,720,503,266,439,323,566,511,854,742,639,814,492,542,858,887,975,
723,746,307,505,390,738,201,607,550,201,355,437,270,064,330,929,686,257,805,
525,266,501,947,630,055,205,500,600,687,227,903,906,804,761,339,432,587,141,
845,670,553,869,030,675,782,617,425,336,069,222,007,949,391,102,904,623,979,
216,772,239,465,055,928,808,882,405,138,504,919,484,213,403,300,173,972,929,
536,513,021,982,835,559,906,113,005,456,710,413,988,874,410,929,000,393,001,
528,248,333,172,974,555,461,133,731,113,778,754,546,050,524,588,125,733,739,
707,377,386,784,497,723,821,423,584,204,762,432,469,059,487,512,481,971,696,
184,044,057,538,055,638,077,079,498,785,944,596,279,378,876,644,356,044,158,
013,382,249,495,713,752,257,415,963,275,686,315,097,748,511,245,087,872,583,
902,415,680,925,163,084,739,931,886,622,869,547,381,795,038,911,276,830,932,
308,144,278,001,699,903,349,450,422,045,296,858,854,030,898,089,532,987,325,
255,237,654,064,495,042,743,346,358,001,062,441,357,251,201,993,539,841,402,
155,681,210,006,638,822,950,457,496,811,332,488,791,603,676,257,802,262,216,
959,257,488,637,724,341,246,636,923,223,176,204,382,506,629,057,479,142,821,
337,494,951,305,942,391,018,083,423,108,079,197,582,984,712,190,915,392,491,
205,961,055,912,170,515,703,702,391,881,256,028,578,178,228,663,512,804,665,
889,380,911,357,251,489,845,673,775,795,826,912,482,632,788,664,543,570,670,
556,906,023,861,070,360,045,354,208,294,359,855,826,859,939,976,459,829,360,
551,421,317,791,666,763,440,568,043,019,513,396,662,385,100,541,146,769,870,
029,694,226,238,034,139,112,036,556,099,689,745,516,625,205,588,424,213,185,
917,769,440,424,800,830,483,027,462,421,381,363,399,919,749,277,566,380,865,
970,974,197,758,002,743,027,154,171,173,253,207,772,126,865,901,692,694,662,
196,617,107,011,551,829,602,201,908,671,629,906,176,938,346,897,240,670,813,
174,961,137,815,899,818,316,287,488,772,148,437,532,881,324,967,082,074,298,
840,722,023,075,127,585,497,123,826,579,231,629,034,609,661,765,812,281,437,
452,485,496,841,033,998,985,062,130,966,326,164,260,368,618,354,579,253,285,
304,096,039,677,978,141,255,559,850,515,858,581,555,267,599,343,788,482,885,
488,877,287,591,284,293,608,387,711,693,290,792,737,246,520,685,514,252,630,
020,670,180,370,866,846,682,376,254,806,816,502,621,550,343,242,194,709,846,
883,876,306,282,263,621,023,320,003,492,358,549,774,276,951,790,599,691,808,
009,467,185,370,046,244,473,008,892,200,501,375,853,948,414,452,583,091,287,
620,260,551,612,127,816,691,771,486,256,621,039,529,558,922,074,792,946,492,
573,407,551,289,143,597,375,170,906,509,274,766,321,390,213,295,121,391,042,
232,727,909,979,526,087,886,908,579,744,625,908,317,821,200,060,343,206,796,
620,382,574,315,957,552,085,017,975,025,349,735,581,354,013,483,887,871,681,
274,874,202,421,112,297,736,341,245,744,644,479,627,467,624,509,551,811,832,
006,668,497,273,395,484,831,515,660,256,210,268,182,211,102,172,421,884,224,
831,169,672,136,121,776,968,766,722,459,442,422,261,284,381,249,165,899,534,
158,811,397,788,334,759,880,457,093,335,552,005,575,272,986,995,057,186,740,
264,513,862,718,391,984,685,015,289,488,256,662,399,916,659,420,385,636,911,
453,478,113,988,805,027,138,477,634,885,191,900,766,185,533,194,344,330,829,
044,326,272,544,613,155,040,155,181,936,318,682,645,401,985,784,679,323,942,
680,513,700,654,913,659,814,414,702,117,065,459,607,326,340,875,661,275,205,
752,930,143,403,239,073,450,770,054,460,309,486,402,265,777,556,139,062,424,
602,006,880,419,529,107,650,810,707,697,694,844,556,860,059,730,769,693,339,
083,771,890,734,031,842,266,376,569,330,601,130,294,419,752,697,236,495,479,
871,353,497,518,592,295,476,083,270,743,731,267,770,579,678,852,626,640,910,
390,250,443,688,089,555,974,769,983,001,173,758,507,187,494,460,710,784,470,
493,832,866,473,277,308,352,361,855,565,134,360,775,784,855,709,115,630,275,
888,920,578,911,010,898,968,668,842,056,773,690,138,305,407,325,654,263,289,
458,474,205,532,118,698,387,625,325,839,054,843,943,627,136,717,902,219,070,
181,824,472,578,334,330,524,488,813,748,857,140,545,933,210,672,334,029,936,
130,499,934,494,072,979,053,598,641,424,400,560,028,712,066,139,665,892,993,
042,196,696,930,011,503,546,530,091,815,095,714,012,845,575,568,077,502,932,
106,438,590,578,761,505,318,003,743,707,706,863,139,876,993,653,907,287,148,
811,234,443,761,858,137,194,390,706,845,056,372,241,231,345,089,073,148,114,
471,590,020,315,486,755,957,697,673,239,973,503,256,816,408,789,985,026,575,
993,651,686,614,929,119,922,310,931,133,006,551,617,011,393,470,263,266,112,
516,124,032,923,032,944,622,986,959,701,049,641,359,447,056,076,416,063,764,
448,291,249,384,193,154,684,985,116,553,651,975,516,541,206,152,102,669,339,
073,506,547,230,040,614,974,849,627,666,783,994,701,515,814,090,153,638,944,
284,109,666,184,684,438,070,163,485,870,658,159,687,693,527,189,624,317,217,
478,600,716,075,613,281,871,719,481,666,383,817,831,417,644,662,221,677,069,
046,278,246,274,012,869,702,501,149,572,313,796,656,342,318,264,838,501,274,
428,696,985,017,439,507,082,690,940,688,704,976,850,768,980,412,248,890,982,
867,509,093,638,190,524,120,990,185,485,755,758,412,815,235,623,943,261,695,
001,217,731,151,385,613,799,744,395,080,696,752,780,485,368,283,540,449,807,
697,952,395,151,279,110,736,057,089,639,583,914,767,525,898,718,273,302,471,
347,102,215,595,453,980,076,873,133,915,875,934,151,283,445,469,171,000,412,
391,105,822,633,779,578,428,649,406,157,192,427,584,359,872,165,207,981,314,
588,855,078,997,676,790,173,475,306,189,638,856,512,228,349,998,544,738,649,
670,043,668,266,742,599,841,891,283,789,713,132,563,104,312,502,464,426,512,
929,818,567,556,132,013,660,929,981,913,368,619,332,486,436,335,779,437,065,
803,242,347,553,323,815,594,795,405,474,318,340,801,095,389,151,836,628,593,
513,982,324,833,997,547,403,283,569,620,992,980,480,918,504,180,997,387,082,
059,431,068,182,310,387,622,174,079,558,514,077,128,009,728,505,359,198,562,
815,738,020,014,339,593,671,849,104,545,521,445,935,277,970,344,511,832,171,
204,265,112,432,367,291,566,069,081,450,691,119,674,773,001,462,303,199,281,
881,179,633,989,768,018,047,274,311,060,962,974,133,492,170,894,257,230,702,
439,454,202,062,563,469,052,227,206,585,743,782,346,749,152,325,668,671,160,
565,126,101,558,169,122,181,010,239,969,228,299,481,811,127,914,938,031,721,
114,472,954,685,950,558,060,760,947,863,609,264,724,617,579,415,542,914,445,
303,623,433,218,473,167,769,312,341,359,877,268,831,562,224,549,007,039,135,
946,195,931,591,069,197,413,837,751,887,387,782,181,589,560,650,485,013,162,
069,609,000,966,291,054,623,021,156,355,665,737,059,535,442,778,159,466,185,
834,241,457,076,215,744,500,550,273,769,618,785,864,494,438,487,886,045,771,
764,510,704,443,153,930,604,845,331,386,508,679,839,099,674,879,314,938,551,
309,163,934,982,242,471,455,504,355,301,032,647,705,587,130,939,926,819,681,
567,986,350,258,122,388,177,311,356,324,010,633,982,935,628,006,071,252,132,
236,285,284,179,316,694,226,592,818,045,067,548,315,040,101,070,725,008,828,
370,986,336,167,670,738,723,345,182,793,667,364,180,128,129,046,673,321,159,
335,340,200,147,183,570,794,631,594,172,193,252,187,361,053,002,692,267,061,
941,317,327,475,217,717,126,962,729,306,695,466,930,621,011,636,621,069,828,
697,907,774,357,243,150,939,859,647,840,530,282,338,010,301,392,058,901,663,
356,519,743,534,501,197,442,783,056,149,851,798,686,396,208,963,376,593,387,
822,890,262,912,935,782,915,606,447,030,712,625,025,967,655,230,878,010,382,
086,583,232,094,396,397,506,739,185,556,851,119,740,797,953,976,587,915,020,
155,235,413,559,251,272,913,666,053,651,063,685,506,268,885,731,371,927,313,
453,695,184,077,889,410,700,042,156,960,607,167,333,940,175,227,318,500,986,
759,150,007,138,684,801,248,096,688,888,466,695,394,189,620,699,834,055,251,
704,077,042,619,949,920,126,664,108,695,490,112,333,089,925,043,752,831,308,
816,556,349,343,808,906,535,152,475,905,841,253,578,573,385,158,820,619,777,
062,926,372,262,283,280,034,592,618,230,380,628,221,712,760,480,798,444,250,
783,541,474,242,335,242,233,020,281,891,085,747,743,158,368,421,439,707,598,
941,971,135,328,814,401,919,228,328,422,755,175,202,886,101,710,984,898,767,
684,085,823,710,611,012,889,642,829,490,313,123,516,230,120,458,859,272,407,
511,696,881,758,916,887,992,179,880,871,041,046,810,028,073,560,584,411,980,
659,309,311,072,244,177,675,090,239,669,136,923,506,758,590,528,994,809,723,
805,392,146,529,281,784,348,619,814,468,490,912,519,244,797,690,377,575,727,
688,258,545,324,677,786,808,022,927,056,945,501,474,692,834,140,916,866,436,
930,258,866,189,853,262,459,965,955,279,681,092,751,527,111,028,432,168,417,
172,401,685,154,013,767,472,574,217,587,627,187,047,927,328,773,533,452,557,
058,173,308,339,251,395,054,557,427,461,176,494,276,632,585,040,842,634,756,
179,547,048,431,303,817,655,724,467,423,462,405,820,212,371,352,307,136,456,
426,021,799,313,024,394,105,843,847,554,556,409,055,903,544,813,453,845,467,
153,073,665,929,536,904,459,936,662,299,084,215,835,213,359,098,885,932,036,
302,768,277,151,419,813,386,536,319,588,348,335,215,702,861,474,727,866,981,
652,240,958,474,032,701,571,828,711,395,317,130,807,525,591,552,024,239,242,
738,824,395,638,434,953,196,646,228,271,497,153,905,342,386,476,563,911,587,
404,165,112,094,296,326,827,253,724,535,683,222,302,818,224,428,305,182,083,
871,364,461,782,368,665,822,018,340,168,289,627,730,181,326,295,383,794,478,
480,006,890,263,919,453,347,046,883,085,946,316,675,274,997,451,804,762,319,
674,061,515,252,586,824,181,138,357,356,183,252,922,547,477,210,009,606,713,
034,838,019,501,003,903,849,592,398,247,669,012,796,535,789,816,217,726,736,
513,272,540,531,143,377,323,851,665,926,336,396,807,392,081,773,943,769,099,
981,526,811,461,742,188,837,170,677,887,943,563,644,036,113,758,068,695,595,
546,308,770,422,921,751,237,262,975,142,184,572,014,533,994,342,573,783,095,
687,480,998,440,094,750,919,397,026,416,591,078,320,283,828,018,787,204,531,
410,486,632,882,187,314,630,202,248,389,145,917,179,934,172,805,985,776,415,
022,805,951,458,828,465,956,259,097,027,179,609,511,748,729,066,263,345,132,
661,262,747,333,146,589,817,333,669,270,970,546,366,842,527,414,820,581,829,
201,497,529,926,364,952,722,064,846,949,718,190,423,219,140,198,759,826,288,
685,339,719,409,882,430,006,361,710,807,072,697,638,882,090,970,749,070,784,
665,842,570,916,360,521,986,432,384,819,236,909,075,941,757,463,317,891,025,
659,491,532,197,293,399,714,960,965,499,305,658,220,296,336,678,247,486,628,
078,381,273,723,844,417,720,203,740,237,650,595,719,167,759,246,773,590,560,
646,495,673,194,092,480,670,779,205,563,815,928,896,827,385,754,979,311,434,
141,951,328,197,046,117,806,352,290,637,634,353,228,012,408,609,302,358,785,
153,269,851,216,658,192,077,435,513,462,846,807,780,477,790,079,118,973,786,
365,319,473,964,911,113,718,202,029,639,699,263,971,633,900,492,509,973,481,
636,009,402,038,838,741,253,631,773,099,836,749,004,002,978,911,458,398,980,
767,272,097,401,263,422,686,679,844,059,942,026,714,296,462,292,893,235,987,
262,818,813,606,159,296,735,773,202,503,023,765,905,827,256,036,780,140,271,
865,394,538,367,189,431,866,562,145,432,183,958,550,443,192,360,415,633,417,
288,042,263,392,693,137,950,819,329,206,411,876,073,111,240,654,397,583,548,
543,635,773,973,449,713,474,760,365,341,252,958,589,120,459,574,368,615,280,
605,764,785,361,384,160,022,312,040,799,812,086,761,417,020,237,429,495,985,
826,034,641,892,928,981,791,049,490,558,901,977,915,277,588,842,515,355,409,
352,738,026,904,257,580,749,468,767,563,092,667,893,051,524,269,474,956,209,
211,797,863,384,968,629,735,854,960,506,541,400,463,916,141,921,735,617,494,
302,968,673,346,083,438,497,476,973,783,542,443,436,117,833,921,339,711,056,
932,223,118,870,280,740,135,371,373,390,764,761,380,958,459,960,969,369,762,
185,315,653,230,748,658,012,518,267,616,469,185,433,493,696,132,374,913,726,
728,559,142,452,752,255,016,445,725,697,541,729,580,419,623,280,492,409,470,
785,308,208,073,949,520,487,521,900,496,340,349,541,118,313,864,951,939,358,
551,886,661,623,722,921,081,937,453,151,248,892,165,951,616,369,829,738,970,
933,044,411,255,295,040,764,100,630,362,399,400,383,563,737,881,040,160,068,
360,449,008,706,215,920,577,296,001,760,881,197,578,276,395,030,234,643,993,
421,507,424,890,627,562,441,508,044,809,102,406,359,107,893,620,076,790,600,
238,014,849,390,304,936,566,061,482,362,539,904,195,857,954,162,650,438,084,
692,607,131,008,944,257,504,624,792,782,961,810,783,868,663,513,132,601,906,
927,436,421,886,762,225,160,479,382,344,876,674,451,152,306,328,801,048,829,
171,151,749,682,009,824,590,442,110,817,985,339,474,718,115,199,721,514,402,
110,247,044,713,459,399,021,836,242,484,432,745,236,768,876,808,977,848,284,
431,119,841,181,724,235,800,095,643,085,018,148,704,653,935,100,608,645,734,
913,967,395,288,499,439,639,389,647,673,946,787,903,149,974,636,485,124,520,
579,096,860,582,715,102,968,313,712,620,956,768,597,997,280,838,054,936,610,
807,675,117,865,148,864,792,208,547,558,437,152,613,941,021,796,124,569,353,
835,138,680,033,327,955,584,895,717,940,930,172,995,805,633,639,372,613,471,
941,798,533,199,791,115,025,181,069,149,539,624,687,732,954,121,013,491,554,
589,722,718,367,995,417,522,136,323,087,578,407,212,769,595,416,299,832,980,
040,811,609,886,005,689,434,107,516,639,099,097,908,613,188,357,116,900,021,
909,234,335,546,962,588,355,430,145,982,143,491,667,717,469,716,888,913,993,
124,919,933,339,717,511,754,214,755,611,386,377,765,751,826,093,594,692,542,
771,011,798,691,472,697,590,826,785,211,803,102,482,963,578,873,217,938,640,
294,686,687,039,010,163,162,378,637,523,939,557,899,831,108,109,307,189,291,
490,053,228,279,244,507,843,218,241,026,098,779,110,430,445,134,995,936,820,
856,557,269,548,104,666,538,846,084,038,460,544,456,318,919,107,320,414,327,
642,904,463,940,277,148,740,031,224,950,618,727,150,302,788,734,130,119,258,
571,162,581,192,343,316,355,683,025,633,823,910,025,452,376,054,864,058,847,
918,860,770,417,188,684,035,778,217,001,298,016,483,147,063,669,785,198,507,
618,412,887,446,792,982,660,698,639,997,010,903,026,269,353,589,899,173,746,
861,166,047,866,737,209,402,940,410,806,204,900,100,832,640,866,977,868,613,
201,628,961,512,955,874,636,234,304,461,228,351,891,755,913,092,840,354,802,
254,797,486,203,046,491,322,942,092,644,436,573,289,636,964,534,798,031,024,
291,743,546,203,387,808,521,387,119,364,242,448,287,915,809,426,069,659,314,
549,304,562,892,993,520,923,786,557,795,159,603,905,005,870,374,688,066,228,
395,144,019,909,060,431,678,723,076,317,334,737,959,183,538,059,101,774,479,
763,483,015,537,223,722,092,175,100,846,563,184,477,802,630,498,113,556,892,
576,901,866,316,795,922,455,972,408,847,628,513,476,166,840,662,223,058,661,
863,478,295,801,184,058,628,246,096,772,286,620,983,561,863,677,566,687,438,
266,664,286,812,074,421,082,569,101,354,251,366,383,710,491,270,587,969,531,
360,574,851,232,531,524,565,133,325,560,388,440,026,824,718,724,732,566,547,
716,696,631,888,058,662,783,972,770,384,474,018,969,285,966,396,011,487,528,
119,730,016,589,473,278,823,479,415,105,384,746,198,173,722,042,974,987,703,
392,404,154,442,082,023,070,880,697,141,909,819,698,993,723,496,140,257,368,
330,443,614,709,324,571,176,912,711,374,491,135,852,675,851,225,873,058,139,
367,441,945,892,803,909,292,823,135,115,085,631,448,201,936,003,774,485,923,
014,273,260,981,612,660,049,653,296,904,380,960,224,441,082,852,179,672,483,
661,764,773,017,188,783,330,539,237,099,671,933,909,725,498,303,857,360,806,
592,073,798,528,369,958,342,994,970,495,582,468,786,266,415,808,708,503,145,
948,385,452,556,253,933,116,171,892,104,954,538,675,790,546,172,289,255,857,
228,684,607,874,150,883,919,036,097,803,718,687,012,234,064,364,548,073,645,
209,928,835,738,788,199,936,322,830,309,877,711,227,411,535,523,769,800,579,
238,712,282,292,966,310,994,225,349,642,144,488,183,584,129,990,595,262,806,
390,634,586,548,570,917,171,877,874,810,938,568,796,383,777,682,039,410,589,
050,968,107,240,740,867,527,962,814,007,000,676,737,999,088,754,640,738,421,
252,011,417,566,704,346,191,710,813,228,112,687,966,663,816,089,970,273,044,
964,994,528,045,200,129,485,636,596,506,886,634,140,998,683,924,313,000,328,
126,702,463,477,670,606,604,596,746,179,490,574,663,469,837,982,888,482,894,
785,136,276,384,552,162,603,883,974,073,476,248,409,763,539,633,530,536,242,
434,320,243,692,561,469,834,034,871,117,353,100,785,648,740,248,004,410,221,
040,087,628,444,299,352,977,406,569,017,550,327,735,464,943,585,488,603,892,
544,439,736,416,984,715,355,888,721,249,756,087,384,021,290,964,539,440,233,
912,375,912,226,678,207,968,888,757,312,545,417,108,845,529,940,053,405,719,
485,562,833,326,940,879,159,516,153,078,772,237,453,741,175,791,978,796,723,
805,175,701,864,973,748,438,650,651,710,379,205,918,047,212,230,485,089,660,
907,130,558,879,216,043,364,308,864,739,329,586,397,556,958,893,562,962,171,
444,265,636,003,948,310,664,232,108,084,840,103,086,822,915,978,203,970,670,
335,704,715,368,422,540,403,646,152,174,926,484,846,726,007,018,496,705,943,
469,153,864,202,924,127,042,648,965,299,146,345,488,190,759,071,083,556,868,
034,713,752,208,626,944,164,223,321,432,435,304,955,899,825,674,725,680,254,
351,368,555,610,474,045,375,889,388,171,740,391,555,847,678,167,902,944,523,
784,843,913,318,511,344,360,094,905,665,420,700,144,313,164,778,732,469,609,
854,708,296,784,704,031,151,076,574,719,523,686,723,268,926,559,166,485,810,
309,631,111,444,188,843,446,967,365,062,986,001,772,953,459,753,947,123,307,
445,599,398,710,552,576,300,643,344,204,114,259,477,162,695,416,636,471,880,
222,542,063,085,790,480,855,262,668,602,985,643,686,256,297,676,235,841,198,
526,177,874,707,172,591,476,020,099,421,050,379,397,652,670,470,196,378,800,
201,045,903,205,754,655,919,806,799,489,124,062,825,254,571,482,451,259,714,
211,253,476,715,766,570,374,200,816,865,641,392,371,270,297,095,011,289,267,
098,585,522,784,751,546,523,849,305,495,644,634,679,248,374,977,379,934,488,
833,978,349,551,072,284,255,514,116,538,071,731,634,326,524,361,697,699,889,
172,780,963,958,896,484,814,240,222,455,782,405,989,470,056,994,982,313,781,
413,512,326,370,016,876,130,078,865,065,547,658,444,869,173,598,824,611,656,
905,115,688,686,814,961,657,248,068,492,978,533,860,585,745,658,541,168,247,
076,820,556,064,172,993,695,156,552,071,086,174,755,952,243,705,442,320,162,
828,574,055,922,221,525,208,900,466,820,262,380,324,428,246,870,772,960,264,
781,471,425,297,379,673,241,418,717,017,252,155,677,829,921,810,870,521,393,
941,156,240,287,954,336,440,285,017,214,948,104,771,829,699,882,413,500,059,
022,217,784,092,935,873,132,035,942,233,216,445,186,496,338,691,149,909,971,
135,248,627,890,700,450,076,935,533,583,705,508,565,945,426,987,831,630,287,
299,589,559,854,787,200,117,746,434,577,408,198,049,396,643,065,365,681,758,
736,059,559,339,211,993,908,840,892,979,348,415,763,945,915,061,605,532,401,
087,338,532,016,679,586,792,588,809,920,877,357,890,970,127,346,335,873,973,
294,274,611,646,355,402,618,146,332,244,764,081,497,744,393,457,836,776,734,
519,741,726,001,438,601,581,455,011,901,304,306,088,551,553,858,477,159,498,
533,833,638,621,469,543,726,984,964,014,255,414,725,275,348,976,607,396,784,
620,402,982,688,532,844,698,009,479,518,940,697,349,781,659,224,251,661,205,
810,360,508,810,589,279,502,766,974,602,318,409,269,415,465,732,176,022,414,
238,010,072,063,497,943,188,484,574,509,131,134,573,278,365,433,305,481,718,
690,664,881,399,679,148,145,409,792,843,630,607,753,985,784,297,628,763,561,
165,795,841,939,849,294,685,015,035,945,330,311,911,906,645,779,620,062,377,
402,857,275,473,855,167,413,816,689,167,453,237,171,732,437,314,872,566,164,
047,793,013,582,116,366,403,046,116,681,911,714,110,089,554,952,019,669,816,
211,819,350,076,473,388,527,625,540,344,672,589,082,314,568,276,964,145,109,
091,045,985,419,676,579,011,194,498,984,007,486,386,324,681,348,093,526,206,
978,724,470,789,580,315,967,272,014,812,589,962,365,575,986,809,509,993,883,
404,582,661,251,681,746,477,673,850,375,295,383,435,804,601,232,361,355,317,
384,625,494,702,576,635,680,669,318,311,415,832,629,542,820,972,163,430,448,
550,203,096,282,177,165,803,449,279,156,830,002,269,252,986,300,862,474,693,
777,705,387,850,548,314,067,764,293,170,817,731,667,336,830,214,367,529,903,
375,667,782,930,339,290,792,137,746,769,343,180,576,908,803,938,961,225,518,
535,938,156,899,433,884,615,361,672,965,940,391,967,956,167,659,490,526,121,
947,993,259,449,749,420,206,054,358,394,178,723,967,016,723,923,744,142,599,
571,254,822,564,946,183,331,662,100,908,920,251,575,486,684,082,999,352,834,
146,695,498,910,790,092,251,049,744,488,491,809,907,313,550,938,912,711,182,
937,412,441,241,870,571,387,794,773,432,821,954,365,680,506,511,416,335,888,
703,325,277,339,522,497,459,522,276,499,757,050,144,560,445,505,978,713,641,
235,226,839,036,242,406,236,983,127,577,630,849,085,097,361,682,231,264,854,
945,987,004,478,878,732,601,165,203,771,670,379,415,719,407,876,114,609,122,
337,868,043,992,023,937,039,519,008,859,987,732,295,747,504,042,275,122,931,
707,611,572,045,861,635,903,116,091,924,547,909,927,362,500,445,724,224,064,
984,049,879,656,957,178,872,477,413,011,095,009,899,358,974,645,552,384,386,
124,544,433,626,048,675,924,792,885,046,590,382,501,269,373,189,198,509,383,
017,993,307,074,926,483,131,376,632,066,423,080,408,257,861,361,131,742,235,
864,667,507,130,173,010,670,187,992,504,809,589,429,764,086,988,902,570,181,
106,056,906,683,555,654,608,491,162,882,217,265,292,467,948,666,713,777,638,
252,705,650,869,673,245,959,439,658,284,284,068,521,309,617,115,751,961,741,
868,253,222,276,564,435,152,665,939,553,639,909,190,040,047,646,542,876,671,
420,844,308,503,946,135,480,522,393,344,984,288,246,337,439,630,206,838,122,
695,351,408,582,900,601,576,948,096,136,911,049,722,692,207,139,206,244,766,
507,793,565,052,747,680,709,184,957,210,194,448,889,919,138,423,866,661,017,
779,032,135,089,663,174,711,068,561,115,242,973,437,669,560,643,257,507,221,
583,502,998,258,312,183,372,558,947,642,982,525,418,441,376,177,948,153,418,
898,871,593,370,534,669,284,110,486,322,648,152,366,531,795,655,034,315,468,
431,351,883,701,283,910,561,854,481,822,966,308,140,749,243,058,097,113,394,
023,967,486,673,072,677,070,675,063,548,805,427,126,336,494,800,928,476,642,
584,236,113,531,268,881,087,460,532,451,992,640,289,568,945,035,341,740,102,
796,075,544,056,737,907,728,991,492,068,843,576,418,707,588,689,798,963,224,
990,158,975,690,894,953,824,801,549,457,563,990,198,270,813,863,223,588,841,
796,537,842,000,641,342,998,998,995,424,617,847,711,022,871,084,533,066,683,
826,190,718,672,117,086,536,337,117,043,063,346,009,635,484,064,398,726,308,
538,623,127,300,011,171,131,953,286,196,599,915,439,193,768,027,551,245,222,
428,364,503,580,998,564,910,994,820,903,943,556,682,911,859,605,635,045,680,
153,983,894,980,812,342,496,453,551,410,676,002,099,227,089,712,520,102,590,
426,439,091,463,155,269,492,909,598,029,370,319,552,347,179,789,584,809,169,
975,714,356,756,833,221,826,210,731,907,098,553,832,338,637,080,351,012,464,
779,659,876,691,003,426,952,863,327,184,443,932,386,210,480,005,138,485,775,
296,508,904,141,466,089,037,871,366,970,314,634,780,214,483,571,114,846,414,
668,353,790,767,317,839,263,741,586,219,006,602,216,800,444,601,910,998,588,
685,017,559,584,499,433,370,286,648,009,231,824,558,092,557,308,752,743,990,
559,823,020,854,718,443,784,775,083,125,885,403,723,284,440,302,637,176,401,
092,813,949,520,085,359,642,547,012,072,142,113,348,700,178,318,517,936,340,
686,878,256,571,265,918,062,809,401,883,218,691,323,695,342,806,407,944,494,
094,294,599,305,230,839,639,946,258,073,910,639,703,389,005,239,540,270,943,
321,247,164,167,834,698,268,721,333,247,386,428,715,762,518,032,840,089,170,
053,701,762,504,862,550,666,303,435,510,275,486,446,733,446,690,500,158,447,
072,710,422,757,096,930,612,038,138,476,147,857,770,021,390,145,027,405,377,
170,716,735,655,485,360,540,559,115,526,953,672,225,880,095,371,890,982,385,
828,553,227,201,650,921,917,582,693,098,536,185,439,578,930,885,598,873,635,
931,544,060,699,232,393,089,122,917,630,822,386,293,526,783,578,009,631,974,
819,296,759,877,838,728,513,094,358,964,779,207,852,380,556,394,832,612,580,
455,085,045,652,249,790,756,989,786,410,288,195,152,217,447,496,041,426,567,
395,589,247,010,998,533,411,707,318,295,062,001,723,603,874,220,458,056,640,
266,589,848,438,895,228,423,041,004,890,728,388,037,719,206,241,273,648,774,
574,972,135,233,414,692,892,372,763,547,376,385,766,498,403,130,515,654,922,
766,597,880,099,421,832,839,882,355,764,559,995,632,712,887,865,986,413,773,
488,381,546,175,615,298,546,354,387,900,015,797,124,264,346,516,622,971,020,
382,753,377,206,353,440,982,723,161,980,350,038,482,160,294,188,602,268,103,
691,072,327,380,340,018,045,423,825,020,120,348,558,858,244,727,608,097,977,
628,883,634,411,121,357,967,100,318,726,900,650,680,897,906,566,121,289,317,
559,232,450,893,362,021,578,228,742,255,307,216,129,054,050,230,375,640,308,
275,468,790,698,706,450,104,417,382,635,044,031,084,444,572,311,616,316,022,
138,561,856,934,097,413,525,612,955,571,460,048,259,486,139,673,352,957,033,
445,778,508,007,066,823,789,911,662,936,727,179,849,437,134,505,092,985,253,
228,624,717,648,824,531,215,330,607,002,955,848,038,941,982,194,785,058,527,
397,098,176,572,219,274,778,050,040,459,630,839,297,309,890,684,877,702,063,
856,933,161,701,452,837,636,170,382,933,323,426,007,256,188,382,239,791,411,
758,447,188,115,852,442,022,585,747,143,876,859,289,903,852,851,716,371,139,
487,904,082,971,453,793,181,943,780,269,186,364,911,671,882,082,605,347,764,
715,186,181,146,361,530,961,328,326,805,735,603,581,170,690,414,562,500,311,
963,465,224,940,580,123,760,449,349,956,482,627,820,928,460,257,520,505,082,
849,480,312,547,391,648,872,734,752,847,683,654,348,963,766,910,792,389,492,
577,201,266,810,428,021,773,766,189,891,541,671,786,676,134,697,164,904,910,
406,294,392,923,101,896,776,823,278,597,917,094,968,723,153,708,569,549,232,
158,659,797,588,125,024,142,133,860,723,246,539,787,322,243,502,057,160,815,
570,342,269,116,087,786,840,598,316,380,667,410,276,434,197,132,224,840,890,
531,058,290,832,660,602,700,420,159,503,028,472,198,593,423,625,079,633,342,
744,782,597,486,056,862,547,814,244,547,154,356,273,433,455,456,865,920,482,
097,179,724,100,655,909,937,605,255,618,634,679,536,101,129,597,645,094,301,
418,968,933,703,656,041,925,588,353,450,322,354,748,328,364,889,390,190,723,
636,496,042,990,373,792,832,870,503,840,362,566,734,839,367,153,002,397,317,
660,380,769,832,665,721,004,141,306,908,426,351,280,241,374,524,828,390,659,
923,087,438,029,068,976,897,536,085,131,525,754,064,572,008,004,255,497,035,
920,796,689,407,328,688,050,572,349,054,933,465,000,010,045,304,733,252,985,
630,550,493,631,746,586,924,713,753,408,004,622,585,328,160,341,371,678,419,
282,257,457,172,644,031,917,281,493,893,772,270,274,488,398,480,813,238,180,
267,144,862,367,962,720,497,407,889,356,371,027,479,995,884,633,262,145,986,
722,309,840,641,868,540,269,941,411,766,306,801,832,199,627,636,914,921,540,
159,776,628,432,286,435,877,178,971,293,023,352,442,375,883,145,001,645,143,
648,920,036,018,458,087,477,258,907,566,234,102,889,259,138,123,033,536,392,
542,465,261,245,535,861,421,940,844,203,113,635,875,194,578,341,775,730,652,
507,953,690,395,799,119,245,096,828,532,077,255,696,861,073,211,304,757,800,
653,316,199,581,724,895,971,561,325,467,517,493,181,663,339,508,604,137,895,
455,361,231,687,620,856,055,985,711,271,727,574,981,931,963,984,429,196,986,
351,278,163,646,524,999,232,218,373,621,937,562,092,959,614,401,574,025,472,
720,041,589,752,225,439,693,184,657,660,987,415,327,418,398,480,046,401,695,
879,604,211,926,984,999,718,277,794,825,425,626,200,573,335,834,884,612,099,
341,235,743,895,861,189,124,688,750,242,170,732,679,962,679,416,887,966,677,
293,625,679,253,109,686,670,790,513,315,260,255,502,647,551,988,355,162,992,
650,779,304,502,348,810,155,759,042,093,165,493,512,883,959,901,906,003,528,
983,387,246,678,047,108,656,545,633,809,917,455,715,084,245,842,407,512,664,
217,178,963,675,607,198,427,051,600,179,545,602,594,063,089,271,046,099,095,
137,530,009,601,288,995,160,100,256,421,151,083,548,050,728,093,121,226,894,
769,833,635,109,001,885,384,688,752,885,956,755,813,949,070,901,676,918,921,
063,522,998,522,355,904,695,699,530,332,776,883,050,064,988,128,546,881,850,
348,726,667,641,100,723,546,607,331,771,128,593,004,363,871,903,085,447,815,
742,436,319,701,539,754,667,725,604,567,243,143,756,054,298,935,840,521,686,
404,546,885,230,745,486,889,038,697,877,392,870,828,350,495,039,388,808,908,
682,863,994,177,274,805,728,924,627,622,597,022,720,823,061,953,817,506,893,
497,056,494,482,443,104,552,875,363,189,752,905,710,784,996,435,597,487,968,
508,296,952,339,538,896,347,541,123,698,202,000,623,507,134,324,240,265,692,
242,814,408,326,858,948,613,121,282,146,972,549,600,810,495,990,261,811,625,
749,049,933,122,667,575,384,172,777,202,530,164,750,972,980,193,169,672,389,
258,498,214,716,568,309,905,382,650,632,718,798,943,782,742,458,122,965,444,
897,774,669,624,917,277,745,246,674,647,618,954,833,934,037,259,383,462,135,
724,587,678,225,460,761,368,274,787,117,106,101,614,016,623,963,218,442,241,
880,804,936,099,531,664,376,905,441,143,141,360,744,619,350,625,919,023,126,
309,160,582,944,977,096,180,702,827,403,712,764,639,848,600,696,978,894,731,
015,492,253,502,369,509,239,314,433,485,969,818,961,795,931,755,793,380,358,
945,514,668,273,043,753,024,633,722,578,664,445,174,713,759,090,114,952,858,
568,277,639,118,747,440,998,896,191,738,232,176,546,999,259,249,079,593,438,
119,864,249,320,987,397,791,749,909,065,983,547,804,065,684,385,927,952,770,
023,724,119,913,315,910,831,297,996,712,131,752,855,911,244,651,038,886,687,
236,471,380,393,610,969,252,553,984,104,718,203,737,227,296,313,383,393,679,
643,730,500,932,168,467,597,158,873,604,373,812,532,445,914,065,470,052,761,
026,494,055,636,253,979,381,897,879,821,896,996,689,190,941,032,818,930,469,
851,036,064,788,524,308,516,068,323,194,892,341,455,891,683,328,692,590,457,
115,664,757,773,634,820,919,337,678,559,158,371,198,589,143,368,524,190,392,
394,866,467,128,272,114,736,653,912,619,615,592,883,962,262,657,890,613,691,
364,269,235,224,445,111,502,032,253,445,629,034,380,046,000,214,038,744,017,
315,467,349,121,530,789,192,219,465,157,769,216,496,523,530,400,099,479,047,
029,660,687,992,849,698,887,513,706,278,306,110,724,572,365,774,919,161,786,
573,608,801,200,837,863,839,203,234,818,292,744,156,321,240,148,736,768,465,
435,867,634,752,612,502,327,353,170,809,998,798,424,673,873,542,904,306,360,
418,104,590,269,142,256,611,063,387,609,634,096,101,084,089,015,758,186,030,
459,972,603,800,680,953,914,111,639,765,150,211,401,887,815,365,151,372,383,
159,425,170,515,800,723,843,249,521,951,124,324,426,505,515,595,216,508,750,
768,972,693,960,782,225,319,927,062,327,158,535,020,340,499,227,589,541,271,
112,731,867,145,843,449,296,236,531,602,291,453,671,111,864,585,909,033,005,
234,980,364,619,563,420,904,407,979,755,038,104,320,826,992,522,175,692,792,
962,220,319,130,028,683,109,411,428,544,903,017,724,329,788,966,938,733,899,
310,080,221,160,542,145,953,318,959,172,690,740,008,654,413,547,428,299,298,
517,944,160,432,796,643,024,435,652,552,166,793,821,560,700,338,280,279,355,
369,310,123,605,290,707,104,974,980,793,372,186,958,484,092,271,291,596,720,
660,669,316,722,818,250,537,041,589,511,185,460,546,122,112,737,112,899,919,
083,977,139,653,226,027,292,625,176,729,120,714,505,887,940,445,868,367,415,
877,220,947,869,198,317,828,690,770,140,583,172,171,517,950,216,951,289,317,
067,932,828,778,565,837,823,030,959,501,089,083,316,572,096,017,150,883,295,
483,873,721,809,224,304,400,613,183,585,870,513,161,536,926,778,177,729,841,
404,753,621,317,744,158,834,181,395,594,727,067,348,960,982,581,858,890,173,
186,634,293,163,281,996,474,086,601,628,364,869,619,870,433,324,581,441,899,
415,881,031,033,160,125,991,108,995,712,720,147,739,270,791,702,015,480,427,
676,657,227,882,247,864,927,953,815,791,753,610,733,518,090,767,834,869,266,
240,678,825,508,011,054,650,746,058,254,249,269,004,607,663,274,290,843,766,
250,803,694,297,788,298,069,907,090,665,369,404,529,976,960,254,355,059,952,
219,182,710,594,213,100,457,983,356,253,252,871,095,930,188,404,536,581,819,
296,882,616,659,728,210,722,974,981,385,435,111,116,156,745,366,426,077,652,
310,508,125,884,026,908,971,206,223,030,406,373,090,095,490,059,864,097,944,
020,204,846,236,246,400,727,577,419,317,616,349,500,631,206,903,450,454,622,
176,168,307,437,271,069,233,801,951,803,141,035,763,513,590,808,529,129,499,
980,698,422,026,985,262,828,950,181,570,276,376,348,372,829,469,694,414,804,
807,141,635,534,922,239,577,907,746,755,358,096,017,123,560,356,215,107,051,
170,404,392,886,642,978,102,255,829,948,342,862,244,481,392,444,187,563,031,
338,941,688,367,461,609,718,454,918,837,057,643,223,420,269,709,706,235,248,
219,937,742,347,168,536,514,893,968,473,080,550,662,233,702,669,175,621,393,
893,837,656,670,810,617,969,864,166,026,972,364,282,861,058,686,334,004,007,
373,440,643,929,528,582,617,769,464,824,013,296,395,742,175,350,857,164,067,
115,604,187,933,476,116,325,268,978,377,378,085,111,469,574,406,167,883,773,
912,343,726,187,321,842,240,466,194,807,800,552,638,726,066,892,456,993,598,
159,840,229,577,787,292,895,477,533,474,839,227,627,466,502,487,732,002,825,
914,012,368,048,495,564,110,803,116,033,090,421,330,239,611,535,806,337,278,
720,143,652,025,365,171,173,769,399,911,628,934,756,293,852,515,059,354,149,
240,795,458,190,682,414,311,470,461,298,959,410,589,967,977,613,126,601,768,
142,615,023,985,119,472,929,161,912,589,375,782,884,933,069,004,314,617,994,
397,026,123,694,037,478,326,851,856,335,260,562,683,553,740,335,725,429,308,
680,841,840,742,326,247,529,830,606,900,542,520,843,717,233,690,598,309,460,
469,569,637,494,207,352,219,011,937,414,175,945,827,201,284,526,878,036,712,
060,235,906,894,514,192,690,993,381,870,689,491,035,420,877,002,641,463,371,
998,436,515,937,394,388,761,980,377,695,121,667,502,420,443,768,835,048,320,
741,175,540,825,086,078,939,163,758,561,580,741,215,162,830,005,955,816,941,
193,634,370,259,829,824,293,801,870,419,694,152,065,783,001,830,867,255,457,
223,467,358,787,794,328,501,182,431,655,229,071,026,200,917,539,302,189,733,
659,780,470,372,759,278,180,477,094,375,065,092,953,007,339,182,587,191,677,
590,061,807,880,181,482,140,896,012,026,349,536,527,892,190,553,199,122,256,
027,679,391,013,798,529,497,426,003,053,915,381,428,328,161,891,585,182,794,
253,303,522,814,186,267,100,005,430,965,035,622,567,733,428,875,357,352,731,
403,273,522,082,285,059,174,780,035,598,527,530,741,172,958,547,159,213,108,
184,149,193,722,832,080,471,206,942,022,509,018,812,997,899,401,277,208,405,
080,105,230,678,410,653,420,587,471,556,186,994,615,522,091,335,015,412,244,
555,773,454,881,566,647,334,243,813,190,489,049,592,620,093,594,749,683,205,
290,270,548,674,005,697,968,155,800,355,035,301,568,508,464,470,912,863,981,
263,425,955,652,457,474,964,955,222,186,073,053,286,117,676,197,169,017,517,
841,890,395,941,626,751,883,130,015,980,731,830,329,790,554,169,446,241,843,
081,068,791,474,515,286,742,726,685,289,523,208,043,200,192,139,967,333,778,
263,330,433,906,228,746,065,943,987,613,483,674,396,971,249,009,843,149,793,
887,611,744,230,982,523,338,749,651,825,580,024,061,124,531,571,873,295,156,
412,836,866,091,074,319,384,959,086,499,127,564,210,253,383,686,694,324,026,
202,391,328,696,657,166,228,043,975,796,919,784,872,136,349,566,823,951,728,
872,033,884,521,443,086,589,087,236,585,425,002,669,841,090,945,272,592,075,
756,660,913,303,613,252,363,527,331,497,074,853,631,864,751,617,904,117,910,
816,403,559,216,680,625,820,094,364,783,903,389,113,913,979,754,541,191,503,
662,133,476,215,662,898,632,273,273,045,456,901,110,591,762,186,502,565,494,
074,472,862,207,824,348,430,214,529,598,940,384,622,946,090,631,402,137,656,
374,965,797,013,436,607,909,927,606,360,107,907,896,157,305,648,585,607,483,
195,093,693,954,690,894,106,917,106,206,963,898,713,103,886,271,895,120,288,
879,577,826,988,830,471,520,127,238,408,596,149,397,687,679,244,340,797,732,
805,634,491,163,945,283,814,279,535,124,114,755,029,249,860,450,226,736,599,
663,848,163,557,306,088,576,739,788,579,372,410,284,763,126,284,121,814,832,
942,957,035,204,875,860,362,824,457,343,859,832,443,570,234,211,264,472,331,
037,701,550,072,687,810,883,265,763,474,303,689,301,363,436,728,575,801,599,
626,674,782,960,367,784,843,180,010,493,242,682,955,691,617,133,096,404,808,
112,746,385,198,364,902,073,108,660,397,669,317,437,090,916,921,092,032,614,
262,699,152,946,276,881,747,626,746,546,210,921,883,710,780,671,487,254,394,
782,603,338,122,092,285,458,365,969,216,110,952,177,366,486,332,457,933,059,
090,695,155,924,133,292,776,189,063,596,635,095,155,147,435,095,980,892,440,
921,157,551,654,364,608,332,677,569,237,066,500,076,221,152,633,277,662,706,
357,362,109,641,125,934,918,986,029,964,772,014,109,854,546,833,723,795,205,
939,939,796,424,459,434,877,952,783,918,706,314,495,189,765,071,407,393,764,
356,172,789,311,960,251,005,774,234,355,217,241,412,821,531,331,249,191,063,
591,142,044,412,352,054,418,760,381,562,753,025,598,512,149,983,920,156,318,
346,880,125,030,044,232,578,778,950,197,368,278,317,170,389,379,912,941,751,
615,442,382,715,927,873,664,073,085,653,468,046,559,922,869,630,054,599,026,
083,785,534,186,030,262,892,812,203,240,055,553,535,441,603,235,710,513,451,
967,707,209,573,398,924,470,946,070,627,657,613,186,629,813,684,161,200,990,
406,615,972,194,751,509,908,076,543,966,560,036,630,671,449,023,976,862,482,
737,347,745,146,453,446,010,929,182,408,422,381,070,569,520,517,191,816,971,
129,589,328,464,815,297,882,611,265,653,470,790,562,430,413,410,594,204,631,
384,203,376,910,921,077,991,272,468,698,277,256,242,662,100,336,054,444,094,
780,229,056,314,008,121,763,950,869,465,352,853,809,545,874,010,413,144,491,
120,217,983,497,601,125,672,349,970,335,909,032,602,410,410,686,232,435,261,
565,337,222,279,586,664,406,651,604,142,785,839,836,510,406,071,323,773,896,
028,788,489,651,837,859,056,757,172,249,790,727,190,253,801,971,101,755,720,
581,645,371,467,841,427,981,848,931,339,802,641,876,897,219,545,358,398,540,
195,568,151,967,977,117,420,940,023,198,448,409,255,171,332,954,647,822,534,
443,974,099,702,248,879,359,481,127,219,681,788,790,521,274,338,772,521,853,
610,315,992,822,923,610,194,675,504,429,052,729,083,177,306,767,450,965,181,
400,814,793,345,957,020,977,489,938,615,675,107,410,949,280,149,856,369,452,
175,454,857,596,289,503,094,740,372,883,558,517,818,290,664,365,536,772,504,
139,307,172,320,277,070,088,491,855,933,150,205,509,296,865,244,639,471,092,
068,183,762,320,302,361,008,862,161,037,041,086,731,369,754,993,006,913,013,
394,413,941,071,273,127,341,721,084,532,945,310,517,314,585,735,055,658,471,
772,450,134,123,230,902,948,962,104,611,938,680,556,166,870,497,525,380,546,
936,611,653,108,513,169,148,244,152,867,597,671,064,469,346,782,942,572,684,
863,533,674,473,961,910,780,169,738,082,545,172,443,761,671,682,599,819,589,
395,707,626,564,457,516,834,706,788,831,535,252,431,461,749,579,703,985,731,
103,429,005,500,435,137,687,913,354,593,967,103,142,769,466,259,655,021,123,
663,104,983,928,991,422,973,430,717,449,220,158,487,844,560,620,237,766,635,
944,054,125,380,300,991,502,551,385,479,980,560,992,692,933,015,133,990,746,
468,365,133,095,391,824,150,011,210,183,764,704,286,041,866,290,062,956,962,
045,500,221,531,613,769,060,848,134,092,031,215,186,288,669,752,356,299,762,
846,462,820,345,214,252,199,903,731,920,619,873,693,483,753,643,961,346,221,
835,492,791,227,629,704,656,022,791,209,229,697,451,690,505,429,609,470,877,
748,195,070,809,586,215,479,460,319,097,862,562,789,361,202,367,532,252,674,
326,395,264,046,317,080,131,568,580,942,409,590,040,080,776,898,337,853,575,
853,943,848,612,202,125,611,471,732,120,213,913,284,799,808,138,659,576,358,
304,015,442,597,732,852,033,088,419,159,910,237,847,332,143,396,772,039,229,
093,415,671,407,752,550,465,672,655,665,499,014,780,441,741,385,120,567,224,
340,915,417,964,457,058,307,984,312,829,582,207,380,674,457,540,851,218,727,
389,470,970,329,694,211,146,614,307,297,755,296,258,846,373,819,434,201,901,
322,955,809,468,621,425,656,989,710,317,520,369,193,677,231,549,410,457,979,
881,778,687,317,837,081,417,219,807,592,891,625,461,496,675,502,119,041,067,
933,426,164,311,959,290,704,949,741,864,252,602,703,355,816,283,223,262,518,
387,727,223,270,184,744,261,842,501,359,594,321,789,282,983,948,815,989,646,
933,450,282,371,262,424,745,129,934,091,974,042,786,505,902,851,858,239,281,
708,842,141,494,606,868,024,217,496,231,870,564,208,184,803,558,954,683,974,
784,887,760,498,921,342,831,595,311,524,978,588,251,622,835,598,054,780,920,
444,442,935,842,305,768,147,609,752,071,993,130,526,793,216,866,240,838,947,
558,138,381,577,648,768,247,377,538,140,165,963,620,547,760,778,060,422,536,
653,849,458,771,808,146,470,048,012,543,151,120,396,489,477,631,097,690,904,
054,421,166,002,363,950,754,759,553,857,861,814,767,807,594,273,853,546,094,
696,424,626,272,594,663,725,780,081,871,945,274,310,655,202,396,878,744,420,
968,686,870,513,195,552,942,099,569,321,087,831,076,302,328,401,589,216,863,
006,689,064,962,670,966,254,912,492,107,261,821,362,961,421,440,691,308,158,
747,123,489,031,421,877,676,482,119,373,977,207,989,683,294,162,066,532,716,
761,247,088,238,043,396,183,905,476,556,072,866,181,377,426,946,990,781,194,
607,712,488,078,016,512,493,933,813,543,286,658,209,237,709,866,656,784,979,
950,245,522,451,286,310,718,118,387,395,914,701,189,215,211,557,783,643,083,
896,253,112,072,438,398,822,875,263,970,999,973,818,507,158,081,116,259,428,
554,215,935,302,729,009,663,508,987,029,341,041,102,550,246,259,008,293,405,
783,120,219,760,871,491,911,365,542,225,420,465,579,171,976,244,985,043,983,
683,053,683,785,136,604,168,541,750,262,119,198,914,860,839,117,007,670,266,
541,630,304,477,246,757,989,694,229,797,474,658,504,218,853,330,397,885,296,
400,314,145,970,625,433,853,483,435,032,441,203,794,628,434,798,679,220,015,
270,861,273,337,362,654,538,906,116,811,738,870,989,200,861,774,906,190,704,
856,893,028,259,647,809,509,040,274,682,664,766,274,692,400,168,577,652,587,
437,646,173,528,404,816,872,099,359,788,380,016,155,412,004,149,909,996,084,
694,713,704,248,169,974,772,751,004,841,700,144,675,922,628,766,437,967,824,
988,746,978,142,539,797,672,850,984,920,347,534,572,841,857,658,710,216,974,
417,807,156,622,385,238,714,784,946,060,693,964,261,492,823,947,821,971,244,
163,697,802,104,790,143,196,764,543,320,202,194,056,551,005,980,539,955,630,
405,241,468,400,029,291,645,854,224,856,357,768,181,304,254,363,349,219,773,
430,235,019,007,083,516,134,106,836,985,019,306,991,815,947,152,290,796,238,
815,280,011,923,143,808,560,058,237,109,923,514,452,087,254,820,440,347,874,
338,470,270,433,209,753,585,297,580,784,451,165,181,785,014,584,581,071,073,
984,601,904,412,648,990,177,154,232,222,955,281,370,916,626,339,221,605,899,
096,388,392,905,924,415,993,376,615,897,608,394,558,966,897,332,823,087,986,
957,321,912,358,313,072,855,891,866,030,608,998,180,044,023,580,795,291,841,
327,278,648,432,610,762,143,936,271,106,079,923,042,177,193,831,401,876,032,
211,456,360,849,243,086,342,521,202,246,570,909,859,820,060,707,048,509,955,
724,074,921,197,276,754,897,101,528,397,971,272,303,440,991,865,210,533,714,
212,001,173,754,235,174,852,287,347,668,267,000,055,619,190,147,142,843,789,
338,318,991,842,058,055,168,120,477,673,813,194,029,322,469,372,885,142,530,
694,340,801,637,162,515,227,249,538,586,268,828,947,344,019,536,924,758,633,
844,452,596,815,769,537,628,410,574,848,298,750,098,025,219,305,452,718,796,
377,077,074,076,918,883,870,272,608,591,363,715,912,768,704,210,869,820,326,
003,212,485,087,392,559,395,333,891,403,439,196,223,296,917,908,780,413,901,
721,323,840,796,015,598,138,576,005,559,194,363,133,670,232,156,296,987,242,
147,978,876,795,013,346,959,288,510,573,331,334,184,946,430,390,276,914,969,
997,473,655,664,522,056,678,908,412,332,442,496,406,710,362,494,867,079,601,
646,203,613,635,952,535,793,432,279,244,484,907,953,250,669,931,121,787,910,
064,746,541,833,236,340,352,815,136,865,626,329,826,666,907,317,865,082,238,
255,235,419,835,654,182,152,108,897,207,641,609,493,042,897,863,293,619,530,
476,306,226,021,490,681,598,307,347,823,276,596,126,468,725,544,637,797,089,
771,338,142,815,888,527,158,863,006,501,712,967,362,783,563,656,119,103,320,
014,838,917,539,188,510,200,418,025,646,103,333,620,115,558,016,692,046,050,
765,387,549,725,226,776,394,544,959,378,716,594,297,499,803,483,313,361,215,
504,716,156,309,513,605,530,526,389,790,714,466,269,520,342,958,614,834,710,
463,122,885,008,403,043,325,728,650,108,110,604,859,383,234,999,723,727,241,
627,968,411,310,963,058,902,167,076,176,915,314,667,273,429,614,721,495,713,
505,380,889,001,252,925,725,142,568,573,241,850,438,014,148,685,310,692,502,
291,938,344,471,081,271,044,034,948,281,159,857,068,718,303,552,697,423,693,
764,612,999,983,612,045,864,684,488,703,396,144,332,559,111,879,669,859,260,
823,857,663,947,819,530,819,896,581,829,872,063,750,775,887,316,832,611,082,
005,963,539,581,131,778,121,405,291,954,920,133,142,666,170,002,192,702,033,
183,160,869,021,735,184,296,194,398,644,708,578,800,382,025,048,027,211,933,
366,681,698,493,572,820,410,796,163,557,326,486,309,301,515,963,379,995,246,
657,696,180,939,623,762,291,203,074,378,874,626,311,763,514,072,092,478,769,
081,765,627,778,297,360,339,209,099,711,091,560,889,601,613,559,361,931,773,
370,323,983,115,188,984,113,713,332,843,947,341,696,003,017,767,038,831,094,
011,092,231,383,448,448,172,884,661,810,148,190,216,918,772,727,110,018,419,
929,586,695,406,873,313,221,372,221,363,139,204,949,816,343,994,881,006,169,
815,618,944,383,847,616,640,271,269,733,482,516,629,205,317,932,118,037,611,
201,082,138,976,461,195,010,667,170,375,457,428,638,099,463,745,492,828,316,
636,000,999,944,028,183,303,618,627,507,694,145,404,117,995,109,030,994,402,
554,883,024,474,291,951,952,783,136,837,276,573,826,379,353,142,292,107,828,
997,840,076,736,072,965,933,369,399,697,941,241,005,810,373,146,265,068,267,
611,173,139,424,121,823,681,802,293,276,209,314,354,477,988,614,326,479,715,
988,926,967,315,971,334,504,183,123,840,517,333,249,819,753,465,330,999,908,
594,405,570,718,590,254,199,876,627,918,375,676,103,730,702,670,459,090,313,
275,811,985,867,837,295,780,817,119,633,488,990,691,935,462,105,134,494,090,
850,227,743,320,805,816,890,719,176,787,594,198,318,902,149,842,761,298,151,
565,707,270,984,417,501,631,202,334,310,754,200,316,670,493,190,556,068,639,
088,471,444,974,745,743,570,621,194,764,855,273,193,243,850,475,338,287,233,
742,043,682,168,348,410,771,920,158,124,556,238,306,037,160,723,676,891,288,
023,355,354,797,967,955,526,917,632,867,770,025,834,623,779,341,812,064,923,
674,673,933,484,296,076,087,097,356,368,232,189,968,460,963,785,148,824,037,
154,105,517,527,078,321,156,728,692,911,551,077,023,760,693,632,690,767,442,
779,182,155,696,030,061,227,178,256,871,907,103,135,259,885,828,263,385,057,
513,480,063,921,617,113,951,854,012,242,984,237,863,492,007,307,122,670,342,
564,769,917,789,120,756,439,487,554,390,524,700,538,866,199,460,944,018,792,
340,173,439,522,563,442,746,323,988,131,261,663,399,918,615,780,297,191,965,
533,890,531,213,517,949,988,726,292,209,100,362,470,309,931,341,731,268,044,
835,426,832,594,019,253,136,924,020,855,418,539,487,177,851,055,489,406,120,
161,868,160,234,061,649,428,109,052,667,012,974,070,053,639,736,840,671,065,
538,516,893,590,883,121,005,189,165,741,305,970,545,267,349,211,841,871,862,
390,591,016,772,190,952,111,491,651,354,817,791,200,098,849,456,647,833,749,
456,985,654,980,011,819,199,048,116,856,240,460,447,654,550,606,005,784,165,
758,506,575,341,262,412,468,010,816,008,480,524,670,473,064,305,298,291,055,
815,825,708,536,883,929,571,911,230,745,931,781,367,395,383,263,455,119,773,
575,050,183,932,874,667,128,207,115,053,572,741,816,350,346,938,829,126,426,
105,402,956,494,435,459,802,580,064,637,402,978,492,075,192,264,807,604,131,
060,490,757,243,579,649,876,133,440,618,029,623,342,446,446,218,092,836,140,
834,294,990,665,464,954,712,148,541,923,107,706,005,524,758,909,019,504,732,
129,853,276,320,093,492,300,851,170,883,259,504,157,695,318,490,452,740,704,
650,563,891,358,003,580,404,373,219,913,758,308,210,083,582,258,133,410,098,
786,450,954,403,569,583,789,151,473,315,331,946,276,276,082,002,873,170,844,
507,606,600,075,739,800,135,156,031,054,921,783,046,881,700,321,652,011,896,
331,118,820,740,041,554,253,991,627,666,596,665,167,797,412,439,109,657,494,
853,247,338,167,235,570,132,218,176,410,694,336,080,477,093,917,731,085,377,
384,645,564,942,853,288,735,459,797,728,237,605,264,281,108,195,063,718,489,
463,108,615,968,298,810,432,221,597,604,264,158,332,902,817,423,764,458,088,
439,216,742,954,642,072,045,609,679,271,905,817,079,278,183,262,466,691,705,
125,625,328,480,274,582,282,581,334,633,727,150,216,901,911,320,733,961,833,
739,493,824,782,403,742,723,277,816,321,685,227,424,303,026,247,398,520,569,
916,844,528,935,200,062,986,092,922,396,660,153,171,808,312,057,932,558,493,
361,462,949,420,330,491,918,121,450,494,508,206,710,066,198,385,702,280,835,
419,337,763,211,278,659,169,499,312,012,016,368,929,961,901,283,565,854,316,
930,381,509,918,010,098,775,787,544,148,879,053,611,331,530,731,689,487,593,
468,173,982,045,815,808,691,218,610,955,028,430,075,975,363,818,988,938,594,
362,443,256,641,971,833,265,561,992,277,008,609,823,724,379,868,979,128,014,
068,419,391,679,488,420,165,433,945,038,508,930,694,813,650,460,411,387,665,
701,616,996,006,100,096,268,602,639,004,893,885,209,161,537,856,703,947,549,
436,107,952,128,187,008,728,944,443,638,941,196,819,704,745,146,740,599,428,
183,449,499,229,343,057,601,588,789,150,018,085,047,137,017,684,929,137,295,
071,097,879,936,521,450,948,279,791,442,548,891,778,006,527,555,162,035,770,
655,073,047,363,233,391,122,744,856,634,832,258,501,678,632,988,134,579,249,
522,821,329,223,643,605,522,390,917,964,574,896,719,773,677,364,024,632,183,
879,472,770,546,420,947,001,346,045,061,137,918,355,409,948,245,671,489,392,
547,856,314,916,725,695,468,418,799,000,699,458,894,821,649,627,289,724,805,
459,746,050,658,935,726,016,509,141,956,449,923,520,829,347,044,085,318,930,
024,770,052,421,105,952,344,769,305,675,890,876,654,802,664,033,559,718,900,
931,534,201,308,198,686,179,770,398,750,209,773,531,036,283,062,226,396,124,
755,758,386,835,808,574,181,871,787,811,778,363,282,856,766,851,017,350,771,
442,300,593,045,870,389,654,791,454,847,390,542,476,747,421,905,070,412,247,
035,010,840,311,424,325,466,182,750,931,870,963,685,579,245,522,602,392,723,
712,762,776,855,676,195,349,428,536,617,042,161,001,823,652,208,246,579,407,
597,092,642,186,880,958,281,632,490,406,929,385,908,360,050,486,261,070,700,
467,745,777,577,246,030,040,281,976,994,104,707,870,810,034,081,472,085,111,
036,789,865,261,431,781,800,056,609,467,993,093,498,932,683,101,472,615,412,
047,125,134,150,819,799,927,490,279,555,481,894,317,518,239,592,736,666,565,
344,751,398,403,907,806,633,892,016,368,330,321,957,641,430,185,675,815,451,
530,444,062,664,153,394,995,895,053,464,149,365,222,597,862,209,550,329,718,
925,434,753,244,467,138,537,288,260,901,596,036,924,065,323,197,007,890,299,
120,624,485,218,755,068,470,693,734,507,177,091,231,454,312,539,556,435,200,
907,096,277,450,369,482,886,636,746,379,905,593,540,066,230,822,540,964,092,
909,566,485,646,670,647,045,485,889,780,534,993,952,161,334,514,890,702,241,
708,912,164,581,987,523,043,215,383,529,551,051,645,768,696,636,232,597,938,
621,389,210,227,027,366,664,614,929,326,674,236,751,657,023,479,210,577,623,
522,300,725,582,733,592,601,911,319,167,392,259,094,232,733,491,744,228,736,
782,995,600,947,155,913,111,960,306,620,985,586,421,028,761,957,262,037,658,
538,884,735,659,916,430,559,761,032,658,600,524,256,148,731,662,060,944,809,
047,492,550,109,679,318,460,032,846,979,558,375,318,765,643,786,639,455,980,
326,794,781,224,808,795,935,056,408,229,626,124,085,106,271,306,200,187,533,
504,494,023,086,199,643,090,688,854,300,841,573,917,530,951,311,454,419,357,
002,609,821,053,848,202,025,695,222,605,316,678,099,781,952,511,668,920,729,
880,454,216,108,570,235,012,329,030,776,101,628,322,520,622,718,068,793,542,
243,752,049,490,386,716,024,617,046,553,618,036,142,508,738,763,318,221,432,
671,551,818,505,007,070,138,061,252,530,235,249,423,535,330,206,289,535,614,
994,121,074,177,906,332,949,539,018,043,772,379,083,035,825,946,890,066,740,
536,131,722,989,890,958,102,141,591,617,023,438,952,551,137,735,183,888,492,
884,303,609,689,131,475,695,278,103,437,706,138,800,583,290,302,231,585,462,
663,621,768,363,625,610,405,174,895,121,273,348,402,999,793,741,712,168,007,
262,984,156,208,717,835,645,843,493,411,780,296,677,157,739,232,358,299,833,
853,993,885,743,709,166,407,774,579,466,406,117,470,942,003,408,706,759,950,
930,804,209,079,879,408,772,513,050,729,213,417,459,396,852,396,056,915,472,
083,328,635,758,809,590,234,784,054,202,176,378,878,400,933,125,178,550,779,
840,429,816,597,197,290,897,344,170,405,748,143,100,651,210,938,756,948,527,
392,318,545,341,408,949,627,250,116,767,341,037,767,130,788,016,629,978,066,
993,912,058,768,017,749,185,770,785,800,266,835,423,350,263,072,944,187,962,
416,785,516,554,704,708,994,570,413,741,840,713,150,851,198,153,100,961,841,
339,109,489,842,769,608,311,033,954,435,693,807,952,593,821,692,000,827,422,
685,738,932,475,052,851,709,872,596,856,968,213,825,605,332,316,466,432,132,
464,557,039,426,013,984,217,627,963,689,161,491,383,873,462,615,942,999,739,
067,663,702,484,936,305,632,398,091,303,045,611,445,774,883,980,590,803,393,
768,876,290,444,678,061,503,555,783,459,895,343,408,524,828,114,871,721,516,
055,378,584,064,438,388,519,713,270,380,087,515,115,149,729,539,419,674,135,
899,194,020,128,380,392,111,266,376,899,698,326,520,453,773,066,379,834,580,
079,301,060,692,836,728,519,705,448,929,506,288,561,033,593,486,641,091,413,
962,494,623,595,472,327,146,763,092,388,836,724,300,094,640,760,174,524,824,
036,332,321,900,408,120,166,132,492,382,691,076,628,708,405,270,659,221,980,
449,260,150,077,273,274,514,831,293,041,024,689,346,084,416,166,815,432,100,
474,331,757,050,270,376,197,871,185,253,831,961,507,922,170,351,987,112,080,
262,109,308,980,711,634,799,894,896,485,901,260,507,798,730,748,187,309,724,
590,916,128,969,381,116,338,833,284,165,453,509,540,628,887,188,758,472,723,
379,426,448,758,221,009,133,447,562,123,325,636,657,909,488,374,155,385,384,
835,174,555,468,762,664,722,669,163,561,782,222,906,992,109,987,362,239,985,
898,244,200,390,890,252,778,836,134,908,912,454,584,698,577,615,009,969,870,
266,049,391,345,371,858,042,963,478,612,566,739,240,765,671,715,253,781,051,
345,969,591,210,567,531,015,322,404,851,646,005,879,110,623,694,058,659,442,
131,240,709,728,262,168,597,356,043,776,531,027,823,081,630,366,634,977,983,
208,154,860,988,665,853,466,993,257,562,129,393,835,744,894,123,025,779,363,
070,607,163,275,478,343,335,179,506,435,229,311,730,783,208,977,210,952,755,
465,855,453,665,646,072,015,191,500,395,689,126,647,163,858,635,009,329,987,
973,358,467,591,591,150,371,972,478,513,496,455,033,501,869,063,437,915,205,
828,544,124,726,041,223,378,610,790,142,291,423,174,908,962,324,862,314,871,
045,805,256,774,097,804,586,946,912,033,847,443,683,353,024,247,258,129,599,
426,652,189,346,656,047,631,496,471,538,971,321,548,489,160,673,424,945,215,
995,962,898,963,990,975,711,061,936,379,957,571,215,884,734,951,738,799,327,
583,079,312,710,022,268,412,406,629,949,255,599,585,061,112,197,916,463,156,
476,574,739,390,014,208,652,177,850,384,497,322,390,578,328,821,262,241,581,
822,001,057,735,343,092,565,501,236,279,977,162,338,064,654,819,522,017,135,
939,042,761,632,277,344,586,846,801,353,941,162,656,924,971,585,575,847,640,
892,564,835,532,780,892,233,058,670,088,558,519,670,028,843,247,249,525,535,
652,840,500,507,936,820,888,967,140,608,503,170,669,252,085,674,760,115,303,
686,328,752,825,582,783,659,161,491,988,996,721,561,910,317,520,224,222,215,
146,702,377,764,194,105,075,887,349,205,253,279,411,500,409,753,100,602,519,
191,510,640,925,570,673,971,894,630,235,612,819,327,623,729,351,883,758,531,
724,622,580,146,621,606,975,187,385,902,865,796,111,570,655,161,862,764,953,
374,843,690,357,712,038,464,773,836,105,695,530,511,185,397,651,855,580,216,
971,418,535,947,308,186,929,459,043,222,446,862,811,986,293,363,994,028,712,
503,708,920,330,866,360,609,297,715,806,581,683,698,469,806,708,619,086,023,
610,105,593,143,374,087,653,540,581,547,078,450,754,276,458,878,014,092,376,
789,817,026,300,104,624,977,917,817,146,141,965,860,976,421,362,044,842,738,
918,694,586,135,416,506,774,977,341,190,012,421,522,346,236,279,906,757,914,
106,296,993,811,223,772,776,265,671,047,269,703,169,534,216,319,060,810,262,
230,039,766,802,234,423,067,853,189,287,454,883,936,795,215,081,109,286,029,
821,813,708,645,357,416,429,346,269,761,804,153,950,422,090,639,952,796,357,
401,893,559,226,444,404,602,748,354,332,973,861,701,251,798,029,246,755,871,
236,675,302,727,622,569,489,827,710,560,880,683,631,654,340,660,562,450,958,
081,974,950,699,778,957,374,747,022,384,558,918,356,744,130,610,097,176,643,
697,099,173,017,538,614,496,397,859,269,962,974,537,433,769,329,718,984,992,
467,562,933,643,912,435,051,640,984,371,505,100,184,581,716,936,267,031,202,
794,867,320,518,632,298,165,382,926,524,063,048,889,994,549,453,931,795,670,
997,970,227,035,517,858,944,905,951,527,555,134,588,339,633,814,323,480,171,
121,926,420,940,463,723,780,150,777,783,827,344,023,957,677,535,578,527,705,
037,511,551,416,150,926,177,770,720,383,377,435,430,520,706,270,749,965,044,
051,180,762,744,528,693,310,716,070,608,542,164,716,398,700,495,112,609,045,
596,915,987,322,448,962,812,226,292,688,536,479,417,691,490,330,472,936,809,
981,407,004,510,134,187,950,677,192,520,601,484,625,421,603,966,201,719,147,
844,630,661,050,970,685,694,761,925,699,118,374,706,229,119,431,469,768,564,
645,197,099,961,817,781,012,532,649,825,513,440,821,156,513,923,158,497,892,
560,596,081,701,831,978,102,028,337,889,512,123,040,925,974,450,773,630,683,
595,288,754,501,404,448,285,158,350,229,190,613,253,878,801,945,578,802,143,
716,067,044,168,940,602,368,026,615,234,714,080,527,495,096,261,398,796,851,
957,024,740,661,537,597,878,525,135,343,617,176,934,546,823,372,822,406,144,
583,764,541,832,459,639,923,123,769,528,796,855,897,705,579,436,931,321,137,
858,297,742,535,962,410,266,043,787,419,858,143,203,946,671,987,742,443,534,
647,056,086,935,609,198,395,306,140,964,073,295,294,749,718,031,974,269,184,
592,875,025,113,706,898,648,953,123,960,430,504,653,485,361,595,048,277,991,
269,231,784,335,206,525,789,751,088,568,205,159,451,311,113,756,843,719,948,
956,143,482,682,604,322,702,432,788,606,623,420,029,339,826,684,442,267,109,
750,539,346,676,500,750,646,486,338,511,257,980,025,677,440,127,867,597,468,
693,718,330,228,906,410,243,083,875,347,083,030,907,258,782,351,624,071,558,
880,903,761,224,287,667,088,684,736,494,973,220,765,856,572,998,508,076,768,
173,394,726,440,478,902,343,388,900,551,144,820,051,071,290,424,025,266,371,
718,150,186,929,288,164,599,931,711,206,451,396,765,920,121,685,390,418,345,
348,717,043,351,625,888,882,306,185,791,953,423,411,131,539,487,248,059,580,
059,517,782,710,657,056,868,138,546,526,072,134,035,660,542,527,075,692,539,
527,369,391,798,933,783,236,129,977,289,356,784,829,305,775,722,820,836,669,
262,425,819,153,681,727,249,711,693,961,337,236,130,260,807,278,684,081,260,
141,594,649,516,849,494,585,608,496,917,820,459,286,913,454,873,686,292,107,
014,508,311,894,936,564,207,670,808,019,919,438,788,096,614,068,230,267,816,
251,838,638,659,840,642,615,322,217,649,348,707,586,055,056,883,079,555,146,
762,651,164,711,836,102,708,525,615,675,140,849,209,934,868,597,036,909,374,
681,091,506,638,443,891,763,133,699,873,742,330,104,772,084,144,912,331,581,
110,409,564,787,116,100,039,198,490,156,403,590,301,228,850,403,120,909,995,
058,463,548,123,386,767,097,219,618,616,586,550,168,968,338,975,885,588,648,
668,027,628,227,703,916,555,069,674,368,373,720,044,235,961,204,965,761,859,
581,413,025,675,305,089,219,718,454,091,758,972,561,284,283,259,371,930,858,
093,737,433,213,343,540,797,565,438,392,574,646,234,694,755,004,057,565,843,
182,347,448,306,391,882,887,991,371,821,048,848,463,370,477,567,395,401,153,
552,607,699,220,905,150,726,488,680,864,928,889,627,470,886,264,725,084,203,
794,878,264,228,290,610,644,044,050,958,756,153,622,998,425,855,417,914,041,
503,657,717,775,071,008,940,615,918,878,728,608,105,197,442,986,687,188,773,
073,419,580,442,892,252,831,789,272,830,883,565,381,377,332,142,160,515,478,
286,514,643,061,445,963,434,377,855,239,627,683,077,996,757,821,115,452,031,
298,383,126,659,037,575,066,600,397,605,655,879,196,318,684,168,913,852,206,
382,526,435,494,471,374,015,192,466,346,726,067,650,349,311,127,867,532,635,
690,460,451,651,527,389,676,345,773,716,892,170,678,963,113,203,596,183,520,
928,471,746,274,993,485,048,615,876,159,680,916,481,206,830,820,139,147,949,
417,026,415,831,471,954,018,550,612,585,284,393,592,289,871,293,815,001,786,
448,773,948,368,596,866,565,153,387,110,699,743,431,447,817,148,364,456,075,
468,226,289,017,767,971,366,265,261,837,816,731,252,848,583,611,239,365,700,
532,737,453,383,342,602,641,402,200,293,418,674,968,111,368,095,561,945,986,
480,440,616,239,682,982,962,471,472,864,619,875,282,320,754,427,009,154,756,
765,604,964,769,744,155,324,887,056,804,088,370,475,820,281,421,851,127,410,
314,120,124,309,338,047,524,022,130,975,253,957,538,778,294,116,139,944,080,
166,254,248,821,832,624,744,976,000,323,372,658,072,795,293,409,031,742,274,
386,364,104,108,255,805,721,113,788,628,929,339,330,736,449,603,627,805,747,
540,584,892,083,743,451,894,103,341,109,558,729,063,048,351,447,043,773,160,
957,158,666,883,947,037,929,959,956,337,535,660,419,674,253,643,691,136,799,
986,416,247,148,071,574,790,424,538,192,140,128,417,736,693,190,385,754,757,
630,306,460,040,957,905,950,679,578,456,526,150,333,826,110,458,563,267,807,
817,791,367,203,586,008,270,623,686,721,114,430,348,105,858,369,494,960,711,
574,509,058,307,909,935,252,745,292,677,061,507,235,443,153,246,414,451,955,
832,166,536,016,407,471,062,100,748,628,416,588,873,020,130,191,182,129,690,
678,285,268,361,169,379,945,663,488,153,852,259,476,277,257,007,328,587,615,
131,679,412,885,347,864,837,846,990,453,727,746,667,930,722,540,320,881,763,
127,870,938,363,474,588,666,201,455,655,853,534,623,612,322,429,665,625,773,
835,944,985,735,633,710,082,176,113,220,905,417,057,297,826,766,212,969,073,
421,291,288,817,625,358,889,531,037,427,493,669,680,129,030,808,934,964,538,
193,597,814,919,589,811,544,893,838,540,368,126,205,716,561,093,049,361,170,
170,941,039,916,963,689,384,275,720,552,992,474,345,385,393,744,391,154,471,
960,829,183,250,111,663,201,016,901,487,930,143,035,791,726,648,955,579,221,
084,845,242,925,106,883,918,347,978,177,929,772,710,196,457,608,667,523,841,
021,909,549,882,181,968,052,050,962,669,334,216,474,846,201,191,607,307,349,
441,743,323,455,150,061,282,190,953,109,231,503,122,284,933,085,986,942,035,
646,690,198,218,343,501,872,749,391,598,393,273,712,115,644,176,098,518,695,
626,612,261,325,257,186,899,690,143,062,254,730,210,784,426,959,154,416,429,
132,062,426,306,642,563,825,537,374,625,826,359,253,960,851,047,436,610,666,
346,153,657,986,424,557,581,858,819,988,443,837,234,121,099,487,207,663,218,
918,677,104,239,338,732,711,084,632,712,171,499,031,432,315,363,872,712,915,
581,864,563,525,206,948,960,731,112,451,233,075,274,153,733,897,995,950,845,
610,906,511,872,759,743,764,460,448,265,561,753,154,447,880,494,384,007,784,
335,908,621,854,982,905,738,961,099,054,091,507,992,897,004,327,598,377,593,
673,898,021,923,143,571,639,237,005,402,569,908,001,571,052,392,357,941,527,
682,805,815,691,645,262,610,252,428,004,141,746,182,376,851,384,621,967,028,
570,400,169,889,264,296,085,750,324,434,645,904,554,945,919,175,178,305,522,
357,666,281,910,925,251,617,792,155,870,474,156,634,949,494,867,478,191,968,
565,494,654,501,213,187,558,228,945,597,825,131,253,865,124,377,603,018,649,
002,071,342,081,690,633,481,369,207,462,376,695,830,407,114,457,548,804,332,
732,494,900,125,852,848,598,769,301,189,553,962,938,299,952,909,977,920,896,
009,774,706,870,448,155,380,886,269,852,798,702,588,106,950,157,458,644,605,
911,509,298,412,802,418,890,535,021,434,259,831,174,011,783,858,838,188,129,
164,639,787,326,687,471,676,023,719,394,273,164,428,478,397,470,385,416,707,
387,030,835,488,700,178,046,624,965,579,211,755,589,548,537,924,555,897,714,
348,114,472,231,344,145,684,242,318,597,757,079,814,652,322,058,546,901,037,
856,315,772,021,436,503,112,568,796,692,278,957,774,005,379,216,454,196,068,
756,563,402,418,061,747,741,635,305,194,554,319,625,700,604,924,537,021,264,
111,017,122,254,029,475,768,537,246,536,552,195,015,412,959,460,599,523,109,
249,743,995,106,417,980,296,354,073,519,281,379,565,123,863,701,098,778,118,
704,656,121,059,552,588,014,883,972,262,397,082,779,092,836,774,604,501,574,
599,328,063,013,940,429,473,941,943,139,059,284,351,448,366,933,294,000,736,
866,850,123,880,162,156,350,879,099,565,564,273,648,667,973,704,832,518,705,
927,117,777,384,079,380,940,500,239,373,522,849,427,194,471,709,850,958,104,
070,125,220,231,130,352,832,759,915,259,743,588,538,083,671,932,203,692,851,
452,917,922,998,236,006,921,529,930,699,048,263,259,344,081,230,241,431,001,
063,999,523,607,734,733,148,029,046,004,759,972,420,501,291,457,740,552,851,
798,019,021,408,294,534,299,514,370,105,313,662,860,940,147,658,303,761,575,
804,416,032,276,245,864,285,210,550,248,074,480,804,039,682,547,277,871,628,
794,486,896,047,986,628,806,742,879,416,596,763,583,615,878,541,675,391,741,
451,759,221,872,421,360,347,303,302,527,353,744,539,224,364,679,520,855,686,
777,107,808,187,287,769,732,201,984,437,310,945,293,347,076,929,622,142,288,
170,156,050,441,752,613,543,623,736,218,869,914,022,874,362,625,165,148,236,
540,840,524,248,069,048,399,782,966,881,265,595,899,266,785,225,214,174,712,
286,730,076,921,682,588,933,317,532,313,122,321,608,994,402,874,393,178,423,
850,118,769,532,684,167,981,652,292,321,958,847,150,429,571,831,586,184,585,
742,594,851,922,831,346,882,978,740,592,026,172,512,456,090,225,654,825,028,
271,970,225,164,526,860,497,599,956,316,350,412,266,349,291,393,791,994,854,
928,117,349,243,945,841,459,538,971,792,432,750,964,015,026,963,887,968,010,
267,311,602,244,311,619,800,329,987,917,344,748,507,472,546,751,940,242,880,
092,543,326,514,553,767,697,979,541,265,768,886,483,362,827,136,087,527,131,
816,221,917,235,076,082,573,865,799,859,760,552,029,082,449,535,221,700,401,
874,768,435,838,308,098,957,324,964,848,662,338,522,099,086,880,317,660,891,
188,879,874,890,996,451,897,574,733,695,395,234,264,671,703,000,050,018,354,
903,367,245,371,308,830,257,526,664,560,775,592,657,395,076,554,012,597,971,
938,761,968,506,703,388,729,144,474,757,247,997,408,010,690,596,294,111,155,
294,971,282,479,617,690,109,851,387,372,555,064,885,180,547,128,897,110,306,
967,133,358,499,248,130,650,749,620,983,773,205,419,948,533,919,232,160,326,
377,445,071,901,347,078,436,379,910,770,146,388,360,399,440,241,871,169,590,
148,680,222,821,861,137,078,620,732,284,410,984,945,633,416,236,212,549,494,
085,803,680,633,218,818,278,864,692,465,043,122,913,740,294,699,833,139,802,
798,260,793,552,919,314,666,525,149,320,551,343,575,167,208,126,110,557,028,
063,210,639,364,169,620,357,599,042,998,754,629,315,580,209,024,619,836,223,
777,277,966,203,027,168,236,344,209,075,879,069,409,494,749,833,471,142,261,
203,477,984,131,954,718,712,965,588,648,901,898,263,542,840,748,539,547,899,
667,013,251,597,921,855,426,710,825,254,709,226,104,764,584,550,605,983,361,
587,280,186,235,947,405,610,259,402,405,057,624,977,281,754,798,221,579,767,
478,478,399,518,584,019,112,078,647,406,323,701,913,574,349,525,099,967,396,
463,436,995,941,736,587,370,395,777,513,694,551,518,847,527,527,169,034,990,
912,036,720,370,124,356,004,291,095,696,289,269,644,885,176,474,866,952,302,
857,468,407,948,623,501,437,271,938,512,401,717,781,800,457,147,563,269,602,
902,659,732,800,704,827,139,552,527,590,477,811,518,699,684,949,485,647,214,
019,944,700,966,698,406,038,684,923,261,224,340,978,324,028,101,397,225,462,
232,590,417,867,249,379,720,319,380,139,217,443,562,756,046,149,222,685,213,
882,128,433,363,542,360,797,017,602,935,167,665,967,380,288,064,861,518,700,
790,981,646,633,269,090,871,120,140,448,500,907,611,698,283,379,682,094,448,
534,106,370,847,608,079,261,014,666,042,610,789,557,720,276,585,649,483,526,
868,817,223,789,275,276,908,304,302,239,357,167,878,290,413,158,202,258,443,
087,760,214,020,996,900,597,146,912,062,603,345,411,221,115,737,684,405,029,
017,116,825,748,745,046,054,624,653,851,404,557,425,637,068,227,598,023,241,
704,464,438,668,400,713,001,126,377,473,634,685,505,393,762,269,511,118,559,
072,281,855,036,998,130,190,201,131,242,673,548,091,010,740,890,632,295,731,
598,096,396,872,437,551,765,164,283,855,286,629,945,942,463,352,787,151,732,
767,899,298,312,877,422,047,749,250,650,205,119,337,414,110,456,162,001,611,
726,425,572,749,345,947,825,408,314,728,448,044,400,473,095,640,662,521,126,
932,144,536,124,727,822,841,501,688,283,086,475,753,580,674,964,859,221,434,
948,739,924,263,882,129,721,511,376,234,728,138,848,197,132,111,386,327,316,
422,807,621,182,354,726,787,813,258,863,007,407,851,105,795,181,721,424,068,
821,931,100,956,614,341,838,142,175,508,539,016,074,717,693,776,029,183,012,
270,372,407,169,630,399,073,970,312,194,349,794,766,556,672,742,172,038,779,
718,512,057,119,107,179,607,999,010,172,276,476,209,529,939,727,365,722,235,
291,395,260,512,890,335,376,085,790,996,518,551,015,538,244,914,439,417,539,
450,728,912,471,180,497,840,378,057,370,074,499,632,798,248,935,453,368,006,
841,450,239,027,048,501,013,711,029,617,360,464,621,846,922,541,088,655,396,
797,273,264,325,170,600,747,302,528,480,873,997,604,193,389,771,691,490,853,
724,903,936,506,113,258,111,877,750,172,408,788,304,627,205,677,401,214,359,
198,260,644,961,828,120,018,963,070,482,772,404,832,604,008,476,671,657,667,
445,101,248,810,130,225,736,922,768,457,130,252,015,556,790,172,191,632,391,
035,775,950,729,506,403,282,777,616,039,045,028,348,188,041,973,376,670,364,
633,339,951,578,601,110,279,800,482,354,401,393,041,804,019,326,908,418,534,
771,817,262,467,759,968,152,346,496,392,256,071,579,648,846,865,670,961,296,
916,099,345,350,597,644,698,625,535,687,079,035,965,345,188,304,434,456,603,
921,216,884,821,722,146,548,643,709,179,503,871,633,953,495,067,348,364,040,
327,611,841,711,033,107,198,570,397,530,796,337,047,562,019,195,296,471,431,
829,018,549,213,041,595,356,584,536,506,863,425,291,756,378,318,175,635,072,
929,128,310,471,916,108,677,301,672,756,392,910,997,866,127,762,336,805,598,
484,205,815,616,581,276,614,901,572,401,670,838,545,484,955,044,683,481,062,
039,763,982,716,270,479,456,852,796,865,894,867,989,561,954,110,757,653,426,
431,563,332,810,090,927,421,891,408,960,472,362,825,776,043,367,658,840,241,
506,102,372,997,070,536,829,170,294,865,145,107,586,086,495,767,665,068,860,
379,724,831,165,243,655,414,177,827,048,560,572,051,427,472,930,397,024,877,
846,862,802,645,193,763,858,118,116,897,057,646,973,934,479,825,281,885,366,
955,257,495,487,326,516,813,559,504,390,547,015,485,081,918,175,656,132,699,
624,795,176,799,792,272,822,703,439,422,697,989,897,548,585,120,688,823,127,
089,560,482,721,656,715,718,923,100,713,615,598,737,838,840,668,726,311,636,
475,931,806,947,261,981,061,809,541,727,725,919,022,620,209,907,517,358,453,
582,895,992,222,687,005,367,503,574,160,037,590,849,621,295,574,900,235,815,
921,507,742,217,223,378,011,483,376,853,831,276,266,492,866,744,932,316,133,
402,561,010,324,937,271,914,787,909,073,090,893,427,583,303,819,005,063,998,
267,416,863,815,087,615,148,150,083,572,268,581,580,197,544,330,635,078,260,
803,204,602,081,668,242,878,192,506,314,302,106,560,506,354,826,065,510,579,
685,053,513,797,361,104,704,877,731,601,657,793,779,675,146,584,248,298,361,
325,343,447,261,131,055,801,417,858,344,026,073,004,229,619,826,443,232,461,
687,001,452,701,423,501,382,941,987,895,504,213,895,670,784,416,786,438,925,
015,241,205,772,111,648,242,741,013,014,192,186,955,704,749,994,739,159,213,
560,403,116,262,804,756,391,875,095,743,735,905,325,703,543,950,300,822,513,
831,122,667,902,388,040,438,125,701,014,076,788,052,248,145,468,891,276,389,
428,590,364,521,334,229,999,686,889,386,489,315,337,571,883,136,379,908,503,
025,915,708,869,165,747,616,604,850,320,333,633,118,605,168,580,724,972,861,
109,761,166,447,334,274,121,059,045,203,118,533,056,252,600,372,546,645,062,
791,973,851,497,749,777,882,213,541,250,110,556,202,294,495,838,955,838,054,
220,845,482,963,819,308,691,093,222,293,118,300,008,328,695,350,262,854,692,
429,742,231,983,133,467,384,191,627,815,060,359,266,973,092,800,541,410,235,
735,231,174,675,581,761,029,580,857,442,556,587,141,228,943,196,305,957,165,
947,070,844,351,397,679,911,832,330,572,175,111,795,778,698,713,969,732,318,
350,140,774,711,639,464,875,464,171,202,023,649,787,782,048,299,489,237,020,
164,868,147,411,569,584,908,763,274,656,628,296,550,159,213,642,018,281,429,
333,953,764,863,978,073,672,931,104,189,471,958,610,977,958,659,481,229,164,
907,487,814,673,549,116,035,270,007,851,495,931,781,465,316,683,575,636,878,
227,121,897,057,549,620,508,645,426,849,126,039,123,560,431,117,785,542,259,
133,557,547,675,841,566,909,940,525,556,538,616,112,956,405,448,971,337,902,
429,580,829,221,588,114,475,143,142,510,076,416,711,679,807,219,584,899,913,
418,971,192,526,919,531,596,407,098,006,862,183,085,127,184,585,827,927,596,
173,974,310,327,088,988,934,820,387,072,215,627,459,284,676,866,067,586,803,
506,126,718,894,795,934,899,093,963,875,239,864,488,231,545,236,663,875,919,
193,740,900,333,599,840,539,476,629,194,686,719,313,651,844,498,375,867,892,
805,569,586,326,694,197,682,829,466,731,081,865,322,452,542,665,648,529,047,
322,384,282,928,023,140,728,358,526,356,736,516,975,111,056,221,243,221,414,
709,198,800,435,092,107,288,742,955,480,373,392,420,792,263,299,747,076,717,
276,329,514,058,932,816,823,193,629,654,512,783,448,200,980,368,348,351,175,
154,598,355,389,342,198,314,374,711,619,346,936,415,537,423,346,207,336,994,
520,790,933,299,486,298,980,322,166,137,718,027,086,289,902,762,548,775,946,
762,391,971,948,324,821,468,810,204,122,312,993,390,348,453,691,440,732,222,
105,282,218,829,191,512,654,282,715,116,447,060,396,160,424,160,070,912,506,
160,700,476,534,435,458,717,664,304,845,613,032,087,153,634,029,880,506,458,
019,966,398,052,216,994,430,001,996,187,332,503,670,221,074,975,936,372,015,
235,480,373,581,648,690,795,259,528,470,370,277,123,603,836,475,665,351,476,
359,409,739,444,755,233,445,198,854,580,690,710,562,914,216,096,527,550,738,
485,849,660,787,799,515,331,258,999,275,811,869,519,596,397,239,793,443,433,
972,431,000,287,873,294,265,633,706,728,021,321,326,657,278,516,030,261,493,
176,917,860,633,230,053,786,790,140,009,563,456,793,731,858,086,711,101,376,
784,053,227,054,913,192,114,094,597,073,647,623,630,303,750,556,136,719,961,
007,728,159,427,234,088,680,130,667,544,936,556,227,513,427,965,248,170,090,
088,739,982,602,391,287,839,550,409,414,664,676,653,177,004,971,089,052,781,
727,923,202,239,589,858,004,475,944,086,092,577,615,985,548,241,357,402,897,
839,025,293,963,102,499,543,163,919,665,664,938,939,818,204,960,603,885,361,
298,243,547,791,826,613,612,910,041,758,875,325,001,650,957,877,002,832,821,
620,041,027,216,945,314,339,381,017,669,799,036,718,046,773,363,347,757,365,
983,218,699,660,426,024,927,904,338,306,256,520,088,219,128,953,575,001,028,
246,362,384,840,239,476,887,536,911,724,483,866,158,389,392,926,217,913,771,
449,415,513,449,079,777,658,595,020,916,097,968,492,656,866,654,497,850,654,
842,001,911,504,989,561,837,260,148,577,979,743,001,697,300,189,943,981,870,
699,568,105,001,727,159,326,060,113,631,165,470,875,544,164,751,152,297,482,
803,904,733,792,024,181,231,474,338,853,737,977,388,984,218,569,012,187,192,
287,141,425,769,162,772,646,705,169,134,059,068,864,509,493,570,651,168,308,
112,746,446,523,308,906,545,947,899,153,807,235,824,806,400,719,914,299,466,
010,729,522,690,108,888,364,577,353,188,381,035,898,264,994,949,864,057,171,
272,195,718,855,487,457,954,360,483,323,331,823,084,335,149,491,115,854,081,
885,015,536,111,866,409,686,915,044,495,296,817,445,799,531,144,281,706,439,
700,962,292,509,265,872,915,176,969,713,503,814,785,930,264,019,909,516,953,
210,621,531,550,746,209,899,149,544,122,681,253,845,433,241,779,172,983,805,
778,464,678,063,981,345,040,748,216,416,301,345,561,117,104,719,011,670,052,
984,323,913,892,570,674,495,893,943,896,011,818,267,527,674,064,686,956,073,
228,826,539,532,283,477,229,844,067,302,872,742,486,445,153,379,246,530,216,
065,591,057,890,426,592,767,285,329,908,604,021,338,498,631,907,344,659,213,
537,482,929,805,934,926,145,517,399,503,872,141,456,403,751,796,377,539,769,
253,415,452,383,337,735,140,488,562,109,207,881,954,926,018,470,477,237,359,
049,034,918,667,151,699,609,316,522,733,160,550,960,736,553,745,928,662,123,
998,357,457,930,486,410,284,182,130,685,722,286,648,086,359,995,582,958,576,
637,041,544,645,343,803,965,124,955,465,530,539,568,899,691,755,680,366,695,
790,340,842,711,710,528,859,921,909,613,372,165,948,248,096,231,890,392,543,
997,910,707,951,095,858,440,312,351,146,031,830,713,576,605,522,257,415,333,
385,785,039,068,404,996,746,301,569,177,605,964,906,513,089,842,400,755,227,
093,692,611,380,820,313,194,672,561,054,895,041,403,079,883,003,279,094,994,
572,426,143,159,411,293,892,842,914,571,959,091,386,726,366,209,053,040,434,
383,507,207,056,478,075,823,832,075,010,096,450,336,267,122,732,180,526,163,
173,997,918,565,812,070,752,702,407,341,733,959,374,796,915,886,128,031,255,
106,614,257,453,826,572,721,398,169,969,992,909,489,954,635,006,735,250,640,
565,229,564,418,221,495,999,477,019,083,632,852,091,266,747,290,723,341,862,
170,858,540,778,856,722,749,224,746,228,963,230,993,627,863,632,074,963,406,
612,372,917,307,236,407,207,237,255,871,258,357,042,405,390,968,760,096,276,
811,150,846,639,022,572,264,539,820,977,994,488,329,725,629,162,553,292,824,
075,227,282,914,260,173,392,223,286,868,381,237,695,794,412,139,700,703,400,
465,857,244,578,460,151,134,307,245,836,262,983,121,679,509,708,264,988,438,
626,460,550,108,970,846,723,397,590,662,948,035,400,274,858,122,443,094,180,
871,126,298,033,952,171,930,714,400,108,703,630,292,512,516,189,040,052,518,
451,468,386,182,889,262,725,908,803,179,232,665,623,787,134,958,120,497,677,
701,949,576,237,284,814,640,594,180,980,931,131,981,177,122,385,693,698,439,
845,512,267,107,042,187,629,236,559,901,567,791,436,443,778,990,716,067,472,
248,282,510,019,375,256,898,041,956,150,237,954,472,482,255,891,258,870,871,
442,447,146,320,324,140,443,393,326,827,191,638,122,439,418,101,230,983,147,
148,160,389,671,628,935,918,569,125,508,217,197,535,847,912,131,511,222,907,
580,210,331,902,657,133,707,073,958,728,369,814,531,485,458,320,683,885,205,
832,083,115,984,349,705,557,211,258,367,408,454,633,180,717,393,431,235,271,
245,823,297,531,474,162,895,304,490,098,170,025,896,906,061,350,809,283,895,
809,012,729,766,692,376,584,735,372,886,198,465,920,714,770,125,176,394,376,
871,790,313,498,546,780,713,491,344,691,714,789,683,071,278,038,773,593,262,
131,278,562,882,808,399,877,229,633,788,466,099,865,427,169,334,147,037,552,
252,071,270,787,653,162,085,368,686,453,273,481,451,143,295,300,033,023,699,
672,628,134,298,161,613,169,975,981,565,442,033,167,735,491,809,962,568,618,
761,332,044,900,193,265,016,051,412,444,271,325,620,357,715,343,437,525,536,
463,205,473,774,621,562,405,098,420,028,611,055,094,603,586,875,470,919,227,
371,001,479,457,277,998,596,246,652,128,616,960,505,136,852,732,950,494,763,
399,301,356,664,826,544,157,498,245,115,417,706,598,426,988,764,888,304,807,
098,970,837,374,453,223,802,909,131,142,093,188,275,294,980,742,865,008,346,
005,528,326,317,414,107,209,198,167,703,681,204,042,802,452,870,298,192,198,
739,895,573,614,513,469,618,016,562,019,149,223,040,795,908,501,556,878,333,
271,183,266,016,031,473,483,569,285,278,524,563,401,350,848,687,219,058,449,
356,687,444,383,704,027,123,091,497,783,200,494,168,202,239,071,030,644,438,
285,720,827,600,232,096,437,551,228,458,003,544,498,175,054,982,173,158,162,
228,415,296,667,456,912,622,197,731,821,595,526,592,131,515,131,263,362,162,
355,684,082,229,977,900,490,637,672,505,712,971,161,932,538,987,675,638,636,
273,539,663,211,275,779,457,355,429,847,942,962,551,686,029,157,892,590,277,
776,133,897,435,800,974,413,434,926,935,466,486,952,664,249,729,248,893,561,
480,529,533,304,736,736,292,569,712,594,875,389,032,633,782,378,276,705,999,
020,874,335,878,957,491,174,891,865,394,227,556,940,210,071,566,383,895,023,
026,511,742,817,955,190,513,239,941,488,302,610,314,921,496,525,441,144,959,
859,710,142,865,598,028,157,282,841,306,347,315,028,763,915,573,039,981,921,
967,522,996,880,194,262,293,471,648,179,077,367,348,170,646,641,492,553,163,
874,121,850,912,783,810,116,492,112,140,843,516,450,540,774,313,804,099,168,
854,718,517,425,151,005,715,849,131,935,706,249,375,567,528,219,435,066,747,
380,474,977,676,944,878,535,874,303,496,972,869,855,708,677,302,199,633,856,
232,564,025,579,959,518,416,037,065,254,254,820,498,284,627,476,598,322,842,
993,736,236,804,915,568,999,524,959,163,325,407,861,443,391,997,966,073,012,
147,213,347,455,087,753,128,283,944,557,641,016,376,663,876,435,231,806,736,
085,988,193,087,390,143,991,901,440,927,291,355,712,484,713,094,391,721,977,
511,492,683,148,547,940,390,961,985,448,232,510,964,425,854,206,364,542,715,
356,106,276,469,603,451,713,891,258,371,345,145,471,361,122,834,867,323,371,
355,879,002,542,437,972,605,439,219,827,463,202,697,908,145,875,605,513,508,
517,198,240,013,579,177,766,011,538,464,620,547,454,197,731,133,532,215,852,
238,163,659,026,988,307,253,384,033,194,119,023,139,779,263,217,172,449,554,
149,844,244,069,285,490,788,295,139,786,911,184,971,877,320,879,362,010,129,
979,370,178,161,727,889,071,553,782,051,133,207,081,600,561,550,413,089,924,
077,747,959,649,405,098,095,348,523,093,200,471,732,946,296,596,666,666,439,
830,417,817,094,932,057,491,496,564,679,035,055,554,326,871,080,949,275,512,
801,324,773,250,832,373,063,953,534,164,355,953,849,019,020,131,897,258,253,
908,227,397,150,619,188,507,456,556,261,853,213,495,645,429,653,478,730,602,
560,748,741,500,701,767,274,128,945,575,907,585,382,743,898,196,121,642,599,
346,616,910,325,099,714,511,546,098,697,206,665,351,280,875,903,335,179,805,
447,624,848,308,436,989,917,673,620,739,001,190,871,681,272,002,729,089,768,
328,554,326,751,576,284,561,637,430,664,760,424,695,433,344,532,227,479,438,
761,156,116,501,807,411,056,841,982,978,808,646,866,801,933,576,736,677,372,
389,181,019,188,743,107,085,135,774,206,500,794,815,525,521,211,711,400,631,
451,392,941,913,661,799,500,646,810,603,679,464,883,869,709,900,427,798,605,
545,754,229,626,234,910,250,748,247,150,154,455,168,297,810,559,226,781,044,
545,800,216,907,132,423,471,859,060,749,743,268,104,993,562,210,654,967,431,
541,119,488,234,163,008,924,105,008,589,143,321,506,418,717,508,350,585,350,
355,765,950,275,421,088,494,273,397,914,147,099,101,373,424,079,801,528,713,
294,716,280,637,672,291,884,123,316,184,093,812,776,177,424,808,192,676,481,
050,409,975,880,767,627,701,723,139,819,234,549,963,678,672,689,281,945,642,
717,558,334,940,510,718,107,266,888,994,969,248,247,043,566,072,120,779,395,
742,437,743,774,623,656,130,751,915,441,036,378,750,174,309,251,807,860,969,
360,620,794,916,143,211,691,789,076,067,730,954,801,647,287,260,344,054,766,
792,862,940,346,087,416,005,117,837,223,835,117,607,210,033,715,520,549,785,
587,908,669,128,767,290,717,407,052,948,274,186,549,509,298,943,388,496,584,
670,437,525,371,649,739,456,082,240,848,889,594,145,714,654,781,810,205,226,
471,872,207,253,266,619,996,771,915,094,828,221,488,929,517,809,566,938,619,
085,613,516,896,180,712,627,276,666,580,957,241,075,310,369,425,986,288,329,
051,411,166,691,619,478,154,891,706,801,206,412,059,361,107,760,916,548,722,
409,608,195,160,138,311,203,557,443,498,390,229,647,367,733,179,291,099,289,
277,237,589,389,993,314,364,716,475,114,661,032,727,086,382,275,977,243,417,
385,813,998,717,841,714,002,361,154,347,908,734,455,914,343,614,627,548,913,
270,327,237,603,301,693,763,231,054,105,006,938,190,679,309,146,957,234,302,
206,793,005,642,713,395,104,154,725,562,975,495,637,465,285,917,010,803,181,
118,795,997,663,810,938,358,889,474,152,335,603,248,244,452,817,030,749,850,
323,847,898,373,448,718,283,675,180,896,105,522,848,171,472,928,797,403,879,
864,449,083,115,379,379,649,691,004,623,912,559,836,219,267,718,517,290,843,
810,607,136,494,687,439,915,272,868,329,864,784,554,572,512,619,636,893,243,
604,547,475,256,924,147,461,038,413,259,898,357,970,548,979,069,849,383,212,
078,814,502,435,012,994,547,423,609,038,265,823,066,090,998,338,967,622,453,
784,701,319,943,805,306,579,016,038,921,600,972,706,515,983,466,394,188,165,
822,379,805,443,618,977,894,577,258,524,574,741,699,266,419,669,312,232,293,
794,162,544,433,636,431,639,479,116,742,055,779,945,131,265,881,575,954,030,
938,420,490,126,311,208,477,016,348,876,898,044,357,968,059,370,497,067,896,
946,718,986,552,693,030,300,569,145,864,051,796,132,302,083,408,280,753,233,
769,661,051,726,198,829,858,782,645,045,153,257,877,771,439,268,311,272,288,
559,448,270,649,648,022,332,008,301,313,381,461,796,561,295,596,791,930,865,
460,994,201,816,587,830,147,688,597,713,972,427,722,126,637,333,437,411,460,
483,804,279,462,246,130,357,085,959,697,393,043,711,495,491,732,858,258,203,
430,229,021,296,949,662,766,616,772,968,991,879,216,748,739,713,324,321,635,
646,849,247,671,780,411,638,190,120,531,170,810,388,727,144,766,856,745,911,
652,322,700,109,609,989,398,414,459,452,801,533,619,159,592,541,340,826,343,
663,530,484,881,431,998,884,300,202,409,941,936,122,839,585,704,444,891,969,
491,406,496,867,474,024,994,657,028,967,734,720,743,563,271,448,603,646,693,
119,220,162,035,692,358,566,561,821,276,523,432,530,696,352,435,075,443,650,
190,935,291,530,634,023,903,221,989,505,635,741,427,754,003,165,356,681,151,
728,122,839,848,508,112,993,762,461,735,948,505,713,788,040,901,730,463,405,
977,881,564,625,167,329,556,111,332,741,294,806,500,661,845,610,638,243,586,
067,728,539,070,263,834,853,479,683,638,524,846,604,921,950,835,242,391,175,
962,472,974,219,937,787,561,241,908,285,466,147,802,775,641,486,389,824,489,
412,449,894,188,600,318,583,442,688,285,132,268,814,430,842,033,807,094,509,
116,012,453,633,818,181,636,999,824,161,607,525,576,687,981,702,832,033,255,
218,182,951,864,854,759,187,284,548,702,234,100,150,463,952,012,394,074,140,
103,925,698,995,292,393,355,228,839,758,575,384,339,317,782,944,773,578,557,
483,834,193,107,500,209,001,855,293,177,253,559,803,945,188,280,022,913,385,
172,848,432,836,717,339,524,026,122,885,253,412,550,448,862,310,110,003,367,
320,886,399,655,740,375,197,339,522,563,903,925,000,869,267,696,924,335,767,
553,716,684,831,030,738,106,740,115,412,594,141,508,675,242,918,594,313,329,
986,862,576,131,390,099,799,426,175,767,503,531,906,839,089,566,538,157,775,
225,795,301,295,071,566,169,656,904,051,039,556,626,154,808,402,026,442,916,
295,218,847,672,061,419,886,647,014,288,296,466,874,306,541,422,761,538,812,
293,625,200,415,475,070,919,194,162,012,509,670,241,243,463,713,270,269,611,
125,702,241,208,316,829,782,882,082,182,896,632,000,997,423,916,726,518,613,
235,263,947,167,451,027,469,768,023,874,479,438,976,511,483,075,932,061,154,
266,034,780,909,301,652,994,422,293,872,110,961,428,582,325,203,652,347,635,
477,495,484,105,351,139,957,142,662,123,282,556,178,483,229,791,629,412,376,
796,962,337,712,539,984,625,217,706,605,438,238,830,586,375,111,904,620,082,
115,958,348,067,157,825,729,439,732,769,971,366,505,110,907,711,283,606,222,
253,976,401,324,507,651,725,895,421,645,820,806,234,461,901,102,167,550,540,
251,851,314,561,458,359,156,351,960,758,646,861,893,635,392,126,317,972,414,
036,890,313,023,092,920,910,578,447,204,570,697,460,520,962,218,911,007,995,
368,754,237,951,601,842,947,726,650,460,386,995,487,427,209,656,455,444,228,
922,618,884,944,449,039,531,695,248,662,320,268,217,444,120,930,423,558,446,
184,143,676,367,011,052,223,999,246,440,782,741,761,787,826,604,042,003,224,
789,272,576,077,366,894,626,084,828,939,758,243,124,225,517,351,900,924,682,
529,809,507,990,547,739,134,214,523,971,654,267,043,620,094,945,478,553,142,
339,629,542,615,496,595,684,761,440,559,165,944,503,413,957,058,859,072,605,
772,427,981,543,745,591,578,871,289,146,959,891,865,695,400,550,954,385,319,
368,369,725,174,663,132,103,184,369,000,625,570,606,988,045,106,016,971,204,
727,687,447,618,978,882,281,390,393,831,910,066,320,531,942,503,959,965,882,
370,905,010,642,137,351,634,857,541,200,264,604,849,222,306,206,562,814,349,
626,226,429,215,180,318,993,616,002,624,766,828,566,527,062,714,664,221,768,
849,389,547,504,507,478,699,600,103,871,304,213,358,966,666,424,286,104,760,
503,724,754,355,971,841,639,798,551,811,743,931,715,526,103,948,012,648,881,
477,812,527,144,926,212,553,688,171,476,754,536,399,427,788,217,892,174,806,
919,433,097,348,206,922,162,752,609,386,218,546,079,994,681,932,211,330,880,
421,130,818,687,082,310,425,914,304,072,071,689,809,906,673,123,309,126,727,
533,077,332,861,959,100,072,932,538,120,989,930,943,737,994,998,664,810,683,
232,812,913,309,965,564,726,423,576,709,023,035,992,169,565,174,033,577,834,
457,011,642,307,229,212,259,510,456,393,336,060,306,773,373,289,671,488,792,
350,591,764,736,160,298,218,077,599,996,956,951,870,517,053,594,833,205,576,
316,740,304,411,921,546,135,720,603,589,653,563,981,270,150,005,114,414,198,
811,137,165,296,381,488,673,950,007,259,934,534,354,031,803,430,741,765,438,
203,380,112,806,810,406,149,091,886,913,640,660,870,391,210,912,566,344,373,
315,403,005,700,705,732,266,136,541,605,801,357,266,215,088,975,775,950,322,
308,853,607,800,837,993,926,801,575,412,983,957,921,477,452,360,571,220,422,
379,332,837,212,734,599,819,116,812,490,850,955,169,688,916,379,511,434,680,
049,160,382,314,522,217,963,659,975,519,145,094,208,770,172,021,009,018,432,
481,497,230,200,019,254,234,283,680,707,973,977,926,714,903,387,351,801,816,
753,818,273,013,223,895,085,608,481,270,083,798,337,709,634,341,240,563,694,
283,344,764,596,682,879,644,114,042,150,998,235,846,184,693,255,926,014,049,
371,440,619,908,941,674,695,162,984,416,095,403,348,307,990,597,158,264,896,
086,836,538,611,746,253,922,361,253,436,567,397,543,045,373,050,519,883,384,
259,390,183,418,461,660,419,087,145,301,856,436,389,060,435,830,241,434,514,
164,508,170,840,051,178,135,674,374,263,311,335,795,989,682,370,670,423,942,
611,825,612,929,582,066,291,824,571,751,303,614,842,191,452,977,587,801,983,
625,610,990,439,053,685,938,938,230,115,987,931,041,303,377,293,699,929,776,
413,332,961,146,904,898,715,833,634,132,938,613,760,927,223,376,776,964,517,
847,409,343,335,896,256,068,440,718,769,054,525,588,989,368,219,494,863,538,
845,257,407,097,137,537,970,967,527,192,173,646,363,117,035,575,794,496,586,
343,630,498,921,832,390,714,180,185,632,034,784,135,373,582,261,051,776,291,
555,705,195,090,684,462,411,332,653,082,288,954,684,343,226,481,860,545,272,
464,526,156,178,660,832,628,428,475,198,467,795,195,324,984,357,693,304,431,
348,961,881,069,548,424,254,792,459,964,773,795,338,909,190,018,080,149,946,
525,253,065,420,553,169,895,354,433,811,966,728,689,750,887,890,759,129,808,
012,622,758,702,658,595,387,017,466,869,677,107,365,862,738,202,116,018,394,
673,779,404,359,897,608,571,300,175,657,337,951,298,059,614,712,226,998,667,
863,930,318,583,527,957,493,690,996,360,099,286,996,441,576,271,654,838,739,
739,275,260,435,727,048,592,276,415,296,202,026,296,290,981,959,847,648,323,
612,535,417,611,053,692,288,176,988,729,963,911,500,596,345,795,545,966,815,
777,717,541,327,709,083,260,232,248,662,846,670,145,630,122,010,220,378,736,
541,823,571,822,378,255,073,725,886,279,290,037,121,658,821,190,282,563,337,
098,017,715,540,526,896,918,852,184,970,338,394,747,647,851,736,741,835,053,
707,244,970,957,415,538,843,965,270,048,653,648,934,376,085,683,088,718,040,
101,053,029,828,524,059,574,855,697,586,408,110,773,307,464,863,548,700,376,
629,202,311,142,197,642,495,517,409,109,526,292,697,196,552,570,063,286,662,
422,972,760,280,677,135,287,581,416,010,506,686,406,355,376,978,726,548,737,
057,843,297,122,717,911,425,296,006,498,871,992,807,840,098,939,011,743,130,
540,503,116,744,451,459,484,658,064,410,195,093,970,475,936,408,353,906,509,
295,883,270,952,268,654,792,351,516,610,318,969,290,031,051,145,759,702,669,
761,825,186,799,731,071,438,873,806,142,406,371,864,533,720,864,073,813,006,
207,198,526,263,663,632,426,559,826,773,350,216,346,805,034,063,505,449,515,
536,348,798,654,826,188,646,934,903,113,080,219,373,745,586,745,610,507,518,
687,154,841,508,549,394,554,591,120,832,797,939,738,507,676,633,971,019,298,
251,115,208,691,041,943,500,204,203,438,328,465,338,692,086,192,465,787,419,
561,117,279,213,459,216,642,120,127,722,131,375,313,641,079,672,630,159,873,
486,160,139,865,276,310,544,032,069,809,483,256,771,488,483,059,930,695,769,
508,848,382,873,861,955,017,918,762,102,668,924,438,064,676,867,006,344,541,
726,796,859,615,508,850,011,371,238,989,533,559,141,053,198,480,607,203,993,
304,011,034,007,228,536,158,670,112,063,643,869,448,294,813,720,059,466,538,
597,324,200,879,947,414,191,860,846,836,241,871,723,695,489,629,854,086,199,
673,841,789,236,951,693,829,358,942,026,713,962,289,079,939,331,101,260,169,
339,515,325,345,637,831,754,033,779,317,550,041,178,766,904,772,360,948,259,
936,157,316,293,182,881,368,651,504,152,045,145,788,771,888,754,213,631,236,
017,575,668,718,474,321,789,900,556,176,865,103,294,927,439,901,919,783,924,
658,686,931,158,558,448,209,601,928,082,280,628,521,854,046,393,419,955,011,
198,041,760,504,064,387,097,992,116,367,251,665,597,385,893,840,451,633,261,
315,598,263,801,861,244,502,028,670,475,806,034,850,800,782,324,427,003,091,
568,569,527,574,279,902,083,043,502,234,204,697,517,035,432,510,848,387,821,
056,745,693,219,447,989,168,004,846,223,379,173,882,015,916,580,880,605,659,
329,332,696,065,806,164,630,039,716,442,766,950,766,925,169,805,205,511,934,
583,646,054,565,609,637,467,974,743,214,543,443,254,087,693,645,226,446,359,
700,864,718,372,175,925,004,703,912,798,976,237,851,684,988,413,054,075,705,
039,826,792,811,743,213,427,254,549,114,376,133,996,648,802,007,188,207,570,
133,549,661,821,475,271,368,491,072,139,670,753,659,618,096,680,879,674,096,
118,493,171,545,159,287,025,709,332,517,552,291,560,114,454,034,881,237,171,
526,687,436,641,697,524,782,112,064,298,824,202,821,910,670,450,267,658,895,
725,341,714,392,811,247,545,381,910,846,330,280,264,312,135,018,774,807,069,
021,765,032,688,078,186,412,598,461,169,840,120,009,219,685,022,436,323,269,
518,846,818,505,550,296,398,463,813,492,511,932,675,367,779,961,575,571,525,
867,174,025,884,286,219,554,187,002,118,120,500,106,938,927,690,505,008,411,
259,370,501,110,907,103,884,706,937,931,473,452,325,997,948,062,108,029,728,
644,303,826,562,033,374,094,461,356,869,197,301,304,179,055,710,746,200,486,
765,563,409,356,849,576,829,397,638,114,353,313,761,875,443,706,343,134,333,
972,201,004,239,390,058,799,853,575,737,079,718,313,586,284,474,169,999,690,
542,134,196,896,397,962,696,472,312,707,481,737,635,114,263,160,995,056,108,
775,244,464,979,702,435,511,527,278,641,255,686,955,105,253,717,834,124,391,
651,127,423,175,892,839,782,158,465,885,607,640,986,217,429,081,603,354,744,
810,415,840,689,261,688,801,986,389,985,669,170,577,854,092,516,789,952,692,
150,067,959,197,177,203,687,738,829,674,976,980,320,036,548,303,865,820,777,
307,947,237,668,455,118,948,456,782,865,590,540,035,939,423,955,302,260,484,
871,286,062,654,068,975,422,122,203,896,582,476,613,058,734,112,295,273,799,
154,986,125,556,492,197,679,991,926,747,835,006,498,238,117,444,827,011,786,
812,018,611,187,061,796,421,432,024,575,517,883,289,993,116,578,302,977,042,
567,407,258,670,187,541,406,326,159,382,783,024,453,327,275,604,133,684,336,
879,005,888,227,981,394,281,764,018,301,825,317,818,201,652,196,843,104,833,
368,504,881,229,454,995,738,302,309,048,414,008,662,953,272,904,092,662,299,
811,338,937,400,195,136,613,386,404,455,310,923,634,009,306,897,581,258,682,
973,399,065,175,784,177,549,253,388,659,031,767,804,233,806,139,262,609,326,
874,655,703,186,976,445,148,373,968,388,932,821,627,542,242,477,139,757,256,
492,926,108,094,646,473,423,056,781,930,403,725,135,403,427,082,804,109,603,
165,719,146,896,150,045,590,056,584,690,556,804,376,784,298,497,439,197,721,
260,674,849,390,366,367,048,129,953,427,770,207,737,266,454,219,115,458,568,
708,086,952,362,553,547,876,139,906,944,104,642,467,529,614,887,754,216,158,
757,515,279,011,456,139,457,532,940,686,099,884,932,960,720,626,671,477,173,
426,250,787,245,811,755,057,948,527,656,085,119,821,916,307,879,471,867,674,
955,493,224,033,860,329,890,953,021,249,145,121,874,600,471,591,275,130,562,
602,915,833,961,690,882,696,829,424,179,988,671,400,690,006,492,338,376,163,
254,850,523,824,345,130,571,656,322,140,075,923,411,551,428,432,467,474,352,
990,604,044,598,976,495,113,859,663,455,920,093,321,604,689,591,034,687,872,
463,213,922,167,414,963,888,892,708,203,472,538,683,320,549,196,832,728,217,
121,001,513,177,683,760,600,377,356,736,922,919,474,469,693,478,916,124,749,
902,990,592,361,021,269,022,843,698,927,290,849,090,306,025,186,092,853,858,
232,030,639,399,772,597,435,009,576,495,163,788,295,317,865,132,676,354,727,
062,407,868,100,025,991,676,415,459,868,557,654,269,746,095,145,899,769,232,
423,060,651,976,981,801,644,927,239,422,723,887,181,748,323,276,135,184,127,
091,690,406,052,884,173,106,918,992,250,235,565,535,054,081,497,641,124,208,
705,574,657,206,956,025,175,858,312,993,538,741,422,004,794,079,770,076,799,
646,071,159,500,420,915,729,849,557,678,285,420,253,781,494,293,571,436,216,
219,055,759,610,694,050,767,699,593,171,292,255,636,586,724,268,403,469,430,
792,690,565,987,913,143,032,317,317,749,318,378,651,166,588,078,063,755,666,
050,433,391,008,225,721,352,490,828,537,005,071,308,271,228,446,637,138,235,
325,753,966,686,259,484,753,581,138,353,143,377,504,534,768,430,506,435,039,
764,691,786,328,881,657,313,567,657,761,850,977,452,766,059,824,146,130,147,
504,243,068,469,274,339,437,036,499,034,368,267,380,709,125,263,998,288,390,
124,893,072,211,249,805,412,758,438,185,851,862,394,702,235,703,069,217,661,
894,729,179,899,993,113,509,122,041,290,243,733,488,882,212,852,905,034,494,
970,188,928,339,739,282,207,747,164,704,978,651,018,337,531,825,017,203,432,
132,174,764,238,441,297,416,188,037,103,489,188,193,274,227,645,533,402,824,
579,466,962,028,194,702,096,454,445,006,319,459,389,442,783,896,549,756,198,
781,729,894,187,358,742,530,362,753,746,979,753,705,224,008,451,312,364,490,
120,743,714,129,629,395,787,889,477,669,204,638,015,063,126,775,708,259,503,
499,239,292,753,704,956,358,152,579,903,988,453,071,918,686,634,585,520,067,
709,886,466,091,652,255,298,759,736,239,801,460,421,646,398,838,039,364,213,
704,861,051,890,528,256,102,790,053,911,059,808,528,543,714,821,770,341,904,
465,667,391,535,229,105,296,887,702,673,323,201,473,531,197,679,222,910,684,
921,367,239,295,575,500,034,641,555,650,201,153,663,018,802,679,323,876,411,
469,138,794,462,257,392,673,103,760,469,691,963,719,350,608,894,358,321,283,
229,849,918,262,798,193,866,333,019,093,947,610,975,511,181,840,318,401,157,
587,852,375,873,412,586,950,030,211,358,340,866,377,571,870,535,162,171,831,
611,392,898,757,933,990,756,775,469,428,248,247,582,321,530,414,830,186,535,
369,056,453,702,248,051,600,304,296,564,381,921,200,350,069,188,406,526,279,
521,406,784,505,545,608,149,778,889,225,274,835,528,456,786,686,247,676,214,
577,294,148,845,572,496,310,367,432,158,101,049,802,238,651,231,474,654,141,
977,057,044,476,121,492,155,790,620,471,014,570,927,876,299,358,852,911,091,
097,751,928,731,754,207,661,639,991,244,063,124,786,763,747,089,170,887,488,
692,382,888,973,145,986,875,436,652,076,833,458,150,567,685,099,089,328,982,
309,224,766,283,359,140,827,604,785,872,860,768,539,480,287,531,584,302,797,
437,655,857,696,557,206,749,492,475,348,514,824,584,092,007,542,829,771,790,
403,155,854,192,581,432,123,032,574,141,788,953,024,374,807,030,509,372,617,
974,929,815,693,471,705,894,141,801,180,991,763,567,066,520,926,984,973,890,
799,426,735,835,387,341,614,854,530,397,309,966,033,642,656,697,328,985,755,
486,485,631,555,710,193,838,106,035,038,278,063,489,818,070,834,607,621,073,
430,238,021,141,803,220,676,092,795,881,181,052,717,951,444,150,656,010,057,
898,860,376,121,673,142,696,560,645,017,606,278,301,906,547,412,145,838,148,
402,531,209,985,308,000,919,695,333,340,725,458,816,233,216,336,183,625,812,
092,610,992,841,639,683,406,507,815,710,411,011,750,170,319,516,385,810,781,
770,426,064,610,452,571,939,268,497,877,557,053,117,637,782,515,467,043,597,
327,977,480,069,708,468,962,802,535,293,556,372,252,666,582,188,103,773,316,
662,455,508,058,474,544,245,092,014,617,529,501,519,899,836,201,090,412,706,
290,830,483,293,125,028,900,443,969,579,207,970,189,613,568,183,154,340,242,
876,881,307,694,012,616,845,160,941,324,449,749,261,594,698,804,752,570,707,
845,139,054,581,250,102,691,172,240,208,224,002,657,875,744,606,819,590,667,
615,365,384,444,611,725,848,844,039,821,158,671,095,979,363,287,581,101,044,
647,597,994,565,721,799,756,940,560,952,300,807,308,426,190,448,940,818,879,
412,977,947,469,558,067,196,121,697,986,785,215,036,384,470,296,563,804,477,
341,219,201,670,863,509,521,158,991,513,235,722,539,341,875,473,326,967,659,
416,363,669,576,154,455,747,640,518,850,557,240,741,854,594,747,286,485,932,
649,145,922,890,622,673,796,398,354,291,480,207,247,691,896,917,514,972,923,
271,350,590,239,828,034,311,152,159,643,848,697,656,354,612,282,402,409,529,
269,403,818,182,544,817,451,451,729,034,763,237,816,939,027,270,622,785,299,
042,144,735,904,964,595,375,419,239,609,824,372,875,569,252,046,688,440,006,
137,107,819,411,573,987,474,907,241,614,158,262,493,751,880,264,588,369,950,
456,906,201,468,823,591,867,165,118,890,604,891,478,583,930,223,583,625,980,
412,898,857,696,775,534,406,638,058,154,746,092,746,642,320,770,772,523,074,
856,104,978,822,988,257,902,820,225,032,251,296,021,383,664,261,360,907,091,
801,338,385,217,319,013,243,727,991,057,985,421,954,640,335,630,923,110,575,
987,799,274,089,651,869,306,102,338,824,625,279,187,868,558,610,085,274,778,
523,043,137,692,577,042,746,043,187,897,786,939,149,936,271,391,653,263,850,
191,701,888,479,899,951,199,515,016,846,699,669,778,925,873,850,723,556,239,
328,795,169,077,414,877,063,318,538,409,529,372,215,305,846,886,749,595,839,
923,807,170,333,226,652,841,452,433,985,075,867,340,212,391,073,541,313,287,
160,858,837,735,512,352,799,245,641,814,726,215,791,275,261,521,053,970,565,
000,492,347,841,130,420,666,180,646,106,931,807,447,169,012,359,039,542,959,
076,651,859,665,152,201,542,381,984,061,663,886,639,176,508,792,895,213,460,
670,728,349,088,441,103,594,863,520,124,871,168,977,050,222,290,642,731,033,
095,703,840,230,510,370,811,520,976,927,323,514,736,711,844,626,157,167,524,
294,280,316,868,453,916,559,443,345,998,157,748,183,122,187,300,575,833,333,
364,000,537,991,371,307,418,774,208,677,193,499,559,293,676,622,402,084,863,
459,910,413,161,618,685,904,949,113,050,946,482,025,127,431,724,801,547,995,
616,476,821,278,085,465,054,460,816,660,272,807,283,405,448,965,542,899,144,
537,841,698,292,103,522,709,125,381,212,398,057,916,361,752,109,131,973,010,
994,618,619,939,156,768,589,769,953,342,271,620,247,775,458,706,497,551,842,
915,349,292,691,753,153,756,876,941,342,924,925,508,449,046,743,556,791,227,
703,447,025,067,261,974,554,233,522,790,273,073,061,577,741,019,774,903,883,
261,576,055,688,796,296,991,084,307,245,735,817,878,570,809,268,526,715,396,
586,589,514,571,145,596,023,985,893,067,768,145,995,965,273,720,498,510,873,
315,680,356,329,923,616,575,955,177,459,192,553,762,322,015,827,064,738,048,
723,646,477,866,396,271,682,736,790,382,220,062,817,151,264,427,728,191,639,
959,299,837,648,237,028,722,038,293,122,809,629,624,707,090,403,300,802,176,
237,178,963,506,461,055,469,313,945,479,876,628,276,844,989,739,199,364,101,
354,389,255,498,134,580,037,661,873,712,074,193,823,673,748,466,983,538,684,
669,905,391,156,943,329,414,368,850,545,945,998,839,433,625,213,537,977,039,
503,319,898,958,299,614,046,106,116,718,318,772,181,206,369,517,652,728,534,
858,404,393,082,638,623,398,797,426,713,519,178,242,627,048,264,168,032,426,
697,921,324,643,978,419,256,985,459,488,885,482,466,310,283,544,192,295,505,
398,609,587,808,100,078,762,265,568,888,677,087,269,540,502,926,690,098,322,
780,038,867,155,933,340,296,474,854,813,556,446,275,324,891,458,492,911,003,
151,119,747,242,641,164,687,782,312,605,566,848,673,097,934,936,421,746,576,
809,737,414,109,513,198,198,849,721,166,294,532,889,413,296,806,439,130,029,
214,175,954,797,880,391,658,621,784,384,744,182,370,498,710,411,085,806,050,
004,106,288,211,756,367,555,630,815,228,218,278,627,926,710,255,069,900,513,
303,582,094,627,667,713,536,447,595,262,873,638,938,234,575,382,498,221,990,
041,643,820,932,675,146,006,985,160,591,930,649,164,607,077,565,646,961,369,
690,771,445,835,459,574,556,305,860,155,977,007,898,600,422,954,243,123,022,
806,431,379,869,040,668,877,693,627,605,882,607,756,060,018,060,302,033,944,
704,000,367,159,053,821,982,918,028,849,192,484,835,369,067,423,384,062,107,
998,392,471,136,949,896,783,400,783,241,204,485,347,271,132,141,983,550,821,
905,029,970,248,403,301,330,412,414,002,228,848,789,788,301,379,840,271,312,
629,569,694,754,893,322,702,566,125,625,504,993,835,135,272,292,909,653,795,
462,971,013,359,531,011,187,595,876,567,525,623,667,976,680,422,712,480,395,
152,950,233,587,335,989,813,574,467,883,785,933,431,706,661,498,548,489,489,
457,440,028,594,368,504,528,353,080,726,164,214,148,977,990,471,235,410,000,
492,496,817,059,998,098,685,312,708,980,362,387,589,869,233,730,670,888,993,
737,456,727,437,694,103,257,250,672,954,770,038,426,706,221,929,596,802,914,
167,445,095,676,165,514,521,142,295,544,590,322,925,759,111,908,249,713,539,
393,933,783,289,850,766,828,782,471,194,489,236,634,561,996,492,472,513,352,
407,171,651,001,719,623,167,882,101,372,610,743,370,793,438,753,112,808,395,
389,000,734,759,253,797,714,349,599,249,014,996,764,036,995,649,314,211,349,
310,780,571,036,139,928,697,009,213,355,165,344,896,149,033,914,373,623,344,
846,155,285,055,587,104,371,044,494,689,724,841,629,354,146,804,277,159,909,
837,302,747,343,227,254,469,121,859,490,604,566,221,083,824,585,474,894,737,
308,788,479,811,914,066,585,978,047,442,363,052,002,284,322,676,322,478,480,
955,226,344,142,201,811,260,133,610,851,099,505,180,595,220,256,494,220,887,
149,633,091,221,205,360,673,626,216,800,831,511,032,244,415,947,216,688,735,
102,550,890,766,025,030,209,672,081,233,302,052,882,891,381,838,983,188,233,
144,444,296,918,432,031,139,384,118,251,094,975,769,982,039,058,494,782,399,
619,739,480,323,388,323,151,663,832,545,360,027,457,128,930,125,942,975,399,
343,801,938,389,804,524,542,373,029,693,694,500,474,968,896,498,955,571,952,
523,361,544,958,426,123,712,136,157,142,619,560,793,941,413,763,140,911,173,
418,362,160,081,810,509,319,504,199,761,250,877,626,688,547,981,901,718,969,
907,922,737,731,109,251,717,282,629,161,674,536,243,192,303,344,376,017,480,
332,971,535,089,966,049,868,986,504,922,669,121,539,094,167,437,134,860,000,
002,297,604,645,198,147,434,712,486,367,669,174,742,367,220,654,929,286,810,
090,729,139,669,540,339,021,030,858,748,534,388,029,335,342,540,094,848,025,
431,939,420,634,105,613,057,517,306,697,126,987,869,993,853,419,694,700,597,
437,608,894,422,090,614,538,655,072,409,520,424,026,305,962,784,712,857,791,
800,079,343,035,333,357,583,065,513,825,443,187,273,167,306,564,680,433,736,
917,095,422,839,154,866,476,482,729,547,902,618,734,060,324,534,217,620,857,
455,041,013,530,487,716,994,552,753,381,031,228,378,896,313,976,017,820,883,
037,742,760,514,001,983,579,334,273,973,910,309,506,381,763,093,117,040,897,
386,478,905,575,867,013,068,112,385,885,611,389,192,172,994,760,285,350,877,
630,117,894,803,368,127,130,312,777,769,921,635,828,579,085,372,928,423,677,
225,503,801,872,073,796,758,901,173,960,209,992,286,575,620,283,661,951,914,
331,486,308,239,964,131,275,217,415,808,396,095,346,027,101,856,355,900,249,
867,355,794,568,261,420,600,553,675,444,490,841,798,860,404,521,529,944,110,
262,986,785,117,327,493,649,317,956,639,645,275,963,705,789,223,269,360,576,
876,961,112,896,463,534,418,372,460,102,680,063,159,998,989,880,626,184,788,
393,829,027,834,902,422,821,032,874,328,482,365,696,277,020,728,176,373,840,
500,878,679,285,067,293,374,606,892,333,752,758,463,539,105,188,186,179,770,
095,674,124,327,902,216,946,023,158,917,085,160,636,869,115,031,303,430,177,
456,210,084,865,938,840,159,186,915,683,194,778,266,395,933,567,823,846,159,
677,279,492,807,692,901,500,097,687,815,347,469,289,498,292,149,897,365,314,
614,723,535,370,741,445,433,205,031,891,325,294,715,046,605,237,647,796,050,
021,045,012,949,132,320,559,351,146,243,587,509,943,930,647,320,576,599,938,
157,451,708,423,425,897,865,129,223,009,290,395,051,116,946,298,586,890,279,
622,651,688,788,086,522,943,547,155,426,053,562,577,527,142,335,812,363,935,
325,251,813,711,179,119,371,247,121,216,342,767,426,626,164,120,151,608,691,
579,271,841,695,349,554,580,566,654,121,310,054,387,035,477,207,614,679,707,
004,767,562,511,214,691,657,795,566,968,910,957,326,910,537,911,909,221,359,
092,235,332,270,951,000,437,957,980,339,901,646,073,119,102,894,034,846,011,
793,327,109,307,178,176,379,332,787,208,820,178,806,645,093,222,594,289,824,
982,135,887,405,886,105,979,313,933,131,359,137,708,096,767,943,264,566,938,
848,529,636,092,406,830,799,415,052,727,961,597,715,480,872,686,303,003,194,
953,984,618,975,630,679,133,600,010,894,427,623,755,939,685,700,326,302,287,
407,293,461,914,132,743,008,200,164,662,905,755,274,508,473,411,432,491,620,
692,407,524,420,655,777,235,354,847,734,857,439,243,359,932,269,691,201,291,
146,610,806,877,843,438,517,396,508,845,075,444,470,167,123,265,682,287,851,
282,491,473,742,149,728,381,274,190,992,104,506,859,707,256,185,041,199,839,
702,008,310,473,822,916,707,909,704,070,854,650,624,418,039,790,777,716,369,
703,652,390,059,665,688,438,767,727,438,107,010,222,537,150,289,654,580,095,
090,012,307,399,371,717,875,401,323,753,052,120,771,718,300,014,205,449,016,
791,316,110,288,726,614,412,619,937,719,992,796,199,654,571,001,591,898,148,
673,112,733,156,879,929,594,371,807,904,712,946,165,452,061,846,586,967,089,
762,434,182,252,960,952,851,003,072,975,823,689,649,046,971,237,377,596,661,
712,544,494,899,156,026,817,205,504,302,918,414,240,369,331,855,052,597,414,
089,049,286,047,992,325,577,420,719,482,693,864,743,166,059,178,004,763,944,
961,056,734,957,921,149,210,663,182,543,240,841,033,073,995,382,323,413,945,
094,299,108,817,213,747,444,934,499,169,517,085,915,486,084,270,847,729,509,
267,982,750,557,511,496,367,674,394,059,948,245,472,455,331,618,411,103,178,
146,484,222,494,085,319,381,342,639,618,949,108,077,209,073,499,504,282,629,
583,850,616,759,859,427,796,400,566,391,227,831,680,649,868,176,483,540,515,
492,254,474,406,342,405,227,132,813,893,817,408,461,309,684,639,132,408,507,
736,278,518,657,385,152,680,772,290,677,295,736,301,589,236,688,118,969,844,
299,916,900,700,135,503,492,496,963,232,803,332,266,481,885,648,229,128,258,
211,411,293,247,743,646,438,947,967,381,499,789,530,694,652,651,970,867,447,
886,876,045,535,433,565,753,966,300,429,497,636,775,154,295,205,160,639,719,
865,826,705,153,197,858,533,034,278,222,194,916,770,411,459,679,082,545,564,
746,862,839,940,341,143,827,585,514,408,101,719,265,871,377,202,795,761,981,
450,598,448,287,223,462,896,262,254,476,454,069,466,761,518,377,872,131,223,
158,650,125,695,993,208,443,073,808,392,964,138,767,056,343,970,951,012,459,
189,264,023,640,941,000,042,460,955,012,522,179,181,268,227,963,420,714,250,
398,902,883,480,806,209,633,646,958,355,664,586,805,345,609,908,741,190,896,
223,039,139,021,105,193,646,872,538,323,416,361,174,377,276,809,811,150,528,
920,670,994,932,629,609,138,536,036,615,783,006,126,297,336,078,529,254,954,
007,738,080,416,014,767,842,475,987,260,790,181,367,975,724,235,983,652,281,
136,369,953,844,385,261,031,896,473,085,489,028,354,809,138,962,602,080,026,
463,935,343,333,543,730,245,914,636,187,195,708,818,822,482,574,392,361,900,
817,254,496,824,969,117,393,530,688,460,471,045,085,247,240,134,590,439,166,
368,538,717,556,998,691,526,108,608,399,675,226,205,356,439,052,499,021,091,
960,823,511,291,642,875,612,905,065,807,168,414,305,769,552,225,436,105,504,
137,264,672,059,589,099,126,051,732,771,773,495,454,247,407,445,314,265,852,
671,077,275,638,652,927,261,151,084,379,379,387,584,062,095,510,676,712,428,
657,954,989,272,558,034,904,540,574,111,359,073,636,155,324,923,862,778,972,
487,357,985,798,852,862,835,777,631,390,677,439,811,571,181,556,914,887,284,
448,599,261,368,577,280,401,472,813,909,727,309,000,389,065,895,638,039,407,
430,397,529,404,161,659,689,997,555,791,941,238,885,955,348,979,680,634,322,
872,500,479,554,123,050,214,663,514,302,073,128,728,017,218,603,222,758,867,
028,037,185,940,532,401,885,150,801,926,366,907,259,288,306,496,503,743,541,
682,802,876,349,775,925,621,201,239,126,225,685,517,328,318,438,177,555,758,
954,422,406,337,356,863,389,090,204,281,593,133,377,582,023,977,366,773,317,
202,690,840,586,491,130,236,281,948,527,967,137,556,635,581,341,455,843,159,
005,949,631,290,124,492,697,375,706,136,165,021,336,261,902,297,352,839,353,
763,481,497,937,066,177,311,467,456,095,654,664,645,384,634,624,040,561,307,
063,079,862,157,295,333,405,963,048,559,646,800,995,802,560,567,849,343,519,
498,692,285,635,142,050,432,564,992,180,910,450,950,538,086,585,819,715,478,
497,555,345,782,997,851,873,752,126,376,462,289,943,516,971,414,885,446,595,
113,730,719,971,717,357,267,617,269,673,368,968,582,311,113,282,791,944,635,
258,716,699,872,786,876,095,697,057,414,488,581,518,132,748,258,875,921,249,
054,162,146,035,682,018,494,288,176,648,082,178,253,936,562,931,472,420,659,
889,197,608,755,953,622,099,821,943,554,152,722,264,600,484,344,538,413,286,
606,456,508,123,949,351,576,063,967,552,352,452,685,103,110,145,042,225,661,
057,267,149,791,275,628,255,418,257,206,985,146,939,164,507,458,856,899,535,
572,132,722,360,913,284,928,638,194,255,340,184,802,513,274,558,306,888,907,
458,057,987,626,864,314,303,948,366,662,107,167,428,532,724,067,406,358,553,
840,672,288,801,269,798,922,326,771,076,886,660,204,357,292,932,463,337,354,
622,914,183,841,736,928,645,481,730,171,628,358,430,716,784,157,867,908,646,
230,529,965,713,675,125,586,057,089,226,612,283,902,358,349,829,985,873,011,
216,892,386,353,465,940,171,348,810,418,559,628,962,243,260,298,355,337,174,
932,851,701,000,116,670,063,471,093,004,345,821,192,314,227,277,820,688,738,
973,667,419,096,888,060,246,438,038,907,343,719,386,301,289,532,611,729,704,
445,275,822,091,520,894,125,481,931,322,679,140,956,886,787,574,766,839,319,
677,959,984,215,891,935,482,283,401,902,648,128,506,876,484,393,779,561,332,
066,439,398,603,993,073,564,995,142,422,926,015,433,948,931,130,579,418,781,
485,090,930,516,684,958,955,182,778,863,240,379,974,859,149,135,619,224,248,
416,821,604,769,671,626,955,808,855,977,598,115,422,700,831,683,109,351,840,
695,407,918,573,017,556,360,177,560,250,831,376,119,598,035,142,733,623,625,
198,559,634,298,772,169,491,430,533,891,640,789,849,289,207,152,980,689,597,
924,963,488,463,788,370,462,402,369,658,466,311,413,197,711,921,091,438,056,
527,582,166,790,584,946,244,376,743,135,369,935,025,993,200,647,446,965,504,
225,066,580,630,134,415,236,719,513,378,204,602,718,256,251,460,647,451,054,
204,684,098,447,027,157,618,351,422,613,341,034,628,977,849,967,810,500,842,
832,994,850,396,093,745,787,575,727,787,206,871,828,307,462,953,316,049,215,
650,662,909,760,696,444,079,833,088,387,362,365,350,060,026,515,638,184,092,
030,958,929,855,256,244,944,411,252,644,867,592,120,780,511,938,950,358,693,
966,163,256,172,082,571,997,047,853,342,460,027,981,466,355,433,098,284,955,
862,593,887,477,476,273,408,762,619,800,941,692,459,480,921,711,049,546,982,
627,637,665,207,727,894,509,171,363,150,083,571,199,533,856,646,627,788,469,
570,221,147,523,579,066,296,400,709,418,718,298,485,418,344,065,832,239,838,
987,491,711,638,638,355,721,965,928,653,187,806,444,043,357,634,603,885,783,
002,805,538,236,678,330,127,083,595,575,184,774,174,584,602,046,208,925,425,
456,901,410,383,863,971,805,916,108,195,549,107,699,471,234,687,509,118,383,
268,257,290,800,464,349,549,665,247,843,320,023,977,829,758,290,120,343,900,
560,875,466,874,540,380,034,810,308,706,225,538,204,192,158,902,366,489,384,
463,190,549,580,456,631,184,486,572,390,234,672,918,721,221,535,810,540,669,
929,073,274,487,746,044,475,312,162,156,948,226,281,285,116,474,917,470,447,
156,757,337,052,020,976,094,726,541,888,869,190,375,558,968,260,440,117,623,
050,681,560,622,728,494,202,534,187,157,153,302,712,096,574,847,320,451,806,
088,627,278,915,700,862,654,720,694,818,097,538,285,294,812,014,953,093,508,
782,651,686,023,433,348,447,490,843,859,450,424,276,909,854,909,016,407,363,
753,912,277,080,043,230,691,446,369,123,535,250,646,020,201,394,958,144,822,
226,128,961,858,469,740,485,403,477,517,693,953,848,852,975,859,008,727,211,
833,841,674,692,968,274,382,336,193,198,202,845,803,175,052,595,903,657,403,
344,128,140,715,979,052,185,790,505,693,220,413,275,071,520,104,621,620,183,
782,672,910,872,824,880,801,412,942,527,094,606,209,472,502,667,962,266,014,
526,250,566,929,018,569,721,968,784,505,179,577,683,518,581,811,887,388,543,
959,289,291,530,925,914,337,547,109,790,741,281,451,466,235,182,341,204,417,
517,871,708,717,056,962,208,664,973,640,028,282,445,638,492,063,468,890,369,
514,178,616,051,157,996,568,476,071,677,456,282,184,285,052,354,982,971,339,
507,367,000,483,931,352,978,754,591,052,430,394,278,886,982,957,572,906,966,
452,103,947,302,619,838,446,143,253,381,868,976,832,109,535,998,167,336,082,
416,795,112,472,975,910,623,978,416,098,475,404,188,757,571,758,168,756,972,
044,162,860,586,951,653,380,604,495,391,862,781,458,554,499,916,752,058,894,
417,148,677,215,138,817,616,007,739,236,683,536,062,927,128,630,643,198,149,
526,394,028,294,026,785,110,672,920,220,529,967,069,452,307,928,154,320,801,
749,789,805,163,697,314,714,900,198,579,905,231,851,762,473,101,639,899,633,
445,672,850,802,057,920,329,997,353,482,621,134,159,683,171,232,657,161,612,
230,908,329,438,226,335,763,416,975,718,991,547,151,563,591,792,580,242,346,
067,803,622,751,966,045,569,043,045,702,663,327,244,602,099,385,451,800,721,
636,858,529,444,375,530,402,062,719,027,051,925,714,258,825,717,496,032,714,
045,380,088,757,108,167,766,268,846,893,984,411,539,278,009,551,756,481,499,
199,911,845,340,231,874,054,915,087,543,619,662,790,145,786,676,521,445,101,
051,202,637,275,105,503,364,714,849,644,226,365,176,673,423,707,487,080,174,
998,553,862,291,930,877,932,316,226,967,173,873,054,067,085,866,614,788,141,
828,724,254,969,353,733,846,568,933,470,355,131,320,748,385,085,596,978,234,
832,035,650,791,659,844,035,149,309,968,338,670,994,765,479,601,256,360,857,
378,139,230,377,302,646,393,593,425,205,511,562,146,590,424,148,625,035,201,
162,473,597,824,995,939,105,849,413,165,741,673,067,584,180,545,330,651,899,
061,311,329,327,720,425,635,412,732,945,077,978,305,541,560,075,945,857,137,
886,209,749,151,523,017,046,102,129,428,875,391,069,756,081,163,107,265,789,
011,957,217,986,118,248,985,156,353,861,077,414,706,875,708,437,184,695,985,
831,737,589,442,627,238,282,440,763,745,397,841,512,698,214,032,559,307,263,
658,053,392,226,095,835,152,000,084,727,524,804,464,172,239,542,818,449,454,
701,367,592,846,593,821,235,970,348,770,153,728,555,634,675,667,951,664,534,
947,141,267,710,989,296,898,035,806,491,804,383,409,960,802,501,693,365,961,
720,962,183,531,193,467,576,423,371,597,778,725,691,763,215,596,471,044,995,
132,587,166,998,657,419,662,475,936,759,719,973,192,577,411,607,163,791,634,
719,890,979,058,215,610,121,969,866,346,507,084,284,526,914,547,262,819,299,
349,151,193,722,436,186,546,048,657,830,916,662,267,904,992,199,309,678,670,
609,270,181,984,923,850,637,514,750,972,865,080,890,987,214,281,157,817,132,
847,654,692,522,780,300,626,784,762,911,294,239,575,766,894,475,765,052,394,
031,921,171,901,288,459,677,164,455,930,987,093,556,968,122,142,266,142,234,
618,693,364,195,025,507,022,765,144,108,655,462,699,493,006,899,793,594,252,
289,157,708,512,877,743,981,137,738,218,219,217,039,876,084,790,118,469,009,
022,415,067,108,106,111,913,481,064,122,590,495,386,096,175,384,716,038,393,
697,143,118,464,592,565,953,357,739,219,920,762,709,018,692,983,717,891,752,
964,650,896,268,095,702,715,106,671,446,290,363,079,697,394,206,844,581,940,
258,329,574,544,984,191,885,885,996,540,825,011,039,495,618,889,067,347,614,
038,062,014,843,765,526,517,254,643,990,722,326,595,454,300,955,944,529,291,
724,966,120,743,176,562,311,128,551,014,481,619,774,635,634,904,721,367,094,
774,824,431,116,379,542,592,962,448,967,049,653,039,074,516,812,132,839,585,
208,182,296,102,727,016,232,614,145,155,173,183,881,854,955,039,819,145,276,
753,746,228,488,205,174,973,061,514,874,482,408,161,954,092,131,256,380,852,
417,107,799,379,224,131,362,795,807,960,526,986,522,930,943,050,846,850,217,
021,645,020,196,782,202,926,782,314,756,201,268,626,001,782,561,688,892,303,
446,872,181,357,380,560,606,159,161,571,619,758,575,364,638,011,180,357,628,
298,606,695,631,295,416,659,652,486,027,574,117,449,667,165,551,569,370,972,
796,720,609,571,433,699,420,089,695,804,280,066,540,143,291,080,991,055,744,
274,304,201,093,977,930,858,995,311,867,202,069,344,187,886,898,054,004,382,
389,234,397,309,134,840,511,238,396,609,959,159,903,978,685,948,025,920,969,
634,565,227,053,815,412,328,855,296,278,330,087,807,801,258,438,522,709,112,
115,239,866,651,875,667,418,641,227,300,595,236,107,666,161,614,664,068,486,
091,699,655,980,932,374,072,025,246,220,446,408,407,970,839,496,556,593,657,
527,325,244,863,371,684,389,448,857,119,638,217,744,461,990,141,533,346,945,
939,137,975,651,853,618,883,163,523,628,612,018,599,513,991,067,194,648,183,
534,777,642,071,164,709,359,909,691,950,133,261,787,195,182,807,929,314,183,
652,908,332,631,848,128,134,326,144,423,980,576,225,004,651,977,351,121,349,
244,125,084,296,802,452,365,428,017,549,228,985,738,502,894,083,357,569,623,
433,791,111,097,421,679,269,219,217,210,680,997,591,902,216,019,854,200,759,
605,739,391,248,818,982,365,266,023,133,712,275,964,198,755,734,042,497,491,
352,983,590,233,949,532,138,966,104,483,119,394,781,559,139,535,790,643,695,
286,961,985,604,629,790,931,199,066,410,950,185,055,191,346,098,462,206,856,
822,148,030,674,679,203,557,391,231,745,955,294,659,175,297,883,670,930,494,
713,132,321,387,230,223,582,696,470,095,249,037,385,432,122,550,878,816,360,
147,818,676,331,104,731,954,302,538,028,092,919,081,625,119,376,076,822,527,
807,139,608,125,424,830,983,072,413,028,592,833,017,449,613,150,305,026,894,
363,807,596,725,777,462,908,149,796,362,497,007,516,502,005,202,022,312,792,
357,856,778,387,057,113,834,342,327,863,080,709,049,386,552,459,163,646,072,
460,027,045,348,763,907,784,206,632,823,456,513,019,545,629,798,484,746,784,
436,790,031,577,341,796,939,598,945,987,701,166,602,701,798,667,603,706,569,
050,070,279,123,882,364,162,347,021,695,169,496,913,776,989,537,879,563,833,
379,822,706,995,433,306,610,804,014,307,510,691,222,789,950,845,984,227,516,
121,790,227,612,550,795,934,811,738,709,383,980,206,932,797,801,975,908,124,
808,945,989,051,663,999,775,622,249,988,674,632,452,059,727,877,508,705,364,
169,375,496,301,101,053,806,407,743,735,172,068,584,692,350,014,746,555,672,
228,768,867,605,812,014,731,643,687,067,133,149,293,486,537,671,947,465,418,
124,567,253,426,946,813,481,275,912,580,172,656,586,091,131,974,907,543,081,
437,615,038,880,834,620,793,288,457,503,174,566,548,847,517,883,512,261,021,
602,610,597,818,849,712,606,688,840,674,082,708,666,466,949,642,294,195,297,
415,752,985,777,237,486,077,183,529,991,458,340,724,535,539,680,971,348,937,
918,276,398,353,039,091,547,798,655,864,572,098,218,787,208,426,280,547,510,
277,644,304,764,887,066,731,029,670,399,146,675,854,222,232,553,599,591,208,
040,862,883,528,687,761,640,063,375,677,779,621,559,506,848,698,085,027,824,
079,125,088,342,548,161,547,707,236,426,766,452,953,692,642,839,414,235,188,
538,009,117,354,005,415,450,846,201,799,902,100,534,319,560,665,603,218,994,
745,329,578,847,679,829,711,923,411,283,361,908,558,948,968,055,341,533,867,
124,329,660,845,731,124,859,243,959,588,438,169,814,814,545,922,959,720,551,
569,665,320,317,718,384,351,278,124,020,116,486,381,879,053,702,947,248,274,
223,422,040,959,581,994,381,335,655,327,790,292,641,466,005,261,887,213,009,
744,646,106,885,380,903,027,679,154,301,057,644,748,847,708,045,685,490,795,
307,557,030,309,220,155,268,420,190,932,514,802,227,549,757,844,141,462,477,
313,725,223,396,994,222,658,700,642,025,893,822,747,490,758,710,306,973,777,
931,575,823,662,046,233,324,697,316,875,464,272,059,422,029,207,717,398,359,
099,846,821,600,578,532,507,397,816,848,265,008,171,924,980,951,067,740,733,
308,156,050,916,634,095,919,667,710,270,817,394,795,430,315,149,984,042,044,
643,072,619,345,881,900,399,551,564,740,672,645,211,616,472,017,310,746,594,
358,406,372,496,559,330,769,401,434,781,315,857,138,797,034,241,724,875,688,
302,588,539,502,788,551,883,570,794,663,061,276,085,457,535,063,190,233,515,
262,980,610,631,334,315,465,042,373,248,140,806,887,744,013,899,206,731,608,
964,159,601,405,642,371,818,470,660,098,440,643,912,131,374,805,385,050,500,
133,012,572,449,626,935,550,980,912,027,887,040,153,977,717,043,018,470,045,
052,125,788,859,790,304,084,170,120,588,925,104,989,587,243,233,102,096,602,
959,688,028,730,205,896,512,992,507,350,771,610,308,804,648,500,099,496,777,
999,209,621,823,559,646,629,836,607,981,701,634,470,380,348,837,347,867,907,
572,723,236,316,060,456,306,557,923,686,092,075,337,834,894,064,179,881,496,
104,302,520,591,655,865,453,514,596,807,325,603,513,392,654,011,232,496,874,
923,308,394,659,209,363,323,106,359,652,746,768,455,977,536,211,892,066,183,
758,388,984,652,216,155,457,576,824,150,589,960,697,114,999,846,570,222,288,
200,736,484,973,972,814,157,194,390,079,679,402,076,768,231,303,123,128,837,
086,560,144,944,313,965,847,599,868,683,552,500,505,270,479,489,644,459,769,
869,483,536,947,516,057,805,847,219,273,548,019,229,302,607,299,298,675,547,
881,087,695,087,776,431,596,350,299,907,816,276,047,590,987,320,482,181,808,
373,957,173,837,201,053,424,390,328,352,649,867,025,191,105,243,595,112,926,
625,953,195,554,590,489,771,159,741,323,214,691,283,898,077,380,394,430,693,
144,630,032,563,893,305,637,025,279,877,229,352,759,998,043,391,305,153,141,
179,583,894,528,751,432,172,937,636,423,296,064,544,988,122,573,393,207,451,
389,987,198,262,340,685,126,931,480,921,862,711,348,996,841,225,070,601,148,
603,574,394,182,249,851,198,624,392,622,351,196,712,909,273,690,299,585,328,
666,058,730,859,041,171,052,016,353,671,205,704,558,423,150,211,587,101,419,
986,916,949,192,499,431,774,842,230,711,316,030,801,795,516,045,748,829,328,
412,647,588,877,622,244,277,885,638,005,536,784,699,384,832,498,700,527,214,
905,271,632,944,370,612,322,973,609,460,265,401,700,284,257,339,865,680,781,
637,741,142,204,064,863,088,975,327,377,219,366,407,654,107,438,931,039,710,
508,968,927,536,171,645,032,252,938,665,124,435,079,577,471,303,332,623,606,
628,928,825,387,094,713,129,531,604,130,358,348,398,978,286,223,814,629,037,
486,923,254,400,979,316,618,371,237,310,703,632,577,569,175,632,262,106,748,
766,594,175,134,566,930,483,215,518,341,924,439,052,759,762,624,325,128,485,
088,012,192,881,158,136,526,628,080,510,996,569,673,796,758,047,185,554,848,
243,704,010,186,535,314,101,111,756,182,040,301,393,864,584,725,100,356,230,
039,120,373,884,334,682,526,060,504,408,228,572,927,381,758,786,813,410,069,
367,745,074,378,085,925,090,388,523,554,753,853,311,722,318,204,224,536,134,
701,400,370,365,449,828,789,571,865,844,566,903,068,432,129,609,013,205,144,
106,323,219,499,499,389,182,281,538,400,692,722,854,084,276,974,823,573,196,
936,930,816,716,371,279,730,798,161,732,183,005,383,360,472,487,932,433,232,
077,662,285,741,947,935,785,886,142,140,562,383,559,789,909,992,121,851,299,
120,182,955,369,861,379,957,828,838,630,337,819,019,702,685,632,338,804,261,
475,203,873,292,491,286,424,985,761,708,482,301,743,299,995,229,716,814,341,
398,886,656,473,777,696,782,490,329,764,274,357,732,553,057,406,301,878,400,
639,358,056,534,413,703,355,426,877,798,732,717,835,512,756,991,892,889,110,
701,292,515,802,194,437,637,183,749,287,990,926,483,785,833,550,496,202,231,
162,379,269,553,091,284,113,238,699,514,400,395,110,795,472,136,896,566,545,
710,937,523,378,253,284,021,431,400,098,306,566,591,587,589,710,025,065,350,
949,580,966,077,964,718,782,377,935,372,856,528,118,664,211,656,506,624,161,
001,953,849,372,452,988,926,554,184,930,064,942,154,596,639,174,275,753,985,
040,328,093,987,074,078,476,504,172,247,306,685,521,979,843,443,341,709,240,
632,281,626,103,540,206,556,302,054,102,023,730,446,594,059,459,658,639,326,
236,624,556,304,220,822,507,847,507,572,552,539,259,461,953,765,849,007,786,
882,899,058,880,753,532,508,098,953,984,341,186,401,829,237,782,285,742,417,
654,647,421,929,323,435,579,915,562,969,987,270,718,588,642,948,017,479,084,
136,212,934,274,478,576,772,322,397,967,656,200,438,063,966,609,372,499,536,
818,841,372,335,317,913,103,763,942,816,673,181,815,961,190,609,516,547,821,
606,745,251,074,930,828,876,160,011,391,445,642,603,254,937,712,379,726,815,
810,850,663,155,875,938,623,091,611,947,341,702,057,557,643,358,491,511,636,
555,155,033,607,134,558,421,840,265,875,050,053,212,432,299,547,020,894,941,
237,175,222,524,757,912,326,684,225,558,666,601,895,687,412,278,050,681,943,
662,997,123,855,210,707,935,186,267,507,663,378,629,070,176,418,904,508,917,
119,874,446,753,594,875,910,417,381,531,956,975,906,527,735,949,904,932,090,
680,791,769,636,411,494,500,142,569,821,188,640,835,559,975,830,370,211,099,
687,128,867,023,942,867,531,946,354,321,710,107,109,046,167,447,882,240,156,
116,181,490,116,165,566,526,855,437,260,294,927,242,179,002,446,422,452,784,
669,013,094,021,352,154,454,895,751,839,524,544,764,193,827,104,266,327,220,
622,531,533,380,344,186,607,315,882,466,147,506,486,261,004,777,428,133,057,
212,558,251,501,250,774,133,073,729,020,538,207,251,304,422,662,530,812,443,
739,102,010,712,296,146,379,876,162,942,298,086,033,439,506,760,933,079,317,
236,514,223,717,798,818,111,875,829,780,610,328,895,137,581,369,838,872,455,
031,256,324,388,739,968,056,110,519,480,768,279,802,878,403,232,032,428,429,
011,872,264,856,877,176,778,845,459,907,284,172,152,264,300,003,427,792,863,
975,486,245,753,864,141,671,686,179,351,335,132,703,035,216,102,458,381,739,
360,888,689,600,740,645,764,050,210,500,052,533,966,555,781,704,511,910,794,
464,105,748,189,547,828,958,726,742,496,897,488,335,781,052,228,922,889,979,
882,392,666,922,934,973,125,730,365,191,030,022,434,842,564,946,782,928,586,
029,741,363,974,115,796,069,327,862,315,632,931,004,889,909,345,209,012,907,
532,737,879,661,152,045,811,352,546,081,330,135,423,353,074,402,213,236,407,
670,099,970,405,985,144,821,475,573,610,258,582,052,102,798,382,811,070,602,
720,555,020,234,415,955,381,454,891,880,700,416,514,273,464,014,232,774,794,
157,772,254,222,834,561,252,668,941,691,033,077,914,749,236,120,217,006,680,
004,825,650,420,735,303,628,944,092,772,427,033,483,860,832,716,972,833,535,
758,254,307,405,331,602,188,554,151,773,789,129,207,455,689,428,295,973,675,
880,181,013,145,389,431,994,120,215,807,017,277,475,933,203,450,407,879,575,
164,598,256,032,644,623,873,824,730,351,904,229,100,185,764,667,070,917,538,
143,784,311,084,111,518,322,666,242,575,669,432,395,525,136,658,870,940,551,
600,079,264,066,681,654,633,100,642,916,809,856,041,715,579,914,750,585,689,
068,472,499,154,068,077,464,199,647,615,780,010,386,693,745,054,087,705,641,
903,753,426,665,444,124,084,064,391,519,289,533,474,052,166,808,686,871,663,
957,668,401,793,920,743,647,752,999,532,690,087,015,665,853,843,863,794,535,
142,612,998,951,873,375,942,707,625,239,063,680,956,804,891,192,683,061,633,
339,434,442,456,549,212,960,155,433,811,856,379,531,906,506,293,323,215,908,
423,371,938,432,102,158,143,922,794,381,170,788,178,882,874,288,598,572,985,
612,361,473,732,566,375,038,191,504,797,653,984,348,520,592,478,585,489,366,
204,060,949,334,253,348,623,910,667,017,391,564,798,388,263,653,149,508,985,
108,085,598,179,463,714,358,579,210,305,567,961,817,945,075,223,642,363,607,
547,228,154,692,214,878,118,410,241,349,368,001,239,279,726,962,969,840,809,
774,659,823,660,554,151,963,284,777,731,919,252,767,777,516,880,597,952,625,
589,494,421,558,891,800,361,531,559,128,081,693,209,370,356,857,505,161,062,
939,941,921,220,414,359,475,402,030,838,164,564,766,774,876,169,723,076,759,
726,748,714,871,960,684,787,601,333,572,815,661,692,132,487,855,310,961,818,
475,989,268,701,662,021,653,994,878,807,811,432,612,147,297,689,061,677,421,
584,638,472,629,693,381,844,524,313,465,068,061,606,414,501,856,416,476,281,
464,377,665,741,908,483,160,046,534,658,831,265,726,547,460,711,662,544,056,
275,969,271,093,679,777,302,198,997,762,086,476,311,400,896,275,730,944,563,
469,039,961,518,178,122,521,695,277,314,741,577,251,605,872,973,064,429,708,
137,148,900,864,633,449,728,644,583,709,674,426,111,485,567,784,947,452,255,
412,275,090,190,983,289,405,788,096,258,697,084,260,791,840,421,654,604,859,
956,455,012,541,245,139,005,515,019,535,601,613,309,390,725,524,671,403,811,
995,784,982,050,603,042,557,601,240,804,294,359,116,466,233,467,363,263,433,
340,901,723,888,612,619,661,870,948,589,525,308,931,550,368,310,873,567,087,
244,478,407,738,480,046,013,680,159,469,334,448,584,973,041,168,311,938,541,
545,315,523,584,904,917,684,714,279,128,231,359,223,009,668,501,942,930,163,
863,121,223,595,102,329,527,748,346,754,076,311,704,260,871,366,110,177,420,
260,733,108,377,950,875,655,298,946,419,273,798,329,359,907,635,682,206,237,
492,609,944,691,368,281,314,998,139,564,566,737,406,363,562,426,534,226,173,
398,481,714,769,221,732,858,114,575,163,199,743,018,661,481,264,595,680,180,
281,834,245,346,624,263,295,859,309,281,310,523,196,037,438,171,979,063,732,
677,027,326,252,287,650,875,481,314,744,850,473,527,919,868,625,684,748,005,
943,768,407,784,198,565,818,505,706,679,506,338,543,431,860,952,083,283,459,
939,715,312,403,211,507,543,053,736,558,685,235,477,008,264,303,549,947,986,
687,761,321,523,409,676,385,506,300,846,466,669,560,567,982,033,865,970,743,
178,194,635,706,295,407,100,177,720,873,555,745,593,768,318,737,221,380,757,
207,664,051,744,725,818,953,868,341,761,924,285,453,924,717,416,949,353,341,
863,519,340,679,574,210,943,900,105,433,050,774,055,638,317,305,405,930,235,
818,037,778,971,352,906,425,222,433,754,052,418,987,654,710,129,138,267,639,
244,085,525,790,675,966,552,959,516,300,908,564,628,910,101,792,603,236,258,
763,964,755,748,601,918,413,949,217,213,573,201,356,757,033,747,112,422,757,
755,562,474,910,385,902,372,052,619,101,162,781,074,981,072,122,244,691,644,
082,049,171,039,641,893,138,449,556,977,854,222,797,402,022,465,859,324,325,
068,108,955,912,539,662,091,579,182,191,304,132,565,609,433,987,018,368,576,
840,593,633,829,949,381,986,024,186,536,179,333,446,077,780,602,875,044,480,
438,253,856,135,268,639,059,368,816,404,360,511,109,155,138,764,925,659,598,
402,417,293,041,591,847,510,079,564,094,637,314,400,858,435,206,310,054,554,
433,483,127,457,205,116,898,867,989,651,011,807,025,010,201,967,207,387,407,
955,579,842,769,471,281,260,109,535,526,911,369,107,405,377,063,506,410,470,
187,398,670,342,044,687,852,845,705,584,910,762,055,501,164,607,448,939,746,
573,939,268,570,147,968,940,911,670,224,882,802,750,161,095,533,218,278,336,
824,128,494,350,253,543,893,670,913,733,097,095,310,144,039,804,198,285,433,
839,836,571,547,221,143,072,096,961,510,868,657,976,533,095,660,960,848,558,
220,822,559,270,855,033,405,798,824,802,029,806,420,356,847,225,086,971,266,
805,162,311,596,614,965,026,225,790,912,667,993,941,957,075,592,917,370,548,
240,266,820,467,331,738,568,158,441,881,949,015,624,518,346,580,240,294,332,
377,410,357,696,507,131,671,812,868,434,371,418,855,712,012,800,691,233,792,
292,031,334,577,062,128,445,209,120,680,549,325,868,678,327,607,572,637,531,
467,008,268,124,002,143,425,148,544,496,542,662,726,278,324,117,547,337,953,
536,964,177,246,786,011,018,960,220,862,219,566,980,624,763,868,543,348,628,
277,362,536,263,650,262,944,629,531,606,576,596,074,308,092,845,480,519,186,
835,521,521,402,761,717,666,036,535,973,708,943,236,097,225,987,215,969,527,
170,053,818,598,931,701,070,975,358,942,702,141,367,350,189,302,635,168,966,
950,251,016,436,272,695,687,911,582,657,578,339,083,980,205,465,978,616,141,
198,530,925,888,109,503,301,152,731,776,942,360,404,014,019,812,585,729,821,
307,849,231,750,388,366,741,700,256,130,817,961,959,670,879,302,019,724,085,
481,415,177,143,210,657,531,300,592,674,527,588,509,287,401,154,857,206,113,
338,370,117,259,419,413,529,516,781,294,481,792,836,166,308,219,264,151,983,
124,695,718,207,284,062,795,061,081,377,420,979,511,710,987,028,769,559,314,
501,776,591,006,542,848,469,574,820,719,548,135,712,648,473,014,122,316,166,
166,776,311,816,162,646,067,570,207,295,421,488,859,678,102,846,725,568,014,
064,834,713,290,814,292,301,884,450,976,030,803,490,252,338,875,537,625,716,
840,830,719,064,495,077,970,259,787,388,229,423,226,853,936,110,418,325,298,
100,196,566,401,532,546,590,370,194,780,932,843,453,505,070,180,726,849,070,
917,030,027,396,152,851,932,039,974,667,056,029,943,717,470,807,501,705,224,
447,251,319,344,450,291,120,454,510,437,331,213,675,365,639,631,453,089,502,
016,764,655,821,988,880,097,347,430,799,960,414,852,794,494,295,713,092,835,
830,494,536,330,834,010,966,495,464,567,358,339,459,273,899,794,964,299,548,
088,411,825,846,005,219,139,157,497,942,547,450,489,406,556,639,276,273,419,
976,564,138,635,777,608,433,462,383,055,079,033,175,680,156,864,414,512,759,
643,262,170,714,023,177,551,893,642,860,645,508,485,776,739,505,034,658,796,
091,760,344,201,521,441,622,757,661,621,783,979,185,965,455,605,719,904,819,
812,808,667,769,702,478,651,858,489,561,686,896,871,789,895,624,300,469,948,
747,161,987,403,533,963,702,815,299,990,381,555,205,276,789,465,909,607,394,
238,500,156,947,965,107,418,146,431,913,394,005,084,219,238,121,970,783,917,
828,919,625,504,347,667,922,411,165,667,049,417,806,619,029,648,582,442,030,
066,158,443,769,884,274,575,018,508,960,902,971,134,336,881,359,853,039,196,
803,082,377,101,593,027,257,462,388,748,725,255,756,255,166,353,926,538,441,
209,558,300,917,688,986,264,669,337,379,814,959,442,789,509,370,477,427,423,
044,441,929,713,552,732,949,322,491,372,363,276,149,183,151,745,496,019,749,
073,489,438,846,513,595,655,764,700,271,359,110,795,217,128,688,693,300,035,
557,261,401,571,514,545,925,627,295,073,394,104,609,735,080,762,006,630,548,
483,938,387,438,712,105,184,551,907,950,833,733,222,301,110,959,071,051,776,
579,931,343,012,789,093,559,434,154,613,189,796,244,449,996,928,560,523,827,
386,890,128,297,440,829,854,913,643,833,206,138,716,801,032,860,204,723,827,
890,385,622,479,508,567,259,010,331,402,546,015,950,216,030,605,456,549,712,
114,323,103,902,128,082,794,264,368,159,561,906,222,190,556,557,011,200,237,
001,875,929,301,904,965,503,597,765,608,251,573,301,102,763,618,204,153,202,
846,611,475,113,340,283,810,052,595,976,045,161,184,555,491,121,404,642,069,
467,365,982,992,477,548,105,217,327,324,019,831,968,617,419,947,857,585,325,
134,120,527,482,719,973,047,295,518,481,168,940,975,758,805,829,451,096,278,
641,552,238,320,941,101,673,020,143,452,211,900,364,007,254,512,694,751,725,
662,537,431,402,019,850,452,608,838,968,949,099,727,653,776,553,788,139,335,
839,315,316,191,661,957,786,924,319,239,034,754,746,227,106,031,528,947,972,
419,326,872,492,642,680,735,357,262,292,658,277,929,493,168,642,194,467,489,
211,953,715,189,872,118,437,572,665,846,757,038,236,604,427,214,609,118,600,
237,110,006,186,429,953,905,952,931,175,899,981,001,060,711,136,183,231,208,
243,380,414,222,640,497,108,199,293,304,849,461,544,443,189,190,884,529,361,
763,310,454,066,019,707,652,155,841,416,133,295,702,060,900,506,794,792,322,
615,242,798,553,098,551,680,084,298,963,824,791,763,494,491,968,806,441,747,
890,635,174,288,059,870,526,475,966,849,559,801,920,148,527,968,351,363,228,
996,735,730,441,011,746,678,091,010,963,677,354,324,870,389,107,076,851,664,
565,390,233,800,780,896,325,314,666,093,065,012,452,351,584,026,162,388,888,
143,571,582,411,867,970,534,072,725,643,621,273,573,162,368,656,051,946,802,
846,343,319,468,912,964,643,667,291,402,304,991,526,093,012,244,628,752,553,
769,069,801,480,244,612,150,702,817,758,329,151,762,557,001,446,175,309,375,
822,097,473,079,539,663,531,823,218,084,962,522,005,927,876,561,601,968,846,
636,591,875,108,463,335,553,418,979,939,758,229,703,784,480,719,982,007,458,
740,067,813,779,435,650,158,468,990,803,083,568,122,250,151,768,642,318,276,
508,330,357,626,085,608,377,719,094,610,974,160,186,702,150,515,058,528,963,
574,275,494,647,066,682,826,712,771,234,904,554,845,269,704,584,794,803,123,
727,639,431,187,103,638,532,456,588,237,766,461,335,588,968,842,815,046,781,
335,915,963,533,158,037,174,278,464,720,131,211,268,850,290,345,576,927,241,
398,211,388,318,202,541,919,173,517,974,173,683,246,873,199,126,889,719,611,
340,718,402,244,146,988,675,155,536,225,777,261,758,087,129,534,232,094,573,
801,967,807,005,388,457,537,325,333,134,646,161,209,311,157,542,276,252,367,
790,685,010,313,701,633,548,485,072,801,839,089,315,204,343,720,969,749,316,
171,028,919,448,527,888,227,103,951,730,127,109,634,205,685,966,161,419,292,
755,687,894,524,341,700,782,298,747,050,366,151,106,539,916,993,178,307,975,
514,426,553,347,923,886,869,066,821,540,548,462,851,323,270,290,766,784,233,
358,676,229,261,048,877,355,545,736,294,159,262,049,079,500,097,589,210,587,
599,524,840,569,239,473,417,832,856,294,985,506,844,388,864,679,781,473,068,
802,634,023,733,367,376,165,665,218,763,634,141,152,299,851,369,692,467,221,
970,351,557,688,121,112,242,635,117,403,342,347,755,759,277,357,694,698,453,
776,241,067,369,406,984,060,296,723,374,015,218,166,882,936,316,969,343,623,
057,450,818,988,130,108,311,910,250,690,638,559,079,832,783,294,870,296,876,
472,056,013,174,731,264,182,883,095,104,939,447,623,390,329,875,843,561,662,
026,608,941,016,964,015,327,486,380,014,297,912,187,842,894,933,701,404,020,
799,545,083,515,457,455,961,695,581,342,154,554,681,091,520,004,709,939,724,
406,232,272,201,099,194,991,568,794,024,687,551,415,164,022,039,072,041,135,
132,976,972,788,337,775,983,157,690,578,778,802,756,596,165,650,812,121,255,
725,715,745,395,839,726,100,279,737,573,757,209,071,716,392,536,739,912,351,
313,472,935,476,289,186,900,965,146,550,713,957,332,775,976,887,234,045,992,
271,960,829,297,075,903,863,956,637,516,147,595,778,526,446,568,779,139,457,
995,397,785,938,658,147,257,579,820,304,718,065,678,545,154,146,323,198,526,
490,279,591,825,860,670,321,595,466,088,791,591,208,800,669,333,987,244,211,
366,886,936,845,564,818,649,496,915,430,311,069,768,496,688,596,460,272,488,
159,814,754,679,946,031,431,543,653,731,620,386,354,940,542,605,200,816,065,
656,921,778,652,694,924,548,762,150,445,947,777,527,220,546,762,644,222,872,
911,781,021,775,682,784,182,687,411,456,469,068,138,083,886,259,283,068,281,
889,391,552,704,565,542,799,009,134,057,543,713,253,439,184,585,189,115,630,
349,145,570,209,492,650,461,923,794,384,805,002,474,339,135,666,727,959,979,
959,786,712,846,636,961,106,874,232,604,561,870,198,264,027,239,548,686,399,
404,647,787,278,794,580,473,030,911,039,246,256,258,533,060,064,333,438,751,
631,622,382,166,980,358,300,881,849,613,432,078,852,705,873,918,448,075,135,
114,395,050,369,608,641,229,066,963,207,592,156,457,359,952,724,283,717,050,
674,522,902,636,443,553,684,253,772,499,042,537,840,783,519,458,968,745,009,
645,930,229,896,499,890,326,689,623,152,666,942,875,308,502,893,919,787,738,
457,586,748,282,542,363,104,268,861,014,515,775,686,770,609,526,780,301,983,
166,437,344,343,908,452,733,640,000,459,403,449,626,852,852,324,738,092,712,
739,348,759,716,392,413,803,704,557,508,475,640,312,883,041,482,932,089,672,
880,940,360,019,342,825,074,289,845,761,422,750,625,534,136,963,770,153,040,
492,312,193,308,526,987,911,274,882,944,378,070,903,728,648,954,513,947,151,
927,537,302,544,903,211,182,448,777,753,059,471,314,945,260,547,280,242,064,
633,575,582,680,367,717,756,880,671,307,652,475,098,178,020,640,645,053,040,
779,225,631,797,585,236,494,956,246,484,025,144,098,437,198,516,228,354,134,
890,825,100,987,182,782,054,314,877,328,465,900,860,684,537,304,440,025,688,
387,794,086,098,543,161,308,362,445,490,955,671,653,072,383,875,268,452,627,
191,608,996,215,693,133,132,296,533,481,454,958,704,995,469,251,082,659,059,
025,180,083,508,351,545,801,581,083,946,908,176,249,995,228,077,926,890,298,
742,109,794,395,947,949,483,585,091,107,312,960,472,521,991,921,772,204,594,
474,160,322,880,874,814,613,308,862,353,458,281,298,044,114,455,449,202,248,
137,900,076,311,323,188,696,407,491,331,915,454,535,805,753,132,227,257,626,
565,380,578,497,876,740,202,616,565,163,026,751,076,749,841,475,582,464,327,
570,199,857,997,751,731,576,626,438,159,799,090,755,562,700,217,240,563,104,
721,341,636,864,886,217,961,498,545,778,559,152,800,650,095,570,995,878,721,
386,103,263,840,640,968,144,246,040,495,788,125,490,387,429,532,639,187,175,
452,215,051,460,312,553,384,738,378,305,010,726,681,908,948,545,982,117,417,
139,194,861,512,364,224,591,102,037,807,289,780,448,856,346,453,110,747,342,
460,604,612,807,313,450,239,752,618,089,470,348,479,201,766,655,119,094,494,
751,011,096,388,311,323,422,871,928,217,875,295,767,079,140,118,245,197,143,
200,430,652,046,881,093,753,646,928,805,483,958,913,992,241,602,369,586,060,
446,914,060,153,036,049,226,152,758,566,261,610,837,298,298,526,081,049,975,
244,853,069,965,622,073,325,173,969,815,875,707,939,817,833,001,387,348,621,
979,804,089,325,782,928,869,666,083,654,652,972,158,266,667,637,523,298,607,
838,005,149,590,263,562,834,217,568,993,814,913,995,522,483,482,120,895,039,
878,392,402,640,977,890,836,460,131,527,917,409,484,004,357,156,221,863,558,
420,402,723,665,833,926,197,704,148,604,081,306,446,034,456,149,050,652,893,
815,531,519,134,388,850,723,455,059,161,891,521,855,368,578,950,081,499,206,
475,101,163,820,033,998,810,189,385,992,507,150,568,332,364,930,451,595,130,
429,362,037,787,925,776,062,809,123,866,920,456,637,308,421,458,281,316,707,
232,259,523,765,114,270,737,962,603,373,166,806,492,511,949,971,573,354,216,
453,829,149,464,769,820,104,218,421,087,573,146,159,177,344,322,261,636,459,
289,878,976,568,324,141,575,718,642,778,953,318,342,785,085,785,961,117,520,
368,493,516,025,931,351,805,717,966,061,387,926,713,095,253,664,186,134,339,
858,946,288,669,998,466,775,696,165,043,364,457,711,200,574,992,233,258,657,
426,751,803,057,366,626,306,647,560,806,578,129,092,895,553,657,245,298,993,
060,167,920,701,628,803,573,666,724,438,432,665,244,984,506,023,709,415,044,
963,277,801,354,648,339,066,159,685,721,045,255,302,911,398,605,851,720,063,
083,193,527,828,613,863,409,002,557,384,487,825,982,733,918,562,572,061,353,
253,254,239,716,819,945,302,590,960,299,889,492,925,516,305,395,066,316,287,
503,328,641,578,196,657,585,005,446,069,506,548,552,934,719,665,799,682,376,
769,959,784,722,372,955,610,141,904,592,387,884,845,249,282,681,320,232,948,
293,122,518,274,226,794,301,160,831,201,505,756,273,919,450,314,464,461,177,
135,335,911,104,531,373,685,293,010,995,873,118,455,415,604,237,801,589,701,
912,649,674,997,354,885,640,044,237,383,912,186,319,858,582,758,101,429,762,
917,379,951,434,309,391,168,039,678,592,089,218,563,612,977,757,765,704,628,
979,330,261,974,722,265,193,735,634,619,683,380,977,236,817,694,715,049,900,
174,589,350,670,879,073,466,278,691,294,731,107,182,464,769,842,725,756,522,
739,221,304,146,268,027,759,223,061,507,553,703,188,365,141,691,395,647,372,
672,666,860,986,568,776,402,837,871,793,194,649,588,801,542,834,786,063,245,
429,840,199,825,837,532,624,634,323,341,810,056,833,721,734,237,571,057,947,
206,348,700,545,162,550,272,476,307,827,977,806,643,810,681,389,700,231,479,
953,810,232,612,466,723,592,560,481,025,584,024,477,292,219,974,404,603,832,
198,262,450,274,616,501,164,477,642,726,419,579,251,406,718,778,330,700,423,
099,638,749,548,188,523,864,194,473,965,101,362,294,464,830,556,787,374,086,
112,119,110,772,028,258,845,998,126,575,202,647,662,890,403,764,222,512,700,
067,482,845,936,600,285,143,416,704,004,899,910,586,699,798,368,737,524,255,
199,134,023,959,356,955,189,549,106,789,211,748,587,929,847,246,228,615,954,
155,617,409,179,116,519,268,816,670,197,927,886,029,696,900,268,376,334,533,
392,771,731,737,040,864,096,378,302,986,801,470,489,109,785,101,791,456,914,
612,397,830,173,951,268,253,732,685,990,453,310,910,812,208,344,366,913,049,
521,526,031,278,205,936,390,282,197,012,632,856,089,772,401,622,705,581,922,
847,903,233,234,021,683,112,172,470,344,194,772,936,152,246,613,494,349,407,
082,669,155,601,323,320,884,804,489,635,700,578,443,215,953,699,454,512,172,
834,990,013,939,170,903,414,133,545,080,462,521,613,552,693,972,752,005,100,
747,208,217,354,761,720,834,030,347,608,704,851,635,327,589,966,998,827,457,
941,386,148,840,045,707,039,348,013,207,479,901,754,834,062,754,680,508,436,
045,118,264,553,743,525,776,851,480,933,930,007,591,413,637,581,418,121,654,
867,642,082,858,993,904,691,494,481,810,075,719,722,970,106,064,515,713,184,
630,511,050,207,425,580,295,473,339,620,165,899,397,803,636,499,385,410,412,
278,072,800,484,646,087,182,964,128,912,517,311,500,169,808,201,553,883,874,
100,971,211,131,980,041,310,184,802,358,262,146,943,230,774,026,172,278,875,
000,311,208,393,629,453,342,994,346,160,561,374,739,145,614,070,225,516,211,
739,062,600,227,222,418,674,639,667,953,737,775,142,445,184,450,693,815,324,
739,432,480,896,309,238,431,230,232,700,694,149,878,269,802,770,366,859,484,
993,997,668,614,750,595,231,885,749,109,759,437,290,691,434,655,744,957,305,
709,292,517,439,400,468,956,758,270,154,743,501,430,968,997,753,409,222,281,
366,714,622,139,215,742,083,983,188,555,642,972,693,483,142,117,589,383,717,
789,490,012,803,780,407,896,040,809,749,557,818,250,266,736,966,080,824,103,
542,170,855,956,175,839,236,290,427,584,648,250,273,270,645,639,714,024,629,
192,868,447,770,273,434,458,982,865,291,811,019,293,403,469,158,216,587,943,
141,497,737,042,876,418,450,475,569,743,867,289,782,467,491,524,998,520,025,
927,890,945,464,143,873,164,451,958,385,245,193,266,837,149,941,709,280,350,
137,497,388,277,996,110,882,586,855,519,517,030,159,678,304,881,808,946,179,
788,100,855,210,963,441,860,580,249,350,749,308,899,924,366,590,113,916,881,
080,604,920,717,355,857,238,107,944,439,854,093,328,981,855,177,052,656,805,
305,889,868,024,355,848,543,848,153,976,308,874,271,976,862,054,678,114,669,
288,562,391,941,896,115,312,807,661,130,735,662,986,904,770,867,752,225,489,
859,010,894,944,166,206,043,997,605,995,624,095,348,272,577,709,678,310,983,
573,642,809,290,487,613,495,842,532,348,066,240,261,848,334,781,128,968,047,
082,384,173,944,813,998,175,359,397,225,606,919,111,808,378,106,624,136,999,
024,042,073,648,146,115,405,467,604,930,307,020,247,901,600,998,812,237,880,
145,201,962,749,502,767,913,775,423,407,038,885,591,323,347,492,854,154,294,
366,916,026,331,069,877,310,672,625,133,690,413,870,143,766,147,282,163,988,
833,128,725,378,959,051,976,301,092,800,376,713,659,720,303,542,579,756,408,
615,854,547,108,968,890,137,291,163,548,531,723,830,336,050,785,365,557,874,
581,401,182,246,150,251,299,017,721,536,344,699,255,153,752,036,420,404,957,
945,626,364,645,161,861,979,089,803,560,523,605,492,973,707,086,188,647,594,
641,920,051,068,875,843,531,009,759,681,696,784,844,131,239,026,449,850,401,
805,645,149,545,476,290,934,701,414,295,172,795,649,580,364,917,153,449,966,
671,654,535,195,853,599,249,869,006,859,873,471,326,310,098,027,438,342,848,
717,594,336,963,438,562,589,970,879,636,948,591,758,974,596,517,449,721,912,
377,755,274,904,335,727,782,759,671,596,300,939,302,410,156,890,734,882,927,
147,798,143,346,068,333,108,557,845,899,119,328,051,158,143,532,730,818,399,
773,547,219,321,053,097,119,059,993,499,514,705,007,928,730,649,594,859,133,
874,842,726,440,718,843,125,085,131,229,353,330,818,030,311,796,048,616,329,
672,569,492,318,797,130,167,999,200,158,090,451,402,082,423,536,780,284,861,
131,219,892,116,030,419,612,393,001,426,950,832,183,942,678,540,270,390,003,
265,446,304,414,464,596,326,897,304,222,544,198,939,351,677,974,710,582,810,
899,544,733,494,407,532,250,878,083,121,367,849,841,967,708,401,373,622,737,
047,217,215,479,357,862,058,716,894,009,619,138,778,741,233,232,522,845,344,
046,585,386,266,975,570,211,354,251,754,736,733,847,083,591,694,066,296,571,
027,196,402,218,762,710,972,766,915,309,573,409,730,505,699,208,759,609,218,
067,837,022,384,122,719,281,442,474,645,012,031,275,229,552,849,252,457,785,
367,900,738,263,626,259,669,973,420,206,163,288,554,515,509,709,964,513,296,
323,125,968,775,712,122,810,253,531,120,810,777,975,596,530,164,941,834,138,
598,233,206,590,938,474,171,179,156,794,991,049,018,204,730,392,746,480,025,
470,909,205,652,937,518,152,120,820,729,674,885,020,643,286,128,032,798,783,
247,781,368,102,146,288,602,157,743,638,813,186,718,901,819,054,515,312,959,
602,175,282,931,134,379,818,502,172,868,959,784,271,100,626,959,544,052,344,
807,993,155,522,428,589,740,191,085,854,029,942,096,447,114,267,404,525,124,
354,474,212,777,999,733,915,056,087,960,053,542,056,522,941,538,624,924,280,
889,824,360,613,175,897,298,021,640,523,258,832,105,534,473,164,886,898,443,
409,048,898,294,858,095,634,797,478,976,366,062,625,365,466,818,177,254,237,
568,466,677,524,573,836,191,258,298,160,884,648,756,821,554,296,538,823,817,
674,042,203,859,832,582,281,409,461,836,736,286,865,366,481,756,741,723,296,
142,805,897,898,713,439,021,632,198,237,285,444,502,553,056,276,378,555,503,
922,638,087,829,787,538,020,688,094,053,161,202,444,114,059,312,034,337,428,
939,668,063,985,197,749,842,971,243,132,791,348,686,205,440,167,930,245,840,
512,860,288,688,638,890,143,296,604,384,931,466,649,866,226,460,671,852,745,
232,251,448,896,305,702,564,429,090,517,444,178,718,569,367,354,795,304,469,
040,097,053,193,470,652,028,722,006,686,182,658,623,538,226,342,069,493,582,
703,241,938,513,735,123,629,575,249,870,747,850,338,774,285,134,037,669,303,
280,087,089,190,333,717,174,899,898,420,177,309,719,905,408,036,207,467,244,
879,364,173,826,001,567,921,388,406,111,685,724,602,450,759,595,469,945,843,
725,335,959,250,928,656,639,481,483,806,026,409,513,695,908,524,795,827,934,
265,781,390,124,577,245,418,656,049,428,790,292,557,283,505,170,529,881,861,
652,456,106,622,689,565,071,656,047,251,358,004,688,858,339,709,226,717,553,
971,229,342,980,921,403,429,386,078,849,961,076,080,012,256,838,578,013,750,
240,478,598,086,756,201,286,189,761,955,847,958,892,977,517,230,925,616,390,
110,301,864,975,328,373,199,984,804,739,738,120,279,397,570,563,749,397,285,
371,180,810,856,402,662,331,131,490,901,727,042,901,784,099,942,929,416,808,
356,203,506,350,017,016,323,084,374,533,683,854,909,284,220,062,822,451,217,
006,499,738,575,677,111,888,117,959,694,363,351,632,631,302,065,240,868,400,
235,006,411,159,337,999,261,671,912,234,421,287,782,234,643,161,747,926,361,
401,982,184,746,456,720,239,408,279,101,990,716,232,855,944,669,403,055,126,
420,093,035,934,002,327,789,619,710,767,556,887,463,869,987,488,348,232,321,
051,830,112,777,560,677,497,248,996,878,557,756,561,211,492,409,452,722,799,
849,112,438,818,350,059,154,736,769,101,255,427,869,920,065,983,256,664,116,
243,679,595,375,121,461,911,743,653,394,275,818,500,031,805,663,344,771,073,
195,455,014,354,322,056,622,031,243,335,373,954,123,301,335,939,494,664,376,
379,655,119,484,688,043,165,137,046,449,689,732,891,633,463,645,786,197,625,
652,367,628,947,037,392,178,854,046,561,601,245,714,341,900,554,423,116,175,
003,046,410,736,413,112,568,134,203,194,859,861,133,430,365,257,972,456,412,
813,654,090,827,543,393,326,017,759,479,567,273,595,415,048,696,466,963,961,
266,410,147,081,403,250,178,928,474,553,756,430,551,870,518,101,872,635,563,
014,585,133,522,671,787,220,433,149,867,693,665,853,999,501,400,459,548,518,
125,460,297,144,218,383,373,714,170,762,033,283,106,805,109,875,197,177,870,
747,426,979,412,293,954,273,961,029,982,275,428,935,476,419,903,515,863,794,
559,131,405,492,614,961,610,954,501,216,181,455,508,845,930,455,710,448,594,
570,050,240,561,256,191,807,350,834,783,776,101,980,445,728,753,792,323,051,
948,606,665,061,445,682,254,187,585,370,641,449,096,480,376,733,870,153,048,
823,090,177,596,006,709,985,516,351,897,801,719,343,677,307,424,107,195,585,
517,013,549,390,134,118,400,907,045,082,506,669,444,529,195,501,876,912,607,
355,008,996,842,389,320,340,972,853,247,230,579,079,990,341,366,826,339,988,
886,847,892,904,124,830,081,292,625,281,619,212,940,291,792,629,572,618,862,
146,146,985,836,622,493,902,409,799,769,829,576,349,174,626,775,486,103,510,
012,318,084,046,499,156,930,221,026,046,334,163,281,108,780,498,724,424,461,
126,571,795,645,283,664,045,165,199,039,712,914,828,426,570,561,870,967,198,
633,511,558,129,775,692,413,607,920,974,993,649,715,482,987,076,185,445,311,
737,472,567,786,672,341,906,665,979,804,361,779,809,819,874,519,514,147,977,
997,565,958,861,958,701,085,299,083,044,013,412,731,072,116,741,242,676,029,
360,053,961,691,030,107,992,230,583,536,594,703,910,469,249,436,892,756,551,
656,031,146,922,068,267,570,630,765,060,178,188,058,919,584,268,114,201,547,
531,624,762,059,370,703,293,738,053,524,981,584,834,502,983,785,685,206,477,
175,707,458,097,685,725,155,839,842,105,258,506,823,604,522,644,491,707,561,
386,417,274,302,034,191,326,117,610,928,405,516,159,294,875,538,175,389,164,
375,574,302,677,754,659,044,282,860,247,982,510,219,376,358,099,547,344,439,
023,433,884,579,848,837,339,129,815,966,915,463,505,918,860,949,582,884,314,
630,022,322,449,535,259,658,371,223,899,233,434,620,342,069,522,763,413,953,
583,261,899,201,823,726,741,263,839,806,752,745,221,912,861,023,379,793,308,
721,688,824,779,041,349,430,484,112,090,924,161,324,065,382,724,571,149,620,
447,606,964,669,995,084,460,486,405,004,063,248,299,111,920,859,023,304,196,
533,221,932,727,268,817,130,460,656,037,233,719,008,647,705,424,394,232,298,
973,868,451,218,268,799,694,546,362,574,047,631,727,291,944,845,364,523,259,
660,218,477,846,869,589,591,438,304,063,214,783,096,794,319,409,805,882,616,
769,295,405,541,677,993,813,242,838,111,773,995,023,076,926,791,892,087,508,
339,389,072,260,502,396,918,593,773,370,369,068,264,195,041,402,506,442,177,
909,229,765,756,760,802,341,746,563,250,465,509,583,170,515,324,361,121,872,
586,976,392,548,335,284,737,269,296,839,814,351,786,474,741,404,182,273,364,
488,807,833,267,090,863,532,948,850,327,448,077,439,589,024,862,144,234,142,
103,740,475,210,348,360,604,172,693,216,131,165,656,072,725,692,398,348,740,
982,200,074,984,171,938,594,264,969,295,301,470,517,052,653,995,985,219,439,
819,740,166,809,626,955,031,394,831,951,578,366,297,720,572,362,564,788,397,
324,255,476,011,929,965,271,709,118,325,717,608,444,259,544,206,704,937,187,
467,348,303,106,546,912,336,545,544,426,713,366,977,472,883,101,368,114,248,
338,224,403,074,451,881,368,433,086,594,395,480,528,205,327,610,780,028,512,
440,095,284,608,586,983,027,366,961,573,884,771,802,436,855,606,127,424,170,
467,649,746,922,542,957,810,038,141,845,705,815,696,753,362,257,279,881,808,
805,786,391,476,821,202,496,093,065,737,616,808,192,640,586,712,440,606,410,
686,670,767,885,677,273,312,581,120,449,437,353,829,542,081,373,925,835,954,
772,701,560,617,258,195,874,371,028,192,104,794,795,728,485,047,568,378,078,
395,362,905,346,504,966,250,480,339,715,644,257,871,762,519,002,282,875,283,
934,929,096,913,818,747,536,771,055,351,093,120,628,013,475,239,507,379,408,
136,074,198,159,664,014,701,639,560,663,492,164,578,985,720,082,012,931,928,
763,507,017,230,688,470,078,182,788,521,259,398,352,374,489,476,933,249,220,
469,122,339,600,777,759,885,981,117,918,242,586,770,656,166,608,028,221,788,
839,417,279,004,466,579,063,566,771,553,738,688,094,598,211,137,926,705,612,
318,352,291,372,460,208,833,517,419,714,384,056,750,872,551,346,970,435,520,
091,448,628,144,467,548,216,077,795,347,921,291,537,417,113,500,123,088,402,
164,221,425,819,245,995,211,130,076,926,305,707,999,465,297,234,146,717,178,
139,915,335,160,429,424,955,288,757,010,370,594,795,207,300,932,193,422,000,
992,319,859,469,083,795,303,399,246,120,295,037,574,593,838,770,219,691,195,
153,963,575,514,842,543,543,005,311,868,980,676,201,973,194,957,597,100,980,
976,666,137,853,700,116,020,829,929,824,377,001,490,458,630,647,708,517,677,
931,582,217,096,732,686,784,486,618,710,597,071,672,409,921,790,849,861,389,
995,931,611,957,117,667,194,987,252,682,228,252,330,534,151,477,036,696,120,
511,837,232,815,239,248,932,044,697,364,556,891,176,336,064,182,780,488,428,
929,012,057,771,245,968,666,883,717,190,535,401,477,300,520,313,617,066,118,
909,335,031,715,944,973,785,004,702,812,114,817,891,615,705,012,232,829,672,
795,554,000,455,446,605,352,403,154,826,453,748,749,914,893,493,935,746,784,
278,434,267,693,750,503,695,646,058,480,798,185,112,762,866,982,771,066,366,
915,005,479,864,992,710,059,126,619,933,185,850,687,655,148,979,030,862,458,
133,485,739,002,875,694,012,853,235,891,504,682,791,019,372,805,174,702,709,
330,789,836,635,048,484,932,008,141,088,445,256,935,611,124,369,268,205,325,
504,222,301,352,686,437,244,546,037,295,549,821,933,359,525,579,719,335,648,
581,016,387,742,546,576,090,740,941,520,735,351,578,004,358,642,801,780,498,
822,637,156,469,347,353,673,411,635,685,778,701,942,066,623,168,595,909,622,
475,660,163,936,874,132,288,633,643,383,074,997,346,218,874,418,841,666,625,
078,878,186,988,509,441,929,547,447,287,131,476,849,363,819,823,495,681,839,
432,892,821,895,143,779,638,490,704,634,695,906,783,417,368,951,122,084,222,
289,408,517,210,200,491,978,398,759,561,884,959,976,526,146,665,575,022,910,
818,334,611,842,136,725,959,790,940,505,508,923,973,663,243,409,105,710,669,
087,485,257,834,339,523,979,370,402,991,980,339,894,650,801,868,423,903,532,
640,101,019,576,307,412,849,887,681,965,556,809,738,781,993,346,974,662,161,
427,128,560,869,687,855,373,678,334,299,743,273,548,307,313,330,597,593,258,
372,938,427,211,311,347,674,947,717,628,421,357,980,966,541,338,054,149,454,
615,080,654,377,900,568,344,824,684,093,222,700,867,551,535,306,301,436,352,
702,902,594,369,515,633,706,406,962,539,708,872,462,219,139,333,734,969,123,
527,791,418,631,400,056,513,521,486,961,027,826,283,192,162,988,654,722,291,
214,263,242,624,949,457,223,904,588,668,519,216,581,950,021,897,492,080,221,
798,290,867,597,529,774,653,491,642,603,875,984,508,772,304,819,602,298,952,
097,317,918,067,233,360,040,365,383,878,113,063,109,766,142,578,722,581,248,
962,620,570,638,813,885,801,996,683,367,640,371,300,615,206,715,743,597,739,
522,516,358,373,918,493,723,659,207,787,995,350,389,066,707,260,986,456,364,
000,768,850,146,054,921,953,945,435,763,010,984,161,102,581,959,936,677,656,
222,401,783,497,326,392,002,517,930,024,055,083,061,915,955,590,019,252,996,
312,489,836,309,207,052,267,348,557,706,019,062,672,139,285,790,039,571,877,
384,657,730,508,439,431,380,676,874,820,645,399,798,338,677,412,174,262,427,
093,594,718,029,296,782,666,939,343,444,561,932,156,670,590,261,752,503,903,
964,148,640,185,114,196,045,153,694,405,055,587,563,886,687,737,159,622,047,
511,604,813,164,630,215,638,581,922,718,634,775,926,612,544,631,452,930,812,
042,061,847,720,635,486,561,929,451,084,139,082,410,179,081,185,778,807,190,
391,928,322,854,058,025,889,782,776,709,592,709,611,950,476,234,808,848,652,
858,645,411,661,308,394,957,047,316,618,376,051,269,852,259,640,754,744,121,
911,490,338,616,343,695,823,450,851,654,338,300,242,810,018,377,425,896,666,
653,202,354,031,915,125,470,144,025,588,758,690,183,438,356,475,901,727,383,
526,661,286,127,512,513,484,429,936,473,700,759,460,662,692,841,838,468,903,
626,650,905,301,479,381,216,991,239,585,543,637,701,656,728,831,769,010,951,
595,505,987,769,579,256,979,469,658,964,356,833,177,241,649,597,971,526,558,
449,242,928,375,407,932,094,653,152,657,734,333,563,836,372,738,032,970,130,
215,229,269,598,962,596,480,598,408,210,278,787,305,976,559,523,790,362,775,
547,334,502,026,594,890,326,367,550,359,003,446,053,451,186,103,223,337,892,
735,900,780,520,274,465,422,924,298,999,135,808,845,826,960,178,397,537,510,
925,520,547,632,084,102,272,867,063,378,558,838,045,437,391,990,682,057,388,
030,975,899,722,185,521,988,897,233,488,989,371,622,343,335,693,086,454,584,
929,328,616,927,335,146,274,603,427,468,343,776,987,230,064,009,535,143,153,
595,615,718,608,684,560,289,034,851,967,200,221,547,969,282,208,525,600,246,
647,541,637,722,091,471,435,669,825,955,111,137,635,960,019,787,981,279,586,
182,649,463,152,764,540,827,374,449,934,243,964,857,990,346,191,485,626,690,
566,479,805,658,692,385,020,857,522,073,406,143,803,330,959,419,581,706,537,
167,157,080,259,976,909,081,198,265,420,283,193,970,826,062,479,934,624,123,
416,983,802,485,228,455,141,436,441,158,125,583,655,869,254,839,983,877,464,
803,342,846,635,889,713,568,039,315,187,907,087,830,274,630,611,728,964,943,
087,387,999,188,634,537,572,946,395,692,610,049,653,485,917,023,565,774,640,
494,838,392,385,979,940,903,209,322,872,783,093,032,560,988,553,391,414,068,
544,132,138,384,259,555,350,652,039,296,567,686,351,865,257,413,354,510,712,
669,237,257,270,466,018,568,275,998,577,248,161,834,004,777,319,671,071,347,
335,330,173,701,344,673,712,444,992,139,579,237,186,901,985,630,544,968,276,
098,831,889,235,881,141,809,584,903,305,184,361,457,175,463,693,824,846,595,
261,139,425,223,081,560,268,234,043,911,641,566,811,628,134,758,214,464,636,
069,325,213,874,103,804,498,020,457,191,053,638,249,653,812,645,002,989,180,
685,804,322,066,261,425,419,347,674,623,749,290,470,312,532,466,958,152,007,
077,262,181,474,083,267,622,791,077,880,895,992,630,503,947,538,195,643,846,
684,396,426,654,677,686,526,090,014,474,066,161,717,012,380,507,193,608,172,
832,090,374,075,326,539,881,775,513,128,925,939,561,294,974,498,641,706,416,
060,407,199,560,817,230,650,035,231,745,380,023,802,501,423,244,251,872,014,
447,082,505,091,132,410,264,686,111,390,077,532,921,635,783,891,331,334,540,
371,422,298,704,516,106,196,824,036,312,792,496,734,995,097,860,698,845,178,
643,383,321,251,419,243,852,659,503,429,895,383,264,587,432,641,730,398,593,
094,279,650,904,723,148,988,904,466,564,551,738,921,185,116,703,482,928,634,
738,793,891,483,211,903,802,834,778,018,926,620,085,120,771,331,537,266,439,
349,769,157,251,060,392,861,814,967,944,706,157,681,895,030,857,770,613,059,
284,588,315,225,792,551,203,346,141,153,655,082,859,265,915,278,974,335,570,
495,634,119,981,675,673,597,793,324,352,082,492,451,847,730,970,697,214,289,
373,639,515,199,133,397,109,171,544,421,802,978,389,820,622,262,983,813,498,
127,920,435,443,954,749,781,635,248,419,174,960,130,096,128,216,316,592,167,
554,813,707,124,696,218,947,226,904,505,873,981,267,714,837,441,753,252,339,
805,251,827,809,018,264,941,102,792,519,120,035,422,712,366,353,150,984,481,
377,582,005,399,755,611,222,078,427,899,481,837,903,067,525,160,401,016,733,
206,538,661,933,576,465,131,633,240,207,021,260,851,826,549,954,626,567,965,
877,201,658,618,853,005,435,598,533,280,902,071,736,561,048,765,062,547,530,
248,650,691,741,663,198,317,103,789,581,288,691,069,383,491,531,548,757,311,
569,344,264,696,911,391,962,121,049,922,427,097,602,522,079,151,644,289,421,
638,763,390,523,143,070,044,185,664,924,904,999,407,817,333,317,435,240,699,
794,003,935,640,406,997,795,662,513,441,458,433,141,406,224,479,201,394,828,
070,829,766,515,361,630,156,837,955,543,361,424,311,410,589,018,935,471,050,
387,641,517,283,851,388,711,537,552,030,307,173,196,586,296,935,122,384,238,
488,671,257,173,828,785,183,380,383,090,980,640,210,742,657,271,575,248,405,
468,049,388,501,424,122,756,870,691,087,027,255,645,301,382,794,004,652,580,
395,575,708,855,679,063,081,767,662,531,291,376,815,817,948,917,691,266,025,
510,595,680,345,296,655,014,795,263,908,017,655,223,832,643,746,774,720,246,
873,303,593,826,388,133,630,931,706,340,540,472,342,299,563,168,693,474,951,
522,492,018,364,296,601,631,776,992,397,802,153,550,959,434,776,732,168,603,
352,642,223,715,303,290,437,825,380,799,417,821,199,291,540,372,931,493,726,
104,888,979,634,724,086,163,915,348,820,739,426,105,949,562,982,998,475,244,
813,204,531,965,328,737,800,280,869,395,883,652,837,462,299,311,989,887,599,
832,802,370,784,252,280,687,643,484,981,513,255,257,755,195,075,681,877,862,
120,857,248,411,283,428,244,147,567,721,710,626,968,160,412,708,625,371,071,
694,448,523,997,234,484,702,078,633,255,784,299,667,561,813,251,162,511,591,
287,949,839,590,537,304,594,797,183,554,084,723,680,741,640,739,035,781,172,
742,987,832,572,643,200,647,041,103,258,794,367,027,670,296,914,400,324,600,
592,457,992,531,959,764,008,944,540,661,211,685,042,420,920,037,952,249,448,
244,919,292,331,695,406,712,160,032,878,172,001,491,561,487,218,211,621,660,
338,284,097,138,063,254,919,964,511,793,061,054,104,107,811,049,762,728,610,
412,942,577,813,835,831,711,085,836,242,226,179,301,247,872,310,460,937,723,
937,891,455,548,175,319,369,693,277,102,423,151,203,402,262,086,293,824,753,
031,706,392,021,387,467,160,557,580,974,102,916,573,051,161,787,560,498,228,
471,541,339,041,854,501,114,614,105,826,207,301,282,522,233,695,770,090,202,
126,599,265,606,561,497,252,261,205,783,013,565,488,863,518,459,179,652,506,
004,007,557,077,754,059,098,710,949,008,326,278,552,042,463,609,301,319,490,
224,333,566,724,600,908,170,626,639,239,538,805,584,351,714,436,239,807,998,
920,120,039,690,234,137,785,889,437,960,103,528,048,202,591,122,132,273,682,
182,863,845,008,283,808,351,678,676,777,091,233,665,410,859,412,688,896,898,
275,286,845,109,759,574,262,764,085,305,818,286,514,658,666,896,613,413,081,
903,442,843,913,354,169,220,125,503,709,008,123,612,755,457,724,594,634,628,
505,242,431,641,399,338,569,718,316,521,236,833,034,030,973,552,055,339,850,
378,675,261,118,414,982,022,644,558,811,892,966,336,737,209,913,785,568,963,
277,346,462,774,971,901,802,024,146,826,507,365,376,297,454,367,119,640,554,
169,822,111,219,956,879,209,212,660,184,345,934,324,583,820,208,901,184,002,
327,490,792,966,629,614,138,653,133,273,856,692,349,878,280,048,005,354,769,
089,879,446,644,237,319,092,566,666,457,533,101,473,520,472,942,596,627,234,
154,174,621,427,372,055,861,791,201,774,645,908,025,259,425,334,328,099,686,
492,006,021,474,229,452,982,181,038,836,311,296,014,744,610,424,655,085,154,
859,867,634,138,723,674,463,855,657,108,930,375,174,984,793,009,276,187,749,
992,156,547,502,437,736,472,468,951,785,242,965,597,513,240,200,702,325,544,
775,977,631,035,078,379,580,135,103,770,787,633,997,465,321,637,778,483,423,
610,379,103,042,669,781,643,941,959,393,646,900,974,377,488,211,002,150,851,
369,767,933,882,141,945,824,336,497,440,977,307,282,958,205,145,023,836,809,
754,298,257,056,888,602,582,230,464,552,686,915,861,750,024,168,452,429,306,
739,296,256,597,022,570,610,839,365,156,343,890,980,657,116,079,301,543,689,
718,983,060,066,617,828,244,458,454,136,965,647,828,280,891,759,832,570,112,
788,583,154,494,106,509,560,486,105,501,977,262,310,665,314,957,790,190,946,
931,784,037,528,298,660,593,443,730,445,935,149,544,165,665,483,593,555,990,
574,522,674,769,538,261,062,000,689,027,437,737,120,836,503,629,484,172,499,
471,818,952,042,490,047,879,508,028,060,344,325,731,968,337,445,769,659,966,
059,178,093,501,451,816,397,790,499,001,888,886,600,908,532,527,995,848,640,
413,063,536,674,349,348,332,410,387,378,038,875,458,349,166,178,227,954,177,
367,913,634,807,170,341,863,870,090,073,890,243,003,841,049,926,560,985,762,
519,908,973,192,696,898,383,011,543,203,248,413,360,121,761,127,676,787,803,
942,041,116,107,457,180,978,647,056,399,831,902,456,906,984,303,247,715,773,
092,004,984,844,865,310,019,435,608,387,920,121,242,526,921,312,036,351,136,
981,331,228,597,305,555,678,826,985,165,089,675,187,408,619,783,144,790,816,
589,415,121,350,766,105,146,970,878,151,492,231,032,278,257,510,954,904,454,
145,926,863,077,626,387,288,481,354,731,540,164,572,449,444,318,285,726,612,
369,243,201,429,840,639,256,629,226,813,572,587,990,032,047,269,884,907,679,
144,557,559,647,306,476,882,147,767,559,434,705,406,806,054,731,362,769,879,
801,873,815,266,881,275,410,066,829,483,391,692,305,612,898,679,243,832,707,
463,051,217,740,236,342,032,990,468,651,059,454,823,075,854,687,573,444,970,
044,829,259,008,033,795,450,630,904,962,144,017,187,443,329,349,781,237,435,
364,583,969,644,498,476,769,050,856,759,751,269,889,658,546,986,231,107,035,
101,836,660,555,327,826,977,803,705,547,203,018,189,673,158,491,134,263,714,
307,228,844,257,947,867,293,232,959,932,088,606,482,899,734,885,758,718,782,
817,052,365,545,419,184,985,274,313,804,224,527,006,280,940,623,221,991,807,
511,838,241,315,227,095,270,578,609,322,868,420,594,765,144,029,781,677,023,
281,345,005,727,863,753,885,538,681,980,778,011,626,081,655,247,428,963,640,
812,917,973,571,030,648,328,339,755,565,530,996,761,361,818,271,485,835,530,
524,605,445,723,659,038,289,098,362,607,725,016,178,959,574,478,112,773,781,
536,840,720,791,041,242,573,026,133,170,086,098,916,351,604,541,445,930,053,
180,544,884,704,005,317,756,663,756,408,119,796,397,067,494,565,131,225,624,
992,598,033,221,184,981,316,150,140,291,357,071,607,263,036,552,706,259,006,
474,919,051,414,703,857,868,167,816,980,300,163,729,407,631,464,489,499,360,
445,717,386,650,737,197,623,915,510,880,911,703,210,140,877,737,166,096,853,
456,575,575,294,776,520,335,773,942,478,517,524,589,118,761,648,533,514,526,
695,368,859,268,297,558,306,411,429,164,469,925,505,912,111,568,334,362,596,
377,682,872,535,562,523,529,579,167,111,037,360,154,184,370,975,775,044,032,
206,069,109,519,023,889,418,783,368,158,507,828,918,959,153,168,946,862,697,
759,108,570,192,701,639,906,192,035,091,055,088,195,241,533,586,208,298,457,
667,699,864,991,788,073,080,616,414,174,988,234,525,080,369,255,068,760,891,
574,147,437,975,290,681,652,383,823,048,471,678,501,916,413,066,625,511,484,
972,211,475,327,486,169,587,921,302,188,639,761,719,936,041,781,860,154,247,
806,391,584,420,023,753,089,450,075,327,220,284,839,715,073,422,549,989,228,
436,468,916,652,845,488,513,753,448,056,531,674,425,289,077,206,151,421,063,
291,966,745,075,793,822,528,694,749,157,273,118,512,660,803,195,897,220,022,
974,069,587,194,077,803,969,971,165,515,100,594,482,849,478,106,029,004,030,
461,958,925,857,940,194,494,754,960,319,969,027,207,386,956,546,424,235,738,
309,302,217,373,673,032,654,912,533,804,279,133,273,901,474,787,052,851,784,
680,030,551,193,176,157,139,342,557,476,940,015,779,224,502,112,064,903,520,
628,370,905,196,004,342,004,569,248,817,022,905,849,935,063,120,145,362,357,
256,095,546,849,894,518,965,845,517,582,893,089,185,864,020,815,220,661,064,
763,181,443,769,688,622,932,890,960,221,797,620,026,382,411,079,259,289,140,
939,869,510,553,165,358,207,648,156,963,682,849,890,271,611,539,401,517,723,
468,115,865,798,700,011,928,717,978,647,398,642,154,194,800,402,930,857,308,
853,047,262,142,399,173,592,849,381,208,308,009,114,558,344,479,485,941,068,
627,020,403,283,772,651,110,746,258,507,073,010,069,697,304,006,131,339,624,
738,742,131,979,014,674,974,548,134,307,385,006,145,673,691,042,168,828,943,
190,173,791,418,404,021,319,445,960,992,404,101,860,561,287,878,540,271,240,
681,979,180,058,236,884,687,049,261,506,661,169,692,487,048,548,933,671,544,
161,617,851,820,553,887,532,449,854,517,103,578,903,676,390,067,371,820,644,
223,106,326,057,766,468,358,587,501,399,295,460,455,497,396,574,148,299,164,
914,794,602,997,118,480,996,181,777,633,710,296,351,952,588,428,602,053,094,
249,149,711,342,136,334,632,351,518,231,671,839,446,996,495,767,930,712,532,
669,749,940,981,688,079,750,630,470,639,956,985,644,411,966,369,170,450,622,
575,274,219,260,079,627,777,135,402,567,640,124,855,815,534,732,898,472,702,
769,875,439,710,395,993,868,341,941,216,677,930,884,247,807,005,859,385,166,
570,839,965,186,871,494,458,810,847,974,058,700,972,370,929,380,569,944,619,
530,234,270,845,574,964,533,598,753,989,149,713,644,590,482,026,549,075,891,
393,436,844,819,921,395,063,964,741,773,614,290,008,413,477,813,358,405,966,
385,503,294,778,786,430,173,873,868,738,210,200,920,370,619,240,435,499,037,
311,949,279,846,160,526,499,981,299,389,394,280,782,242,751,734,173,863,878,
350,714,709,744,759,962,402,553,304,104,739,542,759,317,806,927,961,080,158,
917,037,093,760,273,600,683,636,663,921,859,393,105,021,104,261,515,345,731,
400,750,140,678,517,045,775,260,228,054,369,806,379,380,395,950,220,294,345,
577,400,152,425,509,225,795,231,065,655,433,193,713,970,410,746,518,531,991,
731,736,750,656,178,781,835,850,829,200,751,169,283,292,684,736,174,919,320,
508,526,036,696,814,104,901,699,198,031,411,608,242,301,160,306,008,478,409,
866,021,487,187,549,636,097,078,176,249,735,364,255,166,033,993,669,965,116,
277,810,369,909,349,377,899,545,395,547,483,698,827,527,297,881,486,085,502,
107,586,238,824,086,297,030,503,810,456,065,670,774,410,389,784,789,555,169,
074,739,506,124,772,798,658,197,342,790,564,964,605,421,470,044,423,302,749,
891,955,507,801,028,836,912,497,191,676,732,702,209,411,488,985,686,375,157,
789,167,606,894,569,111,797,770,292,566,237,892,429,392,564,610,118,994,837,
704,242,009,682,573,328,316,678,782,612,498,503,665,364,877,782,700,274,734,
907,482,098,875,797,308,723,462,730,445,056,566,509,807,110,519,046,157,095,
592,010,009,991,145,801,698,034,171,878,036,169,197,074,056,111,276,926,073,
918,275,285,039,273,687,709,723,185,317,010,652,372,800,382,608,125,146,834,
362,143,289,160,590,745,415,610,450,844,872,273,914,055,100,853,959,395,297,
774,079,309,086,879,160,890,194,728,152,471,623,375,380,114,247,167,446,486,
068,406,604,753,443,123,060,433,715,387,443,127,033,055,472,793,304,693,485,
643,229,119,969,449,454,215,308,355,137,691,143,524,331,254,813,036,341,426,
920,212,088,598,802,297,905,999,098,360,774,160,003,170,410,697,455,848,787,
326,500,802,209,367,121,397,121,788,884,883,427,537,230,732,379,939,658,452,
352,381,407,832,379,502,484,652,241,055,345,233,623,054,593,730,778,759,323,
326,680,373,111,105,822,992,339,159,548,193,907,116,471,650,979,556,672,388,
554,337,324,913,070,622,147,952,836,647,345,991,043,183,627,757,951,256,049,
718,040,154,834,977,636,359,140,841,265,033,319,573,197,215,821,779,878,203,
739,095,987,727,807,950,479,958,293,172,236,770,295,220,156,101,521,759,427,
635,529,889,572,774,898,742,415,992,478,569,861,705,035,479,693,784,082,054,
773,690,360,814,854,143,765,206,088,168,157,289,383,556,208,238,407,692,822,
641,828,692,084,938,214,644,493,816,184,611,234,835,519,524,059,166,276,655,
547,897,295,496,411,915,725,522,434,741,631,814,910,360,382,616,747,639,948,
198,648,933,232,656,037,453,907,492,837,999,603,667,418,703,727,400,677,342,
077,434,029,300,390,480,116,842,972,915,664,512,326,055,054,294,345,392,829,
141,383,726,758,635,276,492,259,660,044,948,066,710,005,240,100,798,319,181,
663,509,531,202,564,786,921,205,835,282,098,686,506,016,808,887,839,431,578,
610,706,617,378,214,966,409,456,472,829,410,426,898,403,846,739,916,431,686,
989,074,450,563,496,059,481,501,301,248,978,551,643,677,691,013,102,800,057,
407,898,202,450,828,063,125,445,709,755,714,003,488,365,501,457,985,965,295,
661,757,224,218,208,922,212,536,742,237,211,424,915,242,507,829,565,521,130,
342,363,757,196,010,184,251,935,061,891,280,582,285,817,171,281,891,448,214,
858,553,611,511,466,002,497,986,347,226,905,793,162,653,542,309,175,996,639,
675,365,141,808,827,616,083,204,075,970,867,072,260,083,080,406,002,031,956,
987,016,133,175,685,955,209,786,967,671,110,601,957,258,279,713,582,437,716,
824,887,676,626,152,609,451,468,952,235,060,433,649,067,253,015,575,944,153,
234,446,662,278,999,734,579,120,521,511,398,783,795,209,519,670,696,476,378,
527,052,508,149,467,435,081,977,539,329,442,299,387,554,753,676,892,893,924,
588,862,121,729,558,222,736,289,629,048,481,323,994,829,969,500,604,836,905,
099,430,421,140,472,108,959,425,131,357,170,103,755,769,831,123,623,893,274,
364,797,753,524,377,319,994,597,353,577,428,333,727,462,412,921,399,020,750,
844,510,738,702,574,872,128,458,460,575,441,269,544,343,628,565,103,535,250,
664,005,225,968,887,805,501,583,500,907,066,994,486,403,969,685,587,742,513,
203,082,756,025,659,362,401,032,366,709,750,207,778,733,035,708,945,047,010,
632,980,487,923,244,361,963,509,672,621,816,716,050,608,270,678,922,727,114,
743,936,345,353,629,149,772,680,696,029,312,987,909,418,716,983,613,538,256,
671,430,598,522,989,321,898,943,914,053,769,313,132,267,194,972,542,380,908,
559,537,735,733,788,654,922,576,279,506,016,448,869,065,003,608,210,016,878,
103,960,812,693,975,050,028,651,990,636,510,155,301,917,687,210,833,638,935,
880,710,570,690,910,582,876,698,392,515,780,488,142,686,161,306,067,864,074,
423,826,493,231,658,919,366,768,065,170,922,143,027,607,387,185,243,470,256,
708,515,340,443,852,181,474,064,740,801,175,900,409,848,418,816,979,082,811,
369,182,182,673,344,657,824,298,915,836,798,227,083,148,215,796,985,032,728,
582,930,964,981,566,801,497,467,857,256,504,077,374,375,281,414,706,019,226,
345,465,759,645,565,910,329,209,953,973,996,673,546,101,552,542,311,299,586,
896,741,263,967,329,161,884,132,768,535,513,696,145,004,522,552,322,569,417,
461,304,288,618,600,347,405,917,822,806,775,864,779,299,615,427,553,292,733,
542,660,996,356,290,201,809,105,368,641,312,134,149,434,501,338,336,745,979,
610,308,663,382,466,519,690,487,261,568,699,849,318,679,037,651,135,380,592,
768,538,702,528,819,822,070,627,028,718,665,184,429,515,612,782,656,904,843,
484,395,681,332,557,579,399,212,709,499,512,900,447,536,087,732,115,074,287,
690,115,616,438,545,525,013,327,598,749,502,947,302,862,672,964,828,292,016,
638,429,845,520,174,872,439,893,421,883,013,674,824,046,542,045,789,526,378,
092,903,720,687,790,114,774,110,292,419,929,453,507,784,835,758,264,953,773,
593,347,961,214,216,049,264,850,662,420,262,358,568,351,431,813,548,925,387,
261,125,645,697,149,657,336,535,098,697,490,971,498,655,984,433,165,136,508,
219,685,319,032,874,833,527,845,604,678,975,910,397,178,002,052,524,883,620,
871,882,503,582,177,804,981,068,519,120,099,061,134,162,194,497,066,706,998,
659,148,586,938,357,292,585,130,216,801,826,881,657,919,224,388,354,540,725,
905,950,820,405,620,406,613,847,310,261,580,802,552,263,139,286,360,438,133,
922,540,780,635,506,611,547,002,454,027,227,740,626,774,498,408,457,807,814,
474,876,724,309,691,575,472,911,619,804,983,033,029,482,426,718,771,027,779,
999,532,464,301,966,544,203,432,418,227,784,406,122,236,660,847,696,991,012,
085,267,939,613,146,957,281,887,843,839,626,318,945,539,196,180,542,002,979,
626,039,697,791,432,286,241,665,965,757,532,115,028,660,143,195,624,174,465,
588,606,843,493,289,587,981,469,392,047,757,820,104,626,039,641,942,945,816,
652,240,728,483,117,465,566,219,135,322,123,513,571,801,639,967,289,929,061,
401,816,778,884,881,749,799,034,659,948,823,229,993,172,570,563,147,142,230,
369,585,064,960,443,918,390,467,862,106,671,216,290,731,031,967,395,338,726,
733,710,290,530,482,269,721,801,124,537,979,641,593,345,471,300,212,959,139,
328,648,620,646,079,085,360,346,659,595,532,731,895,537,234,157,660,712,568,
584,779,410,569,843,718,383,744,500,534,587,417,711,379,721,997,518,121,153,
214,961,835,012,400,473,009,917,676,189,373,526,763,358,815,695,333,688,790,
535,473,923,525,562,092,537,306,737,768,024,330,043,622,934,261,119,758,056,
192,753,404,146,519,777,770,583,415,026,584,891,191,679,123,366,508,699,423,
755,189,958,132,764,045,211,281,618,858,805,666,878,408,415,483,550,153,385,
263,830,605,969,594,672,746,147,178,016,147,163,672,568,080,984,836,401,707,
700,722,675,297,614,642,018,130,542,829,794,533,964,298,624,906,342,167,094,
732,025,872,626,871,610,976,961,129,216,706,802,113,069,210,516,179,176,098,
729,552,727,528,047,582,476,116,930,005,697,824,710,995,514,215,991,969,544,
567,175,952,794,645,553,204,728,637,926,063,663,392,487,330,393,557,404,648,
011,487,959,109,057,834,083,897,592,393,302,827,133,571,610,327,858,987,071,
865,776,551,650,813,584,404,395,725,173,990,996,031,621,224,420,370,937,394,
856,672,418,112,147,773,183,794,369,750,494,326,970,796,480,886,377,607,168,
458,689,630,242,494,726,688,748,397,611,969,640,924,083,682,187,656,226,860,
847,178,879,076,460,073,664,460,658,903,858,476,606,960,655,445,680,496,496,
602,864,158,462,798,266,378,762,825,864,076,961,436,174,065,702,664,594,383,
554,665,462,106,182,981,080,074,748,202,785,527,591,651,063,169,565,168,141,
845,763,537,621,011,260,621,178,354,325,115,226,269,849,998,159,027,543,704,
944,796,162,867,216,891,321,729,422,239,325,257,512,345,031,929,481,034,942,
239,467,157,803,854,727,348,489,435,749,026,054,178,764,859,554,946,013,173,
027,261,098,773,831,271,725,247,174,938,274,381,044,380,367,889,204,026,789,
704,154,242,764,840,567,977,906,004,087,498,572,041,312,170,381,027,941,087,
543,407,176,266,575,260,653,779,249,365,699,798,618,783,203,869,326,533,590,
493,597,681,843,220,085,837,888,533,546,990,510,495,307,186,719,717,025,686,
720,057,385,961,448,528,233,771,470,950,790,589,083,997,903,001,453,795,073,
699,837,348,598,858,619,825,592,363,419,670,509,269,735,034,240,787,906,742,
334,166,465,910,633,941,170,403,658,619,127,024,484,764,356,571,427,279,334,
149,739,682,028,919,202,655,240,551,401,739,176,492,960,734,640,840,596,517,
151,930,767,226,045,934,096,695,343,516,119,003,713,351,581,192,760,612,238,
257,293,952,641,310,798,006,242,109,766,310,401,646,391,669,016,924,000,458,
711,642,213,001,917,548,617,925,506,494,790,261,598,915,326,283,406,955,503,
102,259,335,115,745,871,830,513,287,510,395,001,794,718,437,383,930,570,227,
026,069,517,237,921,728,140,974,941,672,148,043,885,407,667,654,534,431,033,
333,937,299,457,508,559,413,069,137,009,658,823,825,984,167,432,287,981,906,
543,616,159,300,077,519,418,307,168,270,957,705,772,722,694,251,744,769,229,
170,566,557,357,330,773,099,256,455,000,980,813,287,881,093,634,585,538,277,
888,114,946,795,559,682,447,980,331,591,559,188,882,990,444,267,528,669,268,
946,553,277,719,547,748,348,470,581,589,912,627,344,190,329,170,683,421,853,
953,768,089,558,821,674,483,814,270,315,748,771,188,865,275,518,497,547,406,
678,198,326,981,922,846,325,992,637,330,590,441,600,685,849,676,694,885,514,
358,151,229,355,654,325,870,401,339,979,972,974,551,494,493,691,206,856,602,
484,772,026,589,805,614,071,944,710,898,165,457,454,856,182,911,904,906,062,
328,665,735,282,023,082,112,320,383,058,004,570,375,884,713,843,599,036,312,
380,426,494,831,125,830,203,923,788,277,367,055,389,030,272,687,485,447,944,
171,418,181,050,376,536,870,714,678,148,088,573,513,575,268,103,775,292,367,
502,811,813,438,508,595,147,053,167,282,636,669,041,460,290,175,183,265,599,
969,187,963,652,409,197,030,461,098,882,693,135,598,621,843,865,501,456,058,
146,624,745,000,733,110,889,361,070,009,055,145,419,675,475,077,389,496,229,
982,160,833,892,316,803,577,117,669,610,937,807,928,556,781,986,507,450,316,
537,537,269,528,095,143,393,059,574,646,912,595,495,455,914,913,198,300,891,
701,901,990,272,638,762,335,737,159,192,257,878,897,992,533,654,884,965,026,
800,519,114,878,255,595,670,846,728,458,836,261,995,436,669,484,059,681,196,
596,110,911,595,913,130,491,117,156,379,019,013,178,971,556,542,241,237,334,
254,073,063,113,347,563,067,956,361,240,758,812,489,877,405,352,754,545,782,
885,857,307,199,621,413,480,098,988,879,417,526,043,289,877,020,829,129,574,
252,045,503,791,348,296,811,803,555,078,416,930,346,856,161,339,617,697,436,
070,681,095,527,828,541,988,263,444,037,101,333,997,315,507,143,821,081,031,
130,836,825,119,672,429,952,467,682,830,616,572,789,264,088,801,692,053,010,
101,468,841,068,830,610,551,484,073,341,361,255,577,232,509,423,194,799,505,
294,413,359,901,476,710,275,230,375,712,883,778,540,091,489,858,792,317,181,
004,287,221,522,053,026,826,086,561,584,864,712,081,422,921,017,251,840,426,
420,674,539,000,350,677,683,120,659,015,210,082,387,100,878,445,180,517,639,
885,688,453,637,119,510,677,583,150,790,069,841,284,946,846,855,944,211,450,
690,110,654,873,253,645,940,594,512,523,157,031,685,142,372,146,298,476,734,
328,668,995,665,023,570,333,208,254,051,975,455,013,858,224,496,341,469,055,
558,300,341,439,313,244,792,828,657,286,072,601,807,839,434,159,994,216,613,
913,199,757,387,642,377,562,520,557,413,046,046,125,554,539,192,625,094,755,
562,122,238,254,502,572,528,534,374,817,020,494,078,276,519,286,498,797,312,
640,890,522,708,282,109,551,089,958,580,623,254,452,807,026,909,471,769,553,
733,006,710,280,401,030,196,743,345,288,191,267,550,121,601,004,621,924,078,
062,557,295,262,823,042,958,337,143,259,810,546,564,042,867,391,944,473,803,
879,932,214,858,853,827,240,495,508,030,306,634,038,669,325,803,566,681,486,
837,478,589,199,211,692,520,463,789,210,305,187,258,955,155,377,543,518,648,
325,191,895,026,431,649,425,210,807,146,767,150,451,276,414,601,969,810,482,
536,600,619,078,422,220,751,155,741,205,291,850,719,683,523,775,398,474,757,
755,032,752,222,987,474,124,586,097,191,118,774,834,107,758,004,704,544,825,
148,646,219,367,337,175,784,708,642,767,086,051,299,337,653,034,758,630,980,
140,875,143,213,514,433,288,084,431,311,936,261,063,126,766,275,730,333,290,
137,171,421,292,089,971,155,359,111,225,337,338,990,794,044,605,012,854,369,
441,214,014,142,308,338,538,765,288,122,188,069,686,138,214,552,792,572,751,
617,026,903,721,613,103,630,067,118,912,902,614,008,946,947,315,966,258,749,
769,068,190,051,049,032,392,612,340,536,070,002,116,431,249,621,180,799,706,
318,104,266,825,623,112,696,568,409,222,947,343,946,093,045,608,955,626,867,
965,729,594,901,357,854,441,557,769,050,292,895,584,470,313,637,827,723,798,
755,158,495,283,735,098,847,978,348,283,496,668,554,956,591,427,347,722,764,
041,163,637,190,187,263,294,090,622,012,457,255,800,199,231,934,454,258,180,
374,970,128,997,428,967,069,242,856,541,903,192,024,125,857,030,988,115,004,
047,115,951,182,772,629,479,096,238,322,651,436,747,087,792,318,881,061,780,
515,407,306,637,991,226,199,408,925,812,316,089,698,957,594,487,084,333,465,
894,376,295,247,222,360,180,609,532,475,766,270,978,452,366,117,431,365,299,
957,884,921,233,428,057,370,873,705,097,204,514,077,114,424,554,450,717,966,
609,915,964,043,935,335,474,632,499,607,648,805,898,842,551,413,357,991,020,
509,499,252,012,066,930,461,922,088,504,744,642,647,380,559,250,551,665,009,
411,954,381,237,721,506,786,560,287,975,958,335,452,670,720,348,238,452,539,
352,067,448,446,320,897,443,623,554,808,569,177,388,200,105,825,390,842,769,
242,246,972,272,999,641,567,336,322,308,428,812,380,233,894,896,697,064,114,
047,192,879,863,257,864,175,882,603,465,051,386,542,892,320,047,245,316,723,
576,478,446,945,712,902,137,338,163,162,064,960,025,242,940,227,305,379,235,
729,370,538,567,696,984,331,201,521,651,459,963,080,637,647,956,367,820,621,
466,191,341,561,720,852,163,260,680,511,041,459,199,185,024,044,418,695,210,
701,610,345,276,174,042,665,259,656,423,583,553,665,198,170,489,626,582,396,
414,937,316,123,965,290,463,471,727,031,138,184,916,722,661,695,191,520,320,
944,119,909,007,055,214,565,040,583,307,804,740,182,770,480,028,190,630,794,
089,055,718,273,831,224,378,390,286,284,639,035,512,702,226,782,811,933,551,
885,187,686,659,138,221,782,336,148,287,068,470,940,968,839,694,310,391,694,
637,474,786,588,558,718,674,814,433,647,127,757,668,204,994,593,310,241,100,
505,123,025,040,993,451,741,192,506,568,054,147,299,207,013,114,986,970,206,
631,141,661,433,702,274,292,724,875,667,948,804,924,778,973,310,407,377,669,
932,228,579,395,657,209,382,370,067,998,458,875,411,896,886,974,377,295,859,
724,199,382,971,094,032,000,664,864,833,602,863,434,204,666,490,602,658,183,
564,060,302,328,312,812,524,843,002,209,714,729,458,639,114,626,735,421,000,
260,994,099,359,748,290,518,152,321,621,728,266,378,954,392,969,540,088,383,
091,281,356,791,348,228,183,772,626,806,352,958,235,146,214,914,247,257,899,
240,506,456,380,948,178,588,151,399,625,861,625,133,726,868,455,103,609,173,
216,213,854,117,991,968,667,540,220,008,965,730,064,856,846,825,833,907,072,
023,918,164,492,640,645,308,179,256,516,359,340,719,052,597,795,771,300,455,
740,510,205,889,366,420,868,591,134,113,334,684,016,736,663,449,721,362,212,
627,652,725,545,768,396,936,867,387,602,491,941,609,517,266,034,783,710,347,
258,316,034,601,717,889,161,406,570,389,296,426,559,673,216,969,982,225,484,
338,811,996,050,543,135,767,779,248,153,152,894,704,829,104,414,067,633,266,
070,048,279,678,676,936,562,891,310,623,708,956,783,929,103,815,403,084,863,
943,241,194,564,778,219,914,777,696,921,083,340,156,121,969,037,911,413,470,
857,495,588,738,890,802,500,439,578,914,884,768,362,296,672,677,023,822,595,
141,955,229,931,637,469,673,556,671,203,640,602,785,348,488,389,964,341,922,
270,179,466,865,428,538,636,692,390,396,334,855,498,771,140,545,336,018,354,
439,634,465,426,701,349,637,051,993,191,781,581,386,290,969,087,482,068,502,
789,113,904,081,579,513,347,404,906,036,265,901,982,976,259,006,270,486,901,
604,277,649,705,119,001,107,047,253,958,464,674,174,540,947,874,866,735,990,
556,654,285,024,503,398,972,213,121,354,581,648,652,413,949,169,488,600,276,
009,939,328,458,552,088,269,366,030,581,093,040,036,798,065,297,120,012,008,
845,957,776,395,097,549,621,697,540,829,724,465,661,996,206,215,091,899,770,
728,084,985,294,566,686,571,906,241,792,164,990,020,374,721,653,816,486,850,
238,429,592,909,686,392,454,998,807,310,272,296,319,447,726,115,002,472,807,
611,028,631,258,762,391,180,902,071,187,973,963,232,161,711,667,610,777,132,
968,810,369,515,238,608,756,551,075,096,701,752,286,605,308,549,058,420,535,
034,968,598,705,403,980,859,442,228,863,640,070,514,336,579,276,428,903,760,
685,906,945,796,453,518,384,622,369,937,210,221,952,526,061,606,686,251,488,
957,662,392,053,749,250,788,706,502,552,597,710,181,181,773,919,341,169,469,
134,854,272,488,403,359,043,472,999,206,688,313,502,092,810,549,935,389,323,
403,090,783,894,134,424,276,626,970,369,872,349,889,162,303,406,942,607,778,
648,613,993,795,169,018,884,736,385,024,766,935,616,952,579,094,189,288,051,
037,525,836,151,302,987,697,061,034,665,501,955,499,378,513,262,023,091,589,
421,709,922,051,218,734,717,891,696,729,575,506,075,245,549,873,498,223,139,
091,223,148,769,617,717,129,859,322,935,813,131,945,918,309,946,460,180,283,
296,443,614,084,122,115,066,377,749,262,365,903,112,522,741,789,394,524,121,
827,117,006,732,903,813,846,071,474,752,598,082,403,515,493,963,336,098,706,
456,952,987,365,141,114,377,353,848,237,505,717,886,953,268,004,654,161,226,
581,917,081,399,478,124,280,490,236,980,850,616,106,728,827,373,767,103,681,
330,370,725,122,477,770,511,160,125,936,973,078,947,188,346,516,542,158,013,
517,686,745,603,573,511,473,680,646,117,175,802,542,413,878,404,735,872,749,
427,659,970,149,573,330,687,380,197,895,282,035,309,311,886,300,239,056,691,
577,187,000,244,581,699,631,859,786,062,727,521,824,538,376,326,232,181,804,
354,181,948,279,159,393,264,346,046,500,032,245,422,269,272,369,337,878,308,
813,539,430,841,024,352,112,722,461,672,386,640,491,039,347,568,933,153,286,
112,000,405,915,893,915,448,744,440,236,252,488,332,640,185,347,985,868,797,
104,888,040,166,751,681,118,958,724,389,012,702,677,414,593,096,275,993,862,
043,665,191,022,770,100,114,394,089,808,459,102,131,176,563,215,751,479,408,
254,931,501,097,767,069,263,550,779,344,665,382,707,068,230,255,835,393,591,
558,349,574,418,279,146,664,165,800,401,481,413,868,692,282,848,535,338,949,
795,840,543,949,371,214,834,461,760,853,445,551,070,662,916,616,229,568,904,
521,750,108,432,509,547,369,271,249,520,319,328,817,023,118,289,493,767,473,
801,429,317,313,658,383,156,838,813,022,369,384,084,556,154,994,561,162,209,
990,867,856,788,511,328,764,963,604,759,608,156,979,972,390,329,273,469,773,
256,981,756,730,493,821,130,634,798,381,150,848,251,475,811,588,640,486,790,
656,862,960,902,771,706,252,811,461,158,053,377,055,085,813,363,462,398,039,
871,174,608,838,887,533,727,171,419,924,962,982,580,333,029,927,298,688,207,
228,728,918,322,916,012,539,947,521,765,250,678,054,855,892,561,774,719,055,
591,602,574,509,169,981,094,428,927,549,811,423,557,886,115,283,779,776,108,
277,285,133,670,461,836,426,832,193,029,871,888,184,484,254,582,589,545,655,
990,659,054,348,058,870,162,229,848,336,115,390,436,140,306,713,298,277,734,
330,019,296,056,122,498,593,229,446,176,550,205,360,478,928,160,055,530,978,
624,886,314,176,614,160,008,366,386,853,858,373,718,513,905,498,034,971,470,
742,273,792,548,478,156,447,409,828,084,734,856,302,790,592,116,222,784,126,
269,765,176,819,021,460,325,898,836,361,387,970,828,974,864,822,968,316,502,
688,550,333,677,026,346,841,366,378,729,080,385,250,829,238,967,503,647,937,
963,204,688,692,804,773,772,463,426,932,379,405,122,826,097,271,348,917,846,
562,659,379,609,332,995,482,778,000,179,002,983,430,984,480,840,266,368,216,
845,419,185,637,283,738,197,356,846,408,278,330,923,379,714,949,136,801,422,
703,834,857,195,796,693,617,350,195,203,509,366,829,507,874,781,225,512,975,
777,434,742,080,466,894,356,587,282,643,377,640,359,560,209,728,861,801,304,
142,795,353,349,219,981,840,918,088,635,191,193,482,764,864,354,658,765,407,
210,860,324,478,717,442,174,199,077,590,377,900,287,031,222,925,364,046,450,
462,362,017,373,025,449,393,856,543,851,885,014,823,732,959,498,684,943,517,
106,681,239,556,654,764,704,246,887,112,966,039,427,995,327,672,756,784,968,
270,178,954,326,427,629,832,340,963,917,103,282,370,278,228,064,365,242,308,
801,762,555,029,977,933,047,706,288,084,112,251,440,378,569,652,026,162,946,
739,742,144,599,361,161,505,966,716,773,285,758,020,173,997,649,281,811,945,
490,139,766,214,960,866,682,159,324,125,909,928,660,789,986,093,756,475,176,
722,297,929,993,495,534,061,077,793,749,689,718,291,239,683,225,811,151,369,
611,755,822,296,221,671,126,824,661,610,182,496,168,318,179,178,716,946,101,
671,497,973,884,780,184,624,185,840,926,895,310,102,289,338,329,654,094,924,
297,204,031,505,172,164,544,558,681,220,881,901,475,591,326,605,503,471,019,
254,582,116,829,439,636,016,510,843,339,867,294,160,306,796,280,821,577,270,
153,393,359,026,779,673,324,661,276,618,563,204,009,361,829,382,974,940,308,
562,194,585,350,714,718,836,256,557,727,051,811,450,083,085,895,765,586,198,
871,158,540,321,308,277,273,322,943,283,362,916,071,701,290,709,776,025,725,
686,084,025,467,445,715,408,462,153,558,728,895,679,434,940,819,085,241,739,
522,869,029,717,804,733,200,169,462,407,881,490,858,371,322,116,087,104,465,
883,229,730,007,898,828,454,447,695,819,641,007,597,896,224,111,018,862,345,
938,054,733,044,657,365,139,122,002,079,584,914,163,155,646,268,512,578,682,
167,663,085,668,904,223,893,052,722,064,327,780,665,902,395,987,308,250,641,
670,490,535,186,027,731,597,356,804,485,421,234,714,914,995,976,620,039,032,
031,418,540,342,628,734,585,528,447,595,002,881,619,818,696,272,473,444,859,
262,886,060,968,357,033,450,431,964,419,933,078,771,647,704,307,208,033,611,
626,192,623,910,700,380,327,025,225,297,664,056,251,372,504,738,355,286,959,
339,599,173,883,586,322,002,516,536,823,085,136,152,240,195,242,791,074,576,
523,768,568,687,872,690,432,182,012,215,309,776,129,630,615,267,312,603,928,
776,379,594,059,993,496,148,610,288,093,040,296,136,434,550,781,654,601,263,
628,211,934,607,445,112,355,582,130,849,229,458,408,372,842,209,446,081,500,
986,642,812,385,867,321,997,799,315,841,610,840,975,879,947,122,633,037,156,
421,685,645,272,793,396,350,735,182,583,728,469,651,137,903,572,580,092,075,
684,581,406,029,725,958,583,007,610,048,937,719,008,676,558,339,656,502,553,
933,553,965,890,422,951,562,446,321,009,531,958,606,937,484,176,148,741,953,
152,620,141,865,194,641,253,722,788,092,517,384,712,933,171,023,301,342,743,
456,870,874,373,893,781,389,836,311,140,070,841,409,028,077,916,415,439,428,
855,497,081,845,785,226,351,046,115,738,234,533,655,906,178,529,020,542,708,
360,043,321,468,936,470,693,654,750,725,893,573,583,937,577,136,972,849,011,
767,590,650,925,583,642,315,730,862,500,842,433,910,295,757,180,373,238,468,
038,781,208,221,740,976,452,253,544,641,321,742,271,510,465,843,253,509,629,
567,962,476,909,344,042,506,311,229,259,266,290,064,539,900,738,391,696,570,
659,172,158,882,072,908,965,639,204,433,061,897,568,883,036,785,275,928,506,
456,192,746,404,518,865,104,199,534,653,172,069,161,836,329,482,852,400,825,
791,344,895,623,011,221,944,839,742,753,851,573,473,446,129,720,420,856,542,
634,010,428,347,347,769,707,260,383,153,666,734,471,037,087,198,068,559,574,
583,091,090,633,923,449,784,446,072,017,175,112,404,474,158,287,952,901,257,
188,023,745,784,769,504,376,003,036,714,497,932,172,827,995,435,053,829,616,
145,808,056,514,060,448,125,768,613,953,859,587,056,893,054,726,447,836,353,
912,820,041,228,348,983,773,534,724,005,781,227,063,576,593,337,940,825,387,
257,044,149,399,131,186,945,538,742,439,276,707,052,177,032,993,426,553,190,
678,285,433,118,261,145,767,174,428,966,047,892,098,525,193,545,000,930,216,
346,006,185,968,907,384,356,693,731,966,915,978,763,360,751,215,365,946,789,
315,058,540,787,819,809,111,503,513,276,013,953,730,611,075,883,510,426,235,
529,497,260,864,036,112,318,113,727,463,345,077,347,375,583,633,917,672,644,
109,990,362,717,072,465,494,405,695,523,020,195,604,318,917,170,262,103,599,
406,089,248,565,159,468,085,863,000,504,820,853,223,134,426,794,612,443,922,
082,928,802,136,138,808,270,695,054,086,517,420,989,549,728,806,590,327,861,
560,779,564,401,048,049,875,399,528,487,811,554,909,103,661,539,918,883,911,
441,894,242,307,461,147,016,709,345,995,120,601,094,863,246,099,697,727,228,
104,008,111,479,499,797,668,413,032,277,235,249,188,672,248,814,511,956,524,
283,948,048,006,189,904,532,535,080,808,124,109,479,655,444,324,037,989,020,
631,056,873,917,164,867,097,046,622,371,227,320,268,597,003,655,897,878,568,
615,926,145,126,278,764,003,821,898,889,462,947,509,980,567,679,689,734,147,
890,532,820,759,940,287,643,219,689,370,966,524,294,402,238,221,477,581,166,
337,405,990,715,474,611,652,045,658,120,047,134,680,813,420,128,690,267,214,
425,431,623,058,165,569,183,718,950,234,170,505,147,020,383,202,010,696,957,
701,341,319,265,570,593,802,472,065,562,840,866,821,681,432,621,565,541,542,
910,142,864,393,588,225,475,158,311,376,105,632,505,854,692,538,349,548,605,
012,046,814,044,638,587,950,720,068,923,945,899,873,708,651,173,223,250,068,
915,702,926,632,514,079,436,825,311,907,092,540,704,130,826,333,817,335,180,
610,953,012,875,638,197,723,685,589,613,688,787,046,688,460,920,700,530,287,
712,213,543,327,724,521,262,593,480,925,822,676,506,666,781,448,404,226,722,
984,925,143,368,724,095,442,169,733,909,294,816,385,726,637,409,926,203,045,
600,269,538,335,541,800,602,850,682,565,868,411,591,474,335,991,256,261,308,
893,602,631,645,586,984,055,031,409,357,417,639,919,170,818,855,387,321,659,
543,506,965,874,078,977,858,500,613,308,010,870,989,011,387,501,093,961,330,
349,323,410,400,594,256,663,582,287,099,032,406,477,460,616,983,264,318,442,
053,488,760,718,181,552,323,518,470,020,546,956,173,052,975,699,071,591,164,
556,830,169,013,386,855,735,402,953,294,061,603,814,968,949,624,441,835,282,
742,942,677,052,656,686,851,298,168,979,666,037,730,821,282,727,892,711,347,
116,467,756,571,573,096,727,176,137,153,120,333,333,346,166,506,735,974,018,
973,244,887,867,174,640,337,056,907,592,794,927,483,036,074,040,777,324,993,
027,429,495,642,314,381,752,230,339,873,824,632,634,277,131,240,416,059,955,
260,636,797,991,053,100,369,952,307,801,900,709,116,401,581,872,337,104,523,
920,540,297,829,940,201,874,523,508,251,985,074,206,288,073,451,488,897,755,
890,842,309,833,839,459,168,007,898,487,177,415,761,865,678,376,352,990,939,
241,965,317,687,725,257,616,528,405,899,220,423,832,863,668,234,663,504,315,
426,037,873,292,145,148,567,125,214,121,353,365,089,028,459,956,075,847,998,
540,116,753,334,599,004,842,963,998,466,476,431,449,541,575,486,592,241,753,
363,886,698,663,446,579,644,152,137,470,744,134,142,174,218,166,746,220,770,
298,366,839,452,668,754,167,377,434,889,937,804,366,296,909,598,964,619,485,
264,902,958,908,088,985,758,910,040,217,682,923,195,697,905,167,404,811,118,
252,688,952,857,519,911,319,902,589,877,868,759,959,200,171,728,475,855,365,
685,342,417,773,077,941,148,527,940,285,296,156,290,302,634,284,047,275,533,
361,070,203,427,645,168,799,288,836,471,097,739,518,765,074,098,377,078,726,
653,489,255,599,337,994,541,966,037,320,998,708,924,301,444,952,200,031,531,
407,508,427,583,474,119,905,667,101,575,572,263,908,497,736,942,750,887,252,
729,532,665,380,773,673,771,199,747,054,848,467,406,171,115,482,957,142,298,
166,858,526,941,014,505,760,109,316,291,933,682,126,825,247,676,613,167,375,
700,234,574,013,364,060,861,682,017,478,988,118,352,410,791,098,806,409,743,
695,352,293,175,362,217,607,673,576,044,362,685,091,471,851,052,992,183,673,
564,657,365,589,057,211,424,371,217,009,234,228,707,735,507,435,199,714,133,
337,174,473,600,977,171,517,506,110,111,388,827,831,618,625,434,499,767,387,
140,332,646,693,329,393,824,843,096,839,144,986,331,730,369,382,528,305,920,
954,321,776,964,750,067,519,633,253,644,439,279,760,813,632,825,054,721,140,
218,079,432,352,045,625,467,862,191,304,101,205,434,859,003,077,657,005,854,
810,563,005,092,111,907,188,421,668,590,161,567,422,270,406,808,372,597,708,
579,190,591,781,462,230,404,710,437,709,865,514,792,402,497,008,208,067,702,
134,133,897,842,637,159,057,350,635,850,508,854,757,776,589,329,436,586,349,
646,449,541,229,560,950,326,279,399,125,171,802,126,237,943,756,533,056,494,
635,584,268,884,835,893,440,740,664,331,177,045,632,693,226,315,771,723,354,
075,500,892,130,704,367,529,010,438,804,938,574,457,593,418,431,357,153,555,
534,135,369,402,750,570,872,663,974,492,952,334,932,392,395,501,140,855,724,
526,085,070,235,220,328,539,496,609,416,949,283,210,390,709,144,225,594,112,
602,508,085,805,572,321,073,859,942,834,808,647,767,247,904,551,835,964,740,
789,109,881,785,556,916,506,306,002,623,661,243,186,125,003,579,407,172,418,
652,779,863,273,266,176,104,798,523,137,867,926,513,300,147,752,856,493,654,
168,200,822,889,076,922,917,421,643,189,192,280,995,849,081,676,789,293,801,
521,813,470,825,110,536,856,985,516,179,117,007,038,238,706,113,734,129,893,
775,166,033,986,552,094,969,260,868,977,087,858,469,439,430,464,685,873,625,
179,506,111,491,188,739,741,382,164,042,838,666,110,680,012,315,636,346,173,
662,843,636,621,046,810,206,903,629,207,585,390,795,580,642,848,570,214,938,
064,827,827,713,687,026,449,622,429,873,205,852,986,821,869,183,836,328,934,
054,705,739,417,924,765,120,072,692,894,401,926,573,399,119,682,895,595,002,
713,747,776,191,255,421,110,287,081,529,120,252,023,881,223,788,310,910,546,
355,654,767,877,007,351,367,286,318,424,173,606,127,489,845,714,528,566,379,
759,707,430,153,094,860,312,824,702,110,310,316,815,258,582,946,625,469,586,
458,661,414,259,515,023,442,815,771,728,831,364,218,955,486,029,881,102,368,
950,524,019,010,440,094,774,262,103,534,822,164,155,656,539,719,518,519,185,
803,857,586,586,019,849,541,694,937,759,384,882,987,285,112,305,501,831,120,
593,979,184,924,803,920,744,959,279,061,432,128,147,439,697,377,453,087,849,
082,432,974,584,245,541,871,818,674,204,603,188,651,714,868,415,663,809,507,
774,551,687,728,764,299,346,711,674,883,029,415,100,478,542,323,328,501,361,
469,718,244,809,286,844,195,850,227,348,763,703,228,261,740,310,190,537,289,
112,045,140,416,565,421,309,672,384,308,235,565,187,954,521,457,039,594,207,
845,311,286,367,225,079,850,781,202,339,877,100,323,613,757,464,166,681,765,
304,570,042,328,341,795,810,197,048,526,974,977,373,716,669,255,581,890,870,
398,989,171,529,991,984,138,744,455,031,925,599,894,831,759,040,074,522,667,
475,708,822,512,435,390,559,285,070,892,327,753,945,972,434,602,857,358,229,
783,679,243,193,555,620,319,489,118,556,583,727,865,048,252,414,723,306,521,
844,737,912,219,557,561,997,350,447,078,090,099,202,165,365,364,805,784,565,
654,409,237,687,568,739,853,089,538,315,667,683,178,869,522,289,394,132,549,
467,941,286,279,740,953,440,295,380,689,635,099,017,669,403,013,866,555,205,
711,357,234,936,916,701,297,190,336,443,564,015,198,522,222,636,322,307,496,
586,964,687,124,769,372,517,132,871,700,097,701,556,841,718,389,108,266,280,
388,405,946,967,060,544,640,434,635,124,832,285,788,454,118,018,018,633,215,
164,842,826,157,937,512,059,126,663,862,804,971,152,410,201,834,167,157,710,
298,353,341,315,996,474,025,533,664,702,148,859,712,945,117,508,146,282,948,
332,116,710,886,309,478,933,861,536,444,184,778,114,398,090,069,910,481,888,
594,162,545,496,561,057,642,292,358,005,094,263,519,450,036,418,018,123,786,
071,378,253,584,381,123,980,532,804,744,242,376,441,619,167,037,076,891,945,
569,604,633,451,280,786,375,579,301,119,661,975,094,523,034,179,800,710,803,
514,615,237,955,129,205,981,971,853,128,889,868,130,548,321,954,595,458,399,
757,135,197,077,745,758,262,835,829,431,922,078,964,510,061,090,253,927,328,
861,014,054,668,832,433,255,501,639,396,242,214,263,203,915,288,382,519,339,
603,976,186,777,353,684,566,255,509,142,735,431,230,283,784,896,675,731,496,
327,942,919,907,853,561,544,646,562,262,393,535,066,228,985,754,272,593,720,
892,193,251,145,589,858,663,914,171,056,811,896,406,477,135,261,276,038,436,
719,020,623,464,303,613,444,384,862,683,340,229,612,117,629,576,680,879,766,
776,188,913,953,645,161,096,989,814,711,276,799,080,252,122,219,523,090,909,
779,608,141,335,550,840,066,789,588,657,786,087,706,122,618,759,461,840,388,
053,430,972,409,983,021,125,391,076,984,137,867,270,215,224,046,670,513,907,
685,711,852,465,076,377,878,758,276,382,445,911,522,872,561,361,659,172,093,
701,945,543,175,343,083,753,693,087,069,883,868,792,217,584,727,303,855,449,
912,381,158,987,358,943,070,318,010,148,292,699,370,876,829,898,326,508,510,
848,257,427,166,261,476,172,052,066,374,112,368,377,636,366,475,855,021,557,
696,574,154,527,881,007,892,049,857,031,591,845,497,514,872,461,441,680,789,
188,198,834,807,758,766,573,673,894,498,147,656,073,873,993,775,142,154,541,
444,345,293,684,200,560,102,361,643,755,262,616,324,342,125,411,399,616,931,
201,628,503,881,581,757,314,904,521,796,575,541,088,182,858,781,438,366,260,
953,408,622,320,469,123,325,931,391,854,327,677,735,336,538,871,362,511,204,
466,371,973,908,981,633,951,695,645,557,537,916,496,023,793,504,204,848,960,
526,976,375,902,656,932,139,276,382,933,916,866,912,704,066,409,997,486,159,
992,780,663,298,762,367,696,537,827,052,034,131,924,517,431,373,531,103,379,
962,817,106,398,003,357,134,985,388,793,092,745,554,380,436,433,414,085,138,
906,418,784,934,921,047,093,550,064,190,005,620,890,568,127,232,786,643,171,
313,358,031,610,430,669,176,549,904,682,992,929,512,888,236,242,457,369,106,
877,693,961,833,833,052,249,203,116,458,447,323,902,792,518,140,723,045,315,
338,041,772,208,029,625,640,253,497,012,971,325,592,838,130,394,360,823,864,
320,731,073,284,396,937,573,851,330,495,638,529,764,327,778,372,531,973,511,
085,581,142,073,765,204,954,689,455,892,926,781,764,824,241,876,610,811,067,
372,212,394,533,793,194,433,657,556,996,042,489,772,284,370,561,864,011,429,
908,510,373,267,641,644,103,073,509,836,239,951,112,786,738,659,031,903,061,
230,700,799,218,948,309,387,477,052,764,674,045,229,026,750,842,042,503,141,
467,101,784,939,756,625,111,021,400,881,509,792,765,930,598,270,917,635,498,
766,510,994,784,569,638,954,207,868,481,744,355,608,558,379,879,202,050,259,
885,330,729,342,214,985,299,863,930,514,793,121,657,814,388,658,036,705,589,
331,734,967,606,765,192,630,240,341,029,202,419,811,837,525,432,912,518,364,
422,850,046,664,425,309,584,194,421,699,667,423,550,810,790,301,909,108,674,
665,830,704,779,490,048,779,566,560,059,422,225,152,990,225,573,932,167,205,
922,690,375,675,407,870,279,963,683,022,685,004,194,134,446,689,528,337,530,
170,742,883,084,145,505,059,461,931,142,319,504,303,221,176,432,882,563,659,
457,950,138,521,622,991,909,970,457,011,666,731,203,731,876,131,788,922,184,
979,613,922,648,962,556,467,531,272,082,205,427,529,748,797,517,430,724,896,
266,748,859,760,357,460,786,630,534,136,480,440,442,104,892,999,598,773,322,
100,503,629,575,686,110,188,970,216,614,441,907,231,342,609,325,781,714,748,
412,693,355,376,853,946,228,006,911,124,589,821,291,115,533,019,916,482,037,
608,027,209,176,211,499,802,721,515,068,980,195,784,636,480,181,478,672,120,
530,761,018,885,925,135,517,695,581,859,189,261,924,596,315,508,708,324,027,
608,648,162,547,014,799,615,016,456,160,988,898,761,286,836,335,838,605,347,
646,380,847,908,248,333,186,247,561,336,860,633,139,821,959,603,775,998,943,
619,164,719,378,777,632,539,619,614,273,002,118,674,953,826,434,263,316,489,
501,848,117,465,139,728,389,582,498,487,658,657,537,543,735,820,125,344,465,
103,348,421,737,061,379,491,716,998,936,184,847,606,311,249,136,214,500,168,
440,535,722,737,430,519,434,194,875,486,449,183,807,584,729,251,840,220,567,
943,570,876,780,089,276,093,702,845,015,194,176,615,263,310,889,842,648,995,
907,138,854,932,716,745,513,654,810,849,872,809,618,037,857,612,548,346,390,
385,222,108,508,012,805,259,824,582,625,815,370,919,781,333,865,083,969,726,
173,605,690,392,354,495,750,575,600,624,473,325,286,797,683,425,398,974,869,
782,116,928,649,815,194,301,122,594,600,373,629,116,352,385,348,106,603,314,
036,151,151,059,061,642,671,003,110,671,203,203,015,422,459,193,311,298,147,
272,898,100,129,126,407,714,683,190,218,777,489,840,787,155,352,366,975,137,
780,013,647,173,249,329,471,594,877,056,370,043,793,896,279,210,432,757,104,
667,016,133,883,899,586,573,850,211,120,114,848,863,046,332,176,024,137,078,
354,997,819,661,943,896,088,410,209,581,014,078,633,663,881,429,994,400,600,
837,436,310,444,170,919,931,119,756,964,668,467,374,207,761,531,497,437,913,
598,407,324,876,837,131,665,226,116,012,412,538,402,813,189,731,803,762,787,
836,035,700,462,754,495,735,519,671,223,132,090,246,611,395,834,026,304,752,
915,492,128,816,207,084,205,221,373,898,449,202,612,802,349,123,684,171,549,
328,643,397,566,899,478,453,087,712,735,754,398,409,833,349,230,880,664,722,
039,255,513,644,823,363,927,679,446,010,465,689,806,653,859,040,028,194,282,
625,010,530,132,867,328,355,171,380,900,687,129,682,129,899,217,037,848,513,
992,863,084,305,881,141,726,696,873,406,607,733,753,402,730,024,814,291,165,
527,059,927,186,712,258,754,567,329,181,655,696,174,001,695,374,705,764,809,
700,524,414,375,183,238,702,422,410,119,919,879,963,080,182,664,218,399,265,
378,116,827,423,063,410,315,035,844,508,009,041,115,561,091,475,597,282,091,
385,185,939,686,441,896,201,293,775,676,091,129,405,738,761,092,532,985,598,
723,424,344,784,050,599,354,528,004,023,043,984,423,748,179,431,082,621,258,
697,101,057,231,514,414,676,280,065,842,631,815,134,474,060,389,007,198,494,
090,664,839,928,000,790,324,052,932,035,896,184,824,888,107,117,122,497,173,
046,279,202,504,608,018,974,875,046,605,021,466,137,458,720,699,113,189,690,
985,613,495,831,606,357,201,858,028,446,495,452,693,637,903,960,421,500,899,
237,134,256,488,189,647,335,599,140,741,377,582,196,528,535,097,156,516,013,
470,570,148,889,100,712,833,416,116,568,961,084,101,152,116,212,817,033,033,
980,964,542,369,196,467,220,701,003,012,933,100,541,466,055,404,139,620,775,
122,986,403,314,994,020,557,459,581,354,682,236,007,731,426,589,404,034,066,
428,820,472,031,126,765,229,997,263,160,873,051,592,733,910,089,195,381,159,
891,169,450,054,815,022,044,792,627,192,882,812,983,860,195,669,227,711,954,
561,220,341,611,782,939,402,153,943,628,360,790,872,013,170,275,135,608,432,
894,622,706,558,846,787,857,698,171,258,316,567,729,198,532,508,406,821,363,
347,931,392,928,951,624,975,852,301,625,632,063,793,352,897,444,411,024,192,
784,471,421,374,460,396,356,608,260,207,307,926,668,618,223,612,468,468,299,
715,625,587,938,108,913,548,658,276,874,327,282,212,395,512,523,814,371,608,
432,323,411,459,419,598,595,462,126,384,534,801,620,576,041,901,522,190,296,
679,648,553,996,066,648,692,526,660,326,776,303,129,540,610,611,526,162,570,
646,947,005,018,282,555,520,707,768,637,049,598,060,307,190,761,712,529,326,
228,126,938,907,270,420,337,240,559,913,372,617,546,823,377,050,595,922,861,
760,747,069,634,104,416,253,177,365,504,743,746,322,395,659,732,393,935,089,
549,513,215,448,220,038,897,793,174,082,266,383,686,102,037,507,122,911,207,
935,642,150,197,156,776,953,107,534,156,616,042,852,056,462,641,587,741,392,
985,108,320,600,714,089,385,822,669,094,735,064,011,847,888,059,334,087,529,
012,191,934,694,100,305,770,925,110,111,106,420,567,129,515,326,652,802,344,
627,170,807,564,834,592,688,046,323,325,445,012,253,876,732,442,094,309,817,
013,346,161,156,444,316,573,675,742,622,676,047,528,514,673,681,218,251,509,
159,034,483,345,641,013,275,399,569,118,297,845,387,542,417,995,978,593,047,
002,012,106,770,114,011,705,616,449,732,071,789,813,992,134,960,632,043,203,
266,626,759,784,389,366,723,002,095,712,014,184,684,386,302,700,633,464,659,
773,688,273,673,792,305,581,662,812,136,380,042,779,666,718,676,649,515,148,
882,672,747,872,920,276,375,298,861,624,738,311,376,983,884,718,357,503,098,
780,303,407,395,095,505,216,747,245,612,086,947,398,387,413,699,016,629,402,
983,322,508,128,683,755,693,326,279,065,088,868,683,764,757,822,737,768,775,
922,592,731,245,283,726,770,527,811,688,406,396,821,568,816,178,873,932,261,
872,401,153,572,571,124,999,820,970,250,567,968,730,426,863,442,760,652,120,
053,788,797,410,807,438,642,086,972,510,898,419,229,422,323,110,736,079,371,
984,126,465,749,055,973,357,323,825,586,172,400,094,492,908,442,222,519,500,
220,574,911,899,274,824,936,815,503,833,447,494,178,893,096,018,366,038,688,
450,273,827,009,928,662,512,194,265,451,321,560,280,788,002,000,595,216,288,
607,695,267,958,500,122,749,160,848,599,789,937,597,661,466,597,572,040,780,
173,646,545,792,553,608,160,112,792,381,437,368,983,410,323,378,846,900,923,
121,057,188,223,553,705,425,955,476,450,779,295,363,273,773,986,930,472,583,
424,031,982,489,116,140,551,549,635,732,015,716,064,575,498,086,802,141,731,
651,238,112,284,497,273,450,460,193,973,223,870,012,802,764,895,925,834,061,
067,757,909,708,524,245,393,175,684,206,985,323,778,994,693,431,713,657,910,
609,773,855,960,696,796,114,215,336,302,975,339,558,573,873,803,390,216,744,
334,309,651,400,030,832,250,453,482,601,023,661,057,164,466,197,382,808,201,
659,537,893,550,199,151,140,352,080,862,299,622,271,470,015,859,762,955,306,
962,570,883,073,750,042,123,677,644,209,847,791,796,064,102,605,563,438,884,
986,476,209,358,135,993,949,949,637,358,859,284,379,061,279,347,549,658,978,
345,775,099,213,756,078,855,443,448,442,978,945,689,343,896,085,334,425,017,
268,855,503,963,790,958,081,490,686,570,159,244,250,365,269,336,979,775,153,
840,746,741,818,565,261,395,103,080,129,822,960,286,223,873,273,141,510,678,
382,893,672,327,801,646,827,134,789,265,117,939,247,454,557,426,048,963,295,
750,070,018,770,317,753,322,581,409,273,284,042,328,645,371,063,773,640,887,
068,158,626,632,292,210,861,954,654,293,032,684,494,204,675,853,365,839,440,
185,491,024,523,315,455,238,281,671,840,874,935,202,100,318,042,208,625,553,
567,285,095,490,141,162,244,164,714,655,062,009,586,555,413,408,209,595,364,
817,210,096,344,789,353,725,091,723,915,897,422,954,860,959,349,789,210,319,
017,148,667,848,340,243,017,185,017,492,356,230,028,179,168,106,987,884,785,
259,162,579,658,102,683,061,274,336,812,197,672,032,481,217,429,366,928,979,
134,576,123,852,720,047,968,026,804,898,175,255,589,512,296,230,208,801,921,
681,471,381,893,352,530,114,290,724,793,208,247,758,394,076,886,296,766,752,
055,963,844,314,559,224,601,342,759,249,019,344,582,109,787,263,243,312,807,
617,886,269,625,570,452,539,120,105,378,369,162,126,299,910,214,806,160,913,
599,272,601,760,602,790,392,022,857,534,986,408,499,506,805,476,047,312,564,
992,701,178,097,794,296,919,597,735,072,201,986,505,562,628,744,537,000,437,
905,697,833,113,347,158,571,811,735,343,589,146,768,086,306,031,165,049,693,
869,854,131,599,558,141,441,185,857,179,130,153,560,252,112,581,833,796,806,
828,659,362,418,670,574,563,275,255,084,927,470,221,471,165,393,509,082,359,
595,682,114,380,843,754,310,849,203,489,888,421,614,611,575,049,943,292,266,
894,825,771,662,767,492,556,242,088,049,573,340,731,465,261,697,435,503,364,
759,343,008,588,971,351,112,487,281,302,834,226,513,649,112,397,525,139,165,
050,877,138,294,873,361,382,607,467,414,203,394,036,186,155,481,780,101,156,
879,909,969,023,644,727,167,610,836,979,966,625,519,439,981,610,240,705,203,
135,240,353,293,880,556,529,360,736,217,347,166,001,755,403,271,683,680,478,
925,909,747,180,916,205,783,383,980,283,658,337,823,352,651,822,695,510,679,
234,392,939,417,189,095,105,365,843,516,511,844,242,775,363,106,634,962,249,
816,718,760,854,781,128,734,831,549,775,719,133,417,583,404,775,515,348,867,
335,877,267,910,626,290,510,591,225,868,951,686,916,297,068,837,203,419,336,
119,661,226,231,232,223,945,242,360,674,399,444,627,216,257,089,770,572,767,
215,421,027,642,343,050,503,297,825,710,503,810,089,445,183,863,270,813,694,
620,353,564,898,610,496,438,676,926,038,054,123,087,182,603,943,965,099,989,
501,749,696,522,546,245,947,007,253,086,001,076,697,337,651,604,701,094,803,
765,071,455,971,604,812,542,103,293,891,228,261,316,990,822,648,285,788,871,
254,512,656,690,575,526,670,714,504,767,173,639,079,035,398,436,569,348,454,
755,891,420,237,844,932,303,468,983,703,545,401,794,946,781,603,135,911,066,
701,204,630,640,298,794,723,370,573,746,586,509,766,560,007,799,591,173,511,
919,730,463,974,495,812,229,461,999,011,788,834,799,815,030,652,541,219,360,
411,358,970,424,418,533,553,122,233,364,186,880,783,538,181,510,810,970,528,
754,560,835,129,779,485,877,694,636,023,633,111,414,868,784,007,251,862,956,
177,185,432,939,193,949,595,063,241,926,462,770,756,069,283,001,412,677,769,
385,951,053,870,692,976,982,992,527,856,897,718,647,685,125,756,244,032,299,
507,858,822,853,641,941,052,642,675,632,246,950,769,606,061,684,482,497,034,
741,560,976,628,527,825,340,442,604,658,502,069,867,354,450,144,337,259,675,
829,567,204,253,143,244,609,688,850,284,615,556,047,341,485,120,514,656,535,
515,597,147,810,044,303,413,074,409,910,169,694,843,203,608,518,533,180,204,
622,384,384,902,842,475,417,291,214,363,217,504,046,835,227,558,243,718,588,
311,314,406,634,272,517,448,466,809,029,101,007,126,210,931,379,981,308,409,
226,992,331,194,115,604,851,769,527,810,403,620,877,520,977,672,385,240,141,
921,417,650,337,227,628,059,854,965,282,993,646,520,852,485,504,109,233,645,
042,055,775,699,296,075,510,686,910,515,952,287,483,751,858,226,419,993,414,
878,880,949,143,537,613,525,652,309,908,453,366,685,763,727,758,617,771,377,
718,442,596,540,944,602,542,525,106,159,277,742,770,598,036,968,828,591,200,
382,745,631,819,923,843,600,279,135,433,968,300,825,338,752,021,168,089,217,
832,234,202,766,106,581,215,977,284,207,149,836,181,319,154,356,460,836,986,
560,915,447,385,418,935,050,061,485,182,495,691,241,482,960,850,442,858,898,
028,084,846,976,351,765,071,658,619,476,605,669,554,234,142,363,606,412,003,
097,981,161,994,579,956,454,218,138,379,478,365,768,333,268,965,076,537,909,
734,272,875,496,681,026,192,301,761,782,091,818,078,215,517,514,569,788,473,
762,898,991,311,785,315,594,325,005,086,859,921,542,460,359,544,141,262,011,
588,007,922,487,681,920,866,834,050,857,592,109,651,569,686,116,057,559,430,
037,426,270,254,672,684,189,420,105,979,800,261,012,430,106,275,952,930,319,
337,648,618,328,898,855,731,025,939,633,313,236,771,775,321,793,890,196,036,
074,491,283,109,482,428,242,619,203,727,822,996,286,106,104,968,213,025,467,
983,146,717,453,066,138,545,174,334,970,228,143,962,180,083,097,943,666,533,
855,861,398,464,773,810,264,089,034,796,477,122,091,306,241,550,781,555,414,
922,877,980,609,291,184,711,866,937,849,497,379,133,534,848,451,287,838,958,
316,261,450,149,136,366,016,075,600,541,586,755,242,950,640,108,925,446,194,
270,098,751,727,353,457,540,776,729,154,723,194,436,025,793,742,043,076,300,
971,395,457,804,428,703,010,900,961,943,736,761,566,682,613,033,817,703,758,
439,499,886,432,340,661,193,844,130,742,233,012,011,297,358,561,337,601,852,
370,821,893,124,210,607,932,184,176,712,473,641,255,890,380,846,967,713,495,
380,869,047,263,344,017,912,927,704,525,346,197,729,406,071,526,013,605,273,
830,546,322,148,201,649,476,178,657,577,176,344,710,427,041,340,631,521,421,
733,878,411,651,193,433,182,534,113,365,626,638,718,756,501,672,257,961,854,
331,968,879,725,952,376,487,083,695,547,929,476,104,049,294,436,556,040,968,
450,309,668,920,983,712,500,661,990,535,113,723,340,895,004,827,911,912,307,
709,602,983,571,164,377,213,979,408,684,322,943,410,566,553,903,211,569,317,
137,303,978,345,614,180,053,288,940,631,133,953,648,426,885,635,426,570,473,
050,527,287,613,088,849,254,208,845,081,624,926,526,602,288,562,696,015,977,
071,430,506,533,859,737,802,062,251,742,650,546,017,908,910,941,063,313,577,
869,842,858,109,361,941,863,089,959,626,626,135,086,263,653,255,144,677,719,
422,440,717,169,361,489,359,271,442,776,736,789,671,068,959,284,015,528,238,
622,867,028,564,769,378,777,393,695,789,285,510,510,532,782,603,934,930,209,
549,817,336,632,610,914,634,945,911,502,071,647,100,853,347,015,089,895,069,
952,631,529,516,142,976,129,151,872,528,776,500,800,059,444,891,503,086,705,
798,267,022,288,520,435,157,246,878,253,026,998,899,950,834,868,658,782,021,
656,138,735,193,506,775,459,939,918,167,420,770,589,502,766,922,109,989,911,
585,580,379,525,364,567,976,734,385,152,366,455,741,961,977,528,026,296,525,
215,954,506,163,170,258,077,224,796,185,389,018,579,524,172,652,209,320,414,
952,849,578,949,815,058,173,465,703,588,253,478,242,921,524,875,556,080,333,
889,549,099,342,134,750,167,012,041,062,565,550,575,547,616,138,060,980,769,
939,488,338,241,690,647,817,951,913,290,358,737,491,793,054,674,649,861,124,
326,495,325,015,813,873,666,176,199,931,100,460,630,176,967,211,734,820,153,
029,535,600,343,471,582,531,838,403,937,581,025,152,826,794,816,780,105,875,
554,454,987,317,614,859,139,589,519,421,913,644,206,371,576,698,188,523,921,
590,773,194,946,852,274,912,076,882,537,278,467,831,346,160,080,606,547,515,
727,744,427,157,791,203,751,549,585,162,885,016,485,666,481,110,906,566,159,
281,956,244,287,778,327,550,280,105,836,950,518,791,349,043,639,284,005,181,
751,542,137,664,289,937,640,810,041,435,782,439,429,870,985,679,745,810,583,
807,291,132,893,887,304,506,661,140,090,774,630,449,976,141,807,466,513,377,
890,328,673,961,111,083,716,997,253,413,509,239,025,937,345,232,241,262,190,
749,557,659,561,125,264,571,690,145,268,970,531,403,968,211,724,933,373,145,
672,277,745,036,337,225,557,401,676,658,342,771,217,404,289,845,515,456,159,
401,997,843,088,117,650,077,452,728,480,208,773,673,382,877,243,690,899,339,
976,871,383,461,379,426,289,574,845,029,377,117,112,654,349,766,078,993,604,
424,718,997,360,622,010,318,868,048,101,666,375,159,390,630,734,310,048,935,
955,452,349,804,213,987,983,157,131,758,570,862,443,959,946,145,485,828,287,
982,469,844,654,085,041,325,508,261,237,164,647,414,634,060,676,057,214,396,
849,593,789,600,555,913,525,865,667,895,025,102,198,612,758,790,150,106,093,
965,075,250,952,416,252,362,002,509,451,915,897,653,599,022,969,123,468,090,
571,754,921,484,837,957,210,160,639,860,003,677,760,285,788,047,525,073,591,
533,985,255,658,822,071,179,107,125,716,537,090,153,339,906,913,122,141,151,
282,474,735,002,368,556,569,160,849,836,586,210,406,477,582,170,216,601,058,
788,350,079,527,871,931,417,297,722,644,510,045,851,419,809,692,993,088,989,
111,962,052,741,291,650,816,758,950,793,047,632,676,132,291,115,066,170,106,
987,246,855,551,314,808,250,841,408,577,659,531,650,188,850,040,757,676,889,
043,916,808,669,477,597,093,074,554,313,622,840,567,956,623,504,879,658,774,
060,928,794,184,123,176,197,614,075,315,673,727,675,857,394,634,128,800,994,
199,105,591,137,486,530,775,519,862,023,166,646,398,768,121,445,283,781,159,
799,353,176,519,735,194,643,814,485,369,240,481,933,403,327,566,646,620,547,
607,034,592,852,865,299,748,382,792,024,263,083,271,767,758,563,192,670,169,
861,855,923,614,294,034,719,033,690,541,300,632,666,961,139,063,062,595,099,
821,665,782,528,846,693,679,439,624,779,726,811,372,320,100,281,891,687,294,
254,318,370,952,948,358,913,963,434,251,291,368,369,300,337,260,453,122,350,
862,460,687,471,382,302,269,911,228,644,681,657,398,247,972,686,051,814,550,
069,053,268,302,651,538,649,513,121,523,295,771,667,669,952,436,322,499,738,
815,234,150,723,262,224,873,158,381,317,826,226,599,627,537,647,198,811,533,
994,811,117,033,017,114,545,422,808,528,689,499,272,297,850,762,834,082,266,
222,413,204,922,288,879,909,108,374,239,354,930,445,772,256,528,368,410,691,
445,253,943,831,831,512,387,248,361,698,765,636,837,907,636,519,967,080,021,
924,681,796,927,665,644,461,996,976,193,782,494,674,007,158,606,418,127,530,
697,596,852,436,578,220,457,515,006,645,725,356,482,985,324,645,078,436,955,
397,007,177,056,515,377,618,940,553,461,632,577,341,549,697,922,639,121,501,
532,712,095,465,617,019,159,519,447,049,800,109,922,832,396,449,281,560,003,
902,814,103,210,132,904,955,366,927,785,679,131,977,594,323,829,846,848,579,
847,260,313,199,250,153,831,551,608,445,281,938,377,172,260,289,721,241,243,
835,919,283,029,931,566,869,672,852,908,765,990,637,967,155,818,859,684,280,
606,720,998,951,762,765,193,558,385,855,559,457,198,561,112,537,766,961,477,
187,401,607,570,119,296,571,894,784,214,072,325,522,552,097,508,084,202,233,
395,644,056,611,847,887,143,906,201,032,266,729,669,066,108,873,013,033,385,
462,788,014,107,303,693,630,081,738,511,164,195,213,149,175,486,184,108,978,
813,327,384,022,130,882,225,927,233,626,761,840,674,610,268,419,617,268,643,
198,544,285,525,828,853,530,593,275,773,711,584,975,661,368,580,494,889,883,
215,632,434,575,874,886,885,508,700,941,834,020,968,767,682,107,043,953,055,
613,850,536,693,270,879,046,891,427,380,391,873,538,457,096,189,103,902,882,
135,507,946,378,421,865,056,277,541,995,530,032,844,407,559,350,660,229,931,
442,618,538,523,119,200,514,584,412,870,753,067,681,710,712,440,523,291,658,
701,381,912,561,887,489,893,068,757,565,638,132,587,196,054,284,616,988,075,
986,059,479,200,085,694,548,855,098,447,855,853,828,533,253,313,488,490,682,
419,904,298,992,555,152,208,581,865,293,885,986,433,217,246,927,911,626,818,
773,735,377,312,487,613,326,260,817,965,437,283,158,537,081,779,411,948,769,
393,945,016,373,351,422,583,136,266,614,653,194,054,896,917,093,736,139,888,
157,524,133,241,420,037,674,684,526,808,569,389,895,210,688,036,853,466,609,
302,072,240,837,449,509,099,112,967,199,412,936,305,615,047,650,350,421,520,
201,696,965,851,125,704,987,421,385,071,497,314,984,315,189,023,782,524,170,
211,304,029,296,207,652,350,310,377,650,297,623,799,608,211,929,733,314,220,
131,042,729,421,409,211,955,870,799,239,090,423,721,471,830,660,557,524,281,
660,692,813,902,394,160,192,150,952,271,610,389,681,120,367,650,278,594,444,
860,536,598,799,113,869,322,987,426,395,961,113,036,303,975,884,716,928,736,
295,096,069,425,810,343,253,743,308,403,537,450,839,238,351,202,825,409,963,
896,989,209,155,221,293,884,605,850,141,414,424,524,016,577,611,766,482,541,
981,848,922,143,759,205,218,357,022,498,857,615,418,240,193,182,478,953,493,
331,407,493,705,779,084,068,710,177,639,398,633,848,454,806,456,699,458,713,
004,030,899,309,360,836,981,758,592,290,718,764,429,379,609,658,167,427,789,
293,485,158,271,139,492,717,741,931,494,739,516,745,336,528,864,269,180,536,
786,077,454,522,628,958,129,429,723,086,087,098,113,131,841,236,968,107,366,
821,937,500,456,167,201,320,783,747,429,121,773,262,727,559,362,363,007,176,
993,839,759,013,206,712,203,763,486,151,019,938,854,979,866,218,526,417,152,
204,375,122,598,389,198,218,761,958,477,183,270,889,725,325,022,824,308,586,
802,904,351,453,700,906,751,714,207,265,934,755,866,748,333,538,720,950,121,
573,983,480,590,329,400,746,523,951,778,798,167,523,370,594,980,776,183,220,
601,181,398,787,885,816,178,232,412,035,560,122,197,460,170,834,156,368,211,
547,288,570,563,386,340,811,290,142,263,344,161,661,311,281,964,855,780,851,
443,269,538,451,033,441,793,306,183,184,583,921,090,038,880,961,306,533,901,
152,361,371,673,653,043,928,992,313,219,810,479,942,332,056,761,056,314,606,
981,228,637,147,263,272,654,679,225,408,535,700,267,598,122,225,257,611,168,
010,915,778,145,907,812,730,673,708,872,777,814,206,045,388,459,946,463,509,
741,524,036,334,760,807,850,964,793,628,969,563,926,806,282,200,310,178,843,
954,257,748,824,143,920,486,259,841,249,958,724,839,822,505,182,711,493,389,
188,572,681,010,170,729,740,976,010,161,117,656,134,706,970,220,144,052,435,
901,496,346,448,230,451,430,799,665,620,831,366,205,700,000,722,362,700,301,
611,856,155,170,024,761,451,512,219,490,636,388,800,303,824,994,307,493,680,
802,167,805,990,978,255,037,012,107,318,072,961,396,407,247,052,078,227,795,
970,852,323,830,968,370,558,010,744,984,230,230,082,749,479,478,660,095,937,
316,885,090,246,528,201,534,255,490,088,065,059,620,075,076,840,018,706,418,
388,681,684,487,968,046,287,124,474,124,974,321,230,248,525,615,504,718,214,
101,573,238,958,848,610,299,682,302,038,123,261,332,954,625,791,526,617,976,
203,181,013,935,680,841,609,841,438,498,288,567,496,231,534,343,357,378,896,
917,466,727,861,206,608,135,755,866,134,008,109,663,838,460,405,660,099,349,
829,354,538,685,775,310,080,961,456,136,311,360,089,064,404,473,444,528,021,
519,679,963,082,153,549,402,503,508,362,400,534,781,511,942,337,972,783,262,
720,297,215,393,278,193,028,198,197,286,061,172,459,034,389,389,920,637,922,
132,075,170,713,177,957,538,855,944,111,403,106,539,425,227,412,196,166,160,
658,388,888,688,100,318,756,822,983,522,050,610,504,521,282,338,299,419,324,
784,870,850,502,168,171,147,254,537,167,972,269,732,390,405,822,381,248,817,
147,058,169,800,373,048,757,956,891,262,621,454,398,047,904,229,141,801,943,
285,998,285,795,032,212,245,457,330,442,584,546,938,997,129,272,508,265,631,
243,903,566,270,458,681,588,654,916,038,398,813,104,309,372,886,481,692,065,
261,602,621,026,146,209,302,476,669,723,052,072,241,122,501,785,602,644,973,
243,451,718,844,218,475,156,929,872,578,418,459,783,588,265,259,561,446,444,
504,621,920,431,750,526,225,852,137,345,970,532,105,687,183,693,404,983,391,
311,177,557,533,504,041,358,241,288,298,260,712,609,922,880,845,537,902,226,
965,025,743,881,785,704,722,861,082,413,085,306,763,288,786,347,111,664,544,
738,203,867,003,193,579,667,511,513,812,676,268,522,045,172,067,531,308,307,
303,952,219,465,556,799,089,355,418,009,217,450,852,700,315,217,491,697,039,
491,444,219,387,565,263,162,423,372,020,400,283,621,139,830,850,408,173,273,
972,058,789,150,488,120,119,228,173,834,668,273,254,334,379,409,257,047,468,
962,780,466,431,268,666,721,428,368,768,520,444,241,861,309,020,737,168,162,
606,619,691,780,877,893,584,267,639,977,648,895,295,391,930,524,324,660,987,
245,596,007,650,534,524,021,457,948,022,273,489,968,299,692,261,621,235,185,
105,963,440,750,646,349,957,748,799,052,462,382,393,813,314,245,345,646,730,
081,308,534,802,148,149,930,990,833,122,612,357,445,061,579,958,693,326,952,
405,729,489,125,205,644,015,644,602,705,839,302,472,752,445,425,563,141,132,
800,868,046,438,413,562,488,413,965,769,919,619,557,398,748,242,274,407,045,
981,329,575,932,670,834,267,426,812,681,057,794,309,719,899,382,597,857,952,
492,380,967,406,966,290,344,166,426,615,058,637,208,068,744,933,747,106,003,
686,125,843,615,658,043,382,954,884,125,607,039,116,922,563,035,370,284,914,
700,602,697,946,276,844,941,306,795,014,891,151,335,908,081,697,057,499,027,
543,100,674,672,284,004,371,351,675,059,677,245,749,200,973,020,042,888,692,
491,191,892,935,249,953,823,349,233,663,613,340,530,426,278,819,146,346,223,
887,387,646,960,459,827,981,180,891,571,548,136,271,358,079,121,258,943,556,
251,303,875,139,322,419,185,599,223,093,109,625,611,796,174,962,082,218,397,
268,361,204,086,603,157,171,699,934,723,160,770,261,158,220,085,925,000,823,
345,847,958,584,895,207,131,287,365,150,312,443,266,410,381,340,396,083,216,
899,758,573,879,853,611,741,293,147,956,504,008,988,028,889,671,497,977,852,
145,901,376,650,297,231,220,919,215,014,865,698,925,591,769,673,226,880,961,
851,553,328,454,003,459,322,684,733,421,579,462,430,118,411,170,328,009,468,
344,742,301,466,954,773,471,681,169,588,653,199,170,522,466,252,266,427,528,
007,204,707,973,734,265,346,354,942,601,460,271,998,246,542,464,365,525,779,
340,170,756,315,328,708,411,020,584,362,077,510,912,012,012,385,163,260,747,
498,051,297,113,471,666,431,033,955,127,320,649,233,469,719,352,191,786,023,
610,544,684,744,111,297,275,771,862,895,915,284,569,127,368,071,724,672,896,
436,908,014,666,494,243,155,198,927,943,281,226,932,891,843,939,244,567,643,
302,654,534,972,313,501,860,019,302,109,686,063,177,129,984,793,548,491,862,
885,705,704,588,167,301,322,179,565,809,915,291,457,617,274,158,787,491,746,
335,489,211,785,536,376,688,733,462,278,756,297,669,821,307,043,488,824,565,
672,582,408,711,262,978,591,322,529,197,513,080,113,627,032,262,835,669,032,
776,835,280,087,377,204,467,362,000,207,853,697,481,950,497,429,484,459,610,
071,136,232,721,517,792,009,991,953,105,251,305,603,651,086,421,380,549,262,
883,173,468,284,794,379,315,058,983,149,991,376,137,216,877,382,754,675,832,
688,212,786,317,819,879,059,931,077,725,185,009,371,875,639,458,485,634,245,
437,539,779,438,887,179,897,413,438,423,312,885,140,903,985,082,697,236,312,
870,075,694,283,027,729,170,470,311,955,585,314,273,767,960,841,473,939,956,
285,861,870,418,584,858,780,154,812,060,168,100,852,111,847,265,438,171,743,
073,269,112,412,454,058,317,434,872,513,334,149,532,719,988,797,510,289,833,
406,492,310,910,041,518,568,728,613,702,240,096,682,884,109,388,420,649,378,
108,733,136,391,153,372,770,392,957,575,160,330,880,324,000,125,265,562,246,
100,102,900,424,307,097,543,221,789,609,954,489,677,644,751,956,882,505,269,
686,473,977,091,385,714,842,808,973,793,006,661,112,439,234,314,508,546,502,
594,877,390,989,654,342,670,894,263,214,141,408,809,786,682,849,626,171,496,
029,604,733,401,799,098,312,118,794,548,024,180,861,615,801,529,171,236,912,
036,589,796,480,159,739,633,106,235,321,900,875,853,121,770,203,912,776,788,
797,751,809,632,330,638,838,333,315,586,807,037,130,387,450,944,557,825,965,
965,926,298,569,961,335,653,804,457,435,887,429,446,833,704,345,241,907,699,
452,999,826,845,736,075,798,096,114,426,504,519,647,847,329,883,325,912,393,
197,959,746,245,001,560,238,674,226,833,276,952,197,856,641,316,521,416,052,
586,936,446,169,666,805,434,242,292,041,133,838,749,502,686,442,130,517,477,
840,910,225,184,971,264,887,037,372,416,436,044,847,361,074,303,294,339,210,
050,414,799,254,142,991,010,525,175,827,863,469,378,932,003,298,578,384,772,
993,421,055,049,861,973,734,542,638,397,851,927,671,874,618,136,834,173,235,
516,464,973,324,925,621,760,514,364,079,489,170,150,353,278,222,747,203,308,
626,735,382,002,417,205,572,151,500,517,705,514,151,184,887,539,747,369,565,
031,615,405,841,125,216,610,476,425,707,365,145,369,670,342,028,118,800,176,
305,780,419,242,176,865,614,180,023,250,842,795,987,217,832,687,271,676,546,
423,175,007,155,036,513,339,529,458,765,719,149,386,331,283,143,155,500,740,
181,745,546,014,161,499,193,739,418,693,801,147,215,932,811,196,376,195,223,
453,811,937,742,746,760,355,348,498,139,343,946,014,538,903,991,415,486,595,
291,519,199,080,071,612,587,540,268,091,652,493,905,219,514,301,124,571,624,
334,175,961,936,102,898,833,763,392,121,474,399,402,436,124,764,440,313,284,
325,915,585,823,902,934,180,564,046,131,011,036,675,306,469,588,412,786,689,
129,764,046,561,326,950,497,264,708,823,015,857,227,610,570,822,912,358,759,
140,327,543,209,965,011,947,299,650,246,746,164,928,676,274,949,440,729,146,
782,120,570,971,872,566,711,608,927,895,990,769,097,754,557,523,913,155,497,
768,850,079,691,726,426,211,637,192,174,033,014,628,157,890,067,373,331,063,
602,341,301,058,893,391,070,456,259,856,176,378,433,498,691,925,165,706,865,
527,207,197,086,000,563,040,427,805,614,413,614,263,992,398,230,431,366,621,
678,057,741,769,331,971,787,105,654,826,677,202,861,752,393,858,677,136,162,
020,709,124,280,365,561,599,066,368,033,785,885,378,686,067,379,342,095,349,
819,049,488,382,804,958,828,232,863,515,199,691,473,574,959,845,844,753,057,
180,088,921,787,226,811,552,356,592,663,703,680,855,742,100,601,926,868,201,
173,240,557,389,948,563,307,634,718,762,763,625,016,320,209,456,622,762,922,
202,698,499,389,123,110,604,666,152,352,468,952,790,276,679,456,392,313,083,
311,516,286,295,661,841,856,400,902,898,791,594,379,212,543,979,694,992,666,
777,966,552,788,456,842,687,300,582,046,009,031,787,304,385,972,927,603,063,
616,901,820,979,543,293,377,000,023,602,724,600,446,994,227,521,699,246,968,
931,420,879,813,811,744,584,578,947,112,816,209,675,479,475,247,578,771,718,
380,068,358,584,766,526,819,960,922,227,522,627,422,894,115,076,660,348,335,
251,569,791,903,709,505,801,708,345,675,934,339,248,585,275,583,143,427,404,
625,632,218,992,093,829,560,774,816,891,642,170,205,832,532,567,107,707,468,
937,732,317,262,582,161,564,300,484,082,116,519,677,379,335,156,520,915,558,
083,477,196,259,066,193,491,325,970,537,193,835,473,927,203,340,326,747,211,
669,503,595,735,501,460,979,835,594,518,069,230,642,232,048,947,167,230,322,
792,443,267,792,567,538,102,853,241,761,513,075,031,802,573,810,966,456,420,
103,374,656,827,580,791,512,545,375,343,109,356,619,892,024,223,014,880,654,
427,735,327,984,208,537,146,106,970,026,386,231,620,869,422,228,689,707,766,
314,047,342,758,714,272,974,342,915,809,616,448,558,451,318,847,151,594,425,
510,783,180,917,914,126,940,764,426,317,122,403,371,458,494,105,156,255,318,
626,826,459,400,996,066,611,413,180,244,143,659,341,422,932,685,742,210,090,
116,708,636,651,195,796,586,591,132,104,594,321,360,035,137,365,908,873,435,
555,863,176,223,559,101,576,624,782,771,569,436,164,332,283,419,813,419,725,
458,280,666,937,058,398,357,686,856,695,177,573,526,067,354,226,771,742,263,
289,522,520,378,828,625,118,328,360,063,249,701,749,171,593,350,085,470,016,
489,193,616,430,474,575,121,107,652,534,229,135,451,725,612,039,678,280,636,
478,227,418,862,119,646,678,532,640,054,759,353,095,587,753,853,449,172,516,
071,036,796,647,803,002,805,728,064,165,614,978,996,467,859,813,103,579,554,
533,670,417,174,067,135,947,257,995,693,850,035,287,194,812,633,337,686,427,
002,060,108,936,338,702,147,765,388,687,432,681,838,297,234,073,155,927,285,
982,440,332,344,627,495,311,246,689,983,303,887,913,995,431,482,839,057,776,
364,909,201,804,186,561,875,583,051,840,370,180,358,161,031,486,099,347,273,
433,748,587,050,853,967,751,759,261,501,869,302,885,865,528,153,076,836,965,
979,054,044,234,370,446,169,801,623,967,130,502,748,434,243,319,466,577,398,
980,388,004,112,689,206,803,234,246,327,509,101,446,405,441,510,578,792,604,
969,226,503,102,439,495,219,873,707,071,285,133,378,157,415,568,467,575,684,
134,646,665,417,125,766,123,878,294,730,833,303,048,163,977,184,887,999,393,
966,871,539,380,301,629,682,134,624,290,786,019,232,274,023,218,815,384,945,
963,713,352,794,050,896,681,014,602,803,595,657,929,756,848,418,587,246,079,
442,568,972,066,549,106,215,643,394,133,091,580,709,016,086,325,841,375,859,
788,387,768,505,344,770,821,215,029,726,514,753,654,065,137,671,091,539,142,
597,834,992,298,242,985,428,381,547,828,965,832,197,697,808,836,249,068,917,
767,159,698,328,140,235,831,051,715,716,588,476,666,505,311,790,659,916,998,
486,246,781,592,340,716,221,802,907,300,395,775,672,101,182,009,635,688,063,
274,230,413,640,670,965,121,431,668,333,149,137,462,377,662,535,385,905,017,
348,606,457,905,746,205,450,088,533,256,132,283,405,675,102,809,122,156,362,
882,675,256,934,658,205,129,147,893,548,817,299,452,805,711,807,471,369,671,
479,677,810,245,600,320,994,920,054,402,760,480,808,230,664,710,116,519,416,
745,016,608,743,053,317,166,947,584,994,535,348,627,071,035,638,775,518,112,
128,704,194,530,925,804,070,227,476,688,124,738,159,886,677,942,630,886,050,
600,015,506,562,214,247,949,034,423,391,611,378,010,938,765,682,337,613,428,
652,984,778,677,100,315,365,765,004,616,759,841,879,520,376,907,134,691,268,
065,666,658,061,202,950,532,097,275,004,369,794,919,819,653,754,449,597,445,
881,747,228,796,099,098,831,357,061,861,815,549,830,171,956,063,489,269,161,
320,802,359,542,267,159,594,945,788,438,387,002,407,440,553,768,340,851,819,
612,052,340,392,406,342,781,563,521,827,115,451,750,228,132,981,821,644,619,
252,969,995,396,871,215,593,439,008,740,745,520,939,643,984,561,868,951,466,
438,171,123,307,302,254,794,406,058,723,802,368,903,653,637,733,081,994,515,
760,021,943,080,843,636,076,317,423,636,602,265,699,456,459,648,337,826,865,
938,621,368,892,824,523,079,370,833,152,741,964,596,059,642,239,986,184,492,
281,818,462,276,140,704,872,468,701,337,525,151,070,731,710,123,716,970,123,
097,433,747,024,205,048,377,066,295,863,975,014,938,173,378,642,611,475,496,
025,438,571,785,903,205,136,004,632,900,101,740,042,664,158,389,524,831,722,
755,749,409,384,259,075,659,358,786,424,074,513,417,044,976,127,496,369,643,
388,307,317,160,118,747,272,311,810,854,380,219,026,843,235,527,270,322,845,
301,133,098,460,102,501,793,086,724,339,841,809,134,055,637,670,156,243,491,
264,033,440,284,609,738,445,969,355,277,175,866,272,193,452,465,633,913,735,
315,409,606,463,370,867,472,889,327,444,195,243,703,156,848,252,681,194,618,
625,890,674,076,925,969,695,314,010,806,132,668,997,269,783,001,748,853,271,
165,217,859,952,925,142,606,101,379,916,138,124,915,995,543,057,026,243,819,
852,341,292,837,276,471,733,362,231,265,024,661,662,419,021,178,758,821,918,
474,194,195,109,334,648,125,532,647,657,322,664,702,844,054,163,642,406,775,
671,897,845,982,945,781,609,540,412,313,423,482,668,046,201,799,330,881,306,
683,209,073,642,715,183,632,302,880,933,113,622,794,361,361,137,276,951,289,
734,994,399,537,751,266,985,550,461,905,587,013,800,918,613,578,915,581,201,
252,681,395,770,618,747,499,797,207,954,758,281,775,253,116,969,133,431,391,
213,542,210,576,314,557,414,396,385,736,566,723,142,509,603,301,233,921,736,
989,257,336,270,385,633,159,171,015,558,649,005,909,888,646,723,368,851,890,
653,907,904,527,603,713,513,330,418,362,767,975,448,106,390,364,991,077,557,
805,860,455,149,718,907,583,871,224,329,192,789,639,028,843,643,062,004,666,
552,912,773,053,765,580,111,561,808,929,952,684,526,964,503,234,327,819,337,
354,427,882,249,023,665,768,466,186,465,730,214,787,749,748,057,484,377,688,
687,842,908,343,647,092,089,446,575,717,329,676,494,669,756,086,358,907,389,
996,272,718,853,020,245,428,410,171,692,152,063,922,184,276,918,987,330,753,
930,269,012,771,084,874,480,450,366,703,245,076,830,506,459,067,777,567,991,
993,564,604,320,247,373,151,067,037,843,237,359,526,215,821,139,108,459,951,
237,762,796,566,952,548,070,833,400,363,323,240,061,984,573,731,229,827,686,
579,994,707,458,277,943,327,541,936,756,851,354,901,360,548,255,249,668,229,
561,758,235,194,696,631,893,452,889,097,523,505,235,842,532,133,272,643,031,
446,708,276,201,970,490,747,554,784,669,871,252,874,528,588,168,164,145,592,
789,240,846,703,469,320,507,444,904,231,545,339,691,801,799,766,884,380,479,
498,325,601,954,979,144,648,112,820,868,159,267,705,912,619,072,314,233,139,
941,585,232,995,990,890,737,446,108,522,467,480,777,112,425,048,254,444,514,
320,362,137,088,138,283,245,983,039,482,057,485,427,309,919,745,949,646,122,
761,794,395,569,803,500,493,493,229,509,710,685,396,637,939,310,409,887,221,
058,370,872,047,831,501,368,191,355,084,811,342,730,229,254,671,580,002,702,
685,753,210,513,360,568,955,115,762,214,345,278,238,646,400,562,526,327,613,
541,801,815,081,809,711,261,214,087,105,011,694,735,798,458,430,159,090,003,
015,230,806,975,797,227,973,880,685,053,395,158,923,095,010,270,470,741,890,
260,255,966,526,907,105,057,529,278,964,895,915,254,727,957,722,926,361,196,
311,278,802,394,559,898,774,357,400,719,994,323,666,442,429,275,209,096,109,
856,907,372,774,538,422,362,144,208,479,291,137,922,430,383,900,056,031,035,
724,163,417,017,412,173,409,000,458,701,042,180,538,679,411,402,608,121,602,
040,898,827,442,742,038,590,725,094,323,203,447,649,145,590,575,005,061,374,
109,440,778,832,276,087,414,096,502,006,928,883,632,262,026,806,350,293,159,
647,150,730,214,900,554,829,498,195,206,047,498,634,570,815,618,204,006,504,
651,694,350,440,497,774,684,081,609,415,309,390,532,723,671,521,975,364,859,
200,355,608,156,417,901,842,211,320,455,847,031,676,320,757,121,879,556,475,
729,772,993,116,909,918,554,888,904,561,522,227,743,428,531,598,545,268,308,
886,565,489,822,467,946,445,760,505,239,827,819,628,468,302,342,454,638,558,
518,896,003,064,596,371,682,799,323,084,205,575,922,186,957,916,038,580,060,
697,701,936,685,710,326,430,961,875,749,086,610,529,082,155,092,466,139,130,
518,970,141,964,948,985,930,567,098,424,748,611,084,411,349,593,795,962,487,
005,681,409,343,487,424,899,213,421,364,135,107,302,843,549,347,493,772,728,
545,576,725,484,625,944,809,645,630,653,016,252,526,567,055,134,122,626,509,
398,924,554,100,424,286,392,343,811,257,051,851,546,330,463,072,053,645,485,
151,755,693,320,505,489,317,152,989,040,811,535,842,212,260,747,797,555,750,
452,988,736,247,154,332,426,674,834,534,592,437,803,600,039,381,158,695,505,
831,178,726,364,156,047,105,800,494,983,330,027,062,707,207,757,518,238,236,
950,909,849,575,726,020,869,563,180,029,151,070,950,202,411,248,665,400,192,
755,443,301,325,036,377,729,389,014,603,538,227,660,358,216,689,346,138,126,
893,700,119,532,670,579,723,999,995,261,916,406,600,434,604,727,847,742,315,
743,894,318,675,917,902,203,245,310,173,547,324,568,724,831,893,948,012,245,
883,748,502,249,297,055,322,429,006,146,602,531,392,478,156,000,643,694,851,
965,472,117,713,013,459,622,387,465,366,528,232,935,408,178,165,222,215,095,
569,469,379,152,245,051,896,775,402,327,300,110,502,056,448,861,277,609,892,
645,195,367,152,081,869,894,079,822,878,210,938,277,874,609,686,000,986,790,
266,411,714,781,418,813,406,471,977,700,745,120,026,149,360,039,868,714,802,
954,306,709,860,307,077,679,115,250,471,548,285,520,262,839,566,716,943,590,
119,541,394,578,694,731,160,825,353,874,388,644,560,098,092,851,396,135,920,
355,695,398,540,209,436,331,301,120,910,976,432,080,502,467,563,864,083,622,
435,840,084,135,798,488,931,811,785,953,435,316,450,467,072,782,778,390,012,
841,285,195,850,280,253,360,254,998,481,228,785,200,466,467,601,599,699,424,
130,754,017,129,397,468,382,600,422,678,928,344,352,985,887,116,588,502,075,
884,850,182,458,190,820,848,784,781,198,365,795,472,975,560,596,565,141,052,
579,450,406,314,042,677,786,342,602,143,810,208,662,699,859,520,801,424,721,
248,932,244,824,527,794,795,036,235,831,481,008,858,904,188,056,059,123,895,
664,745,498,253,900,745,411,145,126,608,315,620,123,612,966,110,324,971,541,
652,499,043,645,012,881,868,927,827,870,641,369,555,445,942,747,318,775,424,
812,006,890,098,214,946,196,999,730,356,225,951,201,184,805,526,211,111,046,
157,090,657,537,978,951,560,469,881,868,386,263,392,997,577,677,501,649,887,
724,095,844,566,806,006,526,201,002,595,203,208,149,758,886,520,657,363,509,
718,211,629,118,116,509,556,554,514,982,381,326,411,419,418,207,263,138,016,
442,473,709,251,161,542,486,823,055,875,213,233,150,846,523,833,832,473,568,
327,733,920,355,703,692,275,268,096,822,954,029,450,797,781,714,316,786,335,
901,085,973,358,047,693,151,090,140,623,973,580,322,138,774,666,307,555,403,
616,242,273,471,106,998,923,105,922,766,413,399,687,174,212,434,573,221,902,
915,716,384,673,499,515,159,086,642,190,497,539,524,930,072,194,930,916,111,
418,591,480,402,385,009,344,117,390,465,935,160,179,628,911,324,427,504,268,
712,672,240,517,865,329,729,774,383,027,815,927,196,418,658,323,226,113,415,
798,633,605,858,352,606,382,161,664,959,376,299,980,064,446,827,047,035,442,
928,678,327,906,963,005,198,453,800,464,879,484,894,383,481,246,155,734,004,
667,050,067,983,001,540,473,027,885,143,656,612,173,773,185,645,428,430,762,
947,933,835,161,724,853,943,529,893,337,545,009,689,778,820,920,481,693,587,
000,667,591,817,130,992,881,024,421,859,797,770,890,201,366,857,520,012,277,
596,791,324,655,997,352,927,652,810,456,179,893,093,573,646,250,173,421,369,
772,067,428,203,913,090,212,619,129,879,769,123,940,115,418,696,671,534,158,
894,785,400,507,374,348,378,033,242,529,357,742,862,999,082,438,891,287,739,
658,291,203,701,316,705,041,432,249,213,500,811,712,083,686,341,612,475,162,
018,762,294,727,917,887,614,775,617,551,930,603,453,684,844,608,947,151,410,
898,683,902,647,797,131,395,834,956,438,171,807,206,574,920,512,550,588,731,
107,551,595,389,100,360,686,903,189,150,238,129,328,981,402,319,494,261,290,
831,111,496,182,570,653,619,986,156,686,345,219,995,936,816,522,170,848,052,
318,309,915,296,305,040,644,536,032,106,319,648,528,908,034,802,432,778,094,
905,202,616,691,492,928,024,979,818,958,488,568,890,327,741,833,695,062,542,
317,869,103,440,834,046,004,126,221,298,843,789,172,629,586,466,991,696,840,
040,949,035,545,945,578,352,179,877,117,106,104,103,043,521,341,003,193,963,
550,212,044,328,285,214,098,522,812,592,719,595,204,283,038,223,711,273,187,
104,023,180,005,028,305,416,406,061,086,676,044,377,811,164,775,871,435,691,
590,797,812,715,070,537,446,786,714,881,103,517,240,372,796,513,736,741,126,
175,266,299,588,198,527,282,427,613,375,228,974,735,835,370,827,579,094,031,
759,950,444,781,855,317,767,620,492,034,132,365,038,111,077,206,067,856,874,
488,269,086,607,515,503,908,637,295,468,884,698,299,517,844,344,564,015,848,
302,854,473,878,781,883,449,856,332,792,061,764,490,315,325,215,258,238,476,
636,546,550,423,154,952,048,228,737,834,511,218,733,619,724,820,829,417,399,
529,328,840,184,600,315,915,763,904,748,731,967,874,796,321,148,597,250,638,
039,794,247,805,454,818,537,494,999,437,127,257,638,909,970,832,286,735,144,
119,565,456,407,299,818,914,899,747,555,524,069,062,071,524,957,125,241,147,
244,359,592,178,004,948,413,104,884,920,106,354,153,629,654,012,904,608,984,
363,484,360,492,457,117,739,815,968,030,564,790,957,979,899,335,031,186,006,
951,840,336,043,679,847,945,961,473,739,580,540,189,726,662,792,815,145,346,
147,012,752,180,234,158,606,543,414,708,570,242,977,766,216,259,071,473,544,
231,590,383,514,144,391,819,121,373,542,566,150,140,695,805,494,459,239,158,
209,146,648,765,114,469,465,662,384,496,973,865,746,986,736,983,803,353,788,
354,060,017,922,791,688,594,032,000,991,308,557,301,075,550,099,496,853,286,
685,396,427,487,108,687,037,277,321,887,853,716,755,970,349,523,950,388,345,
579,529,399,571,957,355,103,336,206,621,959,670,708,234,518,567,500,588,495,
183,036,569,020,285,150,234,424,762,040,846,930,425,058,184,308,212,169,379,
082,649,810,413,391,305,607,721,393,641,511,779,523,124,876,816,834,462,396,
800,875,086,947,027,133,709,250,224,791,166,784,565,104,655,999,054,330,278,
830,555,911,528,825,166,733,735,475,108,923,816,096,300,175,117,483,336,445,
965,353,841,344,906,829,018,490,725,481,772,150,865,231,109,037,969,620,954,
818,087,960,524,189,757,235,576,755,739,454,993,879,552,541,791,578,097,393,
646,409,945,944,679,912,853,793,616,215,150,690,261,169,100,799,695,466,556,
884,088,049,573,587,963,001,262,509,063,733,794,997,368,750,044,808,144,705,
253,950,936,226,057,886,954,527,527,290,552,501,483,165,585,754,275,606,783,
242,776,089,004,840,838,183,763,352,736,002,584,871,829,717,778,247,162,346,
643,792,185,757,068,666,294,873,154,381,502,303,912,984,855,358,230,088,049,
763,306,031,056,304,912,354,486,253,772,343,200,818,596,773,046,308,510,345,
764,368,249,527,389,478,542,186,093,028,582,217,212,256,961,088,762,148,936,
880,349,910,908,396,062,859,666,381,959,159,407,539,166,838,235,072,085,771,
805,739,755,693,020,297,919,721,668,938,015,451,689,971,971,399,011,417,766,
076,874,289,777,527,224,514,287,887,933,705,237,992,469,448,775,242,617,074,
421,509,541,733,666,198,439,437,014,902,542,879,060,957,759,849,857,732,700,
847,647,261,323,878,481,870,740,408,825,952,314,915,133,974,590,728,363,288,
686,801,414,464,976,319,863,144,679,054,791,218,391,452,724,102,267,123,627,
123,939,717,543,248,948,320,164,277,969,580,201,948,852,017,154,693,403,709,
399,149,562,496,585,070,999,605,275,890,711,643,138,205,198,218,463,063,114,
586,534,429,719,105,456,908,171,383,560,386,384,131,742,866,392,908,835,326,
851,794,734,606,219,316,736,559,276,013,869,845,576,481,093,477,820,746,063,
494,142,741,707,255,693,773,205,781,639,765,552,515,122,822,955,132,633,073,
162,054,270,689,801,502,987,455,524,785,715,912,418,542,569,005,681,295,419,
738,818,006,183,969,849,312,611,290,579,368,117,782,945,769,887,269,224,250,
034,299,664,922,286,934,666,592,967,984,827,590,797,590,428,549,964,784,681,
706,236,316,629,829,978,929,248,729,220,644,928,520,522,079,587,431,188,138,
413,186,413,999,069,661,315,788,301,409,691,550,158,401,514,446,603,969,493,
871,049,361,711,116,741,579,289,031,524,072,135,973,149,238,411,079,620,123,
201,996,221,329,754,563,289,216,821,268,035,584,618,081,392,123,129,688,215,
522,776,330,971,192,946,059,323,468,529,048,088,496,915,477,923,066,394,461,
553,159,251,989,176,253,153,591,881,371,474,194,440,614,211,748,994,091,929,
110,424,448,575,160,007,884,105,286,972,624,329,437,570,163,016,563,732,886,
042,485,226,891,727,483,324,758,672,892,160,940,007,607,293,667,354,511,570,
205,094,169,860,798,990,322,972,118,280,587,434,728,158,437,010,381,353,973,
996,074,218,733,705,428,519,223,028,061,726,032,446,935,447,208,250,792,149,
020,528,515,726,505,282,325,551,910,572,604,769,348,740,989,312,752,655,612,
465,352,768,477,896,207,268,832,260,436,886,183,399,691,164,153,943,015,263,
423,921,843,463,658,587,572,524,060,701,631,666,546,644,892,357,467,112,236,
876,050,413,894,497,985,327,947,267,824,553,309,838,272,560,361,841,760,299,
005,088,994,080,700,814,591,844,469,307,487,039,220,397,539,346,985,032,391,
359,818,056,176,535,898,526,553,373,435,079,851,803,531,511,618,015,149,627,
188,899,811,273,436,205,109,098,789,591,440,430,517,992,165,803,697,171,670,
283,610,083,296,568,604,724,290,766,482,499,677,539,249,715,029,179,178,605,
988,303,184,687,370,650,522,830,737,532,119,312,527,600,017,033,120,411,635,
927,759,301,305,954,273,083,890,702,894,217,804,925,850,908,289,301,271,472,
123,496,245,470,457,662,170,106,329,782,329,973,545,354,369,464,946,127,431,
243,077,525,638,068,922,386,481,371,397,793,456,183,348,221,679,438,247,856,
180,616,756,140,313,138,756,211,077,254,906,722,480,623,290,471,678,680,700,
972,636,315,177,039,922,139,247,048,440,675,391,650,836,632,181,755,249,437,
942,448,665,682,469,788,573,832,708,444,180,459,298,489,198,382,650,849,255,
841,860,080,438,993,567,661,636,086,107,424,587,539,108,930,437,041,222,851,
725,314,158,987,606,219,137,319,807,128,764,984,765,204,792,776,858,091,961,
682,219,169,892,996,952,279,857,215,309,311,953,394,330,063,797,838,964,768,
773,449,835,058,331,413,142,467,812,179,683,583,334,162,880,688,700,719,374,
427,592,772,404,040,615,547,975,735,571,636,759,481,233,925,811,406,603,808,
399,161,123,683,006,783,436,919,761,999,304,702,670,179,862,697,597,092,783,
716,233,371,025,525,863,543,177,074,486,762,319,783,967,093,913,710,091,470,
208,058,125,779,445,210,703,123,898,901,753,267,752,034,191,619,902,110,901,
850,562,813,295,835,105,686,088,603,511,384,802,718,263,590,708,457,327,062,
453,495,449,302,339,357,879,193,423,502,832,828,298,332,444,959,050,429,115,
231,146,630,641,553,947,198,126,042,617,556,594,350,857,881,969,156,984,567,
524,367,365,217,859,431,206,124,964,282,569,747,706,161,325,039,613,780,716,
786,178,164,695,784,793,017,146,760,189,700,759,331,004,061,037,223,865,177,
706,955,900,856,317,687,023,135,882,003,519,846,024,748,254,886,149,217,953,
628,310,224,668,725,570,353,602,101,404,524,734,629,236,867,684,810,676,835,
726,488,810,750,322,322,637,057,048,188,215,297,832,975,475,352,024,655,255,
533,110,877,881,262,211,786,517,012,026,413,342,584,329,989,692,294,116,961,
455,360,491,837,266,839,026,377,691,752,474,003,787,765,977,495,682,489,028,
128,012,934,513,071,312,402,014,515,976,017,108,708,449,017,794,751,766,041,
318,444,490,339,312,289,850,157,715,027,757,684,742,988,062,436,045,956,797,
181,528,028,176,637,444,155,559,029,996,062,905,374,854,561,151,264,378,144,
153,544,166,263,619,451,388,831,333,429,886,580,621,248,997,036,731,250,372,
349,651,905,875,234,903,174,071,198,574,432,335,666,616,145,154,025,654,446,
906,843,678,163,840,749,176,408,824,079,014,945,379,537,585,216,339,835,986,
236,081,884,490,276,900,173,502,932,568,789,886,699,349,592,154,983,298,619,
513,869,453,560,354,038,774,139,198,495,854,986,976,572,028,250,074,265,745,
406,134,997,727,518,583,551,023,937,091,682,080,420,253,286,246,801,059,651,
581,616,552,293,574,496,946,440,903,429,754,797,378,048,066,132,899,239,900,
693,543,079,160,998,735,227,575,877,010,976,528,676,542,727,013,857,349,332,
658,052,827,863,130,301,200,028,053,074,404,465,924,177,228,893,477,835,210,
959,996,610,848,766,794,258,273,785,473,867,262,794,412,690,708,479,721,765,
544,780,753,249,318,917,261,624,762,568,301,200,441,953,119,216,173,386,231,
147,430,335,950,400,892,433,270,842,373,952,521,800,682,573,042,410,690,676,
621,947,612,477,094,588,238,281,307,325,904,498,215,008,627,076,913,453,120,
898,046,333,889,299,553,413,010,615,628,218,397,363,466,119,018,311,825,376,
680,060,819,556,871,269,690,147,416,239,623,390,337,475,463,086,516,358,921,
394,967,230,845,187,970,769,480,960,213,456,456,593,462,267,797,188,854,056,
281,273,783,224,984,951,926,480,775,543,518,551,270,135,284,920,546,522,749,
149,283,573,726,123,464,103,845,757,824,147,543,857,570,092,575,835,077,748,
369,440,483,608,297,077,238,126,120,422,322,832,321,842,764,329,365,706,279,
963,411,716,458,384,407,120,618,752,826,980,040,224,444,555,152,784,097,244,
749,385,216,697,528,151,290,509,196,935,694,355,852,036,645,745,143,478,083,
773,106,959,965,609,436,728,862,542,785,787,115,192,998,234,850,386,896,448,
635,682,412,397,412,573,345,026,416,729,331,546,718,211,489,236,637,492,092,
087,505,250,326,046,161,995,405,243,830,148,614,948,291,684,278,461,329,739,
989,906,519,025,610,065,522,290,748,014,813,897,350,450,833,685,679,354,715,
250,285,988,553,999,641,595,885,530,743,023,690,215,949,265,024,845,241,743,
007,332,704,869,010,293,617,711,593,592,932,900,386,302,607,157,660,130,656,
850,931,437,271,594,508,601,856,464,644,028,510,531,762,089,680,538,967,178,
889,100,713,517,354,955,976,103,475,615,090,852,917,060,973,911,021,349,463,
069,721,424,898,750,281,406,842,157,423,198,778,511,436,373,636,166,726,449,
788,120,697,499,309,782,755,094,854,561,840,086,940,814,765,129,494,858,199,
097,693,557,841,573,855,695,634,241,810,882,733,878,527,997,132,328,494,734,
910,898,820,332,734,387,336,737,518,368,745,020,503,223,650,805,902,838,463,
267,136,149,429,005,434,078,483,917,490,764,434,415,004,013,412,781,492,161,
407,680,759,809,797,986,324,904,578,898,797,386,701,559,407,578,222,980,222,
862,204,219,186,618,347,359,067,447,370,797,209,872,358,924,391,247,735,018,
448,967,283,503,533,855,850,096,847,567,475,939,813,435,934,119,071,504,461,
939,125,266,793,161,644,463,344,225,265,592,089,270,860,698,553,387,476,124,
109,377,895,466,670,375,162,488,288,340,015,778,930,660,801,856,855,160,306,
111,495,919,820,541,636,665,054,361,504,790,630,528,875,995,381,453,792,149,
956,879,267,656,883,115,472,598,663,057,271,857,732,540,195,984,572,784,548,
836,254,266,457,859,060,875,126,930,154,646,685,279,492,606,103,811,020,953,
622,449,840,819,051,395,615,489,283,982,709,690,229,340,565,072,621,126,744,
064,865,810,019,505,483,304,268,231,834,494,141,539,884,644,503,625,802,811,
281,365,351,425,506,656,638,525,187,490,978,391,017,426,267,058,516,589,311,
204,524,874,630,056,209,597,763,399,933,277,665,765,261,179,375,241,014,785,
009,699,451,686,410,852,169,267,143,210,042,887,357,114,004,772,263,870,929,
907,952,428,443,325,000,334,881,312,338,499,880,657,364,142,642,506,537,088,
402,284,613,950,024,230,461,180,721,208,433,497,705,150,295,707,466,016,027,
205,132,753,325,925,902,451,850,994,411,869,803,580,229,004,141,635,741,124,
746,219,669,332,862,663,357,402,546,866,487,126,701,861,195,481,645,913,375,
198,072,777,893,218,667,825,489,055,499,511,648,400,817,295,142,736,130,337,
427,782,382,858,580,923,482,217,123,794,438,563,203,357,226,998,166,242,574,
061,173,981,825,908,773,987,478,145,721,718,864,946,780,533,037,458,620,960,
493,973,855,720,493,016,237,690,409,592,656,752,848,079,451,648,945,018,560,
809,694,165,220,568,653,679,017,028,835,065,175,361,614,762,935,618,852,942,
819,452,175,048,270,578,902,289,101,378,940,987,890,062,822,342,828,068,810,
621,497,550,338,435,528,464,270,674,156,692,610,981,573,890,191,626,399,371,
586,436,576,666,932,677,383,642,217,251,498,143,922,427,916,109,028,742,702,
998,922,898,295,455,608,971,442,444,251,752,416,167,330,788,749,177,911,691,
172,114,904,228,283,089,928,502,164,284,187,198,054,001,133,281,962,868,201,
168,665,235,903,441,535,555,953,749,423,229,140,830,931,996,885,330,618,777,
878,835,191,560,694,057,227,962,485,494,736,205,277,949,771,419,382,574,271,
909,009,320,785,452,804,334,330,160,928,733,893,513,795,493,340,682,866,120,
570,600,698,559,485,379,869,916,542,088,767,562,371,564,677,633,617,471,579,
363,585,556,161,453,040,875,308,409,545,871,148,698,096,367,738,377,840,217,
412,360,590,606,722,053,086,578,215,905,504,610,853,482,050,403,428,403,650,
687,744,599,876,597,923,208,785,753,723,263,631,544,451,144,072,437,401,979,
778,815,810,461,282,148,614,415,376,808,051,347,111,978,716,432,720,563,882,
137,425,158,405,981,977,698,476,208,316,196,685,747,108,175,476,342,294,787,
372,245,052,414,698,215,918,491,717,537,577,495,993,082,981,807,475,176,642,
154,701,241,339,024,361,884,178,734,706,751,651,430,843,658,999,876,866,907,
370,514,293,854,052,202,121,995,474,455,799,949,715,801,469,418,926,574,875,
427,998,312,012,113,542,759,484,946,920,321,107,275,271,042,829,278,136,422,
447,438,348,719,782,351,254,968,743,995,787,221,767,536,621,798,834,947,682,
296,205,312,731,908,464,284,036,403,547,118,883,329,616,748,260,380,873,514,
176,689,249,407,555,093,367,916,666,077,389,180,131,217,265,786,225,603,986,
224,942,227,428,939,854,382,786,520,512,857,411,087,367,358,838,138,994,056,
477,647,679,164,147,643,527,410,533,094,514,556,463,944,388,896,514,959,831,
075,398,142,397,945,841,425,955,960,936,619,817,053,799,265,166,859,632,525,
747,560,597,909,706,957,455,705,017,155,348,361,935,288,385,943,422,931,484,
754,117,798,022,347,941,594,265,045,976,661,595,497,440,754,427,770,119,347,
146,402,568,295,128,326,078,730,008,864,966,612,462,225,285,801,856,045,026,
302,542,333,550,844,323,979,482,049,712,699,084,319,076,125,679,191,851,008,
409,958,200,003,777,713,983,595,133,234,379,787,285,041,569,073,010,369,692,
676,398,220,020,737,937,289,169,449,035,238,892,573,379,324,461,771,997,284,
786,542,870,612,083,923,352,946,328,459,612,481,395,851,519,968,584,859,051,
989,597,121,905,270,505,749,078,036,215,944,247,679,917,113,460,225,486,421,
812,304,853,956,323,261,234,494,736,531,068,324,512,125,499,138,928,610,599,
080,503,877,017,087,505,978,129,997,511,609,712,506,772,952,815,884,210,505,
944,779,819,138,458,279,915,302,675,426,737,242,616,967,371,611,256,791,602,
664,837,586,886,336,254,684,895,493,030,017,288,748,242,974,874,484,576,873,
233,862,598,403,981,434,258,904,754,808,714,822,391,446,282,213,088,602,085,
384,409,784,395,670,345,961,262,223,001,207,310,365,234,455,651,879,420,291,
414,520,124,879,101,060,189,174,031,507,667,210,123,757,513,496,047,986,514,
751,865,063,728,081,161,367,187,001,585,654,533,599,361,991,783,518,461,077,
625,823,033,385,191,983,912,480,780,149,537,738,435,374,243,517,777,309,757,
240,981,022,963,159,527,944,249,352,025,447,286,565,616,089,991,744,803,420,
295,908,775,551,105,262,439,381,738,064,442,706,983,338,348,029,726,107,433,
195,760,265,063,285,066,108,770,430,352,208,938,792,525,773,945,493,545,952,
943,127,599,346,537,038,104,183,082,202,876,956,889,082,621,669,974,812,714,
975,386,787,666,479,106,935,285,123,073,061,281,645,721,823,233,187,451,727,
708,894,763,293,904,070,015,031,657,656,128,134,393,978,281,444,057,591,808,
762,711,094,829,066,874,989,961,480,806,227,884,132,135,330,152,508,142,515,
251,715,080,391,308,275,883,646,924,705,170,734,226,438,636,706,309,391,835,
910,175,188,264,494,720,159,039,346,589,617,288,117,149,420,362,731,887,000,
289,828,822,136,528,984,326,144,384,331,730,034,233,334,215,488,861,122,565,
511,573,278,133,908,327,134,321,476,729,677,712,782,084,494,448,373,443,571,
725,062,992,396,442,708,047,611,348,002,504,955,466,563,505,487,748,712,772,
817,323,801,909,940,639,801,648,622,295,769,686,716,074,256,763,317,653,249,
593,341,781,430,633,942,831,196,756,473,135,426,207,409,758,090,371,488,497,
158,454,241,542,415,519,872,856,397,944,335,887,338,275,683,259,020,766,321,
579,307,168,543,872,658,389,963,369,834,243,516,855,623,184,734,456,621,148,
034,610,749,560,973,086,271,557,989,205,701,306,212,928,443,275,342,505,159,
545,457,096,433,670,822,543,520,703,869,155,255,648,715,727,683,903,801,326,
204,631,872,603,877,787,955,911,498,230,839,625,542,010,850,525,285,278,673,
841,784,643,522,922,043,154,317,023,201,802,641,380,354,515,949,948,238,529,
130,057,718,189,126,010,644,023,066,941,632,387,832,911,400,720,066,703,344,
106,550,864,762,697,362,668,826,164,159,131,433,858,782,009,502,728,922,066,
313,276,746,108,720,116,496,709,460,325,767,252,890,977,454,457,391,231,514,
890,636,060,978,344,639,358,961,984,674,034,635,546,160,739,800,821,055,336,
187,970,068,086,775,999,466,909,416,816,010,941,960,320,757,283,536,991,041,
955,129,926,032,923,363,594,251,177,788,178,850,390,613,336,204,072,735,354,
160,008,953,947,579,260,397,915,414,638,096,433,225,959,549,094,720,337,825,
812,814,226,645,153,643,312,494,557,168,836,074,697,575,762,441,858,051,108,
563,728,367,933,074,864,309,065,455,116,101,488,852,418,111,451,621,812,521,
440,858,334,177,719,203,780,367,677,973,613,775,296,102,553,777,850,770,876,
131,909,453,560,210,361,310,691,747,849,218,206,981,163,524,757,145,184,352,
624,299,377,111,456,341,683,472,985,409,102,248,753,022,593,443,586,397,171,
786,531,514,758,186,799,837,363,916,618,922,595,424,686,769,468,022,839,581,
153,834,109,703,205,130,288,718,059,396,455,878,220,257,814,384,824,538,438,
220,748,948,161,951,439,622,552,851,668,771,508,490,724,960,096,416,623,987,
160,476,143,853,003,681,348,507,487,346,933,563,316,165,723,199,721,220,378,
539,726,096,697,688,063,791,367,419,794,837,767,867,856,215,694,644,513,394,
898,150,574,488,144,011,642,949,486,986,495,995,268,018,653,903,866,772,172,
120,439,757,602,936,596,345,712,801,296,823,261,551,155,711,000,300,069,098,
878,170,502,952,771,098,314,452,297,145,003,069,940,132,845,348,436,889,199,
770,929,143,839,070,892,281,767,516,174,650,246,585,676,445,967,539,752,809,
825,740,911,630,033,380,190,746,910,351,569,545,560,661,704,869,457,758,331,
573,877,005,026,455,956,910,252,744,115,707,174,493,395,412,860,454,655,402,
396,809,082,150,490,175,877,019,588,913,985,531,359,834,163,155,113,116,079,
647,377,251,181,325,383,583,862,825,778,059,710,002,405,850,916,249,899,677,
894,523,414,785,258,544,011,764,642,071,098,078,513,488,143,306,009,835,789,
653,625,886,433,757,794,021,632,165,337,467,913,506,725,291,347,614,273,996,
864,779,961,759,831,280,518,127,466,836,882,306,374,493,632,180,571,924,569,
429,812,461,487,633,285,676,289,690,665,984,272,853,624,622,230,751,651,191,
973,155,069,490,567,521,088,337,003,845,098,376,571,237,922,019,044,935,618,
715,941,081,298,044,768,613,495,459,135,762,045,737,992,481,756,462,303,547,
328,937,893,319,337,856,526,298,455,104,935,678,676,006,307,720,693,139,777,
302,884,206,276,436,910,013,038,385,541,675,595,843,549,861,288,012,878,271,
798,047,922,824,714,297,889,651,517,056,382,688,287,532,145,452,733,791,529,
978,566,180,035,428,850,722,616,622,702,928,078,463,951,581,236,696,409,364,
590,112,885,573,223,650,188,579,384,219,904,518,755,870,647,955,308,351,626,
775,284,759,425,903,047,210,085,819,209,922,876,770,660,677,409,130,286,640,
193,195,715,464,713,238,745,951,890,580,069,197,553,313,410,761,314,211,023,
516,855,031,462,015,590,537,044,245,334,045,199,880,164,845,230,723,179,966,
374,481,643,760,732,182,559,173,648,296,962,115,176,562,617,031,288,228,065,
507,938,769,806,894,505,241,712,347,131,483,534,463,810,983,601,207,455,356,
053,348,590,775,591,543,916,766,210,084,107,733,599,557,318,337,690,926,406,
044,555,276,881,114,012,549,794,578,244,191,623,561,653,809,989,395,082,881,
739,145,564,195,023,583,182,254,039,950,677,852,073,033,127,935,775,094,599,
655,992,791,146,022,847,715,538,942,340,486,087,740,774,548,106,462,626,934,
144,613,252,307,593,635,719,816,867,622,189,920,241,446,469,545,469,891,501,
789,484,143,475,909,675,149,365,565,197,440,226,846,215,747,011,328,249,353,
333,003,133,983,384,960,292,152,742,724,643,041,376,738,372,739,226,002,140,
624,613,253,046,577,458,428,078,356,696,936,623,611,602,511,393,114,256,930,
107,802,432,458,509,461,819,302,309,309,291,008,146,079,933,775,352,145,199,
327,087,121,034,766,808,905,504,767,134,983,856,492,615,084,381,503,769,480,
504,118,143,976,146,130,957,302,089,594,282,564,205,710,057,988,514,650,358,
613,727,028,299,574,592,697,120,528,491,237,352,982,669,775,926,172,641,973,
141,643,601,560,356,352,397,369,271,807,931,826,345,869,287,003,848,913,326,
514,811,892,024,007,369,213,849,776,672,216,392,937,580,750,608,799,065,016,
260,077,965,100,565,628,576,445,897,254,628,315,178,897,424,247,311,438,907,
173,585,616,310,172,997,894,023,328,972,737,504,542,546,208,638,800,552,784,
000,872,642,409,850,024,736,733,668,797,375,864,773,989,999,488,627,249,502,
098,835,054,032,715,682,418,379,988,424,816,023,729,130,403,130,406,063,501,
539,229,711,299,938,852,081,220,569,526,086,458,821,728,901,125,556,377,898,
041,352,393,236,506,645,397,143,657,926,936,390,742,042,053,814,754,182,137,
578,154,930,525,410,131,759,987,555,563,433,706,949,059,466,973,220,122,478,
451,687,595,051,191,868,397,679,162,678,387,546,285,905,512,529,073,942,583,
180,850,109,426,792,524,119,888,919,478,314,598,432,030,362,672,777,594,171,
353,151,475,514,287,771,519,871,201,731,517,647,497,525,123,742,896,257,969,
025,363,046,508,942,594,049,375,833,854,434,653,240,358,328,382,539,158,026,
987,857,126,089,577,907,347,809,274,182,591,489,695,422,804,621,397,959,386,
369,540,793,658,905,465,783,139,538,948,915,444,088,367,709,926,613,162,503,
008,926,033,472,359,897,184,278,829,541,400,177,275,193,037,412,246,650,155,
932,310,939,305,551,937,383,090,248,316,473,606,362,207,477,553,105,525,637,
042,750,327,475,196,274,040,045,754,256,769,629,792,748,234,261,759,245,357,
183,967,246,290,866,271,705,190,332,180,913,532,406,647,261,298,973,726,244,
010,273,910,525,518,183,615,134,794,136,815,699,781,485,678,714,490,154,326,
145,575,462,636,868,708,892,343,864,788,944,054,347,519,626,746,463,941,568,
868,904,816,217,250,176,469,109,605,342,250,856,860,446,324,483,876,237,977,
461,337,548,800,125,601,743,650,881,395,844,707,914,325,068,860,989,324,165,
223,818,611,719,710,686,515,729,745,120,625,115,347,478,750,837,471,885,539,
238,563,089,423,649,649,114,535,345,042,166,752,770,130,690,866,409,781,647,
648,234,946,295,950,523,654,392,122,052,398,485,942,011,776,097,092,015,553,
680,249,495,219,839,949,907,826,441,943,510,586,445,311,929,639,986,917,722,
308,808,918,565,713,551,408,426,551,758,109,390,304,328,632,590,538,552,098,
672,349,091,318,850,814,745,406,603,268,620,411,736,685,727,782,926,377,354,
037,892,380,233,362,999,962,794,399,216,630,652,090,330,918,178,400,036,934,
630,399,211,205,076,010,881,192,030,482,596,588,810,314,511,364,986,509,493,
469,898,984,377,663,905,825,105,342,406,659,778,376,315,696,914,447,039,274,
685,927,152,226,301,430,175,810,552,749,943,089,006,594,042,156,596,224,894,
300,197,001,936,242,284,422,065,112,709,882,435,169,157,676,546,965,951,305,
633,130,533,873,025,051,352,188,069,408,724,674,286,724,187,784,192,465,102,
856,545,814,114,157,279,735,313,333,061,211,844,327,574,947,705,068,976,605,
956,607,747,052,772,033,998,974,624,531,225,213,483,439,386,494,427,549,373,
958,886,532,696,102,322,779,049,975,712,180,766,864,092,106,030,022,049,108,
585,592,912,642,766,085,718,873,354,742,769,577,203,839,611,879,024,776,873,
236,493,150,583,670,310,284,210,854,443,549,897,620,621,102,148,632,608,269,
672,031,200,796,945,390,874,399,960,414,095,658,911,438,962,914,365,718,397,
366,126,117,127,814,850,644,830,982,978,192,473,917,902,589,825,164,916,780,
022,138,338,785,618,848,147,664,935,570,599,287,219,708,212,397,877,543,577,
431,939,842,007,873,489,259,557,309,527,481,101,236,885,976,367,651,121,702,
371,373,630,485,030,227,325,461,095,075,722,179,441,236,915,846,134,765,805,
255,097,174,871,793,079,583,786,383,129,301,710,408,549,437,863,988,888,412,
157,692,510,970,737,184,423,020,977,802,806,926,578,625,159,681,746,416,710,
032,966,748,850,443,645,793,351,053,880,000,152,707,163,054,164,095,516,290,
837,796,441,569,129,813,744,485,857,973,292,196,902,700,395,705,717,404,711,
205,606,332,596,190,474,366,342,773,558,921,282,629,737,320,451,713,396,316,
956,577,548,852,354,405,621,552,520,029,719,131,875,176,962,536,886,816,418,
915,444,238,382,084,712,144,646,687,400,796,175,035,880,039,452,044,230,449,
223,699,130,033,156,530,777,698,555,666,435,152,432,875,093,089,435,203,413,
341,120,139,638,626,556,280,603,828,278,544,989,692,214,598,901,925,871,894,
781,505,882,436,017,004,231,907,966,619,828,277,909,733,920,057,620,084,136,
585,586,678,953,374,531,791,126,453,242,896,807,392,263,411,843,759,934,726,
365,628,241,099,399,551,814,615,219,860,273,822,071,336,425,212,261,557,561,
647,165,873,499,386,978,515,207,330,757,882,534,955,576,365,523,902,078,443,
693,738,201,270,116,748,165,431,970,460,957,841,803,472,927,317,503,814,207,
743,252,182,872,875,760,545,868,831,917,362,377,622,664,934,685,989,469,795,
469,354,589,525,756,956,755,173,818,030,872,607,508,275,115,654,968,179,575,
762,452,841,440,835,595,841,701,527,744,708,475,814,489,536,519,243,138,564,
461,580,816,396,444,922,796,082,603,073,510,857,192,889,499,535,050,466,460,
713,870,581,022,297,869,327,138,038,464,487,048,754,049,945,502,264,101,272,
190,650,311,411,827,704,013,505,092,359,570,439,144,880,423,576,646,489,290,
827,309,345,707,883,181,538,587,316,298,954,908,457,726,430,137,010,685,380,
406,395,227,059,689,427,307,310,633,381,507,460,342,963,534,083,080,942,211,
802,848,505,072,647,238,101,862,775,031,487,583,410,266,682,752,578,497,744,
707,248,526,633,884,267,173,736,456,988,634,422,306,039,581,228,999,898,562,
923,440,297,949,639,709,744,837,653,002,606,543,260,130,552,031,240,048,490,
131,671,419,345,983,780,730,177,089,508,349,858,670,865,122,757,517,322,290,
045,516,686,100,247,192,226,048,146,293,128,547,702,054,968,176,749,501,024,
061,793,810,271,144,295,682,398,284,211,371,647,871,711,136,763,081,115,042,
831,441,051,719,771,420,303,900,770,019,004,358,899,962,914,022,445,050,751,
152,474,530,509,723,338,026,106,369,870,840,471,035,524,112,017,462,123,527,
360,449,769,636,180,992,482,782,566,118,710,871,914,833,396,837,364,383,386,
005,598,855,482,441,942,685,977,954,848,776,736,069,983,610,956,641,440,970,
336,986,490,003,170,092,093,719,733,719,656,064,420,162,668,719,052,107,763,
713,827,381,323,800,530,177,827,078,925,989,372,195,480,245,865,777,218,846,
171,076,581,505,315,100,860,441,477,207,227,038,665,560,368,134,910,889,199,
201,758,123,844,601,498,867,871,859,411,767,516,786,488,582,537,991,753,699,
001,807,777,646,649,323,985,172,618,650,783,329,097,347,935,536,900,388,184,
877,772,011,378,868,337,569,221,620,393,418,995,636,293,478,998,145,324,853,
035,622,305,327,062,848,851,206,254,991,586,305,156,345,271,502,523,009,403,
985,578,775,609,425,912,226,354,200,084,799,484,241,146,371,337,180,866,346,
530,587,622,772,650,811,844,788,621,675,419,924,860,713,556,214,079,909,784,
154,236,533,986,318,403,925,072,184,300,408,489,312,229,582,057,531,516,875,
140,013,910,054,485,378,049,783,197,542,896,291,681,493,823,648,151,580,872,
786,128,402,867,097,688,893,196,771,968,347,806,698,269,933,167,367,378,427,
508,441,264,057,534,738,630,424,887,506,056,571,236,200,718,058,899,254,268,
868,354,293,847,072,585,782,142,511,992,796,436,643,817,683,934,607,634,043,
514,519,770,846,367,189,870,129,939,906,051,988,615,730,397,717,091,416,583,
329,158,562,634,928,534,304,905,292,820,824,017,148,090,725,831,049,186,944,
798,540,810,096,690,067,978,461,680,311,515,709,230,449,065,655,292,450,986,
478,004,385,316,011,885,598,769,224,535,299,865,173,872,682,557,182,332,207,
127,920,130,259,827,392,305,401,006,772,847,900,314,345,782,063,700,387,684,
897,002,733,960,689,465,460,715,257,392,775,890,505,215,703,768,245,707,271,
285,169,557,372,900,298,614,500,811,741,626,463,893,717,060,608,876,120,543,
701,140,915,219,790,201,349,606,621,806,480,600,202,883,264,109,842,512,921,
315,362,323,349,936,748,893,900,955,753,936,997,071,141,482,188,356,267,458,
574,739,462,118,506,011,866,450,054,569,808,549,323,875,732,059,020,978,110,
285,428,455,650,626,102,205,824,019,900,023,182,033,249,760,760,716,161,971,
838,492,785,050,892,258,067,090,930,508,631,828,374,882,526,136,743,781,736,
022,326,530,851,318,867,487,207,919,219,075,512,773,393,634,703,637,510,337,
595,841,413,777,508,270,046,506,727,178,027,001,904,120,818,865,330,053,917,
187,967,266,601,105,730,637,106,791,636,338,341,805,181,799,481,435,019,402,
205,622,783,727,066,741,543,646,258,172,920,500,207,738,809,435,500,840,415,
283,195,714,282,223,812,781,267,939,132,503,731,832,088,142,673,822,762,220,
690,129,229,162,604,844,832,667,579,062,705,163,805,470,236,512,230,321,381,
938,213,687,503,537,178,050,423,853,511,582,540,609,949,156,554,914,084,483,
938,082,288,886,264,986,919,087,346,815,163,846,443,052,142,399,866,551,257,
788,580,025,898,334,365,730,246,732,729,757,633,060,427,959,594,922,599,422,
477,572,510,244,658,775,298,779,573,859,492,548,228,686,468,331,966,483,582,
376,080,517,153,421,295,412,358,630,920,700,744,845,752,088,163,089,320,232,
785,860,542,457,902,261,882,805,161,112,440,842,835,790,140,607,240,981,713,
336,999,127,277,804,400,450,062,287,954,906,841,563,539,437,404,681,729,028,
487,725,903,305,536,848,428,548,674,993,011,895,803,012,770,911,121,532,095,
750,744,672,235,740,354,537,120,594,393,820,280,155,339,693,963,191,781,828,
645,446,092,150,609,491,361,563,479,039,711,926,166,139,751,846,687,528,866,
204,699,052,560,453,669,278,909,917,050,422,193,899,516,454,094,024,805,781,
156,797,484,814,532,389,126,591,218,022,174,193,444,382,738,200,857,457,644,
245,145,535,249,822,783,341,308,400,597,445,009,261,536,103,758,707,117,417,
832,614,198,333,750,297,721,966,129,663,583,980,828,475,095,917,158,566,362,
197,661,619,860,039,131,803,468,803,894,573,851,208,515,260,730,433,826,880,
498,461,966,556,343,363,502,862,292,579,905,270,117,918,514,162,876,541,052,
965,476,583,431,905,486,093,453,858,570,858,433,432,589,658,431,076,490,421,
320,413,638,820,498,125,862,813,773,340,520,148,231,623,998,530,234,988,241,
935,346,937,361,245,033,342,304,985,999,934,818,017,400,946,983,174,229,186,
136,557,063,058,014,551,815,848,932,858,040,632,303,947,021,714,620,812,379,
594,779,630,370,125,679,820,116,515,203,069,195,898,960,009,464,349,199,384,
219,008,860,591,307,391,293,165,955,334,740,706,291,363,255,088,675,305,936,
099,082,745,063,011,336,702,089,545,075,631,543,564,764,755,796,974,676,258,
956,042,552,403,531,590,136,687,843,389,142,871,072,346,056,611,279,276,367,
843,998,948,532,829,344,371,768,749,893,334,072,094,286,535,001,947,614,878,
059,221,924,744,195,980,379,919,909,622,631,680,408,920,924,597,623,954,563,
334,577,358,468,687,357,924,864,792,943,116,509,951,508,417,372,949,047,277,
548,986,633,256,945,388,365,920,185,998,188,207,439,161,997,446,697,990,716,
806,171,737,472,982,047,801,207,055,552,279,303,375,174,855,235,081,412,032,
875,744,456,275,373,892,995,089,412,722,699,090,199,636,168,646,971,045,146,
945,512,722,100,011,472,797,933,669,897,582,734,452,503,461,402,838,591,497,
100,608,845,231,519,898,206,218,744,048,535,875,717,221,987,960,391,067,646,
487,693,094,940,462,777,239,866,923,820,907,103,266,511,683,574,474,239,180,
102,243,078,702,767,904,446,362,476,582,481,487,400,524,411,156,234,850,807,
540,652,973,272,355,929,663,198,810,476,706,136,721,440,003,869,474,853,617,
240,604,682,031,279,990,301,530,323,961,959,411,908,667,971,245,913,845,615,
132,821,065,318,965,504,365,422,411,713,318,357,030,932,513,932,841,771,293,
631,033,213,615,780,737,552,461,588,951,142,889,419,297,286,725,329,898,009,
389,121,522,567,955,917,498,901,154,882,499,464,346,313,029,431,860,690,810,
521,035,834,928,001,674,891,779,412,996,542,665,843,638,617,644,383,800,207,
640,420,168,582,968,674,068,873,143,248,295,846,286,839,843,811,605,544,334,
775,430,490,323,410,689,228,292,687,782,501,947,924,916,846,667,071,847,770,
980,362,804,069,700,107,690,271,651,274,761,571,354,664,939,423,610,470,644,
587,159,403,225,724,944,119,646,365,115,928,201,827,348,148,055,063,860,078,
071,005,344,024,327,807,798,824,088,181,436,119,215,843,384,113,331,719,961,
860,609,324,178,622,391,707,228,106,411,675,308,505,481,233,357,018,702,884,
774,365,485,033,101,265,831,146,584,454,592,541,293,381,812,640,962,439,858,
078,432,352,834,203,050,633,644,890,545,801,775,715,677,735,160,294,202,176,
619,294,533,068,433,153,621,225,347,426,893,618,758,720,292,259,005,694,526,
087,617,796,175,546,120,173,023,272,578,665,842,316,943,710,441,188,412,543,
549,595,131,683,577,930,597,331,903,763,294,193,096,915,363,808,643,848,995,
525,573,599,105,955,571,576,255,512,250,650,116,613,283,158,743,788,640,659,
131,452,804,423,357,150,875,782,976,943,976,445,226,357,625,142,584,570,118,
444,390,616,357,026,500,985,118,079,500,280,146,111,585,507,212,427,432,702,
765,509,775,845,099,753,140,963,485,413,054,155,307,556,501,437,333,087,873,
170,990,357,463,192,843,275,961,295,262,251,373,082,221,275,371,617,757,549,
820,338,773,796,517,290,176,071,338,273,699,971,778,418,535,391,500,571,303,
057,466,163,761,926,633,527,036,363,433,082,659,272,294,442,116,968,488,879,
873,988,612,768,300,296,052,149,115,055,137,320,285,503,983,538,653,741,445,
558,531,522,263,876,233,891,565,002,853,838,453,754,759,173,431,763,582,996,
310,700,452,568,759,489,337,001,648,985,320,690,194,446,178,765,544,572,752,
145,556,281,948,723,089,248,624,083,482,637,003,106,772,825,901,784,682,061,
666,142,920,783,637,888,916,963,027,364,054,259,635,561,078,772,828,998,840,
270,425,509,708,815,019,884,069,493,284,921,305,498,299,584,019,811,222,087,
650,878,227,910,325,272,056,861,123,220,182,878,935,700,508,890,299,370,487,
133,083,688,670,104,182,733,898,997,826,666,626,230,247,253,604,616,652,896,
890,109,770,023,834,758,789,067,855,048,268,095,704,828,694,690,122,072,802,
013,006,353,266,874,245,478,576,877,438,417,037,780,216,596,944,229,695,171,
602,414,357,830,353,448,284,245,814,064,373,319,443,834,165,200,281,912,284,
268,779,927,517,298,106,428,018,005,754,704,745,665,722,332,261,336,912,628,
449,707,510,984,603,231,140,380,688,523,083,177,984,055,347,347,211,636,351,
708,319,455,478,304,507,394,914,313,040,767,277,800,614,406,140,265,784,427,
492,911,812,993,679,720,460,637,395,309,624,765,659,204,546,587,668,548,315,
684,130,586,590,500,282,266,832,621,577,555,911,474,054,322,696,284,648,422,
111,016,995,722,810,601,377,658,140,938,866,601,530,668,742,398,629,388,071,
051,255,080,145,136,053,445,467,654,358,234,914,340,242,187,003,062,426,819,
225,359,426,072,254,132,772,706,302,144,119,161,570,227,545,617,105,530,460,
314,052,528,942,596,181,909,737,011,120,939,513,145,719,327,479,335,407,356,
557,236,338,271,902,798,364,102,199,424,169,414,813,649,713,150,135,605,551,
589,821,825,817,047,406,723,868,351,157,523,012,759,918,694,847,733,599,152,
671,434,654,416,704,844,746,641,174,266,088,238,411,667,774,144,874,456,359,
614,438,402,623,873,373,787,417,585,760,860,319,104,093,861,950,806,552,550,
171,853,307,965,251,999,565,415,533,759,652,279,044,602,883,157,522,786,381,
442,842,254,657,472,059,247,055,766,372,493,062,029,280,642,876,851,911,297,
125,162,103,024,894,912,802,429,301,678,995,837,522,916,313,955,659,650,889,
993,764,076,077,375,448,727,988,159,090,888,366,156,071,793,328,737,415,574,
257,139,848,328,045,246,925,286,922,385,625,086,369,432,769,617,388,283,172,
084,953,174,387,103,718,656,528,686,942,769,177,135,492,132,383,439,795,219,
939,361,234,743,761,522,559,974,633,475,802,720,092,176,829,303,216,353,614,
407,891,137,422,945,762,919,657,831,146,508,653,830,036,936,166,789,053,554,
736,528,429,004,224,417,380,587,023,883,105,048,085,873,220,007,692,996,541,
703,894,286,506,344,859,913,539,668,344,559,241,721,795,507,691,543,956,784,
276,351,045,292,054,682,388,371,677,209,095,468,273,290,290,762,204,196,023,
242,107,555,260,097,309,780,079,369,205,863,934,031,635,330,266,212,082,213,
397,546,432,066,071,963,236,136,917,839,613,468,418,046,235,218,157,565,725,
340,224,029,847,065,968,600,619,929,871,866,554,402,269,461,899,159,173,249,
360,216,125,746,667,652,316,845,046,080,265,696,350,178,366,625,240,245,003,
229,983,082,125,534,152,249,596,466,827,537,709,287,010,298,475,410,061,264,
974,630,217,824,967,111,217,759,157,350,037,480,811,998,671,681,132,101,437,
350,084,499,907,253,010,890,035,073,601,924,627,383,349,762,306,135,064,482,
641,462,003,085,257,309,512,279,684,136,732,339,602,313,264,437,927,639,827,
853,504,661,990,648,778,460,865,082,104,216,064,942,859,213,424,901,520,333,
246,616,929,967,968,827,328,213,476,542,091,724,121,087,202,385,186,620,155,
196,352,290,357,686,838,253,171,456,569,646,510,286,441,944,811,487,961,400,
400,548,614,117,498,033,358,052,639,782,505,023,232,203,336,183,525,785,940,
362,002,211,682,065,042,496,614,479,305,515,289,867,269,477,201,958,658,078,
689,948,768,237,612,968,971,136,905,564,400,998,383,122,834,145,973,560,375,
847,687,822,742,783,552,473,082,777,892,023,465,409,937,607,307,347,494,125,
164,724,684,925,633,983,111,479,163,887,521,074,862,135,922,156,191,772,760,
328,229,341,325,108,234,333,294,382,251,298,947,171,245,740,649,601,592,224,
958,987,037,966,310,918,301,585,535,858,647,951,167,110,896,184,658,167,185,
431,646,726,410,005,651,932,874,885,058,228,481,570,464,438,196,938,229,388,
905,863,983,730,870,364,849,428,432,304,079,945,318,539,023,931,591,932,241,
110,345,767,460,314,407,533,659,803,980,112,462,711,127,979,443,298,752,169,
378,683,841,990,941,346,300,820,782,386,077,291,463,679,480,575,506,495,548,
844,642,541,879,368,597,644,575,838,433,053,457,878,620,270,704,298,816,475,
935,103,342,488,874,299,085,005,895,389,278,451,659,479,070,905,113,639,137,
256,907,260,259,496,073,306,260,225,357,655,333,295,306,892,731,051,642,148,
303,871,714,350,439,015,968,698,354,786,962,553,410,687,244,598,384,367,641,
374,012,332,574,305,919,443,271,713,669,064,947,938,554,104,532,707,519,870,
366,382,627,621,790,371,281,110,625,439,375,458,557,102,383,807,970,486,862,
598,054,890,142,915,802,098,007,443,383,972,006,010,989,955,061,405,831,817,
372,998,150,424,205,713,013,703,950,120,705,026,510,445,179,789,013,737,010,
137,779,513,375,719,374,726,650,505,361,850,784,564,926,284,737,163,483,967,
508,805,837,188,447,678,919,106,099,739,506,169,666,617,899,435,769,767,865,
373,942,386,007,000,574,317,985,521,725,717,338,948,069,707,563,763,900,190,
062,528,072,971,651,604,729,793,767,046,997,090,873,619,483,159,860,042,726,
487,305,842,995,752,878,211,350,671,817,881,912,310,826,908,759,088,061,728,
470,078,117,155,858,394,017,809,000,427,084,004,574,505,018,959,373,007,860,
565,512,719,955,714,248,976,659,935,868,546,333,263,704,527,717,161,212,697,
382,592,270,384,342,704,055,120,608,710,811,392,180,612,441,951,771,889,620,
451,228,819,263,721,262,428,197,940,417,129,478,077,401,747,179,234,874,165,
495,214,615,241,651,537,894,266,050,949,308,949,032,484,325,432,903,079,464,
765,153,708,785,160,660,137,495,876,886,912,507,656,937,387,076,518,422,348,
948,897,865,759,980,175,820,335,336,486,032,314,585,219,334,560,877,430,557,
757,331,971,168,119,955,943,654,834,404,975,562,130,275,110,595,553,138,376,
641,618,853,120,755,742,304,133,608,728,361,433,535,726,512,835,475,762,669,
895,516,459,254,452,906,940,109,533,221,893,911,936,499,402,956,255,679,775,
856,507,654,194,437,603,495,783,713,673,091,927,729,898,276,855,649,425,288,
293,432,804,584,527,481,958,159,977,083,863,622,077,876,406,866,583,021,105,
764,650,295,409,343,253,918,378,546,556,573,254,593,239,516,137,707,224,850,
193,631,512,905,693,367,467,117,785,738,260,117,623,290,765,679,134,593,338,
553,131,925,989,316,072,830,892,564,752,874,631,682,092,198,159,333,952,753,
161,287,639,805,844,182,916,119,746,947,472,552,191,201,493,429,933,509,873,
255,933,619,606,262,714,644,710,518,270,355,873,718,786,915,937,993,889,091,
759,187,858,002,441,763,551,339,524,331,581,889,541,463,688,106,696,848,100,
842,394,309,714,534,103,760,876,814,787,922,802,229,305,173,182,482,701,687,
005,056,108,756,025,166,583,549,741,091,596,131,835,066,708,607,324,978,837,
183,930,114,037,564,421,080,659,675,689,630,306,037,055,292,232,152,762,101,
643,997,708,501,921,119,327,437,933,452,117,440,741,991,869,546,360,128,780,
153,243,792,185,458,547,001,749,382,714,517,499,944,850,665,145,335,522,411,
263,376,114,754,636,537,828,489,348,988,912,895,886,905,811,830,877,981,351,
791,893,872,586,724,500,697,709,456,459,779,578,179,028,340,901,047,872,271,
948,815,154,452,007,033,864,383,703,759,840,511,854,721,365,997,444,350,210,
636,236,661,711,412,166,247,161,520,206,391,727,253,322,513,290,924,841,425,
556,196,173,041,601,590,510,249,023,448,927,316,928,654,299,120,456,233,993,
589,816,441,416,772,738,677,829,393,893,937,520,743,146,244,097,087,192,905,
034,681,788,565,813,250,005,847,782,941,575,880,729,248,423,821,255,587,036,
771,415,216,295,146,974,663,958,890,472,357,411,415,213,371,929,550,873,571,
096,483,294,198,407,542,422,154,832,755,321,755,668,189,520,917,153,324,690,
488,087,353,504,791,332,815,744,543,773,562,111,446,954,657,207,547,022,384,
978,277,362,973,055,461,450,382,843,128,539,464,853,579,160,804,558,186,111,
841,388,632,567,119,147,722,511,671,612,395,558,052,583,648,584,112,433,385,
248,000,677,842,830,525,720,609,167,520,674,794,612,907,152,672,589,318,812,
936,512,637,833,847,089,206,982,199,424,889,571,342,270,131,885,691,333,506,
910,454,170,689,783,236,180,772,418,038,981,831,807,473,945,159,536,630,453,
990,539,446,193,659,220,576,918,286,968,953,209,945,946,630,606,914,019,980,
875,364,114,443,931,644,307,313,987,758,585,531,340,261,094,877,936,736,525,
558,786,739,127,580,649,076,978,735,520,315,968,976,194,905,530,289,876,153,
409,135,920,239,817,236,536,897,284,740,488,341,874,282,650,260,643,816,938,
904,070,545,296,882,710,619,250,681,911,046,343,272,505,231,058,778,532,235,
861,943,610,002,733,341,822,806,135,090,161,948,741,796,568,472,340,155,629,
225,815,805,609,033,234,917,593,369,562,673,440,478,299,167,214,469,992,312,
287,716,093,424,009,760,155,507,635,950,833,795,577,965,622,792,659,108,640,
967,726,180,124,060,345,580,749,199,156,583,176,087,182,004,402,791,787,240,
796,446,958,561,799,801,244,017,799,494,094,378,819,760,532,968,580,437,591,
984,796,737,068,919,858,365,173,892,049,872,198,779,542,279,878,022,821,060,
768,080,285,839,665,204,916,353,316,261,661,831,763,712,165,584,952,047,335,
293,298,490,701,734,910,756,322,872,076,319,450,071,091,271,388,850,580,590,
444,186,324,701,226,324,408,468,624,509,230,290,688,748,037,827,480,884,811,
894,793,313,389,391,749,047,878,903,934,480,357,747,389,124,857,922,052,623,
008,184,698,475,555,278,542,736,048,662,708,902,851,315,171,696,127,261,452,
167,555,470,432,012,300,020,684,977,679,937,055,149,380,405,248,636,580,776,
663,015,428,785,805,279,739,400,819,726,370,465,640,410,661,305,139,173,155,
233,000,483,386,891,773,358,244,918,843,290,590,955,943,724,654,809,982,972,
218,948,686,140,836,319,419,867,456,618,152,017,038,225,022,212,124,490,480,
775,709,800,896,109,150,118,499,713,877,116,416,237,719,168,763,085,846,403,
582,025,734,070,015,984,417,561,888,303,469,793,206,078,293,664,428,787,814,
770,974,115,330,489,555,513,276,501,745,782,288,891,440,000,350,173,315,237,
738,093,534,666,728,429,728,000,766,908,256,610,656,763,084,358,583,489,441,
172,031,891,167,822,568,544,698,396,237,966,182,062,584,378,940,767,618,568,
029,553,025,071,424,251,523,768,190,506,576,635,453,370,177,784,094,927,516,
083,438,617,735,752,189,168,253,968,804,961,441,161,901,392,102,742,117,021,
098,739,401,343,932,838,218,371,733,028,342,208,684,198,358,932,317,835,331,
186,873,805,022,215,796,776,519,857,765,833,928,461,538,187,905,504,958,834,
107,639,674,196,291,008,763,232,957,464,469,674,198,724,767,748,650,514,242,
633,964,943,475,878,690,987,764,059,598,086,338,891,996,520,745,178,648,719,
493,307,075,924,651,746,083,061,349,094,379,749,361,950,544,252,138,575,328,
944,513,938,538,242,044,273,336,213,572,793,566,135,625,770,249,461,644,486,
575,610,629,265,854,811,657,004,085,008,348,978,684,523,810,478,988,354,518,
851,803,782,482,982,599,171,657,557,218,650,821,736,156,528,533,437,148,516,
575,101,233,389,167,694,382,344,058,796,940,518,246,183,122,193,516,772,685,
803,355,218,493,898,114,648,210,293,802,883,529,362,759,403,686,885,362,145,
133,474,534,090,005,220,624,140,445,919,547,435,907,078,413,853,113,393,352,
066,489,023,806,008,012,068,805,118,487,786,253,899,586,596,852,973,784,700,
752,465,881,390,293,625,861,837,796,601,988,904,349,269,731,310,108,373,430,
204,175,329,739,956,150,869,896,416,908,438,825,386,646,338,474,440,963,924,
545,582,214,212,554,367,410,508,952,659,855,573,635,416,923,489,972,400,458,
062,309,056,921,692,002,083,758,826,038,017,357,415,319,951,672,151,052,045,
209,127,173,682,916,054,667,393,570,295,735,945,989,983,745,230,133,079,019,
936,899,296,022,099,837,971,177,378,691,447,863,573,997,932,888,520,726,587,
007,306,183,777,057,170,843,417,658,018,774,333,477,455,276,618,832,650,049,
890,952,138,848,670,385,117,283,536,492,269,191,912,400,511,135,388,935,840,
198,736,108,528,832,195,493,364,925,440,819,457,783,872,260,148,031,930,944,
315,328,626,630,619,803,929,884,873,450,853,748,212,262,315,198,595,166,698,
317,404,082,681,228,772,496,577,258,523,099,157,337,446,160,567,319,495,073,
494,393,724,984,186,878,828,033,119,822,146,880,320,784,093,482,323,779,988,
622,636,236,788,303,887,106,831,874,121,486,395,850,042,190,233,640,241,026,
924,731,881,462,173,235,103,519,884,089,207,565,804,221,332,184,405,610,604,
860,618,418,797,708,907,264,240,854,199,050,144,840,339,843,902,356,351,924,
462,038,094,087,809,759,434,024,032,735,638,759,524,580,832,555,133,386,219,
997,919,893,867,108,972,267,097,911,197,707,045,311,779,442,638,695,130,039,
442,834,789,742,528,850,175,138,991,462,781,320,717,671,906,028,207,332,281,
810,511,060,959,233,714,201,511,864,457,039,788,868,123,454,134,943,075,234,
548,201,553,815,068,036,380,266,501,601,256,983,731,774,065,153,490,029,117,
389,901,388,523,722,623,038,104,934,129,608,700,139,503,444,675,722,703,247,
454,387,493,308,901,781,774,272,881,493,508,097,762,556,246,368,832,679,781,
373,401,325,214,918,521,167,049,508,416,630,224,475,353,608,785,780,293,566,
461,977,774,660,491,030,399,449,594,009,125,068,660,489,983,401,886,441,390,
685,171,434,351,564,296,632,522,566,120,076,837,728,084,468,404,349,828,086,
784,264,688,699,931,865,083,680,895,714,296,682,238,033,967,187,263,034,334,
505,357,600,629,021,200,987,851,647,300,191,780,561,931,982,536,739,999,044,
485,479,418,513,989,575,888,589,078,730,708,990,065,415,467,610,947,732,423,
173,228,158,602,067,126,635,786,126,137,534,024,741,164,921,912,341,769,590,
922,778,101,550,861,865,279,769,506,179,282,850,121,774,323,717,879,779,708,
947,885,266,170,911,039,410,750,992,811,467,168,368,664,524,998,642,450,625,
079,397,418,408,997,293,919,953,023,232,350,774,678,460,290,043,838,812,514,
212,798,820,689,722,398,335,529,941,641,599,505,189,622,303,534,933,721,044,
975,705,048,878,882,420,067,332,998,989,080,466,080,538,709,286,257,224,609,
210,603,495,337,763,275,327,988,632,615,454,384,215,268,093,028,042,099,415,
782,705,578,197,472,260,850,746,107,398,574,282,730,256,898,287,910,233,683,
633,920,721,606,024,354,998,657,010,879,301,826,845,414,178,780,382,291,612,
287,910,016,473,760,308,585,155,396,113,813,424,660,557,258,564,872,831,857,
283,701,773,338,285,890,420,717,291,112,280,607,965,602,867,330,928,684,181,
975,252,596,329,182,259,202,824,892,630,645,398,112,368,036,549,743,971,216,
028,403,008,018,657,928,488,205,264,735,676,101,996,881,100,793,995,156,949,
524,689,638,414,119,771,892,205,773,988,146,296,428,451,517,358,345,735,783,
250,499,084,241,566,788,498,624,022,194,718,437,165,125,793,987,743,419,433,
674,182,372,196,823,112,320,967,742,134,715,473,632,201,779,239,597,404,621,
145,679,553,377,750,467,178,705,923,500,076,025,374,765,799,883,399,156,187,
235,471,632,750,587,678,022,157,388,220,521,295,679,259,812,637,728,129,760,
548,304,248,948,231,014,630,993,561,875,329,687,297,152,870,721,163,412,935,
965,018,391,161,264,236,926,140,362,379,971,600,177,238,004,359,834,612,174,
840,702,045,952,415,773,150,381,100,905,454,802,277,661,386,820,070,644,294,
899,658,276,425,436,114,875,125,267,814,248,193,868,805,889,487,615,081,775,
514,669,578,620,058,767,036,888,494,999,038,447,761,113,400,212,207,231,246,
253,086,754,051,483,434,537,574,608,147,044,763,893,879,026,320,040,301,002,
096,750,712,931,028,729,361,229,066,138,414,819,085,617,396,286,015,247,646,
534,778,799,503,179,636,368,371,364,809,077,181,860,623,154,227,797,541,136,
301,501,496,304,197,347,215,705,714,649,168,791,801,920,534,853,644,695,347,
664,397,238,531,751,831,942,209,862,496,425,646,783,001,721,140,468,565,639,
894,264,638,785,926,292,338,833,568,584,036,506,343,164,343,495,733,822,063,
892,469,468,748,964,358,487,536,606,806,978,430,886,368,792,404,554,082,782,
582,061,250,894,608,613,003,791,644,563,896,005,006,156,355,539,477,710,987,
407,775,565,913,882,811,472,813,598,540,782,758,362,929,243,048,555,089,050,
317,900,353,804,436,354,790,202,832,955,222,353,849,206,121,689,857,065,908,
091,125,462,770,462,032,138,539,447,274,508,293,506,192,801,078,807,711,660,
852,597,233,781,581,967,332,111,923,721,685,955,275,787,507,846,330,216,550,
608,412,965,574,579,311,628,925,821,110,128,765,892,169,620,397,599,848,144,
865,725,685,661,329,073,293,897,773,614,411,794,358,453,313,366,905,014,595,
540,519,669,020,063,960,488,569,870,734,730,571,810,790,559,996,346,643,756,
548,360,062,805,066,349,764,734,189,445,235,132,175,153,038,393,619,940,816,
949,778,448,339,594,894,019,891,296,962,436,103,860,988,383,975,316,459,575,
733,600,306,945,881,944,858,880,963,879,482,439,998,241,368,796,554,114,980,
526,835,410,045,006,032,763,753,820,075,396,274,926,882,769,232,338,582,848,
634,916,669,746,761,006,175,997,298,915,925,243,755,072,991,627,456,871,369,
915,610,917,147,304,259,415,812,705,052,669,829,147,981,101,579,941,590,151,
561,321,163,127,789,391,675,635,952,516,805,090,948,968,820,040,969,040,275,
958,093,103,609,665,989,824,269,112,369,841,576,367,250,624,068,633,538,057,
633,610,560,896,217,629,667,765,810,447,149,693,427,833,398,412,445,832,513,
841,159,486,929,715,175,534,541,522,110,421,582,212,140,975,787,023,702,095,
986,871,597,262,692,507,337,676,927,953,214,077,829,827,996,858,972,406,407,
554,331,458,459,846,390,679,550,114,978,513,063,629,258,463,222,909,899,435,
967,351,173,729,051,102,407,585,673,069,607,426,081,901,799,570,134,668,968,
689,575,053,140,684,229,961,080,306,884,904,367,827,448,256,263,554,834,364,
544,295,590,572,151,588,465,226,583,481,527,981,801,470,653,468,953,465,078,
445,138,140,157,946,782,418,295,181,656,050,802,532,525,778,140,045,742,535,
911,729,968,818,866,866,580,061,267,841,005,439,767,850,382,443,602,022,659,
306,472,658,904,448,048,297,309,054,838,059,349,585,108,811,287,411,516,719,
228,641,818,999,647,683,625,858,521,649,695,947,109,965,827,357,443,284,110,
426,719,257,465,763,405,770,971,855,486,946,608,975,145,538,545,655,902,800,
775,336,559,438,179,265,125,933,499,939,497,839,924,380,761,944,131,159,491,
397,498,519,874,368,948,426,862,978,398,271,425,029,520,024,784,414,651,685,
919,603,889,474,183,714,047,900,722,510,464,386,334,101,679,637,468,849,277,
023,021,056,403,935,628,410,157,890,792,936,975,571,888,169,380,648,360,147,
811,438,256,078,373,104,369,173,436,970,872,924,568,242,192,195,238,541,711,
499,020,230,612,979,141,760,440,477,976,178,840,903,967,200,117,894,817,736,
998,601,716,050,160,138,626,315,274,461,035,153,129,936,381,544,533,186,740,
625,067,444,729,150,438,359,983,746,907,267,374,374,071,247,648,144,616,440,
024,162,284,007,587,444,528,753,824,600,164,498,824,698,227,510,167,037,409,
693,613,229,598,934,441,503,051,801,964,910,717,752,652,937,547,030,112,426,
209,541,830,953,229,062,858,499,262,239,999,792,470,300,180,674,076,426,416,
467,734,943,504,097,402,053,845,841,759,653,072,842,956,423,017,228,048,089,
192,742,294,043,630,895,911,506,811,252,810,165,540,705,007,724,934,524,458,
228,349,541,039,771,369,897,442,420,344,964,255,383,548,913,717,373,086,699,
800,711,637,156,279,554,431,145,776,070,076,630,721,356,365,902,939,014,527,
515,038,849,212,295,298,301,185,963,928,452,478,039,892,523,050,939,441,134,
487,465,594,647,960,185,694,656,345,492,814,541,186,749,904,471,825,855,268,
535,293,576,818,594,629,879,487,541,888,100,832,861,670,581,664,172,884,054,
017,325,325,207,954,539,266,100,702,117,584,918,952,086,626,317,116,494,945,
044,986,198,055,292,146,809,610,440,611,638,053,092,625,201,169,999,647,995,
482,099,021,754,525,974,013,911,578,913,699,160,114,314,354,185,931,120,654,
674,196,206,087,156,143,483,435,399,859,596,924,456,290,353,392,860,071,326,
273,350,466,734,208,795,447,007,128,255,838,362,694,028,928,274,197,544,701,
703,781,562,662,613,218,901,669,964,409,913,700,493,771,006,284,388,702,793,
678,676,637,960,923,448,661,170,421,440,854,617,079,338,432,294,272,302,622,
891,404,569,280,324,976,965,091,621,949,549,752,618,743,992,040,294,046,814,
044,988,755,952,328,859,348,397,849,319,780,005,816,461,216,113,225,352,261,
750,620,860,893,489,623,552,684,566,843,359,915,192,352,121,709,753,637,344,
819,609,113,402,595,056,413,823,483,635,711,451,903,239,834,900,885,511,119,
264,511,632,507,691,777,034,868,518,394,993,878,865,162,063,813,760,787,023,
221,188,831,522,629,216,193,458,361,993,011,068,661,931,222,866,022,266,154,
371,624,463,512,668,567,616,507,245,523,277,471,928,886,536,217,216,220,001,
458,620,706,121,718,234,334,160,597,248,119,697,659,102,610,529,178,554,874,
637,080,531,877,922,866,405,233,058,936,776,936,030,006,607,451,035,582,947,
625,297,933,453,229,299,449,965,586,754,761,055,482,869,312,641,114,646,469,
580,049,790,426,090,705,430,199,770,806,817,744,760,415,549,654,538,382,220,
160,769,006,817,601,477,158,606,659,407,202,831,057,994,567,574,736,265,110,
219,330,068,444,434,437,576,170,783,270,623,212,352,430,815,763,571,513,836,
680,073,131,981,392,167,292,676,857,694,423,432,284,989,199,819,047,636,712,
615,307,724,420,296,356,635,794,126,425,934,329,704,842,933,609,294,210,228,
015,956,456,273,046,002,916,712,191,936,515,506,235,631,491,890,621,396,679,
235,659,365,358,465,285,990,221,316,455,980,447,050,258,724,556,131,278,571,
128,323,184,491,093,637,473,749,727,216,701,604,474,633,049,097,144,835,953,
843,611,421,988,255,268,352,596,007,547,952,579,089,689,536,515,423,809,657,
720,388,088,282,700,830,358,915,094,819,919,077,636,114,532,782,627,138,665,
626,615,554,808,317,601,630,624,738,439,631,900,449,084,042,354,242,773,882,
353,559,725,031,426,377,395,215,239,546,156,944,812,502,246,244,779,032,500,
991,367,467,561,099,008,142,299,363,120,044,867,905,750,701,730,081,919,821,
572,081,124,826,979,167,409,955,131,603,617,556,917,059,435,414,372,942,628,
250,364,839,921,365,830,089,939,779,081,944,133,800,886,033,720,375,567,754,
904,156,368,102,914,776,223,007,129,015,438,090,555,731,119,003,804,193,079,
942,965,501,099,467,821,415,980,411,132,332,062,261,737,190,326,505,553,307,
109,180,717,188,269,799,539,892,980,072,856,987,131,586,402,604,248,499,089,
361,376,830,139,718,291,554,539,856,915,842,050,041,918,845,219,352,993,165,
629,423,405,560,523,475,193,386,359,721,664,691,140,286,018,658,983,736,808,
160,140,499,651,491,685,952,748,329,992,543,530,782,994,781,529,733,046,671,
025,561,718,590,833,497,479,991,158,751,553,941,334,593,704,120,080,390,605,
983,379,722,069,139,826,065,007,745,949,050,079,648,726,767,819,784,919,158,
297,493,319,403,258,135,580,402,907,903,163,068,482,667,156,947,877,580,239,
048,372,950,754,690,023,780,057,909,086,467,998,601,896,622,739,773,552,829,
559,241,599,126,196,964,979,849,274,084,459,806,023,474,692,356,793,335,730,
328,512,846,113,248,471,797,539,976,433,879,028,776,690,228,253,338,860,511,
641,837,428,663,857,797,221,082,823,532,963,440,042,468,202,045,132,210,792,
281,125,130,458,836,251,854,039,990,122,061,748,495,752,481,030,207,568,508,
891,659,534,236,609,733,369,281,269,230,321,897,317,258,554,583,342,660,593,
173,265,188,805,946,051,782,865,692,375,437,576,081,202,064,454,161,545,070,
879,096,800,935,742,210,792,640,871,131,984,029,616,657,097,902,271,321,709,
737,161,953,786,860,818,887,448,650,358,208,029,829,288,175,641,481,884,500,
766,187,005,885,800,202,319,017,508,895,814,190,180,925,040,523,669,827,416,
417,449,791,041,245,637,664,992,316,462,912,761,422,486,530,067,298,349,110,
181,944,201,574,673,151,780,512,690,655,794,312,829,075,900,450,334,722,095,
154,334,878,924,028,138,366,841,429,725,421,489,630,804,529,486,128,953,671,
819,296,247,210,317,715,053,515,385,157,270,547,900,145,657,655,357,835,495,
701,331,545,163,870,963,023,521,402,926,888,730,501,705,962,014,884,610,451,
757,991,904,073,127,519,505,993,649,654,963,002,034,227,619,144,564,775,027,
020,509,113,242,693,132,335,793,003,786,852,430,927,476,598,596,004,558,214,
777,633,475,777,673,371,439,895,511,512,631,507,548,878,543,921,110,836,848,
085,256,615,019,179,904,016,729,529,035,166,198,239,570,798,158,442,432,929,
168,740,480,630,513,431,278,816,941,696,195,436,648,480,483,764,958,058,740,
662,606,243,362,562,590,066,496,192,798,236,959,882,754,792,644,417,583,040,
340,378,083,608,886,377,828,022,705,551,835,790,288,117,602,533,833,457,136,
093,079,255,156,550,021,722,363,555,876,903,677,221,431,777,576,167,703,074,
860,800,564,235,638,775,237,061,853,106,531,623,458,128,456,729,260,211,399,
591,584,861,332,778,855,892,717,996,013,590,648,644,416,403,417,186,564,516,
201,529,934,547,238,897,600,511,756,853,880,504,565,838,969,110,990,342,769,
495,432,566,674,147,059,529,705,968,620,787,518,172,732,383,538,651,622,163,
598,229,379,776,388,390,189,147,265,442,617,285,510,181,739,038,940,368,139,
538,210,402,667,140,589,838,272,170,970,332,887,278,457,156,979,123,463,994,
325,917,920,347,975,290,101,491,189,167,159,671,202,418,560,152,746,763,524,
821,141,413,695,556,698,007,219,598,129,588,157,528,036,315,743,165,558,192,
091,451,531,891,783,365,319,945,973,252,739,214,312,265,467,269,392,567,811,
188,500,182,032,240,774,995,456,776,093,522,459,178,290,722,063,639,183,601,
752,452,976,573,956,779,991,608,063,663,343,167,982,753,432,432,218,380,205,
757,574,246,007,826,217,549,390,947,501,793,723,395,214,079,358,349,615,693,
522,034,019,898,668,581,642,228,018,744,726,311,810,231,138,096,122,126,732,
127,336,921,499,407,198,314,487,715,037,270,791,276,906,015,838,743,087,026,
534,918,237,725,989,605,707,546,286,036,420,135,699,732,963,435,665,433,123,
924,319,383,196,536,861,927,211,335,042,390,137,759,796,370,085,187,731,809,
297,943,122,962,571,106,982,524,666,737,267,892,170,471,533,349,949,810,842,
913,359,431,409,756,151,654,722,795,748,747,413,654,574,817,965,009,246,192,
512,327,720,542,936,648,041,534,398,394,441,900,512,871,975,548,977,703,485,
084,456,419,214,979,711,383,137,242,611,096,462,725,380,281,420,765,043,922,
844,341,109,886,777,771,900,409,870,552,688,921,971,755,914,118,916,848,064,
295,794,871,505,988,163,097,675,809,016,283,545,812,457,719,238,560,868,990,
365,729,955,422,861,829,681,732,848,957,845,530,544,233,217,050,208,806,745,
506,148,668,515,521,322,743,277,305,032,512,865,306,852,094,225,018,055,212,
167,607,361,873,056,642,363,826,349,705,978,296,311,515,215,113,025,731,849,
015,770,708,248,955,796,444,152,807,752,650,128,499,783,390,032,785,367,215,
206,450,107,276,374,379,521,350,694,462,825,774,832,527,999,825,460,834,805,
557,149,113,087,600,138,230,872,182,341,387,581,084,034,960,837,190,659,944,
921,699,307,212,369,215,914,104,340,604,135,412,747,699,137,304,032,068,747,
599,553,367,322,607,933,298,708,914,844,890,852,236,907,164,991,304,690,564,
456,125,957,719,751,913,446,489,669,876,596,710,234,976,108,201,919,264,701,
153,562,871,683,497,984,715,142,194,594,656,338,055,496,118,581,580,034,913,
404,965,123,786,587,637,130,693,888,062,599,084,220,938,385,313,861,300,872,
043,660,982,476,229,210,282,795,884,246,359,843,512,157,862,345,217,083,191,
011,391,276,170,732,727,382,513,039,513,790,652,727,426,626,484,641,358,367,
677,084,304,669,585,971,349,218,251,901,240,772,017,334,238,972,720,896,169,
859,757,472,079,600,841,870,782,580,670,948,607,787,844,580,492,970,539,175,
759,404,559,168,726,579,466,837,344,102,956,111,633,118,669,802,180,549,550,
486,180,560,834,693,627,379,797,006,654,322,979,178,001,398,313,663,778,346,
764,722,938,018,763,221,037,748,141,632,951,387,272,422,711,825,374,275,910,
196,739,525,658,624,550,175,041,392,497,757,085,423,930,529,168,599,012,339,
457,490,730,587,687,141,444,345,435,028,541,076,323,938,345,348,955,242,614,
776,875,558,992,848,118,425,951,524,459,465,686,095,092,143,947,416,055,523,
363,953,518,102,684,379,929,196,088,020,681,092,783,056,561,171,134,259,440,
662,961,706,657,081,192,890,006,745,694,356,675,371,154,166,551,682,274,754,
672,907,732,136,160,996,008,455,595,130,644,893,200,351,405,159,023,935,041,
047,399,103,120,373,379,590,118,981,435,570,421,492,757,021,135,556,256,989,
378,052,795,528,650,371,248,488,033,429,021,238,061,835,329,998,147,698,862,
009,881,396,138,092,972,248,101,707,551,571,121,200,957,930,487,393,285,647,
748,077,260,687,707,188,387,728,383,757,678,141,671,065,126,768,158,280,763,
325,772,909,580,995,070,098,559,707,375,013,429,207,380,924,474,567,943,969,
477,058,827,758,569,447,760,176,837,602,771,865,380,993,601,614,603,379,573,
545,702,791,907,776,429,290,580,676,336,113,770,103,378,097,052,252,659,819,
140,357,386,240,839,180,844,788,627,915,016,318,970,567,158,668,568,733,863,
742,990,552,856,466,915,760,088,452,419,309,457,695,694,643,465,115,761,792,
264,044,017,984,729,925,033,776,713,152,071,572,672,474,415,554,001,470,676,
112,179,009,770,314,770,678,422,073,383,802,970,232,547,355,168,755,304,761,
995,453,098,919,130,772,577,527,344,011,729,017,930,828,127,337,523,496,877,
252,403,850,596,990,661,686,200,176,952,714,020,590,226,135,795,668,123,875,
230,467,861,819,928,493,229,232,095,625,332,709,978,000,285,965,617,025,703,
456,433,306,944,831,070,752,985,627,207,558,129,072,937,980,590,146,517,981,
442,932,364,944,375,978,068,289,645,813,325,699,058,428,791,323,076,845,424,
643,586,617,960,725,942,347,684,240,795,892,849,341,340,221,204,875,765,579,
585,088,872,717,167,261,325,562,769,724,861,920,292,880,468,789,974,948,122,
286,751,683,654,430,384,519,143,042,198,758,495,592,295,876,537,982,457,843,
997,768,637,208,986,640,459,936,985,237,125,696,065,939,061,082,190,709,191,
251,878,302,719,081,152,995,358,438,782,121,132,772,297,351,372,470,090,534,
226,044,820,585,217,243,669,562,017,470,706,021,688,646,259,807,876,008,645,
988,256,069,812,707,852,282,655,289,548,069,490,877,078,864,414,322,592,297,
998,659,475,693,547,235,970,402,287,722,338,981,321,387,401,141,127,668,855,
587,160,803,290,531,867,358,849,510,425,844,977,568,034,811,025,779,176,197,
078,244,527,244,346,224,073,559,713,056,474,904,827,285,898,113,868,168,213,
101,240,661,037,785,560,957,862,287,696,647,914,751,988,528,676,389,908,566,
449,976,514,143,881,827,292,310,431,017,795,750,157,933,478,931,085,544,380,
253,370,228,711,558,938,895,685,835,008,682,911,318,528,125,406,280,148,343,
932,693,376,693,447,635,710,976,746,599,869,692,527,671,705,418,052,741,457,
720,576,759,341,327,747,756,809,129,480,919,363,199,656,518,859,698,393,894,
571,545,952,801,104,467,321,836,913,197,361,452,708,749,096,838,612,555,108,
111,554,515,258,199,636,000,634,735,594,648,428,749,763,730,241,433,208,479,
975,842,930,727,951,489,175,723,012,066,160,711,252,655,799,835,254,910,116,
230,762,854,582,560,694,598,385,740,525,255,794,070,500,197,950,092,657,796,
932,008,386,321,761,541,720,973,517,967,112,501,710,545,968,992,740,804,497,
352,456,416,144,504,740,354,831,933,727,819,251,960,349,503,935,057,004,488,
104,844,622,570,664,573,720,433,362,199,082,478,363,316,366,599,624,238,468,
516,510,195,943,941,028,264,793,421,451,968,772,769,961,604,374,796,888,338,
554,318,211,385,755,578,059,208,264,207,777,409,008,299,492,949,518,230,643,
782,730,785,765,265,479,980,498,448,811,551,423,226,605,792,831,317,389,839,
219,754,782,238,276,163,842,258,451,123,292,334,356,533,962,789,625,735,343,
725,998,388,423,265,930,447,765,547,009,858,159,421,376,911,551,341,039,047,
670,110,360,590,485,175,949,149,025,240,911,285,840,771,480,771,603,810,805,
358,861,424,551,703,920,014,860,067,384,772,937,326,465,010,042,772,335,187,
756,193,398,554,021,125,366,069,091,442,408,957,000,439,211,375,855,820,056,
404,077,583,518,444,914,631,000,823,919,967,230,182,931,689,794,276,226,435,
989,499,886,333,056,900,400,439,851,111,559,622,431,799,068,430,050,985,272,
330,246,741,876,217,020,509,222,750,135,866,728,258,857,230,705,026,094,208,
840,878,436,059,240,926,022,772,399,533,756,495,556,378,759,740,713,806,353,
963,644,925,124,379,566,280,430,515,822,589,609,094,194,076,974,809,868,239,
252,529,118,771,173,470,114,338,932,767,434,425,845,626,884,477,687,061,785,
035,067,614,923,170,601,097,637,864,136,556,611,128,863,459,219,964,602,790,
522,696,553,155,761,507,485,228,770,269,821,592,872,865,209,823,496,644,460,
017,698,686,580,400,476,009,590,534,647,481,191,876,571,998,613,900,708,861,
873,376,141,201,694,628,538,540,086,310,617,513,970,478,820,179,192,605,011,
638,559,472,753,246,337,419,714,186,832,827,561,219,171,331,025,768,080,219,
675,975,824,752,495,258,888,918,399,565,672,416,746,004,587,009,118,448,048,
742,913,313,792,491,010,904,716,627,557,666,835,875,525,643,826,856,378,167,
139,775,823,431,422,455,983,684,220,024,902,771,680,927,368,024,506,607,937,
902,083,839,274,881,203,042,279,346,234,506,106,612,094,082,530,168,159,132,
099,195,295,849,483,678,790,361,739,103,224,981,147,873,709,835,100,044,772,
879,352,074,239,836,848,806,390,764,055,616,998,290,475,987,841,509,382,011,
520,356,100,424,557,200,163,916,002,870,683,589,132,875,296,157,910,457,156,
529,943,971,178,099,121,211,556,525,149,138,940,042,474,385,307,967,028,525,
887,177,125,565,349,214,660,591,789,790,518,365,577,761,867,227,657,880,403,
033,000,436,312,716,096,007,149,291,905,818,013,646,961,639,857,865,711,952,
999,029,634,999,966,777,354,956,302,530,993,565,356,578,432,413,585,452,087,
750,537,832,708,663,588,980,734,991,585,640,458,750,369,087,366,540,470,354,
811,633,132,142,573,032,142,172,271,239,739,197,374,489,000,513,852,746,736,
992,717,230,261,935,359,313,660,063,168,832,780,305,384,702,028,628,850,279,
146,753,222,176,130,715,108,665,227,045,499,622,914,896,396,828,758,791,110,
767,554,886,887,306,535,618,543,124,383,811,908,053,846,406,650,745,765,765,
617,479,559,816,529,549,048,097,387,006,252,280,900,403,806,043,872,546,065,
635,658,844,769,292,310,412,207,706,198,267,968,584,147,127,881,887,603,904,
025,411,429,697,908,880,186,640,182,356,975,203,510,704,894,851,379,041,669,
683,291,415,064,663,627,903,312,225,539,806,644,116,468,936,808,413,257,612,
807,000,057,728,304,761,893,960,049,640,213,292,563,907,196,164,136,223,750,
499,028,815,592,207,077,210,198,465,925,818,094,160,463,660,552,640,978,402,
281,564,968,368,018,478,952,976,330,836,176,739,836,589,005,112,746,064,683,
338,688,080,803,556,275,524,103,173,257,960,878,407,231,660,584,080,772,715,
066,605,144,692,529,152,999,517,945,310,882,272,322,837,713,445,664,906,265,
646,321,083,156,755,944,700,041,163,610,612,408,612,042,867,879,430,466,743,
181,877,623,593,692,321,769,430,560,873,075,778,465,572,623,632,928,371,939,
234,569,950,020,395,314,919,593,928,822,409,463,964,465,132,397,871,899,827,
224,387,101,283,796,179,379,915,353,172,365,901,869,687,248,660,300,519,029,
011,160,456,223,980,452,298,032,580,697,200,345,507,610,701,150,421,586,178,
395,473,736,405,936,791,945,583,685,060,181,564,733,565,777,885,914,179,321,
741,210,169,106,880,510,190,307,151,553,770,343,989,235,374,152,595,435,959,
110,885,619,191,067,347,202,644,681,210,805,184,383,082,764,485,776,701,806,
422,258,280,446,794,206,734,601,619,322,974,355,924,712,115,499,787,641,100,
052,464,417,503,598,181,093,548,557,234,826,454,480,459,627,095,662,283,447,
618,093,760,430,860,080,206,637,934,012,616,555,965,306,354,579,782,313,147,
178,175,041,980,630,211,180,974,756,858,017,963,147,021,967,614,830,749,690,
069,341,441,314,224,918,400,836,927,712,018,408,601,180,508,820,983,564,403,
441,672,435,292,146,379,537,968,355,998,941,696,714,251,790,815,483,791,416,
538,515,133,331,733,058,566,851,913,145,082,564,724,583,765,684,888,971,159,
714,736,213,571,842,909,928,916,423,568,983,640,257,109,866,865,665,131,461,
985,391,092,420,615,985,482,178,162,522,138,368,103,856,406,587,168,012,198,
584,749,364,406,879,154,341,226,591,737,757,641,629,783,202,182,944,913,803,
802,188,505,887,347,842,857,047,882,834,658,136,966,937,856,197,842,135,132,
902,365,904,083,676,892,182,142,945,602,705,940,575,381,696,663,663,415,458,
827,166,878,535,585,172,271,426,881,698,214,466,444,392,651,246,708,206,482,
901,857,811,712,510,839,997,543,552,962,586,169,464,631,523,581,520,503,012,
423,033,560,543,673,699,236,889,284,868,942,903,583,588,000,669,520,747,815,
996,443,397,603,717,970,993,714,266,969,328,973,583,077,568,488,895,277,409,
463,261,973,087,695,574,272,610,645,551,457,286,036,529,410,771,783,089,048,
009,339,130,223,624,946,697,907,350,997,124,597,473,423,731,517,906,394,963,
127,292,842,560,408,731,060,882,032,412,244,054,929,166,773,584,079,487,949,
473,522,679,869,418,207,832,022,594,814,354,448,558,170,779,140,758,558,700,
047,054,721,286,987,459,389,266,927,375,187,485,845,930,057,685,148,638,488,
558,916,527,643,833,687,448,258,479,937,136,687,230,869,796,187,065,114,528,
040,392,119,645,606,472,731,925,342,032,996,192,451,028,629,020,506,743,321,
014,891,037,358,368,556,007,830,050,031,507,562,244,347,212,694,148,051,611,
107,014,340,918,983,146,114,134,695,270,212,590,160,298,948,740,804,287,815,
890,333,613,760,413,633,472,298,685,308,335,673,574,711,424,285,403,136,458,
212,567,028,956,241,232,232,838,336,062,053,551,984,862,790,309,648,054,299,
214,121,589,953,249,958,239,915,766,091,334,427,204,346,802,406,298,451,861,
752,372,718,339,677,028,974,125,501,829,427,728,730,762,686,561,780,760,106,
149,586,845,992,502,199,295,735,645,240,897,698,523,668,665,602,281,528,578,
213,909,900,606,180,610,131,604,063,267,461,389,268,583,203,152,080,425,638,
768,264,224,251,341,363,127,357,673,551,326,358,623,425,983,690,511,685,454,
226,319,233,707,702,624,511,515,396,686,380,070,053,194,112,035,560,095,050,
948,537,416,603,380,035,376,647,840,860,477,275,819,732,646,199,665,963,798,
733,651,817,621,543,763,126,380,590,926,788,198,444,785,148,130,291,212,482,
239,587,834,628,424,956,361,109,394,668,151,233,258,341,356,362,810,401,398,
620,529,274,270,841,196,630,266,750,343,824,368,691,672,576,652,181,742,437,
873,692,464,344,664,832,192,331,497,236,509,184,319,360,762,190,388,211,712,
819,481,744,199,375,221,998,199,987,246,043,979,040,689,104,361,561,333,712,
923,682,682,904,563,103,135,921,430,807,601,511,256,546,821,953,947,292,785,
695,904,830,930,247,899,814,735,138,368,277,888,579,877,599,353,604,250,160,
746,738,298,906,194,021,194,608,815,832,587,740,403,646,192,295,720,393,447,
389,719,371,468,838,718,630,744,012,741,810,667,684,513,882,287,242,509,964,
520,293,902,890,293,287,981,680,875,010,703,858,131,137,357,807,865,068,747,
752,434,702,161,873,033,311,594,811,092,401,752,547,863,324,677,378,736,662,
760,224,692,442,479,582,050,795,115,569,128,065,069,028,879,340,060,206,713,
138,416,607,103,673,697,459,033,935,365,982,280,151,948,661,503,107,928,770,
715,773,746,896,738,639,213,783,897,512,121,210,386,776,090,443,967,254,509,
674,142,218,875,917,858,218,391,150,812,121,083,479,314,191,014,878,177,918,
283,250,743,641,826,326,090,373,383,597,521,291,800,089,784,003,828,639,236,
445,600,229,896,945,225,012,315,747,146,896,149,817,899,719,572,991,740,345,
343,155,520,623,398,415,469,232,714,389,926,195,059,666,214,038,581,067,727,
407,874,997,983,680,042,019,852,249,968,501,395,896,513,239,307,911,939,015,
584,752,707,122,334,210,831,376,701,271,133,835,840,337,506,725,164,869,918,
696,710,949,597,144,789,551,991,780,573,362,347,807,630,287,480,365,286,393,
708,294,836,094,571,976,862,523,977,960,068,663,189,152,765,364,444,677,831,
565,157,934,564,357,305,822,545,995,670,153,296,923,239,385,433,420,940,274,
001,130,817,194,386,482,067,254,149,062,191,542,645,673,086,892,411,415,009,
848,302,848,162,848,053,121,711,818,217,150,029,522,321,998,012,338,464,857,
501,187,069,061,797,303,249,511,109,783,786,021,513,251,415,123,236,723,742,
476,775,959,968,884,292,508,862,153,315,953,453,966,780,741,002,801,565,458,
205,681,463,563,842,520,487,894,124,745,595,161,782,566,739,934,490,111,912,
028,559,331,283,688,318,868,991,926,171,596,403,151,300,719,978,960,176,799,
530,656,286,343,510,056,170,392,225,272,461,094,746,261,017,670,158,463,022,
373,582,471,804,608,733,261,385,642,128,766,188,719,162,291,857,388,129,382,
030,191,581,999,502,284,102,391,322,410,310,551,020,111,224,342,495,759,619,
002,723,922,106,545,422,557,926,454,132,535,828,032,047,133,677,799,985,749,
518,544,548,457,481,769,750,935,647,445,567,886,783,315,286,672,331,715,400,
581,779,933,390,814,876,363,086,908,224,856,910,181,883,403,449,661,868,482,
990,185,885,334,761,378,012,654,335,020,856,069,070,366,115,843,846,447,412,
494,808,997,927,125,902,715,259,947,658,527,894,849,806,919,240,952,221,968,
341,995,454,188,239,307,461,359,538,101,916,746,071,498,838,684,584,965,111,
640,083,889,371,381,099,867,999,508,673,663,714,690,575,206,451,647,287,551,
766,498,387,690,899,798,953,391,915,732,319,642,098,225,468,045,066,224,815,
594,384,945,003,869,330,135,554,752,142,793,570,349,002,606,495,636,177,578,
984,099,955,065,876,516,936,439,186,256,418,855,069,716,609,394,995,028,555,
053,704,020,875,118,092,936,556,373,292,355,314,221,397,373,913,251,320,669,
780,113,359,160,102,135,682,042,564,014,539,873,488,951,925,339,565,788,786,
757,072,933,328,936,711,169,043,877,880,519,040,809,141,835,493,402,968,276,
641,681,679,991,876,143,284,648,858,158,963,546,566,642,680,151,531,399,251,
082,430,577,053,089,342,359,990,039,573,812,577,087,654,006,079,389,241,392,
364,790,999,162,062,031,541,330,534,402,807,206,521,697,001,342,184,062,834,
402,980,299,348,093,554,837,247,559,024,416,479,785,928,632,044,672,186,855,
032,505,548,222,784,942,154,749,230,253,541,334,524,090,834,428,014,825,524,
402,246,096,006,679,897,577,711,016,804,871,307,884,568,518,897,681,205,148,
848,303,222,886,317,482,620,560,585,390,117,184,233,349,515,455,140,160,659,
820,235,756,027,935,317,317,244,208,267,008,143,857,833,079,599,570,917,644,
612,870,510,169,544,398,766,397,392,883,432,598,127,870,509,680,611,024,220,
503,405,243,015,385,927,363,385,687,057,690,853,337,205,411,124,893,563,467,
905,835,453,496,620,359,831,876,518,637,572,905,339,215,039,890,518,143,178,
721,221,002,030,672,059,715,312,007,430,919,521,702,309,686,252,410,230,030,
384,056,644,309,080,299,420,673,852,976,834,502,311,622,173,113,886,612,481,
700,028,629,240,900,130,794,640,821,355,654,455,517,036,703,045,530,454,272,
758,636,983,021,096,656,610,941,790,964,016,918,591,983,414,407,386,489,993,
534,492,400,183,979,391,429,468,547,865,663,985,516,615,099,688,711,753,374,
980,269,339,036,475,878,780,846,929,908,039,440,803,002,237,802,974,653,214,
981,083,238,239,433,745,979,836,909,672,596,298,080,106,941,574,070,088,180,
520,884,845,017,980,216,106,035,686,750,841,720,595,612,646,438,775,848,236,
570,598,935,796,326,037,015,907,309,130,849,583,449,987,755,496,856,017,345,
878,172,995,220,147,750,462,129,673,775,059,172,117,356,942,938,005,140,238,
927,415,123,058,983,802,507,522,194,290,384,949,972,193,169,958,529,581,357,
206,956,590,111,167,229,850,606,073,066,018,609,251,597,168,342,435,824,863,
736,008,663,092,871,307,858,315,665,458,574,490,204,279,623,602,732,194,187,
696,863,550,263,049,306,588,105,391,290,741,893,028,231,796,504,020,436,340,
689,229,461,997,452,580,756,207,963,977,399,875,102,211,226,430,771,081,727,
186,332,741,734,499,218,234,859,950,814,311,735,217,830,662,319,310,021,760,
152,155,773,227,506,696,157,255,408,602,314,558,825,931,289,114,669,629,638,
327,683,335,771,756,280,050,275,201,271,396,415,707,846,040,438,757,544,156,
481,032,990,517,571,703,195,897,206,089,158,951,111,414,878,443,234,962,497,
595,303,432,216,813,312,210,682,990,332,777,190,964,718,979,465,628,469,599,
845,219,546,719,301,814,398,160,880,195,636,311,073,961,677,052,304,707,713,
101,914,999,399,864,374,404,472,625,331,753,390,767,228,869,908,534,084,890,
376,515,838,593,087,031,465,387,248,265,264,265,193,171,698,206,167,960,796,
556,129,692,285,122,305,853,008,789,124,751,378,378,772,222,361,765,457,142,
360,699,473,969,625,682,070,895,975,580,412,893,527,155,222,240,217,954,366,
252,732,804,628,234,353,965,150,008,374,220,064,336,220,743,926,152,588,229,
993,970,241,138,530,869,744,754,996,106,632,100,007,844,647,816,195,297,642,
955,675,848,113,994,710,140,447,288,002,150,041,151,580,946,053,816,227,252,
274,239,113,871,888,230,591,299,198,350,496,761,481,088,221,099,063,828,994,
547,607,179,473,695,712,806,333,638,976,990,429,152,191,987,023,655,660,080,
623,778,987,701,046,953,821,424,014,916,114,229,632,793,999,480,979,627,770,
274,339,772,984,551,973,739,320,281,967,261,770,368,316,984,754,645,654,630,
088,254,232,993,514,396,119,058,332,162,582,663,889,091,320,374,264,178,916,
552,967,464,496,889,728,760,674,828,097,288,749,654,160,328,704,175,201,249,
686,547,840,521,601,169,734,875,824,615,163,600,233,389,531,697,655,905,652,
646,424,458,908,509,856,289,941,901,717,983,268,046,655,287,894,850,872,133,
008,288,242,806,168,379,317,205,505,300,039,618,248,350,455,363,100,796,077,
497,189,021,520,962,028,113,178,252,560,545,709,258,744,196,306,166,512,744,
927,085,836,188,999,004,407,220,283,213,985,431,823,407,935,625,773,139,817,
970,957,868,011,347,765,175,381,281,877,048,595,643,229,216,391,931,519,072,
839,581,089,717,037,099,981,789,846,285,586,831,489,272,228,086,187,900,405,
546,860,902,578,479,794,574,421,450,693,334,482,309,608,405,179,484,565,737,
354,102,031,973,725,475,461,411,127,366,658,563,892,415,308,241,853,559,324,
774,800,518,961,997,811,921,058,699,389,394,322,749,332,850,953,390,914,507,
807,706,256,625,134,955,878,989,793,495,399,133,530,301,296,947,607,714,238,
695,197,888,158,417,993,520,048,140,831,768,102,028,475,108,448,869,899,848,
199,801,703,373,471,251,006,211,113,349,384,677,266,424,901,089,180,259,252,
580,536,047,831,000,906,176,321,852,524,414,325,171,674,100,208,807,262,398,
257,927,123,902,248,192,530,681,701,417,077,581,734,269,132,093,021,059,664,
169,641,801,535,411,728,849,621,834,926,851,513,220,733,667,265,990,801,751,
123,165,937,449,788,637,400,279,539,249,679,135,111,897,712,468,031,544,424,
964,543,783,782,511,917,651,652,265,138,717,173,233,392,737,245,854,407,253,
465,433,608,977,858,210,745,811,008,210,861,450,584,056,086,504,177,476,015,
127,956,508,261,422,651,722,839,049,492,713,704,635,945,254,160,039,878,291,
229,665,202,899,215,628,251,348,320,167,240,896,167,200,593,101,934,661,546,
595,936,185,121,025,754,635,190,476,336,330,570,830,137,413,232,718,753,999,
019,395,868,156,800,462,950,148,660,610,386,160,836,943,557,281,541,403,621,
083,268,296,453,206,935,826,701,322,627,834,691,071,523,404,499,759,475,307,
735,194,099,283,724,730,553,961,629,108,285,529,459,044,806,006,417,057,985,
575,781,452,034,601,100,033,595,765,985,479,572,747,200,410,973,917,975,208,
730,253,026,604,371,711,939,193,733,507,131,671,150,263,586,438,919,268,295,
022,561,948,011,045,630,375,194,786,470,509,275,376,691,457,702,355,358,771,
068,993,702,435,806,094,752,612,252,386,994,577,881,152,094,398,195,725,025,
510,601,097,256,505,584,928,011,714,023,060,689,697,561,224,510,125,804,795,
622,835,473,980,258,637,211,304,851,265,657,870,262,487,037,606,158,938,130,
090,520,224,168,871,106,669,903,262,731,763,418,853,994,793,498,964,728,637,
289,442,412,746,744,877,115,986,780,253,627,258,101,657,547,328,450,207,268,
031,375,720,756,630,311,433,327,000,260,216,500,471,734,986,365,321,833,906,
422,225,856,878,611,282,641,145,279,007,389,941,226,390,003,356,168,286,587,
429,807,596,454,847,709,265,524,388,297,357,226,662,841,813,887,358,728,890,
669,665,278,160,684,021,374,722,868,082,922,531,616,874,744,061,963,045,156,
665,358,332,504,426,325,815,481,473,840,430,387,109,972,499,792,389,310,930,
745,261,141,527,298,260,869,619,433,489,040,982,480,993,734,533,204,106,194,
728,374,664,886,030,954,398,303,907,599,154,542,246,510,324,704,694,232,699,
951,198,633,819,463,821,455,939,106,940,803,036,339,237,217,681,015,355,977,
408,986,974,566,743,038,109,169,123,276,773,067,789,510,355,322,286,263,364,
278,529,774,703,589,233,758,723,195,450,778,863,278,065,616,891,858,502,327,
526,463,669,811,315,830,610,969,544,527,550,364,738,836,245,130,071,053,648,
147,307,963,798,579,531,340,523,896,882,816,331,334,610,072,472,054,102,730,
505,980,979,831,000,367,509,468,671,891,618,260,930,901,704,893,461,463,484,
538,899,676,996,844,741,153,730,257,903,938,945,284,259,604,493,640,447,441,
102,331,227,284,003,864,451,475,826,081,098,003,263,157,928,995,226,295,695,
469,929,713,275,482,119,666,972,587,877,942,629,984,528,232,769,850,652,424,
461,013,393,510,855,103,453,432,480,257,640,581,373,034,487,309,000,189,133,
297,355,259,344,846,831,921,976,818,155,436,618,409,837,782,560,885,314,663,
935,546,026,369,897,059,385,159,447,074,113,078,825,297,284,744,372,936,643,
919,848,922,211,555,948,352,935,779,449,145,963,035,987,894,903,153,312,197,
069,509,865,311,506,231,988,220,465,856,496,905,636,941,037,296,997,790,155,
714,265,784,849,741,490,752,533,625,544,441,720,001,879,493,203,507,915,895,
151,571,116,799,598,884,494,642,366,402,977,617,791,061,433,876,908,314,895,
912,434,948,761,976,405,559,551,079,346,158,383,497,608,748,899,242,082,282,
236,243,710,701,815,420,305,998,684,596,855,780,231,255,763,509,256,627,125,
877,361,077,559,801,414,225,883,170,467,838,310,527,027,689,060,646,330,524,
979,717,392,733,579,068,454,812,722,520,096,830,941,917,109,780,634,430,476,
741,028,555,933,813,511,681,705,068,536,005,909,774,235,453,904,841,944,372,
329,412,242,381,473,913,965,655,429,428,568,676,160,722,950,959,165,250,274,
576,894,304,653,614,348,598,219,011,347,308,008,170,832,553,676,488,988,203,
634,740,470,159,481,831,401,139,001,372,435,794,317,276,026,602,828,061,236,
810,728,629,099,833,459,322,541,824,566,990,919,012,392,952,410,294,032,970,
382,368,989,035,071,333,938,392,085,589,583,934,777,551,200,935,099,208,224,
287,045,227,293,085,660,657,902,270,519,331,654,577,479,380,917,143,911,044,
128,579,964,794,848,729,093,894,248,217,893,517,785,824,662,789,405,955,652,
209,032,786,611,241,971,171,223,131,162,556,666,375,172,041,397,268,665,104,
628,834,418,200,653,905,144,731,633,858,697,376,611,874,007,558,726,880,098,
812,871,396,341,110,877,019,239,524,625,282,487,356,451,506,692,475,738,748,
273,350,534,461,509,498,845,226,071,261,680,126,138,118,561,665,081,241,473,
440,177,027,934,909,126,800,928,350,571,148,640,779,070,975,827,609,648,473,
874,683,099,019,711,730,672,232,779,438,140,107,936,582,455,619,202,994,470,
630,118,774,190,012,365,065,039,939,853,803,086,307,917,152,894,957,845,509,
596,699,664,468,131,984,377,057,109,640,965,795,074,292,479,489,298,822,326,
134,211,023,123,035,048,362,611,994,655,609,865,800,090,315,765,401,718,064,
543,438,885,430,105,961,751,303,988,563,597,071,391,977,963,202,348,616,235,
939,916,735,091,566,069,097,490,431,373,920,825,853,516,420,102,201,871,775,
378,086,841,455,619,415,209,828,823,578,048,717,717,747,696,038,105,000,696,
993,727,672,271,856,898,390,453,547,270,072,634,925,684,981,022,558,795,927,
301,993,375,828,379,850,797,663,158,502,781,214,687,858,248,509,106,769,340,
921,313,113,075,943,833,105,708,392,484,512,714,724,384,545,738,728,143,083,
240,590,030,899,027,000,640,410,072,572,223,031,303,277,261,339,857,666,056,
441,235,252,504,436,207,710,112,347,450,835,716,484,475,464,125,721,468,315,
356,920,606,579,506,084,576,940,711,448,061,925,040,654,504,338,716,851,691,
697,995,671,650,623,161,316,994,889,410,921,837,920,954,443,000,764,285,303,
023,531,636,968,781,865,544,598,667,982,062,954,648,367,795,860,287,646,283,
691,607,491,121,706,263,299,864,987,976,035,260,710,868,509,681,645,463,194,
036,306,406,908,127,402,395,941,102,381,394,158,920,705,712,852,300,496,095,
477,732,838,831,012,967,958,425,782,831,405,793,248,212,734,826,218,295,528,
332,722,624,875,344,673,250,111,269,583,053,362,209,333,153,465,865,644,285,
490,313,277,346,732,277,852,017,761,067,181,670,309,039,113,703,709,604,643,
581,530,361,596,598,856,017,856,253,101,827,991,743,002,916,111,675,397,895,
609,824,869,715,555,308,084,801,806,956,956,169,377,342,767,268,422,683,694,
123,776,478,771,791,787,545,830,272,247,243,728,373,265,815,513,459,628,812,
440,060,525,718,181,508,917,556,364,460,548,775,619,512,435,220,666,918,660,
568,673,803,269,345,009,235,101,472,064,718,293,868,071,187,882,976,442,097,
771,921,098,519,887,972,263,712,639,974,973,636,098,311,537,918,759,389,158,
944,295,090,754,122,341,747,105,831,367,837,587,798,161,225,479,703,307,684,
714,972,086,626,724,349,074,660,572,181,900,370,238,824,264,039,464,216,982,
364,242,406,071,633,135,460,660,173,504,958,367,831,696,381,181,053,693,810,
618,377,917,576,511,663,346,472,668,613,979,632,146,472,438,793,152,111,661,
912,108,979,140,656,752,582,852,754,398,602,894,949,064,408,041,431,485,805,
531,281,665,677,928,768,459,347,915,931,546,784,293,523,333,510,200,655,376,
248,760,628,657,374,056,250,496,564,548,355,759,558,811,179,106,268,745,888,
427,205,616,189,399,004,653,463,123,425,021,079,656,788,145,111,928,277,852,
115,306,424,049,972,568,145,097,569,983,846,143,265,675,914,811,054,300,422,
051,219,625,571,944,711,665,715,603,784,542,733,749,288,375,495,277,244,339,
547,747,305,032,875,422,467,950,522,571,632,575,391,251,286,131,795,690,242,
931,990,088,114,927,901,772,567,882,968,020,584,422,116,698,891,912,288,440,
392,717,736,504,845,107,569,205,411,954,372,003,334,604,972,737,036,709,310,
833,409,359,023,217,995,486,259,205,644,015,459,757,925,050,135,921,643,455,
532,853,558,824,707,136,077,056,871,837,577,517,811,746,478,614,650,317,800,
786,437,326,433,850,834,392,232,863,392,385,816,292,797,370,769,443,681,023,
632,697,276,186,875,094,325,572,970,571,246,737,539,312,310,154,464,673,536,
187,180,816,247,749,126,861,295,371,472,815,584,731,658,537,481,315,804,106,
433,558,441,395,242,278,053,219,925,859,450,280,389,823,935,151,665,387,951,
467,072,992,112,756,208,324,635,075,546,396,036,235,922,826,416,868,011,302,
612,243,757,659,923,415,785,573,148,336,305,357,852,589,889,955,433,679,655,
530,140,907,536,569,119,573,611,166,545,663,746,895,682,678,010,685,459,213,
228,729,570,998,423,518,690,551,743,474,097,516,507,358,946,354,609,105,526,
213,152,410,482,942,600,690,847,940,923,172,355,765,862,872,457,577,206,442,
217,786,119,147,059,246,650,479,364,543,722,687,399,497,820,039,330,230,994,
585,716,669,299,492,804,670,520,446,944,283,499,179,584,398,717,230,330,978,
770,180,284,436,486,431,202,926,491,130,160,863,712,720,138,821,429,915,922,
933,691,147,832,216,273,488,462,593,504,822,056,737,623,592,761,095,470,233,
816,257,565,670,997,932,913,758,849,724,567,999,203,858,584,205,780,274,133,
074,981,338,822,508,966,851,869,994,032,325,400,166,515,454,287,498,096,348,
158,069,490,110,718,398,317,294,030,545,058,322,489,079,550,883,765,630,242,
942,253,989,552,094,886,509,837,868,314,629,419,868,347,311,712,597,262,259,
649,677,890,195,680,139,194,975,128,527,241,286,760,764,024,237,639,896,172,
339,658,521,231,121,558,834,844,938,708,277,707,427,943,107,011,652,926,319,
062,147,949,093,013,654,666,382,653,379,305,942,231,755,750,766,035,474,335,
977,228,048,639,577,596,238,959,815,912,050,796,786,176,104,143,984,202,488,
297,958,652,468,983,793,725,303,764,538,909,759,001,896,886,730,056,821,393,
648,027,517,427,479,040,980,740,220,777,123,570,543,032,363,676,775,474,447,
877,170,331,053,482,195,245,186,277,828,877,852,400,191,514,995,282,459,218,
974,942,133,981,603,763,644,004,175,215,324,900,320,028,014,616,472,759,017,
608,022,679,768,087,456,367,174,230,028,705,045,824,410,992,502,964,130,744,
097,499,232,148,411,178,487,766,082,856,644,585,988,314,820,346,104,403,208,
534,557,556,513,182,764,716,380,818,603,331,875,784,274,892,293,332,528,490,
878,115,122,953,563,439,198,999,029,995,511,034,406,743,524,111,250,494,731,
934,710,199,128,692,637,058,609,922,529,090,908,304,098,939,564,826,521,495,
230,982,791,550,855,810,421,816,570,411,323,467,357,294,058,392,371,039,160,
926,887,722,394,264,322,436,011,133,256,829,685,325,009,976,249,685,466,680,
548,431,666,501,203,824,597,615,219,023,645,779,991,382,995,003,582,537,029,
234,575,945,876,695,692,309,321,185,634,031,263,236,163,874,467,112,775,201,
245,258,073,763,529,999,773,419,447,205,567,576,850,419,607,101,837,931,494,
523,522,183,499,736,301,417,464,403,320,510,644,302,562,363,696,046,604,304,
271,236,118,371,871,203,492,030,731,872,964,601,923,518,212,051,153,118,605,
995,465,732,999,974,219,787,820,414,821,388,756,400,799,780,461,316,808,401,
342,241,055,379,501,976,808,242,687,621,376,406,269,318,153,364,670,712,261,
424,841,563,119,530,090,361,859,118,799,758,076,598,238,986,352,834,840,286,
167,477,150,551,064,730,570,176,868,666,057,931,672,825,845,038,537,243,178,
113,802,085,591,726,657,248,362,176,116,888,741,185,534,084,508,841,480,091,
422,395,905,624,073,193,816,258,825,711,582,029,506,092,970,615,622,020,725,
147,404,559,315,059,153,336,968,013,663,328,821,702,749,279,655,089,327,167,
630,092,208,382,800,642,610,378,175,631,395,580,083,622,125,885,251,391,863,
467,371,621,205,831,188,940,481,279,133,799,389,449,135,754,621,167,675,910,
888,992,243,157,714,719,104,418,520,639,486,558,782,412,005,070,619,031,150,
490,749,942,728,565,189,087,269,416,995,897,409,204,078,917,020,384,474,935,
036,794,578,247,549,372,751,629,559,923,347,296,681,482,606,756,725,502,062,
923,332,465,883,500,645,032,238,729,406,836,941,943,952,028,997,380,801,837,
157,727,678,568,226,828,206,794,838,868,670,162,407,667,487,551,808,308,091,
903,998,181,215,534,900,504,216,873,080,417,021,335,588,067,602,522,792,986,
195,730,060,153,806,472,444,554,520,819,848,741,599,088,983,023,431,223,540,
615,695,221,405,233,295,661,790,443,939,061,264,726,276,207,846,109,934,690,
082,534,753,968,807,400,573,148,253,224,773,515,877,705,341,939,615,014,597,
888,051,755,987,079,676,714,858,520,884,491,147,476,497,233,708,448,458,178,
006,264,132,074,394,800,544,638,915,275,445,088,262,904,264,823,609,776,865,
904,208,732,016,172,780,888,135,448,915,153,437,520,122,576,970,918,161,606,
269,332,031,408,815,167,107,948,042,927,719,775,562,290,059,864,178,349,894,
012,489,322,710,744,811,722,709,055,901,687,823,826,205,943,533,971,152,708,
204,249,552,606,706,018,754,397,032,180,248,531,159,377,206,890,849,566,859,
004,662,622,519,770,167,741,779,134,573,932,703,718,770,540,261,728,235,605,
585,602,016,448,403,571,607,753,842,487,401,519,728,461,937,159,747,006,633,
841,532,932,404,566,864,230,221,179,731,740,444,245,795,082,558,013,957,369,
398,147,400,990,532,494,965,819,218,113,650,927,271,169,135,304,474,354,688,
386,753,289,892,706,306,289,739,133,366,623,265,028,256,211,567,855,830,368,
551,711,824,599,885,006,358,024,672,970,849,792,162,923,097,214,829,050,019,
507,194,740,395,901,281,287,033,314,379,894,064,604,821,104,854,417,995,090,
972,072,177,467,180,670,312,477,507,931,544,437,906,813,434,287,012,993,613,
886,350,775,740,832,466,397,390,055,343,549,089,788,721,835,311,813,993,104,
808,296,683,671,790,414,693,271,249,319,819,161,700,811,445,679,163,041,210,
327,919,205,688,920,109,130,000,527,292,327,878,636,156,275,586,495,746,546,
121,490,576,301,280,644,402,062,997,684,391,282,074,150,630,417,301,866,021,
933,167,208,066,291,841,651,854,887,007,749,323,725,408,899,400,818,661,643,
445,773,127,008,764,505,505,891,664,071,045,989,845,942,480,074,866,885,936,
041,052,215,354,568,791,003,242,377,084,160,299,890,143,522,709,465,992,332,
332,078,835,084,897,719,075,202,664,662,258,534,418,216,482,675,787,567,959,
919,736,298,581,744,119,136,507,369,874,329,410,617,149,787,521,250,550,343,
544,465,076,551,384,356,435,738,545,409,013,981,905,154,356,435,174,963,012,
287,676,057,881,236,695,537,208,363,667,862,374,940,614,341,755,092,784,859,
005,204,813,668,884,753,591,689,549,694,132,769,619,489,143,874,478,352,124,
902,443,235,398,497,655,615,534,594,061,925,719,441,711,689,277,222,124,879,
832,220,879,113,709,567,754,275,130,344,566,211,535,660,422,359,584,398,803,
932,156,181,671,020,041,831,754,430,657,315,342,470,273,116,630,617,131,056,
392,050,700,674,698,846,976,867,794,498,224,285,445,412,443,345,682,759,436,
763,032,356,471,357,225,141,853,696,719,765,316,792,834,863,306,928,475,562,
435,411,310,823,592,489,025,307,351,874,288,060,641,943,790,913,514,614,987,
674,423,484,229,416,214,546,985,460,692,922,012,118,637,689,859,129,784,437,
318,764,431,720,520,936,132,270,839,253,462,908,352,098,409,822,154,016,725,
340,892,403,856,108,676,002,293,984,102,756,598,025,022,718,276,822,612,340,
421,741,463,770,900,614,224,434,177,990,877,715,004,467,745,332,708,288,369,
443,056,975,918,148,740,816,591,213,898,183,608,337,342,528,737,357,617,379,
440,510,709,809,651,884,648,273,660,645,736,352,145,903,459,590,394,156,039,
891,942,105,902,101,316,626,029,704,299,666,265,647,200,677,326,503,141,872,
926,859,066,995,989,482,965,689,954,880,120,137,246,381,691,421,425,498,225,
273,759,733,371,793,364,105,941,211,940,724,203,411,469,163,947,387,444,141,
775,082,457,513,991,478,477,471,616,542,677,274,315,777,571,496,901,309,585,
354,828,899,744,176,613,854,412,778,399,094,873,218,327,294,879,439,694,198,
929,388,081,754,920,196,294,081,108,410,480,732,115,457,301,170,389,935,663,
313,128,501,782,908,133,134,471,213,954,744,207,244,721,739,297,694,914,101,
013,711,087,759,257,336,883,673,613,314,647,704,314,046,862,458,066,707,542,
061,543,158,855,106,628,087,538,658,923,757,400,971,447,757,074,730,603,096,
399,863,366,356,317,876,514,987,968,737,683,438,297,818,270,257,719,220,446,
044,951,601,809,603,450,175,537,744,428,503,899,090,032,009,445,901,308,557,
194,959,822,039,578,727,385,931,101,417,904,838,371,561,348,928,547,875,068,
876,454,349,308,224,195,327,739,033,871,814,874,199,469,584,364,978,161,475,
913,833,290,395,336,644,201,748,254,410,295,041,455,922,233,202,669,396,656,
589,316,684,946,156,836,695,909,596,149,967,740,737,949,361,233,065,364,930,
049,653,070,283,347,083,979,223,114,301,819,242,715,913,754,688,000,284,988,
902,268,616,783,713,866,327,652,782,946,336,473,535,701,186,349,899,172,443,
835,965,185,508,531,594,398,660,579,712,520,189,927,643,885,542,642,550,729,
181,870,185,723,296,699,230,007,500,188,496,403,062,160,877,997,040,949,396,
003,003,122,354,700,167,940,647,154,372,128,115,628,734,570,237,486,156,081,
759,492,476,470,990,365,888,944,713,188,143,831,784,046,498,017,342,569,470,
767,859,045,259,029,605,787,959,260,289,459,055,184,312,511,146,950,646,342,
815,127,393,427,395,814,423,900,295,298,388,372,207,928,978,894,577,238,879,
797,707,568,912,501,785,903,180,436,086,276,275,776,853,122,838,319,058,944,
572,585,191,010,748,844,847,976,669,151,998,873,076,903,137,778,086,020,401,
265,542,532,076,270,951,802,087,754,237,429,263,805,968,809,651,858,229,035,
495,838,248,744,406,981,026,456,186,371,879,413,189,240,783,932,773,077,660,
942,470,568,939,500,179,595,195,176,541,356,408,427,122,692,597,391,994,070,
398,970,603,857,445,604,044,496,204,684,156,040,036,318,187,207,108,092,802,
286,786,736,461,196,622,438,726,175,995,130,042,124,553,377,262,044,216,044,
526,144,746,285,987,047,446,475,259,191,776,860,839,178,244,085,326,330,119,
563,986,507,136,246,530,837,516,688,273,767,529,282,889,444,758,503,714,868,
371,443,403,974,604,427,673,721,720,682,273,279,439,960,161,689,075,886,368,
920,357,025,542,399,229,882,107,727,636,079,616,779,492,079,438,993,709,197,
606,709,933,973,881,561,272,562,447,547,774,086,226,884,702,060,280,213,298,
388,104,837,541,198,836,337,163,213,761,569,267,277,835,236,388,713,840,555,
447,546,772,307,027,271,966,894,572,034,138,539,774,419,107,416,655,694,862,
252,257,893,024,027,500,347,744,622,146,903,788,248,307,212,298,737,033,697,
126,458,144,027,481,170,752,074,470,321,821,212,265,562,916,714,936,602,216,
080,944,589,896,530,970,158,614,049,451,008,700,242,931,782,736,530,888,837,
284,565,343,837,347,947,014,899,635,339,207,062,855,224,855,505,796,630,705,
689,398,873,544,603,057,754,675,968,953,190,995,630,410,056,911,668,045,234,
332,479,071,902,836,641,025,798,573,795,307,199,233,222,447,573,634,963,093,
014,781,035,615,704,648,325,178,843,633,911,404,453,896,793,751,123,781,248,
296,403,940,296,252,532,800,454,473,380,092,876,785,852,670,808,631,611,664,
553,377,790,570,150,224,316,682,896,676,922,357,629,811,990,480,740,430,884,
822,931,839,698,011,989,893,536,623,803,604,883,267,968,144,107,962,331,458,
346,168,029,592,370,579,749,038,723,992,462,045,153,281,124,895,825,622,390,
747,384,101,494,283,431,525,254,405,310,288,977,322,664,313,778,024,347,692,
010,937,701,015,785,005,507,314,777,987,060,401,189,936,357,340,098,136,345,
632,904,118,566,327,181,048,244,264,830,027,409,562,178,638,111,150,164,777,
781,521,826,189,622,838,337,042,169,081,375,422,962,727,152,534,389,648,981,
113,057,514,943,446,430,077,723,869,637,059,609,096,534,905,084,213,827,854,
212,108,561,248,573,610,636,448,040,600,473,973,014,688,174,271,118,576,489,
902,971,452,808,172,425,870,823,648,192,275,371,090,429,317,473,132,306,375,
416,135,236,555,647,064,263,126,972,234,171,288,900,900,001,991,129,948,500,
796,655,017,494,649,321,221,292,255,361,202,115,674,758,222,475,697,005,510,
099,355,914,472,460,477,890,122,568,785,425,896,231,215,420,249,170,043,003,
776,794,864,845,276,874,614,086,355,832,684,206,188,286,846,634,879,702,585,
225,538,050,917,901,727,141,871,421,936,934,591,642,535,659,153,305,535,802,
117,206,975,497,282,857,066,334,845,404,727,294,032,504,530,282,742,064,248,
274,805,478,629,028,032,512,102,726,910,097,458,371,812,202,892,291,417,391,
198,750,906,562,902,781,950,683,864,119,054,770,841,165,316,876,111,917,210,
487,578,268,694,343,529,854,182,341,773,268,430,900,015,641,463,203,346,528,
504,378,694,776,870,925,973,054,866,983,422,973,370,039,977,597,660,065,226,
303,418,288,888,392,896,215,603,463,440,427,736,402,235,270,209,874,035,984,
196,018,838,372,863,250,187,185,776,580,879,526,653,034,270,285,519,578,695,
743,504,389,436,299,260,032,383,849,986,234,907,108,709,166,579,126,244,887,
760,171,211,945,912,528,511,308,298,511,121,491,483,314,627,396,269,953,068,
934,875,134,195,232,819,281,340,131,658,315,474,190,763,865,924,876,669,278,
800,677,089,975,571,038,391,461,239,180,417,097,884,897,243,750,961,301,515,
864,620,973,612,211,733,217,814,564,336,164,089,090,899,364,953,581,730,432,
874,250,993,600,012,293,852,451,372,918,806,047,419,423,732,367,945,500,351,
778,907,234,154,854,318,331,714,362,072,261,434,207,792,796,961,884,291,314,
255,768,247,277,599,136,443,962,221,244,032,626,100,921,806,891,141,324,435,
623,487,930,966,415,832,083,108,384,605,777,974,696,172,304,754,214,254,306,
646,600,877,165,432,710,603,900,061,846,453,810,792,632,680,797,810,273,729,
637,840,400,773,838,616,472,300,812,097,876,132,031,647,893,157,630,751,658,
182,389,252,221,999,580,900,565,636,342,784,473,466,694,847,626,762,763,415,
641,672,806,623,542,414,023,866,259,991,396,932,144,454,048,392,450,960,209,
936,630,656,128,356,956,151,940,857,945,999,238,244,382,405,919,901,152,210,
182,687,016,521,261,080,531,673,731,073,847,701,478,679,106,802,811,516,605,
525,227,656,776,853,891,066,549,573,466,045,047,940,160,373,728,059,843,856,
508,554,017,406,128,664,163,183,638,215,334,963,137,518,372,647,942,002,286,
294,870,958,489,528,756,073,476,826,596,326,430,150,839,238,278,660,185,663,
101,163,451,693,144,777,254,464,135,139,935,354,882,149,278,634,140,569,436,
280,243,582,866,671,866,673,994,472,993,809,781,710,367,715,210,191,659,679,
614,361,483,045,413,353,594,017,406,126,099,233,718,986,706,463,830,608,974,
617,930,157,287,472,233,823,073,256,064,018,841,659,180,914,188,941,741,989,
219,404,673,373,221,408,627,296,558,171,793,041,688,728,722,844,247,719,190,
398,171,520,181,040,181,946,728,312,081,536,724,366,271,558,395,638,295,898,
536,836,011,492,301,134,434,674,821,061,905,448,754,990,981,612,876,722,164,
305,580,423,884,948,619,196,483,010,787,912,396,367,492,959,727,244,354,876,
510,013,680,452,501,418,634,739,629,096,926,691,853,624,987,179,627,207,647,
607,895,508,305,574,367,234,020,931,386,521,472,151,119,948,326,149,402,320,
121,437,018,491,617,887,198,336,968,816,719,497,871,395,459,512,185,790,971,
789,003,759,754,618,767,881,089,329,606,975,630,664,135,344,392,837,419,826,
219,235,921,690,097,199,688,016,938,369,924,253,080,666,478,696,882,145,829,
106,587,963,007,183,566,368,798,584,577,982,861,446,294,200,413,836,677,768,
208,846,776,990,198,071,435,665,641,812,824,907,003,679,233,704,845,382,731,
402,654,288,044,176,385,339,638,857,170,582,285,000,198,367,868,922,439,979,
671,250,681,117,834,816,148,054,555,339,885,050,296,944,618,217,318,650,578,
005,277,158,220,894,081,468,800,512,027,942,902,920,845,339,111,522,094,035,
427,649,970,346,880,105,376,380,616,103,817,645,796,023,856,669,439,981,589,
053,216,114,048,492,657,484,085,018,158,169,023,015,414,350,808,578,027,446,
412,209,735,916,581,997,775,980,482,267,217,539,875,894,207,294,550,590,732,
798,562,705,472,953,368,929,316,651,650,809,286,605,555,963,998,324,320,479,
183,420,734,303,028,992,421,682,141,079,181,280,891,976,097,530,428,408,375,
064,829,488,462,901,237,245,817,426,986,753,852,265,917,731,455,891,339,777,
460,660,125,106,559,393,336,917,884,824,008,260,266,268,999,053,421,638,226,
761,163,966,839,740,677,675,294,472,981,805,112,940,693,529,347,323,230,897,
602,934,551,042,351,723,620,340,009,736,535,089,362,121,105,802,746,060,242,
022,135,416,378,791,853,420,681,891,983,889,254,155,536,313,913,320,553,050,
241,829,397,993,897,000,261,280,236,665,311,636,895,338,667,621,730,030,451,
863,069,807,090,388,140,921,424,761,239,465,861,912,913,062,868,586,939,393,
811,915,710,858,522,399,094,128,310,887,290,929,683,482,293,126,970,824,975,
560,859,986,910,361,083,915,546,096,998,662,879,494,561,800,768,935,991,474,
194,594,583,093,879,892,628,058,141,395,789,862,723,565,674,370,496,303,113,
231,047,460,714,380,328,668,430,167,009,547,427,150,855,280,138,340,291,905,
500,055,035,581,625,323,229,333,583,171,714,079,739,148,079,252,336,597,729,
785,247,312,111,284,410,837,493,483,146,000,345,313,120,898,140,381,854,648,
606,539,125,867,190,495,385,815,267,434,016,887,970,294,242,866,467,941,265,
590,798,505,853,508,762,366,622,394,943,664,018,798,979,225,488,651,616,493,
052,672,242,934,872,028,354,524,845,295,634,512,948,223,476,209,628,340,579,
283,190,852,236,905,289,780,187,007,161,665,174,389,544,827,830,369,065,915,
784,947,823,926,447,021,765,963,187,293,862,545,349,792,150,796,644,765,256,
369,664,487,515,062,932,145,781,585,499,972,829,578,567,504,780,170,892,747,
428,035,856,108,778,058,711,718,186,604,409,230,925,823,526,632,623,283,572,
011,911,251,473,890,441,797,557,615,794,641,234,962,294,205,713,711,145,766,
654,092,110,697,948,829,770,599,088,179,159,933,422,071,268,119,804,395,967,
873,649,756,364,934,993,652,100,962,658,464,561,113,286,364,826,594,782,704,
719,776,683,156,214,818,643,305,021,015,403,538,846,364,300,374,549,221,285,
583,818,881,310,284,999,402,339,920,989,701,830,661,006,120,318,372,171,990,
014,573,525,535,368,701,728,530,161,489,068,410,333,516,286,791,262,012,463,
485,996,539,545,973,508,918,944,653,264,680,646,036,279,685,021,084,826,262,
265,698,117,351,713,097,596,099,369,996,035,326,187,839,332,728,208,126,887,
599,682,954,725,816,029,505,978,013,988,576,321,795,963,238,396,492,001,834,
674,240,771,438,282,416,218,383,213,127,361,885,832,671,772,031,076,570,712,
403,767,246,939,940,115,459,642,085,899,045,253,715,492,191,843,463,845,441,
072,088,910,112,424,333,603,607,751,352,896,750,276,647,045,111,177,729,950,
733,033,742,996,290,724,937,020,186,749,522,378,217,391,654,599,971,087,463,
707,287,943,556,521,108,080,532,663,938,421,997,882,955,700,147,814,710,134,
306,406,713,523,715,605,921,704,896,757,827,795,903,375,849,005,568,387,811,
084,584,255,665,002,263,662,429,478,907,229,099,509,450,628,514,723,612,766,
360,641,318,091,999,824,043,772,785,257,396,981,010,136,102,117,075,865,401,
573,442,710,806,486,625,387,043,323,642,565,847,015,431,088,875,009,688,771,
596,831,585,195,223,781,661,743,705,449,459,310,496,012,836,722,770,791,254,
166,976,248,057,696,749,427,463,366,730,947,056,498,307,235,691,182,868,823,
442,146,816,716,094,934,261,215,048,627,985,017,190,522,220,136,499,391,222,
949,636,120,915,966,486,826,039,405,361,930,623,023,961,388,307,901,469,333,
541,643,288,001,306,357,452,718,426,232,885,147,953,134,429,714,184,696,655,
804,057,064,301,270,514,612,897,875,339,322,196,896,585,316,436,223,943,117,
288,578,286,222,503,162,479,667,942,321,246,684,172,536,779,118,738,282,439,
040,831,294,208,010,443,066,039,690,176,072,247,907,575,281,080,818,944,933,
578,238,970,138,972,362,510,516,432,006,772,746,583,827,715,189,439,025,757,
448,221,622,655,828,929,239,976,023,101,222,440,177,891,029,399,488,764,655,
883,804,056,666,245,350,387,224,621,013,287,867,796,969,135,564,122,582,105,
377,431,389,139,351,266,475,192,333,339,555,972,652,177,430,048,585,061,551,
561,327,863,624,475,285,661,558,111,630,224,828,982,133,093,902,207,496,299,
043,713,145,277,026,059,404,022,781,812,225,913,559,931,880,241,302,247,911,
476,766,585,396,041,702,009,386,244,458,307,802,610,623,770,200,949,574,554,
257,163,776,837,465,611,796,686,015,771,101,930,081,718,948,336,608,350,628,
147,384,098,413,902,858,927,195,833,051,391,214,603,824,864,496,260,944,042,
669,195,647,424,546,997,648,264,464,748,136,037,887,669,297,862,156,040,202,
111,828,951,971,582,422,677,608,458,282,148,022,530,828,134,536,602,767,541,
220,210,194,335,030,576,347,944,219,284,377,786,039,718,880,483,710,699,382,
586,627,188,727,118,403,387,420,340,798,829,594,014,628,475,392,258,202,961,
320,483,148,984,301,413,315,407,372,987,523,409,912,674,644,232,214,687,854,
127,051,174,799,293,053,186,580,148,500,777,587,119,909,443,598,526,636,112,
509,916,075,898,227,073,361,980,020,199,398,347,051,672,325,528,153,765,788,
216,698,599,120,311,140,272,236,956,602,810,100,465,827,181,114,571,036,476,
348,110,235,438,126,370,145,080,352,174,801,890,508,750,797,176,009,552,823,
989,917,084,598,516,422,388,704,480,740,175,792,495,964,570,599,423,193,288,
957,298,761,691,766,966,434,956,861,512,325,313,753,734,826,292,184,214,500,
915,187,999,746,240,634,695,614,029,492,966,564,956,318,703,063,369,603,873,
037,698,837,834,649,118,444,756,105,924,502,415,775,980,392,829,140,161,796,
460,458,222,129,378,732,125,945,530,776,499,630,950,370,079,935,237,699,901,
521,657,138,027,700,009,530,760,723,696,965,063,464,543,966,286,277,778,482,
376,750,558,075,732,791,706,596,231,039,165,921,361,387,498,991,593,884,888,
031,053,785,263,280,853,092,748,827,053,117,848,730,796,145,809,732,047,021,
542,466,669,506,020,467,639,862,780,612,652,558,253,139,033,943,660,157,841,
869,652,795,554,893,848,843,998,212,359,445,847,083,493,329,520,574,038,721,
422,053,416,760,475,280,241,235,185,834,374,175,354,433,042,279,100,762,864,
530,212,405,269,330,205,506,363,241,090,030,166,871,523,752,592,859,682,615,
725,159,063,547,861,036,300,246,143,477,640,963,090,680,846,705,156,681,971,
922,767,029,811,056,677,005,900,545,859,080,700,797,556,225,150,962,648,973,
136,747,693,978,236,911,576,682,297,797,439,754,070,828,139,533,867,912,848,
598,489,671,826,535,422,289,355,761,702,569,904,896,172,619,552,285,130,909,
918,241,739,355,083,582,167,231,442,120,151,867,701,125,372,607,055,783,992,
350,181,599,553,120,289,281,233,842,337,898,602,673,155,036,143,444,207,383,
850,501,940,359,409,181,466,240,935,240,742,029,536,065,030,587,561,842,036,
062,461,030,459,413,577,984,690,206,270,576,621,291,904,660,843,795,581,143,
126,778,169,419,191,373,388,485,873,761,432,767,114,903,174,750,886,283,648,
508,915,500,395,899,571,428,627,741,681,315,428,815,771,559,657,749,092,502,
984,473,707,333,864,686,114,378,201,943,381,346,786,764,152,079,728,299,089,
686,424,097,811,734,370,549,206,531,105,444,757,733,290,389,592,266,275,351,
575,665,054,711,754,967,262,828,613,774,276,328,522,785,870,717,709,945,732,
968,032,705,395,110,249,039,664,580,417,117,576,116,964,973,349,626,263,392,
237,093,433,239,448,193,604,414,109,024,208,136,224,956,588,770,369,082,556,
027,807,896,640,721,282,072,512,308,537,612,136,464,812,259,902,173,755,075,
192,042,644,681,131,264,333,879,515,726,030,942,576,569,882,694,022,826,360,
996,372,828,776,778,307,279,164,539,193,161,638,948,634,834,153,037,057,718,
920,796,018,278,116,511,206,250,433,624,856,283,537,082,126,470,199,341,179,
621,752,149,353,961,732,127,597,004,427,971,669,297,727,075,071,648,158,909,
563,080,517,056,350,505,761,719,092,013,745,463,365,820,138,673,166,826,515,
845,226,218,084,536,908,309,114,960,779,429,745,608,541,383,703,798,735,420,
192,620,760,798,126,158,060,809,020,337,871,161,084,889,682,564,314,569,872,
613,305,666,350,970,386,397,676,151,507,969,306,819,472,956,117,684,031,072,
104,421,284,416,988,530,654,205,422,301,420,488,517,090,216,738,228,112,274,
225,043,803,751,319,816,542,572,937,087,618,380,700,288,164,242,740,515,299,
271,750,442,934,070,429,253,432,189,456,340,987,792,731,391,346,249,211,916,
277,815,577,397,508,586,092,179,306,154,913,526,779,853,757,812,839,602,036,
890,033,464,645,372,362,895,024,701,836,996,393,673,432,248,009,069,803,129,
073,754,424,345,957,058,631,537,376,826,221,350,229,714,912,388,807,360,359,
487,569,776,188,004,105,447,702,681,754,864,740,400,354,106,401,714,549,137,
569,469,378,957,549,263,538,543,200,733,819,180,589,323,534,186,235,351,572,
129,749,415,849,615,408,745,184,225,049,819,338,682,840,864,237,204,917,476,
729,866,942,050,187,050,153,756,527,343,260,424,249,450,306,612,723,555,162,
610,408,824,530,940,991,060,920,985,943,089,531,602,620,738,920,111,938,643,
672,247,708,216,021,599,228,819,062,519,538,671,878,562,543,378,237,698,655,
039,988,690,447,251,709,674,836,227,913,241,260,757,976,560,444,547,102,138,
775,683,787,490,999,218,719,539,503,758,372,337,473,409,463,132,056,215,395,
400,058,181,008,022,928,402,783,267,312,486,263,753,338,325,268,395,899,631,
453,841,834,288,764,366,867,601,663,435,937,503,863,982,987,989,944,701,438,
788,979,266,433,628,470,192,990,469,903,002,557,042,204,173,280,699,153,387,
685,821,350,182,974,318,691,310,649,827,070,181,448,215,322,005,891,870,129,
886,810,418,082,680,773,405,322,935,714,930,052,592,359,928,049,478,694,190,
396,499,944,571,655,873,729,722,889,191,698,738,418,323,233,116,550,686,286,
409,622,930,172,365,504,977,816,842,667,605,802,382,501,524,560,818,249,722,
363,869,901,374,530,347,206,388,523,219,155,298,509,813,597,316,113,389,679,
169,304,631,925,560,238,178,276,402,675,960,243,777,763,702,033,129,619,155,
970,091,290,086,752,232,757,332,421,608,638,754,091,560,181,402,766,548,789,
350,045,952,365,493,770,450,991,604,590,124,963,271,633,915,326,278,966,266,
740,125,375,349,652,417,103,876,742,847,137,263,717,901,918,995,713,711,805,
523,016,265,119,938,288,082,022,029,612,440,559,438,169,596,832,102,407,306,
466,259,066,109,409,223,203,517,341,390,430,702,866,015,920,398,390,678,937,
580,600,727,289,709,059,472,065,962,350,942,756,113,918,131,212,184,788,974,
206,096,958,619,559,453,400,042,651,164,828,187,770,514,359,920,022,721,695,
593,980,338,062,616,606,614,108,695,328,139,271,249,728,004,042,992,298,013,
364,855,612,396,564,772,596,424,394,129,524,256,190,696,053,912,841,225,093,
761,195,122,244,697,370,095,209,055,878,514,196,858,135,944,992,479,406,682,
279,649,320,651,540,892,997,792,078,963,972,936,936,280,914,352,852,708,269,
727,009,442,600,060,494,192,390,095,316,582,318,379,077,831,575,654,526,127,
451,826,844,340,006,193,892,384,061,168,429,286,053,700,299,464,277,439,761,
519,308,849,071,151,584,050,576,369,890,296,148,904,275,216,297,149,752,450,
116,936,716,768,576,952,096,321,663,708,148,838,426,043,210,959,486,055,017,
973,103,113,231,904,814,827,509,983,842,898,796,681,990,552,819,661,714,074,
031,647,837,300,915,537,223,849,389,519,948,108,255,956,821,652,848,261,293,
310,045,439,920,499,776,989,854,698,669,187,917,374,063,278,645,922,249,898,
171,760,380,181,494,585,258,701,827,256,575,215,598,718,562,750,838,431,275,
013,244,534,762,490,126,459,671,021,070,447,143,373,098,043,916,980,634,112,
694,036,713,534,559,204,514,170,101,336,880,177,769,006,500,377,550,183,147,
292,514,092,307,727,280,315,550,789,909,274,412,075,970,206,726,946,743,394,
908,404,706,857,527,925,403,175,835,263,494,140,714,400,583,105,930,443,978,
900,218,572,967,258,729,844,323,060,118,251,316,773,626,485,671,776,424,440,
614,135,549,027,872,068,225,758,059,302,780,977,752,844,254,814,730,230,820,
631,461,874,535,810,283,273,074,869,272,460,219,609,451,334,406,299,802,267,
300,955,916,233,712,892,080,265,970,741,343,027,810,071,198,343,349,067,269,
802,620,078,043,375,048,408,095,240,736,937,796,611,355,307,553,978,347,859,
099,931,638,630,385,859,448,390,835,620,277,152,598,454,360,649,040,676,270,
033,172,068,963,012,501,471,643,078,213,727,789,036,896,278,512,459,139,173,
994,278,212,108,875,677,750,357,373,788,957,536,883,132,659,276,666,149,064,
042,618,431,693,658,458,840,224,655,298,454,709,770,304,973,898,826,536,315,
565,783,504,558,644,399,365,954,561,753,284,569,873,432,405,364,386,134,524,
305,600,202,316,060,384,706,643,461,081,702,204,143,769,356,904,679,906,505,
387,208,107,561,512,795,587,913,590,802,335,743,087,470,594,469,200,543,728,
957,454,325,930,562,312,363,370,406,214,924,108,793,372,665,662,316,062,754,
818,330,073,708,853,111,650,310,935,641,209,510,889,060,453,725,492,361,816,
929,402,264,736,375,757,192,706,596,817,396,022,733,064,230,285,440,208,993,
506,573,676,799,812,876,241,457,679,149,313,616,739,512,788,815,736,908,593,
807,068,610,995,828,567,678,195,298,519,814,859,804,270,549,613,387,649,885,
698,322,945,120,845,048,371,167,170,533,790,943,068,181,016,891,887,546,798,
104,176,987,682,757,089,544,546,427,890,037,792,053,321,158,139,222,935,135,
021,502,792,588,904,478,124,196,929,465,307,771,204,310,693,828,685,071,975,
797,708,440,762,429,027,779,319,300,465,378,392,606,357,827,388,751,830,099,
055,369,413,897,339,754,297,056,474,877,040,666,396,523,408,055,627,310,481,
268,796,486,466,705,424,968,095,313,196,193,630,346,906,614,598,968,032,384,
405,895,550,598,916,098,109,073,254,607,144,650,915,465,563,724,372,466,169,
291,255,828,113,149,651,966,714,312,665,753,026,821,792,550,747,871,646,098,
494,061,085,901,670,543,243,722,265,531,525,174,017,490,458,707,972,360,325,
296,005,846,587,548,388,397,951,853,921,955,814,920,261,709,110,488,772,965,
474,515,693,318,777,524,862,249,476,444,368,833,069,219,452,461,318,881,905,
295,615,955,610,657,794,011,996,775,195,363,198,864,208,854,292,491,434,488,
943,402,233,904,434,950,207,234,875,468,552,882,511,275,364,950,443,757,660,
039,985,906,937,033,771,697,469,422,787,012,280,603,736,151,534,584,035,072,
626,730,425,557,080,798,938,061,640,807,414,313,467,147,636,749,136,911,848,
529,274,568,459,346,505,163,760,227,565,215,678,005,864,798,829,886,610,777,
068,887,531,325,380,453,095,488,961,229,343,008,349,655,490,604,016,608,099,
424,375,493,743,297,832,727,110,175,760,131,894,448,299,449,045,549,146,128,
050,005,725,490,182,769,867,571,595,902,679,210,623,236,641,565,175,387,094,
397,240,326,076,402,174,283,010,440,214,896,472,578,425,077,588,146,681,016,
362,267,150,245,950,398,346,369,419,172,349,577,460,660,120,504,633,807,007,
681,149,608,068,545,125,072,341,946,444,636,806,099,286,556,457,384,284,953,
977,647,266,071,136,619,871,501,952,236,031,765,899,544,434,039,181,338,332,
649,420,663,030,152,845,404,281,050,621,579,284,546,151,985,030,912,018,382,
235,457,612,645,230,589,337,889,318,054,600,380,001,453,271,058,404,256,375,
759,921,606,243,983,165,943,266,066,494,382,256,332,732,683,008,752,314,466,
337,781,981,263,979,342,822,366,669,787,720,796,525,256,823,366,223,933,920,
542,182,100,245,488,970,942,522,329,337,611,584,113,980,452,885,325,402,377,
062,237,901,804,716,406,262,005,120,368,821,497,637,778,493,105,354,889,544,
027,289,588,874,231,655,276,926,013,243,121,391,220,467,190,375,398,993,356,
565,028,711,049,385,374,622,515,690,897,444,421,899,489,969,980,070,121,294,
889,675,691,465,420,292,304,249,704,735,540,102,993,035,998,993,595,391,898,
963,984,665,657,023,423,050,710,001,178,596,631,162,831,582,602,254,726,341,
302,283,026,112,045,041,386,728,104,090,811,620,895,776,024,482,639,133,943,
319,628,780,468,123,460,732,602,464,191,631,484,312,961,752,036,546,113,276,
779,003,446,047,112,576,397,438,900,070,763,386,305,118,739,746,293,634,068,
618,788,571,941,946,771,406,142,963,179,480,132,549,090,818,713,282,755,767,
016,425,717,216,126,336,092,634,249,078,918,533,280,844,009,770,043,874,176,
996,859,707,813,912,214,201,373,704,399,102,576,603,070,789,751,059,134,459,
079,427,415,402,751,539,437,180,036,985,617,819,069,918,614,811,103,578,777,
914,953,996,242,906,537,689,397,238,430,122,049,915,199,493,678,103,288,693,
581,079,161,123,018,415,378,877,342,314,323,806,208,963,006,768,031,141,325,
791,101,481,100,743,565,960,423,406,304,852,280,463,385,635,832,903,576,430,
137,963,435,678,595,335,316,065,681,091,415,787,799,252,805,853,655,488,996,
336,746,028,016,747,487,689,182,943,035,611,079,627,571,169,996,251,609,093,
485,093,843,292,571,658,185,510,640,328,073,592,773,437,173,590,933,117,537,
559,934,618,207,386,019,888,619,565,666,663,002,887,996,203,311,886,850,935,
142,418,367,423,144,878,562,610,130,776,928,699,520,757,336,057,411,933,508,
418,547,120,756,716,855,018,756,506,391,479,989,945,810,949,483,791,682,724,
371,650,634,082,953,178,450,222,556,176,073,027,064,354,998,290,954,637,746,
288,480,013,646,631,377,561,175,593,246,834,465,880,922,421,174,826,127,831,
440,162,900,955,870,308,373,096,420,264,463,201,844,833,106,157,665,243,117,
879,823,042,819,462,330,233,120,575,272,121,777,952,257,445,549,072,716,213,
400,361,820,649,172,042,935,000,360,915,996,213,964,014,811,582,196,509,844,
350,139,062,724,190,791,738,725,173,506,410,819,494,234,119,591,395,902,995,
567,570,120,976,297,113,314,365,898,473,433,533,511,285,969,557,154,996,639,
194,374,480,492,759,196,417,224,452,187,462,474,604,386,293,454,393,688,042,
512,781,650,589,104,941,987,718,907,199,683,487,269,826,642,469,674,132,287,
569,526,627,024,359,502,855,523,775,718,294,717,395,809,367,012,584,355,052,
577,771,668,107,543,450,538,774,214,752,907,464,420,889,465,489,219,630,673,
285,647,915,284,394,044,101,351,475,555,251,967,530,706,685,981,899,625,652,
546,327,210,232,972,734,593,182,688,107,720,824,216,038,298,693,797,564,686,
703,992,106,584,983,578,829,753,828,473,456,782,895,646,609,010,188,571,324,
458,873,161,276,804,024,917,787,292,145,790,523,013,741,889,277,876,853,015,
179,775,480,357,545,964,940,398,590,230,775,578,161,060,352,092,553,973,038,
300,255,477,238,266,132,184,699,901,786,778,330,340,935,601,564,038,568,551,
759,703,112,555,697,132,135,589,692,951,469,156,131,673,048,483,063,927,864,
451,891,687,276,465,886,517,202,395,833,967,087,999,476,722,620,104,314,664,
512,205,098,810,472,259,280,872,979,930,539,743,704,017,351,713,998,296,783,
889,310,480,375,931,328,435,337,848,013,208,374,588,015,971,839,295,277,902,
827,975,929,119,978,667,238,910,204,222,962,734,321,999,804,739,048,381,065,
176,058,924,732,238,538,814,424,860,682,132,663,487,304,140,554,517,925,031,
714,190,916,158,706,082,127,278,151,194,256,300,567,999,804,275,215,018,241,
776,707,596,920,214,615,868,188,896,648,657,672,588,031,431,770,615,667,034,
449,574,554,523,763,278,020,506,837,052,758,684,346,405,886,912,172,884,773,
507,378,852,008,156,918,809,607,441,148,820,830,111,557,036,508,482,335,576,
011,632,199,849,950,216,266,827,987,463,377,934,876,466,410,647,577,547,093,
641,586,118,620,408,889,245,992,008,084,616,383,874,704,728,034,313,696,001,
031,485,577,430,195,869,165,373,130,796,725,491,831,530,671,229,006,434,717,
946,244,066,826,583,995,779,151,660,016,119,770,694,962,930,298,639,209,846,
478,462,424,348,642,758,642,873,821,372,970,819,214,322,091,127,406,939,627,
148,940,342,766,858,863,816,360,328,764,200,756,119,662,769,868,110,308,184,
757,872,373,285,548,831,416,493,963,890,380,794,076,062,913,576,278,719,050,
391,227,724,832,471,661,485,870,270,767,880,148,548,886,530,276,622,233,270,
589,303,940,175,259,522,057,869,619,651,033,604,255,380,505,993,643,616,055,
678,392,892,803,192,008,606,346,768,931,372,192,243,470,809,014,038,692,376,
035,894,257,247,886,544,253,777,425,610,428,031,370,836,215,496,545,633,173,
617,915,467,942,548,011,189,992,380,083,645,801,692,736,087,551,019,564,513,
478,384,331,911,534,151,212,323,084,894,065,532,737,375,783,430,645,547,781,
675,009,301,247,226,951,932,755,254,523,264,881,703,374,293,707,547,960,533,
594,869,394,201,928,438,676,657,109,124,214,820,545,756,829,477,232,643,567,
773,618,800,324,102,078,254,215,460,439,861,210,148,160,638,260,557,581,897,
812,060,501,009,929,724,112,694,759,650,175,078,850,448,349,713,923,916,974,
764,257,900,294,651,471,356,054,503,940,245,085,977,694,582,305,370,634,087,
674,141,739,266,781,016,876,814,783,027,068,432,789,664,122,178,569,625,990,
736,841,092,081,344,641,147,516,805,823,632,360,660,592,282,561,181,441,201,
494,426,979,895,052,135,982,957,993,404,207,675,720,551,673,949,119,406,825,
052,139,958,432,029,934,366,834,898,868,515,401,164,161,110,706,657,360,884,
393,914,514,885,826,590,017,825,442,109,728,892,713,533,233,080,672,373,365,
262,295,510,779,248,524,748,500,548,077,868,938,945,507,646,998,074,414,452,
652,757,097,935,177,432,031,551,861,753,012,615,328,732,572,484,608,543,709,
286,072,444,928,561,326,064,464,187,329,644,376,934,856,666,290,402,696,691,
340,372,861,153,888,712,027,034,135,406,588,446,838,129,257,678,181,744,367,
714,689,330,695,058,501,863,166,272,794,162,157,634,269,416,220,825,959,159,
630,336,905,084,493,195,042,735,638,765,300,078,800,223,819,374,276,661,457,
174,698,265,350,542,170,578,468,227,741,220,960,217,434,497,747,440,371,674,
521,008,195,817,603,854,377,612,416,364,863,649,444,970,728,723,592,520,857,
324,202,561,314,686,590,181,597,015,318,242,500,501,612,359,386,541,222,135,
884,598,913,712,782,213,333,077,982,514,360,630,714,501,461,252,715,365,596,
696,692,627,736,490,234,598,678,908,324,536,194,990,107,288,589,637,191,826,
967,358,112,896,704,973,452,580,772,375,302,704,226,594,345,483,362,006,312,
978,867,070,311,839,401,641,596,055,610,166,166,818,936,637,512,227,594,426,
222,702,366,021,389,567,509,799,366,523,551,099,029,325,264,442,380,405,513,
206,285,074,781,721,585,844,550,078,719,724,416,470,809,841,326,040,859,536,
209,951,653,842,734,730,320,181,388,504,098,685,660,186,144,287,342,769,997,
009,725,839,602,903,425,197,864,678,500,353,912,785,603,232,099,801,133,302,
926,495,096,038,038,966,889,492,245,131,333,913,465,394,004,414,593,386,769,
058,189,992,975,134,224,583,148,662,971,476,178,646,821,881,296,518,164,780,
265,796,300,116,307,625,813,383,825,562,759,701,237,955,809,927,964,235,510,
880,552,403,886,290,010,542,154,753,343,831,256,256,897,190,226,727,486,580,
547,424,444,706,528,116,168,727,765,050,627,388,069,706,586,482,141,456,259,
552,802,252,647,179,587,811,101,020,609,713,418,664,234,756,823,286,589,641,
128,252,629,659,948,418,440,570,606,942,792,275,973,315,433,316,992,611,716,
865,065,371,377,586,638,796,950,037,278,517,985,591,330,117,446,013,551,273,
409,314,789,014,348,979,348,503,102,424,455,099,297,666,296,948,970,589,259,
772,809,828,929,444,243,947,011,736,482,391,488,630,087,892,466,242,657,404,
463,615,174,039,499,344,879,622,947,129,041,437,780,413,690,415,861,571,401,
335,512,943,331,583,967,787,234,050,480,124,686,794,800,338,305,582,175,439,
812,862,146,188,410,925,907,307,474,144,530,963,183,683,689,477,173,938,528,
645,920,839,543,298,209,402,252,334,137,278,482,817,249,821,074,138,163,181,
984,247,267,152,485,222,476,562,268,713,194,009,438,061,730,803,055,549,482,
073,606,117,523,263,380,813,504,129,116,332,620,904,110,493,489,680,964,391,
587,329,917,138,794,023,498,036,965,743,013,522,607,354,067,103,769,150,404,
073,154,436,625,936,361,385,733,557,831,299,020,489,468,040,930,483,490,931,
004,073,236,825,231,355,605,023,796,566,269,146,325,186,424,926,454,244,226,
255,537,414,912,886,283,770,166,719,683,872,798,704,867,614,576,919,020,248,
332,413,935,003,993,291,991,977,547,226,156,087,254,389,054,579,729,910,043,
800,570,648,888,818,025,386,453,023,393,548,036,327,738,736,593,263,028,499,
817,671,464,962,599,974,931,383,773,545,963,113,804,430,617,015,880,294,227,
749,031,899,202,352,554,270,167,197,335,312,824,462,059,082,384,910,548,672,
523,898,151,407,601,284,433,167,781,227,983,865,425,817,487,904,947,795,824,
644,087,816,319,729,517,684,590,980,348,771,854,708,607,316,940,957,370,065,
011,301,509,192,778,114,780,088,079,662,171,362,621,076,769,391,721,843,787,
452,803,567,733,430,625,224,330,463,818,045,191,479,616,694,586,877,344,684,
778,603,125,015,161,598,682,303,146,496,159,699,652,253,854,152,659,472,112,
523,868,325,008,158,381,377,514,466,020,489,243,216,828,232,118,199,313,022,
265,663,064,486,236,335,814,097,227,607,091,906,420,993,975,182,235,416,381,
169,776,065,760,043,341,319,055,489,343,233,239,573,012,676,961,068,093,795,
482,648,442,672,668,758,803,091,305,940,768,243,905,358,256,694,650,124,172,
130,561,315,210,097,674,720,062,169,758,210,903,393,248,375,081,495,079,181,
998,197,258,878,774,901,097,746,921,544,087,907,719,347,866,352,420,172,005,
433,988,877,599,017,548,790,950,240,785,735,258,501,443,961,978,718,047,651,
004,407,057,467,382,413,905,738,460,326,728,625,737,020,972,584,880,035,845,
306,723,322,307,342,507,463,293,065,015,305,975,524,423,340,875,908,014,043,
568,819,827,281,340,310,073,236,921,997,931,876,961,923,781,573,414,440,854,
515,470,186,957,992,082,459,110,952,796,693,780,830,283,883,303,810,144,469,
958,974,394,483,749,150,503,448,901,721,481,377,606,981,604,328,726,166,070,
238,157,619,109,530,854,491,615,632,702,091,712,330,039,982,102,848,305,461,
549,159,573,288,638,683,191,310,104,487,118,876,872,638,507,813,055,289,166,
382,897,485,890,820,495,230,106,482,875,185,467,155,865,723,152,064,113,492,
464,824,305,961,629,731,101,911,087,242,568,056,432,107,226,184,650,572,786,
638,640,858,588,903,424,166,585,513,041,416,551,811,876,349,375,218,100,995,
748,554,416,726,908,397,411,972,856,230,555,725,292,607,989,900,573,004,675,
041,566,441,784,412,888,417,369,405,087,083,020,474,500,921,907,923,156,539,
790,579,410,936,774,449,856,779,379,090,851,001,054,298,807,072,621,257,594,
585,062,969,310,503,365,077,797,503,204,790,042,000,442,914,599,683,196,749,
072,314,607,841,469,183,783,004,068,549,530,778,454,282,639,243,217,615,818,
233,527,137,285,371,291,352,744,677,799,393,397,165,002,514,261,282,655,269,
004,900,267,023,044,563,023,894,965,143,076,821,778,040,542,068,555,082,840,
636,285,150,063,996,983,350,329,094,772,946,643,937,288,783,053,708,076,993,
067,144,711,839,471,981,236,461,065,828,881,930,653,112,757,861,717,709,002,
057,425,217,286,705,691,635,364,903,972,723,603,995,329,524,121,332,868,937,
215,549,587,292,357,350,320,190,119,261,000,489,423,041,524,475,571,292,046,
746,054,297,843,829,215,251,962,783,114,762,691,875,048,230,357,335,398,815,
827,305,359,191,436,563,492,124,013,561,280,282,519,811,876,169,010,292,277,
814,358,424,007,831,296,688,572,094,373,200,151,673,474,278,082,915,473,135,
594,374,075,115,628,255,666,980,708,567,377,762,376,257,206,195,322,131,210,
208,762,466,024,466,545,437,382,864,339,068,814,683,315,136,600,099,043,106,
834,863,572,641,679,604,780,605,101,644,528,077,005,541,972,220,390,974,193,
572,601,373,287,777,354,065,463,518,918,401,948,907,954,595,421,830,466,711,
788,649,870,335,517,457,371,519,512,614,781,204,702,512,815,883,633,787,428,
937,477,870,466,226,883,502,050,702,053,867,637,046,882,570,031,421,780,631,
197,607,540,170,508,189,168,552,860,687,291,023,153,207,850,950,726,502,557,
028,850,984,553,829,384,252,577,667,036,564,619,897,231,976,269,672,049,079,
540,675,081,166,885,638,292,782,439,548,050,388,105,731,020,700,197,071,817,
178,552,097,728,132,936,721,455,091,199,506,735,042,466,783,877,288,314,267,
776,844,116,050,785,103,467,543,964,114,623,252,086,304,605,745,103,382,291,
048,719,838,876,829,153,769,517,413,388,847,130,532,307,881,604,605,921,477,
359,674,934,666,748,220,915,725,083,933,837,026,150,612,400,548,255,600,127,
911,419,460,739,396,202,258,973,005,878,066,173,276,597,734,609,144,200,865,
995,615,512,395,345,121,885,983,880,062,347,021,885,759,286,558,478,944,316,
730,069,583,640,713,903,686,125,551,111,579,997,136,759,113,916,204,414,847,
467,084,460,480,107,557,498,641,088,956,644,598,188,093,458,047,261,779,641,
673,944,973,420,201,295,134,990,393,084,876,830,364,191,269,385,455,454,822,
990,300,406,123,656,201,962,955,469,863,381,983,467,655,476,445,589,494,511,
544,692,444,492,090,758,450,961,397,676,566,043,973,311,023,031,630,392,602,
625,488,578,676,482,834,203,419,544,351,653,982,515,629,384,574,634,562,946,
466,926,013,714,071,636,138,283,872,586,217,125,885,715,887,858,231,623,424,
071,238,193,096,345,444,824,723,777,637,035,170,098,542,207,082,655,204,842,
854,589,402,991,965,600,135,520,477,382,574,739,860,633,027,478,973,953,238,
523,047,652,490,166,269,058,282,895,753,479,347,295,780,744,345,301,019,252,
938,915,957,093,796,613,074,351,126,559,402,947,889,952,999,391,617,715,579,
013,690,461,876,927,640,020,751,682,854,872,578,830,833,985,469,551,450,004,
908,404,841,452,547,855,138,245,529,336,925,812,931,500,115,244,975,062,481,
871,014,807,987,143,071,151,167,992,215,764,111,977,660,526,681,283,578,506,
724,947,413,178,451,804,558,623,269,261,338,338,082,664,667,175,402,014,934,
411,913,918,235,680,087,472,662,761,352,698,690,081,139,341,472,816,199,758,
138,140,393,954,964,981,769,583,723,856,310,065,478,169,000,817,755,751,014,
036,197,405,806,436,131,632,260,719,041,397,585,228,367,482,799,684,846,129,
801,021,924,150,167,906,736,885,066,035,133,294,512,320,855,635,124,927,622,
387,871,239,415,890,912,994,909,219,586,292,797,768,451,676,344,121,673,419,
813,211,950,975,987,538,811,896,776,503,782,264,942,151,762,585,933,617,225,
107,853,461,177,192,919,751,223,059,281,054,218,666,053,913,321,636,159,443,
559,422,611,740,318,470,713,053,594,415,401,033,369,670,670,799,319,781,015,
731,370,581,079,062,246,734,274,565,586,155,787,781,411,539,344,775,522,204,
846,173,496,795,448,589,676,163,230,784,447,635,499,740,889,133,893,449,943,
027,108,040,569,453,938,566,739,935,816,331,512,472,347,769,604,070,905,200,
140,631,647,323,660,877,964,739,688,874,937,899,454,835,454,191,456,667,092,
586,563,196,051,082,286,890,898,701,692,586,377,882,492,888,213,993,976,182,
143,736,173,048,193,946,275,290,149,785,044,893,404,842,524,278,102,527,086,
590,771,027,075,917,192,598,033,403,253,561,764,284,081,272,104,008,787,755,
224,155,501,201,673,738,704,933,589,089,595,590,208,280,674,865,448,429,426,
365,859,828,534,967,700,668,806,297,860,397,763,286,983,118,187,404,635,429,
087,169,448,724,425,260,790,493,650,745,990,905,756,929,162,904,270,098,027,
932,424,857,794,655,329,432,351,919,929,483,948,313,052,829,354,982,826,827,
412,429,024,546,435,791,978,500,304,135,653,651,238,591,523,558,918,198,159,
165,904,005,241,645,042,976,115,319,285,531,139,032,570,745,391,840,748,882,
355,573,024,740,176,504,714,926,557,783,486,760,383,080,756,618,234,793,670,
493,479,791,351,391,191,400,472,545,081,768,798,790,537,830,786,701,257,232,
294,262,455,630,861,716,036,656,008,206,531,719,284,289,123,646,407,346,534,
487,044,038,024,773,497,124,958,162,359,221,522,567,860,581,888,830,271,817,
007,021,308,332,910,901,214,740,316,826,896,191,893,378,725,086,320,286,482,
104,902,298,831,857,318,416,505,105,221,137,455,024,009,164,101,254,864,302,
828,458,620,626,422,536,185,640,684,280,997,736,099,562,723,884,766,882,426,
124,729,878,164,232,411,332,753,908,444,290,937,962,565,344,814,427,439,082,
380,341,174,919,049,734,924,544,778,712,238,180,863,323,736,875,900,209,691,
376,668,087,186,223,830,171,891,498,883,786,363,946,193,400,679,480,825,309,
817,820,974,469,795,789,698,061,930,146,539,222,328,581,382,013,923,403,738,
023,263,998,105,789,066,700,604,519,817,681,535,264,864,611,585,571,755,905,
721,398,949,315,364,833,559,241,647,728,846,034,887,225,369,356,564,834,774,
799,093,841,494,954,285,003,319,759,802,220,289,495,401,552,423,459,236,016,
541,124,581,780,986,298,627,053,797,977,631,844,520,440,296,318,836,697,463,
630,359,572,223,244,919,864,108,317,468,557,605,336,138,282,860,338,517,222,
568,991,635,751,477,166,916,004,373,698,029,302,694,512,243,031,024,116,974,
760,749,878,568,360,688,398,969,807,390,537,822,756,478,589,248,544,587,386,
206,358,140,643,260,882,916,889,380,493,632,884,270,016,507,802,558,252,454,
188,638,955,572,988,984,209,301,720,453,526,781,084,786,750,552,651,434,469,
174,647,591,015,208,813,327,871,174,396,193,868,160,640,656,385,254,652,037,
540,584,823,775,607,294,106,770,124,114,968,564,195,779,406,862,901,548,877,
126,942,908,963,492,012,370,711,994,595,403,248,408,462,780,599,380,647,908,
556,213,881,783,022,774,941,608,247,897,452,841,502,223,328,916,178,657,428,
763,532,350,170,072,238,119,856,636,500,611,295,478,497,749,147,748,212,275,
906,845,747,582,486,220,284,936,062,283,857,440,515,717,295,582,529,292,496,
103,795,080,875,193,379,600,641,982,849,554,712,582,229,721,757,868,898,993,
873,168,619,061,555,698,790,509,644,343,870,162,978,461,593,087,786,538,144,
289,208,466,248,529,219,292,248,380,766,743,124,096,092,728,374,654,919,074,
520,334,137,759,999,401,582,078,291,757,238,999,080,151,761,410,970,735,465,
112,131,308,995,063,213,094,472,909,340,624,107,600,415,078,711,429,010,198,
311,548,981,675,713,582,348,856,885,701,997,250,675,030,368,302,094,064,829,
738,831,644,191,455,238,422,374,073,748,446,913,241,546,495,491,283,436,278,
747,146,257,818,967,295,170,377,269,323,195,563,777,378,548,122,169,924,280,
475,646,131,684,559,244,223,564,634,450,388,176,110,099,933,795,012,040,546,
264,453,368,122,543,502,792,755,803,164,138,616,361,351,932,806,883,515,677,
734,212,817,370,637,206,157,408,066,080,278,222,185,646,716,285,881,026,935,
732,152,543,219,556,743,949,851,042,003,834,891,723,178,085,459,019,725,255,
481,049,785,147,953,475,917,337,653,513,055,082,671,378,819,326,686,416,179,
390,450,475,778,633,745,126,013,550,978,791,369,720,379,455,972,291,926,980,
637,093,922,801,630,825,189,392,612,341,259,903,059,387,243,907,126,883,591,
866,439,288,964,276,379,325,502,985,712,927,634,278,066,112,893,783,609,781,
535,674,229,959,389,597,218,987,495,179,337,196,201,535,881,100,130,661,603,
115,475,656,545,661,792,831,688,911,420,567,744,402,376,893,388,649,290,240,
680,490,753,788,361,469,142,895,884,924,477,098,814,611,267,783,415,312,273,
643,166,561,110,727,889,643,423,527,128,769,599,500,603,303,991,696,646,595,
823,085,565,826,263,000,622,219,819,226,815,524,608,666,961,184,738,435,229,
605,037,039,738,313,960,452,475,879,241,830,166,603,939,304,029,088,833,637,
247,059,375,874,480,543,679,456,351,196,336,416,158,962,543,253,375,821,856,
851,269,163,466,042,338,672,699,899,947,400,703,484,308,214,264,144,804,453,
856,301,739,473,519,445,490,800,967,004,963,306,474,811,813,883,625,031,614,
784,513,906,172,613,434,440,695,857,493,616,387,068,822,359,706,914,653,370,
563,252,629,156,099,759,863,967,959,642,386,990,942,344,968,190,310,955,574,
130,362,934,261,560,314,074,149,446,812,181,776,345,515,437,945,139,520,515,
771,048,454,453,595,097,116,384,512,367,148,311,601,162,513,722,134,046,674,
241,607,072,219,220,531,058,851,830,862,697,781,409,917,776,024,097,375,225,
304,777,930,868,938,374,002,487,010,962,762,884,462,149,870,839,164,918,097,
184,389,051,183,501,705,629,647,430,937,137,803,418,770,238,064,040,929,414,
967,451,022,598,748,688,257,575,843,644,296,679,559,253,484,015,169,234,469,
130,031,702,744,825,354,167,576,522,550,157,832,687,841,160,423,724,087,823,
814,369,447,701,410,706,839,776,170,591,859,933,266,109,348,034,135,097,962,
576,441,958,794,233,619,532,062,473,334,378,596,436,171,258,608,313,626,732,
299,410,851,226,051,278,074,209,590,805,588,499,749,804,385,129,805,643,651,
063,850,114,514,308,362,103,072,520,687,831,265,530,191,594,920,513,008,323,
969,560,355,867,641,592,642,103,529,849,460,828,318,310,273,761,998,117,051,
416,133,860,881,873,391,213,268,218,453,440,772,360,498,942,499,876,685,123,
217,726,653,784,929,183,103,598,257,711,361,508,945,407,975,986,638,265,509,
202,760,231,207,151,768,541,559,533,594,232,894,803,958,069,626,578,767,698,
608,418,460,713,102,304,051,430,815,509,222,704,112,985,448,225,788,271,080,
791,313,049,884,451,284,027,895,715,358,088,608,975,305,631,196,829,010,655,
760,511,893,586,435,142,101,689,937,193,470,815,703,855,773,531,175,648,730,
948,847,016,685,834,770,670,343,280,661,612,044,863,822,162,443,446,750,837,
780,703,223,211,474,724,976,071,716,786,373,059,539,224,207,086,571,992,098,
411,231,533,671,103,119,870,835,368,001,122,816,416,389,625,262,899,799,423,
930,427,600,072,840,131,043,502,235,533,377,245,547,207,291,044,937,783,528,
361,816,090,362,541,929,490,830,419,172,308,775,752,841,130,526,422,661,312,
376,195,461,437,688,723,250,764,717,986,271,197,503,203,924,559,053,072,175,
186,248,332,693,925,670,297,141,416,914,792,902,183,516,041,708,272,008,553,
128,493,231,879,091,837,611,477,365,787,660,193,648,707,718,919,848,298,594,
441,697,296,855,762,162,899,153,184,403,623,090,174,673,321,361,452,385,879,
321,001,628,611,803,228,980,673,133,893,370,494,226,702,248,045,927,161,571,
623,467,123,254,409,625,842,373,366,548,996,631,510,096,810,127,771,825,731,
692,333,506,401,066,159,417,811,242,712,077,591,880,951,008,455,538,968,523,
630,335,297,480,680,696,318,406,651,241,797,079,943,804,275,165,992,654,230,
593,524,235,214,221,744,140,798,546,970,476,018,883,862,412,673,791,707,333,
947,393,147,493,842,285,432,038,587,724,640,566,504,180,058,139,216,078,765,
079,208,649,020,714,849,738,765,430,437,056,725,877,236,627,936,715,269,871,
751,621,368,697,122,285,609,027,305,287,915,231,776,149,017,286,721,683,395,
858,789,050,041,942,128,892,411,069,583,709,511,825,293,796,227,036,060,905,
536,503,766,491,279,822,492,305,240,729,793,999,620,314,172,898,736,807,935,
744,503,632,640,842,195,711,835,964,231,953,953,088,451,470,150,673,253,145,
295,959,522,350,817,406,875,459,156,827,201,110,293,816,107,071,451,045,433,
199,320,561,080,224,903,184,198,366,464,999,917,523,631,611,119,450,480,803,
366,737,715,642,020,684,351,280,237,367,477,665,242,862,287,621,828,630,270,
611,199,727,794,820,677,482,926,505,020,590,590,404,303,973,335,399,025,032,
333,586,906,742,396,901,885,577,666,885,311,813,873,867,876,705,076,417,551,
236,207,742,993,570,823,971,734,764,936,352,712,371,498,103,655,107,963,345,
958,062,390,514,394,490,903,431,859,397,246,317,695,024,466,937,117,425,071,
254,610,292,579,995,450,199,303,540,715,606,034,406,770,385,172,864,293,895,
151,404,759,249,726,097,433,691,505,069,064,812,372,364,361,986,596,025,993,
468,952,712,298,972,446,035,872,489,900,546,864,507,668,220,068,287,974,797,
506,886,698,009,355,953,660,310,233,270,434,163,535,374,505,726,588,356,674,
391,117,908,949,583,545,542,471,437,492,323,176,945,794,464,665,278,745,310,
886,314,958,762,186,259,784,435,984,520,972,065,927,101,043,721,370,081,787,
201,055,185,737,551,850,986,860,530,069,573,390,395,360,729,121,708,944,024,
522,965,583,258,682,990,701,954,685,035,401,029,694,378,343,235,184,129,708,
153,400,767,778,186,579,101,060,118,592,895,992,823,248,401,047,781,463,924,
186,958,454,338,739,057,430,098,779,579,743,587,409,852,224,278,851,409,818,
350,307,189,083,826,362,968,530,466,515,607,431,397,364,457,982,474,442,909,
677,453,138,387,853,286,497,786,760,388,510,937,761,868,377,477,273,587,062,
480,810,969,815,019,149,365,164,813,393,702,739,360,478,879,793,004,440,054,
592,268,458,501,383,847,738,495,928,546,018,917,466,207,052,869,619,310,813,
605,249,451,656,277,206,106,647,099,312,365,748,140,718,330,153,684,996,029,
192,066,348,949,469,915,251,589,203,612,706,406,541,499,322,718,239,748,102,
378,055,274,321,832,191,042,783,021,630,925,675,495,166,531,369,896,545,358,
285,921,981,720,864,599,725,617,462,902,097,379,154,010,206,505,142,642,518,
047,615,083,425,720,775,336,994,436,127,226,892,062,796,082,798,970,438,083,
713,740,449,378,037,563,036,204,403,384,285,262,833,696,118,175,463,445,307,
571,003,599,097,071,263,024,841,019,360,776,979,696,254,831,376,517,923,711,
011,771,181,688,863,877,030,498,422,996,130,648,193,888,659,585,439,438,304,
786,120,359,143,193,682,319,260,645,872,173,491,602,466,215,394,575,988,840,
686,147,219,669,348,798,398,048,056,794,927,615,393,132,700,987,539,650,903,
274,228,077,081,727,414,399,469,067,849,354,645,303,643,770,597,725,086,440,
438,024,770,155,903,469,154,804,032,116,954,079,673,396,309,461,235,166,770,
837,917,061,714,484,079,488,467,218,849,720,401,671,473,400,532,014,867,410,
348,155,876,260,350,159,721,370,536,307,233,007,235,619,953,529,463,794,395,
092,408,749,621,758,702,692,713,174,487,369,357,288,792,166,611,368,819,559,
809,779,753,817,622,045,919,215,326,237,135,423,247,618,341,578,265,604,425,
766,008,636,715,548,604,263,156,003,431,448,309,668,490,519,465,185,139,050,
490,875,830,021,503,165,492,603,014,646,047,765,890,110,136,110,339,161,754,
548,441,761,669,753,845,216,043,655,931,625,877,707,838,065,942,210,513,809,
419,953,672,810,084,765,800,852,893,099,056,518,642,235,928,045,781,289,877,
263,000,684,451,066,201,715,876,780,672,444,907,413,313,495,618,308,375,726,
327,271,012,452,260,625,924,632,685,672,141,264,865,129,036,433,991,337,682,
153,773,474,252,802,969,396,091,919,344,609,769,335,383,066,479,156,995,350,
818,878,840,852,837,674,185,206,133,793,787,014,733,957,733,253,094,125,084,
454,313,976,430,623,034,298,738,489,648,676,540,781,176,125,670,547,512,456,
898,298,294,275,893,107,015,191,341,359,445,081,378,187,400,388,900,972,547,
093,277,524,979,351,086,330,257,800,128,188,312,213,940,444,021,527,922,526,
838,883,923,752,331,577,895,460,036,522,530,942,078,134,275,799,658,149,867,
121,587,810,606,237,858,893,510,989,356,664,197,761,229,180,947,996,078,727,
908,334,570,014,696,818,178,010,495,857,574,294,400,759,982,854,811,904,171,
633,491,321,883,987,015,147,491,996,256,598,568,565,107,554,410,850,950,433,
234,852,528,471,354,533,244,815,676,721,895,204,459,580,583,447,480,991,676,
891,271,424,405,978,050,764,375,733,744,780,603,853,255,536,709,129,144,304,
873,049,634,426,060,976,602,041,861,009,931,281,711,330,163,689,627,857,258,
576,804,174,959,937,924,840,785,649,980,392,241,826,836,701,530,332,403,931,
968,099,838,952,519,420,997,433,777,510,891,249,645,186,561,226,358,221,634,
239,709,209,569,372,714,685,197,548,743,462,488,086,868,720,643,006,956,951,
823,653,751,371,965,981,987,512,684,392,214,245,953,898,542,909,306,568,341,
237,361,859,545,498,474,918,102,636,405,581,706,103,040,816,316,191,734,332,
340,618,936,776,716,346,354,361,686,570,467,973,191,982,909,251,209,541,248,
799,557,764,279,497,758,497,120,940,059,477,417,223,741,949,647,228,173,851,
330,626,707,439,485,632,512,902,141,014,534,500,831,126,254,975,209,286,816,
122,674,955,769,302,954,551,081,958,921,282,691,779,712,536,666,728,729,107,
385,166,974,790,378,071,588,484,637,195,887,575,986,547,440,259,129,888,730,
687,877,831,037,578,243,608,259,283,864,968,900,625,011,941,260,158,263,808,
795,156,234,876,981,162,822,900,306,273,143,067,271,921,835,720,232,875,708,
533,027,152,562,461,177,476,924,112,816,220,747,226,838,207,554,763,371,780,
697,138,483,391,547,509,777,475,316,978,117,077,549,759,148,780,899,941,424,
642,362,140,648,940,970,781,455,612,934,712,970,853,113,427,599,637,019,229,
227,728,204,501,319,621,403,675,053,914,374,250,679,028,297,247,157,154,147,
279,796,213,996,623,502,106,151,279,798,381,033,841,172,267,557,298,559,607,
211,190,717,111,338,666,432,241,919,362,589,324,236,327,593,449,710,238,791,
917,059,267,762,243,554,570,970,194,574,367,270,617,492,340,979,732,761,296,
003,187,388,730,945,660,785,360,704,609,459,424,124,062,486,058,690,857,441,
430,454,993,494,587,011,079,103,403,105,498,348,714,980,979,669,858,214,577,
414,696,308,778,934,636,714,493,171,713,134,208,909,693,598,734,423,950,775,
369,360,545,074,858,241,578,460,327,459,982,979,386,057,555,976,153,725,719,
826,191,893,682,843,284,803,572,192,002,028,148,163,652,795,087,817,849,346,
809,421,065,262,624,000,764,240,189,184,740,531,970,840,939,817,595,017,127,
950,116,206,368,269,384,769,555,755,746,322,129,296,941,521,589,458,224,078,
660,938,526,661,673,347,981,280,017,961,080,431,302,527,231,262,851,211,998,
239,540,669,372,098,093,022,386,632,612,147,773,128,013,736,002,798,659,048,
926,541,036,074,900,523,755,841,083,992,265,285,937,610,647,027,798,379,428,
249,910,084,920,008,576,036,833,396,316,709,341,611,371,409,598,714,394,113,
201,524,008,793,447,268,116,832,491,396,634,906,816,817,833,536,128,568,573,
088,073,361,028,866,108,377,060,205,530,350,249,313,864,170,064,695,668,124,
131,224,784,536,970,114,760,690,285,326,059,366,708,920,080,483,807,537,054,
548,320,842,156,657,208,059,478,899,495,315,020,490,756,284,211,058,964,783,
155,675,596,940,004,048,052,971,164,700,010,053,925,764,865,546,212,613,775,
356,880,386,368,293,768,319,373,498,416,936,508,422,221,204,189,124,041,462,
903,502,535,639,363,712,583,386,998,192,570,515,716,682,902,454,477,109,445,
265,440,546,673,862,477,307,115,143,874,734,658,915,798,628,544,086,611,900,
754,656,294,765,772,731,695,751,281,569,607,616,666,737,735,182,942,068,934,
969,217,435,324,283,544,999,679,301,150,913,579,942,711,593,708,034,071,775,
060,894,042,789,622,023,853,784,633,274,856,044,273,955,357,092,229,898,524,
060,724,301,336,742,208,703,381,459,113,899,201,972,157,509,906,249,781,417,
561,344,640,465,075,951,894,343,856,944,012,716,295,363,050,031,277,654,333,
614,584,731,281,770,726,800,971,107,748,324,903,377,670,448,729,934,299,221,
510,926,339,495,117,248,471,258,113,968,193,449,281,121,096,764,305,842,013,
242,618,238,309,467,011,941,851,236,483,872,816,388,533,842,206,686,495,146,
951,673,586,646,785,202,815,771,787,075,488,663,080,357,712,365,100,284,921,
101,063,440,717,145,229,552,906,918,261,977,880,872,855,867,550,088,957,769,
374,155,085,262,412,691,904,115,528,710,590,457,505,715,108,098,369,094,312,
135,572,352,427,973,324,542,613,579,995,585,356,201,573,414,933,164,314,857,
149,767,185,905,904,503,311,635,181,073,769,784,493,957,868,474,960,810,100,
600,520,415,538,002,804,366,738,759,145,311,807,647,775,158,972,529,215,908,
598,661,901,139,664,696,594,066,638,759,289,619,465,256,223,286,945,769,086,
321,469,448,388,841,101,205,712,444,662,556,875,835,724,730,124,817,618,984,
381,815,721,922,706,449,964,646,493,258,298,291,166,034,317,707,357,609,500,
407,785,825,316,715,132,995,404,309,839,821,859,013,152,107,260,795,962,128,
688,255,611,003,535,502,342,216,919,671,424,179,715,215,644,286,568,091,451,
467,867,550,060,625,925,832,450,849,030,532,878,310,978,465,286,529,434,289,
807,187,693,271,537,085,713,552,561,125,872,201,954,541,693,251,599,583,391,
603,202,177,902,028,427,985,619,979,769,121,364,818,780,836,696,337,444,176,
562,081,647,306,093,809,719,910,450,468,414,423,098,892,370,908,762,429,157,
587,546,114,681,426,303,918,652,177,523,852,207,902,841,833,681,402,342,336,
801,095,648,036,363,825,324,240,810,841,386,835,131,858,189,980,760,397,283,
490,728,704,929,199,472,709,533,212,829,172,542,085,459,924,221,778,630,769,
575,413,612,579,216,564,385,414,533,179,914,815,646,290,207,541,901,964,253,
765,269,187,625,490,896,062,942,817,084,265,705,689,631,186,275,996,596,191,
047,319,323,091,911,522,238,664,307,260,825,082,117,708,369,273,546,478,154,
321,651,870,362,769,073,046,735,657,800,057,688,337,267,969,714,080,372,732,
261,851,526,281,597,754,021,986,721,214,517,277,671,323,335,446,099,948,485,
542,031,918,405,197,187,551,123,745,892,988,423,934,694,939,729,189,029,463,
863,087,367,973,845,175,450,546,215,648,463,104,696,520,499,586,236,253,929,
106,132,603,022,393,683,201,045,333,859,936,137,786,723,239,039,006,007,271,
191,316,630,023,808,869,416,440,202,390,499,749,290,751,465,719,971,729,708,
024,024,039,876,657,463,088,777,628,181,645,334,334,902,995,761,299,097,699,
090,498,349,916,988,199,189,146,822,366,738,258,210,157,806,245,894,861,163,
920,664,098,867,265,803,545,389,446,233,933,359,166,142,778,877,421,864,386,
134,558,488,801,766,011,296,059,119,510,095,588,456,682,981,872,842,658,223,
912,092,455,349,622,331,081,054,770,921,038,239,876,242,259,873,860,626,488,
994,749,188,670,026,446,251,099,321,411,067,198,729,257,932,316,216,181,718,
275,626,341,430,033,066,677,734,085,097,219,662,418,412,990,568,603,938,425,
745,621,193,764,397,627,419,458,487,741,678,116,372,395,794,303,831,816,844,
595,490,863,416,014,902,611,071,274,083,842,923,561,724,522,476,946,626,378,
334,873,036,638,897,752,792,802,240,912,933,305,896,919,525,433,227,804,861,
366,786,628,988,546,625,397,010,885,346,986,243,166,808,609,982,443,979,145,
218,759,324,545,868,316,224,010,430,140,002,067,961,498,702,391,767,495,192,
338,866,855,059,828,499,868,151,482,177,617,277,320,513,275,084,927,703,800,
479,457,952,543,725,225,618,036,487,917,732,969,306,667,208,753,728,206,839,
771,557,032,739,249,663,639,071,888,279,889,536,797,215,125,467,842,742,917,
699,709,359,617,128,137,392,719,906,080,213,791,218,795,870,647,219,410,183,
334,953,068,648,674,625,744,639,792,882,071,070,590,549,820,830,369,296,390,
673,882,728,365,348,972,185,499,628,738,366,003,575,031,570,441,899,255,252,
221,182,215,810,428,544,603,988,429,828,042,172,842,641,704,225,399,617,960,
714,880,260,133,166,633,522,283,248,160,944,174,477,634,280,723,789,359,138,
268,171,719,827,290,748,560,650,171,592,698,837,928,629,247,380,666,776,216,
945,162,930,204,458,286,437,551,716,855,084,847,163,884,598,106,286,909,819,
813,679,804,699,792,821,653,770,884,384,922,920,835,211,335,805,346,559,470,
024,667,277,063,876,324,592,602,672,465,955,455,646,367,976,677,273,103,321,
646,350,063,000,698,299,591,102,773,544,365,753,278,384,139,240,660,004,609,
053,939,315,494,745,220,805,694,686,815,704,701,735,235,284,215,381,178,732,
982,420,984,793,101,821,041,485,598,385,383,061,012,130,832,624,961,567,285,
547,699,736,451,724,131,424,027,636,752,253,709,075,802,697,135,352,857,647,
149,899,863,737,883,269,780,479,410,162,140,607,571,889,861,179,991,164,355,
084,996,813,786,727,841,036,099,855,683,623,134,786,869,351,996,329,629,509,
989,051,314,946,808,329,588,054,298,350,101,194,819,464,590,788,449,319,857,
408,024,256,727,853,450,218,100,661,563,012,717,777,298,645,877,391,546,527,
228,449,239,476,911,074,831,097,129,774,357,651,550,709,603,925,776,222,504,
909,916,672,971,353,788,149,512,130,724,181,022,607,256,713,802,746,643,996,
751,685,340,654,307,435,965,925,849,551,147,092,303,929,265,872,136,395,052,
472,476,896,691,487,141,644,998,430,891,757,127,958,689,246,805,791,275,836,
574,633,679,267,944,285,035,849,076,972,826,456,342,426,193,523,930,897,410,
240,810,263,767,293,596,328,678,133,503,223,993,769,507,434,008,308,229,373,
723,027,606,947,418,317,756,144,474,356,328,974,417,257,358,246,216,267,544,
025,883,077,217,499,600,058,576,639,492,146,940,795,519,270,782,818,133,678,
513,100,020,239,513,026,020,264,797,171,787,266,106,015,690,759,546,507,959,
963,534,513,858,213,531,209,684,772,135,916,360,443,026,451,523,363,365,079,
170,555,598,060,197,029,371,814,473,416,973,453,731,297,687,776,431,725,158,
789,577,878,516,992,906,536,677,508,954,290,359,241,246,638,092,132,637,320,
566,456,505,246,714,820,813,058,837,757,397,606,794,342,977,402,423,334,763,
106,924,171,516,707,433,080,060,725,524,840,488,841,689,697,200,471,658,873,
914,868,903,606,263,976,685,268,230,082,803,071,017,228,943,294,089,456,370,
760,543,480,037,499,739,571,873,831,923,282,734,388,124,310,357,808,489,466,
034,192,080,673,768,022,845,283,111,071,838,574,268,568,321,724,822,084,672,
710,008,377,940,180,341,519,259,916,143,383,872,961,514,658,690,924,082,251,
622,894,995,476,766,034,004,701,402,133,774,527,281,552,598,998,397,695,413,
140,122,343,346,625,455,695,849,291,093,069,250,021,051,988,829,570,608,667,
685,053,175,925,504,887,752,956,528,921,540,131,467,226,969,379,465,150,032,
971,547,736,356,464,149,186,652,429,659,210,411,572,515,327,240,401,407,156,
173,438,316,718,485,431,755,905,844,312,691,484,382,774,844,285,970,146,339,
431,434,332,910,386,240,456,753,397,974,477,213,291,160,955,098,865,763,354,
140,383,697,302,826,421,547,055,580,904,401,482,082,091,513,904,479,663,965,
026,392,930,133,291,113,772,849,378,476,613,477,516,419,015,285,354,780,441,
459,288,764,867,963,864,073,385,544,620,384,737,173,384,806,255,022,063,333,
763,533,903,792,705,480,240,082,426,343,276,938,800,433,064,933,078,537,215,
631,318,499,721,665,408,527,978,022,169,900,770,087,387,992,277,591,863,081,
958,591,139,357,618,646,834,605,858,496,129,440,685,545,958,518,328,094,619,
331,649,507,917,504,468,298,929,427,737,861,574,632,088,489,612,098,256,744,
316,323,662,473,070,907,977,789,705,821,144,392,049,517,377,567,549,797,126,
321,886,947,912,560,587,439,568,496,884,937,885,395,697,216,578,388,617,608,
868,328,008,085,564,240,390,979,158,058,054,402,916,277,053,293,085,403,943,
549,483,984,981,612,471,996,663,443,197,505,272,077,023,580,361,935,998,451,
126,621,385,130,295,090,547,604,697,417,530,660,006,770,310,954,188,123,310,
774,499,265,724,193,766,967,877,198,163,567,512,630,546,693,244,885,612,236,
625,527,127,850,408,411,622,845,653,622,209,603,482,796,169,072,626,422,534,
715,922,923,072,680,289,455,995,961,484,462,280,463,116,912,020,164,169,560,
030,159,159,078,755,561,537,218,506,879,412,004,490,206,369,653,323,608,032,
950,142,916,606,687,089,538,285,553,950,307,094,974,181,087,615,256,695,534,
903,563,922,757,063,846,135,397,039,198,291,213,794,721,403,852,204,574,574,
789,882,258,298,916,414,412,518,176,015,154,289,763,061,115,700,909,912,144,
592,849,829,938,425,529,479,674,409,380,400,985,799,348,635,931,543,718,758,
311,325,149,793,356,455,790,139,702,264,268,151,255,588,153,875,931,152,626,
013,504,123,360,853,994,582,787,602,400,713,091,097,389,744,162,954,907,947,
669,787,092,935,212,677,306,427,716,099,805,885,514,635,110,909,943,716,998,
816,653,316,927,441,322,105,192,195,988,479,421,255,358,743,599,957,166,051,
584,165,933,116,716,083,349,523,220,768,887,261,012,080,533,096,485,170,264,
115,373,423,309,366,918,950,310,324,869,588,805,079,437,041,474,297,770,887,
653,072,627,450,714,708,497,014,901,141,831,548,998,898,221,122,246,042,296,
219,252,628,625,416,492,292,990,073,150,379,679,213,743,875,680,290,830,469,
241,370,101,828,347,605,848,836,804,861,776,505,075,884,603,493,763,182,964,
145,444,285,757,526,617,699,103,628,079,163,231,456,935,948,131,818,567,520,
004,247,385,884,106,735,494,662,339,107,174,365,378,509,508,693,593,509,074,
460,032,491,843,341,359,132,550,267,925,441,337,125,736,360,174,814,601,218,
388,283,676,706,513,261,015,845,096,387,234,132,787,557,448,305,976,110,359,
444,758,941,971,316,416,538,118,061,671,305,954,722,033,775,139,945,278,627,
406,097,809,182,056,731,969,511,330,361,354,425,837,238,815,993,321,950,986,
070,892,397,127,456,105,709,646,816,198,537,889,629,508,786,023,440,934,692,
353,474,726,499,305,897,333,652,744,342,684,746,157,985,139,886,176,363,704,
541,831,851,040,806,887,461,707,413,546,385,823,315,904,399,639,836,552,030,
332,480,474,867,478,228,688,009,334,642,801,543,564,654,132,950,043,542,261,
494,997,435,649,142,831,470,552,516,500,600,513,893,677,925,043,545,711,779,
439,310,951,406,133,218,586,586,399,525,500,540,201,796,147,757,583,976,820,
716,134,176,861,146,081,522,548,553,827,614,727,390,834,661,135,819,984,004,
458,836,120,283,844,406,802,876,662,210,563,943,034,375,355,707,053,637,037,
947,038,366,868,671,938,802,574,464,590,269,942,785,568,196,163,720,381,087,
783,907,188,116,873,515,303,774,643,688,054,339,663,198,732,913,379,138,177,
299,241,149,006,941,787,473,216,557,288,193,136,832,222,491,642,163,233,977,
980,575,479,315,629,806,867,402,592,011,620,487,613,013,085,263,049,443,053,
059,336,351,346,670,234,908,824,217,888,524,808,753,562,700,971,195,979,316,
248,388,195,960,274,585,563,532,084,518,019,021,992,167,139,874,168,400,206,
304,759,587,991,823,322,226,000,835,982,430,474,426,610,324,632,365,926,277,
387,717,141,397,384,686,965,324,575,450,324,086,329,032,715,656,676,278,603,
116,511,435,980,684,615,464,475,289,388,948,015,332,491,382,077,432,796,425,
184,435,414,864,493,388,046,163,847,446,502,930,177,870,834,899,646,891,824,
455,138,469,457,538,146,850,971,143,070,176,526,288,848,672,231,193,372,126,
037,853,709,019,892,790,589,616,861,414,903,684,728,293,907,048,110,120,601,
391,577,037,088,897,674,286,062,249,554,416,445,137,535,342,660,101,694,626,
569,104,535,787,443,223,664,974,656,658,439,649,976,266,191,312,868,976,883,
252,346,268,387,481,657,932,062,327,271,720,544,841,495,301,961,417,763,128,
601,350,385,992,119,254,096,316,585,191,224,667,760,055,702,973,340,412,900,
159,149,594,737,124,309,438,833,275,338,964,801,772,638,012,294,048,527,705,
605,651,093,988,104,754,610,715,261,781,782,067,368,738,946,006,216,662,673,
579,896,623,607,345,955,263,933,313,277,891,846,847,448,723,997,229,019,073,
336,136,346,401,106,254,648,138,880,543,639,112,825,885,447,607,460,213,079,
646,514,562,803,920,526,270,827,170,003,194,549,600,921,090,081,058,129,344,
669,967,936,326,119,694,257,107,594,386,203,746,045,405,493,228,031,766,403,
571,788,308,929,249,132,889,603,923,684,816,955,110,998,452,988,644,182,349,
207,805,336,214,707,495,274,988,730,210,322,979,083,672,986,421,420,267,245,
908,550,079,596,335,858,894,147,153,595,725,919,004,856,578,504,698,439,949,
738,349,243,070,954,035,403,030,882,866,986,581,999,836,375,589,346,623,322,
014,698,758,143,205,067,136,448,343,910,667,719,258,235,984,755,158,296,185,
807,175,404,077,268,390,608,037,863,488,593,680,996,445,798,665,484,707,724,
860,861,475,861,087,335,553,211,097,492,599,602,432,271,189,306,023,154,976,
944,127,004,119,080,929,196,030,409,826,529,220,820,467,293,286,446,685,168,
483,256,870,231,260,141,772,225,032,400,073,298,113,706,426,931,396,748,375,
702,976,209,750,847,078,724,756,614,424,282,350,335,569,575,238,252,418,385,
681,375,890,740,093,106,601,547,292,395,932,178,990,093,423,119,176,199,234,
206,370,375,970,922,846,753,308,501,814,209,449,299,446,701,746,405,085,354,
578,884,980,253,770,799,687,128,970,312,563,695,185,744,270,837,216,612,398,
462,852,195,914,529,781,654,222,974,707,568,032,095,002,238,859,199,907,659,
019,779,802,786,276,975,821,886,258,638,052,357,667,007,818,284,502,118,931,
788,560,667,634,721,037,822,186,677,951,687,981,144,887,110,113,766,218,875,
277,278,272,242,335,141,212,303,694,769,402,895,649,696,573,053,628,839,795,
494,309,863,356,539,881,631,462,141,524,581,635,264,063,433,631,552,619,948,
489,579,498,751,486,302,159,148,324,029,969,659,242,872,871,059,307,348,287,
162,321,471,203,180,036,198,259,829,490,360,404,408,668,244,549,324,741,142,
508,421,733,936,902,961,878,443,403,460,468,058,680,030,955,015,418,696,863,
826,473,837,741,082,581,553,467,289,279,907,299,523,705,681,761,230,739,704,
191,909,486,583,941,583,608,128,799,915,002,499,823,360,015,721,586,118,309,
232,859,024,585,646,306,246,470,244,314,226,363,518,906,994,618,712,370,500,
106,478,124,603,794,586,329,250,016,579,497,486,465,609,575,752,309,347,830,
672,314,503,910,475,595,710,185,663,755,235,727,846,829,089,175,668,991,800,
100,447,357,203,396,453,860,417,905,830,685,181,365,050,961,605,010,142,986,
251,169,087,368,132,753,287,606,169,502,834,429,520,610,207,166,860,328,642,
657,797,583,811,650,490,944,236,141,341,752,839,571,056,957,816,872,338,887,
407,672,952,958,450,983,980,304,587,230,259,060,229,514,890,725,369,355,377,
433,719,001,426,318,088,955,520,054,926,260,123,329,826,895,859,515,881,536,
685,052,068,272,757,327,593,738,379,188,548,880,714,167,738,215,604,838,442,
311,917,539,448,497,023,778,006,465,091,603,995,078,291,567,855,803,667,122,
291,440,830,111,823,502,000,375,683,997,369,859,587,557,873,910,613,362,863,
687,104,997,834,466,571,228,119,900,944,387,052,924,283,642,896,399,663,186,
990,618,889,265,095,321,305,313,366,861,467,480,896,268,190,769,551,802,363,
390,023,008,006,842,376,915,125,565,374,881,703,894,336,322,687,101,524,336,
865,116,705,287,811,151,476,650,016,299,343,094,477,157,158,232,754,808,239,
021,976,143,581,085,087,768,653,106,377,062,829,164,242,793,250,254,639,690,
704,448,862,782,312,079,479,153,440,465,593,483,407,601,566,159,074,761,039,
020,084,436,645,788,109,914,252,093,247,680,023,532,813,882,737,770,683,999,
952,276,798,077,815,299,943,119,572,369,362,614,182,689,061,983,488,082,598,
763,881,192,498,695,035,852,707,467,670,878,083,379,550,872,904,376,347,813,
259,892,803,695,880,265,005,878,053,461,600,371,519,130,427,943,164,571,438,
775,341,599,735,482,309,430,961,263,372,037,053,615,233,779,534,946,712,207,
791,219,972,088,220,516,350,172,203,472,399,438,104,230,885,415,481,868,850,
005,405,634,704,313,039,361,505,368,549,914,336,814,668,867,030,570,625,123,
861,978,270,788,054,176,469,338,945,671,320,783,026,398,083,021,557,217,559,
934,481,974,279,856,487,515,241,800,972,513,973,174,742,656,633,641,745,989,
887,020,823,098,846,801,327,476,915,464,854,434,329,428,650,276,603,128,743,
653,561,484,704,160,021,367,523,212,709,843,182,759,428,473,425,354,150,113,
002,171,146,189,432,221,372,044,914,691,089,824,620,185,519,382,421,755,914,
994,239,928,982,797,163,662,710,915,628,222,642,839,619,985,861,076,645,023,
637,007,441,630,086,008,368,838,694,838,054,795,999,632,997,375,023,490,888,
829,227,926,402,898,722,366,069,075,163,900,722,835,079,394,693,985,100,456,
950,633,487,166,261,104,406,841,158,606,541,289,522,090,026,455,354,344,080,
905,253,716,392,848,356,749,841,950,560,603,636,411,858,939,630,171,816,345,
776,513,900,324,601,173,589,659,287,814,628,683,272,416,269,438,609,501,493,
957,577,925,468,616,732,418,709,197,177,717,376,837,972,893,757,673,099,554,
626,456,577,109,396,462,117,928,482,169,746,243,847,347,049,133,979,846,186,
313,058,873,747,625,421,127,663,075,541,797,930,443,535,923,382,807,207,624,
467,233,804,418,146,681,306,710,720,038,043,780,652,565,008,973,519,423,404,
683,595,532,015,677,523,798,399,162,731,966,692,687,810,937,176,472,567,425,
871,149,617,217,584,314,771,454,715,992,077,966,682,183,206,728,298,620,878,
809,076,182,590,933,325,888,815,866,164,675,329,674,596,065,929,172,552,436,
866,209,877,712,482,688,239,995,924,254,473,150,657,909,939,220,754,156,894,
889,091,057,234,525,689,610,544,769,591,145,318,513,751,084,102,490,920,119,
174,354,487,781,446,336,112,052,783,605,547,943,050,050,441,332,369,346,217,
488,991,639,943,208,391,307,458,168,118,987,493,827,945,686,825,054,654,403,
853,394,108,738,566,413,031,164,087,974,289,150,714,145,637,102,396,817,357,
342,005,619,501,340,327,486,674,203,131,546,712,199,550,187,561,858,793,155,
341,712,760,242,655,386,554,790,408,325,975,787,940,091,682,532,180,236,021,
964,384,991,430,996,384,487,681,011,378,708,875,457,929,924,656,429,805,158,
926,875,276,252,847,018,488,923,714,997,669,572,197,132,825,340,796,125,579,
943,646,478,093,877,911,209,064,702,823,748,672,378,185,335,359,276,041,567,
705,121,656,230,664,894,179,441,434,967,668,204,272,356,687,386,161,374,254,
054,804,284,469,450,021,085,547,729,390,304,314,437,897,606,741,348,480,934,
548,944,618,743,114,626,964,481,992,570,376,748,197,597,964,978,144,241,239,
179,929,504,694,038,127,895,805,297,215,575,458,624,794,670,710,571,544,192,
780,870,261,312,525,877,785,527,859,882,255,526,608,061,183,012,354,238,729,
301,656,376,735,019,478,458,066,050,433,479,979,403,591,628,384,464,669,825,
819,497,861,179,380,251,405,475,854,949,511,684,529,538,184,565,642,544,871,
371,045,508,912,903,743,656,094,907,378,450,029,630,855,509,444,691,206,191,
313,698,379,177,650,149,423,461,815,349,559,660,232,666,887,470,941,927,741,
151,689,451,266,532,410,661,959,010,626,260,260,799,135,720,519,814,284,483,
621,858,018,663,539,334,634,330,010,335,732,535,062,873,323,183,045,049,204,
978,944,273,801,920,951,269,575,809,187,251,987,618,698,847,918,942,323,044,
267,564,343,909,574,312,821,881,266,294,455,546,955,008,974,512,690,958,027,
313,963,809,403,130,928,984,796,568,954,507,670,904,276,888,779,478,064,667,
861,932,254,082,071,852,472,248,671,309,851,583,839,316,301,214,820,390,297,
400,214,001,840,714,156,653,634,013,501,460,766,082,221,017,556,940,115,957,
140,138,308,593,783,362,610,251,128,051,682,506,273,879,821,904,704,090,369,
483,876,562,638,674,422,227,854,249,516,834,454,051,165,233,522,598,171,195,
628,177,041,644,264,876,959,780,737,663,895,822,773,165,044,232,309,072,146,
747,316,181,826,698,721,390,420,293,331,279,589,048,182,506,683,324,691,034,
971,170,819,671,859,501,601,192,517,123,825,771,053,272,663,335,249,616,931,
170,513,307,395,864,491,588,237,335,952,086,788,872,673,884,976,413,866,390,
328,464,402,463,235,615,526,014,268,305,850,798,072,121,658,499,063,358,852,
391,298,906,757,289,725,806,274,409,980,377,131,911,216,871,894,621,738,842,
190,386,751,511,243,676,618,283,851,952,262,262,749,349,411,247,632,752,709,
819,330,299,255,604,023,542,957,256,064,279,127,961,304,385,930,926,354,451,
009,447,688,222,526,006,306,549,422,640,056,319,334,761,021,088,544,437,242,
984,788,592,881,529,643,371,407,206,309,172,927,948,433,126,865,802,868,949,
180,220,770,764,317,597,468,495,333,533,082,345,468,952,793,685,204,183,534,
942,936,058,193,320,710,783,007,315,594,613,782,012,529,869,288,621,131,949,
598,810,719,277,406,374,494,788,980,101,998,563,484,755,322,740,528,739,899,
403,159,442,862,797,613,084,023,356,328,545,933,234,049,386,220,458,519,380,
283,955,951,378,914,266,391,990,347,456,603,305,747,621,718,264,642,552,213,
419,067,149,090,105,209,985,042,739,474,872,232,794,842,619,603,207,730,385,
746,387,611,128,457,004,124,674,555,558,953,747,892,552,478,723,028,899,739,
018,610,164,795,474,427,675,197,039,496,777,208,489,116,466,321,404,504,155,
067,130,198,339,428,913,298,592,899,753,040,390,793,453,400,922,911,426,229,
334,789,331,264,588,864,098,871,686,957,105,554,231,407,435,976,019,687,038,
983,631,144,601,916,800,803,791,057,462,325,408,533,728,079,533,358,491,859,
409,951,599,189,263,002,739,623,102,525,420,996,918,400,978,306,153,014,520,
518,600,283,407,810,605,064,208,212,997,468,279,046,992,580,888,174,956,471,
823,350,659,723,149,942,478,960,582,162,770,582,327,396,001,029,479,592,165,
187,439,353,176,719,572,507,392,335,179,445,118,816,047,498,400,955,898,588,
054,019,306,915,709,592,440,612,367,543,049,172,260,997,832,992,414,282,782,
107,225,603,683,317,630,777,794,354,902,351,407,990,108,381,950,374,052,260,
236,178,161,340,791,989,543,527,403,278,172,779,095,820,447,457,597,623,143,
382,201,546,670,960,026,980,103,658,339,162,473,264,732,981,690,452,559,212,
830,506,473,316,229,047,905,360,781,089,228,811,787,198,989,851,421,708,764,
808,563,730,891,175,596,132,334,681,977,073,213,037,547,663,666,372,808,329,
220,254,171,317,846,066,659,865,267,829,104,524,513,542,963,753,206,966,390,
773,022,295,074,832,816,675,105,827,289,314,661,710,716,760,261,278,168,274,
916,368,295,541,438,619,823,742,619,305,549,613,736,065,646,147,615,953,565,
599,771,988,470,680,461,058,473,517,455,915,527,015,399,801,249,427,236,512,
712,344,010,109,579,883,262,609,660,712,020,151,849,171,102,661,058,760,281,
704,178,230,876,060,056,041,000,984,849,911,983,664,459,476,825,218,226,950,
802,615,352,546,064,322,299,421,472,217,593,019,700,044,618,642,057,811,517,
073,564,366,876,601,406,638,854,410,034,334,732,767,907,005,271,775,803,101,
503,408,045,807,261,039,800,870,300,376,886,364,478,254,699,803,286,911,424,
224,488,296,877,562,465,992,662,850,118,503,558,576,270,030,224,449,846,435,
999,590,456,688,488,938,670,679,769,977,791,997,375,585,290,144,759,849,022,
261,408,028,511,926,525,571,372,024,738,706,886,669,806,096,916,788,197,634,
192,443,121,410,332,212,783,596,725,241,037,111,328,806,223,295,870,254,152,
853,075,208,462,318,738,584,213,599,437,877,631,995,074,209,586,324,630,723,
792,645,935,430,262,207,993,732,172,101,210,591,444,643,089,646,292,361,474,
259,088,709,750,851,862,281,972,548,141,981,771,767,587,357,021,599,529,911,
305,404,169,201,634,794,096,542,521,378,680,804,369,247,686,101,625,193,357,
757,483,835,800,123,854,958,153,655,450,195,913,538,484,037,216,698,944,777,
723,311,666,649,717,563,702,521,442,644,649,507,591,381,168,003,226,100,651,
821,652,604,770,108,204,623,974,106,692,976,385,580,877,160,644,591,270,788,
230,522,866,952,265,282,777,880,888,450,818,685,012,347,536,534,441,375,106,
367,408,499,320,293,493,807,264,583,485,396,097,037,495,967,929,935,063,435,
884,412,549,587,259,811,226,658,293,042,506,245,266,104,325,386,070,517,900,
699,289,084,013,514,138,902,936,541,081,709,981,082,604,264,261,331,466,129,
882,412,282,403,537,890,191,428,742,804,375,309,729,335,369,890,831,556,372,
595,890,925,275,740,150,253,124,444,328,312,203,659,794,978,021,157,756,260,
011,725,467,306,305,378,607,833,054,323,869,776,699,114,098,615,388,818,316,
826,808,773,066,867,921,100,166,299,611,303,412,050,632,682,153,886,000,133,
073,928,922,329,963,758,692,183,039,252,098,814,001,474,772,362,792,927,554,
056,867,142,223,014,899,908,307,634,600,806,315,637,616,762,916,559,092,154,
090,595,093,553,447,958,499,217,680,509,042,249,438,666,355,755,476,001,628,
357,608,642,394,142,107,484,860,908,233,251,710,445,059,176,338,541,705,534,
026,165,156,946,103,801,581,725,457,635,073,148,156,587,941,782,283,609,672,
645,503,717,241,912,115,084,964,813,866,622,145,109,927,644,554,299,546,068,
701,238,523,092,705,855,331,040,460,369,453,643,660,836,821,947,488,801,958,
474,246,073,074,746,664,362,897,946,457,803,353,812,579,181,870,201,785,600,
543,160,779,388,211,761,930,769,642,611,044,498,153,435,188,343,495,192,616,
946,025,369,672,366,774,261,298,571,110,467,647,214,488,064,677,076,570,985,
405,578,147,903,392,572,552,239,858,026,218,851,077,497,230,508,587,606,836,
935,281,280,418,799,650,215,738,807,583,704,078,518,289,865,129,490,073,934,
783,395,055,127,957,582,731,561,836,022,755,936,490,222,008,615,605,150,198,
403,132,742,954,367,528,915,108,919,752,632,042,667,136,616,092,898,811,334,
501,638,079,938,509,636,240,060,959,796,428,149,341,846,069,396,076,293,767,
754,423,694,166,937,683,736,381,076,331,659,864,827,450,587,823,900,841,355,
698,408,000,343,536,563,995,140,387,636,574,705,871,487,940,232,898,897,066,
495,587,126,900,559,480,100,045,041,998,877,263,492,428,340,273,181,202,410,
778,963,415,782,043,544,179,456,450,828,189,075,061,510,646,855,106,690,144,
005,330,591,933,164,100,524,057,710,376,931,019,338,038,785,020,137,186,690,
566,574,884,061,333,825,605,620,525,964,784,244,040,471,333,906,766,772,312,
774,780,603,843,959,508,551,686,577,214,445,148,337,187,100,785,750,835,782,
851,231,464,211,956,866,979,474,986,361,546,539,256,851,797,134,998,066,838,
037,123,666,309,567,489,419,673,792,115,849,033,549,893,981,937,350,828,935,
753,599,016,968,025,713,092,536,411,812,055,009,666,590,405,085,400,439,617,
238,926,366,859,424,207,983,349,193,781,318,911,952,138,613,593,477,437,720,
064,481,418,006,344,206,863,598,607,599,620,978,486,087,539,514,511,737,327,
493,935,168,968,893,957,018,121,456,245,855,943,102,918,032,947,386,875,655,
510,817,057,496,673,563,026,777,750,286,559,659,361,623,173,293,497,462,485,
079,760,294,949,012,218,320,973,844,701,837,018,661,156,738,527,124,503,760,
657,201,830,048,348,958,816,289,386,250,907,467,471,538,257,412,015,702,813,
836,639,315,044,314,674,899,900,107,308,542,655,484,609,536,774,116,961,953,
506,273,719,962,907,993,471,860,089,013,484,150,842,746,793,802,099,162,977,
178,833,956,559,588,781,932,071,969,456,713,772,628,264,556,010,973,804,690,
774,717,575,133,540,016,788,848,021,807,161,250,674,439,245,214,813,335,827,
388,247,792,013,362,557,303,395,177,844,910,339,438,445,202,719,702,016,967,
543,739,996,796,586,315,575,767,655,822,208,463,091,167,483,947,255,649,649,
318,544,754,137,755,145,129,187,845,990,860,502,149,140,075,502,011,755,408,
543,326,774,704,004,891,263,416,118,052,120,379,002,320,111,908,338,760,277,
603,677,021,340,018,713,063,820,090,656,751,130,507,684,347,403,072,834,088,
881,527,334,838,211,521,972,557,085,802,289,280,586,231,521,109,484,128,156,
086,783,958,790,633,126,838,678,955,821,378,372,074,370,712,004,795,532,290,
345,740,787,467,337,135,558,099,529,805,052,712,186,010,557,002,015,781,490,
225,045,336,279,092,707,704,891,431,698,330,232,929,238,881,654,399,923,837,
141,859,121,750,121,072,793,425,393,065,649,992,031,845,288,254,814,201,504,
614,805,355,303,149,102,319,057,323,469,463,786,964,012,453,976,041,187,813,
851,162,568,432,376,770,406,572,840,802,025,008,417,521,109,711,378,291,227,
872,273,460,316,256,500,985,388,377,502,069,187,614,088,863,068,803,902,535,
587,920,093,790,913,265,442,553,088,458,064,888,549,181,193,394,203,783,614,
971,611,876,441,047,446,834,072,149,089,279,014,658,453,472,853,295,461,330,
111,547,005,272,106,907,556,163,049,338,026,404,565,368,704,639,535,852,211,
263,034,177,290,809,513,787,098,087,366,867,167,916,780,354,882,595,732,894,
493,881,730,014,363,891,900,363,710,682,036,869,487,646,515,897,557,911,104,
252,606,628,725,608,869,323,785,421,043,270,121,868,201,723,085,437,417,057,
573,189,348,009,615,019,988,639,766,382,909,072,932,439,218,540,091,796,000,
247,486,704,792,873,201,860,835,307,807,089,500,710,379,680,253,082,712,102,
757,364,938,480,795,942,782,178,831,490,280,416,918,578,686,238,569,633,741,
509,562,118,888,450,438,915,322,104,623,240,885,216,383,324,672,493,122,042,
051,966,510,613,277,135,414,798,866,017,374,353,969,968,912,704,125,418,163,
494,819,441,968,861,771,919,469,979,317,876,323,633,027,306,467,626,261,227,
235,463,675,654,611,565,941,717,246,021,957,945,270,756,823,136,274,795,229,
771,015,230,583,329,655,112,897,280,611,192,306,913,061,430,534,580,484,559,
028,970,188,636,335,743,879,777,486,442,561,771,301,644,057,275,852,716,245,
090,391,799,587,663,318,014,395,667,691,982,677,569,973,817,703,088,335,318,
677,980,961,826,432,807,051,639,282,403,953,827,459,018,837,580,434,920,844,
935,006,013,191,359,522,418,383,772,520,804,899,074,713,342,739,314,692,545,
788,153,768,964,733,899,287,396,629,494,003,658,843,218,916,314,953,187,674,
478,658,159,663,313,880,394,537,284,061,940,232,307,343,834,646,124,652,263,
514,582,832,524,212,627,695,850,324,915,956,215,006,348,260,380,624,274,395,
716,552,955,894,883,635,628,837,573,487,880,721,352,894,378,713,842,232,479,
091,466,565,451,057,920,593,108,651,749,282,558,744,573,983,911,847,956,362,
922,790,219,994,028,355,438,001,817,215,893,613,015,826,486,007,391,974,098,
886,025,213,499,006,808,256,558,519,307,023,024,593,046,850,426,017,431,972,
624,698,968,330,532,479,563,030,301,011,481,199,173,067,517,194,063,108,941,
505,589,863,837,168,238,905,729,432,481,782,098,404,351,156,546,283,721,580,
926,843,130,990,724,567,111,739,993,823,543,147,420,554,915,293,510,279,836,
184,255,931,184,989,335,592,762,262,198,262,006,764,611,587,207,371,631,197,
038,957,298,068,932,918,064,714,066,107,238,075,568,671,040,249,480,303,768,
619,585,627,897,047,778,968,172,816,523,391,571,225,243,107,354,298,997,249,
433,341,881,867,045,244,252,917,280,609,596,432,181,579,064,799,729,199,368,
826,314,047,665,351,331,992,489,831,433,625,363,439,799,139,470,562,497,622,
771,547,430,488,839,683,151,997,799,854,774,874,766,250,372,373,836,898,307,
298,907,422,500,770,542,668,728,321,898,347,835,945,941,522,818,276,253,122,
702,004,030,306,877,525,137,740,541,034,496,366,870,222,520,602,739,302,161,
716,438,564,256,723,469,885,523,775,068,884,801,773,190,054,707,059,808,131,
614,454,400,940,848,033,415,548,342,601,130,368,484,347,407,656,988,453,379,
509,951,586,441,665,561,363,330,629,087,801,767,651,810,133,852,858,421,266,
470,912,164,701,384,570,208,536,154,885,753,586,854,481,251,319,263,715,216,
723,979,290,113,200,477,006,979,834,660,391,518,100,793,365,874,244,532,436,
754,604,093,929,608,367,808,361,568,083,322,165,192,987,798,110,426,677,113,
044,247,808,149,121,575,924,725,203,716,278,498,559,383,541,042,392,119,264,
491,738,113,820,100,591,462,399,359,373,551,320,475,938,656,065,306,572,014,
371,919,925,557,757,884,023,527,448,407,677,290,332,858,278,961,092,076,022,
025,857,812,915,487,239,795,847,047,875,645,470,970,931,755,086,058,747,665,
305,571,604,242,781,023,387,904,745,973,604,761,893,820,775,206,226,670,512,
259,839,297,792,364,004,304,465,789,422,677,805,900,144,939,754,253,374,693,
639,765,370,641,496,086,720,439,792,393,044,042,768,280,812,662,263,770,291,
088,993,449,752,968,104,149,627,135,920,804,964,587,824,371,886,540,353,525,
969,979,719,062,771,104,375,033,157,113,469,186,405,297,885,351,016,094,254,
296,965,668,168,636,652,915,716,253,113,465,479,141,224,166,773,137,512,737,
502,845,839,371,822,182,431,877,302,178,706,063,835,913,798,411,969,566,006,
679,731,067,178,552,514,869,286,339,209,985,209,997,751,786,683,086,021,920,
215,225,697,817,085,777,796,999,014,232,713,259,470,649,654,150,445,014,537,
199,290,940,701,171,201,428,103,042,871,663,725,162,454,538,712,603,987,424,
699,657,986,326,618,687,490,433,197,923,355,530,373,366,005,776,833,412,113,
270,731,413,000,744,426,573,036,973,772,785,603,240,813,722,159,285,711,804,
783,045,972,057,377,979,443,901,928,208,863,966,420,494,017,051,050,115,795,
480,917,272,287,727,546,596,108,034,101,774,775,110,903,250,920,696,372,293,
571,902,900,134,262,045,812,743,283,642,236,357,000,701,990,471,810,383,611,
922,364,914,993,725,295,621,736,782,152,711,427,289,482,243,650,187,862,878,
207,908,623,664,432,583,788,578,011,007,985,894,405,962,959,719,981,417,901,
331,649,727,902,901,399,245,962,571,571,891,910,540,549,804,781,236,750,574,
374,163,246,766,886,473,163,387,551,141,683,375,208,190,991,921,066,086,962,
608,464,724,007,242,004,376,710,303,356,646,629,348,894,088,576,075,254,463,
876,968,592,433,400,619,898,302,879,542,525,187,029,221,853,565,141,825,932,
564,796,682,043,814,859,673,472,471,084,422,521,515,760,957,131,409,312,696,
908,433,225,996,793,259,567,565,718,935,491,179,066,526,082,425,435,683,194,
234,913,850,031,634,174,726,722,680,921,310,800,497,414,557,843,384,178,567,
322,545,506,626,537,381,417,556,225,070,145,122,833,666,184,113,783,341,409,
493,696,908,429,246,361,470,405,710,267,051,304,036,155,004,882,848,901,673,
007,681,205,858,027,721,981,527,958,188,471,094,342,153,583,247,148,044,894,
835,473,957,892,977,947,165,559,489,441,814,421,517,623,538,355,875,002,026,
656,126,064,841,011,856,001,708,077,297,623,611,682,943,555,426,256,120,201,
724,238,976,040,668,978,669,045,015,606,632,848,328,605,035,665,893,575,243,
719,382,338,831,694,110,033,794,956,016,318,850,382,603,216,584,625,794,552,
813,349,350,498,708,150,500,736,014,245,275,808,483,230,568,767,307,161,814,
148,424,866,552,783,749,387,218,336,718,866,736,549,871,569,956,842,843,655,
746,219,613,446,510,757,290,515,848,173,817,816,419,532,832,782,507,396,569,
132,447,990,612,888,620,806,588,612,949,325,461,199,737,126,285,144,627,925,
488,057,293,547,612,253,840,256,019,883,499,505,386,607,205,690,386,815,933,
511,889,857,067,192,373,720,864,428,563,817,650,952,144,758,135,612,151,159,
678,134,218,932,705,003,805,338,340,527,767,787,102,066,863,795,639,069,385,
218,033,794,120,182,089,556,069,220,402,173,317,153,225,999,886,327,418,533,
913,498,515,766,032,453,142,122,972,147,368,369,245,699,559,044,989,951,316,
300,935,154,476,250,708,381,431,804,690,241,252,693,238,926,696,051,909,401,
241,931,851,164,629,243,630,239,096,381,010,615,860,701,429,070,128,680,968,
452,803,229,617,954,543,193,626,954,853,938,413,202,516,319,668,050,369,723,
921,152,865,654,653,828,252,066,988,138,089,544,520,184,709,604,618,799,966,
559,643,334,802,247,997,118,905,336,225,830,146,246,975,853,881,690,654,799,
909,776,878,307,256,905,667,370,343,240,178,262,581,097,042,362,463,799,939,
056,314,188,687,018,120,180,479,693,730,434,725,670,960,964,949,406,846,859,
095,275,231,157,533,913,571,589,145,309,471,384,110,825,985,878,194,614,678,
650,239,726,983,357,610,781,554,148,543,547,261,089,981,536,123,716,668,921,
444,115,000,836,695,019,700,647,526,791,634,060,305,810,014,377,193,296,279,
382,167,560,431,060,905,472,452,234,029,593,974,552,545,835,093,503,135,837,
907,300,472,752,252,897,365,357,708,401,815,307,056,859,781,790,634,391,679,
710,124,641,695,762,825,252,503,376,913,073,754,148,982,342,101,296,776,780,
175,212,482,004,293,597,062,000,437,999,929,956,037,651,383,982,194,379,123,
874,885,344,341,785,194,493,761,361,012,965,045,101,802,032,646,880,567,254,
047,741,534,284,129,454,705,102,498,224,505,464,754,608,525,078,863,884,636,
700,439,097,031,713,179,843,734,264,137,143,601,742,591,130,291,082,520,189,
540,807,247,717,802,235,728,359,853,259,494,183,012,417,026,908,421,213,533,
434,577,362,713,837,237,052,805,912,692,963,513,955,955,391,288,620,137,866,
935,782,183,944,183,512,278,013,071,895,777,772,572,075,248,634,631,315,197,
673,707,107,494,217,843,564,480,475,836,134,162,321,880,384,279,090,930,147,
211,852,853,105,270,741,596,021,558,623,777,185,318,621,935,970,009,794,712,
404,394,700,099,795,277,613,911,416,901,854,490,278,889,678,709,524,504,698,
802,693,660,490,570,001,484,983,491,661,117,147,800,065,537,009,231,865,064,
870,303,445,939,746,400,713,799,385,786,853,734,077,090,305,336,233,933,323,
594,279,592,629,657,413,784,776,890,082,376,515,207,624,382,026,277,968,469,
156,543,763,645,826,504,739,957,808,806,361,762,184,985,743,613,793,700,940,
060,517,192,517,400,412,995,742,257,760,799,631,801,710,781,520,682,401,688,
375,503,788,200,231,379,257,868,641,193,214,146,026,617,159,291,217,438,748,
972,360,989,482,440,965,062,380,286,348,242,685,983,911,443,332,133,132,566,
255,686,930,231,143,565,709,562,408,418,328,560,241,844,791,389,772,125,742,
691,036,618,043,196,316,444,173,208,542,804,027,971,729,907,919,452,710,357,
308,303,882,849,601,389,890,608,548,619,763,145,311,316,979,997,571,495,897,
021,927,318,341,911,911,891,850,978,867,422,965,994,979,434,707,836,678,196,
639,255,440,467,248,028,602,984,589,652,024,578,276,296,524,462,067,896,065,
679,828,680,945,540,894,458,400,152,084,309,254,864,382,681,012,548,699,863,
080,474,266,352,236,701,509,940,978,789,891,603,846,936,827,734,522,062,205,
669,935,807,359,494,289,312,471,427,750,118,220,354,059,119,664,670,962,787,
946,166,486,892,302,545,573,266,022,085,684,898,204,744,500,996,500,382,934,
717,782,988,884,954,576,481,743,314,877,401,685,488,714,497,660,987,420,564,
456,123,485,169,243,748,597,610,044,772,835,105,115,752,838,899,980,346,900,
360,767,260,691,285,481,552,458,255,219,409,303,022,140,298,110,015,794,184,
060,624,237,505,078,852,064,738,840,241,942,804,952,651,680,473,214,339,174,
897,537,811,815,726,753,418,502,813,186,579,820,209,417,219,743,365,976,616,
584,689,413,402,082,158,792,361,785,997,037,920,462,327,033,616,033,466,376,
843,430,612,402,121,978,530,192,651,654,253,771,529,768,158,783,900,346,627,
228,593,365,587,757,509,970,085,148,768,493,532,158,484,335,814,172,228,606,
819,096,472,691,479,336,845,112,887,667,528,973,788,379,260,287,287,957,809,
881,726,916,425,515,221,875,842,207,437,063,382,780,017,120,793,598,835,975,
956,809,642,109,263,015,387,381,578,158,085,954,428,981,796,053,574,998,589,
186,819,303,154,848,634,901,730,132,152,754,811,664,889,811,069,596,268,472,
340,948,288,102,162,656,648,057,310,359,076,355,928,400,646,103,437,618,130,
695,658,302,977,773,343,586,995,066,154,641,530,394,662,109,755,188,419,902,
016,198,836,082,063,694,454,073,801,816,669,789,952,538,531,669,369,801,649,
485,634,921,577,517,822,839,735,109,271,294,021,399,643,212,009,908,729,808,
812,118,721,046,380,250,422,143,995,371,077,985,682,922,866,940,076,244,099,
934,685,051,712,907,888,638,264,102,875,689,947,734,535,106,901,421,764,139,
863,681,571,267,161,192,465,487,117,042,388,001,162,619,196,633,263,778,550,
719,806,763,051,178,437,706,968,115,835,399,914,339,914,779,062,704,655,031,
041,744,383,471,703,746,852,297,018,240,120,007,631,306,423,367,852,094,332,
184,853,307,547,395,861,762,909,501,132,253,896,202,102,071,765,473,030,378,
245,615,121,737,458,719,008,198,084,006,996,742,333,583,367,617,587,481,850,
538,389,887,958,904,890,065,423,973,346,539,358,286,070,635,981,749,295,285,
180,317,195,840,875,922,074,493,669,882,353,750,051,123,453,673,160,197,730,
927,722,448,178,803,330,325,469,319,255,662,090,470,872,466,834,490,536,316,
085,440,057,637,786,444,577,321,443,335,994,686,013,632,181,383,602,182,555,
597,632,291,266,137,132,297,962,056,690,853,723,702,487,889,376,096,730,478,
760,962,014,510,580,960,509,101,164,665,673,233,464,903,445,739,697,857,827,
452,899,221,747,322,370,357,683,550,559,395,836,070,777,055,991,117,558,836,
747,787,272,502,003,654,392,345,805,037,771,771,211,408,427,702,265,097,163,
910,131,720,777,459,997,171,546,258,715,848,871,610,937,599,070,044,315,675,
264,520,558,382,843,460,703,280,093,712,588,949,055,365,000,283,931,334,675,
689,839,062,549,605,826,046,281,169,776,205,139,220,199,149,729,934,041,589,
161,069,385,381,949,331,926,657,202,574,230,486,024,788,117,076,290,790,607,
796,788,320,853,509,923,114,479,219,781,379,739,523,804,508,335,067,599,773,
046,166,439,429,312,735,849,461,438,731,627,873,206,598,101,702,448,978,497,
767,339,548,662,320,780,013,598,865,790,503,922,117,543,640,153,389,330,555,
563,563,530,029,521,976,403,312,588,237,861,272,904,932,444,765,098,040,559,
188,985,758,524,738,857,159,393,282,244,682,585,274,712,883,675,616,908,560,
626,906,182,461,239,791,799,743,926,582,313,239,733,440,036,173,191,628,832,
270,271,979,633,460,279,088,729,512,640,225,826,135,383,029,869,791,149,154,
094,052,287,196,626,543,834,917,681,801,554,042,829,623,322,795,554,303,072,
200,702,546,639,482,184,052,379,468,693,542,573,481,892,817,166,411,150,704,
080,114,089,091,936,596,043,889,685,996,135,866,722,733,692,047,866,396,331,
934,550,924,683,356,737,450,744,773,963,118,255,727,243,594,059,053,728,553,
518,419,042,252,980,780,603,113,429,538,703,627,202,943,653,139,011,727,032,
992,085,445,697,261,888,079,708,875,851,511,234,857,084,731,792,072,789,724,
184,035,904,221,205,224,092,694,029,491,393,641,365,044,177,006,767,808,755,
307,556,728,406,114,864,387,807,725,441,241,619,650,824,194,158,510,552,861,
202,018,385,220,530,682,440,875,663,092,262,296,454,637,462,484,550,636,878,
433,602,422,947,364,632,927,519,766,370,521,058,741,959,007,083,602,413,714,
783,571,704,975,223,860,454,687,574,268,911,700,571,264,307,205,719,634,897,
618,915,956,357,762,840,951,214,388,437,787,304,199,326,045,856,049,434,662,
772,999,834,486,385,776,986,513,238,145,317,517,593,044,447,359,704,792,663,
717,348,074,715,103,996,767,959,362,385,049,318,440,651,626,859,785,379,968,
222,085,290,879,562,818,353,672,455,897,071,517,373,957,130,604,941,377,269,
716,762,012,953,436,867,328,538,680,050,723,952,703,978,720,541,164,501,125,
422,867,958,147,455,814,892,411,356,429,758,628,899,443,172,310,104,423,711,
287,697,417,860,955,812,058,566,231,177,054,185,122,982,560,725,970,070,414,
377,463,368,710,226,040,776,014,305,994,635,463,083,738,678,367,583,624,850,
093,743,383,106,808,210,102,553,791,689,215,370,530,402,090,632,220,271,780,
561,490,062,715,723,074,126,107,997,399,088,014,447,277,930,582,166,952,581,
681,285,677,643,176,620,179,401,102,880,316,147,388,395,840,166,293,141,588,
689,526,827,013,974,624,000,736,676,902,038,888,888,920,893,029,496,165,468,
844,701,075,993,868,465,024,365,988,902,710,899,662,492,218,763,625,812,415,
825,447,103,318,615,370,415,389,428,062,501,633,831,617,584,520,484,284,511,
987,186,064,509,580,931,411,342,570,733,371,724,057,668,854,578,446,542,360,
653,904,216,877,398,713,463,849,531,849,386,063,512,835,293,707,212,600,930,
256,851,246,538,935,551,255,841,835,623,175,552,729,866,304,935,304,540,196,
234,053,388,281,612,558,133,661,962,692,247,325,553,688,476,298,991,970,858,
824,518,776,691,335,541,981,266,345,698,449,063,240,394,295,515,334,333,679,
426,436,515,913,193,935,606,990,349,900,266,500,378,211,926,751,636,407,733,
783,504,543,788,659,245,792,524,642,319,267,188,754,427,710,581,712,581,382,
495,026,469,987,311,603,204,896,256,240,097,712,473,577,996,296,768,852,646,
408,674,374,261,128,214,245,632,404,182,545,150,881,795,720,959,015,608,566,
158,032,865,849,014,416,429,054,623,493,788,899,822,968,423,237,683,840,175,
463,465,889,146,597,054,145,104,586,077,085,502,121,754,233,300,563,870,812,
584,510,865,278,774,286,852,627,223,004,488,760,672,615,641,026,879,668,530,
042,796,824,644,958,266,907,868,925,424,550,658,065,184,170,713,607,400,407,
696,469,302,567,267,009,047,623,690,334,796,214,357,656,454,459,415,780,498,
696,195,004,375,264,009,488,519,887,182,795,839,670,911,591,332,711,078,740,
245,724,999,168,143,641,642,977,659,863,141,369,893,847,548,756,312,110,271,
771,177,299,500,736,524,844,715,078,291,171,474,123,964,416,851,289,773,143,
648,747,290,572,318,807,755,025,689,912,796,850,986,458,652,379,879,525,160,
540,600,078,652,599,582,221,953,689,850,746,572,873,486,638,092,037,474,987,
526,168,199,515,088,299,411,605,845,684,213,932,792,201,713,271,270,062,361,
263,392,877,796,410,574,729,587,303,558,691,821,891,678,069,563,415,968,489,
302,878,278,231,324,122,768,047,611,031,928,429,463,390,025,213,692,648,197,
362,907,732,417,047,726,975,262,162,536,499,453,003,729,087,082,262,260,754,
316,923,376,780,161,739,755,067,024,025,399,003,288,329,727,403,571,550,049,
223,449,694,626,266,417,071,554,131,708,703,911,025,357,847,736,368,741,537,
897,716,378,429,124,787,839,513,097,682,010,249,228,891,386,359,260,606,276,
127,623,543,182,565,509,580,637,852,563,218,526,863,472,472,626,195,705,486,
622,909,005,896,279,420,570,946,666,415,393,254,066,767,277,703,832,381,196,
961,949,959,261,559,256,106,611,117,157,383,937,744,360,148,816,327,308,309,
176,193,845,149,784,431,300,089,355,141,573,295,254,167,192,361,642,697,067,
289,133,093,157,340,214,488,347,175,261,407,400,919,082,871,664,022,940,486,
157,697,975,125,173,761,693,628,066,029,984,384,349,751,613,968,484,947,467,
685,598,646,185,241,863,620,854,086,269,201,126,506,209,448,745,042,720,000,
736,842,742,471,980,028,681,927,436,375,767,829,014,846,938,743,823,490,348,
661,887,383,776,027,763,885,658,352,967,046,595,454,640,356,522,108,427,295,
776,792,276,923,443,484,752,613,864,458,267,210,563,471,945,472,998,522,975,
381,722,014,390,337,379,597,881,635,497,116,722,110,748,720,315,117,091,542,
609,666,539,388,317,684,665,300,412,027,149,921,889,549,354,849,989,405,351,
364,382,120,140,356,113,670,482,742,444,759,754,740,975,309,636,209,086,632,
644,465,417,469,835,610,949,859,230,178,822,893,385,641,345,276,772,914,116,
618,731,268,688,505,067,942,271,853,045,903,190,516,168,879,359,091,163,724,
412,036,505,077,991,825,505,297,213,881,862,898,003,354,756,119,504,697,326,
077,300,555,669,670,827,122,856,759,439,715,232,817,863,056,171,758,373,741,
356,912,575,680,413,592,422,421,998,101,696,920,375,049,117,040,001,621,879,
052,699,628,108,241,881,616,202,479,203,677,722,421,643,515,155,896,108,952,
212,609,485,404,080,443,340,400,311,220,177,993,525,593,965,129,141,574,227,
137,509,856,880,989,921,829,391,777,118,880,105,415,168,988,655,948,165,491,
380,484,949,155,352,532,984,368,543,710,635,496,322,258,751,672,823,491,804,
994,671,277,066,800,189,482,432,245,792,625,328,046,431,640,423,547,103,342,
840,449,539,238,777,385,611,728,529,550,404,774,370,158,785,090,141,359,466,
232,738,344,716,375,900,627,484,597,910,747,429,198,914,376,506,769,838,809,
555,126,222,197,681,689,030,590,062,630,312,323,220,609,741,353,443,486,351,
013,863,567,159,042,159,232,673,821,029,701,870,376,696,115,007,703,948,653,
189,307,918,518,050,216,347,079,901,863,972,656,656,209,648,553,405,134,929,
147,449,913,870,153,731,983,090,034,408,810,865,321,406,141,148,232,085,803,
262,129,934,569,270,266,620,385,651,519,778,449,468,133,475,883,118,646,684,
792,162,279,617,304,940,647,212,448,431,654,999,105,468,002,261,064,736,063,
851,674,223,816,605,700,156,348,164,140,052,297,964,790,360,876,027,622,844,
587,653,003,788,622,754,708,609,651,949,650,229,283,929,497,157,020,876,120,
358,579,841,083,683,619,848,646,909,111,860,576,885,374,484,666,874,294,551,
748,322,527,011,278,520,026,760,074,294,956,596,972,157,137,311,540,831,610,
616,270,853,008,887,523,873,753,750,476,271,326,717,457,228,666,387,212,933,
331,231,259,159,076,591,617,898,772,661,418,093,007,398,713,254,409,227,217,
211,239,795,402,505,412,371,994,346,065,083,777,865,904,172,686,127,471,108,
640,650,593,711,989,262,729,821,928,395,946,993,987,067,739,835,073,509,095,
465,202,482,459,312,639,912,896,328,392,071,161,852,537,253,108,538,403,015,
478,658,298,750,667,402,455,021,161,709,266,015,435,835,908,083,488,109,598,
154,077,906,669,517,661,400,941,057,242,122,223,580,292,141,808,948,259,013,
437,757,023,977,321,067,929,669,482,818,474,222,123,331,070,115,209,229,006,
698,746,744,997,809,490,154,110,878,666,112,905,631,724,559,796,563,960,891,
816,661,265,673,740,992,766,786,074,868,967,565,777,154,102,086,183,413,387,
069,825,787,858,927,198,145,389,616,110,892,286,991,842,631,967,159,602,078,
414,942,311,975,798,165,511,295,550,772,015,567,798,622,432,320,456,627,130,
807,536,829,345,260,878,920,703,594,603,753,713,020,598,435,887,307,808,197,
618,324,041,796,839,818,100,035,334,954,641,135,936,082,385,134,415,422,230,
895,704,043,640,368,716,540,775,476,925,456,045,532,078,089,490,503,392,758,
524,093,560,661,774,497,906,220,362,310,735,174,410,970,171,324,560,198,720,
480,483,398,723,875,034,489,368,868,559,326,930,755,633,002,670,596,872,968,
713,257,938,163,666,874,530,778,028,521,203,715,203,386,325,170,903,017,281,
075,267,886,547,025,998,989,424,859,203,105,177,494,627,208,647,994,450,515,
377,895,654,852,654,495,425,039,521,688,987,570,316,354,187,651,732,055,622,
398,474,525,182,532,303,600,640,430,262,196,288,068,583,600,069,659,410,461,
884,434,553,315,037,463,794,978,881,446,276,985,428,971,007,135,854,068,594,
542,437,613,107,862,103,953,779,444,602,751,297,496,013,342,693,207,232,751,
417,030,182,911,185,820,980,831,614,798,414,061,523,434,514,687,490,127,512,
628,732,039,597,104,319,897,907,015,360,350,630,097,605,706,953,845,526,757,
595,632,115,751,227,678,626,421,854,712,666,629,155,885,242,286,752,599,514,
261,465,368,399,208,514,908,280,001,442,606,821,222,613,960,900,785,824,229,
479,572,767,296,434,822,785,365,163,024,273,658,471,315,879,043,505,431,675,
022,026,928,672,174,310,567,799,467,047,980,143,950,387,918,874,312,456,557,
732,175,156,138,958,714,840,208,747,874,385,545,906,217,158,098,751,236,614,
998,655,876,152,783,044,913,525,731,822,196,837,198,128,551,191,019,843,761,
902,414,978,589,017,518,608,738,610,655,834,385,550,761,559,764,713,220,787,
937,486,358,501,275,587,349,658,328,268,578,126,341,804,062,168,191,709,907,
084,757,355,197,962,544,214,980,361,774,254,476,889,267,449,316,133,970,037,
191,820,807,712,323,606,837,017,606,063,738,070,469,247,153,816,690,358,736,
047,078,243,581,278,217,211,080,241,123,323,780,238,498,942,793,527,463,018,
373,401,607,510,325,767,364,979,341,044,980,440,880,225,860,042,066,124,122,
994,671,663,702,212,099,758,129,472,968,904,432,221,264,163,870,362,867,508,
901,142,073,322,101,530,075,035,282,900,498,868,737,756,641,200,397,901,704,
994,247,752,945,896,457,971,284,357,603,568,200,795,078,318,173,733,561,554,
158,175,845,919,324,778,862,429,364,262,224,848,985,978,942,944,597,687,265,
486,997,850,223,967,624,422,818,361,319,936,511,682,403,123,624,725,428,606,
833,383,038,015,369,439,516,327,851,574,119,480,709,283,899,784,972,367,771,
568,931,609,247,166,822,756,401,569,066,852,326,930,981,294,909,378,310,208,
198,181,702,832,894,004,928,624,377,574,988,264,127,803,349,691,434,366,504,
795,354,490,794,882,555,390,750,630,430,157,994,934,621,190,561,168,059,434,
039,616,602,219,100,935,468,642,588,470,461,921,216,671,232,892,075,215,898,
438,116,062,219,982,904,228,052,360,772,992,417,568,217,838,870,684,449,535,
630,259,256,809,079,627,464,888,522,712,001,506,226,994,904,417,745,373,190,
039,358,111,719,380,814,987,289,144,944,108,892,896,725,824,910,139,107,599,
690,003,456,198,822,731,491,522,773,592,486,954,402,062,275,808,847,005,795,
023,876,800,597,681,392,118,540,593,634,747,917,423,324,798,366,375,447,438,
135,788,268,295,808,109,224,200,338,260,102,459,475,599,573,484,433,866,606,
438,334,946,147,068,345,808,820,932,740,326,891,502,313,290,950,677,804,863,
936,690,006,348,118,445,105,054,801,308,638,875,299,604,463,796,539,413,541,
653,206,411,191,289,572,245,439,188,606,194,613,481,174,544,616,254,319,832,
279,979,294,229,701,288,102,157,686,211,036,304,124,955,426,592,207,844,454,
404,710,591,669,550,871,101,746,084,331,268,808,631,323,564,416,152,592,225,
019,879,564,927,028,877,428,806,535,094,944,981,760,742,630,587,249,491,352,
815,034,015,525,240,746,907,336,661,801,159,856,911,828,042,198,221,135,592,
173,234,834,687,332,548,636,518,521,616,851,881,004,667,165,930,947,130,685,
874,428,473,341,625,920,627,629,514,685,859,593,239,281,188,810,649,608,423,
646,812,408,242,769,076,542,495,044,347,697,723,863,004,097,173,219,339,512,
692,069,531,616,896,458,934,559,414,709,658,309,835,477,507,861,443,567,181,
615,247,631,516,883,163,428,825,026,546,680,305,685,620,531,038,567,609,669,
907,704,719,859,635,311,572,191,327,777,839,269,291,586,688,449,847,830,932,
775,890,065,721,345,753,069,683,127,617,812,135,616,911,744,205,054,280,622,
585,000,326,034,968,265,623,215,639,008,738,482,239,656,044,305,830,913,738,
964,784,750,406,879,698,022,422,437,733,585,923,356,974,715,274,779,946,996,
060,311,110,696,693,605,307,780,002,616,644,241,686,373,752,818,808,373,057,
181,466,373,116,243,452,212,248,259,165,478,253,478,442,388,994,820,648,490,
529,406,888,146,526,948,795,630,123,101,464,483,059,055,950,566,020,060,108,
761,259,273,834,819,403,211,697,424,739,704,620,894,195,890,076,066,265,882,
132,318,429,739,286,534,611,083,387,570,613,651,811,603,572,568,720,540,715,
896,965,391,822,017,801,744,674,135,668,990,917,553,715,890,087,580,141,986,
693,582,371,824,206,429,651,547,513,218,980,427,462,898,608,596,424,102,927,
772,463,306,361,591,648,376,421,335,405,546,187,443,621,928,480,276,470,486,
420,994,776,668,251,439,273,595,466,524,024,624,725,534,584,886,414,970,250,
681,795,927,684,165,718,522,401,304,299,046,835,168,747,483,134,819,089,054,
848,723,919,803,817,261,240,330,551,809,845,504,407,703,318,846,210,995,860,
572,992,444,063,277,296,281,042,113,191,019,450,955,069,245,793,774,670,170,
176,065,162,361,751,931,056,507,488,746,980,629,322,269,536,809,272,897,228,
601,520,226,805,368,324,337,351,371,116,938,135,056,990,747,395,964,095,120,
152,005,718,952,511,619,348,270,935,028,144,470,688,999,241,991,922,951,130,
099,485,956,188,763,880,214,881,683,353,612,019,924,821,980,867,716,924,527,
857,523,255,277,410,179,173,140,525,812,472,675,297,231,884,724,842,126,162,
683,501,240,246,379,812,482,993,110,470,876,352,429,971,127,982,141,634,603,
349,573,133,986,595,214,245,941,436,879,034,539,985,562,529,887,518,818,836,
573,998,494,501,531,703,825,053,133,600,542,358,771,975,367,378,027,278,153,
089,293,544,796,583,032,775,148,889,445,689,449,563,723,118,292,632,968,382,
947,022,380,942,863,730,248,955,506,647,406,246,668,734,392,770,934,985,836,
007,228,152,836,204,691,958,460,213,373,925,861,895,763,559,932,761,562,949,
974,100,679,021,225,390,131,208,719,684,400,682,317,398,146,986,812,217,692,
642,454,066,514,352,107,149,808,158,080,532,744,286,175,934,079,174,274,242,
730,181,371,162,672,173,914,989,604,891,132,011,303,473,222,150,652,416,664,
402,294,923,610,336,084,856,426,004,796,343,679,620,461,668,417,252,468,143,
366,145,538,342,783,952,355,284,798,561,549,608,417,701,839,896,016,252,297,
647,960,123,919,043,744,946,097,435,659,444,932,894,930,159,048,521,847,080,
411,894,693,651,261,907,806,451,172,302,911,142,562,386,281,567,326,163,103,
836,379,949,412,560,737,337,102,240,951,302,314,502,719,314,505,490,787,630,
905,655,510,485,712,685,196,125,288,445,206,182,761,230,546,624,489,599,035,
091,405,010,027,149,671,402,109,919,884,422,018,679,958,930,430,538,721,405,
354,999,428,146,195,808,175,770,430,767,811,861,835,326,395,414,536,069,565,
260,055,067,903,752,598,832,578,707,073,248,286,494,536,400,072,095,117,372,
992,515,560,985,998,720,542,165,677,575,013,762,448,551,171,959,979,071,120,
201,091,970,459,837,975,498,421,628,520,499,312,757,647,062,726,235,443,390,
829,813,266,291,147,194,906,788,328,119,096,538,105,464,534,693,349,112,376,
952,358,180,171,552,504,663,586,640,477,110,341,574,205,876,207,181,704,852,
181,215,141,256,045,206,412,306,088,283,077,132,653,595,756,697,355,056,378,
505,184,401,996,469,829,368,739,976,729,934,388,726,682,937,859,788,692,995,
253,404,327,145,122,175,935,660,621,913,311,709,150,904,377,798,195,150,258,
077,014,935,939,037,472,480,676,741,512,740,523,475,906,211,731,124,152,666,
778,670,076,440,754,474,919,130,788,135,107,389,115,540,083,588,327,073,356,
560,123,446,847,251,970,888,815,985,481,774,154,607,544,247,551,946,772,452,
793,481,236,549,931,991,480,144,806,779,771,853,412,162,321,365,754,819,339,
592,829,791,774,720,240,638,958,325,433,278,366,391,562,999,446,521,384,259,
295,145,243,567,317,756,598,575,423,497,746,653,897,506,008,641,594,304,503,
846,477,983,553,541,935,880,925,623,986,578,589,799,399,480,591,842,891,169,
748,399,566,621,134,537,480,287,528,827,519,813,203,310,181,384,889,405,085,
875,999,764,104,063,287,896,375,185,598,688,683,702,278,809,418,557,480,357,
209,505,562,790,680,932,437,788,461,915,264,544,050,469,371,994,142,741,471,
823,338,708,646,137,466,079,001,411,432,681,607,946,258,093,000,294,453,988,
844,878,646,802,879,264,893,805,897,251,581,033,254,243,333,032,243,004,153,
612,485,993,909,596,497,565,509,476,800,253,081,420,503,176,458,039,236,687,
226,852,559,797,953,611,964,799,494,446,248,736,872,838,768,010,468,250,631,
924,058,071,965,140,148,178,912,953,309,207,339,066,841,829,182,132,385,675,
312,095,451,397,159,315,982,039,083,856,465,363,428,663,609,237,466,593,610,
118,206,397,723,424,775,073,511,131,658,453,556,307,340,526,668,392,924,723,
561,534,797,092,510,316,819,447,253,168,518,175,282,722,183,722,901,563,238,
425,765,907,143,633,386,069,345,686,351,145,358,778,053,661,411,002,930,071,
466,616,088,603,619,643,025,176,774,122,564,031,787,067,972,569,496,941,959,
840,909,524,820,651,679,262,495,344,729,379,423,870,101,722,553,279,151,624,
081,901,859,846,746,188,258,565,003,443,857,716,088,055,593,386,001,858,364,
696,718,207,482,107,902,161,960,745,100,838,254,434,584,018,448,433,047,542,
279,019,766,224,096,123,050,871,523,191,353,799,674,354,529,795,849,483,853,
600,695,443,379,290,429,425,858,739,510,764,342,495,874,356,493,235,949,907,
301,348,687,254,608,803,561,611,827,665,085,044,709,582,508,831,769,786,673,
356,436,804,365,516,572,396,532,141,947,197,751,490,583,529,784,916,961,794,
085,753,338,974,207,475,744,188,842,013,246,505,987,363,704,468,712,162,856,
475,524,871,280,612,136,662,500,351,333,312,658,697,211,312,934,102,143,783,
912,816,645,947,990,575,103,784,574,251,859,163,595,316,420,929,228,881,128,
553,238,617,979,258,049,112,493,519,791,889,716,594,475,740,720,130,064,054,
287,340,308,229,701,507,470,764,729,013,216,751,814,136,583,024,714,684,307,
671,490,295,129,290,321,090,958,439,628,204,749,013,034,871,991,495,909,768,
873,529,404,689,481,451,017,274,536,175,280,181,487,777,111,074,599,856,044,
283,562,707,220,298,830,670,622,700,351,771,363,929,732,704,459,661,925,582,
769,654,953,280,374,708,472,521,217,002,588,019,978,675,945,980,959,490,315,
896,738,010,761,668,742,930,299,022,446,625,705,984,339,109,101,377,812,384,
066,657,888,111,597,293,449,332,156,417,002,695,691,989,419,765,374,673,647,
723,321,638,029,444,096,260,371,261,245,522,664,805,131,204,579,551,148,084,
582,070,727,452,685,818,067,223,352,604,159,946,066,569,662,289,119,184,893,
098,952,613,263,672,371,344,437,884,745,946,044,092,014,284,693,784,642,737,
726,716,168,247,589,423,249,503,487,105,750,300,412,112,821,482,389,241,454,
875,394,715,627,996,773,747,773,757,339,624,991,643,997,460,555,033,169,769,
839,489,609,416,945,731,324,279,817,646,336,170,537,472,299,604,602,542,746,
074,026,176,720,310,442,282,226,450,618,071,837,670,187,057,432,704,786,759,
067,337,238,311,573,455,525,857,216,227,565,403,118,538,540,846,868,759,580,
114,085,763,455,687,304,157,340,649,961,792,301,119,680,110,163,585,121,485,
293,759,643,420,032,526,759,548,347,277,649,067,753,070,595,552,382,455,412,
993,002,526,735,319,981,266,413,791,018,890,637,461,091,412,099,722,784,187,
962,434,331,028,972,962,143,309,671,866,467,695,775,992,053,152,232,852,723,
403,570,324,451,528,382,175,985,007,358,996,834,132,219,572,097,700,094,299,
183,810,157,282,605,231,503,384,026,600,699,309,315,122,435,649,764,661,219,
873,409,903,799,060,034,953,221,890,070,751,177,664,665,458,225,751,646,636,
719,927,603,824,006,598,593,424,495,368,279,674,823,593,920,216,761,633,053,
131,565,663,013,622,462,677,791,564,143,288,894,141,572,512,524,032,634,371,
131,814,271,388,934,699,268,892,898,769,926,822,140,627,988,001,772,626,150,
547,430,136,177,729,287,537,908,015,656,408,485,366,168,901,354,682,300,357,
519,575,142,773,872,365,366,392,835,110,131,257,433,989,910,380,279,502,849,
779,670,868,829,082,897,020,670,800,837,396,587,314,594,194,378,803,880,982,
280,794,871,635,399,516,301,557,455,268,219,441,087,705,065,495,221,607,311,
082,253,919,496,068,201,003,726,110,823,468,400,386,581,308,381,173,637,399,
922,393,187,886,240,883,056,456,876,667,959,400,037,200,785,963,307,735,062,
290,811,008,029,624,352,841,699,788,778,192,355,852,420,005,105,802,032,250,
994,476,473,969,560,170,426,483,863,178,535,348,279,935,437,697,531,992,922,
629,508,664,165,765,066,330,573,911,721,284,110,114,445,168,896,993,354,263,
053,981,026,377,861,952,851,537,271,142,164,056,495,051,127,185,178,987,691,
166,503,972,487,740,351,484,100,550,632,783,279,778,828,491,459,423,194,595,
357,486,251,461,023,315,489,855,377,438,674,951,554,608,354,214,305,088,933,
634,418,920,311,803,545,744,400,390,757,467,332,498,678,214,493,545,884,595,
041,239,034,235,656,455,590,684,842,885,465,279,358,128,854,999,366,199,757,
033,729,941,755,076,721,520,991,892,026,150,571,921,977,214,584,763,191,832,
026,165,017,169,000,604,957,680,870,440,936,253,202,952,406,334,559,900,803,
218,114,622,934,955,989,377,844,127,690,448,438,416,628,921,255,889,601,467,
896,280,834,075,429,474,779,197,435,755,210,003,798,596,983,135,739,071,513,
075,089,757,436,625,230,444,437,927,731,307,979,820,641,311,741,462,008,287,
833,324,826,636,254,400,996,380,109,963,804,458,000,355,423,421,385,302,144,
129,626,673,334,373,330,296,431,703,118,296,688,915,409,487,897,606,328,943,
843,048,818,984,181,842,608,374,311,005,470,324,444,621,608,490,831,136,559,
950,236,180,215,847,406,836,401,560,351,928,999,372,100,029,906,573,908,608,
854,754,625,069,602,421,254,285,508,531,482,955,178,411,090,037,042,731,892,
054,935,095,263,261,955,777,424,369,137,713,759,761,522,033,269,240,001,628,
600,851,829,978,520,388,777,404,239,758,833,785,574,909,651,567,033,084,535,
677,743,948,062,300,140,914,549,871,230,895,091,945,537,026,596,567,935,980,
881,685,172,669,463,609,510,162,144,486,067,559,539,559,039,142,570,523,333,
864,063,795,588,628,126,745,047,337,445,421,797,126,358,850,504,871,664,043,
218,237,074,986,443,677,360,495,799,436,759,506,037,840,924,890,470,178,499,
370,218,560,952,991,852,084,640,595,008,380,096,274,117,603,571,223,188,527,
121,167,988,186,723,169,634,545,867,199,898,272,953,603,092,876,687,640,396,
536,536,500,290,944,432,852,957,845,280,705,572,714,676,206,285,130,312,193,
288,803,767,261,639,974,102,086,762,666,808,721,276,127,341,297,242,422,058,
205,916,141,651,139,658,110,991,095,214,580,172,574,466,949,976,845,286,259,
042,212,502,707,726,163,150,156,399,530,896,890,197,670,688,657,247,675,132,
348,960,628,394,771,106,263,848,431,787,704,597,190,782,294,966,741,767,840,
042,366,439,417,496,075,992,080,692,919,205,651,940,267,458,330,049,652,531,
438,107,388,177,480,766,000,764,229,758,429,080,705,620,767,612,420,892,982,
062,153,722,029,357,717,954,061,799,078,042,240,338,705,212,256,191,980,692,
487,695,712,162,285,210,827,262,624,310,976,970,133,502,468,299,403,581,102,
147,679,495,697,976,339,131,957,667,603,934,082,310,154,266,848,605,917,645,
049,867,553,458,488,226,304,378,349,339,955,436,390,870,197,541,159,360,111,
453,714,476,501,684,693,169,974,455,530,072,291,337,440,336,617,055,371,045,
185,462,860,980,528,751,772,649,474,373,633,086,314,474,890,516,600,195,950,
470,835,471,547,292,739,472,790,758,925,727,331,358,564,674,140,275,402,590,
263,422,445,868,256,929,626,505,250,587,878,490,562,636,311,418,180,153,127,
695,854,997,787,733,075,647,979,101,829,770,097,655,969,226,311,995,457,266,
443,917,417,889,771,655,962,279,647,489,878,255,885,579,609,373,471,141,204,
790,802,428,614,568,898,480,917,972,570,166,285,121,991,372,889,566,670,065,
737,577,304,687,364,972,409,465,020,193,381,159,584,156,353,963,992,014,467,
169,724,309,068,643,361,014,889,113,624,031,691,641,058,713,062,475,981,279,
208,606,818,159,695,814,592,557,545,519,824,699,501,196,562,329,353,062,140,
293,353,910,338,189,930,630,383,051,222,590,709,744,757,023,419,399,850,333,
532,618,953,839,919,385,910,119,694,822,133,168,174,653,179,567,944,563,786,
439,848,465,738,827,555,457,903,799,103,341,275,098,090,996,474,701,986,855,
708,331,821,269,719,767,395,348,118,567,747,161,061,979,494,737,666,288,353,
812,619,388,182,676,149,866,526,230,753,703,077,298,700,997,072,220,269,026,
991,760,421,429,195,693,420,533,246,902,873,348,748,601,534,542,193,984,810,
628,699,548,156,807,600,513,096,411,141,800,496,640,807,242,372,889,183,270,
123,569,187,194,885,728,696,214,790,576,995,578,224,893,744,670,106,697,000,
902,032,858,916,327,868,854,630,600,745,170,757,875,854,871,664,390,872,026,
131,259,979,334,247,194,637,671,795,635,393,388,460,251,140,837,283,422,999,
842,218,843,264,566,264,862,583,358,964,299,625,151,236,769,387,489,710,237,
006,257,336,382,263,493,263,422,998,551,620,682,205,325,867,194,135,409,122,
236,501,918,783,624,829,869,503,609,021,054,868,104,336,081,753,743,457,094,
404,941,071,082,347,587,927,427,515,102,981,882,890,072,189,695,565,432,337,
878,787,684,424,911,814,906,099,297,261,217,580,672,854,897,233,731,091,130,
218,464,312,826,102,876,667,031,031,441,870,111,891,822,565,403,956,589,452,
496,885,440,506,566,548,295,613,592,024,150,559,603,002,008,987,830,762,427,
499,995,392,050,499,583,736,338,565,706,845,528,619,266,189,679,749,734,182,
371,826,622,615,604,304,447,947,748,642,229,467,489,302,440,709,775,719,214,
595,746,596,080,156,271,961,900,673,234,891,627,578,936,248,985,357,304,366,
464,848,821,569,457,346,051,378,781,102,577,309,111,851,444,995,076,414,838,
219,696,471,294,726,671,235,057,549,551,969,011,003,082,332,166,755,157,679,
113,864,298,725,125,442,115,045,972,443,767,721,281,537,480,468,712,074,754,
517,776,308,487,934,823,179,031,135,464,551,507,666,927,396,353,288,449,647,
113,496,189,807,737,743,239,935,439,137,547,279,489,593,537,047,845,456,327,
262,887,422,921,717,515,070,081,593,613,962,999,667,979,284,677,965,249,718,
766,537,196,346,107,476,760,089,722,677,120,951,228,793,789,561,011,517,456,
396,201,965,339,255,953,196,635,908,224,887,744,432,212,313,150,392,655,754,
359,628,528,565,048,332,463,885,966,454,836,543,827,511,436,527,078,094,592,
999,992,421,287,208,180,883,122,594,116,388,036,011,341,345,644,547,137,692,
782,981,603,186,044,720,430,731,961,530,489,178,333,662,897,013,372,836,566,
876,685,077,309,878,675,026,971,753,877,118,135,790,369,024,983,082,955,719,
319,839,328,879,791,741,078,875,314,992,586,271,083,110,468,816,649,811,659,
028,453,582,102,675,382,608,784,252,594,844,194,013,228,082,386,467,755,426,
688,364,083,002,842,283,958,828,597,758,488,230,658,233,517,827,676,520,433,
224,576,546,179,798,402,164,805,625,808,734,818,641,321,593,471,451,509,964,
412,573,640,501,513,229,088,391,044,521,505,491,085,249,729,128,700,560,521,
874,990,207,391,106,897,213,644,637,497,485,347,193,363,647,814,834,940,619,
961,937,623,969,313,025,818,883,878,101,395,045,304,163,793,544,691,045,088,
264,294,847,549,287,912,767,311,203,336,835,999,941,688,586,542,792,765,688,
220,334,295,092,147,268,904,009,888,051,251,601,958,795,339,785,043,858,048,
837,455,427,900,633,852,451,163,868,394,339,055,258,135,351,359,189,011,873,
206,702,446,734,210,552,059,530,608,478,782,236,449,548,405,034,840,699,761,
789,068,816,539,499,699,394,634,570,557,089,417,814,948,454,472,567,624,607,
127,828,209,248,249,369,848,991,358,134,947,644,297,109,359,179,219,998,567,
755,508,738,643,483,955,730,425,771,636,362,385,889,151,733,263,107,112,494,
590,724,618,817,685,873,744,340,101,102,834,521,258,505,243,389,903,778,489,
050,579,431,796,299,115,215,089,766,577,625,393,259,706,175,014,428,835,248,
296,902,136,592,019,455,079,190,507,038,267,829,867,310,064,212,835,948,734,
652,900,273,426,774,584,143,538,393,610,654,493,861,593,678,554,581,119,439,
650,173,904,387,231,635,168,523,293,653,594,136,581,466,074,006,775,197,470,
949,083,008,676,883,053,254,642,668,317,119,740,427,539,204,505,011,483,458,
053,266,279,060,132,621,701,599,084,513,996,693,295,586,964,523,744,180,607,
406,758,650,491,056,081,249,263,893,958,431,074,412,677,454,042,741,138,250,
687,901,469,333,133,832,317,180,030,522,923,936,468,588,838,659,341,931,280,
483,598,320,220,695,467,979,970,306,086,170,119,779,960,873,517,435,250,283,
323,646,121,928,365,412,641,867,019,087,930,155,426,687,160,061,091,021,489,
637,410,064,684,294,398,180,732,013,516,719,027,430,985,215,517,344,213,678,
159,230,543,647,435,477,660,495,400,873,452,570,247,324,240,964,889,053,716,
357,268,967,073,809,412,055,953,597,159,255,527,057,130,076,286,966,933,731,
140,762,934,489,014,423,854,470,314,697,385,597,665,749,833,720,600,995,950,
538,707,810,275,614,819,214,453,370,841,962,840,436,435,220,724,620,337,850,
680,639,434,168,973,376,208,221,743,122,553,201,874,391,715,135,434,173,535,
534,799,430,284,351,761,842,351,630,243,865,297,243,032,688,564,356,945,492,
622,128,704,415,243,711,119,879,314,743,125,716,002,112,747,327,339,531,844,
632,989,288,841,290,461,250,755,808,007,024,718,713,640,001,418,796,678,730,
347,450,141,348,686,725,592,100,722,385,004,347,843,814,112,160,368,952,691,
088,839,058,498,280,495,187,937,119,212,849,167,318,736,342,981,350,958,205,
973,762,390,013,990,135,298,134,707,532,617,233,917,227,042,470,377,568,741,
308,049,826,848,708,831,935,871,661,548,462,363,794,750,033,535,068,056,129,
916,617,599,313,043,371,292,602,296,375,584,254,163,162,101,488,725,716,214,
593,032,858,524,670,307,310,002,612,690,339,856,429,570,330,288,147,807,437,
970,465,346,321,621,472,526,621,585,199,387,408,286,080,065,050,210,692,344,
128,687,525,785,770,415,781,014,896,657,239,312,869,140,133,797,526,735,127,
807,695,198,444,991,045,821,635,958,186,206,114,786,622,555,596,033,880,387,
271,289,850,871,597,376,411,371,842,238,438,291,237,095,638,024,250,543,751,
414,408,435,246,816,880,206,679,897,492,054,188,439,793,168,472,547,822,416,
263,716,177,618,647,266,962,490,256,110,495,059,037,842,421,460,395,804,690,
579,923,939,583,491,062,902,952,562,187,685,039,001,036,325,244,173,493,202,
239,342,929,255,627,648,857,695,673,815,965,942,586,075,359,650,019,776,778,
097,721,412,923,220,196,988,791,919,213,591,897,201,746,602,691,676,215,013,
758,921,066,326,537,788,826,206,563,198,396,152,588,850,504,494,551,781,815,
917,560,779,539,246,334,622,658,869,564,127,105,182,078,796,699,540,683,676,
633,685,563,186,152,975,004,830,705,157,713,044,126,468,983,039,936,969,022,
318,854,541,198,858,904,717,626,522,931,053,088,658,043,575,403,671,988,066,
955,169,170,630,843,079,583,665,557,236,985,889,268,005,118,766,350,517,522,
933,222,773,067,560,153,198,180,399,868,705,239,783,793,656,844,298,605,435,
572,219,205,808,270,464,997,001,842,937,804,265,287,070,549,149,654,699,605,
799,195,020,775,198,834,165,240,902,480,762,348,867,165,810,074,057,019,952,
699,590,048,730,771,558,088,087,459,322,912,035,442,726,590,206,880,412,093,
668,833,309,248,285,395,611,336,953,595,699,737,251,622,335,289,726,202,575,
004,283,648,327,242,325,730,907,313,555,299,936,085,018,344,957,627,537,975,
058,717,747,052,290,185,623,141,567,920,695,863,386,641,238,560,755,266,487,
087,908,289,233,760,000,773,860,604,824,934,161,975,988,993,809,749,430,210,
713,720,632,089,308,987,264,355,481,810,536,867,491,014,039,172,525,069,344,
519,451,680,593,492,942,863,814,467,007,300,754,649,135,282,111,664,303,443,
694,196,478,895,089,450,459,177,690,491,565,484,843,688,303,159,747,737,255,
613,721,215,455,073,041,990,473,369,936,726,146,722,847,857,223,018,945,760,
547,956,676,154,499,999,459,733,127,390,234,181,924,066,780,143,957,867,152,
076,340,285,129,666,793,669,635,453,822,069,050,167,382,824,853,492,110,624,
248,225,685,552,763,957,966,869,867,137,340,660,536,437,849,421,408,007,591,
652,062,633,705,385,736,080,951,225,191,896,989,810,823,111,668,423,434,917,
699,741,320,974,495,375,409,663,371,017,568,514,155,685,600,277,692,755,589,
224,416,221,130,696,566,094,630,400,482,014,079,089,713,201,184,828,249,070,
581,246,106,039,136,646,035,822,730,423,250,198,681,888,556,874,483,159,034,
260,821,578,302,039,601,662,473,683,651,940,554,789,882,192,202,839,237,465,
372,431,829,311,330,046,639,297,632,407,059,764,765,382,079,712,864,391,676,
699,990,739,157,015,558,966,974,091,672,895,021,496,027,450,492,027,287,770,
786,721,510,579,527,776,366,510,463,397,043,033,468,506,313,772,334,061,946,
618,167,182,565,041,854,396,912,454,275,170,856,875,041,933,566,991,387,234,
209,542,439,310,528,016,138,365,426,615,584,997,766,601,913,281,439,599,217,
242,707,150,580,154,026,009,702,333,742,543,731,824,372,892,772,969,679,452,
202,179,414,547,983,221,349,713,088,633,380,391,610,341,311,540,219,557,208,
757,162,295,243,454,581,697,902,808,965,654,923,426,315,105,634,516,748,848,
971,056,082,139,531,892,806,937,757,812,027,792,028,042,807,972,812,858,311,
617,997,611,043,074,521,053,011,922,909,335,723,979,852,462,065,421,467,329,
065,436,787,508,112,885,351,602,529,192,996,453,647,778,990,727,125,273,987,
561,976,926,315,121,753,994,130,246,476,149,257,627,552,543,964,813,300,690,
638,308,989,817,025,008,003,271,404,483,428,212,797,080,405,466,792,996,594,
911,914,577,324,373,641,263,823,527,994,721,423,394,309,717,348,720,946,370,
224,959,572,725,808,851,786,009,089,882,028,969,391,968,201,499,212,729,859,
245,048,390,830,768,771,162,136,576,917,590,614,787,529,887,322,028,706,199,
862,767,321,686,661,979,025,054,463,413,357,015,160,184,710,286,954,638,355,
770,458,033,900,877,674,255,810,987,173,934,800,013,734,500,655,695,082,781,
413,270,184,777,046,376,919,322,704,746,662,540,423,863,095,649,217,470,824,
627,626,675,450,519,089,287,669,637,615,427,750,025,384,753,582,065,687,845,
863,096,247,246,631,443,290,925,427,682,269,634,330,857,777,319,371,858,559,
773,752,759,608,928,888,924,153,163,343,852,038,784,086,140,101,348,463,544,
774,194,074,191,055,812,921,619,300,795,334,803,968,130,618,989,278,158,332,
928,502,942,472,342,628,212,913,067,126,344,078,791,935,408,962,799,623,580,
495,599,953,135,631,903,807,790,118,883,231,460,375,852,315,193,956,561,532,
179,080,335,073,380,860,048,025,434,358,478,134,198,346,610,246,800,867,870,
323,867,703,196,805,455,911,587,051,242,964,034,076,535,863,781,646,088,979,
160,231,045,916,938,320,458,399,284,719,005,015,569,091,847,444,944,781,974,
374,903,233,099,559,125,049,471,843,991,650,525,152,574,706,224,741,251,533,
395,666,621,313,243,359,021,530,745,987,436,810,812,655,003,556,769,063,354,
587,773,643,874,718,967,786,215,228,614,305,424,709,811,804,186,441,846,327,
547,037,727,220,396,968,826,906,101,809,234,407,125,625,155,314,618,786,050,
741,047,992,220,146,304,055,332,079,830,065,108,887,365,741,025,242,533,141,
621,004,295,812,091,576,182,009,723,423,871,467,391,459,184,549,059,585,579,
808,876,718,441,150,170,077,841,329,213,407,391,026,403,253,562,337,187,836,
994,904,895,304,818,606,532,149,199,202,510,477,028,211,670,807,176,320,213,
305,713,113,786,383,131,411,859,538,321,965,991,795,277,932,878,757,118,013,
263,359,563,440,920,125,478,850,939,927,442,830,784,121,797,188,294,658,735,
319,925,017,298,849,768,844,426,207,555,099,327,079,748,971,739,544,694,742,
575,531,590,495,039,734,742,129,864,064,077,485,297,987,418,048,221,869,880,
422,525,078,310,733,328,303,969,261,318,220,824,247,210,563,838,460,365,110,
485,686,240,269,124,800,461,648,680,356,203,121,078,191,548,855,622,420,250,
140,378,239,229,915,635,475,091,061,576,461,464,249,922,592,515,151,585,183,
309,762,492,862,339,709,317,310,142,557,830,482,808,808,197,122,306,883,781,
088,869,313,260,806,091,697,824,756,632,449,903,365,189,062,380,536,737,178,
851,171,390,924,095,061,132,236,106,508,106,752,934,077,408,104,592,957,356,
338,497,814,617,711,556,457,328,780,759,033,727,377,620,306,624,334,005,351,
907,497,787,150,679,468,520,890,029,320,604,702,760,258,798,776,835,999,513,
310,372,869,868,774,518,415,498,045,484,110,417,006,031,453,949,085,756,146,
607,627,046,752,160,628,136,114,327,174,425,420,066,153,001,358,226,687,018,
598,363,081,054,025,784,819,744,390,102,407,677,426,594,539,280,801,885,652,
432,307,231,689,715,818,228,351,915,057,563,729,957,177,125,621,033,619,897,
015,433,526,510,671,303,271,076,066,098,264,918,246,930,528,211,849,627,128,
590,653,198,143,295,813,825,277,864,692,496,080,627,475,728,075,323,015,078,
543,386,179,587,011,342,619,022,344,969,697,500,998,971,286,886,370,650,821,
322,552,056,326,345,656,458,223,861,868,710,605,711,933,673,016,506,587,046,
260,903,893,547,861,305,024,382,085,283,763,595,842,461,440,111,216,476,708,
945,716,487,748,608,670,854,740,527,838,355,262,822,971,875,048,452,208,439,
445,805,493,523,267,223,229,858,506,311,130,000,883,228,891,676,087,679,010,
542,473,710,736,977,056,100,557,734,805,811,463,291,055,727,079,175,922,701,
373,164,658,173,476,778,567,325,936,899,946,598,242,836,910,575,114,236,918,
007,052,818,599,713,099,363,920,310,260,002,316,812,435,053,249,776,439,045,
243,037,555,149,810,222,297,463,576,774,419,721,809,522,066,330,111,678,729,
724,398,313,593,029,344,647,499,668,881,826,232,610,804,440,645,913,143,525,
123,628,908,535,113,417,563,063,687,675,086,647,896,149,406,612,102,483,463,
558,872,894,495,016,405,616,714,074,733,038,411,379,301,678,724,346,369,007,
252,810,260,293,524,694,529,311,867,023,254,607,603,030,368,172,468,436,849,
858,241,316,643,409,587,404,088,259,745,229,228,155,564,006,454,958,005,535,
983,610,575,877,554,918,757,357,165,797,178,043,322,908,259,481,810,719,458,
482,833,776,070,924,251,229,120,305,365,275,973,691,397,813,483,706,125,971,
684,867,785,719,738,440,265,099,690,796,575,686,986,999,659,729,967,937,363,
216,866,483,082,267,930,834,698,485,458,574,014,619,744,091,105,211,125,606,
465,914,228,572,728,022,840,551,304,792,362,482,630,210,124,230,309,071,033,
927,463,645,535,263,025,657,926,375,929,990,325,988,857,907,473,992,725,870,
627,978,093,443,514,216,251,870,082,504,227,761,207,183,322,021,340,981,292,
705,212,546,608,688,842,045,613,166,485,041,257,165,316,028,423,436,948,975,
637,671,086,676,474,816,660,989,198,480,796,525,011,650,734,962,127,105,547,
605,082,808,201,318,490,103,671,935,296,193,452,088,820,959,464,659,572,398,
969,752,643,815,894,933,422,209,974,244,864,869,357,293,244,996,112,551,552,
489,213,633,010,199,743,605,349,844,509,859,642,765,823,040,621,100,227,629,
603,404,861,390,836,450,199,968,707,510,090,098,101,467,351,659,500,381,375,
531,742,809,338,916,782,304,385,748,539,155,494,896,077,096,093,889,337,678,
315,833,420,367,574,114,204,900,177,393,915,470,199,734,354,494,544,464,997,
190,592,827,235,989,965,361,391,026,078,099,057,954,565,396,348,388,111,297,
305,884,680,552,041,677,136,248,447,517,388,403,837,803,328,215,774,993,752,
539,101,908,816,011,302,869,165,912,716,793,115,108,119,629,296,082,948,811,
565,457,163,786,844,469,323,173,597,116,502,147,473,293,815,532,493,464,359,
899,921,917,949,916,652,220,174,597,052,578,941,563,293,883,979,205,512,776,
969,500,924,813,529,389,528,809,238,857,455,310,508,179,621,559,127,768,755,
383,893,167,573,876,414,741,619,589,472,595,374,958,330,831,828,919,013,090,
974,960,458,697,517,388,803,438,452,290,533,899,893,314,898,265,239,575,798,
921,065,386,617,445,568,338,555,865,643,592,467,779,501,131,661,562,627,241,
569,516,069,361,126,563,136,514,121,062,583,705,146,953,730,982,426,670,004,
586,331,162,500,436,741,217,189,349,906,766,095,267,591,086,306,146,600,301,
026,427,959,901,571,343,003,918,695,587,990,981,501,809,862,102,223,922,756,
834,023,469,722,476,678,720,066,761,416,814,670,855,003,450,339,160,854,031,
729,324,800,612,841,454,133,023,328,923,648,615,368,202,339,543,725,111,716,
111,992,546,856,280,108,463,757,669,644,755,343,197,389,754,835,508,163,478,
632,590,160,645,505,087,155,821,666,282,382,419,016,271,848,219,131,501,703,
529,888,176,458,391,612,148,889,468,020,225,043,607,260,023,317,936,911,540,
357,446,070,760,916,988,139,367,441,412,112,793,832,075,779,115,010,893,434,
198,849,806,560,084,814,011,684,808,942,491,058,854,517,861,437,261,170,009,
906,372,847,695,935,301,037,721,051,163,851,101,240,041,253,416,201,825,124,
215,256,527,787,473,508,983,271,168,821,655,093,761,915,102,500,482,118,865,
794,730,742,138,625,755,311,235,707,800,496,148,855,111,635,031,399,296,504,
279,831,012,418,359,380,203,475,452,553,379,091,594,195,019,413,020,470,545,
816,057,632,023,037,094,837,965,933,683,868,777,771,835,783,270,308,740,715,
812,544,157,469,485,791,838,959,021,106,813,805,837,405,486,983,478,140,357,
312,911,373,781,966,596,673,654,246,409,496,789,599,586,395,107,216,089,083,
726,751,182,661,930,008,154,329,301,582,387,733,864,267,742,214,852,346,750,
285,044,726,638,347,248,717,596,301,707,396,766,785,975,061,289,097,278,415,
773,855,064,890,450,433,134,433,515,295,161,102,947,212,580,288,064,814,704,
069,502,533,841,557,675,260,251,593,137,233,407,573,472,161,187,929,463,280,
734,576,160,616,978,354,901,892,336,968,617,273,998,122,996,093,758,162,375,
395,533,869,523,027,570,069,427,758,895,279,461,358,251,834,715,901,258,864,
371,377,621,740,596,548,325,967,303,792,623,696,888,748,340,223,428,821,022,
002,407,732,733,883,581,669,193,718,313,473,335,985,072,678,592,350,103,847,
481,605,110,546,031,643,717,354,294,574,429,859,438,404,459,292,335,443,968,
428,046,696,422,831,297,518,650,126,821,679,583,602,907,458,733,496,811,059,
307,749,949,084,203,892,601,289,501,820,521,319,620,243,115,179,900,419,387,
236,357,725,979,655,281,685,300,909,765,747,148,602,425,849,833,972,223,764,
361,231,091,738,357,772,788,190,319,988,094,851,116,174,057,962,766,057,718,
842,208,444,939,160,395,076,040,011,842,560,075,708,845,058,482,541,901,089,
781,222,681,125,134,764,516,241,578,764,518,308,754,398,732,377,089,059,714,
156,693,185,607,722,171,696,462,842,850,078,186,972,606,991,825,463,233,594,
572,294,073,368,377,549,660,042,429,458,774,973,623,506,923,699,860,542,000,
798,808,476,081,513,494,530,564,447,152,044,181,638,268,917,639,004,990,630,
152,891,942,377,556,149,680,023,554,177,288,104,749,099,242,183,260,820,109,
228,198,704,184,247,823,268,177,209,499,072,356,473,665,824,703,407,931,986,
029,704,460,870,614,239,263,444,892,254,913,532,144,864,937,584,852,698,710,
196,497,500,385,986,847,640,192,528,873,214,081,496,482,999,583,155,818,851,
306,711,992,579,444,235,645,938,114,765,695,451,147,906,642,719,125,500,185,
085,480,373,072,303,830,741,485,275,724,785,844,489,464,247,515,601,863,295,
077,162,993,173,572,790,417,262,272,265,252,980,086,974,343,334,617,152,157,
247,845,388,042,237,539,854,002,862,341,035,486,940,576,608,876,496,001,520,
264,711,368,458,547,821,907,513,175,482,481,732,508,346,807,843,904,059,837,
139,531,149,581,235,914,533,660,166,180,569,675,322,585,848,257,304,371,927,
913,041,348,750,802,050,505,301,194,148,842,454,791,063,779,577,573,239,642,
933,499,414,824,126,180,520,911,054,508,861,736,442,379,885,679,072,965,476,
387,182,098,115,164,538,026,461,384,658,805,107,079,578,307,733,280,793,992,
601,183,575,207,229,582,923,829,166,353,631,846,690,104,669,965,906,328,961,
908,429,649,642,001,350,524,289,217,779,849,897,018,429,600,428,962,143,653,
336,651,873,851,908,228,442,897,152,129,266,882,950,845,456,268,709,290,718,
833,908,650,160,080,481,977,917,865,513,531,314,605,269,529,917,236,938,406,
446,836,377,355,676,943,019,609,220,115,348,090,054,665,023,660,297,046,892,
858,907,429,761,608,777,158,417,384,673,190,483,033,375,740,241,714,903,921,
761,482,706,230,122,653,102,330,233,296,623,270,713,163,403,960,850,103,891,
212,059,409,113,703,925,996,625,080,971,831,655,261,159,908,710,554,538,480,
658,461,918,608,955,989,074,074,486,620,775,932,024,729,109,812,950,943,792,
317,587,926,073,006,298,028,719,936,189,587,172,625,958,565,376,539,496,719,
637,284,938,076,131,588,896,286,195,967,197,343,127,705,736,593,186,657,611,
212,715,997,214,765,857,672,132,833,239,785,746,796,205,019,831,730,316,167,
374,560,163,266,964,540,108,862,303,587,500,442,524,680,539,915,436,257,931,
080,253,409,094,132,053,374,406,202,498,860,267,012,137,530,585,394,657,747,
874,162,898,907,897,490,577,732,028,532,663,793,825,948,551,619,021,583,467,
957,847,073,745,874,041,767,703,971,670,543,969,876,310,752,231,756,266,667,
603,499,294,758,338,919,374,852,722,437,061,304,090,564,283,867,784,834,089,
680,640,581,751,559,753,425,326,551,169,021,298,367,073,453,545,837,641,790,
484,925,314,471,578,266,271,449,709,291,228,996,634,938,589,558,741,243,039,
728,290,273,380,671,739,602,949,474,407,077,356,278,183,527,145,340,091,178,
878,321,498,983,011,996,516,793,882,936,607,148,301,068,577,265,525,135,507,
230,515,530,185,960,798,381,174,455,136,078,552,240,089,442,986,523,840,597,
384,548,497,043,633,111,890,966,847,832,284,045,085,801,430,219,635,183,290,
339,760,265,782,761,533,019,952,944,583,064,528,701,229,622,493,417,572,115,
114,896,556,964,671,329,321,964,573,603,808,627,107,456,292,232,918,519,135,
804,862,331,776,960,438,669,760,706,074,458,555,657,681,451,250,067,636,228,
625,635,702,125,229,357,390,890,113,532,402,315,947,935,122,088,720,421,383,
200,085,958,257,235,878,352,927,057,146,074,091,189,111,530,839,188,199,722,
842,575,775,504,370,368,164,493,985,370,201,292,706,920,264,170,290,300,244,
049,375,706,164,427,529,657,814,689,481,849,436,561,977,806,768,436,020,705,
642,500,280,614,627,417,272,769,440,350,686,557,511,064,956,798,322,163,550,
514,630,807,664,149,214,228,068,709,994,998,459,215,196,691,539,356,358,276,
826,317,243,985,931,441,900,487,994,201,128,763,747,628,428,930,186,948,717,
455,029,055,427,884,025,468,023,969,346,446,985,082,268,932,336,662,919,178,
097,193,236,134,310,797,128,445,798,890,636,464,296,783,285,695,905,372,027,
886,390,719,918,579,418,137,399,715,496,208,833,114,319,469,505,439,486,515,
756,710,156,993,625,824,178,114,624,137,913,238,438,943,240,172,197,637,652,
667,851,880,883,464,403,927,061,236,558,935,819,438,225,749,258,155,732,748,
298,304,980,504,613,529,200,442,378,290,365,648,947,546,625,480,078,628,861,
876,805,746,184,829,420,390,682,212,042,488,463,007,873,565,411,770,792,301,
023,168,393,163,152,746,375,885,893,383,439,695,780,915,184,936,695,072,066,
032,648,249,328,086,178,334,184,134,176,177,063,022,678,004,802,850,509,255,
983,039,887,190,266,773,148,876,462,482,074,061,283,390,579,048,091,854,621,
553,288,795,178,168,694,513,401,324,804,557,787,061,965,002,318,765,005,892,
660,772,667,571,852,405,160,480,595,351,428,801,409,136,950,075,343,713,398,
324,543,499,530,612,840,198,231,324,237,364,655,048,232,499,597,175,711,596,
619,186,634,566,332,513,656,321,726,120,491,722,221,214,560,319,074,042,563,
172,517,690,320,374,974,831,091,549,285,302,717,471,446,375,848,361,144,398,
695,097,206,441,258,724,390,557,996,371,806,551,030,473,170,865,835,294,642,
015,073,503,388,972,461,443,715,886,688,366,520,712,077,291,876,467,477,805,
911,450,534,068,000,643,147,789,792,238,785,483,996,336,693,325,832,957,196,
178,009,108,166,900,715,120,126,151,771,987,128,713,304,584,238,297,598,111,
997,347,881,398,741,344,689,927,655,122,498,680,355,017,127,627,238,444,380,
202,846,066,929,160,395,158,791,626,221,340,342,310,107,526,834,869,099,832,
158,291,263,088,518,828,621,488,681,095,656,136,111,883,739,666,613,499,980,
578,041,934,073,504,363,589,028,506,898,572,672,237,629,967,257,472,483,387,
906,814,559,290,027,603,242,025,897,134,175,585,041,190,341,683,917,263,546,
184,983,837,676,354,887,348,082,382,011,418,890,230,087,281,787,451,571,357,
293,604,128,054,396,374,275,798,737,701,217,024,047,293,103,971,527,030,257,
078,239,387,782,498,723,944,815,643,643,260,570,200,645,464,321,561,737,697,
334,606,954,901,422,336,764,664,085,028,294,487,685,101,649,900,560,414,549,
915,519,582,568,060,331,901,842,618,920,378,948,147,147,845,706,524,642,499,
764,541,401,621,365,187,899,650,409,478,322,536,860,359,080,752,578,867,538,
914,332,495,539,180,694,412,226,850,847,379,992,141,964,603,288,088,238,341,
295,339,506,502,939,979,064,433,426,203,087,951,238,347,852,184,236,473,633,
558,433,095,021,507,809,650,407,620,117,378,418,923,306,501,480,208,408,445,
626,932,324,533,733,941,377,816,261,404,687,704,217,399,048,519,302,366,374,
332,364,686,110,386,368,879,836,957,544,343,466,962,137,749,983,905,969,831,
408,342,406,050,655,661,525,427,997,631,720,308,510,885,491,515,457,064,172,
532,455,128,923,565,747,297,650,202,190,408,261,705,900,160,078,217,442,243,
291,153,678,894,994,795,300,256,146,315,693,682,412,792,518,682,054,987,749,
563,680,969,508,878,211,762,533,100,211,182,373,330,393,946,502,854,796,098,
587,654,885,091,804,311,698,380,931,091,970,434,643,523,232,532,298,642,206,
095,355,154,430,628,727,622,984,794,158,017,316,106,921,976,319,298,101,023,
443,805,714,147,495,869,398,497,128,780,574,018,277,078,181,635,153,152,825,
197,508,858,340,315,984,654,523,207,720,523,231,903,507,914,590,793,265,863,
533,092,037,867,552,406,037,312,816,759,060,903,598,424,524,157,975,206,683,
173,112,987,057,207,924,430,847,956,351,155,356,432,645,274,514,104,695,010,
453,427,137,010,372,024,928,350,175,245,135,283,598,077,487,139,121,028,210,
859,988,103,666,632,621,608,158,845,465,335,073,633,654,528,889,792,662,802,
886,536,868,953,551,391,067,866,698,675,784,391,962,559,709,074,312,807,987,
563,848,639,769,368,323,951,152,882,011,603,654,629,208,177,502,827,376,123,
513,860,410,984,349,657,130,878,805,795,238,419,074,548,370,135,489,269,345,
190,614,080,259,006,605,189,238,516,740,724,504,729,328,914,938,449,560,039,
815,344,328,305,744,235,136,400,048,566,441,533,918,365,205,749,887,509,887,
714,182,286,170,730,497,947,001,743,921,737,083,085,967,309,541,960,725,820,
700,603,228,451,762,589,514,698,810,952,823,967,950,381,692,914,547,601,318,
664,772,086,000,718,488,312,259,465,389,790,758,536,253,132,281,761,775,652,
189,124,966,443,785,606,347,057,673,799,878,834,501,444,232,566,159,066,481,
908,601,621,778,660,685,630,253,059,408,554,183,989,998,368,823,866,893,249,
606,196,228,900,172,356,287,625,375,137,847,595,239,544,790,263,810,025,935,
565,021,866,990,810,261,856,891,701,256,497,947,343,059,498,339,276,962,231,
917,325,100,766,462,937,582,772,132,127,663,658,899,805,345,607,327,801,288,
231,571,927,324,643,439,488,212,036,820,353,546,520,510,874,436,612,470,876,
426,393,856,104,067,586,222,711,029,666,258,151,019,507,415,871,489,582,841,
555,551,222,795,687,533,355,391,784,622,977,091,171,348,697,960,559,965,777,
703,571,096,544,387,177,799,296,516,037,089,407,035,625,464,115,076,259,897,
897,523,952,161,462,392,706,454,032,286,124,401,336,790,751,398,524,645,314,
098,585,253,367,213,085,667,808,298,201,805,301,733,377,205,549,106,580,810,
893,155,869,506,682,401,239,186,679,684,408,800,605,001,711,537,611,081,810,
618,544,896,010,762,957,764,880,358,597,602,263,425,062,772,283,783,002,147,
905,099,906,466,199,379,185,770,495,870,425,994,950,183,294,390,540,135,042,
532,591,429,733,962,223,092,579,170,880,856,134,288,898,275,967,867,081,025,
932,486,621,285,645,090,991,068,888,483,403,864,314,621,375,817,708,228,272,
389,601,313,757,923,041,337,882,610,178,148,738,859,658,666,557,520,093,660,
918,627,309,361,802,609,574,973,474,020,437,471,403,584,765,282,867,915,713,
318,612,174,891,569,456,598,932,902,795,600,042,693,660,643,336,513,395,368,
862,970,973,950,070,162,521,656,552,899,738,227,152,828,493,327,385,920,616,
742,853,746,264,479,768,628,485,849,180,684,043,981,183,817,830,677,389,466,
296,809,857,079,904,157,583,574,011,105,147,357,244,562,540,502,551,254,133,
722,962,949,146,040,703,484,658,868,721,614,028,773,429,632,367,124,462,389,
261,856,524,481,025,294,755,690,162,037,057,518,688,836,312,463,403,017,321,
838,487,143,181,652,028,916,224,704,447,973,849,976,687,463,718,157,890,182,
446,830,778,324,982,286,018,043,229,192,538,178,410,639,832,946,861,248,009,
322,732,738,519,482,412,795,862,044,531,700,099,283,351,838,206,005,550,809,
642,695,627,929,566,506,876,621,026,313,146,799,471,539,494,176,791,079,994,
113,138,229,207,428,864,603,552,097,861,515,932,200,629,050,740,127,029,081,
466,356,024,086,468,144,133,366,286,311,823,047,995,824,814,819,980,947,623,
282,779,770,722,956,100,045,485,743,468,963,569,510,047,274,394,511,395,005,
726,181,272,529,935,574,323,036,429,287,197,832,063,322,181,014,497,104,878,
634,353,571,335,713,004,603,175,934,035,877,272,823,913,711,654,296,695,051,
121,821,307,429,113,671,600,704,215,114,579,924,066,455,979,323,007,005,298,
759,701,221,908,714,490,201,557,479,080,630,210,046,480,320,609,223,094,009,
196,120,971,557,834,392,617,917,861,128,052,888,166,514,349,698,605,304,358,
784,252,977,638,701,692,619,787,333,862,900,636,086,008,629,658,711,444,791,
276,650,658,150,411,386,988,512,805,906,134,319,583,494,466,571,129,987,098,
827,122,522,012,329,036,505,838,380,209,280,849,200,910,880,957,497,820,306,
208,858,685,484,897,472,948,781,393,450,016,521,826,130,714,888,559,253,325,
345,755,816,549,783,912,304,121,969,817,251,106,422,437,826,047,605,897,069,
247,045,319,423,414,647,703,169,361,348,362,950,789,630,998,372,616,478,311,
395,090,463,558,182,699,835,446,945,995,323,722,512,799,426,485,086,366,220,
052,258,582,033,228,701,050,936,439,037,474,067,431,865,033,469,970,601,038,
650,654,995,144,536,807,494,512,441,148,021,387,409,068,548,482,330,494,064,
061,210,034,690,150,861,939,528,165,903,256,635,229,059,846,109,337,305,401,
362,476,586,134,460,218,183,299,697,668,663,541,381,730,272,548,618,415,787,
719,963,010,608,241,184,639,525,388,619,688,559,224,087,055,780,710,092,892,
116,822,124,711,802,999,300,849,430,089,773,638,829,819,433,015,936,262,253,
825,861,839,637,224,971,498,793,260,548,275,702,198,575,438,103,581,611,584,
840,364,655,886,380,232,815,777,558,444,280,266,406,183,751,771,073,728,500,
524,129,205,056,346,669,810,002,841,387,482,531,056,747,036,041,012,023,597,
555,769,074,586,170,166,020,494,017,885,478,248,407,385,732,584,565,339,379,
626,342,113,956,749,969,834,649,258,352,299,162,138,722,245,866,825,805,798,
290,844,728,757,509,663,295,326,533,295,963,649,779,337,491,897,600,810,875,
881,090,490,509,009,489,748,063,241,603,102,174,109,059,913,193,961,450,533,
591,248,731,285,267,745,154,569,056,934,544,532,214,355,477,062,203,385,218,
328,957,524,348,039,519,531,080,658,618,338,263,283,087,115,589,865,671,882,
957,291,993,084,354,122,112,852,026,146,338,098,199,007,258,803,568,611,291,
068,760,996,763,166,709,282,033,355,813,429,450,371,631,792,003,487,890,039,
111,945,262,445,247,444,002,234,959,754,758,559,056,912,250,817,084,304,894,
671,485,716,961,549,707,405,366,371,681,566,379,835,079,669,467,377,534,744,
262,315,430,176,476,988,962,888,077,200,527,033,286,692,229,180,329,360,565,
095,172,654,368,726,378,956,866,980,742,325,787,817,511,963,910,755,433,418,
659,437,490,633,765,907,153,232,576,353,037,596,244,491,149,932,478,425,904,
299,885,074,921,906,158,515,095,090,897,473,910,004,741,791,122,523,553,612,
074,599,953,887,225,471,807,589,613,497,384,461,766,484,143,751,330,092,858,
123,243,336,653,196,946,845,008,614,128,110,054,373,778,652,577,213,556,266,
900,470,062,032,556,748,295,509,133,716,093,823,906,657,878,710,456,224,887,
866,601,679,802,902,894,419,343,044,817,691,575,871,296,717,902,549,138,257,
647,720,370,786,395,422,470,011,500,063,855,652,830,163,026,159,490,196,069,
578,743,344,004,506,424,206,256,608,617,168,403,835,589,572,351,347,753,195,
194,884,148,254,480,665,570,173,997,481,376,506,754,526,168,310,492,762,015,
314,884,413,550,552,099,421,844,527,800,667,327,234,958,520,380,678,309,089,
407,769,627,371,879,885,122,222,789,122,964,019,627,228,552,302,548,158,648,
188,493,169,299,220,624,277,267,096,923,650,612,109,299,423,370,494,904,586,
519,986,238,184,811,005,072,107,590,404,678,539,218,136,904,260,173,477,503,
041,696,566,360,376,219,140,461,418,303,570,088,434,146,122,822,298,362,246,
612,635,857,470,135,717,109,071,001,953,804,496,932,644,148,628,100,883,304,
477,791,320,649,200,224,720,144,204,010,272,508,883,915,871,097,825,944,972,
688,014,177,711,165,063,742,561,742,435,617,199,509,995,789,277,039,986,140,
211,169,488,611,070,559,077,887,948,725,037,434,620,716,525,602,959,005,970,
982,000,605,053,010,501,529,888,453,052,693,107,063,751,220,185,093,563,009,
602,809,109,513,567,060,881,155,914,207,568,086,411,590,328,735,673,654,472,
378,630,735,426,085,277,223,391,717,151,307,398,004,635,408,528,366,584,776,
654,976,480,199,329,789,213,029,200,177,419,733,367,613,889,491,989,754,901,
858,576,313,898,347,543,172,484,089,448,461,722,106,698,682,179,433,522,709,
998,061,636,072,996,632,941,939,503,708,226,819,688,986,882,427,668,528,064,
244,373,326,176,172,876,608,776,619,153,782,935,194,504,776,293,979,474,829,
398,951,210,342,862,051,048,760,475,806,983,405,131,608,665,746,733,114,980,
090,944,893,583,710,112,002,031,249,650,398,797,785,287,474,327,365,378,899,
533,992,999,126,426,522,098,672,797,666,569,635,209,968,218,871,071,667,049,
729,293,220,370,453,199,902,299,738,440,606,887,430,441,942,727,001,411,155,
263,127,923,436,016,705,337,922,298,338,980,920,698,053,465,119,619,317,363,
875,306,439,182,841,304,122,296,216,773,312,431,438,379,816,608,572,918,861,
054,820,641,707,412,636,195,303,704,499,631,157,526,643,634,428,579,164,380,
398,652,333,905,859,833,331,992,045,541,218,136,236,999,074,980,324,268,571,
392,188,257,481,162,901,935,793,812,860,862,989,476,708,309,642,077,983,539,
610,259,247,388,288,050,516,615,201,461,157,057,680,094,890,007,400,824,434,
714,514,053,009,679,544,198,548,240,196,810,776,266,698,581,988,902,166,340,
254,896,637,192,877,574,399,518,400,561,795,098,391,285,226,965,527,959,362,
072,046,912,912,702,918,325,054,319,256,293,308,004,909,303,387,798,622,944,
601,496,464,232,969,737,137,635,862,814,035,586,079,064,947,570,432,554,085,
321,306,392,025,753,018,335,452,101,663,707,414,102,043,945,884,883,308,276,
346,746,551,361,453,952,436,953,084,261,341,878,453,550,537,439,445,000,100,
822,107,558,470,820,568,335,799,278,762,832,091,696,986,205,535,819,171,878,
164,990,419,711,545,620,930,135,835,354,305,148,012,491,684,516,735,577,561,
979,843,278,050,725,962,302,624,889,330,267,004,239,469,978,454,128,657,367,
787,434,835,945,402,313,038,925,816,456,371,474,282,382,668,178,033,668,301,
863,346,610,852,152,904,388,298,538,430,974,632,473,153,236,136,453,072,699,
493,225,017,760,299,987,542,808,930,929,812,313,557,188,731,335,459,971,534,
612,406,234,319,040,907,971,440,726,243,541,049,909,290,642,328,720,775,311,
089,641,570,523,610,465,985,444,129,806,522,686,313,913,538,077,597,810,969,
768,397,438,334,718,525,690,789,825,044,398,160,557,351,786,410,788,304,547,
017,531,291,178,906,210,384,936,209,487,971,883,454,626,002,015,134,339,981,
571,234,133,819,419,861,982,501,049,271,174,807,233,350,505,631,798,653,370,
120,998,398,213,801,017,526,564,284,057,579,730,045,814,005,001,520,481,653,
012,978,417,630,404,299,222,050,182,351,154,082,592,118,434,922,157,173,933,
624,329,843,924,604,013,958,653,337,789,609,470,766,339,330,273,741,515,247,
296,251,500,684,713,610,421,368,110,254,129,982,917,575,671,143,930,864,149,
507,042,304,531,121,122,221,519,131,245,147,628,468,503,309,650,833,386,484,
415,290,496,829,962,646,352,409,957,715,762,223,989,211,854,398,350,937,132,
128,805,491,032,577,478,945,857,048,232,757,890,344,005,465,266,535,033,341,
222,654,085,630,611,666,638,656,585,755,681,049,816,805,228,995,718,395,573,
149,236,429,970,696,567,355,423,178,171,980,812,611,803,054,602,864,411,779,
962,171,481,512,124,283,690,281,495,042,506,042,073,231,241,479,044,299,213,
390,721,705,521,405,341,492,012,289,872,152,287,308,602,439,494,332,433,644,
601,898,192,400,855,702,063,845,869,545,815,025,179,391,735,276,307,300,503,
666,641,709,845,150,969,982,631,901,443,519,586,251,406,234,793,311,692,240,
214,990,695,942,229,577,041,000,043,266,458,628,438,815,200,988,889,870,160,
896,834,373,120,329,360,926,772,027,334,744,206,308,565,047,617,481,163,829,
739,776,354,614,707,028,805,854,790,069,301,620,771,246,091,203,157,544,316,
803,955,672,977,209,174,082,640,681,183,544,593,753,049,544,711,664,667,348,
019,781,817,536,088,967,193,776,453,957,988,569,107,793,429,657,365,731,680,
303,984,776,465,253,587,876,583,449,924,863,483,762,538,632,403,211,055,537,
667,564,642,582,541,514,208,186,550,470,369,837,707,208,356,170,366,099,341,
032,274,933,151,376,290,256,118,019,545,071,848,098,629,775,744,574,361,223,
630,224,650,448,559,167,203,556,149,227,831,162,263,406,612,135,730,397,726,
768,533,479,594,563,130,483,316,069,910,337,584,307,554,614,619,546,454,413,
006,709,848,540,533,605,085,506,301,201,672,413,547,782,557,578,538,827,754,
906,857,966,009,515,641,033,317,097,809,152,184,124,238,872,041,347,192,632,
381,048,518,817,222,875,890,828,996,462,888,819,358,741,840,885,049,236,014,
216,887,255,804,155,079,031,826,280,237,099,950,159,689,738,312,906,903,918,
426,758,241,167,973,098,527,537,813,731,976,783,374,873,056,098,092,734,342,
233,160,811,753,420,276,733,599,038,348,508,539,831,285,353,006,429,898,459,
553,048,400,392,999,172,145,347,824,513,363,668,685,730,715,507,913,161,770,
143,301,775,821,723,911,264,597,681,521,191,243,652,133,679,285,947,480,367,
996,602,996,587,589,887,858,723,940,904,051,018,161,740,430,635,139,448,013,
389,749,053,895,653,387,940,331,290,804,813,741,692,295,459,807,019,758,648,
450,895,613,154,712,312,173,208,792,851,689,142,906,230,911,370,741,360,897,
634,564,252,838,633,270,590,078,225,474,664,105,957,730,836,717,698,903,483,
423,607,466,999,153,842,762,424,694,457,803,064,911,385,083,028,209,209,808,
008,472,441,118,782,406,815,190,519,336,958,982,455,409,246,415,215,300,739,
287,490,241,485,725,758,528,662,726,536,422,685,226,177,900,416,994,674,283,
602,633,440,699,580,191,348,050,718,745,562,384,905,130,048,759,554,075,280,
430,148,801,227,734,687,572,006,672,672,163,811,456,908,647,026,005,665,321,
748,588,711,741,339,252,114,930,261,545,292,329,427,466,312,313,584,724,519,
615,654,716,241,616,948,724,688,923,381,556,568,577,629,469,393,783,720,532,
154,429,812,470,823,158,524,569,675,665,071,040,613,443,764,423,953,409,444,
653,703,599,611,217,197,937,617,080,739,828,433,867,814,319,161,373,803,873,
916,599,980,783,911,692,577,414,643,817,232,623,128,339,170,456,310,596,947,
737,351,304,325,295,960,101,210,606,850,827,017,145,836,969,767,097,350,795,
524,661,840,489,549,669,285,935,783,171,957,212,621,187,145,799,986,370,738,
136,976,768,795,319,644,342,068,272,318,956,322,013,969,786,643,171,494,236,
232,668,732,455,114,240,346,303,670,590,412,550,919,379,105,940,999,200,263,
436,292,539,615,317,205,329,498,720,154,784,731,015,944,715,308,625,363,418,
121,716,127,860,998,943,744,127,897,761,646,062,818,227,005,871,914,087,275,
752,385,351,013,287,880,969,507,975,951,497,176,532,123,470,646,298,595,947,
316,980,691,180,289,235,897,547,664,623,222,030,801,816,551,454,347,568,047,
481,417,843,543,854,530,596,176,845,903,842,263,556,974,806,610,353,423,540,
657,997,302,622,116,239,043,993,879,797,206,473,134,573,169,534,731,036,777,
885,284,793,997,981,795,553,350,101,521,525,073,507,837,118,627,232,244,880,
430,116,540,175,800,254,145,013,969,953,947,844,813,122,704,738,279,923,355,
249,734,919,011,599,326,089,354,876,525,985,718,161,730,013,411,345,148,475,
298,013,686,805,409,893,466,225,924,015,815,363,895,758,568,283,575,145,913,
452,852,346,751,704,118,911,351,700,757,091,576,371,703,670,547,692,544,147,
090,976,953,138,462,854,353,244,375,657,994,719,083,664,507,437,065,614,452,
251,215,623,066,050,281,974,559,730,068,711,789,906,773,074,752,032,746,794,
485,404,985,933,864,413,288,544,307,387,054,064,038,563,945,508,068,546,209,
432,985,851,162,902,406,689,535,166,879,945,844,493,165,989,884,984,678,739,
520,613,632,812,513,954,936,578,573,270,867,012,806,309,703,793,107,835,534,
984,447,723,453,095,427,910,603,195,973,117,787,716,700,898,394,676,846,226,
347,760,757,229,728,268,605,325,091,357,276,654,640,633,467,186,748,437,827,
912,141,559,604,588,901,281,604,583,379,341,487,444,185,160,440,517,745,017,
137,284,141,112,484,269,194,840,846,042,834,339,872,394,478,899,246,138,757,
968,941,215,573,680,657,804,465,253,973,199,702,703,237,316,568,163,372,799,
055,321,352,674,859,380,811,203,368,116,638,173,505,781,132,286,936,476,237,
869,536,150,538,251,280,538,255,171,250,436,356,465,433,093,434,276,670,936,
433,939,085,518,873,188,241,665,583,894,642,090,830,737,983,567,571,289,271,
611,069,779,343,744,030,049,787,638,556,916,084,620,497,565,256,836,596,199,
598,929,392,982,821,110,754,917,975,853,659,505,314,581,182,115,071,079,878,
418,161,288,300,662,155,239,425,515,652,753,941,335,918,805,256,304,792,644,
980,114,840,542,747,160,072,522,478,427,357,122,255,511,482,462,624,130,476,
430,593,201,780,179,494,820,151,565,461,055,540,899,662,156,261,865,933,801,
747,392,264,986,699,834,601,792,946,581,906,923,614,873,436,920,254,890,056,
133,478,880,685,796,207,280,384,840,836,892,101,631,340,962,749,325,804,143,
101,914,476,529,554,218,926,801,106,053,976,422,447,774,325,881,552,433,036,
616,246,035,059,650,459,477,030,358,431,314,862,874,276,308,513,522,999,422,
851,023,482,483,100,934,981,331,481,685,418,221,932,061,347,361,254,623,795,
198,883,641,053,014,064,447,524,225,617,421,518,281,872,714,240,266,481,910,
312,135,143,969,323,681,185,558,520,954,279,961,008,648,490,069,595,745,940,
855,477,768,970,810,878,661,259,803,920,642,561,620,436,464,884,608,600,007,
722,632,148,264,549,583,061,625,071,879,566,592,460,037,272,157,309,560,063,
242,781,892,450,791,015,799,213,628,500,286,708,994,000,727,640,591,762,283,
731,511,130,760,109,237,713,039,285,375,795,308,488,262,889,564,937,069,563,
939,079,469,882,451,084,897,941,653,781,177,680,191,101,838,998,835,021,038,
626,431,135,437,575,547,603,538,414,831,924,917,915,616,216,532,375,625,803,
951,469,590,918,071,846,997,438,066,094,561,565,455,751,427,678,104,536,500,
614,556,086,389,670,686,527,775,818,750,046,210,088,151,887,151,378,484,825,
780,472,198,977,362,373,529,713,022,716,198,568,726,637,570,243,618,746,837,
220,742,913,675,901,255,109,269,333,489,403,192,939,079,562,816,401,461,664,
954,051,733,113,941,715,571,361,530,782,217,567,893,810,027,615,352,876,320,
012,708,176,532,636,614,023,795,500,415,669,222,761,169,152,598,471,307,782,
797,351,668,931,419,898,588,333,679,129,998,250,267,684,059,689,931,920,602,
749,707,766,174,056,824,135,170,708,368,363,127,560,522,355,365,193,018,404,
098,887,621,457,437,260,358,481,483,161,424,274,988,827,613,811,028,452,717,
079,783,952,930,695,506,069,592,523,762,307,106,401,160,606,495,545,707,734,
341,807,262,959,807,933,174,925,030,565,970,394,442,155,418,156,205,330,352,
542,079,518,124,816,817,743,836,705,290,668,805,806,390,591,828,825,983,992,
331,227,469,241,536,027,503,662,362,536,088,307,239,461,102,324,148,535,250,
652,791,345,170,798,943,919,867,831,546,417,717,264,165,692,345,691,155,592,
594,758,333,367,278,683,323,896,155,619,187,148,231,977,545,412,403,689,312,
940,614,723,313,541,402,163,353,400,277,738,144,973,554,341,339,952,562,529,
197,429,457,078,019,501,818,796,344,128,427,920,683,501,530,087,259,821,332,
356,456,176,461,247,958,957,428,119,524,990,039,963,945,392,910,996,687,164,
408,454,873,358,018,273,102,324,022,743,209,521,894,530,553,952,312,650,811,
503,908,030,166,784,235,101,538,484,659,234,637,131,329,215,905,597,618,445,
718,874,285,056,978,626,935,215,310,084,962,369,749,585,724,779,459,587,259,
185,873,968,109,608,055,699,861,541,619,864,099,777,486,764,309,090,093,620,
459,127,769,460,740,725,872,501,422,591,791,427,167,096,345,533,622,029,002,
012,538,891,841,738,895,215,943,362,453,064,946,689,189,066,860,635,757,275,
603,433,533,153,812,619,135,771,179,416,188,926,643,078,864,577,653,930,133,
110,707,278,907,356,669,792,692,578,501,165,110,369,325,981,137,652,542,178,
164,877,809,484,879,223,672,791,445,926,317,275,794,938,533,313,492,184,852,
243,107,542,311,452,244,129,060,402,963,038,890,264,466,329,246,443,183,264,
680,985,767,255,750,264,424,604,959,111,496,082,051,798,267,565,283,549,487,
345,808,006,481,832,241,496,922,311,082,687,678,021,335,901,731,103,579,351,
117,331,201,412,687,211,281,888,652,343,416,413,042,320,497,866,071,300,579,
254,368,409,039,667,464,848,905,759,272,131,223,878,697,843,006,525,337,332,
958,512,784,559,798,723,687,810,737,195,677,059,897,983,957,051,299,663,822,
538,863,417,611,438,218,890,248,226,036,111,555,449,294,122,515,183,051,536,
192,304,720,735,059,409,545,871,767,808,517,645,957,005,346,912,937,965,184,
433,219,412,161,936,027,280,696,301,285,031,965,803,062,743,992,295,226,847,
396,842,107,441,384,233,040,966,029,520,445,954,234,921,424,047,557,308,007,
147,884,104,604,087,807,073,619,801,209,801,449,866,275,546,868,315,868,871,
981,958,705,824,840,189,718,729,689,728,481,114,803,324,557,276,303,215,658,
551,011,989,089,652,024,664,709,881,293,733,532,692,370,994,938,901,881,376,
220,892,144,531,241,982,869,132,319,294,645,054,386,742,015,411,684,173,880,
705,636,504,475,882,487,112,705,767,736,887,598,922,674,809,885,563,459,493,
460,584,413,475,859,909,282,243,095,618,582,779,392,169,025,614,149,886,543,
852,369,925,431,644,759,587,038,705,346,273,108,730,530,933,718,197,992,380,
838,958,702,886,079,386,538,599,584,847,125,899,336,468,115,381,725,242,136,
527,587,540,651,935,367,998,656,192,941,788,441,372,045,836,438,000,930,471,
925,021,162,112,433,770,456,356,502,270,830,895,840,231,995,575,044,946,313,
804,636,613,862,474,809,557,338,146,212,239,960,674,255,779,435,079,399,435,
751,745,245,207,322,072,720,098,274,159,883,369,669,148,357,326,826,579,619,
648,892,047,832,791,048,184,333,775,633,923,177,710,720,867,477,659,156,156,
600,467,531,213,506,199,187,041,417,877,490,668,686,159,242,122,760,364,431,
985,349,190,858,641,910,652,428,756,490,118,060,062,941,540,219,452,259,655,
524,153,147,648,968,604,125,656,735,086,646,276,938,460,787,728,847,590,883,
939,692,907,819,336,155,849,057,971,046,977,978,494,196,844,372,634,162,794,
523,425,215,015,872,315,891,669,212,629,513,045,128,255,270,340,577,882,276,
419,556,894,995,314,444,771,553,572,124,111,858,581,338,058,124,333,686,460,
634,658,517,422,965,195,335,605,486,320,003,487,469,018,667,369,433,400,303,
749,503,655,009,048,806,565,866,163,828,579,220,338,040,219,194,870,416,708,
135,886,378,278,684,391,410,205,138,862,162,744,310,794,170,846,968,693,979,
380,798,004,180,450,799,318,308,490,497,699,215,713,157,956,840,625,109,072,
399,350,099,124,504,840,773,917,658,540,024,009,758,156,307,773,412,850,687,
226,969,472,813,324,674,089,841,836,319,474,951,011,437,602,224,963,650,823,
281,491,127,016,756,896,578,307,373,788,205,987,758,636,709,148,893,424,807,
141,557,884,794,192,632,508,794,129,414,090,441,310,490,147,198,615,961,649,
832,494,572,166,617,489,199,792,229,044,569,710,677,792,932,003,753,303,562,
259,125,610,043,517,166,935,638,342,358,067,720,665,500,636,001,769,876,902,
153,808,892,040,295,151,771,398,707,087,614,411,001,973,695,316,376,989,174,
261,127,969,836,962,920,201,404,934,766,387,002,553,997,053,467,233,959,873,
259,150,907,513,945,061,098,959,324,068,700,786,851,379,308,665,181,213,008,
362,176,873,843,160,602,789,605,240,412,686,181,159,886,193,971,219,732,020,
909,471,162,147,215,249,456,195,940,848,618,673,150,464,030,798,725,329,361,
043,889,195,141,916,076,605,664,766,287,205,392,177,299,871,176,931,029,699,
539,132,082,800,157,943,274,825,867,411,519,002,427,286,960,111,634,764,003,
226,930,979,763,757,696,483,139,801,932,823,365,569,735,406,053,578,998,279,
184,266,106,611,969,212,370,744,107,573,127,747,587,631,528,164,372,878,125,
331,366,299,432,098,442,021,437,531,512,253,573,381,647,356,788,304,226,575,
027,409,307,054,761,707,129,648,826,063,308,625,220,661,224,177,531,768,324,
367,515,270,612,042,364,705,045,963,893,515,056,613,790,540,009,714,180,766,
884,531,495,203,269,214,405,171,755,985,498,203,610,763,267,104,212,177,754,
351,548,766,304,153,126,993,726,597,232,277,901,438,604,934,143,812,848,228,
946,773,327,744,191,267,689,902,780,074,984,088,648,735,462,497,221,240,939,
451,286,519,372,358,979,463,312,004,250,087,637,841,582,278,493,329,594,048,
070,550,721,610,380,911,292,244,594,933,645,262,812,163,305,917,464,605,706,
332,312,970,619,759,698,780,404,031,959,532,139,339,111,080,999,091,919,953,
358,934,389,619,799,619,675,541,789,429,353,946,412,096,327,151,902,793,010,
888,705,429,329,910,161,672,240,405,608,056,682,460,197,586,555,354,589,197,
055,570,142,538,841,605,915,053,337,742,887,417,122,282,609,990,253,701,809,
220,254,603,921,225,272,100,774,573,735,388,532,804,130,683,663,342,448,949,
978,455,235,052,795,719,050,555,129,380,165,396,758,863,836,413,986,384,924,
482,123,730,174,948,456,138,920,365,646,714,574,068,192,122,015,571,161,875,
466,172,896,796,089,869,997,324,953,486,962,761,658,601,185,070,787,795,133,
329,787,864,563,472,748,866,102,132,871,258,314,749,957,751,530,431,608,236,
422,884,731,244,551,827,742,102,986,896,011,189,294,891,650,995,782,163,449,
392,303,831,805,636,124,499,040,537,714,812,324,402,278,482,676,253,018,434,
633,215,744,679,168,150,753,182,092,624,356,929,882,566,951,554,693,041,059,
580,350,603,918,818,133,711,038,968,879,050,960,628,510,174,869,776,572,167,
036,283,252,154,272,959,149,763,935,765,671,896,600,777,296,739,437,069,449,
506,771,583,624,156,399,727,145,476,457,676,484,991,654,562,720,527,435,560,
086,060,860,700,233,416,309,209,274,869,465,447,101,538,221,143,966,803,953,
248,927,398,436,971,367,043,687,909,052,361,896,754,920,081,674,606,225,220,
432,977,984,347,605,731,064,139,091,183,712,325,412,978,279,442,832,737,410,
858,253,199,184,079,172,376,220,727,417,254,104,934,632,256,436,454,977,522,
443,544,844,124,751,227,002,736,381,206,476,282,437,814,494,655,553,541,555,
537,810,076,127,961,655,334,318,667,170,645,258,908,814,542,029,439,063,831,
529,904,903,090,246,635,958,443,844,356,124,468,335,178,396,285,993,470,399,
960,228,315,561,385,031,744,702,372,761,134,546,497,756,637,080,143,329,958,
495,563,864,614,752,371,118,919,688,961,780,876,092,016,139,622,627,704,495,
024,948,188,523,312,856,148,267,543,696,595,920,181,015,262,733,241,994,655,
907,301,399,845,116,556,547,224,777,124,249,049,457,896,809,953,457,958,074,
225,275,168,484,037,867,347,938,634,262,717,780,122,509,281,654,006,411,129,
513,970,341,874,301,141,507,111,602,219,975,373,125,968,257,549,095,253,191,
015,271,086,281,587,112,144,121,020,406,880,479,021,154,988,951,909,745,937,
006,627,005,925,717,515,693,792,971,350,590,994,121,743,057,081,971,425,376,
884,206,841,075,681,233,662,294,134,819,651,863,492,873,993,704,440,339,902,
035,095,583,954,781,792,149,586,756,071,221,259,435,447,140,422,467,062,913,
898,851,737,615,875,593,346,233,010,686,510,567,031,925,873,364,868,291,333,
861,954,237,447,331,011,095,725,474,695,806,159,697,936,150,801,320,324,113,
467,521,724,047,126,742,830,576,391,313,622,283,513,772,462,460,468,054,824,
843,721,464,443,589,080,105,482,431,469,745,025,865,828,274,501,970,071,455,
878,856,346,267,352,759,513,799,578,193,927,915,265,455,002,774,144,382,521,
802,448,514,435,451,887,580,523,846,357,555,645,521,157,128,894,441,418,533,
868,385,077,029,903,525,450,614,335,787,403,274,433,981,433,886,796,917,863,
816,400,310,782,101,309,512,664,333,939,984,163,348,747,597,859,875,504,790,
401,013,845,571,897,705,168,116,710,008,022,965,496,229,044,107,976,779,007,
295,253,483,998,727,269,909,264,211,989,489,607,664,814,008,890,211,058,081,
973,637,777,003,402,193,183,997,742,902,071,895,609,361,240,335,212,017,105,
406,889,044,798,945,444,096,930,794,387,120,003,618,405,057,170,729,392,297,
731,091,392,794,502,716,765,645,583,825,616,036,988,260,705,889,542,393,865,
853,769,391,019,712,154,779,764,227,413,854,343,267,808,830,014,804,814,506,
460,339,611,598,512,803,745,624,712,800,108,880,840,412,136,075,602,205,617,
777,010,975,291,009,986,985,329,383,617,782,160,899,104,268,132,137,673,507,
445,166,375,058,883,703,351,787,502,316,114,401,814,652,418,752,418,497,164,
858,886,295,109,592,150,425,031,575,861,178,275,504,524,986,131,409,759,794,
558,604,270,058,950,628,920,090,264,597,232,993,331,798,333,323,989,670,355,
908,228,182,285,065,358,709,329,948,917,411,374,682,048,920,400,852,329,027,
510,280,077,502,563,332,484,751,708,295,998,187,123,364,690,047,911,291,152,
363,155,830,577,006,875,120,762,076,766,528,197,889,021,647,794,453,326,162,
343,308,385,195,425,824,009,293,403,749,018,071,729,299,940,314,415,620,603,
216,545,568,646,984,143,298,934,818,376,123,799,607,397,436,644,275,788,613,
578,255,149,794,731,595,393,833,700,047,158,722,128,082,081,794,654,066,761,
166,367,023,837,009,885,196,190,416,749,819,456,484,243,885,328,072,180,432,
315,316,671,593,257,227,560,418,552,286,332,178,922,175,695,591,167,655,157,
832,123,192,121,273,552,417,698,420,181,457,387,805,274,498,300,547,587,910,
323,154,808,347,863,095,974,135,724,478,043,407,921,618,420,090,285,989,269,
314,833,753,464,259,991,958,355,470,237,447,357,358,346,976,692,721,695,552,
522,281,848,935,146,294,611,804,021,461,299,929,512,647,989,563,481,781,305,
820,351,872,292,456,834,616,907,029,588,916,254,520,126,927,665,354,064,049,
453,398,588,695,508,356,033,159,491,885,863,269,430,906,845,322,688,239,327,
557,357,785,160,953,053,708,347,864,879,513,843,702,048,823,025,681,972,471,
864,285,469,752,642,942,044,526,873,536,221,092,186,620,608,757,364,947,027,
322,617,492,927,490,752,058,488,904,707,710,619,017,195,553,932,162,189,572,
553,696,168,549,620,562,594,064,866,317,720,039,210,638,057,469,352,821,782,
957,471,758,643,346,737,886,680,933,031,109,899,734,740,061,295,229,636,505,
457,249,627,173,730,971,625,412,741,205,802,817,872,659,084,482,598,404,879,
863,527,510,699,493,722,112,317,882,643,717,216,558,288,578,889,734,580,387,
428,233,983,670,829,638,926,031,832,229,018,779,882,675,844,969,923,672,205,
478,561,652,822,164,325,879,311,041,765,292,420,347,097,293,851,921,962,090,
781,423,060,454,420,708,500,047,293,390,885,470,479,188,716,422,347,768,138,
310,230,658,545,198,313,890,099,565,596,954,630,785,871,918,589,549,456,019,
959,777,658,692,551,668,666,572,335,756,951,562,260,625,146,425,840,913,201,
257,526,239,419,558,254,322,124,453,851,198,386,084,816,545,642,664,815,688,
730,073,448,823,903,425,579,686,216,033,740,901,037,684,880,598,714,706,797,
419,808,864,470,150,684,266,963,829,117,411,854,391,084,749,696,185,473,196,
423,074,605,764,235,331,987,976,768,781,483,860,053,123,533,512,058,817,070,
991,676,385,593,545,914,161,131,536,003,554,811,388,854,627,326,400,718,549,
594,461,401,971,213,450,264,451,785,351,136,228,339,798,509,074,738,774,111,
648,443,915,413,398,274,550,209,123,228,250,172,416,933,337,079,674,850,075,
687,796,909,984,806,303,421,061,717,962,535,513,327,990,874,954,887,366,128,
702,606,560,484,493,912,949,831,205,090,369,622,369,924,059,286,321,724,752,
450,081,291,420,403,518,925,029,649,463,430,031,744,368,859,377,703,395,528,
367,838,139,301,464,143,418,561,962,808,961,352,334,463,735,273,046,130,303,
995,149,591,682,712,429,529,785,657,605,913,736,631,306,337,148,266,294,888,
379,733,949,155,739,086,854,484,028,950,733,787,180,416,770,007,858,685,997,
900,573,037,549,186,503,206,759,023,460,023,099,241,725,528,947,209,363,049,
230,457,783,220,612,274,290,832,992,191,871,725,388,213,941,964,473,781,413,
266,396,679,924,781,729,909,722,204,008,232,558,100,866,639,882,311,709,365,
873,604,249,619,752,546,281,769,004,817,614,006,859,595,450,246,934,825,806,
718,573,480,417,814,904,120,181,075,390,410,224,224,128,233,899,343,007,453,
446,673,249,965,653,735,362,772,241,912,952,794,624,523,140,564,572,373,551,
670,625,484,047,677,548,702,282,225,950,646,876,716,406,286,719,353,651,001,
864,512,170,333,683,988,101,287,966,957,456,384,858,580,373,938,956,248,560,
871,730,603,784,788,684,987,306,650,848,216,094,388,959,962,180,936,675,527,
903,449,478,582,582,147,202,090,401,523,223,120,655,235,154,691,929,712,008,
936,510,524,271,206,672,359,666,169,929,399,473,186,282,055,220,768,522,039,
722,824,344,683,996,871,330,440,906,038,605,466,550,870,404,602,231,922,142,
783,874,089,459,308,228,610,052,895,712,816,110,439,219,994,596,403,311,126,
618,375,594,854,474,863,692,855,093,892,554,654,536,372,524,938,708,372,951,
593,062,718,925,824,232,776,144,885,933,534,246,834,123,977,402,174,717,341,
175,758,881,486,365,263,680,581,079,225,022,290,136,908,835,964,823,268,841,
789,816,380,410,149,240,835,596,477,986,179,170,324,102,346,385,541,113,167,
073,977,117,982,090,650,837,750,187,191,853,724,865,712,163,616,876,496,578,
220,307,244,958,648,880,251,123,813,540,544,031,212,760,524,936,315,062,832,
162,684,886,633,845,745,850,041,908,978,092,385,870,129,864,131,023,355,840,
726,093,328,070,440,521,207,388,190,525,094,045,009,854,383,440,873,546,310,
925,849,101,920,727,161,892,999,692,680,013,026,476,765,422,263,001,301,652,
945,550,734,760,757,646,739,796,637,023,423,220,855,995,961,365,383,374,156,
929,066,312,946,244,735,695,293,786,149,437,910,338,106,773,300,745,048,259,
985,616,132,112,531,746,921,774,069,920,482,557,318,773,767,962,938,246,973,
437,369,417,011,436,421,764,764,412,625,068,444,863,860,711,253,234,130,697,
309,904,197,155,894,486,320,259,371,142,237,170,130,350,939,895,002,784,969,
853,926,518,609,569,859,991,574,179,129,897,411,555,942,411,294,663,087,416,
908,489,089,653,518,502,153,547,842,627,397,065,114,908,353,389,352,363,105,
298,489,024,357,881,273,044,328,015,349,452,027,525,105,090,929,025,364,073,
976,806,639,458,045,968,669,016,442,287,255,215,146,231,706,473,398,799,873,
082,852,586,664,106,314,363,693,543,751,340,011,633,187,344,384,470,207,359,
017,145,714,980,592,765,867,023,000,480,601,420,150,823,930,970,310,774,381,
073,643,618,308,237,178,155,437,177,399,614,660,917,969,863,773,093,151,749,
638,049,163,762,122,192,679,115,200,673,907,573,139,822,914,406,448,965,875,
712,701,327,758,980,672,612,640,753,719,525,888,433,807,076,019,258,231,116,
935,327,933,333,717,520,787,527,602,272,892,243,633,928,685,604,592,560,716,
801,840,777,014,540,168,230,948,006,967,992,013,082,751,997,772,843,558,462,
697,742,585,509,373,553,172,804,780,630,828,997,997,275,069,631,386,161,184,
632,153,887,157,010,770,764,955,985,967,894,383,782,126,706,202,452,950,759,
215,878,057,554,674,018,403,332,538,443,699,188,695,501,674,078,424,679,871,
967,300,340,872,794,247,106,263,867,898,437,849,549,466,689,265,869,341,708,
529,382,172,133,838,521,982,803,503,465,629,986,837,510,605,857,624,579,320,
990,803,354,343,392,823,225,223,831,492,859,697,906,735,152,215,843,000,094,
699,787,576,232,523,126,245,662,849,616,496,299,130,138,576,869,793,624,332,
553,121,351,766,319,359,553,413,790,912,011,086,885,567,864,307,403,813,448,
832,892,509,330,880,496,916,714,651,513,603,152,932,476,827,349,899,799,912,
727,374,088,394,394,862,268,371,834,968,147,227,404,669,610,415,445,000,141,
377,628,364,459,991,412,117,985,422,361,461,351,951,255,960,359,312,875,219,
598,211,785,356,025,921,081,995,323,467,639,974,910,376,701,514,804,406,713,
260,404,700,699,912,598,822,233,996,434,292,686,703,191,368,751,601,689,100,
290,159,930,574,956,559,961,028,938,475,796,648,642,037,191,019,998,501,510,
216,209,183,983,584,661,658,276,960,034,812,629,400,464,772,511,205,136,250,
817,697,920,276,731,258,038,480,240,947,977,337,714,984,694,729,059,132,623,
615,644,938,145,797,889,235,431,602,577,269,630,699,122,082,275,318,424,212,
938,683,337,100,690,918,939,039,559,719,849,710,228,741,218,438,242,780,311,
303,034,017,479,226,767,506,258,730,784,349,561,621,914,445,734,754,500,397,
189,673,878,545,411,485,149,670,600,588,892,895,627,549,448,402,966,021,150,
487,883,852,371,079,512,885,265,192,905,014,705,779,303,047,612,787,962,029,
336,324,671,545,070,264,867,013,668,074,333,338,520,690,375,755,762,902,487,
059,961,233,894,351,977,457,529,527,020,387,976,203,257,106,138,613,168,720,
452,700,974,776,453,504,528,704,414,690,915,418,040,199,028,500,853,275,753,
649,169,554,988,533,592,721,445,222,730,270,335,071,328,785,847,183,448,645,
920,652,277,826,202,889,198,685,230,326,628,513,744,791,553,147,107,111,156,
189,398,536,194,199,427,798,290,940,759,480,732,394,809,713,306,518,369,842,
381,077,479,447,535,286,537,138,104,868,012,455,318,872,284,899,173,284,437,
626,352,781,646,938,704,715,209,366,404,625,889,423,335,719,621,751,366,201,
907,737,696,548,798,027,990,876,891,697,841,143,012,903,814,550,997,289,313,
882,001,055,089,776,392,946,048,835,640,684,148,838,850,233,009,769,687,765,
210,978,749,700,211,629,514,329,131,171,006,168,023,735,153,394,060,310,477,
509,932,720,360,233,554,927,354,406,158,045,363,414,638,610,513,315,523,948,
417,825,448,048,759,149,642,620,955,454,996,039,605,171,794,922,212,525,599,
393,076,324,058,024,485,690,589,415,056,059,446,343,450,295,404,652,476,745,
237,990,887,284,033,466,045,449,396,956,126,359,631,414,456,272,328,439,506,
312,522,805,179,414,642,347,918,279,771,421,039,781,962,605,920,307,351,011,
812,539,779,550,804,606,324,249,676,504,338,889,272,914,294,812,925,189,997,
076,326,176,584,441,920,401,099,757,009,720,661,270,820,975,785,354,473,358,
893,042,886,147,027,193,296,979,942,071,209,939,332,221,054,655,249,792,673,
987,808,446,411,660,225,438,155,559,948,298,395,951,534,833,425,574,738,808,
329,919,089,763,698,410,357,576,273,241,078,072,152,531,701,652,940,045,460,
750,470,268,059,406,317,330,539,912,647,988,216,385,676,570,623,139,466,461,
862,176,531,011,776,225,775,318,303,608,034,220,170,669,075,729,531,968,821,
068,777,286,271,696,999,524,650,849,789,873,573,493,697,735,256,972,635,980,
145,092,172,127,710,672,992,181,249,897,456,552,452,818,854,965,021,331,292,
153,535,256,241,407,216,910,987,571,653,439,356,350,995,043,046,171,864,550,
062,275,672,239,670,473,729,111,352,304,864,980,735,177,809,056,868,142,055,
892,586,354,292,548,081,748,017,181,309,173,030,974,670,266,733,252,712,489,
514,624,819,109,706,079,613,968,731,470,455,073,040,452,472,933,197,345,935,
916,796,730,709,184,570,593,201,913,445,658,385,107,369,333,367,203,460,177,
329,577,213,968,766,881,259,895,724,988,635,238,912,388,724,999,716,365,655,
195,570,713,311,135,776,069,035,363,948,838,002,862,680,956,434,762,766,129,
398,229,373,673,299,256,166,323,995,102,065,290,888,590,876,699,195,670,270,
831,582,278,406,306,245,661,055,598,403,230,268,729,661,379,047,369,111,495,
642,268,877,482,801,530,439,058,914,656,013,215,586,469,228,421,365,801,838,
506,257,715,861,139,196,712,743,545,488,569,658,508,577,417,748,024,823,028,
516,853,973,165,666,294,025,865,016,541,020,791,115,096,549,584,664,306,653,
272,412,972,286,321,077,252,171,510,549,051,880,077,607,841,929,021,889,855,
076,775,810,954,024,788,369,906,251,584,632,260,521,997,769,032,607,047,920,
292,216,573,606,859,496,269,919,228,527,775,313,532,534,590,723,240,181,920,
525,377,847,773,197,302,478,754,852,522,571,033,988,789,283,161,118,918,983,
923,216,563,948,418,966,898,521,563,613,716,809,833,723,153,051,300,877,532,
271,852,838,910,935,847,813,445,411,998,027,197,024,736,281,044,716,591,507,
566,036,356,319,570,678,000,737,110,278,837,493,240,276,110,770,948,831,747,
927,347,429,470,276,322,949,261,102,603,599,608,069,073,542,459,997,129,546,
564,097,381,304,624,455,734,220,246,978,678,245,939,402,015,003,729,430,370,
198,531,041,719,161,846,554,846,695,274,856,490,915,845,493,142,030,628,528,
534,449,138,907,908,222,658,286,863,412,494,280,350,308,043,253,735,768,045,
257,060,490,212,719,315,370,475,793,891,763,150,950,959,340,773,613,057,898,
347,972,106,138,859,312,668,914,332,455,482,970,961,529,014,080,146,355,680,
486,108,933,711,824,573,602,984,986,033,195,062,122,825,550,981,219,242,709,
188,758,116,916,614,618,542,940,092,636,464,625,615,734,849,326,787,726,565,
403,581,198,904,270,530,698,280,789,259,242,507,483,202,042,324,949,011,326,
436,514,388,859,873,696,719,830,953,057,680,448,077,240,261,271,935,231,597,
927,148,525,300,366,065,967,491,891,573,998,704,715,198,959,743,322,329,563,
160,998,351,761,318,056,099,665,420,654,786,265,873,670,536,973,361,361,564,
531,824,483,817,164,156,509,531,520,370,472,131,502,925,874,926,296,543,698,
499,305,350,615,763,396,772,865,263,992,828,077,995,400,982,292,269,631,046,
669,673,776,601,027,859,101,684,131,998,875,890,642,249,417,629,429,066,506,
979,389,481,683,778,074,778,506,491,234,574,199,621,207,618,337,261,181,633,
655,238,127,463,194,950,717,208,007,288,737,385,688,559,140,646,037,246,064,
423,571,368,604,669,593,755,926,291,388,142,488,712,732,623,658,796,497,027,
582,749,921,279,551,609,840,425,069,677,603,122,160,849,254,672,584,361,544,
709,629,921,014,012,902,088,613,637,571,841,026,529,002,588,887,942,082,762,
832,014,578,926,641,987,060,724,257,234,967,120,698,538,917,575,791,529,730,
045,793,761,379,441,655,415,152,478,041,807,117,092,008,688,754,131,614,532,
768,399,247,836,089,294,681,879,450,967,570,949,999,477,766,947,092,359,121,
543,103,168,934,332,439,995,501,653,811,941,557,657,138,878,728,087,445,262,
090,334,625,486,364,602,247,143,697,878,150,028,379,627,093,193,604,593,051,
130,551,968,789,673,361,667,667,629,729,653,538,362,054,385,963,297,526,384,
740,528,394,204,539,384,516,172,278,200,262,856,991,597,966,917,660,381,379,
279,545,155,134,565,112,462,394,404,404,038,164,845,509,222,909,002,981,381,
600,486,513,391,975,467,660,841,187,016,583,743,782,991,994,819,236,591,929,
687,743,240,616,787,279,302,136,402,587,984,718,902,370,954,068,953,815,048,
251,344,449,862,851,176,614,041,060,865,055,377,039,110,030,204,067,503,539,
351,188,672,367,242,239,446,835,700,007,117,306,052,961,589,420,817,312,637,
222,615,904,282,809,773,061,238,073,839,627,868,358,927,182,418,226,782,516,
602,418,636,686,652,438,157,677,884,166,162,210,103,167,730,803,988,691,913,
582,526,040,227,988,914,505,575,432,113,263,492,235,005,224,282,763,447,957,
006,866,964,583,772,834,319,087,366,580,720,584,187,482,876,036,263,768,897,
124,063,354,293,130,561,452,557,374,036,394,927,099,332,460,934,468,990,518,
578,043,467,864,975,672,060,730,445,758,810,372,015,230,212,600,707,876,827,
455,494,305,611,260,274,296,907,608,351,617,841,365,027,215,914,007,266,029,
545,477,209,022,474,360,284,141,539,948,432,515,928,804,155,689,634,023,937,
744,592,490,564,979,279,787,803,591,352,290,879,011,035,416,750,665,833,528,
171,274,107,417,330,595,430,709,075,554,969,705,358,608,779,111,640,590,207,
685,878,112,289,132,030,828,085,548,835,068,564,378,460,132,069,737,490,205,
314,497,203,668,483,803,817,904,988,495,228,696,605,941,212,548,033,160,075,
504,250,226,291,988,085,553,725,626,624,581,050,377,201,736,714,203,699,213,
068,926,875,435,048,018,263,454,136,438,497,499,565,198,642,770,516,626,672,
688,393,682,177,619,796,961,132,599,771,616,629,361,524,377,706,482,806,172,
322,019,600,528,418,326,001,131,931,374,813,257,309,571,843,816,104,573,801,
115,928,473,989,978,818,633,972,182,307,290,318,163,435,230,032,639,209,242,
181,080,841,469,200,595,079,515,148,307,915,610,502,345,875,694,866,374,024,
180,339,522,881,768,726,005,054,034,004,003,988,186,538,824,701,662,625,177,
207,177,932,211,532,262,070,305,298,278,993,272,336,810,525,065,341,467,682,
739,835,467,504,786,396,489,595,078,060,691,937,022,167,819,125,619,538,903,
744,960,466,346,267,146,436,759,895,944,002,537,057,343,567,126,162,554,789,
667,963,607,594,814,114,693,182,723,451,354,133,717,307,275,731,609,648,297,
688,613,201,573,379,476,580,452,008,536,643,188,624,054,574,332,142,516,685,
361,885,582,732,775,473,753,059,323,997,069,537,831,839,835,508,038,208,629,
117,276,144,600,506,162,873,369,851,735,992,000,014,361,446,580,666,726,273,
311,166,294,123,687,905,959,306,819,497,544,916,653,908,580,205,696,237,679,
339,008,688,770,286,924,352,646,445,619,144,241,251,436,914,635,150,609,977,
150,092,120,264,220,423,517,139,255,887,203,217,047,733,200,680,487,143,330,
093,186,530,173,606,868,053,798,106,946,006,791,691,811,092,520,910,230,624,
560,343,890,752,886,955,075,840,155,078,417,860,703,089,435,318,902,435,351,
269,409,749,303,223,420,366,101,816,616,521,571,722,562,839,257,775,484,146,
690,521,189,358,051,092,071,968,710,227,991,236,479,803,000,330,118,523,909,
207,477,501,729,098,120,038,413,554,911,855,512,771,661,397,349,711,778,922,
602,651,900,547,532,299,092,351,135,343,250,110,999,154,701,257,012,062,373,
459,839,534,001,534,936,316,630,106,090,520,037,741,094,201,828,405,835,488,
961,459,389,074,129,389,792,527,549,900,405,530,850,958,193,499,207,238,877,
544,443,719,070,436,115,224,942,114,308,000,715,036,745,099,175,603,068,271,
750,542,175,967,795,874,098,856,011,085,698,510,816,067,339,386,078,501,762,
611,398,548,698,832,606,641,918,484,678,892,574,256,780,774,212,212,633,532,
806,150,547,192,718,428,774,938,364,838,816,482,175,654,173,262,369,345,634,
952,705,926,766,068,321,161,259,088,672,410,921,384,563,886,713,162,431,790,
788,334,826,310,476,078,516,209,060,462,882,794,675,624,139,056,502,117,315,
612,740,068,986,504,069,462,838,732,817,215,284,710,306,030,547,391,340,067,
891,237,837,762,476,179,506,408,304,675,183,240,045,012,340,158,349,470,614,
680,648,262,997,294,024,709,109,527,774,351,992,388,791,697,798,754,254,958,
853,227,710,412,669,215,718,011,157,886,582,667,832,285,473,950,157,223,160,
781,925,014,692,346,975,401,742,764,791,894,505,298,141,424,334,700,659,468,
221,758,833,685,759,968,262,875,785,528,118,086,030,266,456,289,978,154,315,
165,393,261,766,899,237,478,068,706,989,094,680,865,753,841,651,631,098,204,
931,448,086,640,901,298,960,413,272,353,652,116,948,016,195,469,544,038,048,
498,196,347,741,867,859,855,658,567,018,530,654,872,850,753,643,903,708,829,
611,988,607,576,796,908,667,785,615,680,588,787,669,543,415,265,705,003,530,
142,833,941,350,142,021,161,379,788,289,047,872,031,574,918,352,940,771,043,
747,978,534,919,434,425,569,413,006,931,736,594,833,838,264,147,841,283,749,
031,280,760,239,877,763,850,223,200,192,006,031,198,281,018,678,097,099,622,
563,724,968,559,409,346,514,421,310,999,385,335,260,230,407,990,894,278,331,
860,067,418,564,551,496,313,861,389,744,178,500,584,848,808,315,894,020,731,
703,083,324,401,148,018,605,324,166,634,707,749,713,044,010,695,227,778,997,
945,549,072,862,661,612,514,473,695,102,139,685,985,611,790,896,208,611,227,
224,055,381,542,484,306,189,170,295,039,931,582,568,865,101,828,945,534,674,
439,847,998,872,842,990,694,868,071,471,409,815,733,408,333,683,686,093,843,
411,362,601,232,341,718,376,448,911,550,543,690,786,041,416,516,213,942,917,
339,658,197,009,016,816,117,045,055,480,730,246,560,002,729,097,088,105,554,
289,091,118,678,224,038,744,733,486,638,542,522,371,417,677,994,752,986,636,
286,732,832,766,227,045,862,202,227,511,003,153,473,824,908,342,891,130,372,
048,137,642,644,448,050,327,677,287,830,990,989,328,331,254,704,140,574,271,
238,300,068,450,474,331,190,433,278,681,548,378,618,984,452,128,217,644,430,
538,421,157,411,855,306,011,113,522,879,772,718,772,617,586,487,691,567,380,
478,986,777,512,896,316,345,886,836,286,051,866,888,484,449,791,247,134,799,
030,189,409,495,027,977,930,375,881,922,170,730,329,254,822,678,099,699,635,
062,914,114,325,304,473,742,324,563,531,364,753,376,779,223,140,015,422,309,
700,189,111,585,106,985,227,194,436,129,823,482,309,138,360,963,271,079,446,
535,685,883,184,556,891,994,699,001,745,817,196,509,763,479,761,586,847,365,
554,060,571,405,326,712,761,521,786,809,053,365,174,794,256,421,548,793,986,
241,305,321,307,781,908,103,252,241,819,498,902,948,663,375,104,134,767,749,
443,633,242,216,393,564,697,204,233,993,373,501,455,859,775,242,165,457,015,
453,065,953,346,247,505,033,364,681,832,604,918,321,360,831,365,075,613,176,
668,867,449,472,877,736,941,847,355,546,894,727,913,682,943,620,893,641,427,
684,822,739,549,305,241,121,149,149,930,458,393,383,548,493,709,888,751,826,
443,831,795,704,000,390,721,331,300,436,298,364,302,507,545,054,684,935,605,
188,991,219,901,594,685,435,686,956,006,718,947,852,405,589,988,465,957,969,
493,953,631,931,597,083,710,410,936,482,671,160,641,023,264,253,884,708,899,
385,769,257,148,139,608,663,311,875,140,427,202,901,439,064,006,770,405,496,
085,626,615,553,346,510,699,587,958,192,244,699,638,734,226,122,842,151,201,
913,122,281,188,847,383,708,226,162,663,110,056,620,216,780,259,273,921,454,
089,600,154,973,514,862,322,634,486,854,338,618,337,785,907,811,346,145,559,
039,025,785,196,374,932,984,195,576,049,464,311,519,582,649,848,530,873,454,
778,194,181,977,412,115,818,348,108,372,559,892,357,109,058,604,724,077,488,
557,556,612,355,317,507,199,195,409,322,020,236,509,436,679,972,677,442,406,
429,119,274,716,514,415,731,528,241,412,345,428,714,813,113,430,365,312,577,
601,757,744,710,615,919,969,169,087,047,449,372,336,836,960,923,860,072,306,
068,160,626,852,250,030,623,341,330,921,427,585,339,575,693,206,561,240,593,
893,337,905,347,921,517,271,327,667,297,157,730,849,030,141,078,396,141,834,
393,394,165,037,075,041,753,204,275,534,439,530,042,770,358,799,164,930,374,
176,200,001,056,581,614,870,430,704,363,748,035,751,313,547,445,198,852,546,
910,595,932,957,550,501,916,557,988,221,507,602,465,842,992,964,024,604,617,
906,516,793,820,119,184,924,576,929,135,953,858,089,408,055,063,274,102,647,
047,992,043,537,134,992,347,089,725,598,691,944,430,556,510,771,549,439,946,
555,538,829,625,084,670,565,796,812,426,925,421,446,473,465,423,648,821,161,
115,678,251,875,215,764,535,901,002,361,600,505,458,677,930,849,136,629,055,
274,235,231,742,849,039,802,261,614,403,893,401,150,112,380,629,667,071,588,
279,331,000,072,143,157,087,254,685,297,885,764,925,453,952,665,018,472,924,
679,542,122,157,294,242,254,206,644,257,911,408,005,703,381,584,349,853,222,
881,698,891,896,154,798,845,662,744,284,082,913,370,179,852,275,453,967,516,
115,540,814,561,064,624,350,514,389,700,691,062,635,376,069,689,130,186,617,
766,157,204,151,890,349,426,215,951,784,490,560,477,164,799,892,266,952,191,
576,527,382,997,160,914,753,668,230,201,213,736,358,301,077,397,615,810,964,
160,361,336,704,386,347,386,230,541,056,897,582,559,456,191,601,149,271,760,
085,699,238,866,237,121,193,457,866,554,203,596,081,514,169,378,810,447,694,
633,412,249,094,673,646,503,710,970,616,849,438,700,773,292,667,257,893,944,
606,425,865,034,976,416,447,478,716,426,745,317,802,054,390,695,743,750,839,
916,960,954,123,369,375,007,626,958,412,837,162,293,226,642,665,558,008,447,
418,654,682,824,128,995,302,685,798,157,975,190,418,840,999,461,181,104,298,
568,108,509,589,693,126,504,920,868,226,742,036,841,342,342,194,093,921,718,
994,513,947,430,593,441,198,238,547,589,121,243,432,380,473,195,662,869,264,
510,559,097,934,651,605,405,487,720,998,479,116,565,218,485,038,164,981,319,
646,780,544,082,793,818,610,666,708,032,797,604,625,245,948,139,061,152,919,
059,933,410,393,272,429,091,440,626,379,278,998,038,044,309,572,799,624,733,
903,628,579,558,152,292,869,513,872,961,404,793,260,678,881,663,216,541,748,
913,028,564,861,332,038,882,439,659,975,710,214,583,296,595,663,130,426,794,
319,438,041,402,332,020,030,087,690,059,828,907,357,623,281,432,551,737,657,
246,629,560,815,636,012,894,742,204,240,633,003,417,109,028,152,164,582,582,
321,460,642,635,190,222,633,773,542,604,942,117,428,950,891,160,363,406,376,
302,405,592,852,018,583,880,459,688,237,457,888,495,456,474,215,511,130,836,
115,851,739,543,118,322,296,381,211,404,554,127,910,400,086,090,126,707,702,
115,231,408,650,017,523,988,286,095,498,825,243,723,297,272,186,609,133,632,
883,592,874,033,749,560,981,612,783,016,329,768,037,150,810,767,477,228,547,
980,699,367,596,709,661,782,887,076,943,669,596,292,843,359,163,579,508,228,
615,383,573,390,982,775,555,199,334,461,291,599,414,797,402,121,666,038,736,
772,610,643,113,500,590,686,305,197,309,088,768,813,744,867,906,854,086,595,
178,605,587,525,148,691,288,471,100,975,215,820,315,014,756,056,678,177,476,
792,769,254,818,975,075,441,172,238,106,639,277,126,227,675,588,558,695,631,
122,336,581,029,358,489,921,605,141,139,672,846,403,837,349,885,042,147,091,
988,821,895,885,289,538,294,293,010,104,083,401,479,167,531,349,506,223,344,
893,980,148,635,091,032,489,342,594,759,076,363,895,459,191,963,659,822,413,
443,774,555,029,521,042,195,279,647,358,782,212,371,053,391,797,142,761,911,
334,106,367,938,152,766,338,743,947,193,684,752,934,667,089,148,243,238,695,
254,884,439,802,928,599,062,974,683,014,186,340,424,908,696,539,525,684,699,
460,306,615,163,738,714,719,736,725,359,444,248,047,839,202,069,293,893,546,
626,361,852,334,402,086,274,886,709,663,404,749,716,311,367,045,161,593,817,
268,657,850,303,587,898,614,721,467,743,449,525,737,817,810,380,347,845,398,
273,591,335,870,279,824,730,117,742,282,018,757,977,587,515,947,337,583,809,
745,893,526,757,739,095,683,605,119,768,648,262,036,135,413,257,593,833,549,
009,371,435,455,331,125,792,810,175,623,713,732,518,107,389,806,096,715,226,
292,113,159,792,955,190,766,008,994,490,070,245,463,797,470,939,049,788,876,
633,924,237,013,827,844,937,721,203,934,589,529,597,102,872,919,805,571,342,
377,117,603,370,005,098,152,903,427,543,200,205,700,218,941,239,739,327,927,
471,258,196,533,348,813,882,944,754,528,635,262,589,969,338,992,344,721,654,
366,656,018,058,943,957,768,517,472,946,735,322,832,483,945,822,125,268,928,
935,954,756,460,088,166,694,991,219,362,476,517,597,157,449,751,188,572,714,
178,144,685,928,964,374,369,001,594,029,390,770,819,735,665,064,095,947,355,
105,787,061,058,980,752,618,891,229,038,941,400,405,146,821,820,190,716,941,
676,642,265,435,542,787,681,701,120,595,363,781,210,957,471,039,216,195,497,
923,766,094,177,718,240,863,311,805,679,186,412,872,134,782,346,663,535,557,
032,791,166,705,383,947,591,257,956,997,308,316,594,693,402,415,039,079,750,
126,735,816,373,064,996,454,487,236,462,648,004,848,792,388,692,529,734,015,
490,446,341,714,644,879,569,027,044,314,481,774,913,809,997,076,221,907,661,
979,658,383,050,473,405,930,843,502,380,622,270,376,987,339,022,978,877,821,
343,263,070,924,959,780,066,365,881,351,797,727,906,883,911,319,830,010,414,
791,455,373,768,804,675,120,984,683,194,066,222,894,802,566,737,854,806,954,
588,923,096,410,639,757,946,638,390,573,693,169,559,573,245,290,499,269,334,
069,208,842,015,282,334,320,765,565,269,639,905,404,554,546,310,319,326,290,
622,292,763,135,841,509,570,313,205,039,218,743,929,497,628,399,728,865,988,
347,247,135,189,645,262,569,936,018,656,229,661,119,458,041,858,074,680,536,
672,003,850,660,893,298,578,312,856,693,263,698,633,891,897,812,336,435,020,
331,464,723,056,868,168,785,602,319,766,584,952,224,708,929,257,420,252,845,
513,662,856,299,551,455,027,511,872,216,456,895,579,079,695,272,078,994,255,
875,673,815,694,094,312,916,997,339,755,678,840,270,628,645,796,701,487,072,
925,421,219,746,507,350,811,317,878,979,197,760,657,415,022,013,470,117,602,
509,789,228,217,094,351,273,944,900,463,845,069,725,204,908,323,007,374,968,
446,105,450,116,294,781,789,907,491,825,856,034,998,749,280,159,397,089,398,
509,271,027,591,735,639,514,058,580,919,678,431,580,240,216,860,938,400,007,
742,778,128,292,170,757,202,690,216,217,948,596,112,717,233,050,226,797,348,
399,514,509,811,313,729,010,599,577,372,837,584,418,510,151,471,016,121,593,
290,958,643,250,665,736,474,922,719,731,491,302,972,424,738,392,101,646,416,
043,536,742,862,577,750,500,184,312,414,999,633,458,749,078,977,185,386,215,
746,033,702,199,590,803,373,128,557,169,767,453,632,762,987,841,228,241,185,
037,434,598,468,124,975,261,578,377,313,069,915,576,185,353,235,651,368,663,
096,074,119,651,971,288,422,760,884,613,082,611,565,323,233,371,385,550,729,
200,528,698,584,622,052,330,704,087,181,575,450,098,058,713,092,968,032,882,
951,559,125,428,425,839,657,815,106,556,479,072,096,864,592,508,652,477,910,
360,798,234,043,397,462,257,907,450,593,316,955,149,765,164,797,522,806,256,
287,948,073,977,717,996,410,989,078,168,410,137,171,128,234,158,736,057,407,
556,606,075,465,292,318,291,786,303,369,650,432,711,765,097,709,234,813,130,
805,640,703,291,037,156,699,597,642,781,680,626,312,127,282,481,280,722,802,
171,553,692,038,897,810,914,472,960,863,149,833,067,923,299,438,368,584,746,
141,498,595,226,935,569,851,819,247,220,368,946,382,867,236,150,694,440,765,
127,676,846,742,056,241,494,817,467,973,514,259,667,194,146,868,103,986,097,
079,573,864,234,798,442,727,725,170,145,869,500,198,784,851,633,709,575,036,
048,156,451,322,518,512,570,177,158,836,401,159,757,683,593,957,826,152,417,
596,172,456,103,542,344,198,090,853,889,729,802,442,079,398,444,167,755,599,
149,571,806,954,536,143,894,003,507,521,050,094,904,861,411,671,987,457,348,
357,728,096,074,532,714,772,382,110,411,820,401,007,567,735,383,067,182,324,
244,027,223,049,120,436,440,123,376,789,251,127,265,155,017,904,682,866,202,
860,955,428,037,504,854,516,761,003,796,295,474,096,187,403,375,029,419,869,
977,194,137,720,219,666,253,529,168,182,306,074,566,994,569,867,720,448,631,
399,939,713,893,703,126,803,890,822,198,923,026,630,276,693,040,032,551,999,
122,496,107,877,884,392,845,717,866,530,949,100,369,791,428,120,757,288,819,
861,316,501,090,128,894,526,377,964,167,748,174,801,609,568,188,478,762,774,
661,271,343,504,599,372,210,107,285,440,210,408,007,579,307,044,643,589,825,
502,747,254,132,332,549,577,307,107,981,136,029,840,302,009,591,894,649,337,
917,024,734,597,732,837,398,417,791,832,766,399,135,754,778,195,554,734,337,
910,740,864,655,284,907,292,921,925,273,589,956,875,150,978,158,071,329,668,
275,621,089,072,439,300,455,461,867,734,544,883,199,514,363,891,541,428,787,
327,456,911,942,689,130,023,418,498,002,085,007,065,352,776,615,536,822,676,
305,058,551,259,476,152,803,295,449,836,493,335,114,708,164,411,288,842,389,
917,332,002,760,365,864,900,343,916,590,824,363,744,770,374,430,551,950,121,
684,389,612,641,668,731,256,544,462,241,495,252,457,188,903,505,311,008,118,
285,424,668,474,902,811,313,355,020,781,166,316,738,899,594,348,883,936,764,
993,708,743,363,786,892,592,917,534,639,912,643,706,485,890,787,757,515,251,
869,019,746,705,682,946,287,576,882,876,023,971,817,903,032,788,823,072,580,
230,180,127,514,853,424,007,014,157,430,618,879,382,068,184,202,897,442,685,
971,473,406,838,407,749,577,723,891,619,763,140,458,870,396,445,117,873,497,
019,070,449,427,988,616,049,036,178,965,507,329,051,933,345,611,820,055,198,
092,915,716,683,537,988,502,145,641,259,240,998,068,717,981,654,600,855,542,
581,274,824,894,941,871,817,423,751,596,271,528,952,644,890,738,990,207,086,
401,909,583,252,312,440,740,600,694,803,511,145,694,219,002,468,968,035,297,
327,499,742,402,101,244,766,295,795,968,783,991,831,046,016,336,870,120,963,
400,000,003,805,497,327,097,396,215,470,645,863,386,995,210,832,272,065,815,
409,364,078,478,062,777,475,708,356,526,241,652,785,031,336,883,985,462,045,
071,217,069,447,481,642,623,667,016,352,178,808,243,571,497,108,024,716,482,
624,900,114,225,895,165,311,784,273,085,872,373,849,724,218,296,048,581,558,
099,475,074,108,819,708,281,758,101,803,240,734,984,539,605,099,115,334,841,
255,286,290,496,930,560,108,064,505,324,546,775,997,579,973,016,997,593,172,
710,648,433,323,531,016,859,667,703,435,701,404,886,514,836,964,249,928,095,
210,984,850,644,029,329,517,357,535,388,373,901,178,375,393,583,457,809,045,
828,679,508,475,219,054,165,903,468,484,846,855,495,125,260,991,105,011,911,
680,686,707,440,036,901,234,955,798,776,575,709,749,023,568,780,284,833,886,
934,451,015,145,678,790,256,693,144,354,587,446,122,599,252,711,804,949,871,
380,071,148,840,060,039,636,791,869,064,423,944,958,741,982,308,672,330,812,
518,068,854,989,065,486,364,103,003,023,497,158,663,729,715,889,681,765,849,
787,603,408,556,018,570,143,063,178,867,594,024,985,049,855,962,885,238,315,
120,890,972,866,943,811,508,714,311,095,750,291,010,566,673,033,087,539,518,
678,285,178,234,990,200,942,126,635,291,662,561,432,498,014,749,329,521,969,
967,298,968,757,174,758,819,401,428,238,681,787,602,533,891,557,291,497,412,
078,528,716,665,287,861,855,965,401,392,999,174,964,862,735,917,046,290,944,
179,964,270,101,843,117,321,618,725,983,036,221,395,384,657,733,992,183,306,
335,582,231,708,283,955,041,025,269,109,835,211,989,910,749,205,038,202,369,
367,192,298,954,749,674,277,547,652,505,216,062,210,356,186,726,352,549,064,
505,286,499,464,492,160,670,220,632,390,012,819,538,842,144,893,946,471,924,
400,443,684,842,404,754,733,616,615,672,546,390,050,735,774,531,482,655,015,
918,385,867,186,185,324,757,796,140,397,743,766,657,652,987,155,684,333,562,
365,841,763,095,280,031,323,717,333,629,729,766,394,815,085,820,851,372,584,
442,995,678,460,718,512,887,277,399,370,771,405,977,450,006,167,305,356,598,
795,308,615,533,898,261,687,892,879,234,697,071,682,914,002,693,401,442,425,
155,852,857,758,119,669,182,929,229,340,855,677,669,656,295,520,506,410,134,
232,465,965,735,349,304,741,148,991,502,765,014,433,087,758,208,272,987,992,
304,490,803,357,512,532,897,396,750,741,520,472,167,429,563,545,697,384,175,
895,783,702,306,255,281,103,447,481,580,065,606,715,610,878,432,405,538,215,
766,825,660,728,063,761,257,861,136,934,131,451,553,374,314,665,190,594,796,
335,794,811,805,779,150,083,695,294,964,213,895,929,806,754,680,466,311,859,
059,463,298,045,327,762,092,745,474,442,857,332,991,693,295,350,255,161,445,
291,218,524,718,675,206,712,925,818,230,245,752,142,546,501,214,269,712,332,
989,475,718,816,930,233,419,338,639,275,074,764,628,180,488,849,222,933,667,
741,490,834,258,689,144,718,580,311,963,975,666,881,017,239,790,388,169,713,
293,882,880,277,479,323,810,650,315,700,330,193,300,477,617,666,595,517,412,
559,316,408,219,029,714,327,445,788,681,766,122,415,041,425,431,985,716,154,
102,634,415,034,535,958,487,497,859,642,195,165,868,180,363,496,903,354,464,
799,847,997,142,748,057,890,195,966,945,312,364,828,565,456,966,910,257,056,
262,476,175,337,069,631,525,483,714,899,685,240,407,918,409,465,507,222,905,
800,295,541,521,582,067,807,065,619,008,917,578,354,392,867,875,647,175,503,
301,908,765,477,186,309,393,983,595,790,588,354,483,474,801,018,274,306,450,
598,535,680,383,551,488,286,879,366,956,936,615,264,814,904,095,526,186,339,
950,248,864,331,978,413,983,713,470,065,802,076,355,841,942,297,685,785,697,
634,971,546,450,827,268,476,662,659,331,289,677,176,011,046,700,599,529,217,
491,183,201,153,838,154,335,735,601,035,966,307,576,781,672,183,218,510,071,
302,507,474,284,049,975,623,617,184,692,223,658,177,555,775,217,149,839,566,
143,327,913,595,273,053,836,846,758,369,612,911,086,689,499,823,919,897,815,
155,211,487,956,171,725,400,201,124,597,425,664,020,668,073,907,361,989,479,
121,736,980,581,983,011,177,118,935,331,375,119,198,055,869,791,038,067,296,
366,530,576,259,536,394,683,704,968,122,909,241,027,547,998,335,860,638,126,
825,353,148,183,027,120,500,387,005,529,562,103,688,051,667,156,493,710,259,
344,605,251,401,940,035,987,970,327,127,954,675,669,766,209,368,688,541,043,
729,779,157,928,094,896,112,312,473,573,230,929,325,229,178,005,574,858,072,
540,210,326,483,799,573,854,822,705,360,989,695,234,956,859,193,049,894,710,
906,652,759,075,413,693,222,117,674,827,685,269,144,833,242,908,326,014,924,
399,601,766,621,752,592,186,623,255,611,779,895,595,184,710,914,080,445,956,
382,714,332,942,723,732,001,264,731,936,734,878,730,621,665,355,643,391,017,
336,851,410,931,545,253,578,801,880,466,188,736,812,715,725,306,038,795,949,
696,041,177,710,228,732,111,551,701,172,415,451,705,037,756,249,041,176,412,
096,667,778,999,735,779,367,092,168,968,859,616,884,616,875,215,795,472,252,
112,743,169,278,807,325,227,322,856,271,959,952,920,640,991,788,845,867,191,
811,872,225,257,233,954,601,504,556,752,849,565,866,940,848,613,248,651,133,
955,031,092,514,417,272,563,497,661,281,208,327,777,730,946,786,877,947,279,
422,379,275,251,974,548,025,951,843,441,261,458,390,171,333,799,535,251,137,
759,309,723,623,023,627,871,204,409,868,137,262,608,238,415,222,771,863,008,
637,290,042,400,093,615,045,013,441,140,071,925,069,357,663,910,783,025,691,
762,934,429,407,061,297,824,770,305,762,618,455,027,283,650,740,110,298,596,
510,798,078,338,050,133,071,820,679,895,770,412,948,181,304,566,555,148,497,
391,310,407,968,236,560,725,745,294,224,334,380,370,304,194,699,948,890,559,
509,837,363,904,387,570,474,672,772,164,084,449,560,230,877,390,237,027,427,
400,781,400,000,176,516,640,375,068,278,484,008,337,440,778,244,104,831,655,
611,066,914,172,677,921,201,101,249,535,436,589,030,286,300,495,899,404,486,
572,619,194,032,181,336,464,321,447,879,461,154,901,323,830,165,258,886,962,
182,575,744,549,350,443,769,789,283,023,371,628,254,943,291,205,434,796,771,
508,330,916,431,534,090,252,676,473,907,963,471,722,997,714,460,320,689,432,
695,897,704,755,085,025,457,695,209,933,607,607,024,452,512,383,221,916,128,
122,777,879,422,451,181,727,235,468,117,494,556,321,539,767,392,659,186,858,
789,543,202,752,752,071,544,448,938,407,510,490,774,318,011,732,628,900,333,
633,349,763,697,109,858,133,424,830,989,900,466,251,356,042,100,142,386,357,
582,759,756,597,939,773,925,669,714,577,866,197,336,305,845,458,633,493,896,
463,637,900,806,346,500,082,536,439,375,660,777,119,192,706,105,328,280,841,
470,329,156,212,445,208,525,228,053,127,991,882,775,294,966,425,274,570,172,
961,858,046,700,322,259,840,532,221,117,866,704,604,624,579,949,313,508,639,
576,870,561,277,832,308,278,628,548,345,922,598,520,496,948,498,850,793,202,
563,222,923,203,592,720,255,725,096,236,943,905,844,735,153,674,856,923,280,
317,925,570,599,469,981,029,135,096,466,424,455,316,966,336,962,864,172,133,
772,925,635,473,580,723,461,276,392,553,745,159,353,228,232,477,749,342,758,
916,637,565,230,377,095,773,675,245,940,891,754,064,895,276,751,781,557,783,
916,286,967,885,849,354,783,038,126,571,292,800,882,090,496,962,178,913,785,
581,958,403,297,349,364,329,418,182,457,101,222,754,506,135,932,209,990,305,
741,148,521,338,312,332,493,572,084,319,112,484,176,299,142,616,434,923,224,
318,369,882,250,455,217,342,255,613,727,742,466,435,997,692,766,527,194,246,
632,670,907,879,990,014,229,867,861,364,420,395,824,002,447,165,336,459,511,
752,535,302,523,095,432,839,368,614,571,200,037,893,796,857,356,084,808,429,
933,266,117,851,142,806,847,222,057,968,553,347,409,691,310,645,895,538,572,
686,559,457,023,114,669,469,800,012,304,020,824,142,314,699,022,408,777,694,
516,458,376,000,876,277,663,760,229,978,045,792,232,514,347,662,489,223,699,
416,260,300,223,430,367,915,121,929,079,861,254,127,332,406,270,801,970,653,
730,294,623,491,836,555,673,333,151,280,716,718,484,850,649,059,928,468,202,
858,729,087,622,727,934,643,154,520,431,745,519,503,971,469,973,164,683,469,
385,131,339,423,430,555,349,505,901,426,722,631,489,121,263,146,496,973,289,
721,462,981,509,212,320,583,747,558,641,179,125,617,278,133,910,198,597,713,
071,960,504,861,813,401,478,045,179,221,516,201,845,462,771,147,990,107,745,
019,954,545,142,015,799,607,299,248,971,035,422,421,979,253,916,163,400,105,
328,649,176,470,073,094,981,521,298,789,695,783,671,599,100,870,324,452,336,
458,186,731,837,500,151,259,758,595,705,373,773,920,545,966,064,669,395,745,
204,311,475,954,346,270,898,575,613,946,742,603,543,746,665,305,443,718,825,
018,016,786,139,337,809,210,663,307,095,155,536,133,810,842,739,540,245,730,
211,419,439,973,774,757,551,891,186,774,153,653,756,936,572,523,740,610,813,
075,066,792,205,750,334,108,117,618,855,492,665,471,017,411,902,526,011,709,
304,148,492,999,904,126,721,308,572,926,282,543,823,706,720,183,502,694,872,
821,418,394,431,795,256,156,776,872,679,186,848,696,647,612,750,674,276,648,
418,182,805,243,152,877,663,177,249,893,101,950,641,125,743,643,194,076,143,
394,598,615,532,731,867,828,594,620,268,694,843,476,137,621,495,204,940,580,
856,267,152,369,143,313,516,743,126,934,505,471,928,529,206,021,902,194,965,
824,267,841,773,271,254,910,747,319,030,809,679,372,799,325,832,629,203,794,
865,265,409,081,169,315,738,314,269,013,477,135,341,011,982,422,864,984,912,
870,896,937,923,033,206,136,330,209,510,328,272,081,065,414,869,831,029,997,
445,040,323,853,004,067,812,771,322,635,252,333,388,447,722,145,358,797,253,
146,274,353,287,808,092,318,214,274,862,323,928,088,703,779,586,195,368,078,
329,475,257,072,706,575,756,485,591,887,074,711,260,944,660,227,554,844,862,
168,539,684,915,180,420,359,522,036,644,149,949,077,553,935,892,351,528,245,
684,969,928,077,047,689,767,758,139,820,334,958,485,170,568,691,510,536,353,
110,012,301,760,172,689,475,838,674,666,648,458,986,321,027,507,663,336,453,
001,602,859,434,772,781,283,698,816,052,176,619,070,629,398,932,865,547,451,
104,117,151,267,270,450,283,870,707,817,067,549,953,241,426,143,116,707,534,
583,124,369,922,410,792,963,215,571,821,631,691,941,449,067,518,837,767,432,
936,889,876,254,784,868,806,888,277,107,662,704,467,027,794,569,358,610,067,
139,725,469,474,851,607,763,685,831,546,262,226,317,069,054,401,128,107,659,
054,512,696,072,629,154,080,850,410,160,981,291,703,169,812,108,673,076,470,
658,364,658,387,661,927,301,065,183,461,275,000,730,701,138,099,841,717,484,
058,269,593,647,099,797,905,839,470,961,449,516,314,658,094,007,119,032,841,
513,018,227,942,944,444,809,040,971,379,516,545,669,730,198,261,924,553,402,
979,926,587,064,109,062,342,957,749,260,177,954,685,242,485,080,026,334,628,
724,889,270,390,252,860,935,037,186,974,837,563,694,306,996,638,989,169,849,
337,151,202,725,583,680,909,635,891,862,333,503,955,334,123,884,674,419,497,
442,807,887,827,791,783,345,676,355,148,094,620,918,247,438,077,185,426,691,
654,680,336,485,563,908,724,320,282,559,116,149,587,072,385,053,957,439,583,
789,936,356,435,926,576,769,126,901,712,799,983,423,978,998,299,121,024,115,
573,071,360,569,682,340,234,557,393,153,237,030,964,060,583,130,279,970,578,
447,017,428,425,780,005,977,511,998,766,831,038,482,290,668,846,243,351,426,
191,460,325,362,815,849,785,619,610,299,720,331,132,237,749,919,962,528,679,
725,700,940,426,206,051,676,873,077,188,603,736,791,808,740,168,825,134,742,
413,525,997,631,135,423,970,160,515,889,234,173,753,925,864,702,878,144,245,
784,646,210,568,234,420,847,606,467,403,216,570,120,894,242,923,421,702,310,
927,086,982,985,991,546,317,682,928,909,566,134,861,715,888,382,159,205,765,
446,839,911,515,936,559,765,032,750,007,576,338,053,071,693,550,547,291,998,
900,658,645,607,356,917,054,575,763,888,813,481,757,576,771,772,281,655,780,
086,170,024,956,958,375,598,741,753,532,037,656,383,369,097,543,796,886,867,
929,351,565,777,296,104,232,283,677,645,180,914,718,913,904,301,603,250,468,
129,217,129,924,235,347,244,423,987,791,622,109,006,370,840,824,414,360,646,
237,844,758,768,121,063,962,946,805,883,362,930,269,852,253,064,508,427,662,
991,030,018,379,402,846,451,046,977,433,464,630,829,082,894,645,244,680,484,
503,886,108,375,437,441,064,602,841,520,333,374,849,808,168,546,712,282,324,
147,631,538,594,477,501,605,331,889,861,483,347,751,498,571,075,232,644,682,
879,153,659,411,350,910,748,795,395,837,821,225,484,209,302,522,678,131,409,
881,067,497,261,641,311,150,891,006,794,441,290,955,893,178,134,146,831,149,
294,461,257,089,780,140,275,344,054,476,264,404,528,021,001,355,065,295,239,
346,451,267,044,994,655,759,891,557,493,054,500,681,293,649,442,308,535,351,
030,483,479,273,515,532,074,399,408,989,933,517,407,285,450,520,739,833,463,
420,995,678,566,460,080,177,664,468,046,602,324,277,793,373,607,288,403,658,
612,436,253,021,766,493,654,732,933,308,947,628,248,908,085,224,276,741,311,
777,123,082,252,271,919,611,924,211,081,706,614,834,862,136,924,598,475,191,
413,121,732,251,302,074,533,676,945,217,209,008,741,842,307,275,759,787,565,
477,586,336,630,694,912,603,786,361,257,177,665,313,678,537,141,654,236,295,
438,522,715,774,252,508,651,720,299,675,397,295,757,162,866,783,640,442,769,
074,223,612,841,704,263,682,985,581,535,158,651,735,238,655,903,322,431,531,
658,955,391,409,300,196,095,487,177,084,100,173,863,683,056,786,064,157,016,
126,183,264,289,270,170,913,971,161,312,287,336,754,938,763,892,247,278,826,
648,753,380,420,494,441,458,378,594,144,096,563,918,461,871,710,414,130,244,
086,611,653,726,373,892,692,811,395,252,988,945,570,704,305,477,595,805,536,
150,414,106,292,632,962,169,047,571,114,598,204,785,881,553,378,038,759,384,
880,718,434,905,107,087,070,431,616,486,449,001,857,557,575,470,474,271,942,
393,432,502,015,253,252,971,912,097,374,259,782,355,026,204,462,907,206,545,
310,765,596,894,560,402,042,597,568,153,855,183,187,015,620,801,331,484,561,
909,100,085,054,152,875,957,682,282,562,715,292,494,470,731,123,491,411,211,
279,479,904,276,975,298,336,725,246,239,173,669,303,188,079,708,908,928,626,
242,939,512,777,126,230,111,872,978,699,296,067,556,544,617,703,609,595,586,
079,535,527,001,089,399,752,195,353,522,749,603,384,628,326,243,414,211,204,
802,067,721,907,712,923,904,843,221,211,510,603,785,943,996,735,814,726,815,
041,018,633,902,136,321,158,481,961,733,371,789,382,773,307,579,643,975,394,
974,612,477,951,169,136,452,224,911,962,817,230,819,519,794,295,776,643,224,
706,229,236,563,378,996,922,963,964,691,165,054,293,359,771,815,968,287,684,
765,284,282,720,320,555,972,011,480,981,908,265,670,744,545,592,474,788,091,
369,267,207,912,512,499,136,676,664,608,163,262,596,204,677,050,620,119,648,
557,522,701,942,279,901,219,746,976,038,791,859,848,385,982,520,265,584,417,
818,591,002,328,448,299,576,620,692,782,767,752,948,113,223,567,975,386,421,
988,002,395,296,192,970,594,182,645,727,774,291,928,564,928,583,035,906,737,
446,755,718,913,711,288,156,876,133,623,969,367,025,010,863,082,391,564,245,
345,824,047,021,071,670,113,535,877,995,450,948,477,832,194,755,220,910,480,
105,582,150,840,483,590,263,007,361,437,325,317,507,193,139,645,371,511,176,
903,255,553,389,470,388,456,009,538,045,608,695,454,255,315,223,914,945,086,
907,884,009,615,642,608,114,571,064,066,514,458,044,352,307,802,007,006,488,
516,842,953,612,555,887,168,713,581,002,274,210,987,235,966,553,722,258,047,
465,512,647,174,393,551,439,422,495,232,772,943,121,088,919,785,042,774,252,
936,255,884,353,306,038,244,711,870,529,262,475,465,485,423,191,981,105,105,
275,920,221,306,159,086,346,929,010,325,413,568,777,579,506,543,755,385,761,
362,735,315,447,444,755,439,692,044,010,111,066,840,504,644,956,181,456,008,
966,762,667,793,011,102,499,458,671,833,801,427,066,276,977,407,158,557,170,
010,707,301,563,842,998,109,789,128,446,586,559,391,786,744,588,055,399,169,
384,352,277,695,637,253,605,114,828,412,533,584,886,141,560,293,263,287,186,
400,104,003,735,830,440,702,395,944,690,884,572,520,949,963,388,087,409,211,
211,553,492,768,167,374,267,026,473,630,304,494,824,913,402,044,883,065,127,
058,090,988,238,597,299,657,762,763,140,846,518,779,005,079,741,437,753,341,
238,367,153,666,543,622,417,243,032,214,318,517,508,110,298,723,098,035,903,
088,441,944,698,098,723,105,348,538,811,189,968,688,670,412,904,600,333,544,
783,156,974,601,328,063,281,873,044,288,543,147,108,952,453,567,251,855,189,
191,385,457,876,445,512,586,374,943,548,857,442,115,688,239,608,757,508,667,
177,130,310,344,131,569,133,923,820,526,908,657,204,037,967,657,872,587,624,
405,983,754,039,463,761,398,983,126,328,294,274,539,999,380,203,360,452,651,
151,562,961,031,178,342,581,121,266,420,316,549,789,217,068,520,329,175,410,
172,245,992,110,601,038,592,108,498,698,065,759,333,866,517,712,313,495,820,
145,425,132,434,026,662,958,824,967,554,997,567,535,001,689,570,618,408,623,
999,888,426,303,431,271,443,705,137,755,753,916,960,986,340,187,740,674,075,
328,212,577,838,278,382,910,986,453,362,172,732,360,043,568,427,274,986,092,
294,710,321,487,953,997,888,530,686,695,291,797,721,375,666,611,471,264,693,
643,737,511,413,754,598,766,955,557,049,052,563,576,760,252,106,199,062,343,
974,329,011,335,201,465,452,533,453,270,558,775,317,041,972,614,432,817,491,
609,099,855,181,240,919,898,172,771,759,257,900,906,067,066,391,013,403,682,
834,007,132,028,885,815,305,769,903,533,653,588,076,641,884,924,571,143,946,
305,045,845,474,555,867,344,563,135,832,640,096,300,460,193,171,705,018,104,
405,224,634,974,728,159,109,399,366,676,773,611,095,326,019,254,438,358,588,
139,986,338,830,082,432,906,120,622,560,066,063,369,530,845,245,133,351,702,
023,482,954,407,963,896,765,568,469,626,493,205,964,117,182,777,173,454,929,
365,397,375,722,906,975,870,989,548,064,583,718,153,034,944,254,819,136,904,
074,007,030,505,394,117,682,736,807,579,691,525,144,172,537,273,926,338,292,
166,230,446,367,622,311,077,804,624,730,688,887,266,140,217,217,848,221,611,
856,791,183,689,184,354,960,336,570,386,522,417,752,559,725,418,483,557,215,
354,463,860,729,712,851,670,873,250,957,174,827,325,193,403,675,281,502,186,
779,202,578,334,155,782,353,793,731,561,773,568,298,111,325,801,462,529,609,
582,547,295,699,189,154,427,513,137,740,574,167,562,331,299,207,904,252,897,
392,369,752,560,958,246,258,412,043,648,948,162,073,081,951,551,548,392,904,
184,640,940,041,706,059,880,274,780,042,759,328,057,682,403,341,276,839,043,
364,141,899,816,347,422,788,674,056,287,806,120,341,951,258,129,026,663,632,
316,712,790,347,435,383,910,582,824,867,376,759,732,308,775,606,913,255,126,
407,094,634,772,936,672,773,364,510,197,862,209,767,960,805,530,208,794,543,
279,103,155,304,987,372,820,041,236,354,068,003,104,281,589,423,783,088,504,
502,793,481,303,735,318,533,924,870,488,252,128,079,539,153,531,822,587,127,
710,104,207,999,127,263,727,552,963,485,699,922,850,699,900,557,331,949,629,
066,861,132,166,234,354,694,808,107,447,789,272,458,106,018,831,842,076,117,
280,018,619,390,868,900,214,850,120,331,461,074,280,975,762,952,020,522,959,
421,520,025,841,088,721,456,485,407,540,852,194,982,497,177,095,796,941,918,
075,096,714,216,486,979,048,832,561,125,734,795,616,007,391,826,956,556,594,
773,628,731,367,347,454,511,125,394,469,231,012,443,417,251,000,396,201,906,
624,721,953,099,556,006,427,705,159,296,360,874,010,195,056,962,663,127,379,
602,183,921,326,981,062,610,088,539,397,699,110,289,013,631,989,920,641,747,
691,002,758,446,428,621,994,014,511,452,299,437,853,806,685,924,736,848,006,
425,337,842,014,788,289,964,792,357,208,202,544,651,649,254,251,843,932,756,
573,574,798,599,901,846,044,817,997,538,489,788,809,100,264,663,573,835,420,
851,008,408,379,283,338,550,905,735,860,900,476,157,329,272,621,389,296,265,
708,870,332,567,488,189,658,802,613,984,647,010,295,896,739,542,976,597,174,
531,990,695,097,407,937,109,735,182,867,582,532,207,999,141,479,287,366,430,
788,588,777,302,220,868,511,916,103,674,470,482,883,515,515,026,277,694,226,
491,981,520,508,033,876,543,987,633,471,791,380,977,843,290,142,674,677,229,
975,059,772,014,229,448,454,763,615,684,445,576,466,682,756,115,316,861,605,
213,461,638,839,876,461,140,739,916,570,206,541,891,551,574,423,958,467,159,
436,833,046,582,288,514,302,757,105,169,997,405,201,003,739,033,490,879,835,
403,970,688,698,599,606,622,227,199,353,419,536,679,338,190,495,463,201,518,
557,308,239,164,138,690,251,981,385,429,836,173,673,635,538,625,298,733,240,
190,801,771,940,355,118,604,136,527,806,229,226,238,070,681,113,514,178,418,
218,394,038,793,821,500,664,674,555,354,575,435,597,687,851,396,348,083,585,
578,335,454,715,414,960,780,513,485,777,091,980,365,519,511,759,992,269,855,
333,761,935,963,905,836,276,805,130,603,227,187,577,671,790,354,165,505,025,
219,947,417,654,332,981,312,882,556,104,020,404,202,717,748,605,085,013,765,
475,737,571,060,825,614,355,636,125,715,086,972,781,841,035,765,355,314,464,
408,708,457,838,148,172,934,278,362,763,078,842,961,890,038,554,092,612,623,
016,520,845,948,664,633,495,430,860,772,678,667,203,447,573,303,285,997,007,
505,173,461,315,098,640,810,419,347,868,513,306,350,881,921,745,521,032,085,
296,723,954,633,138,416,009,659,761,418,461,442,595,785,388,429,483,812,400,
899,276,337,345,825,031,288,671,910,288,822,899,903,779,600,535,897,168,544,
478,104,819,060,990,417,616,605,632,182,612,085,115,910,980,535,956,591,990,
417,859,439,474,105,528,115,224,340,475,202,994,731,125,949,538,961,196,613,
516,964,277,253,042,562,515,550,744,231,095,476,705,691,009,476,715,059,202,
071,262,637,382,467,335,345,358,270,739,640,386,889,684,007,773,793,660,600,
495,809,348,790,806,793,289,537,054,805,775,970,515,733,392,241,819,118,587,
919,390,193,362,708,375,556,337,712,639,675,428,750,767,247,889,069,065,442,
040,247,519,864,132,577,826,581,012,897,793,163,034,208,487,791,674,037,847,
939,716,975,286,500,572,493,825,494,289,439,407,979,847,020,847,796,966,865,
246,957,927,824,892,224,591,800,348,011,975,774,528,353,796,625,674,490,879,
920,126,484,759,812,407,561,708,267,717,317,454,299,306,652,395,604,493,486,
119,936,606,036,973,025,715,713,419,375,130,102,003,264,217,319,248,586,911,
206,402,086,442,072,469,203,312,352,902,434,119,438,775,136,824,759,417,817,
526,958,217,701,535,605,103,149,124,010,043,585,293,106,888,966,151,554,351,
979,481,105,920,561,605,482,652,022,680,737,811,298,087,241,938,233,861,708,
313,915,491,248,707,891,016,342,764,989,823,680,638,892,699,464,085,835,707,
024,406,814,226,597,039,222,644,585,497,044,386,004,209,796,865,518,345,606,
216,240,200,963,396,878,338,277,641,401,212,816,741,307,099,278,682,152,263,
278,797,268,536,587,661,689,893,644,430,163,327,104,388,335,038,936,992,271,
895,122,797,780,386,416,537,117,114,727,792,779,497,150,627,027,903,087,215,
986,632,997,823,066,642,754,090,415,572,962,864,472,673,810,986,599,907,501,
471,552,741,022,624,569,043,630,619,526,652,125,610,873,929,501,120,652,704,
272,886,840,666,494,416,192,824,785,278,382,681,197,684,958,025,467,939,011,
147,743,948,062,456,801,436,799,671,413,271,517,154,983,935,252,912,520,002,
510,851,694,952,144,903,504,020,955,656,864,994,570,440,770,262,953,306,657,
394,885,099,090,954,711,274,772,068,204,239,046,760,797,952,125,924,651,308,
603,462,307,147,946,012,624,754,154,514,505,031,145,248,870,098,981,444,047,
307,005,544,617,894,238,141,372,203,692,213,201,303,418,523,506,357,263,079,
398,646,258,098,205,071,384,589,509,273,615,740,235,427,710,208,011,635,398,
389,847,192,031,071,528,737,586,618,154,332,190,146,967,041,292,124,922,910,
207,244,743,579,187,488,336,970,681,861,567,527,600,878,501,214,162,615,036,
994,978,835,679,907,195,138,939,554,137,055,401,591,698,705,270,528,306,496,
398,374,378,452,367,756,840,388,325,103,262,392,239,073,797,573,770,446,105,
642,853,166,244,705,913,044,752,458,722,653,271,163,744,288,714,783,766,655,
748,765,645,839,473,400,659,656,165,251,597,939,517,725,253,773,478,136,669,
075,775,063,095,086,227,792,952,549,006,564,395,678,135,683,993,581,024,043,
367,711,294,430,289,952,748,845,845,002,647,721,988,843,665,394,228,569,641,
104,699,035,650,023,145,707,552,875,024,821,894,136,520,977,036,291,602,069,
758,710,388,275,763,403,549,217,531,498,975,762,066,242,958,784,627,531,181,
623,361,744,190,997,679,388,385,822,562,655,097,709,265,317,547,023,827,988,
821,345,277,246,452,335,521,158,577,262,152,575,234,758,995,244,958,253,767,
062,120,902,242,372,449,069,833,451,948,434,504,078,682,341,620,631,407,970,
874,524,419,305,861,575,404,733,380,676,422,333,329,385,651,765,648,124,901,
768,750,871,003,610,164,140,383,241,765,672,561,164,119,007,456,183,266,825,
952,643,698,330,475,139,628,749,663,575,924,444,364,554,337,762,828,260,048,
213,473,887,570,987,211,053,737,089,203,112,589,757,287,599,416,062,348,269,
431,734,353,427,738,854,502,712,246,318,160,106,810,865,526,909,911,369,319,
913,929,885,187,326,241,791,410,277,345,547,621,315,547,364,118,653,390,900,
516,513,977,784,746,273,742,922,134,306,788,038,962,497,993,596,113,686,866,
506,888,886,164,138,693,546,105,224,458,414,075,860,481,947,504,837,739,368,
943,475,275,615,162,585,574,924,275,909,409,122,006,651,609,563,215,736,122,
660,160,073,550,128,431,639,982,571,716,774,002,154,206,686,030,973,420,241,
850,976,791,631,421,904,613,253,970,107,176,504,414,114,692,846,212,296,873,
265,107,901,737,870,840,198,106,265,055,397,405,039,367,311,966,743,468,668,
084,599,185,023,945,005,735,046,954,576,459,102,256,278,291,085,099,350,175,
236,300,157,547,362,698,123,910,158,675,784,310,527,422,466,913,562,127,202,
846,854,442,727,287,501,854,235,298,214,749,113,435,896,284,628,572,496,974,
880,265,798,676,769,531,871,957,550,747,971,341,982,995,963,463,198,181,798,
461,555,474,200,817,374,264,431,720,145,333,172,588,420,804,264,864,757,117,
174,702,125,671,356,067,243,105,904,770,811,662,293,761,403,782,456,140,537,
608,807,484,656,383,782,822,251,164,429,431,587,849,756,328,448,003,288,149,
685,529,959,316,099,216,455,916,650,775,075,098,803,495,086,102,482,275,290,
132,361,473,505,490,018,861,084,793,698,132,701,857,957,381,036,200,455,037,
660,213,508,915,167,137,685,464,438,076,921,686,986,185,932,418,330,699,900,
289,538,012,725,401,166,452,247,029,344,240,141,180,539,289,349,141,774,016,
246,969,120,470,784,989,284,041,864,860,030,925,324,777,187,946,055,008,597,
688,479,320,132,859,378,867,989,828,847,295,051,916,586,514,666,809,816,869,
108,587,704,410,405,965,374,578,296,317,601,049,937,455,052,734,026,784,738,
160,459,898,473,147,206,652,641,975,311,709,927,428,003,283,119,029,111,363,
262,363,180,352,956,946,821,432,740,759,355,568,433,981,038,797,075,007,449,
780,831,226,760,368,616,305,672,170,200,382,925,358,368,479,130,517,952,985,
788,507,508,762,904,828,125,396,368,169,226,851,599,432,584,217,140,547,355,
556,356,718,238,663,678,477,953,361,971,649,515,209,418,840,201,230,913,683,
123,506,961,629,806,213,184,408,220,145,027,534,559,807,030,710,659,529,662,
708,291,202,326,229,962,666,861,394,060,745,366,642,005,001,267,536,806,716,
436,833,825,970,680,277,167,442,811,721,673,796,558,321,518,055,580,995,991,
908,239,304,071,347,644,818,607,455,310,296,999,750,633,358,158,780,937,321,
165,332,316,572,719,929,511,340,317,104,796,767,317,946,024,624,445,707,078,
108,691,164,929,801,907,562,569,600,684,991,111,639,340,246,637,802,954,427,
860,043,380,389,517,204,800,420,485,832,862,648,550,195,199,225,242,036,894,
135,963,132,754,738,446,336,431,086,620,287,202,042,661,702,604,225,748,118,
858,630,208,445,891,248,034,926,186,140,377,344,513,364,080,049,566,440,157,
866,795,813,123,965,108,595,732,187,707,755,692,578,383,759,061,160,339,993,
116,382,905,411,411,501,958,649,843,930,287,426,241,673,757,472,289,115,197,
482,372,211,537,848,012,081,654,298,264,991,731,666,381,469,846,835,710,926,
905,122,452,506,910,078,835,520,796,858,316,515,826,928,663,902,599,924,964,
938,626,623,662,656,742,219,646,649,453,116,968,917,144,275,405,147,244,256,
223,635,461,798,534,967,420,697,702,370,619,619,267,693,057,474,545,825,914,
924,945,155,177,694,017,528,886,812,986,340,182,290,222,126,730,037,339,392,
224,176,940,753,358,509,609,788,654,953,532,942,315,287,369,457,584,052,927,
044,746,864,828,068,719,871,305,878,750,835,016,978,360,086,322,051,376,589,
121,177,831,207,467,294,559,403,991,939,421,639,393,412,698,951,504,567,221,
943,768,628,623,262,445,676,685,512,092,197,817,320,600,873,918,967,720,829,
669,724,096,518,820,885,866,099,922,562,781,565,893,139,833,272,458,051,933,
527,095,199,921,645,810,710,510,872,943,397,478,157,175,912,090,135,053,895,
020,671,109,065,832,358,806,178,106,242,456,847,524,532,946,961,443,510,118,
111,975,015,256,753,015,874,624,407,959,031,441,880,812,399,618,552,005,910,
864,513,624,204,362,934,185,770,628,217,435,399,704,412,459,974,757,549,272,
161,357,931,474,125,632,669,897,505,995,172,883,425,042,225,649,398,189,026,
315,193,095,349,352,615,208,967,902,459,602,474,303,392,738,199,909,773,416,
715,876,583,666,381,864,007,048,312,692,110,950,503,073,494,528,187,997,421,
615,992,866,170,253,475,318,906,966,406,903,871,926,773,498,656,764,003,095,
215,869,530,789,726,131,419,250,604,908,111,471,475,000,119,029,839,397,190,
215,181,883,845,923,459,398,309,474,421,144,816,512,422,158,017,932,004,748,
854,705,783,768,818,977,058,090,386,579,186,284,124,134,493,983,924,532,190,
672,564,673,746,125,876,250,536,915,135,193,153,832,597,098,581,653,863,511,
206,927,001,489,807,571,148,719,282,392,493,560,277,885,545,556,385,869,463,
022,212,875,398,307,222,676,596,977,510,225,088,650,051,681,827,185,812,085,
417,609,294,984,610,740,458,895,056,046,643,623,283,284,553,368,542,972,837,
288,418,425,707,105,910,597,371,964,519,647,184,948,218,766,224,847,209,677,
417,083,777,739,712,387,142,998,426,465,557,532,018,420,287,539,259,137,222,
307,196,401,411,204,114,364,581,674,463,529,172,552,549,725,242,143,741,652,
375,570,533,910,070,733,488,460,582,118,352,625,115,641,758,805,733,546,978,
934,843,990,211,549,461,212,109,011,979,695,227,769,008,195,302,926,872,318,
573,403,790,353,351,519,189,308,225,550,020,357,869,118,172,019,066,021,714,
279,816,181,663,851,581,380,770,941,854,817,453,413,974,607,285,000,764,932,
278,916,826,636,918,100,248,192,860,766,684,724,134,266,669,270,527,286,347,
217,418,191,579,704,517,261,668,651,531,439,924,510,365,358,133,155,306,603,
409,608,166,924,004,670,873,232,615,759,751,877,629,185,985,178,753,533,268,
941,263,538,130,271,889,630,768,253,744,409,111,102,643,393,425,294,363,400,
613,387,054,982,173,900,350,368,861,471,182,715,819,383,751,120,947,222,795,
476,717,707,566,613,942,450,924,556,421,579,668,501,537,223,827,383,611,151,
772,964,945,025,798,376,921,291,837,527,040,581,669,684,790,845,748,934,680,
977,777,073,578,472,603,318,843,234,100,609,087,931,465,190,811,117,889,323,
072,303,454,747,934,121,742,192,535,765,556,973,166,509,535,260,232,839,691,
651,670,027,733,780,087,465,690,396,453,711,230,211,159,735,312,449,253,355,
128,275,364,231,559,637,280,006,516,471,066,787,023,354,369,841,508,640,899,
244,254,000,074,359,359,934,623,379,170,570,491,038,716,458,987,588,236,842,
608,077,146,119,075,657,139,544,435,879,253,603,853,018,538,170,681,138,462,
550,093,105,480,509,077,588,922,778,858,601,776,254,358,320,584,935,024,520,
472,228,474,344,925,751,884,148,450,165,974,781,316,216,280,355,151,834,533,
292,187,372,810,759,860,979,348,896,604,313,155,663,970,203,775,621,993,418,
771,947,623,366,298,667,581,174,843,914,668,265,446,864,820,201,526,409,684,
089,340,107,200,356,668,238,761,827,698,514,925,134,767,261,512,095,338,401,
364,858,372,079,831,375,930,236,770,573,097,668,523,765,628,617,786,655,218,
342,137,505,918,679,679,809,445,872,532,889,165,503,625,874,521,995,556,914,
969,079,935,387,555,522,829,868,295,223,388,860,281,908,004,819,029,389,213,
245,014,805,802,983,034,188,393,301,424,721,489,539,951,248,623,308,552,348,
605,623,138,866,383,509,615,713,934,308,688,723,253,724,186,979,215,148,755,
128,743,712,692,650,560,930,998,131,828,032,961,240,630,043,048,513,237,306,
261,907,357,393,621,191,839,044,114,469,578,955,184,295,000,765,912,774,255,
747,381,889,786,864,458,189,110,133,777,587,565,304,099,854,804,051,938,670,
982,096,418,065,082,312,788,098,101,006,609,544,562,665,436,972,443,847,798,
515,091,337,190,080,178,433,311,588,929,229,623,756,226,963,277,546,714,125,
991,219,141,135,882,881,218,461,718,131,924,290,885,316,778,910,043,034,014,
139,161,453,063,937,984,500,863,295,146,953,734,690,343,762,833,771,575,920,
057,898,712,476,906,566,328,898,806,364,178,491,443,873,606,284,440,842,253,
835,220,788,686,429,385,755,142,897,233,723,621,881,153,529,808,282,847,482,
188,210,201,891,521,686,642,242,172,679,509,858,026,267,548,303,843,762,259,
176,553,888,831,006,020,702,574,215,726,060,895,849,749,605,825,027,680,371,
311,826,030,350,836,361,901,108,191,521,690,130,070,105,343,288,785,621,795,
799,770,915,595,278,271,101,249,863,859,165,617,081,930,267,718,613,760,295,
708,818,423,544,940,596,265,101,991,577,056,930,431,376,342,620,983,568,804,
761,161,939,327,014,850,862,755,416,961,878,454,085,962,986,497,292,270,061,
843,492,746,825,350,226,895,894,767,341,951,865,740,797,644,638,226,058,386,
486,325,462,751,747,185,357,831,295,231,729,220,167,360,296,696,277,602,372,
684,599,270,903,518,505,286,746,129,738,436,527,205,144,340,540,741,135,895,
210,654,988,867,169,218,502,472,082,501,186,174,227,948,630,583,568,755,541,
756,643,512,748,635,360,484,614,128,255,471,125,410,093,124,745,968,870,619,
406,178,911,498,107,411,873,927,407,438,287,524,316,831,299,875,561,410,192,
546,057,976,234,094,916,722,317,860,163,212,775,551,845,834,434,593,015,724,
920,063,493,207,060,431,670,173,999,748,744,410,618,811,882,410,124,492,492,
856,821,118,541,475,279,959,285,260,807,129,642,397,467,638,082,336,012,477,
821,159,615,662,990,080,183,597,320,524,209,477,041,227,190,385,591,227,405,
880,694,783,562,403,027,651,433,117,146,132,158,111,263,154,039,453,364,765,
847,360,287,752,363,788,793,623,969,843,126,603,907,681,904,332,255,535,454,
250,869,004,554,887,481,747,188,220,197,366,563,200,730,943,552,642,653,048,
003,179,284,792,032,511,564,002,982,457,384,904,709,328,205,801,962,888,707,
145,790,878,258,459,065,185,267,401,236,866,069,469,458,290,756,269,267,946,
248,844,568,473,060,966,258,834,713,759,057,022,335,376,287,566,989,469,053,
937,828,969,891,851,273,876,714,464,887,504,647,397,040,936,853,753,328,401,
293,415,779,912,238,484,500,344,417,845,818,115,661,356,228,646,520,274,878,
334,780,106,069,769,455,163,759,014,900,020,592,518,111,971,190,660,704,929,
040,380,686,507,715,672,654,069,370,513,019,052,091,497,837,311,094,057,571,
412,990,724,288,521,074,787,565,329,840,970,880,145,988,182,490,163,580,292,
557,864,246,096,973,203,100,396,122,311,769,482,609,269,079,672,203,362,066,
499,770,110,701,831,853,999,096,158,723,840,361,497,978,366,561,739,868,891,
072,534,302,161,106,922,956,375,240,441,357,725,372,028,101,357,129,789,590,
565,889,224,193,655,318,269,358,654,419,472,982,456,122,839,703,208,835,427,
147,003,853,096,955,471,719,815,183,147,225,040,327,282,825,793,076,053,020,
303,420,913,269,912,110,557,278,836,301,607,936,459,896,247,688,942,310,979,
079,364,624,191,262,041,209,308,521,197,468,633,722,445,966,798,568,352,877,
562,074,802,502,216,538,299,505,690,727,258,397,995,924,900,584,306,191,245,
781,993,696,349,449,155,660,437,181,464,237,950,298,930,718,518,824,257,521,
317,494,146,282,601,791,502,683,357,225,539,764,716,382,488,147,354,608,176,
291,336,878,876,123,984,601,907,876,000,196,306,539,472,391,349,253,129,229,
948,824,607,034,255,438,675,320,587,306,756,850,927,206,936,340,578,542,734,
065,582,507,164,097,890,038,258,137,479,992,344,273,599,734,901,231,053,825,
110,277,267,009,400,011,035,660,549,143,875,669,532,776,948,299,469,941,294,
840,936,555,638,986,999,291,848,226,335,362,388,721,721,760,703,979,806,580,
248,543,690,782,277,435,749,555,024,237,171,005,215,411,689,671,095,948,742,
418,556,306,403,067,115,639,946,959,489,855,351,123,202,244,949,174,771,487,
700,819,326,185,572,557,090,710,808,453,337,968,083,152,943,636,291,434,204,
301,291,909,227,252,065,102,010,667,573,355,604,522,131,217,792,404,100,267,
637,878,194,204,164,831,652,698,769,475,491,962,938,391,160,543,057,920,971,
836,819,848,837,090,525,451,656,045,380,240,161,242,866,706,241,172,319,851,
495,364,158,033,020,751,157,525,750,551,694,953,450,825,406,137,139,559,058,
972,883,913,931,800,336,665,684,440,258,247,876,312,611,019,387,658,147,002,
854,283,254,712,387,787,895,282,286,832,707,539,247,565,671,899,012,498,373,
025,651,630,425,574,413,461,100,225,144,088,079,110,965,582,407,531,095,624,
611,062,306,807,984,457,105,055,910,022,486,553,854,307,836,410,387,426,053,
748,325,208,554,503,203,034,645,521,696,549,950,676,931,771,325,122,142,353,
366,607,296,214,688,625,013,932,859,839,376,525,173,195,642,602,411,225,812,
012,428,907,632,243,525,010,985,965,977,713,908,938,601,628,819,635,378,324,
574,640,604,790,259,385,983,650,955,718,621,010,211,180,269,850,933,112,245,
491,390,593,801,285,851,065,130,100,064,169,581,576,575,597,079,173,585,670,
888,588,854,584,470,847,198,604,121,809,836,653,459,544,663,865,547,246,689,
853,252,318,087,727,648,009,946,117,005,719,671,745,305,473,320,015,938,045,
556,214,140,225,291,400,679,392,975,454,924,126,830,270,165,149,535,926,059,
970,580,344,356,644,564,748,970,799,979,103,281,565,548,250,152,167,705,713,
215,454,134,025,858,092,399,031,034,997,959,589,526,694,394,837,933,618,346,
079,301,653,365,874,024,226,604,898,462,695,351,940,011,780,464,235,269,868,
614,795,416,921,832,844,644,724,730,674,868,225,127,399,334,436,492,319,038,
051,267,412,320,418,824,964,887,473,634,971,375,658,007,572,285,803,177,030,
080,744,707,249,301,456,610,444,051,334,625,240,226,899,751,612,569,297,605,
767,731,393,387,056,855,064,219,252,064,119,973,313,567,143,958,557,510,259,
838,954,987,019,179,600,709,414,807,239,808,837,924,918,317,409,221,685,190,
941,609,678,817,322,547,491,639,075,945,495,280,858,381,771,987,864,670,326,
041,616,789,389,819,519,714,224,538,182,945,422,233,072,879,787,609,299,474,
658,624,470,700,862,231,953,052,887,126,888,714,188,591,512,373,545,905,949,
935,063,838,693,078,990,350,850,595,763,401,867,644,255,088,355,349,897,319,
626,858,775,209,255,261,081,329,036,948,774,104,264,530,249,116,269,407,049,
733,998,154,818,411,168,299,155,089,719,689,448,857,511,652,887,752,892,337,
806,406,806,555,815,443,481,517,198,508,754,074,823,327,632,459,077,201,302,
272,665,347,050,244,761,238,280,115,657,276,838,271,815,961,284,675,704,205,
178,948,058,328,174,768,482,685,565,429,329,486,750,214,249,249,858,196,716,
615,788,628,224,102,462,884,131,894,946,115,339,023,158,990,275,182,849,813,
681,993,632,183,848,818,164,675,027,638,257,907,345,311,520,445,354,712,291,
650,366,351,070,012,803,339,056,761,362,780,932,471,451,028,554,344,909,350,
557,909,149,022,409,706,483,005,223,689,426,302,630,952,019,538,226,105,566,
616,310,115,076,354,378,976,428,087,038,859,200,643,361,290,146,800,176,657,
619,556,763,761,760,972,737,726,719,203,638,626,051,438,310,689,584,227,909,
231,861,904,039,539,642,700,736,928,922,685,810,152,140,770,826,062,858,332,
689,059,194,124,858,787,350,998,115,363,323,964,127,612,581,424,925,782,431,
794,293,018,198,337,491,396,611,541,156,129,690,528,893,075,325,729,364,335,
048,586,832,017,078,987,574,805,892,619,111,307,125,599,722,025,870,119,628,
128,405,132,493,194,248,762,544,075,577,445,261,435,652,831,776,195,658,789,
897,279,886,153,397,657,418,878,944,946,059,668,189,952,527,427,751,469,674,
825,350,664,825,434,611,942,588,022,985,900,034,765,114,347,436,862,575,538,
429,453,151,593,129,787,949,046,992,973,871,278,313,726,803,594,272,181,140,
901,255,382,022,080,889,866,013,543,709,766,629,115,749,803,471,081,302,408,
767,849,915,262,095,140,019,080,113,804,015,465,604,009,567,593,455,589,776,
136,202,831,231,870,609,092,755,946,961,771,304,514,852,380,856,902,688,919,
194,145,621,066,071,855,837,942,558,268,901,687,825,471,513,463,521,014,132,
126,145,355,073,209,930,450,302,605,649,232,127,426,708,264,559,507,615,502,
569,198,581,665,479,084,736,705,262,592,232,449,243,362,810,870,634,129,809,
766,265,182,061,174,130,675,768,672,992,815,651,920,938,868,944,269,860,612,
090,470,009,355,434,840,267,722,133,967,526,168,047,942,882,059,975,988,547,
504,071,414,587,369,028,254,314,596,080,842,324,088,267,224,864,371,053,761,
668,647,842,805,656,986,944,775,283,889,655,566,839,001,459,575,702,424,856,
243,654,255,955,549,778,440,166,647,543,727,724,040,222,437,440,765,680,975,
366,268,444,226,772,371,082,504,803,974,352,785,500,538,489,576,739,087,660,
929,524,741,053,432,354,536,575,694,222,361,325,163,301,544,606,870,476,975,
517,077,952,259,522,987,372,364,239,095,854,059,395,086,820,582,691,502,218,
098,775,547,493,311,160,405,982,614,575,942,556,206,005,149,084,667,523,603,
412,629,135,103,619,162,212,127,798,598,025,124,113,606,760,663,313,028,458,
963,199,985,403,256,062,231,023,003,122,149,564,010,351,276,902,722,893,596,
442,348,448,971,427,003,240,666,619,416,731,563,831,546,863,722,116,773,320,
828,803,494,544,329,364,909,846,649,232,775,020,090,573,005,096,597,434,269,
589,683,047,393,174,578,124,933,335,652,624,925,058,123,622,944,246,646,281,
573,226,481,556,158,812,174,098,610,256,099,952,102,247,503,871,575,119,895,
499,738,087,707,502,667,948,525,341,559,061,081,498,573,078,733,796,095,619,
638,085,858,369,962,084,747,201,099,441,696,094,797,074,727,672,001,947,734,
235,148,665,942,351,913,789,751,809,523,570,765,370,457,254,695,455,199,773,
577,865,884,981,777,009,487,763,980,540,377,591,228,063,845,011,684,852,552,
005,210,697,849,662,968,187,820,446,079,880,093,436,102,477,162,434,279,106,
493,674,563,016,535,659,331,951,988,137,560,879,643,055,516,361,031,499,056,
659,086,959,197,192,247,033,934,528,686,830,505,318,964,040,584,816,137,550,
771,733,817,270,681,807,736,833,662,978,396,709,181,318,848,064,738,366,601,
589,614,340,248,831,659,106,887,994,507,202,385,523,052,161,585,709,106,960,
986,292,388,871,223,757,974,259,040,947,641,452,387,539,779,314,200,536,410,
689,129,434,789,950,318,899,985,079,990,817,214,217,660,770,824,024,289,783,
959,631,815,573,348,820,854,873,959,382,897,092,319,914,049,225,219,883,642,
892,324,458,529,448,154,057,321,437,723,752,011,454,956,659,060,711,366,087,
180,470,750,595,122,859,005,875,092,788,645,008,443,680,557,035,976,602,991,
373,375,429,198,177,889,683,843,258,348,957,673,713,472,625,044,670,349,781,
620,880,699,848,295,424,235,596,612,254,167,897,406,448,314,707,459,852,417,
751,159,426,578,343,819,098,680,266,153,157,004,862,071,697,920,312,716,708,
708,315,608,196,322,112,399,374,970,388,270,418,700,525,587,046,022,817,488,
443,867,564,895,560,894,024,642,869,972,812,584,099,429,991,338,754,041,116,
145,652,809,940,275,176,766,232,095,894,147,621,231,146,734,176,100,803,515,
454,638,722,978,600,397,529,609,344,036,795,734,050,585,663,540,234,925,171,
924,597,441,065,810,252,224,384,318,091,714,220,813,408,517,677,881,324,338,
002,899,472,897,434,796,327,097,118,195,266,963,050,667,843,318,522,169,996,
591,102,961,167,779,673,109,959,903,594,796,192,911,107,664,010,686,012,560,
312,358,807,220,861,177,124,380,289,538,377,553,311,983,216,452,848,094,992,
415,924,905,771,252,040,689,162,157,315,467,596,967,516,000,043,534,128,974,
542,698,658,055,812,895,145,159,590,601,287,305,902,382,761,115,768,861,210,
723,042,563,462,082,237,459,354,884,819,198,276,192,629,071,357,791,566,452,
275,214,835,772,683,702,886,852,171,695,833,815,648,373,481,818,131,293,313,
627,850,371,690,630,841,386,292,259,762,382,950,734,657,543,756,943,390,480,
220,589,951,468,103,209,419,851,540,886,928,208,875,758,680,756,387,581,735,
058,085,759,766,196,007,356,437,364,827,468,346,933,474,769,174,585,926,209,
985,802,401,478,451,466,803,254,406,605,198,781,632,198,920,200,418,793,850,
466,325,215,969,787,612,301,621,835,296,355,760,524,278,473,483,655,430,627,
308,811,563,313,234,023,679,381,171,938,076,896,369,786,625,590,766,575,801,
256,432,328,550,598,802,923,675,792,623,190,333,402,392,536,560,807,239,971,
021,509,469,588,400,263,746,360,958,083,815,476,779,979,974,781,111,062,259,
553,633,544,373,262,997,369,357,075,936,019,057,419,733,859,054,576,734,614,
920,235,996,424,282,332,268,430,080,284,006,535,727,389,391,202,868,559,273,
588,426,831,712,943,171,991,223,749,291,649,323,746,015,167,297,687,603,026,
857,238,373,542,569,082,195,116,746,782,252,939,035,545,015,627,678,420,371,
712,447,822,587,155,838,580,905,711,376,232,170,419,507,953,171,062,297,614,
509,148,204,060,164,839,974,818,603,748,140,139,719,884,000,467,063,333,376,
158,859,941,447,795,328,638,620,314,427,554,158,606,104,642,895,683,222,808,
583,451,687,307,531,866,364,741,647,458,402,973,249,059,539,398,070,495,456,
156,044,256,995,231,062,675,017,872,170,832,945,067,841,830,181,209,469,704,
484,949,570,552,437,564,015,525,950,639,617,099,525,526,043,996,323,983,120,
923,047,891,577,125,969,441,753,644,940,668,445,563,423,405,331,077,434,407,
627,591,218,072,832,278,087,387,756,048,140,430,019,373,454,074,931,724,864,
374,749,055,965,366,080,593,010,002,387,785,431,899,666,207,977,763,723,895,
994,361,451,940,829,535,152,597,076,903,725,201,965,100,914,514,300,764,257,
580,064,899,831,941,461,492,843,126,423,719,167,573,006,625,898,576,194,912,
426,004,118,075,821,013,173,884,104,225,311,135,047,747,858,754,739,574,181,
001,407,686,532,159,072,618,406,984,469,968,933,150,353,791,586,884,894,739,
632,351,184,044,145,419,077,417,671,446,123,920,090,309,536,891,637,030,901,
581,175,778,119,872,412,323,077,565,112,170,736,354,716,612,040,821,454,050,
071,092,539,211,023,590,442,117,840,415,071,042,016,279,964,081,539,108,998,
289,670,428,922,860,069,337,107,628,987,067,927,837,769,377,379,390,932,287,
696,593,607,117,823,777,823,319,347,948,218,531,327,145,220,192,964,101,231,
048,327,022,385,534,816,114,208,640,465,544,712,761,127,389,198,285,845,723,
336,974,167,788,716,497,967,906,952,997,803,953,659,145,600,308,708,761,985,
735,526,394,203,176,619,506,836,668,232,229,118,359,638,043,613,822,188,639,
749,851,135,708,977,802,578,433,434,062,726,255,856,010,714,345,903,496,701,
707,803,561,243,596,886,428,690,861,763,357,692,342,372,235,767,328,814,745,
309,352,830,600,453,195,891,949,909,710,020,434,097,749,600,591,904,374,562,
249,356,502,010,029,582,101,771,390,092,291,289,590,729,537,620,360,329,895,
158,611,067,907,762,922,303,594,004,595,814,401,397,559,143,421,587,585,149,
010,591,006,597,498,147,440,127,489,646,246,881,765,573,178,966,999,769,260,
033,211,344,176,045,978,082,521,092,543,231,064,888,040,996,287,601,284,490,
915,903,694,708,949,221,636,099,417,024,163,517,717,387,357,021,813,647,202,
717,313,065,117,104,832,953,760,314,667,966,537,435,325,367,179,723,146,664,
610,288,059,433,874,268,471,139,717,590,621,707,247,665,984,080,613,698,433,
769,628,770,657,747,585,138,638,271,230,934,809,389,874,119,682,212,969,591,
060,040,506,019,801,064,020,826,323,470,210,225,781,189,461,791,754,853,824,
898,533,932,967,833,836,521,470,789,334,582,553,956,665,903,542,245,760,968,
571,381,038,939,812,744,438,193,029,983,825,181,533,129,642,234,817,272,363,
573,032,302,102,364,611,597,634,218,238,870,668,986,815,931,496,570,528,055,
382,914,678,904,099,085,088,562,788,872,006,216,026,249,537,672,125,878,743,
228,102,905,403,256,593,036,179,184,080,269,992,112,417,142,557,072,788,908,
988,258,446,658,634,108,381,900,869,360,566,808,130,905,212,712,167,406,675,
888,552,983,973,164,459,942,966,252,676,113,671,294,544,157,163,176,077,380,
311,413,623,772,535,202,626,504,085,399,586,002,772,876,950,612,874,031,712,
647,075,439,248,263,905,078,174,186,802,779,581,314,976,425,436,299,111,733,
939,365,581,261,577,453,664,006,747,272,886,731,965,320,388,670,263,140,431,
602,387,704,468,720,888,912,615,662,342,678,248,955,383,060,386,928,390,795,
980,900,136,415,205,098,388,525,284,718,979,534,491,117,680,453,489,741,810,
199,863,307,870,100,727,426,899,383,049,548,528,885,249,058,700,618,815,845,
796,415,552,359,750,948,788,595,713,171,814,348,719,011,011,303,811,355,441,
355,860,254,172,681,368,015,931,652,828,225,358,176,847,115,553,418,347,513,
472,100,759,049,564,408,648,383,659,635,754,013,529,242,107,134,176,006,391,
621,821,994,782,738,271,688,771,529,938,864,497,056,917,223,572,090,178,594,
944,343,874,753,175,300,167,366,964,887,454,855,255,475,874,662,601,093,889,
908,141,824,619,126,435,873,003,911,717,987,506,015,030,365,928,931,529,647,
252,270,382,802,687,380,001,931,960,578,298,761,873,700,945,910,068,449,184,
313,140,596,084,300,431,876,185,968,082,981,821,248,063,529,490,333,938,316,
428,457,136,139,730,422,744,987,824,901,842,436,797,706,519,035,720,424,001,
581,348,810,241,182,480,958,404,081,602,889,824,408,858,919,846,805,791,280,
596,343,302,204,935,656,750,096,927,309,433,277,684,953,689,685,329,216,624,
555,509,203,032,878,159,579,926,341,656,839,200,235,720,473,125,082,520,338,
314,782,948,498,159,562,704,937,872,007,729,066,949,912,708,044,602,756,888,
038,522,844,486,204,599,251,949,388,941,960,385,371,582,976,990,346,138,523,
607,870,151,419,319,856,761,254,243,182,130,021,761,319,148,350,610,775,194,
204,861,995,982,103,663,885,515,997,315,087,223,642,935,782,047,303,940,027,
948,692,123,031,211,228,381,618,874,077,822,078,256,590,970,412,124,341,374,
806,844,487,316,701,133,331,568,074,002,600,528,156,649,546,891,574,912,261,
496,111,029,926,049,240,612,973,676,440,680,535,766,415,618,758,292,882,669,
592,166,488,158,706,814,249,002,574,297,472,766,373,546,441,522,875,229,076,
499,805,895,212,254,126,536,967,226,357,516,912,405,692,252,560,230,544,898,
304,426,054,067,139,400,338,199,071,032,811,348,874,327,995,524,135,320,020,
374,075,564,987,649,768,817,828,729,390,600,802,937,362,460,478,414,977,345,
424,146,812,704,745,011,795,140,254,139,932,828,971,565,012,552,109,228,012,
976,188,678,053,055,626,146,220,868,220,817,886,875,839,878,027,753,642,190,
588,705,128,875,298,196,979,882,224,767,149,687,764,987,115,691,240,209,571,
662,720,113,415,180,742,784,156,300,598,130,572,020,725,552,962,083,690,016,
415,238,086,768,063,647,304,835,815,917,582,012,745,406,298,673,340,216,441,
607,901,784,912,277,177,604,000,000,239,370,206,837,414,319,675,304,048,254,
139,683,767,557,187,191,441,254,321,605,729,533,897,586,287,688,817,350,042,
384,835,642,535,952,427,675,768,079,886,209,275,532,033,256,839,027,727,355,
271,044,767,822,900,493,149,238,131,338,086,509,849,677,252,797,190,628,880,
644,446,652,388,582,704,575,571,575,683,905,528,938,329,989,446,397,396,158,
740,124,166,494,081,694,495,960,694,349,630,139,131,271,216,834,176,566,243,
179,632,173,437,723,295,636,312,427,673,772,027,138,810,778,396,528,636,041,
813,620,359,438,619,250,995,132,364,344,920,360,216,305,442,445,313,578,354,
496,338,039,680,163,459,514,363,049,810,772,200,344,419,310,457,437,570,626,
971,051,442,046,509,267,540,121,529,534,355,393,066,547,298,394,030,703,565,
311,426,884,442,766,015,870,380,046,489,047,357,085,039,200,916,666,107,212,
823,191,320,091,614,138,142,266,053,345,899,642,324,899,765,399,889,764,177,
002,181,903,532,498,262,821,968,315,993,608,449,083,686,020,897,838,232,355,
059,943,831,646,277,889,353,319,497,276,403,307,649,400,958,879,740,235,568,
274,771,069,006,401,802,419,171,642,232,726,845,400,987,696,979,558,924,635,
890,082,022,507,451,435,133,743,078,527,731,394,793,207,692,677,573,034,854,
442,605,427,898,295,688,083,378,989,600,201,850,218,894,409,006,806,944,154,
970,229,946,555,449,875,404,856,720,766,635,577,162,763,980,916,986,318,994,
971,742,664,620,863,001,231,034,381,233,960,600,544,034,752,942,658,802,382,
584,037,330,397,502,714,090,438,522,800,882,077,909,014,069,155,070,851,402,
690,774,189,185,504,987,959,670,097,491,117,004,643,831,896,664,181,284,435,
655,236,380,556,566,535,755,654,265,263,459,845,149,625,525,570,210,462,293,
410,380,708,293,066,402,066,484,212,654,439,096,481,307,387,474,069,977,533,
056,423,508,685,766,370,146,514,524,708,470,377,505,067,581,061,921,095,136,
089,837,647,586,291,081,042,487,069,886,744,391,525,269,638,343,291,404,716,
680,024,941,069,119,376,591,054,706,640,534,946,787,635,640,839,673,305,645,
875,140,884,274,851,543,220,947,124,730,857,713,001,646,238,405,726,293,175,
079,207,513,894,625,643,577,669,897,754,803,554,653,114,283,301,790,942,464,
938,307,622,378,486,740,549,229,198,497,278,376,980,600,512,704,369,077,126,
595,065,163,890,233,524,302,525,665,568,447,857,790,256,688,305,391,496,829,
251,845,724,351,101,590,488,351,121,608,265,847,942,118,942,012,645,061,188,
408,393,559,252,466,778,453,492,609,487,027,445,448,192,690,085,784,234,273,
173,850,187,066,777,274,064,140,371,392,305,685,516,287,459,826,762,836,686,
740,005,069,215,899,337,789,443,047,859,327,372,963,980,054,867,127,268,877,
357,406,447,582,846,076,730,296,385,465,847,792,534,073,291,328,344,487,286,
971,983,408,562,121,205,858,137,609,285,783,277,178,427,664,428,856,287,616,
361,185,942,827,850,080,944,551,315,831,741,332,036,888,679,110,816,356,934,
883,349,207,869,128,294,484,349,025,864,254,072,604,725,570,191,817,710,181,
675,793,943,129,507,714,181,085,574,920,029,906,586,942,665,263,908,719,101,
217,037,047,333,946,497,356,497,076,913,789,425,681,017,336,214,724,872,778,
242,517,821,632,936,539,857,448,286,397,980,959,262,814,137,145,050,378,454,
413,106,721,408,658,687,009,681,457,980,495,381,371,233,091,023,600,033,213,
003,465,929,936,683,152,855,559,635,043,256,580,099,201,059,208,726,290,842,
536,628,679,989,913,053,297,198,697,386,082,056,880,041,924,952,419,773,560,
580,479,151,690,194,912,720,781,437,295,199,277,840,040,839,456,605,801,435,
523,468,261,403,618,911,784,874,657,860,155,513,682,665,282,913,726,326,104,
677,047,750,846,612,982,294,190,583,202,637,965,087,475,722,189,011,492,584,
186,571,105,859,068,175,428,161,146,783,597,908,662,260,847,177,785,635,927,
505,286,561,379,531,970,499,728,265,900,336,277,053,034,482,867,612,327,935,
095,240,852,823,441,629,192,040,795,619,375,531,025,952,069,148,237,446,090,
788,788,123,651,138,545,401,150,945,057,214,389,966,708,751,837,416,849,010,
548,710,681,270,876,627,755,064,779,772,385,402,653,128,138,321,102,704,907,
184,061,583,172,555,272,073,098,135,525,724,915,945,711,097,412,973,056,822,
165,180,701,266,070,667,015,761,323,128,215,871,680,280,137,649,539,849,792,
343,152,633,812,300,935,433,655,599,808,561,573,066,348,361,629,024,849,927,
639,558,600,341,916,668,539,401,188,363,264,353,483,063,945,471,175,517,107,
399,001,557,474,917,269,357,251,737,840,507,433,258,308,125,010,856,521,541,
511,826,858,759,943,721,719,376,899,130,205,085,185,954,627,771,048,002,882,
698,450,878,426,914,470,140,663,909,259,601,015,996,810,567,978,159,288,156,
522,742,538,378,056,991,180,356,071,829,415,646,333,428,421,738,335,260,349,
709,929,023,995,066,747,700,042,607,889,538,036,068,417,660,698,133,252,366,
570,537,209,227,024,051,344,265,922,816,794,873,479,026,896,283,293,043,548,
613,455,995,051,803,706,890,712,233,824,356,601,404,427,223,417,139,958,105,
620,609,973,565,188,223,225,445,030,580,067,039,935,968,355,316,205,038,093,
151,385,321,298,541,609,442,860,692,001,746,818,757,236,416,995,080,442,955,
825,333,357,081,838,574,275,849,015,200,646,146,059,398,577,242,455,186,532,
382,949,022,834,727,923,212,489,064,446,602,283,073,078,306,047,167,963,189,
023,289,984,597,222,723,806,318,447,866,130,145,345,453,543,308,022,201,070,
719,471,238,504,091,443,153,374,043,407,580,864,681,226,168,881,283,384,802,
386,086,175,222,276,194,357,282,625,612,613,976,344,053,054,049,101,257,798,
102,432,228,288,035,753,381,269,654,571,458,977,545,234,815,094,266,346,753,
513,568,196,104,058,506,856,194,697,587,566,262,557,794,692,877,854,876,399,
277,976,601,581,864,309,027,107,722,355,898,466,623,824,741,631,285,551,616,
916,154,149,287,376,014,217,590,588,470,941,089,462,336,528,536,000,860,826,
208,612,963,628,155,471,740,001,108,186,068,421,995,375,385,562,284,725,571,
608,828,738,400,777,462,610,096,693,262,027,894,124,898,659,079,637,188,436,
652,979,441,065,081,984,254,397,846,087,717,682,440,368,707,396,906,009,521,
835,859,223,329,063,242,592,077,487,045,912,606,905,931,742,905,718,459,025,
655,384,787,626,947,878,562,382,886,117,750,258,029,837,467,969,713,084,496,
167,286,731,888,481,116,042,136,758,303,437,522,562,009,247,420,501,802,543,
979,398,599,812,640,965,165,236,413,288,845,049,691,175,197,987,809,966,801,
298,201,372,094,697,808,578,895,512,993,615,496,966,896,698,375,164,159,496,
393,074,357,722,007,970,446,939,708,251,175,417,411,400,551,712,822,707,971,
093,258,063,061,191,579,147,043,084,251,920,230,835,503,180,290,984,617,228,
136,131,881,214,489,254,638,015,689,559,132,839,974,488,188,881,326,805,734,
294,308,450,244,020,369,995,837,428,557,352,643,897,035,259,957,831,831,875,
323,301,355,203,538,059,522,055,971,177,219,508,525,431,252,770,545,096,716,
905,186,744,414,830,174,688,864,368,061,868,172,362,140,140,544,205,923,481,
755,805,312,401,987,418,960,716,420,458,645,667,328,042,721,453,185,520,808,
736,835,616,430,744,974,806,932,266,144,248,449,118,824,776,782,567,411,306,
636,830,358,309,496,936,501,768,474,861,673,861,909,149,020,481,754,402,416,
539,729,139,968,907,283,828,944,517,643,246,015,799,686,484,224,308,001,075,
267,013,982,612,011,430,420,124,414,108,722,668,871,264,174,867,413,502,205,
174,754,992,358,894,762,155,077,490,287,379,568,726,828,249,578,114,542,027,
490,795,403,795,769,987,935,550,016,442,976,481,793,551,700,371,623,049,534,
838,017,889,960,119,550,773,018,384,454,422,984,494,286,234,875,492,292,146,
293,309,770,990,229,214,313,495,342,241,249,410,175,654,192,550,283,896,894,
401,955,696,245,015,394,021,704,980,737,133,749,995,419,954,813,030,832,703,
851,400,560,688,363,265,370,957,334,978,698,444,514,369,074,547,372,531,493,
231,258,726,877,693,020,232,835,317,245,668,561,050,224,650,501,885,644,295,
885,377,621,526,634,971,957,319,540,273,600,680,304,808,780,900,068,692,221,
625,178,179,467,845,784,862,190,153,867,661,565,260,440,791,270,798,172,134,
854,853,804,587,012,654,428,663,470,484,442,367,967,078,841,830,889,749,573,
900,801,976,925,366,891,584,969,036,358,076,473,424,329,112,236,653,817,800,
312,008,621,238,422,906,000,706,034,806,764,005,490,292,811,873,568,099,379,
542,167,409,091,834,871,790,355,186,228,348,768,878,126,149,682,424,076,403,
590,616,714,116,089,321,506,679,364,733,403,970,052,748,082,921,569,853,907,
428,194,445,813,075,763,871,946,697,468,164,347,127,124,738,959,291,199,116,
265,516,669,777,839,161,015,265,639,347,566,486,021,624,189,292,493,204,261,
997,272,970,210,411,760,929,792,299,652,767,613,625,281,976,249,310,599,013,
145,663,479,099,117,396,014,549,220,022,256,647,799,464,039,942,896,011,446,
319,180,983,713,697,602,595,424,571,304,506,588,209,184,130,566,993,107,029,
352,109,932,070,782,763,239,502,646,273,368,904,001,812,638,425,735,696,712,
609,075,146,859,442,234,878,251,171,533,698,900,559,585,634,696,210,893,473,
970,049,366,838,936,284,703,100,353,225,544,257,895,398,214,189,982,592,682,
620,617,660,897,475,762,035,932,195,055,854,643,764,148,814,939,226,801,308,
110,527,337,886,627,345,064,674,902,930,480,129,471,350,402,963,077,444,216,
705,047,882,027,652,250,188,317,815,767,927,801,745,334,695,907,698,777,468,
497,146,860,033,602,023,534,027,203,339,172,649,303,171,255,207,724,817,054,
679,795,091,769,138,441,560,262,690,841,879,064,428,991,734,661,950,724,515,
633,560,270,510,264,146,141,921,535,040,279,200,528,535,871,107,472,722,679,
540,887,843,169,809,681,660,898,058,958,193,207,173,562,350,248,650,391,955,
049,503,010,197,895,045,073,823,563,392,485,848,046,136,028,081,053,602,752,
577,568,621,699,457,653,164,370,177,929,893,014,738,612,547,367,152,400,113,
659,723,888,704,439,863,627,346,668,422,418,190,642,487,058,549,880,982,869,
168,380,019,132,217,187,059,009,898,865,004,198,139,441,937,680,500,117,839,
588,339,997,638,904,741,403,772,456,969,185,946,132,454,220,543,131,219,381,
863,967,199,675,942,221,090,649,527,730,871,227,526,367,682,283,184,156,566,
614,406,763,797,044,321,089,726,935,991,158,095,449,978,848,652,619,115,017,
696,268,774,694,929,470,691,922,883,872,836,264,242,445,592,944,276,677,537,
095,500,988,407,740,956,820,662,341,773,153,224,305,448,813,575,897,015,465,
844,737,118,043,296,052,989,986,186,561,453,380,236,166,032,410,447,557,609,
724,103,855,940,809,660,265,723,884,979,926,183,408,749,013,567,170,911,585,
700,246,971,363,593,592,784,576,689,135,511,019,661,161,366,633,177,851,940,
228,822,085,228,713,191,205,878,569,757,385,110,235,015,947,174,645,443,215,
087,857,366,299,557,031,536,949,315,068,568,961,129,823,317,337,327,656,419,
899,941,144,289,709,826,504,076,296,424,975,787,242,499,520,883,566,399,867,
821,214,376,923,463,317,067,852,557,256,979,267,378,747,564,142,771,708,815,
051,068,206,219,303,003,375,513,750,120,308,238,716,289,901,751,601,286,226,
597,977,526,347,287,108,717,465,905,440,957,195,173,274,235,088,612,427,965,
176,977,639,943,801,301,720,816,465,951,216,100,899,142,195,880,574,997,606,
347,707,832,082,212,112,744,568,530,900,489,683,200,127,373,802,009,494,396,
001,099,924,552,807,265,083,703,318,632,118,093,110,642,752,273,772,445,007,
791,469,823,360,481,712,178,593,463,100,877,313,628,567,608,325,501,531,875,
453,450,998,244,921,068,692,685,998,558,368,242,971,941,786,346,380,411,321,
400,830,515,368,519,904,468,173,244,123,429,684,168,038,318,204,848,511,818,
159,178,039,137,848,102,889,168,474,617,717,380,236,450,675,748,394,213,090,
336,044,315,762,260,708,189,559,144,250,131,404,713,409,659,850,278,751,145,
307,191,496,768,824,566,454,525,518,673,007,081,158,112,545,128,163,281,185,
637,229,548,548,029,226,884,307,212,554,954,447,240,740,100,379,424,231,473,
863,863,528,537,386,473,290,539,652,779,096,593,859,601,298,574,991,508,132,
132,826,304,217,671,722,283,999,030,184,485,460,909,150,564,088,425,699,195,
391,841,861,442,671,334,351,885,215,752,924,142,931,745,266,548,330,465,876,
191,037,920,918,536,519,748,256,473,831,302,763,536,281,314,080,179,098,516,
957,877,343,019,446,824,752,162,692,109,730,873,383,577,497,262,509,425,878,
038,400,567,675,459,267,182,344,667,474,341,632,112,942,922,678,400,871,562,
189,393,374,532,818,795,961,728,865,248,834,979,065,841,823,604,232,190,740,
814,311,773,050,700,532,516,556,485,858,500,659,052,534,470,485,909,444,388,
419,544,034,563,984,499,409,898,840,397,065,429,780,536,780,351,492,190,407,
940,234,726,001,617,372,724,635,163,206,317,960,956,169,504,299,944,626,200,
556,040,825,541,066,672,201,871,881,508,209,287,612,005,245,730,819,743,340,
966,917,079,898,962,775,134,589,394,237,355,964,824,908,880,040,725,015,988,
431,687,678,584,252,932,482,764,708,362,402,510,828,091,483,836,748,224,496,
389,145,716,517,725,631,984,814,798,929,718,738,231,834,881,144,125,006,220,
283,693,900,175,054,904,216,206,023,930,006,838,498,715,860,189,482,139,283,
600,294,431,949,967,831,157,603,018,682,490,487,177,967,181,699,855,250,814,
806,669,128,766,613,351,816,318,323,263,989,123,052,156,764,237,023,481,089,
155,208,192,822,191,403,964,442,525,434,356,308,152,154,089,442,426,158,695,
424,459,337,252,444,212,340,668,362,127,604,060,036,226,304,139,196,707,814,
026,052,187,831,691,820,234,808,368,707,079,512,373,734,379,127,596,422,893,
070,916,969,944,757,846,164,980,675,296,962,620,465,524,403,025,074,308,080,
479,522,133,426,966,990,816,378,747,652,214,569,686,536,661,759,833,023,246,
691,708,601,822,377,579,025,549,798,141,436,755,541,955,136,219,882,015,434,
255,725,936,629,181,012,664,777,290,375,609,214,574,831,325,098,932,559,481,
610,215,751,630,979,923,416,369,230,401,074,962,468,823,554,861,651,059,948,
422,243,797,156,584,316,882,254,198,948,413,923,061,292,560,230,098,820,743,
431,946,501,575,325,195,370,954,698,689,698,193,840,866,418,180,516,331,772,
482,123,400,266,057,105,154,534,858,125,101,936,563,835,179,246,246,387,092,
982,034,588,824,096,178,209,873,491,413,883,219,882,654,460,165,614,646,439,
049,026,448,949,714,717,888,769,568,873,151,486,903,469,993,184,218,205,635,
957,543,045,637,398,586,526,452,545,076,009,451,091,604,971,829,278,818,024,
540,647,938,822,005,359,631,977,506,414,154,286,753,057,721,283,255,938,794,
093,451,326,475,293,561,089,639,833,620,691,327,639,939,593,289,386,429,402,
450,578,130,663,910,337,979,165,331,919,233,014,684,882,251,396,360,236,970,
138,654,867,569,944,516,724,729,194,375,862,205,947,905,402,744,344,529,649,
376,186,479,424,125,033,897,989,872,463,232,321,138,166,860,747,920,118,314,
968,547,462,998,675,086,614,970,229,123,193,600,185,934,246,915,727,113,732,
456,595,125,329,875,789,679,460,882,634,906,066,952,230,463,662,215,416,025,
079,569,973,933,496,267,214,010,688,757,039,069,797,496,137,588,067,711,837,
241,474,784,055,363,529,131,506,424,578,961,075,440,597,424,780,170,737,138,
225,953,426,763,402,781,313,905,129,410,050,758,801,460,073,779,011,051,096,
033,928,336,013,800,583,460,107,765,890,411,964,582,061,259,599,264,089,875,
178,862,482,282,344,947,606,547,830,326,917,147,695,664,206,721,006,946,825,
376,445,964,990,278,618,414,499,621,649,764,004,703,864,661,576,066,301,349,
506,103,343,538,125,779,066,770,755,467,809,407,770,382,039,410,635,493,268,
480,353,958,455,317,583,216,222,442,642,548,200,077,423,277,939,685,409,528,
725,428,001,385,969,987,794,235,032,617,947,431,331,281,489,283,682,398,317,
692,688,062,047,198,996,452,332,130,617,304,789,606,220,239,887,781,599,157,
331,903,168,676,345,928,799,523,532,156,379,153,020,018,630,367,756,887,813,
054,603,345,608,867,992,236,505,883,483,009,702,878,707,444,407,840,895,859,
853,303,544,574,964,513,655,894,617,548,943,908,207,332,396,529,550,470,950,
605,240,249,254,489,814,573,660,687,128,886,306,104,995,045,456,345,043,433,
209,517,383,068,829,056,745,374,302,451,459,955,460,495,711,041,391,809,278,
198,711,962,673,460,591,795,281,297,910,739,875,124,241,221,663,511,639,811,
631,756,706,741,037,527,224,750,752,884,411,507,036,377,444,154,260,805,542,
293,504,188,236,130,467,744,129,282,635,349,724,220,493,005,519,875,454,404,
116,890,038,378,576,690,243,131,954,302,710,761,102,505,228,127,908,220,628,
512,563,489,487,094,959,919,452,290,992,980,627,661,910,538,476,792,317,326,
984,782,988,347,118,178,543,977,700,704,155,841,094,466,770,530,672,349,838,
052,078,643,085,157,984,112,911,516,534,083,524,343,091,839,496,403,404,556,
127,635,990,537,423,655,048,776,503,501,379,289,200,131,391,490,353,837,228,
606,271,164,721,544,413,024,647,095,112,378,531,373,949,678,713,034,153,167,
761,365,390,437,682,567,983,455,338,980,140,687,474,554,915,984,028,727,197,
859,987,960,475,267,999,161,752,982,533,135,109,942,912,206,211,332,290,907,
440,769,897,126,603,427,498,877,290,044,765,489,826,854,881,912,666,520,682,
586,544,003,212,752,706,276,451,188,480,009,076,398,357,519,732,974,397,589,
227,708,859,443,991,923,111,852,745,426,215,641,099,134,707,564,536,893,982,
435,604,729,494,339,900,189,632,733,213,583,715,466,468,842,716,390,200,460,
508,411,154,063,333,425,144,030,838,336,564,037,879,762,085,862,730,389,939,
695,845,720,216,720,877,316,417,997,215,276,685,723,218,642,633,462,580,678,
404,761,853,491,340,940,048,039,205,538,159,611,441,541,262,667,216,067,606,
639,361,117,979,150,805,658,060,763,148,872,218,940,808,121,910,922,628,064,
698,977,587,783,233,166,319,282,872,372,608,212,755,137,524,119,092,480,224,
400,887,797,760,876,885,367,565,529,479,928,535,706,006,327,219,880,217,336,
375,328,233,559,559,081,001,178,703,536,354,425,673,980,540,608,062,099,659,
864,047,787,390,904,864,154,913,426,613,617,396,259,346,178,431,676,831,710,
205,102,482,078,079,659,925,408,305,568,641,546,224,426,329,021,400,070,574,
398,973,539,756,058,281,886,596,537,594,833,302,763,069,386,251,935,113,765,
995,962,291,980,640,038,831,416,758,286,994,784,095,317,025,891,008,699,551,
418,288,186,075,644,242,075,160,217,024,166,560,624,543,261,569,490,733,891,
774,449,538,222,692,832,118,252,396,876,024,943,084,055,237,424,115,713,453,
790,450,664,914,526,791,508,488,898,218,706,806,212,080,280,857,165,283,278,
508,931,499,785,294,747,565,732,439,484,783,032,666,838,438,326,732,928,561,
195,219,209,283,637,292,284,284,438,910,510,586,856,867,666,679,001,375,780,
697,410,145,125,221,042,634,927,627,962,286,724,804,463,854,283,978,353,864,
023,759,666,907,340,408,432,802,269,687,292,647,290,774,417,769,873,390,458,
203,250,111,661,851,013,014,442,625,511,787,387,235,893,903,696,162,999,327,
726,223,504,635,559,806,024,594,793,210,859,431,211,299,445,715,490,620,425,
901,472,677,830,003,571,921,621,267,141,768,981,699,774,857,335,184,052,409,
409,894,353,308,889,796,804,113,468,086,838,218,596,047,649,036,602,680,651,
048,657,652,553,615,686,780,287,094,760,796,889,902,660,529,348,571,475,336,
019,183,544,245,828,930,818,959,571,593,493,674,632,754,887,863,405,980,675,
816,380,908,233,077,407,707,038,268,826,442,219,067,279,841,266,419,992,445,
613,673,414,552,321,881,361,373,874,589,927,576,980,644,574,422,865,596,352,
131,765,899,389,819,910,735,391,336,685,940,523,130,192,968,773,709,349,766,
506,802,515,302,181,813,830,464,654,377,647,363,623,066,355,473,004,009,567,
430,533,736,530,377,336,207,750,270,848,494,932,005,747,659,497,423,747,103,
734,733,809,905,958,690,695,920,057,758,382,245,965,972,831,979,999,876,392,
912,523,430,432,613,121,187,028,637,608,506,656,225,000,844,849,265,108,695,
744,436,374,242,966,704,819,581,533,011,324,451,578,927,669,050,325,999,636,
355,658,320,616,084,075,985,895,372,581,516,153,716,183,193,388,933,821,127,
481,578,154,606,994,505,164,398,717,803,081,840,955,721,982,299,754,224,783,
045,847,974,486,822,253,277,733,998,313,064,440,142,643,981,285,577,915,387,
715,888,115,457,553,940,095,305,798,781,623,969,563,026,944,415,360,016,832,
906,939,225,332,376,561,865,822,620,854,967,528,365,350,693,184,209,332,342,
825,931,500,199,444,319,020,087,953,378,845,295,816,473,349,799,876,817,944,
116,095,430,706,900,500,663,133,981,319,942,364,641,287,060,012,285,164,484,
713,165,877,904,023,583,896,532,576,317,919,541,524,997,531,644,554,017,472,
572,300,366,944,503,471,948,815,262,057,926,912,308,232,418,723,587,926,516,
646,125,781,428,516,584,365,623,657,400,788,653,971,889,471,146,212,974,002,
949,932,043,676,638,750,475,979,739,158,489,830,109,593,921,294,622,200,933,
844,464,507,401,163,281,261,889,560,641,998,833,986,551,265,006,322,871,169,
064,090,590,885,530,378,533,130,986,895,996,141,454,256,139,618,868,166,762,
844,323,022,988,822,938,206,183,553,932,433,067,064,253,163,801,577,544,943,
085,758,283,754,529,284,706,408,027,531,564,036,572,051,795,587,786,695,603,
374,994,390,327,030,321,971,536,462,230,713,937,704,233,049,664,784,575,229,
837,301,152,689,293,066,749,108,599,809,949,399,258,876,217,184,687,694,417,
973,553,506,367,223,351,956,309,587,850,492,270,541,548,568,962,676,130,805,
936,018,071,251,363,040,606,439,928,022,696,185,245,006,953,232,643,441,639,
668,716,291,899,610,392,338,969,963,756,695,526,218,484,023,376,242,680,556,
330,055,362,823,700,947,529,109,230,943,703,946,213,952,438,029,635,551,552,
124,331,094,277,351,785,976,334,499,177,500,829,172,468,803,517,732,691,106,
374,333,125,720,507,149,057,362,808,229,957,096,789,538,832,988,824,970,538,
846,044,620,752,790,313,748,288,950,096,687,381,474,621,030,412,941,985,371,
275,148,556,839,714,023,623,913,932,195,516,723,963,435,188,963,133,181,648,
842,107,636,580,666,533,887,222,075,586,238,826,600,448,412,785,081,718,064,
827,110,818,102,576,678,306,639,416,393,752,148,938,395,011,590,126,208,399,
417,281,877,013,807,645,771,155,392,828,812,774,212,612,541,631,788,827,477,
182,373,437,536,082,616,699,297,391,908,367,971,431,363,237,188,414,854,269,
233,110,185,142,465,791,910,815,024,896,348,160,813,106,450,454,146,012,491,
075,678,384,983,802,292,682,339,658,048,333,739,684,554,863,305,831,139,237,
112,048,549,752,939,539,153,158,575,848,212,301,524,808,948,081,106,789,240,
346,645,730,996,199,904,026,249,567,020,591,243,033,612,136,014,127,736,930,
807,105,727,149,537,461,178,527,091,045,803,188,751,651,759,288,958,638,336,
599,538,056,955,026,935,576,176,664,978,739,007,404,002,619,040,428,670,843,
894,403,914,161,295,676,783,886,424,286,014,957,231,385,137,721,640,972,604,
056,979,321,400,346,171,726,383,796,498,154,238,896,233,294,695,195,997,689,
476,457,597,101,539,600,106,780,666,866,765,754,194,520,748,206,094,048,472,
474,798,155,445,444,759,862,586,989,388,415,832,205,572,254,882,780,681,564,
946,923,433,910,045,324,196,049,151,276,668,077,889,154,742,266,971,256,311,
324,607,225,543,342,520,834,775,138,950,046,183,855,761,440,752,803,353,294,
778,256,148,925,155,875,673,360,327,548,433,848,592,724,719,163,147,354,230,
943,298,068,793,517,921,978,330,190,719,655,943,095,122,981,869,950,178,487,
160,276,335,532,765,239,812,234,383,185,101,389,651,455,532,753,251,560,692,
151,755,764,323,557,738,675,794,413,775,506,497,642,258,556,463,906,491,248,
036,382,820,117,453,667,796,297,973,932,207,942,055,183,394,884,889,043,190,
839,513,755,675,179,447,689,942,452,846,899,929,192,221,095,818,525,227,573,
376,093,757,777,514,484,294,993,387,938,534,207,347,568,547,649,115,607,019,
782,877,160,103,697,242,770,909,336,021,438,214,986,642,220,524,278,051,484,
845,637,429,234,871,111,304,383,896,721,695,856,969,865,610,403,874,297,305,
288,314,769,671,409,544,099,789,879,796,211,233,722,031,451,302,378,679,817,
335,869,719,930,667,557,606,429,399,519,484,485,233,767,471,071,619,683,321,
959,007,256,931,304,854,926,335,253,658,317,617,582,051,798,762,213,543,543,
851,898,017,712,022,301,856,207,559,376,094,207,263,099,827,482,372,893,913,
536,959,829,090,337,506,486,849,096,714,439,459,502,433,863,069,520,566,002,
734,052,895,846,851,291,149,740,093,325,623,708,775,771,154,275,627,338,555,
897,561,851,520,930,804,123,638,905,730,414,323,162,131,329,262,080,800,064,
268,079,788,513,708,114,535,150,213,277,580,883,450,890,545,581,293,675,750,
715,927,066,781,340,416,660,598,382,946,029,138,427,787,870,332,116,777,121,
094,700,284,532,217,354,930,376,036,254,034,391,686,150,770,069,853,090,219,
333,337,173,115,473,662,771,256,745,514,706,493,374,221,428,276,521,220,977,
564,077,796,911,381,575,888,820,078,350,290,423,546,043,067,388,614,671,684,
807,136,926,222,566,605,941,650,821,072,564,675,197,714,843,122,525,617,696,
812,939,859,882,625,855,686,502,336,972,203,542,238,347,441,036,732,682,898,
219,779,889,960,965,578,655,233,828,587,843,154,490,324,778,551,360,414,616,
931,798,530,576,448,319,253,978,037,742,272,622,869,911,799,067,739,521,438,
325,975,841,151,665,233,383,708,225,252,100,077,748,229,687,542,530,686,764,
400,609,198,477,581,094,703,018,573,904,144,595,938,567,169,954,407,028,668,
846,058,278,203,474,013,836,562,997,603,831,654,145,505,241,063,906,710,181,
548,891,944,050,515,008,902,487,584,560,543,533,101,924,944,196,715,740,441,
813,247,363,683,967,711,819,158,284,449,779,413,174,855,495,186,721,980,749,
182,873,548,376,506,011,030,107,867,307,271,377,529,644,996,051,241,140,507,
305,844,598,765,977,837,475,897,134,107,051,598,929,006,399,729,479,479,479,
698,685,895,378,996,909,365,236,546,879,766,052,604,842,045,215,625,353,767,
543,584,986,509,830,710,427,401,581,852,348,340,447,184,275,020,979,060,621,
411,929,855,650,196,223,521,186,296,691,236,651,183,101,533,559,781,150,244,
436,980,738,202,770,211,759,437,508,981,867,790,704,745,069,557,695,263,265,
169,545,916,131,986,030,897,821,726,147,420,785,972,148,427,704,994,355,823,
889,488,487,090,891,261,748,858,410,055,526,038,459,122,566,669,070,762,539,
589,452,802,895,466,302,573,333,828,730,555,881,993,886,641,245,536,583,659,
675,813,987,211,289,292,614,869,978,482,130,332,768,889,173,509,203,172,520,
927,081,029,881,759,820,250,827,743,753,735,353,748,659,859,349,354,624,141,
738,258,958,817,554,559,657,448,315,965,729,350,430,514,212,069,917,045,926,
707,431,923,143,278,409,631,655,558,895,633,068,600,308,550,354,860,440,799,
554,027,383,557,383,243,910,422,185,824,676,384,510,039,035,266,625,647,369,
878,834,728,491,076,569,374,998,136,422,840,617,007,720,508,774,347,567,113,
491,595,482,401,095,675,518,551,980,537,269,686,672,852,009,805,169,163,193,
905,011,695,057,480,823,676,031,621,509,877,908,538,188,145,403,124,434,805,
197,656,058,295,364,166,919,332,326,374,019,991,724,053,152,935,989,509,265,
978,106,244,617,346,212,359,925,887,179,256,320,941,914,641,426,933,224,701,
646,004,265,992,943,944,968,310,278,697,671,115,844,241,456,304,655,409,318,
624,336,625,006,498,904,873,857,366,504,828,342,428,397,733,596,016,627,612,
812,533,910,584,026,981,707,019,800,462,887,135,281,732,189,282,625,487,912,
169,510,700,045,723,620,118,121,752,429,573,222,569,885,413,392,726,318,706,
112,168,346,182,064,803,637,920,844,182,925,785,078,891,019,097,693,147,992,
370,294,135,280,244,810,509,952,788,264,331,115,507,189,422,925,205,966,576,
642,842,298,207,896,002,555,994,568,016,697,206,611,120,848,070,661,137,976,
982,581,234,683,090,641,230,980,461,312,405,077,717,859,137,477,759,298,456,
326,801,476,590,026,886,388,053,516,507,923,039,057,910,544,397,383,934,996,
246,440,639,197,794,635,828,218,526,224,436,276,751,639,029,852,261,705,561,
907,393,205,360,490,611,322,120,366,325,617,304,730,974,331,370,706,439,934,
817,194,531,855,579,232,021,936,458,935,774,334,456,749,458,459,982,408,999,
849,393,822,217,455,790,472,606,609,001,790,821,675,412,525,746,602,780,287,
227,775,979,028,005,908,846,241,272,280,127,394,160,175,426,798,304,050,974,
750,339,587,142,095,245,636,077,734,595,532,840,720,833,983,001,163,576,613,
142,793,404,534,988,139,041,577,321,093,143,380,448,034,214,928,017,342,158,
942,220,167,168,071,125,372,143,732,181,938,364,945,997,387,952,875,575,296,
518,054,636,131,122,582,581,894,135,624,657,734,068,451,604,619,804,245,202,
426,083,198,211,512,113,476,998,506,158,401,581,228,843,036,339,750,502,946,
975,067,914,090,968,286,683,464,571,863,272,137,362,440,417,364,494,922,407,
992,099,024,067,632,905,130,083,781,829,558,717,387,006,131,364,331,853,020,
880,505,189,922,633,668,670,240,500,356,884,664,701,673,929,789,108,739,847,
687,419,864,875,270,209,006,427,790,671,479,936,991,048,367,765,045,383,248,
073,036,612,297,810,117,632,342,518,382,692,278,660,352,358,921,513,632,863,
459,612,613,458,562,152,261,021,995,561,531,901,526,520,289,826,183,229,862,
108,877,920,330,550,273,492,025,761,604,909,073,308,577,433,604,534,775,802,
207,960,336,376,680,850,758,233,802,874,872,471,287,127,525,760,105,460,159,
420,139,152,491,424,366,751,834,225,163,706,217,455,575,024,547,737,972,719,
601,008,625,655,463,982,817,617,674,392,082,526,900,427,328,437,467,814,757,
619,751,901,193,089,623,511,235,761,481,645,256,917,337,241,586,189,100,054,
689,081,294,715,432,569,582,152,307,132,293,556,694,980,232,295,080,712,551,
144,545,680,278,663,120,608,689,153,354,632,120,998,756,948,832,317,766,765,
652,015,363,858,195,880,633,612,935,730,031,472,253,334,296,802,240,755,405,
370,233,777,996,985,039,703,326,117,156,044,779,886,246,832,205,721,281,269,
085,711,822,761,751,166,137,100,357,002,870,782,138,285,395,651,708,596,339,
817,218,033,546,688,785,128,066,463,994,370,882,919,954,680,667,092,875,966,
915,997,179,653,637,400,235,007,736,995,470,856,385,555,091,790,033,108,580,
397,776,986,146,045,759,886,532,928,673,681,582,444,216,873,206,962,334,479,
769,443,722,806,216,232,281,705,947,163,742,278,399,357,133,731,548,945,585,
290,985,987,900,774,384,429,314,628,816,534,718,375,967,874,292,053,766,975,
119,317,530,033,183,651,980,123,234,247,916,986,732,421,519,260,980,293,849,
380,109,030,293,219,835,644,347,165,572,613,163,114,732,530,168,613,646,729,
996,239,692,876,747,909,950,045,625,604,289,434,105,051,678,879,989,297,516,
994,076,053,781,739,817,121,741,922,186,977,208,952,062,308,932,882,430,904,
710,865,794,485,690,883,811,496,555,376,149,401,871,839,535,532,198,581,454,
870,057,114,984,780,522,866,323,181,476,018,573,958,346,087,850,172,295,813,
798,607,184,775,400,958,564,743,577,902,386,935,785,627,834,024,996,868,471,
268,795,635,961,357,354,297,473,504,109,543,709,882,837,641,966,126,494,588,
093,819,017,903,729,369,436,295,625,030,808,245,354,087,507,068,074,123,506,
975,430,988,932,398,026,708,055,026,555,968,085,226,465,438,797,610,019,486,
273,497,264,903,600,907,054,936,880,173,427,790,160,269,483,831,282,603,245,
030,940,554,728,626,329,271,555,896,799,818,230,664,127,368,343,853,399,124,
492,752,650,449,923,590,111,554,894,295,741,340,281,916,607,054,143,860,856,
595,832,781,015,361,151,759,881,124,451,211,950,040,102,038,146,134,510,981,
000,662,736,255,818,129,090,677,672,253,315,097,807,698,162,974,722,164,714,
824,997,085,214,486,974,115,487,138,184,048,858,896,409,614,345,603,272,385,
824,206,976,240,975,686,895,432,420,619,044,152,230,973,125,475,068,273,452,
122,602,485,219,888,392,181,287,554,628,266,981,203,563,788,595,819,659,521,
380,107,996,708,369,381,051,419,264,848,922,582,503,237,064,928,371,960,394,
606,209,429,791,420,828,707,913,562,219,286,404,301,131,095,602,866,737,605,
559,218,977,907,876,102,513,149,680,591,952,595,717,676,085,827,347,716,666,
524,095,469,255,082,902,934,170,726,712,681,943,643,081,572,804,054,731,102,
479,314,446,140,063,174,394,544,518,218,796,989,127,530,740,050,501,553,717,
688,658,649,931,624,880,055,060,486,669,074,931,446,984,891,485,880,451,189,
830,033,004,754,729,935,250,118,228,752,590,456,668,818,300,824,214,975,061,
921,032,513,777,892,250,441,128,953,432,039,457,215,268,267,066,423,124,465,
658,501,591,229,601,088,690,300,599,110,570,473,154,024,951,863,987,878,639,
232,809,315,710,924,870,704,217,723,863,325,644,067,315,063,711,671,722,174,
236,704,709,914,171,069,857,817,090,785,604,590,322,675,555,438,088,723,344,
747,518,526,053,648,545,031,794,042,315,123,993,644,751,352,350,573,673,530,
613,089,666,497,119,499,284,707,462,566,456,987,159,725,137,001,314,282,232,
980,040,305,158,251,976,418,400,779,870,141,467,473,620,355,356,946,203,923,
020,228,042,440,129,626,267,120,015,252,670,016,692,352,807,677,172,595,657,
367,106,896,404,420,758,227,385,022,583,365,512,951,367,902,817,851,951,725,
318,615,616,590,026,835,393,415,804,971,033,688,683,204,993,143,354,368,835,
475,122,299,611,369,149,769,278,543,291,240,307,544,051,717,533,761,403,531,
265,242,888,126,738,877,892,578,502,853,777,826,704,681,627,978,662,265,983,
155,295,969,878,735,663,223,337,830,476,301,472,239,193,721,067,843,561,845,
683,884,390,662,503,350,864,729,294,729,909,066,861,646,165,285,020,690,322,
954,236,224,625,896,320,993,223,151,868,031,610,068,010,364,125,995,313,455,
329,262,894,879,936,889,142,314,206,597,015,818,458,934,123,772,153,326,250,
309,270,847,744,123,802,900,677,184,426,751,522,931,314,758,243,532,192,702,
685,498,373,913,639,417,572,865,931,040,948,308,622,079,540,124,743,361,921,
872,939,947,737,950,219,251,141,123,304,251,966,977,469,378,812,228,406,329,
984,063,420,218,894,426,745,118,134,776,799,196,720,257,375,430,432,890,759,
942,207,438,590,125,341,767,571,017,995,097,629,794,118,671,453,663,824,380,
616,589,633,983,774,895,152,984,716,047,458,536,173,631,439,943,333,829,783,
778,128,836,008,181,788,185,749,088,331,212,971,605,464,075,747,907,389,715,
914,416,064,780,679,986,792,585,253,799,687,729,102,371,704,565,164,322,457,
305,825,701,068,627,567,647,180,259,154,632,153,118,597,863,583,010,447,562,
743,784,511,825,818,246,226,541,490,440,856,300,304,288,406,995,252,613,250,
208,734,782,195,409,459,471,301,253,896,993,174,594,344,406,721,843,241,705,
225,590,569,530,477,400,514,201,454,554,496,342,472,590,920,433,308,772,369,
679,519,217,580,626,956,929,500,348,737,187,170,285,762,594,642,101,958,142,
148,569,823,554,891,387,093,292,341,039,273,199,939,557,396,603,493,845,896,
493,887,230,773,716,800,617,077,327,843,197,338,718,145,350,203,034,482,101,
108,667,867,788,678,646,250,056,688,482,256,586,520,503,858,000,383,049,475,
961,324,666,884,742,743,638,513,796,381,151,042,951,979,294,205,753,152,734,
543,933,251,496,838,839,444,743,748,514,337,432,529,396,145,351,944,708,052,
877,874,935,216,783,046,406,992,326,580,753,612,593,116,106,327,946,493,385,
194,711,974,101,018,135,005,038,764,051,595,649,923,908,680,910,012,005,158,
867,909,557,749,013,163,201,500,735,900,594,552,104,348,878,146,400,494,628,
456,008,864,716,099,004,806,568,322,444,184,437,655,507,641,076,641,468,012,
069,739,840,717,276,085,453,902,719,953,880,920,557,855,974,177,377,230,605,
310,725,333,612,608,356,422,993,019,722,942,415,378,629,074,384,745,057,368,
396,170,125,392,105,316,282,629,742,832,140,491,733,538,313,607,717,858,560,
884,377,302,710,436,977,194,550,081,819,096,874,614,988,771,167,680,009,166,
862,607,747,960,518,996,599,455,085,259,741,979,609,275,853,440,322,588,983,
483,121,187,436,726,166,789,004,510,957,349,539,105,300,659,414,813,699,939,
716,140,886,873,203,265,728,630,460,019,473,265,239,289,615,019,032,352,610,
880,216,690,876,356,154,212,352,967,973,878,325,807,550,714,291,014,003,124,
070,462,840,276,472,704,910,472,551,757,465,199,138,133,893,449,645,505,053,
541,945,980,500,194,004,672,305,955,268,346,488,557,574,228,381,921,761,110,
558,697,479,279,171,702,246,895,609,509,986,125,724,283,265,265,524,112,424,
095,714,418,284,516,357,501,703,791,197,297,355,320,494,588,209,589,454,260,
058,236,619,302,113,208,848,258,306,805,614,677,980,455,767,404,029,822,429,
939,250,974,582,715,875,994,299,186,241,044,051,211,976,946,744,473,164,814,
690,524,161,223,528,641,385,271,040,901,554,074,478,696,792,958,390,761,916,
140,175,416,667,077,401,606,703,032,805,973,948,004,375,812,822,594,921,832,
835,344,885,718,291,085,758,749,616,529,270,625,534,081,441,745,432,314,294,
608,648,550,268,180,773,773,534,795,847,873,485,757,564,901,415,815,499,192,
611,155,537,020,914,021,597,075,257,755,961,538,129,586,140,873,084,538,822,
466,435,906,439,217,699,013,550,862,117,354,377,820,628,846,393,764,951,130,
571,397,396,043,509,923,075,716,729,962,526,948,268,658,246,015,322,891,108,
613,456,277,734,376,110,238,015,121,098,858,720,287,562,133,916,970,150,639,
077,476,376,869,020,856,884,527,175,404,099,878,410,066,203,179,009,766,482,
549,402,811,164,391,081,957,755,741,896,177,566,558,771,776,633,155,128,482,
203,586,696,096,543,479,193,872,266,755,219,254,851,122,577,180,216,652,660,
939,524,945,021,441,844,197,932,002,689,381,724,032,069,651,364,495,158,430,
886,196,539,475,001,673,153,886,412,811,659,409,139,019,708,345,871,552,893,
106,341,893,690,675,972,572,504,386,816,485,582,981,820,462,730,366,055,350,
868,234,507,398,968,868,555,700,981,023,338,335,262,191,212,051,032,180,821,
328,351,486,494,301,138,579,509,408,797,810,994,192,015,751,985,569,546,651,
966,818,506,772,090,208,928,898,450,756,375,422,398,941,813,468,871,269,289,
455,320,154,235,903,911,164,517,374,122,768,642,835,126,671,177,801,453,816,
785,178,397,513,451,139,278,747,306,232,372,382,236,398,247,744,770,653,559,
000,027,831,013,846,952,439,783,700,573,751,034,930,107,643,520,807,786,503,
860,440,913,301,070,338,322,893,335,967,872,430,285,956,297,305,499,595,352,
665,426,070,360,331,561,699,799,263,257,011,963,188,005,965,148,105,682,055,
467,088,473,021,827,432,793,756,488,606,323,347,442,215,518,821,374,757,697,
699,874,895,597,312,210,655,657,458,189,227,854,942,986,941,938,471,152,296,
208,912,256,730,355,657,522,651,499,778,542,220,518,096,395,774,357,456,157,
571,683,826,104,989,577,685,153,278,014,968,680,528,642,623,771,338,186,093,
141,207,382,649,372,184,535,977,681,830,489,016,622,395,588,535,746,625,946,
742,254,696,132,662,931,177,310,213,762,503,850,557,073,689,794,055,617,374,
688,508,203,434,204,708,344,946,669,915,456,350,934,869,299,030,223,432,459,
252,175,747,433,263,618,605,907,656,037,362,815,371,692,001,322,766,553,124,
128,006,231,425,559,742,986,455,571,150,885,947,124,521,102,937,373,709,646,
047,704,300,629,771,176,482,374,442,702,978,527,196,658,602,727,638,953,969,
305,675,863,518,611,285,858,040,997,161,128,725,441,626,573,776,613,800,940,
817,349,422,674,631,830,404,740,311,623,003,268,201,115,354,791,465,886,925,
066,017,901,878,277,475,014,244,735,925,553,792,634,461,219,012,603,347,498,
876,675,329,985,608,639,704,019,003,729,288,001,296,832,555,012,143,481,128,
540,988,228,276,428,954,420,702,321,982,557,426,763,289,513,158,490,260,434,
025,533,629,524,229,964,415,454,406,213,124,404,574,344,245,747,489,538,767,
626,153,342,543,364,766,598,341,003,671,874,612,743,167,503,934,175,613,116,
254,037,665,185,273,311,894,113,006,213,006,451,524,192,069,782,319,124,673,
532,558,673,877,203,013,667,904,526,190,207,450,472,029,694,734,728,821,749,
206,849,242,576,564,842,307,567,156,679,245,337,601,206,789,818,077,572,008,
200,145,102,351,274,842,770,975,267,554,290,779,962,629,183,189,614,076,609,
402,131,056,403,365,856,817,927,729,555,261,934,531,295,530,086,313,831,303,
323,172,797,726,729,018,726,872,250,137,385,817,401,797,402,498,088,526,112,
088,064,726,048,772,470,726,270,656,806,853,798,974,168,028,498,956,618,245,
449,081,097,893,336,151,021,842,581,248,148,700,320,810,797,252,051,529,939,
889,401,886,749,709,143,531,539,718,129,252,427,251,026,866,903,036,611,445,
144,205,993,212,678,467,488,041,850,810,014,794,867,182,912,407,286,411,421,
667,087,364,382,805,909,465,262,354,718,338,968,953,077,164,942,402,617,329,
360,619,424,288,320,453,270,873,103,560,737,926,051,968,579,343,565,381,893,
505,179,921,098,872,045,785,519,249,431,820,851,006,145,826,422,053,783,494,
516,891,750,856,679,821,478,339,921,369,147,216,433,623,314,860,958,130,088,
609,156,549,150,702,764,123,994,622,530,325,490,578,318,107,652,257,922,376,
855,153,368,225,195,937,148,641,491,383,758,774,653,737,576,221,919,441,067,
755,707,917,023,216,359,236,189,450,365,493,655,560,368,096,654,285,277,550,
918,781,739,242,720,288,784,102,184,179,059,386,735,544,943,972,645,390,526,
341,877,143,508,131,449,170,804,304,365,218,507,972,117,631,781,913,925,618,
514,260,169,515,866,108,433,959,870,357,791,264,853,973,607,115,773,168,970,
658,138,300,477,076,577,582,846,227,038,184,936,267,867,223,148,489,583,132,
558,040,823,621,614,367,620,053,242,457,898,064,539,336,636,865,897,859,109,
545,920,383,662,500,186,620,758,311,408,061,501,116,571,349,628,909,149,779,
173,220,851,272,622,745,769,149,346,002,365,337,972,281,423,772,270,243,790,
066,654,957,859,523,097,616,330,854,409,860,726,491,468,041,405,608,264,937,
989,220,469,901,795,808,461,927,280,484,125,435,063,745,923,294,715,695,641,
888,969,740,594,444,745,049,044,596,142,765,267,382,823,267,011,941,435,792,
428,934,608,126,488,482,185,884,580,772,824,063,549,791,528,228,941,310,619,
675,976,075,796,377,493,361,621,653,619,652,137,225,156,137,311,630,502,663,
924,487,884,400,034,030,047,715,569,356,828,858,601,961,859,167,579,667,021,
583,880,760,046,212,121,804,611,273,159,343,815,042,069,758,250,694,246,023,
263,135,668,417,067,734,118,097,508,288,214,421,283,624,618,336,298,822,912,
338,111,622,140,689,114,106,760,522,854,881,169,822,713,068,871,427,132,067,
665,292,962,455,966,471,955,897,611,535,878,589,545,296,574,714,298,432,275,
204,451,480,395,629,936,037,386,975,078,673,500,891,166,779,736,940,858,283,
992,846,672,224,469,262,476,767,046,312,030,455,339,506,369,960,581,491,971,
490,339,785,274,507,085,802,962,668,034,735,928,232,158,967,643,990,604,479,
895,659,796,637,329,346,112,215,822,442,472,225,243,720,647,234,266,391,797,
956,058,132,916,402,037,215,127,008,602,016,289,191,819,081,905,316,194,022,
831,711,389,734,842,304,710,490,942,688,224,366,337,927,650,566,917,776,270,
478,999,649,976,523,054,252,603,132,705,462,702,896,334,146,521,935,890,417,
734,942,435,376,890,183,733,390,900,093,090,564,730,542,388,744,134,724,397,
441,125,314,830,383,043,370,999,218,232,220,483,713,530,118,938,900,827,590,
485,331,617,967,691,577,969,457,758,323,323,955,972,034,945,504,453,653,894,
644,983,553,096,829,806,092,464,005,004,730,034,196,738,203,029,360,806,748,
535,107,038,898,458,200,952,876,416,141,025,860,779,838,753,788,748,260,486,
322,930,206,416,046,486,668,653,475,105,312,442,110,074,480,498,112,424,402,
579,783,870,301,085,041,858,658,525,147,126,222,771,292,319,629,503,867,359,
236,068,785,681,437,222,741,486,337,455,930,491,040,740,206,068,952,410,476,
342,813,969,524,058,218,578,809,268,171,098,184,657,048,832,321,463,648,524,
657,449,774,317,647,507,782,814,082,942,890,179,913,925,920,319,658,565,145,
565,990,475,861,066,514,168,105,559,578,472,764,819,178,399,245,260,964,317,
616,423,951,901,240,229,261,761,572,419,863,066,582,503,918,501,300,892,174,
390,890,995,327,035,604,964,358,417,975,909,686,413,714,276,332,800,494,552,
321,307,018,402,334,089,825,539,671,416,846,659,355,664,013,283,609,918,007,
294,891,930,102,418,708,572,839,306,819,643,343,175,538,772,316,470,026,949,
762,900,521,155,231,599,213,839,693,029,293,905,145,038,238,406,716,468,220,
281,526,175,120,672,430,029,743,516,824,891,331,062,316,205,976,116,889,437,
029,473,385,494,173,084,977,932,801,239,193,317,627,045,427,070,688,671,869,
532,484,412,679,635,817,526,396,913,533,614,050,042,970,039,636,872,119,864,
692,148,830,418,228,962,172,058,279,470,246,908,372,908,210,400,908,688,968,
778,178,932,908,321,561,555,613,691,647,433,887,122,274,435,993,854,121,487,
159,086,472,452,547,516,563,135,521,855,515,276,080,605,578,547,392,376,189,
217,289,294,553,681,463,111,230,158,605,881,000,712,677,354,310,619,651,985,
342,287,448,663,608,207,594,824,705,772,833,267,230,631,891,672,536,319,613,
761,572,981,684,042,505,212,237,868,248,903,791,286,059,182,939,075,756,130,
762,447,083,667,910,621,681,286,321,428,871,280,608,422,531,661,466,636,264,
510,733,093,604,045,382,436,017,775,520,707,901,600,926,908,914,296,334,693,
483,300,052,921,455,488,343,364,311,692,143,973,469,674,598,449,079,940,899,
400,470,869,552,912,168,236,900,994,772,372,731,280,391,703,675,277,763,268,
695,120,145,986,315,601,696,522,470,617,021,597,725,255,815,963,094,566,581,
062,874,728,439,867,902,646,317,202,312,494,752,187,629,450,992,482,920,968,
390,045,316,412,892,492,779,452,599,407,708,501,252,226,871,210,093,187,057,
150,797,099,940,871,606,154,927,133,089,762,035,282,992,666,663,083,669,235,
296,726,825,150,627,506,128,260,661,743,036,495,458,760,279,190,323,623,704,
133,823,915,366,911,046,282,240,782,345,962,003,773,669,393,435,126,775,672,
747,597,516,628,014,681,793,162,458,583,267,532,743,875,480,219,616,261,408,
622,008,456,028,011,990,178,601,354,262,187,870,162,605,713,627,882,203,185,
897,255,065,612,303,505,968,177,665,587,521,884,241,971,251,190,916,316,806,
224,652,204,137,248,209,553,896,711,636,399,328,798,346,787,642,210,515,723,
201,323,247,522,210,464,430,104,479,947,067,355,315,701,752,430,895,794,735,
408,811,589,673,792,136,534,801,321,756,635,217,435,131,711,301,823,237,493,
539,841,241,462,355,790,976,612,530,770,523,403,201,176,876,130,091,310,068,
375,406,882,216,113,071,115,480,690,120,852,247,632,393,193,132,603,961,278,
502,342,292,127,728,118,944,426,667,623,616,725,811,041,890,264,199,526,681,
437,611,051,735,044,264,068,407,273,573,160,617,996,732,817,234,216,262,886,
107,769,628,217,177,853,207,493,464,365,417,139,649,837,897,036,989,572,148,
931,851,037,296,626,462,993,600,983,186,584,498,993,507,768,771,611,135,845,
634,507,826,516,506,502,571,344,731,666,298,177,424,481,435,611,365,154,990,
623,878,889,345,306,980,537,525,788,672,392,550,421,561,899,542,538,389,353,
132,368,726,626,310,440,362,717,985,547,574,065,934,099,348,295,036,634,497,
418,184,017,504,431,784,379,736,448,776,838,502,886,098,304,413,066,177,411,
274,421,740,680,977,472,516,305,585,368,374,277,335,407,373,601,244,134,942,
059,064,169,127,632,011,348,975,250,205,059,533,607,634,169,686,363,697,368,
560,473,961,711,015,642,840,415,013,807,620,806,244,095,840,055,582,322,603,
550,984,430,646,860,992,676,605,695,631,141,807,419,884,890,453,639,328,230,
469,486,371,866,359,467,206,852,338,727,297,489,101,570,587,063,975,915,572,
704,284,093,689,124,664,534,572,406,628,359,276,835,271,709,519,754,124,643,
182,464,837,943,282,564,155,576,743,944,581,581,845,834,637,569,159,820,253,
327,400,902,097,098,364,456,727,383,526,390,016,666,036,438,871,872,903,424,
378,859,136,316,306,063,448,495,973,323,377,143,440,574,280,246,946,764,443,
745,648,583,715,278,714,376,333,140,579,102,874,818,917,768,573,572,891,624,
925,094,179,312,983,540,302,305,101,152,067,947,074,533,389,200,317,574,856,
938,066,623,979,422,303,132,414,455,931,848,952,948,395,096,952,158,589,378,
984,060,975,626,060,268,356,166,788,189,368,846,389,217,174,992,612,012,989,
928,639,975,023,912,884,808,637,855,867,022,163,998,001,918,611,871,774,942,
759,409,523,464,281,447,622,113,543,528,795,857,954,979,465,139,910,617,357,
843,539,911,202,876,331,431,783,802,797,888,673,615,521,142,534,624,193,722,
164,286,463,174,348,405,225,523,842,815,705,692,055,285,829,573,461,190,106,
388,954,289,394,883,852,907,259,285,206,593,638,661,183,750,779,734,261,404,
875,665,483,472,502,548,460,941,414,002,028,732,097,452,055,404,977,573,606,
553,315,660,153,051,575,630,714,472,757,333,146,529,705,297,616,249,440,871,
767,346,516,985,014,836,481,144,527,517,378,866,750,294,124,009,295,432,444,
446,191,717,001,196,385,768,180,567,500,071,790,627,905,534,042,907,155,345,
710,381,786,447,392,932,925,616,237,633,918,368,671,029,840,042,553,825,431,
035,905,828,815,431,704,740,046,716,429,066,462,230,484,724,147,521,129,211,
144,927,394,726,654,313,543,134,875,772,788,132,222,193,808,278,100,649,937,
237,044,598,046,913,470,567,139,746,971,819,620,081,777,270,667,487,759,575,
397,905,246,907,757,253,963,636,635,583,093,947,141,975,109,276,194,077,379,
591,639,601,209,475,474,795,795,709,244,841,995,133,353,654,275,616,621,988,
245,230,877,373,333,786,629,547,980,509,199,461,419,047,715,398,578,327,761,
827,445,215,992,460,018,888,143,728,966,234,379,032,633,036,508,034,185,060,
449,182,038,598,274,793,035,464,290,115,629,980,171,048,252,712,742,483,523,
284,476,934,295,021,739,713,511,309,119,960,269,314,644,471,836,951,370,835,
314,803,301,074,621,568,238,468,976,205,944,344,298,960,576,785,716,385,435,
106,061,826,083,573,225,537,274,046,442,837,186,615,745,833,815,555,251,067,
914,170,684,934,931,943,049,575,735,468,177,209,175,621,417,091,459,572,746,
598,558,108,807,994,473,176,526,038,650,012,468,429,362,743,620,418,396,472,
720,534,640,339,017,164,418,775,987,096,257,389,847,786,358,584,531,747,265,
749,190,984,496,867,776,962,383,040,681,250,452,728,194,673,129,277,731,835,
877,274,176,875,910,897,482,751,153,318,748,156,046,372,684,117,907,199,236,
191,754,364,586,748,381,055,611,950,690,986,525,986,724,084,268,497,214,917,
235,856,317,938,241,530,526,549,250,812,132,579,874,042,044,286,600,383,001,
153,906,644,057,224,479,266,231,040,670,699,326,557,015,426,355,458,129,124,
217,506,106,534,863,271,009,614,894,733,262,692,213,737,869,083,179,376,542,
322,476,977,820,405,187,103,691,378,005,657,773,244,861,611,930,279,081,251,
562,326,402,394,174,143,281,051,540,551,611,284,206,977,274,777,415,679,286,
190,887,272,563,118,781,178,692,287,138,676,726,575,749,560,214,445,877,424,
667,162,440,498,827,741,037,850,112,505,801,493,552,964,752,522,787,301,220,
833,359,701,606,959,520,484,236,191,338,832,938,235,745,933,528,938,415,778,
227,826,198,420,824,883,951,198,767,843,813,073,857,204,417,834,380,480,352,
340,349,466,400,883,632,162,002,855,988,142,343,236,068,200,949,214,357,554,
207,885,456,703,752,811,327,851,751,909,416,893,167,231,053,912,446,710,803,
151,818,845,819,760,193,751,238,538,466,069,245,661,044,043,427,290,518,913,
823,065,073,343,403,660,299,525,457,673,561,637,717,492,475,617,599,594,233,
070,262,906,388,796,302,745,612,917,462,909,578,105,817,496,704,493,971,204,
317,142,006,410,220,505,376,960,836,429,377,454,994,256,025,925,748,980,815,
979,148,359,319,089,938,476,998,691,904,472,121,222,788,730,732,827,922,632,
593,210,252,501,558,923,864,693,785,765,075,227,365,185,185,432,307,486,066,
610,809,493,368,262,459,567,682,311,136,629,856,891,638,372,621,454,223,193,
073,607,316,728,230,532,527,418,439,099,332,115,064,251,987,077,123,030,560,
371,976,322,047,773,325,670,147,495,022,530,928,530,687,625,535,482,264,734,
985,272,882,223,695,742,979,775,369,963,007,062,428,734,818,058,973,978,324,
151,640,186,158,963,774,384,816,005,799,434,400,802,561,988,257,080,019,784,
689,702,149,944,986,309,980,311,736,821,980,293,424,340,010,321,090,719,774,
271,660,121,349,791,046,058,717,643,574,222,561,035,467,272,820,256,813,257,
387,071,162,148,533,474,427,326,256,855,577,195,027,975,846,011,236,933,083,
669,833,769,258,752,097,944,862,880,945,378,804,245,259,443,147,084,099,820,
254,218,044,337,548,208,081,542,201,458,604,150,164,924,092,324,115,744,957,
783,934,608,970,283,078,186,961,109,413,828,790,206,690,603,240,634,011,900,
348,302,686,762,944,437,269,471,169,798,836,307,243,130,412,806,914,235,342,
097,669,931,119,431,026,081,436,365,195,625,966,506,170,466,790,213,711,154,
440,894,987,281,680,327,257,606,479,827,683,675,554,142,708,718,329,399,650,
523,892,782,646,219,837,024,249,099,846,837,552,341,885,331,192,365,960,096,
716,920,570,074,924,000,239,823,684,503,924,445,157,714,240,661,522,370,296,
460,294,274,357,519,508,693,728,590,859,966,550,456,829,837,957,591,472,701,
323,986,913,798,651,965,213,365,187,224,643,920,682,426,808,117,703,218,377,
693,551,307,563,711,014,782,301,680,514,528,904,839,514,587,649,226,719,475,
846,329,987,239,923,785,256,250,973,326,894,249,933,656,284,045,281,935,863,
025,366,513,322,198,258,449,669,302,921,652,060,424,895,427,735,426,170,035,
061,025,800,963,575,886,039,718,970,078,552,376,334,385,323,704,359,950,931,
761,645,053,809,986,100,072,047,730,160,727,576,401,135,811,904,788,640,007,
966,353,515,901,953,485,946,571,751,101,575,681,116,740,528,029,565,260,881,
639,311,707,616,129,764,905,390,953,139,588,847,041,165,214,045,642,159,296,
087,947,103,241,672,604,691,114,459,949,544,132,198,678,155,213,192,856,328,
959,597,882,482,921,154,074,471,333,910,513,039,928,594,541,306,876,988,394,
208,452,386,746,280,531,126,997,993,775,065,485,069,213,251,328,566,852,134,
374,735,889,589,532,358,948,564,368,371,202,002,329,405,777,589,056,236,654,
357,553,077,050,525,774,754,367,646,317,785,603,590,669,588,124,916,642,975,
083,343,695,027,654,570,465,030,315,412,370,761,535,785,743,956,076,231,122,
509,911,544,728,999,912,605,546,149,048,182,696,242,248,915,445,545,720,969,
697,265,678,527,654,006,941,493,569,524,192,215,020,054,121,788,715,758,597,
367,133,303,026,858,369,818,440,084,478,680,282,503,480,536,075,640,205,329,
377,639,823,980,988,199,678,754,944,325,375,643,242,760,085,933,327,664,400,
781,550,433,219,113,404,172,138,973,658,574,918,259,389,678,730,128,365,160,
727,319,835,928,699,392,962,340,383,714,983,860,258,375,686,520,693,481,975,
093,635,405,015,101,282,781,898,935,143,747,894,546,188,859,405,507,925,784,
127,705,391,558,333,199,890,382,898,577,579,084,923,745,373,781,039,569,874,
175,591,034,743,960,008,347,000,908,536,485,608,823,449,651,117,196,088,554,
234,523,317,777,477,011,933,767,509,507,840,687,891,370,897,939,486,377,835,
016,815,481,309,825,767,627,934,165,776,794,082,756,057,996,778,352,745,513,
760,269,742,974,457,605,908,839,344,603,074,632,923,906,228,736,342,299,288,
867,947,983,640,681,630,643,589,771,053,622,645,260,848,398,636,081,917,108,
552,732,480,959,731,048,529,260,024,411,670,423,797,748,781,226,437,211,164,
132,753,044,474,490,573,056,010,733,768,212,271,755,904,843,100,635,426,396,
942,922,148,905,983,956,705,354,417,388,218,159,104,655,240,730,355,109,600,
731,243,577,076,867,427,044,985,440,318,114,635,226,696,372,285,755,165,761,
786,116,186,820,741,361,137,839,880,946,756,459,140,725,150,558,089,326,497,
821,614,543,830,433,133,557,263,093,909,131,461,375,932,401,543,336,477,554,
317,953,845,355,388,613,996,444,973,564,786,524,854,860,493,601,956,035,105,
820,708,967,094,056,556,397,181,174,185,278,155,938,944,781,249,274,505,643,
103,460,898,251,549,053,507,816,477,296,893,636,479,875,128,285,210,610,801,
333,074,117,622,725,681,752,575,346,003,247,143,845,341,935,517,398,369,431,
409,994,314,488,670,977,037,507,505,122,327,451,165,827,890,746,052,426,481,
099,190,726,635,213,431,885,767,464,207,573,178,494,501,309,497,958,609,868,
912,904,431,716,637,945,719,296,913,818,897,141,496,258,531,543,907,417,360,
450,354,350,203,132,607,918,869,164,812,118,339,156,273,257,438,264,262,357,
805,753,171,601,437,558,711,630,816,076,246,499,528,305,215,830,314,226,524,
489,125,941,487,304,516,694,969,029,378,712,323,528,965,077,043,551,463,007,
079,468,699,586,767,264,926,215,899,219,163,335,593,303,818,429,940,818,280,
560,702,700,517,295,233,376,041,209,552,114,915,086,543,550,101,926,805,277,
210,392,483,402,048,584,384,771,320,309,924,452,672,433,355,291,090,875,294,
074,674,313,856,948,339,613,398,523,417,565,726,437,674,256,748,576,635,116,
009,754,744,713,625,220,508,797,003,023,180,350,206,955,960,493,623,231,257,
871,195,914,485,410,104,184,812,486,782,419,169,544,615,591,936,525,758,182,
534,904,072,828,780,534,681,403,984,591,166,878,696,287,625,024,005,819,986,
427,519,971,263,541,862,874,717,602,592,261,605,267,990,798,545,986,905,675,
388,376,947,176,079,872,813,870,822,989,818,818,985,581,127,600,443,853,669,
941,622,040,810,693,977,555,620,722,655,429,142,390,166,278,540,318,424,778,
689,906,174,421,385,676,486,833,539,769,769,024,348,065,580,623,417,063,989,
837,058,442,583,409,572,878,530,835,066,925,378,663,576,917,534,335,663,831,
367,509,186,486,586,542,713,775,315,193,426,969,713,109,882,746,182,886,534,
654,029,835,476,584,087,147,769,305,014,622,501,797,596,208,603,280,335,718,
011,177,186,072,489,584,943,972,885,716,888,893,943,286,611,081,207,454,593,
282,290,229,152,582,399,469,166,877,942,302,169,689,629,669,801,644,672,957,
911,113,905,571,697,861,129,595,043,655,128,514,107,247,876,432,476,182,532,
631,102,355,163,849,782,261,238,376,067,607,689,749,308,063,203,532,565,970,
801,207,509,838,857,037,661,158,974,397,927,233,877,395,415,810,486,066,810,
593,175,955,617,973,990,254,072,363,677,332,753,577,738,297,802,997,342,143,
782,335,720,488,855,797,596,284,382,488,539,163,030,605,772,971,433,057,908,
848,304,661,842,320,784,629,176,986,441,306,820,678,793,675,690,736,112,442,
742,469,575,479,303,879,160,036,571,605,142,708,080,790,498,302,832,726,525,
040,906,129,870,592,276,554,826,397,571,419,806,149,462,983,114,577,343,516,
623,785,464,014,628,655,776,945,652,206,387,228,887,810,654,879,267,521,908,
783,433,499,953,307,007,824,690,347,919,264,434,302,592,536,446,656,817,355,
175,535,302,249,846,762,942,381,193,802,880,109,862,671,403,098,570,767,544,
734,241,445,495,862,910,051,535,857,947,453,688,145,183,240,292,432,375,349,
556,279,926,877,122,490,105,666,958,108,975,774,422,009,067,317,215,978,406,
649,859,243,075,399,141,069,829,211,327,395,815,509,119,180,702,711,555,349,
840,952,055,733,932,586,845,824,976,960,338,047,195,843,172,748,064,275,978,
161,594,139,181,995,286,516,027,531,135,154,045,241,968,565,836,414,251,185,
218,689,664,138,465,513,198,907,907,597,341,767,380,337,337,609,577,635,194,
408,170,910,558,588,270,313,028,629,312,404,202,765,291,724,768,031,279,077,
487,067,796,520,777,415,072,883,839,516,273,619,584,756,571,372,022,472,043,
782,550,538,635,784,309,179,008,934,970,591,568,291,605,636,733,167,569,128,
512,159,169,357,660,985,689,029,465,605,605,632,599,442,252,600,144,885,076,
555,322,958,154,870,851,783,718,036,794,257,022,687,958,222,038,798,634,503,
442,656,918,713,264,294,500,672,176,213,366,721,013,348,931,512,435,203,378,
560,750,519,016,791,737,270,772,333,776,956,736,558,757,356,028,469,208,323,
008,969,332,304,943,985,905,070,721,845,370,977,013,022,212,689,576,354,556,
743,908,390,143,795,013,698,525,625,505,577,948,534,752,799,830,739,613,011,
577,550,772,420,057,109,217,310,370,571,560,523,008,613,664,480,270,733,183,
462,262,385,973,831,813,077,702,607,066,659,812,904,475,787,634,833,723,294,
473,098,379,085,847,326,908,346,594,320,885,051,181,955,293,734,522,958,280,
838,094,864,794,337,914,649,758,129,867,911,240,812,005,228,569,029,311,991,
348,374,403,723,299,453,415,476,194,509,531,430,491,882,637,152,815,637,515,
458,648,397,777,994,286,469,576,728,353,112,840,170,177,441,550,065,058,351,
576,704,043,777,124,580,246,727,420,100,330,734,847,051,956,097,229,330,035,
282,824,933,224,738,578,892,509,643,179,702,592,942,648,657,655,092,634,240,
490,610,550,243,578,020,722,500,361,755,080,440,337,723,194,463,877,759,149,
313,165,499,883,670,134,029,678,466,055,233,108,815,081,544,520,889,633,350,
383,858,581,545,849,514,632,913,810,830,290,577,979,337,791,704,321,331,094,
276,833,883,472,997,843,559,957,385,808,361,690,654,340,416,776,002,513,264,
735,212,456,268,305,187,046,704,541,183,836,411,532,770,837,289,046,287,262,
490,952,205,760,324,754,853,814,368,432,100,117,828,069,243,506,818,898,041,
451,201,845,539,667,007,398,806,338,686,469,424,287,869,379,639,943,308,691,
445,480,876,065,581,849,928,520,261,492,192,639,810,324,603,164,782,744,180,
371,007,421,808,878,839,407,541,078,681,486,752,421,064,193,997,743,652,639,
263,959,634,713,799,117,356,452,895,515,154,129,640,460,927,058,340,701,417,
362,521,932,860,517,051,968,216,332,345,314,644,302,068,055,596,764,387,893,
687,573,882,105,766,954,696,222,217,172,678,908,868,075,905,550,680,861,567,
946,540,662,614,071,536,669,623,620,111,102,575,163,085,127,944,899,075,801,
755,257,310,884,088,864,457,250,788,145,121,177,317,732,847,262,323,738,387,
251,729,471,500,211,899,886,752,861,145,216,946,726,451,946,004,638,566,465,
593,878,337,926,985,230,872,528,502,254,330,549,822,572,500,960,491,931,463,
483,240,435,877,926,598,866,912,753,819,123,543,657,889,140,339,832,323,880,
667,115,022,106,444,842,938,009,498,265,431,457,809,744,774,841,816,771,190,
963,210,631,572,662,776,951,931,983,154,915,688,345,652,578,436,733,433,377,
730,648,627,091,175,890,615,556,253,800,741,187,460,311,458,615,573,898,433,
928,599,549,540,705,588,041,592,280,251,901,670,012,716,217,442,523,459,867,
137,838,515,725,873,989,475,651,283,511,881,539,128,489,567,975,321,810,951,
511,518,835,871,759,053,013,603,078,378,253,028,532,913,547,794,879,646,140,
139,819,881,022,736,492,323,226,345,274,294,582,828,957,274,844,501,016,885,
348,282,700,726,491,617,145,644,369,375,700,285,478,140,957,264,230,948,630,
601,761,732,269,525,135,713,637,322,653,861,720,958,053,869,623,962,032,086,
844,921,088,268,381,794,520,938,974,159,521,405,617,551,619,514,872,066,266,
367,698,300,900,274,731,349,038,280,194,285,192,763,116,462,181,099,028,079,
512,764,648,427,890,461,052,183,799,781,175,394,682,302,012,927,537,400,146,
479,110,258,505,966,104,002,383,726,003,741,472,502,250,008,311,015,992,999,
167,675,254,679,769,769,434,041,534,941,086,582,118,004,328,069,835,158,492,
976,439,231,943,015,826,960,627,540,157,532,607,355,461,938,711,624,879,200,
285,070,249,797,339,627,315,467,330,031,928,587,141,036,183,310,060,685,664,
252,574,211,807,419,710,025,553,751,283,243,384,617,190,236,847,969,697,808,
727,672,661,863,343,945,743,141,589,101,616,616,159,135,154,711,543,470,091,
407,139,749,234,760,250,222,914,667,956,550,532,033,619,846,113,528,182,126,
510,814,730,614,220,937,755,140,572,196,419,731,741,510,291,664,273,186,975,
099,259,325,184,032,107,921,201,309,954,581,766,028,092,261,286,294,112,004,
809,712,058,640,947,422,799,896,390,905,096,090,112,391,299,049,684,360,230,
606,792,178,647,502,889,954,999,063,889,421,999,356,166,279,776,415,864,615,
633,759,661,875,416,536,887,950,003,616,192,105,596,513,062,588,986,679,641,
923,080,153,494,803,189,979,786,962,031,655,644,521,498,595,096,681,886,105,
962,727,281,682,556,314,444,680,294,892,546,853,154,812,759,984,521,246,969,
074,301,516,043,080,765,412,577,032,142,975,713,788,111,060,826,766,715,936,
701,955,040,292,405,701,009,246,997,636,919,240,245,133,458,067,261,634,267,
616,355,879,553,815,078,285,102,716,615,907,069,677,594,248,690,076,009,852,
107,934,907,978,503,717,611,886,595,321,716,196,484,159,836,524,617,311,152,
809,351,076,184,225,765,792,655,611,593,878,570,492,267,900,998,192,440,617,
163,841,569,389,309,091,616,605,645,523,818,320,413,246,750,075,228,457,530,
597,583,915,441,235,707,284,399,946,866,355,537,823,620,184,886,054,892,649,
169,393,841,232,610,174,023,910,642,966,581,208,282,190,312,864,250,389,892,
938,054,017,617,008,092,536,283,774,909,599,158,329,629,915,505,624,859,521,
643,274,849,399,300,881,279,846,964,710,991,021,362,425,019,264,811,225,903,
282,274,614,026,708,109,695,403,172,639,899,916,065,174,763,199,671,309,015,
388,074,415,710,725,201,922,495,347,192,600,918,803,330,656,987,964,461,668,
289,283,644,973,671,930,362,550,740,659,357,903,122,231,242,642,233,894,131,
241,514,775,907,280,086,324,365,665,910,398,916,839,137,646,614,741,162,900,
245,389,256,501,012,655,918,478,047,836,960,888,386,706,026,956,173,819,850,
211,977,842,824,949,614,931,909,163,219,197,937,102,664,707,647,855,523,834,
501,681,166,310,563,672,304,094,059,403,455,549,171,686,684,113,723,714,964,
228,485,671,943,340,905,219,562,308,099,698,999,744,178,002,585,418,172,298,
169,670,905,323,676,387,768,022,224,256,176,054,576,358,726,543,141,894,439,
711,008,858,413,196,079,636,926,703,276,769,994,816,948,096,043,284,741,500,
450,875,271,160,231,920,330,661,693,931,141,939,642,583,878,025,104,855,631,
999,517,770,050,215,221,346,517,623,885,280,856,121,714,500,172,197,074,654,
045,593,228,176,878,922,499,203,138,864,910,221,461,425,366,102,380,715,589,
738,878,744,997,853,029,665,673,557,754,162,106,487,192,859,683,247,540,276,
802,893,251,069,009,452,283,533,585,244,903,445,552,644,212,717,422,561,042,
452,846,856,066,774,781,290,480,953,409,644,323,633,491,040,096,737,802,569,
840,124,074,924,087,371,927,060,739,149,542,343,764,027,887,716,030,752,563,
033,587,591,241,477,190,431,879,510,083,071,113,119,792,874,918,670,032,797,
994,633,004,364,429,766,219,850,905,494,557,863,935,416,977,524,963,979,765,
642,421,282,913,879,165,037,413,413,805,414,595,178,675,313,418,083,474,638,
384,378,837,112,075,379,570,637,220,870,838,151,985,814,596,650,762,540,255,
438,953,892,575,023,608,609,188,782,884,460,846,143,451,236,774,303,843,847,
912,582,126,262,324,721,621,740,352,104,410,714,630,955,120,599,364,140,178,
121,487,028,437,646,658,083,212,652,653,664,114,971,222,647,180,382,169,776,
964,158,306,379,959,717,807,523,396,617,343,662,493,499,139,037,808,761,452,
307,101,139,426,245,874,673,021,529,651,794,086,701,478,765,077,684,771,468,
464,793,680,078,570,672,181,835,191,213,207,376,108,599,871,312,029,801,278,
996,958,576,732,661,964,827,835,202,714,083,791,414,585,420,548,125,877,177,
669,935,095,516,879,450,021,995,365,012,657,824,216,438,021,987,683,848,065,
468,135,545,146,113,697,758,885,786,659,298,000,970,358,066,539,158,290,133,
978,771,458,460,975,626,966,195,728,838,029,368,477,243,222,938,876,916,286,
152,124,569,317,082,550,617,409,039,041,343,303,754,502,245,101,662,936,391,
197,678,445,185,744,846,387,012,565,105,737,245,385,243,670,232,756,072,178,
577,656,629,935,516,035,199,255,212,020,751,479,042,030,526,454,720,160,703,
104,739,267,000,881,287,568,430,310,810,085,997,033,510,885,365,099,712,766,
640,124,907,032,865,336,953,758,430,772,102,022,650,191,920,774,870,219,973,
593,792,131,205,562,336,834,480,114,691,883,497,623,356,859,753,445,284,573,
972,728,976,968,643,128,618,405,411,027,426,002,843,810,060,188,581,781,206,
947,706,626,481,897,325,958,455,892,324,232,539,387,641,478,487,187,939,581,
665,454,818,446,471,339,742,337,443,603,487,756,234,783,683,772,421,237,755,
106,793,557,039,231,776,858,123,879,522,805,388,570,808,379,406,561,061,782,
616,230,043,814,495,411,704,495,582,145,488,691,561,358,271,185,366,601,463,
038,104,503,492,434,751,212,727,421,758,033,923,881,779,860,834,772,969,325,
773,431,025,721,750,605,748,299,075,350,848,768,062,212,151,757,104,270,651,
445,634,360,743,919,181,015,009,534,695,821,256,263,380,572,710,423,082,425,
153,876,359,624,017,969,106,707,513,794,608,663,022,256,805,459,377,730,455,
462,353,069,385,584,888,268,892,181,896,787,821,138,350,016,281,618,240,004,
258,226,824,996,567,086,929,820,042,996,958,626,338,551,382,844,881,672,882,
343,415,347,524,579,021,556,834,234,006,642,659,161,756,342,723,286,610,464,
269,012,851,755,738,143,934,044,446,297,702,760,667,659,652,515,892,293,600,
393,997,381,133,258,354,936,142,882,962,141,393,444,556,895,459,767,045,297,
796,380,203,890,586,571,149,632,005,373,595,768,901,676,243,669,278,629,709,
819,253,564,915,207,356,707,022,536,623,542,023,410,798,960,905,256,527,910,
608,410,405,213,166,965,688,260,770,675,347,581,226,876,336,922,366,011,489,
218,135,300,949,461,391,472,853,355,855,015,838,276,087,223,651,364,247,677,
804,469,387,767,801,336,848,557,429,716,577,191,630,188,354,818,761,272,422,
485,003,409,204,627,861,136,321,474,493,990,724,174,797,938,467,663,375,346,
394,397,731,546,057,529,800,339,747,004,767,727,778,602,394,716,198,110,252,
480,582,823,770,180,165,188,889,394,925,288,882,506,710,631,936,241,334,805,
408,593,077,104,516,305,842,381,539,474,117,622,443,034,767,283,171,684,543,
436,229,310,170,356,629,378,745,141,075,433,205,251,460,175,354,748,289,998,
035,051,276,479,139,368,033,580,845,908,043,686,030,580,498,550,561,649,099,
175,025,261,625,344,470,773,467,756,172,265,924,530,341,352,282,892,734,911,
678,570,226,839,393,553,676,109,952,614,816,942,044,195,264,624,109,236,217,
339,868,974,896,841,833,966,310,301,523,779,546,290,543,231,710,341,391,600,
534,589,451,512,869,850,300,131,590,349,411,643,093,140,671,653,174,921,217,
289,308,021,523,007,670,414,080,775,862,128,442,107,395,024,271,665,160,242,
340,116,833,732,913,032,967,915,677,223,657,953,635,575,466,387,771,622,445,
322,245,378,968,205,613,223,215,454,975,143,353,105,739,830,466,200,853,878,
722,564,598,249,373,785,685,093,464,903,176,370,354,574,610,834,316,557,741,
745,847,612,231,505,268,321,264,342,284,435,855,107,391,467,415,770,887,124,
026,347,905,092,736,450,835,742,884,770,827,382,031,142,434,133,504,749,384,
313,823,197,469,335,136,769,366,432,244,139,565,149,113,864,052,243,944,485,
228,991,256,209,759,294,621,498,758,779,319,856,057,591,747,162,441,200,946,
365,179,260,421,275,836,496,473,295,269,979,709,511,990,689,302,342,776,922,
948,789,883,792,797,215,166,140,771,327,960,491,781,891,265,614,427,564,191,
245,833,162,152,419,841,448,973,536,994,161,115,098,405,083,769,477,826,772,
399,095,056,819,799,942,733,018,273,994,570,137,071,064,537,474,257,799,520,
487,613,582,420,404,282,541,423,504,236,210,172,706,171,629,762,797,177,671,
791,976,090,112,109,341,603,991,497,975,700,980,736,562,759,277,848,537,875,
214,645,606,311,474,067,665,772,464,311,830,982,461,221,009,236,682,161,442,
832,771,716,031,800,028,327,811,862,499,601,709,832,797,453,870,335,137,749,
729,344,491,524,345,779,315,443,582,792,985,127,671,471,319,775,116,574,406,
895,475,979,854,461,074,082,276,135,468,528,105,856,115,535,303,943,570,733,
874,553,160,650,951,653,502,624,434,542,857,020,794,648,808,127,079,087,107,
527,723,817,907,772,101,224,550,539,963,168,989,677,609,530,694,637,466,080,
470,499,586,397,331,504,694,275,173,726,281,147,868,570,778,334,398,000,473,
519,836,770,582,147,025,679,747,974,175,873,965,993,570,424,541,613,559,453,
670,266,330,281,922,051,076,994,381,677,462,863,779,162,426,326,922,601,538,
886,923,264,424,258,462,821,552,032,104,364,011,410,180,230,174,771,065,597,
055,013,629,752,909,353,281,501,038,199,849,049,181,580,130,882,772,021,421,
954,461,956,664,169,930,369,781,662,589,349,087,816,108,222,117,644,979,326,
680,251,894,309,461,996,085,209,695,951,576,462,670,966,428,684,053,259,836,
791,738,889,640,311,305,910,245,660,987,217,544,657,838,849,534,654,929,184,
604,950,487,040,254,930,526,580,974,465,702,608,913,971,308,141,557,316,381,
123,773,313,387,733,739,291,989,462,509,960,526,010,624,235,120,234,671,241,
704,133,043,381,925,623,287,507,432,759,859,360,664,017,680,622,991,677,868,
229,666,813,149,011,979,546,040,737,662,747,058,402,365,565,430,504,644,306,
044,989,491,210,594,835,020,648,703,609,242,556,161,746,106,175,823,665,204,
476,001,862,784,223,964,747,641,775,726,125,901,698,300,754,677,514,373,067,
046,871,243,220,820,315,559,260,286,860,514,556,886,600,506,186,744,145,990,
467,219,948,166,027,131,044,437,069,478,595,526,719,330,965,975,110,979,976,
254,772,492,115,029,181,586,844,837,890,351,576,175,756,360,259,484,150,224,
487,544,610,183,013,922,902,036,825,508,328,989,564,573,953,520,241,185,738,
342,814,086,482,926,063,304,497,794,957,986,541,601,268,597,998,821,061,737,
999,803,313,065,759,787,164,385,152,747,315,048,976,293,052,022,814,279,737,
982,587,041,985,545,056,081,540,040,347,545,844,430,868,606,659,108,578,121,
363,058,073,515,614,867,796,489,167,155,850,293,670,614,185,980,480,092,345,
316,053,004,974,827,837,595,159,351,611,132,005,722,454,758,881,007,600,353,
510,654,978,616,360,242,229,457,124,059,380,441,773,042,304,039,577,812,884,
692,917,691,302,382,338,096,097,824,365,439,099,452,109,202,745,879,826,773,
114,497,399,474,038,974,417,498,461,322,540,806,146,679,461,135,821,482,750,
413,757,539,333,724,026,834,248,730,984,994,362,082,758,622,772,704,803,925,
010,078,506,183,239,125,489,264,213,514,421,890,033,961,145,773,101,672,493,
472,783,676,754,126,276,967,443,242,249,000,829,612,029,554,721,504,782,093,
046,114,384,659,313,619,708,795,745,418,806,325,044,357,849,902,806,359,126,
865,848,430,374,179,901,610,125,017,171,968,634,324,977,385,637,177,514,745,
368,975,255,876,699,329,469,014,117,512,027,807,569,725,449,676,338,172,918,
886,612,586,295,928,047,804,855,488,759,361,079,574,301,565,433,770,713,236,
929,493,025,525,107,579,785,641,445,571,744,950,512,080,465,994,481,650,468,
450,956,743,233,359,217,806,946,499,430,467,629,431,327,014,447,748,207,765,
660,223,016,546,419,785,094,352,297,953,935,719,730,321,621,251,602,979,838,
900,719,798,781,799,427,484,847,720,692,937,313,696,224,281,516,154,819,185,
384,954,700,722,760,240,633,350,398,143,245,964,614,068,790,486,733,889,062,
194,720,838,583,492,193,432,901,933,451,089,239,015,277,898,896,756,451,441,
776,074,506,501,970,490,559,947,384,872,488,609,849,371,441,312,106,127,585,
249,947,833,139,438,418,645,045,034,301,344,586,126,658,290,209,141,692,727,
935,074,078,257,749,438,664,430,062,212,411,064,885,419,029,879,100,411,198,
030,076,728,788,469,443,108,793,057,776,030,674,275,351,336,481,764,916,814,
871,068,654,307,116,209,634,078,961,351,583,108,093,576,593,858,510,626,933,
152,724,749,800,052,683,027,167,487,684,942,880,285,813,788,610,960,449,524,
184,473,081,087,899,802,969,911,023,198,403,543,868,573,617,584,729,401,690,
693,730,557,865,791,032,576,775,855,419,802,937,493,175,319,443,645,424,666,
271,195,130,297,806,704,044,775,180,753,790,821,365,988,181,420,191,599,316,
939,588,853,145,183,972,615,251,899,364,841,186,390,497,574,494,459,457,793,
521,115,505,615,869,611,708,794,659,753,190,078,079,743,612,120,656,665,342,
092,386,905,815,906,318,789,752,688,906,102,328,546,087,011,792,114,291,976,
596,292,158,076,049,305,774,884,258,803,447,984,322,640,734,471,438,778,958,
026,868,084,670,194,602,009,303,525,381,669,807,820,562,806,368,557,433,619,
615,394,775,213,050,395,769,866,712,574,687,559,063,678,962,342,338,467,239,
692,850,772,533,800,180,354,090,477,750,377,092,117,006,981,045,705,491,267,
467,398,547,136,242,901,980,004,018,018,974,321,967,675,195,085,509,956,614,
552,227,270,253,271,319,017,094,052,314,342,781,168,998,763,374,460,397,239,
426,375,029,733,984,410,901,529,863,514,803,285,298,976,408,159,801,058,985,
735,287,279,482,147,568,730,803,150,593,555,656,208,731,029,797,976,679,595,
560,940,853,253,930,863,696,495,249,284,804,204,003,141,868,820,281,484,367,
547,823,143,990,614,933,934,758,307,982,476,849,235,947,047,530,989,156,929,
126,801,051,835,737,422,688,241,720,985,119,052,398,592,526,288,135,366,429,
770,317,171,224,899,840,541,256,217,551,087,753,452,165,673,616,888,310,146,
338,853,856,698,816,058,919,788,736,601,078,861,021,127,900,892,215,749,726,
189,117,863,352,568,147,949,837,460,393,096,829,990,085,796,005,198,926,953,
850,744,047,571,318,257,673,484,338,290,511,553,084,964,538,153,424,659,195,
088,469,499,928,016,721,496,312,426,050,341,543,009,628,746,267,333,060,314,
708,079,090,910,545,398,770,997,248,968,457,308,458,042,419,126,511,508,857,
726,804,469,233,232,378,785,350,020,082,652,922,432,130,757,446,660,966,057,
700,785,130,010,864,387,449,754,334,071,458,430,832,863,183,777,789,938,256,
503,757,720,711,604,882,417,811,391,779,991,449,085,955,253,254,732,004,977,
823,680,845,717,832,762,845,372,278,652,941,093,059,236,878,624,812,340,169,
762,979,334,142,072,502,688,943,257,105,220,694,835,555,477,430,609,495,952,
624,677,092,995,046,037,749,362,093,113,041,344,349,386,235,752,513,503,892,
191,667,676,514,715,931,372,441,671,065,031,775,512,796,015,628,406,869,655,
584,311,982,585,096,865,820,322,406,107,942,439,468,555,260,231,966,250,055,
981,489,303,302,872,446,444,311,150,680,694,385,753,414,543,004,613,411,925,
101,454,903,583,440,940,613,293,689,224,469,454,219,086,382,971,715,826,672,
975,587,535,135,984,010,131,106,206,517,992,596,252,827,173,868,835,180,895,
565,214,571,345,553,142,666,869,280,182,138,522,798,271,070,993,488,546,480,
415,297,861,893,281,071,410,911,303,781,849,655,234,555,360,762,183,352,884,
044,153,628,466,262,232,203,567,814,561,503,555,739,825,346,824,533,493,187,
886,195,438,629,360,964,812,512,538,951,205,736,362,549,970,682,686,468,484,
728,402,845,329,292,043,732,499,977,479,266,654,255,712,846,895,238,403,339,
337,527,723,655,313,785,985,672,586,779,296,422,393,106,305,282,101,305,512,
188,880,806,203,112,595,722,978,356,862,980,608,497,996,758,294,983,894,978,
149,061,099,319,168,395,094,401,861,299,438,787,679,859,772,881,529,404,931,
540,783,357,158,338,059,411,460,876,799,973,507,589,436,393,103,744,977,806,
960,314,969,415,534,793,649,859,353,971,335,283,284,900,161,657,737,684,106,
396,147,947,001,079,853,953,820,677,749,788,209,186,807,544,124,465,509,778,
366,595,157,302,245,444,675,998,766,897,524,280,854,219,130,148,496,768,206,
745,550,305,628,990,671,033,749,729,074,909,684,696,522,481,501,352,111,785,
678,031,228,180,636,159,905,618,885,754,830,943,242,054,798,093,759,197,047,
597,081,615,992,860,102,606,745,804,394,216,637,276,794,862,932,507,771,160,
213,414,451,112,665,508,675,536,877,825,497,255,121,526,975,878,280,763,803,
846,715,499,173,772,736,807,080,396,651,612,671,643,132,983,857,870,457,931,
122,901,688,850,974,556,321,473,449,060,500,176,357,440,601,688,887,538,123,
482,685,425,777,536,832,415,137,044,617,913,789,999,841,958,056,090,686,568,
060,229,386,728,852,980,709,982,184,201,235,426,389,852,564,913,729,685,669,
828,572,443,650,512,982,570,381,810,069,427,827,549,949,478,393,272,712,715,
964,151,869,690,315,024,245,341,221,137,895,851,674,916,054,369,256,540,079,
797,762,596,837,770,391,167,032,550,861,978,542,250,985,939,619,773,265,003,
689,047,989,038,419,459,215,817,093,885,635,173,620,352,626,010,498,577,704,
123,768,303,645,410,578,381,451,602,367,668,895,275,910,508,038,176,295,636,
615,969,396,028,476,808,485,746,190,209,489,911,429,440,309,091,124,013,667,
169,102,057,180,881,071,725,090,399,193,721,010,457,958,401,949,870,777,509,
027,039,207,537,553,370,933,003,597,956,247,985,477,163,950,384,851,319,136,
686,250,994,012,291,898,530,248,221,528,175,261,811,192,262,090,666,056,607,
266,248,760,294,677,179,691,822,334,087,172,865,442,134,273,154,588,465,977,
694,625,186,514,757,236,551,986,769,097,185,245,763,429,069,430,706,449,116,
400,586,167,229,372,907,134,685,229,190,777,730,311,726,782,764,304,145,667,
262,378,386,409,896,925,242,139,445,900,472,086,363,164,508,003,742,966,345,
864,741,804,678,982,219,033,300,059,890,886,351,001,422,365,646,727,597,796,
816,217,659,494,507,923,466,338,458,584,354,085,332,658,051,985,420,514,245,
037,366,226,282,300,902,364,839,645,109,065,302,152,212,766,650,322,578,597,
511,333,753,452,275,251,673,079,207,569,244,105,395,154,957,806,237,352,321,
535,029,914,538,921,390,442,816,206,413,285,593,134,969,895,947,546,631,566,
226,492,605,334,112,332,101,361,491,454,351,654,750,725,801,009,025,118,832,
941,100,295,413,154,057,391,927,055,868,227,748,408,063,487,919,715,783,816,
609,121,380,756,658,012,932,782,591,066,230,733,046,246,281,338,329,357,547,
563,025,745,716,736,717,384,966,319,225,643,797,199,826,670,798,259,471,453,
346,523,403,803,859,453,690,641,895,155,797,927,440,018,987,869,152,394,436,
395,046,234,025,757,030,860,349,720,453,796,641,982,923,559,762,764,656,323,
479,677,024,517,407,104,423,107,896,986,013,483,217,118,813,385,713,243,355,
109,325,882,596,204,329,750,046,048,903,285,767,639,782,948,378,542,269,192,
573,973,106,901,274,141,735,649,036,043,550,553,093,015,965,680,214,120,620,
502,451,200,079,858,244,132,018,126,437,936,370,339,254,359,426,175,457,157,
988,648,477,387,907,570,413,785,428,739,619,219,130,097,315,543,957,544,469,
383,036,732,443,957,509,639,079,112,858,902,871,650,249,127,021,449,967,717,
171,567,941,324,640,986,724,710,790,586,593,474,494,957,566,453,228,201,193,
485,214,532,984,537,940,393,316,816,714,332,551,396,483,391,381,683,529,404,
156,535,848,645,720,898,371,191,022,549,493,213,579,990,047,543,225,226,417,
422,757,041,959,569,227,079,695,058,253,206,854,573,504,507,725,136,055,735,
750,558,012,998,783,116,558,427,581,591,428,823,290,812,201,943,039,288,746,
105,944,414,739,072,829,409,721,755,892,753,537,974,652,189,729,460,680,009,
372,459,311,990,588,269,184,316,706,077,716,397,416,328,265,915,279,449,869,
439,395,298,790,989,671,495,290,232,298,938,252,240,202,479,793,233,403,003,
350,584,897,077,465,142,477,216,330,682,283,660,602,499,313,460,528,214,640,
539,932,419,054,952,137,901,769,842,188,288,019,501,828,692,326,658,965,048,
071,047,692,077,242,738,417,189,758,987,364,123,831,309,291,009,995,079,423,
411,910,101,532,815,426,021,797,523,146,390,442,484,042,918,496,750,758,662,
616,118,674,801,003,769,833,243,285,598,294,543,532,427,205,559,837,055,795,
504,899,053,613,068,323,234,178,013,700,561,787,937,608,288,804,411,537,409,
032,807,624,264,878,848,880,334,952,876,835,329,936,101,904,824,906,566,276,
908,507,110,514,785,605,095,564,600,090,901,668,399,579,905,631,579,820,624,
038,388,722,226,129,362,408,403,073,617,231,132,032,863,179,021,500,577,712,
631,895,750,708,667,100,143,197,131,941,114,833,534,088,518,022,807,505,757,
421,825,725,307,205,085,477,924,108,289,443,483,929,476,017,055,066,287,981,
589,832,605,699,590,121,170,038,314,789,127,612,035,239,656,747,574,592,534,
502,723,290,103,182,901,277,642,299,304,809,871,736,114,660,580,289,719,586,
529,671,967,508,329,719,344,592,832,176,107,135,190,115,973,585,269,259,156,
740,843,467,218,091,963,758,874,874,084,221,934,923,631,101,957,033,232,213,
016,817,745,859,441,890,846,833,594,301,638,537,917,640,180,531,726,346,039,
943,116,381,313,153,639,271,830,198,290,732,702,728,669,473,008,528,075,105,
254,161,347,984,467,462,696,011,634,521,662,701,924,877,999,930,863,114,984,
117,556,154,000,088,517,724,625,267,400,660,600,576,180,444,442,569,320,709,
983,275,365,570,839,614,140,940,403,451,452,505,687,943,705,511,519,123,544,
732,656,823,940,619,453,139,986,089,461,602,709,678,006,414,917,373,378,566,
174,872,653,484,709,544,846,657,223,618,010,584,190,532,819,435,612,118,479,
588,195,562,965,261,423,823,659,918,668,478,584,025,993,189,609,662,100,434,
440,197,805,965,356,590,635,081,883,646,038,021,888,031,896,844,338,083,628,
341,483,544,682,864,508,988,048,052,807,278,608,129,122,462,377,347,717,606,
888,371,736,409,625,214,517,774,777,290,725,206,927,641,740,208,092,024,829,
861,817,466,376,309,669,355,378,150,120,791,967,769,040,974,133,783,034,398,
419,391,772,600,448,362,213,773,173,440,691,111,872,483,801,064,142,114,269,
439,392,234,292,916,796,447,996,561,350,086,855,567,859,786,475,371,090,061,
161,978,149,636,866,396,100,773,479,845,141,135,345,172,370,289,579,712,102,
987,384,302,336,400,521,610,357,136,432,876,823,359,168,531,569,868,292,977,
351,655,111,428,131,948,842,910,231,876,206,486,315,742,065,591,814,027,811,
244,775,100,861,226,756,011,689,184,632,550,206,430,974,971,171,329,356,469,
106,275,283,546,720,741,788,580,036,855,135,506,429,220,120,440,829,497,933,
000,604,995,921,588,914,900,411,102,276,817,870,231,507,714,964,269,690,648,
195,991,793,473,998,232,301,442,318,593,908,376,058,152,576,393,582,331,901,
383,036,573,660,595,628,524,937,393,152,298,880,900,233,504,919,356,952,866,
804,709,408,075,519,798,246,685,560,276,721,332,446,390,448,609,354,299,293,
135,871,253,791,258,278,895,719,115,089,221,742,001,240,002,521,960,284,856,
868,550,021,895,976,808,556,917,352,420,518,913,361,451,915,446,506,021,034,
069,368,376,440,056,520,867,294,239,212,352,408,666,462,965,015,885,843,083,
806,382,107,466,391,400,401,834,270,299,114,434,327,318,091,949,145,602,457,
448,310,529,470,299,610,424,208,555,911,594,363,962,937,281,343,955,651,780,
237,222,625,820,227,022,352,098,822,003,145,889,476,498,672,976,748,094,919,
038,328,682,631,475,133,411,546,014,927,453,985,921,843,009,234,471,282,105,
828,390,623,879,500,598,394,522,878,221,845,257,452,720,586,976,896,740,695,
126,670,326,289,928,422,890,014,820,459,618,620,831,679,185,663,441,397,818,
321,705,378,882,097,687,762,683,455,527,036,629,779,412,263,131,592,372,239,
885,698,770,646,107,118,038,946,278,276,088,030,507,087,615,571,002,209,019,
540,361,985,246,605,112,007,417,994,029,439,232,052,798,306,846,391,577,832,
598,352,568,881,921,759,516,628,800,190,401,502,768,325,661,694,283,693,270,
475,621,261,350,661,108,059,603,889,725,388,279,266,207,536,483,856,928,332,
832,367,588,813,320,784,445,636,047,914,668,504,986,027,680,732,005,715,201,
334,229,354,781,022,247,586,720,640,856,356,682,756,845,474,085,685,354,268,
566,150,569,846,644,751,695,240,220,804,601,587,681,460,655,197,804,921,222,
685,009,211,570,529,224,313,868,406,291,340,690,957,330,386,557,738,206,130,
120,727,960,322,370,585,988,107,790,605,692,644,424,233,346,899,079,426,640,
714,259,244,107,306,624,630,004,643,055,157,647,137,971,167,027,342,032,469,
411,154,493,416,024,362,061,894,352,869,439,159,902,395,211,334,196,968,297,
694,776,080,594,696,584,595,075,146,116,438,451,574,588,727,601,996,718,047,
675,787,231,661,141,753,222,855,492,053,577,319,004,333,557,202,405,177,538,
668,529,774,108,040,195,926,427,331,928,028,057,751,963,047,796,400,404,033,
503,263,600,514,042,944,094,412,791,937,215,601,109,474,359,313,593,472,748,
935,087,004,291,618,499,918,368,076,320,939,510,403,000,727,983,951,875,003,
090,141,235,379,513,767,984,875,860,886,935,359,205,387,322,869,706,212,653,
397,441,743,110,500,660,432,511,741,415,609,093,661,913,302,118,634,260,703,
119,782,485,964,413,194,885,837,996,222,164,881,893,265,086,666,194,379,103,
685,706,295,113,659,057,645,647,383,418,743,188,123,989,237,623,258,086,095,
895,258,819,282,515,543,508,930,469,405,788,298,994,133,584,085,068,396,292,
286,480,288,364,713,403,600,395,903,790,668,697,638,872,569,168,251,990,194,
119,455,730,587,343,520,649,015,991,415,587,739,109,521,632,374,385,844,109,
207,542,680,573,066,602,354,352,968,937,611,632,150,470,457,177,764,598,943,
731,370,083,452,649,490,946,296,959,323,679,698,028,122,840,530,600,226,722,
469,779,097,929,797,838,895,962,663,840,693,195,411,051,400,136,242,127,329,
725,006,128,282,624,231,007,195,339,833,764,773,526,409,212,744,469,832,007,
438,759,312,856,388,993,397,432,420,021,176,505,945,349,526,931,737,886,814,
085,273,795,735,875,584,836,866,988,152,179,873,366,461,431,271,135,482,406,
671,160,606,043,391,913,777,311,557,589,828,718,768,685,052,522,162,634,749,
947,278,005,610,267,355,641,935,320,961,082,275,748,114,231,446,391,645,064,
066,060,443,674,655,093,183,641,063,342,061,712,454,251,346,059,478,100,812,
534,868,850,488,522,730,240,856,614,837,007,203,731,424,083,514,628,923,501,
588,736,037,000,430,774,140,131,755,304,501,735,734,936,054,495,936,016,967,
590,723,051,668,093,079,524,250,718,615,605,591,159,626,496,642,796,819,898,
513,743,291,196,293,551,453,705,574,877,313,963,905,929,686,333,432,139,418,
959,072,594,114,487,017,430,230,595,463,187,849,469,962,069,448,469,011,532,
344,875,650,579,775,121,468,976,553,550,664,325,791,314,698,609,236,780,787,
695,114,346,385,310,829,849,004,814,677,271,375,458,043,386,283,059,743,966,
766,330,564,680,040,406,229,443,665,251,258,766,033,372,910,348,582,892,839,
822,075,820,156,108,070,717,132,765,290,987,045,838,020,101,121,291,652,581,
190,598,691,144,629,943,415,897,701,293,152,137,113,326,050,785,829,468,287,
616,774,821,042,008,502,979,076,285,880,939,563,276,430,800,406,237,062,774,
195,414,974,063,898,853,623,688,920,531,163,322,063,957,936,131,769,535,061,
307,507,729,695,732,298,411,116,417,082,363,824,828,049,816,759,687,718,347,
366,134,694,545,140,593,988,196,287,506,550,192,055,245,225,436,580,768,482,
826,588,831,039,507,467,828,055,869,699,652,583,338,173,032,305,590,348,487,
979,189,828,186,294,616,933,575,879,924,782,708,789,650,850,499,517,463,607,
746,221,589,228,499,735,646,255,404,359,335,635,146,379,857,163,531,749,877,
964,034,471,161,337,457,071,346,993,253,460,809,995,984,035,260,293,088,365,
807,974,909,973,530,252,285,012,302,057,223,740,567,185,890,500,086,464,168,
354,289,548,594,914,858,917,629,261,220,587,969,640,218,295,065,835,699,352,
520,662,159,824,764,665,318,854,989,796,080,706,160,739,674,056,125,444,454,
355,458,964,321,397,222,749,099,824,614,774,867,490,809,852,537,606,592,130,
303,999,875,465,925,695,574,695,871,945,105,129,596,915,629,747,131,903,632,
433,704,848,079,882,625,742,149,314,790,237,429,956,223,277,058,073,058,466,
231,378,987,783,575,834,423,156,115,879,873,523,741,738,443,016,404,357,708,
373,631,988,611,346,469,152,198,499,589,424,192,025,320,876,191,684,541,417,
967,385,397,535,541,952,426,606,643,198,961,770,515,075,932,068,203,945,768,
030,034,921,001,593,406,627,230,960,162,180,289,833,524,849,987,634,977,374,
053,698,054,405,394,630,456,407,219,384,816,172,591,541,884,100,230,380,230,
667,945,006,590,184,229,338,392,213,457,567,282,289,578,193,160,141,206,203,
654,947,700,670,994,215,670,165,996,015,024,080,837,783,915,241,882,131,368,
175,771,514,605,938,661,209,595,756,479,633,179,476,978,497,599,404,471,930,
418,601,686,763,521,563,388,473,372,430,216,949,501,101,174,138,502,101,807,
188,593,678,527,982,801,358,695,205,928,363,634,733,362,031,693,896,778,442,
832,540,763,953,270,677,810,418,037,296,451,223,756,608,382,460,087,888,074,
530,512,238,640,724,347,920,368,042,914,009,548,243,475,432,110,336,121,771,
359,814,036,385,827,516,566,034,036,938,547,548,368,840,105,257,519,016,894,
804,737,661,751,330,385,072,068,765,957,988,226,388,358,762,012,587,519,379,
606,127,636,426,985,433,983,866,718,866,204,220,014,395,562,721,641,450,801,
111,941,748,090,972,681,164,860,896,060,649,121,869,792,247,445,144,209,428,
064,964,821,099,144,397,802,605,553,207,303,680,241,250,598,968,287,281,196,
021,579,227,881,619,314,187,370,313,895,464,719,456,247,060,268,320,434,435,
050,154,313,181,688,301,354,826,193,756,366,420,905,742,975,212,685,131,168,
915,032,984,318,799,581,461,306,680,569,139,359,479,056,243,986,250,091,230,
652,715,115,406,530,533,726,071,399,854,852,142,231,355,206,370,124,520,926,
358,578,831,727,379,569,898,350,606,972,852,949,930,730,582,329,533,145,108,
443,069,365,319,862,191,372,465,596,038,953,621,729,806,199,429,549,513,861,
482,103,236,789,779,663,784,966,122,461,812,762,639,435,715,702,960,356,260,
539,354,155,701,386,609,243,567,008,782,935,393,648,662,264,077,848,366,746,
149,895,458,308,734,537,286,168,899,835,598,618,116,095,236,113,325,313,435,
578,003,881,900,382,265,674,636,726,137,060,398,241,905,026,205,291,912,558,
047,747,529,901,232,218,329,747,707,272,127,542,966,709,745,653,084,491,029,
262,882,247,126,802,157,661,693,787,822,474,171,622,208,779,697,852,258,012,
671,281,741,797,542,518,721,415,398,111,056,502,268,740,032,709,692,992,662,
020,730,775,455,763,629,814,415,413,364,070,603,770,823,467,378,060,013,595,
537,155,618,762,470,355,093,808,993,261,225,999,098,687,657,540,501,560,419,
218,798,897,428,942,243,155,851,531,748,685,525,967,224,642,231,258,135,540,
849,643,198,518,924,899,696,626,282,873,285,484,801,967,647,254,976,502,323,
854,354,648,754,090,611,241,659,022,730,037,120,449,984,913,717,916,059,310,
855,914,282,202,160,569,828,835,534,244,015,113,361,556,824,178,918,878,769,
566,846,326,510,884,381,620,283,149,571,700,653,299,200,656,891,598,716,766,
659,036,590,218,566,537,672,502,232,742,539,665,190,539,063,331,542,232,852,
542,869,790,829,583,029,677,766,235,738,368,054,296,058,775,419,061,530,517,
342,578,027,548,678,230,471,590,315,372,078,029,787,524,342,250,099,816,604,
951,913,063,099,171,979,462,537,776,481,161,167,540,038,640,950,432,148,065,
724,945,486,598,528,987,721,648,424,168,731,432,912,531,741,304,271,441,834,
834,779,016,170,612,417,746,550,599,415,479,242,275,123,957,437,831,509,099,
587,342,670,026,865,926,966,644,104,461,190,146,150,315,756,693,555,291,682,
447,552,976,943,721,304,529,023,674,733,483,154,757,009,299,816,428,428,520,
331,647,159,143,580,100,886,099,200,724,021,514,495,755,919,418,890,145,506,
826,163,787,683,444,983,515,753,642,761,179,134,725,879,160,678,575,166,937,
132,683,123,781,187,980,174,105,707,386,668,389,662,231,918,401,892,810,005,
817,041,577,104,747,977,354,358,040,996,609,409,413,660,593,529,089,194,273,
793,223,403,391,438,608,437,119,740,000,410,090,916,619,568,582,902,916,102,
132,065,435,029,776,254,340,032,585,916,804,382,540,639,981,053,391,585,860,
041,409,976,720,748,712,117,946,949,371,875,879,442,189,698,326,527,186,011,
394,326,056,551,268,788,353,749,476,285,623,161,478,664,138,026,227,805,682,
340,455,525,736,967,193,860,946,651,695,548,440,170,286,426,722,906,004,101,
383,899,011,430,013,380,993,886,442,998,948,493,441,706,313,143,359,343,657,
608,840,577,910,089,384,537,428,253,326,552,710,799,961,912,689,746,631,877,
422,261,908,998,819,663,278,346,842,771,472,563,219,735,158,060,236,332,851,
551,472,279,313,742,808,640,681,629,602,373,810,048,141,336,440,592,441,420,
903,247,960,167,648,671,609,403,009,228,072,185,730,162,147,618,296,228,620,
680,664,197,008,959,966,325,130,561,517,183,017,221,070,880,800,926,725,386,
123,334,290,045,844,525,081,520,289,216,744,868,856,392,416,665,552,240,101,
569,563,925,423,226,566,563,076,760,424,935,184,272,107,053,179,784,157,831,
713,066,060,483,265,895,551,770,057,416,975,013,379,339,093,047,551,483,039,
819,841,628,348,479,587,760,160,586,026,940,429,865,121,722,312,901,280,249,
097,934,787,729,806,525,020,066,927,791,415,042,622,586,231,860,024,172,788,
336,868,824,033,663,095,524,400,399,577,062,297,765,282,181,045,826,773,808,
988,600,607,598,197,101,831,239,124,683,154,885,277,281,143,152,299,507,884,
081,243,872,730,095,752,941,467,105,481,464,028,448,491,508,430,977,426,128,
021,625,255,888,803,896,931,323,709,739,339,248,345,483,995,750,871,189,681,
868,103,530,798,754,853,089,764,639,675,473,604,572,514,303,292,574,433,406,
971,996,845,360,876,135,661,971,398,888,476,448,663,093,641,682,547,246,107,
787,089,113,450,042,066,676,869,685,785,286,960,303,800,514,010,656,265,238,
854,444,177,451,955,352,292,005,385,710,054,383,693,589,840,176,924,742,310,
600,492,367,370,691,340,775,540,806,508,609,057,195,687,694,742,217,371,486,
548,415,664,411,479,138,179,326,129,630,447,214,593,813,999,914,683,998,073,
470,077,125,503,504,376,090,638,758,876,828,607,047,405,249,082,298,864,854,
294,085,468,470,153,343,052,083,839,180,198,719,181,429,246,862,723,339,546,
208,640,648,594,236,521,914,688,642,675,747,570,231,894,142,834,126,222,030,
796,993,241,819,853,307,504,045,032,662,869,498,874,516,226,382,147,397,526,
594,253,670,769,368,980,455,013,916,188,231,487,902,096,964,907,876,156,231,
477,370,947,475,720,503,028,999,237,696,533,983,551,739,368,474,261,428,116,
885,818,666,916,176,272,109,133,199,279,934,883,147,256,794,531,258,773,891,
985,083,928,994,152,857,214,767,569,179,892,969,293,181,615,888,827,133,436,
746,896,923,003,268,907,389,254,512,810,711,091,210,341,774,263,445,724,969,
806,746,566,516,750,583,083,858,686,875,390,885,443,445,706,686,714,441,477,
794,620,688,290,187,160,991,422,258,207,654,243,754,223,280,582,339,640,436,
753,734,367,383,060,183,985,369,616,394,076,784,922,875,571,475,076,473,108,
327,577,856,940,206,031,375,648,458,515,949,161,612,533,000,299,037,621,182,
968,866,409,134,879,945,238,860,977,300,771,396,491,811,869,213,287,722,368,
619,050,882,904,832,308,171,740,161,735,276,117,480,700,907,019,600,084,787,
931,795,393,721,476,868,822,843,566,376,362,814,113,591,998,039,870,619,495,
073,207,511,750,782,224,598,298,192,268,071,066,372,522,103,941,386,213,445,
022,576,408,299,281,458,360,832,116,276,836,395,018,566,044,492,223,953,028,
375,532,902,349,374,991,679,898,186,888,137,714,268,535,503,516,644,949,717,
009,280,474,869,863,386,416,922,149,147,219,863,643,100,372,047,023,890,345,
207,357,037,321,376,451,160,023,832,914,652,853,694,006,921,895,998,475,026,
821,250,728,488,050,832,318,248,209,474,835,009,937,334,356,896,679,381,759,
614,582,020,205,998,809,552,881,493,640,362,981,138,251,577,534,618,887,128,
739,974,272,166,869,473,447,875,463,785,899,628,398,365,077,197,086,521,465,
675,960,824,112,882,353,443,731,605,413,247,544,615,351,330,008,015,215,014,
132,469,204,381,941,118,878,135,254,348,716,720,808,020,231,168,322,432,901,
626,454,061,684,584,054,309,695,723,692,563,537,326,857,103,599,320,107,946,
238,173,390,213,083,458,316,521,213,975,598,213,882,901,851,468,901,697,601,
866,993,410,085,714,243,358,598,390,480,834,131,436,846,315,478,919,912,677,
089,396,731,777,670,283,280,185,028,589,384,142,808,078,882,800,145,905,623,
077,750,751,544,964,535,144,595,801,804,197,460,102,581,825,645,719,537,165,
442,409,484,418,232,570,950,597,891,726,917,111,789,186,061,548,250,755,988,
662,046,715,720,706,097,587,010,233,618,229,561,876,969,654,647,400,102,480,
472,275,243,961,184,241,059,179,188,303,192,051,444,278,765,421,626,961,151,
803,230,746,242,371,305,498,083,593,702,682,327,024,410,813,716,102,443,574,
773,697,416,576,776,380,573,438,671,944,459,367,286,728,991,630,784,821,584,
168,716,570,798,781,629,176,281,956,002,104,147,654,724,088,722,017,412,498,
642,770,112,369,212,027,645,213,130,238,037,157,637,289,070,651,984,585,554,
732,844,490,663,851,299,450,732,119,905,650,453,981,564,749,652,211,319,134,
717,566,503,546,474,102,760,980,006,207,930,428,455,149,558,954,612,118,441,
067,980,104,622,658,015,637,018,187,871,702,474,992,679,756,306,738,851,336,
557,673,874,363,777,122,441,721,619,594,974,508,634,566,753,626,007,615,810,
850,316,087,121,471,242,457,173,005,331,350,141,347,985,180,765,092,082,811,
970,352,246,798,504,366,556,984,735,075,903,417,214,963,366,593,329,903,443,
021,248,626,438,617,665,279,053,120,920,764,563,261,374,469,147,942,532,841,
473,050,798,765,262,504,000,862,314,949,362,603,503,246,995,562,537,303,835,
785,467,868,745,683,403,919,767,769,146,024,574,039,530,079,142,142,949,704,
770,349,839,202,129,571,214,917,057,397,740,782,475,183,523,673,518,958,554,
490,546,380,033,914,697,542,217,105,718,120,363,882,366,388,626,308,508,545,
977,507,179,855,757,078,089,262,718,971,939,728,176,017,967,504,966,895,525,
491,056,575,856,070,475,524,591,745,150,312,944,148,798,204,975,399,666,236,
620,280,371,077,060,987,955,302,629,847,731,967,501,652,015,604,445,636,908,
621,473,852,823,841,343,747,774,171,419,967,502,461,189,045,976,018,770,058,
193,631,250,044,082,932,334,549,434,757,769,007,258,130,633,033,467,589,173,
592,311,087,366,956,196,277,564,853,618,430,902,771,386,190,279,336,609,023,
412,524,682,154,775,375,945,371,808,585,456,002,639,728,842,983,960,853,782,
691,717,174,834,721,738,260,239,025,591,342,070,046,568,358,221,210,480,164,
139,818,099,817,081,978,255,688,585,988,239,306,614,771,090,549,022,031,276,
128,511,282,940,395,245,723,121,828,123,273,248,226,432,533,993,748,308,059,
367,716,268,955,421,699,317,532,029,470,109,830,931,633,203,487,102,707,600,
448,599,398,509,783,823,691,503,374,004,497,537,158,692,669,743,669,067,206,
993,561,116,070,045,395,688,944,270,225,843,119,560,192,522,518,063,299,982,
979,486,932,416,248,379,314,537,563,330,845,416,416,403,328,531,713,305,359,
031,656,182,449,438,065,449,649,584,510,935,515,450,386,152,013,401,148,762,
146,727,017,888,024,008,795,398,359,554,232,680,802,316,985,151,825,305,522,
295,796,031,312,326,825,286,325,734,215,978,470,653,667,054,638,435,807,339,
329,587,876,480,384,301,988,675,376,527,394,124,876,585,597,510,417,210,223,
995,772,908,878,380,121,144,984,670,221,231,035,811,364,250,671,663,112,196,
629,260,784,348,440,763,094,637,904,220,815,751,180,905,024,802,235,778,725,
329,769,386,066,607,174,672,794,908,335,030,979,732,426,324,588,425,800,559,
256,369,641,920,836,174,443,577,120,701,347,170,721,226,227,908,840,338,095,
448,483,486,222,221,797,368,057,783,748,993,069,031,965,565,645,000,714,004,
001,227,627,916,014,506,110,426,050,074,619,062,385,579,536,196,289,612,484,
573,540,083,264,175,001,718,212,850,546,478,552,495,359,008,174,023,712,557,
282,507,006,414,974,460,668,113,524,041,836,642,379,579,305,275,102,457,092,
485,564,255,948,319,277,034,753,125,655,483,726,222,009,218,610,244,314,369,
521,036,179,847,952,076,122,278,866,733,962,573,653,988,183,198,068,457,396,
763,343,654,348,947,069,661,561,144,390,010,227,200,686,199,083,864,952,259,
341,514,160,187,911,493,644,186,765,751,410,118,565,144,457,982,494,565,843,
372,533,380,611,752,764,780,465,198,313,883,988,093,606,391,179,817,510,361,
385,957,938,406,157,408,052,734,882,361,812,613,454,952,187,720,351,226,305,
554,020,649,295,146,879,272,104,184,320,615,526,343,627,889,126,620,594,832,
173,047,249,178,221,581,605,100,090,371,203,075,385,291,565,255,770,979,161,
980,329,759,574,824,717,402,871,697,853,232,803,945,853,964,892,792,826,652,
936,518,311,498,262,576,566,086,264,902,633,500,454,362,453,496,668,251,138,
875,056,381,311,380,840,224,068,073,897,142,639,680,632,004,024,982,914,169,
059,587,223,102,447,303,210,482,975,142,078,395,592,957,010,006,739,167,741,
573,141,870,965,171,156,620,217,451,869,146,491,389,654,526,721,935,763,775,
537,437,384,344,875,215,444,597,586,130,612,489,210,659,797,748,832,761,875,
392,984,157,435,865,034,941,693,247,104,994,917,733,757,412,550,342,428,352,
777,224,131,494,347,545,603,794,189,993,548,113,905,915,280,809,134,553,582,
478,062,561,893,708,144,553,875,036,301,498,662,943,877,168,800,151,589,655,
947,234,881,666,004,937,589,932,713,758,566,579,675,770,298,968,756,008,236,
210,899,721,727,704,163,146,151,052,864,387,044,222,166,356,932,660,085,628,
243,951,858,439,102,828,328,942,832,515,297,268,222,785,514,116,355,968,838,
266,502,152,288,488,790,266,808,829,729,002,734,366,147,805,664,975,131,161,
341,904,401,037,871,919,779,986,740,538,912,922,819,247,464,598,616,627,692,
576,149,060,065,026,621,998,210,501,685,475,164,515,794,220,732,871,547,892,
495,580,717,244,581,925,970,462,780,674,822,368,714,618,866,674,988,290,694,
084,505,841,860,643,113,642,110,414,633,834,830,863,426,254,685,999,771,731,
211,646,936,737,571,469,223,772,813,664,632,551,620,365,176,392,001,417,725,
759,704,167,917,357,691,304,429,551,589,241,891,033,495,429,188,864,871,381,
042,921,904,009,865,852,222,543,958,588,268,535,094,864,996,360,212,226,160,
033,200,313,446,846,289,782,075,313,371,324,497,223,204,697,069,533,692,844,
239,343,375,172,200,951,005,060,756,133,356,033,768,785,011,025,608,585,087,
638,724,910,741,272,542,803,623,333,023,853,864,427,678,788,297,856,544,803,
423,964,175,998,685,129,736,823,883,971,670,044,859,383,857,801,065,735,915,
782,039,906,539,677,115,241,810,968,812,555,182,497,039,265,277,105,275,516,
992,414,028,048,931,751,444,179,516,156,594,058,001,891,318,088,162,210,884,
513,120,334,316,170,944,013,717,259,757,230,122,232,563,798,567,900,077,511,
402,696,415,178,922,690,936,731,608,797,896,830,090,603,132,145,554,860,782,
117,288,674,568,380,731,021,428,272,852,388,265,928,437,933,175,939,961,458,
901,147,377,309,824,033,764,108,211,482,991,260,034,749,346,828,426,401,674,
501,731,356,019,542,706,927,821,144,349,135,070,884,933,140,127,088,384,726,
938,066,735,814,601,537,456,064,202,230,918,182,679,448,911,209,683,148,606,
941,953,485,489,449,225,936,657,666,521,924,521,998,439,502,138,241,965,953,
022,873,109,317,649,744,720,646,200,094,915,887,963,738,800,452,307,519,461,
873,044,555,535,133,779,787,766,610,607,989,375,473,002,252,047,984,420,907,
188,984,438,491,382,086,488,326,619,842,999,762,898,072,779,073,675,578,251,
105,741,326,849,492,399,157,781,987,979,681,733,300,707,213,326,478,075,731,
919,199,283,898,267,959,524,058,463,800,303,924,695,424,107,927,267,059,304,
479,737,129,759,554,926,939,721,523,168,075,379,807,582,497,001,685,018,476,
907,647,672,764,913,739,018,533,936,766,510,070,445,081,632,225,396,750,957,
202,069,562,614,714,216,192,359,790,945,367,185,980,303,224,325,404,066,343,
492,095,011,813,882,537,367,585,538,581,415,668,583,601,762,716,553,792,305,
286,627,794,577,493,656,912,791,836,354,897,729,388,926,101,667,910,624,344,
874,629,182,876,543,987,696,595,717,504,135,606,712,841,974,628,030,219,060,
559,230,860,104,625,024,807,276,103,455,521,667,411,394,399,635,455,666,916,
109,011,871,285,907,639,588,226,212,216,743,944,137,304,713,120,142,198,307,
798,602,680,876,763,732,330,445,096,046,617,297,117,928,723,829,455,805,273,
635,199,333,118,609,466,817,867,224,355,915,043,465,099,111,776,001,023,861,
496,157,890,180,396,522,065,317,200,169,556,652,352,299,524,626,737,281,857,
063,487,545,928,958,390,776,064,850,567,968,606,438,502,275,802,535,046,007,
287,648,986,500,797,723,897,550,050,875,599,997,631,414,940,126,094,272,882,
710,123,082,283,013,371,076,802,396,944,719,283,267,044,461,034,118,760,182,
675,367,009,811,994,020,004,834,930,037,655,242,706,252,188,379,397,764,941,
682,047,747,316,052,790,620,312,567,508,574,511,609,755,068,391,589,382,015,
019,697,614,215,496,319,992,275,809,834,035,282,757,588,819,297,508,388,009,
783,882,772,897,376,084,638,126,647,280,800,052,550,415,344,645,261,881,398,
487,058,132,687,707,482,098,265,632,925,880,349,397,377,775,749,672,858,838,
879,608,347,176,701,500,803,789,619,250,726,389,504,191,059,691,574,212,405,
433,807,033,320,378,694,067,003,695,017,380,587,110,783,762,399,759,066,406,
379,208,045,210,642,597,388,715,837,863,340,565,189,538,184,571,562,268,767,
525,916,742,305,082,516,972,538,158,265,557,068,316,015,941,669,326,003,454,
356,447,359,436,195,377,670,368,701,600,730,018,949,372,686,722,502,517,227,
631,869,376,878,887,170,176,498,613,163,293,968,021,695,914,008,483,873,871,
344,885,913,885,666,152,384,711,090,303,424,462,671,576,306,440,321,875,962,
109,056,400,175,045,978,670,020,684,525,140,423,527,191,443,886,265,567,600,
804,090,997,710,297,625,786,620,063,671,002,102,516,752,351,760,892,571,356,
933,792,294,434,841,639,505,182,809,194,396,381,464,729,589,485,664,110,329,
203,575,940,321,302,420,684,434,771,197,989,159,150,442,506,511,073,781,764,
312,635,343,592,190,044,803,819,230,716,501,567,731,215,602,390,934,423,152,
924,686,545,531,746,378,154,205,990,101,161,607,598,958,928,938,433,534,186,
065,379,069,939,487,297,341,564,014,139,204,758,447,433,689,340,805,650,531,
696,809,793,900,963,559,155,024,570,890,150,840,700,013,855,875,989,372,358,
253,223,368,078,259,091,836,814,702,331,682,601,398,424,378,080,115,804,727,
599,241,134,620,462,062,786,523,600,708,259,438,886,123,624,418,205,849,723,
498,345,710,913,950,748,061,586,373,045,424,989,539,732,945,521,106,885,577,
884,774,721,245,910,828,105,179,205,209,442,133,901,909,650,205,273,741,403,
299,777,298,859,733,826,596,944,102,404,182,512,813,182,212,305,542,896,655,
832,898,540,103,826,327,829,042,794,288,813,924,593,388,802,781,216,526,825,
994,864,941,678,567,029,658,494,683,380,754,877,850,380,331,056,695,157,740,
913,080,927,286,603,628,784,456,286,363,835,570,583,978,527,687,521,794,707,
962,918,536,179,962,623,843,316,840,825,897,739,645,730,062,058,518,186,517,
020,165,346,679,611,705,246,648,111,250,953,121,511,151,174,631,840,920,563,
955,365,592,393,178,692,240,963,068,742,687,394,177,211,157,275,250,430,070,
997,128,823,602,836,020,578,529,361,829,291,408,418,767,776,817,452,991,693,
399,109,887,126,024,042,149,353,136,448,266,179,791,076,385,575,069,832,536,
792,666,239,750,366,795,581,358,460,794,959,572,839,266,230,605,761,336,930,
551,332,245,538,180,341,433,600,121,839,457,317,318,203,945,487,895,804,965,
142,020,312,122,361,026,419,687,461,850,850,660,324,980,532,215,885,509,740,
599,949,740,640,725,081,937,591,569,032,365,885,071,734,473,423,904,137,730,
470,731,944,882,375,322,044,951,105,200,062,202,074,964,111,922,662,515,725,
726,903,041,586,538,235,730,815,356,797,648,375,060,442,971,446,139,367,485,
678,039,961,543,253,090,815,490,292,608,839,901,348,865,572,755,015,552,654,
355,963,933,290,703,332,594,273,897,457,823,681,994,410,543,854,485,476,100,
132,134,427,835,556,110,212,304,640,305,395,980,687,357,656,530,432,896,152,
214,437,358,090,982,848,764,996,321,139,301,747,931,229,840,937,904,211,313,
476,581,442,782,621,556,952,473,718,021,599,944,271,393,007,406,069,248,272,
107,249,617,932,182,348,173,337,878,575,133,817,374,865,284,218,546,532,791,
405,452,446,711,137,040,952,120,137,589,587,613,790,630,657,075,523,275,330,
922,942,190,387,279,058,374,019,378,319,110,573,807,308,769,158,298,287,113,
546,885,359,078,243,054,356,333,805,702,281,345,314,271,356,342,895,548,210,
447,311,389,997,016,192,881,469,821,223,643,699,799,801,158,105,959,557,450,
947,379,042,019,308,116,311,212,619,724,191,714,737,720,282,116,192,597,705,
717,518,191,267,417,867,816,044,303,665,116,687,929,829,424,284,199,286,592,
659,404,835,514,997,613,089,173,895,057,636,554,890,022,875,401,610,398,635,
291,711,297,206,204,157,149,792,783,093,816,249,009,268,137,481,477,793,783,
115,035,977,506,353,321,754,013,360,829,285,982,954,374,276,855,939,219,196,
653,672,851,379,857,589,773,975,099,946,051,373,231,784,363,615,301,268,187,
223,810,244,704,882,845,352,951,025,566,165,701,141,671,744,914,775,227,775,
041,396,437,427,943,037,168,055,120,954,914,933,965,588,501,963,258,912,224,
203,994,170,135,620,393,258,066,961,668,079,722,965,497,866,670,706,127,900,
689,218,321,924,642,486,700,809,420,033,423,085,321,027,565,791,474,150,889,
837,069,914,402,473,470,756,493,265,786,455,404,459,050,828,112,045,137,807,
548,547,225,205,755,609,317,935,583,368,204,587,875,597,993,532,004,574,237,
692,076,292,105,111,257,416,791,468,318,698,914,587,266,790,114,467,389,667,
897,628,027,270,154,891,108,658,901,969,781,305,447,616,375,914,876,872,403,
960,329,980,534,727,147,472,950,426,108,030,053,105,105,479,720,605,674,280,
823,807,493,222,171,078,287,337,453,247,898,499,619,905,502,474,951,576,897,
843,943,625,712,215,072,958,267,891,990,738,898,559,180,747,516,183,894,038,
599,634,688,087,984,411,306,983,086,836,843,571,137,108,570,115,778,818,484,
071,289,499,768,934,658,718,236,579,481,534,614,848,438,369,025,229,084,619,
542,310,936,120,229,111,280,422,387,105,335,960,700,328,078,836,626,660,998,
513,581,275,361,129,084,829,982,591,916,163,203,456,374,372,053,091,121,192,
904,663,999,196,426,946,650,202,455,761,771,127,643,382,669,182,512,215,240,
202,135,375,080,890,573,710,809,302,375,884,689,276,966,845,873,168,782,748,
744,017,153,147,291,019,821,857,850,151,829,681,452,721,496,958,077,504,030,
700,213,491,639,804,920,617,425,482,895,291,030,580,865,240,732,801,690,578,
405,461,613,008,272,818,526,421,624,139,052,968,307,314,874,478,737,666,596,
795,313,147,485,807,419,205,658,912,979,348,204,602,209,509,926,727,905,131,
483,886,275,334,604,688,378,693,618,145,207,393,082,311,151,290,800,149,577,
768,106,963,401,675,446,687,733,258,267,707,664,993,882,288,685,334,563,079,
917,731,263,064,354,670,896,006,346,856,834,806,988,754,303,518,301,627,876,
016,314,035,493,999,608,369,627,894,842,586,536,769,663,333,673,279,406,794,
893,629,873,503,178,663,230,805,362,565,868,808,499,442,772,057,461,842,800,
822,297,413,383,463,337,401,533,657,241,125,006,034,325,858,665,245,221,587,
096,232,165,534,694,287,551,722,583,039,422,801,304,365,360,709,421,587,913,
642,602,494,660,547,405,496,587,548,732,981,395,754,306,609,822,176,198,192,
110,018,255,417,301,848,806,586,470,461,645,265,092,719,742,589,535,635,974,
105,575,395,508,346,112,304,169,646,399,610,740,049,624,715,163,021,841,912,
664,679,084,775,253,188,097,164,251,237,832,203,136,531,447,426,882,205,182,
064,312,543,425,481,054,467,022,471,581,088,438,197,825,086,190,081,430,736,
038,877,530,408,938,549,347,276,664,378,165,924,749,491,416,217,661,377,379,
605,050,765,377,784,894,880,016,695,951,416,476,451,874,058,972,017,210,692,
053,158,473,213,849,653,266,103,456,531,428,343,959,350,648,825,425,755,956,
561,713,663,495,585,143,182,643,449,165,841,405,062,628,347,015,561,867,873,
708,312,976,761,139,442,405,061,356,154,995,520,779,153,560,533,736,397,090,
959,213,633,372,951,451,250,586,183,354,161,370,828,520,592,489,418,658,055,
278,260,610,967,702,554,138,762,024,368,506,932,493,248,094,482,484,137,123,
540,940,963,982,160,152,729,212,533,024,574,195,579,563,023,465,359,864,707,
706,776,290,853,854,059,683,678,599,466,558,496,753,720,768,322,265,399,038,
894,663,327,752,781,041,767,076,992,443,568,495,726,847,580,174,785,186,584,
122,314,094,144,471,698,270,989,085,617,754,572,970,594,558,784,965,302,527,
155,696,024,171,958,195,362,987,310,218,279,566,476,460,327,844,620,752,126,
055,536,544,245,002,550,928,981,108,884,212,440,037,953,303,594,535,450,855,
960,910,897,837,826,087,090,895,538,697,478,654,963,065,832,342,715,498,303,
688,528,612,581,281,852,488,082,071,314,954,419,600,165,252,833,598,369,252,
455,415,811,850,453,963,995,508,844,287,618,604,094,959,416,794,554,235,262,
656,658,192,001,698,639,472,842,065,385,600,132,009,662,342,920,367,562,853,
511,185,330,102,997,853,353,139,520,625,159,685,092,485,046,747,069,196,012,
667,562,723,935,415,324,559,954,452,563,750,303,390,462,489,314,764,065,150,
958,655,271,764,348,328,907,142,819,859,261,391,101,499,774,634,128,563,736,
013,182,657,607,354,671,445,544,707,580,593,277,656,276,411,734,857,802,713,
782,413,422,606,874,264,521,931,362,505,929,843,579,339,131,866,349,484,334,
194,274,615,108,969,073,606,970,869,495,629,649,031,964,114,445,527,399,413,
555,042,270,615,625,740,895,757,552,428,323,803,211,133,672,011,702,451,463,
962,247,834,397,268,154,517,366,267,577,935,581,271,528,761,703,726,567,441,
602,816,774,430,083,421,955,047,991,913,330,448,506,861,756,039,604,264,396,
354,469,114,499,830,278,995,965,088,968,370,264,978,599,400,625,788,255,599,
909,019,284,809,533,357,049,310,771,199,083,478,476,453,896,444,154,752,311,
079,900,084,614,324,955,510,233,762,955,029,408,155,845,817,581,750,277,802,
430,142,732,188,233,257,058,983,428,427,503,267,101,974,321,170,140,686,683,
320,643,278,565,440,112,820,577,143,397,116,295,457,280,521,356,333,070,258,
660,695,509,427,474,084,842,412,610,085,255,229,631,589,949,062,541,321,205,
296,537,880,392,615,102,657,716,137,277,720,309,865,525,519,918,304,717,470,
503,312,539,091,899,794,590,846,169,614,410,007,832,903,777,489,692,300,580,
305,195,329,131,514,878,248,315,172,356,697,511,043,524,308,906,959,175,623,
031,612,247,737,697,179,141,862,891,016,209,581,323,863,320,141,615,220,596,
854,036,715,919,680,298,545,432,773,229,027,737,048,933,578,805,048,004,155,
726,798,575,423,096,506,178,514,213,077,510,435,106,389,477,123,985,630,520,
373,986,084,111,301,969,955,204,643,779,766,700,747,822,886,260,247,119,961,
127,718,563,059,152,079,279,680,507,937,454,994,036,338,163,983,926,168,225,
989,378,483,160,590,444,929,891,997,663,459,240,618,210,384,194,423,627,729,
053,765,081,660,474,273,303,348,857,427,646,567,443,966,588,423,957,123,421,
358,070,126,059,230,845,568,842,622,987,237,449,940,225,155,833,907,799,522,
359,551,811,131,503,427,010,253,599,497,388,109,169,099,829,394,079,080,855,
596,007,250,331,251,789,242,254,774,010,742,015,138,673,621,340,793,097,455,
792,426,394,108,162,263,926,302,301,119,246,343,295,814,651,737,592,225,203,
700,120,590,488,654,711,217,636,407,139,903,824,328,363,122,272,539,327,911,
084,434,438,791,279,531,846,762,775,375,022,688,383,374,152,615,485,592,431,
152,768,489,702,745,841,887,154,066,449,643,133,351,606,260,672,388,035,651,
972,072,072,372,335,318,963,937,544,090,171,830,988,880,523,307,637,256,789,
873,036,446,644,167,596,413,846,776,421,858,417,494,300,053,861,067,627,290,
265,816,888,093,294,330,735,473,299,871,241,301,843,044,018,814,325,499,614,
336,286,358,704,861,651,616,026,970,425,574,474,483,372,101,341,512,693,339,
337,949,725,414,168,907,059,471,141,193,714,752,027,939,622,470,347,712,126,
295,413,806,307,463,919,810,197,879,578,642,810,828,745,836,387,880,597,606,
299,003,193,748,582,406,259,303,472,634,082,475,677,634,600,778,190,217,595,
752,014,873,526,780,412,471,773,589,847,950,141,467,079,029,769,640,762,438,
253,849,379,106,158,319,827,559,050,244,381,941,339,059,502,388,920,778,185,
465,395,888,161,434,106,383,840,567,989,593,371,945,782,759,473,446,265,540,
224,100,434,978,115,251,903,706,706,663,386,010,566,218,005,251,604,806,577,
293,025,309,869,074,891,072,115,328,828,558,024,591,743,195,019,329,403,551,
191,660,018,780,232,949,457,833,272,721,980,345,131,275,142,566,720,900,031,
484,307,457,713,661,323,396,704,163,524,587,409,230,930,676,552,348,130,407,
732,324,925,486,931,512,891,523,276,828,773,106,967,400,850,689,281,333,472,
077,519,139,569,820,202,839,789,492,742,349,174,126,812,776,564,927,599,626,
548,335,245,212,596,905,243,756,816,948,212,032,381,291,300,456,048,606,906,
326,325,371,846,424,590,349,478,795,475,625,319,611,714,523,109,587,060,590,
442,743,343,470,239,660,186,719,566,897,480,825,018,343,998,677,432,206,399,
457,942,140,048,877,445,152,213,788,195,457,581,082,044,698,860,435,948,630,
490,182,342,139,972,757,065,326,623,854,065,114,801,952,765,681,882,831,590,
891,425,280,223,419,004,845,218,488,326,119,516,033,730,303,225,615,752,813,
451,456,958,250,148,064,417,440,840,697,025,439,651,041,045,309,553,620,676,
091,435,567,935,329,583,649,765,008,630,553,852,485,160,161,305,638,551,016,
872,231,796,929,470,872,879,453,746,544,529,066,123,078,041,873,707,713,047,
639,788,885,396,946,883,442,144,345,110,801,047,150,153,835,934,775,882,756,
277,850,408,888,881,832,787,095,012,096,673,524,171,564,432,771,968,768,466,
940,899,442,692,287,884,461,821,130,180,086,829,489,036,177,463,573,422,245,
251,828,853,310,980,076,420,496,244,383,425,794,058,433,487,256,808,599,946,
786,089,430,005,696,673,983,092,936,136,279,743,946,470,054,369,549,461,815,
449,475,412,980,375,931,445,886,864,324,922,261,109,691,655,248,040,968,823,
709,089,595,864,120,283,319,963,376,713,904,107,046,276,173,365,752,420,884,
442,206,489,329,250,304,035,609,965,101,685,058,178,754,097,774,572,505,649,
213,935,319,679,115,310,492,249,435,550,670,718,264,742,630,685,516,969,227,
255,888,207,479,604,329,386,539,614,665,194,426,518,805,906,030,232,009,459,
447,506,284,944,109,237,619,652,320,081,030,900,994,532,384,051,167,970,809,
897,297,320,797,266,417,960,005,604,616,879,469,954,763,882,817,503,975,649,
520,203,408,781,342,081,232,955,221,884,762,601,503,435,797,654,149,638,833,
740,439,277,079,194,771,396,131,953,675,116,969,132,227,113,079,596,071,421,
310,262,867,851,127,662,250,795,697,283,418,377,467,508,526,103,399,796,412,
514,413,153,816,860,119,847,468,217,228,417,769,455,436,916,735,186,920,625,
567,005,064,939,462,383,053,022,627,961,295,303,094,971,870,410,603,782,429,
634,558,723,777,073,135,977,311,564,499,098,306,960,022,768,354,133,169,277,
256,346,150,547,766,983,661,007,766,060,294,945,324,454,532,704,688,549,492,
055,930,719,828,217,550,658,342,929,724,788,887,182,772,691,752,030,405,548,
781,097,058,845,748,242,518,307,522,680,854,641,385,247,038,019,666,991,272,
118,523,264,540,369,191,682,976,821,909,852,086,829,728,447,428,033,528,132,
349,043,324,906,797,416,474,536,901,374,972,555,225,906,818,379,047,052,253,
986,752,181,221,179,635,549,557,880,444,966,263,216,993,888,356,181,431,401,
445,824,574,679,255,571,988,434,557,329,605,851,878,222,416,200,957,844,133,
456,762,500,393,881,435,674,466,088,726,641,832,339,643,248,256,139,281,667,
662,086,091,887,583,479,958,884,635,886,838,467,821,713,215,465,304,504,440,
928,320,546,006,848,213,119,407,166,212,112,229,783,862,179,335,618,067,803,
494,621,211,994,639,126,618,352,593,487,292,819,985,464,503,374,937,528,165,
873,114,961,364,559,149,708,151,778,331,840,601,332,543,290,333,826,543,564,
466,114,082,454,924,549,500,167,195,741,668,552,574,190,334,814,919,159,766,
133,877,414,152,682,831,066,884,282,049,969,104,786,900,026,131,763,097,419,
881,798,299,893,931,196,694,495,014,091,696,376,946,661,980,516,928,065,243,
836,973,541,337,877,139,418,065,041,972,943,768,387,706,439,403,814,643,300,
602,686,871,040,359,749,852,584,328,257,269,915,994,025,326,460,307,785,251,
792,546,463,946,981,899,083,087,576,618,905,306,933,885,072,346,487,178,210,
825,612,013,038,856,099,376,534,633,470,095,314,423,066,241,066,879,406,173,
059,799,968,174,451,174,599,035,228,667,772,831,046,194,396,196,585,440,021,
929,756,578,486,701,216,060,659,327,240,874,544,349,398,667,959,616,553,811,
230,703,962,165,466,478,613,689,130,679,779,167,967,248,087,267,178,322,450,
828,825,061,691,200,882,415,344,738,566,335,868,644,336,509,773,179,430,972,
539,440,123,932,113,462,106,562,874,089,538,298,769,729,271,278,907,916,835,
914,582,029,937,964,482,901,713,656,513,882,604,421,568,840,662,097,941,690,
765,466,209,079,609,884,235,610,805,707,673,358,347,821,026,461,598,451,946,
413,898,157,339,366,647,503,441,934,284,164,255,030,363,565,980,045,361,836,
861,738,118,358,920,870,556,024,825,291,620,976,312,805,498,582,904,508,015,
344,800,946,366,540,768,428,830,448,399,365,631,362,921,779,437,681,855,362,
411,309,132,103,259,769,926,536,133,977,255,472,816,417,226,666,473,356,432,
900,336,809,379,840,049,219,088,343,380,405,186,254,609,326,521,765,916,828,
270,964,540,654,150,391,771,143,002,906,901,051,289,814,000,297,771,273,883,
092,828,479,517,385,957,405,073,070,128,752,007,304,275,371,180,662,322,783,
159,412,936,905,498,231,220,461,065,828,096,008,932,708,580,786,256,625,959,
438,580,098,206,505,174,060,849,664,077,550,418,844,492,138,863,989,496,978,
385,170,764,122,452,487,777,743,661,820,419,854,175,833,874,796,765,981,136,
074,785,567,754,030,867,075,989,180,733,900,855,063,040,923,989,081,270,306,
934,350,032,107,233,438,380,342,000,054,733,555,589,217,706,832,435,306,801,
081,112,845,387,884,343,878,095,355,516,095,287,917,349,226,497,706,248,669,
700,676,804,329,599,448,986,463,988,299,812,036,701,009,855,158,209,003,363,
394,376,343,398,714,233,348,192,241,267,802,074,967,819,025,454,030,244,901,
279,028,439,838,523,638,382,966,401,292,196,331,309,845,927,107,959,209,433,
593,163,476,664,424,856,915,338,713,804,405,777,219,355,970,277,803,607,856,
392,636,058,457,421,613,797,252,209,974,538,700,640,169,413,918,906,939,188,
076,625,531,732,629,512,756,391,106,763,134,923,688,324,527,814,074,271,124,
028,283,807,042,144,300,471,876,148,079,307,085,344,402,257,398,283,618,422,
527,376,973,025,443,155,341,837,149,116,075,206,508,782,370,211,627,509,373,
955,243,093,823,973,449,340,461,437,908,235,211,448,480,721,257,468,913,991,
958,131,412,429,581,968,197,337,724,542,723,112,282,618,522,200,102,985,434,
523,699,440,811,435,678,009,935,168,368,089,942,996,106,288,861,086,648,931,
210,446,586,609,606,201,777,225,606,251,195,352,334,696,744,311,736,793,009,
689,529,956,156,115,910,046,062,478,191,956,451,178,099,374,634,316,369,904,
270,912,952,310,362,068,295,514,869,462,472,163,133,313,627,661,333,909,541,
382,661,361,409,584,566,666,510,558,413,218,560,189,916,853,600,903,523,073,
671,902,179,263,633,651,244,787,722,452,520,183,641,668,603,429,935,286,920,
468,655,305,021,260,394,219,349,876,649,908,187,653,824,592,762,021,036,232,
704,651,972,842,077,287,479,826,314,655,540,646,164,533,336,909,261,156,879,
461,929,464,205,283,945,364,464,216,886,412,877,631,439,852,189,448,035,623,
793,333,290,962,476,819,407,479,752,808,333,468,971,353,378,193,272,166,709,
337,202,168,799,342,248,990,112,567,540,153,070,994,855,476,879,079,457,549,
600,742,773,388,892,295,120,819,143,094,379,155,789,052,889,672,360,121,279,
091,959,608,034,962,281,492,102,261,196,120,261,310,698,666,170,591,415,775,
059,178,834,160,395,861,840,379,623,961,265,267,442,835,686,142,171,588,501,
488,875,487,396,213,617,043,238,429,126,145,025,765,378,943,609,602,012,915,
572,364,856,694,034,397,200,933,495,725,860,630,548,605,795,912,536,772,553,
983,980,637,145,906,870,307,955,389,765,983,777,095,028,762,783,325,418,895,
115,467,268,715,488,628,741,527,736,225,314,039,380,975,827,399,271,469,997,
693,458,570,336,332,972,212,005,538,345,928,842,706,421,557,145,278,454,349,
335,003,486,379,431,022,586,227,168,428,515,060,401,706,608,600,125,208,202,
706,759,322,160,418,193,714,885,707,130,841,256,744,144,809,232,525,196,908,
070,126,915,557,461,866,187,421,447,574,210,157,525,924,471,628,946,770,510,
159,905,766,700,762,527,846,832,688,291,326,068,387,459,880,825,043,225,725,
144,219,767,163,416,780,824,094,503,277,196,314,336,001,753,414,570,542,725,
105,353,280,002,024,071,683,659,518,206,611,700,235,776,539,520,627,001,644,
654,380,754,294,047,314,016,168,346,637,458,615,518,787,910,652,055,770,528,
955,059,466,025,183,858,543,447,998,607,150,157,747,892,003,174,909,512,905,
943,773,171,178,621,370,982,096,427,616,931,025,053,727,716,694,473,436,564,
325,026,591,823,157,384,085,501,596,875,374,976,190,109,930,215,690,390,430,
506,872,489,968,945,628,790,979,789,799,171,334,107,089,555,719,655,827,288,
216,458,984,569,852,764,852,718,962,871,431,755,345,018,287,724,709,784,936,
833,904,142,610,402,158,358,656,047,547,627,197,506,690,191,144,808,784,892,
084,683,515,026,563,218,811,279,791,233,621,397,112,562,886,507,903,643,233,
347,423,914,320,771,629,202,227,630,865,232,545,395,198,529,197,892,630,490,
579,006,603,504,182,975,636,687,154,810,738,554,871,302,248,606,207,683,883,
567,317,018,626,462,358,818,460,567,690,484,410,412,477,593,097,897,051,752,
376,753,310,421,564,457,623,456,537,037,841,604,729,185,607,128,675,199,117,
538,851,605,219,387,017,311,432,369,421,053,175,171,330,287,653,441,890,659,
345,167,636,613,976,720,688,710,918,092,990,568,405,070,815,827,427,611,048,
015,829,727,502,498,481,899,343,784,139,789,517,439,847,489,727,351,148,320,
769,405,740,744,370,232,835,970,216,864,078,830,974,484,880,645,481,142,408,
306,551,691,092,958,394,075,970,299,067,614,965,766,600,597,161,589,917,200,
642,569,201,451,897,358,997,207,573,639,882,739,727,692,905,145,781,553,685,
442,687,613,732,806,366,957,751,490,964,707,306,199,554,929,462,111,280,235,
680,702,630,325,213,715,254,067,346,775,370,517,206,248,016,004,851,356,558,
198,922,093,670,568,103,418,099,720,217,040,744,491,673,615,910,619,671,826,
993,135,019,856,713,795,169,775,883,608,839,660,831,602,387,112,327,430,232,
117,726,649,789,993,696,053,183,667,822,139,169,169,069,411,122,684,916,505,
336,574,125,212,558,816,832,966,908,490,987,338,333,740,687,914,052,130,369,
753,541,892,598,346,775,754,021,741,931,808,660,266,921,067,521,343,021,066,
094,702,873,359,875,651,017,565,310,634,571,860,119,514,061,498,430,722,205,
530,900,491,326,691,912,555,989,567,908,091,948,303,149,822,227,878,998,918,
450,379,123,640,015,891,338,554,564,535,110,379,904,776,473,863,853,669,546,
967,254,949,695,363,206,548,317,304,195,198,366,783,489,001,685,656,832,457,
601,863,344,345,843,541,167,991,565,761,730,206,626,092,138,094,717,547,713,
451,450,140,298,134,885,566,092,151,710,541,298,163,255,026,399,142,347,501,
383,624,627,922,581,631,924,918,475,618,224,296,941,624,912,121,830,734,571,
858,659,817,097,028,292,799,781,773,889,758,092,650,977,929,898,368,693,940,
146,949,423,049,555,679,669,821,471,355,720,091,053,699,352,280,350,316,266,
911,325,666,504,868,985,547,730,814,786,729,292,545,249,957,404,129,017,558,
255,060,698,896,665,854,184,175,775,417,332,886,163,725,007,988,855,052,054,
596,043,153,214,984,648,195,554,409,369,714,314,686,097,528,088,004,075,363,
528,400,725,323,944,299,911,563,515,317,257,422,728,051,146,530,595,088,264,
777,482,383,927,267,033,680,033,954,354,326,112,499,620,090,703,942,108,743,
191,338,184,540,256,225,332,909,110,978,924,115,061,621,494,550,694,271,664,
319,895,606,817,564,563,049,740,232,483,009,242,893,606,780,904,311,681,158,
334,951,768,788,110,667,965,460,681,129,070,125,478,090,725,687,619,908,853,
652,285,670,441,848,660,575,569,091,545,173,690,157,307,632,788,637,893,050,
341,119,872,360,436,259,601,381,202,248,185,479,243,839,221,151,257,263,193,
018,117,199,783,321,894,046,990,084,496,165,834,986,944,261,343,036,841,380,
763,866,449,356,400,388,371,864,258,927,158,500,405,044,874,817,159,245,292,
482,385,749,947,846,202,444,010,640,337,896,269,621,462,820,126,987,832,262,
756,988,965,378,284,179,148,126,723,210,505,699,044,728,826,659,302,816,291,
346,410,153,579,571,537,590,017,322,988,339,444,517,687,452,193,744,952,809,
666,121,645,698,364,916,557,288,510,475,867,811,226,623,804,154,443,402,463,
652,790,401,627,678,661,100,014,129,339,472,407,575,813,755,396,053,599,881,
050,453,342,136,398,667,115,668,271,307,279,175,673,583,380,780,540,493,948,
160,506,700,803,695,693,784,557,561,206,788,748,417,198,054,601,980,099,448,
936,403,698,524,810,142,235,745,614,102,738,845,651,613,568,208,998,337,809,
738,558,783,079,554,454,468,751,454,043,518,659,479,907,686,952,520,655,808,
203,842,825,867,133,149,728,487,107,332,737,544,437,014,275,153,153,784,976,
082,922,740,742,744,081,506,508,531,332,539,570,134,930,792,292,811,191,485,
032,442,059,808,437,924,173,965,993,769,869,641,322,404,037,514,434,495,075,
146,081,361,738,529,711,925,885,757,751,077,130,732,958,892,693,660,439,783,
888,723,926,715,665,422,301,387,871,239,411,124,504,021,767,843,929,650,039,
315,404,497,685,230,191,321,785,340,260,573,141,502,861,385,020,250,593,477,
763,669,750,952,045,410,085,056,617,275,245,925,366,222,425,600,392,655,134,
387,655,935,943,077,399,857,501,447,059,660,587,402,367,493,516,703,167,584,
642,546,722,520,484,162,916,351,875,572,330,916,566,442,062,571,450,329,779,
974,198,576,561,459,529,433,538,056,845,072,934,259,759,292,636,051,619,627,
526,540,941,301,663,953,085,218,081,589,120,215,199,853,496,426,616,871,502,
948,775,901,000,585,904,351,855,280,279,408,506,313,287,281,771,458,676,131,
768,625,996,777,440,280,154,173,277,447,161,073,893,075,137,210,863,077,905,
912,763,065,735,281,733,756,476,458,728,955,837,526,962,897,133,536,371,086,
154,904,411,121,827,058,104,949,232,249,904,602,693,280,027,782,864,654,951,
588,341,371,002,385,496,551,836,614,966,506,524,141,171,465,308,660,608,581,
594,939,474,179,287,874,335,655,710,156,876,687,628,723,214,994,342,890,565,
328,533,647,335,056,592,971,162,761,966,214,142,664,049,908,060,785,431,769,
811,413,626,412,300,637,172,065,383,257,250,080,765,981,775,782,860,222,870,
913,040,304,900,262,400,622,530,224,733,961,785,307,662,696,431,073,130,987,
429,034,167,383,821,382,133,449,699,275,692,539,536,609,138,725,988,029,646,
836,235,461,620,098,872,203,410,330,349,362,379,261,477,451,003,639,140,284,
829,427,314,595,330,706,497,727,165,372,600,177,898,064,366,211,954,268,880,
216,340,978,274,031,953,427,388,453,200,041,461,781,944,649,533,594,888,654,
819,423,689,273,606,363,368,337,565,974,714,274,705,982,390,825,810,029,944,
762,709,182,470,131,733,319,490,705,402,752,534,395,480,457,717,068,559,081,
249,538,110,078,909,164,354,124,920,776,834,676,224,838,442,236,831,046,781,
737,368,273,774,575,360,564,068,546,348,363,888,788,321,369,630,421,818,415,
071,200,527,707,427,814,002,119,828,510,005,825,074,814,543,042,069,870,973,
841,670,142,903,195,977,637,383,922,836,782,622,074,515,614,025,708,411,538,
575,880,787,006,683,001,202,274,396,305,686,037,799,219,372,335,486,418,539,
011,359,311,366,668,140,397,522,640,550,766,446,253,380,883,406,120,883,754,
036,161,692,715,056,514,788,278,766,137,328,282,142,235,200,557,885,301,473,
122,460,389,259,837,166,492,557,656,347,092,289,195,100,230,443,053,666,328,
359,666,855,536,629,695,555,290,890,766,919,083,960,249,974,952,625,340,420,
191,033,756,431,296,272,498,755,526,237,076,468,655,428,736,341,888,181,898,
053,684,676,610,226,536,291,089,903,562,287,745,718,131,657,278,924,027,046,
747,391,714,575,491,429,175,774,610,895,725,102,517,542,829,370,230,624,489,
005,525,665,373,424,000,638,833,085,864,596,252,332,194,842,680,509,024,808,
060,898,357,582,576,505,121,642,835,514,569,004,895,961,362,890,052,753,104,
205,368,576,387,975,125,626,235,592,108,388,479,731,722,321,086,905,904,601,
268,418,378,108,012,959,896,638,374,978,008,728,552,453,714,250,067,025,259,
275,337,807,577,946,689,106,052,061,531,342,298,447,652,229,958,202,081,951,
767,423,529,207,929,168,467,486,587,123,945,647,135,428,480,953,548,805,234,
397,117,385,139,898,522,770,218,079,096,714,499,407,133,560,386,936,103,491,
114,692,485,508,502,892,627,910,291,155,182,203,189,130,961,365,123,280,322,
236,022,086,612,567,904,510,840,369,389,122,617,745,186,291,152,219,103,459,
999,344,663,093,460,196,977,356,868,012,119,833,702,864,537,990,964,093,500,
757,641,091,391,300,991,748,381,228,578,259,819,190,309,222,698,463,303,815,
252,025,532,434,745,523,462,314,858,901,504,842,570,695,279,444,135,285,693,
027,030,101,610,962,833,295,058,009,074,370,798,204,303,829,215,326,062,726,
673,035,262,872,129,540,316,880,535,789,060,487,756,954,287,609,476,205,659,
877,764,856,894,360,284,522,710,885,610,271,484,724,014,467,328,839,426,932,
528,350,109,402,228,149,448,290,265,723,711,252,320,611,766,717,123,854,828,
531,836,188,753,279,074,829,502,393,992,654,877,998,654,765,014,292,877,514,
933,873,697,601,820,387,445,321,508,811,171,936,750,227,585,020,477,915,367,
676,400,838,768,546,070,642,372,751,487,454,969,999,540,974,851,742,473,196,
143,222,535,872,249,475,153,767,327,350,911,545,287,495,695,233,554,740,245,
673,195,948,232,444,546,025,388,437,440,910,305,258,849,994,547,650,360,314,
264,068,223,924,674,245,848,873,965,780,584,574,429,845,400,918,257,524,138,
142,570,423,379,355,995,779,166,412,032,511,130,708,003,787,882,297,250,680,
221,289,127,107,387,685,709,646,370,097,675,419,934,601,547,758,022,460,676,
594,699,101,914,047,115,758,514,221,832,660,709,304,509,487,536,383,512,385,
664,766,169,725,529,977,237,253,907,517,696,828,865,721,394,763,341,192,535,
766,446,451,624,000,720,691,052,259,015,642,583,800,160,969,679,757,132,074,
791,487,406,841,104,278,233,009,407,526,770,377,004,213,350,656,037,589,819,
511,378,950,115,694,310,076,996,641,079,207,336,981,285,234,110,768,461,473,
869,229,731,330,725,061,696,969,804,067,963,022,007,228,143,318,264,155,624,
017,834,403,110,368,555,561,877,036,649,872,431,194,694,777,855,943,933,330,
432,709,443,053,324,053,664,770,719,099,334,750,728,010,462,383,212,050,058,
359,490,421,751,619,227,212,298,457,239,185,041,478,869,850,386,970,745,303,
027,363,724,987,893,682,989,144,685,799,613,141,067,060,588,239,133,678,439,
721,094,633,104,561,841,075,079,770,641,378,510,526,230,218,825,890,215,723,
290,972,436,029,621,856,682,313,543,980,435,297,379,090,954,471,609,750,250,
984,227,874,479,535,206,853,955,621,775,383,150,677,851,083,524,396,530,416,
899,483,878,348,390,042,885,013,487,590,685,633,849,029,812,565,260,631,502,
327,978,320,061,000,844,796,555,221,092,460,577,921,088,377,350,160,481,119,
473,098,510,140,810,726,458,054,247,461,651,195,679,129,274,119,308,853,450,
190,055,814,309,036,291,364,220,395,814,376,227,184,501,472,606,479,111,210,
772,329,148,684,119,855,670,969,748,791,737,521,945,636,150,033,747,370,739,
518,608,752,761,678,227,994,523,569,122,725,482,781,407,876,026,008,436,802,
675,655,971,405,170,322,570,404,296,637,835,337,283,359,682,997,676,289,801,
469,890,448,895,581,771,834,758,733,004,978,989,012,130,359,318,441,938,977,
172,203,285,668,034,514,786,403,154,044,738,627,714,963,945,302,673,772,235,
516,579,207,267,163,173,580,136,603,333,442,102,622,783,011,872,015,987,349,
527,373,177,521,384,302,993,796,909,559,805,876,644,601,855,232,516,238,649,
391,698,284,033,689,775,302,087,344,041,639,460,080,916,769,421,481,905,301,
711,630,514,245,388,463,544,447,941,806,986,572,360,308,320,195,996,135,846,
069,765,150,123,412,733,282,635,615,549,380,492,111,709,736,299,424,274,400,
270,286,606,678,561,936,567,507,650,741,424,367,202,288,852,138,277,758,725,
155,640,387,379,492,325,913,773,742,497,658,126,679,758,933,017,812,489,979,
002,405,914,849,430,516,667,491,208,859,701,237,044,469,227,764,193,344,115,
737,094,231,937,106,882,907,625,163,207,379,151,593,738,084,498,042,059,812,
433,333,212,539,362,899,011,506,006,065,619,997,589,858,701,621,357,042,500,
555,347,482,008,583,950,574,356,253,104,635,298,881,918,570,232,876,546,863,
684,897,997,882,366,479,997,617,566,082,194,058,479,112,376,836,145,925,389,
606,815,795,694,401,759,238,013,231,903,301,867,664,347,447,687,872,004,312,
149,845,761,761,787,866,142,980,491,468,282,010,481,704,925,519,722,452,256,
434,876,098,361,850,490,827,420,237,327,790,441,438,658,090,383,414,696,286,
263,051,999,539,570,456,068,575,084,508,694,814,501,515,674,292,892,043,520,
826,162,567,759,392,056,484,163,198,049,970,616,919,763,998,439,607,262,168,
383,500,169,746,270,810,756,254,757,249,869,890,576,654,575,582,697,886,569,
759,193,355,199,966,003,839,302,193,101,690,367,944,297,171,347,841,544,425,
134,476,642,645,781,380,701,360,280,096,937,970,149,553,242,652,329,332,912,
644,364,336,727,289,942,664,309,097,557,563,365,755,421,220,826,318,132,386,
871,732,425,637,413,492,286,156,435,442,611,137,756,330,764,863,414,556,628,
177,891,775,410,545,503,677,374,330,775,359,077,894,737,820,076,258,300,506,
499,725,906,055,848,220,216,144,643,363,128,598,706,180,994,486,436,128,681,
843,154,917,218,746,869,732,023,475,248,147,994,857,179,867,978,789,804,959,
309,308,747,585,203,948,923,072,172,774,340,661,437,936,546,419,663,830,436,
171,892,567,848,274,932,568,239,635,424,458,415,885,236,257,044,315,584,503,
105,623,595,370,775,143,612,067,014,117,964,464,079,465,524,977,655,117,404,
774,233,057,748,417,941,447,290,508,468,502,691,557,146,474,967,689,945,041,
042,331,597,696,007,544,598,878,291,880,812,142,596,859,712,443,075,882,912,
243,819,763,393,825,032,067,004,034,613,902,053,434,485,008,371,384,911,208,
168,352,183,286,038,058,454,135,841,541,406,197,897,542,055,207,039,895,079,
178,302,465,084,164,753,295,619,857,836,868,690,898,576,159,397,410,246,489,
661,703,565,189,946,727,451,073,213,825,038,860,582,121,175,818,887,342,673,
657,229,220,651,035,178,952,840,673,074,960,150,311,123,904,300,554,131,799,
967,058,260,586,798,689,255,365,976,270,349,726,407,601,686,014,249,374,410,
835,716,955,076,670,921,923,248,863,185,026,099,071,304,674,688,354,934,525,
169,945,457,317,954,489,711,989,261,036,510,160,374,700,392,013,280,741,655,
924,818,832,110,324,800,425,896,232,861,544,172,380,386,439,344,959,563,396,
472,985,415,609,721,114,827,048,133,901,751,163,746,016,422,635,184,129,936,
697,624,607,201,317,127,515,781,245,023,001,718,518,733,674,180,736,491,528,
549,065,189,067,734,197,796,545,598,778,208,917,301,987,833,701,440,043,003,
747,936,830,773,040,669,016,696,948,912,075,172,409,405,665,004,295,234,989,
841,292,287,793,874,811,205,822,246,336,820,104,016,262,495,714,232,310,918,
481,223,656,266,269,345,566,336,787,977,320,943,689,103,074,951,883,968,353,
534,197,956,276,237,552,886,999,674,189,963,732,733,450,507,388,000,275,336,
727,166,010,169,152,885,726,224,506,979,157,366,694,659,400,477,741,471,804,
687,057,117,477,467,258,716,973,259,208,462,032,782,909,016,279,597,200,789,
052,492,466,799,479,043,750,165,665,004,626,434,077,515,546,723,479,190,362,
122,273,283,336,520,745,639,609,120,694,305,368,885,994,589,197,914,042,468,
974,460,880,839,946,583,105,322,581,533,173,632,107,736,249,102,580,293,638,
802,735,755,975,578,780,957,891,094,013,706,248,181,438,243,456,588,483,257,
817,559,246,031,964,694,661,543,612,389,818,577,562,576,870,226,014,582,618,
651,679,104,945,571,417,644,430,039,724,796,034,019,369,188,665,978,602,849,
374,993,287,147,758,163,822,946,425,048,697,393,389,232,796,703,844,416,555,
808,153,048,908,929,481,058,298,227,028,115,341,272,658,211,892,658,904,728,
914,015,581,374,223,031,833,342,385,540,741,670,611,846,650,665,108,737,566,
140,722,125,435,625,733,599,396,648,921,402,574,961,938,762,591,094,420,169,
182,525,466,189,952,470,298,326,984,106,551,021,794,418,404,910,842,210,890,
292,797,580,433,556,361,392,735,810,041,392,257,246,944,060,359,872,407,533,
846,588,046,181,329,772,857,677,731,647,119,287,956,508,373,437,448,016,915,
775,875,150,055,175,043,116,880,863,881,925,949,534,643,289,588,272,442,545,
052,909,160,819,137,248,931,616,561,113,743,194,948,377,198,699,186,491,320,
963,155,661,474,241,010,512,591,508,735,590,279,598,743,181,301,067,553,612,
305,364,723,888,279,015,868,004,703,036,941,929,229,877,119,017,556,181,503,
124,464,641,402,275,695,261,904,225,555,103,142,930,904,993,186,598,749,630,
106,929,008,737,601,223,961,178,307,564,354,295,047,485,790,509,637,353,840,
767,234,584,042,911,240,821,327,695,605,035,656,857,732,992,732,363,715,356,
408,493,779,185,044,425,286,023,496,459,126,445,638,391,122,883,746,309,341,
986,313,094,436,770,583,819,858,912,217,229,117,243,779,696,002,053,013,127,
301,548,411,587,711,156,453,832,013,711,130,740,595,914,626,911,972,662,470,
472,267,526,157,963,128,985,716,599,407,779,222,658,257,257,400,306,966,346,
343,532,365,453,980,803,451,667,430,188,224,688,216,946,439,210,125,524,485,
092,858,334,405,666,534,183,353,553,462,624,644,027,695,193,546,056,803,475,
931,009,662,894,838,933,226,983,729,744,410,054,694,689,787,344,502,809,194,
895,572,585,969,384,987,155,958,362,252,245,322,297,126,646,645,638,777,005,
882,251,175,772,147,432,289,084,000,235,428,483,421,020,341,652,308,702,795,
258,367,641,582,430,575,217,125,671,284,516,694,991,546,024,391,305,290,192,
042,178,207,756,516,949,408,605,299,036,270,246,190,320,959,695,492,389,283,
360,133,428,506,182,700,625,848,401,862,823,252,783,562,863,803,278,578,620,
248,152,103,507,047,734,102,035,949,271,609,610,989,779,052,521,394,455,610,
475,728,528,876,753,991,354,634,081,276,646,232,351,613,248,292,874,452,229,
639,941,123,253,847,519,877,148,576,529,882,234,897,493,389,750,498,387,288,
474,769,880,251,284,412,482,863,152,652,976,755,952,848,311,227,352,598,290,
046,965,327,394,072,204,219,291,102,020,908,951,865,006,860,374,265,174,655,
853,725,414,728,756,260,717,627,724,060,665,195,831,170,760,381,281,719,621,
687,844,459,431,729,973,223,573,721,865,886,435,946,457,358,204,005,629,984,
302,338,357,877,552,941,860,248,673,446,578,695,343,566,515,268,743,553,223,
074,266,748,128,610,421,258,590,022,531,587,868,169,758,927,688,187,411,690,
080,845,608,235,233,249,464,233,625,773,927,507,443,959,990,880,953,273,165,
967,936,576,861,856,617,565,278,853,704,749,580,709,693,966,112,188,898,304,
128,881,082,914,384,800,155,092,047,008,456,570,492,168,527,113,719,806,124,
604,921,697,948,693,226,322,211,488,872,797,106,259,403,608,027,167,880,080,
670,236,279,338,777,705,073,229,805,874,416,751,598,542,198,869,943,408,508,
744,796,508,244,844,855,855,215,767,710,763,356,583,548,099,032,404,510,122,
385,008,448,667,742,818,191,495,913,716,517,948,387,789,082,366,577,316,260,
991,634,155,562,618,329,382,451,049,747,297,455,348,671,870,191,649,887,364,
681,211,671,107,863,675,545,303,346,251,547,389,534,975,590,798,115,022,373,
985,498,102,430,266,477,246,768,798,517,163,589,765,968,145,544,578,346,289,
932,217,553,934,016,528,242,482,991,415,496,671,305,338,723,032,429,466,858,
273,035,886,339,586,660,226,678,311,434,192,560,557,765,613,267,558,547,406,
899,581,172,068,546,604,495,281,614,157,088,635,199,417,635,054,624,330,209,
070,864,805,865,375,855,896,819,153,561,830,177,390,513,475,412,131,049,185,
343,629,861,546,142,011,078,217,679,666,182,495,576,747,035,285,604,337,677,
786,234,709,278,709,579,521,954,713,310,036,894,561,153,446,355,471,768,992,
687,472,001,400,094,992,805,465,437,501,063,136,307,945,635,283,585,499,853,
887,887,526,349,571,680,475,288,473,292,451,765,692,096,990,917,473,677,134,
960,206,634,699,659,783,995,409,959,358,643,797,098,599,382,681,804,095,901,
056,816,322,908,580,876,989,534,548,349,497,342,439,133,460,767,844,237,948,
450,934,507,624,999,568,893,018,592,761,738,774,041,899,913,786,113,497,287,
899,230,329,964,526,727,003,929,416,893,676,508,785,853,677,461,795,603,537,
894,281,987,591,055,228,194,280,617,377,495,509,036,284,738,494,351,566,608,
944,699,487,707,549,965,130,127,698,196,000,899,943,373,490,445,592,773,608,
077,864,998,388,477,561,706,822,267,905,238,408,716,238,150,637,240,492,305,
566,960,932,903,454,322,999,008,773,473,956,492,408,083,906,705,738,120,514,
962,403,612,652,080,915,261,794,741,051,808,217,295,020,243,869,797,343,823,
195,098,936,814,123,236,898,384,912,992,174,216,679,699,523,817,529,319,924,
371,970,896,120,054,405,887,037,252,757,312,866,293,816,159,646,024,710,045,
243,807,216,643,197,029,395,182,915,167,446,177,219,946,681,943,054,711,963,
077,184,038,744,517,319,440,955,114,384,075,934,036,562,157,764,597,008,907,
905,601,446,389,172,043,623,656,184,933,667,664,942,707,471,045,390,764,173,
605,287,283,693,853,821,243,760,558,160,230,553,584,639,925,906,918,936,848,
480,851,061,216,257,125,240,528,687,494,341,341,993,773,261,272,449,511,792,
579,710,335,891,819,374,001,826,236,667,799,646,682,062,677,192,842,056,552,
068,864,408,677,856,317,347,722,527,867,418,323,530,755,756,682,647,767,432,
605,815,666,674,476,554,876,450,661,305,178,823,920,924,998,995,914,373,937,
111,239,989,161,046,865,796,879,878,745,653,778,523,266,129,173,851,665,096,
576,581,742,533,924,863,416,485,072,615,656,664,118,319,468,697,170,147,928,
533,467,075,016,322,209,955,271,800,813,435,002,347,596,625,428,072,832,517,
644,836,439,968,544,261,063,668,415,622,813,095,609,585,679,605,520,942,371,
958,218,412,733,814,270,408,920,632,759,817,327,615,032,436,140,041,508,975,
994,407,355,867,127,434,979,722,021,722,672,291,114,104,017,040,518,486,479,
536,493,732,603,647,379,591,226,900,138,289,339,706,336,173,301,759,594,903,
292,586,943,398,610,156,485,013,128,976,775,514,348,038,404,570,513,917,261,
209,709,224,040,517,267,515,942,385,581,599,507,087,088,114,379,598,750,610,
945,678,686,012,597,610,562,166,472,193,804,875,153,024,190,842,394,028,902,
929,204,211,720,568,512,278,596,811,704,245,262,681,599,862,297,208,118,299,
771,856,103,074,318,135,972,236,164,402,329,435,539,778,326,463,416,080,504,
970,598,126,944,272,870,739,686,479,842,699,146,627,289,964,394,585,027,334,
286,667,349,630,619,100,098,426,679,306,263,641,822,220,544,478,332,319,984,
731,973,183,269,619,563,489,680,713,194,855,949,070,647,472,071,788,673,920,
329,374,771,413,844,367,672,172,898,482,115,306,123,553,927,665,438,785,046,
770,654,415,830,590,946,903,285,571,877,883,164,008,474,300,475,524,395,138,
538,850,149,147,301,508,493,917,806,372,566,291,926,580,079,559,054,397,640,
490,757,887,417,203,439,552,664,821,064,871,712,866,683,413,238,239,503,700,
493,660,697,304,439,118,607,562,921,154,426,973,960,047,812,411,442,436,512,
049,774,980,349,049,431,872,356,746,670,284,566,697,794,630,741,252,072,816,
167,645,470,698,075,751,170,716,176,638,695,620,496,350,966,987,448,939,712,
315,870,602,391,300,366,846,368,023,822,315,735,213,807,774,030,451,969,673,
729,668,586,477,745,297,186,922,353,037,319,568,446,984,616,955,155,109,110,
246,316,612,267,846,935,670,585,439,779,854,859,862,442,313,311,051,913,700,
529,136,617,075,091,786,606,575,115,494,368,023,956,699,009,062,007,903,363,
989,653,115,128,159,657,870,238,753,742,644,225,224,116,246,125,740,484,318,
061,973,695,110,572,540,400,262,112,486,607,093,961,674,217,329,845,003,112,
404,340,085,766,141,371,854,796,260,176,788,486,092,445,008,424,670,847,126,
958,116,518,845,752,424,945,213,011,183,566,640,666,881,915,102,746,715,601,
770,446,263,924,566,909,531,727,882,735,569,390,020,570,404,462,940,360,193,
823,215,731,323,239,142,795,613,972,293,700,871,736,548,445,033,004,137,668,
789,295,173,169,316,062,451,844,024,111,469,432,379,568,452,144,787,274,289,
527,049,734,696,244,284,202,225,758,140,398,926,421,478,298,538,917,651,831,
242,829,337,152,115,872,945,043,113,947,302,409,812,379,974,052,642,104,500,
538,789,138,885,453,861,285,329,796,120,427,945,240,858,809,493,839,990,001,
875,950,405,305,913,976,183,454,645,229,973,965,118,715,861,366,572,002,594,
243,044,505,037,099,415,170,492,861,202,910,249,959,724,281,447,644,265,131,
292,855,238,769,149,494,443,462,006,550,968,255,135,569,852,961,361,982,009,
752,022,523,478,784,569,793,064,904,357,585,008,463,183,400,085,567,240,205,
483,510,731,374,948,790,299,160,658,124,278,005,359,344,290,560,149,793,914,
769,338,536,817,068,002,520,265,884,487,993,949,063,391,563,846,337,669,833,
289,963,785,020,379,881,253,768,040,575,719,559,029,179,948,829,278,471,797,
524,419,898,272,345,618,088,660,392,099,380,527,040,028,661,686,434,563,113,
529,548,002,170,975,825,330,207,157,047,044,109,478,783,499,614,498,619,225,
452,138,685,884,407,989,059,575,607,300,248,808,056,430,099,752,787,780,384,
255,497,836,952,739,042,727,309,215,940,549,162,803,495,371,977,055,778,229,
582,468,992,150,497,260,492,960,818,659,772,128,422,169,972,347,669,076,521,
167,335,605,665,778,319,220,672,725,859,203,433,571,978,749,217,160,426,440,
943,035,218,406,021,870,753,302,232,613,449,233,196,572,873,439,019,583,692,
621,765,208,599,339,930,696,253,000,508,141,408,931,969,810,007,349,914,594,
255,114,025,446,127,029,432,598,100,360,305,146,317,612,936,317,732,871,466,
293,021,972,266,553,646,643,270,378,047,249,577,581,118,830,972,260,844,600,
930,687,728,036,475,572,268,927,087,232,170,070,505,638,569,595,860,182,069,
050,396,110,295,658,000,712,790,968,212,053,955,796,431,578,724,207,353,758,
652,767,223,365,542,788,361,714,667,245,278,603,296,503,881,189,238,294,053,
641,815,597,809,465,565,762,466,773,408,281,216,665,876,289,599,156,141,192,
146,030,913,017,654,130,136,222,084,540,578,930,612,553,914,161,211,681,964,
407,092,380,242,497,561,879,111,007,897,902,125,423,898,607,046,395,743,538,
516,645,669,630,859,446,697,927,904,650,415,214,071,329,043,014,172,327,788,
381,821,419,962,382,556,662,976,963,845,179,986,795,309,643,914,938,477,749,
859,837,087,810,155,982,445,411,582,891,006,031,747,248,966,276,998,908,260,
630,582,542,373,299,391,269,483,072,257,147,444,830,064,049,740,018,749,348,
054,846,587,783,872,825,105,691,845,564,979,635,754,123,788,984,570,592,412,
399,878,890,880,310,041,050,281,786,782,632,542,168,726,930,874,095,148,266,
623,579,226,751,863,916,003,466,146,662,546,078,975,213,380,564,378,984,828,
437,035,488,553,632,047,543,148,910,318,368,722,295,322,770,394,928,932,474,
029,761,605,477,381,975,204,939,960,916,366,584,917,619,302,221,875,691,186,
695,484,798,695,595,764,376,879,888,454,823,534,237,414,463,554,138,620,382,
115,239,208,141,810,688,976,493,115,419,917,318,100,840,766,004,446,050,550,
475,365,525,142,836,114,102,610,293,218,453,242,730,903,015,842,758,954,620,
588,606,253,243,608,578,009,724,354,138,456,486,908,070,765,742,935,594,259,
209,867,674,815,619,708,811,252,615,248,632,258,133,154,062,278,654,121,793,
224,556,236,683,700,713,694,566,732,277,921,381,990,162,948,770,566,744,152,
309,519,650,127,317,445,736,984,881,817,624,901,107,307,884,030,594,885,487,
886,512,812,789,613,804,265,847,660,776,461,955,659,589,487,656,363,343,593,
821,017,068,218,914,457,307,358,679,987,065,651,219,669,945,057,244,170,517,
733,978,874,281,337,372,948,995,760,010,048,790,173,094,034,999,566,817,216,
333,688,300,377,217,003,671,798,932,274,261,411,553,673,060,603,255,717,718,
707,612,364,223,669,930,983,006,567,675,145,140,021,674,670,972,243,938,908,
487,821,334,382,571,025,170,516,947,712,402,041,971,105,744,339,073,382,933,
339,018,458,136,436,325,377,908,334,957,152,630,555,399,378,593,345,748,360,
285,865,084,224,499,430,737,954,006,251,569,612,535,953,775,291,031,948,496,
672,077,917,836,829,498,769,964,048,051,617,806,091,666,318,808,215,610,069,
867,786,933,328,521,983,397,515,348,084,395,463,900,838,897,718,817,319,096,
658,574,677,366,112,516,056,695,603,138,944,884,374,707,107,792,685,910,242,
283,465,034,080,977,310,543,248,113,460,159,877,931,881,914,031,505,317,194,
937,417,056,690,406,015,735,018,143,955,054,189,178,413,096,777,201,011,006,
967,324,339,060,416,743,065,575,752,013,133,562,487,158,091,832,984,950,089,
249,975,468,447,535,757,210,495,549,482,619,424,950,293,885,453,561,506,150,
078,198,369,179,230,546,075,169,735,882,387,510,139,438,714,423,347,684,050,
903,510,981,302,759,812,080,963,520,040,574,823,350,067,247,937,021,720,987,
680,007,350,149,242,756,651,071,258,201,743,551,755,351,029,149,706,876,955,
685,103,167,422,397,784,117,101,776,839,545,828,122,413,381,382,629,541,687,
743,773,738,348,767,884,178,925,572,144,519,476,937,240,303,472,918,957,447,
811,990,356,377,708,366,015,144,958,335,354,733,438,003,037,195,412,997,955,
396,332,534,055,680,853,669,076,552,841,396,926,962,343,469,170,937,466,520,
488,602,561,645,440,296,922,254,416,749,031,374,643,314,271,268,850,315,957,
219,511,604,136,687,797,740,421,454,873,537,413,116,660,003,547,385,183,980,
898,819,525,436,259,374,298,498,866,612,221,624,550,771,517,656,151,784,972,
293,727,776,653,592,237,640,245,046,240,054,155,132,573,009,585,378,714,256,
383,369,104,920,856,930,070,317,131,114,912,403,647,090,770,387,523,505,316,
942,587,274,331,582,835,355,019,018,787,208,050,684,336,067,368,761,570,136,
159,097,940,336,677,318,832,169,040,228,945,062,460,959,114,078,392,242,041,
527,501,114,016,987,534,954,494,428,716,614,516,885,669,119,542,832,676,190,
754,569,744,488,707,586,532,893,578,921,422,892,739,186,309,407,022,661,368,
392,736,927,548,448,701,775,264,114,190,870,004,225,597,320,715,035,663,716,
718,277,328,228,949,438,205,974,613,476,093,013,526,953,722,748,559,585,279,
363,287,667,467,710,925,071,853,551,483,993,372,130,304,660,195,831,962,229,
974,122,744,378,857,919,919,963,041,510,790,795,355,789,119,035,943,609,634,
293,607,910,746,566,957,962,016,533,387,848,786,653,068,430,975,354,781,496,
634,466,774,845,786,658,850,818,624,434,622,060,322,752,836,353,235,879,543,
878,109,184,321,126,340,738,837,856,117,279,799,623,439,102,224,207,876,492,
446,778,002,002,995,482,182,720,118,469,458,417,775,653,994,418,447,338,740,
545,839,612,874,593,709,084,152,187,621,344,370,173,044,777,638,498,914,409,
957,208,196,519,952,649,661,288,762,585,571,475,523,108,657,422,966,964,368,
909,691,675,145,263,445,238,093,675,280,604,961,173,746,861,154,305,692,675,
751,117,215,808,879,675,786,562,807,869,749,488,398,976,359,152,699,121,458,
387,658,855,000,284,780,480,315,011,165,884,284,619,988,747,650,755,551,138,
484,819,974,732,457,383,703,557,460,576,108,277,026,354,596,349,620,476,873,
021,397,826,976,697,323,082,268,607,372,138,808,854,393,927,029,908,785,327,
437,981,483,980,868,717,529,974,494,080,269,349,735,715,600,538,029,592,871,
999,565,722,389,584,881,022,044,495,045,660,725,248,076,838,925,469,655,147,
700,471,738,850,386,245,125,594,317,859,872,501,257,017,194,447,842,971,590,
914,024,366,635,409,610,540,149,648,025,798,304,375,662,430,365,500,009,308,
096,361,784,029,294,551,359,232,982,507,747,790,298,167,914,756,326,704,125,
134,515,945,153,824,056,518,670,553,048,299,798,733,605,202,258,457,880,635,
343,558,666,379,787,321,138,924,255,684,471,436,627,459,668,275,707,767,534,
958,255,578,347,009,651,107,010,538,441,211,265,268,520,871,876,831,138,395,
521,209,487,771,711,770,399,128,442,621,511,146,394,879,194,859,686,198,896,
239,593,123,009,457,116,270,731,970,307,405,832,743,567,801,248,799,459,264,
609,092,257,038,218,219,899,467,926,794,290,117,078,833,026,535,657,647,197,
887,585,530,114,901,689,742,868,411,370,920,157,691,732,925,423,821,228,947,
109,734,021,557,103,529,259,144,311,131,769,213,836,347,849,792,525,884,558,
706,023,789,470,317,357,222,413,371,881,085,773,246,810,256,155,815,509,860,
320,992,436,547,279,355,636,376,005,563,460,388,253,848,794,310,966,499,539,
773,278,801,482,422,218,084,915,760,393,706,556,391,898,203,184,217,711,405,
659,401,367,128,684,738,639,463,079,473,758,083,822,532,741,029,165,780,315,
840,769,607,018,570,551,034,599,644,424,887,711,403,978,728,943,887,716,671,
706,645,789,064,417,418,355,161,026,296,476,140,033,257,965,792,891,848,344,
142,877,730,265,372,443,822,304,859,952,357,747,373,137,537,551,178,441,475,
832,758,232,135,064,639,642,385,984,086,748,880,079,252,160,195,349,775,190,
648,112,270,161,769,763,036,904,243,221,825,280,835,305,351,362,789,058,457,
431,687,101,182,227,736,853,252,263,327,660,115,063,752,613,759,315,913,938,
884,578,268,284,330,596,604,539,407,535,842,922,566,564,462,613,991,671,409,
126,474,839,874,378,081,894,038,793,081,325,085,450,283,301,196,344,307,010,
847,634,373,098,109,601,416,898,070,141,762,424,564,160,219,708,401,621,614,
822,357,096,920,199,670,903,362,326,091,493,616,158,852,999,839,680,339,789,
821,318,955,525,316,531,111,156,782,477,202,834,772,185,577,797,565,147,711,
779,366,062,391,593,530,291,904,779,794,988,173,397,535,417,322,215,100,608,
390,077,221,247,479,139,538,753,744,294,096,312,269,118,114,784,587,278,325,
545,868,111,480,725,700,319,724,215,225,940,864,031,720,698,557,655,485,948,
216,502,700,503,998,523,973,617,822,889,756,396,377,633,876,918,995,932,318,
507,869,089,916,669,214,377,498,893,709,791,675,232,684,104,062,978,993,939,
291,361,856,226,990,062,115,129,769,715,937,983,000,032,184,144,916,601,904,
807,834,695,765,986,366,227,981,283,271,439,084,847,728,907,052,587,453,975,
103,239,221,003,632,896,364,043,185,746,490,788,385,780,224,054,364,527,401,
955,341,241,261,072,005,175,175,836,682,941,317,223,599,127,910,591,010,377,
744,413,935,780,423,979,391,869,857,999,533,935,700,887,763,926,263,341,309,
340,607,823,287,781,900,868,724,611,847,409,265,135,151,865,699,153,346,909,
608,492,856,969,690,669,552,424,975,247,232,577,989,361,365,114,571,151,834,
871,554,839,931,592,199,644,644,627,396,307,306,926,966,947,037,942,537,401,
010,457,113,235,874,462,102,216,072,549,331,666,337,138,245,568,847,260,053,
862,450,811,851,884,729,028,407,586,626,849,157,337,757,939,561,696,675,175,
406,249,114,280,963,482,599,114,414,086,127,025,736,928,010,556,828,865,350,
465,522,833,818,446,919,286,157,563,975,935,187,124,240,344,591,959,408,154,
390,168,468,091,570,104,758,568,783,181,691,918,657,788,944,479,882,440,702,
423,778,228,056,223,595,298,843,100,731,497,608,658,005,544,685,728,650,566,
424,027,513,497,152,798,956,752,933,455,852,293,453,212,823,337,931,936,949,
762,711,398,482,120,739,624,958,641,437,690,671,611,939,988,625,672,295,119,
826,563,436,085,645,160,145,381,178,476,093,431,132,897,919,817,432,806,445,
604,166,292,989,328,726,829,670,681,364,626,687,008,162,695,358,298,923,451,
910,487,221,096,531,346,550,269,094,177,159,788,235,793,380,937,329,696,438,
233,263,232,323,263,136,254,056,917,016,333,333,116,890,768,436,429,175,671,
497,940,771,336,287,155,753,006,103,143,817,123,973,257,612,066,212,702,399,
836,678,846,109,290,131,651,367,073,395,488,172,100,076,125,786,186,018,321,
753,585,628,609,238,836,963,028,355,865,621,695,065,965,338,743,094,002,149,
402,901,064,659,572,393,404,998,527,340,367,720,338,897,651,157,818,810,471,
932,502,461,573,159,420,222,206,478,868,493,644,592,755,974,636,782,241,592,
239,636,958,833,532,812,093,423,547,343,079,365,848,698,155,901,460,711,838,
121,274,564,439,221,669,137,629,058,639,255,978,113,283,781,395,013,134,001,
577,223,303,416,486,850,632,370,908,134,445,653,822,805,926,259,005,597,217,
408,284,765,382,812,237,223,322,534,080,576,182,959,714,792,682,691,579,270,
164,714,395,112,845,027,398,483,493,850,829,895,347,455,247,837,610,931,676,
115,903,374,788,510,127,069,733,759,418,030,176,215,546,682,344,936,063,799,
278,926,725,232,852,452,984,294,234,225,811,244,149,499,312,314,908,110,538,
592,489,972,137,701,340,693,437,214,234,958,376,608,968,302,044,387,358,452,
941,059,861,926,219,678,936,944,913,426,309,955,674,658,401,875,892,475,573,
602,344,773,190,927,962,241,294,416,123,427,745,192,465,087,939,415,045,847,
533,084,619,382,815,032,916,783,850,323,769,910,942,512,535,129,835,432,219,
088,981,199,212,644,815,232,501,957,496,037,129,232,711,248,248,112,310,590,
644,255,088,692,562,867,704,857,540,961,948,683,698,139,993,872,556,740,857,
162,310,316,121,521,460,090,079,683,844,142,620,574,443,477,819,359,898,289,
555,129,533,972,783,214,138,365,611,205,957,469,561,143,612,354,144,994,022,
307,680,598,818,136,532,580,842,505,728,033,112,622,097,295,711,583,605,124,
790,638,743,742,139,233,828,064,931,014,700,859,637,454,280,457,754,741,012,
300,633,842,923,956,327,350,709,124,353,317,656,521,184,741,712,708,025,958,
238,605,852,299,691,693,960,688,152,584,389,246,579,783,307,754,088,123,389,
528,147,537,327,830,468,987,837,624,781,630,592,076,806,627,683,064,365,597,
139,667,919,629,416,905,039,071,235,842,213,565,367,222,835,050,273,958,475,
936,444,982,741,798,238,796,700,134,601,188,407,431,168,794,526,349,606,546,
006,623,960,998,309,316,890,992,760,057,214,066,583,948,835,218,944,792,342,
290,181,074,211,329,153,384,233,518,183,120,587,999,730,033,789,447,063,665,
530,674,228,082,618,687,690,249,714,481,340,369,897,907,230,217,424,159,949,
351,285,377,538,862,401,684,133,296,146,973,979,329,177,908,340,885,408,729,
331,135,493,740,938,458,089,308,851,425,957,347,014,044,158,713,549,983,109,
816,000,891,035,147,532,207,823,218,152,283,660,287,378,163,692,047,839,439,
850,130,797,550,498,861,958,018,446,070,143,387,143,937,571,194,813,337,372,
962,415,843,146,704,609,874,076,593,097,989,220,583,928,446,557,379,729,966,
750,395,767,520,712,190,604,678,646,922,051,101,006,128,490,491,653,408,986,
220,976,171,715,913,073,663,348,320,009,888,077,174,550,906,295,042,319,639,
006,465,521,046,459,667,683,323,428,913,839,983,421,721,541,006,300,433,039,
757,891,658,061,338,145,471,968,327,464,698,736,485,397,066,571,348,136,761,
380,338,004,985,205,085,216,512,905,537,887,545,702,380,900,410,123,981,404,
986,490,400,025,266,128,233,544,758,692,385,385,084,147,267,826,188,545,481,
261,462,830,646,896,925,237,111,605,463,349,267,858,739,347,917,204,793,859,
807,338,914,852,880,008,607,384,061,387,076,823,422,331,713,837,176,591,940,
607,250,150,917,402,223,159,090,664,979,367,520,458,634,630,717,706,945,510,
070,469,839,026,651,181,750,631,654,332,235,859,489,414,605,915,212,800,750,
215,208,559,623,335,349,827,083,299,199,474,526,902,914,720,040,172,425,430,
350,249,792,555,392,293,521,972,120,730,062,680,561,481,121,274,028,842,454,
848,972,725,610,702,196,140,533,374,096,227,551,661,330,162,512,677,761,659,
590,256,210,918,730,379,608,722,971,716,440,070,583,782,663,394,501,271,249,
171,180,851,534,137,580,713,712,824,581,554,575,536,687,229,776,042,669,209,
883,361,011,273,775,760,946,007,579,136,169,785,385,789,867,749,070,009,823,
130,272,556,273,976,381,149,127,612,995,734,862,703,466,757,622,619,986,253,
513,623,225,880,564,432,129,530,621,415,871,808,666,207,748,020,941,533,594,
668,399,234,882,113,104,162,269,916,977,149,559,346,417,275,832,847,483,437,
857,653,679,354,456,587,965,137,723,981,723,073,554,583,588,998,363,566,002,
159,905,342,625,596,172,247,767,162,554,908,949,898,320,932,222,953,059,710,
372,699,756,732,838,629,208,394,271,086,034,622,132,492,853,520,501,807,616,
386,960,866,157,274,346,810,995,953,315,203,373,114,058,343,389,565,856,826,
818,880,715,615,552,311,880,830,194,370,199,773,386,343,509,474,335,457,346,
006,879,896,130,065,284,706,199,667,688,519,707,394,051,632,015,748,791,079,
347,944,454,623,261,090,762,863,920,354,024,997,534,786,942,107,154,757,847,
125,588,218,624,571,346,852,186,349,021,203,078,064,119,799,081,235,299,419,
948,993,192,145,247,422,896,570,323,499,242,100,186,997,392,848,130,056,486,
915,111,641,522,012,716,088,015,897,464,667,428,778,631,806,813,713,836,827,
508,572,875,714,570,382,428,980,829,297,849,979,757,022,308,488,581,055,756,
754,159,892,947,284,265,740,874,774,159,455,212,088,837,258,208,333,511,641,
573,942,656,899,235,270,956,300,656,156,331,569,337,814,704,045,083,307,804,
651,269,583,399,289,060,315,755,578,183,767,431,061,488,297,161,666,243,399,
701,450,077,676,624,249,504,154,511,815,095,990,325,820,324,746,427,885,211,
469,746,451,469,330,365,649,695,625,704,565,476,073,306,549,239,284,434,697,
132,443,944,019,804,631,672,712,242,015,639,513,947,171,813,137,336,466,982,
158,541,169,659,807,900,059,208,057,951,651,960,331,106,760,652,547,174,579,
176,120,547,649,979,190,833,088,307,334,568,786,367,583,312,534,621,741,691,
593,617,012,421,229,793,622,790,643,664,244,749,196,152,562,221,989,344,058,
607,049,415,173,596,031,949,557,973,120,636,125,879,728,947,413,993,209,549,
159,027,504,525,936,105,113,875,934,327,858,747,490,026,565,654,829,320,153,
536,620,445,345,078,012,741,197,051,737,229,504,897,264,769,083,683,594,160,
560,027,801,876,710,292,493,630,731,447,857,443,142,523,888,323,589,576,910,
435,484,364,350,575,534,371,933,013,607,618,460,161,767,503,714,972,813,892,
224,505,124,879,856,187,154,642,461,907,507,489,818,601,152,936,804,463,273,
203,490,919,913,322,669,939,248,021,657,853,333,549,406,372,815,540,209,566,
995,405,278,034,628,686,098,760,085,579,428,821,780,996,278,280,689,683,558,
933,334,257,109,952,917,158,832,707,944,023,895,530,024,596,529,021,384,610,
589,695,614,499,016,236,889,438,673,338,962,176,698,427,467,520,686,080,464,
345,308,839,652,477,429,803,265,035,916,024,727,732,877,126,540,986,762,840,
906,768,058,646,017,579,177,246,466,545,356,810,508,254,367,750,357,169,930,
151,452,630,261,549,328,525,155,291,349,515,435,143,032,182,800,606,039,574,
042,150,715,389,292,761,457,497,886,736,330,853,069,928,479,476,176,146,994,
209,319,311,131,642,396,256,168,196,404,090,974,610,744,421,726,832,206,320,
288,224,891,280,021,668,683,330,021,064,726,301,154,455,306,145,487,311,558,
793,219,272,099,525,412,711,796,515,249,231,721,703,706,385,509,537,438,255,
752,427,023,296,574,219,831,552,820,084,857,540,778,805,835,750,577,118,435,
024,678,574,548,284,081,961,259,660,163,331,260,727,069,448,441,397,072,667,
957,263,584,816,941,688,585,409,625,861,742,891,611,277,375,253,374,592,205,
269,883,122,626,477,147,781,503,171,363,833,444,651,549,519,605,969,796,837,
536,746,099,665,217,754,606,807,765,339,749,949,753,761,661,082,747,762,161,
492,198,257,565,046,596,747,005,873,779,374,547,154,374,653,950,873,250,200,
233,817,346,163,456,730,463,747,093,264,005,646,357,022,801,440,149,575,192,
412,653,411,671,029,515,573,023,373,906,035,461,417,411,942,324,050,201,663,
876,948,216,720,726,082,529,946,257,855,258,541,597,576,585,799,959,561,415,
479,777,265,634,419,575,990,708,747,014,118,373,439,886,674,491,464,324,540,
610,960,987,232,496,584,350,397,744,445,807,225,450,855,144,720,366,748,571,
622,857,628,711,410,009,871,616,847,443,329,820,053,222,074,291,838,653,467,
725,346,425,760,340,419,664,370,009,043,411,549,064,366,355,293,061,695,252,
609,309,392,960,581,254,340,378,494,312,189,629,299,927,480,327,693,269,885,
948,754,221,271,030,635,030,373,894,590,110,681,130,068,368,742,073,286,461,
770,752,967,908,866,774,930,719,126,704,541,625,008,831,765,714,433,442,592,
786,491,115,893,679,726,179,521,396,665,386,080,479,967,879,703,035,291,020,
232,686,406,161,507,612,839,592,953,760,612,785,729,485,371,463,855,079,201,
016,367,701,627,535,503,868,233,224,122,378,388,147,718,522,397,910,659,257,
566,442,678,765,852,822,676,639,198,336,662,409,436,367,199,884,984,255,302,
617,177,845,318,694,814,634,450,265,241,497,811,815,908,704,920,414,445,411,
322,116,957,100,763,968,652,316,198,760,171,854,834,320,281,854,892,526,800,
133,006,758,357,016,724,140,843,036,169,304,812,241,090,228,148,335,898,512,
458,425,055,700,766,699,452,163,991,727,331,033,660,104,924,981,693,685,962,
615,749,221,861,014,790,576,847,458,096,067,622,103,079,710,515,232,673,768,
101,423,424,276,504,672,324,291,223,809,678,846,216,709,474,732,409,769,045,
316,264,168,317,324,210,927,652,418,852,969,375,430,574,385,638,296,388,382,
370,146,892,340,098,208,825,349,409,356,488,881,326,533,278,285,784,327,320,
036,952,963,080,102,091,045,763,081,909,320,328,472,816,499,978,667,028,439,
403,821,129,499,156,034,130,935,485,835,230,350,938,178,037,306,604,693,428,
706,018,580,219,418,747,969,678,308,996,262,191,059,356,219,158,592,590,534,
254,761,163,032,729,780,506,429,152,471,641,203,083,277,733,541,271,194,901,
879,042,917,083,680,001,237,764,353,753,470,307,817,393,604,221,773,989,731,
723,205,513,053,212,682,244,947,004,607,598,393,772,468,009,192,612,727,030,
768,569,562,483,862,588,017,263,418,329,714,422,060,782,375,231,631,811,959,
171,021,617,260,455,200,851,683,592,278,304,395,707,400,674,648,070,527,856,
334,078,733,459,021,516,465,763,024,697,046,276,574,429,128,817,363,508,821,
684,145,114,305,338,850,004,819,130,072,278,952,142,477,379,762,892,635,798,
746,147,142,479,752,485,254,679,487,257,286,788,028,177,535,670,306,830,452,
650,706,512,351,725,316,133,248,860,992,982,162,490,733,649,134,300,775,980,
822,187,440,769,422,131,823,764,253,119,659,643,881,650,341,842,353,016,551,
541,294,823,305,539,297,332,104,837,900,688,975,989,633,569,703,570,290,731,
516,924,263,984,145,447,798,832,465,474,615,121,188,112,359,670,028,528,713,
157,902,191,750,983,389,487,303,786,345,002,388,631,337,222,895,806,356,575,
821,996,105,754,734,907,220,296,395,258,443,980,610,353,209,184,711,029,739,
960,973,982,343,950,511,256,834,837,358,274,106,515,739,421,244,233,208,092,
333,561,071,533,701,694,337,786,078,950,239,085,875,694,959,268,459,818,203,
165,173,838,919,250,661,382,653,372,628,518,036,975,445,448,744,222,994,774,
945,139,568,692,462,528,845,891,023,217,659,077,636,454,139,055,531,138,004,
188,414,325,345,601,072,210,853,538,152,817,797,583,184,632,660,247,406,553,
852,069,078,888,985,405,457,005,177,632,897,956,973,913,513,952,662,120,616,
838,452,331,489,493,372,614,082,141,710,378,633,313,199,453,800,025,862,557,
033,243,952,328,722,042,397,013,122,128,014,824,881,518,404,767,095,645,934,
095,221,462,428,533,692,841,274,196,882,710,873,694,651,776,113,790,152,253,
879,870,582,929,005,746,043,952,556,854,333,101,819,727,260,988,753,931,693,
128,640,724,354,634,976,563,562,900,168,448,866,081,203,455,109,185,151,392,
654,208,649,530,665,263,621,133,784,594,349,746,289,955,041,500,012,432,186,
765,909,660,429,935,256,989,839,567,489,336,966,878,503,182,301,465,165,721,
719,335,341,434,485,187,072,322,343,950,503,980,523,111,560,152,781,708,437,
535,184,394,962,188,486,501,008,637,945,631,317,519,935,501,714,400,311,161,
949,405,263,987,903,074,038,360,744,136,600,232,640,022,829,836,606,463,115,
634,063,441,409,158,038,720,224,091,875,680,319,434,076,948,193,772,753,287,
970,030,226,774,878,264,924,820,024,499,947,553,182,668,571,604,242,177,209,
898,288,664,883,385,604,600,830,213,310,346,510,068,117,749,776,573,353,702,
266,672,231,715,522,631,127,484,885,748,487,899,819,299,326,861,296,150,388,
191,895,784,816,316,066,419,614,876,827,425,841,436,524,410,928,308,271,273,
285,386,687,326,488,195,002,293,644,005,608,931,369,680,211,723,443,860,115,
533,908,174,062,051,221,151,319,075,879,525,995,814,185,566,149,011,797,070,
191,869,232,743,573,207,597,186,680,915,752,623,852,480,032,490,303,467,198,
441,350,640,420,863,915,370,897,634,346,118,513,277,878,418,575,525,434,759,
481,611,644,384,008,133,520,475,202,173,634,991,198,981,291,072,651,557,796,
789,891,394,265,670,075,092,838,151,010,760,004,581,473,909,013,637,588,399,
489,327,521,863,012,018,256,444,593,761,045,759,503,634,620,129,007,441,627,
616,274,686,233,278,750,069,866,263,254,806,827,134,217,661,550,059,759,340,
740,130,162,500,759,037,267,168,113,604,598,643,621,254,547,004,831,913,366,
108,665,182,081,025,472,129,930,183,011,986,626,601,598,239,848,537,200,952,
495,635,855,159,605,102,583,716,190,662,300,286,816,473,451,660,276,193,674,
752,016,005,442,110,093,631,993,320,866,732,287,985,808,172,361,254,043,432,
686,472,899,875,744,107,944,703,941,099,848,356,444,257,990,920,273,559,690,
914,857,810,811,824,133,041,176,931,360,301,396,561,713,259,270,412,898,798,
406,201,943,270,141,685,323,458,780,795,105,762,730,474,818,377,967,722,317,
621,246,841,138,619,927,624,990,278,055,817,667,549,679,033,281,745,737,489,
905,974,652,951,129,324,792,175,902,946,744,781,931,997,308,920,275,626,412,
557,236,158,789,522,563,821,061,027,940,014,908,235,239,414,195,261,944,776,
688,173,930,876,754,117,924,891,685,590,490,654,636,959,111,928,300,154,537,
892,665,111,532,353,188,544,036,538,088,124,663,371,476,397,347,610,654,545,
551,216,345,514,343,020,940,341,965,830,669,260,074,541,263,163,570,983,890,
004,954,363,151,329,917,599,095,807,575,224,548,309,722,960,326,878,602,644,
437,771,372,285,096,340,120,200,495,043,358,597,239,538,104,947,953,368,495,
915,964,008,365,823,666,133,738,858,522,034,360,353,331,554,137,136,597,050,
016,711,452,636,373,407,208,514,638,381,602,119,802,690,469,562,775,793,531,
950,444,404,519,877,945,828,183,840,418,290,288,246,612,260,360,148,800,595,
525,916,628,648,350,842,786,703,482,104,344,798,970,604,783,196,343,574,602,
222,936,830,694,928,178,666,877,093,471,307,116,057,320,062,857,622,256,062,
916,381,824,001,125,811,903,259,722,889,488,670,318,833,161,236,066,847,646,
962,626,120,587,945,765,277,281,835,128,400,711,261,557,433,762,129,473,773,
180,902,869,608,033,575,405,089,048,428,608,744,710,214,613,754,763,101,959,
718,485,748,445,719,139,410,641,300,775,390,025,430,972,726,226,012,384,551,
292,428,456,061,514,187,177,281,497,253,667,719,672,271,496,117,850,195,108,
047,443,242,639,108,574,549,800,055,834,286,802,767,207,393,594,208,943,823,
223,828,804,827,374,317,075,680,499,036,681,556,834,167,965,023,851,065,629,
086,897,450,755,525,362,420,795,444,876,056,617,708,996,773,536,524,960,020,
413,990,147,522,293,716,336,955,206,397,226,748,177,053,332,591,374,893,367,
290,665,448,146,282,460,187,241,695,018,866,467,282,724,087,053,100,620,032,
936,492,747,391,793,639,601,232,237,467,351,303,776,594,342,025,959,474,699,
896,079,299,766,252,940,356,773,613,117,786,072,614,018,770,004,443,168,492,
951,534,180,960,351,617,048,244,270,431,044,324,053,908,865,200,311,533,751,
198,459,886,471,085,188,432,779,667,439,229,764,844,107,805,972,588,634,105,
818,983,486,017,097,513,871,778,780,708,266,380,467,889,142,871,729,697,854,
253,054,280,750,652,978,208,945,050,341,033,745,936,990,850,711,492,150,291,
151,991,198,550,884,141,621,893,804,715,293,203,792,719,085,017,466,388,153,
732,736,141,986,047,400,359,960,943,379,354,979,914,179,868,752,197,282,241,
498,560,030,767,649,995,032,389,153,979,200,150,371,573,508,566,033,818,915,
008,640,526,472,821,017,667,278,299,793,198,056,447,354,008,270,676,091,332,
762,292,479,899,581,930,484,393,449,968,010,228,645,313,860,889,377,318,387,
356,137,559,830,503,592,714,309,850,647,770,621,573,596,848,968,361,051,216,
812,116,879,925,960,367,288,629,334,869,619,703,573,753,282,731,551,323,370,
026,855,554,423,013,584,488,175,013,272,592,734,614,148,050,232,777,537,041,
235,991,097,255,156,998,543,250,676,382,897,957,011,877,514,829,411,830,689,
058,299,218,111,693,323,925,335,025,435,318,629,578,506,112,075,796,488,479,
171,445,460,218,441,607,172,003,312,593,819,947,809,395,171,962,632,845,278,
655,552,751,211,913,219,260,470,128,777,020,313,569,920,353,891,449,411,989,
486,245,291,527,761,280,432,958,733,579,247,467,251,465,086,483,242,479,352,
462,943,040,671,575,881,465,970,031,809,301,626,975,531,063,630,569,623,705,
493,676,637,912,968,182,117,900,670,090,624,008,673,783,185,255,229,738,492,
331,722,816,472,556,795,420,461,869,449,346,991,043,798,554,690,515,084,846,
389,920,045,617,501,044,797,265,520,429,071,425,949,028,545,962,787,530,560,
033,507,222,342,070,472,233,368,703,833,171,762,772,904,187,605,872,452,423,
375,503,442,556,054,252,478,068,810,292,801,684,084,638,075,918,506,591,141,
714,931,965,275,728,091,399,656,788,991,728,758,592,753,157,309,203,252,205,
230,997,403,640,500,081,260,812,106,503,074,902,936,067,392,808,622,726,688,
433,519,836,669,650,159,512,573,761,972,621,613,816,920,093,992,183,253,168,
776,449,381,289,427,818,871,330,738,982,525,587,673,259,846,798,793,767,457,
291,763,736,559,817,609,656,814,882,828,429,065,467,341,288,875,662,084,397,
125,827,775,913,422,443,513,997,999,770,674,143,488,827,481,044,624,938,177,
254,497,222,962,435,507,809,824,851,051,052,367,786,714,215,507,142,101,592,
706,622,786,782,118,508,200,022,120,051,045,719,632,452,405,483,333,066,199,
873,786,953,276,327,942,730,207,907,482,275,550,858,340,120,066,108,549,842,
150,273,916,745,654,293,789,306,136,228,592,459,392,119,751,452,380,122,934,
540,568,384,227,393,065,124,851,796,324,119,858,417,574,198,483,738,176,894,
192,412,185,905,828,398,782,908,352,601,348,187,536,473,586,859,517,214,030,
794,455,759,075,642,157,388,223,568,150,825,268,240,787,369,134,514,666,816,
040,056,811,545,068,444,286,305,049,315,055,951,033,444,596,922,886,404,460,
972,374,525,580,340,403,682,182,277,301,751,565,181,089,921,098,246,996,271,
249,344,912,875,211,881,220,358,738,001,360,216,245,442,802,542,287,181,612,
232,492,963,993,956,168,245,530,902,292,892,095,801,094,615,586,477,553,293,
133,737,753,385,049,845,824,324,057,991,809,618,246,976,087,940,806,702,620,
856,172,292,434,677,327,006,329,047,129,699,536,855,600,251,780,234,543,875,
360,730,934,948,405,908,055,371,757,302,111,834,428,358,302,507,825,710,619,
358,732,927,706,070,514,248,667,236,289,194,197,688,560,169,139,118,309,827,
587,885,372,375,707,169,253,539,499,394,738,597,761,374,125,838,536,711,908,
935,788,606,617,482,057,716,123,322,716,134,582,306,967,266,722,549,591,542,
120,318,430,275,893,975,762,335,787,075,626,803,162,198,160,116,804,683,650,
393,691,015,110,174,254,199,765,248,894,537,957,004,745,576,626,092,134,082,
549,351,592,298,797,673,815,444,433,965,613,036,252,071,254,162,656,112,937,
641,594,392,306,908,580,153,382,936,618,728,493,906,896,214,000,427,077,864,
093,405,696,147,161,394,352,564,699,015,964,468,489,278,002,554,372,783,162,
950,504,758,303,689,618,707,798,754,404,240,895,254,597,001,824,470,127,989,
646,132,303,835,579,470,754,370,308,532,039,436,220,401,882,978,186,213,087,
004,595,263,895,143,248,552,929,643,264,931,386,464,238,033,633,697,509,441,
234,366,262,154,950,881,178,655,230,585,098,182,531,362,632,271,721,203,978,
704,501,238,509,631,066,949,892,256,918,293,190,050,796,263,931,809,958,482,
505,112,059,948,995,397,749,266,420,976,007,165,593,212,710,496,915,365,091,
522,178,845,520,206,321,128,478,245,537,200,259,389,056,975,415,851,515,659,
040,255,793,471,457,233,500,774,830,027,124,448,574,513,239,222,952,956,403,
243,694,717,870,149,061,597,875,696,313,705,838,393,130,653,309,135,144,139,
081,178,826,840,676,768,136,713,335,678,659,883,575,815,537,904,660,791,078,
414,221,931,936,916,913,979,330,077,247,430,088,882,620,456,814,604,265,054,
995,170,266,502,822,296,716,455,084,544,136,267,472,322,180,188,832,516,133,
612,797,344,767,299,282,645,425,711,851,296,124,592,511,524,585,476,492,395,
374,563,966,953,330,689,269,816,566,710,368,906,544,472,018,333,278,274,986,
250,583,334,570,235,826,006,124,315,337,651,423,632,434,668,688,215,573,570,
939,685,279,320,128,816,788,814,470,682,155,818,607,129,853,529,122,738,450,
890,324,868,014,865,729,955,695,894,823,686,864,941,470,307,468,946,278,366,
829,246,111,155,500,968,712,155,808,951,678,978,951,897,307,601,699,078,386,
859,590,229,317,070,848,480,233,822,704,220,234,197,491,499,367,210,239,863,
441,024,035,667,119,300,977,283,982,045,205,229,759,320,534,599,207,237,398,
035,517,720,484,286,069,389,947,107,095,081,965,239,270,586,899,011,822,378,
531,263,980,667,800,587,011,529,671,411,738,385,414,378,877,692,523,259,758,
121,970,538,732,854,637,277,194,510,438,480,479,009,422,067,267,861,045,882,
743,516,636,596,749,022,791,387,616,524,136,899,210,285,116,368,880,664,633,
162,774,410,671,304,577,175,884,165,182,955,451,351,427,229,437,777,966,213,
018,018,185,040,328,985,272,729,129,060,868,061,212,509,684,803,578,173,287,
777,212,057,001,807,317,905,831,807,779,103,933,387,714,154,891,887,812,781,
507,891,523,002,699,685,258,197,862,679,353,216,720,651,445,738,704,243,580,
482,785,899,141,224,860,157,484,549,976,528,051,053,951,110,006,859,683,136,
789,281,815,271,014,406,991,283,992,032,065,590,214,015,997,254,284,437,292,
088,825,789,450,718,820,456,468,275,322,926,821,705,509,529,404,477,517,326,
888,437,877,875,857,118,597,835,631,791,456,411,880,928,165,534,605,406,258,
087,076,093,307,388,589,526,413,127,800,325,637,600,701,250,370,252,303,989,
569,499,531,829,230,102,853,796,533,763,793,275,637,362,116,473,775,183,966,
860,178,196,443,382,208,150,974,538,546,325,577,745,982,963,356,658,870,406,
371,076,355,355,393,114,811,421,268,395,441,247,388,598,064,462,201,654,557,
142,800,854,065,519,764,417,603,462,434,023,342,687,009,339,942,928,500,306,
974,186,230,284,295,277,285,879,151,509,386,048,606,560,813,296,465,111,115,
477,533,177,649,249,688,237,388,496,980,867,558,754,221,316,951,623,007,708,
596,418,697,699,236,097,886,645,371,781,734,691,008,550,527,416,540,396,125,
725,956,880,461,053,927,673,876,532,222,678,274,106,123,555,994,834,863,527,
158,167,735,859,662,585,378,261,957,420,465,018,461,413,574,051,460,951,454,
713,546,748,048,592,957,873,789,757,257,805,423,131,333,311,388,823,655,284,
222,579,513,706,257,043,872,598,673,133,123,420,074,559,371,085,029,297,498,
443,752,109,859,361,757,886,428,155,791,618,310,195,956,216,060,536,173,923,
636,792,397,344,886,998,974,381,693,472,406,805,870,603,695,063,851,728,400,
838,972,118,463,349,534,546,516,559,060,735,267,423,757,507,129,652,532,142,
077,222,496,623,731,688,975,006,165,815,211,200,286,503,281,869,232,888,140,
898,626,668,635,700,719,369,476,299,668,150,129,938,904,689,376,527,417,672,
188,074,582,710,556,129,147,498,202,858,237,685,512,501,110,294,090,608,976,
131,530,888,827,688,382,771,330,463,578,175,331,115,706,233,529,719,924,752,
926,392,873,253,720,066,032,070,334,462,304,300,020,010,867,614,750,048,570,
293,360,067,193,922,216,399,267,758,991,247,559,291,245,702,544,785,690,818,
226,538,750,759,823,800,987,678,557,397,799,285,780,290,865,319,183,479,972,
303,401,150,626,695,643,576,128,134,371,527,093,026,574,833,702,239,618,502,
793,685,734,115,464,567,571,117,026,719,116,083,665,260,848,562,114,042,250,
505,657,681,319,921,651,624,159,409,869,370,535,827,056,611,858,220,454,725,
771,616,294,265,907,133,208,953,220,591,094,487,451,655,338,193,693,726,222,
544,981,519,852,754,537,001,379,809,786,923,685,462,984,262,698,548,799,759,
240,178,379,420,620,995,686,836,263,180,942,008,608,932,495,824,324,433,552,
790,857,887,678,788,631,798,710,246,829,418,141,765,158,870,049,525,169,089,
199,314,620,221,903,507,846,614,682,187,455,593,970,651,131,743,394,668,665,
707,530,084,128,647,108,319,942,703,241,706,376,104,629,681,784,235,347,792,
514,587,994,379,545,108,092,574,580,282,451,257,648,831,314,130,724,387,608,
810,864,793,444,638,964,366,213,393,902,402,354,977,811,399,961,114,458,633,
282,849,317,712,156,090,421,953,248,624,033,384,348,602,864,101,989,370,555,
007,607,028,685,818,732,711,863,802,079,636,980,389,110,908,084,326,299,849,
215,107,606,568,068,893,284,841,308,754,630,372,524,615,556,329,282,718,752,
878,462,277,159,004,527,846,696,666,115,707,410,072,672,177,861,918,059,552,
181,659,926,236,005,226,510,321,124,446,524,184,657,828,950,514,870,628,138,
409,493,754,945,454,872,701,267,463,997,710,442,850,090,791,912,475,638,998,
894,174,153,491,028,939,477,866,056,556,265,606,162,584,414,472,030,762,049,
416,524,601,614,450,849,060,528,389,948,322,860,118,102,422,908,076,091,829,
378,995,499,584,332,297,800,044,731,584,877,799,537,125,858,474,463,590,679,
629,918,788,409,300,254,848,494,593,540,843,389,993,594,129,176,418,096,585,
179,858,951,072,527,918,942,141,348,098,790,090,558,626,698,070,412,360,309,
689,033,013,138,377,716,075,117,924,721,552,118,005,890,033,831,566,128,538,
409,857,699,415,199,231,916,692,057,038,910,539,139,718,033,712,642,892,762,
325,547,676,331,281,179,676,795,335,014,546,078,046,277,507,321,693,898,029,
659,058,654,762,434,364,363,364,982,804,354,693,976,283,558,062,162,538,527,
666,911,874,961,405,571,447,345,887,968,646,911,523,931,252,912,831,386,809,
740,592,973,220,391,804,609,373,273,670,272,376,519,323,767,325,141,632,456,
052,958,348,819,671,854,488,979,222,610,570,798,010,928,763,631,126,077,175,
116,461,781,014,640,808,562,300,147,119,059,946,724,508,649,455,697,093,123,
229,983,632,342,134,030,429,269,012,602,523,832,890,344,827,870,571,459,293,
782,750,182,782,374,942,846,365,157,048,729,720,654,629,246,451,289,253,552,
484,327,497,042,375,983,307,691,054,205,810,021,716,250,558,660,483,127,355,
688,326,588,537,747,424,711,833,112,588,866,293,503,749,365,813,277,297,164,
843,511,658,982,483,076,863,966,729,982,332,844,124,259,810,260,430,391,381,
628,262,672,591,541,117,237,614,420,911,525,231,027,044,910,053,383,677,451,
254,933,110,244,139,967,853,196,110,603,320,021,805,941,358,018,207,292,210,
320,353,286,779,217,268,318,399,585,287,184,865,802,531,750,697,055,795,570,
480,453,673,808,356,590,821,124,307,534,627,759,288,230,888,857,072,254,571,
297,961,087,920,747,996,878,694,598,596,042,889,240,743,409,816,177,094,940,
811,472,160,303,236,141,421,519,855,492,906,623,180,245,427,801,093,449,529,
880,009,249,509,748,961,316,285,404,543,408,770,207,892,831,173,207,836,661,
917,049,083,653,733,938,553,672,718,354,559,462,309,212,584,975,435,079,940,
417,100,356,786,203,090,540,988,313,308,309,206,772,496,605,763,856,087,279,
603,282,425,382,841,332,604,560,509,037,750,108,127,597,712,190,255,183,142,
025,323,896,159,242,902,219,975,953,164,487,574,886,165,646,821,680,402,820,
845,902,412,497,261,238,109,771,217,894,105,290,032,057,708,952,589,019,957,
826,359,915,276,078,769,685,542,275,900,588,589,366,632,821,081,481,561,481,
380,014,113,077,005,174,832,781,390,320,351,577,916,854,067,084,518,568,856,
302,058,413,025,262,741,776,098,024,543,040,056,608,429,332,780,542,325,011,
602,974,416,803,805,717,265,653,004,101,538,929,448,284,017,952,383,042,329,
823,596,178,209,949,676,284,809,874,812,286,424,274,589,674,126,011,012,025,
826,629,025,683,055,454,386,986,557,585,054,539,329,586,627,086,613,388,133,
520,814,042,485,078,278,532,737,513,892,229,933,403,385,051,750,181,881,582,
681,906,721,532,722,574,756,255,574,682,924,425,935,159,091,678,153,474,588,
611,224,777,257,619,315,518,668,723,210,444,083,390,421,020,943,349,924,745,
243,781,156,396,448,914,459,335,685,123,593,821,890,418,502,388,045,415,123,
264,505,375,664,820,479,928,572,916,441,300,058,955,665,777,201,119,405,611,
217,839,988,102,791,090,833,092,943,831,217,157,518,216,940,236,160,463,186,
752,399,144,612,235,099,126,737,337,579,688,729,129,206,408,107,407,094,233,
892,133,998,898,016,219,096,449,564,096,710,441,782,394,211,008,678,759,651,
239,348,698,103,402,550,199,048,951,546,603,357,184,712,478,278,680,274,656,
978,600,201,515,115,629,876,167,494,112,281,788,333,413,906,211,631,376,027,
485,226,400,228,214,825,350,730,193,430,362,930,844,741,865,352,309,291,636,
265,295,422,686,400,083,655,824,706,346,102,558,180,564,681,385,070,989,095,
292,983,092,642,489,240,378,971,567,494,026,016,973,995,501,787,315,687,543,
268,281,387,936,611,893,999,671,160,653,685,895,937,911,661,619,595,768,995,
124,743,772,938,786,451,974,351,764,235,066,482,432,855,407,797,422,845,111,
056,537,682,542,633,495,876,708,076,561,424,119,520,769,626,875,981,239,865,
528,815,230,595,313,007,361,304,185,469,188,910,221,136,205,078,281,555,245,
781,559,204,144,017,419,769,836,863,471,441,605,045,962,606,853,170,003,153,
580,469,391,154,024,458,483,935,015,466,528,983,151,664,163,490,504,810,223,
177,002,514,252,166,601,814,659,714,148,257,251,166,965,330,670,940,543,163,
792,035,105,161,948,561,523,671,468,389,841,425,621,807,581,381,369,588,827,
489,471,868,317,541,463,794,929,205,917,041,782,392,945,249,967,425,328,406,
876,663,859,132,723,240,676,482,401,081,319,315,228,492,098,408,000,717,363,
686,171,254,252,459,671,789,917,051,025,522,433,410,990,501,726,471,521,822,
170,019,548,005,465,722,641,415,957,811,173,373,400,898,564,425,136,693,884,
089,089,101,553,409,840,403,643,225,101,021,202,965,195,321,146,651,103,171,
678,489,852,885,561,502,952,922,716,554,452,593,136,424,925,994,807,294,999,
983,653,176,873,045,833,552,222,829,883,456,916,775,145,728,873,010,576,897,
377,708,553,115,397,238,021,346,774,657,118,465,865,860,240,936,493,369,305,
353,028,944,843,673,635,387,701,989,468,577,857,345,094,545,439,354,096,932,
194,419,977,245,774,059,370,543,719,316,230,756,843,893,600,240,125,157,936,
367,136,189,964,401,388,510,265,961,502,456,712,079,522,121,199,711,249,005,
405,038,694,425,792,731,481,906,735,423,289,671,253,073,766,516,057,777,325,
336,435,099,061,747,440,659,595,065,818,668,589,066,203,934,043,639,323,252,
595,720,086,640,450,666,072,447,469,810,820,821,663,267,538,720,396,192,849,
440,369,537,918,418,451,408,651,530,716,242,274,418,728,774,180,790,813,113,
869,412,420,582,784,391,933,576,672,094,194,467,428,619,651,264,491,379,908,
938,898,666,628,708,157,992,053,362,482,670,811,395,804,775,523,914,632,886,
962,346,907,543,573,675,751,713,840,723,258,828,345,144,716,733,596,728,728,
194,769,985,586,910,343,857,840,410,982,835,360,290,197,157,781,739,332,517,
701,380,970,415,931,401,565,186,042,372,229,132,941,488,059,326,883,519,650,
496,730,567,690,560,211,938,721,399,485,087,028,596,241,727,934,279,201,530,
733,828,286,709,374,244,157,529,183,007,478,793,327,499,239,418,930,548,336,
194,694,473,141,262,370,994,746,234,496,108,303,197,456,153,299,572,824,884,
139,159,761,276,094,959,051,538,709,354,801,490,552,503,732,448,217,440,654,
791,585,948,981,760,551,013,219,705,813,958,564,836,278,108,298,809,805,596,
096,244,226,676,676,138,161,820,196,986,054,290,925,888,537,902,410,597,053,
399,077,562,645,130,466,245,475,368,716,021,344,768,162,679,606,709,456,107,
943,561,652,936,029,036,771,744,145,396,740,121,476,901,096,489,567,362,567,
016,579,956,955,159,577,658,496,063,233,815,711,199,111,798,474,217,572,699,
944,641,856,417,471,289,541,268,743,242,116,923,464,808,802,224,594,780,176,
638,268,746,573,204,259,455,361,791,295,619,343,976,318,689,480,330,204,028,
653,360,977,233,300,919,200,309,647,676,249,802,052,349,364,189,934,209,381,
610,556,096,077,552,258,479,338,942,647,554,482,944,867,453,818,022,030,922,
832,118,019,189,109,210,501,690,282,083,738,915,056,564,829,686,362,817,738,
365,217,601,635,590,798,700,465,554,235,384,744,355,983,390,363,453,168,753,
361,921,005,077,635,527,922,801,899,904,313,405,565,323,543,531,928,225,218,
983,192,321,719,609,266,359,239,434,015,973,552,921,683,938,716,658,282,589,
820,873,550,911,166,299,571,405,435,684,118,547,430,758,708,571,967,950,811,
148,001,095,649,138,429,846,321,082,543,758,296,127,881,377,074,527,578,338,
299,683,062,017,501,305,114,636,695,332,906,602,662,504,428,678,411,088,088,
086,467,295,922,392,581,601,077,453,370,221,677,761,105,571,869,354,311,185,
573,192,335,024,905,439,135,440,556,213,903,452,893,927,794,121,641,129,720,
385,900,259,963,155,155,158,019,792,491,911,583,743,828,317,148,745,741,874,
539,451,552,851,515,508,233,747,557,038,246,959,960,658,296,037,526,583,668,
027,067,866,919,317,673,544,553,722,865,206,828,819,937,549,878,322,833,058,
442,230,493,373,939,401,474,539,164,879,788,549,949,030,299,574,211,948,361,
130,479,334,350,468,193,259,047,799,883,708,749,649,017,518,306,320,939,772,
036,780,493,552,117,888,138,021,910,969,359,873,604,991,385,676,689,343,910,
748,138,755,122,000,396,508,470,983,699,888,979,055,458,279,570,714,040,551,
110,206,996,278,728,211,371,019,860,517,061,381,392,809,099,462,664,354,563,
340,369,237,887,701,387,256,262,127,385,620,051,898,091,462,878,368,183,220,
481,223,559,567,259,330,473,384,178,312,440,788,492,500,491,687,314,274,382,
306,375,285,683,611,456,544,919,727,070,991,873,402,955,544,529,004,443,006,
164,201,344,183,415,476,277,260,169,048,264,038,616,084,625,161,566,320,566,
699,099,745,139,612,694,845,616,729,877,648,981,892,369,001,744,252,283,838,
917,251,160,688,978,058,635,683,767,837,820,978,682,520,913,854,622,635,317,
473,563,404,898,540,050,176,711,192,913,468,137,891,360,726,863,222,900,639,
327,733,030,234,634,943,285,521,740,433,845,048,017,315,177,822,850,416,002,
692,112,683,914,263,661,727,895,585,645,871,056,254,634,694,639,066,547,860,
741,821,078,927,983,406,993,990,966,597,296,420,736,795,626,405,832,316,230,
381,311,800,465,874,690,613,010,256,316,958,655,644,313,363,624,518,271,573,
485,785,724,680,462,112,494,411,790,088,851,335,674,482,062,145,068,811,901,
688,519,636,607,849,366,896,310,759,446,936,958,890,892,808,745,025,724,740,
660,810,297,803,086,947,326,621,204,034,470,691,516,685,163,747,751,732,282,
580,103,888,460,033,509,244,835,623,324,467,747,531,739,235,430,439,121,250,
144,644,119,973,002,533,339,810,996,631,561,120,829,548,469,602,117,803,479,
477,694,511,393,650,699,572,519,641,147,419,527,300,564,404,726,971,341,887,
807,068,200,490,090,277,084,072,135,478,730,698,863,643,070,251,525,393,452,
068,536,109,064,562,996,399,243,169,688,579,370,431,416,342,418,584,285,554,
729,741,706,813,473,666,424,985,871,759,702,527,632,920,306,338,523,437,817,
627,636,794,307,568,939,430,697,320,472,299,385,965,207,319,497,552,127,060,
266,203,849,753,318,312,544,799,576,036,632,836,493,304,343,114,736,365,445,
991,999,575,220,871,277,810,262,501,681,330,706,829,328,939,824,471,270,288,
848,692,190,929,044,012,800,641,553,416,030,031,619,976,192,587,038,489,756,
042,810,808,212,755,188,642,932,571,823,592,780,156,617,994,264,177,764,286,
347,813,568,644,030,169,209,973,254,068,028,033,119,496,795,938,574,504,726,
974,021,147,313,026,502,527,267,204,802,508,278,939,375,965,050,269,962,700,
268,795,515,918,363,096,149,725,813,457,494,187,457,372,695,775,766,609,637,
342,479,337,795,049,556,576,194,722,734,123,283,848,669,211,870,138,950,664,
676,086,640,793,763,410,591,973,284,905,134,325,069,091,475,002,702,924,741,
385,889,917,890,212,060,298,842,968,416,215,149,574,757,898,031,067,993,782,
592,917,684,547,371,053,723,516,134,190,739,174,059,934,047,574,287,012,898,
306,060,920,150,080,050,278,754,767,394,296,138,886,434,206,145,372,539,022,
405,003,810,308,197,146,217,746,169,048,843,140,641,064,582,603,746,599,504,
122,068,456,320,177,240,776,130,638,101,000,221,740,846,369,774,402,261,106,
262,191,375,426,445,696,032,486,533,492,925,243,569,001,150,613,547,860,816,
624,063,880,003,003,815,819,931,686,364,801,610,374,643,109,819,726,354,092,
403,922,417,921,956,703,757,760,171,130,838,486,688,526,808,750,319,775,631,
646,507,841,815,955,089,065,172,295,330,968,128,109,253,144,527,242,364,998,
917,531,580,515,722,122,239,405,664,996,078,157,130,589,943,419,495,947,933,
823,888,551,800,717,066,029,389,047,977,001,250,943,533,489,663,186,323,380,
474,692,608,303,666,492,091,995,638,702,616,580,453,451,564,475,611,787,198,
544,868,816,985,422,055,841,848,416,187,379,503,339,156,492,155,261,257,573,
589,920,908,034,393,771,262,047,125,422,423,518,643,158,533,599,650,931,095,
313,481,388,623,919,561,993,358,547,735,041,681,581,177,653,544,603,731,066,
017,891,776,518,583,943,862,796,085,396,603,195,817,434,138,545,714,924,134,
499,858,177,428,809,868,002,203,407,130,149,981,977,607,514,219,679,497,462,
747,449,537,093,711,998,197,240,731,172,800,821,076,133,281,093,301,125,901,
553,856,302,904,803,187,399,652,692,139,236,136,498,142,242,963,598,237,694,
204,194,845,617,517,726,054,987,791,494,597,714,684,758,319,427,076,610,773,
752,265,332,849,673,513,093,535,224,722,546,371,321,391,044,148,262,244,927,
546,440,823,693,444,332,748,112,103,491,367,445,250,061,476,872,894,244,735,
154,578,466,566,393,273,480,537,991,503,313,441,591,346,136,719,256,883,932,
829,950,667,871,874,468,616,287,712,010,920,678,487,032,111,840,538,179,088,
816,764,415,673,532,527,664,579,610,423,903,946,556,716,409,057,974,419,298,
888,771,004,005,076,182,941,883,536,569,307,737,041,316,613,151,195,050,917,
464,742,910,950,975,134,593,050,111,452,675,814,898,399,024,956,901,205,758,
240,211,664,438,008,502,867,775,256,515,542,606,018,427,680,077,002,052,060,
527,442,085,758,524,948,958,803,745,417,767,759,459,275,469,641,670,691,640,
522,723,920,334,901,371,807,800,800,771,292,625,393,431,874,588,443,735,481,
662,640,233,970,414,389,462,730,552,999,050,995,255,328,974,510,362,453,482,
262,507,448,425,156,981,296,155,864,302,769,745,287,073,353,736,318,392,835,
061,207,638,378,074,935,719,129,213,837,821,009,872,818,954,584,096,658,208,
033,105,607,902,691,817,137,776,076,477,923,087,146,118,805,424,731,615,366,
818,657,388,377,849,909,958,165,973,361,225,454,307,828,935,383,183,030,643,
099,291,659,274,891,717,429,188,582,758,001,474,875,682,326,126,121,259,428,
265,991,860,111,218,346,774,697,490,529,295,906,495,843,039,796,979,586,612,
290,042,421,654,904,152,111,826,651,881,319,362,092,527,395,036,139,829,779,
675,623,354,290,903,865,341,748,757,534,179,052,304,372,247,818,521,811,731,
518,728,261,078,566,482,582,053,272,765,762,286,709,114,827,229,737,217,817,
930,348,854,448,918,902,959,904,837,296,696,736,437,909,457,488,938,094,365,
049,165,339,956,408,259,874,952,837,034,296,235,043,446,253,834,456,082,476,
011,964,346,871,878,056,948,683,187,699,688,824,998,328,367,120,455,863,341,
165,238,003,765,061,229,169,634,623,157,848,319,033,079,530,963,650,335,776,
480,064,152,409,424,609,757,427,295,016,326,278,487,560,118,726,485,187,780,
142,750,012,152,499,708,195,372,502,879,353,510,486,197,375,111,970,524,061,
262,326,484,935,316,994,835,043,831,609,593,297,976,061,215,264,437,183,537,
423,931,374,537,490,767,574,312,206,918,624,088,112,994,217,040,761,077,894,
604,655,442,103,709,429,839,022,499,450,768,479,535,293,606,600,260,896,830,
241,433,443,623,095,399,953,573,262,720,390,443,325,401,245,536,290,234,798,
398,817,357,596,325,339,313,466,173,468,410,835,471,124,053,269,685,833,714,
190,516,332,070,195,044,313,527,133,567,824,440,725,604,295,817,871,490,310,
139,900,637,876,547,893,116,269,194,268,257,859,876,390,805,938,013,496,524,
352,311,171,649,012,874,802,201,687,624,811,074,926,676,240,651,689,235,709,
471,224,126,792,042,367,056,677,071,624,580,342,458,309,552,986,490,486,063,
073,028,145,599,908,817,221,568,703,119,318,920,968,812,714,852,721,163,720,
835,952,889,572,774,433,768,629,608,947,071,710,514,847,032,961,684,082,429,
497,688,111,562,949,867,255,768,615,346,778,583,168,238,516,916,168,611,444,
173,066,721,744,821,786,338,825,674,999,288,426,637,553,503,446,281,281,584,
436,692,557,354,486,724,231,324,196,601,711,564,250,458,015,680,484,539,192,
538,238,381,804,513,280,801,045,848,734,040,927,074,037,273,190,272,124,637,
933,559,250,263,834,964,809,941,027,011,098,424,171,866,057,428,193,708,331,
057,351,047,856,756,819,270,755,597,968,983,218,932,290,018,479,541,764,399,
787,828,997,624,284,305,168,850,753,196,224,031,745,330,098,697,121,121,756,
955,251,470,901,971,560,395,984,050,163,374,271,023,990,863,221,185,916,634,
519,093,463,454,079,532,049,391,774,337,306,485,889,481,854,117,430,689,047,
685,193,030,399,957,138,293,238,735,539,535,634,058,446,569,020,542,420,353,
820,571,886,627,331,033,295,842,526,440,004,639,300,364,517,420,615,585,861,
841,612,313,117,749,762,752,114,833,007,427,012,701,893,576,284,450,183,588,
477,452,222,797,699,213,653,632,659,752,121,688,577,319,932,699,363,948,034,
644,717,502,620,782,109,615,697,447,076,410,624,858,931,770,749,535,318,757,
772,712,002,549,734,690,848,568,359,388,723,165,102,885,524,976,830,548,318,
966,697,083,519,671,400,378,829,899,693,099,613,325,165,552,308,117,920,314,
464,210,120,846,168,993,557,693,116,293,970,294,598,541,410,923,978,742,043,
023,322,971,161,343,416,641,650,628,144,086,276,519,371,166,821,068,826,139,
221,675,764,060,106,485,280,916,107,973,754,508,663,534,411,701,822,601,104,
290,315,698,200,760,811,733,192,179,302,009,227,317,026,640,414,532,385,551,
029,035,445,030,172,443,198,661,372,049,661,999,499,633,556,631,573,413,251,
587,130,313,246,142,057,138,006,790,270,198,173,587,893,304,833,312,758,524,
460,390,171,215,424,517,882,929,400,483,040,173,395,824,045,316,082,371,728,
618,111,683,689,505,131,527,930,869,626,668,934,105,565,578,945,698,077,166,
636,272,834,896,226,645,143,972,520,693,733,180,978,312,710,242,375,653,172,
639,376,278,366,790,390,301,585,154,851,490,970,593,413,524,028,299,206,844,
895,328,105,855,308,671,713,610,176,422,897,309,127,197,830,312,366,619,671,
048,847,935,083,719,121,676,863,872,052,370,455,862,355,346,638,716,469,188,
777,909,871,629,095,512,099,608,896,821,382,628,734,639,962,643,703,985,375,
551,857,966,452,494,739,829,961,845,754,775,985,675,918,521,384,256,429,444,
329,595,518,291,666,866,487,553,722,785,004,842,598,395,356,491,623,889,080,
363,446,050,911,163,173,562,489,745,224,179,546,913,225,849,371,596,372,030,
189,993,526,526,572,238,584,111,868,089,830,528,780,166,223,209,188,070,773,
217,258,819,044,040,282,395,573,097,896,876,631,084,915,420,061,641,183,096,
748,133,871,330,797,400,974,986,236,415,427,707,446,035,401,303,475,752,548,
010,407,816,080,318,674,453,562,497,332,820,553,311,988,004,753,640,969,677,
980,437,366,954,223,713,053,839,080,744,548,073,155,862,570,381,019,022,950,
404,479,351,365,380,309,761,644,314,347,895,940,523,306,792,706,896,563,148,
384,952,978,171,935,967,984,247,882,285,140,833,610,573,364,910,210,003,288,
644,816,637,696,132,895,328,360,531,811,125,413,763,162,328,029,918,207,666,
046,791,758,768,479,408,603,389,740,949,060,450,879,773,856,524,395,212,246,
946,258,376,817,400,634,304,618,690,484,645,057,591,184,602,632,393,725,316,
651,464,447,832,010,313,146,568,330,228,364,567,425,026,550,479,531,764,425,
164,698,487,802,097,136,156,412,195,004,716,546,059,129,656,798,370,799,901,
209,432,205,513,135,653,287,096,384,207,705,441,694,039,766,555,611,559,890,
390,063,699,692,021,927,438,141,342,702,397,005,589,179,042,580,520,436,007,
262,587,674,602,725,362,086,177,700,824,654,059,427,994,594,259,418,983,140,
690,285,079,354,479,274,378,682,752,773,767,246,414,916,469,613,905,367,438,
980,530,930,207,787,339,586,121,009,332,987,069,177,377,043,953,336,956,552,
628,912,525,348,832,643,596,894,442,027,524,236,561,577,616,025,075,026,883,
989,902,497,690,874,896,920,607,912,744,144,748,328,907,093,511,417,643,909,
562,447,008,622,547,679,899,138,368,118,664,099,371,559,030,187,559,172,401,
820,336,632,044,247,118,111,676,082,952,097,834,447,292,518,921,098,222,761,
380,103,856,728,982,122,478,109,498,265,169,091,653,459,438,322,950,900,296,
141,924,013,080,562,819,000,344,874,679,010,838,781,345,198,792,224,160,998,
453,763,454,065,857,049,619,086,802,075,959,744,551,440,629,204,881,118,125,
034,192,463,566,274,988,545,388,654,643,292,446,468,123,747,829,299,560,914,
118,848,116,706,523,961,604,719,119,755,195,005,608,553,070,186,842,285,760,
505,878,650,411,100,711,176,175,869,470,162,828,691,665,968,850,383,078,266,
919,073,982,281,214,687,240,637,530,802,753,035,705,539,412,886,152,654,735,
200,971,968,540,030,424,551,736,927,442,395,231,776,311,990,227,684,430,009,
567,710,555,870,736,968,183,068,194,983,508,397,658,475,847,482,262,046,475,
180,634,129,247,228,193,308,497,776,687,081,370,383,910,088,721,623,219,692,
012,493,314,238,264,474,447,705,315,238,236,167,171,168,066,013,645,461,016,
970,668,581,284,446,743,388,476,160,125,239,588,492,854,807,068,744,724,214,
677,429,190,829,181,933,735,356,996,422,457,539,235,681,925,098,493,077,181,
964,543,603,767,914,956,784,397,756,179,746,828,257,581,932,416,470,105,563,
209,660,703,130,541,180,545,536,459,856,237,374,898,515,569,769,991,771,512,
275,105,408,915,110,663,242,056,449,805,922,603,165,279,598,119,197,360,425,
416,793,047,535,598,592,672,556,241,171,145,758,275,925,615,130,732,133,087,
610,417,253,673,785,809,571,430,340,281,563,890,578,799,173,215,081,158,818,
027,138,483,457,458,226,422,900,568,629,211,735,653,413,999,476,238,071,364,
623,429,919,117,891,100,201,983,042,158,800,951,666,413,988,899,286,707,388,
813,477,209,212,721,142,663,352,499,018,084,392,539,358,021,463,616,585,387,
393,910,195,561,354,035,380,143,727,215,539,022,817,743,847,067,101,510,126,
992,749,207,951,761,164,916,692,639,296,615,428,000,528,552,634,821,489,678,
504,873,936,344,951,670,121,131,070,859,210,390,719,366,695,925,566,163,760,
026,708,875,287,427,864,126,676,803,760,957,903,711,302,416,699,388,984,866,
302,547,916,929,276,721,064,863,922,003,434,555,323,878,801,837,167,932,777,
534,939,743,682,383,618,694,426,878,418,773,076,488,337,462,336,681,282,057,
781,645,869,228,302,144,442,078,310,195,785,673,669,605,000,145,778,370,325,
849,535,857,571,163,826,335,568,952,616,420,200,405,827,374,349,310,453,468,
969,823,782,963,630,394,954,447,435,794,685,557,731,947,303,758,839,072,780,
865,572,920,891,399,318,095,061,401,197,732,724,857,453,783,834,468,251,300,
902,993,094,979,880,363,242,471,367,425,211,012,136,170,824,486,083,372,139,
326,128,684,460,752,449,306,265,493,550,426,354,002,305,361,806,321,119,341,
100,984,131,322,160,147,490,496,691,825,830,284,213,700,410,419,756,555,039,
979,764,949,730,172,252,923,733,295,591,777,412,084,781,488,575,420,589,828,
900,667,131,112,454,719,506,233,844,260,105,346,682,240,344,153,322,489,434,
566,335,214,554,380,226,355,708,362,028,125,499,110,882,507,886,076,142,588,
373,838,685,551,368,352,917,525,866,005,237,949,717,008,526,479,649,082,786,
463,677,063,477,709,347,377,894,283,371,843,017,009,338,010,869,958,738,419,
430,839,279,380,942,582,560,796,197,807,046,665,815,453,814,273,429,559,105,
256,286,852,485,027,371,657,109,746,738,040,576,350,845,848,936,898,830,406,
958,568,480,134,566,362,277,029,563,826,603,572,365,858,521,417,634,637,886,
288,447,029,567,254,523,466,068,979,078,071,646,596,533,518,001,765,205,829,
548,951,296,702,353,850,499,400,618,883,309,803,018,131,788,499,011,738,054,
403,854,471,416,857,481,458,716,124,815,838,887,852,938,899,640,560,703,521,
559,712,663,221,095,814,557,777,356,453,618,310,836,808,602,531,947,831,155,
262,920,813,276,448,586,606,874,850,125,917,373,820,638,526,651,712,764,500,
239,270,034,707,444,876,783,252,451,617,479,176,959,575,413,006,411,372,262,
500,179,429,508,464,470,463,912,313,100,969,608,377,041,769,335,802,249,855,
102,634,642,099,778,704,485,679,953,160,092,353,055,921,406,353,417,881,682,
515,905,036,721,112,844,681,167,728,436,074,857,261,606,806,097,347,884,428,
637,310,374,073,882,528,502,716,349,570,196,534,683,713,801,045,255,833,085,
699,733,306,360,606,044,509,850,524,265,659,794,792,522,525,216,373,576,465,
150,437,967,892,081,945,748,657,698,112,546,518,057,035,040,422,814,262,066,
594,030,552,086,143,432,101,494,514,894,348,628,339,354,454,265,908,170,835,
663,637,343,873,242,319,718,508,138,087,462,626,454,753,416,259,100,836,587,
966,056,058,412,549,885,870,805,519,400,247,440,238,611,983,273,110,416,943,
507,286,358,593,824,967,861,751,220,363,611,780,052,263,757,836,528,760,642,
857,616,172,337,929,362,290,246,389,480,621,917,152,040,718,486,629,855,523,
485,639,625,249,371,341,686,550,237,573,687,232,701,808,454,069,954,415,702,
983,040,582,754,749,077,662,199,941,414,466,161,377,840,242,464,842,601,215,
098,705,894,279,975,448,406,026,304,774,821,679,405,529,851,872,462,210,476,
624,356,796,959,958,391,716,814,169,677,484,047,758,951,929,138,643,898,821,
506,792,638,699,591,095,845,991,863,818,847,787,485,521,904,546,270,153,440,
323,248,044,732,424,003,366,174,268,232,932,322,775,123,704,142,851,180,508,
900,357,696,590,923,923,939,888,340,809,427,818,603,478,771,857,196,752,481,
022,254,097,326,511,900,751,279,283,495,792,642,524,410,802,135,609,549,225,
279,413,656,435,029,479,632,356,750,623,076,705,863,017,759,661,989,702,497,
587,363,024,468,965,768,691,725,850,159,532,695,470,836,930,364,442,190,948,
427,392,638,332,915,124,685,419,778,882,117,665,242,958,483,388,691,505,783,
475,214,048,132,839,023,250,701,071,676,081,516,495,753,844,135,334,578,170,
103,529,068,300,134,486,795,565,915,034,755,724,870,104,803,977,892,952,177,
216,770,218,980,582,266,754,484,677,927,727,021,141,634,962,794,875,818,278,
816,791,465,867,790,061,908,487,328,940,902,968,998,036,891,958,160,908,476,
744,411,740,467,933,362,443,534,430,793,933,945,555,831,028,087,388,905,975,
229,729,749,933,361,659,494,661,701,645,295,441,463,482,673,915,904,837,435,
034,685,835,521,339,971,654,827,459,236,405,864,154,198,131,858,229,648,560,
736,793,793,977,442,896,930,113,884,715,012,219,577,897,654,186,040,723,528,
864,588,019,464,580,284,857,566,848,600,257,894,284,671,632,224,673,595,825,
518,884,329,453,691,715,569,315,588,835,581,105,348,461,001,285,031,814,948,
650,361,450,402,472,419,778,898,513,568,991,415,430,132,675,874,272,523,982,
044,297,050,560,493,304,468,173,658,443,861,709,036,571,395,050,123,024,427,
706,693,785,870,764,079,910,505,809,924,577,081,783,080,435,226,410,828,240,
790,635,969,637,249,408,077,255,985,617,353,862,411,296,274,064,585,429,405,
226,172,781,349,471,146,318,756,475,653,715,041,057,386,739,269,013,018,300,
305,018,004,175,129,882,154,745,533,403,217,409,758,063,335,810,435,922,131,
512,548,811,001,212,642,003,836,181,884,816,250,425,185,260,947,742,575,958,
078,336,347,255,289,762,435,263,564,124,574,910,876,915,242,842,799,155,250,
056,355,151,817,816,071,652,611,036,652,048,450,337,088,873,808,826,157,300,
003,382,752,219,401,551,472,763,981,724,163,049,963,261,050,877,075,709,635,
251,177,997,550,019,280,851,094,659,027,550,072,153,533,823,908,135,103,746,
753,472,118,987,831,631,356,261,783,902,324,385,865,412,012,199,092,650,894,
875,090,178,985,596,968,929,325,010,006,484,063,849,093,759,498,171,208,267,
425,667,375,378,239,664,755,746,875,629,125,385,062,255,925,904,291,251,903,
656,756,415,474,808,240,375,897,704,718,698,996,877,941,805,764,813,166,128,
942,457,548,647,011,740,998,454,449,431,163,269,995,786,717,850,861,935,786,
840,966,635,514,218,789,232,059,371,391,679,125,159,082,910,860,659,566,809,
999,630,139,916,274,695,899,475,660,605,033,879,582,574,245,601,227,329,344,
829,934,621,617,198,559,184,065,021,357,159,556,040,464,376,318,761,699,373,
819,153,292,919,875,775,417,395,060,556,463,678,290,605,059,729,403,473,612,
394,564,323,663,483,649,285,788,990,550,076,282,225,897,822,572,359,158,336,
019,416,172,205,881,804,144,420,860,316,857,428,522,179,175,062,527,163,450,
535,966,198,339,758,117,248,362,388,804,982,874,992,634,185,546,332,821,085,
347,239,445,550,645,548,029,891,856,415,655,933,185,424,268,959,676,608,486,
332,285,575,711,360,053,521,552,890,704,816,817,539,165,916,706,160,833,705,
485,224,669,626,761,624,924,500,002,377,848,122,114,234,230,806,457,378,067,
432,077,613,634,058,819,146,817,940,874,673,251,021,861,314,683,881,419,397,
756,383,794,484,166,705,804,495,018,577,194,925,543,047,439,162,709,295,672,
763,784,423,019,466,573,330,172,600,735,309,098,385,515,964,117,439,924,991,
751,613,874,016,450,113,536,534,544,688,553,422,044,696,576,566,457,250,271,
311,958,178,664,854,434,884,749,531,327,801,142,053,139,216,700,768,042,406,
992,352,533,920,683,411,606,262,089,089,309,494,947,250,939,803,779,622,734,
950,420,429,604,236,775,759,909,901,155,401,982,032,037,556,030,982,426,385,
117,426,708,926,104,514,697,481,619,497,057,789,132,748,586,477,937,386,120,
999,959,417,161,027,265,093,978,615,353,149,076,756,706,314,922,036,635,895,
801,862,969,478,230,456,044,333,039,956,396,607,494,225,571,853,701,078,577,
791,226,556,359,986,714,419,808,109,732,870,777,817,656,413,322,972,051,085,
899,235,434,044,658,332,220,201,921,272,855,196,912,605,129,284,765,321,960,
272,691,622,172,304,883,337,841,999,081,856,380,069,408,752,534,686,379,906,
066,344,822,178,542,368,782,929,354,172,056,184,701,953,495,739,117,803,187,
628,896,257,503,266,163,048,212,357,839,947,807,691,046,161,180,308,615,916,
105,345,810,816,537,727,784,309,967,275,622,474,409,913,461,820,805,617,737,
145,725,204,850,916,376,939,888,671,324,319,560,662,174,627,833,555,054,017,
591,861,807,476,778,216,277,341,759,539,627,975,411,898,638,458,518,793,869,
798,518,148,604,276,649,498,722,850,613,435,946,073,194,923,321,927,927,093,
270,638,944,866,891,402,595,869,522,158,822,253,346,077,620,164,739,429,359,
254,138,849,796,161,805,295,895,341,665,113,194,633,496,248,898,828,628,321,
897,741,982,003,936,212,003,153,810,101,597,546,491,344,775,260,665,552,973,
842,560,138,622,653,476,897,226,947,504,921,628,415,848,562,363,244,181,673,
148,638,206,465,232,717,879,440,102,110,319,506,946,668,768,170,427,904,114,
493,029,256,001,455,062,187,705,134,291,994,697,774,421,698,596,140,368,081,
481,414,165,370,592,978,364,347,963,892,631,139,918,903,703,176,742,823,414,
900,364,028,432,091,298,609,764,215,937,996,248,390,073,852,023,391,433,571,
214,926,259,162,083,897,547,596,258,951,167,808,364,504,099,179,169,526,815,
374,298,564,354,948,025,719,561,221,407,709,110,263,195,909,140,759,591,719,
868,426,957,661,227,964,832,437,915,222,678,587,837,713,878,019,563,183,168,
023,733,215,386,146,573,444,504,347,842,890,401,159,728,969,550,305,507,217,
949,094,376,390,615,203,738,726,509,791,153,011,295,962,027,224,652,331,241,
412,979,957,102,331,609,077,398,316,530,692,803,539,686,060,810,997,782,880,
564,005,931,446,063,801,151,187,287,317,110,454,935,161,640,966,849,830,542,
874,597,942,100,479,737,573,297,386,833,594,359,837,036,104,115,551,719,659,
502,815,620,069,961,017,021,046,093,828,236,225,674,773,772,912,944,795,822,
660,204,480,962,835,671,740,750,443,714,959,799,274,884,346,574,040,834,789,
975,201,568,716,044,690,478,097,995,509,660,075,196,387,779,664,385,817,113,
392,015,888,481,719,042,027,772,755,109,104,238,474,844,508,310,541,817,712,
736,846,434,231,809,141,181,607,646,186,199,941,619,942,975,145,870,310,189,
229,096,359,944,291,659,897,072,049,646,120,991,686,190,483,806,035,986,844,
176,051,988,272,830,422,916,089,895,998,558,259,003,646,092,946,668,086,197,
120,786,551,955,906,495,880,636,403,698,356,281,447,159,242,471,067,843,766,
412,862,825,006,966,681,488,153,219,074,398,259,302,801,875,997,904,891,415,
814,310,522,656,161,871,908,621,489,961,875,485,968,248,950,073,452,818,728,
863,235,963,435,462,711,598,807,276,469,270,172,745,178,815,071,115,932,476,
810,973,210,910,781,673,386,638,779,740,501,432,598,689,561,630,466,328,539,
544,205,376,062,016,132,579,968,163,704,976,812,460,852,668,534,019,075,855,
318,703,071,241,387,981,315,631,203,831,536,774,949,765,171,394,441,872,404,
549,026,089,444,234,111,218,319,270,648,998,342,001,483,563,610,586,089,905,
450,283,383,470,806,388,209,472,348,422,124,523,117,675,236,070,592,836,681,
607,969,818,165,291,567,408,932,677,388,396,500,595,865,764,767,653,610,114,
317,355,702,480,900,701,200,621,488,454,703,907,667,292,201,618,607,703,182,
780,589,086,109,623,540,913,595,714,034,460,815,035,982,539,193,912,551,876,
483,092,347,515,172,563,142,998,643,500,354,889,146,977,276,908,973,363,767,
126,901,649,661,359,440,953,322,727,090,945,730,595,643,217,873,900,490,706,
570,426,139,193,393,082,350,559,272,061,029,808,140,335,058,749,976,482,769,
336,967,508,385,638,288,663,737,041,442,633,184,110,821,917,112,320,273,352,
298,116,692,507,503,431,889,696,420,612,125,192,169,097,544,561,729,284,472,
427,300,571,942,364,233,332,377,488,295,085,220,034,926,820,991,883,385,149,
548,446,473,970,024,689,791,497,204,961,929,332,725,039,048,082,974,391,091,
236,268,334,854,209,699,094,662,427,886,602,403,259,891,651,965,683,956,870,
481,580,958,924,907,096,601,654,180,918,088,169,420,471,335,130,217,191,523,
662,845,427,385,043,915,526,922,490,494,169,512,141,915,284,180,113,974,451,
161,219,412,496,869,592,368,387,494,670,656,575,907,416,791,641,239,853,556,
819,763,095,486,340,182,965,800,970,108,690,561,992,625,069,014,828,001,283,
575,169,840,296,680,063,516,246,723,556,908,698,885,245,179,886,207,817,958,
171,609,508,088,812,246,049,940,233,726,543,626,021,751,564,020,281,444,826,
563,839,217,779,272,621,827,549,663,195,322,584,170,370,797,710,363,908,217,
008,083,575,799,818,955,015,709,066,302,451,265,851,974,435,431,638,125,473,
712,138,767,715,264,276,804,406,162,245,094,617,571,000,739,649,855,652,831,
754,077,421,436,400,938,419,719,389,216,677,739,777,576,076,522,141,147,835,
405,540,941,055,789,816,687,176,752,361,747,468,170,990,688,250,750,906,477,
175,866,284,973,958,637,582,380,432,405,022,969,975,688,956,628,323,656,050,
385,683,317,870,381,242,498,301,546,467,821,090,508,776,778,290,088,557,639,
885,428,521,974,697,032,066,131,011,153,354,273,226,004,981,079,285,726,451,
954,099,408,128,411,258,355,974,751,470,069,798,214,203,408,809,732,153,117,
506,301,946,490,717,532,649,007,895,638,591,965,431,781,293,187,289,005,348,
541,165,124,515,004,244,460,784,122,406,001,286,407,960,054,747,707,614,069,
639,028,508,087,675,732,814,673,593,336,882,997,024,582,956,778,357,866,615,
630,828,670,954,372,000,246,025,162,560,147,494,604,633,626,427,630,075,656,
498,985,001,079,584,317,585,393,651,476,946,548,215,580,443,615,480,970,558,
725,684,979,217,221,811,950,732,884,423,631,870,848,060,562,741,155,784,043,
598,644,417,793,475,886,806,376,211,994,450,190,168,734,962,845,991,506,598,
814,082,993,338,023,045,151,098,968,582,921,483,584,066,484,531,520,510,583,
190,383,028,332,938,235,748,080,110,421,921,734,899,718,747,738,642,526,483,
989,184,494,902,332,403,429,705,666,419,845,310,722,390,883,474,995,432,714,
528,902,394,840,334,810,677,018,376,136,237,216,995,486,232,200,043,551,903,
975,510,703,124,865,061,467,369,424,179,239,337,609,352,552,200,618,269,326,
169,834,427,906,294,218,392,282,819,555,049,536,580,913,051,520,212,377,092,
858,226,492,572,951,414,749,837,276,600,861,406,724,583,281,125,306,917,147,
746,141,022,718,823,142,091,481,193,298,957,891,134,659,470,192,886,135,904,
656,785,953,850,573,060,059,675,236,664,457,720,801,381,734,618,989,467,261,
761,386,999,425,073,451,953,255,227,983,627,884,692,602,120,727,252,588,104,
592,024,784,877,708,916,445,544,545,526,766,428,952,236,603,391,659,965,761,
173,594,849,103,562,864,789,304,544,637,969,985,202,869,413,232,410,370,730,
009,231,056,186,076,213,132,558,574,476,349,031,462,184,551,182,564,814,179,
055,694,445,280,443,451,697,512,255,813,584,051,138,183,542,133,048,905,256,
686,151,755,829,934,397,500,406,617,830,993,982,688,049,234,563,946,878,277,
734,412,411,511,180,637,632,140,307,591,063,532,309,332,727,535,166,195,222,
460,723,868,613,410,473,539,747,600,466,979,709,899,438,090,593,909,827,999,
623,127,703,344,605,882,713,045,425,390,697,401,636,779,579,862,878,591,275,
283,614,961,398,652,422,335,674,851,284,042,877,931,796,343,993,467,125,325,
333,291,182,188,279,617,382,106,683,658,692,326,794,526,307,841,379,412,484,
837,152,564,352,003,481,693,422,714,157,685,388,774,756,152,447,139,501,433,
942,643,447,936,916,598,198,714,984,239,554,664,757,809,570,506,882,011,998,
847,401,913,256,225,007,138,849,544,685,840,833,240,869,359,006,110,238,017,
887,654,017,685,614,271,041,381,210,693,851,942,652,022,932,332,482,635,486,
198,614,105,484,112,840,024,486,859,079,451,855,242,885,008,192,625,065,558,
703,996,404,524,871,402,057,953,048,795,435,640,096,154,537,958,940,401,749,
621,644,291,772,103,337,523,355,030,518,715,483,798,515,782,218,416,487,889,
426,288,702,555,085,220,165,344,343,586,060,162,615,138,988,050,112,029,470,
365,247,794,391,479,971,521,540,593,627,196,481,702,121,039,153,044,544,207,
010,622,082,426,494,056,569,501,305,364,192,783,465,166,514,105,183,249,823,
748,767,916,745,851,603,995,247,559,757,126,951,471,579,126,960,426,109,922,
924,521,061,900,008,097,016,296,126,506,706,620,451,271,744,536,308,255,724,
330,312,023,736,257,521,485,474,568,357,283,280,246,105,768,088,349,684,728,
319,005,480,817,952,514,566,294,837,545,966,715,186,951,768,211,270,684,175,
851,278,189,398,403,618,076,257,893,232,595,992,646,912,613,996,721,474,551,
950,675,473,399,433,937,845,940,069,028,285,645,109,899,719,775,104,286,607,
288,515,887,155,047,059,546,198,785,134,695,018,895,414,554,694,713,592,327,
387,282,417,159,427,938,402,699,079,530,059,461,198,693,724,341,196,240,895,
706,215,759,232,007,833,985,241,912,808,906,979,934,236,817,386,423,477,868,
173,449,751,261,265,899,508,836,000,000,860,138,253,014,502,384,133,192,761,
874,653,288,518,153,793,743,245,981,478,506,686,818,395,464,276,967,041,216,
044,849,127,376,594,309,415,972,653,704,309,539,068,892,653,361,994,600,392,
532,969,441,286,028,020,765,035,178,581,597,544,445,882,933,233,909,170,430,
973,875,601,034,980,999,883,299,478,655,912,628,679,670,003,821,082,642,796,
862,079,584,519,435,130,949,145,012,714,790,987,864,983,121,081,711,854,741,
764,259,006,503,752,964,971,275,568,723,161,228,244,846,250,643,981,244,827,
279,935,044,878,812,035,601,575,577,282,833,600,027,734,471,996,997,033,387,
173,150,478,239,242,747,164,581,525,043,179,830,569,344,232,132,194,988,322,
210,748,399,721,892,864,226,574,185,935,781,933,016,033,540,302,228,417,433,
985,243,162,116,462,360,744,185,556,233,590,799,949,824,483,138,074,349,652,
976,157,454,392,833,214,292,565,054,171,363,605,692,969,897,942,783,488,770,
293,995,624,531,544,652,108,941,465,823,920,247,416,215,938,614,508,679,524,
687,315,815,590,020,764,004,019,451,623,655,280,863,119,598,165,020,958,769,
166,125,352,752,419,513,919,478,173,451,334,644,216,163,356,781,774,094,025,
559,053,947,140,631,803,399,075,975,800,924,609,156,433,228,228,842,607,960,
068,514,138,877,937,818,988,413,761,482,429,804,052,305,077,400,553,229,254,
518,922,624,045,349,827,407,349,614,297,018,661,177,502,854,352,677,803,697,
360,994,826,346,302,659,423,634,419,506,464,581,034,697,760,336,682,708,968,
151,232,189,608,735,088,273,339,466,014,200,445,046,400,417,816,246,500,749,
019,861,133,789,957,342,080,656,708,756,259,253,937,728,212,748,118,508,113,
123,097,836,840,564,251,058,105,390,455,340,334,306,046,267,068,513,225,271,
728,043,721,403,739,986,721,321,456,229,071,289,469,162,898,980,034,745,403,
236,139,543,153,059,147,380,700,567,437,236,165,858,956,647,910,989,990,036,
874,579,105,571,922,725,571,927,243,617,488,883,287,289,506,995,567,395,406,
690,855,914,623,943,700,244,729,766,799,355,649,878,298,300,793,355,391,604,
387,523,793,800,247,583,083,603,923,621,118,331,729,071,092,842,309,099,071,
027,732,604,342,180,960,492,569,124,657,083,896,945,850,229,649,318,067,452,
746,305,197,995,741,124,957,924,459,072,197,904,504,137,963,728,058,977,110,
899,713,754,642,648,506,477,437,674,364,786,950,637,796,795,915,064,272,162,
721,681,262,619,975,448,396,650,778,962,096,639,736,392,130,929,054,877,171,
202,965,845,757,804,663,947,935,107,456,442,146,860,972,932,040,574,120,087,
457,999,548,586,015,296,255,132,618,938,492,945,126,813,759,138,610,461,752,
931,107,693,156,265,561,241,847,183,085,735,262,923,660,071,841,191,526,511,
873,154,253,084,035,714,576,908,059,507,967,878,292,633,649,718,348,581,910,
762,199,480,350,821,765,399,006,148,196,609,420,843,969,710,441,009,206,305,
427,014,487,636,632,940,634,816,832,387,339,473,321,906,617,506,582,553,110,
864,889,766,402,524,886,142,214,923,903,636,975,087,702,878,308,884,143,501,
576,017,080,550,761,097,211,335,847,634,286,348,038,249,204,603,037,999,122,
556,765,183,564,611,046,799,916,437,775,519,047,016,782,080,203,550,546,831,
254,084,516,108,857,072,035,249,404,600,946,658,912,974,283,107,547,815,738,
861,511,544,632,789,973,309,877,791,739,506,216,018,994,563,774,126,597,581,
476,917,050,887,916,614,997,323,657,099,184,778,773,244,514,386,386,425,840,
541,729,842,175,896,178,950,076,434,679,660,006,913,989,586,453,545,092,521,
321,598,291,393,516,328,962,840,235,805,448,525,302,245,463,107,356,689,138,
774,582,438,925,357,846,718,387,060,404,653,091,812,029,192,094,509,523,694,
894,224,531,178,909,587,836,852,222,302,935,540,181,859,034,646,615,899,278,
060,824,988,421,810,417,496,526,689,687,906,720,708,826,627,890,791,566,523,
818,009,970,484,780,474,486,944,992,740,278,368,557,316,942,219,083,374,269,
047,707,780,928,213,490,834,755,366,992,457,495,603,221,086,417,465,896,374,
053,282,457,586,799,488,692,636,059,445,406,623,858,098,730,546,707,245,230,
647,530,240,224,806,988,382,050,743,498,731,786,690,729,697,491,030,056,778,
911,375,537,454,622,583,589,023,588,460,431,196,778,548,812,063,803,631,658,
866,368,496,660,862,893,385,801,266,982,398,966,088,760,046,406,205,371,458,
659,698,342,899,455,359,417,946,698,680,891,964,544,107,134,314,209,302,421,
714,301,238,291,376,665,603,009,728,361,679,330,396,749,479,633,391,014,740,
572,298,971,659,826,372,309,531,219,818,225,782,409,262,016,566,964,389,363,
244,189,547,898,630,764,610,995,938,945,047,858,778,261,146,709,955,344,891,
159,961,107,439,336,181,125,275,179,439,623,866,859,781,911,141,041,302,043,
681,205,904,775,721,831,846,972,240,117,871,590,213,793,727,372,236,146,919,
548,147,284,554,217,217,577,014,930,391,742,398,870,067,883,169,785,311,185,
385,650,239,047,953,353,686,589,565,818,164,839,063,775,885,159,688,026,439,
440,186,010,217,722,454,244,894,473,921,860,430,444,088,001,794,718,879,853,
688,658,193,991,913,416,894,277,918,029,046,512,751,350,861,979,468,992,850,
891,592,615,406,851,081,568,954,351,930,824,866,676,069,772,705,728,604,600,
824,039,441,198,277,985,420,515,752,333,537,949,692,621,445,325,761,895,709,
014,017,437,800,131,948,657,339,771,556,755,015,130,032,628,843,756,148,393,
115,085,214,643,077,939,586,657,542,234,826,880,568,130,206,270,581,111,248,
164,613,313,332,228,590,470,084,638,149,695,317,017,368,588,766,772,433,464,
744,448,763,095,261,483,200,230,525,098,477,453,821,516,651,796,562,356,849,
971,902,767,698,148,618,466,966,655,540,194,241,166,116,483,339,555,170,508,
938,237,265,389,891,762,317,871,664,656,900,683,548,545,677,073,728,448,645,
020,358,980,032,928,545,605,516,265,774,909,474,507,516,247,487,471,144,841,
411,887,372,480,917,052,829,592,059,906,161,977,151,747,513,868,764,692,816,
921,624,660,517,516,833,445,403,839,276,362,701,338,469,836,869,129,681,014,
889,472,056,311,101,871,522,482,370,644,999,057,220,550,477,950,623,347,881,
135,262,137,706,796,193,120,924,348,546,117,855,930,371,018,070,791,515,963,
790,297,276,770,883,733,148,331,981,721,384,969,534,031,109,956,207,639,313,
439,010,130,737,640,827,325,145,510,624,985,190,384,194,050,356,217,672,643,
349,510,788,298,961,830,149,764,958,909,158,872,611,598,997,943,505,080,728,
246,560,160,488,544,641,891,337,320,143,871,069,102,557,921,976,388,334,320,
285,342,482,539,286,639,687,214,770,303,061,204,427,845,910,385,602,250,951,
341,992,206,140,579,913,004,182,732,465,750,794,268,065,335,689,886,307,358,
163,837,308,695,898,070,377,432,028,920,738,069,798,549,830,331,054,629,582,
509,558,978,827,093,168,781,344,260,923,539,490,432,090,038,327,100,408,286,
600,410,508,264,520,535,573,776,438,406,105,279,133,987,643,453,679,500,165,
960,677,816,330,800,079,916,266,630,653,208,295,069,757,752,017,670,080,811,
432,029,450,978,872,095,160,739,626,011,842,915,992,729,274,540,612,221,772,
691,779,308,857,818,781,571,504,414,147,967,183,604,248,758,129,544,176,561,
958,695,227,127,793,194,626,556,040,829,297,684,773,321,139,016,473,002,237,
926,811,095,380,360,973,000,256,046,811,973,819,408,486,630,046,839,837,082,
828,562,736,521,798,325,118,895,481,382,812,807,535,141,371,528,065,481,134,
519,410,334,473,159,860,283,483,800,447,434,365,509,578,845,926,468,059,527,
870,572,591,869,219,728,255,492,025,566,617,094,355,941,140,697,389,387,126,
646,031,911,532,268,404,059,398,876,339,666,956,536,173,775,927,386,075,612,
199,903,532,033,760,820,637,421,887,910,668,154,391,537,850,409,127,527,457,
817,359,631,522,792,116,971,822,136,119,514,104,350,889,001,413,870,318,741,
829,925,609,030,898,502,651,553,608,466,800,143,675,985,905,292,142,449,201,
338,337,219,016,151,657,532,827,865,090,484,581,790,478,056,839,145,652,836,
392,240,769,499,591,371,483,338,557,890,138,410,335,390,547,309,487,320,354,
846,348,541,290,817,456,488,789,073,197,378,983,957,505,301,636,817,089,784,
890,813,596,184,218,820,186,291,423,062,355,716,883,369,125,286,260,873,237,
086,604,092,599,895,096,526,102,811,562,104,420,437,587,129,502,047,570,626,
523,120,086,651,660,512,909,797,108,955,501,204,094,911,185,471,212,787,837,
738,037,572,163,876,826,462,489,725,689,981,618,398,538,660,410,596,364,734,
841,067,433,018,780,308,581,409,797,323,130,182,060,492,987,519,172,498,266,
304,965,539,012,687,072,077,716,767,758,749,465,211,987,313,508,390,862,009,
538,211,566,328,105,337,276,043,864,914,959,219,212,130,392,888,379,847,977,
917,691,257,990,021,042,212,484,807,801,297,489,288,507,701,169,603,309,708,
485,320,840,244,072,425,938,021,930,851,769,354,963,151,571,721,555,453,708,
295,361,955,583,414,122,981,975,639,378,733,423,308,889,478,480,452,594,995,
867,284,129,177,673,756,716,840,653,045,988,501,727,391,383,918,193,328,208,
478,009,724,352,479,842,974,443,253,848,515,745,173,378,207,049,347,208,885,
036,347,470,846,329,647,478,256,978,859,290,622,800,999,674,987,155,646,940,
832,879,566,572,937,733,368,213,566,115,801,103,764,421,766,413,458,303,082,
524,082,284,832,711,078,513,382,245,967,237,686,839,601,537,651,300,007,566,
776,917,861,110,871,606,688,602,265,762,504,474,548,772,120,985,490,602,005,
232,168,761,753,684,317,805,857,113,795,102,928,446,350,991,286,542,129,952,
820,809,388,001,266,558,343,575,458,597,425,911,421,344,228,049,318,998,925,
116,282,400,692,496,628,699,937,779,075,767,868,819,327,757,269,448,538,353,
792,372,146,633,280,426,715,338,573,896,110,692,074,607,626,938,916,988,089,
214,793,968,857,647,144,148,741,955,900,127,713,823,007,764,161,730,753,242,
599,877,953,327,979,912,678,622,778,836,618,678,828,185,475,772,957,386,067,
356,063,188,930,706,608,281,881,585,524,153,746,069,507,896,635,849,700,252,
325,888,064,899,242,841,938,464,556,874,031,756,482,711,746,303,798,372,688,
427,243,633,269,681,443,338,766,298,244,772,327,597,732,299,120,903,697,609,
915,936,264,095,589,966,793,382,220,224,828,211,091,480,398,178,568,083,954,
541,712,723,123,235,335,676,219,940,026,360,428,359,005,433,997,129,406,221,
923,647,852,309,878,586,237,581,407,501,942,408,347,191,437,339,340,798,835,
018,560,060,791,134,929,101,501,864,329,372,404,859,481,603,197,362,446,144,
258,024,051,413,404,993,722,561,068,254,400,290,082,961,279,220,137,368,853,
661,292,220,841,210,261,339,779,705,705,108,725,214,682,652,947,866,503,677,
335,243,786,474,017,666,763,036,669,516,400,399,384,481,786,084,302,354,451,
335,055,488,169,939,070,681,752,432,292,316,678,636,276,419,672,262,548,038,
945,473,105,330,910,817,567,477,031,449,968,495,613,557,372,287,334,136,475,
438,812,469,003,548,189,279,228,486,031,096,291,870,024,888,639,678,765,762,
336,514,415,830,104,309,467,942,996,761,223,978,310,309,342,751,692,087,004,
053,271,784,554,667,541,568,769,034,743,248,854,938,705,619,932,378,575,249,
603,001,380,728,807,242,287,395,992,007,795,393,106,947,860,876,590,342,950,
677,513,195,609,366,010,165,868,642,202,664,355,222,007,047,720,065,770,299,
268,674,506,968,980,189,712,095,535,081,058,165,937,118,937,835,143,330,418,
986,757,409,546,417,577,793,507,424,999,538,923,002,814,452,641,905,324,951,
699,646,980,635,133,483,709,915,737,791,593,360,701,154,950,180,425,774,137,
628,282,070,106,079,307,066,415,281,676,326,119,949,866,507,114,256,693,569,
744,391,365,035,092,591,675,034,145,458,352,313,463,221,438,848,476,601,148,
246,696,955,976,316,294,044,644,151,298,898,173,895,552,404,374,048,572,945,
225,775,490,700,054,412,542,188,326,285,274,899,370,125,357,707,648,065,857,
502,565,006,275,831,442,790,953,672,926,338,126,394,035,890,616,158,779,140,
292,700,246,383,244,036,328,291,480,760,745,262,524,836,359,706,048,881,105,
390,186,555,861,195,868,817,780,278,181,078,082,222,798,270,068,843,667,525,
163,019,240,735,946,019,667,264,958,493,985,924,942,195,294,554,581,026,502,
332,261,343,029,821,946,811,538,316,347,016,928,219,700,307,682,096,104,622,
941,024,728,639,705,313,276,284,218,343,690,370,439,912,405,758,829,673,542,
585,258,404,143,852,843,807,513,456,294,776,503,583,223,799,939,575,761,400,
103,233,845,361,340,185,147,902,223,519,833,306,375,263,052,242,027,118,651,
701,136,289,655,869,678,529,882,719,540,597,418,730,147,550,589,755,681,256,
067,628,202,062,495,511,225,613,215,653,390,948,961,060,448,528,240,533,651,
763,597,042,799,969,650,763,313,406,517,974,951,256,070,796,083,003,600,844,
593,375,182,194,454,153,935,532,251,506,260,238,704,041,650,710,234,073,257,
610,177,507,227,681,851,344,251,033,547,614,402,123,601,744,209,321,660,542,
449,922,548,741,099,868,548,986,969,311,030,059,211,998,307,676,419,330,866,
520,342,730,602,841,921,555,415,131,962,978,715,009,843,982,629,347,196,429,
890,560,768,771,649,284,095,173,025,854,167,008,082,453,025,386,242,783,495,
762,656,416,636,745,552,508,823,898,185,824,219,774,778,632,986,711,313,533,
387,225,439,930,241,178,362,261,777,800,763,006,816,276,470,982,067,182,512,
993,885,248,240,040,128,630,321,210,171,311,389,735,397,689,833,743,292,795,
216,475,617,065,859,792,243,686,937,978,586,239,546,648,140,637,029,683,371,
685,580,210,312,214,582,849,209,575,429,844,622,253,594,304,380,883,571,087,
584,356,295,062,884,028,698,695,808,173,267,746,952,466,918,487,662,398,510,
070,766,450,484,906,620,312,688,279,160,334,613,229,463,553,824,890,994,103,
506,868,625,483,185,143,565,832,491,963,151,981,672,430,296,126,144,899,908,
503,572,173,803,972,207,990,950,660,775,242,631,392,392,837,268,842,011,257,
721,576,164,109,135,139,593,608,619,690,271,069,062,536,898,777,509,852,927,
149,608,445,131,627,141,227,995,049,025,122,485,522,909,988,501,264,685,814,
916,064,555,707,113,581,459,924,384,607,498,730,183,218,775,477,899,650,854,
022,286,782,789,800,347,685,913,692,064,568,902,853,402,333,047,766,569,293,
469,799,797,338,009,025,137,470,081,284,379,606,048,164,315,280,375,381,033,
961,321,641,910,532,097,925,498,578,038,400,441,559,703,359,377,316,634,384,
776,556,558,686,655,146,416,453,282,243,356,314,618,865,839,945,459,455,233,
159,151,591,905,407,758,834,953,998,695,299,829,176,525,224,173,024,970,970,
070,342,183,635,280,513,430,886,732,086,749,023,933,451,401,197,024,459,966,
485,089,980,327,695,839,637,366,261,284,221,920,864,598,679,887,368,972,026,
878,543,384,235,573,372,133,380,098,980,358,894,182,064,712,555,754,446,949,
490,350,932,344,307,555,144,873,063,012,529,884,359,305,904,231,812,094,998,
649,417,988,254,509,144,450,538,085,204,795,422,772,895,814,728,333,582,360,
354,229,659,833,414,126,871,102,152,669,935,532,582,832,771,636,489,823,744,
357,767,070,062,779,411,554,084,854,445,022,369,203,914,479,808,786,666,395,
306,581,321,895,039,781,666,114,340,515,137,125,213,675,868,770,250,193,867,
985,516,157,386,745,161,645,165,439,568,129,964,138,296,102,583,356,954,387,
842,000,689,783,885,788,309,794,006,967,628,334,852,963,535,363,044,177,450,
863,949,086,623,352,230,071,217,941,462,419,990,652,710,993,263,460,266,138,
716,103,421,702,449,932,978,620,716,611,428,942,525,214,315,588,502,763,094,
435,821,116,213,277,771,027,826,864,228,135,901,999,504,852,779,572,827,051,
229,875,021,701,227,538,668,240,958,014,191,025,809,182,466,138,057,353,589,
028,548,632,369,091,206,994,461,552,280,423,973,495,842,426,981,537,348,584,
547,369,644,800,466,246,481,041,396,658,320,557,412,845,982,733,625,328,035,
981,437,356,081,688,457,437,154,687,877,558,414,328,408,166,880,429,932,641,
759,933,958,306,384,882,002,574,976,258,324,444,678,483,597,472,760,511,156,
012,068,960,404,905,049,415,255,595,185,253,183,162,842,287,223,898,539,910,
238,578,748,723,850,037,338,234,821,223,056,484,790,809,108,928,611,929,487,
612,154,073,573,177,936,528,671,923,248,025,041,725,547,290,593,700,635,387,
524,455,694,239,997,204,453,267,168,347,756,027,563,074,434,894,109,283,131,
909,523,698,076,622,786,232,411,401,278,652,915,983,078,531,909,888,551,601,
941,927,266,961,993,447,629,114,092,878,468,232,162,876,490,528,946,307,091,
737,660,613,433,389,470,523,002,051,404,994,806,834,132,598,277,690,768,633,
436,973,881,426,338,612,959,705,890,124,522,927,255,306,059,312,189,421,071,
990,986,377,931,172,954,189,576,293,360,614,674,837,930,638,487,269,287,707,
910,609,000,129,036,748,311,060,758,095,251,245,212,293,210,007,672,488,274,
528,771,101,271,259,607,862,197,221,229,167,306,365,963,957,853,861,814,710,
667,400,845,064,798,857,071,098,931,403,355,305,607,193,391,193,890,194,542,
789,917,108,001,851,571,427,675,889,707,634,473,181,361,633,088,508,799,206,
144,478,339,956,452,601,251,263,098,153,518,639,482,313,360,493,290,645,604,
888,128,670,504,730,903,052,507,776,737,343,190,595,507,441,237,773,237,019,
982,341,592,989,116,647,447,430,922,896,036,544,061,932,003,621,834,147,165,
092,694,198,376,828,710,628,508,227,061,768,341,662,053,846,246,090,885,686,
852,475,721,363,918,126,719,302,829,113,604,194,426,978,263,146,741,610,831,
413,278,135,100,385,223,551,313,309,370,261,849,359,374,365,563,026,726,864,
196,763,286,923,779,913,686,227,284,595,788,305,425,848,288,431,551,797,810,
726,901,237,920,645,052,563,010,889,040,870,065,302,780,764,676,277,613,906,
888,376,141,938,458,852,739,496,216,771,192,746,944,300,269,390,503,833,276,
974,233,755,892,755,273,965,347,397,524,635,282,787,747,337,520,077,929,258,
823,448,646,967,860,941,042,103,529,829,632,560,142,017,257,232,350,339,185,
278,021,460,821,859,108,331,578,150,355,093,941,164,439,625,040,044,838,051,
661,427,392,771,687,481,312,563,362,392,182,095,142,931,830,890,980,501,314,
729,707,282,305,648,075,588,705,326,956,855,269,906,333,500,412,971,626,274,
169,257,236,007,443,971,855,032,583,117,702,455,910,322,715,974,660,009,868,
027,494,980,837,194,777,679,483,005,818,824,815,626,411,871,751,142,582,790,
245,998,683,842,195,086,078,481,091,289,816,773,104,374,137,234,092,829,555,
576,615,281,288,729,818,392,004,076,838,204,029,012,810,726,698,879,637,159,
957,712,904,397,103,607,514,546,526,195,179,875,020,323,764,312,752,961,295,
115,044,695,962,210,876,179,894,526,532,914,864,586,242,223,883,041,003,042,
886,268,659,012,479,034,647,345,461,555,200,263,441,593,627,708,894,478,416,
786,618,328,767,791,164,327,953,113,344,804,644,412,863,431,389,889,857,437,
148,481,061,440,053,499,518,268,634,505,598,693,205,155,280,419,492,314,702,
381,159,420,526,586,131,830,108,936,492,454,421,574,046,972,247,536,943,406,
532,179,916,445,281,506,192,198,266,317,347,363,921,093,422,653,491,395,589,
969,851,168,200,309,392,111,485,100,804,324,292,094,326,900,343,818,211,943,
995,187,474,891,515,335,225,899,247,376,566,471,406,763,307,278,402,068,472,
675,733,224,385,336,105,524,659,071,163,795,027,638,356,938,523,810,485,859,
107,176,198,743,162,019,028,391,918,062,729,711,392,753,656,658,000,143,227,
012,188,139,893,290,904,091,393,799,351,229,816,479,828,365,952,923,299,731,
039,742,582,908,886,803,005,232,250,961,192,707,035,091,969,684,794,892,371,
238,768,325,525,193,452,335,590,970,652,987,663,195,871,884,720,489,528,357,
425,629,066,570,037,064,472,542,057,796,259,174,202,922,021,694,970,281,991,
783,472,606,186,337,507,758,941,174,873,212,399,810,761,906,217,441,032,392,
089,525,075,718,262,746,347,276,720,898,501,482,895,388,802,844,955,310,066,
274,819,900,288,206,309,493,026,421,526,123,238,298,345,096,896,697,557,916,
953,595,520,808,627,618,343,567,237,180,486,695,688,052,386,546,956,836,707,
617,136,565,503,441,800,979,669,589,017,630,766,571,400,417,223,649,740,269,
422,538,630,940,487,030,708,248,713,515,008,709,367,617,776,816,224,199,099,
013,939,270,233,533,014,121,931,395,177,039,496,159,320,147,360,048,738,262,
938,684,643,154,916,433,815,878,367,893,213,967,604,503,191,263,007,785,153,
500,007,526,344,599,151,601,647,269,633,891,281,448,733,618,131,155,758,460,
066,439,544,325,885,180,994,265,684,110,705,328,535,879,562,039,569,346,408,
755,706,966,755,994,799,390,935,521,591,030,776,261,937,650,214,090,614,860,
839,709,360,551,389,488,190,755,760,829,203,354,641,056,065,809,884,897,911,
925,187,297,043,507,167,573,083,881,889,844,128,222,932,919,852,893,868,880,
201,072,375,249,500,751,721,890,625,812,306,514,681,273,198,055,390,285,777,
926,728,565,913,801,389,994,592,064,903,421,843,606,312,430,181,117,408,186,
842,842,222,478,037,498,148,157,828,203,911,181,789,362,213,926,040,064,588,
594,757,398,899,867,967,702,726,492,390,140,816,508,804,159,138,591,721,542,
375,532,214,974,867,685,545,975,970,650,622,839,170,942,501,431,381,963,851,
282,122,036,182,185,101,781,519,973,673,952,798,977,733,393,151,033,119,882,
225,390,615,099,543,040,337,781,480,164,811,862,772,909,096,825,602,502,201,
392,198,143,046,928,702,552,197,858,259,725,338,377,395,473,760,414,624,830,
002,365,082,235,578,167,995,744,602,015,621,517,459,264,540,885,534,523,412,
632,798,636,955,472,406,274,472,383,779,051,789,274,106,817,678,017,665,716,
900,335,658,477,279,007,571,034,425,983,102,139,633,969,931,519,324,272,427,
550,146,605,729,531,006,071,894,296,979,047,610,628,165,406,839,532,409,180,
945,090,201,648,304,162,364,951,963,924,604,356,603,975,751,284,809,764,177,
557,296,534,340,683,263,568,144,882,876,765,537,977,056,346,332,548,640,548,
975,742,081,945,590,720,305,737,914,686,494,251,572,349,021,705,695,392,831,
196,399,916,209,980,637,839,788,944,817,950,697,351,382,548,217,311,943,358,
452,064,103,703,088,152,930,242,652,668,405,156,707,887,592,069,102,036,299,
925,171,157,498,239,692,162,668,712,002,508,107,672,776,905,581,698,401,662,
702,734,428,535,198,527,400,171,190,517,348,208,711,959,850,146,880,002,727,
840,265,422,474,225,116,840,684,962,485,606,587,780,411,835,214,689,964,953,
282,272,130,756,183,825,499,763,714,869,883,341,568,376,762,689,254,405,006,
810,246,190,246,564,320,337,993,846,982,524,084,435,631,592,110,756,252,634,
693,350,602,457,952,886,572,776,076,194,300,890,401,381,729,577,320,631,685,
491,154,867,428,127,049,651,536,571,043,336,717,918,169,378,117,174,240,996,
379,647,540,221,198,861,879,191,423,640,972,379,176,833,682,898,340,229,818,
320,962,825,077,846,922,883,852,928,323,847,625,641,412,437,674,747,618,931,
032,837,449,160,227,051,027,069,899,187,231,292,465,641,313,880,235,010,808,
085,831,446,953,150,203,571,998,772,212,601,513,856,326,726,635,467,611,187,
847,327,471,426,830,206,884,092,555,371,550,307,712,274,750,338,243,188,702,
997,205,313,749,074,569,750,011,384,191,271,477,172,895,921,817,015,971,940,
808,204,231,737,972,917,482,343,183,988,350,112,711,958,691,177,811,286,203,
069,119,020,363,838,716,420,981,240,630,579,140,438,401,302,652,838,673,822,
126,499,165,701,179,652,048,301,887,499,217,165,851,061,331,423,237,183,599,
750,319,674,142,674,760,802,323,845,143,116,923,884,124,335,318,573,591,920,
544,386,264,001,853,787,286,412,992,943,493,858,868,319,848,082,555,170,526,
163,032,005,043,528,003,256,698,694,433,302,305,283,449,770,014,867,510,550,
705,242,053,520,932,237,780,713,414,236,284,422,121,545,604,485,850,667,868,
566,607,767,781,642,769,955,997,933,850,096,079,742,229,063,561,836,698,767,
126,532,455,207,331,214,466,403,182,756,361,026,757,768,463,294,488,817,304,
964,568,760,034,954,576,538,181,209,807,238,515,867,394,699,125,100,736,995,
478,227,507,959,195,423,797,190,334,328,058,638,312,128,638,346,493,004,878,
118,121,097,923,409,355,072,277,426,341,387,427,684,010,623,798,895,782,460,
344,297,725,375,287,182,691,556,302,683,793,347,404,941,522,947,004,061,372,
957,315,659,738,506,839,025,391,859,250,670,843,507,782,997,985,062,851,408,
740,066,729,067,515,174,141,094,746,599,055,028,864,260,788,964,594,683,779,
701,787,335,153,666,743,715,265,302,623,408,189,579,368,867,427,735,778,539,
210,724,540,375,802,128,829,782,553,079,933,512,872,033,077,093,775,808,753,
807,172,201,665,950,174,068,657,919,784,295,432,442,405,598,176,209,736,218,
621,258,568,113,482,879,248,965,200,435,761,704,379,774,077,501,266,740,355,
926,318,823,489,859,107,602,489,286,243,511,040,322,470,778,920,857,095,089,
744,222,172,851,459,664,380,172,541,568,067,074,785,216,010,366,171,916,885,
483,557,158,398,410,907,905,931,232,887,951,484,281,211,342,651,059,582,356,
662,533,585,187,468,421,408,345,882,122,992,016,547,517,617,921,501,375,795,
068,130,942,195,296,595,792,114,858,844,951,312,272,591,839,266,291,908,210,
311,516,507,355,105,515,213,654,544,230,607,616,584,701,068,488,974,233,218,
978,480,946,032,133,096,372,800,067,029,234,082,806,364,489,684,577,450,023,
578,040,354,813,444,750,147,804,165,885,603,694,036,084,639,733,613,383,706,
063,439,850,258,410,697,084,040,050,603,507,710,301,681,227,710,073,186,572,
147,903,356,684,613,641,167,124,529,487,110,946,376,591,915,498,986,117,780,
235,631,968,652,182,817,324,971,224,134,323,870,889,522,369,225,219,841,738,
873,494,589,966,492,761,026,735,224,305,606,505,522,076,496,781,394,039,917,
309,353,891,422,267,036,402,611,707,538,961,184,713,398,010,728,898,217,753,
133,147,361,374,389,578,500,019,528,318,345,847,322,127,016,955,059,018,932,
504,943,092,496,294,870,742,125,185,887,426,447,189,196,841,273,117,553,501,
717,094,653,020,131,305,605,235,350,820,126,035,394,031,779,200,216,697,495,
616,981,493,244,869,141,439,724,694,594,378,992,149,364,595,679,595,224,532,
765,642,427,952,934,701,143,845,777,600,502,423,877,872,681,289,086,379,060,
860,041,591,414,019,536,302,104,104,851,320,505,402,110,944,543,265,980,496,
291,085,010,601,928,988,767,864,766,586,485,839,526,927,909,319,704,384,560,
281,299,550,144,693,444,813,930,370,304,520,571,051,336,546,964,502,528,821,
994,225,865,043,373,781,181,215,741,471,549,636,608,165,343,270,275,656,971,
265,686,797,722,409,223,796,711,370,747,312,369,958,797,386,785,389,994,700,
393,980,234,862,717,583,744,083,730,534,290,346,452,517,019,510,870,725,851,
987,867,339,675,261,082,084,235,331,657,839,442,594,778,968,245,132,842,112,
850,053,006,798,293,153,185,391,205,492,486,969,985,671,919,078,637,485,335,
412,582,488,252,911,667,764,515,844,396,957,091,617,544,937,105,146,074,745,
616,918,022,933,243,864,203,728,648,923,953,522,420,048,083,073,145,503,860,
980,794,431,265,685,738,145,486,997,574,020,237,054,854,207,565,653,321,427,
657,735,544,357,929,023,878,869,387,008,381,293,093,970,536,612,208,918,920,
269,522,797,233,717,416,436,178,134,901,241,505,516,516,611,951,541,539,336,
110,082,595,695,602,020,846,098,100,857,389,201,451,071,475,536,872,009,543,
439,893,695,757,652,294,319,743,071,071,719,762,851,056,857,269,345,760,188,
735,515,694,662,901,597,845,113,352,301,476,494,771,251,564,347,887,611,144,
593,917,992,224,679,521,672,558,205,754,170,467,369,127,481,061,632,280,499,
378,227,032,045,656,188,771,085,708,112,559,037,855,139,251,016,356,945,259,
613,658,704,232,305,625,936,082,659,074,306,517,901,812,817,544,815,231,791,
031,011,029,569,814,777,333,511,830,065,707,411,232,295,610,610,364,864,977,
665,948,587,205,419,460,673,187,447,722,270,431,026,600,089,523,258,146,852,
882,472,010,296,514,353,961,454,841,730,889,067,091,290,825,575,609,341,671,
372,350,638,997,141,291,126,350,743,967,974,983,626,050,816,834,867,007,704,
711,673,767,664,647,359,498,828,408,823,892,775,040,332,560,400,512,329,567,
228,291,678,092,855,568,300,093,249,091,235,167,116,048,024,238,816,238,363,
260,818,870,446,379,578,958,054,594,483,368,089,678,311,700,427,173,801,283,
125,134,267,114,858,281,877,863,109,593,594,821,266,973,737,690,095,381,482,
140,822,791,289,606,450,135,428,842,049,168,281,463,090,062,598,093,256,189,
820,077,887,035,824,716,695,080,452,180,998,447,534,836,984,928,293,042,214,
599,730,326,153,219,733,653,234,126,142,133,080,038,417,211,468,350,317,835,
578,033,583,474,726,405,997,491,853,866,229,958,657,018,938,254,468,294,847,
036,725,839,481,936,002,921,272,476,792,011,914,875,061,547,360,426,818,971,
577,158,832,286,562,873,559,577,223,724,302,807,604,530,348,061,151,927,180,
774,714,054,362,111,480,406,408,126,267,340,996,586,812,290,676,627,471,135,
866,384,153,727,269,529,905,358,639,579,826,481,212,140,276,235,369,865,514,
199,077,271,755,606,591,312,199,340,748,029,047,184,789,684,020,080,636,178,
045,293,786,538,236,957,828,350,965,692,345,841,761,074,387,548,642,754,412,
227,411,687,919,562,996,115,662,411,419,165,012,710,072,222,791,302,110,502,
176,883,804,641,366,403,980,311,967,284,840,027,363,029,676,793,871,098,372,
440,899,541,630,295,538,089,844,794,892,675,097,978,113,251,090,338,972,889,
904,921,151,756,814,368,122,614,739,960,673,661,599,671,625,618,559,395,434,
779,918,700,082,784,478,598,433,055,260,852,500,098,633,979,022,999,978,257,
819,595,167,717,739,204,557,905,873,989,798,133,745,706,700,754,599,739,863,
902,153,339,880,969,938,635,788,714,262,395,272,687,295,097,358,179,264,615,
478,550,250,974,581,212,885,726,011,448,910,235,175,057,877,637,429,512,785,
239,074,468,295,691,219,649,648,352,907,575,161,936,304,567,696,221,464,957,
746,612,703,919,438,370,225,528,225,552,599,844,471,820,857,346,810,056,066,
934,187,997,898,009,596,631,193,435,066,513,422,597,129,126,601,517,767,120,
248,200,084,537,939,620,590,672,929,541,134,936,739,844,212,584,251,066,899,
874,631,358,574,951,131,882,186,276,170,732,135,340,276,339,352,613,860,317,
196,274,696,599,154,629,887,162,349,776,373,462,737,069,956,703,970,502,529,
521,145,097,631,915,569,362,165,149,835,596,206,032,196,002,236,777,159,638,
936,433,911,493,008,509,923,495,931,441,665,372,969,944,891,434,683,548,052,
167,222,778,811,745,641,809,052,308,657,380,809,550,651,082,519,094,763,600,
963,648,129,806,797,767,364,149,614,668,769,908,198,238,579,125,717,092,481,
577,869,047,962,239,736,523,735,165,920,552,348,959,719,247,092,761,734,676,
412,770,408,559,488,964,306,183,117,297,114,954,002,167,242,614,250,965,509,
994,181,280,268,183,260,599,644,880,960,660,753,501,425,736,176,576,327,331,
788,567,958,402,534,052,200,715,831,632,184,042,271,063,630,464,846,759,660,
073,642,957,950,169,088,784,089,209,521,817,912,492,633,520,263,125,633,566,
881,628,253,208,222,069,212,858,220,176,356,022,833,916,713,532,725,067,226,
342,775,549,021,762,851,571,393,627,098,681,079,168,466,405,678,421,097,888,
884,770,975,499,112,861,671,434,379,394,299,619,629,078,532,636,886,597,374,
091,803,635,968,452,177,175,913,388,753,428,883,507,341,775,853,987,251,335,
738,884,073,815,532,533,127,476,644,327,415,568,775,269,966,577,762,964,917,
217,165,175,652,174,226,398,030,901,993,640,705,098,476,041,592,846,798,744,
232,785,580,582,968,947,038,679,977,327,805,139,421,845,825,639,494,345,464,
617,661,320,629,269,047,462,705,602,251,583,962,311,098,696,554,192,495,589,
373,367,698,435,306,107,176,876,452,237,474,164,627,007,468,681,523,391,014,
490,956,510,622,740,124,288,658,978,209,785,591,230,409,178,112,998,444,557,
089,340,584,490,877,272,161,431,382,980,000,747,034,862,667,330,679,857,638,
586,138,750,881,516,107,545,909,185,940,179,870,961,880,770,317,671,875,541,
085,507,926,617,648,558,007,833,177,534,147,938,849,431,233,002,517,426,638,
510,297,151,539,227,980,549,249,253,722,929,160,950,199,660,578,122,982,031,
449,398,086,746,361,706,727,105,325,287,511,937,318,612,304,202,753,929,290,
590,375,335,006,498,080,907,951,701,284,680,175,337,549,292,718,509,822,207,
694,400,762,122,358,799,561,317,589,678,321,120,190,152,751,756,043,075,705,
184,085,868,958,435,676,640,231,309,641,349,395,425,282,310,795,219,989,119,
615,854,310,154,636,944,827,344,045,983,594,475,417,959,947,065,760,800,741,
074,525,969,578,343,142,279,439,708,561,063,492,093,617,834,400,023,793,602,
791,419,372,682,706,458,440,825,047,878,431,886,402,823,746,726,311,806,356,
532,375,095,980,629,717,086,713,166,373,106,046,767,632,347,900,023,831,393,
095,722,934,622,673,877,716,538,528,142,988,229,244,424,364,249,790,803,831,
507,662,477,274,471,324,799,867,926,062,497,069,781,522,179,755,647,810,612,
336,431,214,646,309,998,628,901,599,770,157,894,826,799,653,202,390,699,386,
163,553,377,760,972,246,496,679,846,237,141,114,508,702,637,890,320,447,071,
791,578,930,967,433,999,879,051,366,722,417,615,846,685,246,908,798,535,744,
909,986,269,258,711,298,521,632,779,413,351,816,947,104,834,704,079,259,546,
261,053,893,831,387,023,452,464,078,346,360,248,174,201,777,004,181,147,746,
067,171,678,640,927,212,618,601,530,340,022,628,519,906,005,248,245,922,689,
763,958,256,453,056,317,090,507,332,192,030,036,434,990,386,155,893,579,109,
500,729,299,245,629,467,683,988,910,589,595,031,283,926,780,892,347,247,747,
051,830,056,178,883,594,303,477,555,205,851,944,935,707,085,122,430,937,709,
082,924,436,486,106,791,879,634,958,447,518,435,746,294,214,903,549,454,879,
508,334,699,218,276,445,329,797,194,282,491,479,363,142,277,361,787,785,552,
460,661,038,311,248,166,995,516,566,910,989,253,824,495,092,545,297,299,764,
222,015,529,761,079,843,849,198,557,374,431,537,492,139,963,348,657,149,876,
379,078,893,822,567,766,888,804,708,666,967,157,640,929,100,894,883,654,177,
964,838,784,894,246,897,321,652,158,030,068,861,462,429,460,831,373,590,020,
665,994,460,086,026,320,437,899,954,348,445,361,956,353,574,646,915,493,902,
959,852,818,738,488,772,671,050,896,451,400,261,035,675,563,722,427,626,354,
700,684,610,202,201,115,620,440,496,535,674,533,066,777,784,782,324,704,101,
986,122,834,417,578,065,374,108,360,655,187,212,811,965,885,974,916,859,497,
027,553,603,037,125,398,017,882,240,932,555,013,342,752,245,896,675,160,057,
677,970,177,528,941,891,050,374,917,549,538,850,969,046,987,975,080,597,443,
497,360,777,747,359,331,036,417,854,700,703,464,910,229,918,065,351,400,626,
287,706,637,636,398,049,384,595,283,185,463,175,958,074,039,761,929,649,689,
880,082,076,829,203,780,684,853,750,503,246,130,307,021,740,313,098,904,881,
811,849,230,873,592,487,883,142,706,505,727,533,522,243,425,788,559,301,107,
360,433,019,048,111,944,389,243,794,122,173,381,061,086,686,729,745,694,043,
166,493,266,409,794,657,118,569,373,360,826,884,101,937,290,469,627,411,776,
185,365,081,196,543,371,835,221,300,315,535,568,374,129,784,700,498,529,970,
710,209,358,601,115,008,684,807,006,967,790,805,351,266,769,240,856,568,273,
392,504,103,913,396,512,748,885,660,153,744,658,481,609,977,882,738,184,993,
032,282,996,108,688,002,869,088,925,797,950,906,406,136,690,694,044,906,330,
456,501,203,510,194,621,258,448,868,295,468,261,955,968,267,506,949,482,384,
425,361,747,662,045,421,913,367,275,525,345,820,627,177,466,931,217,155,532,
620,189,143,641,400,977,097,891,204,466,451,680,487,538,852,260,535,129,890,
462,571,455,505,277,875,465,690,237,103,404,003,962,694,871,653,809,120,399,
498,834,201,039,092,682,128,443,404,229,247,225,639,805,648,401,057,005,032,
444,225,881,201,009,780,431,576,519,523,159,136,859,923,618,378,079,492,605,
053,321,185,234,217,099,691,626,910,773,098,837,478,672,790,594,938,960,008,
900,993,975,832,634,878,129,011,064,462,585,582,634,235,711,661,019,749,010,
233,352,007,369,250,064,897,089,316,782,222,317,238,515,976,645,097,706,909,
907,632,236,932,038,609,796,931,041,633,881,108,218,305,695,937,050,130,385,
679,672,522,202,167,338,220,973,049,985,036,664,562,727,270,407,715,802,769,
000,547,620,298,605,639,890,311,908,521,960,755,911,389,299,402,766,915,631,
076,726,923,258,383,264,186,409,868,758,994,434,727,678,744,489,902,908,357,
830,617,301,597,630,635,303,841,663,602,185,458,483,743,812,126,984,008,591,
395,850,133,964,837,629,171,639,447,856,813,705,723,416,759,484,898,010,045,
942,152,579,747,389,780,944,714,020,758,677,803,360,071,686,213,117,640,990,
942,773,058,022,361,635,901,684,008,002,644,219,021,540,145,659,228,838,372,
809,052,592,023,457,969,269,620,690,246,373,017,871,184,780,017,360,165,667,
391,164,758,050,947,525,988,190,913,010,772,518,124,599,643,218,035,426,757,
615,589,896,483,602,068,467,826,289,207,027,585,594,712,148,093,718,060,824,
284,957,767,969,015,102,314,586,106,184,446,833,564,302,460,511,709,792,731,
417,669,497,579,693,379,766,882,640,759,238,860,319,495,945,828,310,900,738,
186,585,018,332,598,084,096,948,333,666,077,540,868,066,355,927,902,343,832,
832,737,700,565,013,291,020,547,825,257,651,607,849,023,440,441,019,528,596,
430,646,302,750,906,954,334,932,386,353,475,649,648,396,635,531,365,159,998,
539,391,509,626,304,308,121,100,852,525,465,386,175,092,914,542,569,891,912,
713,017,440,381,156,963,635,251,300,708,652,995,353,180,598,969,488,766,248,
649,105,147,496,228,321,129,198,636,223,642,206,038,487,249,661,831,273,074,
967,022,409,290,078,463,299,198,621,307,813,152,367,582,975,546,796,568,157,
774,505,886,192,365,431,129,262,268,305,084,092,196,656,963,108,102,058,786,
036,180,559,881,768,024,182,336,225,611,821,527,904,552,741,323,293,818,500,
744,378,925,310,984,104,316,629,479,694,601,195,812,948,268,452,134,641,488,
139,822,578,689,879,223,177,595,637,220,569,708,256,552,459,143,505,246,196,
147,493,506,410,832,324,917,800,911,874,024,445,339,122,210,168,713,274,579,
469,727,640,564,919,331,042,296,500,505,389,387,008,713,011,810,319,019,894,
888,615,798,492,449,116,485,125,020,424,649,352,655,943,563,784,828,292,024,
927,159,623,984,348,688,571,611,171,955,941,820,682,363,815,231,802,723,238,
885,042,384,051,252,049,381,608,529,520,983,772,970,746,490,076,073,391,120,
804,936,271,450,692,439,687,512,539,974,500,572,909,533,654,927,809,288,201,
464,780,208,720,043,445,217,573,502,449,643,179,646,196,564,637,651,810,718,
223,475,996,886,356,064,404,313,439,967,923,104,711,880,331,239,775,000,860,
088,806,957,979,561,909,991,567,860,843,899,642,378,888,568,444,847,971,068,
005,340,737,939,496,510,455,688,754,369,236,434,574,046,591,036,134,943,556,
956,536,161,512,912,180,362,052,279,016,590,602,098,163,369,569,066,861,543,
543,563,844,725,266,074,200,467,278,881,360,958,074,884,547,937,880,683,095,
866,297,873,350,337,505,770,357,550,850,084,483,916,278,907,665,473,873,680,
443,962,519,865,761,613,740,977,617,716,328,861,903,680,403,479,047,601,568,
566,838,394,253,596,101,929,945,717,313,193,058,298,747,684,631,131,188,050,
897,328,255,527,437,820,766,646,748,930,597,086,614,837,031,489,716,490,868,
366,898,823,559,264,592,111,950,178,193,992,052,288,111,107,840,438,290,757,
263,493,375,497,803,429,056,254,223,002,014,604,744,206,220,416,144,969,578,
587,866,263,773,642,538,236,048,805,692,491,770,052,737,700,209,544,507,243,
449,702,899,981,801,791,879,924,060,643,746,169,488,361,501,758,698,526,423,
410,392,965,759,883,564,904,419,119,620,883,597,615,283,833,926,875,919,948,
286,670,783,527,982,034,320,133,491,914,645,526,979,788,642,616,825,052,605,
478,494,708,603,990,494,694,808,414,317,644,344,911,238,055,409,445,116,014,
133,365,867,367,628,974,030,696,407,335,230,263,279,533,736,408,696,844,810,
423,680,849,890,022,425,296,511,423,279,594,028,669,811,660,096,276,535,554,
132,800,272,131,010,985,793,767,234,120,405,646,299,660,775,940,757,121,300,
770,154,334,962,873,186,386,131,848,714,843,390,893,457,497,422,596,744,806,
616,451,262,584,262,039,192,282,551,795,127,431,792,353,717,636,922,431,912,
255,213,438,271,656,885,831,415,925,074,957,847,199,630,814,095,161,365,111,
508,891,796,950,715,591,249,766,709,136,035,211,750,817,107,237,957,175,794,
832,683,507,596,933,707,985,152,477,145,660,274,088,245,952,656,974,183,345,
552,387,094,788,151,008,119,905,913,412,304,116,078,546,761,318,601,600,473,
636,811,525,943,079,651,410,572,567,227,439,024,608,451,845,080,719,011,921,
802,623,161,965,036,447,537,959,377,724,513,946,744,182,411,306,572,351,372,
359,319,923,847,996,816,077,884,628,038,329,900,856,334,601,968,624,095,819,
307,107,308,041,590,050,900,504,750,044,205,317,379,358,509,678,503,326,876,
799,810,661,695,035,082,558,635,553,538,824,754,103,255,936,479,220,854,343,
768,279,376,177,211,257,351,424,800,146,217,516,103,949,863,196,585,823,436,
081,646,545,854,325,222,477,946,335,856,462,395,704,079,870,560,568,830,488,
700,715,209,172,146,118,031,046,580,816,259,137,032,513,023,635,197,390,267,
657,426,589,803,731,022,273,836,201,209,260,042,315,807,760,145,462,749,447,
684,937,601,855,168,103,602,023,420,015,129,613,716,289,192,947,283,747,860,
414,318,049,134,632,804,715,997,247,219,005,540,873,230,020,440,575,597,582,
426,735,528,170,578,970,411,915,963,982,905,010,625,774,256,553,147,313,778,
519,854,812,808,681,401,469,691,057,110,289,451,772,321,355,369,427,806,684,
101,281,017,141,363,133,667,728,946,874,476,701,257,441,021,720,321,156,962,
783,345,752,788,491,373,538,411,573,006,974,704,196,073,074,520,112,265,696,
442,347,236,110,502,261,401,475,984,877,112,366,070,205,950,405,332,198,110,
144,629,851,843,596,772,370,635,162,304,198,043,154,296,946,933,213,878,676,
520,336,125,089,236,879,025,617,151,930,591,579,116,719,039,526,106,291,325,
149,883,937,226,254,700,887,529,654,057,811,621,079,129,483,606,719,058,255,
656,944,170,286,277,666,110,110,553,332,702,499,362,922,038,353,869,496,523,
786,725,054,377,792,038,717,529,987,263,833,734,599,888,004,726,170,289,445,
767,123,726,944,108,168,823,010,614,818,309,208,281,885,160,333,983,143,681,
366,455,435,048,939,997,477,336,109,518,449,336,080,838,470,112,347,513,131,
878,855,511,296,190,193,342,137,929,064,443,616,962,671,221,420,324,854,659,
687,606,633,813,177,320,386,416,208,018,492,915,735,909,836,582,413,323,851,
296,345,510,733,694,456,296,924,396,389,091,516,887,050,258,599,864,650,765,
276,049,616,802,957,568,948,621,877,184,204,178,447,382,601,255,026,732,041,
077,737,693,591,176,745,486,221,634,015,295,483,986,658,837,056,832,139,307,
146,828,669,212,292,784,283,977,769,734,937,728,910,137,211,826,584,071,432,
543,144,899,835,933,502,227,158,641,795,505,847,990,266,336,617,268,243,307,
790,518,708,102,819,395,439,619,777,737,915,682,771,494,909,822,838,093,184,
465,050,863,911,183,076,067,357,076,428,644,669,300,463,360,091,814,745,849,
740,357,344,965,543,308,527,473,854,168,126,944,596,242,421,411,451,114,126,
181,337,267,133,047,340,309,353,786,345,653,466,561,111,407,428,855,071,641,
390,419,907,046,610,613,871,181,600,117,337,746,056,755,229,688,252,536,877,
027,107,214,522,233,693,711,998,681,698,426,574,472,531,033,765,039,552,782,
128,389,506,759,099,031,030,924,816,293,809,239,849,273,949,063,304,357,901,
712,641,124,246,963,316,041,051,476,687,515,826,923,431,447,987,901,922,827,
445,370,996,615,459,858,386,642,055,158,159,964,259,773,266,476,183,536,808,
914,727,056,084,869,257,006,251,571,454,355,908,110,803,178,699,788,165,109,
645,454,777,948,092,284,989,995,894,399,964,486,299,075,545,422,856,578,491,
290,739,045,835,689,930,517,990,079,581,283,656,881,830,646,681,039,748,050,
439,964,891,243,754,885,376,304,665,577,480,772,591,893,456,128,729,441,535,
195,882,968,179,263,784,774,548,821,729,612,698,544,750,366,741,976,392,737,
573,459,884,132,045,301,460,553,506,958,034,901,607,555,239,968,571,864,463,
456,199,546,699,991,099,993,763,750,650,620,550,439,929,476,908,257,639,926,
955,385,954,429,375,430,178,196,955,361,118,460,138,823,150,129,437,582,507,
222,712,150,942,944,044,510,581,430,291,798,289,608,903,866,940,031,458,777,
808,980,934,939,290,074,376,962,490,601,287,952,895,730,215,835,161,595,685,
959,869,375,883,088,426,917,399,722,360,020,441,285,155,041,225,554,691,221,
687,210,943,459,827,250,637,528,456,688,154,309,794,689,118,559,407,003,565,
388,538,027,510,861,997,035,756,697,719,410,300,435,461,644,594,973,252,296,
669,005,001,782,033,064,249,548,544,667,522,762,150,227,179,944,385,986,139,
893,250,445,462,828,235,040,618,993,285,782,182,005,733,345,570,352,247,625,
723,002,740,762,543,555,091,425,529,516,075,084,907,116,790,124,322,486,375,
903,615,901,046,854,177,424,554,030,799,549,310,805,648,978,766,763,486,724,
130,390,673,294,402,839,745,519,059,084,271,648,308,206,046,967,635,091,343,
369,197,613,070,611,481,484,123,435,379,452,396,592,997,065,542,947,102,184,
647,754,742,627,826,318,331,688,906,468,812,786,311,713,518,283,259,258,392,
626,475,225,913,716,992,129,788,720,529,706,275,873,260,593,852,662,245,945,
036,591,781,468,674,763,652,521,166,630,766,894,123,758,393,074,277,154,498,
650,169,069,388,499,813,811,871,456,108,973,236,390,759,137,989,694,663,417,
972,315,045,151,285,799,161,968,210,116,748,257,935,339,666,219,118,059,837,
394,759,417,532,100,938,030,873,711,115,715,954,234,287,570,459,967,324,775,
872,455,075,904,639,736,795,625,111,509,423,645,480,150,649,823,228,079,827,
817,487,303,194,313,228,426,845,026,402,288,698,670,172,932,087,214,472,014,
036,270,195,663,793,235,734,627,111,519,248,186,750,301,341,416,742,819,296,
810,770,961,086,304,879,641,993,134,084,449,755,251,639,270,460,478,154,751,
082,184,115,206,291,526,910,050,229,332,030,531,346,886,798,419,706,904,622,
595,027,230,255,579,167,992,287,695,333,765,781,464,939,670,576,378,997,585,
408,679,066,348,314,021,905,195,633,218,030,122,247,979,213,868,818,304,543,
409,043,127,742,411,328,571,278,686,528,006,810,770,642,457,947,488,204,173,
976,022,750,240,217,522,097,064,173,753,790,677,909,781,501,310,892,201,119,
215,788,285,724,057,445,129,865,614,368,405,564,248,900,343,422,299,919,951,
266,092,493,932,829,407,810,998,120,208,031,334,820,866,844,199,325,397,731,
315,227,411,824,599,853,397,510,346,630,735,745,281,486,377,678,176,788,470,
308,979,311,134,890,270,244,292,381,104,061,016,196,737,191,943,649,648,013,
254,305,650,330,087,151,590,092,022,281,320,159,496,731,400,314,148,040,322,
195,700,226,129,784,817,903,150,133,759,489,493,288,973,761,406,737,495,141,
559,263,002,541,552,664,223,537,883,936,188,748,690,732,311,733,909,503,686,
956,017,423,097,568,021,650,930,271,713,781,178,776,517,830,285,997,106,716,
427,839,236,124,457,348,939,903,050,813,213,269,299,107,352,311,886,472,039,
284,928,155,963,178,396,672,139,666,615,323,018,706,545,141,245,956,338,884,
165,366,917,531,914,169,317,522,478,036,896,750,862,029,164,676,246,430,029,
471,395,185,176,776,516,465,417,006,155,503,841,968,560,720,517,155,203,724,
954,650,264,813,413,557,710,313,460,176,644,784,090,294,651,497,100,945,604,
911,384,762,437,934,255,160,764,805,130,036,741,026,152,457,466,653,093,107,
984,788,045,499,144,014,264,723,244,119,979,581,121,695,007,947,918,444,229,
409,670,986,845,790,443,808,341,166,014,432,992,362,045,084,884,365,534,199,
724,289,427,530,558,992,371,037,957,960,406,534,368,776,958,655,512,096,819,
845,690,773,007,931,018,988,368,730,383,542,352,423,058,010,818,668,955,084,
408,527,246,139,777,784,694,470,102,479,138,420,529,848,390,233,162,625,933,
027,358,070,946,925,135,379,907,844,469,707,413,273,388,712,093,565,527,354,
557,890,422,785,292,181,479,336,637,276,836,320,408,273,885,941,261,831,519,
037,704,575,171,781,807,679,112,715,842,576,942,186,962,159,002,242,813,109,
240,062,588,742,636,412,962,943,054,761,606,399,561,404,027,792,255,786,418,
055,671,544,505,076,290,681,423,635,343,057,694,047,524,907,436,580,925,884,
788,488,864,854,448,381,568,971,594,040,492,182,602,122,061,615,435,167,372,
579,602,237,991,716,959,508,350,401,199,231,017,514,785,631,745,043,527,025,
872,473,396,987,034,024,161,049,509,066,599,879,069,063,044,009,263,319,731,
949,707,281,977,174,505,391,419,331,960,027,135,077,796,028,237,323,090,099,
405,761,647,392,442,569,086,696,228,665,302,298,570,118,306,060,877,983,706,
619,623,652,176,052,144,439,878,533,637,816,352,235,976,144,757,591,723,326,
134,986,795,643,695,571,889,908,062,524,234,567,534,228,270,877,239,597,175,
968,852,881,870,976,015,381,569,137,269,227,383,999,501,756,783,945,610,191,
880,507,777,915,118,087,359,784,098,103,075,636,589,163,932,266,058,598,831,
631,092,035,722,845,913,527,753,533,116,038,450,347,169,067,936,678,431,959,
828,302,074,567,814,505,006,520,926,581,753,330,735,896,434,004,882,936,232,
729,535,628,338,127,677,416,975,150,368,061,956,718,609,974,832,938,318,139,
556,227,189,732,016,488,201,870,702,251,044,716,032,558,849,664,667,403,885,
572,906,098,391,415,097,098,767,827,347,732,399,913,835,352,722,929,815,771,
275,532,836,313,042,883,267,855,060,312,839,267,297,330,729,658,465,334,925,
832,672,789,455,971,212,990,493,316,941,373,640,664,487,679,694,637,302,958,
728,616,916,441,566,311,596,127,338,347,307,388,789,499,671,302,581,513,599,
905,925,796,589,557,968,771,117,669,557,558,071,858,492,096,578,471,597,181,
783,543,457,874,319,341,381,910,165,338,515,820,245,188,363,533,049,191,454,
235,562,327,503,496,432,662,850,909,799,833,060,379,962,903,804,497,709,954,
576,047,316,026,470,746,266,144,289,422,471,403,065,280,275,854,992,191,317,
891,082,443,781,812,685,999,578,319,318,048,996,592,056,341,129,269,984,922,
159,066,634,183,513,056,547,281,423,342,225,887,575,227,844,441,094,595,392,
331,804,865,088,163,622,458,757,136,041,350,663,753,554,343,695,882,298,934,
164,575,287,233,989,473,229,983,793,396,705,596,615,391,372,128,078,370,588,
399,722,584,991,421,473,642,266,482,158,462,874,008,468,842,370,335,998,862,
215,333,013,116,735,169,445,522,336,254,810,060,397,928,112,175,176,279,198,
078,820,023,904,527,670,529,959,882,222,870,745,855,309,188,834,611,620,405,
705,662,875,512,739,233,696,995,060,001,925,154,010,651,196,435,330,838,087,
152,992,482,256,059,508,343,625,759,901,138,000,244,311,026,303,405,730,811,
110,216,941,848,228,573,598,563,597,329,354,427,277,708,617,755,690,291,844,
292,897,733,405,182,197,011,715,514,932,392,007,849,968,234,730,948,313,402,
906,331,210,074,772,789,580,285,028,733,653,089,085,169,799,727,400,104,081,
409,808,746,766,696,016,964,366,757,892,886,866,844,692,419,899,399,994,603,
031,888,694,422,455,924,713,242,926,382,828,781,171,903,368,438,097,514,577,
945,947,277,473,199,195,074,015,556,774,256,856,066,004,212,017,091,279,317,
090,660,926,348,996,479,241,083,743,769,725,433,178,280,362,639,702,350,653,
533,883,600,208,975,421,049,223,243,419,077,219,844,642,907,256,741,350,149,
631,886,308,253,222,951,545,733,976,488,972,020,077,359,815,556,156,726,941,
014,712,883,099,251,091,763,144,159,696,674,602,125,453,709,820,064,593,936,
960,177,261,125,828,558,237,085,274,080,137,649,845,264,597,142,555,604,489,
388,493,185,173,506,544,666,577,665,624,932,955,349,485,991,963,080,207,699,
332,018,028,948,587,278,540,652,284,641,777,829,414,074,107,638,553,978,737,
380,767,902,265,389,780,862,232,170,680,418,889,214,151,600,215,969,535,285,
907,514,160,129,365,313,932,936,515,959,612,115,109,376,914,061,483,682,807,
462,418,465,165,992,328,390,541,925,346,561,085,657,393,785,202,487,874,727,
304,588,886,473,616,433,570,304,669,503,840,750,993,484,541,972,033,753,085,
591,716,703,573,024,335,114,093,932,838,416,939,712,030,793,946,403,820,976,
963,192,997,787,023,096,170,516,318,525,603,034,017,915,130,525,284,603,500,
997,616,871,104,307,723,172,168,936,622,662,787,511,559,052,832,754,299,518,
639,784,583,949,911,580,578,148,720,308,061,522,329,716,946,776,977,381,684,
095,133,474,412,900,221,300,637,128,708,282,600,993,740,104,624,666,174,689,
609,008,746,711,183,082,237,828,224,569,920,458,033,483,713,507,719,443,344,
186,424,056,593,137,656,868,423,718,096,274,182,445,804,285,430,529,838,366,
655,534,802,075,904,262,197,384,430,208,331,573,348,111,146,698,553,994,440,
512,268,714,302,700,090,682,823,379,386,025,110,386,891,041,349,709,817,363,
504,761,612,548,462,597,360,168,766,064,441,878,894,973,084,295,466,792,961,
814,009,506,052,913,858,327,647,135,824,139,740,821,208,158,493,290,595,862,
570,527,108,363,965,629,560,034,936,754,440,375,714,253,206,352,304,215,197,
788,017,365,189,612,479,801,906,052,517,780,820,876,348,887,264,768,322,229,
451,716,365,670,785,700,425,183,747,489,010,250,112,223,272,020,778,830,799,
867,627,689,687,553,158,590,130,369,241,372,942,704,460,988,377,462,444,087,
414,591,252,827,410,658,138,641,071,621,656,242,312,447,716,222,989,667,644,
281,666,129,441,306,453,084,164,457,059,360,982,334,393,918,467,388,307,708,
564,468,214,419,504,305,644,317,942,158,494,407,669,031,778,538,959,867,217,
182,838,470,199,513,470,659,075,519,653,830,281,325,201,634,408,578,150,734,
147,356,694,731,772,945,219,551,441,635,507,940,673,857,178,029,232,727,228,
774,235,016,952,481,015,624,014,486,308,968,221,446,948,794,295,143,866,961,
772,540,819,879,942,043,739,940,290,818,123,566,896,888,458,596,916,650,002,
948,826,882,547,108,980,091,948,292,362,676,033,283,907,019,466,498,388,102,
403,946,652,661,312,117,652,865,089,094,654,063,435,080,135,189,223,598,654,
538,864,343,071,039,497,645,181,250,227,811,993,023,206,777,762,573,670,578,
685,010,995,167,709,227,823,331,227,951,944,211,003,065,876,056,904,898,599,
094,043,187,913,051,988,005,984,670,510,102,404,535,029,429,685,372,281,326,
989,183,948,274,923,900,882,741,038,986,198,071,964,909,702,579,101,845,836,
852,145,096,613,753,094,506,350,572,576,015,723,308,229,665,517,470,792,202,
263,303,655,733,274,272,732,340,155,170,360,970,085,070,750,166,815,530,493,
631,559,759,249,166,607,978,403,216,195,219,168,512,219,451,541,807,894,603,
000,534,609,681,711,875,039,195,014,197,449,642,950,795,028,359,626,327,964,
615,175,634,988,054,729,308,310,810,823,716,655,002,320,481,876,232,211,729,
841,361,824,159,543,259,890,553,884,938,160,555,329,854,549,927,135,244,617,
126,149,126,112,202,285,290,252,248,266,747,885,973,941,591,182,056,935,655,
501,876,227,275,925,364,309,583,953,123,414,790,910,213,199,834,260,035,643,
680,549,529,271,663,146,639,029,483,921,849,285,520,271,330,419,036,106,711,
683,278,053,037,971,558,426,298,739,512,982,532,840,830,065,330,836,170,268,
711,790,932,033,447,718,436,662,154,992,300,567,112,741,748,035,949,253,667,
245,999,185,486,693,661,672,531,598,937,042,534,644,059,320,672,040,481,009,
052,027,032,817,835,811,362,961,905,023,513,146,529,555,517,043,120,570,768,
510,080,009,261,425,002,483,282,591,215,462,474,223,697,723,053,890,622,957,
091,250,382,325,754,535,992,044,408,161,132,825,686,647,944,498,367,558,090,
603,593,657,625,358,290,368,501,144,004,279,180,148,728,283,256,025,383,171,
752,595,188,507,078,695,960,538,970,257,967,549,112,957,148,170,575,025,088,
664,688,682,736,032,216,412,052,798,751,489,324,339,705,543,943,443,807,736,
154,866,856,790,092,721,354,975,716,770,105,731,399,296,696,768,256,913,327,
920,402,802,142,845,356,295,979,501,644,636,750,369,459,961,760,214,673,269,
306,557,002,670,397,341,562,184,898,342,934,073,699,899,208,034,594,854,780,
362,177,238,837,655,621,093,008,231,220,856,562,826,193,356,955,546,829,410,
682,260,163,167,849,939,168,647,539,609,185,497,216,062,055,689,588,571,737,
757,918,094,163,267,908,761,241,963,246,748,165,693,818,246,405,750,212,884,
466,906,842,922,880,023,744,826,490,593,210,377,074,958,550,634,554,546,726,
942,179,923,288,870,853,303,757,728,837,522,264,797,084,984,767,438,406,675,
202,104,966,586,877,221,389,987,356,513,273,015,703,491,609,598,468,112,050,
705,347,714,066,285,320,235,627,740,856,477,367,451,582,437,969,318,969,171,
031,404,812,750,655,186,762,601,673,300,504,845,315,323,494,847,144,403,458,
183,359,926,207,050,392,356,223,046,369,181,329,825,274,281,585,359,579,994,
878,710,306,108,154,615,816,121,602,788,159,998,926,545,873,171,506,940,658,
383,791,070,742,606,639,071,442,821,385,222,787,953,579,528,604,152,665,584,
428,216,615,052,608,572,602,959,751,680,906,047,047,821,145,164,996,698,899,
556,881,905,697,236,540,221,827,029,886,029,550,753,406,156,786,104,945,283,
238,924,503,872,179,363,671,605,114,904,877,274,119,217,442,299,332,417,581,
174,389,112,593,884,232,720,641,518,516,573,713,182,879,588,502,270,737,356,
051,733,350,232,342,863,237,579,731,872,519,479,550,293,889,477,867,795,380,
294,569,171,693,297,063,487,100,692,261,850,643,549,991,010,406,629,338,240,
885,144,874,074,541,796,199,225,306,491,845,847,651,696,449,601,246,640,261,
264,701,344,274,577,339,908,342,733,222,681,185,505,659,206,421,138,763,407,
500,240,983,704,731,399,303,280,485,270,653,336,752,456,318,834,903,102,144,
513,846,023,550,546,825,122,145,037,841,236,381,337,036,417,237,383,620,109,
810,797,854,049,248,958,852,277,856,712,996,310,883,725,001,440,412,039,543,
065,816,917,206,919,439,280,826,746,247,155,209,624,558,532,898,815,476,944,
643,751,151,579,603,583,370,798,904,582,595,339,150,594,058,413,545,100,172,
342,205,406,283,453,811,081,659,251,705,077,725,302,189,027,509,910,888,752,
716,805,066,699,831,466,264,588,101,690,754,916,086,490,498,403,321,709,056,
837,469,976,226,183,970,440,883,610,477,728,671,722,365,107,449,856,411,737,
183,089,485,815,496,772,771,069,740,496,130,783,273,159,073,526,355,944,715,
043,639,074,903,482,906,124,766,463,500,012,066,056,864,096,524,996,493,827,
851,895,825,233,584,980,839,476,144,224,950,225,992,913,494,553,792,802,030,
259,248,742,960,858,089,931,620,153,699,502,952,154,272,467,791,250,302,597,
988,891,677,985,941,263,648,413,177,815,153,300,794,290,596,024,433,549,883,
683,333,691,879,481,820,639,532,995,674,975,077,452,203,488,799,910,887,208,
928,278,450,940,211,518,825,918,239,905,821,564,375,285,159,870,931,054,240,
764,559,699,516,985,863,145,290,990,156,817,794,392,549,330,440,222,472,428,
335,925,069,935,496,678,914,614,572,816,323,780,990,375,221,880,158,364,390,
848,439,022,863,812,695,584,008,603,327,141,937,478,920,296,783,886,198,732,
447,382,536,625,714,794,437,825,230,336,018,830,448,550,016,040,041,249,653,
837,475,632,846,870,520,228,866,213,581,624,095,942,077,341,777,442,627,840,
559,649,468,306,980,847,749,444,980,511,804,560,450,401,781,545,401,093,262,
339,531,309,162,801,735,946,097,237,254,208,677,483,104,309,992,974,172,475,
000,213,481,041,433,471,445,182,856,455,760,246,267,545,127,147,786,820,036,
190,779,639,162,335,997,525,487,220,838,931,948,345,439,804,608,871,161,713,
292,408,755,450,330,623,716,749,693,376,894,741,973,872,843,419,529,342,757,
736,343,495,348,545,269,383,317,364,665,030,174,292,689,373,419,473,044,505,
766,355,881,074,761,307,843,875,157,445,687,682,426,421,749,618,267,112,252,
437,110,849,126,724,944,505,650,028,073,250,720,872,484,304,082,419,038,929,
509,821,260,853,502,907,433,627,681,050,247,564,600,063,808,773,819,224,290,
488,485,218,655,173,219,414,076,752,145,907,373,066,449,186,308,683,276,515,
667,017,077,879,190,580,349,427,849,740,255,081,864,864,998,608,895,669,916,
934,738,524,973,584,795,699,532,967,697,184,927,775,018,801,030,912,970,009,
949,039,688,214,842,502,133,570,425,978,303,216,775,848,081,946,609,817,066,
442,615,893,899,828,192,917,280,222,651,368,150,438,520,842,949,266,888,428,
149,265,018,634,503,180,784,825,765,864,655,130,374,933,029,483,574,177,454,
577,987,130,379,216,894,793,298,052,514,369,774,237,930,142,887,954,096,686,
697,867,412,681,660,168,065,624,498,258,058,590,314,986,050,378,596,687,027,
124,352,489,984,154,367,211,059,033,331,431,978,032,144,720,235,474,132,704,
794,923,188,537,910,691,716,731,096,662,673,184,998,816,342,298,333,086,382,
848,366,384,125,907,359,952,551,831,119,561,481,303,579,722,429,040,289,252,
440,705,915,010,645,027,884,504,435,888,256,923,866,313,239,271,985,362,692,
658,837,591,341,081,218,441,492,692,338,614,554,467,911,002,270,284,822,158,
032,853,505,305,158,381,405,449,650,843,014,306,846,172,663,030,936,840,107,
889,453,010,867,117,364,348,396,958,209,621,593,234,799,800,648,534,630,882,
311,373,757,750,321,857,959,002,112,270,100,758,032,697,760,919,388,742,428,
253,342,888,868,537,524,411,302,624,612,877,463,090,403,015,984,556,372,695,
202,915,159,831,582,938,714,658,929,768,070,632,706,766,873,942,341,476,169,
669,044,300,499,343,031,927,750,483,568,859,180,130,293,854,425,761,309,149,
855,282,550,830,914,147,699,221,693,683,931,174,536,810,307,063,038,065,395,
439,334,603,694,011,315,095,628,054,201,838,877,708,750,726,281,724,349,213,
230,872,210,850,970,754,203,912,955,932,440,714,831,021,365,689,600,589,111,
489,685,380,355,170,139,505,044,894,319,405,495,462,662,955,724,864,585,988,
334,324,466,616,155,447,632,289,492,909,061,545,357,430,090,221,636,082,124,
494,045,110,088,242,815,282,271,529,339,119,704,433,874,883,611,703,872,694,
806,429,139,197,891,295,431,759,496,636,573,146,638,479,173,348,289,194,525,
396,114,572,942,583,949,987,050,320,480,047,359,574,366,814,490,136,887,685,
161,835,649,845,647,782,099,739,827,918,038,676,554,315,968,988,945,818,178,
192,683,384,762,562,215,787,530,392,608,693,566,568,594,699,296,515,362,668,
200,272,245,083,930,966,346,202,409,933,441,313,511,005,855,387,173,643,850,
175,256,167,753,858,682,478,121,680,935,310,203,432,637,940,579,038,629,345,
456,057,299,426,098,201,396,307,834,829,907,591,290,840,950,925,960,337,031,
750,144,543,572,533,728,805,436,103,303,587,698,843,506,884,538,407,520,755,
225,080,375,921,365,548,289,156,639,056,043,514,870,077,270,295,098,225,205,
162,301,091,316,086,225,607,606,470,145,478,636,743,567,969,006,592,881,995,
791,608,319,862,462,837,632,157,144,549,789,111,075,958,338,691,734,637,130,
568,310,453,215,689,598,279,839,148,662,521,981,025,123,484,923,151,082,126,
101,787,956,911,582,007,995,754,913,167,486,154,363,859,271,180,562,651,295,
945,254,779,968,104,113,678,757,946,724,133,555,986,155,279,850,180,327,434,
518,851,803,256,066,913,688,483,909,394,022,157,921,672,488,504,214,520,755,
417,932,813,249,623,531,664,560,169,010,208,404,425,395,378,188,307,408,153,
277,460,321,639,187,946,922,290,181,022,971,532,308,596,948,591,029,145,413,
242,627,438,658,655,369,394,377,262,506,815,222,135,990,677,263,106,647,326,
595,857,870,839,419,986,532,979,747,077,119,133,159,487,698,669,314,002,658,
572,310,877,146,783,299,156,224,223,978,269,477,164,876,125,141,552,505,074,
118,722,010,740,930,977,657,898,659,946,877,727,842,204,023,188,962,951,497,
242,787,711,426,172,721,567,607,456,689,433,932,592,351,293,758,298,628,718,
626,780,503,810,429,210,336,463,296,470,415,888,563,509,004,316,527,355,336,
577,471,200,575,779,715,292,329,376,927,627,686,749,494,185,461,482,771,323,
460,538,103,464,662,743,855,300,645,905,731,662,780,660,032,769,954,282,810,
304,636,203,420,207,490,713,745,789,977,830,873,406,739,941,538,250,618,771,
601,962,762,054,512,022,596,883,150,488,022,360,286,744,068,587,803,060,713,
716,744,962,944,099,085,792,360,310,663,231,078,820,843,364,666,040,074,694,
645,051,073,362,969,298,650,094,693,765,510,399,454,469,199,716,529,541,367,
814,903,660,942,297,042,059,045,511,778,650,797,290,459,371,871,785,860,051,
905,229,941,413,871,487,777,609,832,617,657,885,818,040,035,010,632,337,289,
111,479,950,484,665,504,092,335,967,651,109,189,777,867,256,562,760,810,431,
775,260,566,187,557,231,136,149,759,665,177,509,485,114,640,642,936,019,962,
163,928,290,411,140,104,087,710,588,283,258,409,261,006,342,036,572,511,911,
549,410,609,763,942,411,049,621,754,586,887,225,755,675,664,580,193,219,799,
656,170,456,625,951,064,540,069,996,709,973,995,535,042,844,235,887,957,608,
859,422,535,644,936,446,409,515,769,733,250,478,503,049,760,607,508,000,719,
009,892,293,368,613,349,394,516,812,502,273,911,129,079,913,396,321,581,573,
002,237,489,783,323,295,265,283,075,504,286,002,025,849,742,486,460,312,289,
987,339,243,777,065,009,120,754,243,137,085,981,406,072,908,468,980,131,291,
623,785,282,429,267,317,975,978,815,298,566,141,270,779,664,318,813,042,794,
447,963,002,997,857,044,269,445,610,187,720,833,887,099,517,169,140,809,547,
760,825,803,410,092,655,142,634,278,406,083,617,890,492,536,675,577,420,864,
343,340,373,149,917,904,251,617,327,793,269,072,715,496,379,052,490,740,862,
785,468,382,691,182,886,291,338,007,641,339,989,412,164,220,255,553,190,258,
583,775,191,728,692,738,254,134,661,260,767,470,732,499,261,655,040,270,761,
471,814,423,041,282,390,431,596,062,429,376,882,284,296,745,369,341,837,560,
796,232,268,754,444,869,472,897,679,912,593,897,586,526,969,086,998,518,026,
018,098,801,232,798,520,139,995,821,293,499,510,642,291,006,824,757,995,979,
397,952,557,899,942,295,225,788,950,317,201,707,683,349,574,953,039,085,289,
188,711,069,180,448,748,543,934,593,297,680,927,288,506,926,960,053,600,261,
496,994,576,646,669,971,392,629,854,456,957,007,820,250,870,969,814,350,003,
916,798,558,741,619,502,086,604,969,814,013,911,355,191,112,811,840,491,665,
314,210,477,104,587,319,225,805,462,436,996,287,017,243,828,695,140,860,077,
411,735,278,896,826,968,641,043,954,027,722,097,281,358,551,486,561,439,461,
571,567,783,397,773,191,642,695,951,438,904,554,923,100,817,337,863,236,526,
287,012,781,010,520,310,468,483,888,715,428,822,237,756,251,804,465,633,407,
174,957,495,028,758,659,423,283,984,820,228,350,328,775,999,981,020,870,160,
699,773,806,509,810,165,752,933,646,668,086,827,256,592,739,233,429,061,014,
564,167,147,615,679,458,887,272,491,707,643,719,069,652,710,651,451,602,079,
188,377,091,427,381,416,439,885,612,522,211,383,929,850,925,281,967,416,785,
525,502,163,983,186,610,271,749,750,024,392,809,626,419,679,467,693,640,523,
729,517,863,360,655,615,279,224,057,371,656,187,838,054,049,428,186,668,247,
087,966,251,277,404,252,533,194,741,476,226,133,866,490,340,150,851,635,932,
844,213,306,548,203,470,332,409,062,822,900,331,992,481,042,582,184,725,893,
411,844,925,183,924,375,210,935,004,613,073,799,086,598,916,582,827,118,673,
967,820,063,215,006,746,798,139,136,351,070,826,237,536,811,115,792,158,581,
263,710,963,676,693,694,378,448,782,310,375,638,074,125,194,105,537,092,727,
160,495,046,281,109,046,362,453,456,295,118,096,893,896,344,538,058,521,704,
867,621,042,915,214,809,155,726,626,088,668,282,637,936,641,612,868,257,328,
969,741,184,570,826,393,102,704,141,086,022,644,672,310,765,670,853,578,131,
441,133,900,641,769,758,674,238,755,644,664,133,260,449,213,832,565,307,776,
188,777,996,483,920,937,740,026,026,417,535,481,333,817,735,475,658,053,530,
332,921,823,970,242,601,652,971,630,963,806,494,478,393,711,624,393,918,693,
746,058,104,587,993,935,991,642,843,725,810,252,073,219,122,590,575,888,621,
617,893,273,361,374,936,827,765,593,233,253,566,051,262,519,408,236,692,432,
890,335,821,871,479,215,211,587,816,449,132,575,865,898,449,058,954,623,538,
043,599,942,759,236,286,302,408,319,858,228,683,814,168,840,079,165,813,431,
534,468,209,377,629,974,045,578,980,260,218,560,411,623,647,590,745,982,358,
547,310,941,025,600,409,804,962,877,129,942,991,006,277,995,828,473,039,797,
545,987,549,076,048,847,214,078,787,061,245,574,814,212,675,727,413,031,826,
712,675,836,854,876,019,170,731,854,275,531,126,414,250,507,759,886,224,547,
038,979,285,754,964,772,907,722,431,954,347,711,932,796,153,174,096,106,583,
602,215,861,514,580,662,201,040,416,223,888,563,289,070,024,177,555,110,949,
794,959,843,548,997,415,314,222,383,890,692,831,183,373,585,140,069,085,950,
306,982,896,263,130,254,405,458,649,433,086,188,203,196,084,624,060,792,045,
003,396,315,536,568,558,438,047,425,836,342,266,581,480,918,125,876,579,855,
686,107,178,612,678,292,933,477,287,225,633,167,650,083,138,450,795,561,108,
515,104,902,564,144,282,565,628,467,676,776,390,625,847,725,709,635,666,673,
376,553,184,291,302,262,296,342,101,371,035,800,300,755,141,088,197,945,947,
800,104,326,731,014,387,023,680,793,641,353,807,488,417,677,855,880,073,356,
711,468,243,423,009,198,468,212,544,026,642,004,074,331,948,563,481,590,663,
870,201,312,470,879,820,254,893,575,123,906,784,005,163,737,396,308,872,157,
436,956,229,818,191,159,753,354,981,967,658,515,751,537,104,419,878,325,861,
301,145,627,445,049,989,836,636,976,037,197,974,100,625,347,428,901,730,527,
448,296,418,333,320,905,548,856,146,714,572,310,704,705,428,918,390,374,925,
419,805,312,363,354,021,759,173,335,476,329,499,733,176,061,181,642,774,395,
635,907,029,425,130,753,903,557,145,332,563,601,424,526,016,761,677,239,174,
189,142,346,326,091,359,671,044,444,253,554,055,123,264,064,446,070,032,357,
866,128,304,209,759,738,941,803,317,434,670,252,800,863,033,664,510,429,296,
442,329,661,280,602,205,861,886,953,645,951,708,990,058,485,616,963,061,381,
762,297,212,120,585,527,495,494,763,660,498,405,933,142,459,429,422,137,669,
937,285,251,691,890,023,955,819,864,552,902,783,443,331,341,819,550,867,554,
609,645,387,370,412,127,014,182,409,213,090,197,203,976,643,238,133,137,061,
936,298,306,238,888,917,004,736,404,361,591,629,840,388,897,740,545,181,796,
599,169,090,286,820,294,087,141,923,137,713,663,021,733,920,146,056,809,151,
968,109,763,401,356,880,713,347,229,092,379,733,263,216,447,828,595,712,795,
534,566,831,230,907,234,507,890,949,286,203,873,053,736,595,192,903,510,443,
092,441,733,766,398,166,838,184,478,643,859,506,849,631,933,882,094,954,908,
574,377,955,443,700,963,032,796,598,733,497,932,420,989,015,094,845,273,781,
516,802,591,997,617,268,298,711,819,921,090,039,414,142,191,675,380,181,444,
256,919,510,969,531,454,949,306,099,794,656,759,566,889,849,665,413,426,654,
733,190,989,969,645,697,512,233,108,276,326,658,436,751,628,640,101,561,984,
183,760,689,503,545,701,286,609,450,324,478,244,401,520,730,049,184,389,278,
152,805,583,067,507,761,591,429,116,769,213,935,716,934,030,469,904,236,807,
184,465,356,235,250,798,240,752,523,615,894,395,543,837,547,557,457,912,071,
138,178,885,727,135,984,171,334,314,028,133,739,219,607,934,914,464,862,448,
582,368,159,769,352,436,861,571,917,799,223,898,204,956,714,741,151,833,968,
835,767,860,962,436,921,628,367,622,153,802,185,562,481,733,694,706,098,611,
579,316,971,122,589,414,210,491,733,705,136,488,644,599,272,603,285,696,984,
406,467,935,520,792,526,365,867,824,141,023,078,320,264,820,186,325,704,370,
932,238,099,680,849,783,581,419,414,952,672,769,386,198,958,942,606,463,348,
879,562,022,781,567,025,392,009,757,906,100,728,310,882,977,535,711,573,841,
584,568,303,804,895,020,724,536,815,689,125,091,999,349,558,872,437,810,936,
200,789,925,921,028,830,301,841,106,052,522,089,783,814,737,221,967,408,816,
185,332,611,967,512,062,103,437,157,568,940,330,579,110,540,004,787,132,497,
362,611,389,594,663,416,981,976,560,824,962,225,250,629,376,384,685,851,115,
948,826,423,917,652,134,346,776,308,846,538,379,058,561,652,449,197,199,452,
425,403,407,171,208,103,442,708,842,105,018,411,034,290,928,364,882,636,502,
652,777,982,465,476,790,115,010,548,001,104,102,217,283,007,848,829,943,571,
057,766,215,036,834,077,797,514,477,358,325,003,367,380,699,796,923,289,525,
190,545,624,631,833,182,168,261,804,790,475,070,638,318,331,997,574,016,965,
406,406,487,539,996,824,337,853,771,667,216,512,194,917,666,498,086,258,262,
413,606,924,631,596,247,142,743,097,764,503,559,063,896,621,015,838,317,644,
222,393,251,555,491,784,567,045,451,736,016,190,074,038,697,022,494,358,946,
813,499,208,740,797,791,016,327,009,841,244,518,814,226,427,964,947,302,254,
535,090,973,020,048,916,917,963,575,163,486,400,011,147,898,504,386,838,610,
023,859,084,841,660,381,378,317,066,082,960,717,105,750,861,415,410,021,787,
498,407,525,881,148,808,769,331,526,764,015,306,652,423,687,567,297,377,648,
189,042,815,463,130,261,097,057,174,339,195,174,892,409,300,541,437,815,674,
586,694,912,707,999,021,855,577,554,088,535,432,161,577,642,753,823,093,866,
943,857,843,697,558,051,094,494,107,452,016,981,772,549,680,348,534,842,776,
406,435,683,651,911,881,354,880,644,082,870,302,374,734,882,318,442,866,954,
098,885,204,438,425,010,128,524,971,059,629,894,458,435,172,191,571,597,285,
436,816,958,107,330,627,396,776,413,328,828,646,721,599,016,068,717,789,866,
080,147,985,314,696,898,796,248,547,434,265,035,626,446,034,793,405,895,112,
172,452,259,501,782,517,087,631,313,679,544,373,388,311,120,136,185,522,362,
928,316,273,838,404,483,470,092,401,107,502,821,241,512,548,104,041,966,666,
730,460,751,729,793,911,280,579,560,461,282,527,859,178,933,732,143,468,705,
566,066,001,290,068,405,964,004,324,728,465,651,253,490,881,382,128,422,519,
267,191,193,686,612,082,435,807,001,223,422,714,282,339,195,306,029,579,399,
109,318,969,722,653,355,548,962,330,753,274,929,001,321,135,227,626,563,985,
658,533,499,585,038,443,810,557,887,633,024,257,233,718,057,980,644,146,723,
515,842,594,664,323,101,827,368,894,233,184,399,495,210,367,310,873,455,525,
449,654,179,709,684,446,104,869,958,288,372,755,032,798,554,463,468,438,603,
965,452,739,105,851,407,782,748,641,013,071,405,140,434,206,590,838,461,343,
872,532,592,279,392,848,205,835,841,278,453,341,814,121,680,202,699,190,971,
495,790,427,777,569,478,056,202,045,552,103,351,833,533,899,403,848,494,070,
291,056,812,191,648,238,194,801,341,014,007,941,848,109,179,512,033,604,850,
566,648,357,069,711,443,793,081,400,070,542,293,285,002,551,944,306,756,769,
088,255,951,892,246,228,859,424,423,522,754,024,677,199,171,137,382,064,997,
022,175,296,175,184,944,105,534,217,059,128,636,945,802,118,699,092,102,028,
398,227,797,303,767,964,841,790,546,606,853,211,127,041,921,877,726,398,023,
166,318,983,625,385,317,454,733,252,235,230,607,723,062,863,043,716,368,964,
641,657,568,749,173,090,570,180,701,046,439,449,449,000,587,896,211,113,709,
974,158,136,408,043,752,751,941,488,286,892,438,638,682,336,060,402,499,609,
668,838,735,957,844,193,853,333,359,511,735,617,664,874,418,451,252,770,529,
424,944,298,548,779,188,544,165,204,550,801,624,071,313,020,641,009,416,463,
983,501,778,332,409,517,451,361,546,582,793,754,484,838,522,678,098,740,655,
360,204,233,619,572,692,521,103,688,805,009,572,725,661,842,033,922,960,857,
610,866,307,698,448,410,778,024,489,964,969,182,846,927,786,182,735,522,295,
545,767,634,873,942,809,469,758,199,471,128,662,664,335,503,025,024,339,909,
093,476,531,480,335,092,483,151,285,732,036,677,518,464,158,840,303,275,883,
100,593,524,862,929,488,350,287,038,752,079,756,712,905,492,669,743,788,701,
949,401,806,062,735,133,781,561,592,037,789,964,734,047,539,260,866,665,089,
797,146,519,263,660,758,022,409,227,364,393,656,165,413,711,796,325,332,530,
928,918,851,006,109,333,949,620,092,114,151,463,277,246,533,957,468,665,763,
393,132,425,589,508,356,100,665,529,450,986,393,090,638,629,864,717,514,870,
231,936,985,326,090,146,572,189,269,073,677,524,669,087,752,175,166,662,826,
233,537,359,789,001,368,018,607,421,267,546,693,988,236,656,268,772,764,797,
923,324,263,988,928,318,081,793,582,377,047,924,176,216,404,407,706,625,386,
719,678,806,395,986,715,898,860,554,747,069,159,895,744,901,386,816,324,942,
650,978,498,129,162,889,609,695,902,056,768,371,932,532,825,498,107,024,590,
188,834,442,416,463,053,921,978,987,994,465,383,041,024,251,415,837,338,350,
926,900,725,680,076,770,409,366,419,456,050,645,332,809,488,083,706,412,643,
328,353,894,700,697,906,395,349,393,067,027,078,871,155,950,456,953,066,683,
833,828,801,598,013,642,188,978,676,242,353,908,514,439,866,818,822,219,886,
387,151,604,348,019,615,047,576,962,851,728,184,351,914,738,239,842,325,257,
329,062,617,851,316,093,035,232,554,574,919,092,952,428,003,262,112,850,643,
768,871,461,311,995,143,351,980,746,572,330,830,607,580,230,785,568,332,391,
894,115,142,359,823,820,525,073,738,400,434,439,869,328,410,276,707,772,222,
044,487,504,475,845,363,911,208,928,478,733,802,977,598,338,074,831,442,797,
676,534,320,082,516,057,702,346,551,768,648,996,256,669,750,082,492,279,717,
634,804,039,074,983,554,933,681,342,523,059,403,979,667,275,850,841,462,362,
909,478,078,098,221,196,288,456,843,829,893,755,689,727,525,030,246,086,470,
813,414,955,939,694,798,673,327,355,058,790,037,383,301,606,273,374,412,822,
061,136,324,696,347,142,556,100,194,294,972,577,121,743,981,591,999,339,783,
099,899,239,451,022,059,691,692,426,645,107,924,675,361,240,430,351,892,462,
834,102,516,301,050,578,258,764,235,255,892,879,992,288,987,067,441,210,659,
301,093,424,248,889,499,003,539,012,722,800,421,374,056,582,277,016,320,209,
203,438,897,959,990,999,082,953,497,602,757,663,160,202,942,562,374,612,911,
104,576,918,432,039,138,402,654,034,934,405,013,341,322,816,216,966,189,732,
665,735,744,683,647,577,797,346,416,605,253,813,913,029,042,958,696,459,840,
735,964,123,532,746,587,265,952,838,875,034,425,616,843,047,811,317,741,289,
630,889,262,598,156,243,906,312,390,879,663,415,581,389,636,334,930,835,444,
718,548,837,581,654,164,078,506,658,885,459,269,224,549,919,581,172,730,477,
095,330,781,099,483,658,152,030,011,177,940,487,150,321,210,606,395,780,350,
173,445,214,193,251,595,616,663,617,472,166,546,152,121,789,746,816,980,865,
017,138,987,307,677,257,344,660,247,002,774,182,759,158,508,019,939,703,285,
002,978,536,665,654,339,810,834,375,116,486,781,039,794,535,522,357,315,696,
566,669,909,812,692,119,522,653,948,286,087,140,042,001,136,314,327,896,756,
356,545,620,617,362,785,731,468,605,448,176,732,634,480,169,557,730,467,721,
566,511,163,826,430,645,916,267,549,800,918,203,576,834,961,595,252,899,651,
248,668,788,763,746,601,669,996,895,908,496,036,910,187,048,983,733,913,778,
485,004,481,624,603,788,402,444,709,999,408,379,949,726,345,765,977,280,913,
718,674,646,122,538,358,209,279,554,290,019,742,155,221,708,633,554,226,435,
712,666,688,855,632,455,453,835,272,264,724,648,110,129,728,208,631,987,340,
393,836,271,194,298,397,618,146,890,693,504,316,382,065,433,813,462,526,076,
539,610,742,917,427,272,123,902,693,765,347,326,978,667,153,386,215,572,903,
509,097,319,673,508,631,793,563,777,199,923,767,840,696,931,199,570,305,074,
765,340,317,395,443,130,443,862,055,884,353,799,580,373,151,614,269,782,885,
443,606,201,388,080,715,084,008,006,458,125,438,543,237,418,711,927,016,542,
502,497,168,204,738,409,451,218,707,430,335,303,768,743,761,916,041,924,881,
398,148,585,923,598,323,417,883,292,271,738,552,507,017,098,045,393,300,482,
683,500,207,112,196,321,916,394,063,543,809,055,872,732,220,954,240,623,804,
714,728,580,114,445,546,952,515,242,027,543,078,987,438,686,562,909,699,913,
718,076,269,084,278,227,861,213,709,526,136,192,320,495,534,956,929,949,526,
682,065,716,293,278,102,749,280,928,164,166,156,536,790,069,404,293,846,892,
774,914,069,922,195,064,327,124,458,075,932,613,063,269,350,988,457,952,925,
447,512,646,548,633,462,931,421,798,024,813,405,157,547,725,589,444,957,536,
834,148,928,816,340,645,316,746,017,065,098,898,639,460,670,996,165,562,734,
794,426,591,402,659,303,391,892,734,125,275,596,053,116,281,085,429,693,261,
759,134,935,723,570,782,083,120,274,857,904,168,016,717,331,820,862,075,415,
480,344,339,600,115,999,495,406,557,399,836,963,409,685,506,925,380,280,473,
074,473,271,731,345,623,235,257,690,714,928,441,332,116,624,876,758,335,122,
644,438,367,863,154,697,250,347,613,525,561,944,097,420,990,984,728,229,556,
850,993,161,155,421,658,239,674,463,558,179,571,612,920,852,938,056,949,833,
151,208,835,591,427,956,162,382,225,656,634,619,213,236,659,287,733,810,219,
312,526,876,716,230,144,185,225,500,510,054,970,138,142,904,490,468,159,596,
409,394,569,786,570,043,865,087,112,317,979,840,021,810,351,894,613,114,009,
506,360,558,276,685,342,126,439,951,373,229,559,701,678,068,297,427,817,643,
091,298,379,509,999,845,708,379,781,383,561,084,292,525,892,470,892,376,235,
151,164,801,052,838,811,203,950,394,870,477,773,402,890,966,394,424,258,209,
169,415,792,452,762,404,096,674,823,798,282,440,432,614,193,406,079,341,671,
281,661,168,068,377,531,343,254,178,678,847,896,958,376,544,410,215,713,804,
960,978,239,850,931,686,463,869,559,227,225,322,171,524,739,751,170,770,018,
637,862,387,480,468,194,331,547,158,414,115,400,808,682,421,560,716,902,448,
658,245,123,782,387,859,976,564,037,885,750,038,214,283,527,931,679,233,011,
293,806,472,865,386,954,657,205,319,260,133,910,509,817,260,813,778,255,187,
502,931,370,588,467,792,383,129,629,792,375,140,210,354,056,653,480,251,255,
680,880,010,926,213,765,627,551,071,471,424,316,441,539,692,605,215,929,680,
101,393,266,837,147,011,270,988,197,272,153,035,770,166,133,416,556,090,259,
671,713,166,377,624,083,192,613,540,498,357,887,192,233,424,411,755,147,728,
196,317,717,173,623,917,969,383,426,120,518,317,415,910,489,350,130,703,108,
551,308,398,768,012,898,747,092,293,518,427,713,410,601,832,727,363,510,294,
997,221,242,081,598,741,453,742,277,912,668,395,957,014,186,790,107,564,446,
947,173,266,456,013,019,102,395,455,966,412,301,060,319,336,028,237,214,311,
709,783,918,195,358,246,607,540,347,941,948,905,829,575,236,841,192,873,632,
410,358,002,012,787,431,106,874,470,990,409,174,804,440,136,262,587,545,037,
190,590,526,484,181,855,741,523,203,102,798,730,162,084,368,736,012,292,799,
509,864,463,563,600,088,231,190,404,976,881,886,116,910,416,095,372,609,094,
777,277,897,781,469,884,455,506,912,479,619,576,561,649,610,053,394,648,483,
672,729,783,966,121,960,782,266,540,719,591,095,389,855,485,484,885,453,307,
122,000,886,282,047,964,715,534,982,589,456,352,627,678,309,923,447,086,828,
664,219,762,816,992,766,405,375,946,793,364,521,526,448,182,160,787,600,808,
464,405,562,217,776,533,654,546,164,225,244,919,327,768,157,807,958,350,012,
953,607,726,027,354,826,343,114,320,782,374,267,763,651,956,535,711,592,736,
516,151,704,084,777,653,183,006,173,304,059,189,146,532,045,897,850,644,978,
238,040,684,101,843,408,794,765,933,088,075,347,678,759,263,647,958,565,784,
793,806,345,913,547,857,931,476,738,165,456,205,315,724,490,241,865,997,387,
452,450,850,190,822,892,276,447,142,165,638,818,945,575,349,170,474,472,954,
554,904,497,783,394,536,867,572,709,662,926,335,271,397,445,111,208,296,399,
977,855,468,082,669,402,633,657,178,220,252,500,556,254,108,011,545,747,901,
364,930,645,106,472,675,261,809,245,033,908,166,903,238,019,300,773,011,034,
340,826,180,310,314,654,216,885,372,693,648,116,021,517,216,285,268,633,992,
712,309,055,732,891,126,091,029,242,310,434,772,384,053,191,238,659,270,969,
631,673,743,486,332,514,380,095,058,100,433,719,964,994,286,641,512,467,665,
827,935,315,276,428,566,391,605,205,970,858,090,959,276,658,391,430,654,416,
830,261,455,132,489,695,366,035,011,568,865,852,219,975,035,709,269,770,074,
042,727,984,987,428,076,901,483,260,621,813,539,683,796,349,943,965,187,080,
212,746,565,149,545,739,618,606,659,607,784,853,780,610,553,106,836,069,778,
960,653,194,908,837,171,366,466,842,512,111,613,684,248,985,238,983,328,542,
929,244,333,372,593,587,999,017,327,415,496,014,195,884,853,029,808,582,064,
053,701,933,306,291,133,924,185,210,668,581,533,762,561,751,600,181,378,643,
134,301,995,552,822,921,132,138,763,531,431,929,619,272,419,593,592,524,714,
014,230,353,915,514,410,267,101,827,964,668,443,944,186,206,997,529,920,845,
250,238,601,305,262,461,682,266,513,774,278,731,166,569,007,288,633,031,821,
940,159,676,415,230,323,347,121,726,167,530,749,024,650,457,374,673,753,887,
265,847,167,970,558,952,868,561,480,791,100,508,907,578,574,080,838,922,896,
532,136,883,034,721,545,637,115,512,127,117,149,722,354,722,910,476,243,967,
262,383,377,506,520,858,094,746,475,617,070,476,917,261,107,343,503,959,156,
576,217,895,419,311,642,041,070,536,100,153,281,318,737,009,441,265,212,631,
179,493,493,181,685,549,710,749,436,079,015,650,246,651,090,508,047,803,557,
803,968,349,503,798,385,723,198,147,417,267,354,907,384,799,630,551,537,228,
271,795,405,820,796,769,119,881,958,859,421,152,780,503,566,606,032,323,583,
834,773,865,459,557,801,328,840,532,563,573,614,594,007,515,580,059,870,176,
051,540,071,949,725,810,324,051,583,391,578,217,010,859,520,094,587,371,588,
323,336,469,769,462,034,047,206,274,416,102,596,541,726,613,656,837,771,388,
337,405,932,914,336,865,208,967,473,861,089,292,206,989,535,703,637,222,997,
893,193,338,731,683,309,724,564,987,245,676,962,647,341,452,922,769,548,453,
795,156,900,949,187,897,166,657,159,433,464,797,094,240,418,962,278,028,836,
115,650,856,781,862,943,703,626,463,805,275,396,028,711,993,046,842,765,760,
925,802,850,191,653,709,934,403,676,220,856,343,254,083,563,986,377,123,346,
720,833,236,469,249,719,765,815,098,290,484,050,558,927,225,611,298,701,865,
038,153,571,880,141,896,197,734,322,582,398,737,644,176,564,618,528,843,396,
242,225,428,441,200,072,531,217,246,529,910,380,525,170,297,320,802,874,144,
005,930,974,551,695,837,222,415,283,840,827,811,822,285,465,392,643,828,700,
645,439,506,977,062,805,346,009,447,182,517,107,503,430,889,936,181,467,850,
240,278,482,796,465,360,850,865,612,766,263,446,433,803,469,840,452,121,513,
848,949,486,222,829,722,710,014,472,438,450,025,178,104,680,304,676,745,872,
526,176,086,571,829,679,411,000,758,902,267,431,737,157,337,916,656,958,442,
625,315,962,582,281,420,670,337,803,672,235,378,891,768,101,707,836,879,253,
831,590,329,177,134,681,402,195,462,701,166,952,828,866,027,693,980,783,731,
392,525,592,657,849,253,972,001,321,699,888,521,214,544,504,061,034,903,138,
531,185,709,333,462,458,830,503,221,598,823,623,368,390,997,976,101,867,816,
800,328,740,583,867,841,488,083,898,866,002,078,620,634,696,755,989,195,924,
773,749,949,895,920,102,382,837,067,778,531,453,925,649,840,173,771,452,406,
535,951,569,992,371,376,481,974,584,715,203,723,375,743,221,781,425,406,616,
489,346,515,011,530,615,163,120,885,098,541,720,986,713,394,010,343,546,262,
109,888,820,991,451,510,712,138,998,373,171,396,586,000,139,794,783,463,776,
405,817,533,032,240,269,134,054,930,227,996,279,137,255,323,908,174,203,180,
046,020,909,810,702,023,514,597,797,534,584,723,631,158,699,286,479,335,599,
458,553,058,828,152,076,115,255,163,666,040,021,971,523,375,906,020,412,970,
696,124,769,381,889,861,331,025,722,421,240,413,066,548,177,765,901,845,920,
939,547,800,722,364,412,851,357,914,437,500,591,550,553,600,460,056,840,313,
467,383,258,997,327,656,107,589,471,608,535,978,115,758,857,463,667,118,624,
617,250,498,429,686,312,448,452,866,682,732,285,631,040,905,164,408,435,237,
610,525,548,897,481,905,808,073,167,411,938,757,783,669,088,831,566,104,822,
355,902,797,103,336,781,021,553,135,652,942,101,702,612,661,578,539,051,215,
786,670,401,805,520,348,091,246,799,740,099,624,098,518,743,899,235,036,037,
819,360,859,926,209,220,445,292,077,222,691,932,814,876,826,043,381,471,753,
364,514,456,916,163,451,842,685,108,724,618,398,613,458,904,317,921,737,002,
479,716,856,622,231,692,157,124,302,011,556,854,442,130,127,438,703,019,698,
354,682,981,752,201,787,150,885,152,022,380,738,460,854,546,318,482,962,670,
519,665,914,447,435,929,049,636,016,122,292,406,410,540,553,235,879,758,808,
910,436,976,360,821,715,886,123,571,902,565,637,598,917,104,834,262,224,140,
539,751,339,332,235,581,335,070,304,530,635,301,910,187,381,260,569,921,428,
782,830,641,307,345,402,526,871,846,417,035,775,017,367,170,187,946,057,085,
478,833,208,010,022,348,332,602,516,834,252,094,351,481,558,620,259,598,376,
002,158,564,924,464,368,193,271,153,782,368,360,251,979,883,387,019,713,194,
098,984,615,785,240,431,303,509,247,346,814,142,098,732,880,737,875,583,858,
987,942,095,525,520,289,949,351,159,579,582,948,127,157,807,855,775,386,124,
091,923,911,569,347,838,366,840,277,488,693,851,089,953,436,132,674,283,978,
390,166,622,299,114,069,562,847,578,937,256,483,011,945,508,125,673,951,051,
681,242,879,572,530,828,121,439,355,246,560,230,541,730,129,840,104,499,528,
163,509,162,076,551,486,429,335,657,981,695,413,835,279,961,900,996,870,947,
344,831,060,940,367,737,287,500,409,970,074,248,282,332,179,048,473,334,466,
242,660,824,446,314,685,870,173,950,104,601,389,459,448,639,266,106,976,888,
956,275,414,514,816,059,528,243,047,344,562,904,545,433,299,263,628,223,279,
076,559,020,191,054,751,499,737,557,449,750,716,338,840,182,236,927,069,115,
917,855,430,480,147,434,392,277,149,619,177,804,342,963,236,667,666,446,099,
506,276,459,190,872,732,694,816,233,766,217,234,679,639,585,766,492,426,905,
651,250,893,075,834,363,947,107,658,557,869,701,470,590,840,919,634,894,900,
903,699,989,345,348,480,701,697,115,371,927,047,282,593,471,319,734,521,224,
684,888,906,773,862,514,814,232,851,780,110,161,460,569,654,056,643,822,315,
032,742,847,002,692,147,708,844,050,746,898,751,986,779,477,248,538,648,169,
283,856,280,672,315,263,654,193,166,153,593,353,778,198,460,359,467,610,329,
056,490,906,733,931,457,704,882,951,914,929,550,646,701,649,558,325,078,865,
813,678,798,252,920,499,510,823,771,047,395,024,826,128,489,761,433,395,844,
109,280,399,887,828,224,228,762,842,115,605,537,350,364,883,651,404,444,282,
346,608,263,924,179,031,166,369,521,719,335,626,646,879,685,476,669,062,121,
602,462,848,466,729,663,661,382,130,310,779,995,489,574,638,057,340,952,092,
984,644,837,394,788,478,935,861,500,370,148,326,066,585,365,093,017,493,569,
817,401,678,418,989,158,990,313,757,248,785,216,391,896,067,371,896,292,246,
919,123,248,759,075,312,269,743,263,404,467,660,450,268,798,596,642,262,115,
824,759,999,778,410,132,725,041,889,606,737,733,608,936,840,212,362,757,506,
684,819,000,660,123,101,183,017,292,253,260,994,648,596,381,417,293,811,489,
013,128,759,170,334,047,869,537,374,664,098,418,390,074,454,029,802,846,217,
000,216,521,355,662,535,055,849,021,205,363,587,002,341,859,470,323,787,124,
688,267,086,284,965,376,667,177,262,516,213,088,459,534,297,443,305,082,568,
473,885,856,722,782,138,638,212,509,195,557,206,113,239,529,431,276,856,637,
257,135,973,010,557,556,004,715,964,254,976,752,055,013,833,055,814,488,068,
137,910,481,445,615,256,846,489,677,953,550,006,623,150,859,677,386,177,429,
937,555,473,057,968,658,979,269,348,240,940,760,068,537,686,794,095,212,134,
487,296,097,975,786,158,492,748,179,435,149,920,504,931,607,253,228,837,499,
981,640,411,147,956,386,348,789,023,101,097,159,692,740,294,313,425,593,833,
618,847,794,839,605,094,247,206,508,968,302,646,325,887,802,688,620,111,822,
430,739,385,488,608,847,714,898,898,345,625,358,830,632,184,028,295,222,738,
665,854,850,629,089,052,511,528,965,929,668,249,459,195,721,769,396,245,287,
358,425,281,961,770,805,561,963,540,196,601,726,010,666,284,692,782,782,086,
735,411,945,060,361,607,527,511,234,338,933,783,682,583,829,539,716,847,497,
877,317,140,387,639,135,211,824,563,213,599,842,784,943,602,799,336,435,963,
680,857,739,928,902,748,165,300,161,384,897,230,187,330,707,292,312,420,617,
670,210,709,290,623,617,519,566,440,154,036,377,925,786,084,244,437,596,939,
005,953,271,254,793,532,943,998,019,184,033,878,029,551,212,927,293,144,874,
313,510,378,880,711,083,371,701,951,700,992,068,740,867,403,629,430,011,133,
804,995,073,117,739,408,698,734,412,292,256,672,213,758,231,303,362,364,028,
007,750,500,234,364,200,051,701,587,312,587,550,384,736,381,328,071,245,196,
837,887,725,006,529,110,514,523,502,564,021,935,539,254,077,078,124,308,339,
390,785,603,227,259,658,400,468,602,409,415,733,674,707,009,109,803,045,427,
009,001,951,388,174,327,462,539,711,996,708,128,886,269,827,641,138,314,824,
003,894,360,251,505,330,383,866,532,741,190,289,649,898,955,980,721,691,670,
416,364,060,490,956,107,003,259,910,220,389,010,710,609,220,030,185,057,245,
063,238,808,786,709,959,014,012,525,065,946,243,082,473,632,519,617,339,220,
496,898,158,506,892,911,502,786,386,694,212,252,885,977,807,768,530,197,871,
509,018,956,697,919,373,682,616,675,818,268,365,654,747,485,041,425,135,569,
685,452,749,025,629,656,890,065,825,983,103,711,875,552,755,714,358,335,074,
254,953,006,491,893,089,793,173,699,051,990,748,066,621,904,732,478,090,922,
288,423,718,352,499,505,246,765,593,265,566,620,044,988,624,580,747,227,522,
492,631,157,207,088,682,852,158,672,959,752,260,822,263,038,835,860,459,837,
647,483,110,597,513,970,217,837,854,486,426,523,999,978,684,879,064,769,582,
981,336,607,521,820,739,059,807,237,585,988,688,047,939,662,532,627,493,965,
228,748,288,041,822,266,976,382,493,526,570,455,505,306,322,939,459,845,662,
222,866,448,165,667,968,101,856,134,859,158,841,146,506,919,725,951,245,531,
161,265,644,881,312,167,018,080,646,517,386,868,261,570,115,555,217,333,074,
126,933,273,109,827,509,941,744,590,577,759,566,344,531,105,115,816,134,017,
165,212,666,334,434,824,113,932,269,058,969,521,544,798,688,989,184,342,870,
596,810,103,159,824,030,164,421,568,647,557,318,964,972,067,057,015,901,548,
845,240,214,032,683,564,627,867,738,318,192,126,653,773,108,414,316,891,302,
958,220,264,076,371,494,818,897,405,958,800,667,596,980,365,086,123,409,899,
877,261,862,898,845,130,646,084,198,289,783,325,855,889,551,632,836,217,096,
296,189,781,031,537,931,566,576,756,928,863,959,567,195,358,873,101,801,612,
562,881,327,587,813,782,300,640,895,099,212,573,331,455,469,455,345,736,639,
536,636,476,194,692,682,295,864,056,175,184,684,966,997,827,759,195,897,860,
472,310,672,183,495,391,945,117,051,331,483,688,041,081,682,515,630,052,896,
470,258,052,305,372,309,904,689,080,475,491,805,162,841,334,695,338,062,577,
616,333,868,101,958,342,965,609,039,005,822,668,113,483,881,544,311,672,416,
625,752,765,357,997,860,584,246,839,035,602,479,584,332,156,590,413,042,231,
288,329,647,613,744,706,461,479,537,227,997,097,740,352,005,150,490,791,476,
888,595,415,053,296,991,033,764,575,225,063,943,119,507,575,998,593,467,704,
938,018,855,235,797,232,956,692,115,078,573,953,071,031,733,627,693,758,507,
153,149,587,372,820,315,993,423,619,619,396,426,709,584,044,313,100,452,306,
833,039,387,528,266,246,810,139,407,291,779,793,718,533,712,679,099,664,431,
746,062,089,362,728,355,131,980,690,835,487,187,589,881,444,348,681,497,755,
121,570,207,205,977,202,223,794,238,373,169,671,061,078,074,537,705,214,132,
200,684,938,238,578,020,429,211,791,539,913,288,625,868,347,343,632,430,797,
947,428,813,219,499,317,557,212,493,427,424,401,695,008,007,515,852,347,072,
612,200,797,702,836,942,975,174,210,260,351,767,953,494,514,765,678,615,545,
668,718,375,915,780,120,619,430,768,582,688,593,840,710,589,300,872,385,558,
474,192,258,562,851,447,917,347,329,099,516,403,638,252,955,218,492,739,061,
617,223,740,822,759,752,770,972,411,677,431,916,866,456,692,213,229,259,753,
028,820,406,192,034,723,979,421,018,186,113,280,912,249,167,131,240,906,641,
144,830,313,028,829,887,839,507,808,362,120,877,541,443,584,264,604,946,994,
487,108,998,020,070,927,107,249,253,456,648,171,370,751,985,209,538,874,118,
276,102,736,931,429,708,606,496,982,745,984,115,031,531,559,637,982,813,795,
600,330,464,351,490,615,197,752,013,257,964,572,343,247,959,419,899,672,451,
606,803,229,074,406,856,232,965,718,866,794,551,288,944,549,071,326,852,611,
392,863,874,779,983,553,500,922,072,645,693,540,223,235,168,996,671,902,232,
313,584,606,803,951,946,087,123,495,407,390,643,058,481,908,772,968,791,337,
736,019,187,473,236,646,033,567,581,801,193,405,198,781,034,006,982,738,450,
659,013,712,052,245,751,314,849,471,524,809,317,849,975,038,885,793,556,874,
123,828,850,002,075,373,522,091,754,740,513,120,762,403,671,953,946,874,503,
363,418,171,501,162,149,548,046,178,461,307,444,354,340,099,176,166,247,332,
992,353,693,145,537,974,968,636,745,736,917,314,463,062,058,288,467,034,125,
600,781,311,806,795,038,566,632,481,934,186,103,209,120,453,175,310,168,888,
397,100,330,010,064,448,545,701,125,907,910,767,226,309,350,944,658,100,066,
392,820,080,885,360,362,561,137,286,664,507,958,991,165,627,859,958,041,148,
707,054,118,455,725,254,753,767,514,125,249,030,646,097,001,609,660,616,884,
015,277,343,271,422,583,411,506,064,766,986,354,202,215,838,793,841,664,494,
657,151,866,409,368,221,549,062,495,029,822,785,314,926,591,324,422,913,049,
831,859,046,246,603,129,770,213,759,889,578,505,385,396,813,223,669,172,445,
551,483,560,833,308,261,102,886,859,909,789,810,996,943,667,032,991,823,782,
259,048,801,721,216,007,144,047,042,727,278,513,739,642,688,699,014,957,942,
695,933,941,851,501,537,884,658,679,516,593,185,400,611,540,914,908,979,919,
961,833,573,775,583,069,298,677,910,955,189,007,614,655,633,762,157,207,844,
227,973,634,735,032,029,265,221,683,808,962,189,013,405,405,843,377,082,828,
420,603,048,777,931,263,449,608,653,602,102,292,701,326,077,276,235,785,795,
830,697,669,951,642,283,745,932,634,202,667,343,061,243,179,458,735,179,688,
007,061,707,093,002,734,802,506,508,490,441,522,736,427,907,437,566,566,013,
799,769,935,519,022,217,411,525,117,727,319,724,372,352,460,942,557,167,437,
156,019,700,794,245,707,711,043,026,437,942,810,854,242,883,092,922,502,982,
857,235,415,600,556,521,401,633,252,855,353,460,426,404,276,693,238,882,082,
487,099,376,781,930,970,006,193,512,884,009,928,065,331,734,160,717,725,868,
923,022,179,656,079,989,795,198,446,966,714,759,477,916,286,848,919,242,301,
330,599,011,946,382,505,656,598,310,301,845,620,310,423,661,835,129,521,763,
403,636,659,537,069,721,005,636,162,753,484,814,307,195,777,288,113,677,016,
234,369,196,839,370,238,230,598,528,388,240,563,942,636,291,687,208,626,333,
627,416,135,670,629,307,757,948,873,426,770,683,246,306,810,478,759,858,723,
961,364,341,909,626,119,808,131,126,288,680,407,472,880,990,648,665,992,329,
451,070,269,371,550,187,210,208,606,573,915,948,974,941,111,952,737,594,768,
646,819,888,615,097,127,120,953,615,270,824,186,308,152,303,424,765,909,994,
723,850,111,124,544,712,006,524,138,282,289,623,770,589,541,253,528,779,635,
819,238,932,265,449,104,149,648,289,589,076,005,759,840,199,971,960,968,572,
492,175,845,401,577,096,785,329,147,076,693,580,475,743,590,032,843,985,268,
488,473,777,465,180,892,441,366,520,442,563,124,919,365,772,608,366,102,592,
821,624,588,058,134,049,414,158,816,476,240,453,142,042,970,195,039,107,214,
946,652,146,518,251,645,923,914,557,718,601,339,603,221,774,386,370,158,763,
144,325,525,612,858,862,884,809,729,044,388,454,707,253,508,787,884,458,712,
492,380,676,262,510,482,864,712,256,051,987,984,029,524,560,757,490,045,185,
438,471,508,199,213,281,849,590,971,954,901,091,842,423,950,588,756,502,241,
718,910,904,980,248,747,999,333,963,181,671,089,305,743,387,649,296,742,580,
516,048,761,180,370,130,426,943,727,655,402,218,991,663,968,641,224,641,386,
060,250,633,038,287,847,779,944,788,102,570,276,214,889,257,196,348,305,517,
875,427,558,372,311,274,528,513,082,358,498,527,382,107,943,387,669,602,157,
262,867,926,427,706,038,910,178,955,897,010,003,364,217,839,297,697,610,713,
336,809,538,850,545,824,508,928,240,581,169,136,745,528,233,653,201,899,164,
482,901,469,954,452,196,107,008,579,556,523,044,369,692,324,889,328,370,367,
843,107,267,631,174,012,565,420,317,930,416,421,243,692,674,154,329,509,311,
774,433,774,297,502,602,287,384,227,601,458,349,810,784,017,339,814,881,518,
350,783,725,852,549,790,374,398,502,077,227,070,222,563,091,297,490,839,085,
451,786,471,557,463,105,066,404,904,118,269,254,916,185,942,805,029,672,643,
947,296,550,960,727,016,478,459,189,369,537,839,922,096,379,570,161,646,928,
422,792,551,024,838,834,924,724,945,535,493,467,120,784,167,546,012,463,299,
096,916,060,172,138,642,415,332,103,579,401,590,883,320,404,401,538,327,029,
862,193,279,203,834,913,791,117,119,451,755,044,030,827,841,643,753,753,621,
289,394,755,089,280,960,640,563,575,378,366,264,150,836,868,155,407,046,949,
689,995,087,514,921,116,434,455,037,291,926,942,934,793,603,664,312,082,219,
394,986,235,087,529,027,913,480,369,270,872,347,501,632,657,635,885,429,135,
374,967,336,539,668,196,419,321,235,301,038,658,091,527,337,139,549,613,760,
269,904,865,372,884,966,578,558,189,448,011,485,236,405,374,158,618,776,773,
054,875,266,332,456,481,249,679,993,018,589,014,508,701,314,065,268,403,990,
098,437,931,664,935,200,342,085,299,484,921,075,305,882,131,687,038,097,122,
188,832,101,921,699,457,104,888,208,245,015,190,736,805,995,791,397,214,370,
400,854,213,691,516,769,501,598,963,767,914,850,894,541,007,447,762,387,448,
523,272,773,061,914,667,437,351,827,113,229,085,442,077,484,435,974,920,520,
090,783,707,739,379,801,890,108,491,574,583,341,699,702,580,834,406,474,477,
566,230,515,414,785,984,296,594,812,335,517,154,408,853,652,581,458,818,896,
737,038,373,648,205,124,337,732,835,988,462,617,021,285,120,858,823,284,216,
417,462,479,858,121,870,835,110,115,526,343,690,054,441,453,457,810,976,692,
943,082,544,075,241,840,566,025,603,671,940,995,307,792,048,254,331,193,401,
636,302,486,103,698,637,706,099,935,758,137,555,360,648,572,436,188,947,913,
737,897,597,612,778,193,929,438,194,173,500,777,729,981,145,462,873,299,576,
338,983,088,681,090,366,727,650,629,425,632,231,558,980,477,188,839,017,982,
420,062,756,188,959,594,502,692,618,254,059,552,171,085,881,556,653,619,718,
202,245,947,848,150,614,958,905,572,630,352,197,285,940,741,059,316,880,331,
538,348,429,742,763,406,426,740,314,329,692,994,241,393,082,248,294,858,093,
279,320,455,488,576,814,640,173,285,660,982,994,416,973,156,679,936,915,274,
500,170,143,507,345,921,321,753,593,050,183,056,965,947,975,011,832,164,517,
176,890,717,892,369,539,063,607,171,163,036,425,449,958,579,100,874,347,296,
051,401,049,487,173,288,929,931,239,547,059,676,024,250,610,661,031,904,957,
772,382,026,966,267,199,638,527,272,458,671,834,610,201,759,247,844,354,715,
233,769,177,422,744,984,986,801,063,355,581,506,088,997,691,286,049,659,226,
378,978,332,116,369,985,489,703,691,523,383,697,108,911,437,449,336,616,700,
648,114,445,805,391,189,446,468,839,487,732,678,570,356,005,241,119,275,075,
832,708,362,029,176,577,953,802,886,952,203,874,408,070,697,963,115,782,544,
430,336,553,055,916,096,603,581,485,096,216,084,554,256,754,282,111,821,147,
258,506,014,802,147,872,804,555,836,156,033,294,765,213,110,466,728,979,044,
856,392,140,156,084,905,049,116,898,038,022,007,397,482,553,683,745,773,798,
941,720,447,647,840,468,309,371,345,684,904,204,509,033,765,739,289,226,143,
343,753,373,723,366,942,674,474,866,479,533,059,161,641,062,952,876,734,557,
515,896,605,163,430,771,548,704,807,920,657,262,050,917,173,227,919,309,289,
557,637,580,656,071,794,256,114,430,010,663,094,379,068,667,599,005,207,122,
269,988,860,624,018,464,022,753,704,314,629,993,482,977,369,614,116,871,745,
488,860,386,725,824,959,962,534,530,774,814,966,905,261,511,619,556,421,995,
157,879,632,607,427,259,263,661,659,867,619,160,968,851,078,403,314,185,234,
407,966,711,975,712,130,259,708,314,961,762,885,467,653,512,183,255,888,255,
193,878,925,942,835,573,517,927,182,401,205,682,837,389,356,004,518,204,108,
010,206,102,827,154,338,076,297,950,369,571,777,354,007,047,806,972,041,609,
106,897,566,055,626,576,801,698,573,809,893,322,544,255,750,509,085,776,822,
936,080,515,869,742,069,328,233,083,612,546,899,955,120,786,784,542,452,066,
810,027,099,772,182,786,534,842,418,132,432,113,784,747,624,353,395,838,754,
272,481,107,957,065,619,126,064,183,498,174,083,702,090,833,454,768,065,615,
297,278,146,474,476,974,184,313,916,294,476,060,617,445,077,249,158,994,236,
057,149,696,768,254,137,559,577,413,194,943,379,995,506,907,373,303,034,081,
388,065,323,049,088,569,386,697,000,602,292,056,813,941,422,348,112,478,053,
407,406,321,911,025,851,339,294,138,045,247,693,442,543,779,054,187,405,587,
772,429,710,128,455,568,847,885,805,819,288,195,515,356,578,644,008,864,646,
516,775,726,891,327,511,114,462,390,830,106,531,362,984,645,597,935,066,303,
331,689,645,159,626,274,580,130,875,965,051,219,212,676,941,628,569,223,782,
956,354,527,968,538,834,276,516,912,120,438,409,783,947,562,633,887,150,214,
552,822,285,768,849,888,391,154,823,764,510,594,725,632,812,877,084,577,271,
107,015,842,604,651,455,201,800,366,533,692,792,964,321,401,099,945,978,859,
153,748,298,775,982,752,269,506,194,482,737,134,349,244,941,622,967,697,520,
352,909,432,419,662,322,183,978,581,127,926,240,347,804,816,186,377,200,162,
881,328,495,509,422,922,358,665,919,414,579,277,473,321,636,231,814,597,826,
050,325,824,401,452,630,769,027,765,052,856,037,826,422,075,832,258,181,206,
887,745,155,061,636,027,601,168,129,217,401,020,331,052,242,941,450,259,440,
187,857,974,061,623,197,465,883,604,557,255,640,624,461,972,141,856,534,923,
492,279,463,715,329,962,434,511,783,433,426,305,570,387,283,432,295,100,046,
402,033,921,697,448,674,612,391,789,969,310,550,091,501,982,607,879,789,861,
258,516,280,418,762,132,893,649,135,229,442,027,487,563,523,417,155,983,985,
107,693,775,767,436,327,475,525,396,863,129,476,402,744,681,948,190,945,936,
920,382,363,853,633,325,575,745,168,291,510,306,776,612,282,092,352,006,799,
459,953,615,824,466,729,192,812,739,286,300,475,614,952,230,217,603,640,929,
455,838,706,829,094,959,528,544,600,275,290,637,478,183,023,472,448,950,652,
971,100,787,783,187,841,168,747,743,971,072,928,334,008,135,817,026,984,507,
982,571,919,302,691,124,654,567,753,307,330,252,865,227,784,749,400,574,187,
886,635,298,227,470,088,613,430,657,667,180,303,469,297,809,940,431,458,879,
850,230,838,735,039,816,360,615,303,240,752,829,541,729,745,602,213,313,642,
513,225,381,545,936,737,844,942,445,103,817,214,346,660,885,332,996,188,820,
306,010,558,860,874,775,607,905,152,281,714,308,600,840,216,488,487,955,444,
015,049,478,721,293,269,829,816,518,103,479,361,150,753,580,151,150,171,685,
727,282,095,017,373,506,722,096,730,576,438,476,101,025,737,253,386,235,900,
480,788,472,973,016,637,441,615,824,791,264,638,439,288,501,236,598,853,212,
020,978,818,969,318,717,964,412,387,827,064,710,858,728,900,488,797,743,199,
173,444,653,689,191,173,089,686,311,319,987,027,131,885,911,639,201,718,924,
211,770,058,661,068,285,610,439,850,176,275,108,374,513,731,409,010,018,927,
085,640,434,110,008,151,801,764,555,067,553,713,743,693,961,042,645,482,646,
546,266,115,730,579,363,062,673,653,902,609,807,003,237,963,622,325,020,540,
190,322,707,382,544,687,506,521,171,430,320,245,361,093,748,338,894,064,379,
442,523,146,830,151,748,859,761,687,588,617,712,298,667,877,594,960,250,836,
186,959,723,176,333,500,966,828,605,481,718,512,179,309,740,902,376,981,246,
209,988,046,343,839,029,132,765,289,185,511,827,578,140,258,911,331,477,803,
552,173,126,024,850,133,373,405,839,178,220,139,710,266,031,091,970,000,540,
793,590,510,885,376,797,181,773,572,436,109,087,778,368,141,882,054,413,285,
732,217,208,059,506,914,378,747,015,870,245,563,843,266,748,156,054,267,600,
868,931,164,578,137,358,332,710,006,109,854,036,793,519,115,653,048,200,260,
659,596,675,375,464,681,923,108,848,350,003,727,222,569,801,588,092,157,950,
229,240,207,995,080,563,257,617,549,916,176,766,256,905,754,583,098,373,669,
716,786,649,248,182,577,571,416,002,915,348,219,188,004,497,910,885,437,588,
140,317,076,045,360,706,005,004,138,550,676,325,884,275,533,301,192,594,488,
915,847,977,900,768,477,540,528,554,459,420,731,243,908,330,911,478,055,613,
422,888,173,282,945,275,033,547,372,828,183,340,129,370,958,678,581,608,365,
836,252,116,875,311,581,105,886,055,383,513,223,378,477,331,363,960,186,717,
122,563,609,664,777,447,605,773,799,461,739,250,162,146,522,991,131,123,241,
042,653,557,625,048,834,330,910,660,394,949,439,948,141,628,221,755,688,233,
598,823,819,184,813,228,911,742,368,750,987,584,851,740,819,557,704,332,659,
140,232,820,589,692,973,124,073,265,615,288,169,927,197,754,923,357,072,115,
005,326,483,938,276,517,087,980,749,344,736,542,938,902,352,707,185,884,074,
680,169,309,262,555,031,896,692,883,154,088,230,018,452,162,787,718,761,608,
063,052,169,969,083,154,633,085,605,346,875,881,951,460,348,200,164,137,928,
138,411,273,040,576,505,855,596,156,851,869,012,929,465,305,546,447,108,184,
013,189,365,684,460,488,360,764,626,252,655,734,997,496,872,445,733,409,408,
400,361,066,278,783,851,478,808,793,133,809,108,536,634,805,922,930,532,776,
609,997,467,182,239,536,302,834,036,800,833,203,030,691,244,558,052,804,328,
340,919,294,011,479,580,930,811,031,733,777,486,829,181,036,565,400,962,382,
738,381,908,397,259,275,481,652,566,194,224,609,694,654,209,993,316,658,248,
385,246,411,699,965,547,378,965,988,687,847,715,328,246,923,016,419,993,539,
740,614,674,202,357,365,850,662,865,420,421,867,297,891,518,652,588,097,794,
231,264,788,444,014,647,952,612,425,600,361,560,212,426,158,357,360,580,005,
868,294,546,745,902,799,320,772,844,650,597,963,390,243,830,223,928,808,581,
706,565,249,306,776,982,370,458,710,994,820,266,737,553,437,413,550,622,054,
853,378,986,027,164,055,169,708,578,172,913,274,957,919,115,058,351,992,273,
701,961,273,785,549,805,271,417,252,082,691,571,338,906,306,611,236,365,505,
423,546,837,877,937,339,088,925,574,285,287,873,755,695,264,685,243,635,017,
709,263,759,790,373,182,058,103,660,525,791,315,598,425,786,606,810,975,029,
236,354,267,943,908,936,033,220,551,541,927,196,275,361,248,834,606,388,193,
945,984,678,534,462,913,285,318,630,179,645,840,031,397,731,325,012,462,675,
317,189,777,005,585,656,832,734,110,885,016,373,663,892,261,885,528,257,952,
605,984,944,092,748,436,385,873,892,245,099,152,425,331,687,452,441,847,752,
849,656,314,249,019,864,211,410,814,931,313,090,771,252,419,226,696,916,421,
805,950,734,713,074,084,608,522,735,984,057,462,347,040,652,597,112,307,188,
363,596,855,030,633,342,784,436,845,897,525,856,141,391,600,865,133,822,093,
930,855,122,033,140,733,409,535,034,715,871,893,632,125,072,056,136,684,291,
547,066,157,083,070,343,209,401,500,273,205,203,654,582,533,007,674,246,307,
096,213,623,609,749,853,516,171,489,229,262,661,570,524,205,575,652,952,051,
610,731,366,610,062,790,859,899,145,296,746,837,824,553,447,118,209,837,937,
677,040,540,701,542,154,387,824,788,469,044,534,484,078,894,916,469,300,279,
677,803,889,095,723,289,446,737,921,586,124,886,758,649,009,572,089,202,864,
073,520,201,661,518,762,681,828,820,995,450,040,392,067,677,478,100,991,278,
615,275,852,004,717,163,137,448,215,458,976,425,641,209,498,469,812,306,237,
189,231,631,394,702,899,254,048,759,868,102,497,506,368,775,494,419,172,884,
845,535,642,901,339,918,174,755,570,680,662,854,353,623,840,473,431,593,000,
636,580,588,700,745,322,223,949,596,922,993,599,151,963,261,121,272,122,870,
437,786,658,497,947,863,975,541,763,770,061,225,080,432,339,938,884,737,340,
546,349,069,554,086,524,442,492,292,811,253,950,488,488,817,121,827,405,985,
444,269,793,945,295,773,174,311,971,595,877,530,962,518,370,206,299,890,096,
086,176,138,872,177,167,386,655,679,016,749,317,650,489,731,919,335,898,078,
563,310,776,067,350,000,737,277,231,165,881,276,602,153,656,707,691,094,449,
704,445,044,711,079,037,832,708,707,476,238,069,999,474,146,733,182,506,422,
676,160,999,085,087,197,540,684,200,501,171,364,093,914,561,866,052,474,859,
438,981,873,349,742,929,887,208,873,534,619,053,255,439,407,690,652,606,259,
725,433,869,137,379,443,453,949,379,113,635,041,770,090,378,571,220,332,490,
350,191,862,586,087,781,511,465,911,622,337,479,048,840,535,569,963,822,838,
041,037,340,740,601,882,433,216,398,435,100,320,784,739,141,132,061,799,637,
205,571,163,405,779,174,574,246,941,847,554,429,375,008,652,139,622,463,833,
006,580,882,566,386,956,175,600,421,659,539,396,387,472,333,207,406,734,187,
093,858,291,095,155,570,141,693,344,585,987,497,810,457,040,518,526,293,547,
007,932,623,177,023,613,928,270,951,003,159,772,415,688,512,407,207,287,938,
418,933,897,840,506,757,939,344,795,542,396,922,597,876,106,806,153,697,041,
950,995,904,308,092,532,052,363,066,962,009,527,110,804,466,708,867,725,713,
634,508,094,376,042,791,270,525,954,378,868,538,321,579,359,150,473,126,161,
233,934,017,369,363,269,265,303,246,042,167,377,235,543,600,037,452,953,124,
481,659,761,152,302,148,068,480,194,680,518,240,008,944,217,088,949,909,480,
720,917,125,746,056,939,364,088,137,011,364,658,508,265,537,449,896,392,818,
580,737,400,163,568,763,504,896,821,864,245,748,968,256,454,297,276,794,180,
618,059,778,282,824,855,956,829,758,557,265,279,015,489,676,459,695,892,891,
939,786,302,926,258,657,254,519,340,482,594,212,942,602,966,796,388,064,324,
031,047,972,228,946,032,330,634,217,978,776,333,758,296,909,488,275,154,960,
135,068,569,662,687,112,293,176,097,525,234,658,863,851,871,614,615,928,734,
224,637,941,291,282,979,903,641,444,066,072,268,754,646,423,230,037,562,305,
562,324,175,561,379,700,210,987,924,033,315,934,567,620,146,798,629,380,136,
645,818,041,719,138,294,405,499,661,920,566,019,595,298,248,022,035,766,698,
622,711,167,873,115,595,759,195,020,751,366,599,405,667,142,064,236,724,547,
916,145,239,912,682,141,421,820,921,617,624,644,493,670,465,465,267,825,769,
628,376,430,368,321,257,394,421,907,594,041,450,031,229,131,000,012,305,701,
198,334,118,334,836,140,264,599,727,859,465,518,737,034,658,439,772,212,783,
687,929,468,186,663,040,619,319,362,340,205,556,860,618,535,733,914,598,065,
965,321,916,748,576,923,702,851,090,002,510,118,875,488,529,436,189,399,221,
446,452,320,017,749,290,761,720,412,958,229,029,503,387,664,711,117,484,359,
541,597,157,025,690,205,378,460,831,829,199,569,516,972,378,608,676,036,218,
787,199,895,980,204,366,236,077,236,881,280,066,218,252,023,584,860,856,900,
909,718,138,856,585,914,863,929,901,276,936,424,599,433,313,996,349,817,621,
628,617,119,013,011,778,362,128,828,988,751,326,925,173,132,692,181,207,120,
996,903,547,017,695,682,531,171,434,745,414,209,098,989,805,841,176,271,144,
056,280,786,757,789,766,757,421,764,544,648,318,902,519,642,053,495,237,918,
038,989,574,383,643,723,037,164,819,008,335,397,710,878,985,712,356,453,087,
792,705,857,350,299,208,017,730,304,261,400,399,245,641,794,254,818,576,104,
239,184,552,556,088,015,587,810,179,796,953,175,769,813,020,162,119,286,822,
931,253,453,254,592,618,914,734,363,367,448,528,303,899,333,943,063,039,355,
718,222,683,097,454,743,194,477,037,123,942,029,930,111,500,068,771,814,419,
154,934,953,302,670,170,068,094,514,022,075,387,907,418,165,681,528,959,817,
731,802,363,471,375,349,330,138,474,090,182,481,745,300,455,373,812,955,885,
430,045,083,499,451,778,927,786,587,004,397,091,711,294,659,770,714,818,705,
482,547,237,158,610,372,932,677,391,057,022,994,635,611,827,434,347,659,667,
593,952,487,301,040,629,093,592,439,134,901,090,644,826,560,563,337,915,638,
745,894,261,644,421,602,149,354,501,683,176,105,029,819,201,569,727,260,362,
074,848,547,008,050,771,446,715,804,090,472,312,728,971,712,065,796,956,505,
796,726,036,277,527,098,158,048,370,838,503,968,550,762,383,191,996,648,557,
555,477,087,366,835,693,688,657,935,488,194,366,797,142,709,637,267,191,224,
828,671,288,499,399,740,128,795,338,306,372,155,673,481,335,829,268,297,442,
934,811,670,819,585,330,192,041,047,889,693,919,718,481,645,068,479,005,826,
666,769,878,789,510,781,474,835,775,805,234,828,351,470,783,773,064,051,251,
167,528,640,436,940,111,337,882,894,900,603,766,969,932,166,131,749,458,538,
710,848,100,899,580,336,470,986,254,214,629,422,009,272,198,655,370,256,050,
589,206,385,592,145,056,114,484,409,388,899,309,388,290,325,687,833,364,048,
041,673,654,288,568,399,332,433,882,196,392,143,768,912,081,058,642,174,076,
762,079,256,286,765,817,069,414,486,981,597,401,151,876,910,157,809,087,240,
114,345,265,195,606,328,336,095,067,694,816,230,449,337,950,569,050,026,439,
777,219,445,015,254,189,455,494,736,743,363,880,172,955,622,801,871,289,091,
095,463,203,633,853,866,814,227,661,124,267,728,010,583,546,997,822,747,603,
848,359,356,678,515,087,859,630,853,671,968,260,969,547,024,321,046,658,841,
395,451,441,163,270,073,996,006,419,047,939,365,069,059,347,939,897,404,232,
252,134,570,948,829,905,903,103,877,458,807,394,318,640,723,316,383,749,384,
352,178,109,299,697,941,155,103,461,567,516,236,382,292,928,375,187,908,356,
376,167,303,228,796,763,636,977,714,855,856,207,465,692,014,761,033,579,363,
658,268,818,833,169,018,873,101,299,061,472,222,132,103,345,439,061,519,864,
626,814,354,055,329,930,293,730,199,180,162,415,438,019,766,208,378,303,111,
397,918,856,043,911,667,262,358,781,849,476,281,248,430,856,863,570,447,270,
289,830,118,145,692,107,396,794,374,046,924,118,389,277,273,846,946,831,894,
683,743,140,670,384,753,660,280,939,356,570,514,764,731,460,745,815,818,329,
834,721,577,133,697,494,033,246,548,932,164,350,407,767,930,045,019,413,165,
403,181,800,084,585,754,328,885,610,574,089,452,565,395,797,712,541,812,046,
962,942,743,630,459,899,365,413,903,600,157,766,906,289,494,014,378,151,735,
993,753,168,803,737,525,852,733,638,893,260,027,508,901,024,205,025,860,133,
310,597,317,561,608,300,160,509,634,438,049,007,360,844,547,856,826,275,974,
145,383,742,483,561,286,445,314,617,758,619,130,158,039,561,269,020,047,639,
463,129,996,239,915,536,171,247,566,009,592,684,308,443,361,483,963,281,822,
269,784,768,495,489,572,186,385,794,799,771,472,540,123,457,803,683,540,045,
497,954,428,405,682,593,557,504,117,365,550,467,699,023,047,921,204,136,656,
620,012,499,197,183,940,941,502,228,393,730,064,912,612,131,009,126,516,101,
227,455,047,304,239,347,899,087,770,443,976,749,553,542,347,562,813,383,360,
649,083,156,585,554,244,763,578,495,088,691,071,090,343,234,205,988,741,260,
760,742,821,394,203,817,411,185,647,048,074,924,391,026,895,389,638,415,615,
323,398,690,195,534,754,038,226,894,119,055,299,672,579,317,882,642,106,153,
029,834,259,589,821,450,823,657,006,130,816,647,028,783,534,498,123,583,059,
765,747,159,340,273,434,856,741,194,470,021,411,079,729,783,907,254,925,060,
165,087,813,946,255,543,956,956,598,084,040,001,920,079,337,339,624,017,581,
604,429,338,959,257,809,337,277,102,087,599,624,179,993,838,687,999,491,508,
940,873,326,344,780,714,740,895,755,306,839,834,317,635,942,219,843,210,053,
157,167,838,182,537,096,093,710,698,014,375,531,372,004,935,076,276,099,832,
233,122,185,048,640,942,383,334,067,312,462,770,348,997,074,108,364,723,868,
446,172,518,273,154,211,073,428,999,168,659,766,285,293,748,231,037,939,690,
050,873,964,443,802,275,210,275,372,554,970,501,962,287,373,179,716,111,887,
320,954,031,461,163,640,314,143,445,276,618,692,693,585,839,240,761,925,751,
804,233,969,328,334,729,350,072,166,164,544,362,588,688,927,868,021,078,657,
081,418,983,608,732,438,782,031,075,463,443,533,981,282,641,877,248,732,298,
904,198,821,429,674,923,243,624,522,910,256,604,269,123,378,083,156,335,999,
461,966,609,299,219,425,277,001,828,672,177,528,370,743,841,939,395,123,042,
778,339,160,015,830,799,819,558,864,515,045,976,526,906,195,847,574,879,465,
187,500,127,239,629,504,571,814,596,545,571,628,278,701,874,659,532,213,965,
161,436,613,284,422,673,926,353,162,262,367,706,412,506,077,196,147,609,489,
133,634,429,294,494,099,277,895,599,676,413,324,146,539,142,280,824,800,854,
218,772,079,076,596,979,629,680,356,956,397,973,852,925,241,690,292,456,825,
621,208,873,552,655,079,959,572,609,158,984,265,629,082,518,963,370,839,568,
003,520,703,647,075,841,312,872,625,035,740,732,535,658,653,027,968,012,685,
597,149,706,285,801,074,271,187,437,843,087,346,807,274,144,393,559,881,221,
455,678,098,348,695,862,285,022,976,123,042,693,113,754,070,276,961,478,917,
440,002,417,099,821,318,309,760,720,893,712,686,048,795,548,633,268,358,134,
210,055,127,935,627,373,749,087,275,243,193,918,046,872,589,507,905,228,207,
939,976,770,333,881,885,741,832,435,825,109,470,616,267,913,419,848,338,325,
391,318,757,870,139,500,991,712,730,158,840,498,831,493,225,463,464,498,825,
552,264,728,932,137,323,316,655,246,235,640,806,394,110,154,580,744,746,434,
364,358,094,252,187,226,746,182,821,869,186,890,785,947,527,548,738,088,593,
784,978,593,611,217,430,447,021,508,763,610,221,407,021,815,965,109,542,333,
017,426,508,705,945,970,959,291,484,238,934,277,410,014,164,632,995,930,019,
173,246,666,056,897,931,087,938,231,734,757,911,195,583,929,313,941,992,873,
672,801,647,975,256,852,335,607,523,943,983,472,874,034,499,577,984,989,108,
911,605,380,965,117,194,957,976,490,001,464,786,709,692,500,632,513,457,313,
119,042,434,586,903,004,496,429,336,785,131,176,341,250,109,936,386,523,155,
316,346,155,153,421,233,462,028,434,675,804,217,396,430,218,807,622,176,147,
820,951,899,768,708,355,107,079,714,223,512,284,614,794,038,544,974,069,666,
020,322,861,951,807,791,409,277,541,007,527,743,689,437,484,697,353,402,317,
932,668,193,068,462,711,986,770,144,326,942,069,161,915,555,380,654,535,814,
727,315,181,734,731,103,973,673,792,961,998,624,977,331,880,994,245,235,442,
513,964,641,857,128,585,458,497,900,475,939,433,801,263,314,484,149,089,657,
771,815,157,534,459,048,456,451,032,661,591,740,220,565,053,644,330,801,066,
248,929,580,800,194,604,165,388,657,529,867,380,853,661,495,290,955,297,938,
891,136,882,772,503,501,815,949,966,303,006,146,585,124,049,044,091,707,221,
549,198,067,880,857,684,973,751,798,064,612,509,740,000,556,811,999,563,082,
589,954,660,473,342,688,640,860,320,867,285,540,650,629,020,772,712,164,921,
032,553,348,670,785,742,502,508,284,654,304,302,939,380,801,039,278,250,999,
627,228,244,073,142,375,072,226,547,476,099,946,422,389,580,412,444,682,323,
877,264,636,740,492,904,013,010,893,394,348,331,536,440,236,624,816,617,143,
558,159,558,517,970,647,110,383,430,100,144,364,647,888,299,633,863,221,797,
408,496,115,994,688,224,148,039,348,702,323,398,295,363,977,735,345,702,623,
475,767,441,135,243,292,988,401,765,460,618,877,835,994,542,178,690,262,298,
149,385,032,780,158,722,226,463,614,893,337,232,559,354,613,128,998,820,310,
509,226,391,023,114,101,085,481,030,050,740,008,789,144,056,080,560,515,537,
060,389,354,797,027,962,740,472,378,219,601,905,425,816,013,611,659,438,009,
694,979,878,505,254,887,519,788,305,810,433,996,979,750,425,546,592,886,217,
249,682,228,913,335,748,301,017,274,126,216,319,374,908,230,752,601,356,655,
742,294,834,560,689,508,500,271,253,772,220,485,849,793,477,792,735,595,932,
844,286,937,823,081,575,568,473,092,393,926,060,699,315,502,648,147,895,272,
578,508,929,202,305,083,474,464,202,596,794,407,589,680,926,792,189,402,544,
238,783,708,252,352,067,728,946,704,531,524,648,746,735,500,089,874,000,957,
529,524,742,963,001,445,577,880,446,132,624,627,578,638,014,871,349,858,373,
568,372,801,148,439,655,418,928,171,029,248,719,971,267,710,063,463,701,100,
976,794,508,616,174,792,807,150,696,507,467,804,916,194,611,696,240,264,626,
650,203,740,635,236,167,096,388,356,604,466,771,050,491,003,538,750,684,611,
064,380,264,734,721,511,921,461,430,552,530,984,595,801,795,314,656,064,561,
896,508,664,421,395,690,678,504,376,947,544,473,825,990,606,706,856,570,276,
077,467,569,131,626,364,802,986,946,969,693,433,035,126,924,130,205,303,759,
607,185,588,222,408,043,103,619,657,342,956,304,520,232,761,064,743,138,758,
509,023,754,442,969,261,006,361,529,604,848,464,425,222,940,854,906,225,447,
675,389,288,544,322,022,962,748,507,808,929,025,931,601,458,744,932,760,921,
146,086,428,733,952,436,186,868,761,071,605,131,384,542,143,831,556,699,549,
633,209,031,653,747,500,090,117,359,580,211,909,784,687,904,416,819,525,787,
961,000,311,637,492,758,888,015,129,175,922,895,754,647,959,347,188,332,438,
844,980,021,477,965,894,079,433,814,469,697,566,830,691,441,238,925,625,564,
481,931,321,666,313,322,824,049,699,944,775,331,992,016,661,589,842,884,469,
941,692,062,934,523,968,637,476,498,241,769,670,816,407,383,432,642,917,093,
104,257,047,178,092,575,003,776,875,493,003,040,813,152,117,582,222,155,185,
883,956,100,476,333,511,627,773,386,614,986,906,795,289,922,120,834,003,200,
233,156,423,358,024,166,536,662,181,231,003,536,581,078,681,074,402,883,840,
786,027,766,735,970,742,839,123,447,254,098,701,838,175,445,450,056,011,412,
521,194,785,375,483,485,332,593,470,127,591,196,807,060,690,369,274,350,969,
592,485,305,452,203,100,793,861,638,939,023,652,595,445,440,090,809,067,973,
959,228,153,226,984,703,773,200,235,091,116,214,337,036,836,690,972,416,537,
492,511,776,790,534,080,021,923,414,120,135,699,969,395,127,219,794,807,953,
144,880,088,450,710,064,787,952,038,498,692,375,831,698,218,280,462,797,261,
429,602,781,723,134,552,421,339,409,714,349,789,019,015,837,207,915,584,413,
316,142,003,788,994,397,798,348,759,112,264,035,231,917,859,346,418,386,552,
609,543,863,638,524,269,698,444,572,736,339,348,416,683,530,306,535,410,686,
080,902,327,567,375,658,216,785,187,438,699,239,375,282,514,704,063,419,651,
370,113,411,544,481,364,722,936,175,100,901,006,360,863,786,319,223,733,883,
941,631,169,741,659,876,581,950,429,323,163,670,101,846,651,838,239,884,937,
532,064,340,912,775,623,441,184,924,964,760,800,330,090,789,547,026,780,303,
752,532,282,281,892,932,330,161,539,564,731,447,473,010,077,399,593,180,101,
468,394,731,092,746,785,033,110,998,152,353,945,434,135,481,917,338,759,929,
761,065,002,803,485,840,706,503,262,026,469,311,886,503,783,913,415,663,169,
790,956,598,263,595,119,022,118,371,970,967,567,214,102,476,242,576,362,822,
763,920,823,852,829,665,514,733,490,830,705,098,142,650,427,285,538,544,667,
210,994,885,292,195,952,908,941,210,465,635,444,712,051,709,200,222,651,393,
100,312,997,167,370,579,558,981,585,393,401,137,994,037,081,160,271,226,104,
235,085,936,441,590,296,617,444,338,050,601,985,359,211,267,872,639,712,209,
558,635,502,332,741,825,546,840,895,975,824,865,289,170,966,905,509,137,193,
687,089,271,119,437,698,832,553,799,133,181,168,768,862,499,854,890,366,461,
914,924,503,451,388,550,273,667,925,395,958,520,795,778,829,916,448,585,525,
136,337,370,993,418,601,867,449,278,455,568,923,487,471,292,444,259,522,079,
043,126,071,962,632,843,949,639,076,567,390,998,779,005,804,020,061,680,940,
734,391,222,215,532,288,917,556,963,014,266,119,628,716,957,206,746,173,371,
132,800,593,203,063,240,541,293,121,889,501,815,775,072,862,439,251,072,944,
874,003,127,464,268,341,523,036,493,646,944,234,286,212,700,186,691,492,003,
755,762,607,605,388,224,402,542,647,163,164,284,950,234,197,567,500,961,742,
314,680,086,935,367,698,461,323,534,830,533,994,991,749,621,664,575,302,613,
148,059,285,701,864,345,858,866,829,667,918,436,094,758,304,525,871,969,542,
209,955,694,124,344,206,418,481,830,956,848,950,041,898,955,657,343,834,470,
641,723,746,098,817,738,304,787,398,997,562,483,330,936,497,779,082,123,678,
521,814,078,976,816,285,958,278,890,924,816,929,756,877,021,652,749,685,961,
204,419,247,771,507,705,078,767,434,914,765,750,427,912,407,358,093,072,904,
725,363,713,184,549,959,994,852,587,519,054,531,329,388,994,612,914,589,188,
615,797,962,093,492,034,436,226,238,962,188,453,037,285,543,747,667,848,139,
914,476,476,420,783,550,897,553,341,917,517,688,786,538,529,323,078,656,176,
301,986,384,975,265,767,019,086,517,944,938,153,020,088,215,160,200,334,663,
439,544,538,613,077,661,007,781,105,090,058,622,011,356,445,186,051,035,230,
046,939,576,476,697,735,071,226,632,076,585,441,029,015,695,216,427,152,787,
555,573,251,750,478,067,340,684,625,275,523,865,879,845,795,768,197,179,790,
013,153,052,918,373,816,196,025,693,027,572,314,076,297,800,815,468,676,786,
939,775,284,949,349,095,220,794,484,818,007,912,751,433,567,908,421,822,339,
592,186,189,894,217,275,311,760,371,093,167,459,957,682,257,767,318,994,427,
574,864,389,138,218,402,688,809,981,272,438,130,189,177,238,949,376,014,533,
372,516,641,917,004,857,117,525,833,546,248,294,005,040,025,708,017,975,198,
360,253,239,823,217,093,948,061,979,445,181,670,490,783,184,061,973,634,649,
939,246,472,927,716,726,736,578,592,677,390,490,785,111,381,372,919,280,984,
283,179,575,458,495,085,815,552,808,889,386,613,748,564,110,489,464,941,312,
568,923,272,878,022,783,411,567,114,100,656,731,888,343,007,447,420,069,227,
287,423,617,148,360,554,770,933,713,193,147,398,796,192,022,769,576,952,488,
532,683,320,882,061,495,571,461,091,399,979,855,086,421,260,497,257,491,045,
794,543,483,414,197,387,352,608,144,065,676,160,705,058,303,798,630,464,055,
883,219,379,263,332,705,211,193,666,804,162,162,572,224,137,400,396,087,609,
198,474,843,407,710,478,199,205,346,278,195,376,709,746,120,203,665,195,648,
297,743,463,354,903,367,587,129,520,065,555,670,816,891,351,100,699,529,611,
142,598,121,325,884,447,928,396,812,573,643,432,087,387,935,291,162,054,208,
158,550,453,938,141,890,804,358,911,311,987,982,478,923,328,287,797,587,493,
229,069,708,885,918,161,115,391,210,038,740,878,083,888,233,093,049,941,671,
804,878,447,406,843,613,417,729,279,200,189,678,391,465,909,183,218,454,493,
877,869,666,579,006,483,165,410,211,218,188,363,854,263,571,852,546,976,916,
526,105,058,005,349,920,361,039,616,595,634,835,577,064,457,937,249,213,073,
818,854,816,138,928,572,796,624,651,955,991,402,003,526,417,823,451,138,580,
728,250,538,937,666,378,472,663,179,481,918,128,620,060,487,926,264,993,558,
129,484,075,043,383,115,312,250,994,220,834,113,867,277,756,306,438,619,771,
744,368,576,422,731,239,572,404,692,361,246,485,925,185,497,061,246,695,072,
550,766,209,439,038,581,153,708,536,964,044,116,751,500,848,817,490,995,596,
205,939,499,542,734,074,292,540,694,818,019,815,708,759,465,031,571,804,702,
043,013,961,970,332,762,100,740,406,317,572,271,655,262,967,884,537,169,591,
870,528,014,740,853,906,597,402,617,917,347,364,775,757,101,752,010,043,489,
006,468,347,574,033,215,357,807,513,896,432,565,731,774,982,150,136,432,095,
974,075,819,201,290,659,417,981,869,221,949,566,369,110,913,341,854,650,588,
762,384,024,259,749,880,081,113,416,831,179,589,589,633,548,969,094,269,450,
458,814,698,804,762,400,123,018,238,954,828,787,537,818,281,133,131,563,480,
531,004,793,524,526,337,107,888,432,129,458,467,427,031,072,047,428,631,610,
058,617,261,103,291,693,461,104,100,506,509,394,145,423,988,191,801,935,751,
932,008,911,040,178,262,610,641,029,047,031,832,196,288,428,164,137,118,612,
631,972,306,890,813,519,800,480,939,233,348,106,453,972,219,859,908,813,654,
871,953,889,041,275,309,417,510,662,884,336,991,428,344,561,960,804,625,139,
775,115,433,149,118,619,799,977,631,162,645,009,997,743,352,102,098,020,256,
008,759,059,463,937,765,503,961,809,777,126,510,431,260,547,150,416,159,498,
551,453,514,143,387,614,470,721,203,780,799,186,953,231,773,454,540,720,669,
183,693,651,800,397,692,268,857,666,061,420,670,044,581,773,321,197,563,815,
364,612,249,899,674,792,756,816,660,706,063,674,743,334,582,687,926,239,337,
953,278,767,325,707,535,207,451,671,359,095,273,737,647,936,915,029,235,446,
100,050,795,984,349,515,099,920,566,563,215,394,129,630,424,004,483,930,490,
609,048,660,351,428,846,196,972,851,442,292,050,739,431,995,272,662,207,005,
046,183,942,591,319,767,016,684,349,720,471,264,857,332,254,970,151,249,975,
885,053,815,956,510,241,866,251,835,038,042,200,974,860,591,942,675,799,619,
567,407,293,187,970,116,112,788,075,255,294,089,030,318,739,220,839,777,903,
251,228,149,975,978,975,236,337,585,205,377,708,608,195,323,486,578,449,104,
247,055,008,599,357,026,721,026,271,176,227,432,357,359,098,839,201,795,674,
770,462,776,521,978,058,922,340,297,995,125,209,306,938,287,944,116,612,259,
001,673,956,446,063,356,914,285,303,806,232,842,236,022,465,842,217,010,646,
446,508,092,254,697,397,936,810,912,847,750,863,214,514,249,809,363,582,716,
505,322,807,047,357,652,529,211,186,195,747,329,518,674,512,778,675,231,962,
835,826,479,348,454,574,889,666,461,596,715,064,042,574,350,317,283,640,185,
909,831,627,146,547,459,365,347,898,890,764,846,337,694,470,363,163,077,245,
892,020,801,299,347,286,647,409,551,520,872,040,645,960,487,310,747,562,950,
203,729,961,642,443,199,318,265,289,637,446,908,953,615,550,877,874,605,193,
453,497,986,810,953,812,247,224,208,634,870,175,436,139,805,485,638,091,005,
560,493,113,558,851,052,481,629,312,414,701,994,054,788,637,933,817,726,920,
402,651,241,715,060,862,626,619,818,820,141,803,271,301,991,711,386,316,211,
942,941,176,629,482,407,962,268,049,386,748,172,606,041,625,658,577,328,401,
958,916,788,525,962,596,614,093,446,918,636,374,176,296,164,277,719,230,789,
541,649,120,222,616,920,534,978,782,176,425,757,491,082,430,700,041,184,598,
390,613,204,640,133,506,281,546,463,734,132,354,029,926,511,839,195,258,404,
159,135,875,836,487,630,521,671,010,822,019,188,057,779,627,539,636,610,767,
164,829,257,395,250,879,097,909,435,372,386,936,760,511,181,935,652,315,895,
608,087,998,396,564,031,117,384,072,857,695,648,050,035,749,140,290,196,673,
040,201,376,732,838,557,512,214,218,406,127,320,391,732,260,729,812,270,732,
944,746,242,779,885,555,820,789,694,966,449,981,148,406,289,763,227,545,593,
051,869,282,971,929,307,186,603,995,157,384,629,202,619,391,059,894,602,880,
884,657,555,866,321,056,813,616,115,374,171,881,736,728,282,043,176,099,745,
402,786,591,299,895,802,928,025,949,865,651,203,816,720,833,799,403,099,191,
525,716,801,492,492,967,346,104,733,803,499,618,741,987,426,144,992,737,172,
390,355,700,349,787,411,599,230,270,215,518,345,145,729,502,133,919,704,078,
450,638,075,366,182,326,271,022,496,906,029,213,117,210,258,872,948,601,989,
331,292,955,925,629,495,245,767,540,372,158,982,056,297,663,530,551,428,637,
515,761,361,391,917,446,057,354,888,675,178,760,544,453,492,528,326,332,303,
057,078,610,922,928,456,048,674,185,368,653,321,465,997,289,688,087,925,467,
986,994,273,926,462,998,144,895,675,990,293,443,126,132,567,503,407,917,876,
502,867,062,345,306,003,986,915,137,480,922,757,756,461,612,250,173,958,588,
680,942,677,013,814,470,275,499,996,205,704,174,596,393,966,624,668,830,287,
967,998,463,118,041,172,455,339,990,462,413,480,676,307,057,576,229,263,404,
657,915,322,038,462,690,962,887,890,095,215,757,828,031,028,526,392,973,197,
560,662,175,430,643,860,337,396,491,299,643,430,425,246,656,811,905,396,493,
240,437,341,852,672,346,285,223,608,430,280,222,028,046,110,787,153,945,522,
479,667,932,644,913,086,943,864,341,254,592,635,119,530,820,115,182,277,599,
672,291,938,204,833,964,236,369,548,013,462,056,945,712,564,662,015,711,216,
295,307,116,709,175,751,791,862,561,843,968,332,058,050,430,488,348,305,212,
560,368,816,550,788,320,277,096,993,645,880,599,191,157,948,979,087,162,060,
087,752,781,888,640,573,115,375,571,991,731,498,450,903,005,126,450,436,894,
486,692,749,669,179,600,341,594,674,339,339,768,658,102,309,101,979,600,019,
171,098,185,915,712,044,763,297,384,656,649,051,318,406,878,176,445,954,155,
513,681,436,343,928,134,038,069,509,151,442,683,203,905,373,023,024,595,525,
541,116,322,277,773,381,643,678,931,331,990,644,131,931,719,861,710,959,288,
025,135,203,893,368,992,972,486,213,992,194,963,253,625,383,068,403,701,630,
501,225,018,804,138,464,381,848,150,966,356,582,383,808,869,181,533,640,715,
825,609,318,137,759,275,259,341,324,646,705,668,324,614,012,790,202,031,520,
760,520,134,074,724,106,706,177,686,521,097,360,002,424,773,607,249,963,030,
062,267,595,680,398,798,982,974,735,597,535,768,120,812,545,180,904,579,730,
475,134,943,146,996,524,279,223,548,477,808,915,371,961,940,279,092,147,461,
202,611,116,115,609,953,910,590,676,856,730,385,026,457,106,802,285,509,194,
762,347,068,358,991,022,161,606,801,814,567,530,114,617,109,542,982,858,087,
049,944,393,061,457,583,103,135,215,983,850,861,081,072,124,877,228,117,241,
830,600,580,675,326,487,642,904,421,975,344,550,117,150,577,288,481,742,462,
762,955,193,093,502,706,431,767,914,742,155,299,526,090,980,581,364,624,875,
051,511,756,758,061,516,727,274,301,600,863,892,465,894,639,204,932,709,385,
441,700,913,427,070,389,793,128,330,807,672,502,060,753,624,410,566,844,551,
369,839,479,800,256,312,845,152,465,273,060,339,505,132,813,694,610,398,695,
441,920,370,860,773,084,423,441,907,203,767,075,695,485,563,574,497,554,797,
168,036,845,064,878,901,688,451,404,304,593,188,475,655,046,735,626,900,266,
719,807,139,568,734,311,906,324,335,777,309,386,047,782,724,490,290,834,506,
643,181,759,515,198,054,766,980,042,096,653,164,035,988,658,390,566,363,677,
763,142,662,044,206,968,705,553,312,138,678,537,129,008,658,030,253,900,672,
487,440,195,925,442,223,550,608,354,429,187,819,931,371,046,176,053,943,303,
805,669,851,480,663,143,710,635,766,541,144,819,831,562,564,957,527,363,530,
400,188,784,580,095,101,447,183,839,363,609,675,441,372,238,086,596,738,450,
166,256,427,410,587,127,365,553,781,709,790,897,614,324,519,396,923,547,336,
703,728,492,055,678,467,192,364,877,555,116,628,666,007,876,030,174,339,039,
041,321,623,920,515,538,254,173,059,951,650,811,161,737,266,603,383,628,325,
400,249,418,230,563,798,346,634,377,739,514,552,581,461,050,433,107,024,548,
881,008,811,902,729,890,011,685,402,353,435,195,043,335,911,914,638,854,732,
285,235,182,356,587,758,482,323,180,576,148,446,671,184,514,171,938,781,028,
548,088,722,750,996,975,939,225,503,305,516,998,944,554,341,881,355,423,993,
802,586,501,806,143,188,061,112,405,567,759,136,400,614,047,026,730,742,893,
997,237,986,196,723,012,643,430,547,145,489,421,748,144,765,253,769,542,012,
257,657,947,885,018,468,534,165,001,878,893,087,033,908,503,682,954,216,104,
473,481,815,594,153,934,742,753,081,158,167,406,639,844,098,045,938,123,257,
694,155,281,192,876,849,755,133,264,678,160,586,532,591,722,002,588,811,759,
787,596,500,977,217,724,754,822,710,307,725,614,663,619,372,485,851,599,383,
731,049,590,564,711,125,057,981,487,114,595,585,136,235,824,270,639,948,826,
436,087,043,123,349,285,602,314,523,693,011,660,789,995,977,970,154,784,435,
395,527,623,399,946,479,657,846,236,242,629,176,267,067,643,745,131,259,710,
368,603,325,199,460,420,138,465,624,295,233,366,926,479,736,712,814,917,781,
164,540,437,662,915,827,062,777,520,722,462,170,205,396,025,760,246,246,108,
165,015,062,813,298,135,313,265,311,702,293,397,285,716,501,876,056,679,963,
163,397,860,279,447,528,204,570,458,210,996,659,890,721,636,899,877,196,044,
854,493,114,825,530,831,936,122,842,419,571,829,015,448,699,903,665,741,666,
852,354,256,079,583,926,846,766,854,347,629,423,831,103,627,587,053,071,643,
054,590,564,631,201,261,627,315,932,677,829,192,055,665,901,749,827,124,437,
779,371,996,969,026,828,054,589,357,429,656,023,729,137,885,639,662,972,207,
906,603,009,252,467,081,929,418,282,100,165,186,231,520,192,174,392,274,057,
300,465,168,413,092,901,592,635,471,508,417,844,179,937,378,578,064,141,082,
693,640,407,626,395,088,173,147,105,421,967,412,251,701,819,998,722,821,166,
581,748,835,773,466,131,166,113,751,805,166,296,668,706,859,990,045,429,724,
824,165,260,014,604,190,601,943,073,976,110,223,542,563,857,204,478,914,758,
405,547,070,016,344,664,184,269,434,661,734,769,136,590,187,174,361,571,645,
913,771,619,622,963,121,011,694,090,044,610,772,044,388,235,279,868,401,051,
104,200,720,330,404,467,583,379,917,176,245,040,378,647,836,681,746,439,097,
009,535,765,165,635,300,927,420,648,151,797,904,149,628,446,756,174,939,970,
119,258,375,686,774,022,999,373,081,642,795,876,489,173,390,659,969,213,418,
554,733,319,397,595,859,967,272,941,785,085,984,492,098,007,140,819,783,207,
421,152,065,993,685,304,501,566,059,424,033,299,294,445,149,956,812,438,372,
669,538,234,297,385,529,182,802,757,691,287,384,346,558,296,199,747,838,804,
069,419,398,896,415,920,381,821,030,433,943,636,907,758,491,668,533,328,168,
905,602,660,816,103,922,507,251,388,745,742,664,386,443,624,187,401,793,535,
816,976,389,201,502,404,367,104,552,568,731,367,645,635,460,415,301,360,320,
061,858,399,490,742,371,560,058,835,728,134,828,816,439,190,032,363,731,537,
734,049,114,356,661,767,648,601,538,910,537,619,483,126,674,214,646,314,450,
303,652,659,636,390,166,363,633,426,818,954,972,100,809,105,188,566,390,956,
800,624,506,900,585,401,657,164,778,410,225,737,555,646,392,052,755,804,314,
642,157,403,844,875,420,042,694,566,582,744,614,644,221,210,313,728,652,083,
347,881,270,440,132,660,549,278,251,781,082,505,904,397,315,044,625,149,017,
022,498,742,102,150,376,320,527,142,052,448,665,748,962,514,166,330,960,157,
766,306,020,466,377,298,656,688,350,371,638,343,520,261,017,463,307,201,103,
674,585,461,851,908,256,584,613,722,092,953,558,129,862,298,684,440,338,495,
702,181,535,369,329,505,866,257,776,831,131,461,498,985,652,209,914,035,705,
630,768,331,806,123,703,370,854,931,664,056,664,240,714,798,531,498,404,968,
302,741,108,243,265,199,028,892,005,109,647,522,625,369,146,494,770,598,198,
270,139,550,437,976,751,978,848,608,516,447,651,978,835,815,880,586,722,463,
753,568,487,348,679,160,534,779,171,323,068,886,421,196,239,613,912,140,214,
276,025,726,232,269,159,180,334,041,965,095,384,411,498,446,966,088,097,933,
419,806,208,126,416,336,286,466,365,759,358,831,461,344,393,896,996,910,879,
069,754,530,084,895,876,142,333,283,048,726,295,463,744,482,798,617,184,742,
922,887,763,580,812,743,533,690,284,341,281,240,962,538,139,060,400,047,832,
355,589,575,763,964,415,666,802,123,640,194,613,553,139,869,352,055,431,722,
219,450,877,794,935,356,900,380,111,570,977,434,478,141,025,796,751,069,147,
681,815,810,084,708,642,886,763,329,400,472,252,721,598,448,158,458,801,547,
499,685,189,163,092,471,784,996,042,361,243,352,497,100,116,115,210,226,682,
391,527,724,252,266,860,810,911,465,112,911,440,846,773,053,414,238,744,996,
860,138,433,374,581,626,250,911,265,376,228,092,952,147,231,083,423,118,045,
081,763,609,112,801,575,044,497,922,653,055,644,745,542,953,305,599,069,055,
464,889,007,342,548,222,459,898,544,280,740,903,647,029,101,652,997,238,298,
565,377,318,971,347,259,624,245,305,524,228,568,634,057,267,665,920,386,954,
929,796,657,702,825,824,676,516,672,563,419,719,371,870,575,485,673,464,959,
829,319,602,450,357,999,043,771,533,971,555,771,091,775,786,467,358,422,083,
816,459,737,961,079,252,342,789,502,709,186,931,025,877,843,435,631,546,479,
743,655,437,040,220,975,419,692,552,726,635,399,960,573,501,296,904,349,071,
008,772,322,703,923,286,012,450,984,082,983,925,380,584,507,729,658,436,623,
442,610,655,343,309,201,595,801,133,442,973,970,076,728,564,526,772,396,786,
651,891,546,284,023,595,837,318,351,169,784,483,672,132,676,608,821,108,593,
322,611,447,531,833,506,014,262,507,518,951,601,707,028,950,330,644,944,239,
768,258,058,091,147,156,120,532,463,150,401,549,634,006,137,468,856,135,233,
290,967,870,052,393,302,706,371,804,438,540,379,238,984,718,097,724,498,979,
854,177,780,372,616,119,350,077,773,570,467,198,481,313,994,964,580,504,278,
860,820,645,043,628,534,768,633,885,622,090,705,412,000,294,664,181,175,746,
297,713,916,698,921,716,093,170,454,292,365,017,835,322,346,765,651,306,682,
813,318,103,535,214,820,484,647,967,282,988,535,574,685,847,224,847,283,888,
043,105,056,035,132,970,044,002,264,708,855,488,410,406,259,417,213,815,711,
056,286,025,674,743,787,587,735,628,302,445,989,152,796,670,372,391,081,311,
236,880,469,083,483,416,731,018,149,643,161,056,187,148,312,174,706,205,243,
425,614,287,208,987,145,783,907,584,522,280,410,896,619,748,078,799,094,964,
179,760,009,009,399,111,803,606,257,789,395,059,299,326,375,028,782,821,183,
737,913,885,548,594,055,077,100,117,320,039,395,584,078,661,721,252,306,012,
072,641,458,550,818,637,923,156,746,356,238,505,205,764,089,533,970,341,425,
669,075,871,602,383,007,102,865,615,304,727,599,179,642,841,587,179,427,532,
234,388,502,632,771,106,438,383,088,359,901,529,517,506,914,874,886,802,824,
404,124,234,562,420,276,778,856,782,209,286,180,331,902,397,927,434,780,321,
731,436,406,104,046,639,913,041,619,253,769,478,061,808,702,807,020,806,133,
068,711,939,213,050,377,235,170,617,956,478,867,590,669,992,292,444,935,163,
901,043,933,765,000,774,993,519,355,717,615,728,537,568,200,256,326,845,813,
673,990,159,276,266,827,727,191,410,663,913,810,282,017,239,938,041,576,054,
248,285,785,045,783,970,569,818,396,330,966,731,347,904,949,720,693,109,174,
498,038,980,532,630,327,315,255,107,761,650,997,288,294,277,809,846,223,127,
305,920,594,176,428,733,154,369,581,892,891,428,711,643,917,436,118,602,989,
056,594,810,130,009,286,415,208,648,982,810,154,523,183,338,313,454,474,418,
607,147,207,871,688,652,925,468,379,127,949,812,676,661,461,681,999,620,554,
144,209,435,204,408,655,399,142,125,055,936,550,531,091,384,147,810,265,595,
260,128,154,257,497,704,574,309,392,932,737,202,590,543,626,851,050,199,148,
433,277,787,205,625,967,905,645,651,126,581,529,834,379,542,682,457,072,962,
462,856,156,353,803,755,604,543,585,594,674,620,164,737,175,734,968,764,305,
303,701,617,481,589,468,165,092,118,540,835,885,167,344,765,293,626,736,886,
417,377,115,179,740,515,744,650,612,482,446,350,538,040,015,593,681,345,374,
072,400,472,920,032,025,172,938,166,858,221,293,761,903,703,314,344,806,746,
774,340,485,246,346,740,934,538,366,940,168,828,116,554,414,848,597,870,187,
874,903,025,048,755,152,530,667,631,460,048,403,101,369,092,246,318,425,256,
843,478,601,388,659,828,125,845,770,998,929,938,133,026,322,347,553,268,172,
027,127,216,331,070,168,045,638,633,162,892,686,938,780,773,293,821,644,889,
643,551,338,393,157,246,480,827,227,965,957,496,836,619,350,315,129,296,754,
498,232,077,170,112,143,126,760,864,949,564,601,190,117,720,280,139,652,060,
077,188,728,683,984,731,503,793,609,699,466,141,133,364,906,544,766,081,793,
386,233,848,106,869,663,734,812,312,580,265,844,666,488,810,924,316,654,491,
966,172,132,642,165,828,072,638,178,634,323,054,716,995,997,677,271,381,650,
692,398,721,273,336,307,217,471,856,984,035,921,545,231,397,811,185,673,596,
084,656,066,613,354,267,584,657,446,776,320,898,186,066,667,472,285,228,791,
304,094,412,644,347,625,305,415,998,360,115,165,950,933,554,106,869,702,442,
259,619,333,914,413,754,221,126,778,046,066,842,203,530,642,805,328,423,620,
088,307,316,011,523,152,626,387,709,811,535,653,398,519,234,575,405,685,640,
951,470,586,222,342,638,911,588,460,826,108,851,087,298,848,346,890,307,427,
372,370,448,206,211,680,607,464,278,726,264,533,760,704,065,714,251,517,921,
480,924,985,127,921,325,213,155,425,625,047,685,029,167,605,199,923,316,774,
034,115,199,454,481,899,616,917,908,003,805,729,708,139,634,392,538,134,367,
861,821,609,061,387,538,197,500,904,529,063,148,114,351,055,923,608,239,071,
718,461,887,777,176,593,497,366,092,179,178,445,711,328,769,281,728,040,296,
816,757,461,401,471,731,115,654,111,360,460,993,511,796,512,419,421,481,834,
475,233,283,204,032,499,480,682,768,019,125,261,401,244,266,788,359,467,731,
039,208,375,821,611,107,893,883,832,892,963,544,542,401,030,522,151,927,324,
797,994,006,787,148,370,682,232,484,173,920,994,175,867,120,316,992,027,632,
914,219,179,221,198,584,793,325,056,923,141,974,767,254,975,083,139,728,843,
145,687,110,342,383,392,522,622,665,086,623,466,220,888,960,432,579,659,053,
771,798,727,299,461,721,722,831,633,218,669,905,207,768,838,256,906,484,185,
170,716,020,075,112,236,479,205,057,202,117,480,112,868,980,014,168,341,969,
141,655,448,365,290,259,895,642,750,660,449,170,477,928,836,888,910,086,740,
883,779,008,561,142,881,212,481,868,896,513,144,539,028,792,282,703,840,966,
677,669,742,460,584,452,493,815,427,949,254,445,986,512,971,810,642,410,711,
500,925,117,234,149,647,523,604,586,827,133,475,447,102,521,562,634,475,125,
564,990,532,542,886,121,435,195,741,538,271,295,218,326,281,516,452,826,698,
601,169,982,440,534,676,018,427,834,034,248,558,035,304,240,668,982,323,678,
736,635,999,281,149,566,800,814,897,597,612,481,352,591,686,623,525,631,195,
418,774,270,913,510,041,094,656,249,284,469,467,127,517,804,680,672,492,190,
183,188,280,716,974,155,662,810,180,359,947,120,755,681,009,323,969,638,828,
009,185,109,210,558,677,514,569,924,595,629,983,048,216,256,813,491,146,878,
593,762,723,045,365,866,243,692,129,295,918,167,258,559,149,777,878,043,690,
372,463,606,499,442,187,547,758,748,895,670,287,952,778,174,728,455,689,917,
426,241,081,599,824,901,169,123,831,081,466,121,738,573,822,841,076,338,263,
471,996,638,706,915,021,810,875,041,372,269,755,000,395,632,448,004,323,342,
056,537,396,096,275,195,090,324,451,543,892,810,058,154,960,491,012,990,680,
573,929,492,885,793,654,046,228,628,602,365,577,670,971,224,328,321,954,602,
986,098,550,765,973,733,531,026,847,507,727,475,143,041,315,328,046,633,375,
275,197,230,138,055,510,290,353,628,643,051,971,794,045,299,201,653,968,378,
634,911,942,515,263,264,613,079,373,907,887,922,520,986,584,953,165,548,505,
670,619,266,579,003,892,944,317,401,841,983,515,984,706,927,762,089,721,349,
370,759,607,552,133,102,861,304,807,532,921,285,910,556,717,833,769,762,247,
730,438,035,411,430,475,306,269,210,214,346,527,494,760,490,668,103,005,025,
137,421,890,182,800,069,630,248,525,131,202,803,478,287,730,598,016,120,514,
976,819,587,127,431,322,461,623,179,249,862,200,272,698,614,905,809,915,995,
802,114,434,337,830,635,220,211,345,875,963,782,093,759,543,875,625,051,227,
310,515,290,507,335,085,819,622,953,374,388,266,731,612,090,004,485,670,116,
407,662,224,749,962,401,417,945,266,200,490,728,153,723,845,079,684,840,270,
647,549,131,791,782,372,913,099,256,557,371,200,967,793,594,583,340,276,426,
490,306,921,942,605,798,162,266,426,882,508,728,920,721,192,347,967,482,812,
927,381,959,335,894,064,488,181,673,438,911,083,778,711,844,847,927,032,373,
837,094,724,762,073,011,899,984,779,470,314,875,083,227,058,697,000,756,536,
210,090,662,939,872,348,630,775,091,740,538,249,089,724,202,268,901,289,002,
982,499,349,901,422,495,873,125,129,884,838,123,711,438,435,251,530,222,977,
861,820,937,210,783,798,812,885,261,136,940,672,225,604,438,370,968,044,839,
308,581,839,759,678,222,885,462,672,306,609,525,985,188,560,210,261,031,169,
527,780,868,093,743,018,932,785,676,748,670,676,845,259,470,661,008,218,530,
641,436,990,137,625,257,606,160,959,740,135,872,123,932,415,338,772,693,197,
799,875,254,327,605,865,605,649,878,346,306,446,990,002,021,022,610,976,410,
031,061,371,538,686,761,507,200,388,414,976,097,319,167,216,169,567,523,119,
983,925,139,036,182,540,215,175,466,747,298,776,087,205,772,052,359,371,390,
030,776,509,135,034,698,852,576,744,220,735,261,129,270,317,593,589,021,143,
774,695,627,055,947,329,591,064,817,202,853,056,833,193,529,094,628,103,026,
821,284,933,809,280,859,913,835,030,774,403,927,852,467,682,977,015,724,507,
646,339,538,278,933,775,828,942,764,048,243,801,883,890,182,364,851,654,690,
119,109,287,766,620,842,137,622,837,913,799,565,396,179,790,072,736,127,164,
282,101,955,432,814,791,910,492,541,993,295,669,352,588,815,622,180,559,498,
132,131,995,946,010,172,850,363,466,867,386,351,659,425,408,109,502,243,955,
170,933,244,637,407,452,703,914,952,350,885,987,169,481,803,662,130,565,457,
444,667,044,640,568,035,237,232,285,620,215,489,697,676,157,849,300,294,040,
857,207,140,429,163,838,451,932,665,238,779,816,807,554,576,758,290,710,225,
169,376,920,770,279,027,939,757,150,970,566,309,356,985,651,035,381,457,322,
247,145,222,447,139,411,636,210,339,269,056,936,525,001,524,097,153,826,809,
758,475,521,171,544,825,911,858,693,830,863,028,472,773,159,282,703,731,537,
027,708,220,234,800,009,883,004,837,302,781,144,427,219,458,106,892,799,405,
730,897,152,589,629,232,004,452,209,382,249,204,392,028,126,975,427,463,107,
662,657,256,396,073,633,784,461,738,629,592,793,664,065,121,440,310,320,501,
737,942,866,787,948,089,624,750,482,488,712,369,938,653,009,161,706,639,944,
176,551,786,870,084,072,501,153,328,790,000,254,417,809,158,278,025,921,746,
592,610,695,011,825,156,266,275,550,262,908,833,495,663,747,383,660,546,039,
251,090,506,485,329,159,137,346,709,165,236,142,991,172,377,710,345,715,568,
546,133,874,067,709,312,411,461,834,279,543,282,783,622,792,141,619,021,344,
020,990,065,858,382,158,095,109,333,152,478,662,873,121,475,222,130,829,179,
618,183,434,124,779,818,568,812,309,189,476,825,334,225,685,999,476,359,605,
981,753,200,466,680,925,889,592,984,031,923,514,534,819,136,551,421,535,965,
844,587,280,149,047,958,708,557,503,650,782,598,009,829,786,942,010,215,580,
496,805,334,509,447,933,412,618,438,623,768,484,858,973,674,668,267,072,812,
144,063,857,473,525,271,098,500,050,335,793,489,260,458,744,817,290,455,649,
443,994,620,022,025,203,004,034,791,845,217,068,826,552,150,894,921,659,325,
011,284,245,450,530,999,516,920,314,763,811,649,160,629,770,920,028,123,947,
706,242,711,169,461,053,020,411,118,513,634,750,852,014,977,322,345,789,876,
270,765,501,999,277,237,087,504,435,632,970,677,271,155,184,664,701,542,362,
765,966,784,843,136,911,587,441,907,892,590,340,570,750,010,005,729,685,879,
351,806,706,627,612,618,510,071,811,360,721,819,431,816,952,988,405,173,261,
504,233,480,999,451,369,615,888,083,119,973,710,401,330,766,113,069,336,132,
377,863,502,362,672,544,175,287,065,779,414,924,203,374,479,082,147,462,610,
496,543,432,608,371,497,673,145,322,910,786,571,868,078,045,290,738,330,963,
976,510,802,997,913,384,383,780,915,029,184,159,941,243,747,830,094,035,685,
546,831,021,294,658,700,229,042,467,111,261,064,828,996,693,156,189,898,001,
323,110,102,820,839,533,245,064,268,493,365,535,180,286,560,134,194,490,058,
989,328,010,901,111,760,429,143,347,841,990,802,372,825,236,405,256,625,990,
346,884,094,130,833,067,553,513,037,145,998,173,206,425,807,707,126,078,316,
932,788,556,507,829,018,330,481,310,126,195,520,214,780,319,061,398,277,102,
383,824,950,428,505,466,139,383,114,173,337,023,497,045,717,278,969,173,910,
407,855,351,305,738,419,699,863,344,383,485,349,869,200,929,630,380,538,806,
251,763,559,606,235,450,346,253,964,645,080,995,495,734,757,221,267,878,879,
350,249,747,399,450,565,158,353,040,581,800,287,273,928,181,701,590,311,610,
855,676,754,192,335,619,414,378,230,927,903,093,708,473,778,985,921,380,314,
319,722,763,094,137,584,302,371,046,940,284,068,843,284,393,999,137,840,275,
945,149,745,144,171,389,619,865,313,675,781,265,131,180,107,695,448,233,553,
740,059,363,252,164,382,317,446,839,684,245,444,335,860,962,811,173,847,036,
000,290,419,949,114,615,449,353,141,702,776,144,094,367,717,983,852,495,142,
133,408,098,875,588,929,889,933,683,236,126,617,276,566,902,495,605,789,512,
902,113,966,301,388,198,873,875,845,777,442,911,427,470,414,337,802,185,927,
221,194,807,490,828,292,894,771,453,686,699,099,808,075,892,620,482,371,391,
207,097,461,115,211,684,038,692,820,120,705,824,759,593,692,543,893,548,000,
269,643,948,074,764,679,721,387,609,173,951,963,774,958,021,552,108,895,278,
953,946,862,434,874,778,597,753,095,245,420,341,574,372,273,309,572,275,144,
715,841,727,004,681,559,887,351,063,240,273,233,139,426,397,704,833,817,955,
011,608,221,047,791,215,751,267,770,503,321,970,605,083,575,735,517,153,227,
665,826,852,282,959,461,380,982,245,806,222,591,343,565,908,124,752,483,616,
219,788,702,863,794,380,080,169,513,900,931,119,284,271,475,808,246,574,861,
141,845,019,087,982,894,037,926,951,629,492,924,982,788,549,928,833,471,962,
776,568,005,897,657,819,009,655,045,555,532,196,382,957,535,753,384,833,788,
860,455,947,569,425,863,126,060,450,832,519,319,832,031,074,392,357,184,409,
655,718,158,335,032,426,995,459,664,202,256,595,046,210,028,127,013,268,756,
713,457,745,202,051,190,346,585,844,232,261,505,519,036,418,800,695,048,008,
173,898,102,545,384,848,159,058,134,088,740,711,821,986,491,486,727,204,198,
089,633,081,366,759,473,248,060,930,693,166,940,062,256,152,592,966,157,942,
285,883,610,587,106,024,382,654,532,907,691,222,468,342,698,305,941,996,900,
819,889,602,407,667,599,296,112,633,993,301,411,533,747,049,083,237,470,067,
167,229,541,814,750,708,424,597,151,199,870,741,563,744,183,048,335,193,159,
397,127,243,733,674,571,280,756,585,003,480,708,514,552,232,991,996,165,433,
874,571,643,948,022,326,010,645,206,825,841,380,694,511,521,387,625,612,525,
892,552,918,357,425,281,832,655,499,627,268,322,973,966,341,572,798,468,656,
861,262,506,074,585,575,502,400,126,328,853,984,144,949,540,135,743,749,031,
812,127,534,591,333,997,699,644,125,220,474,633,622,916,192,894,491,153,776,
237,394,538,603,948,882,947,067,950,998,403,954,820,998,240,725,113,896,436,
078,296,048,576,027,511,730,346,549,528,643,869,824,766,302,743,264,206,492,
565,286,205,780,983,714,886,038,478,068,153,043,185,058,806,441,066,126,103,
764,783,128,160,011,267,346,227,125,333,386,865,454,270,817,202,625,438,042,
347,361,004,249,496,379,919,046,791,945,419,591,759,843,503,264,920,789,776,
108,292,125,798,792,165,828,091,533,622,079,128,793,702,782,393,143,336,483,
934,359,240,307,659,809,607,301,585,574,978,777,589,570,277,854,820,973,122,
058,600,044,135,938,451,862,497,139,687,373,369,850,894,854,737,388,105,989,
959,825,659,713,655,225,144,666,630,783,632,644,230,315,650,683,826,565,424,
199,194,492,539,594,330,318,810,335,944,699,585,149,804,903,148,106,786,699,
539,744,971,963,609,615,681,162,103,030,234,431,460,872,915,698,953,153,309,
275,018,382,329,901,833,844,990,571,147,313,654,312,941,222,944,285,594,251,
989,018,942,882,829,157,822,401,462,122,762,191,777,816,345,451,646,774,945,
036,619,599,732,789,870,896,103,117,018,577,897,286,835,517,310,419,300,493,
417,486,752,557,956,914,550,749,077,031,372,575,339,653,990,299,337,121,775,
654,258,326,121,823,679,978,975,261,725,597,816,779,175,215,131,085,972,142,
496,609,823,794,255,286,395,388,643,538,662,827,168,900,433,281,416,848,478,
657,835,809,928,290,825,344,951,327,739,126,472,178,201,826,635,386,726,442,
485,456,797,274,281,659,992,396,658,744,963,032,547,590,563,338,965,262,698,
875,810,853,291,956,009,397,876,908,056,598,192,084,859,990,950,058,312,076,
673,065,331,320,047,424,716,329,865,609,580,007,138,429,472,355,334,463,048,
404,893,386,138,271,507,724,198,758,830,349,068,997,069,269,793,907,501,201,
923,980,647,349,103,060,985,172,255,388,839,985,498,754,465,599,410,508,946,
605,184,108,933,575,621,500,080,005,973,741,289,162,354,092,629,673,834,170,
783,573,666,162,901,071,002,992,700,673,497,795,175,197,167,833,865,672,366,
118,253,770,832,301,779,524,234,255,244,307,006,612,742,199,072,551,834,385,
215,949,195,350,778,340,521,147,841,949,683,565,541,645,076,184,703,314,043,
842,568,651,929,467,429,854,055,379,296,633,892,662,296,954,846,982,090,243,
429,541,172,899,562,127,166,281,862,077,727,649,390,647,313,377,981,442,604,
263,588,124,685,217,664,728,832,007,188,289,579,983,384,857,076,403,290,503,
975,470,458,779,348,468,230,898,657,220,899,736,198,004,820,285,918,962,754,
902,570,401,590,307,959,255,576,988,454,589,454,463,755,380,297,131,192,543,
153,713,074,567,915,752,900,562,287,975,309,561,073,739,287,844,797,606,656,
758,030,586,786,462,670,295,733,063,530,365,902,281,484,282,888,234,738,304,
959,990,449,935,350,891,693,763,733,172,360,809,117,625,892,691,333,716,718,
395,670,330,399,514,237,752,023,453,769,581,648,619,986,738,859,213,145,108,
440,419,790,783,278,923,514,647,237,936,832,982,934,413,052,994,656,847,396,
828,976,482,376,971,939,291,558,853,121,842,948,397,630,632,425,964,515,277,
780,458,859,836,762,076,980,479,347,759,116,816,800,521,451,188,691,255,074,
167,381,680,509,050,116,325,483,880,082,517,523,345,550,597,280,576,899,871,
019,640,783,682,366,800,186,098,905,099,096,940,551,114,650,618,999,561,692,
304,157,184,646,121,483,255,558,104,283,549,744,108,586,341,179,789,741,641,
873,185,714,492,359,187,165,113,670,587,444,131,450,912,049,365,994,599,325,
995,496,669,129,612,356,069,354,985,808,484,250,599,040,785,976,630,786,464,
342,826,540,855,807,154,191,368,103,013,587,566,368,126,306,707,531,642,827,
744,551,672,142,770,141,517,796,923,983,321,857,335,360,749,705,086,122,493,
229,882,871,746,625,813,115,948,736,936,223,917,625,811,363,964,072,169,645,
674,580,759,980,799,892,069,037,130,954,642,400,763,367,628,842,786,419,742,
914,994,284,475,073,894,589,498,501,485,467,038,325,609,052,212,264,986,453,
364,127,358,212,455,647,337,481,419,734,586,387,883,715,448,923,434,505,243,
939,544,657,318,053,587,031,617,520,433,062,170,070,498,703,398,478,416,666,
419,491,496,926,152,153,581,216,253,966,015,178,946,943,502,776,784,379,893,
746,388,973,392,340,219,821,307,681,190,849,099,461,934,023,115,298,071,874,
968,360,409,951,054,262,557,233,008,178,873,309,372,723,194,808,751,305,422,
730,601,008,188,238,384,114,792,786,194,875,326,201,763,018,319,388,091,944,
158,235,554,630,027,723,119,113,606,941,040,375,126,071,887,172,344,580,612,
312,563,505,544,418,829,614,673,097,245,875,290,598,461,007,611,156,713,871,
084,930,359,490,617,087,529,593,335,835,616,401,170,957,933,108,873,081,359,
092,945,499,185,138,102,085,742,085,563,799,009,946,197,420,331,157,263,114,
824,351,560,226,299,821,610,598,353,606,606,888,644,502,873,340,709,229,267,
235,977,264,464,804,725,437,837,251,605,712,914,436,164,547,222,294,825,552,
702,591,643,529,809,728,813,653,817,678,412,050,907,431,619,286,980,424,607,
574,888,028,671,649,555,627,865,272,663,112,501,430,452,365,366,504,141,143,
702,863,984,147,759,708,992,453,918,944,213,510,382,682,518,996,181,889,064,
681,214,536,631,317,644,258,529,881,175,444,297,000,927,542,908,220,544,956,
336,239,827,351,583,446,136,691,338,269,096,677,563,147,340,219,552,712,916,
309,830,651,757,490,613,301,179,668,939,718,876,440,440,461,541,273,555,262,
187,741,512,482,561,543,907,155,965,180,467,206,817,650,161,100,500,129,028,
493,081,585,339,183,486,797,814,798,749,676,581,457,490,880,159,469,566,673,
297,458,458,613,409,666,361,905,606,622,504,254,396,879,796,852,767,537,392,
896,705,527,977,114,500,569,590,940,661,090,747,055,535,682,155,515,281,547,
085,718,320,682,462,333,500,049,129,751,610,660,835,139,069,211,932,468,856,
322,937,731,983,319,194,005,848,488,826,574,288,895,563,038,244,390,947,333,
203,471,950,315,416,889,349,548,129,523,950,272,198,498,164,091,755,198,579,
661,284,536,158,471,641,993,266,436,314,318,862,752,945,001,874,675,130,266,
410,299,994,692,541,313,804,574,929,752,021,476,115,103,818,617,007,095,589,
856,737,654,112,244,894,805,650,961,778,099,957,343,234,890,744,935,676,670,
251,668,279,475,558,341,763,650,193,804,330,413,929,397,320,211,741,031,266,
148,994,636,112,478,584,131,150,974,604,221,015,122,978,324,879,737,006,650,
610,382,108,076,642,669,828,790,433,619,258,297,189,250,389,695,478,191,810,
589,420,701,371,456,406,203,508,353,595,441,816,853,087,956,817,582,720,577,
521,506,994,455,749,757,199,407,103,204,987,965,834,005,173,189,286,589,611,
306,776,552,210,198,701,126,489,326,092,309,096,210,021,418,220,198,774,919,
185,589,666,630,779,293,361,588,463,564,101,598,605,603,420,057,943,108,158,
369,725,069,354,496,933,932,291,806,887,566,418,038,462,164,793,620,254,395,
128,925,982,394,604,236,663,963,357,769,995,637,542,917,267,650,507,776,869,
717,911,587,496,672,176,184,976,696,097,504,464,920,652,132,178,552,157,007,
528,939,202,210,335,348,617,166,753,873,528,589,203,420,341,357,894,641,631,
271,901,300,698,561,535,890,850,993,376,921,672,831,224,885,033,542,969,859,
824,530,016,047,922,239,062,307,895,328,002,679,218,362,480,352,410,900,884,
516,148,404,501,572,455,753,137,773,338,065,943,636,845,257,330,662,482,247,
772,331,521,348,079,928,537,623,997,264,777,326,685,199,788,839,102,629,755,
079,592,383,986,403,070,033,279,992,038,514,605,772,766,644,309,885,321,595,
279,854,856,805,451,916,833,141,704,626,513,378,914,213,004,218,546,937,817,
986,745,413,883,330,683,617,960,989,358,907,250,580,695,041,123,299,222,580,
818,544,989,274,520,469,512,667,396,218,903,251,962,455,416,634,543,100,304,
058,886,795,926,472,443,920,331,665,756,576,460,184,893,641,109,628,203,250,
867,962,417,300,842,832,249,750,966,552,023,544,137,594,111,579,821,116,113,
062,313,303,555,707,174,796,104,056,164,731,811,429,914,683,468,047,871,514,
911,720,949,367,042,168,126,344,267,446,256,410,001,746,242,142,760,714,403,
939,272,917,660,121,086,485,349,400,328,035,608,290,458,615,100,595,674,177,
831,164,242,638,275,945,887,585,168,452,356,121,146,964,717,824,139,121,103,
179,232,995,480,608,174,750,315,116,054,180,521,683,282,957,732,278,965,750,
390,333,319,292,158,221,595,357,185,478,107,236,887,713,682,458,121,169,139,
090,972,218,694,462,978,403,599,198,737,429,032,356,458,907,254,982,763,957,
131,281,200,930,057,847,936,686,028,650,128,027,231,727,994,266,245,996,848,
903,503,846,849,079,987,672,454,089,664,035,457,030,997,037,110,920,220,396,
016,975,028,564,936,497,225,431,175,360,354,091,400,976,508,245,068,009,245,
735,270,841,005,906,039,722,347,058,989,845,775,974,784,122,071,891,917,489,
495,780,570,287,110,285,240,095,807,539,653,103,884,832,720,857,291,986,531,
643,959,298,088,267,842,904,465,354,928,506,918,879,733,245,644,722,401,402,
044,380,601,124,630,575,231,964,441,711,798,390,639,872,338,461,496,435,352,
909,446,831,433,571,363,731,949,927,929,852,204,073,493,665,992,443,727,759,
264,514,911,809,031,115,359,777,470,694,971,845,831,446,698,809,672,550,675,
036,829,965,924,642,845,499,828,334,579,192,169,025,815,874,411,829,311,738,
009,682,238,258,646,821,380,581,339,226,599,113,451,709,771,324,368,389,551,
149,929,239,723,707,872,060,740,188,206,329,047,815,547,004,409,382,781,838,
983,481,115,293,014,974,369,508,071,511,854,017,031,828,723,943,935,590,336,
837,733,533,161,470,342,260,580,126,365,708,177,771,354,523,354,722,955,362,
233,737,321,646,246,117,980,983,413,761,956,751,224,755,955,424,335,085,811,
393,327,136,119,486,569,897,210,856,347,709,055,737,756,484,355,497,755,894,
506,991,021,570,105,576,407,967,563,004,441,342,321,754,722,911,398,853,090,
363,928,463,783,418,016,504,163,027,908,725,590,633,594,789,299,182,342,058,
219,469,126,303,433,807,447,567,519,932,967,758,389,305,468,079,005,313,682,
444,267,845,397,777,382,895,324,053,123,253,363,359,778,662,368,471,353,973,
688,654,660,232,582,038,055,228,465,511,237,119,321,281,891,326,539,929,888,
618,915,861,109,894,390,304,988,462,115,577,282,729,145,411,683,147,739,490,
856,112,054,178,200,145,443,511,619,788,444,183,914,131,731,028,901,465,400,
344,251,951,022,221,741,485,342,400,196,249,516,600,492,413,861,425,058,343,
384,795,908,103,325,077,690,739,360,399,926,676,004,432,671,336,361,946,344,
256,926,245,747,827,354,652,254,397,069,953,224,077,805,433,578,368,888,118,
965,667,605,007,190,617,300,791,107,376,130,834,143,406,528,705,874,674,664,
549,274,676,334,589,511,142,703,138,269,501,707,355,714,175,727,939,917,680,
124,335,552,701,802,600,650,818,869,507,756,080,868,080,546,806,043,534,575,
538,950,860,233,837,805,614,726,637,600,377,928,347,826,937,799,771,515,095,
405,987,893,409,547,622,132,512,672,669,182,519,149,141,758,182,866,037,074,
630,088,872,923,887,335,389,499,636,103,746,661,588,694,177,395,394,943,537,
432,856,440,749,879,382,457,759,091,979,556,909,508,236,970,437,693,481,748,
165,413,350,813,949,974,335,251,943,425,101,021,668,880,886,260,449,999,794,
301,425,408,549,166,961,518,737,074,678,853,513,286,344,522,420,438,337,322,
804,704,002,448,970,680,038,169,050,174,722,976,503,743,715,095,437,871,343,
273,470,066,825,323,494,100,045,721,419,687,344,107,490,521,271,183,620,805,
563,527,861,733,005,330,747,259,414,330,995,900,730,560,609,661,693,863,793,
339,000,630,166,910,937,421,867,969,932,664,535,286,795,530,704,229,672,683,
959,906,672,713,284,575,500,840,432,487,531,416,235,037,301,451,292,929,878,
557,656,670,151,683,881,499,153,115,643,977,308,314,909,548,091,009,660,862,
661,921,097,449,203,014,325,417,592,736,285,774,435,771,064,109,964,603,801,
096,119,471,780,755,636,061,237,023,433,789,699,516,253,919,831,051,424,042,
020,855,166,230,600,683,284,273,146,130,670,543,536,035,431,038,590,252,106,
944,001,013,747,720,675,048,122,551,163,390,771,356,746,317,642,602,407,764,
736,300,909,202,120,377,194,567,398,964,325,878,497,251,518,591,548,234,374,
587,351,861,261,348,441,440,632,755,371,418,864,514,729,123,782,840,795,317,
622,708,259,965,985,780,474,123,751,045,305,848,288,183,478,696,150,254,851,
451,797,185,481,486,511,043,505,170,066,180,849,497,689,085,120,399,483,599,
621,575,735,988,727,148,397,054,145,478,098,811,785,494,648,889,553,213,387,
192,464,358,933,663,022,974,507,266,967,109,751,509,125,571,736,999,313,298,
188,309,948,270,267,379,286,548,159,525,055,090,167,919,617,319,798,927,107,
863,953,823,196,759,275,520,166,633,811,233,955,327,349,945,848,338,963,606,
691,173,407,976,659,180,217,801,479,178,459,901,018,829,566,364,284,539,031,
009,481,050,942,443,093,949,245,681,924,388,573,837,191,261,145,278,466,237,
859,875,167,675,175,931,799,747,172,983,843,287,428,387,396,165,640,193,962,
556,315,092,080,897,988,476,035,106,571,001,912,072,763,286,806,328,096,354,
130,430,590,910,261,834,182,438,554,241,404,340,862,352,083,443,783,694,841,
430,415,088,562,607,863,375,112,742,826,917,161,176,907,477,279,221,465,518,
170,495,726,264,913,995,928,776,258,720,932,268,775,798,718,401,368,882,080,
203,341,745,608,254,331,402,421,545,070,522,860,455,351,307,435,425,304,701,
231,281,522,610,017,240,602,443,302,637,244,078,270,081,258,893,227,220,877,
323,772,149,611,659,384,432,691,225,730,568,394,865,525,899,623,307,317,948,
834,859,641,099,937,576,538,712,758,814,744,009,428,675,785,500,710,344,694,
209,397,828,967,742,017,765,521,334,948,762,240,845,547,177,183,224,967,035,
875,605,837,894,612,839,205,839,655,433,258,778,485,408,535,968,918,038,210,
772,735,192,706,654,393,969,077,505,873,947,255,626,141,922,559,121,996,082,
121,252,978,707,463,463,954,154,930,002,910,370,958,271,785,483,496,567,453,
552,225,483,673,304,880,613,406,056,712,648,111,615,670,737,980,831,881,605,
159,718,075,790,190,500,477,225,392,819,830,279,797,581,378,908,211,829,473,
989,520,129,607,759,532,281,698,082,137,029,192,863,386,098,146,946,931,774,
061,465,132,122,105,594,401,495,432,151,082,935,664,556,547,013,419,000,395,
837,572,738,849,053,896,027,208,690,877,112,090,785,651,887,308,019,471,939,
512,092,884,670,764,677,947,984,026,845,265,846,370,397,624,725,559,846,652,
132,616,319,674,615,375,851,687,931,310,792,430,210,539,188,870,888,934,432,
115,385,370,469,854,720,463,976,400,362,845,788,322,807,083,454,438,565,968,
280,619,446,604,609,287,327,244,215,211,612,286,505,042,172,677,736,319,472,
397,720,771,368,702,514,433,098,641,721,777,497,672,402,572,674,095,721,756,
204,853,713,521,598,726,549,669,990,999,579,518,004,247,274,892,196,741,998,
148,169,856,060,667,970,337,496,549,799,524,885,038,303,460,887,650,262,445,
239,673,551,625,467,448,442,156,732,913,983,612,638,938,874,709,950,682,117,
927,552,342,480,001,452,329,355,384,480,633,028,725,738,416,399,671,981,175,
492,023,498,421,237,100,257,578,877,414,907,572,610,920,401,014,675,335,891,
017,868,380,646,783,378,517,686,044,583,665,229,784,281,040,248,164,573,850,
749,937,039,262,613,265,791,794,318,997,993,775,349,784,012,983,911,826,059,
881,769,425,781,361,549,615,748,442,160,963,163,637,519,388,287,616,211,188,
500,910,899,569,469,959,171,966,273,498,892,596,647,384,263,593,019,693,139,
264,659,998,625,814,836,041,324,672,449,649,037,789,174,473,950,934,097,589,
182,559,523,521,809,412,945,808,724,610,782,857,754,489,232,513,224,434,407,
222,908,393,258,019,045,113,556,746,791,351,090,970,564,109,114,962,206,772,
977,162,721,540,892,047,660,633,675,271,626,205,359,779,698,569,419,737,025,
848,700,776,949,980,015,433,459,680,671,530,407,291,939,916,001,055,588,140,
538,813,656,355,622,450,569,090,486,601,174,281,111,516,694,487,270,776,265,
866,754,137,066,983,069,020,405,166,139,249,687,256,988,460,617,158,811,862,
331,994,124,873,608,797,288,344,434,736,976,800,207,427,335,443,438,901,368,
277,312,589,550,503,186,570,770,342,190,313,573,432,146,570,246,211,992,530,
672,161,755,229,085,660,742,230,189,197,911,385,762,770,161,918,158,424,018,
207,018,546,428,463,717,829,650,390,295,887,769,106,020,973,336,012,124,514,
472,575,623,846,871,884,705,039,216,307,188,019,431,854,139,996,879,483,851,
758,603,997,545,399,834,633,289,903,757,855,026,786,539,147,779,269,372,291,
760,876,801,118,299,885,169,939,579,623,187,700,920,025,800,966,313,913,625,
833,169,821,154,163,793,591,791,705,063,439,034,316,674,237,135,630,092,033,
079,448,495,466,276,480,749,912,108,607,796,892,379,621,112,366,996,334,692,
875,128,368,408,741,024,076,931,856,650,316,574,993,086,983,190,680,416,491,
135,381,327,006,109,276,907,523,340,081,780,248,382,180,020,644,739,694,960,
834,474,834,822,105,781,540,343,217,923,259,038,343,474,941,089,256,487,538,
085,368,560,523,982,843,982,080,872,070,743,515,372,127,922,543,302,315,721,
425,022,860,955,331,975,334,566,841,088,301,545,382,910,819,551,685,063,927,
933,532,973,922,032,747,178,913,090,402,468,857,109,727,433,188,318,800,325,
631,156,198,063,399,627,267,996,174,440,538,369,312,296,343,027,671,244,113,
214,749,073,605,095,056,620,006,110,487,356,391,143,375,384,870,335,394,460,
176,899,162,124,041,726,577,365,049,262,195,387,337,916,273,173,963,022,161,
807,347,989,441,970,321,173,481,409,935,705,505,815,468,742,122,675,826,974,
041,991,849,285,436,912,948,171,128,971,125,624,869,616,552,048,270,469,448,
833,987,023,194,148,111,754,606,472,288,881,961,027,672,592,584,856,553,858,
687,023,138,954,291,476,669,892,429,909,878,188,441,774,369,526,738,112,276,
849,898,250,403,990,825,375,975,066,972,057,725,918,577,071,584,685,873,352,
490,878,240,778,119,537,546,334,091,661,611,577,134,817,743,288,400,632,970,
542,191,492,162,248,836,719,800,836,452,453,138,088,941,835,599,384,585,609,
962,182,568,577,314,162,789,045,019,882,065,830,255,220,231,149,189,037,179,
575,113,988,948,127,150,638,709,427,940,997,121,513,150,209,569,444,751,911,
260,053,197,814,576,380,745,834,444,708,075,833,693,949,881,308,314,673,767,
452,069,999,023,887,370,814,957,572,335,134,640,805,756,060,474,902,855,277,
968,906,682,543,369,038,160,180,395,095,469,260,469,498,187,896,897,285,231,
861,527,901,402,349,652,108,656,388,771,936,488,456,467,266,146,386,392,229,
172,001,802,846,020,403,733,520,996,867,978,527,315,218,013,419,311,359,586,
934,570,080,222,399,405,617,918,148,379,699,770,433,534,447,570,607,719,072,
133,896,676,817,940,625,986,191,632,822,418,875,650,633,648,835,077,961,845,
694,659,468,827,051,706,184,272,984,257,824,936,133,111,742,225,205,573,128,
142,637,162,227,032,438,223,935,593,285,428,035,503,163,460,729,893,539,081,
765,054,322,974,969,013,119,318,457,810,369,010,721,624,702,106,278,657,437,
645,126,739,684,415,612,632,745,576,032,158,861,523,356,696,144,905,219,269,
460,484,510,834,203,483,431,172,933,021,991,590,504,660,617,731,532,028,670,
970,738,666,875,178,902,791,419,600,587,050,564,116,829,946,848,694,379,143,
309,285,981,318,700,286,682,915,910,014,127,117,762,071,871,501,573,294,978,
675,630,219,866,379,200,673,621,138,706,384,832,398,143,772,169,105,072,325,
281,017,573,971,051,359,586,564,688,687,376,947,415,406,147,356,212,267,659,
729,772,371,390,711,579,934,021,492,014,265,431,700,407,626,027,666,763,559,
968,473,289,743,730,733,246,085,696,171,248,264,696,744,297,321,433,608,326,
772,862,930,919,046,319,632,545,505,498,796,592,077,525,124,784,871,847,302,
043,822,379,570,858,026,476,861,216,141,025,812,126,669,335,442,331,673,039,
284,030,260,527,692,246,479,087,887,749,844,573,320,299,471,676,340,926,023,
722,695,439,812,359,978,512,750,587,309,778,857,290,329,828,411,950,266,770,
979,348,470,838,086,666,641,732,723,989,890,006,194,459,981,060,805,542,063,
705,877,778,493,476,979,272,650,087,959,572,407,843,740,574,523,800,230,161,
501,369,155,367,553,184,893,210,613,165,965,153,944,873,206,945,054,279,940,
730,497,043,538,538,728,285,230,251,837,366,705,024,390,000,527,961,426,067,
521,168,131,274,758,233,118,360,045,528,375,761,891,551,351,368,674,532,450,
679,897,191,868,428,550,930,521,392,655,957,047,091,660,806,870,514,071,649,
734,991,378,022,351,805,478,924,624,753,834,665,293,863,730,349,033,416,580,
932,746,766,514,594,410,636,033,785,286,604,546,464,969,249,291,674,987,494,
839,551,121,320,955,062,766,701,497,194,250,111,325,287,485,530,478,443,634,
587,783,704,227,961,269,596,812,944,195,433,738,044,417,473,518,351,798,531,
624,712,109,571,981,832,586,664,083,427,708,314,347,950,069,425,385,524,710,
903,691,820,818,074,200,148,316,184,186,047,814,406,136,850,914,479,356,080,
432,774,352,198,787,534,440,514,055,248,631,770,517,077,196,946,695,494,882,
613,801,144,718,874,402,645,225,211,820,454,603,605,341,154,725,625,299,770,
508,497,358,031,310,529,229,016,078,583,169,397,166,413,439,278,139,703,932,
532,952,757,568,874,085,461,684,287,182,330,487,729,671,853,578,369,805,816,
936,027,238,620,284,705,434,048,492,481,134,604,845,418,344,155,754,584,367,
267,344,271,522,330,965,397,593,838,831,185,604,315,944,779,882,944,729,729,
756,622,316,782,596,746,772,723,513,505,320,819,465,595,916,523,687,489,680,
427,648,249,325,128,799,723,953,591,373,868,214,939,575,323,472,434,689,998,
119,715,808,742,886,506,844,870,291,841,547,499,884,828,703,973,349,958,096,
129,642,187,562,685,176,947,525,768,417,151,853,338,282,841,376,728,965,969,
924,346,234,640,938,102,985,403,042,689,713,773,380,833,114,513,161,829,274,
521,226,078,356,266,466,926,393,297,292,260,981,651,393,458,427,116,359,187,
256,017,364,794,789,009,004,791,518,744,252,044,079,645,335,250,764,823,265,
387,124,765,579,403,718,546,712,744,985,617,156,100,470,204,559,127,936,594,
307,990,839,798,203,151,300,860,763,877,974,505,695,522,726,406,213,753,614,
869,199,855,801,566,589,788,943,545,646,210,995,215,561,833,406,050,246,477,
714,542,049,575,533,264,490,429,276,900,920,108,848,336,094,220,241,369,187,
021,667,762,539,831,792,205,115,469,959,475,610,973,161,352,162,480,724,277,
385,547,433,129,009,126,504,647,300,947,352,275,110,361,869,373,598,178,912,
519,701,189,171,461,497,547,858,235,686,554,251,282,461,551,284,099,420,662,
505,108,536,775,221,179,754,318,603,485,197,330,230,165,937,277,463,972,740,
338,559,543,988,342,687,038,838,269,924,894,224,498,989,824,441,475,384,762,
657,312,107,481,075,621,696,322,919,932,807,249,512,512,798,924,184,170,269,
121,554,718,846,391,501,804,114,312,612,419,677,001,845,807,759,059,324,284,
988,470,552,928,966,888,957,377,801,956,011,764,268,657,113,893,217,851,147,
781,033,112,093,904,246,243,401,919,925,726,131,915,335,207,484,992,835,414,
938,398,053,095,262,912,634,036,415,981,534,464,955,892,325,741,445,737,157,
809,658,983,934,648,413,517,284,681,451,857,679,012,197,886,900,880,352,826,
752,569,485,500,217,918,064,136,346,095,042,544,437,148,961,756,564,219,625,
264,195,221,428,490,038,492,923,217,152,603,600,356,514,514,130,403,867,245,
446,193,679,013,786,113,971,872,554,068,412,647,664,878,897,451,139,707,571,
739,507,439,214,164,423,837,135,963,275,916,937,015,642,683,712,356,072,478,
129,903,369,427,468,125,701,678,986,530,967,319,962,163,445,847,107,992,485,
492,382,457,974,717,054,311,321,564,680,841,492,552,159,833,084,660,868,709,
374,476,476,775,959,439,304,363,004,731,571,330,532,301,580,490,773,706,158,
576,651,783,715,350,171,104,010,778,084,156,365,514,126,435,177,976,868,532,
623,064,608,837,350,159,563,018,629,772,673,158,212,863,043,371,475,971,791,
704,194,255,127,370,353,440,868,717,841,614,484,602,955,542,666,784,378,746,
769,112,293,740,803,405,415,128,095,025,088,709,439,376,405,466,870,864,796,
574,001,372,353,326,410,376,480,274,604,702,701,116,805,925,094,410,232,839,
702,750,419,842,851,229,897,228,323,799,998,418,821,408,356,925,565,659,718,
981,605,402,713,104,713,368,934,451,598,566,018,860,329,501,030,815,504,075,
370,503,017,892,456,088,381,932,434,155,097,542,822,426,094,811,085,546,434,
415,640,518,617,280,684,999,391,422,447,961,005,005,085,093,668,288,371,572,
306,610,769,358,659,887,863,661,746,011,534,749,135,142,856,176,839,082,356,
130,056,248,566,331,810,196,935,224,793,137,895,384,123,385,778,881,367,814,
950,475,144,904,427,326,156,391,720,153,697,759,188,988,205,353,853,154,875,
845,465,935,163,364,916,282,031,155,518,292,310,112,604,798,840,037,457,217,
136,835,080,439,374,007,726,323,365,929,882,400,955,678,563,058,744,075,992,
857,620,230,894,392,048,252,082,280,809,726,703,928,316,713,414,306,715,750,
782,745,978,840,056,951,585,150,170,068,248,040,378,962,948,967,677,628,059,
099,751,429,345,687,725,916,501,522,903,997,577,999,163,490,631,805,740,924,
589,813,379,593,161,466,698,001,758,869,315,619,218,734,813,048,346,085,774,
390,416,395,840,723,577,707,438,148,606,785,059,386,452,451,811,099,976,884,
599,673,483,157,027,013,636,903,382,323,839,016,071,389,361,495,259,444,421,
569,209,168,015,604,941,973,793,233,913,503,169,654,644,974,956,630,097,017,
117,945,760,209,050,163,907,985,629,066,215,618,516,070,827,136,470,687,805,
334,082,643,626,838,435,046,370,928,384,699,330,102,870,707,046,923,041,020,
824,454,405,993,631,245,087,361,987,330,270,451,293,532,670,365,454,596,753,
459,252,727,774,285,458,613,306,646,434,702,285,739,250,617,200,173,466,948,
402,696,172,918,793,875,044,123,768,628,870,684,860,401,254,139,453,122,309,
060,092,832,076,109,721,415,678,629,618,810,513,559,322,206,938,162,464,278,
532,697,588,431,059,504,107,911,686,911,697,970,685,569,461,994,848,948,666,
650,529,388,054,542,740,405,276,791,516,265,240,689,145,718,390,375,827,975,
704,096,775,824,507,142,043,063,115,398,383,265,810,792,800,989,149,355,336,
378,948,267,810,619,558,864,898,820,159,894,353,724,080,143,854,325,189,029,
891,322,452,701,677,628,278,565,442,860,647,269,071,516,048,100,396,789,605,
215,376,041,912,605,876,363,724,253,751,258,491,422,902,617,168,234,538,218,
026,714,741,337,005,047,795,369,416,496,154,905,147,029,325,171,932,718,590,
421,824,091,601,466,568,692,590,821,898,353,816,666,216,495,066,996,740,646,
000,310,221,311,193,214,867,934,516,269,723,456,900,791,438,526,682,142,921,
803,643,016,861,261,213,032,048,480,578,959,504,373,241,062,233,857,637,868,
845,314,123,223,228,762,571,542,185,430,561,694,646,674,748,228,990,293,900,
608,722,019,975,421,062,880,166,653,465,049,507,695,302,345,308,076,551,671,
511,723,014,628,816,580,226,697,763,829,939,278,661,947,013,395,582,876,346,
033,028,030,916,051,699,571,223,997,529,438,768,776,645,160,405,800,152,779,
568,483,988,033,103,602,387,857,695,438,519,064,658,732,345,444,773,099,851,
015,197,762,337,074,577,409,660,162,005,969,363,901,886,149,698,675,991,115,
462,281,024,212,639,900,848,855,467,549,630,902,105,223,623,341,850,376,224,
573,559,880,000,133,049,267,919,110,259,093,542,601,776,005,351,170,267,708,
305,183,465,641,901,735,292,944,290,176,226,551,929,559,207,409,434,508,777,
167,494,142,008,157,377,752,163,851,368,909,282,906,686,106,220,674,017,071,
333,693,843,878,320,363,239,154,919,540,707,301,906,553,319,221,523,700,450,
411,272,191,700,173,347,828,979,279,823,398,580,129,735,734,898,446,343,603,
466,287,823,056,410,185,338,257,094,236,991,164,095,046,332,353,265,984,066,
432,622,432,120,589,706,824,950,322,130,783,340,246,026,302,146,961,082,206,
984,437,096,976,745,470,039,242,964,456,809,991,024,686,667,859,773,164,970,
300,441,263,220,744,734,825,002,585,727,027,369,215,074,145,674,629,895,655,
904,294,331,558,203,383,877,420,389,759,578,309,627,996,518,665,549,821,540,
755,892,784,140,506,485,602,259,193,160,102,784,444,090,941,823,918,554,874,
194,433,120,716,125,130,742,142,779,841,368,690,231,901,163,858,914,984,707,
217,937,949,611,149,185,411,850,252,731,481,047,257,910,990,879,785,776,203,
711,932,805,328,775,976,219,837,818,596,625,771,904,583,670,475,609,980,810,
262,173,093,461,623,159,894,221,892,622,563,467,450,806,678,299,564,249,329,
151,332,190,008,096,427,495,666,147,140,138,821,771,784,477,348,139,351,711,
772,170,975,798,744,689,611,676,448,262,749,448,481,165,796,088,813,281,009,
315,720,301,466,166,561,784,243,628,559,446,855,465,159,482,519,712,132,871,
898,586,650,124,995,630,825,986,174,694,440,051,145,089,205,683,547,523,731,
069,525,480,122,802,206,776,218,941,772,475,374,956,140,444,760,180,282,183,
702,259,196,507,899,640,074,622,432,814,507,342,389,569,983,941,040,262,444,
337,376,405,835,274,888,182,982,083,164,361,181,592,452,952,657,994,328,678,
666,120,291,591,005,311,450,534,764,718,219,324,032,880,031,947,747,613,378,
694,189,270,287,152,301,627,852,863,909,028,365,665,948,357,996,961,399,006,
193,268,167,114,246,600,047,262,404,343,842,772,908,361,518,619,243,080,451,
468,946,218,927,008,647,532,899,600,657,111,436,996,795,902,575,080,447,744,
483,374,908,039,360,661,181,369,557,846,713,982,141,083,608,996,353,439,380,
953,726,964,443,424,077,806,838,657,491,712,704,186,738,428,867,432,962,900,
599,289,892,420,943,344,893,150,245,773,415,679,828,766,204,716,589,103,068,
505,049,864,710,146,120,267,702,693,151,001,850,179,081,823,503,711,182,719,
193,531,414,505,573,520,064,398,769,884,190,114,752,841,615,782,494,750,789,
868,006,134,575,398,991,861,449,678,592,638,895,612,163,210,783,248,622,771,
284,511,611,655,830,211,208,830,444,843,057,190,411,343,597,935,976,869,285,
098,274,819,948,522,198,596,339,607,342,128,570,630,365,270,036,235,846,443,
170,888,149,338,741,389,116,446,940,492,581,913,197,443,585,211,552,831,373,
287,667,287,352,889,483,737,150,418,564,362,370,870,565,181,127,372,560,082,
198,533,122,003,424,460,185,665,202,018,405,999,053,743,006,646,577,715,977,
366,063,671,270,883,333,134,393,673,219,341,752,991,374,722,183,780,369,817,
224,893,867,735,457,499,803,142,092,248,519,018,822,378,895,195,393,822,606,
735,154,257,401,822,121,209,696,364,536,952,266,703,342,283,917,503,558,719,
468,516,485,833,007,040,422,525,278,478,827,950,326,289,504,573,770,338,439,
201,474,181,415,454,054,087,323,411,203,757,896,149,304,904,055,590,553,951,
911,708,704,577,300,854,986,624,613,894,544,956,484,388,054,552,121,431,035,
118,354,901,886,742,558,032,288,569,857,420,338,348,527,954,369,201,709,075,
834,364,110,910,435,760,125,921,189,287,962,749,474,581,899,387,572,569,033,
600,016,062,867,799,679,980,492,059,937,146,459,452,941,400,651,845,785,064,
760,822,752,370,739,837,614,927,353,494,899,251,309,806,791,858,191,902,402,
204,779,678,358,575,035,724,353,075,983,601,968,988,389,971,394,153,233,410,
615,586,184,436,784,362,092,271,745,238,985,002,876,953,492,639,590,938,531,
960,788,611,733,728,005,694,804,546,898,951,201,544,149,849,312,981,994,032,
283,190,458,822,049,109,946,348,139,268,575,252,575,826,833,152,263,107,074,
795,845,282,582,565,421,247,566,457,618,681,218,566,942,950,890,277,125,539,
805,196,592,727,748,018,666,385,648,317,012,811,346,224,325,300,403,667,540,
447,329,511,303,559,241,066,687,048,939,690,802,204,478,936,457,657,451,786,
244,210,693,768,566,786,272,659,078,201,700,773,201,682,380,014,572,038,552,
459,394,852,823,680,007,467,662,604,961,125,246,688,709,570,028,839,190,542,
818,859,165,505,630,898,651,369,140,694,748,853,980,452,299,371,799,563,853,
643,445,367,764,551,961,404,834,378,488,321,065,307,856,354,147,069,049,957,
141,838,431,644,295,119,536,153,107,938,096,572,119,009,740,215,327,959,146,
346,592,193,992,447,999,150,191,184,579,397,574,262,951,117,321,379,545,865,
611,618,281,042,676,831,232,911,963,162,636,395,462,808,164,919,681,315,983,
907,168,362,466,230,582,147,319,004,326,705,516,216,234,924,093,114,807,994,
863,659,027,258,331,157,796,879,581,285,003,830,747,927,057,767,785,460,889,
795,376,915,393,320,098,691,379,976,113,435,609,241,910,397,939,646,001,226,
465,349,761,889,386,771,806,816,128,787,041,760,786,312,896,351,536,189,822,
304,309,113,015,721,600,326,569,543,599,067,457,395,216,235,111,784,407,256,
586,615,768,151,815,629,992,436,520,550,692,175,227,334,432,279,756,451,147,
415,201,935,889,094,132,740,785,480,161,778,227,836,345,527,212,287,717,384,
025,011,561,722,398,730,739,612,003,688,509,758,821,019,098,022,837,558,748,
573,595,739,807,721,746,064,579,536,944,182,583,826,514,769,052,886,153,394,
584,410,496,207,269,727,647,033,687,425,368,429,709,687,052,339,434,844,068,
111,593,675,846,593,922,033,012,774,965,309,453,675,003,024,738,403,599,997,
105,139,134,947,252,791,854,284,707,173,349,637,992,599,886,543,457,495,872,
881,538,909,229,929,740,824,218,839,933,886,222,683,705,868,889,354,765,822,
185,719,067,854,203,835,123,595,635,381,729,127,025,347,383,222,634,011,935,
183,301,242,960,219,631,858,203,777,470,170,015,896,599,072,274,948,370,125,
957,606,273,163,699,353,348,259,700,237,230,193,781,220,558,830,253,148,096,
484,365,993,512,414,474,535,373,246,279,356,701,953,871,638,770,206,243,550,
129,148,248,306,511,960,212,618,957,782,997,234,413,590,638,825,827,585,108,
850,310,854,792,442,087,822,666,702,930,816,071,194,620,571,620,153,095,822,
628,668,808,194,471,078,696,151,066,563,701,805,575,891,625,370,526,338,684,
179,426,411,843,828,061,159,204,558,655,481,626,718,741,503,876,351,309,271,
778,472,242,043,493,502,193,313,182,595,779,393,641,862,620,010,192,022,789,
743,240,871,670,349,764,275,388,627,058,951,050,674,381,329,379,159,444,603,
584,531,455,919,122,294,145,992,543,904,945,512,547,251,096,020,867,495,457,
663,958,230,257,446,577,826,786,877,963,507,540,396,994,800,530,037,284,941,
767,518,478,625,088,118,733,302,896,933,897,167,000,865,227,316,365,217,238,
329,653,604,467,226,047,297,648,557,200,111,466,828,738,445,715,832,493,368,
069,291,206,799,051,972,626,957,721,047,310,161,300,567,279,170,298,063,348,
233,524,914,130,186,393,348,409,826,140,191,485,387,509,528,967,232,018,897,
039,944,791,509,605,972,288,241,446,520,059,072,571,646,694,242,385,629,696,
331,309,263,334,392,593,449,210,172,690,117,284,417,713,660,313,921,978,485,
992,245,135,767,357,753,715,629,072,313,612,661,989,763,523,581,978,917,873,
504,602,054,144,926,468,968,742,420,008,221,609,969,796,632,793,223,241,143,
914,355,014,319,129,151,247,448,115,631,604,564,470,597,507,825,614,970,939,
124,143,441,972,969,751,892,622,790,595,883,800,297,010,064,863,753,713,809,
143,945,577,547,722,641,510,534,710,032,948,721,919,167,550,403,000,305,115,
636,439,807,986,753,988,569,430,152,673,116,862,239,389,849,934,513,095,599,
155,900,648,972,355,073,699,690,283,042,470,336,366,200,301,473,233,401,845,
314,216,877,424,858,272,072,762,792,829,207,212,005,980,555,056,161,697,999,
780,089,838,923,395,204,547,264,579,559,730,040,955,134,432,557,901,527,174,
558,059,912,484,191,159,761,712,481,769,689,039,456,630,529,316,939,373,223,
357,722,274,172,233,082,279,946,931,708,902,933,977,155,101,740,824,587,400,
372,544,834,868,819,406,680,767,912,348,799,403,983,161,745,635,622,209,157,
930,129,178,621,077,303,990,139,908,854,791,429,813,826,369,245,593,292,819,
721,090,809,207,985,261,621,055,499,643,273,318,391,723,319,152,259,442,549,
272,565,207,651,343,705,341,871,708,265,635,722,875,630,239,235,513,618,444,
864,516,524,707,174,251,818,445,250,145,282,299,286,471,165,250,638,300,958,
676,097,477,934,443,029,676,409,779,592,109,190,533,290,593,305,846,346,277,
920,879,065,652,358,579,584,329,407,314,065,530,328,045,584,823,653,826,020,
941,739,664,574,139,368,986,485,949,323,604,629,540,760,668,499,030,710,735,
197,247,903,067,035,061,728,900,184,845,935,051,138,800,365,120,119,959,388,
345,080,609,147,864,974,240,911,864,414,992,780,252,568,988,268,831,899,486,
196,012,314,404,280,469,829,578,239,175,769,134,847,255,378,132,059,913,562,
344,610,751,920,930,389,898,521,645,247,193,285,462,827,142,152,959,496,455,
567,260,373,423,065,177,468,100,348,344,973,658,815,724,568,948,086,530,959,
766,881,481,554,699,255,023,627,656,965,788,245,057,732,444,421,903,393,267,
564,205,537,494,949,447,430,223,881,353,769,305,207,848,773,430,427,886,023,
663,600,921,887,090,473,184,123,393,779,592,066,976,821,907,941,760,435,676,
690,051,637,921,639,003,230,317,484,512,462,345,254,934,597,500,142,248,970,
299,741,459,226,718,628,807,108,229,187,161,672,800,143,511,819,904,856,866,
569,973,165,183,659,948,945,269,180,947,493,019,031,279,368,995,248,287,114,
244,729,670,526,865,137,456,159,679,984,749,751,071,217,943,241,170,324,976,
898,606,375,677,737,123,934,020,118,218,611,216,701,007,865,821,908,295,285,
639,218,292,839,835,639,515,597,298,956,945,345,019,350,098,952,605,993,689,
302,751,644,714,481,423,867,598,982,013,581,425,388,951,779,241,750,265,245,
714,232,643,098,546,816,500,634,281,513,912,711,661,214,415,736,875,266,446,
180,254,297,045,602,577,734,041,767,003,984,867,981,600,408,880,412,520,692,
989,283,548,871,292,854,783,164,034,140,609,114,636,371,742,708,839,199,604,
236,121,467,917,051,748,786,364,398,006,432,902,788,408,979,479,108,461,232,
640,121,271,196,618,606,181,996,077,115,647,634,377,562,370,494,938,748,894,
405,112,819,403,432,193,553,332,678,732,380,727,555,726,492,818,643,945,071,
039,740,638,653,665,103,753,533,611,728,374,520,076,214,444,137,781,568,574,
228,659,328,863,441,216,362,328,852,259,438,639,648,501,488,392,537,499,384,
753,772,264,142,556,155,021,284,050,826,147,848,642,149,995,996,028,966,538,
066,068,487,033,059,426,892,660,514,017,434,891,654,367,316,790,638,417,482,
507,736,288,170,279,712,082,397,911,567,325,748,369,299,401,253,166,267,852,
909,516,030,717,159,183,088,791,899,042,359,033,385,068,917,312,240,428,416,
117,398,819,736,187,044,670,491,769,463,003,109,919,808,039,531,810,250,582,
343,057,069,897,746,275,586,044,509,484,894,595,652,052,688,173,414,784,500,
130,074,313,650,853,601,475,294,598,091,486,503,824,156,811,280,723,404,728,
354,369,107,690,002,292,144,143,907,733,754,210,861,619,104,898,318,673,258,
281,816,591,143,170,786,015,388,458,942,808,557,628,731,074,298,832,139,178,
888,012,511,229,734,414,437,050,552,380,776,732,796,999,573,774,052,005,745,
407,878,327,334,145,695,625,683,426,768,921,408,360,066,617,625,685,636,436,
361,052,935,806,857,796,312,495,549,193,443,841,923,902,877,847,722,658,512,
360,895,955,590,383,856,124,569,371,256,972,474,678,331,745,119,003,073,151,
499,999,440,503,461,581,946,881,004,543,106,142,834,934,452,774,935,038,918,
262,277,352,923,529,100,204,108,667,887,454,278,187,925,345,142,555,645,347,
338,969,835,183,727,002,976,990,553,246,856,128,432,550,580,327,822,017,837,
088,123,736,696,033,416,049,223,417,539,305,098,887,514,286,718,238,910,166,
470,936,319,680,938,119,012,438,236,563,725,815,345,349,935,955,040,340,648,
235,131,921,260,742,347,286,673,153,740,414,599,616,490,400,851,692,921,421,
834,065,970,728,150,555,432,881,577,180,998,953,413,618,761,020,423,716,532,
115,063,381,929,217,865,159,204,600,339,679,227,059,581,257,349,538,081,345,
999,444,973,085,416,663,065,971,468,370,299,668,627,451,779,765,035,304,216,
189,692,711,099,829,183,239,046,837,042,530,500,648,012,513,265,232,874,433,
295,306,315,750,919,048,521,408,052,293,890,974,613,139,087,140,525,582,312,
488,776,872,349,473,687,311,337,052,212,301,470,593,089,103,616,534,308,741,
374,032,420,022,380,666,463,954,000,692,963,525,779,342,291,100,496,990,378,
564,261,165,780,326,814,850,934,631,198,956,152,110,699,110,327,661,345,737,
834,382,951,863,711,303,521,994,257,594,439,096,449,248,075,310,855,267,902,
545,414,231,583,415,754,619,688,189,466,865,553,772,474,889,328,562,976,625,
653,090,228,993,747,886,811,879,664,972,513,073,819,619,688,779,501,617,464,
656,826,110,557,225,319,079,803,951,529,299,939,837,677,314,198,470,183,603,
309,286,329,005,791,727,998,409,045,773,719,556,128,982,713,929,898,222,494,
056,930,737,679,636,883,539,939,681,582,873,811,773,180,490,022,558,885,715,
385,453,005,947,195,150,194,733,830,039,972,148,676,135,169,330,368,757,776,
507,387,007,940,538,276,965,695,175,046,602,858,043,814,115,013,345,386,176,
169,222,868,403,020,498,917,286,765,099,379,599,564,403,204,291,413,511,679,
704,536,893,464,387,865,040,312,316,990,765,271,514,481,955,831,153,008,469,
781,861,270,913,108,236,435,366,604,829,941,684,911,487,831,864,957,646,240,
108,617,107,736,580,604,030,931,821,072,329,736,069,246,091,652,769,824,564,
623,162,040,811,915,756,922,102,343,681,643,574,787,670,730,402,221,658,077,
307,733,536,384,775,811,172,641,198,550,674,176,091,791,141,180,929,914,587,
164,198,046,262,510,807,093,183,171,269,153,595,170,062,801,886,769,381,697,
944,335,700,166,768,758,894,063,502,811,926,959,378,558,984,844,509,122,382,
012,235,974,504,503,346,091,530,638,660,682,166,753,981,419,750,242,244,806,
597,118,346,252,548,182,849,300,178,054,946,836,903,794,170,306,980,000,454,
890,682,969,773,402,573,417,983,053,826,656,218,115,413,024,739,943,424,289,
597,308,628,059,880,855,889,894,280,158,992,981,514,752,442,348,651,389,415,
107,277,778,069,988,711,546,038,303,471,788,174,010,584,316,062,258,721,418,
537,986,400,106,337,911,283,708,732,903,127,025,514,511,741,327,675,851,668,
449,993,904,864,707,586,502,000,177,474,894,596,224,944,939,132,279,001,343,
340,394,576,042,922,535,824,223,250,392,352,552,408,159,324,327,456,813,274,
787,447,466,382,402,691,311,211,640,180,666,422,496,294,245,228,395,379,863,
571,042,935,122,098,413,275,191,780,527,134,811,842,010,942,186,073,408,616,
879,572,846,029,990,662,130,081,660,695,563,013,206,228,896,525,673,714,193,
153,581,598,588,159,276,933,078,043,802,191,933,468,942,660,748,951,437,074,
088,480,401,381,398,511,683,026,174,396,645,095,595,331,337,456,744,216,386,
853,560,623,410,438,746,639,747,431,617,083,713,511,246,592,319,350,361,254,
583,187,041,606,872,097,601,780,984,132,910,627,419,952,635,999,794,033,161,
255,816,380,675,832,845,254,901,508,039,330,949,879,293,388,486,702,001,316,
736,352,403,312,983,695,436,072,553,016,015,068,034,612,721,606,827,559,413,
897,104,381,043,731,377,321,641,645,788,744,557,529,903,339,415,705,715,991,
660,783,581,514,104,874,517,188,148,925,798,318,202,701,792,773,557,225,967,
639,482,042,019,496,690,158,424,638,145,381,425,744,114,671,270,435,412,632,
426,025,805,253,688,980,133,244,220,047,036,361,594,867,149,680,543,899,405,
026,321,750,744,112,841,084,266,200,045,581,093,554,060,745,129,238,984,264,
656,818,085,254,060,686,825,643,752,191,950,746,545,101,946,086,047,947,564,
560,740,318,917,985,378,278,669,364,303,840,440,515,342,141,697,132,795,334,
704,433,922,227,689,750,047,167,165,171,067,372,849,760,046,044,601,861,490,
669,943,493,906,398,194,539,163,607,388,114,598,534,053,755,165,145,998,902,
176,403,388,705,230,307,682,985,777,217,426,781,533,130,317,524,121,292,127,
423,822,785,736,535,705,886,926,324,449,577,644,803,647,721,608,147,266,272,
699,771,928,920,169,845,760,477,000,997,683,274,074,888,198,598,850,847,483,
910,453,530,760,691,785,999,399,145,599,146,881,818,396,251,205,741,472,616,
158,648,838,742,080,039,196,320,623,583,877,500,372,224,242,622,927,007,632,
081,013,090,642,196,547,451,177,114,874,219,540,031,085,933,444,091,936,520,
857,859,265,419,848,756,581,164,725,082,132,359,932,686,586,995,893,806,591,
148,387,141,649,000,762,875,110,581,523,541,371,394,469,532,807,767,971,243,
901,358,674,697,745,345,438,296,226,315,633,816,288,505,570,297,197,634,704,
290,495,868,803,271,469,476,001,174,898,301,792,605,109,974,640,969,869,414,
610,085,069,624,367,522,969,868,640,641,121,014,363,682,970,807,618,459,775,
636,261,411,617,165,353,625,683,424,283,858,103,877,852,925,769,550,705,556,
481,906,942,191,441,010,348,266,849,109,141,507,251,383,397,834,285,413,467,
640,378,150,717,288,549,135,420,637,575,563,083,958,069,016,670,920,648,513,
536,525,176,098,385,670,694,956,129,963,839,233,835,678,861,698,904,639,400,
087,882,018,503,601,009,554,224,892,659,785,970,373,240,148,917,384,096,326,
237,934,645,356,970,599,193,936,657,994,852,747,973,871,600,366,236,299,434,
457,949,653,095,628,112,175,901,333,717,394,429,352,239,268,009,970,961,894,
707,511,552,525,557,889,973,425,270,045,946,463,176,186,446,262,342,248,912,
399,958,360,444,892,933,074,519,032,003,566,422,232,566,122,029,446,076,054,
306,794,257,655,868,943,948,230,518,980,123,560,957,173,382,580,856,673,449,
102,426,288,310,979,729,940,588,180,455,719,306,225,837,066,712,007,999,295,
100,264,573,661,788,884,988,776,745,867,901,812,962,326,743,526,836,170,547,
556,066,807,664,671,840,149,908,540,952,142,434,109,226,391,677,806,178,262,
440,055,058,619,615,025,826,529,353,756,427,080,032,158,634,101,828,102,086,
760,576,039,508,590,302,939,675,666,407,008,286,119,873,950,989,551,215,318,
744,122,580,098,683,202,749,770,824,494,008,906,128,880,869,233,265,583,588,
218,640,201,501,041,389,104,376,417,697,312,037,821,853,580,558,192,966,685,
171,401,192,181,203,499,486,993,846,341,952,364,753,788,067,369,377,733,948,
719,720,754,885,628,645,678,064,558,640,114,893,233,455,637,431,588,990,648,
222,575,442,404,072,255,846,874,358,096,964,446,803,628,475,201,265,430,857,
033,269,337,888,079,943,457,365,096,047,007,313,528,503,812,894,528,466,673,
995,824,603,512,156,418,541,484,541,504,137,421,095,795,210,012,673,932,882,
331,625,007,515,510,673,052,237,921,827,429,439,612,286,644,015,715,273,018,
811,280,552,275,892,778,260,398,573,622,958,793,953,829,818,521,236,140,181,
282,534,697,118,211,246,967,199,573,150,851,113,549,336,156,975,991,465,454,
207,775,176,152,620,376,386,304,091,313,452,100,800,471,620,879,620,077,442,
935,414,758,753,143,066,502,535,771,465,701,430,035,106,182,837,121,017,477,
846,231,198,719,944,158,034,266,046,163,399,221,942,176,287,532,406,326,951,
889,579,570,225,049,238,682,991,008,270,499,900,746,177,441,825,246,975,382,
743,867,125,167,850,214,314,973,095,004,944,444,253,082,702,051,610,739,818,
605,648,514,047,476,199,117,225,816,370,226,449,860,901,384,288,090,021,042,
360,171,980,677,091,775,205,085,423,437,067,076,517,466,266,451,388,343,859,
547,168,885,893,598,842,944,257,903,690,042,147,955,237,194,507,447,323,425,
938,822,417,452,366,870,109,999,014,366,378,492,040,232,198,193,388,825,848,
828,974,113,271,930,803,643,713,895,384,518,773,232,589,059,894,310,461,663,
715,048,311,414,423,804,465,465,542,582,362,196,425,559,277,020,568,478,862,
757,788,145,091,161,746,069,702,080,574,831,552,622,351,430,776,128,229,293,
551,117,619,061,534,673,999,995,526,611,908,512,677,609,349,202,444,617,792,
020,248,237,688,312,110,651,173,408,792,308,972,356,552,963,023,737,114,063,
454,414,073,527,112,123,870,416,425,679,994,890,683,611,963,066,035,141,409,
370,204,032,256,539,958,017,692,744,462,646,263,765,596,830,745,802,159,613,
629,646,156,350,852,111,223,254,016,691,801,616,791,623,182,696,776,027,617,
185,988,747,438,293,414,072,735,170,493,978,450,111,356,439,350,269,459,331,
513,930,955,090,791,864,066,621,884,417,054,402,294,814,527,967,481,255,355,
726,922,076,390,125,855,465,651,433,548,394,019,808,039,163,455,906,762,580,
222,285,014,940,309,770,419,750,040,318,336,170,859,787,370,382,816,042,451,
027,059,321,713,670,473,824,813,655,334,753,155,928,430,679,079,336,407,568,
973,331,000,073,419,933,267,678,705,144,428,711,500,133,776,856,746,844,264,
010,573,650,037,950,070,784,669,429,124,507,469,660,271,521,920,343,080,500,
386,180,552,381,853,350,912,310,464,892,958,677,093,175,607,954,223,866,524,
069,991,398,379,133,636,908,053,975,257,063,093,387,521,984,106,049,372,321,
008,337,460,113,143,473,312,077,578,377,686,413,081,753,013,131,078,095,945,
497,737,916,199,710,119,606,276,114,024,308,890,994,223,452,622,995,164,046,
811,222,736,701,956,459,465,037,938,529,767,494,955,661,431,719,528,230,216,
455,829,840,693,838,545,684,249,178,341,632,898,395,131,651,904,202,897,616,
706,140,589,788,470,133,334,287,235,637,035,381,744,553,869,566,955,660,832,
558,458,696,802,556,746,888,881,500,502,111,258,048,766,102,516,381,555,298,
094,887,867,764,454,742,081,006,773,631,583,387,334,635,945,716,169,243,879,
809,402,192,556,951,048,912,064,241,323,686,440,037,162,391,503,988,491,899,
083,924,086,782,878,440,741,151,582,037,137,556,490,097,276,634,299,548,052,
970,774,329,299,217,800,000,599,418,033,241,072,099,679,443,477,839,164,412,
230,887,269,880,826,721,086,272,278,313,367,320,224,833,340,679,864,838,289,
674,428,130,485,530,538,470,906,964,496,701,719,983,374,721,959,036,425,898,
628,459,541,073,284,994,001,687,509,181,896,069,992,127,033,564,194,956,958,
105,026,318,540,800,409,625,601,058,203,693,904,733,969,446,115,802,192,196,
104,953,284,559,266,697,204,483,613,623,256,262,234,900,898,724,316,146,166,
983,873,266,073,956,517,491,960,266,723,629,865,955,021,533,811,471,353,878,
420,102,704,738,186,061,104,185,270,264,031,574,986,464,104,685,271,001,090,
021,296,639,876,979,363,304,074,378,717,829,519,453,218,887,118,678,916,692,
766,397,731,999,385,273,452,526,642,705,692,198,039,092,609,013,946,227,100,
197,067,627,847,892,772,517,852,757,110,148,553,080,712,543,725,263,776,274,
531,797,543,583,971,213,690,191,677,007,185,268,855,528,538,090,558,706,064,
709,537,949,647,841,358,456,843,746,788,224,502,010,785,079,181,359,735,158,
774,345,568,430,433,897,453,977,424,182,480,868,930,195,980,516,058,374,269,
685,329,923,510,886,496,852,153,928,488,444,558,806,565,579,716,728,493,750,
395,754,182,432,668,018,718,801,647,332,613,997,296,866,001,061,187,043,040,
352,748,235,000,087,166,189,991,279,381,476,461,584,131,535,738,363,233,938,
702,088,360,309,580,923,998,239,260,404,024,343,982,049,204,845,677,004,540,
626,648,124,919,309,791,785,146,285,650,148,398,375,594,160,219,721,852,531,
719,741,440,570,184,097,972,937,615,486,994,504,434,107,404,614,700,617,885,
758,931,184,931,061,864,286,537,472,945,366,776,329,700,399,198,280,994,642,
425,839,250,842,867,762,220,111,670,632,490,581,003,792,325,242,964,854,405,
583,207,773,286,423,571,037,625,086,032,505,066,569,657,873,642,261,699,554,
187,203,292,026,249,014,391,978,483,837,818,673,325,136,765,783,016,041,821,
654,267,447,499,760,243,674,964,905,660,642,128,165,511,648,121,419,728,878,
679,907,254,023,044,139,696,490,407,977,417,780,357,772,724,787,439,188,357,
790,377,683,810,815,801,105,199,363,859,529,035,474,669,179,056,685,348,329,
127,940,353,157,141,348,709,236,059,734,863,516,625,012,075,734,857,375,749,
865,433,152,268,349,577,650,232,968,140,299,651,862,918,813,609,905,561,913,
771,257,203,929,292,167,607,965,285,056,937,958,425,555,266,604,613,584,833,
479,511,093,901,529,696,401,089,413,565,036,749,248,010,856,006,582,904,112,
935,286,060,252,500,898,204,754,458,268,299,675,566,934,441,414,621,358,604,
273,589,150,185,213,787,256,316,806,437,928,816,675,972,852,553,712,207,677,
027,192,347,487,064,734,626,968,780,700,158,590,991,603,382,696,320,385,267,
024,351,027,771,593,431,170,617,325,541,653,185,280,070,280,836,909,368,553,
137,761,297,156,993,498,290,903,319,800,079,924,226,591,848,371,590,989,927,
556,894,397,457,965,790,981,779,293,212,595,215,649,515,767,495,574,155,189,
083,836,917,705,641,283,151,516,349,853,791,374,942,334,194,956,406,159,847,
764,499,099,185,052,427,596,438,707,559,955,390,731,870,336,857,148,298,054,
172,238,539,703,133,728,019,120,247,432,662,526,760,534,655,539,979,772,578,
978,130,670,965,619,720,875,153,045,162,424,341,248,077,807,193,724,186,452,
837,387,635,739,538,270,496,844,559,865,816,334,025,103,022,489,185,043,764,
891,054,988,013,620,473,649,523,144,034,609,530,373,858,481,752,622,439,499,
865,214,779,457,977,218,172,150,470,175,101,337,493,144,572,784,972,067,537,
921,263,068,998,164,118,927,795,968,841,537,331,274,115,758,553,480,284,486,
264,702,753,031,364,947,426,283,239,739,224,291,510,616,503,021,100,198,305,
240,040,951,323,666,382,339,653,322,512,576,996,381,506,098,342,007,745,629,
820,192,469,081,649,836,931,717,716,836,296,395,790,735,908,056,319,781,755,
837,890,360,211,622,969,536,424,002,231,207,527,981,133,271,825,676,516,766,
280,571,624,652,234,793,944,586,698,834,435,999,049,766,700,681,000,698,429,
455,812,795,447,464,859,674,186,123,846,167,636,718,912,170,516,994,709,456,
138,149,961,114,494,566,172,842,248,075,233,903,384,425,121,750,327,464,886,
954,061,296,162,094,591,680,076,695,386,824,864,196,483,125,161,799,941,513,
465,909,111,395,765,010,593,436,698,140,215,960,551,019,471,572,061,619,254,
044,942,247,111,206,823,190,365,072,555,329,319,211,546,593,341,367,048,768,
693,682,037,464,335,277,367,569,900,273,578,557,550,498,994,769,359,324,200,
302,960,411,231,910,786,959,377,229,587,339,128,221,263,089,657,981,417,836,
456,389,647,950,696,482,713,007,951,285,952,935,989,576,226,313,284,394,959,
978,248,233,828,731,820,610,097,012,299,561,277,422,452,454,307,444,947,133,
010,972,163,035,233,452,997,585,369,585,672,418,060,853,660,940,757,592,753,
026,765,417,837,645,901,786,111,025,529,161,627,954,921,349,643,701,141,731,
932,274,404,448,948,888,522,885,649,961,572,282,001,768,044,914,128,703,462,
438,378,277,574,691,347,231,561,154,836,192,564,175,657,347,869,108,003,391,
110,260,804,809,263,933,454,651,456,379,237,241,393,691,447,624,010,649,407,
706,970,429,119,627,289,536,632,536,940,961,436,694,770,272,952,770,147,329,
514,462,274,544,169,812,812,820,915,609,173,235,247,017,426,052,258,828,515,
565,475,761,044,283,114,252,629,879,316,131,209,722,786,973,155,221,134,898,
738,904,010,265,165,166,168,190,406,885,544,632,245,894,150,826,493,964,299,
848,480,910,847,182,253,125,389,973,400,275,076,620,686,753,971,887,032,023,
902,061,955,207,350,167,483,808,727,336,482,896,236,397,009,560,659,696,344,
280,593,303,319,177,086,140,341,764,860,711,821,167,047,279,041,915,526,560,
730,645,274,768,934,415,285,821,342,358,976,417,567,047,295,240,809,943,179,
054,443,399,919,064,097,962,510,565,457,487,709,167,967,632,795,188,832,123,
125,143,354,804,099,386,817,549,566,245,337,771,496,431,684,978,187,131,458,
943,416,284,795,728,278,748,194,414,442,167,589,109,371,295,302,538,753,387,
789,284,002,355,775,025,660,534,485,440,944,201,147,737,457,877,613,793,696,
501,003,726,053,288,918,659,817,066,008,936,482,106,418,031,241,507,167,675,
342,226,822,781,995,212,808,125,229,169,033,756,795,156,052,502,852,979,135,
972,009,916,177,642,307,878,703,295,779,138,750,691,509,908,986,243,685,048,
302,280,291,878,051,867,278,427,846,905,220,662,034,061,637,935,130,521,272,
643,947,812,532,561,344,482,987,776,075,176,646,046,035,029,004,671,567,688,
899,103,864,045,320,480,714,002,391,472,816,679,949,878,883,890,282,792,646,
056,542,899,393,406,800,406,247,132,203,141,043,878,203,799,655,167,775,877,
135,872,023,779,715,088,895,580,220,852,738,811,173,611,181,149,183,328,937,
035,284,274,015,661,523,747,958,043,165,293,835,320,017,784,485,449,924,494,
138,990,138,677,356,158,234,617,376,058,109,270,339,388,435,318,776,746,223,
904,697,372,511,473,002,441,849,792,070,321,822,070,229,740,250,885,850,226,
886,825,835,229,664,298,553,792,736,014,500,982,736,764,998,485,286,659,543,
533,383,953,774,016,988,896,457,405,025,964,651,355,352,537,249,375,630,875,
486,115,156,299,430,905,007,358,618,666,778,623,549,602,990,799,450,263,873,
777,546,191,731,657,674,825,202,688,276,489,091,499,149,983,268,514,267,289,
343,109,902,493,659,581,378,766,414,445,076,829,211,965,811,115,766,830,520,
261,407,630,452,559,690,568,369,318,819,065,185,303,629,727,218,031,649,674,
980,740,461,770,660,564,729,531,175,908,090,069,707,295,411,358,622,766,526,
250,210,733,921,557,129,552,937,782,574,637,110,927,605,501,014,726,731,392,
328,237,257,983,874,225,786,177,858,839,227,977,989,507,448,748,562,621,725,
633,256,349,800,311,487,590,153,222,535,951,152,328,930,945,269,276,972,838,
504,791,500,982,251,665,086,424,811,877,287,848,069,735,211,284,681,871,407,
323,625,152,202,643,837,945,256,467,383,195,622,171,572,046,533,395,896,862,
097,385,672,102,651,857,590,519,403,698,971,303,286,951,019,210,037,949,311,
245,386,809,481,638,504,545,952,887,119,905,873,126,418,055,436,578,055,486,
123,602,428,961,162,122,686,600,096,389,001,754,091,515,438,916,902,284,569,
454,343,590,339,937,575,353,559,868,097,913,647,989,225,816,038,405,310,245,
353,740,015,107,141,631,005,279,923,950,071,930,628,716,326,862,370,488,920,
989,635,480,588,386,265,022,287,667,621,762,393,484,754,096,613,602,578,823,
287,757,076,967,794,581,316,267,032,306,786,218,675,833,743,113,853,110,930,
646,873,038,028,683,875,391,263,200,557,761,484,198,988,977,114,203,103,023,
643,848,451,836,431,453,586,528,483,976,756,586,508,415,397,759,478,924,286,
446,981,058,229,851,052,772,913,487,949,518,128,848,774,480,717,803,606,858,
524,474,212,225,095,034,752,049,674,951,555,138,227,330,087,062,731,940,172,
754,242,500,585,221,040,753,864,015,445,870,025,189,944,984,424,811,335,806,
907,289,729,773,243,820,007,063,205,422,927,774,964,076,681,187,170,017,576,
639,299,404,510,400,288,155,873,925,674,164,937,353,179,502,123,149,569,008,
682,588,794,195,084,557,282,428,435,514,095,565,260,040,516,438,632,737,263,
254,544,550,143,275,300,013,536,681,447,506,211,153,693,719,421,359,864,881,
038,246,644,945,222,156,552,533,520,410,497,320,795,047,744,821,270,012,708,
675,155,232,494,788,110,119,877,421,341,980,018,873,623,959,155,521,311,656,
558,260,521,406,945,773,549,260,004,124,267,447,655,895,918,821,345,409,287,
984,014,654,758,369,681,280,776,828,629,759,448,234,241,260,374,845,388,085,
360,893,438,924,677,440,179,006,795,923,973,548,389,321,472,272,338,413,506,
126,107,534,580,498,348,585,295,134,169,320,201,312,744,529,290,180,954,281,
540,435,319,297,112,729,459,645,617,788,528,316,139,840,373,101,203,027,417,
816,486,718,729,349,386,752,506,601,614,301,660,490,446,568,590,567,303,593,
867,096,736,359,903,755,587,350,472,393,131,174,381,096,038,894,677,593,108,
724,623,769,819,310,834,018,670,506,504,129,187,785,327,923,211,051,392,584,
776,949,021,518,070,041,793,977,449,173,871,476,405,165,928,993,416,050,934,
589,381,960,949,314,793,994,219,910,789,373,544,040,274,727,296,564,685,683,
712,793,490,555,600,078,502,983,878,592,627,585,460,536,283,330,508,221,734,
734,980,286,135,394,776,875,785,082,859,166,164,116,420,998,884,849,053,655,
292,449,459,890,707,298,409,432,347,998,805,358,497,717,755,770,177,434,844,
283,268,213,257,047,227,183,062,553,479,260,167,165,318,073,676,721,267,061,
255,476,571,387,476,668,744,824,396,789,425,427,390,272,662,001,706,020,991,
956,894,057,950,718,840,472,913,311,021,723,065,015,159,222,860,942,234,149,
177,662,010,274,222,919,999,017,686,846,307,259,057,329,460,290,158,852,899,
032,719,623,163,638,136,899,754,149,336,488,998,865,776,518,229,190,017,182,
154,680,691,465,056,291,393,922,685,449,779,790,105,400,429,463,153,050,885,
498,899,281,938,527,202,604,621,328,062,993,489,381,234,393,449,025,323,382,
022,856,442,186,571,494,743,885,112,157,611,977,588,127,209,678,110,437,956,
348,269,688,289,982,856,002,427,359,017,779,196,958,516,800,324,215,598,838,
882,422,592,623,548,446,601,998,356,428,866,016,040,902,130,537,448,003,996,
372,906,921,977,164,840,587,868,765,794,935,732,678,294,913,912,718,057,145,
016,924,087,000,387,668,015,534,615,079,330,067,225,229,963,693,819,543,113,
202,499,917,648,256,367,033,454,175,767,884,284,066,898,448,717,382,743,348,
631,853,628,363,229,194,746,238,743,293,208,984,916,703,760,367,954,019,279,
183,256,206,386,543,454,137,254,913,377,487,610,888,913,608,270,814,921,283,
120,381,151,390,130,172,487,920,971,406,552,155,391,584,292,689,543,956,008,
593,840,410,026,903,467,916,334,961,018,424,376,504,075,793,357,655,051,552,
238,444,557,865,170,235,883,865,145,999,093,911,515,325,680,053,314,024,708,
561,146,497,117,068,304,979,177,382,431,182,024,803,743,930,725,551,055,299,
076,880,343,109,413,718,831,468,722,657,897,787,266,011,609,217,935,876,291,
248,099,273,324,772,489,347,906,615,326,498,757,955,476,492,570,445,141,687,
471,829,149,826,490,028,077,214,862,097,675,788,787,753,999,725,142,456,244,
571,935,455,051,616,028,387,271,048,475,527,144,665,255,707,236,376,322,279,
994,027,385,361,238,296,022,075,755,496,027,038,264,725,742,364,967,480,590,
798,202,941,912,864,221,105,066,315,078,314,468,154,215,371,349,450,527,932,
561,228,611,845,353,062,178,064,980,327,885,536,486,415,482,734,381,733,889,
309,104,047,406,550,086,756,893,813,133,968,310,518,184,493,684,598,503,083,
237,100,190,128,535,799,590,754,084,947,529,933,371,482,091,410,016,388,989,
981,550,265,828,490,339,887,797,911,583,247,642,999,105,166,318,460,240,601,
741,952,353,654,052,435,999,881,986,216,662,729,125,614,297,977,994,229,417,
226,178,595,563,824,661,608,353,313,566,865,911,061,024,848,052,808,748,238,
860,621,284,359,987,267,113,073,517,552,106,347,550,146,243,141,978,344,406,
412,810,354,711,022,481,839,888,983,631,735,713,152,232,505,215,823,561,178,
686,143,160,212,071,236,542,755,554,641,879,065,768,724,190,132,840,858,023,
362,370,464,377,943,591,889,953,298,009,149,911,492,814,466,977,612,523,804,
186,966,814,103,999,683,892,035,655,275,432,999,044,527,182,740,866,276,302,
226,841,357,536,687,980,999,727,380,047,421,250,530,432,116,241,391,498,654,
017,875,391,554,115,951,760,216,570,400,773,061,187,913,915,478,921,019,469,
284,118,107,111,046,975,260,170,316,262,600,081,363,380,316,439,519,752,498,
826,056,200,788,788,420,328,723,857,716,579,718,279,969,851,453,491,284,999,
348,939,174,880,980,705,067,570,802,330,640,259,627,067,932,345,350,313,992,
819,154,698,321,974,373,325,578,069,011,905,667,370,159,701,757,634,047,088,
435,169,919,269,227,418,635,832,972,316,470,699,984,069,953,279,745,583,122,
737,765,909,941,560,221,451,312,582,979,241,396,296,895,293,552,798,267,964,
435,157,427,403,443,651,603,719,953,592,192,424,610,274,584,877,886,090,670,
114,331,713,681,664,381,938,018,181,301,998,598,674,529,697,603,026,011,136,
040,200,341,000,274,363,011,768,260,301,869,340,094,915,141,974,618,694,318,
779,341,778,159,466,295,532,854,524,531,164,634,180,796,399,906,558,215,156,
992,407,386,157,108,674,173,681,684,977,100,506,629,535,588,027,277,237,508,
665,283,861,694,184,175,466,692,185,493,115,111,422,753,811,085,454,915,432,
081,502,673,161,446,903,424,870,742,861,276,718,990,422,718,194,573,209,282,
297,921,855,408,026,113,331,987,822,335,185,767,614,988,536,140,580,093,084,
856,222,797,498,684,990,545,618,727,208,517,222,998,119,900,179,478,415,129,
038,766,297,400,806,203,715,748,633,496,721,244,796,801,127,617,408,978,275,
904,753,078,044,059,084,451,158,808,854,196,111,729,357,572,180,751,546,381,
529,608,220,575,394,602,063,732,656,856,169,203,308,202,282,741,966,894,206,
600,480,667,355,634,579,805,005,509,492,015,072,651,934,097,846,012,311,439,
273,210,787,961,505,658,730,454,206,530,471,871,842,834,315,013,939,554,379,
778,666,413,112,972,546,879,220,299,653,477,364,336,405,870,847,381,572,888,
669,645,713,991,022,177,106,807,994,784,252,292,614,175,245,116,446,583,189,
444,784,297,700,673,271,230,735,906,921,697,563,932,434,871,152,786,491,267,
405,402,784,530,402,673,427,198,377,912,994,284,481,893,203,076,508,372,192,
333,759,938,373,188,036,911,843,852,904,387,588,534,974,664,338,252,153,029,
285,121,879,678,817,745,859,994,450,918,628,259,346,597,196,701,913,923,814,
198,775,964,917,294,938,778,762,429,246,687,023,225,192,544,220,002,943,598,
771,280,232,935,897,106,231,888,393,903,504,627,113,456,711,659,423,583,618,
782,597,549,441,812,866,914,881,227,035,202,510,065,721,358,728,750,009,466,
347,904,606,707,980,155,764,908,751,750,679,778,311,896,283,692,285,590,855,
482,862,514,084,357,378,425,499,041,508,001,814,456,865,260,848,112,551,696,
030,852,874,110,438,781,928,067,311,427,390,993,558,929,675,408,511,557,927,
474,034,286,778,072,517,225,677,246,593,493,524,799,096,376,373,335,108,951,
585,512,639,862,809,421,820,153,801,080,978,578,029,967,868,465,571,533,053,
435,576,951,284,142,079,470,047,619,643,592,462,756,545,801,964,312,351,606,
733,874,103,555,344,820,562,027,592,194,110,586,976,097,324,996,050,999,860,
333,957,922,806,153,059,095,106,454,567,720,007,229,101,780,644,226,530,710,
696,210,760,405,237,463,060,005,678,392,139,407,485,930,388,092,248,487,571,
596,533,825,191,472,618,402,773,248,752,714,953,003,418,291,299,504,107,618,
762,297,214,238,532,663,692,757,758,903,506,824,407,538,711,267,059,662,526,
596,670,385,780,299,531,579,475,083,405,160,462,063,445,623,901,090,395,859,
506,612,771,348,816,207,041,381,881,977,640,790,797,538,128,862,002,775,282,
447,696,993,110,081,980,181,264,414,589,675,286,836,038,896,597,382,034,445,
966,027,409,070,760,021,764,000,548,290,403,436,317,818,392,707,667,194,785,
938,915,608,171,259,537,349,036,063,021,073,681,376,189,439,154,150,358,221,
841,982,572,338,644,400,918,747,720,987,083,108,917,607,676,224,640,944,436,
879,911,018,387,650,504,483,119,194,441,457,310,136,467,078,407,346,877,337,
247,722,969,613,243,707,476,235,628,435,483,872,385,027,024,955,214,505,812,
750,093,903,398,318,701,708,283,087,464,865,055,178,130,875,707,905,283,400,
503,333,838,386,448,069,863,677,239,705,096,766,028,696,330,643,341,148,616,
220,647,648,332,554,977,551,772,573,411,772,574,228,208,145,549,198,216,469,
353,116,512,906,216,658,980,266,533,180,355,226,768,517,680,192,442,909,667,
245,905,587,529,594,003,045,945,464,892,294,929,677,359,586,703,892,274,321,
220,626,010,214,966,382,953,855,167,365,335,781,311,377,246,162,315,010,575,
783,939,303,437,787,799,985,911,979,802,594,978,115,252,115,358,931,043,628,
003,535,556,023,363,235,752,369,342,501,712,640,025,526,503,347,945,752,366,
004,242,949,620,351,061,121,892,927,479,115,457,049,754,082,337,986,824,328,
978,367,882,377,494,507,774,186,072,893,405,476,377,678,000,517,290,474,950,
575,968,278,818,092,897,854,263,463,208,755,323,675,202,703,834,059,232,561,
263,805,526,064,792,120,693,075,556,844,951,692,000,088,125,566,812,647,419,
118,680,997,074,972,498,445,715,341,396,079,794,065,022,272,568,185,346,161,
295,283,759,833,013,187,519,631,820,815,054,579,638,372,798,949,497,493,336,
231,801,276,276,316,814,753,540,181,561,571,970,418,330,204,094,306,268,277,
664,777,039,361,419,387,195,565,618,736,089,410,970,036,148,642,714,067,059,
509,413,952,813,323,017,779,590,622,011,077,943,207,292,606,450,759,500,393,
486,807,618,153,793,260,318,697,823,790,148,077,219,815,994,005,977,524,729,
660,474,100,449,575,437,195,727,677,476,684,686,853,951,554,526,817,417,510,
815,433,111,258,112,077,092,901,339,201,333,077,102,074,807,306,334,868,096,
268,978,185,651,441,595,465,830,071,268,639,060,892,382,746,226,038,654,691,
105,542,989,111,101,558,480,167,798,001,633,149,613,480,015,704,262,533,382,
566,432,762,167,583,873,185,327,903,790,605,434,138,173,709,455,903,424,683,
242,647,730,359,135,357,313,592,443,232,749,504,753,848,493,588,411,822,512,
977,584,574,684,596,056,362,081,871,083,345,358,268,453,202,948,657,392,036,
471,881,633,628,993,302,149,512,951,997,127,815,471,488,457,572,758,330,786,
202,200,378,509,790,887,785,765,961,032,855,672,092,542,277,920,561,013,663,
930,282,483,232,242,324,161,914,467,599,394,931,834,312,796,308,180,292,721,
576,227,939,019,670,162,034,049,771,650,236,677,788,090,397,046,935,224,012,
777,431,869,916,598,126,403,307,623,807,416,073,546,576,870,325,879,928,338,
782,485,488,587,910,274,621,528,308,115,631,937,279,458,733,707,527,234,771,
787,181,161,065,711,045,342,532,165,531,124,367,723,453,932,829,449,552,100,
006,545,495,566,903,650,037,645,881,490,552,818,987,108,629,385,545,362,474,
576,329,462,091,983,178,430,294,688,014,443,297,729,622,156,636,065,134,193,
844,796,411,984,940,106,964,436,988,285,417,877,392,959,908,306,960,110,968,
995,421,557,180,936,588,033,002,451,507,493,312,894,766,283,783,697,275,922,
965,428,711,066,069,828,040,302,049,103,351,073,703,884,713,904,778,114,195,
938,839,948,940,360,070,307,079,503,114,826,497,999,736,879,131,440,434,611,
508,497,165,929,333,167,927,849,272,061,160,172,864,562,671,734,399,943,560,
781,634,455,576,586,137,014,915,273,709,380,972,453,794,829,202,636,491,864,
695,444,222,508,890,189,244,176,146,482,729,043,125,329,150,244,347,584,170,
516,277,604,265,464,289,932,423,840,379,004,184,938,913,105,636,667,902,080,
640,736,002,094,975,509,410,800,538,948,038,792,666,511,123,160,072,935,200,
445,048,476,838,560,323,539,403,750,557,449,863,554,043,490,844,412,137,030,
047,300,450,080,350,074,699,428,507,027,671,400,307,370,639,216,976,488,346,
371,382,499,600,894,523,564,147,315,955,445,294,978,304,115,826,366,188,564,
040,634,636,950,759,546,619,975,211,824,007,614,484,459,790,477,071,502,916,
774,715,997,495,557,470,822,880,678,322,341,152,607,564,864,359,578,177,393,
656,845,802,551,282,912,302,395,229,393,158,029,977,832,109,145,031,972,739,
845,550,404,495,744,071,459,967,089,259,525,944,872,651,658,758,174,628,391,
206,347,539,976,474,080,737,931,401,434,393,345,918,328,123,021,361,669,267,
706,773,637,943,539,817,469,602,235,113,804,998,778,847,108,205,774,433,549,
669,782,307,116,518,953,893,282,671,280,818,022,262,271,519,835,188,832,189,
440,993,042,517,096,714,881,873,411,347,133,589,747,774,138,267,852,602,155,
511,150,028,181,802,561,735,797,429,279,011,344,677,679,632,948,158,954,815,
297,654,001,785,939,961,652,897,037,014,831,052,017,420,289,342,790,038,729,
387,211,764,887,198,042,762,152,768,485,523,212,836,822,343,964,565,108,365,
285,377,497,898,874,871,296,286,741,680,129,771,312,759,737,665,105,872,744,
640,732,511,606,388,033,262,280,795,235,430,984,095,676,840,502,659,544,359,
939,743,682,526,421,848,440,986,444,021,760,845,402,248,834,984,870,985,532,
983,335,202,224,527,118,556,931,056,638,678,419,770,069,188,718,872,285,786,
396,846,022,446,775,475,609,616,145,870,085,950,537,726,488,164,096,809,171,
749,587,194,606,271,664,657,797,512,197,373,674,371,145,093,215,095,686,549,
969,766,289,358,217,972,943,596,384,083,596,883,843,149,230,565,872,008,590,
270,282,435,224,088,943,754,958,074,487,112,211,017,545,495,068,034,585,405,
536,243,710,166,980,031,542,901,822,192,494,608,771,704,906,223,484,761,012,
427,022,538,779,196,124,520,313,897,921,604,135,898,837,796,390,794,221,372,
039,544,556,416,163,038,489,246,461,960,331,203,704,636,040,362,306,350,460,
454,028,812,725,228,341,820,739,447,161,563,017,847,127,655,639,848,837,179,
406,036,161,725,854,060,555,739,370,719,350,166,756,282,006,671,083,178,413,
683,080,424,821,077,884,566,304,214,242,172,258,381,573,089,977,813,039,761,
781,081,699,586,043,735,835,391,125,772,620,260,809,201,860,038,565,971,766,
708,239,320,903,356,385,329,885,934,161,688,357,944,791,514,708,737,048,794,
856,884,879,722,853,615,210,997,011,107,822,414,102,155,281,506,226,588,442,
581,352,311,076,296,900,617,359,145,519,005,916,343,678,676,515,521,296,086,
824,975,017,362,822,174,759,433,769,693,950,196,781,978,283,389,445,670,536,
930,154,477,602,272,879,432,070,628,450,737,953,819,240,272,126,759,764,806,
468,133,226,204,122,270,812,309,598,998,485,612,004,964,393,564,379,969,968,
135,895,417,740,180,326,430,862,397,300,129,436,377,154,201,971,763,621,040,
442,063,840,303,881,634,249,671,361,382,773,479,705,375,598,873,750,875,940,
035,633,818,541,359,619,935,278,707,513,481,282,628,386,813,370,083,569,650,
193,541,545,457,160,740,117,278,974,836,718,069,786,904,815,669,875,347,039,
535,847,168,306,640,155,260,715,040,376,128,508,989,234,258,021,224,032,056,
841,651,508,509,833,241,214,073,675,675,423,625,478,467,586,102,640,294,238,
645,400,662,614,588,725,301,767,008,209,197,400,507,865,126,656,762,859,473,
423,092,200,849,511,661,628,850,176,399,453,968,687,791,795,922,056,443,507,
505,584,172,769,394,312,155,431,737,999,741,971,467,748,554,811,450,667,228,
009,615,542,381,412,034,860,086,445,930,034,748,690,423,866,087,323,260,544,
578,844,308,683,882,781,846,006,994,510,029,948,938,324,657,313,205,696,578,
837,736,067,512,419,457,636,010,281,153,302,172,948,857,367,883,927,755,477,
033,152,482,719,308,323,193,067,532,565,690,857,945,628,818,547,684,734,151,
808,322,945,039,693,193,882,712,207,884,272,861,632,208,249,203,117,426,112,
393,392,394,695,813,256,267,144,760,433,665,403,364,831,231,033,712,291,321,
190,284,928,217,748,257,988,926,360,082,652,458,109,681,544,200,331,955,025,
028,799,373,905,066,634,614,666,633,530,746,103,482,830,733,809,191,663,705,
071,736,440,296,461,368,336,035,364,100,562,409,991,487,958,299,000,100,372,
241,221,578,372,538,317,736,178,791,625,627,345,049,807,827,542,559,997,219,
458,437,388,505,884,582,128,989,166,136,937,799,964,619,754,176,430,499,614,
211,115,931,642,696,552,470,723,097,439,981,468,883,001,583,142,391,184,153,
093,768,891,241,142,421,332,743,618,467,560,234,571,015,901,596,609,317,091,
301,008,203,400,271,282,058,212,322,137,097,700,175,682,355,106,030,902,412,
032,288,210,642,293,917,880,092,083,056,108,079,103,986,196,754,871,533,989,
653,518,140,476,777,626,113,880,293,963,124,025,040,081,458,966,163,420,445,
914,056,504,588,498,780,726,402,845,217,588,490,914,125,999,594,109,690,265,
537,112,488,111,664,200,523,959,101,590,572,553,148,427,949,382,448,186,274,
170,482,191,176,111,616,735,792,724,882,958,410,699,334,801,747,721,846,839,
624,138,335,725,697,324,577,060,155,438,628,292,137,946,215,059,412,527,637,
718,822,815,848,968,375,025,350,476,093,613,745,314,033,535,497,364,178,984,
201,091,371,402,624,312,691,330,338,606,932,770,297,133,912,011,568,010,707,
570,569,327,929,338,841,655,211,143,051,285,730,145,187,743,024,637,420,947,
508,635,786,180,308,221,135,880,015,298,758,326,905,374,230,343,926,516,457,
289,597,626,439,519,796,246,866,043,421,621,578,937,185,564,721,328,098,103,
759,060,210,318,944,510,125,351,987,784,150,927,572,136,442,997,013,454,878,
116,821,265,561,156,590,786,739,106,175,433,870,141,810,069,115,678,476,556,
195,741,985,315,288,356,230,347,032,668,924,235,467,726,349,301,583,672,547,
952,904,222,042,007,007,990,978,409,819,036,467,350,360,630,651,292,249,171,
246,914,434,617,403,260,659,714,504,962,016,211,436,477,394,580,895,638,217,
719,384,311,392,998,294,964,712,121,617,017,097,681,568,547,662,217,573,643,
290,458,443,437,811,050,906,521,920,279,770,885,591,594,432,859,607,600,442,
533,839,828,308,998,953,773,949,100,877,266,742,890,862,186,329,211,876,499,
371,777,671,213,092,595,257,718,610,620,336,668,855,773,015,742,922,054,510,
929,545,900,608,053,569,015,790,706,204,968,348,933,357,718,121,074,567,546,
138,206,051,272,380,325,983,500,839,959,369,762,364,556,679,050,224,926,170,
841,065,800,430,322,174,051,720,701,202,031,486,938,179,249,517,563,337,233,
111,715,465,330,876,548,664,094,309,517,257,979,078,671,160,633,917,906,690,
638,254,220,585,474,312,103,684,313,967,643,382,790,895,060,495,345,258,517,
919,990,728,884,196,663,527,191,182,380,636,624,703,225,790,161,777,186,346,
416,860,843,565,474,998,346,980,335,656,640,794,492,950,249,191,761,158,204,
517,410,750,019,032,373,755,585,503,843,930,457,425,881,335,872,139,919,567,
964,092,465,937,760,749,185,168,763,857,952,456,055,353,554,442,155,032,736,
602,611,982,359,371,267,539,245,092,795,335,928,844,322,314,529,666,451,647,
919,703,937,162,256,839,083,433,226,766,649,637,358,121,542,301,517,739,530,
829,516,111,845,888,536,667,973,630,575,434,931,482,491,272,302,741,063,881,
049,608,957,016,211,457,594,394,502,271,909,791,566,093,661,457,213,183,180,
875,950,620,774,303,643,445,181,479,556,977,740,874,693,708,071,317,182,446,
429,965,925,931,007,255,848,885,290,432,365,664,582,557,568,218,239,750,947,
511,362,742,491,034,765,968,179,059,867,686,223,069,993,070,449,369,029,351,
016,710,456,860,212,195,984,247,392,904,007,082,010,610,911,281,429,150,985,
705,879,621,925,989,010,710,968,595,265,498,594,255,157,857,147,851,934,252,
876,650,612,050,521,084,306,614,563,553,070,442,211,646,149,586,350,697,122,
599,683,724,927,005,042,211,016,379,987,776,100,307,288,158,224,470,718,140,
084,746,844,745,145,219,242,436,088,822,091,403,585,307,962,552,715,883,375,
065,194,558,048,378,032,461,612,352,524,623,995,450,712,322,310,360,659,634,
570,228,890,267,932,093,654,911,482,925,591,346,340,536,829,904,109,019,311,
436,008,313,047,288,329,079,131,871,757,126,720,633,405,878,337,355,130,454,
407,480,256,625,662,674,083,488,800,026,581,928,855,933,843,162,094,307,317,
083,570,427,553,700,515,794,548,059,106,203,407,407,531,193,431,389,925,310,
218,757,658,542,180,184,064,319,401,826,541,904,125,636,822,997,677,347,199,
106,487,449,825,677,445,733,291,523,560,293,139,740,587,729,753,196,225,465,
357,015,471,208,945,857,903,212,211,614,716,765,141,399,743,970,603,997,436,
828,913,572,365,486,517,519,749,377,105,239,978,824,765,895,500,402,917,439,
319,800,111,111,142,724,931,717,558,918,748,863,189,889,456,611,515,881,273,
429,546,978,543,394,189,219,501,368,884,803,543,757,509,448,814,175,001,924,
652,607,369,593,095,050,785,526,861,678,173,019,727,678,002,009,217,314,843,
998,338,601,440,239,243,571,029,396,387,937,668,262,868,700,219,512,627,784,
961,496,961,765,317,287,653,841,820,424,875,312,501,108,053,578,924,593,153,
482,657,930,501,519,203,010,116,568,705,554,024,050,378,300,158,433,117,070,
149,061,069,981,499,490,671,363,131,463,726,965,915,604,445,898,364,400,628,
707,696,775,255,149,665,007,321,481,892,787,538,749,910,862,985,828,629,838,
813,176,115,858,733,451,250,572,227,060,619,315,910,542,894,138,717,280,673,
511,914,161,036,633,995,887,245,607,344,360,793,441,298,287,710,160,642,066,
842,837,600,027,978,439,264,207,184,796,878,893,985,893,585,961,203,980,722,
748,699,945,862,560,216,032,469,374,615,780,517,225,700,746,758,002,251,822,
776,887,555,458,534,572,875,562,515,623,028,575,634,656,559,099,769,044,549,
856,624,512,404,225,392,154,275,057,199,908,892,716,424,867,701,593,562,451,
304,169,341,443,855,294,155,582,594,272,002,842,486,802,624,541,755,251,875,
629,531,166,693,268,933,546,676,720,868,202,531,813,291,286,457,890,051,519,
537,963,334,466,094,021,943,923,961,740,847,522,605,089,261,197,804,378,584,
573,938,674,074,606,608,064,164,712,637,588,396,696,070,695,036,559,362,230,
403,714,902,048,242,409,623,769,895,120,819,036,597,060,216,554,961,323,958,
274,568,459,776,055,813,612,782,077,432,386,524,855,946,321,530,788,603,496,
280,561,055,039,911,352,272,792,163,191,873,421,660,514,164,768,779,094,118,
596,516,747,151,156,212,014,157,341,967,270,874,624,321,882,794,492,578,544,
959,732,568,776,612,658,185,891,065,927,585,628,641,106,979,378,146,389,437,
195,369,166,397,698,170,741,148,140,860,574,682,347,159,120,928,009,185,065,
067,721,456,952,595,271,964,323,520,005,643,985,531,588,979,252,640,695,095,
299,910,073,279,935,662,165,414,880,408,633,655,527,575,058,569,326,168,506,
246,197,719,053,208,710,244,353,331,573,615,084,678,608,267,088,148,312,817,
384,360,228,724,758,130,007,699,963,079,297,172,927,715,411,403,258,679,103,
695,762,558,448,503,312,643,678,263,895,133,343,785,057,810,502,664,447,931,
302,796,977,980,990,266,024,639,870,618,514,829,733,513,064,188,189,868,905,
976,495,282,529,242,308,417,177,309,817,870,629,837,643,400,077,708,207,888,
002,698,819,162,130,056,166,096,734,808,832,402,087,080,380,800,828,719,353,
148,223,068,603,796,565,083,073,230,861,892,940,314,599,664,404,474,444,202,
542,155,875,494,219,004,315,264,130,364,862,410,949,998,875,628,584,164,955,
741,192,519,226,059,823,415,614,671,508,173,509,854,555,583,471,560,212,138,
511,381,215,532,915,719,517,374,264,676,074,674,095,831,440,976,347,971,250,
325,847,479,521,529,895,284,411,681,523,095,288,712,701,807,147,432,610,730,
710,194,679,903,216,302,574,263,319,646,117,902,933,703,932,362,580,746,629,
936,036,694,476,886,676,440,678,978,241,420,624,599,274,007,647,547,620,802,
835,784,100,922,483,484,745,610,812,705,363,646,238,839,259,804,075,065,408,
733,049,250,321,761,655,098,911,031,227,546,682,852,543,356,901,387,666,267,
055,424,289,791,219,636,178,004,425,175,932,901,416,083,930,214,932,435,218,
301,672,288,014,456,514,529,492,105,437,264,863,376,280,476,499,971,045,833,
680,246,105,852,238,379,984,620,363,656,531,396,378,879,789,403,170,819,516,
685,600,723,404,623,526,930,899,700,772,891,914,626,103,371,160,253,439,595,
690,370,268,772,046,105,237,381,779,146,714,299,019,061,250,711,384,022,932,
933,803,886,663,927,757,943,451,919,246,306,574,876,479,014,893,688,168,715,
906,781,779,542,591,656,636,998,365,066,131,298,074,745,914,246,411,536,990,
855,189,312,461,179,410,127,828,628,350,275,772,174,879,979,833,044,738,269,
273,116,192,720,382,217,327,053,683,732,286,386,671,141,687,345,096,856,517,
930,977,281,497,573,618,246,134,336,643,575,329,317,970,242,344,188,640,158,
124,911,392,462,106,045,019,995,322,758,615,374,858,529,898,261,708,087,845,
589,986,712,641,170,001,535,024,778,052,441,755,083,400,273,324,131,282,648,
128,669,408,331,271,198,951,033,556,769,186,198,964,752,845,462,225,781,617,
325,803,400,996,157,332,701,957,370,522,943,651,015,701,851,381,731,017,482,
569,767,269,665,143,700,511,861,203,464,064,909,134,080,578,076,413,085,561,
532,175,159,718,592,240,326,079,916,415,957,411,934,602,861,496,597,717,883,
664,458,594,097,344,472,384,170,091,316,161,564,635,121,421,411,580,752,457,
001,545,410,637,877,235,149,038,854,182,178,478,968,452,632,392,815,723,586,
941,321,110,649,867,376,685,975,323,606,363,429,393,895,199,787,735,099,178,
416,196,709,636,238,054,374,818,238,831,874,085,871,745,462,291,188,422,225,
422,443,953,562,417,842,704,391,437,695,874,727,969,765,271,818,461,287,216,
274,958,679,230,241,492,112,812,761,083,529,621,638,915,910,641,677,485,455,
078,430,549,643,959,939,546,730,371,577,069,893,980,922,477,965,189,508,275,
929,179,732,809,529,525,072,355,261,448,546,649,365,976,805,402,356,754,070,
243,601,945,601,600,037,520,955,749,795,446,282,768,454,249,103,270,845,384,
397,934,434,370,005,030,557,661,686,276,576,533,387,067,427,813,224,900,133,
542,361,393,909,717,542,705,729,869,960,914,607,010,459,039,993,428,978,917,
504,853,961,709,617,272,281,030,545,869,179,665,728,968,966,947,868,309,508,
959,579,001,233,801,764,506,184,787,326,570,377,239,011,323,500,154,988,904,
560,686,638,754,681,753,354,061,662,366,034,767,285,011,939,554,699,815,142,
964,936,448,685,767,429,646,085,394,299,138,622,817,191,882,747,704,309,015,
116,757,262,637,591,584,814,881,604,105,578,471,018,423,805,106,694,138,510,
135,774,588,349,303,923,400,250,038,283,354,941,311,563,657,411,623,962,474,
530,835,305,341,978,983,369,221,770,386,657,748,660,049,990,118,133,027,028,
975,447,539,468,115,771,179,257,770,712,261,814,572,641,684,159,423,606,915,
315,920,896,413,238,585,116,703,007,116,639,957,893,815,125,871,467,881,154,
129,816,021,552,406,639,362,901,030,929,879,468,732,460,953,982,826,065,084,
762,215,049,402,491,715,388,055,858,088,551,542,744,238,180,108,563,619,837,
504,793,802,697,432,728,438,253,095,383,018,668,410,707,514,399,862,271,843,
046,682,016,306,879,125,254,237,064,399,187,167,025,100,087,349,430,914,873,
080,071,904,258,291,227,288,458,665,796,754,424,932,313,469,465,009,458,462,
360,151,000,683,005,978,086,807,331,928,494,652,067,833,119,768,741,936,113,
785,565,541,706,091,488,977,647,813,126,810,604,091,161,961,982,429,089,883,
027,644,357,776,317,281,043,006,345,233,461,679,625,472,517,915,148,394,069,
929,903,117,561,887,377,630,441,549,950,729,252,203,426,452,211,414,875,522,
320,373,327,813,091,040,309,028,002,998,898,831,210,183,725,133,487,966,458,
402,297,639,485,450,979,011,777,223,172,621,945,042,584,089,288,574,212,104,
321,825,136,800,104,344,005,999,273,406,028,008,750,436,413,393,558,284,317,
358,540,250,474,805,243,534,270,419,419,714,669,457,458,694,806,066,635,141,
967,898,651,543,875,612,794,498,389,300,045,641,529,648,516,055,932,242,959,
972,188,958,272,980,017,587,199,785,542,887,279,973,969,975,245,780,764,183,
211,260,382,394,188,173,897,964,471,842,969,745,637,412,023,110,406,317,333,
758,363,755,840,579,837,847,184,946,947,077,690,687,097,038,178,557,805,221,
074,346,008,139,311,688,637,480,462,502,280,031,025,553,429,698,795,741,731,
458,434,525,930,584,574,852,036,186,402,783,901,692,459,557,399,552,877,226,
574,376,897,883,311,435,330,067,648,977,432,749,377,133,015,956,760,411,883,
823,832,609,515,810,902,189,429,085,742,252,153,894,638,670,109,077,743,023,
808,206,939,387,845,185,262,437,795,802,348,421,328,371,090,692,112,801,516,
488,690,195,870,267,646,048,691,954,549,778,123,389,845,712,763,714,734,175,
163,365,186,170,523,197,539,983,429,126,028,814,317,013,801,356,720,398,649,
798,400,188,383,753,538,140,283,364,033,821,624,808,761,066,447,961,456,596,
634,450,568,252,975,794,883,825,509,640,495,227,664,918,281,464,143,622,623,
049,566,872,340,233,222,705,979,035,966,750,605,931,346,693,433,367,954,661,
766,482,722,630,902,258,226,625,755,689,757,205,571,259,561,030,957,572,454,
935,385,607,818,386,677,652,116,401,185,859,573,771,917,411,415,113,067,196,
281,269,090,522,503,764,206,902,036,730,431,974,683,426,928,488,873,919,528,
161,942,423,243,979,117,209,264,845,976,708,748,406,670,804,914,353,116,706,
789,130,294,789,369,886,203,785,326,626,883,037,165,374,808,394,299,059,696,
766,762,652,675,094,997,762,765,500,849,703,182,524,721,090,579,222,317,952,
130,472,571,062,003,142,791,259,529,610,093,208,683,788,892,117,953,370,594,
577,351,777,939,236,725,604,605,584,835,445,606,027,924,211,073,392,796,546,
335,266,095,445,293,192,793,336,984,156,808,430,317,983,410,369,103,994,430,
471,922,861,793,212,742,268,649,598,544,565,750,047,157,698,151,057,501,754,
496,296,195,628,217,496,658,019,363,045,171,406,034,078,081,151,934,304,962,
383,097,825,287,168,712,281,338,045,616,289,930,301,778,021,975,718,477,135,
717,185,192,441,424,591,016,401,678,388,702,796,385,124,612,733,849,976,369,
238,714,606,530,658,954,725,141,257,493,032,007,472,530,712,474,188,460,894,
682,740,109,918,253,295,665,524,196,512,680,955,737,488,206,400,520,393,735,
662,930,962,707,899,151,947,680,428,971,644,768,775,073,153,886,957,607,324,
974,613,555,965,857,603,275,934,254,420,801,865,002,950,027,896,664,598,904,
327,125,128,206,042,697,349,917,286,425,385,039,741,999,061,198,451,117,069,
910,795,345,670,766,523,121,878,951,077,848,130,175,834,932,122,038,086,696,
309,578,655,170,607,779,767,670,694,542,270,504,664,945,218,689,615,093,156,
731,586,933,980,767,081,970,609,039,839,945,556,109,347,428,680,264,516,586,
403,366,165,984,171,393,269,099,752,111,642,361,004,463,304,152,058,258,650,
696,735,715,408,077,176,599,056,609,574,397,760,160,500,071,121,786,269,724,
658,404,744,226,631,714,871,265,273,687,577,085,664,961,152,372,681,501,148,
061,051,860,143,832,081,867,632,432,391,236,484,582,383,330,732,753,152,381,
703,840,314,212,312,536,797,212,550,536,359,271,125,175,356,318,950,522,471,
743,706,315,798,319,333,456,596,476,157,323,528,813,175,981,371,160,725,586,
379,824,997,781,316,658,307,031,006,796,174,321,835,184,500,460,519,567,817,
260,818,569,245,616,666,745,505,175,152,999,659,891,251,154,957,072,782,861,
776,895,850,536,232,002,847,289,062,962,696,329,182,426,091,818,740,317,548,
735,147,798,623,765,670,342,545,026,070,269,201,224,663,779,437,389,776,857,
412,712,193,183,006,055,271,297,265,158,532,568,101,492,336,565,272,399,225,
688,713,091,695,138,905,516,839,481,770,550,441,742,393,123,406,777,684,968,
221,185,964,768,587,591,610,092,887,690,148,315,817,156,339,343,793,044,372,
937,112,048,560,330,497,832,366,441,877,643,045,038,052,100,707,267,722,154,
601,096,408,729,561,445,156,499,444,838,989,918,597,909,915,271,597,754,624,
164,304,740,922,347,200,933,906,770,267,890,561,032,599,227,050,152,863,978,
125,331,577,372,085,158,387,869,818,287,147,152,796,069,375,168,517,151,017,
773,934,535,213,962,392,503,429,136,103,161,304,545,043,491,865,437,579,939,
665,459,120,133,643,955,175,716,394,616,711,445,675,672,413,595,519,759,094,
572,745,984,111,685,328,675,375,352,941,236,085,874,810,562,348,343,921,960,
468,261,104,163,972,312,550,890,402,754,725,114,175,543,819,105,875,659,017,
582,808,683,624,672,748,284,575,016,701,618,145,652,719,873,336,175,947,795,
839,679,141,617,828,953,530,678,649,114,814,617,667,137,836,688,651,231,885,
282,598,461,230,629,946,364,510,197,013,060,244,517,436,123,943,725,792,307,
981,562,199,299,203,294,804,941,588,087,102,146,692,295,134,448,751,583,923,
388,702,118,181,213,162,854,632,447,231,364,229,576,263,499,712,182,736,650,
519,351,953,856,917,437,237,576,170,127,230,685,341,323,903,493,241,409,239,
223,706,405,050,037,880,461,907,753,397,024,176,560,260,213,464,944,756,446,
380,404,760,701,373,658,043,290,755,297,719,964,485,812,520,318,744,782,179,
128,123,916,235,904,569,416,717,369,659,703,767,759,423,084,966,391,638,451,
733,530,508,722,330,610,363,371,108,668,239,461,171,165,831,181,598,666,477,
606,389,726,467,141,395,063,012,251,385,053,653,851,421,442,325,426,821,646,
191,533,743,352,549,403,236,174,445,718,179,417,499,212,267,144,368,107,407,
178,112,469,822,379,072,351,142,108,375,898,565,445,020,829,418,951,642,318,
940,913,362,420,839,594,650,511,619,024,769,337,806,635,568,578,118,324,625,
992,278,009,580,120,882,482,460,799,947,676,668,477,053,449,858,161,259,521,
643,229,177,621,698,906,131,232,439,173,251,705,125,333,822,902,827,069,868,
920,866,758,370,845,783,990,301,515,456,993,746,902,581,309,572,225,379,924,
750,437,878,630,251,335,076,876,634,422,695,821,181,796,194,837,928,811,662,
243,188,385,962,671,143,666,167,709,453,338,955,502,282,670,744,611,401,194,
200,084,243,773,860,694,663,602,577,302,442,460,474,703,609,070,624,544,029,
515,792,444,140,420,340,140,748,277,613,554,593,875,563,038,042,508,459,712,
507,709,233,073,764,825,767,385,558,390,356,021,504,719,165,120,504,765,594,
349,451,700,632,855,434,457,686,843,197,232,178,753,415,508,589,787,811,771,
749,721,721,389,724,459,220,521,454,462,913,483,105,816,537,839,718,964,576,
242,747,422,274,678,760,425,881,224,462,793,298,536,441,366,307,106,271,058,
198,644,014,943,535,314,642,347,888,539,868,119,892,318,128,077,497,891,926,
704,538,896,005,391,258,141,012,395,843,299,798,425,076,241,759,695,489,562,
871,581,774,632,667,864,194,778,297,430,960,753,195,156,641,821,417,934,080,
544,537,302,619,445,440,645,270,384,319,088,595,184,951,678,630,174,413,781,
809,629,728,926,248,487,281,753,308,709,268,518,776,213,008,208,831,024,852,
251,733,971,477,103,471,887,161,174,549,450,627,230,703,768,896,250,597,302,
564,331,438,219,608,713,007,208,311,079,742,110,991,109,523,801,906,240,457,
301,019,477,559,280,784,490,330,000,777,384,287,544,893,984,493,487,073,992,
847,515,355,263,169,304,501,778,059,779,362,750,953,671,616,472,767,168,385,
061,431,858,311,335,746,072,535,108,448,332,120,118,313,881,738,616,007,595,
756,315,044,624,407,310,340,467,316,198,051,077,512,524,529,591,357,034,577,
093,657,120,398,657,089,470,448,730,786,536,072,499,380,186,518,926,237,764,
352,966,304,492,749,579,481,818,527,340,629,177,250,287,742,058,115,519,689,
079,439,397,740,622,530,846,662,704,121,296,087,225,295,166,387,849,808,438,
992,890,251,158,272,314,091,486,439,662,410,187,837,477,540,593,799,747,650,
840,914,508,879,980,618,576,546,395,129,858,138,257,007,781,975,614,221,233,
083,639,335,310,843,492,854,160,721,200,349,852,740,824,628,791,517,978,544,
648,097,260,780,038,800,668,384,879,696,682,387,990,882,251,771,460,596,478,
263,194,176,504,802,885,492,301,794,317,337,160,855,974,174,894,221,523,999,
141,352,350,152,912,518,954,645,171,897,563,238,604,959,379,226,335,167,968,
722,636,923,038,823,075,210,123,696,148,582,951,295,902,691,137,323,917,900,
921,407,070,360,198,850,152,430,148,639,980,491,135,041,295,703,537,225,532,
349,862,068,070,266,182,851,097,643,921,539,317,575,982,898,755,804,497,304,
874,664,835,530,539,565,866,128,863,114,540,333,389,800,307,931,751,273,316,
828,876,214,695,706,747,973,286,710,868,273,695,399,701,345,568,443,014,295,
043,007,471,796,052,933,058,391,262,065,383,038,398,585,373,820,362,526,307,
135,695,290,114,277,931,179,493,539,185,963,755,656,531,549,948,253,804,717,
074,101,456,487,792,005,569,521,944,896,417,133,070,091,093,418,916,663,032,
846,893,461,483,194,571,163,691,587,976,150,043,339,770,778,799,895,698,413,
932,715,708,072,813,178,001,504,345,723,403,250,663,016,638,083,010,790,900,
902,083,067,627,857,848,414,053,415,833,568,119,941,371,637,235,142,396,148,
914,178,065,725,706,816,222,423,372,694,941,735,632,056,347,587,441,512,157,
950,077,975,026,250,655,160,347,571,369,701,720,315,035,400,381,797,429,262,
237,503,101,370,396,998,866,250,901,328,144,787,490,991,597,859,477,997,658,
698,242,782,027,774,076,281,020,360,782,882,102,086,815,494,595,517,328,226,
891,664,560,957,247,871,491,561,412,066,247,441,498,298,126,815,613,793,737,
645,374,374,020,086,746,659,798,551,218,138,877,460,174,018,503,050,872,695,
996,198,624,091,444,933,776,981,049,724,532,535,904,390,695,712,587,557,509,
497,648,672,326,975,115,076,212,185,477,341,888,406,627,281,083,530,004,340,
378,700,483,187,421,042,057,923,241,636,817,945,062,243,098,472,891,188,370,
608,216,652,880,119,648,323,016,158,638,585,755,612,700,433,903,239,934,023,
462,471,625,008,050,806,904,584,776,531,200,960,642,824,726,462,378,554,987,
831,915,399,111,821,215,710,070,132,453,844,558,248,398,752,435,962,666,485,
792,230,095,625,886,184,227,105,954,563,365,592,576,516,839,634,001,445,340,
353,227,379,071,023,771,183,286,980,044,634,400,869,206,356,574,549,396,048,
007,525,891,643,915,500,234,254,646,694,671,833,650,333,309,964,664,254,616,
110,618,019,998,148,219,750,978,716,346,663,628,428,953,113,041,350,841,763,
997,963,710,302,443,162,969,138,785,463,144,355,011,522,575,827,155,410,190,
920,732,566,753,130,922,680,911,869,127,806,829,221,302,818,011,432,057,469,
972,897,730,864,964,322,849,313,665,358,717,016,956,589,271,731,667,390,188,
569,556,128,598,350,625,527,326,117,107,908,896,379,310,097,262,817,543,925,
196,667,362,178,612,368,010,574,743,212,676,414,367,327,586,585,773,457,606,
260,524,991,613,062,544,669,409,412,095,121,112,869,000,560,964,074,464,588,
204,161,302,296,124,929,250,107,967,736,393,876,323,906,599,088,977,593,007,
222,373,076,330,382,892,402,755,914,096,951,373,382,975,083,713,539,116,700,
048,165,801,805,166,228,997,215,779,208,344,170,022,700,329,600,562,806,234,
428,965,174,042,472,707,401,782,217,341,217,591,808,900,874,008,350,655,128,
834,543,428,670,965,719,567,807,193,936,753,332,003,036,876,791,624,354,569,
267,638,797,579,373,044,847,580,196,571,959,877,113,963,967,581,727,190,107,
577,483,846,876,915,204,237,167,539,106,723,767,364,842,729,266,806,600,988,
925,819,971,187,884,160,201,364,626,124,412,057,633,482,497,857,106,369,044,
814,310,229,259,964,655,504,710,088,290,702,417,698,027,355,410,637,788,723,
251,394,936,989,440,972,437,500,568,307,980,989,555,856,420,965,958,506,208,
396,952,765,575,215,584,498,454,569,374,155,662,403,685,735,947,906,758,261,
155,524,942,276,753,409,285,877,700,333,099,521,759,881,157,366,298,588,391,
282,311,481,845,173,764,551,194,136,121,176,957,283,041,690,443,274,927,763,
119,449,384,458,990,599,125,771,108,590,767,500,689,653,465,503,963,908,144,
226,543,283,137,589,787,083,314,002,730,901,129,999,091,543,673,998,547,840,
480,252,743,858,799,308,097,062,834,276,636,461,019,282,929,721,639,691,638,
691,770,575,886,474,002,861,146,682,737,345,371,144,809,021,623,620,796,188,
774,414,520,581,653,958,073,517,387,947,817,776,369,424,495,858,815,353,498,
711,912,952,074,826,471,666,581,725,599,750,691,829,516,798,185,866,571,504,
390,726,618,748,621,399,516,375,354,730,236,747,581,143,074,629,923,362,881,
828,047,616,588,034,678,664,005,265,199,372,685,103,965,390,485,327,809,907,
928,641,035,129,105,145,204,618,741,976,529,679,712,307,598,397,867,418,810,
920,472,701,309,852,680,600,907,874,442,715,969,062,662,830,538,754,314,521,
671,704,159,567,594,963,296,094,260,038,953,338,755,549,559,891,261,708,595,
393,458,323,988,839,881,234,917,700,620,919,766,671,970,221,661,141,122,858,
418,238,611,970,572,551,347,232,813,728,825,621,604,293,759,705,489,000,431,
463,731,781,782,174,646,366,524,771,779,019,953,026,062,808,579,761,848,274,
824,479,739,541,124,358,931,530,073,207,830,615,762,568,152,989,508,830,859,
643,161,028,742,942,168,713,414,539,469,108,918,096,703,570,079,009,577,524,
144,321,233,113,815,158,987,009,172,642,998,737,809,734,694,722,986,347,026,
192,140,246,678,791,259,455,092,793,703,847,659,707,256,206,027,682,436,233,
394,103,574,537,176,333,520,924,989,803,977,969,877,046,535,530,042,475,486,
352,535,217,295,307,758,990,408,094,832,984,878,323,771,939,503,977,213,803,
637,002,837,288,572,956,393,166,094,202,905,484,386,119,959,702,198,420,792,
443,835,831,497,049,939,729,271,996,349,252,099,428,499,343,756,952,301,310,
736,613,098,533,352,231,261,070,886,925,701,571,351,958,541,582,082,267,734,
244,210,127,809,386,024,414,397,613,539,689,608,056,508,115,019,274,780,103,
470,831,880,836,478,135,075,141,748,876,341,622,935,259,955,364,063,198,841,
096,728,672,521,226,155,077,702,728,739,437,200,149,327,316,788,505,184,431,
318,617,882,097,909,764,730,246,214,365,252,433,857,400,050,552,245,397,961,
615,734,819,845,280,252,535,372,210,556,830,966,866,121,361,131,510,725,905,
044,612,801,551,409,366,822,071,618,941,625,627,783,625,992,655,297,402,967,
796,936,544,790,835,876,879,380,464,513,966,304,013,221,487,406,305,565,888,
147,711,588,099,642,687,366,685,226,918,206,620,309,787,775,077,320,359,567,
479,347,296,285,693,787,008,576,348,285,553,743,681,611,926,853,212,756,492,
080,573,893,568,553,968,013,714,842,639,601,098,037,364,880,875,965,411,158,
973,380,919,250,144,965,649,473,634,073,192,006,311,445,394,527,182,168,421,
706,052,090,852,714,539,752,079,424,846,290,288,866,106,116,302,438,501,726,
851,064,899,605,976,381,603,588,852,382,514,735,559,657,342,745,622,569,672,
370,362,709,308,391,999,568,226,482,653,974,914,347,526,179,951,587,435,243,
724,085,984,492,540,451,336,585,638,794,339,961,383,893,137,335,664,205,053,
043,527,307,609,615,486,442,916,996,585,363,677,145,346,747,268,013,615,495,
053,162,569,836,888,305,563,240,814,695,649,889,729,154,527,952,763,371,267,
403,629,029,756,128,834,508,188,291,949,374,677,347,301,192,468,267,154,426,
719,592,991,197,558,166,999,672,782,829,179,259,240,248,711,545,858,409,873,
787,039,160,184,824,945,633,461,482,085,186,704,540,713,909,513,654,518,407,
899,505,093,054,443,793,774,214,735,789,025,020,201,800,489,666,754,180,404,
133,760,485,127,162,479,605,558,502,380,076,266,896,873,586,100,810,490,149,
610,732,973,678,122,515,970,017,924,084,666,264,999,287,166,301,119,389,292,
918,616,228,686,292,651,871,957,522,228,619,497,689,373,035,756,235,440,540,
921,665,476,578,190,640,589,468,724,794,809,366,911,232,952,315,541,745,574,
855,128,723,718,209,881,194,882,701,257,080,302,875,151,033,044,878,593,742,
442,511,894,131,567,884,402,895,419,491,080,178,294,540,911,239,541,184,669,
921,952,938,530,388,761,267,011,024,896,567,187,504,962,896,847,147,034,499,
951,866,081,521,297,407,180,238,029,442,231,820,620,066,664,726,914,061,078,
131,067,454,583,347,873,098,302,461,249,670,614,688,704,303,070,730,432,763,
863,297,997,865,168,959,441,934,067,002,851,643,967,381,612,717,398,650,322,
920,830,896,490,183,517,946,072,325,361,128,146,543,159,869,613,669,311,673,
494,941,854,758,925,209,007,016,502,458,024,634,374,215,041,299,034,850,914,
118,976,508,466,513,604,803,494,843,991,868,115,142,682,256,284,608,923,808,
602,019,161,463,989,020,182,399,357,716,215,865,967,833,939,116,973,442,623,
958,660,311,090,551,137,721,896,027,056,313,825,024,930,434,557,683,883,885,
902,550,925,472,901,909,087,805,870,067,494,053,845,501,859,914,719,737,286,
530,618,074,358,000,049,951,774,686,529,342,577,610,168,793,700,607,321,713,
447,526,757,874,423,034,046,926,530,082,991,713,483,338,230,800,140,756,073,
043,428,823,177,574,294,694,956,116,373,168,912,510,889,186,169,548,651,481,
823,354,340,133,662,820,516,925,766,275,528,072,574,584,617,391,547,021,054,
119,646,059,514,353,455,342,267,441,747,004,560,024,569,778,682,188,356,906,
818,680,922,601,199,028,678,753,648,229,537,570,653,152,440,327,328,414,341,
301,080,701,063,438,205,427,460,930,237,028,361,787,036,295,039,941,384,507,
943,633,952,049,635,755,878,487,999,342,008,953,127,437,556,214,144,826,319,
042,755,546,720,956,492,525,451,626,742,344,281,002,790,731,176,461,018,916,
462,947,811,104,863,632,607,719,636,779,821,686,579,202,838,516,716,889,639,
688,398,499,023,691,977,125,341,737,072,322,688,964,391,037,726,486,915,333,
429,902,919,433,871,272,079,307,202,731,845,804,620,500,910,145,664,262,107,
391,612,964,785,120,187,891,909,497,595,968,413,314,916,826,306,457,097,033,
999,835,035,459,091,265,048,792,746,401,460,079,796,530,833,220,808,185,699,
929,945,426,161,231,760,457,258,072,296,948,393,304,369,024,985,536,682,405,
891,153,813,917,996,403,567,791,577,691,781,551,530,478,506,185,656,523,368,
936,598,176,788,713,759,158,341,387,051,004,907,044,464,113,164,094,436,700,
235,975,673,981,153,024,798,646,613,203,165,409,094,141,059,383,827,329,502,
142,609,870,953,570,745,447,286,609,139,553,680,341,888,417,477,022,245,374,
835,695,055,734,641,161,734,624,568,069,241,303,155,830,238,618,713,812,967,
232,770,534,924,738,804,109,936,614,913,600,325,620,869,590,653,418,537,433,
057,038,813,431,223,352,917,042,937,032,009,608,157,122,431,824,121,217,242,
843,087,490,567,511,606,291,825,919,368,518,986,289,286,950,935,703,704,268,
336,593,067,481,382,795,004,137,582,294,715,247,294,277,535,709,539,222,705,
821,717,672,980,584,953,472,675,937,515,274,472,704,822,644,105,128,737,942,
436,654,311,944,920,244,764,893,731,059,558,977,815,146,075,833,974,947,114,
600,375,665,319,577,176,504,697,806,570,918,519,223,963,384,666,639,207,051,
462,138,947,229,737,545,281,047,592,656,504,195,282,414,719,633,428,625,726,
373,113,265,855,780,195,389,649,598,002,226,534,669,396,548,856,257,316,287,
154,018,039,984,141,931,175,545,194,658,632,576,196,198,081,682,741,536,785,
637,900,683,696,252,998,070,383,989,731,702,521,648,761,102,679,702,763,142,
257,636,611,643,822,014,548,344,675,023,310,331,996,101,035,114,200,124,245,
158,248,535,872,662,413,217,814,853,620,286,109,315,982,097,401,633,252,086,
692,338,297,948,081,944,663,376,998,287,168,026,463,816,283,725,115,050,406,
406,266,224,822,574,244,296,128,281,853,876,965,720,098,317,669,225,729,105,
029,551,470,303,141,183,185,805,434,691,960,808,157,677,026,841,028,120,083,
369,263,958,869,104,489,358,880,864,061,105,555,336,500,259,728,892,652,825,
566,479,068,163,151,756,663,717,022,617,479,448,786,070,615,714,305,704,688,
672,368,367,485,634,369,264,834,349,501,030,344,487,995,279,910,992,243,430,
821,327,475,010,330,564,619,717,463,530,979,373,304,194,387,095,231,318,078,
800,917,487,449,194,947,847,450,835,680,416,488,363,123,079,136,085,060,129,
437,407,529,110,287,309,718,660,121,886,586,827,517,767,376,898,197,976,338,
758,740,406,393,841,374,101,007,315,284,824,255,780,547,153,585,373,608,692,
084,598,525,618,839,127,501,181,451,183,815,507,684,730,691,345,459,054,877,
875,151,268,514,208,157,416,748,236,411,517,579,724,361,751,851,010,251,715,
635,379,655,714,400,311,104,446,502,336,594,569,403,627,661,524,444,799,340,
441,993,221,424,826,558,024,016,189,238,936,380,344,266,977,308,550,507,227,
909,762,975,689,854,310,838,661,403,938,716,970,522,799,796,731,650,110,287,
789,345,512,883,336,533,794,900,763,715,812,660,114,048,680,096,318,590,047,
291,460,907,878,255,212,391,219,745,455,584,418,233,801,579,155,331,390,345,
317,012,214,812,178,904,689,291,734,926,703,127,574,986,303,282,356,988,561,
142,083,870,214,812,301,656,226,813,176,972,218,497,180,628,570,649,794,942,
477,252,392,301,646,700,683,635,538,746,851,304,427,102,580,537,605,848,020,
685,321,203,458,538,885,012,858,381,662,874,296,539,981,129,943,834,717,007,
234,030,355,722,880,065,560,543,090,901,985,034,883,591,176,359,687,201,029,
633,181,402,082,053,183,257,243,546,399,757,985,978,967,290,842,191,790,505,
397,032,054,478,794,663,878,197,994,463,317,352,529,314,536,607,770,639,887,
234,311,770,950,678,419,346,238,329,946,060,885,346,767,580,619,548,819,506,
647,340,146,550,478,972,453,341,798,303,341,209,349,739,228,499,775,583,640,
566,547,663,333,812,805,202,683,544,836,214,938,429,549,854,999,460,617,744,
527,238,324,322,752,350,009,620,618,796,478,288,011,613,914,139,417,596,077,
553,338,515,667,693,556,997,783,031,058,688,045,557,182,055,719,382,567,731,
112,992,446,541,649,999,468,998,306,175,981,942,975,180,232,224,946,921,375,
849,404,103,093,421,995,660,944,080,370,283,485,200,108,123,328,700,191,511,
995,380,457,149,874,662,410,304,352,945,593,773,207,629,262,098,617,641,987,
014,256,604,969,749,595,729,460,979,609,594,373,759,157,816,399,592,376,880,
449,669,002,208,437,821,467,195,076,154,439,828,215,853,142,840,343,045,245,
706,836,518,233,299,490,544,794,015,332,975,324,271,944,792,777,263,356,061,
563,264,501,718,513,540,961,646,920,224,945,760,323,921,149,778,557,033,782,
194,730,898,392,571,667,175,909,916,670,191,721,833,582,520,484,139,249,881,
568,953,815,336,570,735,899,252,233,670,441,388,552,098,890,267,972,369,731,
075,332,591,486,350,449,455,359,977,123,087,892,641,329,842,252,291,896,454,
912,670,252,261,955,818,717,010,734,082,370,610,520,500,594,804,696,308,078,
641,812,431,648,970,045,081,616,690,430,763,582,344,162,632,184,117,076,792,
453,197,466,132,982,161,850,743,434,134,210,920,091,485,459,915,309,817,870,
297,359,934,139,024,095,341,879,953,160,315,938,544,570,067,532,519,383,176,
699,431,599,094,179,641,578,930,128,831,861,657,963,984,121,398,513,897,685,
907,000,394,697,305,662,912,330,078,296,007,348,412,504,814,375,315,109,341,
999,242,437,211,906,510,426,051,964,600,399,117,423,203,615,949,241,512,479,
654,427,789,735,099,835,396,984,174,689,273,938,202,712,753,233,415,422,850,
447,644,625,380,990,601,706,597,829,466,666,745,091,601,745,613,743,197,523,
718,066,256,479,420,247,492,001,671,870,907,837,142,896,618,780,373,174,642,
957,941,385,117,008,158,161,631,307,562,057,164,305,283,897,121,341,691,171,
960,149,824,491,220,897,643,532,737,929,179,140,269,460,741,328,267,190,057,
270,593,011,224,459,811,162,144,349,158,676,523,546,991,842,498,051,350,619,
183,132,471,791,692,212,484,892,440,578,594,867,543,159,988,047,153,922,611,
772,832,563,644,488,838,979,726,507,438,585,397,550,836,031,775,458,715,713,
829,645,676,396,137,032,826,527,841,809,594,734,607,152,780,169,716,723,738,
527,846,677,800,806,054,133,135,089,489,907,707,971,975,781,888,962,621,490,
596,177,633,654,718,187,582,952,472,840,485,514,878,435,464,156,986,482,153,
320,788,668,720,945,107,723,783,971,753,499,213,856,975,576,149,972,461,254,
574,575,520,811,868,756,520,246,104,374,977,119,460,992,483,992,067,027,694,
979,183,562,695,571,289,054,634,982,776,310,120,123,235,190,578,866,994,452,
958,134,871,906,177,371,383,919,924,386,063,352,870,245,842,837,309,029,335,
138,727,760,038,715,870,714,964,335,004,722,934,295,587,042,591,935,948,391,
185,790,146,444,899,589,525,734,231,850,155,442,040,626,801,708,487,847,755,
503,100,613,831,210,490,679,745,062,251,237,765,425,603,502,237,759,267,384,
952,565,999,189,822,937,310,098,890,720,137,128,610,541,517,557,761,488,839,
369,109,761,952,153,976,637,490,314,793,812,212,892,128,450,477,669,208,487,
945,829,649,286,905,572,834,420,683,425,031,385,956,867,008,070,054,981,973,
075,305,642,793,111,799,120,312,363,982,129,256,617,101,851,334,814,436,734,
842,414,874,189,377,467,132,181,326,073,762,139,749,510,010,304,261,163,648,
449,657,551,235,316,730,610,913,280,548,211,828,935,621,917,499,510,603,371,
275,051,638,629,067,395,288,770,517,043,647,919,196,584,683,891,865,454,715,
235,956,237,335,887,678,898,319,637,327,260,700,236,176,221,903,112,275,813,
324,003,112,476,230,866,969,246,565,488,954,780,623,396,995,726,977,666,624,
921,039,534,811,954,302,248,353,023,623,909,254,550,719,025,802,953,270,313,
028,823,754,150,024,259,558,599,690,724,044,651,108,661,674,701,645,167,868,
491,083,361,226,029,052,588,047,416,842,187,228,585,368,555,645,926,001,832,
850,433,060,656,459,757,815,143,415,328,608,653,613,943,955,223,452,638,379,
065,923,303,031,837,760,618,764,721,936,183,866,368,931,634,989,199,629,209,
164,173,552,268,227,877,767,072,755,554,580,122,263,188,093,422,827,330,955,
630,108,819,312,001,402,408,385,761,015,210,189,319,611,055,129,262,244,184,
501,881,156,943,820,740,480,599,567,798,087,357,739,095,228,602,396,769,760,
247,807,221,387,653,986,890,604,387,667,372,789,233,117,816,159,570,651,599,
859,897,016,463,329,546,670,230,839,523,003,712,495,922,464,697,166,198,401,
349,404,314,984,247,823,694,602,753,366,947,043,363,965,074,219,141,955,077,
189,070,140,407,266,904,984,383,051,064,383,501,123,839,583,126,618,642,568,
611,460,057,861,891,937,741,287,117,769,050,819,131,215,782,247,291,260,632,
020,762,962,012,369,350,988,085,620,409,316,516,951,099,572,436,130,583,437,
386,777,407,427,259,679,711,064,630,056,957,628,370,585,672,993,032,405,818,
013,924,369,358,065,804,292,668,581,890,935,742,180,521,783,413,933,094,911,
728,635,849,681,527,059,171,701,603,581,590,975,037,185,833,956,000,657,265,
532,214,394,257,811,711,048,325,083,713,458,499,313,865,103,910,991,569,645,
908,309,868,114,809,208,736,100,449,999,480,626,822,702,286,203,265,140,907,
259,134,949,089,254,242,143,829,667,881,627,993,015,309,140,139,536,116,805,
362,017,875,894,236,371,050,853,521,107,573,690,187,480,144,588,702,390,255,
608,913,214,856,378,671,622,702,527,901,110,524,145,263,199,392,482,388,825,
626,511,666,695,869,310,200,685,259,726,036,436,738,268,942,081,381,112,690,
230,544,173,772,021,242,830,047,415,975,050,648,916,263,105,530,343,956,376,
127,056,754,377,063,242,213,639,570,935,335,052,383,506,850,909,658,925,018,
135,710,508,178,976,585,886,094,923,210,049,163,568,859,718,569,481,014,566,
668,574,615,347,970,932,563,714,932,451,589,267,085,125,970,758,323,875,198,
719,920,576,778,807,229,462,475,155,632,386,824,850,170,326,126,858,614,039,
928,836,783,399,593,150,949,590,882,489,996,935,433,158,750,787,799,044,496,
198,741,757,181,840,110,747,508,204,195,485,885,709,553,863,882,518,671,530,
812,619,115,635,572,577,096,057,038,705,213,624,408,027,250,864,179,812,373,
915,342,040,019,688,142,989,966,375,658,737,282,871,509,283,493,739,035,100,
550,498,207,921,053,904,224,406,455,481,801,658,628,801,300,363,236,739,638,
257,586,915,022,047,326,224,719,596,482,171,803,444,606,587,428,418,825,621,
741,710,030,849,627,499,516,697,837,584,635,313,469,006,687,722,489,638,994,
388,616,692,818,634,577,107,970,741,264,225,929,769,618,983,442,732,322,505,
718,970,277,068,999,397,086,908,758,301,899,940,370,989,409,941,009,963,441,
737,531,340,203,283,323,598,199,331,061,081,461,964,273,516,765,006,520,994,
191,248,192,325,077,580,834,339,418,435,247,725,112,731,418,100,744,773,547,
340,848,373,903,444,879,793,506,371,454,641,986,846,135,692,907,597,653,122,
813,848,049,301,491,074,125,501,115,009,404,768,084,334,364,280,956,289,179,
387,096,050,260,896,337,340,256,629,936,615,203,962,798,830,411,556,266,568,
862,889,852,587,037,616,160,308,709,699,025,162,591,149,514,035,293,640,174,
294,239,552,361,395,583,186,368,829,509,975,702,933,034,355,673,796,215,371,
564,876,718,183,370,567,411,507,662,891,392,171,027,158,392,064,940,926,212,
238,822,308,525,217,186,429,634,419,163,680,489,321,176,760,198,145,809,621,
395,025,122,385,291,451,332,220,749,278,776,860,356,471,498,216,988,933,694,
869,734,559,948,751,554,371,309,492,271,360,717,203,317,109,010,182,270,410,
357,763,767,651,104,030,684,204,362,958,120,066,453,410,032,378,612,633,786,
893,035,657,572,999,615,928,891,696,180,221,350,119,375,447,673,471,347,038,
195,323,135,164,957,235,202,643,996,197,353,547,898,931,114,682,526,146,793,
461,858,631,745,524,676,763,383,095,987,068,532,188,587,629,340,595,654,887,
048,389,261,965,630,245,287,628,686,807,397,723,300,726,053,214,318,444,841,
812,603,941,473,416,804,766,665,547,818,858,890,228,199,496,912,818,017,173,
304,979,937,467,207,372,273,397,243,067,228,661,746,146,799,934,195,829,986,
188,979,525,650,430,526,163,766,104,489,511,725,502,160,213,209,333,968,583,
224,729,308,857,363,582,594,613,048,352,320,323,193,072,160,824,342,424,025,
020,138,511,214,472,399,661,060,138,005,656,295,717,365,855,674,401,331,423,
931,572,361,847,724,054,841,661,543,082,568,042,069,308,201,806,495,856,997,
071,774,174,145,176,935,618,933,068,611,457,914,955,638,155,911,240,779,769,
458,441,369,403,493,847,741,086,516,276,281,141,711,263,484,287,490,378,744,
465,392,502,275,783,338,783,825,810,197,439,037,873,530,489,500,413,247,813,
855,986,279,371,138,003,470,523,808,570,105,099,780,680,396,966,215,870,183,
181,714,940,930,700,896,726,279,890,939,403,278,127,983,151,059,140,706,971,
275,285,973,658,085,756,215,576,129,595,374,982,659,254,448,856,690,095,070,
096,748,341,840,917,181,540,275,629,702,782,331,251,603,385,247,830,020,918,
231,381,938,672,956,481,924,854,323,147,799,228,508,529,817,074,296,112,402,
990,929,770,266,363,696,685,456,219,737,596,540,509,100,857,003,673,204,869,
712,898,024,132,706,353,085,340,890,596,123,458,154,183,799,043,327,787,542,
091,394,378,802,900,135,156,528,694,305,780,155,272,729,011,141,141,356,160,
421,919,558,564,743,707,572,312,934,231,227,274,080,941,519,974,409,560,543,
351,208,440,772,072,373,460,642,875,373,874,119,515,518,733,030,858,573,249,
023,258,899,800,025,162,715,623,657,596,953,902,922,950,207,617,850,479,382,
413,152,211,161,947,449,639,804,705,572,772,494,208,694,203,424,714,965,046,
175,066,093,392,139,141,905,557,979,000,522,332,566,369,871,895,623,348,706,
344,433,645,342,776,522,062,693,123,833,192,971,951,372,552,284,170,478,076,
327,715,206,841,719,837,993,316,793,366,835,852,781,941,694,184,551,033,729,
369,738,381,685,510,807,604,330,963,760,301,204,599,733,164,224,672,679,289,
939,286,551,953,708,823,099,401,141,108,797,368,847,843,254,254,922,447,254,
287,587,247,234,905,081,304,880,272,031,250,555,276,983,648,614,701,373,628,
706,821,429,705,941,297,272,460,258,409,165,969,120,842,238,698,791,266,368,
633,166,196,980,222,581,584,476,747,799,598,028,543,591,566,215,355,358,306,
489,449,933,439,026,400,717,923,636,075,031,825,868,806,382,035,847,751,160,
816,752,306,102,834,529,223,033,950,891,761,985,081,048,847,695,794,151,068,
677,109,065,476,813,961,840,459,958,955,552,464,831,102,883,934,344,111,062,
958,645,141,927,456,906,863,082,077,784,797,835,038,189,368,950,672,209,821,
405,194,945,288,532,379,345,970,763,437,233,061,035,593,791,318,253,282,403,
708,633,197,957,688,900,241,206,774,530,492,150,837,040,402,489,478,865,898,
463,910,074,141,967,483,243,099,869,053,397,017,371,854,284,867,179,925,992,
156,921,314,566,575,561,204,239,394,778,646,203,688,349,841,430,004,041,476,
259,930,953,042,927,797,326,683,703,936,538,014,969,165,072,546,777,000,485,
551,755,313,429,131,117,560,309,057,190,342,869,927,644,198,627,645,137,492,
416,935,656,426,791,878,530,254,874,982,640,724,763,997,679,579,360,634,090,
630,915,573,550,477,128,281,559,618,699,436,474,944,003,107,402,201,345,138,
267,221,383,209,202,801,759,648,212,727,628,030,136,207,809,150,795,038,287,
320,352,000,081,335,210,283,396,120,273,710,696,775,955,022,676,215,767,611,
512,656,154,301,740,244,981,939,235,989,285,102,304,454,602,781,577,196,476,
103,592,267,788,764,145,493,549,113,853,876,797,990,812,359,447,955,864,121,
720,428,946,424,036,813,847,335,910,281,633,371,298,308,370,022,041,081,886,
726,856,574,691,196,009,342,730,944,003,782,987,427,628,671,727,836,975,946,
605,639,768,113,509,692,252,236,783,005,582,769,010,144,568,277,306,611,997,
077,730,708,143,666,956,257,131,867,169,449,760,853,435,307,674,237,743,571,
047,155,139,444,056,166,498,942,186,482,072,961,269,555,080,078,613,403,409,
298,910,485,648,656,505,145,910,215,250,696,147,673,411,352,361,061,537,692,
785,881,424,305,279,244,172,124,077,083,435,642,266,953,659,071,518,321,995,
792,108,335,921,469,990,180,807,825,772,763,530,154,878,954,788,275,539,993,
355,768,007,798,614,673,560,849,724,281,994,012,903,409,789,357,329,163,282,
748,166,889,033,412,796,912,601,157,867,125,618,049,728,409,357,384,871,185,
691,355,392,285,581,423,561,354,936,680,641,625,026,470,115,446,303,184,618,
588,019,308,228,667,887,095,786,912,089,229,309,432,675,884,575,649,767,782,
475,812,505,544,676,752,371,286,436,367,194,881,962,650,123,224,029,305,400,
718,634,535,466,341,874,196,207,773,146,782,126,759,558,498,531,571,281,134,
085,876,151,227,570,900,787,152,117,362,788,923,163,384,022,426,922,535,769,
896,387,385,677,114,162,767,549,301,077,930,625,038,353,217,608,186,381,015,
494,099,842,590,867,433,240,087,341,469,108,879,784,005,184,569,655,342,079,
903,135,898,927,806,353,756,032,755,475,573,848,389,137,712,783,378,667,018,
233,218,383,305,110,760,954,433,973,603,201,949,275,403,544,518,434,800,559,
211,927,231,987,624,548,664,125,344,143,841,476,470,911,353,750,157,294,235,
475,443,681,570,405,824,784,945,703,097,181,862,729,480,240,459,251,605,329,
259,332,226,291,072,463,051,743,563,565,248,433,465,263,678,220,383,722,951,
083,269,572,016,683,942,404,661,028,490,798,616,931,672,061,561,100,418,684,
391,501,346,715,639,394,818,856,049,535,897,167,609,832,184,730,723,116,694,
971,435,859,332,720,855,061,466,467,243,296,420,196,026,859,517,065,747,943,
413,951,386,081,192,682,906,079,198,567,794,878,090,346,891,338,081,332,689,
228,032,164,538,704,491,242,723,935,909,790,570,885,931,954,703,446,913,282,
566,903,087,249,587,989,571,099,864,474,548,976,839,109,731,382,178,949,878,
658,478,157,777,045,767,689,344,080,815,983,654,025,158,417,871,505,541,314,
579,067,708,620,666,183,027,191,619,648,294,304,558,032,461,168,995,277,324,
809,029,360,136,144,859,821,584,989,121,590,251,067,466,570,845,795,702,574,
284,133,340,354,302,869,216,866,235,105,950,477,309,702,949,966,873,479,159,
411,961,600,852,197,500,955,654,010,207,494,169,495,366,994,611,532,068,777,
720,200,600,950,670,526,073,390,560,494,602,412,142,364,841,571,177,696,558,
273,866,713,826,993,975,168,781,910,604,949,973,382,892,614,931,462,314,636,
831,529,167,840,424,624,092,372,963,586,652,086,607,967,510,592,770,570,683,
798,119,230,798,035,206,368,142,767,280,802,539,762,491,621,213,604,577,023,
959,920,379,226,743,738,539,898,118,342,088,755,621,285,018,970,885,603,094,
709,783,333,772,739,027,688,236,931,417,352,149,534,145,613,409,702,193,348,
903,257,397,847,999,713,618,690,833,097,684,108,152,072,018,200,840,879,883,
119,529,670,817,624,526,678,315,143,383,944,468,961,105,954,675,583,542,755,
913,399,916,128,474,242,171,968,254,445,464,987,740,613,285,442,202,602,424,
527,271,146,766,651,258,004,549,996,492,683,609,646,375,675,151,350,029,817,
353,522,232,133,519,805,373,602,578,166,591,691,528,007,215,209,004,795,419,
378,684,124,584,035,657,846,156,905,190,616,031,184,472,528,283,496,852,118,
324,755,529,653,861,887,103,950,553,253,148,207,381,767,848,908,776,934,766,
667,889,843,955,252,832,567,904,058,221,357,746,868,284,530,783,102,491,364,
748,298,604,707,325,307,142,943,334,194,715,503,393,841,353,726,216,093,293,
485,487,724,892,975,294,244,866,217,135,726,207,646,602,517,813,812,167,135,
719,734,943,787,224,142,099,973,012,804,202,714,344,705,778,880,277,968,789,
704,396,243,930,551,977,926,111,982,484,148,368,090,089,261,717,659,016,351,
761,768,312,666,313,497,634,672,776,421,143,606,752,023,659,437,104,810,844,
211,023,745,666,384,207,806,743,658,599,210,231,470,570,721,868,809,417,672,
762,611,787,220,638,458,416,473,543,840,631,849,421,662,510,756,471,709,185,
001,526,186,550,984,487,660,998,967,034,252,876,694,284,743,614,814,784,294,
335,040,460,674,312,928,727,809,302,786,413,032,654,872,005,762,214,553,187,
437,397,803,626,931,467,217,742,916,392,506,124,701,934,122,251,844,857,248,
994,768,630,096,792,717,355,054,854,638,270,509,121,009,427,652,176,777,970,
668,355,154,747,704,313,335,830,233,001,443,215,029,373,702,874,896,451,413,
463,231,761,020,685,410,901,825,094,020,830,025,585,344,192,165,568,942,095,
499,635,072,226,447,423,023,359,163,348,853,108,652,216,572,139,047,969,012,
169,453,420,873,875,406,041,851,132,130,043,424,373,716,763,454,138,327,992,
942,530,883,040,715,657,034,032,186,089,564,026,125,894,610,247,735,449,400,
924,402,318,356,655,635,501,711,951,126,471,689,087,254,644,677,651,423,216,
970,390,957,132,448,581,968,818,367,545,140,194,638,957,401,528,534,126,028,
794,454,053,520,442,816,669,398,533,877,789,339,969,524,316,821,432,841,284,
705,105,533,461,391,116,899,240,450,196,447,575,128,365,378,111,415,196,354,
374,210,341,522,211,583,897,960,481,471,065,452,710,334,333,801,853,266,515,
691,569,006,275,913,162,299,420,349,392,792,232,123,637,171,444,359,606,937,
674,905,815,147,714,707,771,388,225,238,111,126,900,752,195,332,675,974,785,
574,277,139,471,107,919,106,817,886,458,793,624,738,475,560,805,774,032,280,
322,622,190,591,549,221,110,360,961,720,697,443,800,860,616,292,299,442,460,
832,979,155,566,551,314,504,268,896,722,232,043,299,470,371,457,768,120,031,
787,611,854,863,802,516,312,798,354,716,681,436,060,462,733,417,852,795,858,
652,546,370,773,751,146,525,640,487,087,455,310,850,067,992,866,162,428,171,
674,738,583,084,452,501,305,112,996,636,902,729,787,740,091,326,105,638,502,
989,739,068,819,497,273,875,208,529,465,494,566,699,955,684,031,078,761,713,
962,005,366,307,465,082,463,706,110,777,269,452,893,920,031,937,862,816,569,
224,453,998,841,093,913,019,918,988,143,516,905,132,719,242,370,334,073,852,
496,609,761,855,817,697,251,582,031,172,776,760,016,408,793,463,803,241,656,
786,506,503,390,220,974,450,467,831,320,964,342,511,607,290,266,297,490,889,
912,777,578,574,312,601,057,429,620,233,399,324,781,748,247,561,026,721,729,
850,403,881,706,934,474,058,837,344,072,852,027,744,198,430,452,661,709,057,
718,382,161,387,087,467,636,348,981,720,360,704,792,286,475,528,046,260,660,
634,791,472,539,960,506,073,088,435,122,989,285,682,298,842,370,269,608,918,
410,018,981,092,875,389,290,015,836,513,216,614,794,326,785,670,265,742,769,
800,740,729,859,662,485,549,838,312,484,629,765,982,903,822,437,981,983,528,
612,270,468,527,040,330,432,553,584,241,930,216,280,941,834,965,818,044,065,
497,533,347,605,188,502,661,256,096,267,266,709,651,237,783,305,960,007,170,
915,983,461,591,513,166,956,976,321,041,887,681,305,681,054,960,927,820,538,
193,080,270,353,502,402,967,637,562,221,779,335,722,163,395,353,101,362,758,
192,803,648,927,464,931,818,672,717,044,740,622,281,910,164,695,421,323,501,
602,247,404,580,537,881,548,652,774,926,241,683,467,072,542,970,149,879,257,
931,630,311,381,497,626,032,658,340,047,927,090,589,970,025,074,529,043,425,
985,827,015,246,695,784,473,400,331,858,187,446,408,302,721,435,433,850,154,
716,166,045,723,758,378,886,750,600,555,736,494,919,304,861,282,761,943,212,
315,995,987,817,172,802,576,524,289,993,681,162,318,450,505,914,286,702,542,
133,379,104,841,694,204,891,721,524,537,194,497,248,780,455,225,465,627,211,
109,943,682,082,290,476,484,166,005,783,534,420,892,533,673,955,335,725,540,
005,899,468,928,949,374,376,927,708,441,703,769,700,906,160,326,687,363,524,
094,170,959,509,549,230,131,227,994,077,662,590,306,018,484,649,636,139,790,
969,910,100,904,084,025,748,889,083,067,257,002,017,566,464,715,451,338,108,
057,190,089,667,541,831,819,390,892,958,206,961,723,661,358,611,127,520,673,
968,442,233,866,529,865,667,271,775,747,837,065,035,392,109,342,779,064,029,
697,504,910,829,168,170,687,642,474,965,476,085,774,197,766,318,863,624,090,
949,266,985,099,357,558,014,290,579,018,456,119,896,033,527,805,036,754,824,
847,696,739,431,430,452,331,745,901,759,379,760,421,909,674,156,937,737,955,
477,885,855,947,853,711,248,214,703,191,056,503,097,093,841,665,971,957,006,
314,404,421,377,107,914,254,362,046,344,351,240,206,088,603,583,009,736,996,
483,888,944,077,248,577,375,512,681,051,205,408,101,023,447,013,977,481,364,
056,813,390,914,790,457,170,486,066,909,417,335,692,703,826,877,458,121,891,
638,027,480,935,918,795,875,222,706,759,400,689,767,177,178,867,832,295,693,
205,613,491,069,049,307,398,664,718,535,521,436,456,577,533,596,816,080,794,
168,417,669,016,040,167,117,948,710,475,032,377,778,178,220,200,734,383,727,
947,930,767,238,186,823,291,323,829,160,068,619,529,350,770,479,948,745,667,
750,664,789,742,635,678,526,988,017,476,381,262,675,068,531,932,724,681,301,
988,617,005,418,754,966,619,260,700,586,127,725,875,919,036,660,982,871,268,
813,288,090,575,024,342,825,807,352,869,139,892,393,275,264,747,253,193,921,
951,737,797,102,345,867,111,316,749,454,577,479,890,516,764,452,424,062,475,
685,793,224,634,530,599,991,771,967,975,965,214,364,749,434,702,430,079,109,
617,125,814,592,941,842,582,178,023,151,005,051,190,142,694,384,251,400,943,
789,729,305,468,908,766,860,535,009,329,062,418,154,862,851,586,098,633,244,
847,859,614,508,122,031,983,651,033,698,780,955,367,141,242,532,347,363,911,
910,449,184,462,376,850,450,495,327,386,516,674,833,464,036,835,383,152,784,
686,435,709,368,414,450,318,672,402,736,733,311,018,462,784,566,143,833,100,
991,214,011,288,178,165,037,444,509,050,297,345,712,705,387,960,057,712,742,
324,856,054,351,820,182,729,938,556,544,812,185,365,914,117,752,056,806,265,
748,157,645,945,772,117,934,635,658,514,966,467,890,600,594,430,721,679,158,
572,411,510,964,268,090,264,901,637,864,967,954,633,332,063,420,601,185,149,
624,312,512,909,805,168,875,406,774,490,417,449,788,777,958,685,633,609,510,
253,853,976,705,395,809,155,517,563,127,136,982,692,819,343,849,157,855,631,
060,223,852,410,788,528,808,445,388,612,619,212,224,607,757,731,968,337,734,
064,684,599,404,953,366,720,519,747,116,481,693,975,006,547,186,408,106,662,
248,251,808,908,117,513,783,794,217,876,908,462,539,781,439,664,143,737,787,
681,077,932,695,441,234,025,335,212,146,584,952,116,613,977,536,136,623,733,
923,352,122,871,950,038,395,823,155,030,318,853,586,584,626,349,678,129,232,
435,066,036,703,064,603,725,596,017,735,554,013,370,937,638,210,847,884,190,
043,278,126,141,840,097,302,568,053,997,142,336,174,869,048,620,946,578,440,
163,932,870,133,789,717,896,762,649,060,623,779,186,625,268,444,303,883,890,
134,133,349,987,502,428,594,546,004,598,967,639,889,031,730,057,195,840,013,
439,857,762,498,970,805,348,725,446,697,112,702,379,315,358,420,426,134,685,
609,114,052,842,944,608,780,479,854,895,039,736,213,318,223,872,998,314,082,
873,846,163,577,091,574,696,194,092,909,373,790,473,977,128,983,928,134,525,
324,563,329,978,458,076,889,735,741,489,486,920,938,547,421,616,508,570,654,
132,864,474,273,642,603,735,691,904,790,678,731,180,508,250,259,289,122,511,
797,445,184,840,622,975,706,046,262,140,435,983,076,726,919,422,239,414,460,
502,331,606,405,199,880,105,483,015,533,601,569,210,249,212,546,432,318,681,
663,003,679,821,957,201,314,860,698,206,741,558,840,009,487,915,206,360,698,
429,640,337,971,099,161,231,420,049,320,416,977,233,219,405,074,113,540,169,
692,602,539,567,700,236,891,520,823,883,098,666,123,219,653,804,713,787,974,
544,339,235,133,879,115,860,997,553,555,350,323,891,806,474,658,126,483,773,
421,802,507,697,606,713,571,779,838,659,678,581,580,042,785,605,054,871,526,
439,061,937,216,507,709,808,337,332,837,093,560,431,083,780,152,999,512,355,
110,752,153,030,038,789,858,426,763,124,899,077,210,108,456,404,757,340,811,
230,601,115,064,291,090,861,009,842,066,830,664,699,559,807,465,038,331,404,
567,762,347,026,141,960,672,811,883,724,925,432,216,187,428,871,961,812,220,
718,436,654,119,941,508,871,499,650,904,192,637,954,876,436,356,472,962,903,
793,119,870,003,030,003,131,219,492,329,425,485,703,686,143,514,797,366,637,
833,056,664,586,523,768,659,389,434,064,318,034,888,933,919,543,912,625,766,
671,282,385,506,054,871,366,907,641,238,255,556,298,534,820,515,446,892,266,
038,971,355,708,531,281,344,783,021,873,506,681,209,761,481,187,807,790,490,
846,006,844,923,309,902,159,793,910,673,436,834,564,332,987,145,315,067,604,
305,882,268,651,800,673,552,999,743,471,185,110,501,522,753,831,440,403,105,
412,675,288,310,619,222,984,699,773,568,198,881,627,321,008,994,114,372,485,
529,622,303,168,608,647,519,381,740,605,847,128,426,888,118,210,512,204,449,
488,348,938,807,058,544,231,089,804,862,119,203,552,444,379,905,908,057,236,
369,458,989,967,040,900,629,178,547,235,190,323,190,791,759,005,611,294,857,
723,922,835,155,760,531,382,276,115,088,063,178,477,799,176,609,392,738,761,
787,690,580,570,554,546,273,221,836,374,194,028,809,139,048,981,075,001,648,
710,197,012,205,395,773,174,157,552,007,215,861,423,041,403,932,775,030,536,
132,020,288,079,940,396,920,897,562,269,251,561,098,824,736,528,519,465,156,
473,990,126,987,487,853,857,315,661,607,477,485,900,354,866,705,471,318,476,
634,813,490,736,810,662,847,546,794,740,039,006,047,002,044,673,624,573,750,
725,503,150,780,180,873,476,335,502,739,467,144,032,497,335,210,185,856,962,
994,018,290,298,362,645,954,852,227,454,604,215,121,395,399,795,980,981,442,
272,997,108,322,716,813,647,251,050,558,327,254,573,828,740,039,852,662,142,
937,162,146,087,298,431,959,724,783,212,465,808,817,710,588,487,598,445,884,
133,949,313,339,833,889,372,121,653,019,678,707,016,633,606,943,580,209,742,
198,231,867,533,572,784,427,337,501,431,855,626,961,937,009,123,109,436,210,
514,178,121,859,247,193,081,542,319,788,479,096,114,049,227,478,919,868,140,
489,014,800,906,188,882,739,270,631,204,190,263,322,700,860,549,613,717,270,
998,981,729,871,547,349,807,228,687,563,339,349,205,169,371,428,078,324,855,
412,569,801,288,516,342,611,855,714,481,424,660,114,587,869,141,344,719,595,
538,790,023,937,479,460,293,941,061,792,282,688,817,272,189,698,397,341,983,
245,968,823,864,169,811,183,211,609,886,211,703,857,250,701,592,519,434,091,
524,331,011,486,045,393,933,679,257,682,935,860,703,821,608,238,984,513,149,
039,388,468,890,719,634,615,018,095,120,394,381,388,338,109,793,969,576,739,
144,799,441,797,251,122,138,694,753,645,374,789,958,147,045,111,001,558,893,
919,630,108,161,867,384,837,183,014,575,596,507,113,014,898,659,482,674,003,
342,469,731,036,972,191,384,217,037,526,415,454,620,246,375,571,296,120,984,
012,056,613,984,501,681,608,597,114,534,740,858,355,658,808,332,692,814,214,
043,482,462,476,787,434,274,130,716,315,393,062,228,866,362,184,302,011,258,
584,849,651,270,328,238,811,790,040,803,844,192,760,155,940,855,781,461,549,
523,677,809,279,992,240,097,683,029,423,160,313,478,577,258,280,543,697,408,
137,780,027,762,620,134,906,486,826,574,216,122,018,644,281,939,098,327,021,
024,916,674,991,185,550,294,473,266,460,818,273,019,697,767,654,088,355,187,
621,899,690,232,251,168,255,943,943,291,388,252,390,177,261,893,070,816,346,
768,591,434,066,255,371,383,195,952,700,295,408,413,796,998,959,658,097,678,
791,600,039,930,721,504,441,047,620,347,223,275,852,540,873,966,267,664,483,
583,115,594,799,234,861,455,460,641,046,441,434,902,090,741,868,715,407,574,
875,557,896,201,763,637,487,924,605,921,582,740,996,184,745,147,878,492,799,
959,130,216,696,911,549,053,150,826,391,089,203,501,476,663,432,900,017,152,
649,847,326,640,987,469,621,578,587,060,933,724,272,248,701,688,284,182,378,
282,530,534,039,920,126,342,700,449,929,904,545,142,877,534,145,297,922,833,
061,495,465,602,914,059,173,791,747,580,600,602,620,279,806,273,029,254,511,
813,414,420,714,866,158,947,778,796,647,763,994,296,667,897,878,296,655,536,
356,221,409,253,198,055,323,743,942,491,331,971,290,698,744,916,331,214,383,
935,036,113,585,215,907,291,587,720,708,305,695,253,581,176,034,557,450,631,
597,570,646,838,305,806,820,009,282,072,261,605,444,482,486,274,681,230,187,
998,610,437,483,444,519,114,826,930,473,920,652,232,875,833,516,513,109,151,
401,142,422,695,345,743,065,492,392,825,911,957,917,115,461,594,924,054,375,
584,096,364,973,476,003,534,072,569,300,401,558,210,745,281,106,916,767,605,
719,955,157,588,278,590,733,572,220,428,624,446,255,898,406,468,689,547,756,
043,794,376,263,504,338,541,495,961,223,637,636,661,027,786,340,447,251,803,
650,667,825,153,037,879,141,688,245,162,594,852,000,709,815,330,722,328,863,
777,773,130,330,604,694,568,489,623,249,272,666,566,784,350,454,644,893,801,
622,375,553,113,109,784,604,658,986,700,659,175,135,396,344,170,405,464,794,
652,266,093,722,430,994,880,592,104,497,516,562,472,764,803,761,428,306,100,
629,269,892,443,896,845,110,931,840,425,426,698,818,783,015,099,220,863,678,
601,614,085,603,085,364,268,562,279,607,732,146,703,694,313,706,608,153,623,
764,690,428,917,767,260,335,457,194,198,600,250,498,771,442,678,887,269,672,
825,254,761,371,614,099,569,657,329,005,251,937,616,990,585,374,535,192,572,
623,501,532,571,572,229,721,629,565,423,104,220,721,991,249,427,537,790,672,
201,007,333,200,524,392,192,456,006,279,364,414,842,923,391,900,274,389,963,
180,196,647,917,611,589,510,112,216,747,776,307,435,639,667,866,453,714,965,
827,753,995,962,319,837,984,445,394,965,866,872,769,715,921,480,957,601,681,
674,266,909,849,333,985,013,043,601,207,621,388,560,533,664,366,741,786,804,
473,795,226,872,561,501,800,019,622,569,318,184,326,148,692,740,669,691,190,
051,162,802,673,183,571,574,649,319,035,827,134,089,179,238,297,205,410,710,
109,198,557,305,264,627,688,882,313,718,238,867,851,775,738,696,808,408,189,
426,516,680,534,747,932,788,480,515,712,760,547,449,700,263,797,612,131,808,
698,428,730,770,999,553,045,519,353,785,045,728,509,677,056,349,987,580,197,
418,989,968,566,434,638,732,929,726,413,399,465,377,710,933,427,130,815,891,
359,421,663,043,502,890,971,587,143,534,900,350,767,763,083,153,405,437,614,
518,662,173,280,535,432,964,740,564,297,527,968,619,745,535,014,847,755,738,
546,743,993,325,863,454,192,323,440,197,041,326,038,879,996,344,443,136,984,
410,705,281,120,144,830,293,565,427,250,665,941,865,167,497,187,760,533,773,
711,723,996,550,458,888,078,683,545,636,089,996,670,866,866,945,206,778,605,
521,459,116,764,851,120,272,999,384,465,583,437,769,957,496,823,446,971,458,
884,765,901,567,883,679,497,338,279,521,255,603,400,861,171,549,279,539,181,
419,374,422,700,955,949,023,064,151,913,800,201,771,852,481,493,282,475,517,
858,088,807,767,096,242,683,982,805,332,534,631,506,592,392,413,755,927,327,
782,243,055,285,427,694,097,599,530,147,800,574,623,001,282,753,547,495,606,
469,822,343,013,439,076,334,693,124,193,472,885,881,204,104,358,761,054,776,
494,636,773,490,223,382,530,014,066,241,935,275,858,460,012,355,057,246,471,
796,714,065,261,284,397,579,729,721,802,832,348,734,499,806,352,911,382,000,
404,085,442,754,071,000,788,082,393,767,930,238,948,319,483,741,531,131,530,
545,721,158,871,826,763,521,441,746,328,694,091,976,324,845,772,735,247,480,
918,557,832,347,305,660,284,005,084,626,003,133,931,908,001,544,529,149,268,
118,371,320,388,798,098,469,531,920,951,303,113,386,317,731,956,096,418,441,
589,729,166,806,244,378,183,916,534,232,675,864,149,120,614,602,348,325,720,
992,128,406,973,872,321,326,306,345,614,608,401,401,985,191,678,998,877,929,
206,187,140,157,155,613,261,284,096,777,808,454,212,219,495,299,303,986,292,
352,632,134,855,830,688,434,959,729,883,658,123,828,291,388,045,809,198,622,
700,954,738,965,976,409,451,573,114,564,215,720,525,533,245,239,984,061,535,
466,588,826,170,186,871,836,375,411,415,790,733,463,030,012,286,309,883,584,
849,733,982,183,427,730,637,022,661,873,248,663,602,550,264,307,252,626,796,
982,874,031,667,239,414,093,905,009,206,880,183,041,171,399,147,419,089,941,
939,224,477,090,976,315,758,663,398,257,613,964,332,544,435,124,067,834,165,
020,851,468,218,253,295,128,431,651,354,496,158,395,482,412,009,312,539,155,
638,205,904,010,248,100,856,197,616,459,005,450,987,412,329,034,999,209,705,
864,435,729,612,613,061,803,392,814,623,622,236,363,518,715,122,082,848,139,
504,194,786,716,540,666,014,206,374,002,641,052,122,864,162,218,545,359,384,
229,881,557,958,004,595,521,617,669,644,802,644,291,170,549,934,799,054,406,
206,476,467,166,795,471,316,704,054,602,771,820,080,455,845,139,627,358,561,
267,806,241,286,513,550,343,514,423,562,876,376,695,079,631,641,250,354,847,
458,816,915,461,659,090,588,242,888,106,541,291,073,733,766,793,488,601,851,
849,710,574,569,657,912,896,660,409,125,732,624,410,190,668,124,076,967,442,
683,870,470,913,348,972,654,990,347,518,009,300,415,459,841,155,257,230,650,
037,370,670,310,338,872,591,834,609,494,011,245,034,507,191,119,478,691,435,
980,388,031,231,820,317,110,201,573,524,603,520,665,269,786,098,403,423,990,
972,352,315,942,499,534,767,169,831,943,038,013,884,365,637,138,681,860,059,
876,021,219,256,713,201,939,018,445,370,561,458,763,401,722,894,406,979,777,
874,621,425,203,951,133,508,443,341,471,934,186,895,451,841,101,275,699,139,
418,074,651,951,027,546,938,240,398,718,577,366,342,582,106,081,391,968,077,
089,507,398,130,414,660,041,013,095,740,568,520,659,319,734,890,965,984,010,
357,965,859,120,950,735,655,687,485,085,016,467,709,059,001,801,165,829,275,
885,715,485,895,504,450,067,846,124,783,421,417,948,335,843,798,905,661,681,
072,628,115,422,737,731,893,835,784,045,472,546,374,563,769,658,131,910,305,
010,927,495,651,594,921,794,170,503,643,925,519,054,123,896,478,262,765,718,
628,282,342,913,874,800,298,967,554,247,116,854,293,656,299,692,411,742,194,
066,728,933,529,500,376,806,324,352,799,879,945,214,820,924,315,394,023,526,
313,630,240,478,237,311,655,963,999,704,534,208,240,702,220,419,609,304,105,
523,871,510,185,214,123,721,874,413,801,096,019,838,311,784,652,608,255,222,
377,777,251,748,709,369,031,836,237,879,443,037,327,754,004,028,540,012,351,
836,370,693,827,772,631,198,132,295,416,790,804,320,159,049,225,959,545,862,
621,300,352,009,680,438,679,633,287,709,763,257,071,708,622,761,778,148,854,
123,528,325,674,512,561,291,237,094,448,381,238,456,990,819,376,806,725,691,
290,732,710,713,576,181,896,772,490,490,301,293,577,134,157,612,100,348,078,
974,740,083,379,830,492,528,892,259,505,036,691,140,277,959,100,453,609,998,
252,581,585,137,084,832,237,181,321,421,362,741,959,246,481,187,923,162,207,
192,810,826,226,316,445,420,206,835,935,448,979,828,985,029,168,962,875,546,
695,914,124,502,835,824,882,781,986,882,546,859,634,349,041,954,238,789,337,
692,949,408,807,453,017,357,715,893,584,160,625,710,983,041,773,583,162,819,
494,261,337,596,931,932,605,510,441,536,005,062,368,491,294,889,572,441,970,
470,125,238,900,408,495,242,956,010,820,937,388,408,630,933,967,101,455,772,
859,683,433,794,971,222,954,807,741,030,860,538,067,285,081,222,768,789,756,
374,169,278,709,430,553,165,591,860,722,082,156,078,575,587,754,663,680,621,
432,668,560,727,610,559,185,775,458,857,136,994,694,084,672,420,567,211,806,
444,714,744,998,697,004,132,271,021,014,062,232,536,969,760,771,165,920,266,
069,620,657,323,205,704,968,833,395,374,440,163,980,355,616,161,447,815,295,
153,232,252,002,830,974,137,047,623,555,015,268,633,442,717,067,558,843,702,
512,825,937,485,624,065,861,686,888,165,560,851,527,669,949,474,776,768,417,
646,744,726,171,643,825,746,143,677,442,257,832,043,547,893,952,825,275,560,
985,139,095,165,022,327,011,960,021,777,801,480,505,035,297,057,527,325,243,
177,474,285,745,238,403,591,545,689,854,778,052,060,261,516,584,390,888,165,
629,794,844,041,978,552,030,787,993,088,099,924,678,487,018,934,043,454,603,
754,076,364,888,485,122,591,290,614,919,049,321,092,224,987,311,263,909,998,
656,608,692,009,697,173,031,934,606,648,156,064,205,420,745,002,824,151,899,
708,157,774,593,695,878,862,760,483,316,939,435,509,074,072,638,125,287,506,
474,950,792,650,521,267,760,913,860,572,156,585,591,164,079,976,949,123,949,
615,917,141,728,786,200,655,518,528,380,879,722,308,429,597,102,308,519,974,
871,456,769,923,795,078,220,167,370,386,776,220,993,370,361,377,394,965,454,
177,928,592,164,700,172,989,416,245,366,896,339,130,883,825,687,426,735,515,
451,924,415,447,153,414,786,596,167,416,935,735,105,925,382,951,726,926,540,
262,164,580,061,649,216,016,770,295,890,036,739,580,360,299,679,345,947,423,
512,529,752,902,950,599,139,115,447,210,791,745,231,257,388,320,816,094,315,
959,646,439,890,398,109,032,127,790,040,783,909,275,424,657,037,042,892,130,
556,378,875,691,981,601,050,023,904,591,618,647,780,577,410,478,648,765,076,
846,803,498,356,246,665,068,058,824,430,456,650,428,568,941,323,215,140,421,
868,644,253,585,197,827,013,648,596,225,816,812,863,542,352,135,295,534,033,
020,229,379,696,686,262,303,515,834,732,067,547,847,419,765,075,176,722,544,
625,583,368,701,483,854,568,334,440,140,139,317,215,283,870,246,138,040,813,
692,334,160,933,055,233,014,886,096,683,952,189,504,340,257,424,830,426,748,
410,776,897,680,849,159,291,322,517,833,541,445,196,592,328,094,431,289,968,
085,109,523,977,125,944,408,797,649,536,812,466,451,794,001,188,918,060,522,
590,462,401,730,729,900,233,788,334,193,055,997,022,940,211,094,957,607,711,
174,770,085,930,320,005,143,078,965,907,490,942,004,137,019,375,902,762,038,
389,112,854,068,800,868,943,513,479,908,247,721,511,691,054,324,393,849,358,
501,178,202,896,547,958,524,971,163,062,321,266,307,561,005,395,462,997,099,
798,912,107,396,954,042,686,991,664,195,479,083,761,823,819,290,556,896,707,
150,504,035,207,992,674,390,718,380,716,063,012,028,702,400,657,943,059,178,
323,587,314,534,279,772,610,844,188,241,052,600,479,015,086,259,460,210,971,
540,624,812,935,336,350,262,815,044,150,925,859,767,824,493,937,165,824,508,
198,708,640,637,898,518,294,291,864,733,425,045,365,688,468,598,184,196,001,
825,270,495,574,230,001,025,343,561,279,140,478,548,372,541,727,609,428,995,
485,104,425,332,651,345,618,928,080,116,602,494,784,822,343,318,508,288,659,
873,144,486,462,038,365,391,796,400,662,505,498,541,865,101,503,400,472,923,
460,977,485,890,907,790,441,141,976,988,241,393,667,556,259,179,554,348,361,
414,839,084,205,787,394,687,755,240,102,005,854,037,607,601,565,450,259,617,
790,464,504,305,458,827,832,772,577,932,158,661,805,691,863,854,931,759,014,
866,105,271,875,646,783,522,128,995,269,013,932,694,069,750,723,347,640,608,
835,407,090,451,318,499,003,030,822,792,620,731,362,166,392,011,324,404,104,
460,459,575,943,385,065,559,542,741,372,579,562,276,643,651,061,764,311,862,
126,252,550,463,126,804,340,946,400,114,953,110,506,436,404,439,993,700,851,
071,818,907,182,937,718,387,779,940,842,268,543,929,703,964,054,091,479,532,
592,056,651,672,078,023,336,514,111,008,571,907,914,196,868,850,331,919,762,
893,708,285,226,967,247,331,368,942,801,270,445,711,455,655,972,299,568,753,
915,460,944,374,463,922,098,933,594,346,755,692,952,668,724,957,313,594,176,
939,311,506,559,627,853,794,043,864,299,241,003,051,227,288,528,762,195,243,
778,563,953,915,374,912,930,216,727,921,080,674,146,625,401,180,584,478,888,
438,877,747,599,895,988,256,175,295,728,309,792,836,685,403,175,294,153,842,
063,988,421,755,150,668,245,068,138,846,837,196,296,965,673,396,843,190,156,
143,268,884,636,052,755,209,815,335,082,570,864,781,901,851,047,653,207,771,
079,858,559,916,236,001,241,170,041,108,529,852,810,305,600,824,440,187,174,
136,973,527,041,968,347,704,812,812,404,334,110,710,361,156,132,914,791,064,
315,400,082,717,548,645,256,263,449,775,167,047,078,380,408,700,696,638,075,
499,952,680,821,378,423,705,701,804,212,183,532,802,100,895,572,529,385,789,
846,514,023,214,912,718,321,536,737,562,420,556,733,143,489,280,292,197,381,
241,720,182,403,364,978,476,709,985,877,183,936,479,883,162,463,246,114,835,
908,937,618,010,188,961,605,924,683,012,853,162,716,105,988,197,517,967,296,
396,399,457,431,779,983,473,903,268,456,916,368,174,933,020,126,804,295,470,
108,026,723,575,481,035,985,427,002,846,511,538,107,384,686,704,228,915,029,
468,840,287,619,457,638,920,351,588,996,458,226,506,833,693,808,064,672,460,
053,926,794,536,958,360,427,258,640,509,427,079,719,670,461,320,698,760,518,
365,268,594,662,768,389,148,447,476,065,348,409,675,019,134,048,710,923,936,
421,033,995,415,522,237,221,187,368,649,608,125,701,911,763,330,451,990,087,
830,960,231,575,957,358,915,880,512,129,730,430,722,796,882,064,800,862,798,
151,219,292,810,261,018,743,043,785,142,082,962,289,314,666,312,053,296,896,
008,660,605,977,544,391,586,236,943,480,866,578,768,636,740,692,292,182,522,
563,088,609,002,212,725,862,848,548,490,798,255,666,544,932,792,167,530,494,
177,322,032,261,537,992,170,392,369,510,797,336,362,280,286,469,007,782,487,
047,896,891,017,426,885,959,657,040,841,758,592,365,688,079,459,473,047,512,
634,856,843,324,775,170,239,837,925,221,947,160,400,944,609,335,851,746,069,
728,346,346,484,491,318,570,242,764,083,227,860,402,441,875,636,063,029,148,
843,058,528,400,682,904,296,696,213,451,545,887,922,240,061,909,398,469,251,
837,737,213,798,548,407,537,949,243,207,996,748,260,979,365,805,221,417,974,
209,846,491,515,640,552,161,016,946,365,717,108,411,772,146,431,900,426,429,
333,650,572,842,955,039,067,952,368,141,416,429,405,162,625,010,856,229,798,
783,355,718,316,789,399,955,527,385,467,577,898,236,642,436,097,118,320,599,
233,920,848,585,983,065,975,633,437,666,506,380,066,033,869,823,648,415,762,
979,376,614,151,707,473,712,169,657,070,383,224,770,464,308,107,640,436,778,
927,166,495,691,798,413,071,373,514,521,028,337,192,616,909,445,624,427,446,
601,061,587,000,390,039,090,441,774,779,776,218,497,349,007,468,094,837,974,
788,820,262,643,935,592,820,485,288,731,057,252,238,396,161,035,621,855,610,
125,123,854,432,106,184,610,051,435,845,561,254,078,814,403,748,057,400,476,
954,038,525,622,989,909,918,304,917,919,871,447,957,865,426,395,448,213,242,
477,149,330,742,800,317,260,737,588,994,708,781,760,677,668,351,755,913,995,
612,406,716,942,557,401,106,930,800,568,549,794,399,725,458,754,261,781,702,
037,078,740,776,431,265,477,391,523,674,922,307,719,791,747,777,156,255,830,
285,779,225,401,732,617,367,007,756,492,190,602,239,340,437,106,680,309,328,
040,966,293,618,493,704,145,138,111,772,811,506,277,900,529,983,523,483,314,
638,906,174,014,930,767,339,952,035,861,784,596,767,022,434,600,478,295,287,
397,541,607,184,907,518,335,001,245,237,306,124,361,307,698,371,371,596,392,
558,008,493,511,885,196,925,975,362,655,568,289,288,389,313,938,177,814,561,
545,214,154,488,831,453,018,747,855,064,646,938,554,093,014,988,558,700,229,
888,960,611,642,894,686,690,334,786,273,163,445,831,704,614,355,009,416,321,
357,070,918,077,541,210,853,312,930,835,718,489,127,580,969,508,950,717,617,
084,868,119,771,903,474,020,836,091,891,785,785,030,211,069,622,295,088,685,
972,684,639,117,033,837,058,785,252,463,642,169,431,227,527,511,614,660,793,
916,993,546,849,850,112,548,179,624,672,356,407,775,270,466,887,763,554,432,
355,380,049,374,316,135,694,422,484,086,409,261,634,243,426,518,671,656,162,
811,786,544,542,554,227,535,556,227,571,507,748,960,361,403,465,161,873,069,
860,092,134,209,179,246,802,619,528,587,178,242,581,884,424,404,869,502,287,
037,549,932,419,273,024,472,588,069,508,614,857,636,179,410,232,218,229,260,
741,703,734,207,843,463,580,904,266,875,276,734,389,909,342,596,561,025,628,
957,027,912,845,357,168,690,027,068,570,734,318,613,761,983,772,874,198,173,
903,039,983,593,963,035,048,001,362,108,960,525,312,766,146,902,539,963,698,
765,297,588,464,522,773,888,691,186,433,713,674,136,175,247,063,397,970,035,
077,839,273,452,800,108,168,621,477,201,003,255,393,374,628,617,416,678,870,
032,523,927,669,854,905,763,362,823,953,452,402,821,536,851,279,143,952,713,
367,970,964,899,193,283,778,579,992,855,162,740,625,906,722,977,120,020,845,
087,499,823,776,302,470,369,467,884,165,051,378,506,132,436,642,298,786,736,
311,370,311,568,825,907,515,307,486,709,901,815,511,657,161,079,568,771,133,
155,450,142,982,709,573,316,108,849,924,046,348,757,261,449,277,159,714,699,
295,762,054,867,609,977,749,491,448,322,740,435,420,189,553,110,650,733,156,
383,396,252,066,060,592,843,882,439,679,115,606,595,271,556,042,014,560,123,
369,860,151,279,098,439,145,158,679,588,775,951,137,011,635,448,796,002,839,
425,581,668,861,261,066,789,503,813,886,779,825,439,041,439,621,486,589,208,
065,040,744,624,035,268,642,379,872,967,240,457,368,252,388,644,653,272,250,
222,536,506,074,717,518,203,026,012,638,792,163,875,111,649,812,009,013,300,
181,927,385,669,552,155,720,301,845,725,382,621,674,312,975,945,477,657,904,
941,633,020,471,939,544,379,851,466,924,326,485,357,711,962,712,086,280,885,
655,907,591,044,763,861,209,087,540,971,868,772,247,766,781,729,086,582,454,
836,114,560,185,994,749,518,854,995,943,850,522,755,832,801,293,275,268,203,
648,177,039,364,504,523,134,918,964,892,112,805,830,204,861,762,822,822,481,
116,853,558,082,549,106,348,059,090,771,288,532,406,962,734,636,956,723,177,
246,234,230,366,801,159,322,013,411,502,708,550,939,406,572,175,770,342,085,
734,059,726,191,770,391,973,720,373,735,848,206,290,751,404,069,146,391,027,
573,337,420,712,772,217,738,999,238,217,529,697,491,991,937,079,970,840,440,
488,080,087,115,124,545,839,766,819,666,838,028,596,695,287,012,086,679,054,
688,443,139,927,310,693,851,257,841,292,682,754,966,750,699,818,220,083,942,
116,524,020,515,484,479,501,631,868,306,302,284,495,114,296,636,917,067,514,
398,162,166,288,414,909,765,505,816,474,607,859,187,951,505,042,367,237,923,
131,704,881,000,700,784,294,409,800,031,652,315,499,531,267,233,915,136,759,
592,841,486,411,248,899,070,471,125,843,124,859,892,540,013,626,303,955,087,
716,245,766,247,783,042,550,119,091,580,600,819,596,609,044,299,856,533,345,
569,949,225,924,052,092,803,699,505,384,762,431,987,409,989,570,462,153,460,
486,547,448,125,422,543,880,286,328,863,313,276,758,325,572,348,907,569,557,
150,537,148,991,104,462,209,819,141,872,727,258,551,756,290,906,960,145,022,
071,983,152,037,565,208,243,368,310,535,674,040,379,118,945,282,917,790,550,
633,817,581,058,472,392,484,313,932,402,374,356,837,964,854,685,283,683,949,
900,475,261,763,437,354,119,150,433,136,718,456,804,502,151,419,558,775,182,
705,401,084,669,553,288,027,583,630,576,977,440,926,253,487,748,711,603,627,
987,903,609,105,984,082,514,739,417,255,448,538,562,097,506,351,398,637,681,
170,212,186,841,706,366,294,481,886,494,300,299,762,728,370,261,761,133,562,
417,668,673,592,200,127,300,817,820,830,041,478,435,567,729,200,020,905,724,
741,906,923,268,848,426,728,810,041,803,169,086,882,619,894,229,643,027,190,
658,236,501,414,184,240,799,880,953,014,775,191,398,801,811,682,214,417,572,
273,770,790,387,364,616,480,814,531,804,907,359,606,935,188,281,599,671,147,
052,145,527,925,493,306,818,159,163,457,938,852,740,942,379,926,258,085,005,
759,766,612,092,008,613,569,270,857,686,537,516,419,978,366,225,722,765,464,
169,288,338,600,715,380,084,246,216,955,866,883,996,819,791,372,912,441,610,
207,537,974,868,617,010,457,878,688,600,198,348,265,004,190,026,986,795,789,
685,005,319,610,411,338,029,568,110,928,006,374,754,031,790,563,932,855,184,
662,465,436,683,503,281,961,920,765,459,944,431,276,260,702,466,632,184,075,
029,641,606,227,355,881,109,862,044,856,542,894,267,371,708,025,258,300,361,
532,272,406,363,515,449,069,658,302,689,713,966,527,493,201,660,928,190,383,
199,356,812,663,740,911,037,751,865,238,740,732,379,190,361,162,240,464,488,
444,817,402,966,546,690,985,194,156,329,368,845,498,747,651,636,735,895,147,
453,170,077,102,764,994,517,438,707,935,119,877,173,566,984,756,946,489,931,
509,236,740,942,566,438,923,476,840,325,237,797,305,120,721,208,496,441,277,
135,171,255,223,333,820,281,535,931,535,962,049,048,382,258,144,857,353,929,
442,613,008,708,582,613,680,525,311,481,965,387,042,947,395,109,976,246,861,
289,179,369,334,471,536,080,407,165,087,361,007,413,351,061,716,276,035,010,
364,823,978,636,415,732,392,737,846,602,313,463,769,011,310,189,085,117,777,
734,247,789,356,852,930,583,607,438,954,148,579,223,940,489,536,710,885,685,
735,908,630,962,610,339,550,431,045,759,507,891,766,477,428,393,620,106,861,
999,147,329,722,096,469,054,832,831,838,469,826,141,815,020,537,185,469,431,
614,831,651,516,374,861,487,313,843,691,832,424,297,094,079,417,717,821,604,
622,541,750,990,777,622,237,973,348,676,987,019,163,809,382,958,287,341,726,
529,364,258,098,121,605,194,726,851,125,952,575,154,929,228,165,266,478,751,
248,720,162,193,985,106,324,480,440,156,288,785,095,809,841,665,537,414,629,
222,718,386,784,796,941,836,106,888,112,881,467,525,481,780,630,153,336,932,
317,727,630,898,749,389,691,527,440,210,594,908,606,443,046,820,981,015,785,
989,205,112,707,137,440,838,207,885,320,837,710,548,845,469,124,187,549,357,
196,450,277,119,367,483,144,374,557,958,034,833,140,157,404,746,831,689,908,
575,180,905,751,961,872,571,092,175,422,171,267,566,929,859,076,522,635,579,
083,243,428,879,116,350,460,816,375,147,234,741,852,732,108,800,967,725,833,
661,296,559,401,479,862,640,047,100,553,449,084,719,642,049,346,925,054,768,
664,212,674,794,189,279,199,710,601,936,316,957,330,417,741,343,106,064,342,
618,129,140,949,420,597,994,811,287,915,618,435,815,165,102,469,836,492,636,
455,470,134,961,426,944,794,640,138,285,484,572,644,904,815,889,210,007,824,
059,867,370,054,771,026,125,458,481,468,923,149,611,337,203,316,497,335,890,
306,322,230,691,878,967,172,439,642,231,015,437,955,346,388,560,612,774,521,
255,218,231,585,413,235,620,284,738,532,484,373,022,341,964,726,697,692,826,
168,787,481,615,033,588,298,894,538,273,275,947,213,019,284,624,995,629,225,
834,680,315,006,726,334,254,274,874,089,487,814,520,759,593,459,882,077,226,
920,711,661,353,527,732,878,913,804,582,945,847,553,490,190,832,298,011,447,
702,548,453,177,242,174,205,967,397,163,993,484,456,101,389,331,254,121,718,
308,904,071,611,412,169,140,659,056,993,729,866,062,058,948,791,260,048,597,
975,962,823,560,721,164,216,567,887,978,958,682,040,386,922,893,273,315,030,
887,690,650,507,936,180,416,454,362,991,625,603,474,190,266,467,332,731,676,
373,343,875,649,684,223,930,864,353,838,201,554,566,696,930,326,530,966,479,
601,125,756,202,016,995,433,559,746,256,802,680,142,692,869,862,571,463,207,
647,731,077,998,215,432,535,462,366,697,332,054,223,899,912,551,287,383,534,
693,904,154,183,585,455,946,507,594,254,176,464,499,926,795,731,199,567,950,
011,554,842,969,632,050,774,167,421,934,037,947,039,255,136,693,327,230,837,
957,051,900,806,508,555,106,760,639,480,239,864,893,202,588,414,886,306,075,
079,089,102,204,692,747,380,298,693,161,842,228,308,099,375,217,119,233,352,
911,307,358,915,214,095,433,601,272,620,848,705,277,804,647,072,999,281,091,
342,067,599,865,064,870,316,733,923,844,263,137,988,024,358,034,847,686,903,
964,951,579,570,359,987,445,746,908,147,781,832,001,739,863,884,376,989,410,
921,000,574,292,277,658,554,433,960,367,750,410,556,413,199,521,000,973,712,
668,648,198,353,594,304,304,275,335,500,942,298,553,524,823,686,328,202,156,
259,452,796,496,703,709,763,249,313,811,321,605,694,259,957,318,364,598,622,
853,511,604,484,471,205,412,553,367,364,681,434,114,585,575,154,467,641,097,
268,483,635,900,177,781,897,744,146,819,254,666,054,333,229,901,031,043,038,
817,988,144,860,265,200,465,515,396,682,733,335,385,516,237,464,930,870,360,
583,685,541,854,692,127,498,306,908,499,345,422,315,442,103,549,337,810,131,
750,747,451,072,045,018,667,621,466,601,498,731,327,154,506,011,617,243,423,
015,443,260,367,310,253,274,702,060,535,374,964,558,609,764,864,405,756,004,
595,705,273,700,093,436,320,072,368,685,021,163,703,219,860,382,867,780,101,
125,940,827,257,696,779,590,584,519,656,992,055,230,873,766,291,252,809,701,
369,332,974,758,862,269,379,280,141,521,993,395,240,616,922,560,789,037,633,
042,508,589,586,425,885,128,405,846,553,339,736,579,868,013,661,250,712,470,
430,975,597,170,870,912,003,787,117,093,778,255,442,650,651,067,692,040,131,
559,539,589,022,820,321,244,725,588,218,868,853,681,391,720,789,208,669,754,
774,863,135,183,060,023,973,806,507,157,045,421,241,109,143,927,297,208,989,
136,057,011,152,406,263,320,122,957,337,855,384,711,973,659,756,797,467,319,
847,661,085,365,879,712,819,143,583,828,912,565,662,360,587,195,945,559,514,
556,819,209,892,119,275,132,188,574,996,990,140,391,888,700,115,354,772,655,
751,767,655,079,558,437,216,159,604,832,855,457,405,870,001,047,840,361,700,
210,048,142,085,738,493,525,090,615,048,945,403,247,172,167,402,343,734,207,
628,788,132,932,657,028,711,592,170,705,472,723,312,828,598,624,841,895,783,
178,083,338,257,874,319,189,641,542,608,762,292,489,155,446,134,659,659,196,
333,616,969,473,210,973,396,132,978,992,554,761,064,344,807,724,175,068,310,
874,144,214,962,930,054,730,665,068,388,185,171,447,515,788,007,335,686,349,
080,850,347,372,800,750,025,838,694,548,225,523,179,895,101,086,543,418,274,
418,267,698,294,032,681,901,033,295,511,664,038,931,758,122,375,255,010,532,
233,708,434,718,359,889,982,190,740,684,197,322,341,958,238,559,958,584,422,
294,118,592,310,260,491,412,628,944,285,371,220,669,466,551,440,659,505,218,
720,409,634,917,888,055,098,145,637,628,633,218,032,990,081,483,801,913,438,
424,800,883,375,614,925,836,625,143,610,718,153,164,696,983,439,158,448,642,
927,490,917,025,844,802,678,828,569,430,652,301,907,580,871,581,223,213,910,
857,335,042,040,103,038,813,559,302,075,196,790,592,305,131,154,537,735,288,
539,490,663,558,022,516,766,822,983,892,818,753,344,945,915,349,942,045,670,
962,647,174,293,292,393,741,560,120,570,279,181,961,986,207,895,097,119,661,
157,374,489,802,735,318,855,482,607,149,949,920,740,199,632,662,454,643,777,
404,033,037,222,534,888,966,873,993,442,202,435,545,889,911,236,956,553,832,
745,851,698,148,533,311,496,306,622,832,659,972,698,918,716,190,332,306,684,
638,883,098,034,665,235,194,662,410,140,376,944,816,642,736,928,105,557,335,
546,143,006,964,330,521,147,046,794,066,275,588,240,456,946,809,691,703,698,
391,664,745,384,060,723,267,837,627,112,992,427,503,619,020,865,195,327,705,
694,057,828,361,519,524,479,163,532,029,032,289,951,456,989,798,655,640,015,
013,223,816,950,411,879,691,671,939,643,438,850,477,520,788,865,310,026,246,
008,262,707,911,226,622,857,296,263,244,168,967,190,358,590,257,731,232,829,
022,519,650,719,251,735,862,890,377,853,444,209,395,096,869,533,243,166,281,
752,808,779,405,965,239,009,700,269,163,705,877,535,116,960,530,068,406,205,
076,580,574,085,827,161,426,918,340,799,679,646,831,127,231,077,186,383,956,
080,234,906,414,839,303,368,920,759,965,884,532,374,050,508,146,691,597,156,
750,510,751,349,607,284,354,240,141,457,038,392,842,161,839,190,724,916,017,
222,985,617,469,087,165,988,588,770,512,551,442,423,795,955,448,703,261,967,
914,827,189,515,812,627,793,516,374,430,057,551,129,200,617,521,455,894,011,
399,490,953,478,043,519,381,018,563,250,046,252,572,098,697,592,057,221,959,
188,160,831,452,743,267,981,899,532,686,369,070,199,589,760,342,813,084,039,
903,773,056,782,795,585,951,492,013,110,579,558,756,082,979,764,264,602,702,
837,530,653,095,146,530,096,931,299,400,158,897,191,341,284,621,767,032,913,
474,888,490,129,256,314,379,689,120,904,424,712,776,629,376,054,945,611,049,
184,568,975,629,657,009,452,790,586,888,405,298,016,698,055,468,848,306,144,
507,915,632,733,398,781,185,338,296,801,880,441,466,945,696,443,583,161,220,
540,717,249,160,210,874,704,565,433,529,489,855,296,220,259,624,107,111,375,
562,949,382,529,130,874,508,787,616,032,883,108,569,794,553,638,358,804,867,
993,043,826,366,944,151,771,699,099,479,568,524,091,353,943,703,672,861,918,
519,987,325,964,690,157,819,683,655,636,552,692,831,415,405,361,950,335,419,
942,614,276,439,992,850,102,416,705,322,124,197,758,952,547,332,787,425,694,
897,362,987,099,935,665,135,209,208,869,511,299,358,015,521,492,798,402,871,
017,077,647,431,613,673,263,494,882,972,046,315,003,214,548,968,542,225,115,
290,338,234,056,140,050,394,578,997,771,025,674,613,147,073,741,774,820,089,
807,759,094,916,392,762,342,992,724,784,077,185,496,597,752,232,039,881,431,
571,449,090,393,179,786,157,927,091,385,834,682,944,646,800,776,439,250,351,
166,879,841,275,262,609,374,425,375,019,217,359,001,008,414,577,629,568,100,
473,826,201,529,215,416,828,226,201,843,760,918,262,852,432,028,454,121,451,
808,839,727,627,248,846,173,164,575,429,443,868,147,849,227,914,140,448,548,
880,876,898,379,350,615,479,956,595,756,085,926,636,009,842,619,096,388,980,
480,746,255,419,879,914,598,823,912,718,257,215,735,715,086,362,430,167,380,
076,959,309,375,146,245,048,070,146,573,166,852,826,243,459,960,707,159,413,
466,889,055,363,169,845,596,196,290,292,150,533,005,729,129,644,862,661,350,
395,067,063,092,324,234,849,912,614,627,638,061,559,142,770,307,700,862,239,
255,072,909,561,777,592,199,176,619,274,754,286,568,506,773,114,204,598,941,
552,020,362,814,457,537,278,802,847,330,918,969,527,183,076,066,526,972,074,
427,358,470,493,634,194,535,019,301,958,335,150,006,943,305,623,028,370,748,
592,916,580,204,050,400,464,515,061,000,709,019,590,652,606,285,920,150,401,
934,158,277,675,692,218,232,637,623,590,787,002,291,975,871,750,229,456,363,
332,270,292,489,843,787,640,371,340,894,979,356,948,810,005,509,357,607,447,
127,933,307,786,543,755,278,050,221,971,068,592,605,798,263,516,472,425,948,
048,527,256,386,497,857,341,856,436,022,365,115,272,600,647,710,423,733,333,
135,293,534,094,694,043,849,404,301,100,436,463,721,194,644,221,957,413,631,
491,181,832,931,176,308,140,716,685,198,810,743,924,830,776,607,087,105,185,
482,496,174,031,633,116,626,199,514,468,315,798,309,277,701,497,828,079,480,
526,993,029,231,811,900,878,534,733,051,816,283,345,446,839,606,719,053,788,
205,202,808,750,908,571,982,048,637,515,693,628,729,435,021,208,130,185,505,
928,048,036,727,487,099,257,952,149,473,114,925,584,832,203,847,792,067,897,
616,929,475,598,003,602,461,478,133,113,099,248,546,523,623,607,146,453,589,
948,421,816,408,767,617,893,135,822,603,850,969,863,564,436,995,693,625,483,
925,563,717,227,029,655,829,966,397,536,907,471,847,898,506,715,899,504,941,
990,818,398,294,075,760,102,566,544,252,093,642,240,746,562,922,703,934,968,
154,997,882,226,576,287,163,512,478,310,985,544,227,369,318,010,138,385,621,
788,485,302,158,965,323,964,266,405,549,808,314,048,690,610,246,126,197,209,
220,180,858,960,282,986,476,664,388,525,706,619,602,954,434,758,891,685,584,
815,963,032,504,309,157,240,023,021,139,732,055,058,515,147,188,893,334,234,
310,702,025,683,720,264,226,695,943,750,149,741,867,754,539,502,016,064,734,
854,024,380,333,508,864,805,634,598,097,482,793,364,158,935,067,590,614,355,
880,342,896,623,752,459,090,055,763,858,640,854,225,130,560,870,498,251,738,
797,892,754,578,111,447,560,259,355,333,678,384,132,205,331,465,904,584,501,
292,781,060,066,604,522,122,287,117,095,220,263,602,210,544,799,365,417,962,
647,322,251,565,969,382,371,287,847,877,603,942,232,707,389,607,530,118,543,
266,523,901,472,850,019,916,603,214,016,851,575,096,192,955,318,725,773,913,
439,561,878,584,939,385,000,898,357,823,922,666,679,766,376,825,610,674,041,
634,428,693,495,985,688,664,318,028,932,355,292,384,620,310,309,460,769,490,
332,106,203,446,353,091,019,426,265,115,886,389,445,677,166,959,121,478,908,
053,482,767,430,615,724,162,364,480,157,589,303,230,841,156,137,888,571,206,
929,363,649,449,332,907,605,385,559,248,143,512,397,483,091,982,244,629,712,
613,886,931,678,733,294,069,114,734,393,271,875,435,205,562,002,472,284,445,
213,032,843,724,273,997,817,426,579,729,921,489,448,891,057,281,969,788,303,
851,796,707,278,598,489,157,194,237,658,468,845,746,361,778,823,536,801,903,
614,792,334,152,929,061,411,125,798,174,865,472,259,804,115,855,297,406,649,
441,522,764,589,990,783,641,352,885,266,613,853,186,217,275,950,453,281,095,
744,408,117,111,165,740,357,475,275,822,076,309,246,922,932,153,876,594,389,
842,004,176,321,603,699,142,130,313,601,867,847,519,370,007,720,556,357,859,
683,444,871,952,337,698,686,419,569,415,686,619,140,500,639,096,187,538,675,
524,908,151,534,315,956,475,591,598,207,472,012,604,340,847,259,410,042,853,
472,644,131,689,963,274,405,727,196,260,439,538,025,861,583,480,552,447,299,
231,636,218,010,675,617,777,703,241,799,175,464,056,130,636,781,259,462,011,
619,943,708,705,986,111,448,464,992,723,392,428,295,413,252,953,749,752,232,
401,900,397,588,382,431,140,678,443,503,388,363,182,086,983,224,176,460,717,
594,355,329,399,312,570,341,714,757,704,851,522,422,582,663,667,218,111,159,
649,395,831,669,384,900,079,198,242,351,633,635,805,853,897,727,793,660,860,
841,234,292,934,281,677,042,370,306,834,741,974,796,734,014,699,485,444,276,
193,854,394,566,866,619,936,710,280,739,140,201,628,811,255,808,801,504,619,
758,357,157,757,503,299,043,752,029,390,484,583,253,271,411,753,241,703,600,
195,824,531,777,888,262,159,307,347,648,625,152,126,137,555,843,272,697,699,
611,941,515,014,723,809,374,966,504,332,755,629,677,308,095,797,928,717,319,
818,012,744,395,925,772,700,196,769,221,904,858,574,810,792,235,266,879,830,
762,117,550,546,367,180,232,067,057,969,059,548,030,816,224,142,433,619,733,
000,229,778,729,806,848,770,297,354,337,522,081,390,495,717,285,771,253,510,
646,158,817,260,429,160,328,715,724,553,550,379,767,511,416,433,721,170,402,
005,010,530,956,997,005,528,572,261,882,295,443,280,048,373,954,052,406,848,
639,604,677,303,663,804,945,767,053,746,933,053,885,653,818,211,063,578,239,
355,260,776,365,691,358,503,977,648,590,159,323,839,639,665,703,952,886,150,
972,073,211,145,494,968,344,480,500,438,762,193,796,743,123,786,637,930,784,
246,285,337,718,416,568,351,009,386,941,751,830,224,052,546,987,487,223,649,
663,680,502,815,713,374,228,360,729,538,199,857,578,025,238,639,776,601,570,
985,144,923,730,674,278,312,665,235,813,874,553,363,326,820,825,169,422,139,
122,811,499,446,114,879,426,700,405,049,146,790,025,130,245,489,350,097,360,
750,165,033,838,067,160,477,499,110,029,828,391,104,466,263,932,545,906,215,
556,752,920,791,125,809,528,340,738,080,008,662,529,653,434,717,012,167,852,
248,427,475,835,615,198,145,360,126,173,183,868,017,750,675,399,592,374,575,
666,654,622,501,928,024,358,948,743,461,268,397,356,250,607,853,480,221,059,
357,548,145,061,718,651,314,164,602,953,497,839,370,217,238,900,324,818,936,
770,272,419,063,762,955,186,063,803,671,363,568,215,873,170,114,850,130,409,
830,144,532,266,131,866,764,111,716,658,873,048,304,050,068,307,095,982,776,
874,175,494,136,641,589,208,793,655,029,251,025,456,335,585,104,911,317,574,
814,625,455,405,998,486,740,391,741,381,855,607,183,056,319,567,302,568,783,
549,737,668,049,087,659,854,186,424,948,478,757,117,121,181,769,339,043,395,
571,548,368,364,814,665,925,580,047,833,419,018,374,681,406,083,754,408,555,
866,075,683,849,310,589,600,375,367,247,436,137,968,473,895,025,652,463,609,
244,968,010,379,172,597,851,543,562,275,671,221,432,509,255,973,483,812,600,
294,837,421,822,628,734,000,462,279,304,171,732,202,279,549,156,698,208,260,
849,659,086,197,162,511,050,777,509,220,789,609,251,809,715,844,235,349,405,
499,590,985,185,634,210,226,832,404,391,644,850,006,002,004,776,657,513,579,
823,172,847,491,708,596,293,971,895,288,574,600,741,184,214,573,028,800,496,
968,297,397,126,274,957,002,967,751,480,694,338,890,372,421,288,123,409,934,
598,528,882,950,744,504,468,321,864,818,733,233,131,011,034,751,053,355,672,
476,794,339,564,785,689,840,153,592,477,229,328,956,973,205,325,411,585,757,
456,048,519,318,245,198,929,748,369,580,739,520,172,157,698,065,830,489,361,
927,239,900,970,332,408,052,792,651,444,232,557,631,597,490,904,963,949,460,
474,844,905,554,046,954,558,683,526,252,871,390,070,173,228,158,277,207,107,
692,249,502,105,770,538,585,083,700,815,772,654,063,959,163,433,266,660,364,
712,675,536,745,004,376,441,495,423,919,037,120,039,461,757,227,546,754,380,
139,571,214,054,322,880,712,644,663,065,193,456,457,410,624,398,437,264,758,
099,835,076,152,190,857,605,148,329,657,038,223,469,495,180,151,528,674,282,
980,643,140,306,190,591,911,115,542,216,670,111,674,832,822,844,091,329,876,
333,647,301,441,625,097,749,548,454,937,669,725,201,507,303,789,623,832,838,
755,286,185,951,560,960,289,518,394,765,110,876,041,380,480,547,931,911,850,
236,296,484,390,581,080,169,358,684,459,546,132,364,635,340,710,629,850,602,
170,623,819,027,572,375,299,573,350,095,197,524,051,739,874,639,210,713,159,
057,531,676,690,173,301,192,655,703,845,803,303,050,342,642,102,679,924,324,
816,429,055,292,535,833,760,015,736,459,310,729,151,170,501,804,395,668,126,
341,530,838,696,644,565,048,828,588,294,479,057,691,655,043,708,664,909,654,
328,918,884,542,274,227,928,928,300,919,886,628,352,136,502,248,959,420,294,
509,563,159,350,910,735,681,077,347,759,688,694,619,512,538,766,537,342,993,
674,791,187,526,417,327,092,382,306,241,065,865,541,877,418,889,515,998,494,
233,309,505,383,489,863,542,111,806,167,093,058,634,663,660,328,217,998,152,
968,930,659,655,702,320,479,894,461,810,836,512,350,011,030,845,669,522,083,
521,197,692,356,916,847,125,688,630,983,525,898,536,751,935,755,652,855,073,
465,764,711,728,605,647,910,855,320,891,081,603,159,500,033,044,649,059,115,
619,187,944,486,691,865,042,269,417,983,460,224,851,733,722,274,707,292,354,
568,447,349,638,134,325,837,027,755,516,074,305,116,141,197,123,744,503,423,
246,318,474,428,935,142,231,129,473,294,427,837,870,835,836,815,088,603,867,
679,552,042,795,231,736,132,243,200,960,559,475,613,244,634,781,656,260,830,
605,461,843,194,099,049,382,050,095,382,679,388,286,310,473,168,026,429,128,
988,228,489,230,549,345,430,224,434,877,618,527,252,170,762,567,080,767,643,
566,613,218,248,916,360,477,815,344,370,336,421,619,319,172,330,257,218,111,
035,452,821,963,824,131,735,491,453,918,760,610,578,057,264,835,770,939,814,
011,265,002,390,161,273,123,486,154,166,772,454,218,698,070,369,306,681,724,
982,508,380,054,900,186,786,184,631,221,717,169,648,697,018,514,326,536,555,
768,864,588,698,242,354,788,297,655,044,464,749,338,861,274,344,197,963,212,
006,036,455,538,858,670,689,229,172,845,208,015,102,017,898,696,903,034,682,
652,518,253,188,585,579,803,488,235,959,471,840,987,402,444,437,610,706,648,
684,697,406,309,964,701,081,098,722,762,323,526,849,984,291,641,557,723,768,
442,351,299,256,440,657,459,919,198,343,460,900,475,895,286,922,825,616,114,
044,051,429,320,224,356,097,958,840,920,699,741,060,997,310,160,372,658,790,
790,220,725,754,348,158,530,070,653,558,843,729,467,026,298,774,370,205,907,
670,963,764,232,667,533,274,217,331,952,072,084,751,693,956,602,473,818,908,
638,356,035,150,746,168,793,210,958,480,823,534,450,597,447,431,981,038,364,
310,775,224,291,187,802,265,054,796,547,338,288,337,480,444,841,813,675,487,
275,326,743,768,726,649,428,286,029,679,971,232,869,779,134,659,251,499,360,
177,568,072,092,846,959,460,253,419,464,393,582,962,715,477,309,278,894,056,
381,252,016,845,708,049,813,365,025,203,813,636,340,525,611,195,995,615,166,
421,206,285,853,055,356,476,578,209,269,589,051,953,759,225,175,181,979,648,
769,914,626,107,854,860,753,431,527,317,649,275,554,795,230,396,764,873,275,
500,083,348,855,983,819,123,623,046,689,601,921,509,438,654,440,805,231,091,
032,306,113,313,446,679,013,824,277,844,484,283,730,253,747,147,127,465,151,
556,975,757,276,399,951,703,081,024,713,092,254,398,597,938,604,363,055,792,
075,496,357,853,229,104,979,096,940,003,522,644,986,752,428,301,836,813,098,
005,329,497,238,464,974,505,006,389,581,889,402,011,979,316,956,521,169,640,
171,911,960,176,579,971,633,064,380,906,633,857,469,514,175,182,921,370,411,
738,998,848,866,895,138,811,182,213,570,835,344,363,051,333,756,366,621,414,
134,392,568,472,207,928,281,243,924,200,845,240,760,982,655,456,886,033,658,
895,475,798,464,552,841,206,648,888,239,607,845,918,843,258,564,162,121,773,
971,221,320,022,864,668,130,776,295,893,835,456,141,539,412,355,870,259,937,
644,836,016,017,342,783,022,604,155,656,693,851,114,639,259,868,161,574,172,
899,565,071,354,940,971,845,554,959,586,886,785,689,644,276,049,667,652,199,
411,846,060,458,545,829,943,769,734,252,231,219,511,117,020,786,432,543,581,
509,570,932,946,656,981,138,972,829,634,020,639,121,333,704,496,995,947,999,
375,426,060,459,477,980,082,879,475,816,550,214,121,039,136,012,240,965,019,
502,057,335,267,963,124,073,042,142,847,805,462,983,973,964,112,798,983,488,
463,307,476,753,467,357,277,885,670,588,981,699,623,157,510,067,113,223,306,
772,450,286,977,971,691,600,500,571,468,514,652,376,964,280,944,170,639,889,
621,705,765,749,017,447,154,553,100,725,159,149,334,382,063,373,406,967,063,
606,023,675,584,219,243,223,625,200,214,821,595,439,352,225,123,637,597,679,
893,507,994,543,096,200,292,056,562,902,977,762,889,016,635,764,780,063,205,
898,572,044,722,378,839,953,527,346,544,302,851,446,265,999,099,228,687,494,
364,722,577,858,649,224,701,314,349,380,380,542,389,471,468,448,846,946,966,
893,204,316,370,987,633,610,542,157,513,696,111,258,809,927,778,548,232,564,
306,324,331,040,507,208,020,204,809,240,891,490,096,559,517,870,941,297,775,
064,529,556,138,406,357,914,913,099,413,231,032,114,170,899,438,707,036,910,
319,909,245,238,038,615,249,277,709,596,169,315,752,800,890,209,759,538,410,
597,224,548,778,890,447,397,695,740,722,580,902,049,071,023,493,289,097,044,
585,946,719,100,968,513,344,635,244,976,374,463,455,390,086,952,755,046,315,
029,495,621,904,755,699,960,346,510,310,287,176,673,206,369,005,131,009,254,
428,817,985,532,988,547,865,293,971,592,833,294,876,771,079,871,331,565,088,
240,984,843,325,761,816,295,848,324,448,351,037,891,590,424,454,705,368,779,
939,898,877,606,073,760,827,585,944,110,094,417,785,123,803,725,738,728,372,
052,712,239,350,989,430,815,195,628,164,399,128,016,103,551,394,470,055,069,
192,923,228,587,185,117,075,688,887,083,745,078,363,998,561,282,046,663,259,
577,748,597,151,284,783,396,495,672,518,596,712,824,806,080,781,703,649,936,
268,665,314,789,509,671,375,762,647,996,121,444,288,643,897,814,012,514,266,
676,105,782,715,797,371,338,470,768,531,353,778,497,114,210,837,184,892,915,
492,287,273,214,375,275,489,514,959,738,068,589,420,493,203,012,782,956,978,
772,284,329,570,018,008,896,139,517,515,626,280,890,567,680,787,391,510,145,
368,980,014,227,622,583,177,438,553,712,949,832,400,628,470,782,740,624,704,
645,245,797,392,368,398,972,939,437,190,304,362,079,266,760,110,465,886,967,
531,044,651,799,462,440,912,078,657,383,904,930,657,301,584,603,872,592,830,
942,580,305,924,728,754,488,640,128,234,316,328,277,451,428,949,294,690,965,
453,332,747,828,346,990,824,335,554,549,899,444,471,467,963,899,536,062,300,
765,370,428,517,953,940,120,375,452,276,206,879,037,103,205,806,227,452,876,
365,478,943,188,542,268,098,085,684,370,874,986,660,429,865,812,349,413,210,
440,502,922,646,924,449,925,511,487,380,147,226,650,315,901,115,814,934,425,
716,509,660,495,467,883,957,601,877,480,725,574,610,239,221,749,838,567,393,
664,357,101,674,805,670,790,484,840,251,066,440,916,281,726,355,539,313,822,
338,183,486,309,541,094,871,052,813,271,347,016,154,338,292,084,975,067,426,
355,961,761,871,307,439,410,473,282,176,217,304,337,632,079,026,763,459,619,
872,690,747,656,212,355,463,388,074,360,002,744,410,730,778,312,009,850,862,
642,282,921,172,641,789,572,860,669,894,165,297,342,907,003,209,819,135,828,
724,215,495,730,861,351,073,577,558,698,820,408,895,830,363,382,670,553,273,
950,003,442,938,056,205,286,857,830,713,269,288,215,749,205,549,933,178,100,
702,523,226,664,408,248,139,154,426,642,255,595,305,217,465,950,688,556,208,
777,092,380,098,506,352,845,660,730,619,227,255,967,504,395,930,168,829,018,
056,606,107,470,987,453,859,094,675,752,336,743,432,644,954,829,829,523,021,
602,825,574,174,087,241,065,780,994,737,435,579,978,135,339,402,962,100,475,
032,703,549,088,988,692,900,307,697,156,779,885,525,361,460,172,883,130,178,
758,583,343,888,762,883,633,546,251,491,784,489,602,231,841,714,864,060,007,
947,687,358,470,464,010,378,169,399,363,560,081,318,392,379,080,272,286,153,
022,086,971,494,110,190,626,360,079,370,133,510,581,983,211,562,984,841,531,
410,680,080,279,145,394,429,069,946,707,472,662,766,430,554,911,209,965,163,
377,066,829,247,864,654,347,220,197,689,457,333,822,097,330,338,926,104,103,
738,230,544,972,609,701,862,423,987,392,143,698,126,037,031,289,299,812,186,
262,629,171,499,438,686,813,869,822,640,041,598,793,156,962,475,349,681,624,
386,743,970,431,254,298,427,957,774,670,934,251,668,223,018,845,725,943,894,
975,757,655,851,999,185,233,712,513,855,313,265,273,602,867,179,115,533,318,
566,019,001,888,650,639,626,794,262,471,289,612,685,184,954,800,742,765,307,
870,889,799,491,477,130,847,001,480,896,877,388,118,112,702,348,269,214,395,
839,971,972,491,145,029,824,396,582,443,138,896,429,687,180,352,895,860,064,
265,647,683,858,087,783,286,852,629,104,916,043,553,359,695,734,825,776,880,
948,543,779,011,012,116,551,705,708,505,547,543,714,628,170,326,152,836,662,
061,211,871,732,544,805,408,857,263,539,546,286,639,762,295,959,469,843,527,
293,109,301,410,783,747,433,313,671,340,719,859,815,347,286,134,369,703,870,
011,078,752,416,765,182,915,467,017,247,776,434,837,491,734,594,900,629,929,
521,525,461,837,611,044,705,113,872,837,122,449,793,492,244,696,754,424,274,
073,583,695,597,010,596,472,944,932,112,166,356,086,158,489,257,449,360,619,
001,941,682,219,180,504,276,159,158,705,460,202,828,638,385,964,378,866,361,
644,220,762,391,746,271,739,376,631,940,017,847,950,597,668,112,189,841,276,
511,170,533,221,690,020,321,530,698,559,584,249,546,263,021,287,955,766,626,
392,482,528,095,956,866,574,216,092,675,732,422,160,082,669,891,119,285,829,
817,040,048,389,086,648,515,224,943,175,070,884,973,774,315,839,277,930,497,
100,483,871,553,025,336,891,364,927,620,439,845,559,794,209,570,732,856,003,
718,567,748,201,701,925,239,041,802,702,584,676,077,827,580,559,000,992,968,
850,246,696,482,561,893,313,113,741,416,350,345,804,676,070,465,487,194,440,
686,907,579,627,667,526,537,721,084,638,540,994,493,662,158,684,148,586,088,
220,328,656,388,488,635,820,241,822,883,312,911,811,942,568,708,836,130,620,
862,325,520,708,617,237,209,580,832,816,811,691,287,200,339,348,760,269,794,
478,705,606,511,858,990,860,487,924,704,099,986,694,315,096,638,097,169,006,
283,645,094,111,248,193,181,583,146,432,193,330,493,605,740,740,770,736,125,
626,841,350,360,434,323,068,016,752,610,106,791,081,870,139,648,542,895,437,
257,796,341,555,604,997,416,930,134,189,038,562,729,407,310,248,306,819,671,
006,914,366,688,778,518,694,067,216,389,110,339,242,940,693,834,116,643,266,
394,396,435,859,422,703,230,378,954,474,883,177,820,457,500,215,058,411,911,
642,933,127,497,452,140,799,218,819,503,378,074,098,231,933,371,931,395,468,
782,230,534,119,169,146,062,846,938,764,641,235,634,189,522,334,526,706,570,
612,232,500,713,110,075,798,098,788,980,646,363,100,432,912,057,316,968,850,
052,767,077,097,034,266,874,300,605,069,139,559,897,695,106,690,607,745,334,
002,257,806,532,095,487,029,464,158,632,696,268,142,534,988,714,034,391,355,
503,758,019,948,996,262,616,121,490,515,564,450,078,620,090,142,005,396,382,
674,166,353,386,674,172,835,406,489,413,193,458,847,933,358,153,149,689,274,
774,720,523,010,744,123,522,659,244,270,287,931,857,605,846,091,122,725,108,
000,749,430,210,965,241,311,258,430,273,121,339,351,318,520,069,390,060,065,
276,389,307,420,637,051,293,789,658,914,753,349,080,450,098,231,834,163,852,
980,902,093,469,363,448,450,586,523,902,721,878,145,320,988,974,766,262,189,
021,181,477,876,989,455,835,000,231,689,913,310,809,476,078,635,940,584,133,
007,812,546,028,505,695,414,986,559,435,723,317,187,079,508,132,761,334,123,
332,233,237,667,963,548,793,606,175,090,144,302,684,627,043,777,893,326,273,
987,443,568,353,615,991,894,514,743,297,160,037,034,002,167,031,379,291,867,
965,504,121,072,095,117,010,664,046,912,706,642,692,945,508,850,459,405,928,
545,643,577,617,269,638,253,839,513,948,774,213,285,483,603,534,400,112,698,
678,584,937,939,636,911,457,171,075,423,966,202,763,303,899,427,159,211,312,
027,991,061,024,986,565,998,993,550,081,878,902,750,328,028,298,897,740,852,
243,512,456,513,374,324,128,668,667,212,323,934,043,931,828,133,869,746,355,
642,466,744,105,653,868,972,212,581,780,027,399,479,578,976,679,193,053,997,
529,063,027,145,374,752,325,532,373,193,886,611,429,153,224,996,814,556,101,
653,543,606,073,327,424,735,608,773,641,046,970,456,189,974,370,791,436,678,
820,685,161,734,235,051,631,909,597,487,163,420,467,830,046,394,656,846,594,
808,205,735,993,194,436,398,229,182,454,776,712,883,839,235,603,568,885,827,
849,549,985,393,135,543,874,308,546,213,055,539,060,153,309,810,196,357,307,
257,845,630,668,172,646,707,933,890,370,178,847,390,732,091,953,325,696,830,
511,298,536,919,063,896,226,618,897,083,964,836,257,519,500,328,920,218,971,
598,372,945,141,776,737,548,584,401,210,520,925,983,721,872,166,928,157,839,
760,926,754,418,845,671,003,850,845,810,741,163,656,015,672,292,540,208,918,
551,341,990,449,257,188,622,651,762,140,509,443,980,172,262,272,341,798,854,
203,213,569,713,929,505,725,891,713,113,103,404,606,579,368,585,441,315,407,
581,634,146,000,976,192,372,133,088,577,162,537,078,013,595,430,574,593,898,
955,148,488,955,912,626,997,012,099,439,458,752,532,985,828,403,111,897,644,
330,311,928,124,628,622,535,360,983,146,301,260,891,215,653,751,889,888,272,
781,644,537,413,313,325,691,495,296,336,943,837,259,677,010,493,730,270,358,
137,085,909,485,650,129,099,959,871,393,748,995,650,934,014,823,016,742,822,
134,092,228,289,803,200,008,281,315,379,940,675,290,701,369,985,568,635,197,
119,134,959,222,109,145,537,171,040,969,939,442,348,893,531,987,612,000,729,
162,313,598,290,032,231,222,028,296,996,175,567,362,442,138,330,282,732,186,
891,446,083,819,664,699,436,029,470,152,771,040,906,109,030,870,858,236,205,
389,793,023,726,652,795,251,006,777,437,359,713,672,609,034,290,926,796,356,
103,698,739,367,784,297,649,869,401,275,500,974,454,473,893,520,530,020,566,
601,580,971,024,873,042,726,284,710,719,952,068,983,529,292,286,827,674,017,
948,171,518,306,874,526,534,715,444,327,280,179,027,122,512,562,312,770,612,
345,921,730,257,559,841,576,609,055,810,376,445,329,470,201,217,203,988,860,
157,288,824,214,218,610,586,666,167,518,450,486,630,480,347,870,902,022,266,
136,922,179,723,081,036,905,753,870,843,222,280,775,772,121,404,354,327,689,
462,199,138,140,136,800,194,578,003,550,934,049,246,581,571,637,191,971,276,
868,766,828,044,419,960,358,888,710,409,599,298,446,327,033,323,303,453,612,
700,850,306,836,653,668,251,709,279,097,099,103,211,897,703,373,227,405,310,
601,007,057,494,524,562,302,374,467,877,652,231,936,453,217,424,902,730,276,
327,604,583,144,264,505,577,032,510,567,831,510,232,609,093,489,231,794,571,
510,519,197,828,203,544,934,648,535,427,081,454,891,836,716,009,766,159,461,
576,772,582,095,389,691,661,036,535,088,421,098,115,807,996,717,414,321,060,
787,478,210,732,344,362,437,378,939,129,884,214,246,959,018,025,934,028,724,
390,481,123,009,404,762,275,917,417,693,065,858,235,418,787,150,926,083,960,
874,392,894,227,073,650,819,913,130,528,119,126,652,222,236,843,916,178,420,
995,057,709,712,553,649,980,100,872,287,292,727,696,206,463,749,837,430,047,
516,703,804,981,964,463,898,711,349,412,177,259,361,065,345,988,324,150,988,
468,903,471,143,165,261,436,244,132,235,512,959,928,770,852,746,159,528,647,
496,725,296,114,919,069,293,879,470,988,114,433,038,390,854,586,846,322,259,
550,435,668,429,919,982,328,272,812,778,263,180,382,029,833,605,570,498,444,
883,632,966,820,858,654,063,217,526,056,373,380,641,264,852,540,259,249,121,
325,922,477,646,445,234,236,906,671,202,156,041,093,928,635,471,247,458,197,
019,698,729,678,855,889,116,212,545,943,473,324,672,702,699,419,825,710,890,
192,257,648,759,512,916,278,145,111,829,205,194,946,306,362,952,395,386,162,
003,781,027,885,943,839,151,266,676,292,107,050,614,582,268,651,398,685,124,
644,276,041,727,322,915,845,873,162,483,999,768,187,559,651,870,589,621,896,
930,355,696,166,391,885,314,596,823,352,259,218,096,983,212,075,261,710,161,
913,216,379,144,108,640,492,537,583,138,346,554,050,928,960,184,258,354,315,
271,728,138,361,051,611,831,331,235,284,112,701,563,894,104,319,936,364,591,
638,429,728,651,288,505,285,958,269,379,121,627,888,809,159,897,192,317,713,
326,161,757,016,013,926,263,391,020,170,429,310,660,659,632,342,547,872,981,
332,245,056,676,422,114,192,859,520,094,851,500,482,132,356,031,153,475,994,
623,901,284,011,815,735,304,762,187,514,529,990,109,056,129,030,623,848,025,
738,163,531,102,499,089,795,989,357,542,164,756,412,802,940,199,557,158,665,
958,892,503,932,153,080,074,154,705,396,630,402,780,924,207,661,131,661,277,
432,370,605,377,183,376,471,846,179,693,900,611,599,145,568,474,135,740,316,
848,555,219,043,625,904,124,854,437,836,901,090,061,330,961,032,787,145,996,
115,754,148,797,945,916,166,303,397,284,558,129,618,740,121,451,174,936,739,
088,815,350,266,615,492,527,158,093,894,436,072,732,828,088,053,053,464,251,
622,803,879,180,101,921,534,098,920,099,286,707,295,794,538,141,895,122,868,
216,866,583,880,128,249,757,818,296,007,164,204,895,841,528,127,248,145,155,
970,408,997,658,088,251,091,279,573,487,104,796,115,574,986,920,463,170,308,
675,008,772,602,332,029,272,340,708,577,396,866,699,401,283,187,956,503,955,
577,188,297,940,843,160,551,241,828,187,784,041,481,605,558,918,033,152,771,
389,473,404,558,533,978,827,647,396,509,759,142,293,545,424,838,075,910,755,
084,606,080,584,195,877,072,286,318,491,366,753,456,518,098,917,894,901,171,
848,429,128,768,265,232,182,420,039,606,481,755,670,686,465,297,416,194,441,
847,293,362,489,340,809,202,577,032,170,405,744,871,536,617,032,677,811,736,
752,642,090,442,594,443,288,326,833,985,917,969,398,326,151,137,781,594,495,
784,927,019,389,365,508,961,248,708,872,599,074,244,603,140,975,447,416,862,
334,875,813,326,080,960,397,907,852,038,853,237,623,246,630,617,916,853,640,
879,197,474,356,301,682,201,672,167,373,397,287,963,372,856,629,443,788,723,
724,856,335,707,920,977,678,434,498,030,417,122,830,421,742,353,196,225,651,
650,236,516,547,995,571,717,820,466,996,232,692,575,434,371,870,956,178,904,
616,163,171,099,930,989,066,084,210,845,728,752,705,726,090,348,322,868,858,
216,220,310,933,005,763,261,829,406,942,633,449,262,340,221,177,242,178,375,
883,253,366,405,318,432,396,235,356,166,660,423,685,471,764,273,930,866,051,
430,323,047,001,742,485,550,442,476,194,182,808,071,549,644,724,766,954,739,
439,486,467,433,134,983,178,638,685,014,411,510,248,225,681,977,821,896,601,
518,351,399,499,607,474,420,600,741,109,582,473,683,194,650,934,823,571,837,
000,562,823,526,731,408,297,962,401,958,715,222,596,271,062,140,808,839,823,
259,129,440,424,493,745,350,218,509,713,340,268,624,498,100,790,186,416,513,
710,529,171,044,221,804,985,722,456,676,491,604,334,964,752,445,629,871,570,
371,675,687,278,063,005,673,702,222,828,488,612,967,221,307,089,998,263,031,
296,789,765,323,011,634,193,003,261,450,452,095,758,750,260,567,252,130,208,
501,250,453,236,850,430,887,876,521,741,203,402,547,457,991,353,788,021,514,
252,644,507,524,763,857,925,546,310,546,013,834,877,994,541,648,901,562,133,
597,375,315,016,923,983,341,272,570,612,257,711,166,532,277,478,905,145,791,
326,573,554,757,030,709,511,568,765,134,917,304,757,967,010,224,346,583,584,
740,163,416,815,721,334,898,143,769,646,582,705,485,121,442,720,124,165,320,
089,261,330,558,253,601,037,915,392,595,905,328,962,568,253,781,333,860,567,
256,575,108,246,119,987,216,501,674,690,497,734,088,270,237,222,004,092,524,
325,537,672,254,350,227,486,734,702,365,433,959,975,672,030,957,362,883,321,
784,112,769,153,767,515,605,138,684,242,717,775,902,847,556,534,321,346,988,
619,044,369,993,678,977,807,767,738,992,549,108,399,414,935,183,089,950,953,
693,736,638,849,186,271,989,589,827,260,096,840,113,039,755,043,859,216,523,
109,444,876,543,148,077,741,377,692,280,904,495,630,909,278,430,987,116,903,
053,525,995,624,316,857,804,413,871,208,799,605,590,136,555,162,427,073,128,
299,860,331,919,097,828,347,536,024,691,052,374,938,358,287,723,239,472,109,
300,588,322,329,871,296,483,583,171,655,731,774,871,346,385,537,743,504,727,
945,017,646,484,669,071,380,876,256,622,804,697,201,313,093,405,282,340,127,
426,047,700,523,293,441,681,848,117,628,304,085,297,173,705,717,027,947,468,
746,377,987,108,402,681,319,242,290,303,467,079,537,589,316,421,929,332,430,
870,309,531,090,983,641,784,254,721,778,262,027,815,427,031,341,918,995,086,
982,200,173,269,856,482,916,060,454,764,007,228,448,498,268,797,333,201,777,
941,076,455,790,065,708,057,231,349,184,245,661,032,715,977,526,387,183,978,
659,417,549,255,429,136,281,087,895,869,126,965,993,939,051,913,820,721,578,
425,993,563,549,143,610,444,191,853,542,084,028,212,991,943,728,481,583,281,
065,554,829,097,211,223,068,912,669,776,438,205,703,025,024,378,030,699,651,
088,631,135,869,406,932,026,754,180,904,479,060,734,380,834,035,776,315,163,
697,047,684,706,121,370,413,310,749,061,935,915,421,364,851,408,868,797,296,
576,591,556,410,823,523,378,140,399,663,782,442,266,615,714,130,785,681,765,
591,062,131,218,502,768,876,056,578,789,026,560,696,609,759,554,680,203,448,
477,666,750,456,811,498,599,423,445,475,542,910,505,347,738,397,032,988,831,
160,075,584,069,550,286,502,365,417,507,324,647,446,494,333,105,336,454,252,
078,056,825,396,035,515,056,196,586,453,129,169,893,569,408,323,788,244,497,
420,934,682,171,402,000,578,829,968,453,611,214,384,928,987,784,688,714,256,
235,073,866,821,137,167,999,784,821,845,062,505,828,794,819,913,411,075,748,
360,778,725,578,552,812,982,513,783,464,845,110,851,670,649,953,880,144,699,
656,373,646,220,532,993,167,472,724,460,512,081,458,488,327,295,912,772,032,
657,793,036,904,893,550,469,721,141,775,738,837,679,881,314,277,304,692,350,
447,437,262,957,606,802,650,580,343,389,109,446,404,808,077,781,918,881,051,
294,776,970,512,198,920,529,380,142,223,714,762,279,034,012,938,825,786,092,
745,607,484,444,756,707,053,833,868,186,937,606,041,233,458,978,705,741,945,
457,683,317,982,416,432,708,831,766,158,515,171,739,906,623,612,447,375,140,
644,523,958,441,753,780,292,396,886,553,765,298,165,193,743,255,204,035,623,
321,406,989,486,061,124,616,035,038,387,773,615,845,733,234,998,304,138,907,
119,883,519,353,115,593,358,985,096,239,497,351,794,591,370,967,194,344,198,
682,740,391,232,859,427,280,975,770,815,082,502,063,516,302,792,851,453,614,
228,045,875,776,878,432,780,641,629,808,212,426,732,554,088,262,082,280,778,
472,383,029,940,749,359,577,860,428,949,327,019,625,146,888,283,238,508,317,
850,828,473,574,433,677,391,725,351,150,642,403,588,705,378,022,241,069,581,
401,628,955,116,308,547,065,771,549,295,459,005,171,400,457,156,502,033,040,
899,692,167,555,369,353,378,410,330,230,879,237,611,293,124,709,133,692,512,
526,825,275,254,414,724,228,068,038,438,506,373,635,275,891,724,948,185,056,
827,784,757,934,040,670,348,182,164,687,515,667,207,283,394,729,072,845,336,
031,717,156,243,069,699,299,841,115,177,755,135,014,224,145,205,044,885,926,
506,456,747,361,697,501,164,014,941,711,233,848,924,229,543,080,621,713,332,
843,808,449,548,448,280,931,844,898,304,570,258,846,086,203,139,617,097,225,
292,745,245,852,475,566,184,956,420,981,177,792,921,297,380,707,698,324,514,
736,263,799,343,634,900,330,268,481,146,435,431,193,904,906,462,687,664,667,
364,720,376,854,601,704,479,759,621,449,799,783,697,692,399,508,286,809,247,
575,086,692,847,790,681,679,271,687,576,611,663,118,708,840,383,830,566,257,
065,248,916,110,166,282,711,941,485,127,160,158,033,592,941,660,098,653,445,
187,951,320,628,728,975,308,757,228,213,257,718,882,285,041,937,475,632,853,
838,246,224,365,807,022,735,147,683,831,967,351,262,190,712,526,298,061,980,
710,028,648,559,211,003,744,995,325,223,595,103,129,750,668,577,886,581,707,
826,457,386,683,503,888,720,301,526,501,837,172,802,545,420,419,695,809,420,
938,278,796,938,560,818,826,709,361,496,045,855,242,431,976,328,214,948,634,
309,260,664,351,053,767,608,966,737,769,151,558,737,159,464,630,108,561,787,
676,318,792,740,887,470,075,177,784,697,511,280,404,757,268,524,452,627,891,
749,749,819,202,851,345,083,843,589,485,408,496,511,579,401,886,303,237,351,
832,940,780,437,863,998,675,256,332,750,974,525,155,406,390,914,317,275,841,
230,495,947,336,860,131,473,207,843,662,132,576,330,300,230,222,261,648,458,
949,793,425,754,346,719,900,626,600,037,191,793,468,266,945,553,150,433,832,
064,773,137,421,751,942,383,151,356,690,608,670,941,651,326,038,465,363,336,
760,832,841,365,220,769,413,712,190,022,812,690,529,281,574,841,752,399,906,
540,506,772,336,627,069,075,718,505,634,858,923,816,791,022,148,685,263,902,
550,444,981,191,222,325,859,273,612,611,102,856,064,926,809,536,764,089,957,
350,426,894,767,284,360,202,167,132,582,899,603,010,741,993,077,211,516,986,
270,039,489,162,079,777,236,517,487,780,580,768,342,655,550,091,300,483,595,
080,240,223,417,923,612,110,957,486,092,959,391,927,174,484,779,538,369,933,
627,658,799,757,108,578,183,087,732,037,579,506,428,825,675,450,681,034,146,
042,069,612,706,128,925,980,467,067,193,011,493,886,588,648,473,342,008,322,
261,675,911,601,958,482,417,949,373,255,735,983,292,024,436,491,665,944,824,
528,468,291,214,014,381,907,383,807,287,834,072,639,556,442,689,711,211,562,
881,597,346,057,264,549,028,212,349,823,175,243,629,377,816,695,531,397,779,
653,920,662,358,302,275,841,482,514,027,451,996,701,693,922,740,819,575,267,
848,669,886,687,242,263,947,871,304,130,811,007,678,129,905,170,085,066,006,
317,473,211,067,157,414,869,823,636,928,461,356,692,441,291,948,853,490,012,
396,777,591,741,432,181,785,679,712,723,446,481,125,137,091,517,898,623,024,
959,874,603,332,280,489,948,222,361,472,651,195,648,060,452,089,089,754,659,
312,338,994,423,195,433,017,478,677,975,120,037,951,234,676,787,499,997,206,
010,379,298,913,853,537,031,223,527,601,933,701,875,268,944,129,509,665,793,
170,829,856,110,190,277,021,908,885,134,138,334,582,079,987,995,876,098,152,
258,844,187,398,106,725,591,738,625,612,908,955,892,360,438,442,733,678,883,
359,047,057,091,365,603,202,016,616,017,652,433,647,928,889,801,433,440,697,
036,433,030,520,884,065,091,647,885,962,508,977,565,118,994,684,977,846,861,
437,449,766,230,283,654,255,926,248,849,579,537,857,857,420,356,118,180,930,
306,073,785,637,798,800,647,892,278,427,495,388,757,421,886,511,944,449,278,
815,021,462,803,452,617,319,412,918,398,055,753,793,526,568,670,565,066,184,
427,573,268,349,914,761,861,775,122,169,571,734,560,872,766,850,859,699,947,
072,737,084,954,645,382,344,917,441,393,994,120,060,539,329,774,305,831,965,
316,488,034,590,868,974,425,051,741,604,242,359,341,779,353,833,514,966,011,
464,561,340,541,946,552,317,511,133,475,248,753,418,375,496,533,824,120,048,
861,880,782,077,521,238,929,873,538,465,991,386,397,338,853,560,480,123,725,
605,801,281,740,785,249,752,557,206,113,238,433,117,643,970,581,585,082,513,
689,436,725,161,307,873,444,675,489,112,818,451,368,106,826,173,309,666,442,
096,003,460,798,076,347,719,565,063,005,156,196,871,916,179,511,335,705,074,
659,240,416,896,756,154,383,509,574,002,369,466,365,564,631,585,852,722,580,
746,891,756,060,508,755,303,836,333,826,080,791,227,252,915,739,418,878,381,
955,633,534,662,340,145,800,398,761,302,663,648,964,134,029,988,785,990,576,
067,775,486,875,210,560,773,403,358,500,190,489,864,627,970,538,329,743,885,
944,258,721,891,522,090,499,511,492,721,528,610,184,289,091,804,919,276,632,
202,883,062,147,223,697,188,610,288,138,791,733,423,694,467,770,818,581,315,
147,829,708,210,087,707,727,340,990,141,330,495,096,813,029,574,436,110,936,
716,095,793,126,872,504,547,801,884,260,197,669,891,801,168,603,820,670,875,
707,551,970,647,636,031,626,996,814,272,026,686,637,046,117,118,128,404,789,
277,845,621,601,586,105,780,988,507,128,492,068,690,510,436,128,232,741,126,
225,609,997,025,148,298,430,311,852,240,249,069,496,824,787,781,196,710,791,
542,847,666,618,910,769,761,555,034,203,250,377,035,307,933,079,129,375,258,
862,562,030,417,834,028,817,147,275,289,533,694,320,686,892,645,048,605,063,
471,095,428,826,718,879,502,885,081,425,108,195,386,140,784,908,077,906,013,
443,737,778,111,938,577,515,463,592,433,567,144,595,590,084,443,038,262,901,
863,971,555,458,683,443,363,775,934,967,400,131,631,331,401,998,886,095,486,
033,121,131,285,604,784,923,108,382,960,737,389,565,281,530,031,101,772,275,
879,522,640,216,939,183,591,326,565,767,344,302,113,770,871,518,374,070,572,
375,953,747,608,921,348,395,792,603,221,096,948,159,276,432,806,564,758,904,
921,814,148,781,487,780,755,643,814,813,502,360,885,113,336,036,978,795,740,
755,238,173,962,807,962,183,413,103,368,500,475,863,908,001,726,837,257,443,
569,298,354,763,565,066,544,844,456,092,378,798,778,679,283,179,315,504,759,
073,868,711,809,279,282,835,039,082,642,822,934,659,440,996,318,542,795,991,
364,102,815,020,173,405,448,830,321,924,731,263,881,913,230,178,207,151,338,
316,528,529,260,122,400,643,152,959,076,485,056,032,432,881,932,683,305,964,
243,423,162,878,608,467,725,553,082,160,516,519,812,313,128,211,689,543,888,
288,546,169,407,180,792,118,124,321,470,855,703,573,155,062,652,291,544,574,
084,092,984,976,082,763,422,522,270,935,699,916,330,250,228,187,600,042,107,
090,124,687,361,242,780,906,529,381,762,886,349,954,500,831,065,643,325,418,
582,303,872,237,393,512,943,610,120,526,796,317,999,031,139,396,774,564,113,
096,505,814,843,325,942,471,644,928,991,434,866,615,058,492,352,708,426,950,
509,478,804,719,134,223,733,936,676,421,428,568,650,087,840,219,674,233,866,
590,502,120,184,055,132,337,880,927,115,359,389,181,963,155,237,679,759,648,
992,316,784,733,925,067,218,487,368,862,343,785,173,566,952,387,364,682,025,
325,191,541,145,679,839,990,841,331,098,450,939,629,756,706,078,366,553,817,
522,081,551,861,001,375,808,709,676,586,867,237,430,048,807,824,909,467,212,
946,488,088,956,695,390,672,747,306,005,198,942,128,909,818,057,593,870,601,
014,657,576,153,877,089,585,331,481,228,117,426,212,655,175,996,751,375,934,
798,352,160,857,418,386,030,105,602,352,434,927,070,937,716,167,141,697,236,
641,790,555,117,886,540,496,985,846,072,576,463,690,768,113,548,879,974,166,
038,488,807,816,879,422,459,701,624,539,241,360,332,172,701,358,557,350,238,
667,119,228,519,599,737,321,029,523,235,762,795,430,482,925,294,148,139,126,
446,092,884,473,099,544,885,367,162,875,464,395,951,210,612,519,041,749,365,
551,498,711,714,242,005,485,098,070,953,495,703,643,214,908,235,894,173,309,
066,219,489,263,793,551,600,871,598,082,227,244,539,609,966,203,174,364,920,
284,185,965,918,734,703,212,191,147,071,735,288,602,467,958,223,983,146,158,
392,563,171,955,060,841,015,574,484,127,180,636,635,228,571,781,354,668,960,
937,422,236,631,434,827,654,063,316,521,425,933,393,003,417,345,913,480,237,
322,579,834,653,569,582,859,585,730,378,117,480,323,158,354,492,206,380,782,
781,792,148,880,395,705,874,520,452,274,006,746,881,008,711,782,622,720,096,
105,481,649,471,601,817,581,138,653,676,791,023,111,420,475,536,702,511,636,
215,622,500,833,958,781,116,856,786,628,126,238,925,733,417,449,014,290,819,
199,928,631,621,785,104,088,050,462,577,437,851,984,899,067,080,145,620,158,
110,093,246,016,833,684,221,662,416,557,475,744,956,792,678,649,224,917,206,
782,649,416,634,414,285,549,804,284,642,352,073,298,248,917,216,416,195,318,
453,258,353,505,911,437,809,353,885,946,354,611,713,891,988,613,656,094,839,
701,773,545,574,479,937,546,817,066,518,394,911,498,636,973,358,491,167,089,
079,161,522,567,514,099,478,312,796,436,332,914,785,095,666,566,844,659,968,
473,054,415,840,319,341,876,023,431,198,559,833,262,783,107,383,147,903,832,
782,485,178,610,101,807,606,510,431,846,903,940,750,748,670,371,672,721,040,
953,602,430,521,043,264,991,364,334,224,827,077,451,151,297,689,333,052,936,
291,832,136,235,551,898,043,888,221,807,324,054,319,294,260,465,428,925,347,
142,620,910,978,784,633,223,459,474,777,323,312,822,111,965,734,870,728,609,
038,239,829,508,206,557,399,071,141,434,509,628,455,107,224,424,599,088,099,
104,972,027,563,693,926,043,328,186,663,666,632,894,704,775,315,338,319,261,
974,964,851,554,620,991,603,931,006,597,533,313,269,163,386,705,658,812,022,
636,402,369,884,585,379,310,728,051,842,360,989,139,993,219,815,664,641,535,
480,601,574,844,537,841,114,101,918,933,768,224,011,461,959,287,170,551,775,
278,474,474,722,396,022,170,686,412,142,453,904,472,572,404,960,459,850,457,
108,093,762,427,969,204,435,356,060,510,873,780,354,396,096,686,220,711,536,
038,065,769,537,369,963,481,771,118,822,082,566,728,011,667,109,964,000,639,
915,677,304,164,523,892,087,587,363,421,934,780,026,985,470,021,396,178,596,
128,530,732,531,495,427,534,955,777,722,428,998,842,715,122,894,098,805,703,
445,853,886,464,659,463,639,745,862,141,434,900,804,687,054,764,261,033,329,
022,033,432,682,595,374,498,365,638,353,978,647,178,492,577,888,149,651,035,
067,422,682,446,883,333,467,313,962,183,052,570,769,520,276,558,919,611,290,
992,455,669,030,667,275,874,058,543,060,484,740,150,347,365,803,485,058,686,
738,429,991,699,361,642,536,959,601,899,546,316,229,909,590,598,841,338,512,
571,623,642,814,641,522,534,139,435,408,205,686,977,081,571,059,209,289,922,
156,150,769,340,455,821,124,530,917,031,753,389,029,459,509,223,818,063,954,
307,766,514,688,904,030,257,735,220,534,150,377,402,675,921,827,351,769,895,
173,031,837,600,892,507,165,018,976,368,237,824,745,328,000,814,355,721,217,
806,064,396,375,837,690,250,962,611,733,933,146,254,120,738,905,453,621,922,
314,114,270,392,108,726,930,915,779,699,551,384,454,411,559,614,087,385,097,
089,297,913,828,055,488,955,543,154,481,913,274,637,855,070,895,673,219,337,
601,963,892,155,267,304,126,773,155,272,822,911,961,255,842,666,848,533,023,
216,915,461,267,601,718,632,376,244,934,366,833,987,702,603,915,699,908,240,
499,652,581,907,550,872,635,231,692,297,741,682,992,665,494,393,192,063,095,
462,868,802,370,975,412,103,718,243,097,730,096,276,388,112,756,292,517,875,
912,481,200,652,910,673,238,488,728,230,434,009,540,057,251,377,655,840,432,
086,001,125,121,674,695,243,668,966,729,717,598,665,283,674,580,406,235,343,
581,197,492,003,991,555,977,435,025,601,953,698,800,160,614,796,589,754,585,
570,130,146,217,723,776,178,109,988,301,383,605,697,193,184,921,357,492,691,
315,419,842,059,198,232,305,211,670,112,801,791,858,352,460,945,726,128,694,
203,659,210,841,677,540,849,671,196,108,100,294,216,379,475,542,072,044,292,
131,714,072,604,958,706,269,059,447,867,024,170,960,871,474,875,911,229,049,
353,828,838,869,945,796,533,127,061,421,180,615,895,292,532,748,416,068,101,
259,370,267,290,826,498,600,960,399,961,023,416,681,241,873,391,907,336,390,
743,566,215,777,617,558,360,496,868,838,511,918,403,818,335,021,030,450,005,
006,533,894,778,990,085,089,811,826,013,535,513,145,310,668,714,544,933,619,
158,589,799,508,005,175,140,721,997,886,197,748,884,074,877,642,949,483,690,
833,529,169,848,973,105,876,812,871,032,522,735,437,582,416,383,138,121,329,
729,969,751,583,333,934,603,644,032,661,979,718,592,690,440,929,270,787,713,
180,761,428,693,578,858,798,584,083,301,683,246,688,474,262,270,393,815,660,
561,935,032,868,151,749,457,283,868,812,574,613,991,368,877,924,637,099,182,
016,705,630,321,057,091,854,939,934,310,360,147,275,923,006,159,985,240,805,
029,193,654,145,871,487,764,656,523,127,581,768,387,613,128,096,804,515,071,
954,843,449,181,137,646,557,845,681,381,418,052,447,701,078,505,819,379,338,
861,040,152,491,097,842,823,262,288,391,495,397,945,183,939,480,197,099,243,
067,766,655,776,081,293,620,980,710,146,075,128,737,349,115,665,081,227,492,
927,974,704,970,146,466,334,638,029,773,650,339,055,850,042,942,154,696,781,
911,871,086,420,537,699,387,271,241,113,524,160,425,348,957,952,036,441,148,
381,040,716,002,714,986,951,821,852,661,812,692,895,259,462,135,673,634,922,
087,101,617,801,137,479,117,352,804,738,878,676,670,789,770,750,196,768,825,
724,169,061,018,422,121,487,401,987,602,011,740,398,830,344,062,527,592,140,
245,703,372,489,931,084,912,722,054,657,935,612,209,691,450,648,147,279,089,
159,781,819,559,308,168,098,631,378,190,052,947,481,406,143,776,747,835,216,
462,876,554,898,847,027,711,031,975,581,631,610,927,794,477,896,108,412,044,
825,138,153,510,997,000,384,801,206,831,718,730,004,935,264,366,353,128,245,
573,459,486,066,577,015,092,582,352,863,843,358,612,372,471,133,635,060,965,
836,217,406,374,706,154,907,462,514,895,711,680,094,483,434,208,373,199,969,
050,878,974,032,693,002,638,030,061,620,773,183,363,078,242,296,826,386,080,
351,359,026,686,684,197,620,991,663,298,448,301,959,094,740,061,180,432,725,
787,387,932,118,506,055,391,420,709,484,687,557,291,659,005,878,094,630,041,
899,368,850,764,542,117,353,281,218,858,351,631,640,483,075,990,935,743,920,
444,701,369,922,804,005,722,969,656,594,627,913,355,825,113,473,906,656,511,
429,308,351,508,085,800,605,498,777,308,691,246,496,427,687,799,326,736,194,
645,246,363,983,190,736,458,913,292,899,017,511,006,815,390,820,946,279,584,
377,601,508,231,005,369,863,861,245,049,456,577,638,564,411,259,438,880,469,
058,691,339,647,607,071,535,933,668,518,548,612,960,735,884,632,974,672,379,
809,507,015,730,911,329,900,637,632,847,249,509,952,447,324,079,798,628,899,
280,171,902,656,184,490,091,894,626,461,964,325,169,761,174,262,524,786,292,
834,865,383,347,277,149,557,446,774,012,831,797,795,451,224,365,780,275,411,
455,583,425,972,722,557,355,809,809,710,814,508,890,082,869,775,182,831,567,
036,430,192,302,446,625,570,744,023,443,672,947,641,367,298,272,479,722,058,
664,606,183,392,521,539,035,383,153,469,733,193,212,595,023,136,784,937,348,
513,677,970,266,091,330,916,591,554,554,702,092,958,847,496,370,466,297,992,
948,121,488,796,339,756,398,869,985,985,348,461,318,911,755,740,817,361,373,
535,080,217,731,374,972,259,895,154,224,586,246,921,841,528,768,798,717,759,
129,472,778,110,129,949,162,248,582,774,700,701,780,647,635,009,064,744,538,
300,832,571,805,473,531,241,984,142,408,560,163,620,844,075,612,788,699,511,
055,371,015,599,146,095,512,041,620,372,968,521,996,054,776,851,139,781,731,
339,438,802,000,073,564,154,082,980,677,318,381,845,732,415,997,661,738,863,
007,231,138,369,646,622,622,620,140,515,179,858,340,189,249,020,339,883,898,
179,223,387,542,970,571,226,067,713,935,484,101,395,422,229,790,793,691,266,
308,450,480,910,655,670,457,164,510,463,779,117,961,984,765,637,660,973,697,
560,217,843,794,323,261,143,201,740,408,799,075,606,640,140,562,299,544,011,
390,143,797,057,112,456,035,879,630,622,074,760,494,775,576,056,795,824,532,
039,222,776,931,136,733,103,282,637,458,513,003,376,764,132,934,091,215,472,
307,740,387,938,962,020,324,977,789,560,280,142,610,324,089,705,159,309,471,
192,360,026,126,911,178,037,678,535,288,983,771,923,467,601,287,865,721,174,
203,057,771,644,586,251,651,810,531,531,517,948,601,889,615,245,016,270,865,
797,107,959,043,977,447,046,485,115,754,708,791,012,178,295,956,519,794,785,
786,701,738,155,501,695,252,571,432,590,080,954,057,186,965,643,837,075,546,
938,131,391,524,937,569,811,071,395,953,319,097,377,211,265,005,595,530,561,
661,258,504,273,685,348,541,068,274,400,373,762,501,086,301,027,194,461,273,
479,761,981,797,987,876,618,972,649,358,647,572,001,528,001,926,453,475,876,
568,999,274,229,090,314,248,641,085,525,703,113,401,794,926,811,431,737,261,
972,250,829,007,198,767,867,749,728,519,194,018,759,650,326,068,840,406,516,
208,437,158,553,318,296,133,418,962,275,307,396,888,023,093,620,264,352,011,
661,623,344,812,371,443,077,482,621,102,288,712,205,679,165,508,767,198,472,
318,634,801,823,498,695,769,995,375,336,467,297,830,307,320,051,189,064,191,
662,381,760,048,411,086,384,141,152,647,573,112,335,145,261,354,547,548,755,
970,115,029,468,474,960,346,374,915,192,937,754,498,476,087,250,835,555,559,
981,958,913,924,584,406,465,363,703,623,424,563,551,422,823,558,522,976,659,
474,575,435,367,468,204,759,251,061,826,028,710,813,304,816,923,828,621,446,
104,578,042,914,637,070,307,895,029,291,945,337,289,435,062,776,508,353,131,
825,685,648,286,031,553,502,801,027,069,577,817,442,329,935,346,943,557,089,
596,130,133,354,299,034,130,289,606,779,992,289,244,428,128,642,568,644,100,
435,626,203,597,382,377,833,568,867,913,672,296,089,524,199,355,094,396,391,
568,805,303,450,938,137,216,286,267,378,262,392,244,276,418,239,320,195,560,
680,096,387,987,864,704,545,263,937,578,321,883,660,445,904,817,930,974,943,
116,824,353,031,942,825,468,267,184,280,525,742,084,007,533,049,370,796,138,
029,059,874,649,597,034,260,105,583,793,979,206,813,313,156,044,413,294,129,
281,661,543,423,646,088,415,209,987,738,010,815,418,663,444,776,135,927,945,
949,100,447,662,402,730,317,896,981,538,613,930,912,787,520,988,299,052,259,
793,332,599,082,607,789,221,909,206,569,285,806,675,718,392,835,863,018,171,
673,284,205,991,604,054,369,038,113,882,533,935,849,974,603,911,912,542,710,
113,425,164,991,593,202,101,880,467,571,793,293,086,623,486,228,150,390,703,
324,448,213,796,656,981,633,750,223,450,284,489,445,757,640,463,763,481,718,
002,862,132,917,086,201,321,162,401,703,597,423,435,913,533,703,643,237,062,
084,488,817,799,499,770,721,598,644,712,704,441,599,266,343,066,678,020,463,
427,057,670,036,316,058,686,042,944,083,717,561,175,848,072,182,892,575,444,
487,385,122,297,855,370,689,306,783,783,193,442,016,167,708,137,235,493,663,
863,136,948,085,505,991,912,297,606,493,713,464,670,785,975,451,276,130,762,
954,769,449,207,543,931,587,645,083,138,181,977,432,620,759,441,192,530,930,
743,279,594,752,376,156,262,685,572,288,305,002,595,943,727,008,888,793,592,
245,915,516,231,330,348,451,644,053,560,289,253,706,343,393,429,978,901,973,
978,281,534,122,472,378,814,252,522,452,775,030,078,409,973,463,712,824,240,
444,739,968,375,680,456,669,161,594,488,360,350,968,136,645,100,157,132,351,
045,727,031,219,811,140,384,308,739,118,584,390,658,231,865,512,084,777,441,
204,075,508,874,451,609,885,278,629,468,694,931,257,441,458,093,550,801,449,
740,238,558,302,182,559,003,736,667,196,106,888,898,674,817,313,819,824,631,
537,999,328,210,483,157,633,805,284,160,483,625,763,899,344,422,504,901,676,
111,598,945,294,071,093,703,642,467,585,124,171,772,647,543,436,298,164,973,
892,721,232,279,540,157,032,321,082,388,115,620,225,733,835,753,957,109,669,
645,587,154,195,880,563,852,337,080,693,124,469,861,321,626,484,017,199,847,
371,328,821,984,046,230,104,658,592,189,089,491,631,561,398,455,924,294,210,
029,006,738,042,249,721,000,341,161,048,658,398,475,446,747,447,374,604,235,
069,071,444,100,573,592,232,249,686,118,292,070,127,603,357,230,087,510,964,
420,799,559,464,722,370,677,906,642,366,168,612,329,492,181,322,541,772,763,
248,207,616,180,670,776,476,882,692,075,596,174,706,644,490,602,618,352,909,
055,779,661,386,750,824,362,792,400,416,759,708,200,805,778,900,489,506,234,
125,186,908,360,704,414,283,090,893,451,370,452,008,937,061,823,977,151,528,
139,847,602,868,190,866,995,108,191,810,126,003,312,080,838,132,095,720,051,
017,816,431,533,458,039,152,800,423,213,400,439,886,316,263,366,910,213,295,
249,426,535,035,405,562,214,882,590,819,457,356,068,966,646,400,973,177,283,
867,271,104,826,695,434,478,521,555,444,143,383,108,096,869,209,607,994,303,
961,541,808,772,194,281,923,888,637,990,090,920,760,561,445,972,040,012,887,
497,356,616,643,634,845,175,106,789,876,854,946,294,336,738,007,530,802,072,
209,686,960,574,161,611,171,007,892,329,379,607,403,251,877,865,126,331,448,
081,016,749,568,213,571,501,652,178,961,021,660,629,349,332,732,623,795,938,
092,577,193,847,859,520,343,465,424,508,160,581,095,163,365,834,144,069,568,
882,963,333,658,570,205,502,523,858,604,093,786,091,381,135,865,382,551,404,
945,073,105,987,697,303,943,377,402,355,196,110,597,654,101,258,694,541,608,
177,554,399,907,467,673,773,665,019,414,840,526,448,463,762,728,451,389,563,
363,860,244,586,783,675,898,841,576,837,091,220,767,254,175,771,272,001,323,
600,302,396,305,411,759,884,295,226,999,312,202,711,279,979,945,228,913,544,
909,132,144,867,857,554,609,213,200,471,828,363,732,800,676,212,692,233,876,
477,974,294,357,721,395,263,264,480,917,640,723,248,916,063,449,460,189,168,
279,421,036,969,452,750,374,297,946,324,915,563,098,264,223,846,642,060,561,
310,703,752,395,778,215,179,300,328,346,385,743,972,005,740,192,434,037,364,
118,929,729,460,965,914,051,696,324,373,194,046,550,635,451,266,541,391,618,
775,206,350,414,201,135,416,736,721,629,660,813,706,556,000,251,962,598,492,
002,970,885,025,415,590,669,458,290,241,704,854,736,402,176,950,021,141,808,
654,079,803,978,979,294,401,006,186,383,523,785,099,806,081,209,489,023,959,
778,334,557,655,561,229,852,611,244,259,080,656,061,527,606,243,695,314,721,
194,916,870,254,726,348,016,757,941,409,039,070,600,021,234,846,906,837,661,
545,418,391,532,837,925,601,888,783,400,635,307,129,817,355,247,579,576,938,
393,700,288,230,958,755,221,501,612,033,756,643,550,302,602,654,341,402,398,
828,587,750,101,501,729,264,348,986,473,476,576,577,733,990,298,129,911,114,
448,363,488,590,395,734,220,978,128,279,924,512,778,802,506,593,720,343,540,
781,549,855,765,626,364,121,855,058,507,842,960,125,018,478,669,313,950,631,
181,393,423,706,929,036,909,396,770,988,929,641,466,192,742,593,316,262,446,
263,995,652,226,971,414,075,598,116,380,961,201,921,255,994,526,250,571,698,
533,093,616,060,378,251,179,215,035,524,901,501,165,385,171,866,494,868,373,
265,268,812,133,931,153,121,390,455,676,619,324,305,440,468,797,952,874,604,
147,393,392,526,976,088,086,155,414,142,931,062,785,908,069,257,391,162,387,
527,327,130,335,756,020,774,307,624,968,137,512,254,011,424,450,496,472,124,
730,088,199,615,774,341,344,331,748,615,608,002,828,802,825,678,200,316,378,
087,081,197,182,728,729,776,553,242,365,360,465,102,624,034,627,918,638,217,
921,862,000,001,090,820,647,789,513,999,717,296,211,347,358,969,142,681,940,
466,435,318,168,664,868,472,831,523,203,159,071,439,133,289,467,174,546,571,
327,568,785,760,568,277,353,421,243,597,419,682,692,726,414,646,181,079,567,
588,532,141,784,990,936,151,079,495,682,499,206,683,876,028,313,450,582,239,
924,926,180,325,649,532,103,477,058,826,502,150,460,730,651,738,002,640,281,
695,646,938,423,078,574,784,833,490,107,286,568,595,819,019,462,867,721,023,
072,265,392,129,920,169,043,075,824,422,274,222,204,155,522,548,215,181,689,
740,613,020,007,214,208,651,699,999,842,600,036,215,004,173,380,168,492,808,
176,114,432,569,851,035,325,840,726,308,490,764,738,483,388,452,304,266,048,
752,304,707,673,733,878,413,747,613,594,674,007,753,788,848,829,891,310,638,
511,009,651,108,347,194,625,961,537,121,838,668,265,801,147,574,058,951,545,
609,654,805,094,802,982,936,401,491,693,613,960,747,479,482,032,439,927,045,
099,504,310,652,353,079,914,892,543,352,420,649,588,586,049,521,618,285,261,
219,031,540,823,084,964,572,897,860,906,960,563,759,664,419,750,384,247,430,
520,954,080,305,637,086,731,115,919,263,170,068,284,255,352,917,665,870,028,
045,098,313,038,674,900,577,647,654,682,207,467,412,923,457,138,302,381,319,
973,869,663,292,009,563,535,789,048,001,720,184,730,000,523,605,038,322,087,
370,890,538,761,943,743,804,922,782,861,955,949,322,555,840,066,947,684,812,
249,060,186,067,849,757,602,557,123,496,803,326,627,724,598,145,494,162,946,
843,834,874,824,381,064,719,685,218,677,485,836,574,953,064,946,175,528,528,
853,173,212,269,989,444,102,567,317,780,862,700,244,156,559,237,096,299,887,
699,980,561,316,335,329,789,414,268,022,811,310,721,319,526,422,500,437,916,
000,727,826,063,521,009,709,642,928,982,986,562,026,306,343,219,727,892,633,
839,228,931,676,849,225,036,911,843,036,551,721,610,331,644,972,900,924,537,
052,595,571,670,258,387,631,752,379,718,341,706,888,994,682,319,398,958,567,
056,965,929,481,992,373,265,274,689,177,752,179,212,960,963,880,870,920,099,
785,383,243,574,499,489,956,286,641,017,966,414,070,918,687,747,037,734,611,
534,625,609,954,967,753,683,782,179,016,337,481,787,798,974,422,480,518,990,
135,592,553,456,225,033,202,931,493,515,242,364,698,312,683,913,522,233,008,
159,491,618,234,216,632,879,897,163,315,855,070,557,675,032,463,974,868,860,
065,155,552,246,476,577,442,997,985,777,870,753,332,829,186,390,250,101,063,
540,632,951,635,418,178,076,361,833,909,051,393,103,751,384,454,541,255,590,
781,933,092,698,454,369,297,952,908,790,980,566,901,005,333,537,737,012,076,
425,335,516,070,110,249,058,423,991,809,180,352,457,720,943,585,882,955,874,
938,782,371,113,436,893,690,038,618,599,932,477,412,059,654,701,631,329,631,
190,824,244,107,781,179,833,445,967,265,197,010,649,571,784,946,183,608,515,
795,730,672,740,645,805,552,959,259,025,085,789,123,536,369,237,273,709,173,
438,671,680,975,329,060,802,701,882,921,024,469,405,297,009,425,868,819,837,
745,966,319,018,767,905,544,360,278,953,968,898,608,258,475,192,339,136,723,
127,105,664,833,530,224,426,329,594,792,368,609,084,866,034,194,745,359,414,
582,704,586,933,502,246,896,078,491,878,979,220,787,582,632,648,031,612,259,
035,369,100,585,189,630,555,732,953,652,364,853,313,555,669,712,172,638,463,
828,183,891,233,756,364,952,974,628,344,291,346,809,971,356,361,303,715,801,
334,338,052,763,661,884,744,125,719,495,880,187,802,815,420,551,664,330,963,
676,551,108,040,266,251,149,883,114,822,573,516,666,675,410,532,961,473,439,
666,989,447,465,382,927,419,020,237,863,956,476,576,836,574,253,095,951,043,
315,046,684,222,009,212,654,460,184,676,196,759,039,593,226,908,402,519,883,
613,043,857,222,013,204,712,207,666,286,552,207,623,134,629,064,464,097,019,
693,085,646,739,497,863,523,159,602,123,214,057,490,103,725,533,309,247,980,
844,289,031,010,422,718,267,531,701,957,921,845,257,201,925,093,405,345,577,
540,442,134,098,541,792,121,225,682,660,147,209,763,501,025,414,548,583,689,
053,032,244,042,700,222,102,205,406,254,406,856,674,636,660,268,887,173,774,
527,087,651,805,733,112,670,768,256,617,907,975,009,624,292,284,065,151,502,
711,633,164,778,272,195,302,225,551,394,572,396,212,038,299,642,033,778,624,
456,096,800,222,571,740,934,565,929,723,510,238,733,242,216,820,764,002,574,
158,905,358,452,399,054,439,736,411,555,879,486,514,485,876,611,880,752,226,
775,591,511,724,370,789,711,651,579,847,950,349,598,145,238,406,704,002,475,
994,437,018,306,003,827,298,519,365,631,987,667,995,146,085,776,228,886,263,
118,468,991,331,108,425,535,860,678,230,950,803,620,281,791,687,795,672,597,
707,011,766,016,114,983,686,155,136,447,326,211,703,660,036,305,930,325,036,
113,333,492,891,857,526,875,542,513,017,195,667,574,323,520,737,038,629,622,
234,243,716,198,528,671,055,232,121,322,487,390,681,996,260,650,630,345,446,
223,231,670,955,162,881,519,892,198,392,140,130,718,078,971,358,812,052,860,
938,550,211,516,893,149,368,327,365,003,644,015,152,817,554,727,488,679,756,
860,768,180,640,792,268,712,720,578,925,153,453,313,385,656,910,690,381,759,
714,911,220,059,349,435,159,965,192,347,256,702,760,797,462,357,287,742,013,
201,031,843,197,751,023,480,028,264,442,005,831,228,330,043,592,649,310,220,
068,547,963,851,575,761,725,463,413,867,165,813,175,135,283,925,508,681,770,
999,174,046,553,728,254,694,489,022,898,221,763,417,635,927,938,894,689,803,
077,178,130,260,658,785,852,394,546,203,632,262,543,051,365,277,309,646,800,
683,799,891,598,795,426,417,424,021,935,903,553,159,763,006,261,161,776,163,
494,880,545,471,928,315,731,999,854,889,143,809,109,324,276,036,699,590,154,
791,286,487,641,720,011,678,137,574,934,392,434,041,684,021,788,976,278,268,
041,505,320,184,067,055,085,195,004,577,732,116,862,558,691,352,147,862,620,
388,122,520,384,556,867,047,399,893,814,318,003,427,613,539,121,677,105,941,
398,876,226,168,399,723,509,196,212,420,771,848,674,312,009,999,166,710,458,
522,107,206,668,215,842,460,492,658,300,417,706,817,904,196,117,462,675,330,
372,652,530,652,294,228,902,186,589,589,207,742,563,913,217,073,816,872,703,
479,173,411,370,349,555,472,644,281,150,898,202,239,568,736,000,908,660,534,
185,408,283,602,804,492,788,735,729,577,191,728,372,856,604,188,374,025,762,
824,234,511,897,037,073,002,058,878,400,798,826,684,266,919,308,844,737,732,
294,458,231,558,654,049,052,257,396,225,822,377,271,907,954,534,707,947,587,
223,322,138,041,488,635,974,442,561,968,493,753,002,073,395,081,759,152,352,
527,240,093,183,108,591,740,657,226,846,613,596,328,031,187,964,776,088,189,
604,168,328,146,620,120,612,725,834,423,545,107,817,659,149,909,893,030,419,
690,166,397,195,575,527,854,210,768,121,166,658,024,529,564,540,804,370,206,
372,521,555,966,584,008,709,872,928,781,105,714,718,316,509,491,390,854,730,
228,224,403,194,122,543,228,834,957,233,098,855,190,383,040,681,134,089,813,
341,012,037,002,812,400,345,241,783,829,892,423,914,621,342,672,734,498,048,
850,988,283,572,980,855,849,134,328,325,103,348,528,535,905,726,141,746,889,
346,427,294,325,061,178,931,818,160,637,536,250,982,740,432,836,274,385,766,
372,496,340,131,332,886,424,642,172,841,294,486,213,744,180,964,718,656,057,
338,461,151,358,270,724,929,674,811,748,811,719,857,631,293,863,562,926,690,
769,937,445,641,232,163,764,771,693,336,951,810,706,766,479,365,597,216,529,
230,924,664,515,820,893,811,123,070,065,567,830,202,577,060,550,835,851,647,
503,030,895,595,624,936,520,653,397,130,423,250,345,308,082,820,610,679,457,
983,124,687,510,207,008,848,209,140,769,884,985,261,756,229,605,682,809,217,
768,289,919,653,468,564,516,303,189,841,955,869,461,386,773,616,288,720,456,
676,863,194,765,172,570,710,261,358,098,375,224,443,975,445,840,656,214,627,
746,089,428,692,883,809,073,125,587,779,375,809,416,249,588,089,252,919,978,
096,013,882,986,463,351,278,263,532,740,733,935,004,829,582,555,471,690,719,
626,242,090,955,931,483,017,836,091,947,796,735,602,970,788,536,712,533,322,
681,586,748,730,090,255,904,744,252,371,618,589,821,774,345,356,357,413,201,
700,714,929,411,511,427,719,232,604,916,507,379,077,577,177,781,631,859,351,
398,850,827,565,526,720,339,162,987,007,450,144,855,069,289,622,761,583,690,
747,761,555,865,461,504,698,096,128,972,766,984,432,307,595,315,862,733,476,
167,557,085,871,072,289,786,804,849,385,341,776,241,658,109,922,866,929,827,
166,517,267,365,361,035,854,691,240,033,026,787,382,394,409,543,943,877,192,
830,913,939,277,645,893,332,616,787,424,741,770,787,214,549,077,386,229,757,
486,931,389,663,430,886,192,923,965,829,341,153,857,270,198,180,535,180,788,
408,089,591,352,093,211,068,402,457,793,211,239,158,068,229,779,111,856,755,
718,937,884,849,425,333,044,401,518,190,044,310,004,295,337,932,862,812,055,
704,601,983,492,151,644,098,541,768,912,036,407,290,800,598,169,412,787,911,
940,067,391,049,868,660,490,188,181,967,961,296,598,638,464,744,755,835,463,
709,367,664,567,808,103,235,189,239,962,015,639,579,630,262,073,673,176,662,
669,841,789,421,451,941,948,970,224,149,890,981,412,408,552,264,917,995,662,
083,517,892,081,116,510,256,102,478,749,343,595,576,153,205,776,747,423,755,
786,950,916,301,412,647,027,503,118,645,497,575,637,646,296,500,504,208,855,
868,110,401,964,152,808,843,379,566,271,409,853,228,881,001,671,936,204,918,
375,758,837,135,853,424,088,176,735,382,637,061,610,754,456,123,835,088,769,
091,550,325,444,336,784,982,858,916,506,728,816,928,668,860,755,606,661,358,
669,286,528,290,049,186,704,098,158,493,648,715,658,963,085,927,692,755,630,
117,636,346,368,227,469,151,697,928,729,703,789,229,724,493,046,979,589,371,
176,839,225,891,239,895,155,006,702,405,091,983,272,923,486,875,636,356,140,
550,292,078,303,744,843,299,047,186,239,121,794,179,321,031,703,621,797,442,
582,451,560,442,377,122,871,178,097,657,334,012,669,375,391,602,506,986,880,
897,822,247,401,260,426,524,614,816,519,518,710,548,767,781,045,530,604,884,
006,917,001,885,824,821,008,543,988,031,446,722,939,609,344,030,121,344,072,
183,500,050,310,963,512,883,182,242,870,735,753,347,987,116,646,019,693,376,
565,908,921,820,631,994,488,305,061,528,407,376,452,626,005,848,421,310,413,
078,706,641,595,569,528,763,925,176,656,502,967,636,491,185,966,631,657,519,
265,463,481,815,647,929,181,818,133,620,936,118,758,693,576,787,693,854,349,
494,477,972,623,094,717,302,548,683,185,757,016,821,164,759,545,529,837,325,
395,354,666,750,313,503,093,398,537,470,094,400,110,684,962,758,093,682,485,
210,599,675,403,337,958,446,363,573,354,403,118,601,052,642,491,110,666,915,
723,348,058,642,301,177,680,732,799,600,092,002,922,000,083,174,020,075,527,
780,567,654,129,890,030,328,214,769,895,126,287,822,346,653,547,795,841,623,
145,045,575,918,201,508,914,268,111,895,520,571,464,872,662,529,080,968,731,
864,560,434,663,487,804,325,769,205,593,667,743,851,295,056,732,599,688,979,
660,127,319,968,004,929,820,883,677,291,527,999,551,416,803,770,868,588,882,
124,205,929,877,227,923,423,858,139,331,228,808,806,450,916,441,336,579,750,
981,730,957,203,648,658,423,682,798,647,650,295,999,806,368,806,259,764,218,
969,234,332,093,999,616,262,651,699,953,661,135,530,180,845,815,449,428,273,
602,428,136,756,221,089,388,683,854,151,198,959,143,103,822,127,774,319,497,
457,823,490,762,232,308,969,543,743,766,173,148,339,556,378,329,516,485,532,
360,583,719,587,239,676,794,561,319,031,074,972,300,673,397,747,963,989,506,
934,217,252,726,334,652,973,332,661,814,156,463,836,089,122,499,200,676,888,
055,662,022,752,572,326,720,899,558,976,990,972,788,410,414,338,017,911,125,
697,314,055,325,835,872,300,536,240,545,199,941,981,247,590,768,180,357,247,
377,687,240,164,875,276,198,033,191,435,056,951,086,268,057,652,605,015,353,
167,296,753,157,304,325,698,858,339,066,219,700,542,154,911,819,966,557,715,
081,547,431,144,213,479,295,919,827,775,588,687,274,832,613,120,870,792,562,
380,025,286,139,175,003,971,521,401,781,470,839,256,008,320,898,933,722,640,
959,927,741,744,402,269,626,507,469,911,137,190,862,607,855,320,254,118,259,
927,040,498,821,238,814,961,233,515,809,203,037,369,841,315,376,321,070,628,
792,159,011,611,916,475,244,834,555,087,237,213,292,266,279,735,374,947,983,
090,796,077,721,582,053,307,809,145,232,955,511,534,750,401,761,377,890,198,
301,700,636,654,264,575,352,486,915,977,452,836,829,657,528,459,993,149,304,
849,770,088,451,811,597,640,792,449,263,818,090,503,800,655,482,705,998,238,
248,951,777,245,233,198,096,305,478,910,876,660,178,809,196,666,066,018,920,
611,211,578,485,300,815,400,592,443,872,072,575,047,116,090,507,395,768,580,
631,275,966,240,584,915,247,608,947,438,517,717,114,531,370,076,662,404,123,
218,953,259,810,223,375,661,528,455,374,495,837,470,181,970,652,770,413,177,
310,277,226,009,355,513,311,737,862,443,600,404,638,099,191,040,402,834,188,
152,325,490,138,419,521,684,867,202,214,352,100,554,066,868,269,055,319,097,
100,765,104,428,902,276,970,619,646,553,392,974,837,960,916,963,928,287,815,
414,227,246,597,399,626,353,456,871,426,701,197,371,646,588,045,717,893,622,
256,313,825,552,908,323,188,531,988,138,115,289,038,172,981,379,306,339,237,
914,946,605,909,409,187,665,316,483,012,886,450,713,506,003,532,703,106,945,
112,279,773,480,873,224,073,243,210,894,151,872,318,298,514,102,261,904,192,
819,693,565,018,578,475,446,338,309,165,323,161,052,645,053,013,228,875,995,
909,085,083,817,475,229,246,820,747,467,570,718,528,791,807,291,911,060,804,
211,915,655,660,708,568,336,148,049,918,677,821,179,893,917,678,521,849,384,
902,916,563,107,185,501,229,202,817,003,771,484,177,950,634,330,138,378,285,
809,467,399,519,678,071,360,900,984,163,873,833,672,237,872,539,435,536,386,
802,439,043,504,533,957,786,976,718,926,914,740,986,702,020,347,424,173,397,
259,344,064,446,274,233,569,683,795,014,785,485,485,152,851,001,935,256,325,
132,045,117,432,619,508,031,038,674,142,674,619,219,892,212,459,078,038,032,
013,910,951,349,625,832,513,826,965,186,774,345,593,123,932,356,754,026,192,
584,299,278,512,116,586,923,200,947,484,289,942,774,260,831,062,114,511,232,
050,698,927,906,209,731,426,616,968,975,961,558,219,171,589,102,811,474,467,
750,492,568,706,031,842,713,912,368,091,546,652,579,600,041,340,452,425,320,
765,181,102,065,191,536,046,635,199,042,024,758,857,489,943,553,454,003,096,
125,304,787,563,202,767,226,632,014,900,368,261,982,551,116,584,612,442,286,
027,592,732,091,451,558,152,470,053,597,193,183,438,631,267,629,229,044,783,
760,164,091,259,135,108,564,636,565,439,681,470,754,368,968,286,725,746,012,
782,254,396,379,271,464,969,033,827,039,961,816,873,145,987,069,640,700,227,
940,987,780,982,106,401,275,482,012,371,801,284,644,150,307,157,679,174,206,
629,856,167,237,784,397,338,501,670,136,894,491,273,310,053,286,389,363,119,
914,409,562,359,107,010,228,802,263,874,639,983,197,586,225,571,368,599,463,
843,326,097,746,151,373,177,776,307,204,309,779,648,292,009,390,743,668,603,
673,732,465,866,367,422,663,063,381,551,253,478,373,868,715,886,831,330,046,
423,031,485,032,522,671,714,835,259,335,205,532,820,098,232,853,306,231,130,
905,119,381,178,102,318,067,710,344,672,995,439,837,411,712,842,293,988,989,
823,715,859,420,163,414,374,274,540,020,148,182,794,827,098,623,300,435,406,
186,128,207,812,797,737,314,476,113,514,412,365,417,076,788,918,998,122,730,
114,449,244,567,020,129,970,756,297,088,981,928,361,891,785,527,547,951,434,
833,562,156,474,131,168,264,829,632,762,232,710,712,111,258,416,344,313,007,
675,132,043,305,782,339,080,008,771,077,781,257,053,169,505,671,248,011,198,
096,574,086,373,433,333,261,173,849,918,086,460,176,820,989,926,113,550,869,
037,989,538,275,258,547,244,621,528,510,269,651,477,839,944,800,927,447,276,
225,116,221,696,556,141,054,655,918,587,959,898,126,159,212,212,588,215,201,
472,756,687,276,381,580,254,051,884,170,300,460,608,478,989,602,791,006,251,
856,776,206,178,349,898,166,852,322,054,382,071,212,782,126,682,817,633,793,
385,499,153,545,421,789,181,062,255,249,994,102,337,985,696,317,373,721,104,
764,108,347,049,999,066,729,106,875,232,646,076,943,601,147,638,914,948,307,
781,238,990,887,350,235,840,142,075,536,408,286,574,889,560,595,307,636,898,
743,024,059,751,181,267,871,194,432,079,095,519,555,686,454,915,220,297,852,
600,844,288,684,451,904,922,678,865,209,131,340,065,302,181,347,169,820,447,
305,893,279,918,745,320,882,272,030,158,513,718,071,452,287,325,732,968,167,
494,960,935,762,518,581,848,227,652,915,315,969,589,920,883,516,235,673,636,
105,900,601,523,066,162,841,984,677,362,037,421,238,184,005,276,586,710,753,
071,300,509,303,930,085,501,656,778,299,858,845,734,674,868,075,925,041,251,
550,291,380,316,659,907,851,283,015,903,753,483,489,508,797,219,576,804,324,
888,938,275,762,997,739,065,648,512,619,794,790,827,543,911,806,648,507,307,
115,587,385,604,193,804,530,415,090,925,675,728,354,547,623,766,729,840,480,
810,657,312,876,096,725,459,526,470,340,087,914,662,231,722,966,167,467,940,
502,901,141,007,451,201,290,894,852,372,163,762,027,789,656,422,563,011,862,
132,150,571,699,712,551,495,325,011,406,566,946,059,675,056,220,064,330,374,
379,083,402,420,640,690,290,698,778,717,804,463,593,271,917,887,324,256,778,
195,661,027,489,209,753,017,582,814,193,623,405,339,902,569,452,661,755,818,
722,732,530,158,596,598,356,480,073,700,399,244,108,651,430,193,096,380,594,
041,641,203,175,388,166,669,592,834,055,328,306,642,249,293,071,645,704,086,
801,460,271,722,169,972,953,751,837,100,189,314,095,659,178,239,354,780,209,
100,731,475,737,498,614,733,024,323,757,812,424,164,208,817,074,197,648,269,
034,305,144,779,454,244,228,885,320,922,362,996,010,790,834,794,936,332,997,
229,535,854,610,655,202,726,855,078,615,199,992,881,927,064,343,565,962,461,
399,934,483,423,716,012,034,622,333,834,703,186,148,483,305,753,109,202,495,
078,544,643,188,810,536,997,367,231,362,828,668,934,040,453,806,570,310,223,
412,118,856,439,401,783,761,304,018,795,392,347,475,763,460,817,959,161,359,
567,946,156,192,239,792,273,935,425,224,464,275,477,107,383,924,491,804,122,
778,016,488,288,109,379,823,182,495,921,946,596,767,886,202,515,094,384,613,
177,748,313,691,219,365,361,421,199,996,682,908,257,655,477,091,796,894,928,
549,662,057,244,682,170,012,533,023,479,467,075,243,534,695,591,305,764,023,
864,599,753,282,992,160,103,326,947,332,306,161,388,305,987,998,486,960,411,
497,858,150,660,493,165,143,451,545,418,771,450,078,070,088,717,319,630,792,
937,559,373,971,220,829,638,217,827,404,916,640,466,547,271,471,912,854,260,
102,900,898,391,167,862,703,840,884,423,080,400,264,334,638,810,434,937,225,
023,032,973,214,840,105,377,726,287,607,359,001,168,697,104,091,772,329,894,
402,683,294,709,364,800,596,967,510,231,591,881,568,658,546,699,232,374,867,
851,712,102,687,127,077,595,078,166,517,117,210,416,230,588,162,156,305,726,
818,960,431,043,286,514,399,932,913,869,088,378,514,711,159,815,415,524,128,
802,802,601,452,960,494,162,009,721,591,952,493,937,585,715,830,412,785,882,
163,528,022,712,619,953,218,408,786,514,783,002,641,707,554,611,432,855,799,
446,326,597,460,076,742,580,246,330,417,589,260,965,602,088,354,974,290,274,
012,551,483,079,550,818,201,733,850,452,208,727,129,526,163,211,185,581,475,
797,901,757,154,952,949,508,618,009,696,428,536,433,496,573,451,712,565,132,
274,594,867,277,682,590,279,020,948,001,390,758,884,150,489,262,071,921,379,
549,926,818,027,281,663,364,651,680,017,785,267,708,096,667,273,346,288,080,
583,100,718,608,317,164,139,006,658,973,959,019,964,666,261,655,361,064,235,
380,721,828,249,166,176,721,703,899,271,415,946,843,183,622,480,994,469,738,
733,302,055,434,632,205,780,014,722,559,410,414,818,395,363,825,830,207,172,
863,245,936,950,840,191,821,170,219,580,920,649,023,377,953,247,706,698,989,
794,338,058,590,538,838,167,736,716,567,780,958,006,991,819,112,414,707,066,
783,620,749,940,250,487,841,498,557,622,201,304,489,014,431,551,443,371,602,
489,827,824,716,955,550,609,843,425,048,561,589,969,130,248,305,055,531,640,
991,220,289,092,055,544,264,442,336,073,664,351,413,777,215,465,003,791,738,
519,636,532,400,189,746,731,918,585,364,181,884,771,160,316,701,353,287,375,
349,075,966,064,135,696,314,887,194,646,899,608,475,619,606,862,935,702,892,
075,008,960,178,000,862,826,701,343,216,005,177,461,066,223,555,925,585,779,
508,413,644,019,256,050,383,820,631,646,181,881,005,490,846,167,214,072,315,
869,280,140,526,975,510,159,701,761,072,236,530,225,569,861,184,327,510,464,
271,559,332,132,609,817,759,073,550,170,770,965,853,089,022,293,091,531,839,
940,507,598,122,248,768,537,268,631,812,785,088,289,187,113,065,521,039,137,
848,771,883,727,301,859,716,416,993,722,968,383,693,465,642,699,230,898,435,
976,073,158,501,768,607,609,274,955,681,189,555,909,117,966,965,238,318,800,
085,010,543,483,961,758,548,949,160,225,062,021,377,181,410,395,692,113,458,
784,019,089,417,103,206,963,880,218,635,091,705,331,699,450,523,624,829,651,
161,784,463,996,371,260,661,062,672,064,986,903,982,768,152,589,016,428,808,
065,817,238,042,805,044,924,353,058,553,521,334,021,652,977,846,692,622,424,
315,791,844,356,307,404,788,137,098,893,093,889,647,740,044,801,655,988,376,
683,224,309,835,352,009,739,262,261,369,463,592,249,466,307,037,550,718,291,
849,643,169,803,142,032,053,161,758,129,477,334,561,000,849,180,877,586,169,
850,840,903,979,657,103,982,348,034,711,363,061,477,211,157,335,965,074,063,
709,545,910,206,216,278,886,186,706,428,670,564,171,422,511,987,753,567,467,
333,298,170,491,734,503,223,577,657,608,123,883,210,315,378,904,515,397,971,
040,274,223,499,616,475,526,922,263,412,256,359,540,667,700,912,780,975,823,
725,672,429,870,092,583,294,084,005,600,883,052,183,469,279,639,593,556,039,
747,384,672,320,181,647,333,400,837,715,081,961,496,249,637,458,095,576,779,
940,023,165,529,554,287,026,078,771,941,880,899,740,066,272,676,084,175,832,
940,973,189,752,741,682,370,521,572,455,706,773,637,904,974,882,954,954,124,
486,953,041,548,121,022,450,879,185,609,449,140,410,931,534,563,091,436,225,
024,411,072,781,652,566,610,999,582,189,968,522,155,266,570,496,565,928,776,
423,057,580,126,799,744,241,614,884,922,925,361,632,342,444,623,803,007,942,
271,205,538,878,463,275,368,188,891,682,119,630,522,699,811,824,608,708,518,
959,094,128,665,571,307,504,813,363,723,038,618,669,097,752,144,679,798,765,
581,163,120,505,556,517,626,464,110,929,427,791,650,073,626,290,906,759,861,
011,261,220,194,888,206,540,455,137,973,344,669,200,827,939,869,494,168,654,
109,666,535,201,882,574,744,552,027,181,844,470,743,289,329,792,172,151,174,
345,688,138,723,379,714,171,214,819,587,002,688,625,564,597,381,300,181,637,
865,938,222,529,324,214,093,341,746,176,558,708,590,108,954,147,165,807,876,
660,854,121,103,816,476,936,360,495,537,717,703,923,012,141,609,825,273,240,
675,225,241,794,509,392,298,723,405,706,216,105,175,812,476,971,796,797,697,
548,561,608,685,380,511,015,930,677,732,761,514,556,600,251,170,563,383,311,
160,264,636,857,666,669,846,433,527,200,495,388,422,726,816,193,417,244,022,
192,381,461,214,884,373,787,388,168,549,051,442,190,984,844,921,127,418,667,
268,687,559,905,085,262,860,060,837,164,845,969,147,426,448,242,028,894,353,
356,400,951,138,314,485,887,030,558,809,697,716,097,449,700,415,182,237,381,
585,866,554,065,112,639,642,567,876,098,168,213,821,439,693,967,423,035,117,
463,798,758,436,563,995,460,530,644,989,856,593,868,743,834,987,193,377,605,
813,787,816,390,963,709,802,400,994,676,666,240,638,124,408,437,284,542,802,
534,922,979,943,477,244,443,649,676,848,006,301,486,750,928,080,364,088,355,
401,465,254,722,600,788,349,159,206,269,220,480,368,929,423,933,708,068,747,
983,738,364,417,842,320,593,726,799,855,826,893,775,190,400,773,912,538,117,
395,341,587,485,781,353,760,021,293,058,183,581,708,984,421,976,432,088,730,
758,252,523,669,693,275,623,197,804,598,342,127,397,974,495,279,700,844,601,
686,929,473,218,470,992,308,865,324,609,557,305,335,584,588,319,535,220,585,
160,067,172,046,691,323,385,889,775,695,452,843,487,807,045,866,439,933,718,
097,958,663,494,790,678,728,648,943,352,529,134,888,767,027,256,995,341,214,
215,211,859,987,488,812,565,480,969,575,037,841,028,676,989,964,093,607,313,
225,968,186,673,465,683,361,772,968,125,257,148,943,820,184,357,827,469,084,
405,506,400,104,527,491,243,493,591,906,640,102,099,300,590,839,186,818,887,
859,167,112,354,385,333,472,966,419,067,833,218,195,027,382,662,521,449,841,
187,224,165,599,904,963,457,763,790,429,274,715,277,531,364,850,398,061,684,
906,048,074,014,052,859,099,551,863,492,619,499,072,093,166,340,913,005,411,
234,484,892,340,909,346,164,422,466,655,105,598,091,517,068,736,626,615,646,
314,482,914,795,149,816,259,998,745,982,762,217,430,882,595,704,864,828,258,
895,955,567,162,813,355,071,044,855,124,860,460,042,375,510,289,285,633,279,
659,812,169,911,978,632,392,292,761,743,954,365,845,862,831,356,725,142,054,
152,596,319,417,318,314,320,210,422,522,183,293,043,259,943,960,627,763,224,
487,422,186,155,381,817,633,650,647,759,741,326,192,877,365,253,286,139,792,
937,234,935,164,836,906,912,394,036,487,420,605,789,143,042,622,449,483,985,
368,157,005,823,812,562,374,135,239,963,716,407,571,837,874,572,775,798,535,
511,244,936,677,750,688,229,706,365,650,572,575,577,646,241,674,680,728,777,
463,339,211,581,695,951,989,731,631,039,249,390,594,928,219,874,200,511,393,
206,771,942,482,706,135,915,438,770,373,478,488,489,287,343,159,168,913,262,
994,956,131,632,265,212,791,287,664,060,113,652,636,297,609,973,417,405,676,
704,219,353,159,506,381,261,817,070,724,252,284,599,404,600,599,466,000,584,
765,240,425,703,111,089,057,381,338,431,896,865,290,408,518,920,909,973,465,
078,477,653,999,900,405,218,873,362,478,123,497,963,018,154,119,427,268,262,
733,531,999,849,962,833,704,563,822,607,471,290,457,503,600,450,763,144,006,
318,100,344,821,681,037,470,754,465,303,879,372,409,970,050,871,599,177,900,
854,572,854,120,075,013,625,890,828,111,462,653,169,486,838,668,594,469,427,
276,625,528,504,945,761,422,003,115,345,275,006,736,019,922,120,328,141,671,
339,107,231,542,443,080,324,485,674,945,325,852,778,010,225,285,774,060,119,
183,599,099,475,812,641,648,222,104,828,729,164,532,926,219,785,431,301,193,
095,805,534,001,851,397,500,089,740,010,954,426,747,978,373,792,668,542,652,
645,688,897,196,164,965,403,282,091,959,903,347,326,519,685,120,487,624,228,
299,910,572,065,766,800,148,246,967,315,729,440,714,184,981,370,718,036,691,
064,010,720,635,169,148,349,405,932,004,578,982,403,342,026,404,721,481,248,
094,395,509,695,526,851,592,217,126,204,843,894,079,465,894,677,304,539,440,
059,768,940,923,156,782,769,719,003,714,608,416,983,127,335,171,624,633,468,
655,535,328,358,293,755,257,711,124,174,680,162,423,242,110,690,380,850,276,
954,118,614,564,903,009,474,895,905,265,131,838,587,196,535,438,636,004,099,
450,638,275,920,384,692,847,619,648,479,709,425,189,610,756,247,996,231,636,
354,674,268,082,331,631,951,825,547,822,382,143,806,217,689,306,664,747,062,
269,115,051,230,930,776,286,483,292,339,582,134,096,341,873,678,243,881,040,
455,498,542,220,903,386,084,488,219,746,209,601,779,158,460,884,472,610,956,
903,681,217,617,893,637,477,296,023,085,604,257,283,787,294,438,249,531,130,
209,351,183,323,358,512,519,496,523,773,495,152,292,527,372,633,100,809,702,
797,129,423,609,859,702,596,486,023,372,336,312,682,240,778,036,825,184,515,
747,035,700,017,144,287,382,264,286,849,875,299,386,393,351,214,820,741,606,
134,039,064,371,140,822,974,328,647,801,957,659,462,952,216,884,386,616,493,
290,427,657,191,786,006,248,833,452,000,570,100,327,406,053,345,187,081,928,
371,667,821,978,152,751,064,677,441,199,504,824,398,125,769,320,342,702,897,
839,274,412,046,905,728,449,424,954,475,418,838,265,185,452,867,633,216,640,
936,634,735,508,917,072,599,099,786,237,953,886,741,147,030,946,501,062,656,
098,230,215,327,940,257,923,267,727,144,482,129,466,705,722,711,069,757,303,
722,287,541,917,054,447,481,416,225,309,748,440,581,486,864,764,429,944,880,
575,707,834,214,560,398,534,614,157,081,730,998,656,247,474,933,765,101,564,
464,735,096,962,241,323,343,009,007,771,126,376,545,285,419,125,323,205,109,
399,362,815,469,547,631,759,976,937,152,862,973,374,403,421,254,417,503,923,
769,424,229,059,957,077,084,221,102,241,999,158,987,031,839,374,981,592,355,
573,661,357,399,788,465,839,617,756,014,883,566,505,011,741,634,678,572,506,
894,949,796,064,551,408,650,697,044,366,362,164,399,592,769,617,162,458,138,
076,798,800,117,047,302,813,113,929,732,075,048,272,524,429,076,337,829,958,
622,927,698,326,569,761,874,068,664,493,848,840,535,457,634,774,315,635,924,
343,100,414,334,425,289,436,895,961,831,084,072,458,457,700,680,065,991,254,
614,560,777,198,293,785,493,122,455,705,155,130,969,503,635,580,539,232,547,
246,807,354,638,297,946,938,205,150,167,451,989,681,578,743,379,800,429,003,
958,411,200,814,942,426,505,311,561,994,000,205,793,474,142,576,657,975,772,
395,048,574,666,465,687,089,919,773,737,264,261,791,054,655,491,701,655,106,
344,140,590,613,159,822,624,892,836,116,175,447,358,440,166,661,880,619,438,
018,265,435,031,475,614,061,962,208,841,249,382,761,353,380,111,648,904,402,
963,616,156,516,941,008,071,456,924,923,292,925,184,288,900,749,430,219,936,
914,705,476,952,695,102,833,269,352,930,923,683,687,336,415,808,822,237,738,
422,857,731,430,214,088,210,741,744,805,941,288,205,643,290,311,737,186,022,
348,246,043,271,080,742,484,840,020,199,411,150,692,364,149,079,984,760,171,
101,165,312,399,820,942,810,189,606,139,472,091,646,641,294,709,495,284,361,
606,233,019,338,673,925,822,082,920,215,108,555,062,143,862,057,779,481,714,
848,271,832,916,413,836,649,144,498,134,970,192,680,080,849,012,297,024,028,
950,252,270,791,868,450,062,893,521,445,317,201,956,530,617,969,481,807,342,
829,981,544,571,863,130,779,695,074,085,298,559,128,129,752,068,717,574,823,
776,888,063,928,004,815,182,138,630,595,238,822,100,238,292,079,992,430,128,
893,201,325,612,815,859,746,374,166,105,112,953,792,438,868,872,623,808,761,
545,474,903,358,106,732,036,432,180,476,823,276,531,483,127,623,905,337,156,
344,740,421,891,606,277,468,970,481,082,050,286,029,310,579,925,416,247,422,
823,985,418,521,505,892,657,697,192,570,393,310,946,958,360,034,384,507,170,
635,557,547,948,205,944,759,311,723,992,676,228,416,355,143,487,008,980,385,
567,227,966,400,403,783,295,338,226,192,667,081,026,678,208,767,375,500,651,
231,714,514,540,441,908,078,233,747,555,203,878,945,914,348,927,556,666,555,
809,481,158,464,920,416,180,213,506,555,729,343,074,349,951,530,192,014,541,
822,582,477,983,411,454,537,557,214,803,684,345,541,784,748,069,733,958,384,
218,968,164,331,548,584,318,701,997,658,484,976,482,843,326,436,670,262,597,
652,470,339,801,877,195,187,628,471,702,926,775,349,088,634,839,825,078,320,
615,656,880,589,110,603,099,493,985,337,297,216,291,636,063,730,123,019,612,
265,507,635,095,073,396,492,956,235,098,696,439,974,101,025,036,773,533,874,
400,943,258,074,449,315,206,196,211,866,946,640,133,904,945,539,340,695,996,
963,722,984,750,516,475,849,434,509,000,764,539,416,446,919,428,900,534,595,
834,077,647,066,954,611,209,112,293,228,534,916,545,119,103,547,915,298,280,
629,834,509,935,883,689,064,206,913,905,361,013,605,204,902,836,075,503,356,
421,516,902,193,562,719,807,585,277,003,514,773,181,210,499,022,695,582,175,
182,036,816,022,647,506,321,410,017,146,462,563,071,896,321,364,108,369,639,
006,889,276,402,877,986,173,093,625,978,405,966,464,908,395,867,245,015,941,
637,637,939,314,779,806,895,365,307,149,888,219,586,535,907,657,669,410,810,
196,415,227,042,121,755,434,465,956,655,535,501,433,084,774,782,337,991,306,
274,234,030,165,976,963,872,233,834,597,529,201,933,889,529,379,899,414,913,
686,397,497,570,035,288,050,325,513,430,694,323,187,458,999,112,835,425,133,
300,559,022,925,896,118,058,985,750,769,259,750,757,268,263,852,011,066,096,
962,736,925,664,070,740,218,063,366,283,805,170,512,287,233,749,779,630,749,
275,697,281,008,746,992,903,557,409,805,002,916,166,386,992,313,250,904,443,
538,604,385,104,804,250,211,908,855,631,350,698,302,779,668,426,903,743,642,
964,586,413,439,145,095,251,626,073,882,130,686,426,167,415,418,926,271,816,
402,839,835,544,278,633,383,099,456,988,759,586,746,907,205,101,536,862,439,
391,223,274,134,183,510,490,268,726,540,205,974,549,147,625,469,853,913,499,
112,738,323,752,757,627,458,637,813,372,437,305,447,041,802,765,011,625,307,
868,236,890,148,221,450,435,599,380,013,905,419,984,473,421,765,939,035,273,
760,428,105,990,117,846,206,380,862,714,756,245,379,453,617,842,222,166,123,
279,956,077,473,094,647,458,368,817,968,016,715,785,485,591,333,587,724,429,
617,064,741,611,908,715,318,926,986,017,000,173,495,508,821,840,780,874,860,
615,201,468,377,324,399,840,328,187,284,741,620,224,578,048,328,508,932,488,
961,317,995,010,467,135,457,220,096,067,538,392,015,525,249,164,371,742,455,
525,734,288,173,400,214,685,522,607,136,877,035,062,123,601,479,087,794,388,
380,403,977,728,143,801,892,567,227,922,908,624,095,730,933,642,360,040,949,
306,827,495,873,749,135,020,282,497,555,099,868,133,916,023,528,566,479,516,
672,529,384,932,788,324,148,030,031,819,811,203,608,812,451,793,672,254,324,
008,524,027,052,576,457,380,455,258,796,456,749,757,455,583,418,619,814,708,
503,180,559,926,792,539,821,155,990,739,237,178,414,653,585,572,109,669,605,
992,074,431,470,892,790,385,866,548,571,472,009,746,097,423,237,774,591,791,
981,059,204,262,748,341,768,934,383,457,784,647,536,912,274,354,708,551,567,
386,389,698,026,175,155,375,550,911,350,880,106,903,730,995,413,306,744,423,
358,287,975,354,370,095,512,459,874,319,328,871,410,109,547,564,132,176,772,
688,952,826,527,908,204,171,436,262,238,486,610,656,278,308,361,440,524,213,
890,834,812,876,291,527,218,212,221,080,906,657,079,957,028,639,632,392,169,
088,176,211,418,232,989,588,404,850,216,598,046,188,851,314,713,230,771,921,
573,725,774,761,957,712,726,122,031,418,783,322,388,072,338,587,942,470,415,
013,091,229,956,060,310,638,828,064,409,537,502,192,370,532,159,536,212,178,
702,502,491,187,519,019,987,501,308,823,651,131,374,017,179,694,803,709,511,
015,432,415,563,227,868,900,546,158,597,439,032,120,252,828,249,642,585,552,
056,889,036,072,258,071,921,177,587,161,527,047,904,225,928,214,373,868,080,
064,265,333,168,831,540,696,047,692,449,914,449,800,236,633,507,226,231,971,
419,398,082,643,646,749,263,027,425,702,529,985,290,135,665,008,104,656,957,
994,885,429,106,464,655,893,232,735,081,276,051,794,817,171,673,164,247,397,
337,875,394,554,598,642,354,314,775,989,557,090,135,158,194,793,800,645,825,
774,787,445,927,314,352,945,896,224,337,882,904,117,059,138,439,875,010,185,
935,076,365,667,729,161,378,221,274,683,865,198,409,255,288,420,468,933,227,
405,829,437,380,311,634,566,963,895,683,243,567,436,688,640,511,079,251,195,
212,721,081,153,622,563,582,053,426,605,561,847,342,400,394,415,426,865,647,
823,526,200,483,786,176,679,794,741,704,763,890,519,032,863,605,927,001,588,
879,770,730,233,274,654,185,419,125,502,129,271,841,099,904,462,031,274,107,
191,956,603,755,985,034,057,496,388,639,761,290,850,484,973,116,734,566,132,
797,600,959,282,919,556,845,656,965,293,052,351,168,465,443,506,745,006,260,
619,679,730,232,640,374,490,699,106,457,838,748,308,935,717,617,577,025,270,
135,735,326,084,992,338,117,070,935,793,746,972,587,904,688,609,913,626,656,
420,938,285,705,487,084,691,788,504,251,335,192,558,833,781,686,651,447,071,
396,393,514,170,657,514,341,371,085,770,913,345,285,007,944,425,438,989,618,
997,960,320,361,947,316,449,536,642,994,589,890,362,180,077,592,351,543,768,
121,276,330,756,359,768,913,877,744,831,655,980,496,251,915,321,376,972,584,
093,404,607,518,011,998,586,449,560,143,194,307,958,839,923,202,170,051,426,
879,714,206,247,492,084,651,174,378,246,354,965,359,776,980,062,435,885,266,
152,924,379,520,967,471,653,939,982,374,333,290,742,880,018,660,591,794,768,
639,695,976,017,347,666,670,736,697,356,461,091,721,858,825,822,151,849,071,
374,588,407,726,690,416,486,338,187,275,379,282,006,922,734,251,846,859,350,
928,045,154,456,598,517,092,447,011,562,729,991,724,889,375,802,853,942,571,
715,099,273,190,960,653,417,291,538,793,179,271,667,835,782,854,870,345,962,
587,417,409,355,125,668,524,623,756,517,345,736,526,708,838,363,670,240,848,
807,350,614,140,792,431,144,763,341,025,430,338,687,622,389,806,242,408,942,
887,628,644,740,357,631,924,229,838,376,183,739,406,379,230,123,789,459,892,
606,697,100,889,990,262,451,594,857,104,692,262,297,350,692,618,733,443,878,
546,962,567,564,316,749,787,162,824,555,944,273,470,721,130,184,741,060,486,
256,335,685,088,854,092,978,957,636,912,948,487,560,208,691,978,591,507,428,
304,112,079,519,906,046,911,737,585,725,999,634,287,750,704,501,959,647,657,
790,741,919,081,989,205,147,211,243,465,704,878,100,810,997,648,994,733,570,
038,395,176,235,972,512,868,794,934,242,228,356,845,614,879,160,469,762,190,
007,343,968,038,155,848,321,167,634,503,318,444,221,945,594,220,279,324,214,
885,368,653,870,603,934,733,468,978,471,509,663,176,367,865,427,073,176,085,
252,439,662,225,241,376,706,169,625,606,995,452,226,628,339,090,009,531,266,
485,124,026,061,965,573,100,586,023,366,633,611,883,717,141,133,073,678,336,
154,675,931,836,696,035,267,920,463,718,532,493,418,966,611,441,132,115,019,
850,469,241,247,741,239,081,167,024,324,886,857,055,663,679,786,902,430,648,
286,663,047,685,312,730,337,012,908,402,133,353,234,064,172,828,654,289,704,
334,495,921,610,938,870,953,598,697,071,009,392,928,336,670,672,848,467,238,
757,807,671,318,358,641,914,880,739,089,169,080,818,516,788,815,648,824,586,
575,987,493,308,692,417,314,223,849,012,726,085,454,409,831,355,512,346,894,
869,717,499,782,334,614,733,864,560,080,030,253,150,566,836,626,749,129,562,
496,152,736,109,029,032,534,609,653,448,964,337,105,030,912,506,166,155,835,
055,976,586,192,763,637,613,596,356,397,167,157,692,793,964,550,215,868,873,
204,468,309,806,586,438,363,204,293,546,644,665,177,082,941,818,738,196,891,
031,643,394,126,486,647,431,242,988,358,710,377,757,567,011,006,669,533,577,
226,568,908,977,128,240,515,540,124,235,231,954,331,670,460,261,667,474,073,
870,070,436,393,204,470,499,609,912,809,926,717,530,099,485,830,439,739,001,
366,469,290,097,732,186,113,274,124,473,491,461,100,131,531,799,738,407,043,
173,965,973,304,703,496,446,174,793,107,117,660,344,634,840,727,529,654,147,
440,532,234,621,944,492,700,138,290,111,362,876,703,526,672,960,743,995,436,
370,524,969,348,183,532,036,370,812,734,428,115,365,160,283,636,322,506,486,
806,595,889,235,101,305,043,292,090,348,234,806,962,460,826,884,579,901,114,
788,560,512,988,446,500,048,235,329,753,112,204,514,972,373,861,970,626,063,
527,539,224,320,888,794,231,190,797,230,805,341,428,958,224,921,984,508,568,
568,684,082,886,562,854,559,864,362,801,079,935,456,297,355,108,109,322,809,
194,525,255,139,300,670,638,438,951,217,190,583,600,432,048,231,982,219,223,
550,324,642,530,774,403,767,468,717,482,423,142,462,236,249,759,984,049,517,
245,603,484,051,862,384,195,987,895,248,304,075,614,457,112,026,285,858,871,
257,302,408,925,075,213,292,057,948,618,085,325,798,483,042,943,309,806,868,
118,749,258,188,681,767,169,507,518,706,710,354,229,019,320,948,777,446,448,
645,142,042,088,702,588,692,717,855,953,030,512,251,327,243,310,597,444,169,
424,865,871,068,739,019,263,986,502,498,820,221,386,099,415,265,228,724,812,
402,632,406,525,723,325,889,025,056,732,136,191,628,613,899,307,038,326,916,
595,674,439,594,792,301,933,077,100,210,198,822,883,056,216,469,031,116,351,
027,506,738,455,804,882,024,786,168,714,576,630,764,935,512,916,224,267,523,
905,853,494,368,733,832,142,275,315,271,780,870,266,322,227,708,402,199,930,
419,899,835,463,572,291,904,648,327,333,591,441,561,982,217,956,698,491,878,
859,001,419,477,916,363,122,174,488,226,418,107,035,635,229,055,184,638,674,
457,380,516,434,647,655,085,168,125,056,163,065,991,287,736,333,427,209,479,
247,169,133,309,851,776,283,098,830,911,898,031,751,327,066,707,326,855,188,
916,395,309,418,654,857,504,785,382,860,442,930,802,970,686,115,462,388,830,
377,289,343,489,321,306,245,347,765,286,815,424,388,865,889,786,246,132,454,
804,242,627,659,175,945,904,811,886,309,807,171,564,375,065,132,159,078,550,
173,854,420,993,570,646,046,920,705,746,116,194,929,284,181,250,166,620,401,
964,241,070,947,641,553,208,587,463,894,164,645,733,537,914,852,831,661,377,
491,323,312,393,837,900,624,675,051,162,262,435,529,729,939,778,043,192,339,
176,053,098,136,602,807,447,068,395,030,774,983,561,772,518,345,142,274,789,
227,606,186,830,878,769,897,983,143,440,716,223,996,328,778,573,038,698,156,
953,186,650,572,443,102,066,307,148,629,329,252,627,258,530,124,370,503,206,
694,677,273,111,170,582,954,783,173,693,171,874,170,957,696,507,077,892,692,
096,501,380,865,578,585,593,862,301,856,758,908,244,444,158,596,625,149,219,
686,101,466,643,045,167,268,116,478,921,566,536,041,933,493,124,332,151,713,
499,610,584,413,885,147,194,795,391,571,535,450,837,866,341,030,069,371,916,
167,843,235,414,376,862,682,332,457,211,135,648,238,809,929,642,599,371,528,
071,819,263,282,308,603,194,816,333,786,562,154,466,349,762,489,502,225,993,
682,889,937,574,602,526,606,700,505,129,969,341,643,273,705,058,002,918,057,
414,444,612,300,264,343,882,172,949,503,192,510,852,304,946,445,379,642,675,
999,203,441,383,917,386,068,852,694,164,867,118,707,472,364,592,755,379,513,
072,668,705,530,822,985,692,972,855,256,228,749,980,171,100,929,589,140,142,
042,145,112,855,188,136,673,420,189,926,933,974,833,993,359,916,118,268,721,
765,261,291,782,493,679,190,497,530,976,647,394,187,177,012,276,868,977,668,
697,444,110,815,239,635,727,388,833,347,301,890,810,915,760,315,895,160,686,
356,280,772,879,960,774,639,095,132,615,310,157,491,515,548,934,494,254,693,
430,924,462,399,427,485,184,420,811,429,464,986,836,763,365,863,090,933,139,
452,149,408,226,949,000,756,332,597,593,765,748,302,792,179,841,822,909,074,
838,864,838,998,506,908,879,969,652,108,296,215,585,252,082,505,879,119,243,
723,168,848,660,334,102,106,461,851,161,846,401,171,701,838,348,387,638,605,
344,218,547,441,056,469,371,665,031,010,109,384,882,235,953,198,609,811,163,
110,286,245,725,753,939,428,949,840,266,741,242,901,569,934,850,430,617,162,
811,259,381,364,998,116,835,380,116,078,643,860,677,925,324,650,724,465,249,
396,193,210,798,383,862,069,924,761,199,289,290,272,980,513,312,082,197,294,
532,805,121,695,523,072,284,774,712,098,022,433,912,742,284,635,693,702,814,
021,133,914,941,403,612,625,877,347,362,970,026,942,319,766,516,395,239,310,
640,518,693,090,931,789,032,423,839,434,898,317,895,547,644,547,001,176,318,
312,466,440,346,514,913,065,396,225,283,091,562,633,011,163,674,409,058,041,
370,560,045,328,055,107,445,945,732,651,270,764,912,695,073,522,984,316,294,
711,120,566,376,415,206,220,635,527,700,696,470,538,218,830,852,958,627,938,
542,055,869,351,346,092,551,380,218,356,042,810,497,925,763,326,691,205,835,
500,489,073,663,082,121,906,642,418,811,896,869,889,637,454,943,595,476,278,
244,199,678,137,530,810,517,300,718,004,352,043,647,378,739,336,050,174,570,
462,821,507,607,802,164,361,295,266,089,737,460,491,880,917,145,407,748,877,
155,921,486,485,173,260,947,177,509,583,105,544,077,554,780,821,126,794,578,
299,237,947,776,209,890,117,607,279,365,999,691,920,399,347,508,364,888,462,
758,519,100,435,352,767,317,982,326,053,966,617,249,038,263,831,026,128,492,
698,453,594,595,781,792,321,385,875,868,223,222,855,794,712,744,580,590,066,
310,911,383,363,963,698,143,184,242,470,316,029,222,947,181,373,944,931,854,
287,148,172,924,864,283,851,101,718,251,078,157,013,793,261,735,363,669,745,
076,512,638,982,701,133,982,453,310,432,708,567,452,629,192,511,661,946,970,
153,046,873,411,075,281,102,728,475,131,858,003,714,693,041,957,182,064,689,
059,797,021,889,249,310,579,412,821,429,046,114,828,452,528,016,809,544,836,
585,221,522,901,224,062,683,496,003,419,762,366,385,579,615,859,813,685,525,
013,391,048,335,113,378,096,822,528,931,105,490,914,234,162,484,660,296,488,
975,980,065,564,082,884,546,486,786,051,450,737,900,324,933,080,338,909,930,
034,310,535,620,417,156,749,786,667,983,451,633,395,893,769,504,354,202,468,
988,901,291,579,492,869,550,350,805,028,436,583,131,224,496,515,490,688,909,
653,084,035,860,105,977,484,458,987,280,289,106,946,234,369,721,183,760,440,
549,293,437,713,609,066,848,700,638,566,110,143,588,937,103,490,173,766,962,
170,389,864,158,343,415,459,056,520,974,196,471,646,490,078,992,908,256,178,
301,811,252,390,112,084,862,678,060,142,764,654,625,149,217,196,835,132,271,
851,240,825,677,728,686,922,095,952,929,435,233,049,660,590,385,211,883,432,
804,373,881,596,865,995,438,933,973,588,747,272,569,605,970,033,639,503,569,
393,738,484,053,880,995,682,927,779,921,553,110,932,962,581,608,007,287,289,
039,042,080,922,572,254,736,968,625,209,774,494,842,364,606,371,648,026,271,
772,069,460,827,147,199,513,930,169,726,843,547,257,302,696,698,855,841,669,
182,753,939,067,583,771,207,766,536,488,705,484,713,589,237,363,491,613,977,
272,049,555,703,358,819,277,479,130,947,563,763,076,698,482,480,697,730,639,
413,845,256,263,805,119,705,071,024,864,731,600,609,197,750,260,880,554,643,
684,367,426,450,040,521,807,724,444,928,305,112,054,238,899,130,201,169,944,
814,757,649,724,029,023,881,944,120,862,288,588,289,013,120,490,724,678,841,
040,898,015,115,594,583,312,765,339,279,833,714,572,888,562,677,307,999,285,
486,452,237,268,501,105,723,356,285,577,458,310,564,264,118,558,632,126,934,
142,471,462,211,667,745,598,122,456,530,810,997,792,075,012,112,877,985,787,
456,194,754,376,796,171,047,816,033,873,885,260,788,210,189,801,139,496,523,
772,001,719,873,722,786,881,207,978,803,704,893,656,818,903,255,268,757,044,
351,766,632,854,996,766,823,271,603,280,021,900,401,465,429,073,416,540,606,
413,256,444,824,394,294,493,480,257,682,881,670,020,977,788,876,468,830,456,
200,202,960,719,892,135,008,722,746,870,289,707,166,016,642,348,527,609,826,
390,086,705,120,242,822,543,345,527,206,359,436,954,846,486,662,599,345,586,
801,063,418,459,477,506,708,206,804,550,275,811,620,100,038,522,791,707,029,
757,713,056,811,517,530,408,770,531,434,785,406,865,267,955,587,550,652,690,
751,587,845,030,696,611,905,588,421,628,890,913,430,001,285,861,857,173,868,
215,929,687,436,271,275,312,684,917,849,722,495,930,357,081,731,407,983,411,
254,939,569,531,923,338,545,571,465,570,635,536,923,225,038,516,617,207,100,
475,226,579,950,065,098,133,026,465,838,578,921,635,648,272,226,302,571,180,
143,049,436,315,984,516,540,419,928,862,792,627,279,510,426,767,379,950,973,
884,570,997,700,557,505,218,697,256,136,225,925,024,482,393,250,043,394,326,
979,315,712,159,818,231,203,508,490,960,458,439,549,891,112,160,895,724,091,
025,184,457,154,177,480,568,266,780,020,756,976,404,657,188,922,314,028,871,
340,461,262,959,362,058,008,800,381,825,654,194,770,972,437,898,655,738,615,
842,660,388,107,017,628,335,119,305,755,179,736,513,263,345,576,721,456,172,
274,156,988,408,743,357,145,660,570,057,369,259,514,851,260,551,115,851,821,
789,925,586,783,346,886,950,963,880,130,374,926,597,119,784,468,145,197,942,
105,580,697,669,752,453,810,412,298,836,894,252,720,672,865,933,223,323,897,
015,419,986,603,333,855,222,686,111,801,211,538,184,561,404,133,964,576,056,
711,670,441,484,659,569,413,638,754,742,723,695,405,684,289,995,618,570,665,
863,121,198,369,598,629,763,782,554,090,825,823,826,058,279,481,344,715,084,
249,114,087,661,549,742,655,904,616,549,561,260,459,020,183,003,452,692,255,
828,275,152,056,161,337,779,274,638,043,021,859,880,315,730,505,208,886,001,
454,951,223,271,682,529,336,757,716,462,954,337,827,803,195,519,706,321,308,
191,595,438,303,501,995,893,988,320,204,086,493,889,821,515,972,172,032,159,
990,009,109,150,970,005,874,310,181,785,857,885,875,815,369,670,938,489,702,
093,213,075,437,420,661,391,830,291,063,085,047,487,934,281,889,087,048,986,
656,662,868,966,045,322,560,618,812,841,145,285,410,164,686,437,261,902,428,
733,964,264,041,188,197,810,259,835,705,489,725,010,833,026,384,810,217,987,
577,104,012,965,867,967,617,867,545,993,377,010,025,991,480,600,723,875,551,
638,969,718,277,081,234,987,809,266,312,203,407,269,271,817,420,446,602,631,
615,287,611,793,102,487,959,283,113,446,441,839,800,398,223,918,817,513,741,
149,006,470,516,709,535,782,985,893,376,583,050,597,933,009,332,962,969,537,
504,533,492,796,891,113,676,695,085,769,540,655,618,788,728,974,651,089,630,
068,234,619,815,595,872,759,201,738,640,684,155,587,556,415,130,072,727,592,
493,844,210,190,340,165,219,168,964,723,158,521,920,235,544,969,012,924,142,
057,278,323,147,263,549,876,479,832,362,777,830,478,689,474,748,708,941,427,
020,717,805,753,669,919,592,979,899,223,340,137,644,166,622,131,451,597,989,
075,771,113,300,262,333,050,156,296,709,454,835,367,897,303,297,905,009,672,
541,066,655,064,696,490,346,126,287,081,609,915,886,849,431,335,416,549,687,
686,862,518,688,761,751,316,706,632,283,173,310,242,298,287,840,075,393,326,
253,640,336,069,345,510,910,025,832,038,592,468,030,306,665,631,964,699,240,
617,474,732,578,138,690,989,817,748,755,444,824,354,227,840,734,841,898,615,
239,477,682,815,701,834,342,343,483,659,235,924,912,790,939,308,776,442,645,
450,143,965,004,738,132,802,650,673,071,799,144,381,331,114,062,001,825,189,
857,275,155,732,762,652,149,992,680,552,861,802,767,497,352,970,428,458,092,
717,151,959,025,277,206,806,907,058,263,349,607,251,112,722,973,182,689,974,
297,348,739,250,142,341,202,438,151,298,294,521,946,218,051,742,041,553,398,
708,976,438,706,526,997,180,649,415,973,183,134,703,637,996,597,907,195,550,
929,403,412,709,512,004,220,875,848,073,702,945,200,081,854,511,677,569,185,
935,890,702,515,795,503,841,291,810,235,302,996,551,015,543,068,806,019,342,
522,373,351,336,449,290,565,928,540,520,634,767,347,110,202,591,695,003,340,
128,679,799,867,361,914,211,868,178,802,848,968,251,831,406,241,803,211,140,
719,522,177,757,047,654,060,129,634,235,936,459,400,804,416,107,646,399,474,
009,818,315,863,785,979,608,680,320,551,560,954,044,226,921,853,785,199,806,
108,799,130,927,752,765,001,340,100,174,633,503,586,888,273,483,807,160,335,
768,010,319,582,710,810,612,871,136,483,372,651,378,805,490,158,359,612,559,
920,810,573,924,377,135,517,894,354,130,541,033,659,743,270,088,109,494,325,
431,950,842,386,915,976,703,114,821,225,382,855,151,335,633,684,880,135,545,
532,969,442,159,758,914,602,351,832,235,603,753,489,259,922,509,629,680,654,
423,801,851,742,452,678,508,083,602,628,949,576,777,584,959,019,699,797,902,
894,209,794,622,683,080,532,894,279,850,077,528,566,778,912,325,290,307,569,
199,708,512,730,318,434,800,547,278,571,737,620,805,140,970,511,366,479,929,
294,368,396,791,932,766,904,346,818,145,091,292,137,918,747,289,240,951,371,
039,717,293,993,839,531,347,677,562,697,180,694,615,484,240,041,232,666,599,
674,628,497,566,027,249,976,486,585,795,952,119,114,713,830,790,153,973,623,
944,118,041,892,191,662,844,043,761,847,652,486,045,911,852,332,788,969,350,
247,117,976,457,905,587,172,440,596,599,853,711,167,472,043,727,653,635,768,
612,280,413,203,562,509,154,787,730,975,254,130,323,344,622,225,884,652,970,
616,792,193,492,571,314,982,175,203,114,859,827,706,229,399,401,090,645,214,
877,255,646,070,455,345,599,559,469,940,608,480,621,321,522,253,472,468,684,
627,246,426,820,137,274,384,092,779,206,951,908,739,267,989,281,279,839,900,
824,642,207,170,183,792,540,276,439,373,880,400,348,502,807,190,898,643,558,
666,870,960,909,559,468,271,082,089,926,523,471,681,692,055,517,896,945,724,
925,607,988,235,610,356,071,134,333,940,362,322,475,808,826,594,089,932,696,
482,517,397,073,782,702,245,916,490,371,531,614,115,907,543,603,544,759,159,
360,363,525,513,470,456,026,375,952,811,022,917,569,056,822,698,017,172,973,
911,809,415,574,342,101,899,976,066,892,564,088,767,386,072,003,258,386,944,
233,762,869,207,507,361,764,850,147,648,745,011,652,351,480,397,224,565,216,
076,126,344,873,206,559,431,872,289,807,928,478,617,115,348,307,594,032,146,
740,349,453,439,516,942,593,383,877,482,115,054,079,237,158,408,862,472,628,
345,155,246,853,602,126,596,921,574,314,212,277,830,976,091,006,232,393,194,
813,266,626,621,697,416,936,244,123,915,223,109,019,388,620,910,436,900,306,
115,034,484,351,872,149,201,584,234,377,084,557,871,159,588,325,456,577,153,
993,845,072,065,311,443,180,302,400,736,982,559,421,587,889,436,709,674,292,
800,741,418,337,609,202,034,662,367,681,509,001,216,133,007,691,312,170,167,
329,883,794,258,891,916,811,841,744,920,972,639,574,873,611,746,606,964,268,
071,192,579,145,038,991,998,916,628,461,913,561,340,762,452,042,873,970,656,
977,030,827,128,925,197,369,072,756,066,948,912,086,417,134,382,508,944,099,
982,589,503,857,361,348,656,649,130,919,320,606,244,331,660,631,544,825,168,
081,556,583,288,176,109,008,522,855,225,432,311,658,767,242,056,415,366,316,
422,825,470,018,435,909,704,199,906,630,682,984,959,759,577,765,563,613,223,
033,750,245,367,716,273,379,592,469,270,912,536,564,496,295,037,336,841,729,
776,945,173,844,271,074,849,473,952,097,760,198,577,844,680,473,006,869,642,
055,347,926,856,369,321,458,678,263,032,499,730,895,385,725,616,274,711,278,
134,686,267,901,556,101,360,915,823,292,754,252,189,622,609,361,045,189,952,
316,006,112,328,886,604,325,241,542,898,719,673,344,313,337,956,693,063,500,
438,861,771,286,794,268,229,199,503,147,928,768,697,598,093,952,224,088,735,
371,473,143,486,281,416,169,870,367,767,802,548,574,735,571,260,493,971,356,
582,642,927,952,171,516,924,069,057,919,141,248,019,608,404,456,752,353,791,
630,736,914,978,940,702,519,796,442,405,136,649,120,295,594,743,166,698,460,
121,608,368,898,212,180,195,454,988,578,231,218,620,844,879,790,115,018,656,
934,753,184,963,859,558,594,334,779,480,689,265,330,748,636,121,514,303,476,
964,287,770,013,258,172,926,303,563,360,975,479,782,163,783,426,487,268,730,
309,183,204,282,551,274,367,942,495,164,756,287,428,599,164,162,852,005,176,
109,825,769,724,814,695,744,035,412,678,934,521,541,326,914,249,856,083,967,
405,154,635,240,532,056,351,012,115,583,702,659,762,412,369,606,782,782,612,
342,225,355,938,871,857,006,460,911,239,808,199,392,401,928,761,626,202,709,
380,152,006,115,488,105,409,904,103,847,066,009,222,300,168,301,143,974,510,
784,985,439,693,698,029,718,763,317,664,540,535,803,007,381,233,097,177,378,
319,270,446,950,922,013,892,766,819,448,032,986,557,329,760,278,386,196,849,
431,311,227,372,117,001,826,670,437,962,156,533,224,949,150,427,909,903,976,
165,638,744,216,839,518,554,534,132,192,733,867,319,960,923,553,736,982,547,
268,489,756,983,027,119,807,402,574,448,309,621,574,742,840,879,721,373,606,
727,055,362,880,704,140,464,923,288,747,714,535,855,290,182,893,050,683,692,
792,960,822,045,204,169,546,041,176,604,369,176,562,772,957,332,388,266,343,
653,599,995,102,621,268,174,089,940,463,073,505,427,300,826,898,001,765,085,
736,438,067,709,386,914,400,447,517,180,163,745,964,059,825,096,397,120,627,
938,172,951,479,567,852,320,573,623,846,175,744,644,523,227,080,986,308,737,
817,145,454,929,789,840,180,549,458,733,470,503,728,688,644,581,624,776,960,
126,892,483,480,223,180,047,549,278,374,298,634,772,326,596,456,003,973,548,
724,866,061,896,595,986,833,809,738,405,986,319,372,317,860,826,867,293,997,
703,614,897,297,922,489,940,422,213,652,089,328,371,974,871,975,078,507,567,
296,390,591,118,462,490,292,356,001,129,209,914,226,552,189,030,516,642,399,
379,930,373,326,375,103,971,894,352,511,314,888,542,010,139,443,183,506,378,
847,988,090,773,007,726,019,231,177,927,459,481,496,459,669,541,551,121,927,
089,570,982,539,245,482,875,676,816,733,478,111,137,066,484,782,200,015,267,
012,896,561,875,194,351,526,418,450,235,091,613,010,933,376,509,502,981,031,
873,524,264,652,440,457,286,115,573,844,587,756,581,697,645,436,763,204,594,
448,426,307,270,506,360,862,736,664,374,306,478,200,795,853,708,469,017,478,
812,816,241,934,942,429,565,552,919,353,755,023,536,072,145,163,734,181,910,
787,926,610,847,688,649,130,911,875,817,921,976,038,680,457,648,331,499,180,
940,011,705,141,701,476,440,920,536,913,803,088,608,734,195,290,798,130,183,
961,843,816,765,869,325,927,255,337,536,302,612,424,195,574,227,816,829,219,
326,681,385,258,835,286,686,009,463,609,145,631,331,342,218,512,039,116,074,
054,475,209,038,749,206,335,898,847,805,503,967,105,914,927,093,791,176,690,
712,572,261,083,564,306,641,716,805,929,753,286,560,741,430,629,567,554,530,
115,455,097,299,326,808,811,564,885,884,200,407,501,448,757,249,952,218,494,
044,141,693,037,359,526,296,137,998,413,880,959,758,292,038,155,222,291,637,
378,430,385,821,764,890,731,026,474,546,301,508,403,643,924,050,578,957,967,
624,841,997,651,092,454,552,020,875,475,010,970,219,413,579,972,040,695,633,
402,076,091,906,810,377,544,198,992,615,782,939,524,950,709,373,228,681,406,
957,608,112,793,869,007,452,131,512,419,621,176,263,058,329,900,159,813,563,
110,114,566,968,781,544,130,684,960,268,924,270,879,539,045,042,425,258,788,
429,179,166,854,360,011,656,673,078,459,181,367,563,090,382,970,214,635,440,
521,508,310,261,177,115,934,862,517,527,799,788,867,032,722,535,740,762,857,
133,907,620,542,429,306,688,648,774,801,258,138,836,699,252,427,468,254,063,
186,889,908,221,304,183,680,611,441,138,225,073,064,406,149,001,833,499,688,
395,474,923,806,485,251,728,914,511,860,467,919,477,829,002,386,667,684,075,
472,544,759,241,577,783,318,013,067,080,177,903,565,563,786,216,308,650,920,
351,903,688,589,533,980,378,556,504,845,318,038,339,405,785,221,935,859,257,
282,702,936,686,672,217,097,278,191,131,286,537,454,637,553,127,594,316,004,
938,647,806,346,549,395,286,052,951,774,132,960,027,731,849,219,137,858,062,
253,946,206,028,450,527,669,001,830,539,340,696,643,913,654,397,864,110,246,
728,802,759,750,213,112,361,617,603,872,753,793,723,031,783,238,478,075,337,
600,585,062,005,427,932,139,290,798,564,581,529,122,648,148,131,031,235,582,
467,652,041,270,917,963,709,385,610,096,740,887,636,569,953,452,336,560,357,
549,941,707,390,439,834,256,510,557,533,402,181,240,421,121,327,132,922,888,
933,484,265,867,996,880,280,125,784,593,342,900,513,744,720,920,461,187,585,
150,624,831,683,730,068,153,979,772,255,232,898,562,722,361,208,793,798,276,
795,621,091,279,323,539,478,820,781,939,107,078,133,735,541,652,268,508,744,
898,506,025,453,608,991,091,747,254,952,698,939,351,823,798,615,521,093,566,
554,266,827,625,679,090,853,913,547,486,396,394,878,297,200,565,634,058,101,
834,616,887,033,945,043,633,632,138,154,591,358,241,159,208,945,003,965,820,
125,320,761,451,247,289,044,846,208,639,792,424,658,658,004,903,951,236,443,
281,566,556,211,230,664,131,520,769,313,574,382,412,109,068,813,602,298,869,
672,318,174,429,941,379,114,995,799,209,392,531,746,312,056,279,046,888,789,
796,598,903,438,539,287,215,932,983,209,109,769,100,178,353,119,362,039,980,
402,048,214,321,677,776,373,746,535,665,187,100,616,536,485,466,289,950,889,
463,465,207,696,146,584,596,948,920,939,155,818,402,150,290,747,415,199,346,
335,057,989,663,829,575,443,663,262,173,119,331,244,440,743,657,100,706,248,
911,052,655,692,570,260,596,905,530,168,398,419,996,611,156,865,837,251,934,
250,112,348,141,257,298,628,313,589,978,493,663,585,613,043,153,628,899,891,
638,251,920,694,604,251,455,378,122,362,096,529,573,279,400,733,013,522,969,
379,655,692,939,726,030,074,798,475,477,078,146,537,120,891,365,196,500,229,
243,511,721,264,289,139,684,026,005,320,833,649,609,752,317,822,450,212,600,
260,140,857,829,642,374,891,160,636,335,560,854,838,708,984,632,538,886,380,
322,682,955,376,400,137,542,926,841,791,947,248,755,410,157,314,062,304,515,
140,902,630,030,890,305,526,645,399,480,353,250,494,650,062,866,322,501,933,
007,813,228,309,530,318,326,137,835,285,016,926,495,870,649,109,655,513,826,
030,129,098,465,609,128,825,569,776,197,053,279,684,245,627,719,392,925,144,
944,056,149,097,111,298,679,350,005,471,222,620,220,690,474,854,188,449,450,
457,753,283,364,197,275,337,540,368,607,282,555,508,010,034,872,233,733,247,
639,048,118,701,455,454,285,199,421,711,624,114,813,351,327,644,164,242,297,
358,578,454,862,749,665,406,169,862,736,468,357,936,961,869,339,211,159,559,
280,264,907,799,377,967,103,126,812,199,300,194,391,576,404,781,686,718,039,
071,921,766,629,257,893,785,824,339,863,910,435,999,876,116,115,744,665,440,
200,609,654,447,325,253,449,847,531,273,405,304,839,030,529,063,458,802,000,
888,443,789,058,692,215,870,571,829,866,837,233,803,307,379,353,072,178,594,
951,565,585,434,829,807,878,207,015,140,958,101,619,855,307,904,221,420,176,
458,303,060,269,979,592,366,536,170,699,332,632,839,760,316,411,922,255,327,
658,985,626,066,834,730,143,915,815,111,161,459,227,476,152,407,626,716,408,
438,682,383,881,541,971,012,921,221,981,455,224,418,908,062,371,319,846,793,
199,259,951,343,781,613,375,735,428,971,294,851,670,805,095,281,427,865,101,
789,982,498,277,658,552,506,068,440,591,861,024,522,187,351,155,376,928,613,
797,432,258,268,943,949,433,098,766,655,528,476,364,967,352,546,175,675,770,
785,204,209,402,472,990,024,664,384,534,385,746,601,176,523,118,466,017,777,
553,983,735,474,576,317,990,760,812,964,943,979,727,182,698,372,088,941,302,
289,155,071,541,987,200,485,706,135,957,952,099,652,968,603,135,805,875,510,
850,039,944,744,281,951,581,230,478,017,283,045,726,916,952,671,177,455,054,
073,599,238,345,318,202,727,459,539,307,325,231,873,229,109,172,654,969,400,
867,762,007,746,345,880,728,013,072,685,885,103,594,169,675,399,258,972,708,
445,882,242,622,439,942,135,574,651,472,585,338,270,688,946,509,898,744,337,
529,808,737,707,563,357,410,094,548,272,608,167,232,730,797,390,177,645,986,
368,114,760,478,670,743,753,364,316,474,643,831,276,654,731,395,844,790,129,
027,379,606,079,339,813,228,526,517,972,288,249,934,308,096,381,586,959,564,
211,301,312,667,316,719,676,948,291,745,083,615,223,996,025,832,170,388,294,
837,290,590,701,079,413,855,370,891,169,820,504,054,371,480,395,976,823,942,
100,209,384,240,573,703,903,204,655,354,228,343,422,581,845,539,227,223,103,
591,635,045,823,360,693,635,855,537,859,183,357,936,474,129,557,196,878,531,
323,755,029,758,433,729,133,520,704,583,018,393,777,282,646,874,951,274,613,
001,931,368,190,608,285,477,805,468,372,557,895,064,935,564,977,251,379,967,
348,937,628,849,923,285,905,374,979,740,652,402,023,552,123,964,001,411,461,
766,637,139,578,172,781,558,637,310,572,343,937,624,788,999,469,560,135,596,
922,733,079,473,888,912,290,675,949,901,564,141,320,677,718,660,044,561,521,
741,026,034,233,984,598,859,408,327,590,107,282,159,584,407,667,989,456,509,
857,980,931,856,105,932,934,903,004,258,021,827,666,397,282,049,717,242,941,
231,053,493,177,028,307,124,169,665,063,883,131,896,630,694,602,119,340,076,
205,737,339,637,667,719,897,210,972,477,517,867,520,890,115,710,672,329,152,
656,768,592,344,801,561,241,621,554,727,310,877,956,289,959,154,949,666,266,
415,259,227,487,157,670,263,646,946,005,466,774,090,967,953,338,874,204,971,
883,462,266,288,469,670,310,254,756,932,028,075,855,207,431,223,404,060,907,
214,127,760,596,293,285,646,702,547,299,398,466,406,421,187,251,036,705,757,
370,951,216,065,378,130,367,158,381,875,705,747,989,285,540,258,464,864,581,
269,842,970,993,194,422,761,505,442,695,123,879,275,131,531,704,421,345,948,
530,360,253,110,020,796,988,091,057,038,259,238,868,105,587,272,120,406,674,
230,918,261,205,358,939,773,662,386,958,066,315,643,327,428,650,387,788,207,
848,766,355,238,194,119,450,709,559,535,212,375,097,753,338,703,221,690,440,
518,487,565,457,081,305,707,408,840,845,845,981,863,849,895,983,511,765,925,
100,619,101,405,519,674,920,596,864,230,819,524,662,028,203,225,041,428,311,
175,335,532,489,148,173,531,904,500,975,214,301,518,822,388,236,362,351,104,
687,795,150,715,686,197,412,069,296,877,315,379,879,194,187,287,350,797,672,
274,559,703,135,492,456,584,083,267,584,171,761,586,746,999,186,498,207,329,
703,866,503,467,273,560,825,990,183,263,008,076,572,123,938,071,441,967,898,
208,405,570,031,615,172,799,686,663,657,043,608,629,226,695,403,429,335,167,
314,326,902,823,145,409,762,879,441,589,704,234,783,194,177,958,629,512,401,
062,102,928,014,103,723,913,855,982,638,030,738,460,720,775,544,599,265,685,
007,593,483,563,116,821,247,647,312,927,034,321,268,653,461,004,198,564,129,
864,088,278,299,083,596,089,507,797,154,449,720,432,820,748,925,516,360,754,
657,311,986,953,983,182,375,897,648,539,422,777,212,806,869,847,509,673,390,
677,004,480,670,710,741,293,798,887,321,125,937,060,746,950,931,393,799,723,
818,843,365,422,069,490,140,186,423,120,945,534,680,239,591,581,896,885,372,
045,509,565,015,165,995,056,645,555,593,596,792,538,451,090,107,667,617,674,
183,203,044,289,207,016,118,391,678,286,159,293,514,730,129,417,073,000,755,
134,280,247,965,373,476,523,318,180,632,146,563,207,756,292,068,757,216,032,
692,998,810,331,112,075,283,053,212,536,982,506,178,438,522,995,242,307,498,
649,772,638,133,750,476,775,747,555,667,920,782,847,569,869,769,138,453,815,
539,423,496,373,268,955,844,912,802,203,269,445,108,594,180,632,778,191,997,
642,806,971,266,780,186,377,636,433,746,978,843,146,717,681,396,172,677,717,
722,711,199,256,684,220,424,579,735,071,836,980,818,590,718,885,686,553,613,
572,289,457,895,652,671,134,168,612,391,654,901,511,497,648,588,898,571,391,
014,374,392,209,171,273,825,511,751,585,188,988,732,625,249,283,608,613,498,
032,178,318,487,424,685,992,422,133,602,223,598,541,621,996,784,951,087,435,
574,099,632,146,025,902,240,854,998,279,413,396,508,707,197,655,144,136,191,
052,744,751,022,597,009,285,351,408,556,266,763,197,402,507,471,996,681,824,
810,136,607,201,703,687,032,892,294,942,586,863,157,892,540,003,333,810,461,
084,941,166,755,069,311,521,223,991,698,444,574,918,846,406,418,636,218,437,
280,381,684,970,324,778,860,906,460,451,689,618,061,740,851,825,531,221,306,
183,013,210,384,140,821,416,817,927,057,714,366,165,117,198,233,840,728,716,
128,599,814,633,408,450,631,227,150,780,917,081,346,194,738,567,508,661,711,
999,908,958,699,060,304,210,071,379,091,709,343,408,934,776,971,674,970,466,
240,522,199,871,634,635,387,375,052,095,691,713,507,891,829,577,512,364,427,
451,782,100,138,642,992,926,152,550,011,643,263,762,966,521,845,303,169,519,
556,466,057,893,932,205,668,888,875,032,229,254,731,167,705,584,769,090,756,
538,182,680,044,913,065,938,175,132,120,607,475,294,786,456,906,949,254,869,
638,366,403,341,028,548,589,623,229,332,874,882,887,239,668,953,875,002,860,
140,536,963,256,564,217,580,857,426,475,090,715,215,956,810,868,206,523,995,
242,953,023,014,989,568,216,446,113,495,078,930,844,235,260,159,810,881,720,
604,774,107,045,982,174,058,699,629,424,637,122,018,753,411,483,025,312,916,
589,099,199,941,330,268,720,687,426,077,855,092,984,776,505,702,018,547,654,
593,116,587,210,139,220,498,516,633,038,041,862,919,320,179,467,126,159,757,
464,839,842,603,660,046,431,670,990,055,191,174,035,303,328,037,693,041,189,
008,601,574,105,362,627,453,662,621,065,832,798,638,242,857,823,338,149,977,
411,648,617,068,452,574,215,597,490,973,470,295,476,654,611,025,910,052,205,
235,463,527,545,423,478,890,916,765,191,011,213,372,563,883,056,946,622,590,
432,540,256,775,171,825,464,814,964,026,823,617,204,584,480,360,421,235,247,
211,261,747,749,698,133,903,779,299,150,130,567,125,403,235,856,155,072,884,
337,371,930,275,232,981,307,050,787,726,928,291,534,497,542,462,621,275,195,
122,349,721,970,934,343,809,253,237,002,270,492,536,548,104,652,999,142,107,
080,215,380,378,304,657,809,280,509,917,431,576,701,648,659,568,239,293,669,
725,173,230,155,589,198,119,282,591,298,529,491,693,841,673,449,526,998,722,
173,653,872,272,757,580,457,289,199,020,334,995,702,578,208,145,747,149,321,
998,464,618,648,265,376,549,503,255,767,696,155,894,130,813,342,162,677,236,
366,344,725,922,540,354,210,242,852,595,716,187,958,494,536,198,546,006,217,
194,602,822,372,861,736,149,162,446,088,239,222,791,245,307,673,385,737,842,
771,702,975,620,248,890,918,850,472,486,583,931,612,402,712,497,392,901,445,
331,229,136,318,425,416,916,137,523,043,000,088,826,394,861,375,380,291,693,
036,531,760,407,931,450,985,643,950,688,767,838,956,494,182,926,058,608,197,
774,012,445,417,292,287,781,567,273,473,413,087,299,860,046,357,080,532,389,
691,675,030,387,694,087,030,593,363,910,121,192,410,167,430,575,834,487,747,
864,078,945,853,452,560,447,618,461,162,678,670,562,344,357,672,134,752,110,
910,805,135,524,919,662,539,534,250,179,143,318,203,513,139,314,540,582,087,
139,534,456,477,293,542,341,875,070,736,986,991,654,497,453,421,667,993,319,
210,529,194,609,000,525,914,860,492,742,320,664,601,020,854,154,600,883,796,
674,031,228,204,766,003,276,705,671,277,765,582,944,046,486,845,837,002,787,
121,022,169,792,351,234,121,613,954,111,882,316,859,073,860,975,634,592,449,
576,312,344,692,732,385,293,999,003,617,979,859,661,278,435,418,593,943,990,
998,462,387,066,905,391,181,238,485,216,012,565,342,435,995,295,022,420,068,
035,823,721,411,870,244,286,834,244,303,181,860,518,166,390,288,090,273,008,
081,097,943,539,213,234,502,397,848,503,962,113,166,256,961,950,557,910,560,
099,311,864,324,210,981,305,679,888,187,359,699,817,441,618,518,816,516,922,
636,763,352,684,510,066,135,232,894,669,524,927,984,015,551,960,215,967,508,
640,384,731,778,726,346,040,089,566,309,425,713,109,978,079,553,632,443,824,
023,156,975,586,989,943,102,690,846,074,563,454,591,472,047,950,217,254,479,
955,972,990,686,423,293,351,263,727,506,751,606,859,314,801,047,729,663,713,
975,272,670,075,850,687,478,917,528,584,013,423,325,076,223,431,680,781,241,
885,341,259,525,687,790,684,733,000,345,787,729,862,840,478,525,179,687,324,
618,230,591,612,951,386,916,163,412,258,728,732,678,965,969,073,543,823,572,
222,616,157,476,482,433,661,466,281,108,935,755,176,807,320,226,789,075,158,
114,303,284,303,818,611,040,419,741,341,190,564,831,926,316,574,069,186,239,
699,775,804,306,735,574,185,081,681,739,198,829,529,301,083,717,453,513,737,
951,597,566,298,430,878,484,266,286,213,192,578,307,815,881,344,838,725,385,
196,918,640,680,776,300,310,285,608,062,919,716,820,097,299,835,397,669,788,
246,278,897,190,925,423,409,256,424,152,880,005,061,507,638,136,476,329,183,
366,342,762,573,100,764,232,776,461,444,397,554,639,542,073,177,485,407,925,
194,111,271,628,839,535,215,607,518,503,786,348,900,280,581,790,544,147,503,
927,178,685,637,924,010,188,729,061,831,567,334,185,417,510,999,585,538,540,
358,866,237,732,350,198,232,324,913,014,154,817,458,620,715,430,131,875,421,
800,801,326,610,225,678,598,392,871,098,739,771,574,808,895,213,160,602,551,
643,495,564,279,923,921,852,402,993,246,996,816,540,550,053,885,918,925,243,
531,425,734,690,998,992,544,391,069,346,098,919,461,648,982,482,367,219,813,
068,583,324,355,905,942,027,007,778,075,077,956,721,219,572,628,303,644,398,
029,930,527,547,600,135,358,510,247,196,232,780,762,949,531,716,610,731,527,
704,690,977,577,493,834,909,310,770,812,498,041,621,320,348,766,990,114,904,
755,196,571,944,264,362,907,159,150,614,114,160,279,802,395,248,853,540,695,
428,141,190,030,256,430,678,157,019,747,151,935,909,820,844,514,153,074,834,
421,812,007,217,655,797,635,407,022,354,747,209,738,589,779,671,277,707,375,
166,714,109,146,568,094,429,251,475,160,820,646,678,530,760,578,419,096,128,
782,066,540,903,335,605,084,049,724,047,649,512,100,936,520,515,688,697,587,
201,582,337,714,238,164,365,817,783,884,578,955,498,665,009,001,554,086,949,
271,666,246,299,258,944,524,258,433,835,670,769,997,740,460,652,774,614,056,
536,678,118,232,257,333,169,316,971,123,858,220,062,097,992,263,594,262,294,
762,180,320,919,709,578,463,821,555,212,348,235,249,954,220,352,307,755,890,
858,113,937,967,467,634,813,661,091,151,940,948,370,661,200,583,906,025,618,
718,732,804,679,632,781,410,814,409,874,487,071,593,458,712,215,252,105,143,
658,442,889,605,629,685,927,388,042,666,764,255,109,933,783,888,093,308,633,
106,733,422,757,602,867,750,307,488,129,997,738,079,348,385,965,951,631,374,
345,787,159,622,207,476,173,365,589,529,161,869,062,261,357,246,231,204,528,
852,617,615,855,737,258,463,535,196,124,180,058,653,668,323,572,177,624,247,
219,088,543,121,938,765,642,084,079,383,615,467,165,157,515,489,123,579,297,
928,842,307,853,796,743,189,277,784,355,743,099,099,174,454,901,657,182,035,
004,044,120,644,962,863,407,363,794,505,990,386,685,198,110,596,625,056,387,
283,266,392,222,476,753,458,864,020,478,356,276,232,768,629,207,070,049,627,
259,585,796,714,696,525,704,353,666,067,257,356,553,249,144,898,457,318,540,
991,401,963,669,327,216,739,025,865,701,497,658,033,483,536,479,666,894,931,
559,096,532,305,785,184,375,525,015,667,553,634,541,379,987,093,810,098,040,
693,676,657,003,287,132,221,885,804,212,366,902,072,043,036,159,866,801,482,
459,549,893,203,407,443,619,883,590,063,595,880,603,232,425,035,484,334,432,
725,694,088,953,031,384,352,356,956,032,557,321,641,929,303,027,596,789,150,
456,455,579,785,048,250,030,579,381,312,008,595,574,545,758,984,759,820,730,
318,930,147,495,061,903,434,124,924,464,867,861,156,251,734,918,263,309,976,
249,599,418,640,534,427,241,917,371,682,824,329,682,130,101,013,791,885,958,
559,397,864,177,607,531,991,728,106,989,929,784,440,017,441,657,791,128,853,
153,582,324,468,653,201,681,802,774,468,363,276,634,379,709,239,579,598,488,
705,777,520,208,901,188,954,219,359,190,986,058,141,489,786,460,464,033,134,
359,652,124,802,785,813,541,842,719,853,778,160,758,183,843,840,341,881,483,
838,383,438,568,878,206,895,626,173,223,108,531,928,306,535,140,032,107,026,
814,214,692,750,479,590,658,119,713,817,303,213,105,410,570,876,913,697,282,
562,399,669,964,821,481,148,383,414,321,660,201,226,157,843,795,957,204,419,
607,506,775,571,294,820,176,487,131,779,234,270,223,542,975,634,830,956,673,
545,738,424,060,935,734,407,929,917,096,810,125,899,598,947,339,515,325,549,
783,708,385,338,995,152,911,521,208,064,001,958,058,845,502,815,169,976,589,
102,256,069,666,814,436,202,973,432,599,411,246,275,451,771,090,586,717,538,
269,615,792,545,674,469,073,507,206,600,775,838,341,963,598,306,853,239,768,
348,318,097,560,305,004,193,997,144,546,045,838,763,319,422,498,784,782,334,
762,010,906,595,508,448,197,687,469,213,084,255,129,415,178,477,656,916,186,
843,695,294,245,618,414,204,853,784,350,061,130,741,198,557,950,725,059,315,
307,068,109,874,033,155,773,445,384,145,480,668,839,972,245,062,432,234,031,
483,805,016,486,539,888,545,595,876,545,327,553,933,485,644,319,915,445,367,
935,457,650,907,781,810,997,879,501,609,182,425,250,031,960,625,056,093,112,
719,361,772,760,765,290,970,614,355,209,940,581,840,655,994,431,709,525,688,
244,944,394,155,380,793,196,005,454,439,693,878,508,364,698,054,208,905,161,
151,653,078,739,892,391,652,838,944,563,984,691,572,089,405,309,889,408,416,
448,875,373,298,121,594,468,078,489,600,368,214,483,346,943,712,342,550,039,
549,922,495,818,429,589,875,511,389,047,808,264,072,757,881,083,396,252,055,
154,805,208,877,693,367,814,930,632,989,273,341,489,787,332,696,154,447,993,
437,557,965,751,972,276,622,015,430,155,210,742,850,656,477,714,036,063,148,
645,269,714,525,342,654,269,376,497,228,372,292,718,033,989,703,497,610,738,
942,769,215,716,515,570,669,074,982,365,244,110,102,687,020,514,409,666,306,
878,507,867,485,101,219,948,751,098,357,707,944,865,974,502,526,977,641,519,
164,390,539,444,026,172,001,598,728,170,349,645,608,695,534,805,455,549,527,
162,407,868,419,787,921,201,514,014,391,961,615,637,517,591,604,630,666,241,
222,644,010,064,565,534,796,427,354,079,553,696,398,517,556,651,534,768,012,
802,607,309,363,202,530,816,664,939,504,458,207,186,569,834,879,197,971,786,
259,517,989,501,597,317,180,580,225,712,050,783,665,374,685,211,042,349,544,
607,961,136,185,978,359,805,716,188,667,524,849,177,733,803,245,344,778,551,
207,094,972,898,988,346,545,147,760,449,544,138,143,259,829,267,292,148,909,
292,563,989,130,755,797,326,052,080,781,171,809,091,832,551,846,440,318,162,
556,634,879,542,791,997,822,985,031,898,011,626,406,574,093,267,131,113,682,
188,763,011,489,682,392,248,937,293,147,408,650,652,630,595,339,593,138,948,
919,381,153,457,258,716,109,726,628,686,868,336,636,229,753,494,929,986,953,
800,123,567,463,277,949,513,280,568,008,070,749,287,891,512,897,868,145,951,
054,956,738,432,189,727,786,199,965,876,222,660,810,348,504,764,999,482,760,
816,636,577,729,844,696,135,950,144,344,002,006,585,906,685,084,547,753,567,
170,673,206,712,085,131,814,592,321,900,752,364,651,569,774,231,799,997,348,
215,635,977,079,682,501,472,549,300,825,142,021,310,001,844,306,447,862,331,
864,853,189,482,537,230,481,852,569,500,900,922,730,297,312,776,159,764,787,
266,119,579,517,399,098,010,623,706,022,962,560,804,068,073,714,675,703,538,
331,062,914,050,971,125,957,988,253,034,118,310,400,455,391,939,240,704,829,
863,732,329,785,739,837,879,467,958,076,062,791,998,496,941,147,827,129,475,
766,275,630,809,700,450,538,874,318,802,565,377,943,414,846,494,193,977,873,
605,619,108,119,212,244,177,755,773,163,779,342,867,101,722,130,105,108,437,
462,618,868,212,325,668,354,691,877,161,088,901,521,512,918,852,979,793,081,
218,788,270,438,556,827,794,221,909,960,530,345,993,240,522,434,365,760,571,
758,537,857,289,056,250,978,556,440,466,962,938,975,370,018,965,778,071,857,
944,923,086,756,770,506,826,509,510,931,797,507,850,174,943,857,247,277,894,
770,634,149,631,443,534,233,697,076,736,686,731,469,915,926,873,171,067,006,
609,715,176,438,471,007,713,971,337,707,343,811,626,743,267,998,487,251,434,
283,106,165,806,970,482,828,250,473,521,082,903,243,868,277,381,630,665,426,
574,078,900,796,199,033,059,075,855,497,010,014,593,932,483,556,052,637,991,
393,620,309,547,476,488,365,756,744,332,241,806,628,654,340,961,143,462,850,
892,135,633,200,290,764,085,306,249,673,132,604,126,023,773,457,357,837,483,
113,743,375,364,129,807,204,017,447,556,943,771,200,495,560,979,361,063,693,
456,961,633,848,212,839,693,421,581,943,198,944,407,656,866,236,028,903,286,
324,029,512,637,583,341,552,890,263,582,130,618,851,372,465,562,496,340,076,
997,992,063,175,474,532,729,908,598,986,797,227,813,802,644,984,832,965,390,
521,874,666,964,644,580,834,500,748,963,085,888,428,357,048,662,069,870,535,
342,219,620,301,974,719,062,469,297,738,291,198,309,540,674,431,895,069,857,
407,093,029,016,012,083,167,287,820,670,219,350,621,215,924,752,289,147,541,
964,694,990,937,365,399,588,899,994,545,269,536,292,914,275,994,710,364,216,
375,487,869,107,149,860,341,026,988,525,790,907,277,387,702,065,838,626,426,
552,996,469,385,285,961,914,436,142,768,418,950,364,139,719,291,913,362,226,
046,999,381,465,332,068,400,770,462,701,551,741,302,828,731,610,299,736,533,
006,866,763,378,302,170,414,592,226,292,584,661,480,062,045,852,622,262,757,
478,733,459,546,281,130,650,362,340,959,060,500,358,949,913,445,273,410,178,
705,290,387,961,807,609,350,121,324,458,555,243,696,061,545,309,584,753,972,
535,805,008,565,336,794,000,371,354,606,587,117,499,065,270,488,823,670,701,
338,456,966,284,526,833,067,374,239,144,419,913,777,556,331,297,168,350,908,
549,479,720,202,608,142,695,581,227,872,876,739,907,186,550,460,714,511,106,
199,191,542,566,453,755,888,846,794,751,788,274,417,042,018,895,759,124,124,
578,372,455,921,221,301,130,083,335,941,353,716,748,996,134,851,693,929,248,
774,142,758,047,783,677,425,051,267,387,624,920,888,642,181,281,018,473,581,
191,950,978,207,552,642,299,888,484,157,775,984,507,262,146,157,944,348,941,
475,441,334,724,526,189,039,891,375,942,326,771,871,913,681,731,159,960,991,
303,523,001,233,826,658,611,301,485,311,510,437,236,892,983,301,866,817,267,
941,683,189,555,367,523,806,725,952,718,342,377,123,397,010,051,237,062,078,
855,035,963,662,864,396,409,925,358,769,569,201,756,282,276,998,206,361,215,
542,496,870,497,749,040,212,300,662,869,307,909,727,081,007,014,055,702,382,
779,281,288,410,402,844,097,389,718,351,854,555,234,037,827,696,442,391,510,
045,749,690,558,639,982,423,117,221,802,662,135,110,983,042,262,548,518,601,
117,031,749,540,816,140,065,587,889,293,814,380,955,544,325,702,601,127,806,
378,358,508,243,656,426,534,692,824,156,048,573,542,879,135,884,678,848,657,
988,266,204,576,557,979,668,523,696,281,250,273,272,057,737,273,513,151,772,
134,825,709,276,738,536,107,724,097,283,144,935,906,589,223,034,098,697,593,
208,651,798,206,860,879,585,216,991,333,311,755,012,508,773,030,145,006,034,
649,425,376,537,360,274,193,046,519,294,942,000,107,453,909,987,935,140,608,
367,448,207,394,104,524,519,542,696,005,024,586,459,608,928,539,548,497,326,
489,405,767,965,510,623,408,600,521,942,823,107,086,262,459,684,170,295,005,
390,396,445,608,391,485,880,036,864,907,276,670,667,736,393,150,187,350,434,
711,040,879,676,426,995,827,777,851,312,334,474,855,403,952,636,760,515,856,
153,176,741,844,849,784,474,774,449,361,180,407,381,790,082,508,049,237,999,
140,944,426,994,236,882,065,696,724,246,635,066,726,824,399,641,544,432,314,
915,412,052,440,898,730,448,266,248,607,337,508,435,220,741,483,551,321,739,
911,227,733,372,804,896,324,864,584,677,385,807,179,957,047,153,375,730,687,
186,414,912,496,535,450,848,950,295,809,882,927,484,880,692,811,455,089,777,
396,349,951,310,838,646,508,214,345,250,299,037,731,339,771,386,433,317,360,
306,189,355,804,537,950,771,058,802,520,168,091,590,300,400,621,994,458,668,
325,749,714,670,157,970,781,008,380,390,930,155,592,116,728,456,438,155,297,
067,061,287,891,621,951,300,702,344,538,809,320,615,566,619,704,167,027,677,
662,319,715,020,845,217,086,346,498,135,776,685,440,064,845,819,050,618,209,
837,885,375,409,288,938,491,582,901,715,694,430,559,540,258,073,036,985,434,
213,373,624,999,145,462,172,622,564,881,337,324,605,727,311,983,817,599,381,
395,612,161,921,836,674,971,317,862,332,416,118,825,694,585,839,080,375,476,
723,450,292,411,266,451,662,082,394,866,282,914,375,498,782,903,278,329,498,
582,743,881,372,136,042,017,973,927,310,492,065,779,183,490,399,370,343,469,
438,591,034,763,838,547,236,051,385,955,330,125,664,113,645,815,842,446,453,
598,900,418,102,608,766,138,998,816,371,758,620,853,111,159,190,056,960,135,
439,251,999,893,210,934,298,087,506,371,761,081,147,512,255,333,651,353,964,
159,142,634,762,943,784,903,234,812,676,411,572,784,170,073,060,869,298,433,
679,655,748,007,765,791,590,151,402,877,574,076,163,397,079,224,491,120,101,
944,499,363,818,650,805,288,660,700,036,343,114,284,068,061,664,340,815,546,
097,867,901,220,182,881,714,192,635,496,398,081,251,587,062,888,042,860,889,
807,988,721,904,827,597,665,990,022,365,769,750,885,831,122,023,396,994,226,
824,869,783,806,492,315,795,652,331,434,465,548,639,563,761,760,426,995,047,
793,604,372,606,095,693,106,921,201,259,830,989,559,283,221,207,387,005,288,
755,509,576,206,329,398,999,332,223,716,460,267,246,232,283,536,974,680,228,
574,194,515,369,700,053,089,813,577,041,123,479,531,561,268,507,568,197,601,
747,197,282,993,251,725,084,098,751,760,388,916,564,672,436,003,078,797,055,
947,300,114,712,491,811,495,435,299,459,218,041,567,215,356,207,835,445,528,
642,463,238,423,829,077,836,070,767,754,364,270,168,635,216,051,449,831,118,
587,961,578,861,008,121,304,602,801,672,577,052,490,809,672,648,496,867,533,
112,725,922,619,855,248,933,535,341,656,593,067,563,670,845,274,416,357,288,
188,826,090,588,151,027,106,195,759,607,435,908,429,286,976,132,344,904,974,
926,907,658,832,526,196,843,636,943,522,447,091,334,446,116,201,916,373,644,
966,475,816,866,698,601,636,823,941,891,623,167,607,453,331,053,481,495,659,
219,661,235,751,660,753,511,331,672,291,649,094,686,975,459,531,566,772,360,
898,934,038,604,285,447,935,126,827,479,483,402,133,503,129,554,439,109,558,
522,124,247,803,568,612,203,462,862,724,237,987,681,578,098,821,891,613,379,
058,288,482,701,880,831,077,782,530,848,793,522,939,804,200,938,185,110,714,
343,161,645,642,944,118,946,770,453,547,763,704,643,996,558,801,462,611,025,
187,522,019,226,586,393,928,495,725,161,445,409,911,473,307,686,348,259,895,
114,751,852,943,713,312,692,517,260,597,386,007,655,395,892,070,011,656,040,
031,474,347,508,483,405,664,997,797,181,106,652,864,709,109,157,229,627,458,
901,507,345,905,306,730,753,915,416,914,029,322,925,717,990,554,614,293,452,
942,937,557,844,593,377,389,209,623,873,926,128,065,851,489,743,883,115,106,
963,571,976,183,241,744,828,361,519,045,112,397,396,328,655,911,579,291,597,
845,257,492,553,213,323,743,859,622,392,144,827,071,630,547,676,157,407,933,
627,540,087,100,586,388,695,194,638,414,051,776,127,547,872,120,936,819,718,
311,857,685,276,673,615,886,229,691,508,293,659,016,836,008,166,326,448,283,
614,555,672,897,154,465,250,730,220,925,106,620,108,207,207,574,518,015,041,
974,996,649,093,263,487,561,200,690,007,497,783,273,494,408,564,107,460,564,
730,098,596,270,028,840,770,318,729,175,000,395,923,254,708,254,118,439,410,
046,219,768,326,511,390,648,774,930,616,592,535,706,079,579,222,482,678,976,
829,064,563,139,862,731,828,395,977,044,559,424,832,352,095,784,592,361,179,
454,022,985,412,612,460,676,650,172,789,484,589,199,754,288,707,922,036,862,
701,391,127,091,342,955,536,578,812,803,064,021,064,662,417,135,044,424,589,
769,533,999,175,242,624,810,823,918,419,170,681,078,401,661,122,287,890,994,
845,197,351,647,177,718,064,401,579,660,806,536,761,039,637,607,026,974,110,
075,498,477,437,926,462,746,590,867,347,939,373,691,792,694,512,117,434,210,
430,430,030,919,138,989,653,654,080,663,192,861,747,868,231,754,746,954,306,
481,089,615,753,484,752,293,717,876,273,028,772,473,609,249,000,576,074,817,
212,664,370,997,329,797,769,010,550,695,849,324,498,605,656,482,957,220,287,
202,132,892,574,276,282,518,155,267,763,201,388,949,695,586,521,852,550,602,
704,108,192,056,219,080,752,670,122,071,721,543,327,554,201,570,715,616,473,
420,215,775,615,537,645,184,119,369,084,663,257,688,567,998,940,747,094,201,
901,763,166,868,050,164,990,662,951,983,985,403,415,280,314,488,046,065,882,
601,112,717,927,350,717,329,248,645,168,923,092,354,483,736,328,605,952,385,
696,628,311,702,293,238,968,012,469,040,771,621,037,094,142,372,146,139,040,
521,757,593,971,411,706,216,311,414,059,295,271,360,339,956,429,665,276,446,
288,404,058,441,956,197,061,093,956,559,491,368,605,072,448,880,538,586,357,
558,295,203,792,717,637,678,327,341,590,191,089,034,200,575,916,564,193,543,
482,583,865,782,721,364,875,325,964,867,849,359,596,393,916,635,930,294,816,
288,004,403,151,122,082,070,589,318,636,339,213,001,437,112,610,880,821,998,
665,360,704,782,574,626,191,829,035,924,642,081,353,038,526,466,850,283,289,
631,493,518,349,166,437,792,883,913,702,982,092,632,880,565,344,245,867,871,
648,526,004,895,270,709,038,658,061,025,196,762,906,467,278,244,153,113,452,
320,101,311,989,384,902,754,287,369,260,100,695,901,120,609,385,456,463,269,
878,790,947,913,175,661,200,535,223,125,312,084,536,822,582,477,159,177,119,
345,616,639,173,530,722,904,084,062,268,438,247,676,465,643,631,397,205,878,
206,572,205,499,364,175,741,253,543,260,298,582,865,621,125,943,965,966,726,
469,184,767,823,348,393,111,475,745,155,070,589,613,758,415,703,628,709,165,
822,136,685,790,164,604,976,024,386,625,966,647,207,138,577,681,787,295,291,
421,817,316,321,100,861,876,485,543,465,725,529,609,134,351,455,593,190,683,
490,943,900,503,344,589,600,601,200,408,439,924,232,910,683,295,713,474,142,
209,737,226,007,319,748,075,447,782,400,611,094,482,008,852,883,013,908,725,
005,571,913,641,854,034,618,765,264,951,149,501,324,049,190,194,575,215,947,
986,854,002,336,345,733,440,930,887,305,520,453,283,868,331,676,570,000,806,
228,695,565,543,547,310,515,057,004,948,753,681,388,431,995,926,611,270,370,
532,723,177,784,389,883,920,964,254,830,759,339,053,821,424,137,922,349,838,
184,571,266,140,328,044,832,075,947,491,770,835,557,567,220,872,972,873,725,
450,703,178,112,267,271,573,481,335,178,586,228,042,944,573,281,783,554,461,
545,453,260,164,799,776,293,125,878,396,463,328,019,519,624,528,294,353,440,
482,176,760,980,572,072,942,498,994,627,582,447,512,664,982,930,564,177,680,
717,583,797,933,387,062,587,647,909,021,949,497,633,330,784,954,386,195,806,
402,570,527,234,306,278,665,710,112,292,625,907,306,143,844,834,926,692,969,
394,903,133,909,086,054,192,058,257,098,573,415,519,398,715,483,564,088,467,
836,091,091,230,727,239,546,482,350,525,322,864,211,367,907,398,655,445,832,
342,740,551,012,545,383,498,677,476,685,557,792,306,816,563,236,448,740,836,
912,255,649,506,838,850,422,563,437,104,153,031,924,253,431,061,856,149,319,
591,584,817,002,484,408,916,680,333,770,505,943,183,530,492,920,724,994,379,
874,147,814,452,464,168,707,009,842,482,517,607,993,694,253,544,133,783,187,
775,738,514,029,369,242,479,326,162,366,591,612,645,100,504,563,161,081,502,
870,706,772,574,613,726,041,219,710,095,576,156,305,230,543,527,458,446,487,
504,033,299,067,248,287,015,705,065,726,202,422,036,901,303,711,290,370,292,
300,482,303,491,307,748,006,097,403,198,817,232,861,725,802,234,277,216,300,
553,659,881,292,946,679,042,253,049,125,915,427,545,834,401,109,432,054,362,
845,717,871,878,552,999,213,053,636,841,992,880,494,887,440,425,444,969,536,
303,077,091,881,469,529,644,632,458,502,913,185,346,349,981,487,866,773,400,
582,566,763,399,999,561,329,848,702,993,852,664,213,047,601,629,722,064,668,
737,250,931,747,998,759,340,616,400,006,292,455,077,533,345,966,657,153,025,
652,861,807,456,882,755,196,818,845,882,345,422,594,430,063,097,315,534,289,
920,965,117,037,444,548,885,349,215,520,932,835,258,532,720,927,488,649,819,
255,439,344,295,306,962,789,957,601,386,308,867,606,286,847,011,431,104,068,
240,980,853,977,039,066,250,377,651,954,235,574,355,837,365,929,598,412,105,
006,360,294,020,625,796,672,531,589,780,804,496,269,708,007,581,999,411,071,
231,603,571,631,306,558,537,360,355,668,069,329,208,970,854,038,948,341,064,
273,360,427,265,944,043,861,006,876,979,952,903,913,702,604,726,039,304,589,
874,579,809,062,695,183,851,789,191,723,485,109,538,318,503,639,769,626,890,
730,235,229,185,007,134,484,124,543,093,078,448,166,342,678,006,854,797,503,
345,718,287,146,633,832,198,571,237,196,006,415,723,424,376,173,995,644,836,
900,709,033,414,263,715,413,601,174,656,993,518,403,287,316,917,158,524,235,
609,478,548,056,098,014,408,568,640,486,042,818,820,259,087,086,331,905,728,
464,371,759,989,233,304,391,182,423,037,950,494,386,074,070,271,622,644,588,
593,503,844,188,507,595,815,771,923,252,555,225,403,564,937,115,107,626,311,
911,333,378,697,806,916,941,718,439,176,474,068,968,755,243,257,955,674,687,
746,746,935,387,015,192,321,452,809,909,949,003,085,679,448,047,916,226,307,
194,752,582,606,548,710,184,101,884,721,197,378,884,793,319,620,271,598,673,
774,673,355,676,013,481,406,901,583,372,672,779,260,079,180,239,179,600,178,
334,853,322,854,014,849,652,698,499,285,014,152,926,452,393,130,664,946,791,
882,905,248,240,927,184,528,317,491,227,177,917,570,029,727,418,106,993,560,
165,325,246,334,107,143,294,179,809,960,410,046,769,783,708,437,794,713,184,
775,112,267,164,943,976,095,502,096,093,452,755,926,602,405,784,268,393,917,
161,561,708,752,535,000,030,911,907,082,118,483,567,659,316,816,086,129,908,
792,770,799,723,516,156,231,279,372,398,154,968,558,175,688,275,730,418,203,
605,766,415,175,223,234,012,499,476,184,898,352,788,568,942,813,195,182,276,
699,882,384,637,136,433,750,737,862,564,745,171,162,723,385,730,171,539,091,
062,709,360,806,372,374,662,882,369,717,417,272,646,078,882,735,198,468,444,
888,491,596,027,586,767,178,900,252,710,479,020,912,898,747,950,483,714,129,
364,916,408,818,054,067,633,757,341,981,895,787,819,371,515,959,379,998,551,
407,961,423,514,377,479,881,383,796,930,869,376,546,218,688,167,610,458,372,
491,302,689,592,699,788,011,665,634,031,314,511,612,333,491,682,932,993,787,
471,359,685,953,647,961,290,221,013,154,188,610,511,630,812,345,401,925,762,
477,670,507,091,877,828,552,472,506,711,502,542,059,590,468,787,249,087,346,
253,138,481,033,939,471,627,237,864,558,765,331,726,342,260,890,151,096,428,
597,179,300,371,758,339,427,793,980,395,096,646,551,196,741,373,339,408,141,
679,083,250,748,495,964,955,622,156,188,799,077,538,543,430,623,340,692,179,
926,967,851,594,282,439,643,516,727,142,540,266,928,168,635,228,158,987,635,
826,567,536,755,267,468,547,250,551,296,784,472,226,065,667,351,069,067,273,
542,019,988,932,835,845,361,034,127,269,381,536,146,937,959,935,482,320,657,
436,696,879,052,673,651,991,020,440,931,030,473,989,605,828,136,509,984,913,
157,548,385,300,913,107,991,385,527,010,753,125,790,976,579,601,667,868,749,
543,068,669,065,590,636,270,310,184,040,555,634,484,420,955,536,377,932,418,
848,296,672,473,771,517,858,365,034,575,566,810,592,916,603,823,221,061,381,
112,556,670,714,760,403,702,342,375,846,039,502,472,337,813,881,135,776,760,
521,009,310,311,268,705,212,950,280,725,128,187,085,265,703,550,310,438,410,
430,932,511,785,262,967,583,305,472,736,766,907,023,663,779,362,246,372,192,
215,222,153,130,110,914,881,139,540,699,113,232,693,376,392,905,277,350,816,
416,592,410,655,868,032,479,142,161,094,407,019,927,372,672,719,888,843,628,
556,404,075,741,475,941,725,269,971,267,753,244,477,613,489,442,139,019,534,
698,473,115,491,698,649,895,457,074,940,052,202,244,503,431,895,500,608,069,
074,659,378,969,450,061,720,227,985,551,574,539,052,721,385,042,837,681,100,
687,291,233,290,212,975,168,126,274,980,520,830,075,653,709,402,290,026,872,
532,140,360,378,942,460,668,531,733,921,249,402,728,258,882,136,237,068,894,
826,823,455,895,343,956,611,019,223,103,607,625,663,791,276,404,161,820,049,
009,032,559,958,585,522,200,234,861,577,092,223,031,924,575,096,632,843,431,
160,030,725,217,622,777,707,515,707,518,405,861,429,075,057,918,417,301,128,
013,363,038,901,243,393,457,033,868,829,864,324,198,725,886,696,983,918,242,
140,809,564,457,424,085,389,628,496,038,751,692,468,486,743,329,045,036,508,
692,795,393,866,001,068,271,384,737,747,616,149,303,495,741,993,682,012,739,
234,438,880,960,000,556,174,896,965,418,525,724,776,559,816,136,093,890,708,
775,410,413,825,853,440,628,337,678,082,747,692,904,092,470,219,104,261,923,
182,340,508,746,216,087,831,365,610,241,982,766,076,095,139,929,776,041,725,
920,128,540,182,255,930,228,319,382,395,260,310,613,693,540,597,094,085,142,
668,190,410,932,839,769,185,495,622,889,316,696,532,772,738,490,744,192,508,
035,015,329,165,481,356,144,993,400,244,641,800,591,947,348,066,612,561,727,
727,735,810,237,470,672,605,223,170,337,055,402,045,722,417,346,688,888,128,
922,166,948,561,505,078,743,573,987,526,296,113,487,284,100,776,115,613,391,
342,090,555,736,716,280,205,718,332,676,345,937,051,259,775,978,890,746,211,
969,883,527,237,532,326,024,013,709,516,986,799,784,037,582,706,201,332,410,
227,440,179,623,673,490,390,630,727,879,249,744,304,865,675,963,545,773,551,
157,874,505,636,232,119,709,765,573,009,950,111,151,578,597,022,376,077,963,
741,354,721,551,046,884,185,398,734,795,770,833,693,660,058,710,886,296,379,
661,329,852,207,410,839,508,089,650,756,349,932,936,309,487,988,664,963,458,
910,548,905,498,009,562,521,945,403,959,492,388,040,365,984,971,551,241,847,
336,141,471,750,746,943,528,799,348,579,391,397,016,061,208,504,869,839,144,
222,889,736,502,160,830,531,240,634,565,062,890,187,099,878,521,786,382,505,
104,115,091,946,042,859,195,036,394,484,608,386,766,536,646,032,545,339,444,
969,431,490,665,557,595,077,995,584,490,249,624,608,972,641,265,238,082,032,
244,169,993,704,313,597,043,048,953,024,918,730,006,632,498,104,394,126,468,
700,932,777,958,018,210,252,790,333,108,412,324,698,140,315,742,222,377,925,
646,554,110,189,085,221,224,639,099,705,504,993,838,696,016,030,037,417,235,
882,517,278,384,665,270,708,419,522,272,618,277,394,712,172,030,699,438,524,
719,579,392,605,417,111,489,334,470,284,464,186,462,277,636,185,782,913,387,
190,387,200,294,326,462,936,871,995,407,815,004,115,634,711,087,844,233,542,
798,411,581,872,869,601,099,772,172,839,544,537,289,196,133,613,461,649,264,
143,193,474,915,260,765,960,789,570,004,970,611,572,895,632,692,624,274,356,
493,854,556,328,952,962,400,758,243,902,384,795,163,858,398,399,535,677,357,
317,503,454,310,945,111,227,204,259,740,115,982,828,150,438,609,902,227,951,
692,947,825,532,961,062,527,548,208,578,306,397,683,210,186,840,407,968,556,
599,024,494,126,204,444,162,382,513,687,590,168,909,891,884,209,639,805,130,
262,380,388,653,788,337,959,047,594,105,957,519,121,367,135,869,413,421,279,
905,208,491,002,864,070,414,256,566,991,110,370,183,873,469,256,851,695,105,
373,008,679,358,726,211,411,172,687,773,646,909,917,803,250,048,044,047,829,
296,075,448,754,682,028,705,323,237,179,080,761,603,653,070,777,696,559,862,
274,354,281,040,253,464,437,423,156,248,351,711,192,926,014,723,736,144,166,
729,280,285,745,534,850,226,277,579,960,519,339,484,916,493,893,076,224,771,
566,942,375,618,003,415,520,706,507,614,432,622,939,021,887,322,742,858,495,
526,041,174,813,032,569,919,230,281,258,280,761,852,287,484,891,994,321,587,
607,379,199,249,440,946,099,752,208,744,905,322,431,777,199,929,122,937,855,
908,683,521,629,922,033,787,429,809,860,613,396,567,120,280,244,968,239,274,
562,198,986,391,693,356,463,846,880,835,368,966,162,316,863,225,239,069,510,
746,017,369,104,925,970,172,286,075,579,198,491,124,990,103,997,383,802,235,
568,236,194,995,898,279,864,209,261,220,324,337,288,344,705,746,224,844,100,
666,870,552,043,370,241,173,244,984,251,239,224,492,361,809,963,381,212,965,
217,997,421,174,806,510,298,285,279,217,709,053,561,917,844,135,565,497,058,
579,240,088,986,544,987,637,706,932,198,635,215,077,092,942,146,794,795,524,
336,530,071,415,574,868,904,790,293,763,392,203,029,242,605,881,580,985,060,
798,673,560,518,688,110,802,520,378,522,535,839,069,284,808,521,538,654,448,
619,520,626,595,440,993,036,799,368,685,281,102,335,654,771,945,558,276,581,
556,096,892,612,845,143,505,851,498,440,608,125,506,305,551,964,303,171,328,
123,205,956,730,863,911,794,864,134,765,930,604,299,027,730,590,573,972,670,
681,969,847,761,495,086,345,128,486,419,206,899,527,289,647,368,939,987,103,
610,064,397,530,861,512,963,323,872,826,396,484,251,133,295,534,724,899,339,
692,242,172,963,956,264,575,680,534,224,381,040,003,874,610,736,930,910,413,
732,851,144,890,196,199,504,458,544,890,948,699,694,062,254,899,508,043,819,
144,724,763,045,387,897,745,165,301,660,918,343,610,314,187,993,215,369,782,
412,120,532,776,161,922,399,637,528,231,975,180,196,117,960,512,096,489,642,
358,288,439,264,465,703,093,335,075,007,187,263,506,194,972,167,527,081,518,
293,010,938,294,092,551,461,469,053,593,602,602,873,835,937,926,707,199,342,
557,394,559,599,849,808,419,630,947,973,949,057,799,906,298,736,639,605,983,
599,759,085,813,539,120,380,375,712,331,020,958,699,228,638,205,737,235,384,
647,426,202,765,735,020,208,536,326,225,939,994,801,724,256,913,740,439,949,
625,831,195,770,727,241,090,036,466,943,145,155,116,844,049,334,784,679,792,
761,464,946,523,023,187,678,569,301,277,822,156,648,811,425,652,875,734,490,
470,923,917,837,204,096,121,098,848,583,513,647,974,941,233,308,111,891,743,
801,793,709,495,445,350,742,970,991,735,561,488,614,223,909,870,025,508,636,
029,808,520,940,205,520,144,660,212,252,718,988,414,451,856,646,611,947,912,
730,120,911,231,931,651,684,868,865,788,188,757,287,412,607,180,030,021,318,
778,653,539,422,431,733,039,656,210,168,191,449,640,503,120,078,879,340,938,
113,374,190,499,840,507,157,592,436,332,267,269,446,969,405,823,504,689,229,
437,625,211,043,040,053,931,271,974,330,636,769,078,309,940,185,581,454,350,
410,811,248,443,109,409,773,154,714,174,963,882,990,329,959,626,898,194,226,
452,297,421,261,376,360,656,914,921,821,382,522,915,065,932,509,081,853,921,
045,117,466,841,863,454,932,365,485,892,515,860,510,728,307,391,478,675,962,
457,440,269,174,804,839,755,844,616,361,367,348,103,945,211,795,928,328,395,
969,686,608,991,425,067,851,748,345,647,731,475,255,640,218,192,635,649,775,
793,875,609,250,510,648,642,556,551,885,678,842,999,706,545,306,461,108,347,
269,511,666,567,396,647,956,629,610,401,696,698,705,567,346,654,762,989,288,
938,377,293,674,503,659,830,021,695,321,502,237,219,976,778,181,397,693,200,
630,893,077,055,878,811,985,382,267,217,660,227,747,566,529,272,816,750,113,
954,527,457,870,521,130,983,841,592,907,464,165,257,500,854,090,091,947,000,
575,035,900,413,316,282,358,263,433,781,170,904,654,288,899,932,478,184,917,
732,129,701,090,385,103,394,896,580,513,542,018,577,130,058,389,185,626,801,
799,347,576,804,947,432,462,490,893,762,659,525,855,099,438,351,377,148,605,
783,111,447,192,732,032,026,072,902,152,729,329,436,698,290,198,376,848,682,
287,369,747,913,369,100,559,605,294,619,520,756,382,055,438,472,242,050,275,
081,089,624,022,834,765,804,895,305,718,323,629,003,752,394,480,213,997,436,
952,550,443,424,000,167,735,170,129,277,862,998,840,784,255,495,244,637,120,
974,471,959,190,130,834,827,709,555,074,779,592,075,031,955,218,526,491,806,
293,066,468,204,425,726,592,077,484,288,096,110,551,238,991,392,343,627,069,
569,282,222,630,541,757,388,765,161,775,053,707,618,102,133,701,371,884,291,
188,067,371,802,616,482,878,935,688,192,519,186,412,039,261,105,933,839,867,
513,138,387,286,249,513,523,798,685,997,072,473,952,377,415,571,544,282,022,
683,052,760,931,057,222,576,612,283,788,805,994,156,674,323,613,912,812,864,
347,316,550,528,715,134,893,241,738,184,774,010,808,822,728,026,552,437,125,
706,880,639,130,523,098,365,933,244,204,920,728,768,833,642,319,868,754,500,
735,194,358,458,813,538,039,658,852,104,209,979,882,110,566,120,996,053,496,
344,813,144,672,524,305,378,459,519,710,855,833,857,736,925,207,797,457,171,
458,675,563,761,487,437,516,675,373,169,370,624,496,965,692,980,385,085,874,
899,807,891,407,711,399,608,988,579,414,631,610,632,602,771,324,953,116,155,
184,590,257,914,322,142,157,075,191,826,667,414,468,961,810,731,310,058,948,
531,425,962,127,225,853,649,131,921,471,461,396,087,962,441,045,035,985,094,
663,904,049,630,198,024,441,918,239,332,891,700,696,437,926,537,143,198,801,
970,673,354,776,440,032,297,109,752,824,163,664,645,950,881,733,375,618,646,
512,484,190,608,031,999,457,393,403,804,980,374,443,449,205,833,331,036,000,
659,623,619,688,877,586,269,150,414,696,984,103,220,631,088,550,517,000,150,
028,101,092,218,775,033,021,108,780,547,247,401,253,237,884,316,588,795,469,
611,459,935,670,996,912,777,449,844,023,162,314,987,849,577,792,788,222,283,
121,648,536,270,467,368,116,544,994,613,736,148,164,940,616,893,849,376,271,
614,750,873,905,916,367,229,793,474,845,139,912,292,207,758,046,172,951,527,
173,137,337,510,709,207,628,523,460,677,738,814,674,530,440,915,789,045,250,
253,366,249,535,631,952,128,853,688,125,376,948,119,001,377,151,669,618,930,
956,103,761,053,518,956,563,102,978,459,435,574,141,441,242,084,198,631,836,
610,013,752,747,309,371,476,840,875,675,794,481,187,654,642,210,949,191,114,
804,304,365,288,923,354,030,569,623,031,437,481,177,664,464,413,805,206,420,
084,598,513,781,806,355,359,008,143,322,135,379,886,220,134,120,598,419,156,
765,604,988,388,301,340,234,610,777,204,157,987,156,103,454,476,034,266,318,
931,381,502,239,945,652,740,470,272,032,514,067,825,683,932,196,949,420,669,
142,306,014,723,758,111,623,800,523,684,262,784,297,648,664,888,803,423,091,
988,278,720,251,477,658,372,389,390,372,447,335,591,560,399,921,540,510,884,
790,392,949,301,223,561,808,949,308,991,781,609,172,142,721,405,079,280,061,
493,430,616,458,023,064,029,292,680,686,853,954,348,222,688,208,073,239,587,
375,480,455,617,630,941,707,317,486,334,813,084,758,096,646,834,273,312,820,
683,212,115,026,869,901,549,031,076,597,749,798,822,735,787,145,261,360,430,
153,030,693,418,440,999,903,431,816,281,133,444,709,440,082,228,587,004,831,
134,370,469,987,203,782,637,503,666,908,670,541,011,177,879,237,429,444,441,
872,533,697,299,830,274,788,477,687,043,465,592,498,102,511,757,023,668,175,
809,747,192,414,578,110,550,274,380,910,222,100,049,601,157,040,962,319,215,
104,350,442,584,103,210,511,869,853,211,889,829,467,098,796,451,725,380,794,
400,143,882,901,277,211,640,933,018,675,842,480,849,325,265,180,544,854,987,
518,828,692,635,473,386,159,927,437,805,748,047,617,776,611,265,388,719,009,
457,950,577,747,738,538,006,692,245,139,246,213,275,077,690,758,352,313,490,
069,343,237,663,329,566,603,316,513,893,229,457,116,278,877,089,744,932,930,
602,326,159,413,208,485,827,634,498,325,571,251,382,329,102,821,271,584,217,
401,008,106,211,908,966,865,168,962,988,930,516,705,063,496,245,511,425,523,
710,710,438,308,304,178,441,950,331,486,191,285,146,102,710,039,852,123,657,
608,047,687,650,009,565,772,972,823,343,972,035,545,644,192,452,644,224,834,
287,072,282,737,196,450,422,674,145,433,072,135,946,687,362,608,500,686,946,
829,258,468,656,106,906,888,863,512,385,853,273,335,738,353,345,910,258,328,
265,327,562,278,905,175,704,648,074,392,274,978,126,688,976,866,942,243,408,
995,408,390,549,323,919,597,029,168,004,772,654,858,197,993,866,176,930,689,
054,666,963,513,399,306,974,431,189,825,186,668,228,975,817,551,800,973,124,
951,106,109,256,326,821,247,576,083,075,623,592,129,521,380,455,512,040,667,
093,254,922,524,247,287,920,259,644,213,237,365,503,394,244,760,413,839,934,
889,826,455,382,488,326,100,782,715,149,792,005,262,307,861,842,730,429,029,
593,103,019,433,651,154,456,703,737,542,123,969,882,185,904,499,584,811,342,
877,222,134,276,177,243,123,719,327,443,948,788,773,658,680,721,715,605,683,
918,893,444,723,614,121,136,394,662,470,943,770,841,783,370,980,610,553,025,
852,954,809,293,414,028,806,063,625,711,567,996,515,635,196,189,726,038,844,
843,920,107,617,868,397,462,257,577,275,110,047,976,074,648,898,037,110,459,
377,078,288,019,110,043,631,494,025,855,832,164,965,865,573,178,690,665,130,
473,474,453,976,761,117,897,768,145,151,940,560,010,147,735,754,803,225,182,
983,605,233,942,908,986,889,584,731,748,378,994,524,227,361,298,013,699,524,
783,783,816,478,479,024,547,772,860,417,814,344,677,446,923,241,873,476,502,
521,369,426,746,911,939,340,170,424,874,300,079,803,145,128,197,405,514,561,
012,301,766,858,419,090,441,967,177,784,963,101,412,630,799,494,109,272,361,
830,822,896,781,301,873,037,854,119,440,961,893,755,372,635,228,614,673,211,
423,066,589,864,345,533,568,404,664,470,002,167,047,035,461,983,762,802,245,
372,002,495,253,890,676,892,136,120,327,390,318,572,484,261,303,986,249,725,
304,873,042,612,866,268,399,017,291,626,643,323,654,932,706,563,483,789,765,
150,572,875,336,042,588,586,688,496,092,517,696,277,351,568,754,564,679,106,
419,654,746,586,624,437,356,670,768,762,550,819,872,092,760,361,409,410,305,
111,555,600,707,109,599,575,427,843,025,416,050,799,900,818,157,181,612,083,
313,965,380,986,605,554,193,096,056,535,735,498,834,491,687,602,583,446,417,
792,952,464,544,968,561,904,022,447,994,048,051,917,739,643,383,433,090,978,
997,813,461,511,431,718,257,319,786,048,624,097,491,045,761,412,245,547,852,
831,820,756,024,716,247,761,965,020,344,919,575,348,246,767,798,122,563,868,
984,397,404,996,757,243,203,351,103,305,176,724,896,033,297,115,677,276,230,
846,795,108,689,045,493,776,124,444,602,416,109,428,743,634,087,773,563,969,
516,454,955,642,018,152,017,286,780,728,641,452,543,205,832,752,055,054,367,
304,014,850,647,150,578,120,921,656,002,793,481,640,468,014,698,593,647,325,
530,123,888,273,808,875,905,987,828,780,243,299,859,479,137,249,748,931,366,
921,589,168,883,123,932,671,865,567,494,253,297,526,540,404,314,807,481,333,
183,032,039,856,897,246,720,011,119,006,772,647,665,289,792,055,523,986,523,
374,609,544,396,059,656,907,760,470,804,064,399,223,787,975,828,533,714,602,
024,363,628,668,796,433,084,053,733,387,519,712,893,318,614,763,413,471,563,
835,786,810,618,632,358,463,316,556,364,384,251,828,276,084,325,631,966,911,
608,552,088,695,266,372,046,309,321,384,968,970,007,256,828,588,342,988,694,
417,021,987,886,398,820,389,353,389,676,815,150,372,860,191,219,482,877,055,
444,504,434,874,311,656,837,863,979,485,312,154,208,275,235,041,852,406,952,
204,924,768,096,079,587,233,254,858,173,400,123,709,024,726,033,147,209,706,
030,832,590,396,413,738,537,075,287,838,706,664,233,454,012,705,964,631,685,
567,510,506,075,024,610,128,616,415,334,247,459,723,411,500,513,498,040,111,
341,358,014,454,301,551,253,203,901,186,013,795,586,786,054,811,831,648,391,
442,848,669,041,752,748,251,973,070,400,218,642,417,322,028,143,610,506,116,
396,852,899,654,529,712,601,471,710,241,761,214,632,079,261,633,966,776,902,
405,894,024,306,079,421,823,352,908,618,012,015,374,922,722,737,284,771,559,
888,786,101,828,143,076,407,247,888,094,993,565,892,255,731,695,007,251,087,
044,335,431,603,116,677,951,592,422,969,812,179,154,071,196,652,292,986,512,
520,691,450,220,724,397,739,854,967,565,166,569,477,147,271,423,515,285,970,
254,066,765,007,922,506,470,278,199,441,405,334,370,522,891,705,672,133,775,
462,647,225,847,824,025,421,869,212,928,215,485,451,737,540,974,139,630,061,
762,230,917,929,755,438,640,486,582,019,359,950,794,578,283,882,427,779,575,
125,172,851,503,866,377,677,272,811,954,962,929,225,028,952,444,394,804,738,
874,213,555,581,589,353,850,467,363,282,440,403,537,347,628,270,556,606,678,
469,134,597,435,549,917,100,268,598,574,052,156,815,579,924,542,326,997,589,
554,570,140,756,033,061,286,368,883,071,585,114,181,294,529,193,764,009,961,
387,710,001,614,274,887,933,562,346,871,587,274,678,182,239,080,912,456,750,
187,931,484,587,973,186,516,029,330,262,740,809,854,659,596,049,097,467,846,
436,879,648,744,096,280,214,376,739,897,805,498,556,384,652,275,770,680,975,
619,326,339,880,753,175,857,914,145,812,057,977,167,196,327,256,806,820,451,
763,791,904,882,889,156,768,456,725,099,424,247,517,974,835,345,409,748,599,
614,619,327,790,855,701,810,377,676,047,022,291,420,232,260,911,050,069,979,
902,393,453,978,775,349,904,089,345,995,023,304,055,572,216,243,720,669,979,
408,319,716,429,082,977,530,739,917,004,370,941,088,071,501,495,358,804,856,
317,702,761,081,037,502,699,635,037,995,307,727,017,525,842,539,261,974,523,
562,757,651,753,311,541,815,571,085,817,828,599,532,296,630,304,481,834,199,
171,497,473,427,665,673,377,245,398,235,633,928,669,590,810,602,961,762,790,
159,940,204,537,522,520,882,271,188,802,601,280,622,017,703,788,776,283,713,
774,066,038,731,444,059,252,113,758,129,436,424,057,398,842,538,764,173,830,
304,311,538,162,603,238,844,864,609,833,002,150,204,956,032,713,077,065,288,
529,890,503,023,198,698,139,941,089,244,614,522,134,614,216,546,762,164,559,
419,586,060,914,933,428,129,735,763,380,852,097,758,936,165,587,376,675,413,
566,580,303,017,049,748,492,576,107,307,061,627,217,455,807,093,445,160,160,
582,086,618,975,908,278,833,116,433,876,104,676,713,989,685,544,674,442,886,
307,381,386,986,587,914,333,399,529,716,858,184,185,773,457,831,141,000,527,
904,625,511,194,242,575,568,099,941,396,753,790,664,707,106,738,022,062,796,
894,867,753,870,200,030,576,154,495,556,874,392,904,558,958,360,300,621,584,
023,721,417,830,254,251,978,917,159,263,538,973,030,756,409,001,757,001,596,
826,537,945,324,373,138,894,635,857,363,818,103,586,099,581,583,648,680,196,
966,795,247,638,065,905,429,991,933,852,634,318,643,026,957,680,692,030,993,
916,676,450,361,681,536,964,065,989,754,927,209,416,761,344,446,993,361,496,
675,295,299,329,644,102,199,617,539,089,403,712,003,263,053,353,999,908,764,
766,405,601,189,219,431,671,142,557,541,785,338,953,236,958,053,396,235,751,
600,329,805,199,331,902,281,591,645,969,269,401,123,252,311,217,110,545,953,
411,918,676,315,583,414,731,250,300,956,151,592,665,682,911,012,552,642,477,
630,387,106,626,027,180,247,655,555,460,993,883,309,996,465,779,778,308,432,
297,760,449,836,542,213,112,246,069,537,725,952,890,153,087,560,956,792,313,
883,751,389,016,492,872,037,224,447,160,637,707,687,680,648,376,885,774,796,
274,768,682,115,407,504,859,348,484,349,037,509,106,356,724,963,318,261,466,
076,982,976,742,864,803,352,856,666,604,590,945,910,409,846,082,809,282,209,
656,641,070,710,985,308,753,399,702,515,278,139,772,210,456,358,850,892,374,
426,726,622,934,597,545,241,975,765,717,942,795,693,830,630,959,820,866,554,
985,507,038,101,540,457,441,950,864,599,842,886,199,324,051,755,427,933,432,
187,616,977,191,430,579,719,063,498,905,346,380,616,721,031,275,091,680,462,
340,989,678,163,383,878,134,958,031,106,466,455,119,346,581,892,789,028,070,
984,655,954,670,152,201,024,091,019,093,487,301,040,509,486,624,289,299,477,
886,826,486,325,098,105,052,104,528,919,021,596,959,613,980,694,905,289,249,
429,235,156,770,866,317,636,928,040,825,877,741,200,184,558,520,375,692,054,
561,022,080,660,406,437,273,151,194,691,291,989,951,590,713,665,805,395,268,
693,048,311,971,927,147,293,064,234,334,932,941,628,248,489,270,009,447,136,
673,266,721,016,661,688,966,058,535,143,939,531,165,063,054,836,210,244,439,
711,709,772,322,558,027,476,985,347,239,107,005,381,490,394,620,518,933,095,
621,588,249,884,091,361,214,470,750,630,607,186,168,603,310,113,627,572,105,
045,420,501,600,205,288,722,349,444,547,491,983,289,891,678,798,517,015,058,
050,621,287,135,410,198,095,798,085,283,592,727,006,735,579,262,260,151,747,
486,362,881,149,573,787,056,385,366,831,118,799,668,290,578,240,394,053,226,
531,702,555,314,516,693,287,798,198,244,917,715,390,251,260,740,461,634,330,
630,032,325,518,212,534,125,017,374,493,857,889,429,644,469,064,748,435,559,
828,395,782,630,724,895,411,440,096,745,128,041,030,910,528,888,664,331,394,
256,954,227,482,576,577,008,921,723,975,924,179,614,377,634,522,348,075,258,
986,737,323,743,492,225,386,298,741,093,590,801,285,540,180,474,131,783,631,
414,494,488,070,830,075,755,476,755,904,383,103,992,659,967,095,969,653,088,
407,382,356,874,339,180,417,161,094,052,673,739,424,866,887,522,000,240,219,
950,541,672,851,863,752,715,030,478,894,510,131,531,922,562,656,590,094,780,
376,514,547,107,906,487,366,262,328,536,345,061,703,597,652,596,357,351,020,
919,032,984,026,445,255,718,669,985,033,994,322,213,872,729,199,360,354,425,
726,914,741,889,064,789,639,878,464,979,581,079,886,885,761,551,837,233,484,
106,075,222,533,270,174,001,200,520,438,920,784,730,232,942,650,896,887,850,
801,681,136,031,048,541,321,731,507,034,317,275,220,935,903,927,459,716,286,
260,714,998,601,088,127,515,284,707,249,708,095,593,789,854,171,390,526,554,
752,354,747,201,938,050,449,393,074,709,412,855,135,270,123,180,947,879,403,
071,549,415,240,353,599,061,990,228,335,567,538,080,145,326,414,268,004,658,
656,258,326,316,734,348,113,694,772,685,193,119,837,831,701,504,046,673,675,
922,306,219,586,722,909,869,999,809,731,445,671,534,062,784,847,525,736,169,
293,222,079,575,613,870,463,369,353,625,020,041,486,642,151,116,048,441,877,
425,651,441,453,224,711,784,204,029,489,920,698,177,742,185,302,180,026,764,
546,603,957,267,637,386,698,461,680,811,686,625,193,268,871,944,869,347,366,
219,670,372,594,702,955,782,055,430,326,820,539,590,822,143,306,262,234,517,
784,159,561,241,801,015,644,655,783,319,802,037,144,727,794,910,255,405,246,
265,119,045,806,249,170,839,223,526,156,649,158,614,832,476,930,582,993,857,
149,951,040,790,764,348,574,192,329,351,180,674,825,022,465,131,784,304,402,
315,656,687,452,311,916,338,046,135,114,169,711,538,354,990,409,123,559,428,
195,939,909,064,210,785,127,004,474,290,976,060,291,623,220,960,218,484,216,
071,456,529,237,474,261,550,426,629,284,995,888,164,211,834,701,274,544,262,
173,596,105,436,138,883,427,188,519,194,552,100,516,816,152,485,012,897,139,
586,934,974,589,495,061,736,145,761,590,817,989,253,865,831,168,170,113,864,
355,686,673,011,467,156,188,940,135,560,389,217,230,678,676,009,781,252,612,
432,400,853,889,235,900,532,037,375,188,843,004,787,094,016,910,099,025,580,
717,456,429,900,070,766,476,465,654,433,889,006,491,051,854,129,323,516,279,
490,898,988,584,338,305,431,682,371,406,970,084,707,291,858,621,912,028,740,
779,443,014,017,408,209,410,771,024,296,891,456,613,002,130,497,552,772,859,
086,187,531,969,275,184,336,888,047,414,504,512,779,789,556,009,859,231,172,
409,219,981,423,766,463,473,010,476,841,577,576,283,982,108,357,560,971,281,
560,773,042,580,375,461,907,453,060,904,114,870,169,015,262,485,082,914,870,
348,896,921,136,789,892,098,414,284,345,933,370,810,470,539,409,867,568,578,
832,766,704,018,850,140,576,779,585,805,285,619,763,637,384,417,632,904,136,
486,569,495,997,208,392,870,813,462,972,923,425,110,628,592,902,838,311,412,
521,589,548,299,428,450,069,565,817,146,844,154,389,417,637,976,320,491,425,
364,610,724,517,633,720,054,076,232,575,822,084,344,668,793,172,903,633,921,
919,011,862,886,651,945,249,216,806,016,890,480,019,064,282,368,346,419,730,
578,227,636,833,987,517,506,856,683,652,068,198,450,671,165,426,831,170,734,
992,544,873,576,198,352,760,533,312,244,845,748,769,282,000,456,602,063,231,
125,294,633,876,047,565,098,120,276,765,260,074,740,216,807,013,604,258,772,
024,008,895,331,699,089,939,775,574,568,865,094,222,910,795,647,832,297,119,
311,098,721,439,726,594,923,644,346,942,137,386,882,266,346,974,441,439,687,
575,766,880,869,959,348,867,396,598,125,779,478,932,747,624,146,578,105,417,
306,070,951,099,843,480,835,376,222,156,360,883,186,439,465,419,442,341,055,
470,569,837,264,981,614,821,549,370,736,545,463,425,389,655,450,859,903,664,
702,904,464,720,749,295,226,387,698,095,624,290,422,809,290,293,021,289,804,
784,289,285,273,725,650,608,648,447,532,001,188,649,759,756,803,939,071,000,
040,016,294,264,440,427,940,785,998,465,046,673,250,627,319,337,898,822,434,
253,289,781,036,567,256,005,369,694,347,039,894,272,674,897,118,179,161,019,
043,376,650,170,129,195,503,884,928,520,084,147,248,314,812,210,527,706,920,
458,322,513,190,430,411,022,200,868,937,498,061,515,061,884,428,292,176,644,
160,792,964,182,968,597,075,308,734,592,637,827,701,297,965,840,799,454,215,
635,748,654,568,112,439,549,731,149,151,926,633,962,557,966,624,224,376,354,
611,131,870,055,441,292,239,858,947,497,944,575,865,144,969,922,888,119,922,
134,424,644,296,006,426,795,722,491,173,476,121,497,264,819,950,594,045,316,
535,931,224,297,807,381,604,738,187,980,807,723,864,658,001,410,465,156,451,
235,448,547,426,231,359,584,575,094,603,265,938,118,484,011,364,141,069,536,
849,996,325,524,943,250,717,498,186,942,758,493,422,028,184,798,814,627,706,
121,809,840,817,713,747,673,063,249,455,094,137,350,824,120,531,498,606,420,
402,616,458,971,013,855,241,192,910,498,534,735,769,071,699,646,625,314,498,
297,904,274,170,560,398,865,258,919,440,019,119,930,892,206,671,653,608,985,
740,307,800,119,993,881,691,646,523,874,797,565,638,955,835,460,072,654,150,
686,717,289,138,294,751,818,787,809,979,813,031,187,073,038,127,894,577,717,
368,544,317,148,328,925,431,568,714,720,606,185,001,678,312,671,644,521,455,
846,153,144,770,365,909,424,660,764,068,500,629,400,960,886,764,309,342,883,
950,483,810,730,037,969,218,123,984,158,709,930,108,735,576,775,320,729,038,
552,064,138,841,975,775,817,705,461,408,883,927,286,478,648,789,088,919,063,
322,563,502,437,435,211,225,868,291,990,449,332,460,813,993,576,562,207,440,
973,959,752,463,120,632,743,049,196,825,276,078,062,643,086,613,811,726,014,
718,633,097,178,715,170,857,399,423,608,715,715,376,346,982,795,214,126,724,
267,511,440,800,939,169,095,701,649,219,371,269,807,714,233,406,787,768,849,
562,823,768,658,298,999,083,169,755,806,413,915,707,988,152,548,402,889,166,
865,984,892,967,890,852,887,031,351,295,971,828,488,018,882,366,091,815,503,
528,407,754,080,231,090,458,245,618,728,557,544,350,139,131,100,878,669,077,
782,373,521,461,489,100,250,142,433,555,564,042,769,616,711,666,699,392,675,
548,165,927,131,987,468,807,118,967,439,605,728,532,628,950,780,069,358,852,
099,673,193,758,628,351,608,968,705,259,553,073,950,716,793,025,695,999,237,
295,941,602,149,859,097,158,235,608,083,446,989,324,867,914,235,779,997,012,
545,156,529,818,684,882,903,082,245,409,925,861,358,905,477,452,581,608,143,
810,617,298,494,266,541,411,661,128,847,389,595,902,511,781,896,067,091,872,
622,925,772,763,572,427,794,248,636,757,298,914,196,858,358,017,141,290,410,
015,060,311,673,806,676,699,900,330,386,774,510,806,377,617,647,770,077,801,
811,221,316,991,815,017,038,355,522,969,111,274,912,171,384,140,035,091,360,
829,009,202,141,916,843,157,789,674,127,633,556,780,457,113,992,575,198,151,
157,978,923,405,305,422,175,000,676,671,820,917,529,601,808,652,012,535,338,
662,635,153,609,380,926,743,595,133,944,334,545,853,435,702,157,413,606,066,
160,904,306,911,980,146,532,886,945,968,709,562,949,720,297,198,371,084,926,
438,292,944,327,144,227,928,866,394,523,566,128,829,871,660,069,479,775,777,
999,787,963,164,191,965,378,806,052,445,084,428,900,587,273,287,952,469,645,
433,685,014,853,688,558,960,005,144,297,743,499,033,727,769,764,135,093,185,
118,089,307,301,745,584,226,086,327,663,724,862,927,260,871,081,182,598,716,
948,980,160,764,020,532,123,326,753,866,155,210,447,088,736,615,101,632,020,
047,657,446,155,994,562,462,322,007,647,583,864,587,772,152,657,100,826,393,
809,147,151,125,976,274,482,917,810,610,673,778,061,083,280,988,691,209,045,
073,676,391,730,771,646,481,351,135,610,505,258,322,419,697,110,803,086,643,
761,432,132,559,897,194,647,239,310,554,085,843,506,752,645,335,246,714,998,
411,420,590,240,398,083,558,127,459,700,371,388,125,921,864,655,894,660,796,
867,588,806,007,149,412,214,058,306,287,291,266,160,852,570,310,773,970,643,
362,180,768,392,964,488,014,710,707,611,121,130,676,939,090,909,016,716,671,
599,366,868,199,457,481,899,320,540,349,122,369,436,314,528,670,836,899,230,
442,969,473,864,939,935,575,489,292,647,815,291,275,534,952,837,677,279,696,
271,458,027,914,791,287,976,543,568,728,143,334,631,128,699,182,724,063,071,
384,232,517,469,292,190,016,888,708,042,891,357,586,362,028,597,742,665,476,
818,418,356,951,190,568,776,676,186,636,540,896,532,425,489,827,127,910,963,
380,602,749,229,006,156,683,647,869,536,820,356,894,515,125,899,402,186,280,
269,756,081,172,306,021,441,516,710,438,198,580,061,866,882,970,021,367,026,
977,275,722,954,144,490,850,816,372,303,884,186,073,716,460,055,288,729,636,
674,704,683,216,927,961,720,334,335,587,406,859,872,934,814,587,200,915,392,
904,861,904,587,899,168,990,644,634,495,822,358,423,551,588,367,148,505,731,
022,099,941,950,020,524,485,352,064,112,581,141,189,659,433,154,507,607,925,
880,279,502,790,156,609,202,827,231,956,543,946,901,901,021,609,463,571,098,
125,656,981,688,627,710,318,309,662,449,775,506,015,437,361,312,832,890,955,
228,726,599,338,594,994,406,237,290,628,326,203,900,880,470,016,089,923,643,
193,338,264,072,854,231,666,587,707,405,746,279,928,951,026,131,750,744,494,
225,469,026,704,883,937,005,043,178,003,937,650,930,323,681,831,592,406,066,
736,159,180,302,047,142,056,423,708,017,578,137,051,583,359,093,806,947,258,
523,538,975,709,806,847,146,489,238,377,668,963,561,907,711,826,735,637,021,
511,648,232,139,296,904,006,436,616,385,725,220,118,380,827,730,150,355,677,
509,775,849,280,020,842,944,619,196,761,346,197,009,307,668,451,426,285,292,
038,344,358,447,824,780,596,061,479,157,188,695,298,515,268,693,126,497,071,
910,656,070,199,422,920,503,963,813,780,681,630,026,575,868,331,673,201,543,
412,898,477,436,423,705,293,537,583,928,315,409,604,307,503,057,469,624,292,
675,002,805,227,699,179,675,382,454,137,103,802,812,674,850,110,204,911,762,
430,754,128,094,396,525,935,349,425,095,417,872,094,367,256,914,590,115,515,
227,613,459,603,197,455,517,672,102,756,201,756,840,033,245,910,190,973,501,
013,969,197,551,135,871,225,351,448,663,039,568,136,634,906,125,618,913,939,
401,596,066,471,450,249,594,291,680,325,623,051,127,235,299,988,649,976,561,
093,204,425,906,939,946,922,948,934,862,563,333,665,518,225,154,199,862,346,
824,993,075,248,436,448,748,333,251,435,937,753,832,365,343,831,225,680,871,
671,407,667,186,596,441,126,752,252,112,840,487,487,950,286,433,868,251,268,
381,589,892,913,067,938,054,457,623,068,376,445,868,923,835,131,826,134,973,
789,549,199,441,346,003,303,235,952,305,843,603,732,852,799,408,518,795,164,
115,713,466,030,771,112,891,573,034,341,284,520,322,362,181,002,394,978,140,
582,695,716,480,661,728,924,477,499,855,850,172,269,131,422,070,184,324,619,
127,072,227,662,255,979,214,477,065,575,393,990,109,210,102,318,910,479,168,
466,462,949,003,983,808,167,399,463,453,104,649,600,586,469,532,112,647,344,
686,302,883,114,753,374,016,932,566,088,916,031,214,278,015,344,614,462,875,
308,398,311,846,699,298,694,240,949,279,778,147,567,933,886,495,681,475,572,
802,808,264,526,303,318,901,130,950,801,305,324,705,421,801,376,633,226,875,
448,293,118,651,126,156,285,117,261,010,794,461,511,701,166,094,572,421,270,
741,835,873,454,067,600,906,108,725,333,814,000,186,847,312,670,065,596,186,
504,346,199,994,754,933,381,325,437,074,354,723,463,380,714,494,862,948,380,
019,823,023,461,389,281,345,656,612,929,816,651,010,925,431,273,864,020,023,
323,420,000,534,714,783,289,163,108,368,336,557,253,679,234,237,712,692,849,
373,979,581,316,517,836,490,445,301,931,914,081,504,432,352,913,240,727,697,
365,453,456,679,030,531,741,992,444,457,429,375,348,296,472,979,703,144,240,
900,869,035,063,567,651,639,579,085,140,113,279,830,327,492,223,881,312,799,
940,323,848,295,286,490,858,851,925,438,076,310,934,274,245,067,049,896,184,
062,692,876,671,606,557,290,703,030,244,733,042,335,684,169,725,515,190,534,
708,255,510,093,418,092,289,534,898,438,917,708,439,305,337,262,041,370,395,
257,867,731,647,262,067,454,667,041,982,370,995,719,382,126,046,388,279,238,
896,452,546,267,706,956,761,340,813,671,209,118,245,305,992,718,342,402,087,
800,311,103,101,367,438,404,186,768,036,439,445,777,184,225,221,233,990,307,
717,744,442,227,244,682,925,113,051,972,131,400,198,372,399,968,504,123,594,
250,581,952,186,963,896,884,848,035,455,278,416,337,226,882,249,871,732,476,
191,178,174,981,747,821,537,983,985,547,021,342,988,069,416,521,428,838,173,
624,889,651,549,690,801,178,142,391,938,149,383,725,486,868,427,274,838,731,
747,916,626,016,158,142,248,505,192,866,284,619,431,602,439,700,537,250,219,
322,812,345,540,658,048,327,655,705,367,743,773,983,069,871,242,041,598,297,
967,661,626,473,219,834,043,081,456,708,144,886,594,436,929,701,984,958,476,
142,896,162,512,670,793,728,680,989,902,507,039,080,140,092,784,459,850,083,
529,787,547,339,523,111,934,962,727,026,143,457,621,608,251,288,175,884,318,
692,665,448,059,091,497,142,532,384,150,415,877,623,381,578,652,915,138,009,
967,652,821,740,771,128,080,212,882,893,402,827,058,863,914,499,651,767,358,
222,458,506,025,551,106,444,250,051,219,673,433,615,949,856,729,045,142,333,
073,734,340,433,433,582,692,952,496,398,039,048,041,819,576,212,133,780,716,
653,563,645,697,632,314,605,667,497,573,776,123,030,037,655,315,202,630,842,
454,677,942,072,710,201,730,287,553,523,400,476,481,062,602,415,867,071,134,
016,050,639,127,049,793,821,803,803,578,919,728,215,439,927,500,277,095,318,
914,313,010,747,437,325,779,400,944,061,874,051,192,012,622,536,413,828,360,
541,072,251,057,629,831,053,694,264,627,388,045,581,251,020,728,338,173,198,
778,838,286,492,391,725,106,250,968,528,817,117,629,290,018,691,722,524,680,
003,190,780,775,739,275,216,929,643,033,648,228,967,568,769,698,797,182,113,
787,078,636,520,178,047,279,486,539,800,456,401,063,385,455,431,239,807,083,
805,264,816,553,153,600,471,263,767,224,808,824,263,975,688,023,219,650,348,
839,277,497,619,091,708,080,302,123,911,833,160,959,335,648,561,119,918,549,
668,686,261,801,241,062,418,832,218,256,488,559,478,480,714,517,311,877,074,
433,600,493,794,062,946,111,867,891,325,697,013,158,940,120,590,848,672,665,
875,102,236,935,022,889,240,335,374,804,323,309,876,037,720,300,468,136,376,
342,649,079,404,932,982,898,373,809,687,419,182,118,850,039,583,838,723,985,
569,572,424,376,690,694,921,763,367,645,061,598,963,423,183,746,947,987,334,
486,080,371,077,295,337,806,343,428,173,909,015,002,130,733,760,787,418,673,
059,692,106,071,573,176,308,222,742,156,949,734,109,307,679,301,180,353,965,
948,378,320,309,518,866,661,165,898,253,253,567,263,465,555,565,800,059,809,
734,897,319,462,806,353,747,579,054,060,198,692,033,305,819,344,957,917,917,
893,021,069,146,370,050,838,562,218,902,214,731,579,073,030,691,330,261,354,
627,326,008,049,625,992,368,191,670,283,629,667,698,281,439,999,849,041,897,
519,133,626,383,471,424,345,035,298,189,347,690,462,553,464,524,755,601,293,
830,945,330,427,549,865,045,904,067,955,409,751,814,308,672,766,043,515,649,
962,285,414,962,339,633,166,757,311,464,283,158,797,517,862,369,828,411,414,
055,770,203,421,998,546,031,290,984,598,948,503,811,335,532,572,429,266,133,
548,934,318,556,044,161,666,355,550,889,093,547,095,394,002,196,751,703,096,
488,927,547,821,440,499,776,889,622,890,366,307,254,973,043,370,685,768,826,
049,516,403,550,319,900,133,143,893,964,517,535,609,845,015,882,810,542,659,
424,347,969,364,883,681,403,473,071,469,178,716,389,280,792,969,007,193,395,
770,605,803,777,072,334,634,348,058,353,043,299,257,743,812,892,881,687,373,
149,017,869,431,941,797,801,064,888,355,100,884,062,605,647,662,742,276,337,
486,259,251,490,090,381,042,290,497,867,126,370,494,352,293,540,391,198,527,
868,038,097,343,212,883,748,337,345,042,627,227,051,627,172,873,181,830,888,
419,166,948,848,075,971,742,365,871,222,936,018,353,465,793,996,663,718,869,
172,653,449,888,384,981,426,857,544,718,108,956,174,718,942,000,129,127,037,
421,737,192,861,319,321,461,326,517,311,505,403,257,146,588,863,685,569,532,
958,203,849,951,985,189,814,533,534,078,397,116,687,523,096,727,282,258,815,
323,226,059,653,890,548,797,542,464,957,643,273,976,970,191,629,104,274,928,
567,062,373,523,849,960,861,041,850,923,912,074,405,238,054,311,507,198,763,
549,127,518,566,949,953,393,857,814,079,827,783,687,210,020,069,503,355,216,
480,146,025,104,954,676,010,970,485,450,579,579,970,324,211,671,977,529,438,
542,461,306,661,359,896,734,217,277,781,301,917,706,321,583,463,772,641,523,
770,181,321,947,611,856,450,756,563,033,143,009,782,101,687,558,045,209,655,
184,174,677,730,480,600,272,320,614,511,983,836,087,958,164,519,670,552,540,
591,035,174,649,250,136,379,127,100,840,261,953,737,536,317,710,527,501,935,
379,724,942,887,643,108,252,991,887,319,411,814,868,615,046,696,969,702,980,
066,787,954,070,373,855,244,865,277,413,538,792,997,209,570,230,070,301,120,
224,634,474,913,893,994,032,042,335,763,023,747,109,395,603,353,843,336,333,
858,812,277,713,531,295,498,744,592,352,076,649,475,919,420,688,910,451,814,
438,668,806,439,410,826,632,115,125,821,053,389,920,203,399,594,057,528,077,
947,469,847,695,847,281,996,254,792,474,028,975,296,983,074,375,193,586,836,
545,361,922,915,982,058,016,905,372,654,413,764,416,007,023,066,773,496,407,
750,932,096,852,144,518,713,967,067,445,012,761,247,882,570,080,320,752,962,
646,491,701,902,465,674,144,895,107,269,793,306,047,883,517,346,859,627,047,
739,001,241,709,689,697,846,334,674,885,356,232,624,237,991,041,576,096,150,
933,970,014,317,678,011,072,646,489,528,191,409,514,103,299,530,205,358,341,
326,943,742,377,384,762,087,422,175,118,519,457,495,359,205,937,342,669,303,
873,712,214,689,124,358,875,384,508,176,299,305,074,030,887,793,203,510,022,
418,676,838,443,479,049,165,450,867,210,941,561,693,888,562,115,534,415,293,
893,532,132,887,831,914,402,655,454,421,568,929,807,437,357,971,466,039,744,
540,765,349,338,824,222,201,387,192,051,950,499,753,479,188,611,216,294,876,
330,270,890,672,206,548,271,307,444,584,971,944,321,994,643,954,004,254,718,
506,462,354,587,088,607,600,275,771,499,840,093,111,656,142,265,480,840,238,
383,120,460,137,104,285,957,675,380,440,299,754,799,535,396,755,638,386,762,
071,674,839,320,547,431,650,714,545,519,915,525,033,846,354,230,612,848,613,
684,973,939,156,293,100,378,323,231,993,746,685,129,395,750,447,847,684,503,
044,975,671,926,201,086,944,919,847,825,758,689,850,765,762,658,805,663,667,
447,214,434,874,221,568,099,589,085,631,679,669,391,040,908,131,447,895,182,
788,065,292,578,515,012,827,355,192,591,936,499,948,023,601,941,428,780,972,
167,929,729,136,756,437,610,346,468,009,518,443,862,290,226,450,524,905,758,
276,780,516,153,671,674,852,007,231,399,765,580,269,886,906,096,165,865,762,
309,741,131,504,719,555,020,619,734,627,506,841,896,102,639,891,247,229,249,
560,981,096,578,586,347,409,951,873,599,469,499,560,556,385,665,983,022,861,
865,329,713,132,601,097,705,747,537,233,270,310,560,361,749,800,327,182,223,
395,416,985,691,873,509,950,553,209,334,037,800,630,252,019,671,410,195,701,
407,133,954,947,002,888,219,149,130,700,591,357,281,930,097,078,197,056,433,
537,435,535,299,272,921,248,682,773,330,690,477,795,044,057,470,640,066,163,
682,894,316,428,178,340,006,537,710,366,974,629,878,973,065,647,651,865,490,
430,341,273,047,544,763,788,030,556,863,566,669,079,921,263,317,198,071,095,
816,999,010,534,442,841,439,102,675,303,875,007,611,676,224,896,621,200,469,
139,482,295,204,985,212,846,312,215,279,483,335,602,471,239,974,682,787,708,
549,795,086,577,178,985,869,931,953,638,505,142,066,705,374,563,226,676,331,
664,585,944,509,526,775,777,733,101,310,010,440,797,989,203,219,362,198,208,
250,347,724,280,348,338,061,840,477,418,839,707,229,194,020,009,415,892,876,
788,895,455,693,615,685,067,118,079,348,723,660,109,209,036,110,981,447,194,
767,580,845,132,676,204,435,967,345,862,513,567,225,900,171,099,673,387,793,
688,183,478,312,720,845,814,296,005,736,934,008,780,175,865,024,918,109,821,
578,578,679,874,497,632,652,143,842,169,595,607,385,347,535,750,391,807,005,
115,156,879,352,354,074,532,640,063,449,402,578,896,635,680,273,508,963,867,
495,425,603,569,134,867,902,018,858,879,977,151,344,568,039,791,498,772,316,
033,619,516,866,963,536,513,222,168,838,459,039,711,437,364,322,224,245,504,
658,161,747,478,144,356,898,337,817,378,636,564,299,645,394,685,035,954,452,
725,977,827,628,578,100,796,621,221,787,875,791,432,141,227,791,753,035,669,
767,033,317,900,947,122,830,787,424,444,831,774,784,090,824,015,871,392,985,
443,883,553,929,473,045,617,833,972,541,590,240,227,394,500,130,342,669,859,
371,131,263,315,497,840,493,774,609,053,202,769,014,066,975,544,860,306,051,
481,792,896,272,579,460,577,387,499,213,851,785,159,677,585,441,205,294,354,
073,245,346,916,045,975,807,246,916,864,898,989,122,405,145,636,751,906,394,
178,865,719,522,025,639,488,148,028,902,093,851,442,095,513,548,181,072,336,
615,030,599,118,649,045,922,643,121,055,402,328,608,723,497,569,427,898,490,
820,986,074,637,801,512,545,867,088,336,821,428,989,847,317,824,782,264,538,
189,876,550,289,602,102,416,392,484,800,936,640,343,753,752,235,892,260,561,
298,028,526,587,735,201,825,053,978,192,587,730,952,808,360,084,951,517,976,
130,446,883,635,240,275,205,813,043,619,294,077,629,226,348,778,658,504,119,
659,683,437,965,017,416,661,182,143,012,206,735,739,091,952,434,339,423,313,
067,529,065,756,258,507,826,882,847,354,248,323,345,080,743,203,126,472,700,
307,446,881,913,797,956,764,295,378,623,407,965,854,869,729,659,843,429,620,
088,183,257,495,854,609,197,129,220,998,094,290,293,860,554,395,789,765,286,
715,555,113,001,553,661,972,418,326,221,604,411,521,046,377,215,401,664,381,
064,681,721,650,928,214,646,704,024,914,739,099,222,309,975,105,863,451,453,
427,544,851,140,660,929,528,482,187,435,306,822,950,517,350,150,776,843,037,
305,697,006,437,516,264,175,301,737,234,947,222,728,917,152,856,715,127,601,
701,732,530,964,040,709,863,552,616,618,168,317,487,801,112,998,080,538,808,
104,910,736,257,199,519,425,977,972,089,470,038,189,405,695,478,537,095,199,
603,541,550,130,704,698,136,294,262,299,893,237,939,081,373,538,082,645,544,
319,143,164,543,886,300,825,095,107,865,297,002,106,303,671,421,627,497,538,
949,630,966,070,109,831,088,078,633,296,676,946,250,827,210,378,789,231,037,
114,607,642,375,374,176,056,936,574,463,026,343,619,573,720,739,945,213,012,
993,983,089,556,296,452,116,083,032,533,603,929,737,108,592,855,643,060,279,
137,516,858,847,768,637,991,401,236,781,438,259,816,394,861,827,299,534,178,
072,286,967,439,591,531,470,294,205,116,600,221,935,022,565,936,392,219,986,
782,715,507,401,826,026,838,620,740,810,752,442,377,127,908,707,121,981,990,
670,445,711,853,096,930,586,108,956,026,846,905,288,385,546,790,992,683,544,
604,724,263,097,688,418,239,482,418,992,683,530,329,556,197,504,453,491,738,
056,590,045,831,631,640,679,279,366,213,388,062,956,786,599,820,533,838,223,
980,338,868,126,570,612,090,320,895,261,138,928,655,326,914,300,694,246,496,
770,248,675,439,531,789,176,755,194,239,419,665,337,256,031,904,660,193,598,
763,231,734,207,566,066,476,005,627,691,360,526,487,998,941,889,577,142,472,
398,397,696,140,816,958,552,946,032,535,767,621,580,687,452,657,278,529,031,
388,650,522,476,721,811,675,985,115,429,375,984,736,509,697,622,868,730,501,
564,512,804,091,247,780,517,650,845,887,010,620,325,915,039,479,773,869,385,
450,457,545,441,777,897,447,807,345,267,009,777,248,932,066,161,412,092,317,
942,409,301,528,627,112,051,001,829,235,613,259,223,466,200,973,266,953,136,
096,607,106,935,702,836,467,073,005,757,863,590,626,619,825,051,659,768,510,
939,428,406,216,417,289,139,016,582,704,525,257,588,273,792,869,785,752,677,
365,005,195,865,577,017,934,167,456,307,566,633,078,024,495,081,111,102,278,
211,629,006,683,999,794,753,908,963,647,288,592,150,992,083,750,988,789,843,
794,758,898,422,476,459,605,777,448,931,398,674,386,008,410,678,606,511,625,
404,001,722,920,882,523,840,577,729,707,882,064,889,816,547,951,712,767,179,
592,427,632,814,411,419,750,377,580,308,075,594,018,092,898,897,083,980,514,
080,316,179,643,248,365,218,530,929,422,839,910,052,141,726,360,990,980,376,
004,516,093,328,222,284,927,979,115,388,620,473,363,421,523,249,758,066,020,
083,642,587,734,943,270,926,397,373,893,851,890,962,503,098,464,010,893,609,
902,824,699,310,104,012,896,985,412,114,193,760,431,965,932,541,469,583,220,
176,749,929,807,491,863,056,797,641,351,638,322,540,709,652,216,032,590,224,
800,677,108,314,774,250,931,866,949,521,572,619,252,972,292,633,567,075,895,
493,929,513,857,909,598,343,448,733,435,281,183,605,143,931,805,103,012,719,
490,184,955,744,281,307,739,100,421,613,736,453,288,463,159,947,568,724,035,
221,879,707,269,989,691,045,630,293,519,279,957,493,558,631,196,418,954,195,
363,388,979,666,997,915,841,083,581,080,224,187,099,094,379,007,622,377,718,
768,564,803,462,366,445,608,004,844,967,253,693,642,678,439,174,267,066,196,
773,237,060,578,532,635,414,898,336,953,224,430,265,813,709,633,056,850,279,
876,188,234,688,121,624,008,552,789,050,059,657,258,419,962,012,348,815,072,
560,440,905,829,547,112,339,061,678,205,752,085,314,018,328,912,451,316,094,
802,191,219,211,606,440,568,352,781,785,839,901,215,156,216,192,550,375,768,
104,871,158,690,980,050,582,352,629,770,203,060,845,859,119,993,663,131,545,
211,963,292,732,051,737,081,335,318,288,006,222,970,037,116,178,819,939,161,
677,097,110,752,877,295,018,572,622,006,207,962,123,846,403,422,361,395,365,
957,063,706,156,613,858,860,620,735,578,747,180,065,232,118,487,698,555,755,
185,090,788,278,686,891,269,396,557,844,236,343,996,171,368,992,515,347,522,
860,883,539,081,984,145,765,325,505,526,871,406,621,005,927,433,194,887,672,
353,424,207,862,235,996,815,220,255,744,715,271,380,590,196,177,888,874,368,
099,255,123,571,201,920,696,615,471,207,147,645,971,065,361,209,114,686,263,
449,709,617,410,689,032,247,047,873,758,668,994,798,771,089,769,119,161,692,
842,797,743,265,614,978,705,123,480,082,049,164,312,626,747,944,863,891,426,
960,430,827,842,879,358,421,256,564,536,982,071,006,812,445,423,194,548,224,
267,766,759,248,562,812,234,368,345,749,172,472,998,790,609,668,299,684,511,
383,347,929,356,432,457,597,418,891,569,168,842,888,632,312,974,113,441,965,
222,899,657,728,908,362,500,732,327,439,589,507,496,001,058,756,123,636,863,
414,007,737,605,008,503,960,635,350,654,854,197,326,480,814,997,811,460,172,
389,025,136,010,193,770,795,379,756,304,270,687,187,682,161,338,381,696,552,
248,323,941,870,669,451,740,774,046,076,858,861,096,242,943,615,005,708,674,
276,564,661,500,283,667,798,273,983,668,679,237,027,564,347,747,688,624,365,
900,893,780,256,192,526,824,522,696,179,360,002,521,564,794,409,444,825,331,
784,682,913,250,387,145,117,593,951,069,859,967,511,276,482,717,231,805,854,
534,170,150,575,326,804,954,281,500,755,925,344,408,318,590,392,150,103,591,
126,881,229,046,977,893,708,827,462,722,334,122,886,905,108,638,455,680,461,
267,715,266,411,694,932,479,729,997,914,741,191,111,514,858,961,759,352,583,
167,691,811,276,462,970,014,006,407,287,886,123,930,249,243,274,565,790,476,
937,560,236,692,632,508,990,195,126,287,862,072,010,552,904,578,781,241,464,
420,980,142,950,474,828,832,280,196,030,184,783,899,827,071,016,523,890,433,
900,484,718,382,063,311,774,357,431,459,891,006,898,719,773,035,250,961,946,
373,489,105,528,540,196,877,532,651,576,426,889,616,674,269,842,437,260,927,
132,592,729,234,019,817,142,941,608,421,754,267,813,783,356,269,068,819,076,
560,433,609,686,119,754,930,453,250,044,035,514,130,936,841,687,407,774,407,
838,106,279,414,904,254,003,514,376,631,875,113,655,054,065,659,931,529,585,
765,871,554,891,101,879,491,727,104,470,921,671,823,239,013,456,624,515,214,
611,380,902,765,594,198,308,087,987,556,553,645,534,660,201,038,430,167,251,
268,970,708,403,443,397,660,744,006,465,522,878,261,543,446,859,127,199,771,
269,573,434,752,902,971,176,225,218,136,607,533,381,896,313,909,034,156,656,
396,534,292,533,040,143,020,639,515,077,434,460,923,407,739,473,985,960,381,
269,758,597,471,875,923,535,104,233,399,498,417,753,794,738,524,251,954,150,
441,940,265,845,211,459,416,153,712,291,559,037,915,425,916,960,630,577,460,
017,944,571,972,503,521,951,733,947,786,207,270,760,619,244,442,128,318,959,
777,611,074,797,952,533,324,848,970,875,073,874,297,247,386,490,163,302,157,
205,054,873,375,520,279,148,235,058,008,338,082,679,879,746,818,546,504,562,
105,838,715,528,332,872,331,386,900,125,420,764,468,852,447,349,360,962,041,
908,524,731,658,834,376,990,953,951,615,118,235,512,748,137,909,450,614,800,
417,071,299,206,120,115,497,355,205,652,436,502,356,112,741,819,025,733,656,
230,484,643,880,803,086,042,562,358,729,286,683,443,094,845,555,385,840,293,
033,957,342,297,003,232,245,906,564,786,287,966,150,249,029,629,522,871,404,
436,357,756,112,913,778,481,896,342,004,912,041,705,037,641,572,000,465,866,
432,636,055,878,915,670,382,694,834,426,631,184,138,540,079,973,702,589,495,
578,224,818,307,249,668,545,673,868,438,570,177,569,472,083,230,697,268,869,
685,931,210,655,775,239,885,207,633,105,672,934,792,567,184,759,339,469,355,
692,717,989,774,623,441,065,861,724,530,093,035,934,255,965,758,867,680,336,
096,628,501,217,232,135,941,262,747,520,896,590,571,014,034,880,057,037,191,
140,251,101,479,261,615,694,957,590,335,066,670,135,149,461,679,596,625,410,
132,287,027,431,217,012,536,639,170,814,113,418,120,453,057,698,352,716,405,
249,907,849,690,806,249,284,284,044,807,991,848,128,054,619,598,655,574,385,
759,526,470,273,423,889,787,976,648,350,370,200,340,914,917,575,537,509,553,
481,950,891,473,158,044,252,114,619,111,413,727,201,554,233,691,082,242,186,
607,608,963,604,635,744,318,333,932,768,252,308,918,911,560,385,893,452,993,
122,352,492,143,602,120,239,096,057,617,272,304,862,575,947,173,323,764,860,
956,908,039,626,186,401,114,315,704,962,297,243,860,465,092,948,430,558,758,
336,828,452,007,527,466,590,647,406,845,366,145,207,042,430,663,019,809,468,
910,272,768,123,677,035,191,442,127,273,278,679,269,152,248,086,755,082,335,
190,264,954,012,191,493,842,597,816,638,812,323,475,106,822,100,924,476,929,
340,274,320,535,818,611,203,266,547,400,491,394,810,185,216,818,253,280,711,
980,210,041,083,602,417,358,028,455,566,310,343,432,096,931,390,292,464,729,
606,101,507,883,114,591,994,374,967,984,825,578,486,474,128,334,248,574,422,
307,622,041,747,631,770,779,519,562,465,884,314,876,054,518,575,323,712,735,
692,526,226,779,501,447,581,772,529,505,355,945,152,169,168,964,806,651,607,
887,921,612,246,305,475,886,997,504,085,023,154,363,766,905,347,941,606,383,
810,163,800,275,047,383,463,056,933,803,481,010,195,131,210,838,163,909,242,
537,987,505,028,540,146,025,442,672,187,311,073,553,078,503,089,154,474,078,
543,755,086,070,630,258,091,546,302,619,300,301,342,856,962,364,049,087,080,
743,679,832,037,815,446,385,238,882,908,989,532,392,968,273,175,978,436,818,
974,834,336,275,970,733,639,999,614,169,475,783,672,267,770,619,481,460,504,
479,898,022,103,287,987,840,882,277,072,605,563,271,792,706,244,566,692,211,
236,824,129,676,055,104,394,524,110,277,090,784,598,122,935,353,226,800,510,
457,845,842,125,378,086,820,768,453,535,054,627,091,121,819,360,874,093,235,
457,816,822,312,526,067,771,485,684,155,165,007,791,516,371,074,474,913,255,
534,394,601,336,514,609,655,120,215,071,644,948,314,645,943,859,505,479,036,
384,797,382,835,320,080,814,974,810,201,176,641,299,627,215,957,950,230,356,
479,780,423,832,622,486,760,714,923,125,483,452,165,479,300,030,337,254,084,
768,005,552,465,473,061,083,823,291,372,410,923,981,271,104,269,015,845,811,
107,926,639,262,507,128,384,235,988,660,992,841,482,398,509,181,947,913,181,
304,886,209,137,381,926,938,081,743,166,179,120,097,206,148,826,365,846,114,
254,263,458,351,811,808,081,994,504,714,115,323,448,023,865,805,750,678,811,
444,883,908,885,137,915,671,472,659,733,473,204,106,363,939,549,081,774,596,
090,670,652,715,578,787,142,881,171,804,759,418,127,002,439,317,358,383,907,
616,344,161,306,534,179,950,342,070,456,698,988,464,427,343,196,820,537,497,
201,033,691,020,271,560,096,367,430,904,195,552,538,038,282,887,662,931,176,
670,821,661,991,430,751,524,175,118,678,215,480,902,469,017,880,299,141,466,
655,764,916,926,238,021,450,396,727,268,373,732,350,658,696,619,823,792,626,
570,828,476,900,877,124,867,748,593,772,444,250,149,902,284,576,722,207,877,
925,803,940,576,772,737,931,377,827,126,260,234,249,062,423,308,604,523,841,
969,169,653,548,929,075,601,937,694,476,025,275,605,173,515,832,218,659,407,
077,364,034,525,475,184,172,561,087,299,078,325,402,774,187,964,345,261,435,
824,558,430,890,676,623,059,204,930,757,234,123,126,154,938,709,069,578,871,
661,495,554,406,906,724,220,776,205,426,760,612,646,210,691,500,881,633,816,
903,096,523,061,311,205,173,894,622,235,190,159,655,909,853,749,184,216,307,
882,968,575,764,353,619,640,325,383,364,689,780,138,570,667,195,912,256,844,
660,298,404,597,406,359,642,938,010,938,627,863,187,753,184,819,911,018,786,
992,906,336,581,180,186,480,210,299,397,646,841,014,978,812,938,807,381,956,
882,140,607,592,175,950,942,685,422,254,456,215,872,161,611,880,703,015,830,
054,534,824,495,663,074,492,646,308,979,815,695,674,686,910,295,571,589,657,
087,512,160,755,748,497,529,924,824,485,989,975,685,883,571,578,884,369,047,
521,982,334,316,943,431,784,958,087,926,886,547,606,428,514,985,835,809,660,
985,487,177,283,822,588,763,619,231,117,945,348,367,039,838,559,191,071,207,
221,131,863,922,805,659,177,307,974,335,253,485,474,657,011,661,944,386,880,
932,858,066,114,978,717,460,729,643,294,514,778,582,268,228,355,042,141,930,
143,079,953,067,473,148,226,393,395,821,944,516,145,461,854,700,710,410,354,
857,519,279,205,349,952,244,869,763,675,152,970,145,182,641,860,996,598,806,
603,671,375,189,220,126,343,026,843,787,849,137,951,016,643,586,061,038,484,
749,051,179,225,440,860,496,647,981,855,895,008,811,886,862,131,673,319,752,
468,417,308,123,662,996,236,672,591,746,910,090,552,039,072,140,916,241,952,
254,088,379,488,685,033,869,663,639,353,461,680,895,718,890,593,792,853,128,
061,261,954,819,939,598,037,083,209,530,996,599,484,175,811,634,631,814,222,
945,825,357,540,103,382,549,405,575,112,226,257,128,870,535,844,096,986,917,
764,133,162,833,478,020,958,841,772,084,620,964,569,842,405,505,929,953,025,
099,346,433,933,766,802,956,942,534,068,542,634,111,095,905,615,854,613,599,
813,639,240,348,254,626,627,602,506,410,313,957,579,075,020,774,163,766,090,
267,863,533,783,725,902,569,039,872,861,135,423,315,078,026,894,067,922,969,
868,195,452,619,242,429,755,912,744,440,697,600,943,859,276,197,011,113,065,
666,615,625,735,670,173,396,371,941,182,012,236,637,904,772,027,966,638,770,
455,190,980,872,653,642,947,530,147,776,671,021,781,774,292,532,333,620,870,
522,751,371,822,986,010,494,296,481,608,083,652,066,573,445,920,769,941,414,
130,528,239,834,052,195,816,545,278,308,416,774,413,066,289,123,916,325,440,
620,498,538,228,985,211,179,454,276,952,759,493,955,982,279,914,526,710,572,
846,761,217,484,677,467,951,080,880,933,510,092,848,133,315,436,505,975,427,
497,755,535,792,245,771,309,834,342,774,023,879,899,106,920,867,063,705,770,
104,185,950,036,519,149,526,555,252,161,890,630,766,020,353,069,002,746,281,
891,368,956,044,170,246,381,824,009,784,101,621,753,209,146,597,046,726,348,
908,862,737,081,878,141,327,823,755,222,083,428,364,051,323,859,458,183,383,
452,308,750,212,940,252,154,972,272,288,183,445,727,392,477,550,170,456,421,
666,617,465,661,906,946,899,077,794,889,278,633,671,614,779,634,080,718,180,
910,999,172,016,741,047,908,612,404,351,559,275,289,356,085,762,439,487,944,
108,918,193,359,233,455,832,049,337,296,627,667,479,370,905,662,995,938,578,
768,334,116,803,140,638,903,090,873,291,401,974,830,540,940,224,504,661,981,
582,573,589,354,861,614,911,711,180,129,103,636,879,002,831,189,414,407,361,
843,697,369,192,133,798,389,004,138,812,653,144,559,020,405,250,607,070,364,
924,679,439,652,723,167,226,961,606,265,629,829,493,162,836,160,935,577,518,
553,741,972,444,740,635,318,036,391,597,957,205,689,652,031,664,066,683,931,
644,453,591,213,761,269,863,080,349,306,680,509,830,290,696,874,450,314,882,
490,054,405,920,796,616,378,046,640,703,644,679,583,241,908,443,804,419,209,
401,529,987,577,133,842,238,711,145,911,662,507,610,591,232,226,680,228,248,
643,981,869,779,446,141,510,436,238,818,456,334,801,140,112,307,190,500,106,
863,463,809,420,458,701,117,145,626,695,457,424,580,319,101,001,881,985,572,
211,154,531,802,539,391,289,299,617,978,085,922,946,179,454,439,816,845,034,
203,657,118,276,858,477,400,744,338,895,563,021,663,885,318,234,487,761,416,
999,254,480,453,970,975,218,906,805,427,223,427,669,210,099,677,027,228,876,
843,690,959,945,410,885,834,611,427,270,002,269,864,419,854,957,223,564,941,
631,782,362,964,189,305,032,562,860,346,248,606,665,654,112,492,926,130,859,
031,877,197,231,758,649,862,323,215,366,736,018,107,579,874,883,351,794,997,
187,676,286,781,495,106,936,383,195,330,237,047,686,865,702,371,587,980,798,
216,544,973,067,011,469,614,307,146,768,548,288,337,121,278,549,093,635,829,
042,066,982,243,785,769,327,880,465,674,049,959,082,553,870,656,909,400,766,
600,259,394,169,605,504,440,421,495,967,610,205,043,630,875,482,183,754,827,
145,192,614,784,271,705,437,331,768,017,871,606,714,140,593,688,886,715,832,
868,228,627,443,078,502,241,061,086,895,562,673,477,272,994,117,889,188,385,
673,504,939,389,456,119,946,737,954,900,532,382,419,682,750,915,197,224,120,
393,122,639,124,208,264,831,068,513,592,354,114,131,441,562,520,527,793,621,
082,546,176,923,441,739,564,921,325,724,983,672,111,613,442,041,016,096,177,
132,387,882,484,072,233,431,400,324,688,929,822,120,676,216,877,490,410,416,
595,663,262,465,234,963,516,472,854,334,229,058,026,814,549,916,980,036,784,
315,505,017,959,766,124,578,470,934,161,054,318,231,007,465,877,744,037,684,
227,438,450,537,051,088,047,834,060,714,514,824,189,693,816,112,109,548,424,
375,160,097,629,275,779,611,305,815,093,417,044,937,524,462,798,318,692,324,
587,046,459,118,930,914,977,777,605,058,368,589,193,466,452,376,980,061,978,
152,645,788,617,038,927,609,990,977,962,701,346,764,201,695,868,106,687,908,
739,990,796,963,269,701,368,811,118,478,559,289,934,164,065,235,105,639,649,
752,429,801,377,102,354,056,395,047,984,377,788,525,409,829,497,089,172,376,
355,185,911,253,102,658,393,971,124,867,986,085,434,289,796,155,998,077,927,
232,981,706,124,139,922,806,833,202,054,829,166,486,814,326,555,500,181,485,
251,883,266,624,682,056,894,176,544,777,020,245,895,791,600,283,614,522,570,
235,442,146,605,405,830,486,308,200,027,969,091,928,131,989,118,554,272,403,
686,335,062,439,345,214,020,167,350,325,556,482,584,179,027,385,244,674,706,
302,801,416,982,483,918,550,238,667,726,486,442,045,858,319,834,542,055,202,
304,626,679,032,998,139,651,584,617,384,624,402,698,403,879,022,931,568,088,
573,564,578,198,731,885,736,705,692,377,724,838,704,678,647,366,232,815,684,
939,182,471,568,640,558,534,040,840,241,481,469,037,453,050,767,864,808,312,
885,456,677,075,557,290,673,968,537,034,084,394,173,007,407,998,007,720,213,
810,281,392,113,168,831,188,180,857,894,203,198,814,202,843,737,879,585,826,
266,957,405,969,900,856,972,598,020,737,473,447,459,007,672,675,491,456,600,
225,255,762,818,540,669,279,456,354,598,727,564,743,910,709,169,284,033,735,
177,325,517,121,891,817,376,786,627,864,804,358,197,085,199,044,994,797,217,
072,429,465,990,077,302,981,031,114,035,913,269,475,475,151,295,147,586,275,
580,042,662,238,538,276,634,878,307,073,025,929,856,426,346,771,383,322,898,
082,003,031,802,314,491,295,632,799,736,821,438,962,783,540,863,649,046,676,
377,273,465,373,403,250,786,593,591,274,042,725,362,516,903,256,765,970,297,
970,991,407,815,546,918,841,400,494,181,650,855,830,752,314,374,519,200,832,
651,204,354,639,967,427,652,365,414,114,610,282,839,314,825,491,956,937,162,
493,849,044,568,467,532,346,716,529,733,413,384,935,895,900,604,023,599,914,
113,261,405,282,303,107,715,410,786,210,798,634,210,663,915,403,729,303,083,
828,413,279,027,091,970,973,177,103,141,393,683,213,334,251,105,551,525,485,
237,631,794,483,936,349,585,776,400,235,119,317,035,494,536,872,048,638,602,
396,876,641,719,796,273,496,054,365,306,403,378,473,948,927,799,647,959,697,
740,214,701,579,440,349,606,418,829,696,800,322,571,006,029,583,849,540,850,
506,578,750,298,950,714,821,209,398,008,700,849,318,591,132,396,737,140,094,
196,975,189,061,147,195,104,791,456,667,783,417,993,106,791,583,794,021,515,
914,311,054,848,516,849,558,559,980,805,809,453,122,123,217,699,192,357,476,
940,990,481,953,248,403,057,795,563,534,702,686,492,884,388,874,614,964,998,
153,987,090,750,923,007,420,644,917,974,197,781,155,792,795,801,765,562,087,
712,058,267,123,737,286,438,413,224,602,140,452,097,522,598,838,733,739,067,
116,708,513,069,786,635,617,992,885,752,159,754,673,159,453,034,676,595,158,
175,819,865,144,515,504,698,861,592,060,555,418,160,725,852,261,549,858,985,
019,853,291,020,444,646,509,931,223,573,729,028,309,775,366,591,421,477,358,
203,126,066,092,219,162,869,209,778,256,561,818,156,458,061,548,798,326,377,
027,829,802,272,415,865,456,453,103,701,368,157,736,213,619,293,691,446,874,
605,057,024,211,007,076,795,821,777,347,084,923,621,421,962,523,306,681,915,
268,605,422,342,709,377,631,572,119,452,364,678,767,416,363,493,576,031,103,
343,879,432,004,048,817,013,792,863,464,192,193,077,519,340,522,638,186,552,
530,701,946,185,507,061,673,631,653,276,556,752,504,184,346,288,765,672,127,
425,927,187,181,815,900,392,156,471,256,059,412,842,877,184,435,231,851,384,
314,267,656,619,676,171,976,170,107,860,524,456,907,625,649,051,474,887,404,
277,584,111,786,302,755,189,929,116,509,192,203,524,848,641,031,539,485,088,
968,091,354,591,832,752,397,267,123,050,429,388,729,431,565,461,946,596,104,
174,728,758,308,219,467,880,561,065,246,291,834,212,239,779,646,369,028,581,
468,444,282,616,969,367,522,006,331,572,991,447,155,020,035,166,400,627,381,
207,736,354,233,737,587,622,897,900,466,558,510,895,147,925,387,951,569,769,
403,874,879,986,987,702,376,121,598,829,304,526,776,046,152,973,890,026,670,
986,228,252,680,365,988,326,987,108,843,680,187,174,621,723,971,357,039,032,
557,583,941,286,529,727,788,868,192,614,002,931,306,819,934,605,235,709,477,
604,634,375,077,511,205,086,834,798,040,314,627,787,434,437,934,573,412,975,
027,280,638,656,178,210,640,651,738,204,845,643,328,383,046,479,420,730,410,
972,836,775,539,261,536,709,781,510,037,230,259,772,034,333,150,773,175,393,
428,792,687,697,424,111,935,435,080,097,518,154,408,458,919,940,727,960,335,
994,234,537,210,192,743,962,519,665,984,342,380,128,689,123,007,721,248,443,
385,947,746,281,464,986,597,537,672,923,474,439,907,949,230,625,593,045,344,
284,388,248,051,133,729,598,619,138,608,638,844,473,736,519,044,375,864,509,
208,647,582,785,343,901,318,490,773,584,602,333,633,757,373,781,019,525,253,
368,208,020,591,889,586,334,123,944,388,681,462,262,213,390,102,998,616,315,
512,269,433,046,703,252,840,673,127,492,654,661,808,041,020,332,253,967,607,
456,543,654,466,926,751,867,931,672,291,911,383,299,797,105,195,450,884,024,
197,662,459,624,269,647,542,049,645,523,390,722,248,103,436,214,716,193,336,
865,577,140,770,757,874,356,603,756,780,222,684,463,314,915,448,578,692,616,
003,983,619,635,150,470,187,369,479,351,846,857,572,096,561,871,820,185,642,
309,413,111,698,077,753,453,087,670,679,810,237,412,541,405,335,606,696,380,
292,397,503,884,212,538,550,080,574,877,818,720,967,663,379,273,661,421,368,
245,333,164,667,455,511,571,610,220,992,098,916,608,120,266,442,308,526,960,
123,112,127,955,974,336,097,265,175,538,505,848,935,443,275,991,762,567,437,
132,761,664,944,195,262,947,681,845,949,880,936,250,864,643,943,644,584,593,
361,006,151,751,571,320,918,257,390,657,865,294,345,598,573,554,191,614,762,
633,739,419,074,287,706,973,076,214,803,252,236,112,852,553,738,095,837,174,
260,147,543,584,322,503,990,779,445,748,011,977,267,927,399,927,674,737,148,
275,471,759,576,690,024,160,571,483,230,747,590,738,372,129,590,039,218,554,
199,871,236,875,450,844,638,714,897,924,121,579,121,130,153,864,026,534,073,
257,010,500,692,372,286,834,723,859,199,314,692,897,407,942,407,620,783,876,
777,764,350,021,253,531,895,784,293,824,230,673,983,092,970,618,105,485,024,
092,427,881,580,884,037,842,173,723,170,766,224,832,869,674,662,140,826,584,
411,095,026,895,665,139,797,436,491,577,599,567,820,862,408,356,257,902,251,
592,656,301,276,652,196,127,517,680,801,865,920,942,342,446,103,951,052,998,
380,049,169,509,812,800,565,352,092,050,721,979,742,706,224,246,557,264,164,
372,858,192,273,094,418,799,478,376,696,473,773,844,189,849,176,640,045,777,
292,456,980,362,820,917,091,336,373,979,075,459,067,360,242,574,410,344,037,
138,381,119,490,788,035,349,110,107,721,586,580,242,643,342,799,860,075,402,
098,200,996,099,324,817,158,529,277,624,399,345,918,558,241,877,604,821,620,
940,771,771,939,439,573,383,863,605,308,729,591,324,261,680,581,966,926,018,
703,172,793,108,045,392,292,015,953,584,253,776,210,326,135,139,401,092,569,
449,293,177,729,945,531,826,204,511,778,971,654,798,583,904,869,635,254,597,
877,268,395,194,037,296,656,490,469,560,581,446,406,366,565,072,319,837,754,
340,113,343,976,401,112,236,355,651,585,583,407,455,238,396,097,428,758,805,
315,810,452,038,082,596,444,788,693,887,405,915,110,113,652,153,081,449,247,
469,826,130,714,126,506,761,394,392,076,088,337,309,959,108,819,921,354,699,
052,461,801,333,091,276,623,472,757,794,713,325,253,859,689,248,569,589,605,
706,108,774,903,414,933,986,701,135,254,724,048,545,194,610,257,679,797,229,
184,064,811,368,050,956,552,972,277,956,916,719,997,589,806,731,711,724,737,
744,149,506,908,285,696,859,988,766,655,657,715,690,159,246,640,276,343,176,
072,744,047,901,829,293,747,345,988,677,751,937,985,693,516,560,215,349,215,
874,535,991,405,520,829,374,472,014,233,467,470,968,636,188,095,438,942,622,
699,730,688,033,318,001,690,483,262,684,653,506,613,186,750,224,808,619,327,
200,081,671,193,133,687,229,975,063,477,108,840,496,763,646,151,488,030,915,
414,393,111,795,021,682,072,836,628,601,144,805,568,967,623,650,514,036,726,
336,886,594,617,976,998,873,420,343,755,713,572,468,707,335,421,251,927,634,
295,110,425,795,698,396,692,345,258,386,479,948,341,312,255,693,080,731,398,
972,935,297,224,991,752,439,079,409,141,962,642,300,576,022,511,624,488,351,
973,828,953,475,523,028,482,887,131,635,081,952,816,403,427,740,894,990,725,
005,189,288,368,902,031,315,342,290,342,983,435,871,979,765,102,518,679,207,
211,017,760,733,879,201,827,558,341,076,452,374,370,748,819,598,763,944,569,
036,236,112,532,174,808,319,436,142,237,190,049,126,753,455,789,354,527,643,
851,698,631,191,028,489,927,881,914,000,024,220,293,162,642,880,044,293,543,
804,012,072,974,672,536,069,996,200,699,032,204,839,033,869,224,448,371,199,
269,890,679,239,495,180,809,505,784,094,115,088,950,644,604,653,745,525,154,
954,437,886,739,322,447,341,098,184,478,451,773,011,937,549,520,799,208,751,
157,264,102,010,268,850,422,612,365,790,679,826,439,974,036,702,927,988,980,
795,917,428,031,653,785,382,851,069,949,355,777,729,930,732,093,680,895,179,
455,058,834,687,442,979,389,182,237,273,772,845,297,163,866,945,438,501,392,
511,675,407,378,416,672,137,446,947,608,816,257,121,583,190,631,093,491,954,
262,742,158,310,968,735,817,257,658,916,620,176,233,112,446,460,081,873,099,
612,331,102,728,863,699,037,100,303,921,573,992,653,519,068,043,321,450,696,
332,641,262,938,090,199,503,169,720,322,215,605,301,012,157,505,246,988,814,
126,272,446,549,086,387,652,864,761,511,921,396,628,430,526,214,863,942,078,
181,551,588,673,348,573,879,641,183,688,522,885,985,418,636,012,385,629,278,
412,704,057,574,279,951,775,385,629,745,115,200,084,403,772,475,545,725,100,
874,095,144,997,902,298,137,724,942,971,137,384,304,729,379,828,600,804,025,
426,096,552,405,473,980,724,483,663,139,316,256,851,292,427,149,882,874,713,
810,813,916,504,045,637,241,641,175,256,129,405,905,629,864,481,346,509,402,
287,150,860,493,978,031,580,934,519,448,384,421,919,486,354,126,744,630,606,
178,388,168,442,287,710,687,797,546,219,552,360,538,344,461,574,431,426,624,
141,519,770,001,382,546,091,584,435,745,155,913,500,579,122,097,455,141,786,
747,345,270,010,745,082,684,507,361,139,135,450,000,837,665,738,774,930,794,
336,317,215,366,992,653,270,172,009,075,875,775,080,524,780,813,052,643,959,
595,336,063,845,757,521,215,911,353,427,541,581,215,225,168,106,510,367,679,
668,712,731,397,386,560,708,833,958,744,158,426,997,159,504,273,191,422,292,
723,572,973,940,981,944,141,268,244,508,074,150,384,980,260,252,141,340,963,
838,580,647,932,714,395,288,684,095,990,196,178,593,162,795,883,204,885,043,
979,746,780,138,349,652,331,834,395,351,005,290,140,237,285,115,456,892,627,
757,303,487,950,032,846,859,771,105,215,263,879,507,714,011,429,473,076,289,
898,664,084,478,861,527,489,390,900,420,051,170,986,492,003,124,095,435,615,
950,427,403,967,543,022,150,018,580,106,183,123,528,204,187,997,538,017,609,
817,709,387,119,127,034,898,737,609,854,750,481,316,946,696,621,083,725,802,
796,011,917,879,897,406,052,817,500,832,023,992,308,633,885,760,116,349,080,
765,255,343,710,730,276,518,565,589,388,232,186,412,612,161,327,288,781,603,
876,001,938,940,145,028,656,984,819,929,160,549,603,864,580,374,067,708,525,
408,027,094,867,932,349,805,010,273,694,221,611,146,787,995,528,130,598,073,
985,021,309,159,055,158,782,145,613,957,187,876,860,959,014,486,759,394,557,
780,460,111,659,296,299,142,799,886,151,732,521,510,090,589,894,856,772,644,
326,066,069,342,418,613,689,676,108,953,736,285,558,631,722,578,710,206,856,
964,564,352,890,199,260,354,648,847,217,593,842,828,995,918,767,203,863,520,
574,789,706,583,977,084,890,664,296,253,405,755,629,012,816,442,249,434,451,
513,199,029,849,084,370,370,436,984,367,792,782,873,619,693,327,759,466,917,
833,045,690,892,631,467,732,547,020,944,864,610,392,731,821,021,214,532,351,
735,703,798,560,940,465,146,396,828,569,075,399,780,684,938,777,129,358,259,
950,801,246,384,992,836,648,601,908,268,790,014,756,951,461,360,917,076,944,
530,909,027,811,757,267,691,481,416,684,593,870,833,290,079,517,539,741,024,
541,497,157,813,859,611,112,515,589,034,890,360,816,806,907,774,660,228,638,
860,159,294,932,417,015,167,309,394,140,492,751,220,482,339,814,562,705,791,
823,217,357,615,135,932,904,172,686,467,495,224,263,486,170,932,535,313,247,
164,141,811,175,420,668,698,189,693,484,914,011,288,967,777,385,418,306,284,
191,238,017,120,378,209,527,871,313,760,962,308,767,883,622,809,773,684,557,
587,403,348,893,852,978,236,403,962,714,002,840,142,350,586,906,755,643,035,
623,071,424,712,715,393,120,493,847,189,299,766,286,836,524,790,483,810,179,
745,747,878,704,599,863,773,272,956,751,622,073,210,512,461,326,148,480,768,
086,145,545,933,822,839,374,686,693,177,100,825,880,639,054,248,311,844,889,
086,687,851,051,895,251,903,325,822,466,258,646,205,619,619,092,071,274,476,
223,550,003,379,107,409,465,096,265,221,899,259,216,211,488,898,357,079,833,
762,390,361,201,626,256,468,368,031,197,679,967,289,061,893,599,107,411,609,
085,258,143,779,112,893,314,396,047,916,647,427,083,000,087,978,563,547,080,
120,696,015,841,463,596,224,153,818,634,515,424,068,296,177,699,468,948,606,
259,984,511,730,039,049,510,420,976,510,774,500,629,314,784,824,487,483,968,
895,137,606,352,890,667,565,541,712,546,424,468,823,364,491,969,987,049,911,
782,641,369,086,015,266,485,827,458,477,990,360,886,553,936,293,807,842,549,
468,593,677,179,726,308,579,184,802,780,657,019,224,669,337,729,352,242,237,
307,678,678,631,680,748,877,904,756,184,324,878,470,585,617,424,603,631,984,
929,410,522,933,204,929,945,676,365,401,468,328,050,297,627,816,917,799,936,
931,934,932,303,417,041,348,676,289,748,429,012,672,030,107,362,795,579,462,
253,173,054,613,644,973,685,510,451,400,665,967,821,503,763,277,514,533,986,
256,696,437,121,820,787,762,160,020,954,830,864,173,916,778,535,951,256,133,
456,005,326,412,250,418,227,114,087,684,691,218,600,233,817,568,146,064,266,
374,441,372,508,320,894,677,892,878,457,774,063,326,793,401,612,865,416,073,
431,553,682,761,564,749,333,969,359,995,056,106,117,615,526,759,742,359,334,
994,518,871,425,839,553,086,667,222,295,997,184,874,076,049,876,167,710,050,
080,015,834,023,031,663,492,426,789,748,863,038,117,271,671,749,198,701,287,
231,001,966,449,055,256,383,868,153,448,765,868,649,997,984,079,887,976,465,
008,838,134,120,253,764,637,531,900,330,273,176,940,326,844,866,182,389,199,
366,247,497,482,074,874,849,431,004,858,020,383,197,415,294,180,590,810,549,
841,010,755,088,193,260,623,716,189,719,079,198,663,574,931,521,994,933,848,
246,076,870,494,832,040,206,250,182,672,098,280,644,486,813,945,882,436,499,
208,644,622,201,443,365,246,759,583,048,519,687,741,313,238,987,815,866,286,
664,795,768,955,941,959,569,550,276,441,371,958,391,752,409,188,378,752,916,
399,268,707,141,076,761,203,866,643,189,364,813,534,383,897,576,630,544,779,
404,494,218,599,257,020,647,716,026,383,028,938,719,833,584,254,357,947,524,
669,089,832,029,691,822,785,025,333,174,918,674,720,158,344,727,936,846,067,
610,467,028,092,088,124,098,442,361,470,064,962,590,812,623,762,342,931,823,
814,846,815,370,308,140,262,535,944,948,837,653,910,103,582,956,651,219,080,
442,423,510,463,048,997,654,752,037,799,674,800,689,072,448,931,212,899,681,
475,576,391,515,742,005,875,805,061,104,186,159,276,957,166,085,078,172,882,
633,498,815,986,452,696,718,852,535,220,796,866,713,285,198,671,571,398,372,
826,067,229,740,115,449,129,705,070,382,666,698,317,970,191,240,019,412,034,
183,398,001,956,054,483,004,881,827,871,195,245,096,503,334,743,167,101,568,
327,687,860,448,234,232,379,638,972,511,071,230,449,432,610,270,600,859,291,
487,926,264,194,585,305,139,572,516,537,044,263,045,216,621,871,961,495,475,
681,532,722,244,434,564,836,124,794,712,405,640,368,672,365,035,944,484,015,
679,000,251,804,450,907,923,909,780,169,175,243,345,661,555,970,879,298,809,
548,295,602,169,814,499,218,063,289,631,210,907,876,698,988,047,991,845,062,
096,979,095,391,825,692,125,448,509,527,636,357,963,256,639,488,128,679,968,
607,547,467,527,117,005,880,008,671,070,469,958,111,868,632,164,941,657,412,
490,004,504,570,222,705,736,142,508,480,213,855,807,957,353,012,945,034,774,
376,853,269,889,523,669,801,623,217,014,411,415,499,051,599,158,993,742,680,
717,315,879,828,112,998,283,692,794,032,841,276,673,260,307,217,303,429,583,
987,628,322,202,797,087,817,528,027,065,680,774,813,332,924,361,521,706,140,
417,791,598,749,042,751,509,549,493,935,254,172,537,266,102,785,082,292,360,
513,182,995,315,727,021,715,387,931,043,411,753,749,080,273,236,323,352,155,
180,017,012,118,462,135,517,829,484,188,706,859,131,196,239,441,606,305,843,
253,864,171,257,745,171,242,274,644,028,604,475,417,762,465,920,917,579,416,
490,450,070,085,958,178,990,946,662,730,487,948,603,688,350,866,878,729,420,
526,645,098,667,787,308,706,295,281,909,275,508,039,501,133,333,041,531,768,
217,511,557,370,835,874,610,768,257,627,718,198,230,625,791,970,167,927,090,
183,656,440,222,868,519,246,047,784,773,809,977,051,913,140,067,960,686,275,
504,861,633,195,174,278,148,015,095,379,991,077,083,569,108,264,726,772,569,
701,633,709,725,718,865,158,367,678,615,582,843,004,494,143,878,601,839,112,
759,083,266,321,857,336,766,197,318,568,842,188,820,620,065,967,136,902,459,
517,766,135,941,374,045,297,914,917,969,402,543,787,648,325,738,981,234,541,
905,212,474,334,949,916,948,537,007,362,480,822,801,239,376,022,416,517,730,
881,590,273,248,954,957,894,330,351,474,478,719,476,814,251,737,446,771,749,
970,612,871,567,198,227,792,154,253,752,413,738,142,905,797,920,390,138,961,
277,045,355,964,362,845,743,156,200,005,275,732,732,664,175,062,294,462,586,
139,522,142,869,190,130,908,996,033,156,483,472,331,007,071,947,263,755,836,
429,219,796,112,332,260,981,379,847,775,114,384,965,522,573,073,516,556,789,
236,218,687,163,229,327,541,338,243,657,486,636,183,028,549,555,374,200,653,
213,115,974,067,891,589,091,966,328,755,989,621,272,380,376,052,260,669,851,
474,202,078,227,313,899,963,593,183,692,714,014,109,530,353,424,421,985,063,
944,069,321,940,194,927,356,462,004,051,835,418,587,165,658,317,695,673,139,
062,411,576,323,521,777,634,473,175,276,934,512,449,415,121,005,386,862,158,
578,346,448,565,499,540,745,555,984,785,126,429,987,086,120,632,252,661,562,
833,151,811,090,437,197,626,307,046,354,591,973,812,021,645,413,915,675,059,
019,560,072,947,821,243,813,375,009,629,026,473,146,432,479,685,422,967,285,
053,183,268,744,169,413,491,053,320,543,012,766,453,360,426,939,133,421,432,
369,741,188,633,932,219,165,269,699,552,610,959,590,231,845,649,641,773,331,
460,029,441,925,051,834,326,210,003,117,980,317,434,169,594,178,721,537,502,
109,153,406,668,961,959,984,116,033,980,991,506,163,179,570,700,882,546,443,
341,825,993,234,243,039,012,374,342,959,257,433,327,069,038,012,204,236,716,
875,664,772,034,883,753,486,117,253,582,849,106,365,534,104,429,103,011,357,
470,801,438,130,326,570,408,157,520,804,663,056,180,119,038,429,138,824,469,
377,497,653,697,609,504,733,606,265,514,333,662,490,902,051,845,579,946,916,
367,177,468,008,094,324,412,865,857,992,634,962,639,907,964,729,768,277,885,
553,300,916,556,915,402,032,073,303,105,568,603,960,392,093,426,194,119,674,
065,770,055,524,600,337,412,526,120,004,925,227,454,795,717,348,863,785,231,
835,087,074,467,290,988,969,863,363,626,162,850,949,314,665,987,926,830,356,
128,494,302,674,194,642,688,342,796,398,484,052,589,075,608,615,121,242,731,
552,201,012,566,279,970,157,959,179,260,544,312,922,209,605,688,118,397,099,
198,685,632,053,789,844,352,701,936,890,243,981,734,652,587,852,937,065,685,
706,481,748,781,697,168,499,363,028,582,172,541,362,440,393,805,325,022,984,
916,622,845,702,754,949,850,164,091,725,200,650,769,208,241,548,061,945,089,
237,761,127,804,485,344,915,663,160,903,251,801,808,530,865,726,884,932,162,
929,694,947,536,258,968,188,846,173,593,166,046,872,389,694,055,192,070,981,
190,494,244,628,333,043,978,817,973,298,644,448,355,589,354,948,271,789,853,
460,397,654,370,591,942,126,973,045,249,904,274,568,700,690,720,245,841,271,
283,817,484,896,661,146,423,469,348,476,750,468,735,756,381,663,631,990,854,
539,083,396,637,618,293,199,668,993,804,172,309,771,298,144,686,591,929,837,
064,285,461,729,489,980,208,886,799,098,609,487,878,338,658,240,541,365,927,
099,615,172,568,831,295,117,252,640,625,567,790,211,864,869,208,489,011,296,
742,784,223,781,595,738,979,554,266,405,648,037,584,341,454,316,691,532,292,
740,075,097,945,333,791,197,473,555,358,355,372,870,869,510,985,400,735,732,
561,632,138,238,132,870,865,923,347,190,602,431,972,073,911,921,493,141,347,
886,525,247,253,015,985,789,847,196,328,097,949,113,862,398,157,279,151,235,
905,393,428,346,184,362,192,052,269,620,095,454,052,654,856,258,656,729,061,
226,967,021,231,928,039,903,576,509,534,127,308,512,247,614,591,955,692,748,
298,669,083,782,690,302,627,071,714,649,655,618,247,708,101,325,377,923,739,
307,234,104,310,254,966,130,471,325,839,542,587,822,445,726,505,910,326,688,
794,604,788,167,724,624,665,876,670,491,971,852,791,530,078,886,492,203,774,
653,420,076,553,357,421,136,543,318,324,635,906,621,024,843,430,515,714,958,
060,956,811,127,431,887,661,702,714,152,012,315,821,256,496,359,038,361,874,
557,859,820,638,466,032,934,294,472,961,616,209,444,037,428,476,616,364,250,
405,257,704,398,323,873,446,810,552,112,934,567,636,520,511,919,818,560,295,
185,670,863,913,504,385,308,679,404,093,537,203,884,159,405,813,241,057,606,
617,078,741,295,886,519,124,792,130,335,110,369,250,454,204,976,590,355,822,
653,177,785,840,715,386,925,071,522,368,089,253,772,482,128,817,905,591,208,
400,728,336,994,786,870,818,645,246,631,417,033,599,840,779,064,494,317,155,
482,237,761,347,515,711,759,454,269,200,133,010,010,346,496,468,635,480,911,
669,345,469,609,123,711,307,310,213,690,899,127,052,298,738,210,224,636,406,
208,112,837,015,943,196,408,631,721,122,672,686,818,330,065,847,877,010,477,
226,038,389,076,813,925,582,163,221,638,775,510,432,078,675,080,548,386,706,
459,679,240,751,323,160,473,585,016,016,234,453,172,104,850,981,189,284,638,
609,555,038,405,079,175,673,016,672,383,661,690,538,962,038,388,784,787,213,
046,947,405,288,359,462,735,649,944,533,817,088,445,938,010,015,863,417,092,
456,820,351,050,699,678,396,344,404,994,311,459,099,404,610,461,640,743,489,
122,936,339,761,072,007,612,522,989,590,087,250,696,506,841,629,319,205,278,
458,804,573,884,838,371,951,752,509,397,667,291,953,002,212,253,940,661,139,
415,594,383,098,905,438,344,146,807,733,139,133,591,897,298,366,783,296,301,
499,742,610,696,035,818,451,728,209,131,062,373,830,137,070,454,807,569,623,
634,788,298,843,062,395,943,997,843,509,984,011,940,872,554,171,299,643,422,
397,242,801,921,561,662,896,965,962,255,250,183,490,726,277,648,463,043,229,
341,643,776,605,998,826,709,444,999,922,488,560,942,785,028,434,578,904,747,
253,106,163,668,433,554,279,492,956,256,876,527,236,594,792,650,964,216,630,
847,796,368,796,673,969,487,524,547,085,976,828,357,105,415,721,365,681,605,
103,379,068,448,310,018,669,374,293,769,101,660,303,645,159,285,270,281,331,
607,764,959,651,660,761,566,346,840,949,653,243,017,234,187,942,214,760,439,
597,068,051,936,659,364,971,002,071,083,372,341,140,955,619,837,892,600,210,
124,645,295,434,324,352,687,742,773,539,450,268,192,598,465,275,215,291,334,
049,851,080,202,249,749,961,513,537,955,134,315,538,677,568,671,397,401,426,
337,271,764,708,934,487,215,885,581,357,623,751,966,493,114,222,065,582,121,
562,131,033,449,738,271,958,311,196,185,841,299,804,594,823,578,605,915,140,
532,240,530,250,077,867,359,710,871,728,789,357,293,431,344,523,570,673,747,
211,471,101,180,581,456,759,303,778,955,644,202,280,566,921,719,174,927,758,
658,911,648,054,480,672,619,867,609,859,823,037,103,956,134,910,762,637,145,
939,070,254,478,320,436,133,206,446,653,329,822,299,260,894,643,749,583,059,
784,328,576,857,871,806,179,299,812,764,527,290,114,579,224,891,825,123,438,
786,870,482,308,868,852,448,667,353,945,118,426,655,793,135,614,785,162,479,
747,822,224,032,434,858,859,257,419,982,210,795,769,498,445,428,061,629,939,
547,338,634,925,009,749,329,039,404,927,632,213,574,854,642,175,109,982,281,
266,991,953,386,286,458,490,350,732,697,956,269,483,892,258,749,411,734,740,
249,888,465,974,221,898,524,761,656,309,449,817,098,875,731,732,464,759,781,
533,820,065,792,074,979,791,211,505,265,815,782,886,875,915,020,447,551,177,
698,646,983,624,701,872,871,980,900,337,828,585,128,466,389,934,218,073,480,
429,058,597,081,368,827,167,267,068,867,431,782,512,944,258,404,680,399,951,
651,314,694,104,883,296,128,259,768,857,430,758,640,784,109,947,416,047,917,
775,470,384,090,694,539,664,447,372,665,853,179,797,825,414,899,674,399,795,
590,208,014,824,930,900,262,270,565,297,009,360,738,966,328,703,954,510,250,
580,293,673,661,564,164,789,356,423,107,213,397,457,044,243,719,411,309,403,
966,711,763,480,133,581,694,314,027,859,011,307,358,722,886,804,832,216,699,
281,576,468,540,332,227,098,093,364,801,055,885,148,110,904,240,058,045,827,
818,126,169,693,337,096,091,770,800,978,892,613,296,538,066,751,995,105,601,
190,300,357,067,323,690,888,952,223,689,239,911,409,310,265,058,760,441,045,
262,417,460,469,058,716,524,256,534,849,365,978,216,394,879,878,899,177,509,
206,182,076,749,579,937,522,207,360,677,685,791,791,432,869,561,378,347,226,
433,762,129,403,033,622,264,187,588,790,701,012,540,720,265,719,396,994,394,
770,462,978,665,848,822,721,294,953,974,885,971,224,056,492,728,090,283,421,
844,568,471,630,545,866,261,691,506,153,482,500,137,603,154,606,258,957,721,
226,756,109,421,993,375,112,598,280,255,535,673,902,493,773,204,749,913,982,
165,774,197,198,102,763,495,344,376,756,716,073,361,944,029,660,602,095,675,
012,870,171,926,274,436,210,884,145,153,075,802,184,347,168,055,471,613,881,
234,102,835,781,991,307,913,622,758,528,411,422,024,124,051,616,315,133,366,
208,348,694,817,792,358,151,484,624,275,005,334,497,738,888,225,644,470,945,
380,447,124,140,419,852,883,012,489,455,039,475,791,124,124,226,459,351,872,
251,827,962,718,523,379,434,751,022,296,743,480,373,527,977,561,100,488,812,
524,048,993,193,499,300,287,000,619,265,453,052,129,874,798,968,391,494,410,
712,572,661,058,688,048,505,702,988,855,528,860,735,846,616,827,338,687,691,
017,388,222,716,358,416,042,777,734,260,020,263,694,664,335,783,606,251,287,
285,718,407,611,878,233,865,571,525,425,519,789,646,201,208,438,825,195,112,
406,150,363,629,877,499,316,172,582,506,169,054,953,294,902,910,115,900,003,
484,423,533,842,562,084,529,953,993,569,260,554,238,174,841,037,851,693,895,
999,129,602,937,514,046,163,637,215,607,480,678,121,679,814,650,545,591,587,
455,177,608,367,533,864,408,988,575,512,550,230,428,547,745,726,012,435,698,
456,184,405,971,378,837,947,044,299,910,195,880,737,363,093,487,444,940,164,
470,993,957,508,199,076,105,842,079,113,012,902,312,592,211,899,465,532,945,
056,798,255,595,753,803,064,466,204,432,861,560,844,938,321,402,201,988,106,
393,581,500,442,650,741,440,546,805,254,125,617,183,416,694,089,814,326,241,
144,456,267,819,997,693,194,089,888,516,688,934,037,469,493,899,855,953,388,
563,117,721,735,386,173,400,708,416,637,902,406,422,751,808,736,429,131,485,
646,435,253,488,641,541,299,028,563,174,483,054,568,474,835,262,517,747,295,
552,720,803,510,880,255,699,526,266,239,058,683,785,944,861,561,263,086,433,
350,751,782,403,008,972,601,193,722,743,885,865,934,820,183,478,067,965,864,
574,400,009,345,719,922,861,350,189,574,149,827,279,274,398,059,850,838,304,
238,004,196,473,006,715,756,628,470,515,172,029,829,174,313,037,063,097,293,
454,425,707,682,896,153,594,285,964,527,975,941,188,648,951,953,103,689,828,
697,354,383,532,572,971,232,092,226,078,897,968,631,383,368,170,317,827,178,
089,010,749,888,331,184,529,632,238,001,839,475,861,950,090,718,203,547,259,
284,297,392,016,171,091,937,844,077,661,754,552,550,314,737,522,341,780,556,
198,949,408,280,364,183,795,123,048,338,883,443,929,952,510,553,979,920,675,
718,688,886,035,818,248,193,926,092,569,746,010,484,506,270,981,842,518,911,
707,728,357,690,440,811,516,866,549,796,083,157,884,336,374,470,629,188,039,
159,449,446,293,089,372,104,144,376,840,619,784,071,378,719,411,535,312,272,
231,209,991,881,808,553,378,024,806,751,170,892,230,288,534,341,834,120,259,
292,773,058,108,141,336,703,162,074,840,586,373,528,208,085,107,073,268,083,
786,191,280,069,590,798,430,230,325,194,424,766,548,582,260,359,380,001,017,
730,773,566,567,793,449,415,585,620,617,322,785,086,748,288,507,526,622,604,
004,149,338,738,886,016,208,207,442,247,799,519,568,095,047,521,901,180,118,
889,519,103,083,531,200,155,859,605,349,550,138,074,816,146,091,608,588,873,
971,568,856,881,382,238,694,147,949,862,672,032,993,349,204,107,079,321,620,
779,594,400,160,221,760,639,372,719,102,357,838,391,409,628,326,374,052,514,
482,860,921,723,940,398,242,651,103,061,882,511,503,892,877,638,448,694,710,
141,693,012,074,299,277,314,223,764,625,578,856,457,318,425,588,759,043,975,
866,820,412,091,055,817,701,636,201,508,735,785,012,659,128,326,724,980,080,
441,818,215,292,615,328,231,962,056,887,133,434,011,354,059,679,581,732,868,
612,783,550,456,743,538,681,082,075,199,822,862,294,888,911,344,994,824,283,
254,997,834,994,487,834,242,749,591,687,400,838,338,665,086,267,293,013,284,
007,303,600,354,403,184,089,740,155,369,707,254,116,632,162,891,524,023,526,
933,077,962,901,381,937,883,075,242,944,117,420,282,481,798,791,365,979,282,
114,039,959,702,944,048,995,680,498,416,848,120,060,301,794,381,950,836,519,
125,829,617,884,830,724,471,003,819,580,581,048,435,920,098,993,797,403,593,
273,292,996,654,893,093,269,241,945,537,963,322,763,784,046,308,576,053,474,
945,165,732,646,923,707,842,243,661,659,647,280,359,958,641,460,581,062,353,
355,425,308,126,907,615,672,288,733,451,660,400,773,714,248,226,938,973,744,
535,010,389,456,951,561,857,862,216,642,172,868,873,282,555,497,708,564,691,
040,876,390,458,770,627,793,175,959,306,338,001,690,093,285,497,472,094,744,
884,547,590,344,063,161,788,612,270,136,039,538,078,276,197,671,198,903,480,
876,466,549,579,775,786,997,471,279,007,702,521,804,058,208,077,117,174,503,
355,398,588,547,768,858,064,198,702,478,625,559,538,705,125,199,014,173,208,
921,419,693,386,620,944,549,651,036,809,253,187,147,393,900,014,471,722,031,
915,749,217,788,683,328,516,543,230,579,396,014,938,491,340,259,202,206,920,
995,703,454,844,783,691,435,193,205,789,274,146,914,302,833,604,667,964,833,
707,549,543,063,173,271,754,583,772,230,629,025,906,089,339,142,236,500,818,
324,950,336,095,631,224,609,667,412,840,135,310,869,077,486,009,955,593,856,
322,503,334,756,212,955,271,658,730,714,299,369,259,224,582,409,052,191,464,
824,392,625,165,789,196,311,835,642,616,338,916,260,837,310,666,050,397,854,
924,506,765,376,192,986,707,663,433,552,839,089,367,910,801,798,544,207,414,
446,721,727,879,374,517,883,059,708,488,420,584,963,429,887,031,588,801,420,
580,140,410,629,235,838,363,734,891,511,565,978,803,285,181,517,090,356,346,
116,827,334,562,877,851,396,620,712,238,341,543,526,392,439,199,801,509,372,
913,385,683,047,607,748,353,485,351,671,347,312,325,692,674,492,253,510,995,
098,556,815,141,892,732,655,717,969,178,875,361,125,673,086,726,292,462,879,
446,874,059,320,434,438,001,938,309,214,345,995,619,942,953,218,689,303,821,
419,179,689,725,846,036,198,647,095,498,821,571,764,866,310,269,242,048,949,
923,626,519,071,392,730,662,029,816,767,381,774,540,980,613,779,356,152,520,
582,733,557,963,614,458,596,638,564,757,303,674,377,254,523,827,799,926,026,
871,628,514,541,105,152,222,539,524,310,610,162,060,875,683,237,172,593,195,
922,594,846,854,632,194,734,489,198,728,026,496,912,149,361,384,323,979,652,
485,293,138,901,671,551,693,309,472,988,054,534,395,872,612,512,083,848,281,
852,722,182,466,688,233,462,221,472,228,418,201,562,843,430,368,738,352,928,
288,382,629,708,905,983,154,488,114,008,110,243,627,342,321,693,554,397,300,
365,861,889,061,895,105,248,229,714,398,717,722,480,400,309,846,051,133,478,
798,831,861,039,125,774,758,050,695,248,208,345,872,568,343,466,072,904,316,
375,684,171,849,682,803,395,158,317,766,044,869,969,176,357,644,804,543,971,
881,023,270,027,536,054,356,526,404,866,983,876,828,571,642,592,848,103,173,
436,744,950,715,036,841,453,375,360,689,551,675,017,699,461,570,175,519,782,
176,751,507,477,573,298,352,928,061,414,929,340,969,463,309,968,924,941,585,
285,080,515,888,801,847,554,713,934,336,384,996,725,251,478,152,880,870,707,
470,814,121,509,061,666,423,027,502,884,438,007,806,827,187,915,843,139,080,
696,654,636,057,405,964,861,160,975,616,181,339,983,663,793,381,837,292,425,
704,520,859,534,980,222,362,731,815,635,283,875,731,958,564,739,526,080,519,
207,808,773,156,334,949,056,206,734,352,050,310,949,302,236,254,488,185,439,
753,912,972,272,606,171,745,703,676,447,012,466,775,517,534,282,666,478,756,
201,957,830,854,248,763,021,376,892,493,618,340,102,442,814,862,430,533,571,
331,646,869,878,011,952,715,729,271,480,107,460,003,114,520,438,759,626,888,
658,332,840,066,104,907,356,543,264,622,167,123,238,257,493,458,238,240,620,
279,848,851,433,434,984,431,398,895,441,797,992,656,916,594,149,913,990,476,
812,964,662,083,299,567,006,537,528,429,141,758,872,810,611,275,614,991,523,
619,862,309,709,170,556,030,675,747,202,747,173,627,685,914,303,094,153,364,
880,562,539,332,670,834,693,001,460,624,179,699,563,339,410,631,445,465,915,
665,987,495,676,420,176,399,010,363,150,936,561,452,290,955,870,117,902,323,
407,962,219,652,169,965,270,100,391,982,900,188,895,575,462,923,849,502,511,
419,743,801,932,296,264,811,946,260,905,783,253,239,952,768,758,027,699,805,
876,582,477,211,103,354,044,237,838,438,364,595,943,726,332,580,166,628,903,
037,089,863,477,871,216,032,601,900,651,425,976,304,560,394,115,642,680,891,
092,421,002,019,619,536,005,213,683,729,846,574,832,788,974,355,035,465,544,
415,440,109,128,736,358,599,834,922,132,382,384,481,970,091,381,871,631,049,
301,157,730,474,632,675,016,058,749,442,311,211,883,265,915,338,462,984,478,
211,114,293,316,556,337,902,877,425,214,486,422,249,656,686,114,082,901,847,
872,541,782,460,963,513,632,097,979,595,082,591,847,056,636,194,422,167,391,
262,826,054,955,265,469,545,027,473,795,193,177,542,259,212,204,831,582,780,
938,323,601,202,437,392,598,338,486,479,839,473,162,127,433,017,770,514,753,
490,224,780,985,929,456,210,537,695,085,004,907,472,678,758,322,267,083,363,
631,307,469,635,115,360,505,139,370,349,357,483,548,610,775,203,747,516,150,
153,892,892,337,858,700,680,904,766,051,935,333,176,297,674,850,175,985,940,
130,821,533,269,725,872,038,433,782,316,216,869,526,848,163,974,949,106,637,
600,298,384,675,525,952,365,318,228,066,277,890,663,530,763,274,535,054,555,
537,826,363,990,959,433,451,447,110,666,560,437,443,493,036,079,863,583,442,
502,387,747,704,654,372,247,376,957,752,618,628,748,038,373,383,059,795,975,
151,628,935,400,260,676,259,145,964,657,162,917,026,916,938,666,043,587,262,
330,803,224,399,955,888,765,833,320,169,139,081,170,439,801,971,984,204,459,
413,669,832,195,444,992,628,642,338,287,112,695,197,563,793,390,635,537,173,
676,795,668,136,264,905,348,159,063,419,554,382,033,645,105,943,558,477,139,
944,472,036,352,734,320,224,337,385,772,338,049,182,264,274,542,985,689,948,
432,558,119,393,308,491,266,745,638,667,049,529,458,659,850,764,500,027,252,
847,228,905,164,671,887,630,303,394,960,577,261,314,669,159,191,763,611,327,
034,767,739,066,741,787,094,865,417,901,170,012,696,862,946,310,290,851,603,
443,223,458,412,578,746,549,464,061,413,055,128,377,901,212,801,365,893,902,
105,971,455,494,992,662,471,796,934,968,776,603,220,305,059,558,126,801,707,
526,243,832,520,463,877,535,334,311,185,813,956,017,588,909,030,788,025,125,
988,519,756,502,301,539,816,299,502,117,960,021,825,724,859,431,870,264,924,
762,273,649,084,408,344,097,554,110,472,302,817,143,364,521,403,113,627,617,
554,461,850,753,385,276,125,339,334,766,498,418,621,644,588,105,184,834,362,
515,382,934,339,308,132,886,938,401,501,635,984,163,926,581,924,444,735,595,
615,787,991,764,635,291,288,648,793,303,104,147,244,543,650,790,528,228,052,
682,719,975,787,251,929,673,967,289,028,564,362,532,761,687,049,472,291,195,
672,864,129,060,744,346,791,891,612,385,320,364,029,116,927,635,619,535,620,
484,502,132,555,910,681,833,954,051,104,255,017,894,512,103,272,388,762,846,
397,116,721,380,991,814,655,298,391,853,885,857,620,344,408,428,352,162,015,
555,636,991,709,647,568,174,499,030,908,088,968,261,388,627,780,680,059,259,
895,702,895,535,278,149,905,727,399,407,587,093,711,647,624,651,728,615,504,
019,047,902,442,392,678,312,700,567,273,297,095,699,014,801,279,929,298,012,
982,546,703,655,077,613,229,780,742,150,119,481,071,784,845,316,384,608,744,
399,740,525,638,333,357,320,191,738,965,507,056,870,080,976,952,907,764,844,
565,314,494,138,765,936,725,551,139,371,057,358,446,924,187,991,496,086,868,
656,941,137,412,065,743,465,281,725,281,761,965,132,846,656,079,872,102,207,
319,948,687,118,298,506,284,349,406,061,261,345,207,107,449,401,791,787,081,
516,127,540,369,492,695,177,768,689,053,859,905,025,777,314,820,863,285,763,
109,305,018,117,289,052,995,720,211,645,419,733,764,697,403,113,892,904,551,
613,804,766,433,553,916,360,786,843,493,741,132,340,434,535,272,029,752,418,
705,293,557,896,119,565,274,702,536,714,239,571,694,149,610,596,438,625,626,
466,160,557,475,016,959,110,882,976,704,869,369,019,988,743,490,640,908,824,
894,437,577,729,532,418,504,699,020,421,768,820,223,799,665,728,913,886,962,
215,762,797,319,257,452,126,248,772,541,804,239,755,257,452,178,789,388,066,
925,843,989,242,673,277,704,845,232,983,568,998,132,575,859,354,609,171,550,
714,853,080,850,732,167,821,388,303,956,181,729,687,803,815,170,431,066,973,
779,556,031,097,138,732,310,578,108,198,300,824,062,898,155,650,087,784,730,
617,573,615,333,549,463,247,904,762,263,152,976,991,393,317,474,283,532,932,
114,231,212,559,271,360,705,539,878,499,102,742,934,561,811,185,097,070,338,
077,021,618,781,022,201,343,003,795,845,326,596,479,471,729,631,126,537,894,
018,100,280,682,877,277,001,711,995,771,512,275,628,738,003,661,772,123,532,
980,956,039,551,275,706,966,445,296,921,605,072,731,332,900,245,124,327,543,
485,677,769,908,336,215,861,425,326,818,533,077,182,040,091,290,400,765,637,
223,119,596,642,482,734,328,631,227,744,805,562,221,806,020,608,490,155,059,
071,234,085,045,560,043,410,798,893,051,011,963,023,593,372,140,604,108,538,
730,792,378,789,164,777,920,919,041,837,838,541,371,128,869,321,001,779,675,
071,305,027,456,662,391,453,637,059,051,537,845,984,664,332,973,463,354,173,
339,842,004,785,709,155,250,289,239,564,580,590,002,861,733,412,657,046,747,
615,015,977,046,449,133,323,861,872,542,077,985,189,067,696,022,171,734,692,
107,959,188,325,260,121,880,137,846,718,192,022,413,225,879,793,046,339,788,
553,331,489,020,055,403,388,906,129,482,770,161,171,130,681,052,068,458,703,
639,209,403,810,293,473,217,373,059,292,625,145,903,488,637,787,741,998,902,
553,977,833,918,997,338,394,361,406,535,071,073,950,232,916,214,602,661,825,
950,104,090,011,563,840,743,426,715,116,487,380,550,269,128,171,742,696,254,
995,575,484,113,040,072,369,564,931,607,829,530,609,410,036,970,316,775,687,
344,495,427,499,230,512,257,518,814,983,659,138,473,354,125,889,768,849,954,
936,211,358,179,255,668,728,434,216,099,256,346,410,144,643,846,699,539,217,
129,878,868,956,697,636,499,044,406,827,414,730,420,638,464,509,024,368,036,
302,032,326,238,989,997,669,310,204,352,490,832,832,938,066,690,131,252,806,
558,462,067,885,174,425,023,386,167,693,461,191,466,689,411,791,224,517,459,
854,048,500,343,628,991,334,568,246,440,270,360,885,645,024,648,806,275,307,
752,144,546,664,289,305,693,794,486,364,208,428,881,807,193,569,711,759,193,
286,832,981,323,975,329,638,377,601,890,517,840,279,855,584,847,153,217,457,
319,159,901,867,988,654,718,923,050,799,248,156,435,767,834,303,189,809,126,
687,555,557,820,135,833,690,732,496,543,017,971,135,292,953,772,854,055,987,
771,152,035,941,300,631,245,590,773,372,762,094,445,459,910,049,172,296,925,
455,439,831,392,974,317,305,272,740,959,199,450,182,589,162,298,783,140,560,
768,384,945,828,616,424,690,222,129,196,823,016,985,210,621,883,190,944,356,
301,491,915,879,807,976,446,171,667,297,349,782,984,188,437,760,225,216,151,
733,568,614,756,344,735,195,110,219,295,531,445,866,592,969,956,147,619,621,
542,459,207,224,944,758,962,230,814,025,535,055,844,370,155,251,251,072,579,
037,338,848,769,664,845,645,676,194,384,676,215,035,710,562,999,231,788,506,
129,584,384,969,116,585,724,313,831,869,859,968,773,580,708,697,322,626,627,
997,092,127,067,526,126,636,773,892,933,323,149,972,508,809,359,278,415,588,
250,701,509,697,265,215,079,043,145,102,717,530,719,712,766,656,665,866,276,
521,757,921,961,180,309,207,504,164,731,948,524,056,327,823,035,341,798,263,
794,034,452,505,611,712,294,116,301,850,406,662,422,537,976,335,286,250,085,
065,358,140,728,527,210,881,812,244,465,004,276,343,554,533,155,176,210,160,
076,564,788,189,803,381,123,349,849,790,655,548,898,450,920,340,054,119,154,
996,638,939,669,297,355,771,098,684,243,403,033,637,821,032,109,427,719,182,
125,574,086,769,566,780,936,023,681,195,959,075,165,644,728,280,537,335,444,
011,494,487,791,123,941,733,198,821,868,278,832,025,920,150,776,353,986,310,
485,505,783,673,559,369,278,296,278,510,789,471,252,343,479,401,431,693,012,
040,011,358,739,504,658,696,373,266,520,256,739,326,947,162,263,828,760,066,
959,073,769,211,119,900,391,095,428,546,843,625,659,307,247,270,715,803,616,
972,600,832,709,949,669,874,671,618,204,022,555,475,459,700,155,556,918,996,
557,275,455,771,782,639,731,662,521,858,676,440,476,925,426,873,047,999,855,
358,889,691,141,283,448,494,667,632,994,617,446,192,795,911,962,777,477,943,
323,292,214,413,220,830,124,957,494,188,528,212,960,429,081,267,231,608,213,
874,432,289,145,617,193,457,326,841,878,965,371,932,901,305,853,898,560,948,
497,638,011,284,022,586,817,212,995,355,421,688,819,993,099,923,225,359,424,
118,616,635,068,155,483,990,167,362,596,301,217,354,567,334,284,629,329,309,
896,555,398,142,449,185,657,461,656,258,239,924,265,066,267,829,896,782,694,
559,737,645,633,342,975,699,168,841,286,341,451,380,714,139,182,585,235,928,
822,468,480,253,898,872,766,198,740,525,928,337,371,754,209,050,862,199,123,
517,136,117,163,549,840,656,587,586,352,129,370,618,008,953,636,348,082,780,
695,348,815,423,742,948,146,433,446,888,535,147,737,417,624,678,462,367,875,
208,840,851,925,697,158,264,909,343,900,835,941,264,396,830,815,317,200,073,
967,733,077,983,666,288,646,272,655,645,120,707,762,849,133,915,209,393,885,
640,014,913,225,553,914,053,264,578,174,828,849,090,518,678,835,407,017,010,
122,173,217,086,601,580,659,015,486,285,284,201,090,414,872,243,121,545,573,
378,197,565,662,391,631,629,527,472,958,689,624,424,787,492,925,796,381,160,
227,593,210,075,391,908,300,782,628,096,428,757,866,678,568,263,149,663,735,
607,726,364,939,932,211,660,385,555,076,280,083,682,225,273,124,431,919,589,
019,628,564,276,037,128,641,543,126,115,332,752,431,780,259,484,231,820,562,
010,808,839,738,973,638,025,246,212,155,231,937,306,104,940,683,119,708,441,
770,046,253,951,751,248,140,301,333,988,149,924,789,728,996,708,156,736,493,
550,943,523,458,890,419,414,606,910,654,959,028,507,342,568,333,851,657,867,
559,838,896,149,401,861,894,322,978,610,725,862,464,109,398,321,670,855,260,
293,008,846,925,541,509,678,000,288,007,190,255,050,891,449,615,920,271,111,
061,067,317,076,310,883,397,068,606,969,412,423,947,845,994,512,163,654,356,
877,015,681,183,705,017,780,889,162,476,234,407,503,523,453,473,448,384,694,
865,335,573,295,316,068,864,649,893,644,192,064,870,590,992,773,551,629,056,
368,123,217,971,033,298,556,030,396,392,844,600,328,053,872,688,328,158,261,
475,394,761,911,036,395,595,375,223,542,609,995,233,841,178,027,387,844,184,
973,894,994,473,769,144,294,310,608,726,072,101,646,119,841,022,137,408,282,
017,702,900,579,867,266,578,538,885,285,865,006,469,259,683,602,667,055,995,
405,053,917,169,390,535,453,641,438,126,507,343,990,937,048,918,661,904,142,
538,016,120,868,240,019,638,086,928,986,448,694,754,758,012,490,588,154,905,
689,799,917,109,967,734,509,311,283,022,720,739,703,393,065,497,943,194,954,
383,709,109,012,889,700,655,855,381,499,271,770,145,190,980,970,117,933,617,
051,018,645,157,785,716,477,234,642,448,241,560,473,730,085,524,420,562,529,
140,751,364,281,091,562,812,830,405,828,601,245,938,451,036,563,384,469,007,
751,313,369,888,166,792,981,418,781,601,366,632,825,691,576,857,639,971,545,
491,227,243,453,691,176,224,257,941,748,802,546,001,520,440,670,676,460,934,
520,522,492,892,713,310,630,660,817,959,443,081,191,530,446,701,924,128,513,
095,306,701,541,514,433,346,675,264,632,441,987,332,488,671,980,940,528,368,
036,087,587,521,286,201,094,862,774,148,341,475,911,942,316,607,416,275,367,
541,108,257,268,110,165,953,340,128,350,753,271,768,814,611,567,926,256,189,
503,496,852,551,432,471,181,445,693,369,299,651,342,816,590,374,358,855,749,
767,186,181,913,180,967,434,334,689,531,906,501,875,299,373,152,648,726,031,
747,720,980,324,361,289,662,169,209,292,763,351,044,427,374,131,270,256,594,
450,715,181,349,166,645,039,055,691,284,125,236,779,895,888,591,289,249,155,
753,608,036,601,686,933,475,067,923,471,520,723,408,937,400,786,234,008,039,
726,082,067,095,698,018,046,951,643,478,711,031,186,387,209,345,829,299,078,
583,172,708,165,931,370,682,551,618,817,297,723,834,514,699,670,695,370,574,
248,112,467,089,507,393,303,062,867,821,746,965,738,464,920,112,408,126,013,
929,881,486,871,979,728,843,921,175,327,532,652,428,880,352,809,210,367,390,
180,099,180,393,041,713,181,872,660,354,952,031,751,899,026,253,722,481,434,
078,146,112,219,287,943,665,911,864,124,572,574,511,157,856,517,318,612,621,
554,566,289,575,398,994,116,473,653,474,557,324,350,572,906,912,650,684,588,
256,887,696,909,352,438,350,921,398,606,018,791,795,722,032,593,480,345,331,
488,650,523,414,559,772,988,753,712,088,861,371,712,428,989,458,260,861,999,
094,897,246,036,730,615,516,228,388,356,075,053,526,656,951,582,576,796,894,
255,257,133,678,132,118,758,675,645,920,276,393,138,360,991,047,523,834,102,
615,415,837,475,401,382,226,121,615,332,711,165,709,479,353,729,809,987,771,
652,985,144,690,101,466,884,162,491,012,887,468,798,102,255,648,045,763,188,
251,574,054,863,625,741,789,206,806,480,695,611,044,403,105,372,246,170,352,
694,872,549,660,059,382,947,922,743,235,609,923,208,830,630,379,356,954,171,
632,355,743,408,436,277,932,710,800,662,680,076,340,744,364,301,883,482,252,
172,391,364,158,453,925,470,789,969,280,208,054,407,126,289,192,750,047,416,
236,603,890,570,366,652,006,134,641,041,265,968,484,914,008,345,581,686,750,
815,171,169,417,417,361,609,707,416,810,238,956,257,529,687,913,815,499,786,
734,928,146,803,535,433,602,796,664,609,656,087,846,865,590,097,993,351,362,
108,441,715,195,695,543,853,808,103,352,949,817,842,133,106,806,589,757,557,
648,643,825,613,422,219,218,235,291,051,131,497,887,746,524,770,499,600,076,
785,323,839,891,945,257,723,995,852,200,396,583,484,073,374,092,140,141,989,
747,649,072,410,112,731,910,242,579,220,948,184,002,980,061,184,869,840,908,
444,488,863,524,677,716,781,145,510,992,845,723,403,737,107,389,171,382,659,
387,249,068,883,267,215,620,001,596,087,667,656,006,637,130,186,420,156,262,
458,885,404,981,288,399,330,666,091,578,784,084,764,546,966,875,467,308,569,
458,361,824,771,628,879,297,229,331,472,036,004,957,879,594,286,482,572,969,
833,465,395,384,779,499,657,599,457,551,729,515,554,300,902,076,474,800,665,
203,133,096,981,184,201,270,151,839,745,904,207,674,743,329,290,419,227,855,
461,628,822,083,362,192,802,521,963,168,328,930,957,280,248,134,948,213,077,
128,315,648,094,445,354,096,432,949,963,124,342,146,948,795,831,193,877,103,
936,795,955,782,227,951,698,799,674,823,922,272,595,247,775,268,896,696,041,
014,463,209,663,551,554,958,933,172,226,957,008,831,768,456,041,857,528,420,
324,289,339,524,054,060,200,791,848,699,367,558,932,800,146,192,530,746,476,
734,995,978,933,911,820,201,080,415,468,168,494,015,462,472,575,846,987,539,
117,484,147,340,427,581,966,488,274,961,652,052,987,816,417,736,698,693,168,
940,947,792,149,788,205,116,735,630,657,823,714,571,498,066,641,986,005,688,
299,612,387,323,868,931,457,809,404,496,346,329,252,490,890,754,957,541,341,
680,836,365,820,975,743,642,513,229,916,264,009,286,674,321,697,719,493,552,
270,558,852,168,342,225,207,367,990,835,964,209,070,525,010,476,177,881,273,
917,375,016,052,763,328,858,679,341,283,112,111,443,697,021,436,269,112,088,
757,126,373,041,765,318,273,821,240,623,883,681,190,695,190,571,323,091,993,
073,461,603,570,603,802,485,253,989,284,822,415,186,083,026,027,137,746,829,
048,972,844,252,950,391,823,811,266,457,900,601,556,055,085,860,856,233,290,
047,615,082,855,725,938,961,060,828,556,331,457,456,259,492,236,592,164,602,
021,093,619,705,172,689,825,859,997,968,707,206,236,016,964,905,809,316,390,
340,628,204,017,163,437,708,339,363,029,137,263,955,582,086,721,916,132,120,
050,707,029,684,826,354,479,608,837,668,537,718,093,439,539,074,259,792,420,
067,483,668,742,405,674,268,702,066,458,659,431,976,843,410,210,563,507,048,
038,104,403,265,624,843,339,782,222,792,041,147,641,559,932,123,066,312,696,
845,530,951,704,770,859,805,961,480,038,068,102,449,273,615,080,822,582,358,
566,403,949,125,532,366,599,645,130,369,545,529,701,106,050,757,803,925,616,
447,972,761,654,856,249,472,513,054,018,649,053,467,011,595,160,120,407,707,
362,161,006,017,656,367,082,368,586,174,363,733,075,660,422,546,269,785,520,
385,703,438,462,436,748,498,282,535,825,894,556,319,540,037,264,098,540,272,
157,345,497,625,550,222,338,789,300,480,412,047,672,073,147,846,597,908,045,
985,084,891,777,993,248,773,917,063,655,834,614,223,917,587,150,293,572,441,
960,712,537,743,856,275,899,953,293,486,643,700,528,962,335,680,678,004,464,
746,064,270,899,922,251,339,225,628,805,665,251,299,322,782,155,271,001,966,
568,967,667,441,115,460,408,559,316,354,472,368,337,888,446,201,814,010,081,
901,859,737,010,712,434,675,622,588,406,996,949,811,376,216,658,642,683,192,
430,029,783,666,978,363,189,672,175,064,093,324,394,617,947,581,314,371,679,
851,542,183,163,450,821,287,875,655,003,407,133,971,107,913,008,646,907,144,
895,867,639,771,233,453,540,697,890,115,237,789,205,633,538,934,137,329,531,
650,170,114,459,725,488,390,639,919,224,904,196,471,457,456,336,038,068,902,
535,634,930,172,990,423,170,194,406,616,057,506,867,265,741,032,889,518,679,
315,147,198,764,038,611,352,971,558,630,157,367,449,942,525,513,258,228,785,
517,186,953,840,714,888,314,431,352,590,119,595,581,883,341,270,362,033,082,
765,437,262,176,683,866,883,529,250,867,249,930,971,366,356,039,969,873,855,
461,096,043,776,801,976,399,617,591,316,826,221,579,674,196,739,418,978,087,
566,976,194,231,584,503,185,248,189,710,795,243,938,400,251,130,505,971,515,
720,603,564,121,970,956,101,565,643,112,212,509,706,800,985,425,043,135,399,
103,133,451,989,146,891,411,960,768,775,967,959,237,402,831,594,640,930,301,
154,936,603,679,570,961,455,992,553,707,328,520,099,558,426,874,832,842,487,
011,367,328,562,163,165,766,519,082,248,172,153,115,679,192,966,138,304,008,
166,704,441,442,957,220,376,348,264,708,683,329,687,509,664,325,426,443,139,
902,836,226,450,608,213,163,106,434,494,010,956,833,182,569,740,091,133,478,
734,992,298,148,936,860,467,922,543,260,400,848,488,582,157,853,936,138,093,
155,238,140,234,510,948,848,857,484,693,684,188,505,996,728,481,018,918,533,
120,678,891,397,041,012,213,654,079,911,170,683,394,262,326,412,734,101,368,
018,011,520,645,630,604,368,314,481,312,134,057,744,290,389,192,091,676,313,
027,388,338,459,226,306,145,684,564,077,565,248,249,072,055,013,943,603,557,
880,320,172,683,391,701,866,607,698,943,207,372,430,848,932,209,287,687,992,
845,676,498,867,220,911,698,467,475,516,311,699,532,369,152,520,623,919,657,
752,199,930,899,605,525,502,335,552,343,364,232,848,276,704,715,347,677,047,
760,339,950,563,898,785,776,585,453,829,737,912,582,909,865,625,477,334,849,
471,154,106,709,874,694,509,550,305,910,869,594,961,858,908,903,353,814,895,
002,553,386,634,275,175,037,685,880,755,254,853,458,909,114,965,409,342,158,
945,461,337,386,367,461,402,523,295,615,419,389,368,985,357,145,361,129,083,
340,881,093,920,798,022,108,288,750,577,506,661,818,697,433,456,137,386,492,
816,087,523,937,184,343,967,596,961,059,170,482,414,590,858,584,934,470,119,
853,492,889,129,193,250,935,446,600,736,154,307,996,808,997,139,049,186,942,
593,344,088,409,424,540,609,517,245,582,988,910,603,404,891,850,931,039,841,
791,072,299,731,827,916,894,604,501,846,097,323,680,028,029,282,408,084,722,
023,497,483,678,298,685,742,376,531,086,292,412,383,155,854,469,510,418,352,
488,739,759,540,414,890,666,596,066,316,406,464,633,934,659,164,372,972,838,
721,996,625,351,557,570,918,406,561,713,056,721,473,993,185,295,031,970,886,
464,638,118,660,690,466,209,089,859,730,241,966,325,247,984,073,806,892,162,
104,577,713,514,965,736,974,232,687,230,778,248,855,294,427,522,454,949,922,
574,687,483,111,308,489,454,473,880,581,087,033,414,354,229,673,937,423,598,
725,241,375,847,052,635,800,703,909,829,585,222,915,718,090,901,628,808,308,
405,036,997,333,887,577,382,818,408,345,446,323,267,052,239,093,944,242,737,
064,491,653,040,604,010,734,191,802,217,996,189,040,456,542,960,208,386,516,
909,403,992,391,072,014,392,326,963,500,244,643,288,985,877,709,943,776,563,
729,675,631,312,485,424,990,412,554,601,169,911,090,991,070,303,814,155,131,
006,526,725,182,908,327,616,941,782,740,423,142,309,985,524,919,802,334,941,
352,372,920,105,164,044,889,538,539,889,661,084,040,618,670,147,952,701,240,
556,369,087,223,778,502,322,919,889,381,691,902,028,249,139,807,930,460,555,
562,687,282,845,015,875,051,504,913,704,089,819,320,362,545,490,030,852,869,
744,713,473,276,764,158,270,671,212,066,570,524,675,667,946,780,053,248,230,
763,205,911,057,292,880,177,723,413,100,848,852,404,886,891,367,350,199,563,
603,400,081,280,967,154,993,495,850,905,474,723,611,162,807,891,503,822,618,
943,327,665,474,204,929,883,294,857,613,333,442,557,878,312,127,269,041,247,
513,123,289,530,682,784,097,548,080,741,379,377,881,890,151,791,262,643,482,
056,473,018,326,932,302,900,632,166,469,070,931,722,720,195,056,124,166,551,
561,869,506,263,130,039,862,814,909,961,406,929,414,412,667,558,706,281,917,
912,785,549,930,385,137,209,733,732,432,906,406,680,545,577,419,073,832,909,
541,817,425,927,514,125,626,903,121,458,466,343,489,369,783,534,664,586,996,
677,488,426,427,727,846,352,601,399,498,703,548,831,186,989,798,865,780,739,
249,962,364,962,313,071,810,586,514,819,054,924,497,729,435,923,864,147,087,
154,533,679,422,442,491,661,453,045,278,745,713,198,018,993,431,876,153,220,
756,948,278,606,492,824,650,885,668,671,276,299,718,228,709,766,000,571,787,
910,235,737,422,976,991,275,773,191,541,019,239,952,396,939,173,032,330,355,
635,080,909,737,377,696,843,744,979,956,612,732,518,716,843,489,729,009,318,
013,641,659,797,986,613,585,197,210,079,818,973,611,548,041,248,871,665,969,
979,068,835,113,035,750,225,563,655,390,366,476,853,561,470,389,802,212,568,
210,665,734,787,521,094,034,052,696,961,473,312,567,334,508,287,311,607,846,
304,755,398,709,964,961,707,912,786,664,431,906,328,736,614,018,131,164,931,
147,895,108,764,154,052,670,793,053,834,083,956,765,910,742,340,036,660,959,
286,950,276,192,363,293,353,641,247,813,798,475,481,086,122,909,358,839,846,
529,334,879,620,043,667,074,270,794,408,604,422,593,383,839,797,350,053,993,
339,492,478,189,128,901,892,283,194,064,067,415,655,085,631,208,780,623,482,
786,335,098,846,015,153,884,278,909,415,025,390,414,580,544,835,934,003,589,
922,294,819,158,319,570,470,076,963,717,906,045,985,600,706,472,690,223,322,
870,017,926,920,748,434,360,239,821,237,233,289,154,332,670,114,478,053,297,
934,408,073,355,849,690,963,398,908,041,966,205,344,064,381,085,487,448,319,
110,913,417,269,975,198,617,499,819,700,281,785,817,803,995,252,121,662,804,
577,256,443,409,997,631,864,689,336,425,978,351,974,120,949,522,799,854,840,
136,716,334,615,352,114,392,884,415,871,229,120,382,046,205,827,871,933,835,
937,974,134,317,422,207,019,486,908,012,496,429,367,706,296,756,153,877,756,
786,434,767,307,604,742,537,409,284,732,530,032,291,674,667,780,008,235,801,
288,789,220,061,952,739,461,333,544,229,172,182,806,189,365,053,431,374,751,
736,331,712,803,580,142,056,587,810,844,392,609,137,686,453,675,593,198,261,
112,395,157,757,755,615,456,190,125,201,617,920,378,398,388,373,931,482,837,
416,840,600,431,785,574,787,273,215,826,431,983,522,936,402,455,755,698,597,
082,459,802,130,756,337,710,798,923,844,911,254,717,487,369,789,287,415,853,
122,552,506,176,362,333,801,614,973,065,298,281,709,885,590,840,888,915,352,
471,045,887,667,318,383,617,475,695,721,913,421,881,617,292,797,567,302,421,
747,707,084,579,848,641,919,622,018,931,863,577,453,717,606,303,611,504,343,
451,387,875,028,048,436,196,128,878,573,888,719,463,776,103,583,185,288,093,
744,795,155,961,921,523,131,293,561,114,706,114,956,616,667,533,714,789,657,
424,305,662,701,050,509,555,863,395,843,216,994,290,101,373,912,447,412,816,
439,838,961,552,926,906,361,280,680,610,986,230,489,770,347,377,497,417,657,
114,288,943,466,685,630,259,246,616,063,203,096,489,113,850,795,727,250,716,
928,545,043,442,677,979,633,220,331,089,373,016,745,023,848,673,936,498,706,
450,684,127,428,853,363,264,834,253,472,697,712,424,035,161,120,877,509,096,
120,430,013,124,816,580,814,422,749,636,405,189,067,914,338,658,006,671,011,
776,995,270,819,193,950,010,090,926,561,299,035,581,373,328,757,203,537,473,
140,054,248,871,662,620,890,096,565,351,801,032,034,634,534,145,529,918,710,
881,834,641,389,915,735,284,033,662,839,625,127,651,072,265,241,797,926,496,
066,420,922,120,622,035,181,690,856,391,558,834,189,898,560,700,384,515,732,
430,119,220,259,038,409,725,188,870,322,656,402,410,923,889,541,484,102,050,
855,237,018,060,806,869,629,792,725,864,450,661,531,832,330,091,238,346,101,
989,481,664,061,049,567,842,827,726,660,402,139,172,955,254,285,752,962,858,
138,326,074,764,590,126,267,635,328,605,765,815,011,549,950,095,328,416,131,
848,913,015,101,305,478,400,645,682,934,919,495,390,065,427,751,099,380,116,
395,663,949,477,834,970,840,375,605,740,625,805,640,137,681,773,990,146,324,
160,506,623,873,267,091,536,418,510,785,688,331,485,686,535,743,117,000,309,
764,970,896,506,048,646,756,170,953,208,785,066,504,989,300,171,054,528,360,
197,414,237,482,445,978,706,140,545,943,547,042,395,830,282,015,450,724,555,
815,564,325,297,920,315,545,087,057,561,533,438,876,370,258,584,247,381,206,
638,838,544,368,971,612,556,043,621,477,539,783,244,794,821,728,117,218,002,
895,242,969,071,014,636,791,302,675,463,079,474,066,644,919,813,352,781,567,
577,475,114,253,208,064,534,414,855,619,182,838,577,326,048,732,777,086,822,
420,263,714,534,593,904,363,747,087,324,805,649,380,778,004,279,665,444,812,
010,881,636,518,533,115,874,503,032,059,962,832,570,275,988,561,552,523,239,
560,923,547,751,838,586,116,563,185,997,639,388,921,393,913,141,586,385,628,
557,016,968,456,304,311,495,598,123,234,769,243,149,579,588,655,204,814,809,
462,974,045,519,503,532,224,019,661,306,383,068,151,223,750,366,108,644,312,
137,760,809,923,792,252,106,214,897,581,747,068,187,047,541,512,421,700,682,
987,060,389,091,967,890,485,077,322,468,430,558,206,573,798,422,325,544,588,
766,710,821,241,357,998,273,916,453,166,637,100,676,425,319,281,293,145,699,
143,676,753,289,518,837,325,233,442,080,462,716,227,962,435,593,114,417,074,
353,537,666,326,872,854,658,927,218,827,336,489,086,411,729,996,070,204,479,
340,309,767,331,572,179,599,166,205,342,577,003,063,127,089,852,451,122,766,
544,321,675,062,448,999,227,383,611,111,157,144,766,477,954,311,086,950,208,
571,822,982,029,913,959,242,473,677,547,207,486,356,707,958,278,877,920,222,
793,314,593,148,001,991,467,619,651,434,950,476,996,494,189,502,605,195,872,
883,495,016,268,379,393,048,185,324,590,592,670,724,961,235,047,634,957,960,
036,957,500,770,177,773,771,417,543,281,895,744,707,843,354,524,320,722,162,
804,296,906,920,172,249,922,039,554,908,571,696,525,487,025,208,853,106,221,
702,896,137,232,769,710,753,276,386,372,235,436,192,850,257,109,593,867,691,
059,992,981,360,975,897,067,565,971,411,749,077,651,529,890,103,205,215,467,
229,526,769,745,824,895,801,437,566,748,065,154,590,663,406,530,915,622,650,
350,215,398,017,668,080,900,685,987,054,754,391,802,095,143,117,598,786,790,
959,750,550,178,158,200,042,333,623,670,777,407,907,428,968,655,563,737,609,
798,870,426,319,976,539,369,392,225,827,185,373,280,656,877,719,599,896,217,
791,823,716,482,973,649,001,051,060,230,528,505,151,433,467,885,977,511,878,
001,727,726,655,877,504,249,547,061,191,452,657,746,998,065,316,132,026,070,
884,900,429,610,791,387,577,208,229,853,689,506,854,273,550,169,390,982,416,
905,002,394,070,374,390,141,365,603,347,657,359,548,734,129,130,957,555,880,
993,718,955,239,289,240,859,323,328,755,540,938,508,077,957,247,887,537,990,
606,717,836,121,189,477,647,485,898,399,425,443,850,911,895,365,514,116,024,
013,434,639,405,060,866,035,350,814,826,608,719,410,109,176,207,599,825,478,
712,204,063,698,783,430,474,798,097,008,792,503,732,583,366,459,336,078,763,
661,662,448,285,091,033,375,629,355,144,602,981,128,239,261,261,882,046,234,
483,267,517,975,256,207,478,217,860,068,766,437,564,180,296,652,322,839,039,
997,695,879,937,845,480,899,269,490,051,885,780,313,994,583,570,652,985,490,
655,344,903,391,465,835,808,730,369,537,763,835,496,054,338,301,927,240,605,
884,274,030,468,220,808,680,956,042,443,335,611,549,832,442,687,962,620,583,
167,501,621,649,772,296,342,045,098,534,680,674,402,023,398,274,875,238,462,
334,935,965,716,433,852,670,684,194,344,366,155,798,429,902,080,830,973,309,
447,695,988,564,604,419,211,694,213,163,015,189,882,401,649,690,683,570,933,
244,082,612,477,577,661,638,281,549,453,203,189,658,813,057,531,475,542,434,
950,368,486,446,117,458,377,693,086,900,283,612,209,551,204,951,863,303,647,
887,174,389,582,108,807,310,343,204,070,996,203,270,740,833,805,462,502,948,
959,647,203,418,772,247,298,331,933,830,722,748,952,636,591,866,544,983,087,
470,122,847,906,658,320,446,227,946,982,724,972,151,251,257,700,250,842,072,
934,325,585,805,015,692,970,602,363,915,917,170,039,489,341,735,859,196,001,
174,524,898,082,598,694,725,079,440,125,255,358,325,522,617,300,163,820,791,
303,230,807,446,304,238,829,377,465,096,817,812,436,314,464,038,224,837,310,
872,977,770,979,011,759,874,666,898,595,871,516,661,973,090,871,965,249,714,
676,929,703,741,204,051,482,280,241,910,965,924,917,627,697,416,448,850,788,
865,007,329,878,773,606,712,939,260,428,331,736,779,441,023,309,273,793,239,
837,513,392,473,185,096,952,265,238,992,486,779,384,933,107,122,571,874,477,
611,359,713,136,615,324,631,426,361,337,167,122,517,147,297,411,234,705,713,
688,080,880,266,177,029,735,759,101,500,475,855,983,058,303,367,107,545,684,
293,441,513,238,422,903,798,958,568,260,342,317,894,781,742,202,188,568,374,
192,474,857,787,119,294,844,015,875,413,408,453,292,135,745,655,713,029,210,
164,699,289,601,739,560,553,174,968,368,003,259,594,180,266,873,524,697,147,
045,656,656,755,397,439,447,834,530,109,995,887,596,746,809,669,273,909,666,
058,510,193,140,088,363,251,144,598,630,220,854,370,914,753,722,932,606,018,
788,779,700,548,998,511,626,194,208,267,048,968,498,646,762,965,705,672,565,
860,504,869,302,335,669,367,316,939,153,227,776,256,509,021,373,803,941,718,
071,777,810,680,008,317,701,442,208,913,109,139,065,713,258,678,243,932,446,
719,095,484,721,810,163,332,469,854,362,844,159,529,175,939,752,530,590,967,
766,185,920,830,735,225,949,969,615,863,741,506,483,047,374,055,718,244,853,
039,113,501,585,157,764,914,971,749,808,055,552,563,393,084,840,913,418,109,
034,815,039,971,107,437,599,906,796,420,782,360,050,456,663,693,998,534,022,
072,063,465,660,622,613,680,996,703,912,407,996,958,321,587,171,489,312,907,
653,154,246,877,136,350,242,920,337,598,041,130,326,333,664,117,004,690,727,
571,758,018,649,039,096,785,083,238,874,325,716,832,676,499,215,233,562,302,
002,028,843,659,096,404,016,598,842,753,288,855,202,805,861,789,473,412,303,
064,899,786,218,864,077,472,567,779,808,461,702,303,520,907,936,650,164,783,
283,758,120,712,689,409,464,501,464,891,668,542,235,136,565,785,066,887,035,
857,013,314,580,504,130,747,850,482,483,536,696,427,314,893,510,478,218,389,
671,120,381,609,932,806,352,281,779,481,487,246,557,181,023,119,686,696,222,
575,187,189,177,238,436,561,496,494,738,144,832,844,939,902,867,325,389,382,
627,813,790,404,944,297,510,567,723,501,477,193,713,209,112,356,171,820,481,
360,018,541,333,891,837,713,306,807,184,280,367,514,531,603,247,291,932,292,
907,213,105,299,411,768,350,031,921,566,440,176,854,760,510,708,915,614,082,
332,810,096,554,973,335,457,720,857,706,802,471,331,916,691,379,817,798,768,
464,449,728,342,893,282,311,651,671,739,535,029,783,239,596,486,783,915,886,
518,283,730,695,617,734,398,628,066,567,868,045,861,589,150,955,840,159,628,
868,131,435,705,254,867,153,633,484,855,453,885,649,244,801,318,053,320,686,
521,019,610,756,311,226,033,633,868,148,502,185,084,615,961,790,178,016,078,
502,827,832,330,310,701,636,593,257,280,111,832,694,891,239,551,461,282,676,
648,780,632,180,023,159,222,831,970,234,464,818,945,641,203,946,359,626,605,
660,167,392,257,329,597,715,695,750,719,682,644,751,539,862,786,308,467,458,
787,317,011,413,109,871,693,755,383,000,854,200,966,707,198,301,013,743,107,
334,482,155,756,470,762,002,092,415,395,025,167,995,584,051,798,408,553,216,
014,642,799,029,348,873,593,310,576,395,066,764,990,220,448,784,864,408,404,
337,480,853,840,666,076,664,390,684,469,554,852,652,009,746,366,543,176,325,
353,298,025,137,955,658,180,255,112,228,867,419,750,638,024,132,244,252,915,
726,480,786,218,851,079,450,130,152,388,482,849,221,201,724,010,060,350,537,
948,500,141,021,354,701,653,029,292,838,984,800,997,574,510,579,215,525,165,
874,729,437,211,561,315,411,519,426,823,281,875,095,430,107,609,176,850,672,
348,239,851,571,745,542,158,266,096,714,531,086,664,279,220,275,988,072,641,
482,677,360,727,719,916,573,555,814,226,808,209,790,105,310,605,937,788,596,
740,175,004,945,636,608,199,060,680,325,212,732,938,428,886,479,239,381,575,
440,880,728,135,930,936,726,832,939,687,684,263,628,364,671,404,831,829,522,
012,418,770,604,859,456,899,713,786,366,363,158,305,166,954,159,157,653,002,
390,446,906,188,197,231,747,950,744,792,959,161,943,787,769,386,405,285,402,
164,591,515,526,339,534,207,022,852,529,072,778,063,734,119,126,719,070,704,
962,981,119,728,128,234,138,360,129,464,872,815,640,945,902,431,717,984,490,
413,790,487,111,355,846,499,313,448,473,632,886,448,415,492,967,990,849,989,
351,861,620,259,928,824,360,646,136,935,261,872,606,360,268,343,958,770,376,
882,781,029,114,357,643,893,328,087,551,269,724,938,888,484,449,456,440,964,
908,694,643,986,036,287,167,811,773,039,364,405,094,328,316,178,667,316,256,
976,422,553,826,798,754,146,421,310,046,241,375,935,890,224,468,932,308,951,
496,248,982,739,648,405,752,559,988,971,578,372,035,999,744,017,198,901,028,
179,139,360,563,930,673,300,074,233,657,017,771,527,770,140,395,021,733,152,
970,384,567,826,789,429,091,192,799,442,842,430,577,902,160,297,430,238,459,
776,027,312,848,451,779,345,922,463,810,111,123,758,455,080,013,167,082,318,
798,819,397,686,752,439,036,333,536,650,412,561,595,688,142,765,759,466,432,
315,474,001,328,815,417,832,555,806,536,893,761,124,173,987,418,704,936,913,
794,302,339,535,155,141,137,705,958,208,274,794,346,982,224,451,280,413,696,
681,564,464,584,280,002,975,883,298,110,780,131,342,372,465,120,224,290,270,
830,975,042,892,505,149,930,003,466,928,419,357,789,078,976,763,869,735,363,
778,641,222,542,960,377,377,458,726,771,172,431,348,518,267,243,727,834,011,
272,470,600,167,347,810,076,828,996,115,011,494,213,638,636,770,089,027,167,
957,698,236,340,341,349,384,600,455,619,834,299,463,046,119,823,243,407,403,
326,143,317,091,543,337,881,003,580,169,998,305,056,098,839,996,729,595,236,
889,381,679,958,364,153,568,109,278,840,751,884,949,455,496,385,169,768,524,
419,276,636,285,684,400,561,039,416,669,591,939,819,631,441,429,714,149,691,
310,938,179,028,802,177,328,297,769,887,446,475,603,322,391,715,732,854,237,
394,811,483,703,198,599,112,113,582,725,156,385,721,930,942,600,522,013,099,
489,901,578,280,926,246,476,205,137,161,133,616,152,517,084,261,986,919,953,
780,302,138,435,158,466,570,940,448,397,792,166,954,827,333,332,091,019,661,
400,311,463,487,898,701,550,826,369,027,838,735,055,880,063,905,045,053,229,
607,698,973,302,309,274,224,952,778,729,748,156,231,807,008,105,136,850,928,
674,345,268,938,037,223,326,113,559,926,044,167,863,662,730,103,482,094,594,
793,149,458,641,644,235,085,604,148,868,733,501,279,424,985,899,080,604,732,
930,736,414,277,335,583,590,746,715,050,951,163,269,589,982,447,174,538,904,
173,938,340,058,101,123,287,185,897,378,054,181,644,365,556,466,637,779,105,
267,124,017,031,536,212,590,164,417,760,059,901,914,012,350,919,786,507,554,
292,572,553,167,169,698,048,703,106,502,642,451,323,226,720,381,809,791,527,
799,151,167,697,114,133,653,244,429,965,659,630,197,805,624,878,007,025,389,
275,342,099,749,449,956,420,633,457,146,442,549,145,025,523,566,955,074,654,
392,825,413,899,009,355,521,725,460,600,143,592,354,182,906,617,071,256,503,
788,160,415,897,279,153,851,021,277,532,661,260,839,673,642,937,190,558,923,
815,242,074,194,399,326,445,401,140,821,735,221,519,545,765,933,530,982,542,
159,497,678,956,395,815,879,211,854,483,442,577,663,982,883,709,326,034,247,
371,097,611,186,426,614,663,727,460,178,702,138,617,792,570,955,267,639,472,
745,116,247,791,690,883,124,924,754,847,241,928,709,366,581,313,677,371,741,
447,208,056,739,564,392,292,881,631,030,183,722,800,698,997,127,848,907,088,
396,496,667,685,215,845,235,730,182,334,406,499,397,845,826,772,822,016,204,
542,701,657,702,701,523,376,725,290,506,549,929,366,487,392,316,066,921,825,
207,118,224,972,958,247,329,011,999,822,870,361,222,095,168,919,073,816,312,
286,512,555,432,867,426,659,738,079,883,983,627,300,620,418,490,480,049,027,
336,843,140,658,463,293,341,394,623,601,135,511,818,338,138,324,769,956,941,
090,387,145,871,997,308,477,474,547,085,011,381,923,081,312,436,979,023,196,
080,586,684,323,802,964,445,693,824,669,223,764,471,852,738,141,176,932,706,
274,575,332,060,882,722,243,317,133,287,698,351,257,725,194,449,799,797,606,
052,942,536,685,620,851,761,733,272,364,072,369,009,607,446,779,535,870,702,
032,796,951,189,696,183,997,330,358,817,990,958,256,362,227,423,644,428,626,
693,749,539,934,440,361,907,173,061,870,789,380,930,714,740,141,987,557,929,
245,727,951,779,542,082,551,365,083,090,767,851,485,961,640,569,105,827,214,
755,660,128,223,757,290,388,429,032,945,945,533,589,033,647,726,494,386,079,
874,782,180,386,878,680,739,093,764,424,686,069,986,424,582,804,006,701,413,
137,872,861,415,664,654,995,949,735,392,495,108,528,535,604,888,894,906,548,
086,373,092,409,625,664,318,994,811,861,930,449,007,130,454,678,418,394,203,
835,414,843,301,574,978,470,768,236,626,318,472,162,613,282,821,813,229,495,
300,236,783,939,090,384,544,409,352,689,848,946,779,055,548,216,753,582,455,
612,954,924,923,166,629,543,788,554,212,477,575,076,875,004,408,375,441,368,
402,433,288,227,859,964,440,966,100,718,444,989,465,352,069,829,037,957,309,
874,793,447,989,963,046,039,870,273,844,697,043,883,303,958,306,997,376,686,
035,693,640,526,835,679,599,445,019,182,243,033,999,615,724,634,764,831,486,
949,597,199,449,611,373,165,214,303,446,457,729,393,629,973,901,009,004,767,
967,864,523,206,080,490,868,814,794,594,631,403,731,909,284,036,135,308,634,
753,632,677,811,141,882,791,563,605,796,200,707,977,658,808,663,602,248,659,
351,502,983,702,025,384,954,232,075,633,375,810,530,212,822,398,098,026,283,
195,708,516,309,597,181,746,404,153,300,537,609,239,137,979,029,620,042,042,
862,262,759,240,301,164,717,888,269,609,107,276,685,420,144,082,234,897,054,
698,047,116,051,321,821,410,350,445,631,680,139,522,498,424,801,379,648,369,
164,403,153,005,778,645,088,550,354,847,339,585,205,847,203,243,036,284,616,
142,753,563,451,306,755,521,020,007,651,671,027,122,783,953,431,428,662,545,
358,768,422,214,741,843,869,848,509,458,836,956,815,565,472,676,631,747,046,
908,555,289,067,750,651,784,892,563,409,497,277,827,208,173,822,522,749,036,
060,804,344,419,931,944,833,984,258,563,685,810,281,304,264,277,662,089,236,
239,425,828,394,486,575,060,116,514,356,937,812,337,382,455,263,351,072,531,
676,632,352,387,721,902,012,466,038,248,897,323,879,142,729,542,292,410,112,
949,663,811,717,119,699,900,475,486,030,439,731,318,648,772,182,183,422,207,
315,239,876,854,956,298,227,271,032,266,319,490,492,398,089,335,495,765,654,
470,824,420,141,299,234,661,897,089,635,505,290,557,394,640,500,230,536,158,
022,707,884,763,941,275,435,998,781,659,702,748,364,894,442,940,015,506,045,
568,425,470,219,061,727,208,915,335,953,832,535,913,642,296,110,729,082,452,
764,219,773,227,765,600,582,230,662,999,618,646,308,331,422,117,679,338,853,
960,872,413,307,054,230,432,090,696,561,412,622,521,875,690,153,481,102,029,
184,098,067,640,732,300,821,719,275,807,130,474,677,476,466,610,128,579,762,
744,177,182,683,718,581,538,073,652,614,674,293,185,735,992,047,029,698,959,
956,296,273,903,573,600,939,175,466,358,847,152,131,608,286,075,094,599,309,
393,591,907,054,342,481,337,415,295,454,072,842,546,964,750,055,702,879,053,
748,132,391,242,856,459,759,426,699,642,259,955,447,654,732,877,611,835,348,
411,599,261,820,881,708,545,854,969,210,785,365,276,740,071,535,676,680,066,
279,159,220,474,350,893,051,785,129,372,389,172,938,575,324,163,842,731,324,
974,435,577,441,268,735,717,738,849,506,808,107,883,313,376,414,884,424,825,
354,779,378,952,197,545,848,019,132,336,703,611,929,596,722,481,324,582,259,
132,463,042,227,547,971,165,420,490,344,212,497,888,712,101,731,442,078,807,
737,972,394,440,395,992,858,893,585,873,604,254,720,781,124,481,114,975,115,
813,363,165,195,897,905,015,152,239,536,799,172,474,051,032,314,703,569,156,
438,057,151,915,760,205,459,785,313,590,393,815,379,762,204,655,949,731,951,
845,600,717,872,650,978,444,144,525,764,572,819,745,980,794,625,349,876,589,
317,183,198,291,842,493,800,193,618,423,100,819,901,669,376,672,288,403,099,
089,350,198,183,716,385,254,518,524,489,087,500,636,426,644,866,907,404,100,
178,636,926,196,185,473,098,051,399,614,034,793,631,870,795,370,204,768,635,
806,936,248,880,535,172,806,003,799,830,596,623,700,171,428,103,017,244,675,
971,203,866,979,500,471,865,045,271,010,782,184,327,765,470,096,841,889,580,
926,321,464,266,280,542,909,756,964,503,762,707,444,546,636,212,611,812,289,
133,616,429,679,037,790,037,320,196,536,402,183,453,697,884,787,006,216,758,
897,444,267,080,750,536,834,811,458,330,790,850,861,776,337,240,013,057,777,
478,550,086,788,266,357,366,808,774,281,181,723,669,248,862,490,985,038,610,
742,338,665,159,975,904,813,305,030,694,507,169,171,776,492,141,047,490,113,
030,676,400,708,542,198,758,733,910,467,362,042,218,702,508,451,004,265,391,
701,897,433,198,688,243,573,937,542,540,105,464,641,306,717,234,429,555,170,
901,111,950,035,630,115,202,484,107,141,886,472,901,942,400,988,462,155,687,
850,307,383,919,528,363,440,223,897,035,779,091,078,511,016,447,667,401,382,
367,479,081,534,233,043,937,374,814,471,142,414,031,135,176,690,144,858,410,
030,573,327,520,287,575,071,010,386,985,248,733,463,324,412,893,355,711,182,
291,034,044,205,389,573,419,904,406,940,361,186,307,306,579,239,688,121,475,
448,427,258,037,110,793,521,595,828,878,670,566,675,179,359,967,451,219,336,
616,087,876,382,847,361,775,598,231,220,860,509,655,004,090,914,976,106,878,
861,103,453,061,365,804,971,311,893,701,732,772,622,289,383,254,601,001,758,
597,861,116,644,807,068,515,000,609,384,643,820,846,337,904,181,212,170,481,
705,670,916,335,389,383,623,886,307,516,389,177,607,256,604,194,585,270,645,
904,392,621,226,965,872,589,615,620,018,709,549,889,639,416,691,888,918,899,
753,031,202,144,181,188,843,939,845,570,484,370,466,646,725,415,770,414,780,
261,981,896,315,119,829,878,612,610,715,303,829,239,172,576,554,087,496,656,
812,061,271,306,520,796,282,938,157,426,226,953,707,905,448,358,647,742,881,
461,195,062,737,951,800,976,248,324,960,865,127,852,634,861,947,391,439,912,
578,796,327,087,544,239,060,958,780,154,979,848,962,035,451,415,306,735,011,
594,749,374,355,890,114,989,632,516,709,307,952,173,926,725,302,687,074,363,
398,575,637,412,626,674,007,666,026,317,578,157,360,734,831,287,252,551,468,
059,760,716,101,956,909,057,930,870,451,081,406,055,292,064,875,209,798,060,
436,952,582,751,162,365,756,088,163,053,169,516,733,493,631,676,815,589,860,
258,725,608,421,922,383,252,387,210,795,054,188,760,044,672,717,212,556,722,
492,797,302,041,484,363,334,058,388,870,194,385,993,528,636,594,405,993,341,
100,236,360,649,427,838,752,720,629,673,289,424,699,590,910,374,019,776,516,
800,736,522,723,191,558,886,189,664,198,939,907,853,483,875,429,745,908,325,
624,122,974,815,258,334,788,133,405,946,637,713,248,318,340,597,505,904,686,
884,383,157,369,902,407,423,149,599,419,321,459,288,376,305,723,521,413,330,
199,829,945,634,287,693,769,195,569,745,834,419,853,223,375,986,101,933,361,
818,171,502,294,947,250,949,644,043,297,492,480,081,957,362,139,635,469,270,
984,545,346,831,630,312,321,209,067,153,572,097,732,834,750,416,501,002,384,
900,287,958,919,545,484,491,028,828,287,591,429,226,627,939,204,935,795,353,
446,131,983,947,361,362,044,298,879,140,051,324,765,535,321,155,408,422,411,
986,181,932,103,956,141,367,550,897,455,725,152,378,135,000,434,053,622,372,
655,320,358,299,191,810,908,246,540,970,509,171,396,379,002,001,915,677,728,
633,982,069,293,758,948,416,756,243,778,005,302,103,502,693,259,261,212,997,
784,015,150,076,726,202,858,578,920,045,353,289,579,534,310,990,715,268,033,
951,151,614,386,371,110,044,923,590,012,598,379,728,632,765,818,657,449,546,
831,484,798,268,805,609,065,782,586,950,418,308,238,058,697,129,184,260,363,
636,174,909,834,950,856,171,275,195,707,682,690,222,815,193,218,864,315,978,
033,564,757,926,709,564,670,569,546,223,422,580,020,848,712,458,035,603,574,
387,000,489,658,593,429,994,838,493,683,348,073,216,426,763,364,470,707,956,
211,957,375,634,020,170,353,202,031,451,027,298,683,121,008,589,032,318,673,
854,608,221,032,022,160,624,311,000,626,272,363,452,272,080,521,205,522,286,
991,628,639,506,125,420,803,933,154,592,555,724,059,525,958,991,442,325,088,
782,547,925,485,900,580,423,945,740,935,020,150,708,841,731,689,984,724,494,
801,319,073,909,469,233,619,543,358,486,165,947,050,202,200,727,908,701,645,
207,121,531,850,827,666,141,558,047,358,724,314,717,003,414,806,657,049,217,
581,960,830,995,212,074,654,538,798,458,914,949,688,772,956,591,889,924,421,
715,088,912,416,077,220,346,535,225,931,247,007,400,481,925,259,387,847,361,
769,571,486,812,542,442,667,144,268,028,878,669,456,893,217,458,236,924,334,
824,616,499,775,609,813,524,850,531,052,889,631,768,446,868,391,801,548,684,
821,445,052,842,121,204,312,697,592,419,387,473,734,935,017,585,899,280,042,
359,939,156,409,769,120,420,795,320,184,570,524,689,794,747,973,136,486,691,
028,059,873,308,590,919,600,609,844,227,739,527,599,001,434,050,854,028,496,
696,034,948,909,494,647,654,443,866,181,928,798,548,507,304,706,178,674,774,
059,604,295,948,336,592,252,457,795,208,026,362,277,797,032,564,077,452,040,
960,652,021,069,586,745,771,266,936,099,741,556,860,426,765,412,298,629,055,
210,611,787,590,843,692,367,057,769,960,296,971,384,264,631,057,639,064,980,
693,369,644,034,312,918,314,573,642,943,540,399,014,931,754,838,092,291,893,
573,163,795,522,158,318,974,579,460,734,525,486,589,557,208,636,183,439,882,
370,496,171,909,575,913,482,834,656,971,583,388,848,847,023,563,631,092,662,
015,130,901,536,228,023,680,934,364,137,812,797,586,335,333,967,720,090,994,
352,827,428,649,640,398,050,493,557,761,136,447,493,410,412,471,872,873,137,
667,400,747,993,765,692,971,231,638,173,058,030,472,794,165,652,347,591,068,
043,692,053,460,396,678,534,246,418,589,355,705,367,897,250,212,864,577,621,
626,861,698,723,732,076,534,163,137,796,634,627,784,907,256,540,128,378,666,
983,883,658,667,767,373,405,859,185,842,786,552,132,866,183,808,157,398,395,
897,335,078,949,620,649,959,778,346,751,441,784,977,613,948,247,276,217,876,
492,249,855,163,430,753,095,403,497,484,241,792,403,309,332,617,246,636,020,
738,361,832,962,786,246,938,934,649,711,106,803,544,489,469,572,995,383,318,
222,993,765,812,572,452,249,328,093,097,695,477,676,273,296,182,008,049,158,
242,894,279,371,904,444,051,491,026,004,422,142,893,173,365,076,162,664,360,
330,527,579,287,605,953,093,506,449,023,326,719,189,080,654,153,431,186,061,
512,822,684,886,750,663,231,683,874,889,213,252,553,970,141,130,504,666,760,
278,832,496,750,875,756,537,645,754,771,655,277,900,338,848,637,015,503,434,
050,357,413,904,032,314,193,121,480,643,952,944,805,025,954,965,607,552,376,
029,674,195,105,426,351,395,415,082,195,039,750,896,438,497,487,687,634,021,
352,855,389,825,437,070,170,506,997,684,368,656,074,138,350,610,957,036,349,
498,487,350,388,630,450,301,754,595,679,574,241,522,630,386,780,132,898,540,
792,178,026,901,366,302,686,998,638,299,966,181,498,156,906,204,553,481,923,
225,128,976,007,133,626,053,991,240,794,812,731,151,502,621,394,292,874,275,
802,373,262,136,976,756,912,019,906,550,011,004,982,200,614,163,336,217,044,
067,873,484,986,266,768,196,457,188,908,839,515,179,804,294,438,595,564,038,
642,884,520,345,155,736,156,222,924,855,561,483,818,576,580,103,268,815,958,
442,648,265,927,618,598,465,641,649,087,019,068,082,698,073,074,872,771,679,
972,587,147,901,438,855,621,461,496,698,711,774,184,271,846,532,065,149,888,
283,513,186,382,794,773,073,356,299,729,405,385,974,612,999,796,573,440,071,
819,439,642,658,824,905,810,876,052,772,771,194,109,452,620,205,653,811,235,
216,936,678,965,790,925,124,818,573,090,129,452,835,379,576,438,481,575,681,
705,044,203,735,627,773,218,089,095,978,046,612,247,180,178,795,862,481,842,
786,800,406,632,064,191,982,196,133,494,578,191,748,926,534,523,257,217,056,
428,298,834,494,887,264,144,186,250,261,377,713,019,083,050,624,347,511,712,
534,426,072,567,557,191,973,423,373,520,220,786,322,071,295,486,838,882,523,
450,354,467,021,921,573,578,510,494,527,140,857,386,901,768,887,805,912,797,
560,326,661,851,545,097,967,479,697,255,179,491,347,297,255,628,699,160,719,
919,665,263,842,193,366,178,776,322,657,195,223,816,996,623,464,631,173,989,
587,677,847,702,641,408,540,604,848,342,975,623,712,344,639,003,725,416,011,
728,146,700,242,397,339,242,555,009,199,778,775,289,201,320,543,406,847,194,
335,385,625,449,517,715,997,738,894,917,710,575,118,325,139,594,714,231,404,
413,141,855,466,237,767,498,894,523,464,893,264,919,424,484,538,571,062,594,
650,249,839,722,033,588,598,459,427,051,905,747,300,026,692,321,342,666,229,
649,396,463,184,151,404,147,383,709,332,454,085,093,895,400,745,851,905,584,
572,186,047,625,373,095,348,685,353,536,601,100,347,894,023,812,687,133,535,
329,608,459,495,800,333,495,873,486,143,807,305,986,886,574,362,828,536,384,
052,025,881,834,414,086,241,725,528,101,613,077,967,307,722,569,344,824,257,
492,100,829,441,756,801,851,745,526,067,924,442,846,856,012,874,801,864,167,
112,930,347,566,686,684,606,674,703,871,968,095,231,344,152,909,334,426,042,
729,373,559,849,153,069,528,667,036,683,139,963,262,811,383,454,550,224,663,
132,524,111,757,897,011,470,453,305,392,592,900,779,205,287,860,854,694,877,
031,176,405,569,649,417,413,584,093,188,071,372,897,418,516,505,703,177,582,
981,007,412,981,598,235,634,448,754,023,262,250,532,042,524,097,840,213,223,
846,340,898,716,571,364,364,990,997,678,479,100,227,398,601,694,883,652,259,
980,027,899,517,967,749,201,505,962,885,858,005,366,356,698,736,866,823,737,
279,873,614,610,299,394,794,631,854,057,352,402,331,037,669,879,128,918,668,
042,791,468,722,011,378,226,226,634,855,053,139,450,880,881,089,742,467,926,
123,364,652,175,063,890,068,965,763,590,147,412,753,076,742,263,996,416,836,
087,829,776,812,790,335,560,471,556,968,103,336,115,916,991,040,198,429,260,
442,304,076,725,320,905,669,214,408,722,449,163,983,700,280,166,855,336,381,
138,487,526,067,270,101,826,078,164,569,406,722,321,020,356,304,282,362,827,
407,892,257,507,358,181,617,984,467,870,300,646,271,669,965,213,000,994,093,
387,414,315,097,914,506,778,842,143,596,811,527,742,647,231,144,426,226,979,
902,069,589,087,505,006,279,181,886,048,740,278,328,184,284,205,487,736,130,
943,949,477,498,722,224,310,904,682,006,485,209,979,970,647,814,186,074,441,
356,502,336,583,287,195,127,109,932,742,148,837,763,123,315,449,852,306,616,
825,334,885,126,124,458,667,237,818,479,275,569,133,714,874,434,171,603,646,
106,735,132,257,603,547,341,669,045,369,103,887,062,631,334,461,948,019,778,
412,597,219,779,905,568,061,011,832,436,058,644,608,732,845,595,109,950,865,
293,583,052,231,123,036,191,709,575,536,644,529,970,804,009,596,284,259,308,
916,826,087,109,764,579,874,068,250,811,942,652,667,152,171,787,854,056,478,
883,163,195,766,383,439,716,460,801,961,957,016,881,024,470,688,471,248,018,
649,062,437,787,273,524,310,799,932,692,116,645,009,796,292,598,892,927,939,
611,851,184,218,242,733,422,478,684,229,106,409,378,488,271,131,885,170,253,
546,085,995,788,173,311,711,412,261,509,793,665,309,302,047,037,470,922,734,
175,054,255,315,322,167,257,870,006,203,474,792,030,766,101,198,839,255,796,
366,033,397,585,074,713,706,948,376,442,664,642,743,616,392,722,501,485,741,
383,743,044,148,629,485,673,298,400,412,380,392,512,870,167,693,913,619,465,
787,937,766,913,812,925,595,893,551,481,803,943,035,591,117,208,617,551,653,
434,809,727,790,091,275,761,963,695,490,312,962,115,617,824,821,247,646,473,
251,762,517,787,633,994,759,162,055,836,298,972,419,819,206,470,491,058,508,
579,746,412,687,891,920,283,637,107,396,216,571,759,829,473,523,535,223,712,
057,755,424,947,966,755,512,166,064,020,332,406,858,349,086,047,037,230,476,
920,688,911,756,065,473,268,774,348,130,900,145,595,305,492,317,766,998,407,
134,232,787,311,525,432,776,529,610,728,488,404,280,273,619,380,187,938,499,
964,649,011,564,042,575,974,533,016,114,761,454,980,888,989,223,032,071,211,
948,483,192,752,725,495,773,202,172,537,249,783,002,868,209,685,901,952,624,
197,862,260,718,279,006,471,655,659,808,770,197,048,659,622,774,480,912,577,
329,430,934,065,479,857,192,867,810,975,524,721,801,289,334,489,906,477,362,
255,866,052,504,235,329,472,722,656,637,274,271,522,324,454,773,879,227,233,
103,557,807,567,867,908,370,611,162,112,468,479,442,423,782,894,459,643,508,
985,059,131,672,509,895,715,751,281,638,954,831,138,432,774,105,106,516,924,
282,712,851,431,906,426,519,384,914,533,805,083,202,124,947,833,921,530,065,
597,342,669,255,454,861,023,329,323,756,942,639,040,360,659,237,849,943,815,
211,760,422,190,957,312,299,658,353,284,901,368,593,504,033,010,477,734,199,
528,698,932,485,739,349,652,336,116,501,783,159,533,512,150,048,748,473,680,
929,988,860,267,031,052,592,410,107,524,829,724,129,690,786,647,403,663,787,
025,489,673,395,806,767,108,975,480,728,644,129,587,658,417,185,824,495,269,
680,868,447,847,045,210,902,796,483,909,907,767,213,879,078,020,545,942,196,
347,869,808,986,094,851,489,906,790,743,091,608,839,718,876,573,304,434,562,
247,161,267,496,920,694,116,337,597,290,447,688,306,949,480,077,700,390,319,
299,694,289,241,944,616,016,555,602,965,186,416,229,664,938,295,736,382,088,
295,207,187,654,865,040,629,686,564,748,524,426,177,256,653,797,804,023,190,
604,495,962,115,741,760,393,840,058,855,626,299,709,076,722,854,518,845,253,
167,166,986,846,960,253,992,411,150,219,039,256,537,599,199,870,567,787,419,
871,878,219,536,514,178,812,819,270,484,212,511,325,892,641,919,027,271,113,
934,368,888,448,064,059,523,931,714,433,176,308,814,198,719,305,824,884,461,
246,788,843,434,638,749,395,711,468,390,719,106,248,738,963,179,638,130,372,
097,825,762,537,205,763,883,772,011,573,126,109,477,983,244,782,945,566,304,
691,319,711,781,803,958,743,069,458,244,712,340,171,386,915,612,797,375,811,
474,413,278,220,331,443,477,578,722,795,400,234,148,211,000,702,690,323,523,
300,346,405,053,555,298,634,154,948,401,723,415,500,548,898,006,873,500,247,
491,289,146,765,488,277,577,073,471,642,699,974,350,574,407,386,489,093,757,
357,288,076,718,713,509,867,272,882,299,624,058,086,096,241,156,480,157,722,
815,827,278,541,179,951,947,707,769,684,696,072,532,162,291,906,441,963,976,
314,378,652,525,394,587,147,379,845,700,953,758,256,941,407,967,411,262,398,
898,760,536,822,645,944,850,055,563,393,709,842,345,453,197,392,192,615,802,
950,537,941,691,449,698,185,180,994,266,632,938,973,906,437,479,498,897,892,
198,551,133,575,614,167,098,534,300,955,979,886,965,437,318,639,543,357,014,
881,097,549,246,376,930,638,461,445,441,847,601,648,144,954,432,156,983,652,
036,957,821,293,554,047,367,459,119,718,110,309,314,439,953,965,000,704,572,
636,739,119,535,998,456,448,964,922,106,846,154,329,663,616,373,041,186,218,
441,281,579,530,238,113,255,413,477,246,217,864,905,701,891,810,588,551,148,
689,997,997,423,595,211,048,976,694,527,974,311,264,271,128,205,137,107,912,
870,966,323,429,367,831,077,768,212,698,911,112,706,283,304,832,219,559,595,
986,232,099,725,379,921,448,780,308,854,637,779,566,203,347,968,839,113,094,
660,938,143,232,629,520,870,203,476,254,374,938,891,641,251,827,462,307,817,
981,625,011,085,273,949,735,059,902,156,054,688,250,724,263,384,665,015,032,
125,495,818,240,883,518,729,602,681,210,274,468,428,804,171,919,485,156,341,
128,786,265,176,377,530,119,728,923,992,858,598,120,614,398,854,728,664,313,
839,776,699,216,543,796,260,639,655,719,175,022,028,408,287,620,079,462,489,
423,887,962,928,818,428,331,979,957,968,507,991,899,742,479,229,331,944,163,
095,442,345,378,091,053,858,866,658,405,008,583,033,955,316,109,517,219,323,
697,546,524,442,218,904,331,455,246,986,152,276,999,056,331,697,596,616,797,
277,208,116,440,338,235,517,919,437,567,127,155,555,179,690,087,452,694,978,
433,174,000,337,559,906,435,130,187,468,111,820,502,685,039,590,894,764,796,
382,838,987,157,945,555,646,541,769,879,438,783,365,064,433,445,248,049,863,
191,721,740,864,657,256,308,288,345,134,865,635,793,862,173,499,593,905,434,
467,015,245,002,438,371,037,964,187,919,222,264,729,235,178,261,427,743,835,
994,655,170,214,625,462,657,109,435,616,969,411,862,145,041,049,812,907,306,
856,385,021,421,548,064,219,552,251,337,447,979,623,231,419,458,475,366,688,
087,090,559,212,751,542,005,890,726,185,693,586,182,257,389,762,422,823,471,
581,347,969,405,147,903,947,216,587,665,701,819,504,263,769,229,979,363,458,
424,223,217,059,426,477,968,517,478,745,286,406,142,051,505,942,625,165,965,
268,860,093,482,985,743,836,459,540,268,205,625,163,223,985,938,421,677,868,
311,964,878,281,600,353,753,726,735,205,066,469,895,356,983,561,833,281,764,
057,684,246,795,960,086,448,090,589,004,213,385,042,835,079,281,426,760,209,
513,055,264,379,991,999,671,944,036,788,294,487,007,230,840,179,676,989,936,
447,646,623,319,247,443,773,840,519,253,539,102,235,652,795,128,812,179,628,
280,387,102,868,321,811,817,568,355,598,704,873,373,353,585,254,546,761,889,
877,893,427,951,078,493,683,941,450,565,694,673,763,515,659,018,416,758,304,
706,188,098,094,221,666,657,940,686,732,336,580,856,388,040,032,887,653,629,
068,534,524,497,063,448,437,966,892,848,383,056,728,339,595,281,153,482,797,
404,319,809,174,207,881,487,745,084,070,758,657,953,198,489,159,070,667,213,
193,342,940,289,308,602,089,728,886,867,334,148,673,876,812,356,175,182,236,
068,994,127,879,016,961,659,999,082,958,943,987,492,890,475,542,318,171,233,
960,212,599,671,633,557,899,638,248,381,524,627,929,800,909,972,003,602,129,
691,013,769,816,626,246,499,091,250,491,861,413,084,959,644,949,415,896,569,
191,291,979,554,277,456,034,334,460,815,910,318,708,361,450,355,225,810,041,
183,732,479,669,585,241,029,732,619,436,770,321,252,527,670,043,917,148,767,
486,573,119,359,549,839,081,697,573,424,845,902,529,133,213,090,052,477,127,
005,564,560,382,128,051,235,579,637,051,399,792,141,276,628,629,576,000,729,
334,231,041,197,486,511,250,181,472,432,219,289,917,277,689,966,296,253,624,
708,480,719,935,285,210,741,202,638,096,261,697,510,860,637,889,093,286,897,
726,006,474,331,137,752,843,812,196,530,991,814,691,586,395,942,867,363,487,
961,185,915,838,507,768,997,277,806,286,767,849,048,540,700,092,137,046,145,
333,488,088,379,149,481,782,612,861,752,703,492,251,165,068,254,611,964,677,
948,100,547,624,252,121,998,839,931,644,879,829,046,240,367,247,759,871,303,
304,716,646,347,169,305,847,486,679,810,353,172,922,011,426,095,190,267,558,
609,289,718,373,560,974,366,139,503,966,036,611,828,443,907,656,183,317,433,
267,480,588,744,413,045,517,832,888,182,784,486,172,474,686,573,361,274,053,
568,438,954,621,965,763,820,923,602,731,140,137,221,260,733,691,246,597,796,
833,750,491,554,371,720,080,409,445,780,211,847,178,463,490,009,684,521,772,
783,274,855,446,870,720,570,983,521,800,352,792,226,182,982,620,403,192,630,
480,663,601,069,792,046,157,941,480,418,178,299,722,437,397,275,822,718,741,
812,789,938,711,248,677,993,456,585,055,702,671,789,210,421,332,050,218,875,
705,219,480,597,407,661,029,822,288,957,300,205,202,080,262,402,873,962,158,
750,880,229,708,869,951,165,856,958,007,641,113,970,933,309,049,008,575,992,
762,355,467,885,635,571,185,366,551,196,539,295,807,725,411,933,629,649,762,
645,940,590,092,392,743,311,197,921,064,450,004,708,945,968,533,067,806,131,
279,235,772,786,506,326,921,922,255,617,383,097,571,709,156,946,052,758,926,
148,877,869,563,811,255,250,460,876,694,417,310,062,966,096,464,341,423,550,
555,954,743,398,178,030,051,184,319,323,797,864,305,256,487,149,180,245,803,
972,889,675,918,395,723,883,109,328,289,705,672,898,447,346,366,368,481,181,
204,619,194,200,707,787,185,228,633,471,953,926,002,926,430,216,987,065,270,
227,296,385,652,098,228,836,001,325,498,018,375,969,422,782,336,160,808,468,
104,617,465,596,561,636,790,844,004,629,619,366,104,998,849,132,145,855,411,
198,103,865,020,139,495,292,082,118,178,702,333,602,077,195,620,772,780,696,
598,509,672,308,907,189,602,538,483,750,390,517,500,550,223,500,122,577,483,
381,114,124,142,593,324,392,970,847,453,876,115,191,078,515,884,011,205,643,
067,069,794,897,830,017,110,615,225,743,140,469,227,727,480,332,061,026,721,
932,300,044,820,132,203,354,669,304,752,946,203,754,459,141,118,080,611,068,
907,249,197,538,375,168,757,285,182,417,852,936,072,147,274,406,002,240,724,
225,319,513,147,402,188,715,146,679,786,664,912,412,390,589,529,554,730,067,
237,175,862,334,700,808,510,760,968,103,733,205,064,473,721,868,720,814,392,
825,508,163,232,359,363,825,261,410,073,894,043,742,881,943,026,412,610,054,
685,315,413,258,303,419,110,586,692,247,831,498,015,934,953,453,199,494,516,
844,525,386,026,965,872,690,097,585,400,561,186,264,259,703,627,903,741,387,
531,677,101,709,276,617,090,001,753,748,468,236,288,060,074,093,138,349,110,
733,829,683,138,223,533,967,290,342,159,400,355,182,771,281,365,276,965,945,
065,633,194,103,671,766,203,700,225,195,259,280,170,361,861,135,055,812,147,
782,283,674,257,849,621,923,334,518,319,529,892,224,778,757,530,699,073,021,
268,005,063,955,152,776,504,912,824,526,543,892,758,179,167,875,905,797,012,
156,933,854,463,800,529,151,948,132,192,566,890,659,255,224,857,335,749,505,
163,601,791,555,203,062,626,684,838,937,147,487,281,340,481,461,100,825,753,
416,247,799,995,044,939,929,875,877,947,131,662,712,961,219,957,006,520,421,
950,140,235,515,316,696,451,008,974,580,641,955,749,443,904,560,224,604,583,
645,541,822,794,885,752,546,554,945,031,800,675,564,773,608,272,401,109,795,
401,428,424,908,727,302,659,488,298,609,106,644,885,721,613,036,265,829,436,
277,960,009,516,812,109,365,829,001,577,439,020,936,235,487,241,077,245,828,
540,104,483,191,481,745,491,185,111,263,566,917,532,301,476,393,881,096,787,
442,147,760,180,228,262,755,930,506,006,631,756,224,373,760,616,009,790,250,
168,176,677,265,831,707,355,582,387,618,101,214,075,687,940,269,485,832,274,
306,404,867,231,980,095,287,857,505,895,490,680,903,470,159,478,199,550,165,
452,080,089,108,647,620,011,849,268,378,140,185,224,552,465,967,741,712,545,
508,619,276,451,555,503,466,015,372,284,631,230,539,121,543,908,557,651,291,
623,065,151,016,704,153,831,047,942,911,956,895,176,159,400,122,591,277,573,
653,850,992,223,952,203,979,986,329,697,439,881,927,287,850,431,091,756,141,
127,094,863,492,179,499,854,875,020,498,759,218,635,480,617,700,579,164,038,
716,396,610,203,572,861,100,561,505,271,066,806,057,056,913,368,315,466,762,
588,008,879,136,555,692,171,915,448,763,633,926,408,062,553,988,795,368,890,
350,913,000,774,439,963,967,257,323,941,426,728,245,514,550,470,849,344,793,
577,044,511,700,609,617,817,979,785,849,098,689,465,724,159,612,227,943,567,
436,409,636,231,456,337,311,129,232,409,899,335,880,651,177,980,373,860,107,
034,502,695,944,399,598,589,927,182,205,303,781,705,327,665,607,977,628,396,
250,876,950,997,278,846,295,199,768,045,551,227,062,689,269,809,309,978,676,
865,722,445,366,892,657,402,122,510,104,443,452,555,616,667,820,340,853,336,
218,568,652,065,760,949,005,660,976,297,292,079,555,734,903,612,934,642,846,
795,266,056,208,013,762,113,999,760,528,501,256,593,423,330,896,363,550,010,
640,940,935,078,946,003,682,549,829,792,890,283,155,566,699,297,011,632,676,
998,758,132,385,921,866,936,947,736,021,744,632,194,053,571,103,322,589,038,
691,709,764,191,532,801,565,221,892,721,992,306,808,881,390,795,120,296,515,
518,470,801,633,778,176,012,751,865,581,459,838,699,599,749,447,709,649,586,
285,208,795,336,606,525,130,086,365,516,819,882,811,801,061,723,710,046,681,
552,231,261,536,819,075,291,868,393,598,651,017,339,798,802,530,683,956,048,
516,604,821,581,139,702,969,747,549,282,877,673,407,803,483,397,621,695,969,
179,851,643,482,379,123,195,065,088,726,142,179,131,295,641,309,846,683,845,
949,995,353,767,762,300,327,490,476,279,703,006,654,647,554,232,941,703,023,
851,826,539,461,135,714,240,367,926,693,335,503,200,548,990,151,823,032,113,
068,153,775,238,321,604,807,623,760,213,292,993,379,945,520,481,105,361,572,
015,106,220,038,236,087,018,972,850,659,117,182,961,689,719,023,156,141,218,
751,380,948,348,762,287,450,733,480,609,221,995,065,079,483,878,718,861,158,
665,940,757,984,035,861,955,346,053,135,189,799,880,578,636,645,469,318,069,
298,236,306,003,594,185,949,354,080,866,902,063,600,792,410,331,010,122,608,
226,508,404,293,770,615,385,741,418,046,673,996,472,819,672,315,036,267,982,
985,327,236,518,910,754,610,563,108,920,113,425,759,542,644,394,011,305,395,
235,922,156,685,362,517,957,832,946,601,492,489,345,829,150,909,901,411,857,
487,328,204,607,679,538,460,189,842,442,533,055,055,985,856,866,412,264,249,
528,229,641,604,666,516,792,965,185,070,318,856,656,414,620,541,018,476,935,
427,470,963,923,963,111,202,736,154,418,728,691,853,037,401,789,443,579,342,
109,438,233,281,556,618,087,591,967,218,981,114,884,371,391,470,458,808,536,
219,478,913,134,902,781,107,758,145,190,147,502,530,515,351,868,260,151,209,
044,297,484,078,232,624,483,305,007,987,248,199,816,637,059,362,236,912,934,
415,130,202,578,017,444,858,026,529,227,396,401,657,518,996,357,430,128,839,
279,463,574,010,843,767,498,649,527,792,973,694,807,858,338,238,193,207,729,
469,733,002,226,102,475,138,185,175,774,525,050,482,055,215,428,487,920,983,
604,564,555,987,374,453,070,770,075,052,737,098,815,110,261,091,819,319,913,
779,448,156,735,135,056,582,963,801,172,596,373,774,762,425,482,277,390,825,
872,508,265,925,369,400,501,958,149,688,519,975,457,946,863,717,664,081,914,
102,631,178,086,726,272,064,042,750,690,616,498,780,277,950,886,050,337,597,
489,343,466,640,933,053,499,369,171,689,578,897,819,905,137,027,535,597,706,
329,141,183,437,545,408,495,548,892,205,367,203,985,372,944,446,133,624,317,
866,746,188,732,491,644,316,104,332,426,319,607,612,660,723,581,416,662,228,
175,499,736,499,047,592,971,669,026,627,784,202,150,079,786,423,122,393,131,
065,492,221,755,717,191,740,177,000,648,212,129,621,957,902,008,967,347,351,
359,664,260,270,313,183,583,006,883,858,861,000,702,063,725,697,737,831,755,
284,498,233,311,276,010,477,331,641,110,774,443,258,346,687,671,533,873,744,
494,357,604,430,914,702,200,250,894,407,676,303,453,993,448,068,689,530,893,
985,956,246,215,435,834,722,758,228,682,801,877,615,628,110,985,660,551,119,
310,376,893,217,802,347,864,091,679,649,678,789,573,968,392,112,048,895,061,
900,858,928,669,431,536,516,441,828,248,100,185,052,377,330,139,019,457,993,
370,071,062,592,564,633,926,600,567,863,941,316,705,546,780,870,275,823,383,
149,306,230,044,750,660,422,455,135,769,871,836,771,963,443,386,711,815,832,
389,025,010,824,480,999,098,234,048,558,275,323,721,631,557,512,733,219,981,
453,622,900,110,020,360,393,369,835,941,289,081,108,515,507,074,146,338,142,
084,049,559,566,254,464,731,169,345,161,195,859,869,866,178,003,347,153,267,
612,390,888,220,936,837,296,628,648,529,517,266,705,301,249,437,817,268,149,
598,892,465,205,611,898,321,886,145,563,576,138,960,523,066,424,242,766,394,
338,459,937,365,274,575,719,647,533,631,482,032,888,699,606,631,735,786,031,
409,913,240,549,246,029,415,495,481,079,852,231,187,243,960,507,899,711,378,
773,027,789,918,888,782,586,834,915,679,185,139,669,480,829,439,107,720,390,
556,174,093,862,725,242,520,969,925,515,120,220,833,775,495,263,263,962,035,
348,741,523,292,317,467,911,759,299,467,697,711,681,215,262,958,104,860,509,
317,386,285,009,121,447,963,716,049,574,931,265,539,618,241,788,429,081,784,
141,787,092,761,355,890,258,178,166,437,365,413,698,652,802,118,413,775,681,
711,897,057,123,166,203,638,333,117,860,586,053,099,249,104,525,902,290,510,
880,297,252,441,344,141,868,464,241,035,077,447,963,699,490,620,015,300,476,
231,658,549,241,565,773,631,804,493,186,698,196,254,107,228,828,956,327,222,
757,334,081,585,002,383,397,221,034,323,435,667,900,394,387,479,950,255,518,
238,545,513,646,998,382,777,047,570,163,637,774,350,235,240,921,260,349,798,
017,398,842,641,815,096,267,337,516,897,529,682,093,742,648,235,593,549,480,
667,041,275,597,971,077,454,142,841,495,524,890,565,492,073,543,116,065,123,
369,131,410,106,620,244,603,229,239,033,927,312,769,413,389,961,038,594,159,
893,928,820,787,844,876,662,163,129,694,841,720,909,105,456,991,744,225,025,
820,730,601,479,519,121,478,821,525,484,167,468,047,305,864,008,258,562,609,
321,925,361,151,886,962,277,208,713,840,872,625,099,939,074,923,650,664,978,
050,341,985,128,283,006,051,512,780,847,495,326,922,444,147,124,080,043,252,
814,841,035,197,935,438,135,082,549,711,597,667,351,254,871,706,835,596,603,
341,849,905,626,876,896,610,367,325,641,865,626,128,326,239,513,928,073,725,
687,313,363,904,792,667,687,056,876,164,310,900,761,498,571,266,995,885,408,
754,973,253,783,534,574,717,395,350,375,466,855,787,710,721,139,096,484,073,
358,115,176,843,475,169,113,799,721,793,186,203,378,088,500,635,150,415,373,
480,667,401,594,907,253,321,054,767,416,920,653,730,370,593,119,968,777,991,
698,301,992,933,786,968,516,657,075,032,964,996,097,375,847,349,056,253,556,
194,906,520,855,283,939,649,080,298,410,675,693,735,092,375,980,116,294,829,
220,936,738,505,632,690,188,161,205,972,951,989,839,179,683,952,208,877,769,
826,221,937,190,559,353,826,820,091,075,958,588,027,270,370,247,471,984,211,
141,183,871,444,704,377,695,778,123,215,629,170,769,920,868,056,791,689,840,
932,736,566,302,604,374,375,577,257,277,727,653,170,330,429,383,265,292,830,
290,289,043,808,888,747,366,342,868,080,987,837,423,423,857,171,826,668,375,
139,445,134,407,886,813,919,674,119,875,761,802,943,965,327,737,418,500,959,
686,054,835,984,565,290,251,203,804,827,267,342,475,104,991,114,952,802,839,
684,781,437,945,860,415,730,123,106,412,855,343,485,442,326,661,439,757,094,
659,341,469,418,239,399,380,386,938,492,309,340,803,704,795,019,455,432,589,
207,083,462,871,086,652,035,049,817,872,912,647,792,032,428,660,413,270,202,
214,837,990,182,325,227,986,718,118,269,270,356,871,955,574,883,644,154,614,
440,566,832,983,447,620,760,439,942,040,455,051,589,075,440,090,654,981,056,
230,478,937,704,683,598,470,625,031,806,466,598,802,978,274,224,960,513,740,
254,864,555,203,156,168,472,214,054,492,144,000,216,538,307,445,849,716,578,
671,161,532,516,678,688,383,082,055,869,904,400,246,334,003,209,870,760,265,
106,745,401,198,259,190,096,028,033,319,933,995,156,936,184,719,976,944,019,
110,831,985,979,851,581,237,800,897,480,811,382,767,879,742,897,044,671,470,
590,057,551,187,657,134,409,673,657,750,573,645,003,453,935,687,621,605,608,
066,884,492,817,443,370,088,354,886,940,741,240,912,932,003,250,250,241,447,
238,727,119,642,749,831,559,698,852,260,830,081,624,934,929,508,123,128,093,
115,355,747,164,569,143,359,222,963,763,589,001,835,164,628,593,876,995,032,
355,787,558,181,395,250,875,888,441,929,475,454,676,397,343,674,456,530,180,
017,347,904,179,252,742,995,524,838,540,102,619,608,575,492,642,116,317,082,
967,745,116,426,161,794,457,127,056,742,823,738,859,394,410,460,890,989,510,
229,875,518,510,868,020,635,217,889,677,053,855,014,486,742,447,047,508,378,
481,659,914,799,134,484,734,456,995,725,453,334,512,116,201,069,697,541,515,
582,391,423,750,672,384,891,989,498,412,509,630,211,864,701,885,234,673,118,
262,042,075,367,105,305,657,676,940,831,529,589,662,667,066,493,491,572,434,
945,230,319,523,351,598,754,354,869,465,291,152,506,732,193,755,701,816,199,
465,956,146,340,044,091,122,324,411,208,398,638,796,126,153,594,301,776,136,
478,014,346,470,709,309,945,291,407,751,765,999,650,545,436,873,485,709,251,
797,505,312,852,717,863,612,360,833,753,239,094,194,427,873,460,708,391,977,
324,237,741,773,316,630,717,936,680,217,089,532,588,319,671,965,221,158,886,
345,634,061,311,155,446,450,657,494,773,522,006,345,069,731,009,522,444,877,
144,436,207,648,689,919,379,900,769,627,130,984,143,021,945,281,868,226,997,
676,814,620,978,884,964,079,618,806,866,338,874,353,797,861,724,703,266,668,
642,490,988,178,947,004,076,241,532,630,371,498,724,542,431,995,911,570,290,
927,084,106,947,568,598,950,188,944,411,218,307,842,107,176,121,732,012,832,
591,166,451,183,040,745,844,429,059,676,475,947,689,223,289,809,122,272,928,
490,934,500,513,535,657,097,693,748,916,111,956,440,106,437,824,252,160,162,
167,467,837,914,486,526,490,281,124,540,363,164,193,159,397,971,834,054,840,
139,430,658,399,276,682,146,834,740,743,958,646,145,880,685,709,240,083,471,
816,067,550,960,140,561,729,025,980,993,416,950,017,224,220,572,249,371,347,
170,651,319,233,461,738,859,962,502,883,944,467,958,223,243,689,672,243,520,
680,712,095,108,908,671,274,687,544,098,481,821,518,488,144,353,344,725,770,
854,378,492,476,215,854,312,462,259,717,608,598,567,079,491,665,017,781,588,
572,453,844,484,779,850,433,628,445,495,922,608,861,963,144,200,897,525,648,
745,728,472,738,734,770,075,602,770,533,209,565,713,474,860,451,022,457,453,
858,989,636,542,417,500,630,728,334,186,229,778,131,295,566,599,155,001,283,
282,304,081,824,588,056,028,030,239,111,399,077,429,035,403,002,645,046,676,
432,822,823,109,252,129,814,637,747,452,010,982,372,026,481,507,124,251,663,
536,252,444,559,402,294,900,247,814,293,727,900,673,043,964,540,518,706,557,
125,374,947,208,188,741,035,614,911,220,077,852,421,860,692,769,007,472,424,
927,763,444,479,713,376,684,607,862,180,850,454,897,430,607,534,213,447,911,
736,036,927,637,961,129,693,170,146,938,364,351,477,167,863,897,009,037,156,
243,189,537,979,948,756,832,527,272,740,823,559,197,100,205,167,765,019,998,
334,186,304,773,959,696,473,162,871,493,857,069,776,292,802,578,030,458,144,
532,611,256,626,045,097,055,645,298,997,985,230,121,455,206,475,700,235,808,
103,812,476,320,406,634,616,805,754,538,357,270,437,734,833,972,033,389,390,
161,180,470,041,145,886,429,126,097,059,694,186,934,838,343,958,602,513,771,
907,458,084,812,180,005,831,592,615,908,562,521,757,972,704,403,230,930,308,
978,454,586,870,703,774,921,903,639,979,873,830,856,882,105,245,087,251,206,
303,875,565,331,344,672,958,027,082,646,413,122,639,760,869,958,221,263,964,
467,504,581,012,391,318,035,132,501,186,839,059,087,263,596,207,098,640,473,
833,685,681,869,514,321,193,655,741,204,593,824,587,124,051,292,089,205,811,
577,358,158,309,762,224,500,520,549,953,402,332,503,885,471,100,877,654,038,
984,213,616,944,382,183,099,836,852,752,968,203,915,425,714,550,221,125,276,
074,627,674,624,602,543,461,640,660,216,788,096,095,753,995,233,935,588,597,
309,214,927,908,641,455,157,044,910,081,283,440,809,773,837,257,648,102,236,
120,579,273,686,218,639,576,901,870,629,095,824,457,095,850,732,221,337,588,
205,951,474,881,352,607,105,136,403,733,540,644,673,072,128,280,892,807,057,
262,309,736,736,199,954,434,875,521,440,213,748,896,018,994,976,331,397,677,
378,419,482,239,465,267,839,692,302,076,840,362,132,223,052,822,028,988,551,
451,577,053,089,442,312,930,825,115,839,487,121,108,756,270,013,415,457,555,
436,628,331,267,395,820,885,240,381,114,126,826,818,807,231,666,072,276,432,
788,025,555,246,044,435,911,397,511,530,691,535,849,242,218,911,119,785,242,
944,214,987,901,320,414,521,829,435,936,796,801,301,733,470,630,415,738,536,
443,794,629,748,780,485,262,886,544,337,699,770,468,507,345,614,317,025,837,
102,322,798,161,629,233,344,934,479,782,787,352,027,938,354,764,841,886,845,
630,320,464,937,013,709,671,490,090,064,210,310,805,616,349,789,494,027,278,
753,963,094,381,186,812,984,365,113,884,933,081,595,924,278,586,132,400,393,
817,125,287,500,116,935,560,059,025,601,052,931,822,170,894,046,600,970,036,
399,194,194,642,184,368,971,371,960,067,986,333,762,864,891,252,527,208,213,
342,391,811,086,753,559,158,714,118,354,095,312,479,970,477,539,293,225,528,
936,537,650,607,078,009,987,472,612,780,908,060,231,764,762,433,120,977,491,
293,334,237,350,798,156,199,814,510,885,640,974,843,566,117,901,618,030,132,
841,222,920,826,274,071,879,355,341,467,342,722,963,006,037,692,906,683,335,
614,917,802,120,281,924,700,246,251,745,380,735,693,685,849,786,037,258,586,
623,270,398,847,983,518,408,653,468,372,067,587,091,825,233,089,671,402,886,
310,776,434,471,040,936,086,584,235,238,422,436,801,877,556,261,164,564,568,
084,519,665,119,150,936,744,055,611,279,111,348,014,131,723,493,772,405,182,
346,906,434,555,770,828,818,177,539,373,400,825,361,274,751,854,717,803,229,
068,963,553,133,930,169,368,849,741,728,185,156,398,148,369,961,612,309,909,
640,127,938,873,109,013,493,194,328,619,800,735,711,333,443,965,569,169,050,
106,194,857,042,730,600,762,729,845,941,786,578,505,702,899,674,218,540,439,
863,073,102,177,958,738,905,806,501,308,175,081,434,874,607,157,978,281,279,
516,668,993,787,899,155,209,007,116,463,188,994,901,219,731,664,951,313,828,
397,255,998,390,484,256,108,639,680,721,049,597,394,508,049,398,258,673,884,
333,838,080,327,904,715,833,280,789,669,811,589,731,201,982,910,974,538,061,
497,035,763,858,641,323,215,948,979,172,923,487,480,837,858,052,402,282,206,
338,593,901,812,277,653,574,229,554,795,993,839,556,938,370,811,902,406,578,
818,820,994,733,285,386,589,777,765,442,215,397,362,162,089,275,013,238,608,
849,389,502,601,030,071,231,975,832,009,901,993,608,656,931,197,571,693,109,
424,896,488,656,784,072,275,662,638,981,947,863,345,209,874,413,762,486,851,
829,813,618,023,065,148,474,197,958,473,810,528,971,905,690,484,791,170,149,
463,517,367,580,992,742,334,776,002,111,678,277,949,030,420,607,404,921,465,
057,628,145,179,560,152,181,637,527,913,995,974,981,336,714,041,722,857,940,
340,906,416,720,982,619,546,656,700,020,933,635,815,928,824,402,300,812,142,
538,133,837,811,592,566,412,690,562,119,436,783,880,901,836,148,329,641,485,
363,803,267,904,314,771,033,279,745,745,003,366,282,192,330,138,177,987,842,
914,207,939,350,401,186,093,285,021,727,589,539,690,459,132,416,403,929,618,
753,082,737,102,179,532,002,879,946,965,479,185,222,083,408,142,957,023,837,
842,145,981,039,244,933,711,174,200,383,724,650,682,967,819,009,142,714,249,
387,953,184,718,292,604,330,750,029,610,351,647,811,485,290,408,582,538,793,
468,898,252,089,504,841,384,838,582,362,347,002,456,754,208,079,232,114,261,
501,868,871,749,234,720,814,974,225,391,302,116,349,677,392,148,903,117,651,
126,330,832,422,878,225,714,680,006,638,376,133,062,328,338,933,170,159,547,
614,256,711,937,104,301,921,250,140,322,194,322,543,779,430,584,624,845,361,
357,605,847,888,065,701,720,471,720,131,936,128,207,073,255,235,023,883,551,
904,855,716,666,364,107,694,512,686,504,939,858,446,839,090,187,080,505,041,
886,252,068,118,466,525,297,780,275,172,882,849,641,411,097,719,379,044,206,
823,667,279,363,198,935,982,695,193,413,334,906,446,959,400,075,495,651,659,
470,754,780,220,489,882,918,510,631,225,791,331,851,445,989,406,892,891,338,
362,173,551,522,510,462,998,249,818,780,456,503,623,950,061,849,734,124,636,
607,026,217,572,321,255,021,104,962,068,590,835,929,628,916,927,486,549,620,
187,245,185,770,236,075,521,534,785,654,968,555,602,621,598,859,233,254,712,
485,065,435,375,979,491,103,923,031,084,135,519,282,129,987,297,924,434,525,
514,795,460,281,119,990,217,491,363,458,564,360,645,700,459,389,511,913,627,
825,189,054,345,823,918,130,381,987,526,500,718,390,795,364,129,678,223,325,
622,227,074,989,969,694,644,375,832,078,207,831,589,813,729,418,197,343,088,
370,955,629,993,910,992,870,845,635,642,911,332,655,784,293,405,768,547,800,
823,175,131,202,051,355,097,414,736,942,717,927,744,816,525,582,114,645,060,
152,674,535,054,388,879,775,466,696,925,674,888,780,477,944,567,407,451,006,
961,385,409,660,954,276,400,085,202,590,353,411,985,349,515,620,592,657,269,
376,895,745,491,989,534,444,888,275,969,654,046,818,086,698,776,200,560,878,
803,778,243,436,822,441,644,868,855,196,333,428,102,579,873,817,380,486,847,
507,684,480,810,022,575,597,649,165,657,317,852,096,048,731,705,660,909,847,
093,276,680,634,595,369,952,191,244,713,987,789,868,889,501,900,340,091,524,
605,245,691,575,128,194,798,704,782,113,601,119,235,035,627,225,659,085,602,
632,057,013,649,097,350,792,835,801,184,666,777,024,300,013,467,056,945,416,
183,056,087,470,107,652,499,350,363,721,265,712,975,745,812,900,355,128,567,
549,462,033,779,575,413,452,617,607,401,414,734,443,665,460,688,293,453,811,
026,158,015,669,407,195,913,473,479,776,551,478,502,243,422,295,726,236,875,
111,889,364,862,114,016,314,051,742,454,030,380,937,004,931,387,828,211,218,
535,150,383,527,482,452,221,985,890,770,565,695,736,439,605,987,528,468,374,
248,155,153,686,501,814,308,487,107,722,052,306,225,117,784,935,734,163,251,
945,603,480,570,203,254,765,724,523,180,507,461,681,506,127,468,988,265,588,
326,152,005,286,832,197,928,517,792,875,046,546,861,457,968,420,667,391,709,
138,967,824,518,623,329,796,811,870,587,858,341,445,271,796,873,365,732,199,
929,789,883,146,344,115,840,962,735,920,559,367,482,962,798,487,717,367,117,
524,724,201,739,279,504,689,385,212,677,120,648,968,728,089,072,483,421,357,
311,852,092,851,456,678,891,788,626,474,418,864,119,955,418,727,028,389,254,
038,734,705,846,786,925,567,395,355,686,053,654,884,618,320,543,558,870,467,
871,665,204,065,762,281,111,568,483,149,638,612,562,596,736,764,325,212,955,
750,151,742,407,531,070,465,997,666,795,610,279,479,387,216,179,772,131,840,
273,889,278,873,125,841,881,381,821,640,563,318,972,253,932,706,231,689,873,
007,126,265,741,771,487,458,151,574,287,339,498,755,315,918,596,596,039,712,
992,628,304,239,164,282,045,876,730,599,931,487,039,138,465,185,001,420,326,
472,471,738,707,640,208,908,966,811,304,748,613,563,181,841,504,600,917,781,
602,250,197,317,456,092,783,055,921,998,786,206,296,774,353,157,437,262,913,
381,627,079,730,160,393,899,322,280,457,021,136,836,871,220,049,080,730,273,
660,225,320,695,036,463,896,090,781,824,021,017,457,769,442,427,616,037,126,
324,277,883,572,371,354,156,803,830,702,930,297,740,704,357,039,708,571,591,
802,815,024,920,762,206,261,711,043,103,262,728,025,480,373,556,552,569,599,
736,827,241,495,062,043,725,849,812,498,653,138,240,532,774,707,425,146,698,
673,765,100,841,605,335,663,147,129,972,858,350,064,537,657,221,460,367,212,
626,226,130,876,430,883,922,525,582,605,195,984,996,811,859,158,882,068,564,
949,895,711,250,338,041,918,144,953,494,079,195,160,834,058,895,784,132,911,
726,449,130,524,916,549,087,094,167,838,854,168,422,050,317,680,561,303,864,
718,406,681,238,065,284,590,060,715,221,016,787,539,221,139,884,838,443,534,
725,233,515,677,379,120,574,263,831,231,236,870,253,673,866,602,146,810,490,
014,847,226,057,617,364,971,534,544,863,078,270,019,435,112,620,213,668,179,
271,717,059,629,502,155,993,944,818,289,848,475,570,313,061,311,024,024,134,
690,983,703,846,685,358,352,818,661,374,589,599,822,573,469,058,743,101,902,
033,988,954,469,192,464,637,456,811,097,837,216,294,091,916,091,500,140,850,
687,060,853,706,640,763,000,334,353,140,305,721,840,493,643,089,124,070,454,
729,493,867,368,841,176,939,726,738,237,463,346,298,391,193,410,541,272,061,
032,785,838,180,446,792,110,919,096,484,804,670,631,998,818,077,869,587,553,
563,208,565,946,033,433,670,784,093,225,035,050,819,426,635,351,469,705,696,
036,166,802,082,678,227,327,468,160,571,114,419,069,787,786,336,407,946,350,
298,921,976,357,699,892,898,969,481,715,136,878,887,609,886,109,565,833,221,
610,509,684,846,953,898,042,392,824,013,192,982,319,856,884,524,214,497,646,
615,308,854,947,978,638,844,373,471,372,923,271,209,983,458,283,934,284,699,
315,450,112,357,072,043,892,937,619,993,112,487,554,572,492,276,870,716,293,
936,817,084,791,498,188,618,517,346,875,812,185,609,047,483,708,680,408,386,
117,663,526,773,884,816,605,237,878,969,853,133,717,329,225,588,207,710,968,
591,760,349,025,395,068,434,791,194,948,879,121,307,256,391,568,433,022,015,
656,489,860,740,843,587,222,625,986,678,254,412,663,179,456,731,834,749,289,
961,625,430,788,091,087,197,838,936,831,020,363,842,864,318,950,422,449,853,
181,389,810,452,593,541,758,704,699,495,820,045,888,260,966,301,513,820,467,
391,074,216,139,273,659,093,977,315,656,645,922,677,033,580,569,201,935,071,
397,876,066,981,478,683,769,596,201,857,676,313,385,965,281,543,654,787,505,
801,350,258,732,086,785,726,214,495,972,875,425,990,082,874,347,931,648,230,
807,928,460,279,978,333,420,091,672,891,352,753,156,182,812,751,033,745,525,
420,157,670,400,321,081,413,056,556,081,828,800,168,662,965,965,543,150,885,
708,610,321,775,598,540,849,384,612,209,283,359,347,279,603,599,271,713,845,
139,141,478,820,593,907,889,239,762,353,350,297,091,104,148,936,746,681,688,
516,015,677,639,867,808,831,900,729,100,441,751,022,180,327,943,003,029,646,
538,908,739,306,356,194,664,550,936,483,404,971,298,682,663,582,300,574,351,
859,407,057,686,411,896,076,561,180,993,135,481,575,497,746,642,618,607,955,
555,203,163,796,691,860,965,908,403,634,512,148,386,780,923,302,637,709,453,
509,439,222,293,756,305,227,398,389,354,972,634,611,024,233,088,740,586,639,
750,445,496,826,489,009,141,626,339,007,278,057,936,591,711,081,987,054,349,
788,342,580,039,547,555,721,043,224,234,653,562,980,013,736,354,530,768,231,
963,873,193,497,340,804,734,208,916,946,522,968,976,726,030,166,645,357,060,
538,014,844,886,410,836,054,206,508,569,643,983,130,199,890,485,425,334,554,
783,706,959,725,877,188,917,336,590,299,210,938,571,449,312,467,472,003,883,
377,995,350,725,930,487,537,000,015,514,174,012,816,783,182,896,486,229,035,
556,243,553,982,245,017,466,666,873,862,464,933,303,127,345,873,920,928,120,
213,945,967,956,928,652,807,233,616,643,459,413,079,175,896,964,509,084,624,
861,279,872,389,210,582,422,602,015,246,603,497,137,331,379,301,826,486,611,
744,349,635,221,864,414,600,133,000,267,941,224,492,254,466,603,465,020,403,
408,618,745,044,369,930,826,349,525,687,078,527,420,888,461,867,597,098,452,
944,612,102,955,697,810,980,303,616,831,073,532,918,692,048,477,076,384,688,
074,104,136,643,889,808,101,897,465,457,690,618,150,137,402,417,575,694,218,
308,222,045,349,146,059,814,989,645,015,421,440,673,557,722,559,520,882,394,
747,392,473,908,103,332,149,405,166,287,342,982,219,087,067,044,383,139,080,
387,125,606,530,765,684,409,563,500,435,034,434,419,819,051,174,384,806,241,
804,767,169,477,947,370,207,799,008,830,020,068,945,430,779,764,245,146,626,
619,226,460,018,109,886,819,521,957,909,462,328,441,609,430,043,705,555,828,
108,591,202,186,757,077,097,702,366,674,220,659,816,886,232,608,839,484,156,
580,273,672,617,891,840,506,381,340,777,713,786,655,531,401,952,329,606,297,
285,338,940,593,079,346,359,299,288,424,469,705,540,686,250,413,636,445,274,
049,869,496,555,395,161,405,087,365,486,007,826,200,165,545,897,132,723,550,
922,344,976,528,879,536,927,195,553,937,380,269,619,390,923,499,872,207,275,
957,069,352,915,456,413,993,870,841,572,744,610,058,641,383,891,219,760,558,
560,977,108,475,381,505,825,007,247,378,869,180,920,452,928,201,898,650,400,
557,929,681,954,084,269,295,877,300,978,154,780,156,991,390,439,402,430,090,
904,689,878,441,171,755,271,166,080,225,773,789,114,304,474,993,963,995,513,
305,462,777,918,450,598,200,918,047,832,775,562,085,462,580,025,141,635,765,
153,311,316,066,378,779,388,348,769,808,118,812,635,025,594,227,200,623,050,
177,581,414,563,127,447,517,273,322,744,037,309,087,231,292,553,268,460,327,
905,645,337,288,023,900,902,862,763,712,565,585,768,024,002,964,401,980,152,
682,896,786,194,816,317,878,376,430,946,932,130,569,699,757,761,132,291,439,
261,797,542,551,314,899,762,914,800,342,190,546,053,304,073,838,719,851,935,
235,895,164,069,798,301,649,071,250,943,857,124,066,308,624,807,698,695,140,
244,431,569,436,375,781,173,872,577,551,147,146,219,004,448,301,674,154,027,
891,688,722,720,449,452,480,344,636,340,166,572,395,924,177,416,792,262,995,
065,809,508,377,127,513,887,241,054,560,324,847,369,490,064,104,603,108,194,
872,102,056,988,861,455,086,588,330,877,605,637,289,114,123,117,929,674,871,
277,586,855,095,155,187,301,185,292,051,167,397,220,797,726,127,746,489,047,
418,864,933,542,507,960,602,741,381,455,280,710,842,924,158,576,144,188,678,
914,833,187,028,270,763,400,848,695,226,211,119,188,658,077,988,009,617,845,
968,120,671,617,893,366,516,682,373,945,590,305,256,117,832,643,325,581,370,
382,694,011,890,255,488,198,533,229,845,936,217,180,094,016,649,153,983,804,
996,604,732,610,381,798,423,613,140,762,320,408,625,411,875,952,059,480,848,
738,694,595,591,276,538,128,278,933,107,206,423,568,887,831,251,632,377,703,
294,924,213,466,081,790,068,199,037,451,093,254,270,136,253,489,489,502,704,
973,587,062,022,384,158,139,226,418,186,778,791,917,519,801,894,949,290,903,
074,923,240,525,303,331,867,084,500,018,338,686,503,049,080,574,127,601,245,
637,368,772,209,547,995,205,583,688,001,790,058,251,629,666,885,068,895,315,
611,753,487,809,031,940,125,287,742,310,835,724,351,007,429,658,715,039,180,
399,970,471,813,315,978,610,598,568,818,205,821,371,276,417,007,830,624,206,
591,987,448,295,049,998,052,190,907,909,648,765,411,558,550,561,023,338,334,
929,838,434,548,367,538,322,838,008,221,977,627,946,585,440,602,498,805,084,
840,983,735,185,827,112,531,348,299,655,617,119,131,876,288,469,775,487,547,
345,860,958,470,823,241,459,197,067,303,534,685,107,121,063,612,129,581,513,
581,036,479,009,988,262,802,532,551,714,737,684,575,811,798,426,268,023,062,
128,100,868,036,216,662,324,788,735,918,972,327,129,230,771,374,227,750,275,
100,231,382,342,744,417,412,102,361,869,827,181,013,138,349,436,954,198,835,
083,423,456,246,819,282,750,038,530,131,158,319,877,756,491,936,061,327,276,
117,887,616,930,256,624,680,644,556,934,628,958,887,911,527,431,263,374,167,
157,665,032,785,151,594,242,679,387,584,299,700,331,407,572,998,237,693,168,
506,027,856,690,683,994,268,531,474,008,899,632,715,971,817,610,567,401,502,
116,517,421,871,791,929,840,735,284,490,486,201,124,038,892,438,047,986,030,
071,229,568,337,893,142,401,839,047,419,413,518,274,935,247,945,500,209,217,
300,221,571,750,221,740,064,942,601,089,289,514,934,359,594,826,620,320,442,
926,120,170,107,327,784,228,437,925,819,001,166,246,479,496,913,344,752,114,
105,107,989,981,777,199,454,977,274,301,315,584,364,122,759,265,554,874,850,
577,228,340,443,859,942,001,370,482,994,576,379,923,378,498,613,434,515,312,
719,495,242,221,690,059,523,945,612,223,955,749,042,347,683,341,589,715,026,
201,149,116,413,536,242,968,597,161,060,871,559,177,350,733,110,184,299,957,
295,094,615,923,296,636,855,713,158,980,574,641,308,708,262,080,204,578,638,
293,831,880,226,621,289,943,912,940,984,993,719,673,406,549,975,304,459,572,
985,903,432,984,613,741,130,927,478,840,523,879,247,276,951,040,334,100,279,
407,632,791,486,009,123,170,973,108,007,877,631,065,709,488,754,746,171,217,
805,422,945,894,231,734,305,063,412,388,969,554,671,194,440,234,384,799,201,
722,852,313,389,872,640,630,825,895,772,298,279,220,660,757,346,879,797,526,
387,997,283,787,663,330,554,839,146,131,840,710,687,380,732,522,244,463,915,
817,449,207,988,475,901,513,278,597,045,400,436,493,139,318,707,127,136,109,
814,467,438,834,270,015,669,996,020,509,260,926,337,541,248,984,851,066,948,
855,810,124,357,520,512,285,476,525,099,042,534,851,660,264,520,001,393,197,
836,115,283,577,791,147,346,513,711,443,627,412,583,603,943,344,936,595,563,
195,387,592,361,942,729,651,902,589,435,002,659,540,796,543,514,064,628,230,
224,825,723,993,706,743,091,989,650,525,273,368,922,822,352,979,167,268,358,
554,649,345,780,858,430,975,517,380,408,388,896,142,641,113,670,743,958,039,
288,444,791,174,875,945,308,787,924,864,299,468,972,356,480,055,940,738,546,
178,227,415,277,862,021,706,316,984,489,423,192,339,054,908,998,729,860,276,
193,042,459,428,494,484,182,990,327,406,534,643,102,671,175,029,662,824,659,
773,547,958,688,997,188,726,924,368,623,923,162,604,369,965,284,856,397,079,
706,169,511,782,097,097,948,794,061,827,557,950,220,575,469,465,563,132,668,
582,017,973,967,333,965,693,380,872,880,784,071,778,119,256,699,915,040,508,
807,632,352,294,311,146,719,937,761,467,398,997,644,857,922,663,690,147,480,
737,703,429,049,767,453,766,242,043,881,446,383,233,686,918,075,146,210,432,
074,291,881,502,986,077,426,768,110,410,317,945,234,765,725,648,910,442,614,
779,302,160,868,778,292,761,318,357,894,517,624,725,526,643,170,386,706,647,
916,824,824,227,095,155,324,464,169,142,003,892,875,368,425,312,985,367,097,
008,847,945,802,512,548,679,068,707,217,114,528,376,633,598,518,193,509,357,
244,923,395,531,011,152,954,941,544,995,494,287,936,297,503,910,596,830,014,
891,472,170,578,107,650,242,137,242,856,589,187,534,929,349,588,531,808,759,
116,690,611,785,776,427,141,876,409,725,340,933,748,827,018,031,801,306,425,
047,303,923,503,874,658,851,946,932,479,372,774,427,311,248,513,051,869,283,
534,136,574,041,672,744,794,400,245,198,762,761,893,096,525,863,441,337,874,
442,927,731,954,043,500,355,863,427,323,362,282,259,537,329,232,453,425,501,
495,263,374,200,656,805,201,285,513,275,864,058,524,467,846,373,952,720,396,
379,753,128,228,569,757,435,827,138,239,730,674,406,301,442,085,446,985,949,
273,267,383,479,885,846,020,473,175,429,112,954,020,478,430,157,426,816,127,
972,449,914,533,887,200,215,229,742,636,559,520,636,045,962,937,607,709,492,
216,658,647,112,149,241,063,308,277,534,607,516,937,436,424,985,316,877,314,
998,627,381,713,407,172,945,860,875,954,432,923,453,830,379,165,349,847,712,
315,156,107,990,549,656,208,490,018,568,552,550,393,919,910,311,473,172,176,
877,029,461,163,895,178,860,779,041,151,773,097,337,699,181,399,062,006,992,
697,804,426,424,541,767,297,613,610,073,575,660,201,010,772,314,778,734,619,
199,389,906,033,264,208,432,880,454,771,390,690,435,471,884,536,114,872,193,
659,166,176,423,913,794,832,947,078,063,997,902,988,446,477,324,903,452,632,
827,660,304,199,543,215,161,351,522,110,388,649,451,696,984,929,938,449,384,
848,545,892,921,219,964,762,997,579,626,358,548,271,243,027,084,606,620,131,
597,204,659,484,398,900,204,186,888,429,394,162,360,199,613,899,817,645,418,
107,736,520,478,857,613,968,103,736,255,998,400,299,299,314,767,041,920,284,
308,878,282,305,180,275,371,867,004,871,185,972,319,759,386,435,917,899,719,
259,948,777,382,503,285,494,054,264,405,507,483,218,087,246,131,956,212,687,
755,773,697,779,504,811,089,274,649,916,444,892,235,993,779,066,960,231,841,
760,583,279,446,876,348,936,838,075,094,082,144,045,010,202,859,676,666,462,
867,418,777,437,208,705,525,999,145,184,391,186,492,430,947,664,693,744,748,
307,046,328,101,888,376,475,619,834,659,901,192,442,897,479,959,870,082,854,
893,676,198,156,873,698,650,325,486,633,714,795,665,385,188,497,857,670,541,
087,392,966,372,559,295,184,197,936,847,116,974,410,859,448,257,373,124,612,
614,884,892,569,934,306,883,674,752,936,415,543,108,375,866,692,993,084,210,
025,255,531,621,384,845,693,965,279,675,996,021,242,857,195,485,187,305,917,
292,049,745,133,247,785,041,702,050,396,750,950,695,149,395,361,989,986,597,
226,295,376,620,709,529,957,001,170,974,752,364,820,318,625,701,515,126,535,
374,238,847,140,596,008,128,815,968,103,196,985,750,064,554,492,828,527,605,
229,750,540,498,583,967,847,505,993,760,851,782,021,575,813,657,161,299,609,
427,279,565,710,371,397,331,780,377,340,021,918,867,196,445,233,340,369,807,
340,910,151,710,734,087,890,040,554,219,242,784,608,514,180,460,733,655,446,
105,989,524,959,942,409,728,900,243,264,858,658,110,391,302,648,356,435,578,
582,276,304,882,987,732,070,630,344,196,667,935,448,655,268,206,364,245,944,
760,020,087,446,200,877,929,884,420,641,089,616,623,884,484,373,525,196,626,
494,611,035,389,763,881,417,603,448,227,258,817,708,368,947,552,545,864,899,
209,082,053,412,427,654,587,489,695,304,452,583,637,538,227,541,690,917,897,
696,998,050,443,774,517,226,187,779,878,892,870,856,119,394,043,703,446,032,
459,263,087,465,521,548,493,034,422,899,385,684,246,292,001,416,785,307,468,
291,899,631,381,845,134,507,719,313,967,031,299,029,426,629,521,847,412,307,
141,349,178,224,676,402,409,824,966,286,553,735,811,776,821,590,883,403,462,
106,344,717,530,482,044,652,723,099,436,658,070,780,563,441,387,280,820,111,
683,491,296,068,498,348,203,078,185,509,405,724,205,523,481,226,640,033,361,
812,209,976,339,261,348,871,204,915,632,311,566,375,797,728,231,866,756,540,
756,226,965,831,337,636,795,863,013,144,801,387,045,076,505,261,385,468,525,
008,915,364,662,518,623,934,224,584,675,886,683,376,003,483,049,822,882,837,
331,734,662,337,891,655,681,471,872,242,605,859,340,540,320,406,850,555,027,
824,262,168,556,834,032,641,308,010,264,938,928,574,076,913,602,422,692,669,
584,386,282,260,408,861,028,276,136,853,768,126,860,468,566,917,413,232,758,
418,423,932,363,958,355,910,067,475,013,216,583,391,221,852,476,859,500,612,
856,877,321,264,214,311,997,167,430,512,567,295,171,218,545,254,593,908,764,
951,125,599,150,584,462,701,958,572,466,189,054,959,570,446,695,626,562,266,
799,601,623,317,145,383,991,469,745,545,237,444,607,747,323,971,655,283,910,
962,596,019,628,398,038,384,698,704,608,057,374,401,140,900,139,893,993,125,
390,600,009,137,814,154,846,379,979,993,779,185,055,394,950,342,035,544,883,
570,284,493,896,057,150,246,823,548,214,173,478,236,276,052,582,960,765,832,
328,336,203,519,630,546,932,686,408,248,869,018,339,640,207,354,463,415,720,
304,882,834,057,254,587,225,148,872,345,818,346,987,302,159,680,288,583,836,
955,724,395,206,575,877,844,138,256,804,424,917,087,028,569,283,770,956,064,
747,443,957,256,176,286,124,832,591,948,436,357,533,626,406,329,812,822,170,
402,058,195,760,075,334,200,404,254,764,181,025,443,149,945,788,447,941,996,
025,465,525,662,257,079,527,308,952,460,924,412,004,573,006,471,267,830,761,
077,029,767,464,899,695,755,981,713,556,557,959,729,013,217,650,096,256,835,
031,201,175,807,051,838,384,918,925,718,323,342,323,642,366,763,232,978,859,
223,181,833,547,628,885,516,680,749,380,583,580,758,577,535,163,160,888,634,
720,410,816,417,932,147,244,703,203,125,173,203,145,469,815,221,926,265,201,
868,335,849,551,212,302,368,476,182,202,198,608,769,676,976,775,856,189,289,
101,813,315,061,304,840,756,718,317,258,690,780,925,445,858,738,591,489,834,
648,546,725,712,808,852,722,399,968,373,227,585,169,815,619,545,890,574,429,
239,513,001,173,463,433,580,897,268,941,841,547,219,512,221,076,947,143,676,
236,848,770,583,963,882,244,463,025,506,935,486,580,864,830,400,363,062,098,
657,794,991,343,509,024,884,895,732,201,803,819,338,715,012,300,852,871,529,
257,774,472,660,572,993,963,090,452,313,074,020,393,613,613,707,848,709,611,
609,221,572,318,093,078,834,168,394,054,296,212,741,887,664,520,404,336,698,
421,375,968,058,487,430,975,829,887,247,722,830,080,260,265,734,834,815,084,
003,462,879,477,467,419,627,181,260,511,569,065,982,037,842,849,686,933,924,
826,449,429,164,454,143,950,933,193,932,975,914,665,542,522,520,315,045,279,
863,322,547,447,713,746,599,283,286,105,312,768,714,636,219,521,851,828,669,
807,932,225,739,195,460,685,259,515,821,424,695,201,725,811,991,455,046,054,
368,964,455,147,632,160,127,430,979,438,643,623,661,857,620,080,971,020,551,
179,297,245,087,322,967,714,686,662,508,053,822,955,944,862,234,354,723,311,
130,068,620,898,611,687,406,465,463,446,743,956,395,134,317,443,321,337,716,
795,521,640,954,511,137,626,956,420,697,303,077,174,202,905,484,186,089,741,
451,231,170,782,488,800,758,803,445,130,892,476,393,496,150,414,428,034,692,
316,188,327,367,246,281,085,934,019,917,756,525,842,201,574,043,578,595,411,
312,005,034,828,442,374,572,677,521,065,592,508,926,927,866,701,856,405,848,
816,753,456,876,273,431,728,856,903,917,146,829,714,084,796,869,307,474,363,
001,558,945,522,565,708,954,895,201,783,303,402,093,988,010,451,340,047,599,
396,939,594,661,069,543,031,378,939,271,860,540,881,044,519,729,240,338,511,
550,766,144,046,785,744,866,232,611,960,816,709,732,185,027,738,888,383,347,
545,852,651,075,202,003,684,593,675,491,329,329,112,733,650,272,680,009,707,
882,732,228,494,928,703,325,404,017,385,587,638,420,291,836,860,680,924,126,
653,512,083,099,642,559,116,098,064,362,243,442,575,493,053,910,866,074,076,
477,705,996,250,509,561,072,283,936,207,158,351,147,706,077,859,478,745,566,
354,877,158,682,554,952,430,433,294,461,788,818,550,229,805,947,139,429,114,
921,661,753,224,860,631,705,726,692,471,124,351,227,931,429,013,897,064,713,
742,439,184,714,365,863,881,178,080,780,757,490,195,258,651,989,497,037,185,
970,546,956,946,768,444,018,655,196,843,008,828,950,981,907,692,095,550,463,
436,387,573,966,943,618,245,648,731,638,100,789,121,212,878,679,375,233,905,
870,086,838,266,283,135,384,207,876,002,583,920,787,122,518,583,461,835,961,
045,816,123,137,959,868,272,834,029,050,752,795,711,791,040,313,535,743,909,
103,609,172,539,244,370,307,597,565,475,370,189,168,651,083,943,308,122,122,
957,163,917,589,591,274,129,306,506,253,035,661,773,185,530,135,374,921,112,
995,746,550,528,139,965,800,824,777,841,878,562,103,087,289,595,308,527,874,
966,332,573,447,870,124,449,141,267,217,774,718,166,546,873,721,404,949,759,
539,854,727,165,753,430,255,549,373,668,486,202,627,547,746,263,937,499,195,
008,322,842,616,456,206,572,433,937,902,311,894,273,939,567,903,798,420,163,
620,446,488,982,545,760,833,852,965,643,440,928,449,006,696,560,536,922,475,
391,933,883,755,346,564,220,349,384,179,906,134,242,128,627,884,129,845,677,
658,732,179,366,228,954,377,159,000,366,825,493,186,096,558,324,290,586,624,
022,538,249,081,057,096,912,026,364,294,686,434,056,111,671,951,282,381,335,
114,205,301,909,260,646,101,137,628,935,775,531,472,304,443,143,331,944,024,
457,028,657,856,880,898,106,489,088,481,110,616,638,198,840,794,813,711,144,
135,681,019,760,276,603,747,079,204,630,150,051,399,982,613,186,279,722,475,
072,358,283,245,173,650,583,089,826,221,977,509,902,634,385,436,228,250,801,
008,802,704,122,658,987,662,560,985,910,654,576,413,440,576,567,453,211,392,
565,627,194,825,332,627,595,568,472,052,633,125,135,779,506,697,278,393,851,
997,218,023,957,657,902,093,755,744,386,478,575,717,685,881,900,941,369,545,
216,625,755,217,020,831,685,831,787,589,493,989,484,173,873,048,972,776,964,
596,944,574,292,862,895,561,482,211,735,993,043,248,344,375,543,782,807,198,
649,251,098,871,253,023,932,933,210,023,165,610,554,251,378,826,158,300,601,
878,912,582,681,186,641,535,551,092,283,126,396,083,568,956,596,186,416,829,
760,596,775,410,541,169,174,419,363,871,413,437,114,294,438,092,315,458,566,
122,310,024,544,472,612,306,470,814,625,367,307,626,187,777,213,746,169,071,
374,512,322,528,641,840,799,842,858,997,612,879,264,909,525,237,334,962,945,
127,047,098,438,799,958,500,480,723,538,613,867,790,695,643,146,203,561,080,
400,931,651,083,269,283,955,854,089,934,547,409,108,705,553,393,205,035,997,
759,642,525,660,227,342,745,924,010,935,914,064,281,517,071,325,464,016,714,
110,428,763,460,231,645,131,715,830,039,453,798,895,920,588,780,219,598,936,
987,168,882,595,301,995,452,287,753,726,014,138,665,687,928,487,572,559,464,
383,405,161,389,939,431,283,045,156,283,726,286,781,704,963,362,081,221,474,
789,209,603,057,998,687,567,423,834,353,402,941,790,867,731,695,892,463,744,
066,134,598,967,346,115,063,789,796,108,645,957,318,333,229,950,222,220,868,
422,016,169,353,505,614,939,156,151,652,531,168,181,212,004,338,270,919,537,
606,997,069,254,925,216,988,613,145,300,475,266,452,011,878,191,223,305,866,
371,236,177,480,989,635,235,502,625,180,055,617,710,970,765,444,215,668,694,
830,571,895,342,278,219,643,781,598,578,918,064,369,246,117,261,217,703,049,
228,562,768,070,308,759,111,666,127,165,690,099,733,805,802,240,033,337,684,
991,808,638,676,631,226,560,721,579,727,123,873,614,942,050,210,658,026,190,
107,352,017,620,677,285,308,519,547,330,442,051,119,655,187,495,030,494,696,
439,337,666,597,012,758,303,755,234,606,782,804,910,692,578,702,107,155,470,
732,018,106,717,844,260,026,487,393,480,441,926,318,566,879,418,419,464,961,
210,057,953,569,417,208,250,336,213,086,387,880,042,828,703,351,499,162,474,
140,418,960,927,432,858,525,757,333,248,268,713,267,912,411,655,487,073,557,
228,686,389,327,501,072,508,253,523,750,402,364,944,605,932,076,058,117,868,
768,297,086,611,414,298,355,511,132,705,007,937,007,685,249,172,463,991,995,
422,998,431,203,192,492,378,620,090,493,879,721,325,741,522,106,268,465,803,
330,020,129,356,447,659,242,471,823,612,152,543,932,844,177,415,490,240,031,
439,357,167,209,721,491,044,283,755,657,850,021,111,920,419,726,589,576,749,
181,919,837,569,134,738,777,650,916,574,591,956,693,725,505,503,392,507,368,
333,743,710,104,306,588,627,651,763,237,596,454,626,551,853,338,542,067,400,
894,265,920,311,025,629,896,785,117,054,957,919,184,218,429,669,064,176,350,
528,950,507,272,823,314,946,478,439,412,457,114,434,647,322,593,179,402,335,
336,141,002,746,349,823,465,951,845,873,711,764,667,300,385,678,172,974,997,
821,951,413,987,303,215,422,762,687,554,648,888,196,147,329,027,064,508,888,
146,708,350,467,056,194,147,079,211,200,127,560,053,177,500,548,994,859,373,
598,493,698,899,753,589,372,261,222,184,028,387,674,256,481,097,887,746,071,
565,186,003,607,561,783,758,374,271,764,824,344,704,039,735,190,280,757,255,
112,470,446,278,742,627,312,799,906,767,579,136,715,297,747,070,675,352,781,
387,246,968,706,235,843,863,699,554,023,896,153,128,390,484,398,927,415,897,
890,618,441,716,801,786,774,052,954,149,901,770,278,998,800,315,201,114,192,
514,809,852,813,511,047,010,696,577,776,425,047,384,932,623,289,922,159,654,
126,833,106,372,674,084,465,141,357,739,127,035,689,993,153,769,484,609,149,
334,974,523,786,471,922,066,660,384,795,707,310,208,197,000,287,351,134,765,
513,208,247,047,858,359,105,297,899,894,492,838,237,640,493,488,047,977,437,
812,810,303,279,265,742,545,098,637,134,827,499,808,062,301,598,429,654,990,
284,578,074,413,000,484,740,666,825,934,183,007,276,701,199,612,270,743,219,
342,407,250,991,984,611,666,631,671,459,421,459,550,649,178,634,858,815,352,
152,561,707,770,682,312,099,567,576,938,417,862,483,016,204,440,936,069,489,
536,611,649,006,080,550,783,517,293,668,208,237,187,278,804,376,611,913,937,
266,991,449,109,773,470,885,850,148,136,154,283,788,618,996,431,607,025,187,
888,890,067,715,863,193,217,156,137,611,121,373,672,891,117,939,092,356,090,
233,827,287,986,770,939,161,187,980,869,145,430,128,095,233,936,383,729,804,
264,829,961,033,072,142,547,950,493,167,303,754,623,389,594,792,236,088,890,
711,354,008,688,530,432,608,887,088,111,008,103,129,704,609,047,709,052,577,
364,945,544,020,542,087,843,429,985,234,775,118,453,345,218,906,295,908,549,
483,333,552,145,341,950,668,656,307,973,643,849,175,298,384,550,943,551,086,
528,084,945,918,304,455,189,723,945,947,035,032,328,732,343,064,569,742,666,
376,802,339,026,405,620,409,254,616,674,410,684,991,913,168,960,870,263,993,
381,900,274,369,334,299,235,934,830,282,841,403,357,829,776,094,193,410,297,
498,690,543,015,876,517,147,549,026,876,550,766,721,123,100,497,222,734,690,
325,974,169,136,141,364,717,677,695,523,057,634,067,427,609,528,704,792,615,
325,222,353,848,301,503,555,286,240,063,176,041,472,717,182,968,775,629,248,
983,114,430,135,893,037,453,658,034,393,408,232,335,136,950,216,218,302,995,
221,800,443,248,075,294,668,793,757,324,736,436,170,608,926,986,156,216,551,
282,583,324,927,493,727,441,898,044,598,270,532,695,418,094,701,167,204,429,
404,643,859,123,427,934,983,755,327,794,163,109,774,729,268,050,375,162,152,
838,733,591,890,906,595,405,708,658,729,291,540,702,679,026,605,029,593,608,
223,079,433,933,088,810,717,565,937,752,401,336,320,467,360,947,604,387,072,
680,894,333,132,838,436,165,147,762,318,584,770,371,317,058,992,187,558,614,
918,064,804,089,801,716,438,273,855,063,246,271,284,998,675,542,885,526,316,
055,779,652,576,284,075,555,742,578,164,984,608,810,585,419,812,472,912,537,
590,320,624,178,509,119,811,243,113,687,091,636,572,402,091,173,640,084,378,
988,607,251,321,732,559,998,280,352,781,248,355,600,973,889,718,410,137,700,
439,700,087,805,751,871,523,321,074,752,746,272,510,566,819,302,787,935,977,
630,531,603,508,603,891,212,518,609,749,344,806,518,402,259,645,752,329,228,
719,087,794,902,678,724,848,459,816,051,639,705,258,588,337,095,596,871,787,
835,839,691,395,340,080,877,158,627,197,475,370,217,184,093,893,772,593,706,
634,460,824,355,955,676,097,321,282,265,507,330,029,189,761,134,437,838,958,
304,134,107,017,736,190,883,908,146,283,581,720,385,732,612,241,200,961,268,
577,937,613,642,258,947,213,121,830,472,019,353,338,802,084,479,499,225,867,
629,578,141,205,342,338,696,273,257,356,411,125,840,881,206,732,852,220,842,
133,300,235,591,684,899,527,519,077,781,397,257,514,525,958,018,795,251,803,
194,135,340,912,159,134,411,271,817,616,089,695,504,528,593,985,759,650,375,
812,500,059,290,909,615,872,743,421,069,245,789,437,657,330,214,506,384,671,
179,208,852,050,185,665,652,377,492,457,218,315,160,261,272,446,247,368,010,
531,660,643,147,192,566,809,471,158,507,065,055,639,463,618,386,596,745,491,
286,598,258,819,326,027,156,372,630,983,283,387,250,303,230,140,300,461,378,
550,670,120,840,362,385,351,161,715,899,340,511,489,028,054,652,300,967,170,
860,190,892,683,825,477,960,265,405,441,363,782,294,709,514,694,113,081,533,
588,527,467,202,239,741,431,974,045,937,063,731,376,033,541,016,586,758,693,
239,161,372,248,836,109,662,656,271,765,017,384,154,330,873,040,183,650,719,
001,991,383,704,514,830,160,473,324,080,739,862,378,291,326,931,727,657,273,
129,094,277,780,887,780,445,514,298,801,295,159,545,206,108,172,813,811,353,
693,531,554,526,229,616,061,090,650,175,569,185,177,423,054,331,377,625,222,
973,028,498,086,219,835,583,973,259,128,515,265,393,483,882,072,678,452,611,
942,115,279,131,264,602,782,458,969,633,252,956,010,085,959,889,053,317,257,
838,757,368,417,991,301,230,981,319,726,408,331,238,297,506,156,740,110,173,
020,004,469,537,162,572,849,843,477,909,517,857,038,588,976,958,985,465,257,
695,446,056,907,964,105,965,051,629,998,329,025,074,140,910,215,868,945,320,
258,465,179,173,511,382,304,115,656,753,464,805,025,877,837,040,781,567,658,
743,692,042,283,961,684,037,753,650,910,079,338,777,785,084,291,719,711,370,
117,325,915,906,012,257,355,593,140,340,722,481,563,267,074,576,900,962,067,
077,486,332,904,139,583,134,613,179,469,057,511,842,505,637,379,147,719,319,
204,442,843,228,696,697,690,866,197,110,031,653,031,430,519,061,087,906,320,
136,124,063,342,943,756,728,819,158,891,605,590,529,491,583,488,578,924,017,
266,566,360,493,844,720,426,087,628,548,806,911,987,174,416,870,068,775,399,
489,446,108,125,643,103,979,171,287,008,657,757,773,437,042,512,417,599,977,
163,108,596,823,322,557,226,312,139,328,647,087,906,555,120,461,882,448,758,
917,120,270,911,780,916,841,766,009,401,490,856,639,742,862,095,582,128,035,
111,984,905,183,117,376,702,489,727,416,954,628,218,991,613,636,777,246,825,
718,753,893,451,570,940,510,907,891,579,448,189,175,439,628,906,205,083,863,
425,227,945,342,780,257,809,826,403,816,892,657,583,719,047,415,452,902,659,
293,275,660,813,571,093,012,178,897,639,741,976,741,914,952,231,036,301,028,
463,186,766,610,057,971,843,998,295,417,800,739,157,001,186,132,620,467,458,
954,391,648,767,167,483,379,116,642,502,474,011,041,178,359,673,636,987,403,
046,023,614,052,192,690,221,005,053,831,197,161,146,831,680,631,052,696,548,
704,368,076,899,677,379,495,889,918,518,928,082,047,277,075,671,960,448,122,
489,492,669,962,529,716,479,753,783,721,757,403,325,379,714,722,493,167,803,
654,718,133,342,944,306,032,190,794,189,939,976,912,628,872,729,248,594,907,
599,280,454,953,125,760,470,679,633,507,663,956,536,393,331,227,787,818,215,
233,462,979,784,434,034,219,094,330,403,778,918,855,984,678,194,063,065,424,
047,419,480,076,573,280,865,512,120,695,053,258,978,319,814,331,910,970,080,
650,086,311,418,279,447,071,776,093,067,466,732,944,922,502,235,047,831,522,
555,459,476,779,136,891,275,474,319,273,545,447,794,315,287,616,284,894,129,
702,393,592,629,217,791,086,227,710,673,458,723,341,415,159,470,416,157,580,
485,685,497,368,339,457,251,122,552,513,742,168,741,890,276,596,894,141,446,
118,813,344,256,025,722,222,739,230,027,910,559,178,005,280,449,976,549,313,
126,532,173,685,110,503,340,835,707,033,265,228,391,428,676,419,633,766,329,
475,338,506,102,068,529,465,798,866,219,937,499,034,306,792,451,190,454,674,
123,983,330,057,313,108,739,062,278,505,785,217,744,297,382,141,456,942,624,
632,850,967,471,430,125,379,478,409,052,824,255,237,063,839,177,769,102,342,
512,306,321,309,538,709,189,608,116,197,513,186,213,645,857,581,438,733,505,
830,746,705,806,551,857,894,872,920,372,804,171,059,550,073,640,196,776,725,
785,927,132,256,734,340,260,261,042,212,022,156,925,486,321,015,156,133,814,
953,411,089,285,820,129,384,456,370,757,704,978,214,791,834,780,871,221,136,
322,786,008,337,432,409,752,483,863,139,380,673,081,606,927,879,308,598,894,
405,987,602,929,904,202,116,893,210,693,578,574,243,719,700,317,369,550,668,
343,449,439,323,439,890,017,751,854,570,322,061,705,543,920,110,587,170,809,
923,889,668,418,532,728,780,948,878,091,337,307,401,558,420,575,313,689,871,
105,261,536,710,603,620,386,693,089,788,844,163,577,342,350,654,536,424,586,
567,721,580,835,105,127,928,870,946,055,147,517,533,141,276,922,566,344,223,
980,389,920,076,882,634,995,794,193,541,053,697,915,255,536,118,216,337,468,
618,566,415,291,829,585,225,448,144,424,057,334,035,581,671,753,266,663,019,
039,315,241,086,384,470,626,330,826,256,669,038,432,213,202,815,220,097,206,
211,418,455,657,885,858,705,808,547,729,668,701,111,582,612,792,770,408,480,
395,292,418,125,174,518,411,870,909,018,959,003,683,620,591,684,174,826,974,
530,792,974,652,124,043,030,597,293,333,512,045,703,813,648,027,273,579,043,
449,468,665,698,872,848,158,002,055,474,741,147,377,842,235,483,258,329,487,
230,105,553,922,707,800,320,613,186,889,937,057,312,369,992,971,685,812,812,
775,608,441,776,506,939,490,406,247,047,929,209,229,935,002,466,299,034,687,
477,095,422,293,508,440,280,619,318,017,699,857,659,664,649,321,158,410,306,
109,971,659,526,208,627,303,730,724,650,022,490,177,145,322,891,510,225,815,
507,961,070,654,198,417,773,008,334,234,146,112,926,400,720,750,968,962,596,
999,269,418,072,746,381,216,199,600,284,622,144,505,547,628,406,265,860,643,
355,616,808,938,623,530,698,319,315,416,395,266,682,735,661,995,123,362,296,
737,602,703,193,498,796,346,504,585,866,611,323,765,762,696,889,263,970,707,
634,461,692,975,488,260,737,497,076,734,245,260,971,509,883,312,528,788,630,
388,123,995,356,523,865,871,519,906,950,605,766,175,542,779,240,359,143,128,
493,762,697,212,106,969,317,541,380,257,755,628,682,439,181,962,231,852,073,
237,027,897,930,088,614,640,977,155,665,247,878,894,208,742,533,741,158,134,
330,660,021,069,494,794,794,990,708,991,177,730,760,849,209,123,663,227,550,
521,603,111,202,922,461,573,058,747,872,352,072,580,427,458,068,254,999,840,
511,852,777,992,515,256,424,376,597,803,051,258,550,677,325,357,271,899,470,
109,000,576,442,932,423,704,181,797,888,070,076,699,092,999,040,039,601,831,
012,132,631,050,427,151,771,097,487,307,690,396,445,500,866,797,339,920,263,
374,686,397,392,369,237,792,491,279,838,573,877,157,485,703,702,917,776,625,
704,109,700,097,459,497,709,152,270,764,033,784,291,435,883,522,813,135,943,
297,091,955,568,338,690,810,947,307,656,532,883,363,914,962,319,391,702,238,
388,324,534,679,895,819,674,000,852,600,922,664,954,296,836,401,030,705,602,
231,698,675,838,035,412,393,550,437,310,489,997,607,935,923,015,847,900,813,
435,611,821,867,994,730,522,278,414,736,727,887,745,279,430,100,955,334,284,
408,776,492,738,732,374,043,671,808,352,087,816,948,907,972,658,274,666,543,
267,427,401,436,129,360,141,386,632,102,126,245,275,060,701,819,200,696,670,
486,400,011,523,083,624,662,264,416,468,053,508,947,101,453,597,352,179,790,
442,689,088,672,618,120,907,711,648,495,566,125,317,569,434,577,720,819,077,
650,060,243,536,713,213,633,736,749,315,625,815,285,326,707,813,846,193,233,
755,044,716,115,743,647,716,032,936,074,379,926,524,599,083,745,513,947,161,
974,419,012,675,528,056,280,114,892,265,806,566,501,366,243,132,348,709,698,
537,594,768,989,650,439,046,327,308,697,936,980,280,879,061,587,391,891,395,
917,227,265,638,074,821,494,643,233,929,164,533,245,131,694,006,289,371,803,
446,795,754,156,175,753,030,976,919,179,848,225,088,705,935,570,175,010,329,
313,394,879,342,875,724,765,563,307,956,423,874,435,236,640,547,452,314,138,
506,607,732,116,817,429,928,217,155,229,686,480,050,674,328,578,710,755,455,
092,300,779,869,978,955,005,956,103,999,095,585,311,236,816,591,737,209,420,
887,729,909,375,194,722,907,767,012,822,480,621,802,221,621,529,777,506,278,
128,661,101,420,924,930,059,280,299,951,348,812,819,259,169,690,580,929,865,
694,898,056,072,722,964,915,595,110,400,636,284,688,443,337,399,762,134,643,
789,926,710,531,810,522,514,114,981,545,578,291,037,592,256,956,353,050,096,
314,973,074,880,244,332,336,344,410,345,488,868,184,185,614,146,020,069,750,
713,802,214,433,565,308,812,758,131,475,498,099,446,905,084,372,812,129,267,
410,402,148,777,703,821,655,680,855,511,837,302,238,095,166,583,759,102,270,
084,734,765,069,774,438,119,384,000,437,713,029,745,511,021,460,583,571,715,
539,838,287,048,347,028,670,365,295,068,418,531,626,649,907,912,704,583,531,
457,332,991,562,332,810,974,843,204,733,530,273,934,333,196,846,786,714,801,
069,727,133,981,333,885,627,258,030,936,660,726,081,825,812,473,257,574,557,
130,229,314,007,011,695,714,326,415,723,860,777,683,251,545,396,740,748,212,
756,991,254,463,071,903,103,428,769,047,410,488,403,219,890,099,507,395,728,
270,664,965,458,866,581,575,584,408,329,535,025,739,030,154,317,467,445,695,
951,107,260,010,632,317,037,194,489,032,363,545,497,398,065,158,550,052,563,
557,271,045,752,888,518,699,701,073,764,943,901,569,968,384,855,937,801,335,
048,783,222,822,943,745,846,939,389,976,044,877,902,667,235,201,805,706,725,
872,736,429,135,433,020,444,282,655,982,214,891,478,367,048,393,867,776,788,
499,113,281,948,277,213,743,718,187,724,780,959,436,659,891,961,988,300,779,
077,745,766,804,981,224,882,563,421,018,879,040,004,306,311,861,727,322,911,
770,107,086,722,524,172,895,114,233,068,927,616,964,475,974,133,277,039,687,
984,889,466,330,731,659,072,300,191,038,302,503,172,491,710,890,265,634,546,
709,744,563,190,241,722,738,917,035,869,894,654,744,074,652,633,525,180,268,
904,870,249,645,342,560,406,548,855,691,219,041,539,212,784,751,521,876,504,
235,131,155,298,420,137,847,310,630,644,673,643,064,819,989,753,493,250,196,
676,548,271,754,844,115,593,376,105,660,932,680,453,648,383,277,327,345,352,
344,246,093,254,217,588,264,997,936,810,091,632,687,330,432,797,950,591,001,
177,811,575,530,479,999,203,658,992,164,952,133,974,665,798,462,432,519,982,
107,467,087,676,330,901,441,538,685,407,610,068,567,444,963,655,953,704,858,
188,822,794,078,979,403,718,847,699,166,742,774,303,845,473,749,348,568,201,
713,255,260,723,644,660,206,710,772,600,982,364,144,053,009,911,976,091,811,
238,696,234,687,042,313,434,889,790,919,030,350,335,145,934,156,138,506,301,
423,948,435,245,645,190,183,530,456,750,023,654,979,873,399,273,533,593,262,
343,394,727,183,827,604,120,226,822,548,452,802,965,844,853,862,055,805,927,
869,467,067,906,515,465,958,264,267,653,280,539,395,272,868,206,144,752,906,
222,057,037,400,294,992,704,557,706,799,985,139,639,987,271,578,983,122,572,
641,264,392,779,708,782,485,717,486,730,299,023,741,474,452,395,161,320,098,
810,452,917,588,129,552,944,117,129,823,225,922,590,743,324,382,884,868,150,
105,564,118,558,717,610,652,914,067,432,857,103,647,554,109,374,128,687,475,
719,551,988,404,745,747,427,601,034,059,591,620,941,049,894,857,513,340,482,
638,164,932,895,885,563,698,413,889,275,283,035,622,920,025,541,845,998,850,
014,774,197,730,213,402,811,651,394,562,920,315,534,965,898,817,724,543,876,
832,753,706,642,402,767,187,285,338,121,640,485,307,820,670,273,301,898,191,
176,090,850,525,185,338,401,071,963,269,353,347,154,687,664,024,651,489,572,
480,674,109,289,059,844,410,594,760,393,257,607,433,136,131,527,746,421,548,
537,251,597,584,804,440,338,988,533,096,891,950,402,670,433,098,056,555,476,
069,663,822,729,155,969,442,732,828,519,765,907,428,236,218,973,611,982,955,
223,442,507,288,663,416,885,598,542,426,474,160,569,608,190,286,675,184,791,
477,944,491,796,705,663,153,538,035,476,191,692,420,836,733,690,359,933,980,
972,618,503,645,056,862,472,013,979,617,838,548,455,668,192,852,130,919,406,
530,595,652,470,806,524,595,209,116,731,230,412,338,144,057,973,078,546,286,
207,905,002,470,958,600,025,553,628,933,752,837,668,277,954,544,816,221,056,
365,280,412,381,287,729,287,727,957,307,291,248,869,321,544,423,929,914,054,
716,750,217,137,817,315,267,968,777,273,497,507,633,175,147,967,776,984,622,
391,468,351,488,240,183,688,643,483,508,012,190,134,201,156,163,164,253,688,
279,322,018,358,841,305,352,431,783,786,199,022,131,464,182,141,326,301,010,
511,433,918,171,486,234,133,125,281,753,717,645,126,537,013,128,864,055,553,
298,076,476,951,778,455,318,646,566,810,477,570,935,307,043,715,372,887,693,
347,317,549,305,887,521,170,661,695,644,056,320,755,453,532,003,879,024,570,
476,958,186,213,343,197,264,322,254,687,335,645,012,719,395,651,481,092,600,
688,817,288,087,316,660,384,925,456,475,072,303,028,831,044,070,273,415,806,
594,711,924,735,211,655,483,100,183,141,329,761,856,084,782,921,542,830,694,
212,021,615,640,202,924,052,435,879,768,272,384,603,102,769,809,518,247,114,
496,893,827,102,708,098,546,592,302,348,847,419,166,674,326,432,049,625,130,
204,515,962,734,547,777,476,464,246,975,298,181,835,856,772,390,406,748,127,
991,681,549,248,819,435,397,760,918,387,715,839,897,764,355,136,527,001,214,
545,221,778,859,264,685,020,590,375,514,208,322,588,817,392,208,754,888,367,
261,146,888,553,339,963,599,793,324,905,968,311,482,376,108,507,199,526,363,
246,054,558,731,559,960,836,225,964,803,469,194,553,542,901,035,780,351,196,
511,000,530,186,522,174,719,387,745,516,266,559,701,711,440,248,572,138,384,
253,509,481,686,220,343,253,296,779,977,879,450,575,915,590,082,372,909,441,
295,587,819,931,143,258,431,975,563,649,453,628,718,275,233,047,885,296,303,
078,966,434,490,555,653,121,657,205,447,604,590,937,277,913,312,397,454,013,
891,338,865,586,148,855,540,057,983,889,818,516,938,424,225,774,855,873,853,
422,804,819,574,980,574,751,984,740,080,279,159,961,124,402,925,894,493,643,
647,611,576,043,455,360,235,829,530,488,040,693,345,374,897,738,417,251,969,
270,801,191,747,816,739,755,381,425,701,554,424,069,895,435,208,842,515,040,
540,366,225,079,617,573,418,634,676,625,968,071,442,230,701,164,910,292,099,
940,307,251,948,582,145,998,039,995,992,328,766,948,702,117,603,488,787,449,
534,846,411,955,364,708,430,246,623,470,980,157,079,942,884,864,152,392,365,
748,632,715,310,443,420,384,626,111,386,930,467,598,935,396,578,440,052,712,
274,636,717,924,962,153,189,202,799,994,674,478,560,022,602,902,970,348,179,
132,934,001,797,082,906,222,061,204,255,979,530,471,480,285,142,645,764,277,
865,792,704,665,334,213,014,374,916,511,579,993,837,770,261,350,814,184,753,
450,680,836,627,720,278,182,406,107,742,069,106,165,025,911,895,260,770,728,
514,446,061,081,192,992,672,396,403,631,253,125,177,551,086,682,728,552,387,
781,347,719,055,267,739,125,391,376,615,242,796,091,496,895,471,626,202,129,
717,279,373,060,581,414,067,452,345,809,402,147,432,017,987,977,827,177,144,
633,276,602,628,885,935,883,154,820,290,394,556,836,645,017,808,189,864,879,
986,233,578,819,691,225,545,033,598,578,490,425,832,190,679,710,455,427,291,
791,716,802,360,863,193,722,284,261,210,825,606,386,968,453,213,976,219,418,
564,181,703,209,684,404,007,695,353,190,366,351,270,176,288,348,625,205,871,
521,815,784,339,878,969,714,584,352,625,813,177,457,524,898,611,178,196,233,
587,881,407,664,102,713,568,735,229,699,556,659,265,692,713,725,388,843,803,
765,932,705,552,595,167,278,554,786,924,591,331,519,300,777,541,627,531,824,
348,843,963,803,293,604,561,901,138,505,139,995,896,491,037,102,668,677,042,
454,050,359,576,038,867,967,964,341,604,127,605,483,151,254,969,085,890,569,
284,291,470,493,592,789,030,822,784,739,008,766,002,615,195,635,750,866,943,
618,551,142,983,839,146,576,641,599,007,649,568,925,942,128,591,057,202,819,
747,181,541,098,258,703,340,398,579,717,675,308,001,589,866,327,293,884,786,
589,333,094,564,394,243,527,267,460,506,625,055,650,689,845,468,433,099,509,
491,665,504,096,950,322,049,806,576,218,828,321,574,048,239,743,140,939,653,
604,741,304,152,569,312,811,786,304,468,887,641,984,714,624,488,589,751,837,
371,157,514,953,012,801,140,627,354,703,800,867,388,573,601,395,429,619,093,
778,370,957,236,225,667,469,591,113,255,030,344,659,562,221,827,297,793,107,
348,798,356,792,471,177,656,228,774,200,090,010,519,557,151,720,089,477,011,
265,525,370,900,348,736,006,140,699,445,562,821,958,318,717,337,445,570,320,
115,248,979,833,552,230,576,042,771,381,208,233,180,858,013,019,197,696,154,
933,356,780,680,638,472,957,807,976,492,940,135,624,505,425,891,539,834,470,
972,927,064,029,119,189,070,750,047,746,580,133,139,083,551,800,003,904,366,
758,039,205,846,780,440,505,646,965,098,998,774,619,349,383,465,917,640,201,
910,471,166,892,562,800,746,318,805,086,991,213,525,080,716,717,093,238,175,
133,404,106,902,278,116,458,992,309,747,299,568,891,755,678,563,107,357,103,
498,021,781,225,666,301,610,329,798,557,979,791,683,365,758,384,327,578,419,
140,927,512,305,763,003,951,467,759,339,678,448,511,377,681,437,972,056,458,
115,265,157,083,886,126,620,793,455,589,142,367,007,209,503,707,772,072,279,
734,114,469,617,616,542,418,113,849,966,387,636,287,066,590,143,872,904,130,
300,464,099,086,210,504,889,653,490,600,327,996,898,861,226,746,512,197,493,
736,154,725,909,323,300,341,951,601,926,354,110,185,985,558,961,896,025,049,
769,357,507,964,801,093,632,560,932,708,836,608,995,540,900,170,991,705,701,
898,325,633,407,431,805,609,806,009,409,137,686,960,191,216,839,385,553,769,
769,159,273,591,792,772,695,087,320,773,647,698,842,374,124,974,525,260,302,
988,060,754,327,523,085,065,769,111,841,108,043,625,118,719,593,307,100,116,
059,608,161,705,641,918,641,060,064,154,175,194,796,302,870,457,234,854,391,
576,714,477,546,684,189,486,560,496,660,303,821,795,757,650,731,104,515,506,
967,056,669,551,773,857,610,322,256,730,339,668,851,890,969,076,709,237,281,
834,626,758,293,261,912,995,087,876,647,344,565,388,070,042,089,235,600,714,
021,396,951,518,424,239,456,534,210,699,971,193,240,221,792,963,256,580,229,
590,810,409,029,445,654,946,058,376,907,331,619,622,525,222,065,399,915,339,
409,308,528,232,941,234,069,349,262,107,301,018,433,660,836,093,330,318,862,
918,977,399,417,392,167,055,188,005,934,355,791,017,531,300,843,996,313,575,
348,683,540,918,413,228,777,724,454,614,769,520,730,424,320,673,927,108,707,
932,744,195,144,959,269,545,018,700,009,484,997,645,817,832,301,576,917,173,
041,561,355,600,672,498,903,603,503,650,497,429,501,487,655,298,804,868,073,
330,817,100,116,128,865,113,414,111,773,354,393,468,004,221,145,448,821,523,
858,059,762,804,389,696,424,808,425,177,853,017,360,790,968,740,980,229,627,
921,005,461,804,709,461,123,722,604,358,384,363,222,328,477,685,413,715,683,
130,799,512,948,189,384,953,252,481,617,938,119,186,434,344,023,457,551,428,
675,336,203,858,607,527,624,536,882,308,232,265,704,200,198,996,310,075,084,
799,667,938,854,353,584,502,633,259,505,360,413,181,679,768,859,801,762,816,
557,270,747,792,083,282,210,560,696,625,139,152,045,433,455,554,251,354,705,
757,492,542,097,121,068,421,423,573,992,601,763,069,788,817,829,597,086,697,
159,779,708,412,539,824,315,628,302,975,097,694,076,153,753,129,652,904,430,
511,130,928,060,197,845,119,683,913,023,148,062,701,281,196,788,551,831,018,
049,280,808,091,048,240,048,653,147,388,872,373,005,088,524,041,501,852,351,
280,561,265,703,954,482,619,158,697,211,602,319,685,339,139,264,848,757,933,
910,952,635,320,995,917,818,682,458,856,853,678,824,042,989,488,450,710,492,
661,364,381,557,749,291,862,189,990,673,650,021,953,295,425,050,159,785,612,
453,164,478,848,255,039,008,990,185,587,498,705,777,374,005,390,845,234,329,
521,044,171,010,701,767,820,746,373,531,805,212,837,767,458,797,030,714,703,
527,263,522,104,871,336,190,426,213,626,671,352,163,307,613,762,487,476,009,
792,058,023,410,149,635,041,647,770,949,859,367,213,390,906,788,399,434,220,
551,988,839,851,547,141,614,244,072,609,932,258,155,151,988,285,363,933,725,
962,046,195,507,828,512,962,190,374,291,192,875,181,038,972,543,136,908,111,
552,509,342,989,257,354,782,029,476,998,203,687,704,358,501,067,780,327,504,
651,898,614,934,169,084,899,919,091,351,873,835,675,915,185,963,127,489,181,
988,004,277,363,647,432,938,930,677,638,732,620,202,338,158,152,914,023,742,
543,327,772,704,223,633,872,640,872,685,689,277,978,592,809,096,026,900,560,
241,000,127,704,250,829,335,764,860,833,783,392,341,616,875,667,162,456,469,
129,304,084,677,145,733,132,388,302,615,885,524,148,166,946,128,143,636,969,
568,597,799,041,888,935,887,561,310,955,892,899,798,798,305,180,228,628,347,
812,342,213,702,954,961,938,948,870,876,955,379,266,858,460,237,100,155,657,
339,320,319,139,474,818,353,113,264,666,815,246,511,631,769,175,016,858,573,
107,912,498,077,228,462,285,393,173,902,175,584,711,420,838,262,903,551,200,
858,908,213,288,968,536,346,545,032,799,893,519,232,963,916,878,426,584,668,
201,498,288,557,174,472,411,023,293,997,992,578,285,972,062,095,965,372,501,
996,204,345,532,794,594,528,450,772,307,993,314,124,017,830,613,944,793,705,
404,488,461,488,515,291,955,760,611,269,412,845,039,629,422,191,206,759,238,
020,961,375,781,912,366,162,088,747,752,136,649,555,970,151,685,882,785,993,
692,480,760,738,902,915,019,981,589,245,851,390,435,897,351,358,050,213,283,
763,964,112,303,965,864,712,666,684,576,846,334,011,788,844,448,301,763,149,
310,261,704,559,550,423,811,479,928,858,752,603,879,695,182,803,999,832,748,
042,544,557,452,827,423,520,563,252,508,860,089,368,782,146,559,601,720,421,
045,731,294,537,909,377,695,094,043,629,669,678,758,855,850,354,272,551,739,
730,214,093,080,998,794,006,109,920,105,046,252,498,999,670,858,395,684,025,
817,509,713,380,032,388,392,240,666,686,325,423,127,912,236,751,351,789,547,
126,280,056,951,679,591,211,148,672,314,819,121,530,369,731,109,434,656,176,
404,466,874,689,813,022,633,834,247,187,496,338,482,649,693,318,067,463,279,
728,752,756,600,216,522,345,284,900,499,853,098,785,880,194,066,556,592,419,
695,216,048,764,922,049,602,872,435,733,502,352,551,230,811,730,304,569,274,
365,065,778,435,371,474,195,207,796,846,033,037,110,948,193,942,393,015,424,
593,513,555,404,771,135,083,146,460,163,762,540,167,225,955,958,317,704,775,
098,262,481,674,023,429,901,102,241,707,127,619,491,835,735,668,400,235,092,
436,089,466,490,192,507,875,747,451,489,469,962,208,423,038,456,571,213,693,
710,907,842,715,085,765,306,943,202,691,137,075,652,805,819,644,198,762,983,
325,058,651,077,388,852,063,643,423,652,009,900,775,818,460,482,344,591,808,
240,560,909,030,416,730,881,505,466,654,633,240,286,516,405,403,850,045,950,
646,577,536,617,722,044,481,471,658,178,103,771,020,799,875,656,800,189,117,
169,933,792,203,594,918,963,737,547,388,117,901,147,852,253,312,589,196,141,
836,436,633,399,427,049,278,644,353,490,156,058,683,422,413,475,075,071,550,
237,307,410,697,647,444,398,771,581,072,210,332,441,682,696,346,681,701,853,
498,857,700,645,072,822,942,574,744,710,038,120,813,792,899,411,431,759,766,
483,005,487,964,381,200,675,591,580,106,738,769,573,908,791,241,848,546,423,
750,937,377,755,009,107,163,990,078,675,750,170,897,966,971,343,841,994,753,
612,065,146,136,846,130,278,005,509,463,103,969,326,554,819,683,718,584,100,
911,784,118,294,899,390,403,783,701,161,560,573,765,552,426,543,094,613,822,
227,954,367,753,338,375,297,813,462,681,476,806,138,780,675,219,842,126,108,
810,861,576,386,353,081,960,556,549,906,585,335,913,446,201,793,191,591,889,
261,411,575,831,511,404,378,311,546,124,454,618,480,926,214,033,481,354,948,
201,318,709,173,990,197,751,718,990,760,891,248,651,454,963,962,403,138,736,
097,357,638,693,494,712,166,682,993,811,494,105,520,379,777,100,100,398,417,
810,432,554,176,786,042,082,852,516,490,828,085,641,564,107,165,989,082,656,
598,965,820,071,276,234,399,909,664,974,339,932,495,069,278,388,555,177,473,
095,530,987,862,618,433,559,258,306,014,906,568,162,315,987,527,297,756,049,
817,996,308,040,861,253,446,994,509,094,282,763,262,936,356,415,116,783,502,
827,715,079,335,787,732,089,273,371,070,957,064,798,881,028,565,404,649,540,
097,556,047,707,672,029,686,410,568,262,182,308,706,205,087,334,520,729,708,
794,623,205,164,122,007,511,857,581,448,444,415,802,355,076,326,642,315,360,
619,402,058,482,709,169,251,162,749,805,483,746,020,985,918,102,346,554,031,
972,144,295,005,977,669,109,745,393,144,616,456,768,722,842,261,425,431,971,
927,029,215,064,502,442,287,555,880,938,639,838,493,689,968,434,126,279,694,
407,451,683,582,027,266,659,496,536,386,416,275,552,195,605,904,020,569,367,
990,002,670,433,204,545,185,825,602,432,813,706,270,011,778,035,391,330,675,
556,003,586,586,223,852,604,360,818,098,668,887,647,544,733,259,039,849,529,
127,988,275,274,227,766,303,131,586,445,375,340,065,940,903,684,094,034,375,
542,847,908,200,780,513,573,914,632,431,113,557,602,498,201,803,735,266,128,
852,885,794,849,005,060,964,092,648,810,795,925,886,678,886,844,767,132,645,
978,263,999,572,814,601,001,730,431,660,545,475,885,128,438,911,098,571,409,
305,257,453,694,052,805,694,966,134,786,282,400,353,182,553,631,460,303,929,
465,509,424,193,764,067,235,363,503,477,228,626,775,780,984,979,438,374,947,
067,595,791,092,978,788,711,143,067,657,706,727,598,132,976,723,278,615,029,
659,754,557,025,942,117,150,280,540,360,930,912,689,756,159,863,297,481,089,
184,462,740,542,878,062,470,204,846,319,757,490,855,431,588,105,385,051,437,
689,090,397,437,913,311,031,146,455,040,726,839,628,134,389,987,468,798,207,
452,751,249,061,527,365,937,235,895,706,211,136,589,839,857,235,855,546,992,
221,059,134,173,910,415,998,889,716,263,417,648,310,204,256,759,503,715,851,
917,888,875,636,015,477,692,047,032,748,594,982,606,914,360,172,869,399,002,
077,042,312,926,788,927,671,165,896,701,870,865,130,683,309,126,707,087,344,
750,945,720,679,921,504,138,232,213,701,635,759,090,743,661,548,038,751,431,
303,795,490,573,869,869,248,533,075,829,987,037,392,886,227,459,754,264,840,
091,433,603,157,981,756,096,374,722,900,335,662,596,125,276,377,252,636,140,
855,651,267,578,709,310,747,205,710,901,359,542,187,284,603,047,523,225,662,
282,721,811,799,144,696,458,621,472,384,415,279,204,160,450,822,403,883,864,
542,963,018,958,614,335,121,399,794,960,003,011,134,335,527,371,040,696,315,
146,678,096,724,619,284,671,878,971,923,542,196,630,428,419,826,650,646,350,
624,348,394,598,241,478,994,738,180,014,170,390,004,271,176,005,186,473,861,
513,977,096,373,878,728,372,287,759,641,524,223,165,513,334,094,463,838,103,
325,221,841,912,507,859,311,683,538,902,158,011,880,393,185,976,273,167,483,
608,895,487,008,258,118,995,422,127,097,323,092,283,238,782,733,628,701,404,
772,567,417,030,079,478,822,944,518,852,715,644,504,778,249,809,110,207,299,
627,327,018,657,000,468,762,711,461,408,656,252,578,839,662,746,077,464,316,
522,316,156,421,413,793,583,522,752,775,917,287,994,732,977,958,618,153,426,
327,556,585,348,957,924,039,096,911,392,375,436,599,097,867,864,857,439,343,
967,869,142,576,441,416,502,848,700,989,605,023,691,464,390,050,673,061,782,
772,792,869,441,270,227,414,769,643,694,332,781,581,482,061,455,066,903,078,
365,684,595,869,765,298,769,420,224,976,210,981,208,938,112,686,129,732,403,
333,539,635,824,948,905,881,872,884,559,590,306,285,319,546,263,446,773,370,
638,950,540,832,952,729,139,814,184,447,657,089,312,415,297,760,217,817,185,
301,467,222,983,802,169,676,296,886,895,533,677,162,197,756,461,679,771,638,
565,139,333,329,942,402,152,666,840,541,428,002,495,977,273,292,002,988,801,
444,150,481,901,944,988,908,525,356,913,647,317,254,732,627,599,755,632,665,
796,883,802,681,808,367,426,551,413,640,728,199,034,740,564,948,593,885,262,
820,432,725,531,765,045,563,406,609,089,468,875,651,808,452,416,504,369,538,
850,303,072,509,558,652,324,529,647,246,816,843,196,962,047,674,124,180,172,
418,815,568,919,376,830,728,264,478,130,090,726,660,466,355,855,558,160,581,
165,987,244,561,389,233,764,212,660,293,831,110,632,867,391,379,792,986,651,
478,532,230,369,304,239,983,948,849,753,896,176,503,435,898,611,727,918,402,
661,040,649,166,760,754,236,740,200,839,109,734,212,405,880,546,716,345,943,
885,637,953,582,962,689,493,452,913,955,223,883,036,188,038,182,254,938,175,
640,650,228,984,204,178,147,152,200,367,356,031,216,123,484,033,016,125,944,
629,380,949,443,561,750,762,580,140,943,444,540,982,637,369,857,562,229,513,
457,273,388,378,328,600,380,156,296,628,324,877,589,862,684,740,443,060,755,
235,098,096,142,800,255,589,700,152,688,945,761,815,834,185,672,735,406,719,
183,201,424,429,791,504,098,961,091,853,900,717,098,814,593,707,919,312,750,
842,988,994,171,202,680,048,148,786,655,423,238,738,997,441,951,820,965,423,
331,838,117,572,998,136,833,997,300,295,530,136,094,273,453,658,420,871,616,
483,516,943,763,867,289,736,110,880,881,576,925,202,098,231,367,103,064,871,
459,920,865,244,327,844,376,390,047,919,676,312,544,236,189,862,088,941,728,
187,214,889,166,346,547,270,919,053,450,669,525,794,490,896,793,477,359,258,
719,813,681,869,431,899,933,524,845,935,939,870,951,667,991,083,278,876,003,
401,251,218,093,718,450,995,177,091,955,672,875,572,012,488,086,434,060,719,
791,584,819,072,564,184,260,560,306,322,313,471,093,993,400,694,642,798,400,
125,441,258,077,387,462,933,990,597,767,886,528,798,091,209,687,340,454,358,
608,596,206,397,231,463,099,280,031,856,995,810,995,879,280,140,455,761,535,
972,612,600,410,237,843,709,938,635,833,312,050,779,288,189,563,250,472,562,
805,982,752,385,023,869,220,914,791,378,028,462,637,832,455,056,863,201,938,
758,132,837,156,311,963,180,345,697,283,003,904,481,244,645,632,045,676,942,
040,178,714,679,045,429,517,263,184,635,925,272,571,471,380,722,683,396,647,
601,910,941,123,638,315,814,430,439,269,520,464,422,030,187,378,516,046,829,
675,259,524,915,932,497,342,514,064,028,907,494,387,220,727,696,501,518,491,
693,098,238,569,917,729,367,853,284,071,997,976,064,696,589,866,344,982,292,
434,936,516,312,920,076,715,812,981,204,648,952,083,345,744,550,423,819,642,
948,165,919,886,448,964,488,137,157,678,251,071,330,107,721,506,716,848,513,
603,387,376,666,779,277,904,983,811,969,753,757,920,799,171,886,031,370,898,
803,399,000,127,495,930,955,065,470,446,352,813,750,728,637,961,168,226,527,
538,038,016,914,112,813,874,956,069,053,855,199,050,140,820,352,417,294,130,
112,222,034,941,726,540,411,176,578,260,359,521,215,549,992,328,744,891,846,
857,509,684,300,345,260,457,683,550,921,023,443,571,671,728,379,682,395,116,
425,885,355,259,388,741,433,259,451,592,723,170,681,371,727,121,460,310,977,
410,471,976,363,849,532,679,299,784,684,877,154,355,058,104,624,293,878,150,
696,782,994,476,016,306,834,775,351,047,984,024,420,143,580,114,984,781,928,
776,266,770,543,588,987,667,732,668,010,091,858,353,388,915,052,934,365,077,
777,830,935,207,574,617,662,594,392,029,335,660,713,562,257,165,681,227,490,
547,002,593,391,116,184,298,681,026,759,146,790,390,730,902,996,301,609,739,
206,817,864,878,148,464,339,778,158,455,561,489,331,131,886,342,451,777,719,
185,778,660,045,629,380,336,548,944,229,626,998,636,920,561,377,610,809,362,
242,001,821,199,338,890,002,921,662,544,854,831,554,525,016,989,047,300,809,
798,253,446,798,109,672,881,605,346,326,099,158,784,033,023,874,268,342,420,
892,767,374,390,217,194,305,722,652,837,348,184,659,952,765,138,455,351,062,
752,199,299,549,367,427,022,001,607,185,629,403,857,328,535,967,389,660,889,
229,171,252,341,088,319,715,459,330,696,112,804,549,593,226,620,081,845,592,
975,287,753,585,846,424,600,758,190,651,864,893,296,769,448,148,567,971,705,
681,642,129,388,888,857,638,711,355,550,809,097,635,213,975,271,164,019,626,
751,898,059,427,803,192,880,199,727,941,468,413,337,759,688,302,955,344,286,
211,019,536,639,289,241,774,704,880,246,723,808,314,342,302,166,416,003,109,
568,604,472,442,516,894,476,856,896,460,092,073,322,175,514,593,959,933,094,
271,943,737,869,907,356,680,828,458,530,994,058,554,917,243,412,185,738,513,
824,982,195,035,739,826,216,500,081,957,282,194,226,665,145,887,661,993,886,
463,171,271,615,273,815,111,301,870,059,889,349,266,845,679,163,534,432,847,
953,377,289,208,106,800,504,312,011,450,872,321,052,244,710,766,754,312,023,
237,538,119,495,770,315,566,683,432,108,110,977,923,116,657,188,356,694,888,
951,851,328,791,086,565,589,600,017,968,809,001,197,696,380,085,040,561,948,
998,053,754,790,238,778,058,708,831,463,379,851,843,371,157,149,019,429,415,
183,841,794,600,320,097,728,787,162,750,144,946,695,745,567,595,065,870,595,
785,075,331,028,488,662,556,380,691,975,543,171,061,216,287,289,394,182,783,
090,855,873,904,567,576,332,860,521,901,957,220,171,675,389,787,305,136,565,
229,588,767,305,391,967,088,066,760,741,435,925,694,898,117,088,664,650,403,
443,267,914,125,342,700,565,412,896,047,082,482,657,513,600,518,985,366,775,
057,879,170,206,504,983,732,470,414,043,816,102,696,368,653,269,407,835,357,
151,680,375,496,164,766,141,463,305,729,697,674,416,000,732,687,813,426,020,
128,948,093,645,699,559,652,706,297,429,351,294,061,327,872,805,521,110,474,
032,299,636,738,290,080,439,084,060,906,153,603,734,626,473,288,359,098,567,
484,626,117,454,135,920,499,613,427,040,573,013,597,945,931,235,201,975,662,
662,968,492,872,212,276,878,781,227,908,421,306,352,070,183,574,473,100,926,
705,687,810,898,946,932,706,796,336,758,261,465,797,542,479,720,884,270,155,
974,004,144,956,293,049,727,125,438,514,607,105,049,611,259,035,775,777,826,
529,100,711,874,219,149,409,812,193,474,581,851,893,926,380,431,289,444,722,
836,804,792,358,139,316,869,757,073,477,767,149,801,509,631,352,597,440,342,
334,367,138,365,967,397,230,673,961,457,315,837,933,905,587,263,367,037,955,
978,220,371,027,686,526,408,882,530,023,760,195,725,092,335,193,530,773,643,
442,856,232,170,073,983,409,464,384,261,969,021,241,051,619,372,074,939,196,
595,229,723,329,530,009,849,386,915,118,750,222,826,244,316,773,907,328,720,
822,470,858,466,024,891,780,074,654,323,135,547,046,996,721,586,142,443,341,
019,010,435,845,717,527,279,616,996,270,725,749,290,706,851,806,238,605,420,
558,177,689,415,749,481,982,131,946,986,223,991,310,068,707,503,579,736,050,
013,531,601,830,800,239,434,493,243,016,114,292,962,186,759,415,361,903,834,
464,722,266,996,464,307,146,091,373,630,307,100,787,918,504,268,394,279,832,
240,285,115,091,915,366,450,535,544,379,732,723,026,545,230,339,096,515,666,
563,623,580,145,252,787,748,660,695,757,976,730,237,689,152,199,567,807,560,
672,289,270,373,297,293,334,110,842,274,615,057,182,950,399,687,407,714,491,
768,784,599,483,147,292,520,969,891,652,141,658,674,699,346,506,670,641,119,
197,413,822,295,939,561,311,827,987,204,889,401,747,170,137,676,430,853,433,
302,971,989,108,326,160,460,928,476,356,077,746,621,847,874,836,315,793,450,
019,651,525,010,495,190,841,487,939,947,615,807,565,553,006,471,831,615,364,
217,902,209,295,845,705,575,865,460,872,975,798,451,422,232,120,095,346,989,
751,454,176,261,822,132,351,105,460,352,246,486,707,853,879,630,557,337,807,
952,352,729,595,379,728,389,666,488,496,978,115,884,359,102,629,784,742,880,
271,869,542,091,991,238,625,963,206,411,315,977,668,687,450,223,477,221,244,
527,468,329,067,764,917,479,778,177,587,532,559,892,921,966,404,703,582,074,
555,834,708,372,845,979,004,010,693,722,424,947,848,802,020,588,576,903,497,
858,913,424,354,801,846,150,098,606,905,612,672,921,787,157,494,215,652,833,
105,964,365,738,365,394,074,624,645,283,042,122,464,240,498,198,517,929,270,
111,055,905,319,524,317,291,090,655,198,753,869,521,335,324,400,973,151,650,
805,852,573,496,297,454,323,791,153,962,841,703,107,944,707,877,764,121,774,
287,404,141,320,359,623,067,418,430,600,987,163,911,065,554,440,764,244,046,
813,933,533,435,724,539,557,846,220,567,538,105,433,627,565,630,545,611,896,
820,721,658,060,819,923,715,664,830,228,726,772,197,115,709,494,651,454,210,
159,601,710,581,888,346,387,079,065,339,959,355,081,181,423,193,271,780,934,
861,584,858,565,653,896,078,055,811,169,002,534,819,986,655,040,018,465,403,
909,949,910,424,421,469,421,394,844,204,630,703,381,838,789,692,732,947,142,
192,118,900,876,725,901,690,030,962,650,187,671,123,816,856,339,938,689,318,
185,480,006,125,373,143,079,105,944,847,009,749,671,039,663,267,453,880,938,
848,440,892,325,595,409,993,053,080,632,872,532,351,905,027,910,112,775,039,
284,609,422,704,505,846,298,815,086,622,843,742,930,890,318,692,391,989,678,
790,686,684,612,064,524,107,561,674,263,041,355,821,232,278,627,473,067,096,
336,062,143,946,419,022,488,781,603,624,301,749,010,206,435,691,374,539,155,
777,419,892,791,129,455,829,953,841,048,366,840,785,985,012,628,712,009,591,
634,798,957,119,525,887,996,945,750,641,548,235,692,300,209,301,612,249,848,
432,893,139,733,952,308,137,884,898,962,622,844,796,212,119,995,371,786,850,
282,020,456,559,598,042,577,111,759,321,520,913,866,727,763,334,805,683,694,
579,337,118,476,550,871,097,929,127,195,154,395,941,072,253,548,469,223,514,
998,763,914,815,592,491,318,653,280,371,367,968,300,587,542,708,556,768,567,
552,598,741,067,716,808,298,477,549,877,608,014,031,749,707,438,748,270,613,
062,710,553,902,438,739,638,260,159,003,177,471,818,972,203,807,646,530,842,
790,546,018,304,955,979,627,396,802,235,861,088,449,734,013,653,522,258,369,
984,016,283,359,834,069,369,131,707,788,846,914,097,247,088,351,272,199,281,
401,085,785,150,997,193,776,074,989,744,632,609,892,098,990,262,467,538,594,
706,480,303,446,568,821,424,235,131,758,310,367,853,212,247,482,151,316,237,
045,739,803,633,762,454,469,176,364,746,486,768,215,015,639,682,814,879,588,
517,390,830,981,982,669,296,638,793,301,576,930,030,802,048,426,020,433,918,
407,135,615,240,992,450,363,581,670,876,696,072,625,538,138,228,102,895,878,
212,419,236,157,339,545,508,765,308,314,029,246,289,244,776,122,697,261,012,
950,560,693,063,556,809,782,324,264,746,051,181,907,754,383,701,187,949,933,
959,911,563,539,210,082,550,453,141,117,523,682,342,267,445,580,146,034,771,
458,538,327,698,905,137,379,012,550,181,199,431,603,973,942,490,825,964,197,
669,342,142,180,030,610,322,830,810,471,765,081,907,023,725,333,118,960,850,
474,864,702,047,098,064,739,131,914,980,669,644,991,351,576,155,292,303,490,
596,691,065,574,853,239,094,219,560,875,718,501,727,922,814,427,147,794,613,
152,567,695,695,559,319,518,693,379,128,644,091,635,811,541,655,032,770,838,
326,538,133,410,602,780,333,051,908,069,175,351,521,460,861,905,800,075,928,
566,500,974,793,566,682,729,207,402,793,118,899,810,715,085,869,359,949,139,
456,916,753,252,186,082,438,415,935,878,809,990,009,007,934,368,940,543,564,
758,679,885,235,185,068,331,447,991,293,162,551,638,098,637,880,812,460,960,
716,205,374,183,864,016,486,225,560,781,115,824,794,883,039,099,080,301,636,
832,498,347,075,764,654,444,041,633,728,190,190,920,871,658,871,291,257,405,
253,415,977,781,863,291,019,001,003,547,808,334,220,523,472,016,956,482,567,
799,586,374,782,644,387,220,979,997,211,173,226,557,654,759,123,869,101,114,
303,192,106,222,075,312,420,831,278,191,644,908,585,580,456,991,640,108,436,
792,020,658,831,249,299,446,166,280,708,500,984,086,686,929,812,661,033,166,
973,199,683,303,617,248,633,394,121,889,213,186,794,306,759,555,220,335,313,
954,777,058,205,915,912,288,874,230,659,808,497,828,364,376,414,006,501,949,
006,012,337,729,470,911,383,420,476,673,499,297,958,366,073,447,302,990,456,
458,197,759,831,989,147,374,638,485,074,510,474,866,635,889,934,543,337,496,
525,143,873,340,561,741,938,391,032,115,135,369,700,526,015,165,867,341,854,
051,362,958,592,467,701,220,826,870,288,891,404,859,765,183,707,754,461,038,
573,889,766,271,457,477,146,203,642,414,115,516,513,753,276,592,134,002,704,
440,495,331,524,408,742,363,147,341,143,087,628,506,093,317,539,758,085,620,
623,361,197,225,551,613,839,536,881,851,084,704,847,714,822,418,251,811,178,
170,935,101,918,457,326,074,825,499,425,219,204,639,453,630,809,411,524,017,
380,205,480,838,266,241,988,415,373,412,301,601,461,156,273,580,520,420,283,
849,922,265,873,785,527,455,325,737,135,729,530,803,344,808,920,014,019,077,
153,786,821,355,386,070,436,238,405,689,349,248,259,627,157,770,091,126,541,
679,852,964,226,498,248,354,097,218,335,901,858,082,228,237,046,775,599,802,
276,382,696,886,699,918,357,831,547,624,467,778,460,911,323,473,131,500,841,
144,675,091,611,821,766,470,158,696,298,813,206,599,272,121,591,004,732,062,
486,695,182,921,248,565,701,582,663,595,122,037,870,199,735,643,281,233,891,
630,586,470,329,680,681,630,677,497,429,845,998,058,239,804,985,326,500,657,
744,091,941,364,526,624,453,656,505,673,772,893,976,432,188,517,412,432,026,
094,581,033,751,623,387,024,293,495,681,012,155,342,809,589,961,213,247,487,
636,420,062,571,406,865,936,305,120,710,465,804,918,990,606,676,038,762,465,
880,182,854,327,688,624,428,074,920,621,966,295,081,362,827,179,704,355,431,
965,996,728,339,017,360,769,812,695,001,640,921,008,584,588,736,660,955,291,
660,224,817,639,118,578,050,849,663,615,766,531,262,680,055,417,809,658,095,
847,744,403,881,325,724,328,652,514,002,825,223,957,236,283,527,971,013,285,
763,627,751,645,067,502,156,267,848,064,885,133,482,635,606,493,027,747,566,
936,851,212,180,795,344,845,963,048,194,340,157,588,856,351,470,635,502,266,
024,939,590,577,815,373,357,099,506,113,431,093,596,486,565,194,454,824,144,
754,811,357,656,659,139,693,047,868,962,364,301,763,617,114,471,832,091,393,
410,360,560,969,318,113,608,937,567,980,005,475,905,167,202,534,154,334,482,
609,197,412,294,522,994,070,251,544,515,174,777,262,960,259,982,202,005,717,
619,087,147,747,153,178,949,259,717,154,808,084,992,568,508,079,324,119,487,
950,808,589,744,335,816,038,746,813,357,578,674,919,953,925,465,436,734,599,
851,350,829,192,557,566,723,814,449,849,807,663,824,217,628,449,112,860,198,
848,863,420,855,317,993,963,434,943,104,520,750,682,957,562,297,508,187,657,
906,626,239,018,820,684,404,900,713,915,501,547,197,890,224,676,764,901,340,
361,629,069,825,632,107,911,792,999,387,486,744,894,304,778,619,453,014,687,
741,722,689,857,663,500,351,117,600,179,936,172,165,998,617,982,175,373,005,
845,617,655,494,957,718,810,767,820,813,086,180,268,875,835,278,905,369,509,
246,118,830,416,801,232,336,779,996,655,267,221,356,898,155,014,592,222,299,
627,396,901,598,571,811,740,080,706,285,093,946,843,009,388,133,743,636,003,
781,863,191,009,908,220,585,278,423,887,765,910,768,338,473,369,247,533,272,
760,912,688,350,745,217,751,626,669,719,896,606,593,368,639,699,174,724,366,
888,331,381,270,071,807,143,434,769,756,958,056,457,730,606,193,212,306,624,
194,428,311,091,265,380,254,469,768,181,685,948,510,122,982,384,627,656,657,
956,629,563,739,530,295,019,042,510,831,960,262,201,204,711,082,828,034,825,
917,442,271,571,663,924,644,434,834,200,186,020,055,849,740,752,207,509,117,
385,984,171,174,632,570,601,166,675,391,091,319,299,452,361,800,876,054,769,
646,216,492,873,266,040,403,210,796,189,622,567,592,708,388,284,362,721,116,
115,461,091,712,703,504,102,098,471,325,766,994,870,115,631,041,932,969,183,
164,486,001,356,280,276,772,153,617,167,882,857,868,878,826,232,058,091,878,
105,177,169,413,172,114,310,193,734,428,593,669,498,636,217,176,682,749,361,
398,607,924,023,057,627,142,348,886,320,119,953,187,840,488,762,774,164,768,
707,296,631,507,327,495,212,982,591,042,306,569,039,905,965,347,592,004,055,
042,797,895,282,974,366,062,311,538,102,863,687,230,123,388,321,041,312,762,
697,848,445,639,347,359,808,748,916,304,010,604,197,187,640,192,347,819,816,
545,558,017,780,590,545,034,326,016,764,320,197,907,125,856,939,914,035,289,
463,187,574,698,291,194,234,811,751,340,716,701,924,536,268,712,966,943,851,
718,315,632,469,249,208,532,415,828,344,047,297,677,965,992,726,916,214,719,
173,129,037,997,444,681,370,836,865,387,697,127,445,389,025,058,519,898,604,
990,212,321,832,046,396,616,826,705,877,719,351,702,922,852,576,657,627,633,
649,084,803,092,524,974,383,235,947,416,721,396,145,725,160,585,526,485,763,
411,880,390,421,517,451,873,704,259,770,435,339,963,927,825,688,987,481,891,
795,771,835,650,197,413,461,164,397,387,662,848,393,635,695,918,068,643,941,
900,794,054,730,340,905,763,922,614,505,293,124,631,814,596,757,668,896,511,
627,226,472,336,215,151,103,072,649,746,492,349,599,693,503,713,588,753,549,
126,978,186,931,387,978,245,499,945,942,103,060,342,515,991,167,803,761,920,
326,801,573,001,600,289,399,976,229,352,350,141,368,866,354,925,280,441,057,
247,193,677,994,496,435,067,639,830,833,656,544,124,391,141,073,693,374,453,
518,686,787,692,960,513,906,272,483,498,752,033,843,458,191,737,057,750,133,
485,350,790,154,998,110,563,679,536,338,311,215,013,100,698,239,209,287,369,
198,030,669,896,842,219,302,548,382,835,321,022,078,525,343,463,733,639,602,
672,909,784,424,335,621,860,760,618,223,226,107,470,311,874,890,115,294,165,
575,850,655,894,507,118,866,177,269,851,699,359,350,094,597,517,354,240,661,
729,339,590,043,678,686,465,169,785,343,991,535,913,303,681,260,368,089,098,
004,138,524,969,041,216,737,955,531,168,322,575,409,098,655,456,642,646,623,
851,162,032,433,333,129,163,569,847,062,656,879,846,628,951,378,059,844,761,
993,258,605,385,484,849,398,872,673,774,023,712,068,991,527,564,808,302,474,
762,554,477,999,140,072,068,558,735,398,474,546,668,089,092,832,099,964,798,
080,915,951,904,393,970,464,334,724,127,818,274,891,517,569,747,881,385,879,
522,881,695,400,637,258,836,564,195,060,381,824,911,687,153,872,694,142,137,
761,745,502,836,811,077,992,757,847,183,833,940,398,665,038,637,151,098,183,
655,889,902,624,729,093,317,847,881,275,239,908,608,696,410,647,993,085,865,
226,447,487,182,529,290,604,191,383,609,863,123,220,816,619,211,603,777,204,
556,983,067,536,923,635,431,235,180,193,767,324,770,330,712,249,661,987,589,
411,882,061,854,395,764,298,378,498,196,430,803,626,024,306,980,645,193,381,
171,512,818,898,922,083,777,848,248,407,524,416,490,121,849,972,550,075,734,
996,634,720,755,292,460,585,287,441,847,291,207,329,740,691,984,526,497,516,
422,361,540,296,510,431,445,893,212,835,113,581,288,701,530,228,388,128,536,
383,154,213,796,100,996,264,394,318,007,343,061,056,857,725,194,081,403,959,
985,565,850,931,870,849,034,115,284,640,770,426,022,600,536,813,075,305,754,
728,105,907,019,647,325,556,768,803,498,179,976,958,488,936,404,749,043,924,
308,709,001,258,611,012,260,140,825,661,396,445,570,553,495,833,395,060,313,
076,390,787,034,065,850,040,077,563,267,869,931,673,838,888,207,213,329,728,
856,404,433,857,183,885,868,661,610,294,156,626,738,971,098,199,520,338,688,
885,956,692,772,927,831,965,691,500,422,894,498,337,959,562,515,500,578,481,
516,677,805,767,332,810,665,016,756,599,441,716,897,094,020,997,583,952,791,
272,176,034,757,435,103,336,055,229,198,838,490,960,647,474,293,476,139,798,
662,486,918,410,890,601,488,660,421,347,247,063,758,795,160,331,997,211,037,
579,758,710,263,852,205,698,574,204,039,678,602,772,889,662,760,184,766,942,
234,796,774,228,749,708,795,997,559,084,095,119,729,195,973,489,447,835,321,
370,301,991,643,894,297,424,287,377,584,923,387,332,646,899,682,082,667,865,
055,595,660,622,129,532,954,441,932,052,966,021,944,130,911,418,661,810,818,
186,276,575,337,657,791,975,111,753,984,241,480,540,565,624,148,838,850,306,
124,202,929,358,882,153,877,076,713,876,362,600,202,499,146,533,734,795,053,
399,317,051,584,928,629,729,621,364,382,013,409,065,331,569,373,926,404,501,
096,544,080,320,847,520,563,397,517,670,064,215,335,135,270,006,279,347,147,
046,143,626,418,759,800,185,692,396,569,554,581,610,792,369,550,586,838,342,
010,222,437,383,831,911,070,924,080,095,562,404,026,925,434,786,384,246,500,
459,780,536,300,447,599,859,822,650,397,837,556,093,969,049,173,883,762,612,
649,088,224,542,308,228,913,645,248,410,341,781,554,382,558,716,220,712,285,
577,277,936,999,489,788,658,471,289,461,853,066,784,125,869,917,318,224,105,
570,846,240,976,223,895,230,815,596,313,304,965,447,864,823,995,089,812,974,
992,024,262,979,283,511,051,502,187,431,713,788,279,059,546,770,889,109,162,
578,003,694,442,293,522,492,053,522,605,322,613,050,548,703,359,253,479,810,
197,534,434,332,702,976,857,552,012,611,265,400,005,822,506,449,507,270,411,
048,582,745,177,329,037,203,621,111,473,177,730,214,328,411,233,277,117,914,
760,351,467,607,200,833,799,449,367,320,131,102,738,724,988,534,617,685,541,
899,531,403,000,407,171,876,005,602,708,685,329,322,823,750,425,956,844,615,
961,346,864,163,174,168,900,599,977,407,738,645,843,135,763,310,810,508,429,
331,409,587,375,006,654,813,918,824,937,457,705,234,508,267,784,334,544,231,
868,584,681,734,730,382,363,837,847,803,778,226,513,116,400,035,843,675,246,
645,856,992,596,312,706,447,378,108,555,489,788,182,315,822,344,136,821,807,
283,583,931,280,139,677,505,943,038,018,271,464,492,106,342,728,716,031,991,
710,485,024,357,589,398,984,186,646,553,654,749,681,825,422,987,297,270,503,
742,227,834,560,215,312,917,238,429,995,713,140,750,005,549,902,217,607,692,
068,867,388,507,225,864,558,866,591,285,333,415,957,615,365,495,111,087,604,
313,395,048,414,171,264,319,840,295,676,942,603,625,117,083,580,692,915,088,
244,561,449,114,650,600,080,641,494,619,500,340,451,343,928,897,612,197,177,
481,899,374,899,031,471,636,840,593,185,211,875,360,204,433,711,792,948,824,
050,327,572,341,478,992,099,934,228,319,595,163,094,298,094,032,720,572,408,
096,792,899,673,192,328,615,675,486,382,305,564,183,498,995,237,160,017,940,
000,412,181,451,536,933,622,921,300,352,289,867,482,631,187,558,129,245,989,
015,119,468,741,328,399,474,730,919,073,072,932,646,734,180,655,692,691,973,
347,600,711,462,446,362,589,267,147,238,118,844,910,512,120,750,318,288,110,
499,606,044,148,037,562,741,086,682,197,396,183,832,128,897,647,063,367,170,
704,568,830,819,311,181,337,643,729,632,312,725,106,139,460,732,975,099,407,
310,406,831,291,434,250,491,950,724,485,351,731,532,708,853,237,183,352,508,
859,514,871,304,952,755,490,861,641,333,086,799,649,898,341,734,824,034,765,
512,186,301,222,794,117,093,531,405,081,886,449,594,419,233,621,602,631,414,
829,873,644,034,020,438,920,680,937,384,369,269,954,662,533,908,274,802,230,
358,199,676,611,030,711,893,401,770,565,241,587,207,224,463,076,539,565,952,
853,876,367,717,782,003,077,396,351,279,417,706,983,229,112,954,069,035,273,
326,880,288,569,368,483,501,265,045,734,076,435,278,249,280,315,504,380,063,
767,038,399,821,599,210,759,086,789,838,623,388,184,986,697,933,618,959,491,
560,847,174,391,012,566,439,982,790,026,669,887,648,410,851,528,462,529,543,
828,303,232,042,171,753,952,603,713,554,558,506,137,010,286,501,677,834,443,
719,138,502,525,779,410,691,933,494,321,455,301,279,247,594,126,661,319,764,
753,524,880,555,029,975,213,612,564,367,741,289,893,285,510,496,110,922,797,
786,865,925,585,807,009,892,691,253,102,059,668,184,722,509,889,654,716,535,
816,503,048,256,106,269,431,180,414,926,669,791,984,161,490,276,034,542,599,
560,432,651,897,394,693,592,389,536,824,995,064,707,264,488,041,250,349,207,
917,759,093,703,706,461,128,557,841,467,357,265,801,218,362,814,033,704,893,
925,507,261,873,467,219,239,522,546,721,961,461,933,319,380,062,364,380,201,
859,221,950,344,497,787,128,443,364,619,713,971,522,135,000,884,585,329,848,
728,245,482,246,150,443,340,265,737,558,342,343,506,209,676,126,532,499,451,
545,829,475,668,864,112,157,830,711,078,757,253,374,274,755,823,373,671,404,
994,895,010,145,127,003,748,505,956,155,797,129,445,480,696,923,143,273,651,
254,467,470,062,894,320,505,352,296,828,685,044,267,743,668,717,023,658,240,
388,400,136,230,152,757,522,644,601,537,728,260,675,909,873,190,441,684,667,
281,393,824,931,114,503,214,500,002,842,942,145,308,596,976,393,737,438,481,
573,654,290,692,549,213,536,618,785,713,485,081,600,249,137,107,661,328,002,
224,418,630,963,627,570,899,169,497,080,432,904,352,860,611,130,191,795,949,
639,061,449,554,497,487,625,896,744,679,160,195,978,623,207,246,808,403,822,
728,720,298,570,446,366,386,997,043,839,436,261,267,994,952,618,270,423,795,
693,741,952,148,190,754,749,160,300,623,133,362,355,720,626,942,415,016,348,
470,028,526,489,773,999,392,626,215,721,322,931,554,502,060,834,661,890,442,
056,991,069,430,837,152,397,412,863,705,815,544,035,330,330,213,337,437,362,
707,441,867,493,759,822,784,765,902,362,975,148,632,041,787,465,638,000,332,
342,993,391,244,664,835,041,834,655,650,389,195,278,608,394,126,434,118,709,
622,006,347,555,498,818,785,383,136,816,011,566,089,458,003,544,901,976,346,
366,613,878,226,085,916,531,402,680,753,156,766,324,732,388,367,716,105,978,
181,998,849,793,089,900,073,597,771,800,035,596,387,982,983,484,785,050,702,
458,067,005,498,550,951,261,801,205,646,022,502,632,714,327,625,807,517,696,
423,917,947,942,946,468,121,102,304,116,184,101,293,156,228,678,537,967,567,
421,688,667,248,948,238,351,036,194,877,468,249,991,500,769,153,710,712,082,
474,648,642,316,509,805,155,916,967,359,258,767,010,257,848,285,390,623,534,
542,459,265,844,488,035,791,991,461,379,991,014,007,756,718,020,432,780,953,
796,305,438,319,573,073,829,061,274,046,988,878,572,580,486,162,173,985,257,
805,960,226,232,896,283,369,150,564,989,542,261,393,234,115,446,070,147,779,
198,103,174,102,594,483,050,985,088,351,306,824,717,847,648,802,210,446,362,
414,356,414,323,364,324,202,281,306,661,719,522,866,821,985,020,294,006,697,
593,951,221,654,369,845,257,020,125,696,046,332,436,174,429,125,287,095,272,
755,292,501,670,979,120,734,294,516,580,359,865,438,232,751,849,214,851,082,
737,794,817,865,895,076,099,533,928,326,442,505,244,613,934,499,183,032,518,
101,598,288,941,185,723,662,262,800,521,019,274,048,275,422,689,587,276,975,
987,031,283,068,133,546,016,890,674,129,396,875,366,742,950,223,879,276,974,
229,386,075,472,051,495,457,294,647,623,113,990,556,808,050,785,705,523,710,
410,259,727,865,671,381,614,157,274,164,157,239,238,529,840,998,351,357,791,
186,357,029,225,542,627,904,248,384,272,270,289,947,693,966,252,563,412,087,
247,502,000,487,292,512,214,803,095,426,450,528,154,138,981,987,190,296,362,
762,395,994,049,721,569,485,257,624,061,320,437,937,588,945,860,768,279,235,
748,798,427,186,672,632,862,213,816,805,620,505,913,162,379,756,690,428,703,
741,427,740,630,097,522,955,578,718,258,049,106,423,028,405,717,074,561,455,
653,217,886,300,147,520,822,795,846,052,895,603,904,234,571,676,831,527,861,
833,449,000,583,447,969,857,368,947,940,865,274,065,029,410,976,875,757,371,
992,061,931,175,998,353,884,239,574,343,615,147,263,796,118,532,308,824,561,
198,834,891,910,793,573,325,516,574,715,092,632,132,093,335,045,637,651,340,
960,059,478,098,940,737,244,769,565,315,615,896,501,056,267,339,200,498,542,
498,798,807,473,546,797,436,541,738,129,631,922,018,505,952,831,098,347,610,
482,116,595,958,101,259,736,366,267,460,436,290,011,471,614,876,015,464,336,
681,004,636,844,820,853,192,290,810,839,983,985,752,484,052,842,398,668,510,
945,494,256,125,857,487,010,013,582,984,727,907,629,824,069,102,272,894,913,
194,345,467,863,674,991,640,761,278,285,888,401,684,087,674,020,843,262,689,
925,274,046,705,819,439,619,670,713,477,925,171,961,857,751,905,928,798,496,
010,435,530,096,080,545,190,949,873,148,789,394,537,990,477,315,076,407,452,
423,407,809,058,364,637,518,524,967,872,756,141,481,727,843,006,736,175,041,
873,174,007,869,575,061,353,521,849,549,547,654,961,583,526,257,243,946,837,
323,402,414,355,071,875,809,124,910,193,805,539,147,914,349,616,973,941,805,
538,581,192,087,293,893,208,600,548,182,200,411,025,969,135,321,529,894,751,
419,867,382,186,787,305,315,222,263,329,543,555,222,304,601,984,747,232,483,
994,660,430,754,759,626,289,737,489,694,786,421,279,872,549,848,947,220,748,
183,747,928,957,632,186,926,130,565,426,827,228,098,044,102,557,760,820,243,
888,093,499,877,409,598,418,368,097,048,959,660,609,665,813,012,963,245,281,
786,384,345,500,080,222,544,843,887,422,338,673,071,765,941,291,901,496,492,
357,303,533,120,503,770,968,230,899,498,856,352,674,532,494,228,476,100,484,
608,200,820,211,134,731,438,570,290,661,327,243,943,092,549,739,482,699,267,
952,521,688,678,967,095,875,705,999,845,224,028,242,635,138,163,652,320,506,
319,537,433,083,981,205,287,954,018,357,724,544,665,106,269,705,045,749,261,
116,924,894,876,721,897,749,825,964,597,786,757,865,994,751,292,548,544,670,
143,260,885,425,557,774,703,466,420,767,020,264,252,539,346,055,040,146,810,
357,843,262,501,543,734,264,792,010,120,600,770,171,613,417,835,065,569,740,
884,205,603,468,930,734,453,580,965,149,509,388,213,408,109,497,956,963,682,
523,890,029,630,837,508,970,571,797,215,127,977,582,917,572,121,055,273,285,
605,044,160,471,249,566,261,533,731,827,091,739,847,456,528,108,506,966,777,
881,059,904,063,040,538,153,611,068,283,299,153,832,598,863,178,046,314,264,
491,325,082,160,540,371,310,824,599,163,273,526,823,873,251,979,275,446,482,
343,909,238,626,760,152,500,361,393,192,518,152,558,723,691,992,586,604,469,
228,324,285,673,234,537,517,786,292,591,569,033,367,560,128,649,421,750,083,
938,965,215,700,926,093,399,164,362,102,160,938,473,390,252,246,902,511,441,
713,421,597,379,373,672,666,016,863,812,021,195,651,126,362,706,824,069,933,
407,772,213,786,291,560,927,440,257,272,190,281,747,663,199,526,867,447,470,
287,191,141,091,194,840,123,084,082,870,784,996,214,375,115,997,359,857,802,
179,653,156,308,766,108,170,746,638,082,571,548,879,266,458,398,901,703,205,
423,555,596,899,654,172,146,934,139,269,736,270,688,968,720,589,132,332,574,
337,582,221,889,818,936,605,360,549,169,314,296,060,675,773,281,456,427,323,
018,149,435,844,516,516,880,607,216,113,731,521,274,851,207,824,016,825,524,
337,367,823,102,863,519,602,722,005,159,337,806,184,524,157,922,868,735,839,
794,679,311,308,372,451,129,537,308,492,637,302,051,311,941,325,074,827,173,
428,053,523,739,923,403,990,337,277,364,356,427,528,184,930,221,839,293,429,
716,406,406,894,207,205,061,377,964,015,323,039,507,703,033,285,042,413,847,
337,963,173,559,873,048,497,407,009,370,326,301,058,083,204,076,958,095,652,
936,077,600,749,857,734,387,512,125,410,462,985,365,370,563,827,799,190,069,
454,544,775,782,497,731,763,943,509,540,193,997,782,683,770,282,410,418,342,
461,398,427,146,085,787,788,607,123,394,871,428,383,593,350,815,642,065,237,
807,823,529,463,966,099,205,315,996,041,876,362,387,454,361,278,730,444,858,
718,600,777,029,022,332,705,664,705,877,361,730,599,842,276,409,605,927,381,
414,349,968,938,347,667,902,044,604,845,446,960,743,733,902,158,444,577,382,
377,037,217,422,732,579,843,644,324,870,219,098,941,759,726,387,491,865,718,
952,107,006,499,874,818,970,151,613,263,190,232,594,482,428,585,641,793,415,
315,346,544,960,118,322,021,475,187,377,775,998,285,119,056,565,218,321,354,
307,822,188,845,209,888,224,740,922,236,733,680,453,265,354,724,952,822,529,
676,910,399,549,710,602,184,548,649,936,402,290,423,393,065,653,151,780,269,
651,823,089,116,708,931,836,910,984,715,067,598,753,748,351,002,129,855,711,
128,841,510,312,236,361,514,999,154,356,855,853,471,163,110,850,781,220,694,
041,959,712,228,691,840,419,251,227,237,388,073,630,889,755,045,753,363,765,
784,240,472,661,067,628,614,397,009,282,103,907,046,382,780,159,050,835,793,
745,017,485,186,413,853,131,681,021,737,906,581,834,833,064,863,054,932,857,
804,832,457,638,061,833,666,373,971,057,115,908,633,713,064,616,819,648,176,
484,923,181,504,975,174,705,697,792,765,114,452,067,474,953,659,586,771,108,
191,801,840,654,910,009,081,860,018,101,905,188,270,125,239,856,985,448,361,
015,743,312,667,328,562,559,318,309,485,891,301,426,544,186,486,232,926,428,
334,200,059,351,201,535,129,626,639,603,301,943,200,124,435,070,478,136,169,
538,768,770,976,194,006,708,692,160,863,642,363,365,859,611,726,957,940,654,
702,350,466,450,559,435,500,441,487,181,399,444,296,047,728,722,955,075,086,
520,194,648,294,869,168,532,907,412,930,160,960,290,149,336,487,669,248,700,
277,239,492,190,979,762,404,640,996,632,589,821,936,840,458,622,124,352,323,
361,068,464,454,973,598,370,015,664,856,209,862,993,528,361,438,992,451,008,
465,191,048,326,560,180,140,072,358,386,037,542,297,177,926,815,138,440,130,
383,187,203,224,576,254,469,334,526,231,059,548,699,877,506,259,907,732,139,
594,370,513,374,346,807,405,885,817,689,369,299,050,763,010,892,462,900,922,
575,445,949,345,519,900,298,737,045,944,580,217,458,747,933,613,497,434,492,
096,375,666,077,720,946,427,723,701,763,060,349,496,915,941,362,845,173,672,
793,092,212,553,730,286,896,111,635,361,730,015,009,231,225,715,367,159,260,
803,089,089,081,115,773,648,954,723,366,157,577,311,180,279,395,707,453,028,
882,395,610,186,939,081,002,650,155,841,399,826,287,963,492,037,087,098,787,
821,842,463,074,317,874,607,564,635,647,699,404,783,222,877,490,648,651,784,
394,850,840,610,555,027,062,193,881,259,527,872,327,526,451,124,548,053,069,
694,226,383,628,777,842,071,424,015,058,587,189,143,595,368,702,707,133,455,
238,363,075,446,846,325,208,610,490,778,150,423,259,604,447,352,282,633,501,
712,697,941,707,539,395,051,426,900,959,583,954,406,044,708,331,953,970,023,
330,740,468,064,719,855,951,428,163,583,425,396,157,994,075,249,404,896,040,
443,305,524,912,858,415,520,446,100,052,134,509,247,239,468,442,764,286,563,
783,002,741,196,299,765,404,818,818,892,198,430,727,365,954,238,509,050,154,
917,186,827,157,765,079,465,232,265,644,788,069,617,983,415,287,306,944,506,
315,518,755,393,495,511,730,021,673,160,457,357,806,477,009,287,513,394,319,
630,321,623,009,068,681,907,526,910,586,552,828,689,479,668,004,381,137,155,
370,546,665,469,383,493,303,893,294,199,897,894,905,394,429,096,687,823,213,
099,998,100,690,333,622,470,810,678,728,774,490,105,662,013,189,753,465,062,
397,631,627,253,635,151,821,140,203,918,627,390,315,198,125,479,765,784,820,
330,529,406,772,803,637,081,463,572,265,570,016,109,547,262,413,261,431,512,
898,008,039,005,652,481,787,354,751,962,070,830,035,100,023,596,968,792,201,
014,923,469,624,871,125,050,387,870,214,271,356,037,610,275,723,514,854,938,
047,134,447,515,839,593,578,553,455,249,224,611,378,032,828,285,062,740,502,
307,853,486,935,782,413,114,564,795,668,462,102,582,210,725,533,166,483,687,
936,112,030,937,502,435,174,111,586,738,955,287,757,744,362,803,227,739,542,
838,761,011,081,884,992,630,229,007,998,242,833,376,595,400,790,778,984,654,
381,239,512,139,757,062,362,501,427,443,488,118,424,314,784,314,288,091,333,
443,180,328,739,089,171,366,042,751,332,159,250,656,543,905,838,699,986,240,
277,401,038,396,276,058,418,790,943,874,629,201,255,235,344,919,988,931,039,
047,203,056,271,810,707,577,520,900,724,438,104,895,163,436,266,377,565,821,
770,969,036,277,518,486,883,637,289,948,858,032,892,992,625,610,599,145,090,
559,329,551,221,442,589,059,504,456,089,115,087,921,097,975,617,535,145,050,
397,867,656,555,493,178,196,876,456,860,315,278,773,488,293,173,273,329,480,
313,259,625,214,491,812,258,354,315,774,055,365,288,756,310,938,582,286,624,
939,175,839,987,996,745,579,765,189,853,812,838,438,090,596,728,411,286,468,
028,188,615,671,260,979,841,867,233,607,936,498,536,372,225,353,771,433,507,
727,652,716,475,645,766,134,627,104,280,581,058,668,255,856,059,086,200,143,
706,637,041,831,155,630,366,666,849,726,212,052,280,170,594,433,783,447,981,
495,932,987,698,476,202,558,671,652,231,893,299,391,033,716,700,710,494,998,
632,830,479,256,386,612,569,805,762,498,750,940,177,205,917,337,262,512,389,
903,977,923,099,532,322,554,488,692,104,445,987,530,440,303,346,817,408,313,
066,186,458,108,189,527,748,243,957,454,085,535,562,225,912,613,512,788,265,
800,333,599,568,601,527,101,864,301,447,299,508,687,333,860,415,055,543,095,
934,218,383,922,335,299,204,427,180,483,377,479,833,198,142,042,783,504,027,
788,945,104,115,257,791,913,092,156,846,279,927,059,099,788,324,300,562,492,
327,005,539,936,609,587,545,866,152,054,893,610,202,654,645,043,513,185,802,
178,013,849,804,368,116,988,951,883,921,880,997,774,085,482,039,098,674,986,
275,039,066,783,783,785,989,177,925,087,731,680,870,700,832,825,268,181,766,
957,920,635,019,331,893,033,394,785,159,977,253,009,611,046,812,862,444,134,
806,517,491,675,269,119,098,035,607,754,885,893,936,446,538,414,289,252,517,
992,875,563,515,878,650,225,326,137,513,098,731,664,644,327,931,481,732,325,
923,940,481,200,074,898,029,682,807,004,308,679,228,978,758,697,434,690,592,
594,781,380,312,592,922,260,481,087,119,225,581,884,955,605,910,088,975,154,
084,367,159,332,719,143,158,344,098,059,347,743,223,355,083,674,088,763,652,
940,530,809,651,247,953,141,110,465,316,473,969,592,722,590,930,649,172,194,
387,494,738,530,591,508,244,334,986,553,883,996,703,139,580,088,443,537,052,
758,235,845,299,058,563,360,782,577,653,407,132,628,132,427,327,837,997,038,
746,528,880,241,729,151,885,069,441,809,934,152,444,350,865,036,458,218,878,
375,653,402,625,925,992,775,108,898,323,752,614,717,109,134,597,074,569,740,
049,309,124,436,051,459,492,303,159,021,499,157,762,647,903,781,566,177,115,
235,545,678,789,647,921,534,807,671,509,851,003,843,458,996,262,695,154,780,
456,317,104,612,401,009,928,559,471,367,529,070,419,093,154,764,875,543,394,
646,455,618,941,507,214,321,533,341,315,698,034,154,186,605,648,834,426,714,
808,723,023,101,895,030,057,827,517,301,188,587,184,425,280,772,704,888,609,
374,788,081,636,612,639,954,396,389,883,793,069,084,652,081,524,566,646,335,
156,795,435,938,485,234,807,685,329,115,841,539,133,838,872,984,623,454,318,
656,674,539,379,758,748,051,462,807,998,072,256,028,332,958,908,474,395,054,
037,218,658,305,898,765,919,618,629,668,494,354,324,908,952,943,656,813,585,
663,020,627,107,273,902,811,435,141,904,388,165,267,744,724,836,316,851,505,
950,836,447,085,562,144,531,993,652,704,384,643,606,190,811,115,905,581,851,
253,053,995,650,650,894,522,284,401,070,640,371,614,838,622,535,061,315,543,
542,017,689,089,863,965,536,157,643,775,324,616,397,735,527,006,487,635,585,
862,462,854,695,926,227,869,881,650,311,340,616,278,410,381,518,619,899,448,
765,549,672,824,094,953,174,799,284,150,876,764,226,244,645,964,777,335,609,
363,028,081,197,915,207,907,115,793,503,113,513,209,474,999,317,416,624,365,
632,230,657,091,723,528,408,795,712,233,617,442,833,795,508,694,546,223,381,
062,722,511,264,517,787,098,180,085,085,325,629,408,362,291,688,025,617,719,
385,014,586,974,058,027,616,649,531,372,346,112,611,655,609,281,662,437,469,
360,812,316,397,540,418,866,051,460,266,111,288,088,255,711,388,288,075,900,
011,053,308,469,154,723,198,387,333,636,179,635,898,269,608,870,901,518,139,
820,590,697,516,414,593,494,880,999,973,287,712,244,864,402,680,332,883,501,
009,844,896,151,812,648,606,189,317,575,286,591,540,975,427,415,666,736,267,
037,643,836,759,152,867,258,591,224,204,164,989,100,682,256,041,693,349,190,
128,327,816,065,823,522,670,146,957,885,991,215,484,722,532,457,449,800,281,
311,710,283,888,534,196,012,659,726,857,480,426,836,883,820,476,810,025,498,
233,654,333,781,385,820,634,477,413,188,719,416,570,547,729,239,605,440,667,
724,730,335,729,050,873,010,053,136,397,723,954,592,142,630,279,207,702,754,
720,129,866,488,923,260,219,111,565,334,888,750,150,636,178,541,948,896,649,
037,768,520,086,108,810,248,960,683,897,522,861,486,391,323,660,206,942,994,
181,687,017,819,212,103,516,641,734,593,095,141,205,564,338,982,882,531,883,
294,081,831,494,187,707,134,659,038,203,343,968,564,378,943,170,628,133,780,
557,500,583,557,970,996,395,031,581,469,749,283,880,202,187,595,483,194,502,
056,346,837,396,572,390,650,130,757,580,898,056,255,574,789,795,372,569,287,
862,477,064,132,406,937,411,202,621,551,530,610,388,275,381,532,427,437,084,
099,608,187,476,736,827,927,082,105,355,072,190,822,219,134,663,438,682,685,
526,389,238,746,388,235,308,148,458,134,872,621,627,722,214,676,592,237,089,
358,603,633,681,748,262,417,984,537,000,460,920,238,140,834,028,198,819,312,
945,567,345,726,498,037,507,228,141,771,951,172,896,669,999,201,507,202,450,
011,059,737,684,999,445,485,592,997,555,862,148,639,310,663,697,460,019,194,
931,852,911,160,992,113,377,727,524,777,942,183,576,129,541,180,598,352,216,
025,304,699,030,859,755,582,723,616,174,376,994,274,134,729,510,429,379,170,
957,604,344,796,376,471,194,359,409,669,803,269,372,666,632,483,510,112,627,
770,420,094,617,167,522,335,789,008,023,913,791,630,372,919,809,114,655,145,
395,742,856,910,828,292,207,482,988,711,752,946,237,275,857,850,222,424,397,
643,026,720,539,450,516,798,941,188,495,633,555,809,345,810,198,036,259,860,
139,460,761,514,398,019,469,584,922,282,571,526,167,067,639,923,739,527,640,
409,948,488,008,222,323,985,862,634,885,497,628,922,334,433,260,065,557,805,
479,038,952,859,762,623,873,754,554,044,774,266,157,229,416,818,598,972,593,
180,369,894,766,619,196,306,528,504,087,239,157,718,078,910,479,485,691,477,
036,887,613,903,573,642,492,922,562,236,908,105,235,708,225,420,740,014,111,
732,081,814,820,066,150,050,984,485,778,574,450,249,347,553,935,512,657,079,
224,621,574,758,650,992,076,985,867,326,274,439,175,959,049,343,183,490,231,
990,048,558,292,989,669,560,277,758,356,293,776,448,469,907,399,260,738,545,
077,758,328,347,371,310,498,417,053,386,132,718,166,832,073,073,289,381,310,
255,328,709,427,841,312,437,449,374,662,134,434,780,125,157,844,524,772,262,
022,286,639,954,373,486,638,709,730,938,519,620,111,871,073,086,631,453,779,
412,672,584,296,399,542,151,359,686,726,323,963,269,111,074,426,910,777,104,
342,335,788,118,880,830,578,263,072,269,932,252,017,108,844,556,474,835,772,
233,720,477,159,312,805,908,426,892,414,990,711,432,108,564,153,917,438,127,
347,999,840,059,026,029,218,315,009,278,251,973,790,995,754,899,349,214,741,
240,633,508,151,322,872,537,613,639,565,362,931,943,303,745,698,529,335,671,
778,847,224,036,334,632,242,819,208,075,941,082,919,792,101,003,366,933,947,
812,365,820,627,952,698,843,968,467,084,039,084,427,798,311,965,239,738,412,
495,253,440,586,861,781,109,485,757,242,704,769,227,447,032,655,244,025,868,
915,718,989,976,308,713,636,694,213,500,922,013,820,381,643,383,050,751,190,
613,957,320,233,609,098,529,127,007,799,945,872,620,787,343,896,129,111,768,
504,108,065,963,501,714,106,775,184,803,354,619,917,944,807,186,262,324,490,
483,066,345,285,141,583,429,253,628,214,806,519,913,321,811,904,100,590,635,
036,840,171,784,699,300,401,679,360,338,160,752,513,808,300,371,694,701,425,
007,220,018,447,208,431,890,387,513,723,244,437,614,373,855,333,708,416,629,
961,682,880,531,911,883,656,425,825,106,919,306,608,487,531,084,373,393,814,
746,975,190,502,874,676,304,524,375,116,756,813,754,008,050,353,444,752,391,
136,414,646,986,748,838,899,902,034,002,650,768,337,156,882,644,416,595,580,
724,107,493,193,832,926,521,633,375,907,592,693,670,402,096,970,105,565,550,
766,495,636,230,521,658,414,496,388,750,271,895,828,684,330,173,517,845,285,
112,383,437,932,622,904,392,974,504,444,742,208,536,045,064,963,218,609,521,
116,128,720,693,619,908,768,189,167,538,192,894,631,749,775,538,334,871,764,
004,478,894,072,579,028,361,389,112,365,000,197,078,420,831,117,021,029,649,
039,129,334,292,500,991,942,816,510,733,403,099,472,877,151,537,745,050,826,
243,267,223,867,337,709,886,359,165,749,861,714,001,647,505,742,954,300,024,
075,549,296,218,646,394,459,144,430,089,701,108,817,202,878,349,907,223,457,
073,666,001,378,314,350,676,724,653,295,352,144,929,451,630,690,593,306,573,
688,570,346,233,262,044,439,884,248,360,517,774,311,724,050,209,367,297,652,
611,546,759,270,011,591,308,051,233,772,191,128,385,891,807,881,838,955,591,
587,068,023,931,987,520,714,641,556,069,856,129,987,263,792,493,648,809,271,
239,548,235,642,403,448,843,553,553,950,446,561,351,922,581,315,685,305,014,
077,528,119,638,619,830,614,513,953,943,119,068,065,703,157,975,479,209,340,
899,730,335,138,311,759,195,978,886,436,143,038,431,478,553,545,070,508,255,
492,162,641,212,177,390,299,969,883,291,140,056,682,647,798,455,182,868,032,
660,439,069,745,806,733,655,213,678,773,328,037,556,073,101,913,705,891,429,
819,680,759,340,755,716,872,558,795,559,967,472,245,826,204,518,166,818,310,
676,918,421,931,751,962,859,357,048,735,444,473,928,536,327,744,992,571,667,
713,324,631,400,827,549,349,851,970,158,798,274,661,619,817,890,443,522,398,
029,399,032,396,605,084,568,774,165,716,869,685,837,396,907,411,320,482,102,
319,825,962,033,320,142,459,463,889,734,148,004,000,471,098,150,156,703,964,
670,840,516,448,309,464,960,874,815,389,864,835,683,456,524,299,760,145,658,
861,808,921,180,945,092,987,354,053,313,698,229,511,562,437,224,829,254,773,
771,810,982,445,502,314,110,633,484,752,072,017,707,827,876,069,146,619,222,
197,603,296,195,870,974,635,591,954,921,306,503,848,797,539,800,380,180,663,
154,236,020,424,596,007,628,004,109,216,590,397,255,364,367,530,184,855,134,
349,529,344,164,879,523,310,787,861,608,868,378,649,675,685,207,297,836,655,
704,988,617,200,328,475,146,676,296,164,016,595,355,644,915,179,189,112,564,
969,695,047,659,222,913,415,009,103,351,328,217,765,502,922,950,475,235,849,
721,121,220,753,855,410,700,770,970,026,370,520,621,636,950,499,298,251,833,
799,023,207,583,694,624,582,655,716,906,891,979,340,437,327,175,255,032,101,
919,485,373,539,863,381,462,653,982,294,589,676,191,879,255,905,384,551,379,
444,257,703,497,583,832,426,128,305,870,976,661,434,502,926,995,869,330,102,
360,590,142,288,776,350,954,489,182,711,079,802,317,381,905,348,621,267,284,
401,787,147,212,035,911,258,781,188,537,032,579,122,117,160,096,516,316,994,
101,587,675,543,720,417,628,277,486,452,725,100,358,710,843,230,355,923,612,
398,071,828,255,640,255,186,439,928,214,616,437,775,888,535,578,699,346,302,
700,391,295,966,188,073,942,670,083,502,020,842,051,309,569,512,182,514,163,
408,227,214,026,631,783,608,174,136,383,957,556,806,197,237,733,930,526,604,
618,730,741,300,117,099,621,780,351,093,414,049,958,410,127,972,091,372,565,
747,917,308,216,653,295,381,038,468,236,240,299,893,586,813,299,837,306,868,
428,361,148,808,965,776,689,969,392,138,581,270,411,977,702,365,716,402,513,
740,428,488,584,132,218,926,764,769,392,496,755,296,549,891,496,742,131,163,
518,835,078,745,634,696,216,612,031,518,254,949,964,330,619,754,084,211,453,
079,548,709,407,563,508,798,083,312,268,816,652,707,216,030,727,200,740,787,
827,694,933,534,914,837,813,379,092,463,433,247,263,210,413,808,212,253,470,
561,930,837,916,260,065,630,584,899,069,723,387,124,514,513,461,203,303,882,
227,138,618,486,283,720,562,410,801,672,092,556,693,852,351,920,646,046,902,
748,243,887,118,201,911,854,516,703,683,418,651,278,780,844,589,903,493,310,
947,967,594,682,061,004,545,846,997,050,590,174,864,026,940,748,118,553,435,
735,638,855,294,211,894,143,221,415,687,081,456,395,276,456,342,259,994,247,
681,239,476,442,660,855,623,463,921,087,433,610,123,821,741,603,287,649,378,
926,796,077,530,505,287,554,856,368,873,250,160,507,885,561,852,493,550,492,
128,016,111,825,721,098,753,432,124,428,600,693,944,762,651,256,230,296,070,
838,700,745,222,164,243,172,054,173,823,478,389,630,543,194,149,293,896,256,
952,119,522,372,687,685,579,513,469,295,536,797,371,484,687,883,071,427,017,
386,726,155,164,777,897,876,503,744,721,791,379,557,458,397,798,280,219,056,
690,011,250,333,496,313,736,837,486,276,547,807,917,165,036,544,078,090,043,
989,591,065,123,734,131,563,969,681,444,215,224,169,917,826,109,211,528,819,
038,695,398,217,709,518,662,198,958,089,817,769,898,878,008,104,435,845,982,
934,775,376,768,712,310,455,332,710,535,709,957,938,743,423,300,632,912,589,
152,390,047,906,444,636,477,447,987,225,502,455,197,319,886,789,346,105,415,
304,128,016,330,131,795,971,898,555,796,677,576,494,126,509,326,155,565,209,
587,247,133,284,995,851,226,699,666,070,105,118,809,338,036,136,829,861,992,
065,347,230,467,300,199,806,768,879,180,506,046,497,173,438,835,643,032,917,
108,431,152,122,796,804,557,883,650,052,998,503,569,243,435,008,512,104,751,
980,054,750,080,630,173,732,315,240,823,863,822,576,145,399,931,882,755,936,
895,141,578,832,068,990,301,351,803,947,666,165,201,640,167,402,868,620,800,
298,851,147,234,352,798,704,376,223,996,794,475,089,836,763,284,429,851,187,
849,630,854,083,740,408,953,664,601,429,628,743,050,278,602,977,062,530,571,
250,533,994,733,763,130,355,340,275,129,463,974,398,527,414,100,901,870,052,
951,748,546,319,974,137,156,881,096,611,344,162,405,911,124,629,993,278,391,
214,416,037,109,684,474,204,773,940,888,034,012,234,466,484,227,460,640,070,
768,591,036,653,844,884,544,092,617,209,770,663,863,146,177,234,799,635,164,
754,413,070,160,717,423,222,525,210,926,361,537,733,327,681,514,431,858,520,
096,546,920,455,040,382,858,784,910,638,873,254,074,095,398,261,065,055,126,
470,803,244,056,278,351,266,374,215,089,061,663,712,898,042,296,355,623,981,
716,935,323,341,127,444,175,453,086,334,126,035,509,084,410,133,688,105,259,
477,073,804,120,306,727,496,643,981,544,610,769,353,767,750,383,548,565,737,
785,229,719,012,580,949,298,946,529,847,412,492,482,064,266,059,393,085,042,
150,010,880,264,015,646,864,674,466,552,165,820,701,149,019,128,427,531,308,
816,457,827,049,076,217,877,019,236,392,599,647,434,125,495,903,226,161,707,
198,900,491,903,842,451,065,276,644,450,489,083,239,199,549,784,048,712,046,
416,869,212,159,259,760,800,741,055,566,073,924,744,637,910,299,000,704,961,
040,635,810,885,656,780,822,623,855,241,784,797,373,631,183,300,256,755,224,
404,419,276,882,751,291,577,400,867,356,201,128,461,435,311,562,973,471,284,
423,527,129,722,376,084,951,152,963,368,594,794,267,491,677,058,573,098,573,
064,201,666,601,055,541,710,444,911,636,953,334,060,529,155,295,257,131,593,
998,603,210,322,231,739,392,900,544,347,757,214,243,830,258,681,226,554,637,
647,556,419,522,446,313,364,754,765,858,044,545,758,171,261,204,394,130,928,
062,070,228,554,546,560,672,644,914,885,515,424,565,150,893,101,880,731,419,
184,884,874,352,276,026,349,157,078,573,125,119,049,708,703,365,834,700,488,
345,236,362,438,715,568,218,186,875,348,595,015,351,401,281,943,332,094,335,
960,025,753,706,261,246,171,075,915,729,904,497,415,417,317,197,534,330,988,
177,138,725,500,275,842,733,157,216,379,074,585,910,344,506,110,890,131,755,
378,522,855,133,208,039,555,121,787,644,661,575,247,994,389,978,566,501,727,
035,269,958,678,125,777,190,702,119,679,535,364,968,140,231,229,244,870,019,
785,090,104,847,815,495,809,915,390,159,639,749,525,856,346,250,935,705,044,
109,086,708,570,340,814,888,781,340,801,736,502,963,382,367,400,462,853,399,
995,441,726,480,955,082,893,664,013,333,545,363,841,743,262,708,151,966,950,
865,211,115,148,298,212,862,999,838,890,550,969,205,127,049,344,057,870,511,
578,642,170,669,494,589,226,271,411,990,545,910,909,866,221,030,466,966,302,
192,823,976,496,550,573,569,147,781,776,714,640,706,188,036,545,010,029,383,
672,981,293,024,298,394,114,105,796,792,327,610,298,486,756,069,562,631,865,
678,198,376,979,711,761,642,766,592,554,092,463,292,573,346,968,979,391,491,
080,038,039,090,816,502,626,136,438,959,637,154,888,361,783,772,222,806,686,
130,266,440,965,962,297,172,746,467,817,978,676,203,304,967,540,007,325,060,
248,656,408,406,983,981,570,821,871,652,865,676,520,378,417,054,647,946,802,
277,252,190,032,662,332,797,381,916,228,909,115,113,773,706,551,980,054,502,
086,053,207,038,330,797,768,670,414,358,667,579,464,827,418,264,528,182,369,
354,468,505,635,853,091,176,503,019,614,631,973,254,641,261,998,476,742,174,
734,050,350,815,876,466,472,762,949,803,264,814,722,898,626,526,077,542,726,
003,599,310,523,434,587,506,042,301,173,051,085,252,233,519,200,015,774,638,
127,935,113,121,229,653,014,041,868,864,887,916,403,067,465,970,410,130,156,
059,756,475,149,401,377,356,043,134,498,669,932,623,604,979,352,477,480,205,
704,702,341,961,814,940,935,976,037,423,843,592,925,903,431,909,386,783,376,
449,851,816,274,898,347,053,522,627,122,673,615,453,327,106,463,200,154,193,
102,350,296,595,207,226,886,438,204,528,682,577,560,572,294,575,127,125,392,
653,189,843,962,955,436,106,908,027,737,318,869,072,116,726,756,787,528,148,
039,529,075,757,595,502,556,257,326,008,210,810,183,245,667,443,737,720,300,
662,655,718,211,523,785,857,542,932,191,873,295,833,917,799,703,738,990,677,
793,158,719,479,117,396,737,770,405,067,140,266,480,320,285,453,413,854,525,
715,555,498,359,532,958,084,024,896,639,495,163,121,179,807,323,187,168,016,
980,086,625,283,430,780,843,871,101,023,567,832,337,159,103,304,663,150,846,
332,689,106,688,895,055,521,134,087,769,429,435,548,668,859,398,410,730,892,
055,893,853,537,336,280,702,927,724,696,898,234,048,671,690,553,735,558,353,
200,979,481,666,755,825,517,263,391,818,463,433,985,969,131,742,580,281,176,
298,854,226,999,878,356,634,308,272,226,142,166,869,664,759,977,909,470,419,
696,423,902,041,486,377,934,293,966,456,737,394,227,037,799,368,152,991,787,
758,034,132,662,229,175,353,482,245,815,635,018,630,080,905,933,569,825,587,
815,474,202,082,309,498,032,144,074,464,572,886,723,610,338,120,507,933,552,
796,228,943,067,857,354,287,155,572,690,058,172,646,303,468,755,440,943,092,
615,469,249,702,496,030,333,538,008,408,026,627,729,459,022,517,542,174,913,
013,643,248,841,953,819,290,976,681,159,261,722,222,171,771,684,513,144,205,
163,758,659,218,270,992,469,372,424,574,418,963,635,737,588,356,348,892,504,
702,433,946,044,320,168,223,717,393,465,863,151,915,513,034,812,479,782,287,
200,265,281,364,129,500,367,132,929,490,127,532,902,485,147,400,920,501,765,
473,501,594,459,407,151,703,863,948,793,815,279,667,454,756,974,644,501,749,
374,120,837,261,866,954,156,379,916,595,012,013,218,330,160,579,848,885,618,
856,961,836,598,773,867,343,925,870,310,357,566,262,716,744,340,966,049,852,
871,829,486,707,144,113,650,475,331,062,490,679,060,787,996,412,681,813,833,
992,605,356,008,852,512,277,976,003,872,332,151,527,521,429,542,776,912,061,
162,136,967,553,059,849,409,070,005,006,062,894,315,693,672,134,271,936,856,
140,922,773,174,289,226,418,160,333,938,520,997,618,198,658,196,908,110,860,
711,839,648,376,168,878,702,700,674,210,519,263,106,361,887,723,772,250,980,
914,100,821,391,990,161,976,496,128,563,612,675,021,865,206,998,893,085,029,
821,838,590,723,642,571,059,775,720,024,777,782,335,778,095,506,311,337,335,
338,034,641,785,310,325,628,041,806,694,832,761,408,662,051,991,474,996,484,
225,248,951,242,236,528,478,461,041,738,530,409,184,521,515,378,174,007,430,
733,411,146,775,121,930,490,696,878,228,343,366,552,122,505,973,997,622,988,
373,757,541,433,428,551,201,430,833,139,485,250,672,767,825,436,152,494,729,
740,362,921,821,493,581,643,281,817,589,821,016,000,864,524,061,650,855,631,
488,229,041,675,068,100,846,076,869,691,734,037,948,176,580,482,048,029,916,
163,497,281,002,088,232,706,369,843,097,630,326,299,220,338,607,758,570,773,
814,569,403,370,093,791,806,527,980,716,618,363,314,262,923,725,218,200,878,
592,238,214,864,751,896,180,652,528,637,698,913,572,213,316,173,878,165,617,
415,934,003,676,568,490,897,831,345,225,473,789,695,428,964,448,648,429,859,
136,883,241,304,154,547,443,037,313,577,928,282,679,809,624,046,572,824,312,
526,075,047,217,662,344,187,728,184,910,603,485,750,502,915,092,962,583,985,
481,553,467,952,714,825,496,530,250,023,165,325,516,183,182,075,850,575,887,
844,849,794,505,309,970,704,988,182,525,335,166,948,032,423,622,689,548,144,
283,999,108,064,428,963,842,953,103,799,638,705,532,190,847,192,168,201,059,
959,760,554,184,630,648,602,790,185,138,660,483,682,337,575,580,092,711,615,
161,242,649,521,760,294,724,781,811,574,697,370,868,183,492,210,764,704,182,
644,897,425,427,139,293,056,361,816,172,771,593,379,695,668,821,918,383,110,
788,923,971,836,232,371,036,704,950,352,910,848,021,044,392,472,410,623,723,
548,152,541,597,195,511,805,465,888,926,930,520,107,615,731,592,593,599,780,
587,617,886,963,794,060,381,126,422,135,553,974,319,816,997,630,014,239,910,
500,240,971,650,756,958,885,888,548,972,345,606,713,697,890,056,318,115,507,
037,469,473,789,635,351,297,159,548,302,916,475,714,416,922,745,430,184,653,
367,525,783,269,598,743,833,079,368,363,968,399,557,257,177,421,509,324,165,
506,792,754,156,476,103,613,841,535,729,406,743,691,619,873,022,587,670,008,
809,152,532,650,448,989,525,271,286,815,130,715,006,780,004,888,211,749,146,
986,143,180,758,966,601,402,227,257,499,138,072,118,970,449,140,509,748,353,
492,113,179,355,528,738,003,775,830,869,734,748,032,107,132,827,883,613,651,
986,848,412,746,963,612,573,650,333,003,968,316,482,579,289,380,062,770,021,
287,134,550,087,317,801,137,130,917,729,748,438,107,176,908,050,682,166,732,
988,350,920,026,667,676,659,164,425,385,728,528,088,467,191,862,143,627,134,
646,522,905,707,655,024,520,008,983,674,311,010,460,515,871,146,848,091,988,
437,453,063,488,517,279,973,501,052,172,670,243,952,666,637,243,979,140,968,
649,694,510,938,169,983,487,375,191,856,773,897,218,677,381,269,560,435,056,
128,907,416,805,432,611,426,938,288,701,569,526,798,511,479,398,631,469,946,
957,072,998,455,003,424,560,213,313,905,427,947,988,580,921,378,336,458,125,
531,408,679,139,722,082,242,549,399,227,004,356,665,277,664,317,225,626,048,
488,671,621,062,460,919,064,367,959,421,305,780,226,003,362,991,898,451,889,
810,317,513,668,831,272,481,627,293,890,888,387,751,243,588,936,256,471,654,
102,548,629,165,262,645,875,464,259,722,612,662,284,254,981,610,180,546,494,
421,286,570,435,125,947,431,216,558,672,959,270,723,807,085,346,302,036,366,
571,590,661,757,542,966,525,563,367,309,361,101,289,382,227,025,183,700,591,
282,416,917,028,214,821,460,457,035,954,108,523,958,649,637,458,358,566,972,
456,455,339,891,249,994,265,007,024,118,934,344,249,262,743,500,652,094,311,
501,146,511,141,876,983,302,593,197,406,906,223,582,386,439,173,622,101,115,
655,714,559,509,536,455,559,557,347,083,432,539,372,944,442,217,037,806,083,
530,750,651,563,432,141,172,148,089,592,045,303,819,481,960,678,953,374,002,
718,037,815,023,795,728,966,606,797,496,684,225,191,567,438,996,231,286,858,
494,475,031,476,879,485,935,997,891,466,516,959,225,081,006,982,669,069,913,
433,877,347,928,286,535,838,375,131,883,551,408,806,134,552,502,368,485,876,
836,005,037,734,066,132,667,905,796,866,528,010,580,635,460,744,795,637,205,
043,867,869,011,918,996,220,462,366,983,394,156,473,893,441,211,984,052,891,
511,418,419,280,068,494,703,386,679,843,849,537,659,895,359,984,785,943,230,
957,782,519,060,321,393,363,910,334,124,180,771,635,691,624,750,833,254,465,
766,640,160,403,774,754,280,669,724,012,706,025,163,565,527,595,542,815,402,
284,467,836,226,887,746,276,671,082,958,297,414,467,858,524,219,909,532,285,
954,630,479,619,111,607,854,758,128,431,323,893,970,064,218,854,223,204,739,
338,772,322,602,785,149,843,794,512,308,542,729,862,371,989,134,727,248,354,
028,227,563,832,830,999,384,746,613,732,409,196,962,756,341,348,022,211,510,
530,246,431,888,083,602,485,293,149,426,556,036,102,874,213,581,533,277,522,
441,462,397,725,822,517,018,206,350,265,707,284,056,646,607,669,056,011,839,
594,013,187,737,631,434,971,761,019,419,628,717,622,110,150,686,807,762,801,
060,433,203,513,349,820,990,904,339,720,567,516,069,092,903,523,586,085,640,
705,664,725,826,428,847,919,010,790,686,788,052,787,331,058,671,720,037,848,
430,874,077,866,409,024,602,140,037,793,364,333,471,968,061,968,928,467,536,
102,254,164,591,549,384,295,300,885,715,487,152,396,067,633,167,115,985,451,
618,386,444,381,818,345,152,341,556,711,149,778,449,873,566,379,930,110,696,
140,581,435,353,541,036,763,774,015,351,839,043,012,182,299,860,202,402,173,
158,137,947,598,255,668,473,658,614,754,799,666,514,016,629,858,314,773,850,
582,585,813,707,085,767,374,850,500,804,801,931,373,193,678,474,150,708,908,
271,830,549,720,300,558,648,534,942,117,052,830,453,699,374,284,663,686,971,
051,920,839,107,683,386,279,737,481,510,219,434,623,121,297,296,224,649,628,
915,884,864,870,839,243,375,709,990,595,013,171,227,387,501,120,131,366,797,
263,848,723,123,439,928,149,850,127,345,625,946,257,382,400,157,574,250,549,
610,105,263,799,984,242,311,734,158,461,306,097,564,253,875,771,231,533,052,
481,199,081,547,976,465,631,222,246,448,974,656,141,954,716,419,701,724,439,
043,156,025,627,493,422,668,211,981,351,696,968,044,539,872,435,915,514,629,
704,041,232,287,408,743,653,382,391,614,428,477,938,750,563,799,586,569,209,
969,068,930,352,436,186,188,070,932,350,911,345,596,967,396,674,660,658,963,
171,976,294,797,472,849,639,120,077,884,338,187,224,640,189,296,765,179,400,
262,258,836,200,898,307,137,362,950,675,199,773,232,309,805,516,262,438,356,
507,634,696,389,768,523,520,355,246,338,371,802,565,160,276,751,800,474,851,
593,911,673,521,880,246,331,239,862,003,115,582,191,507,760,926,073,714,243,
262,825,072,184,700,325,076,744,436,449,880,735,812,574,202,053,544,429,287,
942,303,829,046,166,407,064,344,517,323,066,175,506,035,946,623,839,117,149,
002,430,682,176,288,772,117,033,234,108,315,742,703,860,021,315,283,386,523,
821,367,511,931,070,789,441,046,339,227,879,200,793,347,109,317,135,416,218,
492,922,061,090,274,280,556,572,256,000,240,949,140,694,227,528,534,722,315,
535,449,698,810,346,228,185,232,407,260,774,891,666,909,149,298,856,337,087,
304,384,395,198,640,003,076,436,601,690,912,750,054,686,232,118,126,873,453,
625,153,461,648,008,118,677,516,498,980,318,774,597,493,803,402,491,671,314,
158,925,651,061,846,046,764,621,904,427,537,705,632,990,269,278,906,373,746,
393,053,742,621,983,497,422,547,568,751,438,342,395,197,489,342,459,991,087,
990,975,606,114,870,434,105,920,929,515,959,419,334,269,110,454,710,504,592,
718,221,045,356,566,864,124,501,295,984,374,308,682,790,707,142,786,674,436,
192,663,204,937,750,542,398,560,980,887,436,230,634,842,657,106,890,750,520,
972,908,444,393,869,768,091,036,421,142,345,184,762,402,512,202,007,966,770,
568,600,320,444,515,621,725,937,745,080,985,078,225,069,766,144,408,006,548,
706,050,417,411,715,664,574,870,613,956,424,303,288,247,320,801,561,392,654,
053,106,922,266,089,699,161,343,919,943,498,536,569,776,832,648,339,822,265,
037,915,692,679,603,618,219,241,616,538,718,565,880,464,421,914,032,782,271,
187,878,469,926,256,428,640,989,473,409,955,276,750,379,203,613,161,909,860,
687,978,437,479,151,044,559,606,559,719,196,130,020,765,077,660,328,326,640,
215,475,858,783,145,270,340,437,845,840,904,373,619,560,530,688,886,354,454,
490,534,843,666,967,508,159,641,155,441,805,522,665,845,961,081,793,775,368,
533,055,547,647,825,465,677,965,983,395,746,198,421,123,034,241,591,397,073,
346,778,374,022,312,450,814,573,166,490,161,720,165,696,912,017,312,104,782,
233,059,713,849,554,397,274,037,949,324,989,328,056,387,949,002,957,266,694,
007,017,739,928,922,653,622,279,749,889,789,225,235,811,278,509,362,764,770,
043,699,092,383,715,773,170,786,604,106,597,598,860,606,338,909,655,364,440,
605,236,151,204,376,376,044,962,674,860,667,499,661,578,856,251,296,629,204,
636,788,141,726,116,808,323,219,209,921,734,321,500,382,373,925,377,568,412,
064,566,726,864,637,777,691,597,124,390,807,597,954,558,701,607,847,736,211,
696,540,651,148,038,752,355,847,509,173,716,140,137,615,467,975,107,632,382,
005,657,846,421,774,323,717,123,044,143,476,628,536,693,309,523,749,159,595,
987,950,012,840,954,828,734,134,991,665,506,711,800,868,669,093,584,104,870,
861,215,661,389,287,409,680,614,279,246,984,624,515,966,279,707,508,237,831,
596,983,126,931,275,680,601,683,978,778,486,220,424,530,403,181,067,978,886,
869,053,161,834,912,139,009,961,568,284,990,428,011,919,802,081,577,075,467,
125,041,178,398,867,821,534,348,460,625,336,676,141,502,271,225,356,139,051,
962,160,337,726,422,434,966,561,940,615,269,607,487,237,704,564,825,101,876,
406,427,472,548,041,685,337,461,233,522,495,723,031,631,620,883,904,344,043,
069,992,005,233,509,670,035,086,700,906,961,989,509,640,162,919,684,733,097,
735,211,466,779,360,441,255,074,706,198,437,791,520,755,820,428,759,598,328,
145,025,345,156,549,528,148,953,751,910,690,033,695,130,427,376,628,679,217,
410,141,311,460,305,018,257,883,426,378,891,547,771,696,996,406,584,564,196,
752,935,752,939,439,478,981,417,955,690,623,464,712,799,719,501,588,250,511,
785,475,168,692,663,509,556,577,696,987,397,749,835,262,819,845,563,475,066,
106,461,701,821,135,109,880,997,477,686,731,463,778,544,495,984,266,624,678,
600,812,482,823,393,094,590,489,587,796,746,268,952,776,378,021,711,213,441,
470,624,072,236,831,159,843,166,535,149,030,157,657,914,827,136,883,583,033,
173,990,011,388,479,193,985,112,359,142,009,114,085,709,057,011,846,051,190,
358,683,312,478,444,535,913,506,075,152,756,891,586,475,920,401,506,440,395,
393,976,574,241,025,654,223,383,227,915,858,898,473,783,158,025,997,513,792,
571,799,717,598,233,385,126,387,862,117,227,562,433,268,956,654,319,126,456,
947,332,210,756,549,631,723,135,109,839,832,370,828,468,853,925,580,591,013,
397,734,100,102,986,242,249,392,905,938,462,629,241,033,172,263,801,590,507,
413,201,493,988,554,307,532,622,433,406,977,223,983,809,903,587,576,173,364,
507,804,053,935,892,153,725,485,410,711,630,270,382,151,489,698,182,562,548,
053,810,512,470,772,603,388,259,376,563,743,466,301,163,367,005,872,755,169,
356,082,648,732,816,913,834,003,481,222,428,367,882,775,767,756,378,659,397,
887,717,707,500,942,788,195,557,099,118,730,486,741,401,922,216,713,329,236,
860,083,317,127,553,001,777,901,411,080,448,099,138,128,737,440,163,003,630,
350,550,527,651,828,908,130,193,439,470,080,333,233,795,033,014,057,336,538,
065,848,490,395,589,251,578,925,247,229,866,657,339,962,750,748,865,911,598,
460,837,018,803,457,501,396,829,894,051,752,885,883,689,925,482,951,871,694,
659,644,926,043,536,330,812,265,141,042,332,769,162,420,274,377,345,782,004,
338,873,091,821,631,985,187,655,586,178,996,303,195,016,516,274,203,698,216,
968,265,003,409,236,043,830,705,260,075,396,754,876,248,717,200,982,929,777,
220,073,535,104,827,419,534,955,344,286,711,434,526,068,840,901,520,198,368,
657,218,464,831,388,020,683,115,998,395,300,327,677,773,464,675,571,580,643,
095,382,719,678,771,690,529,993,388,646,943,291,979,371,654,909,724,265,041,
614,838,460,801,081,400,974,015,147,401,233,149,284,289,284,014,835,330,246,
688,004,913,302,269,668,211,996,386,896,484,027,738,899,420,196,176,159,066,
758,040,350,393,237,289,116,554,514,410,326,695,821,541,932,269,409,942,024,
924,369,977,962,785,272,507,870,531,861,916,350,218,788,490,999,434,364,708,
609,092,459,717,626,497,323,530,865,834,915,237,323,618,244,741,244,037,637,
249,818,721,266,294,372,887,702,906,462,403,524,801,607,606,295,841,990,174,
784,507,024,273,798,026,777,359,435,185,267,891,744,812,571,609,535,481,155,
714,355,350,523,472,698,593,322,570,029,258,426,623,649,115,586,206,549,151,
087,804,030,003,339,808,245,839,838,149,169,490,321,934,346,797,514,106,540,
098,813,881,398,595,258,892,345,964,082,865,157,205,806,126,690,102,013,012,
555,055,571,218,139,107,009,137,602,632,741,300,076,014,280,195,830,408,850,
289,717,344,351,085,659,002,118,118,141,435,651,225,508,744,616,061,684,632,
979,697,845,083,118,596,090,276,480,265,203,295,564,967,802,963,941,747,239,
500,237,028,879,271,249,405,678,074,340,756,145,059,356,992,803,317,224,652,
630,259,671,429,027,772,399,179,537,019,246,812,755,110,503,769,019,792,337,
974,166,143,174,316,802,251,058,051,997,072,401,371,637,646,534,140,789,133,
658,831,190,277,667,949,839,423,741,296,973,833,635,413,745,386,749,913,573,
103,304,544,403,041,529,098,796,445,656,229,608,870,204,438,125,490,838,016,
270,513,006,230,389,298,643,946,820,720,901,975,287,829,264,896,195,950,395,
315,938,344,115,470,695,938,127,642,466,762,609,981,200,399,443,534,779,767,
586,357,404,615,971,428,957,463,733,055,601,699,042,464,033,890,746,335,498,
912,194,961,296,438,319,012,780,279,224,408,373,734,952,629,903,287,272,671,
339,103,430,990,199,618,585,444,099,438,437,517,478,294,769,486,551,905,737,
828,008,490,425,432,635,026,478,292,161,207,227,429,514,993,022,850,188,697,
014,601,793,626,316,037,497,666,619,272,830,182,133,147,253,196,567,327,628,
934,397,641,035,772,567,559,770,390,851,454,642,816,091,133,593,861,457,391,
378,319,100,160,965,282,820,521,794,734,041,634,610,752,030,380,828,191,256,
974,029,567,366,543,567,073,003,403,516,925,995,811,278,940,549,968,683,130,
931,258,647,093,833,146,178,074,757,133,736,264,981,868,007,947,044,709,423,
410,955,789,284,403,128,874,445,079,256,252,746,087,002,930,096,147,171,795,
152,909,057,508,404,643,277,902,502,697,229,750,220,916,185,244,670,837,906,
284,860,144,795,652,048,607,867,266,431,570,830,356,240,266,947,521,238,923,
755,772,746,838,723,966,535,523,374,764,875,859,043,211,765,206,547,697,218,
317,631,157,735,463,056,011,961,885,285,722,252,862,021,742,947,550,214,746,
253,713,235,718,624,269,207,169,294,795,264,320,963,164,766,256,141,786,931,
992,617,776,309,230,813,284,704,673,781,254,992,435,951,525,780,779,777,952,
359,591,281,122,059,985,421,916,939,426,861,420,158,291,548,687,135,638,347,
063,400,896,917,068,355,121,448,605,533,018,266,748,225,743,711,265,841,117,
735,185,298,817,865,765,118,805,874,531,544,661,113,815,110,304,945,427,753,
203,962,819,406,740,856,145,332,668,961,920,828,640,660,432,043,866,882,297,
092,030,305,427,347,807,855,099,384,620,208,022,170,296,895,359,577,922,023,
692,187,454,236,609,385,797,886,310,445,252,739,306,850,522,917,558,089,845,
570,720,249,407,759,088,934,090,659,530,965,251,647,644,814,855,302,558,540,
912,518,070,491,757,457,187,618,058,330,425,970,196,631,140,277,344,568,484,
121,007,436,414,794,629,561,213,826,277,236,701,787,394,287,342,569,988,010,
774,896,150,856,072,869,895,734,063,371,667,739,084,687,179,001,606,682,447,
378,669,280,317,418,310,909,934,996,258,074,172,792,433,320,040,134,572,894,
962,941,026,605,099,748,436,661,918,594,130,762,128,045,101,595,162,803,470,
750,630,561,689,101,356,750,745,109,578,437,794,247,586,162,903,938,665,687,
585,746,505,070,057,961,165,465,360,505,867,935,814,331,582,044,519,435,167,
480,995,642,597,891,931,317,128,155,968,621,400,063,816,395,724,725,262,460,
757,257,360,380,238,871,075,216,425,557,983,630,491,179,526,079,875,262,330,
752,404,875,562,079,385,680,189,667,217,399,191,026,576,652,275,713,684,703,
565,519,524,653,726,886,389,929,459,246,204,647,946,829,748,439,333,531,405,
815,286,157,390,504,106,188,604,018,882,851,024,050,188,983,294,419,751,530,
653,145,794,918,100,918,449,445,116,460,674,930,383,699,796,174,993,168,636,
941,108,551,244,650,155,659,894,219,390,723,369,449,619,693,097,493,285,288,
628,373,595,727,277,723,587,890,651,477,077,510,030,738,523,997,632,507,215,
372,836,147,636,295,521,672,630,672,652,804,609,373,370,194,514,494,283,156,
995,170,438,154,480,351,330,489,425,106,619,778,563,117,222,163,492,986,481,
007,037,226,965,342,252,639,904,269,179,862,557,382,282,881,592,649,534,972,
274,157,790,741,244,536,325,797,443,426,763,595,657,828,557,610,022,133,436,
310,177,063,136,323,948,817,653,506,420,398,889,785,007,496,853,933,430,030,
057,632,822,869,734,680,501,328,907,154,872,144,622,526,965,015,327,826,743,
818,849,900,906,162,185,943,234,592,267,164,958,759,014,832,057,357,841,762,
573,586,346,340,501,302,017,062,491,789,808,964,030,949,335,907,019,112,454,
748,673,781,553,120,930,767,926,128,320,993,451,276,412,425,946,613,621,604,
780,442,023,760,506,856,932,607,051,392,550,110,843,985,467,271,741,251,386,
531,182,549,500,222,580,531,334,656,560,717,436,505,050,859,070,083,623,714,
837,724,222,500,921,555,170,325,426,184,089,685,784,753,881,724,044,273,862,
375,871,070,510,362,828,153,115,283,555,004,708,849,694,415,866,378,822,017,
998,045,186,025,926,980,146,173,828,133,994,511,403,997,573,487,055,743,542,
570,592,358,293,933,178,093,870,784,860,667,523,639,187,259,793,941,769,748,
439,687,667,166,054,579,527,175,842,860,982,793,346,608,983,965,469,631,767,
683,794,774,446,299,596,757,493,619,703,082,263,918,393,791,316,409,354,233,
863,630,646,061,484,034,036,858,449,624,765,294,237,370,820,082,215,765,719,
148,791,705,207,261,906,029,688,838,691,675,245,566,782,719,733,227,936,996,
697,531,854,701,981,418,500,739,981,578,516,443,381,520,470,421,150,908,107,
684,788,996,305,566,745,231,103,813,183,604,518,570,712,820,106,465,154,629,
185,534,726,289,663,458,652,597,102,947,854,855,551,238,364,023,438,610,210,
200,915,142,507,552,694,244,561,426,545,648,194,112,504,939,030,613,995,215,
186,756,622,369,518,486,646,994,480,363,169,136,642,256,858,504,520,426,892,
125,770,717,284,149,881,180,086,959,609,628,532,063,856,166,896,014,536,635,
655,751,860,843,792,772,326,634,638,835,030,697,724,690,763,743,944,520,073,
372,368,967,211,233,664,085,177,437,449,142,077,970,726,035,330,690,571,047,
297,679,246,825,460,105,402,285,781,527,063,614,588,699,324,632,471,813,599,
722,281,891,699,358,650,998,843,992,604,690,278,092,015,541,662,474,696,082,
562,200,584,350,836,110,429,363,179,738,390,376,914,254,320,966,426,100,868,
738,689,822,327,608,873,774,970,858,755,037,174,153,327,253,527,895,112,789,
736,067,569,034,652,134,526,812,673,030,185,101,749,161,828,082,139,313,996,
997,892,512,568,486,548,100,227,219,063,385,047,138,777,599,871,145,665,542,
106,556,886,614,430,740,274,345,855,695,089,885,423,441,481,492,996,295,243,
541,530,614,325,353,219,359,250,697,837,374,090,645,965,298,616,737,528,752,
964,156,900,840,055,330,344,227,886,654,988,991,622,604,026,282,755,768,489,
045,474,374,066,920,203,688,219,383,272,628,338,355,341,072,187,230,128,543,
938,978,382,046,905,883,098,256,044,134,094,313,373,140,262,094,642,839,807,
879,510,752,319,510,264,714,087,817,182,623,199,960,836,482,071,047,426,558,
093,992,395,865,698,579,450,078,693,904,084,588,158,831,396,116,992,951,001,
716,164,675,930,815,272,767,997,870,207,528,952,582,594,216,709,780,506,981,
227,352,985,463,595,093,333,190,707,205,919,240,570,841,026,530,283,621,959,
075,962,412,258,765,812,883,055,707,262,237,129,711,981,537,988,915,233,516,
004,219,267,018,619,772,293,038,347,786,486,610,450,247,988,145,628,080,296,
426,848,459,297,173,037,134,007,939,957,795,979,671,863,767,707,953,139,731,
321,355,283,985,248,341,804,688,350,994,804,706,109,238,061,972,369,995,269,
678,882,607,160,040,857,386,898,402,349,842,840,345,555,720,860,935,390,910,
910,510,389,348,886,936,922,758,917,226,574,341,849,050,670,955,042,415,477,
039,568,587,122,886,651,034,634,598,850,638,982,201,901,447,632,542,688,478,
715,326,561,724,311,302,554,826,523,239,313,633,484,661,482,902,283,807,675,
718,666,072,190,894,060,791,275,529,383,544,766,578,473,192,736,746,486,444,
746,126,942,624,252,178,775,787,194,873,402,015,240,653,425,857,169,102,227,
452,166,384,009,988,671,471,513,856,720,363,504,442,079,432,797,719,452,627,
053,364,537,939,797,797,417,577,980,326,824,873,173,639,778,407,394,777,996,
864,529,290,715,503,404,919,448,527,194,907,957,708,314,645,176,851,387,601,
279,586,830,643,204,384,761,033,435,020,947,374,334,674,301,638,530,213,025,
086,352,386,083,910,518,281,835,586,393,247,129,373,913,687,109,374,206,972,
519,165,219,618,445,233,888,349,703,916,535,155,127,387,998,726,789,634,379,
763,570,153,871,579,497,397,518,352,457,775,116,847,163,701,746,546,898,697,
332,694,599,376,922,444,357,304,249,089,396,752,275,534,038,961,719,915,576,
359,436,058,122,293,709,462,290,810,882,710,262,667,526,792,689,387,295,603,
249,705,944,134,042,100,694,379,191,636,272,528,238,811,684,500,763,999,265,
575,182,364,017,590,517,834,128,659,548,387,782,702,052,025,480,885,607,826,
514,696,789,364,184,887,308,820,573,815,094,745,348,972,289,248,773,044,152,
604,995,958,848,550,697,251,696,998,478,421,333,695,940,680,185,810,201,052,
202,516,796,297,860,966,007,929,205,150,902,091,216,054,506,343,380,501,075,
455,604,695,586,234,680,418,532,032,888,552,489,371,692,126,160,202,459,106,
584,170,042,069,340,511,988,847,279,292,080,645,587,175,698,739,791,510,734,
802,464,807,714,181,908,794,967,306,200,100,619,924,629,496,108,186,652,609,
688,728,648,220,768,012,641,634,972,370,928,192,966,100,653,159,593,872,027,
877,974,354,109,351,056,427,001,738,164,163,976,017,413,934,770,858,876,744,
351,009,110,461,728,172,211,867,957,093,719,556,393,055,137,169,258,862,167,
061,609,664,494,681,705,059,364,297,597,981,736,695,697,055,652,347,861,009,
030,879,166,153,564,765,671,544,479,526,023,772,602,263,996,341,956,827,894,
284,570,187,776,482,064,611,736,719,396,719,756,760,487,053,000,942,620,802,
548,914,332,697,513,167,113,674,493,724,930,682,485,096,321,382,640,500,822,
570,147,134,163,096,968,552,073,035,249,637,428,476,876,894,130,491,254,175,
832,681,482,209,890,163,772,241,250,698,950,890,177,136,746,885,169,820,158,
413,186,297,536,248,293,702,131,605,491,199,945,260,695,739,961,409,977,660,
410,006,752,896,430,851,793,534,603,748,408,583,057,657,774,796,625,789,906,
956,023,215,813,379,375,595,740,891,939,332,770,423,929,129,266,172,374,659,
476,988,445,976,504,627,905,010,796,491,471,957,456,605,489,192,441,847,010,
931,898,991,020,525,303,212,273,491,612,055,603,399,124,647,870,022,717,638,
386,226,949,047,820,593,811,297,342,502,165,188,853,436,580,722,636,373,721,
714,863,454,339,595,639,611,652,915,383,721,289,555,006,649,141,783,413,320,
803,084,047,873,704,704,021,752,991,754,607,973,453,247,173,578,205,652,372,
336,289,230,677,373,817,039,319,531,340,399,908,311,859,506,183,370,029,148,
432,612,429,486,053,356,404,179,415,833,856,936,058,422,810,689,049,011,962,
072,814,518,783,612,734,606,639,410,289,376,525,760,779,540,863,419,538,509,
116,303,346,131,444,026,954,375,055,243,758,290,103,807,275,732,081,232,533,
931,236,512,155,088,924,810,954,253,457,067,252,235,688,728,358,415,442,370,
865,860,664,036,480,608,206,256,632,422,534,167,688,559,805,434,290,552,875,
507,137,068,070,561,829,067,006,989,984,147,371,209,548,944,514,348,259,915,
500,049,687,315,057,537,240,783,919,038,172,200,380,026,737,213,850,552,965,
349,789,060,099,249,470,575,290,572,335,422,258,426,071,016,361,655,027,644,
541,405,697,484,819,614,916,504,321,069,393,437,459,653,555,694,465,045,409,
407,174,157,465,243,894,912,314,884,082,820,453,851,876,874,754,563,315,220,
359,524,976,597,468,437,204,839,759,111,766,517,853,049,051,715,424,464,896,
849,789,192,782,794,271,361,069,163,521,435,067,567,908,681,470,770,158,165,
759,613,545,713,681,843,146,194,611,092,356,999,772,641,899,200,836,205,735,
807,482,787,997,064,282,489,405,741,970,788,115,320,899,227,931,774,362,891,
095,098,310,238,777,178,597,040,330,081,528,649,061,221,679,605,744,150,526,
165,019,044,360,256,958,404,467,071,224,092,592,829,244,130,023,916,502,077,
441,620,662,507,845,083,712,291,420,421,864,440,327,296,406,816,539,248,532,
904,080,134,159,049,481,775,931,000,846,028,332,485,600,877,087,603,405,009,
689,308,204,773,017,351,059,942,602,926,144,738,210,016,264,985,586,832,373,
560,601,705,618,726,513,463,915,172,329,605,441,633,285,446,393,818,829,131,
842,894,113,250,764,647,105,112,340,971,078,111,064,113,119,102,771,734,419,
789,638,369,730,301,376,307,595,084,953,305,316,067,886,394,787,176,092,636,
832,571,479,788,123,029,011,554,612,301,045,222,497,385,518,935,844,430,317,
542,338,588,145,233,892,548,410,800,826,083,725,304,537,096,577,313,341,714,
869,487,683,672,169,665,488,742,241,308,552,598,959,687,156,590,149,919,317,
552,055,562,445,693,092,247,722,554,567,530,560,425,427,299,424,888,144,277,
197,923,053,031,424,364,859,660,285,305,854,202,637,492,699,137,955,556,913,
564,039,552,588,435,591,134,376,943,669,815,832,981,930,288,638,790,345,219,
174,946,955,074,969,031,031,945,268,244,533,671,035,626,011,653,660,791,951,
969,694,093,643,053,214,250,677,737,776,368,594,517,284,020,756,707,756,512,
451,198,327,495,754,702,653,308,309,697,734,634,134,345,521,183,599,245,418,
970,290,932,071,850,790,280,932,345,603,555,942,635,686,644,754,667,147,913,
043,238,532,720,828,418,765,657,249,309,560,958,591,891,483,670,618,864,688,
181,516,303,440,352,405,439,909,871,961,213,572,494,718,770,093,678,731,090,
531,752,043,462,568,184,841,074,232,372,515,585,976,840,825,445,271,314,730,
409,031,766,057,618,444,581,240,173,052,207,986,815,820,469,427,862,023,801,
332,664,006,983,555,966,178,989,559,329,727,672,596,215,414,298,515,946,714,
845,209,054,169,198,885,813,603,299,593,438,901,930,254,724,359,030,047,867,
782,866,980,864,165,987,585,688,345,230,729,084,188,008,645,036,848,562,292,
623,492,658,289,880,555,227,338,412,802,642,542,600,168,577,939,167,759,445,
471,721,874,555,568,904,538,396,830,017,025,539,353,772,043,829,964,495,169,
246,881,618,649,801,492,665,123,551,844,472,039,710,106,095,871,054,461,527,
979,668,265,822,362,112,774,390,044,421,454,754,447,253,871,104,348,400,685,
760,228,732,274,570,977,378,440,854,550,431,168,853,881,623,302,705,378,323,
202,786,602,441,609,748,516,572,278,102,772,720,979,551,770,121,117,220,593,
258,572,146,116,435,833,500,834,441,475,537,495,509,214,497,987,401,299,994,
445,404,183,620,294,093,747,525,080,530,382,360,983,831,377,954,840,621,724,
715,111,023,225,778,932,209,900,656,208,906,795,479,802,637,561,688,391,017,
028,082,727,001,631,053,322,260,434,654,403,640,751,218,425,331,610,708,668,
195,810,037,740,082,875,465,541,848,713,844,065,982,283,953,794,866,549,496,
498,044,793,857,288,234,918,195,851,625,582,915,569,011,592,196,206,954,243,
162,044,055,219,447,249,899,169,542,611,004,605,894,201,252,645,405,258,568,
445,975,028,271,317,647,184,230,655,775,257,345,967,146,686,597,781,111,015,
000,487,530,067,773,707,638,280,933,541,140,736,684,912,024,143,932,809,710,
620,089,514,499,606,722,368,418,478,052,492,833,796,691,132,087,932,483,881,
349,537,416,888,480,483,185,149,217,837,147,970,353,896,543,301,484,074,832,
103,255,687,165,151,274,268,193,593,581,386,904,913,346,916,477,374,298,061,
162,912,263,287,806,255,388,246,137,327,718,172,752,678,298,558,131,433,624,
943,852,219,056,843,539,313,790,336,488,465,606,069,315,830,502,643,194,618,
183,783,092,651,936,797,334,395,591,350,661,842,164,963,771,158,141,487,592,
981,328,435,366,859,247,866,715,188,268,377,509,602,715,248,917,125,198,022,
586,803,321,394,844,809,165,524,483,798,674,563,203,112,436,142,181,672,874,
691,192,954,431,515,624,611,832,551,196,588,024,577,389,943,036,884,714,349,
865,538,523,832,144,691,525,453,547,919,109,183,283,036,352,134,778,550,163,
472,383,293,821,705,134,899,821,553,548,458,450,315,404,403,749,778,578,913,
294,447,266,444,094,616,606,146,649,293,076,654,637,201,531,951,723,311,918,
084,079,822,305,382,164,972,902,384,904,222,673,103,192,936,018,770,105,838,
982,773,456,905,237,533,167,896,805,871,373,123,001,374,077,873,814,879,486,
881,627,327,632,791,571,037,176,627,988,136,713,092,171,713,767,079,198,212,
066,581,735,176,244,245,625,472,607,521,254,756,325,052,684,865,894,647,568,
468,852,210,576,116,925,129,963,426,772,252,596,351,884,404,227,647,409,428,
800,216,694,904,854,136,973,116,514,935,674,248,284,034,249,654,912,065,443,
723,374,226,415,750,219,773,620,354,654,332,174,639,681,994,177,388,793,439,
692,076,526,894,364,667,425,134,827,339,813,765,640,940,194,322,844,293,420,
063,926,565,204,313,645,564,064,136,943,530,658,452,214,584,703,476,251,368,
953,736,642,420,154,479,430,482,455,659,906,459,735,279,210,755,233,689,354,
273,154,350,413,321,822,369,065,021,572,136,356,533,969,403,771,723,679,595,
283,266,775,226,190,021,831,681,698,953,244,732,670,015,782,165,009,645,944,
092,370,875,745,266,245,251,524,068,487,799,465,190,313,135,156,391,158,164,
544,580,400,290,342,310,845,040,651,802,800,839,743,157,440,758,196,653,378,
555,625,892,778,060,552,027,443,516,616,967,462,518,043,347,347,061,975,631,
769,739,271,490,810,315,525,303,916,341,045,186,608,478,140,009,261,536,684,
746,094,280,693,152,523,497,639,821,676,583,784,526,500,343,495,460,267,130,
869,326,750,680,492,109,607,942,487,950,596,831,026,330,580,270,555,016,946,
390,937,462,760,899,760,550,925,198,165,736,563,659,499,279,260,458,573,437,
677,362,862,373,434,537,153,026,926,767,457,600,004,144,189,956,145,799,781,
633,655,602,238,681,983,873,866,979,199,210,231,274,535,036,277,217,499,911,
238,187,782,608,697,385,090,906,359,070,021,846,961,127,723,353,909,790,791,
405,152,766,490,040,624,625,876,513,194,694,237,618,772,959,529,260,115,413,
400,139,216,635,073,497,253,078,512,209,303,176,635,301,342,288,475,016,857,
997,597,512,552,677,242,118,135,485,400,820,112,873,364,006,208,206,978,855,
436,883,470,699,216,900,865,696,357,014,732,133,169,431,957,048,990,774,346,
991,934,465,372,868,805,031,296,522,996,521,364,055,867,851,406,647,557,370,
895,491,799,499,296,263,881,480,260,931,782,881,074,218,176,799,632,102,793,
726,452,169,329,983,895,045,204,614,155,531,944,617,751,096,684,227,927,986,
650,600,340,188,848,897,204,514,315,660,460,207,075,465,453,328,344,583,991,
485,637,759,873,047,602,435,267,079,211,848,520,878,141,001,501,977,385,526,
698,114,322,012,396,582,025,664,512,915,203,042,240,093,567,025,551,103,333,
780,638,890,313,580,072,246,825,200,970,732,935,512,524,519,939,180,880,933,
014,989,045,003,028,435,985,321,414,724,245,334,123,417,094,649,564,953,193,
840,188,870,453,438,608,197,467,964,094,231,743,608,573,652,336,991,152,244,
703,736,406,645,150,227,196,175,654,041,578,617,452,672,216,096,626,513,519,
335,825,095,646,891,604,885,470,037,716,775,451,458,263,676,262,609,289,996,
795,210,018,851,929,167,910,374,107,062,067,159,742,437,338,656,160,068,832,
312,032,478,107,716,482,792,948,954,207,205,962,207,042,053,388,393,029,002,
062,460,475,261,361,487,363,907,539,716,842,881,702,705,478,562,789,992,574,
107,240,510,731,081,120,950,069,683,935,041,369,356,185,187,626,129,066,598,
353,936,627,652,027,895,654,608,391,439,722,790,236,519,926,625,058,085,046,
110,391,116,492,307,868,265,318,404,493,952,857,514,958,476,931,580,088,140,
075,799,763,197,196,978,680,441,319,636,346,006,694,624,684,593,115,000,227,
966,213,445,677,462,789,809,148,814,749,851,993,438,003,870,955,497,310,509,
203,533,422,436,842,758,326,840,900,274,473,473,493,206,847,432,630,981,739,
869,692,989,253,959,677,724,897,577,985,459,856,925,860,252,122,166,006,219,
612,108,825,034,522,370,147,501,615,267,542,864,903,969,929,778,338,049,678,
904,294,087,764,819,115,502,645,474,504,857,040,865,987,890,479,804,486,822,
459,961,336,065,452,410,670,414,201,203,712,901,610,347,438,651,137,417,948,
021,825,384,127,980,963,032,077,740,179,668,622,014,190,263,189,519,720,727,
518,045,642,411,058,960,360,801,598,751,704,029,823,354,002,427,015,650,500,
906,096,839,805,142,181,732,662,778,252,564,779,050,642,490,360,652,600,173,
384,781,274,957,708,288,338,360,093,368,794,555,139,221,751,911,255,992,481,
434,669,758,791,419,632,105,752,716,475,758,531,672,195,770,322,202,904,816,
116,546,919,356,587,997,568,358,435,181,619,304,466,018,501,288,470,783,950,
011,622,177,671,651,358,447,846,337,876,211,435,010,282,823,709,029,798,622,
968,115,774,182,170,383,415,317,014,715,749,775,069,518,470,356,157,034,728,
557,549,979,781,215,132,509,632,382,460,293,972,184,431,365,053,070,895,252,
922,795,119,436,943,657,216,751,630,685,152,371,241,759,401,279,135,464,142,
262,857,430,779,090,850,828,729,022,139,909,189,118,160,278,756,403,777,448,
509,310,977,009,291,464,481,586,966,433,755,655,637,933,169,198,586,877,137,
526,843,745,080,452,809,549,692,362,287,464,020,229,981,136,478,529,055,498,
166,028,665,400,987,928,385,590,289,129,469,546,004,523,321,127,825,000,386,
783,480,105,883,588,983,407,076,621,180,774,071,414,943,316,518,138,576,037,
940,106,293,131,013,299,059,074,794,821,252,710,204,725,692,993,213,976,834,
474,234,721,127,251,159,559,184,218,574,735,801,513,637,137,152,643,971,511,
308,482,211,751,394,956,969,025,550,720,409,665,631,901,098,278,045,849,884,
886,690,185,195,996,723,420,673,159,453,785,008,856,448,779,564,098,313,281,
366,804,356,311,569,460,056,339,980,514,926,909,697,355,495,282,861,641,266,
537,141,295,580,030,752,973,881,436,475,403,550,676,133,761,574,830,470,327,
788,175,681,135,878,209,100,951,443,332,311,044,124,285,033,605,023,756,606,
281,518,671,927,889,833,537,780,351,982,488,972,359,597,091,926,135,180,392,
881,602,927,134,669,169,327,038,005,150,839,219,477,194,563,790,708,901,501,
126,156,154,279,444,061,789,574,337,023,156,391,579,233,818,035,708,634,182,
368,038,804,420,322,548,330,018,338,214,320,400,198,534,347,607,001,148,300,
413,390,537,715,070,127,093,374,934,451,965,044,056,044,356,191,540,023,540,
374,334,956,657,484,741,520,151,229,874,733,249,262,950,927,635,433,087,020,
308,877,489,932,187,451,353,316,937,883,869,491,145,532,549,637,497,618,504,
752,214,683,405,936,820,473,599,518,289,379,087,157,300,506,084,313,112,971,
359,821,625,369,473,300,770,327,604,318,865,549,052,934,332,122,802,896,502,
799,224,415,458,585,575,161,308,280,722,827,693,759,882,998,340,249,711,491,
545,378,312,439,288,031,685,767,949,944,768,802,388,727,137,757,319,659,719,
366,562,223,379,567,906,260,810,307,598,857,077,484,383,693,078,129,021,002,
215,298,944,154,547,224,905,104,742,417,996,719,590,785,604,667,190,703,633,
627,552,310,427,765,510,352,816,311,433,781,098,334,910,743,517,416,956,299,
463,914,110,522,209,172,505,749,020,518,207,263,754,449,763,774,113,920,371,
313,640,929,976,675,802,934,180,339,197,083,676,193,738,670,768,167,616,185,
379,986,759,075,338,389,456,723,643,074,853,996,142,788,663,962,881,281,964,
326,769,316,699,059,418,598,792,739,680,876,123,711,447,393,446,727,779,968,
547,805,373,757,647,058,141,495,710,742,319,024,136,012,762,710,426,855,795,
476,689,990,336,626,653,501,961,305,784,281,739,275,654,533,989,767,703,997,
434,283,914,752,310,810,023,725,805,211,024,581,192,806,810,241,212,672,753,
148,593,081,807,106,151,184,633,855,071,142,264,264,138,099,050,357,689,490,
135,374,432,358,167,564,482,131,497,558,398,457,125,034,572,644,546,359,166,
410,756,120,980,156,046,286,563,450,741,437,214,553,942,772,391,629,227,471,
215,905,842,326,023,974,597,876,807,974,440,329,833,033,620,146,586,692,326,
498,987,731,695,973,546,058,163,788,535,428,680,541,775,353,790,947,288,020,
476,387,297,849,263,305,315,347,401,041,577,824,160,709,698,705,200,679,538,
465,561,477,637,685,920,291,168,598,227,069,899,239,273,920,981,130,173,240,
829,845,053,573,424,442,135,530,577,982,738,151,291,770,283,230,296,314,131,
459,126,143,807,368,304,836,922,255,722,514,429,257,817,621,261,637,119,414,
770,261,418,176,111,508,476,036,894,799,162,563,186,141,755,325,687,385,966,
137,867,767,511,660,161,303,463,476,437,303,269,928,595,521,655,169,159,298,
481,794,825,261,180,414,301,500,803,470,086,745,843,472,632,093,545,079,577,
028,281,679,346,993,183,998,033,407,758,821,651,890,198,899,830,012,941,470,
657,117,522,928,384,977,181,878,566,226,550,005,433,327,838,841,278,571,394,
092,148,022,358,587,214,277,465,210,378,188,972,887,508,648,592,529,312,918,
475,480,405,823,227,321,233,395,035,944,463,592,868,664,747,112,597,425,054,
856,749,850,215,186,142,430,917,349,617,934,361,294,145,024,776,109,125,676,
535,199,940,901,875,394,049,816,471,630,311,444,993,531,370,802,740,546,190,
914,481,228,348,951,133,158,799,455,972,482,093,292,174,473,522,602,754,927,
315,205,801,692,603,923,114,188,922,359,287,988,777,287,374,074,213,523,730,
721,708,848,154,253,893,640,889,611,583,120,353,011,777,594,040,222,323,573,
330,614,608,548,302,321,381,429,000,889,636,006,183,166,014,120,486,934,912,
932,517,879,967,398,623,492,589,386,916,452,826,310,557,534,692,338,325,916,
902,008,977,588,227,759,230,568,329,440,601,837,214,210,973,288,752,457,443,
822,215,784,197,843,656,255,481,804,543,046,370,603,470,135,929,307,787,932,
950,377,630,549,302,419,178,670,396,154,233,730,689,759,535,887,395,923,162,
290,364,465,796,965,568,018,839,275,917,015,774,106,895,966,998,205,359,584,
665,194,955,191,803,967,124,328,929,992,729,722,406,889,925,783,483,331,324,
128,546,695,312,146,620,335,997,095,564,285,486,582,790,417,084,417,779,922,
520,722,007,805,114,756,079,980,803,374,268,852,628,670,345,196,984,935,467,
737,244,865,338,146,828,347,766,162,007,978,331,800,665,277,416,723,559,786,
539,744,347,079,636,795,739,000,416,221,996,162,278,894,882,345,199,172,303,
599,139,456,218,688,982,307,066,160,618,080,711,731,968,089,242,520,792,111,
499,044,402,162,412,628,292,805,448,942,015,980,770,925,960,172,101,690,263,
236,336,362,709,562,292,888,140,894,668,344,783,038,028,278,007,462,346,433,
536,220,946,740,188,966,578,095,341,471,976,294,913,966,309,437,532,192,442,
354,878,034,627,037,235,805,855,005,908,069,878,022,352,157,821,831,544,636,
072,134,722,100,886,701,934,921,212,530,111,769,693,936,497,764,538,743,722,
090,148,116,260,695,477,405,224,145,389,410,218,886,934,500,496,411,576,361,
185,708,963,088,604,070,975,762,885,587,810,776,425,124,395,800,998,348,481,
313,407,747,893,950,045,542,836,979,488,717,446,072,389,501,358,960,674,003,
341,392,618,065,586,848,415,368,944,949,794,153,824,832,242,055,008,932,665,
864,227,507,338,511,702,906,910,837,361,155,299,953,964,336,401,823,155,338,
279,265,605,962,302,067,265,154,552,124,711,202,776,464,355,370,817,928,746,
384,948,673,041,968,782,360,004,441,837,613,267,493,077,844,329,566,826,575,
123,464,289,951,503,124,860,271,333,146,091,293,313,618,780,965,379,551,853,
986,105,531,125,937,244,222,305,389,825,499,117,340,607,943,014,013,335,592,
658,466,969,870,170,345,862,963,906,661,101,991,248,595,066,032,484,676,018,
518,909,333,296,143,114,207,878,046,977,231,795,171,334,518,624,802,999,141,
699,960,003,554,479,510,802,278,258,255,977,340,604,427,315,023,478,105,900,
147,097,568,660,450,497,329,714,576,031,327,530,093,784,114,907,457,763,513,
792,350,911,819,149,523,724,979,399,730,250,286,345,076,330,965,828,232,602,
144,672,756,004,200,812,155,001,247,407,254,483,707,384,245,103,744,595,574,
743,483,830,943,560,509,450,591,274,240,812,717,153,678,761,936,404,194,570,
966,990,218,445,785,923,230,347,979,606,802,732,484,478,971,910,601,636,870,
249,856,651,874,430,058,837,336,049,571,028,937,377,862,176,809,458,979,664,
915,459,781,127,720,155,457,436,040,146,618,628,345,938,623,219,175,274,161,
888,825,224,221,512,139,242,822,194,615,882,463,577,268,382,300,087,662,017,
934,059,273,027,406,650,383,749,180,046,255,311,040,129,740,153,351,222,945,
780,937,829,220,437,801,681,551,051,629,909,151,467,258,048,145,804,719,067,
874,736,045,590,292,770,431,268,388,925,873,093,700,158,601,681,231,361,063,
802,132,766,900,681,116,549,419,951,044,632,953,135,960,914,109,307,361,480,
080,981,998,917,856,235,599,870,864,408,392,787,130,532,474,284,065,924,717,
093,539,733,412,380,444,743,954,407,013,137,464,922,826,663,479,750,792,618,
732,674,100,694,802,797,346,597,262,831,693,695,852,071,485,655,323,573,763,
325,441,963,193,903,784,403,098,434,586,834,534,331,865,138,326,928,835,511,
937,664,996,935,435,853,305,324,638,582,879,933,140,103,017,269,129,911,881,
746,103,701,311,990,198,573,030,404,673,320,821,282,904,560,895,677,937,984,
311,245,752,288,964,836,045,255,584,320,513,025,962,761,877,163,499,048,635,
566,155,975,499,137,359,494,130,324,174,150,289,103,744,083,178,716,462,164,
974,459,940,811,103,926,438,918,270,168,119,217,581,408,987,662,571,657,453,
214,653,863,253,225,639,198,088,989,984,921,477,060,473,246,475,173,022,397,
925,373,037,550,956,953,828,119,479,147,454,981,000,963,762,733,668,371,622,
437,508,904,896,086,282,907,608,767,134,956,414,395,396,748,974,806,236,238,
194,138,154,652,020,043,662,144,861,956,307,869,117,622,225,178,713,065,340,
257,383,810,269,972,958,028,846,409,970,091,657,880,864,723,023,238,846,866,
061,679,154,652,305,456,875,237,629,924,408,063,347,189,020,757,243,711,958,
120,688,253,105,240,619,605,456,520,945,254,357,138,766,078,974,957,699,430,
685,163,985,396,735,088,374,918,918,329,165,794,047,319,397,827,612,088,984,
243,540,971,711,394,868,634,092,334,306,749,433,545,842,282,170,138,225,008,
668,616,315,255,014,455,632,429,775,918,414,109,528,477,667,552,476,940,003,
434,031,340,356,854,279,703,453,115,992,312,462,997,377,581,191,526,846,527,
835,875,833,695,016,248,227,586,064,306,974,201,458,851,262,219,448,298,045,
460,680,381,628,652,217,648,020,136,826,101,437,759,287,913,584,679,650,862,
951,254,994,812,116,821,878,832,827,674,656,397,737,137,644,767,261,207,269,
983,915,824,525,117,006,749,812,968,734,717,216,191,873,165,257,767,833,193,
584,792,609,084,721,717,575,790,637,311,519,290,141,843,246,325,549,624,629,
977,008,978,039,661,123,560,511,407,836,976,185,246,489,933,375,332,185,566,
564,303,246,713,356,682,038,919,977,348,842,324,397,115,665,712,851,829,673,
120,572,105,583,627,042,140,107,085,282,529,399,967,585,698,108,287,232,749,
030,791,860,631,229,997,476,630,706,962,991,447,297,809,641,329,744,978,309,
948,772,314,557,929,926,474,396,170,842,197,607,022,314,688,765,275,386,488,
851,499,260,961,326,919,552,411,076,363,944,812,604,103,928,340,694,274,618,
214,171,398,445,053,863,554,840,399,394,520,773,946,522,540,870,107,790,363,
813,353,659,586,493,188,580,671,050,995,786,389,037,557,478,280,165,276,912,
955,869,594,646,915,546,135,497,944,150,246,026,733,539,747,014,496,968,606,
084,066,407,217,801,879,839,923,291,972,053,445,538,232,402,477,050,660,366,
953,035,596,110,494,905,716,016,562,701,104,746,259,915,552,379,768,662,199,
127,455,003,595,985,679,979,582,225,571,585,508,409,411,829,981,548,144,236,
483,756,524,056,586,965,946,934,860,280,484,502,054,743,553,765,240,073,620,
302,893,870,250,303,993,660,059,001,390,091,730,809,532,459,376,028,901,879,
951,890,963,776,330,891,268,258,383,659,422,078,450,832,859,184,621,165,164,
784,807,061,885,640,940,781,843,210,121,762,815,188,249,829,120,123,196,165,
259,232,348,761,725,425,115,896,253,915,704,853,617,296,078,111,013,826,485,
038,577,488,800,597,219,497,790,788,015,459,838,189,220,241,647,972,278,253,
227,275,130,078,500,808,166,366,939,303,596,077,000,267,452,430,936,769,679,
291,986,748,107,291,277,653,083,518,908,496,223,108,274,457,425,182,903,106,
326,152,472,458,174,163,599,671,774,870,283,581,903,726,785,932,265,638,795,
167,729,587,197,132,640,581,645,859,265,230,972,441,237,277,742,028,226,596,
804,526,240,218,843,519,150,005,257,802,542,318,682,752,940,617,497,615,407,
687,586,919,029,502,118,803,596,606,778,761,800,918,432,935,653,874,642,626,
076,278,205,182,913,860,399,663,307,261,226,442,220,320,026,765,909,313,263,
993,044,973,560,436,301,875,059,596,976,136,679,225,981,959,409,340,511,288,
473,304,648,753,782,955,009,900,917,146,603,635,959,640,878,197,551,562,346,
092,695,908,336,268,071,879,838,097,557,227,986,511,944,344,678,030,843,109,
296,845,435,042,311,785,615,196,648,330,637,461,973,375,598,694,070,932,978,
487,846,901,895,048,684,369,369,609,515,928,795,079,477,851,195,727,642,564,
761,545,073,043,148,027,316,873,045,739,388,810,893,682,096,169,504,200,800,
354,350,142,009,394,859,458,177,192,566,673,355,309,917,669,189,729,244,129,
256,971,474,447,987,430,793,071,642,301,001,795,277,323,201,862,702,825,996,
057,981,382,241,904,602,345,439,140,264,568,852,707,437,716,426,886,342,659,
797,784,043,059,167,411,114,132,735,929,804,365,819,862,710,599,559,052,663,
095,402,589,957,259,419,595,868,781,153,759,932,346,274,177,781,191,704,051,
605,613,833,119,619,363,484,140,317,536,442,433,622,540,510,650,046,807,131,
366,278,036,645,842,028,858,568,276,578,443,876,596,456,419,012,670,747,248,
898,458,139,249,997,764,094,531,990,826,823,005,306,583,565,115,871,642,603,
276,935,886,481,171,905,332,467,927,996,786,252,685,872,501,227,914,998,564,
796,115,340,633,780,215,083,289,449,241,786,034,753,333,369,981,285,232,668,
513,988,732,269,333,481,052,837,548,064,869,658,531,072,224,325,823,229,297,
541,116,701,531,786,286,108,092,161,730,525,944,153,994,490,375,737,946,493,
386,773,940,490,719,350,739,983,698,928,462,195,129,406,375,800,537,052,379,
624,717,972,254,054,862,645,580,135,396,992,708,894,069,134,868,021,506,745,
754,380,860,150,672,267,064,698,839,686,726,316,664,182,739,848,646,381,470,
661,949,059,009,365,207,296,396,059,197,889,105,808,994,789,682,557,283,993,
489,305,713,901,311,587,175,726,939,679,081,325,456,877,430,322,925,620,517,
704,503,346,796,761,706,338,689,187,120,461,692,397,645,023,961,884,164,053,
532,048,474,356,202,157,741,213,393,621,987,143,492,841,004,113,695,648,816,
215,160,496,791,445,406,432,272,450,454,263,828,987,291,558,277,093,909,562,
409,499,213,807,841,171,945,437,311,440,566,808,629,073,321,553,753,462,449,
254,091,927,010,188,686,920,224,282,684,448,294,538,213,707,560,679,214,410,
921,774,651,083,023,715,458,308,597,411,028,295,782,453,748,874,585,450,335,
923,514,651,522,799,090,560,375,522,081,120,742,137,919,813,854,167,752,714,
535,170,256,270,547,841,692,651,594,220,950,030,473,850,403,123,469,073,421,
590,272,954,796,929,394,839,578,310,720,584,536,196,004,922,758,463,963,815,
377,893,614,394,902,348,578,797,866,655,248,977,145,788,467,272,108,944,475,
618,200,227,200,280,634,568,431,003,461,343,341,445,996,380,616,807,140,602,
084,487,597,803,844,890,156,161,085,177,699,706,311,016,992,689,439,420,931,
587,764,891,624,676,383,686,931,410,397,840,698,253,306,558,357,187,453,250,
883,390,337,054,678,353,502,674,378,411,275,107,335,415,580,741,276,996,675,
433,409,765,090,951,127,185,475,088,318,995,162,827,929,283,895,988,730,232,
258,210,629,342,236,511,371,450,520,947,565,536,716,812,157,207,055,103,850,
048,160,575,603,024,247,505,243,944,825,119,661,127,782,793,421,886,774,763,
682,929,373,847,664,069,104,478,820,738,652,731,266,734,141,001,503,701,618,
457,544,126,333,042,241,409,730,037,620,876,533,025,419,180,598,008,216,198,
469,520,734,083,071,768,920,703,399,950,926,828,564,969,144,263,023,878,847,
131,064,344,870,930,998,525,915,266,723,955,055,872,910,595,375,039,142,698,
055,209,537,360,177,791,546,907,956,019,770,996,200,658,661,468,754,671,242,
539,162,595,212,488,953,410,491,610,730,319,170,128,828,376,987,647,802,597,
739,067,816,358,606,028,438,472,346,936,929,874,952,803,224,288,292,183,381,
134,105,310,769,111,020,964,955,877,513,366,819,325,305,159,370,669,892,631,
740,558,240,764,545,520,058,690,253,713,408,185,649,551,343,301,022,401,634,
973,855,333,903,932,123,312,647,612,113,746,116,204,488,497,797,703,024,489,
676,816,043,646,788,431,831,110,405,399,817,972,933,424,777,897,720,641,064,
827,979,724,786,994,000,249,941,434,174,009,394,846,492,218,700,579,006,112,
630,170,434,165,777,103,578,500,862,294,673,020,575,407,308,446,649,304,959,
175,708,777,970,383,735,548,054,894,483,708,697,760,534,699,995,112,075,433,
098,287,936,337,301,903,868,495,710,959,648,037,773,173,728,424,407,691,207,
329,464,244,913,284,256,924,990,778,185,305,846,740,206,954,578,601,122,407,
659,836,612,119,776,802,855,070,154,860,181,660,662,291,796,020,144,489,501,
756,709,611,741,261,513,715,506,122,426,149,243,418,174,189,934,287,159,465,
321,452,969,040,558,815,084,181,418,757,201,448,203,189,912,791,014,766,589,
538,590,440,720,013,630,488,033,837,611,097,451,242,248,949,981,155,632,336,
989,279,131,668,800,753,288,890,076,364,585,845,555,658,181,212,836,279,508,
703,876,728,862,142,049,550,632,896,642,113,906,258,657,961,823,097,114,383,
181,724,572,918,618,378,454,245,909,432,486,764,976,396,930,335,722,407,971,
586,263,158,862,185,561,925,146,415,663,893,002,389,502,253,433,151,932,297,
588,726,428,354,090,917,957,372,187,188,323,923,494,509,037,732,950,645,084,
880,990,157,147,591,820,993,987,642,513,997,093,417,383,654,133,719,658,906,
418,332,860,477,514,165,481,537,393,812,126,817,650,305,433,665,597,480,492,
773,415,100,735,741,778,463,830,731,797,473,310,553,448,556,878,609,801,374,
075,261,031,001,708,082,784,285,693,240,132,516,306,067,855,533,437,703,381,
816,451,024,535,963,703,942,232,435,284,765,093,038,611,603,229,434,923,928,
416,194,512,751,027,745,097,946,438,341,658,771,281,104,570,828,418,028,494,
144,814,071,448,102,048,468,457,929,818,343,643,943,401,679,883,701,675,976,
749,172,792,992,610,039,237,928,727,485,867,707,579,191,531,612,905,248,529,
965,046,590,837,290,584,427,005,379,237,632,962,292,468,521,089,523,131,004,
396,476,379,123,839,412,814,303,235,602,814,536,754,907,203,787,078,778,126,
770,419,731,148,676,196,591,078,769,697,627,535,663,179,388,169,991,922,024,
693,411,656,598,670,127,392,835,895,077,693,262,571,477,483,153,280,679,290,
597,195,437,271,154,589,890,782,134,627,943,308,535,279,523,453,755,086,947,
707,222,945,149,595,422,857,852,297,790,127,443,821,667,748,328,723,556,202,
384,824,628,433,910,817,817,231,813,446,084,535,701,334,780,513,276,048,965,
875,462,839,675,581,141,255,949,570,285,976,577,946,092,277,878,441,049,806,
579,434,347,451,190,154,506,922,584,595,610,543,933,625,025,856,574,273,745,
826,678,319,736,865,775,525,623,996,879,433,594,966,175,947,710,561,571,226,
859,815,920,871,908,393,233,866,280,633,249,398,940,884,094,188,621,238,644,
149,261,655,430,041,466,428,458,729,437,057,248,115,556,358,954,843,510,434,
820,958,923,740,050,425,117,618,488,891,063,900,460,739,241,771,090,211,797,
778,755,051,156,947,426,626,201,153,050,847,533,391,809,502,122,457,385,370,
964,208,401,594,914,690,828,527,999,436,289,072,701,319,628,080,236,260,528,
811,986,297,024,484,095,812,561,396,572,600,717,075,433,090,175,613,523,393,
027,927,115,585,438,685,669,177,413,641,332,542,026,790,723,096,769,353,854,
453,772,010,007,463,812,473,930,055,122,101,932,580,707,612,531,696,563,838,
229,805,340,793,300,915,950,992,231,312,757,844,490,731,459,409,048,108,136,
061,325,384,287,393,358,091,884,617,537,876,606,379,553,288,412,531,594,284,
863,614,534,060,116,522,217,020,429,639,083,982,721,133,005,776,882,851,142,
346,885,880,732,485,445,851,943,883,276,346,711,246,533,139,561,448,438,822,
947,001,884,400,449,509,466,565,126,098,454,716,617,965,685,484,829,194,560,
410,242,654,593,285,655,378,923,290,292,043,231,929,276,561,250,144,089,311,
911,376,990,318,805,441,597,534,867,006,550,998,743,316,039,341,002,858,416,
539,414,553,394,261,235,098,352,178,499,595,214,184,537,830,474,615,045,535,
688,251,832,675,809,855,706,961,177,749,201,044,683,864,036,795,336,917,578,
772,521,911,559,029,786,539,271,762,599,371,047,183,314,848,265,277,106,027,
328,119,607,699,818,337,318,118,588,563,955,759,784,212,395,637,269,109,895,
350,793,216,813,201,894,648,466,068,822,221,019,323,504,314,534,015,862,571,
330,244,971,656,345,796,100,526,011,353,846,076,838,535,111,515,641,612,352,
933,478,388,951,407,494,076,103,304,223,989,114,296,880,931,786,783,306,674,
975,526,193,320,145,290,918,694,048,699,859,157,481,806,852,445,166,978,873,
701,399,340,108,325,578,061,802,374,440,115,571,499,484,652,213,217,356,142,
285,002,872,967,737,458,682,419,574,100,272,976,448,068,760,176,531,991,922,
674,084,599,072,856,053,520,107,733,741,759,133,535,082,403,273,554,578,267,
882,445,614,777,869,545,471,056,238,155,128,467,487,546,358,621,170,688,296,
659,418,408,487,253,436,711,231,644,622,790,257,621,911,624,275,673,618,731,
578,679,718,908,939,297,700,193,654,163,289,349,046,921,093,839,675,019,166,
831,649,534,299,514,717,645,435,577,733,041,976,412,088,618,985,899,446,089,
084,355,640,579,362,390,731,385,889,781,871,708,502,164,696,101,227,077,333,
279,522,291,848,076,283,274,257,041,349,222,104,075,613,651,986,995,173,795,
462,837,721,990,442,131,847,012,282,104,633,932,690,052,038,040,440,152,724,
891,666,068,797,209,074,304,784,413,173,099,872,920,347,457,479,855,639,372,
788,547,680,908,007,226,403,834,890,781,808,818,456,617,406,267,570,577,721,
022,242,347,832,695,626,308,749,545,968,733,264,382,298,375,172,449,087,380,
237,740,829,746,020,325,146,218,482,023,332,822,881,823,319,927,321,672,302,
960,009,084,330,297,032,998,598,866,244,737,229,617,959,940,821,748,668,082,
341,570,384,054,974,536,327,406,703,929,336,027,877,534,854,780,049,042,229,
204,355,517,117,163,829,467,445,731,928,170,312,720,212,359,076,053,801,823,
238,608,884,789,132,811,315,097,028,879,479,062,894,768,457,837,937,164,968,
152,822,136,564,904,148,998,603,488,215,780,164,290,233,754,772,756,560,337,
252,919,936,016,131,884,353,426,685,868,270,860,172,302,938,691,068,646,856,
827,519,095,974,342,472,183,639,813,761,200,206,368,776,693,362,318,146,710,
540,337,473,974,022,006,107,653,265,755,755,268,277,296,860,105,025,551,777,
218,299,755,399,551,997,868,444,565,305,547,440,731,523,736,292,131,786,877,
833,142,739,667,867,427,021,395,506,104,632,525,064,850,528,520,003,464,985,
917,229,165,403,830,279,636,027,915,074,288,666,721,385,376,971,685,237,114,
927,049,645,506,794,959,844,925,936,299,452,299,579,097,493,404,590,650,544,
785,131,472,018,292,565,695,206,426,279,309,678,458,628,590,221,253,595,608,
640,883,201,217,510,943,934,777,044,054,230,911,940,504,894,575,337,165,128,
642,705,924,433,434,824,338,866,519,931,124,035,605,164,022,228,614,352,415,
405,405,423,808,178,096,291,222,137,716,105,688,508,487,907,123,188,783,190,
791,119,492,532,026,811,265,774,983,241,244,832,765,770,082,483,099,089,886,
773,841,871,104,108,636,163,466,571,954,531,698,969,369,752,201,325,674,884,
321,418,793,444,030,092,743,170,759,652,395,829,460,147,603,239,113,229,120,
520,189,434,776,942,529,310,218,274,855,583,153,824,556,942,317,562,516,922,
104,759,752,555,024,604,983,224,125,543,269,651,224,631,598,329,685,917,967,
067,206,353,944,397,044,894,812,110,603,771,376,204,213,690,352,259,372,247,
797,260,513,477,134,618,677,612,940,497,019,437,036,311,093,592,538,310,295,
231,747,840,556,007,850,002,688,405,516,150,401,826,242,471,114,310,436,454,
841,014,453,668,289,342,573,394,756,040,538,710,894,654,310,420,371,988,856,
564,427,782,273,399,410,889,579,756,753,839,742,279,354,357,360,414,974,117,
159,876,402,445,323,991,718,703,410,389,601,272,383,865,304,315,040,934,228,
466,788,927,820,641,670,512,025,094,600,519,410,728,328,780,623,135,608,976,
972,529,376,984,648,716,695,909,039,339,018,541,925,854,732,887,285,814,836,
601,611,146,149,222,636,979,978,644,136,345,989,334,024,634,450,727,872,118,
892,524,679,536,361,998,416,522,426,479,931,385,595,625,470,951,078,481,920,
723,512,940,468,328,093,922,993,004,081,169,432,265,786,272,319,499,480,038,
125,910,678,413,976,551,524,964,252,075,642,530,903,971,248,808,871,129,119,
643,152,263,599,276,731,665,671,280,392,022,606,185,376,191,580,473,639,173,
971,095,289,163,993,244,984,100,976,067,318,248,307,171,592,297,745,667,167,
790,653,008,425,111,328,221,227,026,718,702,464,102,964,501,328,456,980,752,
669,744,149,329,805,863,086,637,274,199,157,877,483,292,821,855,351,402,192,
381,653,759,505,257,491,310,044,818,206,131,601,110,432,164,761,821,445,238,
745,232,531,783,525,277,199,743,584,094,366,875,442,187,274,137,035,332,103,
404,362,024,669,584,362,936,173,600,036,773,399,572,218,834,509,298,233,021,
630,410,421,429,480,588,049,012,566,378,247,406,936,837,021,260,635,140,851,
909,496,953,786,355,123,834,168,763,636,741,485,567,853,289,263,368,287,357,
987,074,532,843,024,296,178,315,011,222,482,624,191,670,035,641,243,919,696,
818,706,966,923,247,548,037,583,076,405,078,701,375,561,224,385,568,405,463,
608,470,758,913,063,103,746,466,610,266,632,058,486,868,885,875,501,189,618,
990,910,257,249,573,174,976,506,416,133,836,320,477,681,578,162,614,299,355,
563,918,017,736,367,948,673,068,388,023,409,016,442,233,360,023,516,616,500,
017,211,545,699,934,928,109,990,844,117,479,737,826,912,906,066,220,729,448,
376,994,726,566,607,514,945,044,222,919,409,155,736,496,484,697,104,164,783,
851,086,651,396,300,870,958,723,224,393,959,255,769,282,339,211,884,613,987,
585,434,503,488,879,020,099,825,409,498,838,254,547,793,893,855,970,866,710,
768,023,948,249,445,272,378,020,896,570,379,496,669,179,811,864,331,222,868,
340,857,495,149,631,418,126,980,984,851,484,156,399,444,949,718,705,968,084,
501,449,096,805,811,638,219,290,083,988,513,772,817,308,392,746,974,474,116,
033,392,586,118,624,605,122,251,165,245,849,099,920,689,442,350,299,527,290,
209,325,240,927,996,158,201,385,287,871,915,533,265,119,249,933,256,303,470,
038,984,658,374,768,835,035,866,146,382,032,402,241,633,602,519,505,556,906,
588,469,852,437,908,067,353,637,640,152,592,741,279,806,218,632,354,999,634,
326,032,899,054,931,279,430,297,033,661,825,187,594,135,092,962,929,214,832,
936,136,367,688,819,984,142,232,990,623,555,957,591,261,774,698,313,993,184,
916,297,126,002,355,066,701,534,419,084,944,913,371,978,013,677,856,041,799,
873,745,942,433,743,040,584,873,752,558,689,242,034,290,635,377,949,071,929,
257,269,874,687,418,123,248,892,133,674,023,204,224,305,041,042,580,712,585,
296,956,857,598,810,193,732,025,142,815,744,940,799,621,389,587,763,936,053,
534,064,820,994,066,131,846,639,338,274,241,573,635,899,526,182,104,048,179,
475,798,508,148,551,362,748,076,458,894,540,190,561,256,189,497,554,405,924,
816,774,002,290,101,362,743,234,749,890,768,948,435,407,839,163,740,497,465,
723,379,316,683,015,070,194,479,563,150,380,264,751,054,312,252,438,885,297,
281,659,810,089,266,252,435,262,302,885,391,160,543,682,097,376,344,158,090,
705,220,372,680,575,236,252,695,056,022,832,710,077,970,343,705,928,929,180,
887,616,431,802,527,306,292,946,627,099,092,473,398,389,478,587,959,111,157,
129,649,173,673,444,482,167,669,407,048,523,599,285,409,061,136,343,176,828,
079,134,279,687,699,611,812,619,024,688,905,271,738,230,856,218,018,845,787,
969,844,196,942,002,022,131,354,889,179,322,818,649,578,196,726,757,854,883,
499,584,840,719,437,642,511,350,124,856,713,153,069,551,736,738,986,643,319,
128,908,225,635,374,731,894,710,288,321,659,077,523,029,101,035,499,704,603,
195,626,294,081,148,722,499,931,287,325,139,795,301,120,336,268,052,673,476,
475,483,748,521,072,948,553,809,430,441,780,013,226,614,437,709,625,716,818,
177,998,046,440,731,341,160,132,797,356,141,837,324,185,004,095,535,096,226,
046,622,133,705,181,225,291,925,269,607,709,064,209,990,191,320,716,652,818,
176,812,901,863,971,790,345,545,647,162,397,497,321,647,232,832,592,551,793,
032,283,354,154,049,234,116,062,120,434,581,615,233,853,745,894,249,233,511,
488,699,629,982,562,670,774,126,734,691,048,369,647,791,440,430,212,500,214,
898,729,139,089,107,668,243,974,760,963,662,674,079,516,093,016,095,508,912,
537,093,376,199,119,719,564,891,787,303,947,142,092,974,970,948,877,032,486,
762,411,170,720,708,892,412,682,773,976,589,822,418,783,312,210,399,170,323,
730,205,180,638,880,608,187,197,195,401,082,030,900,155,644,283,289,608,256,
843,265,231,138,920,892,999,128,843,138,105,855,086,166,330,507,336,512,945,
717,332,002,335,356,740,709,578,030,543,993,113,526,031,915,284,960,869,411,
200,461,784,813,559,295,931,452,798,529,611,870,872,360,622,356,378,641,233,
459,620,483,630,180,103,619,035,592,218,805,714,444,051,590,813,547,543,547,
594,845,327,344,029,933,357,803,918,256,984,629,924,942,318,638,522,899,123,
599,884,296,309,576,597,035,876,007,421,715,934,634,405,887,228,654,681,448,
714,674,265,726,191,617,838,392,443,823,345,702,853,660,860,585,921,254,225,
512,900,345,896,582,311,827,307,171,122,663,954,087,354,809,451,035,145,761,
327,166,432,859,134,383,443,493,356,721,164,923,288,404,012,322,589,028,898,
213,468,803,308,543,818,908,801,804,757,331,646,766,107,667,192,470,523,302,
857,057,773,998,665,228,555,602,613,941,727,965,184,198,847,166,192,005,682,
287,187,431,756,873,100,385,870,690,489,250,049,642,897,240,875,990,758,024,
120,331,316,007,359,456,696,012,110,411,955,495,880,089,879,017,393,022,254,
030,254,360,826,711,777,933,473,270,454,789,004,245,719,778,826,658,500,249,
532,190,924,194,544,899,743,308,691,912,862,160,004,558,014,825,577,827,646,
272,539,432,610,442,290,342,369,868,635,371,376,550,047,951,268,559,596,757,
555,148,858,595,805,134,379,000,827,311,382,317,897,504,740,641,432,493,543,
781,796,964,985,805,404,149,552,743,252,004,418,144,194,711,496,004,713,838,
863,532,140,911,311,725,456,156,483,903,732,370,797,090,864,197,117,931,719,
218,291,341,127,378,256,874,617,177,557,433,167,980,224,711,865,172,161,499,
980,437,923,611,341,675,503,081,580,620,068,714,540,014,189,965,966,015,228,
919,390,634,930,413,117,732,368,943,151,899,071,481,027,888,401,827,872,798,
016,662,538,696,437,682,505,368,462,927,613,473,280,924,184,790,837,035,518,
874,528,962,325,082,428,880,667,391,649,366,200,415,103,490,032,845,142,767,
715,783,460,505,866,919,912,204,673,920,404,337,804,715,858,358,363,034,142,
881,431,156,791,682,966,531,011,274,663,137,586,455,853,888,686,614,763,087,
955,588,052,144,021,756,552,552,372,725,800,430,880,543,249,461,463,268,803,
628,545,348,065,404,371,039,627,417,622,954,179,784,017,776,860,220,535,776,
443,396,465,554,028,456,121,867,611,195,377,666,920,608,032,131,442,564,470,
240,987,799,658,756,752,308,860,996,204,674,458,756,669,754,851,605,408,586,
444,717,806,869,958,644,103,792,753,979,404,015,610,289,298,606,859,902,957,
642,131,117,104,555,275,815,462,039,481,907,670,973,381,990,117,206,790,907,
738,449,090,743,419,922,473,715,871,469,270,624,160,255,314,594,182,290,010,
798,381,452,724,496,717,937,239,578,889,490,709,099,923,326,946,258,086,276,
216,554,075,279,935,547,676,741,795,084,876,864,382,008,554,513,692,981,220,
958,462,174,389,007,921,070,484,237,752,756,401,651,636,128,047,905,480,308,
754,140,847,974,151,727,337,051,428,652,940,842,402,107,866,675,924,242,309,
221,520,059,013,019,526,888,354,090,055,895,539,012,613,869,558,167,969,500,
194,339,647,190,477,588,052,738,169,239,824,278,523,545,927,846,772,286,258,
969,765,837,991,417,277,992,895,932,141,148,775,289,042,698,153,216,554,517,
784,373,022,145,138,546,323,491,920,667,851,545,254,970,295,674,061,266,370,
946,523,581,982,805,783,690,008,788,200,172,251,369,891,224,913,719,972,686,
511,656,224,903,791,376,574,417,283,154,213,840,342,111,359,971,569,159,705,
543,475,500,381,687,791,331,893,637,184,448,845,780,297,847,949,563,341,973,
360,199,906,496,018,450,652,842,931,503,200,626,846,024,138,578,702,799,018,
743,359,745,081,206,697,967,967,723,286,695,191,560,747,270,561,355,793,657,
189,033,475,348,591,401,023,785,772,829,824,254,303,668,455,246,723,994,681,
384,216,721,929,134,694,148,268,090,565,108,621,672,116,689,363,543,889,167,
610,796,674,342,649,125,490,407,618,918,837,859,096,843,651,190,622,741,632,
114,416,693,448,147,038,947,034,017,336,630,705,667,332,388,743,424,590,566,
528,398,471,834,103,586,591,729,354,418,629,369,292,925,743,359,615,116,474,
637,818,888,726,738,106,714,576,983,271,998,140,634,205,440,916,764,335,991,
270,674,195,199,770,543,903,015,300,611,933,218,921,061,040,061,614,107,124,
654,034,042,762,345,124,740,206,372,389,173,310,040,217,497,630,630,768,948,
003,260,340,071,808,311,128,923,828,584,200,564,262,030,838,855,793,276,616,
876,933,868,025,976,717,256,446,376,712,145,008,034,584,155,278,806,013,613,
710,746,863,743,762,056,721,620,820,280,890,207,150,512,020,325,775,183,910,
069,237,012,226,059,387,627,716,215,194,739,453,581,435,595,528,161,179,736,
792,385,080,758,569,968,190,409,290,936,336,226,467,372,100,057,090,261,865,
244,741,070,310,955,523,379,367,397,093,066,435,340,928,717,665,116,253,923,
155,777,119,249,248,331,314,526,304,083,370,117,854,154,594,178,367,896,831,
911,220,375,350,224,071,208,167,751,306,700,296,053,541,689,476,837,833,296,
201,618,382,860,849,434,832,081,832,593,044,314,571,838,331,641,231,430,940,
501,710,767,190,763,135,876,842,246,980,869,032,905,025,339,646,763,669,687,
499,501,883,365,960,393,114,403,287,935,217,634,203,991,954,544,836,377,938,
178,818,009,972,438,307,271,727,676,618,060,288,435,577,666,606,097,776,015,
687,850,044,097,235,024,607,535,372,460,564,974,588,218,412,261,386,780,298,
295,068,524,937,277,455,364,116,928,511,170,174,687,624,411,335,761,591,513,
273,990,280,503,897,076,939,532,042,848,108,899,677,751,569,087,432,440,136,
480,315,653,049,673,862,202,612,212,885,941,862,813,708,853,834,669,637,548,
037,375,956,753,822,423,151,079,766,325,922,695,276,127,226,636,973,506,309,
111,718,970,082,604,034,589,648,633,000,735,151,110,786,159,750,662,922,358,
795,070,423,839,522,520,438,198,042,420,632,189,804,064,774,388,725,956,695,
527,405,063,279,019,419,580,364,947,748,202,095,061,373,176,541,701,188,906,
934,805,740,453,271,881,310,668,444,368,232,203,101,520,257,237,898,784,876,
637,619,436,034,366,396,643,703,252,255,676,251,680,905,183,751,694,830,369,
881,941,813,209,784,406,840,902,765,576,761,244,967,482,345,890,016,613,043,
516,464,088,485,700,741,179,511,413,344,878,377,695,315,062,851,914,559,938,
842,120,384,269,119,155,460,070,441,917,542,312,141,297,695,936,971,717,951,
527,082,434,538,349,221,474,187,224,128,342,518,726,596,030,153,958,412,787,
233,736,947,565,175,901,831,549,138,007,614,055,637,431,390,407,464,366,331,
559,268,729,852,821,711,755,477,015,900,146,257,583,654,231,408,880,914,701,
890,615,552,212,769,482,379,211,352,817,918,711,225,074,586,694,973,949,755,
924,487,850,709,504,192,113,135,247,163,438,781,619,565,437,292,912,660,622,
549,259,784,324,722,560,411,423,112,819,244,339,575,095,352,726,826,859,087,
102,754,775,296,884,609,329,544,303,328,935,300,775,447,495,761,487,561,901,
364,197,638,861,141,947,922,150,766,237,151,381,013,626,724,284,393,153,838,
809,860,043,392,925,734,774,048,190,485,666,157,707,484,786,024,980,259,508,
729,872,516,484,421,258,564,133,132,712,988,298,649,432,081,935,913,125,652,
524,700,883,647,521,047,520,552,811,154,009,884,056,163,674,495,550,524,330,
886,816,610,799,667,126,429,769,241,244,169,682,752,338,183,371,234,043,612,
179,161,982,840,801,005,995,808,933,634,643,887,967,681,727,215,714,603,240,
811,853,727,699,672,616,246,848,598,351,105,993,361,848,272,659,075,111,984,
696,784,288,788,937,783,722,556,678,107,151,104,614,559,619,375,316,049,312,
391,496,368,630,857,746,486,070,561,555,621,059,636,241,117,062,257,204,479,
230,172,772,998,859,649,869,485,927,321,822,884,277,322,129,526,202,367,855,
659,631,074,684,707,847,202,745,774,461,755,520,367,922,106,025,495,046,453,
154,850,061,068,382,255,679,268,076,575,801,763,315,421,095,915,771,529,969,
365,531,742,846,161,263,023,768,351,230,988,146,379,392,936,204,971,182,636,
781,633,139,770,583,533,896,240,840,677,661,676,641,816,670,136,608,662,767,
373,733,212,061,447,734,651,012,810,031,715,189,314,448,248,925,326,017,109,
008,290,775,996,779,569,100,829,583,514,677,232,901,633,687,711,070,921,789,
795,653,630,693,732,824,259,215,894,516,143,192,106,470,161,647,184,240,234,
195,458,194,644,628,553,763,509,104,580,062,369,655,520,823,625,487,774,568,
046,287,915,509,715,689,747,097,044,981,430,347,851,289,239,410,962,471,928,
838,827,468,265,779,782,788,066,412,699,161,399,719,867,217,482,359,057,787,
230,627,358,676,972,198,292,742,111,796,402,021,360,506,797,013,714,616,346,
942,929,364,534,055,587,782,766,813,551,023,339,810,248,965,063,260,266,181,
816,676,488,686,695,550,307,327,690,199,164,846,196,074,918,176,464,018,981,
525,573,479,373,632,955,938,068,878,835,345,037,420,026,364,946,464,369,998,
809,194,179,477,977,887,468,580,188,386,641,739,896,004,991,587,605,942,299,
640,341,056,045,890,391,768,553,253,466,058,340,528,827,179,567,808,053,356,
072,853,090,709,357,669,637,626,998,759,524,526,717,782,807,736,631,968,397,
752,174,274,873,447,764,135,044,502,975,886,490,669,108,857,860,700,215,706,
947,696,644,459,707,572,627,475,415,101,233,581,761,911,918,037,599,073,921,
820,085,951,268,628,923,936,770,467,042,200,801,669,924,692,797,327,270,963,
944,427,404,462,695,850,416,463,007,721,181,465,339,975,525,897,001,602,960,
764,989,705,088,505,947,124,472,296,445,285,955,693,534,862,432,923,605,996,
654,337,021,119,563,630,702,771,097,001,048,659,737,392,329,039,922,466,838,
142,278,848,198,717,727,510,867,913,116,780,379,191,018,256,766,115,308,070,
521,439,435,264,973,434,292,468,825,485,797,573,121,588,912,853,299,081,320,
595,891,573,970,494,653,245,536,637,758,381,684,464,269,545,387,424,559,195,
973,698,987,793,719,480,152,417,870,778,763,322,344,582,342,330,965,834,326,
655,894,515,128,921,759,822,576,946,649,479,116,279,617,391,254,748,517,801,
471,877,656,264,964,711,036,602,424,058,732,062,657,990,328,450,047,950,655,
575,947,538,739,758,635,619,437,754,309,216,567,287,629,325,261,630,427,022,
123,986,508,804,164,246,039,928,895,590,338,678,200,252,058,746,685,856,340,
485,012,660,781,841,000,077,411,521,014,899,770,285,779,040,133,916,680,691,
459,201,534,660,952,258,773,361,645,078,647,817,490,422,863,876,768,544,730,
347,670,028,226,463,497,785,216,625,063,954,076,392,559,821,478,438,722,665,
492,019,516,030,454,411,322,408,656,326,924,640,819,870,450,546,499,569,978,
429,880,510,603,949,675,472,529,181,652,697,086,811,566,805,492,020,225,970,
005,734,674,936,341,617,959,885,236,668,756,343,793,118,152,822,053,192,432,
981,426,140,475,877,249,127,850,819,856,421,928,372,803,494,979,600,718,625,
431,097,269,921,113,626,057,432,604,764,830,461,489,234,580,768,791,800,431,
251,215,012,457,063,504,842,619,439,410,007,065,901,934,568,535,189,561,827,
075,496,015,814,479,795,724,387,753,841,795,429,124,878,862,412,053,844,687,
669,713,223,106,363,117,343,379,277,702,258,851,370,503,679,216,069,649,596,
520,018,892,488,859,703,491,583,830,317,193,507,090,131,081,225,437,060,919,
622,719,469,202,133,189,446,091,880,769,812,675,424,134,513,774,914,273,131,
108,247,984,773,846,583,460,172,628,548,681,194,995,670,135,373,162,491,152,
534,239,782,842,076,466,658,753,261,088,619,701,157,461,555,020,392,713,049,
249,339,711,752,103,263,345,854,154,064,968,163,287,491,502,716,262,214,234,
332,251,508,702,802,797,397,624,542,362,802,437,539,999,487,323,972,209,105,
648,228,073,707,548,970,820,955,272,465,108,855,701,501,648,787,424,729,070,
833,357,765,316,928,795,268,018,629,680,699,587,670,967,421,438,705,678,292,
900,018,082,439,106,206,746,571,886,312,187,700,697,373,308,518,494,635,713,
589,420,157,378,036,055,485,635,202,764,072,690,853,575,837,804,347,694,591,
479,826,993,220,582,709,016,177,232,634,861,699,092,761,052,224,976,229,673,
226,932,374,862,531,367,118,417,199,598,604,250,680,884,574,788,058,502,883,
123,335,065,536,307,345,983,586,598,491,869,501,076,589,712,935,928,533,597,
539,955,357,470,680,827,310,241,119,537,281,637,323,856,950,503,645,111,640,
371,876,997,557,040,255,441,440,388,351,709,871,426,022,506,227,547,070,081,
895,134,584,637,082,568,676,851,024,024,592,750,922,319,865,029,570,707,484,
817,087,760,242,982,475,218,754,568,156,207,559,627,638,084,639,812,262,981,
795,287,826,048,067,886,295,590,589,666,450,784,745,312,161,970,483,163,626,
803,993,500,359,876,678,974,898,569,227,223,907,110,056,663,078,408,851,854,
892,590,656,667,368,200,613,200,992,266,707,003,780,233,508,083,678,596,155,
268,493,535,738,413,582,745,991,982,360,480,423,756,053,806,364,472,528,846,
773,469,809,009,342,143,228,542,803,989,194,615,025,102,196,790,953,538,077,
839,007,413,124,729,458,754,246,739,940,268,367,274,987,711,447,089,336,008,
434,653,667,523,259,718,342,360,313,089,779,518,518,822,626,376,271,976,693,
806,577,142,149,905,582,989,903,516,293,284,429,909,923,977,026,699,430,310,
869,690,761,992,503,536,796,353,678,662,591,195,288,599,034,792,938,235,496,
730,441,638,951,418,052,521,504,547,206,449,414,038,979,863,553,568,554,230,
765,372,784,569,107,554,205,363,773,304,786,667,603,968,924,161,137,881,495,
877,507,875,722,760,233,601,914,753,492,517,007,554,568,871,241,493,295,701,
532,931,692,214,370,377,560,338,241,097,096,740,376,943,241,791,578,174,417,
729,110,813,438,341,033,845,432,283,087,007,080,903,260,593,856,211,281,395,
858,193,162,920,708,449,381,714,083,822,664,007,045,934,251,154,096,400,633,
066,211,932,753,845,112,163,587,626,422,330,809,611,596,193,195,957,246,126,
599,894,495,987,189,416,166,225,144,385,234,576,892,289,797,675,525,277,993,
140,690,987,207,440,613,613,551,145,547,069,294,850,900,964,089,100,317,818,
994,961,393,855,486,284,680,322,763,716,314,608,342,925,070,679,658,754,769,
207,482,373,240,991,000,889,909,583,950,820,974,192,523,027,147,383,947,450,
052,969,670,075,901,071,602,966,665,030,556,251,816,098,465,266,040,666,285,
560,708,232,559,913,201,357,487,491,456,466,736,555,341,267,933,934,161,195,
005,614,146,942,048,849,992,177,202,796,065,028,317,010,884,644,077,977,568,
105,152,239,468,342,250,941,196,752,789,013,546,774,630,011,426,644,262,149,
153,406,169,811,622,001,068,424,177,883,378,058,051,895,603,025,601,695,897,
811,670,192,819,419,876,549,365,285,891,467,742,206,748,652,503,909,237,041,
821,146,933,477,875,061,594,870,439,921,263,540,064,830,610,511,615,407,320,
670,739,242,647,655,660,873,198,443,204,959,218,578,185,654,700,445,406,365,
128,683,450,907,932,803,881,290,379,433,147,099,874,472,807,638,693,480,186,
860,765,070,081,964,174,050,574,085,229,641,055,249,184,066,703,770,431,655,
370,148,282,777,852,845,032,025,612,172,758,771,917,369,837,374,790,111,523,
776,683,410,518,191,902,255,841,662,068,017,746,153,712,164,443,876,352,854,
712,732,562,255,560,788,098,992,478,754,340,034,817,185,051,993,951,012,571,
461,032,945,938,911,730,341,533,220,923,201,153,933,973,830,807,225,178,793,
754,920,624,890,470,275,519,093,307,963,320,220,805,096,774,178,895,756,052,
176,224,515,999,706,146,370,803,888,084,427,549,097,136,671,071,402,701,709,
732,694,626,077,031,057,786,309,008,016,782,278,011,064,862,179,720,060,056,
295,158,279,230,908,702,900,293,037,261,692,866,448,829,989,904,499,607,206,
083,595,017,977,446,014,627,462,062,991,684,217,663,224,299,149,811,463,063,
109,830,601,081,055,985,194,275,639,558,766,531,064,259,298,936,218,802,304,
237,498,589,108,681,352,681,780,066,599,225,998,067,513,459,952,251,526,892,
706,190,096,836,279,769,034,701,023,264,801,428,438,732,574,135,276,060,708,
093,699,831,052,098,868,548,800,523,542,722,721,589,103,990,494,389,214,473,
753,777,615,359,179,133,507,440,516,434,773,053,354,067,920,043,787,918,034,
912,769,697,704,789,144,853,822,787,288,676,851,105,376,590,601,361,160,514,
146,913,889,337,663,255,818,765,021,287,566,251,375,925,413,960,936,636,040,
759,363,216,876,381,044,474,994,289,065,901,479,021,265,297,231,191,584,992,
500,596,842,915,079,082,319,931,206,359,228,734,423,069,750,024,961,049,768,
236,301,725,199,498,808,871,249,972,342,441,291,330,457,965,959,909,070,279,
372,537,797,239,711,199,793,571,892,889,816,930,140,927,617,603,900,830,746,
403,415,261,120,492,880,857,046,772,272,322,037,901,034,116,283,178,561,921,
084,603,814,363,011,444,576,590,818,822,378,275,975,173,809,629,339,335,506,
479,576,179,444,333,982,126,180,574,402,230,762,354,453,709,266,018,483,654,
630,653,687,458,685,839,479,296,052,635,609,637,817,909,170,521,862,364,362,
607,704,692,049,410,656,342,639,451,377,381,816,325,371,497,921,241,989,905,
616,905,374,213,440,375,473,351,947,702,226,789,616,292,139,542,167,095,878,
605,552,244,007,280,362,876,107,462,679,909,503,131,593,363,193,710,419,109,
503,623,380,087,262,517,558,470,920,738,320,865,263,382,008,295,031,534,746,
982,304,629,524,291,728,502,260,066,595,866,419,699,046,229,461,953,319,466,
213,329,882,283,840,229,268,390,695,894,903,477,789,557,341,881,914,122,582,
363,787,470,692,121,152,554,753,677,163,451,798,839,306,342,982,518,617,641,
467,314,760,762,436,005,400,600,037,021,109,335,720,623,447,027,714,955,244,
562,605,696,255,961,138,372,379,930,172,147,947,088,229,434,318,864,866,929,
956,135,019,149,105,792,070,098,298,237,663,121,930,638,051,102,777,585,153,
023,478,175,498,559,617,942,112,982,444,432,865,146,988,484,439,866,373,285,
180,871,328,767,523,741,815,135,795,169,490,248,619,648,278,240,813,632,039,
397,553,146,765,269,145,560,530,791,583,396,137,366,196,019,280,642,222,753,
213,610,549,242,284,505,386,386,518,786,538,793,133,177,637,181,126,846,851,
377,230,432,056,373,268,917,214,534,562,804,732,612,072,648,297,523,140,614,
678,479,591,852,249,616,400,833,964,695,953,979,756,174,932,953,928,707,087,
909,111,456,555,909,258,806,692,561,432,052,938,300,478,863,835,945,788,595,
323,804,977,955,040,645,112,334,505,754,470,698,918,560,928,508,760,039,160,
546,971,228,460,424,009,113,695,835,249,674,054,289,564,720,076,551,051,439,
072,532,812,770,376,358,375,366,331,964,432,604,873,896,283,268,064,739,947,
294,593,655,970,029,579,373,933,174,747,508,256,286,734,933,825,028,819,549,
180,311,409,395,399,567,604,516,710,235,363,011,476,579,017,068,358,881,401,
063,213,135,729,566,464,812,636,101,393,695,737,274,509,678,092,965,955,193,
920,111,944,863,198,026,533,534,388,393,840,353,420,052,591,294,836,299,213,
881,264,981,171,606,472,248,565,881,661,809,618,067,258,228,434,959,674,921,
692,040,989,145,773,242,827,610,897,117,393,080,272,994,984,544,267,925,457,
826,027,264,923,305,045,428,102,201,212,874,300,423,279,385,824,908,870,956,
522,506,987,718,592,293,469,008,114,020,755,272,590,289,048,896,675,138,228,
334,701,300,825,720,350,452,027,657,224,394,391,352,056,422,622,045,583,165,
247,815,299,938,354,033,319,103,852,504,549,576,997,923,605,493,994,559,056,
777,979,891,461,776,695,248,549,230,580,079,141,177,295,226,235,161,071,567,
950,858,253,666,180,537,108,104,730,544,159,299,362,422,331,613,744,981,425,
868,904,934,251,063,714,744,399,209,569,749,490,711,887,556,256,474,376,069,
922,854,570,287,627,975,357,340,810,805,559,817,340,302,140,481,144,705,885,
277,373,243,563,362,239,916,523,022,217,436,805,738,062,490,547,268,081,918,
993,588,143,672,209,791,371,468,783,510,331,263,125,035,505,937,527,353,232,
417,454,395,528,703,923,034,704,225,098,708,069,308,379,645,016,264,042,448,
292,037,741,912,506,507,201,795,450,359,878,440,942,403,717,958,039,375,990,
379,642,918,396,841,272,754,113,774,652,790,286,356,834,879,634,501,018,975,
140,206,119,829,765,208,009,073,693,285,026,906,268,299,239,378,523,011,543,
223,919,355,706,579,338,176,582,699,562,145,406,327,117,847,314,636,445,868,
989,661,501,473,032,212,227,718,833,491,161,154,373,891,754,291,105,863,825,
275,280,347,004,491,033,715,325,134,116,613,309,704,272,992,542,251,146,934,
000,979,816,474,475,030,086,605,844,364,924,354,086,285,440,688,412,192,150,
365,065,592,088,198,869,559,039,053,781,479,557,901,835,610,116,247,028,872,
635,480,882,445,641,025,661,238,122,202,203,451,063,827,924,691,040,224,945,
131,728,170,124,996,600,623,803,242,651,433,329,834,793,217,339,136,803,690,
868,808,398,195,936,402,896,589,549,202,089,625,921,476,838,449,432,250,978,
001,341,380,388,880,611,281,732,709,254,865,776,148,823,948,298,637,381,958,
269,907,071,999,429,995,942,013,358,569,467,156,460,875,785,183,423,046,680,
957,157,400,099,521,004,462,613,326,814,332,859,151,438,838,993,369,700,707,
767,088,580,757,703,866,744,831,059,519,757,350,638,386,532,147,858,513,568,
520,528,276,386,257,078,439,570,771,442,078,541,175,197,187,079,075,435,012,
909,889,627,680,617,668,227,012,705,221,096,493,625,885,043,779,570,789,616,
234,706,584,035,605,343,893,980,088,395,138,159,973,484,232,849,668,399,011,
121,943,153,719,599,391,518,912,126,302,603,689,661,135,817,789,040,489,986,
024,216,640,146,351,439,137,696,322,401,551,929,216,255,158,745,851,459,988,
644,262,606,450,056,872,345,435,554,771,894,249,342,091,354,819,810,078,603,
667,112,657,279,367,848,187,722,834,845,614,951,961,208,880,898,500,981,997,
158,582,034,660,851,676,431,821,569,326,137,967,990,669,725,770,140,799,079,
171,798,712,891,175,655,151,405,722,453,551,156,552,036,811,751,888,423,870,
669,119,214,025,424,776,539,531,038,102,324,801,187,413,621,132,841,651,389,
737,796,804,753,804,065,716,551,239,985,043,377,046,971,844,026,967,871,770,
661,496,693,928,546,962,257,252,803,305,053,793,660,146,676,610,832,958,082,
848,414,074,850,488,154,001,601,884,833,749,829,247,479,077,009,385,940,549,
263,897,237,130,639,366,641,360,673,573,893,025,420,327,594,786,859,945,163,
257,799,477,372,667,551,541,912,187,286,493,383,302,487,301,645,475,203,226,
837,928,327,421,735,149,828,894,418,092,292,323,858,017,734,342,574,840,704,
355,418,355,913,088,887,610,895,462,722,623,684,705,101,829,334,370,312,862,
454,522,451,022,678,868,215,868,309,999,325,429,607,801,602,785,796,618,140,
333,009,280,490,310,391,064,158,916,951,777,368,462,461,517,058,833,270,555,
848,136,373,558,258,171,377,461,019,927,625,787,565,124,089,643,049,601,959,
470,390,088,787,986,631,072,743,309,516,773,758,242,987,144,705,858,940,699,
575,454,320,245,790,198,680,950,357,108,372,551,143,711,583,190,326,945,991,
394,657,216,187,112,984,128,929,819,179,045,186,403,270,290,866,577,933,656,
935,372,229,349,720,208,194,716,459,337,381,216,251,036,704,875,652,139,349,
036,470,998,421,027,363,390,610,846,332,209,248,028,867,042,235,250,521,188,
431,968,552,541,694,483,274,245,227,318,866,726,799,011,721,078,258,923,698,
514,266,234,672,349,952,736,429,218,156,141,689,938,401,819,720,473,449,539,
236,823,805,274,493,624,656,410,338,184,147,577,480,463,725,768,011,705,806,
637,891,715,207,278,753,572,829,137,311,541,419,388,790,147,544,221,695,951,
270,471,227,957,743,060,093,781,807,183,423,749,785,361,615,424,625,791,670,
444,407,987,859,205,424,793,343,826,338,566,543,465,007,274,876,714,258,027,
278,279,905,581,620,115,314,352,189,065,034,817,477,994,623,710,434,152,779,
555,284,128,819,171,759,012,353,560,737,946,805,036,268,126,779,473,196,536,
311,883,622,222,986,351,789,528,276,938,901,082,370,773,350,871,281,042,511,
284,443,595,526,606,402,325,920,819,307,248,132,687,352,468,858,391,575,942,
382,420,050,854,596,352,145,595,680,448,597,108,348,045,787,475,158,956,989,
319,783,996,298,234,209,937,588,986,097,795,376,257,401,765,995,300,986,597,
661,094,010,394,149,752,494,426,728,703,463,526,227,763,312,039,328,888,246,
711,993,254,115,794,929,401,689,643,155,002,761,513,168,900,469,942,575,100,
900,363,975,443,314,144,420,955,461,754,496,018,571,064,298,269,602,571,519,
827,368,325,854,703,753,810,463,845,603,304,314,006,795,425,696,206,695,862,
276,664,379,024,680,611,737,406,715,138,719,848,306,829,396,637,185,616,127,
953,021,854,179,259,204,445,468,752,026,682,481,193,189,047,357,750,280,220,
526,445,170,861,262,625,359,616,286,491,326,710,243,881,668,133,329,094,589,
522,838,494,095,618,917,156,323,776,055,183,330,384,237,783,217,338,015,746,
593,173,481,622,971,024,221,589,365,388,803,248,684,690,322,678,902,042,219,
798,246,090,654,037,007,762,606,980,315,315,956,885,596,832,319,583,958,632,
902,454,799,288,780,571,327,949,003,375,793,003,626,672,082,159,559,402,577,
512,492,860,621,483,826,704,635,529,757,885,059,733,560,516,233,351,868,288,
174,297,457,270,421,769,308,117,125,471,901,937,951,350,911,267,287,441,316,
214,175,348,530,931,777,154,718,120,679,474,121,480,399,336,983,656,153,248,
523,313,477,131,477,099,707,129,080,976,764,080,507,946,299,314,786,463,617,
018,374,996,996,559,220,351,654,616,919,355,629,143,817,226,366,240,318,235,
409,452,091,068,773,978,055,913,463,617,861,508,772,750,132,125,549,605,568,
519,209,163,816,921,363,192,930,849,124,939,727,070,217,837,427,195,983,332,
754,663,077,778,690,635,999,853,312,043,950,009,879,244,629,761,996,339,642,
261,888,167,211,514,521,068,077,822,552,827,975,021,108,881,701,860,631,403,
305,608,310,045,589,828,056,124,964,494,598,725,335,902,411,651,956,981,945,
206,979,747,673,226,931,004,934,834,288,265,136,459,984,071,626,789,619,280,
836,201,426,718,575,943,326,782,848,102,358,481,813,415,899,440,845,200,066,
964,129,463,335,573,815,552,537,883,723,982,286,171,207,009,716,482,486,412,
638,712,244,792,423,973,805,382,674,475,583,654,698,446,735,941,978,570,410,
461,678,224,395,267,858,459,099,819,644,926,274,502,288,816,675,668,921,128,
310,563,794,637,685,686,117,532,999,723,208,709,501,815,654,642,776,581,846,
912,493,882,143,444,703,002,154,733,918,554,269,490,278,415,879,637,826,379,
767,233,051,536,923,265,896,402,034,705,494,283,591,961,388,625,979,850,431,
718,929,185,018,318,607,681,165,847,033,432,328,976,117,732,474,938,578,303,
928,224,873,174,010,849,205,026,269,878,064,729,923,197,507,712,391,133,692,
325,605,998,156,307,249,532,627,521,632,865,235,202,182,099,907,575,443,647,
443,780,936,575,290,977,735,071,148,878,101,153,933,155,285,981,959,441,142,
432,002,819,217,360,630,955,917,862,905,599,322,855,439,113,557,799,485,216,
882,276,741,512,158,775,084,561,520,367,342,757,455,334,243,239,596,185,686,
396,598,410,222,143,694,114,862,378,155,179,027,457,554,377,932,181,382,355,
451,006,510,943,436,908,273,996,218,206,721,975,175,143,781,377,645,068,995,
958,697,864,569,909,457,099,226,637,500,711,510,094,328,872,567,549,917,562,
052,905,168,603,398,512,930,944,856,691,924,002,833,480,090,999,538,061,890,
674,196,142,859,190,986,149,115,227,101,266,125,978,396,087,928,227,723,979,
585,434,476,482,506,024,369,567,286,737,007,649,043,393,007,297,481,347,306,
676,482,835,963,691,047,503,013,181,729,611,395,775,397,756,262,703,702,169,
213,680,137,939,854,954,603,752,649,750,777,439,734,793,395,786,441,537,322,
970,582,829,758,327,702,672,541,897,812,508,777,800,930,143,964,811,545,603,
586,919,493,292,359,758,196,146,841,370,637,709,397,919,885,497,682,812,831,
739,116,300,625,797,337,184,764,058,141,135,505,186,123,069,664,458,394,482,
698,438,488,964,230,240,413,177,779,509,905,890,822,184,341,280,800,529,954,
475,925,603,912,566,621,439,432,607,297,690,171,802,420,365,762,878,955,075,
200,721,133,742,037,397,192,310,828,157,769,602,419,745,391,171,638,032,222,
998,243,017,425,222,458,174,367,316,609,107,600,023,633,536,414,399,870,640,
559,692,358,028,128,060,547,280,063,115,626,618,300,984,990,883,617,007,496,
339,087,942,724,223,124,613,495,649,949,189,689,364,191,597,114,662,173,175,
860,395,944,633,239,200,297,979,588,096,309,148,117,954,355,612,502,046,892,
652,346,898,628,135,464,168,826,795,186,094,204,916,947,404,995,022,726,676,
317,069,672,759,658,231,234,949,140,163,885,948,288,541,993,181,392,692,537,
561,879,836,242,951,136,054,747,970,109,451,222,530,428,814,894,037,839,502,
330,992,448,472,100,753,409,585,718,424,665,802,915,246,712,479,752,185,814,
293,766,651,752,212,379,471,285,365,492,914,419,967,462,517,343,555,494,394,
720,860,105,055,906,128,459,927,824,644,520,009,115,962,907,180,945,361,496,
435,423,324,674,823,089,819,214,357,796,592,753,501,473,330,491,306,539,861,
365,007,923,638,825,336,923,951,689,764,151,148,518,932,584,358,300,613,289,
950,535,544,940,429,165,560,646,600,885,430,145,771,259,092,737,834,748,347,
028,773,264,252,839,687,056,592,127,522,743,044,638,138,939,988,366,839,972,
686,490,268,656,698,060,268,625,304,873,030,028,135,097,849,412,002,185,161,
016,022,807,006,296,000,010,278,617,634,046,106,592,691,854,349,713,955,956,
907,163,449,350,139,119,966,901,830,554,970,043,979,478,490,711,779,575,404,
259,357,495,113,641,191,308,238,859,401,044,585,834,437,610,714,633,039,693,
221,103,659,158,448,095,936,939,827,173,584,413,196,101,039,494,635,680,795,
243,245,194,943,970,371,627,357,480,686,546,851,671,673,068,001,385,732,007,
759,728,654,175,539,060,380,150,121,408,017,862,243,858,517,996,514,846,243,
283,625,651,964,793,037,793,129,435,518,759,069,724,063,028,597,354,767,347,
062,412,741,123,564,157,737,152,966,533,535,206,184,219,225,422,443,726,919,
256,297,058,216,101,746,065,663,274,675,903,163,959,881,290,649,823,322,714,
509,265,445,987,927,230,878,014,930,641,554,959,332,950,527,066,529,490,598,
094,045,001,865,849,329,491,612,472,586,500,753,250,652,834,105,674,971,100,
423,086,030,967,531,028,148,931,932,090,460,918,788,185,856,452,877,801,356,
451,821,416,231,869,877,318,490,060,650,706,491,637,867,420,685,520,912,213,
252,111,312,291,862,747,592,552,277,267,079,079,069,561,562,412,356,570,468,
369,163,531,852,405,493,646,105,785,657,676,396,071,136,780,273,399,059,061,
276,493,834,949,498,329,949,726,465,954,270,675,458,455,005,893,727,234,590,
335,660,705,796,119,600,644,031,480,488,112,870,889,789,565,706,792,922,417,
124,086,869,739,627,216,637,903,973,655,028,395,626,550,182,466,032,940,661,
376,573,874,352,160,474,174,588,260,498,507,526,861,544,052,457,628,130,198,
698,979,926,927,761,596,995,214,998,938,794,740,668,315,141,694,173,831,600,
309,037,864,841,506,648,577,587,447,850,238,318,272,303,441,364,615,864,578,
036,657,989,838,414,725,472,938,987,279,641,291,693,613,351,440,109,877,784,
561,102,359,641,841,795,735,655,953,130,699,236,166,719,720,112,038,495,819,
704,768,994,666,649,885,796,664,783,749,149,210,023,369,491,553,569,157,615,
502,073,906,142,578,006,873,210,142,890,183,363,872,388,961,559,780,674,139,
453,791,551,305,872,453,864,775,597,206,508,840,177,214,305,988,208,543,381,
273,112,624,096,353,760,638,392,929,295,922,344,825,091,736,012,033,671,904,
236,283,518,036,827,933,448,179,095,592,781,646,860,396,171,400,075,546,112,
385,196,607,139,221,086,021,547,187,516,746,842,067,813,030,724,768,049,333,
236,000,375,706,807,476,972,223,857,129,980,145,585,213,195,736,626,341,076,
639,684,445,508,946,654,609,482,071,182,582,140,444,943,474,612,309,216,664,
316,160,660,250,809,135,375,993,932,250,424,334,542,397,576,523,604,989,280,
325,581,683,365,564,434,522,620,400,123,574,894,107,255,184,699,107,279,011,
768,301,315,503,664,229,641,265,003,664,478,311,433,660,658,626,610,017,167,
474,849,390,224,539,999,799,499,937,409,213,052,941,099,366,068,471,877,193,
095,924,706,562,218,976,692,705,024,097,241,064,729,860,806,959,759,578,114,
854,234,667,502,188,660,579,046,260,536,631,268,146,200,059,500,594,130,270,
657,952,160,139,566,601,808,703,896,309,250,444,677,513,800,523,816,724,553,
403,794,049,224,972,184,657,385,074,339,383,461,776,609,592,995,054,459,363,
824,486,071,759,779,436,193,115,000,147,019,243,220,258,181,273,232,766,072,
454,449,141,685,720,257,862,290,495,548,326,815,724,991,531,075,468,183,832,
239,073,437,066,897,991,698,977,668,652,390,497,587,661,858,521,167,819,643,
992,509,237,078,656,912,254,512,495,231,084,304,400,359,853,046,245,145,256,
252,885,159,060,948,223,547,365,176,780,694,120,154,347,639,615,432,608,370,
562,872,038,963,856,992,805,241,204,951,897,474,976,215,331,849,286,245,177,
234,611,434,109,874,141,153,920,297,269,965,575,197,090,949,051,552,768,052,
594,492,552,225,673,079,195,703,882,852,323,230,385,193,705,315,303,166,361,
681,600,443,251,799,667,306,656,504,665,906,776,859,006,920,144,732,022,802,
679,371,911,414,011,734,840,082,710,530,802,842,803,390,129,610,275,792,236,
278,524,409,985,285,080,572,136,094,482,472,086,372,623,565,992,373,287,297,
083,213,267,988,883,939,638,644,682,084,373,482,030,161,001,696,630,820,941,
944,189,579,160,668,989,785,680,059,758,192,053,221,100,610,176,728,809,279,
125,330,624,582,639,040,090,263,973,780,843,038,403,745,412,488,705,416,018,
118,745,655,912,191,164,930,222,922,244,218,987,763,207,520,321,923,563,642,
833,005,314,361,534,107,280,731,740,211,843,958,733,738,048,977,668,423,479,
842,391,694,044,787,024,537,071,075,140,774,749,672,788,058,032,105,821,620,
637,297,738,551,155,120,401,970,556,511,514,176,756,623,456,799,795,487,029,
488,318,412,200,900,348,137,230,944,752,004,315,728,712,593,373,350,233,455,
030,623,988,016,391,229,667,584,861,882,220,938,295,309,957,621,525,666,247,
047,989,820,280,162,888,507,898,476,365,847,213,949,751,337,425,830,098,972,
565,448,793,460,739,271,343,149,567,327,329,925,213,738,841,153,845,973,499,
194,427,987,642,400,041,513,292,355,000,429,928,092,591,930,499,962,473,839,
004,487,527,638,946,150,538,356,010,839,804,902,784,276,348,719,015,407,238,
631,725,542,363,720,904,248,106,586,917,369,427,318,051,541,997,772,830,853,
969,606,195,775,446,228,270,797,491,665,557,542,933,768,172,217,766,211,624,
578,841,241,964,299,991,668,680,771,149,326,775,524,564,078,175,535,816,558,
350,650,762,297,933,709,070,759,481,130,787,886,461,082,426,769,392,877,662,
958,649,938,478,899,252,424,750,641,174,553,100,391,919,066,314,102,316,977,
431,269,582,708,610,224,543,812,652,601,528,633,259,530,369,454,936,964,570,
457,808,250,495,473,837,828,703,586,846,994,333,505,135,085,644,509,689,199,
357,323,175,527,436,344,789,572,187,313,637,050,794,373,438,020,729,860,969,
085,019,091,023,025,354,190,579,110,650,690,490,380,278,005,309,962,987,516,
686,955,883,952,722,190,053,789,058,099,032,744,344,931,213,909,580,845,742,
247,764,668,945,580,647,501,396,174,103,263,895,369,869,862,894,549,664,228,
683,161,306,552,731,580,756,303,722,238,693,531,263,980,468,994,427,427,061,
689,353,017,218,518,525,749,738,041,641,811,632,704,055,689,325,543,652,959,
391,716,509,986,643,439,643,660,587,081,627,168,065,408,005,920,218,134,785,
286,868,769,997,309,224,557,424,103,481,860,058,044,583,869,329,783,475,237,
392,461,053,287,993,941,495,816,481,324,208,617,477,694,396,639,611,119,357,
801,785,915,791,205,432,804,290,706,713,558,190,248,572,075,142,492,215,135,
699,592,847,977,881,329,025,129,022,217,830,498,932,762,349,582,777,430,920,
645,946,779,825,770,385,546,376,086,467,819,522,967,622,104,779,446,512,960,
363,466,201,086,731,236,396,175,657,158,297,440,181,764,668,815,884,256,387,
239,866,508,048,110,204,781,983,447,824,456,002,174,562,739,770,090,652,933,
460,977,399,938,972,720,537,687,343,248,210,151,853,896,000,229,680,998,161,
456,704,952,539,951,472,241,066,469,853,444,927,557,212,016,536,217,440,244,
984,830,346,618,172,418,129,840,467,747,533,876,183,786,737,403,420,681,394,
040,928,776,675,723,133,711,625,970,144,570,457,661,617,423,643,710,963,886,
452,534,951,668,344,598,376,404,805,332,482,800,010,240,112,318,480,223,003,
171,434,587,468,465,530,322,324,721,113,502,202,283,307,852,551,011,739,887,
372,168,005,809,477,616,944,050,434,931,824,085,711,174,017,868,355,636,024,
438,298,973,613,759,825,633,681,466,188,869,124,616,228,438,131,139,446,403,
056,830,065,451,788,348,140,238,845,129,279,433,580,050,474,649,937,737,978,
926,082,251,694,631,886,912,026,731,358,302,636,733,027,545,906,535,481,042,
575,040,643,447,080,904,205,420,119,526,853,017,621,641,491,423,974,198,140,
521,861,135,591,059,027,241,134,658,597,197,174,629,781,210,551,928,342,257,
345,387,519,054,948,733,085,801,567,463,245,482,730,142,833,222,541,006,028,
342,798,683,768,886,236,090,108,663,172,014,804,409,420,047,884,731,342,404,
404,226,960,846,113,021,003,073,139,672,294,203,111,910,151,316,414,489,067,
663,463,880,792,802,777,139,948,617,579,372,151,997,347,788,203,464,953,927,
150,885,206,483,003,912,714,601,482,607,856,553,769,773,958,441,616,126,427,
244,186,557,934,279,088,176,263,240,031,896,944,256,087,318,536,432,749,484,
775,412,714,239,843,074,818,095,274,400,815,149,612,672,600,895,456,061,066,
031,867,692,715,894,897,362,057,188,575,215,686,645,553,272,259,056,874,506,
591,722,176,814,536,551,831,606,420,123,368,887,844,694,992,471,340,814,013,
114,502,686,278,129,295,786,812,006,966,837,999,798,111,158,689,044,626,278,
721,423,196,582,827,846,371,828,291,086,749,790,234,876,286,375,266,377,431,
579,504,018,378,798,463,971,511,129,244,594,404,871,017,539,299,313,551,676,
501,119,035,698,679,956,373,596,511,094,676,888,447,566,321,232,334,457,389,
827,818,065,233,960,999,795,220,835,040,474,551,308,638,596,471,373,226,682,
391,241,110,279,537,052,701,274,599,045,899,190,544,441,082,837,878,053,502,
952,466,554,471,608,368,408,044,865,417,609,173,425,024,981,307,742,245,617,
773,671,211,959,166,631,154,136,669,023,991,804,814,506,626,650,555,345,136,
828,362,219,645,582,994,608,109,338,759,672,972,478,108,994,618,654,943,117,
543,485,674,279,884,594,176,046,424,518,947,951,933,121,986,828,670,256,363,
536,708,506,110,118,483,817,905,881,777,630,057,851,193,686,137,132,526,714,
169,268,820,555,692,024,336,524,400,682,368,907,657,267,088,233,248,727,261,
071,551,086,998,264,029,393,695,048,571,705,181,086,460,863,705,627,949,329,
705,996,848,320,058,278,707,886,834,558,321,187,560,372,860,780,932,216,645,
303,030,768,301,553,395,115,078,332,796,616,226,044,342,962,248,089,234,265,
100,020,178,372,559,821,380,444,258,725,419,743,272,461,126,765,990,245,021,
984,485,931,646,533,060,421,196,455,874,286,380,558,723,934,591,885,538,161,
940,327,077,619,670,025,571,956,870,749,893,099,806,234,174,972,456,069,506,
859,610,764,612,652,413,043,907,644,826,037,317,662,666,414,915,276,339,824,
147,853,112,284,851,686,598,420,099,321,980,533,899,947,855,850,384,717,793,
631,349,678,619,917,155,405,361,036,887,507,826,944,365,194,482,656,267,801,
892,690,962,787,745,071,793,945,031,328,509,587,026,710,060,476,924,530,016,
662,440,696,872,519,409,496,647,456,531,431,370,713,708,920,042,315,058,634,
109,197,711,794,323,249,632,411,157,689,117,981,526,752,150,477,920,614,416,
016,220,289,508,799,079,169,986,365,420,264,396,142,334,874,578,519,583,991,
508,626,326,509,817,319,002,004,307,349,720,951,370,082,727,092,326,231,968,
682,251,071,061,729,906,713,555,292,502,806,659,484,362,700,310,579,138,399,
151,285,184,691,109,230,658,327,445,440,519,663,816,082,281,421,104,814,640,
222,851,492,520,768,699,183,468,818,345,973,520,629,625,601,224,363,255,864,
217,483,252,120,605,424,551,317,149,558,044,834,882,826,210,359,228,905,477,
594,555,847,943,681,120,566,225,587,298,670,465,438,619,863,346,987,160,803,
738,167,311,287,858,376,912,240,774,497,170,237,212,455,295,673,108,262,708,
944,990,623,360,675,207,167,985,344,758,306,237,463,774,927,413,255,833,668,
858,515,810,123,913,798,387,871,452,185,212,721,750,593,453,990,590,398,631,
647,972,097,510,516,592,601,455,971,292,385,085,599,143,676,984,249,213,858,
970,002,544,869,638,564,582,889,112,108,022,179,408,028,368,234,822,581,492,
756,107,749,200,071,364,050,882,833,048,221,202,797,717,970,854,657,478,858,
805,858,505,430,882,893,671,348,142,861,298,629,326,995,969,906,420,206,852,
860,186,667,846,627,994,937,029,474,430,215,584,079,785,802,312,033,836,962,
293,316,085,146,146,525,673,256,928,875,846,258,228,639,423,241,007,256,403,
570,608,316,207,994,730,955,278,015,860,367,380,026,480,392,015,598,283,042,
355,058,864,012,828,695,144,262,758,720,848,641,782,347,646,060,565,244,863,
646,727,558,687,011,256,104,362,475,356,787,320,256,878,499,279,089,062,363,
911,300,772,762,830,686,565,159,170,487,863,153,452,945,892,870,905,197,041,
822,091,931,570,140,274,531,786,289,945,537,414,949,234,458,948,267,031,749,
642,812,257,536,787,862,457,934,627,866,257,980,872,955,630,360,955,720,279,
071,359,226,595,346,541,554,654,108,288,214,092,410,991,211,897,963,341,863,
202,978,519,069,787,616,174,838,914,098,595,979,664,358,598,189,089,340,506,
325,501,655,392,711,242,850,776,039,358,276,652,793,822,627,813,055,617,431,
074,176,673,857,396,141,240,146,016,308,048,513,899,979,083,620,194,888,740,
443,816,339,814,897,646,816,676,616,737,690,244,412,679,710,405,181,172,323,
343,470,318,985,087,359,086,488,994,648,352,254,659,044,179,087,592,703,390,
500,412,460,504,328,462,026,111,610,725,036,819,733,937,094,704,570,672,326,
617,618,542,970,127,988,351,179,149,880,735,290,322,323,379,888,796,458,850,
828,655,822,260,034,709,081,606,461,920,658,197,900,177,043,585,928,006,895,
278,228,384,573,109,195,732,861,730,047,695,884,441,665,398,429,910,062,322,
631,618,098,349,088,795,578,169,022,335,642,903,704,346,986,168,111,944,169,
994,133,842,176,175,265,955,585,663,311,507,052,818,227,163,194,993,332,259,
659,370,243,074,574,074,940,865,704,916,537,410,925,980,833,495,930,687,096,
136,743,877,575,851,156,791,946,617,019,446,166,295,585,972,376,945,722,483,
130,773,045,785,216,039,500,295,935,550,868,711,526,437,385,904,872,558,389,
557,692,254,601,518,447,124,355,452,266,804,238,518,348,161,442,128,283,068,
318,537,546,726,993,260,250,725,583,144,092,432,609,789,298,536,680,203,026,
731,702,882,222,882,532,652,612,295,877,385,368,514,289,123,587,678,759,969,
388,776,701,744,432,989,032,650,374,733,345,440,065,883,357,499,041,024,694,
290,102,859,534,359,702,731,258,759,623,224,484,981,127,987,363,763,396,929,
225,956,301,936,222,559,706,361,081,017,345,744,661,621,503,850,909,832,870,
533,968,436,492,235,362,968,026,684,328,764,851,798,806,778,981,254,953,613,
321,275,565,620,512,752,278,045,557,257,258,802,571,381,296,365,960,327,437,
597,777,887,236,567,524,090,706,648,498,173,337,307,499,537,006,819,161,256,
141,839,110,809,082,190,835,706,309,675,682,085,650,916,987,937,539,388,212,
189,230,587,983,413,070,829,514,142,072,746,639,047,385,427,864,612,425,652,
385,139,238,929,488,035,594,861,810,487,034,244,862,484,389,966,873,005,331,
823,850,065,317,228,792,425,567,318,168,989,304,583,280,630,033,737,135,821,
560,605,804,376,189,669,624,987,512,629,204,092,287,588,425,792,114,175,003,
382,690,558,943,124,812,632,410,509,629,336,659,904,024,633,635,287,043,010,
722,576,533,571,273,865,622,028,752,164,993,558,736,035,102,102,155,862,981,
980,821,115,403,796,521,795,605,572,415,821,397,553,109,406,860,795,324,436,
003,384,652,473,021,257,789,400,655,931,672,230,795,988,853,128,643,167,154,
301,488,012,244,289,727,680,993,116,085,225,583,959,076,923,724,862,402,196,
657,517,760,584,320,101,153,943,907,542,652,134,520,364,222,126,888,605,002,
571,089,460,223,768,399,288,780,166,064,916,705,734,838,670,721,733,058,767,
594,857,548,793,832,900,906,510,753,911,540,108,865,586,792,704,171,441,425,
794,335,980,151,344,627,230,804,446,195,057,383,440,692,029,259,352,234,854,
765,207,483,743,784,879,589,209,274,341,488,209,569,467,746,135,971,657,145,
540,165,659,067,871,698,753,068,395,359,266,705,492,025,224,397,493,776,803,
716,605,297,279,786,566,652,557,936,637,541,734,405,076,609,876,740,353,844,
003,451,492,666,750,739,909,422,225,840,967,429,546,188,353,588,140,870,947,
678,089,799,455,860,252,564,379,040,313,414,254,272,432,910,853,058,596,521,
208,439,123,024,102,999,945,141,882,536,887,410,493,711,040,378,359,283,281,
347,482,554,460,503,883,147,416,895,080,016,776,634,110,350,291,262,012,485,
297,503,230,218,159,620,396,340,244,371,580,134,158,386,791,239,462,907,246,
689,893,773,339,801,588,852,891,314,247,578,921,243,337,897,217,091,259,200,
750,917,300,128,506,501,780,079,270,451,239,478,619,350,094,211,866,373,094,
231,555,845,558,870,625,182,912,055,838,429,771,546,637,319,315,717,459,978,
328,603,436,764,064,146,273,521,045,596,203,870,371,469,532,159,774,075,367,
012,848,712,040,194,837,084,156,772,939,218,378,516,782,433,994,087,407,218,
155,208,133,603,165,690,292,999,881,984,276,426,182,887,603,972,664,558,430,
206,249,368,528,630,816,544,830,278,251,840,756,745,455,916,478,976,621,563,
261,037,186,535,468,398,210,518,265,360,552,342,671,670,290,266,285,096,213,
752,239,218,520,595,893,873,586,059,078,992,502,040,235,525,735,423,078,014,
803,762,944,967,008,543,664,828,094,411,184,827,900,567,029,898,035,880,425,
881,124,904,191,536,098,290,299,818,748,900,588,006,586,065,186,653,844,681,
194,668,878,287,073,955,362,059,452,429,244,919,136,740,927,748,658,567,713,
250,389,243,041,072,483,153,220,533,781,160,198,932,678,047,892,883,591,061,
255,755,454,579,391,685,263,979,179,773,322,440,334,963,648,583,537,381,026,
727,834,364,335,120,034,679,676,271,198,706,231,918,849,164,544,255,947,014,
349,066,950,128,227,461,519,565,160,693,727,725,150,961,342,303,012,414,614,
010,012,647,898,907,837,591,307,791,659,112,803,141,636,688,452,402,184,741,
599,344,496,853,466,303,596,128,255,961,356,100,086,410,894,788,613,023,728,
653,937,200,092,473,526,535,904,130,569,507,976,350,216,473,001,953,483,687,
218,476,156,498,324,219,122,559,653,290,682,010,266,566,699,714,294,831,054,
521,682,356,119,227,864,011,750,136,021,889,735,675,520,091,017,520,029,471,
748,231,716,373,860,046,336,476,537,158,126,310,962,369,817,351,765,793,637,
467,502,952,005,168,111,213,641,745,731,601,622,350,389,559,363,837,681,947,
595,958,563,462,322,747,738,626,134,224,622,944,831,552,486,802,186,535,826,
811,658,101,780,211,015,587,002,686,407,757,531,775,348,811,244,876,777,140,
947,356,085,868,003,153,866,659,982,049,130,018,760,755,018,435,309,984,220,
986,802,921,793,088,305,959,398,268,698,698,570,123,482,683,577,623,335,629,
941,949,005,016,613,718,280,248,692,081,720,069,384,556,296,602,433,101,333,
242,418,389,371,900,063,168,598,490,025,615,909,366,655,162,024,754,246,626,
352,582,574,557,864,671,848,293,430,550,222,403,122,940,822,049,092,892,221,
321,065,375,858,040,620,619,104,806,306,688,290,452,621,650,975,096,887,498,
462,966,306,798,443,265,386,878,403,021,413,757,231,636,935,508,054,238,737,
089,251,231,222,649,977,537,304,907,737,516,285,181,517,308,234,064,765,498,
865,294,745,695,457,448,101,071,703,661,124,262,818,716,750,030,653,573,101,
073,644,555,397,984,417,981,508,423,904,506,168,366,603,739,178,284,607,139,
336,878,546,708,321,647,370,228,298,231,833,748,949,917,107,718,730,258,716,
154,274,077,422,504,980,427,911,324,501,014,460,899,016,312,177,187,561,358,
608,578,574,554,368,238,501,224,034,097,982,357,887,970,355,255,821,871,119,
582,300,488,095,288,609,992,726,268,603,599,426,587,787,712,792,673,279,270,
903,381,531,902,330,482,710,179,713,728,744,922,541,019,082,363,931,700,935,
535,885,551,615,523,505,824,873,095,453,956,769,769,726,430,301,399,531,064,
691,481,462,085,515,979,362,962,055,568,062,772,125,984,620,108,044,648,870,
944,694,736,927,637,149,973,136,353,355,573,630,677,439,751,003,832,680,600,
351,405,903,275,671,018,895,275,019,601,668,719,043,088,589,768,461,144,071,
426,822,491,654,525,583,748,021,260,035,557,163,704,482,976,562,277,645,336,
967,003,893,572,368,669,000,306,661,450,479,645,059,694,364,449,503,577,330,
953,294,755,631,730,951,017,786,454,065,849,733,021,344,242,465,090,281,183,
043,024,299,605,134,587,802,452,422,025,198,086,943,937,946,221,497,098,030,
641,100,591,208,619,483,525,635,540,481,756,162,268,829,018,062,702,020,482,
469,278,699,573,677,761,123,015,747,516,425,054,964,198,466,110,664,322,034,
128,148,874,332,881,693,657,309,372,324,730,387,704,923,983,860,827,118,051,
859,231,219,006,476,121,946,789,321,431,720,515,579,180,126,368,094,888,142,
307,461,165,714,169,538,696,062,780,776,320,130,403,604,561,663,209,046,713,
360,250,907,236,755,777,224,851,046,678,535,912,718,399,463,565,644,615,518,
550,082,073,355,804,305,637,534,722,713,263,840,895,826,614,162,216,696,724,
813,994,126,963,410,637,295,520,678,902,326,560,355,828,737,496,627,661,022,
705,147,197,585,026,826,605,537,464,617,788,496,570,334,721,953,310,523,975,
775,798,910,008,911,921,482,637,145,697,892,261,372,639,745,276,247,646,005,
743,131,806,924,307,151,027,122,853,815,380,305,849,480,976,115,366,986,075,
187,296,911,160,873,748,710,645,941,482,348,506,879,678,286,904,040,698,349,
013,494,750,889,963,220,914,125,003,258,496,744,976,706,506,296,701,659,258,
322,366,965,259,046,445,218,275,653,075,811,935,854,689,652,752,301,860,431,
998,139,765,759,802,095,278,694,999,581,745,086,171,215,023,270,201,267,719,
977,587,229,674,854,864,442,134,042,096,214,325,251,205,456,386,263,494,620,
625,399,042,594,644,428,623,468,259,732,296,205,305,010,940,969,226,108,695,
477,579,881,552,400,459,990,374,018,183,951,739,652,028,165,105,163,171,754,
213,712,508,357,354,983,139,464,067,302,674,338,528,620,162,263,686,156,852,
516,266,651,070,789,963,716,463,326,694,729,536,802,381,624,137,777,125,928,
871,161,533,667,005,819,982,031,121,524,821,162,522,156,497,115,938,186,964,
733,669,715,641,353,757,185,932,378,219,858,999,335,440,480,819,608,104,275,
096,776,685,378,649,171,647,700,447,047,091,351,918,965,389,903,076,989,523,
442,031,316,997,898,403,985,680,022,978,254,394,630,159,496,601,146,333,953,
182,379,434,053,340,193,256,491,496,283,908,298,809,952,585,605,394,256,518,
925,360,304,211,950,406,127,010,624,634,941,910,473,865,214,076,981,771,090,
286,788,045,893,110,063,741,241,315,534,225,353,436,850,910,425,006,862,174,
225,559,378,838,085,298,347,749,502,907,536,211,359,250,280,173,120,563,726,
746,793,940,054,085,725,531,284,407,308,322,430,330,746,086,339,383,392,280,
117,381,056,012,021,945,919,068,441,557,653,267,090,329,168,955,978,322,256,
704,358,617,835,863,104,163,844,145,974,144,700,228,300,966,964,188,061,526,
623,545,844,906,720,268,084,700,879,795,607,990,121,812,660,717,847,331,869,
765,056,047,634,910,176,285,303,309,027,180,812,746,336,856,897,267,965,677,
449,683,989,014,194,023,466,473,253,616,480,294,673,512,926,985,375,219,536,
980,089,952,361,610,811,452,092,782,557,282,885,345,588,248,649,748,314,605,
765,864,294,755,275,323,986,596,765,232,177,800,355,287,112,831,327,204,373,
416,191,289,616,697,703,591,557,540,588,905,292,932,107,990,607,368,780,438,
469,952,383,359,455,317,844,719,000,216,703,099,631,169,419,552,610,428,123,
908,361,015,653,769,395,352,002,215,238,111,377,102,092,039,685,040,387,751,
151,650,465,798,621,480,177,658,616,886,754,332,826,996,763,316,489,749,130,
732,339,961,448,309,964,080,062,980,126,872,338,438,588,270,259,689,981,410,
100,408,838,860,185,758,161,483,550,013,620,063,998,856,113,431,679,736,772,
548,859,001,782,195,960,276,671,192,744,223,932,254,910,238,315,286,005,720,
909,688,634,234,285,188,505,483,076,137,644,126,969,289,455,844,160,985,248,
446,777,766,499,498,596,172,507,449,775,894,163,674,415,455,903,853,270,336,
321,188,824,038,033,588,613,889,363,076,713,766,939,551,416,728,031,886,526,
980,883,475,222,884,765,018,131,399,147,135,993,220,917,259,784,608,077,482,
224,608,851,564,869,919,130,255,627,421,171,668,110,470,694,295,331,301,245,
784,058,066,621,734,503,137,153,796,963,142,926,859,162,653,998,567,030,396,
318,566,999,187,407,884,254,771,979,899,863,416,244,811,998,619,571,158,990,
870,035,102,327,203,611,360,271,661,632,983,098,507,039,918,671,250,813,887,
744,096,851,117,810,280,480,343,212,627,642,392,017,197,216,364,629,594,292,
270,717,560,985,843,997,283,348,096,033,064,170,073,762,958,216,540,541,992,
009,406,384,976,834,383,178,346,612,525,284,151,902,204,255,766,725,310,633,
198,561,296,606,081,546,996,846,132,143,724,443,556,547,795,901,338,378,702,
871,581,596,474,642,270,301,958,423,624,434,241,747,876,445,949,104,015,330,
294,067,352,159,009,184,763,708,550,646,591,842,697,005,900,261,868,485,556,
411,050,347,788,342,498,253,823,873,662,221,963,372,995,922,935,559,788,320,
006,957,044,082,358,967,518,124,775,463,478,161,965,045,266,740,941,625,264,
295,775,691,945,013,469,763,489,418,062,747,899,585,480,645,341,413,684,982,
992,374,356,418,767,515,873,581,471,261,552,000,452,276,040,898,642,629,310,
559,762,178,647,282,364,640,317,273,914,886,453,373,108,942,083,816,364,377,
768,184,462,648,511,608,139,525,345,794,071,516,251,914,528,722,263,566,627,
905,520,699,442,722,300,382,722,599,705,261,414,055,989,890,854,245,889,209,
132,267,604,088,288,349,399,853,036,823,932,361,806,579,577,039,715,610,793,
840,233,589,186,042,444,734,430,342,268,060,892,658,530,891,786,104,988,918,
389,959,558,160,317,762,123,440,052,601,826,444,513,696,711,400,761,509,415,
854,466,697,685,788,634,968,143,430,159,503,162,513,963,282,169,072,080,278,
829,108,424,256,292,352,405,463,122,036,733,303,218,819,455,942,192,014,409,
751,841,692,193,554,493,498,486,802,961,926,530,977,390,087,289,597,890,307,
855,323,852,985,677,409,911,147,125,856,915,882,782,544,523,339,857,641,372,
009,814,070,668,604,488,482,752,456,222,455,216,633,532,796,831,222,857,966,
962,427,614,294,422,902,771,650,425,042,292,556,988,819,273,086,727,873,766,
132,332,387,310,970,087,884,194,167,449,824,055,750,400,934,702,447,232,531,
403,577,983,367,624,315,500,932,762,203,448,800,366,403,646,968,109,543,613,
892,734,971,181,435,245,847,537,725,872,226,698,769,053,846,950,668,105,009,
602,113,171,428,795,682,535,663,483,297,274,228,552,585,924,361,443,231,028,
122,901,335,329,521,137,817,729,213,342,778,386,269,103,467,061,168,728,822,
807,590,466,830,509,754,019,462,822,354,426,432,813,667,177,860,396,004,276,
821,168,927,441,264,281,239,851,964,829,181,407,384,174,601,757,357,820,547,
340,137,578,441,943,464,078,153,364,632,891,688,410,836,622,020,172,041,328,
096,340,193,229,621,322,804,602,563,248,177,517,595,147,372,087,213,253,827,
156,392,273,758,978,802,554,062,084,272,855,801,540,832,160,822,571,399,469,
989,101,499,519,461,926,996,096,992,790,196,151,228,763,676,986,273,036,932,
570,659,258,482,957,940,899,718,028,159,622,042,998,085,047,213,295,440,249,
185,808,515,871,539,109,093,085,763,613,047,752,722,960,148,944,279,796,807,
224,917,988,181,819,750,387,638,448,003,312,835,655,086,653,360,766,281,069,
869,994,704,040,601,035,585,611,634,120,305,473,878,605,246,868,932,656,979,
180,369,064,097,055,613,792,271,014,393,238,682,693,772,033,439,680,408,725,
458,343,587,270,273,815,212,975,649,535,160,678,447,042,914,456,959,486,526,
711,555,776,909,806,810,622,740,993,232,703,978,679,769,245,299,325,735,229,
119,622,611,438,557,937,511,922,466,943,052,066,153,900,150,666,487,767,590,
291,475,070,466,412,749,281,574,555,825,982,826,305,185,113,097,071,253,798,
575,258,693,872,034,380,433,453,943,512,195,107,730,570,109,923,360,685,318,
486,139,055,361,307,583,307,390,957,182,358,297,127,290,708,533,014,094,042,
259,555,336,926,081,249,264,641,449,299,015,545,202,120,476,117,718,952,388,
898,578,569,092,643,521,983,075,087,127,103,726,139,586,350,116,012,603,569,
594,376,786,722,302,576,022,900,032,193,622,313,245,827,294,851,120,489,793,
173,588,728,189,497,091,961,044,073,083,430,944,058,414,390,586,656,671,552,
042,416,602,386,223,547,980,925,824,929,982,967,613,571,023,934,350,898,991,
284,932,951,676,223,889,187,002,160,023,255,482,624,149,001,694,375,135,604,
105,809,554,270,867,143,892,458,354,112,144,420,078,236,997,924,006,939,346,
533,735,877,392,640,290,971,697,931,912,105,083,665,434,984,300,790,317,473,
599,483,440,276,068,366,412,074,914,229,612,407,930,503,875,196,215,310,099,
103,432,596,442,812,828,435,074,472,593,230,326,702,542,299,394,037,787,550,
830,461,792,420,303,905,202,346,854,315,748,975,062,701,106,851,620,010,687,
741,231,449,701,584,138,822,435,109,035,180,867,660,054,812,812,682,701,082,
578,444,484,121,131,677,638,404,211,053,374,449,862,239,902,379,808,293,980,
778,935,380,242,010,979,584,234,159,760,035,991,014,563,470,027,773,950,962,
019,026,869,360,799,793,453,842,669,349,698,940,787,845,630,555,291,924,588,
536,323,205,405,594,181,537,368,403,448,252,601,401,502,463,658,545,629,959,
866,797,063,707,053,346,154,604,330,970,472,008,127,241,800,322,325,917,883,
375,477,996,674,820,662,881,449,526,348,749,924,547,279,915,475,559,939,598,
564,741,743,528,330,630,325,664,320,778,434,057,873,428,707,758,294,173,437,
570,167,919,651,267,182,995,027,040,285,469,484,278,421,580,474,476,907,150,
952,509,742,335,300,956,883,594,590,605,991,787,267,390,555,620,906,403,298,
607,116,503,704,597,928,927,484,540,514,457,240,527,074,809,511,443,571,463,
315,162,721,042,053,650,824,359,263,753,478,681,927,660,778,479,823,665,803,
504,125,396,307,888,753,358,162,827,372,372,320,425,707,108,048,626,444,276,
489,798,673,238,896,689,400,199,500,694,691,765,708,892,086,168,217,631,892,
901,919,001,261,224,152,314,683,929,939,451,416,112,377,693,572,946,627,400,
269,489,345,699,116,174,852,913,730,749,072,476,025,726,464,059,616,180,878,
740,682,850,317,841,075,219,010,141,694,837,384,243,282,055,002,909,510,922,
405,464,838,373,490,617,471,178,780,664,979,854,193,384,067,083,845,704,445,
715,159,195,028,098,516,815,935,157,947,285,873,741,838,661,115,621,702,869,
374,832,616,672,417,552,177,055,182,252,340,741,961,211,170,241,536,172,467,
319,009,357,894,017,405,087,512,528,080,225,214,934,984,532,626,137,202,551,
658,926,332,166,843,051,336,091,093,185,970,957,327,962,038,969,844,975,863,
191,622,425,115,381,655,181,035,359,585,714,373,936,967,315,858,702,559,937,
163,888,814,557,733,046,859,225,907,810,833,338,338,370,108,285,771,311,510,
536,983,522,036,466,181,791,981,069,970,448,115,367,438,552,696,865,904,429,
783,789,728,178,183,732,049,212,092,286,533,156,539,448,254,057,657,969,412,
499,773,684,121,012,678,006,105,991,384,595,180,076,438,120,036,035,996,714,
261,077,359,029,483,163,847,539,212,702,051,036,107,588,126,407,309,148,626,
253,236,176,919,858,659,209,927,041,160,070,230,380,749,913,343,788,030,814,
488,360,433,601,580,601,717,872,864,100,211,377,651,165,116,529,328,552,481,
986,742,978,292,265,450,267,193,902,101,806,955,454,665,868,864,556,085,400,
406,317,292,475,532,690,038,641,929,042,382,835,941,134,849,031,737,650,920,
870,441,102,852,009,317,462,947,097,726,750,563,724,565,309,565,290,107,207,
394,640,365,691,434,610,126,899,503,868,191,673,296,537,371,271,392,266,997,
179,863,842,781,553,855,768,610,613,320,315,511,125,309,251,215,486,930,990,
612,578,740,658,151,978,875,818,620,235,999,856,351,766,691,844,404,961,707,
088,668,125,231,318,069,817,025,118,730,918,053,513,643,219,459,502,613,788,
458,508,008,177,836,522,076,092,756,337,767,917,593,237,314,561,826,079,794,
832,777,439,341,797,978,892,758,113,591,693,991,299,833,090,471,534,595,806,
496,431,451,675,394,911,477,283,569,415,976,636,805,477,445,465,483,517,810,
395,679,539,252,001,766,895,875,768,941,719,973,052,590,127,412,609,897,509,
587,269,108,322,894,608,911,676,519,183,882,930,951,607,997,481,647,065,969,
124,144,470,157,309,595,572,703,966,518,019,870,525,154,415,337,141,398,662,
211,501,378,153,877,313,522,223,615,010,278,810,453,986,209,475,732,238,806,
587,766,584,945,333,921,927,388,013,157,978,019,691,307,778,222,684,018,141,
294,227,691,372,831,009,378,749,683,271,391,964,293,627,032,356,809,212,322,
426,903,581,315,837,215,103,021,391,240,367,096,523,948,967,059,626,766,145,
248,265,188,361,858,839,920,080,866,928,433,435,345,229,295,311,611,976,679,
375,803,932,322,409,139,551,489,353,717,565,420,959,085,588,460,222,739,399,
760,203,574,345,671,373,599,454,983,297,558,991,523,213,470,782,970,167,444,
337,182,051,527,054,125,927,214,955,914,291,231,080,235,579,348,046,217,813,
369,151,902,126,231,772,015,060,612,289,851,191,244,663,060,076,804,267,031,
272,465,000,414,953,095,747,540,227,145,490,764,550,850,946,753,871,688,702,
235,755,797,563,415,804,197,003,459,884,299,434,716,072,547,899,124,695,303,
002,881,961,443,375,038,406,944,219,319,205,944,562,117,612,410,790,898,188,
796,535,619,917,403,732,602,179,249,565,292,489,257,279,422,606,213,517,295,
982,986,967,363,651,910,311,177,429,747,346,634,907,335,262,790,238,086,481,
365,727,531,780,599,565,978,530,744,091,992,358,437,030,091,512,255,748,913,
968,845,017,497,113,865,269,106,399,239,076,163,623,512,104,435,314,989,168,
861,890,514,545,782,082,508,984,449,607,480,517,803,398,758,388,285,697,439,
409,519,458,045,900,593,121,308,175,725,894,101,606,489,803,690,019,878,965,
735,387,344,326,628,548,161,420,941,823,653,852,972,221,219,085,319,794,939,
633,506,278,560,048,409,022,609,617,355,986,107,407,064,458,203,996,093,611,
424,023,456,058,435,064,987,117,945,969,849,189,063,995,570,591,706,471,395,
162,466,628,650,900,583,154,562,056,311,981,377,799,874,577,911,791,962,551,
540,179,703,437,494,613,174,899,799,259,914,506,275,904,882,398,487,597,977,
155,174,251,223,715,550,571,527,129,651,028,934,739,515,191,646,819,656,542,
392,192,577,765,250,858,945,930,606,718,836,680,256,937,658,021,189,355,014,
202,526,954,719,072,181,140,122,497,971,743,630,035,851,804,002,827,083,490,
037,241,152,237,500,268,758,621,036,965,102,705,191,997,965,836,610,738,358,
861,695,919,045,803,345,584,945,242,954,252,045,525,536,390,134,637,955,153,
074,889,370,759,378,597,316,643,982,785,725,279,618,834,916,815,746,863,302,
854,763,322,740,428,130,560,897,655,733,081,226,235,908,452,517,496,907,758,
968,535,083,745,886,875,606,995,675,197,576,872,240,969,104,373,994,841,432,
554,061,690,836,319,697,838,824,966,019,612,638,072,156,431,482,608,681,212,
950,221,065,588,014,662,830,455,130,698,983,361,358,775,026,706,565,165,702,
896,610,408,558,935,334,130,126,726,990,675,770,066,746,479,627,543,518,408,
770,899,290,013,994,350,882,852,928,887,673,138,582,679,530,650,522,014,045,
067,875,438,794,538,720,653,794,115,343,470,074,720,658,781,299,713,235,073,
693,670,784,412,470,764,744,123,507,666,240,689,950,364,939,525,678,376,746,
110,392,984,801,313,536,892,313,639,378,756,888,351,719,957,189,980,381,776,
008,077,005,406,409,251,118,995,191,302,576,248,075,470,673,451,098,866,921,
666,208,836,709,359,577,924,472,610,551,417,371,759,216,684,762,245,747,597,
950,985,803,161,264,992,270,981,141,189,859,415,992,373,446,169,761,478,997,
368,671,007,607,368,304,314,079,767,986,295,719,069,541,810,024,400,533,716,
338,862,212,694,012,040,476,537,226,259,424,408,326,236,657,619,406,040,256,
356,758,668,889,460,368,110,697,765,898,339,804,901,131,206,842,833,801,025,
976,214,276,958,481,183,015,522,468,529,223,440,504,012,102,166,382,367,708,
659,880,292,649,537,626,553,039,193,411,671,550,536,570,614,437,460,899,791,
775,649,580,704,885,895,849,137,678,118,550,364,165,166,032,042,174,382,997,
139,955,687,893,334,309,186,912,375,522,320,057,555,485,005,597,527,012,751,
672,472,641,421,986,374,257,025,032,016,035,695,269,789,311,264,484,102,443,
868,108,534,662,088,035,581,854,705,890,032,703,674,866,501,264,182,842,860,
625,714,922,210,698,763,845,364,814,113,523,560,732,598,194,095,583,642,800,
356,854,619,731,103,236,281,101,427,402,684,535,085,774,324,054,550,375,497,
144,369,374,502,499,378,342,442,092,027,138,673,549,572,618,836,208,960,289,
304,679,653,239,325,681,832,556,392,851,188,551,461,231,659,840,247,138,049,
478,156,814,838,993,838,040,088,454,546,764,156,158,266,435,899,057,453,582,
597,265,594,326,340,765,660,889,233,266,091,130,865,361,408,502,358,678,054,
130,788,401,080,194,962,959,665,186,178,150,019,277,553,546,967,432,293,164,
092,844,725,327,750,597,673,484,773,047,620,798,983,139,676,336,061,524,900,
628,428,945,791,522,898,986,231,390,847,153,758,632,483,107,251,622,386,268,
131,135,546,376,956,895,308,597,522,170,935,426,254,485,089,095,594,536,434,
778,394,497,764,366,553,826,200,943,539,225,733,048,145,619,428,177,132,398,
157,829,718,552,437,499,660,085,638,872,866,738,822,316,224,750,209,536,112,
607,691,405,133,418,689,641,523,980,573,582,694,542,713,676,048,487,116,068,
270,844,524,369,333,381,502,194,630,645,678,544,119,493,743,171,457,494,107,
152,021,359,029,374,045,342,714,900,124,059,124,712,790,645,236,363,089,042,
261,265,869,368,627,347,793,292,446,602,459,242,415,255,602,842,252,701,617,
899,286,423,730,422,781,421,249,870,890,943,275,423,145,292,002,197,346,356,
277,374,865,844,465,149,566,652,106,108,170,824,320,544,413,165,278,039,940,
885,919,584,693,336,761,868,745,734,663,389,997,737,088,977,506,359,215,992,
454,852,752,326,096,077,559,856,193,787,745,211,948,372,872,562,639,701,638,
224,947,116,621,216,408,381,634,628,437,965,539,573,965,012,324,260,651,738,
542,083,135,068,298,904,573,123,075,741,798,247,796,090,620,552,865,642,924,
924,364,783,660,279,563,688,218,775,491,684,194,404,333,505,039,209,690,634,
349,014,916,298,799,049,528,449,467,406,822,343,181,565,805,794,512,851,691,
194,506,172,026,164,089,332,836,669,684,250,424,301,880,444,190,205,593,418,
320,012,309,141,791,080,489,032,991,895,243,678,142,181,305,440,165,982,926,
955,159,506,379,710,222,640,258,006,967,694,884,877,423,841,962,553,055,534,
503,564,324,163,915,993,340,177,470,577,664,306,358,864,856,501,725,097,903,
400,601,941,827,665,519,075,783,515,590,808,747,370,732,664,213,985,275,186,
665,859,242,251,382,912,868,878,625,568,965,514,596,766,648,584,906,686,227,
442,390,092,359,418,380,239,983,736,728,468,232,885,781,150,990,892,055,801,
312,532,398,516,902,761,729,352,424,240,647,894,807,612,633,544,298,123,276,
394,188,301,799,005,982,146,899,233,558,235,342,753,605,216,874,503,312,041,
665,298,269,790,988,902,317,006,822,146,884,201,427,611,349,877,673,247,116,
312,297,875,284,371,709,880,964,998,159,853,119,147,913,779,925,546,335,217,
419,806,671,745,682,806,975,007,092,262,436,066,857,404,549,699,018,261,297,
958,947,429,303,479,571,454,690,504,165,210,122,760,909,710,882,197,796,898,
337,612,949,662,264,465,344,071,217,549,116,409,770,184,883,264,837,707,029,
841,897,916,430,560,634,797,797,740,721,390,439,605,958,674,847,373,082,390,
956,299,674,721,618,097,803,105,990,909,538,307,819,753,386,645,839,229,612,
696,205,538,065,070,459,334,188,388,749,187,055,183,420,606,927,063,198,949,
669,359,165,383,463,460,139,419,140,521,239,367,857,915,791,564,717,030,159,
920,774,505,090,955,644,960,972,089,877,055,185,053,587,599,022,585,738,151,
370,251,922,222,764,750,874,260,886,299,063,786,300,714,434,916,637,666,116,
323,811,382,377,232,218,046,571,824,858,930,793,186,781,734,121,784,060,310,
433,856,071,206,626,676,970,284,212,400,592,280,712,486,887,696,623,439,359,
164,989,201,752,805,219,268,297,597,960,624,252,402,492,141,170,617,619,354,
598,718,567,879,422,862,474,501,714,483,365,478,812,015,144,120,757,556,952,
434,068,992,569,698,035,382,749,211,595,649,465,342,595,438,983,858,112,673,
584,728,569,605,865,559,101,230,074,686,651,563,710,079,299,613,174,590,158,
970,334,682,011,078,333,700,370,727,903,762,490,486,691,398,428,228,737,200,
109,997,233,170,915,760,687,069,931,966,507,849,153,993,312,054,046,705,187,
419,041,154,179,856,671,312,052,754,691,407,800,850,926,821,606,076,061,102,
609,761,905,076,712,790,279,429,810,622,751,605,894,776,604,888,654,242,077,
423,176,185,296,494,313,743,561,658,611,791,970,307,326,844,906,813,294,920,
726,254,861,853,226,389,131,029,665,624,405,458,970,637,862,940,719,832,831,
592,053,134,103,038,248,982,819,994,042,033,418,119,910,670,830,651,569,069,
879,958,335,395,701,563,773,055,168,231,759,716,220,561,446,531,649,055,772,
475,842,905,467,484,679,785,800,518,383,955,506,202,935,170,774,902,841,943,
318,608,738,588,172,396,248,999,316,244,656,552,915,175,133,316,105,622,406,
797,502,714,474,016,920,812,719,183,015,081,354,614,665,514,038,854,006,998,
365,747,574,206,136,508,346,494,864,174,413,229,428,574,605,982,334,247,452,
378,398,238,092,604,907,909,935,823,529,932,030,666,262,399,075,929,640,651,
272,346,217,172,771,454,345,983,859,484,493,151,313,150,797,627,154,042,698,
170,940,012,809,732,204,472,116,382,173,927,916,342,092,424,958,489,223,114,
530,907,374,064,957,798,184,903,168,172,940,153,970,623,250,675,286,767,647,
542,113,736,166,901,251,949,470,700,735,060,647,074,953,268,578,857,115,209,
076,593,340,899,128,405,050,203,959,350,261,974,487,335,065,686,978,857,772,
944,513,949,689,150,771,048,304,037,369,816,339,990,583,629,051,915,967,167,
883,804,751,011,682,432,228,934,239,437,547,346,059,670,703,239,206,851,473,
196,102,098,161,756,864,059,097,297,601,186,347,011,254,709,416,107,704,707,
150,750,147,903,343,004,325,382,623,522,197,760,927,496,153,820,123,107,415,
444,163,675,492,352,325,734,595,436,550,328,380,210,552,537,197,739,008,439,
048,054,531,363,178,589,047,968,173,428,042,535,809,161,949,638,528,488,416,
625,468,337,445,129,503,676,155,981,594,331,884,246,374,656,376,932,373,333,
891,963,387,821,540,815,957,450,728,023,943,089,219,039,014,989,667,525,215,
810,593,741,363,168,745,263,575,413,261,932,743,033,251,968,797,121,190,950,
224,852,880,376,245,596,214,879,225,073,643,291,736,928,600,019,067,307,965,
009,296,511,104,365,972,375,926,364,346,837,294,956,152,010,823,970,612,536,
825,961,115,679,051,665,694,985,121,332,910,956,579,617,717,111,715,385,954,
433,692,396,606,124,931,505,501,464,114,003,264,068,788,019,350,472,695,354,
536,798,365,180,509,738,308,263,629,506,396,681,053,616,407,615,688,174,218,
806,325,685,538,577,263,407,824,262,289,341,175,753,900,328,050,915,412,028,
914,748,865,449,363,696,571,171,768,121,502,944,729,480,430,322,073,384,772,
549,860,567,158,878,542,734,165,441,042,839,047,025,562,095,249,041,842,581,
709,847,399,258,623,396,450,095,246,656,734,849,956,307,538,946,732,133,389,
412,646,634,350,063,829,640,050,379,381,842,038,009,125,374,149,563,478,473,
709,919,224,117,024,105,039,091,849,826,520,898,835,459,927,660,045,554,138,
504,453,115,478,866,350,480,600,279,005,189,147,793,063,574,921,050,688,503,
071,571,429,721,649,220,613,311,433,562,403,671,076,385,820,893,792,236,999,
786,784,599,765,099,789,199,181,543,624,014,561,720,078,666,621,790,481,990,
819,211,005,067,970,630,047,420,508,335,846,455,640,078,403,640,289,753,448,
539,878,559,469,184,468,729,910,930,817,388,411,998,648,026,141,139,514,125,
778,144,764,861,450,467,541,056,565,363,980,392,917,973,733,698,908,996,886,
292,890,519,884,617,616,997,594,621,469,015,209,581,121,411,485,504,533,987,
940,211,904,105,382,625,757,309,130,114,065,323,516,180,505,362,205,314,434,
732,116,548,409,846,069,834,461,398,854,367,106,247,117,151,994,261,809,889,
513,478,218,713,656,511,385,555,481,716,328,388,058,619,560,058,471,361,371,
955,660,174,341,443,896,330,498,735,392,898,008,907,302,244,204,736,862,485,
195,472,622,116,940,067,611,016,760,828,746,699,256,661,581,656,771,354,108,
081,528,015,317,230,719,008,009,761,683,283,247,392,868,762,591,414,926,187,
791,050,077,564,928,308,538,814,083,059,333,168,825,497,179,136,344,458,904,
829,981,147,844,991,809,920,249,261,955,480,001,186,840,668,517,520,964,329,
400,525,649,680,031,365,507,779,045,059,314,682,143,028,083,809,359,403,873,
828,600,999,377,602,142,810,358,796,092,403,685,497,239,498,346,079,034,640,
343,232,809,252,486,809,153,305,804,423,265,123,317,033,020,055,209,318,892,
387,914,645,924,487,160,571,651,816,453,872,319,804,103,350,028,924,330,603,
646,207,576,636,608,338,377,195,259,971,087,386,661,264,211,390,207,639,136,
201,097,147,421,509,713,557,140,080,910,564,607,090,106,949,988,987,046,296,
673,231,096,051,578,702,861,856,064,882,923,621,334,221,940,272,105,335,394,
201,021,609,461,122,699,609,902,436,344,426,707,235,705,646,910,289,554,850,
635,266,680,802,060,503,521,928,261,835,011,532,624,357,740,367,690,355,769,
450,687,436,247,421,738,432,444,198,526,267,611,457,245,347,760,705,727,106,
469,331,265,960,484,393,010,467,578,933,303,629,490,799,096,179,361,628,293,
713,491,221,952,743,005,266,072,874,682,335,321,845,072,638,385,810,118,028,
893,566,921,434,886,408,301,711,493,886,444,582,308,325,720,629,109,953,434,
524,731,024,769,743,956,050,285,035,218,732,718,311,061,111,391,194,648,117,
859,002,322,922,136,144,038,563,976,173,135,685,679,147,173,372,160,200,833,
551,649,666,760,461,527,414,088,996,500,701,589,268,970,611,424,798,189,150,
467,143,748,650,490,303,021,392,887,355,210,360,495,653,386,891,072,188,392,
866,729,777,048,131,208,278,296,775,276,110,496,438,466,249,123,546,226,953,
542,740,644,976,919,313,307,610,102,394,511,235,757,010,743,808,945,386,023,
932,806,789,184,015,388,648,230,129,629,024,491,343,306,619,468,602,698,693,
366,483,945,204,453,440,023,793,934,297,383,991,017,934,223,170,714,404,210,
652,232,514,362,250,644,392,346,575,101,943,176,339,353,494,343,702,163,466,
006,219,756,649,311,360,504,266,772,398,022,522,629,655,745,653,047,788,971,
269,522,382,063,598,359,642,703,295,427,984,811,462,021,836,389,009,481,577,
750,351,566,548,723,890,616,797,064,427,522,052,769,722,599,179,471,110,200,
112,298,721,012,459,732,676,495,388,359,609,613,125,955,293,519,161,657,911,
220,606,789,821,124,338,954,939,228,949,096,290,350,319,926,972,174,092,263,
466,074,498,968,728,339,779,810,046,699,968,121,519,191,694,979,547,141,707,
072,028,911,235,898,839,533,123,999,580,829,306,044,070,153,208,993,006,977,
187,717,342,568,542,938,591,085,726,379,514,291,625,012,871,187,442,531,934,
874,488,983,411,597,824,898,136,714,222,557,816,842,177,937,121,312,590,270,
518,837,485,441,797,280,684,513,234,312,469,147,914,804,605,656,158,851,124,
059,110,090,986,799,137,319,427,954,737,154,515,611,261,574,146,529,940,443,
910,393,327,803,184,495,902,929,026,823,003,699,082,615,804,381,975,348,233,
238,586,240,798,090,045,902,323,011,852,146,661,989,503,576,081,069,929,901,
929,416,554,532,299,823,258,584,564,579,992,398,029,638,296,283,972,239,654,
044,659,445,452,846,417,986,517,112,765,287,555,704,223,474,078,871,311,102,
507,461,482,419,119,112,657,200,757,705,785,200,944,025,568,318,092,029,292,
938,262,990,020,306,198,378,220,855,319,659,584,243,745,045,435,315,290,789,
061,549,778,274,072,676,710,158,709,807,836,779,950,891,264,678,626,200,160,
510,002,675,775,730,246,024,293,988,754,458,619,243,747,386,453,988,454,965,
523,307,065,544,402,451,842,974,401,957,030,854,874,880,060,865,905,391,006,
524,161,800,217,824,369,241,214,986,534,852,289,881,613,012,649,966,059,998,
902,736,143,890,970,446,767,420,332,802,840,725,638,721,013,151,738,556,601,
844,944,870,836,278,579,135,405,376,595,722,001,675,873,347,503,015,119,120,
353,908,778,777,744,825,163,371,227,464,824,978,612,010,975,469,638,949,732,
748,408,445,858,069,297,962,156,469,059,519,479,842,957,553,731,873,914,481,
884,700,925,490,294,593,142,445,821,783,671,152,216,601,552,075,375,461,322,
814,832,575,003,103,356,973,911,365,749,508,134,208,336,618,568,584,984,481,
628,727,569,744,884,271,413,501,241,810,688,722,968,695,267,667,598,270,989,
248,513,741,508,918,220,014,925,411,260,861,349,672,690,680,260,727,050,314,
687,799,945,135,909,505,510,103,708,015,047,261,988,991,865,968,680,604,746,
902,961,961,098,057,959,055,451,190,739,465,345,993,639,968,959,667,273,287,
365,863,503,629,686,553,979,257,445,293,327,899,172,484,170,360,460,678,297,
906,686,366,440,413,789,538,129,240,127,134,117,956,441,186,658,553,349,223,
496,753,413,415,006,273,631,540,595,348,944,098,553,349,562,790,555,413,378,
971,609,730,589,980,219,213,354,091,409,007,776,840,687,813,187,331,633,409,
662,351,678,203,088,801,713,423,575,843,270,909,091,090,970,428,935,428,436,
298,063,963,184,035,601,423,771,760,628,724,479,821,908,639,232,390,221,012,
894,311,761,538,614,565,479,497,883,842,177,801,640,862,391,899,568,696,667,
147,838,457,966,101,085,670,422,290,340,617,228,489,155,756,868,045,897,494,
895,603,093,401,178,039,689,824,818,795,961,999,506,122,345,190,600,500,242,
124,242,974,604,722,159,575,746,073,135,523,020,062,209,053,139,128,499,423,
830,263,483,856,555,261,584,115,156,718,757,466,098,306,732,070,271,473,901,
792,335,656,276,943,815,735,729,413,309,175,245,804,608,688,141,978,880,233,
291,980,481,530,530,214,178,034,649,015,545,532,680,281,435,556,140,229,031,
291,128,008,323,358,313,471,703,355,218,901,721,766,966,792,958,843,884,051,
023,313,447,576,369,913,037,988,068,773,467,246,088,544,455,519,966,601,931,
072,651,192,781,819,247,462,959,178,380,317,845,242,513,775,660,361,028,709,
596,258,961,968,872,049,857,540,264,646,226,336,943,293,933,154,371,013,730,
170,672,061,320,750,411,590,866,955,088,073,391,481,200,524,938,160,408,628,
064,228,701,053,219,526,816,960,195,241,949,789,642,373,684,529,647,945,721,
825,711,933,117,366,704,575,005,950,807,850,832,210,224,845,678,999,448,455,
635,631,995,971,929,398,385,940,530,766,472,820,247,645,445,260,935,094,560,
454,549,154,557,674,280,767,414,233,069,500,353,185,036,913,151,616,901,613,
074,784,195,695,169,929,011,142,136,639,996,646,698,494,492,413,407,413,399,
967,747,543,780,005,267,869,175,850,718,710,633,923,830,840,753,411,646,849,
224,041,539,251,075,341,687,398,660,845,905,181,032,461,701,339,491,640,732,
980,630,704,683,589,650,600,413,828,972,478,637,044,391,564,379,559,840,759,
120,086,607,168,999,787,472,841,834,618,526,054,090,041,797,585,080,412,831,
634,495,909,223,738,732,036,051,410,627,933,844,535,112,885,269,669,631,836,
900,508,237,268,666,199,682,936,842,829,821,839,572,864,367,852,924,037,683,
328,252,772,924,954,667,960,420,005,134,616,057,942,532,181,318,098,134,145,
773,953,319,563,031,882,813,956,905,724,202,760,356,233,857,607,247,823,183,
246,735,194,729,800,856,453,013,044,043,499,064,652,820,990,298,119,616,921,
297,861,103,287,123,812,052,612,894,336,533,945,740,766,676,550,377,426,791,
423,354,770,576,319,864,664,315,256,387,706,697,684,210,293,540,361,596,716,
202,218,340,269,815,027,853,662,892,471,391,751,532,236,070,095,539,994,236,
316,412,043,407,456,861,319,539,718,079,806,159,812,803,194,459,180,243,420,
628,157,909,049,744,677,523,141,649,863,988,870,592,364,123,715,980,228,664,
849,698,880,891,988,624,675,328,223,960,897,124,094,109,439,166,393,426,695,
159,757,770,373,201,073,778,407,700,870,954,984,390,363,596,852,008,467,089,
913,850,832,929,943,097,954,013,181,485,814,960,107,254,414,222,112,256,956,
436,059,213,446,246,184,749,287,498,443,329,858,240,307,970,807,521,836,623,
326,374,718,457,240,810,251,406,461,367,957,796,924,207,207,140,179,175,895,
238,467,031,766,052,031,799,096,800,371,808,746,022,047,677,127,561,062,605,
553,491,711,376,731,009,687,205,113,778,779,028,056,178,037,139,825,543,002,
753,387,407,698,576,610,640,785,381,763,753,337,494,206,558,497,617,932,021,
831,959,650,547,749,070,075,648,928,965,435,282,220,258,742,451,660,381,385,
421,564,228,127,938,841,495,735,369,771,035,134,160,459,796,439,389,342,750,
018,337,439,309,099,401,413,667,217,549,597,302,950,039,485,968,881,690,031,
595,892,186,548,484,964,331,890,183,492,854,033,120,717,721,188,700,580,395,
196,264,449,343,747,700,334,379,911,646,183,171,493,343,981,535,034,906,292,
661,444,776,113,271,041,856,187,578,675,544,212,512,990,468,097,831,026,318,
175,655,217,876,526,410,039,473,469,207,074,833,107,118,854,656,945,327,164,
034,437,058,683,384,233,386,323,448,646,165,403,503,591,938,608,372,535,746,
886,976,366,973,170,963,439,401,985,246,702,651,981,684,597,277,740,050,522,
407,239,086,654,694,316,314,064,847,524,206,147,713,383,758,574,055,785,008,
647,913,680,820,621,161,422,292,335,201,720,859,311,403,657,861,143,538,056,
056,507,426,012,566,288,307,928,226,859,645,627,319,133,158,890,729,484,741,
720,873,448,462,146,211,393,706,712,584,519,119,362,736,992,065,183,412,324,
968,857,845,633,110,189,108,825,748,881,306,266,265,907,317,791,461,309,265,
541,673,268,558,364,148,463,142,327,613,024,069,855,306,377,487,463,890,748,
626,512,636,877,080,214,791,238,298,211,144,312,763,980,379,913,257,682,155,
689,280,611,687,600,644,981,768,631,977,781,220,561,795,821,571,246,146,286,
295,956,052,699,270,285,559,717,374,141,370,359,293,887,309,643,659,460,943,
490,058,343,022,223,834,605,235,596,486,916,312,042,147,519,437,153,014,469,
751,237,722,965,228,711,388,258,188,620,586,219,539,155,693,691,475,057,151,
123,914,527,468,673,292,142,529,626,367,403,578,485,481,313,739,718,557,040,
451,047,838,243,376,339,066,378,226,264,945,424,453,214,618,177,932,445,517,
151,447,247,371,205,955,139,217,000,025,384,029,475,985,516,567,807,210,833,
130,378,880,240,227,236,946,095,305,941,650,879,863,525,172,765,665,195,684,
879,283,089,049,528,053,145,254,826,141,980,011,357,804,885,502,170,606,738,
560,544,315,336,866,421,105,982,097,228,365,624,260,860,592,090,214,485,666,
301,030,630,380,407,957,652,070,942,980,729,562,244,798,824,537,582,922,208,
121,265,510,821,812,212,511,183,857,498,818,314,401,005,005,047,894,208,049,
942,204,301,782,183,232,594,147,960,854,041,680,386,810,718,262,115,861,174,
801,389,233,542,594,259,929,827,810,134,776,513,124,918,084,092,089,672,212,
364,686,656,481,455,028,649,017,706,793,399,520,816,345,031,734,987,826,695,
019,563,356,027,162,640,638,121,306,143,916,676,036,748,659,232,531,808,194,
897,240,662,247,758,377,144,049,234,831,673,911,297,816,547,393,290,283,578,
731,235,381,103,822,490,154,100,580,192,963,516,552,855,475,729,688,111,898,
084,731,651,929,164,898,526,458,350,800,321,781,114,954,008,286,241,898,195,
801,651,839,536,461,554,020,815,009,489,099,884,466,602,537,871,485,253,901,
738,745,057,420,242,900,499,438,590,592,629,458,895,757,004,779,531,891,944,
165,209,577,086,822,172,425,379,897,426,238,585,155,898,651,664,004,567,137,
182,344,374,968,103,086,156,335,197,797,721,224,357,082,955,553,343,414,696,
831,879,700,261,118,294,959,604,173,595,569,865,278,298,969,056,368,439,891,
465,216,823,562,964,479,753,811,170,028,174,923,503,373,104,540,795,597,315,
774,007,617,353,574,491,313,670,424,448,193,407,275,789,210,749,359,533,862,
727,788,573,832,631,081,764,323,573,048,759,770,342,915,615,699,511,813,571,
128,301,601,500,474,446,637,430,908,773,798,114,474,157,882,149,991,129,140,
921,328,475,497,662,488,722,305,651,959,667,127,880,559,519,658,804,551,825,
144,132,588,345,110,249,833,985,477,718,040,294,751,022,464,891,964,448,791,
434,617,311,502,979,412,872,485,409,095,801,190,988,813,278,390,295,968,502,
510,838,013,307,211,998,981,952,107,013,260,855,960,927,905,998,106,794,922,
830,895,599,325,489,993,310,891,444,866,307,309,936,962,912,211,901,248,105,
542,425,119,880,043,967,147,164,029,612,019,354,036,288,253,797,643,795,309,
054,097,992,120,812,945,035,226,485,471,049,939,368,574,765,940,199,047,007,
994,157,147,391,057,414,194,402,179,959,050,339,678,819,156,734,552,978,611,
012,423,547,797,649,928,747,219,093,584,141,593,548,097,945,238,873,715,052,
369,103,916,296,925,546,548,432,936,690,917,080,433,774,651,390,924,620,763,
099,312,992,366,018,832,449,853,036,706,414,143,579,254,416,668,668,325,734,
748,988,229,726,635,931,868,519,362,038,163,713,796,838,978,904,581,759,692,
922,488,266,367,992,056,712,864,840,365,918,485,588,535,954,466,574,733,155,
181,117,989,434,177,711,535,707,497,965,741,803,788,914,401,041,180,508,251,
867,940,245,191,697,055,570,245,577,476,749,700,024,115,983,748,057,682,321,
852,776,047,946,625,738,308,756,495,228,013,867,684,728,358,569,312,078,785,
613,486,166,670,504,183,959,726,077,865,342,618,305,628,558,792,450,848,317,
847,687,826,705,291,200,888,519,205,060,056,631,504,450,438,436,116,894,363,
678,190,554,640,949,211,329,689,957,596,616,914,496,384,012,814,720,244,077,
056,353,666,030,491,095,455,831,581,716,419,806,176,815,901,037,886,851,546,
111,390,215,261,596,180,898,292,915,716,705,611,194,488,614,418,414,320,286,
828,993,052,207,162,656,473,358,099,886,843,839,133,792,167,138,264,539,107,
255,559,199,641,150,038,157,167,845,867,351,243,878,323,514,465,383,576,547,
195,711,200,786,979,825,752,561,049,911,396,029,500,269,325,773,074,240,241,
104,220,014,233,880,458,118,876,254,847,155,714,471,815,133,010,478,521,894,
865,353,099,930,209,904,079,039,944,383,504,025,554,608,142,648,789,731,278,
034,007,495,929,446,382,631,706,265,270,604,740,068,171,940,616,822,124,664,
886,724,639,664,086,655,375,166,727,851,512,351,483,118,923,078,946,515,418,
424,469,890,048,962,530,310,120,486,477,123,981,679,253,778,439,750,036,283,
485,368,923,193,549,494,510,177,269,703,492,485,336,584,580,904,744,537,485,
499,990,363,954,984,007,090,344,285,784,762,487,168,423,180,521,187,119,860,
436,261,366,671,040,406,010,289,684,349,370,157,575,703,142,705,907,980,311,
224,550,792,381,751,161,783,209,202,653,474,683,594,945,837,811,118,738,140,
566,356,768,573,523,659,913,297,404,893,522,675,726,896,548,249,018,034,986,
133,409,195,692,833,594,745,888,965,500,429,061,790,129,864,033,022,370,961,
832,804,714,240,769,038,690,892,062,441,236,726,968,707,644,421,427,034,043,
681,739,576,150,114,519,500,016,587,744,760,986,381,834,319,812,925,026,849,
626,910,154,227,345,120,186,033,617,214,060,300,415,534,422,539,665,719,069,
983,308,341,582,784,655,242,736,551,581,898,767,467,081,826,403,505,042,870,
098,203,332,195,740,402,730,673,572,510,340,417,319,401,340,704,359,550,908,
603,701,431,954,060,866,813,609,605,515,855,929,715,899,107,700,829,222,487,
773,021,828,512,742,605,060,321,743,692,436,704,373,091,130,080,237,632,117,
297,861,740,970,910,569,027,442,995,838,474,311,055,770,634,429,268,945,031,
472,503,444,020,193,163,644,659,884,318,628,942,746,379,612,459,244,578,864,
436,832,534,274,222,348,102,032,222,225,791,959,803,504,588,796,750,790,742,
161,346,597,686,312,998,381,484,280,067,831,033,140,299,764,774,617,466,347,
706,143,027,234,911,592,256,565,039,699,738,143,972,624,665,751,551,991,377,
148,649,070,025,875,786,609,739,843,340,590,800,743,312,749,274,775,546,192,
706,956,405,663,936,390,639,233,652,472,202,654,152,423,888,638,484,074,522,
908,770,616,861,969,122,394,975,166,716,937,491,364,803,663,895,259,981,587,
564,865,882,161,829,741,303,542,712,692,472,285,218,692,290,638,238,183,029,
412,149,909,112,516,340,423,161,324,889,575,261,924,986,386,165,634,132,260,
441,348,788,696,252,675,285,810,363,522,466,221,188,170,660,599,157,115,390,
440,263,384,469,422,731,673,421,787,451,732,928,098,473,788,379,931,649,206,
993,986,602,852,000,995,275,428,601,459,971,950,240,648,279,381,280,908,545,
700,812,964,065,769,729,222,728,794,354,958,971,050,812,077,614,823,126,259,
586,405,956,827,747,333,654,227,974,332,790,437,775,881,152,973,466,374,744,
494,247,096,014,887,354,175,736,278,453,263,499,710,201,848,795,891,737,990,
514,967,485,659,389,923,704,945,646,281,624,076,101,589,009,615,335,255,101,
746,207,470,369,736,629,586,715,727,714,578,098,947,334,352,454,098,767,817,
019,483,335,852,467,044,106,257,213,323,866,400,642,793,367,558,990,786,968,
373,241,953,911,209,634,973,690,372,002,880,912,817,042,509,172,060,684,628,
473,014,946,793,982,871,431,254,719,424,345,668,625,154,830,691,230,473,736,
134,709,221,593,630,763,008,408,336,003,977,654,683,384,118,895,514,918,642,
353,590,911,157,989,483,675,270,738,981,058,839,914,315,970,010,292,208,786,
961,122,893,674,018,634,422,864,143,498,171,696,604,783,186,879,003,658,076,
269,059,918,445,004,242,652,451,483,729,549,785,878,353,603,815,962,811,480,
244,673,858,663,664,630,818,506,289,967,126,584,973,066,562,625,099,784,304,
737,923,445,341,073,567,407,171,050,941,456,826,039,254,169,496,205,908,264,
325,216,223,787,069,677,206,012,790,535,686,814,708,656,343,756,374,711,247,
052,000,837,835,273,986,112,186,985,100,684,620,485,340,321,876,247,770,440,
434,030,854,255,012,481,939,084,374,431,380,089,659,933,270,005,980,944,745,
079,458,742,276,926,701,153,760,862,543,897,350,443,128,650,977,580,456,031,
096,129,286,381,914,593,580,993,419,772,749,247,397,503,080,280,431,387,909,
837,888,292,819,533,599,757,193,112,326,638,697,147,883,865,569,283,491,010,
814,827,068,210,581,461,950,947,962,979,512,948,353,201,422,404,733,803,400,
036,578,431,843,415,249,111,419,892,563,665,672,791,497,709,385,121,620,263,
486,950,144,523,731,999,329,011,251,941,722,718,763,683,715,184,846,526,416,
701,112,404,329,816,382,159,283,554,222,157,188,739,668,859,207,702,853,228,
656,803,404,195,925,304,248,034,194,677,306,208,026,855,463,941,332,726,265,
978,266,728,206,028,128,005,406,780,285,654,293,808,469,939,881,719,719,610,
838,879,600,623,199,185,187,232,814,568,233,454,496,405,656,393,844,585,685,
041,547,787,886,989,086,033,556,974,439,720,317,549,998,316,046,651,436,550,
597,663,657,311,849,240,249,808,813,114,517,973,290,361,376,714,978,624,136,
405,596,506,898,107,064,675,864,368,878,122,400,641,645,427,002,615,719,710,
740,980,797,038,659,733,065,784,853,425,771,417,064,481,680,409,017,279,327,
941,981,959,424,472,298,694,448,506,003,968,557,619,315,903,292,583,073,366,
814,361,501,592,965,554,590,681,590,771,329,367,903,051,751,997,624,807,862,
342,255,669,795,044,572,650,543,488,865,410,962,245,529,225,752,098,887,275,
030,206,454,630,236,508,538,001,740,962,597,857,694,138,148,528,478,549,787,
038,897,729,068,652,406,030,825,667,870,173,781,593,057,662,752,073,600,557,
401,201,912,552,764,230,877,941,829,810,944,344,933,455,290,078,621,193,713,
474,586,729,376,817,419,734,539,128,308,974,419,351,712,296,413,607,391,038,
404,143,380,774,829,084,045,662,931,043,741,999,537,777,558,606,597,065,398,
301,199,153,888,168,299,744,827,812,769,647,948,203,518,952,857,435,144,470,
786,818,809,447,774,923,888,419,755,104,149,050,242,823,598,113,354,227,228,
668,750,362,576,596,486,139,095,580,325,579,997,212,660,189,048,671,124,449,
826,447,299,559,762,099,943,238,180,720,604,750,005,579,884,812,787,620,317,
370,391,437,062,999,982,522,147,755,907,728,735,608,401,053,596,904,031,505,
007,328,847,302,043,355,891,033,309,290,609,454,245,960,536,637,997,699,942,
039,489,721,980,872,542,966,476,680,447,125,430,299,979,964,993,851,779,932,
363,090,649,966,940,362,229,991,592,908,452,620,254,903,382,086,246,231,057,
353,288,057,613,569,297,017,302,767,950,731,620,643,643,429,727,777,837,146,
886,889,408,787,841,663,115,547,591,445,769,361,694,695,406,728,889,285,651,
219,130,160,399,776,879,029,241,518,531,845,490,205,984,110,359,905,521,742,
688,223,229,269,329,113,151,013,270,965,835,262,225,742,645,135,954,246,114,
323,579,191,413,796,331,130,355,562,987,889,516,961,181,290,574,933,622,540,
793,447,315,233,381,546,433,525,942,409,521,017,148,855,525,891,259,525,847,
224,490,659,949,060,224,150,947,906,649,295,288,935,838,087,903,734,407,103,
004,416,343,590,587,964,158,839,587,753,868,505,905,835,942,112,803,413,403,
977,059,201,431,417,124,996,085,048,181,902,118,815,769,862,336,669,150,905,
500,828,572,100,333,307,307,055,164,776,793,480,286,524,796,183,199,914,815,
995,308,451,774,098,310,037,750,561,075,902,022,859,235,085,143,735,809,522,
773,868,617,942,096,905,992,365,711,711,863,886,348,863,308,218,871,816,680,
255,384,923,814,778,609,549,316,549,768,074,902,708,600,950,710,216,690,274,
192,023,936,648,766,346,408,993,855,985,519,481,419,244,369,708,359,415,946,
915,172,701,568,440,134,411,404,413,788,323,934,902,441,189,124,498,522,208,
632,460,282,681,903,598,749,863,194,379,230,408,711,758,777,939,844,651,594,
377,621,632,281,224,668,547,104,054,840,975,070,140,501,927,217,467,353,778,
598,435,629,646,053,069,361,991,482,194,633,792,296,155,990,730,790,601,765,
005,858,508,581,833,970,446,802,624,679,698,602,283,422,843,648,024,942,933,
180,166,900,632,067,810,557,963,960,572,082,545,500,848,139,394,029,112,517,
608,507,537,663,059,588,878,306,966,072,499,346,181,187,943,892,473,478,023,
275,790,020,099,783,556,258,081,556,299,056,223,578,606,840,253,052,294,904,
749,440,833,814,386,295,877,308,154,103,496,551,167,966,122,462,916,215,689,
670,659,921,522,923,395,895,467,943,520,862,851,800,959,877,556,594,182,071,
704,321,474,308,752,491,274,800,351,854,232,450,033,057,314,374,412,360,748,
839,162,054,473,257,109,396,992,278,758,054,334,606,788,637,153,221,083,874,
370,102,261,932,181,768,474,162,520,186,801,979,442,294,368,430,526,460,629,
728,988,888,489,841,261,934,457,766,936,617,369,967,300,955,055,853,358,198,
071,502,348,204,921,021,234,886,859,437,479,280,437,910,391,127,491,914,982,
340,298,964,099,659,323,701,419,476,740,136,413,258,037,594,113,084,323,266,
069,066,902,981,290,163,428,226,055,423,610,369,701,647,315,289,305,364,558,
230,929,241,653,013,127,348,044,577,611,092,995,034,602,802,136,592,923,152,
146,316,306,862,877,682,360,182,487,005,145,321,984,179,318,235,789,786,516,
713,020,559,934,124,265,423,468,323,889,591,831,415,042,941,694,850,834,607,
887,994,564,420,510,828,396,124,514,001,061,402,644,342,516,838,786,419,286,
416,603,234,614,035,627,178,737,394,888,771,643,257,625,870,836,888,275,657,
402,480,132,293,965,227,106,545,874,494,064,579,256,569,043,163,797,606,948,
575,297,903,246,178,731,338,351,241,172,204,471,104,603,703,952,363,168,517,
963,026,582,392,008,115,225,082,502,301,378,063,969,930,456,884,092,210,830,
031,327,865,361,284,765,185,947,414,626,204,054,554,585,634,542,925,858,542,
782,266,378,525,762,162,114,737,569,651,645,168,688,051,008,440,649,147,597,
493,480,546,936,190,216,465,920,551,201,990,445,461,460,315,507,085,008,372,
315,905,372,138,012,556,359,764,197,806,651,796,111,331,771,667,264,825,144,
930,002,993,456,974,878,864,987,795,943,833,367,742,004,863,065,428,492,131,
709,862,192,435,297,635,716,801,010,912,040,491,933,670,622,211,949,861,154,
453,839,392,143,255,911,761,369,708,469,759,509,440,903,927,631,416,983,949,
634,817,329,061,276,774,738,375,452,586,407,218,246,642,355,580,492,826,159,
692,406,418,425,738,295,417,014,608,889,672,788,319,551,447,845,451,170,938,
192,453,987,559,803,890,915,826,581,263,587,852,142,164,038,659,673,568,335,
348,366,082,411,431,210,191,623,941,810,985,353,074,177,615,025,191,280,590,
705,437,008,237,384,096,324,628,974,281,717,604,990,994,835,282,337,811,916,
989,274,947,179,303,033,242,569,168,839,495,328,530,938,880,461,513,560,345,
756,920,472,803,138,641,935,879,405,654,277,329,852,350,980,695,129,761,501,
855,706,799,102,975,261,175,885,676,717,363,038,458,316,601,591,946,413,636,
251,756,903,653,399,422,036,775,825,588,780,302,334,769,543,947,275,582,361,
571,051,983,746,241,674,884,974,295,398,048,124,008,170,330,323,583,161,690,
912,156,799,881,129,230,736,488,048,425,876,889,869,793,916,360,826,054,804,
379,690,984,385,846,220,849,241,140,417,217,709,104,013,000,735,804,499,891,
763,768,345,075,055,335,035,405,815,746,815,995,674,789,400,482,301,889,663,
218,891,005,000,519,259,056,921,455,238,044,523,073,770,249,092,275,707,785,
261,055,783,572,727,292,345,431,911,512,928,222,970,067,980,825,946,256,070,
518,535,805,257,307,514,364,858,744,911,851,136,615,682,829,345,635,721,641,
728,386,235,896,205,768,326,511,496,071,919,647,288,128,447,949,862,967,746,
375,311,341,110,238,566,605,288,215,149,452,148,120,314,838,274,228,826,734,
902,746,222,697,891,063,317,984,898,038,061,305,292,244,056,253,151,877,695,
286,693,146,206,674,940,626,297,920,882,975,128,262,511,934,908,234,045,414,
391,412,706,817,145,318,523,382,064,659,504,529,505,613,152,788,767,810,269,
856,695,469,555,706,317,149,243,332,859,817,957,872,363,473,602,916,997,733,
446,263,938,561,554,895,670,789,316,832,526,649,967,242,729,193,762,600,891,
532,376,486,725,653,699,710,535,894,880,233,932,502,485,700,682,077,322,111,
490,304,376,710,112,491,945,705,184,910,731,105,222,430,714,056,614,234,622,
411,390,010,814,495,750,187,819,071,410,710,679,813,161,291,793,235,839,410,
226,244,480,315,984,051,337,225,308,841,687,985,017,292,172,172,997,254,097,
038,216,439,137,518,110,523,937,754,316,374,978,355,672,570,405,434,703,723,
147,695,960,696,064,237,312,467,807,852,862,810,605,456,541,467,104,527,136,
422,221,152,007,974,393,424,611,841,353,018,724,631,945,856,810,005,040,463,
659,585,383,387,829,219,926,932,641,984,612,517,526,328,580,934,047,224,358,
786,046,062,555,085,013,716,826,817,577,412,274,306,253,905,556,242,130,845,
688,337,799,185,749,170,856,369,257,515,834,962,481,720,298,628,672,666,779,
871,770,285,746,671,064,410,475,945,811,580,461,562,947,403,320,453,300,012,
861,691,191,453,347,405,102,199,353,922,463,299,999,972,473,925,570,671,826,
959,746,624,215,661,472,430,643,004,851,021,411,018,322,178,385,239,395,586,
620,740,792,604,425,076,034,056,624,809,980,712,998,454,801,500,544,123,661,
573,969,080,853,846,496,358,682,722,416,999,711,425,670,079,047,226,886,500,
858,421,913,915,233,220,676,714,083,000,601,152,585,937,610,851,013,892,724,
539,253,995,748,216,683,829,199,353,736,212,749,039,494,399,796,385,390,163,
832,644,796,165,277,258,417,148,380,243,567,182,802,220,005,587,916,227,979,
031,437,232,901,042,746,955,702,976,539,853,007,211,759,575,899,004,235,774,
347,543,898,195,600,158,816,614,498,573,924,423,576,280,754,927,979,977,726,
340,386,495,018,409,458,680,285,015,745,365,981,970,715,384,688,350,134,196,
146,234,841,404,742,601,037,891,565,927,151,666,000,731,314,577,128,902,757,
699,827,397,897,906,161,027,386,900,478,674,302,696,843,920,376,984,976,553,
525,837,128,839,786,470,708,144,692,904,357,874,278,996,852,729,975,078,628,
120,589,173,836,087,925,008,287,067,233,058,465,279,420,287,225,357,335,822,
764,455,747,646,899,992,185,195,020,761,538,558,009,714,304,699,127,367,397,
229,689,803,127,093,704,922,636,538,086,265,091,920,189,964,182,385,024,921,
091,266,038,734,181,511,806,857,411,002,695,923,276,894,897,438,275,968,441,
781,498,434,097,866,347,798,104,701,410,375,314,552,052,895,609,691,587,860,
846,259,934,769,833,579,455,204,919,897,799,708,732,747,241,793,341,112,694,
592,257,658,807,669,723,590,317,555,976,431,807,558,187,410,288,074,847,036,
758,339,580,941,970,606,378,970,594,915,282,493,374,540,447,604,180,599,384,
403,252,648,180,846,863,754,421,065,131,026,840,668,108,963,716,262,090,654,
658,021,881,321,826,657,698,728,917,063,391,781,881,463,594,386,491,986,554,
449,335,702,657,751,712,043,806,233,067,386,530,934,424,930,646,032,566,952,
145,733,247,747,993,777,728,637,801,168,672,058,682,264,469,774,899,808,428,
990,590,414,398,191,289,351,755,699,709,155,369,509,163,775,204,751,993,911,
721,413,887,862,460,480,636,313,440,584,305,747,783,777,546,738,080,087,981,
129,474,000,681,611,549,172,268,141,459,050,847,085,350,031,880,828,863,304,
959,130,162,294,176,308,059,274,800,803,612,580,850,556,605,077,533,199,151,
884,295,620,632,837,823,736,777,950,487,096,973,363,493,646,333,501,532,364,
481,816,025,283,546,347,796,803,778,387,040,079,079,555,619,401,828,412,842,
222,631,851,401,878,762,113,908,867,451,996,644,633,875,768,177,002,300,112,
874,675,739,314,690,606,241,422,809,134,414,868,267,424,199,374,704,752,557,
664,927,317,908,028,513,117,001,682,240,622,840,525,205,119,335,405,548,897,
546,831,410,963,846,425,221,510,277,858,306,977,197,250,896,845,012,158,173,
587,852,878,895,179,145,160,247,435,323,588,464,758,095,692,132,551,171,257,
997,587,310,329,572,234,492,966,428,825,278,972,193,740,852,713,859,327,818,
482,623,360,552,323,113,074,104,300,989,080,966,430,554,368,034,252,020,327,
107,927,783,189,896,437,180,896,098,028,340,898,924,051,895,521,067,427,250,
763,227,832,114,253,758,427,685,265,301,506,423,612,040,359,898,454,841,651,
688,054,808,387,905,486,115,367,277,701,572,244,321,320,196,655,279,420,015,
510,189,145,693,020,088,234,914,356,214,626,505,784,699,292,757,471,453,456,
673,778,648,779,328,287,063,040,136,384,619,872,885,068,498,496,950,328,608,
915,372,924,293,868,720,317,120,600,728,671,915,327,312,594,622,237,102,909,
843,656,491,394,231,014,935,588,108,397,876,505,567,000,459,272,473,308,607,
145,713,073,195,500,710,549,024,977,146,977,132,863,403,123,265,493,460,775,
253,927,495,789,860,726,158,336,614,884,653,174,079,914,844,121,308,494,041,
997,864,176,524,151,457,851,690,003,474,811,756,154,215,613,835,085,383,531,
163,041,954,561,050,083,233,833,668,835,662,213,582,284,188,497,833,131,030,
022,806,930,974,407,015,528,889,917,836,386,935,537,704,035,136,852,609,349,
211,120,908,953,500,347,630,718,884,455,259,088,919,580,807,471,744,767,547,
527,731,984,090,060,760,012,828,925,837,433,659,394,281,536,936,074,228,883,
495,478,660,218,407,045,141,192,443,303,234,966,308,208,014,354,439,752,479,
506,489,552,249,092,658,610,270,480,428,865,416,675,550,478,366,445,276,694,
926,438,015,102,265,253,175,349,312,555,517,028,098,593,804,067,179,333,439,
018,431,384,198,245,879,029,024,678,212,701,635,964,983,127,073,741,285,280,
356,585,105,183,229,642,890,910,436,559,570,364,703,582,712,293,285,288,555,
937,775,151,409,768,206,107,814,035,319,558,261,797,430,025,944,444,900,998,
020,330,679,604,263,045,472,064,436,373,055,693,274,767,704,612,257,226,242,
066,744,802,955,664,481,514,507,601,453,859,805,984,501,913,698,737,868,829,
244,836,994,810,968,894,568,507,482,000,958,168,570,832,666,466,935,274,926,
796,314,118,864,243,246,377,753,849,635,708,970,701,142,183,246,309,821,162,
964,429,210,121,311,135,927,089,761,152,262,421,914,172,947,700,363,867,757,
379,886,692,581,437,027,581,020,577,270,941,533,346,409,061,611,068,254,636,
936,748,520,380,895,624,472,597,448,481,023,907,484,733,771,025,195,804,445,
796,215,848,058,187,136,980,042,126,350,464,840,074,208,748,026,341,579,924,
802,705,247,600,829,152,377,051,387,369,266,315,257,516,029,249,804,472,554,
014,435,590,666,292,654,541,353,157,137,639,774,879,987,611,614,335,096,396,
718,934,593,527,430,029,002,052,731,330,382,310,508,495,508,292,049,304,168,
744,795,748,138,527,070,498,594,860,880,559,017,773,683,212,129,763,604,918,
608,246,752,170,606,725,366,623,721,702,206,572,703,855,683,272,718,888,906,
232,925,161,540,103,916,692,198,674,085,763,471,448,649,159,546,185,719,961,
818,809,352,865,353,850,634,864,130,599,772,692,792,247,523,408,801,344,650,
784,408,662,104,059,704,326,867,799,261,180,623,106,290,386,665,691,729,665,
047,884,238,328,473,471,791,983,356,333,542,517,419,849,306,366,094,952,786,
927,832,679,502,636,007,095,338,666,302,322,459,761,826,698,528,216,761,816,
398,125,124,596,972,838,240,966,710,893,733,300,382,100,397,190,939,892,778,
045,636,427,579,607,329,271,938,400,360,847,629,971,678,192,003,859,483,314,
446,439,620,104,253,888,394,984,908,435,332,494,667,193,632,751,685,448,444,
639,428,243,281,948,359,035,677,520,880,911,960,980,973,665,673,023,815,953,
562,924,309,491,209,631,200,219,745,663,657,688,848,799,533,797,354,607,635,
862,051,414,570,543,525,336,829,630,604,403,516,145,918,292,637,576,116,920,
757,757,466,843,609,055,510,979,651,220,946,550,953,194,959,466,075,798,011,
037,332,734,995,768,671,392,791,156,822,472,117,782,896,671,599,092,018,825,
797,883,916,620,426,228,675,686,986,530,524,816,190,224,903,844,517,599,859,
807,347,609,262,895,811,477,498,788,952,032,773,168,868,181,470,713,416,281,
512,329,534,691,648,813,920,146,467,692,789,911,391,092,952,194,437,337,109,
823,779,383,980,636,049,161,512,422,867,554,578,027,440,761,361,493,101,600,
179,425,255,288,042,871,390,512,569,300,424,611,032,490,248,457,148,833,373,
573,622,750,144,274,121,498,724,171,899,606,169,255,161,972,315,632,914,914,
195,377,728,120,377,457,758,950,210,236,928,017,474,490,591,849,345,057,822,
357,339,644,495,853,942,179,856,801,547,135,795,612,449,801,538,151,964,169,
212,068,996,133,443,194,570,452,927,787,784,497,770,822,980,542,768,497,338,
728,209,422,544,567,155,874,592,957,160,456,987,491,515,518,368,485,778,670,
001,968,752,070,670,024,091,408,866,788,493,605,876,962,780,009,549,011,266,
404,132,037,104,198,311,228,628,930,735,768,387,029,053,692,428,993,452,786,
197,852,953,632,747,633,362,460,837,502,103,991,905,462,997,615,718,988,270,
752,750,044,595,317,195,129,937,491,884,774,543,624,102,386,497,721,976,347,
680,642,462,415,615,502,882,795,277,491,294,781,400,174,416,257,345,706,467,
523,304,617,989,570,823,190,144,704,896,672,472,002,874,259,222,573,894,591,
507,301,366,017,339,058,303,848,849,019,989,062,849,257,339,370,525,206,147,
921,532,438,063,062,901,189,793,525,372,281,214,699,290,940,806,969,172,567,
068,515,739,534,269,481,800,507,319,312,959,935,773,952,264,366,458,336,785,
099,893,368,401,673,275,772,183,145,813,479,844,205,370,269,804,535,293,862,
722,537,167,243,414,128,881,307,973,977,125,473,534,035,795,006,477,908,459,
328,952,703,986,089,142,040,405,358,656,183,659,881,816,832,670,421,854,352,
003,294,791,213,204,056,251,348,773,386,259,365,011,506,035,994,177,887,027,
511,004,253,532,740,343,429,329,238,302,997,630,889,475,868,060,834,552,588,
926,679,890,438,867,956,862,628,079,033,090,846,871,597,307,409,246,763,195,
972,779,252,096,042,505,444,012,012,651,301,303,530,107,883,812,348,792,450,
712,445,852,670,361,397,447,403,898,434,553,018,365,498,215,433,750,190,526,
373,696,698,975,774,007,495,277,528,970,454,532,688,451,490,708,607,239,703,
100,039,152,853,533,992,420,910,619,595,150,507,158,545,811,413,788,646,676,
294,248,837,148,486,359,941,018,818,422,462,798,368,260,376,422,782,230,954,
561,600,376,895,293,666,880,001,084,500,879,433,451,139,283,889,352,738,177,
250,745,536,436,814,158,006,350,161,454,673,008,941,519,949,186,763,856,074,
154,680,961,888,837,333,968,679,370,019,896,929,087,317,433,921,445,258,141,
290,345,262,716,114,970,755,936,425,315,212,669,022,877,031,644,777,796,392,
129,144,265,614,304,513,550,078,884,475,720,741,483,716,073,457,372,597,765,
675,380,782,774,543,822,264,997,891,224,938,541,293,693,989,017,613,507,536,
908,729,730,027,984,182,950,842,659,406,285,457,645,534,504,139,659,690,853,
685,973,872,536,890,531,825,447,433,891,590,027,317,645,099,788,995,905,090,
252,735,210,033,110,961,925,369,396,642,924,901,593,768,797,773,262,760,192,
464,523,173,600,510,721,685,053,066,494,431,695,960,299,502,649,896,202,178,
281,509,525,772,109,103,646,199,079,419,812,560,806,450,737,885,755,014,317,
843,910,107,226,718,130,332,988,170,357,403,277,764,576,415,604,294,233,961,
114,108,845,103,477,527,027,712,349,551,589,800,266,422,354,845,276,903,684,
423,272,220,215,112,912,191,113,698,209,032,497,141,012,983,821,974,762,567,
810,680,204,379,081,401,835,001,542,592,075,715,636,020,687,955,819,722,571,
315,454,065,437,636,883,577,319,152,667,764,314,655,632,371,548,725,887,477,
476,338,018,668,716,667,729,330,082,138,366,182,127,043,359,870,905,279,025,
745,715,553,399,783,262,614,702,148,565,956,267,522,838,952,274,644,926,107,
665,456,180,092,788,167,014,601,549,148,961,079,064,859,990,164,141,419,400,
372,703,914,743,401,813,996,169,201,644,539,412,475,575,980,154,458,632,461,
987,573,108,496,174,463,734,967,031,254,741,223,094,423,253,101,702,189,595,
429,606,851,748,601,680,223,029,582,581,314,469,985,404,331,068,912,998,253,
365,855,491,675,109,728,899,531,224,210,907,843,836,466,325,668,378,344,072,
234,371,670,422,874,447,193,634,561,179,223,684,622,470,959,753,826,195,842,
692,950,364,563,687,462,790,120,774,689,944,313,478,485,843,376,383,877,622,
677,773,049,090,246,843,749,619,976,519,720,915,823,135,489,136,324,475,780,
326,085,018,625,738,934,897,617,835,234,385,334,948,631,405,172,988,794,169,
116,987,583,047,873,859,273,185,625,627,846,926,528,381,426,921,843,007,142,
778,866,944,080,458,270,497,837,623,613,006,074,766,820,873,077,346,933,149,
083,056,388,561,466,783,853,872,881,991,015,248,560,983,402,376,744,611,384,
757,334,240,728,730,962,974,695,304,795,042,172,232,472,373,188,527,674,474,
694,828,874,456,334,236,297,901,024,734,144,020,888,714,823,172,839,087,787,
926,071,912,355,223,339,787,478,097,896,778,876,423,254,802,972,915,471,794,
150,971,040,771,415,323,098,341,510,307,956,868,121,203,255,773,288,629,837,
007,642,127,127,195,320,371,507,945,841,661,504,374,772,633,838,305,031,908,
841,199,579,541,129,343,411,673,767,091,959,742,245,561,641,033,935,013,264,
186,233,212,791,347,427,733,966,658,529,459,712,016,803,378,874,905,069,089,
785,388,703,362,827,971,090,174,095,977,959,517,234,161,703,090,662,717,674,
917,997,650,130,003,414,613,400,530,428,971,615,679,628,848,573,440,608,884,
484,152,721,397,575,002,982,850,728,110,267,507,184,766,982,452,712,831,908,
698,794,781,926,643,260,737,560,079,072,210,517,277,491,085,962,046,728,967,
954,291,885,468,813,252,578,765,343,069,571,291,008,532,469,225,269,156,640,
815,480,415,872,592,957,560,422,100,562,463,826,988,626,579,181,677,570,008,
007,180,751,007,513,356,518,524,425,459,862,420,632,079,824,438,884,846,561,
346,682,852,929,288,719,189,554,998,012,380,290,694,645,804,765,973,018,217,
952,364,377,134,583,787,750,377,416,873,157,860,232,150,463,289,508,925,277,
555,030,133,075,407,163,189,095,998,455,969,991,230,248,387,699,817,929,321,
424,864,521,487,871,745,796,955,444,271,409,890,361,309,588,061,497,163,660,
259,267,441,319,773,733,652,399,663,481,683,981,705,886,216,319,739,225,890,
534,328,374,823,723,229,434,593,832,021,877,349,001,841,196,388,456,621,167,
076,800,848,655,357,012,747,288,947,373,722,963,483,821,374,470,023,571,848,
524,334,594,152,251,779,152,587,547,552,287,697,758,977,079,294,078,432,457,
180,846,806,013,950,816,377,326,998,960,971,167,011,065,256,307,392,421,753,
425,114,176,605,194,205,585,265,511,158,291,628,568,810,125,409,383,071,404,
213,871,704,267,308,769,863,813,278,237,905,409,104,380,455,258,540,224,480,
434,931,549,028,661,454,887,234,001,689,009,334,241,390,549,713,546,180,866,
834,549,434,399,700,626,872,856,646,821,000,838,397,097,982,087,217,642,431,
051,617,851,851,648,993,650,084,742,326,476,839,582,309,949,716,435,339,509,
492,606,129,886,672,694,188,610,225,386,161,182,157,874,655,792,087,822,666,
484,929,205,443,633,806,671,597,677,857,517,439,647,970,137,087,954,455,369,
403,549,852,195,314,468,837,680,814,613,936,679,881,131,615,872,288,998,986,
499,856,857,673,529,376,147,617,466,212,360,458,193,786,677,580,800,409,527,
320,734,858,397,592,638,714,199,014,702,331,739,778,292,333,701,411,377,978,
051,549,724,276,506,873,944,924,433,819,699,446,042,044,362,867,478,429,010,
619,315,709,622,248,917,243,294,007,856,949,039,601,916,838,890,236,955,587,
341,692,329,084,083,710,590,351,434,582,997,111,506,419,668,500,570,231,244,
371,854,220,766,878,490,391,967,801,084,423,740,570,119,898,584,654,129,920,
228,853,217,745,989,374,137,702,270,578,102,212,608,955,481,360,331,546,810,
385,899,001,682,456,981,687,048,544,232,394,328,609,872,906,099,210,580,618,
670,233,164,535,070,840,436,185,049,790,327,191,089,110,697,273,165,936,819,
895,246,832,888,119,207,658,860,702,787,849,937,524,985,204,435,552,089,038,
772,753,954,124,036,610,226,525,861,033,081,212,806,355,149,874,301,544,096,
022,675,429,600,536,307,802,082,157,131,545,834,135,772,206,779,213,669,452,
492,004,479,656,264,128,426,838,564,578,852,508,054,540,645,156,578,944,469,
520,322,496,584,408,758,188,721,515,065,692,209,897,796,903,023,885,319,083,
391,628,559,940,607,479,286,831,764,710,104,683,345,564,871,585,438,552,363,
187,985,682,836,519,966,199,017,549,701,665,413,846,494,381,567,191,430,739,
426,828,038,350,390,627,117,957,673,872,877,504,271,493,762,273,664,093,958,
826,464,530,885,940,197,651,847,579,543,489,369,075,652,584,791,069,720,882,
033,515,825,650,962,103,413,402,458,897,539,576,590,447,587,410,536,502,576,
755,012,220,773,237,677,464,223,586,147,081,159,511,341,890,399,609,360,955,
972,366,932,348,624,382,121,592,612,886,545,853,378,188,510,429,797,606,979,
344,794,405,261,721,511,122,865,324,839,821,680,444,294,386,285,578,436,773,
818,113,420,649,722,318,708,677,630,847,101,222,194,185,803,496,299,112,855,
197,551,012,887,955,176,699,503,402,934,468,508,989,388,799,033,540,324,352,
773,157,118,940,091,226,714,082,644,866,088,670,018,365,265,351,341,901,074,
620,272,360,499,360,645,608,369,332,428,653,803,962,328,460,907,537,572,055,
109,439,508,431,624,422,484,422,028,480,430,612,471,986,673,145,093,177,034,
761,282,265,971,717,485,713,709,069,845,133,169,513,478,449,509,211,652,642,
393,192,490,461,224,793,643,385,500,190,257,115,138,821,397,045,770,770,812,
148,923,971,652,458,458,982,606,476,025,401,636,911,688,491,385,999,555,829,
553,330,607,320,802,452,632,051,055,362,098,069,624,715,422,485,471,945,372,
867,237,389,027,916,841,750,153,332,461,275,456,929,815,656,868,535,575,241,
887,032,971,233,761,455,982,287,194,566,407,606,644,485,598,177,385,735,622,
107,927,581,235,647,992,278,541,916,128,928,110,059,340,519,816,305,388,140,
616,791,285,592,431,100,406,760,815,028,540,908,751,945,710,505,245,780,885,
659,762,453,473,327,639,119,281,783,929,204,206,000,141,530,842,489,611,652,
338,727,499,237,856,648,734,708,648,797,808,783,155,872,164,297,714,157,522,
547,807,213,890,097,585,427,916,154,768,110,493,587,735,053,393,137,113,473,
645,391,515,484,864,690,661,334,317,441,177,784,807,867,776,304,676,738,293,
924,617,828,585,727,743,702,452,123,992,804,960,490,360,849,799,852,914,262,
991,999,610,509,124,757,998,117,446,289,086,494,692,774,956,312,891,926,002,
840,895,984,127,746,942,488,742,356,204,305,840,473,655,039,624,348,342,838,
300,777,480,569,530,511,747,301,785,439,484,834,744,716,220,599,179,546,049,
653,625,780,405,204,067,607,873,062,495,298,933,240,362,158,534,627,878,319,
669,893,191,485,322,766,503,121,898,529,054,938,563,004,727,846,060,181,575,
721,445,315,242,171,457,916,126,286,837,068,476,390,194,940,795,905,635,888,
195,546,532,938,864,426,386,878,120,939,067,597,774,666,815,351,387,182,330,
075,920,841,609,375,698,119,857,340,849,271,590,215,625,793,464,212,840,383,
719,794,317,171,491,737,454,909,474,168,398,194,303,087,835,995,468,679,086,
910,836,129,951,794,038,223,366,876,952,646,667,099,343,635,235,576,593,900,
541,520,490,882,588,269,965,053,929,760,074,709,852,907,987,150,862,058,583,
184,449,103,269,415,537,362,200,391,841,278,299,470,011,176,744,371,923,226,
462,580,971,812,652,685,841,390,433,299,599,964,681,313,584,412,952,234,857,
190,461,031,422,081,833,329,363,627,945,170,916,342,552,464,237,292,847,795,
244,254,477,947,918,958,875,258,349,468,784,119,076,558,923,458,654,176,945,
115,988,342,098,302,168,759,821,004,029,272,946,627,387,229,701,088,928,026,
061,717,226,980,034,633,394,378,879,617,816,342,423,106,827,277,296,902,362,
816,401,548,805,449,514,394,112,491,827,117,466,854,188,749,124,848,988,118,
741,016,515,870,948,582,568,442,980,830,424,951,621,939,489,062,104,326,268,
111,049,526,694,167,524,023,743,686,775,831,381,200,847,512,866,710,237,506,
458,053,542,290,899,662,126,862,686,543,243,742,782,795,025,005,538,389,639,
918,792,915,135,466,214,046,811,524,436,427,514,960,820,133,940,406,795,924,
219,635,179,713,492,806,946,298,073,579,695,978,501,994,676,751,412,657,244,
233,783,252,781,695,820,603,433,670,307,065,083,610,963,493,324,996,359,011,
850,506,899,761,192,485,328,040,876,356,945,240,858,399,358,826,668,332,117,
895,555,419,486,515,200,892,244,265,245,031,361,648,549,423,188,448,986,600,
694,230,213,877,106,740,896,193,627,413,074,270,011,720,426,475,473,404,836,
428,667,364,157,849,966,693,188,963,098,240,932,185,854,320,436,373,581,248,
830,980,823,424,187,139,288,342,156,507,137,640,167,701,136,150,154,605,719,
881,609,963,002,532,340,791,164,324,945,621,878,440,217,220,509,848,806,601,
028,302,474,481,789,089,361,011,050,393,486,532,519,504,273,338,668,529,568,
692,286,299,540,164,864,427,352,782,014,436,256,869,103,545,631,767,288,059,
434,822,791,879,871,133,210,775,713,839,204,594,576,789,804,773,503,623,797,
097,836,833,834,431,310,043,064,300,016,363,420,382,595,261,023,092,898,935,
622,462,571,252,867,579,623,310,182,354,195,752,311,154,903,035,185,358,982,
927,266,741,581,174,388,936,647,230,468,769,974,873,184,772,493,870,299,478,
968,245,340,548,732,415,543,048,183,162,331,175,979,235,980,134,761,259,697,
048,558,634,132,779,150,428,352,689,598,020,983,032,826,251,837,701,313,884,
184,243,215,555,621,345,788,913,806,296,879,633,711,195,856,871,221,440,821,
020,374,713,746,975,275,142,597,321,760,369,079,211,579,783,007,697,966,334,
058,131,416,157,443,906,205,689,627,714,561,648,596,504,560,118,377,459,722,
815,733,373,737,464,622,022,931,537,415,721,196,807,606,580,379,959,996,122,
152,281,178,156,892,870,464,406,616,548,900,321,644,650,535,622,170,336,471,
916,961,466,955,524,188,067,143,118,797,585,044,292,398,024,512,869,900,422,
090,132,525,288,057,757,256,239,620,065,546,285,599,445,049,292,919,148,235,
791,668,358,149,393,099,233,911,747,327,468,724,031,011,095,021,698,499,022,
608,310,288,274,692,329,794,471,439,198,609,272,968,890,611,662,288,503,290,
430,861,760,201,877,738,486,014,450,740,272,033,040,464,617,730,624,813,335,
926,473,834,613,960,025,986,029,656,096,469,739,246,266,663,544,251,150,371,
248,444,165,485,527,300,204,234,160,273,804,994,970,501,004,497,470,956,890,
759,314,201,248,544,358,183,032,946,466,683,832,373,164,309,810,674,075,788,
278,256,649,135,557,334,731,298,843,078,612,378,815,742,962,523,770,986,402,
789,880,464,404,525,369,716,420,924,289,281,190,806,336,041,540,266,064,652,
599,871,417,597,745,858,801,190,943,686,257,404,752,326,834,414,334,098,798,
499,757,662,731,827,271,243,060,517,092,014,117,434,937,790,808,276,120,441,
736,405,711,028,585,677,665,002,900,846,209,323,711,523,304,976,858,839,180,
157,767,994,600,420,121,436,553,106,135,511,315,080,314,100,015,421,738,267,
703,883,551,417,775,825,304,265,346,953,929,101,481,273,939,032,335,504,081,
064,953,437,514,747,336,176,441,200,337,047,229,791,590,894,995,165,991,176,
208,943,382,847,638,309,216,613,496,000,064,777,395,617,153,375,914,459,785,
022,002,379,776,050,054,576,160,310,271,119,953,810,645,240,330,660,713,495,
892,784,502,113,226,467,138,579,987,616,568,347,694,222,214,483,482,439,820,
455,499,451,576,482,317,960,374,005,544,187,712,471,335,105,306,086,081,064,
773,448,244,673,308,286,667,486,834,061,322,807,877,544,683,485,844,016,249,
371,071,753,560,200,407,905,654,628,968,596,951,022,147,957,308,205,828,077,
667,022,005,837,595,092,249,251,425,835,381,116,196,518,221,867,757,699,261,
896,285,638,258,573,289,580,000,392,114,365,147,119,343,009,334,909,673,101,
957,432,077,818,968,670,373,343,912,030,521,868,033,399,501,365,506,368,921,
520,445,634,602,098,548,569,104,125,146,682,278,882,541,728,720,180,144,163,
689,642,370,297,577,188,470,910,258,660,701,546,120,053,268,437,232,236,347,
849,360,371,230,457,914,531,605,506,419,227,514,200,582,671,078,686,217,686,
536,312,644,844,325,499,964,726,911,700,445,176,283,502,483,511,741,206,808,
095,959,933,318,834,914,116,363,920,013,734,166,073,835,343,836,935,420,206,
698,689,213,713,978,315,521,654,578,518,412,610,189,000,453,205,979,279,213,
305,740,480,409,080,365,688,877,663,405,576,518,127,405,532,577,054,351,126,
331,023,110,947,640,296,780,809,504,239,400,284,788,902,769,767,235,460,432,
523,906,780,091,682,558,966,346,731,321,900,238,043,599,293,070,409,269,135,
119,518,599,946,279,452,614,101,333,540,862,787,954,161,777,451,844,829,301,
456,960,025,793,451,302,350,746,715,559,331,578,118,792,336,905,223,993,163,
454,179,333,667,863,810,214,806,636,600,454,099,599,429,172,163,728,413,214,
347,985,274,492,759,497,015,767,658,240,638,849,682,875,787,789,295,146,843,
095,328,483,569,047,709,294,528,307,901,484,537,533,825,779,546,545,792,196,
731,106,601,717,447,314,335,034,400,273,523,048,757,066,889,348,343,720,225,
111,106,549,391,726,163,972,594,187,187,107,749,296,645,861,622,810,375,722,
600,698,592,670,588,006,548,675,972,262,135,336,550,821,412,261,468,699,878,
727,984,086,412,602,258,571,305,053,777,489,382,667,838,844,878,990,062,750,
819,092,231,555,690,316,678,719,680,916,242,316,172,625,757,901,060,640,145,
078,315,308,953,570,748,212,239,124,932,792,086,199,922,580,899,941,344,500,
924,127,454,327,806,955,687,987,471,729,645,723,396,415,023,001,527,886,539,
272,748,856,708,232,907,005,841,768,018,152,298,786,022,893,101,859,725,392,
117,680,328,450,766,559,242,419,643,344,544,874,950,165,141,962,004,791,080,
413,694,276,447,701,469,481,670,377,609,116,079,317,825,777,848,081,573,754,
479,243,281,743,029,854,904,702,638,899,403,815,080,436,196,856,853,696,379,
041,550,031,289,806,023,090,499,553,538,455,942,642,246,680,203,887,333,058,
301,210,909,265,857,134,002,581,457,557,551,825,775,571,782,748,957,791,822,
307,096,231,915,718,543,667,991,369,866,098,521,092,347,304,707,313,804,413,
535,520,034,311,281,342,817,163,209,043,144,448,151,850,060,871,443,879,726,
448,031,880,923,273,291,181,764,107,761,686,104,970,186,516,320,251,469,976,
445,492,574,238,618,106,523,965,942,170,761,503,327,406,807,615,056,048,782,
558,024,264,667,966,275,982,439,596,912,412,751,174,566,659,513,733,895,713,
314,276,861,364,893,958,569,207,793,087,526,268,477,341,034,790,075,354,840,
664,375,398,965,638,678,789,267,029,682,425,523,956,618,154,176,363,703,319,
325,355,773,669,939,774,517,273,851,028,346,654,530,349,716,606,149,555,628,
727,603,224,590,947,506,505,489,885,415,497,615,492,529,433,381,165,891,674,
209,763,117,832,557,418,611,261,019,239,979,242,156,039,716,016,863,161,370,
652,266,188,604,043,032,531,812,374,407,376,436,715,067,573,174,571,869,821,
901,679,298,634,827,697,986,008,789,793,832,994,671,044,447,672,372,920,400,
662,122,036,122,516,301,000,240,534,013,413,813,791,558,714,506,242,461,651,
631,323,029,752,561,938,226,132,997,954,111,089,581,665,622,550,537,242,488,
292,398,142,063,257,653,328,616,174,218,129,492,087,839,932,085,700,168,997,
940,879,736,194,396,039,141,260,400,835,102,581,404,782,876,322,138,744,952,
959,827,823,282,787,198,072,978,693,301,312,197,993,363,864,828,789,050,562,
237,702,401,997,900,817,080,228,972,773,814,370,571,008,062,600,039,703,551,
297,612,259,940,478,901,775,631,618,935,490,310,346,654,689,668,905,977,827,
014,572,817,710,058,807,525,234,298,238,323,687,232,849,884,077,251,215,522,
993,025,557,919,470,789,404,592,707,593,555,147,806,029,479,145,510,843,088,
246,962,643,794,946,807,142,653,538,040,252,713,283,147,008,252,499,067,759,
631,662,580,288,592,688,139,502,783,052,170,859,667,422,673,176,176,128,058,
335,090,641,289,985,479,883,195,877,020,763,423,841,052,474,905,888,009,092,
796,288,313,304,206,572,449,876,339,731,714,944,990,869,141,155,491,235,954,
118,872,749,877,578,354,869,732,850,921,138,108,906,918,167,192,127,675,275,
536,601,438,674,353,427,411,633,964,513,760,888,783,894,922,746,202,891,647,
481,268,902,690,695,906,177,317,982,432,855,352,257,187,556,838,879,379,589,
011,163,053,313,598,302,672,290,486,193,399,413,877,003,093,973,797,272,561,
862,939,768,130,019,804,003,428,040,639,311,245,156,096,348,141,966,031,791,
083,277,647,702,624,930,134,888,596,031,617,314,309,014,923,012,232,210,327,
506,224,911,235,256,178,153,796,488,405,637,377,461,662,747,815,468,516,926,
106,699,916,079,101,888,005,007,639,006,531,621,672,798,345,125,321,100,457,
583,666,254,174,186,251,186,891,794,947,093,127,419,610,082,840,015,030,354,
174,911,879,904,149,291,469,761,031,820,079,193,417,720,037,773,077,751,757,
963,938,615,304,361,148,568,396,524,695,184,168,075,644,004,243,764,325,636,
988,913,521,399,426,804,971,724,043,517,815,194,668,919,131,064,015,558,449,
730,694,938,332,597,803,642,963,735,958,950,572,060,681,597,616,074,066,882,
827,765,141,274,414,032,620,352,610,632,930,157,334,586,479,114,963,606,449,
196,603,340,120,990,285,579,597,927,445,146,837,457,618,411,925,804,519,986,
512,035,337,980,331,015,944,098,313,798,951,570,591,860,023,538,970,685,634,
826,725,578,847,896,670,609,220,732,388,774,190,006,046,943,269,316,307,895,
093,878,131,673,698,355,450,404,906,520,727,943,865,462,720,722,353,578,525,
805,386,182,164,126,159,459,890,277,915,034,219,261,137,631,407,522,465,216,
220,164,149,878,473,371,436,389,093,859,128,046,922,782,870,440,477,493,655,
552,337,627,182,332,775,519,644,724,147,966,031,257,202,276,004,279,201,774,
393,337,900,003,751,938,123,421,304,925,948,633,954,945,511,571,473,656,029,
229,330,526,193,528,577,739,333,802,252,578,093,582,716,383,190,364,028,731,
092,938,502,218,843,848,923,676,675,194,355,444,374,596,394,908,032,873,232,
216,975,470,814,070,578,953,455,994,540,717,927,692,735,667,536,035,502,756,
607,826,359,066,321,443,975,676,074,325,486,657,614,132,411,918,774,653,770,
042,291,386,532,445,084,967,715,251,653,499,166,581,629,123,984,584,288,278,
137,098,280,213,098,266,740,933,466,650,376,272,412,692,098,646,530,744,390,
465,509,377,467,519,801,621,855,617,753,512,768,323,065,392,848,513,910,902,
075,403,062,403,604,486,393,192,649,168,217,260,979,266,061,027,343,914,648,
448,488,928,768,088,346,247,601,137,011,184,295,006,324,577,792,573,875,274,
880,425,965,960,087,862,515,348,103,288,777,478,993,361,327,015,660,560,477,
967,829,247,735,912,786,323,884,881,079,922,823,624,129,833,274,794,225,399,
203,027,371,555,587,897,055,069,050,593,902,437,707,886,389,040,156,129,532,
467,047,364,830,912,326,900,605,153,012,963,718,154,073,861,235,184,252,001,
718,958,502,422,449,256,877,058,482,813,810,531,845,155,357,772,450,422,763,
856,149,378,288,608,141,805,950,680,706,541,189,528,455,852,016,079,925,531,
311,989,760,988,978,191,210,307,557,527,695,597,677,369,278,235,110,841,311,
778,474,836,563,098,914,478,593,597,670,949,412,136,766,728,815,595,863,562,
247,361,781,876,372,559,083,681,487,393,222,028,763,442,216,508,107,137,722,
541,853,708,672,675,206,018,640,809,323,899,934,381,997,359,559,321,321,297,
929,801,606,854,974,021,132,059,812,540,138,481,136,729,411,516,294,292,168,
848,870,495,155,418,944,872,406,876,130,051,137,531,131,629,248,060,428,694,
972,892,166,764,676,572,069,913,579,684,185,115,074,919,666,054,398,259,419,
741,755,148,478,155,220,219,642,863,964,223,656,101,401,754,644,555,818,163,
628,644,161,124,021,508,998,759,432,176,355,723,751,762,281,546,472,447,259,
014,207,684,088,015,215,209,682,961,627,698,194,739,374,771,205,651,416,893,
278,238,908,710,209,273,613,646,218,561,852,272,807,024,873,904,851,497,353,
881,057,087,947,793,046,072,762,372,436,838,910,351,766,111,270,694,431,308,
673,659,262,053,295,251,984,561,886,744,431,545,773,541,568,666,366,594,831,
839,143,660,356,400,409,695,580,895,619,425,148,104,339,860,959,845,127,445,
986,829,521,419,504,560,984,415,224,363,931,532,260,502,392,797,034,639,060,
469,952,996,673,275,771,032,733,418,382,861,002,680,907,093,180,788,858,921,
537,339,321,346,893,806,260,265,660,787,662,148,951,422,639,682,431,677,377,
702,608,123,335,030,779,515,847,027,303,039,630,334,740,602,199,314,962,476,
452,112,657,931,315,434,341,047,491,039,337,558,536,470,058,208,182,631,193,
817,662,607,940,373,663,507,028,799,532,867,264,128,431,765,078,319,854,593,
529,562,614,726,658,391,805,603,025,409,186,492,797,077,684,922,516,531,938,
084,557,493,634,707,820,351,423,475,223,451,961,577,845,545,541,108,911,802,
175,642,633,791,235,060,662,062,213,599,168,232,529,326,450,184,580,660,047,
549,015,883,644,826,856,137,705,331,948,110,615,691,666,995,401,591,670,021,
438,752,473,114,983,562,286,063,300,594,873,564,406,786,395,985,829,290,049,
594,566,994,837,641,569,372,929,500,255,213,410,570,129,591,106,381,784,104,
079,608,363,137,592,032,328,502,333,890,156,831,858,810,430,332,109,113,730,
184,243,294,226,137,383,081,049,084,275,034,283,931,900,187,291,579,850,013,
117,422,477,388,877,312,049,353,725,851,587,858,925,301,436,919,020,255,264,
391,559,302,387,202,312,563,881,774,483,438,461,207,527,315,390,891,296,221,
911,898,333,475,819,316,461,658,169,843,526,653,269,558,110,203,795,199,410,
912,318,514,808,514,567,157,814,867,642,290,751,132,414,160,877,961,985,125,
461,148,883,002,346,234,696,195,598,087,307,621,365,504,954,518,061,128,411,
357,518,000,279,260,346,451,337,448,420,336,398,293,693,024,398,438,081,293,
347,204,127,488,864,612,344,991,172,007,801,088,230,920,702,334,239,981,499,
563,930,764,308,104,913,496,054,158,244,581,088,626,420,824,739,486,048,682,
824,560,190,031,988,979,391,141,084,731,576,618,734,847,407,482,664,631,849,
470,215,985,231,481,505,889,289,131,255,313,420,892,809,292,541,745,449,188,
529,993,483,374,135,615,269,040,963,022,427,524,904,214,558,661,883,841,890,
945,985,021,033,433,017,803,345,622,441,498,970,064,540,038,671,194,731,209,
623,135,717,145,570,307,476,355,006,809,028,545,478,809,331,081,071,189,359,
100,582,612,711,325,052,564,167,026,533,122,986,304,897,491,733,922,833,444,
756,312,646,808,358,749,861,111,914,584,000,908,087,356,939,063,588,287,941,
188,525,885,077,727,007,452,267,922,312,665,278,744,553,029,657,887,104,028,
703,082,816,750,933,681,100,759,950,812,107,908,847,699,614,965,043,624,306,
990,687,953,326,909,254,329,577,714,452,201,198,120,512,449,277,697,032,246,
243,284,783,973,245,175,281,029,135,852,281,409,410,354,758,169,189,148,516,
810,084,059,076,847,799,063,531,966,720,970,925,828,785,226,723,467,970,839,
605,564,852,981,696,796,885,225,430,920,352,081,098,633,101,020,014,365,453,
212,247,950,420,362,836,895,130,541,214,800,829,491,745,647,915,533,816,636,
707,309,031,577,911,935,682,992,594,449,720,598,087,609,841,445,847,643,172,
492,974,977,918,021,579,456,698,140,018,129,722,665,137,717,383,790,130,507,
931,770,954,086,547,843,787,362,694,767,438,845,777,547,210,266,709,309,409,
171,643,775,227,161,824,534,665,821,277,622,778,821,564,881,444,413,372,499,
985,311,366,110,223,464,363,814,618,426,907,254,409,162,473,947,103,282,713,
970,664,072,049,868,429,600,767,064,847,666,882,522,714,105,012,065,342,768,
844,692,515,491,344,450,005,046,984,669,832,677,813,394,081,808,280,661,887,
001,734,852,893,140,188,946,091,515,545,503,836,693,124,423,355,978,411,981,
470,421,868,500,993,654,449,017,059,441,911,823,420,658,566,463,061,802,867,
772,180,112,964,543,378,653,333,580,681,674,833,923,106,693,665,030,859,301,
704,967,407,261,293,584,525,374,136,669,746,198,885,206,401,933,914,485,361,
025,228,458,468,190,052,706,837,949,164,873,607,579,452,014,585,781,978,885,
956,071,159,544,972,200,700,753,002,216,811,876,220,867,253,797,463,195,211,
147,260,155,571,656,493,530,792,234,587,963,629,902,393,713,024,288,741,558,
556,198,786,717,078,037,857,231,985,649,500,315,903,303,933,934,129,464,661,
625,419,266,152,128,718,074,506,328,378,009,812,644,248,355,371,649,901,747,
736,596,885,119,671,399,717,365,839,335,949,452,287,653,288,133,330,174,610,
714,258,268,211,456,291,377,248,427,285,153,126,814,100,009,655,118,054,172,
033,613,991,455,456,820,753,404,556,153,456,595,258,578,887,985,469,835,028,
383,985,189,734,768,245,281,335,416,498,203,381,139,307,031,190,226,711,730,
964,124,233,222,911,045,724,463,118,836,961,944,297,768,028,090,168,867,506,
238,563,445,184,115,357,735,842,773,400,803,439,584,496,687,805,858,949,268,
336,239,686,415,109,698,018,960,711,940,895,645,971,478,260,526,101,162,449,
467,010,286,839,009,897,960,931,796,965,499,116,373,055,002,459,101,968,389,
249,015,377,267,590,565,675,696,931,619,580,227,892,027,778,265,183,254,797,
718,083,844,671,798,087,184,996,632,756,303,795,948,988,415,792,492,534,391,
275,089,041,385,390,088,472,939,537,869,969,078,580,481,888,516,631,077,781,
489,347,074,990,615,308,164,560,293,393,913,682,751,630,759,472,663,165,670,
997,275,057,755,557,139,527,205,598,751,228,677,238,778,174,182,738,537,385,
085,293,231,370,708,734,108,550,230,019,858,242,660,078,591,716,376,796,560,
025,964,666,194,070,996,604,746,194,381,906,712,794,522,228,153,716,802,584,
245,234,873,461,502,761,225,822,901,471,800,151,438,336,993,453,583,394,055,
183,939,891,773,295,748,742,647,763,525,295,470,639,285,800,966,505,077,221,
995,595,234,445,011,053,938,629,681,343,383,719,492,118,329,894,044,374,744,
048,453,629,042,155,291,838,582,630,804,578,440,474,436,617,934,639,910,167,
258,429,311,237,911,999,713,029,536,701,725,698,281,034,781,454,981,328,083,
470,867,913,486,606,260,209,728,912,138,623,279,499,292,091,536,374,337,613,
587,060,897,786,458,358,196,424,891,633,991,392,603,820,925,676,032,225,864,
240,139,211,973,357,465,639,939,756,098,623,892,700,854,201,537,900,876,792,
486,732,999,854,676,313,627,778,102,787,176,622,457,933,129,859,597,768,733,
659,474,353,698,377,795,447,656,601,874,499,190,677,004,558,074,689,678,084,
571,456,381,073,699,493,471,458,182,136,973,990,279,592,136,377,552,730,587,
899,294,352,782,034,649,804,312,410,734,377,228,246,235,460,899,625,567,918,
991,101,006,299,115,385,191,900,179,577,807,582,109,531,672,260,116,410,323,
176,390,245,102,582,921,860,724,563,344,343,929,933,616,997,405,502,528,671,
633,294,530,117,176,095,137,880,173,709,746,068,636,149,279,351,402,245,038,
278,574,572,378,112,597,871,377,308,729,738,662,207,656,599,453,315,327,966,
754,680,348,234,853,082,218,174,738,134,767,965,622,200,934,235,761,835,862,
610,448,703,433,245,573,338,539,801,785,601,145,831,966,332,639,983,128,960,
073,768,352,084,694,718,360,732,345,084,369,362,694,269,025,554,698,999,747,
751,329,105,999,656,268,224,660,048,075,095,534,075,564,116,265,623,399,734,
673,522,463,684,547,433,867,152,119,569,763,460,200,075,735,548,692,301,389,
921,012,059,987,680,274,609,241,456,604,197,673,884,051,605,367,707,836,698,
578,845,769,896,141,751,698,606,642,257,033,301,055,435,973,134,664,312,588,
743,821,151,735,137,609,040,813,007,698,882,317,353,725,630,359,378,660,307,
563,791,481,641,679,173,443,838,131,555,281,438,069,254,414,732,445,457,395,
479,434,075,920,786,735,966,833,976,586,581,695,130,745,374,853,212,398,575,
304,739,536,674,552,812,514,631,107,245,512,879,017,647,209,146,110,031,562,
744,907,662,969,819,780,866,048,762,600,073,884,694,455,022,221,748,672,175,
965,848,377,940,675,471,295,198,510,598,314,832,903,657,886,296,677,432,188,
276,034,326,640,658,210,133,268,490,907,629,981,033,537,105,741,632,929,388,
626,749,583,519,960,124,443,705,786,253,482,324,663,323,963,083,777,913,663,
162,777,503,842,100,565,567,651,884,721,844,597,610,114,631,860,622,683,841,
066,112,452,146,707,601,555,622,016,738,678,071,200,245,863,919,751,818,710,
431,024,063,028,644,497,044,810,732,807,596,156,431,422,874,781,861,923,378,
431,339,482,781,063,192,819,250,189,768,421,526,303,032,966,301,390,527,749,
745,447,824,712,563,596,697,250,754,582,085,871,483,698,863,549,571,090,617,
118,556,459,223,362,651,432,613,450,213,648,921,426,379,816,241,400,889,949,
869,020,257,608,565,884,034,758,181,915,597,512,902,333,717,412,032,495,773,
303,078,925,650,117,530,439,061,878,486,494,986,116,410,172,138,157,390,381,
673,858,613,019,883,880,199,374,089,202,867,067,621,809,845,261,382,768,620,
013,274,552,997,842,831,066,647,408,120,723,413,434,591,784,408,643,120,041,
490,769,105,797,697,091,570,963,282,868,039,357,672,186,049,955,752,571,399,
029,189,516,078,443,572,895,993,809,342,562,904,178,943,834,608,917,249,701,
470,510,437,936,851,784,577,060,848,087,414,559,533,689,933,287,050,923,148,
168,984,098,432,234,176,129,698,101,016,023,764,123,319,342,690,796,424,032,
526,226,069,866,526,916,944,932,822,226,597,619,522,392,399,255,775,347,951,
609,526,895,046,450,964,273,740,607,528,879,318,752,452,905,451,630,312,576,
250,814,995,431,764,637,572,971,019,784,843,485,189,664,722,865,481,849,809,
308,250,422,698,460,094,296,633,432,705,802,120,852,413,602,646,501,056,697,
241,541,486,402,936,878,291,366,862,981,012,324,228,495,023,260,941,393,830,
375,079,770,614,165,818,781,085,685,170,502,778,917,533,297,059,284,552,348,
807,636,865,219,693,868,492,141,142,942,947,338,864,985,868,781,141,963,857,
632,650,404,256,518,823,271,285,276,564,369,949,464,572,342,323,072,555,669,
294,558,519,129,082,263,957,065,492,984,579,424,513,264,039,211,479,977,409,
824,645,304,954,556,009,714,972,663,877,667,274,382,048,620,758,951,727,090,
328,533,068,888,393,025,917,805,292,817,832,548,224,677,758,422,848,962,327,
928,606,330,363,208,556,436,885,414,632,534,652,003,431,487,390,387,951,328,
532,597,183,655,799,657,508,522,962,873,775,188,533,574,940,061,781,844,533,
587,689,361,850,266,759,268,374,341,357,625,653,055,038,148,169,232,644,884,
845,115,226,502,649,662,999,890,938,403,138,769,439,075,426,827,922,563,215,
179,603,892,331,736,127,797,981,156,846,541,342,979,987,700,696,128,518,949,
951,087,868,588,615,789,572,767,883,261,711,377,364,752,830,344,648,756,265,
587,941,526,580,376,054,575,596,157,095,866,603,535,209,513,971,617,674,230,
901,696,835,468,161,101,835,731,496,653,334,998,780,235,226,187,879,371,833,
934,146,716,003,917,966,541,085,352,624,056,956,053,483,778,055,088,802,249,
123,209,121,475,401,703,330,913,644,352,266,067,974,694,810,546,825,854,360,
722,349,937,693,776,137,043,318,276,478,317,675,980,449,576,875,737,957,135,
963,833,640,985,717,405,306,448,666,537,763,397,712,327,556,469,396,365,929,
296,445,933,549,556,538,723,358,271,545,016,584,442,937,744,301,795,049,416,
081,309,757,773,422,198,142,198,585,668,780,520,475,000,399,470,155,959,576,
513,091,065,744,475,555,398,544,360,346,451,150,609,696,967,039,646,031,973,
953,561,065,819,161,685,737,184,672,987,620,554,883,372,717,141,300,544,134,
356,681,990,709,324,608,911,331,921,631,477,646,299,875,034,975,146,844,994,
646,143,234,902,006,383,645,615,980,600,484,520,397,532,386,765,806,903,118,
678,527,366,800,305,116,090,479,596,203,719,009,426,637,460,182,763,348,141,
526,120,234,745,873,249,792,620,908,788,617,157,957,831,627,166,737,098,140,
812,935,725,493,089,403,265,929,319,640,425,960,590,049,878,202,200,547,139,
916,922,519,769,990,644,774,666,428,885,918,390,660,944,179,725,790,031,447,
818,055,001,635,563,890,592,244,562,291,997,824,025,854,094,610,608,092,686,
749,577,534,560,298,997,480,684,494,579,592,894,478,849,971,051,022,647,555,
697,221,630,969,266,273,741,947,544,760,759,126,079,879,825,971,301,817,309,
288,188,557,016,850,195,570,757,965,190,207,954,944,280,450,505,462,069,039,
001,096,565,694,196,262,992,329,012,772,206,348,069,184,940,101,698,413,059,
185,798,249,745,684,857,534,074,952,039,038,915,040,314,351,967,201,821,702,
573,446,542,124,863,589,346,405,704,497,946,065,490,253,598,641,940,756,299,
820,076,163,373,708,544,078,451,453,703,417,328,796,563,748,009,365,110,441,
636,758,831,867,245,983,119,330,758,477,677,171,922,670,020,830,750,415,546,
916,117,145,486,527,476,699,275,208,942,173,530,576,715,601,674,905,794,343,
969,439,949,919,051,536,377,566,354,650,529,488,211,933,316,263,299,729,844,
927,326,771,460,958,737,630,021,407,299,692,460,180,995,014,209,893,724,148,
302,070,506,087,930,648,173,682,806,363,192,754,903,836,225,856,785,781,678,
372,108,639,585,482,737,792,540,683,380,738,769,705,697,332,495,752,745,871,
854,897,268,164,633,563,800,685,718,591,173,045,177,564,978,014,116,965,330,
532,280,639,536,442,813,419,124,169,849,511,747,447,723,232,652,258,443,214,
794,970,316,484,916,496,834,766,385,431,105,741,846,470,667,729,819,790,903,
934,510,761,028,341,323,532,947,501,142,386,844,428,278,549,184,576,145,327,
617,402,473,986,108,810,097,365,744,235,522,052,027,012,085,338,240,610,737,
352,363,899,690,108,771,102,637,957,518,229,344,698,602,355,004,413,541,084,
473,872,995,351,845,467,730,858,141,783,511,185,186,372,860,876,714,902,092,
873,441,981,280,361,780,616,055,159,746,197,574,284,141,754,561,736,135,246,
760,628,832,551,881,188,984,701,845,367,577,197,825,254,981,920,872,995,083,
255,986,949,712,644,227,961,931,541,511,820,311,192,893,894,472,339,837,781,
974,035,658,047,881,230,061,593,509,331,764,850,629,055,473,215,907,187,932,
592,122,073,044,867,747,267,058,683,384,405,939,950,232,318,629,898,448,301,
749,863,994,335,777,665,041,390,940,330,944,904,160,819,035,072,426,284,250,
599,868,345,531,269,896,238,933,037,106,541,582,644,825,145,803,822,362,523,
217,855,107,502,671,580,834,628,373,103,203,467,519,922,097,524,089,494,214,
824,511,188,847,958,442,331,194,614,071,649,211,846,473,274,280,097,290,327,
427,541,090,158,944,451,679,201,168,443,367,324,198,748,732,664,825,773,728,
647,050,870,241,187,838,107,242,659,477,165,355,892,886,317,644,745,995,266,
611,466,803,528,788,505,829,307,794,106,704,184,123,142,987,182,960,081,449,
886,706,901,634,388,059,643,536,035,834,096,643,224,045,963,140,107,749,434,
502,781,624,342,926,466,458,040,802,699,425,029,340,605,574,898,733,718,544,
938,239,761,122,264,823,030,064,528,644,314,180,758,656,739,534,488,653,193,
935,048,228,994,512,467,345,165,769,809,380,390,201,473,111,230,070,327,903,
542,292,895,156,747,529,779,014,228,176,942,886,606,013,711,550,034,469,189,
169,689,823,788,803,918,068,098,542,359,536,224,180,239,732,027,350,356,093,
310,621,973,599,109,384,185,878,431,392,094,153,749,545,722,279,748,402,856,
910,853,847,210,239,545,401,711,514,067,764,888,770,254,831,032,205,896,286,
107,108,382,375,920,825,182,293,925,186,892,027,560,571,879,521,032,775,772,
475,290,771,666,756,984,895,958,633,818,267,823,135,903,393,371,179,973,817,
314,178,488,394,229,020,916,146,804,981,261,767,492,391,925,493,478,711,458,
676,765,116,704,666,660,990,032,003,114,361,098,933,808,785,059,873,778,442,
666,972,406,772,862,948,265,354,844,217,096,761,531,701,814,440,318,786,601,
937,360,584,099,490,467,467,725,344,050,068,489,952,835,660,096,746,694,206,
120,398,937,884,265,975,792,464,236,338,512,002,455,403,594,467,603,321,455,
661,614,346,450,508,640,424,087,698,839,030,955,707,801,083,836,100,365,574,
221,639,306,276,707,272,675,870,578,208,788,209,789,254,636,201,245,521,168,
681,947,397,819,211,925,659,539,939,394,203,017,397,816,854,239,133,645,548,
340,183,278,017,417,509,141,148,814,714,250,630,145,211,125,123,078,162,571,
681,916,879,777,331,730,891,970,333,777,118,780,512,784,865,444,519,605,800,
142,892,784,836,776,139,430,347,968,187,123,514,125,699,627,193,029,458,582,
092,561,881,304,780,829,200,328,616,897,529,857,560,887,594,244,710,385,591,
518,768,152,350,811,605,547,647,934,425,945,806,850,894,840,675,510,268,456,
073,878,010,330,823,630,524,769,455,091,344,790,313,391,256,873,211,159,254,
427,452,563,475,738,653,824,390,701,948,036,350,817,041,953,725,564,897,912,
383,463,629,860,644,927,146,788,883,637,479,114,735,777,818,532,760,823,843,
094,641,632,574,528,759,885,110,148,227,266,634,863,770,179,258,641,243,869,
580,344,428,006,387,338,306,800,336,426,522,613,386,142,430,074,625,777,772,
538,105,199,514,602,058,037,227,790,463,445,805,976,642,887,755,584,485,539,
677,363,768,833,434,348,118,457,034,692,449,807,341,959,042,446,365,313,854,
912,093,330,756,486,560,707,678,003,275,940,220,763,688,307,416,862,551,052,
909,019,618,309,174,024,948,448,300,901,556,339,251,880,407,920,516,544,842,
330,239,068,707,442,158,650,477,509,464,801,220,174,682,788,007,983,297,836,
560,399,113,062,924,581,930,397,386,627,526,901,145,352,482,124,998,240,231,
804,099,201,034,685,355,950,294,981,232,477,249,098,055,212,662,484,619,220,
258,456,278,011,197,877,229,634,277,573,134,957,479,179,359,700,654,329,872,
565,845,402,591,962,632,825,061,033,965,225,907,351,421,814,004,382,227,859,
545,135,779,179,475,547,745,475,317,240,711,163,136,084,996,606,122,506,837,
617,804,229,826,123,563,145,335,412,045,025,569,336,454,334,985,634,224,665,
102,837,332,954,173,761,251,091,466,444,690,982,531,462,014,376,706,004,562,
938,877,658,447,841,791,645,018,847,670,781,246,750,187,667,699,719,887,383,
394,737,534,531,766,718,145,343,825,818,279,616,151,456,957,502,176,790,356,
819,215,647,971,945,035,351,950,920,162,417,908,775,563,739,220,443,497,772,
392,039,110,396,636,893,309,043,024,866,090,141,006,838,836,259,937,014,024,
576,783,091,452,537,774,707,292,708,874,721,876,322,619,872,061,938,637,922,
498,737,711,795,959,943,974,092,859,732,366,463,720,728,183,105,415,935,055,
197,849,000,130,372,620,712,825,659,213,466,224,025,850,115,279,723,482,466,
546,832,543,659,938,879,765,866,633,799,002,395,772,315,867,170,468,536,418,
625,935,517,412,195,533,693,112,733,145,510,450,278,863,803,616,295,448,453,
433,503,131,288,531,987,530,542,511,151,941,888,157,693,962,643,288,252,274,
792,690,977,901,643,651,290,472,946,518,932,158,560,075,288,572,463,342,026,
461,259,641,901,051,270,465,315,883,496,925,808,641,063,080,012,115,048,992,
949,180,210,017,742,864,348,105,187,440,391,633,011,245,921,907,780,852,064,
432,970,721,799,803,476,508,291,515,330,111,998,323,474,150,668,372,336,740,
226,653,649,507,391,154,320,499,390,966,741,239,154,575,110,838,568,389,056,
645,367,647,737,020,408,472,333,282,300,069,556,653,306,622,809,540,118,622,
972,526,762,964,998,333,286,057,539,799,004,079,297,615,724,355,634,751,603,
425,548,869,968,515,778,721,976,723,570,934,194,094,458,884,200,442,010,362,
713,000,830,874,762,110,677,319,351,188,505,157,257,115,055,328,677,482,574,
228,133,951,798,452,593,412,646,162,053,930,572,084,552,782,316,509,139,821,
712,888,445,697,778,439,724,866,766,395,890,510,910,853,831,282,501,506,731,
030,866,388,421,999,348,537,706,641,309,867,836,188,788,740,390,214,425,873,
855,272,477,021,121,758,593,749,341,939,313,036,485,779,360,603,187,647,177,
784,472,817,886,917,551,446,675,313,801,435,664,545,161,711,510,439,623,271,
495,304,742,287,666,510,696,882,991,467,009,460,268,486,703,471,888,481,228,
694,324,628,272,546,161,595,586,809,642,567,958,308,814,515,391,165,932,961,
411,569,243,947,246,931,037,854,699,478,056,273,655,063,368,759,308,522,915,
913,302,419,906,858,371,165,254,926,575,294,581,753,698,636,435,966,845,376,
464,673,455,471,623,783,942,702,551,269,271,660,526,945,057,796,891,779,505,
727,178,355,984,905,388,365,626,655,958,693,811,512,355,658,803,680,704,355,
421,848,065,726,355,772,709,660,894,267,767,821,327,803,529,774,078,227,702,
270,536,187,543,297,564,811,011,840,648,235,344,612,725,750,125,068,044,424,
280,403,384,513,520,289,403,266,721,922,911,414,174,181,224,135,630,041,381,
106,907,442,135,137,563,461,625,691,131,443,870,128,098,856,034,987,988,862,
271,017,200,304,627,159,716,564,109,478,258,863,441,465,837,030,737,704,376,
559,790,277,288,803,085,802,533,349,489,107,790,115,882,757,928,746,582,318,
537,050,730,332,086,776,667,608,863,931,160,658,168,864,024,205,561,945,488,
261,135,965,068,222,259,708,224,033,677,925,278,995,307,713,161,182,220,060,
732,225,316,761,697,622,244,974,574,204,761,228,270,512,545,833,673,756,859,
450,816,904,872,207,993,770,486,467,242,700,267,477,245,400,705,192,254,803,
393,472,476,719,192,291,777,061,373,309,465,742,935,355,919,835,702,709,793,
878,541,051,305,662,390,005,227,602,916,721,382,363,067,023,729,336,137,111,
806,647,929,998,555,578,410,051,576,681,771,722,888,365,610,653,982,724,312,
923,635,352,558,301,618,591,013,882,720,337,803,473,161,204,594,507,932,351,
816,004,243,430,303,123,546,784,600,466,945,180,223,460,813,325,758,965,159,
866,226,970,460,312,302,413,146,728,123,419,340,755,142,588,219,406,903,649,
120,960,006,090,048,443,604,622,483,041,005,493,536,260,542,866,848,535,764,
064,494,618,344,055,226,271,100,898,617,378,914,520,287,541,471,948,962,999,
378,656,336,939,319,399,794,767,695,612,632,546,231,791,447,576,136,993,141,
881,693,246,411,815,381,747,168,686,961,010,202,870,833,079,264,241,578,188,
761,769,082,024,895,995,232,147,478,100,588,189,754,254,944,201,563,805,224,
321,148,555,716,346,782,108,414,580,471,779,139,884,765,572,424,850,621,519,
428,253,239,794,182,892,165,558,369,253,501,398,194,856,949,053,667,169,977,
496,468,131,072,454,545,574,113,605,909,286,851,376,131,689,944,627,093,904,
164,933,672,229,414,147,116,449,534,331,108,434,618,941,098,208,451,698,171,
302,737,554,190,024,990,994,076,337,887,668,093,603,607,266,862,087,144,403,
706,344,828,200,011,086,937,285,741,372,236,944,504,272,523,247,883,129,941,
478,671,073,738,514,131,269,025,287,653,881,528,614,088,221,942,000,993,730,
104,938,325,248,027,465,188,288,547,906,171,847,076,386,453,950,458,205,534,
752,816,424,193,862,378,289,678,882,257,389,319,654,994,337,415,210,572,484,
608,240,033,928,727,295,417,564,925,304,978,202,352,015,118,504,156,253,260,
810,186,991,417,966,751,572,175,112,978,902,972,538,216,536,250,135,927,075,
545,643,549,389,487,076,331,559,512,174,536,209,769,760,475,704,264,691,471,
116,097,556,397,136,715,382,827,710,519,089,960,544,067,379,035,763,917,766,
074,573,701,117,263,877,381,428,767,242,315,000,779,842,406,965,542,402,300,
579,530,267,954,736,071,178,696,653,302,457,847,444,074,521,265,814,813,203,
388,798,396,487,958,656,735,754,632,636,853,409,550,360,839,613,234,983,434,
477,914,748,906,969,965,032,386,884,615,817,620,760,386,080,322,673,955,970,
326,474,219,972,869,007,510,151,560,041,301,881,540,300,278,964,641,444,411,
509,780,091,019,624,803,484,305,432,386,003,242,056,679,293,483,851,155,025,
335,597,147,770,076,762,058,185,312,201,210,836,331,063,658,145,184,814,894,
288,415,804,124,142,502,683,301,196,811,318,517,774,478,698,426,280,753,685,
692,015,134,686,857,201,847,564,255,056,463,492,274,103,116,330,436,332,559,
988,468,357,505,831,473,183,979,668,827,176,356,216,398,355,499,208,366,666,
011,229,472,312,269,369,555,039,875,275,237,974,503,703,139,045,370,276,628,
758,705,440,284,598,410,324,550,707,620,839,146,905,509,441,926,807,587,089,
099,792,706,639,684,382,558,303,196,304,617,038,624,614,521,985,654,060,358,
280,946,596,501,522,406,853,729,937,178,257,455,507,173,696,903,175,756,361,
502,352,161,632,972,469,408,633,308,493,353,417,003,928,008,246,755,773,599,
467,925,249,921,349,064,888,010,565,319,141,125,689,764,313,233,699,099,065,
432,021,494,780,044,263,367,087,757,654,739,404,631,705,755,227,900,101,712,
657,797,812,573,788,226,265,175,158,960,858,261,512,996,758,190,097,397,834,
397,546,386,874,529,527,648,297,668,054,751,592,563,168,058,869,112,770,379,
004,744,905,167,060,646,467,100,609,697,926,251,736,854,615,516,499,210,406,
530,737,940,981,894,138,316,501,673,840,044,764,180,293,121,969,496,045,361,
170,200,273,592,715,557,901,197,632,023,010,836,944,036,417,821,052,630,674,
303,501,286,156,157,529,673,685,555,405,320,859,274,795,920,272,442,170,752,
782,150,578,914,708,434,900,880,929,132,747,834,567,830,477,530,527,890,641,
717,942,423,508,854,924,442,164,175,907,148,557,660,202,646,778,498,594,733,
047,602,614,579,670,806,257,985,769,712,643,711,760,594,795,774,783,480,574,
087,895,797,422,187,474,014,631,186,932,881,721,519,624,537,192,967,418,279,
121,387,924,828,679,631,409,909,878,648,216,531,140,832,439,553,043,600,067,
115,379,946,172,384,934,167,142,920,499,785,368,104,399,986,564,402,822,016,
224,656,398,159,771,383,292,645,243,196,870,415,808,552,209,930,118,166,337,
984,415,001,178,371,310,756,171,536,030,845,630,687,667,756,874,674,824,288,
951,675,826,364,141,327,779,714,467,455,372,519,052,537,038,397,989,218,435,
288,898,793,608,892,134,221,621,228,577,543,872,055,049,864,510,153,486,427,
258,303,434,878,621,783,050,792,461,660,817,321,100,381,011,834,588,190,367,
829,871,286,560,505,251,425,495,582,998,353,996,651,949,104,256,044,972,796,
808,741,955,327,624,524,678,587,309,691,509,328,419,296,108,532,245,536,388,
367,148,749,288,373,250,924,674,356,655,206,769,710,647,727,230,361,462,278,
027,797,772,835,198,575,597,673,112,603,327,362,781,197,821,734,889,247,141,
474,323,090,914,359,552,229,068,331,047,456,148,456,400,575,251,288,830,755,
302,649,458,413,285,769,265,439,578,820,471,262,023,080,993,855,165,640,451,
079,798,861,102,342,222,218,704,166,612,443,778,120,139,086,913,358,985,094,
058,172,133,802,348,681,762,043,906,689,161,389,368,825,082,824,621,495,962,
382,752,705,695,673,840,417,254,289,590,251,746,198,031,702,973,799,815,155,
539,605,573,101,144,869,396,994,028,092,371,306,308,781,763,083,178,024,081,
473,494,751,032,232,964,306,345,816,510,655,166,720,323,998,619,400,325,007,
499,567,869,143,386,202,670,737,813,260,882,021,270,090,180,309,971,919,583,
261,039,148,968,308,167,128,698,957,284,576,682,406,019,468,038,132,721,978,
491,572,380,103,606,297,991,484,718,553,927,745,720,960,788,543,494,613,530,
871,762,889,670,294,168,475,083,720,479,257,435,929,198,592,418,470,222,771,
536,450,018,765,841,595,833,511,833,578,743,399,796,332,153,937,887,297,478,
110,406,078,038,427,011,775,879,844,459,843,622,081,241,382,562,988,440,850,
815,457,515,320,254,946,724,983,320,603,169,259,897,574,441,850,255,098,737,
650,334,121,202,088,325,725,466,026,830,763,589,067,825,050,334,275,683,021,
986,651,723,402,157,404,159,226,528,555,091,485,898,879,852,185,166,936,369,
555,476,162,938,257,984,387,258,600,464,555,709,709,006,679,116,861,099,343,
579,696,138,995,723,789,774,241,272,915,455,690,032,447,023,352,472,608,052,
359,141,325,870,962,825,181,372,685,398,629,532,002,941,482,437,473,792,887,
778,505,515,680,754,458,003,502,053,128,881,529,862,295,671,203,577,301,352,
583,127,602,590,395,868,232,300,653,768,976,881,726,655,636,420,832,346,376,
353,027,653,779,045,863,509,787,525,492,841,785,818,387,195,684,666,487,891,
152,245,823,305,746,192,532,401,162,264,707,978,790,648,676,289,775,843,955,
441,368,369,995,428,840,201,485,270,958,023,836,142,014,803,110,365,635,350,
963,749,052,203,460,045,331,538,457,311,584,854,802,064,654,027,460,672,107,
759,542,298,070,863,621,899,603,542,712,333,598,874,524,030,403,750,516,802,
902,404,634,213,625,122,504,400,710,472,131,821,293,222,835,721,190,523,470,
737,060,353,409,739,903,758,369,474,820,987,260,474,596,652,355,550,708,859,
532,106,285,659,089,044,613,192,183,094,313,586,045,814,700,862,777,001,245,
453,290,604,776,730,264,827,634,728,003,431,035,752,419,322,787,692,741,827,
867,859,952,591,734,831,004,604,800,816,878,814,283,852,457,225,469,796,210,
985,271,665,093,199,837,187,783,727,225,748,906,917,652,078,193,723,609,581,
036,555,334,144,656,098,570,256,628,700,750,772,869,769,396,869,702,119,473,
157,863,802,220,070,895,862,265,369,232,293,354,939,830,289,736,613,031,994,
930,295,212,726,669,354,870,266,423,268,682,587,839,853,926,604,239,512,758,
104,393,828,807,303,219,439,961,342,933,410,206,305,000,401,467,437,429,219,
918,240,816,983,810,093,982,700,767,057,645,910,203,005,912,183,448,549,683,
490,453,321,988,945,106,747,226,829,769,156,074,198,373,511,632,304,642,555,
994,849,372,321,702,763,558,250,351,199,897,512,846,757,308,636,977,635,971,
951,693,931,782,220,044,749,395,036,736,534,961,582,048,473,642,231,947,091,
843,016,587,451,164,120,126,901,544,095,449,021,919,056,670,282,116,522,197,
212,573,419,633,573,770,856,780,989,256,430,639,970,875,979,743,470,906,255,
134,050,008,487,155,745,781,570,955,342,662,301,716,087,752,219,396,848,648,
664,461,467,730,647,465,503,450,145,126,574,249,749,827,214,732,928,108,978,
908,508,134,703,484,572,250,714,568,193,743,539,865,405,773,641,614,172,044,
052,988,530,056,225,501,153,359,693,465,681,996,550,345,213,710,955,808,719,
854,880,367,695,802,300,898,866,293,429,533,625,491,557,460,352,615,021,305,
477,094,620,950,682,338,066,329,191,415,513,610,440,814,712,354,128,968,833,
338,068,072,260,018,060,207,962,935,192,294,742,320,244,510,089,796,671,296,
881,768,638,235,642,767,661,013,760,706,919,608,124,268,656,525,895,680,167,
797,220,384,881,098,715,121,322,580,637,620,447,387,705,060,763,349,990,628,
744,057,037,248,981,700,684,521,908,081,729,605,806,281,538,600,691,801,489,
845,324,606,245,676,381,779,775,662,091,515,044,306,343,592,959,510,580,738,
770,642,990,596,305,913,222,669,802,334,782,854,299,854,764,825,724,833,939,
772,677,286,033,219,834,311,224,249,793,792,694,710,406,003,425,189,890,790,
875,121,107,435,775,920,535,409,286,055,174,828,567,706,834,281,222,291,715,
445,760,625,692,592,547,528,860,047,964,858,952,670,065,993,554,439,823,301,
045,226,888,263,804,703,316,476,718,865,969,606,465,439,980,240,834,012,491,
846,862,625,119,254,181,872,581,231,338,590,484,284,496,050,778,088,676,130,
643,205,846,864,102,505,049,711,861,422,944,809,829,115,306,892,490,264,183,
528,521,210,790,686,154,275,981,858,526,111,926,150,823,304,336,300,554,297,
533,766,837,420,782,076,204,790,814,937,490,122,717,674,996,385,476,018,963,
417,238,470,534,006,529,495,152,264,067,306,539,702,351,796,731,686,814,964,
525,916,084,899,088,243,986,016,505,130,236,123,687,256,119,186,343,741,674,
657,412,954,479,618,604,134,557,482,997,266,456,542,240,460,354,218,653,094,
602,651,577,109,138,648,997,375,363,734,091,818,868,822,986,001,976,112,029,
256,041,713,826,724,678,328,977,927,920,796,282,229,524,520,249,322,748,671,
281,947,063,935,966,667,182,115,347,617,545,630,607,358,087,835,129,198,782,
061,511,099,516,776,672,159,872,456,464,450,343,619,260,023,430,250,033,441,
008,161,633,229,256,727,018,078,488,485,743,152,689,029,048,558,658,879,194,
998,093,701,353,654,589,567,969,680,916,777,110,936,368,920,845,034,182,724,
292,885,952,577,819,774,779,189,948,598,789,165,962,274,595,231,495,603,441,
484,211,120,126,329,196,814,532,663,766,561,172,789,937,115,577,680,586,231,
613,533,373,304,397,603,239,755,949,730,801,012,361,808,150,673,589,526,857,
653,103,363,724,706,794,068,578,217,103,638,312,947,039,843,222,510,545,911,
244,710,979,310,004,823,318,064,514,422,245,894,711,696,696,506,772,082,884,
303,350,067,658,733,253,704,149,843,279,151,832,617,634,581,921,293,095,587,
985,095,649,050,110,433,384,139,352,229,972,953,731,969,163,805,970,271,368,
596,904,499,066,105,003,454,091,004,745,416,537,405,415,408,794,459,889,224,
285,357,055,626,259,701,971,514,086,576,850,862,623,734,671,121,094,508,347,
930,718,591,479,404,360,049,573,981,517,715,405,333,683,718,314,516,503,569,
417,561,184,882,582,530,248,294,968,840,410,484,727,636,378,058,986,820,255,
653,003,124,218,969,773,252,992,152,391,058,098,026,767,975,800,787,186,541,
654,830,066,279,668,879,246,960,065,641,725,911,793,514,765,960,226,266,771,
886,265,413,587,494,373,112,776,056,789,310,649,038,788,478,377,731,293,397,
233,504,669,265,900,301,754,653,594,648,869,923,026,165,496,353,449,980,827,
473,770,075,730,368,987,065,707,696,981,730,464,677,432,810,434,485,417,791,
772,289,605,992,899,302,305,106,375,745,179,477,310,112,470,360,067,480,922,
703,363,844,194,682,048,022,846,646,836,883,124,092,949,869,971,051,724,083,
053,817,831,980,515,782,802,405,478,990,306,509,242,695,853,521,420,340,545,
184,801,865,847,432,404,661,326,821,676,217,455,408,105,819,154,790,725,308,
303,594,132,355,485,806,814,037,447,127,604,165,379,362,748,094,658,761,793,
968,324,661,014,662,304,337,551,798,350,778,502,422,184,427,790,610,438,188,
953,200,403,993,626,619,462,433,315,359,399,396,774,239,298,827,502,216,877,
425,247,580,713,241,318,961,519,210,118,356,712,749,439,547,860,611,055,824,
466,961,241,649,247,868,606,451,890,512,963,074,690,827,955,062,468,687,291,
422,058,148,307,963,344,445,640,303,586,205,195,119,842,173,516,652,759,747,
390,376,926,410,575,208,834,779,139,678,577,802,191,591,195,411,472,809,315,
517,392,934,176,807,820,220,993,770,748,159,565,968,653,211,132,619,593,369,
473,619,510,137,777,583,074,159,058,364,067,776,749,267,246,887,653,107,955,
006,130,415,798,156,143,692,043,308,234,671,626,436,431,758,210,509,048,839,
141,763,083,739,292,637,873,208,630,450,866,331,468,511,495,204,887,606,652,
559,101,256,323,609,319,438,028,731,830,315,883,805,887,970,807,515,645,201,
072,047,830,432,659,011,139,721,134,988,901,019,802,564,257,813,126,113,513,
437,505,863,765,958,696,806,816,334,635,796,043,056,246,584,526,800,040,040,
647,242,375,629,511,477,215,176,359,542,886,648,249,031,361,845,978,705,598,
715,226,276,554,808,081,513,252,834,779,672,549,705,737,516,878,087,588,931,
306,405,453,377,488,266,203,782,680,800,176,318,474,799,370,233,835,490,026,
061,772,048,975,422,888,414,072,914,588,739,101,697,346,600,362,043,566,113,
805,095,976,258,991,503,936,732,577,247,391,078,194,651,401,177,917,472,315,
322,963,432,583,713,836,192,180,751,297,952,953,427,416,260,746,505,127,756,
424,490,045,815,319,913,216,600,561,009,965,681,567,703,485,910,083,242,743,
561,417,576,661,701,053,560,526,494,313,148,622,775,357,177,439,757,066,365,
289,848,047,826,972,064,478,935,458,887,745,942,961,953,149,704,524,580,479,
368,166,786,534,910,502,904,925,058,901,404,382,156,237,689,309,619,271,111,
861,203,936,271,370,446,091,848,029,166,022,596,288,109,025,755,556,015,374,
213,996,875,879,701,952,186,227,970,828,114,767,162,215,286,587,324,485,278,
893,765,345,558,271,882,086,273,415,407,296,230,940,767,278,854,753,060,557,
991,510,354,772,478,294,568,885,056,711,099,279,662,496,572,670,456,595,981,
670,690,794,976,060,840,709,472,569,642,358,238,378,676,520,177,758,209,106,
793,331,603,374,635,754,868,496,237,552,638,353,145,225,422,304,870,240,871,
485,914,584,168,844,001,348,238,435,142,135,062,774,795,478,057,175,191,304,
497,142,400,570,568,451,306,075,941,528,309,604,656,737,209,497,543,195,364,
698,043,207,570,568,465,702,767,793,190,749,099,417,749,691,309,071,501,867,
521,073,616,158,443,283,494,963,562,088,058,688,859,015,889,758,700,595,196,
062,489,883,562,220,792,210,335,773,802,657,107,241,548,022,659,813,611,732,
902,368,189,852,444,845,114,325,622,613,312,222,113,186,114,947,992,362,136,
048,253,770,379,852,440,637,386,008,011,127,912,727,029,790,752,228,733,571,
251,013,855,604,929,063,519,152,029,098,128,810,513,391,493,607,543,283,272,
586,694,576,348,538,907,760,714,211,310,760,822,857,451,320,576,968,081,585,
756,245,891,404,555,527,506,455,759,106,093,121,760,537,849,055,849,592,163,
875,481,825,091,003,106,133,915,244,149,156,144,825,760,420,144,182,042,842,
857,564,407,684,329,674,476,358,592,020,885,940,115,509,372,363,763,359,243,
026,467,463,076,504,490,890,968,626,259,949,863,548,567,927,105,550,719,645,
257,525,129,412,517,033,455,765,665,063,592,059,814,718,604,292,507,856,923,
813,784,354,815,428,266,084,409,489,588,226,190,035,906,811,645,055,517,165,
686,271,669,151,714,413,733,441,819,574,688,450,787,045,908,544,278,620,810,
586,375,255,507,151,660,766,511,545,822,421,680,141,521,865,403,812,757,634,
266,817,989,458,475,203,509,567,067,622,381,278,385,124,131,605,978,028,111,
992,652,251,657,059,746,205,194,602,108,327,488,518,525,593,537,425,058,317,
913,995,559,127,534,481,077,030,559,685,241,843,410,617,588,849,080,704,107,
651,317,908,656,625,921,684,728,289,364,035,349,768,653,639,864,201,036,457,
848,889,658,792,319,328,442,297,941,915,611,721,699,058,853,849,826,675,159,
902,782,553,239,433,318,501,461,515,858,109,672,497,781,880,879,862,011,617,
629,968,580,054,853,952,108,868,429,846,521,490,474,334,920,834,541,109,386,
783,237,718,714,955,624,937,539,808,426,640,823,561,005,755,632,108,661,568,
229,754,511,266,855,948,690,598,363,328,693,085,521,617,918,932,860,284,956,
261,480,176,253,537,842,417,467,478,188,667,273,493,089,497,144,367,790,466,
773,686,993,005,968,331,853,684,202,848,813,977,776,103,399,471,806,728,204,
707,180,824,365,285,418,467,142,830,503,595,655,177,007,867,780,514,871,391,
400,278,494,399,660,152,915,962,010,913,628,072,547,563,953,467,840,869,673,
556,838,567,050,845,856,113,545,244,267,327,958,088,878,581,807,869,356,775,
262,222,316,128,182,596,919,809,754,677,774,224,462,672,160,398,070,836,326,
354,343,368,297,320,333,046,761,437,621,740,034,186,315,779,734,141,307,113,
098,012,121,586,614,514,976,299,906,182,110,392,064,648,844,405,908,666,195,
407,761,864,159,654,717,795,561,278,443,756,780,949,662,856,852,484,862,864,
022,924,687,137,886,561,677,400,619,934,256,655,512,468,395,671,939,951,854,
991,570,541,268,601,495,619,628,263,777,628,732,107,718,089,209,639,572,448,
238,826,821,430,581,259,255,446,032,731,074,095,673,500,358,573,390,860,611,
785,502,669,380,817,691,964,366,421,957,431,091,834,154,358,985,517,265,084,
631,624,921,175,131,556,276,907,027,441,629,168,669,627,783,027,935,079,195,
392,780,335,817,806,191,078,175,924,114,917,314,892,836,155,630,608,487,821,
978,145,246,883,013,572,276,695,338,461,187,492,586,429,918,484,412,493,645,
766,063,700,960,638,685,775,119,074,836,529,663,407,681,315,180,860,615,029,
919,718,607,539,182,430,245,653,616,471,859,088,167,267,333,333,402,432,998,
148,667,349,449,010,404,812,740,388,412,512,180,026,431,290,815,964,902,981,
840,206,011,156,742,295,964,813,966,131,712,040,598,792,401,539,944,281,614,
032,969,770,521,000,768,579,151,164,989,297,673,301,796,095,007,240,571,181,
404,116,523,911,527,293,751,772,018,939,114,357,712,081,578,390,996,721,345,
812,525,879,260,000,280,029,780,908,895,266,639,157,779,957,067,065,097,765,
951,366,708,436,074,654,007,344,154,326,170,755,706,385,626,790,992,926,072,
833,824,817,845,133,125,894,298,073,030,621,133,990,533,093,642,473,397,825,
187,314,317,083,448,677,892,556,132,395,242,115,906,187,669,934,527,493,498,
851,561,097,034,012,390,782,037,481,837,134,779,044,951,537,689,364,540,028,
455,916,119,757,400,154,002,952,874,025,346,543,199,451,015,280,308,600,380,
512,951,041,761,226,307,704,852,734,218,605,517,876,764,550,941,693,491,478,
300,690,203,810,172,509,556,746,714,995,615,131,353,467,628,743,668,739,702,
244,972,491,483,849,456,355,154,723,889,402,013,773,378,245,158,192,607,106,
117,311,014,443,076,724,539,347,655,628,595,427,819,908,405,292,551,898,489,
087,425,750,797,171,788,172,709,780,999,304,926,477,003,170,515,587,230,532,
484,353,396,821,740,310,727,262,744,087,508,622,996,606,126,079,911,207,880,
460,658,384,160,399,638,196,421,473,083,287,528,527,252,034,389,251,149,948,
459,261,618,925,798,608,937,888,174,120,081,536,644,786,003,260,843,641,082,
084,738,182,835,869,235,335,162,605,743,168,942,372,937,777,405,866,670,224,
057,279,394,133,633,260,934,665,381,572,977,798,386,033,467,450,318,499,758,
948,530,539,432,815,690,827,866,055,038,293,449,700,915,708,530,958,958,416,
711,162,012,606,783,129,460,914,356,102,437,346,931,127,637,062,475,760,675,
065,833,273,684,867,974,310,549,017,094,936,056,150,278,151,372,778,775,528,
861,041,784,129,251,858,673,057,636,114,231,112,236,080,206,272,778,453,173,
319,109,963,771,116,586,042,147,154,633,649,900,325,847,382,822,449,892,435,
942,350,149,719,994,394,602,466,620,659,749,180,374,140,121,063,643,522,426,
361,367,808,223,806,721,300,740,307,441,107,795,416,203,710,082,746,154,447,
560,930,429,015,784,774,214,558,826,882,596,829,454,887,398,968,350,391,570,
164,324,411,406,003,213,642,738,537,028,357,367,717,449,334,297,316,563,948,
093,472,082,282,617,954,798,733,705,611,895,451,147,831,440,983,036,300,686,
809,695,332,034,233,203,815,185,511,289,339,558,987,504,574,933,434,756,385,
358,146,730,277,824,094,005,131,076,252,891,190,750,857,283,465,833,371,680,
269,179,970,263,738,227,501,516,350,469,089,086,143,332,442,431,312,428,243,
096,579,986,642,951,367,590,024,351,602,565,160,590,796,215,066,621,573,609,
295,137,731,978,566,363,526,481,679,741,440,790,013,091,624,194,332,188,767,
048,509,062,436,409,797,295,166,521,485,926,088,591,797,714,901,473,332,554,
337,748,313,193,689,127,818,167,818,183,637,658,378,248,143,454,201,951,828,
740,506,858,569,803,564,249,158,921,916,414,608,862,964,420,518,258,968,017,
106,341,274,268,940,466,538,591,169,114,257,234,255,274,882,533,648,942,645,
630,169,142,653,848,766,626,029,247,824,705,827,788,033,510,606,860,189,473,
356,876,708,207,433,742,392,599,797,367,585,106,496,719,400,425,824,987,096,
760,678,961,435,762,718,964,074,495,955,426,363,548,572,084,688,842,192,859,
698,152,027,429,341,336,216,765,288,624,689,470,183,327,581,052,960,515,614,
888,529,810,524,986,204,294,329,512,254,836,598,753,161,876,524,841,228,588,
924,897,738,482,157,378,677,898,941,464,111,147,648,302,561,024,123,435,349,
949,013,180,818,379,927,226,353,054,884,283,359,034,705,818,960,440,250,568,
072,411,255,321,529,436,088,144,673,306,108,169,321,786,646,387,250,184,866,
780,771,082,903,257,224,214,429,600,728,333,468,021,265,743,125,948,846,954,
552,643,612,925,036,545,042,285,679,973,931,474,829,864,334,092,652,285,086,
273,068,443,810,837,761,452,954,546,012,783,627,815,309,488,599,417,480,451,
850,399,208,810,456,410,289,013,631,825,012,987,212,496,987,793,718,725,940,
947,293,249,337,951,566,828,810,890,144,548,388,245,045,834,400,879,623,796,
396,487,525,082,464,312,895,131,579,472,753,406,086,474,157,566,873,775,552,
363,607,496,812,994,676,299,196,437,026,370,058,920,636,401,474,858,867,991,
143,309,667,501,576,208,661,245,288,479,601,445,641,295,025,275,737,509,472,
732,071,532,004,134,060,442,388,103,739,266,674,040,103,930,524,370,106,427,
390,846,620,974,098,331,123,187,577,638,078,627,398,885,413,570,115,606,444,
233,826,282,315,000,815,243,743,524,217,337,975,966,254,946,080,571,989,916,
965,511,782,810,426,630,443,740,297,626,288,057,142,759,958,629,891,723,167,
140,129,723,997,160,316,158,920,809,401,297,146,662,091,066,413,879,573,276,
686,982,585,318,611,446,777,178,237,933,644,785,261,238,848,735,371,817,658,
903,469,555,019,840,626,151,686,593,016,094,374,578,434,113,521,586,055,051,
182,554,672,292,631,598,467,979,341,300,276,695,929,146,357,142,632,893,947,
721,756,584,328,453,475,200,976,567,666,348,961,426,320,874,355,851,221,223,
120,293,985,269,445,840,767,423,202,826,809,749,936,714,231,373,119,498,544,
195,749,911,042,092,790,738,538,373,008,497,190,232,765,153,701,719,848,872,
587,106,915,500,902,681,469,390,683,424,160,914,238,015,209,771,041,759,499,
367,793,761,104,200,666,240,031,955,296,176,684,276,843,593,769,523,537,968,
741,185,861,783,069,834,394,284,301,128,910,533,402,242,082,631,266,832,583,
012,991,147,858,170,463,441,560,840,267,280,965,641,110,007,969,930,258,788,
861,367,846,858,270,641,554,546,122,506,957,757,913,940,614,270,857,986,701,
438,738,739,993,074,796,574,377,387,919,489,535,939,613,211,627,280,605,840,
416,004,058,945,081,025,502,387,049,291,946,177,373,183,947,574,803,176,022,
283,282,333,126,535,101,539,265,038,361,642,519,857,156,595,299,380,729,280,
963,398,628,273,569,924,718,402,558,483,357,463,550,583,183,290,181,899,570,
467,945,305,295,077,111,812,468,904,944,991,575,538,476,841,202,106,859,632,
571,245,898,034,624,657,434,531,011,001,007,675,658,402,583,396,085,908,587,
944,243,105,111,621,901,536,253,803,643,963,776,952,754,410,507,103,632,438,
173,871,035,004,523,295,704,758,819,235,522,409,112,771,671,528,581,163,442,
135,998,709,297,228,037,453,067,729,399,360,851,640,151,495,962,326,932,017,
331,325,943,845,012,302,382,396,091,056,061,511,666,641,798,674,956,255,808,
911,936,879,706,665,399,372,766,716,712,913,135,181,781,412,843,246,832,778,
399,184,316,815,011,151,387,526,369,962,316,925,091,753,511,260,160,821,560,
229,177,121,005,253,731,214,962,404,001,261,816,046,699,962,051,594,514,776,
194,726,878,623,873,460,891,684,070,146,707,887,014,393,587,558,621,154,822,
406,851,527,917,751,840,561,230,115,605,414,018,520,941,678,299,050,523,296,
638,333,197,959,564,355,337,536,981,333,296,705,587,059,009,968,886,821,781,
030,986,676,720,834,167,421,909,640,282,890,691,365,513,318,618,371,792,933,
124,067,160,631,768,829,487,872,836,776,163,625,494,966,191,159,914,072,419,
426,785,440,194,273,094,031,118,813,898,312,576,886,178,870,695,255,723,922,
770,151,061,344,268,894,268,190,273,815,653,852,661,346,408,636,538,532,866,
945,505,661,962,270,285,227,823,374,159,115,749,724,545,644,496,185,761,958,
659,543,285,416,000,201,660,854,857,968,148,595,634,046,842,679,275,033,270,
201,229,574,883,530,131,184,969,587,435,992,397,065,866,452,163,480,068,480,
718,049,049,100,005,650,718,778,837,424,482,600,813,258,946,292,295,015,240,
665,296,290,356,922,661,038,876,689,927,649,876,046,088,807,181,148,787,030,
171,941,760,748,644,729,405,635,763,252,762,800,023,338,701,079,722,534,454,
479,446,243,866,735,382,453,553,667,241,342,659,296,562,428,879,507,956,467,
854,686,618,702,500,244,457,080,288,198,345,039,922,691,175,484,845,435,801,
410,581,140,213,004,300,530,178,095,617,542,143,795,782,848,054,067,654,006,
006,618,262,563,523,914,221,367,418,232,664,317,975,386,562,469,106,873,554,
628,652,098,668,680,804,402,667,982,858,508,254,968,411,746,712,052,723,433,
264,348,060,978,001,847,779,709,517,079,292,047,088,686,168,138,158,255,195,
388,524,484,542,331,766,376,784,854,515,724,115,316,885,012,009,816,140,315,
659,820,882,504,109,292,078,050,146,620,464,636,591,014,052,047,880,011,621,
316,348,485,970,541,010,001,558,549,985,213,191,092,955,703,697,434,739,052,
274,281,397,450,253,175,305,829,949,455,224,801,321,706,567,751,491,366,460,
410,706,385,951,262,008,694,757,267,460,227,341,931,320,289,727,896,225,327,
749,267,933,607,096,844,047,213,671,324,136,048,431,483,395,199,688,736,959,
313,211,761,557,743,312,569,423,869,965,449,442,127,656,860,319,037,333,764,
501,610,489,960,809,657,494,756,827,420,446,500,207,086,404,639,904,800,578,
764,791,499,860,095,025,063,253,731,397,053,168,391,524,845,716,149,869,505,
768,210,639,367,086,859,936,861,313,908,053,106,349,902,526,279,155,437,768,
664,177,441,778,986,616,873,556,530,989,961,127,384,262,385,201,438,526,373,
694,113,871,329,375,854,595,294,138,578,940,434,989,892,903,406,892,160,514,
028,041,511,144,064,776,328,331,497,943,799,512,658,548,319,844,200,796,701,
836,559,252,329,565,346,536,941,490,167,789,341,533,587,311,349,373,520,153,
403,272,746,029,988,063,581,331,610,857,671,237,626,216,914,194,005,883,964,
975,712,889,311,342,548,041,891,341,017,443,464,212,558,443,776,048,519,511,
078,471,214,959,135,961,464,990,103,910,216,803,996,567,225,142,994,930,529,
916,580,237,658,507,662,056,755,101,466,684,338,860,641,259,191,438,740,540,
470,990,647,197,379,888,918,597,174,379,990,027,661,350,514,186,286,243,480,
374,009,737,111,575,518,109,392,167,952,707,225,584,237,956,478,520,354,890,
962,857,139,630,670,730,239,178,150,096,699,737,251,824,121,870,059,247,731,
496,632,939,782,507,413,446,513,012,656,147,224,130,161,205,946,619,111,594,
618,475,593,851,983,882,508,816,493,401,739,796,062,587,911,792,079,010,768,
151,547,136,232,396,792,586,655,361,216,108,635,805,078,435,012,783,078,656,
829,150,030,054,985,789,702,342,990,080,420,667,763,827,214,071,493,358,149,
771,459,720,618,096,409,614,062,676,175,003,641,298,378,732,357,059,514,538,
304,845,008,642,715,604,781,872,325,571,182,658,353,892,220,888,035,792,529,
678,266,519,078,798,287,246,971,917,584,325,986,818,211,468,157,276,558,552,
294,716,256,240,209,642,542,408,323,408,703,716,257,893,884,063,774,809,318,
605,464,146,642,005,501,149,405,481,737,515,337,406,040,115,616,133,211,075,
713,298,311,501,571,616,447,036,473,773,382,321,582,425,635,052,235,232,123,
752,328,540,046,287,417,130,509,614,936,498,694,872,640,720,793,130,138,779,
362,532,709,646,664,958,627,347,259,579,033,937,924,712,912,858,219,029,764,
576,106,155,771,941,801,406,852,543,891,614,288,030,588,961,337,307,941,277,
734,948,359,901,094,694,823,274,240,848,374,208,354,304,357,407,694,931,797,
002,584,130,974,825,914,329,084,346,469,947,999,842,631,146,703,947,697,250,
358,676,650,615,568,554,916,540,340,347,879,206,570,288,058,058,932,201,710,
719,288,708,299,268,761,288,564,002,902,453,473,446,622,358,436,257,730,565,
807,381,299,966,703,003,941,438,336,639,972,229,412,609,713,375,530,459,957,
992,926,103,303,750,525,115,651,669,061,559,862,017,392,220,498,112,976,046,
349,283,239,653,026,849,401,785,980,334,452,202,503,113,756,146,647,099,155,
160,233,719,445,839,057,396,372,602,656,277,085,171,788,111,599,250,546,363,
323,292,624,948,498,173,825,953,663,115,636,653,976,340,957,283,685,329,767,
888,315,282,932,232,549,887,981,565,588,990,880,420,176,341,673,925,437,316,
314,209,552,978,187,769,933,602,263,424,336,954,067,992,225,733,973,594,343,
781,352,787,660,074,952,727,828,590,034,344,449,050,298,889,155,721,611,114,
370,743,127,683,251,698,882,773,775,077,356,141,398,561,658,915,419,076,323,
403,744,274,271,667,566,476,503,802,803,182,997,718,800,972,818,988,833,384,
038,663,404,059,313,196,184,112,136,324,943,319,023,179,310,754,292,350,976,
165,485,952,554,514,437,434,879,188,469,026,786,656,198,502,599,930,945,609,
384,156,723,667,536,676,054,811,568,148,679,076,989,951,999,775,186,643,243,
564,109,139,462,198,909,760,667,517,220,677,257,722,892,537,102,613,289,639,
120,199,364,784,666,954,382,017,527,435,757,532,021,401,599,838,755,498,103,
407,073,364,921,391,306,115,409,989,180,428,461,182,154,747,743,634,677,418,
417,817,250,879,564,690,812,879,535,673,358,140,118,323,684,463,893,894,705,
979,816,666,269,706,206,812,095,756,825,889,592,796,248,372,568,434,478,915,
936,360,205,995,697,218,948,158,402,373,296,030,075,942,378,999,745,286,850,
493,259,763,883,289,906,784,497,447,299,925,766,198,876,774,870,946,605,525,
533,135,497,228,189,203,977,753,499,580,133,789,591,962,688,661,089,157,633,
434,467,151,009,209,919,890,447,906,104,538,685,306,221,175,996,746,860,030,
947,485,659,986,574,927,363,002,439,855,025,763,157,774,629,374,037,906,021,
938,352,838,363,372,502,053,107,445,642,317,277,355,165,156,817,310,435,516,
110,809,257,824,726,201,460,290,033,531,575,621,923,048,545,218,019,534,625,
729,671,576,171,587,456,015,924,994,042,486,304,572,602,898,049,478,015,159,
727,542,687,857,077,390,036,580,954,297,613,117,492,369,342,006,031,631,848,
858,893,956,282,461,202,695,003,243,627,791,643,219,242,626,496,243,253,692,
935,582,568,348,945,675,504,361,728,400,567,211,791,220,716,327,763,147,591,
376,864,719,171,820,586,241,655,828,082,343,836,685,606,902,864,794,864,557,
899,126,744,980,604,360,779,513,609,241,493,434,871,602,111,676,316,697,148,
258,560,062,505,966,326,401,198,486,097,237,328,239,999,972,075,048,103,908,
700,713,679,468,312,097,774,026,361,164,069,859,017,812,781,687,567,532,324,
037,334,255,111,522,141,401,330,925,356,882,832,051,189,397,793,214,850,049,
792,212,402,709,885,657,116,783,705,485,914,403,015,013,595,088,882,193,358,
081,852,384,527,874,002,607,798,954,624,662,335,764,304,558,594,644,210,650,
183,507,329,353,118,046,054,437,918,310,486,962,325,648,917,642,044,232,149,
397,870,367,253,402,628,002,241,957,000,585,048,209,985,383,937,807,893,060,
645,350,945,654,364,702,780,235,474,272,241,515,181,126,838,865,571,622,058,
873,288,808,536,628,572,948,984,536,019,746,831,441,682,845,217,986,480,271,
359,542,442,685,814,836,265,521,735,415,428,582,873,600,751,546,613,659,650,
103,147,054,261,853,902,432,582,128,229,028,954,086,897,236,430,936,685,654,
076,212,780,168,520,864,212,528,578,016,241,374,305,875,406,532,152,980,579,
677,076,868,283,803,726,581,873,966,943,840,439,055,111,083,212,798,935,865,
899,998,628,505,899,520,450,805,422,726,538,550,116,543,840,863,022,790,829,
918,281,000,000,004,239,796,909,912,930,398,964,412,670,599,291,207,632,883,
571,892,196,076,217,023,451,929,718,765,096,715,975,124,087,095,359,790,819,
733,792,657,413,611,587,618,450,062,237,726,189,946,017,906,501,301,011,347,
751,613,081,334,258,843,128,143,124,257,096,398,184,943,301,152,136,524,799,
430,646,828,169,269,557,537,330,180,741,815,114,616,878,655,517,288,167,746,
914,679,295,724,940,094,986,377,789,447,687,218,315,166,750,951,423,449,083,
622,349,437,378,123,590,881,273,740,954,511,469,476,409,749,779,150,038,735,
115,781,675,035,566,179,094,534,347,004,468,851,080,281,273,776,197,783,626,
681,015,632,598,280,132,137,102,719,536,844,636,514,152,541,590,401,720,401,
759,482,162,170,845,926,922,591,067,882,630,454,675,783,944,048,923,819,307,
295,560,465,922,881,529,898,904,792,803,825,276,246,618,718,308,640,352,036,
566,478,796,883,076,437,873,034,086,765,818,794,363,615,655,825,565,952,956,
629,845,232,178,537,544,096,134,141,205,478,513,170,886,745,826,661,958,977,
698,111,430,527,024,014,279,793,225,851,333,510,265,817,114,885,888,148,585,
698,590,495,362,251,862,138,080,000,260,106,077,524,128,787,565,177,954,077,
250,165,500,550,577,678,029,502,824,112,904,217,128,900,083,559,482,018,322,
368,356,530,058,731,800,844,450,201,194,494,090,502,726,096,298,204,880,943,
738,314,878,031,992,455,648,882,796,265,291,092,209,251,863,189,238,193,801,
733,426,851,070,653,748,077,411,452,624,033,920,292,451,399,660,308,354,775,
002,252,609,990,574,829,129,276,716,610,599,498,653,928,030,840,240,805,729,
645,268,602,424,647,558,784,096,495,607,505,423,401,649,176,781,393,971,739,
536,989,339,029,115,632,705,651,446,340,085,108,040,543,306,895,112,381,388,
412,309,209,925,425,534,407,953,834,992,598,091,529,329,249,768,819,714,146,
134,678,217,172,393,262,653,449,354,117,802,359,194,879,329,062,632,755,324,
766,675,901,130,790,549,524,755,883,969,382,388,739,850,103,744,898,886,986,
243,653,122,008,284,846,397,303,606,911,848,570,333,399,887,759,364,951,267,
848,923,587,561,577,853,938,765,779,143,758,421,923,262,775,826,384,267,986,
586,188,800,379,223,394,435,198,410,259,406,472,524,419,326,495,170,422,309,
334,949,602,850,874,841,968,078,798,912,100,794,235,482,023,900,896,715,514,
716,888,839,177,114,180,866,418,050,928,967,954,791,507,033,560,809,785,992,
932,047,093,547,335,945,974,675,738,535,221,138,017,189,189,557,989,261,503,
977,084,931,643,546,215,520,276,162,202,847,725,418,558,264,828,296,702,534,
673,693,133,651,175,215,830,247,111,052,646,194,092,233,497,027,248,173,295,
741,028,266,227,256,367,449,612,873,277,283,576,462,256,337,545,849,287,152,
098,318,486,268,472,855,145,149,847,915,701,704,491,849,547,477,206,447,456,
591,638,554,710,883,506,594,161,797,198,460,153,931,462,340,261,292,688,106,
335,990,249,068,367,555,902,701,411,064,607,092,231,773,736,461,419,567,900,
342,247,280,921,420,685,742,636,109,490,684,763,526,860,195,663,099,357,094,
528,536,490,378,559,019,856,560,551,434,142,199,203,515,308,151,711,574,909,
216,284,132,188,124,658,718,706,996,560,790,381,382,580,757,525,570,623,225,
739,300,686,826,908,248,926,274,406,902,073,213,901,488,724,062,210,131,188,
525,131,492,446,859,108,045,875,275,328,714,684,038,589,528,128,048,035,159,
321,219,213,945,202,842,430,949,437,153,272,872,612,050,347,981,223,179,742,
009,819,281,706,687,485,204,702,321,183,081,374,611,327,651,257,483,853,985,
693,052,317,619,810,410,600,586,994,848,670,293,059,090,104,939,392,965,340,
892,779,818,913,233,790,355,967,902,885,871,177,087,398,198,999,863,834,387,
863,063,281,135,497,494,768,193,394,955,720,704,495,896,545,673,004,624,253,
635,458,209,849,535,122,024,746,631,293,913,823,790,322,856,883,590,462,879,
034,728,173,653,532,964,063,057,591,615,095,152,699,213,982,308,304,997,772,
300,961,395,205,750,352,836,268,307,338,714,384,961,794,540,283,626,158,487,
877,290,456,330,406,037,568,110,192,544,175,284,518,387,748,385,308,754,992,
797,417,525,266,058,343,231,364,092,541,349,543,355,479,053,769,278,649,966,
483,753,913,560,881,909,473,417,579,929,037,892,752,550,933,970,136,747,259,
461,013,793,884,139,804,523,304,029,271,978,082,866,135,866,774,968,135,971,
820,532,291,990,008,901,149,074,901,345,872,338,311,607,479,490,023,362,859,
263,905,077,818,048,926,005,318,420,635,457,132,000,593,096,569,420,905,338,
852,547,773,745,486,316,433,328,810,895,069,099,438,502,842,113,455,018,208,
016,421,493,989,028,839,735,418,390,275,623,245,173,231,361,225,732,020,385,
128,119,339,158,302,082,971,990,099,448,871,609,323,814,175,701,887,662,992,
276,783,210,989,629,419,419,188,137,161,316,277,239,464,390,193,876,527,156,
122,260,311,143,132,679,795,993,986,178,571,724,887,391,981,873,821,300,380,
372,122,920,627,380,404,662,657,179,864,419,462,087,657,974,016,101,929,695,
307,019,158,475,599,654,429,500,668,356,508,934,155,666,356,446,738,243,900,
538,734,455,681,899,715,648,574,468,514,455,300,992,263,062,475,274,109,033,
795,110,938,601,412,999,226,022,684,951,886,359,721,803,541,706,121,834,159,
451,980,876,303,660,719,920,467,508,629,333,393,677,244,327,632,854,410,477,
809,172,687,609,763,969,427,914,395,621,966,973,579,531,514,696,976,399,602,
601,638,815,399,078,547,490,121,012,442,521,904,896,491,400,735,808,389,707,
433,183,431,338,076,631,049,653,103,185,300,551,823,861,259,100,506,042,300,
767,765,766,465,844,851,466,828,796,307,955,950,735,766,860,946,280,669,499,
318,551,439,099,054,390,884,700,783,420,368,383,099,171,283,382,219,078,928,
983,933,335,216,642,901,701,467,099,714,059,874,715,517,807,465,223,406,951,
172,629,310,520,471,768,946,546,104,855,451,510,072,715,718,670,637,002,634,
028,560,597,498,784,284,790,147,303,324,531,598,889,334,916,676,760,428,162,
342,290,692,806,427,121,016,236,182,615,733,961,167,120,106,487,666,969,579,
949,958,837,668,359,026,943,827,724,016,711,393,316,413,017,073,403,874,015,
521,478,960,546,344,556,781,390,197,954,637,948,475,607,747,390,319,617,723,
242,453,156,471,419,391,190,229,501,718,751,246,777,881,070,303,546,141,350,
111,814,664,105,223,951,764,342,018,050,919,322,056,841,379,295,197,177,163,
573,768,768,927,769,732,535,594,426,991,556,743,480,250,737,583,512,104,575,
373,956,523,521,736,186,168,746,612,745,900,168,561,588,561,382,848,151,113,
395,241,765,557,152,080,699,961,542,673,204,630,240,613,524,382,229,894,632,
363,882,700,204,313,518,082,236,855,352,917,483,519,776,981,299,828,052,972,
948,269,220,890,840,047,135,174,740,835,647,834,447,775,798,646,142,665,739,
954,021,761,743,192,482,181,694,917,607,467,761,486,626,535,838,707,214,562,
341,641,055,386,938,484,278,216,263,191,340,877,170,802,319,916,820,085,751,
348,821,151,386,843,651,013,675,952,115,149,636,328,376,786,083,561,966,860,
808,324,660,028,758,506,199,522,815,500,821,146,223,694,259,687,992,511,379,
906,050,028,390,805,146,899,414,317,229,023,468,860,234,346,148,425,628,844,
376,279,758,622,216,779,667,536,608,486,275,232,118,276,024,264,442,346,970,
375,753,932,972,376,837,991,388,378,504,383,955,891,044,613,953,245,496,021,
521,402,554,098,636,826,852,361,617,590,242,441,150,702,218,467,786,188,059,
953,562,464,167,237,839,655,164,681,441,697,374,116,297,023,933,012,757,882,
601,591,985,590,762,674,600,706,988,026,378,166,602,608,359,223,870,157,837,
747,753,376,625,548,557,220,372,824,400,994,251,232,171,317,518,664,482,818,
373,414,947,308,164,180,762,984,488,316,382,792,804,672,036,342,636,976,467,
363,118,124,914,438,351,709,267,861,114,086,058,642,134,889,428,625,435,197,
128,583,443,681,499,041,276,106,230,273,092,022,685,064,436,180,847,697,652,
807,698,753,547,054,327,802,322,146,285,589,118,296,995,897,961,605,536,560,
402,581,913,044,704,121,345,829,503,293,553,950,094,684,079,557,033,232,593,
688,071,770,010,724,168,486,328,911,504,143,102,844,480,707,649,720,437,982,
883,764,638,934,704,314,092,179,116,831,484,539,754,103,958,765,665,958,384,
743,122,463,271,748,872,695,086,392,127,457,282,272,265,123,874,265,545,072,
469,512,616,723,406,654,625,858,194,334,388,296,738,176,784,407,059,578,587,
661,221,418,888,448,300,694,186,711,252,064,318,036,244,586,662,617,825,456,
952,307,155,749,590,396,492,853,097,835,757,820,019,047,326,548,129,375,511,
412,945,534,284,709,800,669,142,926,980,200,549,634,211,434,397,810,498,507,
213,577,672,014,444,411,487,374,379,340,113,928,417,449,304,920,078,226,404,
929,153,679,899,691,528,063,740,577,992,825,829,293,767,497,774,986,376,497,
481,406,019,365,378,111,896,109,205,844,330,754,567,512,635,490,825,548,545,
889,640,202,010,450,644,255,385,405,978,972,185,651,447,443,832,580,755,218,
138,861,678,849,436,192,614,829,863,544,638,304,422,766,410,271,067,359,964,
881,166,410,939,082,043,701,288,224,325,990,279,896,885,303,098,617,644,068,
708,386,397,585,713,135,977,264,402,471,428,489,556,608,748,973,144,531,402,
864,882,907,660,438,436,356,287,782,384,489,713,216,028,163,154,277,664,988,
526,166,424,925,942,074,490,277,376,005,643,575,181,351,818,247,660,871,870,
618,594,369,355,964,036,026,387,457,896,045,347,922,409,964,251,768,277,783,
373,262,968,535,633,287,534,796,084,042,275,243,819,120,703,400,788,569,954,
924,261,522,585,033,475,579,976,472,358,838,256,904,255,008,992,483,096,245,
295,932,132,931,515,618,054,040,582,359,679,039,797,332,787,403,403,047,603,
731,290,022,914,601,264,834,405,712,742,956,646,711,035,677,318,938,076,827,
695,275,111,374,584,559,875,450,560,742,785,721,688,685,191,279,058,110,702,
700,685,822,586,106,401,292,162,062,702,685,363,425,381,785,331,025,392,760,
748,688,161,827,797,033,591,087,527,087,393,456,376,357,488,328,614,452,124,
629,959,481,892,532,216,296,675,540,661,587,698,697,809,515,963,867,133,965,
271,745,716,420,451,311,703,534,476,230,463,063,230,508,762,991,388,212,294,
155,868,654,614,418,869,319,991,812,092,647,515,898,804,676,057,122,320,729,
990,257,959,259,771,589,991,555,873,797,799,122,344,865,796,907,466,167,739,
050,287,014,584,222,109,730,337,125,324,628,294,049,509,557,072,211,252,743,
497,932,921,937,677,228,506,240,257,528,094,901,166,566,501,823,763,793,730,
561,046,270,393,258,183,158,465,719,309,061,347,711,037,775,906,000,393,780,
230,194,128,394,938,611,421,001,464,937,512,187,623,043,304,670,328,457,304,
266,331,211,592,743,787,896,512,292,978,334,618,289,257,748,597,163,797,333,
825,232,230,170,865,563,552,025,188,028,865,441,032,884,455,318,697,840,690,
693,068,242,664,098,477,166,323,818,596,654,702,363,023,423,057,299,972,182,
371,072,022,016,710,808,576,735,854,068,783,047,038,226,838,056,052,730,417,
366,353,580,748,247,508,973,657,369,555,987,438,713,131,038,170,319,745,535,
853,486,590,542,767,346,601,918,578,586,805,789,166,922,674,103,405,826,409,
601,059,547,338,043,843,629,183,380,668,388,936,082,353,398,466,237,003,977,
731,843,393,853,886,157,937,221,928,592,125,387,749,064,788,232,374,918,231,
236,743,052,893,271,862,376,593,648,017,348,052,931,852,990,847,484,196,395,
346,286,086,477,571,974,409,169,613,918,194,450,598,313,186,858,746,802,502,
685,102,205,361,148,792,709,521,339,160,307,919,422,175,099,259,676,865,139,
423,802,030,096,659,715,886,564,975,806,096,455,149,965,564,507,744,189,107,
705,418,182,146,143,282,186,020,751,267,687,638,698,333,239,061,428,678,916,
705,574,491,395,633,360,718,164,509,819,117,650,694,022,022,777,923,482,652,
750,471,325,051,412,560,363,627,852,127,387,196,389,842,223,319,842,465,564,
433,843,140,984,966,647,580,013,889,133,588,744,133,034,911,855,651,355,050,
419,879,120,414,917,603,233,040,852,523,129,545,173,388,746,817,061,633,629,
888,808,001,556,576,925,604,464,776,981,266,522,274,465,242,443,119,302,564,
472,916,763,708,479,036,698,012,846,860,875,536,767,638,554,169,423,009,956,
437,221,692,834,684,717,209,874,434,550,751,868,404,966,685,464,545,719,527,
002,037,961,964,607,376,743,191,524,340,754,626,679,403,020,440,068,922,667,
393,204,220,116,468,917,866,585,997,825,021,063,003,482,115,460,090,091,004,
420,365,506,243,385,162,703,568,067,572,452,582,175,553,813,015,374,639,978,
219,688,068,030,420,308,837,067,986,640,079,490,258,623,253,992,220,980,505,
958,974,901,257,242,270,098,355,512,232,472,352,200,181,055,656,357,397,501,
348,621,067,102,407,439,434,894,168,655,022,901,903,669,995,165,007,227,537,
812,661,758,479,590,459,605,008,186,014,267,563,169,891,700,151,459,511,778,
322,862,476,049,010,012,571,531,267,759,367,731,992,597,167,600,900,868,522,
129,526,991,529,875,445,805,807,692,835,980,137,063,374,266,202,450,389,041,
980,663,020,655,158,107,194,792,311,425,537,854,846,988,629,419,896,592,214,
426,416,793,391,323,423,042,887,067,212,052,687,951,788,403,684,306,229,552,
813,045,978,126,179,106,132,762,294,186,183,544,572,972,148,199,067,195,991,
912,646,383,442,693,371,001,026,018,050,560,516,561,563,908,452,958,238,055,
188,394,257,247,149,707,324,798,109,221,500,142,121,088,329,705,767,946,551,
073,269,251,447,570,792,543,398,967,083,776,338,974,617,023,305,290,747,387,
615,122,891,042,550,344,541,625,869,559,528,677,742,608,010,074,044,435,565,
949,109,394,876,110,148,195,079,605,316,653,984,219,966,112,277,750,682,746,
724,519,208,704,265,830,455,820,265,226,174,263,382,113,385,113,656,151,826,
827,121,752,387,574,381,524,221,560,580,450,084,145,145,399,326,335,446,145,
187,378,146,727,941,995,680,162,433,658,734,875,781,094,459,017,158,297,320,
173,402,409,049,112,739,966,009,330,621,044,135,230,597,247,668,623,731,882,
562,845,462,299,719,458,072,216,082,454,758,376,967,943,581,577,647,375,553,
008,430,784,504,649,286,322,096,246,140,308,280,577,560,742,540,307,623,164,
769,304,393,273,258,508,205,601,961,954,520,137,683,610,923,779,588,221,539,
251,471,448,702,473,014,226,537,901,168,849,223,719,586,964,874,259,006,830,
226,576,512,969,136,236,774,479,920,013,769,281,030,764,917,151,138,569,732,
464,196,902,499,476,995,743,747,066,670,458,445,052,225,663,675,933,171,142,
568,275,634,496,419,275,325,909,425,017,280,256,210,044,514,878,033,309,146,
619,686,811,191,007,354,392,373,778,669,165,565,969,135,543,068,424,894,040,
243,723,672,406,280,145,089,559,180,967,411,773,805,752,622,441,042,621,070,
560,485,695,728,408,354,685,664,827,394,137,461,022,800,474,558,654,163,089,
275,869,399,134,566,741,375,386,557,948,279,228,657,071,797,808,865,371,606,
328,811,641,469,963,864,261,298,536,948,405,299,489,885,775,055,164,991,985,
469,220,845,852,795,575,789,701,526,812,716,711,257,394,744,227,273,447,206,
715,435,667,071,087,249,268,826,987,145,868,557,015,530,664,239,700,154,218,
182,620,718,361,269,285,544,016,860,435,825,913,785,688,175,674,125,894,019,
655,451,114,840,895,087,859,259,424,514,801,576,179,833,014,124,752,002,096,
826,955,738,277,049,568,447,624,757,587,631,619,676,755,937,988,529,327,285,
374,016,560,274,534,215,271,316,737,036,125,176,968,551,047,183,684,430,952,
322,755,445,794,373,466,878,169,254,251,054,176,751,703,867,175,991,445,211,
298,059,652,196,780,259,544,842,437,584,164,089,353,602,952,539,304,155,191,
405,482,086,644,523,785,848,433,160,189,487,869,346,091,545,451,633,684,933,
110,541,887,443,461,460,548,634,585,538,258,296,211,535,851,452,371,808,821,
016,724,147,837,546,158,588,541,287,293,194,733,918,824,558,844,296,506,328,
065,357,929,764,306,216,954,033,860,627,166,679,240,658,937,788,361,095,959,
084,278,057,585,312,044,671,275,948,087,194,950,082,752,441,360,975,919,960,
259,687,679,673,129,184,045,717,231,951,976,476,213,721,498,005,013,787,590,
014,128,501,908,235,758,875,890,905,619,332,400,019,205,926,258,302,815,472,
042,041,398,552,249,638,750,511,487,461,437,280,169,849,851,278,725,049,532,
428,558,121,029,974,664,084,454,454,873,996,955,550,551,110,049,478,808,748,
367,512,221,315,712,589,427,372,422,954,452,587,287,583,555,835,656,754,401,
202,212,997,955,892,441,859,650,724,436,301,340,052,051,368,280,122,524,664,
725,339,940,643,113,301,585,310,634,308,663,738,803,594,991,290,341,747,159,
006,320,378,369,924,048,895,278,863,170,897,023,021,413,378,074,768,993,470,
974,405,223,580,986,290,492,677,536,179,056,166,766,615,269,253,838,317,215,
940,186,832,115,952,941,846,396,124,862,653,650,327,487,628,263,619,809,314,
132,134,611,799,071,962,021,186,842,102,614,385,964,342,544,132,819,857,773,
153,637,239,356,164,174,962,459,024,334,093,106,914,503,968,539,878,528,010,
657,195,804,638,434,507,767,260,525,705,082,465,773,668,463,227,213,862,009,
609,041,896,285,186,319,769,257,806,064,372,555,310,365,654,403,066,473,791,
287,562,440,285,380,590,285,125,594,755,336,938,660,900,160,378,253,225,517,
398,133,004,227,812,679,067,338,138,290,375,551,972,952,877,946,244,749,482,
729,214,612,048,261,124,982,285,161,561,096,480,042,795,510,037,788,109,933,
425,150,849,260,644,317,378,492,328,996,340,655,679,272,625,190,953,107,975,
325,716,559,374,129,120,715,515,325,470,916,490,899,681,397,944,248,683,405,
893,369,383,325,903,377,102,562,739,384,799,851,363,376,188,517,491,156,808,
880,376,425,606,605,011,562,038,382,078,362,317,996,895,707,832,801,608,692,
251,057,075,946,842,791,738,810,617,189,312,529,896,877,342,718,649,853,642,
550,204,568,583,334,713,039,013,483,508,959,097,859,217,411,949,031,512,033,
099,747,980,574,398,113,898,068,916,673,771,216,319,459,511,196,457,791,662,
197,044,361,276,724,416,665,250,016,418,954,651,088,010,832,972,951,640,735,
191,146,279,481,599,115,563,865,503,045,014,399,811,368,105,727,063,247,893,
846,674,520,193,541,779,163,803,546,728,720,053,846,671,098,477,907,687,922,
874,860,415,863,896,964,414,743,304,545,926,945,830,885,239,102,547,293,559,
973,161,169,083,582,135,827,239,253,045,282,651,955,203,155,099,251,423,698,
494,943,796,593,107,108,381,327,668,612,166,749,072,211,479,549,204,836,684,
705,804,962,558,205,512,855,175,840,738,056,229,322,948,831,587,657,778,722,
939,543,145,876,140,141,310,942,058,710,042,605,714,244,577,522,562,952,212,
450,969,536,404,828,711,271,472,646,778,605,489,175,003,852,545,923,336,302,
319,949,648,911,029,187,375,904,318,568,802,780,198,087,589,631,371,710,282,
388,098,230,302,318,465,054,678,202,493,742,928,402,098,307,100,357,608,603,
317,106,594,139,718,557,371,007,616,030,826,562,988,900,321,680,013,677,764,
821,489,922,985,592,373,173,148,209,506,302,789,442,069,653,330,668,641,916,
492,479,150,650,550,159,853,703,556,018,580,908,600,395,218,031,040,243,313,
497,938,469,650,147,288,370,369,462,788,381,297,819,695,971,595,337,989,304,
398,298,878,114,972,370,684,176,945,933,646,420,525,013,361,257,345,582,707,
495,602,366,247,452,990,834,595,036,186,118,006,203,512,620,037,977,298,094,
909,587,435,745,916,336,282,873,136,515,703,861,656,192,735,167,793,779,185,
679,793,039,882,303,965,449,293,361,174,000,357,697,196,524,130,424,915,533,
673,770,262,778,874,566,831,093,467,704,826,078,391,332,600,030,673,397,506,
799,508,971,886,941,018,180,143,352,851,181,515,140,731,539,942,089,493,885,
694,769,204,279,859,262,622,888,591,010,572,712,120,116,324,795,586,930,041,
410,819,053,737,329,340,481,489,856,568,890,489,352,529,019,684,862,066,027,
672,230,315,456,255,357,341,560,469,851,993,543,943,771,134,588,419,975,432,
778,841,908,149,394,554,699,795,074,679,534,197,281,041,645,447,481,650,074,
761,870,114,471,443,932,416,806,282,266,658,943,428,294,674,699,022,238,325,
497,251,528,063,746,833,784,124,090,869,391,355,619,886,232,765,633,402,922,
968,519,280,121,526,736,128,566,003,044,330,763,487,455,583,816,009,009,718,
307,747,865,981,435,405,504,765,974,762,205,774,085,567,499,615,086,040,375,
470,137,748,075,902,140,143,080,940,688,240,457,325,731,274,342,346,389,196,
665,571,213,257,035,788,423,275,397,905,789,975,839,324,853,380,821,836,413,
035,712,974,769,023,713,892,683,739,422,520,663,331,036,003,368,118,949,088,
878,941,535,316,191,207,112,857,568,979,519,927,797,188,176,116,245,032,594,
744,030,797,710,335,088,446,858,683,948,810,507,190,541,168,747,991,136,473,
294,272,611,164,476,481,074,079,297,621,486,159,127,412,897,763,422,187,781,
982,428,370,275,897,070,108,950,420,010,020,974,266,955,223,147,026,746,473,
917,070,686,474,005,366,044,518,554,636,155,368,233,942,387,771,329,439,473,
751,257,856,888,106,666,802,054,690,045,185,381,172,467,567,161,207,668,913,
996,985,566,812,449,559,419,972,668,986,461,245,549,058,969,287,378,056,003,
962,271,962,799,248,388,793,929,162,770,491,145,671,217,149,047,282,628,247,
575,245,021,846,814,854,342,013,268,244,996,225,084,880,060,711,025,665,539,
644,342,402,181,750,632,242,493,969,153,775,972,884,197,387,936,774,699,774,
908,705,663,442,096,432,834,041,793,274,934,780,657,975,926,915,139,339,836,
148,408,497,086,320,191,998,880,476,583,153,255,075,548,544,364,956,084,991,
269,710,766,068,114,629,880,676,958,837,406,120,457,958,587,399,297,133,308,
053,330,641,115,072,741,846,695,650,560,545,677,376,036,560,263,181,288,660,
311,763,897,837,918,042,416,875,937,401,488,544,602,536,335,657,726,989,523,
015,552,042,497,819,042,168,445,950,170,183,023,421,929,389,733,869,608,788,
409,420,188,091,493,593,753,935,700,265,913,996,879,735,211,479,759,281,803,
638,448,049,813,585,317,388,293,071,921,968,450,393,509,574,254,635,589,729,
468,691,522,909,072,716,738,849,273,452,238,586,734,930,247,484,872,423,276,
930,438,926,148,946,893,488,369,680,203,496,087,968,860,221,888,355,273,892,
176,794,630,658,788,278,471,469,296,258,345,484,883,807,137,595,183,203,324,
659,752,891,999,553,292,125,559,384,786,540,261,974,579,269,292,182,124,859,
541,463,251,677,045,388,655,826,988,567,719,286,648,050,383,608,616,673,426,
101,795,415,171,565,070,667,468,368,391,532,283,712,819,757,975,833,896,242,
954,003,442,130,561,082,007,435,838,162,629,467,804,309,277,708,294,078,641,
067,411,400,935,287,702,680,062,830,673,395,672,632,408,219,410,253,565,151,
758,193,235,387,506,908,082,318,691,986,264,566,391,387,520,551,719,436,389,
806,588,066,740,808,133,577,208,062,836,069,987,602,327,747,127,781,249,185,
232,071,500,202,049,988,909,938,899,835,478,872,372,395,511,647,828,900,556,
489,971,629,652,959,599,266,395,475,421,126,868,698,171,572,956,775,073,936,
554,454,512,398,571,278,472,527,372,317,155,413,197,972,498,858,853,222,180,
408,852,074,052,683,481,407,433,463,592,025,238,418,061,793,789,788,724,765,
896,766,211,059,884,001,218,673,355,304,029,063,238,967,475,290,702,034,429,
227,632,618,398,107,961,384,231,534,425,757,139,033,262,573,200,140,832,710,
464,885,251,115,741,468,063,184,736,856,506,401,257,190,774,254,257,034,522,
584,350,685,571,583,875,209,312,287,732,327,001,696,509,078,510,948,239,383,
760,011,463,634,283,570,897,788,006,252,634,216,188,604,886,415,808,790,975,
378,938,223,509,598,067,886,190,162,711,037,338,881,855,669,531,380,346,780,
170,342,275,631,269,088,575,383,503,729,114,843,811,717,297,313,417,388,540,
854,834,112,177,914,742,135,745,967,553,021,808,738,712,076,865,598,678,402,
309,858,781,120,409,362,650,002,329,887,242,612,190,160,487,466,133,770,146,
968,151,477,188,536,549,130,231,213,830,915,941,073,702,983,628,477,335,754,
695,103,519,309,011,767,649,506,553,903,758,377,685,925,144,344,350,058,828,
993,515,645,186,954,153,138,488,929,698,412,652,505,561,871,292,831,885,047,
233,903,562,881,383,034,830,389,549,365,764,929,965,170,495,789,380,213,798,
431,190,638,987,218,748,040,610,103,143,834,065,578,931,351,131,753,183,669,
081,291,992,382,926,741,454,046,309,292,711,307,331,778,736,234,863,806,551,
863,015,943,699,401,175,689,851,127,963,474,193,876,645,010,734,889,801,064,
215,131,734,423,851,380,325,384,508,614,216,950,461,981,263,444,154,660,556,
067,305,378,811,031,734,649,372,476,307,621,610,455,876,734,725,665,929,077,
498,334,046,241,067,049,468,337,731,030,801,349,269,522,668,686,013,716,324,
723,460,657,972,867,395,056,697,457,502,570,592,758,520,630,260,943,091,658,
619,564,964,792,675,709,354,193,105,956,949,482,059,943,795,654,682,178,620,
467,539,651,360,781,025,032,417,482,308,335,118,461,541,924,110,236,001,749,
847,270,151,533,945,982,210,711,402,383,582,999,370,769,827,761,987,336,814,
846,317,269,246,561,707,708,516,117,532,693,112,400,259,509,726,730,963,879,
240,531,324,272,146,176,279,947,373,041,283,869,384,636,076,808,083,561,313,
483,629,814,344,693,888,219,755,823,711,426,905,155,360,557,554,820,536,699,
812,358,239,859,055,118,645,196,397,698,264,282,410,644,897,589,719,400,130,
029,423,961,412,305,810,157,846,315,494,382,383,587,539,305,542,480,423,414,
178,238,118,305,267,488,016,446,025,448,937,044,493,600,122,977,280,487,937,
582,325,030,828,774,751,383,549,388,722,269,500,252,096,155,148,047,029,928,
375,134,952,506,218,912,456,920,853,026,418,261,922,696,417,577,397,949,493,
361,961,711,534,714,521,931,622,939,014,853,820,489,884,529,374,261,523,554,
174,697,443,810,711,010,152,914,579,649,103,260,818,994,078,540,414,350,448,
352,626,412,288,594,914,423,384,195,938,074,590,384,876,093,894,575,693,477,
658,620,715,208,597,440,248,199,215,390,862,909,420,864,219,948,984,348,962,
269,275,662,974,555,312,253,331,709,742,208,598,326,298,325,128,654,079,754,
551,258,347,621,175,673,010,181,143,525,206,097,605,882,654,686,180,277,308,
325,520,101,492,779,085,252,396,745,361,164,066,094,784,416,721,678,188,622,
135,893,918,102,657,173,805,622,877,815,721,444,645,057,746,175,273,771,680,
253,841,596,399,585,304,157,185,219,037,557,720,096,723,539,538,026,698,316,
897,229,882,653,184,675,310,337,062,819,215,040,648,583,224,944,146,666,623,
454,015,955,066,891,717,694,708,788,851,509,576,675,846,726,890,429,720,221,
415,611,932,728,716,535,172,850,962,815,981,562,527,003,293,149,614,047,727,
916,961,292,854,176,637,541,846,674,490,154,664,492,718,756,573,190,837,746,
193,078,136,204,593,734,091,358,009,457,340,277,985,122,323,167,705,022,995,
518,972,555,655,535,349,000,283,941,274,377,092,286,094,196,446,938,378,500,
496,950,663,844,408,944,055,247,142,063,103,811,085,818,073,593,052,887,675,
482,847,407,097,222,370,532,631,925,378,123,277,873,366,824,732,996,848,904,
391,091,655,683,932,051,611,175,665,640,426,332,870,287,121,097,760,909,184,
500,496,897,051,168,873,208,259,575,837,153,272,630,003,160,368,473,626,439,
322,959,417,909,339,614,168,760,203,299,547,246,429,125,706,541,487,216,128,
939,938,154,323,938,070,810,313,588,983,310,640,154,581,627,614,968,034,518,
888,347,571,245,972,296,633,107,342,713,130,851,942,383,243,653,528,367,438,
968,288,785,553,559,858,973,058,918,070,945,152,004,337,151,831,007,509,137,
233,143,773,772,395,259,406,913,726,570,967,079,679,290,963,054,433,622,723,
980,600,576,285,191,244,466,009,888,648,150,542,418,811,021,711,620,922,323,
739,779,720,012,841,432,774,702,757,229,822,341,109,964,438,467,337,680,194,
513,037,728,663,611,700,754,158,543,865,099,093,985,540,680,610,134,745,217,
851,621,948,122,808,001,500,460,085,145,318,017,878,638,212,139,472,546,503,
202,463,629,419,397,729,159,317,267,813,613,112,201,779,461,250,742,173,932,
083,828,196,064,760,768,519,626,252,387,401,885,592,068,167,235,705,292,453,
392,952,145,786,759,303,299,122,961,104,271,410,327,942,372,890,397,213,314,
516,039,567,382,697,768,036,628,561,042,547,441,757,869,850,773,282,670,072,
190,586,617,936,863,883,794,027,059,389,151,078,857,487,426,895,976,855,909,
600,573,446,620,168,699,944,430,562,753,306,973,794,953,396,723,674,184,458,
891,440,358,179,707,029,915,331,534,603,139,916,424,739,982,581,972,750,092,
199,517,771,123,032,953,819,795,154,308,287,747,353,006,238,473,179,751,226,
656,194,074,580,033,266,528,049,963,969,684,216,493,521,168,873,906,025,848,
779,117,492,101,440,736,292,878,415,035,093,228,884,365,489,076,391,298,863,
213,320,058,223,452,174,986,789,424,898,911,769,723,396,676,530,639,031,650,
499,019,347,410,007,914,018,378,657,588,284,182,882,833,055,293,544,905,066,
856,002,208,816,033,941,527,451,324,152,901,835,848,997,865,584,644,534,579,
970,777,234,146,690,196,360,705,817,540,019,221,442,874,223,211,077,200,610,
680,164,953,071,604,044,428,440,143,451,656,372,600,488,514,556,888,745,763,
707,295,074,762,844,076,724,857,113,342,468,409,558,504,230,282,115,219,480,
628,011,444,309,618,413,460,975,063,732,780,226,692,712,755,392,821,507,935,
077,702,807,520,981,315,102,713,750,378,303,041,945,172,428,342,517,255,585,
235,219,001,269,344,223,318,263,640,547,761,178,533,034,286,158,217,086,175,
615,245,131,457,838,954,976,660,157,551,587,610,891,238,743,974,281,726,165,
201,382,680,316,012,214,692,623,802,376,806,337,347,786,723,050,620,770,110,
188,512,402,375,656,079,935,960,491,144,019,520,266,443,031,406,763,035,759,
078,066,850,647,309,906,630,200,796,935,414,114,066,740,687,808,222,140,999,
383,888,254,191,220,402,658,402,058,839,888,904,459,916,061,215,773,304,149,
962,475,831,446,468,191,037,695,616,722,463,854,278,671,701,486,036,072,619,
292,693,998,185,967,395,093,796,825,600,914,572,991,585,030,135,922,981,623,
192,511,029,567,239,580,512,531,589,332,083,762,967,033,044,647,404,568,393,
661,195,594,520,533,186,456,447,002,481,182,926,321,227,332,157,414,749,383,
895,401,690,188,966,265,001,801,602,701,552,633,676,617,907,487,787,699,518,
837,553,713,349,083,708,613,843,025,019,943,997,559,152,487,204,446,806,667,
546,292,488,068,080,543,785,040,952,393,563,962,587,348,436,349,696,038,896,
302,787,599,552,178,792,261,509,173,047,779,626,322,809,879,214,757,075,773,
436,217,332,266,470,463,493,039,290,484,813,720,690,838,312,000,382,784,627,
510,405,831,664,177,327,578,575,736,542,616,321,991,877,942,325,470,877,421,
077,230,915,311,316,933,795,553,446,906,761,827,153,293,924,862,817,477,719,
323,154,842,758,036,561,822,464,055,945,762,077,078,293,947,479,705,382,350,
183,779,450,652,209,637,847,024,669,120,218,218,680,232,606,286,776,925,602,
868,424,788,124,757,374,663,670,862,089,979,419,812,329,361,262,756,088,617,
638,286,131,291,643,002,584,097,777,040,661,899,802,797,359,276,211,506,943,
954,832,674,516,219,516,082,028,599,134,935,065,216,353,405,669,312,522,555,
936,590,148,491,836,771,811,497,123,134,149,348,700,142,890,028,053,966,056,
265,435,062,752,705,854,295,275,443,227,376,184,362,947,202,822,311,762,751,
440,892,848,894,699,168,573,938,213,749,010,523,681,389,549,852,227,740,879,
740,691,735,158,541,638,736,029,243,652,246,521,696,337,448,747,596,878,591,
132,403,775,445,089,977,269,394,076,068,032,104,540,064,258,707,856,911,999,
837,861,854,352,987,192,857,306,181,665,587,402,938,839,084,905,474,192,552,
777,930,574,117,451,160,599,869,802,135,289,539,659,633,643,978,997,095,889,
857,497,512,494,896,015,944,617,984,461,078,121,367,660,664,969,153,998,920,
379,180,558,189,383,704,887,949,604,442,977,840,677,974,853,451,571,420,082,
711,084,006,655,724,395,873,392,771,036,261,606,659,334,640,030,933,011,584,
597,559,960,054,918,963,676,566,011,015,421,950,620,662,293,118,269,103,303,
787,538,732,987,702,785,325,045,274,645,495,054,846,733,368,784,409,796,351,
011,906,834,396,603,843,912,891,058,011,683,659,041,578,242,748,304,298,541,
410,830,525,788,356,886,261,073,438,413,803,516,598,232,054,231,653,152,631,
007,900,333,094,770,532,516,249,599,476,603,629,039,916,834,490,152,672,032,
140,633,588,634,151,020,701,089,773,757,037,392,593,318,753,907,013,332,801,
577,364,175,559,830,756,173,976,603,708,593,366,926,876,483,957,638,985,381,
953,921,478,788,221,705,578,141,316,797,651,365,681,464,196,910,575,044,549,
053,027,521,101,080,223,293,110,392,388,092,914,944,677,031,190,127,766,277,
555,205,397,537,750,077,691,305,364,354,540,704,547,105,981,545,927,564,372,
103,635,863,466,745,369,989,341,786,510,716,972,085,258,834,139,693,863,704,
177,875,507,650,817,354,800,682,471,427,169,358,905,831,406,803,556,457,238,
171,894,028,232,776,053,385,325,907,377,118,756,263,471,508,253,597,860,227,
807,677,493,818,623,432,964,372,380,964,982,470,613,769,901,548,538,236,462,
966,404,111,124,999,335,511,888,764,065,216,074,247,440,842,124,107,503,058,
218,200,522,424,134,216,210,098,895,718,636,499,187,918,139,743,509,599,660,
908,627,488,924,013,720,805,360,436,251,375,639,485,571,859,297,720,228,859,
404,306,080,394,535,767,746,635,981,301,194,329,879,897,465,452,226,293,673,
057,446,103,118,888,897,221,601,398,154,662,139,823,091,330,772,282,206,162,
081,892,376,854,244,879,399,328,776,633,872,153,581,813,632,613,796,947,217,
945,508,291,273,456,736,095,269,710,177,154,622,647,248,285,454,350,460,872,
193,211,192,883,210,730,409,199,890,687,015,072,740,028,004,220,487,224,595,
122,836,087,526,703,124,003,760,783,556,657,039,794,116,611,572,403,007,853,
164,591,207,141,842,446,022,093,453,610,313,237,707,928,899,222,122,637,780,
082,042,551,795,440,395,248,357,576,671,426,606,232,671,325,985,659,350,050,
915,930,230,754,886,737,085,554,437,608,597,174,361,785,006,717,544,726,559,
179,151,420,155,470,913,354,207,025,721,359,169,305,849,176,583,601,323,603,
657,651,285,444,257,181,542,789,160,650,297,925,458,297,551,544,361,669,307,
730,391,653,809,347,639,350,725,225,384,069,376,679,678,800,623,255,725,711,
035,700,401,093,396,695,629,491,794,622,499,758,278,518,981,943,245,977,710,
269,023,178,827,217,735,745,841,915,767,511,689,505,122,805,337,443,735,434,
773,931,198,120,876,362,808,978,698,508,566,954,822,511,754,464,132,889,567,
321,685,996,924,947,295,161,529,292,540,856,563,820,209,906,942,555,407,703,
884,723,090,753,925,123,700,099,702,858,111,628,622,986,895,859,353,430,819,
409,389,940,929,259,806,777,164,072,714,701,580,922,870,707,570,935,018,503,
651,623,774,812,273,049,361,912,927,052,067,544,619,049,955,777,224,734,184,
997,462,720,184,068,367,755,205,562,536,159,822,277,262,064,431,438,583,057,
835,483,879,379,003,810,799,753,987,678,269,004,470,796,123,329,150,874,400,
214,869,012,478,673,244,312,998,543,193,802,689,754,358,268,617,718,813,574,
637,132,237,627,900,870,393,401,161,375,598,750,260,893,002,414,803,225,993,
795,957,077,132,170,582,531,688,243,231,872,232,166,207,531,378,748,831,759,
746,527,474,358,297,729,531,941,240,744,220,579,154,369,063,585,872,746,110,
698,044,149,116,601,723,099,927,880,946,474,706,320,993,956,605,491,820,153,
962,950,267,222,504,053,842,444,994,498,247,475,619,947,822,694,638,827,009,
687,241,157,965,348,618,279,196,662,301,629,368,039,969,070,764,888,819,711,
227,782,009,378,967,967,932,999,039,460,827,144,814,473,814,858,315,383,363,
053,087,657,110,357,055,582,704,488,890,080,461,534,657,296,174,162,566,295,
399,921,533,143,172,594,414,102,626,711,001,137,571,709,943,519,340,913,268,
017,259,183,486,538,250,663,412,894,118,196,024,814,649,607,366,279,657,754,
276,113,571,379,369,634,558,590,270,776,854,553,258,510,567,680,457,477,265,
780,274,477,220,922,396,029,410,561,133,156,353,510,692,419,934,839,107,514,
779,276,854,278,603,387,255,910,630,800,498,842,040,793,216,129,484,937,560,
396,366,304,198,543,669,477,553,725,594,369,617,847,149,977,146,027,769,150,
826,919,410,606,454,741,008,357,828,848,288,458,867,792,673,122,373,773,412,
782,821,131,574,263,026,166,822,814,114,184,257,583,550,835,371,442,563,250,
064,209,697,985,369,234,020,981,297,736,027,490,388,249,693,752,477,345,099,
933,808,633,719,251,834,633,960,452,990,162,457,475,497,936,104,499,655,496,
684,403,084,167,746,886,321,142,675,137,653,627,221,312,295,903,456,334,579,
744,475,999,096,285,935,961,537,529,233,903,925,009,081,977,593,432,775,128,
875,384,925,972,522,578,632,476,304,065,427,508,963,955,531,667,281,764,863,
000,032,223,046,238,340,688,328,349,526,992,716,699,776,731,628,585,101,888,
085,271,224,069,445,233,700,900,436,995,866,300,116,122,220,495,623,636,223,
470,556,245,587,535,929,560,366,093,485,546,442,466,781,350,406,549,837,847,
698,186,656,656,479,030,636,612,302,074,365,154,351,193,702,551,277,364,279,
047,583,421,470,340,738,056,722,359,400,038,109,062,436,307,541,938,175,952,
752,443,326,086,749,671,951,177,516,996,784,941,503,230,756,511,142,419,753,
851,711,800,264,622,734,002,885,265,141,960,624,254,030,618,380,481,781,292,
369,105,811,627,810,587,749,894,446,052,982,379,601,737,772,107,293,983,481,
771,768,064,522,186,289,128,939,967,985,904,616,527,755,297,104,012,579,631,
927,209,908,785,416,661,926,259,008,567,577,557,724,431,506,301,619,548,883,
206,709,036,834,323,875,611,875,279,869,110,028,283,712,683,920,818,805,711,
050,994,917,856,990,999,183,202,410,710,753,434,421,268,669,841,741,499,413,
433,139,265,011,375,842,238,164,371,666,659,394,196,029,708,096,206,712,202,
293,611,926,317,440,785,853,766,957,183,799,254,109,486,673,450,263,645,294,
405,006,153,082,634,677,329,596,028,517,964,825,587,813,676,671,380,870,162,
441,065,437,503,040,057,858,139,953,369,310,228,849,253,251,359,028,873,524,
492,213,376,542,322,390,442,889,077,473,466,256,240,283,134,446,490,077,895,
063,207,438,542,937,422,718,162,068,579,530,155,559,192,482,891,351,777,268,
259,382,023,812,339,037,148,118,402,866,564,828,472,152,544,940,908,491,834,
330,938,878,962,477,937,162,012,815,994,988,222,901,141,639,731,822,176,342,
288,336,182,493,302,858,552,334,927,013,330,200,176,008,711,565,249,379,807,
721,686,056,469,084,071,566,632,993,163,508,599,559,893,286,079,923,998,090,
303,133,513,039,850,587,304,100,552,219,632,444,749,753,430,315,280,668,235,
105,018,577,696,975,833,744,662,263,193,430,983,407,458,943,041,928,367,116,
535,606,208,198,748,850,700,141,638,944,410,263,874,201,736,134,128,438,681,
311,653,950,564,804,368,300,080,646,833,461,224,322,654,004,162,185,759,767,
198,060,882,929,695,236,743,532,850,197,441,246,591,528,248,226,560,873,343,
627,920,115,313,675,925,640,770,412,569,503,304,156,467,228,674,071,885,402,
928,575,463,276,776,905,804,860,571,561,959,280,106,862,074,382,327,436,540,
975,086,691,660,711,541,347,313,434,034,595,645,270,990,313,574,597,774,859,
871,297,543,648,934,154,092,395,838,756,050,242,310,896,516,027,102,012,274,
962,071,890,759,701,616,318,211,167,723,597,925,835,159,627,720,349,538,507,
818,529,129,707,095,327,261,119,802,373,423,667,494,114,701,156,342,064,213,
947,025,164,326,602,262,825,662,504,890,047,211,431,055,467,172,116,879,272,
770,375,796,310,211,920,482,844,790,053,181,085,627,409,270,601,495,739,288,
040,387,306,967,426,367,257,183,044,991,108,610,569,592,695,876,564,603,361,
719,620,681,046,814,353,014,316,735,021,485,430,788,517,627,209,621,323,639,
990,546,753,880,443,579,018,429,987,801,564,692,017,293,506,597,095,242,243,
296,545,165,866,115,205,674,958,075,833,758,507,900,054,349,447,022,238,233,
403,590,739,371,439,013,245,023,499,291,601,120,765,927,843,853,714,231,971,
737,618,248,016,956,880,701,036,777,345,842,101,602,342,569,616,308,088,154,
286,954,497,414,722,235,250,913,224,159,160,759,524,511,736,859,542,717,785,
763,905,146,890,691,501,191,703,142,536,407,055,785,611,306,826,358,819,305,
733,644,536,494,753,865,542,269,538,844,037,582,551,794,428,350,313,795,677,
358,836,855,089,833,033,519,533,634,688,015,743,585,906,917,093,171,330,479,
640,659,147,002,428,528,498,525,656,131,178,209,968,087,931,448,548,491,242,
515,844,100,961,157,297,113,780,797,925,590,017,065,102,088,069,525,365,845,
023,954,646,711,007,414,630,928,116,491,497,570,599,684,494,308,009,495,052,
215,647,011,044,504,711,846,227,961,634,861,759,141,672,596,822,337,044,432,
775,376,568,113,143,646,147,435,682,866,925,992,831,078,344,637,029,957,304,
492,581,569,403,472,723,881,085,446,614,469,309,538,241,775,345,382,226,531,
510,519,489,611,295,565,606,472,483,040,879,328,685,271,550,636,338,255,223,
843,497,773,442,217,567,778,770,233,872,244,576,139,038,974,808,339,312,386,
350,053,495,895,841,536,988,110,028,990,682,607,551,141,494,307,272,907,165,
262,351,123,317,006,722,743,951,556,678,412,635,822,772,085,206,412,426,301,
865,353,391,230,860,519,028,230,331,042,473,134,316,738,220,058,232,083,984,
822,974,912,567,387,302,979,420,432,845,256,297,972,225,662,752,635,374,638,
304,299,284,846,453,377,685,877,470,846,212,702,108,992,181,611,334,980,656,
393,435,363,947,903,158,414,385,192,188,232,767,853,527,417,861,289,900,956,
332,759,673,688,215,012,614,880,810,948,113,337,944,646,878,444,079,008,503,
947,120,983,628,494,378,543,136,279,733,529,513,499,889,290,756,178,597,112,
144,633,053,811,007,207,235,475,758,374,488,734,074,639,254,596,845,727,658,
441,350,660,555,293,720,328,170,026,999,699,534,598,355,254,232,690,544,870,
453,852,129,211,947,594,819,140,234,550,514,542,257,978,085,152,964,695,469,
096,689,690,942,479,210,991,175,691,146,384,872,315,791,086,189,354,499,604,
444,348,962,098,580,908,765,235,228,588,675,142,401,499,096,430,705,213,027,
677,485,633,208,811,416,996,365,931,933,490,557,922,386,396,414,094,057,441,
710,573,869,279,548,328,300,952,900,092,365,959,486,077,293,567,449,690,199,
081,130,616,392,272,312,819,402,096,417,519,596,325,811,414,729,319,732,324,
125,063,694,563,906,467,132,167,234,117,059,261,677,059,280,674,483,573,377,
251,784,753,655,749,783,683,804,978,430,895,999,193,005,761,668,379,685,410,
303,702,293,354,980,651,271,423,617,073,883,182,241,294,249,624,165,551,341,
222,366,533,350,548,588,231,274,602,296,681,224,691,621,045,341,621,992,775,
723,816,845,414,827,188,937,806,866,677,162,413,937,776,212,552,453,918,441,
770,511,020,162,987,411,687,387,719,483,772,127,077,756,752,620,368,425,373,
416,297,249,311,502,043,093,255,443,193,938,996,702,263,476,075,410,541,608,
538,427,753,298,989,377,034,752,838,993,376,697,110,225,825,632,444,801,076,
567,878,452,150,291,763,353,921,037,146,762,358,316,255,487,521,554,796,553,
597,958,032,592,583,082,924,350,163,852,947,690,115,874,475,372,048,945,313,
357,108,462,195,388,199,840,516,094,800,127,796,937,058,833,887,950,054,131,
681,751,127,557,337,796,070,222,076,939,690,350,176,959,165,976,509,978,363,
907,077,020,014,887,643,882,636,068,166,826,441,263,874,024,775,851,738,897,
289,443,919,270,877,193,972,614,420,252,121,094,388,078,248,995,120,898,744,
148,569,213,917,900,075,735,615,722,977,331,799,440,722,180,997,584,596,626,
580,672,093,550,056,760,182,861,432,859,511,810,407,973,095,948,528,129,452,
087,319,485,993,091,731,257,457,865,394,425,240,473,227,643,338,628,701,339,
845,902,916,075,305,206,859,421,293,566,615,297,243,615,016,634,747,066,584,
186,298,856,502,425,253,391,203,531,476,394,401,775,417,366,146,743,171,766,
703,524,308,290,190,848,794,468,382,636,972,572,270,323,261,075,165,478,260,
646,839,834,740,156,348,408,073,473,488,190,174,096,193,403,696,959,453,141,
403,481,057,340,554,472,082,545,211,212,850,492,006,431,927,836,343,206,145,
004,023,017,431,505,433,015,629,134,118,674,806,709,118,367,284,984,878,711,
659,622,902,422,656,751,932,018,230,310,882,771,826,130,406,951,447,746,276,
138,966,284,229,223,380,363,472,386,630,001,446,568,527,459,525,221,381,599,
878,444,000,785,627,500,582,769,486,476,713,989,656,063,985,556,632,066,288,
172,546,733,105,323,305,748,543,389,110,955,530,733,134,571,885,317,134,186,
141,184,614,541,406,461,587,559,670,811,647,666,681,535,315,787,676,673,181,
248,643,981,278,569,266,379,739,505,880,522,852,999,179,585,491,543,255,125,
480,958,118,547,428,038,576,104,501,377,530,538,133,053,073,417,305,877,675,
238,497,801,648,878,130,087,650,981,171,987,557,155,902,475,672,795,050,102,
098,562,017,105,801,302,691,538,665,782,037,639,698,652,491,664,978,461,164,
844,574,262,540,782,910,496,723,452,385,018,618,533,702,280,292,164,638,564,
499,976,138,571,486,559,306,738,993,574,093,893,596,222,365,607,036,838,718,
808,435,751,246,501,751,656,234,067,722,710,525,207,081,527,653,790,936,743,
187,408,458,753,397,493,462,231,720,539,097,160,337,308,639,785,185,529,727,
211,231,319,085,062,333,804,888,415,455,068,242,796,238,873,049,225,826,436,
100,844,326,357,352,242,242,271,551,570,783,124,974,669,060,200,390,606,995,
751,190,840,970,479,842,879,396,650,963,311,739,730,194,847,118,213,876,866,
373,508,626,932,903,737,951,137,625,354,561,542,370,989,780,285,183,035,610,
660,389,810,989,662,927,266,893,452,422,013,330,658,632,359,474,573,796,490,
293,842,098,225,405,168,167,628,702,733,136,395,056,803,266,048,457,600,402,
655,409,624,241,720,956,702,932,247,900,980,269,188,919,668,343,810,900,437,
899,118,985,082,570,327,088,729,970,334,655,199,475,460,575,963,261,175,899,
963,122,043,409,531,119,621,220,976,839,026,577,508,581,436,836,508,650,569,
658,031,085,508,524,585,840,755,249,199,616,954,514,865,046,913,649,167,421,
887,653,437,435,727,954,660,170,067,959,154,534,576,372,843,754,122,758,501,
836,978,727,268,644,738,853,834,563,175,089,390,971,197,199,404,592,433,428,
119,376,985,185,966,615,079,163,867,560,091,281,623,760,472,809,148,648,940,
900,683,054,569,573,271,824,528,583,383,964,655,149,671,097,224,524,851,405,
055,569,327,234,401,022,064,899,433,999,530,488,299,196,664,313,861,189,837,
178,193,686,502,072,239,122,011,548,969,683,399,975,410,752,600,174,072,276,
965,647,715,450,849,701,354,598,669,426,237,620,038,366,512,758,142,279,422,
962,084,202,511,944,414,190,007,794,458,641,761,836,785,726,899,260,448,195,
337,507,113,313,668,379,940,590,141,768,172,781,283,124,477,117,722,819,099,
203,650,645,034,120,989,261,167,726,096,342,231,796,370,397,862,853,016,519,
590,543,238,365,404,108,366,218,117,318,018,158,294,459,303,004,892,184,306,
716,679,164,935,838,705,589,623,615,937,498,119,980,078,543,542,025,735,289,
227,314,692,560,077,408,455,610,503,848,074,203,777,799,172,907,067,225,512,
558,441,731,022,895,287,902,678,510,476,898,932,283,608,129,341,483,748,098,
045,773,748,033,820,499,943,637,104,855,392,224,855,774,572,798,252,870,743,
665,851,537,322,222,769,230,613,247,363,547,691,766,184,957,240,583,515,376,
116,419,185,285,552,265,917,355,402,958,746,772,308,075,328,576,368,535,947,
916,725,199,863,942,686,034,096,402,233,669,878,983,371,105,240,985,230,738,
232,238,426,992,273,066,292,345,134,252,048,132,677,900,537,371,864,568,241,
213,713,549,148,319,811,725,592,230,122,268,283,469,864,279,781,614,639,555,
075,835,081,152,486,814,691,861,026,302,054,749,233,997,273,130,666,888,009,
407,307,872,452,367,797,408,577,474,456,941,279,841,542,603,918,945,164,591,
842,393,334,758,811,262,568,765,931,918,589,538,198,371,411,176,739,220,872,
499,833,931,967,870,442,691,544,418,012,403,424,211,388,538,386,479,094,839,
678,133,017,468,446,382,890,174,406,740,365,631,940,690,801,915,781,587,640,
239,748,539,413,790,094,672,166,302,293,774,866,332,114,749,033,237,776,824,
104,844,390,081,277,516,587,423,014,953,995,204,015,314,182,576,781,902,626,
608,243,182,449,090,958,073,692,053,640,799,116,551,491,627,340,545,433,921,
902,453,875,944,716,164,743,320,032,420,817,964,887,523,288,282,890,586,206,
608,506,386,102,075,142,847,785,232,480,246,969,119,901,486,641,162,178,109,
520,100,837,939,309,138,924,772,622,265,476,568,266,657,353,109,669,932,546,
168,980,458,673,105,892,644,449,162,773,744,580,987,037,428,301,801,400,508,
076,146,128,240,586,260,854,135,751,505,788,076,488,240,454,481,877,635,748,
679,564,999,555,756,094,591,116,397,753,743,597,214,357,711,495,847,951,306,
341,728,396,967,791,653,024,512,109,531,695,146,895,469,392,153,209,548,350,
887,614,589,164,412,451,623,099,274,536,334,903,186,533,868,462,826,783,662,
757,390,960,131,400,145,994,290,241,147,663,056,484,951,327,814,666,631,198,
178,493,803,995,833,182,962,643,615,556,496,415,657,014,562,490,686,924,962,
310,799,173,625,765,098,018,093,795,985,634,548,535,100,543,739,175,000,161,
838,607,997,527,240,027,276,999,826,100,113,430,951,852,012,342,118,748,840,
819,163,882,248,676,500,231,199,325,144,551,577,219,148,632,058,699,340,056,
528,957,728,697,618,062,034,016,784,487,114,101,013,512,271,068,340,658,647,
835,051,401,020,658,467,370,412,206,901,986,117,364,814,336,423,503,706,915,
531,455,479,595,828,805,878,226,985,452,479,637,727,584,827,573,589,322,677,
216,279,756,236,959,801,658,740,737,980,814,801,229,227,846,426,191,179,160,
239,183,848,873,182,403,843,961,708,572,242,269,783,296,343,882,686,587,715,
994,893,540,467,095,623,435,201,682,626,189,389,441,281,496,508,154,197,788,
016,817,253,210,519,519,666,770,548,661,146,540,016,457,585,408,025,624,157,
403,076,235,428,569,655,005,365,226,743,916,809,498,564,925,441,753,492,808,
673,919,141,802,144,231,806,710,478,447,445,719,681,105,562,986,954,631,219,
349,370,762,568,980,501,810,561,012,115,583,536,980,630,825,563,065,976,018,
884,962,488,411,697,947,998,916,572,907,272,233,318,878,574,930,561,814,208,
785,453,120,051,411,347,938,610,834,895,674,899,128,149,134,212,938,427,217,
493,318,106,128,229,972,632,681,137,742,360,921,109,840,218,284,565,269,204,
159,191,285,107,306,670,893,335,970,624,259,581,418,463,270,501,374,100,146,
026,605,323,874,689,776,604,884,226,769,950,068,095,814,438,860,741,950,132,
526,731,136,360,698,421,296,091,979,013,733,657,767,323,251,407,989,471,317,
614,620,585,141,843,804,567,066,891,521,787,299,108,253,550,744,319,318,865,
955,622,018,336,559,709,607,378,382,063,431,975,642,467,781,924,681,942,691,
033,839,322,448,614,451,101,527,838,505,455,099,640,709,284,732,454,100,406,
516,082,938,118,492,700,908,329,550,219,204,964,220,035,255,908,219,624,997,
031,684,425,050,608,852,520,287,637,738,577,321,508,195,382,516,840,248,683,
375,631,942,661,060,827,341,768,746,882,927,590,261,686,130,409,684,866,380,
098,338,032,890,571,610,619,421,504,509,290,537,059,772,673,761,030,974,862,
893,447,995,455,497,532,668,382,096,598,968,702,885,353,447,911,517,592,117,
945,223,533,482,448,611,672,965,081,418,830,749,499,904,046,501,444,983,741,
853,304,703,597,011,749,884,450,580,971,781,157,452,383,708,463,441,882,199,
803,311,164,513,867,900,085,767,833,728,549,860,666,497,681,957,881,911,644,
430,622,349,784,021,134,981,436,605,678,168,376,085,174,301,181,993,628,534,
135,372,561,508,594,117,629,131,411,482,442,665,960,976,319,212,396,282,024,
044,146,929,169,881,133,252,631,089,729,193,599,976,897,536,426,121,560,367,
925,105,541,662,533,001,558,448,151,953,131,826,204,367,275,999,062,055,517,
598,430,358,407,179,529,903,619,293,957,912,047,760,546,119,009,406,643,153,
624,321,628,194,813,640,277,086,284,990,963,144,579,438,072,160,849,410,300,
129,263,524,623,719,875,481,352,866,111,730,829,514,542,226,128,143,860,422,
856,446,252,467,814,881,046,216,982,055,830,337,965,916,608,559,442,938,206,
437,300,223,429,570,770,856,092,558,399,995,519,583,263,130,008,842,340,819,
837,183,607,473,300,591,523,416,293,992,128,159,530,045,719,212,887,350,125,
233,768,545,345,013,849,846,076,436,817,332,128,384,766,036,875,199,853,246,
394,447,489,266,018,097,017,043,189,842,584,756,805,255,082,732,844,261,228,
042,661,565,040,732,541,223,275,434,975,327,696,333,916,328,018,887,414,846,
925,815,562,894,239,030,188,126,188,491,325,259,372,322,712,158,936,686,963,
555,587,549,041,467,929,515,853,435,174,613,984,560,851,610,930,616,345,672,
680,774,093,938,534,128,552,730,044,807,737,381,494,722,868,684,522,321,487,
683,406,064,944,076,167,519,832,499,217,054,951,764,119,662,032,526,993,777,
926,141,209,667,489,114,430,879,882,345,025,844,921,154,391,438,767,263,110,
399,937,884,231,497,030,721,729,543,149,761,135,034,751,550,708,187,306,024,
700,172,810,150,281,312,474,779,389,427,319,746,516,062,935,620,928,179,863,
910,711,029,511,772,282,272,439,854,967,238,040,191,826,455,406,649,227,404,
237,338,107,265,137,414,129,680,954,879,952,066,181,830,183,087,762,534,628,
124,714,505,644,404,255,113,545,893,708,590,834,347,176,214,969,355,080,590,
611,913,590,110,371,825,552,616,585,117,042,421,536,763,564,981,080,596,627,
967,586,639,097,200,421,930,300,541,639,394,407,607,371,935,255,642,825,105,
786,457,758,583,832,431,939,328,783,240,000,044,074,297,505,493,836,041,324,
086,442,255,853,645,139,251,669,792,694,427,346,383,815,832,976,984,750,043,
696,869,247,478,569,468,742,349,894,509,515,254,824,819,697,200,154,679,129,
398,449,568,144,758,470,870,015,243,808,883,171,653,272,728,922,072,900,777,
776,875,103,330,463,980,256,735,535,487,427,355,125,819,851,259,379,881,123,
439,453,047,206,283,893,681,447,308,599,113,850,964,396,408,400,906,943,490,
874,336,085,143,584,567,718,304,164,257,533,671,269,625,616,912,165,674,454,
696,205,959,841,615,855,305,945,146,828,468,679,502,186,025,182,642,255,995,
909,643,542,747,616,596,592,530,545,350,255,726,306,038,531,831,168,162,696,
058,797,839,336,972,360,043,816,159,570,370,414,681,209,493,263,884,470,109,
483,689,567,595,505,922,921,507,438,394,652,695,773,383,320,624,337,710,039,
004,080,960,048,322,281,815,169,444,483,496,830,829,857,133,209,938,941,821,
723,870,787,589,478,472,452,217,957,561,096,762,728,013,916,349,959,378,137,
853,718,312,902,808,929,329,969,090,711,659,472,946,165,919,481,059,625,490,
552,498,864,004,828,056,060,374,809,313,006,535,068,464,189,730,515,408,542,
238,797,505,720,316,440,829,084,910,736,614,618,461,857,700,934,857,732,838,
170,262,844,208,085,852,210,677,724,389,799,957,387,585,989,266,241,664,914,
152,405,593,756,512,371,265,324,623,907,058,999,915,126,514,330,278,536,743,
197,032,904,591,669,312,608,598,418,853,488,386,639,622,527,970,605,606,059,
456,964,611,559,499,924,599,358,844,976,744,455,233,158,934,683,861,293,377,
963,818,603,759,900,531,374,136,320,690,108,966,947,901,253,707,226,200,383,
005,505,823,168,063,930,025,052,970,273,802,920,767,520,385,369,370,883,560,
582,502,020,873,835,709,145,085,528,576,701,754,259,745,435,314,324,252,745,
391,099,825,318,717,395,670,700,149,654,162,943,957,208,363,904,629,862,533,
841,814,750,416,340,169,164,454,425,517,460,256,401,403,417,302,629,373,275,
464,780,276,219,300,349,652,361,513,445,833,864,232,058,463,326,133,732,321,
831,642,493,334,971,371,723,589,198,595,741,720,996,060,875,912,323,806,050,
831,993,014,082,544,444,858,668,029,191,149,407,972,003,848,280,667,533,774,
696,264,451,932,562,574,445,149,790,727,633,457,383,280,370,055,150,718,947,
484,906,141,901,789,824,489,977,485,936,561,460,828,566,551,678,115,338,367,
512,991,499,159,088,575,122,979,645,397,164,002,814,519,239,059,315,197,478,
270,427,692,295,617,279,533,956,951,541,279,586,795,390,076,427,627,629,780,
651,101,017,052,637,300,705,291,057,238,840,704,336,602,825,699,401,829,095,
145,347,453,226,632,129,533,189,435,288,906,772,289,552,919,525,329,001,415,
454,590,043,669,911,746,856,929,139,326,214,987,373,412,157,875,669,434,159,
864,210,592,826,606,282,445,666,300,853,799,040,542,698,733,880,644,345,702,
719,627,549,950,476,006,456,756,821,219,518,590,056,702,121,910,902,959,593,
828,921,029,999,501,411,847,418,640,891,979,016,852,012,451,225,258,201,065,
202,258,730,466,918,832,336,411,737,582,891,686,399,959,710,767,770,702,547,
127,927,665,780,420,159,653,864,607,689,699,206,198,141,965,461,658,162,771,
056,981,983,087,772,881,238,030,890,240,029,394,688,993,460,213,242,985,810,
587,449,100,573,236,661,209,415,494,950,453,278,333,746,806,165,470,125,245,
536,616,211,992,765,585,487,172,158,295,443,928,723,464,876,966,895,481,360,
340,690,204,199,156,198,579,612,810,628,815,707,164,003,174,294,442,726,611,
486,743,894,104,986,666,835,753,648,647,316,105,328,193,715,078,735,522,346,
318,076,390,471,066,303,475,303,872,112,780,887,301,053,853,739,537,045,798,
492,539,493,231,655,282,137,103,416,601,103,504,351,253,577,980,245,437,537,
943,607,456,641,089,733,650,857,804,305,080,296,164,184,254,211,966,795,595,
309,827,093,074,544,891,178,057,262,757,204,681,143,671,843,951,416,968,476,
754,218,896,728,763,144,349,829,794,944,442,719,723,044,477,300,486,313,863,
910,898,286,350,965,107,167,798,253,397,663,683,708,311,678,118,118,475,904,
091,623,849,750,948,265,974,167,207,909,769,577,148,584,591,375,385,054,989,
831,018,489,561,093,875,171,308,341,960,757,498,597,202,910,144,365,224,474,
859,636,673,282,382,491,704,645,229,484,180,904,995,886,368,100,417,422,030,
767,390,920,470,975,116,370,273,516,307,535,453,379,227,029,533,021,140,076,
297,391,957,887,241,145,847,136,693,255,212,668,149,526,712,102,487,924,389,
808,439,487,708,890,959,923,519,986,147,718,893,645,284,195,946,817,283,325,
887,634,227,610,174,995,351,207,491,293,363,730,027,027,516,845,071,913,324,
141,249,883,319,044,937,734,345,763,796,945,624,100,242,657,766,456,871,005,
243,640,529,164,851,430,566,073,810,927,542,604,777,826,706,725,324,999,283,
724,935,321,803,093,789,616,183,020,234,065,488,069,620,500,721,830,993,550,
873,063,529,903,570,714,448,043,759,709,425,565,740,268,655,788,279,197,418,
950,552,096,131,376,664,796,844,824,782,517,372,438,218,369,644,870,520,279,
499,606,974,232,542,448,952,726,105,487,064,081,491,399,299,630,934,860,384,
213,288,894,057,269,099,467,037,899,614,450,372,751,679,693,633,640,452,176,
488,110,048,388,798,482,370,919,342,143,891,068,843,743,483,520,036,534,028,
946,579,546,893,566,428,051,293,452,160,808,221,682,617,541,299,553,496,778,
978,580,494,017,605,363,401,402,808,134,816,299,025,899,951,613,483,873,281,
854,776,899,607,525,780,240,667,620,695,917,562,388,940,517,977,216,104,525,
995,277,898,571,512,090,231,993,545,001,635,978,577,981,587,320,411,750,194,
788,098,233,819,508,609,506,198,073,323,473,372,473,033,477,447,015,560,315,
667,993,614,550,374,864,012,033,377,533,651,142,384,744,108,490,551,208,578,
898,289,709,766,680,353,464,060,024,284,136,567,310,214,805,700,097,653,974,
879,343,438,026,136,999,617,261,538,727,773,235,215,265,777,698,015,080,378,
278,452,941,579,150,759,169,343,393,730,461,323,520,491,807,754,975,316,545,
417,847,485,072,062,307,942,931,076,027,027,104,166,581,602,135,405,804,977,
297,527,705,331,055,829,323,103,514,004,738,384,552,310,381,071,092,120,270,
504,743,286,947,914,528,301,551,040,113,251,736,649,199,961,259,364,735,759,
702,345,676,900,658,466,237,087,817,470,101,864,550,810,139,870,601,676,829,
296,165,268,176,666,923,177,681,471,865,558,141,906,229,237,048,361,222,446,
336,402,872,252,561,423,668,996,668,754,411,314,656,805,767,007,938,380,678,
142,243,897,620,915,354,893,832,672,048,369,481,675,080,505,783,007,377,893,
168,187,274,833,198,703,865,387,200,882,241,002,695,216,114,488,878,743,331,
318,046,464,239,020,828,246,372,748,424,411,902,673,867,792,535,575,985,831,
167,364,793,922,610,674,192,519,450,997,232,455,471,366,972,878,129,763,598,
923,387,025,641,925,788,891,582,008,819,039,380,751,790,074,662,739,311,175,
658,140,285,677,549,355,037,757,603,814,945,215,209,253,753,681,005,574,731,
401,888,923,364,151,479,704,637,700,395,731,852,773,989,526,117,961,054,946,
918,847,364,820,768,686,964,651,704,285,985,018,785,745,949,327,835,468,028,
689,598,109,566,816,102,170,978,419,383,684,961,739,306,843,602,411,273,676,
514,276,043,783,886,540,107,853,906,404,396,714,546,426,446,885,374,937,484,
127,466,576,344,695,682,940,607,214,816,022,013,748,395,965,944,752,086,636,
943,203,436,204,493,503,485,123,447,395,681,176,503,313,950,845,889,519,443,
146,653,128,307,479,078,554,615,470,948,079,320,552,745,706,094,926,960,912,
409,056,213,456,253,704,102,048,497,242,893,438,890,605,189,586,711,906,746,
350,072,008,684,836,217,241,444,847,104,277,438,163,598,682,755,746,832,658,
894,032,993,803,552,795,048,665,763,842,982,291,073,535,852,318,509,189,499,
131,475,212,045,747,874,981,237,909,555,300,196,448,828,308,354,816,085,456,
560,272,003,543,973,838,228,031,942,879,858,294,174,845,149,287,606,223,316,
434,156,331,869,374,327,627,559,706,242,256,839,471,403,383,154,169,145,466,
885,219,052,438,556,117,193,520,548,869,586,336,280,124,014,718,060,702,476,
550,161,930,540,780,836,327,052,969,859,816,720,407,864,332,745,207,496,606,
236,964,574,456,514,324,152,939,968,900,817,791,057,761,050,344,374,655,311,
769,106,725,156,889,597,914,448,725,484,092,096,171,998,185,763,228,135,780,
305,077,545,588,187,326,078,151,596,528,650,017,077,627,051,060,927,124,189,
607,640,015,881,402,695,461,837,591,888,811,215,631,206,687,333,975,605,364,
923,120,601,421,193,947,893,658,065,670,559,276,888,469,477,043,848,823,845,
339,909,708,910,835,006,473,052,601,556,073,980,152,127,726,393,789,233,495,
560,389,658,616,321,256,096,699,004,101,658,175,978,759,090,870,176,404,296,
959,154,683,718,893,056,016,751,038,067,309,476,988,016,547,172,056,702,866,
541,919,573,031,936,094,965,794,719,746,162,271,805,677,804,084,654,896,028,
846,883,945,190,702,014,076,986,691,310,156,081,322,994,551,809,631,979,791,
994,399,325,260,124,419,183,012,559,381,343,795,426,989,406,790,807,587,639,
446,248,956,940,964,781,003,570,336,653,408,671,994,800,112,019,012,786,524,
096,486,499,586,739,860,281,066,589,269,031,235,902,675,592,374,208,673,969,
979,471,002,447,634,289,285,739,326,238,143,352,278,023,282,699,078,203,977,
210,667,951,578,512,662,502,117,917,169,197,966,987,991,595,957,562,881,526,
120,243,855,622,949,632,238,309,937,185,917,290,958,470,186,942,970,490,038,
778,183,461,132,282,584,643,505,812,007,622,932,919,763,250,612,263,906,497,
936,869,713,854,103,734,274,612,264,976,458,120,129,825,546,128,992,725,672,
347,785,696,546,041,992,801,051,804,037,502,054,383,754,598,152,955,112,707,
544,932,710,154,567,138,683,629,912,822,145,678,291,632,824,791,324,479,561,
187,775,876,965,782,496,505,733,254,896,150,418,246,275,302,971,849,377,248,
995,366,622,871,048,760,158,032,113,046,229,890,430,720,454,577,471,605,594,
873,388,388,586,916,011,774,101,581,786,727,921,591,990,887,364,630,916,670,
377,919,613,681,459,650,062,935,706,771,018,840,177,016,864,568,781,967,862,
704,677,160,012,091,126,821,150,571,159,551,678,625,188,500,659,220,164,503,
082,583,055,635,683,724,976,034,578,864,617,830,950,364,414,051,376,154,607,
288,100,127,872,826,578,280,369,342,884,073,318,434,866,189,737,825,347,458,
418,142,325,711,296,067,299,671,282,594,856,983,493,566,537,130,300,430,319,
573,355,051,149,559,764,561,929,792,194,320,914,934,992,560,150,616,954,294,
996,903,806,138,993,799,151,927,435,006,858,677,697,741,751,890,083,760,893,
908,893,904,942,161,026,592,218,478,481,480,871,971,518,802,697,945,847,746,
646,022,344,868,984,643,454,123,720,005,147,039,198,042,520,719,475,798,619,
853,898,419,070,497,521,366,172,638,806,720,920,289,583,893,311,597,961,255,
885,258,721,460,978,040,339,486,931,067,051,205,929,517,788,929,382,368,880,
229,593,500,778,618,057,826,047,420,959,345,736,771,285,370,319,855,147,049,
122,397,530,585,510,555,716,710,740,172,841,004,055,722,656,311,550,708,103,
302,230,076,764,591,425,150,968,854,201,055,519,842,116,603,085,689,655,813,
022,121,752,742,008,133,830,303,015,167,715,432,100,778,205,806,515,140,988,
203,564,420,773,612,757,122,016,974,828,469,014,711,131,683,536,168,980,824,
694,667,874,643,143,731,452,779,537,750,268,426,200,116,956,876,155,560,046,
156,476,977,302,427,438,990,555,951,792,835,717,839,146,633,700,812,583,026,
263,693,865,937,506,736,591,337,029,424,026,627,632,147,228,621,294,530,415,
659,010,550,896,965,278,267,863,366,035,847,856,386,391,658,845,394,295,318,
695,611,342,940,905,498,470,888,050,206,610,523,144,993,216,083,410,689,353,
549,656,395,040,869,643,188,519,497,525,857,640,036,100,438,239,644,817,522,
835,819,304,427,952,603,131,697,509,225,284,223,466,414,456,777,631,876,720,
090,213,219,363,989,827,961,120,236,310,767,023,649,347,401,969,134,826,643,
907,491,203,896,014,223,416,581,988,868,494,551,373,488,319,569,124,330,582,
309,506,442,753,462,295,665,494,554,682,872,978,511,048,596,628,705,761,529,
256,583,357,915,118,207,604,487,647,635,213,775,826,056,105,456,855,459,888,
157,710,657,743,976,714,397,289,046,392,691,925,937,216,844,767,594,738,331,
086,420,754,844,940,229,502,281,341,506,896,714,495,464,878,285,837,987,527,
399,754,755,824,623,426,516,685,853,396,297,509,565,261,809,575,434,347,287,
040,081,782,231,036,603,174,288,677,935,000,739,107,059,875,116,517,187,550,
472,847,837,526,678,648,402,917,190,529,526,780,815,002,430,889,688,639,602,
051,489,429,868,831,443,282,297,113,700,227,039,286,201,034,703,320,107,631,
005,625,231,859,325,651,163,223,780,688,990,609,970,780,334,788,608,501,838,
330,925,362,719,230,873,129,920,775,368,184,646,598,210,223,133,642,065,773,
534,759,062,539,817,931,148,039,988,289,390,649,215,737,280,204,023,486,835,
539,894,642,867,025,737,863,013,506,651,644,593,900,861,044,921,884,301,385,
769,368,143,635,936,836,617,420,387,692,388,087,807,594,456,807,448,614,447,
939,504,104,815,072,538,822,451,414,111,352,536,825,474,392,544,488,975,203,
892,267,926,929,717,721,348,985,246,984,491,479,859,875,826,350,421,525,941,
270,793,536,604,664,593,097,644,625,950,536,053,574,756,477,266,989,095,624,
447,000,752,564,046,575,189,114,341,812,314,718,636,625,135,112,935,164,003,
926,943,676,164,512,936,260,648,781,856,190,740,483,614,271,687,394,720,531,
783,713,013,564,436,273,220,160,619,022,799,401,538,099,718,421,748,638,397,
250,936,641,108,302,305,477,764,930,947,368,637,688,891,625,072,125,202,297,
843,543,494,267,935,480,663,096,280,692,154,983,097,706,857,547,117,984,139,
320,821,949,112,640,429,884,619,323,399,913,076,295,630,762,735,088,118,092,
911,568,786,307,661,986,387,460,115,098,234,116,431,914,071,467,929,166,411,
404,638,399,985,601,399,703,475,142,024,511,650,607,721,059,960,168,935,307,
570,008,554,981,622,797,148,421,109,999,860,687,998,420,982,814,161,543,185,
765,930,592,682,179,249,734,739,933,368,778,345,612,064,187,248,135,323,637,
350,821,733,172,009,433,626,232,950,224,554,468,876,226,610,643,251,883,919,
674,098,764,646,699,724,333,912,564,282,475,553,512,094,391,044,473,183,859,
895,964,129,169,884,343,372,889,070,127,007,555,986,778,919,571,373,701,811,
705,655,830,924,013,117,734,522,185,362,778,755,862,695,747,707,824,284,097,
488,001,965,806,250,352,526,150,250,444,532,684,899,126,181,951,220,760,772,
024,055,242,132,148,288,858,090,818,714,661,758,364,744,100,922,921,809,043,
254,439,491,622,421,943,380,640,409,753,961,527,793,642,941,687,732,798,601,
670,178,957,321,177,028,535,364,721,252,232,586,214,931,563,878,816,397,073,
627,397,489,875,571,929,999,276,420,934,500,738,163,741,224,199,798,116,782,
452,509,489,210,790,510,286,303,517,011,009,945,153,611,303,075,646,099,996,
084,209,033,738,946,291,104,503,802,446,566,674,206,577,877,368,203,123,015,
077,307,110,941,719,065,942,259,598,099,041,020,222,533,918,242,055,786,425,
299,907,769,394,197,191,172,904,108,836,622,221,752,069,390,214,068,301,228,
099,599,192,805,197,059,934,350,847,041,057,255,591,384,592,403,763,240,019,
675,662,875,009,522,150,168,898,013,708,329,817,485,328,011,911,757,896,427,
220,694,155,079,683,703,423,093,390,352,672,916,839,830,351,356,278,925,044,
665,022,552,569,219,916,714,515,474,845,006,468,351,250,772,770,363,138,463,
221,294,835,936,710,701,467,769,920,539,049,801,090,580,854,430,926,530,911,
568,387,964,266,564,695,871,323,699,327,916,492,890,895,394,358,423,744,515,
744,502,703,001,546,529,011,867,790,743,597,463,481,558,947,721,843,464,832,
443,593,465,131,830,202,612,386,444,374,240,218,519,303,535,728,199,348,726,
916,861,904,612,647,991,480,463,795,142,224,271,136,139,229,456,920,638,705,
857,958,035,775,863,480,735,192,232,117,611,352,344,861,814,576,097,927,913,
433,956,834,533,573,404,897,717,368,560,561,802,074,640,200,365,378,669,391,
163,808,375,029,400,393,097,752,269,466,650,837,465,212,721,879,932,305,171,
648,021,594,561,961,545,745,352,353,447,736,306,994,860,087,482,502,041,337,
033,984,276,337,266,033,640,879,370,590,667,501,984,908,369,139,988,364,167,
232,435,245,407,730,356,391,367,248,844,787,006,378,109,737,946,939,829,499,
471,057,718,014,218,194,542,196,534,553,843,961,491,145,511,848,065,984,326,
212,375,904,801,083,663,492,644,223,644,575,443,895,099,142,048,376,551,488,
630,211,580,842,164,428,340,674,664,492,975,767,769,700,202,673,035,947,381,
031,281,485,279,519,332,916,774,451,101,458,095,846,951,191,299,247,597,734,
041,012,695,205,341,082,484,280,181,804,613,838,948,320,711,072,850,408,983,
256,365,919,568,187,573,047,765,068,174,048,956,857,751,704,323,535,120,960,
706,512,343,952,693,763,092,139,321,168,452,638,509,679,721,655,199,982,178,
890,748,649,359,132,405,299,327,354,072,936,487,078,586,531,278,729,290,148,
863,591,266,609,313,317,847,922,170,457,434,018,387,300,405,252,615,737,281,
624,671,770,741,115,113,007,776,880,440,990,246,442,029,916,957,426,705,356,
677,725,736,938,121,068,239,433,482,316,171,959,781,446,403,046,979,990,205,
915,006,361,099,701,468,776,965,389,729,837,560,422,820,581,451,348,668,243,
180,916,044,628,765,965,238,839,898,687,731,191,053,290,738,096,053,724,673,
156,053,757,927,075,318,985,664,831,234,386,607,264,714,924,937,150,909,370,
265,446,454,052,024,272,349,059,031,510,261,341,634,818,195,821,268,757,324,
562,490,246,106,992,860,790,140,975,820,665,030,360,802,467,119,248,317,105,
258,075,023,505,650,644,431,867,916,841,993,542,496,792,723,622,749,164,371,
194,355,478,358,055,332,022,769,501,778,528,853,309,986,509,015,061,655,313,
048,827,046,707,204,189,402,303,757,541,605,982,943,197,876,826,087,230,393,
327,895,986,097,635,063,601,486,853,837,060,734,040,642,503,690,875,579,993,
600,035,096,743,414,009,363,893,698,436,597,535,930,042,234,180,626,260,572,
853,314,885,770,398,965,264,523,148,898,314,008,169,420,093,423,879,138,275,
582,000,659,859,123,521,006,168,366,099,749,242,258,157,108,700,074,771,545,
547,328,000,580,247,999,824,843,372,707,064,298,616,524,666,068,431,570,951,
044,691,361,852,828,691,179,074,158,149,084,916,208,912,051,745,433,427,044,
066,843,060,379,803,017,547,161,328,598,149,330,781,739,915,727,521,804,750,
031,330,613,754,389,828,749,589,654,583,327,037,168,642,000,974,905,713,393,
765,693,843,314,994,727,036,800,856,976,706,553,554,915,858,420,779,372,147,
837,283,328,273,100,143,965,776,688,859,525,015,896,775,568,601,428,092,062,
447,219,365,412,305,504,463,164,631,564,082,210,289,445,870,097,373,023,945,
949,097,441,176,252,950,941,264,086,011,042,574,882,357,603,271,968,408,278,
602,849,913,996,892,335,142,630,361,071,055,173,483,047,741,653,605,895,137,
155,884,145,723,206,982,836,234,286,660,644,530,856,723,523,009,584,618,231,
226,936,643,239,313,706,484,103,468,869,940,911,654,905,354,643,022,300,877,
533,829,297,033,828,452,239,048,361,507,471,832,678,640,466,766,457,216,111,
234,084,604,123,161,285,516,014,815,446,523,034,523,788,929,548,709,798,781,
837,116,186,487,313,616,540,122,293,936,805,753,909,629,789,053,625,508,402,
795,387,807,808,083,629,270,408,090,405,074,167,331,206,213,207,755,288,521,
870,958,222,597,158,737,057,329,679,615,685,272,038,663,972,104,246,540,647,
335,580,584,490,143,017,249,739,108,629,697,151,240,440,161,521,347,060,626,
281,113,382,089,778,775,254,120,568,946,468,954,695,069,097,244,464,263,755,
620,762,853,816,781,362,336,254,306,932,693,415,488,192,228,583,090,289,395,
107,310,674,157,017,483,657,624,737,862,591,479,400,895,780,158,782,803,338,
198,486,665,455,985,907,753,932,288,765,811,886,148,693,409,612,832,508,047,
856,267,703,696,580,009,356,291,923,223,067,627,610,338,733,200,890,982,986,
634,435,510,176,738,550,076,952,211,301,314,009,046,258,670,642,520,077,438,
252,911,105,833,101,803,018,484,460,394,981,213,216,574,643,066,958,170,327,
849,633,317,717,341,323,524,450,419,526,290,172,386,104,356,188,368,105,386,
009,585,601,884,587,124,572,119,123,121,317,848,517,319,382,976,605,081,827,
797,463,972,031,540,671,768,792,587,308,079,565,387,051,901,621,220,422,002,
786,834,345,941,468,961,971,771,183,301,151,379,534,232,756,896,886,452,164,
121,096,886,219,748,225,918,172,965,302,866,649,599,473,730,768,739,749,051,
979,724,685,732,778,220,896,225,839,658,722,346,060,521,838,424,431,917,851,
970,234,085,707,516,578,290,573,400,537,342,151,744,292,170,206,613,905,365,
336,412,623,031,508,488,658,934,896,318,688,118,968,488,239,441,063,083,275,
542,816,164,473,724,600,408,929,034,811,087,692,770,259,517,491,147,522,268,
123,669,667,740,065,586,435,890,136,785,737,619,858,747,608,864,054,549,522,
179,523,393,896,374,576,689,977,129,838,068,852,972,293,612,586,108,310,813,
249,428,962,739,431,716,197,741,720,351,523,715,350,337,957,795,934,513,327,
048,679,886,855,227,385,536,536,579,213,330,554,931,243,419,653,833,630,138,
216,967,845,092,512,621,387,071,710,884,698,656,269,831,139,782,865,720,385,
352,624,075,424,416,648,764,650,070,310,747,442,379,392,004,146,971,637,683,
893,274,374,990,608,414,406,176,129,422,190,938,824,906,112,049,993,402,595,
281,913,401,679,788,373,059,655,781,364,282,337,989,699,177,659,922,848,609,
391,546,776,703,662,420,960,867,724,743,278,304,719,261,766,826,136,552,991,
857,665,273,020,467,406,749,601,814,392,490,825,479,758,032,569,229,818,699,
515,173,141,826,271,368,169,486,908,891,916,092,281,716,615,693,085,643,125,
326,810,080,191,480,257,712,338,140,547,420,198,518,691,530,030,774,298,083,
982,401,840,186,960,076,088,944,590,733,503,704,630,393,806,336,069,354,721,
341,016,579,658,658,412,898,559,660,037,191,272,738,975,138,173,831,574,929,
012,955,321,083,993,166,307,653,045,872,787,705,467,268,718,577,346,757,458,
837,894,599,561,546,011,117,366,366,236,631,222,350,372,456,795,095,545,107,
950,250,902,569,819,250,758,847,872,474,386,678,764,259,313,187,624,280,661,
337,102,565,294,056,644,378,878,620,971,362,235,569,956,577,865,832,093,387,
757,478,877,821,231,228,263,018,140,819,242,440,632,421,811,558,546,191,639,
504,362,968,579,243,298,091,294,389,983,998,332,515,357,571,530,937,521,008,
659,035,218,999,730,076,106,845,675,356,335,159,492,494,991,659,235,359,982,
880,293,081,707,546,674,031,122,507,718,450,190,241,160,213,924,134,388,040,
386,851,787,920,587,903,587,003,469,766,088,357,427,805,306,979,346,913,553,
072,796,616,050,042,580,750,119,686,504,132,520,183,225,091,531,949,395,249,
665,210,642,561,070,475,835,279,968,918,784,307,268,863,868,858,557,842,790,
111,409,300,867,258,627,049,207,288,287,967,862,737,423,100,322,673,328,385,
189,106,561,999,885,665,554,418,149,614,264,761,576,420,157,789,799,296,715,
693,133,120,548,453,611,362,167,977,504,654,114,430,927,475,468,091,684,267,
134,582,823,658,547,093,073,730,757,748,953,838,545,615,490,310,718,258,617,
660,788,599,673,211,707,011,524,773,723,227,122,457,196,410,845,611,338,984,
957,187,134,906,667,302,629,024,913,755,437,394,395,664,296,180,774,198,124,
207,679,731,822,494,980,541,822,475,032,631,527,963,407,944,924,476,800,646,
434,151,030,097,547,393,389,694,424,483,644,441,500,148,629,012,479,957,150,
842,719,850,338,129,952,545,190,207,810,460,894,661,516,990,173,543,561,069,
176,756,900,030,613,044,927,438,148,971,728,592,484,653,399,478,825,832,387,
919,034,396,675,083,130,892,717,377,869,994,528,533,810,901,329,385,363,424,
183,251,318,969,091,747,984,155,242,768,745,276,083,460,998,940,418,970,568,
929,630,143,670,398,982,342,931,250,122,076,121,689,520,481,211,277,983,699,
527,514,258,779,700,320,800,666,977,069,392,629,567,628,043,895,739,243,699,
496,177,524,731,174,116,263,173,915,858,496,796,514,648,018,743,163,447,804,
958,953,715,062,562,526,741,374,804,156,235,362,837,500,338,704,176,960,092,
992,120,759,560,216,702,042,174,812,009,326,821,930,421,522,342,803,400,604,
709,071,350,438,234,792,165,032,656,521,297,408,663,988,847,372,510,844,104,
211,817,788,389,928,003,543,822,432,377,230,537,622,485,895,471,470,921,795,
171,709,607,018,175,026,892,171,264,800,718,658,092,319,319,598,761,975,767,
274,636,368,762,101,999,670,339,265,848,325,465,993,443,428,109,148,793,033,
004,395,635,294,191,067,384,218,985,523,835,041,457,418,508,547,597,307,391,
652,425,037,393,632,229,809,656,899,936,885,948,610,001,036,198,507,143,603,
826,998,103,022,568,550,687,733,840,506,836,436,503,742,187,056,655,781,231,
930,435,694,124,966,581,059,128,961,198,139,782,283,963,472,134,583,598,049,
716,684,832,115,383,301,621,734,185,345,385,196,566,629,196,047,585,852,116,
367,488,979,172,335,811,489,399,325,450,296,548,223,982,418,659,940,259,155,
154,937,888,027,177,423,596,010,412,238,781,711,632,203,826,376,995,372,388,
508,342,386,198,706,253,892,669,791,354,318,812,472,077,376,181,416,265,569,
688,423,480,442,093,529,281,280,142,591,506,149,232,273,618,060,327,211,453,
500,621,861,144,955,953,670,190,453,760,044,202,297,465,758,574,328,550,880,
262,479,817,937,551,328,080,091,009,011,718,906,046,814,554,368,977,201,107,
658,940,632,291,126,463,664,473,905,203,172,044,831,642,686,869,203,816,712,
797,095,360,657,396,206,162,091,204,251,319,655,707,441,614,271,541,128,447,
168,218,392,409,457,195,661,409,524,110,237,849,424,625,183,716,739,703,828,
522,842,988,090,738,244,391,338,374,942,763,591,197,910,351,683,533,452,486,
894,740,284,244,904,192,371,446,446,438,841,417,172,486,615,260,781,465,553,
850,648,874,896,124,302,687,782,453,764,554,288,317,289,017,380,470,060,125,
613,282,027,856,586,727,432,670,206,015,181,183,021,318,975,065,354,548,657,
146,461,858,461,776,313,303,174,772,120,785,403,241,161,051,609,266,355,153,
861,423,499,328,614,655,389,678,676,405,281,233,518,303,184,980,583,793,314,
113,772,955,474,926,995,407,930,232,912,561,806,543,978,309,437,861,300,604,
909,716,842,409,982,506,223,653,876,175,271,739,092,242,931,811,331,852,746,
156,040,405,545,939,859,435,020,754,688,423,249,369,663,665,221,978,465,945,
484,869,200,069,036,985,049,427,276,582,765,659,625,856,796,887,779,363,503,
942,680,439,900,945,096,501,114,196,787,984,445,176,637,968,010,623,291,671,
724,222,823,450,876,341,019,750,420,908,201,323,495,331,715,888,226,228,911,
911,842,629,359,587,155,604,851,794,012,408,446,948,028,480,120,674,503,704,
928,889,760,524,049,700,455,567,381,807,767,833,467,759,874,683,777,416,249,
397,746,509,421,672,040,119,638,737,746,019,604,835,270,914,583,684,153,821,
529,217,199,873,340,618,873,888,162,847,576,237,529,165,305,862,934,824,964,
826,744,199,897,624,806,074,475,165,398,165,993,200,500,659,953,279,351,687,
308,927,859,962,518,376,031,931,643,751,700,987,786,333,831,089,057,517,989,
436,247,153,768,149,901,432,551,061,253,003,548,610,230,341,821,771,311,637,
417,876,174,723,933,328,579,747,701,250,218,889,534,466,098,501,667,709,600,
114,582,274,307,425,135,861,558,552,321,817,215,516,279,950,965,874,336,318,
851,149,963,665,260,199,335,784,901,027,977,129,922,648,237,182,939,914,163,
471,996,674,310,286,119,505,004,498,980,240,701,994,018,695,225,819,683,732,
716,070,090,224,951,852,820,980,941,845,480,504,491,086,856,093,378,171,889,
656,259,883,741,906,238,191,439,063,753,185,054,994,684,998,280,559,424,321,
522,212,353,860,224,847,578,284,072,824,329,644,516,509,657,434,594,145,400,
377,659,091,698,362,696,174,050,480,967,198,133,099,023,724,209,122,731,995,
951,133,590,806,821,413,392,337,525,905,500,988,863,650,067,149,059,552,825,
780,957,850,809,805,932,035,941,791,306,656,792,600,212,590,243,755,193,858,
721,341,961,639,149,742,729,642,912,776,508,980,453,800,351,581,924,799,032,
498,153,196,679,167,539,386,079,506,766,282,674,760,032,656,472,625,078,661,
190,042,474,345,532,689,678,102,398,907,855,338,725,053,589,304,232,646,795,
709,289,619,011,129,002,485,414,852,371,079,305,382,434,503,233,560,476,901,
133,615,568,550,709,794,819,695,514,140,444,182,925,681,772,724,012,252,371,
661,009,082,583,459,514,229,130,258,445,167,385,487,518,038,963,181,186,585,
411,597,803,723,700,056,464,064,615,238,758,070,108,507,732,968,628,133,418,
221,741,415,131,563,687,995,104,672,561,226,797,590,294,071,476,181,263,633,
829,685,874,039,478,454,584,832,584,013,088,176,698,058,205,607,651,724,546,
058,028,409,565,098,818,677,380,838,822,269,878,661,160,058,891,479,701,898,
938,309,072,211,707,252,879,472,536,821,918,028,662,470,865,099,599,641,917,
953,097,133,288,123,886,160,218,119,180,438,476,590,499,000,844,165,887,330,
395,885,559,085,526,520,870,105,080,030,269,837,895,733,958,640,957,546,434,
996,540,832,739,490,611,229,809,999,091,907,559,796,754,006,189,377,286,724,
185,037,804,909,087,158,725,367,571,842,589,999,377,026,296,696,362,917,563,
410,802,574,547,874,529,563,657,029,455,571,340,521,960,394,445,265,231,734,
365,046,830,219,094,584,359,468,587,251,451,973,176,680,914,909,410,422,445,
595,848,935,480,220,111,389,519,006,610,502,209,920,694,161,784,686,553,863,
679,561,717,040,969,489,232,404,782,119,400,978,432,394,455,227,825,290,741,
384,255,921,868,388,510,327,954,273,463,528,676,471,467,840,070,366,536,626,
641,782,091,167,108,605,904,771,985,317,372,247,247,918,503,195,876,031,149,
768,467,324,466,471,804,988,534,209,602,450,295,510,503,948,676,581,480,868,
347,503,187,989,683,894,867,705,402,733,224,865,267,953,789,436,588,464,976,
622,508,160,416,102,805,645,530,174,390,386,630,648,256,505,153,148,037,444,
404,767,936,597,142,829,624,773,039,561,707,985,476,249,316,668,188,472,696,
943,016,816,415,052,110,777,851,237,717,640,134,760,128,590,176,759,290,992,
247,571,140,955,684,396,822,950,762,924,476,200,013,518,632,621,740,180,108,
574,200,164,691,949,496,311,646,213,232,351,182,874,793,143,660,414,292,547,
907,316,962,837,224,177,941,168,577,570,866,054,994,868,964,356,420,548,040,
935,466,465,498,344,280,299,282,589,338,464,469,096,279,138,223,634,074,895,
622,235,087,365,821,164,894,825,218,523,947,479,096,021,680,068,321,558,404,
860,334,554,193,664,474,121,870,432,460,928,742,323,522,105,767,545,532,242,
730,595,623,653,827,706,599,553,535,943,722,624,376,866,449,483,247,429,034,
817,853,221,491,088,928,931,015,383,173,635,958,490,738,627,180,544,481,349,
893,061,906,284,750,157,671,445,532,302,209,834,876,240,281,646,140,886,759,
215,331,791,584,700,775,106,051,402,509,055,773,672,613,949,575,992,957,230,
073,434,341,903,532,813,411,800,785,537,135,289,221,303,505,124,232,309,164,
792,194,600,506,484,838,728,133,591,957,322,817,937,914,835,594,960,297,312,
143,466,053,090,291,239,889,488,531,775,364,596,974,100,615,550,154,876,361,
157,465,971,914,907,484,799,432,741,767,493,895,017,949,444,827,591,889,350,
769,909,229,426,685,214,235,541,258,272,383,960,482,034,850,668,993,052,116,
243,587,276,586,329,711,138,012,776,202,405,041,139,570,876,963,879,312,099,
546,253,396,455,287,460,990,958,279,029,738,493,760,723,419,213,316,534,428,
838,352,550,974,907,622,043,647,814,418,076,422,853,935,260,242,980,961,781,
077,386,458,105,818,192,544,546,912,558,687,578,123,261,986,329,879,599,344,
461,624,436,914,410,895,536,537,883,653,142,156,674,546,498,237,835,114,811,
002,302,808,440,673,186,872,090,283,156,768,926,777,582,914,976,091,949,544,
467,663,804,491,953,796,507,220,641,796,565,661,442,597,422,446,203,467,329,
862,527,790,901,376,437,569,042,865,161,580,890,674,812,311,862,957,065,866,
491,387,340,286,415,683,089,723,607,607,318,473,503,265,897,408,205,573,895,
946,166,748,127,774,770,904,052,148,412,526,877,566,627,311,769,225,880,358,
006,476,765,905,539,279,715,242,922,049,740,156,645,685,548,895,864,696,093,
636,377,364,721,509,607,331,234,957,347,007,981,444,335,627,853,144,199,216,
655,824,126,354,227,406,993,360,675,447,190,463,531,191,248,887,185,223,678,
198,955,352,685,342,244,590,101,443,236,230,952,243,831,371,178,115,023,677,
047,426,958,413,823,372,215,346,242,838,180,743,429,362,260,910,967,767,302,
056,607,226,631,839,652,431,270,912,179,753,667,382,260,224,025,017,058,704,
452,046,286,834,428,830,328,990,477,155,816,143,383,544,357,540,871,152,883,
888,389,775,457,894,210,936,296,437,790,506,165,039,043,941,483,263,842,803,
802,730,593,371,519,344,063,494,518,515,310,383,681,093,362,967,655,926,393,
993,797,537,714,928,856,097,627,494,249,851,534,911,468,743,858,452,014,147,
978,580,170,753,305,020,435,261,205,182,982,404,488,488,979,682,452,889,356,
410,693,004,155,106,200,460,097,298,734,540,099,817,802,076,512,454,526,657,
452,509,019,367,844,456,381,198,386,046,765,098,071,073,531,731,276,687,510,
984,091,379,462,277,364,317,670,480,351,895,782,075,707,074,784,671,969,997,
159,880,009,865,649,956,373,221,101,854,010,118,273,485,471,997,094,233,788,
948,362,815,546,433,458,782,213,772,684,796,308,750,570,972,337,408,800,062,
165,555,859,274,769,430,151,604,827,428,447,355,427,986,773,560,331,875,040,
032,141,112,574,302,474,107,109,588,768,993,027,427,266,802,855,706,825,948,
366,611,555,201,111,528,027,202,264,430,501,467,247,892,858,393,971,494,845,
448,698,439,074,810,076,903,564,567,916,708,796,087,307,123,378,429,779,963,
272,123,145,690,863,086,627,670,724,294,411,134,499,669,627,335,131,786,528,
171,618,022,624,823,955,594,590,046,998,614,056,759,616,905,327,914,091,632,
875,851,170,440,664,178,855,030,434,955,831,640,236,946,674,518,764,317,036,
495,863,246,059,126,005,543,535,037,303,218,502,594,425,652,487,012,089,973,
784,295,191,611,411,284,673,073,958,100,242,070,594,882,562,305,027,000,848,
573,500,028,333,757,013,047,497,566,242,936,328,874,108,207,369,260,707,409,
764,883,937,809,607,070,151,819,598,386,081,231,146,058,299,153,191,536,372,
100,996,716,136,760,769,762,488,201,100,650,317,266,567,414,977,625,724,268,
323,341,886,193,933,643,374,503,263,316,284,336,574,502,021,255,628,189,570,
289,225,881,451,224,690,471,716,120,744,653,674,728,015,125,806,897,070,021,
084,297,878,599,003,770,137,496,950,509,988,437,997,890,730,174,067,181,661,
917,050,418,237,264,513,439,501,008,202,246,179,329,462,159,464,297,404,490,
924,048,398,506,020,076,298,482,517,764,443,541,356,489,754,203,252,224,197,
412,080,937,971,626,317,740,233,245,502,185,457,291,666,410,206,596,687,918,
537,947,938,383,517,918,486,647,941,447,112,415,338,642,830,066,470,147,655,
579,404,564,922,358,653,882,672,784,956,030,219,045,258,497,553,086,795,017,
634,328,790,502,999,331,147,557,572,492,792,491,299,964,782,315,438,556,176,
912,718,699,990,614,285,879,604,893,309,836,144,467,615,661,475,310,570,140,
544,527,391,581,029,984,466,465,928,540,051,344,730,421,755,070,015,610,496,
052,376,577,579,889,729,881,701,197,199,796,758,019,817,127,117,115,893,943,
658,202,163,218,267,985,003,167,920,162,650,637,136,398,594,250,384,014,669,
572,198,950,236,603,253,700,952,678,218,158,055,528,920,798,297,585,418,535,
368,594,641,779,675,061,878,629,303,645,945,761,213,583,544,552,224,379,012,
466,158,085,940,241,579,524,510,157,723,031,586,018,823,262,332,858,595,853,
441,216,034,732,330,848,408,750,907,972,634,836,447,352,166,402,078,256,508,
194,512,790,127,175,040,411,530,444,218,051,295,787,626,009,420,902,015,193,
034,473,282,645,405,087,813,054,896,834,659,758,832,180,863,853,530,771,342,
143,333,191,589,647,355,676,177,025,792,814,874,290,192,514,908,552,118,242,
579,870,296,887,743,307,296,243,825,640,451,225,791,842,757,262,271,058,983,
463,632,593,327,113,893,108,590,708,912,914,351,969,481,012,281,911,373,773,
622,221,142,243,985,442,951,215,811,920,031,620,129,390,724,052,814,296,283,
219,820,422,800,457,809,696,026,002,548,556,881,947,401,772,233,538,691,164,
318,327,668,883,900,189,884,817,990,552,226,475,433,708,504,939,889,928,346,
177,961,244,142,986,032,848,812,711,015,128,003,189,792,024,519,531,635,897,
215,518,942,503,322,596,242,531,219,783,824,245,136,735,333,268,840,521,319,
617,709,345,601,556,418,665,570,944,926,087,333,747,342,686,052,148,070,715,
232,633,565,327,578,358,559,728,951,305,614,574,514,520,811,565,298,655,800,
590,514,143,759,884,655,440,269,062,399,573,099,538,631,732,564,868,606,180,
475,417,975,492,061,463,885,122,109,934,938,710,370,848,035,233,340,121,189,
178,567,941,732,059,934,051,375,264,314,957,761,043,639,928,826,939,861,268,
213,356,049,628,072,159,863,961,932,927,409,531,229,689,707,034,900,710,171,
695,563,668,852,096,694,851,247,368,258,622,630,072,960,955,837,698,097,574,
080,223,247,127,688,635,992,136,567,256,660,028,939,006,488,258,632,619,777,
456,911,993,757,203,322,883,790,623,606,544,799,411,610,016,760,795,015,511,
118,105,956,336,209,858,689,403,351,983,299,530,679,231,839,575,134,133,160,
597,322,934,755,804,733,915,969,642,929,787,186,095,404,366,973,095,116,718,
949,293,311,078,269,717,728,100,759,466,307,916,732,258,519,515,970,142,771,
763,235,876,646,849,814,657,131,093,832,521,794,022,506,431,009,841,453,835,
951,956,517,359,337,645,790,706,554,135,063,885,686,866,817,901,825,082,894,
475,262,811,956,149,444,187,676,530,427,828,776,264,689,702,420,613,049,255,
633,960,148,711,030,692,470,105,306,063,775,959,605,076,771,669,849,192,573,
500,767,436,336,939,798,970,813,723,325,514,266,087,436,764,727,614,189,048,
674,941,393,102,325,409,328,475,679,514,759,248,641,722,385,177,396,926,064,
594,118,331,070,718,506,232,442,874,713,612,593,257,106,953,385,185,689,419,
145,951,237,605,011,392,874,408,530,585,270,849,746,062,501,540,419,140,788,
319,278,182,309,298,452,657,509,161,534,142,546,345,587,374,398,481,553,946,
874,270,620,223,196,189,879,432,755,719,843,065,927,256,500,898,251,974,964,
732,745,585,176,695,357,777,438,757,627,699,441,747,632,466,898,659,560,308,
083,117,534,090,899,330,759,084,268,294,729,800,282,640,680,346,243,925,512,
380,863,609,845,266,444,363,593,783,287,187,161,826,827,621,335,592,829,910,
714,326,775,993,459,339,473,919,350,351,578,768,482,223,052,872,645,209,264,
232,726,018,590,585,353,126,545,684,029,045,644,608,326,772,806,782,718,615,
920,068,006,422,457,142,616,687,035,442,892,165,762,030,446,184,931,901,432,
102,935,123,951,275,996,744,909,155,871,897,319,505,546,062,076,354,715,953,
362,313,384,362,044,718,793,433,980,143,914,200,847,492,433,272,880,037,572,
195,907,641,208,217,810,886,454,907,145,832,493,417,356,840,248,954,197,114,
019,840,942,268,942,859,774,368,474,900,155,410,137,647,275,318,256,373,101,
978,530,889,982,781,070,485,655,426,651,664,778,856,498,183,101,652,860,930,
477,776,275,375,473,791,202,313,801,909,254,060,183,784,049,011,821,589,417,
997,260,195,441,370,937,564,247,368,124,106,032,720,264,642,556,417,640,201,
989,461,592,731,981,427,626,417,153,434,671,310,862,374,414,761,518,430,536,
301,813,903,247,966,407,758,013,578,872,637,468,613,362,464,186,802,164,052,
679,526,342,217,017,570,621,172,041,036,788,035,285,315,052,814,514,005,422,
371,217,514,937,794,121,885,300,901,851,399,627,464,965,226,321,583,098,109,
272,010,642,960,091,740,996,198,922,323,776,026,957,911,733,834,723,059,491,
718,629,180,134,447,024,753,332,280,866,710,043,155,470,191,825,902,585,379,
769,278,751,680,671,860,554,813,704,747,083,386,804,667,234,418,106,726,819,
525,026,117,883,597,630,937,186,958,095,511,560,721,755,520,298,498,243,752,
528,296,657,066,790,086,107,135,413,419,267,205,731,839,426,874,403,042,441,
868,457,077,876,031,285,410,098,356,336,743,404,847,499,557,852,893,391,787,
044,319,050,071,400,778,438,149,260,733,417,145,109,414,162,369,244,008,812,
085,862,325,656,764,847,540,299,352,740,075,877,733,243,416,330,371,094,568,
507,784,770,216,111,101,908,511,047,101,551,637,087,047,423,718,122,720,883,
546,197,680,612,807,350,061,098,806,482,173,830,228,168,242,140,115,845,503,
645,512,748,741,448,838,003,847,557,944,345,030,546,579,052,698,472,205,840,
289,666,966,638,086,168,230,397,853,216,898,374,948,820,994,273,063,922,432,
990,892,637,883,991,723,989,775,045,152,518,744,322,251,089,345,082,392,786,
478,118,632,432,431,075,495,500,445,268,464,993,142,123,857,365,585,064,932,
674,362,174,357,186,144,105,883,407,393,967,185,112,131,410,956,489,550,800,
472,235,547,628,150,222,051,127,094,092,092,066,341,395,526,982,244,226,254,
109,614,739,526,462,905,054,038,310,733,899,288,282,255,728,187,589,031,166,
496,425,249,324,408,439,726,859,758,233,169,052,488,027,737,211,153,069,220,
000,901,289,203,171,827,232,847,223,707,567,841,482,246,575,269,211,856,352,
781,678,418,326,756,830,000,228,852,585,490,262,434,356,933,594,701,417,528,
815,005,563,216,778,329,137,633,944,158,189,928,258,129,264,075,092,025,927,
685,163,827,545,292,464,264,379,371,088,281,974,910,307,485,761,949,468,806,
244,204,892,203,005,724,341,910,547,192,829,200,034,219,251,906,188,131,639,
595,943,947,225,439,210,779,302,038,299,921,141,319,414,498,232,021,401,557,
524,794,730,075,391,191,550,699,025,832,495,048,551,171,057,108,454,507,585,
268,030,466,955,710,914,147,883,801,848,806,541,363,429,810,808,824,626,387,
357,621,780,051,850,415,029,164,286,482,967,050,711,440,257,312,614,232,107,
626,075,126,033,221,302,509,899,131,927,531,915,889,633,979,947,388,116,967,
238,434,338,530,043,343,388,713,813,502,431,595,882,981,349,782,969,096,918,
998,596,340,509,445,744,257,962,950,117,496,766,282,996,254,486,417,377,042,
035,604,191,350,662,894,294,380,968,535,976,037,222,343,142,786,749,364,467,
650,934,413,588,579,299,184,600,104,464,138,218,296,501,029,060,486,918,929,
984,028,586,718,803,819,261,870,794,861,619,048,511,327,757,895,966,705,227,
150,467,508,778,239,835,170,471,052,971,288,752,026,550,655,006,079,122,501,
240,348,690,500,798,059,334,108,662,236,987,152,967,489,592,973,262,811,987,
917,215,112,498,226,572,694,860,135,532,487,662,327,914,619,425,897,372,726,
146,389,002,790,698,611,622,429,438,867,671,726,211,276,466,643,668,255,319,
062,512,251,579,018,366,856,906,941,249,539,443,546,902,765,086,064,172,106,
208,743,817,202,104,392,408,789,165,215,781,865,886,561,971,213,649,315,943,
248,367,433,310,834,468,032,648,769,924,560,765,306,975,745,670,326,717,017,
708,634,203,499,412,452,165,228,387,213,269,384,033,682,140,675,004,324,257,
214,673,574,660,616,345,672,906,653,209,723,259,865,500,295,006,992,535,467,
905,053,699,994,898,866,319,961,902,627,200,999,102,957,758,643,131,754,700,
654,615,291,342,834,832,885,122,818,066,273,112,069,715,437,878,021,186,013,
379,421,207,915,191,281,241,439,777,357,985,219,025,630,738,896,060,657,412,
338,003,159,733,836,918,211,866,654,085,807,098,703,953,100,845,580,715,529,
210,071,253,350,687,801,340,570,037,199,505,751,660,507,506,168,225,247,577,
462,647,784,112,567,804,391,623,236,965,392,314,423,969,191,519,581,800,332,
526,478,816,615,257,265,689,083,017,754,452,579,967,717,186,597,335,065,062,
131,586,151,296,751,090,161,336,617,199,836,668,692,007,717,573,901,713,409,
105,418,776,611,145,899,230,003,549,641,455,388,895,112,591,194,048,562,718,
814,143,037,958,340,202,413,389,580,033,097,351,241,719,476,616,430,037,894,
085,362,112,087,628,819,820,867,940,319,469,463,703,534,035,279,607,390,990,
485,324,090,477,166,210,054,213,773,429,586,524,147,750,938,780,509,105,844,
505,932,392,029,113,179,429,321,456,106,959,691,767,732,174,023,451,694,984,
054,809,363,715,674,265,603,818,026,762,072,084,605,274,568,299,744,385,083,
203,141,513,080,958,664,043,988,538,165,423,031,236,533,912,437,528,336,023,
366,232,029,547,987,559,317,875,817,075,668,845,600,345,082,280,741,940,167,
671,007,680,436,738,475,895,035,550,394,003,215,198,677,542,849,695,657,236,
642,173,508,070,020,670,294,574,124,037,265,289,778,284,854,337,937,906,069,
606,822,596,507,123,137,782,790,428,636,913,105,104,981,397,615,511,835,236,
817,079,413,395,841,748,727,443,582,697,181,989,997,996,549,047,423,677,672,
442,095,463,638,630,178,186,358,469,666,171,658,419,299,851,559,149,972,777,
021,771,968,685,260,084,639,578,776,640,349,503,041,518,381,646,687,813,385,
488,864,264,288,966,846,647,537,759,034,910,925,683,156,460,697,105,360,769,
135,838,698,923,836,781,104,073,265,416,931,969,632,455,848,029,795,335,429,
896,022,009,557,329,515,578,803,933,940,535,300,772,815,193,130,058,646,178,
155,288,982,235,090,462,137,212,075,372,982,804,157,059,647,717,061,957,293,
437,515,466,657,887,649,692,339,750,220,643,136,978,100,428,114,031,722,447,
485,284,645,523,099,166,866,491,970,447,998,453,969,629,167,041,410,339,276,
936,275,307,985,222,692,717,934,734,090,889,599,911,384,036,214,524,647,322,
312,929,648,690,093,217,624,261,494,401,662,444,404,892,066,127,977,538,785,
793,693,716,691,091,479,030,993,435,319,302,339,201,188,702,207,370,414,623,
774,389,271,839,550,402,160,427,748,300,055,079,099,813,733,706,854,365,565,
806,692,013,418,114,795,867,824,566,235,890,918,452,669,392,781,326,295,940,
023,010,355,820,744,054,637,990,670,127,720,240,854,779,800,347,911,782,795,
588,875,775,104,186,931,100,671,062,161,526,856,102,788,762,994,069,677,750,
959,091,366,997,645,485,632,374,000,300,850,847,008,622,367,153,592,964,725,
219,535,638,497,116,535,582,233,678,843,132,839,190,200,845,674,957,998,373,
840,328,665,692,972,002,855,285,657,149,556,412,392,288,645,286,213,088,615,
308,775,873,602,114,977,460,121,450,147,931,448,245,712,290,379,355,245,536,
498,872,266,138,584,229,900,428,250,324,918,829,561,561,512,042,816,069,042,
646,342,395,055,820,892,277,521,828,007,147,223,709,042,934,366,806,609,535,
164,679,935,095,843,410,004,019,198,611,223,592,071,133,797,712,596,341,571,
238,568,970,419,830,627,715,133,548,903,909,848,092,694,146,510,533,987,724,
946,795,613,119,278,526,799,765,716,326,881,127,922,326,367,390,498,892,703,
569,196,531,797,526,570,256,345,725,088,619,798,371,260,899,971,350,398,512,
131,932,233,724,400,720,470,822,985,462,608,576,281,404,327,711,778,330,033,
764,483,983,908,912,998,996,764,552,478,346,120,911,623,557,499,524,497,151,
080,310,574,821,726,399,828,965,901,130,617,431,117,887,449,541,540,339,466,
729,731,582,963,295,146,321,298,472,041,325,351,825,299,070,518,991,422,488,
571,064,023,523,850,597,016,451,522,205,963,140,580,249,251,462,331,873,337,
863,903,889,377,924,239,327,741,706,034,146,098,277,662,147,411,362,461,369,
114,472,350,016,177,114,856,309,421,537,359,983,967,113,176,482,829,459,514,
541,973,062,817,905,468,346,742,461,499,409,588,582,680,706,503,122,741,715,
817,302,622,866,049,485,366,532,745,768,060,545,498,920,913,424,464,980,784,
322,268,554,442,719,060,499,085,767,702,028,145,908,656,365,343,042,554,063,
796,092,135,450,538,521,704,527,254,676,977,855,287,224,580,112,011,350,239,
725,678,830,772,744,522,458,388,232,729,704,761,037,866,800,073,879,463,790,
581,154,956,844,449,079,606,518,155,581,061,774,846,689,191,444,664,872,281,
196,400,255,811,108,325,653,149,566,114,940,296,159,489,481,534,172,459,375,
667,676,763,488,848,837,867,686,527,617,272,520,449,575,152,428,181,708,783,
856,003,290,024,827,333,537,959,400,996,864,235,548,307,347,305,655,696,229,
947,170,006,903,987,640,809,195,903,625,690,068,089,684,307,381,238,767,412,
066,135,854,550,343,138,710,359,052,266,332,896,913,893,009,401,290,578,596,
841,960,948,258,445,225,576,829,598,663,029,788,016,027,555,560,405,145,075,
594,048,429,003,279,369,710,374,888,309,077,523,605,641,795,159,445,214,943,
100,076,114,963,801,435,598,057,745,107,384,460,035,114,138,888,953,532,854,
950,606,405,317,932,439,739,680,311,533,224,861,786,964,687,641,103,288,031,
415,387,745,206,594,481,814,215,912,355,715,592,939,281,905,486,065,141,781,
429,076,701,579,033,107,344,307,427,776,597,527,332,939,866,449,327,933,211,
466,261,737,737,041,245,529,563,592,797,702,014,011,079,807,946,790,881,824,
895,332,073,328,553,411,956,445,008,142,746,636,685,811,672,151,646,452,953,
451,351,321,072,366,356,333,336,785,024,399,866,343,439,901,014,693,681,983,
530,439,830,306,874,232,867,050,490,945,385,035,718,679,251,563,991,704,196,
774,322,607,029,075,128,523,503,305,707,657,877,064,323,642,254,727,024,449,
125,952,486,388,853,958,834,099,257,284,787,616,585,926,201,095,294,013,207,
446,973,816,214,630,366,473,162,951,499,118,426,815,980,989,247,742,113,342,
399,914,095,134,944,073,181,245,756,801,662,482,724,521,345,409,806,802,963,
939,772,023,261,423,392,921,769,772,545,292,490,964,450,070,147,727,541,516,
685,734,819,169,420,823,401,309,303,463,848,953,339,186,303,348,763,534,321,
715,623,124,136,021,624,451,767,007,377,893,175,942,190,918,138,934,508,803,
116,317,090,952,317,680,546,139,996,722,103,822,487,331,107,990,212,202,912,
085,246,953,700,018,659,795,451,217,021,407,831,781,960,519,946,794,259,801,
053,078,268,708,035,659,510,782,193,151,610,842,025,865,135,430,342,012,822,
205,594,729,591,823,371,450,475,776,566,155,796,154,461,853,247,545,039,302,
360,158,320,554,768,419,902,172,775,346,796,898,697,775,692,556,649,030,322,
902,453,679,934,135,944,875,071,175,558,873,333,083,816,871,800,192,576,010,
372,060,180,455,014,624,921,412,970,090,099,120,715,775,001,916,111,610,866,
840,583,034,116,840,081,585,105,468,708,688,554,373,356,980,559,831,974,580,
097,960,857,789,420,421,023,638,841,354,234,512,159,851,949,323,426,296,281,
986,672,590,838,493,475,606,080,629,212,444,755,820,584,010,334,238,333,332,
502,122,499,056,654,952,660,541,800,977,221,511,189,546,951,699,967,056,789,
768,500,389,251,843,492,667,671,509,511,454,267,823,036,323,632,409,465,644,
562,770,327,867,793,448,502,264,010,019,942,732,737,703,677,411,708,623,882,
259,265,855,114,864,439,866,654,353,757,801,481,112,327,483,806,876,828,757,
261,701,748,641,915,149,786,219,977,533,391,671,290,856,217,784,381,509,507,
711,700,040,131,031,779,171,205,596,257,381,539,751,529,811,838,748,942,735,
048,302,755,355,769,505,771,677,105,718,313,358,606,962,647,636,829,337,482,
557,714,224,729,140,900,418,599,126,885,186,874,431,561,466,990,279,317,027,
901,915,943,743,952,962,198,031,911,203,429,595,728,303,553,963,692,624,778,
544,948,777,647,250,284,589,454,189,192,002,964,903,163,010,011,153,275,980,
215,136,387,536,595,574,186,622,797,043,332,163,406,476,074,198,473,620,791,
142,709,611,469,806,475,185,403,862,917,605,988,653,357,918,707,114,219,154,
775,128,435,335,726,083,715,982,736,757,368,792,190,124,286,595,262,086,790,
062,116,550,568,967,184,837,401,701,559,816,685,311,026,225,851,155,941,133,
216,023,366,354,703,379,726,161,561,754,672,899,481,628,162,443,645,222,182,
906,186,027,011,829,918,570,848,641,540,331,337,008,363,670,979,987,820,904,
527,298,621,399,110,801,644,988,007,245,965,855,149,667,558,637,284,285,116,
860,614,183,476,330,357,314,990,822,635,481,855,378,245,118,579,225,467,876,
386,277,786,918,054,385,115,567,439,645,732,972,452,205,774,124,467,197,064,
126,514,965,419,846,066,651,605,288,951,795,821,597,128,905,136,588,962,141,
311,971,162,593,976,220,679,019,031,862,740,930,310,346,639,085,247,367,986,
663,027,919,629,394,280,230,248,366,070,394,091,030,113,589,756,703,680,890,
581,140,769,304,433,416,156,569,905,680,958,938,227,709,259,693,962,425,267,
818,685,803,559,358,074,738,354,618,303,668,656,210,007,255,468,022,403,761,
068,017,750,038,714,888,428,322,498,556,401,298,526,002,741,150,585,196,236,
034,429,226,355,772,589,246,007,140,731,053,596,354,036,402,963,858,181,212,
154,604,073,335,115,494,275,447,383,359,789,277,663,562,254,587,844,944,269,
887,794,865,748,927,712,297,220,032,646,423,272,755,664,203,943,473,578,386,
331,574,516,809,304,158,644,619,732,594,090,099,551,157,738,666,416,555,736,
066,823,802,233,879,443,741,885,833,327,848,195,714,617,462,586,741,111,999,
075,427,547,116,115,606,469,310,488,110,957,811,023,620,675,740,519,352,749,
508,382,737,084,463,702,089,564,061,247,913,875,910,422,375,740,983,695,980,
326,288,336,213,590,306,435,422,917,482,380,655,163,529,261,843,934,703,358,
692,767,233,314,683,218,326,257,533,174,308,494,880,446,202,082,322,974,534,
334,762,721,436,057,241,978,872,535,114,361,399,210,184,594,954,989,710,890,
872,473,978,570,006,566,978,512,457,600,052,147,222,897,952,105,495,330,633,
499,742,360,491,150,414,543,290,522,432,366,325,827,977,237,130,194,360,465,
236,680,463,994,950,315,546,516,455,163,868,448,810,919,689,095,480,772,130,
506,288,172,558,272,194,830,472,450,279,383,416,443,715,588,563,641,575,942,
146,769,001,151,791,797,693,043,037,641,256,227,860,565,686,613,964,732,430,
964,204,182,352,151,610,428,401,022,909,277,862,691,710,461,114,613,014,613,
948,727,928,987,835,279,336,690,116,791,636,835,087,191,256,285,805,851,145,
878,909,948,812,083,174,628,800,020,823,898,426,544,679,984,388,497,906,360,
889,017,956,981,467,281,752,145,257,086,218,912,208,367,008,102,669,372,580,
346,168,115,248,698,438,440,180,918,151,244,995,794,771,535,960,604,700,263,
200,367,763,357,005,914,091,210,272,267,408,594,110,042,266,588,424,008,270,
111,393,139,674,590,233,270,626,403,950,795,119,070,597,987,789,627,931,398,
109,962,091,837,452,868,055,938,159,103,220,027,394,565,573,032,147,036,048,
138,798,759,873,288,146,109,435,017,816,543,107,309,048,722,599,763,932,474,
661,114,896,427,065,721,581,778,618,817,814,146,146,957,920,190,342,388,363,
582,502,020,040,450,752,018,500,084,427,977,447,066,015,032,021,730,311,828,
442,287,679,206,750,563,929,688,428,118,124,940,785,663,029,720,587,249,829,
338,184,878,607,022,070,104,664,070,889,778,792,083,013,795,581,767,381,842,
528,808,769,844,689,732,610,533,444,628,072,984,395,973,242,946,817,566,705,
016,696,763,846,041,195,387,934,830,302,625,074,296,609,577,389,219,192,800,
777,554,632,191,074,511,005,217,706,533,351,061,869,231,402,449,791,524,556,
601,067,900,470,917,428,074,361,871,008,926,299,346,652,182,739,425,946,116,
267,622,195,365,004,064,991,067,809,538,782,824,197,401,076,496,188,166,904,
122,965,796,564,249,453,922,442,004,114,944,169,230,644,994,998,960,827,077,
056,140,866,451,927,357,082,752,255,637,828,777,120,736,696,286,830,686,148,
239,180,857,770,318,760,634,293,814,836,550,977,917,022,542,268,364,403,653,
930,717,908,039,926,345,267,950,168,015,123,885,576,196,718,776,238,768,875,
537,782,356,696,756,759,235,832,727,823,640,160,242,685,916,350,414,549,840,
444,296,448,431,183,413,752,765,260,922,602,707,312,227,733,379,538,665,127,
548,268,017,512,214,277,181,410,917,640,073,316,981,717,145,942,270,856,409,
291,513,495,724,655,130,023,768,382,013,122,497,632,285,557,038,574,791,296,
294,581,854,006,908,670,648,384,381,875,267,316,804,368,999,031,787,844,575,
008,157,658,647,554,803,018,804,943,517,266,646,589,549,275,484,412,674,546,
069,736,660,512,009,833,143,422,632,222,824,479,481,990,233,576,808,481,171,
769,724,537,883,832,712,315,654,371,038,731,042,709,396,163,198,324,247,472,
661,002,928,814,984,703,364,118,071,454,454,352,974,466,354,736,239,064,357,
207,328,049,062,403,911,400,101,250,921,306,707,385,101,545,531,750,730,292,
092,843,827,287,894,016,456,096,875,919,585,210,938,319,561,135,033,723,533,
593,886,944,543,709,338,785,038,165,578,898,658,360,378,783,521,664,316,320,
033,798,483,113,451,474,151,584,428,888,803,892,554,225,906,668,104,662,277,
899,050,130,648,912,184,508,098,627,550,290,197,607,651,578,429,543,938,305,
996,522,554,515,812,017,311,696,015,710,786,013,906,929,385,432,537,679,340,
167,729,564,501,068,078,205,957,420,238,210,456,005,588,676,529,558,240,256,
170,557,011,619,628,603,096,074,067,080,117,806,186,947,002,779,583,571,821,
836,281,376,871,051,359,055,938,067,762,211,310,501,931,201,135,566,033,627,
247,814,105,473,605,108,883,413,319,415,433,385,018,834,553,454,802,327,646,
294,292,411,330,684,780,505,636,830,804,201,477,509,772,462,010,104,622,847,
860,973,004,209,024,102,634,757,655,445,134,785,032,482,692,764,824,740,018,
704,956,614,927,612,681,945,800,082,539,870,284,743,846,520,733,683,214,438,
020,410,443,362,257,710,930,254,432,777,072,646,365,543,280,032,193,115,633,
222,184,113,872,573,823,739,275,156,510,063,171,916,281,311,837,405,931,923,
974,291,780,231,350,743,281,419,104,994,608,996,109,341,154,194,891,828,963,
595,593,104,292,055,701,485,200,180,995,192,115,910,874,436,316,893,500,176,
747,192,601,056,879,773,730,833,205,948,241,379,183,844,318,609,904,861,607,
018,771,010,679,350,147,179,763,364,068,367,990,838,672,717,851,688,216,064,
837,719,294,779,072,489,702,150,788,326,230,692,622,683,584,395,809,433,703,
468,878,002,444,094,546,192,414,596,598,291,083,230,881,724,660,272,108,046,
807,415,110,162,386,590,843,329,333,385,311,473,809,856,134,282,858,256,797,
891,153,364,656,760,125,412,545,332,969,292,346,494,760,618,411,028,439,379,
083,552,602,497,026,395,855,719,781,401,105,599,853,915,930,651,369,694,451,
678,063,406,430,941,257,879,033,733,993,612,097,381,305,748,915,213,390,274,
543,327,081,757,490,074,216,274,299,794,692,057,247,495,557,913,456,566,849,
922,787,527,325,125,178,341,577,342,071,419,419,383,471,323,342,652,715,778,
342,989,835,640,324,014,457,568,106,291,756,339,013,438,920,062,964,559,931,
261,074,671,028,863,098,010,220,625,304,809,891,774,791,418,226,991,681,658,
032,858,296,352,068,608,882,011,714,050,053,704,779,518,715,484,957,068,745,
295,264,276,791,667,736,211,104,791,537,033,838,259,288,221,887,033,785,748,
565,835,311,538,282,533,991,548,497,555,350,597,996,532,334,999,742,240,860,
635,623,629,954,714,680,713,546,209,053,463,009,307,926,275,765,850,592,935,
901,718,912,114,869,787,533,057,088,112,975,848,691,165,753,507,601,928,518,
763,089,889,520,991,206,732,548,566,945,027,681,781,648,265,062,787,003,896,
233,153,332,346,497,291,000,827,089,582,407,694,414,680,544,709,677,731,371,
899,895,791,585,876,237,339,864,539,731,234,535,097,985,065,718,971,033,737,
251,244,340,960,874,747,570,595,477,053,587,460,475,939,348,886,189,024,084,
791,059,661,613,352,912,950,684,086,847,245,447,030,535,998,413,961,115,584,
031,078,688,508,947,291,364,079,009,712,007,916,183,996,053,955,396,809,352,
715,921,516,133,440,736,335,336,363,331,356,561,304,283,968,217,140,305,395,
100,345,025,172,881,604,805,000,812,091,783,228,449,642,880,776,606,251,120,
369,096,609,902,775,825,496,177,976,170,388,187,819,286,312,068,023,338,306,
831,196,256,658,244,329,410,439,148,331,128,153,556,771,047,664,169,745,115,
586,265,070,354,781,848,062,556,469,513,179,291,255,636,553,132,892,208,378,
972,303,397,739,564,820,321,258,226,252,692,437,288,026,591,240,106,803,094,
666,021,472,924,916,732,095,549,204,359,932,019,388,511,859,814,795,184,756,
811,436,794,584,041,166,100,987,951,502,635,456,891,955,400,160,842,742,560,
488,382,685,923,319,365,539,844,323,116,781,524,926,514,530,483,022,389,678,
661,019,612,104,660,158,503,972,289,815,548,839,065,785,649,873,955,242,926,
242,995,118,881,966,586,231,581,748,813,114,207,955,470,728,570,025,018,351,
434,470,641,518,225,318,484,609,819,610,342,366,922,339,718,321,132,844,703,
223,844,054,036,646,100,268,597,226,440,400,382,169,995,194,118,006,129,158,
459,011,522,605,620,219,736,051,761,129,198,956,490,908,704,693,606,222,277,
924,863,636,367,778,452,662,714,327,601,378,674,471,880,477,561,000,053,494,
740,161,315,328,504,846,621,327,100,135,605,752,990,532,512,972,102,899,627,
207,101,766,297,615,602,868,072,728,351,927,298,083,858,530,627,021,453,791,
978,556,101,163,743,139,072,297,821,062,676,903,018,376,878,149,175,641,747,
902,200,196,943,166,549,446,013,699,691,961,757,168,713,022,514,127,157,225,
355,770,262,024,945,097,123,156,848,923,160,937,465,409,765,572,008,635,578,
406,117,676,190,839,135,259,720,963,247,848,788,062,495,301,655,336,248,812,
375,701,319,994,752,391,915,492,122,483,893,484,580,797,903,873,575,019,795,
218,313,095,757,025,074,934,622,018,307,879,739,541,879,386,454,682,236,560,
864,091,003,747,313,359,280,571,736,587,241,501,123,633,592,302,194,626,874,
790,518,600,998,406,251,149,185,090,573,243,596,169,953,792,731,066,593,378,
790,460,036,806,701,097,842,919,506,196,822,092,953,907,055,429,911,479,966,
313,174,080,774,165,575,029,895,859,982,191,296,677,879,149,965,668,951,861,
635,544,737,582,018,478,769,994,538,256,338,740,499,846,133,422,165,474,230,
341,645,368,468,703,809,250,904,831,143,037,783,296,361,931,627,723,969,998,
688,201,119,011,378,860,657,604,501,725,925,581,166,942,329,364,841,730,215,
230,646,398,837,847,342,278,532,312,906,140,854,743,793,656,759,073,254,580,
882,435,060,842,845,923,563,003,067,398,618,468,146,222,069,723,401,834,447,
619,897,103,334,485,947,073,878,235,454,490,145,519,239,921,798,343,264,064,
459,693,079,758,679,257,658,511,923,377,533,867,738,286,813,337,311,470,078,
568,346,718,371,436,545,696,999,447,891,219,543,256,500,832,393,238,809,044,
147,959,497,289,148,284,799,349,920,298,745,456,986,931,271,480,652,006,408,
492,557,311,808,551,556,827,286,117,651,240,757,144,541,798,178,643,717,902,
987,200,398,562,187,037,157,856,715,616,229,283,762,002,001,204,755,806,756,
110,246,122,854,017,348,094,186,990,141,768,009,149,538,130,420,743,538,982,
440,586,463,038,286,272,218,610,702,562,750,558,435,764,739,493,850,382,157,
441,010,693,180,929,949,841,453,295,551,365,910,340,940,088,215,994,521,675,
477,740,342,095,277,257,019,847,901,736,558,227,854,945,863,444,928,017,834,
756,008,802,929,075,061,298,372,007,839,084,861,211,546,077,924,741,836,390,
038,082,018,724,100,332,712,427,814,495,115,760,355,732,750,605,278,608,695,
277,380,890,503,724,217,152,624,410,118,048,171,925,391,848,001,282,590,237,
868,111,744,657,438,779,933,873,258,377,425,021,653,492,838,670,375,926,064,
668,230,131,862,788,688,468,802,273,356,885,521,302,266,283,218,194,490,122,
170,599,536,027,996,694,358,896,400,231,635,393,721,704,066,178,844,939,789,
342,511,207,989,855,148,152,305,503,948,008,284,549,611,978,559,573,044,808,
644,984,926,468,628,241,442,075,411,161,311,789,929,157,232,588,454,264,075,
390,403,737,719,189,438,205,016,416,405,009,382,539,553,636,262,899,277,336,
925,688,371,849,832,335,748,157,499,918,989,402,871,100,123,354,038,643,192,
087,778,633,053,256,953,896,196,654,149,900,766,009,653,000,082,605,731,312,
259,934,523,618,582,917,055,008,095,306,864,147,252,378,509,738,801,288,927,
649,394,389,379,336,055,396,937,086,366,581,963,854,511,679,785,654,036,447,
071,954,156,393,322,821,615,369,305,337,010,569,740,972,101,686,155,383,301,
393,018,107,864,915,746,742,956,177,545,062,704,536,728,870,986,221,580,147,
899,445,450,606,531,523,261,129,431,966,001,279,907,195,228,059,697,783,778,
569,880,385,671,117,146,547,663,448,663,901,234,271,832,175,634,521,811,677,
155,957,684,739,862,786,483,027,923,942,376,556,032,222,868,399,204,552,515,
127,977,345,326,161,703,412,302,999,359,946,093,707,672,136,601,452,533,873,
898,405,638,324,220,408,072,019,034,058,288,405,441,151,968,343,441,609,448,
178,366,859,129,598,011,892,522,803,215,762,368,724,087,374,450,963,411,088,
996,928,493,872,314,356,958,573,489,629,704,380,292,116,127,830,912,141,583,
729,973,032,536,947,660,337,572,074,282,160,772,108,217,636,810,338,263,387,
647,160,656,156,153,231,197,750,735,180,026,481,112,235,659,490,030,922,460,
020,598,120,746,165,828,941,198,629,314,768,419,980,547,300,660,481,530,177,
349,883,339,126,876,855,760,087,166,494,100,531,761,263,691,460,911,457,612,
773,019,054,475,048,281,093,046,630,176,891,143,822,074,588,427,843,957,126,
777,740,748,531,357,862,906,973,812,200,057,683,347,768,899,988,195,488,262,
537,015,521,700,473,779,060,398,918,453,813,409,994,494,073,179,553,167,314,
735,928,897,110,305,866,779,562,848,961,228,370,343,637,926,015,409,341,281,
076,994,548,649,378,436,223,955,318,971,370,759,543,683,639,274,392,819,533,
734,315,057,715,837,073,257,792,677,033,731,084,911,532,297,318,527,437,051,
249,934,443,928,286,218,437,609,234,373,514,889,772,507,697,406,336,337,815,
287,455,424,806,711,951,998,791,530,693,065,034,601,747,866,843,200,696,266,
395,525,779,181,109,075,663,841,721,209,059,704,327,208,702,085,960,629,597,
035,694,316,792,744,007,589,295,411,637,614,573,858,849,641,583,996,871,895,
454,531,138,234,436,431,069,742,179,779,398,621,034,122,383,655,158,193,727,
245,827,308,595,431,171,736,153,049,819,180,754,876,019,451,117,920,151,417,
656,865,982,266,983,212,359,816,076,701,997,510,932,094,606,535,620,077,552,
093,910,360,257,875,252,103,597,129,589,651,287,633,403,289,173,458,027,310,
615,976,889,710,755,624,746,714,386,477,183,331,848,778,695,884,499,038,072,
292,922,052,053,726,568,438,333,684,100,812,670,214,661,564,393,060,260,422,
328,546,005,630,315,970,234,730,772,667,397,833,135,272,495,509,128,038,180,
601,279,492,236,177,238,717,783,748,843,268,354,762,382,585,230,806,939,119,
485,004,430,244,353,773,605,313,088,413,315,779,290,156,359,562,446,068,514,
799,734,340,461,881,064,395,499,483,742,872,704,816,926,532,315,573,062,767,
748,865,490,920,959,901,450,444,639,413,534,634,618,035,015,409,029,462,870,
235,079,173,268,198,595,568,329,758,352,959,832,816,750,041,437,007,877,591,
785,419,703,102,430,332,174,992,948,854,004,200,784,736,467,687,148,824,756,
620,003,902,731,283,425,023,200,521,601,930,250,609,652,057,787,677,414,569,
412,766,453,644,296,486,964,045,755,133,698,065,444,408,816,192,170,727,673,
397,665,385,333,143,675,406,749,625,305,713,417,123,833,537,645,288,090,048,
251,412,600,985,223,790,623,769,666,042,702,160,336,332,260,078,726,212,023,
685,047,924,991,111,089,553,427,476,877,977,008,989,317,311,851,056,530,074,
929,760,791,177,124,306,960,858,778,142,953,659,129,226,976,107,112,212,838,
453,726,103,964,905,845,445,596,802,139,689,586,375,496,725,908,066,945,604,
345,692,051,063,914,905,153,978,404,722,257,923,842,698,128,801,077,532,660,
581,934,718,695,946,997,698,075,495,366,451,209,866,441,921,803,250,320,103,
587,173,289,462,477,583,245,101,159,960,212,763,888,979,019,130,290,898,225,
840,720,349,059,153,566,042,513,423,333,209,951,350,934,284,768,552,650,691,
866,665,647,665,498,807,279,900,111,845,721,307,226,629,969,616,968,420,112,
843,602,223,302,304,487,095,825,437,446,163,982,807,874,212,613,361,927,262,
350,049,904,943,205,572,259,747,839,416,820,178,735,282,355,117,973,165,056,
998,492,690,990,699,262,159,217,399,789,374,965,001,373,296,540,572,929,636,
116,354,269,350,455,344,487,012,890,784,711,771,218,565,971,246,278,729,385,
869,559,935,527,349,904,715,824,897,253,488,605,677,060,905,274,352,309,981,
720,289,958,494,558,498,203,837,939,967,856,331,545,875,988,098,357,382,346,
348,118,947,777,403,502,802,078,734,417,499,068,355,891,184,125,585,326,314,
420,932,618,955,866,124,078,070,130,603,593,122,993,522,255,607,066,471,888,
472,008,108,262,488,569,386,901,040,600,036,141,949,259,017,803,000,455,556,
120,249,916,084,027,103,712,159,221,197,548,537,086,078,146,042,815,467,693,
703,562,159,803,758,391,365,147,912,835,976,660,746,027,287,094,910,744,184,
488,975,302,994,437,905,021,344,846,624,721,196,917,966,230,921,699,439,706,
741,998,696,752,611,430,966,675,667,253,778,167,840,229,438,891,002,944,395,
542,595,042,271,455,143,660,194,634,894,174,601,469,552,550,645,119,507,838,
668,798,794,563,111,213,965,536,225,563,217,978,234,668,805,340,737,421,633,
280,487,457,571,608,093,817,173,628,791,924,988,741,917,914,541,969,871,117,
462,499,365,153,215,602,580,560,663,579,187,650,142,733,078,872,251,865,390,
418,536,195,602,517,156,879,117,804,491,882,310,523,024,570,904,465,380,425,
858,886,412,414,034,577,751,927,162,165,948,510,302,272,740,178,100,824,156,
688,391,668,582,564,645,611,121,588,686,952,428,226,191,338,162,128,956,758,
356,660,965,615,272,655,331,634,890,094,518,378,647,199,037,826,060,939,888,
053,715,191,604,879,342,389,052,662,557,189,936,355,594,619,019,321,524,872,
031,949,304,692,662,481,303,795,396,637,331,417,437,468,586,416,917,172,938,
167,333,940,231,548,239,499,224,791,305,896,179,865,488,172,365,072,836,587,
607,587,386,725,079,417,599,393,716,956,872,640,224,137,777,129,826,223,522,
553,362,665,353,984,669,613,573,257,601,756,200,742,633,976,307,738,835,309,
364,668,275,982,122,983,413,331,381,524,510,515,589,234,502,239,485,408,657,
359,844,767,284,265,563,756,434,898,014,667,034,226,276,733,159,480,095,014,
741,716,058,478,652,972,228,109,453,192,869,973,080,815,295,519,096,114,290,
134,946,010,845,283,187,458,720,780,401,972,371,589,839,700,592,694,659,878,
415,583,341,373,413,785,598,019,046,658,597,470,919,901,009,799,814,257,755,
594,130,919,900,619,997,227,879,142,259,093,293,559,534,827,850,716,724,614,
077,913,924,416,470,750,028,584,433,477,998,399,825,669,520,616,603,388,065,
043,738,119,924,960,364,091,715,518,902,728,945,355,973,304,484,113,795,670,
578,825,079,288,906,882,617,713,137,007,441,582,536,047,741,836,539,560,362,
035,765,080,536,373,087,918,532,567,981,730,015,481,423,682,047,600,793,705,
461,554,173,046,156,717,539,968,410,903,041,490,718,137,889,697,631,322,026,
805,947,666,269,340,329,662,790,154,240,029,127,327,513,085,138,559,560,353,
764,042,294,812,601,312,936,762,915,454,691,676,899,591,409,968,076,726,540,
588,427,301,154,460,621,978,431,962,407,189,566,654,604,071,113,016,371,526,
041,941,945,108,868,006,290,046,942,441,525,019,088,007,140,712,382,409,891,
103,057,233,376,765,936,810,004,341,399,853,120,802,061,699,690,270,337,027,
077,874,765,915,998,898,826,099,644,309,569,253,069,163,254,789,384,940,551,
260,335,423,254,567,935,540,661,108,006,166,818,267,246,118,671,617,960,679,
482,960,771,905,997,386,776,377,512,889,076,171,068,607,186,742,009,727,784,
494,692,219,305,793,337,856,462,724,971,282,865,195,595,943,995,584,364,812,
151,727,163,349,512,175,403,289,354,266,134,466,367,793,440,078,053,465,029,
481,127,995,923,308,339,325,698,008,980,772,675,760,947,759,836,882,474,293,
046,180,190,152,104,607,257,388,446,633,364,938,975,926,735,654,421,409,325,
722,821,887,015,086,561,077,205,653,087,087,167,886,554,468,077,928,798,724,
741,013,829,967,114,634,628,187,181,854,895,543,782,622,493,538,317,478,445,
108,013,790,445,882,958,507,356,598,757,028,925,044,914,466,762,052,215,029,
432,711,813,046,109,203,136,058,149,812,198,349,706,407,249,014,452,005,996,
137,257,419,958,077,108,973,209,753,084,311,959,017,597,333,619,260,980,016,
863,039,223,101,335,935,199,202,846,558,920,690,689,495,210,202,210,180,457,
804,412,211,722,520,723,766,203,309,474,728,717,164,397,066,272,836,799,659,
196,545,352,052,501,687,361,978,135,849,073,116,285,183,033,043,410,856,667,
246,042,426,681,885,431,379,730,738,927,535,164,967,799,470,020,885,957,053,
299,547,078,780,164,537,428,371,902,734,439,303,188,743,017,290,216,237,557,
009,858,677,847,189,800,301,624,660,498,860,126,871,413,164,883,751,661,604,
129,651,137,563,255,562,406,652,688,784,757,501,589,419,740,623,092,830,377,
900,301,156,410,775,417,478,368,383,498,233,820,864,000,131,905,473,371,156,
233,283,013,670,716,902,227,701,192,580,551,908,088,992,516,309,610,992,965,
815,891,561,031,666,412,451,945,792,856,638,027,474,394,626,220,010,256,901,
131,437,892,759,917,205,469,491,291,566,647,340,353,812,322,980,429,139,417,
042,170,713,148,571,774,221,722,243,355,640,726,610,894,192,963,066,135,315,
681,706,987,000,634,510,021,990,871,191,777,373,679,663,041,862,870,668,131,
429,365,147,943,437,274,927,916,392,566,514,534,109,950,271,080,144,742,561,
416,382,921,780,693,520,036,435,273,533,060,189,590,544,181,659,847,315,179,
184,789,046,055,314,714,955,946,577,339,960,822,165,440,431,413,431,084,671,
686,549,837,953,732,641,079,108,735,518,569,748,517,098,113,116,295,842,867,
349,463,474,127,041,067,921,934,455,945,691,142,524,336,483,216,220,637,876,
329,507,575,747,216,389,591,070,277,560,327,889,995,839,686,506,415,966,882,
999,648,049,162,964,532,164,692,708,878,823,784,756,682,856,198,247,403,541,
754,440,016,676,799,902,648,270,354,123,001,737,377,072,354,354,125,402,983,
839,340,932,774,183,611,252,852,958,577,412,865,892,953,481,165,229,114,672,
085,607,548,362,364,604,210,841,206,533,233,206,001,930,316,748,418,554,902,
948,665,539,856,412,802,481,925,260,737,317,682,457,739,741,392,633,519,762,
876,086,795,306,926,568,920,441,452,486,317,566,553,900,089,791,801,984,474,
828,625,743,389,892,248,502,966,410,766,163,565,338,855,344,283,587,893,186,
362,377,699,387,496,336,915,241,426,448,985,749,962,914,021,781,277,547,889,
888,503,038,883,249,875,337,009,283,876,224,207,709,110,479,517,326,138,287,
992,757,809,269,470,254,552,218,425,115,011,354,841,803,688,804,553,788,795,
658,723,649,809,675,509,077,623,448,567,972,975,698,854,120,584,648,664,797,
946,503,127,722,739,876,197,663,349,811,726,653,213,618,378,117,396,041,506,
711,217,656,954,897,113,345,614,375,458,087,577,337,344,963,526,920,762,091,
713,102,000,108,711,105,200,146,572,804,820,275,522,995,334,606,141,868,896,
110,186,654,761,599,624,172,621,683,145,875,476,265,162,311,784,313,284,154,
893,754,081,349,357,917,967,605,641,555,069,675,006,658,011,569,810,939,770,
681,046,917,538,636,198,530,479,484,509,571,866,219,784,124,977,759,829,198,
695,373,819,021,003,934,513,813,002,693,073,078,919,804,477,167,682,962,216,
977,827,869,842,831,708,812,358,199,584,885,949,532,274,143,021,843,359,675,
605,841,603,187,018,068,081,538,357,901,381,510,393,007,872,655,635,417,701,
357,186,144,085,112,816,516,985,658,748,860,096,750,118,282,003,104,019,371,
133,509,820,548,533,104,162,722,493,436,721,742,555,161,357,689,205,533,349,
810,733,443,695,436,611,728,171,393,947,149,640,988,178,881,849,903,306,698,
990,402,296,128,977,390,949,187,199,295,899,409,212,193,161,611,253,004,567,
228,641,182,970,472,421,460,172,962,623,710,525,500,790,442,953,947,167,089,
434,101,756,914,954,700,152,225,094,983,173,523,793,832,950,820,854,658,047,
624,426,414,235,229,691,793,251,882,384,090,746,912,904,910,038,442,070,003,
684,057,424,802,254,046,554,899,007,204,660,451,468,821,564,763,724,265,714,
618,000,693,454,844,149,388,420,575,785,515,906,827,213,341,620,705,587,511,
753,928,489,998,845,585,685,958,178,932,774,770,143,573,141,593,126,452,588,
402,545,939,275,158,373,884,257,597,788,313,505,720,771,835,337,808,067,774,
100,600,589,245,314,154,042,392,468,658,030,158,709,393,107,973,573,970,252,
891,102,984,447,387,914,554,040,645,465,733,579,337,835,044,251,874,764,673,
631,800,897,858,856,827,312,050,304,392,184,329,512,079,156,569,987,258,946,
783,496,497,661,485,110,237,809,866,040,468,595,099,010,856,775,268,597,911,
891,275,478,980,494,313,341,282,723,384,776,892,210,561,298,660,737,365,177,
976,610,119,051,267,463,126,831,893,828,528,270,934,753,232,141,192,418,071,
291,758,788,278,585,321,708,895,272,009,070,539,470,352,489,346,682,603,143,
021,075,529,119,445,214,519,005,816,096,679,447,695,174,300,476,873,973,135,
024,022,041,535,004,233,970,022,359,919,691,831,224,904,407,719,935,282,460,
791,859,084,500,688,832,110,172,507,776,390,280,224,768,107,377,939,731,064,
065,227,087,109,876,848,365,889,247,858,565,488,034,359,802,965,157,342,628,
098,644,271,623,488,584,188,048,157,218,434,844,222,365,902,110,575,806,917,
915,006,312,829,632,100,093,584,827,934,522,351,484,157,326,638,215,496,082,
780,364,437,121,221,316,364,456,157,761,919,593,560,455,434,210,633,438,642,
215,392,854,948,611,124,917,499,079,007,655,333,161,632,649,477,183,780,763,
542,832,594,998,938,004,569,781,953,586,655,457,559,523,913,898,845,596,728,
692,192,876,753,873,744,837,549,745,466,192,267,645,511,684,812,305,715,688,
300,004,262,722,061,833,595,700,276,953,583,745,059,508,743,464,801,064,879,
952,293,732,936,422,634,315,311,808,080,973,364,120,419,946,180,627,837,917,
226,443,487,550,158,359,038,053,527,364,375,846,168,493,688,831,063,775,649,
683,225,901,397,519,500,157,089,189,025,429,710,539,032,639,523,816,772,894,
692,846,570,415,940,111,498,280,593,877,047,621,400,439,855,868,369,214,015,
567,008,583,906,588,493,621,158,315,077,357,846,968,444,168,346,145,534,758,
459,623,168,530,995,032,347,477,842,511,535,311,870,035,874,019,714,948,568,
944,051,213,897,149,776,666,316,906,759,588,357,578,917,562,174,652,717,946,
088,689,938,792,139,043,852,728,512,694,365,180,178,946,305,498,581,112,883,
030,164,541,067,714,192,770,849,671,361,855,926,895,721,150,485,436,841,807,
054,412,934,548,042,867,367,199,882,628,374,832,242,451,935,565,650,842,300,
291,531,293,554,466,234,548,501,447,148,369,271,154,492,058,671,324,061,053,
052,189,479,341,386,735,012,465,021,310,859,103,460,349,563,069,963,415,861,
822,372,464,737,034,346,997,342,941,696,013,855,160,066,108,917,981,255,160,
092,571,040,120,559,947,641,986,780,678,842,770,821,572,611,911,827,256,569,
710,124,876,905,587,747,756,080,707,633,155,585,939,493,614,856,071,374,842,
750,809,931,882,413,723,394,412,730,638,114,809,487,879,687,277,635,423,646,
881,849,286,625,291,674,421,554,479,661,406,834,851,748,464,597,753,603,908,
869,012,713,471,398,842,236,437,954,875,193,736,676,747,999,242,774,784,028,
090,380,914,415,245,847,261,983,629,098,805,037,588,105,694,959,057,398,761,
176,959,701,392,667,938,546,966,214,112,246,141,020,222,234,237,824,940,973,
040,993,225,618,407,725,620,423,558,256,714,596,840,222,552,493,245,868,186,
541,202,840,230,626,527,783,936,711,153,348,438,329,608,688,856,578,125,516,
325,179,530,548,566,429,016,645,189,794,554,718,277,178,898,588,299,640,476,
020,015,301,260,416,288,757,685,103,741,353,747,947,347,575,885,673,324,653,
002,853,521,353,866,783,703,987,678,202,875,630,159,263,291,453,628,405,121,
025,922,815,919,653,503,982,556,197,531,551,687,800,370,139,780,872,794,890,
834,165,774,002,482,205,696,297,821,687,750,880,928,767,355,171,223,113,694,
597,943,239,938,894,410,005,757,373,982,577,483,855,231,448,944,058,306,739,
930,417,188,736,701,892,699,122,065,586,838,656,333,144,801,978,467,013,682,
152,014,427,553,432,515,926,572,486,751,868,401,065,965,565,963,115,113,189,
599,554,810,012,278,200,575,995,934,245,339,140,096,283,977,385,657,035,784,
112,490,079,928,855,035,726,577,663,479,270,131,436,459,192,122,913,217,152,
304,397,112,324,240,831,900,173,855,257,035,682,039,682,467,399,374,570,464,
251,082,155,242,367,408,194,338,202,087,964,929,147,225,717,636,057,100,842,
272,254,991,928,496,877,297,247,248,290,093,957,599,136,459,847,918,943,762,
683,645,932,638,065,491,086,318,742,642,358,384,840,597,925,167,456,999,679,
949,023,255,398,601,483,827,677,467,789,172,072,196,649,906,046,826,407,256,
685,033,635,851,534,416,842,667,838,549,278,252,371,645,952,251,858,334,186,
533,915,503,245,418,223,734,580,001,421,985,609,320,710,112,091,984,251,193,
064,500,396,638,562,408,093,471,082,436,103,709,867,148,109,400,723,737,579,
498,782,414,660,613,560,838,660,528,109,464,759,113,620,172,017,671,158,748,
397,972,081,046,573,369,742,266,216,753,496,097,297,454,799,953,920,939,542,
618,232,067,271,437,796,833,830,302,526,167,800,607,061,702,112,605,795,616,
787,511,294,797,860,563,519,814,517,130,173,749,484,414,291,503,872,961,732,
296,624,788,708,365,984,392,553,889,173,913,985,207,117,959,169,726,847,376,
076,917,526,055,520,878,537,584,631,000,493,408,915,510,366,797,285,068,976,
583,732,748,926,984,108,436,277,334,431,227,982,968,480,460,105,091,386,792,
929,126,747,540,480,410,564,887,137,920,122,514,055,618,377,925,753,377,584,
733,740,950,196,448,473,439,594,980,794,136,186,439,567,879,061,400,078,452,
938,510,763,548,220,658,494,804,192,446,684,214,444,519,130,567,470,186,403,
486,750,039,590,728,468,005,312,248,048,378,921,010,227,217,884,078,218,031,
120,613,342,768,652,482,380,272,837,844,857,016,812,068,298,488,208,316,749,
839,970,948,098,861,750,062,891,316,513,014,976,438,339,599,779,495,271,143,
076,612,721,423,266,478,985,178,368,559,790,974,215,145,671,508,855,870,302,
748,399,133,650,558,689,388,922,507,585,400,022,744,678,679,181,536,365,580,
114,846,519,323,607,749,481,991,340,236,664,684,980,776,181,899,359,347,091,
655,126,850,124,279,243,697,122,054,010,314,487,804,668,451,348,097,180,270,
680,108,962,198,330,292,373,586,000,603,493,603,243,003,140,723,161,303,936,
059,140,508,330,534,201,670,787,994,422,843,941,938,097,698,719,574,990,132,
631,250,600,153,144,126,958,725,352,582,080,354,590,303,392,648,392,609,229,
325,077,984,699,467,503,873,238,399,917,984,731,421,771,326,493,324,532,094,
976,724,599,227,915,628,889,375,624,081,327,977,292,143,993,225,971,782,793,
583,092,632,139,987,140,043,855,568,374,605,038,258,933,330,217,328,522,534,
366,749,549,866,439,509,039,403,041,815,819,402,952,800,931,173,139,678,980,
632,897,611,847,161,068,243,894,484,207,919,533,014,743,683,651,124,045,217,
408,124,860,462,698,555,272,415,808,692,107,449,956,345,066,700,974,855,262,
930,949,762,666,006,580,876,090,213,357,343,440,126,205,297,897,454,072,680,
146,889,311,558,441,396,824,644,066,188,796,718,715,016,760,409,790,391,078,
568,266,289,821,092,602,330,875,611,334,320,873,996,330,226,611,767,993,316,
846,232,930,469,307,173,848,768,087,113,617,036,501,932,108,126,478,069,907,
618,753,131,455,206,051,172,280,322,093,921,778,731,959,845,428,442,050,314,
978,829,066,163,257,106,658,616,881,690,129,680,081,104,981,946,647,064,732,
225,416,503,789,895,576,041,009,236,907,406,873,840,934,969,895,817,628,912,
071,791,070,928,774,043,347,287,347,609,126,412,284,646,391,770,484,897,597,
533,003,290,943,638,074,604,120,827,584,642,295,112,750,417,718,356,061,863,
855,187,329,114,784,062,409,694,651,294,605,075,047,839,055,920,636,106,963,
811,316,391,839,948,777,023,353,974,382,921,081,098,916,000,711,074,533,013,
478,178,156,267,107,517,442,125,009,944,037,177,012,934,283,773,455,228,016,
713,998,800,602,470,620,652,306,089,705,980,478,185,005,751,099,353,462,424,
880,657,143,963,912,929,143,925,965,093,730,625,651,705,367,986,119,401,270,
591,957,587,256,049,659,834,952,516,174,053,824,929,506,628,795,585,105,173,
766,681,259,169,432,180,403,969,034,206,786,742,841,996,555,948,949,174,071,
562,713,598,585,737,553,555,850,650,046,960,172,332,546,498,657,529,126,700,
347,959,434,950,691,323,954,882,055,433,776,417,514,942,045,308,265,852,103,
755,853,060,100,122,075,985,822,298,112,104,321,917,462,352,593,467,581,133,
376,628,433,321,165,816,379,555,913,999,120,596,238,050,276,055,482,114,060,
567,971,911,569,062,413,642,124,432,508,961,098,797,513,207,331,895,298,784,
071,606,294,992,944,733,858,287,600,516,258,198,786,465,346,169,356,496,445,
670,582,274,701,783,380,890,895,096,654,832,286,639,987,788,154,101,153,846,
314,549,843,778,643,121,090,816,653,850,395,821,115,243,372,980,912,962,052,
770,467,157,882,446,282,440,161,777,055,489,719,410,292,744,474,982,549,314,
744,835,376,909,424,997,560,658,752,015,169,412,481,205,813,709,249,453,982,
387,970,191,560,141,408,947,859,100,231,464,059,018,311,292,617,476,287,822,
101,025,029,627,897,731,422,652,513,309,165,837,801,840,231,880,743,569,755,
245,081,637,604,113,127,763,301,778,249,682,158,106,991,076,189,324,501,049,
934,489,472,430,261,988,371,630,687,684,502,973,641,863,938,019,332,799,687,
590,321,398,246,118,500,422,043,672,884,733,835,687,824,236,079,530,388,959,
850,332,531,173,627,634,453,520,992,320,803,177,230,694,232,173,512,351,603,
449,804,541,318,904,240,346,998,214,342,744,530,908,720,590,121,746,967,267,
161,045,492,860,187,229,724,406,503,341,536,478,983,137,513,324,828,577,116,
542,424,534,621,534,677,073,500,270,032,699,824,038,994,734,915,441,923,491,
405,289,342,196,066,607,756,076,549,670,075,818,855,865,081,632,506,792,627,
033,172,005,589,007,459,867,222,107,647,863,192,424,078,777,585,464,946,427,
347,295,720,130,656,261,536,519,344,840,870,621,096,718,450,676,743,954,698,
289,001,977,390,414,430,301,878,459,887,017,335,659,959,943,558,097,518,004,
128,102,864,198,847,511,079,769,353,529,576,819,721,128,071,080,799,482,439,
070,229,978,785,790,274,382,169,271,643,010,789,378,128,438,998,704,174,015,
151,701,265,158,347,691,025,085,825,083,577,520,355,858,971,036,127,763,088,
529,978,404,851,191,030,311,835,841,682,430,863,935,882,172,089,517,358,693,
892,196,435,602,116,907,623,319,443,743,573,103,266,222,685,739,781,811,951,
546,734,010,647,916,245,856,565,250,593,545,032,766,332,375,616,539,674,844,
394,559,271,640,195,043,631,690,360,752,759,397,616,550,450,632,768,308,766,
137,165,758,488,300,770,027,922,912,397,315,816,669,818,206,576,537,800,118,
131,588,994,586,113,235,425,712,930,380,599,704,492,556,779,708,128,910,626,
147,128,764,382,910,261,338,707,637,362,719,025,445,530,368,951,661,726,734,
694,571,877,437,027,372,293,086,078,794,887,379,857,915,543,072,102,068,581,
880,829,470,094,667,302,727,414,995,402,833,912,005,266,631,697,186,018,290,
434,947,258,437,290,643,287,600,749,094,902,958,757,670,280,890,869,260,769,
037,517,911,449,422,149,955,316,048,266,048,853,231,852,208,579,270,781,888,
302,069,886,411,608,653,976,444,821,040,650,968,479,806,071,621,897,824,656,
022,514,224,330,499,200,624,799,400,126,359,453,477,859,398,705,127,639,197,
399,683,369,945,186,889,161,140,174,921,448,306,058,514,699,424,012,579,637,
393,649,375,125,068,089,352,454,925,297,016,310,427,342,021,740,544,399,881,
292,989,084,947,343,860,159,718,297,165,535,360,968,580,890,676,197,291,576,
766,457,499,473,074,620,473,068,060,964,838,640,106,278,597,172,892,289,888,
273,457,264,678,096,013,858,677,998,533,007,029,251,249,805,063,029,334,865,
053,172,715,653,864,390,317,373,391,214,998,221,540,367,669,312,050,154,922,
604,185,482,363,922,255,187,257,085,922,329,730,064,756,657,074,434,622,836,
623,943,051,870,488,161,896,126,890,071,119,489,574,618,823,717,167,962,468,
989,767,971,402,594,936,460,890,619,564,159,446,421,109,497,519,546,365,981,
984,330,564,842,060,441,333,592,509,286,446,297,012,184,425,657,086,714,780,
896,128,475,619,287,749,340,538,154,946,425,927,392,890,577,746,802,559,114,
067,426,391,593,026,858,971,605,967,572,875,219,499,554,176,629,848,269,183,
155,977,919,001,923,470,011,084,596,283,709,370,254,537,059,638,818,931,909,
655,206,367,438,646,329,226,099,850,456,503,854,584,770,377,975,151,176,786,
215,031,519,654,852,507,936,032,137,297,767,432,704,861,808,681,609,986,341,
038,100,686,297,373,358,132,598,575,111,972,378,962,167,170,688,447,094,346,
821,975,523,084,920,478,161,829,549,359,194,246,032,531,599,754,782,261,890,
799,522,257,896,548,727,960,822,138,324,683,741,739,167,882,607,594,332,127,
102,262,816,784,518,928,125,152,277,736,905,787,906,895,244,363,720,408,132,
040,451,734,587,991,283,019,382,399,737,050,695,399,211,360,053,993,325,754,
285,740,130,403,065,811,399,017,044,258,208,698,582,628,054,193,698,163,642,
767,255,890,269,601,869,359,423,183,842,027,108,273,255,886,381,541,488,736,
004,042,440,329,901,818,209,969,938,381,550,714,898,064,444,598,278,455,637,
074,811,873,750,332,488,209,610,384,036,065,713,927,117,086,327,747,086,640,
380,610,480,582,463,145,400,494,261,301,574,322,235,575,125,902,323,671,754,
230,557,359,318,900,811,646,218,220,157,309,785,489,175,039,353,647,684,099,
935,790,944,540,978,952,085,796,559,216,468,290,889,901,873,697,238,874,437,
971,716,553,343,904,273,820,961,859,122,433,550,721,503,212,553,647,569,480,
690,217,725,184,441,812,813,210,263,547,797,139,707,922,833,923,459,992,246,
805,965,208,051,014,480,359,268,775,366,616,546,953,689,847,755,778,239,287,
684,796,719,436,620,895,924,780,809,145,053,348,696,268,050,938,500,164,906,
324,845,056,892,862,421,529,653,773,847,804,559,310,722,760,849,741,205,812,
450,204,731,005,349,018,304,524,754,476,205,306,506,739,604,081,275,367,780,
841,451,884,385,536,922,237,205,085,642,040,102,577,776,745,448,871,311,341,
163,732,704,628,625,592,385,713,098,252,752,342,780,064,709,758,461,812,448,
151,898,914,044,619,088,704,460,137,687,107,316,531,471,840,425,505,034,445,
581,036,902,274,271,806,240,853,299,652,138,337,050,358,586,034,934,911,272,
112,357,045,653,569,594,105,057,511,689,511,214,434,545,054,049,245,366,641,
551,907,134,712,240,082,575,034,155,797,597,526,042,257,309,450,468,238,325,
890,402,908,657,770,145,709,327,476,595,984,428,184,007,071,189,018,643,802,
656,956,464,881,099,955,209,838,345,146,301,894,790,782,412,014,275,316,244,
504,224,796,117,994,635,018,895,378,984,585,096,327,524,527,936,818,675,820,
779,992,002,193,085,603,014,792,340,759,458,143,640,495,435,167,926,530,867,
810,465,076,148,568,542,632,907,045,740,660,775,364,325,452,674,418,906,885,
733,227,936,058,374,806,559,651,246,031,077,832,160,400,037,280,413,255,285,
708,628,919,747,057,359,080,434,165,962,550,960,161,072,780,145,072,724,845,
019,160,870,586,741,214,525,413,576,236,551,711,119,984,768,353,590,237,119,
607,292,346,557,074,438,084,749,871,898,265,277,370,389,096,222,428,049,117,
542,978,723,399,898,789,814,578,419,272,412,571,226,007,424,956,227,021,168,
495,066,215,714,407,227,218,240,051,910,078,541,352,936,634,007,500,706,489,
385,495,118,081,049,085,934,124,101,479,594,984,225,975,596,263,785,567,967,
548,084,370,694,524,394,624,329,283,611,558,363,585,143,170,280,048,780,851,
277,817,995,524,476,259,950,597,324,734,589,388,236,179,974,041,550,593,009,
536,003,150,455,745,583,196,306,665,812,163,128,605,912,182,428,303,523,809,
585,353,090,763,338,901,194,535,107,265,618,437,979,496,249,551,455,135,320,
885,060,629,271,296,775,877,575,197,291,862,936,316,969,504,550,542,676,500,
315,548,092,188,731,099,947,974,432,969,832,035,666,531,691,555,731,109,960,
120,386,561,850,558,456,299,231,778,101,020,914,743,381,347,419,163,636,521,
963,283,182,156,623,704,460,149,363,372,274,349,176,913,833,589,205,640,660,
503,954,174,696,204,767,126,443,313,952,295,917,320,070,383,783,992,600,917,
085,680,165,324,856,632,983,828,233,582,889,769,903,255,017,250,810,083,336,
258,610,865,054,048,035,490,972,886,026,350,252,099,474,465,999,230,249,912,
949,115,164,028,074,748,312,354,325,241,177,721,482,223,526,828,519,375,454,
374,367,012,858,012,077,931,631,146,338,640,612,027,663,333,091,356,477,282,
839,557,181,412,570,222,200,995,260,170,717,093,804,941,202,678,087,649,807,
977,387,985,062,955,257,341,674,436,083,769,559,574,340,057,387,428,385,107,
320,078,669,381,008,130,213,293,294,910,634,822,009,880,325,509,789,879,003,
665,491,184,372,145,962,532,861,730,493,391,677,391,856,357,477,314,692,362,
870,936,640,411,961,113,670,674,198,072,569,566,144,873,205,831,078,392,679,
132,278,141,786,842,055,782,478,512,443,988,332,499,961,815,187,167,157,553,
551,419,352,698,478,954,441,249,180,830,062,321,845,482,228,716,287,548,156,
771,765,993,626,855,431,983,157,290,952,135,242,374,776,623,524,669,331,054,
356,032,108,333,200,238,160,561,402,379,000,928,906,230,430,086,750,499,686,
222,283,197,730,139,799,107,696,259,098,666,965,171,816,778,470,231,973,142,
551,016,506,989,369,338,931,840,281,750,610,152,738,506,911,738,348,932,337,
656,550,026,312,599,217,313,798,581,035,024,867,044,938,476,382,980,830,041,
486,399,092,547,190,305,484,473,983,949,689,025,452,742,443,941,543,984,054,
173,054,482,919,823,462,302,093,662,363,479,085,517,986,667,367,646,218,580,
390,533,297,666,057,500,157,025,102,090,897,391,610,645,218,812,646,116,260,
200,801,887,759,693,327,853,814,484,917,746,480,850,147,585,102,997,343,814,
039,185,151,065,097,628,347,765,453,820,610,377,083,074,609,029,704,440,763,
678,806,002,379,075,616,930,328,797,325,476,629,466,174,060,308,455,015,595,
775,147,294,890,256,764,019,997,401,213,863,209,685,160,243,424,366,986,588,
337,511,796,465,752,363,345,142,915,692,028,541,866,735,714,369,134,710,623,
480,155,557,566,121,535,072,196,583,083,753,365,053,721,349,607,077,252,429,
129,500,908,933,764,318,031,480,570,486,196,276,939,360,447,576,154,008,993,
749,740,542,438,984,100,648,884,382,141,320,619,925,532,799,425,381,887,287,
555,405,930,605,460,910,944,902,441,162,568,486,898,820,617,344,306,090,300,
120,521,793,674,422,787,269,597,676,562,492,252,009,614,061,023,702,563,609,
994,081,871,445,679,695,891,054,707,235,884,857,254,029,560,001,223,732,486,
379,403,078,966,818,255,246,316,872,581,457,707,063,065,417,925,768,546,956,
260,298,153,564,621,571,582,816,082,915,452,617,605,200,288,838,806,469,124,
724,036,854,628,489,334,062,087,114,092,974,762,279,977,686,263,131,026,968,
935,313,694,758,303,963,481,197,163,301,651,002,493,351,164,328,837,741,525,
590,250,197,459,777,016,274,572,117,312,607,926,256,791,583,552,507,108,306,
783,058,438,604,872,478,112,411,695,973,506,630,893,419,241,860,747,012,113,
450,832,817,789,111,969,641,872,535,548,256,213,720,355,525,712,576,355,855,
418,648,809,782,196,779,216,418,332,604,246,793,406,648,720,818,950,114,902,
354,836,446,026,431,276,640,934,340,377,202,103,191,890,153,950,987,414,860,
766,340,702,089,050,531,411,209,931,184,203,325,967,628,892,102,570,905,799,
508,609,383,366,907,351,359,290,117,028,594,605,136,650,078,830,379,417,253,
634,302,010,448,786,953,601,256,313,452,782,773,127,472,245,266,873,911,848,
674,133,924,756,454,089,293,364,298,219,948,892,889,367,271,206,221,081,806,
039,092,025,400,535,546,496,195,570,216,628,513,067,521,275,340,751,114,588,
041,853,047,269,072,763,061,765,909,306,317,899,222,649,992,164,057,287,085,
445,378,885,879,562,116,072,582,807,651,062,311,645,171,473,360,311,941,990,
413,758,308,603,701,972,841,944,838,144,903,588,427,064,801,448,720,382,469,
526,300,220,608,479,752,174,005,634,217,459,273,601,631,937,065,603,213,951,
797,771,245,493,836,885,017,819,144,980,742,827,029,270,314,950,818,799,074,
301,369,438,892,284,165,769,997,985,265,044,739,309,748,883,090,444,712,778,
942,391,932,883,414,174,117,268,494,710,774,279,383,996,235,041,950,067,798,
978,178,109,629,857,051,687,418,479,214,281,652,400,645,283,251,149,292,178,
780,118,663,096,010,701,080,306,633,839,118,099,269,437,844,767,775,162,492,
347,166,362,907,513,274,303,694,224,243,226,282,296,494,365,832,718,806,859,
895,457,202,737,967,561,045,853,079,129,738,141,377,036,099,112,556,411,296,
159,770,689,471,006,549,464,856,614,212,407,676,936,265,772,067,579,329,154,
565,175,087,747,366,955,199,673,658,888,990,600,199,000,376,288,061,646,069,
853,018,050,254,885,642,104,676,431,031,992,079,613,388,205,831,793,621,358,
222,069,641,710,140,852,657,289,413,785,707,625,203,646,431,320,437,248,512,
916,573,089,796,316,220,029,890,475,794,485,782,008,003,779,884,565,097,761,
629,007,401,486,103,459,947,943,841,860,661,846,056,911,319,982,043,918,378,
415,967,039,626,487,422,098,062,046,624,059,052,903,574,164,915,273,221,488,
389,997,470,276,526,874,561,455,959,321,505,023,839,160,219,443,131,356,848,
177,460,089,299,802,207,640,214,539,455,859,731,703,626,574,868,246,658,218,
905,407,697,596,634,365,357,185,638,697,727,012,938,024,649,694,119,409,955,
807,546,504,875,871,642,109,880,148,016,124,801,220,736,983,274,125,490,614,
575,225,770,434,943,440,682,162,547,225,165,078,837,052,765,885,063,467,445,
132,801,123,420,259,363,611,266,461,384,197,634,078,318,124,244,118,581,623,
472,752,591,098,468,022,065,431,936,940,655,885,003,601,179,581,092,551,293,
242,295,112,400,077,488,133,592,576,022,555,845,511,005,645,667,990,398,929,
729,532,226,822,517,854,006,554,431,147,843,819,363,047,038,815,052,602,175,
622,355,320,954,038,494,195,827,448,210,362,146,989,610,533,643,827,649,542,
309,613,238,263,920,030,595,648,126,130,983,921,520,419,250,321,629,717,374,
694,366,649,756,039,281,396,373,232,040,803,829,052,992,606,403,718,603,582,
282,787,442,244,119,448,818,501,433,076,595,670,356,365,840,661,803,864,678,
114,614,552,432,612,530,255,970,368,053,870,714,121,459,780,554,316,088,510,
300,632,528,634,875,412,347,419,899,784,479,302,440,858,463,657,521,175,433,
108,166,945,699,762,966,553,050,446,668,942,419,506,402,501,762,371,770,662,
513,183,857,648,296,091,800,968,331,218,540,552,882,509,147,429,494,177,567,
529,546,157,535,685,413,029,769,697,893,627,307,943,637,999,706,320,643,034,
144,293,557,184,666,972,028,858,519,760,602,956,358,010,167,364,060,240,327,
097,377,680,514,516,226,343,173,491,986,659,319,461,965,178,546,396,630,879,
144,825,479,178,660,939,683,292,598,952,458,140,454,933,810,888,936,250,827,
347,219,391,999,927,241,310,289,120,440,531,582,312,985,053,901,319,824,500,
297,612,320,235,093,615,165,091,141,595,753,115,035,870,756,481,774,393,575,
880,558,324,509,118,763,044,774,225,569,380,704,140,726,525,485,178,416,954,
627,464,629,619,478,604,285,939,463,470,061,838,112,750,288,025,329,354,625,
085,196,339,980,318,690,725,565,047,022,550,488,398,780,771,578,536,155,297,
924,781,725,325,132,684,904,271,656,302,314,294,760,007,668,058,443,647,815,
339,663,716,702,451,786,262,740,834,924,549,042,814,701,533,199,411,021,504,
314,303,027,317,901,888,364,627,639,451,196,151,422,820,522,325,036,818,314,
143,544,766,372,219,708,305,278,384,264,076,539,787,501,409,632,463,706,846,
719,432,395,721,419,271,613,644,972,824,907,250,280,095,029,823,643,593,460,
570,954,638,010,415,685,030,228,416,918,140,927,045,349,667,481,404,512,413,
755,436,511,801,784,054,084,629,063,752,260,784,419,365,860,907,718,233,193,
250,432,067,061,057,802,264,797,323,847,442,590,545,706,814,965,472,650,292,
758,871,325,676,900,995,668,834,678,046,373,671,886,289,424,439,449,817,048,
242,545,969,959,195,883,656,387,037,619,268,376,495,581,640,269,529,941,863,
801,864,985,613,939,054,945,381,598,126,346,721,858,224,331,373,694,235,273,
462,482,692,380,825,400,604,125,959,763,771,206,125,739,024,854,390,793,028,
587,129,332,409,619,929,612,576,108,616,475,685,278,945,274,595,119,727,850,
083,677,730,110,839,016,178,220,264,263,641,318,481,503,591,349,031,036,853,
416,825,800,372,081,158,456,464,604,839,943,780,472,802,918,826,044,163,302,
558,131,317,821,077,097,833,969,437,094,712,288,370,350,715,671,840,229,735,
896,379,808,969,606,735,261,130,585,410,582,001,946,380,388,722,436,467,199,
479,624,945,228,520,226,788,861,244,575,970,798,624,906,602,747,521,248,277,
465,389,892,238,760,593,415,101,104,222,272,768,958,352,105,769,718,465,641,
727,046,702,913,402,146,991,500,522,171,270,062,639,020,149,394,739,511,226,
227,846,699,057,003,429,864,160,779,270,208,218,535,271,435,502,605,465,774,
475,304,467,379,568,106,579,395,124,009,697,104,029,583,527,106,625,329,644,
347,502,745,155,096,608,350,348,834,690,844,373,741,727,392,630,352,622,736,
466,264,049,169,309,488,682,718,737,103,313,955,990,219,718,289,003,630,279,
486,580,255,494,536,842,635,789,169,006,427,361,390,048,211,864,187,625,041,
202,646,993,618,479,977,627,044,443,928,525,670,707,074,273,596,140,290,848,
100,010,246,617,359,590,193,205,439,810,555,371,879,832,696,289,077,148,210,
439,203,187,303,443,604,583,965,973,666,724,660,975,917,267,573,214,224,631,
878,948,572,895,707,280,858,466,898,519,575,163,368,416,407,784,796,184,234,
939,582,370,055,461,231,242,246,826,903,396,709,672,796,216,639,658,252,925,
538,436,776,983,017,961,325,232,127,980,085,909,498,715,143,705,405,166,413,
914,897,951,126,581,960,369,284,453,034,517,174,151,998,737,506,451,505,601,
470,772,889,744,370,335,879,800,092,671,667,960,144,785,085,725,335,810,511,
170,651,353,022,230,227,761,464,764,091,748,310,599,573,109,051,010,391,970,
907,284,793,494,319,731,355,986,957,983,214,482,490,881,081,336,413,913,887,
642,731,933,183,153,997,128,091,324,229,210,011,662,568,058,153,320,725,583,
096,742,591,198,006,903,016,701,039,557,632,840,200,827,674,015,060,277,862,
881,135,732,931,813,198,208,466,348,308,748,442,102,941,290,654,308,507,188,
322,886,972,444,523,804,692,607,774,027,085,770,793,884,298,390,907,059,017,
463,007,543,495,087,925,360,991,578,330,386,052,569,552,320,736,423,048,172,
014,422,284,059,999,259,676,437,241,056,180,045,626,279,303,130,810,397,158,
405,333,333,758,935,101,041,672,947,548,019,783,160,321,530,024,877,057,642,
112,717,286,842,824,260,743,092,637,521,140,329,983,947,747,404,371,485,557,
094,275,377,349,193,535,954,181,471,948,647,259,532,980,012,822,365,630,574,
679,729,564,861,046,862,960,414,291,736,887,318,946,008,424,181,501,890,686,
799,746,798,537,462,469,390,115,231,214,627,725,465,008,239,684,986,208,042,
918,134,796,606,732,291,402,234,887,258,520,976,298,575,322,513,845,913,879,
458,099,023,585,014,350,909,122,658,757,023,326,342,682,065,181,165,751,244,
276,870,038,912,558,358,143,816,593,646,214,181,645,069,343,855,224,946,618,
375,394,555,140,765,374,220,494,958,038,535,777,780,250,230,945,767,708,977,
345,719,580,936,823,302,904,520,792,283,599,744,435,844,455,136,937,668,467,
282,438,847,310,456,770,699,737,430,652,756,754,757,443,177,891,663,969,013,
698,600,278,211,523,243,623,967,856,720,737,477,442,566,492,982,112,591,090,
555,049,404,233,682,714,886,935,476,352,776,919,652,312,927,709,434,975,362,
876,875,289,806,913,878,761,106,333,807,449,783,550,688,836,734,512,260,777,
244,476,902,016,677,022,906,490,537,664,524,859,278,727,271,575,983,489,236,
541,143,364,956,854,120,049,347,404,470,090,430,742,445,677,044,551,667,335,
191,173,953,919,478,321,050,409,173,080,465,239,788,067,232,815,086,617,820,
322,647,976,125,560,933,428,370,505,835,205,768,037,630,064,223,945,142,986,
158,312,070,634,305,999,835,034,368,207,987,216,517,225,525,528,091,832,737,
046,190,097,413,532,798,769,141,667,511,714,769,475,596,507,732,352,887,432,
993,784,499,033,012,555,355,488,117,475,354,389,339,125,566,029,852,829,949,
069,169,598,574,719,939,657,937,901,062,299,836,551,694,576,884,864,571,514,
301,209,346,046,566,802,023,076,722,253,708,301,201,626,798,546,137,643,890,
078,560,270,200,673,800,310,175,796,159,230,341,793,599,595,011,132,054,253,
196,590,797,949,196,110,046,149,686,774,380,890,500,525,933,341,870,180,757,
265,193,866,389,478,531,998,122,209,523,544,620,989,644,312,235,844,945,855,
387,665,406,618,695,890,269,079,498,121,212,960,108,268,704,643,900,168,052,
757,274,620,794,529,083,725,927,248,401,759,872,078,534,820,943,568,778,509,
334,780,265,998,004,414,007,632,037,478,511,794,006,792,916,234,030,834,454,
943,273,975,451,772,799,750,361,723,850,884,896,704,580,885,946,776,382,607,
140,707,009,596,578,008,429,425,051,085,134,615,174,618,816,206,308,331,528,
064,869,161,274,642,817,835,578,255,780,394,835,781,217,081,999,147,870,786,
539,391,759,086,103,243,257,835,597,860,282,661,790,653,942,043,070,594,982,
301,210,980,160,163,913,752,441,058,633,310,355,900,646,877,469,717,114,155,
938,938,063,157,256,268,576,444,354,325,972,017,373,311,713,635,825,274,375,
380,158,940,254,570,470,007,492,663,700,275,627,750,059,643,504,498,086,714,
601,721,323,615,114,086,198,555,029,791,818,872,401,432,002,105,142,612,278,
099,000,231,119,634,048,675,801,171,086,200,626,379,752,195,571,620,100,273,
161,296,253,595,378,954,091,277,486,745,363,080,996,960,235,132,097,196,719,
318,354,101,209,245,584,526,417,555,545,954,490,178,354,711,957,902,627,086,
031,123,677,007,424,012,990,564,467,654,453,290,996,348,849,803,465,209,598,
585,955,335,594,854,640,820,175,727,833,259,813,437,202,518,411,162,863,293,
693,071,848,189,445,809,335,834,817,250,562,409,925,527,227,698,798,679,762,
564,150,057,240,549,347,641,851,265,332,879,260,777,798,417,953,605,221,308,
230,603,231,650,020,625,993,987,685,179,396,686,314,083,402,498,540,880,469,
618,543,586,843,993,269,078,628,323,195,081,633,723,954,424,956,108,197,059,
745,196,065,598,041,673,218,360,195,275,450,496,144,771,834,210,455,776,506,
435,631,840,214,299,100,669,440,599,105,640,037,579,117,500,942,427,492,835,
599,661,349,815,387,381,626,590,987,721,485,866,839,556,705,973,539,935,610,
110,067,267,118,671,646,035,383,198,313,190,168,221,326,215,649,746,368,006,
604,084,446,990,314,076,133,308,918,542,997,419,153,725,543,292,301,367,511,
596,718,171,362,864,358,548,110,889,737,358,486,397,908,693,917,548,030,075,
029,125,740,822,507,616,740,121,423,174,693,581,876,831,305,124,008,529,628,
501,786,987,182,996,171,252,398,968,129,680,131,058,706,847,286,060,509,254,
350,534,205,137,545,386,565,352,774,831,197,884,419,136,717,844,276,326,260,
845,611,625,957,984,532,589,287,249,046,834,857,377,555,852,460,335,394,395,
122,822,143,815,081,979,332,494,024,368,044,065,198,671,395,570,929,692,282,
244,870,527,312,398,907,225,026,040,927,240,926,656,686,806,953,319,803,972,
003,004,437,591,372,111,759,885,889,920,833,225,835,245,999,690,789,444,788,
773,990,754,750,193,611,489,987,720,904,919,563,920,348,878,320,384,888,826,
193,459,991,685,501,663,169,695,303,677,271,042,577,903,810,558,280,779,824,
641,511,037,479,110,913,316,943,034,581,153,318,849,107,373,039,902,406,397,
385,228,891,085,171,249,498,338,108,625,682,302,898,287,557,997,084,363,323,
512,752,882,124,993,611,976,749,534,600,533,980,103,917,873,403,944,173,500,
694,782,365,927,624,931,901,772,720,170,811,936,562,158,643,818,795,288,324,
597,367,499,022,936,613,802,489,391,564,361,093,039,313,634,771,407,058,388,
902,239,255,579,206,506,400,296,274,827,676,050,930,489,949,565,867,697,867,
492,013,818,076,182,608,314,965,681,547,632,261,616,025,487,536,468,162,255,
101,518,587,010,902,999,124,737,471,318,780,240,222,618,124,179,378,798,104,
295,311,291,301,948,411,398,938,176,995,899,794,348,764,348,023,274,279,110,
931,039,017,143,649,862,051,035,699,623,907,536,908,134,821,748,522,571,517,
204,909,915,465,318,416,790,168,332,745,537,785,529,824,283,512,049,963,945,
891,179,597,736,066,552,526,164,293,810,683,439,336,418,559,964,549,228,710,
798,982,838,332,868,167,895,099,201,276,389,851,772,930,294,476,075,820,084,
781,808,426,060,673,279,393,578,269,340,406,926,315,888,935,479,242,936,931,
710,890,502,921,915,333,968,121,483,505,465,647,479,901,084,961,741,143,166,
458,082,961,458,735,506,017,483,685,859,649,374,540,356,407,957,301,791,161,
874,566,422,623,096,028,559,814,884,852,083,099,415,077,930,746,371,692,169,
457,061,783,885,243,727,155,080,329,302,782,663,815,737,318,837,019,649,432,
644,212,810,514,811,736,122,248,674,905,877,058,956,061,549,565,409,294,154,
718,050,157,771,089,111,564,706,474,263,049,135,351,094,522,167,288,236,476,
122,833,027,244,214,982,420,564,664,056,581,205,445,769,574,004,875,529,631,
404,944,666,145,915,807,982,655,947,523,692,335,708,609,572,084,783,599,441,
085,991,366,339,663,989,969,778,349,119,516,442,192,029,688,768,715,592,009,
925,697,904,755,147,039,403,820,537,479,600,288,903,416,101,124,707,367,822,
210,992,443,823,990,227,678,191,517,050,337,589,185,720,430,878,980,346,641,
414,871,681,875,869,309,517,034,184,688,382,291,376,974,497,558,155,962,694,
246,093,661,009,890,968,319,119,140,677,963,370,973,954,300,731,570,773,847,
381,470,518,502,729,776,785,293,594,711,351,775,134,049,672,006,929,483,000,
824,807,222,585,091,877,407,023,779,216,895,520,892,522,403,440,728,699,821,
339,574,703,892,396,945,850,723,432,183,054,615,989,820,333,960,769,535,617,
229,366,532,856,228,144,624,674,098,105,994,513,663,881,984,745,783,912,637,
582,215,231,861,835,808,010,887,749,770,224,127,808,153,970,512,460,484,533,
240,760,584,556,903,113,305,994,437,641,116,297,571,326,040,224,262,054,054,
954,429,706,551,229,289,986,035,848,027,642,843,107,453,595,723,354,126,256,
309,998,015,679,255,219,349,304,643,031,771,530,150,087,956,051,079,892,946,
205,756,871,476,538,514,714,736,409,117,326,149,960,211,110,159,253,089,613,
204,341,337,743,882,722,731,402,890,680,456,371,313,504,936,598,749,143,517,
718,037,146,952,136,598,044,330,441,833,084,511,357,178,474,070,449,869,495,
543,310,824,641,161,083,988,932,036,151,374,269,156,557,816,846,532,468,122,
094,044,466,848,029,749,343,898,971,836,811,592,071,433,401,546,319,707,538,
938,077,908,793,330,623,657,248,985,689,173,539,519,174,664,300,597,424,309,
593,948,307,741,613,950,525,203,469,572,105,763,347,523,904,066,079,736,642,
321,386,547,851,625,521,814,458,067,142,520,881,083,091,192,722,456,503,319,
882,639,375,811,962,861,386,976,220,924,155,824,459,318,874,169,937,789,623,
462,988,523,583,965,673,509,239,977,900,152,559,286,046,786,522,131,812,099,
850,871,494,924,603,956,341,529,789,594,548,254,844,403,637,734,260,175,622,
572,741,264,920,369,928,076,490,485,913,631,694,396,463,441,964,911,704,275,
824,675,923,967,938,436,819,765,867,786,983,588,926,119,253,533,654,196,054,
886,274,390,146,186,989,619,586,205,547,814,938,263,603,882,281,555,517,941,
692,330,850,539,603,395,005,972,328,740,404,431,811,826,895,804,409,199,683,
349,556,808,458,884,881,840,518,396,518,365,768,429,244,476,533,974,836,016,
324,650,507,266,660,160,173,316,846,732,001,063,349,034,605,846,279,550,578,
554,616,413,834,868,006,299,718,542,351,870,544,969,735,593,469,657,854,643,
563,703,342,805,639,555,804,210,802,016,106,562,003,187,909,614,849,952,792,
958,534,116,136,540,730,734,896,029,228,676,722,185,221,047,874,044,582,035,
885,266,524,037,469,282,808,442,770,136,530,879,082,848,543,460,354,581,015,
729,084,280,546,795,419,815,528,624,974,273,585,708,003,831,825,901,516,187,
598,084,326,444,971,908,011,257,868,065,548,906,333,754,475,622,957,186,709,
930,793,601,203,282,142,521,371,557,291,140,835,519,244,524,649,900,141,349,
209,099,276,527,620,967,892,440,767,911,699,481,157,906,120,433,573,782,937,
158,988,704,097,064,068,825,395,120,841,625,149,386,659,404,408,383,843,297,
792,953,331,726,129,606,476,383,691,011,189,314,129,470,354,166,329,738,264,
763,346,686,701,672,725,987,338,288,016,225,416,132,490,990,385,948,761,151,
251,025,430,641,622,726,147,486,056,132,893,278,436,522,714,048,436,932,293,
688,669,370,682,268,317,531,011,905,817,209,126,160,914,170,755,224,503,455,
545,600,066,068,315,696,730,709,341,969,343,011,348,666,397,516,845,550,708,
125,980,889,436,471,348,810,818,928,638,465,448,988,634,902,688,846,363,040,
971,845,785,488,711,855,629,814,291,431,637,668,298,004,211,536,579,895,283,
664,954,425,690,970,988,793,146,498,701,332,922,934,886,157,799,583,797,031,
750,525,388,637,766,457,455,155,250,635,935,366,670,824,261,574,032,816,664,
365,275,818,561,045,806,284,202,049,430,073,981,193,569,433,176,772,680,713,
651,312,509,492,121,402,330,248,907,698,643,626,141,462,366,211,557,319,373,
879,644,862,752,650,635,601,857,707,784,079,341,519,081,938,216,803,482,298,
849,634,197,804,964,507,695,410,354,324,278,209,527,770,007,784,784,223,068,
043,190,909,444,252,414,913,686,529,129,394,338,542,251,000,970,355,033,074,
684,036,180,722,437,985,734,001,923,229,044,483,459,193,145,056,722,006,406,
676,824,829,174,982,476,839,493,202,571,973,643,668,526,399,329,572,693,784,
180,774,592,863,274,915,592,079,578,185,212,349,969,635,278,487,272,209,582,
969,357,574,373,149,554,891,643,401,847,089,383,673,532,948,105,588,569,094,
717,664,775,942,309,704,591,569,546,042,513,050,604,037,414,303,762,433,237,
041,806,124,241,371,002,542,608,028,978,505,630,106,436,694,833,300,158,930,
563,138,731,394,477,656,564,502,685,260,947,944,855,450,191,094,939,571,918,
922,164,822,707,981,955,311,955,285,595,558,736,090,138,890,376,803,548,513,
754,179,419,652,161,935,003,077,067,853,170,091,797,465,021,292,730,132,107,
085,409,717,727,908,381,059,430,146,474,193,036,462,935,873,253,636,409,539,
853,113,122,723,173,781,213,307,134,305,374,345,757,589,593,446,826,389,537,
699,694,713,835,219,169,854,960,614,232,200,861,134,862,542,202,092,148,897,
223,618,791,267,219,308,311,825,313,389,540,581,100,274,071,955,858,246,481,
772,103,475,553,105,141,147,201,444,965,207,864,334,726,473,181,114,311,947,
051,888,660,539,762,986,621,968,084,412,043,809,788,676,539,774,799,768,690,
083,800,856,232,350,364,834,147,588,164,569,133,900,244,832,877,605,161,357,
353,375,896,373,649,681,977,532,869,767,111,035,690,717,308,903,785,715,054,
899,218,373,689,010,996,416,123,305,269,136,894,902,947,582,578,506,102,880,
513,387,580,677,302,751,762,304,992,254,105,842,545,610,519,526,379,225,675,
489,249,213,079,723,913,885,084,596,316,479,531,033,872,387,242,949,574,114,
519,814,393,633,875,230,256,622,521,894,039,793,841,124,066,332,479,147,093,
688,523,153,347,147,780,709,594,513,898,586,232,152,035,512,140,371,252,176,
719,205,752,315,185,604,868,335,778,295,924,178,642,838,814,199,876,301,157,
218,340,619,697,205,305,886,886,072,844,463,222,976,121,384,912,532,218,648,
461,266,897,939,516,425,204,688,422,827,517,974,780,869,170,643,794,921,759,
647,888,676,196,425,795,910,530,437,821,771,158,617,272,303,744,759,284,697,
822,877,604,564,988,601,189,237,390,204,269,814,311,703,956,156,490,093,652,
446,661,680,290,579,726,316,306,774,618,363,180,634,215,991,776,669,759,002,
424,932,492,890,639,740,894,555,948,866,614,194,262,654,241,562,736,770,766,
844,889,766,992,024,801,678,195,083,394,021,657,054,681,373,127,028,662,198,
207,367,223,694,602,881,387,371,460,205,846,853,298,174,130,260,748,077,621,
928,346,040,800,650,644,697,061,403,142,044,934,361,677,794,305,941,582,960,
375,565,277,167,735,014,880,981,922,999,470,611,555,806,121,234,215,060,613,
547,978,145,498,161,731,018,991,048,476,793,353,097,915,231,007,127,094,370,
590,750,612,144,117,388,914,002,870,979,431,806,851,518,592,140,442,703,041,
483,536,866,386,608,947,601,606,600,429,520,876,452,963,135,272,679,987,080,
820,552,878,643,262,534,568,510,968,706,485,548,969,593,970,677,587,514,369,
438,686,505,533,822,028,662,148,004,143,429,844,742,459,091,471,958,555,076,
389,045,240,259,750,336,581,277,691,691,529,688,261,778,621,210,705,976,012,
838,052,518,687,188,899,576,734,124,964,854,256,475,191,302,617,118,552,233,
357,563,489,594,584,338,393,617,735,954,574,823,251,829,038,570,843,459,011,
750,141,885,609,233,115,624,143,136,233,607,991,972,880,764,817,749,103,172,
918,504,965,854,274,224,952,620,993,650,934,066,005,468,650,896,339,898,912,
495,965,530,082,237,874,979,842,465,306,811,212,091,540,788,712,527,854,958,
795,494,453,779,781,221,607,956,594,162,195,634,085,546,128,029,055,556,336,
840,184,316,841,306,539,073,629,620,009,568,753,537,331,541,685,153,233,898,
394,429,305,197,798,731,965,457,801,063,118,726,275,834,066,108,501,556,803,
721,030,066,523,279,706,257,272,924,063,876,074,905,373,468,103,429,044,961,
417,105,708,728,672,868,383,638,140,765,573,919,121,372,745,379,890,956,710,
992,801,580,551,626,188,529,569,689,794,561,191,365,804,080,136,868,615,739,
269,701,109,829,839,923,788,840,698,154,208,901,385,835,799,975,881,885,637,
383,373,401,921,654,916,276,444,171,358,398,520,830,479,709,769,476,228,589,
425,805,068,222,204,805,985,934,214,222,490,968,406,936,702,983,743,228,359,
815,210,192,823,961,223,231,736,558,603,449,801,420,021,722,676,050,950,133,
848,527,179,123,417,063,139,911,876,771,660,973,923,158,039,111,175,236,446,
488,248,953,469,979,516,939,889,153,781,392,965,762,510,244,561,931,722,514,
943,960,858,287,147,777,193,502,088,452,694,830,558,922,307,151,223,507,183,
457,987,597,763,181,254,378,658,089,044,931,941,111,538,384,933,881,766,662,
554,171,434,760,191,316,260,016,974,178,910,722,704,654,762,905,909,606,289,
818,123,955,256,308,430,891,018,505,117,048,621,117,205,478,930,253,355,344,
287,946,694,080,555,855,389,950,649,108,930,208,150,007,975,490,434,490,622,
878,216,365,142,114,235,644,140,326,642,951,450,671,434,179,338,529,107,483,
919,219,271,489,665,645,900,573,575,214,342,806,601,779,962,321,516,700,524,
492,160,130,883,177,869,347,939,952,371,762,856,885,549,419,262,841,811,176,
693,985,982,120,555,420,291,007,926,593,909,837,085,441,342,319,303,618,467,
546,853,761,071,747,728,382,026,003,028,690,616,776,604,490,868,827,443,981,
994,123,379,999,108,840,138,177,345,417,510,631,203,510,165,225,691,287,282,
284,001,055,580,192,478,406,554,966,942,576,934,992,608,426,504,732,521,312,
164,640,910,855,977,987,509,666,498,027,580,572,303,170,457,556,665,042,512,
988,361,552,051,161,473,016,532,336,364,543,509,856,222,081,830,249,109,800,
250,338,137,615,353,198,122,228,949,344,244,557,230,315,831,239,863,438,378,
798,037,559,127,753,342,018,848,263,332,076,691,841,674,224,364,632,993,544,
048,569,472,275,857,186,532,484,114,773,049,351,194,131,888,942,089,073,331,
172,241,611,487,664,601,969,461,348,513,681,025,225,886,672,533,845,855,691,
407,671,499,252,517,643,482,750,384,120,168,791,408,529,088,689,241,006,343,
635,860,131,944,024,717,645,835,831,311,225,934,498,145,038,660,687,932,797,
400,142,781,099,805,569,671,910,068,066,808,317,298,941,960,475,518,663,151,
843,650,678,160,669,324,509,020,923,045,525,432,564,543,673,556,489,110,364,
247,404,779,378,354,974,523,724,950,623,272,540,619,736,059,563,999,392,182,
484,541,121,835,078,627,265,200,308,961,151,945,019,101,885,599,617,547,193,
361,798,937,490,459,352,595,055,867,226,555,350,046,590,341,991,648,147,385,
351,706,284,887,916,618,587,439,047,750,262,377,348,595,959,491,454,701,263,
689,834,566,285,192,558,041,940,293,309,272,807,869,767,920,218,867,915,974,
666,473,099,878,379,002,287,479,064,025,505,780,653,884,890,786,109,013,410,
122,597,876,294,453,594,003,266,784,015,751,688,170,061,104,487,316,507,060,
079,736,737,206,475,625,277,669,367,125,900,701,022,673,013,533,252,805,758,
691,558,550,787,720,623,819,553,135,145,789,199,742,370,158,571,313,135,430,
082,004,518,928,176,696,244,737,555,240,969,880,116,432,776,354,978,147,001,
744,650,486,871,454,331,942,731,836,535,708,540,450,624,904,315,116,820,899,
857,867,580,435,240,029,024,283,301,831,097,787,500,600,708,128,009,892,567,
836,432,536,341,275,680,129,414,415,535,762,790,573,499,945,114,124,263,608,
992,198,701,924,760,295,149,485,949,650,469,021,266,090,071,968,587,052,672,
745,834,007,111,100,521,488,823,069,629,331,219,267,352,533,725,795,784,840,
484,480,321,266,275,632,408,718,953,668,611,987,027,206,495,990,282,602,318,
399,900,604,194,133,281,697,609,248,373,011,434,690,620,654,801,446,272,016,
175,442,429,730,147,804,560,541,351,732,886,868,600,853,787,367,623,725,488,
812,781,064,547,206,662,669,490,537,623,215,557,143,090,151,270,498,162,341,
463,462,409,326,086,886,922,018,281,637,282,222,421,728,317,082,571,489,315,
965,286,036,936,118,662,772,019,724,592,024,172,324,500,235,496,083,017,847,
228,764,229,327,758,037,780,058,119,500,179,902,148,135,158,318,589,289,746,
738,459,008,954,161,732,574,411,997,045,653,860,459,485,977,389,257,047,782,
573,589,870,729,946,967,820,412,443,931,793,735,981,017,884,898,035,572,243,
469,050,956,264,157,725,786,826,126,458,843,848,769,153,195,164,404,747,946,
661,713,288,091,258,194,636,973,659,163,321,449,679,890,768,741,616,634,826,
845,207,766,555,465,631,762,629,570,183,890,076,984,689,621,854,536,567,308,
679,797,469,363,453,934,090,255,311,603,237,343,778,441,111,094,352,617,272,
438,135,110,410,784,893,411,040,927,112,327,165,921,085,215,136,116,256,255,
002,247,321,658,589,234,494,543,220,551,473,584,495,738,689,488,504,580,830,
018,323,320,042,174,191,960,980,928,706,358,017,875,861,035,332,564,646,642,
908,492,072,991,595,262,514,983,424,120,076,919,678,996,888,499,679,300,321,
801,480,296,741,308,634,370,369,240,626,100,107,217,460,912,456,876,360,882,
497,123,958,388,149,901,782,081,785,951,398,511,350,905,398,402,992,624,453,
325,492,399,694,330,610,923,251,164,546,636,325,551,111,445,824,639,912,710,
416,326,461,727,516,341,029,429,682,769,447,689,318,373,678,076,187,889,977,
157,525,975,239,165,891,412,025,740,022,384,799,986,701,277,695,949,264,081,
810,888,707,504,606,077,675,503,255,835,978,070,284,441,883,972,675,039,236,
512,588,741,675,368,538,027,793,540,283,699,655,121,903,703,452,938,756,649,
278,986,863,783,974,582,788,049,414,626,650,792,468,553,220,696,637,891,023,
331,567,988,347,005,152,729,822,187,730,174,101,789,681,663,926,272,502,681,
228,811,180,516,067,401,865,705,273,736,795,309,686,270,862,968,661,077,970,
769,504,233,818,449,144,504,178,613,292,273,906,197,731,741,810,800,135,591,
033,093,286,745,344,623,086,292,426,559,550,816,565,135,163,702,322,014,887,
057,858,398,165,047,812,387,198,943,335,044,738,979,723,705,711,718,915,219,
387,708,688,972,381,931,404,883,841,771,420,785,513,902,049,413,200,327,015,
596,921,860,534,275,305,021,561,338,215,600,243,918,221,581,418,862,735,346,
408,737,621,695,173,280,234,103,940,227,765,498,519,065,332,340,723,642,262,
450,634,683,296,505,475,554,863,657,568,709,018,962,681,727,773,489,191,794,
888,025,977,940,477,145,102,025,535,399,656,695,002,987,279,251,102,885,057,
156,750,068,496,142,630,167,827,268,865,768,578,272,387,974,329,761,796,679,
754,477,299,930,302,707,106,120,622,246,439,209,765,653,271,713,793,667,820,
670,966,518,259,017,831,450,777,631,198,871,109,534,626,695,203,411,955,537,
109,605,524,720,860,718,970,186,377,040,240,327,375,780,219,586,446,810,416,
617,005,936,483,900,386,279,656,235,133,398,228,709,623,591,653,138,386,055,
461,892,471,229,575,832,436,205,008,162,751,806,774,330,187,658,522,468,342,
507,757,098,459,872,532,030,772,446,178,799,356,242,909,635,295,673,379,707,
689,237,755,497,394,516,937,846,737,960,591,657,910,556,030,258,997,945,699,
907,126,018,123,358,673,665,356,419,605,469,384,339,244,135,782,120,460,760,
677,029,156,137,975,174,242,241,008,792,707,474,396,360,476,527,450,124,135,
983,796,631,564,526,111,374,030,910,501,293,590,775,507,458,685,647,826,462,
592,659,946,601,302,052,749,246,629,657,731,730,519,095,304,911,988,226,105,
684,006,075,373,563,230,436,289,077,203,041,090,797,943,213,125,335,231,515,
279,021,311,318,769,530,634,571,311,016,194,820,590,256,244,161,639,511,744,
020,643,853,195,083,479,684,168,109,616,871,308,402,049,371,844,942,701,327,
031,204,895,984,714,575,069,247,760,782,359,943,902,221,425,350,057,922,514,
679,021,648,451,066,614,108,143,786,864,528,937,827,715,685,015,551,899,370,
709,397,466,784,582,837,297,998,079,597,047,115,004,952,010,295,958,197,691,
762,972,973,906,328,142,291,994,420,811,069,062,763,846,556,968,129,734,317,
834,696,778,478,295,627,076,404,565,838,322,921,415,906,095,096,679,513,591,
125,971,792,953,724,334,496,943,100,388,737,585,634,563,249,547,141,886,133,
258,302,490,864,986,328,195,722,591,815,458,640,478,267,837,254,316,881,776,
883,074,992,145,303,000,455,120,619,734,276,375,269,638,073,955,126,338,109,
900,898,836,821,232,143,116,094,136,637,986,373,785,191,966,386,483,692,395,
060,177,216,278,247,799,375,700,774,381,113,826,592,325,770,299,041,300,381,
265,586,330,787,023,034,727,039,165,096,227,051,920,890,254,121,426,446,544,
367,482,201,050,585,975,861,110,003,338,064,589,495,649,512,731,556,609,667,
445,356,523,847,087,326,857,047,561,322,389,856,539,521,609,473,420,298,742,
616,750,930,436,648,041,349,191,628,485,297,725,353,568,692,813,045,397,880,
975,476,536,262,348,461,592,275,614,138,351,488,706,574,169,171,708,427,943,
685,945,538,559,097,638,340,325,237,726,299,753,712,069,809,512,973,350,570,
535,183,086,072,171,597,532,671,564,933,182,250,357,058,045,003,583,463,378,
542,775,305,244,531,540,263,239,081,311,245,353,163,085,253,976,913,181,362,
763,884,347,543,322,393,677,906,187,472,698,124,285,973,277,177,410,917,347,
449,580,600,136,195,955,560,557,211,749,982,478,620,928,964,670,024,801,119,
796,333,232,764,533,920,302,432,046,175,425,293,439,887,052,297,618,550,702,
298,505,876,799,102,215,232,726,023,039,369,034,575,251,353,294,962,098,207,
134,564,840,772,945,864,663,928,315,733,543,116,028,501,153,225,336,220,662,
685,706,411,891,936,390,469,225,776,268,253,510,442,207,733,534,691,385,800,
086,159,120,770,815,706,404,056,265,114,183,888,600,605,308,517,847,252,776,
396,208,232,450,414,471,967,863,517,801,509,147,414,108,333,860,859,872,714,
308,014,185,801,468,647,930,292,999,245,045,634,257,558,581,540,007,859,901,
949,700,067,187,971,718,491,277,207,331,313,339,057,224,829,539,243,611,245,
323,409,443,934,125,910,440,962,470,418,830,658,934,754,097,400,824,884,813,
901,366,949,429,623,790,565,138,121,617,120,779,239,848,662,068,133,703,979,
648,885,078,799,556,338,874,995,890,527,017,094,165,347,429,837,783,021,015,
784,849,957,561,272,127,545,490,010,436,551,224,548,275,005,437,192,110,121,
065,259,968,030,074,888,835,622,534,414,596,958,118,471,875,397,079,369,312,
138,571,355,483,947,415,043,498,183,730,057,351,020,752,678,712,140,908,115,
465,043,692,986,255,628,511,079,002,451,135,943,608,262,638,261,248,403,696,
834,051,175,804,759,690,762,895,960,192,021,287,424,524,392,084,111,507,245,
431,736,942,193,627,522,604,509,243,949,632,591,035,047,707,693,496,214,375,
430,686,347,753,534,118,458,775,487,234,713,622,524,322,746,772,303,342,895,
813,736,356,937,735,692,170,045,448,361,784,787,035,785,711,274,545,516,559,
893,883,285,871,043,122,516,641,661,708,549,228,936,442,393,560,239,687,730,
212,956,606,676,385,253,152,147,641,536,423,056,011,774,447,937,609,147,452,
558,283,674,467,628,810,279,739,880,474,434,520,944,246,770,238,013,847,463,
476,279,686,809,764,124,959,278,963,632,388,035,049,571,032,498,879,539,696,
440,177,610,868,816,790,738,373,267,576,262,702,274,846,007,873,310,421,479,
509,688,007,534,469,509,634,983,924,682,659,232,554,481,454,451,756,171,629,
631,344,746,422,329,982,911,618,533,193,332,468,433,929,556,265,312,558,781,
742,693,564,406,954,441,843,337,467,220,873,337,564,793,891,614,703,495,515,
077,886,804,175,270,544,998,433,464,889,742,293,484,445,560,118,968,164,740,
573,756,471,163,356,725,016,453,383,451,693,859,899,190,776,964,031,213,048,
613,892,297,012,709,958,732,030,022,866,424,592,750,857,382,743,056,069,037,
672,128,030,450,320,115,449,083,689,296,320,257,240,800,246,684,886,992,718,
678,788,622,043,775,961,121,080,807,336,002,792,077,478,289,842,491,471,874,
577,751,730,233,686,596,780,577,570,490,703,803,207,827,045,575,991,812,375,
980,199,051,954,108,024,620,099,296,546,302,145,043,371,671,718,788,485,477,
584,461,796,515,129,011,231,578,491,442,435,960,994,953,464,358,806,746,547,
058,968,840,559,043,575,482,544,066,924,453,759,463,812,226,909,203,565,715,
319,664,335,357,512,469,036,716,760,207,025,149,376,036,793,300,134,571,784,
779,756,975,371,846,430,375,287,301,088,109,016,587,770,141,156,403,966,587,
909,039,915,540,094,928,192,026,481,826,571,409,806,105,127,095,278,001,155,
328,275,605,903,363,704,281,980,119,347,755,929,465,167,900,665,898,379,518,
352,525,545,345,215,241,359,897,603,637,659,790,880,898,158,508,171,797,574,
267,965,416,746,536,146,821,955,267,728,596,695,171,105,853,780,728,704,857,
282,736,821,785,392,647,078,522,614,248,219,413,738,104,993,606,093,717,927,
758,932,951,728,261,815,611,198,254,077,347,174,520,872,690,323,298,359,657,
769,802,503,953,897,829,200,793,923,183,360,915,636,315,518,580,079,479,864,
698,418,939,101,462,648,954,352,873,725,317,035,175,220,098,218,972,226,259,
570,451,356,486,151,204,024,178,246,749,036,875,605,532,749,601,952,452,521,
900,680,084,220,104,887,334,783,900,306,004,351,461,642,564,367,963,031,744,
983,128,536,735,134,219,284,195,223,892,254,339,047,936,022,556,177,710,690,
718,277,360,477,215,568,241,323,221,159,316,734,024,487,425,061,742,131,730,
231,870,623,341,927,847,195,228,880,474,502,768,636,341,387,791,993,855,559,
208,556,909,331,199,921,969,152,265,103,810,730,898,666,554,062,631,565,365,
651,305,489,315,104,318,353,053,174,578,519,124,484,916,747,617,301,923,822,
837,014,329,799,641,570,060,265,378,194,936,517,863,340,925,352,125,179,576,
557,024,264,100,814,546,923,714,493,293,180,763,990,621,184,262,986,058,405,
023,341,502,206,969,429,706,796,415,446,076,673,649,134,262,604,931,481,716,
303,570,012,769,931,479,673,084,464,755,937,821,448,340,417,851,325,188,838,
150,002,129,946,658,434,072,364,218,265,156,752,646,026,361,004,568,556,417,
833,758,962,681,249,664,235,533,274,922,172,220,208,362,963,764,495,215,842,
082,797,745,406,262,048,257,387,540,889,213,025,395,871,410,980,746,713,584,
586,772,173,206,835,630,046,850,418,481,895,400,037,012,880,386,854,642,256,
156,121,662,112,307,143,153,682,682,651,231,614,624,945,651,203,650,780,552,
849,068,443,817,151,646,160,043,811,272,430,819,010,912,493,901,591,814,785,
025,842,488,964,936,196,846,058,216,381,676,206,703,220,909,291,809,041,378,
599,589,184,836,894,656,097,779,542,840,989,257,955,151,401,159,715,676,672,
152,736,375,948,760,433,580,204,814,850,166,498,561,869,278,955,217,968,089,
662,840,065,640,213,617,238,130,673,573,069,156,517,335,150,978,241,200,814,
388,498,972,553,732,718,739,432,818,313,226,344,436,304,690,560,882,269,482,
443,708,293,574,304,335,169,994,842,772,125,866,294,737,729,293,250,168,152,
678,809,614,059,173,089,844,769,308,573,975,785,067,682,870,253,382,136,665,
679,219,292,668,049,571,579,656,356,555,489,331,787,510,350,178,495,090,539,
708,290,207,686,653,373,267,106,017,742,151,119,312,512,912,429,475,433,424,
731,834,411,949,701,299,575,485,875,779,187,474,628,829,095,426,901,784,470,
574,180,948,995,819,802,163,976,112,845,473,566,531,626,089,032,146,038,811,
319,004,585,490,067,658,554,011,722,848,968,532,780,899,226,268,592,240,172,
457,933,992,681,902,862,935,493,231,243,030,502,020,310,478,108,218,925,081,
008,051,406,490,510,543,475,057,690,899,908,808,686,309,908,998,024,080,518,
272,299,586,188,824,419,088,019,209,065,846,073,175,893,449,392,949,472,198,
773,297,541,704,107,661,417,385,234,947,388,498,561,313,962,485,084,491,715,
786,404,308,611,326,208,809,319,075,807,990,580,819,834,581,109,326,658,499,
650,085,486,716,070,050,317,264,937,572,586,868,247,145,166,027,288,947,969,
210,757,934,861,975,751,256,838,452,162,130,831,390,952,384,078,036,709,158,
638,114,980,189,226,720,876,298,959,775,030,763,272,636,052,547,234,273,478,
716,421,324,143,255,194,689,627,862,327,282,532,812,910,254,820,104,964,613,
528,069,392,440,525,680,388,081,230,445,767,700,441,633,914,114,356,653,167,
731,776,685,653,142,420,565,167,652,107,999,105,639,209,870,262,482,372,812,
194,794,789,573,403,108,862,486,482,837,048,417,703,334,083,411,054,412,762,
139,194,707,087,686,468,696,550,278,841,250,389,680,076,691,189,898,734,913,
924,022,201,278,623,894,677,166,186,705,298,201,195,932,468,377,383,464,985,
607,858,758,421,166,179,484,398,927,968,458,137,400,988,067,928,527,268,704,
774,255,909,424,611,790,317,324,374,466,434,741,929,416,270,774,244,011,985,
399,271,315,096,170,815,228,917,918,355,634,559,374,754,952,454,991,969,539,
368,813,821,296,204,364,166,317,024,371,066,956,620,273,010,096,471,255,905,
572,966,907,514,191,218,941,605,080,678,257,548,200,517,901,731,359,815,359,
200,547,989,646,099,634,489,025,154,546,760,237,818,102,807,623,093,322,464,
858,377,215,961,660,293,932,679,476,798,182,653,023,550,379,281,325,256,941,
366,860,735,565,801,586,631,056,447,880,886,807,711,679,901,388,040,248,502,
938,678,618,547,963,839,588,610,148,013,279,710,995,167,038,564,482,767,305,
889,600,258,033,522,504,544,205,544,476,289,416,168,869,008,405,168,202,662,
585,471,383,735,600,422,781,049,407,625,755,954,632,897,591,449,047,204,294,
139,327,838,107,702,531,881,098,877,442,374,095,100,463,604,609,231,713,032,
319,822,002,212,402,665,412,407,021,277,607,484,251,271,827,210,305,543,283,
121,244,745,317,805,231,777,444,236,787,305,869,346,762,412,297,328,938,999,
519,067,304,342,333,299,036,199,228,680,638,012,153,487,118,645,325,684,298,
899,119,489,659,345,223,217,536,832,293,612,621,509,585,626,969,129,302,973,
340,267,790,781,870,036,816,109,391,260,706,945,641,817,901,929,201,177,346,
100,292,560,404,749,328,390,629,797,214,393,533,607,942,974,432,030,761,562,
433,955,997,668,176,816,125,688,553,463,034,869,212,663,213,053,282,418,498,
266,040,594,262,081,798,675,078,056,489,083,125,510,713,226,063,066,748,732,
625,768,520,358,860,350,577,917,866,112,321,333,103,688,262,906,102,761,653,
123,040,152,917,691,883,273,565,728,517,869,278,372,815,804,499,434,886,320,
057,986,864,810,988,105,405,907,580,697,776,736,424,611,445,316,756,257,198,
867,992,763,376,616,567,917,328,368,598,790,528,856,771,726,067,342,266,979,
952,131,616,005,546,562,518,172,965,192,851,044,932,482,807,789,545,297,651,
245,636,263,307,581,584,955,542,939,362,599,688,492,113,536,485,683,238,744,
401,319,979,322,978,201,115,035,106,464,299,951,298,780,852,499,088,869,294,
251,502,365,231,571,674,278,309,097,679,073,665,458,950,720,759,802,635,782,
961,712,928,614,918,818,875,652,571,089,030,958,008,875,695,714,177,201,377,
315,773,027,728,619,329,650,283,662,325,924,572,332,043,442,904,558,366,301,
800,617,824,581,824,230,049,460,404,695,861,640,563,887,009,968,642,396,409,
174,260,687,836,293,418,869,496,210,763,001,265,240,550,512,461,924,181,219,
843,317,312,850,289,298,085,924,412,933,717,760,954,083,700,804,214,758,570,
341,729,108,222,191,851,083,664,466,776,831,131,855,627,875,738,098,659,866,
123,698,674,707,744,028,163,679,979,725,094,510,918,057,064,304,815,247,635,
874,369,764,351,741,787,479,594,158,477,796,241,820,778,099,170,168,849,773,
670,015,840,301,139,671,038,736,240,889,696,322,870,745,216,839,729,564,062,
196,847,664,969,992,581,874,353,690,005,827,614,470,726,831,156,321,538,886,
554,361,862,966,577,402,862,620,160,671,565,371,507,113,656,003,549,701,047,
913,070,616,736,130,837,189,781,501,695,053,671,187,434,383,442,422,210,643,
176,178,320,517,409,893,098,467,481,908,394,706,779,709,588,354,272,678,846,
114,554,496,024,473,454,096,695,013,652,716,479,509,795,438,978,254,020,631,
350,809,590,759,092,205,375,392,936,931,752,080,340,397,947,242,261,367,807,
808,632,425,777,049,645,808,036,381,590,647,152,315,898,287,787,837,141,597,
992,314,115,064,675,402,139,382,330,864,233,931,788,004,107,957,210,984,997,
693,814,647,646,149,491,782,966,921,665,753,313,805,730,513,186,367,328,521,
790,355,127,720,109,702,527,894,453,274,784,872,902,446,384,270,566,480,497,
354,140,999,425,446,225,157,349,798,857,925,871,405,619,418,306,713,860,133,
242,114,895,865,738,048,190,947,319,180,622,285,257,992,994,677,996,837,020,
488,391,822,005,784,739,642,847,149,371,935,863,519,174,721,730,911,489,457,
792,695,754,525,658,716,326,923,814,179,445,188,003,404,881,280,663,278,892,
097,339,634,391,530,299,781,043,111,289,289,079,565,351,831,160,334,754,768,
176,094,434,384,988,634,997,346,537,706,366,105,088,144,346,875,426,487,306,
562,519,728,627,163,328,815,846,897,193,613,209,596,114,752,324,228,924,304,
628,586,008,566,989,233,144,837,104,522,467,411,212,821,002,813,576,078,551,
686,694,225,266,466,597,655,779,483,714,815,340,853,431,037,954,088,967,539,
662,454,055,957,376,068,706,554,725,322,802,135,578,906,273,754,574,140,083,
161,150,214,299,837,404,258,405,938,733,711,994,001,033,777,522,687,753,474,
162,117,228,196,117,392,901,413,249,311,900,698,433,088,519,042,995,396,153,
254,405,042,221,320,643,223,019,169,963,693,700,760,139,790,196,657,321,517,
678,161,801,831,630,918,502,358,818,473,823,882,469,827,920,179,473,191,493,
078,647,051,151,211,015,850,276,248,808,871,795,155,257,609,136,994,368,747,
617,673,468,169,681,110,807,319,786,525,930,207,771,474,673,434,312,342,381,
754,877,140,761,425,417,927,535,910,373,610,933,904,129,847,118,824,862,472,
416,548,636,682,651,250,796,473,457,964,080,536,831,923,458,778,420,935,116,
587,085,311,087,167,660,732,210,952,038,512,818,491,449,515,705,527,498,520,
820,918,519,880,898,516,719,622,847,003,614,754,974,685,603,674,679,095,182,
063,948,390,828,816,631,762,565,686,433,320,774,425,735,652,767,744,774,373,
664,411,847,367,393,606,832,307,019,066,823,339,059,331,793,997,357,419,632,
512,247,107,911,804,384,914,459,756,537,791,905,520,391,777,915,140,860,101,
568,744,564,269,402,736,514,629,563,882,003,914,183,277,714,778,074,353,040,
989,330,435,289,553,695,017,895,755,956,063,898,238,704,156,267,692,596,731,
353,985,478,202,650,547,808,313,719,640,627,099,744,067,317,155,244,090,583,
806,408,467,352,602,629,715,693,670,125,083,211,272,196,030,541,380,576,000,
993,109,450,378,293,697,135,386,217,716,841,148,298,730,899,832,154,498,944,
435,315,033,598,172,615,201,678,393,547,211,992,038,230,411,241,214,676,099,
766,537,671,620,466,542,042,826,618,023,394,589,632,920,252,968,102,788,865,
774,010,474,718,914,303,581,897,530,386,861,481,386,525,524,907,644,643,477,
601,101,477,267,659,774,924,714,899,312,314,963,479,997,701,388,540,588,802,
767,335,454,994,252,938,172,322,944,849,190,201,068,458,772,492,987,950,228,
476,098,609,091,395,473,465,467,289,597,744,152,154,742,923,964,851,492,798,
408,484,541,352,081,584,449,292,581,729,117,582,457,172,047,624,987,413,736,
765,654,846,752,020,272,912,145,412,618,206,000,201,518,306,887,193,578,606,
941,851,030,812,703,868,071,698,457,103,171,211,236,013,535,522,428,668,030,
576,219,435,950,911,806,060,742,980,987,454,850,745,256,987,040,200,308,541,
986,349,540,821,726,285,678,144,010,729,111,773,312,533,133,665,325,957,184,
853,034,591,564,756,795,799,406,927,291,844,534,032,085,245,287,513,406,214,
628,414,432,400,624,969,084,136,330,439,270,526,696,783,996,418,881,805,743,
564,741,120,521,041,839,432,594,809,451,021,078,688,288,165,788,231,714,706,
155,095,709,347,203,356,089,763,637,203,832,011,274,779,579,718,509,757,548,
347,252,241,814,655,510,202,912,303,668,528,727,669,282,696,883,650,818,511,
685,121,081,107,182,656,587,886,678,583,716,479,503,067,330,374,912,683,181,
135,740,005,236,525,083,825,738,757,302,882,959,667,335,391,780,878,011,915,
403,123,039,628,291,869,578,778,126,379,658,736,598,448,471,721,353,635,356,
808,727,046,989,615,552,953,553,574,499,445,708,876,313,962,175,919,326,725,
889,241,741,057,949,980,083,457,732,671,784,573,470,062,847,918,230,579,236,
086,569,897,119,910,925,741,732,127,970,517,668,138,134,076,726,559,522,756,
210,820,256,145,472,670,793,258,775,041,193,708,091,185,524,368,887,601,697,
014,083,068,219,453,373,239,768,917,868,069,662,413,812,933,106,546,627,303,
950,885,610,695,696,625,078,901,230,317,068,619,052,998,145,041,629,643,289,
377,142,609,385,908,359,648,151,593,088,516,811,552,626,137,544,682,576,339,
359,711,214,413,003,411,895,615,129,076,007,160,883,222,401,858,990,901,341,
910,518,110,487,629,173,597,637,971,645,281,888,124,408,604,026,089,014,799,
802,781,544,382,110,417,387,017,170,347,795,568,177,993,158,942,718,058,911,
690,428,309,702,939,977,846,366,874,110,198,133,315,971,078,002,730,752,765,
458,741,751,281,327,186,980,956,993,457,110,005,939,727,405,558,224,583,055,
329,494,571,586,731,350,873,141,195,141,351,143,139,339,600,608,693,996,945,
420,810,851,828,511,490,989,421,061,647,802,896,942,107,343,003,386,405,409,
310,767,304,864,664,821,027,107,455,883,622,707,702,384,464,301,997,938,715,
971,583,901,587,835,199,428,215,580,961,151,557,399,322,710,617,239,395,081,
804,361,273,398,044,342,720,463,701,645,919,051,313,334,549,596,763,498,570,
691,886,234,782,086,536,331,450,613,675,999,927,670,529,152,607,108,819,972,
246,803,119,960,461,064,320,605,967,418,946,713,987,665,887,016,605,310,862,
053,135,595,927,335,884,096,422,827,921,031,437,441,149,817,836,223,260,555,
467,865,090,656,389,930,478,264,372,521,067,607,264,953,333,914,751,184,863,
775,964,974,330,568,994,344,829,693,351,263,407,474,189,898,268,964,079,417,
029,356,648,581,390,710,836,003,712,225,573,498,304,852,199,906,720,161,083,
296,958,154,866,829,075,359,337,482,754,578,817,763,484,780,910,415,796,617,
806,003,959,223,418,176,675,338,314,701,748,101,411,578,077,311,581,302,954,
337,618,440,400,289,111,625,562,942,512,878,965,997,218,864,033,695,669,900,
538,179,768,257,532,556,690,742,353,429,645,069,508,204,098,648,615,452,092,
308,843,702,240,312,587,465,588,646,168,722,025,402,425,794,159,747,029,200,
786,191,978,700,413,705,977,876,839,222,870,535,194,058,197,139,405,238,701,
723,845,175,462,170,317,963,665,640,851,441,359,368,893,427,459,911,339,334,
745,973,099,276,592,363,892,914,265,946,882,744,561,363,272,126,342,702,787,
660,795,455,412,464,800,405,740,446,136,474,242,535,663,652,422,083,032,394,
428,989,761,827,772,030,829,734,537,760,602,755,183,895,325,417,691,477,544,
129,168,748,758,571,147,542,986,990,261,150,725,994,699,723,204,464,416,067,
272,969,248,423,811,107,848,546,525,287,004,529,632,649,383,271,113,749,202,
026,314,430,435,851,593,618,599,054,397,380,411,717,053,648,869,617,997,834,
363,004,323,887,570,352,739,538,219,843,386,354,054,308,366,961,382,061,193,
178,843,892,272,838,084,519,918,799,866,773,446,677,663,188,734,584,315,004,
609,109,622,113,283,127,830,918,139,085,027,366,272,042,324,807,765,591,838,
306,075,325,691,671,054,989,478,502,354,672,885,169,198,077,093,379,982,346,
437,590,194,306,539,336,601,916,227,510,794,062,802,563,453,228,006,122,162,
914,270,498,204,834,973,517,482,883,761,484,963,085,346,983,436,239,207,900,
915,147,809,867,267,625,646,244,501,481,307,218,782,299,893,711,874,348,403,
421,576,067,858,802,871,091,555,205,758,759,646,941,849,658,170,408,093,743,
469,744,047,284,597,589,685,754,286,801,887,972,017,097,170,762,100,465,448,
394,068,578,362,998,268,200,458,069,289,273,297,354,344,037,332,822,512,551,
770,196,445,262,093,981,116,436,687,469,860,960,156,329,222,064,537,720,220,
809,911,430,152,824,695,257,521,962,415,579,696,594,150,282,311,235,648,176,
731,193,835,146,899,265,363,300,329,849,154,729,522,366,164,218,233,443,396,
219,930,705,520,343,068,212,842,024,908,723,148,675,024,370,682,300,572,869,
306,961,183,347,910,894,725,426,589,482,020,012,362,925,124,214,701,421,629,
591,799,542,932,306,810,814,228,923,659,719,989,579,483,951,102,578,400,946,
875,814,388,374,217,195,421,684,597,140,687,219,252,579,315,796,336,175,679,
404,650,289,938,980,157,251,823,594,849,436,921,608,788,189,970,187,322,336,
317,476,526,106,288,804,730,212,506,814,298,792,337,093,475,891,606,414,466,
099,382,992,135,301,666,674,298,230,314,747,788,819,512,270,566,432,602,654,
743,053,519,678,349,219,083,413,914,014,387,363,110,294,703,860,266,148,340,
086,981,426,052,208,674,459,106,446,716,126,523,422,300,456,678,741,750,265,
658,561,131,888,099,629,411,006,439,561,280,473,410,975,971,196,835,271,450,
975,166,407,600,638,620,648,068,768,250,787,970,112,496,164,663,003,659,690,
341,445,539,974,728,116,826,009,167,273,601,259,317,995,576,611,114,395,705,
291,619,184,338,003,804,123,833,606,915,789,600,290,250,484,369,774,636,795,
829,139,019,256,083,627,498,796,264,707,411,538,313,194,070,575,535,922,478,
422,648,610,708,803,045,859,677,771,102,689,477,649,750,134,331,276,217,610,
445,822,267,040,646,567,625,565,024,906,124,638,847,073,632,434,878,389,376,
926,689,507,749,800,875,855,530,997,281,155,802,652,878,406,176,747,197,286,
361,169,570,047,374,576,711,046,189,340,091,205,009,470,135,884,323,110,191,
610,130,201,531,957,406,984,460,992,931,216,111,953,501,402,341,730,151,527,
278,438,962,300,603,404,345,077,976,498,601,460,326,368,113,936,217,361,012,
580,911,031,643,400,406,653,726,252,640,903,803,624,736,182,355,745,900,281,
688,196,696,072,344,198,868,182,179,516,283,761,247,839,385,950,024,203,669,
597,917,172,763,236,909,661,503,893,235,118,665,840,232,882,828,533,600,890,
844,967,570,711,992,436,241,018,079,889,585,748,922,784,435,554,330,784,445,
935,205,784,296,200,885,955,659,086,541,426,623,717,746,649,342,419,601,056,
717,997,009,289,562,473,424,534,402,631,649,430,875,760,074,549,165,688,507,
941,649,800,745,467,570,106,167,401,521,611,849,312,297,232,460,283,146,155,
990,757,073,031,145,183,503,822,521,998,381,375,550,971,943,269,519,954,967,
095,405,818,106,418,102,991,652,971,715,170,290,383,502,580,894,113,506,474,
672,598,027,784,539,378,003,204,220,931,501,971,620,814,702,979,596,456,630,
873,046,684,331,123,594,002,500,696,426,205,075,311,703,657,923,922,283,518,
522,150,350,377,049,532,250,830,284,666,601,509,638,642,553,576,101,050,523,
186,834,962,939,330,494,207,926,818,192,347,608,266,420,696,167,735,324,419,
628,519,437,853,208,732,996,720,970,013,047,683,158,719,091,588,908,903,943,
883,609,987,934,748,949,613,907,334,045,602,310,538,526,436,086,426,723,375,
450,717,554,349,374,288,439,963,149,391,461,165,515,398,795,193,030,436,601,
752,632,291,313,610,795,455,053,445,492,230,386,492,251,228,850,405,433,833,
532,403,534,591,108,305,570,548,531,444,958,497,189,752,309,477,308,057,046,
183,575,273,575,980,957,834,588,013,893,189,537,496,707,669,568,764,749,828,
189,648,072,544,504,896,874,441,063,422,774,435,144,421,231,169,326,533,903,
680,719,859,236,462,077,377,941,950,431,571,087,579,073,505,643,415,822,093,
921,648,165,382,959,835,709,590,631,487,941,122,852,733,992,514,201,694,976,
809,646,968,842,815,984,928,808,511,400,037,727,865,156,875,291,888,205,393,
207,194,494,228,166,417,247,937,917,598,305,199,614,744,964,292,805,243,543,
128,416,637,650,353,672,643,914,046,944,860,190,391,359,535,567,925,877,083,
496,834,856,602,352,561,235,516,528,928,297,812,776,160,770,733,082,489,921,
959,257,855,325,385,004,898,796,518,799,667,021,028,174,141,670,831,468,553,
100,750,085,520,829,530,138,433,397,162,020,725,661,555,077,304,763,119,407,
075,495,318,642,791,800,880,390,946,884,172,007,114,950,094,299,778,446,732,
864,129,282,751,783,278,401,693,248,716,339,686,729,470,831,595,150,784,483,
201,564,665,196,278,904,715,507,383,651,313,265,414,003,667,602,581,320,261,
387,543,710,913,187,417,789,307,907,744,621,544,394,408,145,706,446,243,222,
689,031,557,988,600,429,869,104,208,451,324,303,107,078,096,305,833,807,039,
849,976,134,335,112,985,645,230,230,278,368,250,132,377,705,058,656,291,675,
093,059,327,735,362,057,020,762,088,931,055,997,292,070,510,052,925,255,945,
133,781,692,044,656,274,026,869,368,604,732,053,241,546,838,897,063,430,769,
920,934,465,081,761,515,576,239,774,092,895,079,932,070,271,803,661,840,485,
199,385,874,794,465,477,539,318,598,693,534,813,967,159,307,710,452,041,655,
472,122,271,276,772,099,716,427,870,080,697,973,594,651,251,580,319,404,954,
741,099,931,583,096,778,291,661,840,166,125,844,723,424,888,705,131,037,613,
275,719,411,061,737,200,329,198,321,099,174,651,509,832,809,751,538,160,700,
897,025,002,452,869,466,865,012,976,273,870,562,970,043,807,849,460,309,334,
911,879,737,864,332,232,380,233,440,125,581,026,821,425,850,536,850,594,870,
877,344,890,011,533,239,978,155,230,689,644,220,673,684,816,414,217,174,180,
850,980,063,683,360,300,027,124,948,278,036,955,514,872,190,074,709,256,656,
290,447,999,987,314,947,206,211,615,271,159,642,358,328,573,722,906,083,944,
502,015,331,048,833,776,556,074,603,758,779,478,457,033,461,772,795,227,413,
016,895,354,929,584,921,797,927,764,698,995,259,159,644,198,770,527,801,404,
073,789,688,297,680,428,535,629,734,550,853,683,004,388,842,719,698,068,754,
808,899,472,357,340,190,331,442,554,169,725,662,959,604,149,259,414,388,271,
098,505,760,753,441,276,994,196,944,527,738,514,218,114,741,506,766,863,965,
156,181,718,865,653,861,406,125,939,625,018,313,965,619,611,574,187,236,827,
590,870,587,256,668,929,138,815,163,036,150,996,810,693,202,499,401,211,390,
144,394,450,755,538,324,862,968,297,874,223,022,360,796,463,064,189,906,236,
583,400,298,044,790,898,389,914,193,189,098,977,039,077,992,626,572,900,110,
446,940,612,048,697,014,301,793,143,365,882,679,311,537,659,386,831,741,753,
540,102,757,229,566,822,700,032,649,856,884,897,485,318,013,150,892,139,564,
731,181,615,085,409,309,126,783,479,404,594,295,750,158,387,976,138,996,847,
680,165,788,833,676,462,694,085,227,984,226,923,283,217,057,595,121,471,176,
765,508,335,269,198,944,930,306,477,686,158,060,094,142,496,689,569,320,208,
444,401,195,807,810,289,473,976,888,495,426,596,057,158,235,987,831,073,719,
710,893,448,970,679,727,234,317,100,350,801,149,107,184,130,225,904,532,974,
351,992,051,792,730,129,976,731,455,962,759,281,590,981,213,948,682,114,417,
190,535,770,718,835,697,388,740,464,584,522,960,598,001,094,217,421,874,597,
989,174,209,546,673,235,365,040,544,690,217,683,708,755,726,976,665,274,871,
215,645,669,321,584,478,484,875,150,637,632,541,826,011,915,399,367,194,129,
807,292,480,735,290,338,133,368,482,169,453,403,378,281,385,147,645,061,081,
895,829,118,261,144,554,763,008,779,176,000,299,182,867,100,330,746,492,381,
424,020,956,336,076,378,903,854,871,458,640,511,342,149,114,951,590,067,732,
720,835,934,387,689,511,720,936,340,879,075,254,740,196,020,244,200,570,230,
680,746,285,614,315,519,646,866,265,097,318,276,200,012,194,083,316,230,365,
706,542,641,100,079,403,397,869,839,734,931,228,752,936,971,447,989,801,678,
382,421,410,982,146,592,962,909,450,244,842,217,784,200,946,429,085,547,657,
907,870,256,174,577,602,487,001,327,253,354,450,730,093,091,034,946,054,720,
844,247,289,635,565,443,196,652,341,184,451,774,924,433,495,535,999,491,989,
457,947,498,086,584,121,357,934,318,987,086,091,250,601,815,220,694,209,886,
855,884,747,660,345,630,391,320,769,348,218,064,560,526,755,546,774,434,656,
457,418,835,379,834,918,023,234,446,894,328,460,301,900,045,103,554,787,345,
076,755,648,564,233,507,478,987,778,502,147,491,340,307,568,376,848,497,964,
944,574,284,408,478,433,082,194,809,058,226,049,179,665,457,078,490,870,654,
722,812,966,396,030,174,583,157,053,729,783,188,836,067,733,185,279,567,459,
321,687,832,852,193,360,902,458,549,952,213,022,056,899,455,166,812,987,331,
754,498,911,727,686,203,022,479,318,649,596,726,246,559,828,098,034,859,488,
469,066,781,934,118,223,315,532,012,182,738,144,423,656,893,852,352,122,022,
595,463,947,397,195,593,856,177,559,678,295,494,556,742,935,621,784,056,445,
389,773,332,953,149,786,179,326,921,955,179,667,511,432,032,649,028,085,975,
633,587,082,966,775,862,878,620,201,433,957,560,864,229,655,232,942,106,508,
602,192,069,980,466,070,625,317,079,911,829,546,374,390,921,015,391,814,970,
383,336,196,679,989,693,828,230,988,535,487,708,744,992,974,728,736,757,794,
717,477,213,853,172,153,911,584,996,736,568,828,201,800,507,499,025,973,568,
844,879,327,002,545,825,748,098,511,649,835,040,950,280,696,349,358,726,899,
820,633,219,301,299,959,589,850,971,787,618,296,303,198,416,466,452,134,728,
418,467,822,818,584,648,771,934,930,456,662,580,551,190,179,295,006,639,196,
367,440,180,883,921,291,505,589,093,092,674,094,600,865,357,497,271,798,743,
699,437,612,175,555,872,632,302,330,622,922,641,451,768,176,662,722,072,835,
883,049,323,007,296,970,373,682,723,104,835,255,810,056,680,209,136,405,824,
289,345,248,003,375,383,542,704,393,849,043,867,146,550,241,995,751,441,713,
220,058,278,024,765,615,441,351,076,888,253,539,083,344,740,707,462,238,342,
381,593,261,407,747,344,112,023,348,934,530,561,082,427,623,161,710,147,902,
927,128,547,405,128,222,198,918,879,052,824,280,870,315,780,502,309,025,622,
928,246,489,393,496,975,580,464,972,075,992,092,911,967,682,412,803,768,080,
124,370,208,002,477,841,789,050,878,378,249,293,021,674,162,326,887,098,995,
329,919,162,914,178,561,599,102,583,387,559,335,387,747,011,984,040,698,448,
150,085,738,289,863,577,078,840,365,514,539,865,055,328,580,318,111,849,732,
181,506,347,316,406,657,042,737,794,811,186,655,336,641,695,227,039,917,882,
762,601,360,818,301,347,197,013,549,051,887,612,887,368,040,373,211,279,761,
300,137,946,554,273,827,794,468,994,094,231,031,943,754,929,058,284,707,570,
849,415,878,153,592,353,038,262,830,485,518,109,472,996,820,341,789,975,342,
375,190,581,574,074,941,812,388,056,105,483,984,399,582,805,597,658,323,877,
252,347,322,130,485,341,704,105,611,730,785,873,240,178,700,255,280,564,961,
080,967,409,345,755,782,124,129,575,655,629,338,657,473,426,190,243,138,387,
408,149,949,121,708,984,000,550,871,013,232,612,061,247,897,353,278,314,936,
753,884,720,423,824,229,638,869,054,162,916,110,835,021,843,605,941,671,766,
029,321,806,797,198,877,894,497,067,067,143,829,053,360,965,856,009,400,726,
579,187,758,924,289,581,949,357,016,999,525,618,283,067,421,983,930,232,499,
278,003,822,521,273,733,068,357,090,352,843,294,347,182,789,218,670,987,245,
775,627,259,055,281,258,430,747,095,387,629,015,997,164,987,769,900,846,899,
945,959,496,175,188,631,585,733,397,398,569,261,478,130,849,631,845,265,307,
079,363,058,523,416,234,758,981,909,529,574,874,041,811,141,798,009,354,789,
477,283,751,673,042,071,993,709,705,441,353,830,960,171,737,507,039,055,438,
233,039,928,006,912,902,928,054,035,678,201,895,533,551,930,659,858,580,737,
415,282,473,812,881,936,833,485,778,420,816,229,829,158,023,792,266,643,372,
543,451,296,732,432,946,684,588,296,652,905,976,290,554,598,698,022,941,859,
023,092,583,232,200,927,537,165,066,795,617,927,251,576,059,482,647,498,805,
853,818,193,178,788,157,163,076,777,991,819,879,729,554,139,765,039,352,491,
692,365,295,346,614,212,263,054,132,778,997,505,217,787,140,597,639,006,802,
673,831,672,309,627,300,519,180,308,968,010,694,495,941,388,919,294,201,074,
294,115,395,522,623,005,323,072,362,611,773,235,303,756,194,914,407,589,994,
319,623,915,123,160,251,219,967,575,953,343,705,413,862,738,164,670,936,962,
081,429,530,093,281,406,701,738,329,076,331,202,837,438,281,105,689,125,218,
221,607,227,276,288,587,636,485,924,491,887,819,310,838,753,243,617,640,446,
162,877,448,842,515,327,576,642,628,252,724,091,950,247,309,251,238,791,627,
465,240,052,773,334,353,880,444,787,857,218,615,335,447,456,193,439,276,503,
613,913,317,443,007,833,530,218,850,191,010,359,714,392,977,054,728,728,064,
128,334,237,700,386,608,606,959,303,610,541,997,646,163,312,298,680,853,505,
362,756,676,399,678,234,346,287,301,211,534,505,398,136,760,064,865,365,328,
404,182,639,901,977,368,480,246,407,713,783,859,402,315,630,305,383,754,906,
207,728,135,481,144,441,236,678,460,972,147,539,762,264,948,111,015,042,515,
399,818,565,903,227,701,184,870,113,066,727,543,383,433,298,061,384,907,798,
426,618,609,146,711,202,221,081,950,783,788,428,883,905,228,004,804,543,675,
229,908,979,423,684,580,843,560,809,416,838,691,507,974,694,645,231,458,341,
496,390,863,583,313,964,008,993,254,071,831,467,697,681,797,263,899,686,094,
702,939,751,165,065,846,374,287,501,926,654,023,488,267,771,061,192,314,264,
345,631,158,009,714,027,942,771,410,116,238,468,868,814,845,791,850,225,946,
976,217,437,396,174,328,263,874,523,964,769,515,233,937,158,577,358,137,014,
924,121,714,127,754,652,747,694,150,096,469,166,080,300,827,898,569,337,147,
500,082,935,864,095,478,771,612,171,094,220,531,768,331,039,336,911,441,906,
485,914,206,411,674,976,195,263,822,187,018,272,160,180,082,093,603,134,348,
971,371,690,406,724,370,121,553,838,487,126,044,033,739,754,301,469,170,216,
437,930,281,621,108,654,896,530,585,310,094,326,964,342,455,070,116,080,046,
967,874,571,476,810,485,112,717,285,772,954,569,304,880,726,147,489,637,756,
056,093,900,808,109,458,442,039,213,182,378,210,253,342,450,056,805,500,002,
013,595,713,953,586,025,300,980,323,090,452,891,528,097,835,885,333,021,170,
005,764,339,859,568,409,814,395,625,635,435,402,778,213,674,912,554,739,872,
971,621,472,220,150,637,262,172,943,095,998,779,322,494,903,957,116,965,318,
712,319,584,158,894,954,792,880,776,605,523,806,105,707,940,597,942,655,046,
269,781,426,944,806,582,736,932,863,836,627,685,255,317,738,729,550,940,598,
636,432,000,808,603,117,930,213,627,972,083,338,443,173,147,607,286,851,663,
289,262,933,336,822,800,475,809,270,804,467,096,337,045,716,172,092,348,996,
331,162,750,056,277,001,754,916,073,533,321,839,833,760,517,309,186,392,369,
727,130,164,578,783,623,963,589,855,376,920,681,220,358,696,225,035,704,814,
614,153,886,015,349,879,688,594,850,630,115,079,159,330,358,609,387,332,104,
338,511,134,721,056,497,076,712,526,513,650,493,830,625,194,941,164,119,649,
500,470,339,814,722,443,015,774,027,195,571,247,434,406,571,284,216,950,939,
692,729,136,975,268,905,714,593,088,266,696,623,040,099,666,163,930,444,615,
443,226,454,481,600,117,202,281,680,858,299,483,091,193,854,861,917,206,487,
082,393,409,757,276,282,250,366,743,024,878,511,707,146,337,656,520,022,418,
216,728,498,547,780,446,267,558,132,090,653,790,119,314,190,281,919,880,282,
401,049,273,312,702,967,441,539,121,861,139,163,135,780,737,419,691,500,163,
027,412,491,935,299,831,498,914,407,403,376,441,149,187,917,414,126,731,020,
172,058,672,879,927,678,162,248,276,345,034,893,256,627,668,870,330,489,836,
004,241,831,135,806,545,370,158,408,925,290,952,074,171,544,610,895,779,052,
236,210,850,270,526,462,165,270,030,136,397,627,432,468,929,394,775,849,970,
945,820,146,549,562,119,885,007,233,938,781,004,793,136,643,148,335,831,543,
478,362,688,835,119,449,109,935,869,656,926,476,092,045,195,058,463,087,550,
179,419,151,358,616,140,465,788,548,570,595,518,207,459,135,171,726,768,980,
841,671,604,545,671,921,060,120,163,219,084,947,605,056,235,457,855,305,391,
549,360,477,900,125,412,439,123,303,824,808,748,498,029,550,311,416,671,479,
910,002,669,145,150,837,709,608,129,335,963,202,537,819,205,649,832,965,594,
091,828,222,104,193,774,647,835,193,160,309,283,073,151,949,139,830,210,745,
956,820,636,573,592,916,939,774,698,381,851,564,334,718,208,490,932,261,160,
391,494,581,438,627,853,792,369,597,643,897,515,789,327,409,484,937,342,432,
974,028,720,157,779,252,400,977,781,076,923,594,864,634,149,432,701,621,700,
099,690,553,962,035,166,121,659,392,648,666,310,189,620,351,158,567,384,271,
473,799,782,122,464,531,095,707,343,292,938,705,641,916,136,912,359,276,953,
744,335,453,936,740,575,267,316,373,872,060,929,116,832,612,818,654,479,473,
027,028,843,061,816,615,308,944,643,325,453,853,766,189,501,967,361,801,031,
680,979,844,604,075,046,820,617,923,599,679,300,824,633,322,348,797,786,272,
058,058,765,769,603,186,567,433,891,354,164,481,791,498,073,376,877,405,127,
629,729,026,720,912,006,137,978,193,991,890,071,721,307,710,394,769,877,652,
787,118,501,201,083,982,008,459,089,375,742,544,151,216,008,005,539,719,966,
193,528,790,496,665,971,251,075,613,985,957,545,195,280,134,200,524,847,271,
512,961,518,291,549,653,263,709,548,723,778,450,994,975,309,578,680,123,452,
610,853,442,207,417,422,112,081,368,240,954,145,092,666,794,083,489,402,020,
774,327,532,586,898,513,597,346,559,231,030,115,816,917,145,168,637,947,834,
661,524,984,263,394,585,983,444,408,967,720,061,196,955,124,043,537,879,435,
765,255,821,297,782,755,487,284,402,147,547,003,080,326,017,423,894,193,849,
417,814,681,578,935,846,132,715,227,917,989,351,968,492,002,115,467,723,484,
247,263,785,509,358,775,289,104,855,866,548,569,213,198,301,593,054,359,376,
780,563,345,563,315,081,772,492,342,450,726,227,601,942,947,225,994,181,815,
906,327,718,432,660,667,175,632,569,060,757,406,283,552,373,079,171,552,874,
045,859,744,106,115,644,518,862,975,935,114,461,883,149,126,127,326,417,453,
528,094,659,620,421,330,679,216,959,905,383,128,626,432,398,271,126,419,052,
741,798,241,690,495,353,126,565,977,855,062,097,869,806,671,029,325,976,092,
453,792,639,180,532,532,080,087,042,482,457,128,488,732,433,317,395,767,232,
128,894,140,485,093,981,030,838,600,299,498,693,351,823,950,094,926,501,637,
349,033,886,820,806,026,510,379,119,313,374,427,706,856,504,379,681,232,494,
419,560,998,669,799,100,813,412,989,737,330,653,077,591,141,792,347,548,560,
766,442,965,123,914,066,669,707,103,893,854,524,158,427,233,983,764,581,345,
947,053,560,330,569,085,472,745,605,672,447,658,596,340,814,822,451,279,228,
763,028,455,304,414,913,825,955,758,879,064,074,869,277,223,692,108,362,671,
046,646,607,731,566,398,371,013,183,525,130,846,730,756,059,086,648,519,100,
154,624,069,058,240,956,807,737,158,357,508,668,723,127,301,181,012,774,111,
022,956,549,082,617,378,075,148,823,854,601,651,445,390,420,302,702,392,973,
096,839,655,811,386,684,777,327,960,082,608,276,079,653,423,600,873,078,889,
709,140,116,735,606,560,958,523,995,762,932,004,050,656,272,213,499,356,457,
940,042,668,306,451,229,265,643,048,197,790,319,298,038,746,159,433,971,590,
167,557,828,830,683,149,284,010,869,072,556,103,283,614,734,193,165,343,631,
316,032,314,393,429,095,420,118,653,325,664,371,466,604,946,646,351,170,410,
681,058,420,885,190,285,085,610,250,596,385,979,279,995,748,342,189,507,095,
713,182,706,594,349,402,190,655,990,435,926,620,165,675,396,224,746,868,837,
688,295,704,456,194,172,426,852,181,156,779,171,190,960,001,991,436,046,772,
532,610,034,203,905,645,047,399,722,910,585,947,005,546,915,332,080,524,198,
457,067,074,977,887,512,925,089,165,400,365,692,346,623,342,160,155,691,940,
552,346,794,648,062,112,459,435,260,758,620,630,034,357,567,501,177,493,023,
191,333,947,913,905,926,157,091,198,287,639,673,247,226,567,424,846,998,727,
568,919,306,547,495,805,925,942,551,156,023,963,936,827,042,143,998,522,080,
093,955,266,749,183,574,404,260,996,209,131,924,526,405,770,431,912,175,300,
173,466,767,001,779,506,377,457,598,151,927,378,483,861,326,163,495,570,068,
052,904,060,350,740,402,212,775,544,313,997,172,101,891,091,428,555,570,515,
735,212,573,813,000,300,561,530,540,629,446,618,232,288,285,179,136,240,936,
146,956,989,467,622,440,338,781,555,445,999,207,377,955,039,446,432,765,072,
066,065,923,349,167,131,547,446,186,535,399,253,490,247,749,575,425,129,057,
756,609,492,293,006,607,252,736,805,965,373,143,432,377,610,422,112,711,247,
806,658,848,767,519,160,655,624,175,260,666,498,382,801,783,681,860,094,421,
891,158,481,739,173,257,642,812,921,100,737,735,580,077,787,785,592,460,351,
002,238,654,067,199,207,370,759,321,544,229,435,643,154,636,027,596,040,265,
764,163,545,666,466,934,669,752,410,791,657,216,068,391,897,708,141,425,147,
485,438,844,585,936,471,631,330,868,368,170,376,419,962,607,618,961,369,720,
048,781,216,430,921,467,908,050,468,428,574,452,288,937,000,779,432,002,664,
761,537,136,615,721,019,683,027,115,761,813,737,774,662,974,319,220,659,426,
279,517,342,740,911,984,792,910,939,213,276,580,497,294,457,805,885,926,312,
578,751,371,793,971,931,737,169,421,635,795,610,942,489,273,997,730,427,000,
013,047,547,898,281,335,073,666,351,740,721,669,764,389,584,891,308,986,700,
981,481,738,217,860,919,153,270,701,034,764,616,863,885,352,267,539,475,265,
889,787,172,384,365,006,623,782,734,164,572,594,019,710,613,523,299,243,736,
636,114,358,827,006,795,335,624,120,073,699,279,571,648,875,666,264,066,770,
627,368,693,728,323,802,988,454,174,058,751,251,370,123,605,365,346,327,004,
383,342,457,206,304,188,093,101,504,527,475,664,790,114,463,020,938,176,412,
571,915,981,929,118,494,832,223,844,526,740,622,575,561,903,942,117,972,831,
209,672,319,113,099,414,826,389,035,600,006,762,738,994,764,489,984,123,222,
539,848,006,678,130,981,370,346,330,023,834,001,869,285,501,789,593,689,418,
137,362,866,176,759,292,802,097,066,474,323,776,903,868,939,175,073,887,070,
652,207,639,294,962,216,841,105,663,591,430,146,620,134,294,947,603,319,500,
248,857,446,118,438,220,922,521,726,648,422,100,126,047,451,782,588,681,548,
057,941,833,464,737,049,292,224,172,989,579,796,723,184,772,589,973,035,718,
282,807,957,948,891,502,035,928,188,148,338,490,800,603,820,345,115,259,386,
596,050,849,211,268,342,874,858,141,283,494,124,157,388,754,443,327,435,949,
610,622,871,390,478,878,392,057,725,021,231,349,928,641,661,881,508,363,693,
783,010,407,427,453,844,242,185,813,197,780,858,917,667,899,032,062,696,265,
682,544,256,068,326,601,717,753,397,091,493,921,331,094,572,965,534,541,588,
092,785,401,098,141,074,127,493,820,995,711,447,261,887,560,229,364,757,990,
626,373,565,676,201,895,778,615,705,670,376,417,161,883,599,656,456,865,914,
414,344,158,027,359,819,950,308,637,384,742,115,670,229,288,228,576,990,944,
844,874,808,066,362,460,229,365,450,515,255,430,669,203,663,608,412,154,955,
491,717,504,312,919,467,104,883,868,992,679,624,654,183,789,704,270,774,941,
167,952,303,042,157,378,208,198,281,763,928,510,590,446,411,072,502,004,266,
023,996,573,283,236,794,317,397,542,139,070,690,105,120,502,950,549,771,123,
878,443,220,152,983,042,410,536,760,290,658,993,753,196,635,973,952,540,738,
441,482,005,632,419,964,452,364,349,613,054,587,885,324,294,407,187,103,372,
032,078,006,347,037,739,272,444,961,624,401,843,048,654,126,941,387,985,793,
674,306,390,700,458,458,548,251,829,191,213,976,018,841,076,663,195,269,413,
384,209,961,922,108,702,554,460,248,370,222,402,614,554,069,073,760,676,648,
450,745,280,344,650,508,723,552,683,382,057,442,419,693,485,209,286,660,381,
095,264,909,978,110,688,760,164,498,529,074,648,050,698,321,000,422,192,697,
030,519,813,700,464,510,698,156,595,278,879,611,253,426,839,026,107,536,755,
382,664,514,429,535,852,444,627,525,098,832,484,266,565,546,075,178,457,266,
100,623,279,264,304,269,244,936,255,086,010,657,753,949,981,701,428,206,672,
095,676,209,745,561,127,428,342,215,391,981,572,236,509,363,431,539,075,702,
441,227,216,645,679,850,295,392,425,138,412,763,943,015,681,428,295,589,347,
753,246,272,586,992,855,705,951,608,728,014,705,965,282,115,056,056,701,132,
269,994,560,377,953,381,619,517,575,372,849,421,059,438,243,801,728,474,531,
544,547,961,455,521,832,145,878,618,950,086,099,680,583,005,829,067,270,017,
236,171,876,803,455,739,514,483,301,107,523,964,035,771,739,714,073,485,140,
752,091,799,213,356,860,129,370,933,820,459,454,084,726,594,680,912,756,485,
320,979,957,528,144,488,730,744,005,380,081,031,369,561,830,552,108,148,421,
503,421,004,660,124,243,516,494,833,275,654,352,145,180,823,771,258,516,718,
137,769,415,406,385,847,826,978,367,186,980,899,763,398,489,838,124,714,991,
779,158,613,240,639,360,224,311,991,797,480,209,281,330,109,601,366,645,590,
237,672,044,335,742,586,104,303,509,488,499,004,744,431,145,471,291,210,977,
642,757,647,138,734,686,241,423,245,481,356,774,384,111,352,684,791,685,389,
377,003,832,529,257,689,940,322,046,164,053,376,808,343,289,607,812,650,351,
628,657,760,651,074,697,549,294,720,904,041,768,259,794,885,432,502,987,938,
361,290,191,040,220,200,640,288,228,082,841,141,296,209,578,138,894,471,716,
029,578,167,366,537,016,991,879,466,129,706,653,602,998,258,426,271,369,568,
051,813,308,476,167,795,398,925,685,859,227,170,985,075,832,336,237,342,744,
191,081,417,912,164,353,320,561,645,160,996,306,328,958,181,043,508,042,858,
157,923,577,157,025,395,810,572,716,246,766,785,852,817,612,016,883,727,867,
099,792,022,321,692,295,201,793,706,518,293,577,395,911,758,431,824,058,322,
584,158,696,315,416,830,462,598,541,699,913,116,142,468,936,434,603,229,704,
378,512,273,421,524,596,559,220,248,935,024,443,505,598,815,641,634,626,685,
092,357,093,042,299,965,948,310,707,277,106,375,675,684,113,699,265,743,724,
571,003,031,326,430,085,413,012,807,186,716,816,814,138,366,153,821,305,900,
811,612,537,979,181,043,997,673,785,264,236,330,900,656,959,537,266,398,459,
700,816,504,288,385,349,567,569,395,498,524,841,829,191,492,298,416,325,032,
310,308,572,286,214,487,150,628,953,502,442,487,304,906,172,952,661,683,204,
911,930,998,021,439,017,344,641,187,703,520,880,854,597,294,844,414,973,836,
847,367,017,596,984,762,901,528,644,622,610,964,700,313,927,651,140,748,156,
823,245,520,019,735,211,968,136,080,625,852,870,268,995,917,273,501,944,169,
970,636,081,981,721,348,048,855,454,785,221,594,829,017,017,310,150,262,382,
281,647,050,144,777,655,270,964,626,804,251,540,655,963,726,397,705,488,508,
754,922,833,299,970,867,251,654,098,095,078,163,403,393,341,447,118,496,894,
686,498,305,570,646,542,451,784,114,351,476,317,169,148,399,730,304,823,560,
536,984,584,762,729,574,233,470,811,568,974,098,699,267,982,942,232,595,633,
681,764,855,357,077,359,509,013,122,596,788,974,063,224,915,809,475,247,838,
341,234,115,466,228,161,406,977,094,680,857,060,775,024,579,644,428,555,380,
227,384,242,181,099,963,334,284,224,887,058,709,979,625,348,073,991,993,724,
981,883,184,058,199,422,223,205,250,739,318,763,787,546,424,292,889,236,614,
105,598,212,779,047,968,547,564,537,539,506,664,482,612,754,576,640,274,851,
104,958,448,538,835,986,324,766,233,335,063,933,393,522,911,545,163,154,494,
891,084,845,337,699,115,616,518,783,607,355,146,940,279,877,562,557,723,523,
886,526,768,779,867,034,228,705,611,606,561,084,363,346,333,951,091,540,273,
973,238,176,239,320,731,406,251,458,083,652,574,486,742,766,895,659,963,110,
174,222,160,694,775,569,870,767,945,836,282,262,748,959,375,634,602,896,170,
245,587,192,670,613,738,043,645,356,645,714,294,070,157,829,529,753,813,708,
053,637,664,508,967,664,273,916,278,809,170,374,400,927,987,230,107,285,575,
082,226,159,175,564,069,908,447,752,297,384,106,584,908,935,508,397,223,986,
724,002,149,284,816,160,617,484,495,497,542,750,688,172,700,731,572,805,223,
961,548,793,843,741,869,623,083,352,805,140,970,771,294,804,014,925,883,143,
877,320,656,431,408,827,075,609,632,579,750,436,462,180,826,045,519,186,948,
026,657,049,488,124,283,558,019,196,104,896,390,654,299,968,919,208,317,776,
496,928,736,639,947,775,817,080,842,235,521,686,650,452,988,773,719,142,888,
459,945,159,321,059,449,776,405,283,127,455,501,620,176,962,304,394,597,107,
654,453,995,456,848,033,249,844,306,901,615,683,739,968,851,660,548,337,088,
205,434,105,186,775,742,048,364,850,697,776,146,199,003,824,149,079,358,460,
671,076,720,818,020,600,358,472,388,895,680,396,656,781,430,312,273,501,760,
211,604,624,869,070,491,550,798,232,324,748,920,564,333,485,816,451,490,831,
995,313,104,045,065,267,982,939,362,886,887,099,561,897,998,797,400,814,447,
643,469,953,345,316,427,490,096,408,110,284,217,486,006,018,138,879,933,191,
404,716,118,812,744,703,525,854,327,823,666,001,882,661,259,084,556,567,584,
064,178,798,909,652,589,957,525,170,523,083,756,907,492,264,182,920,131,562,
734,588,558,725,939,097,070,366,674,954,952,674,696,276,309,627,246,262,644,
415,243,841,958,125,765,268,963,854,691,611,432,277,283,049,762,818,569,371,
214,333,197,029,264,590,774,982,083,536,428,818,557,384,230,896,969,882,744,
447,344,861,599,526,499,249,753,512,425,224,962,445,030,033,733,821,412,389,
136,800,083,068,790,408,844,992,766,285,625,049,938,612,597,730,430,602,173,
371,317,467,880,030,902,980,450,026,490,723,825,215,898,445,130,073,529,104,
564,611,971,278,215,354,489,705,355,177,972,240,017,652,903,557,626,034,934,
274,036,909,163,106,645,777,513,374,510,410,440,810,303,594,489,160,525,061,
321,469,844,791,483,029,822,384,679,729,251,413,207,522,839,667,752,443,052,
857,278,481,576,817,016,368,166,391,897,660,232,751,482,704,377,144,075,352,
159,995,263,762,169,873,401,579,556,846,180,638,257,278,848,402,749,683,693,
331,059,070,239,684,766,985,335,619,935,223,547,187,560,922,063,128,150,673,
712,196,767,930,050,032,382,191,355,813,233,427,176,643,155,842,085,232,270,
998,424,940,891,648,180,860,413,212,216,237,895,469,895,976,260,334,307,813,
544,872,236,376,667,778,885,859,080,814,456,233,298,834,455,687,788,734,701,
103,117,205,239,112,040,210,800,246,711,366,045,113,814,477,455,412,514,772,
319,383,339,921,904,893,693,288,648,571,130,376,732,229,620,141,769,817,141,
225,697,782,652,744,234,729,972,019,698,686,065,697,454,431,630,245,290,684,
362,059,581,698,872,019,649,791,628,654,604,503,994,671,089,651,239,415,706,
618,385,465,181,573,798,685,832,535,411,165,746,510,929,651,015,928,339,724,
535,915,738,155,160,625,929,718,003,347,179,722,423,661,261,028,198,636,873,
713,865,436,973,876,093,008,550,136,589,155,748,506,055,685,716,353,573,420,
494,455,932,382,577,769,396,897,835,478,624,135,670,022,692,876,157,649,722,
043,090,353,330,905,456,061,268,443,791,175,490,777,483,381,192,806,016,029,
531,435,913,158,139,619,890,575,690,057,209,231,495,543,380,188,192,179,036,
984,334,322,972,353,320,398,043,706,211,018,368,685,800,859,655,271,798,937,
520,556,461,021,091,773,100,767,086,154,940,304,323,324,909,466,716,996,257,
252,259,849,950,818,888,406,010,229,199,873,520,799,087,351,962,814,405,336,
390,554,037,196,396,392,095,848,101,567,039,786,144,318,996,580,906,391,984,
240,037,610,939,472,022,264,866,015,233,426,062,307,757,359,507,766,147,304,
939,969,786,605,596,925,311,476,707,836,815,587,719,851,793,019,761,119,954,
962,813,931,874,600,454,008,905,264,906,000,235,086,755,026,952,915,839,173,
252,728,428,406,292,857,204,125,223,211,764,713,934,922,723,781,196,864,868,
355,559,518,726,892,978,626,184,740,379,285,106,854,671,220,730,225,269,947,
601,041,083,686,019,086,933,329,687,650,144,294,951,602,336,949,968,635,314,
578,699,538,260,724,686,450,192,124,411,937,127,979,867,389,384,292,828,936,
226,287,372,237,448,677,198,535,333,675,569,988,949,223,817,691,183,438,781,
345,178,655,979,395,229,956,110,377,150,524,182,462,313,297,822,036,079,368,
691,583,408,950,635,301,531,288,986,513,459,137,382,258,611,385,410,124,603,
469,374,112,824,816,593,841,813,919,821,021,730,959,741,991,993,257,913,489,
874,961,865,608,458,999,222,901,868,256,227,756,138,208,614,600,638,454,552,
095,067,695,812,466,101,927,341,376,312,904,173,275,215,810,586,103,418,622,
174,312,451,521,787,977,286,505,074,877,275,299,891,676,866,606,914,224,418,
414,553,455,567,136,213,447,176,163,695,428,619,571,482,292,494,306,237,964,
853,637,488,405,771,319,420,045,752,612,685,196,996,627,059,731,940,952,298,
835,410,977,558,540,010,455,194,418,456,293,746,355,166,699,419,187,180,152,
651,918,406,406,956,062,583,856,284,052,817,094,024,412,470,196,622,562,371,
802,568,902,938,034,841,314,888,906,287,375,549,063,463,047,069,761,134,942,
201,938,073,498,527,109,168,310,897,352,088,748,151,722,018,131,508,044,110,
804,689,484,700,305,979,834,555,390,546,495,628,452,562,775,974,360,767,700,
373,434,705,527,564,785,602,768,350,412,991,480,474,503,825,775,406,155,805,
044,962,304,679,105,883,849,204,306,088,660,683,209,713,814,910,354,149,187,
361,121,715,370,419,146,080,502,298,813,964,954,950,383,376,707,691,312,666,
730,825,149,889,617,752,927,614,022,644,544,223,214,076,189,201,862,977,032,
027,766,133,304,824,004,256,785,023,288,387,050,700,748,286,085,508,751,019,
253,557,122,163,841,769,380,001,167,404,212,194,960,823,519,418,942,786,584,
729,966,506,368,383,069,693,339,668,174,693,162,927,278,061,097,989,305,710,
335,463,591,149,123,115,025,672,417,773,008,008,585,504,307,971,731,715,070,
265,599,313,942,490,541,511,217,871,363,732,875,241,282,200,778,306,613,998,
135,777,159,575,481,399,740,493,634,919,123,497,874,088,916,867,039,052,161,
909,227,742,000,541,733,430,866,547,692,595,273,723,674,377,601,869,116,034,
368,457,476,756,355,962,656,952,442,323,505,286,912,727,213,552,723,014,480,
505,154,715,278,724,110,005,232,298,058,485,411,825,394,932,074,081,000,590,
641,516,080,767,543,876,871,717,637,013,726,898,053,076,309,920,613,181,076,
911,176,632,904,834,760,701,661,063,100,697,194,376,367,460,171,266,474,753,
206,416,858,923,699,337,267,860,662,972,403,929,732,572,974,299,725,851,027,
984,470,560,185,710,056,965,203,568,578,585,120,761,552,914,959,448,660,943,
704,153,712,606,272,100,457,097,826,464,389,400,786,313,354,106,857,199,316,
507,972,809,393,102,744,079,296,669,736,826,368,450,360,683,224,684,846,618,
763,662,086,850,469,509,002,516,560,541,876,145,605,770,695,938,309,434,168,
570,168,765,750,952,175,494,244,065,238,600,953,714,692,915,369,713,406,207,
870,657,274,450,613,634,462,583,727,966,957,878,101,770,742,722,650,282,962,
696,004,163,068,977,815,192,811,871,382,016,796,074,424,308,731,363,291,911,
481,471,410,893,302,939,481,982,204,476,192,142,674,327,077,713,869,749,723,
638,419,922,650,356,590,419,279,354,059,245,990,376,912,218,593,283,069,524,
631,454,288,931,932,092,990,150,337,327,185,164,524,960,686,948,285,208,258,
469,612,955,901,431,444,896,664,694,003,011,251,873,160,808,983,844,186,761,
024,911,378,303,652,039,137,455,153,813,958,673,883,207,149,388,029,405,796,
250,984,204,285,513,387,553,966,834,432,485,491,948,131,263,272,052,001,831,
162,602,776,880,013,332,867,097,848,853,434,764,248,101,586,401,333,762,864,
638,947,160,936,648,392,676,962,187,665,206,034,765,534,817,765,708,625,410,
406,470,335,634,630,035,881,722,732,092,009,311,935,088,912,492,805,326,218,
682,912,388,416,694,442,795,852,293,785,210,009,556,255,864,523,820,057,282,
190,884,773,496,044,723,749,772,361,031,654,105,779,277,797,566,415,806,110,
068,289,565,483,452,538,266,476,921,193,615,164,568,447,289,295,765,554,652,
835,975,657,943,327,330,468,991,317,055,101,366,846,310,840,726,749,679,004,
277,599,584,921,348,561,273,674,593,793,863,318,869,814,823,501,506,773,513,
701,598,799,766,807,003,133,447,751,292,719,524,736,628,618,576,585,246,838,
868,859,283,159,048,823,243,392,530,372,163,138,938,366,082,709,520,655,050,
160,291,795,224,498,499,848,169,538,302,212,761,109,055,566,113,087,748,708,
588,748,597,199,098,542,675,872,476,117,440,618,030,381,855,461,384,195,921,
013,778,453,875,812,424,210,217,568,422,484,996,584,806,582,425,530,175,628,
633,790,593,631,606,691,392,256,515,012,228,851,092,631,538,146,883,300,340,
196,854,670,021,368,540,084,297,570,292,939,651,366,590,306,800,186,510,482,
643,020,695,809,546,199,473,747,634,239,356,980,226,796,157,252,186,042,812,
972,609,967,017,768,745,883,086,633,440,820,837,434,398,747,781,398,977,674,
384,831,716,539,021,890,084,870,075,788,554,630,998,487,081,892,838,850,330,
933,026,977,420,555,267,678,834,149,381,287,610,779,615,540,795,132,226,396,
825,449,367,298,405,826,318,732,512,062,670,543,481,652,222,519,615,852,836,
388,202,375,006,474,390,544,527,344,147,486,914,534,446,813,046,896,113,678,
145,647,478,596,113,516,912,167,076,880,204,019,664,692,666,490,372,852,903,
751,267,047,789,927,189,575,302,397,940,536,738,312,706,717,407,809,144,593,
512,742,329,147,832,649,462,242,832,236,248,825,721,804,075,257,025,173,255,
718,477,048,269,189,407,425,717,206,204,393,934,799,926,186,005,179,338,131,
894,254,349,986,292,488,138,063,226,219,634,418,752,111,284,184,379,070,279,
915,232,568,989,840,327,320,711,946,037,896,998,673,671,139,992,259,544,253,
471,996,541,696,406,953,722,148,682,492,340,974,829,638,954,192,094,634,322,
135,133,724,732,504,410,689,479,795,020,985,500,203,127,076,209,295,783,799,
336,448,153,500,727,168,975,158,907,098,186,092,851,480,429,867,186,647,383,
067,987,529,803,503,140,493,178,249,878,034,093,968,140,203,423,736,308,326,
330,788,492,514,686,220,353,388,631,241,159,021,874,091,671,270,486,782,655,
944,479,414,755,651,734,229,386,316,334,281,358,749,623,819,368,729,037,010,
104,985,145,791,628,043,981,699,882,392,971,623,715,968,131,652,648,552,512,
411,095,694,124,150,655,361,844,023,146,070,566,229,612,583,304,513,375,301,
893,349,622,250,101,548,661,065,763,523,324,820,645,388,018,552,728,919,030,
538,223,626,474,968,077,218,500,995,231,479,034,060,660,615,002,372,235,560,
665,031,757,935,325,788,475,616,239,290,121,242,099,614,954,011,728,939,019,
333,063,088,241,127,883,343,749,028,304,129,091,019,927,376,787,939,543,482,
648,445,195,623,874,150,594,024,298,569,630,771,014,716,279,853,866,154,571,
448,160,452,552,830,979,517,440,474,617,353,395,189,301,508,680,235,849,095,
645,389,513,403,732,038,784,107,009,632,876,640,776,424,164,806,691,249,052,
549,095,677,766,862,485,240,937,679,770,726,673,798,418,550,367,067,545,951,
279,807,831,144,210,257,697,231,067,206,882,247,902,361,685,717,977,858,026,
393,898,784,786,486,695,691,461,070,465,860,305,397,894,646,002,879,683,116,
485,608,707,679,542,656,024,583,128,820,616,882,097,690,201,379,513,118,030,
428,750,748,966,061,381,408,105,229,585,292,878,763,996,680,006,136,619,664,
068,133,593,146,204,328,495,067,853,412,686,078,359,388,734,774,276,173,999,
948,465,704,793,031,066,611,730,560,880,640,370,332,353,725,349,048,095,906,
667,668,014,483,519,843,534,083,110,693,583,921,798,647,073,690,872,825,366,
751,260,189,112,937,716,281,188,494,554,107,969,585,504,953,414,424,896,233,
237,986,012,685,101,674,696,949,645,187,825,739,006,747,057,152,401,104,898,
680,807,076,061,196,260,920,617,282,088,684,201,485,062,304,402,494,490,256,
047,838,644,975,748,557,959,450,074,418,739,287,757,926,284,229,209,255,767,
942,984,805,961,759,853,076,962,964,023,593,366,221,176,118,855,001,660,977,
453,213,558,578,941,223,699,743,656,800,769,036,182,016,544,014,592,222,223,
496,444,393,897,501,089,993,666,444,859,559,194,373,669,800,099,233,428,081,
421,172,516,293,626,470,950,244,654,920,992,299,537,327,349,885,455,865,219,
697,260,478,187,877,340,067,970,116,408,148,494,855,933,626,118,103,747,372,
789,753,872,114,184,435,935,870,483,257,045,226,263,554,161,134,034,907,730,
855,823,265,680,032,772,189,467,819,588,295,830,571,621,636,969,878,143,626,
414,021,892,196,725,598,149,580,439,817,297,925,274,985,871,704,316,955,739,
609,647,326,190,690,026,921,495,723,167,339,806,149,587,432,356,511,766,982,
656,217,788,816,975,743,462,670,830,033,787,641,171,731,664,709,920,310,784,
726,670,235,631,756,750,257,042,693,403,509,062,720,413,219,749,149,791,807,
634,091,826,478,094,630,760,263,523,630,057,361,290,589,370,920,871,429,764,
955,287,180,914,687,277,034,340,392,377,560,853,878,074,975,392,394,214,689,
611,852,916,492,571,702,463,181,016,526,403,298,776,551,184,414,192,170,028,
829,605,080,700,867,093,913,731,487,452,440,575,356,513,824,764,177,067,980,
454,578,839,567,367,267,427,564,029,641,404,994,694,421,449,484,697,777,451,
515,333,142,615,673,319,380,203,381,906,398,219,556,479,433,188,473,657,678,
927,516,042,209,293,910,837,475,363,732,562,596,633,354,569,476,517,453,890,
837,144,755,437,230,787,313,395,345,290,496,004,383,718,057,850,606,030,812,
618,410,038,164,099,133,189,077,796,758,422,581,680,564,736,161,701,904,636,
148,540,426,168,018,760,465,437,168,855,042,219,311,018,931,278,148,075,693,
732,318,498,511,771,377,468,838,036,456,087,966,306,119,978,605,730,173,665,
132,968,578,339,079,077,158,377,273,145,133,732,293,337,486,142,397,596,326,
074,005,659,930,895,934,436,331,898,263,385,865,195,203,985,860,623,387,710,
848,818,410,438,377,121,753,833,941,232,341,069,112,610,162,183,382,139,336,
826,619,667,539,326,638,981,868,350,810,692,806,058,850,527,238,443,769,136,
754,862,017,185,981,917,362,156,767,675,908,127,689,533,955,211,574,094,054,
780,976,908,742,966,822,111,836,619,987,081,311,197,286,164,552,479,709,716,
587,129,752,726,996,184,619,715,434,495,235,215,603,871,549,524,801,241,133,
680,756,580,660,678,598,536,120,246,845,305,416,644,655,676,189,956,814,088,
412,603,695,495,122,487,442,032,006,320,571,245,199,250,391,781,585,839,017,
524,876,589,971,716,561,027,061,508,457,953,007,471,234,094,681,074,043,384,
389,201,652,054,308,750,000,920,551,472,184,876,279,656,356,338,277,994,651,
764,270,538,400,790,388,389,463,159,810,261,296,401,083,586,442,339,419,302,
067,182,175,278,158,391,036,574,856,067,301,418,951,432,237,927,406,658,427,
029,486,196,923,549,228,596,769,617,970,130,315,419,066,773,028,600,799,083,
853,405,725,977,307,407,547,637,768,536,257,633,624,568,953,626,348,184,290,
291,221,520,192,530,458,121,199,356,733,542,796,196,802,837,069,364,810,134,
595,305,433,868,224,993,681,698,596,200,741,208,817,531,493,745,590,583,818,
761,689,944,021,973,084,015,410,411,589,652,727,959,509,403,805,067,736,291,
763,526,162,645,096,043,706,231,191,816,718,895,892,899,135,302,928,717,700,
219,357,778,225,364,953,348,894,101,468,169,531,449,102,904,489,626,194,964,
189,226,399,607,204,001,609,274,429,444,420,349,619,016,313,572,962,781,484,
603,058,697,748,938,097,532,750,286,980,171,441,992,310,553,560,639,840,879,
519,948,402,992,354,229,489,192,804,616,934,984,850,082,954,083,804,895,476,
731,860,343,721,927,676,239,635,759,489,196,525,365,016,818,447,840,041,111,
856,025,981,254,983,544,563,027,905,182,448,114,820,755,155,792,542,424,758,
419,009,193,426,703,159,424,860,569,730,865,853,979,498,671,687,076,319,064,
523,321,757,623,296,859,642,694,493,097,593,982,150,959,939,509,500,069,374,
109,636,460,200,427,137,738,979,713,922,506,884,222,021,876,347,018,659,019,
646,148,792,481,036,601,586,887,180,947,003,389,943,553,989,975,040,679,617,
964,518,937,650,972,378,810,264,540,208,576,637,500,175,557,161,590,924,559,
492,402,244,172,462,537,720,618,557,683,311,519,059,401,018,004,821,222,153,
294,887,358,953,343,056,253,694,778,174,870,142,714,056,515,420,568,154,526,
079,812,660,256,509,449,732,359,564,381,591,263,245,329,179,178,961,118,595,
042,549,612,155,417,236,794,153,955,938,049,601,337,595,102,440,982,026,817,
408,418,860,153,880,411,132,273,284,518,755,255,484,712,355,251,364,737,410,
251,876,538,174,186,601,183,097,417,906,983,393,183,352,588,367,951,386,065,
325,659,127,917,067,604,830,404,384,619,206,124,667,266,052,712,376,864,042,
021,743,575,917,739,405,943,357,981,036,539,940,905,423,280,488,311,049,583,
355,758,688,415,289,005,024,068,216,615,205,652,409,057,130,792,817,580,591,
165,230,654,022,647,144,699,940,674,803,356,622,115,277,054,231,767,201,077,
338,310,728,933,319,883,008,141,633,833,490,013,656,247,484,882,804,898,317,
365,597,373,352,652,921,821,894,676,382,638,261,273,342,081,208,193,976,129,
546,499,617,189,467,952,260,041,138,711,196,016,249,584,236,283,543,888,242,
044,402,677,452,346,009,573,315,389,128,827,615,515,361,708,325,845,491,924,
584,983,625,888,325,084,927,579,948,807,627,638,854,298,350,253,353,733,577,
931,015,613,077,636,204,723,785,165,996,514,480,940,473,386,868,029,062,652,
769,322,354,577,481,697,189,139,568,909,676,099,967,495,762,558,385,061,063,
732,599,313,505,394,674,001,053,259,375,485,029,391,116,729,624,405,762,365,
831,902,280,184,451,757,774,825,847,225,261,210,865,913,079,703,054,354,513,
549,957,726,141,403,162,589,277,758,367,765,252,493,595,841,603,473,204,417,
644,507,379,316,974,713,452,820,150,769,165,218,044,129,130,631,487,424,844,
636,050,142,595,517,716,300,145,367,842,229,964,813,268,179,538,945,240,424,
827,085,739,819,542,138,221,507,610,214,928,367,937,399,756,274,175,719,984,
787,921,425,311,172,138,047,449,470,866,292,562,914,559,853,226,802,459,967,
959,867,696,018,779,338,563,479,322,859,648,423,868,359,196,661,555,134,271,
801,880,265,620,047,330,734,280,147,389,110,963,292,048,448,301,600,038,546,
689,641,481,632,505,909,958,167,196,955,825,155,343,738,018,687,197,859,867,
799,388,316,810,188,410,130,238,913,538,714,463,596,310,553,127,505,481,612,
796,094,837,326,509,448,488,030,076,914,687,203,216,612,618,088,373,901,034,
718,271,733,329,669,664,741,479,672,192,698,068,430,920,224,005,632,101,719,
744,109,936,241,590,919,346,820,677,443,155,911,461,386,461,973,809,334,951,
561,610,649,182,293,210,327,395,719,110,970,098,915,933,961,082,059,177,579,
060,286,337,924,045,217,217,558,970,700,368,455,691,058,448,363,302,085,902,
003,246,069,188,733,312,610,002,014,994,036,031,513,601,500,177,067,310,704,
247,531,643,813,053,985,021,929,979,710,242,693,967,306,785,947,503,142,554,
539,365,122,769,761,227,971,318,064,883,303,409,710,051,399,953,272,932,465,
923,844,997,261,524,448,508,784,102,527,371,397,842,060,634,884,750,359,170,
971,556,960,389,460,187,377,321,495,432,005,848,250,869,490,479,487,956,897,
152,925,346,990,109,054,094,366,510,488,803,448,095,110,502,576,590,285,322,
282,119,651,858,837,519,467,813,162,749,241,879,653,987,823,261,012,109,204,
730,211,455,800,726,499,756,017,975,122,472,837,693,499,304,867,844,698,087,
735,682,084,764,819,614,824,650,260,769,771,146,828,959,355,005,793,670,509,
233,204,070,263,619,580,604,824,319,162,649,400,508,397,250,137,796,206,913,
392,121,449,548,940,807,735,835,107,112,706,112,404,642,685,752,837,565,690,
580,634,246,686,300,140,885,222,367,675,567,851,580,327,079,628,048,877,097,
165,390,240,136,827,538,846,723,258,648,247,823,920,306,999,823,220,838,265,
149,869,490,937,275,192,283,796,491,944,878,989,612,126,706,666,545,117,666,
308,728,376,063,148,833,535,267,243,162,598,488,189,489,661,865,892,201,960,
221,661,293,226,321,536,616,815,707,046,713,836,928,811,736,199,248,706,498,
357,516,125,734,398,262,819,109,562,533,543,536,643,433,542,157,020,889,472,
678,343,064,271,832,466,260,893,032,446,146,218,614,753,701,392,228,384,474,
260,171,347,984,466,723,972,211,018,499,929,531,602,835,875,027,953,328,699,
136,477,676,352,860,256,953,493,388,683,912,732,701,459,452,104,128,119,187,
856,560,345,782,104,629,897,189,564,392,695,221,105,708,785,955,481,848,751,
921,564,132,813,455,136,408,412,866,565,260,684,521,519,259,489,972,847,364,
292,027,315,690,181,599,687,680,326,396,589,997,769,813,869,780,239,398,887,
469,798,261,111,137,208,762,140,663,186,902,799,466,038,571,091,824,158,928,
641,992,096,712,153,316,830,977,262,739,649,134,218,885,949,944,060,372,869,
025,098,689,728,223,771,788,562,179,271,924,389,814,822,872,595,178,282,677,
113,586,967,326,037,853,536,590,341,820,906,513,297,987,836,196,255,733,043,
262,564,547,182,995,749,615,820,826,958,972,109,407,423,238,037,052,825,392,
800,571,596,346,767,018,060,182,973,303,324,484,920,510,214,074,476,719,655,
779,434,659,076,421,660,934,272,961,707,791,158,833,134,417,542,130,060,928,
809,123,439,894,046,641,945,644,008,482,521,877,379,001,656,805,793,890,919,
063,169,385,217,060,718,104,651,680,652,088,745,106,991,238,521,075,268,737,
684,414,044,372,513,591,968,961,240,520,635,611,677,022,583,484,282,302,690,
628,997,621,725,132,481,602,230,406,702,691,598,282,931,120,720,887,872,364,
940,510,789,760,476,083,021,243,296,626,071,440,325,837,487,420,056,546,809,
462,955,169,409,076,275,439,535,203,208,674,262,107,416,592,140,565,266,633,
033,210,121,700,887,618,697,293,800,352,249,359,349,471,010,707,206,809,546,
394,942,234,634,328,114,048,310,792,605,687,842,855,694,262,330,224,821,586,
215,120,835,396,026,464,682,672,101,502,717,750,995,260,594,665,685,338,420,
155,100,529,098,623,546,887,514,712,502,315,164,058,077,209,034,629,511,450,
186,002,262,024,562,884,218,319,795,991,826,773,147,777,273,172,370,077,602,
197,776,230,075,101,234,876,590,955,179,408,107,789,496,199,560,370,674,115,
051,302,713,696,876,054,726,773,042,117,380,219,811,660,201,509,738,458,102,
932,763,361,275,973,226,251,447,093,563,077,595,234,337,480,440,027,017,245,
714,221,502,468,634,733,875,395,236,138,457,273,646,600,800,722,561,561,354,
994,255,365,464,746,896,537,206,151,118,792,491,847,049,998,726,738,263,188,
716,094,346,273,584,035,229,265,071,138,063,891,322,428,239,776,831,907,054,
716,109,336,631,731,124,790,164,832,567,300,525,768,188,184,858,053,878,015,
638,297,338,063,214,507,852,437,540,462,680,324,198,472,036,243,556,923,069,
544,449,077,202,779,456,353,897,283,301,917,235,212,031,011,414,798,409,058,
994,970,076,926,324,655,933,884,994,518,827,337,273,439,349,720,085,968,960,
175,796,173,890,548,631,280,819,288,231,408,158,333,931,809,353,454,754,390,
904,915,440,016,365,044,451,252,403,923,794,802,049,049,646,740,618,429,250,
222,184,067,854,097,864,774,195,185,865,416,425,903,031,310,852,811,949,834,
558,204,984,396,578,093,509,321,305,896,400,436,931,347,586,979,326,842,840,
479,121,260,992,925,014,137,152,775,207,997,465,482,403,888,119,534,470,307,
810,886,738,672,465,581,761,022,545,840,221,689,602,543,967,542,521,089,655,
416,977,189,194,454,650,110,577,749,034,622,372,254,880,071,620,727,462,490,
926,161,957,523,435,837,640,257,750,015,621,434,186,173,626,792,535,413,189,
858,060,671,644,885,495,745,945,909,670,707,378,108,301,330,003,545,898,192,
890,862,213,236,609,407,090,189,181,377,697,571,452,450,618,564,122,364,984,
678,200,632,258,317,618,380,717,297,319,403,251,174,825,541,156,295,052,653,
312,488,501,305,838,561,629,452,589,937,700,782,709,446,004,697,630,423,373,
683,830,649,078,404,638,451,284,621,079,240,024,856,256,561,207,523,039,563,
749,152,577,297,829,518,290,012,669,078,716,357,467,153,626,367,410,811,237,
586,655,479,632,818,447,021,158,160,078,271,465,264,927,551,625,728,645,715,
764,712,480,681,040,513,045,929,178,316,996,690,997,950,691,148,196,171,270,
586,941,864,939,668,748,482,600,999,310,084,238,917,817,139,921,866,984,348,
005,178,112,935,988,335,820,634,139,498,720,461,869,707,176,368,307,434,390,
504,245,509,374,278,452,294,345,019,801,372,404,950,675,180,102,226,696,255,
979,597,078,895,741,790,802,897,358,340,804,157,779,573,054,391,444,359,851,
924,736,598,038,188,909,703,604,294,401,022,650,574,711,817,694,681,077,426,
403,045,891,195,607,401,193,306,720,430,857,627,165,777,316,312,391,767,317,
736,168,444,367,002,349,724,367,855,099,914,947,108,543,221,143,899,915,613,
922,517,551,153,430,034,345,455,720,083,378,099,170,866,281,096,648,193,129,
602,707,824,051,965,916,460,794,100,191,019,773,997,159,967,246,548,598,579,
143,786,743,132,079,870,742,154,307,366,003,211,117,201,938,432,059,394,126,
156,664,576,053,390,799,061,308,180,098,490,445,538,441,115,005,336,065,045,
812,825,979,238,678,991,470,767,100,040,757,201,671,204,370,483,534,792,414,
995,421,908,245,621,876,989,835,465,915,180,013,448,629,015,996,131,807,825,
627,830,121,786,695,197,166,210,535,967,337,723,822,461,245,775,563,332,605,
903,747,345,392,899,475,678,441,210,118,192,865,581,075,542,370,967,073,199,
654,547,798,603,958,799,944,372,474,840,864,923,777,610,112,552,577,649,079,
568,689,731,515,207,698,693,144,870,453,601,634,016,500,229,538,707,916,445,
449,490,320,941,734,105,050,311,079,259,743,501,209,709,109,996,357,555,218,
674,162,282,097,713,261,092,831,482,413,475,409,996,670,751,895,198,785,467,
834,200,429,976,886,811,358,920,081,229,160,071,618,922,786,616,463,482,714,
756,082,106,250,191,877,529,343,050,698,787,167,530,736,256,319,399,205,003,
932,568,401,674,414,307,014,003,901,031,918,490,942,286,462,344,841,946,457,
355,796,406,878,926,612,961,127,925,378,247,756,462,026,457,376,481,720,394,
533,625,788,351,374,850,579,157,945,586,058,637,295,256,785,153,336,086,646,
075,200,106,310,732,667,644,239,485,684,618,867,843,034,802,897,290,962,936,
106,007,423,987,652,028,731,279,560,629,128,886,783,947,021,242,415,380,575,
452,458,641,198,400,475,342,117,528,806,821,865,418,642,666,341,584,442,889,
495,854,667,934,715,472,145,330,620,981,729,174,459,705,498,930,097,712,250,
702,943,436,656,028,584,750,798,717,763,356,359,348,529,126,955,166,594,664,
121,276,929,719,668,517,501,110,539,143,854,908,924,929,884,229,072,747,122,
568,926,654,538,989,714,813,975,323,279,157,406,422,858,929,212,693,118,074,
802,327,010,269,277,021,192,210,573,620,339,190,593,779,392,874,364,504,105,
457,763,323,726,963,772,006,135,202,544,818,093,304,218,916,145,694,054,074,
869,561,296,885,669,170,235,166,205,715,771,149,088,759,241,872,281,100,080,
881,939,025,450,838,862,991,293,860,419,692,508,073,301,511,092,235,808,661,
917,718,136,604,963,395,463,018,577,385,669,670,896,064,916,968,411,200,710,
832,946,664,574,773,205,751,973,185,469,106,011,311,328,138,033,240,043,108,
460,801,647,149,222,050,343,573,398,701,701,449,528,512,433,741,784,639,464,
904,168,122,566,724,378,621,996,736,796,213,723,633,642,533,161,790,166,217,
434,700,485,247,698,813,955,808,040,565,914,508,508,921,764,913,081,835,531,
076,739,204,889,135,337,744,604,946,235,924,707,911,028,436,167,547,084,659,
607,454,725,589,866,068,351,920,389,705,469,805,360,990,648,571,953,593,321,
014,693,640,509,952,735,793,120,710,956,369,007,588,789,063,085,406,880,271,
009,808,213,169,869,901,602,018,386,150,588,131,646,107,425,442,943,252,920,
518,706,030,669,371,005,789,250,244,239,169,871,002,636,740,771,270,798,589,
628,084,736,166,094,783,606,235,133,607,650,905,913,348,088,894,550,668,649,
242,368,407,237,466,950,827,442,277,134,180,670,249,910,494,078,309,408,322,
970,860,287,859,336,146,900,558,685,496,517,508,786,187,103,620,880,797,664,
495,413,618,919,655,415,071,581,553,589,658,275,247,706,230,007,327,669,099,
902,341,254,469,438,746,458,612,683,312,961,729,361,890,054,874,053,987,595,
702,217,841,941,233,264,723,483,373,218,414,643,127,690,297,282,367,569,193,
521,632,404,031,867,599,797,952,958,824,852,891,488,089,061,178,884,673,978,
500,150,048,125,484,921,872,538,479,555,266,418,668,601,248,821,098,577,216,
200,874,703,457,941,226,083,858,457,925,858,964,371,014,233,152,013,606,936,
981,104,247,837,436,679,036,611,695,796,525,845,570,920,095,684,290,581,655,
594,490,519,046,255,950,466,007,230,603,348,320,450,278,010,607,885,542,342,
619,614,946,049,421,445,635,663,508,438,219,405,577,034,396,184,699,562,506,
514,995,852,314,233,343,035,488,448,054,370,875,435,378,815,556,475,751,511,
953,828,230,930,038,335,925,088,556,590,022,623,335,975,825,142,997,735,913,
598,899,871,519,863,577,804,599,825,682,893,572,903,374,089,695,348,830,823,
745,133,132,392,042,057,667,474,359,679,920,500,956,795,997,749,123,507,735,
854,953,322,523,958,455,501,599,115,038,488,086,113,702,339,415,805,172,754,
988,073,944,801,437,706,403,141,486,567,580,514,914,936,373,331,624,144,200,
279,189,077,637,614,588,835,872,783,914,295,530,055,873,540,380,769,451,481,
830,143,796,393,920,313,272,511,108,149,232,600,337,662,294,798,078,224,878,
664,038,499,116,411,531,285,729,622,458,776,822,496,804,747,201,173,902,946,
547,389,578,235,156,413,718,791,598,402,860,566,601,445,140,766,300,548,453,
614,832,008,190,941,077,824,338,179,919,545,004,082,555,240,151,712,326,655,
873,131,662,213,597,887,619,951,364,283,097,666,059,995,968,902,482,142,552,
687,856,484,699,083,097,355,161,701,182,307,791,355,695,190,616,630,380,798,
306,325,237,489,277,394,030,365,998,264,286,770,390,850,401,009,720,329,700,
499,271,380,913,462,088,264,472,205,026,232,860,394,385,262,780,900,837,075,
068,876,052,046,758,099,702,453,539,948,848,326,183,443,512,214,887,075,758,
898,223,801,104,537,845,467,858,747,468,568,183,554,412,203,991,686,533,849,
352,977,483,759,533,358,064,072,536,933,085,311,482,600,541,453,616,854,669,
532,247,134,627,177,609,237,266,492,521,442,414,382,775,336,828,351,150,359,
719,875,956,081,803,735,514,093,808,343,903,950,228,780,746,293,158,349,446,
034,918,501,280,027,483,596,649,057,486,460,907,338,170,074,350,401,688,751,
695,712,693,203,355,173,390,041,944,403,033,762,505,361,120,074,716,026,165,
558,002,586,268,337,117,115,542,248,164,140,318,575,558,620,207,782,603,698,
928,716,655,213,307,821,570,388,329,466,016,411,664,691,866,468,839,969,309,
271,924,307,159,269,709,784,334,581,363,089,412,971,884,933,636,394,138,747,
237,236,340,671,025,021,150,463,046,076,049,313,529,810,838,971,082,919,040,
099,120,766,825,218,068,032,646,801,094,584,289,436,047,553,385,749,498,108,
107,619,779,918,943,746,487,064,725,095,994,631,085,723,671,008,782,181,709,
575,716,807,482,356,170,733,394,494,669,445,949,554,469,798,896,751,660,937,
057,553,051,627,297,538,475,349,017,171,805,544,626,482,818,480,416,460,455,
323,515,955,365,075,731,660,164,227,801,984,843,706,584,550,139,348,674,215,
529,100,162,233,909,696,026,292,033,343,039,149,177,294,365,917,307,158,948,
577,440,420,937,177,756,192,359,741,464,764,219,116,949,783,074,153,964,575,
974,708,791,296,611,556,067,791,906,808,602,220,545,952,238,189,415,751,402,
595,004,851,518,824,406,521,471,900,422,827,274,926,253,624,731,693,829,661,
385,193,505,343,541,174,692,365,172,456,887,621,298,993,796,720,870,832,978,
437,670,690,614,643,643,648,533,213,041,555,814,462,646,363,005,459,035,826,
626,195,143,419,633,711,938,528,347,545,477,254,801,735,662,569,040,418,552,
711,452,715,181,596,518,333,309,284,220,935,535,559,782,247,906,457,518,622,
800,105,671,927,889,806,932,528,601,116,451,575,407,151,221,135,276,188,166,
616,999,032,920,970,667,464,175,129,758,689,063,772,583,396,959,734,950,852,
900,321,933,412,236,868,774,832,242,738,909,103,439,990,199,544,251,923,291,
509,073,197,951,068,559,260,110,768,931,963,993,045,278,889,250,390,624,971,
603,981,845,748,432,890,949,539,222,114,393,008,826,928,900,025,317,038,799,
295,101,433,546,989,004,361,158,010,557,282,136,933,294,442,726,714,080,592,
165,222,445,933,385,475,687,402,131,187,218,397,612,401,477,006,133,072,849,
281,719,692,550,346,961,552,357,904,816,045,170,190,146,008,845,810,045,728,
450,000,037,457,961,255,953,750,994,649,323,969,583,960,396,607,619,326,912,
520,264,854,322,683,186,380,273,798,538,823,396,338,139,842,127,302,525,801,
314,458,224,475,037,251,860,734,680,771,519,742,450,045,078,794,506,321,432,
910,457,897,781,756,460,330,972,682,618,472,359,140,065,311,883,689,785,759,
797,944,921,677,664,187,594,579,727,526,130,136,962,601,989,600,284,538,718,
474,482,577,242,469,900,439,935,078,618,127,336,400,225,958,675,526,029,852,
426,178,462,731,159,494,010,115,769,832,543,773,233,583,419,653,279,032,205,
974,306,531,740,285,920,125,444,805,342,469,844,401,559,241,841,916,947,467,
585,999,457,548,788,287,409,028,315,334,110,720,599,413,770,023,020,673,459,
447,994,435,251,750,756,983,049,382,135,282,208,665,252,397,874,454,212,572,
148,478,811,059,587,607,889,315,656,661,784,407,389,798,103,508,872,496,343,
543,069,852,311,991,981,379,237,788,837,406,232,915,911,838,102,677,725,174,
241,899,150,963,994,336,514,570,195,149,311,642,982,078,558,047,523,566,384,
569,763,595,063,791,338,362,462,142,646,882,417,928,471,769,294,820,809,719,
610,878,650,342,316,117,652,960,700,299,530,101,710,006,718,394,534,627,567,
357,176,410,076,463,888,085,826,124,881,862,865,367,667,229,023,356,015,414,
561,133,627,179,819,999,835,511,297,120,715,067,678,319,266,354,385,715,009,
751,581,935,468,056,137,441,800,452,917,802,313,267,866,549,946,053,774,913,
623,582,638,742,342,716,168,083,831,122,047,315,091,892,934,029,420,890,370,
147,379,806,885,448,201,926,810,331,917,723,615,812,177,981,822,751,867,299,
183,157,521,437,028,034,562,258,847,638,927,644,707,788,856,007,148,253,048,
484,201,169,399,232,940,994,574,556,862,278,534,898,433,070,837,856,227,051,
439,197,388,656,528,493,457,275,384,993,003,064,547,373,446,793,312,443,060,
483,462,697,092,755,142,613,599,829,947,346,392,540,015,136,435,821,240,958,
024,264,306,961,831,662,737,523,204,378,076,166,249,400,567,301,271,459,829,
732,742,994,911,587,193,856,792,187,913,142,404,844,251,003,534,237,101,528,
568,385,760,877,538,564,386,639,899,138,540,619,630,908,903,716,520,130,122,
823,317,436,457,583,397,564,124,209,604,441,618,456,446,305,599,841,016,300,
469,993,524,485,912,187,942,428,576,900,121,533,053,623,636,293,483,123,768,
939,812,354,890,209,760,770,711,905,533,047,855,706,836,986,134,112,348,260,
710,690,994,042,795,344,858,785,469,345,675,895,522,286,194,103,331,932,686,
085,504,752,323,798,171,372,617,343,673,843,635,386,156,405,701,801,893,208,
029,359,408,407,013,787,222,160,401,824,058,513,855,694,115,837,833,665,423,
339,913,387,619,255,122,353,196,090,654,338,909,033,647,983,828,351,581,872,
176,198,327,868,810,739,495,840,281,136,597,645,726,142,675,356,105,732,367,
119,351,334,381,089,316,312,704,201,049,371,422,847,576,811,745,684,054,570,
557,363,023,826,396,784,684,028,004,038,647,037,183,701,321,855,678,832,489,
535,030,460,355,526,245,064,382,087,865,271,226,046,911,428,887,544,222,332,
728,642,976,246,469,907,576,566,240,991,262,274,286,469,835,801,674,607,825,
458,974,888,019,109,279,264,216,442,238,264,527,978,534,632,801,868,049,024,
378,977,982,032,226,324,608,196,430,498,656,133,749,340,258,440,290,847,964,
175,409,380,423,826,092,230,197,664,056,164,590,530,584,528,486,459,286,921,
319,157,196,674,146,225,415,065,910,318,286,093,110,685,422,098,956,155,874,
059,589,980,695,208,761,819,038,996,269,104,768,016,719,902,718,365,655,864,
789,690,392,277,083,897,499,420,911,031,305,787,191,981,544,373,522,181,476,
667,615,766,605,570,191,687,526,078,995,261,297,886,101,761,346,954,061,487,
992,325,764,805,040,596,524,809,824,445,763,600,754,947,298,968,498,970,295,
296,876,638,077,689,264,459,610,485,630,920,525,900,056,635,688,535,000,897,
886,539,943,704,211,067,390,545,180,751,838,015,535,715,573,047,995,406,909,
974,899,461,296,783,409,597,370,194,956,407,761,595,763,159,189,912,301,037,
901,193,977,070,909,337,433,832,875,994,753,024,934,140,243,431,017,919,113,
534,175,032,752,554,182,019,556,805,591,940,467,311,334,938,842,685,717,150,
486,804,315,551,428,986,940,843,134,042,538,149,529,210,075,188,749,647,259,
926,939,538,701,338,121,660,439,281,812,582,366,984,716,182,139,559,477,678,
478,287,540,621,319,090,661,928,365,811,874,468,752,671,699,138,183,355,992,
182,153,622,401,037,452,827,274,809,824,498,350,057,153,580,420,489,047,313,
443,078,415,387,747,864,592,111,793,843,519,444,306,327,372,611,717,582,300,
782,634,448,650,779,729,814,086,401,430,167,277,828,540,008,520,749,515,093,
013,172,094,835,419,279,482,848,923,084,388,353,062,157,191,314,133,456,352,
315,024,060,433,478,103,677,614,957,796,439,232,082,996,218,342,194,228,999,
108,879,753,350,502,431,929,145,653,813,710,282,378,312,662,066,947,730,818,
101,185,553,049,657,129,687,279,141,668,118,573,785,097,946,038,349,269,164,
684,850,844,517,350,195,980,197,959,169,434,601,162,802,127,646,753,114,419,
972,119,168,907,935,279,505,154,990,930,713,661,341,910,683,687,188,335,420,
968,723,994,734,611,011,337,890,534,597,045,539,721,289,693,905,338,880,221,
350,750,455,346,654,646,630,995,493,897,109,065,387,291,547,830,824,561,046,
107,150,477,002,877,202,565,005,280,197,558,008,485,564,602,533,619,176,495,
568,341,410,379,739,454,096,255,360,302,433,722,994,217,503,276,953,084,538,
501,084,219,009,130,904,775,185,374,207,516,002,290,967,122,500,237,267,190,
656,700,648,598,080,925,270,576,677,323,286,276,610,488,941,164,003,119,539,
722,295,843,414,669,169,061,341,817,323,395,858,135,341,628,776,962,955,164,
215,726,219,486,065,102,947,039,401,943,471,803,463,550,707,404,867,866,702,
158,854,484,259,285,299,234,333,688,370,398,491,500,006,042,627,525,426,292,
352,629,719,139,259,129,792,454,358,345,681,237,508,658,151,316,377,051,019,
719,550,968,989,535,447,974,397,354,103,279,309,432,396,698,300,490,260,110,
563,873,643,556,842,040,991,156,922,995,468,881,626,257,417,612,629,633,943,
728,343,153,395,540,559,067,295,572,969,014,964,869,205,151,582,724,265,898,
167,080,528,627,409,178,913,398,959,344,449,545,826,078,503,946,360,561,319,
192,242,195,107,206,814,258,060,199,542,077,797,323,554,510,202,235,073,013,
804,305,917,359,458,377,849,742,413,314,916,633,010,322,661,676,491,120,200,
420,618,303,621,887,953,005,662,760,979,858,251,829,681,967,307,522,611,537,
593,237,037,152,084,217,961,467,393,135,705,942,521,337,173,344,437,001,398,
972,565,268,836,235,313,075,113,613,060,743,101,567,633,626,729,535,236,004,
326,118,512,114,362,775,309,285,199,214,228,466,381,909,785,866,159,062,683,
383,789,620,590,327,943,810,676,652,578,330,132,878,438,992,925,821,264,637,
771,783,398,031,965,769,591,081,185,759,766,851,276,516,161,535,277,638,017,
621,582,314,362,736,200,061,047,305,681,173,462,149,166,093,860,221,061,202,
516,242,657,710,622,375,129,374,042,132,925,333,436,561,858,399,350,147,804,
854,970,874,431,420,127,593,952,694,804,791,547,791,090,578,338,028,971,045,
701,782,610,512,049,500,364,200,593,089,368,865,745,893,291,060,808,896,782,
064,146,748,334,509,612,758,015,310,234,988,401,980,218,306,978,494,662,070,
744,117,116,779,481,800,284,957,846,512,073,804,748,878,474,200,087,410,572,
484,897,308,205,093,092,744,320,285,787,849,787,039,510,607,973,428,319,980,
339,214,464,689,288,891,598,494,718,291,354,965,025,726,688,661,949,965,276,
982,885,079,285,992,881,789,587,567,682,933,343,313,327,328,256,865,285,693,
847,354,569,855,673,127,164,256,033,571,592,319,213,075,023,704,694,405,794,
998,161,851,928,749,613,438,765,748,655,832,399,152,224,305,160,721,774,191,
525,454,578,934,394,810,145,831,392,932,373,267,484,163,098,709,432,134,299,
259,150,381,101,973,933,842,976,142,882,618,765,136,689,986,602,834,758,949,
699,473,370,524,133,264,592,511,230,825,888,352,267,335,366,302,158,837,438,
277,050,496,653,470,078,130,773,517,225,774,857,212,395,048,424,408,035,865,
439,477,880,462,908,598,119,217,480,924,013,620,074,336,591,576,994,246,662,
575,937,910,728,662,906,787,022,764,625,999,956,207,790,599,823,200,801,665,
237,461,807,766,459,275,685,584,217,115,184,270,352,204,408,286,546,693,341,
547,939,111,915,704,590,736,881,206,431,507,173,790,848,771,506,265,784,165,
755,213,285,765,351,855,176,046,721,702,622,094,700,678,771,585,826,049,615,
720,635,044,789,446,308,029,812,801,864,655,622,321,954,075,748,641,473,673,
150,205,668,170,826,887,747,734,840,741,320,469,443,236,928,633,176,552,201,
467,923,364,508,331,867,005,485,512,721,552,103,830,368,474,833,960,322,849,
253,772,757,275,197,782,816,664,318,620,097,846,728,847,784,168,094,661,428,
025,485,521,740,743,051,151,412,922,613,702,974,033,212,474,506,252,395,949,
581,724,477,872,476,180,818,021,958,509,642,538,494,250,133,357,521,873,241,
569,700,261,467,100,579,456,623,506,265,021,154,326,033,438,769,640,210,555,
562,256,815,459,637,406,608,512,812,966,382,278,882,770,512,981,655,905,631,
274,822,743,827,606,558,515,043,064,404,000,992,846,271,910,876,808,572,312,
914,702,455,613,458,803,818,268,467,582,515,965,380,820,231,710,901,217,736,
301,648,037,436,269,099,746,636,265,797,327,659,267,516,963,246,930,009,114,
616,532,174,752,377,464,932,986,340,894,074,054,232,887,716,073,440,865,897,
819,201,620,614,824,869,696,957,511,117,996,068,848,462,262,116,036,642,352,
240,214,412,608,991,546,365,680,900,012,087,151,423,206,365,057,640,853,468,
264,540,204,115,901,942,184,033,581,828,181,285,010,348,718,277,171,234,603,
932,865,982,221,535,031,146,616,904,842,585,285,152,465,371,772,339,811,197,
038,070,486,974,530,527,216,513,507,147,792,640,362,336,598,715,264,992,544,
232,880,875,883,201,069,876,823,471,349,023,132,608,840,890,191,902,048,392,
907,138,468,393,835,063,411,424,445,489,176,672,492,076,419,230,256,071,330,
246,825,889,920,004,835,111,466,745,153,967,114,428,249,287,781,906,911,559,
003,104,368,324,329,526,723,773,687,797,083,311,688,471,798,029,514,323,141,
256,630,530,923,074,530,605,149,227,630,216,554,332,409,704,899,530,841,186,
442,469,699,006,879,513,896,697,600,055,620,490,789,292,400,279,851,656,891,
475,325,978,243,211,823,648,255,470,699,056,394,632,785,158,944,234,834,154,
577,486,995,596,716,592,913,434,117,378,047,021,203,428,930,836,537,436,324,
624,390,307,626,591,913,704,660,450,243,085,274,799,915,001,681,993,252,329,
239,160,826,131,198,248,858,963,857,711,972,726,901,206,754,739,646,707,531,
269,774,207,618,143,537,289,718,955,325,324,983,879,507,322,250,033,767,689,
046,592,087,072,892,823,800,680,808,578,172,332,381,648,671,096,484,694,629,
991,980,677,480,934,250,970,317,059,120,423,993,053,996,393,087,404,618,425,
370,544,380,797,076,398,269,429,192,182,879,469,715,427,816,449,155,156,797,
851,302,377,823,553,626,292,581,332,281,393,115,567,990,659,980,623,233,647,
732,560,449,087,604,505,739,694,938,728,183,950,634,690,151,213,185,447,745,
755,652,754,809,904,222,149,536,524,812,345,028,778,171,954,443,396,551,029,
266,831,755,682,439,714,479,842,703,408,708,619,999,284,392,708,501,046,283,
476,250,456,272,821,845,392,714,373,212,456,822,543,474,970,452,056,936,086,
876,938,559,569,790,609,928,966,459,432,364,898,649,252,231,832,923,632,272,
145,375,465,720,400,819,750,797,464,614,831,204,472,089,286,632,400,335,464,
326,058,193,357,785,787,512,133,335,503,006,634,415,199,377,962,364,936,882,
936,327,254,440,289,232,358,763,930,276,164,870,038,586,098,852,692,442,258,
737,329,108,862,928,345,545,655,009,580,291,827,831,466,797,952,264,152,213,
824,504,303,786,007,722,306,642,785,663,047,986,235,049,750,244,849,240,576,
142,385,632,200,141,795,363,281,968,933,831,649,388,829,266,027,170,739,113,
281,394,108,870,684,684,330,887,788,394,715,861,895,878,164,217,399,894,646,
123,288,696,837,762,540,588,497,747,488,094,446,412,065,783,830,272,297,201,
182,304,541,538,168,635,851,557,809,581,420,485,352,560,138,533,195,237,251,
660,450,575,439,880,938,652,283,779,498,421,189,292,291,825,584,969,234,388,
180,797,217,366,575,018,797,500,693,913,809,581,563,813,746,727,364,065,156,
793,233,895,074,614,613,159,890,436,411,723,719,488,850,461,399,419,948,789,
690,912,950,018,522,304,897,802,213,796,671,290,759,452,028,887,659,872,659,
620,293,145,626,348,178,921,297,471,279,917,029,375,311,163,306,770,870,577,
918,414,774,107,336,694,041,960,266,180,247,788,266,218,150,829,259,465,829,
209,454,693,130,802,992,946,286,665,828,550,908,312,634,954,570,179,756,538,
446,544,378,294,402,308,887,779,312,640,120,754,213,178,061,637,332,637,434,
215,946,038,559,860,906,392,255,686,337,841,995,950,361,016,949,834,626,680,
599,996,244,668,820,519,103,894,069,796,732,030,335,542,261,600,237,463,771,
604,062,844,329,753,689,998,847,059,935,910,702,722,720,077,769,313,782,177,
612,125,954,773,317,936,988,634,294,617,773,413,999,989,919,643,514,413,559,
435,843,293,758,553,899,049,391,403,683,268,553,904,273,563,842,430,474,455,
108,265,425,437,228,875,999,839,792,722,801,599,133,783,065,184,015,791,203,
290,073,642,322,397,872,745,215,944,094,229,167,238,741,243,667,634,734,532,
317,332,797,429,345,034,166,433,953,343,866,746,768,240,175,586,721,221,633,
270,295,044,299,666,922,958,350,599,505,714,133,507,824,737,964,274,381,523,
541,933,596,649,295,799,884,935,427,556,634,372,464,159,750,413,086,933,608,
722,938,565,326,336,519,641,092,497,465,390,860,700,989,551,673,302,809,920,
746,403,594,175,498,030,965,030,286,478,556,101,129,814,279,991,861,853,169,
456,555,966,290,678,578,634,331,824,830,230,602,115,911,599,352,613,816,609,
923,211,074,042,625,668,596,244,121,294,654,928,716,839,561,701,654,247,462,
083,677,299,971,242,377,038,080,401,181,925,654,742,203,187,994,209,169,728,
863,512,383,189,444,919,402,576,851,487,766,715,616,368,191,596,123,232,345,
299,651,756,166,855,412,905,210,770,485,211,361,185,707,383,956,031,699,755,
242,296,367,892,565,293,973,209,151,095,063,625,353,756,833,983,150,869,387,
971,569,592,401,319,685,645,710,986,031,370,918,610,206,566,272,347,697,059,
073,663,948,741,425,141,506,316,754,705,191,644,297,550,578,660,769,286,421,
826,456,096,942,420,524,106,085,676,497,877,577,786,491,988,217,911,327,281,
602,592,285,957,329,446,034,585,559,589,604,737,778,474,382,982,999,837,431,
711,870,147,151,601,728,547,711,448,791,785,217,755,856,233,194,947,246,695,
677,372,808,311,833,344,772,517,184,585,471,333,559,983,083,820,235,952,158,
995,890,932,885,877,800,945,483,142,877,635,136,188,950,332,564,993,545,850,
251,692,326,101,740,224,889,272,553,464,477,701,724,648,152,784,520,614,112,
979,868,123,185,966,826,241,437,274,116,173,367,827,902,272,899,751,956,127,
097,723,389,790,731,404,420,500,824,547,711,352,006,658,530,265,901,909,603,
878,542,840,644,672,698,306,937,523,884,753,177,322,195,132,387,952,205,019,
269,230,803,048,388,457,914,319,740,871,155,946,424,606,693,194,808,503,350,
590,060,829,523,095,874,658,548,055,282,503,395,824,819,525,712,820,692,021,
964,183,559,099,475,684,125,545,129,503,666,358,666,662,075,235,351,277,609,
492,102,512,129,868,171,553,898,602,409,398,705,843,525,476,896,283,921,903,
516,813,672,179,475,563,139,914,310,688,456,336,481,393,145,773,949,561,738,
326,862,630,656,763,449,019,286,779,578,694,401,411,556,427,637,428,398,666,
227,152,754,758,134,477,461,210,317,327,841,435,881,894,315,379,098,534,453,
324,768,398,954,941,838,519,785,522,020,506,685,240,512,359,683,528,224,614,
549,675,799,355,937,757,405,585,251,318,213,242,947,235,318,102,142,380,313,
513,418,450,997,332,309,973,524,945,702,794,118,283,902,193,418,117,054,163,
332,140,806,967,811,280,200,937,733,815,688,372,724,034,236,432,095,498,474,
126,790,417,247,877,762,351,233,560,332,193,459,427,513,145,886,611,691,229,
316,300,901,765,307,045,623,069,406,073,924,290,913,364,190,960,175,584,288,
089,679,289,164,760,300,971,241,020,397,485,771,845,335,696,791,272,265,728,
964,468,385,570,539,083,397,191,888,903,903,490,368,439,750,975,108,835,594,
031,045,803,868,983,629,242,176,112,763,703,914,702,724,017,397,447,702,481,
438,591,019,686,515,481,307,589,119,812,107,417,959,691,697,092,471,377,871,
915,513,365,434,959,139,954,096,424,644,310,190,718,358,915,978,807,762,831,
489,758,546,141,592,763,893,554,685,782,143,188,505,382,438,397,654,180,453,
449,056,012,877,433,904,992,941,698,512,075,778,790,370,836,795,525,357,097,
569,071,462,325,437,657,117,008,251,934,209,864,324,442,241,281,211,839,157,
122,725,214,616,879,368,585,354,574,502,189,714,942,753,838,149,830,827,794,
765,481,647,935,100,739,581,092,951,902,965,753,162,273,816,135,560,080,310,
379,289,838,226,727,149,222,798,216,660,134,607,361,843,698,138,826,927,983,
025,762,551,853,485,027,720,694,767,539,669,358,059,249,875,175,518,305,618,
643,567,092,547,165,525,838,822,152,397,393,411,382,748,604,152,460,373,548,
831,705,825,252,144,325,806,289,363,081,651,706,880,804,633,991,075,454,261,
599,438,423,436,668,114,408,681,902,315,552,046,245,892,489,365,559,873,223,
556,396,755,331,662,798,968,008,832,623,263,944,122,860,887,024,828,570,919,
361,697,646,327,010,872,163,060,886,614,369,335,927,266,502,173,490,966,419,
636,762,478,304,528,795,584,007,181,589,676,069,349,056,230,484,555,566,649,
485,009,597,894,537,016,411,703,351,917,876,929,182,702,372,683,384,344,723,
054,656,730,369,413,378,306,272,462,259,851,242,173,857,479,025,202,777,419,
176,256,734,493,223,825,397,735,730,320,587,126,987,251,579,539,803,074,710,
708,016,667,502,643,332,927,737,007,865,912,423,250,477,128,446,948,211,532,
568,485,446,820,745,170,285,520,951,322,100,773,797,280,280,651,942,878,735,
214,659,761,634,477,626,800,813,206,837,707,876,353,389,845,569,341,408,931,
454,984,122,823,353,396,368,079,537,133,015,492,776,469,316,677,983,385,215,
420,487,876,728,168,670,615,396,906,358,410,432,376,374,719,532,526,004,393,
370,284,229,779,717,614,241,217,191,406,928,641,531,072,308,343,399,966,681,
472,687,107,313,533,410,434,583,725,448,103,008,587,057,217,926,381,695,373,
559,926,924,124,671,920,937,424,954,736,260,739,214,342,595,942,887,426,583,
481,710,874,481,559,723,656,781,836,034,797,579,527,530,388,559,814,096,168,
303,427,571,484,231,808,313,981,179,072,488,101,341,301,102,082,525,037,291,
770,866,065,968,269,571,546,038,374,874,597,173,670,888,679,477,581,542,488,
338,658,803,881,672,457,080,657,014,025,645,150,120,472,404,151,702,494,871,
328,051,710,307,806,506,225,238,631,607,343,345,630,161,573,020,152,044,135,
642,974,581,535,114,209,453,865,983,920,714,799,538,357,738,729,970,640,157,
762,465,251,922,123,704,940,449,807,160,057,042,804,045,217,013,600,868,784,
098,690,136,102,866,539,067,535,431,526,554,327,882,793,311,478,777,329,740,
417,964,176,196,749,190,023,348,425,240,490,352,104,000,047,494,544,476,117,
146,831,942,916,177,638,530,011,833,704,594,301,221,184,051,242,850,248,855,
780,550,054,041,147,950,596,700,189,331,787,159,746,967,354,568,647,560,616,
322,856,955,067,962,329,411,054,882,032,518,722,070,334,429,834,515,541,622,
795,393,629,458,010,671,995,453,067,375,845,283,499,526,071,776,304,361,525,
099,325,388,122,495,660,684,362,848,982,553,897,398,616,116,857,606,681,684,
952,762,672,974,562,391,083,800,400,420,722,356,871,156,995,401,513,822,009,
850,337,507,636,882,879,391,926,271,358,625,496,508,027,766,204,481,467,708,
482,438,331,238,630,416,397,976,679,016,336,123,500,524,564,517,478,997,046,
232,474,048,052,596,537,387,570,058,288,385,759,152,603,033,647,952,481,753,
309,121,244,317,048,039,532,641,892,519,950,726,219,052,385,668,138,872,738,
808,986,385,432,675,007,885,472,103,511,556,590,993,991,627,075,027,025,595,
431,778,992,388,603,947,033,619,088,500,189,428,793,560,262,893,484,573,373,
489,052,195,587,077,115,867,450,039,322,179,457,044,650,592,542,475,427,430,
789,155,112,880,967,157,404,075,482,389,087,106,652,985,977,396,028,417,166,
610,445,740,008,542,388,468,978,577,099,105,641,592,023,153,158,194,688,130,
357,062,924,485,646,328,406,580,951,225,162,648,037,345,235,787,857,644,049,
591,120,737,444,627,114,344,063,238,371,625,088,933,455,991,100,639,984,759,
047,323,185,038,350,898,510,093,523,581,410,518,645,731,970,000,865,597,505,
217,832,805,537,617,401,294,115,157,308,675,895,328,925,970,906,583,174,069,
393,393,370,339,427,400,041,401,070,966,974,514,135,060,911,635,151,086,693,
065,002,698,135,747,725,016,503,417,989,387,723,409,402,554,933,196,136,065,
377,872,743,821,252,866,089,249,331,560,375,766,284,909,934,206,948,987,234,
981,283,966,540,783,966,083,575,837,089,669,452,501,846,036,873,957,386,142,
485,463,428,659,261,461,940,606,163,550,620,102,473,416,267,851,649,132,724,
532,749,242,682,612,857,551,853,540,548,393,448,711,499,138,246,640,200,171,
535,131,927,607,768,506,783,573,532,787,885,074,841,797,448,518,032,614,154,
008,483,794,164,682,582,171,912,207,881,058,462,416,796,772,834,077,892,314,
165,020,165,642,171,280,629,199,453,351,888,116,588,885,947,116,081,664,807,
021,001,841,605,685,554,527,764,214,034,921,334,388,997,985,949,617,255,422,
182,852,403,324,351,529,169,959,981,516,163,516,223,107,946,416,378,883,505,
025,595,889,943,898,655,161,431,803,196,503,068,381,547,827,017,050,258,122,
526,250,176,352,921,080,483,695,045,060,553,524,618,923,416,232,692,643,711,
248,740,241,431,852,102,968,124,638,285,752,959,094,801,672,817,101,623,744,
053,946,383,979,474,979,179,034,161,539,142,686,704,116,298,940,463,102,445,
986,418,420,658,472,003,894,804,227,135,064,943,934,069,176,894,137,762,086,
577,800,848,166,543,549,112,246,958,623,495,904,641,777,894,381,571,262,836,
498,276,460,776,032,869,272,140,620,795,450,884,978,418,352,818,248,941,619,
191,222,674,855,601,774,595,536,122,713,466,745,381,437,361,148,209,256,819,
667,390,206,361,095,042,244,345,487,676,757,236,786,934,269,944,115,444,137,
310,892,567,594,905,352,178,183,345,296,330,308,628,142,808,270,364,560,413,
412,554,355,414,848,655,661,371,591,571,390,080,933,250,655,791,902,655,974,
965,001,330,477,160,970,531,880,406,170,198,402,271,217,616,900,995,204,356,
764,337,125,986,743,385,127,933,800,772,937,897,820,819,131,673,859,559,198,
862,142,795,879,446,869,035,757,449,676,960,056,309,898,205,863,750,806,554,
179,280,505,918,784,001,729,364,787,061,486,297,850,540,361,489,031,482,436,
658,164,259,664,235,321,985,436,352,485,152,917,006,312,957,135,226,848,652,
914,036,220,848,501,697,128,890,637,824,866,084,698,623,821,671,661,475,582,
055,631,759,150,977,242,312,871,385,324,918,341,726,894,128,675,018,071,963,
474,725,620,343,769,448,826,132,376,466,209,826,155,880,515,711,448,272,408,
405,625,002,430,385,748,618,557,687,336,598,456,280,124,513,831,117,003,835,
442,470,250,490,311,159,303,998,484,651,315,710,585,217,703,122,295,651,623,
698,914,644,474,744,827,447,724,352,944,884,090,202,396,562,047,494,968,805,
794,418,391,582,854,263,978,221,200,372,585,170,316,492,862,745,410,531,629,
724,080,953,913,991,935,277,577,944,406,336,294,699,171,786,370,038,963,085,
553,244,965,156,625,134,428,127,038,929,824,965,462,787,637,380,122,568,009,
512,361,424,068,876,928,253,284,867,365,085,668,286,295,053,683,223,488,711,
912,563,268,059,937,206,344,434,430,055,823,670,789,610,998,337,626,374,301,
069,419,301,865,204,750,911,216,686,374,937,086,959,372,118,366,880,823,946,
271,280,877,183,127,821,982,562,386,575,778,354,952,780,373,746,595,996,868,
501,723,580,505,337,453,029,268,693,946,538,752,358,968,436,595,422,716,467,
547,947,715,766,463,732,198,851,517,503,660,648,698,223,234,327,284,124,143,
259,330,650,155,125,033,421,268,670,141,344,558,269,452,051,414,612,369,486,
893,061,945,601,027,243,319,758,221,627,895,182,404,549,452,439,124,544,731,
106,620,728,097,138,684,905,578,114,299,015,853,879,900,503,276,424,482,275,
888,399,638,188,370,275,503,252,095,247,749,648,788,672,319,037,477,727,374,
228,784,017,829,538,820,661,793,287,017,146,742,596,890,401,146,242,968,931,
696,018,183,184,050,777,128,979,353,266,614,568,457,183,378,723,219,220,257,
073,001,467,157,668,659,098,143,424,152,307,232,785,452,301,201,180,858,932,
959,617,851,659,905,796,769,249,358,080,405,299,355,455,550,525,866,937,741,
654,257,070,430,671,407,592,040,700,503,568,379,617,406,090,860,211,728,836,
668,936,565,369,520,135,011,206,092,127,503,934,648,731,954,976,551,497,437,
852,116,017,539,374,516,541,723,404,194,496,959,947,998,199,161,162,189,268,
229,871,727,891,632,703,972,647,425,419,978,428,913,187,178,758,739,969,962,
050,512,369,152,212,108,156,416,416,482,000,449,866,377,024,828,714,123,010,
833,697,269,073,965,069,324,667,268,448,053,885,785,179,501,556,344,359,673,
790,805,987,913,441,234,777,093,853,245,004,092,207,212,322,522,676,485,989,
964,890,554,934,977,113,650,689,257,486,279,066,563,047,472,527,960,418,074,
839,808,012,987,591,165,851,908,680,223,978,793,922,420,019,957,117,867,302,
903,088,792,368,564,502,348,015,877,902,783,647,978,375,483,383,194,871,029,
784,935,666,671,119,625,186,567,917,332,169,098,582,890,931,425,815,655,103,
469,492,264,497,016,480,995,731,399,310,029,910,287,456,596,124,904,768,242,
197,848,476,425,718,917,736,117,300,167,414,890,964,698,781,867,717,969,670,
963,267,138,111,592,418,621,571,209,052,893,722,671,653,473,330,453,258,443,
172,865,764,776,049,207,903,406,370,680,974,073,888,751,563,294,430,579,724,
312,710,851,052,810,898,422,033,531,043,664,299,065,468,312,440,033,457,166,
286,150,546,414,303,464,093,942,588,625,325,568,347,767,513,636,151,894,432,
306,042,278,669,365,705,249,984,625,191,919,940,608,302,278,205,664,165,695,
678,901,627,633,276,495,642,646,942,986,845,113,581,039,529,631,213,226,846,
258,066,041,424,230,502,948,211,627,647,088,248,578,986,566,191,588,366,220,
000,016,641,296,917,496,965,431,779,990,323,974,129,659,837,299,417,202,983,
939,234,788,771,996,310,772,931,329,585,665,802,931,644,766,805,189,812,644,
501,398,115,469,792,668,947,592,950,312,918,817,429,745,416,185,466,823,302,
359,325,575,917,682,735,718,312,434,231,364,951,045,027,459,361,660,676,456,
043,428,830,281,835,743,417,074,314,255,717,790,493,110,365,919,498,322,507,
479,088,178,169,329,662,416,182,242,303,819,102,734,749,864,067,533,066,031,
546,945,670,124,396,226,760,502,507,494,862,945,686,407,536,365,016,387,127,
677,432,394,126,612,358,079,304,210,644,520,391,699,579,026,401,370,671,335,
717,423,833,314,932,123,464,537,944,958,302,161,853,857,354,366,584,116,198,
124,365,678,338,553,173,824,316,086,942,944,834,205,976,645,575,392,015,106,
656,119,808,594,423,033,734,633,584,909,067,437,749,993,287,035,525,388,496,
016,011,331,778,470,958,505,911,370,152,191,726,670,119,613,881,779,973,757,
893,516,110,439,325,238,700,481,671,485,648,429,450,686,075,325,339,123,286,
795,627,701,704,187,341,989,019,759,889,208,196,443,053,228,457,029,166,617,
031,938,722,803,798,657,469,899,471,803,369,602,787,707,444,195,371,221,909,
084,901,492,229,095,080,458,422,820,752,013,547,503,091,642,456,175,366,378,
647,658,688,888,049,812,920,101,439,794,291,580,184,237,948,246,299,919,815,
888,341,292,571,010,650,645,671,771,693,600,028,046,772,790,918,579,540,375,
753,732,897,927,636,493,215,317,153,092,880,959,326,846,130,292,072,494,656,
798,472,911,876,960,480,484,399,046,553,650,863,870,095,017,174,501,441,718,
449,445,582,610,796,682,143,731,393,402,480,995,916,069,706,442,625,211,447,
450,378,298,554,804,092,704,647,151,403,416,243,233,015,391,564,822,159,318,
867,427,071,321,946,882,741,983,619,595,357,584,553,455,316,404,299,014,617,
551,588,872,535,050,926,877,162,434,071,931,724,715,968,895,832,125,483,169,
957,714,615,429,380,027,269,646,955,524,496,622,669,165,076,435,756,312,154,
706,521,511,109,151,041,716,512,628,872,726,262,113,006,426,461,232,920,832,
453,244,049,155,747,265,208,728,715,318,401,299,235,459,852,726,878,022,372,
180,250,625,266,501,065,868,095,529,389,616,700,197,321,666,037,705,732,919,
611,517,393,252,007,233,689,346,175,109,393,045,030,695,270,739,491,310,788,
188,033,371,366,496,506,015,217,728,220,181,060,225,693,157,575,761,506,023,
340,900,435,290,421,786,065,544,074,572,643,641,574,187,987,069,149,947,667,
010,421,982,362,604,070,435,623,680,729,067,617,086,440,164,232,165,750,316,
852,702,562,873,349,199,682,843,838,078,021,609,069,541,277,267,762,264,258,
658,593,220,379,456,216,130,394,361,956,374,704,255,548,211,168,896,293,240,
511,487,458,894,619,188,240,602,125,514,232,719,946,982,297,993,335,331,599,
397,485,607,178,499,510,122,552,827,782,223,768,338,991,425,513,731,190,862,
936,506,709,609,320,578,769,798,459,082,608,985,740,238,855,818,817,863,312,
394,571,266,165,983,955,057,831,313,512,471,961,193,014,254,011,577,332,388,
688,084,570,213,243,606,518,137,814,218,549,403,543,061,445,785,796,250,157,
463,867,501,143,565,480,255,840,612,033,943,533,556,766,191,038,786,773,997,
019,793,371,621,764,330,436,722,890,763,208,167,652,769,907,902,200,142,472,
519,494,994,623,349,133,143,452,752,870,242,524,742,170,517,451,272,721,031,
680,206,403,840,639,749,292,489,569,202,874,205,064,145,289,664,350,133,901,
402,400,416,747,438,180,448,354,188,189,738,431,795,748,163,351,608,573,945,
244,344,465,137,390,140,517,522,542,407,335,253,444,633,549,249,397,166,145,
202,518,481,905,442,693,377,659,521,124,691,892,988,117,269,344,548,766,095,
709,008,049,115,627,276,323,737,787,841,832,492,608,804,101,462,408,497,407,
885,634,002,249,410,374,703,500,999,909,353,372,620,363,764,221,084,445,135,
068,322,546,955,219,804,788,358,558,029,471,099,791,652,779,102,492,590,661,
353,723,925,339,080,175,612,911,352,675,553,657,033,486,960,552,280,495,620,
258,404,374,843,807,746,614,660,862,709,074,797,090,705,796,054,936,894,647,
833,973,581,569,147,695,938,369,197,286,588,994,068,095,988,223,378,915,101,
857,372,572,054,838,318,026,566,123,229,075,304,321,214,987,955,253,512,407,
339,348,821,621,346,059,585,117,678,025,956,912,201,022,791,905,813,388,325,
862,800,086,974,266,871,628,413,042,415,255,607,215,481,967,397,429,651,163,
015,275,971,776,874,773,715,147,428,618,645,370,777,490,220,256,561,392,090,
282,070,292,686,566,986,305,431,609,085,536,046,329,200,290,800,830,276,156,
626,447,907,568,882,450,939,694,816,261,470,799,043,423,979,929,660,210,873,
331,715,057,040,488,027,946,157,463,622,315,580,560,671,218,605,329,853,963,
158,269,874,515,329,885,159,730,613,793,180,738,380,989,240,913,356,744,700,
628,313,316,614,594,187,921,906,401,724,348,869,408,905,605,257,898,167,242,
666,362,491,473,057,439,638,430,854,123,695,442,066,411,773,224,284,875,411,
932,701,709,726,907,711,523,736,907,022,207,813,906,917,600,601,986,226,978,
868,808,761,337,558,390,426,430,661,946,979,269,035,784,499,713,265,269,826,
044,147,070,348,113,042,988,597,282,927,702,756,989,936,780,603,361,099,221,
795,632,996,499,162,484,051,207,283,341,251,284,153,841,502,249,423,681,596,
384,281,416,973,469,748,299,188,771,900,308,660,338,547,630,416,377,915,996,
602,248,657,569,097,153,679,473,169,801,960,079,215,530,298,595,829,275,242,
463,376,083,952,477,491,807,944,722,313,068,043,558,688,458,822,849,092,516,
207,136,052,502,442,463,344,510,310,814,672,083,517,298,160,355,494,064,804,
960,864,046,924,210,263,093,790,660,918,214,247,579,309,857,508,478,203,344,
915,894,251,453,686,713,249,316,580,093,115,721,449,694,509,551,365,151,334,
698,974,308,883,836,738,290,219,989,504,553,176,780,437,482,032,712,364,024,
364,235,307,080,402,290,292,592,767,422,880,465,922,710,656,751,919,432,174,
060,994,253,205,627,214,794,507,290,251,218,815,193,581,779,039,569,712,521,
680,609,385,251,490,877,201,930,441,889,939,084,959,699,142,863,300,050,429,
706,533,849,602,765,068,833,759,745,805,028,776,735,368,087,825,085,403,194,
316,009,032,420,822,478,429,931,267,197,812,785,026,465,651,495,121,115,637,
853,872,611,407,069,230,828,575,819,406,757,093,405,954,062,538,685,441,405,
112,137,222,959,605,397,089,251,204,540,889,142,763,115,417,509,586,386,975,
016,736,975,564,680,330,440,451,640,109,725,897,722,793,505,846,847,987,869,
673,529,577,892,081,769,153,403,431,943,015,143,310,364,540,053,870,557,724,
375,815,893,339,131,893,734,427,170,722,831,902,332,743,581,041,805,567,295,
728,481,085,494,846,243,999,013,094,027,115,249,098,056,091,074,605,105,814,
198,620,102,149,013,019,148,754,509,668,315,342,370,098,059,108,463,020,927,
281,835,994,020,054,232,185,503,613,751,092,993,884,059,830,301,942,351,424,
252,294,255,212,795,293,171,726,674,242,448,933,426,236,018,213,933,892,123,
294,092,012,711,427,682,920,243,751,969,315,779,170,678,886,662,361,894,243,
125,957,879,312,799,620,160,026,985,517,455,587,868,164,239,610,855,928,184,
342,935,916,860,220,585,794,447,255,718,059,068,259,995,539,658,828,546,032,
492,577,355,336,660,909,735,990,590,934,383,173,590,936,491,609,594,881,870,
340,244,879,342,018,156,423,454,368,228,125,288,135,057,348,984,918,655,011,
554,952,382,667,124,798,620,005,533,461,405,298,440,609,729,042,667,156,635,
568,815,386,458,115,392,211,286,201,460,965,863,686,930,181,605,453,867,382,
948,922,507,298,510,857,075,382,285,998,282,788,025,207,066,101,999,019,422,
522,856,449,508,840,275,499,526,144,704,440,124,377,185,437,919,943,515,976,
188,107,005,776,320,584,035,741,949,958,372,382,680,048,041,396,704,819,808,
157,792,978,538,878,328,918,836,380,623,888,289,601,836,639,582,522,468,861,
417,680,263,557,411,763,982,006,464,780,915,107,648,570,183,039,481,952,621,
928,165,523,742,515,517,202,303,622,245,359,793,542,563,883,418,844,151,522,
600,457,108,583,197,375,122,061,991,333,678,086,210,152,915,461,674,172,455,
980,233,973,956,881,603,832,867,658,502,379,390,827,274,857,826,766,463,392,
588,269,060,527,822,310,602,617,889,817,940,412,455,770,857,889,107,750,470,
772,069,912,723,525,334,722,211,760,890,821,336,667,264,601,218,320,456,298,
703,995,200,966,912,535,589,974,348,288,554,889,697,614,658,770,092,898,184,
849,387,966,507,578,853,091,339,904,200,512,047,307,989,604,050,145,564,629,
952,507,096,066,366,772,828,923,237,396,339,208,390,739,812,815,135,400,566,
037,300,573,116,234,397,983,210,461,567,486,835,121,994,784,276,625,889,679,
264,310,297,600,037,036,504,778,895,352,554,076,285,137,239,172,411,826,327,
525,640,573,137,287,119,581,405,248,453,582,741,325,850,502,357,640,464,429,
133,592,254,423,115,823,555,660,390,744,561,481,334,180,827,428,125,937,866,
521,283,479,379,504,006,982,550,078,505,028,655,357,389,379,383,052,415,371,
411,231,298,982,034,681,399,580,045,011,471,606,731,963,937,071,861,293,841,
244,930,717,284,819,837,180,288,217,107,874,768,429,225,800,356,373,332,181,
034,719,835,849,445,072,803,319,898,764,630,218,397,803,391,338,362,922,566,
197,511,354,497,469,202,180,133,687,162,274,643,923,546,844,537,652,284,205,
653,555,164,244,073,448,416,021,173,932,933,882,358,415,242,034,725,425,647,
832,643,769,609,590,074,377,804,605,010,017,736,238,378,769,648,978,957,210,
102,387,267,481,731,317,273,694,846,061,509,221,701,309,765,834,548,779,726,
010,872,362,133,466,830,811,128,873,972,583,061,057,574,557,319,554,600,634,
873,148,059,673,452,908,363,295,568,622,158,637,979,999,405,024,085,871,127,
191,483,589,984,001,739,118,814,652,392,602,562,845,600,063,246,067,923,349,
601,550,974,689,892,692,180,407,838,340,973,183,846,765,376,672,872,639,468,
223,064,531,902,703,773,363,512,992,290,230,879,419,112,717,367,151,752,964,
569,076,678,489,419,958,493,855,262,726,967,920,412,934,120,934,578,250,024,
028,605,249,228,949,680,384,388,258,451,941,887,000,966,976,145,768,249,357,
200,150,738,210,074,031,397,181,411,688,461,884,315,604,722,768,150,108,056,
885,715,587,800,823,297,672,830,669,129,879,660,701,872,495,395,260,299,937,
471,917,531,264,624,238,473,383,195,719,955,911,653,910,025,463,790,191,137,
440,575,875,873,377,866,939,040,096,599,967,703,398,374,775,578,649,221,803,
393,503,221,700,113,637,375,416,289,445,907,474,225,541,898,128,679,303,855,
050,653,384,777,840,953,009,079,501,228,245,809,849,367,150,074,255,594,142,
309,685,083,494,327,766,133,810,413,093,339,909,327,818,772,657,842,564,098,
863,906,205,849,864,098,628,399,881,863,212,665,156,158,916,060,446,298,762,
740,784,396,993,727,343,729,894,355,732,108,351,834,852,379,024,514,673,848,
905,297,071,904,066,786,090,346,699,608,440,817,722,577,442,500,770,283,052,
443,352,733,262,922,645,593,645,166,761,625,757,592,431,155,083,010,051,717,
068,519,178,033,946,557,684,664,412,257,924,088,192,127,083,063,494,901,855,
630,053,179,000,292,450,448,933,757,567,199,338,439,000,540,681,733,226,748,
830,822,865,231,398,961,983,283,816,085,157,496,287,772,425,789,604,113,534,
677,663,912,990,262,901,014,340,186,568,699,570,680,038,122,633,667,328,894,
210,396,737,217,897,514,735,923,790,777,591,184,927,564,642,733,972,999,041,
469,163,384,172,279,649,613,397,866,460,349,259,371,214,980,133,534,538,015,
082,653,863,235,703,611,370,404,496,520,064,853,958,907,589,369,935,837,392,
650,744,102,109,427,956,466,183,089,052,988,007,426,076,614,294,712,854,413,
694,434,922,784,303,634,177,973,189,475,427,924,589,025,422,055,712,079,317,
706,471,813,501,995,897,709,029,467,424,157,420,304,231,897,840,821,194,815,
189,383,298,498,218,730,708,327,337,404,040,175,740,013,100,492,154,038,968,
608,070,876,306,174,538,365,364,226,892,047,637,827,943,470,804,753,492,173,
592,138,249,774,526,249,416,496,762,673,336,122,585,187,280,700,824,621,286,
089,284,957,930,169,272,279,949,028,600,146,426,005,746,937,323,939,480,163,
283,156,690,222,793,092,230,118,050,575,255,184,937,759,103,002,227,163,756,
859,931,224,810,430,403,214,171,356,062,814,637,284,568,037,350,648,079,328,
737,401,754,551,949,581,958,306,090,946,578,279,038,413,514,916,828,840,677,
045,252,797,150,345,861,491,064,179,632,589,572,492,570,769,110,335,039,786,
744,589,835,889,221,171,648,925,054,412,117,379,867,370,741,294,321,073,234,
767,053,642,605,572,140,102,136,297,901,838,450,666,972,314,514,551,718,355,
441,990,913,928,245,835,508,442,511,917,931,649,593,884,656,438,983,591,045,
117,110,894,998,370,183,215,273,510,721,771,191,220,857,503,792,803,070,856,
840,359,776,468,113,180,008,853,216,376,801,723,039,474,240,939,873,457,111,
532,771,962,551,191,494,060,493,317,748,871,608,258,168,149,294,066,981,344,
840,839,663,932,013,080,694,915,689,758,054,585,348,031,165,467,425,949,666,
403,992,657,022,526,067,244,601,960,981,627,974,313,708,425,075,795,895,300,
715,749,701,403,368,986,761,107,952,064,649,714,821,959,960,618,927,615,864,
011,638,480,413,605,251,291,559,814,310,087,066,202,063,267,093,391,563,746,
996,073,543,155,480,067,754,267,691,928,542,695,767,891,875,194,875,154,880,
039,188,091,577,552,245,374,458,924,122,061,566,240,103,458,780,816,916,205,
414,081,479,789,987,922,424,428,553,498,299,452,229,742,579,608,742,750,304,
797,956,317,773,462,709,898,597,618,668,109,313,690,151,463,961,055,251,559,
517,317,742,724,790,391,588,218,963,581,763,613,936,703,493,323,348,688,096,
153,224,063,406,489,411,414,259,449,457,409,729,358,998,996,386,221,092,232,
306,315,744,476,032,174,966,796,482,495,012,900,814,968,689,944,598,383,621,
718,478,503,691,947,802,962,844,359,236,154,182,619,271,197,116,651,295,450,
991,486,381,873,014,266,979,243,788,952,379,239,287,028,517,596,954,996,074,
214,269,015,397,974,619,267,261,821,679,554,966,158,560,445,687,066,223,161,
466,516,929,530,058,437,285,570,916,188,014,553,549,113,887,888,136,986,599,
682,522,580,505,961,982,510,024,214,026,194,183,935,432,142,777,368,514,955,
326,183,245,585,162,170,471,738,084,600,084,780,125,142,437,881,582,658,280,
270,556,974,529,110,648,869,630,579,143,279,090,365,965,834,063,539,944,416,
003,178,000,525,764,621,194,141,292,257,223,401,358,888,746,338,504,716,388,
102,284,447,471,906,594,545,911,349,645,993,817,252,233,481,501,332,101,474,
903,619,812,679,741,862,271,604,737,390,018,888,387,352,340,943,711,983,525,
924,830,776,009,530,618,543,247,604,604,807,246,290,374,747,983,059,253,809,
153,521,657,305,226,369,101,517,059,627,080,800,931,264,594,084,698,337,270,
589,696,496,227,247,723,428,016,940,349,599,607,458,215,535,386,616,614,706,
206,564,361,473,307,450,244,332,345,454,126,955,792,408,998,343,963,990,302,
063,426,916,626,432,535,874,059,921,676,308,342,070,607,691,210,720,094,050,
255,145,948,079,401,920,372,251,850,401,379,887,068,214,802,942,340,366,767,
234,880,510,884,111,007,614,138,287,593,431,797,129,437,929,340,254,807,686,
776,763,408,323,276,808,405,013,127,722,309,441,682,080,542,366,406,792,600,
916,424,736,358,549,205,699,406,352,838,742,942,425,596,986,319,714,205,070,
625,943,888,761,862,278,024,857,976,764,605,676,503,551,833,661,897,447,612,
287,634,973,377,196,392,310,332,133,561,401,624,125,072,032,365,269,893,519,
347,894,351,621,036,291,427,291,880,884,380,205,893,564,809,786,555,538,068,
057,597,732,136,886,980,818,607,425,859,066,484,409,180,703,253,879,694,296,
693,352,737,442,253,680,915,562,515,266,120,521,622,395,897,317,510,552,562,
955,842,031,554,321,340,336,128,328,382,996,108,431,402,099,441,490,249,690,
167,702,749,171,337,826,581,093,032,134,484,787,594,194,533,191,974,536,187,
159,911,508,167,988,476,623,692,050,480,604,734,870,471,011,357,965,404,443,
764,977,700,471,697,961,577,687,997,440,114,418,892,894,949,932,150,537,287,
016,967,385,017,433,964,682,238,566,759,755,242,235,694,825,488,816,086,896,
084,853,319,684,064,313,061,898,358,330,915,027,002,327,142,828,650,508,680,
609,857,211,703,609,382,845,956,102,504,362,445,966,305,375,604,412,998,746,
192,019,046,848,067,616,686,479,397,515,863,290,698,127,991,443,398,194,007,
846,122,836,919,296,851,145,534,529,047,923,994,023,033,440,413,884,546,527,
983,330,984,628,903,820,714,434,824,618,926,008,082,961,157,639,283,363,419,
668,543,870,464,569,372,364,709,908,316,869,012,505,756,186,100,925,421,642,
818,429,780,986,332,344,770,843,418,116,953,904,256,061,049,224,935,330,435,
429,903,623,246,207,753,212,553,061,607,858,605,355,733,807,830,369,620,112,
822,983,024,692,757,000,310,324,196,057,615,500,172,461,730,962,642,449,508,
333,972,412,757,233,637,015,412,558,265,994,797,033,912,409,605,087,018,104,
755,154,095,166,904,377,668,067,168,608,076,251,293,305,210,205,552,507,261,
421,241,271,632,110,369,877,491,281,130,133,684,119,632,442,921,754,529,316,
182,821,196,485,398,580,750,048,671,797,879,284,399,645,555,470,362,093,558,
419,072,206,767,673,419,561,537,968,010,754,234,805,203,282,574,278,746,564,
844,697,701,300,056,173,693,558,366,329,580,587,257,437,265,860,327,625,282,
950,481,100,466,932,332,754,711,826,587,089,391,149,133,422,176,300,487,033,
627,637,558,709,819,123,449,790,528,887,929,209,265,249,012,315,432,875,462,
205,192,682,348,421,852,530,521,377,291,382,411,087,684,266,682,287,740,562,
079,456,884,515,148,852,234,263,817,797,897,277,491,829,718,100,456,192,263,
366,769,860,200,236,577,663,546,110,639,762,323,675,735,243,249,568,251,609,
769,861,760,389,740,818,706,804,585,691,180,886,411,222,992,627,489,033,412,
435,781,426,088,515,949,038,135,305,101,134,932,239,191,559,450,896,655,598,
221,864,250,230,195,021,821,568,242,575,532,229,251,908,166,612,414,483,289,
021,475,618,086,815,098,362,865,589,963,953,315,544,585,158,768,235,447,545,
081,744,345,271,945,234,395,006,842,563,986,266,942,273,588,988,845,053,577,
093,096,407,171,851,439,316,654,892,163,982,920,700,718,093,198,313,233,288,
748,483,577,288,313,629,309,987,431,767,847,045,645,712,784,564,980,507,776,
694,831,800,420,267,570,051,004,154,168,495,278,060,731,328,491,184,372,019,
649,332,938,156,818,768,839,300,772,507,108,672,021,792,050,114,646,095,622,
953,460,601,135,368,252,651,898,269,664,827,287,231,311,202,064,130,206,354,
254,128,618,125,916,346,158,614,987,175,188,960,847,210,802,227,699,666,787,
084,580,673,500,269,808,003,430,459,233,928,937,287,783,418,694,552,749,710,
036,497,938,908,128,752,177,889,219,770,641,180,736,501,218,218,005,536,235,
881,834,785,019,607,690,553,465,843,504,208,192,468,020,211,759,197,123,494,
738,521,588,292,790,178,830,295,561,823,465,714,056,504,889,308,802,063,616,
077,473,429,159,819,657,709,842,124,416,549,979,905,516,649,357,728,518,764,
117,538,106,365,925,007,379,680,297,644,075,533,323,606,559,513,601,479,210,
329,982,705,798,244,522,660,848,352,348,376,131,590,053,749,364,684,941,952,
434,647,541,526,535,422,615,690,266,630,743,998,142,977,799,290,577,936,678,
997,643,193,358,927,092,430,344,061,596,200,167,106,229,972,073,452,865,197,
141,725,464,193,742,463,098,113,550,215,920,261,800,051,729,664,981,095,215,
585,246,545,479,279,684,756,529,843,573,018,530,711,925,893,712,572,606,933,
320,000,239,936,063,582,189,324,015,178,892,510,325,735,840,161,714,037,473,
086,046,398,105,411,742,333,623,380,403,631,164,338,469,829,027,914,439,755,
389,477,969,760,947,960,975,534,346,304,617,888,270,514,883,303,067,460,300,
741,604,517,630,333,470,288,391,705,748,555,024,015,726,639,717,723,932,579,
069,547,808,422,224,977,113,987,929,581,669,843,165,603,095,561,205,572,356,
544,550,103,729,551,686,131,020,255,841,665,963,697,126,156,700,933,763,641,
924,810,489,415,967,979,793,651,625,988,886,048,625,858,112,397,190,469,828,
497,211,418,945,836,666,575,513,487,079,093,551,905,649,452,642,492,844,774,
552,167,268,134,063,057,171,288,352,114,807,477,711,428,682,972,225,553,939,
875,633,531,407,456,608,528,238,494,983,987,124,974,153,247,660,926,266,697,
929,385,235,835,917,346,088,323,066,492,525,688,641,963,270,066,335,276,022,
466,470,288,140,749,619,149,367,991,567,835,066,443,779,767,191,380,466,936,
577,279,462,811,495,097,462,309,277,048,511,581,960,246,454,764,524,289,151,
674,085,865,283,644,059,715,662,889,071,246,837,853,937,169,328,949,621,171,
711,499,167,399,716,643,102,693,026,017,855,456,231,830,104,880,414,721,538,
530,423,076,439,309,085,972,012,431,135,322,704,884,576,568,956,925,006,556,
085,074,511,197,479,474,174,109,156,994,863,488,357,347,111,949,333,353,709,
841,089,761,633,749,755,080,647,629,592,331,754,637,616,866,776,442,458,669,
804,262,675,530,654,914,445,893,038,339,181,296,276,884,788,324,087,859,631,
120,124,807,827,760,258,091,744,000,745,292,879,779,264,925,908,652,540,572,
421,321,035,360,293,372,922,888,948,406,909,845,678,804,462,029,285,580,910,
097,218,375,097,390,903,368,592,051,973,360,660,503,811,540,163,184,495,187,
453,981,731,887,381,906,056,755,449,717,656,376,948,628,344,835,495,969,554,
431,594,620,516,033,031,900,299,636,891,579,742,145,997,108,977,539,510,241,
984,919,972,171,805,216,042,353,959,543,143,103,250,627,346,435,541,910,234,
138,109,421,373,087,464,699,394,444,037,447,662,198,064,711,562,304,799,283,
402,311,663,705,404,817,283,725,645,849,836,659,064,123,198,841,769,696,903,
868,281,087,385,585,407,905,747,270,760,331,267,063,472,221,144,768,427,648,
524,187,700,653,042,952,283,694,203,124,571,139,848,065,290,638,187,358,557,
783,776,145,345,422,247,645,749,515,381,698,290,891,974,685,934,714,094,885,
196,383,157,605,392,806,695,272,995,437,501,023,660,580,522,196,318,533,137,
621,567,007,084,517,589,628,152,186,693,327,021,683,658,158,461,367,408,005,
401,848,598,370,059,966,721,855,494,997,428,115,172,348,779,029,332,693,368,
168,773,190,752,854,696,876,154,240,028,872,554,010,852,025,686,715,317,426,
653,601,537,300,591,566,277,142,104,248,115,072,717,985,989,131,811,219,161,
508,694,689,731,555,569,150,707,352,309,689,978,540,836,469,255,246,108,312,
742,752,209,199,822,013,326,301,099,747,038,320,961,407,212,216,849,185,690,
241,270,537,985,622,568,679,099,720,186,559,559,141,686,044,054,603,976,267,
844,985,623,488,409,102,454,090,500,828,349,473,156,595,257,240,897,837,122,
661,378,410,170,933,756,460,861,151,096,527,034,989,797,234,621,602,964,346,
896,281,274,468,272,256,738,028,861,171,498,996,134,401,912,028,886,144,515,
577,381,753,309,752,712,777,819,372,492,619,254,711,032,626,948,768,397,980,
695,251,952,834,033,186,756,928,961,868,434,330,249,357,402,109,227,183,470,
280,326,889,000,179,954,555,514,241,320,568,139,912,348,533,876,344,639,747,
384,337,292,010,162,446,941,322,276,921,207,339,259,498,537,536,979,213,591,
906,964,216,785,816,787,552,840,537,464,069,251,107,552,819,294,260,605,344,
097,182,442,895,626,798,955,153,292,113,451,266,620,386,235,060,717,552,041,
957,583,253,300,628,155,921,649,400,456,740,239,092,087,077,638,493,248,595,
807,669,389,403,643,568,073,392,696,136,750,390,814,830,975,008,614,680,088,
356,219,915,651,520,178,531,220,249,495,186,347,233,325,870,735,189,963,673,
333,881,907,082,357,507,820,920,798,849,681,457,610,819,070,426,804,148,945,
751,519,655,848,648,536,372,914,346,422,240,108,655,779,495,796,603,265,662,
653,555,826,984,193,250,952,862,429,553,409,332,297,360,476,055,655,100,051,
600,847,723,626,574,796,542,064,422,946,544,631,520,964,899,154,499,232,428,
449,225,775,711,061,827,243,995,407,964,085,638,200,128,936,243,665,580,004,
950,573,543,275,491,728,489,803,073,921,857,409,230,106,269,086,901,890,954,
042,596,887,578,940,087,256,887,148,272,094,906,406,085,412,252,395,476,065,
769,152,795,726,423,448,548,820,818,340,469,694,896,203,718,514,458,320,223,
749,893,205,490,733,642,365,189,255,253,496,091,143,467,709,713,270,570,541,
463,849,966,589,464,551,961,209,789,901,815,380,012,248,762,282,478,991,780,
163,037,922,039,249,956,930,344,526,677,274,543,929,657,284,014,407,929,410,
452,696,271,754,074,288,430,651,793,724,886,656,715,375,157,167,240,629,181,
565,302,947,327,876,798,445,540,396,481,455,355,316,959,907,742,124,006,294,
926,851,480,805,721,525,858,753,885,708,142,606,899,138,710,922,343,703,920,
167,386,593,876,620,845,315,051,630,054,067,344,229,150,250,926,944,262,633,
453,938,145,974,681,409,360,975,116,994,775,735,801,961,818,806,780,424,682,
097,386,360,011,727,942,655,535,120,608,775,459,161,348,270,690,233,755,820,
025,333,984,299,888,306,318,090,681,040,308,064,333,127,159,867,102,745,935,
544,158,124,011,601,178,208,653,479,905,817,707,337,208,901,078,383,065,635,
509,265,221,519,884,644,519,628,554,999,955,745,773,800,003,525,647,496,269,
134,360,472,043,368,453,835,780,693,436,294,987,779,364,829,130,521,930,445,
656,297,971,564,750,507,961,814,705,904,325,177,880,692,239,591,997,678,379,
811,039,388,187,845,867,986,757,474,872,241,143,923,169,412,939,896,404,850,
212,665,650,699,544,426,327,172,572,143,630,961,707,512,193,362,360,479,563,
787,984,142,629,608,969,164,602,514,244,133,301,589,000,935,480,962,615,860,
156,715,210,770,224,414,557,672,399,168,519,933,462,600,546,026,534,823,800,
823,963,851,544,044,614,653,260,762,936,425,146,533,233,427,281,255,370,674,
050,534,482,141,606,810,533,142,700,165,529,116,413,185,419,502,210,636,387,
594,748,042,426,988,541,142,227,787,693,899,202,417,127,007,926,575,824,841,
543,833,438,916,409,557,469,618,870,495,420,383,473,626,104,000,759,118,574,
524,080,252,125,115,596,465,819,052,279,072,685,405,216,984,014,569,587,342,
593,189,164,524,876,015,257,170,871,497,206,887,887,048,940,471,334,362,505,
752,498,186,875,183,965,609,230,701,276,620,924,519,767,209,181,506,316,293,
126,412,130,056,509,161,499,491,624,633,104,732,514,852,670,262,976,804,439,
971,818,036,160,534,949,600,226,172,492,830,482,947,853,411,999,248,152,580,
592,208,290,198,983,049,497,575,782,962,130,789,435,840,530,456,418,277,265,
942,272,189,642,588,467,144,694,157,094,071,652,086,754,556,457,291,751,505,
697,559,692,368,652,166,412,694,391,099,059,704,724,622,924,797,305,188,782,
468,907,458,450,334,381,811,806,152,619,001,003,322,999,395,520,072,806,913,
686,451,246,105,689,230,278,092,729,530,799,454,792,790,251,444,882,448,550,
639,032,066,241,141,735,475,435,993,496,248,579,351,104,750,339,635,086,198,
921,634,740,643,650,533,798,939,673,289,849,267,666,450,604,817,418,321,380,
319,622,050,777,687,918,166,576,825,631,802,011,278,642,826,544,946,677,966,
212,953,559,235,095,974,666,470,869,007,146,973,404,715,245,722,869,316,988,
146,362,880,386,194,235,315,949,902,872,110,039,359,078,294,405,826,158,783,
103,013,597,013,282,993,851,821,956,235,136,134,805,590,621,416,584,303,761,
691,549,925,599,100,700,025,952,471,245,942,396,854,465,081,971,732,889,863,
228,942,445,567,881,967,625,070,134,971,086,010,000,448,791,447,661,926,771,
234,005,742,282,334,840,315,759,871,990,975,157,314,550,475,034,447,267,041,
729,043,572,446,080,468,723,610,077,985,160,365,979,911,794,670,684,081,009,
211,288,514,878,856,408,295,564,846,489,827,946,035,254,703,108,028,078,101,
790,973,526,915,587,304,159,035,642,207,739,818,932,629,320,259,057,516,375,
184,404,497,605,195,953,261,016,975,051,512,318,229,343,014,812,260,945,482,
497,398,628,725,482,362,831,009,674,345,863,592,084,185,822,872,139,885,720,
836,861,568,293,091,906,247,504,287,980,796,950,779,847,633,477,475,744,886,
997,590,525,869,386,115,371,992,406,554,624,443,161,412,229,444,133,093,139,
079,024,528,525,249,033,225,072,184,563,504,020,327,339,648,394,343,414,370,
606,393,580,944,169,999,403,203,319,218,108,775,017,686,659,404,654,648,865,
212,260,976,340,097,615,094,739,350,453,939,137,605,744,476,928,497,813,035,
507,435,699,159,351,121,128,566,949,983,750,276,260,598,304,506,165,670,395,
029,044,185,947,024,173,770,949,687,520,486,467,941,735,393,494,062,950,680,
762,625,913,865,586,548,618,832,706,934,532,472,317,169,666,805,439,339,759,
222,161,778,913,967,640,013,979,419,298,306,007,812,635,438,937,076,284,271,
900,019,884,717,550,461,859,150,981,634,471,474,784,619,653,093,575,764,490,
309,240,047,705,104,494,912,290,081,159,446,521,123,534,031,192,635,126,629,
863,828,419,781,655,346,088,679,294,741,538,422,598,209,844,331,170,337,036,
070,742,113,204,833,690,693,535,127,058,756,679,701,780,535,830,381,482,788,
467,436,681,793,465,956,437,376,373,730,535,144,134,405,546,071,157,499,117,
323,239,559,101,645,216,067,480,823,478,389,733,013,303,667,474,864,460,434,
512,133,409,916,537,780,324,417,215,571,095,123,781,422,809,156,162,263,009,
377,475,075,057,130,790,832,044,232,823,836,667,076,347,074,181,230,810,893,
222,073,795,751,141,560,016,071,727,404,054,127,417,162,995,969,811,467,041,
372,743,831,796,424,934,509,068,733,140,275,218,761,356,274,334,916,818,743,
225,191,219,020,066,385,192,881,495,094,768,658,452,981,187,208,377,926,083,
459,831,864,351,718,313,760,743,114,707,777,927,146,905,226,540,450,418,442,
541,780,167,088,082,711,699,338,907,375,443,708,409,492,793,184,611,483,812,
987,222,469,804,889,440,706,380,310,139,535,769,139,923,590,552,233,452,409,
452,586,695,332,809,972,699,810,465,395,618,793,916,546,954,791,169,593,907,
575,737,701,305,889,503,775,804,746,961,499,269,024,847,219,911,300,995,516,
195,422,212,878,817,770,430,010,911,554,126,969,955,019,861,457,473,391,899,
690,348,113,717,192,575,916,435,709,608,835,834,943,475,190,746,472,630,348,
213,778,870,041,405,866,722,635,814,881,659,881,753,128,446,863,256,434,070,
917,379,478,143,201,509,801,536,492,553,108,406,314,474,951,716,851,860,917,
559,554,010,169,737,994,835,129,199,003,917,458,232,345,759,050,011,740,551,
424,956,621,622,649,162,301,785,101,604,931,397,181,592,201,739,923,720,076,
222,110,194,197,502,004,399,579,421,902,512,180,920,760,595,152,324,788,223,
259,275,124,813,998,067,999,131,759,555,413,748,324,439,307,025,933,125,918,
085,451,524,320,266,912,770,648,245,938,531,841,536,615,500,258,883,083,045,
374,600,370,662,744,611,122,597,741,499,493,241,069,026,612,806,826,371,189,
404,747,381,881,462,113,506,428,066,671,845,041,905,319,421,386,468,949,744,
530,270,157,183,241,077,741,535,134,296,387,316,853,924,408,693,043,565,043,
407,266,614,740,694,596,287,627,390,210,694,045,737,217,587,579,157,623,668,
142,976,571,838,866,220,664,692,613,688,291,972,904,219,669,588,278,875,325,
573,147,198,434,923,494,870,055,217,377,882,365,542,392,074,427,974,983,502,
394,476,020,751,470,125,009,450,789,967,019,451,128,876,556,965,143,867,442,
002,866,369,297,342,561,748,572,822,625,736,902,679,497,734,562,746,234,166,
772,624,405,699,880,383,406,314,261,705,350,413,333,597,564,291,172,901,301,
642,719,675,297,652,572,534,869,702,686,229,013,700,438,182,511,029,056,492,
884,997,441,986,426,608,033,674,367,832,989,560,920,681,440,150,573,570,534,
332,151,391,091,749,684,537,737,868,752,061,869,234,118,262,708,679,847,073,
108,122,330,784,055,987,697,497,763,172,968,829,821,801,631,703,100,601,819,
685,414,649,266,337,973,788,223,077,604,998,609,011,199,801,603,385,486,276,
509,179,908,881,087,714,448,723,409,487,161,355,293,251,482,314,151,532,821,
409,327,235,668,869,332,441,633,293,912,980,221,455,328,775,819,657,021,246,
249,074,339,136,184,623,813,181,437,521,620,017,474,425,211,475,242,023,640,
243,175,421,610,144,183,720,702,252,514,739,538,053,451,503,876,992,060,581,
327,549,255,843,349,695,015,861,233,305,954,407,717,429,613,101,415,165,304,
982,422,041,787,232,589,044,996,428,141,088,546,124,627,590,846,424,824,603,
794,219,006,693,801,725,331,756,880,139,390,214,546,639,674,121,374,554,724,
966,492,086,965,703,169,970,799,969,555,187,230,524,297,901,101,629,026,400,
684,359,387,077,196,626,311,983,797,365,425,326,694,542,714,823,427,842,373,
993,142,868,139,414,873,831,508,043,727,074,446,498,818,019,438,881,414,204,
700,539,083,531,761,625,873,996,478,563,479,306,045,342,378,895,558,072,905,
498,355,087,300,352,981,995,001,279,525,637,160,766,323,423,492,728,368,940,
315,402,567,835,317,925,088,856,460,514,154,652,248,392,454,143,848,968,147,
051,212,332,278,188,212,531,724,412,133,379,551,060,329,035,256,862,955,394,
153,323,389,664,397,347,149,199,254,948,510,524,037,296,699,988,891,689,302,
659,515,122,937,287,390,982,402,220,810,991,016,606,766,561,172,580,493,845,
446,150,897,111,758,257,464,823,069,329,751,591,165,635,726,167,431,796,970,
545,617,862,597,245,060,187,691,143,222,406,393,924,645,229,655,795,226,123,
335,906,022,798,924,131,727,932,910,903,051,068,873,166,193,495,335,541,105,
378,651,956,332,849,527,552,309,063,577,363,807,720,372,525,793,643,250,089,
675,182,595,854,464,427,246,554,704,419,632,617,765,799,180,060,896,268,767,
777,109,081,137,690,052,869,426,682,619,821,974,636,846,295,590,875,902,799,
047,555,816,128,839,413,979,683,546,270,169,357,829,063,953,788,659,344,975,
365,627,128,379,793,280,852,838,187,452,848,080,613,380,179,321,885,170,736,
085,651,296,943,443,824,914,008,683,516,856,294,641,879,043,467,554,998,518,
835,378,674,707,704,010,571,034,321,189,410,029,904,377,512,451,180,592,986,
930,284,559,268,329,067,930,774,916,689,219,107,497,924,719,901,665,619,089,
259,618,677,972,864,804,797,346,213,671,005,196,702,944,149,384,774,508,392,
415,773,949,126,556,452,314,027,289,502,761,088,584,350,979,362,474,259,221,
657,827,841,088,465,966,841,639,064,261,331,759,673,925,599,078,584,407,244,
440,334,546,963,285,986,504,873,562,309,278,671,009,511,438,515,342,807,900,
513,726,001,469,779,990,197,649,442,335,367,277,431,352,953,190,723,948,527,
817,488,152,619,038,700,755,303,173,179,572,199,311,606,931,648,052,555,297,
170,249,693,854,088,437,454,168,415,245,709,013,735,176,885,524,005,256,665,
050,868,087,321,380,756,997,569,155,578,219,856,089,506,512,813,786,196,595,
572,885,288,046,523,557,888,457,031,532,939,261,478,913,569,740,091,306,927,
734,743,120,604,239,296,150,919,843,212,493,949,306,739,650,605,077,692,711,
844,252,941,326,840,862,602,443,022,686,785,318,566,892,220,061,131,160,299,
364,702,853,379,750,871,312,156,627,852,107,194,037,240,750,880,937,007,077,
115,373,727,410,738,492,654,623,291,323,429,331,243,298,863,836,348,398,535,
612,260,092,806,115,756,088,854,292,149,008,817,243,699,055,356,274,892,835,
162,641,225,242,300,629,447,180,456,623,123,024,496,313,443,757,342,985,390,
491,171,224,198,310,441,947,491,444,050,918,027,695,807,061,661,332,427,260,
594,744,862,301,877,277,729,759,891,522,576,757,614,428,140,637,458,401,426,
145,995,824,282,971,232,073,003,604,728,253,509,101,651,989,819,368,040,743,
652,806,829,497,085,266,597,456,387,738,710,475,810,175,746,958,650,382,680,
057,918,552,375,202,595,147,398,985,942,058,724,649,920,134,178,494,006,847,
399,055,630,798,333,934,007,822,712,133,429,120,205,406,385,133,456,566,903,
080,825,843,980,752,566,452,571,675,547,201,842,487,833,279,647,581,449,374,
013,360,968,153,150,476,225,250,769,790,768,361,659,675,954,797,531,479,862,
587,365,690,400,932,878,754,578,558,380,762,781,207,359,986,494,698,253,845,
408,964,560,590,577,721,514,293,107,035,517,064,977,515,722,933,456,436,630,
760,149,023,197,295,068,065,711,320,577,284,300,253,467,523,904,405,129,981,
925,578,783,579,202,826,450,641,785,509,394,103,096,601,599,091,472,776,211,
924,799,777,309,171,516,371,261,345,077,396,848,041,897,291,856,347,109,788,
692,367,794,021,335,827,431,594,988,960,317,472,896,236,065,267,752,865,483,
381,506,191,497,581,071,372,718,587,305,121,940,020,798,097,413,304,601,944,
930,749,999,162,944,191,347,230,691,196,706,361,148,161,149,337,676,492,216,
162,849,125,831,823,238,233,810,059,137,521,285,539,239,722,741,916,036,757,
147,169,164,794,900,218,063,180,378,476,011,189,489,459,474,310,894,669,554,
152,096,096,728,857,469,142,241,417,960,818,657,742,701,767,278,693,002,866,
327,253,564,200,459,148,366,552,375,685,771,968,970,227,516,296,331,754,099,
818,154,439,831,022,868,085,798,491,260,390,787,836,760,655,787,381,539,880,
967,965,457,622,388,967,937,160,817,296,134,820,698,602,889,895,943,398,163,
650,140,360,678,207,570,356,104,706,868,354,272,286,346,401,247,253,413,018,
791,120,853,015,416,455,862,782,528,531,200,113,121,313,397,475,942,943,536,
967,366,698,307,093,327,818,848,049,559,749,242,051,956,917,851,813,738,627,
626,832,789,813,222,360,895,085,355,023,559,954,615,300,543,374,759,343,702,
123,367,190,367,229,814,635,466,108,554,607,715,237,795,856,085,198,620,033,
377,413,480,887,078,298,341,746,886,596,216,844,214,873,542,974,716,552,127,
296,680,505,794,130,164,478,926,676,065,622,949,051,238,029,027,318,740,566,
993,705,379,819,268,185,129,657,656,023,748,704,368,877,129,539,279,982,443,
009,813,748,032,376,758,782,455,522,127,865,375,399,377,333,156,898,731,982,
567,096,139,039,919,549,645,559,459,387,970,302,161,827,121,160,803,024,543,
881,694,630,087,671,599,356,728,410,096,306,196,240,961,092,202,067,176,481,
309,242,630,144,603,094,945,688,027,125,787,045,892,100,581,610,881,368,647,
716,983,050,710,436,551,816,475,136,218,762,128,598,532,176,806,593,041,091,
098,251,985,935,698,284,819,704,831,541,607,876,781,309,952,801,340,670,609,
546,511,895,978,407,198,868,228,037,626,836,942,310,829,056,227,486,564,039,
828,400,694,239,239,708,405,499,882,015,020,460,382,896,603,322,539,427,282,
909,723,107,739,735,646,667,631,641,005,553,374,661,214,727,862,720,458,374,
350,876,542,613,666,503,194,068,656,527,383,171,908,544,327,821,986,675,055,
521,664,973,081,225,142,776,900,101,983,705,825,515,538,494,881,036,353,763,
813,695,949,704,308,387,678,253,258,619,805,332,847,546,422,487,411,517,872,
799,407,408,956,189,888,240,504,009,371,075,768,793,460,772,519,848,322,557,
474,872,013,014,611,616,086,256,947,440,628,412,180,787,500,932,838,071,009,
013,791,422,342,643,908,016,451,646,770,702,021,371,246,019,325,679,757,350,
260,473,567,752,513,219,813,358,937,644,846,968,610,406,492,181,509,110,006,
721,975,063,965,827,369,664,173,891,879,877,908,291,901,261,140,651,601,588,
711,166,529,314,385,315,822,644,175,473,661,467,924,997,532,589,022,055,845,
497,523,824,614,646,403,525,806,483,240,717,950,154,083,990,738,555,453,475,
574,575,500,767,701,593,069,349,076,897,712,961,351,819,392,830,826,733,446,
845,530,945,886,834,492,367,979,603,559,415,525,765,101,515,359,854,371,491,
309,567,698,113,981,994,730,342,693,819,049,989,074,556,252,377,534,791,569,
762,652,290,910,891,420,256,991,828,527,098,563,299,519,687,970,589,874,242,
358,407,717,895,733,459,665,921,994,283,770,600,418,277,647,202,859,355,582,
942,423,317,886,786,504,547,934,548,741,720,646,894,702,841,654,599,805,098,
007,216,311,028,600,478,087,836,826,299,596,052,126,245,652,620,357,537,146,
636,663,525,639,498,610,599,393,680,140,129,927,509,814,274,695,795,048,240,
439,155,629,758,348,358,455,235,378,495,948,190,480,943,218,485,961,516,917,
125,150,064,330,828,433,822,392,438,292,885,671,575,743,996,477,473,417,766,
869,903,540,187,256,675,821,618,097,275,111,769,474,274,929,558,854,055,017,
361,327,425,416,013,581,655,324,087,467,650,892,966,563,247,758,128,979,678,
598,891,066,258,614,883,205,100,418,227,646,568,200,563,855,193,375,957,979,
525,487,847,378,726,335,168,571,090,464,062,847,445,227,410,538,605,418,859,
237,472,069,444,626,729,349,076,142,501,976,918,528,601,554,485,201,976,281,
716,618,440,585,453,101,424,581,447,350,056,519,907,318,367,740,879,813,505,
212,559,434,776,307,673,791,330,437,182,107,257,945,676,393,936,016,750,662,
223,207,007,774,589,232,649,717,169,881,952,942,156,247,682,578,820,816,033,
613,052,179,534,969,313,664,169,694,631,864,977,763,090,011,385,312,762,587,
797,654,988,921,995,459,254,672,536,818,879,850,523,642,007,701,981,000,948,
893,876,970,935,461,196,260,789,024,387,969,847,108,804,957,704,906,851,084,
661,508,690,422,729,333,284,584,692,876,622,902,247,243,339,403,061,032,937,
125,323,010,592,956,493,615,190,283,618,606,052,344,557,344,288,214,003,206,
627,847,741,922,523,796,200,151,276,405,707,576,206,060,576,716,677,181,103,
621,003,215,800,918,055,223,441,460,014,813,337,687,528,939,114,232,393,837,
583,337,684,229,758,793,735,775,104,772,205,841,998,760,714,027,799,383,447,
742,632,315,945,565,962,753,254,596,923,002,727,667,998,895,016,093,452,586,
999,617,784,635,117,136,844,345,118,820,066,600,063,402,351,339,165,784,131,
103,271,369,072,649,933,230,016,100,655,376,221,662,931,177,434,956,005,187,
832,309,208,053,819,873,711,084,468,068,050,751,443,376,181,773,875,371,971,
432,410,342,160,054,885,176,629,503,277,082,433,392,041,406,862,531,084,089,
306,564,652,786,415,571,676,347,251,792,575,962,069,405,197,803,630,094,112,
386,212,458,394,348,416,450,191,499,690,897,313,132,065,010,857,501,595,566,
864,046,483,888,194,214,471,095,248,594,459,242,535,944,321,258,670,020,532,
976,535,488,475,135,256,952,666,244,958,790,513,148,118,847,852,391,069,524,
093,402,614,437,133,563,045,272,352,693,684,519,166,418,955,688,189,252,555,
878,746,940,733,267,642,131,501,612,269,066,877,651,877,086,967,147,709,255,
027,173,850,281,059,073,773,232,787,546,277,645,592,476,243,678,802,646,096,
324,343,338,223,259,191,367,246,391,048,974,862,163,850,536,040,861,729,866,
089,662,497,540,133,408,493,532,416,806,818,548,456,751,976,041,170,483,583,
156,644,634,315,414,449,193,992,055,342,661,099,822,378,263,182,744,028,868,
026,164,895,546,536,455,320,666,375,335,042,055,882,770,442,645,345,873,464,
211,985,151,708,775,324,082,856,202,656,134,008,136,315,553,488,973,680,125,
354,088,259,579,533,937,726,839,747,925,241,403,618,627,775,531,598,177,393,
054,116,318,104,964,939,155,454,638,405,778,223,262,178,677,413,445,479,357,
275,107,288,443,034,626,021,013,217,437,335,790,468,400,227,084,883,765,064,
110,235,714,604,537,256,936,169,682,679,318,062,124,493,722,597,979,277,654,
532,351,948,136,412,857,372,867,680,092,328,007,523,085,174,479,786,806,125,
465,961,376,157,873,388,436,354,151,512,803,076,116,727,052,534,996,746,657,
928,729,791,923,845,148,504,322,000,387,026,523,655,167,249,636,238,279,165,
892,948,362,079,143,623,356,514,796,981,255,842,334,709,215,644,369,871,437,
845,075,511,933,243,929,384,176,246,343,579,487,658,867,382,014,683,054,891,
501,217,427,874,494,265,526,884,459,786,126,236,299,315,892,450,677,152,644,
163,491,419,342,143,285,910,512,097,193,045,424,794,696,175,451,202,162,901,
220,403,216,078,026,605,792,093,877,142,155,861,185,342,301,634,671,678,482,
539,973,478,599,378,547,236,278,304,204,773,382,206,212,430,504,042,366,778,
521,127,650,377,285,030,824,607,742,374,481,424,026,043,619,202,442,255,202,
597,232,877,339,175,213,543,937,708,666,839,952,553,970,786,393,907,093,241,
276,629,391,750,549,270,030,023,264,620,581,632,857,076,489,633,133,485,548,
347,940,282,257,121,702,822,898,292,002,126,616,668,661,286,105,618,717,755,
333,787,734,921,906,633,238,512,626,116,960,958,399,187,153,981,089,892,836,
015,332,973,367,488,934,476,604,177,358,047,769,320,387,164,602,574,716,603,
885,235,207,175,028,020,719,543,422,170,072,676,875,414,752,779,757,276,069,
116,148,132,764,908,244,334,534,575,283,860,950,428,683,048,462,960,382,681,
498,166,743,756,154,963,711,092,262,360,691,983,443,065,592,168,536,411,731,
869,606,036,453,016,270,052,387,963,082,999,306,572,464,254,160,500,214,166,
422,558,892,471,959,335,256,957,165,194,724,578,778,067,115,792,635,592,413,
500,352,377,073,992,268,664,587,016,038,056,320,841,174,050,553,564,287,440,
499,363,511,986,310,769,011,449,932,423,477,313,430,541,434,037,030,690,290,
828,881,245,996,226,185,111,199,162,377,794,891,934,171,299,920,182,661,489,
137,295,137,445,816,769,099,861,785,438,286,146,144,676,666,721,760,128,273,
720,511,226,011,674,292,582,456,387,807,801,020,215,951,747,059,867,917,040,
685,632,431,654,738,324,460,839,625,850,314,735,184,948,736,093,596,316,700,
104,382,420,734,743,297,239,894,067,700,254,709,677,507,823,140,883,591,712,
372,170,339,818,110,795,347,675,553,686,134,420,484,502,762,343,598,251,989,
796,183,625,095,575,021,065,923,315,744,414,924,378,881,536,936,826,396,941,
642,038,765,176,250,757,047,829,817,211,427,976,910,469,701,841,071,129,908,
340,501,075,644,539,253,515,254,297,625,563,273,310,802,096,402,744,904,718,
129,772,998,663,032,808,726,651,878,923,963,345,274,924,362,509,065,404,776,
715,134,771,866,105,605,259,692,124,598,632,957,500,625,518,734,928,250,809,
483,481,258,544,186,821,090,118,397,465,704,093,162,003,918,088,055,490,301,
797,230,282,157,532,312,910,050,076,261,033,420,922,341,469,770,219,293,653,
301,745,780,938,298,581,581,273,176,711,651,848,771,136,894,594,148,549,222,
607,256,958,613,382,322,401,150,986,335,797,549,869,111,743,779,941,893,178,
686,939,314,928,216,845,314,799,788,582,644,175,097,548,725,651,864,393,936,
102,049,116,700,219,685,370,022,723,244,688,209,364,733,458,990,151,567,469,
444,920,075,607,192,267,224,290,271,597,974,794,966,184,795,568,284,747,230,
055,706,141,046,857,384,852,033,531,691,659,899,269,452,365,621,379,719,801,
731,480,129,140,850,051,856,270,501,798,550,648,219,173,055,882,206,487,612,
982,979,666,466,139,847,922,473,918,004,351,279,115,508,317,316,755,408,156,
957,372,813,961,968,489,001,152,644,683,279,378,996,982,113,703,347,214,495,
471,237,405,123,346,148,675,040,332,821,697,231,506,212,291,292,744,394,312,
809,887,800,907,856,983,782,587,447,709,910,690,854,398,116,240,697,040,327,
999,346,674,626,729,649,728,415,408,237,147,873,038,278,640,639,609,218,670,
613,407,675,920,247,737,209,427,734,060,493,030,400,455,841,439,965,674,933,
330,834,347,446,322,783,759,660,115,620,206,647,378,115,135,628,374,808,415,
695,672,489,152,179,230,200,402,549,686,728,328,574,064,333,483,895,055,611,
099,801,534,932,689,954,232,775,796,533,286,668,082,697,328,348,351,693,506,
743,150,183,057,224,516,659,298,562,085,862,903,205,761,333,626,700,701,264,
009,429,586,084,695,124,146,658,968,276,996,044,685,391,046,539,145,255,490,
556,909,037,034,631,475,359,053,018,112,418,680,367,680,336,743,454,575,019,
721,850,989,384,882,509,483,421,084,827,865,764,886,999,848,725,003,095,687,
128,920,796,390,110,351,694,697,221,620,239,384,012,356,328,215,895,760,635,
642,084,014,636,552,940,422,370,349,459,250,677,409,024,409,860,137,609,430,
901,987,153,776,392,030,312,841,685,738,224,217,437,456,461,625,607,123,990,
215,418,277,113,660,760,513,805,002,530,386,023,737,319,195,004,212,156,728,
267,686,271,908,222,895,528,384,967,423,460,850,392,536,790,814,678,375,596,
457,036,539,311,134,518,584,423,757,830,017,642,131,589,894,178,483,895,252,
739,103,490,247,085,179,599,564,198,196,550,239,379,647,012,365,506,875,384,
359,188,609,162,605,903,102,177,972,653,572,877,091,277,145,370,728,454,157,
229,151,834,013,349,562,677,443,952,325,807,444,388,056,539,139,635,550,256,
647,508,543,292,383,720,518,263,462,465,159,490,170,347,722,040,913,869,451,
572,568,362,274,087,993,507,383,537,511,918,654,967,462,735,231,011,614,800,
300,470,831,930,878,016,103,792,168,283,197,297,690,057,822,158,878,495,406,
174,706,791,734,687,802,607,593,834,980,104,208,524,991,246,863,173,234,064,
543,541,413,529,749,343,756,034,568,061,531,461,402,940,545,087,813,320,339,
653,521,358,884,644,541,425,586,412,388,056,963,929,162,958,260,401,085,401,
685,302,169,379,829,678,904,312,755,613,194,083,810,519,289,108,032,638,355,
185,589,226,455,695,661,750,738,240,429,895,694,823,290,382,043,670,898,027,
090,623,341,230,251,373,835,081,401,915,050,765,239,480,013,908,354,861,728,
078,616,287,600,426,519,342,059,631,853,152,384,560,070,953,424,751,859,991,
898,882,411,435,935,677,058,989,053,255,531,169,526,715,561,422,268,484,524,
475,376,919,245,039,766,798,580,810,406,522,697,727,174,808,584,118,586,341,
824,395,644,455,126,526,823,929,557,922,676,258,815,821,847,467,555,783,536,
749,486,527,617,185,479,616,026,952,502,128,040,422,858,547,651,044,913,594,
866,262,287,868,013,972,831,969,288,175,726,545,920,691,398,955,575,921,538,
343,472,372,452,052,641,612,343,673,037,478,049,439,917,713,315,658,879,417,
289,741,992,039,409,862,579,785,173,940,366,818,277,714,859,534,717,333,346,
546,307,753,613,294,076,801,086,054,076,661,095,639,587,188,176,463,223,517,
229,135,538,667,339,912,787,947,354,302,871,749,856,186,005,794,482,977,909,
672,668,724,686,955,608,282,189,963,724,025,542,833,693,414,813,635,986,340,
144,471,758,120,834,576,869,972,016,833,089,819,689,423,295,186,439,172,273,
187,400,548,407,909,328,182,882,032,422,029,793,010,986,367,352,572,864,471,
505,033,790,614,235,151,617,586,577,450,390,885,113,600,361,454,470,980,708,
639,163,780,200,851,689,451,328,977,706,290,163,839,082,242,607,610,900,297,
686,250,499,872,913,678,890,105,176,822,379,004,122,508,303,530,172,051,969,
305,954,292,386,924,792,224,728,661,803,333,328,112,608,011,771,686,136,138,
492,991,478,300,922,455,678,623,001,289,672,533,075,985,324,919,726,930,455,
902,389,191,351,304,870,886,027,598,196,710,645,278,931,079,003,023,967,098,
646,999,687,724,260,378,407,313,570,318,936,807,772,019,395,806,104,748,535,
326,256,354,381,248,939,429,202,644,298,146,763,905,256,335,556,028,797,240,
850,600,803,820,443,426,247,244,130,336,668,219,250,655,019,726,770,261,984,
563,743,390,635,274,019,601,044,204,060,817,703,973,891,321,632,680,383,389,
933,135,893,427,949,852,330,360,950,822,954,980,530,727,001,293,532,372,280,
830,042,856,765,647,535,443,239,948,634,351,982,040,858,585,882,453,546,910,
088,103,930,995,892,384,466,523,839,668,438,562,937,511,898,711,941,725,330,
135,150,972,729,902,020,202,732,339,851,409,163,964,364,287,375,947,573,422,
616,811,528,196,482,920,163,039,343,132,236,304,661,705,874,712,870,793,160,
863,289,552,807,652,157,405,620,821,116,806,503,472,096,050,847,078,307,306,
421,262,051,890,941,256,148,171,833,794,743,152,783,776,281,215,342,917,505,
705,828,827,076,004,389,652,581,195,379,567,807,124,130,857,676,112,654,969,
371,857,218,215,345,904,411,092,417,825,114,329,132,331,186,745,832,297,364,
634,554,724,725,215,612,343,149,916,730,137,242,719,402,976,040,304,449,637,
559,559,447,171,410,419,197,626,154,861,956,735,189,914,689,460,207,816,756,
902,165,488,222,800,492,760,661,369,142,290,294,602,844,692,285,673,978,112,
365,030,294,165,197,987,450,773,766,172,508,761,356,365,249,938,308,316,120,
982,651,473,471,581,410,869,367,583,325,170,196,572,030,495,868,571,034,427,
643,569,746,797,678,079,565,910,388,844,540,644,360,724,774,428,131,736,973,
034,164,347,062,935,250,516,793,248,473,039,083,118,472,697,894,457,449,838,
984,999,394,446,476,491,450,106,851,521,567,826,171,990,697,046,717,754,255,
115,539,090,849,099,035,256,444,395,997,636,835,566,565,774,807,649,109,684,
424,559,642,868,356,485,092,574,498,625,964,946,001,392,429,717,178,818,444,
271,295,028,598,757,355,057,556,865,586,376,497,358,836,363,175,385,396,398,
348,187,473,986,899,190,792,721,677,287,417,530,091,402,625,123,482,218,262,
113,906,131,001,287,103,388,736,142,754,866,205,592,826,740,877,820,477,048,
442,411,865,417,474,345,715,418,423,271,429,044,110,090,575,687,999,244,768,
942,045,069,801,322,799,833,254,190,732,656,183,893,616,406,803,607,496,932,
024,833,158,431,031,341,683,809,789,940,602,508,005,782,386,681,527,917,978,
520,269,455,880,322,090,374,244,937,607,153,944,746,199,454,207,446,405,782,
579,222,647,025,796,905,235,423,262,773,494,811,849,248,275,703,167,662,733,
815,591,194,359,165,175,878,006,721,978,490,608,993,862,097,133,922,211,715,
208,237,134,906,220,267,487,875,274,949,040,646,808,462,249,047,840,910,994,
895,600,663,682,880,006,575,797,143,012,230,737,580,380,201,536,582,416,386,
983,758,176,312,248,109,116,539,027,078,676,341,435,562,885,003,982,361,117,
985,714,779,682,941,718,138,547,252,015,639,782,883,389,160,232,745,348,171,
574,883,018,886,102,106,196,814,734,268,754,967,680,659,294,387,873,456,066,
380,010,619,350,851,641,314,421,722,827,502,705,669,753,134,627,611,411,386,
842,378,014,715,901,673,023,668,424,969,568,965,176,574,547,059,312,744,373,
603,810,602,399,261,563,880,312,396,861,325,140,163,408,858,000,918,700,271,
696,727,354,696,837,461,871,158,163,717,179,213,571,434,885,593,502,207,779,
846,046,532,368,231,736,450,751,854,752,798,585,294,529,285,752,925,906,442,
699,379,652,421,229,086,599,679,438,891,952,942,268,716,539,862,615,376,922,
341,148,766,446,702,557,850,435,361,393,849,847,065,086,465,750,455,102,397,
350,157,063,708,507,079,987,968,279,013,937,844,378,385,639,145,477,945,356,
345,077,615,741,539,551,332,331,395,399,069,750,116,604,848,412,611,053,660,
950,031,199,274,792,716,836,549,220,428,636,151,731,511,064,984,836,511,794,
208,629,938,517,860,629,135,268,562,899,021,922,545,634,820,715,712,441,724,
283,821,197,190,727,086,653,266,246,327,817,145,674,869,852,383,014,685,188,
509,492,151,650,953,904,841,275,650,676,367,837,779,634,396,197,088,821,314,
308,123,911,863,994,625,250,311,715,670,961,550,558,758,739,977,300,335,584,
577,629,139,668,096,055,302,535,747,004,890,937,681,583,036,146,020,232,045,
280,452,335,404,245,456,579,538,855,340,651,795,585,678,563,523,599,802,506,
963,209,694,000,258,643,988,762,438,615,915,557,974,142,839,792,451,962,654,
115,261,958,007,246,912,189,239,136,208,083,367,034,750,192,730,067,427,854,
882,300,647,822,094,313,787,319,180,576,024,858,817,964,307,798,916,344,176,
191,457,079,204,627,385,083,951,208,325,083,023,605,025,602,462,310,553,884,
768,549,187,729,956,423,939,898,304,037,810,699,357,079,932,289,147,406,784,
218,044,630,837,791,955,057,666,464,145,171,321,109,319,910,961,726,029,139,
434,488,553,257,380,336,719,559,435,931,787,760,359,777,733,286,303,951,425,
939,020,125,972,249,480,536,730,815,733,229,399,413,382,294,938,709,583,393,
482,922,656,124,329,946,386,429,735,664,963,548,275,065,571,061,835,206,987,
743,892,801,031,060,396,301,895,662,313,084,471,132,947,026,074,263,251,541,
496,518,017,453,288,679,376,368,289,663,310,985,045,297,591,378,413,403,100,
494,626,232,918,845,499,762,348,137,568,022,933,653,247,409,212,570,932,599,
195,966,937,440,163,416,913,079,848,243,240,713,605,366,251,165,348,958,139,
339,021,973,523,554,509,897,491,437,398,230,910,675,848,635,900,070,500,250,
654,801,545,571,671,320,878,423,251,289,781,973,614,899,765,515,785,890,273,
552,684,448,393,041,309,951,854,518,704,741,433,396,302,235,858,085,575,135,
698,479,861,821,006,514,521,462,655,765,875,731,763,061,786,514,383,183,836,
626,613,999,930,991,151,191,126,091,483,868,021,038,180,809,230,054,519,871,
582,159,686,979,820,129,207,517,444,142,019,437,664,391,231,242,038,647,193,
137,872,254,002,855,015,419,780,030,736,949,936,707,066,335,713,532,452,292,
751,228,859,217,309,692,883,422,311,746,966,717,383,450,031,859,949,877,020,
622,707,822,828,153,077,972,851,577,414,980,380,488,458,417,782,338,029,267,
184,173,447,170,578,802,314,474,640,327,210,036,198,473,288,124,895,563,675,
453,977,987,329,840,092,071,928,098,783,142,324,189,041,138,927,794,980,096,
517,259,459,333,143,256,830,429,937,984,446,293,203,445,911,519,850,779,956,
479,125,492,639,073,731,185,881,110,654,823,716,479,543,879,752,117,028,121,
724,789,423,687,293,535,541,565,127,786,963,520,996,762,810,596,154,800,208,
283,905,738,373,782,521,991,754,878,932,784,724,988,238,459,179,004,592,487,
146,689,827,215,521,515,467,710,862,663,501,162,141,677,803,242,628,193,186,
665,393,912,764,084,950,962,327,169,049,895,043,454,420,918,790,722,093,616,
069,896,664,468,543,034,706,137,374,701,213,077,680,988,882,201,973,028,267,
629,802,328,466,054,941,852,265,842,355,842,693,251,281,540,321,569,142,082,
099,668,492,573,199,132,298,507,326,291,259,767,558,426,132,952,016,735,976,
571,409,501,084,385,603,742,351,245,199,463,607,032,060,471,722,738,481,264,
677,066,594,304,578,427,031,169,305,589,678,315,872,662,917,895,342,037,553,
844,020,345,574,116,494,256,507,521,954,954,985,712,564,566,131,912,504,510,
962,616,276,329,020,588,145,202,808,703,022,686,189,613,474,584,559,572,566,
449,772,077,988,993,868,840,099,736,899,959,351,849,881,249,828,839,583,962,
789,153,375,506,386,947,198,279,295,606,338,422,766,146,236,170,665,326,498,
958,909,329,807,718,661,543,803,290,679,123,300,430,335,121,723,998,720,753,
347,799,204,210,709,335,905,830,747,361,302,167,278,336,655,944,868,435,147,
695,141,945,872,541,794,472,886,789,642,660,887,748,960,303,254,713,291,113,
214,630,278,504,293,596,084,166,047,518,938,947,405,518,349,629,503,139,635,
779,662,858,530,856,128,209,712,311,890,364,004,795,937,273,189,951,999,696,
271,647,478,180,515,994,439,370,994,970,988,831,681,434,041,704,947,219,965,
526,130,168,085,888,734,397,951,062,236,276,689,755,481,353,250,940,869,474,
655,385,081,016,880,132,847,180,255,421,451,870,038,661,000,152,951,478,338,
772,476,683,232,873,140,250,832,906,113,753,983,870,648,871,981,424,080,941,
491,097,926,116,025,161,541,952,005,892,878,436,630,470,170,999,221,206,918,
925,384,707,740,879,328,496,502,603,881,537,958,337,945,255,192,291,463,888,
835,461,614,192,459,250,642,324,649,588,392,481,682,151,708,572,174,753,631,
127,545,674,419,622,139,258,744,539,375,120,935,227,852,381,372,069,087,721,
327,491,192,034,415,255,651,228,886,524,852,512,621,663,755,964,048,539,251,
941,852,903,516,419,628,399,161,392,880,261,391,105,250,981,601,007,433,607,
212,366,989,134,554,537,567,935,649,616,457,709,896,031,410,088,003,051,294,
996,050,400,687,474,171,958,773,042,058,853,605,979,385,568,521,837,662,908,
997,154,070,083,268,466,221,196,716,400,752,691,642,290,187,163,303,996,777,
174,098,559,132,250,205,819,063,352,261,244,662,363,504,873,764,886,883,777,
567,442,341,227,360,791,435,766,587,976,567,449,124,504,254,166,508,210,314,
008,181,078,297,231,657,947,548,625,548,021,405,940,636,564,569,754,548,603,
197,424,580,802,922,940,680,686,196,861,518,967,461,370,465,128,577,487,544,
057,474,173,806,478,775,084,873,315,311,202,052,920,761,104,339,536,831,886,
971,541,627,434,470,238,084,306,376,881,621,263,025,941,830,321,513,840,334,
430,050,335,414,513,201,404,782,322,131,033,683,645,349,991,228,896,062,786,
614,059,714,703,308,891,884,146,937,579,559,581,165,627,613,257,795,647,005,
171,627,518,182,945,634,573,424,509,416,728,510,669,436,649,968,517,204,369,
618,793,243,117,075,802,070,982,839,680,721,456,817,309,250,446,054,454,475,
548,209,282,935,796,337,233,781,618,933,775,985,715,308,932,241,021,436,632,
890,223,528,061,838,068,464,579,295,195,565,626,647,383,533,067,693,826,317,
832,705,343,157,118,576,765,372,997,018,652,898,176,449,344,918,363,024,306,
748,658,799,834,727,224,863,094,524,745,688,499,161,225,591,253,490,253,567,
664,151,417,590,151,905,881,616,244,636,123,070,749,654,169,561,746,485,421,
439,860,827,808,778,701,231,188,348,670,793,494,743,264,876,724,062,933,467,
235,243,995,402,666,315,730,167,453,095,338,994,065,473,559,943,976,124,483,
389,078,062,100,223,651,772,427,199,862,113,668,585,171,347,549,495,730,199,
305,401,979,253,866,765,455,401,122,782,907,105,692,381,623,912,420,539,073,
748,619,476,965,079,133,680,881,022,326,966,055,533,866,009,750,222,770,668,
104,774,668,865,959,307,358,136,761,018,665,917,617,241,343,239,044,839,949,
803,567,408,390,279,983,908,255,528,399,249,211,830,155,540,910,359,076,194,
359,196,071,068,305,562,812,663,518,496,147,904,669,410,905,071,269,762,332,
124,331,336,952,457,714,862,613,675,829,527,604,463,645,601,483,688,499,193,
299,047,341,448,269,299,326,746,928,352,456,890,422,906,677,772,607,691,992,
513,914,947,362,335,274,411,165,423,469,204,157,138,844,492,394,132,282,834,
109,972,947,592,145,233,855,067,203,517,023,835,617,859,144,179,010,000,601,
575,985,671,078,843,212,275,448,464,337,164,482,500,327,956,650,476,443,715,
491,554,456,625,819,011,081,419,453,436,718,438,808,824,357,115,711,268,227,
931,428,935,824,983,848,151,778,146,626,807,564,249,741,560,235,108,234,210,
141,891,255,411,457,603,197,497,846,754,090,820,173,980,649,536,279,210,560,
426,740,620,988,429,482,736,567,535,163,663,955,751,188,572,749,068,882,544,
970,174,556,964,607,010,699,040,236,757,954,299,147,419,212,001,563,137,346,
529,578,974,049,153,149,516,426,822,071,093,316,004,385,942,505,995,897,319,
815,239,764,474,358,167,604,188,455,708,875,121,672,231,936,756,805,701,880,
375,588,548,538,373,351,124,882,592,168,426,547,941,326,347,019,151,307,087,
384,012,832,034,562,509,835,237,043,086,739,170,970,459,082,150,660,726,929,
472,546,863,124,586,576,988,927,317,533,575,306,504,180,130,180,684,465,975,
357,272,532,634,165,912,683,393,466,167,819,453,047,264,902,814,831,429,467,
881,741,135,570,048,647,460,225,755,616,486,538,238,014,758,261,729,949,995,
526,219,032,994,317,527,137,592,086,352,922,996,814,454,992,485,815,059,822,
904,245,881,208,487,378,966,949,095,266,053,577,133,514,569,676,057,586,365,
833,777,710,699,462,595,769,886,436,978,700,560,008,830,458,273,643,398,798,
992,965,557,332,665,231,296,101,352,381,927,592,259,995,956,671,696,514,755,
547,301,358,013,416,817,331,531,942,863,967,298,722,365,751,700,187,755,778,
525,620,084,055,480,229,263,178,025,525,781,428,115,832,212,581,916,502,081,
169,260,582,000,680,310,097,822,177,876,333,287,455,713,803,796,102,442,553,
133,642,422,390,741,497,158,781,121,235,406,587,902,956,224,159,575,253,642,
499,522,307,992,874,229,338,679,624,832,942,131,870,764,468,521,554,612,937,
558,522,803,865,828,347,289,233,086,094,242,269,377,339,467,705,820,190,779,
085,905,178,826,805,855,168,381,974,036,446,350,464,129,560,272,946,118,559,
695,414,089,912,717,849,087,640,524,778,281,821,812,573,616,645,410,043,174,
195,272,954,096,571,984,600,035,834,884,462,855,186,979,175,578,588,710,968,
099,046,661,088,162,761,724,934,167,427,735,597,544,612,136,224,959,427,500,
425,571,102,788,758,602,166,182,695,909,411,341,612,789,726,645,127,584,078,
245,489,557,133,138,623,711,832,207,210,293,593,966,141,891,458,383,993,102,
007,324,680,534,300,765,366,151,141,577,261,163,695,000,392,053,968,965,719,
773,425,687,743,186,214,174,505,864,026,531,039,013,475,476,392,065,521,134,
472,451,885,060,594,322,606,814,002,493,644,753,999,705,449,520,221,285,332,
640,400,149,860,726,557,336,999,446,849,179,691,593,914,474,946,935,550,523,
514,962,709,078,838,305,365,867,155,778,808,257,192,800,628,369,453,023,802,
652,665,161,087,646,572,478,336,382,827,860,791,028,950,216,200,177,230,714,
226,707,691,966,364,089,223,587,957,167,190,227,829,142,123,701,673,588,819,
509,252,686,725,764,077,944,857,698,928,178,832,021,177,536,722,675,895,738,
377,075,089,099,722,743,327,670,109,776,860,584,283,173,639,231,736,643,832,
339,223,851,220,587,335,854,626,775,247,875,089,287,809,678,219,873,983,175,
647,055,296,846,548,647,678,687,814,502,162,205,527,333,397,730,819,019,008,
033,137,591,031,649,646,241,666,059,348,692,467,597,798,372,057,257,327,371,
428,335,766,540,171,088,209,984,199,562,937,207,311,033,092,449,999,107,551,
794,345,242,355,925,432,402,056,452,037,837,022,929,096,490,188,863,034,958,
240,654,147,490,184,650,455,049,978,219,641,695,016,558,662,376,997,845,842,
562,838,545,797,472,533,385,169,632,166,189,299,460,891,904,876,130,192,651,
111,401,940,619,255,947,606,431,870,426,903,489,257,690,601,819,205,903,086,
330,659,168,021,544,125,085,893,551,497,770,918,096,443,548,271,968,767,225,
224,830,664,660,062,848,948,952,860,310,463,706,219,113,083,817,592,425,995,
824,317,554,619,893,982,995,916,537,863,507,000,523,753,873,360,776,873,076,
764,206,109,488,921,425,986,259,769,456,555,961,786,905,222,968,791,320,851,
148,535,245,085,504,631,553,324,919,581,060,430,591,826,208,331,470,519,854,
766,945,621,334,494,905,619,304,469,329,395,775,322,178,447,303,629,176,410,
448,243,790,555,528,352,283,836,644,312,217,813,056,653,402,610,090,476,506,
086,532,353,087,695,468,718,248,284,104,837,444,247,266,669,866,739,530,509,
486,285,963,839,946,300,840,251,652,208,174,310,002,877,540,963,752,993,591,
201,743,758,638,941,068,228,824,555,002,303,632,606,902,475,002,758,624,239,
510,343,004,146,935,605,975,733,863,422,439,886,776,741,670,428,677,126,363,
950,336,468,415,999,057,445,601,788,478,592,942,660,684,152,146,126,481,942,
783,269,236,213,882,894,039,591,154,304,713,802,351,673,753,593,686,724,475,
552,278,464,256,804,699,581,237,803,985,496,257,829,814,976,406,255,982,873,
688,103,891,590,363,357,846,506,819,710,210,220,901,268,214,223,252,320,847,
057,665,491,903,125,336,312,869,637,288,865,862,382,746,120,533,721,118,754,
893,639,736,838,947,879,033,944,935,043,235,344,384,851,796,412,114,064,317,
906,482,165,537,851,523,777,842,002,744,530,166,963,653,070,391,819,255,527,
287,586,947,597,548,685,899,195,392,044,840,225,138,665,351,407,901,166,308,
509,161,085,322,721,094,362,225,930,096,613,575,219,925,364,984,125,538,706,
871,299,279,454,680,451,255,307,116,674,926,247,427,289,292,391,125,388,008,
819,728,607,055,746,691,894,952,721,689,210,670,265,789,415,989,531,841,897,
192,687,902,336,030,905,787,750,304,203,345,158,241,580,757,026,429,603,528,
347,827,305,690,880,737,629,653,407,262,403,062,517,699,097,762,156,683,859,
159,139,569,716,463,138,202,485,491,271,849,916,731,934,054,751,383,287,351,
322,109,594,011,418,495,926,192,080,614,011,766,231,903,690,035,226,246,013,
594,641,288,809,971,252,487,892,348,201,161,921,696,297,186,243,939,167,573,
579,027,944,592,201,389,073,718,890,831,063,971,638,851,065,590,526,233,807,
440,671,034,375,608,099,077,366,603,609,684,996,065,257,617,198,279,611,780,
263,134,106,394,369,697,219,259,820,866,518,758,473,914,560,882,347,551,940,
841,754,537,741,518,841,045,576,818,985,923,292,558,696,132,674,082,573,388,
781,370,163,408,272,714,192,964,603,975,848,093,217,607,881,252,946,156,211,
148,628,139,186,903,564,098,995,763,345,770,865,739,465,070,059,304,083,000,
762,265,258,950,925,192,476,950,267,451,566,268,150,624,387,450,621,937,411,
245,857,164,560,997,449,355,388,378,367,268,475,572,321,194,982,245,457,078,
933,375,074,383,866,095,932,673,115,358,622,271,595,443,014,656,608,054,194,
692,637,448,672,044,252,194,289,483,891,752,298,894,824,916,964,602,813,637,
749,658,509,474,610,626,850,706,221,105,916,520,158,797,783,468,543,255,709,
356,093,101,975,356,375,637,687,453,750,643,743,064,763,897,057,059,901,204,
186,587,850,644,479,430,647,466,502,918,997,968,780,729,479,954,389,290,034,
681,735,622,300,857,550,001,802,366,691,446,493,444,761,488,565,947,792,083,
920,839,992,661,007,650,222,517,298,991,629,378,064,142,987,920,067,265,494,
817,987,897,944,810,515,394,755,181,503,570,565,494,426,372,257,781,018,932,
058,314,620,492,375,328,036,580,299,292,729,661,398,227,859,440,707,907,558,
514,903,118,047,882,562,635,779,132,995,835,020,384,065,382,229,144,214,171,
102,404,443,796,143,604,341,176,287,264,237,336,675,256,804,496,920,252,489,
355,615,721,825,311,730,239,916,512,387,779,360,167,044,790,154,286,781,257,
984,482,219,666,482,587,492,626,388,794,037,415,133,276,417,869,756,077,623,
988,592,357,173,170,927,469,124,721,175,972,359,068,156,131,271,948,526,850,
203,319,415,146,690,443,996,639,806,412,245,305,231,183,188,600,889,147,612,
711,560,842,629,204,064,352,434,785,868,324,635,950,633,219,334,947,743,739,
774,530,431,668,472,931,203,918,064,288,651,294,193,880,578,986,274,169,099,
763,596,976,176,661,421,217,089,016,747,253,097,829,027,082,798,902,047,689,
100,682,942,837,034,159,596,842,884,937,726,582,834,248,414,108,599,826,716,
575,458,865,558,026,380,845,868,125,305,514,551,831,642,211,700,027,414,004,
898,188,332,754,201,889,478,997,426,031,946,351,828,795,594,592,423,183,360,
872,069,005,080,937,583,286,644,772,999,658,306,690,301,385,098,212,745,573,
311,751,279,429,853,715,275,108,665,622,867,639,146,181,867,715,683,056,046,
584,026,300,808,083,005,530,710,710,542,631,527,280,319,763,869,886,945,844,
158,395,059,181,446,647,917,982,942,273,623,811,953,462,867,962,512,047,109,
357,614,653,482,347,843,975,338,349,106,800,667,123,362,306,431,190,881,808,
775,580,104,056,512,718,063,103,064,684,621,381,573,715,897,056,584,562,494,
793,216,893,327,567,070,285,262,059,584,366,233,022,387,799,559,848,947,421,
779,084,713,247,332,297,766,586,878,876,707,859,058,187,157,936,162,141,843,
028,367,484,249,109,487,557,530,051,508,320,394,064,859,183,603,993,719,293,
665,157,557,009,696,865,023,208,404,694,020,031,540,828,255,053,669,770,944,
837,630,279,649,744,055,750,552,453,486,445,088,501,023,207,622,847,672,224,
050,835,810,428,636,553,407,106,241,781,800,857,835,525,374,403,064,545,743,
382,894,280,662,628,364,494,454,475,240,508,937,148,800,546,699,977,921,798,
721,609,557,729,550,586,578,576,268,333,482,401,490,923,822,758,641,545,978,
742,210,349,164,724,365,918,932,309,904,629,861,397,026,507,028,699,057,083,
035,884,350,063,754,617,732,410,177,117,661,958,361,374,550,267,118,781,012,
357,041,316,120,341,830,333,701,098,902,584,594,166,776,805,558,757,759,695,
832,112,870,114,653,915,652,188,685,232,469,390,944,899,900,130,760,388,212,
769,363,438,160,171,011,274,590,261,258,964,916,072,023,818,257,291,950,753,
064,315,359,827,428,023,661,011,899,793,604,252,175,473,028,189,249,335,368,
890,114,924,971,364,601,038,952,372,233,277,436,072,030,564,974,185,764,915,
877,409,159,231,166,122,886,067,856,815,176,473,460,626,976,938,143,788,867,
609,090,833,628,644,907,070,102,768,983,474,353,570,727,413,526,329,555,697,
302,381,253,661,974,645,284,661,398,914,969,865,037,792,016,437,538,533,315,
203,642,181,324,352,077,209,811,456,374,755,475,439,640,686,118,758,474,115,
774,387,407,716,210,887,636,427,246,579,181,078,982,006,935,090,650,247,182,
979,838,545,850,981,197,397,161,107,429,464,176,391,972,858,276,013,773,034,
403,456,681,130,627,498,314,689,980,913,433,755,336,592,116,803,299,069,875,
286,718,964,873,755,612,316,937,935,018,109,688,212,725,455,461,074,459,198,
872,423,679,150,284,162,763,274,259,393,990,475,276,377,059,039,855,737,043,
623,988,280,464,413,532,785,050,886,106,779,248,790,083,526,352,527,200,221,
540,783,133,074,156,100,340,441,211,374,710,170,870,510,635,800,745,399,752,
984,822,139,950,282,349,238,662,456,024,911,778,183,733,779,623,780,101,741,
429,758,384,750,869,225,683,488,300,666,589,596,267,968,251,086,584,481,829,
473,420,056,125,199,318,463,977,119,889,787,611,935,534,813,683,122,255,026,
862,840,398,051,611,229,333,521,166,082,523,300,116,980,917,977,794,407,180,
954,347,333,003,469,821,173,119,940,708,395,441,154,335,537,727,679,890,462,
380,695,723,116,483,967,733,096,229,385,966,520,772,118,036,876,261,551,456,
778,260,341,306,683,993,092,665,345,239,408,936,619,450,274,647,660,716,679,
812,873,375,876,650,500,030,843,112,463,520,746,797,914,912,677,249,615,607,
884,998,120,933,357,969,463,485,947,634,618,048,126,818,150,261,345,376,130,
385,875,935,241,015,256,875,024,163,142,549,158,599,156,232,025,910,563,527,
122,669,341,701,034,763,900,137,780,051,182,773,798,965,985,294,756,008,137,
851,412,436,756,997,895,855,005,168,970,634,518,008,869,830,961,225,558,358,
308,080,413,030,318,781,855,104,114,452,318,417,481,869,373,643,254,865,054,
757,031,366,770,069,291,124,277,942,766,849,636,238,054,113,741,644,767,784,
838,708,254,780,195,497,138,651,920,812,111,889,873,731,701,718,594,070,377,
292,343,523,799,386,338,682,510,198,880,439,106,526,173,755,843,759,691,676,
890,969,623,946,596,222,789,755,256,288,734,004,819,799,829,359,328,089,343,
605,345,411,008,265,728,478,042,292,606,426,649,308,555,456,874,186,130,094,
967,202,760,221,565,711,894,258,767,136,930,774,656,805,338,033,098,089,547,
904,354,655,454,305,854,962,994,206,585,860,840,353,386,389,424,295,546,928,
082,325,011,237,027,375,311,684,816,911,119,625,172,655,201,994,101,587,125,
611,807,132,222,096,602,844,555,604,749,770,813,889,343,993,225,841,238,551,
456,778,623,995,468,968,337,493,209,485,198,828,010,170,328,648,685,739,328,
649,191,564,291,361,929,113,469,029,377,300,092,079,841,866,667,753,891,253,
655,733,993,783,735,638,704,140,081,596,644,238,995,186,359,795,091,873,012,
295,331,854,903,670,712,505,252,171,880,180,008,108,313,566,430,422,553,737,
499,521,798,000,864,199,579,621,327,881,710,987,354,634,870,817,229,520,253,
293,457,257,487,596,495,112,950,609,111,544,195,268,912,594,880,679,982,184,
193,366,860,780,806,546,247,415,981,410,618,493,729,296,745,398,279,505,495,
542,947,732,918,162,910,453,703,812,755,962,638,616,179,602,757,848,273,477,
990,294,146,587,551,549,899,728,744,016,258,219,172,167,171,210,553,397,828,
985,272,042,049,970,983,369,795,969,990,267,419,920,728,788,642,383,195,905,
363,854,234,489,796,553,038,460,297,788,350,371,875,857,893,264,460,082,725,
247,849,758,509,628,804,105,539,626,967,229,173,984,464,613,921,167,882,986,
837,627,090,371,249,299,693,139,334,207,733,946,371,072,339,723,548,184,083,
093,543,898,647,275,728,672,512,382,903,098,234,777,781,784,321,211,207,345,
881,828,244,803,062,574,516,069,349,019,652,135,267,244,804,219,801,171,012,
120,860,691,581,671,189,960,987,912,780,400,644,212,863,578,794,919,219,683,
192,169,372,923,264,032,083,012,163,528,110,317,605,852,461,298,809,303,074,
785,712,035,428,531,767,222,438,263,342,463,723,665,995,994,824,715,767,753,
015,187,224,459,766,500,561,737,318,273,196,065,804,205,301,786,777,198,847,
033,773,039,064,481,531,057,835,658,769,345,716,254,207,794,558,035,647,170,
754,640,346,321,844,671,559,575,827,098,649,522,761,455,315,620,698,343,055,
742,088,052,584,959,530,081,133,552,340,072,288,657,560,769,239,197,771,919,
817,460,442,380,717,532,920,029,546,295,308,903,694,375,347,754,523,709,661,
736,195,626,517,761,544,528,158,268,515,282,229,362,760,498,066,063,887,083,
581,262,723,270,155,074,703,319,977,075,715,635,235,710,027,219,565,638,900,
207,128,678,425,158,889,500,931,423,763,433,109,110,190,041,711,698,581,320,
605,556,007,076,353,479,653,125,369,446,608,923,969,131,777,835,632,718,934,
058,840,846,136,338,145,818,188,873,767,532,416,406,048,240,606,570,483,598,
502,890,358,192,503,827,485,279,123,507,824,130,376,789,679,853,409,377,550,
049,327,235,963,883,449,969,326,659,843,086,759,309,138,889,112,965,258,497,
313,584,191,442,902,915,088,013,983,115,790,582,808,855,696,380,133,945,371,
790,813,341,389,398,799,557,689,820,325,291,329,405,473,367,186,799,569,962,
323,911,745,953,251,175,662,994,437,695,802,036,436,287,434,763,472,706,429,
650,181,773,373,687,172,615,095,083,267,393,218,476,699,825,899,286,247,251,
979,861,056,068,644,850,032,647,188,848,647,021,625,928,691,790,431,116,990,
252,543,537,278,266,422,546,971,067,692,293,517,909,923,095,960,581,929,719,
700,472,702,988,247,697,906,006,389,877,615,993,793,476,846,601,352,621,739,
633,912,845,758,056,641,670,601,641,749,451,181,542,812,677,773,526,790,726,
739,067,250,604,811,288,804,939,500,197,859,064,993,704,153,202,744,609,239,
668,554,199,362,206,636,553,596,954,418,687,076,809,257,097,193,493,112,244,
564,953,954,142,523,049,412,553,938,932,882,085,530,524,257,595,378,112,422,
057,371,711,587,935,548,250,339,144,029,245,692,099,532,797,503,576,653,113,
682,875,289,722,810,208,618,513,903,344,149,847,755,185,687,829,765,598,331,
231,485,056,985,105,752,269,783,492,732,836,962,483,632,281,616,910,885,441,
068,241,992,849,118,792,317,132,439,628,651,109,350,655,772,810,801,903,862,
959,333,158,553,741,909,043,029,143,070,011,125,880,625,184,115,985,118,260,
660,984,791,587,664,017,082,551,034,808,214,549,109,056,022,290,509,340,135,
332,127,725,739,061,099,896,712,354,355,826,510,584,874,183,333,754,578,512,
302,123,214,799,629,336,734,826,428,405,445,445,023,230,934,334,564,106,755,
820,821,276,865,988,180,080,486,163,996,606,209,919,954,101,752,367,039,109,
828,425,549,088,142,058,382,623,510,362,399,194,093,062,189,408,007,957,678,
156,040,704,930,244,715,767,518,012,661,620,151,637,195,326,772,164,862,396,
705,188,586,021,460,310,195,229,524,246,982,999,991,003,542,669,260,921,156,
198,303,719,194,363,191,099,768,209,960,949,933,817,619,676,189,545,113,084,
772,515,980,048,155,082,209,889,288,915,786,572,487,086,538,415,445,548,112,
124,024,590,562,273,936,908,643,985,439,378,258,092,383,001,102,885,391,320,
181,005,828,921,745,386,421,310,989,925,199,338,239,090,414,212,475,154,460,
989,086,744,590,947,176,084,150,598,711,449,680,778,574,322,606,044,896,671,
148,297,354,253,531,497,685,063,344,664,920,800,483,814,049,298,168,564,066,
094,181,022,073,852,383,472,099,400,600,948,734,509,419,836,809,540,048,434,
090,503,560,362,024,263,170,283,443,687,485,576,746,326,192,218,890,591,288,
403,541,686,293,670,113,208,336,031,839,495,947,955,567,442,392,884,790,051,
418,220,919,255,293,163,998,700,183,944,828,639,670,119,566,802,027,632,081,
771,045,342,373,716,398,156,427,696,906,960,592,457,077,066,277,854,183,761,
415,678,381,851,632,384,519,040,229,718,194,241,947,512,654,592,374,498,744,
643,648,232,552,726,407,458,125,523,926,421,399,454,485,222,778,613,855,169,
337,689,990,395,306,542,540,433,254,207,771,504,599,447,963,449,970,303,561,
809,780,667,312,433,881,730,537,616,690,426,783,639,124,878,557,006,211,124,
818,411,396,614,153,814,381,272,063,896,525,749,824,505,768,127,808,185,696,
353,360,628,202,929,866,528,506,113,177,775,883,074,356,151,199,676,443,964,
984,380,649,757,280,685,723,148,936,799,522,915,674,241,861,944,011,318,026,
225,786,456,883,560,915,260,612,940,762,224,011,472,875,812,757,222,643,246,
668,285,536,083,095,732,939,914,577,258,631,979,008,578,125,267,069,517,734,
913,056,990,607,600,602,408,554,367,611,551,893,819,020,454,807,651,506,429,
923,303,033,353,454,561,569,644,921,667,111,172,722,144,381,739,149,855,042,
992,676,246,311,024,095,912,299,302,671,124,496,807,453,454,545,358,383,392,
729,859,396,902,426,963,713,916,903,099,472,491,696,435,849,065,318,582,958,
840,286,408,709,312,979,484,798,687,544,576,910,010,178,672,325,685,434,863,
236,855,774,015,374,997,190,680,867,545,961,286,091,075,472,631,882,959,664,
251,423,577,662,913,927,062,521,422,566,069,908,283,258,786,020,368,454,858,
452,609,615,084,579,751,629,891,366,206,624,487,368,280,058,315,541,535,209,
966,321,985,005,735,662,762,627,769,700,996,245,339,174,671,876,871,700,175,
012,134,204,184,709,366,414,475,298,040,312,630,426,133,014,694,725,200,290,
840,025,391,982,850,564,826,930,526,600,766,260,121,566,711,160,688,755,533,
019,690,026,262,623,688,826,098,678,005,541,817,611,633,387,600,578,721,727,
661,878,952,058,826,021,453,486,821,320,587,895,449,664,680,262,185,797,043,
634,121,885,618,125,893,057,877,717,582,853,399,563,828,965,319,742,881,224,
102,329,132,862,556,995,581,218,682,341,654,316,371,623,168,144,082,501,650,
971,687,382,961,933,148,151,228,512,344,106,730,337,813,479,446,800,154,261,
153,565,297,898,043,765,293,938,361,718,714,813,464,938,643,503,990,631,093,
333,209,231,146,068,460,414,999,699,670,198,428,346,085,156,981,526,148,480,
230,864,720,326,977,855,114,568,784,618,446,627,816,788,935,937,883,769,881,
451,497,193,078,921,730,999,979,779,211,237,793,666,690,459,927,408,797,699,
053,129,740,409,472,609,559,628,028,664,353,431,737,226,655,711,182,688,363,
850,613,444,351,060,132,342,812,101,642,259,024,137,975,031,501,632,438,736,
265,143,825,928,387,419,027,385,260,073,651,604,799,319,600,695,888,613,090,
861,791,591,176,570,574,319,099,982,142,317,476,275,485,839,251,201,119,259,
723,115,821,612,232,857,457,363,498,363,721,464,971,518,349,584,866,848,347,
358,279,994,784,169,650,020,685,729,310,114,754,334,825,344,989,713,387,337,
737,265,938,187,119,611,512,762,285,353,697,790,730,794,858,963,284,249,408,
254,960,618,304,787,480,462,348,929,974,236,504,090,534,465,248,580,101,227,
967,239,311,069,043,595,447,460,804,263,085,507,345,836,193,150,836,803,670,
410,844,767,217,253,145,684,007,782,302,644,735,443,429,289,837,399,245,052,
962,459,800,719,847,724,575,807,278,199,738,589,529,297,631,532,810,987,223,
075,253,789,289,693,842,792,232,622,229,541,036,171,962,421,503,803,245,574,
552,478,934,150,908,679,722,848,784,543,836,209,620,017,013,733,876,422,924,
560,108,522,766,804,545,506,065,423,345,844,442,842,932,707,088,346,880,366,
148,099,334,991,933,798,119,411,597,924,396,384,907,882,779,731,896,696,399,
389,621,536,803,027,738,524,669,435,342,642,935,607,799,290,920,587,618,869,
445,745,106,326,390,058,188,710,240,289,895,192,079,945,521,275,665,351,585,
979,908,750,879,141,276,183,348,363,595,751,087,403,928,969,125,577,254,660,
535,504,661,652,767,211,312,856,020,882,843,586,651,549,386,692,856,079,375,
636,689,834,099,532,689,711,241,684,280,480,569,807,391,779,678,661,942,491,
657,322,815,609,754,024,982,428,686,477,974,124,487,971,028,949,209,986,118,
936,443,023,125,300,277,317,109,121,892,528,310,405,514,343,895,823,982,752,
998,533,293,774,557,992,242,528,924,719,591,143,251,053,192,113,380,632,240,
748,741,370,953,843,785,634,217,518,799,584,481,064,871,699,523,176,416,926,
882,801,818,647,756,206,231,005,880,556,085,040,603,518,002,906,239,330,921,
721,490,691,506,023,534,747,583,308,003,454,540,545,133,931,070,029,350,640,
056,676,977,588,729,722,661,883,107,662,244,376,237,353,835,973,896,214,563,
758,304,542,750,748,781,261,070,646,329,455,400,999,472,707,347,720,270,486,
599,495,633,886,169,659,186,074,576,922,902,296,613,756,134,623,754,317,431,
172,603,078,607,658,615,192,115,530,155,255,392,522,161,878,056,974,546,104,
977,922,581,505,296,396,219,337,430,419,642,963,546,203,770,586,460,825,917,
623,363,785,362,484,176,137,051,510,160,026,945,221,771,417,524,002,508,177,
805,455,215,851,103,785,138,713,545,387,171,188,981,396,128,450,587,621,889,
032,655,123,747,850,514,744,214,968,140,636,993,598,256,569,889,937,660,549,
863,412,676,225,583,499,382,975,949,735,229,203,476,120,548,662,832,038,467,
664,681,623,044,274,562,544,499,026,825,273,055,790,610,469,612,956,400,548,
890,568,080,191,597,862,620,152,574,883,559,984,712,045,176,834,792,180,258,
709,995,332,058,456,334,718,909,988,834,619,092,804,011,680,450,220,060,128,
914,533,940,002,873,870,600,625,669,574,314,075,407,655,250,774,914,841,829,
161,783,752,663,373,748,033,422,182,954,368,270,466,491,443,625,566,697,103,
944,289,633,497,843,018,416,366,390,189,604,165,024,025,889,020,494,143,547,
727,872,605,174,521,735,092,829,201,608,001,520,744,742,658,272,094,876,928,
324,610,991,718,715,064,511,332,602,784,533,961,461,076,399,297,432,277,822,
721,998,369,462,863,056,931,836,163,969,492,498,133,794,791,883,616,371,340,
645,809,859,199,988,714,380,446,247,888,535,846,913,892,578,200,635,852,604,
452,751,153,653,435,721,714,132,098,676,872,202,507,997,457,222,348,307,972,
117,378,031,284,365,403,917,237,916,826,507,100,819,578,266,181,935,577,883,
161,357,602,478,231,247,035,955,301,415,217,007,144,856,763,484,155,909,073,
083,490,944,036,434,467,377,476,524,208,118,684,083,678,083,452,119,459,451,
423,958,873,699,444,150,834,802,612,286,165,094,869,833,432,758,080,016,397,
470,579,876,704,716,704,918,388,836,622,232,745,107,202,687,402,061,363,200,
990,414,348,561,138,720,235,958,609,991,759,910,121,280,929,096,964,422,216,
323,637,625,127,609,169,990,866,571,316,031,157,986,392,373,138,254,394,079,
288,712,499,411,849,411,356,489,577,267,292,670,344,646,769,236,904,550,196,
633,349,179,681,116,447,692,482,817,556,192,012,748,995,142,155,153,808,888,
516,959,765,598,412,311,802,875,532,285,512,098,116,397,370,597,010,588,915,
876,147,854,039,536,781,236,506,960,095,827,163,317,770,774,473,923,650,456,
048,285,646,405,005,393,619,139,766,233,134,580,299,414,030,789,065,138,834,
731,578,813,763,684,940,666,076,656,676,798,841,813,275,841,446,597,556,491,
879,011,597,346,279,568,360,433,741,569,496,406,992,808,166,948,257,336,672,
894,724,896,090,105,619,393,383,294,246,256,864,340,590,329,649,010,918,763,
946,470,623,807,444,120,525,903,890,581,902,785,967,116,988,524,413,792,051,
342,294,243,621,332,997,168,953,070,390,287,256,910,761,289,060,351,806,165,
458,725,327,773,881,300,759,650,103,404,483,011,541,575,113,850,077,039,598,
676,996,618,684,917,508,291,939,528,856,167,028,720,313,511,195,890,339,469,
804,823,491,034,204,337,662,195,195,210,910,053,859,771,172,075,267,525,995,
395,138,304,343,247,255,625,225,832,833,005,548,145,070,088,017,095,090,323,
018,881,794,651,183,467,841,460,513,612,253,356,710,302,014,432,966,453,482,
222,155,116,691,713,540,426,258,093,598,128,932,109,500,460,244,169,018,693,
074,064,372,261,596,036,288,468,641,543,682,604,555,930,875,850,824,080,436,
889,501,250,585,491,028,944,375,536,305,685,531,867,385,503,802,465,165,976,
554,731,934,088,302,425,486,883,068,242,446,342,071,550,569,216,334,035,196,
033,308,726,877,520,331,847,919,488,636,686,122,114,637,991,890,522,538,153,
788,679,802,089,248,620,699,139,993,301,513,832,954,849,215,566,558,197,664,
715,486,148,214,914,076,640,527,524,882,553,001,884,034,777,199,827,674,745,
688,219,328,031,514,383,093,873,974,992,917,882,822,632,297,945,580,879,747,
871,655,177,306,085,896,983,997,440,263,279,796,013,816,662,289,274,283,513,
727,895,103,188,006,672,523,021,483,801,838,948,483,351,559,546,711,453,391,
510,006,085,533,973,855,407,788,144,502,762,791,195,355,620,361,873,387,573,
069,567,247,275,324,868,987,737,665,550,908,357,749,745,169,439,900,618,419,
674,110,714,411,047,877,210,462,637,369,842,499,310,176,062,448,435,793,619,
954,667,939,914,607,750,501,819,750,154,908,615,886,876,561,659,590,813,018,
398,772,150,222,877,141,140,948,103,667,727,806,113,811,266,955,122,519,138,
056,293,562,589,650,098,074,765,233,394,458,406,160,364,251,618,042,908,209,
682,159,173,881,291,530,884,559,494,122,694,448,700,993,053,805,320,310,479,
391,008,272,884,230,653,585,249,989,630,510,522,132,111,629,245,201,583,481,
090,406,433,118,802,773,500,184,315,558,475,889,070,445,287,734,603,810,921,
923,997,856,078,700,796,454,628,640,586,464,478,842,233,179,212,547,334,578,
144,349,189,378,193,733,337,588,265,504,577,797,599,866,576,432,621,662,666,
526,522,687,641,899,678,629,785,048,026,957,926,150,171,437,342,609,667,872,
183,336,357,278,671,337,257,752,971,680,970,338,287,777,366,891,039,138,651,
470,896,766,284,014,476,662,153,641,119,047,442,649,085,792,645,162,294,701,
595,143,839,896,672,545,219,682,495,568,391,446,206,673,034,580,307,342,887,
854,151,377,999,188,354,033,336,289,750,342,171,519,310,584,074,094,725,633,
899,932,602,759,830,341,021,405,007,644,921,287,948,234,457,869,736,861,936,
843,867,314,860,790,469,025,065,527,885,527,600,808,049,566,418,168,043,116,
145,468,433,932,634,129,041,052,974,431,337,120,598,917,814,605,359,090,112,
824,511,800,895,918,124,998,513,088,536,289,437,570,222,835,129,668,721,214,
526,163,990,704,342,333,615,258,035,277,559,892,151,696,880,684,804,098,088,
490,167,162,980,228,250,244,258,322,633,784,188,719,259,624,034,539,837,577,
505,161,976,689,463,851,156,151,581,783,331,765,751,035,916,133,728,890,929,
191,300,368,163,538,652,046,432,825,071,828,613,269,696,339,824,524,429,548,
102,852,069,410,067,805,126,509,328,311,870,720,110,277,682,491,760,358,086,
568,826,039,439,796,797,232,073,546,938,923,376,347,066,214,715,330,556,065,
293,387,651,863,974,084,078,371,944,949,833,145,498,066,022,259,819,753,247,
828,314,851,012,241,935,812,133,612,585,712,087,922,882,381,650,192,544,018,
224,089,862,226,734,045,061,391,252,666,319,450,647,807,201,713,976,410,791,
728,957,158,090,647,209,458,106,234,298,921,950,103,725,313,514,172,741,200,
074,451,612,840,426,846,712,017,594,322,516,069,545,291,389,384,556,218,715,
824,937,816,687,372,241,493,142,302,080,107,447,214,355,252,565,503,352,030,
768,402,830,442,497,510,282,329,168,689,183,708,194,496,775,911,769,667,870,
121,216,196,822,239,380,148,533,653,149,255,851,172,099,927,746,039,343,879,
819,414,715,210,296,222,199,271,026,144,968,894,061,559,990,238,294,452,999,
875,908,906,186,521,395,692,420,215,190,092,980,106,541,746,383,423,156,690,
319,544,330,719,167,151,942,683,558,832,939,472,734,278,948,786,236,965,050,
541,694,734,334,914,176,381,146,691,284,517,609,764,235,760,890,293,410,157,
515,743,719,948,612,065,374,805,589,599,173,152,010,842,962,780,289,593,875,
203,252,237,260,859,811,727,490,535,350,001,479,526,891,508,117,142,712,920,
255,745,392,265,921,941,326,208,179,202,497,508,770,109,712,312,740,921,081,
417,063,918,004,042,111,442,760,679,274,060,574,761,424,446,017,231,099,924,
595,222,563,082,953,393,182,009,886,513,037,636,219,457,279,325,461,689,925,
876,573,285,884,665,369,331,010,510,693,944,615,594,877,865,471,880,405,950,
262,999,700,813,174,229,510,840,016,901,738,845,195,284,731,229,441,908,992,
517,502,636,420,934,352,374,354,320,378,367,171,393,671,971,108,212,898,532,
312,296,242,460,196,472,790,093,714,782,969,405,169,316,031,513,968,024,309,
576,923,584,780,548,043,189,572,876,172,858,560,713,424,042,125,762,145,169,
908,801,554,450,640,139,223,873,050,697,101,000,185,211,507,385,556,492,500,
110,131,257,273,104,890,532,771,131,923,321,721,872,965,994,380,661,915,830,
236,387,187,807,221,085,185,407,575,199,336,644,776,485,310,884,418,211,040,
170,735,200,967,388,075,173,622,742,354,972,114,756,043,068,328,009,532,965,
976,503,311,177,518,030,998,990,306,198,499,277,784,523,583,531,613,177,169,
741,177,774,353,009,140,381,676,629,302,405,237,488,366,380,846,703,448,681,
107,404,277,731,214,618,710,708,942,965,233,074,864,213,255,310,656,154,298,
726,199,108,980,171,953,025,203,947,161,796,008,503,801,862,857,032,142,522,
002,261,491,701,689,762,448,542,251,291,983,047,955,444,869,463,669,647,482,
982,065,069,126,919,695,781,049,192,606,569,325,424,813,517,284,908,893,222,
217,809,333,032,747,074,042,440,711,551,040,547,351,478,778,405,594,746,617,
481,705,429,429,846,871,167,139,464,245,338,301,168,982,510,964,086,992,995,
645,036,848,064,682,648,546,498,716,997,356,284,543,422,659,418,439,406,867,
854,446,188,269,117,566,907,688,978,983,321,215,542,139,496,478,844,509,655,
035,662,417,969,203,867,363,934,511,519,674,758,967,786,020,593,619,090,769,
580,918,135,868,249,344,582,923,998,517,650,550,369,766,322,820,060,379,474,
754,644,553,636,667,675,808,670,213,410,669,717,376,939,908,442,734,349,785,
068,233,629,906,557,952,046,902,723,058,679,668,851,018,514,083,446,495,077,
535,688,548,495,913,220,658,519,154,843,475,011,638,490,930,035,808,973,723,
734,462,919,412,525,645,419,361,754,392,110,982,576,967,405,761,467,715,468,
176,103,177,583,151,382,614,223,127,674,294,390,130,290,935,787,464,639,335,
966,668,180,237,122,919,836,492,688,854,487,470,805,865,452,495,170,865,849,
917,084,621,164,537,332,550,953,964,865,689,098,475,986,256,937,078,388,733,
747,929,024,611,677,886,452,484,086,527,905,347,064,162,865,415,308,332,956,
253,910,923,103,143,523,029,153,330,714,796,821,796,207,633,070,375,034,840,
993,855,604,668,612,082,368,948,532,356,888,510,582,551,914,527,937,787,387,
503,292,220,619,411,384,464,997,276,552,234,598,992,299,041,026,968,514,515,
740,072,766,770,168,319,213,821,535,967,880,766,418,227,846,409,221,647,918,
322,896,450,197,457,935,711,532,028,255,651,020,567,402,309,712,322,156,045,
942,798,714,334,128,843,172,828,213,610,959,336,192,123,839,355,842,109,651,
402,801,195,586,699,890,920,191,577,452,072,023,046,402,342,651,064,665,717,
043,953,991,746,868,798,690,353,108,202,233,188,679,487,696,993,718,833,604,
705,665,329,767,449,910,666,581,697,748,339,963,658,696,703,362,263,796,736,
061,118,884,369,029,241,868,112,562,663,514,914,390,462,080,733,512,873,158,
896,207,451,158,964,609,351,996,897,401,465,349,346,362,832,146,272,690,936,
951,426,409,561,966,010,993,712,015,544,394,375,530,253,787,003,912,359,102,
275,380,107,922,298,979,026,677,261,872,772,683,818,668,405,654,067,477,083,
169,626,587,349,631,210,214,543,737,222,357,976,556,246,524,470,162,673,943,
175,935,106,891,490,523,607,571,578,804,603,939,930,612,511,796,649,190,528,
762,723,360,799,296,576,887,777,907,107,950,359,408,319,991,671,417,105,273,
050,737,386,823,288,231,059,928,989,088,650,677,926,809,413,062,276,417,352,
944,938,201,354,691,610,520,509,927,062,013,956,635,877,766,143,660,033,868,
913,262,903,449,146,398,374,475,462,481,012,985,180,030,560,378,601,709,862,
504,789,158,730,048,416,043,124,927,858,746,897,504,272,861,516,724,909,603,
775,727,408,340,864,485,719,554,524,637,882,870,236,100,800,542,311,456,193,
270,728,887,517,511,637,218,723,588,743,614,361,900,564,959,055,734,830,280,
616,756,158,307,747,614,290,745,520,907,663,162,886,087,696,470,235,744,942,
237,016,186,821,140,463,603,722,822,598,667,978,691,885,025,296,493,193,340,
031,660,752,706,450,726,397,037,216,021,697,241,916,444,343,930,131,734,203,
700,423,407,756,153,047,677,207,676,022,501,920,480,639,882,451,509,548,978,
424,033,747,150,991,025,045,877,625,769,552,051,279,693,583,974,808,661,069,
220,832,958,632,789,255,219,270,973,572,929,573,565,292,185,144,577,928,894,
424,652,767,843,632,229,341,984,844,571,218,301,697,077,335,736,795,096,197,
156,691,205,628,452,921,498,079,691,331,626,537,279,684,230,061,501,257,073,
395,775,515,901,296,275,121,978,193,416,901,605,685,794,193,722,551,027,815,
994,307,404,111,169,890,149,810,753,290,337,199,736,415,611,361,621,424,065,
169,850,896,669,138,097,460,713,189,343,941,153,681,567,259,719,641,969,702,
047,111,864,850,011,597,308,752,547,297,283,325,572,368,542,785,041,522,438,
262,260,882,818,097,167,667,105,114,429,871,445,859,526,105,406,915,501,005,
141,886,623,488,122,579,908,083,352,800,774,771,694,750,939,456,734,955,360,
143,318,991,987,259,383,294,430,804,847,254,877,282,606,026,314,258,960,640,
240,400,921,899,359,515,646,207,631,280,396,170,688,873,131,384,175,776,223,
270,037,775,721,491,743,239,772,326,027,255,138,106,612,734,258,480,497,876,
614,844,869,876,861,834,340,440,488,164,539,875,404,793,353,997,164,181,374,
801,732,272,004,420,590,802,612,930,476,519,425,465,860,730,813,095,693,218,
111,571,955,463,316,840,235,165,831,580,089,422,610,627,540,373,825,320,335,
969,429,547,205,163,720,304,926,480,657,499,795,839,899,043,254,207,185,580,
751,786,230,876,566,616,483,264,601,062,378,612,568,113,949,042,758,968,217,
906,018,940,923,890,605,294,596,045,881,084,467,501,575,671,921,902,340,978,
288,117,893,587,141,997,788,003,794,942,134,587,465,908,371,255,743,536,618,
051,733,937,205,098,741,328,387,398,426,892,259,612,948,166,231,568,469,471,
130,394,992,954,146,272,033,786,709,698,270,292,743,881,707,726,888,665,749,
379,748,251,456,387,776,027,676,513,027,167,982,889,409,723,463,220,366,001,
568,942,625,502,963,180,192,174,890,975,481,836,704,789,238,023,704,011,966,
823,717,363,921,040,308,686,596,968,001,011,272,783,524,517,884,582,650,893,
522,750,201,609,715,032,562,619,381,425,545,186,737,610,218,894,537,301,533,
807,821,490,362,849,203,323,826,314,945,742,879,577,628,091,500,880,756,601,
452,767,917,689,387,241,918,556,129,861,363,467,432,654,795,817,932,451,689,
188,038,558,688,530,980,019,700,620,719,382,548,894,278,006,224,835,186,046,
632,522,257,457,998,387,265,979,680,019,235,830,067,001,166,422,310,103,449,
616,055,070,342,676,603,512,172,169,507,625,181,627,823,598,138,862,434,737,
326,669,384,698,980,294,539,387,903,562,397,917,136,717,695,793,121,868,267,
438,564,914,125,608,316,368,163,612,959,486,759,575,051,670,187,991,942,400,
701,805,573,539,141,091,546,905,321,413,781,947,330,894,057,790,467,013,929,
881,817,207,547,388,019,936,340,150,884,604,258,081,593,952,330,613,586,768,
378,710,226,682,368,122,857,633,138,570,825,864,513,098,740,958,307,184,482,
242,051,742,304,739,129,675,650,561,043,694,188,212,548,704,149,232,598,971,
412,999,470,250,827,371,305,913,260,435,216,754,702,953,351,160,381,310,096,
484,505,428,904,614,271,497,883,319,340,652,927,986,354,976,516,864,117,442,
217,553,904,767,135,876,766,613,314,709,484,737,282,979,578,499,096,783,498,
409,218,457,579,266,184,409,726,416,216,993,177,485,187,145,340,722,074,836,
830,212,700,925,220,236,870,758,642,985,001,091,872,635,164,922,674,746,544,
185,826,510,735,364,937,412,511,367,983,206,453,608,533,381,798,062,646,227,
100,026,472,902,459,375,027,437,205,750,996,990,071,264,733,351,644,232,727,
288,484,903,072,770,741,327,441,207,963,146,569,915,891,577,359,087,750,099,
621,012,707,774,652,934,549,252,852,461,002,399,203,781,875,967,309,596,787,
235,330,337,345,603,197,113,465,868,031,098,828,732,847,135,300,170,571,680,
446,214,177,872,595,384,451,057,148,753,547,640,540,096,379,959,872,550,021,
914,697,301,162,441,797,165,989,873,571,654,900,707,219,921,950,652,083,535,
966,646,228,368,309,152,849,224,118,552,660,735,130,813,883,801,405,625,061,
187,309,645,754,347,310,097,220,466,938,154,686,478,500,506,026,472,817,325,
697,056,850,454,673,338,296,381,248,765,638,850,612,075,737,006,071,636,257,
336,551,839,475,281,975,198,917,941,683,527,580,128,687,338,937,986,881,742,
368,102,269,999,423,478,004,870,020,832,011,135,603,966,171,962,236,750,534,
552,916,553,062,285,459,309,370,465,356,287,287,812,501,898,151,886,786,453,
019,960,530,872,593,087,955,325,404,627,116,639,830,316,247,500,802,008,069,
015,543,728,648,935,443,563,690,234,008,184,276,166,710,692,089,173,116,808,
914,989,713,994,521,969,400,443,285,762,621,983,392,296,512,864,018,666,163,
523,186,695,854,080,798,298,537,047,048,083,599,898,010,878,709,791,595,969,
757,411,868,367,085,541,324,439,945,877,383,807,577,290,892,910,009,067,057,
137,496,423,832,105,006,194,861,799,275,609,948,605,599,739,681,308,376,581,
553,579,989,123,820,581,992,469,076,399,020,014,645,967,835,803,604,686,721,
613,022,411,843,988,832,778,817,094,118,327,185,267,038,240,428,387,335,567,
701,143,301,314,190,470,140,052,391,854,486,001,129,506,523,751,825,814,878,
439,835,147,695,455,819,365,627,558,047,177,801,153,535,734,451,496,624,783,
176,420,030,532,066,980,985,623,046,221,972,409,157,685,698,802,703,468,152,
560,052,140,979,915,741,236,938,416,865,300,019,142,921,882,380,484,100,632,
948,579,432,167,132,286,529,528,628,275,943,274,577,254,975,640,470,751,511,
364,644,924,640,311,693,587,159,137,353,972,813,240,985,491,310,281,738,296,
732,559,351,262,920,558,743,713,064,146,623,319,707,230,442,570,922,468,079,
112,393,525,138,911,320,901,244,477,395,032,541,250,277,937,297,655,665,893,
250,833,496,707,137,381,897,478,161,535,980,704,424,906,462,951,036,314,285,
695,183,120,754,396,816,327,754,891,662,878,124,994,259,182,949,418,141,874,
820,329,656,760,485,800,285,895,868,877,223,599,072,070,150,036,866,345,454,
398,478,823,337,740,612,214,048,923,314,741,065,720,207,318,160,202,908,251,
155,959,013,428,370,031,908,008,594,804,920,586,742,229,595,541,563,432,537,
215,788,308,201,766,753,183,110,953,413,153,240,346,594,225,334,036,528,198,
039,962,855,301,446,125,081,472,053,014,893,371,438,633,713,377,534,183,286,
245,605,011,564,453,310,481,337,531,523,599,704,567,506,397,184,263,815,733,
022,758,675,210,121,252,959,297,958,384,256,575,691,561,181,071,364,752,353,
602,152,770,690,174,869,775,970,021,226,954,733,137,962,164,158,541,664,403,
819,219,917,859,412,711,513,180,636,609,485,919,990,209,259,971,440,828,830,
386,069,008,856,135,264,873,204,584,084,527,801,048,614,756,065,201,123,576,
445,172,807,037,601,642,405,207,590,035,912,135,228,221,537,156,282,076,239,
137,671,370,399,873,341,559,997,211,899,714,171,727,818,489,432,536,951,418,
122,559,111,403,171,045,190,586,731,957,211,552,334,105,927,541,653,649,496,
601,060,578,462,076,813,291,982,270,887,512,086,148,982,324,677,011,972,011,
509,245,543,694,479,222,178,179,855,274,404,161,386,317,194,458,898,606,049,
316,839,411,835,256,123,834,929,915,311,736,626,593,411,834,886,500,344,977,
762,547,971,757,814,464,621,733,204,376,323,865,286,068,605,023,152,045,689,
571,261,724,280,918,413,478,868,374,983,490,580,874,592,782,929,892,948,995,
251,697,669,589,322,459,271,483,191,046,664,273,061,664,318,735,316,818,895,
359,311,979,835,454,512,983,929,077,211,982,893,213,042,505,330,655,123,054,
126,246,324,828,184,864,810,789,753,611,004,973,132,122,808,258,121,770,332,
772,048,343,265,873,753,229,608,924,022,144,613,253,157,359,545,011,602,995,
397,834,825,408,216,507,730,510,404,088,870,803,134,005,955,010,102,424,845,
724,670,883,451,585,700,975,326,488,888,579,942,021,289,211,021,793,035,443,
713,934,740,749,218,993,403,874,280,029,149,806,053,324,931,390,943,163,408,
903,867,028,663,740,991,629,843,804,026,688,638,810,050,788,544,811,170,193,
324,684,046,012,976,535,153,337,770,480,180,399,755,417,670,555,141,340,370,
448,924,549,648,361,739,172,355,952,890,788,101,264,834,592,015,793,029,347,
713,822,128,081,077,945,280,622,435,614,629,752,325,232,797,977,052,548,651,
549,652,925,266,954,071,659,648,080,187,510,574,731,653,863,235,332,495,496,
578,308,742,831,002,116,042,004,263,519,512,324,811,907,001,167,223,387,629,
917,030,621,243,866,385,178,529,790,305,033,090,969,768,919,523,412,160,643,
478,489,612,086,902,736,700,791,403,821,145,140,389,356,379,352,392,295,428,
603,234,637,295,984,961,270,059,669,561,595,470,604,072,251,909,552,168,976,
839,565,184,374,090,795,178,900,840,572,316,343,204,834,287,574,691,567,426,
564,393,935,152,579,924,372,736,886,037,575,010,463,612,020,382,602,721,417,
531,082,416,838,580,042,132,369,442,799,895,771,243,691,993,297,917,023,432,
506,963,769,521,868,193,617,632,791,988,949,710,038,307,983,461,513,579,062,
742,132,464,692,370,263,910,214,118,446,693,117,457,150,824,066,808,396,087,
051,804,492,342,912,091,147,633,705,263,935,034,855,473,792,992,532,558,075,
819,218,814,669,509,296,514,268,089,417,933,160,646,754,291,532,078,245,745,
318,924,613,405,253,661,796,199,809,455,240,292,468,829,872,968,434,780,845,
369,738,297,689,395,588,843,111,744,818,060,115,277,218,860,580,302,759,327,
074,088,616,537,310,271,877,671,486,804,851,870,242,842,919,701,808,293,109,
067,655,230,308,221,213,954,384,043,798,123,073,821,088,641,916,556,000,165,
576,637,447,226,238,560,706,410,749,503,039,314,592,254,172,353,142,415,549,
058,356,585,746,528,583,814,685,304,307,718,544,503,357,142,410,059,064,453,
538,580,059,607,660,579,229,989,221,027,472,341,924,003,802,217,445,757,140,
592,138,764,908,647,484,868,978,612,200,218,790,035,892,757,494,017,951,212,
826,377,890,914,573,915,672,948,802,986,905,785,017,289,012,498,712,971,151,
009,883,050,027,936,431,249,288,808,162,536,462,341,026,260,356,439,610,535,
804,010,929,439,342,308,130,926,694,395,583,934,600,592,441,686,083,216,864,
831,542,267,857,352,904,355,896,059,492,321,026,731,766,093,819,909,104,779,
903,912,962,484,971,977,700,936,587,597,561,218,674,910,477,648,419,181,684,
159,892,510,169,527,105,849,836,750,075,561,215,460,873,181,591,370,932,222,
610,955,904,366,967,776,818,804,581,057,924,768,223,543,871,878,925,695,095,
231,712,892,164,901,571,512,928,100,871,429,066,912,415,489,199,163,637,913,
810,748,780,444,277,332,963,888,053,990,977,869,319,556,643,342,136,795,244,
799,356,177,076,678,186,370,251,600,299,918,401,103,774,511,120,578,642,106,
840,831,775,555,455,691,731,947,862,959,853,984,257,367,298,103,168,124,842,
611,900,251,860,259,353,119,533,230,938,384,266,458,523,179,026,940,255,548,
902,765,002,685,766,787,451,636,625,037,014,580,897,331,313,544,639,658,772,
710,212,189,343,371,944,427,587,734,202,795,201,364,200,544,066,883,956,090,
147,639,549,782,406,506,740,751,606,492,637,067,405,202,407,801,636,351,761,
708,453,496,769,081,514,631,625,889,120,694,865,473,622,960,810,400,795,195,
909,166,249,245,123,726,551,407,376,864,853,778,709,854,254,173,618,863,606,
855,604,705,527,177,822,315,842,640,203,553,712,268,940,399,569,651,662,565,
098,189,787,085,584,452,802,473,825,795,920,052,677,758,503,472,496,688,312,
788,459,801,661,997,469,358,436,614,345,051,773,251,001,430,201,547,446,204,
934,196,479,017,004,519,560,284,631,517,256,977,589,081,781,656,812,566,337,
873,211,346,953,061,310,972,958,246,590,804,150,214,048,082,350,255,278,739,
721,456,592,053,997,091,763,983,332,988,009,729,324,720,659,728,648,582,835,
554,701,100,764,363,889,056,692,747,760,845,244,889,802,541,387,620,822,543,
273,264,889,960,808,131,136,748,982,457,869,699,751,009,305,827,059,657,168,
585,970,099,925,224,859,623,439,671,458,460,133,694,910,716,224,331,458,998,
751,814,115,833,322,406,298,442,228,484,601,587,258,352,390,433,179,107,741,
554,132,069,798,710,179,773,835,496,955,845,415,945,941,299,413,175,484,864,
226,380,335,716,561,805,200,360,103,069,085,769,253,161,748,365,706,030,567,
513,375,937,040,490,021,725,641,822,596,584,573,186,786,519,525,227,731,871,
666,692,895,593,226,339,218,743,106,174,183,166,133,579,418,147,844,339,167,
152,340,079,651,194,087,142,279,046,396,382,099,457,451,500,737,002,118,968,
853,431,237,890,230,061,518,227,327,991,785,550,456,287,865,416,795,458,184,
825,514,070,773,439,709,510,742,033,280,180,558,953,711,005,428,816,299,276,
562,554,777,278,757,105,099,490,621,623,403,491,040,650,674,371,261,279,561,
111,635,750,964,511,099,198,006,880,606,821,146,402,311,515,129,533,596,537,
205,229,667,735,934,563,698,189,305,382,957,306,073,584,705,304,989,140,698,
783,857,650,599,246,255,421,517,783,915,311,241,700,661,983,486,740,452,203,
338,274,975,986,556,852,518,874,208,197,860,334,414,455,998,510,214,907,897,
962,346,165,802,610,644,096,836,622,712,923,943,378,325,851,294,141,719,167,
033,553,760,578,751,053,333,357,794,078,042,573,432,869,414,251,074,740,713,
421,946,003,610,354,103,140,183,014,035,695,778,971,967,328,979,462,829,163,
035,354,005,775,450,890,784,969,374,453,631,202,380,516,717,080,513,018,118,
098,778,984,954,244,282,987,351,505,413,431,017,216,166,085,796,740,532,904,
922,705,534,522,536,290,257,690,521,188,609,641,316,236,636,845,862,887,977,
797,837,717,201,407,647,965,380,298,218,583,546,601,970,914,160,235,185,235,
828,145,450,139,780,892,446,699,785,521,133,647,939,716,717,945,258,538,412,
674,406,900,462,230,187,594,740,320,435,264,127,712,784,474,616,170,484,857,
660,513,646,247,407,439,102,944,091,344,074,435,745,044,827,135,314,291,190,
144,486,648,512,479,404,912,475,920,151,048,405,279,196,830,446,660,524,146,
828,170,614,991,078,279,105,776,162,385,390,252,383,779,534,038,910,088,602,
068,124,270,521,583,881,696,447,406,774,299,266,303,532,838,008,692,438,751,
902,892,874,941,703,905,226,672,975,518,286,210,383,464,115,112,137,703,899,
532,089,386,594,062,322,910,110,728,339,944,333,974,105,079,873,361,372,653,
728,165,542,834,049,383,366,954,468,561,795,069,673,768,150,139,136,210,443,
895,820,365,708,391,839,472,364,157,023,676,915,895,135,364,863,303,911,706,
056,122,035,205,126,638,869,721,076,406,268,925,775,626,011,209,408,604,296,
588,365,361,187,819,503,730,513,181,679,258,923,545,487,456,188,122,966,392,
473,380,198,367,185,516,246,321,697,430,100,274,845,941,964,664,174,925,827,
423,710,196,805,041,821,374,260,187,170,370,652,459,213,626,041,983,556,251,
901,688,323,001,967,525,439,099,939,357,924,621,061,480,762,704,733,208,406,
386,287,660,417,727,636,435,718,164,555,054,719,923,474,855,502,018,470,902,
556,512,650,672,328,346,157,258,031,663,164,235,340,427,374,397,384,859,992,
200,577,471,717,330,800,452,026,110,474,626,818,409,033,457,675,654,800,412,
537,967,437,921,468,587,495,766,206,981,474,211,242,380,078,661,467,314,669,
032,254,076,878,086,295,164,298,618,706,503,956,274,876,363,669,304,799,370,
866,823,686,481,698,021,545,317,320,253,035,371,796,154,844,087,465,171,168,
934,906,118,611,861,847,440,020,453,669,637,546,679,266,300,834,298,645,334,
554,823,421,003,908,539,326,240,387,542,056,277,314,168,385,160,989,268,428,
742,583,283,937,064,391,589,949,798,965,965,476,297,076,706,959,023,195,447,
013,742,931,943,624,815,938,630,979,466,452,613,971,176,883,781,509,131,861,
056,481,850,442,340,207,659,794,815,207,579,853,054,721,948,090,170,914,350,
180,054,515,519,267,041,685,885,245,269,748,644,214,870,267,884,004,337,971,
861,187,321,968,082,714,504,101,096,971,186,599,744,149,433,008,645,820,705,
373,630,311,267,329,780,480,301,300,714,558,823,992,214,495,790,280,935,961,
795,878,222,819,022,522,896,243,119,985,814,502,115,139,256,236,868,498,639,
603,897,864,145,206,554,828,139,221,868,074,390,411,378,728,874,938,099,655,
893,005,579,236,111,868,265,466,301,688,503,098,449,783,113,784,062,765,025,
110,890,609,753,689,120,905,951,988,042,298,335,256,116,583,880,064,034,621,
875,350,759,392,577,168,801,769,117,424,886,003,447,151,308,351,511,141,966,
289,909,529,931,756,581,988,460,441,633,155,801,557,359,340,635,144,327,758,
475,965,940,975,081,759,491,008,636,069,537,853,554,434,745,921,757,385,303,
004,135,626,767,899,114,064,461,244,974,454,526,005,589,435,218,371,784,228,
137,916,099,096,517,934,305,898,384,452,564,422,943,646,010,506,997,227,638,
556,048,864,710,386,415,631,891,242,662,221,349,675,868,188,181,621,908,752,
028,292,520,695,143,286,902,035,785,423,610,572,815,695,285,541,954,291,940,
929,323,041,911,840,940,615,880,499,529,577,903,183,925,866,167,169,949,834,
938,429,442,836,311,650,303,630,378,060,144,771,897,792,298,807,309,871,474,
956,163,001,520,075,895,750,063,285,945,670,679,588,092,395,006,656,678,131,
824,035,546,518,510,397,009,638,454,082,131,935,086,225,291,049,738,686,854,
748,352,994,222,622,482,438,841,705,078,481,976,742,287,233,091,071,584,787,
679,931,393,988,143,167,195,414,028,762,022,812,726,345,880,870,031,026,585,
394,550,808,092,614,735,891,813,732,788,121,618,220,353,644,601,072,916,869,
933,439,962,190,255,371,792,420,196,280,092,562,715,580,382,692,558,322,694,
349,515,915,087,478,748,627,253,211,701,308,773,639,158,569,670,279,881,165,
618,449,833,929,351,280,476,487,142,366,449,838,255,526,141,772,479,517,844,
459,137,304,570,512,169,707,936,130,127,431,462,126,451,716,567,550,367,550,
023,881,749,465,880,080,944,719,391,608,003,289,957,469,074,210,167,604,036,
846,390,505,174,397,553,441,292,235,358,792,530,903,525,551,413,229,534,233,
187,859,403,866,493,304,561,369,439,427,377,639,659,160,622,511,415,519,432,
701,975,108,851,249,641,202,528,040,586,873,526,430,067,166,548,248,414,267,
210,531,116,968,272,536,569,778,831,027,175,459,882,386,312,744,528,258,467,
327,206,386,868,241,239,458,444,822,761,422,663,549,826,197,946,336,711,786,
936,673,495,038,799,289,831,668,496,997,351,891,716,113,655,544,030,993,111,
453,053,194,150,007,489,941,461,340,088,535,902,954,223,182,951,298,412,226,
859,570,444,521,510,241,447,096,454,323,624,749,409,122,297,274,439,871,073,
065,403,230,109,667,172,687,325,354,607,512,795,712,335,753,067,063,762,792,
385,240,324,757,094,045,288,967,889,782,690,590,116,465,001,739,718,697,753,
344,407,738,718,509,780,045,424,223,090,175,812,998,939,997,003,496,085,651,
779,644,898,995,431,439,009,020,420,004,766,285,780,281,199,707,465,861,666,
329,555,195,717,065,277,334,843,299,722,746,843,864,078,481,729,178,837,830,
267,198,107,237,111,353,091,201,856,720,720,052,751,896,344,909,750,993,956,
909,368,871,504,433,096,630,073,990,935,003,403,403,340,346,594,928,244,634,
719,273,209,884,724,954,262,994,549,313,534,314,455,868,070,438,598,967,599,
734,780,386,589,506,940,858,090,043,017,766,575,085,576,381,769,264,617,268,
793,579,149,824,972,399,017,825,964,945,843,371,316,357,122,152,409,501,834,
471,359,548,222,615,158,453,630,778,892,125,490,362,701,933,707,541,609,034,
175,897,935,373,069,854,221,637,284,589,516,482,223,262,280,998,499,526,710,
762,292,799,198,773,752,641,859,231,455,311,377,450,560,255,370,408,470,306,
672,311,504,105,503,832,454,146,488,428,456,664,929,976,986,721,415,766,275,
727,062,349,651,632,239,944,320,879,077,118,118,927,009,451,407,584,093,536,
253,733,223,307,905,955,916,616,300,910,535,493,909,440,986,244,441,627,342,
411,047,151,303,254,000,087,376,244,180,413,687,081,593,819,109,898,709,985,
173,480,776,346,592,816,375,475,832,241,505,091,794,965,806,786,082,357,216,
064,103,322,025,022,556,504,594,487,224,188,132,719,124,621,881,375,820,002,
076,961,407,524,339,906,218,144,004,407,539,525,321,871,347,590,847,480,018,
992,105,875,326,971,677,445,773,334,527,762,766,905,331,440,789,437,626,984,
676,750,030,247,286,340,947,601,626,489,737,230,804,099,427,085,519,343,447,
144,450,648,540,080,439,624,601,022,758,339,825,964,248,897,416,089,314,384,
722,615,176,534,629,052,536,233,202,694,019,519,251,356,218,214,582,629,648,
170,029,408,582,140,933,828,060,314,469,131,344,555,766,170,416,821,974,734,
224,656,034,062,158,135,825,747,574,841,485,079,129,017,337,759,961,686,118,
344,469,134,620,086,319,469,371,805,616,566,285,880,509,375,501,038,901,297,
301,605,211,429,073,293,688,699,352,336,462,345,039,780,071,420,005,112,506,
941,183,610,914,039,987,884,889,222,663,921,502,453,397,623,333,107,047,260,
050,210,048,812,111,169,985,998,774,271,566,762,836,183,317,777,021,682,394,
903,251,490,837,961,560,236,212,749,510,317,904,742,343,047,380,936,954,074,
340,843,090,195,101,670,858,435,993,600,956,342,599,523,929,001,400,786,363,
991,794,668,203,543,602,490,312,612,795,603,010,457,746,916,075,051,829,465,
764,491,105,871,151,747,455,578,106,123,087,681,414,925,478,659,666,727,628,
168,118,458,936,156,405,811,510,982,110,088,088,061,238,768,427,871,310,875,
267,285,672,826,462,162,291,125,995,279,553,688,591,192,957,602,617,935,993,
439,117,274,109,430,539,762,802,386,391,694,683,918,852,872,068,774,131,439,
399,047,123,536,105,010,816,096,512,396,248,752,187,838,897,389,194,329,257,
381,188,674,848,035,762,716,433,808,827,928,787,896,080,716,293,935,364,665,
301,997,446,106,904,913,206,302,228,186,454,396,370,891,175,117,316,093,166,
499,385,386,731,965,102,197,956,426,014,648,028,967,154,300,238,626,065,605,
113,669,712,027,663,451,346,198,165,125,296,187,242,793,771,425,760,476,516,
271,402,136,120,143,489,641,186,289,986,535,358,788,106,184,439,646,959,380,
753,410,771,976,858,923,573,950,638,486,179,129,418,471,187,736,034,409,995,
075,751,332,880,668,227,408,932,755,370,534,453,320,490,245,066,729,114,659,
972,985,012,760,568,760,058,263,901,675,361,225,269,855,390,279,154,217,693,
762,619,867,202,914,100,790,949,697,436,986,090,348,272,362,462,009,685,720,
133,475,048,839,990,576,210,262,796,135,562,444,911,634,411,803,957,075,359,
485,407,816,070,032,566,012,697,028,639,375,100,776,791,567,136,793,654,936,
513,206,402,709,265,041,439,050,302,693,651,410,123,352,409,308,112,476,594,
965,581,767,002,505,287,098,286,654,853,434,916,150,386,670,300,796,385,107,
676,898,793,584,084,797,018,260,440,220,570,871,358,882,292,447,312,040,290,
249,365,157,593,848,540,713,507,331,923,856,530,943,339,386,865,952,392,067,
964,548,943,620,246,567,320,784,134,867,432,716,663,315,401,539,539,870,207,
207,553,935,127,960,670,514,453,554,183,596,951,302,506,418,240,895,588,620,
111,571,822,303,958,278,462,165,815,975,562,437,419,608,102,660,863,792,196,
550,295,739,768,896,966,912,502,739,010,067,820,724,581,957,221,277,995,484,
769,257,328,173,931,352,031,214,909,471,431,688,231,018,179,035,279,600,638,
378,821,799,946,576,582,996,060,537,469,206,624,210,105,677,086,332,722,686,
159,980,943,943,512,489,522,376,065,478,839,929,086,931,857,973,015,123,368,
022,940,157,454,515,398,175,951,810,351,125,171,213,796,638,150,074,395,720,
313,662,918,990,077,481,460,893,224,770,213,468,217,246,895,079,198,383,711,
827,879,667,964,562,040,834,352,748,304,171,308,661,323,064,255,812,567,389,
075,882,218,093,053,300,793,042,895,781,585,314,235,502,073,196,912,177,001,
082,639,326,233,773,657,302,538,729,149,928,404,262,319,494,893,521,274,416,
419,719,097,188,383,538,499,110,928,957,457,941,228,646,630,622,306,473,693,
415,111,411,427,046,624,035,027,432,708,375,460,152,651,380,536,972,272,240,
695,032,532,692,533,675,796,143,431,476,356,401,885,954,871,982,426,338,571,
815,230,211,213,673,018,849,515,460,546,611,854,499,688,786,269,530,589,367,
135,006,836,260,550,720,907,661,346,918,972,803,946,486,066,903,137,695,642,
635,533,124,908,484,823,568,621,292,198,197,540,869,836,706,307,019,925,897,
699,415,198,215,713,470,566,069,121,041,848,489,227,271,150,340,950,530,371,
010,028,016,602,652,606,865,307,980,954,152,818,497,122,270,100,844,608,653,
667,637,621,242,991,144,991,130,633,368,872,278,961,555,468,307,367,129,530,
342,523,550,009,244,845,168,931,580,854,279,683,173,889,646,324,535,187,582,
190,259,617,488,769,725,270,501,205,260,733,415,996,045,497,458,541,277,018,
307,741,623,548,227,519,948,897,166,837,790,119,526,103,733,359,000,555,524,
753,121,299,555,393,517,521,687,331,854,811,174,843,102,311,009,625,711,383,
582,929,725,529,987,089,791,879,755,249,378,083,994,435,650,134,523,646,292,
266,379,016,487,621,515,283,311,625,132,040,656,147,741,089,797,841,062,278,
621,729,991,726,344,276,039,226,377,738,673,394,673,962,380,740,092,546,396,
732,517,705,871,990,815,154,511,014,818,577,779,199,565,468,668,744,567,094,
537,540,433,975,801,172,588,361,835,283,812,305,571,485,869,997,423,827,093,
841,241,548,229,281,830,216,793,296,464,546,848,740,800,275,807,791,935,396,
431,016,237,230,907,527,152,081,597,783,240,622,917,618,581,013,258,690,542,
178,675,584,402,362,706,957,228,091,573,202,993,615,909,239,347,144,109,987,
615,572,971,868,585,519,727,895,171,127,886,204,356,749,598,219,087,989,504,
008,432,842,297,109,403,527,871,471,352,155,333,986,743,516,350,661,401,886,
789,330,262,746,055,332,994,412,886,640,682,009,086,781,502,261,754,302,449,
456,418,385,578,798,213,484,064,274,138,646,745,661,414,701,576,646,269,030,
303,081,621,482,288,963,337,502,888,526,069,988,470,057,247,394,130,058,620,
346,681,123,123,827,670,261,474,641,652,018,960,470,608,987,802,187,858,825,
754,500,792,742,901,740,457,847,799,169,434,006,287,126,935,678,861,803,504,
214,609,963,808,466,819,979,224,272,574,048,537,511,528,341,911,676,993,087,
823,988,530,605,943,626,080,383,370,175,710,656,017,007,959,502,476,308,336,
553,885,503,163,697,444,496,656,468,804,180,969,553,157,798,365,234,265,487,
304,766,139,545,516,985,952,140,166,662,407,762,841,314,581,547,142,299,361,
253,060,128,055,578,785,403,041,046,969,940,311,006,877,430,989,496,416,743,
728,690,202,724,166,851,260,155,010,909,805,530,723,083,284,513,326,994,642,
003,887,405,201,288,866,325,807,531,569,178,104,121,171,053,745,350,849,653,
027,517,032,428,732,306,217,539,401,639,124,515,159,608,736,895,511,515,953,
836,838,982,632,968,244,549,488,777,166,832,808,412,924,145,907,307,138,750,
972,408,462,218,627,018,775,073,781,030,054,011,754,089,971,554,580,672,829,
250,093,282,540,907,005,696,505,920,431,838,294,185,532,815,070,108,428,902,
883,443,685,757,207,359,727,015,510,149,713,563,961,135,839,990,827,668,436,
978,517,424,984,027,017,077,752,204,586,306,562,387,767,530,786,151,551,533,
284,111,175,057,645,455,478,307,567,721,485,815,734,313,406,878,176,061,636,
815,657,403,638,235,544,006,670,266,582,070,066,817,255,197,859,450,919,957,
235,336,167,347,942,359,988,507,745,214,735,710,016,186,438,154,150,224,150,
005,562,646,481,514,846,522,549,818,830,188,838,116,353,859,793,644,722,689,
419,270,255,342,428,820,076,637,062,641,351,094,622,694,584,311,508,525,394,
666,073,249,116,862,956,235,232,604,544,649,779,176,186,091,952,938,027,870,
012,092,902,675,246,407,284,936,814,782,740,296,120,998,667,490,931,430,210,
145,207,344,184,060,102,403,001,369,782,670,828,855,565,340,652,054,487,575,
759,265,208,934,718,379,650,656,044,793,336,020,065,357,765,629,596,886,976,
800,993,745,954,614,865,485,899,498,205,987,156,515,515,558,498,432,128,195,
555,688,805,387,311,720,080,363,081,083,845,499,916,523,189,324,483,415,199,
459,901,120,706,735,211,696,469,865,482,547,992,725,357,369,885,120,861,271,
791,132,252,254,149,825,585,789,098,665,182,001,141,187,641,453,612,633,672,
251,781,708,322,059,860,987,221,712,915,661,071,630,494,809,788,922,708,129,
732,491,336,328,944,997,984,350,232,202,604,766,382,718,713,976,275,968,787,
927,460,096,149,200,152,294,220,698,206,595,545,256,581,685,453,572,044,988,
053,561,584,455,597,785,225,731,172,854,992,494,397,383,087,506,153,385,693,
524,975,308,357,892,268,347,742,055,222,142,873,857,050,139,088,793,690,718,
798,332,466,150,741,651,105,915,517,834,969,101,599,569,793,562,506,074,142,
251,759,903,965,332,350,888,919,815,560,255,006,387,611,752,130,277,626,566,
537,120,082,324,798,555,328,791,924,800,223,312,905,499,547,371,557,406,565,
492,094,717,786,372,780,308,338,077,142,375,226,588,390,493,741,879,642,971,
354,592,541,545,410,098,341,364,010,132,555,188,629,608,101,949,017,718,946,
198,290,856,883,539,949,583,595,862,217,850,494,368,133,878,567,664,462,508,
165,724,396,974,770,676,964,660,837,823,363,476,812,593,471,076,658,940,179,
952,408,013,829,110,090,729,244,291,864,345,235,527,578,153,316,840,313,314,
459,145,338,054,412,949,939,375,986,617,170,819,604,506,663,967,316,648,378,
803,766,609,092,661,484,221,905,489,037,655,299,094,284,657,451,209,320,430,
509,880,470,970,228,414,566,039,391,048,187,434,042,916,682,827,809,942,466,
245,675,002,050,455,217,114,806,817,157,359,753,614,628,614,081,898,724,773,
735,533,235,919,573,234,349,723,323,594,215,305,550,704,462,942,935,285,799,
540,854,506,348,981,649,700,716,650,728,639,148,157,513,479,345,628,612,571,
559,736,899,688,462,013,206,011,056,622,755,783,482,683,869,961,532,685,378,
805,359,453,957,841,143,947,202,772,236,302,278,590,182,822,445,268,410,298,
270,351,545,215,317,983,347,665,938,971,055,798,047,120,972,276,745,641,570,
235,612,596,920,668,483,625,353,921,167,732,529,849,681,141,102,816,321,439,
615,222,929,359,901,051,088,395,036,647,630,297,021,002,781,389,627,318,583,
784,470,469,397,014,788,939,227,541,840,347,928,705,994,909,325,815,859,890,
082,664,982,643,649,578,094,543,874,424,811,373,105,980,044,598,543,001,406,
547,697,388,298,598,257,632,879,633,897,446,023,075,270,584,539,166,838,527,
820,585,070,742,019,636,707,766,105,353,267,308,212,153,513,933,253,442,343,
170,674,744,699,774,952,932,411,291,088,008,454,649,852,495,644,796,274,341,
694,524,407,828,035,946,483,214,201,932,576,544,820,363,451,830,119,898,794,
516,006,704,220,168,685,918,544,050,331,499,390,697,411,767,361,948,364,383,
649,271,811,635,584,050,903,760,151,280,355,212,113,109,319,964,787,340,620,
754,580,113,615,626,846,326,908,155,047,426,120,501,298,053,348,352,047,607,
338,721,675,704,792,605,103,051,725,797,219,950,463,241,052,108,660,077,986,
632,288,551,496,059,925,455,367,237,118,520,067,796,509,943,747,039,753,950,
394,953,079,903,541,254,331,890,012,955,027,941,139,144,888,147,871,026,215,
110,957,608,941,769,546,825,582,140,308,106,642,123,336,212,535,061,953,114,
840,956,006,990,740,044,138,657,141,296,591,524,858,416,784,890,861,669,156,
049,003,178,709,771,226,225,941,791,368,784,069,345,026,497,415,839,979,415,
005,772,073,602,872,792,298,947,907,824,450,854,703,845,519,642,100,953,400,
914,545,681,588,129,467,462,800,341,419,901,829,027,646,353,099,467,797,030,
007,683,204,160,227,419,721,785,788,562,752,607,040,247,186,256,670,445,668,
163,020,078,165,610,782,355,193,878,184,902,971,322,998,787,982,988,206,596,
307,457,642,634,568,171,656,887,415,941,939,282,095,399,142,142,045,195,676,
131,108,276,871,851,266,745,470,461,941,576,203,743,329,281,103,459,141,013,
648,624,817,710,893,133,096,869,276,948,221,773,271,520,381,660,281,060,806,
681,819,413,362,171,590,210,167,452,530,806,189,515,393,619,200,979,200,036,
087,760,285,233,202,679,280,514,715,156,316,714,006,787,490,610,246,673,222,
505,498,679,438,920,259,186,946,276,200,011,933,923,744,756,940,616,248,792,
543,627,446,060,073,985,081,459,925,750,086,725,566,496,658,854,575,747,933,
727,358,473,942,885,548,272,388,355,015,136,607,715,861,394,708,998,670,743,
722,046,383,507,387,185,972,548,582,177,551,322,654,377,614,439,151,805,789,
514,538,118,494,969,023,038,948,302,252,971,680,343,393,526,274,853,262,458,
639,460,163,333,656,226,707,943,289,028,021,607,257,959,054,519,580,539,801,
536,104,412,923,001,095,570,096,693,920,424,189,400,305,601,484,493,390,603,
328,290,696,853,972,583,025,894,656,497,481,072,017,296,308,530,408,653,829,
332,475,893,770,719,854,926,385,486,680,441,602,491,446,562,435,102,351,552,
686,808,960,920,803,827,626,948,826,001,959,625,961,770,588,162,215,922,352,
547,604,404,971,318,987,418,924,184,724,769,604,468,117,010,625,096,132,444,
887,548,204,927,510,915,516,338,539,936,467,480,283,486,143,740,707,454,396,
398,528,943,901,324,256,077,582,355,830,470,203,476,944,876,208,037,826,623,
566,227,679,460,971,390,923,932,013,538,616,593,368,071,233,374,193,980,627,
191,534,931,737,316,920,997,830,309,925,142,860,798,276,619,483,891,259,607,
997,112,850,140,909,749,558,492,075,078,068,868,917,141,647,988,839,092,651,
737,460,724,750,710,000,228,707,796,200,283,857,015,546,561,277,989,453,422,
336,846,225,433,596,691,623,884,647,768,780,477,899,665,136,760,698,988,968,
932,891,093,007,416,170,602,147,413,134,565,357,778,602,549,368,275,172,178,
586,935,460,247,542,561,483,731,752,486,881,999,312,216,379,602,721,792,611,
952,435,227,093,560,305,411,574,982,884,935,708,351,562,998,887,346,518,190,
107,710,656,009,485,320,569,524,925,195,996,461,937,187,302,194,776,042,590,
956,303,259,831,942,366,739,354,885,177,393,688,127,034,165,793,036,996,382,
361,663,880,333,939,923,855,395,814,081,700,321,242,460,505,139,295,337,704,
369,767,077,568,470,005,093,833,675,203,986,923,727,383,124,651,588,042,366,
251,073,245,395,205,732,780,642,087,607,533,169,965,384,404,845,797,863,999,
280,142,274,634,665,505,772,122,366,090,067,261,705,333,170,912,029,840,836,
193,172,937,483,166,343,578,028,619,580,012,986,233,377,805,493,962,046,665,
937,606,998,028,631,073,997,720,371,156,285,704,291,369,590,070,128,006,213,
858,189,147,459,633,416,023,801,658,469,104,029,486,010,463,933,460,187,966,
469,564,559,471,620,178,263,125,487,523,618,653,567,977,923,318,383,286,847,
404,728,858,954,713,728,600,639,489,735,603,539,009,434,176,132,228,603,832,
960,513,899,581,404,890,288,225,057,419,065,231,903,399,978,218,049,183,589,
241,355,881,043,360,196,639,644,642,111,187,603,026,498,656,948,729,315,232,
173,600,764,729,228,677,898,280,464,371,161,983,303,510,674,657,652,386,809,
717,746,684,739,582,789,063,689,039,591,585,796,022,497,575,242,534,729,563,
758,239,536,767,252,696,763,729,060,761,206,468,435,433,215,599,304,303,607,
164,702,190,831,553,975,206,672,137,221,991,673,365,244,841,726,733,080,184,
751,246,898,014,152,388,084,112,379,481,523,671,023,463,424,459,672,996,913,
023,496,310,829,252,107,397,497,715,987,710,501,017,958,715,223,572,008,930,
269,746,184,986,187,888,220,129,965,847,647,270,710,581,779,926,533,487,993,
569,472,569,508,540,759,155,481,645,433,729,750,960,132,146,484,155,108,934,
328,344,819,826,879,920,714,633,547,472,286,939,253,499,840,139,351,910,120,
720,037,452,875,524,912,897,978,790,088,793,741,455,963,681,512,478,034,945,
303,372,154,834,557,059,964,530,336,255,579,973,937,567,768,896,899,068,370,
508,787,860,684,158,803,536,967,117,177,551,503,849,953,315,510,633,635,832,
330,685,950,303,760,838,088,110,454,134,749,174,414,616,950,681,972,214,350,
114,505,632,236,085,619,709,846,252,515,432,581,248,661,302,976,684,554,494,
863,376,136,384,505,623,594,090,662,171,965,337,500,575,264,139,118,129,996,
387,836,021,107,946,290,495,968,774,276,315,899,371,657,229,942,113,072,498,
982,094,080,701,921,370,370,300,517,366,378,224,644,474,999,647,160,102,595,
386,989,523,745,494,785,698,087,155,823,140,650,490,205,986,918,973,622,806,
067,455,726,307,500,600,805,012,470,746,456,593,774,308,446,218,106,694,421,
295,960,606,734,737,471,721,793,589,216,345,339,331,147,171,473,560,795,494,
799,604,395,796,125,243,647,729,540,499,969,363,596,641,894,807,866,810,893,
535,499,139,670,023,140,858,229,457,812,507,910,414,654,572,497,390,027,104,
839,949,876,255,500,695,437,006,883,222,272,408,588,623,608,102,133,050,526,
301,064,845,941,726,411,190,779,119,786,848,619,383,985,331,779,361,471,289,
260,180,255,592,069,799,626,584,661,933,936,673,875,573,649,332,404,332,371,
309,167,735,831,613,998,548,946,184,926,606,643,135,922,550,625,979,215,441,
821,967,290,347,207,590,463,291,151,848,051,756,080,952,746,409,204,709,123,
505,737,012,806,196,320,072,811,086,771,063,213,308,727,285,541,286,204,701,
822,875,848,755,767,081,261,178,824,819,533,893,879,160,811,709,948,107,129,
008,809,730,883,183,773,806,507,490,177,670,030,308,007,896,435,274,044,217,
882,601,903,468,957,895,964,148,013,364,080,508,454,946,846,009,155,207,921,
017,865,020,807,693,616,491,705,767,181,462,610,031,710,586,459,373,682,740,
318,723,741,290,371,954,008,731,135,663,795,144,005,633,833,133,899,793,283,
701,747,430,249,212,082,794,790,860,932,671,426,439,270,829,547,538,539,213,
786,911,790,029,263,895,437,677,485,212,520,637,672,438,232,355,744,171,031,
333,152,477,001,516,029,474,490,311,313,757,583,560,244,143,920,205,369,962,
692,515,529,206,247,500,089,961,843,344,044,689,399,222,992,411,419,623,794,
394,029,449,602,054,470,469,574,881,880,603,867,981,904,955,972,107,378,858,
166,175,203,453,561,677,758,571,404,156,957,213,954,832,937,642,816,649,898,
358,842,685,450,193,236,416,064,539,632,952,316,249,114,762,106,649,779,111,
833,408,942,816,339,277,531,939,482,865,311,432,220,423,190,332,704,323,400,
302,024,611,256,571,609,473,334,461,569,479,567,986,286,545,393,814,962,334,
436,288,330,579,022,769,133,870,412,473,569,655,909,569,446,166,897,441,250,
027,909,810,288,792,273,147,027,591,573,970,597,300,380,342,605,584,971,015,
982,808,920,543,623,080,138,506,826,976,779,694,936,436,485,978,891,547,196,
871,895,495,523,646,345,669,844,826,355,718,712,209,485,902,864,148,041,675,
740,431,432,492,671,069,527,162,593,820,343,017,895,708,327,216,273,299,087,
085,345,957,107,903,174,776,801,568,843,128,296,886,588,042,804,264,268,139,
884,552,182,001,889,838,401,091,367,932,883,292,668,122,261,720,930,139,363,
750,400,384,833,186,420,845,273,471,300,316,343,726,070,370,038,763,589,531,
239,435,410,540,273,324,651,084,724,848,653,901,428,570,486,995,225,850,218,
393,230,937,279,141,405,896,833,451,549,172,841,629,235,443,805,749,861,606,
884,844,462,142,098,045,761,865,254,119,483,541,920,091,610,613,501,849,355,
822,801,535,877,449,513,947,691,946,747,516,720,260,817,739,307,189,964,215,
220,264,216,594,080,654,637,808,853,194,087,406,555,997,136,972,893,960,731,
977,534,260,618,848,998,799,390,480,626,587,412,187,511,950,056,402,209,582,
712,212,330,476,191,640,004,824,061,306,022,731,895,560,507,426,885,782,440,
650,694,781,396,120,806,795,290,004,270,274,678,704,808,547,797,303,059,205,
337,864,688,381,137,036,979,555,596,962,528,388,339,575,290,051,383,379,575,
815,413,485,933,136,454,727,090,886,520,610,772,563,287,576,977,111,376,073,
251,495,360,623,490,928,903,468,545,149,765,718,139,863,861,686,204,612,165,
462,585,484,151,804,093,677,856,945,744,267,687,082,371,778,408,341,538,909,
129,994,954,145,441,619,405,067,351,736,905,499,280,648,849,337,936,500,787,
200,895,335,942,524,056,893,360,887,948,422,776,110,283,026,580,433,038,405,
838,376,746,250,969,312,934,045,226,527,303,251,104,225,248,365,451,269,694,
164,941,400,212,604,314,437,525,314,418,222,336,249,660,781,234,761,204,097,
542,576,893,798,483,653,707,395,516,487,558,285,189,803,733,027,910,232,560,
278,780,380,060,766,101,269,766,972,018,476,223,419,198,693,093,040,569,382,
451,336,932,236,557,760,545,250,199,492,806,182,245,258,710,396,580,900,261,
264,043,276,290,040,454,866,693,974,721,329,647,588,322,724,226,951,406,282,
263,075,681,592,014,246,839,307,925,186,401,112,821,565,088,764,219,151,491,
721,138,687,667,498,543,635,896,624,677,751,942,373,022,538,029,555,332,835,
962,631,786,990,188,837,540,927,440,284,757,446,700,498,660,492,052,432,972,
966,040,791,394,352,120,828,066,946,200,298,091,355,451,982,394,768,680,433,
648,041,324,765,323,816,199,783,305,696,153,567,897,489,671,548,534,721,843,
713,657,024,103,866,242,501,224,216,615,533,999,246,449,759,181,451,862,450,
115,709,256,490,975,732,111,190,418,989,099,687,488,605,727,444,568,334,318,
597,534,676,967,299,414,574,937,403,888,268,651,656,975,168,681,906,640,775,
441,627,466,303,749,393,624,882,889,139,074,515,221,014,548,030,843,090,247,
373,251,414,967,025,507,731,574,296,171,576,256,516,819,895,447,348,235,998,
109,830,409,241,351,956,008,470,153,704,199,469,682,825,123,250,042,880,419,
992,503,346,366,848,876,849,173,077,536,604,886,338,861,887,143,262,599,303,
931,443,034,345,297,671,359,481,552,022,490,091,925,986,521,822,086,110,933,
972,034,637,123,128,405,844,856,616,987,765,770,740,586,194,452,759,903,930,
380,142,976,939,742,827,793,304,281,061,164,608,178,974,531,711,894,288,404,
699,560,532,233,113,267,165,299,994,639,367,349,553,324,568,994,320,507,837,
938,884,864,808,646,700,848,686,743,909,796,169,174,639,184,748,658,055,302,
159,527,942,465,626,261,971,758,899,534,985,372,100,745,728,418,956,795,185,
340,955,918,741,076,297,195,040,865,559,417,055,479,105,356,456,257,723,489,
675,951,645,771,413,230,922,255,280,947,769,208,947,088,157,148,689,263,668,
406,789,207,043,220,126,875,458,344,392,257,672,005,038,990,984,186,401,080,
551,986,339,642,777,262,417,144,809,410,152,392,486,954,912,991,596,136,664,
252,522,731,671,590,430,007,780,601,263,079,634,255,379,694,112,765,275,064,
711,001,979,695,778,570,313,931,037,230,612,083,767,172,539,088,775,035,312,
277,800,816,644,482,936,394,040,929,451,392,382,657,230,555,645,028,211,913,
594,976,156,985,250,870,115,586,836,714,290,048,475,879,047,484,438,975,159,
988,603,088,865,564,759,619,438,864,638,286,063,211,729,842,666,470,427,830,
847,564,155,685,185,424,754,812,787,342,432,655,619,637,967,180,994,086,693,
118,031,851,270,525,126,579,562,431,970,569,610,993,458,928,294,027,268,645,
139,479,972,768,792,315,138,838,150,416,320,806,024,794,504,390,768,077,622,
090,738,245,311,265,743,453,943,166,889,431,259,957,591,908,048,405,345,838,
261,661,863,395,244,211,941,626,398,081,198,315,904,142,630,847,923,214,570,
004,391,988,333,420,767,302,568,284,701,681,440,874,773,769,465,285,160,598,
473,852,966,450,522,824,654,743,080,943,322,740,211,448,566,545,655,678,009,
514,309,373,774,931,141,555,488,233,695,941,375,079,403,255,744,060,284,688,
645,997,339,889,049,919,734,791,606,396,935,724,193,253,664,425,552,356,885,
955,754,868,729,358,715,007,538,625,757,693,001,266,417,946,521,829,044,628,
283,948,450,079,879,370,829,338,204,355,393,561,733,767,483,256,531,683,698,
107,955,209,116,560,744,756,005,269,287,010,605,832,543,819,350,467,601,467,
658,769,900,243,373,884,803,178,992,448,564,553,045,442,716,942,600,424,814,
542,217,188,005,301,805,015,517,818,817,192,166,376,903,231,884,675,478,881,
485,343,671,797,402,382,738,005,594,358,284,167,465,360,742,570,920,115,938,
032,476,285,051,041,563,972,859,467,032,017,424,561,662,471,840,479,226,780,
732,559,956,533,558,802,602,128,111,211,043,090,366,634,269,189,433,032,971,
994,651,647,898,481,459,918,468,884,722,529,930,156,324,191,050,695,197,330,
308,105,026,167,725,562,438,754,413,664,915,875,866,380,303,996,449,468,226,
195,638,634,014,616,098,674,666,091,290,648,916,310,033,583,380,793,236,627,
129,911,071,206,189,717,519,897,441,928,673,171,665,104,214,829,148,589,965,
870,776,332,318,658,856,360,411,216,714,987,201,232,211,291,927,711,425,723,
136,764,362,898,475,559,046,742,119,542,055,197,361,700,889,051,670,059,408,
716,193,157,819,958,497,206,957,543,182,949,613,774,205,838,747,334,466,574,
420,573,980,881,756,252,233,388,037,666,102,277,074,177,317,748,659,714,447,
502,539,302,382,088,309,682,482,227,361,297,064,584,165,843,690,771,792,846,
705,832,714,922,072,193,731,577,968,772,842,249,123,246,417,741,254,395,917,
357,405,926,768,922,282,264,609,532,807,289,180,391,908,618,929,534,681,407,
524,993,364,431,801,819,759,643,664,985,681,066,660,772,232,215,783,393,809,
317,657,815,319,804,610,211,638,095,742,631,167,314,933,105,349,128,992,392,
958,272,257,807,473,847,475,856,153,192,751,675,690,747,542,229,675,425,312,
501,754,768,428,378,025,050,718,062,128,618,549,031,258,547,361,460,917,828,
893,473,711,063,864,592,375,092,464,779,043,918,094,338,378,523,568,741,866,
629,921,039,396,779,321,932,724,690,716,044,936,586,091,248,422,929,741,500,
383,312,484,010,223,529,004,441,008,042,538,059,197,151,435,875,795,413,589,
152,223,546,361,724,871,265,322,180,917,303,388,869,060,704,320,948,337,416,
473,445,171,707,470,864,486,530,008,513,835,660,608,316,161,566,654,134,462,
758,031,210,142,590,676,967,656,885,624,513,095,463,707,096,819,843,457,971,
190,710,557,270,679,515,626,409,391,169,484,888,099,787,623,070,529,494,269,
518,722,777,478,291,319,331,732,177,847,244,647,633,162,175,092,117,762,854,
428,209,620,522,071,088,369,028,886,371,716,832,954,818,035,501,006,295,309,
137,103,483,938,739,262,687,880,376,106,225,470,513,654,526,193,134,424,729,
365,772,199,715,361,678,958,898,890,035,466,889,462,266,722,707,636,324,232,
156,535,924,064,416,707,445,621,469,187,313,569,110,855,785,659,944,168,237,
041,989,307,531,760,056,723,336,641,373,077,995,271,182,159,624,583,153,165,
696,127,146,617,919,045,446,513,104,571,135,972,246,305,058,307,261,296,348,
389,987,092,666,876,363,328,597,430,245,769,421,850,518,911,767,697,992,205,
949,848,167,154,794,352,186,590,864,523,109,975,383,207,238,467,437,360,669,
893,336,315,492,857,015,123,658,368,824,299,546,528,189,868,201,019,161,519,
024,642,042,380,721,131,130,947,919,704,703,687,905,880,925,549,071,201,447,
306,260,486,249,201,490,936,991,592,225,514,731,982,059,320,533,996,254,642,
397,764,200,740,743,900,369,164,758,338,338,607,048,282,670,385,989,708,713,
605,747,629,546,426,313,090,545,913,465,630,828,622,124,131,606,541,485,228,
853,092,386,769,204,050,516,871,825,166,244,050,971,899,164,528,125,085,676,
440,777,380,535,543,980,479,353,992,421,408,506,041,573,860,205,742,902,266,
887,232,124,749,464,194,404,514,618,043,894,079,892,643,437,110,851,262,864,
939,456,468,948,859,199,010,569,449,048,082,078,941,686,039,512,130,404,344,
232,839,635,025,612,631,431,310,662,915,362,304,188,137,362,108,700,433,949,
417,231,565,346,575,259,544,547,403,260,710,493,977,911,152,796,319,707,402,
509,773,888,657,089,736,101,471,251,861,966,473,425,456,755,404,399,847,534,
222,772,881,106,894,689,244,251,639,444,550,377,102,969,405,961,292,773,574,
951,873,215,383,327,881,130,743,108,949,437,933,133,601,012,889,585,931,689,
280,335,704,275,390,772,709,074,099,121,339,857,772,811,690,842,081,719,947,
119,834,826,874,889,454,850,924,327,730,120,017,219,711,075,040,484,552,609,
715,880,095,811,968,856,698,766,928,000,641,610,353,253,962,824,477,829,837,
704,853,944,799,681,181,902,092,479,772,457,586,565,605,973,654,994,704,804,
418,920,399,687,187,723,214,909,751,059,943,811,001,155,195,682,133,170,344,
958,185,735,482,429,310,599,683,715,657,188,909,119,271,272,951,645,399,701,
584,363,538,346,964,620,274,409,022,279,421,829,450,909,364,719,257,481,143,
038,361,928,581,388,993,348,631,876,204,366,298,467,458,168,400,127,088,441,
138,771,992,857,656,150,064,499,669,374,912,235,217,971,415,453,777,371,241,
950,680,234,940,380,533,878,377,125,682,944,519,618,959,513,333,401,026,750,
720,305,903,754,489,808,267,815,148,851,958,124,060,080,575,339,014,328,896,
853,517,255,810,367,351,868,106,991,651,920,207,103,043,325,203,490,428,396,
205,459,046,135,713,921,253,246,697,200,297,732,966,612,434,339,690,015,420,
061,409,125,948,397,885,219,645,149,590,305,717,184,021,319,764,668,226,174,
068,665,777,166,714,929,296,422,009,050,343,900,759,386,344,226,942,951,961,
067,855,450,449,943,765,299,613,231,949,013,283,898,100,571,157,850,937,171,
961,085,174,442,103,068,863,490,729,364,571,621,300,977,969,878,167,012,377,
469,340,427,577,633,086,891,928,358,248,415,011,196,347,234,587,278,952,322,
705,514,096,907,233,890,927,038,087,093,669,156,977,997,420,495,722,437,566,
605,789,041,953,702,648,833,896,109,447,485,880,458,833,200,081,407,708,332,
819,493,701,188,797,634,641,797,350,904,100,389,451,781,281,735,434,025,732,
603,690,638,546,605,689,026,221,462,333,346,630,513,592,929,657,060,089,506,
126,185,346,605,915,795,640,317,102,791,803,060,376,997,583,288,732,325,872,
364,515,393,812,720,214,867,892,189,421,248,794,883,068,772,539,652,901,236,
405,795,975,469,203,537,651,448,929,460,035,765,258,319,091,473,716,294,486,
157,054,514,487,269,603,515,624,176,039,031,565,472,119,373,556,799,972,032,
095,684,425,194,330,936,418,483,369,275,652,106,462,274,958,104,314,301,419,
041,786,818,249,064,390,865,331,985,737,178,350,668,306,137,444,351,920,427,
515,681,993,730,962,331,653,370,577,833,420,280,365,345,176,615,437,119,926,
419,102,612,736,704,519,423,474,469,646,927,016,447,353,884,639,564,757,402,
019,521,701,786,695,395,146,594,527,825,920,908,970,655,225,927,132,921,734,
391,727,373,157,882,801,208,718,977,226,249,447,525,562,964,719,881,467,748,
834,195,577,450,687,680,768,685,215,245,314,932,024,901,367,247,300,109,702,
633,295,682,914,044,995,671,814,735,369,885,451,537,596,698,599,201,850,177,
379,505,135,254,604,172,121,701,360,942,410,438,231,786,069,195,050,184,515,
127,446,018,834,109,113,816,441,966,174,155,316,156,954,246,248,510,242,068,
298,482,418,458,862,661,700,793,045,351,640,202,201,791,830,583,171,215,624,
957,432,511,699,391,551,689,759,554,113,910,476,802,390,040,451,264,763,120,
468,505,357,226,648,547,561,494,262,616,601,889,215,936,771,638,053,885,236,
011,716,349,888,570,552,913,197,909,310,221,145,764,027,925,469,412,375,103,
555,678,462,489,546,938,790,678,287,538,235,780,343,102,592,455,876,422,909,
275,261,175,658,934,418,656,434,845,791,631,433,593,075,606,539,516,569,883,
815,334,804,051,830,951,038,073,925,856,474,076,691,815,222,790,817,523,014,
173,367,667,820,480,901,354,250,569,079,065,691,603,881,225,357,838,931,738,
794,864,932,948,747,390,908,599,759,837,226,856,956,696,149,853,955,453,685,
896,547,085,111,162,434,541,876,602,577,377,739,970,148,096,728,480,177,952,
457,875,339,791,765,976,644,217,402,445,929,115,859,364,558,349,067,742,601,
246,282,010,208,413,286,707,148,009,209,407,525,393,323,760,375,638,499,317,
301,524,793,738,581,769,139,755,186,723,170,712,510,400,936,686,601,857,428,
682,017,391,309,550,800,740,235,251,319,353,907,782,533,597,546,766,701,770,
054,704,724,529,968,074,705,159,904,746,169,378,377,489,730,069,527,742,008,
952,017,722,939,170,072,017,676,790,236,285,142,506,333,661,762,544,163,699,
998,246,087,525,527,294,589,627,977,007,325,797,710,253,273,624,162,576,891,
211,528,384,803,656,434,498,211,580,027,975,921,666,523,230,264,811,210,216,
969,697,803,759,250,594,972,976,446,079,493,480,146,947,804,606,136,234,382,
186,477,187,543,434,455,336,403,179,152,174,945,415,162,968,394,974,274,683,
646,377,526,701,172,748,125,532,371,583,833,048,617,513,831,068,974,631,240,
421,441,738,672,049,966,994,067,412,380,411,479,851,111,436,528,446,311,611,
422,040,844,157,456,409,948,292,723,377,216,277,032,786,677,943,549,972,712,
258,366,088,036,265,376,726,869,424,343,407,490,986,999,718,575,301,406,567,
931,741,259,647,599,636,415,328,944,784,738,122,501,040,715,543,754,563,077,
230,240,647,198,952,770,671,646,391,659,239,008,898,275,377,162,209,856,588,
712,192,906,227,185,305,828,738,689,923,734,851,377,556,737,883,109,914,655,
445,655,754,957,000,897,211,087,337,872,918,961,575,022,607,770,955,702,136,
769,522,333,398,025,656,912,499,936,498,650,261,794,453,685,026,788,792,440,
066,727,087,127,017,038,663,460,565,704,489,692,231,659,560,844,382,345,171,
778,509,286,781,185,275,682,814,458,086,413,796,248,443,908,969,234,298,522,
572,514,875,782,729,199,000,270,228,613,338,102,209,166,357,027,735,192,269,
748,848,581,475,103,461,863,137,009,380,672,912,969,091,539,867,766,461,444,
209,111,010,132,572,032,334,045,532,166,777,812,633,242,762,185,474,321,062,
982,018,017,047,536,031,274,327,953,307,060,740,677,474,441,681,625,756,368,
047,228,284,790,196,995,062,469,931,562,432,962,592,506,934,130,280,457,803,
692,293,426,851,263,877,996,423,376,683,351,924,989,942,060,786,315,492,243,
030,534,653,677,433,544,761,582,752,344,064,015,919,063,738,017,026,593,913,
699,249,483,791,777,211,943,984,239,383,688,035,907,647,558,419,415,011,016,
736,378,323,647,362,099,179,545,226,493,107,840,264,518,440,936,254,719,855,
132,726,826,034,840,074,828,056,240,729,286,415,700,903,522,780,006,726,274,
160,941,478,137,086,721,156,792,577,054,021,332,160,698,452,047,326,620,519,
867,188,734,883,665,870,990,640,704,794,249,973,456,552,496,630,957,260,254,
346,464,465,763,918,467,355,371,333,091,384,724,511,579,369,336,725,107,887,
199,152,441,794,391,443,468,717,628,420,034,901,629,738,875,537,208,814,848,
336,288,499,162,080,927,945,861,307,871,650,345,170,805,237,237,400,625,551,
879,660,192,546,658,192,788,550,039,524,186,618,511,529,834,634,931,879,016,
490,894,276,089,944,378,544,890,557,192,042,075,252,643,375,174,066,733,091,
142,095,594,862,983,610,977,427,929,714,054,105,529,312,688,422,320,548,180,
938,929,140,525,847,359,616,756,370,016,434,330,443,566,204,864,192,908,914,
268,086,098,761,436,004,677,018,771,286,955,285,474,388,630,261,092,264,761,
229,956,389,313,349,049,055,742,045,481,283,987,835,583,115,209,637,727,422,
673,987,221,229,364,492,315,104,948,854,693,669,444,353,070,260,611,118,194,
793,623,645,338,017,450,393,464,754,554,178,942,898,111,010,094,045,671,480,
090,487,603,988,409,994,123,887,848,225,769,294,732,741,686,759,403,591,319,
102,668,998,501,110,630,992,688,372,948,189,700,864,368,948,555,986,135,165,
268,351,395,793,266,855,711,238,928,813,935,350,665,415,038,546,369,766,910,
006,525,929,234,337,751,802,315,347,931,977,865,612,411,894,511,686,819,280,
524,421,863,897,599,801,649,144,337,090,152,696,394,375,483,950,758,640,800,
645,295,642,185,851,468,146,321,583,036,611,945,373,107,287,227,578,654,483,
860,443,638,659,698,400,292,725,381,518,486,322,410,085,328,134,612,995,686,
264,255,379,399,000,615,044,628,741,682,915,334,171,677,075,254,592,175,093,
721,817,752,659,603,093,168,541,332,281,011,181,663,684,191,428,968,116,340,
734,647,261,265,300,532,330,702,152,598,179,234,669,203,886,822,046,315,681,
558,086,277,742,640,117,483,859,790,164,881,836,635,804,711,994,960,928,534,
225,192,968,518,272,469,401,946,799,407,512,128,817,646,437,541,408,974,611,
789,505,040,718,061,865,196,810,078,389,311,345,121,775,217,908,716,135,687,
914,361,504,350,453,801,478,422,035,327,442,270,566,804,545,067,919,217,701,
360,409,635,939,877,499,879,529,607,509,731,467,857,080,822,305,197,775,879,
313,711,577,879,089,212,444,027,094,816,188,101,062,392,672,446,616,055,278,
841,574,605,771,041,413,025,797,324,141,259,714,296,461,403,630,567,782,581,
435,540,424,244,451,554,964,785,159,683,710,482,092,292,566,497,882,639,929,
064,492,846,883,935,682,041,365,340,517,518,520,041,643,342,605,167,011,813,
149,461,626,577,751,668,201,314,458,096,934,357,807,928,587,606,360,065,190,
729,726,423,878,043,061,387,835,735,968,461,112,887,626,330,994,520,996,830,
520,314,789,874,059,116,517,342,221,018,400,662,127,446,039,651,204,402,732,
788,510,757,856,681,312,989,038,201,790,113,124,988,636,135,829,761,189,466,
741,986,951,185,504,281,416,005,820,116,856,446,556,396,938,065,169,121,246,
234,843,775,218,080,188,358,072,265,186,430,419,175,893,024,271,509,261,363,
008,667,416,100,291,744,058,384,076,814,782,664,844,465,663,283,860,560,520,
051,845,705,203,510,279,331,726,333,406,806,607,893,634,124,823,704,178,067,
642,632,115,799,692,668,080,439,450,589,873,525,169,746,905,169,973,922,176,
412,146,026,568,228,207,416,038,866,448,059,060,473,638,942,966,125,653,677,
095,301,337,605,524,707,884,949,736,040,316,894,374,836,085,879,546,162,555,
903,234,674,831,314,053,560,072,779,980,496,594,745,372,014,398,193,805,409,
106,020,566,994,711,588,314,418,938,754,617,767,841,606,939,478,682,770,200,
033,168,403,093,416,981,188,779,373,628,759,119,547,218,336,138,600,097,989,
939,544,596,773,669,989,978,847,986,221,410,899,244,760,359,144,647,348,998,
183,969,939,240,312,780,590,007,220,364,157,747,192,492,350,319,262,495,163,
192,358,438,376,514,893,623,053,911,350,486,948,361,192,197,097,088,810,630,
558,951,742,939,922,349,128,239,643,778,057,441,410,432,041,570,908,630,788,
427,239,488,222,892,337,705,472,403,084,656,986,266,074,895,331,608,184,758,
459,969,729,807,799,775,805,229,572,440,575,060,555,546,309,079,796,398,101,
178,909,676,897,172,982,826,740,580,867,035,739,124,067,248,756,182,021,727,
052,321,030,706,272,672,166,462,122,620,531,718,027,831,479,269,741,268,663,
380,764,802,111,366,319,448,882,229,119,581,214,168,333,477,021,263,832,969,
598,343,478,554,143,764,805,897,091,337,635,829,813,274,893,046,758,095,613,
440,749,472,291,273,644,554,729,527,157,272,003,175,651,017,062,310,051,327,
579,138,263,354,600,647,879,338,211,140,709,964,851,289,762,512,884,979,097,
935,668,850,969,065,365,846,086,585,746,758,871,901,928,757,033,967,464,509,
145,764,771,746,490,783,099,483,885,566,113,233,544,522,549,296,077,876,174,
988,080,626,188,189,174,026,853,604,985,438,809,889,674,292,851,732,350,639,
874,852,016,272,196,503,329,059,997,021,759,480,004,936,050,969,184,152,697,
781,379,816,618,116,520,706,735,838,517,906,128,969,277,538,160,887,255,578,
109,741,105,807,480,817,992,867,323,686,759,698,610,091,994,933,076,932,065,
774,629,326,481,892,266,135,419,131,907,438,352,082,721,508,884,675,922,741,
732,689,213,002,751,377,602,428,909,271,449,528,750,862,211,592,338,261,269,
504,953,553,466,908,062,150,134,396,862,070,900,975,392,170,140,343,281,120,
976,512,284,503,222,319,272,732,374,418,069,106,060,259,026,305,763,329,290,
533,564,257,483,435,660,001,208,572,598,224,194,658,221,696,373,854,137,849,
144,246,876,748,374,672,594,863,034,333,184,033,654,931,874,030,796,510,593,
059,269,217,261,305,617,131,700,413,595,738,490,250,526,366,319,793,852,906,
045,451,393,144,874,892,792,970,726,385,844,416,574,799,582,294,810,819,951,
139,832,332,304,008,186,648,528,750,662,183,107,827,380,599,959,216,781,529,
408,786,809,486,104,117,870,645,129,992,399,508,909,175,865,304,792,608,838,
596,797,779,435,259,516,254,975,813,679,849,920,140,658,130,894,965,690,827,
877,306,032,106,301,448,142,986,142,407,767,039,268,636,365,571,069,768,750,
910,750,833,293,608,042,312,217,686,044,722,747,389,758,777,902,578,600,818,
540,656,484,823,646,435,007,642,883,374,133,171,564,636,425,558,193,034,836,
049,574,992,099,744,610,732,762,606,508,447,942,725,892,825,287,909,723,611,
493,088,848,965,264,105,281,404,765,313,546,338,063,568,541,894,145,959,515,
130,956,718,581,895,084,271,887,455,632,305,820,390,306,690,733,020,464,930,
109,563,195,346,963,710,777,598,166,619,819,812,707,745,203,700,798,092,853,
172,628,117,976,831,681,399,790,478,723,550,876,034,992,379,680,710,148,106,
977,641,264,775,091,839,581,205,182,478,104,881,273,986,794,208,959,690,588,
305,496,092,901,778,134,197,312,670,745,730,459,430,236,599,301,948,145,355,
997,209,256,009,241,622,290,632,851,770,004,464,032,827,949,401,988,184,762,
539,081,402,179,911,313,597,724,750,775,833,243,187,175,256,858,484,905,005,
524,447,629,485,845,839,522,631,186,477,733,444,504,882,946,606,535,857,820,
676,302,043,802,665,310,601,695,535,106,401,310,957,584,945,326,338,145,995,
739,757,299,559,827,430,630,656,531,631,947,017,276,329,122,683,472,297,594,
647,725,528,516,190,730,796,341,720,471,636,402,157,456,355,618,261,761,906,
687,557,115,432,905,174,489,407,278,729,283,040,323,952,851,654,544,744,902,
270,985,418,746,559,612,161,286,211,487,794,495,374,866,624,940,103,295,980,
167,601,271,575,397,541,550,452,518,462,306,442,704,458,380,217,302,088,277,
082,380,011,622,691,985,469,919,397,015,553,758,195,362,935,908,674,620,563,
597,207,122,369,242,412,699,330,593,612,717,967,543,958,262,772,255,747,083,
209,860,754,323,834,250,952,739,285,294,399,020,042,573,793,123,517,420,754,
709,977,045,774,807,902,997,544,557,810,010,829,981,198,166,187,701,168,037,
096,642,465,389,500,118,664,687,913,984,026,649,789,789,439,600,321,198,368,
805,534,223,433,360,029,300,403,340,757,416,453,670,569,817,456,926,654,010,
816,666,370,064,487,369,189,239,802,706,228,357,998,103,551,618,490,022,338,
295,508,817,390,012,666,410,094,541,531,510,653,698,443,439,769,674,407,284,
842,017,850,583,303,548,776,649,561,270,776,174,601,597,537,234,508,768,506,
420,146,374,235,219,068,114,728,503,640,003,156,200,568,677,246,778,741,817,
847,248,638,492,543,689,501,490,920,497,518,680,294,448,767,720,637,058,282,
918,514,175,852,841,475,994,972,944,736,308,697,474,103,646,305,614,126,046,
334,341,616,400,811,168,877,017,424,628,576,203,790,944,374,097,709,240,538,
095,617,129,862,609,002,775,585,736,680,593,754,524,617,152,367,051,367,069,
275,548,219,797,501,818,293,204,235,129,092,683,207,022,354,948,222,160,186,
529,530,003,458,479,703,659,947,238,588,345,140,084,976,034,488,137,867,355,
276,961,449,686,753,713,385,502,176,269,356,594,838,079,489,145,126,546,183,
860,016,708,507,137,931,862,031,892,045,606,143,173,461,277,605,104,950,297,
092,669,072,466,619,045,562,713,908,732,658,166,744,943,838,841,893,349,699,
746,802,215,234,888,632,465,123,759,052,977,040,189,279,556,807,267,108,369,
176,931,349,550,668,918,375,192,325,046,849,439,468,373,570,779,893,787,217,
143,317,052,624,657,841,846,631,339,310,903,335,683,343,541,784,811,105,681,
868,966,021,671,746,919,201,229,611,405,635,591,457,110,697,127,736,781,449,
858,590,324,489,038,326,282,549,952,042,912,154,218,206,062,916,180,832,112,
990,365,773,103,386,861,930,668,993,494,631,049,479,107,011,963,659,967,949,
802,087,687,999,892,502,790,023,765,018,582,723,481,155,667,880,925,360,328,
282,236,647,631,099,984,070,976,840,906,505,690,173,122,388,452,443,933,665,
132,413,312,379,019,082,947,992,176,298,115,159,418,544,260,376,384,958,731,
275,453,308,119,134,480,954,597,075,992,114,789,858,485,428,347,300,585,640,
888,980,583,716,465,380,490,691,363,209,220,528,733,254,177,064,188,367,573,
957,339,529,684,557,476,208,713,983,140,619,139,047,004,705,607,444,120,292,
050,804,211,783,755,904,666,887,162,718,208,165,985,506,958,844,841,879,383,
969,869,035,321,290,073,988,790,467,522,164,129,354,924,356,073,527,122,780,
704,066,051,052,355,431,241,159,335,262,738,451,743,232,425,820,099,271,524,
564,049,812,207,376,120,792,264,368,685,334,568,264,980,058,299,836,532,287,
570,658,224,128,567,295,971,941,908,057,361,775,431,476,216,400,259,419,332,
232,935,883,966,811,014,812,690,691,059,805,966,132,333,682,857,274,728,162,
083,010,947,215,434,387,364,286,861,186,756,496,296,281,335,884,572,981,445,
574,163,190,694,713,831,558,376,579,342,151,808,692,625,756,960,909,217,926,
750,252,636,219,693,003,693,772,601,770,710,329,662,571,348,759,417,308,668,
737,071,246,676,292,973,292,793,073,338,834,501,086,835,681,349,303,848,304,
795,647,034,134,389,645,888,881,371,832,290,418,561,308,588,700,757,117,654,
953,852,069,298,317,994,837,163,723,201,767,445,469,757,963,237,669,719,935,
534,469,742,610,914,153,584,211,943,469,332,191,654,620,517,749,617,404,431,
507,452,923,751,563,190,454,548,893,574,063,967,072,900,866,618,346,610,607,
801,990,268,526,400,091,762,248,606,349,869,690,857,813,666,725,650,092,530,
491,488,771,144,041,444,348,526,399,354,532,543,013,376,449,688,665,092,554,
445,947,078,821,254,802,065,061,712,428,928,323,817,708,629,676,378,183,451,
218,121,248,383,181,730,823,877,834,059,227,297,782,313,215,650,660,001,291,
695,907,402,636,174,296,884,199,434,536,927,526,229,177,913,401,210,279,177,
049,004,281,515,080,294,861,666,839,692,033,847,572,437,021,834,778,351,872,
420,510,966,942,908,910,771,146,103,140,032,294,493,263,856,595,535,701,900,
530,166,233,405,280,005,905,067,093,422,097,440,930,997,085,923,386,805,532,
890,607,149,109,955,855,685,555,508,400,619,960,272,971,357,621,494,500,872,
853,913,251,425,422,105,894,538,250,886,818,269,377,453,704,762,410,448,779,
242,765,855,377,542,112,335,876,945,038,480,127,966,696,140,426,840,146,811,
070,165,244,964,754,961,183,803,379,572,779,447,667,479,454,292,649,305,022,
872,768,478,281,983,701,964,370,051,167,663,572,622,663,483,630,397,502,275,
538,067,175,759,033,882,123,505,013,382,396,995,213,514,273,558,069,012,133,
267,680,851,945,447,608,682,663,658,919,408,986,010,704,749,198,162,520,068,
072,104,547,204,596,156,109,029,664,430,448,359,504,719,145,503,221,186,601,
554,527,964,450,128,064,568,086,184,762,175,439,318,307,602,780,348,336,281,
701,701,865,953,840,148,509,372,451,892,853,772,915,377,586,770,105,222,861,
965,042,340,595,439,652,830,020,805,193,166,760,914,051,444,855,035,295,367,
927,076,583,879,057,154,301,300,529,556,455,157,735,752,637,786,993,936,234,
100,366,171,002,792,987,360,603,898,471,387,046,588,186,794,960,965,940,864,
324,861,116,864,716,096,776,852,293,345,347,579,715,114,881,751,686,715,192,
698,140,710,378,732,640,022,476,114,462,171,969,765,191,828,197,743,607,673,
314,280,418,021,838,765,121,282,525,623,965,557,868,557,070,149,542,310,712,
983,260,816,453,337,957,361,679,111,080,419,392,308,732,694,370,969,786,032,
769,375,246,439,754,592,915,719,711,722,953,117,448,804,134,505,239,698,702,
949,124,760,839,362,663,466,336,780,389,958,481,903,281,118,299,344,946,688,
698,898,180,220,665,613,455,389,208,362,963,035,771,043,326,396,234,282,498,
730,806,460,393,481,110,953,181,281,714,007,970,772,595,706,857,090,977,547,
803,959,229,351,449,887,578,348,582,364,464,933,126,185,710,412,604,884,468,
031,252,900,258,280,466,561,704,047,517,161,199,453,635,621,529,792,027,908,
461,081,163,547,982,184,802,750,903,895,868,640,044,659,465,616,398,003,721,
924,152,143,853,798,742,856,822,451,372,167,456,282,290,515,765,520,230,011,
842,979,925,756,499,242,067,310,228,715,243,769,869,054,170,098,563,407,978,
623,936,273,531,255,705,314,439,930,055,663,220,581,468,256,467,586,211,790,
230,592,395,598,213,622,303,882,235,141,313,310,219,059,771,750,048,459,163,
733,920,906,531,321,240,329,996,774,567,012,108,127,493,821,447,168,145,550,
227,723,019,776,455,081,177,616,838,015,797,504,887,587,493,345,009,696,550,
459,258,998,690,551,468,637,819,688,655,239,527,394,792,677,197,940,211,854,
595,418,913,197,292,154,712,479,492,815,686,851,648,864,122,589,450,705,190,
704,934,323,265,575,794,828,360,724,440,293,398,119,082,479,660,552,037,454,
912,301,109,004,372,904,200,196,305,428,453,758,271,186,827,406,502,080,009,
775,883,349,765,726,931,356,213,495,079,664,612,600,666,771,178,202,028,704,
450,547,786,443,601,469,974,302,491,727,513,713,242,413,646,427,891,884,181,
153,352,994,789,605,945,641,413,362,273,625,958,316,033,206,915,281,897,107,
474,944,735,502,670,823,458,168,613,744,216,467,678,170,572,905,916,863,534,
570,785,959,699,014,041,972,293,180,831,866,397,896,181,389,353,782,404,143,
208,479,729,397,687,223,317,204,542,478,539,504,182,314,469,357,229,594,726,
677,615,133,874,162,754,260,711,516,688,111,525,939,028,216,210,151,475,467,
572,665,768,361,143,610,085,253,533,315,147,008,355,498,225,900,756,650,251,
598,498,632,087,009,234,531,535,417,143,096,921,421,799,823,816,891,222,903,
812,405,853,263,863,804,271,958,144,185,877,696,635,689,812,802,104,443,555,
508,016,724,791,336,652,118,664,874,270,813,262,170,716,004,215,315,515,234,
461,906,979,656,178,100,819,713,222,490,510,582,937,060,739,646,650,316,783,
684,950,766,546,674,567,854,350,023,900,630,345,903,975,294,886,392,942,793,
192,027,615,329,075,364,779,319,320,122,664,264,577,635,765,647,821,955,177,
017,604,799,549,503,350,297,906,679,453,271,484,681,317,723,680,163,565,590,
960,684,400,115,373,057,265,360,076,049,253,604,978,006,485,761,177,401,560,
627,882,856,468,678,712,331,267,746,770,961,776,853,851,010,717,794,000,880,
971,390,278,538,611,573,657,988,800,557,210,278,804,189,693,786,046,847,226,
239,867,257,073,629,842,243,637,224,828,145,036,481,968,461,635,121,180,513,
409,795,817,718,170,595,665,376,768,638,398,907,706,078,851,212,351,837,041,
799,450,849,336,936,440,705,796,331,906,516,744,349,582,279,936,918,494,063,
269,777,838,162,696,194,580,370,379,752,406,869,781,502,656,564,502,914,312,
022,101,824,099,957,616,276,569,083,544,074,641,585,426,980,924,445,256,483,
590,886,576,357,859,848,377,671,025,381,158,016,753,099,896,784,749,289,078,
098,993,590,426,422,214,081,006,578,741,816,236,051,354,204,872,231,603,570,
888,496,413,440,193,667,790,822,329,673,957,650,740,352,126,440,406,851,383,
660,275,071,255,592,055,231,759,665,027,925,974,258,305,889,780,615,242,748,
940,653,313,585,795,546,782,319,941,734,229,889,655,313,851,607,379,622,008,
597,239,849,337,398,378,966,179,908,685,393,557,596,274,144,991,037,213,237,
527,065,925,014,750,273,271,985,734,656,647,977,431,566,931,368,223,782,684,
068,907,542,787,511,660,884,405,916,757,890,848,347,960,922,334,743,378,951,
327,559,983,691,291,085,366,435,290,809,706,654,749,881,163,297,387,559,793,
834,079,591,280,958,127,606,356,862,592,552,704,122,577,676,926,904,757,635,
257,416,176,289,022,662,607,126,645,878,493,940,739,887,070,838,568,715,078,
184,966,193,916,662,960,613,310,941,142,922,186,767,490,522,498,620,378,401,
513,630,257,162,443,954,230,056,853,164,122,866,493,310,031,912,197,447,621,
240,453,954,700,198,505,399,047,809,219,037,389,331,742,642,004,364,870,887,
288,477,076,805,078,454,033,374,420,362,153,539,747,879,411,064,300,161,842,
317,527,752,041,887,602,872,904,679,370,102,147,528,069,496,606,474,333,325,
140,735,687,637,123,211,464,564,916,077,231,234,368,922,904,725,444,336,338,
963,586,411,028,462,091,898,861,383,741,516,645,115,919,098,651,087,229,551,
173,072,166,919,726,148,639,909,907,040,056,080,871,989,606,971,025,549,651,
422,099,910,194,408,284,524,823,505,645,685,243,501,735,978,610,215,964,216,
389,941,130,923,613,521,531,896,268,078,528,885,383,615,466,212,164,196,518,
723,143,891,876,482,891,363,804,208,556,732,965,810,572,530,666,006,116,059,
599,985,010,144,623,203,402,051,078,387,970,461,890,704,938,977,544,193,711,
234,082,113,554,801,096,506,397,357,568,333,326,359,127,867,362,809,183,831,
354,599,222,481,933,541,425,119,092,958,634,441,762,900,690,548,257,370,087,
470,631,179,543,846,879,259,546,360,906,118,868,292,519,130,973,210,035,751,
995,653,912,097,728,198,002,245,660,948,711,388,383,999,556,046,792,965,666,
539,857,127,420,392,126,805,459,011,004,876,553,903,062,550,954,445,003,781,
940,866,743,699,721,873,110,692,815,679,291,444,536,550,590,616,432,859,673,
767,904,653,174,797,921,987,917,908,630,210,486,225,179,553,858,425,027,498,
817,991,153,967,175,079,996,887,877,309,008,330,312,876,439,422,256,510,618,
863,098,723,644,132,445,434,789,546,500,944,224,217,875,261,168,414,976,619,
715,761,049,509,604,729,080,858,487,764,562,625,051,573,145,596,493,212,592,
598,621,968,119,892,154,046,114,101,423,297,593,295,200,353,522,620,805,943,
273,342,824,332,853,558,231,563,036,336,663,640,287,374,951,991,957,878,715,
495,570,498,169,479,845,462,008,179,362,263,244,128,890,122,539,074,649,055,
967,378,504,119,427,560,355,123,671,165,539,771,544,966,980,605,328,343,201,
091,562,329,984,273,597,252,241,352,597,891,381,580,534,572,309,328,806,934,
610,980,983,278,394,306,247,680,484,854,402,942,374,380,081,492,424,195,379,
740,416,660,353,054,037,075,020,388,470,835,973,649,129,924,873,554,448,536,
453,090,569,213,033,413,644,240,346,765,442,871,712,810,074,607,969,147,086,
274,448,308,256,379,131,142,297,430,793,470,341,267,432,225,203,836,903,571,
258,303,847,760,067,765,913,182,900,771,928,279,325,148,719,651,114,724,859,
004,212,921,677,499,252,149,989,884,787,876,499,277,667,283,624,724,565,460,
827,638,126,973,779,735,171,204,317,522,822,515,150,732,877,745,786,374,066,
133,335,106,413,786,303,686,473,372,798,854,672,375,484,021,024,321,198,024,
240,108,463,587,600,705,212,627,930,715,214,568,084,546,858,012,331,815,034,
849,510,464,670,465,058,025,512,576,179,917,622,028,055,727,976,213,571,379,
742,781,124,444,748,662,576,841,589,082,397,978,367,140,140,134,881,138,774,
429,872,556,965,758,303,789,428,096,369,247,292,050,906,509,941,226,426,325,
385,397,025,627,460,695,970,238,766,949,052,753,185,436,364,055,424,803,720,
375,908,429,742,706,115,899,873,067,288,850,687,359,608,411,448,651,761,652,
530,645,398,980,022,581,133,188,121,479,263,934,634,205,640,652,150,749,884,
811,463,686,669,962,053,797,107,870,564,629,065,968,028,028,920,917,881,344,
138,389,522,608,263,201,329,311,528,937,430,138,628,707,770,693,260,962,292,
331,038,950,589,516,180,017,386,840,667,097,468,674,681,046,602,853,917,077,
254,948,735,270,963,189,377,625,759,826,383,471,055,923,041,688,830,129,059,
979,631,779,970,019,390,130,091,800,370,906,134,795,701,015,133,040,508,274,
166,773,891,830,776,829,823,384,067,393,657,557,754,051,921,049,940,836,834,
701,791,281,596,947,986,614,726,968,709,386,326,990,502,539,344,716,411,168,
128,375,010,467,398,522,915,951,001,228,268,836,213,775,511,746,001,986,998,
997,061,479,541,769,845,657,843,445,396,210,869,969,690,355,847,949,360,828,
224,748,514,566,311,127,681,568,962,475,473,163,517,247,673,590,293,087,347,
629,377,817,181,475,206,693,838,701,257,510,121,993,563,475,534,029,411,283,
001,170,929,054,582,650,686,674,389,119,291,261,815,829,585,723,407,668,965,
003,243,016,607,628,844,176,853,889,014,361,986,963,251,821,400,616,006,543,
147,134,062,537,245,696,553,914,855,422,024,627,163,246,783,292,952,950,952,
682,261,480,549,438,951,686,118,607,695,983,218,166,253,821,390,410,468,743,
693,914,302,530,917,373,389,667,542,794,969,078,746,713,801,181,870,973,676,
641,252,055,331,500,115,101,027,234,034,409,811,470,186,885,314,969,795,707,
706,911,074,033,307,047,622,704,423,602,171,555,089,621,478,408,910,181,995,
737,899,136,846,502,272,480,432,903,221,302,797,493,771,830,256,211,238,341,
953,196,957,509,390,160,773,757,837,843,623,268,532,730,876,542,722,396,428,
018,586,031,121,354,167,848,746,238,912,027,243,567,868,658,111,266,494,619,
756,018,735,887,698,013,085,389,434,417,156,618,806,795,459,857,595,550,058,
414,685,786,429,306,882,465,857,521,156,838,104,974,957,719,617,191,541,184,
997,830,338,980,499,292,321,686,421,376,748,947,794,083,710,827,827,119,087,
466,151,469,204,846,461,527,977,814,133,960,476,085,912,774,564,954,145,179,
305,627,624,577,477,918,167,780,606,113,989,571,779,631,418,251,842,457,728,
292,370,722,784,972,230,963,048,774,408,594,367,739,639,776,486,796,626,776,
683,105,772,786,321,149,883,264,804,158,829,451,250,235,364,385,723,320,348,
829,248,255,210,623,735,320,487,413,264,656,348,760,986,806,764,866,339,077,
871,136,491,317,029,901,120,089,703,014,343,859,052,709,060,728,079,192,841,
861,094,641,322,966,460,462,244,179,270,691,543,888,092,700,922,679,232,972,
370,322,337,953,832,278,579,980,240,317,327,906,389,865,739,251,334,386,644,
565,984,860,175,690,642,890,617,524,675,480,704,678,224,159,568,048,080,003,
430,373,787,474,929,685,517,345,105,030,750,242,157,485,488,617,394,456,691,
851,092,699,418,024,454,840,172,260,124,514,478,210,227,948,909,914,405,353,
576,245,358,382,550,977,918,481,551,480,506,839,509,846,467,126,331,314,398,
844,549,577,395,847,218,508,908,843,184,570,355,078,353,596,330,445,288,075,
885,598,035,381,776,621,438,697,657,480,379,038,202,610,826,571,818,261,165,
036,650,577,459,181,861,644,696,708,666,693,046,914,941,979,549,924,413,032,
542,507,814,720,288,786,818,423,953,954,417,927,646,593,147,808,274,270,534,
605,427,028,069,500,696,930,705,218,324,642,498,399,135,432,825,670,011,067,
967,520,854,687,405,987,259,812,574,982,805,066,476,137,846,939,127,545,973,
480,771,195,945,507,855,369,096,792,458,170,385,628,350,620,026,688,363,359,
398,962,680,027,239,153,407,059,087,403,394,730,596,782,826,550,829,055,916,
447,353,848,567,597,845,104,824,866,906,198,345,940,777,239,732,403,127,454,
880,172,766,051,874,234,271,672,805,403,680,842,372,593,375,151,733,065,138,
421,842,514,233,238,972,184,241,154,760,366,572,218,078,027,546,572,647,386,
433,277,029,851,752,247,350,638,657,590,326,355,309,442,999,050,618,069,007,
890,382,955,920,075,639,451,304,019,133,592,906,445,446,201,365,293,947,568,
253,157,420,432,030,817,213,145,600,387,844,067,494,439,260,549,348,962,769,
845,469,335,172,745,821,134,648,172,950,546,700,146,548,321,470,286,973,854,
812,720,707,973,908,295,840,698,014,546,654,084,441,870,636,560,623,238,117,
021,543,232,201,652,028,706,386,244,410,974,267,474,417,433,923,842,159,254,
555,327,683,855,677,699,941,263,190,861,816,872,588,759,280,449,777,308,759,
476,115,343,567,687,032,132,897,140,030,885,091,661,932,179,001,445,151,270,
391,138,119,896,875,182,040,014,163,091,999,226,818,973,062,028,252,260,478,
304,080,798,480,411,499,412,049,696,371,326,615,622,391,075,926,829,243,746,
621,419,707,506,385,003,696,933,360,333,721,388,259,060,759,496,624,837,067,
438,655,113,797,903,010,484,400,795,605,918,328,494,251,739,303,232,515,054,
974,044,669,848,532,003,767,480,681,215,650,966,226,393,151,047,357,000,483,
600,806,717,797,742,386,469,385,792,958,109,140,548,094,367,701,390,681,735,
148,703,607,181,500,030,443,865,135,832,566,607,774,677,983,650,567,656,526,
484,785,315,519,069,284,626,546,978,432,839,007,716,149,074,109,706,402,005,
116,191,024,824,590,468,554,362,229,632,180,241,299,419,825,498,159,777,021,
037,052,344,742,812,062,982,632,115,949,058,021,305,484,394,419,583,370,178,
511,287,430,270,329,624,699,841,986,658,282,649,552,593,912,738,907,901,704,
351,969,769,295,256,618,199,573,117,641,164,759,882,615,888,644,862,192,144,
692,027,559,007,094,968,737,791,932,565,512,244,802,996,195,170,577,275,177,
286,146,086,970,100,465,804,855,689,386,510,857,511,401,137,632,278,201,408,
293,369,331,019,594,216,831,231,915,270,101,825,011,361,286,039,742,925,766,
556,339,020,303,819,906,588,067,692,310,330,648,763,734,161,852,479,943,768,
001,325,011,438,018,790,963,727,709,929,883,949,767,823,374,017,850,868,749,
544,343,946,200,039,553,111,717,996,882,102,093,403,931,118,568,366,886,594,
523,650,473,170,305,965,223,801,532,957,419,934,950,159,936,335,635,780,042,
467,468,423,981,759,743,730,243,820,786,614,982,879,956,297,762,056,851,556,
942,129,372,151,745,321,271,523,857,816,248,457,990,595,686,815,266,428,801,
772,488,047,628,369,541,291,497,369,650,851,841,366,821,392,935,968,679,686,
319,326,059,808,880,003,210,450,351,323,452,279,366,073,966,645,982,078,476,
420,030,176,218,529,108,671,188,287,767,130,226,036,283,688,316,735,764,726,
325,150,868,770,964,672,349,031,182,240,657,887,579,049,452,299,328,786,665,
968,844,662,231,681,964,581,291,793,585,408,580,930,285,279,439,372,935,661,
265,176,397,207,563,556,305,167,267,138,407,713,121,955,316,151,586,016,510,
328,603,923,386,676,429,501,689,627,838,152,954,564,311,331,352,711,068,132,
001,837,338,179,290,773,127,274,098,659,059,647,205,432,265,261,107,642,503,
197,361,500,025,055,779,524,581,776,614,207,238,325,506,188,771,533,284,600,
951,256,741,151,622,304,906,922,338,330,330,651,503,360,845,533,674,525,973,
829,904,198,698,661,970,190,055,953,215,499,703,477,985,624,375,226,828,092,
728,583,957,633,745,205,970,414,470,154,293,969,242,787,375,189,316,143,503,
590,651,060,636,241,462,153,377,118,018,348,404,304,480,977,042,366,269,064,
877,298,442,588,222,053,679,898,677,065,569,331,591,880,755,056,488,662,322,
744,946,825,618,852,461,510,461,169,389,246,242,215,825,124,308,915,909,453,
240,447,379,272,876,851,993,222,881,184,167,367,323,848,183,894,544,347,799,
221,947,160,106,496,778,005,005,779,990,321,892,252,088,691,358,995,517,145,
992,419,425,153,098,646,780,201,285,537,384,076,106,476,667,992,917,236,702,
665,242,568,574,696,572,466,447,619,137,221,500,482,353,586,260,741,971,577,
178,672,078,992,192,544,777,110,093,662,572,913,602,042,786,020,935,183,296,
744,399,269,518,009,919,785,153,277,539,729,418,942,864,747,685,438,811,346,
740,012,470,425,741,619,284,250,089,038,932,612,176,358,286,093,476,851,493,
737,044,323,252,649,058,236,794,586,690,862,923,418,035,950,383,071,270,580,
801,014,128,055,141,986,379,933,444,713,311,741,147,101,025,454,130,175,114,
609,924,977,776,637,581,559,746,574,253,057,744,691,953,425,049,418,222,994,
048,763,395,765,188,172,230,110,944,253,629,254,138,800,663,177,455,764,354,
748,627,664,556,614,925,374,214,899,963,340,386,325,776,699,803,437,819,457,
705,819,070,173,030,002,786,081,726,961,846,166,773,209,313,674,089,776,671,
886,530,833,415,397,696,004,527,963,075,450,889,689,925,839,918,900,872,151,
660,978,383,314,582,065,570,537,613,274,246,742,979,958,320,730,042,190,357,
510,783,857,576,964,616,108,054,953,294,693,330,180,322,333,470,279,633,424,
176,596,189,009,390,197,034,075,922,666,890,539,705,984,368,104,523,023,437,
421,887,774,905,594,524,798,021,360,836,763,105,828,162,392,995,762,246,888,
882,182,092,778,671,790,635,106,196,135,211,362,582,008,280,961,091,315,464,
463,959,213,724,132,032,981,584,937,632,383,435,044,578,522,478,358,316,632,
278,997,992,314,875,949,679,918,945,550,318,902,319,383,057,700,389,336,134,
084,490,884,999,697,951,936,647,915,716,154,187,770,238,969,175,073,935,696,
652,280,479,183,637,739,481,071,291,214,800,279,881,823,838,240,949,176,710,
761,749,626,504,474,435,852,241,574,463,785,664,207,344,797,475,288,435,469,
499,363,391,343,866,510,485,163,015,899,043,122,090,522,634,508,381,122,367,
031,753,038,780,494,140,779,370,260,170,138,281,326,879,426,188,760,585,913,
365,552,467,820,183,085,825,727,398,545,529,548,780,018,321,079,255,243,893,
088,762,692,600,312,683,574,964,708,542,686,361,077,432,868,035,224,216,204,
448,723,158,476,416,187,272,901,819,441,610,841,133,119,169,782,380,223,659,
536,345,346,834,501,294,030,864,933,758,355,368,032,547,717,286,053,900,602,
379,111,811,551,374,826,664,962,695,351,845,759,888,078,218,634,016,139,498,
771,438,662,121,218,901,000,330,508,036,272,942,251,736,984,321,923,947,000,
534,028,770,642,799,738,659,599,962,375,195,368,009,577,742,085,158,437,789,
276,436,351,584,530,204,692,829,169,324,854,455,361,150,707,001,597,081,811,
321,341,443,759,529,475,089,970,677,770,813,008,395,572,260,376,305,483,016,
863,210,707,124,232,736,070,242,803,219,896,795,051,420,627,144,963,377,109,
597,396,737,329,633,010,302,251,497,469,682,079,987,100,850,840,215,729,847,
131,622,264,946,121,035,764,274,480,780,512,214,671,913,246,280,880,928,100,
851,756,318,412,343,728,871,560,656,580,259,419,225,209,883,937,948,782,828,
763,184,552,536,208,877,494,078,047,748,965,170,152,425,036,604,451,829,015,
070,541,489,135,094,452,426,772,817,859,209,384,061,823,320,723,417,769,786,
011,033,870,924,825,317,195,182,753,039,999,685,885,830,802,114,700,224,243,
607,792,901,334,991,901,397,154,991,688,556,363,854,728,068,907,088,075,474,
832,144,763,912,179,740,462,139,909,998,460,343,592,426,534,668,494,390,890,
751,504,367,139,919,034,222,279,310,203,379,780,953,169,235,817,824,338,617,
686,664,760,393,193,305,904,561,245,281,020,428,544,708,136,680,210,305,524,
620,706,926,063,408,592,423,768,464,449,648,857,198,697,510,982,076,669,266,
090,155,530,909,279,483,907,674,436,570,005,150,563,017,394,943,824,547,229,
102,673,278,251,223,216,059,741,361,203,914,255,004,193,112,631,726,390,560,
636,865,136,952,296,022,043,822,474,255,820,739,377,377,063,675,019,041,095,
238,720,250,114,115,297,924,860,715,112,471,280,337,417,998,790,163,643,861,
712,474,321,133,728,800,031,022,822,630,024,584,806,876,577,147,505,938,639,
832,054,025,995,885,876,035,369,250,401,882,176,155,761,467,432,179,800,941,
026,471,135,518,799,697,991,600,550,794,164,493,145,958,273,089,845,567,142,
762,485,854,801,216,578,882,715,198,210,260,709,301,643,520,070,888,579,326,
391,839,491,974,761,609,407,560,987,989,820,532,633,379,011,488,909,438,751,
179,320,315,153,947,964,923,322,132,764,036,601,760,895,020,016,153,843,762,
487,772,134,628,588,350,739,968,682,180,740,673,471,942,749,855,074,948,110,
313,471,108,872,728,944,802,360,617,804,039,856,165,653,100,856,804,387,244,
412,662,337,432,583,765,106,906,509,434,171,000,657,601,779,979,052,530,759,
404,446,820,559,904,695,510,301,212,566,334,875,203,333,082,735,808,350,284,
134,778,581,764,393,207,622,896,576,872,843,517,598,659,899,283,992,777,794,
397,767,753,814,728,114,839,992,789,736,770,195,895,109,407,643,005,209,053,
713,170,338,512,467,121,212,326,066,592,392,632,650,236,021,930,890,243,408,
621,519,763,317,397,611,199,270,639,516,349,505,558,654,134,819,506,079,949,
037,379,585,977,548,561,570,648,475,923,080,680,812,174,581,655,853,565,431,
802,509,035,977,825,191,744,979,786,614,507,023,806,399,482,864,376,686,152,
340,331,884,438,765,635,230,629,794,516,718,411,808,737,738,508,197,080,406,
935,428,158,301,727,921,814,139,719,279,686,109,037,873,011,673,364,136,244,
708,945,429,373,868,949,889,580,735,857,427,931,667,957,355,792,693,089,849,
255,454,577,096,276,513,880,901,733,847,472,413,384,763,292,017,069,173,412,
025,718,706,836,146,218,095,685,804,202,925,467,772,010,874,258,936,840,422,
928,301,112,112,935,221,067,441,780,548,517,942,657,070,938,211,816,980,902,
331,209,228,096,993,876,106,429,646,303,531,177,420,199,393,809,476,024,248,
472,857,459,721,918,782,428,517,251,272,953,398,591,594,834,022,316,054,940,
938,253,145,868,363,538,798,175,377,025,327,865,672,347,191,169,943,856,883,
889,561,453,845,114,403,994,191,476,843,234,603,103,487,400,368,862,581,148,
124,813,604,262,507,627,609,841,564,310,987,463,171,489,635,134,714,815,970,
633,567,430,616,944,194,474,898,978,617,820,907,940,942,554,993,093,991,129,
532,416,084,021,836,226,855,781,201,639,161,971,563,935,397,832,121,448,892,
375,506,054,282,582,061,284,157,577,306,083,588,249,045,542,976,749,923,644,
653,682,082,602,743,255,140,473,216,849,661,525,209,337,978,590,998,796,250,
441,177,572,987,057,390,478,726,091,927,427,066,448,162,550,560,909,444,456,
051,959,613,040,127,871,651,441,559,263,449,656,939,799,103,373,871,963,920,
414,401,685,365,838,145,063,273,007,159,994,112,796,722,990,512,386,164,793,
623,017,290,168,788,130,516,450,465,035,462,419,029,975,170,805,783,435,139,
501,773,304,944,833,907,846,563,842,410,816,629,566,240,894,027,170,727,072,
437,450,431,237,068,219,036,050,686,125,005,145,985,568,407,337,658,490,449,
629,014,493,186,012,148,972,778,103,500,089,110,648,755,999,288,816,122,848,
999,943,957,591,246,240,220,110,124,794,827,368,662,906,945,994,985,298,657,
010,345,998,491,434,317,308,228,951,216,347,467,911,525,452,395,015,229,110,
529,024,600,616,987,458,952,803,652,204,602,970,737,134,824,849,194,130,561,
382,449,620,597,728,009,681,385,669,232,302,335,995,899,812,319,354,998,889,
678,409,566,299,988,625,816,153,819,510,656,443,685,561,701,411,446,254,443,
343,000,238,513,030,909,740,281,411,041,057,509,796,697,203,204,415,498,013,
651,693,424,269,032,867,619,982,339,016,569,129,903,481,810,650,625,333,860,
360,633,583,497,394,509,272,467,783,186,874,314,485,569,149,824,175,668,873,
030,147,890,454,793,072,619,619,128,074,965,301,442,725,341,617,615,707,038,
316,075,992,455,705,241,359,831,536,118,123,902,503,808,421,038,155,758,489,
767,062,697,508,292,903,466,528,945,653,359,174,993,436,145,139,364,830,444,
653,744,025,558,615,298,655,537,076,971,609,243,163,098,595,202,425,628,020,
466,928,844,462,167,872,029,245,319,521,453,756,082,697,038,519,822,333,839,
349,823,235,408,700,955,203,485,690,739,455,828,595,233,849,732,308,316,250,
737,778,410,734,276,105,776,271,553,478,547,467,377,887,471,332,769,205,820,
535,701,205,097,876,255,340,879,285,388,429,543,573,816,112,715,611,732,721,
155,866,346,716,265,401,696,136,087,785,216,175,468,467,518,623,579,386,592,
921,319,300,037,687,305,660,678,147,621,045,186,108,963,191,793,763,942,831,
470,997,844,130,497,396,586,237,097,041,837,342,982,244,957,699,790,520,441,
807,916,697,166,612,352,253,995,985,588,623,052,586,552,164,760,413,570,832,
025,129,663,640,583,270,551,204,129,606,174,646,493,085,789,117,404,546,501,
613,663,064,602,666,433,935,875,195,693,875,951,462,404,102,195,073,288,242,
169,587,818,152,485,891,701,768,700,013,393,395,268,927,850,035,253,039,263,
914,016,361,963,026,005,220,005,932,159,396,191,928,491,938,252,300,166,773,
252,555,111,893,072,446,812,667,473,334,466,056,910,739,245,523,385,755,028,
087,870,257,475,980,625,322,982,258,513,276,378,507,864,909,298,082,784,469,
397,843,493,321,017,104,535,544,754,887,388,866,042,911,716,744,156,842,681,
751,361,421,067,019,519,081,421,112,479,357,021,494,562,152,315,409,685,016,
454,138,886,428,853,328,411,645,666,030,258,835,434,380,224,908,441,144,832,
481,798,749,494,880,319,027,590,573,768,301,439,512,633,679,269,557,450,859,
420,390,694,429,400,724,523,982,319,558,411,070,996,261,077,322,177,121,632,
325,614,404,071,692,088,149,770,850,199,818,539,359,217,202,209,997,460,737,
444,274,404,576,465,553,277,543,939,776,888,830,635,030,023,850,645,606,848,
400,164,962,732,433,086,363,247,465,204,396,398,268,430,246,761,432,774,018,
361,856,583,080,431,455,439,797,650,977,189,548,621,278,040,768,798,126,398,
385,592,257,769,150,166,299,930,645,641,451,685,858,852,568,463,677,892,326,
457,789,297,174,320,942,153,446,906,946,762,000,542,706,811,250,963,528,315,
406,167,555,451,403,754,888,224,213,140,435,936,892,781,730,241,587,177,537,
833,982,542,494,053,879,965,458,221,800,659,008,152,621,821,766,124,156,146,
773,844,097,611,212,884,908,980,350,634,088,735,946,970,376,288,416,101,729,
772,063,337,208,470,562,466,467,325,344,274,414,665,307,163,962,224,185,646,
764,019,508,512,662,562,431,591,183,846,446,283,565,407,144,357,453,411,121,
628,100,034,257,447,331,006,208,288,814,584,723,341,010,983,512,753,405,862,
357,135,820,402,947,138,864,029,486,904,201,593,237,403,460,185,571,071,003,
407,278,614,185,749,923,543,393,537,468,667,584,698,818,943,318,902,891,569,
160,147,062,874,384,392,268,702,842,582,029,239,718,879,857,212,848,977,078,
827,074,587,622,829,253,763,790,578,855,743,933,622,101,029,002,118,030,007,
426,440,138,747,648,279,138,216,298,478,671,642,930,698,353,576,006,896,076,
571,624,047,804,200,896,451,245,680,606,377,436,842,633,524,102,275,180,193,
490,760,220,919,439,733,397,366,504,823,290,462,241,773,423,052,869,998,782,
773,916,252,836,566,270,007,502,365,703,792,520,328,125,409,558,653,624,111,
830,865,112,209,233,672,038,685,543,666,583,907,908,706,532,929,289,129,994,
400,949,393,778,544,920,518,858,970,870,987,204,366,776,110,536,238,177,183,
464,469,785,722,014,550,702,584,157,576,181,126,878,351,098,323,074,746,405,
922,127,269,799,295,682,945,527,550,072,319,238,053,494,919,974,765,699,236,
642,154,605,597,485,720,309,199,426,720,692,763,265,309,788,223,735,715,703,
921,481,201,150,182,692,578,084,431,472,214,560,475,230,436,420,206,368,513,
078,143,908,420,028,534,808,966,169,396,553,666,648,901,894,057,680,636,083,
240,284,244,247,691,177,767,937,735,260,148,923,861,424,470,396,917,767,863,
924,566,505,563,555,006,225,892,016,960,832,451,885,982,051,272,657,217,947,
390,102,352,311,580,765,023,593,247,999,783,988,277,947,182,100,821,947,029,
020,799,674,218,272,101,260,726,114,701,691,163,083,841,308,463,625,013,813,
007,642,868,089,686,178,314,649,362,948,310,554,296,894,762,111,727,654,422,
317,356,856,643,874,115,683,047,675,738,359,568,690,082,775,500,418,167,650,
907,280,417,455,521,426,751,972,956,671,070,539,650,276,862,680,739,568,503,
931,960,460,070,070,776,543,621,028,024,636,513,306,032,003,210,456,280,116,
309,062,251,291,734,178,986,966,838,773,463,268,789,954,276,646,391,229,966,
928,080,160,522,849,683,883,745,677,134,180,816,531,207,406,879,698,055,022,
429,909,954,361,749,150,868,345,745,561,319,208,865,225,518,100,733,397,129,
960,139,621,495,570,126,898,629,967,309,767,096,107,817,637,549,002,679,912,
624,488,103,364,150,261,361,229,411,057,058,562,713,496,496,234,513,753,163,
953,921,917,351,257,676,802,094,371,568,986,298,627,807,062,283,938,734,839,
312,885,801,623,086,235,607,489,159,925,363,672,785,119,845,428,039,755,808,
986,054,165,007,934,985,841,320,797,581,359,009,041,723,460,614,914,299,250,
638,399,953,757,694,073,868,709,100,932,709,438,153,968,535,686,297,706,188,
996,211,538,228,242,085,730,278,901,977,700,902,633,083,389,807,154,204,791,
931,136,429,356,228,497,275,203,746,928,882,102,246,626,660,134,406,169,344,
098,802,890,358,754,792,060,785,530,688,268,927,124,659,299,294,220,040,234,
377,775,718,575,262,117,698,516,536,405,081,395,234,588,329,244,767,348,927,
511,877,420,584,642,741,066,675,679,313,506,737,964,421,464,610,559,747,810,
972,103,981,030,495,303,548,098,230,500,686,318,893,363,702,884,838,558,254,
439,058,095,703,719,039,291,742,903,177,772,256,857,516,201,121,884,303,987,
308,019,022,172,678,238,478,139,148,172,741,686,651,924,836,110,669,532,208,
411,860,782,124,512,384,739,233,525,264,931,154,204,239,746,968,989,542,078,
204,389,898,420,415,990,100,061,632,563,137,940,128,503,609,145,129,576,973,
068,741,520,247,200,382,996,579,299,973,787,476,088,391,947,256,541,233,947,
010,933,897,125,709,509,113,773,282,948,418,347,886,728,091,569,683,199,090,
712,001,742,933,827,846,515,637,449,452,690,497,009,275,663,174,953,050,581,
790,572,985,660,862,901,453,839,286,247,078,567,781,319,382,390,708,963,437,
311,637,011,666,756,991,427,784,433,730,795,393,266,522,217,292,174,804,333,
681,350,328,869,420,246,867,961,254,666,403,001,048,329,663,605,767,549,076,
925,742,889,120,129,402,792,680,580,156,964,460,631,882,160,352,572,478,520,
342,938,619,379,173,865,553,028,041,765,919,296,955,807,714,107,482,476,555,
505,621,882,163,793,201,027,048,707,684,776,512,202,194,650,058,044,032,372,
246,156,315,531,675,518,362,911,244,671,917,214,120,095,360,616,577,088,814,
063,913,521,728,506,991,553,223,926,049,613,597,954,947,164,503,585,383,001,
507,168,355,759,378,428,865,890,441,687,023,647,294,256,237,375,407,059,669,
393,841,999,878,967,245,010,361,247,141,583,433,365,424,994,392,085,641,612,
576,117,193,054,749,718,291,705,628,737,911,410,091,967,534,122,388,914,846,
787,226,154,515,325,038,150,542,464,988,593,643,618,166,246,800,806,614,651,
912,506,847,850,555,152,229,126,769,681,418,612,807,529,120,827,317,628,704,
459,433,696,397,621,868,563,042,118,597,682,986,758,482,370,608,801,294,670,
011,241,241,321,782,571,015,565,820,674,628,466,295,850,713,859,805,028,471,
702,555,517,378,514,257,960,553,564,284,253,008,719,617,110,163,965,164,147,
979,202,760,737,005,517,660,520,939,245,626,601,546,547,154,460,221,907,148,
244,567,524,778,032,642,193,293,844,114,180,585,120,742,824,508,990,567,372,
095,865,946,240,734,850,197,991,066,889,801,086,004,064,140,579,064,928,332,
296,382,641,058,956,943,706,821,248,021,923,291,932,580,292,439,892,584,101,
688,167,969,519,674,997,484,419,966,544,443,503,844,019,825,719,041,208,234,
830,397,008,744,308,385,019,581,323,877,004,565,618,884,891,982,489,479,505,
071,788,332,712,372,129,058,421,481,252,245,436,032,230,017,495,182,536,497,
217,266,578,962,953,339,132,835,150,534,969,785,895,274,620,529,250,402,261,
915,971,525,984,556,345,030,938,935,760,948,476,599,650,284,718,260,724,590,
727,014,292,327,650,941,321,349,057,661,582,872,812,926,735,293,706,471,737,
391,483,730,065,658,461,852,364,427,948,713,251,281,894,063,902,552,074,697,
837,423,953,313,766,753,196,136,000,648,209,277,824,792,843,078,594,814,029,
113,581,938,277,988,219,496,795,996,091,528,217,978,988,950,972,970,684,238,
882,394,532,368,272,735,145,961,079,584,231,495,965,159,094,443,188,669,604,
271,222,650,537,143,926,480,877,424,104,940,534,666,741,636,637,981,767,051,
053,182,862,708,198,978,553,111,546,097,298,855,483,171,351,148,624,271,817,
879,680,658,008,967,007,469,772,826,963,159,777,677,339,158,076,553,675,864,
298,671,724,856,507,762,903,467,355,474,060,088,423,078,645,686,724,231,057,
846,927,941,614,573,663,898,450,846,393,673,115,807,014,722,723,832,605,769,
532,593,554,849,162,961,101,051,972,445,698,803,947,932,255,605,587,995,770,
070,441,218,908,397,972,046,896,065,038,419,508,383,562,209,249,850,468,247,
262,951,229,105,617,097,856,723,470,192,288,554,237,892,255,128,143,569,187,
128,254,672,612,389,282,690,264,556,233,232,013,772,330,062,757,258,036,955,
703,111,697,758,032,098,085,243,632,076,041,097,508,890,343,225,746,089,315,
731,109,389,502,142,461,201,217,944,878,607,108,688,935,307,083,915,388,564,
924,894,338,014,662,919,465,536,998,794,623,970,931,467,174,086,153,813,408,
585,409,246,167,923,082,120,072,716,248,086,919,929,005,990,084,702,412,943,
490,291,301,827,654,763,958,520,107,207,416,604,440,921,626,260,642,557,927,
985,929,660,990,501,012,830,233,851,849,805,415,038,094,455,013,736,716,575,
202,246,951,672,649,058,502,041,402,451,846,381,213,560,015,178,299,219,055,
520,230,445,233,753,973,523,246,399,171,510,017,746,074,887,252,414,367,180,
700,284,316,858,434,806,882,161,568,402,940,082,241,887,770,139,143,871,123,
288,528,917,858,758,778,640,775,931,436,665,476,389,756,566,483,603,218,908,
927,421,232,061,369,223,460,420,991,508,259,757,702,817,265,142,016,634,254,
051,695,534,072,714,083,226,245,766,367,201,581,769,737,722,871,813,404,596,
037,264,350,542,856,907,847,639,142,059,730,156,182,248,622,561,602,013,503,
516,141,164,639,812,238,223,831,534,163,264,230,322,513,381,112,947,500,275,
231,709,499,209,260,838,855,840,202,186,309,455,676,817,923,914,865,360,985,
312,543,436,122,476,396,404,754,294,167,358,076,693,910,993,736,152,426,050,
853,344,227,342,752,329,105,497,041,841,979,612,214,110,369,929,283,002,617,
129,759,907,908,926,508,017,615,236,027,863,581,108,991,028,961,946,439,378,
174,003,924,193,087,255,498,073,202,624,649,722,827,585,839,472,706,058,147,
373,587,108,931,432,214,812,593,446,877,299,529,835,049,930,065,407,927,596,
627,788,804,485,048,893,746,461,275,375,414,607,441,713,155,409,873,599,096,
249,312,011,706,347,559,277,470,586,267,133,224,938,948,842,809,795,867,487,
630,634,579,111,644,175,849,883,377,640,576,445,265,446,421,487,903,637,578,
680,753,832,176,931,457,755,364,539,626,202,758,274,837,846,589,715,520,215,
304,314,804,149,307,541,310,975,724,355,425,221,948,219,580,910,560,199,794,
088,556,104,821,507,180,445,682,545,716,627,106,111,026,755,960,692,306,717,
358,105,645,666,242,866,990,533,689,694,729,305,202,147,897,952,773,087,813,
057,151,466,944,822,356,529,804,315,906,768,685,866,324,082,731,469,485,735,
235,890,110,120,707,122,201,257,304,572,956,193,066,777,092,741,654,038,991,
128,108,597,830,327,687,731,348,239,155,259,352,669,023,319,021,218,217,087,
192,215,501,938,774,156,012,331,889,315,222,895,869,968,827,613,568,684,262,
271,610,332,603,778,058,048,441,992,083,072,529,278,375,314,805,282,476,536,
595,082,490,729,314,640,504,421,946,890,273,694,598,508,101,965,056,957,302,
361,773,734,858,013,959,384,152,273,751,325,921,852,674,061,015,889,926,787,
181,861,292,899,829,717,332,768,420,568,530,431,000,485,233,041,792,111,430,
938,881,650,579,838,494,997,738,936,404,918,835,747,868,620,724,441,268,051,
281,408,631,278,001,227,662,542,745,660,547,992,631,884,247,367,386,614,161,
031,321,930,900,710,356,229,592,777,950,360,063,952,215,654,915,351,461,065,
349,210,297,519,046,321,088,780,336,370,311,013,890,773,784,280,321,632,508,
336,786,121,249,217,346,495,542,995,945,468,471,614,063,880,725,460,820,838,
638,949,546,017,940,260,473,686,610,067,445,401,321,903,283,272,877,780,335,
867,756,146,216,434,496,199,562,511,701,133,440,844,537,073,713,922,323,727,
640,835,208,414,378,824,368,298,085,443,466,904,933,232,797,159,519,119,499,
860,107,710,298,192,303,303,786,637,705,514,994,843,619,221,931,853,441,362,
291,934,184,326,236,619,688,626,649,372,919,119,122,049,117,109,416,043,956,
207,042,268,575,647,382,073,471,061,454,383,667,127,814,150,515,230,639,302,
208,140,686,763,086,745,354,211,866,303,780,777,602,568,434,312,410,844,725,
365,799,223,643,685,630,148,046,114,407,427,722,886,807,033,895,750,139,111,
625,821,782,608,329,156,494,330,674,918,535,916,991,031,668,106,096,850,445,
072,331,654,599,273,734,328,207,703,247,506,856,355,966,150,770,610,005,835,
616,381,345,453,272,645,156,885,941,654,999,704,001,808,787,604,481,047,906,
727,304,656,000,714,526,681,960,934,543,870,464,149,536,259,797,504,595,434,
357,761,042,271,075,498,135,032,928,000,628,356,313,840,925,214,539,239,447,
464,109,621,535,436,229,542,754,532,396,907,240,460,221,637,370,537,621,442,
944,883,882,455,547,024,954,449,950,154,270,997,829,427,633,844,021,645,743,
268,301,267,831,396,937,662,689,170,878,206,951,601,120,569,604,376,128,609,
267,355,261,843,903,634,563,786,835,157,518,786,926,470,936,255,540,670,493,
914,427,877,486,447,021,413,670,680,201,811,413,303,046,942,303,097,173,028,
919,840,464,546,210,796,168,362,187,324,680,485,253,601,405,299,337,463,497,
875,301,706,593,312,539,591,073,941,552,066,944,162,840,401,424,284,715,941,
299,040,247,629,457,014,354,732,001,193,916,305,119,711,874,509,807,250,305,
167,963,548,946,918,870,199,161,947,112,950,688,415,322,210,063,012,274,158,
141,528,827,876,737,079,175,826,248,544,607,501,096,707,655,933,201,197,915,
642,244,712,644,892,746,717,130,653,808,965,548,934,064,726,628,893,759,886,
523,762,397,540,199,839,916,880,719,892,462,731,983,957,380,639,464,527,107,
563,345,592,158,466,126,584,064,418,169,198,147,088,599,078,429,190,272,371,
866,449,740,774,230,654,194,435,788,761,973,809,716,356,773,189,910,149,054,
891,857,263,256,686,615,152,063,994,079,670,703,742,093,620,091,244,817,247,
348,697,742,940,035,321,938,807,569,033,172,396,603,564,285,199,324,109,324,
905,058,312,836,457,639,865,463,817,317,032,282,409,518,043,409,203,342,061,
607,070,069,749,816,062,506,051,545,054,354,414,495,190,513,451,470,550,136,
174,066,365,697,008,155,576,105,548,515,551,204,000,836,011,047,221,624,837,
314,727,849,040,303,527,002,199,045,605,917,747,226,715,455,658,106,878,710,
907,893,874,820,909,961,724,312,753,895,526,959,978,989,769,132,450,773,422,
038,123,495,759,328,941,545,423,063,225,061,302,637,082,191,534,851,371,678,
987,072,119,406,980,317,720,885,605,869,639,164,904,526,180,627,398,497,623,
934,060,300,114,148,789,329,573,563,102,180,425,186,936,247,405,556,149,576,
883,958,254,007,943,842,725,576,844,268,180,489,096,418,675,803,070,598,793,
880,893,324,918,688,066,691,483,419,333,902,891,745,289,477,423,838,108,915,
400,148,750,714,617,214,033,649,672,327,824,885,954,169,282,392,338,415,273,
863,238,233,766,146,357,323,099,358,355,579,048,989,160,360,601,961,977,412,
129,580,745,624,039,162,716,147,479,576,793,570,806,399,174,108,356,541,569,
306,296,142,374,015,387,258,617,871,834,375,915,795,400,813,032,741,076,318,
814,312,735,140,924,307,924,591,358,032,914,404,095,750,186,218,308,603,062,
888,407,789,709,890,699,763,824,750,682,417,052,379,219,317,068,680,277,048,
418,687,363,292,063,373,461,681,094,060,962,542,929,617,351,965,035,977,714,
760,531,086,626,486,276,866,980,691,283,969,915,288,226,908,808,040,307,269,
351,097,534,538,643,675,004,888,424,073,156,106,019,443,543,475,604,585,835,
597,722,244,101,425,213,964,313,228,885,474,157,905,153,484,214,140,491,199,
602,669,100,813,945,780,456,780,229,523,591,581,612,506,482,981,233,827,364,
066,538,261,782,274,958,241,062,522,484,094,988,822,728,473,608,372,684,877,
748,726,220,429,462,594,460,657,915,465,555,886,916,559,877,957,431,105,410,
988,883,008,817,919,831,076,457,552,478,044,850,337,429,942,920,736,197,051,
222,729,396,919,370,571,374,298,139,794,713,494,626,139,015,409,307,196,775,
395,438,304,096,941,367,356,420,307,415,067,140,776,305,996,212,107,017,028,
986,884,523,350,724,061,079,933,324,243,991,313,477,073,326,185,281,131,754,
155,859,620,686,104,819,713,885,491,165,087,306,530,064,628,915,317,061,311,
565,309,757,346,977,828,778,031,246,052,505,949,965,032,973,015,592,365,726,
050,360,009,544,418,482,519,126,588,264,315,669,596,352,316,403,416,763,693,
307,948,348,807,625,042,371,489,710,382,837,283,842,397,653,703,895,445,876,
308,406,410,402,205,222,527,722,925,833,910,732,539,286,077,978,375,133,790,
139,266,733,273,269,924,857,709,724,452,869,980,521,798,721,780,044,848,145,
332,272,658,436,776,775,292,115,384,421,465,531,999,315,511,454,099,834,542,
464,541,711,170,354,042,882,606,206,944,763,639,703,984,544,035,991,281,810,
141,599,410,437,388,125,494,151,438,440,865,070,712,070,067,780,826,580,507,
670,795,161,278,040,335,606,703,040,438,744,387,948,335,198,982,027,821,286,
151,010,686,796,963,400,699,308,779,380,205,865,216,792,281,728,337,213,367,
535,601,883,998,476,705,685,007,864,441,331,130,219,758,231,466,282,260,603,
747,530,470,014,635,629,088,998,781,226,618,614,815,001,290,607,622,063,736,
590,606,038,699,408,251,692,320,077,607,204,273,995,839,674,275,713,207,810,
318,764,046,180,508,085,594,430,911,673,851,025,227,729,696,182,270,918,295,
998,073,122,208,940,866,073,742,611,475,969,260,083,634,193,209,558,764,952,
481,615,082,795,864,269,021,113,964,971,497,950,708,038,161,269,991,858,929,
924,796,646,173,781,150,900,980,313,269,816,085,887,591,109,921,922,539,226,
670,011,060,774,014,568,657,877,241,964,151,492,320,336,856,356,393,529,760,
393,279,298,276,112,192,757,060,176,869,897,076,099,955,290,154,346,237,733,
980,565,654,816,773,284,059,214,249,834,352,842,014,369,119,725,984,263,050,
696,445,537,122,947,654,765,573,550,042,479,654,159,776,068,346,553,069,260,
583,820,331,926,477,531,040,792,200,634,176,680,145,985,833,114,752,655,505,
123,654,653,416,721,457,755,537,558,873,472,556,325,620,285,993,911,186,635,
776,897,959,499,503,480,363,724,427,799,966,692,745,668,780,489,787,985,086,
860,208,972,647,836,808,760,590,302,448,071,664,207,100,589,979,566,225,507,
588,178,325,932,957,801,959,442,633,563,832,973,862,450,194,611,492,248,264,
435,368,133,094,720,097,139,394,187,557,844,193,434,779,706,517,861,729,081,
113,030,872,035,768,347,278,517,164,304,490,057,400,009,050,146,490,589,078,
107,556,356,200,319,288,089,800,642,978,618,117,272,397,510,709,729,473,013,
598,634,879,967,911,132,625,690,663,514,076,283,943,218,691,478,978,072,944,
064,808,030,798,343,958,188,344,834,621,107,515,667,206,679,698,093,048,160,
296,062,881,773,157,413,341,353,246,382,779,316,351,182,373,980,305,995,008,
049,427,692,306,502,637,615,648,628,076,133,935,343,495,631,366,652,793,670,
952,850,067,182,836,284,134,003,047,932,383,418,058,940,044,095,730,357,269,
941,112,465,430,018,546,871,095,531,708,230,592,683,250,592,272,651,870,301,
209,952,658,096,888,220,105,264,519,410,094,736,383,149,045,437,637,464,663,
552,467,348,232,748,539,592,921,709,001,769,748,533,308,093,235,935,566,236,
265,317,055,157,943,049,590,747,163,637,859,981,717,319,123,068,779,157,460,
600,644,228,473,522,108,963,639,121,543,235,928,494,784,953,641,168,562,162,
160,188,204,227,312,596,431,453,311,625,990,864,063,427,613,131,522,473,888,
099,628,433,070,889,294,059,996,189,715,808,003,390,810,291,035,014,172,558,
179,077,249,222,476,242,788,166,816,979,272,417,732,846,539,187,272,241,569,
441,856,822,410,133,380,015,636,999,245,654,657,108,585,013,353,147,713,684,
055,394,416,787,939,847,895,930,313,928,682,534,459,281,769,286,693,029,706,
266,096,532,138,977,211,862,361,143,415,806,685,994,736,870,035,405,672,931,
980,820,342,462,780,429,949,886,937,370,440,205,614,581,696,646,656,960,497,
205,147,576,769,903,644,637,736,535,248,989,324,768,658,101,708,300,349,274,
013,155,317,542,132,826,879,853,746,302,591,490,767,320,734,133,478,044,518,
202,607,707,480,094,293,809,086,170,252,836,536,939,606,004,848,751,545,194,
925,632,163,645,945,336,514,469,154,548,419,418,427,352,047,472,768,310,693,
723,336,904,819,978,965,323,304,868,145,214,835,019,198,325,241,403,186,752,
033,985,766,409,995,920,273,308,813,165,371,423,528,830,088,979,552,813,271,
572,683,039,471,280,907,807,096,881,345,659,787,841,874,293,096,900,713,251,
965,592,189,268,725,370,918,512,415,581,458,330,923,543,728,159,331,848,840,
365,653,316,746,040,787,567,688,209,841,943,990,620,122,351,557,416,310,604,
757,824,970,025,047,981,637,614,185,971,999,329,434,049,584,006,561,958,156,
217,675,031,589,687,452,534,884,337,608,296,792,436,069,164,482,268,788,529,
492,230,670,373,677,555,780,909,041,442,941,035,322,201,646,433,491,985,116,
961,138,788,410,222,378,061,977,818,648,647,352,938,738,568,819,343,133,495,
679,440,084,039,796,021,154,032,035,586,885,027,306,939,126,964,903,971,818,
221,917,245,476,306,562,067,337,728,046,529,395,933,612,901,026,060,112,754,
763,747,605,283,334,213,531,053,729,954,865,033,025,578,362,208,147,749,559,
599,215,633,308,425,649,214,005,829,457,148,997,055,899,389,059,461,413,263,
223,057,044,952,697,274,423,094,934,831,577,320,030,437,395,259,600,782,695,
546,498,518,193,728,154,198,125,679,151,319,957,368,386,197,573,059,994,442,
153,189,071,489,207,508,111,475,610,668,161,965,069,437,617,433,021,470,202,
206,483,279,117,013,309,511,381,997,935,881,143,503,659,088,594,397,497,310,
816,882,203,297,380,642,210,007,561,710,976,833,297,282,567,733,994,744,241,
916,291,895,819,815,006,862,285,989,108,354,728,829,341,336,737,376,641,774,
402,583,332,244,374,651,386,031,167,074,495,711,503,771,477,898,632,217,920,
935,470,245,135,350,692,423,558,993,217,324,440,178,854,884,568,618,731,238,
104,911,531,981,469,752,801,774,233,954,371,095,025,174,238,858,821,105,416,
817,790,313,588,048,328,610,681,979,506,328,216,447,405,829,188,713,098,012,
594,170,603,707,454,975,365,055,383,124,362,481,675,710,952,819,585,978,290,
393,006,210,309,751,664,243,845,793,060,431,681,827,323,253,108,871,854,557,
804,850,376,787,435,953,525,647,911,779,163,481,703,109,235,986,559,883,094,
907,204,409,397,117,667,445,302,260,706,980,784,386,464,000,208,465,463,814,
161,454,538,815,315,462,360,472,159,030,248,184,683,984,536,366,154,102,235,
037,421,562,179,757,947,296,685,342,972,556,163,506,023,977,984,379,624,588,
579,754,880,242,061,784,914,106,953,264,003,563,251,298,670,253,904,974,424,
155,853,760,202,520,468,467,617,137,999,919,303,119,792,162,315,400,452,542,
808,147,311,337,621,128,514,896,681,556,496,986,241,491,047,781,353,370,052,
131,964,896,847,725,501,107,048,082,748,241,106,430,264,705,432,190,413,304,
820,536,428,394,499,768,243,550,513,748,451,904,381,002,799,126,898,271,395,
107,877,422,559,544,756,370,243,224,262,096,661,484,070,856,955,171,722,557,
669,043,564,518,868,530,418,076,061,496,691,244,508,895,998,295,068,308,177,
769,090,009,661,945,765,707,100,294,148,607,326,247,401,029,421,729,419,829,
416,748,136,843,732,599,201,979,540,917,890,818,492,627,190,153,777,195,711,
525,379,039,614,177,530,431,792,157,534,817,908,215,567,146,645,100,269,718,
158,170,510,741,484,649,515,594,089,378,512,115,176,741,487,831,166,654,559,
409,098,577,373,315,786,943,394,224,280,186,576,228,163,346,647,409,864,544,
087,465,788,874,887,607,265,530,285,118,828,901,120,741,565,101,267,060,104,
179,251,328,106,106,978,195,690,387,799,470,145,620,973,155,167,879,189,263,
226,970,754,422,397,707,001,800,431,020,923,256,958,512,745,503,211,106,451,
099,539,752,086,518,543,244,070,638,256,249,140,746,237,635,999,705,330,818,
948,358,716,115,733,947,227,633,379,029,116,609,306,244,961,572,864,508,619,
104,665,129,863,773,076,521,912,058,205,039,448,099,941,937,119,540,055,834,
750,126,548,104,778,228,237,908,713,755,368,639,082,962,606,638,075,304,808,
729,557,968,786,948,713,266,946,063,923,131,979,355,481,984,322,905,693,848,
102,842,623,214,922,837,927,991,033,660,651,743,970,282,265,679,899,671,639,
040,200,718,898,481,665,762,160,868,078,083,561,853,863,161,516,234,428,262,
853,936,795,973,533,618,290,835,144,069,088,650,877,433,617,200,708,443,721,
947,110,737,656,155,489,150,297,210,556,504,293,418,968,809,390,241,601,002,
385,595,506,554,716,082,156,257,247,497,494,923,594,315,819,481,923,017,727,
133,835,855,560,070,439,209,141,581,256,739,520,866,158,504,187,257,357,117,
476,774,488,693,638,256,873,146,625,303,803,167,963,114,251,600,783,529,322,
212,351,253,117,119,465,080,146,537,458,232,520,867,643,632,540,922,514,248,
820,919,457,262,734,552,782,994,048,639,191,401,818,518,174,036,311,419,065,
914,088,634,932,629,036,550,029,274,939,184,253,360,235,442,428,956,603,697,
528,710,398,281,033,343,238,015,770,827,149,037,326,277,006,152,337,524,502,
269,970,860,217,255,579,693,732,405,097,277,825,945,382,675,522,790,717,508,
991,453,010,622,555,749,088,503,289,981,047,510,313,720,417,432,649,393,027,
473,278,246,099,551,777,522,465,580,150,567,670,858,976,667,534,541,652,349,
959,597,457,291,341,531,578,940,992,462,272,978,439,077,013,923,667,832,033,
027,281,907,482,626,859,653,813,557,714,761,219,070,144,685,934,036,244,081,
874,187,791,066,592,882,540,952,595,214,486,571,433,389,612,492,647,275,940,
000,903,930,412,602,607,358,372,875,153,030,703,201,761,237,546,333,352,750,
977,763,361,146,211,706,640,608,106,919,857,711,182,608,905,548,184,288,105,
751,026,224,342,126,935,413,715,854,049,353,148,713,169,680,073,569,590,048,
742,299,206,849,930,018,932,583,806,672,394,391,472,131,338,865,893,483,866,
474,452,831,190,411,468,705,240,781,691,991,288,919,792,825,491,251,623,968,
260,238,701,352,774,089,169,633,550,811,085,216,840,195,676,866,921,943,995,
043,573,772,057,471,941,034,058,152,557,396,227,939,211,136,883,422,508,481,
539,112,903,274,141,295,488,873,635,845,669,292,130,366,221,083,213,272,457,
163,760,492,421,209,451,478,225,105,705,567,160,240,489,768,558,709,394,264,
503,175,352,965,001,173,768,267,758,883,300,833,135,567,386,731,364,106,789,
567,446,186,387,966,314,367,323,566,717,086,722,182,469,041,063,741,012,876,
939,703,988,122,292,275,619,606,288,091,883,040,704,761,152,603,033,247,856,
583,450,208,998,278,854,999,153,659,782,701,074,135,410,788,698,286,570,635,
972,335,940,804,149,274,812,701,743,614,591,720,199,424,886,884,153,561,091,
035,111,979,365,815,852,543,466,238,321,698,853,193,374,682,264,427,218,044,
774,127,360,550,032,454,076,382,848,099,298,063,137,858,206,053,365,020,836,
991,890,776,467,743,840,633,884,000,684,760,118,452,427,749,677,650,585,915,
571,790,712,212,709,498,774,416,381,365,929,210,776,936,838,764,367,505,020,
526,494,496,337,364,885,425,578,747,971,404,369,078,570,538,201,182,828,960,
151,283,647,788,877,038,985,337,802,864,175,207,895,248,143,478,556,707,366,
019,591,272,122,817,870,053,225,985,588,801,954,293,462,883,346,468,528,370,
798,335,760,118,602,831,346,563,548,385,766,392,807,879,464,754,566,409,462,
543,224,147,951,853,399,695,923,430,334,505,480,716,271,297,548,083,247,225,
519,660,572,357,014,299,869,269,429,196,314,106,288,027,131,055,749,445,339,
185,781,433,961,847,747,693,683,381,847,558,001,181,910,166,035,204,808,346,
593,651,487,189,766,993,580,472,864,895,629,648,727,458,272,514,897,272,801,
232,551,239,639,334,722,992,615,706,546,312,182,145,717,354,950,989,385,287,
547,973,114,742,319,091,575,154,745,138,434,155,793,751,413,106,453,848,682,
730,572,398,101,916,422,599,027,779,476,505,058,334,842,682,463,855,050,675,
761,718,242,899,071,745,307,740,978,849,613,868,388,117,128,916,610,148,157,
237,724,730,600,062,931,555,243,908,055,778,410,202,352,790,969,565,207,557,
406,602,577,843,504,334,251,455,538,454,310,213,896,083,758,584,791,258,315,
663,685,667,958,288,000,728,506,547,798,463,696,415,044,502,056,437,588,213,
089,942,415,687,604,008,231,105,514,657,260,041,387,362,169,034,686,799,114,
942,055,966,494,903,759,519,207,097,500,714,023,986,667,545,824,229,202,852,
017,307,147,877,198,083,998,892,842,112,443,468,713,043,122,832,630,789,022,
535,818,027,978,958,325,737,453,460,896,088,074,968,775,924,584,626,684,691,
957,521,923,758,975,305,109,151,243,625,067,244,529,256,686,465,906,087,501,
849,549,733,785,477,869,871,635,893,877,036,826,985,147,485,254,575,078,762,
213,898,554,851,683,897,574,070,731,448,746,479,265,888,971,867,091,131,364,
144,522,365,891,665,905,858,893,225,222,216,544,635,363,923,406,683,499,315,
986,120,794,974,043,592,666,839,705,650,797,676,481,064,360,909,443,764,861,
898,135,774,917,153,194,161,470,899,750,856,111,586,436,790,029,670,543,321,
206,722,036,647,484,587,208,026,885,307,501,883,189,454,465,902,137,860,698,
950,424,916,787,747,998,372,440,232,757,635,466,123,937,299,727,416,385,648,
264,338,575,444,475,116,818,425,031,284,316,180,970,253,134,788,112,377,013,
589,655,379,500,786,381,788,066,944,435,790,601,468,710,545,951,055,094,606,
121,489,909,672,523,256,199,859,238,145,119,548,366,591,353,862,278,953,413,
109,721,569,368,823,286,167,329,830,212,901,411,561,655,551,497,850,761,695,
713,641,033,633,556,226,376,932,512,152,373,306,059,837,492,353,168,373,680,
527,155,590,215,674,902,197,268,937,858,092,811,304,729,725,626,611,988,691,
853,020,757,227,812,279,556,527,999,866,292,106,170,110,871,505,799,103,999,
794,157,188,310,593,510,163,271,855,138,405,800,039,849,061,742,688,461,375,
336,722,068,911,935,796,910,676,559,366,176,821,886,819,981,922,844,704,406,
313,533,997,099,851,803,310,623,807,684,953,576,389,080,827,534,344,850,798,
471,941,095,910,320,799,473,759,498,437,449,723,783,974,681,029,142,854,988,
312,441,848,973,497,780,552,321,895,281,914,083,844,730,531,242,453,568,128,
300,854,906,840,737,181,504,767,002,165,402,245,025,297,849,778,103,648,436,
270,972,157,306,123,405,078,078,879,242,774,635,472,731,350,703,463,508,323,
031,696,296,493,476,121,395,795,463,159,526,408,655,982,512,305,659,422,250,
513,898,088,428,777,860,008,075,426,666,275,756,947,720,775,974,652,195,453,
916,340,587,888,109,542,370,182,325,623,882,738,199,673,358,074,888,377,865,
898,793,118,394,112,151,577,277,287,841,469,139,708,918,302,255,328,586,471,
451,895,412,965,297,879,395,734,592,698,806,128,794,814,653,987,915,753,289,
021,069,472,293,753,207,425,608,021,052,688,048,109,683,872,764,210,518,767,
399,698,317,942,669,375,365,076,409,034,526,096,613,423,491,859,697,948,709,
056,268,195,558,416,461,276,668,639,256,366,643,792,499,116,997,497,617,333,
478,185,916,158,510,350,945,957,148,785,463,587,364,776,439,164,654,540,118,
974,762,141,510,330,435,150,521,298,248,480,359,740,448,148,696,818,634,804,
128,377,381,805,589,234,918,728,988,616,827,527,958,403,335,997,236,447,660,
980,077,019,605,738,737,495,277,449,456,721,181,342,448,432,637,948,668,241,
015,876,576,645,383,579,080,218,479,238,615,195,077,699,159,185,964,186,454,
040,856,883,683,577,499,509,471,808,235,730,822,246,176,373,971,162,216,636,
656,054,135,853,393,620,065,937,761,875,331,493,955,427,398,843,030,382,145,
143,214,588,282,161,088,904,343,682,186,548,003,528,694,289,688,666,978,622,
906,857,935,966,536,719,046,754,099,561,677,359,304,601,070,234,775,781,973,
776,283,282,618,596,363,279,554,609,915,279,815,235,639,469,458,201,326,868,
123,100,888,055,162,014,970,099,003,972,600,140,365,936,845,210,344,334,124,
536,106,912,739,669,255,865,943,074,376,435,742,981,293,576,533,786,040,396,
930,019,028,769,816,149,437,604,464,666,058,724,549,996,596,052,605,837,209,
744,714,875,639,580,197,657,785,420,795,771,536,745,972,532,931,812,191,664,
617,845,001,989,177,506,455,997,370,310,505,303,357,067,133,424,517,686,764,
025,772,614,956,556,900,554,077,105,129,213,420,354,346,533,110,020,782,975,
231,745,299,246,969,629,837,204,772,727,450,624,219,710,819,030,302,944,027,
387,693,432,667,837,280,494,177,965,372,429,439,468,298,079,168,677,947,231,
613,925,805,939,206,866,286,722,952,880,708,956,517,550,914,632,339,470,574,
719,971,658,806,676,978,579,428,446,424,006,459,554,454,490,109,330,099,302,
773,785,669,076,531,860,117,959,780,508,188,885,355,257,976,691,711,086,801,
596,137,923,910,339,373,802,699,916,179,484,952,357,028,942,553,057,608,540,
752,369,509,048,695,830,658,868,831,387,589,241,005,904,154,373,729,795,827,
970,461,477,888,913,146,958,157,750,333,190,526,796,636,360,465,047,806,586,
640,679,502,542,336,187,520,858,844,329,040,952,652,354,585,917,604,551,659,
036,518,533,934,806,302,615,540,896,862,208,378,445,465,124,446,183,874,245,
672,371,601,007,289,633,876,110,651,720,483,761,985,510,590,835,499,309,059,
982,937,676,139,978,269,559,083,834,460,282,810,371,179,403,420,310,899,818,
398,086,309,581,228,566,954,900,420,145,829,930,433,349,710,504,855,492,157,
605,929,297,509,651,789,503,085,919,616,200,366,271,837,946,870,864,960,754,
536,278,768,365,777,549,045,953,501,295,499,261,695,547,576,346,361,769,217,
533,374,832,242,412,515,976,584,553,965,537,392,564,898,700,367,399,185,364,
423,713,382,855,268,608,925,410,750,991,843,466,143,769,881,842,457,604,523,
610,805,817,452,228,608,689,035,054,065,937,582,686,688,820,230,389,753,941,
088,292,178,731,376,424,080,925,940,442,855,061,791,658,393,341,247,404,326,
456,285,708,450,393,144,653,369,854,378,750,487,433,067,838,540,997,332,375,
253,379,277,324,391,064,065,232,485,017,030,136,209,411,006,308,246,423,179,
914,753,491,214,572,445,298,554,041,057,821,098,559,203,487,587,960,636,813,
365,927,429,893,225,528,944,231,560,471,196,109,523,358,658,935,323,553,033,
234,927,596,311,565,035,945,619,067,185,695,726,896,456,957,957,855,517,907,
343,775,318,928,743,193,889,716,165,363,649,074,147,745,227,521,609,232,633,
378,411,775,425,283,263,617,297,781,474,346,445,884,407,264,205,331,959,803,
990,530,159,526,815,341,202,457,337,468,348,362,306,793,109,419,887,710,130,
568,294,892,472,124,158,159,453,718,385,354,849,651,033,897,656,607,983,992,
305,269,649,545,005,730,318,148,591,533,298,764,418,125,830,363,595,591,030,
940,905,403,656,075,716,827,831,255,901,793,391,427,471,629,447,921,134,955,
621,632,630,093,086,879,491,366,738,520,024,333,826,456,285,214,796,611,475,
420,851,997,596,170,248,820,551,643,402,645,984,785,111,260,519,469,462,783,
143,301,522,347,031,669,882,674,536,668,105,271,535,980,394,976,880,945,948,
640,666,570,827,291,050,259,897,523,345,484,832,572,846,106,369,291,539,163,
696,880,876,852,268,411,009,638,218,197,278,129,951,608,008,037,683,678,268,
889,163,719,882,540,058,687,213,830,621,517,924,711,335,298,456,263,252,971,
402,645,164,154,559,321,185,498,399,974,993,806,783,520,039,320,447,374,813,
692,521,210,865,677,845,684,631,902,378,347,533,354,995,215,096,513,279,584,
015,571,114,628,622,714,492,035,048,128,482,042,346,819,272,500,989,829,009,
853,956,567,253,101,259,332,527,073,516,318,808,016,513,771,372,144,299,407,
928,450,204,436,215,548,837,028,092,277,661,666,540,980,026,848,566,589,472,
535,704,651,492,848,618,391,485,512,343,167,076,961,408,932,942,072,064,583,
795,749,511,358,523,035,130,234,709,857,606,220,873,122,348,726,427,646,089,
960,866,140,984,930,219,932,297,517,016,190,883,914,947,014,974,416,573,789,
916,020,759,778,931,171,374,284,368,485,121,898,762,942,126,375,773,653,436,
258,796,449,957,467,855,264,991,748,252,911,339,478,035,209,446,568,597,813,
667,883,883,576,277,535,218,436,154,228,980,506,530,317,307,083,501,812,933,
488,363,554,006,224,013,468,653,808,150,775,081,896,918,622,928,098,214,607,
065,492,318,405,834,020,478,812,683,545,615,106,356,849,854,887,507,306,299,
610,938,051,397,766,846,895,323,607,577,027,288,759,335,770,232,487,415,050,
255,592,210,391,240,913,843,140,307,475,745,377,901,266,886,824,867,230,287,
199,878,074,628,089,537,558,789,431,003,858,301,590,140,828,884,191,041,803,
688,665,047,717,446,554,497,723,388,349,947,482,687,325,190,337,717,592,840,
780,274,989,172,701,416,878,932,854,175,431,607,781,188,969,305,096,727,987,
667,803,034,268,381,240,530,072,760,212,491,449,202,337,815,258,491,480,229,
100,532,762,390,571,365,790,493,855,543,957,387,111,272,627,036,373,785,537,
132,542,131,316,330,075,018,060,776,580,507,985,398,451,755,562,782,518,394,
620,162,407,701,532,989,007,807,354,593,256,702,741,471,541,373,574,080,669,
575,798,480,859,984,322,254,272,352,735,386,627,922,157,655,405,508,486,658,
321,362,306,762,545,652,251,507,900,235,093,035,204,469,398,837,356,447,977,
442,801,349,339,567,323,280,131,930,505,722,839,954,690,799,832,048,493,294,
698,535,519,894,060,427,378,523,710,030,622,636,569,846,789,244,292,240,728,
695,589,276,823,009,464,958,015,741,646,029,478,029,655,393,013,112,708,194,
620,436,044,222,585,379,590,198,139,476,923,668,052,049,654,998,032,393,208,
328,155,932,642,618,571,826,972,485,803,273,426,635,243,107,774,250,775,058,
915,817,672,236,782,225,820,188,335,407,455,530,033,213,451,602,221,852,257,
419,000,826,974,441,731,857,417,867,473,467,679,299,699,971,533,363,845,532,
203,763,539,219,875,964,755,204,579,998,095,957,396,222,918,878,361,630,445,
366,482,265,057,499,022,676,127,221,207,586,759,435,552,260,228,246,551,685,
122,252,205,804,631,875,214,722,011,719,950,107,642,837,538,113,649,989,548,
381,977,777,462,655,200,176,563,748,307,280,175,497,208,006,961,746,185,968,
620,915,815,892,962,992,063,967,322,492,150,902,687,754,746,901,895,282,835,
640,046,196,181,939,367,304,647,197,884,507,835,377,873,200,135,362,334,493,
759,752,671,782,025,045,341,171,432,859,368,410,430,953,807,933,195,207,412,
531,584,905,196,389,743,964,741,882,331,783,204,001,146,577,894,624,867,099,
595,105,777,191,639,882,032,801,452,151,041,329,697,696,212,259,214,650,142,
272,089,714,994,250,096,560,348,746,252,924,289,555,172,735,819,529,092,127,
769,904,785,584,968,867,350,451,023,640,747,043,571,744,525,313,247,205,863,
023,558,965,068,482,304,497,700,579,928,952,533,782,013,370,668,182,214,439,
817,536,183,561,688,563,806,098,643,724,963,131,959,933,362,777,125,828,964,
628,259,327,811,122,661,145,169,815,294,611,762,551,234,935,281,568,180,118,
261,090,927,522,690,379,928,935,953,496,582,797,080,213,837,845,757,713,606,
065,854,893,483,820,697,682,260,829,336,128,327,766,515,296,849,411,983,872,
579,157,277,257,057,792,681,980,114,699,576,902,060,767,478,923,140,682,183,
406,685,252,015,579,781,710,151,389,501,671,488,287,613,270,417,795,778,108,
184,041,447,301,984,815,287,669,892,358,810,358,955,039,018,930,232,369,991,
825,446,003,668,648,622,570,356,221,453,702,829,385,926,174,396,788,761,834,
797,495,555,120,158,223,631,929,796,411,196,828,996,599,629,488,376,917,772,
169,603,248,793,884,617,841,040,674,834,945,395,554,379,932,387,836,355,898,
254,449,511,091,288,293,692,754,301,153,160,861,423,106,713,252,093,189,996,
473,873,677,509,857,766,944,562,253,452,166,798,687,610,469,450,756,258,820,
520,973,503,364,741,081,210,051,153,890,384,505,746,696,906,407,474,416,503,
180,288,546,430,666,655,115,330,545,316,438,834,054,721,109,979,448,662,166,
377,567,845,624,891,640,621,218,330,010,668,885,633,211,704,669,997,290,554,
031,734,718,328,183,204,395,301,889,349,897,806,379,336,734,764,660,001,765,
907,479,060,053,210,005,066,034,990,743,573,437,953,723,995,875,385,203,433,
413,815,399,909,158,255,774,934,486,007,901,286,504,008,323,421,639,349,674,
169,702,798,622,051,038,473,933,205,541,843,512,376,331,185,313,099,026,454,
846,767,628,323,378,559,012,639,414,743,586,521,021,061,190,378,105,314,699,
383,090,090,026,478,797,354,859,085,857,089,806,166,507,105,330,559,692,924,
015,175,070,116,014,913,856,403,451,798,996,122,630,446,801,835,946,795,191,
491,260,290,027,513,671,833,967,971,555,247,712,652,003,923,810,709,446,851,
675,636,284,904,506,037,206,135,858,666,321,667,928,993,574,860,113,984,655,
685,913,422,485,183,121,676,974,167,042,389,451,429,511,737,248,561,832,428,
495,972,590,606,739,380,837,959,183,638,226,048,955,513,051,508,923,619,706,
579,634,726,206,953,493,559,115,957,818,918,399,719,556,574,788,882,312,351,
411,196,960,834,242,964,251,364,233,081,722,774,448,928,859,717,966,960,116,
936,597,517,778,806,894,628,092,563,024,671,522,425,398,666,743,912,241,296,
078,930,978,116,991,250,613,986,949,411,037,903,082,760,473,609,713,869,712,
326,764,632,660,136,638,478,820,705,485,644,650,314,477,576,978,404,721,675,
232,530,127,498,586,588,893,135,438,514,521,709,986,701,222,732,655,236,021,
151,426,341,236,968,362,926,137,590,278,325,693,610,777,346,339,657,812,671,
696,526,128,649,404,124,237,896,288,571,097,960,776,463,929,870,964,720,533,
356,921,177,072,636,960,337,054,934,697,815,234,586,602,236,729,706,329,567,
638,792,326,677,258,833,189,924,969,194,771,182,744,844,842,789,047,389,749,
027,626,322,759,896,972,950,746,859,235,018,939,879,748,886,716,004,093,140,
491,886,122,770,454,069,810,215,735,187,607,503,445,152,191,159,272,088,352,
008,075,862,346,084,384,297,870,811,967,578,870,932,365,696,943,474,972,323,
302,513,288,465,211,676,512,009,694,500,030,526,815,880,021,220,363,740,120,
747,212,482,147,469,585,090,553,355,233,988,988,431,439,872,252,360,358,648,
292,329,121,362,442,592,817,822,970,770,447,487,464,547,638,883,581,014,771,
442,552,974,002,794,762,455,777,883,246,041,125,073,617,635,609,850,904,100,
709,550,791,404,901,630,131,886,547,584,622,001,688,276,969,066,325,227,405,
998,656,668,144,563,711,436,517,650,809,261,001,518,365,804,614,984,647,237,
709,604,616,208,158,654,495,463,403,706,759,230,309,844,065,240,147,162,267,
778,683,874,733,940,185,913,113,867,413,326,845,562,983,141,794,330,786,220,
791,617,851,528,998,694,624,161,552,373,171,395,935,027,739,505,706,451,287,
764,173,276,665,305,437,012,671,179,932,224,725,909,647,211,539,613,191,475,
259,516,194,530,907,577,407,411,268,769,035,831,428,375,635,825,403,590,906,
390,789,129,190,625,994,351,118,783,606,073,350,594,771,124,131,139,705,387,
513,697,159,652,219,176,090,262,213,432,319,925,573,412,618,961,942,502,145,
894,186,355,976,144,727,091,271,598,787,596,505,813,508,925,630,297,895,984,
649,881,341,016,859,039,527,325,928,290,163,690,849,816,710,222,119,269,838,
828,278,326,319,801,374,863,735,197,888,578,960,595,294,232,356,610,029,054,
484,076,413,030,608,167,717,301,016,686,810,277,713,625,492,059,250,483,198,
349,504,893,797,404,842,448,736,869,451,281,540,868,435,674,215,140,295,809,
771,689,393,249,459,432,630,982,489,632,913,716,424,385,766,568,100,983,095,
072,482,060,257,854,868,762,397,550,597,654,553,326,571,179,035,857,228,189,
652,563,471,673,614,863,085,181,625,666,651,630,271,501,874,849,375,569,880,
328,704,871,170,587,886,429,579,041,904,749,880,739,084,515,271,847,893,716,
851,048,484,219,849,331,165,943,053,930,924,986,449,916,700,645,556,219,276,
397,966,944,342,745,380,178,255,426,673,598,750,192,972,726,116,361,597,425,
397,348,349,050,693,567,820,467,493,148,484,747,085,844,645,831,340,378,007,
936,640,616,542,088,344,914,308,620,695,680,922,913,345,089,289,048,193,871,
029,499,060,705,155,303,865,451,462,271,078,202,977,663,529,359,353,116,435,
838,788,055,710,780,388,157,433,805,059,691,403,085,513,452,437,086,236,972,
492,319,688,138,487,844,427,558,052,478,006,929,228,828,940,132,408,864,854,
618,946,440,048,224,889,229,372,201,025,485,002,041,349,358,420,640,027,435,
798,075,077,497,397,093,273,127,352,936,370,391,657,682,691,136,054,787,895,
375,758,785,519,352,465,366,177,180,460,041,306,859,839,351,212,095,110,852,
425,460,953,586,354,710,549,906,168,278,697,101,145,165,927,074,485,776,886,
981,173,981,355,667,439,012,696,799,347,522,189,750,030,898,164,246,076,335,
996,130,937,133,975,211,354,658,013,282,445,422,413,519,124,341,235,289,853,
741,518,844,713,383,746,873,443,537,796,198,887,509,426,634,112,079,068,137,
706,737,517,563,283,743,621,838,331,272,978,101,546,848,291,441,804,137,801,
928,223,777,809,410,454,255,283,546,766,378,368,380,986,127,151,860,388,280,
328,768,871,553,826,510,168,105,257,581,867,460,532,786,727,297,753,353,191,
800,339,354,018,597,686,263,355,088,861,848,804,050,448,571,545,754,856,422,
054,274,419,762,381,841,033,488,425,258,313,999,895,545,633,106,598,660,630,
884,467,566,750,343,236,375,638,643,841,925,507,257,648,554,278,454,793,990,
957,517,058,200,497,724,755,422,168,835,520,037,699,628,406,496,908,079,537,
740,068,098,066,219,187,174,109,687,373,925,992,251,387,262,541,897,063,795,
662,810,392,630,789,754,972,087,538,770,711,064,642,568,416,426,104,544,725,
837,880,572,237,471,865,599,978,114,818,163,425,244,540,075,207,483,003,955,
738,743,049,529,463,656,351,454,204,389,764,307,424,213,394,950,250,756,002,
546,828,590,535,468,821,961,110,863,757,231,816,657,120,881,955,850,003,269,
652,434,382,640,626,894,447,551,525,418,197,669,744,570,572,912,001,886,060,
301,552,195,359,476,462,180,549,152,189,110,158,000,187,860,643,266,670,459,
612,818,290,403,488,614,876,255,493,793,767,629,809,722,306,635,287,889,203,
897,170,399,641,377,041,101,023,628,301,125,158,695,146,648,771,053,281,343,
783,253,827,692,305,601,653,586,826,870,939,926,687,003,717,777,449,491,557,
314,326,910,704,252,041,768,856,196,864,732,368,005,317,463,815,272,096,433,
149,482,587,093,279,297,851,569,432,682,127,897,587,492,714,793,158,492,930,
622,591,067,733,876,032,887,309,284,180,844,471,231,641,981,673,801,758,857,
225,395,993,922,209,218,127,499,209,004,074,734,891,274,141,714,375,029,141,
725,385,089,911,177,404,187,816,493,195,033,196,499,630,254,454,144,582,072,
929,383,223,849,683,037,937,922,374,843,284,195,867,212,123,205,464,548,617,
650,501,863,982,084,156,793,731,910,417,058,285,032,149,738,821,160,036,288,
579,563,526,985,828,617,346,483,203,382,579,898,395,541,307,142,577,528,944,
506,034,683,046,406,552,529,531,528,031,748,413,858,450,050,741,248,920,640,
137,842,880,798,468,653,720,945,902,919,972,342,287,949,431,477,757,084,882,
623,998,732,382,127,425,248,746,597,313,867,357,694,757,911,241,912,380,581,
457,228,749,564,047,360,801,299,034,549,501,583,601,083,261,450,218,509,791,
357,760,266,874,329,781,903,217,973,294,804,790,746,570,849,299,246,540,106,
176,883,443,804,197,718,645,423,691,351,475,587,390,412,843,595,265,703,875,
898,250,630,567,885,931,594,542,039,999,302,191,531,982,832,498,298,526,073,
262,154,507,913,022,841,478,653,626,567,586,709,145,007,774,784,863,962,386,
334,869,853,134,505,963,264,010,296,681,952,283,373,931,796,349,912,166,940,
520,880,586,053,965,417,739,758,876,572,649,771,257,986,873,059,131,768,688,
734,359,683,761,604,200,564,011,992,341,130,564,430,317,741,095,261,361,972,
662,898,585,034,828,796,885,130,596,357,826,689,661,987,288,027,666,355,701,
173,087,992,883,574,159,458,119,200,028,155,896,582,084,902,278,573,096,956,
723,251,955,421,041,054,155,920,553,470,428,811,032,733,828,882,305,972,542,
825,525,570,127,722,256,229,570,486,721,366,272,926,487,223,354,419,081,337,
881,573,615,932,796,998,448,794,198,376,499,860,823,055,033,912,584,372,949,
963,069,645,924,845,022,089,891,191,185,295,449,042,259,238,704,339,121,094,
509,926,369,349,693,013,169,930,845,537,020,137,035,006,103,989,469,757,135,
363,214,780,883,822,483,233,800,897,156,817,718,310,395,491,434,983,682,135,
144,341,351,659,338,071,335,198,163,012,138,008,969,957,010,067,369,198,371,
312,713,938,766,151,980,451,674,692,211,309,788,388,813,749,714,934,435,661,
607,615,199,755,437,932,007,623,708,118,702,423,073,258,595,535,746,312,793,
157,809,642,985,428,825,193,650,450,892,776,581,720,137,653,092,656,638,911,
879,115,114,539,286,083,088,909,930,715,875,645,663,100,979,474,170,021,072,
528,108,526,177,367,173,231,104,407,049,450,619,229,506,207,871,039,825,344,
795,017,927,499,771,356,070,725,269,654,723,169,889,005,309,996,979,926,491,
267,463,941,269,223,531,659,279,845,172,399,555,931,729,356,847,923,451,341,
714,322,043,576,300,625,488,751,235,797,729,060,458,891,356,463,619,182,143,
713,619,760,777,497,647,644,171,112,408,907,475,791,711,776,708,917,528,196,
304,614,735,735,699,621,362,447,876,291,746,730,084,599,055,680,582,673,271,
046,911,510,075,669,964,631,554,019,136,529,959,090,004,270,706,959,214,973,
570,998,377,015,569,716,866,116,032,647,723,153,248,181,967,014,259,927,048,
996,039,449,198,926,661,537,237,366,556,190,742,652,406,454,335,951,120,436,
892,229,804,099,419,323,516,247,626,623,116,751,276,751,378,829,589,904,492,
819,323,768,275,268,778,578,650,288,708,984,604,400,411,240,204,042,983,167,
777,535,202,286,418,064,566,530,532,340,533,712,032,941,512,332,896,887,522,
807,366,669,391,384,671,700,032,003,652,683,693,624,070,253,237,109,838,733,
092,501,502,239,337,953,976,612,621,681,975,634,677,018,436,214,299,006,104,
716,450,277,075,850,511,341,137,796,747,489,157,508,463,330,437,051,018,292,
742,016,257,435,464,192,862,752,661,883,066,340,993,554,616,831,198,739,101,
251,800,616,819,898,598,368,393,322,579,658,794,063,617,252,407,867,762,475,
228,150,144,221,526,349,748,875,597,924,455,048,507,257,917,208,801,280,361,
682,200,603,028,612,103,739,419,150,657,742,040,118,367,678,823,287,920,751,
430,423,306,982,358,274,946,533,598,999,190,289,093,694,655,812,054,275,877,
186,571,172,686,348,995,112,938,718,790,070,178,041,958,748,268,143,450,567,
034,183,621,196,243,718,240,731,738,356,770,371,459,562,626,196,726,514,363,
808,211,122,305,249,056,550,541,326,890,958,943,405,098,572,957,333,045,642,
718,672,981,879,159,099,606,938,613,915,580,789,892,790,955,292,923,405,119,
503,893,177,394,423,554,385,849,674,162,869,302,362,563,577,618,615,427,485,
551,164,438,472,759,183,638,683,399,705,617,384,598,205,671,030,659,515,119,
938,597,511,561,354,103,425,004,866,865,109,316,486,206,191,240,742,955,933,
001,789,594,173,376,281,919,451,256,390,850,262,749,138,057,127,852,889,025,
508,154,819,042,299,692,196,901,485,964,768,275,510,533,782,861,766,876,465,
421,012,661,813,718,627,428,005,752,115,284,608,853,753,687,287,879,089,375,
834,463,944,967,778,033,695,916,246,211,161,449,825,259,219,944,246,714,731,
163,728,347,923,176,033,602,935,556,733,601,972,934,059,287,587,572,009,311,
340,201,250,816,060,496,092,179,167,991,878,577,289,515,557,163,254,649,206,
754,589,622,033,319,577,575,033,379,506,068,132,693,663,309,323,006,103,504,
152,048,621,733,099,763,647,336,249,151,548,205,766,729,918,306,055,890,960,
007,418,729,919,991,605,381,902,897,334,495,489,730,653,257,335,990,667,775,
945,790,565,224,364,557,101,357,074,609,193,173,698,661,826,074,619,720,394,
384,982,121,837,839,937,572,532,176,126,499,035,969,362,298,270,277,833,115,
940,722,461,576,320,696,801,610,356,450,327,617,572,785,766,893,853,491,820,
328,379,034,564,086,118,038,858,951,441,238,088,225,251,559,183,048,464,644,
714,509,046,371,624,359,962,684,921,910,384,136,416,471,147,310,885,734,606,
538,711,779,456,001,449,357,652,924,155,104,979,018,786,429,051,513,505,260,
704,714,645,807,878,452,269,052,842,261,601,985,110,988,907,695,100,477,393,
913,974,981,158,748,407,196,115,336,346,686,362,150,498,552,061,583,819,389,
571,030,570,844,014,126,550,479,486,663,383,827,251,392,140,035,454,976,614,
923,269,685,824,157,161,627,112,725,706,328,056,075,323,492,001,719,286,075,
193,559,949,741,458,921,750,193,222,111,744,621,219,000,581,103,629,490,546,
090,229,808,543,550,763,625,009,722,030,168,137,691,846,462,312,641,734,964,
609,111,343,446,351,813,418,722,969,208,226,786,290,715,414,128,697,408,340,
143,834,643,476,491,412,601,015,060,754,648,915,148,689,857,185,111,121,794,
872,011,697,703,410,509,308,947,424,225,951,628,846,389,047,394,290,239,519,
794,925,441,842,903,663,387,049,304,523,779,982,975,355,664,584,330,726,841,
256,924,952,880,360,407,501,333,645,697,283,016,644,378,608,278,538,729,741,
921,874,579,684,389,052,617,842,899,087,432,406,622,909,597,993,757,042,656,
956,280,923,744,986,049,906,771,182,877,840,226,055,263,250,237,053,137,194,
046,126,428,466,408,598,527,632,594,559,809,139,384,597,008,401,568,292,585,
887,246,466,336,236,068,575,314,741,133,851,848,651,196,933,864,195,727,450,
016,842,174,892,855,569,249,365,793,335,111,915,475,665,366,101,289,378,455,
945,793,521,075,811,987,247,531,445,719,596,849,414,090,497,926,981,394,861,
217,312,831,011,390,806,705,998,060,677,301,327,890,117,687,373,203,684,824,
622,417,716,325,253,762,635,446,041,846,414,531,644,875,630,643,260,144,822,
474,097,861,599,246,706,115,484,753,514,792,603,120,310,306,033,343,827,740,
156,650,366,785,266,347,445,272,863,914,718,686,983,696,506,646,301,654,367,
546,480,359,812,563,171,706,493,669,183,688,575,637,889,082,322,953,503,948,
313,956,523,324,774,608,686,379,611,568,097,642,016,011,378,464,461,397,484,
296,324,762,819,012,353,707,140,276,283,744,263,921,839,255,072,247,265,732,
457,811,076,950,277,977,709,920,656,126,149,321,539,544,640,895,397,078,686,
570,169,081,026,073,108,712,512,745,927,770,475,718,920,068,271,180,845,579,
247,365,988,266,412,638,393,780,665,488,038,223,687,892,441,373,947,333,542,
780,311,203,299,594,931,920,705,989,357,561,074,484,592,424,404,454,338,531,
895,438,195,964,395,508,295,592,008,109,577,636,489,752,275,021,589,704,246,
060,689,712,476,570,593,941,564,777,167,216,848,106,040,678,194,550,171,879,
218,233,566,714,947,641,355,034,358,501,446,206,475,947,835,565,137,978,716,
411,083,567,496,375,708,001,018,878,554,454,007,548,027,665,175,975,424,918,
262,825,064,601,934,896,087,264,893,831,689,724,915,623,611,513,708,579,504,
506,234,880,479,133,334,315,531,830,856,861,784,094,169,378,130,718,753,247,
352,647,245,956,317,463,848,392,686,869,210,222,130,776,546,605,876,604,253,
726,039,315,877,790,172,859,544,531,076,619,919,349,993,678,982,501,977,262,
931,362,052,255,416,951,080,335,145,631,623,467,379,672,126,095,842,677,823,
444,813,892,566,979,199,847,874,105,840,803,665,466,700,766,537,795,925,130,
549,260,550,000,782,208,002,085,996,036,388,895,102,265,776,913,745,790,217,
388,818,938,843,937,686,856,108,439,759,511,668,186,046,256,853,499,144,109,
003,349,662,035,364,470,428,092,370,595,746,155,354,002,933,189,415,606,095,
939,704,524,417,998,377,031,544,344,466,479,696,786,880,731,272,721,548,853,
687,474,790,564,121,754,057,957,805,831,427,238,358,278,396,736,030,557,745,
666,619,226,484,379,781,686,303,899,231,742,445,526,019,808,702,010,078,248,
822,763,529,610,011,852,790,507,738,426,092,735,618,111,547,780,682,267,802,
515,722,888,555,781,656,917,475,271,552,024,035,322,422,678,238,261,074,835,
752,454,183,056,969,362,554,388,067,144,595,379,272,460,462,136,488,867,896,
722,969,266,233,190,697,018,511,645,722,109,719,194,235,561,851,230,272,018,
982,240,498,581,556,188,469,260,922,888,100,791,854,019,057,705,990,313,907,
348,691,504,417,433,380,332,686,624,217,748,225,904,939,095,612,352,388,766,
528,298,874,843,065,285,382,484,492,559,896,389,309,906,619,331,779,158,954,
549,117,066,202,752,245,648,739,392,297,807,222,720,940,698,295,155,434,892,
432,207,227,453,856,081,012,017,426,583,609,301,923,294,270,648,235,489,494,
583,998,637,924,065,553,671,182,140,639,850,566,164,887,978,576,236,165,841,
823,950,047,766,231,745,261,687,175,340,465,564,738,075,895,807,787,760,669,
318,234,947,378,699,075,184,417,722,396,099,418,556,363,874,153,818,048,722,
528,077,772,057,796,571,918,271,744,606,116,326,416,652,197,357,574,971,257,
387,497,306,610,700,934,601,269,877,946,956,386,118,277,233,524,302,965,910,
905,491,227,081,425,010,953,174,684,997,649,797,153,566,432,497,987,489,862,
296,967,946,453,660,425,018,618,492,846,506,960,206,898,743,757,138,184,547,
482,743,974,456,827,615,215,972,899,414,924,315,566,347,510,873,734,536,776,
738,343,442,379,201,455,045,925,613,792,839,083,223,155,563,590,368,813,219,
276,754,737,165,618,029,939,829,719,832,120,620,304,421,228,903,295,769,986,
582,123,292,608,126,697,767,372,258,906,879,262,485,233,297,305,791,337,004,
979,168,190,742,683,830,096,103,013,992,577,468,294,653,501,380,809,360,590,
684,240,572,084,401,887,952,788,232,341,513,292,146,268,184,477,294,932,347,
293,313,371,611,090,892,430,784,246,067,085,310,746,237,066,330,549,948,788,
455,187,007,053,033,668,729,956,442,762,832,569,702,002,412,821,727,621,293,
212,980,595,023,193,131,700,818,758,490,738,236,235,610,158,726,998,816,746,
013,376,698,281,539,641,038,847,363,800,922,128,343,192,931,361,812,645,101,
914,064,851,850,764,562,215,340,436,603,760,866,830,769,904,625,864,721,057,
693,283,606,631,497,841,327,647,850,243,266,289,042,812,504,522,639,976,883,
928,427,030,275,183,192,387,915,025,579,014,643,094,666,300,047,183,346,227,
881,246,542,937,444,987,205,628,682,836,571,336,330,404,781,072,096,507,298,
406,332,066,385,007,031,565,367,011,779,032,844,139,497,901,590,879,466,220,
485,317,694,241,105,872,027,801,717,429,866,303,836,921,877,002,868,412,865,
497,507,535,914,052,029,705,866,218,719,782,973,523,154,780,289,142,138,819,
594,696,969,902,703,374,118,715,102,253,641,868,726,560,374,743,290,638,942,
006,397,287,117,889,841,381,970,369,896,614,515,329,831,574,187,218,003,273,
301,708,190,351,430,567,706,899,088,180,793,199,263,604,571,611,987,233,038,
772,110,001,716,678,929,323,873,356,704,001,974,291,817,887,476,169,602,345,
563,041,337,443,957,090,289,243,519,230,482,226,912,954,025,263,946,904,005,
566,895,143,804,272,679,056,454,580,516,095,418,766,204,619,316,880,475,323,
650,010,472,157,614,082,922,062,690,657,632,552,528,945,828,362,040,783,150,
127,571,066,107,587,942,012,361,332,188,743,292,123,600,823,940,277,604,191,
716,615,112,772,495,811,932,337,740,201,628,242,922,220,801,590,821,401,163,
832,816,955,798,285,595,093,318,755,698,372,207,414,929,673,045,388,315,254,
883,163,629,993,468,854,161,953,807,182,312,214,602,622,388,974,145,002,713,
250,172,014,815,933,325,647,302,837,727,553,083,903,265,826,375,638,081,645,
902,935,424,730,233,736,549,244,848,392,901,698,888,569,638,141,730,480,772,
548,720,434,371,041,460,765,147,070,555,248,926,771,208,848,390,175,576,670,
499,110,826,285,527,727,955,182,288,743,662,389,201,950,055,812,719,926,611,
310,640,440,676,593,757,117,055,328,347,785,925,227,982,505,336,314,322,461,
449,073,296,956,443,947,757,573,340,576,644,291,108,198,924,456,757,202,724,
596,076,786,241,569,804,472,724,337,902,844,007,663,482,820,741,552,384,858,
153,286,230,704,702,477,982,688,088,819,195,175,338,691,112,015,493,495,959,
442,584,047,575,336,995,665,413,893,554,490,618,170,600,973,595,345,839,408,
483,691,337,875,779,075,125,655,044,289,068,653,119,027,557,412,474,758,479,
767,755,045,788,472,431,468,618,928,546,823,968,661,244,365,410,933,458,620,
754,990,812,802,726,598,020,092,732,426,846,170,041,601,057,166,692,450,107,
711,189,800,572,422,706,967,158,503,204,437,641,648,425,851,945,399,086,592,
573,309,053,888,164,193,258,664,288,039,662,247,771,288,492,328,343,085,411,
793,513,961,097,708,690,459,851,588,874,553,806,706,993,457,702,536,497,422,
547,345,586,585,956,223,097,713,401,533,505,585,013,087,537,383,011,310,699,
818,450,266,808,804,720,514,961,249,046,417,347,214,718,872,961,129,000,741,
967,353,097,818,772,227,672,760,972,807,031,830,748,896,000,824,645,318,162,
530,471,704,348,480,094,615,517,010,303,385,942,229,849,249,590,152,316,184,
609,876,055,663,657,724,731,367,945,192,349,091,096,902,139,173,677,928,729,
730,475,364,899,102,292,267,561,327,314,664,864,220,577,649,598,019,498,559,
904,769,937,078,028,684,265,278,409,985,317,724,541,770,025,583,673,432,011,
034,386,898,634,945,395,981,690,793,340,561,542,128,351,216,753,261,925,412,
233,631,506,427,818,348,981,309,129,943,173,085,198,865,983,869,593,029,968,
715,633,631,852,276,378,640,105,145,222,325,598,132,434,723,829,675,001,538,
071,117,663,221,009,752,198,906,783,948,387,469,579,481,978,133,232,367,389,
108,370,694,044,303,450,722,998,597,625,283,121,491,568,049,393,475,675,699,
177,251,126,282,319,700,313,134,105,219,754,290,628,167,255,379,067,262,753,
644,249,374,959,264,061,314,657,198,980,217,052,923,963,321,590,591,743,501,
795,346,682,618,547,660,999,973,330,717,753,654,485,600,807,934,178,623,762,
945,845,488,181,617,933,299,291,515,168,849,730,278,029,667,445,462,286,294,
056,539,173,325,349,475,364,621,935,801,239,156,952,263,840,035,706,856,092,
955,354,460,507,048,964,323,275,878,226,403,915,453,351,317,129,959,345,551,
574,680,620,112,197,383,079,078,739,879,461,047,508,958,874,668,224,400,805,
175,340,700,982,002,277,419,167,899,150,241,711,774,300,722,801,989,518,354,
272,979,089,867,966,637,957,524,064,847,942,412,952,302,818,091,320,988,886,
396,957,598,156,846,339,580,189,839,950,950,800,158,053,497,290,763,976,450,
503,839,386,981,170,160,098,588,493,385,485,416,540,895,781,269,981,954,011,
796,897,985,639,715,559,840,737,824,179,247,153,557,687,399,754,731,564,344,
530,300,897,147,291,550,198,896,779,632,034,732,668,176,545,722,714,218,261,
560,066,114,170,836,302,886,685,248,828,005,480,020,278,935,682,905,714,089,
774,965,490,772,784,025,033,582,418,130,253,750,349,170,245,389,058,208,512,
346,195,912,611,184,973,102,396,123,483,829,973,948,001,437,142,593,426,010,
144,797,056,825,979,295,352,831,284,947,840,477,772,548,638,133,554,977,749,
312,638,596,365,575,299,496,426,095,102,460,596,895,791,989,343,522,569,215,
159,166,965,600,726,124,304,158,066,177,922,339,911,968,109,544,574,145,367,
455,004,470,931,512,273,097,657,632,892,709,885,487,095,156,287,619,140,030,
097,451,380,769,974,740,739,215,868,814,007,175,114,208,573,517,073,191,406,
378,375,906,608,327,097,037,124,126,065,015,865,742,599,895,876,092,035,777,
889,076,059,351,363,712,211,057,262,694,147,493,978,618,002,182,793,363,322,
560,621,965,501,953,371,883,736,469,090,829,058,583,536,590,558,791,635,962,
335,752,153,171,796,444,236,608,922,544,968,857,077,296,636,632,354,018,049,
076,512,974,112,196,935,843,459,415,851,209,231,719,160,401,156,640,932,954,
741,399,353,916,899,709,748,627,883,617,349,163,806,044,884,488,183,623,774,
618,157,599,266,654,373,534,747,092,880,131,794,270,299,748,718,563,116,793,
243,901,262,261,894,040,004,523,383,320,891,336,036,608,576,075,543,197,946,
173,089,382,067,163,327,442,153,966,629,191,689,374,499,026,327,965,440,505,
751,834,770,768,317,060,880,829,590,347,495,459,448,198,886,925,993,546,743,
363,809,550,449,764,803,815,101,732,765,800,545,758,965,568,889,227,477,457,
351,429,096,273,518,847,380,534,683,647,417,701,759,083,985,519,357,049,124,
454,966,448,712,412,993,762,912,915,718,975,051,102,415,541,385,020,654,702,
681,615,022,576,803,227,882,608,934,106,870,685,202,036,787,870,365,359,603,
838,057,274,436,886,480,831,038,398,420,995,008,270,987,460,770,659,172,216,
038,347,691,825,195,303,774,477,045,303,526,772,507,051,417,401,524,379,700,
969,576,213,813,211,925,418,425,962,375,486,969,055,022,350,509,427,905,677,
077,009,407,067,628,284,006,149,360,158,068,504,774,837,133,760,488,653,864,
046,068,900,010,930,601,183,327,697,917,004,530,236,973,300,522,028,134,342,
787,767,046,371,919,132,540,262,294,665,636,858,687,663,320,380,679,428,826,
548,508,300,344,150,163,337,523,244,794,102,351,008,333,753,482,874,141,688,
665,659,262,725,816,095,054,984,980,356,355,623,621,027,763,572,245,621,433,
935,014,981,269,287,197,074,028,927,137,923,054,998,257,079,854,090,036,866,
850,470,535,512,876,509,295,609,335,579,537,580,931,720,980,014,130,522,997,
919,704,314,799,428,918,917,484,018,803,214,899,843,731,439,765,113,196,720,
243,751,060,328,893,380,134,829,337,715,553,660,819,213,816,577,632,578,961,
526,861,762,057,544,168,148,545,541,624,434,471,889,587,456,435,240,548,411,
883,413,452,818,650,332,856,880,755,870,387,729,802,244,228,965,577,957,026,
105,882,401,170,938,094,235,030,100,215,851,994,592,020,334,380,215,404,019,
018,083,768,057,523,034,662,597,460,397,721,504,020,626,915,076,937,897,568,
969,111,729,857,102,966,872,312,146,373,185,114,837,130,065,696,857,986,970,
087,968,151,253,861,250,976,302,207,651,698,648,437,407,491,359,093,541,955,
266,756,755,742,696,548,852,941,138,906,801,592,693,684,933,636,453,452,707,
449,471,917,416,384,611,213,996,664,213,760,328,094,335,886,424,186,980,711,
323,521,420,205,652,589,313,473,002,395,835,714,641,937,150,861,794,889,239,
123,284,660,227,121,509,480,234,532,017,807,012,265,540,743,589,393,363,711,
998,990,601,165,001,271,410,002,902,682,191,584,127,998,930,413,646,675,149,
565,785,780,321,988,308,097,578,293,175,193,482,916,954,979,801,210,148,054,
448,767,101,858,966,870,619,551,942,103,119,910,667,394,507,857,837,143,384,
338,939,692,094,481,378,733,547,008,610,044,716,367,559,036,615,767,772,752,
123,321,520,173,098,775,786,507,821,721,193,696,651,030,500,015,459,582,425,
413,319,348,785,525,576,460,369,636,545,216,202,159,248,874,778,472,678,684,
186,326,345,478,375,506,191,940,224,035,301,807,698,493,205,284,735,342,182,
408,939,530,370,545,381,328,178,332,769,238,217,273,838,702,037,732,880,489,
439,111,433,599,707,339,289,672,165,138,674,237,580,143,325,522,327,295,423,
996,117,809,644,112,687,941,193,005,529,013,874,133,388,480,626,950,750,445,
139,328,915,272,738,576,659,474,395,055,108,260,415,455,799,706,019,073,142,
064,605,933,804,801,197,901,786,619,618,468,987,455,561,134,491,608,916,877,
023,090,382,575,900,812,917,879,460,975,034,667,507,529,056,451,036,239,503,
908,798,817,723,320,270,959,141,746,980,811,578,745,863,942,561,934,564,565,
299,815,009,995,730,936,640,129,847,271,065,876,045,183,070,811,328,411,204,
220,086,786,825,632,456,422,390,459,753,566,687,583,098,632,293,903,331,356,
849,745,820,434,013,980,324,242,469,819,422,774,520,556,598,647,821,209,585,
801,600,996,940,035,425,121,110,406,902,808,850,617,383,295,077,054,733,030,
512,447,542,644,764,063,666,159,179,912,517,851,477,403,649,320,958,351,624,
288,105,751,527,510,154,611,402,370,259,140,194,927,233,790,247,579,902,416,
182,180,684,261,456,328,387,980,051,712,684,305,197,174,880,188,524,526,157,
364,042,588,365,840,871,029,315,405,242,168,294,755,583,100,647,680,294,495,
367,823,087,841,589,096,800,150,844,091,480,112,761,463,711,392,398,428,649,
128,040,631,412,379,766,374,935,071,295,468,140,863,810,934,594,167,963,682,
336,498,900,099,017,202,288,609,313,545,718,632,822,526,402,225,774,624,694,
251,406,229,226,206,919,802,009,231,199,040,861,262,383,314,500,413,809,869,
460,452,056,408,891,491,668,765,212,423,621,856,874,826,378,655,654,428,654,
974,355,067,210,373,160,925,049,843,254,365,199,386,835,895,676,472,271,806,
827,021,201,812,247,653,756,363,225,524,153,644,483,390,721,816,836,663,816,
106,934,141,293,241,433,608,190,277,329,382,749,881,478,816,661,018,578,188,
809,332,599,766,627,131,514,185,744,764,769,576,044,216,021,681,147,962,994,
357,659,771,043,973,421,297,593,827,840,519,746,932,222,871,219,911,511,499,
824,097,111,049,377,753,576,227,413,167,436,824,304,792,648,449,352,485,586,
918,507,819,650,315,928,714,677,023,881,049,565,631,615,808,242,643,231,959,
239,553,190,673,286,453,637,185,941,589,364,259,747,776,698,907,719,097,622,
089,361,349,472,787,278,006,133,542,955,823,623,433,863,923,338,341,979,765,
823,957,412,648,370,451,882,069,173,568,252,577,019,611,632,767,102,633,234,
981,169,950,276,651,319,336,448,697,213,420,714,259,591,222,315,670,109,035,
076,997,114,442,591,776,377,642,428,133,555,979,641,409,583,412,626,505,312,
112,922,921,740,778,477,502,786,228,076,038,285,286,665,093,194,387,521,046,
838,251,978,120,311,876,728,066,645,714,934,062,071,456,989,611,483,359,485,
838,863,668,928,319,891,502,542,776,271,615,342,229,919,679,257,773,734,995,
241,298,464,489,649,025,064,558,939,991,331,342,862,120,866,095,283,462,255,
484,969,715,139,155,029,804,628,371,371,066,523,945,685,769,453,897,796,388,
952,433,061,369,632,377,949,828,984,030,712,973,676,140,707,368,176,584,011,
079,973,952,963,129,493,211,291,736,096,592,010,323,838,236,426,970,606,265,
667,415,732,740,672,127,414,336,613,101,035,564,645,131,107,294,688,069,181,
808,524,041,880,869,218,423,938,141,455,919,480,938,322,931,312,125,617,316,
041,205,314,315,425,421,709,547,939,937,625,777,943,666,111,980,995,367,381,
859,678,837,590,136,925,655,666,894,033,473,507,418,781,080,740,631,875,501,
298,826,540,740,984,644,472,784,187,863,221,297,200,720,502,593,340,120,399,
104,673,525,513,968,623,820,430,028,055,881,516,047,118,966,149,277,868,470,
556,043,640,318,590,299,695,513,376,077,222,511,038,583,231,361,240,501,001,
423,409,447,525,677,670,691,711,392,566,149,753,736,387,023,474,471,795,522,
695,592,341,179,857,687,228,627,819,927,853,375,358,591,739,054,407,196,236,
917,406,268,170,967,835,202,122,901,618,925,991,169,300,113,602,334,826,620,
413,681,197,667,083,517,796,986,647,842,355,264,413,861,267,657,980,007,949,
104,624,794,576,136,371,721,525,174,122,595,908,929,324,695,478,819,473,396,
421,978,312,355,335,925,176,376,813,356,422,460,024,548,493,644,865,357,025,
085,703,502,873,533,160,591,386,992,669,297,216,152,487,654,968,778,935,732,
087,894,839,550,075,976,353,205,228,152,367,827,055,081,670,123,220,515,370,
485,195,644,143,181,474,776,901,049,171,795,181,965,849,929,976,674,789,951,
907,170,948,143,778,153,989,545,459,277,127,080,866,566,653,431,838,519,199,
889,922,699,165,530,278,169,701,579,602,916,865,560,047,282,815,927,893,913,
570,912,680,947,228,792,085,130,208,643,056,002,237,496,814,947,105,096,193,
600,259,473,584,332,814,298,217,849,331,606,372,159,652,713,087,321,458,385,
757,832,387,059,288,731,029,946,056,401,754,170,354,716,834,250,297,573,388,
909,231,212,972,406,161,378,905,685,554,996,259,801,195,411,762,550,085,526,
441,331,799,640,025,237,881,078,791,918,497,669,763,414,839,435,376,615,260,
236,887,537,790,430,148,839,775,524,722,018,816,072,814,433,098,964,505,216,
194,660,759,593,122,175,835,243,330,827,925,002,720,413,091,865,117,004,123,
971,244,327,274,145,075,587,277,388,535,115,163,728,739,881,592,498,527,885,
537,310,779,669,276,114,203,091,666,314,424,411,005,112,602,570,893,554,144,
121,141,404,408,755,155,306,321,061,057,255,926,839,909,007,710,657,620,852,
611,640,538,302,490,177,772,298,632,075,663,731,177,659,124,258,573,107,405,
471,897,040,362,873,303,852,471,424,793,470,179,326,087,258,962,475,656,826,
775,901,668,951,988,367,375,607,771,202,453,172,767,312,743,276,968,082,030,
801,900,434,493,780,703,090,059,524,553,403,330,793,006,107,026,362,595,132,
833,004,803,726,858,474,643,157,809,753,072,228,003,676,837,565,781,925,474,
852,468,804,638,765,069,591,159,743,254,365,365,166,275,344,024,076,111,681,
565,683,209,848,495,112,960,318,347,337,610,560,550,562,922,730,670,345,692,
575,733,886,545,346,192,084,221,411,942,306,369,540,866,713,613,196,337,609,
360,816,646,047,967,379,370,204,582,995,239,163,363,521,170,007,595,114,635,
704,578,545,543,307,032,598,669,184,907,248,974,469,937,598,855,899,817,586,
278,642,587,170,941,824,544,227,127,820,010,893,570,413,988,204,432,517,154,
991,511,823,397,142,789,070,860,020,115,848,404,704,148,347,622,294,191,072,
534,224,181,249,050,851,282,265,549,649,784,244,296,470,637,482,715,357,902,
614,984,174,142,259,404,860,509,911,439,829,304,029,049,058,860,705,208,204,
024,871,264,098,757,669,287,497,782,302,682,659,858,667,146,767,262,261,469,
862,753,255,524,256,873,507,250,620,738,808,967,058,273,970,673,592,901,545,
126,018,135,394,704,429,016,415,765,652,919,463,315,571,568,953,468,760,272,
337,170,331,783,772,683,946,590,045,471,460,527,724,713,321,616,919,474,510,
997,338,088,406,648,047,718,864,104,413,189,714,207,392,481,319,668,717,487,
629,903,871,984,823,841,776,534,406,032,883,643,728,365,823,092,396,935,404,
101,392,259,857,755,419,995,422,646,710,162,086,858,756,921,862,942,510,358,
444,458,895,689,623,873,662,890,311,517,007,110,485,280,321,803,776,565,454,
891,038,086,538,588,043,665,683,658,088,265,617,380,366,766,299,636,875,651,
782,940,116,088,842,483,341,581,888,956,559,190,958,855,449,261,113,840,700,
994,559,007,285,494,784,080,591,062,120,727,060,669,053,460,575,587,083,007,
504,097,740,216,065,169,251,187,356,025,009,584,868,467,456,551,664,411,327,
023,049,717,150,959,490,003,916,536,544,146,229,815,872,309,603,330,772,971,
666,107,081,590,818,688,994,763,579,026,170,970,040,425,065,751,092,329,290,
716,790,917,086,183,344,683,198,267,004,200,283,506,553,220,972,701,329,631,
247,337,404,879,820,797,790,770,369,375,114,044,357,712,441,030,942,411,118,
958,257,886,646,387,113,471,535,546,458,355,929,911,163,689,040,674,621,898,
884,546,998,787,278,472,731,047,635,240,469,662,886,777,048,724,337,170,456,
744,263,198,231,529,344,582,088,821,814,900,408,460,191,662,542,539,744,988,
868,905,049,226,436,438,947,927,074,293,427,542,821,868,557,038,009,737,335,
320,371,952,423,419,150,905,635,553,716,094,130,363,189,150,511,531,404,517,
156,029,437,270,802,790,323,842,197,745,922,889,165,751,402,163,479,800,407,
482,472,660,817,137,137,590,713,588,372,404,929,089,623,890,018,045,165,002,
540,473,489,451,321,228,139,368,752,117,538,913,791,140,040,217,835,188,195,
037,260,340,836,225,359,782,997,821,411,299,421,559,658,603,446,698,570,058,
231,563,253,869,421,364,802,824,231,949,676,718,053,761,978,300,769,911,935,
980,375,285,332,120,833,129,060,960,898,063,735,270,639,085,521,709,678,136,
491,706,745,445,411,090,569,653,031,116,252,610,496,584,463,959,578,572,076,
459,380,323,406,570,789,020,282,969,502,398,279,858,332,445,994,213,069,931,
416,969,332,579,303,680,845,527,249,643,067,918,339,029,558,174,970,808,817,
227,435,478,604,882,192,868,265,453,825,297,165,203,728,455,308,686,814,710,
342,994,875,603,193,166,830,744,493,541,722,668,857,196,913,241,490,039,351,
755,549,407,867,379,513,996,059,700,440,371,654,155,461,018,211,620,143,874,
297,051,769,094,915,592,280,083,067,253,002,978,828,522,560,445,419,075,006,
495,171,679,986,337,594,442,925,459,924,993,168,831,920,558,223,696,096,013,
312,585,216,355,766,481,565,351,218,251,408,676,830,889,981,805,757,953,579,
242,319,181,744,028,036,133,541,557,139,412,828,035,931,778,737,080,167,074,
700,340,824,221,533,657,104,756,227,266,864,835,425,864,968,043,310,351,182,
064,895,332,330,899,113,361,901,046,676,245,806,520,609,111,810,758,195,052,
433,630,006,839,093,644,244,703,741,624,358,816,757,755,777,402,031,621,052,
162,130,475,451,445,978,977,300,708,252,639,528,794,554,727,653,289,926,238,
781,819,347,061,551,741,024,503,688,155,395,404,905,474,726,691,251,391,236,
569,628,888,582,225,163,424,718,689,999,155,597,600,809,529,042,276,986,438,
521,487,103,128,347,944,171,089,876,594,175,897,820,312,091,839,738,179,229,
451,567,512,356,415,016,499,901,233,243,749,842,719,295,745,207,215,775,100,
141,641,427,820,506,170,650,761,332,150,008,083,827,157,531,769,335,521,379,
924,629,308,011,396,521,965,172,238,290,690,499,902,985,907,997,956,780,836,
110,523,594,905,751,545,652,378,189,423,625,546,104,405,667,625,911,796,160,
069,846,166,329,881,392,896,348,498,239,996,752,789,482,572,188,070,806,255,
492,295,441,624,502,067,545,508,800,426,801,738,177,893,973,896,905,265,913,
314,567,089,389,089,022,900,638,993,050,933,534,642,643,545,840,641,777,900,
253,684,744,460,986,300,696,348,010,131,338,594,886,263,460,157,293,867,453,
716,115,356,979,170,787,428,604,135,758,254,520,613,748,248,860,692,966,247,
543,235,456,635,667,288,547,277,388,519,285,790,781,543,220,851,292,989,420,
119,824,779,609,374,865,882,682,744,402,344,414,906,469,027,348,361,256,792,
897,731,746,499,152,235,468,127,493,279,296,184,761,424,363,908,467,906,646,
860,127,692,623,545,550,670,791,561,708,450,359,579,132,960,739,083,677,320,
493,505,310,746,136,066,048,543,340,775,033,598,895,838,326,171,172,844,929,
443,771,409,661,087,767,253,212,236,003,569,480,572,887,570,596,334,122,359,
095,576,090,505,703,529,901,801,800,443,284,568,105,560,036,780,009,623,174,
949,921,431,213,468,333,584,301,909,601,156,741,977,593,941,126,266,127,988,
204,537,001,479,716,988,315,170,743,273,782,247,888,915,698,458,719,214,882,
010,234,507,064,697,709,733,597,724,039,630,221,757,918,251,215,158,078,774,
879,009,941,580,452,409,130,810,256,875,161,111,489,688,191,656,505,064,624,
464,192,572,981,164,460,389,829,321,284,888,441,001,828,210,991,382,213,304,
754,657,113,054,349,486,485,249,200,258,532,031,746,105,444,305,336,879,009,
171,702,713,452,997,361,836,798,663,617,798,096,105,418,174,238,409,018,791,
992,177,571,614,366,041,206,737,426,854,940,638,290,834,913,027,249,402,919,
928,801,498,247,187,435,475,605,476,910,595,815,544,428,582,761,600,016,451,
495,955,446,369,985,999,461,318,037,149,800,385,834,302,419,146,405,645,938,
331,208,794,835,018,829,373,692,350,280,999,646,057,507,536,705,405,724,784,
757,497,279,828,113,002,974,338,087,464,132,351,763,700,671,249,712,082,319,
854,073,814,538,244,969,273,759,511,139,076,684,412,152,890,542,039,948,203,
374,961,446,890,979,834,261,327,651,443,475,176,290,615,248,627,268,427,234,
799,782,157,410,327,723,567,906,967,581,532,947,928,268,905,575,938,388,377,
461,526,439,851,577,083,118,336,676,737,240,822,121,524,641,884,456,825,549,
694,066,409,603,785,871,118,110,307,706,171,509,479,496,207,134,181,376,621,
027,372,323,165,174,068,929,728,475,956,419,979,396,671,843,179,699,901,597,
804,554,488,932,688,655,233,412,945,905,422,879,969,768,244,541,693,159,905,
937,375,501,803,701,528,081,563,489,313,250,568,273,964,601,217,235,347,044,
294,631,930,697,372,771,164,893,968,369,262,618,169,674,704,703,248,682,417,
838,836,672,489,842,111,721,088,485,941,564,744,983,223,852,913,400,390,073,
328,309,763,716,436,794,027,989,267,449,509,867,064,288,071,031,634,282,068,
140,151,003,720,243,722,112,842,486,269,809,162,838,275,322,291,187,221,196,
611,614,262,002,794,776,817,280,181,386,799,292,160,637,084,909,218,802,374,
375,676,309,786,107,434,687,603,381,616,885,675,408,933,699,513,458,426,917,
074,370,010,128,909,893,062,864,440,195,803,462,696,024,628,274,487,847,377,
512,875,839,561,521,733,684,884,466,305,960,500,099,236,309,710,473,101,314,
295,009,503,768,265,927,449,689,525,499,745,992,580,985,576,874,334,493,259,
477,954,711,787,865,288,572,925,910,200,660,821,063,052,707,868,255,277,080,
416,743,115,168,209,882,008,878,464,001,989,781,984,602,272,714,966,977,641,
556,750,741,392,052,617,474,842,096,746,335,500,205,820,584,511,992,105,736,
786,608,085,957,176,792,791,412,402,991,948,300,502,880,506,846,522,077,884,
891,665,013,211,135,315,791,300,302,125,580,200,133,288,628,748,904,449,879,
915,698,365,809,952,543,316,998,971,300,718,737,090,701,594,288,485,439,766,
549,358,778,898,597,940,083,618,996,177,778,475,809,358,406,296,392,116,087,
442,967,617,398,188,138,278,746,348,923,471,497,701,127,143,875,226,138,350,
464,098,421,939,436,955,741,900,342,976,359,938,396,240,777,791,860,561,546,
502,052,999,462,245,640,493,185,821,668,188,384,514,165,929,652,398,605,818,
818,370,969,835,077,862,458,064,065,529,641,107,329,528,830,822,812,959,993,
729,805,078,046,602,706,755,614,994,352,413,770,860,946,528,048,758,397,339,
655,385,483,230,959,406,103,325,839,572,813,593,400,785,577,100,996,843,734,
512,264,440,013,475,151,492,905,610,234,776,923,290,210,007,283,998,750,512,
737,097,167,542,981,286,833,646,092,476,293,343,616,456,580,799,639,433,778,
413,146,124,877,201,490,382,842,483,938,234,835,023,260,351,000,723,667,350,
246,554,349,266,156,238,729,609,816,804,014,178,276,639,523,217,936,598,737,
265,993,855,899,977,109,812,226,387,847,899,809,243,476,444,560,801,125,347,
980,398,449,412,877,166,978,332,111,377,100,987,601,391,706,432,874,526,251,
281,175,626,574,752,057,831,234,919,071,063,005,225,789,326,680,684,064,207,
559,027,531,475,891,496,483,772,820,107,423,401,178,190,544,318,746,793,312,
983,776,654,897,588,226,589,845,780,909,774,427,825,115,748,495,999,447,639,
461,261,671,394,881,845,487,268,097,174,070,669,082,418,268,834,026,796,005,
253,931,955,683,922,938,844,833,178,196,954,468,019,984,208,720,504,304,862,
215,877,606,636,667,623,825,476,418,084,701,692,120,522,197,572,581,103,496,
003,467,818,503,722,248,707,312,288,139,492,798,578,250,885,775,432,885,254,
584,692,668,037,143,711,561,379,969,987,621,239,527,837,586,765,953,178,673,
035,509,770,910,276,191,338,132,620,981,933,528,534,147,981,628,263,975,240,
689,803,592,409,071,599,736,779,946,347,847,892,008,375,033,971,101,329,274,
373,331,133,681,161,529,767,522,889,693,191,558,730,528,857,867,480,476,257,
529,908,810,467,655,368,114,166,229,352,939,817,017,784,421,270,051,213,469,
334,375,539,213,631,313,623,220,014,614,062,122,581,697,881,799,559,673,747,
656,706,325,412,498,707,946,758,664,170,692,371,536,272,571,552,024,647,234,
388,718,976,300,523,172,927,583,422,781,699,113,966,815,663,719,648,942,660,
369,762,852,167,007,959,683,136,619,960,371,989,548,014,658,099,176,263,949,
391,713,824,193,690,422,186,735,350,311,064,149,781,145,149,109,678,626,144,
182,844,333,418,876,421,220,985,268,849,340,520,693,509,060,557,172,721,838,
826,983,347,392,622,916,614,971,990,370,632,934,521,735,550,030,704,090,628,
376,884,143,923,981,943,002,181,352,183,322,758,206,973,057,401,302,432,671,
822,024,400,151,502,628,570,631,785,380,544,636,757,265,787,965,099,788,680,
622,281,318,907,694,733,478,813,880,941,447,228,192,038,574,241,361,306,476,
925,965,214,117,910,040,636,304,508,141,718,550,612,214,981,551,160,891,592,
162,366,951,665,960,981,181,259,706,809,328,050,893,513,687,772,750,586,853,
709,324,006,166,702,595,213,654,583,847,232,017,060,315,103,868,547,899,946,
588,069,513,347,025,232,730,232,085,294,453,024,194,199,928,571,958,023,677,
070,945,981,814,401,740,165,481,828,714,362,598,638,354,845,332,423,791,440,
694,153,890,354,724,944,117,527,392,130,825,271,686,961,913,439,384,728,111,
331,188,391,368,198,166,058,330,540,146,838,546,499,685,583,500,780,331,498,
617,179,780,197,678,307,097,196,216,297,734,964,593,791,157,264,129,026,932,
576,169,977,062,001,362,221,626,728,318,192,421,265,077,919,430,647,603,093,
180,484,452,241,965,057,412,585,068,126,379,291,820,191,865,339,934,718,518,
575,624,139,953,164,998,911,563,809,530,417,701,732,769,113,431,461,275,721,
845,902,363,948,221,785,825,170,788,392,920,770,021,884,197,246,335,262,316,
561,649,258,163,979,731,698,203,801,744,810,252,560,188,962,658,179,480,407,
738,866,766,237,367,594,838,342,611,595,895,231,892,615,530,882,272,201,421,
033,442,750,826,142,974,470,296,017,973,093,117,397,741,992,189,435,591,574,
172,489,694,986,539,445,830,386,821,664,833,656,099,726,841,890,079,125,976,
564,783,956,173,002,342,861,321,932,478,768,861,745,059,661,185,582,323,104,
197,988,927,727,136,130,094,456,007,135,645,511,701,753,657,954,108,578,393,
534,043,932,042,923,022,993,880,587,426,420,740,234,246,208,129,192,703,838,
876,739,588,630,069,359,060,258,238,421,696,852,972,074,190,499,033,188,569,
639,413,368,166,192,564,829,853,525,429,747,902,093,052,029,032,757,760,115,
669,529,116,904,791,950,803,963,032,145,506,276,538,693,678,488,190,292,748,
647,574,079,731,818,942,833,773,010,316,116,478,410,862,156,210,157,192,673,
941,282,090,407,174,605,242,046,655,081,744,228,222,477,910,360,485,987,313,
162,872,508,738,771,547,512,108,222,540,533,764,837,533,448,034,598,722,300,
163,995,197,233,446,968,294,424,305,805,623,040,876,509,049,089,849,947,445,
406,995,894,647,500,481,245,557,470,357,453,353,564,236,909,426,238,360,552,
611,241,306,759,176,979,279,285,040,303,970,645,082,073,433,722,142,362,409,
204,015,828,637,975,947,510,232,879,714,476,750,829,684,956,459,723,984,685,
472,604,843,157,695,286,554,093,407,112,159,444,658,009,746,656,611,886,452,
589,357,621,188,624,004,933,905,973,486,063,556,381,263,746,833,672,048,111,
088,232,587,640,010,708,914,744,384,352,777,083,908,353,053,164,916,933,921,
378,532,703,996,737,408,623,419,786,759,618,562,549,550,445,438,298,883,201,
804,076,672,632,562,394,960,461,447,564,423,373,133,055,935,730,259,867,301,
193,044,994,770,275,318,637,602,634,859,227,198,062,531,887,260,018,464,415,
900,462,879,807,586,286,067,107,468,063,241,786,136,652,766,934,064,962,875,
172,084,561,826,601,985,897,763,334,193,999,530,219,431,534,691,396,399,989,
473,355,569,770,462,962,951,099,573,424,371,663,302,764,804,369,142,383,428,
139,596,597,158,266,044,686,326,299,392,090,839,968,850,282,180,717,222,579,
096,212,305,281,635,302,334,695,095,504,431,779,790,709,208,924,460,074,367,
026,196,258,386,720,989,241,737,468,696,025,809,466,974,064,940,784,557,797,
268,472,638,304,157,966,399,045,604,605,214,043,783,418,490,805,249,618,142,
978,068,516,182,709,405,313,007,514,606,828,807,615,412,879,062,851,952,136,
043,503,865,606,131,098,328,469,548,575,754,634,243,193,279,361,780,798,148,
005,647,303,984,231,709,672,440,943,200,857,581,407,855,425,441,111,865,197,
938,791,055,775,583,174,173,730,715,749,433,816,472,227,384,847,089,287,474,
206,154,526,223,393,911,320,860,220,235,898,669,446,939,545,397,346,391,700,
335,598,089,087,558,369,787,972,112,084,063,436,830,088,437,201,773,619,474,
320,184,510,546,241,873,747,116,003,770,835,686,331,510,655,451,553,543,366,
502,352,116,289,829,263,995,473,724,455,670,951,900,772,027,310,686,710,957,
202,866,997,468,585,454,719,342,653,240,219,906,071,604,157,513,592,869,418,
171,213,665,854,616,325,339,945,799,597,591,166,622,080,700,112,540,110,713,
663,936,807,795,861,049,140,229,988,924,012,175,712,701,796,681,404,053,806,
823,859,691,641,185,523,141,755,234,705,585,510,036,436,409,399,517,443,872,
145,662,675,893,924,343,410,835,139,813,764,076,459,495,736,948,608,820,185,
493,647,447,736,226,702,305,330,545,020,722,199,584,303,936,258,038,433,351,
351,142,610,540,892,023,992,277,359,950,397,499,596,679,684,343,249,021,337,
360,116,106,683,284,391,121,064,104,740,754,848,950,312,361,881,077,018,755,
968,216,688,919,158,419,139,180,597,047,151,875,080,848,403,199,583,031,749,
686,571,002,610,444,904,047,159,368,041,996,246,985,462,796,478,686,850,751,
538,778,951,468,152,022,730,328,346,398,924,083,276,969,737,457,260,278,793,
343,057,999,989,976,098,180,840,915,539,082,914,077,862,479,523,693,304,110,
677,768,085,446,683,043,893,807,166,871,854,661,964,624,524,909,882,692,488,
588,686,925,192,831,062,076,281,455,116,003,220,634,690,776,800,193,719,377,
845,842,018,974,482,345,342,125,729,534,706,384,076,008,841,114,685,573,178,
726,967,275,174,842,888,949,121,468,541,004,205,459,638,674,711,514,435,310,
348,606,482,145,555,603,549,055,546,456,628,429,085,594,092,240,772,110,407,
072,299,175,003,617,602,955,422,232,384,013,459,009,997,755,812,030,480,815,
329,126,999,511,856,747,047,165,326,659,702,199,936,300,504,606,804,782,949,
959,793,627,150,842,511,981,331,581,705,047,360,812,056,842,466,036,370,752,
205,776,337,125,562,010,069,155,722,356,761,201,543,349,078,867,938,326,397,
802,050,246,564,495,343,470,116,143,835,954,023,560,847,691,407,806,490,333,
718,942,866,613,337,907,826,953,198,529,676,467,127,390,955,461,931,293,583,
875,266,676,201,239,727,626,085,979,477,454,332,894,749,756,509,515,209,151,
600,152,992,728,346,263,325,548,178,673,201,483,655,191,829,363,585,817,247,
139,384,028,982,405,443,219,502,976,739,973,522,991,174,540,517,930,416,150,
955,973,020,111,211,212,668,169,528,576,964,401,454,405,694,466,692,963,305,
862,843,614,056,721,572,266,710,882,059,287,201,557,321,581,870,044,156,469,
909,841,363,001,208,685,503,485,038,786,114,666,569,935,370,998,299,063,852,
765,169,423,270,436,916,390,004,173,533,791,281,065,997,224,662,335,478,507,
941,624,773,926,897,063,814,385,423,126,706,817,611,913,560,485,390,251,653,
596,663,487,020,232,554,548,778,243,354,083,564,807,034,088,604,771,529,766,
246,790,339,497,094,202,099,793,068,875,164,488,452,864,094,224,075,738,032,
224,166,509,843,062,704,474,934,665,135,677,529,213,375,320,887,051,186,153,
070,118,213,781,676,880,995,423,601,809,724,314,210,956,689,824,263,472,309,
063,240,366,189,052,624,273,241,394,426,422,012,890,360,685,458,863,110,462,
686,016,035,502,199,140,723,503,323,333,753,393,630,251,880,835,677,233,911,
498,299,681,388,996,953,379,938,219,461,755,794,005,731,004,410,785,664,012,
115,682,574,184,831,306,190,437,620,521,059,635,228,311,515,021,632,084,047,
536,637,925,524,988,213,621,044,054,475,106,704,080,993,830,376,448,024,858,
006,948,172,687,488,938,919,684,366,523,009,490,433,274,626,607,254,883,515,
748,755,865,469,124,991,393,135,617,095,561,724,681,952,045,870,966,947,766,
597,102,961,176,033,897,404,509,405,275,893,540,426,551,321,757,185,441,593,
094,238,870,572,409,567,795,894,444,365,039,147,455,542,400,721,118,348,040,
503,055,015,467,286,009,951,852,520,886,496,275,008,722,229,776,827,600,204,
711,057,712,683,634,916,144,350,773,064,519,326,544,074,181,958,663,643,778,
499,003,015,879,970,575,591,411,794,589,381,668,831,325,701,475,115,596,389,
682,671,078,416,557,601,738,018,183,227,351,169,782,076,858,488,465,472,100,
629,263,549,079,607,535,115,274,013,541,147,540,983,788,488,791,807,422,024,
980,174,288,071,781,889,011,933,412,499,696,895,104,607,678,714,610,048,339,
790,813,380,293,151,062,786,732,541,799,998,345,806,498,349,597,604,492,106,
361,157,051,388,654,591,639,525,778,789,738,161,571,563,535,562,993,364,486,
693,429,708,209,509,110,498,966,646,187,818,256,174,469,221,506,626,534,533,
712,983,323,884,125,372,460,987,949,032,150,428,753,697,295,069,645,213,871,
388,232,893,560,015,392,215,811,676,347,161,805,840,364,492,387,101,750,620,
985,770,041,088,135,825,922,089,830,255,667,198,287,284,313,289,181,994,704,
002,603,684,960,595,370,965,249,739,493,211,661,310,484,173,380,466,534,945,
093,874,469,749,520,474,643,646,717,088,360,147,969,823,986,406,350,081,869,
667,324,510,891,031,079,478,470,968,325,859,605,010,599,775,048,129,292,274,
269,172,167,128,564,131,056,680,048,049,825,993,451,045,329,188,378,708,974,
186,621,233,341,966,795,771,553,924,076,951,327,023,297,832,095,619,893,870,
024,764,556,008,510,194,778,142,445,680,430,640,494,672,899,172,826,151,997,
587,556,606,176,503,825,815,321,083,472,075,655,107,903,782,265,979,502,079,
558,804,615,340,591,190,873,232,797,714,892,181,804,754,254,925,816,630,969,
742,182,421,067,559,861,932,155,678,908,510,961,964,703,842,511,257,659,557,
342,522,450,155,897,435,239,354,454,564,406,387,903,746,203,877,119,359,283,
673,576,766,238,630,278,911,614,778,328,433,933,449,235,856,417,190,465,334,
238,114,466,726,888,309,527,052,780,601,955,122,737,787,002,451,563,553,224,
683,110,393,353,402,057,477,293,726,190,496,818,314,189,219,850,865,906,855,
619,600,278,116,624,201,167,992,747,515,804,940,483,946,150,511,403,502,775,
047,324,485,581,071,090,649,166,555,376,609,566,711,513,951,760,691,732,262,
263,930,727,534,585,322,186,657,398,459,679,456,827,384,190,427,260,034,269,
274,756,822,599,946,982,508,546,799,879,459,405,993,170,558,599,766,842,078,
163,599,010,649,994,881,093,203,326,240,532,884,656,630,933,385,431,314,010,
443,424,092,411,754,538,006,399,225,127,356,613,182,915,793,673,675,580,572,
312,465,767,008,497,313,132,745,599,520,695,900,328,235,161,333,035,395,689,
601,585,917,052,735,901,917,183,271,236,451,078,156,167,618,467,588,033,270,
085,264,818,770,951,045,719,147,186,482,944,870,834,293,783,784,050,131,706,
470,807,327,244,573,397,194,567,236,396,499,623,112,359,369,413,954,818,887,
361,523,054,126,087,260,963,309,805,969,194,543,657,475,913,069,657,668,639,
601,670,735,330,003,688,055,917,314,451,354,170,759,264,242,008,209,696,373,
955,356,479,733,969,762,971,041,001,406,566,486,225,920,660,718,821,090,135,
065,325,769,937,765,673,502,241,818,996,418,977,266,148,508,570,102,645,897,
534,418,514,882,525,205,259,006,579,083,833,772,075,162,697,927,880,181,523,
364,873,609,576,211,231,460,963,830,583,592,939,454,588,238,218,864,127,820,
105,888,498,091,908,343,922,521,126,915,288,906,373,416,541,785,166,045,234,
194,408,248,172,253,931,995,312,252,524,425,371,055,264,944,104,502,820,437,
872,055,635,764,807,403,337,409,218,873,319,963,372,989,831,132,153,705,183,
140,359,885,533,469,662,524,418,896,287,883,483,121,305,569,607,476,725,055,
210,638,517,635,274,037,588,292,975,099,623,733,328,872,641,701,549,180,256,
599,792,229,803,940,528,427,278,035,656,862,119,313,151,169,129,027,717,753,
015,242,292,942,560,511,064,938,621,653,314,541,694,332,071,882,317,299,686,
541,270,451,549,399,727,031,075,649,467,366,545,695,060,054,730,073,041,811,
084,840,662,922,081,516,442,180,468,410,106,155,149,064,314,493,326,667,453,
817,144,359,592,425,176,641,716,363,303,157,410,017,046,452,284,885,371,742,
389,826,008,476,421,073,552,981,159,884,432,897,353,387,649,491,943,383,553,
220,893,625,647,636,400,816,745,134,944,416,511,734,210,193,456,619,499,543,
372,274,188,867,848,979,208,168,370,282,153,849,518,596,646,157,969,246,898,
561,390,650,794,017,021,322,213,169,843,705,631,540,781,666,167,515,913,545,
496,220,449,239,425,763,288,767,825,542,730,907,633,257,739,818,159,688,462,
241,853,608,978,598,106,905,983,904,314,389,047,456,126,027,064,439,957,483,
638,031,472,295,325,428,550,261,669,117,811,916,676,564,468,245,773,601,500,
139,719,709,151,950,854,720,698,267,931,875,526,912,936,661,937,524,808,442,
563,395,601,336,774,312,610,623,454,393,498,319,158,078,322,465,098,248,967,
260,178,818,282,649,166,065,761,913,992,003,969,058,802,860,684,949,346,487,
131,958,667,050,612,242,144,380,924,385,018,374,129,579,217,286,791,801,212,
876,545,072,457,486,091,403,404,693,947,901,811,831,684,439,309,971,517,640,
202,792,862,464,784,458,889,946,596,597,220,033,373,496,711,507,907,569,446,
974,318,132,414,960,839,295,486,167,407,365,179,108,949,629,206,429,123,918,
747,969,727,430,372,360,327,850,122,704,224,293,571,852,433,359,755,960,455,
649,814,524,861,042,313,045,401,766,302,170,016,816,710,946,873,966,263,426,
482,611,752,884,831,667,354,671,158,400,334,820,760,961,571,277,894,048,395,
109,320,536,787,922,610,968,362,337,689,643,468,022,960,753,000,438,265,432,
587,898,050,990,315,990,643,237,743,898,145,941,230,448,801,058,122,880,583,
145,138,629,024,640,598,157,098,610,608,315,661,121,911,218,271,835,409,066,
895,893,704,886,568,309,320,620,061,415,709,221,752,244,415,746,073,883,170,
105,088,548,488,285,530,869,275,706,417,072,214,027,847,590,652,610,874,427,
538,900,882,076,004,679,900,053,609,142,079,789,354,816,996,643,455,534,306,
668,587,198,173,066,890,982,239,514,872,384,084,563,496,558,489,999,678,329,
064,318,130,709,627,441,541,099,814,185,926,719,631,951,859,958,554,211,372,
110,618,264,321,733,747,017,412,438,148,936,445,915,714,498,362,278,267,385,
879,608,580,312,534,941,426,370,344,351,101,573,039,696,942,217,960,932,831,
732,639,998,100,456,665,184,924,812,063,121,047,177,215,337,583,067,208,232,
557,235,604,807,956,748,415,977,716,221,664,722,266,505,278,120,283,989,955,
593,561,794,724,238,943,529,195,054,363,112,744,604,967,547,669,547,703,569,
791,868,294,908,604,965,207,594,902,141,571,719,408,625,865,472,740,872,434,
211,337,182,101,457,094,268,626,991,825,767,638,248,800,403,142,205,174,209,
723,335,324,668,421,561,309,083,667,790,236,130,937,411,395,775,672,375,739,
197,724,185,284,479,515,848,729,484,545,269,087,412,910,404,004,561,847,342,
214,293,087,732,916,038,902,695,324,834,591,189,915,392,473,729,216,140,465,
425,138,328,849,021,458,700,104,268,771,838,526,429,122,613,575,545,441,702,
718,865,324,064,332,152,387,739,457,043,868,441,711,241,885,960,718,707,137,
725,882,631,276,874,058,119,263,171,607,521,717,154,695,562,422,207,656,885,
517,573,738,806,505,258,372,731,110,481,045,567,638,576,827,092,553,899,647,
009,239,116,350,014,624,219,487,672,934,238,337,972,542,971,766,510,012,168,
308,411,584,282,166,668,802,352,207,347,356,768,608,323,399,792,237,124,302,
519,580,335,612,030,684,507,730,943,515,979,373,881,295,160,529,255,655,907,
365,308,901,173,377,061,472,429,055,072,408,430,179,830,171,834,820,517,114,
070,827,767,072,337,685,310,462,617,052,539,619,209,618,509,009,393,175,932,
200,701,139,864,669,147,024,363,585,813,831,252,730,694,061,084,687,766,042,
555,971,173,695,647,797,068,502,725,449,204,332,369,581,246,891,676,438,494,
394,643,175,337,434,938,592,736,682,145,164,801,837,650,403,662,783,844,224,
559,220,727,499,581,983,371,308,121,193,590,282,759,190,997,748,441,152,697,
184,499,132,888,967,934,902,329,008,953,831,074,927,928,889,760,023,456,926,
341,596,555,826,712,735,796,094,046,173,694,637,819,079,311,775,879,963,471,
540,364,975,323,519,646,992,097,452,371,815,124,499,543,274,343,543,004,138,
504,500,067,899,391,800,501,613,911,803,277,097,217,910,885,126,694,663,875,
891,504,061,327,518,086,718,023,351,663,232,652,772,741,993,689,793,007,986,
541,895,795,818,143,641,513,984,278,406,492,014,813,818,267,716,296,427,736,
864,225,717,658,060,315,417,589,920,148,175,608,004,456,193,393,228,164,721,
822,027,936,151,490,307,787,801,467,845,749,228,690,695,655,629,536,161,165,
118,905,014,874,273,110,993,081,242,929,377,765,396,438,158,005,792,960,115,
366,627,022,248,730,044,364,406,082,791,540,348,950,017,310,608,779,015,595,
741,639,917,814,394,261,324,317,529,015,472,355,202,564,973,238,854,133,849,
994,040,543,253,721,446,406,054,799,186,700,371,117,555,782,293,175,032,792,
460,027,761,950,613,078,657,077,752,955,943,699,129,419,578,291,235,462,104,
400,432,528,240,724,449,927,686,058,700,551,408,546,265,811,732,095,441,845,
516,202,406,855,425,302,799,447,476,121,420,821,235,594,929,652,406,017,857,
011,083,389,124,195,286,759,647,625,248,424,443,202,539,366,845,236,697,084,
456,258,862,344,337,819,559,821,880,699,276,832,476,344,762,324,379,115,568,
274,137,511,093,255,291,101,198,388,316,398,949,792,337,970,794,506,999,679,
339,826,278,200,267,915,615,202,356,759,641,704,548,581,955,392,225,191,960,
648,242,056,706,192,006,635,791,291,125,174,635,436,524,368,573,449,668,938,
002,121,095,256,634,649,284,298,188,420,748,854,039,717,294,196,090,324,952,
336,565,289,777,221,614,588,782,948,572,834,689,381,092,183,959,179,119,748,
717,151,658,003,771,893,244,645,127,369,564,854,551,137,204,728,596,792,990,
391,576,904,616,229,286,646,705,653,341,789,610,527,289,485,735,752,461,148,
925,855,944,520,411,495,279,964,462,014,091,863,377,321,119,179,850,495,226,
839,400,225,608,938,756,319,904,277,225,233,590,986,982,648,884,289,557,358,
994,418,564,159,778,374,940,594,405,329,618,070,598,970,268,023,455,342,177,
403,049,057,561,212,431,325,501,464,149,375,963,864,249,497,214,966,699,334,
599,893,218,972,054,586,890,924,089,532,660,562,735,686,713,191,190,662,528,
645,952,515,443,400,808,259,186,516,329,089,191,644,485,089,961,613,001,524,
656,889,772,049,958,511,636,519,779,312,295,801,338,507,757,200,771,711,616,
207,256,000,038,635,217,645,619,375,474,006,154,289,428,917,038,817,707,695,
770,766,528,905,186,709,808,195,507,445,309,791,744,529,701,806,707,500,345,
870,459,574,282,401,063,566,581,728,482,306,047,221,632,442,660,692,663,359,
013,394,027,915,992,633,266,457,655,084,721,823,719,967,354,460,855,752,867,
207,909,688,246,406,642,483,474,019,420,334,562,111,628,867,628,940,775,817,
683,946,608,750,024,767,394,625,296,297,272,224,085,672,205,760,418,172,799,
937,921,629,211,067,956,797,320,331,947,722,914,781,749,822,185,308,233,695,
233,188,740,911,358,208,346,609,134,829,883,856,108,962,082,744,956,681,691,
555,412,941,057,202,948,582,972,985,531,123,347,526,554,731,011,124,920,590,
727,033,735,545,018,200,160,856,021,882,767,290,188,966,640,741,226,106,595,
634,214,499,354,896,924,070,229,659,637,715,218,619,693,882,093,634,674,421,
619,955,382,828,159,188,338,305,550,867,629,383,870,481,890,584,557,066,373,
296,936,357,881,848,468,482,921,155,438,633,563,935,961,894,168,121,398,735,
888,169,525,759,614,238,677,333,800,369,761,844,895,015,934,697,869,439,326,
162,061,433,428,993,693,824,627,018,336,692,023,326,070,906,035,362,656,093,
577,994,633,287,501,299,285,242,680,131,209,492,747,609,324,887,105,415,086,
928,181,780,436,176,553,726,885,317,254,429,116,377,969,724,144,663,443,787,
391,183,104,491,426,275,926,980,769,690,556,198,311,047,247,208,941,266,906,
768,491,609,018,183,099,103,481,854,176,746,909,761,348,954,025,801,526,607,
583,292,811,738,887,656,296,239,479,416,808,949,292,878,845,148,229,518,686,
250,362,137,873,802,921,063,716,307,164,484,040,288,758,809,786,728,857,525,
537,263,962,960,929,978,953,647,290,643,291,125,732,758,017,673,821,263,253,
181,202,488,355,085,358,773,831,542,067,778,800,628,424,861,448,931,595,942,
563,572,216,041,327,951,310,162,076,498,935,426,507,301,309,958,242,575,207,
358,448,841,086,776,156,050,047,784,544,650,552,849,042,956,209,100,149,513,
642,173,137,126,518,477,124,809,452,699,873,635,392,575,873,520,562,017,912,
705,789,097,396,241,906,326,641,955,620,263,771,538,902,752,173,390,328,257,
948,755,149,475,345,030,385,942,288,978,508,618,247,039,787,684,680,980,184,
248,559,647,710,748,626,052,387,003,781,013,936,781,858,241,633,774,393,042,
748,587,967,793,079,472,864,446,628,153,262,931,741,595,087,438,337,192,661,
294,431,304,128,926,789,936,715,419,203,966,774,321,662,119,828,125,473,046,
215,384,343,941,536,340,203,358,297,232,669,363,033,069,800,478,513,484,105,
950,406,087,535,314,723,903,355,235,010,872,085,689,049,764,016,527,540,669,
751,568,821,100,641,237,604,757,018,910,805,514,344,621,782,498,456,108,043,
800,652,733,745,723,605,508,549,016,623,767,306,289,439,716,892,554,179,552,
483,607,379,694,119,469,652,371,012,902,337,410,219,553,334,095,947,184,602,
289,299,937,246,374,806,878,514,808,839,427,224,509,477,856,874,677,117,755,
924,185,543,704,836,701,317,600,405,094,966,493,598,669,662,706,117,938,461,
374,830,651,073,182,420,838,455,484,068,458,857,517,809,211,436,796,698,026,
010,401,260,963,079,264,786,931,768,342,124,896,651,579,332,718,546,926,531,
181,577,956,807,196,009,138,007,681,078,370,287,836,390,398,907,926,838,058,
106,470,206,036,049,577,320,542,885,160,846,949,018,268,054,051,690,179,085,
817,905,836,520,426,565,145,294,092,650,594,969,610,343,318,912,189,442,809,
251,912,639,710,791,698,998,429,235,601,054,652,245,530,641,843,746,464,698,
280,197,136,509,786,821,120,616,268,640,567,004,578,603,559,493,018,930,275,
669,485,720,063,728,079,944,797,444,741,182,500,591,672,907,371,700,420,614,
199,933,506,526,800,400,214,984,516,606,876,884,018,087,574,852,969,940,658,
278,527,749,019,450,985,425,404,590,935,600,543,521,019,557,508,649,958,377,
978,952,636,650,751,073,483,059,761,237,095,076,999,127,182,954,871,407,300,
036,591,058,241,215,537,437,792,804,801,540,062,745,962,554,332,930,302,360,
213,054,504,034,229,555,970,187,309,276,938,676,346,465,198,404,222,940,194,
344,561,762,430,729,850,169,578,994,978,166,541,945,266,274,670,223,811,929,
638,623,410,042,811,848,052,841,878,026,322,171,652,853,615,116,968,330,189,
996,162,782,752,476,401,318,313,381,188,425,388,470,095,521,769,213,462,226,
604,528,181,139,180,548,190,007,462,689,558,404,791,840,257,910,915,248,615,
299,968,229,987,736,061,674,257,587,240,590,264,058,859,281,736,859,542,667,
407,287,099,993,927,980,448,176,254,196,442,505,832,940,555,845,489,020,211,
131,717,726,498,900,520,375,220,085,349,853,082,555,212,727,310,828,066,110,
031,550,331,994,023,605,841,847,510,161,567,398,142,271,100,794,358,086,520,
284,008,143,994,843,097,827,665,617,017,920,254,881,354,046,249,870,601,913,
886,145,934,145,669,300,604,382,479,702,884,728,034,484,925,213,727,938,512,
945,597,166,815,136,596,011,425,202,093,640,339,848,654,860,592,560,734,192,
289,840,265,339,219,041,187,787,008,764,577,751,847,317,133,977,684,503,545,
451,537,578,856,898,221,035,047,134,966,087,243,638,738,941,001,114,967,085,
124,614,516,006,739,886,829,076,254,720,250,641,118,791,448,342,389,249,939,
203,710,670,710,257,790,895,288,239,176,889,164,117,711,827,234,201,411,207,
661,835,189,753,602,249,466,031,338,706,035,847,826,379,551,160,290,480,510,
879,106,683,088,894,334,142,650,128,966,620,910,234,052,347,065,059,021,946,
052,673,834,828,460,800,544,213,652,434,391,197,099,428,875,666,562,261,653,
234,478,001,387,811,400,443,599,608,692,188,506,955,885,771,391,411,942,694,
060,232,174,471,410,136,857,388,913,361,277,887,375,039,813,514,967,796,028,
088,333,538,071,175,650,293,313,397,813,733,292,992,224,237,485,809,687,312,
264,594,239,783,073,387,998,914,035,576,968,954,695,335,363,417,335,469,610,
029,427,526,852,732,746,205,928,860,894,718,975,496,406,640,182,601,537,702,
718,762,262,574,657,229,978,787,444,429,474,244,232,933,695,736,025,874,850,
552,213,954,231,798,121,681,708,334,093,833,265,835,390,989,008,615,098,290,
559,306,960,764,210,174,804,235,239,717,147,759,800,626,943,456,657,093,456,
393,238,875,387,650,313,286,509,643,354,254,921,306,450,488,389,046,523,006,
483,723,256,331,089,792,056,505,861,374,049,192,143,557,517,194,635,063,249,
670,977,707,418,874,932,592,972,601,508,126,193,913,397,545,767,327,691,777,
099,797,859,995,256,313,337,071,759,612,888,086,118,089,962,870,329,265,562,
519,410,553,640,243,316,649,010,310,686,027,353,757,906,270,731,982,077,756,
892,650,394,004,688,392,514,368,046,454,796,237,412,507,894,129,580,727,956,
090,510,354,037,743,489,991,390,925,513,789,643,555,800,708,845,809,920,047,
113,606,134,172,389,359,703,958,902,657,835,020,080,356,403,981,067,271,673,
421,809,616,566,119,419,323,889,183,056,386,268,006,855,232,165,607,980,875,
144,693,175,068,645,993,624,526,084,837,579,169,116,527,843,858,832,445,664,
056,660,178,915,007,930,359,379,870,241,989,754,781,808,990,861,120,654,104,
550,688,244,686,019,207,223,171,633,555,542,846,692,779,681,725,455,376,725,
815,360,678,638,091,500,860,723,171,698,709,948,411,840,478,062,841,726,187,
060,252,691,512,891,623,524,040,210,187,053,459,866,735,449,016,828,241,729,
577,306,292,338,895,248,149,118,523,883,197,786,405,465,671,314,484,844,968,
935,119,541,351,341,342,373,160,668,398,501,774,173,602,459,766,671,579,602,
139,698,159,341,020,080,022,716,927,911,437,756,348,429,317,399,429,132,321,
950,736,643,569,465,686,945,777,934,271,704,973,587,730,310,306,738,068,858,
024,170,218,765,194,718,118,356,802,993,738,076,275,417,312,307,239,970,506,
903,256,826,846,250,521,329,888,505,570,034,654,354,370,648,901,343,172,423,
550,648,928,051,496,234,163,848,686,289,169,155,299,190,371,220,891,163,206,
307,731,192,511,222,254,021,371,370,380,575,754,519,181,705,464,139,418,078,
075,353,982,843,439,409,050,050,388,111,943,792,411,094,860,057,047,728,334,
751,830,845,114,151,979,005,186,913,849,395,582,413,420,445,982,849,055,608,
947,753,454,567,003,590,248,741,597,176,453,553,084,959,523,495,744,615,282,
557,642,067,386,987,476,695,411,316,992,287,257,383,653,208,848,562,860,421,
215,953,459,058,941,797,383,004,872,899,137,406,517,246,639,717,197,088,526,
158,084,459,888,778,106,139,800,020,418,756,894,821,356,915,365,154,699,606,
804,695,858,007,540,664,635,763,795,365,922,982,350,050,550,561,115,220,189,
077,256,061,483,400,712,701,593,967,577,553,035,008,436,145,308,917,585,494,
726,783,029,652,592,306,529,446,041,544,059,971,104,990,994,730,341,652,544,
779,720,542,820,195,446,389,810,131,546,432,958,671,534,948,130,791,787,984,
383,778,337,102,715,967,973,249,258,558,748,285,731,285,056,304,034,948,551,
580,390,541,995,833,031,193,126,239,945,075,933,790,739,156,863,745,378,352,
426,650,596,708,056,775,861,030,298,145,059,725,401,416,283,720,103,641,944,
418,252,577,177,807,049,288,189,501,143,349,468,565,330,489,057,736,687,422,
978,567,887,130,438,755,326,696,540,407,789,808,033,589,272,831,704,753,369,
531,207,760,351,827,066,718,779,946,981,754,786,883,922,753,032,657,916,885,
774,297,478,762,596,869,479,959,310,879,082,167,840,292,909,655,559,878,835,
646,839,559,675,816,483,504,894,641,721,262,945,351,609,040,216,635,098,461,
541,236,464,428,809,294,156,943,211,619,998,527,043,308,355,795,888,638,372,
107,048,098,067,610,449,812,953,297,696,952,321,266,953,482,559,968,265,882,
632,263,027,595,522,341,064,163,691,114,064,609,950,737,366,926,343,068,408,
791,621,809,679,891,791,125,037,670,258,164,110,685,105,035,152,964,932,190,
361,963,588,366,971,825,986,756,858,865,185,591,114,188,940,513,663,079,944,
311,071,096,834,270,923,039,593,018,625,554,918,941,023,121,334,133,025,187,
167,841,011,380,480,906,287,083,644,451,069,694,143,811,452,200,063,505,896,
037,724,284,930,819,892,789,123,782,465,102,577,159,419,203,712,944,506,432,
344,958,201,366,829,046,319,921,016,136,637,529,743,230,279,636,162,638,461,
664,317,642,047,072,561,795,828,880,740,501,718,226,316,910,633,852,590,511,
928,797,563,182,948,601,739,028,329,030,756,928,848,561,871,727,788,687,527,
999,846,049,574,811,870,249,087,040,261,774,422,195,118,943,800,942,143,359,
568,697,906,888,316,465,942,046,823,584,103,205,312,621,509,497,057,335,424,
035,540,466,216,503,968,621,054,952,427,827,505,995,767,278,694,236,952,657,
397,977,733,059,596,459,914,550,934,861,741,783,544,958,486,972,665,223,883,
462,575,990,623,597,004,249,917,538,909,499,198,358,634,771,861,587,335,047,
586,990,818,271,642,564,892,926,215,931,001,369,264,432,457,181,859,118,602,
950,419,064,648,586,696,492,676,628,132,723,860,274,366,112,033,087,083,581,
117,367,028,939,511,151,553,740,950,978,080,913,653,024,207,282,345,945,839,
876,084,040,919,311,838,571,789,510,500,700,597,730,860,359,325,973,736,860,
678,288,234,141,885,335,854,439,153,842,884,276,671,177,206,678,499,333,710,
085,564,284,763,700,381,522,549,939,028,941,903,546,210,740,620,080,936,198,
140,873,993,638,516,437,459,019,931,572,649,945,030,284,357,358,645,166,010,
302,791,220,380,955,761,076,283,481,721,116,494,970,677,466,792,595,108,827,
155,989,460,178,169,632,976,383,193,258,043,253,020,453,587,722,137,706,571,
609,238,963,497,688,506,185,722,102,809,225,327,737,183,693,766,915,874,876,
675,923,920,341,006,333,598,235,933,445,331,679,426,635,477,897,004,005,017,
813,687,661,913,506,019,373,010,769,579,132,528,088,524,082,666,715,898,791,
990,773,155,244,178,810,318,803,531,784,517,342,051,089,422,304,990,503,173,
698,023,258,762,126,270,338,355,804,904,889,184,094,869,724,491,917,946,407,
082,489,574,488,080,784,922,449,891,702,396,819,139,314,189,568,909,498,891,
456,209,822,115,832,449,554,306,452,897,837,892,208,722,335,970,155,299,369,
796,974,286,793,012,070,208,903,716,457,148,503,332,843,804,899,374,217,136,
252,296,870,140,720,870,075,318,161,569,162,130,577,453,952,294,425,526,080,
267,405,254,153,758,367,822,964,141,452,124,908,300,560,578,820,035,585,800,
844,179,858,674,447,412,434,934,196,795,189,446,655,111,198,314,062,641,972,
516,683,730,152,839,954,637,919,264,938,615,727,308,699,716,920,725,530,137,
389,066,096,495,279,945,419,681,720,593,682,225,087,329,763,760,210,739,277,
561,551,197,847,087,793,368,989,209,692,995,441,386,474,930,478,615,244,116,
339,882,945,280,007,860,066,462,308,446,616,788,582,354,711,616,033,394,505,
090,128,994,407,994,475,275,168,997,483,372,688,313,448,200,038,518,897,301,
591,068,889,310,380,978,892,785,242,838,640,590,001,517,340,885,081,757,054,
020,733,253,614,613,451,052,777,383,638,315,482,053,966,072,831,617,517,669,
593,301,779,379,277,930,104,613,398,361,817,511,691,963,965,221,253,868,529,
858,078,152,367,455,241,628,410,620,803,094,836,540,372,017,462,090,365,675,
229,032,890,040,289,435,128,487,350,541,054,127,428,674,658,109,404,603,064,
185,767,234,557,959,235,248,234,227,984,467,736,466,976,233,252,707,709,339,
445,637,658,004,170,175,942,325,346,724,954,485,227,793,049,982,758,705,119,
106,966,471,210,636,359,992,168,385,230,728,753,938,770,481,988,632,660,118,
634,116,126,887,795,763,143,668,289,394,852,747,550,849,856,610,021,803,371,
431,408,155,099,950,838,716,620,632,082,243,130,523,579,053,330,779,244,613,
472,311,371,757,717,533,069,663,983,332,565,897,247,378,369,104,092,356,681,
293,822,676,127,282,932,280,204,811,196,848,060,241,339,611,957,547,039,260,
975,194,803,450,806,972,005,491,909,908,020,677,139,374,932,598,157,414,400,
740,198,605,948,045,135,220,515,960,338,630,873,666,503,438,698,716,117,448,
335,648,194,293,367,520,917,731,603,863,207,525,930,675,084,563,316,600,857,
917,031,162,611,482,449,917,907,834,159,009,053,878,601,324,632,426,873,081,
612,067,520,137,999,767,340,141,143,944,858,038,570,021,825,034,930,442,216,
976,910,543,317,694,107,312,020,564,286,058,840,517,651,636,174,760,311,730,
651,809,745,856,209,552,991,804,929,160,385,363,395,557,871,167,325,048,254,
196,245,711,420,176,228,566,003,073,294,059,787,891,058,304,054,869,354,072,
218,885,607,972,167,982,713,095,767,384,945,076,745,133,484,442,640,450,821,
142,116,087,654,562,151,838,892,864,346,948,548,445,969,699,753,611,833,267,
451,964,013,179,738,762,988,431,548,530,389,816,416,302,180,202,924,863,000,
615,401,713,589,255,353,664,121,047,969,643,688,168,978,255,547,070,356,925,
442,303,127,820,053,984,399,824,846,088,467,698,358,307,083,937,333,316,027,
132,401,504,259,087,382,762,430,508,429,129,231,407,417,221,348,859,235,115,
614,234,873,883,786,697,592,338,902,888,622,779,419,886,008,432,361,781,249,
683,742,812,708,861,326,097,121,842,653,411,904,154,956,972,082,882,116,114,
295,870,448,046,512,270,808,581,899,938,122,623,123,909,539,451,869,286,378,
547,829,230,683,365,573,255,381,865,583,016,263,939,077,146,588,078,746,892,
641,092,697,119,711,405,227,991,076,492,343,301,485,539,220,089,201,364,882,
882,210,057,936,823,901,389,139,710,762,325,519,129,017,516,730,005,112,765,
528,624,506,329,933,566,050,916,054,064,714,121,355,074,051,830,027,879,676,
618,156,935,864,893,385,185,594,943,290,928,163,771,152,999,092,222,541,256,
089,158,392,915,807,375,890,697,982,789,912,042,741,053,843,370,751,288,225,
425,847,904,950,770,021,929,550,085,964,926,233,691,746,039,343,182,943,103,
330,249,876,282,187,523,868,543,201,548,426,723,467,109,237,994,461,265,084,
847,836,569,358,180,856,091,026,518,819,532,127,958,086,240,703,053,054,429,
069,226,851,759,888,770,987,965,703,170,090,682,538,807,319,655,291,404,534,
902,326,004,461,006,652,037,189,501,044,167,554,067,365,929,396,861,203,220,
774,513,458,534,503,563,896,826,628,121,396,516,019,820,147,271,476,784,958,
409,244,398,232,240,887,417,351,872,953,850,951,620,687,339,748,137,910,821,
555,686,878,480,692,487,652,513,633,213,556,425,648,744,933,482,945,935,622,
665,590,771,201,069,161,002,532,633,640,027,456,799,442,733,442,156,078,977,
371,178,051,706,090,620,218,872,928,413,873,514,340,360,847,742,931,106,756,
407,638,581,530,721,795,390,929,817,520,491,151,215,279,685,544,065,863,734,
163,121,848,915,421,962,199,881,234,787,889,180,894,717,183,168,320,363,345,
420,544,931,042,397,929,238,328,727,896,459,681,189,751,253,806,562,670,896,
914,654,573,586,858,135,412,564,757,459,274,294,860,588,571,976,062,851,621,
282,318,876,161,287,071,785,431,398,644,110,915,186,615,710,669,786,241,299,
584,468,363,294,366,401,231,606,681,278,247,860,318,214,303,573,702,882,660,
724,384,851,650,981,200,721,257,883,378,872,591,870,511,023,262,913,225,504,
500,148,255,627,870,654,465,527,662,015,725,023,869,271,487,104,943,763,724,
668,426,696,725,484,001,980,184,513,607,093,859,203,563,468,536,775,464,958,
227,635,068,642,885,033,939,652,860,858,862,896,096,649,971,146,952,037,696,
638,758,152,283,198,346,580,844,789,128,027,412,038,047,706,565,975,693,137,
277,989,490,553,676,435,801,171,902,984,911,542,345,878,087,859,075,435,435,
101,849,175,416,484,689,367,732,422,728,707,236,833,902,646,491,053,891,807,
511,354,302,886,166,684,234,885,501,291,109,348,211,233,174,834,040,527,560,
874,717,512,685,557,560,371,524,995,487,925,604,495,914,049,232,891,160,317,
333,842,269,200,926,941,380,329,191,346,052,092,238,399,212,468,521,362,875,
807,293,600,965,068,076,306,739,908,990,710,378,516,331,222,596,138,893,149,
332,099,144,595,025,760,217,766,373,060,701,371,812,329,887,488,877,932,331,
003,964,827,241,086,567,988,601,704,799,531,342,931,922,638,308,713,931,220,
745,027,141,025,600,558,098,861,662,445,332,866,627,885,965,466,885,528,598,
880,689,502,074,801,758,059,180,333,192,542,869,580,824,673,307,881,751,134,
939,501,151,275,962,400,897,788,965,167,569,673,248,112,357,691,926,801,606,
977,264,560,696,080,100,112,096,144,908,455,011,087,860,582,693,866,300,847,
436,452,845,390,445,548,195,430,854,336,646,893,978,073,907,757,656,069,388,
843,498,336,407,864,304,390,275,544,057,938,849,511,717,281,435,595,062,170,
014,455,410,769,474,065,737,299,172,061,296,091,818,012,385,030,035,121,288,
545,368,359,572,196,281,070,424,630,689,777,067,614,023,290,433,251,036,320,
198,894,668,419,547,855,407,705,389,555,036,316,059,228,072,222,358,517,982,
668,993,234,913,915,419,918,802,246,571,281,048,211,774,044,194,336,830,096,
675,995,623,247,004,380,669,126,764,030,034,694,790,262,974,154,942,954,647,
989,656,122,509,113,856,280,402,093,327,430,993,114,563,557,601,091,979,237,
926,613,545,558,663,516,668,051,075,001,298,500,767,326,300,290,385,717,957,
151,375,242,385,726,370,151,484,399,895,280,139,799,547,644,438,359,994,115,
235,494,364,442,679,338,558,599,260,611,623,902,495,570,670,078,867,390,220,
163,254,185,456,858,360,744,610,681,060,316,355,562,523,989,290,971,540,844,
026,596,344,889,333,635,579,251,956,361,369,186,811,442,334,469,338,524,718,
792,797,032,786,610,422,647,991,569,078,810,719,719,767,783,266,466,402,854,
604,105,853,155,621,755,120,488,380,243,468,234,454,699,821,919,822,139,645,
946,292,492,214,193,190,887,727,696,825,128,997,356,903,006,189,394,811,351,
191,817,660,428,778,862,954,663,181,627,706,894,356,360,739,335,623,817,630,
431,746,716,876,191,280,699,973,472,891,839,171,556,229,125,197,218,917,323,
485,067,127,271,241,138,814,093,744,529,045,153,677,507,713,045,433,772,777,
541,011,913,746,043,768,512,057,338,629,127,399,896,194,114,651,120,609,149,
909,756,948,441,419,982,224,849,132,171,370,919,123,521,631,068,180,341,048,
176,124,458,565,180,087,288,470,052,731,813,626,284,421,767,643,237,652,504,
026,825,780,215,701,178,881,825,884,542,900,281,542,609,066,125,181,252,626,
730,790,556,270,968,024,669,157,864,944,395,363,305,842,484,024,959,362,872,
345,643,723,419,077,153,815,953,927,887,316,453,886,678,686,709,777,193,290,
928,947,975,470,914,571,893,880,543,534,018,301,713,964,291,812,622,314,919,
094,176,476,813,905,328,359,585,879,587,408,577,962,775,773,093,529,293,328,
208,040,439,680,299,933,092,678,536,892,244,330,012,334,711,048,072,390,787,
803,995,813,467,815,006,676,565,073,686,284,896,214,897,714,152,322,557,364,
579,356,500,266,403,143,165,405,679,781,911,072,002,971,341,937,729,030,534,
881,781,862,101,130,587,866,404,272,804,430,294,935,359,400,303,202,561,464,
214,052,607,131,320,105,147,333,186,158,358,480,017,275,791,631,417,955,747,
875,112,793,149,279,203,383,676,733,518,588,116,002,191,478,177,219,684,156,
861,120,654,009,000,497,855,465,121,186,271,183,246,628,237,204,009,776,981,
430,566,657,016,087,086,881,607,316,789,425,751,091,214,123,727,152,389,661,
580,142,204,598,827,353,714,548,444,392,584,375,021,755,353,520,836,309,400,
890,345,624,847,686,297,493,919,997,602,597,113,704,458,246,506,093,089,363,
322,568,216,413,965,522,141,124,116,435,477,290,279,700,206,666,851,300,751,
693,430,743,674,374,417,476,879,981,884,516,350,340,038,505,092,123,658,007,
021,110,426,257,676,994,942,271,693,675,882,224,506,272,654,276,743,410,602,
217,367,169,910,510,642,074,323,840,235,413,560,108,204,620,264,723,498,801,
347,737,817,630,391,129,564,619,849,675,086,090,913,339,301,895,020,927,472,
759,631,932,367,921,891,775,515,115,445,230,245,666,211,560,687,831,956,004,
811,614,497,510,351,770,663,331,481,915,990,336,813,796,894,807,777,077,879,
754,751,474,234,162,348,938,241,368,366,900,545,292,941,091,114,171,946,106,
863,971,318,011,703,772,314,467,207,476,882,706,927,648,645,011,978,028,773,
639,051,450,557,998,496,342,404,169,735,117,842,575,734,490,514,665,603,074,
893,344,771,071,840,829,867,087,177,181,390,106,784,589,060,796,435,260,515,
990,336,488,895,462,337,168,603,651,072,752,461,709,877,232,439,175,194,185,
283,148,734,527,259,558,707,021,183,239,823,056,362,694,227,809,362,489,293,
628,879,083,939,317,916,824,831,349,413,495,964,588,928,184,415,718,352,634,
744,907,280,850,378,640,608,157,059,599,551,500,256,249,840,643,142,821,057,
675,467,635,247,572,250,123,583,659,663,108,355,852,839,952,543,320,710,768,
186,549,215,991,234,936,686,190,537,456,615,237,312,693,591,549,902,809,278,
672,763,779,518,782,515,465,591,337,141,747,288,919,103,739,404,914,006,891,
168,250,270,477,481,779,429,008,827,561,557,242,221,433,533,522,709,995,779,
593,158,099,562,546,072,782,891,774,716,480,549,982,071,501,857,520,497,886,
320,644,352,057,863,975,993,516,881,730,932,894,486,331,447,561,207,450,443,
862,500,988,890,850,763,972,337,324,519,822,389,556,013,446,556,410,456,122,
024,693,010,999,505,568,835,742,391,788,490,796,910,980,718,971,533,801,978,
562,433,753,425,395,315,462,351,672,850,159,730,026,291,000,216,433,167,045,
695,376,871,309,583,169,133,231,968,014,540,828,036,808,746,796,855,876,440,
348,993,905,740,454,934,872,504,276,377,074,129,238,537,596,930,920,792,919,
815,796,689,729,142,163,651,723,502,150,670,589,264,313,100,614,490,232,037,
726,808,127,924,848,857,474,385,092,018,074,256,597,801,103,677,426,289,297,
059,113,565,629,674,743,791,205,900,900,267,896,405,903,067,999,669,572,339,
500,598,256,207,504,740,340,572,344,356,318,753,065,917,507,262,043,664,143,
653,321,609,397,032,543,087,141,524,791,860,279,773,653,367,515,784,502,898,
747,689,797,372,765,423,008,243,838,416,842,716,273,732,087,727,021,314,760,
787,232,214,114,497,792,274,184,194,266,902,244,200,978,108,749,355,958,540,
409,791,175,080,462,237,658,710,749,557,330,454,042,915,530,991,692,553,102,
740,482,199,119,216,496,362,516,655,727,880,643,259,854,139,870,247,417,754,
976,645,614,016,373,976,822,603,308,537,074,485,075,899,046,187,347,871,649,
571,277,306,718,609,222,899,655,693,400,648,301,886,991,860,022,374,751,629,
310,950,478,636,361,500,506,237,768,403,430,627,184,439,708,832,266,793,342,
546,023,605,891,297,813,210,800,565,351,326,379,849,536,191,625,187,684,203,
390,620,496,640,592,502,837,035,055,732,061,477,329,696,494,820,417,337,822,
825,631,052,092,053,926,545,134,779,509,828,667,785,076,222,039,389,278,337,
888,618,101,552,464,947,179,292,639,723,924,090,008,393,818,127,340,406,296,
077,848,976,439,471,578,160,382,218,453,539,631,220,812,305,876,661,700,183,
327,368,010,316,414,865,890,391,409,053,374,632,750,594,520,531,747,263,602,
183,405,274,485,243,535,252,578,240,315,416,296,012,066,732,040,103,310,852,
681,801,869,221,413,830,011,452,332,291,773,934,373,707,705,539,564,484,964,
487,071,082,391,614,198,494,746,565,101,312,812,651,802,273,879,646,081,342,
426,699,016,741,457,563,809,816,757,475,158,706,665,661,663,931,622,223,560,
947,642,358,490,413,961,983,320,694,502,742,391,984,445,788,079,883,225,718,
905,164,328,026,414,365,999,145,322,143,665,842,804,632,126,754,753,197,276,
124,929,699,903,471,347,505,202,658,659,465,358,879,253,668,265,147,641,404,
328,911,607,516,425,799,160,451,891,957,988,547,939,907,321,638,801,494,360,
230,313,037,026,050,694,160,801,458,683,964,991,197,205,457,708,689,644,307,
946,174,653,846,422,212,909,967,070,733,594,759,869,499,278,322,135,671,475,
471,415,974,562,125,146,384,013,221,922,613,582,923,900,028,360,249,320,983,
396,932,894,334,420,134,825,069,891,901,243,796,859,748,644,600,300,092,638,
697,197,475,769,266,128,766,520,639,790,240,383,402,551,614,196,703,798,415,
993,470,986,201,919,946,792,360,219,451,662,812,190,549,763,763,645,827,922,
364,152,580,279,587,839,311,143,852,598,256,220,801,550,199,216,253,860,509,
581,121,982,377,333,218,772,713,394,172,293,595,432,313,590,217,186,001,373,
508,173,508,206,262,338,881,277,316,184,344,137,069,191,803,206,393,858,016,
413,133,886,024,926,004,315,648,562,907,148,617,327,997,604,949,424,220,067,
194,436,958,072,763,568,105,209,013,220,231,736,198,816,053,295,629,919,990,
938,198,758,122,032,297,431,810,967,806,901,913,713,208,772,530,890,153,547,
881,998,413,219,880,921,232,364,301,395,705,766,040,285,772,097,341,978,835,
830,168,140,430,562,181,600,469,838,314,864,549,787,483,948,468,758,972,317,
052,706,217,930,293,682,769,396,888,960,505,719,029,921,602,024,353,656,831,
311,456,262,991,032,865,594,965,063,158,980,955,412,145,075,752,138,756,819,
353,188,448,824,002,543,476,953,797,302,442,638,572,291,914,485,552,370,698,
545,381,634,526,923,246,445,793,851,582,384,558,794,781,753,769,624,350,296,
199,493,710,897,418,593,044,420,699,344,320,378,505,469,687,037,807,459,205,
278,106,987,136,470,176,274,535,827,549,817,034,285,794,506,077,517,869,004,
050,103,137,598,813,100,812,436,013,711,490,433,413,739,811,354,154,198,026,
572,715,792,727,716,377,723,982,911,025,573,349,421,432,071,352,249,395,925,
807,698,455,521,496,062,646,123,548,808,791,683,379,651,573,152,445,287,010,
719,906,507,447,258,792,231,389,459,210,039,512,252,641,169,364,068,341,605,
495,332,538,365,428,836,674,872,874,113,127,112,786,532,480,024,547,632,212,
329,710,004,967,808,271,046,116,591,320,907,487,787,370,970,585,964,188,597,
929,964,528,630,007,100,393,771,324,076,361,457,161,131,714,236,964,032,636,
442,035,062,817,237,634,876,480,559,000,469,933,277,983,677,271,974,734,307,
385,895,638,344,189,749,211,164,662,448,370,594,522,099,503,501,075,954,147,
928,918,466,363,024,289,601,757,435,400,457,907,701,909,478,047,588,831,512,
849,512,081,080,176,283,460,320,097,977,211,170,095,810,237,948,880,796,914,
357,836,230,007,685,196,361,906,160,548,243,388,390,783,562,607,691,410,827,
780,701,801,187,796,145,055,333,150,927,842,288,075,480,072,685,223,725,473,
094,960,255,494,830,338,366,257,432,513,436,667,172,218,994,418,560,872,558,
454,530,786,779,123,778,255,632,333,630,730,107,035,298,716,829,357,343,872,
870,853,683,367,670,740,539,377,092,700,416,838,120,907,025,099,218,586,549,
919,553,610,721,946,251,299,748,746,151,150,734,028,444,578,432,378,857,253,
347,643,175,256,030,522,364,198,590,023,486,358,812,139,286,354,713,351,457,
007,083,854,619,101,768,130,122,647,222,863,888,529,711,388,886,196,515,774,
710,070,720,299,367,062,979,685,422,996,609,963,835,502,722,346,376,354,879,
749,302,507,812,995,514,220,944,308,736,865,356,188,160,955,448,942,585,596,
899,852,127,441,177,319,864,521,449,383,409,694,395,105,759,539,135,575,839,
964,958,188,911,763,107,025,337,849,017,880,505,063,849,482,598,319,041,441,
459,426,274,846,457,756,496,833,413,640,904,714,290,178,005,869,121,333,729,
969,763,247,060,791,803,804,572,101,583,216,253,904,575,639,749,854,559,055,
325,348,136,906,201,166,261,095,601,364,829,130,968,580,354,086,088,190,657,
964,304,005,714,528,756,257,841,757,732,027,025,386,265,393,091,330,238,257,
936,236,971,621,955,217,378,002,910,965,298,711,591,927,497,623,032,748,978,
418,151,992,209,031,223,172,926,064,299,464,838,822,697,348,740,904,794,586,
673,943,623,220,421,077,376,399,481,339,494,228,883,728,072,772,731,429,764,
067,197,924,815,425,585,584,394,924,788,062,941,456,064,223,159,920,662,434,
238,424,125,183,926,397,814,854,516,655,996,394,585,817,802,083,325,175,689,
186,071,491,147,546,091,492,131,496,940,269,959,433,202,413,839,897,684,384,
171,995,392,553,594,687,055,938,640,925,032,679,292,132,697,798,752,298,323,
892,447,788,801,502,543,617,615,372,875,619,511,364,121,533,336,038,991,899,
122,667,431,059,203,242,650,054,562,759,690,171,424,556,329,544,464,702,036,
784,108,176,673,745,719,217,292,050,734,266,802,759,870,814,399,945,979,410,
680,104,374,041,764,318,683,747,514,683,932,555,879,914,764,901,818,200,086,
415,930,783,768,623,886,210,774,061,668,279,766,346,319,882,714,921,782,348,
414,581,910,215,144,259,118,701,979,073,744,652,629,507,659,853,972,208,546,
966,858,444,833,222,791,692,412,256,418,305,672,686,602,843,576,977,591,481,
518,079,246,424,694,261,259,694,831,763,423,353,070,698,437,697,516,074,955,
160,520,937,540,782,689,142,632,538,842,939,912,462,498,485,624,363,738,813,
850,032,917,084,760,485,611,200,427,549,491,804,658,899,837,906,647,614,623,
209,941,655,308,705,034,011,694,711,986,914,903,995,521,333,632,985,665,088,
285,461,944,147,626,050,407,500,501,542,833,358,984,044,530,911,067,119,925,
955,468,788,874,661,514,834,118,059,817,342,450,984,386,412,340,732,701,444,
606,159,423,654,291,642,623,256,670,368,524,301,134,710,490,378,988,751,018,
431,219,144,799,824,506,477,313,096,159,265,712,011,854,827,013,068,228,506,
045,284,016,998,472,841,041,175,372,824,691,201,318,079,273,388,719,001,110,
805,727,512,714,999,032,679,085,324,942,070,543,537,470,874,777,129,658,683,
091,611,205,113,232,690,156,398,765,603,306,849,522,917,993,188,355,957,017,
474,410,793,684,017,860,118,833,062,657,521,662,625,774,513,156,673,722,432,
879,753,951,895,317,692,440,060,986,725,629,592,577,083,873,786,818,940,374,
525,971,474,433,049,358,766,900,122,018,364,084,783,873,844,995,354,859,015,
276,008,279,559,156,926,980,977,349,498,635,783,368,788,815,293,712,723,650,
224,846,165,774,986,783,491,625,776,421,238,408,019,312,824,288,924,106,709,
666,253,804,441,297,352,003,615,855,444,358,924,224,145,569,617,343,048,949,
545,156,425,102,683,498,754,354,847,992,566,675,729,033,750,034,470,778,407,
553,496,867,721,263,552,833,172,403,333,148,636,609,054,687,336,619,141,517,
457,731,723,988,490,729,189,864,346,064,012,489,435,134,758,350,671,361,585,
524,527,317,845,618,308,442,303,396,235,864,611,846,575,478,993,028,646,359,
237,606,472,573,236,177,176,229,579,876,029,758,670,170,729,612,467,733,988,
851,011,331,898,618,780,439,241,005,010,725,731,698,683,637,334,098,627,076,
178,225,095,260,492,030,421,259,338,626,357,485,491,785,528,160,095,178,485,
417,440,443,382,387,192,897,863,376,993,269,957,796,401,527,698,778,434,142,
258,620,193,704,232,334,227,755,212,800,303,049,045,542,881,784,552,268,876,
614,446,237,926,207,667,026,166,457,183,927,619,492,470,724,286,821,027,341,
946,460,189,868,950,714,053,306,368,970,585,940,200,485,113,443,797,836,116,
384,574,211,255,504,921,980,132,974,069,579,682,226,022,419,390,414,365,517,
618,702,922,767,643,681,016,355,565,548,183,049,429,933,038,382,688,852,592,
769,087,720,007,703,058,755,837,606,007,999,727,407,621,970,719,165,572,251,
297,221,426,755,972,410,938,220,864,896,719,504,781,854,388,943,238,315,389,
600,267,958,278,826,308,857,695,101,662,490,730,643,584,834,010,759,468,066,
255,714,271,318,647,582,907,159,345,377,642,345,592,022,928,469,099,711,412,
242,284,874,156,025,249,278,213,118,611,802,194,032,728,710,709,481,549,872,
397,011,410,658,752,155,620,108,234,319,644,855,124,814,928,805,201,366,886,
529,880,772,223,924,309,015,974,719,882,093,503,961,445,173,707,377,483,471,
744,279,561,665,491,351,077,314,481,720,452,741,382,757,028,965,008,022,237,
224,381,371,838,024,357,003,133,472,413,137,122,044,027,252,986,008,775,591,
884,390,983,264,262,900,207,406,996,896,300,072,641,045,340,105,404,355,207,
152,432,240,136,468,476,198,471,172,062,745,471,482,067,413,541,712,372,180,
960,856,917,150,381,305,159,266,672,799,744,256,313,388,422,188,026,169,171,
471,966,015,382,011,234,942,879,883,453,285,367,925,414,997,152,833,995,432,
501,012,127,695,577,847,483,653,371,906,753,147,174,002,950,765,100,571,710,
178,680,658,327,118,632,383,004,708,744,698,829,201,208,481,687,048,633,233,
862,898,370,721,738,352,244,770,644,832,125,274,750,048,501,652,118,569,458,
118,496,894,796,432,834,181,478,106,723,335,905,874,018,054,343,725,655,576,
578,475,623,942,338,891,237,841,609,458,657,502,815,066,701,804,084,275,897,
578,806,787,650,547,299,983,235,478,101,672,858,787,410,391,424,303,846,639,
305,825,847,366,492,983,593,790,179,386,990,984,108,544,658,408,798,087,332,
256,591,786,283,813,076,973,033,972,177,595,486,068,588,258,516,061,261,960,
523,063,160,466,969,904,151,581,707,208,160,074,723,681,163,827,727,861,102,
330,557,485,188,807,611,279,946,054,402,479,041,598,766,203,454,014,385,929,
005,625,250,611,038,512,158,312,980,972,430,853,927,504,677,756,200,952,188,
770,897,866,056,000,223,292,103,696,259,814,835,178,811,137,986,327,500,380,
509,731,844,965,719,793,786,470,196,796,837,319,911,037,199,859,331,079,314,
727,685,361,550,973,538,484,756,671,143,401,446,325,238,481,091,531,167,662,
909,011,454,759,542,669,628,250,292,074,359,335,264,358,253,930,568,220,701,
467,537,313,739,892,775,639,548,976,219,095,422,563,335,567,184,486,979,722,
467,601,054,992,284,957,822,732,799,445,154,271,898,696,467,730,922,531,960,
179,560,314,331,624,388,268,259,457,687,047,998,686,244,114,808,044,921,653,
459,999,210,600,916,906,485,672,182,994,499,086,025,553,870,717,216,656,124,
878,950,165,547,655,274,287,167,984,440,968,970,022,659,908,593,011,996,023,
079,428,496,777,618,148,327,467,568,482,893,039,807,175,228,833,833,202,645,
829,193,912,438,753,594,417,846,130,422,648,168,583,934,949,642,052,194,276,
442,486,854,339,993,817,511,072,977,616,013,762,487,005,777,833,335,460,174,
192,467,251,692,328,395,975,160,101,610,168,775,334,706,160,532,850,391,039,
531,654,573,750,160,203,919,277,864,143,460,924,573,723,760,151,287,164,886,
601,050,122,235,502,841,186,815,868,676,226,101,170,654,035,334,343,888,453,
738,314,688,017,166,933,191,055,853,318,207,315,660,131,396,867,844,557,464,
967,668,171,698,269,212,684,932,859,916,835,678,284,750,633,467,771,183,589,
430,229,912,383,441,914,142,006,863,841,729,209,019,770,127,746,975,799,554,
348,281,734,734,887,526,107,525,370,815,136,443,609,454,540,615,736,536,626,
012,130,113,391,117,059,742,175,895,905,349,026,038,412,999,602,997,456,123,
443,584,510,508,432,863,215,734,373,827,373,611,598,189,893,196,975,120,065,
219,478,601,859,596,867,260,649,924,350,711,855,053,889,595,775,367,541,221,
191,388,926,529,097,633,428,440,406,570,372,559,410,083,941,548,278,158,402,
348,552,874,400,788,014,535,883,668,401,928,666,982,265,708,941,892,733,623,
931,203,934,252,626,238,928,012,913,448,731,263,091,575,155,942,193,585,979,
061,971,178,262,840,251,028,570,096,198,178,185,739,560,175,510,371,402,079,
302,654,322,718,399,648,393,147,401,284,749,920,975,097,654,265,283,132,925,
475,467,368,815,362,547,321,064,603,496,202,937,502,486,557,462,085,505,212,
136,907,227,690,256,563,024,741,282,651,691,240,149,329,637,646,242,269,049,
852,184,920,111,400,527,598,069,733,946,225,185,514,531,601,692,401,087,778,
260,282,183,532,418,674,365,961,547,107,055,294,079,836,971,606,924,410,798,
245,324,638,891,384,475,169,108,445,379,324,672,739,583,914,360,327,854,269,
207,864,032,619,196,458,017,583,859,832,110,911,197,477,197,745,864,308,890,
028,157,722,375,070,752,126,892,037,211,688,478,492,973,923,979,137,369,782,
446,194,255,495,828,107,492,297,191,880,298,972,189,610,989,703,202,032,716,
443,546,029,113,325,314,697,697,590,425,956,321,048,117,574,331,191,004,097,
257,875,787,380,792,261,477,073,477,679,693,105,811,695,696,795,340,072,153,
699,893,778,504,516,341,345,186,466,064,526,005,004,119,208,385,075,798,002,
389,767,381,688,517,757,603,791,593,265,349,584,840,132,916,194,324,557,805,
998,000,516,064,263,149,605,311,578,544,863,357,760,666,193,419,109,806,856,
942,852,781,196,774,345,272,073,096,023,689,959,205,979,933,657,290,659,898,
212,948,708,078,160,631,426,271,901,533,377,478,903,892,218,128,051,911,482,
642,223,640,670,729,072,281,544,045,709,922,294,344,121,493,375,088,068,915,
990,705,565,028,457,888,437,534,759,112,100,992,765,701,171,522,662,518,419,
960,520,776,750,577,692,644,346,874,580,541,563,617,478,497,028,200,099,882,
065,978,104,061,556,036,159,660,290,278,138,794,579,524,990,486,688,552,204,
156,700,235,511,291,233,658,241,392,530,654,517,198,598,935,691,298,926,752,
021,291,308,819,000,520,034,757,929,423,146,062,716,594,787,705,587,631,738,
417,445,477,765,797,608,257,737,312,797,225,082,390,343,595,092,183,590,630,
207,637,344,005,713,596,122,417,130,073,527,233,678,610,081,759,671,961,629,
700,409,919,750,740,517,639,516,993,088,706,991,909,399,933,706,886,577,432,
763,705,491,588,050,809,808,514,011,659,453,444,574,136,471,642,250,114,396,
882,427,365,142,042,876,024,200,305,544,424,363,726,862,781,538,126,638,122,
379,462,050,459,294,319,864,895,011,667,720,224,197,146,409,810,717,680,528,
096,585,116,544,123,580,507,806,368,100,733,783,720,266,945,531,140,393,334,
961,818,879,011,872,450,469,077,001,303,585,689,454,738,402,593,305,276,505,
946,881,788,199,737,659,360,136,028,158,366,531,219,760,961,207,833,049,724,
940,484,691,544,058,245,317,355,475,212,934,269,093,245,970,193,720,771,938,
508,346,430,312,537,260,784,896,889,770,629,904,279,141,625,856,080,350,799,
815,125,832,819,135,927,141,922,697,183,101,480,002,157,465,725,435,322,082,
773,711,829,377,074,422,458,467,736,400,836,014,259,216,668,075,351,085,857,
022,304,013,497,242,630,842,134,381,627,641,965,648,095,684,327,665,448,028,
958,417,281,768,176,130,989,792,981,724,045,733,681,245,027,124,253,663,382,
749,737,529,080,173,410,466,684,792,815,970,955,812,451,204,003,194,682,488,
128,894,623,916,061,825,666,724,714,273,795,352,116,288,343,042,619,613,143,
164,752,954,282,292,446,717,455,485,497,805,111,424,872,108,913,669,521,189,
422,783,451,857,633,523,418,565,964,535,151,723,618,999,039,764,193,525,261,
144,430,024,385,285,357,254,992,853,276,811,980,541,937,759,897,087,412,174,
342,167,900,243,824,455,104,375,766,355,690,884,895,159,619,312,939,729,227,
472,951,102,230,282,465,989,748,245,102,716,008,166,669,599,269,126,240,385,
602,602,979,066,732,540,380,462,344,674,732,441,402,333,935,912,043,423,458,
564,612,319,360,416,333,233,050,392,904,540,545,762,282,831,120,771,536,896,
805,491,489,885,411,882,640,466,476,678,674,556,679,741,294,991,889,061,691,
810,932,294,829,543,055,162,057,215,308,143,146,302,712,198,990,591,134,051,
142,385,932,555,265,921,043,104,779,746,669,928,701,696,388,903,548,052,723,
573,001,297,835,118,589,599,347,597,821,021,362,556,755,652,989,289,790,164,
733,499,388,932,170,813,206,045,922,938,203,416,228,858,569,911,036,735,833,
652,140,066,370,181,859,419,165,675,767,910,126,290,610,341,106,711,745,801,
770,074,482,407,286,096,642,378,895,517,018,584,905,298,033,048,861,154,829,
006,553,450,151,232,857,789,670,651,055,191,652,896,180,798,436,712,339,473,
176,615,806,957,640,270,675,524,236,161,553,750,221,188,611,456,179,691,365,
286,263,613,205,044,370,838,889,443,125,013,522,148,066,711,917,858,862,868,
378,863,509,631,722,172,590,435,774,228,456,500,616,647,429,566,412,513,212,
714,696,409,633,812,593,836,707,075,115,054,005,465,561,732,351,274,476,346,
473,840,550,187,268,841,371,010,809,772,829,444,670,520,149,534,844,026,687,
031,958,352,197,116,707,256,379,287,334,528,136,778,943,402,318,059,493,944,
651,754,108,503,508,326,391,328,369,412,087,887,912,294,628,040,420,537,030,
484,290,814,913,381,041,162,860,442,541,328,717,097,252,599,736,651,371,737,
215,156,892,754,106,116,090,612,469,316,786,639,709,817,022,896,150,800,487,
583,480,480,158,084,918,448,689,070,633,843,999,560,950,552,238,873,345,348,
509,798,598,467,296,745,487,724,887,098,736,205,800,348,201,311,634,226,694,
465,819,873,685,513,790,178,114,747,364,762,825,491,355,390,258,656,281,466,
165,039,669,352,161,459,228,433,537,037,118,502,853,595,231,363,613,227,507,
025,956,541,283,117,362,663,968,011,905,270,929,064,218,976,108,625,711,283,
673,876,430,378,982,351,077,354,230,237,625,762,227,590,187,513,631,016,154,
178,179,323,252,277,222,601,808,672,007,517,317,745,355,281,316,152,197,118,
957,924,076,783,807,521,619,522,210,259,847,227,229,053,336,516,560,982,098,
678,039,253,220,259,672,038,272,677,891,940,293,991,934,042,403,556,172,213,
979,224,852,301,996,943,642,585,409,365,842,458,412,332,576,280,472,278,896,
150,420,733,054,518,374,581,088,274,614,918,175,427,983,461,096,547,234,936,
949,004,096,232,194,696,030,935,348,942,282,351,084,743,873,614,863,816,044,
321,294,410,418,934,467,433,440,705,049,388,165,737,456,298,847,745,494,613,
976,279,937,842,878,824,654,419,117,861,402,522,374,439,194,127,816,214,681,
609,394,634,216,914,693,092,779,494,150,750,503,715,881,899,408,806,711,359,
123,745,627,688,622,760,273,981,370,208,942,683,464,330,909,965,486,337,287,
740,502,088,997,493,213,832,283,877,807,818,154,974,521,728,873,283,661,631,
021,729,622,444,457,898,371,633,494,257,001,719,266,079,243,874,400,948,553,
304,221,502,142,401,789,129,775,139,524,902,611,088,250,735,888,416,247,574,
787,493,778,969,884,509,785,386,016,045,237,161,609,669,113,457,252,684,517,
345,205,581,214,244,049,869,424,055,800,068,975,442,373,897,969,209,709,734,
077,747,998,593,365,863,624,845,765,817,474,098,470,613,949,235,168,236,974,
354,703,746,556,007,617,669,773,743,160,770,973,633,827,348,307,649,868,783,
258,643,255,638,240,237,351,367,800,213,937,015,245,333,452,803,279,785,212,
458,297,092,130,308,099,409,402,641,205,582,262,366,565,690,819,970,643,687,
502,028,563,882,386,015,541,362,385,429,738,353,409,935,896,899,937,373,607,
029,811,114,274,065,350,424,956,728,883,336,836,192,346,474,992,494,804,387,
738,500,401,005,806,852,196,285,941,785,387,782,546,200,490,299,014,186,253,
200,965,229,379,375,346,550,903,742,769,317,201,271,370,974,922,656,010,624,
022,771,844,607,394,584,821,646,057,783,152,689,310,604,550,603,020,281,731,
261,964,535,395,729,954,633,601,321,062,041,473,729,679,865,026,203,782,194,
004,654,195,235,451,520,515,090,635,263,572,176,034,218,190,144,620,039,748,
526,427,537,700,798,834,856,160,793,354,815,138,977,272,866,616,989,925,699,
526,400,767,034,715,703,200,229,508,831,623,220,809,113,700,899,991,616,100,
458,050,382,939,023,870,111,300,361,398,637,092,949,828,921,604,161,383,298,
224,480,941,580,966,220,778,226,847,292,353,308,843,521,843,753,352,347,031,
512,803,755,139,127,705,131,490,928,569,873,357,941,715,226,419,461,739,626,
959,936,318,181,128,525,747,935,719,607,802,330,583,010,595,736,180,398,043,
981,724,577,952,526,868,115,284,345,585,312,251,755,090,986,192,418,981,861,
908,574,969,305,028,229,338,594,281,279,862,219,940,072,106,631,479,866,250,
365,368,893,311,734,941,176,782,648,442,117,437,891,560,969,723,670,567,099,
604,114,235,195,308,703,224,619,551,874,614,652,809,558,614,499,728,771,824,
125,883,636,814,180,801,863,737,646,229,372,830,842,324,605,139,064,364,532,
445,830,465,839,640,375,495,578,411,568,914,734,672,132,973,909,947,971,873,
933,933,015,611,231,786,736,377,145,524,540,329,930,979,416,319,006,564,137,
440,688,669,766,658,936,497,194,300,157,735,012,143,136,604,090,756,435,921,
336,849,151,226,507,322,966,938,822,896,446,539,356,694,542,730,000,999,363,
429,494,338,244,613,157,154,842,219,865,667,439,889,248,745,078,528,131,223,
047,406,256,694,598,208,361,431,251,734,544,021,576,379,630,693,798,806,527,
191,061,501,413,300,187,626,504,752,855,032,091,848,392,491,747,294,561,666,
063,592,259,697,750,581,564,047,934,701,398,508,067,001,674,706,215,744,638,
146,137,743,803,683,559,722,704,440,730,729,501,427,877,506,006,073,617,188,
657,800,222,564,384,155,118,285,474,283,967,054,932,262,868,321,101,079,979,
785,182,593,889,210,471,432,565,791,511,092,185,042,461,607,882,046,292,293,
214,106,572,943,444,152,757,469,815,927,173,337,229,477,283,121,782,699,582,
087,240,626,726,452,564,542,803,809,790,106,071,658,094,180,714,510,992,201,
389,865,287,649,539,226,464,641,056,706,572,225,727,170,078,231,671,758,828,
746,727,610,790,072,916,124,565,619,984,928,197,568,516,880,623,792,737,122,
482,781,680,996,133,829,392,550,885,954,991,311,229,935,267,004,444,179,094,
744,517,807,489,725,032,659,978,820,263,787,116,805,390,799,030,671,362,429,
800,673,331,758,217,424,970,702,794,758,669,371,976,470,540,266,649,573,008,
624,373,406,374,999,944,055,941,131,010,431,911,216,189,586,679,604,061,728,
088,476,547,835,910,139,209,191,337,849,560,494,051,901,896,352,156,360,753,
103,666,694,192,102,247,018,501,164,702,266,864,312,666,068,181,614,471,936,
215,591,995,678,042,815,361,477,273,731,183,062,528,478,217,938,270,938,838,
024,968,912,826,843,309,820,022,105,136,093,077,445,595,701,394,132,907,495,
659,421,897,866,421,245,453,625,125,517,380,038,342,070,775,584,980,694,926,
033,006,926,082,316,266,429,656,078,938,186,677,985,107,356,511,076,165,963,
268,516,329,216,573,124,268,419,292,430,309,979,768,006,327,322,244,438,845,
389,440,932,969,582,839,126,981,635,865,351,552,361,499,142,275,091,629,244,
624,274,624,114,015,813,721,857,387,370,679,903,579,828,977,714,579,559,391,
066,520,206,502,789,999,132,210,237,534,076,838,898,695,252,799,681,934,873,
842,907,243,921,113,855,650,368,191,801,219,969,405,747,575,734,526,638,505,
341,559,445,242,030,488,381,496,822,537,116,671,635,336,443,964,247,623,322,
275,584,055,290,050,562,805,239,021,127,749,725,067,195,715,294,386,756,711,
666,079,506,186,247,160,185,655,785,937,067,891,537,115,049,477,069,371,610,
160,980,902,028,804,393,878,799,016,255,507,113,066,312,475,272,455,574,393,
317,933,440,364,814,599,370,276,929,858,142,497,347,514,363,037,581,750,869,
479,963,112,634,027,734,717,925,501,014,684,666,834,572,648,676,498,503,811,
829,832,374,054,845,577,126,646,523,841,125,705,823,639,651,726,760,399,107,
004,025,721,800,370,500,328,642,178,444,125,428,740,492,739,657,752,462,458,
999,163,391,523,847,821,700,160,355,582,724,925,953,219,642,006,822,693,191,
092,410,681,508,848,945,170,611,921,191,965,381,264,628,754,011,049,082,037,
168,328,140,777,704,781,863,787,175,827,775,637,968,179,289,782,257,484,921,
101,929,056,714,417,345,715,179,098,006,560,886,205,656,710,240,939,560,759,
453,969,626,069,205,195,140,187,403,694,213,678,288,319,138,284,656,326,911,
184,294,077,637,943,227,858,745,333,841,915,000,030,554,309,498,690,779,396,
577,567,702,430,014,046,344,772,258,220,247,758,000,128,414,279,541,206,154,
516,415,127,551,976,538,712,154,364,626,498,146,036,142,647,405,767,196,874,
688,735,446,256,427,776,662,765,079,811,185,133,912,382,902,340,079,131,674,
870,391,466,048,760,663,696,851,302,912,559,044,967,692,026,272,179,666,347,
526,079,387,914,259,790,777,725,332,255,041,687,659,478,985,176,921,319,865,
093,443,638,905,432,730,747,153,161,084,178,587,741,792,055,951,606,867,536,
414,399,781,783,331,035,938,229,214,558,774,242,052,156,965,131,744,241,325,
055,607,928,211,075,437,293,615,430,338,592,834,023,450,877,881,729,036,451,
316,206,833,299,528,033,568,105,873,308,217,716,775,225,886,457,507,973,559,
045,407,617,438,688,471,776,469,482,693,490,585,993,487,913,621,714,247,818,
495,838,604,196,197,185,318,935,447,402,995,148,141,091,667,599,914,283,617,
987,151,178,319,928,121,467,745,511,056,804,933,153,743,594,797,919,150,199,
291,886,725,701,666,233,844,455,027,680,826,403,639,073,489,312,786,371,460,
118,185,848,972,786,759,266,516,677,432,217,673,755,656,494,632,176,525,192,
884,292,103,476,639,004,224,004,247,889,024,812,464,381,836,591,835,347,531,
094,370,273,443,349,886,412,715,790,685,520,777,417,859,740,571,940,247,851,
140,772,012,400,446,558,251,860,383,131,537,424,094,227,147,400,427,296,755,
903,279,100,280,942,890,578,618,956,301,874,890,240,745,095,151,659,812,257,
025,614,794,187,362,708,325,564,863,078,618,106,269,112,703,451,363,397,310,
029,104,890,570,541,187,515,668,445,068,634,945,361,269,555,634,250,178,455,
720,104,459,145,056,163,746,835,333,470,110,298,522,407,391,810,556,640,070,
657,154,201,957,914,924,819,387,237,210,716,729,931,571,003,060,013,516,630,
819,692,211,328,966,446,951,538,470,183,531,791,493,617,795,175,806,365,152,
608,755,145,405,083,931,962,249,755,394,113,906,715,664,903,987,085,162,780,
185,701,970,160,502,461,452,186,615,807,871,595,672,622,066,268,668,050,840,
219,972,307,668,252,998,233,896,279,206,123,517,844,544,277,585,119,957,575,
908,356,997,290,477,690,470,649,693,449,906,534,892,953,126,059,901,668,586,
849,366,826,150,203,432,032,174,688,512,182,036,292,936,400,094,586,993,288,
094,035,663,964,711,555,059,829,934,267,689,611,497,186,349,675,137,759,622,
897,740,539,647,218,066,159,723,236,075,876,116,179,965,181,026,531,809,877,
949,745,802,567,684,005,320,588,491,223,325,921,414,125,831,588,634,646,105,
096,245,689,792,502,963,772,093,058,065,464,227,700,788,178,113,835,687,124,
363,213,093,144,585,225,819,906,036,055,589,766,253,593,027,434,233,440,921,
162,387,307,989,052,951,409,576,732,135,048,285,733,755,926,998,491,363,240,
066,200,288,716,911,946,395,412,508,186,607,935,880,669,700,464,499,770,447,
949,066,899,624,539,679,775,338,273,936,545,253,344,156,519,959,957,640,934,
274,185,283,910,748,539,724,711,091,772,799,221,190,675,744,447,694,879,264,
609,796,446,302,242,606,465,387,983,229,505,908,440,573,282,645,147,803,781,
755,468,970,282,742,173,755,252,083,150,240,352,155,301,153,129,258,168,670,
181,774,566,737,732,346,087,568,946,644,415,319,654,634,490,305,263,669,119,
446,763,481,871,696,196,047,811,956,522,946,842,635,919,142,506,715,982,914,
572,787,725,012,069,106,240,672,308,932,502,525,964,827,504,149,190,520,023,
681,590,515,737,166,792,498,956,264,774,421,842,418,588,102,105,427,725,965,
914,831,822,474,486,029,677,792,689,066,563,824,244,410,697,397,542,457,273,
018,549,307,781,159,529,919,853,464,285,500,558,304,798,701,661,120,099,147,
637,481,806,547,122,124,220,308,436,420,504,309,645,318,624,207,692,879,911,
549,722,507,363,960,438,378,149,241,023,692,960,470,911,623,951,583,709,245,
187,160,568,862,014,493,144,397,421,418,100,321,788,080,763,352,303,484,283,
963,927,941,684,408,429,677,073,526,383,623,783,427,348,620,355,031,089,636,
289,559,511,753,014,636,784,216,048,970,752,175,371,190,515,937,772,998,320,
972,051,629,659,021,559,599,644,412,388,496,860,519,902,956,274,849,027,115,
969,963,555,295,497,885,973,105,310,443,613,825,822,280,447,911,183,478,139,
565,558,435,622,520,345,422,199,723,864,489,302,145,344,896,848,833,121,575,
787,720,339,593,204,911,948,222,754,560,567,538,472,672,295,367,258,925,683,
399,672,628,593,274,866,512,730,960,571,638,226,417,190,244,753,376,992,861,
964,885,189,179,461,697,601,836,510,755,305,699,471,650,477,084,066,226,521,
135,631,727,308,792,534,045,250,889,548,090,479,108,752,512,670,535,591,835,
751,970,409,790,707,062,335,787,822,603,113,883,706,051,647,038,748,348,479,
031,571,408,938,947,088,787,312,642,018,321,748,773,596,190,095,138,099,902,
128,598,935,169,905,853,797,352,817,328,645,958,276,630,726,580,842,467,261,
088,719,370,743,424,838,495,321,341,906,216,082,862,994,850,999,365,136,378,
323,593,178,718,770,291,250,096,792,521,264,745,527,560,288,331,514,247,889,
416,956,838,668,372,655,899,820,561,800,736,893,480,062,120,481,407,747,855,
904,300,270,646,942,081,914,659,790,391,633,261,197,657,769,438,714,790,731,
058,285,464,438,988,858,408,719,616,464,926,951,072,512,149,186,986,371,780,
949,581,472,346,162,184,540,608,487,041,116,162,939,892,664,752,454,214,581,
925,893,920,868,691,323,196,561,371,131,491,498,230,876,112,389,261,553,428,
748,923,900,008,914,330,938,352,873,947,748,520,019,625,285,802,536,711,984,
236,979,376,757,997,877,801,761,179,062,408,057,780,668,151,225,062,879,411,
618,844,166,136,817,060,738,344,961,202,035,882,831,433,573,144,799,545,174,
783,863,601,896,145,357,623,623,874,733,187,563,590,482,124,634,080,881,922,
552,602,559,391,186,906,934,416,768,620,749,691,744,224,365,874,912,556,104,
794,063,955,473,267,973,385,095,640,827,215,750,100,087,451,908,157,692,086,
602,433,736,048,783,149,324,474,967,513,116,246,241,390,555,570,674,506,677,
484,753,749,769,253,108,370,069,482,122,776,910,328,208,317,314,730,392,507,
807,948,160,149,154,207,061,811,587,664,257,474,048,435,740,375,318,158,932,
777,248,763,303,497,764,098,504,444,088,201,530,430,632,555,398,222,752,170,
905,969,125,010,083,737,089,539,506,596,426,361,155,117,511,550,538,455,655,
637,064,144,477,355,178,879,124,220,770,409,606,499,503,091,930,239,626,833,
037,217,990,303,024,356,290,118,773,135,560,889,073,539,124,911,986,177,994,
823,276,828,277,932,195,306,976,719,620,473,692,989,775,744,216,079,919,206,
436,299,748,973,539,100,849,015,504,307,248,328,581,753,941,220,905,062,858,
699,349,961,471,858,875,055,189,757,261,789,516,915,771,034,225,295,907,014,
230,019,056,457,262,817,138,228,267,509,080,746,914,321,565,935,998,373,745,
363,135,101,653,264,829,517,838,053,056,723,293,245,484,634,650,083,106,460,
649,267,847,296,036,412,981,329,349,137,224,780,389,605,740,358,422,266,535,
303,137,996,422,855,819,713,466,935,246,069,451,590,442,137,164,647,569,020,
719,775,636,849,987,437,550,134,081,455,817,189,695,115,655,314,255,132,155,
375,945,953,740,625,803,845,428,406,894,329,705,650,657,767,209,641,248,822,
215,128,648,721,770,376,844,021,513,888,364,502,040,678,108,432,773,141,431,
459,057,344,823,801,415,397,205,752,856,892,612,807,126,948,781,361,274,953,
478,757,961,120,137,512,765,012,486,945,164,144,616,211,565,782,601,248,332,
349,968,041,150,263,650,735,490,109,683,695,845,585,216,873,311,916,513,418,
476,364,956,036,561,513,195,236,029,342,548,627,283,849,896,473,580,713,138,
178,642,678,865,812,045,388,711,815,699,812,457,487,160,225,420,187,978,583,
849,948,837,783,114,181,650,929,012,194,180,005,200,750,770,285,287,068,435,
821,322,600,112,946,649,744,758,745,422,526,840,670,156,204,347,918,626,300,
994,045,724,532,581,013,872,367,286,508,457,793,963,633,216,704,830,330,751,
977,750,219,469,852,968,839,456,117,019,422,624,773,116,685,394,034,996,158,
986,022,385,065,640,789,149,131,836,020,214,379,161,427,498,058,530,822,216,
616,054,310,586,434,531,847,122,004,594,644,206,570,439,036,100,480,842,926,
795,461,321,238,658,557,285,818,660,328,991,100,708,765,675,822,476,470,356,
838,813,181,276,585,388,943,327,679,632,372,059,015,301,757,664,212,387,746,
702,459,280,412,417,295,816,725,220,443,407,347,391,134,420,440,633,887,294,
880,700,431,441,250,551,465,943,118,007,037,841,093,550,104,237,695,054,959,
201,437,418,667,913,177,335,304,939,296,610,763,971,010,405,675,827,650,007,
558,378,057,847,144,442,709,424,672,494,503,144,242,642,728,569,536,283,934,
120,633,140,411,304,959,727,915,985,264,753,802,412,584,944,899,611,249,338,
566,921,240,481,836,223,682,234,385,915,000,425,651,047,440,119,021,255,913,
550,861,542,047,665,881,520,912,023,784,038,976,460,204,721,195,498,670,596,
236,723,955,258,423,553,878,058,978,634,323,465,691,403,067,668,378,493,889,
354,897,473,216,317,913,870,203,717,348,582,759,628,527,463,612,471,689,679,
632,260,502,755,481,709,779,102,565,636,945,858,670,453,099,736,747,103,700,
819,306,105,467,214,656,174,676,970,203,654,512,875,493,198,365,930,283,335,
547,519,285,872,137,591,887,866,845,555,465,080,624,794,691,878,156,907,986,
879,130,371,011,015,978,780,683,045,389,651,342,772,904,866,214,529,123,244,
632,156,974,314,270,820,818,885,552,731,674,493,734,596,350,808,806,695,814,
571,956,012,883,103,460,595,522,444,473,101,712,163,816,364,729,866,366,806,
341,021,390,973,193,843,124,780,386,805,906,914,460,740,178,799,477,824,434,
669,359,885,658,234,055,957,818,839,569,614,973,457,744,958,992,754,661,936,
467,182,967,281,789,669,051,630,678,801,940,359,663,880,750,343,599,502,083,
127,751,412,644,546,071,217,872,587,289,116,139,312,691,084,971,941,642,010,
829,368,245,818,800,264,024,952,529,392,879,299,873,174,432,948,005,901,588,
578,897,636,096,415,336,200,689,458,118,681,930,232,032,682,175,716,290,330,
443,882,802,177,366,887,460,715,895,571,493,782,454,751,441,870,271,111,948,
588,870,787,876,089,538,292,479,606,073,055,826,352,505,960,841,858,251,007,
399,709,204,635,031,772,093,675,820,039,587,990,212,881,757,173,994,541,280,
350,346,791,381,308,528,911,868,000,725,421,272,399,695,686,520,449,237,354,
730,603,350,005,527,280,774,705,294,562,890,494,704,177,403,269,212,592,936,
369,219,375,982,206,948,014,219,354,506,687,210,617,463,349,527,547,644,214,
263,227,173,103,933,005,838,947,436,245,257,466,364,007,627,667,896,998,963,
464,360,658,309,200,650,467,156,844,425,209,283,468,219,405,780,740,893,882,
816,905,176,093,494,115,456,736,389,318,913,349,738,631,361,287,111,387,997,
498,407,149,758,928,280,877,007,430,934,912,406,368,951,912,416,147,621,709,
238,094,853,362,201,507,025,526,182,417,403,098,380,192,808,287,328,107,166,
577,598,219,411,392,244,995,485,138,095,930,479,718,821,458,950,890,724,331,
477,089,599,130,254,525,127,258,761,170,746,826,816,849,590,669,440,644,321,
945,830,558,153,102,508,609,991,575,899,941,245,059,994,538,364,199,226,073,
517,301,011,972,343,237,769,045,434,797,540,284,151,916,633,917,377,316,396,
342,849,272,738,199,222,583,938,985,930,199,477,517,554,623,928,097,381,325,
744,450,256,335,085,119,364,019,417,442,190,747,160,808,547,225,880,364,047,
986,194,897,187,174,005,312,935,446,062,335,599,574,560,756,141,942,303,094,
075,513,645,964,396,962,025,074,385,299,654,394,619,805,277,189,238,366,978,
307,462,126,632,104,445,355,262,515,906,782,091,347,899,135,256,526,778,599,
639,541,536,063,462,871,313,947,290,799,235,866,808,637,650,365,056,755,584,
909,974,234,210,505,147,585,927,776,160,084,239,597,392,791,152,469,135,075,
039,906,664,201,448,148,157,524,630,724,714,587,894,544,578,273,030,857,480,
444,131,778,537,752,902,255,265,841,426,863,837,202,316,012,725,667,567,131,
762,755,756,565,667,637,011,298,318,590,713,477,053,255,682,772,928,836,311,
575,840,862,085,451,854,588,492,085,570,122,975,972,016,647,465,843,196,487,
663,964,166,750,197,399,927,306,656,818,185,121,656,424,587,917,999,562,076,
679,626,870,316,650,414,300,716,991,955,950,786,735,292,002,032,274,321,877,
913,338,079,886,044,643,323,531,421,792,585,723,343,272,255,923,855,050,977,
075,679,878,420,988,044,012,581,839,389,464,777,827,027,518,091,064,258,385,
604,629,995,938,669,903,227,754,524,608,948,980,864,457,904,075,253,313,276,
337,163,183,162,381,881,644,062,808,006,433,151,254,250,151,929,689,537,959,
373,772,633,853,110,971,700,491,534,911,202,126,225,224,153,565,274,325,013,
652,611,667,119,110,299,517,845,757,506,635,809,534,229,808,266,395,512,887,
054,872,843,422,392,019,837,892,928,556,545,734,485,830,425,401,269,915,674,
904,904,544,095,893,617,940,928,827,730,987,283,883,855,419,931,933,906,377,
668,797,605,155,800,449,879,900,979,927,795,300,705,270,341,718,423,224,799,
904,965,260,866,550,345,384,986,058,429,495,495,981,062,180,147,680,146,351,
232,181,749,194,837,771,683,724,810,970,925,882,367,005,591,218,283,870,408,
711,489,282,073,311,893,062,870,900,871,051,090,831,653,069,633,152,661,647,
297,222,110,994,712,195,342,394,632,663,601,541,479,626,116,283,021,217,631,
255,090,116,538,736,757,111,355,365,117,681,935,948,702,116,750,116,059,942,
035,960,347,771,246,200,818,733,421,244,524,320,527,484,599,157,766,514,428,
947,777,926,727,067,129,562,752,905,720,094,649,665,337,749,669,510,608,511,
409,569,411,519,330,593,851,432,382,410,182,567,324,019,762,135,351,592,726,
922,176,080,909,503,717,104,641,291,828,108,780,389,636,966,650,313,254,234,
805,660,398,759,412,642,905,878,103,327,137,596,062,731,784,869,110,393,734,
541,624,418,985,847,174,581,920,230,835,124,046,785,279,038,230,071,929,287,
054,791,049,921,370,393,227,004,838,019,239,266,251,614,986,287,148,702,002,
654,437,047,798,947,794,776,138,919,683,360,319,899,836,519,748,855,724,982,
491,009,106,723,319,131,607,689,047,742,053,785,600,615,562,746,336,857,245,
737,178,702,083,433,089,469,804,357,681,822,360,556,083,220,317,594,363,850,
674,142,478,226,629,831,094,039,362,361,048,587,258,566,751,970,277,644,483,
876,694,235,220,578,364,651,816,401,075,216,035,427,621,986,845,379,305,575,
714,604,090,977,364,671,489,680,913,326,554,482,008,821,719,844,073,947,219,
923,027,931,841,317,467,019,471,933,093,103,669,027,955,135,917,454,796,865,
233,347,256,497,376,889,437,389,470,536,222,626,647,582,114,142,264,393,737,
366,513,498,222,743,730,730,428,511,822,766,939,904,387,367,981,222,186,565,
396,362,020,856,062,927,335,544,017,474,774,331,725,540,032,286,300,793,946,
359,963,829,002,386,543,440,769,091,290,483,707,691,766,359,890,715,235,065,
236,737,588,085,075,818,292,235,839,077,611,898,651,977,337,049,668,277,126,
774,782,323,423,247,086,590,025,535,923,977,951,982,225,114,446,553,028,206,
910,783,406,301,241,338,007,205,455,009,659,214,603,335,655,407,083,688,571,
573,911,117,536,121,222,589,131,373,170,893,012,073,401,584,578,597,603,758,
617,029,689,967,100,184,342,042,704,028,858,964,252,736,036,202,610,081,005,
790,103,994,335,209,325,632,761,692,301,138,092,267,502,273,263,241,484,170,
441,945,890,730,722,204,244,185,937,643,750,415,552,383,743,319,671,076,911,
822,416,405,044,522,323,390,788,007,006,214,633,382,058,271,876,952,703,236,
223,748,790,604,183,597,824,285,624,956,828,831,308,858,665,020,409,120,620,
045,266,843,840,685,441,693,154,225,868,953,747,306,971,471,742,514,885,406,
597,889,437,568,987,375,115,726,661,344,174,353,620,486,062,306,997,987,848,
642,129,814,648,483,688,837,293,556,842,894,849,971,460,218,078,813,278,703,
265,060,936,954,436,151,818,903,109,721,809,799,564,102,076,300,240,399,935,
013,198,395,493,861,986,860,564,919,613,346,055,399,686,600,464,694,963,290,
923,138,717,182,736,869,058,046,586,504,326,966,203,761,265,264,417,474,479,
738,464,841,386,144,133,644,938,157,212,175,632,547,897,531,574,674,025,022,
167,226,567,027,997,743,642,600,578,759,622,090,894,119,888,822,950,233,109,
866,774,767,035,935,865,693,604,406,023,792,617,788,007,419,387,838,959,288,
639,607,264,453,926,342,719,568,624,290,007,463,887,965,782,490,218,264,044,
800,574,368,640,031,740,662,808,162,349,400,985,742,628,436,552,362,171,715,
484,665,085,511,569,653,039,555,753,269,079,972,599,677,673,774,977,522,777,
543,833,174,518,410,398,793,167,395,926,682,546,282,321,034,374,803,943,096,
110,671,041,500,885,191,599,223,461,401,182,688,686,087,890,935,354,675,514,
622,221,623,534,500,426,952,741,182,336,804,300,543,218,113,720,799,673,890,
510,882,477,093,256,591,483,234,974,588,223,921,911,316,547,017,759,154,074,
759,703,856,853,560,559,269,931,287,282,723,774,084,744,771,744,429,913,750,
809,074,701,112,270,068,025,066,691,143,060,006,532,175,986,712,764,648,063,
406,477,225,525,626,696,579,169,521,818,643,823,464,464,707,064,113,764,660,
775,315,402,799,292,083,328,257,053,602,452,644,057,094,156,450,130,133,155,
815,706,450,275,921,701,712,224,835,184,052,113,491,037,136,852,528,495,374,
192,848,711,075,551,048,414,941,252,336,576,178,124,983,519,808,412,838,797,
679,585,453,243,077,492,321,024,519,465,573,621,844,256,853,450,321,525,122,
036,180,103,325,959,954,627,866,467,010,583,806,095,166,334,584,265,064,440,
887,874,360,779,368,713,948,049,058,046,340,248,439,414,385,857,349,991,344,
200,311,892,355,558,417,376,155,626,691,978,607,357,760,335,259,584,079,504,
199,818,316,138,235,680,776,053,163,622,283,732,584,825,733,282,381,428,899,
520,063,257,032,054,588,304,470,693,238,666,828,504,791,255,368,732,480,026,
485,959,541,725,232,189,778,487,840,059,819,177,071,867,006,809,526,474,962,
409,472,956,800,026,765,978,066,810,666,737,121,301,340,238,049,330,292,752,
161,195,044,824,046,781,783,647,803,054,821,958,382,413,756,063,384,085,687,
811,584,506,714,681,044,787,113,921,720,216,385,539,552,484,569,004,478,839,
043,779,674,682,723,246,229,780,345,429,490,651,417,516,473,957,911,391,213,
053,150,098,092,547,570,269,301,814,195,273,687,736,438,853,637,149,512,362,
705,400,873,488,271,881,181,017,783,190,683,868,577,378,957,665,199,337,552,
671,259,367,748,612,881,737,389,436,240,997,790,793,783,425,749,036,637,455,
879,374,386,867,994,768,333,445,973,140,251,868,520,693,843,082,970,848,425,
915,133,111,786,042,905,618,605,408,220,525,362,769,765,629,737,689,970,665,
356,077,148,137,750,697,836,632,957,095,132,137,592,071,811,400,343,849,867,
023,731,540,743,873,722,606,525,916,113,217,929,821,838,388,483,795,991,063,
648,969,710,379,838,170,979,638,834,376,301,778,228,761,450,068,548,069,260,
387,879,634,982,904,462,485,630,403,545,336,418,858,617,601,599,910,164,581,
686,995,222,546,682,960,180,535,307,331,915,583,244,722,473,003,607,285,302,
052,550,488,604,880,459,002,255,104,027,241,522,683,552,924,573,694,289,766,
177,260,896,635,515,833,672,355,362,878,750,327,581,048,657,304,606,895,725,
209,626,061,903,715,097,012,379,927,828,570,071,622,075,387,052,526,717,550,
811,864,329,029,158,325,079,089,527,948,435,961,459,869,006,556,157,704,201,
295,420,908,710,997,788,690,977,838,138,681,026,940,082,105,769,145,892,160,
186,482,737,271,037,052,965,478,514,699,271,342,610,749,496,513,158,866,249,
467,015,292,395,068,076,907,194,666,789,075,237,004,108,075,006,428,419,294,
876,964,747,780,501,409,881,400,616,919,996,530,580,672,250,513,273,187,031,
811,561,562,904,495,413,823,616,860,249,004,663,793,489,005,804,607,990,792,
942,113,937,901,646,967,358,315,533,622,565,932,237,242,819,491,088,711,684,
994,889,900,189,839,139,717,073,601,674,182,122,201,254,179,617,367,880,372,
916,082,722,586,446,773,855,780,422,624,181,468,318,838,285,578,016,562,231,
237,054,984,838,772,586,578,783,213,843,609,509,316,279,605,725,658,602,792,
589,709,233,641,364,407,031,398,709,239,343,771,306,563,240,751,562,644,792,
535,133,529,962,187,494,627,162,400,527,381,874,064,209,114,142,992,643,906,
018,911,300,996,327,088,696,063,106,547,313,973,126,049,440,734,475,382,464,
394,853,707,912,148,587,292,669,419,153,885,323,754,088,828,386,270,880,076,
486,657,438,978,092,433,426,006,033,082,694,336,296,873,140,789,150,684,414,
750,164,100,968,256,890,506,715,608,598,843,871,942,480,703,043,488,546,327,
416,530,557,417,048,459,768,816,389,922,507,026,743,013,609,028,260,065,480,
975,271,583,601,119,253,014,826,070,602,873,206,103,725,418,176,474,780,791,
272,317,142,763,056,192,478,599,867,261,420,281,432,670,608,106,685,033,079,
468,660,917,507,981,023,152,998,075,972,366,387,466,441,983,662,920,102,804,
653,031,959,443,637,467,540,292,068,127,310,069,100,337,208,889,348,089,380,
898,292,718,023,136,669,136,199,034,267,855,682,724,895,252,306,412,009,658,
186,918,185,972,159,275,984,621,045,166,044,846,375,688,257,131,976,873,570,
255,596,537,875,110,485,653,984,718,820,751,180,369,227,174,157,434,920,454,
417,643,628,547,213,395,245,006,359,844,553,030,196,923,046,792,219,373,213,
360,618,885,346,171,268,449,005,829,172,843,801,124,628,210,381,446,308,572,
934,665,132,583,925,186,879,859,281,898,280,950,688,913,875,870,380,013,638,
308,461,042,892,887,870,255,047,162,266,650,435,808,659,695,780,509,703,121,
826,211,273,728,954,746,956,969,220,793,386,357,092,777,918,800,395,524,731,
246,733,931,876,978,972,546,885,044,946,848,553,836,832,936,926,789,484,980,
626,947,454,174,437,268,811,287,389,075,451,967,268,832,805,038,879,089,777,
230,769,323,891,505,690,595,662,542,588,849,256,928,972,525,700,308,882,100,
722,616,155,849,453,336,897,749,483,628,008,832,644,930,978,900,873,267,547,
728,813,613,437,192,482,456,902,385,871,786,965,149,510,013,768,438,028,483,
936,969,331,625,432,817,451,128,829,969,696,144,101,513,874,488,680,695,054,
086,984,154,101,874,143,904,332,063,102,728,936,055,481,373,808,584,753,715,
004,965,028,428,456,110,703,478,817,269,442,924,506,797,774,288,053,682,209,
040,614,770,665,358,836,419,037,946,691,618,073,734,767,050,736,127,559,553,
011,224,831,880,251,833,178,043,360,289,333,479,569,912,935,944,352,999,966,
865,397,113,428,357,235,989,058,185,981,843,011,423,759,411,243,587,909,228,
255,467,298,518,760,870,951,600,576,814,124,346,673,342,675,258,852,543,748,
162,420,325,474,684,146,854,527,959,596,448,285,478,675,588,207,384,295,080,
736,644,845,755,514,397,463,322,542,667,810,676,882,103,765,328,716,952,386,
074,431,362,036,952,579,402,042,545,778,480,149,443,801,290,375,793,188,058,
526,785,834,421,417,083,510,388,712,380,632,208,194,526,972,227,090,222,458,
801,589,019,294,954,610,896,401,653,617,429,922,142,978,882,384,033,644,174,
266,881,742,846,266,936,708,596,682,496,166,733,903,538,168,072,408,956,368,
423,926,675,720,919,852,914,516,943,178,249,671,370,571,628,266,843,349,731,
187,390,148,960,702,313,899,443,548,791,391,252,087,185,041,553,125,227,345,
424,640,248,214,218,539,332,765,099,004,588,148,803,885,341,490,742,837,094,
425,489,945,330,653,589,781,140,909,232,447,943,781,968,789,461,004,386,894,
489,017,247,680,664,086,051,214,171,967,099,181,096,664,311,184,002,479,479,
322,509,705,381,301,474,179,525,830,218,896,614,125,744,382,694,000,178,308,
554,849,548,992,507,219,165,234,889,492,752,674,028,503,699,920,620,523,357,
237,271,195,602,445,298,594,294,744,208,861,211,144,242,367,427,178,142,658,
489,976,279,181,832,448,510,917,415,983,564,095,375,825,905,461,958,148,122,
909,618,528,407,709,182,669,887,781,855,584,641,286,988,366,602,810,873,527,
271,084,221,068,025,944,942,736,552,761,930,067,773,865,673,287,640,962,496,
263,281,691,978,836,007,943,556,378,232,033,470,620,022,266,539,490,917,743,
334,902,004,486,408,960,144,537,634,836,236,590,379,013,596,888,187,825,687,
105,978,723,384,347,522,488,327,399,689,291,223,059,940,173,236,089,673,164,
825,212,841,358,454,008,092,723,658,553,974,373,736,432,305,272,780,221,855,
872,787,351,184,093,519,010,568,756,704,566,265,129,150,474,145,019,580,440,
740,562,533,852,230,033,034,266,248,957,219,226,980,962,265,852,233,288,529,
770,307,677,193,947,411,431,848,191,755,206,037,943,634,632,120,778,792,004,
201,366,706,315,532,670,272,165,962,074,287,066,534,915,740,530,315,670,477,
949,561,316,892,775,178,738,103,819,369,685,917,825,090,654,899,905,130,511,
398,470,810,826,391,704,868,870,091,833,622,203,387,803,424,814,822,438,667,
487,435,352,473,743,750,384,282,930,624,870,103,613,110,841,707,808,288,608,
896,993,022,881,098,766,569,926,389,931,916,550,103,754,967,417,375,089,846,
970,548,092,338,281,385,447,031,003,100,432,734,714,140,572,453,005,259,509,
556,361,818,245,383,471,136,609,913,398,035,958,595,817,182,130,283,855,472,
041,490,907,567,050,030,549,429,310,795,248,454,693,412,662,540,641,452,653,
860,503,192,863,042,767,827,818,904,810,403,508,949,601,088,807,822,848,917,
768,759,689,132,745,288,231,332,667,337,553,994,384,863,227,180,618,116,588,
524,543,316,213,825,599,681,596,626,897,453,237,328,523,942,228,570,712,589,
941,392,455,940,694,690,979,517,181,292,254,945,634,481,439,949,705,018,281,
806,411,719,893,124,528,777,901,663,252,235,014,901,401,263,614,020,539,386,
214,026,325,836,540,320,004,599,366,217,382,397,985,959,692,656,994,703,196,
113,440,526,738,015,474,432,061,976,547,213,236,023,467,618,201,733,024,445,
723,702,496,400,629,904,293,836,702,646,804,007,657,281,352,099,343,857,185,
448,076,300,109,462,374,735,522,987,149,695,062,913,051,528,034,213,258,865,
240,153,777,178,261,049,749,929,430,309,473,173,689,810,608,407,803,715,374,
442,981,578,618,396,101,976,701,978,234,423,230,219,504,278,539,831,127,415,
005,975,723,034,447,869,210,594,384,840,607,853,802,245,959,271,919,863,157,
358,890,183,348,975,320,403,908,348,702,603,022,686,579,260,014,957,126,410,
503,615,531,523,861,074,379,159,314,812,662,640,490,126,773,597,001,248,437,
311,097,171,434,730,574,159,208,890,731,228,230,984,199,921,210,869,207,993,
171,600,519,139,867,279,204,945,830,362,727,126,400,980,484,523,602,934,167,
410,967,692,310,354,099,024,366,529,927,820,811,349,489,724,856,550,360,097,
428,904,977,780,174,994,533,268,335,743,275,293,236,799,558,149,912,197,466,
554,181,063,871,752,981,157,616,781,408,871,066,836,400,657,069,821,583,303,
266,892,058,914,553,412,607,883,816,273,559,454,363,003,548,216,401,247,998,
189,620,265,948,088,079,929,341,088,954,914,867,341,861,175,315,426,431,839,
814,679,238,106,690,102,940,882,644,948,858,148,237,843,835,141,765,034,538,
839,722,787,719,402,085,841,527,541,993,166,292,908,862,001,608,902,448,465,
820,354,749,045,377,156,415,658,961,566,045,588,765,611,041,715,043,417,755,
768,195,396,161,915,046,727,202,745,518,259,329,846,972,205,219,369,098,892,
879,690,137,135,200,442,098,423,385,161,991,049,175,189,175,181,643,544,226,
077,701,989,001,952,953,031,544,270,581,112,478,399,878,600,902,963,866,079,
826,905,586,531,842,149,828,957,847,202,218,739,526,233,011,518,314,818,571,
471,414,699,221,851,640,842,578,716,846,754,766,128,568,523,522,046,842,370,
137,343,376,950,910,810,566,090,151,821,893,205,716,556,370,742,019,642,991,
448,703,052,107,554,226,377,297,553,800,483,054,814,875,374,346,963,872,582,
462,624,077,241,121,221,194,397,057,020,516,190,857,207,492,917,847,904,442,
327,341,986,679,138,852,365,555,412,116,204,689,348,594,524,504,438,934,270,
779,925,980,491,814,670,362,197,272,923,909,263,361,084,595,500,461,885,162,
970,548,079,001,108,881,672,608,964,808,923,164,187,130,367,386,023,244,358,
213,927,503,505,309,749,978,311,210,113,875,217,644,914,661,848,335,618,239,
280,617,156,587,006,023,922,238,670,687,784,492,086,374,373,374,392,140,551,
794,301,944,174,307,403,727,859,503,832,298,365,555,111,093,137,380,921,147,
619,620,772,368,190,044,847,490,497,717,079,518,740,231,088,179,731,757,666,
433,351,651,871,942,216,464,306,184,844,981,558,823,884,513,334,949,095,320,
195,046,502,267,962,346,860,962,750,039,661,670,525,362,203,431,029,264,566,
618,085,405,010,538,365,750,973,076,256,562,824,201,640,008,882,166,439,682,
558,573,511,957,667,995,088,615,369,074,984,401,761,463,080,803,269,451,582,
590,535,202,157,714,659,862,444,933,821,360,661,334,670,070,331,832,830,303,
693,523,822,918,176,116,830,901,393,451,700,938,999,698,703,255,839,097,036,
711,720,769,973,269,308,432,935,088,032,954,907,793,024,960,285,875,061,378,
772,831,685,614,968,399,608,284,115,131,207,898,421,400,523,992,037,518,881,
488,129,979,279,494,816,827,448,194,809,390,227,481,557,701,052,801,957,679,
473,339,297,941,790,851,279,761,617,190,698,814,270,522,344,408,412,958,666,
145,980,151,521,589,209,061,956,240,136,099,996,616,000,216,191,659,645,145,
295,764,826,542,159,419,238,747,485,682,344,534,014,640,978,288,046,341,221,
990,707,831,005,983,425,788,246,116,986,941,517,452,841,144,175,642,101,017,
992,920,615,199,691,683,005,057,919,324,655,381,497,713,611,710,422,647,302,
338,352,810,021,226,094,145,748,833,012,528,976,659,701,876,157,997,826,846,
065,438,850,026,913,068,445,654,655,579,825,316,524,838,354,151,529,557,907,
753,246,108,982,171,779,395,995,058,740,812,501,076,977,550,004,955,597,485,
249,696,646,696,112,238,346,243,631,764,865,197,829,459,562,859,457,790,974,
520,696,445,260,879,708,074,920,217,701,714,594,456,374,005,436,936,171,209,
172,374,689,552,463,083,734,897,460,954,649,458,642,617,899,584,286,542,713,
399,792,587,937,316,988,544,538,394,884,608,725,970,776,569,079,265,089,260,
941,879,012,600,642,813,804,261,319,054,595,791,607,899,547,801,932,023,232,
064,877,621,199,069,037,114,958,023,429,213,182,806,174,188,954,651,537,893,
133,902,115,033,009,493,335,217,892,688,637,615,601,062,659,971,064,752,604,
515,448,747,071,556,160,400,563,991,995,602,698,007,163,278,767,044,502,595,
621,277,148,544,348,387,444,366,960,842,540,013,496,649,628,431,300,310,380,
273,991,298,142,725,316,144,050,250,369,702,905,899,152,903,981,432,815,178,
222,666,811,035,505,696,747,431,290,442,426,825,707,286,539,259,399,300,280,
723,601,438,207,343,297,383,772,391,711,249,565,487,602,038,396,185,818,427,
736,248,488,078,171,340,703,481,954,641,960,666,103,417,227,615,532,441,072,
370,762,995,353,449,288,183,998,746,524,634,245,702,676,162,249,710,265,169,
600,173,035,670,932,755,068,514,368,118,773,573,058,753,856,010,129,568,561,
219,215,877,567,512,141,492,992,802,618,234,717,234,697,888,852,370,256,275,
717,763,917,906,603,710,180,247,870,112,804,851,318,931,930,107,887,132,279,
738,242,335,886,384,168,274,567,616,660,209,752,257,828,749,531,377,825,122,
621,027,419,414,352,156,311,270,798,110,849,818,575,302,491,622,346,063,861,
266,691,507,447,782,380,867,589,080,745,298,041,746,651,999,228,842,082,097,
701,261,942,563,183,837,208,334,188,076,333,315,311,696,311,061,396,003,540,
818,483,078,304,882,069,436,303,389,018,858,708,109,368,287,715,386,622,477,
950,083,270,768,416,095,499,650,834,874,419,382,945,367,920,715,362,990,483,
680,910,871,554,542,355,824,294,320,074,521,221,515,839,002,784,114,918,680,
409,966,821,384,238,924,670,254,660,935,754,266,221,706,602,265,636,426,734,
650,957,473,114,797,530,548,873,551,074,869,109,134,519,441,075,565,554,850,
469,504,050,208,625,196,083,849,879,229,822,899,963,064,144,850,352,494,407,
309,803,724,283,680,877,956,038,465,861,955,188,880,433,415,013,639,316,529,
799,819,554,386,675,394,979,088,298,914,543,733,303,299,106,683,627,310,519,
670,445,493,083,406,595,967,716,382,979,917,389,420,555,479,260,054,379,831,
012,861,223,451,621,086,350,740,923,079,443,064,278,713,576,198,834,921,465,
519,632,970,696,471,147,191,116,458,548,137,847,955,980,968,707,310,964,427,
542,415,552,928,909,679,612,189,870,776,678,066,179,575,180,498,301,197,036,
248,765,887,253,956,422,809,533,640,644,916,449,166,037,508,151,422,457,549,
280,408,919,415,559,122,621,329,146,457,770,885,598,334,922,288,716,148,641,
532,574,005,967,062,647,451,365,342,207,383,309,477,480,486,945,345,891,854,
536,027,453,713,016,449,388,548,547,074,599,289,599,434,241,933,658,635,183,
500,161,711,108,908,695,732,180,309,588,840,092,938,422,246,055,506,131,886,
455,312,516,050,832,732,470,863,659,853,224,930,153,715,163,829,826,654,771,
542,846,467,636,940,817,021,650,066,680,929,195,261,194,938,327,438,009,088,
411,291,390,545,307,688,850,170,753,444,640,331,073,367,817,908,547,044,081,
292,359,604,029,393,851,773,246,894,808,661,665,396,357,804,926,438,060,943,
977,040,004,875,937,464,223,525,599,106,544,215,133,992,003,213,138,945,439,
792,957,233,701,429,382,828,016,013,015,693,701,937,019,776,885,625,921,535,
638,897,085,195,712,652,682,064,479,368,306,883,664,354,800,931,525,662,408,
980,299,749,915,144,447,407,149,096,770,527,251,424,724,284,838,695,249,479,
540,128,301,181,807,293,961,717,993,788,731,957,617,647,783,390,630,543,578,
048,244,889,765,832,671,235,369,753,122,360,794,134,536,802,185,079,208,427,
803,511,476,649,727,245,848,670,082,176,218,013,730,166,855,253,441,836,705,
651,189,108,983,227,513,897,284,894,356,686,885,797,560,535,512,510,706,005,
330,054,003,047,491,940,099,040,786,930,126,748,205,426,787,552,453,142,640,
280,856,741,069,792,391,327,549,563,004,361,232,942,587,913,837,220,167,311,
988,577,143,920,270,282,161,979,059,771,107,859,131,554,829,301,377,496,448,
470,802,394,744,324,344,790,444,046,255,623,797,811,928,141,061,956,243,148,
873,108,904,979,882,282,963,507,519,741,806,045,323,365,896,397,123,361,029,
466,032,343,617,484,008,860,133,614,257,319,934,958,166,814,743,199,183,378,
558,987,662,334,233,065,967,238,542,380,454,126,397,918,639,280,116,123,201,
475,049,118,655,913,018,125,504,612,159,951,567,187,177,545,203,685,974,084,
316,980,111,324,643,923,053,376,325,904,207,785,778,434,717,745,547,377,128,
474,576,045,926,650,575,740,304,702,463,074,096,695,268,061,721,276,243,578,
952,216,557,764,126,886,163,331,353,084,491,645,483,659,637,059,045,578,108,
870,194,720,270,720,371,076,508,676,982,010,606,371,416,133,229,090,201,925,
287,884,378,778,402,528,355,381,261,562,067,479,759,495,131,525,817,776,291,
782,193,008,409,998,468,007,389,228,039,393,495,019,779,466,087,879,872,347,
335,025,046,983,487,650,575,262,791,060,938,742,951,912,783,413,762,056,332,
849,852,816,176,832,774,491,089,461,732,089,188,274,793,585,801,995,589,228,
757,312,816,848,157,369,645,673,989,498,706,866,819,388,921,000,196,621,330,
082,136,029,888,643,024,517,805,652,416,853,434,614,488,360,757,451,481,735,
658,948,108,071,142,512,130,689,347,289,465,741,566,506,191,039,174,779,167,
107,759,838,032,851,031,749,652,968,593,228,621,832,026,819,182,278,669,832,
545,327,122,844,341,450,083,773,595,119,895,460,629,947,202,038,820,654,373,
282,471,508,781,359,566,783,644,402,854,034,091,712,263,001,477,982,908,557,
221,565,927,606,243,906,205,302,952,609,726,709,871,386,618,232,637,081,410,
665,461,727,448,410,689,371,323,922,833,537,070,174,170,683,552,800,050,743,
160,919,982,774,197,172,428,384,720,861,256,942,230,804,974,509,680,601,046,
846,402,059,008,633,450,126,892,377,958,490,554,144,860,886,040,675,612,426,
275,033,416,392,572,712,757,905,557,948,789,853,040,638,358,384,442,736,351,
661,776,731,562,858,184,597,435,157,934,030,958,551,350,183,024,915,631,880,
191,843,660,480,626,973,856,423,314,517,374,171,421,171,783,564,880,819,528,
019,953,350,699,101,215,676,177,208,943,030,248,983,276,099,406,437,203,046,
134,147,991,104,264,892,186,859,728,065,591,354,421,704,317,187,837,108,578,
373,979,844,256,240,011,804,014,265,457,936,021,483,612,363,738,073,955,401,
191,051,091,289,707,674,843,731,404,288,123,211,279,700,108,279,366,259,302,
154,765,982,732,562,201,450,315,533,831,251,343,229,526,686,885,008,797,571,
182,944,663,328,417,856,078,686,350,637,713,222,453,978,566,329,190,773,976,
787,839,909,153,247,590,440,328,120,933,144,382,336,288,042,218,208,781,641,
094,081,781,775,039,253,546,040,748,864,833,077,873,625,623,851,859,012,323,
333,552,778,796,035,527,702,964,277,720,759,102,754,131,273,491,022,210,612,
398,271,971,009,968,620,716,656,257,257,244,621,081,336,349,026,144,356,846,
108,912,771,307,345,397,666,500,090,290,410,095,097,292,457,789,142,967,189,
480,060,420,430,940,999,669,983,293,566,702,237,995,393,034,255,769,551,684,
704,533,523,210,357,939,628,993,325,758,325,570,367,229,759,125,932,649,207,
900,417,030,232,487,291,694,741,616,869,732,401,188,953,293,699,614,882,486,
804,010,678,759,351,073,858,596,191,503,416,806,157,794,002,641,247,456,801,
282,385,945,824,612,663,077,082,959,374,853,924,391,150,374,863,167,447,424,
903,286,009,048,816,711,613,383,197,957,479,452,911,778,503,768,962,124,804,
370,397,293,368,958,752,311,366,120,918,734,597,935,632,638,073,709,530,322,
225,369,809,131,010,881,273,658,353,714,826,749,602,155,847,272,040,629,317,
166,757,725,114,036,607,930,212,066,288,440,311,807,810,347,654,085,043,438,
277,569,396,252,370,791,173,608,396,481,554,089,280,147,935,564,231,132,337,
051,707,663,410,879,490,376,507,496,797,224,824,477,422,075,216,013,339,041,
499,274,375,245,649,571,485,497,341,159,089,128,681,845,873,974,956,855,958,
391,341,489,271,535,196,468,016,267,740,037,025,395,015,663,531,253,736,682,
281,362,403,756,121,784,465,510,917,654,175,835,710,508,957,656,813,752,974,
737,986,541,795,596,096,866,024,429,830,840,950,757,102,846,654,489,466,514,
953,611,981,914,460,833,930,393,391,261,101,973,358,263,322,828,986,213,062,
452,591,399,622,627,179,205,816,885,799,324,519,075,160,188,863,822,569,029,
874,796,726,695,545,704,923,922,244,799,502,651,156,398,401,147,057,127,795,
925,627,771,996,464,207,967,507,267,092,098,997,536,440,849,522,291,976,038,
385,555,647,357,812,373,710,365,890,135,397,329,805,796,136,271,138,287,198,
591,188,656,423,680,618,578,052,698,390,013,915,007,454,878,099,663,523,070,
441,503,691,897,410,675,705,121,818,600,422,382,545,161,499,512,232,533,699,
933,196,172,052,543,588,573,033,889,722,063,206,344,430,553,094,371,226,802,
581,334,894,173,594,639,703,225,887,765,310,825,839,175,615,713,847,972,773,
957,870,813,415,876,930,347,299,115,601,353,219,070,981,349,412,578,087,811,
987,974,552,595,083,461,902,053,314,486,420,804,955,445,946,004,939,310,021,
327,909,618,888,090,626,552,708,672,756,670,762,979,294,529,661,893,681,063,
949,060,066,458,624,033,705,147,587,066,855,643,938,728,855,136,350,903,647,
266,527,000,444,472,819,794,195,204,983,437,935,002,801,450,325,817,776,595,
990,211,296,222,373,222,643,100,011,015,720,927,575,508,365,331,369,363,333,
398,440,269,919,233,460,644,094,761,127,255,459,364,962,093,997,582,770,381,
680,462,634,350,219,246,177,045,025,200,158,129,446,745,679,146,825,287,727,
098,389,323,932,886,106,317,626,277,723,863,061,487,111,225,662,572,956,620,
059,196,168,633,021,420,490,915,904,285,684,571,333,658,773,871,608,201,540,
857,749,408,490,122,383,803,764,511,738,820,202,720,556,337,525,497,784,208,
976,455,224,071,281,653,826,069,921,296,636,421,689,631,646,380,350,087,401,
940,858,778,239,851,331,716,070,921,401,197,635,740,150,000,663,600,782,692,
431,834,714,789,931,774,588,253,842,843,891,890,133,007,031,243,054,620,774,
241,704,671,756,627,238,776,721,769,663,220,093,294,276,586,370,679,958,322,
885,242,668,855,236,657,210,240,319,459,920,941,534,627,035,555,329,586,032,
917,713,981,507,561,120,001,528,819,779,888,784,932,994,310,320,070,298,650,
394,906,191,856,751,169,545,642,852,025,887,051,499,694,908,844,947,548,102,
986,706,317,993,392,579,029,374,546,890,308,048,636,729,213,130,729,764,954,
970,709,647,558,893,399,102,679,087,656,653,749,895,273,662,226,081,229,505,
884,131,865,068,097,570,782,558,226,052,516,124,332,587,798,146,465,458,549,
101,132,330,845,602,716,342,265,584,213,409,802,780,269,724,336,893,939,566,
674,485,301,836,584,346,069,687,235,080,100,398,832,875,247,733,252,909,707,
289,497,750,888,495,459,302,605,931,689,107,834,475,617,881,032,438,746,387,
144,378,624,107,676,417,867,402,101,680,710,086,477,928,018,603,043,845,478,
644,490,086,641,207,507,918,603,709,546,676,287,270,173,905,238,085,010,526,
882,593,785,608,361,447,976,994,632,953,680,588,661,569,290,998,523,238,229,
926,800,451,440,694,821,665,210,017,410,478,643,916,827,230,888,715,698,037,
558,611,379,514,526,275,092,741,503,803,774,439,546,351,320,853,329,162,223,
926,602,370,904,444,885,899,695,442,364,577,603,861,653,539,057,674,111,772,
278,249,949,761,085,067,950,854,629,039,857,853,514,024,178,035,897,857,093,
867,836,256,611,864,913,072,570,656,499,118,978,818,048,115,561,174,847,929,
539,213,717,930,630,084,863,057,098,449,534,013,120,889,764,650,197,143,578,
416,850,068,094,292,805,403,691,901,880,604,132,885,556,223,984,357,615,946,
179,946,681,135,939,735,238,463,620,800,216,826,073,896,381,365,887,545,813,
757,884,393,647,849,414,678,583,780,398,121,161,816,976,250,674,527,275,713,
436,865,596,651,428,770,526,733,243,905,437,075,182,100,546,825,967,095,765,
759,632,195,966,837,381,962,588,015,143,197,757,022,058,093,770,113,337,895,
734,155,890,517,145,271,760,390,823,046,960,336,799,742,855,720,709,572,475,
939,466,962,414,831,975,608,428,708,963,759,522,890,176,522,978,288,055,857,
571,367,447,973,528,303,979,152,127,968,225,335,114,569,933,174,045,125,474,
279,226,425,034,483,280,592,430,942,532,991,802,271,727,978,354,389,937,573,
168,262,249,891,944,557,958,251,270,057,445,885,290,937,777,725,824,173,621,
115,384,418,916,515,330,663,506,638,926,251,149,002,082,006,606,759,167,519,
429,109,238,234,790,960,391,729,834,894,392,372,166,884,119,203,542,742,325,
989,994,774,104,832,363,324,224,723,990,811,640,052,521,842,835,981,231,890,
511,796,195,145,506,519,502,396,344,536,274,646,391,828,833,430,875,890,959,
596,578,123,579,643,368,823,381,983,362,260,914,153,145,218,825,297,815,402,
637,673,584,258,713,175,231,782,909,972,459,291,822,600,389,675,635,102,042,
532,227,517,408,823,518,346,281,763,152,375,971,165,638,878,663,158,667,034,
229,956,789,331,117,162,766,214,189,476,038,826,176,660,312,339,834,159,008,
277,920,014,869,889,374,467,680,973,612,240,965,966,343,803,521,976,040,857,
250,567,662,911,513,962,830,898,180,579,266,078,345,928,548,806,916,963,711,
988,625,936,164,545,962,204,766,154,927,250,266,407,456,163,646,164,986,924,
823,661,702,793,735,424,923,560,260,629,991,465,352,339,527,080,932,872,646,
202,448,347,015,973,962,012,355,470,094,272,245,208,266,939,293,391,734,559,
968,116,244,002,456,989,950,958,690,132,214,357,738,665,406,345,655,445,953,
135,471,621,794,645,259,152,977,874,536,949,452,760,712,712,654,125,262,114,
183,950,102,747,758,648,940,330,211,135,482,249,125,178,449,989,238,074,204,
209,549,820,267,165,620,052,601,922,722,580,991,498,928,649,722,316,959,348,
195,010,155,263,819,554,186,346,696,675,127,802,175,828,453,509,023,968,705,
940,029,628,842,136,899,740,753,467,261,112,853,214,995,676,083,102,140,994,
151,789,999,426,675,499,745,911,356,380,533,033,334,717,680,292,723,723,224,
975,672,296,394,527,144,416,436,030,182,867,399,196,394,299,003,577,300,545,
734,186,802,260,521,706,273,578,215,440,067,248,530,125,214,928,013,419,982,
583,629,818,844,593,331,686,749,968,381,509,507,106,315,668,093,371,669,195,
144,832,748,110,766,370,592,030,489,893,136,789,415,915,598,715,471,497,120,
343,850,806,319,709,714,168,205,297,128,993,089,693,310,385,550,493,660,783,
589,004,557,560,786,849,522,628,875,145,218,713,132,211,672,420,388,414,711,
636,168,548,430,927,232,298,210,698,575,322,512,616,359,412,389,135,412,066,
647,339,757,461,909,505,799,144,816,294,563,791,022,299,044,581,922,156,554,
588,843,916,542,171,041,248,365,220,487,513,332,774,389,136,970,134,902,780,
869,149,897,928,846,932,471,825,184,156,789,025,136,071,065,454,525,478,180,
588,062,826,263,910,230,011,130,345,382,331,516,522,376,170,499,014,137,023,
511,084,186,804,573,056,930,596,976,628,535,635,195,267,408,305,960,866,379,
727,739,320,447,688,412,294,192,746,627,517,832,296,502,253,883,771,290,416,
410,618,291,739,004,450,337,012,415,857,592,455,720,307,862,789,189,748,323,
223,941,467,894,864,218,983,581,241,655,520,999,910,537,770,170,066,332,973,
806,668,334,079,544,311,725,406,391,689,381,351,166,258,446,797,044,025,774,
587,009,748,194,987,503,218,723,148,404,022,055,574,840,729,723,498,068,687,
396,522,952,904,808,413,024,626,873,365,440,230,328,991,928,239,479,947,585,
760,346,964,857,545,037,398,282,144,872,889,227,307,936,628,510,417,665,501,
135,132,140,802,641,026,014,631,571,746,820,657,205,632,216,540,687,965,785,
864,861,185,270,596,704,272,768,924,250,582,687,642,046,548,545,216,692,174,
748,668,290,312,997,176,759,619,728,946,940,636,383,677,329,051,046,228,560,
754,739,059,115,108,561,418,037,844,626,785,820,462,465,366,444,140,806,840,
283,911,893,664,067,874,279,879,374,489,327,060,015,746,626,524,890,455,897,
562,126,213,245,547,967,749,020,322,755,580,200,519,793,130,225,294,661,153,
405,277,425,383,487,256,499,771,936,836,765,631,897,951,691,966,924,895,900,
315,351,076,901,562,133,300,336,129,372,678,598,633,637,750,723,228,177,614,
611,248,632,403,815,826,716,271,896,744,062,752,090,749,758,763,543,734,076,
194,108,654,321,678,970,139,887,801,179,123,245,286,113,946,944,891,053,444,
232,419,089,760,599,907,582,268,300,053,590,878,019,535,766,383,032,607,293,
464,290,758,859,083,271,553,226,655,334,862,926,390,588,227,848,953,633,137,
246,271,159,215,360,224,010,087,484,510,597,717,449,063,856,409,931,462,969,
848,733,915,387,232,501,400,682,174,595,970,592,432,646,135,368,183,193,132,
961,116,545,537,473,152,726,916,795,853,530,824,348,268,653,815,081,717,056,
902,518,565,005,554,132,420,344,739,711,179,904,667,406,834,786,457,108,537,
759,169,204,439,876,961,927,401,391,497,431,089,236,295,111,985,285,619,706,
642,553,687,721,450,677,663,776,888,715,701,931,288,604,302,442,618,206,811,
058,087,435,872,501,362,172,147,021,742,466,169,489,745,542,194,674,493,212,
567,243,144,895,674,256,401,507,347,475,547,513,302,217,969,804,129,396,568,
921,087,161,199,457,474,305,853,105,637,217,783,981,011,743,138,944,080,224,
921,396,048,591,721,682,890,311,912,101,155,356,013,029,092,209,516,611,751,
115,721,832,856,604,663,271,418,203,125,368,604,884,971,302,863,840,243,436,
543,981,721,268,740,559,345,437,142,008,999,915,942,755,934,044,088,161,740,
391,819,833,900,660,554,484,899,252,037,807,727,501,739,709,794,381,472,816,
137,902,241,426,347,527,408,805,155,115,444,585,572,538,237,736,706,551,406,
862,906,871,928,860,824,459,356,743,080,392,025,884,057,576,145,475,283,250,
128,968,583,935,019,934,637,970,828,254,033,437,673,759,981,882,632,978,517,
473,423,463,443,350,126,716,582,404,035,255,517,883,644,604,550,838,617,294,
733,249,772,212,872,216,608,733,886,263,509,909,416,137,590,311,461,095,787,
565,138,694,876,815,620,099,818,866,712,807,668,100,185,850,473,419,102,977,
053,804,703,740,347,019,925,122,920,025,483,091,545,899,090,026,606,353,993,
521,027,341,253,736,973,156,220,529,696,255,757,104,818,136,003,454,294,341,
073,645,434,282,690,713,508,208,653,254,343,768,775,304,852,853,224,967,442,
899,632,526,174,182,802,141,949,014,241,146,980,860,742,676,122,036,571,841,
053,086,784,964,748,457,901,847,419,696,581,483,170,968,293,719,418,320,946,
758,890,791,889,997,126,828,271,668,152,192,217,480,489,782,509,110,760,907,
559,354,374,109,750,113,329,435,998,192,639,588,409,274,578,276,011,983,270,
420,259,387,351,422,750,089,875,702,737,648,381,629,795,264,445,824,366,570,
348,742,545,314,909,130,460,346,631,502,730,122,597,035,019,207,543,295,417,
564,671,555,685,347,913,281,907,052,714,862,991,527,942,159,069,499,228,220,
111,960,978,898,782,572,044,092,278,513,600,285,583,345,564,253,439,989,593,
981,188,577,354,343,568,047,816,210,539,284,268,842,429,325,153,444,708,916,
874,293,546,350,340,750,510,962,177,910,803,962,563,865,237,247,244,074,992,
299,970,087,996,165,541,629,544,973,229,438,602,147,630,960,975,420,989,140,
634,747,323,690,450,627,086,385,906,338,205,115,584,361,050,033,416,120,114,
030,782,749,401,046,125,407,389,159,329,374,483,696,423,862,255,937,737,690,
416,953,159,631,813,741,381,629,973,382,537,035,093,695,858,097,980,482,351,
167,689,493,718,032,274,494,281,067,211,531,846,456,087,170,028,652,802,852,
322,507,648,096,663,501,945,731,786,407,610,085,576,358,203,232,731,012,287,
435,312,525,090,487,475,644,489,163,542,923,784,722,617,468,714,358,221,981,
369,289,745,567,509,424,654,551,661,993,610,833,740,055,711,559,799,959,420,
352,916,644,433,644,346,757,086,154,415,583,897,371,431,228,190,657,257,401,
524,719,037,709,717,180,198,975,856,904,616,090,177,184,689,052,794,084,480,
232,835,244,806,818,536,293,109,110,296,021,066,181,593,954,794,316,604,584,
312,624,177,184,314,769,342,033,206,150,102,908,725,164,302,225,342,989,826,
387,573,290,000,546,530,855,125,892,334,584,945,727,481,031,670,045,964,567,
939,243,971,628,089,563,054,098,804,202,473,298,962,029,902,055,633,805,309,
600,037,283,516,847,418,224,984,349,963,879,642,069,579,779,127,186,768,353,
822,102,604,679,424,979,205,730,592,549,449,535,438,743,958,036,421,097,899,
860,561,318,712,284,216,266,550,198,092,095,056,953,499,339,541,387,636,838,
855,468,318,558,001,248,498,357,588,781,988,996,699,039,141,613,278,103,061,
995,119,383,806,110,200,680,731,850,502,536,795,642,682,060,992,985,261,242,
436,656,689,023,713,656,514,672,423,061,376,378,559,839,066,491,472,908,339,
321,514,020,679,801,666,290,284,250,869,713,311,499,192,267,516,137,189,170,
187,302,018,401,308,112,690,126,977,896,112,491,490,228,266,586,721,992,083,
543,442,347,259,558,312,124,253,496,219,715,995,053,689,682,780,010,903,597,
810,649,488,617,618,983,966,387,502,946,591,345,441,036,195,582,269,708,702,
473,106,543,053,164,638,458,758,470,614,452,068,646,982,636,096,246,576,804,
318,426,277,824,740,260,788,244,683,908,475,058,306,850,798,744,045,942,489,
140,266,403,402,792,684,474,924,806,237,839,519,308,798,906,594,430,598,076,
349,593,096,833,105,911,226,060,492,754,120,132,327,705,565,560,328,901,253,
003,785,342,215,335,207,416,886,106,518,661,660,641,858,726,617,182,588,301,
942,019,509,765,843,312,286,072,490,481,971,300,683,277,795,176,052,274,910,
127,371,433,554,530,907,131,108,416,847,507,200,146,401,307,442,620,201,119,
614,677,787,648,630,486,935,180,575,600,829,139,059,431,802,782,425,849,648,
035,294,683,436,276,637,088,348,258,348,765,777,210,491,775,324,825,880,493,
990,181,005,821,492,433,279,445,091,095,401,956,485,605,029,432,181,931,876,
423,257,564,394,938,728,322,192,673,775,809,579,549,368,711,290,885,375,254,
431,970,816,050,323,106,970,096,021,133,098,988,253,047,949,853,345,771,340,
980,107,624,930,991,378,028,231,322,188,087,960,618,010,070,522,795,511,939,
069,267,358,278,035,595,878,834,766,995,689,742,958,531,703,840,111,687,591,
322,383,576,275,870,997,198,080,313,147,667,257,805,183,888,789,040,099,884,
336,508,452,442,644,214,955,324,548,757,604,822,862,781,179,528,842,089,621,
537,158,093,659,413,926,439,285,306,419,535,928,092,111,944,844,189,466,186,
041,807,733,756,883,477,866,430,231,870,185,710,625,698,952,217,787,883,092,
926,625,086,646,892,700,802,501,653,020,117,337,855,060,073,876,708,221,984,
173,079,360,452,127,682,869,538,498,186,220,389,181,558,206,932,452,946,090,
127,940,417,878,992,419,993,572,809,670,374,888,901,329,090,693,628,765,039,
248,149,563,747,817,617,776,324,073,428,421,703,224,641,266,839,142,683,777,
802,469,957,621,587,908,804,305,261,106,220,987,759,951,904,060,298,118,787,
255,844,507,988,594,057,066,275,383,662,601,016,913,067,202,997,346,370,951,
128,634,884,770,153,924,047,873,709,768,356,323,179,467,019,446,316,268,510,
184,865,456,308,628,579,025,137,029,753,062,506,848,683,511,175,410,862,111,
212,825,643,868,289,602,407,650,968,930,227,297,600,613,698,463,805,603,016,
049,316,115,891,111,147,440,762,116,237,934,510,221,119,123,906,172,268,710,
590,717,386,156,501,262,445,376,587,263,413,887,159,753,058,364,906,699,652,
219,451,778,183,048,815,865,325,835,748,068,756,258,703,119,316,260,033,855,
512,534,703,055,032,742,485,974,721,611,312,768,934,597,863,841,727,972,222,
425,341,851,191,464,346,363,843,855,147,938,430,059,329,448,294,343,205,702,
346,867,189,946,061,475,977,582,861,948,176,547,001,415,373,874,472,043,954,
544,876,221,728,516,560,984,099,259,788,009,314,890,110,754,364,774,653,716,
315,689,236,895,481,808,747,382,394,881,659,356,262,636,481,373,214,038,932,
172,864,375,409,592,908,257,226,331,527,886,211,844,184,048,709,187,901,888,
376,395,040,240,511,418,023,004,985,106,993,629,635,038,221,147,814,488,880,
050,432,322,504,035,784,877,672,797,584,665,160,845,690,535,997,407,068,870,
488,062,762,768,469,612,659,522,742,056,268,061,822,971,103,964,070,026,213,
011,136,248,551,769,827,463,390,204,323,627,704,999,848,092,304,945,909,233,
458,083,192,668,411,640,335,286,939,492,225,660,828,564,949,320,143,089,216,
462,467,440,148,419,852,360,256,741,000,021,159,797,476,849,678,179,006,134,
662,385,895,134,324,500,984,260,812,356,686,898,070,982,252,313,599,579,434,
080,946,967,911,250,859,225,827,340,469,245,998,604,413,155,614,176,898,969,
532,158,155,273,693,459,724,024,151,131,294,527,713,586,064,170,956,546,191,
247,998,163,490,298,083,529,555,403,157,374,169,872,103,137,672,100,999,995,
158,046,978,616,899,980,054,473,227,077,560,046,961,234,706,181,432,090,914,
186,104,245,836,835,571,373,856,181,197,746,797,567,610,272,546,040,698,591,
308,831,279,084,508,999,048,719,583,980,355,207,746,799,668,287,063,049,268,
629,695,202,213,128,233,177,794,075,084,903,375,379,338,236,524,839,241,132,
346,883,389,184,404,963,363,081,965,530,332,149,745,363,436,497,106,929,761,
387,084,835,950,677,238,810,683,084,745,806,616,547,300,561,778,495,454,651,
667,870,533,847,090,148,269,911,410,502,301,360,067,440,363,657,324,891,536,
687,498,307,945,056,812,579,480,698,795,036,496,679,561,332,630,162,238,030,
882,411,312,511,577,976,150,343,716,934,515,846,738,754,807,886,534,548,451,
613,572,623,056,702,928,047,165,508,040,405,810,326,963,720,872,570,575,558,
097,943,902,381,101,153,551,235,618,569,402,810,769,804,048,683,969,362,811,
240,306,157,181,676,281,968,166,032,600,212,109,301,061,795,613,662,492,124,
575,477,230,761,822,909,910,656,577,881,528,499,813,548,029,604,106,313,683,
145,808,093,805,877,118,083,725,035,384,313,075,709,774,432,503,272,206,410,
879,100,596,014,960,301,909,599,306,201,235,174,222,488,834,617,367,847,196,
061,051,048,792,457,656,105,077,984,521,564,061,344,092,610,281,751,005,055,
851,474,833,626,598,292,795,102,900,672,437,610,775,771,327,724,758,176,021,
227,495,202,267,253,766,876,182,276,119,874,699,950,177,594,874,156,565,598,
954,109,457,687,689,073,850,721,655,424,685,981,717,544,091,027,180,299,459,
582,845,651,944,487,761,679,165,789,223,089,547,599,796,014,455,145,905,854,
275,629,952,366,679,219,035,657,413,053,675,320,225,916,332,660,427,218,917,
911,768,947,375,836,090,396,647,350,780,456,794,982,143,145,580,278,894,897,
696,062,615,573,820,767,461,164,990,822,922,339,782,254,857,018,761,819,383,
844,473,689,787,762,901,534,742,249,322,700,386,415,225,300,366,720,176,748,
957,371,703,710,146,578,022,949,268,875,750,477,990,079,410,435,844,093,830,
311,621,430,896,013,714,830,114,549,680,581,185,495,628,206,205,007,557,341,
230,246,622,436,012,280,118,071,029,215,699,922,826,952,319,550,189,514,516,
515,024,349,900,120,767,650,246,720,125,560,698,691,205,541,736,367,718,283,
267,141,717,326,154,564,150,874,245,973,946,934,381,867,081,839,119,564,667,
837,231,628,560,475,473,627,956,970,360,489,085,011,754,321,310,743,329,673,
819,186,676,765,635,060,812,456,338,884,888,824,691,784,749,228,165,399,168,
321,672,130,191,107,020,400,545,953,865,377,721,587,921,556,364,010,165,532,
882,163,786,061,947,621,601,114,325,369,264,502,408,500,294,352,777,291,771,
559,859,903,542,779,798,593,165,100,081,647,183,667,568,618,870,247,878,963,
571,013,883,503,564,535,327,812,539,426,894,539,365,177,281,755,083,346,359,
073,402,761,655,319,829,451,228,331,117,614,997,536,353,575,619,832,160,895,
149,907,744,759,678,776,127,685,032,997,472,266,834,869,109,436,146,623,219,
321,281,384,910,846,313,495,229,417,851,531,116,935,190,614,933,500,523,904,
761,938,306,656,073,939,776,928,654,914,180,203,347,375,067,838,781,072,352,
293,862,482,422,360,288,622,124,514,792,215,771,379,226,666,787,721,125,261,
118,696,041,551,246,134,168,737,525,246,544,328,494,194,206,511,444,383,074,
555,098,319,736,003,316,014,841,233,175,382,957,031,106,617,080,229,160,729,
026,989,773,826,185,956,500,421,698,522,140,779,770,991,803,191,354,022,217,
479,099,948,980,371,731,326,409,942,344,221,908,763,175,003,697,089,308,183,
966,465,788,236,961,332,605,152,643,120,303,620,939,753,047,115,622,767,848,
936,630,162,480,069,376,332,673,666,205,574,809,629,824,381,310,486,991,956,
642,684,318,192,840,280,278,623,129,120,730,507,849,902,694,858,683,698,380,
527,081,552,601,461,405,999,050,998,023,216,913,758,043,878,706,785,802,112,
545,649,721,664,430,724,235,077,167,767,124,232,381,931,540,317,458,199,016,
503,225,786,849,733,755,232,135,294,265,904,180,507,473,954,581,111,728,735,
848,173,423,505,225,558,823,291,109,562,488,955,375,022,809,261,339,060,786,
379,121,579,359,913,540,173,841,943,415,465,114,133,858,765,115,637,392,025,
833,291,347,386,390,632,658,274,356,027,588,173,148,341,069,870,162,559,577,
544,446,601,528,873,731,222,722,992,976,254,332,914,746,321,287,906,725,353,
716,591,977,884,853,662,595,950,788,470,524,260,577,207,892,498,127,091,549,
266,082,787,312,918,817,197,476,434,375,808,129,983,255,410,795,263,598,377,
153,494,949,277,118,383,950,971,297,653,692,157,806,456,496,047,159,749,457,
636,544,136,069,604,454,931,814,924,384,601,250,904,867,911,629,411,660,744,
781,527,825,353,660,586,081,318,444,341,728,641,744,650,480,325,406,656,728,
940,739,539,297,782,083,170,187,222,761,792,174,233,644,443,404,129,594,717,
284,997,043,206,828,650,014,575,476,367,654,649,137,261,046,711,230,540,093,
889,084,809,541,375,669,140,163,251,848,529,705,190,690,608,783,575,436,792,
130,692,477,563,096,830,803,393,523,843,025,554,198,810,713,296,328,859,900,
590,209,658,176,117,314,726,151,666,690,535,618,509,232,045,869,790,782,391,
545,664,123,000,627,144,465,168,075,095,614,739,370,751,604,836,343,313,069,
501,952,322,213,567,560,382,877,385,429,299,725,574,669,762,364,764,399,102,
898,266,487,109,486,633,165,993,452,818,708,911,658,838,378,251,506,267,807,
939,137,363,731,158,600,175,750,407,231,864,413,096,776,340,602,856,964,096,
583,733,885,494,466,113,009,373,166,984,712,283,380,981,833,163,438,994,288,
633,121,020,301,374,953,786,454,609,011,528,623,251,196,681,223,498,726,423,
966,831,424,802,203,921,782,595,826,069,178,304,470,305,221,350,120,779,697,
058,721,123,370,117,217,978,893,887,697,027,905,518,023,637,645,878,509,031,
989,019,177,260,159,950,947,354,172,864,391,796,401,608,712,546,232,225,655,
015,717,634,822,983,973,723,674,654,082,103,754,331,580,159,023,239,633,059,
298,778,093,955,923,859,811,175,012,365,702,191,184,507,098,369,421,884,060,
724,611,678,819,804,417,914,042,301,244,134,321,651,616,537,993,767,404,365,
218,370,640,649,487,064,431,696,479,067,004,243,015,705,599,839,701,807,145,
976,893,542,064,641,794,613,152,293,125,502,157,914,878,643,157,927,006,230,
710,712,509,895,043,587,448,044,475,644,851,857,576,738,139,591,025,949,601,
991,444,762,208,775,283,952,193,569,479,891,099,564,050,125,519,191,180,072,
482,291,475,590,265,535,802,754,242,140,605,276,317,356,259,060,258,085,010,
356,988,671,118,600,615,457,271,053,485,113,052,140,367,901,539,803,239,219,
733,568,093,095,127,667,041,252,678,242,562,287,212,708,995,430,813,348,177,
272,747,575,649,064,551,099,929,125,280,316,292,744,023,002,785,732,506,763,
482,989,990,925,123,332,477,683,779,339,240,608,248,105,189,503,518,398,077,
428,480,662,237,742,152,445,709,266,364,362,502,687,553,087,860,589,156,158,
702,300,628,597,124,605,197,845,100,865,327,245,377,373,944,524,077,894,212,
694,091,742,820,051,251,839,389,481,837,351,505,418,088,049,387,885,858,883,
949,809,943,466,256,046,594,612,714,705,590,899,694,411,798,765,018,214,321,
246,695,380,305,439,253,485,958,231,219,617,355,629,774,174,582,516,038,734,
956,429,649,553,413,977,163,708,990,851,635,801,974,364,677,753,304,495,294,
395,922,295,913,997,459,444,857,015,247,980,307,417,840,427,828,445,186,006,
688,674,366,975,893,731,635,439,663,735,393,227,020,286,073,142,156,712,652,
359,147,638,746,387,784,328,711,199,281,001,020,014,600,706,537,306,044,694,
555,035,798,796,430,821,333,129,880,548,509,109,438,526,295,215,505,336,244,
723,428,290,491,567,673,603,322,491,633,730,751,707,365,353,831,571,758,338,
573,752,095,221,877,724,352,840,115,619,186,000,587,647,291,388,927,271,001,
882,338,934,503,159,607,578,635,713,342,495,628,174,673,701,416,095,170,305,
953,944,353,957,696,060,894,779,840,373,653,557,848,842,895,425,417,346,461,
544,701,825,188,625,666,715,932,329,604,894,991,831,820,500,482,418,820,971,
478,922,902,878,425,802,799,355,289,473,723,775,859,592,345,464,404,131,829,
587,198,449,108,021,965,575,678,210,386,316,658,749,955,389,996,540,367,836,
573,770,528,596,964,102,791,667,506,594,393,851,633,503,804,499,325,733,216,
314,580,355,170,323,643,308,991,101,554,913,072,472,811,324,178,134,292,499,
750,785,154,517,551,743,453,707,759,020,840,554,401,801,607,404,362,174,574,
879,458,541,832,686,349,935,613,723,890,437,918,500,648,772,493,407,578,719,
970,019,629,716,581,964,156,906,326,229,082,538,217,981,110,212,288,323,401,
114,976,664,402,073,196,502,665,626,673,971,902,453,642,766,197,642,970,492,
647,775,696,223,485,476,600,256,587,149,682,376,896,567,561,040,119,471,746,
928,238,665,997,994,110,542,175,034,392,939,165,272,155,592,903,785,752,922,
502,926,095,187,800,338,978,417,333,838,058,988,027,649,584,449,786,549,002,
137,151,011,804,298,891,811,628,172,724,247,607,003,852,972,057,598,546,617,
443,231,359,263,940,187,125,899,146,963,154,287,031,116,602,846,017,631,242,
369,023,072,287,418,290,689,237,082,609,080,336,706,366,040,647,799,038,728,
173,775,486,936,131,583,177,569,891,544,790,810,863,684,197,896,326,452,866,
756,817,900,666,510,446,900,953,841,560,897,238,777,160,725,159,447,550,969,
316,486,176,865,579,452,725,865,736,638,022,892,134,741,278,984,257,113,144,
753,662,259,535,215,009,315,113,392,428,403,709,851,940,282,860,839,516,330,
210,642,115,505,479,410,634,805,991,302,083,444,615,862,794,900,799,697,464,
973,385,272,484,433,272,164,755,347,363,433,431,732,502,314,184,286,692,984,
834,015,523,912,829,257,652,697,124,039,438,883,981,542,564,912,192,404,508,
881,012,641,313,050,096,190,547,062,343,523,077,556,080,116,563,204,853,862,
299,280,889,859,369,344,783,269,601,394,988,250,508,757,931,130,138,901,423,
005,617,787,690,680,628,346,043,385,889,272,612,098,403,412,705,361,840,157,
319,863,302,241,473,742,819,925,337,726,285,903,164,473,536,021,798,075,120,
872,188,225,118,536,061,853,283,726,631,366,436,114,906,113,302,451,130,712,
096,022,942,368,031,645,724,293,949,160,637,310,353,473,846,148,639,839,676,
999,699,185,934,411,681,382,920,858,349,912,760,158,738,169,104,113,306,813,
828,932,892,170,749,891,518,666,701,129,932,948,697,207,127,713,714,437,542,
065,390,358,373,376,772,211,122,591,075,561,771,611,871,366,315,066,108,558,
496,145,886,129,567,294,062,953,424,618,695,947,890,620,220,643,836,922,905,
126,912,798,364,246,474,711,884,374,572,930,623,430,910,822,608,935,177,656,
681,027,029,773,316,394,823,137,591,873,540,588,479,727,608,521,322,764,893,
696,403,047,516,258,001,718,620,752,637,028,145,414,035,413,882,073,888,904,
336,164,757,867,554,199,908,511,024,727,655,127,270,299,750,615,957,646,613,
324,917,432,648,431,344,090,918,748,194,868,515,955,022,444,520,107,926,477,
938,129,333,081,061,071,400,444,471,830,651,925,126,540,182,991,157,691,237,
246,686,983,148,137,843,305,172,565,037,336,459,499,275,210,578,002,674,024,
228,011,584,942,770,490,120,635,192,142,406,531,891,212,225,948,676,198,574,
016,970,915,788,693,731,135,765,244,371,141,256,075,698,724,869,022,988,348,
859,476,007,669,425,161,443,690,272,535,120,143,589,234,067,161,684,672,648,
387,233,695,432,629,736,322,053,069,473,584,733,466,851,356,095,979,262,012,
112,786,395,810,380,466,618,586,653,081,634,584,604,179,060,749,559,310,782,
438,668,223,731,517,382,695,112,821,813,944,841,292,434,038,980,233,650,713,
006,964,479,750,925,308,161,653,962,039,810,365,327,311,899,426,035,580,688,
225,528,694,208,562,025,028,136,001,374,560,279,222,020,238,706,689,826,220,
220,058,691,361,853,360,154,255,134,449,460,496,501,114,000,883,275,733,207,
561,714,494,142,862,312,945,412,992,618,359,256,454,050,643,851,885,856,043,
897,403,730,209,455,970,158,631,803,063,081,725,674,925,799,892,464,567,789,
871,768,462,084,178,999,933,764,468,618,390,699,813,038,778,750,443,991,442,
139,009,684,610,152,430,163,188,703,280,915,800,508,117,001,800,478,768,449,
635,591,714,201,349,364,010,846,264,671,273,901,768,060,279,088,451,052,371,
823,826,686,637,709,299,892,929,957,799,603,379,096,895,857,085,893,867,724,
758,703,618,411,615,635,754,614,981,105,602,784,316,369,562,586,982,067,863,
552,979,385,436,623,154,805,920,524,287,299,651,487,925,939,383,768,089,194,
312,392,847,149,734,976,372,469,390,478,380,542,053,437,535,975,223,421,727,
057,585,453,363,136,657,158,472,444,560,674,720,051,981,309,192,514,974,022,
495,499,072,736,807,010,892,299,428,229,954,339,490,012,729,328,846,448,270,
926,163,585,318,402,050,939,160,903,497,598,209,135,267,575,584,439,182,478,
016,263,221,172,232,224,107,507,498,559,212,390,078,907,313,209,459,575,744,
013,298,295,008,713,714,666,795,408,357,400,965,078,927,690,985,462,704,278,
813,578,657,674,689,485,749,859,338,878,696,744,320,618,912,514,207,323,752,
918,077,165,610,952,469,669,556,657,273,922,010,953,059,568,309,923,319,555,
676,848,849,133,262,076,989,390,611,238,458,887,301,730,793,643,066,909,064,
724,281,034,173,028,298,438,473,529,242,301,031,558,823,591,703,648,477,003,
400,707,817,135,196,183,083,015,014,277,851,693,807,588,091,317,229,367,959,
477,478,470,913,328,211,351,656,444,826,938,601,819,731,413,097,869,279,904,
148,848,531,498,387,858,601,305,996,016,026,776,205,269,229,451,788,397,613,
224,106,770,988,572,285,127,211,003,636,696,900,707,430,574,257,483,703,339,
302,572,939,137,399,766,953,423,878,577,386,024,094,871,002,283,720,090,227,
908,726,509,943,375,570,343,930,404,945,200,132,534,838,411,793,113,802,054,
020,082,126,285,274,752,327,991,095,599,359,784,855,026,693,681,961,770,414,
701,368,986,468,324,884,761,556,762,466,230,449,382,130,765,755,195,738,973,
828,930,165,766,360,020,873,278,247,244,961,407,923,860,877,441,977,827,634,
656,800,090,903,356,083,599,339,129,616,771,981,300,357,819,313,846,121,548,
973,326,530,068,789,332,176,373,244,313,983,519,983,637,832,787,596,948,598,
681,227,984,597,547,804,758,706,541,294,626,018,314,824,055,347,396,087,259,
901,220,170,487,586,686,687,872,978,065,875,460,906,446,532,161,390,201,609,
311,059,848,736,309,939,213,375,505,533,642,962,130,429,163,756,746,556,021,
991,905,199,977,277,640,925,434,666,158,125,366,864,472,555,558,809,246,066,
437,500,263,543,447,315,324,826,281,640,452,780,918,262,467,094,919,323,644,
388,315,477,738,624,866,218,101,352,760,842,519,558,402,340,148,476,865,450,
199,886,535,264,141,439,651,333,615,061,295,971,884,125,279,474,824,017,635,
654,862,021,075,539,195,127,781,196,691,510,811,140,469,649,315,597,969,316,
231,257,979,920,591,153,758,713,953,603,251,910,637,977,333,915,138,817,031,
550,336,082,843,173,305,110,810,632,157,162,275,076,334,832,727,349,890,303,
034,696,204,645,188,767,691,146,940,016,383,151,229,083,340,184,909,283,829,
630,320,343,907,674,141,708,301,845,760,607,978,367,268,999,243,137,932,878,
114,811,909,931,752,198,090,089,685,442,110,707,204,982,510,661,079,965,547,
749,929,563,380,928,346,165,821,169,634,948,269,393,645,337,079,801,552,469,
477,103,092,209,859,100,576,838,906,560,633,367,728,594,599,579,586,157,223,
875,173,688,416,701,091,204,728,941,783,726,165,499,158,987,542,154,313,912,
876,041,583,066,491,551,138,759,384,455,126,117,419,836,443,913,947,919,907,
577,583,247,447,581,987,335,871,051,538,885,781,866,271,616,891,143,887,920,
548,178,780,961,577,511,711,863,828,592,202,987,816,414,004,017,885,469,835,
085,016,459,861,458,203,956,089,662,551,060,630,654,389,213,589,184,423,984,
176,505,534,654,592,437,611,629,721,345,253,697,625,565,253,251,396,437,292,
735,947,786,312,923,949,253,483,049,979,191,980,167,106,794,441,762,581,127,
892,238,389,759,665,401,664,634,562,912,046,358,120,167,974,986,059,760,231,
041,188,016,373,428,799,120,265,919,346,139,242,574,741,901,233,167,772,713,
942,902,951,770,791,799,153,632,927,331,739,971,320,407,594,580,999,561,973,
684,147,994,884,178,499,509,848,704,964,496,118,122,108,700,069,739,123,488,
008,859,709,799,164,457,269,394,356,217,431,639,084,519,944,738,401,779,801,
647,338,417,894,727,555,031,219,226,748,191,452,540,800,898,496,524,375,629,
486,351,348,939,161,985,295,895,305,197,465,537,808,003,796,698,865,865,110,
757,611,633,916,502,030,722,724,878,074,160,979,129,927,329,565,221,969,461,
126,097,129,936,705,477,898,964,285,267,600,417,070,600,919,939,333,675,314,
958,208,460,122,300,152,948,058,580,535,573,646,633,725,484,600,101,048,478,
293,227,120,774,356,580,826,830,550,861,114,430,112,098,963,557,596,966,502,
786,543,331,098,259,966,434,800,341,894,476,232,227,164,132,011,449,273,143,
176,961,910,487,313,152,018,018,844,616,411,624,572,582,667,339,406,798,129,
774,763,642,348,475,720,459,627,629,205,729,229,204,139,723,715,408,809,144,
149,320,053,278,086,558,009,609,455,810,201,347,672,410,855,787,743,601,434,
408,256,307,456,009,168,254,120,967,565,694,683,524,344,896,690,949,819,244,
497,956,029,413,434,238,717,876,199,069,508,857,371,343,717,271,656,283,120,
332,953,812,795,694,552,734,634,383,563,559,371,715,156,816,906,114,094,265,
105,212,109,538,896,867,986,197,566,620,146,025,359,588,982,443,365,360,503,
493,087,486,842,272,326,051,854,437,853,431,884,793,428,983,223,560,058,676,
465,474,022,153,563,704,150,453,376,494,384,201,900,865,922,459,053,896,882,
081,012,612,905,407,478,961,198,196,754,988,687,214,572,370,742,522,585,165,
525,840,787,317,119,783,244,501,001,997,802,366,675,091,557,776,426,995,575,
174,706,084,658,202,367,725,646,368,939,721,676,440,935,244,151,550,841,771,
812,622,039,385,873,685,689,181,681,039,036,363,230,685,321,472,668,645,699,
792,177,028,041,682,646,719,137,205,106,013,446,120,398,394,546,750,404,012,
958,895,649,377,824,444,053,717,274,756,737,502,888,899,192,309,437,152,565,
169,177,176,704,491,350,466,777,234,685,867,422,900,278,744,213,955,923,656,
387,565,276,619,754,061,968,225,977,975,058,614,589,852,104,171,245,524,396,
661,418,521,117,934,238,602,621,274,977,549,434,935,560,461,113,245,765,042,
859,453,411,431,310,189,145,888,932,167,831,523,764,850,237,333,321,554,087,
753,627,327,254,446,415,700,775,113,824,737,851,598,454,059,760,077,299,423,
983,058,867,611,455,195,493,657,958,466,269,428,724,153,997,703,258,829,371,
329,299,509,909,477,699,705,226,613,075,865,194,030,981,631,081,479,835,581,
798,348,956,847,548,280,712,419,386,358,491,275,944,851,019,493,001,557,539,
503,496,589,921,923,778,596,275,492,691,256,408,084,144,136,018,702,727,260,
415,448,082,938,655,900,190,496,427,096,395,401,551,229,332,124,144,102,739,
836,188,805,873,775,387,901,177,931,657,816,518,624,262,197,823,087,433,205,
880,392,261,443,160,355,698,231,744,388,220,076,519,037,456,376,632,637,343,
862,369,145,476,783,353,473,971,958,713,389,713,561,332,913,542,871,632,938,
608,738,020,365,371,453,137,320,203,554,687,839,109,757,266,974,356,577,440,
373,903,638,415,927,446,581,777,338,235,992,872,986,218,472,681,576,742,897,
448,523,754,425,197,817,112,377,979,004,964,564,633,064,438,121,556,438,612,
554,199,978,192,677,791,631,819,316,385,794,254,363,796,877,038,628,159,293,
740,515,004,572,216,558,195,676,170,385,328,949,033,724,814,666,034,648,946,
848,526,453,307,833,903,666,167,188,835,147,913,248,957,286,440,205,534,429,
911,874,408,323,455,471,084,380,963,474,038,644,314,139,118,831,158,585,416,
289,984,093,495,365,487,449,171,026,792,406,365,028,162,754,463,651,635,235,
064,380,636,616,138,196,183,563,939,726,380,137,233,254,480,084,005,769,645,
561,621,524,546,406,477,640,580,047,848,617,154,298,763,785,655,841,095,979,
743,103,924,437,863,090,291,941,732,925,672,902,427,179,570,682,696,147,619,
776,026,322,640,808,308,004,402,992,180,529,770,786,757,646,677,685,130,991,
054,992,973,346,830,331,927,458,340,427,178,049,038,979,147,231,374,821,074,
216,549,478,814,450,411,112,264,393,382,235,500,013,349,545,718,319,888,417,
824,619,880,669,970,053,015,034,919,236,717,335,699,109,436,208,582,907,250,
761,735,149,281,138,382,859,343,513,144,585,872,335,149,254,561,652,921,780,
946,369,608,874,981,217,122,259,288,366,507,017,979,698,393,302,126,745,475,
697,150,541,579,239,836,486,277,194,624,796,053,845,451,257,580,581,346,247,
913,124,540,823,990,609,478,505,982,506,856,856,748,410,499,900,584,571,567,
228,966,884,615,458,822,985,779,693,528,856,460,309,525,883,430,375,783,816,
575,353,685,037,657,988,758,180,018,164,083,526,262,271,537,207,726,919,300,
808,797,742,322,053,703,522,224,432,215,539,042,376,864,193,941,964,946,891,
330,791,738,253,073,581,903,795,826,346,338,273,401,358,880,541,954,580,685,
631,751,610,120,013,495,224,970,494,181,175,718,085,724,135,047,352,353,289,
212,706,837,452,731,959,646,903,056,798,278,500,054,421,466,042,744,516,244,
764,240,015,669,627,888,623,992,831,910,205,620,061,234,101,809,700,260,198,
907,136,963,041,614,313,147,704,881,059,648,251,139,450,992,719,033,917,315,
317,232,268,889,123,965,371,972,888,422,245,213,217,029,157,501,789,869,244,
858,913,558,526,565,395,347,308,229,209,842,740,547,105,034,075,788,184,151,
856,630,799,388,033,667,139,797,124,419,588,576,915,831,583,108,993,588,484,
231,089,258,562,647,125,091,180,837,138,409,017,627,990,395,425,846,917,481,
823,247,616,083,702,480,021,234,782,478,033,368,302,662,770,317,324,255,148,
842,247,005,669,657,737,369,627,770,748,541,979,702,096,642,343,292,337,956,
073,416,424,886,035,534,777,195,338,089,277,981,507,049,337,803,800,836,766,
689,862,749,191,750,158,985,320,371,556,014,368,943,812,722,872,367,584,032,
888,276,713,543,331,437,744,426,620,349,329,977,837,388,730,108,574,548,219,
949,260,432,892,154,519,433,331,897,803,567,575,843,499,634,295,530,466,953,
830,244,043,540,561,197,766,495,695,677,288,208,295,025,562,495,329,475,289,
314,807,621,237,545,370,900,996,875,458,213,798,804,204,674,684,682,962,832,
282,881,052,269,175,629,898,965,722,028,487,172,500,051,845,598,475,861,800,
142,689,920,689,172,343,472,362,405,818,252,767,174,411,831,820,346,901,022,
430,191,263,615,626,678,772,797,845,527,710,617,849,450,447,457,635,427,766,
990,942,411,128,154,636,483,530,168,356,348,271,039,384,940,019,802,994,409,
976,869,808,985,161,687,735,789,330,652,337,571,270,731,349,072,793,578,630,
663,368,975,707,808,830,550,964,865,744,934,647,055,682,718,925,003,424,506,
317,163,923,229,596,952,245,577,459,487,284,095,050,707,987,602,329,197,406,
363,483,002,274,808,468,146,821,033,942,006,782,935,934,511,161,595,482,733,
462,904,255,860,307,543,958,317,600,101,605,152,639,141,362,305,924,732,445,
663,274,714,235,725,350,324,476,367,221,308,565,705,860,955,746,558,651,995,
727,807,499,451,113,125,652,865,666,904,739,197,908,367,346,834,493,077,274,
083,335,674,432,106,134,978,677,904,994,591,817,679,132,910,458,213,419,466,
666,392,678,176,646,594,982,921,232,160,774,399,730,954,266,689,981,337,984,
746,542,377,179,188,008,038,401,109,925,802,535,493,003,550,383,943,248,537,
438,866,806,924,978,761,060,446,663,190,290,194,496,951,037,144,074,850,725,
442,670,842,000,638,473,667,256,137,114,661,295,141,891,379,517,732,999,865,
042,115,415,679,001,740,147,382,802,921,606,667,709,145,361,658,082,141,443,
050,906,089,505,912,463,268,812,069,616,145,104,158,778,406,193,559,953,672,
968,251,152,388,630,513,873,054,074,562,030,888,314,322,090,169,173,169,345,
030,561,245,990,713,038,285,979,256,095,533,366,775,353,262,344,655,106,381,
204,452,381,759,186,747,594,360,645,062,596,486,316,230,344,444,361,770,092,
292,608,937,109,319,091,548,329,444,951,246,702,618,475,066,406,369,256,912,
125,352,919,052,260,548,897,147,869,406,553,536,596,587,497,613,785,743,239,
043,800,595,247,336,171,499,362,301,141,233,583,195,085,681,206,073,187,845,
991,699,094,765,152,088,603,880,873,581,300,003,196,126,120,518,528,300,305,
464,810,742,892,683,445,730,862,607,756,685,585,113,868,422,490,077,486,425,
252,921,680,161,875,127,403,991,907,924,337,791,824,734,187,719,920,290,731,
555,930,472,056,832,435,804,185,115,770,575,492,625,402,669,763,966,874,832,
112,001,497,285,169,305,539,516,572,469,062,777,557,242,683,855,644,216,426,
075,874,158,151,526,414,629,063,696,081,474,888,351,841,204,649,117,717,517,
346,142,783,092,425,779,895,923,491,268,343,827,812,839,190,439,420,825,656,
165,686,920,478,390,938,237,967,110,170,421,384,156,945,519,944,455,069,956,
004,614,934,033,378,352,165,996,094,335,456,338,376,472,556,227,146,517,003,
935,697,118,596,772,079,717,929,136,472,065,864,492,317,250,976,156,052,128,
442,472,322,744,854,060,749,607,776,791,774,075,151,882,188,807,535,416,271,
487,293,513,402,713,933,141,358,022,167,125,190,230,840,294,867,886,299,125,
894,763,134,660,239,988,566,231,859,418,053,451,760,913,071,645,677,978,852,
209,247,352,421,706,730,028,354,749,351,834,740,626,306,127,693,564,260,598,
072,716,475,834,805,827,815,246,593,160,412,164,106,273,662,714,508,226,652,
619,280,585,015,974,093,503,130,727,826,373,819,168,643,353,699,135,471,553,
280,216,183,657,718,512,531,735,668,863,357,495,659,864,922,454,737,800,980,
250,142,297,436,857,057,185,581,690,488,524,389,360,749,096,896,928,201,586,
419,971,573,512,779,048,741,949,699,440,241,677,595,205,841,756,940,125,099,
557,958,047,042,494,325,779,712,814,533,511,750,669,242,985,195,438,189,435,
968,538,187,770,219,865,633,551,253,831,303,023,257,973,929,603,434,957,157,
415,432,080,274,989,187,694,889,210,497,935,402,453,864,801,552,731,218,172,
940,684,116,451,215,767,172,019,185,472,472,072,946,444,432,228,135,960,560,
201,800,080,457,355,454,750,703,299,892,859,812,250,961,201,786,102,052,141,
363,775,569,990,918,334,305,831,429,961,517,067,502,515,917,482,368,818,774,
724,028,637,496,395,761,016,948,750,745,173,517,406,342,519,391,798,239,041,
813,401,591,065,690,545,160,558,798,636,012,779,107,034,174,528,456,007,159,
284,424,048,517,673,546,729,366,817,522,148,303,965,346,662,752,629,168,241,
752,885,574,614,738,581,382,683,052,622,366,772,642,048,555,586,563,579,163,
100,477,519,113,918,211,419,361,508,034,314,621,119,973,767,131,486,825,310,
636,769,470,725,766,225,002,312,179,586,921,999,928,387,532,232,585,742,071,
557,748,972,824,858,032,242,531,804,746,044,534,792,899,317,676,772,531,364,
535,756,208,106,457,084,075,722,123,009,836,743,428,949,229,615,446,068,472,
287,559,375,381,912,346,144,961,786,982,930,670,796,529,371,888,317,548,132,
814,580,189,061,368,487,714,428,201,403,836,512,948,318,360,737,081,241,798,
612,215,962,881,827,310,540,407,803,088,188,164,641,795,279,916,718,082,192,
448,892,872,882,013,910,501,280,070,722,861,808,074,498,358,928,176,852,222,
886,454,172,264,886,633,747,617,677,490,094,453,403,516,764,930,979,637,923,
636,591,961,929,852,730,056,696,979,625,356,007,846,331,387,071,406,604,134,
000,036,538,259,842,519,115,490,310,225,737,302,955,424,720,135,462,274,166,
198,050,697,510,207,985,471,346,979,956,381,461,585,130,434,293,233,390,809,
833,036,538,938,802,188,026,573,732,577,390,907,089,335,039,557,759,741,426,
464,986,837,466,973,630,884,557,573,340,539,183,997,887,285,458,574,777,792,
909,885,116,253,329,832,818,800,229,308,718,201,122,849,657,577,177,601,971,
449,823,800,213,598,514,940,125,399,838,646,616,585,358,229,623,555,462,867,
077,530,499,696,354,354,142,523,239,109,506,082,914,897,665,821,496,016,520,
160,529,880,618,192,393,679,858,235,534,702,489,068,844,781,124,270,866,623,
061,049,312,372,612,803,273,497,761,999,796,604,764,466,724,104,903,507,490,
485,574,101,433,967,302,559,556,216,586,868,269,497,153,152,620,801,328,096,
258,674,244,694,545,249,905,913,795,085,586,882,545,112,967,037,618,178,707,
692,751,429,101,587,392,709,819,682,655,138,478,287,945,550,737,818,554,239,
458,092,259,660,579,041,043,503,061,778,008,308,122,858,730,690,368,669,418,
407,522,772,957,902,151,639,923,043,501,846,507,246,662,287,752,875,549,261,
435,848,595,097,697,478,879,518,976,115,659,757,288,564,941,137,731,616,523,
533,865,596,380,293,823,062,016,164,262,438,103,597,780,000,553,974,025,733,
212,501,663,439,597,970,828,643,118,852,690,677,211,287,683,780,884,264,531,
242,049,588,019,620,272,478,221,706,742,296,641,374,238,546,108,717,094,195,
445,712,044,549,465,427,206,770,118,869,352,185,902,166,031,359,357,366,649,
136,101,423,902,251,396,980,248,297,392,226,604,062,453,737,383,951,432,370,
172,168,003,164,589,770,008,274,215,486,527,566,811,390,796,453,540,646,737,
891,985,091,324,508,321,748,963,654,454,595,147,219,728,291,409,704,594,696,
513,335,805,557,942,720,918,365,718,947,591,509,508,869,566,091,796,572,072,
220,645,867,108,634,437,946,200,294,917,489,168,135,351,081,215,606,778,987,
233,923,358,249,529,875,564,566,328,471,136,835,766,514,542,309,481,365,410,
064,909,804,546,841,669,634,849,349,971,370,697,428,858,977,706,440,588,512,
662,508,198,948,044,104,251,585,749,384,832,471,129,797,653,031,371,741,794,
768,617,824,659,898,219,481,016,843,857,510,003,458,788,511,055,274,334,702,
270,554,412,930,523,893,669,175,811,283,083,646,972,256,804,763,622,106,187,
509,478,457,093,688,729,863,957,461,203,091,281,721,536,367,616,026,919,146,
832,137,083,986,917,704,021,493,749,546,875,610,857,031,424,940,080,389,354,
910,679,083,525,338,383,891,028,466,087,423,298,095,513,595,016,805,768,330,
846,386,168,884,153,063,253,285,554,238,163,977,790,601,555,983,053,886,351,
580,707,018,232,507,695,260,574,033,043,255,723,123,044,313,273,946,253,808,
333,497,080,891,957,434,380,011,009,354,138,828,117,625,135,243,332,858,844,
512,005,425,595,685,724,927,831,895,760,019,082,278,445,641,671,912,457,185,
402,875,216,247,092,261,087,642,817,925,787,080,123,232,148,568,199,021,761,
882,560,487,187,880,274,590,440,066,673,486,952,152,576,199,401,168,333,533,
789,398,742,587,232,248,743,509,258,170,244,814,982,227,663,852,203,817,111,
116,107,139,743,952,477,989,061,784,175,978,248,980,081,520,134,604,130,206,
104,955,767,048,977,704,139,481,629,498,133,143,898,754,450,735,010,570,279,
692,319,414,858,301,540,901,360,572,709,602,749,636,999,866,570,958,419,173,
633,988,358,442,775,670,717,812,530,793,708,736,576,035,519,021,648,178,436,
167,104,177,199,485,245,064,929,980,230,870,884,770,224,316,061,063,295,307,
141,600,957,807,838,952,277,956,748,113,291,947,752,955,301,701,722,028,810,
251,276,707,088,520,848,214,964,081,849,040,930,334,352,983,240,865,693,793,
932,789,601,624,978,581,514,967,937,054,596,817,037,966,267,182,427,566,136,
685,217,240,292,796,753,568,152,987,945,369,664,506,930,289,157,755,619,117,
241,050,003,613,592,320,331,063,977,220,485,845,854,718,902,983,413,056,486,
593,922,010,609,382,098,583,325,544,532,170,278,561,569,602,815,036,749,601,
149,504,992,277,309,063,585,479,067,585,492,581,506,119,039,727,861,140,326,
367,654,172,022,780,346,657,693,061,042,509,032,851,408,688,806,775,071,424,
662,167,064,346,083,477,469,275,042,835,779,835,524,105,993,209,375,145,585,
885,655,463,508,567,786,660,880,447,295,160,976,280,139,394,516,634,633,291,
279,217,301,738,566,743,042,781,046,624,248,460,103,766,967,129,793,385,015,
963,526,577,992,913,282,659,678,471,881,619,867,256,833,514,503,403,006,499,
520,860,146,623,613,826,367,598,644,723,531,889,746,644,813,858,908,013,739,
624,071,006,154,096,458,911,404,379,142,173,195,540,210,560,689,691,756,353,
572,096,900,713,597,809,185,249,802,310,807,753,133,504,351,931,323,245,579,
461,540,850,908,248,888,600,599,905,839,096,329,327,996,516,066,497,547,847,
873,330,688,567,509,195,340,777,852,608,024,435,933,753,777,122,153,436,349,
506,185,483,095,072,395,577,674,552,062,534,081,455,065,208,930,279,968,095,
457,829,022,279,298,952,023,990,765,033,356,095,004,689,515,161,946,666,091,
732,046,992,916,559,508,192,372,531,311,050,699,301,630,117,129,097,686,090,
137,454,640,662,712,101,258,198,165,186,623,871,876,841,234,167,578,257,118,
253,676,705,765,143,317,536,651,038,164,308,088,741,550,740,760,462,186,572,
464,678,094,739,025,873,314,706,261,244,782,732,904,895,301,563,637,286,318,
418,173,467,172,847,875,562,437,232,151,051,822,869,164,803,718,757,329,642,
170,670,057,392,878,152,035,838,185,220,621,199,293,042,281,805,261,237,251,
493,016,851,222,082,850,452,552,458,558,722,752,464,274,491,746,201,780,015,
149,378,252,380,010,098,335,760,094,218,642,550,332,288,112,146,539,978,812,
661,421,988,164,207,532,184,399,427,534,116,335,037,859,875,059,443,773,343,
994,815,177,056,777,141,620,593,545,435,288,366,305,660,999,013,931,131,059,
605,536,133,383,768,005,200,363,187,336,357,084,650,030,781,939,219,897,920,
339,849,924,146,827,940,644,926,742,248,467,551,191,287,504,393,695,852,549,
462,136,375,132,662,343,444,080,649,568,562,953,187,893,250,237,991,218,615,
617,185,777,110,981,871,469,495,277,336,091,354,934,919,763,577,854,561,181,
329,000,974,170,271,291,386,407,109,740,187,989,816,970,834,088,127,426,210,
428,906,311,302,578,127,399,696,949,202,279,454,802,673,640,907,051,538,038,
416,935,374,481,176,391,588,944,994,212,356,652,781,917,079,827,734,808,409,
745,330,690,830,810,449,699,708,016,575,061,767,267,613,233,499,479,980,180,
109,542,265,719,467,098,271,985,754,803,769,416,190,994,557,013,394,495,479,
107,424,700,227,051,098,793,001,011,671,380,976,955,105,832,136,260,094,699,
138,611,355,825,995,859,762,704,717,748,619,087,970,092,753,728,880,277,192,
361,246,476,064,474,374,881,750,305,834,197,734,576,591,117,670,746,096,325,
485,659,351,846,001,429,789,780,207,351,556,077,547,007,179,167,555,499,788,
524,700,583,259,084,486,938,769,243,832,184,495,766,812,233,790,154,644,003,
073,213,981,261,913,148,697,282,586,101,200,096,594,825,038,245,653,276,008,
098,590,403,854,760,815,802,362,581,922,461,619,567,155,236,597,187,377,283,
341,655,691,519,471,261,778,892,712,829,244,629,729,649,963,806,022,322,157,
638,721,809,526,416,346,737,141,829,014,179,362,665,922,954,216,166,725,997,
255,169,051,022,368,103,165,182,283,633,979,817,241,695,370,365,355,658,660,
754,447,521,099,471,182,789,190,965,844,757,619,310,359,692,729,353,894,287,
006,010,606,917,891,966,573,276,894,754,269,191,035,541,898,770,822,342,601,
577,922,000,260,222,197,223,300,522,006,581,710,377,792,754,493,615,446,789,
057,666,406,218,986,985,498,662,481,128,189,882,243,511,124,470,008,494,685,
370,890,406,809,445,685,038,843,494,136,680,186,262,033,151,032,248,434,551,
331,952,486,235,775,228,019,344,603,776,417,083,059,213,598,193,450,307,630,
299,239,984,124,287,937,449,748,567,187,274,735,757,909,924,064,034,861,093,
702,888,237,734,257,043,935,856,810,331,524,579,325,421,722,031,322,272,567,
271,327,395,212,223,179,732,888,327,356,700,599,514,683,353,204,285,178,781,
928,144,769,816,809,134,988,644,425,317,576,258,597,675,946,301,161,514,154,
473,669,659,994,083,336,673,966,704,301,320,516,090,909,201,273,381,789,751,
414,850,428,651,439,549,332,828,176,117,609,669,648,066,134,732,624,485,009,
713,780,230,715,049,653,792,634,374,032,051,306,557,218,296,854,116,945,202,
930,703,470,494,508,388,942,253,951,821,637,528,859,739,785,589,465,300,760,
189,073,702,033,954,795,343,147,039,556,134,937,594,167,592,106,228,890,438,
363,523,406,639,969,738,532,155,687,654,283,678,669,501,169,713,173,588,500,
788,078,659,191,456,443,062,600,823,641,879,400,503,005,859,576,398,072,801,
312,415,331,664,617,307,013,188,410,497,207,430,575,219,696,099,557,176,156,
664,657,586,312,652,405,353,676,389,078,279,299,885,909,264,791,890,677,184,
316,728,436,437,399,243,807,119,422,537,237,496,751,668,134,530,204,334,291,
652,496,414,351,485,832,169,724,382,990,847,039,947,709,602,859,152,660,480,
092,514,172,577,478,174,918,412,028,771,935,033,708,447,108,135,683,721,738,
738,781,385,662,246,662,973,472,483,058,587,463,053,770,550,267,646,785,008,
406,198,774,588,053,594,570,688,162,798,984,591,019,717,023,914,755,402,176,
201,071,009,100,271,324,940,182,510,693,444,653,993,138,221,185,714,441,833,
856,149,381,451,317,730,565,369,884,106,731,158,515,831,508,881,666,955,884,
080,517,926,730,823,257,860,953,348,302,907,684,074,014,330,476,135,483,603,
167,881,082,805,886,073,864,532,283,581,653,412,230,280,295,269,281,099,379,
225,628,612,900,617,635,996,690,196,247,150,281,834,573,840,932,541,371,089,
317,666,141,914,706,402,777,866,860,546,132,718,823,411,102,729,817,392,110,
784,612,476,537,287,861,952,030,853,791,611,699,997,480,564,186,757,242,627,
712,472,269,104,628,400,823,031,909,698,685,282,518,863,829,767,318,218,430,
545,854,185,297,600,852,301,825,911,800,122,915,336,648,043,455,544,698,101,
411,113,495,670,210,340,279,872,349,030,255,484,696,747,296,821,946,325,133,
352,698,205,237,183,567,606,282,565,862,762,129,894,962,842,266,847,153,566,
228,657,041,187,165,719,387,424,179,138,601,525,539,144,942,519,907,219,907,
428,168,237,877,586,151,779,180,082,875,719,580,290,604,690,334,895,059,364,
571,998,845,109,853,055,398,390,190,713,052,277,468,489,688,708,769,760,167,
891,959,015,656,113,312,580,831,966,749,743,545,888,965,060,667,137,929,789,
965,172,713,249,165,619,052,327,372,214,304,738,142,361,209,444,667,604,656,
958,146,320,823,629,402,610,217,415,941,240,802,469,660,834,098,337,552,470,
538,740,647,965,821,784,008,447,524,993,987,838,709,713,473,222,965,769,084,
138,339,860,221,507,394,570,754,475,097,055,561,410,881,278,590,243,974,835,
253,399,662,861,565,748,488,811,073,629,637,084,663,011,876,738,824,407,905,
494,268,340,692,716,668,980,847,438,058,104,309,128,146,673,532,230,274,209,
773,303,401,334,908,223,698,778,835,045,161,043,055,143,180,724,624,250,342,
196,545,721,603,195,124,836,831,551,420,471,330,196,888,703,599,524,884,717,
584,711,338,234,229,185,538,252,910,691,640,546,557,691,315,574,619,023,971,
141,414,889,343,126,955,174,368,768,964,831,701,715,144,904,344,605,428,702,
540,274,545,684,729,801,986,038,446,124,200,273,762,620,606,802,569,301,124,
260,038,987,448,384,108,750,856,058,551,025,181,442,825,623,930,332,640,795,
349,091,924,589,794,713,535,128,926,785,321,596,847,495,875,284,904,511,907,
665,050,039,529,179,516,072,809,222,745,095,363,959,917,083,523,113,980,746,
887,822,057,705,713,792,455,643,696,498,978,064,356,849,981,422,784,729,211,
142,484,150,040,170,905,647,441,340,685,894,158,529,105,937,491,963,211,616,
191,857,724,126,109,972,400,072,078,298,242,522,762,880,251,992,035,248,589,
038,134,120,710,516,073,012,497,758,694,331,906,663,954,742,276,860,027,585,
981,826,924,786,082,906,865,205,038,049,444,485,672,678,500,754,997,826,506,
559,583,923,234,296,392,921,185,060,032,741,440,970,755,369,123,290,721,923,
839,786,417,129,932,055,180,173,093,108,190,221,858,121,249,271,932,107,424,
678,997,403,642,685,039,151,220,646,507,081,953,420,524,065,076,498,442,364,
785,671,508,883,337,892,340,022,085,540,199,676,712,318,383,097,037,035,213,
963,675,746,298,873,488,366,796,842,550,485,939,152,329,302,696,693,395,886,
860,704,881,784,467,152,646,991,644,743,670,364,996,807,634,649,550,364,945,
355,234,962,639,217,063,688,545,789,776,135,038,474,983,586,836,021,474,057,
809,235,141,576,969,795,995,956,278,045,704,255,900,395,035,179,876,682,691,
032,960,353,225,436,525,338,170,741,496,411,516,877,109,709,189,376,206,944,
200,908,662,144,202,650,220,390,205,315,670,829,497,328,945,188,459,874,803,
613,252,316,192,815,812,434,979,721,354,083,312,210,928,444,569,645,120,982,
064,709,569,558,857,370,317,152,278,408,097,690,977,830,449,229,062,482,714,
104,482,407,870,642,323,083,401,267,139,856,154,440,285,991,248,610,196,448,
872,622,282,971,804,251,101,784,498,044,579,980,062,750,509,219,730,549,506,
513,319,431,268,398,952,254,286,792,992,910,184,053,417,198,357,517,245,828,
402,720,639,366,491,135,235,417,062,728,034,506,610,912,681,071,980,499,515,
224,834,870,597,052,326,452,067,847,541,111,680,308,603,370,365,151,910,779,
487,678,081,325,998,165,246,046,127,446,163,869,006,849,562,361,351,131,766,
030,094,231,314,039,555,275,651,648,620,999,495,883,089,916,898,356,260,194,
344,306,822,863,921,679,186,306,455,591,997,968,705,343,256,297,103,171,783,
943,028,189,394,305,924,055,481,760,498,663,332,049,377,795,693,904,501,157,
205,583,675,598,362,480,975,140,957,954,301,905,033,191,004,033,547,976,705,
075,767,375,989,399,971,642,351,032,528,317,948,139,552,838,988,921,791,243,
772,495,258,920,620,196,417,009,598,294,036,866,810,631,450,655,334,949,930,
124,715,813,718,400,456,517,922,270,958,532,932,499,819,613,914,527,007,399,
049,553,035,936,013,243,199,897,021,434,228,395,966,998,651,931,364,435,610,
049,435,195,104,017,356,510,549,588,485,138,804,434,519,799,910,607,115,687,
384,788,584,542,772,252,409,059,019,608,263,275,313,211,908,819,199,306,139,
280,544,226,969,741,158,546,741,087,056,442,042,492,994,370,922,797,302,542,
502,690,953,609,057,080,999,002,375,933,847,973,640,408,562,107,569,392,989,
254,264,558,809,497,207,237,376,537,218,637,703,345,943,568,153,148,213,066,
128,849,353,372,269,006,787,235,194,046,637,445,411,012,559,999,701,520,578,
099,176,200,750,444,028,538,941,297,228,168,668,111,685,934,905,677,578,169,
123,720,669,593,697,129,483,987,602,933,833,249,598,858,287,847,704,304,776,
654,996,277,150,093,596,255,265,100,234,845,233,132,877,973,621,336,413,944,
061,758,514,795,061,340,120,068,753,878,940,815,743,283,917,114,073,309,635,
904,310,139,675,482,095,000,852,961,308,235,804,968,080,298,328,006,504,621,
138,733,812,256,128,462,129,920,617,083,058,570,504,037,582,902,769,799,154,
667,221,534,972,726,694,952,981,619,003,431,974,314,194,025,079,626,248,028,
552,606,880,134,741,987,821,098,284,935,845,420,342,942,420,485,961,726,386,
260,534,656,837,239,151,191,056,427,156,404,644,954,252,901,161,486,605,054,
719,963,404,650,308,966,736,739,648,738,514,086,295,930,539,507,120,754,429,
781,578,309,567,626,287,186,009,177,619,039,800,358,318,104,310,271,416,196,
575,115,537,300,165,028,289,686,315,884,716,206,633,400,250,509,223,266,214,
069,295,949,804,210,580,292,099,431,445,830,103,685,617,890,779,405,570,155,
581,169,507,979,609,609,826,420,252,000,060,532,287,935,653,354,403,773,854,
568,398,777,547,061,433,897,489,301,476,109,091,733,934,027,736,229,754,762,
562,685,066,039,608,627,806,325,630,665,311,372,701,440,326,681,093,732,024,
486,416,008,853,454,226,114,202,887,251,129,410,159,770,597,238,674,692,899,
604,244,654,346,408,482,423,196,370,548,744,900,126,759,274,192,304,756,696,
448,291,772,711,151,052,141,966,617,792,291,402,219,733,100,988,767,149,471,
158,642,088,185,256,208,509,493,894,643,705,585,472,778,129,269,803,921,753,
200,705,059,914,211,189,239,819,485,362,078,191,786,555,427,205,905,945,773,
992,485,107,471,444,575,419,218,935,555,468,771,583,480,343,526,701,433,851,
740,501,668,696,723,064,100,261,685,184,724,544,782,176,494,319,959,481,803,
442,129,260,322,679,260,864,934,640,116,118,657,761,902,062,508,793,838,323,
128,647,329,909,792,209,735,071,610,108,654,236,498,914,396,895,745,519,941,
608,035,141,326,794,569,591,940,860,339,442,099,253,598,268,197,427,417,642,
107,681,387,152,710,446,993,931,160,410,241,734,462,720,899,229,678,209,522,
606,554,741,554,310,939,533,885,295,138,397,868,808,952,597,049,155,215,784,
876,819,255,003,973,171,316,139,570,055,783,202,224,142,561,792,212,858,624,
258,609,698,378,859,963,060,760,759,430,995,781,445,047,269,397,918,394,371,
336,804,452,145,139,235,714,781,775,583,233,841,651,799,618,446,603,348,137,
491,288,247,082,956,504,985,279,237,612,579,717,732,016,195,355,457,787,557,
382,404,097,854,101,315,455,338,014,572,039,207,626,529,811,631,914,168,595,
659,761,275,750,208,982,311,671,480,449,986,501,685,242,566,127,860,881,000,
906,689,902,174,232,911,585,959,683,208,884,523,137,544,916,860,156,253,884,
234,023,504,780,558,148,989,349,307,915,476,631,154,027,286,338,502,539,076,
211,737,535,321,870,596,095,411,581,739,458,870,438,397,161,383,387,593,564,
600,975,434,104,090,122,478,819,988,061,201,085,463,893,916,665,978,358,491,
858,499,415,283,759,219,516,960,901,119,886,689,091,362,197,157,850,732,542,
948,941,945,302,174,570,103,256,117,669,438,912,795,632,164,674,650,600,918,
972,205,774,242,417,315,324,255,630,851,056,737,848,151,277,851,023,811,998,
066,263,429,775,340,691,679,956,754,359,729,779,428,369,263,049,225,039,877,
326,281,311,929,587,585,740,200,946,972,507,599,417,476,051,755,621,810,905,
497,740,225,060,489,211,166,140,933,799,627,331,856,270,061,838,341,980,576,
611,251,788,038,920,182,628,713,381,269,093,200,843,669,016,363,595,045,794,
469,349,238,983,251,314,354,740,428,750,507,487,654,798,671,432,821,378,536,
709,196,247,971,687,140,146,837,394,905,066,264,138,026,035,502,758,213,704,
542,546,462,944,317,176,598,205,316,737,648,513,058,218,749,558,149,675,052,
011,995,969,865,719,493,208,024,737,171,651,310,605,442,805,640,976,256,185,
242,524,828,924,791,634,209,112,448,329,438,745,963,730,285,012,165,616,356,
810,209,501,666,866,456,316,972,381,618,761,217,516,558,890,966,070,348,937,
887,334,754,638,699,023,778,183,800,570,539,017,075,344,178,293,363,479,434,
659,419,224,170,034,558,406,767,080,224,867,960,474,295,023,534,701,012,373,
552,093,210,481,106,745,613,447,377,789,268,081,174,566,930,127,610,035,643,
096,283,092,886,595,394,968,966,929,192,248,926,308,185,907,700,813,295,704,
356,796,301,291,898,034,055,620,152,697,596,797,752,406,913,474,160,892,832,
816,037,870,391,228,001,561,238,168,265,455,696,256,295,958,739,557,158,343,
321,044,543,979,366,147,446,431,437,080,499,228,693,792,936,279,010,669,191,
847,074,468,692,162,386,059,778,695,900,976,747,647,336,975,037,286,517,246,
797,388,273,069,715,655,816,735,206,253,185,185,592,814,984,226,486,882,703,
106,445,277,609,984,328,074,860,548,800,447,840,253,347,574,919,127,801,920,
611,670,511,821,010,542,015,376,388,888,188,882,928,689,091,301,481,183,713,
016,482,022,869,364,010,770,195,760,884,104,739,327,755,406,878,016,588,954,
481,666,919,078,492,842,325,130,894,597,842,416,131,197,241,933,328,168,580,
612,072,200,570,406,981,197,461,394,851,051,498,314,492,516,378,435,357,177,
150,861,122,857,511,590,472,098,602,731,925,887,904,125,040,475,650,842,169,
413,417,804,825,851,331,695,423,747,806,390,932,513,912,918,568,841,444,799,
098,265,201,960,311,287,964,852,241,445,388,078,517,863,493,374,137,500,482,
405,504,431,549,280,447,676,848,992,340,146,177,173,323,491,485,462,370,858,
227,825,702,539,176,584,701,791,287,583,126,755,722,834,769,300,817,865,682,
942,310,240,144,550,638,153,202,442,801,664,620,826,783,263,778,982,337,028,
963,052,389,213,244,135,340,588,312,868,626,909,919,398,891,090,906,854,036,
375,425,266,141,333,817,039,608,118,283,520,677,730,345,473,492,255,660,538,
206,567,810,617,169,237,971,630,925,314,482,102,550,663,097,475,070,271,453,
330,469,501,405,753,739,819,046,284,808,860,745,140,860,118,883,565,330,842,
779,321,242,877,621,505,593,576,538,672,858,097,585,370,309,955,951,116,730,
086,971,270,276,717,277,248,386,672,295,391,839,133,891,883,224,069,820,890,
836,834,454,243,717,599,152,622,484,373,587,004,503,469,693,505,707,372,471,
839,401,731,988,636,257,257,077,922,631,812,976,293,932,292,138,130,841,090,
969,749,879,135,812,261,954,594,963,166,158,554,449,578,891,041,414,088,592,
044,108,946,273,218,053,320,880,836,466,133,998,955,386,183,632,190,179,375,
295,753,947,525,642,762,503,002,799,197,405,650,511,428,313,351,095,827,539,
032,680,790,026,342,762,893,024,312,529,366,689,704,188,191,780,245,614,928,
971,801,776,506,753,164,371,713,632,572,388,578,885,947,259,931,760,885,003,
733,900,429,417,750,695,452,993,692,429,415,026,669,195,131,464,371,091,232,
181,232,655,571,297,334,603,080,508,488,214,776,361,273,860,324,676,654,878,
464,908,053,779,575,384,719,518,409,683,922,083,570,359,247,859,499,708,697,
610,378,830,678,518,406,587,994,225,303,360,030,970,058,959,982,555,832,985,
697,408,878,939,830,431,599,382,036,883,573,009,127,330,093,256,700,669,502,
770,063,129,287,511,625,550,184,248,352,878,576,549,112,122,221,499,198,186,
011,217,849,330,175,772,157,213,120,137,690,124,534,078,271,462,641,720,043,
355,953,188,903,295,711,980,079,188,383,371,047,836,455,223,706,987,808,702,
700,801,711,831,029,110,002,707,563,323,984,645,330,130,049,887,047,896,152,
354,723,743,373,968,440,776,890,190,497,116,157,409,745,482,515,679,328,986,
415,915,281,305,355,702,044,634,121,411,339,783,229,101,608,031,592,267,687,
080,479,836,965,751,190,789,128,407,364,168,183,426,555,278,098,543,714,001,
405,952,353,714,628,356,639,033,376,264,528,606,013,541,324,936,656,399,278,
279,240,932,707,499,872,324,755,558,738,324,759,710,326,257,125,033,949,968,
706,087,625,769,264,483,713,574,616,839,773,125,719,248,616,007,846,934,810,
932,735,833,696,462,043,719,379,881,330,938,367,042,268,835,737,800,730,967,
174,174,212,208,284,845,764,100,174,208,346,366,611,864,251,473,879,041,657,
252,062,587,811,657,266,065,211,210,921,761,624,842,106,060,495,678,451,985,
315,574,754,678,569,444,966,729,241,718,236,280,224,939,409,190,151,808,499,
657,694,518,972,355,117,285,180,945,567,651,524,084,567,861,093,502,472,185,
479,652,116,008,934,915,019,823,913,777,461,121,276,389,367,186,499,403,436,
647,849,232,013,009,939,216,318,759,913,403,916,155,332,268,608,389,178,701,
354,406,211,416,631,915,985,999,547,532,898,042,957,225,926,323,548,550,141,
135,609,796,314,968,628,046,018,109,405,928,383,346,919,324,484,255,032,085,
021,592,684,793,663,455,346,365,950,386,551,463,343,575,549,988,437,436,393,
921,189,406,083,720,751,195,023,461,866,166,635,068,759,052,277,313,275,472,
470,198,233,756,970,026,089,801,534,691,915,620,797,079,770,468,994,044,410,
563,830,285,869,522,710,748,786,582,295,732,789,379,191,054,826,551,314,648,
959,156,732,854,497,834,965,723,482,175,133,745,612,308,696,385,427,961,552,
147,444,651,613,742,880,655,329,125,730,189,626,231,606,702,873,223,445,986,
073,725,723,991,711,580,174,939,142,446,198,789,625,259,159,493,982,769,026,
595,896,284,062,303,287,735,477,017,938,090,717,890,174,474,135,102,687,958,
601,784,149,256,235,796,699,192,425,059,632,935,213,456,135,305,497,997,333,
989,453,773,437,785,123,096,453,004,058,993,625,930,744,291,245,139,998,948,
630,345,844,394,935,995,419,560,300,254,077,885,337,841,507,624,258,620,748,
661,501,959,030,019,265,212,314,152,027,436,237,167,542,725,320,618,801,108,
573,581,061,890,363,976,580,113,291,522,660,619,377,602,105,420,864,503,800,
038,384,522,271,223,217,315,171,982,475,284,043,158,333,919,896,729,517,803,
578,302,631,019,251,749,095,351,106,053,500,815,702,607,278,012,627,315,834,
779,771,500,195,077,802,404,407,475,942,509,874,360,866,925,850,320,257,482,
393,291,920,930,375,606,385,964,001,050,764,262,878,005,352,966,466,960,443,
848,679,098,892,014,621,290,675,090,117,468,269,136,499,946,190,196,275,448,
984,584,122,260,732,302,938,198,063,630,362,772,749,809,555,771,612,926,628,
321,173,279,529,430,837,088,575,003,954,892,412,248,383,842,144,845,662,314,
871,220,240,318,773,261,394,304,961,191,915,843,141,197,490,026,926,277,786,
162,217,182,618,122,849,326,472,348,792,922,914,520,414,625,262,182,439,046,
716,783,303,628,506,446,447,239,991,768,657,466,568,541,332,314,017,582,220,
142,478,741,337,224,162,831,751,106,226,621,765,425,089,106,814,788,395,457,
714,446,632,338,787,982,138,740,975,729,790,397,308,706,913,472,919,953,304,
233,473,700,283,925,369,073,646,431,112,442,842,196,713,972,028,128,087,753,
796,988,966,884,151,658,396,405,610,894,416,817,636,511,471,966,934,243,215,
095,496,915,552,842,337,723,670,791,650,872,933,751,516,911,145,311,715,460,
537,634,911,566,628,913,869,786,992,365,190,926,404,700,184,595,943,664,516,
715,495,675,631,262,652,760,439,456,000,968,517,698,980,685,755,656,593,989,
680,859,211,140,130,253,315,008,587,502,323,690,935,749,045,056,146,313,610,
007,353,250,051,709,404,147,951,471,436,083,698,431,956,892,489,166,649,586,
451,394,033,750,413,306,172,958,362,387,579,060,043,551,384,380,766,748,874,
470,946,734,676,487,435,515,576,453,900,866,088,262,612,101,073,168,329,701,
283,810,847,225,995,752,192,315,357,843,285,740,690,417,617,018,570,939,979,
646,655,714,402,800,744,033,225,766,075,217,892,061,857,908,662,016,728,549,
357,434,612,801,897,520,535,997,695,181,350,510,463,506,089,886,868,668,131,
451,955,793,324,287,810,130,397,605,629,093,484,557,504,303,846,477,464,428,
315,573,281,537,989,691,283,251,879,127,536,186,257,306,496,447,507,279,588,
914,799,359,813,666,723,865,787,580,198,993,934,517,317,661,826,150,830,782,
042,551,611,505,243,741,930,401,980,282,056,087,328,832,046,587,810,499,496,
723,131,997,877,999,690,772,956,961,729,954,383,555,510,685,858,912,212,589,
254,640,719,267,822,937,624,714,235,622,001,307,413,631,250,698,664,389,831,
333,788,330,176,951,687,585,861,308,334,579,657,921,753,668,728,330,157,274,
578,383,038,632,303,890,286,730,638,204,355,005,230,247,168,276,177,822,378,
327,988,647,589,411,147,775,106,357,983,959,013,623,021,009,319,120,601,971,
556,307,078,994,067,365,684,029,819,990,242,657,004,984,165,329,220,008,287,
308,597,958,278,753,074,975,374,113,184,520,683,971,202,525,091,640,432,145,
436,982,494,746,729,156,493,784,076,224,374,436,764,998,051,072,090,169,273,
258,313,050,238,439,074,069,108,002,168,020,025,087,843,212,263,525,808,192,
085,570,844,083,758,403,759,085,777,766,493,093,776,952,745,591,456,365,494,
887,908,611,383,128,169,634,529,903,685,908,001,435,105,418,729,926,141,608,
661,866,756,303,400,170,026,282,701,496,992,981,701,237,503,924,345,109,270,
299,102,561,620,649,616,173,495,266,437,652,494,869,577,798,043,957,959,625,
246,837,283,217,127,505,027,523,858,949,559,575,533,287,978,716,511,583,463,
472,979,379,516,386,677,158,007,572,401,106,273,633,131,203,343,801,997,672,
990,993,486,406,551,631,088,228,901,169,805,814,283,273,498,831,980,109,438,
906,293,541,061,885,041,159,697,006,065,991,497,876,485,182,590,622,767,173,
331,099,423,859,686,801,336,793,480,993,852,162,063,988,926,292,791,550,506,
766,457,914,443,127,280,036,297,111,914,929,176,609,584,319,449,071,559,093,
977,618,830,154,240,429,695,404,566,555,505,023,105,636,372,020,515,286,378,
592,132,881,704,965,803,661,157,736,016,243,236,418,346,282,114,402,506,843,
752,051,778,978,820,056,455,979,896,877,598,442,540,940,745,675,839,004,099,
014,814,279,031,385,954,653,595,028,343,629,526,761,404,528,838,922,628,986,
663,447,452,014,368,099,330,212,245,893,044,464,479,643,367,783,612,771,642,
538,955,062,161,506,151,036,236,603,868,359,076,785,632,863,825,155,504,815,
975,916,573,403,940,219,988,623,224,592,156,403,407,900,429,045,694,584,255,
250,609,587,066,201,022,104,168,172,403,086,516,618,479,782,240,617,540,245,
690,807,992,009,163,334,009,101,647,826,483,398,456,262,900,372,338,306,922,
862,634,647,880,500,813,812,762,439,730,116,627,281,974,806,089,696,405,513,
520,142,849,465,640,002,918,999,427,167,725,183,660,197,189,734,151,345,344,
324,580,682,715,202,290,528,015,209,236,611,235,048,472,406,220,739,790,568,
022,720,213,049,493,979,908,676,377,436,972,301,643,861,753,668,043,513,826,
457,591,301,276,679,880,980,924,797,483,345,904,032,556,206,695,396,229,647,
260,058,094,265,694,171,273,036,115,855,753,348,366,567,976,813,272,509,039,
896,457,562,977,438,751,515,057,611,731,312,809,415,623,978,325,740,417,061,
490,469,947,130,236,806,826,402,131,431,463,249,308,102,018,940,991,940,233,
383,013,134,429,558,735,152,993,591,082,815,013,705,659,851,271,862,536,447,
523,276,321,449,230,396,871,442,902,672,896,547,801,619,646,393,897,633,464,
760,270,662,774,559,783,920,337,453,424,351,832,695,842,487,016,537,351,934,
957,380,267,506,800,912,590,145,475,090,643,692,337,739,165,306,608,718,764,
323,118,321,319,985,311,974,513,474,810,682,020,996,556,128,932,055,168,913,
005,378,311,713,946,015,959,074,138,339,967,966,801,018,649,736,326,641,030,
332,759,175,790,924,685,681,879,934,850,008,414,987,959,945,018,723,071,191,
763,370,104,521,576,787,819,825,658,992,361,847,059,044,877,992,576,742,139,
700,051,569,469,220,652,455,006,250,765,687,048,660,956,068,103,719,501,797,
716,030,998,206,997,254,398,317,658,227,972,018,395,685,083,892,463,736,865,
374,548,626,420,903,934,113,384,668,407,281,748,819,685,954,142,862,502,633,
202,462,886,693,842,102,930,981,339,913,862,775,388,910,559,699,269,291,033,
271,609,110,313,491,999,677,873,194,045,314,552,872,284,105,567,585,903,432,
653,980,179,204,035,447,860,470,798,369,929,391,662,434,481,723,145,031,800,
488,244,596,148,217,258,435,341,797,556,495,476,785,985,785,851,207,856,193,
061,121,290,754,443,913,885,624,591,003,608,405,438,546,917,442,553,525,905,
283,759,258,829,910,142,719,850,667,378,573,547,045,507,400,933,775,988,233,
289,235,956,864,324,124,487,150,779,615,973,172,573,821,181,439,888,988,606,
636,396,066,449,419,487,123,334,496,661,921,043,385,734,151,222,504,044,850,
511,882,296,828,429,972,394,986,294,667,073,229,109,829,263,071,828,564,425,
349,035,529,738,511,421,095,804,000,772,518,786,631,268,863,152,252,405,074,
594,947,654,623,818,288,428,636,739,551,731,951,198,448,945,750,036,067,294,
138,380,636,975,105,785,544,100,524,510,162,963,113,729,454,196,355,698,890,
471,098,126,406,366,788,972,099,573,738,782,613,982,330,137,567,230,264,418,
128,188,287,495,380,935,237,137,214,748,158,545,201,868,248,940,478,486,387,
457,740,311,424,482,684,196,094,776,727,549,883,990,826,173,803,632,642,793,
878,601,223,173,335,611,325,277,785,712,711,496,848,240,856,067,066,436,969,
676,740,538,992,028,699,001,771,232,776,462,542,618,376,830,644,956,767,327,
757,607,961,850,587,597,832,016,549,227,162,532,941,959,309,834,180,584,063,
224,864,625,057,659,147,875,872,624,855,393,160,528,843,523,955,207,866,768,
552,808,197,997,635,268,340,242,155,103,141,742,840,814,268,468,363,333,012,
561,867,645,318,861,581,544,313,477,703,446,678,860,618,672,324,017,143,309,
926,312,999,213,240,467,042,730,989,527,691,255,619,047,351,311,709,601,503,
958,705,109,636,515,343,708,073,773,067,850,418,486,251,648,218,025,290,067,
840,457,803,567,327,082,041,417,208,894,797,626,133,885,769,787,719,006,789,
697,213,927,909,009,736,739,287,208,677,679,973,334,274,617,271,483,657,195,
650,307,461,964,884,036,316,404,654,417,050,697,723,304,129,902,951,556,703,
589,510,073,829,545,638,859,049,510,581,605,251,333,374,236,400,686,876,464,
196,332,289,490,521,334,660,891,862,165,732,440,497,350,068,483,759,465,518,
903,428,260,581,446,393,106,383,154,065,743,351,334,181,240,316,639,081,717,
093,868,374,010,410,033,074,604,170,834,267,998,778,247,398,328,129,305,314,
539,480,170,571,960,112,302,114,233,226,541,236,961,429,907,969,252,209,383,
826,157,167,559,870,564,007,272,110,191,406,283,675,939,501,368,774,066,238,
731,122,063,276,081,350,176,802,201,503,065,566,241,832,980,087,950,965,852,
946,927,786,007,298,729,201,653,872,244,489,126,616,569,551,095,555,580,590,
418,155,514,987,193,537,077,146,051,870,983,946,222,909,960,407,733,038,033,
162,072,777,898,518,164,306,741,913,667,026,153,284,716,463,404,637,634,542,
934,878,778,260,760,543,364,869,179,405,396,840,389,404,014,648,450,302,311,
531,361,554,901,631,857,807,876,017,743,751,577,750,995,040,857,507,306,106,
581,055,724,362,138,023,113,271,104,756,924,489,879,247,313,703,723,547,935,
325,730,230,663,636,289,253,344,520,893,333,245,841,380,568,550,864,941,890,
493,708,738,422,802,456,574,205,035,103,553,114,645,577,161,628,095,557,301,
817,293,452,675,472,446,111,355,483,176,331,103,369,320,670,660,161,171,542,
554,247,443,459,595,864,159,349,583,137,358,460,447,724,086,132,418,854,998,
038,703,853,714,941,470,462,952,145,546,044,783,047,933,145,917,124,195,169,
722,223,120,489,027,317,055,808,677,988,697,823,654,695,290,384,146,534,480,
114,361,190,076,501,378,519,004,053,226,414,899,740,667,757,322,235,877,694,
264,605,573,231,944,334,476,297,678,750,933,329,657,885,562,770,446,799,582,
623,419,659,713,993,134,999,560,293,153,716,106,493,274,791,765,581,098,998,
343,747,178,373,521,497,040,292,117,096,637,663,051,916,217,262,668,249,042,
551,825,188,558,516,536,626,206,212,969,806,565,492,836,127,977,006,225,353,
942,280,186,160,931,671,850,517,898,866,463,943,512,432,539,659,537,418,724,
313,103,439,107,020,657,852,118,043,921,454,966,421,720,198,767,733,232,144,
736,619,466,779,591,691,132,872,687,964,851,763,802,054,747,727,924,455,981,
919,988,010,396,633,612,085,981,836,352,568,499,157,490,168,617,645,912,906,
216,414,369,908,923,045,567,315,443,256,416,733,744,738,113,726,332,167,316,
109,818,802,935,118,238,286,748,327,880,128,752,465,393,421,900,850,215,893,
278,347,045,233,560,551,472,171,530,577,009,219,515,585,196,320,189,385,819,
321,423,972,926,000,714,604,672,854,368,314,474,505,785,017,978,342,763,672,
674,778,464,711,565,203,707,405,000,918,033,074,964,220,844,174,010,626,620,
444,028,210,238,095,911,550,027,109,388,711,377,706,464,885,107,697,593,845,
005,633,555,883,979,211,862,645,360,395,331,929,618,000,064,099,750,435,447,
609,318,199,171,120,029,236,373,004,715,051,435,377,376,704,530,825,055,845,
476,744,204,972,860,568,236,499,068,589,905,688,474,994,128,652,603,880,212,
318,893,066,351,669,153,949,041,942,726,216,819,429,850,100,007,046,732,775,
429,614,481,158,747,705,607,099,087,202,675,835,650,899,442,674,072,892,350,
699,648,846,477,662,703,181,207,681,370,047,051,563,138,324,641,972,583,469,
884,254,358,284,984,650,634,181,266,248,536,744,052,059,154,164,234,570,925,
382,949,975,285,664,076,916,461,590,206,227,079,448,035,193,576,650,788,658,
254,804,270,490,869,550,916,986,336,045,905,676,217,618,790,006,889,639,938,
348,354,519,130,719,836,593,137,863,180,736,520,492,701,622,106,136,494,486,
197,814,376,606,015,638,052,469,674,108,536,121,657,968,751,838,850,560,915,
034,838,403,559,793,660,130,190,676,891,673,730,453,043,893,059,201,225,820,
443,638,933,724,958,185,394,260,129,828,100,190,595,851,477,678,805,875,401,
262,017,776,581,742,176,568,116,355,055,527,851,220,172,410,698,428,775,779,
613,233,510,027,989,925,104,426,334,465,913,087,111,619,389,699,991,436,055,
480,961,842,694,005,560,365,720,089,972,203,594,588,871,561,851,824,402,001,
960,051,572,938,981,149,104,013,817,258,816,813,706,399,065,098,467,055,025,
810,826,182,605,350,019,334,316,650,426,836,783,746,963,122,870,464,573,123,
322,156,562,048,698,180,954,594,374,086,624,235,068,336,014,725,226,100,395,
560,541,618,436,297,428,775,479,114,965,789,351,814,759,948,273,277,562,923,
507,044,216,774,777,817,370,640,591,770,410,987,842,806,822,415,248,527,432,
472,866,297,222,533,138,759,173,766,665,124,462,817,157,120,643,501,835,507,
265,124,821,042,915,302,646,465,724,054,708,056,807,472,024,293,449,889,068,
094,865,896,049,802,258,680,379,231,488,921,594,680,026,809,269,004,668,568,
309,446,018,056,460,046,333,230,510,296,524,879,533,859,851,156,404,492,167,
103,208,387,911,591,356,884,990,047,006,152,083,931,584,942,778,745,381,102,
677,157,436,741,564,405,631,024,138,714,714,529,552,481,144,606,342,115,395,
269,958,279,577,293,968,601,061,187,177,602,850,598,010,687,641,985,862,043,
124,507,246,594,649,680,855,783,739,435,412,863,016,464,310,607,672,574,058,
695,494,087,521,252,348,703,227,291,796,258,640,834,319,322,153,664,754,407,
106,043,534,914,111,413,815,430,006,096,940,785,068,946,765,078,256,677,453,
680,366,958,587,758,095,746,465,603,686,821,648,919,089,202,450,577,065,863,
744,915,026,208,918,011,973,186,454,291,714,910,144,627,601,534,088,483,361,
534,425,368,096,807,454,129,165,887,510,105,651,491,097,092,773,757,664,823,
784,357,874,573,066,026,579,915,024,526,822,361,279,887,542,351,927,471,625,
175,146,083,265,543,464,848,113,536,032,770,220,642,804,496,309,104,944,542,
904,164,981,641,072,995,122,986,495,335,615,001,478,935,900,196,435,090,289,
498,611,414,947,456,479,354,069,856,163,024,738,796,941,471,773,084,208,806,
035,445,754,369,418,984,539,330,789,815,580,375,178,903,071,612,326,838,459,
800,847,180,646,262,891,391,895,018,004,217,201,769,353,096,326,084,713,536,
343,448,079,136,891,903,985,476,310,904,508,652,154,208,314,282,638,577,126,
625,481,375,792,522,210,099,656,849,537,400,887,937,958,870,576,917,746,643,
359,348,225,812,570,180,227,884,997,058,509,451,645,466,660,015,826,898,273,
137,776,470,860,293,525,677,432,099,879,962,696,252,378,797,847,100,862,622,
358,346,760,140,434,643,996,044,051,443,115,414,937,572,213,061,191,359,213,
158,857,021,279,928,858,143,523,116,783,420,608,017,486,320,453,246,175,563,
146,325,773,164,216,535,931,516,790,510,280,427,518,204,254,820,061,836,190,
851,482,114,352,209,448,520,270,966,379,344,626,401,814,574,899,967,758,321,
627,789,942,036,215,637,167,502,404,052,131,146,013,667,866,426,560,768,231,
875,337,447,835,838,822,431,915,958,699,467,576,278,065,724,409,014,895,456,
495,107,902,865,334,543,938,099,540,581,000,809,653,545,461,914,979,422,200,
958,638,288,320,229,390,329,974,751,702,968,742,882,470,919,409,954,985,386,
088,308,802,147,747,190,627,104,098,825,049,591,460,240,975,061,373,431,782,
807,505,164,625,600,160,739,257,272,455,088,154,604,334,599,551,144,772,539,
514,352,351,486,385,370,596,734,729,169,168,430,352,083,955,399,631,175,954,
756,017,711,564,682,023,947,449,589,414,830,043,748,495,314,247,033,326,065,
084,737,665,101,941,533,661,133,997,381,969,404,402,193,171,678,195,071,917,
402,899,724,535,423,498,423,762,282,441,497,584,160,607,705,819,974,237,753,
767,490,162,934,719,503,369,652,370,933,395,869,117,270,827,578,663,027,243,
779,180,621,731,964,983,624,242,149,836,688,263,422,691,659,214,379,266,771,
414,034,049,417,679,615,726,261,786,537,828,991,668,821,097,784,562,815,062,
276,994,668,962,130,155,092,225,988,811,110,159,819,681,412,258,315,478,829,
277,240,806,131,786,288,089,831,878,335,079,585,885,477,659,035,624,866,005,
297,501,337,486,425,769,434,130,719,790,478,030,923,632,355,069,437,006,911,
896,620,742,477,586,159,477,673,947,790,219,929,640,481,265,437,858,534,853,
850,895,785,028,013,185,665,708,664,205,216,448,940,788,430,918,376,440,617,
585,839,847,885,021,479,193,970,774,771,966,288,095,856,687,043,433,061,751,
177,129,281,244,972,159,509,790,460,701,098,375,734,502,519,050,913,789,140,
849,191,256,727,895,305,304,174,021,268,431,589,890,117,000,834,612,866,666,
174,728,228,926,809,865,189,176,390,542,091,974,687,971,589,129,267,221,827,
173,434,594,400,197,483,200,838,595,209,705,992,703,588,986,739,991,564,866,
225,635,820,459,582,850,172,594,384,213,147,618,167,940,400,040,187,070,327,
365,804,268,546,048,389,468,997,828,130,323,326,089,069,241,658,319,170,193,
063,316,361,549,748,875,788,441,802,648,205,113,716,064,665,537,274,946,078,
420,448,519,486,500,524,127,453,002,762,332,403,318,761,574,815,376,718,419,
066,338,064,448,836,753,531,597,168,365,202,915,707,460,536,256,327,382,863,
189,552,910,686,885,940,453,748,372,204,765,815,835,143,091,826,169,641,795,
466,701,065,966,600,963,211,323,385,466,078,046,718,034,854,850,102,391,845,
445,007,952,906,884,858,717,120,153,470,764,476,380,136,457,677,935,742,973,
928,892,992,092,624,025,222,027,658,383,608,952,608,316,909,688,893,996,641,
931,205,160,323,662,073,401,806,535,681,050,204,289,490,595,329,954,454,485,
237,481,039,852,990,405,702,837,238,163,682,572,311,099,178,739,986,581,041,
886,908,240,404,868,185,657,726,327,768,937,904,887,479,799,799,737,406,233,
085,533,979,943,900,637,082,939,674,612,592,069,439,041,517,818,989,500,837,
508,202,666,290,106,372,789,369,185,252,893,610,094,723,079,721,394,262,017,
502,032,153,304,991,103,252,582,549,189,632,473,376,019,754,495,814,779,795,
903,768,355,505,015,109,882,399,551,664,095,407,094,679,332,000,409,344,480,
411,400,124,084,300,754,412,220,466,192,900,230,424,218,353,447,328,667,639,
446,005,165,430,770,601,230,936,701,126,608,559,632,194,695,414,487,465,872,
854,698,683,480,242,716,190,428,426,142,682,958,174,166,020,332,245,214,075,
692,691,121,612,175,181,275,097,572,645,849,441,695,709,206,177,049,736,202,
145,982,543,232,317,103,695,742,161,052,394,228,550,913,080,371,323,402,372,
205,822,435,059,126,773,645,252,734,532,002,932,271,240,908,051,197,021,467,
369,437,475,026,240,373,010,975,050,426,662,114,184,114,285,329,377,362,123,
197,868,785,289,794,501,711,004,429,316,222,407,732,825,407,110,602,415,745,
367,125,987,348,783,906,248,142,366,886,542,559,276,755,507,278,675,423,832,
462,433,456,210,561,302,645,739,505,611,808,100,977,407,901,557,523,876,839,
352,211,705,539,448,906,643,273,432,558,551,639,547,421,694,503,443,809,990,
557,516,806,384,756,491,552,039,956,082,618,983,450,704,861,457,355,363,100,
378,874,165,173,768,544,454,810,423,300,891,126,188,407,109,610,272,203,217,
265,069,841,727,000,810,174,765,425,706,585,748,251,106,539,415,264,653,888,
229,511,054,291,705,035,665,578,564,924,916,879,998,601,202,051,714,438,838,
200,506,069,904,189,722,446,588,506,616,065,993,211,081,554,017,743,786,918,
135,554,806,781,063,908,297,529,336,293,365,154,511,525,126,505,486,794,673,
341,159,913,113,330,514,353,186,869,960,872,504,381,259,889,581,834,795,286,
435,768,062,094,657,247,302,023,943,973,967,922,807,699,146,598,086,087,593,
075,315,591,956,838,342,129,246,135,632,280,809,726,062,613,862,189,782,146,
955,658,963,759,869,289,492,603,322,980,334,667,479,196,461,118,157,407,866,
721,390,192,445,729,531,355,550,673,247,753,544,402,824,974,573,205,468,196,
016,334,558,083,305,700,315,966,497,887,284,760,786,857,229,515,404,172,268,
287,414,939,646,723,854,376,838,590,262,790,506,396,673,497,668,803,969,902,
078,858,856,494,425,352,633,454,364,631,071,484,319,862,407,920,120,688,854,
690,610,140,712,837,015,299,166,079,504,814,073,114,584,300,736,086,767,604,
146,436,485,367,784,795,657,763,631,953,138,425,116,400,753,079,689,285,188,
015,896,348,115,878,836,813,375,562,072,411,641,817,437,069,601,236,191,624,
011,563,455,841,905,086,928,200,664,696,797,360,994,755,776,029,039,277,035,
768,197,346,574,112,888,335,538,973,483,928,135,839,074,793,259,730,611,446,
301,527,225,070,834,744,714,916,103,679,537,046,657,131,500,093,957,033,588,
695,160,513,110,000,831,973,540,122,457,242,224,516,765,107,692,203,008,207,
550,324,649,935,245,641,354,698,418,009,446,672,288,180,735,556,600,819,053,
071,308,086,434,791,197,022,361,415,659,001,414,722,485,638,745,941,374,665,
349,317,641,888,321,328,538,089,957,762,483,594,057,305,630,571,781,186,638,
931,340,640,570,535,090,735,985,067,276,424,236,752,132,000,654,810,278,833,
912,519,889,569,579,685,857,738,819,884,055,129,955,449,369,352,462,921,208,
038,163,801,277,469,091,420,506,546,904,444,299,922,885,437,859,681,838,195,
490,433,634,832,643,040,435,514,246,001,555,161,427,610,216,385,707,347,470,
359,044,164,362,841,849,190,321,489,739,969,629,602,066,022,325,238,146,656,
773,430,837,404,770,014,306,518,264,250,151,511,273,472,696,577,418,399,981,
508,187,337,121,373,339,746,191,588,504,054,413,131,133,818,070,860,297,579,
842,055,438,400,025,274,069,984,895,591,093,219,669,090,193,216,150,960,880,
023,721,859,117,730,392,132,780,968,366,076,107,279,788,302,063,603,970,268,
685,254,045,820,782,973,485,590,420,388,184,528,324,680,138,286,118,575,420,
605,039,770,834,093,780,194,933,076,718,040,625,711,990,460,784,378,735,900,
039,378,330,723,249,918,985,182,223,673,988,950,560,898,172,660,178,773,228,
957,631,132,536,210,514,754,519,924,865,582,420,555,359,759,046,450,151,805,
430,665,666,924,636,585,794,155,172,057,103,469,430,331,821,609,288,023,011,
296,069,492,461,087,995,740,357,012,133,339,272,154,501,657,246,840,965,937,
033,660,812,102,175,132,113,634,303,089,696,398,842,095,250,091,730,196,198,
315,330,399,224,388,073,835,367,810,034,793,224,742,809,750,154,409,919,339,
964,286,113,456,834,844,728,962,220,851,103,003,589,770,702,296,599,652,649,
720,626,448,033,049,720,426,014,794,866,835,247,080,534,668,016,297,107,140,
261,235,302,087,361,020,183,200,424,162,437,239,618,671,399,925,247,471,039,
716,384,430,229,312,610,877,372,751,728,195,267,755,101,010,821,512,515,583,
859,905,188,720,116,129,513,079,215,699,207,357,091,056,606,433,455,974,077,
254,976,821,350,185,451,704,962,970,077,878,746,360,680,265,918,975,705,540,
559,942,903,033,121,551,117,969,019,555,483,991,801,149,440,641,166,019,343,
464,715,165,602,970,267,363,119,800,560,981,478,843,272,335,529,042,787,867,
055,624,108,085,662,921,671,238,433,534,575,244,581,925,363,991,134,515,360,
436,800,581,476,166,913,338,661,875,782,298,069,079,663,280,405,176,694,925,
827,508,192,976,308,095,135,176,433,312,661,706,528,392,193,516,444,437,998,
032,647,953,849,014,546,727,501,957,239,512,569,928,002,509,757,349,101,307,
916,385,308,873,732,325,300,851,863,855,175,774,332,802,891,920,151,134,536,
063,515,786,144,780,877,638,040,888,284,175,362,436,911,511,152,470,229,681,
863,453,682,922,234,485,671,784,732,709,466,882,593,804,567,548,276,035,826,
473,619,431,621,515,383,694,156,269,876,675,620,433,636,710,240,989,161,524,
435,615,896,684,595,725,131,329,608,288,858,231,750,885,253,165,913,103,437,
303,041,511,109,708,749,323,280,820,391,752,066,360,467,681,932,968,405,912,
989,216,401,260,096,143,883,426,023,279,235,671,537,729,420,903,715,866,191,
838,290,992,809,249,825,470,238,933,679,200,027,272,014,623,013,098,338,663,
232,038,470,262,029,578,009,735,921,976,165,050,926,961,281,309,372,530,738,
999,142,977,820,598,914,260,937,997,496,526,935,142,367,218,797,977,321,047,
207,113,429,034,422,837,327,709,313,818,504,881,533,828,859,200,217,794,003,
916,324,702,980,731,059,035,312,284,683,274,996,203,509,975,880,613,668,814,
925,181,022,836,624,845,667,282,659,961,782,266,355,000,341,461,248,791,343,
436,686,108,287,474,321,384,530,934,774,266,942,414,790,195,320,792,653,361,
025,672,687,717,233,886,327,088,491,053,828,750,052,657,803,292,581,659,034,
901,906,748,794,655,793,838,695,434,262,867,377,806,914,938,368,788,817,459,
937,169,905,760,219,674,406,443,153,344,042,765,101,073,634,119,202,061,600,
103,400,962,462,298,864,432,523,153,225,412,432,866,489,097,962,894,791,897,
345,530,190,409,307,766,123,993,750,727,497,597,571,688,560,658,450,314,135,
819,858,594,125,890,016,155,139,179,007,880,878,325,100,384,233,453,630,100,
743,189,065,195,932,872,276,386,872,525,884,605,877,424,690,107,189,098,836,
497,070,518,259,490,743,021,676,170,716,706,220,217,163,235,689,814,988,214,
777,906,230,765,363,193,413,632,742,285,042,147,228,911,041,869,046,913,562,
384,308,728,918,037,147,271,007,289,212,943,067,111,215,021,772,532,306,938,
624,308,037,709,654,345,239,142,852,648,464,750,037,432,842,382,159,046,931,
112,754,798,464,348,095,093,666,774,567,233,407,161,798,333,811,801,495,583,
788,504,794,276,834,611,121,620,743,473,221,758,489,503,645,541,743,378,237,
148,895,174,289,929,711,149,597,216,313,472,077,442,156,082,871,681,669,196,
910,506,529,684,421,784,565,987,499,229,712,972,867,932,512,213,787,534,747,
454,648,197,785,104,369,823,395,653,939,908,164,244,120,796,276,899,882,625,
224,120,649,003,068,156,600,272,755,762,148,765,185,945,052,241,275,286,544,
182,606,254,589,757,715,057,841,734,426,191,817,699,578,508,975,850,227,533,
498,822,984,059,561,084,764,229,814,847,930,008,842,821,010,719,225,521,853,
962,224,018,570,595,239,849,972,682,504,562,117,675,402,213,550,317,820,204,
172,027,441,211,583,321,293,322,905,701,689,120,271,642,554,688,851,473,272,
060,492,901,224,189,388,923,285,323,289,779,380,101,762,788,756,543,341,337,
419,920,945,875,798,199,473,565,423,152,138,669,820,383,670,681,405,184,568,
661,315,886,705,709,881,927,018,137,163,121,679,000,576,901,876,567,835,040,
003,129,167,392,461,563,554,667,132,741,743,674,269,882,081,751,464,725,200,
743,170,350,169,279,240,091,180,048,906,544,497,612,366,594,760,462,352,388,
288,553,104,233,334,218,321,156,840,367,695,517,620,852,677,114,188,134,678,
194,892,552,038,407,205,223,620,580,525,705,701,311,218,663,089,843,534,728,
284,401,734,567,520,017,536,836,892,275,264,272,712,993,634,502,516,765,495,
742,758,054,419,441,596,314,479,766,894,572,989,724,311,430,395,641,492,271,
918,816,268,773,675,753,520,554,790,181,913,024,343,799,393,020,159,278,337,
231,240,880,133,000,147,687,454,868,522,369,985,680,793,839,897,752,682,498,
121,398,238,996,727,903,318,355,738,545,434,986,780,365,132,761,848,604,939,
745,722,849,313,551,889,349,380,207,337,150,117,985,919,877,447,556,062,771,
873,544,230,097,621,766,774,473,228,811,526,479,880,831,107,896,165,975,471,
277,569,716,797,737,176,864,927,174,018,995,485,916,861,460,890,450,473,793,
663,273,232,738,851,439,467,289,358,755,495,191,759,838,627,394,283,507,486,
129,295,269,610,758,267,347,926,936,953,061,910,597,354,858,749,475,005,633,
360,663,538,323,678,323,592,957,656,566,042,848,849,840,920,892,297,514,156,
648,168,383,895,307,823,220,443,492,495,069,328,543,492,581,585,406,075,126,
067,050,182,954,889,819,277,315,430,402,822,508,547,927,887,608,342,489,612,
363,870,983,904,526,134,256,397,925,154,363,531,379,739,001,943,590,102,411,
541,517,507,353,718,432,903,660,126,932,598,510,821,562,513,141,589,597,061,
437,268,142,547,614,649,026,317,614,555,851,521,703,650,325,062,760,456,632,
683,508,723,672,412,220,308,657,980,981,265,973,100,726,512,820,599,481,529,
367,979,293,163,879,922,442,143,551,772,292,027,218,214,982,950,668,661,824,
789,202,422,739,476,476,977,694,308,322,251,358,512,868,026,908,118,611,083,
356,449,009,051,041,430,458,023,733,347,369,144,868,617,257,184,251,455,304,
348,478,823,033,158,292,489,689,551,368,299,688,053,963,781,670,985,207,942,
041,129,550,810,023,163,334,339,015,959,152,748,278,318,196,964,349,692,607,
554,115,103,866,070,585,607,418,418,546,532,956,981,122,310,923,488,425,176,
073,180,350,523,257,335,422,016,410,990,506,673,163,710,523,600,993,886,751,
531,550,716,511,247,484,304,224,716,472,803,689,465,476,771,952,381,464,890,
631,466,012,241,090,461,112,924,672,970,634,333,819,788,612,577,304,742,794,
541,210,909,738,225,966,952,513,013,928,327,479,069,754,844,935,603,395,674,
457,700,822,790,499,622,704,467,306,262,467,987,028,664,792,521,157,450,788,
896,989,170,932,372,753,919,953,801,487,346,065,329,197,005,904,803,619,083,
348,609,096,481,408,881,689,143,064,319,942,741,235,905,524,554,135,917,559,
211,673,211,525,895,759,659,101,164,466,133,416,854,044,777,757,139,093,080,
120,927,196,221,378,313,077,580,974,833,686,045,577,929,150,203,536,366,934,
567,043,464,642,789,634,453,872,698,962,132,844,204,171,130,035,789,407,791,
492,009,085,984,948,697,525,673,053,938,175,015,214,033,010,933,803,580,013,
276,415,656,991,306,908,800,619,614,284,180,057,399,574,845,486,836,799,688,
859,823,171,989,228,779,396,923,864,612,844,184,304,998,187,580,532,684,159,
689,743,420,881,203,213,513,149,328,046,089,328,400,166,273,431,121,747,792,
822,952,178,221,996,264,389,594,653,642,997,867,435,463,243,565,227,075,816,
643,794,277,305,055,249,369,272,990,467,070,696,351,749,555,598,979,441,488,
681,536,243,130,669,880,384,176,130,400,514,583,146,137,101,984,910,052,320,
275,742,148,452,154,495,216,359,637,820,652,762,816,040,873,026,984,505,450,
728,534,079,272,828,460,400,937,294,053,836,177,590,341,253,604,917,376,696,
410,411,118,755,200,315,386,958,066,371,939,990,889,803,231,418,219,079,649,
622,727,339,284,438,467,856,883,684,106,543,248,879,037,720,685,581,781,657,
118,653,344,137,847,331,311,620,630,138,679,929,764,234,481,444,349,033,087,
596,855,596,670,633,412,823,615,890,489,771,763,103,409,206,942,678,830,899,
635,601,018,497,667,547,826,732,833,424,271,150,422,163,093,342,116,629,863,
053,290,956,324,996,770,686,057,744,667,880,214,401,208,580,265,945,562,614,
165,715,022,835,123,423,627,353,726,631,805,182,812,650,936,416,757,307,838,
262,404,096,554,249,064,440,895,729,074,895,768,266,527,120,247,814,186,407,
124,915,949,569,208,419,109,059,784,470,450,120,043,559,084,616,892,913,813,
681,471,674,406,384,653,856,815,469,753,605,630,973,331,996,526,700,574,809,
585,031,661,451,115,669,583,586,487,179,301,892,356,106,528,678,566,633,474,
761,257,094,525,522,216,009,223,005,806,748,838,710,911,106,661,117,500,346,
567,912,533,651,229,937,632,145,840,716,471,781,893,411,537,672,985,921,586,
680,666,099,296,328,568,378,498,159,752,928,118,768,700,127,205,050,084,532,
774,224,643,847,983,871,661,611,152,325,986,312,764,598,715,033,145,803,218,
989,740,545,514,036,973,121,647,260,041,339,370,533,151,233,331,894,622,480,
914,344,783,386,596,326,078,791,144,126,662,927,966,048,429,531,602,373,969,
170,816,766,242,910,647,840,777,269,476,329,590,421,702,309,130,573,258,005,
059,122,319,228,316,145,372,057,012,578,570,658,849,825,464,494,713,760,111,
784,582,446,476,740,249,170,917,884,142,642,269,650,170,895,404,299,016,618,
642,832,405,766,936,827,718,273,992,023,596,890,519,700,821,439,957,321,224,
969,771,846,375,839,445,217,436,994,408,613,851,686,087,601,280,687,455,479,
584,402,339,443,805,143,678,929,980,212,058,331,177,113,114,478,547,622,961,
116,461,647,820,518,079,602,965,684,797,202,399,661,945,762,212,260,059,218,
619,274,141,401,309,795,463,721,322,024,890,333,757,374,888,517,850,072,528,
276,200,254,305,932,168,967,616,286,295,981,488,892,382,080,119,253,253,174,
831,741,807,429,971,980,402,858,327,275,338,923,505,407,390,773,363,440,620,
720,966,560,973,053,052,939,372,225,302,552,668,857,536,268,178,822,114,262,
556,579,243,693,541,778,528,713,965,766,641,229,750,827,520,849,296,005,562,
170,067,359,405,322,370,044,416,140,570,284,861,616,971,697,984,217,574,072,
440,242,535,888,074,850,952,101,373,366,892,709,182,153,501,450,771,334,819,
551,340,557,078,280,075,347,488,557,026,274,366,425,122,093,093,379,511,397,
628,359,736,886,428,670,479,385,714,853,895,711,476,584,457,835,203,811,505,
340,761,827,202,629,664,604,678,088,167,421,092,606,939,935,064,509,592,511,
917,540,133,182,499,595,438,731,547,009,991,760,838,221,973,557,757,641,907,
324,896,114,346,764,347,175,488,496,254,214,998,808,993,156,620,074,459,271,
850,251,291,406,279,469,262,784,425,010,430,738,375,192,341,829,972,433,817,
600,419,406,481,946,265,539,256,513,671,154,291,852,634,453,099,594,542,967,
965,711,094,940,823,051,827,691,058,275,350,426,743,492,544,885,020,845,781,
203,969,180,902,910,503,097,209,103,073,447,834,208,517,540,925,861,827,954,
198,484,648,139,318,434,912,848,140,724,879,219,832,599,622,772,401,366,373,
992,485,976,382,208,307,828,603,499,474,169,767,603,555,855,511,320,215,012,
021,551,800,110,301,934,199,031,778,397,143,143,344,458,308,389,515,458,940,
795,638,433,185,456,081,587,274,426,979,046,555,466,643,190,120,743,039,468,
875,309,928,666,036,504,909,896,862,300,680,930,807,590,337,213,600,160,513,
108,338,840,736,775,684,474,693,679,501,709,667,896,201,345,337,996,012,564,
162,213,100,016,403,189,602,223,243,314,733,796,447,382,302,196,156,456,657,
733,372,873,026,576,302,909,232,194,085,746,012,107,589,756,198,435,482,732,
376,366,641,350,832,945,362,033,316,318,856,916,821,847,589,235,452,444,024,
132,917,005,494,406,977,741,599,437,764,393,942,576,754,084,224,950,971,191,
836,923,941,542,746,165,085,456,407,550,105,720,037,286,915,560,921,647,535,
559,031,208,307,248,809,552,729,486,125,969,693,762,757,118,920,686,447,438,
560,777,224,084,766,998,156,115,919,670,870,327,302,145,535,334,572,850,379,
246,803,363,889,135,553,501,920,338,660,935,298,446,266,173,247,091,450,987,
256,179,302,589,880,901,640,203,946,769,454,098,257,481,685,197,660,170,315,
848,910,310,780,782,719,254,788,090,233,855,809,360,122,946,574,169,883,147,
768,106,366,659,337,042,226,977,318,152,906,528,017,978,050,884,457,581,749,
106,324,274,057,394,884,411,799,596,617,916,451,471,449,167,178,238,108,384,
770,092,248,123,895,889,652,671,153,617,798,898,431,748,115,918,416,599,264,
539,851,421,174,228,893,566,428,981,417,707,423,127,737,708,824,369,735,744,
996,859,997,318,839,311,899,524,404,542,934,416,838,564,811,687,023,052,343,
320,826,029,942,139,930,006,683,732,505,467,212,373,596,221,003,299,256,137,
411,459,434,258,745,443,091,179,169,867,272,954,666,946,806,901,802,286,557,
515,235,747,790,813,461,555,193,474,794,812,834,593,876,733,039,688,908,727,
418,188,659,106,181,043,790,540,629,770,945,740,593,000,279,601,502,460,595,
506,103,028,937,396,552,186,372,919,882,600,152,578,230,247,525,160,040,305,
107,235,884,784,301,360,772,411,494,002,261,286,064,635,871,772,033,214,117,
929,927,983,783,681,309,474,951,246,195,264,560,214,135,387,865,008,658,318,
851,623,652,997,710,193,611,570,473,213,145,043,879,311,909,455,310,621,058,
745,390,446,730,819,965,010,157,004,865,894,442,526,743,966,521,581,939,466,
040,120,671,235,601,519,530,041,665,830,830,760,669,174,386,018,832,710,616,
050,121,769,224,862,978,541,080,541,094,740,448,590,336,878,501,606,568,950,
572,197,201,015,906,573,042,563,969,501,433,499,807,176,078,997,176,526,022,
969,694,090,052,873,964,363,006,317,875,859,829,407,429,198,583,383,697,261,
930,666,669,690,559,910,684,577,943,350,642,765,664,934,869,069,759,414,270,
004,287,508,567,117,422,338,487,016,691,976,948,659,293,637,212,275,578,670,
823,471,082,630,654,907,398,564,656,802,131,114,539,821,464,580,651,216,655,
798,772,372,115,973,875,718,250,074,222,831,105,056,318,132,814,771,634,794,
751,975,999,786,994,964,142,123,148,167,511,160,740,451,519,989,738,326,493,
078,326,688,100,166,607,815,296,604,169,675,823,661,059,400,996,970,384,311,
431,504,942,698,755,097,531,005,098,540,822,486,618,222,087,455,907,541,186,
632,890,221,853,561,190,756,126,365,874,977,607,740,031,557,192,582,698,270,
004,669,253,839,726,087,075,603,647,982,838,677,361,575,920,779,225,797,267,
684,572,160,519,114,167,048,941,259,267,397,536,786,539,546,228,112,556,384,
745,206,614,546,251,098,585,337,042,112,605,735,097,858,801,399,112,869,160,
269,481,192,720,823,572,112,676,350,629,971,717,460,790,923,336,589,448,569,
938,496,379,741,427,527,957,738,656,961,165,961,959,712,550,900,946,360,188,
532,072,079,065,700,636,797,527,157,090,388,462,880,943,990,271,638,501,991,
533,234,192,873,759,007,298,683,964,118,695,038,141,723,443,966,316,690,450,
288,538,585,951,659,065,357,643,563,117,142,552,072,174,417,968,788,916,277,
341,749,095,986,208,059,931,955,133,224,298,554,123,133,931,922,283,571,884,
743,562,121,859,443,026,225,296,765,670,927,161,168,960,812,834,478,010,317,
457,509,536,349,385,895,799,208,359,034,344,155,020,731,931,967,234,844,862,
106,366,379,007,685,976,996,685,518,362,610,170,214,686,237,699,269,335,415,
973,369,869,145,239,451,736,880,572,303,859,697,081,823,260,030,530,028,948,
906,480,790,775,982,965,116,376,119,162,380,868,381,855,326,252,797,191,439,
871,875,019,248,253,053,041,737,592,681,225,795,597,172,414,783,665,280,430,
868,909,739,107,960,192,280,918,374,494,632,153,244,798,755,516,887,179,803,
292,549,487,441,405,901,082,890,281,050,488,176,461,954,733,286,771,861,034,
553,460,201,678,006,105,931,161,780,136,490,721,556,463,319,834,360,961,100,
932,194,307,134,193,679,193,525,297,971,673,248,284,164,069,332,241,331,367,
058,112,783,061,065,018,750,905,662,388,554,866,540,376,940,709,557,402,055,
658,576,279,614,270,399,961,286,691,765,314,509,251,529,423,019,477,973,229,
257,885,100,588,525,984,121,071,450,668,533,173,402,167,485,241,615,011,446,
887,527,737,668,598,094,802,260,524,741,200,517,905,561,290,013,873,368,617,
001,649,725,141,695,512,320,211,557,725,023,425,384,197,306,431,504,695,153,
160,914,611,259,252,151,618,656,164,506,867,889,860,605,445,527,142,724,822,
993,516,910,829,379,447,573,782,241,365,201,885,371,774,768,010,881,551,615,
231,157,152,568,228,313,250,914,848,864,321,130,592,400,710,352,973,340,953,
441,479,775,696,113,946,260,263,735,279,721,428,791,642,083,392,079,620,298,
899,700,354,731,672,680,951,020,326,807,580,742,362,219,934,160,365,079,944,
352,251,907,775,149,803,851,582,390,142,939,380,154,191,604,880,732,080,606,
790,094,363,127,610,285,634,012,024,968,721,718,470,980,871,723,720,432,686,
584,157,872,824,377,415,846,432,675,589,950,615,622,453,341,150,152,864,824,
564,008,238,030,913,989,986,910,425,781,903,779,192,960,299,671,913,375,384,
012,962,975,353,455,360,358,768,736,397,164,502,971,926,943,928,429,751,266,
636,193,448,014,283,900,545,103,136,057,163,904,592,381,846,538,407,532,856,
455,085,211,137,427,053,652,363,448,713,051,408,736,842,595,815,242,996,176,
830,038,946,446,500,858,311,395,790,456,810,080,101,975,727,053,625,068,658,
708,994,778,422,514,678,548,232,191,066,713,262,088,143,809,773,992,842,289,
227,352,341,564,524,478,102,872,646,950,088,261,775,558,479,227,642,732,521,
738,433,026,163,470,134,689,019,866,500,811,513,190,779,752,215,267,771,350,
738,747,344,550,741,186,083,209,697,720,005,704,589,073,664,086,845,553,290,
185,227,919,747,959,420,852,322,781,249,384,002,343,438,515,820,072,028,006,
089,137,618,201,052,252,928,022,542,395,027,850,576,757,561,564,827,377,197,
180,076,463,695,086,851,537,896,828,219,572,437,519,593,399,028,136,174,439,
101,254,885,485,019,713,361,116,655,920,852,882,683,348,133,519,985,267,093,
415,835,987,863,230,425,757,737,448,690,474,810,035,207,755,913,561,783,358,
057,692,309,484,655,018,115,467,864,481,996,848,164,378,744,506,903,533,492,
822,632,253,212,689,862,382,285,649,497,843,648,476,849,064,863,778,832,455,
500,192,367,372,158,816,442,699,413,572,431,151,143,305,166,077,589,187,499,
793,922,935,608,875,329,453,466,492,310,502,302,853,073,402,446,215,760,466,
549,824,558,682,846,469,765,807,165,933,463,338,889,812,417,761,654,886,458,
994,205,850,943,438,762,023,770,446,994,394,166,992,890,254,471,947,868,750,
273,545,075,936,854,863,651,750,613,558,943,501,521,820,411,736,181,242,264,
699,424,670,990,465,360,775,840,852,622,963,555,965,821,964,539,386,962,755,
765,379,132,848,384,754,944,527,402,607,816,237,527,113,730,628,110,527,069,
065,358,615,563,384,684,002,133,447,735,497,523,149,480,434,667,338,781,388,
622,907,685,802,121,226,915,347,384,658,870,246,540,226,251,240,796,613,720,
333,602,417,866,468,496,797,920,603,419,031,378,413,696,861,657,712,549,271,
439,627,960,080,453,119,800,424,470,322,230,452,440,257,870,675,098,040,098,
529,309,307,756,041,763,732,894,578,456,924,461,381,300,910,334,703,369,055,
486,879,109,647,618,379,926,673,071,024,659,100,126,647,088,784,617,104,193,
916,105,785,036,423,622,438,296,454,092,459,946,147,243,178,127,634,943,812,
202,287,730,275,140,738,334,210,249,819,340,032,153,098,273,198,238,876,312,
852,439,274,074,777,926,742,232,629,514,260,064,409,515,189,501,622,563,492,
990,958,421,800,258,022,955,147,909,979,594,642,522,309,444,675,934,298,983,
753,534,242,568,246,429,334,468,662,362,776,107,207,807,617,774,854,730,081,
450,354,702,454,882,329,134,767,545,877,770,406,922,834,047,054,727,583,942,
993,718,903,576,955,156,000,582,929,337,989,407,747,838,067,621,802,077,483,
812,211,265,115,222,889,298,319,489,714,497,303,709,639,155,336,474,886,398,
326,910,889,523,546,321,810,865,354,218,382,992,478,322,238,148,331,306,368,
488,796,225,666,192,812,832,911,687,598,685,896,589,395,271,191,779,226,757,
910,340,432,788,350,259,558,763,275,603,852,455,731,489,670,857,666,060,046,
515,017,067,969,973,943,178,423,999,993,208,927,025,233,673,458,718,755,796,
706,434,741,512,868,849,123,795,113,938,117,182,829,923,004,700,058,969,773,
149,228,406,382,551,012,366,692,706,164,172,772,537,388,044,278,614,696,368,
052,276,593,832,073,598,589,403,019,239,096,265,955,497,854,510,184,313,789,
476,439,356,203,103,025,920,653,143,772,960,891,326,603,347,354,970,490,925,
092,852,692,444,913,724,597,842,337,601,230,342,913,015,706,456,132,237,236,
293,118,014,485,107,854,001,004,508,145,868,515,519,747,604,764,094,267,054,
784,277,795,768,075,937,662,825,135,755,304,144,778,115,648,754,344,776,053,
413,216,081,213,786,139,900,906,763,830,413,797,760,840,449,163,928,267,943,
580,335,193,750,039,685,689,331,425,103,363,114,566,086,081,493,888,166,141,
570,221,125,270,510,341,733,712,988,317,848,108,999,280,401,952,704,328,488,
702,026,416,129,586,012,238,249,428,571,387,943,542,131,625,252,234,092,907,
418,825,716,215,426,591,009,967,556,950,005,971,542,511,886,345,294,976,925,
759,116,512,427,196,639,188,604,655,789,795,137,166,900,056,290,141,946,971,
359,874,785,146,116,320,831,151,032,816,640,492,001,823,660,516,853,056,555,
057,586,986,954,263,665,530,017,640,676,000,752,282,339,508,897,755,880,762,
965,523,585,360,282,939,830,614,884,988,188,250,423,723,846,061,706,420,766,
834,209,400,616,048,618,518,278,240,625,628,384,886,662,013,903,041,341,978,
770,720,805,405,995,671,467,958,394,878,253,285,620,523,853,361,043,249,710,
272,679,736,036,782,366,070,081,322,827,535,495,643,012,725,124,357,355,346,
533,973,715,424,112,723,011,472,326,536,414,758,871,680,078,664,737,205,836,
596,340,075,836,243,747,126,372,849,250,090,236,567,129,147,023,921,821,101,
272,974,908,560,491,260,850,569,682,516,823,767,151,994,839,352,045,751,760,
015,593,057,264,229,534,354,134,067,432,661,214,164,988,560,842,681,982,604,
593,421,840,824,347,564,487,407,613,880,183,732,350,787,306,052,101,262,277,
880,007,047,516,796,094,522,978,724,681,979,079,032,187,360,170,239,092,220,
030,647,703,798,442,011,095,168,133,291,277,494,721,780,274,411,703,457,737,
190,931,480,770,228,655,460,463,745,622,934,948,820,783,011,051,137,392,659,
641,156,298,146,365,005,173,620,860,655,211,649,052,775,479,861,135,325,808,
423,327,236,639,675,621,179,131,396,853,246,483,060,467,377,004,550,512,419,
690,389,649,234,050,075,620,100,274,090,868,624,579,487,754,239,280,062,048,
049,274,846,187,530,818,107,009,814,698,969,702,714,203,487,333,468,414,770,
999,798,395,795,819,955,492,753,443,293,295,029,938,441,165,478,398,450,806,
618,510,436,439,272,021,813,007,785,857,356,555,215,833,764,415,916,819,794,
008,770,963,485,339,086,442,349,092,725,188,935,046,987,015,307,163,885,477,
909,349,509,312,850,846,329,672,696,420,720,118,219,182,566,143,692,580,098,
272,219,541,474,947,524,001,037,057,883,935,317,802,464,973,998,762,799,513,
332,848,379,198,613,981,400,380,663,409,153,665,183,150,096,464,191,960,355,
719,551,802,343,226,538,028,309,601,269,614,127,794,226,775,571,846,498,030,
054,637,065,410,265,911,818,918,400,986,814,004,104,830,918,173,163,295,548,
804,539,574,125,954,513,359,406,539,705,832,660,942,585,449,401,190,061,263,
659,642,685,503,138,603,370,457,178,879,495,646,125,229,384,715,475,373,334,
176,495,175,070,751,386,283,194,577,265,523,858,656,353,365,345,730,788,722,
028,421,275,697,238,901,601,079,688,913,333,107,641,992,104,853,452,497,577,
007,620,996,953,778,636,468,573,667,617,165,025,058,108,340,569,071,709,695,
536,727,375,541,419,538,567,500,780,638,289,147,104,601,396,211,718,879,200,
107,391,262,691,529,786,825,721,453,752,788,295,198,142,170,047,658,719,103,
944,841,211,523,758,480,034,487,875,211,101,776,174,285,770,006,239,595,361,
851,346,579,872,424,351,712,809,891,723,778,545,102,456,119,161,448,859,582,
875,982,226,999,818,978,526,077,582,526,137,822,668,133,505,342,572,700,949,
150,196,507,975,619,007,635,768,215,876,828,349,468,969,138,667,179,735,046,
820,996,417,273,801,257,011,806,816,182,868,539,229,301,039,718,971,029,500,
670,072,957,971,118,378,472,461,326,969,529,199,576,446,094,440,563,927,638,
903,532,928,148,942,875,167,553,145,967,234,287,321,018,050,788,621,608,240,
376,180,335,999,981,686,143,301,655,106,470,390,573,215,103,320,783,773,081,
119,379,739,390,284,655,795,815,729,057,844,117,490,087,847,724,276,716,911,
097,786,996,034,050,303,614,819,341,928,697,029,999,036,847,451,936,274,636,
195,967,961,161,299,024,139,952,650,574,023,904,816,096,107,182,531,276,860,
699,533,084,672,995,078,445,741,469,925,001,123,163,415,104,167,772,483,298,
561,940,716,519,794,964,835,543,982,514,606,370,290,642,834,885,315,000,166,
845,381,519,274,026,140,226,524,761,813,048,567,183,433,366,759,110,263,180,
074,725,910,199,691,864,930,562,359,161,113,852,173,303,658,139,266,635,725,
825,053,530,897,545,498,493,587,889,356,061,319,625,511,751,585,915,303,529,
745,393,778,984,431,477,777,447,416,927,640,679,986,126,506,196,832,702,225,
649,005,793,179,267,172,638,828,846,942,760,165,145,733,827,882,198,007,268,
109,326,265,965,505,645,476,617,864,636,891,005,375,114,036,627,992,972,695,
969,564,651,913,158,027,949,761,722,719,104,338,625,304,454,782,984,915,825,
162,380,367,763,615,912,756,023,653,995,529,848,753,048,097,608,347,226,216,
114,822,537,080,433,577,695,217,605,323,912,913,265,511,551,101,187,012,071,
271,166,395,110,768,562,526,919,072,284,991,622,045,910,511,759,638,638,449,
659,733,946,343,192,596,649,119,099,128,349,977,801,985,766,300,081,940,700,
704,775,531,759,105,574,186,921,265,574,989,825,285,912,194,864,501,262,719,
076,215,320,287,195,453,987,634,808,592,438,195,438,251,097,434,970,214,324,
002,338,014,068,058,688,208,469,378,004,739,514,790,558,628,110,739,090,167,
344,770,569,685,351,268,650,094,669,966,631,329,576,478,041,350,141,085,731,
393,556,915,187,889,340,191,434,458,474,137,742,431,832,174,324,683,498,975,
126,377,263,670,878,416,489,199,116,669,804,956,976,514,181,152,420,634,861,
476,706,759,923,595,451,257,866,787,620,026,583,570,570,080,914,754,171,046,
400,514,224,715,956,778,316,129,968,742,336,975,059,009,338,363,221,726,657,
192,919,387,358,515,051,191,377,553,902,896,152,942,730,029,333,207,518,703,
951,246,958,692,985,003,997,315,855,794,785,692,443,609,271,856,893,408,731,
661,008,191,317,048,661,873,767,945,233,751,982,005,089,708,191,521,934,673,
461,188,064,626,385,263,679,142,311,478,924,354,876,867,272,892,695,449,081,
909,067,612,634,291,449,205,664,886,520,156,539,285,590,751,168,744,111,229,
532,930,226,547,008,780,775,296,478,159,195,397,171,846,562,177,010,470,973,
252,562,697,055,653,944,826,548,127,378,208,958,929,678,052,209,571,488,717,
669,652,646,797,928,365,270,301,929,853,874,619,742,632,663,286,855,563,789,
001,017,889,935,894,628,344,192,946,390,870,300,846,267,758,363,201,446,540,
401,292,860,275,567,759,576,930,453,356,465,732,605,090,204,084,708,186,211,
524,980,830,522,976,712,830,324,489,977,671,564,656,435,504,605,492,931,634,
448,375,089,343,806,837,410,086,165,012,881,580,185,300,666,577,751,215,164,
871,531,149,003,140,835,012,760,830,088,649,485,405,200,540,244,456,639,951,
768,279,127,549,425,537,176,644,338,875,456,737,966,027,128,006,836,804,988,
776,211,449,811,836,904,624,891,027,243,408,494,170,016,856,474,723,812,407,
284,343,635,357,329,670,027,689,893,442,616,763,943,379,242,333,081,706,539,
773,569,689,279,953,845,884,901,302,308,020,796,461,346,005,354,336,478,863,
694,753,086,168,226,355,373,312,322,751,216,940,726,388,947,866,251,467,567,
476,695,178,746,961,364,450,767,363,445,652,728,970,014,369,934,894,909,552,
670,364,588,864,691,254,218,818,189,048,218,177,849,999,296,199,007,291,953,
277,559,195,110,229,643,422,787,263,082,205,193,831,978,070,848,638,317,711,
591,913,989,414,854,171,392,559,578,597,245,953,406,091,372,915,255,755,083,
133,690,773,407,152,296,152,244,915,295,552,460,808,608,840,261,017,161,370,
172,303,827,906,461,190,995,254,909,024,695,007,936,031,054,241,659,872,575,
997,498,286,812,807,951,196,102,184,293,173,812,871,754,072,281,652,691,676,
646,356,392,565,602,889,391,347,025,163,388,105,736,492,548,123,916,256,867,
502,532,693,759,981,203,259,006,296,863,984,760,020,326,460,722,615,927,692,
610,274,845,808,931,486,947,265,404,959,164,254,359,431,370,670,460,902,482,
099,966,243,656,730,393,934,584,066,705,655,484,663,839,195,069,935,789,386,
771,089,190,251,321,887,052,628,044,800,461,067,137,619,546,657,532,980,625,
748,379,849,303,833,753,788,993,349,711,621,295,734,268,984,677,922,962,636,
057,024,304,870,302,129,156,750,415,113,319,462,508,070,622,959,685,051,909,
625,367,211,572,289,801,169,520,702,473,143,934,659,189,055,277,329,399,838,
939,938,952,497,341,951,936,360,647,598,559,367,516,214,717,565,439,931,775,
919,438,021,865,828,191,422,459,738,741,377,129,212,947,354,334,896,277,344,
238,375,647,219,535,140,852,241,590,266,713,979,086,582,968,520,334,033,840,
589,707,167,801,831,805,033,994,320,043,496,918,796,019,693,317,388,711,326,
950,582,167,240,835,378,413,626,827,574,085,597,696,040,736,051,978,860,641,
409,370,240,528,945,241,365,173,388,689,542,368,796,464,980,868,265,939,557,
410,611,201,007,410,355,713,638,992,846,420,471,136,714,129,478,054,891,968,
999,309,415,848,859,121,728,747,955,819,918,588,492,059,064,947,337,488,423,
725,502,303,708,996,893,308,380,988,509,352,290,617,555,687,847,539,358,991,
387,355,111,778,243,757,967,670,647,338,505,847,669,551,836,449,496,316,488,
234,196,185,365,240,904,862,925,573,778,266,360,894,408,811,437,996,487,657,
093,852,584,087,254,385,253,137,568,097,794,473,035,694,795,670,378,771,739,
124,561,483,875,499,652,958,797,733,523,106,928,255,247,017,485,919,128,351,
857,567,202,403,609,668,378,283,893,438,497,156,817,530,018,574,663,496,544,
182,671,504,395,908,401,053,304,932,623,572,702,385,675,135,936,667,926,915,
649,086,177,786,370,056,701,380,791,748,406,163,673,794,548,054,668,083,094,
684,098,156,474,534,129,585,193,397,637,340,201,054,413,533,125,211,849,449,
668,756,670,258,772,064,434,812,567,239,251,340,109,741,184,223,602,313,884,
126,468,847,941,076,646,358,643,378,311,639,258,465,126,915,373,036,672,280,
496,013,615,503,112,552,668,072,069,815,068,058,385,145,456,002,645,480,290,
881,113,462,554,513,225,946,532,137,265,801,671,848,984,219,867,945,049,093,
631,828,002,633,957,946,112,940,824,957,280,845,525,106,900,423,712,515,279,
876,597,639,349,246,523,052,436,715,189,211,826,126,847,444,816,096,784,075,
303,919,982,242,490,633,746,658,304,887,572,286,731,868,773,637,386,717,712,
311,507,548,754,327,986,607,036,698,676,017,565,396,347,736,415,910,757,828,
525,236,254,907,662,678,131,626,999,473,476,916,069,156,013,394,045,602,047,
445,924,423,210,450,565,549,842,040,659,703,192,639,353,396,188,139,356,334,
111,345,649,275,863,642,056,028,911,211,082,007,533,430,770,739,921,660,957,
680,907,968,915,581,687,418,535,905,152,315,510,756,122,831,639,464,331,162,
398,231,589,618,649,020,722,660,567,456,854,149,270,256,389,695,015,467,576,
957,166,677,046,397,804,186,527,994,836,476,941,677,092,810,364,215,758,760,
154,593,815,211,516,556,638,645,529,894,781,617,939,946,596,171,061,392,353,
848,137,750,694,974,390,447,713,062,400,236,726,331,823,267,312,291,274,619,
526,814,314,796,495,496,779,228,767,857,880,085,024,999,394,499,969,071,181,
118,121,182,731,300,123,325,272,758,565,873,197,167,093,447,514,125,349,920,
241,816,058,258,997,456,194,246,070,166,292,502,790,428,826,393,972,408,210,
698,344,128,309,733,004,145,288,987,841,579,018,941,777,098,678,733,542,578,
714,644,279,750,538,427,499,900,576,066,350,675,650,153,869,179,547,929,436,
783,698,390,513,630,373,501,478,340,518,516,249,274,958,211,336,231,341,722,
533,261,359,703,820,959,720,999,739,074,236,982,350,011,819,923,828,353,376,
316,423,321,244,774,414,115,995,862,373,500,034,365,441,980,854,405,805,101,
857,701,324,953,846,849,940,132,154,068,336,946,987,075,125,583,353,386,840,
371,822,151,920,801,286,283,455,239,099,567,245,910,182,616,799,539,403,457,
097,499,882,506,127,153,157,838,960,960,343,354,135,307,620,076,370,695,501,
017,690,818,967,852,211,321,344,035,717,588,329,045,685,082,847,541,050,547,
255,685,707,838,239,112,424,378,574,225,851,267,578,071,434,281,059,012,520,
733,134,557,502,032,745,282,189,311,963,101,918,497,910,386,460,122,413,660,
173,892,324,894,879,211,376,646,334,815,751,913,638,343,447,091,112,401,216,
294,486,458,875,966,287,497,786,767,388,358,270,453,261,580,448,647,118,272,
696,446,942,791,216,262,140,104,280,994,542,508,323,097,206,910,558,319,615,
722,119,577,650,976,611,096,742,022,625,297,136,529,722,341,020,654,656,692,
499,023,302,232,981,383,208,750,908,830,759,742,236,540,123,127,958,972,372,
614,677,291,949,910,642,453,886,790,988,247,748,161,651,257,443,195,251,729,
824,498,320,233,122,415,962,013,288,387,051,061,569,425,482,092,403,665,603,
537,233,834,477,865,531,090,154,851,027,405,008,910,895,675,487,331,834,694,
513,350,728,736,331,973,688,745,163,927,670,965,369,181,920,897,701,956,309,
668,464,326,692,476,758,681,857,190,305,381,456,960,978,516,287,271,352,265,
990,727,534,292,470,623,992,878,291,165,593,489,636,256,285,886,762,063,382,
622,437,384,670,746,446,996,892,687,240,714,349,009,968,041,784,169,925,716,
166,635,057,486,521,009,799,096,966,676,337,534,396,686,802,346,504,162,781,
789,782,664,637,883,342,348,322,384,044,123,585,610,815,105,722,375,433,409,
827,748,778,609,948,213,065,438,459,448,245,301,930,371,545,712,981,882,732,
562,646,208,963,877,956,377,335,050,073,536,821,327,746,750,552,783,435,280,
907,104,398,678,404,981,253,990,977,057,024,948,301,764,838,208,955,013,558,
076,279,435,649,737,098,401,856,559,615,038,344,863,151,755,500,959,266,969,
834,675,017,028,185,428,004,411,980,216,449,770,559,885,834,184,450,132,213,
338,225,139,197,371,226,932,425,137,241,232,989,334,796,464,867,983,015,171,
626,636,833,810,728,093,633,473,466,990,876,677,617,136,054,255,194,699,857,
390,217,371,949,501,247,575,566,183,371,498,447,600,831,561,570,057,570,745,
344,871,045,778,144,241,418,031,721,519,094,781,530,582,008,295,670,777,823,
219,521,399,790,883,223,077,668,040,572,185,882,446,235,884,126,014,440,129,
914,469,778,056,066,517,387,057,920,874,462,168,522,456,309,793,285,229,051,
405,458,596,106,951,890,982,419,085,631,397,856,754,948,686,557,414,002,248,
627,181,714,487,738,021,765,260,923,279,866,842,939,982,349,112,068,861,926,
601,544,836,817,532,546,470,184,406,692,239,573,194,938,568,593,382,000,382,
565,834,810,267,884,355,942,167,001,029,852,997,036,631,258,310,658,624,701,
314,527,989,518,840,276,134,616,643,508,330,595,564,226,783,464,764,778,597,
795,260,307,381,028,140,860,133,800,114,346,850,797,853,883,968,063,998,536,
678,357,669,865,609,907,356,754,210,342,089,687,293,690,812,922,036,381,975,
283,343,408,324,720,383,184,741,509,670,519,102,936,406,095,632,754,584,358,
294,191,708,626,602,243,195,448,112,594,202,028,981,334,024,679,371,047,475,
654,676,981,540,597,465,505,286,954,707,833,019,553,944,150,262,873,062,410,
074,284,617,009,124,580,711,991,914,838,274,411,057,875,397,154,664,019,008,
700,289,942,595,302,406,474,868,065,924,859,165,041,062,733,983,051,348,133,
970,274,679,069,128,100,422,401,017,612,151,369,053,474,804,280,430,737,719,
564,141,620,796,547,628,548,566,939,030,180,217,910,149,520,539,452,688,968,
668,592,197,012,908,770,458,925,774,777,694,778,826,456,482,386,602,908,750,
415,925,315,098,147,401,581,817,684,264,659,487,572,037,838,053,051,172,626,
721,097,282,349,231,349,828,440,214,942,110,085,133,431,565,523,829,174,597,
425,309,366,045,883,988,215,443,655,737,831,685,005,695,044,026,619,482,358,
639,310,829,332,039,866,325,397,298,134,342,482,800,901,333,703,624,910,086,
145,818,099,675,195,948,627,489,998,648,143,229,603,908,211,942,596,484,139,
755,793,170,939,719,028,021,447,542,267,105,011,785,758,784,131,704,381,444,
311,673,504,116,615,833,401,546,769,810,343,357,694,798,127,917,037,493,735,
614,089,615,190,004,372,931,121,115,490,600,079,335,186,795,695,292,529,662,
931,738,882,943,901,887,194,761,241,257,585,372,899,734,917,058,152,425,076,
678,358,520,738,113,607,097,264,939,777,957,905,463,987,964,802,177,076,106,
769,225,579,996,459,458,203,503,075,927,767,702,596,864,366,237,613,654,933,
589,151,403,450,929,294,590,578,054,312,926,178,808,386,347,202,661,830,716,
974,186,874,283,670,112,370,181,504,348,176,689,317,950,157,798,497,777,518,
904,960,384,827,946,057,379,650,333,248,024,808,400,643,906,503,427,108,742,
350,268,653,413,139,410,042,150,935,702,423,604,572,778,349,033,773,956,856,
439,040,572,303,976,689,947,791,558,221,416,210,250,765,522,233,357,390,997,
079,925,041,715,197,230,319,042,320,163,492,122,534,378,792,017,405,106,305,
682,995,016,014,336,861,485,572,382,622,620,829,145,874,058,346,489,575,819,
105,724,585,586,641,502,227,363,366,184,015,616,602,818,081,885,012,686,950,
418,878,494,415,945,227,464,721,367,258,388,835,664,268,300,009,611,861,358,
368,367,136,598,337,659,585,999,049,691,330,289,607,979,012,226,072,196,697,
663,926,611,350,906,115,342,192,332,594,879,966,344,772,571,897,229,791,455,
038,038,884,225,461,034,105,384,936,941,497,647,906,329,590,925,732,524,222,
972,510,953,614,396,729,939,700,991,064,471,358,595,765,865,844,221,100,364,
684,980,001,959,541,459,286,010,556,290,257,139,493,859,049,675,308,527,169,
667,246,360,844,452,126,340,344,666,492,339,612,361,773,547,560,610,751,194,
231,486,312,074,479,998,060,538,084,139,139,231,148,139,371,780,074,396,582,
931,798,336,769,894,339,170,776,795,103,868,662,264,696,025,581,708,220,757,
427,439,899,234,097,174,722,103,228,735,839,613,729,960,233,416,955,101,993,
974,027,018,644,080,388,732,469,381,739,535,945,520,739,244,613,234,478,111,
563,483,053,919,852,650,248,128,728,445,191,529,899,845,827,569,041,805,667,
100,682,754,626,003,659,322,188,190,708,218,843,818,117,127,876,250,334,700,
701,967,135,461,541,408,955,491,303,462,490,883,008,446,265,463,973,664,136,
189,840,214,534,624,198,076,217,888,354,106,856,287,237,146,861,287,420,576,
159,792,518,095,134,711,325,164,154,133,251,921,919,507,044,988,196,602,523,
487,335,221,153,685,431,293,382,268,769,947,597,519,784,327,073,545,746,592,
344,725,591,734,718,008,478,695,866,902,358,208,885,313,564,525,812,492,709,
837,051,172,241,696,486,824,896,746,899,721,072,505,968,185,102,888,346,600,
877,112,211,634,057,381,829,245,406,207,386,142,646,425,380,789,551,416,841,
412,268,376,346,694,801,802,613,387,046,330,209,835,229,891,427,654,404,539,
679,642,296,582,723,464,301,315,833,104,829,135,956,026,374,249,020,510,858,
900,818,193,701,734,692,762,877,114,206,101,906,351,972,038,477,640,891,690,
495,889,499,096,014,867,147,820,851,876,105,980,741,556,507,907,710,656,077,
877,711,423,813,430,332,442,084,173,411,111,269,500,867,138,460,133,223,464,
217,790,122,587,543,082,799,881,401,015,771,156,743,557,955,568,489,865,884,
822,656,507,804,014,253,323,800,366,088,879,736,873,739,945,222,960,597,469,
584,225,397,830,304,234,955,874,073,528,750,136,494,434,520,191,107,826,959,
506,249,736,294,559,394,290,887,877,903,105,769,215,382,915,389,391,167,284,
471,790,472,020,396,699,328,741,835,054,934,205,231,785,032,134,263,791,436,
232,835,657,550,200,422,306,259,155,953,960,685,367,220,779,642,092,592,686,
975,394,751,830,031,444,340,944,914,045,717,239,278,258,386,055,266,640,396,
206,485,038,344,742,114,633,405,308,814,778,473,034,431,884,455,071,222,712,
290,560,622,048,664,824,905,807,300,124,083,047,800,716,746,622,909,087,803,
310,716,618,879,330,356,118,818,754,499,865,377,441,542,343,673,765,838,091,
456,381,131,363,568,577,625,322,909,642,221,145,617,532,884,375,175,879,229,
567,373,461,937,871,394,886,768,697,350,676,527,978,687,953,923,652,531,429,
078,494,933,748,366,930,387,002,911,648,357,221,351,118,831,578,797,509,915,
664,257,646,158,267,123,757,824,642,806,691,773,730,162,442,392,896,434,177,
108,878,791,673,135,907,279,713,729,121,845,862,756,580,817,646,572,303,126,
198,484,975,794,189,607,329,383,031,441,293,473,774,769,684,762,501,019,846,
403,666,424,321,225,717,612,280,993,551,216,970,504,257,905,711,309,987,772,
229,793,367,490,180,784,685,659,340,136,799,050,312,858,686,701,038,016,241,
545,561,405,243,791,911,335,936,855,493,419,178,690,943,566,385,546,725,963,
969,682,048,543,662,581,017,663,394,760,648,231,584,245,025,301,951,360,676,
061,185,548,010,749,692,121,444,395,420,016,260,662,582,484,448,688,172,524,
779,726,623,053,086,995,388,197,195,227,687,526,027,737,871,079,140,561,302,
268,874,710,360,235,171,002,319,661,812,549,330,007,287,992,808,675,296,963,
704,201,328,766,337,861,540,016,976,640,277,915,336,230,548,783,964,683,374,
889,187,544,609,204,449,029,886,907,136,093,352,550,603,603,109,395,590,431,
929,271,571,721,635,688,481,852,685,277,586,152,665,878,122,428,884,700,052,
775,715,579,400,158,093,308,066,418,131,989,896,459,353,064,464,389,635,527,
805,572,204,577,514,873,485,542,747,147,301,084,700,677,259,880,954,769,985,
998,285,308,098,903,522,654,215,895,417,524,501,364,338,074,923,076,970,671,
956,287,526,924,153,549,455,055,271,637,757,643,090,491,530,142,231,081,557,
308,988,953,235,815,260,436,704,519,501,417,366,109,604,329,494,334,698,689,
106,590,642,941,546,669,380,794,229,031,237,316,393,156,980,511,471,448,546,
858,431,460,639,477,143,153,076,566,454,934,535,143,883,377,576,511,938,177,
184,805,082,795,149,472,121,139,048,885,168,148,308,257,455,902,163,657,697,
394,603,770,718,105,539,701,037,764,974,175,779,981,262,625,055,797,882,474,
539,607,474,520,765,842,483,440,145,365,314,194,815,831,805,837,820,234,364,
462,731,286,915,792,187,467,492,797,871,095,831,483,025,937,944,783,320,822,
478,553,749,473,422,757,977,643,312,923,140,402,266,871,650,018,614,572,967,
358,519,847,091,014,277,700,210,963,862,674,364,228,875,071,155,243,116,285,
256,642,154,977,878,433,312,465,637,435,203,305,611,489,936,630,714,220,022,
458,250,136,414,540,377,356,845,523,664,893,321,767,567,811,213,100,267,205,
482,544,228,374,058,854,585,161,668,926,066,443,944,029,036,479,323,979,289,
371,794,213,963,526,082,524,166,967,297,672,003,113,659,503,952,590,885,393,
722,751,268,120,243,390,624,564,974,289,006,924,605,374,802,120,886,331,745,
151,413,062,908,403,407,461,581,139,675,890,530,533,979,631,203,742,463,668,
793,045,954,142,981,266,314,778,821,277,590,803,531,802,737,416,552,163,101,
482,039,024,016,201,844,613,891,973,372,304,344,815,729,388,142,201,700,172,
459,895,665,716,895,129,973,307,615,164,480,684,839,369,464,399,262,465,808,
507,141,445,126,503,766,115,517,670,252,658,671,822,298,445,359,379,970,414,
808,219,089,299,313,124,502,619,464,383,737,183,326,531,398,726,818,715,360,
661,324,028,109,650,707,368,949,564,814,669,731,741,211,720,225,538,915,275,
853,285,390,863,687,178,435,855,671,208,316,757,522,854,637,193,853,218,705,
834,058,857,760,708,007,514,407,237,157,334,262,138,575,702,857,286,783,948,
045,483,325,643,423,827,079,615,145,566,496,646,189,774,805,990,378,232,025,
133,325,714,390,540,780,790,381,986,186,340,644,059,534,477,402,362,523,225,
241,734,437,469,916,758,381,074,419,435,247,027,656,908,371,987,656,905,573,
391,027,158,147,403,632,747,566,064,582,345,489,144,745,192,167,426,696,817,
380,997,710,419,884,273,903,465,677,561,892,935,658,967,167,165,922,197,110,
111,390,147,851,716,741,145,431,439,034,267,027,282,550,951,860,628,612,370,
146,104,233,693,713,034,979,104,855,467,772,596,632,463,073,313,999,090,353,
312,554,462,690,348,208,336,349,806,618,367,221,455,069,527,240,064,979,113,
419,221,978,740,465,287,816,492,163,862,548,875,403,806,350,401,531,466,481,
715,659,248,373,695,804,076,144,810,516,953,488,150,633,753,865,766,615,533,
488,906,809,249,489,997,150,754,546,416,764,886,150,928,748,240,107,909,917,
501,648,653,557,624,848,539,322,397,965,248,563,612,648,822,629,654,493,355,
214,270,798,024,130,467,901,898,111,224,821,355,989,061,294,167,877,069,374,
315,732,225,567,223,146,300,425,288,646,200,460,333,446,087,337,222,927,449,
966,867,583,588,736,857,328,810,630,266,630,611,409,424,114,617,333,052,539,
390,288,295,689,740,588,162,530,569,447,036,987,196,576,347,330,807,004,886,
181,676,660,124,018,025,688,311,098,541,108,769,543,275,991,503,148,263,450,
857,697,743,104,641,914,210,381,033,896,452,280,222,650,101,613,805,066,374,
023,454,761,591,118,298,680,043,971,604,247,991,357,891,372,161,437,214,785,
205,582,432,460,748,332,872,558,991,713,566,820,690,956,144,950,330,211,373,
300,223,792,664,211,525,808,707,749,271,410,913,426,700,900,246,919,704,230,
196,349,151,577,756,492,436,520,937,226,771,185,247,981,777,303,000,642,170,
100,116,690,886,655,504,361,668,029,626,744,393,224,609,140,636,889,571,519,
071,614,866,122,025,710,465,415,190,251,094,388,185,792,642,690,743,338,113,
033,645,210,574,618,822,874,576,941,261,093,563,666,443,522,067,539,725,083,
103,644,692,832,151,416,233,119,437,287,293,536,096,047,290,035,654,802,810,
738,329,904,537,978,853,844,404,182,269,968,633,605,150,744,031,975,783,910,
029,506,501,591,524,709,599,494,705,390,281,465,296,552,665,879,100,509,703,
338,872,781,052,822,827,271,408,617,365,787,072,454,069,729,215,178,064,912,
250,469,947,104,198,710,755,791,467,673,898,551,963,484,274,247,394,093,053,
737,540,848,019,096,913,903,712,527,511,273,113,766,252,369,793,404,006,292,
253,187,489,404,671,704,632,844,759,853,007,767,688,216,622,114,714,891,846,
939,938,921,878,270,823,287,803,677,697,399,755,916,179,611,133,656,012,848,
663,019,271,098,663,951,976,919,159,383,683,283,755,803,669,466,252,167,583,
769,147,854,342,417,472,674,665,068,817,371,107,756,383,456,333,348,962,890,
039,482,565,922,725,120,169,632,618,867,864,781,467,218,732,842,017,603,532,
753,853,303,481,775,430,048,250,281,032,221,999,463,446,035,716,082,309,560,
369,482,531,225,113,756,278,946,271,840,335,840,594,346,653,974,704,904,194,
232,532,066,763,341,301,949,250,627,332,079,146,289,325,890,574,031,198,977,
637,649,858,324,394,767,912,004,619,018,937,426,136,957,422,670,757,387,336,
044,487,739,523,877,289,719,679,711,321,829,851,052,323,830,125,740,346,603,
257,454,264,451,311,199,802,122,190,597,438,194,365,843,778,998,225,027,636,
261,129,858,598,338,549,570,334,131,345,981,259,574,430,668,467,923,527,035,
678,028,796,670,394,676,677,232,855,595,096,001,593,686,586,198,495,378,775,
338,445,385,754,007,127,835,637,936,848,836,746,199,741,676,319,125,689,461,
880,140,719,272,062,115,477,050,550,617,135,456,696,843,722,378,247,733,630,
664,120,373,472,532,941,118,334,605,779,396,562,104,474,888,055,232,325,584,
267,204,948,637,747,060,239,395,993,901,309,425,356,190,681,222,789,632,008,
280,504,430,460,491,149,140,652,133,272,736,809,713,878,229,609,376,645,028,
357,572,899,021,287,098,026,160,782,546,836,374,880,927,756,082,001,451,369,
272,635,167,880,300,072,306,644,250,095,216,748,197,615,973,590,375,290,387,
163,347,570,658,592,612,819,009,233,816,303,035,845,059,767,563,030,987,509,
894,835,693,444,825,817,942,808,717,846,703,989,945,574,899,189,467,313,184,
835,498,359,251,162,315,644,419,590,232,957,038,255,961,146,460,227,123,292,
619,211,458,030,719,665,236,277,981,717,970,284,657,555,015,200,596,857,761,
965,322,670,051,349,687,318,109,280,936,571,284,092,015,534,965,163,860,341,
458,306,605,372,897,661,236,847,476,795,496,108,146,104,480,064,143,581,143,
897,900,287,352,276,669,781,868,621,893,108,304,156,100,888,481,543,355,659,
075,068,618,620,034,974,218,974,807,928,758,472,814,721,320,499,324,919,324,
959,171,945,303,172,326,319,034,475,072,024,127,399,260,360,700,448,151,418,
782,369,644,814,109,372,203,293,704,860,663,830,914,386,688,431,543,841,986,
671,334,239,026,687,813,877,519,291,907,605,051,082,882,445,332,390,426,442,
759,531,610,718,551,195,034,316,701,523,542,080,521,441,007,406,038,625,057,
141,208,576,762,132,446,584,903,255,862,623,012,425,226,921,374,798,986,367,
715,922,558,792,345,992,047,670,043,889,482,321,386,023,585,133,203,306,702,
816,800,622,420,581,051,034,072,681,251,624,806,884,371,141,366,992,584,503,
580,586,018,917,893,976,471,600,590,367,135,887,270,992,471,061,473,654,903,
489,575,798,363,004,885,329,269,969,184,173,381,819,922,051,713,853,988,664,
807,614,814,851,647,614,596,491,620,008,818,865,506,650,576,679,131,746,614,
808,749,664,999,618,095,823,914,607,025,934,162,512,514,672,163,890,909,296,
634,040,979,170,070,635,122,738,923,745,114,785,692,005,903,376,913,535,971,
337,320,837,521,437,624,308,367,717,877,349,775,209,949,924,883,675,304,607,
200,266,385,587,702,126,896,741,471,879,868,472,385,725,492,407,649,362,138,
138,016,674,116,899,042,508,504,562,627,133,123,069,247,262,090,501,904,072,
215,390,836,515,016,041,817,557,193,040,361,214,607,285,576,560,558,279,972,
585,465,353,201,702,163,649,970,880,027,824,382,033,050,695,883,124,207,047,
335,359,597,491,176,722,883,382,038,904,564,081,281,519,538,561,459,249,684,
820,981,201,894,928,404,435,442,865,605,486,424,716,316,579,300,943,964,284,
534,404,345,645,287,808,423,215,130,778,631,488,898,520,650,239,276,516,964,
952,324,466,797,126,540,903,814,622,017,278,319,161,088,377,732,892,362,851,
792,570,474,186,058,316,086,074,443,487,300,887,930,567,720,440,739,072,335,
046,484,708,387,918,632,836,553,914,255,045,281,639,753,955,897,747,680,291,
516,821,129,350,579,539,485,154,511,911,050,581,493,201,202,057,786,502,950,
138,624,468,908,067,440,270,675,953,073,029,793,357,394,348,383,989,382,356,
387,371,013,807,854,296,388,026,105,969,149,137,790,300,666,472,534,304,555,
729,140,130,027,527,018,127,926,005,993,585,470,956,091,474,433,563,197,536,
652,493,871,125,209,794,614,150,568,764,153,891,688,700,657,786,972,006,473,
607,998,761,312,697,658,801,463,921,678,586,476,477,504,616,381,103,221,469,
090,246,719,624,320,682,052,190,852,052,037,245,920,679,267,024,133,000,345,
085,908,078,534,197,258,836,625,578,774,673,978,441,950,440,601,052,349,654,
965,936,788,582,714,097,256,198,017,147,328,117,467,830,584,475,763,054,840,
170,687,676,640,790,573,521,659,905,169,229,532,223,426,092,017,269,062,349,
353,481,254,082,948,566,330,125,966,876,452,649,482,806,946,330,298,537,743,
730,470,320,626,791,251,748,340,375,695,109,027,702,689,696,103,705,491,825,
430,450,696,597,575,379,051,982,705,870,108,944,409,365,349,683,940,196,272,
145,236,821,697,490,942,289,442,892,073,928,491,014,240,691,149,148,531,566,
767,595,261,367,282,988,575,209,947,635,174,682,302,362,606,457,112,456,714,
256,595,118,154,352,903,698,105,587,930,622,126,767,508,727,004,633,760,908,
133,804,159,491,834,733,426,550,801,705,223,778,900,589,212,871,481,323,654,
509,615,007,491,219,465,178,202,479,424,527,338,803,053,400,855,433,935,968,
825,474,336,601,781,786,002,886,168,577,131,707,529,049,172,712,489,987,351,
229,657,888,371,352,679,469,738,557,829,056,519,354,292,204,916,541,045,976,
342,786,822,563,634,925,421,995,235,423,647,307,719,840,591,495,010,257,505,
776,166,141,183,559,548,675,736,950,583,973,823,359,644,219,833,361,141,247,
610,109,414,964,415,844,438,816,316,286,735,534,964,468,661,840,571,925,703,
040,870,473,599,756,867,437,130,887,353,669,169,455,668,482,707,529,775,701,
220,158,138,095,163,313,159,796,470,191,791,833,496,545,717,802,085,892,833,
725,737,436,890,831,538,203,536,057,914,032,596,999,449,810,881,868,626,858,
584,484,560,424,557,870,110,394,437,727,748,683,930,174,348,280,346,035,852,
073,979,654,676,375,353,489,777,326,400,227,475,102,144,407,447,323,218,199,
079,823,578,341,391,359,851,841,849,683,669,248,329,730,227,133,913,782,297,
290,548,862,600,479,902,840,817,542,080,052,250,538,589,071,771,948,246,231,
220,299,271,116,774,978,681,058,860,267,545,942,796,186,371,126,155,173,137,
675,702,573,361,077,223,717,851,804,836,711,392,159,202,259,938,488,721,503,
499,587,889,704,363,105,872,549,662,259,958,836,143,907,667,240,190,574,337,
056,371,500,248,189,782,357,958,147,086,345,001,964,461,373,720,821,478,104,
861,836,513,769,615,512,466,712,774,022,556,655,524,133,891,178,391,906,847,
471,639,424,331,018,395,672,826,427,827,976,558,966,905,308,144,621,192,820,
383,544,842,977,535,074,741,187,833,776,495,606,622,636,084,264,003,185,993,
612,376,583,516,179,083,164,218,600,935,386,670,173,795,356,288,480,446,493,
460,296,979,694,453,546,012,392,271,080,011,726,549,942,031,812,247,877,518,
455,285,860,690,864,738,939,757,458,790,671,016,725,284,974,029,481,543,034,
500,167,159,544,468,256,338,215,385,750,054,239,604,782,708,185,480,186,556,
529,320,728,013,664,733,579,155,375,092,745,839,024,073,085,093,671,781,166,
545,294,211,446,808,258,871,468,534,163,345,968,149,475,890,979,130,018,901,
783,091,049,257,614,680,535,944,097,059,788,931,145,252,698,089,870,129,260,
336,119,363,339,281,635,621,432,233,119,645,695,276,874,442,492,346,700,096,
804,739,754,978,306,541,064,414,540,381,819,627,853,381,550,040,155,020,239,
008,096,458,905,723,846,877,225,454,855,525,442,383,917,874,864,535,300,665,
991,950,849,480,066,987,463,052,960,984,095,571,611,589,124,257,700,574,213,
002,910,811,964,361,447,721,155,324,543,982,655,311,285,044,656,771,391,083,
076,473,248,630,145,485,278,379,726,544,072,415,170,991,258,207,162,012,284,
704,452,531,619,083,510,451,862,679,284,481,060,636,165,757,124,642,152,374,
038,692,060,987,317,385,776,980,952,539,084,918,947,088,502,446,178,185,729,
943,981,049,346,908,789,050,270,946,778,741,709,478,964,331,646,662,602,774,
393,830,072,968,052,600,912,145,294,876,764,630,647,285,710,335,409,710,784,
914,068,685,624,077,704,255,790,385,863,003,412,056,340,546,147,929,646,937,
705,877,994,406,628,741,925,395,350,916,450,655,271,562,182,242,001,191,013,
363,751,589,357,205,880,401,952,474,917,225,426,918,203,331,831,893,143,572,
067,009,008,915,163,153,810,406,258,771,833,217,914,788,318,892,835,928,360,
606,754,445,672,490,115,447,447,915,731,811,643,392,789,564,037,947,594,400,
711,097,411,755,839,742,136,047,122,357,880,411,894,213,722,392,176,768,230,
253,596,507,533,108,508,627,261,267,140,163,461,380,664,084,834,561,904,132,
623,029,508,328,944,109,397,188,123,188,065,395,198,356,519,079,866,828,948,
324,561,847,632,949,177,313,003,010,574,280,090,921,944,238,616,324,775,410,
492,249,433,699,381,023,740,547,777,335,103,025,234,668,870,823,979,243,174,
955,765,646,863,921,123,457,624,854,300,966,175,438,261,094,365,804,587,164,
375,042,337,236,275,056,349,190,809,562,653,659,403,489,271,248,549,899,380,
329,394,457,952,020,130,283,855,829,693,018,006,617,553,171,358,177,682,153,
459,350,451,196,979,645,415,903,183,967,133,850,037,933,072,621,454,428,780,
092,354,347,651,911,232,049,241,988,055,885,977,951,930,896,296,938,353,255,
026,117,719,178,370,868,428,846,284,764,970,149,792,942,977,208,181,860,018,
568,096,275,472,367,898,852,594,446,950,971,483,028,777,264,170,282,623,605,
084,058,005,977,555,159,542,738,429,318,305,260,338,483,184,072,943,429,562,
589,895,904,504,948,331,497,440,776,646,680,762,069,054,033,464,820,356,947,
916,236,429,577,809,398,212,481,912,346,943,893,066,402,093,262,989,265,678,
949,459,034,857,374,830,943,359,083,238,530,528,950,269,561,812,214,338,013,
877,688,451,936,313,157,272,077,248,167,776,071,283,474,851,929,060,907,174,
549,514,112,117,286,452,654,631,419,444,397,666,913,506,443,585,770,648,022,
741,334,831,920,943,361,023,253,139,417,855,081,523,577,786,508,545,138,736,
493,812,060,844,748,136,681,934,410,756,604,108,942,825,743,781,144,750,213,
849,483,659,385,037,190,953,464,160,427,333,072,979,889,227,009,390,429,134,
646,278,547,911,452,773,824,983,363,332,746,225,680,294,804,262,834,177,153,
261,513,554,750,585,772,936,660,484,742,676,865,721,524,927,380,762,784,377,
516,419,854,151,860,939,191,683,933,532,193,289,524,614,293,585,784,289,743,
133,663,959,461,061,475,622,043,730,274,574,050,851,876,596,416,754,015,439,
797,389,848,408,804,358,614,706,860,775,956,107,391,472,769,618,964,405,443,
729,350,830,516,680,508,900,459,460,136,189,624,002,141,274,675,228,330,969,
022,685,957,452,743,115,655,049,128,476,126,529,111,725,252,184,720,181,662,
047,607,930,027,946,434,991,813,128,026,374,522,522,645,796,943,236,789,576,
275,682,895,907,600,196,523,760,238,006,344,610,073,536,434,430,685,328,601,
792,173,553,428,152,151,666,214,151,466,313,957,974,748,328,566,647,720,828,
604,377,499,598,291,671,173,668,004,065,360,380,068,850,440,198,600,512,544,
903,600,479,181,317,536,469,668,922,332,897,941,530,774,064,538,159,646,651,
803,005,550,052,190,678,838,163,094,337,219,833,799,142,188,287,611,130,334,
970,152,525,400,405,928,898,481,088,446,096,575,048,544,991,581,255,617,862,
716,876,327,674,310,838,177,302,259,474,307,366,440,985,929,313,966,941,921,
196,648,350,151,846,514,511,409,177,838,751,425,727,619,380,478,636,342,507,
626,560,062,837,964,945,586,645,540,347,477,713,198,887,182,298,106,340,354,
632,285,228,947,325,249,600,240,454,062,439,151,033,357,972,880,523,249,590,
972,132,562,411,840,937,021,346,269,801,163,932,166,384,709,193,700,445,121,
555,687,120,228,621,427,859,862,765,699,761,249,233,454,212,991,288,013,665,
646,038,861,223,431,732,923,870,448,111,950,168,095,662,298,636,691,940,566,
309,547,602,273,427,301,747,475,653,660,805,805,328,569,966,247,144,788,730,
507,341,772,064,955,045,762,459,861,564,811,039,601,318,094,365,514,553,616,
435,593,872,395,978,759,345,311,017,191,003,800,385,825,930,488,172,653,153,
093,662,617,889,698,749,410,140,939,066,303,861,554,683,616,466,838,074,767,
712,384,717,578,299,619,500,524,142,798,151,456,494,984,259,764,417,388,992,
616,006,648,671,281,845,876,773,818,654,839,209,822,026,029,614,075,591,954,
483,080,468,845,069,180,870,280,010,046,589,042,990,336,653,454,798,543,062,
377,092,497,092,647,272,928,221,636,839,053,343,924,929,349,786,495,653,813,
462,475,824,471,055,760,358,462,174,796,605,632,625,262,141,852,218,614,060,
077,997,607,583,413,253,198,681,098,515,332,668,379,051,696,063,767,144,037,
911,931,106,739,526,654,527,781,242,839,865,449,773,942,536,681,184,886,854,
426,904,265,546,383,990,488,926,215,825,653,789,770,028,297,009,172,074,027,
876,528,716,028,730,973,105,325,981,526,855,449,584,237,784,684,253,837,464,
012,346,087,626,169,224,812,873,797,261,898,807,752,769,336,050,440,551,674,
567,868,696,536,170,020,356,904,143,966,219,120,032,576,998,780,636,937,449,
846,563,074,888,806,021,591,566,298,955,650,383,880,712,991,378,867,054,168,
504,129,914,833,220,934,532,516,710,180,796,752,849,050,203,854,952,942,303,
056,224,615,451,352,614,237,900,635,040,987,405,136,342,306,896,940,561,901,
971,556,345,202,990,471,331,033,727,140,873,261,390,834,433,042,942,012,595,
704,998,187,825,076,098,560,226,092,648,397,085,376,906,576,598,689,880,384,
855,997,824,911,633,224,483,582,941,371,952,401,636,136,367,599,070,930,212,
409,829,413,995,501,734,020,927,803,723,567,530,425,111,368,475,588,982,838,
842,623,241,871,636,040,053,827,719,020,868,329,917,927,306,987,351,569,383,
480,971,944,120,396,740,155,277,652,925,288,118,575,958,445,532,913,347,083,
172,440,177,659,179,377,666,152,295,953,685,281,481,370,129,573,911,330,584,
295,277,532,319,240,303,037,824,134,773,986,438,226,047,355,060,662,896,900,
398,579,525,094,319,774,124,914,961,023,939,136,059,450,228,500,672,747,144,
845,132,315,941,070,115,148,902,849,706,768,204,988,994,286,862,235,990,605,
551,895,871,257,132,975,890,454,160,683,740,355,010,696,839,390,860,248,767,
922,379,836,142,411,671,529,442,598,265,398,039,681,000,825,864,442,766,118,
742,226,656,351,489,886,132,983,462,152,303,526,509,346,555,218,579,883,859,
222,504,853,062,242,671,976,599,082,270,745,309,783,430,046,120,614,145,502,
538,354,819,624,506,884,459,249,587,598,625,245,654,479,407,987,385,534,783,
298,379,458,764,123,648,709,418,042,398,673,982,955,448,725,529,622,803,570,
486,509,856,716,945,079,007,898,924,916,147,103,841,282,953,113,032,229,027,
903,470,549,282,051,551,658,871,930,804,728,306,896,682,670,602,615,878,978,
626,062,392,026,168,778,145,606,708,197,928,955,283,842,220,419,358,098,221,
955,611,501,527,831,022,381,739,391,822,297,286,737,033,013,659,698,193,998,
462,631,890,649,231,187,440,616,828,532,543,612,776,374,593,706,238,896,944,
187,172,562,532,953,649,570,314,433,320,487,238,370,909,941,368,580,623,944,
304,788,848,603,905,903,137,236,752,731,085,217,892,862,416,385,914,890,542,
429,646,929,204,285,031,150,437,321,828,398,835,628,614,730,454,411,610,928,
586,945,700,150,948,305,947,703,525,796,175,833,905,686,904,741,342,741,605,
456,345,710,341,101,841,136,622,342,793,690,530,016,868,825,751,626,445,533,
509,746,517,896,577,012,713,437,771,754,980,999,488,491,560,734,637,264,217,
267,721,207,992,089,823,409,734,648,528,168,229,213,262,016,355,271,900,264,
770,962,097,796,978,124,982,397,913,584,597,799,118,886,130,955,952,470,143,
100,799,339,907,836,297,070,396,557,629,005,767,198,379,807,887,050,816,053,
526,123,609,982,034,014,569,250,447,680,664,760,073,478,439,719,883,955,822,
554,785,631,104,291,895,284,266,573,725,845,141,294,506,576,895,733,365,756,
881,485,997,061,604,817,653,619,791,384,556,038,806,993,568,396,900,434,126,
289,692,699,622,954,535,199,918,625,910,865,001,173,413,638,711,694,634,001,
750,997,474,111,157,609,668,170,232,480,869,006,123,238,814,114,096,237,204,
336,094,093,702,448,145,322,749,398,512,139,749,954,076,655,695,369,460,497,
090,377,414,803,241,184,267,842,623,866,081,750,331,291,035,998,681,859,225,
839,823,025,906,907,861,536,483,127,468,190,394,703,036,241,829,556,831,758,
777,748,313,992,834,011,055,406,667,880,479,759,157,895,840,602,915,044,062,
748,548,736,060,317,867,850,923,928,650,871,841,322,128,805,777,302,578,304,
796,537,957,164,488,329,688,503,023,461,962,841,773,423,174,109,119,657,514,
989,623,987,328,940,247,990,184,562,748,783,349,112,562,021,764,688,187,661,
466,314,258,106,595,413,481,460,313,391,771,600,511,398,101,589,425,944,495,
177,358,555,555,720,854,627,056,186,559,074,012,262,750,387,949,612,169,759,
086,066,465,131,968,484,330,018,272,912,196,793,400,604,069,624,869,877,707,
261,117,192,192,848,541,784,563,130,154,186,990,750,623,690,668,468,527,874,
932,108,484,604,961,667,254,078,448,809,454,941,476,843,728,767,662,545,252,
100,603,422,211,525,160,714,575,627,113,785,567,164,059,133,157,547,306,692,
513,311,119,292,741,006,307,730,999,675,562,695,989,828,465,747,996,780,913,
552,100,113,831,833,241,447,960,674,350,429,853,536,735,929,710,692,192,407,
748,803,920,501,910,286,385,452,645,765,653,972,874,672,892,497,484,024,411,
205,749,155,937,561,043,909,804,984,465,150,007,527,253,908,252,400,344,934,
692,385,390,598,751,772,473,005,801,702,513,759,021,113,075,756,220,916,652,
225,909,325,866,900,325,097,120,368,155,460,528,133,177,333,331,269,028,016,
848,833,008,536,826,715,059,750,950,725,593,739,403,528,055,937,055,267,555,
131,064,987,205,615,447,171,908,959,580,548,421,739,032,775,764,196,561,350,
155,631,752,398,714,010,315,652,058,922,166,385,030,742,801,994,383,279,797,
378,026,149,049,051,501,121,175,748,601,748,834,934,442,130,645,211,957,710,
054,954,322,246,239,855,067,803,735,918,530,180,566,026,209,017,978,110,871,
270,349,579,022,450,927,043,435,800,935,685,758,666,298,048,383,265,516,256,
354,878,577,536,639,394,619,350,944,398,032,855,108,481,995,390,744,950,237,
566,803,998,742,112,802,012,922,617,769,543,045,321,745,412,048,438,612,677,
688,013,914,678,123,823,393,211,861,080,224,443,116,796,269,958,019,965,975,
746,698,831,505,487,397,009,029,900,531,298,310,831,634,503,286,339,517,976,
984,462,402,049,200,286,149,323,951,099,245,062,027,509,234,139,864,654,854,
083,435,154,194,056,556,498,866,894,200,964,092,837,572,163,119,999,175,551,
510,053,883,322,390,861,353,125,437,620,166,914,762,605,790,381,842,834,514,
886,872,530,778,405,689,129,201,895,342,019,785,242,588,579,083,915,889,188,
135,709,148,512,087,255,250,008,727,774,346,533,084,247,568,849,491,033,956,
871,614,350,151,031,535,546,489,159,222,133,359,983,589,401,001,088,252,744,
155,502,742,997,838,444,449,694,363,334,547,165,809,073,654,535,793,000,546,
941,289,961,567,022,263,796,743,216,548,782,643,851,214,648,849,578,109,221,
100,057,534,904,486,405,325,088,284,334,629,933,658,220,418,031,728,249,755,
486,596,630,880,943,904,672,461,200,433,940,787,629,573,932,171,162,520,895,
562,790,413,677,139,423,971,470,636,405,388,607,364,453,031,247,340,173,020,
801,867,202,769,911,992,598,674,795,158,491,232,124,467,338,488,164,639,953,
178,778,225,636,816,393,302,947,123,804,604,364,407,050,950,433,776,463,547,
268,142,694,528,794,675,417,424,011,012,536,726,895,676,586,628,814,607,209,
730,365,023,269,743,097,259,247,237,589,447,756,363,971,077,633,030,644,998,
680,840,120,695,964,241,145,802,823,965,435,913,268,767,896,902,847,872,547,
351,874,607,132,367,131,626,967,017,226,110,224,512,249,917,479,198,889,128,
058,425,657,237,691,695,135,190,349,691,153,413,710,909,997,070,872,423,218,
725,443,085,906,240,392,338,775,090,231,693,744,512,076,950,804,281,191,016,
190,114,872,597,806,056,778,959,370,074,906,378,145,309,637,866,602,756,887,
016,213,463,542,719,232,810,794,508,075,863,099,255,947,962,627,370,338,097,
167,354,985,961,581,387,454,559,703,166,825,329,083,881,456,101,374,991,874,
039,289,328,693,016,783,524,232,572,772,189,693,885,809,179,851,910,509,297,
010,971,073,412,668,130,668,977,114,649,974,445,146,772,427,650,640,285,975,
467,649,527,114,547,994,471,048,698,128,576,007,118,741,341,017,436,041,035,
281,319,007,757,730,609,330,144,217,659,188,540,828,765,380,069,596,162,513,
171,615,592,652,625,453,839,569,560,419,414,319,189,513,222,060,944,434,551,
978,514,132,742,869,496,811,556,897,172,163,460,050,413,259,479,742,834,684,
027,846,511,631,104,621,328,749,644,587,528,781,047,100,490,466,168,124,112,
873,455,459,683,411,544,228,376,620,992,776,064,455,242,259,565,227,607,106,
126,105,905,259,556,735,519,334,396,971,275,347,498,164,293,047,615,896,184,
965,799,272,988,798,381,224,245,429,036,737,850,259,734,309,180,081,369,281,
461,370,336,191,833,338,651,170,944,235,167,322,367,507,693,016,550,964,205,
341,473,879,067,653,007,652,969,560,240,331,189,453,700,173,447,021,157,820,
508,555,214,437,233,215,070,664,254,018,407,497,504,103,767,520,218,078,658,
301,153,230,740,867,958,057,112,150,811,159,592,956,061,002,255,381,536,846,
224,246,538,419,289,595,855,725,793,938,708,677,076,036,275,640,171,234,426,
492,241,311,911,365,106,973,721,442,905,400,872,834,125,429,686,530,072,332,
452,771,009,995,774,616,094,705,894,053,541,729,004,676,619,528,805,326,107,
234,669,724,830,351,575,353,698,573,146,301,930,016,892,024,261,336,717,299,
348,510,261,314,611,184,330,214,509,455,061,561,725,829,732,539,604,296,126,
856,779,041,580,643,872,514,081,703,110,542,228,259,296,368,874,451,751,101,
394,660,556,166,504,139,826,380,465,480,755,538,416,911,099,688,177,598,932,
886,616,061,184,937,745,204,932,210,635,521,552,841,627,693,410,161,225,714,
765,794,751,096,287,698,727,064,885,449,799,022,778,386,639,175,294,491,389,
530,916,095,365,594,884,882,515,516,385,779,583,084,068,151,045,267,823,431,
131,379,836,219,661,093,884,977,555,032,129,348,626,248,850,795,410,154,263,
925,478,394,050,629,873,580,665,623,188,219,061,826,979,999,684,616,698,632,
657,308,017,973,691,911,084,228,216,470,679,621,607,786,845,012,411,397,955,
538,669,808,540,825,598,537,696,968,235,437,447,918,145,474,641,846,668,173,
134,059,181,383,826,343,002,988,059,331,166,954,873,297,802,098,288,309,509,
441,327,751,496,282,620,760,174,145,368,860,826,609,469,091,292,006,138,750,
009,292,032,729,892,749,651,904,102,191,582,951,546,287,595,762,062,481,642,
845,300,531,891,427,570,569,323,141,241,464,771,255,272,757,759,668,415,853,
372,242,838,065,970,854,226,306,947,860,176,700,199,478,182,213,692,907,218,
975,238,903,980,823,483,923,338,033,425,102,128,744,943,943,768,070,191,244,
424,497,420,827,926,865,004,648,980,475,391,818,806,114,796,101,820,344,521,
432,700,771,614,071,558,164,941,380,482,544,782,275,575,745,721,222,830,436,
046,004,411,763,160,389,604,154,521,041,432,348,566,799,157,721,137,898,250,
845,754,070,235,507,440,961,607,039,016,087,111,819,408,080,449,755,121,956,
333,321,652,017,787,604,847,828,796,628,572,178,287,645,397,676,799,118,770,
738,808,213,954,664,624,016,029,895,593,718,510,162,750,435,367,649,003,879,
166,866,530,351,209,037,064,764,242,480,308,797,024,348,385,559,251,690,302,
867,401,565,279,738,239,601,049,527,865,070,263,949,656,361,118,009,932,011,
495,037,219,866,832,409,786,473,507,969,189,226,293,796,094,560,306,563,297,
006,003,929,531,096,269,110,325,068,475,277,389,906,604,355,810,131,490,376,
256,260,763,449,480,970,508,269,048,878,732,733,811,226,321,634,486,602,951,
720,303,782,479,194,482,587,223,256,529,941,332,496,280,834,835,596,582,941,
004,956,996,948,869,509,176,099,552,627,293,308,833,024,301,670,321,052,636,
827,616,092,805,356,226,671,291,788,192,168,474,747,539,239,201,852,123,628,
500,112,246,534,715,517,347,949,261,484,808,507,374,379,211,307,018,360,962,
480,117,203,047,199,067,459,125,028,665,573,592,768,211,871,879,962,586,448,
361,443,277,128,729,052,697,615,458,351,378,023,051,093,942,310,806,584,106,
451,672,231,295,954,846,122,985,327,746,491,893,333,920,560,733,626,702,807,
503,246,203,836,223,667,791,041,757,495,384,830,869,961,089,689,991,165,257,
375,136,974,893,562,651,751,714,567,312,744,335,292,878,635,070,968,391,514,
735,338,233,278,183,280,120,986,224,345,606,414,275,884,670,794,598,652,856,
869,344,742,471,630,110,829,019,949,606,277,334,403,467,714,687,914,772,056,
690,254,190,446,800,558,595,102,514,269,009,918,220,202,442,144,272,924,829,
300,697,840,930,406,940,604,421,179,859,490,701,009,720,881,466,449,674,274,
248,791,925,637,796,697,878,893,761,401,197,053,276,964,516,442,900,203,261,
893,568,761,737,024,535,778,606,903,995,150,861,821,141,457,898,798,519,571,
184,008,260,897,116,311,756,137,033,550,615,022,079,811,302,086,366,209,821,
550,559,244,665,539,658,068,074,018,125,354,283,841,526,352,622,695,052,722,
341,909,541,896,868,989,849,662,143,243,515,303,560,325,834,003,373,769,724,
722,340,590,460,460,683,363,309,448,410,336,983,000,047,220,867,133,682,318,
041,092,071,578,308,177,912,216,588,442,063,495,225,436,326,050,809,135,644,
727,183,675,495,407,097,817,063,924,013,492,008,543,421,395,405,044,452,525,
303,801,092,713,757,823,341,368,219,394,996,227,325,305,014,820,923,278,239,
886,535,746,463,260,910,525,707,178,888,124,082,992,033,739,764,376,325,104,
766,268,809,710,359,181,054,157,188,867,234,206,925,428,544,844,583,157,690,
770,086,781,826,327,158,304,614,459,012,245,238,211,487,316,185,340,877,523,
107,728,709,744,205,717,082,239,895,013,518,035,771,327,698,268,556,689,880,
193,608,745,887,098,494,392,531,078,280,277,820,190,174,156,918,475,764,822,
662,830,781,632,649,794,547,744,172,826,958,345,105,465,179,914,066,826,747,
500,252,608,977,299,577,117,254,047,197,115,075,392,689,477,754,576,100,449,
920,882,816,452,079,964,425,669,614,660,512,306,531,890,595,875,213,848,189,
127,829,967,828,314,806,597,152,988,287,487,026,212,588,048,264,144,314,151,
849,448,128,562,790,071,288,440,340,049,260,200,684,964,654,174,934,968,054,
147,481,474,433,156,131,319,214,785,163,753,167,553,380,528,168,559,834,322,
327,123,282,265,633,129,447,198,182,381,545,776,225,472,841,215,300,820,315,
028,323,629,438,466,692,337,429,145,046,311,086,347,785,267,828,908,347,415,
794,369,393,745,848,231,279,232,214,432,825,590,733,417,363,515,623,445,692,
567,396,833,322,226,818,086,944,476,784,834,708,397,910,806,708,295,615,950,
325,094,436,285,357,412,703,737,870,084,818,265,686,532,403,430,754,256,512,
690,007,581,597,112,843,894,371,279,894,680,344,556,955,011,413,401,257,255,
486,434,241,797,615,254,418,356,953,479,082,661,206,986,847,092,659,616,566,
801,412,214,409,586,358,128,925,639,026,288,072,172,208,774,125,094,012,434,
388,601,199,593,374,899,143,157,307,045,951,611,866,575,077,709,820,865,580,
368,200,274,026,368,358,641,520,576,637,224,630,605,516,486,142,439,828,316,
070,079,417,782,667,993,372,143,673,421,479,326,911,430,820,261,780,377,271,
914,046,512,581,428,685,969,947,362,382,218,991,656,123,469,646,950,358,752,
242,322,807,529,645,077,093,906,162,059,942,363,699,006,314,814,093,982,855,
770,912,580,216,272,296,016,106,814,026,241,257,929,681,532,613,822,510,047,
693,771,495,690,264,652,968,499,796,394,913,465,003,440,811,577,150,850,407,
919,510,399,056,190,166,706,374,542,062,663,276,200,400,473,019,182,271,087,
701,884,448,550,622,587,567,506,999,128,003,244,159,798,704,332,388,495,482,
134,101,957,693,997,598,005,939,423,317,875,684,396,323,032,767,964,188,383,
242,356,804,256,769,353,897,518,016,897,635,746,251,352,327,925,410,713,118,
747,719,637,196,731,116,230,118,740,989,971,518,092,830,695,028,233,308,524,
303,216,350,752,923,690,503,941,021,985,726,369,153,437,002,972,308,696,040,
584,274,140,136,853,320,811,229,761,782,005,814,594,205,963,049,538,032,152,
265,240,174,265,064,835,037,288,427,788,544,032,638,560,274,160,183,943,247,
225,299,664,834,254,106,154,457,188,499,683,722,952,631,422,001,647,882,724,
345,465,017,824,686,756,082,500,193,897,841,059,439,410,169,500,809,273,624,
552,755,601,510,876,459,739,243,299,172,073,251,739,724,433,037,206,042,769,
727,902,469,006,585,668,776,991,442,609,012,341,765,945,626,426,943,620,987,
042,204,647,069,614,013,638,973,327,621,299,296,637,561,749,228,985,273,101,
331,051,835,575,501,413,422,763,699,658,715,024,540,982,305,064,729,042,013,
862,710,990,757,404,144,434,404,915,249,919,435,783,756,925,071,260,462,914,
815,199,396,787,011,336,028,420,691,072,408,069,884,168,607,695,598,584,207,
336,809,020,439,203,956,255,482,659,949,580,218,558,009,598,654,777,895,373,
911,180,353,476,304,137,551,362,206,205,617,151,579,783,270,154,908,811,927,
311,060,046,612,842,917,812,654,870,512,180,901,941,949,642,871,139,379,283,
282,230,463,849,141,667,318,466,002,081,552,988,387,158,039,161,404,814,665,
068,814,390,496,652,926,812,730,069,846,005,989,938,073,479,495,215,697,023,
568,212,827,111,899,050,327,340,632,359,243,107,850,215,622,579,060,191,605,
037,117,256,973,527,869,757,893,986,569,421,675,079,534,000,358,111,490,364,
833,082,170,882,913,833,837,852,968,167,457,055,263,396,021,057,522,372,830,
738,056,055,476,277,077,754,043,680,872,402,115,939,501,469,970,981,154,316,
488,445,955,643,180,693,873,997,431,336,841,223,350,874,067,119,382,370,778,
516,618,732,889,645,021,915,680,429,670,743,050,270,047,739,368,871,041,675,
048,312,847,278,814,269,098,640,519,968,276,866,313,499,588,212,464,051,493,
743,035,714,863,778,940,182,308,196,852,012,181,571,389,099,624,097,883,015,
958,744,863,553,846,477,666,000,253,202,718,654,534,527,323,195,911,893,905,
783,308,885,315,399,950,292,326,828,746,990,493,887,805,521,905,131,498,488,
266,849,878,939,338,578,686,744,124,370,137,618,954,985,224,233,957,566,073,
706,066,254,335,177,695,599,522,603,472,976,938,202,186,312,367,693,329,238,
868,194,725,280,980,744,804,909,404,878,674,831,692,903,271,771,968,454,438,
972,705,772,978,686,673,245,221,614,242,325,416,183,801,906,458,386,692,223,
772,216,298,199,588,163,524,042,082,175,192,100,641,186,238,346,646,655,201,
389,712,875,745,736,649,803,362,804,575,269,865,590,244,236,124,822,254,489,
182,631,279,578,893,628,862,431,757,823,603,309,960,091,389,712,651,962,946,
573,013,376,428,400,105,401,603,136,836,988,413,193,624,983,676,879,143,807,
185,991,459,511,594,313,347,490,789,350,702,694,658,981,740,866,411,088,424,
614,916,261,098,753,437,449,619,024,684,638,605,332,112,183,484,538,219,558,
286,904,831,368,392,765,805,438,828,638,453,855,950,247,540,367,155,127,016,
034,193,540,172,285,070,363,404,740,158,398,086,995,541,730,931,688,908,717,
954,814,856,438,353,300,972,669,777,763,257,564,292,860,795,452,562,777,562,
828,113,199,779,358,973,405,659,187,724,842,549,890,394,357,006,623,531,767,
418,354,002,286,269,717,229,119,179,563,050,897,275,098,492,336,646,940,683,
610,641,959,058,517,461,777,182,570,537,940,914,561,501,134,357,439,689,612,
499,453,103,748,786,219,938,314,963,704,415,617,081,062,573,463,446,751,391,
597,917,783,254,892,354,940,158,883,033,553,223,943,777,195,107,644,926,422,
121,105,184,373,116,745,145,580,932,905,461,688,702,558,960,965,331,644,679,
043,255,546,351,597,206,596,179,730,764,756,809,139,726,943,513,313,074,944,
215,641,878,751,091,271,338,613,267,824,147,125,138,067,805,960,367,230,637,
535,022,140,869,384,750,241,863,568,812,055,375,807,471,135,327,699,016,405,
640,514,462,698,646,683,454,264,342,579,828,416,456,720,053,754,313,878,021,
868,256,667,548,387,237,073,284,736,890,614,048,572,803,127,030,359,729,719,
174,426,951,188,995,557,256,064,830,397,056,356,664,785,941,019,125,677,989,
481,092,617,481,319,219,658,968,425,802,154,958,038,195,213,686,249,453,137,
208,376,897,183,830,998,600,299,200,248,029,916,695,237,277,486,294,232,439,
774,298,683,525,936,199,059,161,121,924,036,047,999,886,915,999,920,510,927,
128,936,599,381,178,072,068,752,969,867,042,978,044,891,960,034,853,309,571,
098,545,952,737,284,547,784,357,951,406,025,448,745,392,046,859,864,249,471,
218,590,321,885,137,226,057,940,962,207,309,679,758,458,705,582,530,654,850,
604,110,158,329,327,715,859,049,834,333,055,286,948,624,690,036,725,613,001,
537,116,143,253,427,677,274,018,283,204,538,495,386,748,993,120,272,732,527,
885,311,073,609,500,535,597,726,653,317,091,661,619,925,845,117,353,292,866,
564,511,563,060,985,057,655,874,199,644,733,504,063,189,523,425,806,277,561,
573,413,457,706,052,186,301,120,356,196,639,898,690,362,346,941,820,564,624,
133,470,024,299,301,260,958,814,680,209,885,982,240,434,382,912,316,251,665,
097,073,739,963,485,189,864,311,537,187,181,922,174,252,300,822,196,041,539,
763,378,122,305,297,951,645,333,543,183,856,743,344,147,849,088,728,525,726,
181,681,991,421,320,326,944,002,734,607,488,196,746,083,178,095,694,572,390,
965,953,268,630,986,558,340,552,631,211,734,330,840,714,385,301,334,174,513,
158,992,481,220,147,942,181,362,637,902,692,056,970,851,777,948,502,990,977,
666,643,933,648,581,975,564,738,955,494,488,914,588,548,703,532,072,916,855,
223,976,673,926,360,936,990,360,740,362,655,625,203,195,278,154,268,294,984,
103,296,377,181,129,518,133,745,059,781,161,573,215,139,309,553,449,886,434,
358,865,252,218,347,889,604,580,518,450,134,700,037,847,917,881,067,805,347,
637,365,851,514,640,050,597,667,721,277,228,852,866,397,115,417,389,774,977,
914,454,262,714,666,404,309,911,968,821,261,106,004,184,373,503,968,169,826,
383,928,067,601,441,549,109,554,758,231,225,860,157,404,461,147,629,912,151,
162,013,216,100,326,581,673,955,433,840,671,068,418,817,212,808,458,801,238,
975,071,538,319,897,811,963,288,712,457,412,406,268,396,420,151,667,304,687,
037,183,604,489,537,346,992,969,269,327,434,524,061,901,864,542,743,985,146,
398,588,729,459,019,995,484,632,386,868,258,132,786,233,876,117,651,196,519,
276,676,190,810,196,347,316,303,194,445,925,608,698,200,374,817,235,838,521,
812,686,062,549,778,699,697,335,697,944,416,002,381,900,189,829,319,941,727,
321,781,104,409,999,045,072,839,215,834,011,430,532,974,201,837,876,723,696,
758,202,977,754,219,964,288,296,373,881,159,237,338,673,971,769,075,664,550,
545,721,606,018,853,536,652,239,105,317,448,035,790,707,625,601,261,499,986,
882,253,364,251,673,021,888,575,686,981,495,947,193,180,010,821,970,705,437,
030,703,309,295,081,567,294,083,253,954,251,950,791,091,175,402,812,912,152,
136,594,827,400,028,527,441,243,774,273,834,751,706,636,105,923,630,606,594,
179,014,693,534,995,095,618,898,798,362,852,899,082,898,860,047,923,733,658,
374,652,419,590,133,077,160,218,121,985,877,069,732,372,054,488,117,532,819,
653,585,163,340,350,818,074,016,425,175,308,750,573,755,740,137,723,105,186,
033,481,281,920,615,881,085,676,832,590,132,686,422,212,309,625,317,981,380,
159,865,889,116,744,874,706,894,697,582,880,797,615,111,448,801,030,296,629,
348,863,307,431,816,493,218,569,117,984,778,398,506,505,473,410,837,993,197,
764,557,576,652,942,038,506,655,386,306,980,848,320,531,440,892,714,497,705,
449,512,493,498,730,057,215,072,481,180,849,641,147,769,201,376,997,459,597,
293,873,061,978,452,053,463,412,623,056,693,540,934,538,094,875,576,881,331,
171,593,164,577,860,731,520,928,652,184,286,384,707,664,098,511,589,113,858,
570,628,111,191,376,183,485,748,368,873,553,615,019,724,739,636,955,947,114,
861,151,042,883,390,855,607,813,002,538,853,371,892,407,211,469,988,980,954,
726,807,685,755,466,596,836,811,820,235,325,033,572,998,779,257,240,861,592,
927,083,066,396,664,935,365,871,866,266,649,081,366,415,147,727,083,089,377,
750,738,832,572,795,604,739,983,176,874,939,602,735,696,269,641,553,525,566,
775,646,631,563,959,209,865,928,168,209,246,676,110,216,826,857,792,785,807,
274,739,465,381,284,620,440,349,672,507,552,345,769,424,785,828,711,201,271,
923,409,590,424,958,703,111,344,808,854,361,824,242,744,419,022,152,189,724,
095,682,558,350,424,276,185,275,540,715,482,501,786,960,340,741,098,179,589,
221,536,865,738,926,149,249,736,220,274,866,817,484,463,740,019,052,983,940,
498,671,345,583,215,849,992,488,059,657,255,311,090,391,414,768,573,787,670,
452,802,755,777,396,289,151,607,396,341,564,565,482,582,359,217,039,549,128,
041,058,565,921,371,830,129,171,193,307,178,707,642,611,477,948,154,478,170,
663,645,493,483,843,400,293,449,958,605,485,265,249,880,688,537,195,009,766,
415,035,460,547,543,895,888,243,110,195,029,256,476,493,823,226,200,737,482,
730,401,154,680,866,370,228,013,931,609,349,243,817,060,323,053,578,947,525,
733,409,388,611,239,247,036,605,200,853,763,695,302,876,891,447,715,543,589,
435,723,127,326,113,093,474,874,595,932,332,353,673,470,281,408,515,079,449,
119,454,773,129,418,010,885,113,701,995,289,247,278,065,113,246,037,053,103,
933,340,194,978,630,351,802,458,462,223,067,167,163,204,651,614,357,355,235,
942,868,487,476,503,590,539,409,349,059,471,122,690,202,445,779,858,087,533,
748,232,314,370,840,045,492,341,675,633,123,992,628,678,689,213,467,845,750,
026,215,024,733,252,847,569,497,741,210,380,936,707,019,355,450,980,361,276,
208,702,744,821,713,618,627,125,070,957,089,715,103,040,731,020,728,916,109,
163,328,291,341,669,782,557,863,283,231,083,782,047,706,752,931,044,984,053,
177,544,124,430,548,027,452,140,955,756,708,318,666,256,325,815,756,287,782,
349,252,028,034,981,218,074,026,008,959,078,693,157,605,870,057,048,282,721,
449,752,561,260,066,331,082,914,440,725,419,928,209,153,615,294,275,944,752,
649,343,722,100,583,495,213,961,484,324,906,394,677,808,423,286,193,278,533,
713,207,973,172,221,375,327,501,836,976,416,994,639,267,571,355,302,881,023,
311,044,563,404,420,346,765,412,800,405,733,310,267,272,390,746,842,904,079,
088,836,618,863,708,317,391,022,211,198,893,852,494,943,708,350,116,757,346,
710,085,444,445,529,693,769,999,707,387,750,663,142,972,399,639,323,404,725,
006,861,583,862,990,184,814,688,510,649,034,962,166,845,229,686,938,412,779,
349,969,760,456,120,456,744,195,732,191,722,560,582,465,364,077,503,204,521,
421,006,644,064,462,083,146,021,083,741,884,420,371,678,971,887,837,714,110,
847,437,161,316,185,241,375,619,696,079,206,292,178,019,113,160,688,194,520,
314,776,391,076,375,643,464,191,573,287,277,773,554,476,098,480,366,919,460,
284,429,690,062,568,738,763,774,687,424,940,579,233,083,775,314,711,680,252,
692,749,222,884,585,297,894,100,100,900,129,602,949,602,505,758,368,618,354,
595,819,983,840,813,127,951,409,188,105,457,918,201,662,848,550,655,942,346,
228,496,210,159,330,648,654,475,353,415,093,170,126,668,901,092,859,166,869,
856,088,022,013,597,339,684,512,316,441,107,452,755,803,631,391,458,224,049,
798,696,332,917,466,200,562,079,968,208,978,348,375,170,685,268,526,767,239,
957,197,067,811,377,349,665,101,249,819,690,295,656,382,726,490,330,099,980,
960,004,281,602,450,155,924,344,417,522,846,220,060,306,674,511,182,716,030,
683,283,721,288,620,796,127,801,195,980,632,034,597,899,990,759,741,467,277,
026,508,734,125,134,507,787,334,343,036,027,625,903,974,704,374,855,925,980,
052,607,594,961,031,194,728,290,169,114,558,287,229,508,591,679,117,174,086,
107,962,831,014,953,260,608,984,293,520,758,817,561,582,387,767,245,461,931,
147,221,577,380,397,878,440,354,134,799,038,941,344,577,676,713,014,268,923,
644,391,247,845,633,351,019,325,054,006,568,753,955,927,384,552,065,254,671,
273,083,222,765,465,491,738,470,234,281,400,359,211,551,206,992,997,559,808,
916,055,849,766,242,605,889,570,266,548,140,719,671,525,835,350,739,473,500,
018,459,140,113,957,518,776,620,835,643,798,287,155,160,107,866,832,244,810,
665,802,998,665,419,954,268,760,590,798,094,458,022,908,907,844,366,006,908,
332,701,159,461,497,571,152,672,658,518,251,748,902,271,938,126,550,435,454,
857,626,730,473,383,114,110,891,892,570,731,215,369,215,208,884,456,721,847,
614,470,335,190,773,747,232,875,977,197,002,264,224,094,102,516,376,127,913,
469,128,587,545,618,163,440,909,742,710,872,577,837,986,691,192,849,855,610,
816,962,039,129,443,891,212,016,277,696,303,314,695,641,071,065,417,922,079,
709,256,078,335,096,284,181,862,803,194,816,184,775,078,850,771,467,055,548,
098,727,038,923,733,265,675,483,425,079,077,946,732,961,836,529,209,348,357,
456,790,683,927,958,485,405,846,969,433,937,955,898,892,504,162,652,948,280,
798,678,857,134,137,767,829,856,836,475,473,328,488,952,055,658,307,457,735,
140,759,085,967,091,918,272,265,801,379,675,749,557,693,819,892,832,664,153,
976,078,710,443,350,291,382,015,029,320,440,648,881,801,280,360,902,625,700,
038,166,903,225,599,748,153,615,285,192,019,820,093,192,436,192,012,176,102,
841,103,377,661,419,352,947,092,774,928,414,388,667,869,163,286,195,153,206,
793,776,623,872,723,139,342,295,065,544,700,702,833,719,444,006,175,424,237,
975,028,450,577,241,453,488,031,621,559,021,050,380,567,213,741,219,280,918,
943,169,656,045,586,885,687,410,543,253,542,281,492,528,762,455,119,963,481,
318,911,124,441,202,026,864,379,554,044,691,010,970,683,544,936,644,057,970,
993,911,598,553,047,355,135,798,647,218,123,726,409,419,372,143,067,717,240,
845,666,015,377,512,822,066,588,146,933,242,788,167,017,694,785,522,267,128,
566,078,140,717,799,184,321,233,212,673,193,014,160,413,327,681,516,673,723,
467,287,659,602,174,318,726,354,943,730,637,278,111,101,771,638,534,420,149,
019,249,188,823,096,767,648,469,042,670,476,889,711,370,795,527,764,494,662,
909,748,049,015,758,205,779,332,593,420,096,061,566,298,283,685,733,225,233,
272,548,949,011,714,759,212,687,543,573,672,885,256,352,681,362,945,433,168,
230,813,946,680,527,307,618,939,854,963,388,265,580,993,406,499,219,316,025,
190,172,276,760,476,288,941,522,496,784,683,621,006,178,670,630,288,858,065,
346,576,278,883,765,720,456,566,796,299,520,365,678,058,310,925,146,925,290,
596,905,054,125,811,473,318,662,695,869,452,566,704,101,594,456,169,911,706,
667,372,512,653,416,856,386,188,735,832,415,859,919,937,640,274,769,412,631,
533,404,523,045,773,152,871,014,924,865,558,278,655,072,936,302,556,441,956,
575,628,518,330,357,744,846,908,960,566,843,173,585,354,992,929,305,370,327,
830,586,408,742,558,854,087,084,276,549,626,601,572,356,182,758,187,060,094,
957,609,029,440,450,018,011,655,707,204,839,999,566,956,527,335,008,067,163,
665,418,344,101,229,893,896,698,819,673,251,926,602,959,568,477,109,765,677,
634,088,949,373,886,763,130,246,206,647,406,860,545,447,237,601,389,210,551,
850,204,110,406,877,756,249,902,921,528,804,169,846,428,731,381,768,173,004,
775,082,896,005,790,782,923,157,842,317,087,077,412,458,069,699,850,944,315,
029,992,716,219,220,695,554,125,619,472,366,828,660,022,536,901,028,863,940,
927,842,712,020,196,276,897,012,093,507,526,132,456,554,670,691,129,779,196,
526,516,253,707,627,838,345,098,549,250,307,029,878,983,920,073,258,400,971,
806,155,599,387,262,475,561,336,503,741,746,542,878,968,675,764,406,976,572,
696,708,768,955,407,592,577,651,474,831,344,118,210,642,444,413,789,018,114,
634,503,662,754,117,332,224,525,718,766,036,082,103,359,771,073,165,211,296,
361,201,318,809,690,321,264,500,129,685,084,587,942,082,662,999,003,783,506,
861,073,108,274,519,473,134,143,586,812,770,653,118,279,289,977,089,142,615,
436,907,241,414,901,917,576,066,736,577,390,570,651,011,417,150,386,073,002,
313,133,402,470,133,240,641,228,682,392,806,906,165,276,681,253,886,391,523,
812,222,786,657,099,088,058,194,794,692,742,523,783,339,870,563,092,998,010,
132,102,268,289,460,409,023,983,000,960,711,189,355,011,864,462,400,751,666,
590,868,122,605,488,111,519,872,106,072,033,533,013,202,759,074,308,324,713,
110,350,283,780,912,869,221,703,575,399,623,215,461,115,758,405,911,513,718,
530,219,627,898,307,616,305,826,349,393,766,680,553,636,627,318,976,478,855,
994,208,459,475,660,625,347,348,048,579,503,083,564,210,213,557,743,238,671,
563,182,183,097,693,484,978,861,679,058,163,703,695,699,735,698,511,221,927,
928,539,041,353,257,759,908,986,282,149,658,727,547,572,359,333,076,663,934,
672,052,257,477,563,193,564,203,274,190,470,650,073,068,637,499,673,986,754,
270,582,161,905,531,575,916,047,747,747,376,209,215,300,672,163,649,601,377,
897,012,826,890,510,039,221,305,660,527,446,791,810,103,818,626,596,236,543,
108,725,270,352,415,908,452,497,836,704,673,688,858,624,296,722,855,397,625,
790,091,519,067,346,404,912,977,197,357,025,280,952,388,957,499,182,626,791,
815,604,324,644,287,657,189,759,434,968,992,911,383,726,199,863,832,132,588,
244,449,004,300,916,798,689,554,142,915,433,435,624,019,419,089,322,601,692,
070,531,399,497,421,023,979,336,054,156,070,394,667,774,085,765,226,953,462,
227,797,962,260,477,278,387,892,588,307,412,988,115,084,736,681,989,666,031,
524,224,807,002,517,608,339,713,211,391,468,391,395,988,828,467,111,493,564,
011,372,969,013,740,765,161,042,368,529,644,163,868,675,362,932,296,934,158,
763,355,622,862,824,472,565,951,800,459,602,374,564,566,324,886,734,882,073,
040,233,665,798,411,894,449,343,421,343,168,337,152,342,274,301,416,979,178,
178,248,639,483,709,913,118,916,465,852,198,992,259,745,975,913,192,232,282,
284,782,869,604,933,734,929,248,451,474,465,305,174,611,634,021,019,897,685,
958,453,680,494,348,340,670,417,016,768,569,895,937,357,341,515,787,296,447,
328,631,167,846,003,616,443,088,868,077,086,702,804,628,006,905,507,978,143,
900,012,238,087,175,397,268,048,151,236,846,923,175,894,318,520,387,911,453,
252,467,402,331,489,823,591,155,708,176,554,188,050,974,870,148,026,469,657,
447,952,760,627,569,806,884,609,556,349,195,326,890,306,854,665,684,245,001,
545,856,823,639,889,536,106,182,580,993,469,885,296,482,465,032,352,298,614,
032,220,489,857,276,315,293,243,778,649,372,078,303,828,997,749,046,368,668,
559,242,049,007,105,660,258,205,225,439,633,519,775,930,163,504,266,915,631,
138,628,975,990,830,341,358,291,556,467,902,317,945,483,502,604,909,314,177,
314,348,148,661,300,507,973,891,980,117,812,721,319,943,824,933,520,917,931,
187,390,042,573,965,935,861,483,320,654,961,721,029,755,106,490,341,072,761,
596,607,206,731,530,401,439,533,096,682,959,538,331,105,250,800,396,983,497,
430,954,490,500,245,045,773,202,283,852,485,293,445,029,562,540,117,361,979,
447,589,322,984,598,844,188,531,169,953,517,533,532,974,505,264,328,372,906,
715,450,075,443,381,894,988,105,384,479,734,759,040,778,443,364,243,419,884,
384,973,689,961,678,738,962,037,802,010,208,843,736,465,107,389,902,208,788,
694,115,895,707,695,089,777,047,361,964,106,100,219,713,480,969,442,538,461,
885,913,619,436,145,570,562,759,835,207,333,518,440,815,122,947,714,517,374,
701,568,193,870,643,510,554,908,774,815,255,212,892,710,904,052,409,588,669,
917,943,389,942,515,990,500,532,863,478,093,183,019,106,500,474,751,152,569,
198,956,459,752,907,721,336,459,779,657,584,276,874,704,070,110,593,878,175,
103,043,388,467,465,158,413,364,865,824,055,297,870,493,270,545,431,009,796,
238,684,281,312,339,734,954,416,658,096,840,027,620,910,568,999,056,670,028,
821,523,843,504,543,287,671,013,001,845,015,739,408,419,325,716,596,028,929,
492,883,679,719,344,778,617,812,948,583,343,836,486,034,580,457,803,201,883,
499,318,320,608,281,676,101,867,527,494,814,753,850,256,570,667,285,675,685,
577,734,060,711,111,198,650,308,158,161,063,069,156,890,211,415,190,406,641,
646,049,893,122,794,250,219,334,179,042,931,462,346,085,547,728,104,701,980,
563,102,270,240,473,211,178,079,483,206,476,762,734,050,460,262,780,980,204,
068,931,093,171,531,644,592,473,106,106,619,766,869,801,293,209,236,399,921,
889,787,763,879,025,636,671,423,914,290,445,829,511,476,095,101,236,846,934,
459,863,446,560,219,658,674,461,331,685,791,894,704,029,936,671,349,268,378,
151,993,919,389,112,737,829,307,952,941,053,593,736,016,712,850,978,544,461,
182,504,099,477,969,947,906,536,528,871,989,669,307,342,958,108,943,643,888,
777,121,607,896,606,034,757,165,512,259,205,384,592,857,794,457,123,400,450,
581,556,745,798,655,066,759,214,311,397,237,257,959,840,367,888,570,085,049,
992,887,350,465,739,161,174,680,102,900,636,525,857,706,850,612,704,648,173,
696,332,448,690,797,841,138,253,947,340,856,733,893,824,817,090,184,725,122,
558,048,902,875,910,640,276,773,060,492,020,330,029,218,782,680,205,143,179,
499,730,403,026,916,096,526,898,372,012,236,030,034,739,624,696,885,505,761,
600,881,638,833,015,433,441,892,906,130,766,866,513,258,116,492,708,830,975,
947,283,961,414,819,102,617,698,408,794,542,365,346,701,105,511,791,188,690,
966,845,897,432,571,607,485,079,554,014,044,877,380,633,439,799,196,311,641,
353,296,767,145,905,040,835,960,847,063,861,227,719,306,272,038,903,692,710,
813,380,186,388,301,543,734,112,569,468,499,878,121,311,499,712,874,413,079,
084,300,710,381,237,309,833,615,212,115,414,559,234,911,366,770,360,963,980,
160,102,883,601,474,067,327,356,469,630,997,457,465,635,266,339,572,981,260,
925,133,871,539,822,882,716,101,063,777,541,611,729,902,775,625,500,282,709,
420,774,354,389,275,328,729,510,233,228,726,318,586,874,345,592,819,840,831,
859,756,603,294,371,516,431,675,704,247,195,070,366,833,107,315,993,195,471,
352,382,813,040,778,135,878,148,443,279,729,866,252,389,826,609,120,694,139,
562,687,005,606,417,267,578,281,222,704,959,842,898,477,219,039,660,463,770,
480,647,085,836,561,343,711,726,089,824,493,909,837,848,144,150,400,779,285,
780,618,415,180,331,240,300,349,715,220,367,511,461,508,968,606,276,377,762,
288,048,246,839,367,832,454,667,085,812,813,321,775,766,108,867,677,156,185,
661,956,747,460,540,593,940,841,829,553,692,824,269,286,748,035,070,955,923,
037,022,968,793,818,625,355,550,016,488,501,343,404,000,828,347,321,032,115,
118,173,523,515,922,249,935,265,927,588,250,284,820,716,476,183,299,846,587,
495,395,960,937,168,636,954,518,632,869,405,056,867,814,601,967,429,040,475,
623,210,243,518,378,444,336,254,335,140,218,445,516,615,463,669,791,410,456,
970,492,711,486,345,181,145,297,097,956,762,941,153,439,721,395,976,185,830,
998,099,320,837,371,572,016,029,193,403,633,569,863,875,985,404,232,936,760,
582,875,240,867,172,775,279,606,184,843,114,877,211,173,559,672,530,324,663,
653,560,743,822,449,627,150,819,152,282,981,017,442,821,109,479,837,736,424,
206,748,223,182,597,046,454,287,373,566,053,433,533,087,971,236,280,364,261,
407,012,725,138,675,013,761,928,270,831,099,874,726,178,394,050,516,492,818,
481,106,821,161,598,577,214,647,592,124,790,996,515,553,438,621,595,585,739,
893,677,495,427,108,327,343,664,408,976,597,197,938,666,565,174,156,062,922,
380,704,091,905,096,696,326,928,627,975,471,263,123,219,109,213,985,377,062,
650,264,187,373,612,663,571,142,523,763,927,035,399,693,681,018,509,222,652,
230,786,184,409,770,783,695,957,858,198,504,489,775,404,917,169,509,521,699,
391,771,818,349,681,289,619,387,323,612,223,517,734,324,215,647,546,317,147,
722,684,616,466,482,657,281,752,652,462,571,185,752,174,289,655,833,508,007,
211,909,063,453,435,514,344,852,807,546,834,998,128,758,943,612,600,738,969,
917,449,831,814,218,509,866,069,781,517,438,785,678,080,630,128,429,006,212,
742,122,745,789,015,727,239,889,980,151,617,228,007,066,070,309,462,548,010,
133,527,033,709,764,002,370,289,514,365,528,600,059,806,050,309,443,312,106,
337,249,090,731,970,581,715,717,549,622,723,187,151,759,984,774,810,531,274,
615,243,922,740,335,462,209,475,455,648,024,597,305,288,150,422,958,640,434,
740,753,216,073,244,620,285,192,411,042,808,233,037,690,935,835,280,260,935,
272,792,135,923,657,600,805,012,309,924,195,702,871,686,581,075,307,035,308,
926,211,185,703,120,830,899,159,437,543,803,155,999,033,632,516,831,023,466,
389,282,068,004,966,786,164,691,669,669,101,625,698,646,336,044,352,790,338,
368,136,547,544,578,102,697,096,995,819,371,054,227,554,994,789,014,491,411,
528,463,019,419,698,718,190,644,953,253,833,646,507,812,179,817,135,430,066,
396,632,142,352,289,826,918,334,898,369,290,691,404,515,512,576,755,331,849,
559,932,904,257,630,504,360,669,222,844,843,962,808,493,125,956,533,527,463,
524,482,402,510,202,526,957,285,683,081,966,869,523,697,305,207,141,919,624,
885,023,407,511,605,688,025,338,340,476,798,455,326,450,751,886,446,608,319,
192,122,112,830,760,039,999,093,547,901,912,717,638,766,596,547,268,143,038,
040,279,623,732,188,682,887,089,146,128,242,670,108,647,072,460,045,641,540,
822,158,263,816,239,495,647,704,481,448,096,259,821,907,947,495,958,049,633,
309,857,289,401,375,253,233,085,918,963,513,932,823,167,437,566,345,840,641,
047,035,242,991,712,977,465,808,888,767,070,343,170,487,679,031,199,023,000,
919,478,306,127,084,045,091,424,522,800,304,033,928,456,189,385,648,771,022,
913,626,622,957,369,160,232,457,843,269,233,588,904,114,203,069,831,846,547,
856,019,375,094,241,157,846,722,461,567,770,815,359,668,179,976,969,261,276,
631,084,626,176,875,176,570,546,528,649,040,703,535,046,735,632,586,516,000,
949,422,612,962,050,648,672,494,824,077,111,610,465,258,300,561,729,702,994,
751,079,359,617,513,370,425,745,236,331,557,373,326,017,514,607,739,741,015,
677,856,713,861,569,802,442,258,824,340,062,766,411,723,752,296,632,501,469,
325,080,161,349,656,712,637,656,632,472,225,474,177,003,847,956,788,616,778,
961,491,263,252,557,979,364,361,852,596,243,415,794,757,248,043,798,630,628,
729,262,025,157,157,470,170,550,499,049,576,161,896,736,386,286,886,798,704,
886,002,484,366,439,934,638,845,281,902,582,738,448,421,773,166,420,836,501,
934,252,184,369,497,082,077,980,523,650,817,395,777,609,439,497,467,918,804,
205,138,612,758,527,860,629,892,545,457,897,368,287,338,144,401,021,164,784,
423,533,270,235,211,181,716,589,110,440,866,119,243,337,447,062,004,491,461,
424,284,380,354,178,817,723,976,470,837,003,824,796,913,938,606,568,062,321,
756,223,050,341,084,334,161,445,302,339,484,361,247,376,825,394,049,414,347,
301,979,928,283,380,587,834,080,825,710,001,159,509,665,401,635,040,543,373,
069,143,716,039,587,741,398,651,244,274,995,150,405,964,391,930,161,382,198,
054,209,098,404,353,745,233,370,741,908,711,372,877,870,100,918,684,423,473,
334,231,644,313,473,665,013,481,403,573,984,995,895,953,779,241,256,348,995,
689,048,826,021,693,631,363,135,770,692,800,059,305,939,824,932,107,328,667,
529,874,965,994,714,660,475,312,052,317,631,403,763,537,366,882,442,588,584,
404,857,663,327,349,479,084,358,443,694,278,551,473,790,952,585,268,029,773,
325,724,762,903,737,713,884,034,274,662,378,716,365,500,315,651,752,504,071,
381,240,882,971,532,122,992,912,612,961,435,311,265,662,172,180,816,669,464,
288,779,928,273,770,209,668,138,128,075,877,486,663,642,879,348,160,416,101,
872,264,123,141,554,659,218,264,836,182,322,029,788,729,074,322,667,109,774,
792,413,298,818,595,237,877,710,324,035,701,602,951,390,113,048,358,186,563,
428,078,265,825,945,972,648,604,192,628,769,603,250,734,119,125,720,734,142,
869,116,746,375,052,074,573,561,136,263,407,463,739,072,286,322,131,394,419,
871,365,971,340,402,609,536,990,650,348,243,172,878,225,103,795,351,592,510,
576,163,407,253,173,076,394,257,884,020,469,446,691,915,471,646,338,240,142,
256,624,759,692,066,449,925,332,006,780,363,768,681,587,671,377,605,220,689,
085,569,517,551,399,899,256,796,250,999,459,533,996,939,996,049,721,561,716,
358,013,613,219,184,674,119,380,419,769,118,452,433,599,760,309,576,725,220,
094,411,134,834,054,258,817,792,869,475,272,607,544,741,747,429,155,799,392,
734,655,127,705,912,395,802,993,766,916,344,450,039,712,974,817,243,216,689,
894,088,445,112,162,446,507,428,671,655,991,362,499,417,576,106,781,704,730,
721,595,737,471,702,077,200,565,708,635,625,113,389,752,477,892,897,136,685,
672,534,539,783,579,640,541,853,204,898,997,022,778,761,946,201,445,257,868,
085,437,476,351,795,033,550,688,155,609,126,239,695,452,309,711,434,674,809,
872,778,310,159,265,976,901,829,087,511,176,104,539,424,050,759,210,046,972,
981,942,968,618,372,888,938,297,543,579,213,523,185,777,917,985,183,145,286,
813,217,446,136,673,520,145,148,823,467,474,761,573,105,289,528,682,419,195,
012,135,204,358,009,123,254,435,532,140,834,002,214,997,778,441,654,489,595,
003,417,667,928,920,373,495,160,539,771,550,163,364,187,249,182,688,952,367,
970,179,502,726,032,810,470,359,999,353,090,813,044,778,928,909,826,177,138,
225,795,478,926,587,249,122,973,743,287,814,016,713,930,335,678,701,617,125,
485,920,628,216,636,768,070,555,988,275,898,340,166,408,320,313,634,309,107,
997,162,823,424,878,892,379,716,897,841,481,591,975,132,598,992,984,158,383,
919,758,053,270,353,882,890,355,160,396,724,217,689,372,917,062,153,226,680,
885,860,819,802,748,893,229,786,162,716,181,738,719,194,550,525,262,366,550,
317,490,627,584,195,595,752,022,349,906,770,675,643,022,287,162,305,631,215,
386,525,557,466,991,017,106,304,530,991,632,945,785,922,520,127,696,157,747,
181,027,990,255,637,513,871,832,185,682,138,350,270,851,620,362,314,818,134,
940,500,935,974,307,711,425,269,884,830,781,413,764,816,416,008,293,423,143,
950,190,491,163,326,830,788,291,886,076,498,508,714,877,960,981,909,317,045,
048,215,723,517,146,322,345,202,884,781,557,719,385,027,919,387,270,062,914,
620,240,810,058,722,707,553,391,515,830,514,813,912,077,746,930,170,015,202,
498,691,861,577,576,218,543,685,562,737,289,648,484,984,827,680,344,203,789,
964,576,135,033,931,847,406,998,180,367,034,330,638,160,467,664,740,291,024,
293,248,447,213,509,188,995,018,373,849,070,037,205,120,471,490,772,034,183,
527,908,088,698,662,267,136,709,340,660,438,847,506,482,361,074,707,815,738,
427,081,467,723,304,251,602,915,639,199,671,867,587,617,617,569,170,651,339,
711,638,186,543,815,148,721,785,834,641,101,379,221,980,243,813,484,820,441,
453,611,078,573,032,419,664,413,241,860,822,297,126,641,393,954,253,091,242,
659,334,769,817,802,364,163,287,084,128,055,142,689,469,515,164,230,431,296,
002,116,310,052,641,846,195,518,066,322,696,696,646,644,571,492,425,236,248,
711,150,850,450,891,069,682,107,691,612,222,013,544,546,105,532,230,280,176,
523,637,349,234,556,573,696,884,110,783,602,312,087,317,657,856,806,633,138,
182,400,704,682,933,209,896,312,089,755,532,962,484,661,845,077,503,067,289,
678,467,094,719,714,643,480,175,695,508,100,419,276,313,659,933,601,048,379,
787,848,021,333,103,264,947,085,714,878,857,058,647,774,554,678,511,920,004,
131,831,602,121,365,711,604,151,191,219,668,568,629,307,457,817,564,510,272,
028,916,641,168,577,699,552,148,318,801,881,675,307,473,549,122,376,078,181,
265,701,341,034,479,210,586,913,366,773,177,328,431,214,590,511,540,793,216,
446,318,019,754,384,386,828,915,220,539,236,855,549,009,050,232,534,257,717,
425,989,624,567,471,453,080,506,777,845,525,404,285,155,725,498,170,071,182,
323,861,616,256,408,299,085,605,821,444,638,275,534,292,038,216,362,182,799,
824,430,989,649,464,693,686,746,492,317,107,839,749,936,313,611,333,274,864,
270,431,734,866,532,178,045,731,488,294,852,192,759,423,507,737,784,718,695,
675,525,462,599,039,273,068,678,168,201,027,154,594,592,510,465,663,780,450,
582,027,440,947,656,481,841,969,786,859,578,474,894,212,994,880,509,085,953,
123,906,807,919,089,192,266,970,687,201,825,717,110,517,723,279,640,076,325,
587,115,896,621,334,451,616,946,678,199,882,934,190,874,281,945,152,555,668,
494,263,686,884,539,802,344,254,940,988,661,031,174,250,367,862,034,432,760,
237,727,920,268,199,188,017,792,177,566,673,258,875,155,957,748,196,384,254,
385,490,084,530,940,099,652,479,644,723,553,757,668,800,482,729,187,313,401,
106,222,910,388,134,645,053,345,307,715,806,258,723,061,212,316,686,882,200,
440,122,085,583,163,445,082,095,321,972,742,717,696,549,247,956,370,609,176,
845,260,004,395,673,204,007,231,018,293,592,514,986,701,591,403,866,037,893,
174,848,892,244,414,493,137,326,182,812,639,094,326,392,638,733,445,908,757,
564,672,866,449,989,945,493,302,339,721,240,182,827,763,904,997,461,550,188,
143,819,965,051,931,853,627,317,984,024,525,708,235,308,561,663,481,728,265,
604,426,625,769,640,470,810,530,079,865,366,244,299,705,891,199,424,806,887,
980,247,733,551,605,007,390,098,885,879,828,007,588,072,095,642,419,107,428,
742,948,194,057,779,856,211,542,508,646,470,115,589,475,198,787,416,805,551,
893,483,100,638,829,490,035,643,891,132,710,284,056,106,486,644,411,832,319,
058,028,107,218,781,321,885,795,128,818,448,267,580,853,811,846,334,278,698,
955,902,535,643,459,666,619,950,993,366,882,767,383,297,230,445,748,746,196,
907,490,635,181,640,031,432,315,647,970,542,001,470,335,137,611,752,728,123,
411,489,422,635,657,590,930,837,109,731,726,335,843,164,651,728,589,240,591,
242,453,875,573,251,305,467,962,116,384,136,289,583,150,869,342,283,267,778,
642,480,654,939,393,776,074,835,006,810,177,524,598,416,116,575,666,366,538,
820,452,166,919,812,533,908,507,088,385,289,899,260,417,185,112,157,179,438,
495,458,094,573,800,513,969,243,541,098,301,270,105,628,560,904,192,606,639,
784,394,924,622,707,238,870,215,447,361,610,003,516,669,082,404,769,171,534,
385,672,631,425,439,689,932,007,596,981,604,606,825,867,743,570,342,519,346,
564,842,531,873,270,452,589,478,249,088,951,398,912,976,498,664,925,053,793,
760,046,451,554,740,468,451,230,631,950,212,365,699,669,863,421,009,866,290,
039,683,178,234,853,058,638,524,175,979,852,081,402,815,746,596,135,827,167,
793,132,458,335,078,084,660,116,104,054,411,180,736,510,041,447,032,291,385,
577,812,113,291,228,408,317,300,968,263,364,072,674,637,923,904,174,671,952,
445,502,143,518,801,950,029,774,532,665,547,961,478,098,135,056,774,558,430,
477,922,997,079,028,641,353,217,963,518,036,750,930,919,455,124,480,770,785,
438,585,359,223,195,826,208,482,699,040,729,765,776,859,456,872,288,683,537,
503,890,436,958,300,101,663,734,539,087,615,038,941,577,578,323,059,124,068,
862,326,677,100,275,728,250,716,679,388,050,642,581,323,016,257,018,205,305,
664,717,009,644,598,971,758,154,634,454,422,609,199,670,427,989,622,658,137,
850,141,299,922,170,667,039,068,125,379,097,942,761,891,333,328,983,480,092,
900,395,985,867,080,863,537,560,323,437,139,002,214,562,528,485,392,499,519,
366,966,123,402,531,805,290,857,675,388,220,490,425,356,351,420,760,373,947,
464,347,292,531,760,794,093,632,172,087,067,805,817,455,868,179,396,932,943,
749,171,485,953,601,995,643,326,375,713,806,725,061,832,541,293,340,840,782,
993,018,205,804,428,460,296,589,516,736,128,672,567,967,233,112,770,482,107,
351,928,747,723,863,142,576,802,203,808,953,705,730,647,339,172,187,744,112,
208,509,633,378,861,897,499,532,291,588,640,931,670,924,096,595,981,922,745,
850,581,532,869,631,036,199,731,242,024,405,240,991,890,310,805,480,249,569,
031,567,147,398,106,120,592,348,926,863,965,628,388,624,200,223,312,459,526,
607,422,368,952,291,500,785,345,254,168,441,742,592,536,713,325,984,522,606,
509,326,414,647,913,289,825,876,054,644,044,138,028,016,359,105,385,703,175,
090,651,533,464,204,004,344,547,322,863,595,176,949,400,664,594,377,394,873,
158,780,697,402,518,098,110,481,220,476,986,061,701,540,019,431,421,881,835,
798,705,280,747,197,340,836,978,808,633,416,741,122,181,689,105,790,438,401,
761,564,883,307,420,724,568,358,314,219,581,042,951,363,602,286,192,233,821,
103,944,813,458,443,780,806,710,469,484,476,103,826,329,301,881,655,259,052,
488,020,792,823,282,446,087,932,702,593,365,334,832,035,549,221,328,420,106,
974,604,999,242,545,589,492,852,420,494,846,267,812,518,615,476,595,453,566,
159,031,358,039,333,628,630,128,771,853,927,764,778,926,730,039,910,225,419,
559,909,451,103,191,917,709,300,623,103,302,070,732,350,592,977,695,750,962,
988,590,473,876,720,030,702,026,502,883,892,689,358,322,561,115,883,200,152,
217,280,260,682,056,356,854,496,141,273,564,709,006,422,072,575,233,773,602,
474,223,709,144,108,849,226,627,603,045,623,891,121,222,715,426,256,594,745,
958,604,370,358,030,440,415,649,388,116,361,729,071,630,467,077,300,918,514,
169,577,487,016,629,578,165,300,780,582,166,432,546,581,099,406,646,667,985,
897,836,788,628,764,467,345,394,448,884,621,238,033,002,764,850,649,168,447,
071,886,691,999,265,086,527,827,295,707,489,458,658,068,720,774,404,506,720,
915,545,706,064,978,740,734,977,982,467,894,794,586,762,377,772,478,864,809,
040,726,748,213,267,310,232,408,175,699,140,706,927,327,155,999,617,509,614,
004,183,607,711,674,263,828,446,417,771,552,500,489,131,672,349,738,513,618,
498,420,553,172,471,138,707,378,256,762,172,278,116,208,268,289,311,769,239,
506,012,166,388,558,135,740,672,216,077,072,178,493,449,327,658,058,183,857,
231,081,455,227,963,258,061,086,618,079,343,765,470,227,153,721,562,461,908,
322,453,304,493,126,940,279,778,540,991,416,040,511,249,420,204,022,859,381,
353,063,045,632,740,664,533,300,168,588,570,185,629,020,142,266,312,498,462,
261,463,654,275,765,259,021,062,611,274,388,915,375,694,244,006,027,884,441,
821,203,639,934,931,899,519,514,893,568,933,157,847,830,575,598,924,607,911,
697,293,432,852,693,087,001,436,635,001,835,886,400,349,250,749,249,648,337,
906,788,658,533,124,564,886,277,666,867,147,755,433,778,084,374,026,739,178,
969,275,295,672,137,477,511,331,972,257,104,151,681,592,655,414,134,009,088,
256,619,185,139,426,469,212,743,571,737,849,747,218,432,528,075,280,380,838,
296,271,920,490,357,836,074,000,952,281,542,830,059,013,477,659,890,513,419,
127,285,846,549,654,823,237,410,911,404,120,237,058,615,828,631,348,960,592,
299,119,194,121,653,602,635,624,464,244,854,409,322,615,922,982,585,511,918,
954,629,638,631,987,758,395,365,712,294,522,281,078,095,417,631,284,265,009,
951,932,885,232,928,462,284,781,477,231,349,407,470,419,516,425,140,311,246,
798,813,288,188,699,417,395,409,678,842,592,880,879,016,635,176,358,767,102,
717,829,427,742,584,700,965,846,859,958,969,211,338,084,824,166,923,980,624,
489,914,509,812,484,277,267,554,491,819,006,040,431,956,632,481,164,418,331,
175,253,852,035,787,934,657,754,669,739,105,889,658,311,193,986,829,893,820,
500,683,351,390,942,835,328,177,136,840,564,703,387,786,936,673,955,132,990,
604,628,971,146,899,667,931,494,164,668,679,660,000,559,515,758,089,833,161,
805,505,985,910,508,467,520,535,337,003,693,590,863,919,292,267,443,161,345,
307,553,124,695,651,356,317,388,407,273,824,850,407,625,399,472,344,549,263,
393,465,989,284,864,533,823,787,816,684,517,637,807,969,428,667,452,363,546,
916,517,557,747,603,072,201,800,692,971,144,059,281,922,803,278,746,570,831,
269,109,646,224,454,316,480,433,977,138,158,553,684,436,321,857,971,154,640,
836,560,514,359,181,838,679,469,343,045,343,516,513,956,072,545,951,688,176,
558,986,390,609,807,112,221,077,361,294,438,700,743,843,710,109,436,621,469,
572,742,593,055,572,142,895,045,748,885,856,325,432,970,271,692,333,545,420,
363,978,647,467,100,126,666,561,791,532,815,163,453,546,513,281,782,866,281,
923,166,160,957,732,085,925,144,291,675,136,627,300,577,225,883,971,410,180,
099,834,718,456,346,216,199,442,028,750,480,740,703,777,222,918,138,542,424,
316,296,208,142,704,955,295,990,499,167,747,845,030,234,126,967,559,638,590,
439,355,300,848,343,174,789,185,251,710,416,129,580,366,637,554,529,666,266,
900,858,573,344,391,616,048,118,164,847,926,207,497,128,564,595,539,547,429,
905,197,479,397,488,962,080,918,337,559,945,736,987,458,331,178,545,581,301,
781,921,479,713,512,877,879,059,554,557,490,914,723,768,402,883,021,627,104,
962,029,132,773,962,236,712,833,387,250,831,529,939,227,366,546,880,444,471,
053,313,455,586,725,528,318,139,322,287,708,226,781,534,995,490,548,776,260,
912,833,426,133,841,178,264,725,768,071,640,500,505,851,767,206,994,549,845,
652,127,247,953,557,610,527,737,386,977,907,045,669,430,643,576,493,228,861,
286,219,979,655,550,622,204,582,135,827,174,601,576,869,728,447,172,473,043,
173,300,516,411,998,301,232,030,661,618,808,158,626,876,019,563,473,891,362,
360,989,408,432,729,867,759,755,108,034,607,051,716,733,136,685,426,774,149,
564,730,359,850,002,400,345,563,225,261,030,745,151,368,120,349,092,873,632,
135,019,962,516,375,801,112,408,675,474,967,876,097,972,966,489,896,229,777,
601,945,780,556,499,405,227,263,953,909,034,166,580,657,264,398,411,445,806,
900,759,800,102,833,367,709,959,649,812,278,172,225,147,216,960,777,896,246,
708,052,352,108,247,744,416,921,584,660,043,913,505,787,646,942,376,833,018,
028,344,574,317,355,625,305,021,072,963,705,272,972,319,299,336,836,261,245,
492,865,120,892,487,334,135,238,840,532,151,264,609,092,405,107,830,851,443,
355,857,772,800,916,954,928,627,231,713,328,550,822,976,899,145,335,708,314,
269,319,861,129,396,117,350,062,182,227,741,385,711,735,694,392,873,257,790,
675,800,579,134,737,596,313,951,293,140,307,540,717,343,866,482,589,343,955,
058,264,427,908,411,947,140,545,445,432,024,287,053,730,675,577,906,883,696,
186,998,513,262,206,628,030,447,050,385,996,355,287,020,268,459,545,543,375,
037,409,344,524,717,750,117,312,627,753,067,566,780,655,955,651,653,374,907,
925,949,292,639,964,721,645,053,176,408,112,855,369,186,895,930,027,484,992,
166,446,557,461,373,727,659,974,689,425,321,488,724,002,217,430,862,781,286,
602,643,698,301,493,426,715,909,786,748,264,502,978,072,450,158,168,509,831,
707,862,903,256,271,806,380,025,147,607,985,750,366,957,353,989,503,218,334,
217,797,914,817,536,393,009,383,772,780,431,647,301,844,151,958,390,386,477,
315,941,294,092,571,845,031,136,847,962,342,104,888,441,718,471,473,351,739,
720,378,797,682,506,490,049,397,999,343,290,136,989,817,200,720,902,514,222,
520,832,748,132,714,249,365,997,959,830,501,276,817,281,651,589,506,979,913,
968,665,829,538,002,957,931,390,687,401,973,412,068,050,021,368,851,750,022,
274,357,187,471,115,246,242,390,796,996,703,019,265,313,906,711,692,448,129,
523,422,663,427,951,776,639,720,302,810,559,106,473,091,894,439,983,212,711,
774,605,938,598,309,560,810,312,213,150,288,593,846,743,736,061,587,367,534,
805,534,387,284,507,221,941,830,187,513,878,619,202,856,741,459,656,810,566,
377,409,909,515,079,004,483,319,306,628,387,172,584,596,890,976,005,240,406,
627,162,636,234,600,895,659,161,304,641,791,555,743,494,227,028,317,287,695,
181,441,086,327,733,513,475,667,786,306,442,573,306,819,740,103,258,816,639,
163,334,763,244,169,472,079,748,194,435,131,726,047,424,644,192,975,132,120,
251,836,393,645,740,106,005,505,089,978,182,737,171,286,749,142,932,674,530,
210,013,960,500,392,415,085,894,747,277,419,775,267,294,418,306,488,158,245,
737,526,972,833,381,627,345,154,071,002,993,542,153,820,626,037,365,640,544,
106,646,158,271,363,143,625,274,405,859,472,343,015,427,057,705,369,914,588,
571,198,458,870,542,301,949,617,177,506,034,296,421,626,837,753,603,151,564,
540,920,333,307,991,472,473,166,571,285,869,670,746,485,425,386,915,401,104,
835,115,251,930,848,605,259,222,575,063,329,042,121,323,209,059,981,738,535,
065,000,549,437,781,619,849,328,947,277,458,189,220,960,184,276,456,241,655,
896,407,463,993,291,870,760,418,838,023,217,694,327,523,137,334,073,135,356,
034,172,725,699,347,240,391,419,513,684,187,206,956,522,901,390,229,318,704,
598,477,151,780,484,251,747,050,300,630,852,253,677,999,549,544,388,996,002,
926,737,893,276,449,255,800,976,987,084,276,574,925,799,488,884,070,029,665,
138,782,798,805,909,202,959,356,087,937,073,306,818,910,586,736,903,511,534,
271,271,350,382,224,241,329,323,814,712,048,936,092,152,576,585,614,970,664,
142,714,832,159,853,302,246,393,769,406,121,528,636,041,210,185,729,345,710,
208,664,639,178,441,111,378,765,142,721,103,313,426,558,125,823,787,946,261,
061,831,552,458,705,845,973,449,306,689,270,421,342,633,630,997,190,182,620,
036,039,971,324,594,516,881,511,467,258,182,713,758,765,873,853,325,379,744,
527,734,861,347,157,731,628,767,231,538,146,653,234,801,405,482,026,329,407,
768,866,873,542,623,507,147,259,841,815,178,789,055,801,248,168,298,337,865,
851,266,358,971,952,578,943,153,774,088,125,883,711,255,938,332,780,743,144,
773,237,961,387,023,096,825,165,427,956,835,664,282,455,714,944,530,177,153,
094,982,727,179,536,487,664,106,641,535,039,662,399,851,976,965,563,668,040,
648,843,558,261,674,073,705,198,826,717,052,396,248,267,870,218,936,099,929,
787,358,013,934,622,827,698,050,416,995,421,542,456,304,815,567,006,146,808,
395,074,529,969,213,150,591,550,508,996,251,337,655,959,774,077,364,768,110,
573,995,438,523,168,593,662,875,605,036,665,820,979,036,920,170,038,888,077,
512,011,621,479,267,481,095,174,952,555,490,826,900,386,589,699,867,865,691,
811,893,212,576,095,201,881,903,912,692,673,622,530,499,907,353,464,140,875,
953,985,032,485,605,930,857,604,363,637,455,825,181,446,134,018,423,975,084,
799,225,258,891,909,328,642,366,568,240,813,436,181,222,734,514,850,454,587,
172,707,981,436,233,577,747,159,344,430,635,989,018,478,171,941,472,678,800,
335,861,130,725,701,836,773,325,865,737,144,871,129,757,229,589,351,844,626,
566,592,252,011,563,437,182,042,007,886,153,918,660,611,628,606,181,586,636,
827,115,891,593,835,686,982,299,747,414,037,312,628,156,833,257,609,269,151,
643,223,662,979,103,339,239,118,468,553,138,414,789,722,124,263,649,103,010,
225,133,973,310,375,794,478,215,599,833,142,250,977,960,122,827,380,523,002,
473,213,154,219,288,864,364,684,799,088,339,726,626,221,278,897,678,985,519,
948,119,948,087,092,467,877,634,375,364,724,649,240,759,673,438,432,034,138,
425,614,613,082,152,068,899,428,921,802,086,571,356,380,555,103,010,313,122,
644,720,841,209,485,928,335,507,932,943,936,762,604,582,998,498,853,790,844,
581,295,836,124,697,635,526,763,880,839,631,136,171,105,393,065,021,771,028,
573,452,324,687,582,330,247,595,183,224,325,317,263,384,351,448,154,683,956,
920,849,040,150,510,627,166,637,300,691,068,579,953,195,956,667,393,279,642,
546,298,787,019,868,517,316,581,712,111,460,134,999,676,028,558,523,954,608,
265,383,862,538,597,461,175,266,647,088,916,552,206,337,617,521,070,380,503,
551,655,114,105,042,392,868,953,083,284,567,089,942,999,075,714,527,365,349,
093,057,492,201,139,854,275,201,370,043,529,024,937,843,192,647,133,972,266,
746,834,805,957,858,950,701,349,957,416,144,410,660,749,625,001,955,017,148,
493,662,336,826,746,766,447,316,126,488,266,160,179,939,185,867,888,669,624,
006,945,221,022,955,397,387,661,281,177,420,586,940,467,134,257,621,910,319,
658,940,893,250,836,934,939,873,616,202,096,949,787,641,838,785,016,609,318,
602,894,706,417,736,971,318,484,465,055,735,059,119,547,069,965,631,938,339,
370,415,150,884,823,707,066,819,803,465,947,703,815,937,609,246,691,510,348,
797,964,294,934,395,215,455,291,803,539,649,587,163,236,991,575,809,329,322,
316,096,142,704,928,600,175,830,632,907,906,691,380,484,004,330,632,389,005,
580,267,139,445,636,898,046,545,903,001,307,114,083,215,389,725,299,447,746,
593,949,411,593,272,212,522,026,816,317,357,977,326,320,123,251,762,161,329,
216,174,190,574,696,856,762,171,320,647,839,521,444,512,041,097,880,935,314,
992,613,684,160,986,163,492,883,824,239,047,532,081,773,323,817,925,387,827,
383,147,872,902,581,781,148,064,039,933,320,628,642,564,114,492,164,355,604,
873,727,627,277,805,645,932,779,231,015,918,859,281,273,255,884,784,465,186,
962,233,386,776,636,585,188,827,066,824,152,957,452,082,887,038,991,441,898,
409,864,780,356,774,454,221,258,697,110,791,741,511,715,664,014,187,666,979,
864,183,186,797,704,235,425,639,179,084,402,278,413,571,528,400,330,001,641,
858,108,295,547,734,865,833,055,399,160,051,378,596,099,011,579,059,967,607,
027,051,659,812,225,169,259,091,565,227,738,829,399,245,366,388,157,828,959,
247,589,228,100,028,211,511,540,837,767,557,228,229,277,444,061,305,028,143,
472,853,341,357,240,948,811,982,132,346,191,129,628,008,374,449,189,225,138,
037,405,547,668,796,951,491,978,328,482,029,688,403,065,691,665,973,993,519,
518,866,940,480,896,550,956,578,491,240,745,903,676,500,256,504,297,007,284,
279,907,396,355,992,196,919,820,570,183,337,064,328,774,533,304,558,229,249,
840,292,067,716,911,216,166,284,126,312,291,847,161,575,610,890,562,409,565,
557,316,511,584,310,859,969,802,000,884,368,355,860,558,499,168,756,863,241,
202,064,007,889,582,134,883,007,034,760,499,584,120,579,404,464,756,901,560,
597,450,182,813,567,771,400,334,763,450,609,833,196,034,590,940,252,522,429,
682,038,108,529,492,280,737,046,619,987,924,812,016,022,883,826,654,547,852,
424,974,045,524,385,849,317,042,588,082,360,866,225,157,935,798,234,338,546,
400,291,917,249,218,774,668,896,470,054,580,836,013,879,384,074,100,314,603,
754,453,930,384,828,391,917,063,741,065,835,658,350,359,222,674,649,567,440,
684,656,993,277,708,986,629,770,613,084,183,601,333,574,896,970,509,365,952,
539,679,595,922,125,786,026,099,314,994,201,617,713,496,060,337,648,881,853,
394,292,301,095,232,800,822,554,746,912,395,893,062,643,099,844,682,906,772,
801,617,277,028,333,945,274,427,305,397,350,815,723,312,276,415,600,541,984,
641,588,443,495,867,686,986,090,483,117,128,417,068,688,883,585,362,135,481,
983,676,708,914,541,364,136,944,763,738,836,496,018,912,044,720,879,160,164,
476,779,150,995,793,186,703,894,397,612,730,092,573,126,325,511,939,036,713,
218,946,413,253,268,838,538,205,766,154,882,292,792,988,112,943,413,585,480,
238,208,548,541,299,766,196,250,920,947,219,099,881,545,475,813,628,825,780,
784,033,619,859,209,667,822,829,064,397,253,058,409,552,210,947,600,614,472,
247,527,298,220,086,736,083,119,974,053,489,066,701,757,852,463,967,236,344,
158,590,704,350,380,257,370,026,023,835,987,106,818,825,405,816,741,860,888,
770,793,833,911,206,454,445,129,519,512,962,266,900,964,998,820,802,423,078,
635,186,580,389,577,177,151,494,937,796,025,938,371,016,079,422,271,289,456,
003,501,901,422,208,946,293,269,796,326,457,552,806,372,593,401,084,529,742,
845,393,189,716,715,245,139,769,714,666,951,343,975,757,111,823,825,261,300,
121,723,379,802,461,246,971,152,973,128,193,485,764,130,698,968,473,518,665,
896,517,333,785,555,789,559,764,643,529,038,417,302,560,344,921,575,777,508,
225,951,719,493,571,966,995,024,688,680,182,873,917,178,132,542,667,189,033,
897,327,312,803,041,348,671,304,485,298,553,584,972,386,781,223,439,357,068,
127,434,804,245,652,916,286,446,540,444,571,729,285,054,864,369,071,129,018,
965,994,786,946,105,807,881,254,300,732,630,661,226,854,485,195,309,752,601,
932,637,721,703,383,437,166,884,958,660,877,692,955,446,704,982,711,581,949,
686,972,575,315,216,668,735,454,551,880,472,727,386,963,810,949,706,636,306,
775,024,436,629,512,008,790,783,181,760,842,195,375,472,241,269,047,746,178,
208,767,445,195,268,505,267,850,691,896,255,440,430,119,528,338,650,145,450,
928,849,451,707,295,568,210,698,376,559,232,483,887,424,578,051,456,832,522,
482,795,103,150,134,138,670,290,630,191,643,000,585,498,304,034,980,237,395,
645,141,250,761,381,739,485,737,661,693,405,575,703,224,141,369,216,003,007,
119,200,688,513,160,101,513,381,727,755,958,809,185,958,363,811,404,503,483,
253,101,864,307,997,329,889,507,369,025,578,813,153,945,877,860,417,370,706,
721,394,495,146,748,433,794,895,559,162,135,501,567,249,519,660,879,037,979,
871,255,242,237,316,503,969,200,317,257,120,816,836,528,419,928,039,136,756,
788,806,299,504,021,577,994,685,244,459,229,936,383,086,933,352,153,808,677,
249,680,271,929,305,591,122,055,068,963,834,599,748,790,260,927,764,684,692,
400,053,095,967,767,676,132,993,437,146,338,337,533,604,563,030,908,359,813,
030,763,359,024,832,272,797,129,857,729,734,119,912,434,490,300,042,219,902,
683,523,080,243,581,203,252,052,712,511,601,707,848,144,891,462,075,988,320,
622,136,045,502,744,489,250,318,381,229,849,116,712,896,935,364,259,107,792,
234,770,872,301,441,308,256,086,857,773,137,937,706,370,124,849,146,845,655,
601,867,040,017,960,832,450,029,090,440,119,859,317,182,658,075,120,254,158,
220,320,809,991,219,964,367,538,401,814,542,382,062,713,483,461,961,490,864,
328,570,382,174,073,463,022,046,306,484,470,242,358,324,413,267,054,972,409,
079,616,933,604,154,245,850,235,985,753,555,349,452,585,573,793,117,363,120,
657,859,763,303,034,027,096,425,185,482,650,096,484,211,729,720,399,832,284,
983,995,447,933,925,909,642,228,019,488,847,734,806,340,798,304,351,573,878,
376,492,374,792,799,295,789,022,253,286,025,576,851,387,673,268,116,961,666,
040,272,030,758,721,904,792,945,620,530,209,832,439,061,804,406,700,306,028,
652,110,870,751,141,155,805,238,228,022,869,991,874,462,574,386,378,035,897,
729,233,972,870,883,140,748,633,656,417,222,131,387,672,001,847,091,453,866,
199,031,286,316,936,119,504,693,030,638,356,754,684,038,390,868,268,098,532,
206,981,070,854,988,445,771,304,843,688,756,698,272,202,604,758,750,187,824,
041,176,192,873,696,685,071,138,487,063,038,657,336,319,767,935,255,997,960,
105,902,270,965,576,466,172,619,439,192,345,768,673,123,645,731,248,942,995,
727,588,881,079,621,629,199,282,868,767,553,065,892,804,717,801,675,192,112,
012,301,182,704,411,789,847,735,366,707,550,930,143,539,835,687,517,047,259,
441,571,011,686,136,450,347,425,758,148,921,979,314,081,799,864,117,099,919,
280,408,594,746,390,476,894,593,664,427,236,590,671,364,626,936,430,767,709,
729,408,500,834,463,677,788,898,599,858,041,245,680,740,750,492,737,454,185,
044,786,741,119,889,048,905,012,000,432,508,988,579,677,224,444,924,487,587,
072,429,474,688,346,042,769,468,361,529,499,938,510,384,501,296,785,121,553,
334,355,962,029,274,222,209,057,388,145,411,412,535,669,265,729,752,675,074,
435,055,081,046,106,602,933,867,526,691,241,801,942,347,833,461,989,929,771,
406,048,998,037,077,626,568,761,966,752,255,029,274,974,591,624,862,015,301,
026,382,482,160,324,271,399,325,971,971,647,223,386,729,619,461,005,623,255,
480,729,968,890,087,638,119,778,505,102,725,924,246,851,124,814,423,114,522,
831,791,096,871,131,709,187,374,774,076,777,756,902,842,090,105,282,879,154,
653,863,539,294,533,886,868,475,777,682,966,571,595,728,201,600,800,442,205,
489,795,970,400,073,660,190,768,255,365,382,423,312,725,302,722,787,641,742,
497,214,430,874,563,516,678,933,942,737,206,079,277,864,305,309,262,176,749,
143,680,446,570,122,075,610,011,188,314,727,825,658,570,234,531,665,989,118,
494,586,165,233,745,109,452,117,168,622,731,442,372,966,212,978,822,058,612,
424,906,598,300,448,016,688,865,501,639,057,354,489,892,473,490,912,255,901,
185,381,028,833,297,949,934,251,208,799,542,472,054,681,407,229,762,521,352,
753,725,903,174,442,464,037,254,298,701,005,986,080,935,554,349,917,601,551,
361,445,621,155,584,956,492,896,218,562,710,544,247,669,462,518,557,655,171,
789,788,278,234,811,114,535,713,750,000,350,409,960,397,849,696,755,066,003,
396,775,268,090,590,456,482,795,852,943,122,612,492,356,966,436,089,599,104,
350,567,784,963,000,307,967,008,278,329,008,176,181,888,080,371,845,391,014,
894,177,673,855,825,147,692,456,250,510,525,298,972,000,763,925,451,727,824,
589,345,831,344,097,691,689,717,745,078,009,531,405,712,589,587,684,600,447,
476,666,924,053,779,544,105,617,780,447,298,006,999,599,569,719,537,872,207,
456,666,562,525,085,796,071,228,785,417,231,044,987,378,201,784,540,017,424,
636,358,610,007,700,729,818,794,011,825,110,669,344,429,472,551,237,499,691,
594,223,922,599,670,751,372,144,129,354,110,176,532,378,431,148,010,020,743,
628,094,040,612,716,162,908,158,591,454,792,705,261,542,308,126,828,707,338,
882,796,191,303,176,684,602,523,419,398,509,002,957,864,745,018,220,303,648,
785,682,934,593,382,114,528,745,059,392,109,133,784,804,087,456,165,836,610,
400,284,615,852,812,774,118,370,586,361,598,666,926,200,571,681,107,906,692,
667,373,125,537,938,254,673,698,108,553,032,945,164,692,573,802,626,725,732,
414,692,122,721,582,575,767,553,470,571,076,838,135,152,590,168,091,627,624,
239,055,477,825,917,147,664,738,734,259,062,888,243,748,219,790,384,547,106,
379,253,262,138,666,248,579,438,885,253,251,690,745,371,036,166,711,884,230,
538,240,406,232,680,726,859,337,998,361,504,559,602,448,393,174,206,500,406,
948,499,186,084,200,741,440,110,782,207,325,623,757,882,039,374,272,862,300,
242,641,293,715,320,890,295,203,212,569,042,975,283,422,683,416,514,405,496,
930,191,323,545,967,935,653,093,037,627,243,779,210,463,473,383,604,510,195,
529,193,476,606,430,717,693,388,235,854,742,786,905,641,729,665,328,105,100,
245,017,804,285,111,413,730,447,747,885,539,099,032,870,272,291,380,235,832,
618,596,022,687,590,657,602,380,951,584,043,028,591,232,655,391,343,980,099,
333,206,822,621,541,670,153,728,973,858,764,844,996,309,942,271,642,627,496,
804,754,450,546,106,543,517,634,111,341,428,713,329,860,401,556,643,455,356,
510,752,289,418,322,349,242,035,411,142,121,220,251,474,288,465,093,993,221,
228,666,076,509,061,285,974,354,737,029,425,759,061,152,693,057,294,533,059,
122,891,671,715,172,399,852,577,337,265,791,880,079,154,248,576,766,329,938,
523,349,946,756,961,915,366,264,252,613,659,712,068,050,409,660,003,929,453,
281,750,855,442,642,032,506,174,676,329,754,069,747,040,628,793,401,807,251,
371,961,529,890,594,297,974,886,216,674,929,162,665,797,019,042,087,036,297,
542,481,218,195,530,106,343,154,101,037,787,476,346,342,945,835,455,409,607,
932,249,668,197,465,734,360,973,172,469,163,022,025,543,572,081,286,845,709,
988,971,717,256,723,958,709,131,199,337,468,350,467,295,557,307,705,844,569,
601,490,674,552,024,398,549,508,502,592,107,039,803,233,810,566,392,657,256,
401,363,806,087,605,656,533,028,736,322,700,595,526,705,597,775,067,686,293,
489,067,465,940,937,346,884,171,175,841,238,353,187,216,563,517,799,591,413,
858,835,931,263,866,140,209,653,369,591,959,936,595,951,616,648,589,042,831,
832,285,637,692,104,378,734,100,965,190,437,652,128,392,516,033,590,114,991,
814,166,773,963,564,317,219,609,703,856,089,757,943,268,977,634,296,439,737,
113,661,110,561,256,550,674,479,908,363,168,870,198,785,813,248,801,937,767,
360,879,016,004,960,870,259,868,221,190,879,170,081,912,878,343,783,115,696,
209,913,048,788,014,828,613,593,755,967,187,667,127,983,214,543,294,383,633,
807,372,200,378,404,155,966,560,903,214,849,812,718,294,147,163,633,649,298,
605,113,721,952,709,887,009,237,624,756,703,465,423,507,347,911,719,239,745,
346,023,234,678,876,459,152,297,958,742,734,474,385,866,542,056,908,143,877,
451,883,174,570,219,456,359,571,442,490,918,544,489,087,508,524,616,825,214,
090,498,216,285,005,559,134,556,334,062,420,617,739,108,508,555,727,363,434,
218,522,060,950,531,796,165,648,265,338,054,471,608,743,666,364,906,879,188,
109,802,704,574,413,968,387,629,006,475,974,579,639,831,567,655,584,010,085,
414,175,930,502,809,824,334,418,814,928,985,647,844,045,256,613,428,887,310,
984,193,663,531,515,722,080,405,850,323,721,251,822,956,136,274,226,304,862,
107,288,609,168,438,907,870,541,203,216,506,094,338,471,982,153,061,586,366,
034,447,241,924,297,727,556,891,814,670,119,830,542,202,839,421,238,577,869,
550,330,359,232,828,301,204,770,711,845,841,914,230,345,231,120,296,034,060,
818,821,099,052,176,703,335,349,787,638,060,873,037,564,874,327,862,939,225,
216,524,860,435,900,848,656,206,680,096,854,621,169,705,292,108,503,744,975,
812,818,393,375,945,431,145,696,375,619,209,494,101,703,741,305,466,945,892,
424,850,758,912,081,076,143,103,778,709,368,615,563,335,989,277,057,955,671,
601,097,330,170,291,943,313,291,099,559,397,675,254,296,533,545,141,103,688,
339,667,693,481,238,623,456,066,292,095,468,762,607,985,381,824,400,353,754,
195,043,388,937,065,889,873,891,003,595,622,313,591,956,941,569,249,926,008,
613,010,234,233,286,595,783,496,488,703,341,017,401,551,780,988,642,213,454,
744,081,737,489,484,173,644,213,934,752,340,135,113,076,155,875,787,926,601,
717,442,571,611,849,450,254,206,290,112,555,964,534,809,133,233,117,689,365,
050,357,328,444,748,011,556,080,337,715,716,216,860,507,492,645,495,493,542,
128,523,671,488,718,960,120,086,859,913,653,716,190,180,040,207,580,732,315,
537,868,681,472,790,500,274,086,012,651,497,468,007,702,233,985,175,352,575,
613,417,888,570,463,584,711,194,903,208,135,038,822,426,630,352,736,501,105,
322,739,733,502,269,483,264,287,233,236,101,351,886,631,528,079,785,506,298,
990,051,622,596,666,984,676,005,912,017,186,163,601,562,431,187,828,705,154,
754,821,138,364,024,420,161,782,040,424,373,140,055,867,489,598,698,574,200,
834,584,831,976,468,637,851,456,655,806,368,378,246,990,631,947,683,337,385,
384,342,663,441,683,484,694,402,384,480,247,906,416,065,116,929,419,878,824,
227,058,956,406,530,087,740,132,329,673,143,866,689,155,508,958,284,944,295,
326,929,767,617,465,600,040,190,284,357,471,449,421,895,311,793,239,612,332,
047,965,567,646,441,142,735,566,022,020,254,402,210,962,571,837,024,611,907,
355,989,377,285,560,410,046,985,315,040,709,905,743,768,779,469,496,184,127,
772,351,978,816,373,930,194,819,764,521,545,191,491,640,114,776,354,375,511,
641,577,208,290,170,238,887,630,605,094,331,110,256,500,033,442,622,711,571,
559,354,497,494,992,983,579,359,265,063,844,107,669,388,999,829,744,113,205,
919,061,924,319,407,684,126,692,549,929,823,554,938,717,997,649,621,440,327,
842,770,384,270,862,292,214,028,214,428,242,963,023,913,420,814,336,755,694,
286,110,488,955,229,599,106,840,632,383,617,651,132,270,785,662,197,308,406,
766,418,643,014,259,600,187,851,128,813,822,700,225,365,079,725,677,183,345,
540,494,432,389,409,279,155,264,508,184,082,250,441,605,240,560,855,679,606,
867,116,082,242,209,267,303,981,242,372,592,508,343,015,484,347,093,491,993,
439,107,663,146,565,868,957,047,154,278,359,665,118,696,912,399,293,333,794,
067,892,061,834,665,193,632,441,933,709,098,733,942,540,668,260,586,935,812,
940,358,955,279,463,634,755,685,876,939,744,291,197,649,218,737,479,024,264,
088,090,857,574,978,027,228,731,019,000,956,772,581,929,158,538,742,705,872,
238,950,232,674,725,076,627,443,429,198,129,459,776,403,376,580,125,127,089,
379,517,617,198,788,317,175,657,717,990,114,546,538,689,806,913,590,195,497,
551,605,605,249,980,856,978,216,940,908,177,414,811,186,943,712,618,267,124,
451,613,602,401,815,337,676,081,442,105,446,300,959,126,414,098,691,632,831,
179,705,907,117,150,882,589,602,429,704,717,235,167,593,411,866,386,859,532,
242,722,992,655,704,293,438,332,174,103,442,009,922,935,968,200,670,010,089,
506,983,251,755,363,143,825,040,409,998,534,748,089,679,358,267,538,202,888,
775,825,158,430,868,376,083,070,282,945,819,875,622,954,981,096,377,073,020,
105,066,924,549,489,819,815,492,279,621,147,525,605,510,214,341,909,956,525,
026,659,067,490,074,278,523,413,365,532,027,237,351,331,867,852,809,776,838,
491,510,011,497,656,850,730,241,547,277,707,836,570,222,867,522,767,704,896,
365,095,718,765,814,598,076,724,187,236,821,875,407,957,595,888,323,415,533,
769,889,489,462,204,426,732,633,927,216,649,121,434,720,577,196,612,797,874,
077,340,557,609,433,838,439,431,541,178,649,420,628,071,637,558,199,002,305,
450,183,629,803,387,563,815,846,506,400,947,422,453,059,216,767,422,614,008,
921,424,847,546,367,178,934,771,481,795,617,297,612,653,370,096,804,889,378,
841,855,187,695,747,849,988,672,180,446,184,975,884,720,501,472,822,329,168,
728,438,721,697,645,657,424,596,084,481,078,125,809,009,524,966,503,104,301,
548,264,981,121,211,183,899,484,416,240,605,117,003,007,780,786,135,912,282,
621,873,359,755,217,063,219,695,617,587,540,442,764,542,577,317,142,949,642,
316,384,092,502,608,367,988,335,769,020,180,787,569,684,626,772,360,242,261,
439,129,484,590,365,392,791,369,333,282,068,165,257,000,815,313,057,371,549,
381,242,482,264,467,784,574,961,202,908,907,060,497,418,673,204,948,008,187,
037,115,046,947,836,785,785,149,662,340,076,106,655,464,833,289,007,521,161,
009,479,191,169,528,458,290,296,130,433,280,751,284,577,497,700,784,638,307,
634,977,563,619,730,426,233,940,080,668,845,224,844,108,562,331,787,042,482,
992,202,092,544,403,095,854,406,418,238,140,698,494,553,838,944,125,488,343,
259,993,638,160,496,418,176,047,738,111,140,770,196,321,605,139,305,617,731,
670,879,377,709,307,931,505,718,054,234,212,482,168,890,198,345,544,622,641,
106,985,813,612,616,081,810,722,284,936,028,440,065,533,543,240,003,600,889,
476,064,012,326,208,010,989,189,367,915,240,031,698,752,015,739,978,676,546,
912,144,787,152,381,033,715,606,851,483,008,966,075,779,659,310,793,382,222,
952,441,528,604,676,002,836,762,083,453,750,431,970,190,536,574,718,647,589,
538,052,211,023,711,718,730,203,372,348,679,017,937,835,801,149,129,046,098,
586,292,805,483,474,102,722,711,685,412,837,448,639,895,776,680,065,578,085,
347,834,709,015,284,403,571,277,267,849,641,581,081,392,142,814,535,700,245,
453,825,701,490,950,315,291,691,882,381,165,116,710,744,159,836,629,537,873,
653,765,118,211,532,408,761,488,445,131,142,802,091,325,542,155,691,122,308,
409,849,594,815,974,763,575,189,636,144,009,523,145,114,298,766,059,891,416,
264,003,853,198,504,183,631,612,533,476,151,697,462,938,457,150,649,634,017,
934,090,252,927,996,265,117,008,331,799,205,208,962,812,651,625,908,931,010,
805,636,041,531,470,136,535,395,523,670,146,732,472,656,585,860,206,016,326,
323,728,351,872,810,534,279,559,817,208,280,116,724,182,041,311,919,183,875,
189,641,468,501,856,259,306,736,068,402,969,990,215,354,623,042,950,163,079,
295,424,062,130,874,313,763,528,304,987,879,986,245,534,644,432,829,490,713,
795,305,909,916,513,064,761,055,150,616,902,142,464,023,526,996,312,844,229,
926,265,346,867,998,575,896,824,993,434,294,361,513,251,512,006,463,710,022,
065,682,437,389,163,482,228,732,949,193,480,429,399,344,102,338,721,985,575,
428,438,808,719,776,421,057,984,360,190,947,175,245,060,108,623,331,133,128,
746,027,380,179,311,973,494,938,370,487,597,915,815,365,212,928,128,587,311,
988,107,551,009,685,977,983,321,485,960,324,424,271,707,243,907,897,957,262,
364,163,711,656,257,921,175,634,469,723,446,672,600,956,510,957,789,426,355,
679,856,287,605,209,269,124,099,486,273,231,143,629,617,261,433,749,424,035,
711,859,359,228,232,653,855,798,042,898,449,717,840,301,709,930,345,661,390,
800,487,649,176,843,484,849,943,098,994,129,385,095,435,601,153,952,638,618,
724,344,623,804,862,944,074,442,002,715,612,526,227,562,045,300,222,856,602,
850,334,106,072,813,791,095,930,668,237,284,570,506,365,059,272,899,171,919,
121,763,256,366,913,520,854,155,935,028,363,311,389,957,835,190,415,213,755,
209,175,490,218,643,151,771,443,039,258,838,072,016,263,115,430,734,600,976,
858,642,091,374,211,426,623,969,067,081,712,880,122,819,419,722,512,372,707,
170,330,869,141,159,115,069,498,453,076,905,676,241,007,299,772,717,972,151,
451,246,808,102,889,285,050,603,147,248,023,712,243,920,389,901,211,238,757,
595,876,841,573,078,060,238,151,157,143,598,773,704,970,227,622,169,101,255,
092,295,756,190,427,515,526,228,619,876,552,474,262,388,319,499,986,133,359,
574,374,126,834,663,464,640,133,593,066,035,294,564,008,169,587,258,424,729,
854,717,048,431,976,763,952,306,475,225,322,003,494,280,271,129,028,227,216,
807,383,142,778,240,588,397,972,570,493,611,609,519,582,784,159,223,614,552,
278,394,350,348,844,903,892,622,752,659,249,824,316,414,787,055,108,248,882,
122,297,861,528,004,400,231,147,664,333,743,442,826,098,962,597,083,772,338,
933,941,139,686,065,046,899,437,063,877,974,542,226,493,226,766,896,607,992,
324,963,309,638,156,177,031,082,517,968,642,294,533,251,544,789,474,615,119,
407,647,928,908,496,990,566,303,175,421,672,614,519,226,429,691,888,155,351,
847,107,872,262,368,844,143,235,465,871,750,351,957,534,931,258,834,153,152,
814,058,429,088,348,541,010,191,066,026,665,781,815,770,740,532,635,503,235,
732,063,896,345,384,173,353,883,082,547,971,816,341,024,096,193,669,043,575,
667,019,051,166,794,296,159,287,235,043,421,596,523,407,379,979,346,793,936,
953,791,556,012,915,561,388,080,378,974,912,722,168,645,265,768,027,446,948,
754,508,682,522,173,888,237,054,261,992,612,709,932,170,802,435,372,505,373,
836,921,823,765,088,259,361,957,348,392,299,652,478,417,355,021,790,718,740,
279,522,333,921,350,683,886,401,059,584,835,105,757,032,474,490,026,593,208,
171,393,105,182,028,925,758,344,307,039,088,477,767,575,962,611,649,846,793,
979,356,568,651,794,690,574,168,882,813,100,722,697,264,690,876,783,642,158,
157,883,660,263,956,306,257,918,351,137,591,314,771,282,891,220,313,580,407,
952,118,456,309,306,255,941,160,524,942,463,259,686,512,381,284,948,383,198,
726,885,570,524,668,533,904,061,277,197,200,883,684,289,541,587,543,438,248,
630,696,010,069,805,575,200,500,903,738,937,669,967,873,796,506,992,581,547,
751,749,777,472,734,894,608,496,645,686,325,214,220,217,530,280,307,616,826,
842,916,363,132,376,710,959,524,800,635,857,673,649,764,026,543,901,871,111,
833,258,968,093,589,244,530,660,632,432,504,412,629,829,787,131,099,796,607,
486,414,923,270,106,991,694,160,453,488,092,221,912,514,605,084,749,373,274,
152,212,137,688,199,497,883,742,745,456,857,307,799,786,148,151,028,991,400,
021,455,078,340,366,354,556,315,367,155,326,406,706,718,782,946,073,287,432,
852,457,911,726,765,364,627,581,346,719,757,313,511,578,773,154,977,520,111,
740,536,537,454,793,889,128,165,376,493,245,985,735,474,149,333,047,147,789,
200,081,208,784,204,839,409,709,700,579,925,978,264,900,788,404,953,966,244,
217,465,105,841,756,283,786,049,337,076,572,681,235,979,817,465,066,391,962,
292,850,577,501,097,076,184,892,601,494,536,657,572,825,425,837,988,525,038,
588,377,235,770,377,382,552,451,540,584,356,020,957,335,896,693,415,039,645,
899,719,171,391,738,274,362,725,609,227,740,339,648,334,554,344,008,021,018,
494,334,663,528,614,679,414,046,344,381,757,521,211,230,435,444,102,480,613,
232,236,994,659,238,813,294,694,435,203,382,120,064,428,507,339,391,234,636,
780,698,858,111,384,961,950,070,690,652,857,522,638,944,950,744,602,803,246,
218,424,522,432,484,487,073,117,555,552,892,919,967,344,525,043,907,416,187,
927,107,813,204,057,826,713,847,882,288,306,134,685,336,774,808,136,899,971,
446,035,624,856,201,180,449,959,769,619,214,972,440,860,808,231,920,690,223,
973,722,957,607,685,210,873,511,806,354,035,222,181,648,147,277,766,230,456,
745,122,636,607,797,622,392,564,310,644,400,476,134,145,115,128,586,942,901,
492,072,469,735,287,097,433,163,994,294,318,933,933,899,712,104,221,034,953,
189,312,420,331,634,285,418,179,229,794,152,799,796,237,579,408,618,844,399,
671,332,924,030,270,625,077,261,356,267,862,634,997,415,511,047,443,248,855,
155,884,591,720,458,947,230,525,445,127,251,383,927,488,300,195,419,271,317,
906,184,451,355,819,309,153,514,216,672,048,156,597,402,772,774,206,615,438,
891,199,742,217,196,612,420,627,951,908,010,718,685,465,293,695,860,872,023,
413,523,747,908,563,426,786,448,110,711,877,719,498,379,936,878,325,542,902,
493,832,880,263,485,667,523,376,548,065,923,201,983,963,792,072,075,583,934,
701,198,312,662,528,914,835,763,345,667,592,381,978,734,002,598,284,056,663,
380,761,977,208,273,921,400,802,914,445,544,349,089,819,963,471,897,623,306,
330,014,943,211,263,865,224,061,434,578,940,429,097,062,605,513,718,470,527,
010,469,060,750,615,049,966,437,809,881,553,906,131,119,556,762,738,661,016,
130,369,676,731,486,630,374,581,715,049,726,761,595,933,337,118,116,076,554,
387,905,212,693,888,060,583,018,951,101,399,174,372,330,380,141,408,475,887,
780,618,662,206,640,950,272,197,394,040,900,416,596,806,638,679,142,743,591,
012,625,522,980,305,323,341,486,771,087,120,451,537,085,170,162,077,212,625,
289,862,249,229,885,061,973,852,001,921,498,532,500,375,405,615,488,344,429,
696,975,312,423,586,484,439,793,623,663,925,100,222,171,131,942,430,400,297,
838,807,135,766,380,002,513,585,075,445,778,250,761,355,460,185,004,938,787,
049,845,567,353,100,720,121,352,673,257,727,361,521,965,074,550,374,704,765,
847,985,851,074,745,851,327,375,029,318,997,815,215,240,396,559,471,597,536,
447,059,653,269,514,927,056,726,831,648,713,775,856,002,658,338,291,661,802,
667,766,398,029,020,103,082,993,745,654,480,474,190,107,600,930,939,668,406,
742,468,084,806,277,785,666,457,928,114,281,679,513,354,895,137,620,460,510,
552,249,163,223,727,083,248,743,265,428,753,552,383,820,037,872,060,349,054,
470,686,216,486,237,355,092,638,815,145,819,102,468,550,760,650,171,931,706,
835,418,933,975,553,968,193,392,861,621,900,174,388,872,911,239,171,912,669,
647,289,463,011,845,480,922,343,644,045,428,137,442,963,219,696,201,626,424,
910,613,402,523,751,395,159,390,049,029,652,353,203,700,015,193,389,560,812,
792,908,100,051,306,547,181,347,954,465,209,398,526,844,151,988,651,401,530,
787,646,832,830,954,398,311,582,949,282,200,275,085,751,047,354,991,965,156,
729,966,675,869,785,397,474,926,617,968,259,899,181,278,002,360,305,329,290,
504,141,120,560,430,932,538,913,576,900,500,478,753,221,945,668,190,310,346,
478,399,053,801,663,166,010,505,785,475,597,799,311,469,909,987,947,914,830,
175,615,149,120,019,660,652,764,971,351,228,328,408,267,169,214,523,247,788,
085,942,304,063,160,673,858,367,648,156,610,062,191,745,177,539,014,822,752,
897,167,538,121,472,286,050,540,407,298,611,984,447,488,145,668,414,823,185,
262,024,772,064,079,198,617,342,940,993,112,269,901,407,680,156,498,422,448,
692,275,470,900,141,771,545,656,893,867,333,672,521,565,521,875,366,298,598,
144,080,478,115,406,900,940,122,750,330,883,063,700,758,648,885,354,220,618,
629,196,833,230,879,231,182,869,130,520,312,605,618,858,442,939,085,376,975,
192,045,776,805,967,913,494,076,943,783,359,397,214,812,661,624,524,557,552,
100,824,330,064,545,954,480,473,884,334,132,532,517,071,443,529,361,621,538,
068,055,253,102,634,205,356,487,284,268,458,847,329,022,775,967,219,691,829,
603,498,253,791,933,634,529,938,652,044,797,278,329,210,957,228,550,830,849,
517,175,169,434,988,359,795,281,540,350,994,261,545,530,828,355,488,749,118,
250,230,584,060,795,374,379,641,269,277,933,249,212,812,085,555,094,154,194,
406,884,142,790,941,880,490,644,715,493,611,280,836,414,661,736,020,805,703,
456,874,061,857,566,620,763,510,719,819,146,792,864,195,049,736,997,687,619,
195,101,479,556,173,149,063,057,890,072,197,266,912,179,013,455,833,217,231,
354,131,041,467,090,204,032,307,630,353,888,688,366,570,923,872,048,148,422,
839,042,730,743,507,158,659,882,154,203,047,554,245,736,262,081,461,785,255,
259,576,205,137,852,587,883,100,677,668,670,053,947,062,864,281,497,167,537,
383,052,965,021,523,347,247,130,980,696,565,032,174,376,072,361,284,601,544,
311,484,135,740,493,284,254,075,821,262,722,128,010,273,361,522,557,891,910,
465,248,832,298,376,781,514,689,648,296,421,684,847,904,146,732,141,910,848,
606,776,619,152,851,663,924,848,604,280,590,299,709,372,426,247,350,086,080,
438,771,585,903,324,881,034,947,538,848,090,539,708,155,400,635,187,293,450,
739,166,689,133,915,648,280,086,831,944,539,763,773,754,592,137,547,997,145,
505,885,943,214,115,509,987,536,943,752,605,702,471,796,015,466,323,575,371,
003,365,981,520,258,349,679,112,837,115,057,217,059,592,084,440,158,506,759,
415,362,460,338,242,730,688,029,002,692,601,541,726,422,796,165,561,451,270,
837,108,258,005,094,290,122,094,548,203,468,116,323,744,668,077,904,369,398,
996,495,060,262,009,830,825,796,739,194,883,010,324,682,104,776,851,070,952,
026,336,488,507,105,672,151,010,645,142,423,355,033,158,137,270,168,600,582,
207,953,352,501,534,479,921,420,274,610,887,464,974,276,869,959,357,225,809,
717,024,188,754,555,747,611,782,971,815,872,037,889,261,482,381,818,015,237,
502,612,041,733,694,361,573,615,802,995,193,826,792,350,971,694,112,191,399,
214,734,511,189,568,304,727,235,312,371,693,888,387,999,551,992,946,300,593,
225,875,019,799,491,742,109,363,883,505,420,131,604,874,991,180,778,329,981,
603,079,966,596,173,453,288,927,767,824,102,131,494,290,519,738,157,213,155,
751,832,583,646,924,903,782,478,729,387,316,778,389,343,945,900,250,181,414,
577,716,398,729,265,374,630,984,239,934,889,776,886,871,352,056,495,920,803,
165,834,674,166,537,583,877,074,082,275,831,172,608,454,796,483,759,463,022,
179,707,701,608,835,987,283,146,198,994,492,843,056,216,463,404,665,596,635,
740,162,758,169,542,081,034,422,739,253,165,651,101,950,811,402,460,499,442,
856,275,343,012,464,217,193,115,749,245,307,725,313,233,511,334,363,106,762,
044,080,358,117,030,121,494,823,778,557,704,019,469,967,104,280,548,979,011,
805,023,077,220,995,454,267,361,170,280,306,031,692,601,800,414,032,466,390,
796,779,744,359,357,264,238,090,800,307,446,824,898,719,986,867,865,183,222,
689,714,277,032,390,870,987,033,669,574,737,083,094,315,780,084,521,373,698,
959,751,517,563,667,846,987,179,280,247,654,556,205,522,271,591,814,125,997,
839,473,582,763,654,825,824,472,341,026,818,891,528,585,492,802,845,221,974,
771,213,569,238,933,182,371,458,053,460,530,394,465,099,199,645,152,283,264,
053,562,365,695,046,641,696,381,125,084,373,561,087,128,897,414,322,794,796,
331,369,821,767,775,959,703,154,068,328,365,661,349,890,955,061,518,879,485,
294,926,265,278,089,544,143,606,648,719,414,268,556,598,295,056,227,501,684,
633,929,580,724,354,011,979,025,431,646,218,582,825,002,099,139,858,564,699,
386,797,764,216,350,114,348,866,062,287,161,112,230,464,705,576,677,001,760,
771,607,158,912,417,198,096,279,503,679,526,084,335,112,130,456,763,063,065,
031,375,614,837,749,612,513,973,853,488,838,543,528,924,719,629,119,677,459,
697,733,155,039,287,814,567,321,606,062,066,981,807,165,437,289,176,777,798,
675,425,565,534,590,809,114,296,865,858,754,798,278,333,739,327,672,971,419,
652,943,556,818,916,736,918,047,877,447,038,800,793,645,086,863,403,501,932,
325,838,145,756,115,931,576,541,580,144,588,995,605,628,618,301,515,962,868,
312,572,120,983,234,766,755,261,577,001,675,207,629,134,330,655,337,783,704,
817,819,123,116,464,709,293,728,080,068,225,377,580,030,258,252,403,582,192,
064,594,174,207,167,217,707,099,167,465,663,009,376,504,818,098,489,141,998,
832,030,092,383,175,511,696,644,186,753,866,954,577,517,841,789,201,859,861,
132,366,866,793,454,957,207,304,438,546,318,439,963,704,602,878,868,850,510,
920,243,330,097,253,323,063,680,281,771,160,322,997,969,832,787,494,491,477,
437,815,898,492,416,072,435,344,186,740,694,112,590,528,651,792,763,506,046,
337,567,577,654,374,040,222,746,354,102,930,249,150,666,854,377,624,552,017,
155,009,518,608,040,429,791,779,414,981,626,887,320,345,868,613,300,606,837,
162,934,175,518,759,800,373,610,163,689,141,012,714,847,766,801,983,483,881,
997,369,348,775,696,468,920,994,725,301,104,478,961,200,518,776,940,559,452,
809,512,152,622,086,542,190,800,680,048,324,273,817,077,880,005,215,729,522,
688,233,949,161,786,708,388,963,060,027,243,831,984,347,879,528,857,939,146,
749,897,760,337,787,484,057,988,480,722,683,912,862,887,115,746,776,895,889,
352,515,904,287,805,703,139,304,310,307,843,325,304,898,870,568,946,485,290,
406,132,640,473,709,339,819,715,235,880,955,855,984,323,854,638,506,161,105,
867,595,041,089,873,700,246,888,270,732,025,068,469,045,472,971,384,997,074,
692,902,553,696,420,850,231,987,713,826,408,360,578,657,017,964,977,390,582,
926,703,584,851,775,412,723,152,490,794,582,110,470,897,446,330,143,479,463,
408,143,349,990,837,200,871,266,960,566,003,830,779,800,347,882,831,726,644,
628,755,001,303,019,970,644,972,370,484,064,823,185,043,887,638,373,929,280,
748,159,635,239,670,216,031,155,977,646,638,164,976,552,305,784,113,120,773,
698,699,817,912,559,693,930,911,758,368,099,424,019,834,939,867,799,034,083,
385,201,965,060,887,381,069,504,991,352,678,825,268,974,964,103,446,625,663,
766,543,060,326,603,071,517,948,486,936,325,331,085,287,277,249,785,820,201,
453,599,591,964,814,337,763,705,731,481,856,789,429,431,497,120,111,175,794,
027,084,537,733,782,807,602,772,946,949,513,583,913,715,817,744,723,913,403,
261,564,769,366,043,892,969,484,384,313,522,659,910,291,572,913,464,786,447,
149,585,182,372,399,512,470,954,944,424,605,363,214,300,775,995,087,690,227,
979,122,435,222,907,263,390,031,692,401,025,965,336,214,369,619,631,778,739,
632,657,261,373,017,374,445,309,084,084,016,896,451,983,082,192,605,321,529,
336,956,511,155,217,297,307,242,268,956,520,448,588,751,119,483,111,004,773,
930,115,954,079,845,101,468,700,371,867,006,550,698,244,395,126,505,597,775,
023,488,057,902,561,557,814,521,127,354,235,754,737,863,199,255,838,530,983,
332,423,594,868,165,179,636,629,679,294,672,869,996,892,277,453,436,229,689,
177,877,722,799,230,943,070,568,384,551,435,825,706,440,178,573,503,097,685,
211,759,699,925,021,857,311,131,720,754,976,457,019,929,094,451,576,340,480,
411,358,871,523,378,156,151,431,467,979,412,421,740,547,944,798,481,654,491,
667,247,520,986,184,034,075,301,003,548,996,773,811,878,325,077,379,164,113,
253,588,321,292,819,772,632,310,449,199,652,473,542,821,549,126,511,000,790,
492,785,010,689,725,132,717,711,605,098,324,018,975,394,021,358,370,981,870,
080,148,026,482,117,338,004,125,144,139,972,315,417,342,166,011,163,714,654,
500,140,951,356,857,916,994,375,221,566,817,531,986,290,137,981,567,560,469,
390,445,779,813,262,289,392,381,216,219,847,861,592,232,049,332,977,262,058,
211,861,189,044,910,460,641,987,707,640,395,062,657,586,416,030,297,190,160,
460,953,547,929,345,926,640,475,965,870,814,211,081,033,848,168,017,334,723,
192,000,662,861,993,070,807,810,048,424,864,655,755,582,834,780,860,290,847,
088,409,054,134,729,403,090,870,073,425,993,631,018,502,324,952,906,229,372,
358,608,506,774,077,672,690,915,807,976,062,341,102,958,353,581,710,589,942,
776,443,742,187,370,925,342,193,860,681,573,183,767,828,204,734,195,290,954,
573,181,204,833,813,600,966,515,349,315,128,737,674,442,110,979,949,917,976,
584,690,041,331,702,703,024,412,759,086,945,648,154,469,836,424,569,553,948,
703,423,214,349,786,662,557,783,311,912,671,370,215,240,142,560,944,631,324,
569,692,860,348,683,081,493,021,916,928,079,752,994,786,413,596,012,464,955,
356,637,973,791,001,528,359,748,051,680,367,465,417,164,027,791,405,308,605,
729,844,090,842,444,212,523,439,754,968,810,411,497,806,681,472,570,971,535,
518,718,781,333,399,333,277,718,702,423,531,351,195,274,392,618,255,749,029,
528,115,372,625,820,470,352,873,323,326,158,901,327,511,132,697,647,105,009,
618,967,308,077,036,635,862,011,575,861,425,185,910,722,520,560,196,437,480,
366,989,491,240,239,374,344,451,773,724,597,846,621,213,390,237,224,617,000,
101,317,377,145,335,078,617,019,053,874,150,389,905,413,273,918,089,107,711,
833,612,326,826,937,726,298,673,466,450,242,306,075,319,581,875,988,458,739,
064,410,998,597,716,287,193,787,690,690,765,234,738,178,073,733,949,673,094,
247,813,534,963,875,561,882,640,858,963,818,072,165,942,417,963,868,140,040,
620,430,695,575,991,326,170,787,044,166,299,999,674,822,992,482,586,042,161,
416,501,572,751,959,510,674,147,550,881,448,093,182,675,860,621,304,974,402,
407,373,795,898,699,384,407,223,624,855,363,856,910,904,456,631,744,245,175,
886,325,818,825,953,588,262,149,837,807,043,055,340,851,884,632,585,823,971,
791,314,406,524,160,717,570,605,239,499,903,683,112,946,854,333,343,370,118,
817,227,471,310,703,381,855,883,735,503,586,737,653,887,625,208,009,042,716,
386,366,783,363,959,377,268,744,581,968,745,483,385,244,149,869,841,632,300,
092,393,290,624,004,631,130,390,211,934,256,045,061,064,426,405,358,722,964,
267,632,251,974,417,339,909,249,165,149,669,495,381,406,575,709,749,355,893,
322,112,192,871,797,697,119,843,278,892,902,305,981,086,610,214,744,863,055,
054,248,514,434,290,517,345,632,653,929,488,247,284,352,646,866,848,507,730,
446,184,531,031,433,367,105,791,314,682,812,292,663,190,168,295,288,316,155,
733,662,927,093,778,703,840,779,234,923,164,438,910,974,331,354,815,718,455,
537,959,623,492,078,566,432,287,810,027,856,886,466,984,502,303,759,926,065,
221,172,240,510,962,990,938,388,390,835,509,371,096,793,531,357,827,010,316,
941,963,986,903,549,193,641,083,557,272,119,132,746,010,735,108,168,933,923,
201,428,587,951,864,655,400,948,493,696,171,032,197,369,657,740,619,486,890,
505,506,337,518,393,423,610,895,599,102,953,683,107,331,452,903,268,112,711,
277,848,900,467,903,946,341,958,080,264,875,127,714,994,034,862,160,960,095,
404,693,268,088,342,870,069,585,940,934,195,310,197,880,963,554,529,367,552,
025,441,115,601,326,159,696,588,361,551,089,032,063,214,366,329,360,490,679,
999,796,953,560,655,880,002,817,781,175,684,175,070,646,450,068,557,346,718,
873,069,027,616,573,400,074,771,639,782,919,519,049,907,238,425,215,187,393,
608,428,319,126,946,002,287,287,169,105,134,295,681,049,202,871,633,305,936,
177,462,090,247,149,839,743,267,361,774,391,337,438,891,546,499,160,564,241,
826,457,744,775,317,348,366,466,516,961,221,348,565,546,954,007,179,733,331,
086,017,170,488,353,394,239,733,618,706,320,354,012,742,982,307,766,442,102,
472,878,629,201,395,092,807,243,457,639,163,278,514,453,800,086,400,075,066,
301,681,640,637,861,100,007,827,702,340,455,381,165,951,709,661,545,337,995,
402,537,752,811,554,345,081,178,772,423,389,856,034,829,505,761,465,112,422,
177,307,667,633,206,307,206,538,690,817,246,860,895,707,788,974,328,119,303,
367,364,826,102,818,026,322,688,041,771,882,317,078,291,274,966,713,618,916,
945,851,815,800,788,709,257,013,758,217,896,617,693,598,852,308,516,992,143,
111,044,973,644,073,761,914,229,544,644,605,929,011,959,616,511,209,840,572,
567,276,457,519,091,171,187,575,065,548,759,258,307,658,604,710,279,055,574,
645,662,881,358,282,770,878,106,898,884,875,587,434,288,921,256,563,555,822,
515,551,503,582,351,953,274,045,830,162,297,914,912,114,786,180,548,284,035,
662,954,615,901,206,329,402,663,620,333,392,151,035,546,250,338,998,848,436,
831,876,699,656,543,006,904,719,547,834,753,425,845,237,306,849,294,712,954,
707,353,307,812,013,896,091,787,205,331,973,067,663,448,887,410,755,152,999,
051,198,401,031,350,760,129,617,440,461,137,031,716,532,587,064,310,214,855,
162,888,386,287,219,005,800,340,022,289,713,642,613,204,673,445,831,281,110,
503,468,744,890,598,073,899,570,591,511,420,455,809,400,849,211,598,707,294,
718,168,608,862,898,339,965,693,961,812,388,936,207,162,099,726,615,836,266,
245,874,790,017,785,515,155,572,787,039,912,257,875,270,103,572,684,019,555,
277,158,259,006,038,245,392,123,939,631,899,143,489,718,225,082,319,062,244,
575,380,143,530,241,072,491,350,995,924,772,105,962,800,455,251,028,019,440,
367,945,460,034,703,805,893,375,778,432,136,817,055,418,285,259,158,097,289,
637,723,027,016,719,023,696,307,711,479,105,757,913,188,990,866,068,052,468,
185,490,753,171,681,575,024,561,848,128,777,853,872,267,321,320,957,139,394,
797,430,552,753,610,806,637,614,835,393,424,885,551,811,295,588,210,356,678,
885,958,734,365,271,403,765,140,772,809,159,831,251,165,626,889,120,012,429,
641,402,447,620,766,664,798,991,703,045,940,205,825,617,195,710,335,475,989,
585,247,435,080,792,193,327,911,079,940,010,928,886,706,422,400,044,008,258,
893,020,302,979,824,413,461,656,423,372,151,785,187,685,440,106,643,977,343,
144,752,573,983,338,496,909,390,986,484,252,775,619,940,084,172,208,925,295,
894,548,495,593,437,560,943,860,598,392,904,503,340,135,992,775,972,921,953,
022,304,396,966,293,481,374,438,243,733,255,775,694,327,715,240,074,047,565,
619,003,387,091,214,456,709,670,381,289,121,299,255,498,003,781,889,390,902,
910,079,493,649,323,482,590,277,748,237,793,734,526,344,879,832,171,772,536,
160,199,556,214,582,663,875,319,163,991,898,860,133,834,707,176,377,094,251,
448,676,725,156,818,269,902,327,011,853,120,975,093,678,918,057,898,795,289,
487,636,974,425,453,135,081,545,803,879,283,589,216,107,455,497,609,054,843,
007,939,086,300,635,318,777,057,671,000,118,802,683,741,544,084,702,477,689,
352,628,090,853,851,810,327,982,793,560,241,085,764,361,074,355,895,573,592,
730,418,776,185,698,292,794,549,758,418,163,741,089,206,548,916,965,000,969,
193,574,970,059,264,846,994,133,523,346,247,719,043,776,500,039,351,143,919,
066,897,551,324,929,409,177,198,351,138,620,011,419,450,056,506,200,979,116,
937,902,644,434,079,035,957,871,987,330,206,380,580,507,387,059,226,615,097,
733,874,628,327,333,689,504,222,138,097,803,225,212,255,527,617,304,186,101,
377,944,083,540,511,570,170,982,287,379,594,717,660,448,923,888,752,809,566,
956,735,886,051,392,207,117,257,242,288,347,413,024,489,969,505,680,490,291,
172,088,258,173,758,243,647,167,181,311,800,827,009,048,563,742,209,551,293,
624,423,154,168,161,378,244,389,915,208,484,036,329,229,410,657,709,647,906,
318,272,100,937,079,389,328,545,692,077,537,401,740,450,299,072,706,778,983,
432,377,592,395,145,740,096,551,240,402,160,544,059,300,556,717,967,141,853,
760,842,346,034,457,078,401,808,227,482,376,129,853,767,890,963,275,360,841,
227,551,064,068,864,297,853,779,595,380,729,191,583,402,231,144,590,354,051,
020,811,486,753,175,428,279,981,539,313,932,579,386,093,919,792,320,409,300,
929,169,112,823,312,243,185,510,813,135,117,903,793,677,952,620,753,323,731,
304,049,613,717,274,894,894,547,926,171,945,971,916,830,080,613,966,030,965,
559,861,625,187,610,166,713,744,261,999,490,223,667,713,783,189,137,997,218,
760,787,261,359,767,307,994,505,180,390,462,353,538,212,179,175,946,973,032,
150,020,103,152,652,957,764,218,369,212,404,993,359,418,669,071,642,949,416,
175,705,154,017,097,314,269,360,572,724,761,681,092,525,436,403,348,137,650,
904,174,547,446,604,528,057,645,531,557,902,119,339,608,300,372,109,758,176,
253,363,746,500,139,182,802,448,456,932,880,939,650,156,187,865,993,450,302,
317,564,917,409,627,966,037,714,512,433,688,760,378,393,400,509,924,141,006,
557,638,463,790,476,757,120,277,340,396,266,742,421,297,557,685,463,738,143,
140,276,656,304,991,477,686,837,910,027,413,745,046,778,409,639,609,106,520,
312,644,667,296,555,778,362,519,497,027,256,686,127,977,934,526,822,318,253,
733,013,797,991,129,133,299,985,009,251,505,560,741,637,981,989,144,531,299,
223,224,488,342,318,555,533,832,477,089,137,044,038,080,413,046,384,703,775,
632,621,614,182,425,446,926,822,408,441,708,997,978,317,913,218,143,455,095,
030,242,274,811,617,674,022,799,512,589,627,447,113,278,777,403,380,885,797,
002,345,258,865,301,208,057,124,020,744,951,591,390,136,899,825,494,923,213,
159,295,498,589,617,501,297,326,062,592,811,450,549,722,944,345,443,685,907,
640,298,336,268,261,538,092,971,742,583,749,959,122,274,355,384,982,386,258,
885,453,442,880,919,902,509,908,765,047,858,810,570,726,486,576,180,980,058,
217,254,755,996,276,008,791,212,964,988,009,365,745,552,595,277,638,685,981,
291,506,802,250,932,594,403,981,750,746,185,085,008,657,099,714,228,070,436,
729,461,802,844,470,915,325,082,579,248,663,186,661,827,541,693,815,904,765,
687,847,211,829,774,891,850,269,299,733,276,359,547,847,605,595,309,380,616,
967,972,655,102,638,462,883,140,023,448,891,444,645,236,664,321,762,900,902,
874,254,425,253,550,215,508,726,168,521,720,681,896,741,777,160,775,134,168,
780,034,836,560,695,199,276,161,058,094,245,919,898,531,032,837,438,453,822,
447,307,962,760,985,953,518,540,861,790,318,994,492,732,898,385,278,964,900,
749,959,892,119,478,749,958,833,411,434,853,804,964,407,958,850,617,915,270,
106,711,633,164,300,885,680,554,062,825,453,594,070,065,557,712,808,808,918,
070,583,495,425,223,176,841,298,081,506,870,991,268,367,428,521,058,615,370,
623,950,833,944,675,702,170,056,939,859,199,944,056,259,836,518,265,747,021,
873,484,402,496,062,757,631,753,619,357,466,534,974,034,982,515,072,920,339,
023,340,661,688,473,507,316,331,201,518,081,129,042,688,634,394,742,450,023,
430,439,329,412,003,459,049,442,059,546,451,257,284,535,902,659,762,553,761,
017,735,666,542,699,167,985,154,971,597,897,142,705,969,964,648,906,180,458,
538,263,902,056,905,018,395,950,707,463,217,646,828,317,010,480,681,285,973,
514,436,209,839,459,633,434,187,787,121,404,096,989,858,850,486,812,645,158,
085,715,616,897,242,138,188,742,583,048,256,707,569,786,416,476,809,376,610,
529,562,265,278,694,907,445,936,470,130,287,009,215,892,444,977,315,646,593,
947,136,157,354,354,528,760,329,157,980,673,171,541,995,273,664,486,929,433,
965,961,272,127,378,961,723,755,392,416,418,567,924,479,397,991,017,043,515,
268,579,278,483,848,969,188,036,741,469,363,656,654,883,097,011,920,065,964,
329,749,420,251,469,702,200,796,255,657,398,807,897,188,495,330,056,725,455,
840,120,369,148,350,059,725,137,059,884,325,736,056,702,057,635,950,932,326,
570,743,651,076,220,421,442,159,846,421,006,712,495,222,510,421,131,781,492,
341,772,879,740,948,591,339,160,658,765,018,409,735,116,548,853,926,732,266,
429,972,938,263,575,941,655,704,848,764,396,530,322,377,486,915,199,280,312,
183,209,851,602,927,424,643,434,646,994,319,881,911,104,787,936,094,470,280,
512,758,931,504,058,347,725,189,390,242,455,704,190,191,601,426,516,541,813,
679,885,443,522,259,045,321,554,693,962,910,493,266,801,494,765,061,829,778,
871,266,482,860,264,163,864,212,264,502,179,736,476,905,385,491,274,136,164,
326,721,357,215,161,287,633,934,129,658,042,746,216,594,396,513,360,338,987,
872,119,234,726,940,198,043,818,872,215,392,085,716,650,821,431,817,087,386,
183,978,391,716,330,496,948,685,511,091,421,450,103,076,815,007,221,515,440,
687,221,885,171,869,012,825,321,562,272,631,211,772,181,761,568,814,028,558,
467,117,121,131,949,316,775,254,055,739,894,238,747,023,999,292,677,862,531,
652,326,839,361,701,875,332,491,129,895,596,081,528,020,089,758,904,706,183,
390,492,566,675,749,666,765,418,188,245,543,165,035,448,593,575,433,662,028,
421,120,676,015,116,829,831,782,006,365,153,980,240,066,106,839,145,253,207,
686,994,725,662,629,054,962,657,821,445,210,381,430,689,446,351,580,258,153,
636,311,765,113,325,258,883,482,910,002,315,553,141,205,567,184,510,423,769,
117,575,557,496,784,375,714,540,048,574,567,557,924,469,368,829,727,486,890,
016,781,202,636,795,886,212,938,510,640,737,141,172,404,064,899,558,523,264,
747,071,282,881,618,282,624,241,890,756,914,854,666,787,383,968,850,135,215,
535,613,428,741,633,726,356,722,476,621,729,268,840,140,535,247,626,509,462,
312,457,943,733,738,813,861,067,175,747,711,734,336,437,031,859,311,959,193,
104,112,560,762,652,258,357,328,610,137,265,123,606,879,289,902,127,043,451,
537,960,104,632,094,774,096,191,897,361,561,838,197,529,199,526,989,971,848,
773,499,037,248,392,984,333,076,012,222,252,777,827,108,594,609,821,560,781,
174,878,753,348,063,524,482,481,698,338,037,085,934,330,862,020,766,360,962,
764,659,234,506,368,780,498,942,290,760,548,341,757,593,348,633,085,419,096,
577,642,897,075,886,534,215,014,691,216,443,397,928,906,680,581,053,619,423,
977,136,948,924,545,614,211,597,080,374,252,371,896,901,111,697,919,877,661,
171,409,579,032,985,594,752,356,616,766,076,908,285,502,065,450,164,448,129,
452,683,210,582,058,937,052,655,703,247,975,654,185,353,354,652,865,520,989,
866,260,019,930,807,172,763,036,925,222,044,275,900,953,328,571,454,765,074,
467,069,501,456,662,628,124,437,434,394,534,860,428,457,167,458,253,869,443,
383,366,820,092,408,566,735,963,137,153,436,859,806,107,223,400,858,451,339,
436,090,570,129,933,378,198,113,192,978,353,113,164,396,212,057,919,664,802,
302,133,352,696,789,595,846,499,846,871,627,792,555,011,926,166,683,299,131,
850,686,893,681,448,369,084,581,615,521,542,842,969,312,821,786,468,294,770,
302,101,404,146,804,452,702,082,144,599,407,187,159,169,797,310,766,274,025,
084,862,003,496,622,489,589,569,515,778,200,119,454,983,261,880,718,674,297,
858,469,180,359,941,338,311,546,518,391,009,796,832,540,207,514,088,460,261,
681,776,642,379,730,901,462,039,639,438,551,075,330,467,722,995,528,729,496,
731,901,795,569,417,938,971,664,903,178,724,066,898,311,865,171,975,119,018,
995,559,979,489,511,051,975,664,883,261,599,143,615,259,754,554,832,819,118,
759,252,883,991,324,734,759,186,038,339,685,417,561,111,182,116,126,120,795,
861,424,840,224,487,600,428,614,427,291,332,183,267,518,323,087,004,724,253,
139,499,831,586,244,096,243,187,380,633,936,368,058,748,766,617,929,624,775,
198,924,397,052,448,310,409,783,294,223,269,644,599,908,807,018,817,299,074,
659,850,192,977,971,083,071,240,479,571,153,514,977,271,278,003,801,924,465,
527,196,927,494,773,782,156,430,267,791,325,568,465,801,525,846,521,952,989,
170,635,057,097,914,555,218,475,157,635,531,666,657,189,269,742,459,270,667,
121,640,516,743,705,077,195,858,114,731,963,381,550,061,712,211,356,374,248,
498,335,983,124,360,369,331,862,692,698,410,105,392,297,281,410,879,639,174,
139,523,278,565,624,242,942,365,700,983,457,615,285,180,997,824,853,949,258,
207,070,729,229,383,971,889,223,378,606,517,763,567,012,278,448,030,883,416,
644,293,016,486,064,989,243,871,401,491,105,357,198,844,553,757,388,248,555,
155,235,502,857,535,559,289,829,806,659,305,365,116,645,962,563,936,094,844,
319,445,147,256,428,521,860,022,372,895,801,663,890,213,003,002,814,416,795,
456,149,924,421,809,144,806,313,310,189,520,671,439,597,568,161,826,079,128,
695,425,246,516,446,599,586,399,038,353,234,317,503,815,113,524,011,999,760,
183,997,308,544,061,322,904,613,876,092,929,783,023,954,992,863,752,314,195,
391,631,756,863,645,197,940,843,942,142,809,794,213,428,793,350,451,880,682,
012,592,671,330,026,811,884,208,320,110,950,503,987,865,696,743,576,237,912,
777,525,010,874,464,138,316,356,443,497,629,392,784,263,461,281,901,837,939,
218,023,306,297,970,321,191,163,722,959,601,297,500,911,490,503,083,801,700,
387,527,884,748,302,187,660,319,359,893,299,588,881,141,379,817,305,796,803,
084,386,416,958,566,711,132,436,010,605,500,138,767,351,073,992,371,794,698,
682,371,705,322,350,033,014,677,361,774,173,912,915,674,477,718,181,662,923,
452,951,855,515,045,530,072,553,972,788,379,381,787,020,135,473,202,514,522,
606,132,432,400,777,351,997,224,571,472,437,296,388,981,900,774,320,993,868,
500,173,939,021,306,410,839,583,674,504,793,229,247,278,416,567,203,922,710,
802,699,326,922,296,775,259,417,812,530,420,372,266,551,498,997,758,964,442,
659,606,262,419,931,777,605,688,428,774,118,172,528,153,399,946,131,230,599,
104,904,953,612,947,356,341,803,340,822,057,260,407,056,047,652,894,351,159,
755,405,197,019,052,820,878,014,044,549,100,510,826,518,336,996,208,092,241,
495,113,907,263,021,405,294,824,612,210,254,303,948,097,160,111,121,286,182,
508,637,802,949,007,200,339,910,914,493,632,105,100,584,754,688,904,129,272,
328,876,530,617,250,340,231,921,558,336,989,515,007,927,919,689,670,819,670,
019,409,948,281,422,346,532,092,993,815,752,210,826,782,073,321,767,158,636,
856,873,406,885,863,904,763,723,963,250,762,432,689,586,420,338,966,597,626,
679,590,729,089,202,587,981,530,058,433,820,152,526,438,366,606,197,641,191,
692,759,432,237,804,710,539,098,049,567,788,792,636,110,151,398,045,216,730,
850,225,855,902,702,848,505,445,266,266,067,453,529,694,842,650,187,654,724,
451,659,654,257,425,991,217,405,832,777,301,804,164,638,628,734,086,322,486,
499,021,751,312,326,863,889,233,323,640,440,922,639,528,962,889,865,736,558,
869,503,105,219,531,042,168,055,094,785,671,212,779,832,029,031,158,179,409,
498,506,846,631,663,364,140,185,131,401,012,443,437,791,807,749,969,918,374,
743,559,788,530,962,647,869,378,675,792,987,410,708,335,846,615,767,387,358,
186,720,591,249,644,094,734,727,447,995,832,090,198,450,921,169,566,364,795,
918,793,975,564,561,858,024,281,343,469,519,687,900,820,301,248,613,004,090,
246,574,688,546,968,743,432,327,075,468,825,772,737,621,114,326,463,642,331,
102,258,091,201,598,713,764,267,378,510,232,457,438,797,718,571,231,518,242,
587,481,449,171,930,553,586,540,614,265,492,857,110,897,349,946,904,262,474,
563,271,518,178,291,203,257,529,494,283,276,935,633,520,367,766,392,782,397,
625,550,003,232,279,103,942,564,787,185,626,716,522,691,139,345,177,885,411,
709,731,265,948,613,353,316,768,593,635,658,321,839,742,703,163,170,957,557,
045,827,758,158,762,511,755,348,302,801,721,675,687,716,008,697,271,891,173,
920,539,458,941,877,806,989,166,343,082,332,003,736,615,551,141,082,502,752,
945,241,497,057,535,652,885,830,756,829,935,134,642,752,754,458,999,308,567,
817,182,911,606,790,803,525,427,029,591,578,621,352,499,784,940,001,832,586,
367,688,927,447,447,453,467,125,672,774,109,364,023,882,465,157,002,918,900,
271,558,930,198,677,804,849,654,975,902,413,741,365,724,727,462,246,607,998,
318,920,791,126,456,555,506,585,305,764,923,190,564,656,114,382,578,648,799,
138,894,988,636,204,896,621,184,575,506,327,342,349,025,589,460,582,609,479,
490,299,557,221,457,892,928,054,803,112,931,873,293,942,051,505,943,234,804,
405,762,419,234,880,445,650,464,337,643,099,558,261,804,616,145,699,950,300,
418,846,359,712,770,325,638,606,753,394,590,378,175,574,391,736,032,925,973,
060,370,860,861,088,331,297,149,032,086,192,407,473,832,154,931,383,997,434,
128,231,306,619,497,553,472,672,340,986,493,343,196,551,888,836,476,840,109,
141,700,688,875,361,046,286,128,357,948,262,777,885,885,698,305,562,812,773,
889,883,764,211,383,269,682,514,539,759,806,840,727,989,887,817,686,267,792,
156,754,555,338,280,471,363,608,696,057,064,066,763,206,387,942,007,652,465,
954,712,773,321,103,005,142,366,794,630,633,320,023,539,077,177,182,491,293,
713,298,556,407,696,372,788,112,068,614,270,610,604,227,968,156,162,427,068,
722,473,237,507,218,492,842,617,616,894,390,470,537,564,172,563,580,843,859,
793,107,250,101,577,172,822,068,731,217,527,257,340,520,705,176,450,703,307,
427,468,798,461,635,493,680,996,710,282,019,918,512,221,033,658,507,794,668,
486,867,570,767,561,970,722,530,991,236,884,546,992,033,512,374,243,307,492,
910,808,441,853,117,968,423,474,338,814,820,884,860,244,711,721,035,092,684,
965,250,667,318,984,474,411,417,208,029,008,351,699,158,401,840,450,784,435,
731,213,183,332,068,928,148,532,325,812,404,174,874,120,911,232,109,796,244,
475,057,086,586,142,347,303,378,443,518,133,359,362,629,960,977,229,246,702,
298,671,792,143,088,432,026,345,654,988,139,355,083,491,006,797,795,247,238,
770,163,019,638,313,472,173,218,102,030,800,719,678,226,093,888,937,469,927,
054,619,534,901,413,220,884,977,817,346,706,552,648,261,416,461,436,931,026,
792,618,787,615,098,538,495,204,414,329,118,635,582,525,063,806,317,694,546,
988,174,379,053,824,404,761,310,731,029,386,744,205,785,210,278,015,431,774,
654,939,858,575,191,869,372,873,480,949,564,731,046,027,891,623,575,800,998,
132,642,464,865,928,735,507,373,699,094,129,433,601,532,582,811,872,594,807,
383,467,102,559,148,916,790,727,282,271,842,341,304,190,833,433,078,441,587,
619,264,268,396,684,274,719,600,791,071,673,303,597,686,628,982,705,009,419,
995,689,585,389,227,418,302,680,894,479,305,603,342,880,057,333,135,697,666,
073,985,907,927,351,343,314,140,133,400,396,342,618,551,394,473,964,633,708,
549,850,312,476,075,149,793,704,728,755,116,150,389,050,174,600,750,033,205,
368,323,163,890,111,858,812,493,766,089,762,865,231,963,503,430,258,674,686,
878,462,908,127,536,928,410,667,257,169,746,964,530,407,055,099,663,056,749,
725,042,363,916,828,518,222,666,197,823,488,012,484,260,361,406,088,301,657,
451,223,065,248,426,642,202,229,144,666,965,581,223,950,971,070,210,041,766,
387,769,222,623,297,360,528,510,175,808,208,985,003,327,019,126,061,085,293,
227,637,021,892,394,447,318,497,063,901,817,728,169,122,263,701,659,993,089,
337,202,523,628,486,024,381,582,209,203,397,136,736,398,536,024,378,251,717,
050,274,689,982,179,045,817,202,676,736,225,676,793,777,432,005,527,559,755,
475,017,579,610,329,779,969,116,546,437,320,733,217,543,338,544,244,656,093,
474,248,137,941,447,176,374,434,015,277,015,895,952,223,153,822,314,776,070,
462,560,236,407,403,041,337,868,469,091,650,593,654,915,273,236,329,205,804,
244,122,252,560,509,938,117,669,079,247,292,988,761,598,173,200,326,023,185,
271,727,726,803,143,493,518,133,097,012,577,214,638,789,889,205,165,705,143,
974,662,683,214,817,615,912,571,389,729,963,216,027,059,628,140,286,265,670,
429,610,896,379,985,319,654,427,046,503,061,893,261,829,760,550,609,055,653,
751,872,328,509,567,225,438,751,330,846,088,431,435,839,075,232,527,466,919,
247,935,309,164,648,341,020,688,880,911,837,590,356,876,246,702,720,820,589,
258,234,367,750,171,373,611,589,425,527,357,380,893,037,951,965,023,251,689,
358,172,650,918,498,705,949,955,376,051,435,977,704,307,140,792,577,715,308,
895,476,030,575,344,435,146,654,561,363,415,961,547,152,796,710,126,218,216,
710,032,277,192,367,882,939,723,894,153,007,442,742,576,555,807,889,168,990,
271,774,171,267,331,202,423,517,683,309,624,607,893,188,156,052,800,763,717,
483,785,980,513,549,382,284,144,902,649,028,574,603,696,654,095,283,636,448,
641,811,271,012,400,075,968,380,526,272,698,245,857,124,850,918,136,034,686,
333,044,241,445,505,102,779,266,438,114,813,987,925,338,324,329,305,825,442,
113,065,814,183,365,321,851,886,490,999,794,053,859,495,069,257,274,404,621,
611,041,042,007,222,852,928,278,529,389,196,043,894,224,429,206,596,674,739,
071,315,762,119,758,806,894,842,194,571,069,299,974,492,865,428,940,305,172,
282,785,281,485,316,527,077,247,852,982,280,657,061,942,446,545,936,617,705,
334,481,106,059,331,378,224,047,278,857,271,099,400,509,250,060,701,980,537,
910,758,686,853,759,677,637,227,095,203,938,027,743,613,450,160,574,260,558,
364,182,632,710,480,485,568,681,092,234,891,472,053,241,168,672,248,141,641,
922,905,611,523,466,576,750,678,898,935,261,181,629,006,113,201,516,538,762,
907,056,701,916,572,262,136,473,681,619,592,296,629,296,231,552,977,653,497,
904,615,965,628,326,290,161,125,650,727,385,936,515,110,935,515,451,858,762,
180,745,578,163,899,744,770,657,527,510,973,482,470,626,254,726,333,254,292,
968,358,817,366,213,148,595,279,931,431,774,197,265,485,748,776,415,109,126,
793,731,986,626,883,311,772,706,711,286,846,742,833,413,633,183,768,597,986,
185,581,960,571,866,646,645,771,928,454,695,476,276,803,562,190,833,772,223,
100,245,643,244,068,917,653,847,357,646,042,414,397,831,794,822,792,231,245,
094,642,625,181,222,892,387,272,207,034,229,456,057,378,772,699,220,994,740,
911,769,159,026,930,425,931,848,345,366,901,212,000,194,442,792,474,295,676,
314,252,169,812,427,748,231,384,315,719,079,990,730,558,768,674,653,861,568,
521,703,335,235,847,820,812,376,607,142,425,591,887,223,072,215,516,071,479,
128,992,558,784,192,632,268,037,589,414,510,888,034,518,849,913,012,790,335,
917,959,411,172,994,384,303,133,755,359,406,971,127,980,952,038,464,936,045,
410,288,273,187,251,410,360,958,137,011,225,137,915,184,057,941,256,269,467,
907,433,736,612,171,965,701,691,274,973,891,824,889,974,491,161,907,747,278,
617,193,221,177,142,955,538,162,838,130,324,533,362,731,542,023,179,635,668,
324,444,756,682,922,436,626,567,073,188,443,756,152,996,815,960,054,361,130,
547,984,499,474,067,266,866,486,790,929,283,148,374,718,005,545,609,701,787,
140,275,626,886,970,355,078,079,714,784,134,022,325,350,590,031,874,022,721,
991,295,141,748,181,967,463,977,537,451,589,686,751,329,814,865,862,758,968,
428,368,107,168,459,382,759,557,440,508,107,139,807,181,623,675,160,547,178,
578,724,668,330,046,284,620,973,645,220,409,610,948,359,960,378,020,495,342,
499,204,339,892,178,129,057,115,323,946,891,558,725,795,027,632,293,429,744,
259,187,695,984,944,357,072,402,757,197,044,088,362,139,669,226,102,201,883,
781,806,516,086,487,407,686,703,821,834,605,553,166,438,919,796,747,996,765,
146,533,274,051,550,433,322,489,800,401,803,152,015,319,395,041,260,623,008,
986,015,808,192,270,396,489,544,778,875,213,648,471,394,766,440,447,796,293,
334,354,605,739,284,916,519,232,324,449,733,182,798,230,948,466,629,710,884,
688,754,549,094,184,144,709,102,906,621,801,844,439,494,937,539,894,604,369,
024,494,975,063,263,989,046,331,459,347,950,725,639,626,237,398,898,864,871,
871,356,447,581,100,126,112,064,175,769,390,026,252,420,069,796,674,782,759,
166,257,830,612,533,285,923,972,525,929,484,276,297,120,078,897,292,440,903,
612,764,814,514,705,933,570,988,014,962,840,093,013,722,406,160,110,718,249,
446,890,846,916,706,681,090,604,795,591,521,197,831,751,549,966,501,144,444,
141,597,557,415,350,155,923,706,059,908,211,666,781,338,806,357,023,542,018,
023,216,015,325,599,085,455,102,611,157,934,321,912,564,671,254,564,091,754,
286,395,066,672,766,477,647,958,969,164,131,081,792,987,303,872,616,117,927,
527,055,700,429,510,463,569,847,445,702,242,180,040,004,991,355,351,973,423,
103,717,724,324,101,676,921,906,030,769,211,089,472,534,239,599,788,851,110,
998,219,674,280,374,720,370,106,778,608,583,559,865,828,132,708,857,673,475,
833,166,134,055,159,134,379,749,810,982,015,032,166,346,984,435,961,319,694,
195,035,379,175,011,891,441,647,165,335,760,030,439,155,989,148,117,597,531,
043,766,716,526,908,557,565,133,791,548,347,712,090,091,415,766,343,249,465,
834,477,710,842,231,933,804,171,265,187,929,428,698,557,363,691,292,487,304,
006,274,887,014,632,734,640,083,747,253,000,566,798,790,809,399,489,711,974,
264,134,771,643,590,400,015,082,936,319,415,851,005,376,396,749,345,065,700,
391,522,885,845,413,982,702,623,259,980,018,586,934,405,861,028,256,057,882,
628,480,317,133,017,496,565,692,035,269,650,995,360,658,888,979,529,075,487,
384,502,549,456,468,021,228,710,445,271,612,856,130,134,364,507,005,711,025,
395,492,269,844,400,197,498,466,632,355,744,016,208,721,600,450,894,732,014,
527,681,297,495,144,957,766,528,097,394,084,065,588,814,911,006,746,158,720,
861,620,962,536,508,388,580,008,563,658,470,993,469,666,284,014,550,279,572,
009,549,659,568,938,388,936,203,730,429,845,131,886,593,145,014,163,838,194,
375,935,402,699,049,115,084,310,090,004,069,900,266,240,387,580,614,521,645,
879,447,924,146,393,511,875,763,046,903,426,447,643,792,607,211,706,815,639,
831,807,441,332,464,307,221,367,010,530,831,496,204,158,040,002,312,944,059,
764,720,339,980,776,865,321,224,865,916,355,659,339,782,599,548,254,096,899,
391,109,496,550,019,361,138,155,441,477,419,254,113,313,367,770,636,791,918,
499,081,966,810,914,625,817,101,716,619,208,485,942,492,690,884,615,711,486,
894,979,028,360,537,248,778,444,671,488,370,054,150,464,178,528,294,412,420,
716,755,824,227,653,122,785,573,954,615,121,574,218,098,467,222,858,528,843,
630,376,449,746,278,778,320,883,265,813,224,174,637,277,131,464,816,397,049,
919,941,535,618,656,059,501,943,084,883,843,116,740,340,482,663,718,689,510,
978,622,183,444,785,838,909,780,376,080,032,217,200,124,277,266,361,981,642,
918,368,731,754,851,205,296,153,675,817,929,042,476,740,760,058,281,111,111,
472,064,342,864,814,701,512,053,335,651,535,161,887,199,650,941,975,686,851,
471,681,033,582,168,482,589,252,079,377,548,260,117,676,313,680,041,020,285,
763,276,798,309,296,321,737,487,818,828,706,699,326,681,324,188,962,642,383,
731,123,305,067,193,471,982,849,584,419,995,367,163,616,082,784,324,497,803,
924,336,041,828,035,315,474,288,930,957,774,810,140,262,058,400,846,920,854,
403,158,289,261,172,190,808,862,033,863,927,886,279,996,617,694,316,615,412,
459,984,451,778,775,735,836,584,324,136,247,235,241,038,208,077,084,284,089,
477,217,745,677,432,611,392,299,765,101,628,188,818,346,085,246,783,057,323,
192,293,052,586,224,667,848,451,525,416,643,262,307,808,257,742,709,715,718,
739,784,827,559,757,988,681,518,214,802,159,124,105,078,087,129,642,704,578,
669,017,494,345,121,055,026,134,252,971,937,561,424,969,579,211,136,093,445,
963,197,700,799,735,402,600,301,486,732,281,700,154,026,153,337,894,808,011,
302,745,292,997,598,448,602,103,401,019,509,808,599,226,399,630,222,512,837,
987,986,360,880,428,762,801,968,273,067,659,750,776,287,187,964,418,910,208,
272,861,797,306,305,260,855,735,982,618,501,927,457,457,454,239,917,522,740,
713,287,868,436,109,657,065,062,583,829,394,686,187,890,072,185,079,364,248,
042,420,786,220,735,106,115,646,412,799,452,056,735,497,408,382,717,709,969,
817,836,829,944,663,065,796,713,665,022,687,386,074,766,402,611,579,680,641,
774,274,040,912,659,304,081,341,458,267,752,091,889,332,177,646,801,597,048,
831,141,536,921,256,252,704,973,369,960,330,364,486,514,708,428,911,275,756,
024,560,106,135,891,378,364,774,379,473,921,641,182,133,359,554,505,766,953,
054,909,555,698,057,656,806,551,265,025,713,207,543,465,563,717,512,423,789,
897,603,355,076,948,910,047,722,672,809,958,234,588,181,335,005,206,853,894,
721,680,159,310,950,382,570,839,732,214,082,407,384,563,185,941,070,573,934,
884,658,553,143,928,697,424,848,120,631,326,550,620,311,017,254,628,182,186,
710,327,371,516,853,050,916,118,825,687,939,700,429,111,377,893,657,589,701,
880,400,214,382,959,122,110,260,309,541,095,280,459,481,689,001,115,117,460,
950,625,677,392,691,152,001,748,621,116,168,189,440,166,164,503,233,409,802,
071,310,868,407,518,115,590,822,229,422,094,026,606,251,555,365,193,810,689,
495,528,011,791,317,891,350,768,569,154,809,471,951,780,991,815,465,867,376,
756,636,984,983,244,567,863,694,273,677,142,348,559,374,188,339,240,407,280,
100,990,774,115,997,951,434,513,924,823,114,566,480,772,559,663,891,937,180,
743,681,474,628,253,002,476,567,615,493,687,920,036,868,336,639,330,380,246,
196,962,558,740,636,439,479,990,193,598,207,855,950,309,454,715,675,523,576,
989,195,223,971,532,529,349,727,515,589,648,676,092,883,400,535,306,397,956,
128,867,345,497,323,654,474,614,578,460,444,097,112,269,120,192,513,366,536,
183,629,626,958,029,030,307,250,509,458,770,089,795,298,612,757,369,475,557,
012,234,097,803,045,061,873,321,315,164,714,673,884,283,775,174,406,584,680,
966,112,590,279,960,960,825,175,022,037,171,638,195,830,419,026,828,482,873,
772,560,260,386,305,157,056,806,487,856,857,907,731,989,653,688,317,305,707,
395,654,896,667,751,087,093,514,522,427,845,652,883,737,928,146,975,810,378,
362,269,524,311,669,761,596,761,298,060,881,867,683,081,917,617,508,554,521,
076,150,418,259,633,691,817,220,978,125,040,594,393,910,163,872,487,505,693,
881,597,025,534,756,517,440,361,735,557,555,042,558,460,504,524,069,919,924,
736,627,138,769,618,872,281,634,423,438,611,480,457,674,126,875,284,697,517,
245,607,708,603,897,134,437,022,639,311,994,096,371,036,393,437,223,284,925,
202,959,654,321,211,279,597,461,670,875,823,863,829,395,398,930,531,884,920,
190,958,184,726,929,781,157,384,365,644,053,792,797,879,897,402,550,179,263,
455,354,218,891,296,722,571,333,902,458,975,538,954,418,178,205,364,211,696,
938,398,058,586,195,315,565,611,838,956,372,989,589,434,082,352,081,088,717,
374,777,563,685,807,308,708,227,319,902,702,772,663,709,722,762,719,521,464,
989,455,197,340,640,520,410,158,533,289,670,394,971,986,293,760,129,432,392,
553,747,771,414,169,315,733,849,185,192,218,265,872,887,415,498,856,404,120,
619,147,894,685,958,818,168,663,886,209,873,886,825,637,087,365,077,833,963,
905,648,225,059,268,082,139,736,522,316,948,482,578,121,334,537,320,403,105,
209,034,112,341,173,524,515,824,659,278,560,502,602,164,792,112,945,684,587,
343,213,840,560,067,996,509,296,832,820,472,832,025,970,506,857,607,797,962,
026,501,800,433,455,607,937,971,899,589,641,348,048,379,609,672,842,892,737,
791,533,080,040,197,540,944,762,713,474,173,169,287,156,063,382,548,392,019,
639,710,524,410,789,829,362,987,939,122,387,315,920,205,806,314,594,101,940,
775,849,693,334,964,746,213,980,594,593,289,369,442,745,306,610,612,063,186,
453,683,380,589,149,063,522,988,851,944,547,483,200,410,509,248,234,620,515,
139,979,854,191,762,874,198,134,702,608,339,817,391,007,631,791,656,108,534,
683,125,619,411,797,693,634,279,164,933,596,705,630,566,325,666,714,799,259,
703,091,129,511,572,350,309,618,816,005,899,724,420,369,196,874,039,836,356,
082,006,548,251,048,127,808,521,675,398,365,878,944,102,941,995,734,182,453,
834,214,492,268,376,053,947,010,448,691,322,039,101,671,309,751,689,319,990,
548,839,780,238,119,983,058,933,246,865,788,400,983,404,958,476,120,939,068,
149,078,567,382,360,022,799,523,195,928,245,940,392,484,894,550,831,599,072,
792,549,608,332,618,051,556,031,096,686,627,236,642,115,590,036,772,436,763,
195,329,797,182,439,326,329,405,806,741,354,544,593,861,422,674,201,498,665,
779,330,123,803,349,049,498,807,169,556,922,141,799,816,957,819,559,261,195,
641,407,054,562,910,034,978,305,761,911,268,599,118,186,365,691,953,963,339,
830,378,643,345,318,235,511,968,725,512,075,340,845,146,429,912,373,091,077,
925,649,949,504,878,147,430,416,423,973,016,286,683,467,881,840,098,880,713,
054,515,005,966,953,073,521,769,997,822,062,709,438,937,436,578,029,871,559,
928,558,483,595,632,537,669,690,555,532,194,326,630,587,882,687,300,018,258,
503,300,836,100,798,028,906,972,666,525,874,575,952,711,842,902,561,727,840,
641,783,073,923,788,932,352,178,913,691,991,145,627,881,118,646,528,119,501,
709,248,250,208,927,456,571,207,636,777,366,258,471,682,586,101,358,917,623,
286,916,876,213,400,151,856,164,996,931,986,222,286,749,349,561,830,146,928,
638,754,220,560,052,498,945,114,258,737,381,679,957,653,433,851,186,869,615,
442,113,310,446,084,827,746,087,537,543,630,155,246,913,772,415,256,953,736,
089,794,285,864,209,561,483,386,010,709,627,529,821,691,833,032,318,644,602,
709,085,735,987,618,118,428,066,014,215,862,716,611,795,593,801,290,525,802,
282,124,055,783,576,487,341,861,623,374,502,743,544,191,993,725,881,342,404,
707,586,540,815,051,126,789,294,851,941,664,271,050,912,163,823,572,246,873,
972,556,950,918,536,373,939,205,637,573,111,073,898,825,583,743,895,664,083,
327,428,266,961,002,489,129,507,238,826,371,449,090,904,120,556,869,468,591,
411,145,469,433,263,381,869,830,307,067,462,003,302,581,883,570,226,892,275,
286,767,467,868,656,364,081,917,649,350,619,217,796,380,753,916,625,584,013,
289,594,620,921,933,365,717,998,833,911,809,297,469,277,890,573,366,249,507,
793,801,322,904,716,109,448,893,252,071,790,295,678,886,118,631,103,711,477,
352,433,453,729,553,971,949,757,797,315,835,929,378,103,340,445,810,078,834,
036,176,697,803,078,105,594,811,192,026,956,486,984,379,594,450,898,403,733,
889,697,561,337,755,517,377,668,338,869,842,938,194,956,271,258,367,413,517,
003,691,513,239,151,062,105,654,184,824,748,363,575,847,401,029,735,904,229,
231,216,913,457,485,124,068,417,388,350,989,395,149,977,841,383,913,465,147,
199,158,666,314,125,163,191,575,576,998,305,822,521,276,592,231,149,010,945,
976,127,243,600,703,409,250,316,456,153,086,881,511,827,125,842,316,557,007,
669,634,564,190,862,464,954,909,300,212,212,192,095,036,941,199,912,575,771,
676,703,881,888,320,459,704,340,432,895,906,782,793,647,097,994,868,390,385,
811,660,787,662,234,416,043,460,732,880,611,263,272,575,077,422,610,836,950,
263,047,956,339,377,625,130,583,655,651,734,255,063,340,305,877,348,412,427,
850,350,590,139,057,320,764,187,168,118,430,616,265,501,062,677,936,767,333,
260,096,480,739,005,425,962,499,688,681,448,998,583,722,434,452,132,189,652,
751,362,340,118,208,653,386,837,498,623,598,689,737,970,283,531,645,314,019,
662,208,855,496,222,748,053,890,855,242,605,074,036,235,219,199,999,329,726,
480,072,199,768,213,195,961,323,714,336,444,559,288,834,512,098,067,114,714,
801,245,857,363,457,327,575,110,976,735,441,497,528,571,130,527,156,722,783,
545,258,726,559,502,817,503,513,954,856,683,292,331,363,931,477,684,475,960,
191,284,551,216,162,150,008,526,844,858,592,056,945,736,277,453,201,383,173,
959,264,969,618,611,763,862,296,518,007,746,348,408,404,663,138,024,953,883,
202,003,875,862,833,996,996,722,335,112,202,270,288,775,866,312,526,359,180,
659,281,197,701,151,005,577,860,464,261,233,559,880,256,319,246,189,044,812,
139,604,538,906,418,448,506,224,112,578,997,954,914,703,528,293,792,067,444,
939,711,339,084,311,866,716,730,943,119,667,027,512,561,914,537,107,140,157,
696,385,118,087,748,139,656,156,691,049,227,387,024,801,484,435,905,124,829,
196,676,503,687,670,458,281,211,045,191,227,200,616,650,576,089,002,709,374,
217,995,934,935,075,781,092,460,884,079,129,847,842,623,372,579,846,683,670,
541,665,953,055,927,294,667,018,518,462,838,321,722,816,612,702,641,225,129,
100,242,590,470,237,682,881,810,113,070,891,290,616,939,247,758,103,864,857,
153,275,549,706,647,892,636,152,841,798,627,411,485,578,630,407,154,773,585,
830,453,373,557,102,700,932,422,079,570,667,485,471,242,458,801,661,598,058,
733,327,504,869,000,589,050,162,491,070,485,675,853,330,242,304,966,922,462,
646,993,661,403,188,043,904,580,792,730,615,717,422,685,491,136,932,598,167,
979,988,518,733,519,246,383,819,035,938,495,023,973,416,011,059,843,865,175,
881,851,859,806,446,476,031,393,775,655,875,582,832,383,162,202,709,819,908,
287,276,624,653,644,039,574,230,435,689,128,512,969,120,262,921,537,401,178,
390,079,861,238,248,750,338,553,069,439,936,746,953,574,580,621,129,696,530,
855,108,936,144,067,924,960,921,367,978,130,047,247,568,206,437,037,283,180,
710,993,855,499,993,495,763,199,266,592,613,357,537,679,735,511,531,054,392,
619,890,617,146,452,615,818,180,997,096,592,254,253,228,171,196,896,475,795,
707,870,537,682,072,225,140,567,210,287,957,090,295,411,147,634,650,034,723,
430,357,517,547,635,288,827,250,448,100,500,100,728,211,860,199,200,704,724,
827,232,305,114,707,734,915,256,413,725,609,976,084,108,512,832,412,646,473,
017,896,139,187,631,775,049,741,689,510,697,798,861,712,676,010,740,475,791,
068,463,736,319,892,000,239,984,102,843,488,982,642,084,509,479,009,304,794,
893,499,783,266,220,327,107,004,869,780,166,474,042,820,564,274,058,765,113,
011,171,153,296,264,818,316,892,347,197,507,722,101,024,503,162,676,119,480,
306,978,372,334,377,685,567,056,813,138,702,196,099,349,820,141,968,085,148,
723,350,716,552,725,159,629,913,276,798,026,335,830,858,346,878,555,410,140,
514,252,593,460,917,030,818,007,654,719,515,730,960,951,838,922,624,163,796,
088,453,573,223,517,503,685,785,311,430,078,353,302,283,464,320,455,126,052,
247,604,180,384,260,174,810,310,087,401,000,124,257,510,026,540,228,453,249,
806,712,264,030,337,634,451,844,916,868,102,299,200,567,254,670,910,180,089,
136,378,794,086,615,369,709,821,344,915,916,091,853,792,998,263,089,734,742,
032,215,755,208,572,956,445,268,417,062,805,826,330,529,636,660,200,422,959,
020,335,014,792,680,521,828,606,228,298,094,779,309,765,367,986,531,191,804,
152,600,570,241,281,639,420,968,565,500,179,410,131,160,114,845,008,011,377,
286,690,109,399,893,013,881,223,548,680,506,851,998,766,108,802,733,154,476,
986,828,255,699,315,001,277,794,188,736,239,907,652,492,352,658,368,929,534,
501,173,130,249,048,760,910,272,426,561,372,713,587,571,666,800,138,558,443,
302,802,447,461,098,233,585,805,605,931,820,211,286,116,410,179,125,863,346,
434,799,001,836,933,013,293,134,928,046,983,617,737,542,930,729,185,333,577,
590,798,134,204,723,768,528,675,809,963,998,713,128,719,869,578,245,559,734,
499,033,623,172,494,445,109,506,273,529,683,078,671,621,254,247,624,710,756,
204,145,761,803,460,985,434,692,428,342,155,131,821,413,183,736,141,931,351,
032,344,262,831,846,103,177,815,290,570,723,529,671,297,498,594,327,041,996,
177,848,704,410,606,301,983,583,626,055,098,524,632,039,185,123,874,062,088,
383,045,921,204,328,305,519,354,899,777,873,086,147,235,601,758,003,948,151,
220,726,932,202,368,596,364,095,058,823,600,298,705,367,279,893,589,339,241,
313,739,525,773,981,570,001,438,266,365,218,559,876,804,664,492,688,232,656,
948,636,482,292,211,650,743,179,909,109,488,404,951,841,699,485,718,901,189,
915,032,832,249,806,159,409,409,378,252,631,476,063,176,187,232,231,121,669,
132,015,207,270,426,328,512,670,465,989,093,306,022,987,824,077,774,504,010,
165,486,841,502,658,845,094,829,261,334,162,398,663,956,147,095,603,543,627,
775,572,407,967,314,868,824,170,478,963,801,705,904,907,216,667,525,789,756,
718,433,160,469,125,572,962,652,699,822,062,106,700,537,089,861,689,165,969,
568,099,981,485,453,499,876,407,350,956,691,941,255,147,628,387,881,978,383,
780,615,353,376,188,975,973,359,896,581,591,714,300,258,120,155,073,376,450,
424,742,303,669,665,013,082,080,592,646,522,240,373,196,834,611,828,292,912,
843,210,206,530,305,135,241,713,561,785,466,872,139,254,865,539,511,489,824,
074,551,280,870,455,865,834,494,800,620,031,875,410,476,112,734,856,755,213,
950,721,725,212,402,239,676,052,489,483,733,322,352,006,176,991,135,854,039,
031,862,328,325,678,343,287,388,777,020,471,032,826,671,257,266,962,826,269,
109,327,526,069,329,325,346,865,399,862,544,795,184,826,925,121,245,606,961,
437,197,158,718,996,846,773,496,244,705,941,901,848,465,669,261,883,737,955,
756,266,042,893,896,910,238,367,978,599,242,258,650,180,466,429,315,135,039,
266,376,703,175,476,739,257,268,786,245,990,085,282,067,117,627,278,975,457,
155,753,725,376,308,373,356,516,161,428,728,259,322,770,925,241,389,926,267,
834,507,903,914,383,168,462,692,109,997,220,831,879,913,725,672,017,002,666,
757,514,944,172,884,414,532,633,222,711,853,312,908,163,994,074,400,276,576,
856,497,132,852,185,884,257,396,484,010,661,398,027,887,763,007,347,941,766,
419,071,626,500,427,416,661,003,391,215,556,906,886,297,488,407,524,399,095,
847,500,910,199,959,313,021,876,015,978,335,406,986,184,745,476,530,952,895,
133,487,661,894,895,035,085,070,067,448,054,714,229,072,706,220,503,653,896,
907,403,609,290,454,752,470,865,892,932,742,906,986,242,041,451,776,411,039,
785,789,317,329,131,852,691,781,895,389,958,714,252,891,685,095,876,449,978,
222,580,722,910,962,529,455,574,182,013,456,026,928,081,950,242,582,175,771,
087,090,889,920,154,503,537,996,230,624,074,136,007,081,759,887,947,307,813,
783,202,419,849,844,469,721,808,889,045,374,390,160,357,232,466,575,930,460,
480,097,957,837,772,752,772,275,104,583,753,157,179,158,266,759,472,128,453,
104,052,530,711,309,483,899,342,119,110,194,412,075,578,699,702,610,003,765,
063,036,182,065,684,051,680,564,943,496,535,601,890,072,986,059,623,025,505,
210,410,409,771,418,550,670,169,418,210,748,282,929,245,619,264,503,969,800,
100,079,175,654,378,128,192,553,178,446,246,988,793,128,092,623,236,616,155,
277,815,509,786,246,880,245,374,836,048,363,053,634,735,453,581,910,521,130,
498,961,084,852,177,580,315,590,048,694,394,601,607,983,681,455,525,640,661,
792,887,435,394,232,548,887,124,009,376,674,048,308,452,052,209,042,316,103,
987,136,071,144,045,605,700,776,076,419,105,816,915,513,885,270,788,778,151,
916,963,026,397,183,310,044,401,877,504,858,423,893,065,184,750,834,950,036,
928,653,217,684,264,668,026,840,670,580,366,669,538,208,563,576,613,760,318,
168,270,670,930,724,746,992,243,873,841,002,056,542,640,001,246,821,010,077,
752,090,303,726,134,120,364,837,300,370,318,187,530,274,324,067,249,567,451,
289,741,330,583,490,915,088,921,196,832,108,629,890,628,997,373,922,153,805,
135,254,492,388,222,589,188,225,176,713,645,694,073,340,303,639,607,091,436,
403,794,931,018,711,135,269,214,303,014,404,641,827,235,211,146,761,260,893,
136,672,758,557,565,173,894,771,217,594,900,145,579,003,603,034,716,217,475,
092,805,970,953,683,071,652,235,219,867,548,907,130,956,723,031,011,640,658,
232,420,981,498,053,095,739,605,057,690,592,412,810,297,566,488,641,443,025,
443,746,607,670,607,464,070,135,878,087,863,618,154,202,394,965,200,885,879,
826,314,796,705,820,219,766,769,986,963,834,392,140,869,692,122,122,535,426,
438,591,015,225,173,339,995,911,472,141,454,823,026,493,092,379,344,613,898,
958,994,636,091,891,247,857,499,887,150,219,006,370,581,107,954,326,669,947,
708,389,564,072,218,052,618,288,779,165,981,001,731,806,727,989,940,161,782,
376,749,262,670,683,655,244,011,136,376,521,695,398,792,017,969,701,743,769,
901,054,588,369,745,082,271,865,444,391,495,157,745,161,123,682,372,215,154,
449,794,266,471,814,158,021,774,836,574,690,803,789,364,005,506,622,552,697,
564,397,380,485,205,503,190,908,553,931,550,443,509,572,243,572,488,145,682,
833,691,896,485,734,841,010,538,657,815,096,836,390,813,755,036,821,165,996,
170,229,167,089,023,215,063,198,424,894,293,679,881,829,226,842,994,511,598,
293,447,345,966,081,396,327,829,469,650,761,926,275,641,618,916,572,355,797,
364,102,106,331,698,193,979,445,510,971,720,182,034,881,898,122,557,330,872,
889,839,480,446,967,779,510,326,470,895,227,343,376,539,350,734,326,301,376,
041,256,965,606,762,764,003,047,085,051,273,076,883,828,413,402,351,175,891,
901,206,889,621,800,654,816,409,121,716,122,175,271,440,478,336,503,303,540,
484,392,358,604,722,908,769,365,882,798,769,398,642,149,456,391,202,681,098,
921,889,905,243,272,552,721,340,369,737,666,155,361,517,750,138,880,974,694,
648,675,772,503,401,966,007,822,603,639,103,047,306,745,785,815,899,709,078,
385,163,868,258,854,694,205,688,920,768,175,870,424,728,805,851,202,701,722,
050,339,772,696,452,577,909,737,610,125,548,309,354,891,357,395,470,701,351,
057,317,920,076,540,647,929,344,268,073,936,611,726,974,850,418,343,489,113,
124,124,215,202,937,861,651,668,765,585,476,385,029,498,529,179,835,706,379,
721,315,916,136,682,925,797,570,074,000,149,264,428,457,659,519,336,044,108,
243,329,448,240,976,688,975,221,988,651,655,588,163,965,212,447,437,514,504,
546,622,474,432,800,807,864,361,993,194,322,775,452,200,843,042,677,061,835,
944,258,841,292,894,400,121,030,198,060,389,909,345,061,272,959,841,785,397,
461,596,043,794,457,333,323,265,087,416,643,939,100,620,681,877,767,155,234,
806,817,894,080,965,042,645,537,299,241,356,500,604,912,173,946,666,638,816,
137,758,852,721,615,753,424,431,939,114,797,675,593,712,549,995,759,216,818,
605,405,119,112,197,269,451,467,454,980,181,745,855,664,445,223,723,332,792,
360,137,958,810,524,284,622,073,861,334,933,758,300,328,565,321,939,701,610,
341,910,357,648,385,464,849,723,170,847,129,112,952,212,451,000,136,964,356,
917,978,162,431,683,428,273,158,562,270,553,865,286,936,203,890,277,715,184,
740,536,007,843,685,091,306,977,663,826,472,521,489,812,109,615,233,245,357,
492,977,943,825,614,898,848,735,286,666,216,587,862,995,960,388,107,158,090,
929,981,678,665,918,518,135,806,492,072,697,771,700,763,875,479,925,083,438,
603,298,157,249,019,724,876,090,913,347,167,633,980,187,154,027,861,430,375,
189,284,029,330,924,782,238,785,637,419,669,981,044,220,913,109,526,309,085,
503,884,977,520,074,033,299,203,988,012,414,478,149,855,665,153,952,242,369,
633,796,371,101,188,316,026,625,050,069,855,214,991,008,367,116,331,347,576,
359,595,751,692,368,064,015,088,898,432,563,472,815,283,393,612,220,535,350,
203,345,107,058,321,939,325,464,196,423,525,232,310,286,497,271,120,878,203,
950,153,532,459,909,202,371,549,491,067,773,095,884,396,389,748,987,032,144,
227,263,874,757,357,849,458,741,940,353,538,060,287,019,006,648,006,142,889,
332,505,434,206,865,299,298,084,338,290,017,200,744,668,200,152,640,205,222,
621,163,104,527,311,121,833,647,082,763,880,357,434,919,222,263,747,113,339,
914,549,549,908,726,968,219,543,765,505,354,299,016,223,669,425,993,464,193,
277,191,907,121,404,493,837,650,837,111,298,204,912,975,152,746,331,962,662,
617,269,931,536,808,402,782,024,732,855,817,581,720,560,646,382,352,700,077,
785,526,764,445,467,966,581,416,031,941,058,600,639,911,995,262,448,028,160,
061,878,390,785,900,954,774,475,135,214,392,296,460,039,038,379,355,198,925,
792,806,160,476,132,980,632,587,044,368,178,412,891,954,509,341,920,716,397,
867,566,193,290,444,014,025,790,517,767,132,225,730,080,022,712,163,757,935,
231,520,405,244,050,343,497,570,581,423,263,902,179,293,270,112,798,057,090,
233,111,375,061,591,239,744,325,902,542,251,148,018,871,154,872,193,542,897,
492,041,287,948,831,938,096,375,293,417,919,986,079,722,394,114,068,410,136,
519,421,976,115,870,190,842,851,304,540,453,311,353,674,863,868,579,363,587,
417,820,339,137,968,462,966,643,829,537,758,692,381,413,503,148,499,970,800,
620,580,433,332,607,340,146,434,092,562,380,737,941,264,590,264,934,756,963,
591,776,829,834,611,519,128,186,725,714,966,170,396,094,528,685,312,309,671,
385,398,356,730,562,272,208,682,746,722,259,687,310,013,359,506,108,677,555,
052,755,600,803,965,616,870,850,237,639,669,201,798,329,928,056,923,241,166,
372,326,167,541,098,537,943,252,572,336,109,949,767,015,452,760,971,664,588,
265,661,422,285,038,663,110,851,225,236,863,017,284,637,222,808,849,175,390,
451,242,189,331,212,302,733,135,616,840,424,083,511,060,381,194,995,194,930,
484,437,728,076,016,987,553,298,508,034,781,330,664,783,479,587,195,757,984,
770,274,178,030,402,083,001,857,650,498,098,676,285,113,538,847,276,880,992,
266,915,194,192,441,731,949,595,633,028,032,787,303,051,336,647,092,758,841,
733,911,405,637,296,096,853,735,571,857,113,534,101,197,857,457,101,424,224,
325,152,922,301,005,084,547,952,049,890,586,673,746,795,610,208,089,532,964,
352,302,408,840,057,464,993,833,275,153,588,616,001,274,323,490,062,652,565,
852,462,788,148,447,283,019,829,174,455,207,373,903,179,136,543,035,678,285,
288,878,221,881,644,243,823,912,230,544,127,665,259,880,951,061,673,912,475,
676,861,313,609,850,546,739,407,069,529,604,626,585,385,493,065,434,329,141,
250,029,391,256,881,803,895,794,818,715,560,380,887,509,259,340,607,110,686,
779,231,387,083,832,031,648,278,433,694,169,828,828,906,013,480,635,859,923,
668,106,088,967,252,289,683,596,857,259,342,557,377,345,600,291,546,889,195,
448,513,091,978,355,831,285,234,964,520,859,961,108,549,745,118,807,173,921,
931,226,001,392,632,704,303,105,808,879,101,826,261,816,197,639,096,233,124,
739,663,358,647,472,047,119,652,893,552,972,987,318,527,999,390,810,381,321,
744,937,652,882,942,822,818,490,803,892,875,829,714,368,156,990,379,268,794,
832,686,134,218,698,095,358,079,464,822,875,221,735,714,987,900,251,550,355,
339,754,154,621,206,742,161,600,618,581,117,827,660,544,689,414,870,340,306,
313,044,266,848,425,330,716,603,927,933,113,034,605,175,408,790,481,264,171,
921,192,399,718,030,786,977,638,610,864,770,003,778,253,930,706,392,737,454,
736,558,052,271,696,599,798,228,905,134,813,251,746,516,437,280,456,140,251,
881,842,956,285,854,523,321,535,514,492,091,707,494,508,021,280,443,316,726,
024,648,416,275,761,347,432,995,933,847,595,198,153,098,399,367,891,404,274,
077,898,889,251,986,135,874,052,674,751,169,774,583,967,647,318,238,607,934,
940,536,609,526,623,671,571,564,618,994,182,396,365,672,990,922,767,311,979,
290,964,680,037,335,831,196,599,434,846,204,152,814,588,621,323,064,059,074,
417,737,478,703,394,453,040,812,336,675,040,964,644,826,803,542,316,520,066,
308,934,616,194,065,036,836,213,161,397,860,160,789,800,403,507,395,743,240,
639,691,634,677,274,921,916,682,788,861,072,168,650,102,342,531,488,791,307,
334,315,844,274,486,351,021,601,930,085,828,853,392,994,454,596,949,886,000,
085,704,954,510,147,773,610,714,691,675,799,176,466,061,243,832,181,137,361,
299,871,076,445,883,811,963,710,473,079,853,331,327,739,449,453,619,139,107,
865,722,455,425,105,420,196,570,745,843,107,400,184,220,783,477,288,024,179,
844,931,746,430,734,837,238,268,981,807,733,569,856,953,447,042,654,367,020,
140,494,006,326,343,872,278,206,486,292,271,214,515,028,223,224,056,535,457,
532,607,173,448,142,313,796,638,592,850,691,253,906,283,287,212,155,534,840,
814,742,438,109,296,894,061,505,837,595,626,526,211,401,697,489,987,929,203,
990,843,763,123,845,052,242,990,744,689,088,386,781,183,095,420,444,855,354,
254,131,897,165,968,483,013,931,741,758,967,397,022,716,243,072,441,653,665,
747,348,341,857,499,458,371,826,145,408,327,937,389,780,287,074,567,540,499,
265,173,187,617,603,336,852,358,930,513,730,944,312,696,526,116,036,223,374,
687,979,674,608,370,047,422,369,295,584,602,093,247,932,546,429,786,118,774,
637,185,961,425,950,036,379,278,997,661,262,924,084,989,534,451,130,281,194,
726,438,961,304,460,861,945,391,243,120,875,253,580,350,859,691,270,308,037,
674,749,537,343,249,924,471,883,540,920,790,495,772,988,768,072,251,203,641,
158,924,779,080,006,243,111,253,666,208,275,381,491,552,379,274,306,596,978,
225,435,185,019,842,694,118,637,071,133,702,994,248,271,912,546,208,127,821,
029,106,700,392,238,877,060,153,767,569,303,717,726,187,014,493,488,287,078,
191,552,295,190,789,605,312,152,646,763,742,329,985,740,044,975,000,034,625,
480,732,270,076,986,023,674,342,439,728,317,155,263,740,728,739,856,313,693,
325,503,959,306,372,356,539,992,192,648,967,567,022,322,942,096,797,592,793,
767,164,959,317,978,206,190,438,721,331,887,990,023,194,235,068,234,257,404,
632,931,045,174,251,862,449,656,457,343,272,630,030,021,422,645,710,167,328,
214,951,139,520,342,381,253,058,830,841,151,594,922,241,911,894,002,503,637,
632,772,623,769,884,293,024,384,384,641,562,825,176,480,694,134,071,506,509,
900,085,647,643,924,662,415,841,866,668,876,378,640,907,344,890,279,583,194,
327,643,510,959,568,282,209,648,219,881,585,211,950,636,595,063,151,638,464,
543,632,184,609,247,892,033,510,491,899,899,689,967,155,404,806,141,343,182,
983,714,106,049,223,614,724,442,234,495,800,692,968,981,127,424,765,726,585,
955,525,879,156,750,879,439,488,393,144,084,307,668,056,672,692,025,206,226,
619,950,739,259,000,686,684,379,787,021,090,801,001,249,759,721,514,302,847,
909,040,617,669,931,153,509,713,965,417,874,739,479,616,254,109,852,466,443,
494,502,418,049,903,294,377,377,022,316,979,810,395,485,679,893,914,122,005,
785,543,491,555,260,476,087,961,665,611,166,730,137,388,019,042,343,541,385,
531,485,634,553,337,095,843,137,974,711,964,553,816,461,963,842,421,681,904,
836,389,737,866,879,302,189,384,770,945,677,257,066,866,917,282,684,674,157,
288,490,283,427,614,511,882,044,533,401,842,737,070,492,939,172,954,046,889,
971,174,256,456,612,974,221,822,559,368,979,237,737,505,041,990,749,238,975,
891,304,315,855,460,407,537,337,539,101,262,645,694,418,296,194,301,785,804,
596,071,206,016,410,498,368,835,134,868,143,506,869,936,687,840,260,116,261,
236,430,604,937,885,267,278,647,407,505,855,139,320,121,327,621,805,644,777,
395,766,187,046,255,215,992,744,134,111,386,799,916,288,926,389,273,296,098,
918,445,212,250,932,638,040,744,724,381,595,661,799,951,650,092,852,078,248,
089,809,811,223,165,322,279,260,313,891,078,859,564,800,550,791,299,625,344,
522,083,976,866,802,538,488,420,666,933,579,361,431,336,341,561,712,707,181,
387,828,907,621,078,192,469,857,849,551,119,448,024,212,998,657,736,549,344,
049,980,276,545,951,851,920,173,139,402,596,604,692,315,965,339,648,202,306,
571,407,897,316,486,937,414,876,966,470,912,566,539,272,042,481,217,892,600,
503,669,005,439,054,231,406,380,526,183,842,118,252,404,990,653,686,339,038,
180,255,640,619,768,469,410,779,382,258,446,117,179,145,369,510,651,148,520,
955,802,264,211,333,207,554,051,292,696,132,403,412,893,980,886,284,866,087,
898,436,956,839,245,543,209,683,279,932,242,781,924,002,274,932,028,138,173,
832,782,803,890,085,582,113,609,470,296,555,260,443,601,350,522,632,980,806,
815,400,524,256,667,818,766,223,025,122,444,702,086,113,401,437,420,662,444,
121,681,674,077,485,672,359,409,329,648,210,194,892,761,997,157,358,216,094,
797,867,681,984,239,492,481,683,428,552,041,574,873,197,530,343,974,517,077,
695,385,013,627,739,328,515,038,133,966,380,656,817,114,545,724,121,965,038,
834,852,272,768,397,577,607,515,593,167,267,513,330,864,079,842,385,085,893,
561,447,415,985,542,274,451,424,465,534,707,304,967,260,071,963,417,634,234,
301,134,137,498,878,271,994,153,315,391,080,992,676,125,898,037,811,088,386,
635,371,143,931,661,752,872,088,122,715,592,741,246,498,791,711,390,443,143,
826,147,414,542,056,110,307,333,841,541,195,599,618,483,149,603,489,047,941,
241,301,146,894,494,749,751,762,288,474,092,851,560,042,212,958,529,160,724,
618,100,180,829,168,371,871,239,504,948,039,812,163,975,127,382,134,889,967,
143,501,503,993,284,186,240,278,025,781,007,434,236,247,576,541,167,297,019,
287,534,955,513,619,640,196,637,045,636,338,310,274,792,866,354,917,604,054,
619,021,440,545,694,294,705,516,701,129,498,410,493,273,299,892,138,238,949,
377,407,542,524,737,494,476,330,878,880,990,912,379,519,310,795,915,895,962,
314,767,031,406,768,757,175,036,833,650,323,489,821,216,041,607,937,838,796,
273,864,661,774,987,006,955,242,860,715,229,934,871,860,365,463,452,198,952,
370,865,075,773,538,724,778,047,161,598,469,654,985,321,690,942,368,890,784,
506,671,565,791,666,420,941,918,404,329,167,809,621,383,512,512,036,877,483,
872,114,492,013,041,816,271,064,933,249,475,617,130,807,552,925,619,912,620,
345,181,435,808,428,407,636,515,208,900,582,068,208,310,225,257,375,552,625,
861,591,963,213,483,991,631,537,147,406,172,144,119,338,084,029,737,302,399,
086,536,411,562,506,606,840,971,619,329,317,249,729,721,710,572,252,585,855,
071,026,717,456,963,891,300,839,573,165,226,517,500,730,369,275,837,680,658,
431,186,511,381,736,321,128,323,798,440,434,090,222,986,386,747,661,069,254,
533,671,663,055,013,771,056,083,419,551,537,065,380,287,619,674,954,624,167,
307,853,906,401,877,878,589,432,437,358,960,220,711,969,038,626,858,395,119,
361,580,817,800,857,917,377,292,698,273,707,365,887,699,109,766,874,466,899,
838,267,599,446,696,281,403,657,995,096,591,189,650,669,411,906,614,311,909,
677,173,376,009,070,298,764,835,564,665,189,625,268,248,663,876,313,612,637,
549,906,859,377,109,539,993,693,147,715,492,121,812,814,643,172,448,163,285,
300,591,864,442,612,934,301,498,186,428,303,332,299,453,653,094,536,705,778,
288,477,198,802,845,550,724,055,618,990,678,642,444,748,718,521,148,900,034,
533,789,819,474,347,434,604,411,703,522,796,448,198,481,178,422,957,262,670,
905,488,104,308,769,048,023,102,786,733,270,233,442,500,767,837,563,311,852,
254,914,910,778,052,702,847,098,757,755,534,182,605,003,162,898,427,147,122,
713,548,746,840,797,916,781,558,733,906,195,651,472,824,290,964,938,107,759,
588,523,729,138,722,422,111,962,422,343,915,456,081,296,288,790,024,211,059,
133,655,360,251,850,161,625,986,757,253,710,975,095,737,728,374,556,603,089,
043,657,481,758,615,816,679,610,232,747,648,648,830,101,144,348,134,480,229,
800,067,578,346,315,675,522,199,664,215,180,187,220,089,912,714,713,660,579,
899,372,161,430,303,598,388,873,051,775,694,105,903,004,588,247,852,112,115,
747,728,094,183,334,519,669,467,210,300,174,028,625,743,774,379,203,532,029,
402,655,749,101,455,212,184,160,991,938,091,515,222,688,074,308,424,455,879,
849,459,615,591,318,946,128,604,589,770,734,582,435,017,188,699,754,049,756,
969,840,137,751,002,460,733,201,137,224,119,274,813,422,579,326,449,402,933,
326,018,889,205,176,809,251,235,395,997,994,651,018,129,849,863,655,790,353,
714,162,802,081,065,758,198,545,389,267,546,619,375,333,950,563,644,314,995,
848,808,935,184,991,364,387,208,233,797,568,283,297,318,331,299,929,919,079,
789,322,073,952,714,195,907,223,608,276,222,273,620,053,800,779,474,637,104,
546,925,835,030,039,757,938,678,737,984,052,796,073,526,137,288,612,684,037,
140,836,682,152,580,193,990,149,495,031,012,965,796,681,528,532,863,873,030,
225,506,171,556,543,335,951,717,542,983,354,330,345,459,693,125,457,758,329,
184,568,601,396,313,982,761,667,339,772,468,698,888,379,291,767,204,132,992,
839,709,085,502,494,893,502,791,171,113,656,947,385,317,413,419,552,997,122,
618,894,768,332,346,142,896,000,512,826,922,862,494,622,929,074,154,690,246,
864,512,612,675,951,226,759,634,262,521,808,405,533,792,986,412,603,578,160,
097,002,757,747,093,592,687,494,845,984,190,713,663,626,295,494,090,302,381,
762,210,055,984,539,716,074,427,422,604,650,552,785,348,167,893,679,972,563,
075,696,207,856,548,490,588,120,035,983,306,841,656,329,556,656,010,800,207,
035,653,931,518,758,625,646,788,773,302,624,045,026,809,174,613,397,542,755,
593,064,729,320,070,328,817,647,963,941,334,977,261,737,164,460,124,981,849,
714,508,757,216,453,799,301,646,388,272,088,914,396,894,405,220,548,742,282,
348,758,992,006,030,869,337,405,660,782,067,616,360,458,901,872,663,127,021,
524,959,936,552,566,697,937,316,014,898,256,220,134,388,180,848,084,568,771,
319,372,087,685,116,641,605,105,373,816,098,251,314,911,832,761,268,613,522,
492,494,446,983,981,721,354,806,803,097,699,681,387,087,157,680,478,950,090,
743,154,238,692,286,786,152,765,440,763,788,196,536,329,692,346,848,359,480,
604,180,809,831,724,120,072,193,359,051,584,958,033,590,691,968,006,216,772,
870,466,414,371,267,118,597,783,320,800,657,269,283,393,449,230,351,913,396,
397,771,401,026,480,544,406,846,861,906,733,451,494,729,195,588,512,562,684,
236,324,164,064,518,805,883,996,899,733,172,198,856,404,195,978,093,517,684,
470,087,131,722,995,638,862,843,294,346,488,851,093,442,542,947,204,358,103,
088,784,270,018,743,407,827,983,242,129,250,646,095,849,008,965,540,176,146,
263,770,520,181,382,077,494,540,835,261,210,023,863,568,228,043,242,719,353,
084,245,186,411,379,086,109,974,239,504,967,500,960,932,461,640,305,885,872,
462,030,151,861,888,123,594,232,344,076,371,253,011,265,542,553,824,538,044,
032,385,192,327,555,478,604,842,592,962,355,990,657,738,108,744,237,270,958,
283,996,604,757,126,458,305,207,790,069,787,892,287,380,838,581,898,356,549,
538,953,502,405,593,180,498,702,024,604,159,628,483,601,103,245,694,327,746,
555,428,479,479,935,360,597,199,453,055,805,993,849,417,356,631,696,603,949,
568,117,826,307,954,304,739,021,200,705,145,672,121,502,532,244,717,495,753,
071,902,286,501,220,272,235,468,847,172,397,934,505,376,219,021,743,686,728,
550,175,380,749,678,737,667,563,746,918,198,867,906,783,397,992,885,589,259,
245,685,044,501,462,471,454,352,898,652,030,975,178,807,248,531,913,156,778,
134,960,729,873,720,253,471,644,175,907,261,677,429,308,407,320,847,716,934,
116,481,102,560,552,942,702,366,106,645,612,863,156,179,915,347,799,430,584,
967,319,085,846,154,782,439,050,123,539,026,683,617,353,866,032,661,282,727,
075,017,896,666,935,229,060,152,682,137,097,986,328,265,326,673,363,962,192,
264,647,896,069,618,098,803,713,216,147,234,815,222,383,591,946,564,327,399,
853,347,583,217,808,837,854,888,810,576,617,009,190,436,890,037,903,656,864,
758,699,526,907,904,230,543,513,290,243,255,339,707,542,601,112,349,953,870,
901,973,352,807,051,267,590,222,232,394,821,620,095,833,077,152,674,132,588,
193,547,152,444,067,730,960,831,715,255,450,232,480,341,346,123,532,748,686,
273,261,048,730,143,919,591,553,170,199,217,318,842,858,758,176,018,621,468,
585,574,146,379,054,979,439,833,144,039,870,123,764,457,714,394,894,624,275,
810,187,393,067,629,464,594,185,676,788,497,214,246,236,415,220,646,388,516,
489,787,980,036,736,512,721,890,182,230,646,019,979,145,017,899,356,981,008,
165,438,558,863,454,173,605,176,199,896,447,459,690,286,610,824,298,740,522,
451,011,692,743,212,567,647,919,068,665,997,752,096,732,990,481,594,934,881,
388,725,145,107,182,937,715,640,447,703,031,076,699,449,306,807,792,111,481,
713,752,894,179,890,764,669,392,352,780,057,246,952,197,603,390,950,281,504,
680,766,520,216,479,654,492,417,953,202,679,703,149,517,837,474,909,428,204,
674,081,873,184,276,076,538,291,380,477,101,526,713,375,194,932,066,523,834,
581,537,548,171,405,779,114,046,470,553,450,950,251,327,133,091,154,079,434,
215,138,788,728,724,652,572,751,405,697,741,883,838,721,002,854,222,789,340,
317,818,406,839,611,878,825,917,110,735,245,675,065,552,605,188,522,197,037,
640,602,509,827,887,101,337,205,715,411,784,970,406,030,611,245,508,410,629,
502,904,493,086,671,434,169,738,166,052,467,606,252,143,896,836,268,517,275,
997,029,434,040,328,608,923,342,687,840,618,979,122,556,317,687,667,884,541,
662,848,441,510,475,961,653,415,185,710,420,888,971,632,436,899,227,211,542,
790,101,895,747,197,521,841,074,164,100,674,441,978,555,352,832,827,954,137,
962,312,485,386,198,654,301,727,547,014,460,720,144,852,470,394,019,897,964,
101,143,032,559,024,778,082,309,645,354,535,627,431,584,258,744,257,658,685,
151,891,468,185,913,840,666,488,057,519,038,833,666,303,830,108,023,028,798,
923,404,066,320,014,882,825,048,474,605,841,148,420,841,983,363,688,502,565,
043,939,301,151,414,914,334,809,360,154,209,088,848,570,241,205,855,546,778,
930,216,982,184,648,395,407,709,501,152,915,371,206,893,453,707,430,644,328,
141,158,293,237,379,094,492,787,682,576,332,916,025,675,563,614,681,732,968,
382,921,933,327,135,278,423,090,696,019,795,788,382,743,344,595,397,765,978,
391,144,417,774,465,941,078,601,191,057,658,861,380,970,006,939,369,806,479,
835,240,358,994,967,497,688,695,199,686,277,565,401,799,322,251,931,592,496,
327,243,593,169,980,775,408,024,248,958,941,259,621,379,653,662,153,027,754,
430,861,811,562,702,742,925,176,968,298,574,889,417,576,528,158,652,456,678,
205,615,112,906,557,837,326,308,241,257,820,003,485,998,647,119,659,372,666,
981,074,083,784,171,003,714,271,825,226,144,124,102,158,060,430,656,926,345,
104,339,209,074,390,617,107,266,551,841,343,182,486,532,086,428,260,689,681,
850,604,836,391,719,051,701,153,189,014,204,624,974,189,440,469,314,741,807,
015,275,984,050,164,765,061,142,955,136,369,553,000,429,434,054,829,962,715,
171,654,522,267,560,693,465,116,102,844,025,621,460,884,211,342,535,785,188,
144,881,233,323,880,306,810,318,528,139,257,192,550,853,992,047,364,514,847,
040,533,926,358,202,131,295,482,358,836,783,627,771,220,773,165,251,817,217,
326,305,190,798,638,501,764,309,859,136,877,587,977,639,180,807,966,763,424,
368,278,509,938,882,842,142,778,231,429,453,712,861,105,886,228,563,057,687,
606,073,730,303,840,181,079,516,894,926,280,596,365,607,111,002,781,450,173,
228,185,086,437,090,651,630,276,618,875,892,811,569,582,453,891,243,260,915,
899,002,029,679,667,593,270,566,873,926,797,601,539,143,357,145,357,852,576,
888,394,027,763,174,094,057,396,092,935,138,414,034,353,975,157,831,210,310,
217,854,906,178,347,697,464,727,845,970,787,934,736,888,850,855,573,929,655,
062,218,410,394,899,989,351,840,688,840,242,772,798,144,290,368,432,206,585,
621,405,735,902,994,563,474,724,269,466,409,913,120,378,246,185,456,419,277,
619,776,057,288,290,217,489,107,171,685,134,676,922,386,618,079,446,111,306,
631,531,911,858,632,575,327,951,768,310,253,560,526,498,581,535,930,517,372,
304,647,047,993,407,556,120,461,325,232,572,427,313,107,445,194,606,121,537,
075,369,353,377,694,227,103,862,452,306,135,291,333,661,111,712,201,170,506,
888,952,426,345,678,117,970,157,827,431,297,276,078,900,159,313,583,029,868,
748,020,234,708,421,595,060,753,392,833,674,336,077,275,776,865,322,316,634,
524,758,759,249,303,008,156,496,499,162,250,651,816,345,658,401,323,499,368,
281,032,228,785,372,696,070,961,774,762,391,517,246,613,778,084,056,348,075,
635,421,482,178,797,068,985,616,868,256,671,885,517,358,875,786,820,676,318,
010,821,835,010,455,820,125,445,532,532,728,238,941,470,518,512,304,627,666,
179,341,159,526,941,467,657,542,631,449,485,746,644,369,152,046,748,396,935,
019,521,848,842,497,992,185,298,321,103,310,862,506,372,128,471,401,388,890,
102,251,388,025,574,144,207,545,870,537,628,826,751,830,173,651,624,363,966,
795,319,761,086,892,163,771,049,853,035,209,372,478,279,838,686,302,953,749,
029,497,450,575,396,307,530,915,755,985,694,693,707,779,624,814,195,926,736,
872,004,404,715,097,755,690,963,647,270,618,183,113,636,286,019,130,369,624,
128,332,797,406,522,508,651,705,019,208,624,974,452,929,451,881,731,368,776,
462,769,978,915,457,075,994,692,458,659,559,008,889,788,987,340,327,176,401,
566,117,417,297,477,212,856,675,538,774,826,901,735,378,767,620,872,607,011,
807,363,579,617,536,010,158,610,337,099,092,894,248,723,609,462,496,754,981,
719,062,289,718,832,340,253,069,582,789,538,431,083,667,951,785,277,134,762,
831,839,708,635,063,080,156,993,342,505,343,660,289,608,804,584,763,489,961,
479,568,094,167,690,542,790,880,260,309,025,108,901,918,301,932,717,611,021,
732,756,164,565,384,395,748,217,199,304,547,417,008,508,168,288,187,237,698,
492,415,796,016,210,481,595,586,578,484,767,574,998,725,756,838,313,617,080,
395,366,321,847,493,882,525,413,669,664,786,466,150,908,146,857,955,648,811,
316,148,306,340,049,115,731,487,825,372,516,086,254,866,686,380,606,748,756,
971,641,924,455,604,023,071,658,198,589,424,907,068,338,746,647,382,335,118,
914,093,419,231,357,399,053,656,172,710,367,883,544,677,718,012,823,030,781,
238,576,056,203,795,925,185,591,616,307,029,219,698,318,205,587,153,558,200,
310,498,594,311,566,123,885,120,950,862,214,956,972,485,684,399,073,298,540,
480,716,331,246,408,550,164,729,053,948,914,566,495,892,324,008,922,215,715,
389,331,269,386,566,875,965,454,134,980,240,447,030,776,808,644,131,747,067,
856,593,818,405,219,852,975,527,032,454,754,541,340,460,877,994,256,370,694,
161,705,241,669,201,226,392,701,804,777,250,037,634,319,760,127,285,618,841,
928,969,949,987,100,461,859,178,896,065,504,966,408,271,639,857,534,504,771,
359,840,829,659,178,910,615,562,336,233,868,903,023,508,938,131,242,448,866,
515,094,343,460,578,368,890,390,168,875,078,361,721,342,595,008,649,840,993,
067,678,662,493,027,518,723,340,926,915,694,486,318,874,398,355,942,092,687,
734,718,980,136,399,052,477,184,386,445,275,854,405,832,432,590,940,311,164,
342,547,380,721,337,874,654,842,460,063,692,758,360,762,663,789,126,547,177,
087,865,816,103,004,981,385,413,418,121,339,365,084,188,678,517,005,421,700,
104,106,009,262,884,704,571,608,988,021,750,851,302,696,689,134,991,124,465,
371,972,644,712,229,694,223,071,782,470,241,582,722,963,671,366,269,881,264,
938,161,111,705,664,350,376,369,153,404,312,208,093,713,072,479,499,923,602,
667,663,734,510,226,724,557,610,894,130,819,969,049,205,330,638,682,583,679,
749,572,166,759,024,234,556,905,023,304,549,553,502,153,777,463,631,567,616,
608,218,265,327,897,408,244,172,266,102,193,115,439,864,345,882,351,280,988,
727,755,879,991,096,565,179,014,381,022,249,766,839,361,721,645,963,570,210,
226,900,346,278,383,742,189,895,359,210,236,102,902,125,167,655,363,200,076,
830,149,743,746,371,870,281,652,304,642,210,519,959,235,101,794,814,240,249,
273,002,126,021,030,499,156,109,422,930,090,843,304,893,722,929,707,561,457,
670,828,176,313,445,664,960,179,428,339,257,725,010,480,752,486,737,306,386,
316,295,959,110,362,957,374,784,204,887,408,585,080,754,643,056,894,750,621,
038,446,347,234,338,952,290,854,108,125,076,245,535,198,756,068,938,205,872,
868,368,053,224,937,087,117,908,868,512,628,977,625,116,856,044,086,823,225,
647,874,026,557,704,263,133,580,637,029,539,400,244,820,808,554,760,885,206,
030,633,673,238,984,017,618,029,425,079,795,455,400,242,524,900,697,803,347,
015,435,515,182,882,379,551,388,985,649,166,868,735,120,245,579,791,775,491,
264,837,159,033,610,506,765,503,349,768,548,982,381,902,145,978,003,884,872,
031,867,222,233,928,845,794,904,243,101,024,607,215,690,949,383,124,173,284,
509,023,934,086,681,078,283,799,368,950,400,069,498,905,819,386,835,769,215,
898,302,952,086,742,165,343,135,731,808,592,901,805,232,169,345,185,845,022,
136,533,732,372,221,874,602,327,472,028,403,354,197,867,885,752,121,632,054,
916,042,223,405,589,466,412,520,896,168,317,733,943,977,942,207,773,644,002,
925,890,485,988,526,874,201,222,891,389,145,129,238,796,684,942,766,493,041,
420,333,653,476,659,413,971,565,450,915,192,995,224,944,453,178,114,242,141,
633,377,539,870,824,420,581,344,080,631,948,064,971,844,090,356,520,576,038,
338,326,446,572,617,730,861,395,532,816,159,745,490,842,627,654,997,183,056,
521,814,972,462,497,448,172,038,056,650,408,937,931,221,297,553,708,964,475,
497,276,067,622,748,533,568,273,607,659,890,104,745,102,032,734,739,576,538,
079,680,079,056,252,783,724,873,304,469,553,173,866,991,243,648,263,063,053,
797,362,662,514,925,110,501,893,808,956,069,553,123,240,333,330,298,804,826,
973,708,289,638,844,498,259,370,955,820,087,313,623,075,221,733,875,909,763,
933,643,721,477,296,125,183,497,879,666,125,348,331,049,856,168,617,319,343,
262,355,030,424,944,184,684,657,678,172,924,506,390,235,599,891,229,560,038,
288,228,248,922,367,361,227,590,401,079,261,572,307,690,681,532,647,789,702,
978,359,337,345,982,672,945,354,404,578,206,461,262,168,516,145,283,351,525,
069,327,862,507,407,280,948,791,190,642,575,624,853,355,793,933,510,425,635,
797,986,493,605,036,264,745,681,023,297,784,713,012,769,901,837,559,478,899,
899,299,790,266,714,036,239,546,202,312,286,307,624,087,052,904,612,178,439,
541,814,083,950,492,471,911,478,450,231,252,345,425,442,833,508,744,265,014,
515,931,922,116,922,730,671,351,813,927,008,575,953,447,417,267,111,423,727,
577,065,716,086,644,499,135,673,254,740,107,188,884,259,946,192,558,075,828,
151,073,143,335,183,876,326,679,704,376,374,477,574,963,046,477,957,530,953,
319,604,723,226,748,998,706,447,577,691,018,152,945,913,588,313,868,792,822,
746,055,424,085,785,281,526,243,454,281,651,860,036,708,106,119,069,004,962,
528,533,559,408,334,912,290,958,519,676,374,349,150,990,986,670,750,859,671,
338,418,820,219,810,712,451,991,757,625,874,160,087,600,680,921,656,378,942,
042,963,723,674,403,044,677,621,559,184,785,773,506,525,458,713,537,702,640,
559,570,993,772,341,316,244,583,127,996,640,575,534,082,839,738,269,512,140,
226,926,125,513,120,399,771,784,914,197,269,961,464,839,641,674,020,771,851,
791,911,664,293,649,568,949,113,047,090,853,210,217,023,068,592,288,955,232,
506,436,621,275,774,338,537,382,218,620,936,392,869,341,966,365,358,019,932,
399,724,707,527,353,808,999,121,705,785,572,796,381,729,644,289,035,507,330,
308,365,837,407,197,890,550,806,789,840,781,153,334,054,594,027,833,443,543,
371,479,421,952,665,039,956,675,052,145,680,567,451,047,145,931,429,352,072,
602,367,401,971,401,692,925,010,848,822,844,072,497,576,496,326,548,343,584,
436,867,257,698,578,534,337,186,024,342,154,442,700,770,178,482,071,818,441,
635,980,261,669,594,824,208,799,234,284,413,311,439,845,348,808,142,823,365,
973,522,831,293,459,595,743,960,262,773,070,410,173,079,022,578,025,525,375,
164,853,918,226,505,369,672,636,700,883,624,319,183,463,603,527,484,804,274,
073,812,275,302,050,321,364,865,177,995,730,705,795,556,454,017,905,458,632,
776,546,304,964,829,088,888,458,266,573,732,415,083,328,157,059,189,542,255,
612,382,579,554,089,271,712,439,174,494,844,187,917,861,617,353,066,368,051,
582,391,820,852,430,721,951,856,703,508,060,144,877,380,805,937,932,304,471,
159,480,138,188,145,212,351,352,911,794,620,803,940,675,585,840,145,771,259,
197,372,662,078,526,480,327,537,494,841,072,371,687,098,756,789,327,728,408,
795,101,874,545,417,132,188,070,620,702,756,910,113,348,608,699,438,270,997,
593,314,652,968,917,341,255,334,802,481,498,541,322,783,905,706,891,881,219,
105,801,420,326,732,229,389,084,955,749,637,199,864,348,668,367,031,955,226,
708,552,653,968,578,590,754,324,075,017,244,463,691,018,181,453,091,891,118,
618,838,560,535,189,935,123,160,027,163,206,604,034,080,487,854,615,654,957,
290,957,567,348,721,276,652,468,855,217,536,540,364,750,568,202,148,474,820,
611,896,765,455,153,295,653,595,045,334,401,810,893,078,648,468,332,097,653,
392,146,552,441,967,314,309,741,109,297,884,494,081,494,453,659,435,021,498,
128,187,161,690,987,115,643,584,667,918,831,039,990,018,556,104,086,859,041,
251,857,858,377,942,322,699,476,518,291,053,295,283,566,219,005,883,626,564,
559,997,836,806,102,642,461,295,381,003,633,641,813,707,582,827,427,849,626,
277,348,120,556,774,341,114,490,567,307,831,513,224,508,420,503,669,602,256,
623,500,710,759,947,822,203,348,142,523,776,728,933,322,138,304,103,986,722,
569,842,075,140,338,766,060,560,461,429,882,078,201,473,104,710,186,334,687,
127,487,547,928,694,791,014,525,245,070,429,789,263,220,991,408,333,378,513,
463,988,135,779,636,305,348,542,608,243,712,655,742,510,012,534,898,602,359,
243,506,449,281,970,889,418,292,558,098,831,558,866,504,818,484,188,527,519,
582,155,273,205,732,034,490,808,511,212,114,749,075,283,945,937,487,070,531,
347,358,563,190,101,834,220,846,605,180,142,276,136,423,877,510,523,122,508,
622,829,457,510,869,876,666,630,986,285,090,109,381,292,854,371,924,414,511,
924,736,737,487,996,193,382,779,993,899,863,046,776,119,707,132,367,568,637,
603,992,524,986,633,417,501,369,482,731,006,443,237,579,478,238,733,041,263,
548,211,542,019,401,625,013,020,213,425,568,429,558,720,834,048,333,483,839,
252,026,686,910,929,343,525,133,451,279,457,460,274,969,359,750,781,507,203,
468,665,114,007,656,756,516,146,077,023,637,245,672,929,887,395,613,248,575,
422,717,587,984,168,603,177,915,347,421,479,748,742,030,908,992,187,832,156,
787,759,205,750,274,154,925,368,140,516,860,136,082,608,586,687,407,440,275,
363,221,842,358,823,546,039,719,795,157,821,703,604,962,217,950,285,666,385,
198,773,430,461,807,572,855,312,789,840,509,668,936,021,086,371,667,793,770,
306,757,746,213,831,043,195,143,383,555,568,259,639,385,152,990,859,131,739,
756,893,277,495,334,956,475,893,778,516,722,482,785,780,222,032,061,021,502,
186,880,220,798,065,866,032,179,786,944,146,359,209,738,525,753,034,836,680,
965,017,605,510,807,837,578,241,563,764,010,553,570,715,845,760,498,764,618,
351,900,476,915,746,744,645,497,017,610,410,540,923,496,304,038,935,660,595,
225,670,698,562,973,352,251,048,722,161,790,389,630,830,712,484,231,934,360,
790,740,096,257,235,611,884,064,949,244,674,671,740,658,432,914,964,033,402,
992,544,335,478,949,038,406,169,003,389,224,205,934,956,134,373,539,098,325,
144,506,365,830,366,976,738,373,223,252,528,742,623,052,937,455,690,956,254,
785,516,185,493,293,700,360,944,166,200,397,446,126,695,879,606,101,987,411,
856,698,007,924,266,486,386,755,468,779,471,306,699,550,783,577,492,614,663,
423,910,256,096,100,419,161,022,570,849,049,473,052,333,909,677,791,895,845,
455,766,027,790,061,441,294,337,690,762,926,342,947,236,790,738,585,712,655,
546,185,530,392,782,568,303,634,277,817,440,526,833,552,972,289,241,510,958,
330,852,582,771,170,368,925,602,369,373,359,365,119,436,936,987,554,286,403,
914,684,339,859,663,669,943,502,777,622,869,650,326,411,529,396,783,476,317,
690,732,017,995,209,102,345,758,146,044,638,986,062,760,073,061,005,521,244,
593,185,172,558,967,794,951,141,930,589,741,367,111,985,693,044,853,901,082,
074,540,654,872,253,985,070,574,876,500,194,915,227,747,590,516,395,875,824,
214,497,338,819,982,624,780,406,834,744,382,421,364,856,304,977,744,502,039,
232,410,617,563,253,474,799,463,759,226,454,604,835,812,266,865,698,092,820,
484,550,913,491,033,623,740,368,153,595,265,595,966,627,952,075,706,510,644,
696,506,092,466,664,145,553,613,184,974,996,277,732,910,961,751,823,196,064,
236,533,351,875,544,554,455,843,989,038,302,312,700,419,328,931,905,261,860,
619,720,118,738,200,924,782,067,429,734,093,272,067,208,371,748,442,607,874,
726,025,061,784,676,290,282,073,713,672,523,985,386,505,462,227,128,235,361,
299,122,902,269,083,486,997,633,370,697,421,258,926,008,447,299,447,736,307,
150,500,036,212,680,836,096,644,390,052,767,441,982,932,989,888,868,612,857,
426,575,183,344,624,009,392,309,009,582,178,048,466,638,176,933,039,811,987,
801,472,761,645,441,608,748,068,282,278,383,353,716,444,650,480,478,800,422,
482,167,602,800,669,472,112,367,019,408,273,897,433,050,496,754,441,195,777,
307,165,061,113,024,036,126,600,928,072,519,833,070,570,504,930,972,914,366,
391,150,551,405,968,493,805,274,579,457,278,327,332,909,454,605,137,355,520,
416,938,492,418,491,765,244,661,851,593,522,315,578,714,220,328,388,303,803,
476,045,810,041,869,712,249,449,419,042,969,249,679,090,353,464,578,667,765,
049,291,168,065,679,662,784,496,282,066,364,672,309,205,985,129,462,446,433,
313,080,599,022,674,674,987,343,654,625,359,433,552,840,909,806,532,198,433,
323,208,964,002,531,745,661,076,107,133,734,578,550,455,357,055,804,643,266,
370,745,368,940,513,108,176,886,483,172,251,953,549,539,080,862,234,804,177,
214,352,831,567,149,454,404,446,786,704,960,932,502,535,680,362,640,199,861,
305,423,315,260,783,649,028,758,670,690,250,509,150,083,017,125,609,611,120,
880,650,842,614,474,856,772,543,577,376,379,765,795,269,911,780,249,863,195,
665,462,033,374,798,199,767,178,754,808,549,032,842,494,758,122,328,492,073,
065,109,091,515,228,788,169,318,883,094,381,389,897,510,315,661,972,200,205,
397,636,830,229,844,446,819,270,415,712,659,367,200,811,261,248,827,592,767,
609,589,761,046,816,463,540,227,724,256,337,913,510,511,914,042,936,201,151,
009,646,665,756,189,683,136,518,055,980,780,845,858,459,699,949,188,062,848,
409,741,749,607,418,507,605,853,701,799,895,322,583,072,086,210,099,085,544,
733,003,222,468,891,535,211,301,175,921,089,580,045,303,761,052,876,932,793,
262,200,005,794,458,138,820,667,304,771,574,563,772,528,507,320,682,081,213,
870,445,471,327,608,693,590,377,695,944,823,274,362,010,491,368,140,089,269,
210,844,923,614,614,934,649,777,415,992,897,492,560,202,688,742,267,680,126,
300,864,846,639,366,728,112,384,188,693,835,107,368,033,782,861,702,371,128,
512,194,393,950,716,982,879,557,513,467,325,927,267,432,985,361,497,972,127,
013,224,901,206,415,277,888,354,813,354,561,642,285,891,910,361,055,816,008,
213,493,869,201,436,405,031,945,057,872,432,947,669,442,758,002,682,206,597,
814,618,632,008,015,210,103,194,305,570,432,136,576,692,404,007,860,078,662,
656,856,280,371,896,376,732,850,840,912,223,705,305,528,791,759,271,402,799,
267,609,604,158,993,246,399,110,977,520,271,391,214,873,793,444,116,402,001,
454,141,851,716,713,876,635,346,783,015,698,929,965,781,208,254,878,765,257,
236,878,646,550,232,907,752,959,263,421,518,607,258,493,694,108,115,001,248,
203,222,955,257,438,456,856,420,294,681,989,713,849,505,739,498,311,893,188,
294,014,942,327,033,403,176,881,824,669,230,647,591,828,937,163,142,477,037,
090,787,595,496,665,972,908,565,819,178,928,269,738,947,900,564,684,844,772,
758,760,104,223,110,109,462,303,564,377,361,724,055,074,870,669,747,678,964,
451,638,704,419,880,069,696,882,255,139,316,951,783,985,733,782,128,266,857,
775,773,242,183,874,433,667,795,799,256,045,109,871,294,368,497,820,950,038,
499,836,094,459,361,928,169,400,221,625,919,513,874,781,197,794,931,435,489,
330,986,775,907,683,952,669,656,322,235,517,313,872,456,831,047,882,462,160,
442,307,271,249,535,884,687,183,604,354,783,359,416,109,789,288,218,425,546,
950,271,145,139,734,422,194,555,836,914,480,374,395,066,643,263,234,393,808,
777,630,502,397,834,293,338,628,187,035,485,626,044,639,181,112,517,906,188,
235,972,604,069,946,103,390,966,019,813,083,639,455,780,538,482,998,174,673,
059,023,326,758,296,706,216,009,735,419,768,247,499,009,024,329,027,598,025,
014,181,325,449,282,478,333,149,428,793,662,909,493,216,036,433,018,970,197,
154,925,041,869,231,277,385,268,887,096,921,810,206,201,668,032,236,267,968,
894,052,612,001,096,929,499,166,987,685,218,303,684,568,442,417,306,950,562,
221,370,197,843,302,196,781,349,547,583,890,405,473,966,302,706,654,880,001,
385,177,564,301,930,560,563,951,074,975,972,251,370,295,258,884,504,742,445,
556,201,018,026,958,357,282,411,564,322,116,291,086,911,485,532,380,770,161,
596,903,967,641,629,301,102,782,621,225,649,419,803,967,789,573,477,052,990,
893,161,587,974,542,106,830,137,066,949,099,379,190,383,637,121,027,332,876,
884,231,498,152,748,688,689,220,209,015,399,527,222,754,041,927,101,971,894,
753,681,546,316,816,728,644,711,598,299,251,977,250,746,121,918,198,286,850,
476,908,794,561,031,043,922,033,396,943,787,098,106,379,066,650,486,304,802,
222,977,775,975,020,088,048,456,590,313,565,502,893,006,419,645,047,368,914,
377,903,924,560,114,309,635,987,822,710,953,001,200,757,021,842,076,113,541,
983,202,771,155,358,303,551,621,030,213,032,874,523,373,167,649,832,875,417,
368,446,714,108,039,558,706,630,936,770,439,029,771,126,186,241,194,920,036,
823,440,617,918,862,959,888,025,109,018,455,746,086,321,687,462,211,142,138,
025,144,866,880,006,500,091,365,686,265,896,536,597,518,815,498,890,519,206,
164,436,036,555,478,260,327,087,025,646,109,986,185,246,234,791,882,619,674,
775,386,329,817,778,851,852,465,942,621,151,110,496,290,203,902,355,391,797,
857,513,244,547,955,824,757,525,186,127,298,873,024,346,690,883,998,089,174,
611,105,257,885,263,564,987,135,033,234,192,486,781,128,780,936,105,113,705,
816,218,463,477,854,374,227,328,182,008,896,618,133,021,010,044,282,658,091,
532,460,219,526,469,912,592,852,654,669,469,016,985,795,898,201,538,931,914,
208,103,871,409,018,711,923,734,262,063,801,463,653,544,330,829,024,090,808,
742,965,615,526,080,219,744,753,664,320,417,382,951,292,349,271,439,484,592,
260,827,077,979,981,018,357,992,514,640,364,091,928,650,114,066,362,536,117,
483,098,787,928,528,464,546,575,158,406,334,337,481,836,940,700,027,422,974,
137,448,586,678,550,167,050,768,820,705,582,502,831,124,848,088,709,907,865,
450,786,508,321,175,028,115,719,161,681,842,235,237,881,906,057,596,178,924,
729,689,647,173,438,116,292,452,362,331,762,582,472,388,677,477,304,157,065,
192,864,766,189,999,673,485,119,986,911,833,224,705,289,200,525,870,214,895,
180,641,347,616,366,316,193,528,901,741,922,845,866,072,109,579,509,273,640,
380,202,350,235,100,324,850,031,307,455,922,913,922,135,668,395,543,344,652,
100,595,228,148,006,830,540,095,656,839,334,731,029,142,149,637,204,577,721,
360,292,784,481,705,091,343,987,093,840,876,785,226,012,128,959,222,707,971,
120,936,473,410,683,169,585,339,184,086,554,167,790,509,424,447,357,326,163,
057,380,160,125,545,187,672,075,351,456,628,457,087,561,157,425,323,924,572,
556,851,220,551,773,185,737,038,375,848,896,677,898,296,518,638,908,892,855,
509,173,324,825,836,855,823,216,487,789,495,626,259,575,758,177,065,971,028,
263,868,146,523,201,627,290,757,037,903,269,126,949,359,581,644,334,121,092,
607,556,212,338,706,342,912,161,750,567,929,738,907,959,334,208,180,564,915,
792,689,444,892,998,495,916,889,336,883,662,537,836,144,051,596,122,421,699,
785,369,357,434,466,857,154,174,921,400,993,147,127,106,123,531,095,836,475,
884,041,334,005,920,724,716,486,307,078,962,756,891,995,594,663,149,007,468,
729,446,843,361,508,787,300,613,856,574,439,955,830,345,574,006,340,743,631,
446,954,359,930,356,148,885,864,972,249,235,410,258,434,900,399,550,717,609,
395,626,045,983,025,994,734,002,121,566,244,993,086,788,887,154,394,447,292,
209,899,598,336,100,909,869,602,445,051,025,308,358,435,383,385,610,310,916,
715,882,737,107,426,730,864,517,566,525,993,671,092,158,107,335,432,895,476,
261,331,667,489,672,942,664,650,125,500,914,050,981,346,297,821,194,820,499,
297,431,819,194,403,415,903,669,500,985,459,983,047,210,017,917,378,428,307,
273,898,159,285,723,189,945,487,087,197,124,820,432,310,816,829,891,907,796,
211,168,498,160,319,958,822,370,443,204,882,788,046,382,886,944,086,428,647,
255,387,452,340,547,755,347,242,066,825,823,388,947,947,923,109,165,822,084,
342,547,162,360,978,012,672,058,069,036,861,495,733,163,343,274,931,560,691,
249,436,714,699,147,939,141,378,352,969,574,198,098,524,623,161,207,412,326,
989,226,442,817,906,255,575,994,036,233,706,428,869,984,012,231,926,701,421,
301,526,913,112,431,641,226,750,771,579,767,957,061,762,710,356,377,155,287,
935,754,818,600,505,162,059,485,369,727,664,078,795,007,488,244,639,986,569,
551,924,613,117,161,289,117,633,093,377,316,714,588,971,967,835,496,425,539,
305,195,603,643,884,319,396,026,954,790,969,276,279,179,323,400,688,921,539,
758,430,293,615,484,830,168,654,884,222,400,187,777,040,914,354,062,777,247,
738,109,637,590,799,056,527,941,844,828,456,364,935,017,923,297,825,108,407,
376,121,658,411,464,944,757,584,344,486,493,444,704,668,397,928,008,398,745,
057,747,900,969,068,782,886,872,028,023,661,386,850,996,916,298,731,271,134,
925,403,983,925,366,282,218,063,663,842,453,372,236,089,980,604,474,863,441,
216,208,410,064,056,809,771,799,656,437,608,590,669,257,946,144,208,420,842,
556,123,321,191,956,319,316,011,078,192,748,656,109,112,732,591,431,194,848,
633,984,311,231,798,687,797,326,530,660,028,154,923,365,296,312,869,272,592,
446,686,511,497,511,281,302,199,241,772,064,009,541,517,032,555,562,322,137,
160,357,119,272,522,911,188,520,093,081,976,732,114,377,850,644,259,276,969,
411,794,602,453,792,973,127,412,996,570,634,527,974,355,053,332,761,610,277,
533,045,132,703,452,543,158,394,996,526,537,462,407,344,817,282,405,617,862,
996,631,786,521,179,991,048,278,470,024,139,234,848,899,018,527,190,462,747,
858,748,529,755,221,769,133,138,675,397,314,052,059,813,851,996,708,129,591,
702,122,503,602,005,739,637,724,134,649,323,150,865,525,437,704,684,489,733,
419,682,910,517,421,984,573,810,470,598,729,804,947,005,058,702,185,161,083,
349,617,411,704,038,073,927,895,256,906,940,477,983,076,211,671,584,612,863,
894,391,958,914,461,187,689,026,521,481,289,179,688,254,368,665,029,261,857,
738,092,264,852,800,258,585,474,125,833,961,365,432,472,391,420,349,983,438,
548,867,941,131,688,578,581,836,299,940,798,378,886,220,309,084,616,967,971,
506,976,960,254,889,542,799,598,686,680,673,943,505,161,967,880,548,826,836,
232,015,322,252,280,784,331,711,933,211,344,193,833,227,835,310,976,083,363,
995,501,499,493,718,147,163,747,971,568,852,097,027,116,134,955,692,168,882,
265,294,779,875,167,241,558,165,939,849,658,968,219,387,111,794,210,419,215,
790,801,362,494,995,317,609,285,879,153,353,531,473,555,507,184,846,086,559,
980,222,389,657,979,874,272,702,420,620,248,742,708,634,322,308,196,745,119,
963,164,019,445,060,508,898,457,034,959,780,947,719,380,241,257,544,951,182,
645,039,091,132,141,385,579,878,636,055,073,655,689,833,641,681,318,790,249,
274,874,367,757,521,665,987,556,049,630,505,724,738,793,954,103,076,642,096,
508,136,955,575,156,317,234,033,615,796,786,847,940,240,924,736,828,418,351,
481,283,897,164,136,396,298,243,417,021,523,749,590,488,240,356,270,440,560,
490,369,510,531,166,943,844,385,391,436,486,821,264,406,975,058,973,544,602,
574,384,467,052,242,933,284,279,264,838,679,765,697,816,552,526,758,230,296,
829,915,628,768,280,221,994,799,647,856,330,542,754,515,760,686,933,298,821,
424,160,294,198,922,917,742,758,398,996,735,000,920,181,444,150,620,365,659,
623,368,628,324,681,842,952,292,006,447,077,132,264,841,339,477,495,679,122,
749,098,965,151,322,973,202,180,133,827,388,993,053,606,219,308,807,122,917,
034,592,972,144,409,140,953,130,325,156,843,315,958,369,796,801,384,056,304,
090,551,909,988,185,757,690,182,529,833,967,412,682,064,707,215,604,224,708,
049,208,677,555,796,777,285,246,346,059,563,424,312,938,248,218,306,038,416,
505,628,156,168,076,282,863,496,827,157,677,646,130,437,842,018,356,837,039,
826,961,227,252,497,332,523,855,947,039,570,837,110,710,650,057,502,275,057,
088,410,671,267,431,722,626,494,699,445,208,212,659,120,843,901,808,144,447,
761,807,487,243,031,022,220,206,329,860,937,979,747,068,568,953,312,173,810,
447,753,918,564,772,699,078,825,113,887,324,445,195,888,633,935,840,527,781,
334,128,631,534,633,199,184,482,940,420,906,862,325,784,480,588,500,690,906,
734,920,313,201,183,887,091,708,108,078,833,601,372,039,585,631,699,444,347,
108,229,514,747,279,200,642,397,873,718,908,979,938,392,817,980,139,095,790,
129,875,162,717,325,549,585,285,106,749,035,773,352,062,621,737,244,875,474,
169,744,289,531,357,442,485,648,189,213,219,281,787,023,169,524,530,243,878,
762,958,818,181,363,920,129,572,787,586,954,964,948,642,413,335,920,324,616,
098,254,338,611,701,236,490,154,422,859,545,321,847,625,658,097,744,336,688,
233,037,163,816,900,845,838,744,306,333,678,875,142,587,034,909,249,653,927,
258,059,385,839,835,707,029,041,104,431,321,065,378,902,653,528,189,334,574,
477,660,741,885,616,124,131,049,219,844,758,236,072,125,180,959,595,356,987,
057,836,245,349,967,080,784,405,110,920,180,517,729,993,482,326,280,142,229,
194,484,086,209,214,607,486,315,116,134,180,601,537,813,108,861,820,102,160,
910,950,116,019,928,740,473,928,968,703,200,021,838,266,301,975,782,573,093,
439,358,158,945,594,464,985,134,828,329,491,422,498,931,234,798,848,788,401,
415,191,466,144,018,137,689,299,382,919,031,851,928,410,017,095,014,140,348,
613,606,805,886,410,433,427,165,560,459,848,174,987,524,967,458,231,739,586,
011,615,324,064,345,159,049,892,213,230,087,980,644,289,357,500,699,329,796,
328,399,199,278,387,933,299,085,529,454,116,819,168,736,815,947,289,475,212,
540,180,432,219,935,180,757,194,134,241,248,854,852,513,874,430,950,616,240,
623,975,188,466,908,443,799,105,984,297,898,611,534,616,797,737,464,942,626,
018,521,667,706,138,042,294,414,089,779,833,025,087,379,830,554,294,878,822,
274,421,304,122,473,904,203,867,723,738,081,415,148,735,620,511,083,003,611,
283,414,767,900,314,956,295,460,150,438,310,087,298,372,504,008,043,620,830,
166,439,900,250,664,242,425,443,204,100,399,198,447,077,521,646,475,209,536,
836,524,862,386,283,275,656,455,409,423,108,693,566,204,082,483,783,004,296,
522,991,877,259,263,143,997,116,197,112,445,336,350,053,133,316,972,372,214,
183,148,203,648,982,519,781,312,096,010,057,609,213,165,926,610,677,540,126,
822,107,239,975,788,300,411,355,592,453,194,788,800,168,943,127,280,702,550,
820,142,831,634,862,764,972,420,017,888,492,661,937,183,037,075,341,990,638,
217,855,543,879,786,404,700,926,980,378,595,664,563,295,265,703,379,705,124,
843,524,338,859,514,400,386,674,226,417,052,749,177,449,245,735,675,722,588,
972,478,879,390,748,698,781,064,511,234,669,175,580,209,568,814,821,104,002,
231,261,038,347,712,658,881,534,747,174,656,768,863,648,918,741,937,193,969,
772,384,920,373,636,864,993,295,442,657,674,771,491,273,608,898,867,882,647,
977,983,868,154,748,832,117,255,865,857,288,043,700,921,706,500,127,342,515,
212,455,980,379,090,748,076,002,590,709,654,808,223,053,442,188,958,330,532,
222,633,975,307,623,517,707,317,675,953,318,086,482,805,498,057,343,005,080,
759,117,716,895,261,983,816,080,953,028,101,475,127,449,877,859,384,277,115,
457,531,189,794,338,908,032,669,369,199,517,654,811,914,667,430,761,959,271,
309,983,343,132,098,283,866,832,102,197,519,817,814,496,331,364,375,591,882,
563,315,598,689,655,357,823,237,211,727,663,294,867,955,390,273,248,676,108,
204,735,349,175,894,236,743,604,477,421,194,885,819,745,612,387,562,173,548,
437,461,177,397,083,591,627,662,822,384,811,032,033,293,008,697,882,296,989,
496,565,990,080,168,695,652,087,776,103,868,181,000,137,501,069,758,230,347,
081,078,398,082,678,845,889,629,358,051,223,338,432,363,204,786,402,213,357,
807,165,994,502,345,413,017,120,617,320,448,371,219,730,298,793,057,302,061,
335,963,357,653,185,389,050,906,757,458,549,455,802,022,796,987,399,361,062,
236,021,142,513,423,545,300,669,569,040,444,995,327,120,420,393,371,643,890,
787,040,467,079,587,954,858,888,577,810,447,626,622,724,955,397,328,292,970,
970,280,441,186,711,423,742,610,049,912,109,884,583,554,451,831,097,064,974,
976,557,193,155,428,963,873,764,075,160,317,418,860,381,977,190,386,961,150,
420,018,414,468,311,655,617,110,648,490,532,280,000,839,069,515,758,925,000,
839,632,948,985,404,267,011,536,523,748,237,730,989,082,633,372,777,643,915,
467,271,871,488,900,140,900,885,033,261,973,614,733,860,654,824,118,119,276,
422,145,655,026,438,448,467,799,177,420,516,907,290,709,508,977,410,155,922,
738,738,191,566,200,521,278,409,055,098,648,953,577,009,104,840,181,755,998,
966,318,464,726,030,450,278,544,905,570,375,934,022,700,444,539,292,102,931,
266,869,292,076,237,051,600,478,061,721,083,801,241,822,525,182,425,946,752,
711,203,657,239,852,667,573,872,362,822,937,080,740,385,427,842,085,483,764,
753,455,104,057,650,974,408,391,215,906,408,309,446,577,579,530,517,496,102,
634,082,347,400,311,550,814,444,145,484,528,293,321,899,461,490,728,664,658,
544,965,478,405,129,538,209,930,639,928,354,638,839,314,619,298,571,656,738,
712,254,174,398,660,847,965,449,673,208,769,068,649,902,618,324,012,674,098,
616,073,762,663,826,185,207,516,614,951,793,611,419,796,723,382,658,288,266,
775,874,892,433,328,255,211,014,742,584,086,735,838,032,263,698,506,591,737,
237,857,729,376,488,564,957,893,335,085,006,879,880,146,921,099,030,692,115,
695,403,650,182,475,468,434,845,712,675,037,492,570,988,503,577,027,668,697,
479,335,324,263,956,215,291,758,982,732,530,545,281,189,793,091,108,243,376,
166,716,800,105,314,244,762,435,686,023,604,994,683,987,472,500,020,050,454,
929,301,049,385,479,043,623,944,301,831,495,369,381,174,102,325,046,185,988,
940,925,661,797,688,739,164,155,467,064,465,766,885,769,976,252,265,219,274,
363,009,480,760,617,473,610,020,938,836,776,593,965,669,845,624,917,528,931,
838,470,418,679,028,301,846,400,310,774,106,488,108,750,117,602,489,540,968,
615,949,478,624,493,015,194,876,258,759,200,161,961,549,389,561,452,323,335,
501,403,813,372,601,694,476,289,142,441,997,850,347,359,839,556,817,978,024,
275,504,641,141,695,336,332,637,782,609,771,129,870,112,739,651,877,662,616,
395,807,015,294,985,526,928,601,822,048,806,245,013,524,202,155,611,849,702,
325,805,422,961,751,721,840,221,718,994,866,559,730,052,057,807,237,201,354,
261,762,160,302,525,634,157,129,704,343,014,692,777,488,763,223,143,171,011,
487,648,076,830,756,228,873,379,752,948,902,976,726,931,191,315,704,895,604,
834,507,144,942,312,365,070,986,242,989,422,190,357,645,719,936,464,586,654,
491,428,952,020,617,516,444,469,390,350,023,892,555,235,638,556,269,903,037,
400,997,356,226,623,808,705,032,234,648,487,828,545,997,836,991,934,411,248,
726,188,918,007,431,162,237,230,955,890,625,943,663,866,109,776,233,643,090,
921,466,938,970,683,117,045,658,240,937,568,757,414,553,482,979,405,116,263,
422,545,440,961,904,272,606,260,049,961,905,089,722,720,035,423,727,702,870,
633,534,398,083,279,158,162,418,888,806,137,470,803,488,854,657,537,029,355,
977,578,795,214,305,308,939,913,634,694,866,060,430,705,592,840,850,282,948,
175,879,183,980,284,903,480,504,991,237,462,584,927,126,840,150,157,984,900,
889,222,738,323,311,903,822,211,378,599,177,530,997,564,103,639,506,088,261,
387,607,010,826,241,318,274,850,873,226,701,270,776,717,270,051,576,542,915,
071,618,316,411,153,601,751,190,436,919,867,478,093,712,576,704,367,134,019,
408,805,651,969,225,009,216,936,471,500,448,590,278,930,317,467,206,824,435,
927,732,178,829,526,988,282,952,146,013,280,855,719,907,204,468,271,130,821,
898,700,087,327,157,291,931,048,375,653,320,273,815,701,284,845,482,032,285,
450,096,119,537,391,722,868,552,692,637,125,572,380,916,233,996,615,996,221,
506,025,893,136,051,820,303,077,656,906,477,701,539,428,843,642,089,038,996,
068,703,849,306,013,883,851,933,416,887,754,002,185,601,740,211,191,659,426,
300,728,603,432,452,140,177,283,169,845,223,797,752,129,539,650,554,101,176,
437,005,671,728,194,242,754,252,527,181,490,430,351,899,258,486,645,216,167,
826,650,117,060,399,435,360,441,627,742,713,313,904,319,054,372,909,672,185,
416,964,678,269,430,083,116,403,632,023,241,699,856,011,631,464,825,677,785,
480,718,353,616,053,245,660,038,470,915,318,413,766,140,851,454,539,766,325,
755,136,406,862,717,682,481,762,890,757,445,630,928,759,573,261,986,864,928,
518,962,874,695,721,964,173,260,960,772,231,820,717,696,284,938,210,135,926,
097,213,492,768,287,845,915,572,216,190,680,869,694,332,680,338,890,887,748,
938,530,219,719,006,741,152,661,876,188,661,207,257,596,684,275,890,567,229,
430,939,810,267,292,586,766,160,991,300,936,912,689,941,572,001,230,921,710,
432,992,065,245,635,507,448,036,672,922,610,553,172,795,493,031,610,532,312,
903,039,008,499,609,620,148,887,973,362,347,851,660,265,506,439,611,423,367,
546,545,298,440,368,775,705,497,925,901,889,522,004,620,325,407,096,831,478,
669,363,488,401,090,414,453,040,074,795,694,380,540,690,492,059,724,106,097,
745,342,833,114,282,881,180,132,491,214,724,810,083,998,250,130,693,674,830,
113,674,471,450,747,642,653,449,983,256,386,449,789,425,552,526,747,737,725,
565,595,878,026,519,157,282,701,515,995,664,699,123,022,728,769,023,387,684,
815,430,127,631,552,535,301,898,436,064,555,863,724,340,661,211,538,645,148,
807,777,130,571,373,798,617,851,412,756,909,464,773,641,898,477,966,764,475,
116,460,014,707,420,006,720,606,456,231,895,870,694,045,124,322,044,884,766,
788,647,065,555,794,248,388,359,224,390,760,982,814,947,338,887,233,262,038,
863,213,593,928,947,285,170,084,506,138,393,854,258,685,909,729,508,808,987,
848,482,324,353,902,847,539,864,145,228,291,020,034,506,661,134,261,764,236,
268,271,018,006,456,048,964,269,826,080,936,536,696,366,397,441,205,673,265,
272,508,550,609,369,454,864,353,577,916,952,960,728,284,208,505,410,952,945,
836,358,160,378,272,437,885,801,531,151,966,878,634,155,012,336,703,820,304,
663,906,209,405,976,110,265,325,285,784,536,784,638,558,869,238,678,384,119,
911,535,793,815,389,606,702,152,921,105,081,191,197,693,141,723,329,640,281,
557,623,211,238,564,782,206,675,062,703,688,597,615,240,481,857,598,304,382,
481,112,636,925,499,441,247,865,569,453,701,768,553,000,040,052,773,252,331,
536,514,101,630,254,309,921,864,740,865,192,957,436,167,075,933,845,327,570,
546,281,753,212,958,203,116,444,234,517,198,947,072,353,526,138,399,655,461,
414,303,340,324,955,250,428,766,232,256,523,304,057,649,319,353,080,606,350,
272,725,605,411,542,710,879,009,288,202,698,623,099,782,411,557,333,219,083,
235,422,127,656,027,284,307,355,230,984,754,782,214,670,201,074,375,498,558,
434,450,686,696,534,290,376,729,751,603,358,839,902,041,779,413,997,854,954,
632,199,017,060,633,770,919,260,522,463,366,151,355,718,982,618,403,840,490,
294,347,020,751,608,135,437,958,989,912,102,446,447,337,819,837,286,083,892,
037,499,610,606,583,545,837,470,321,865,962,882,304,428,863,013,462,529,681,
301,886,671,764,183,349,911,875,573,924,800,279,474,694,311,604,906,098,771,
122,775,027,932,861,842,650,365,450,581,499,953,091,708,988,317,687,225,561,
239,811,740,024,147,059,446,525,133,455,589,266,391,744,079,329,284,049,243,
873,982,056,623,439,975,386,481,345,141,733,061,545,635,448,489,578,717,275,
113,330,414,274,062,652,329,097,424,493,687,728,617,405,230,193,802,192,549,
096,983,392,920,807,233,849,194,554,402,593,419,555,841,791,793,299,343,712,
995,883,810,897,723,203,939,096,533,791,295,220,970,955,604,346,319,292,159,
937,003,777,609,523,576,125,855,638,331,390,699,417,809,567,391,731,624,918,
160,515,907,932,739,003,871,657,253,371,052,276,812,348,165,688,172,938,957,
709,337,916,842,888,364,068,016,532,668,165,651,124,534,163,833,714,038,491,
896,323,837,376,525,370,699,835,783,316,402,635,250,646,321,638,578,800,512,
130,225,974,976,576,580,881,010,365,792,068,314,732,071,728,207,793,588,364,
498,690,536,552,223,864,849,662,835,312,193,763,116,483,540,038,472,336,868,
749,706,833,494,649,615,755,263,448,248,936,365,002,113,021,343,205,112,742,
076,807,494,836,853,273,013,212,691,080,834,653,581,728,724,698,498,790,464,
252,656,522,954,117,588,924,925,898,846,934,651,296,972,939,868,630,214,318,
097,752,411,538,802,941,131,354,774,718,623,792,871,889,894,631,840,943,529,
776,476,370,884,406,052,106,126,626,893,599,977,981,848,837,295,482,028,087,
993,805,786,253,865,229,599,870,301,408,658,334,008,613,838,651,889,264,286,
729,562,513,479,750,357,185,242,866,734,163,787,759,759,694,145,758,302,176,
113,138,303,385,382,459,024,105,786,513,175,375,880,853,371,919,433,444,314,
943,161,134,796,317,100,642,555,169,457,042,043,837,572,417,928,083,792,716,
875,513,245,639,044,428,409,738,829,044,226,543,439,746,334,973,189,911,342,
731,422,849,536,190,129,527,534,449,483,994,303,273,146,430,636,525,768,678,
823,518,372,296,656,137,217,732,333,058,989,677,067,588,253,044,059,861,344,
604,287,008,757,347,715,489,720,351,604,230,633,729,061,652,004,612,859,444,
725,711,276,848,482,277,432,760,834,588,374,925,352,880,309,059,463,123,566,
865,014,922,579,683,391,611,954,656,101,637,808,305,971,832,988,674,788,560,
099,359,328,825,408,843,202,056,361,929,900,497,414,389,525,852,399,680,225,
912,479,266,130,070,906,679,597,728,316,670,081,048,239,852,859,259,059,056,
130,768,688,314,871,532,136,501,111,513,835,632,874,901,699,052,837,209,132,
229,165,380,119,047,744,688,664,361,758,303,025,020,031,734,153,806,096,224,
978,840,223,217,794,396,113,656,522,531,361,888,883,096,325,260,558,191,240,
645,322,638,400,123,391,874,822,824,438,019,168,072,660,182,566,623,481,480,
118,388,998,149,046,553,102,193,195,988,275,142,715,244,685,887,471,384,985,
540,031,933,677,584,601,818,091,669,030,589,665,353,614,080,274,124,294,664,
584,890,248,259,250,091,447,776,711,536,555,373,016,275,624,703,723,849,666,
419,630,796,054,319,326,794,964,422,113,163,010,599,296,721,567,710,586,632,
198,995,715,161,236,226,129,190,726,069,893,182,721,984,593,336,625,949,785,
569,781,026,078,640,781,137,355,522,897,658,627,419,032,855,185,121,057,248,
611,914,480,958,135,887,481,595,804,568,633,192,332,717,575,542,731,364,934,
087,817,294,619,387,461,178,268,748,745,067,757,716,846,248,294,412,639,299,
038,061,601,251,346,872,244,563,680,114,137,294,694,368,646,504,593,152,755,
111,191,056,501,134,358,700,100,137,364,245,274,321,097,793,865,689,930,996,
314,718,578,533,541,316,374,334,712,295,363,593,263,219,119,030,759,486,813,
504,568,807,235,040,816,109,251,199,493,935,214,648,352,064,960,135,930,710,
434,002,586,242,335,912,991,755,910,187,339,049,595,692,208,041,460,986,697,
484,515,127,620,714,119,604,877,855,152,690,716,765,945,400,986,244,679,116,
347,531,208,337,995,189,040,489,319,126,101,942,577,082,592,912,327,962,939,
545,392,162,676,705,739,585,414,769,197,940,662,174,665,496,609,152,920,964,
133,790,311,808,529,011,048,324,950,431,182,162,577,691,516,131,869,541,761,
767,837,267,177,288,076,045,584,038,588,889,728,508,271,036,290,548,926,479,
408,178,766,282,282,915,451,013,527,957,791,272,971,709,635,729,983,453,142,
122,304,931,124,076,200,406,144,578,727,252,134,978,232,019,896,499,725,541,
182,859,594,882,692,217,910,535,120,520,542,597,684,755,410,875,597,924,110,
462,589,347,325,687,432,124,660,960,664,895,464,112,491,195,645,553,341,531,
251,835,341,459,875,777,029,521,322,679,411,433,240,735,583,978,724,250,902,
210,304,994,333,875,124,948,078,571,821,435,022,770,528,947,093,322,271,824,
528,571,432,706,725,064,866,660,583,279,567,505,786,860,384,879,195,212,710,
347,307,757,945,897,415,256,524,072,905,628,618,834,111,714,631,652,235,841,
335,906,637,855,567,199,751,331,461,591,307,413,879,200,311,682,656,875,583,
347,029,773,729,032,737,089,924,718,528,444,686,912,004,263,670,448,172,252,
054,866,713,394,487,220,266,725,292,512,017,679,018,221,386,159,167,189,393,
269,461,165,657,411,638,015,144,373,561,186,336,951,708,215,460,095,683,848,
041,529,890,465,320,968,512,373,546,216,706,182,580,756,979,361,490,233,759,
299,041,989,627,705,414,187,796,092,364,656,369,600,378,078,562,441,634,334,
276,832,085,447,788,639,790,344,453,949,252,607,636,439,563,420,709,032,741,
231,951,908,839,980,133,038,562,956,328,467,255,853,793,188,735,180,651,389,
593,516,482,571,680,139,429,539,739,480,149,084,844,273,232,876,411,896,383,
705,365,021,135,197,846,933,670,177,190,855,267,837,175,148,200,755,431,888,
062,734,071,152,557,724,284,973,581,374,684,902,988,546,506,374,911,230,463,
109,811,723,735,019,270,061,062,729,213,438,709,320,755,639,514,607,841,970,
944,341,233,374,592,704,815,890,396,158,667,926,274,528,139,229,019,028,928,
111,601,454,196,042,979,518,363,940,623,595,487,978,789,780,159,062,914,442,
960,623,891,747,128,715,402,319,362,826,076,168,461,594,358,619,058,296,586,
988,320,461,390,332,620,001,538,269,482,244,302,767,144,515,183,156,345,685,
508,655,023,696,021,868,015,422,473,808,461,552,702,106,265,900,886,964,333,
661,972,280,038,085,048,474,543,675,880,683,854,763,523,791,327,011,080,286,
291,956,422,257,382,775,945,591,756,971,887,600,236,854,248,674,095,531,374,
087,193,445,718,419,585,887,452,639,790,995,246,150,753,318,958,264,785,753,
236,463,586,476,238,033,011,872,236,490,180,175,841,880,407,605,675,615,227,
099,583,937,394,650,664,865,570,956,471,992,208,805,249,443,444,775,803,894,
416,700,452,290,595,170,125,966,988,777,767,328,391,096,011,851,050,653,289,
075,127,244,293,684,283,357,808,742,974,588,727,064,078,489,985,875,366,274,
202,611,817,158,950,946,793,487,346,477,102,985,645,864,978,420,802,086,479,
663,766,709,823,620,998,233,858,280,280,745,623,527,840,889,430,394,510,659,
210,522,193,037,683,397,020,076,629,106,497,136,865,467,193,591,366,541,402,
675,093,652,980,389,875,309,500,635,871,557,672,842,739,575,137,068,810,774,
488,841,151,204,088,915,355,544,290,649,050,372,284,727,295,086,269,213,490,
762,900,656,938,410,136,542,656,834,461,469,445,503,885,085,500,795,247,978,
394,108,306,603,459,914,515,004,454,495,170,714,149,819,532,255,824,546,130,
949,666,548,887,665,263,447,193,203,594,073,376,922,418,005,244,156,705,191,
421,033,778,471,813,972,001,047,401,932,071,195,120,117,901,605,075,459,356,
846,491,826,450,789,713,225,796,914,376,846,626,756,860,469,073,386,037,900,
366,756,580,888,876,385,243,672,601,228,191,130,309,285,178,745,032,361,137,
433,167,851,417,132,144,169,440,079,980,394,725,062,745,839,680,109,030,703,
518,709,907,711,295,393,003,677,094,363,948,047,044,847,121,709,257,320,843,
823,179,342,180,387,162,428,924,128,053,538,295,911,312,385,061,734,712,235,
144,206,917,485,590,463,052,332,789,299,910,637,938,968,495,516,051,626,571,
775,486,444,248,462,574,529,376,391,929,662,424,876,488,628,908,394,306,528,
284,391,112,262,798,360,276,312,235,621,101,217,277,349,816,465,128,724,539,
710,653,874,734,426,318,177,151,291,864,484,837,496,941,483,466,867,431,012,
735,979,942,988,524,024,189,323,664,928,595,941,671,416,251,791,595,997,461,
843,549,073,250,186,292,805,811,681,812,673,019,070,678,074,200,393,720,735,
153,538,602,770,960,956,071,481,547,783,448,773,349,180,172,768,414,749,500,
487,030,378,724,230,013,114,806,640,523,694,446,733,573,623,855,062,934,420,
271,827,771,417,852,230,753,938,862,092,641,278,790,349,794,074,642,774,384,
565,657,795,720,394,144,922,805,606,188,335,495,481,043,983,585,032,719,878,
302,233,070,848,195,316,333,389,073,015,798,157,528,824,431,321,841,762,786,
226,184,414,632,125,570,547,369,457,219,902,583,177,299,234,077,669,658,288,
836,377,324,816,166,588,695,627,243,346,663,639,419,079,014,492,956,130,048,
445,710,078,496,546,558,091,249,677,353,469,768,131,384,138,021,300,853,069,
358,252,121,149,281,855,775,321,067,354,189,378,712,480,753,895,283,988,068,
471,954,269,460,753,998,798,066,408,238,964,424,761,986,794,551,949,232,525,
207,819,949,254,636,661,549,378,009,824,825,275,878,477,896,427,259,518,311,
368,199,876,228,335,328,102,428,857,821,680,709,011,304,977,320,979,522,898,
982,611,382,659,524,083,901,438,146,501,505,410,173,293,777,224,997,874,821,
685,057,998,043,059,242,141,755,017,560,746,863,017,733,151,856,006,042,151,
918,205,123,645,275,088,951,647,122,618,134,863,426,542,160,353,758,719,997,
765,890,494,402,009,731,735,326,354,225,134,258,345,695,319,712,352,675,674,
480,045,153,070,072,138,875,507,650,296,690,340,714,426,803,319,116,043,356,
527,298,395,888,924,842,420,362,907,399,240,125,961,017,654,684,747,302,307,
407,917,505,563,652,345,681,129,198,232,467,241,779,791,239,842,281,891,706,
745,910,298,411,435,833,385,554,510,998,641,682,025,233,380,187,220,239,377,
967,113,907,463,010,069,082,260,144,457,225,072,362,768,198,115,436,556,070,
235,472,277,404,248,556,835,033,904,372,445,757,123,992,030,897,948,261,636,
841,485,528,572,442,527,049,170,769,594,145,378,133,585,342,869,328,575,871,
332,922,260,925,733,326,692,866,674,085,754,634,397,009,662,841,876,266,265,
825,640,266,419,573,132,686,745,705,047,996,036,854,857,342,273,615,245,006,
412,572,880,853,807,319,981,776,966,506,214,850,690,987,255,670,132,599,842,
506,978,773,617,923,486,293,101,500,950,612,931,553,662,591,316,179,816,350,
239,172,163,745,214,356,705,349,690,552,269,560,188,671,895,251,451,325,491,
492,063,053,840,789,050,166,958,815,372,774,657,417,166,596,347,662,454,216,
171,918,021,510,271,991,983,432,713,331,497,411,605,027,196,275,097,049,811,
411,421,514,838,091,822,964,087,349,724,313,853,211,726,039,310,387,007,853,
138,991,540,358,617,920,309,479,741,589,728,241,350,835,446,867,844,737,523,
531,131,220,333,250,850,317,398,495,348,102,660,070,866,402,846,681,443,316,
787,792,449,337,299,591,395,070,562,874,300,662,404,816,553,745,555,189,014,
422,702,545,987,107,592,111,494,443,798,048,208,368,073,145,820,220,650,324,
382,463,901,379,623,804,285,171,775,946,934,989,339,325,029,693,015,489,835,
103,731,011,119,438,122,603,433,025,654,695,519,518,092,663,916,123,712,281,
008,652,835,817,322,565,003,959,628,492,357,960,398,452,316,861,282,970,242,
976,381,942,277,149,946,862,256,259,178,046,172,842,824,259,376,564,478,828,
742,560,451,213,839,234,532,479,927,390,378,717,125,438,703,308,449,830,640,
142,053,172,440,197,071,659,201,296,015,135,166,218,710,735,774,781,723,990,
315,092,138,095,037,149,666,573,156,763,466,212,957,853,316,313,383,769,891,
735,451,420,829,415,757,484,360,710,134,540,286,465,921,196,734,029,841,163,
420,778,840,658,339,207,699,369,635,393,055,373,375,667,387,563,688,906,793,
871,271,096,515,177,355,553,676,861,296,971,577,126,544,349,556,132,002,887,
136,787,102,580,711,340,069,411,466,223,134,967,039,133,917,804,638,381,802,
265,597,810,532,207,147,018,786,862,842,389,839,816,046,513,688,026,059,970,
374,519,234,808,396,893,162,769,176,368,198,973,439,490,564,861,608,364,058,
048,540,955,636,856,877,138,656,731,961,833,529,555,315,192,378,777,119,382,
023,955,887,077,407,829,226,980,879,470,546,372,445,242,404,201,013,704,034,
604,278,357,761,850,153,734,732,581,413,006,878,450,649,471,772,816,948,882,
523,672,421,715,746,312,527,142,287,457,495,270,685,974,414,878,610,295,595,
660,570,580,612,138,977,261,922,179,518,749,200,955,507,793,930,087,354,438,
052,265,164,296,719,020,626,282,671,065,783,775,348,370,382,162,130,050,764,
246,621,797,376,968,857,601,334,819,850,044,305,582,746,890,236,219,380,379,
817,525,359,987,722,829,572,981,023,559,504,203,166,597,344,968,514,608,575,
685,394,658,698,802,144,797,611,989,508,985,754,610,241,290,513,231,253,557,
323,381,866,766,104,902,781,441,969,350,255,082,190,275,299,330,729,304,553,
558,555,595,964,199,065,661,633,957,248,639,733,190,966,239,369,660,077,780,
543,648,588,441,465,051,883,729,900,918,631,601,415,381,155,290,313,423,031,
571,685,993,156,569,952,694,445,821,159,238,094,388,354,717,595,582,004,102,
952,006,262,409,376,382,386,167,638,527,219,989,288,219,714,010,817,696,550,
817,093,961,126,831,106,560,367,535,532,534,768,302,213,563,489,970,807,973,
323,496,597,977,313,514,337,843,609,012,707,659,333,204,237,394,449,654,696,
226,203,522,846,717,244,169,617,140,494,102,907,025,200,144,134,008,102,805,
810,181,310,183,193,575,818,348,412,014,745,160,651,851,330,057,490,169,832,
756,195,303,349,750,101,216,490,963,239,831,838,417,056,652,610,382,937,425,
380,441,472,593,417,456,172,727,579,545,839,197,028,684,568,748,719,486,813,
604,847,528,828,432,807,336,385,290,567,817,966,389,192,222,286,746,263,102,
080,172,268,089,516,802,151,702,013,190,576,090,474,870,713,583,198,373,279,
802,354,844,156,526,937,657,124,810,496,287,069,475,529,648,795,516,211,180,
602,021,308,239,710,991,396,189,538,070,560,180,505,174,124,248,381,959,753,
875,803,241,622,885,190,072,554,947,245,155,729,045,827,689,198,691,729,024,
666,089,926,043,969,199,945,930,136,751,686,202,780,511,621,240,457,380,711,
357,235,647,712,925,009,824,036,131,692,910,597,958,826,782,999,004,874,484,
864,162,971,369,634,743,786,843,404,620,403,855,250,967,751,394,993,357,799,
930,401,304,184,340,259,204,922,965,975,151,216,243,081,189,195,036,618,359,
435,225,494,101,037,616,522,016,002,548,733,375,260,085,953,579,086,146,030,
244,402,588,856,843,448,895,071,495,583,741,244,573,726,806,111,163,524,487,
421,068,793,249,738,564,394,458,659,981,729,358,929,668,426,641,329,197,231,
277,518,867,114,715,622,952,440,755,061,257,801,002,170,383,924,285,074,178,
275,353,397,528,123,223,496,739,775,503,666,005,863,835,145,804,492,901,983,
044,100,122,237,539,465,840,259,011,787,938,263,703,051,674,854,045,576,311,
734,518,219,213,420,169,790,272,629,634,895,266,073,088,173,791,636,958,279,
164,545,541,116,411,912,577,539,779,424,823,350,033,682,833,502,041,296,675,
157,636,616,401,512,295,651,777,123,825,004,869,210,368,624,842,569,169,952,
227,673,845,617,441,178,759,819,527,231,385,102,631,568,499,176,929,167,870,
117,454,391,233,410,406,595,071,816,488,765,625,310,126,933,697,115,128,695,
109,331,975,062,798,423,713,822,254,071,151,875,571,041,760,465,196,579,749,
979,771,671,263,231,751,476,615,710,469,658,489,252,055,809,743,143,358,618,
872,398,047,034,846,505,087,062,112,580,287,377,040,007,057,524,333,636,755,
444,945,053,463,533,946,449,740,146,072,204,165,953,796,291,211,061,221,235,
932,982,423,103,494,874,784,624,207,876,534,907,881,777,988,650,244,120,145,
576,222,285,593,692,888,904,127,219,413,112,644,981,874,450,023,606,719,270,
391,475,062,923,374,096,270,895,862,894,563,692,672,049,055,924,360,886,417,
201,188,637,200,343,046,263,386,920,712,876,826,248,621,262,543,155,649,318,
375,876,993,550,213,976,414,986,163,656,976,808,766,995,657,736,066,754,471,
334,818,215,662,424,441,022,534,384,166,301,646,015,758,179,169,416,638,223,
285,679,364,322,772,354,162,733,096,228,698,406,782,658,375,055,916,370,656,
926,832,923,151,911,197,231,296,621,704,999,980,332,562,997,396,593,055,630,
861,015,359,219,267,290,859,945,106,368,064,204,571,397,521,427,996,466,596,
180,478,366,996,114,595,069,472,034,075,553,053,265,257,015,556,017,984,096,
222,321,122,302,055,465,658,759,926,965,316,066,265,788,611,684,434,615,887,
062,507,991,540,960,011,626,036,866,235,898,547,272,779,624,151,995,007,321,
035,204,320,754,471,920,403,644,915,304,033,253,388,592,757,900,530,252,406,
865,228,895,682,133,328,394,272,163,358,199,632,374,939,857,977,458,047,171,
921,660,775,205,087,084,544,368,055,336,378,167,348,041,378,433,725,864,729,
150,839,814,118,358,111,605,395,098,253,853,986,165,375,148,144,583,961,695,
684,282,089,096,413,282,201,853,965,865,878,271,788,804,343,495,275,007,085,
751,689,500,813,149,421,167,921,816,918,523,054,828,751,371,446,786,725,150,
899,860,418,762,352,270,448,980,414,808,277,559,167,495,921,963,915,262,950,
086,155,517,553,611,754,991,788,601,565,287,207,080,392,635,932,123,827,054,
714,103,812,005,565,300,444,785,834,267,007,218,108,501,167,990,597,813,818,
865,479,905,057,658,446,369,896,989,847,834,025,794,737,418,743,992,538,258,
415,247,893,516,802,730,510,293,400,032,743,214,003,893,928,127,604,484,980,
887,128,164,407,112,872,284,425,073,852,330,661,592,208,866,238,214,969,980,
369,628,293,436,491,718,926,377,440,464,216,072,053,008,589,880,830,691,490,
950,893,260,843,890,500,979,578,562,194,177,154,371,888,955,646,712,034,578,
270,973,204,298,618,469,068,564,867,045,213,424,414,459,744,448,129,109,740,
290,141,803,350,054,548,852,909,935,131,480,653,660,662,991,790,622,516,780,
603,539,766,943,837,364,230,349,804,769,326,931,675,029,087,878,598,104,138,
145,989,826,328,630,815,959,029,388,082,993,395,570,533,592,816,071,657,544,
033,969,017,867,830,189,069,890,742,647,562,342,499,329,551,555,979,447,514,
953,021,045,598,082,920,226,248,249,268,654,683,429,948,330,325,401,588,317,
497,429,615,602,223,884,864,314,013,739,033,448,171,811,687,313,972,553,190,
447,566,528,184,569,064,535,879,907,122,726,730,725,667,925,562,103,510,644,
749,369,620,702,057,830,485,565,843,693,826,294,974,031,669,829,768,576,590,
635,229,333,370,837,675,909,697,025,225,252,958,774,889,512,783,994,558,504,
120,742,991,971,269,388,805,566,044,205,517,431,086,237,168,959,401,974,484,
703,468,713,245,198,060,945,240,926,260,626,100,661,466,598,570,626,588,260,
310,141,844,125,308,030,619,306,003,981,235,419,627,450,925,401,580,198,840,
620,440,574,641,633,268,443,154,422,216,418,459,221,539,114,798,333,090,147,
515,870,099,919,526,334,491,658,251,010,951,367,483,557,222,765,547,612,151,
460,784,496,211,845,940,418,379,933,700,689,502,748,867,721,754,861,756,273,
538,713,730,402,284,711,145,547,893,086,310,374,662,845,971,170,624,286,882,
267,133,055,799,577,495,610,225,528,979,325,250,592,144,931,762,419,869,447,
341,034,029,156,246,721,972,042,045,896,642,041,469,768,905,722,418,643,798,
797,027,561,407,616,380,323,467,317,292,815,819,336,256,434,690,008,500,566,
093,968,394,517,399,802,030,292,815,656,791,763,915,472,381,551,209,460,058,
811,787,242,407,801,571,631,567,994,136,592,418,204,432,867,837,616,865,523,
133,299,330,367,879,207,337,459,727,848,159,628,082,167,703,856,723,284,473,
544,515,947,228,941,127,512,885,120,921,771,568,353,934,378,690,375,131,155,
379,547,233,754,127,941,000,895,664,951,169,374,684,858,321,813,531,282,674,
186,671,019,994,156,704,190,175,627,610,787,787,101,127,126,501,263,242,015,
869,054,956,447,504,827,461,652,349,326,302,443,522,831,773,570,770,956,557,
610,237,591,655,033,095,211,101,875,822,572,910,778,470,027,388,665,138,038,
994,259,941,251,853,944,986,912,619,176,576,926,896,013,727,355,903,516,222,
294,587,737,315,901,012,036,725,397,067,252,758,350,024,031,239,109,725,332,
357,266,158,560,453,569,944,075,582,712,618,380,832,746,043,669,233,757,261,
950,440,169,257,328,910,657,523,255,374,312,779,559,308,100,664,677,968,798,
105,059,139,582,336,016,696,983,049,226,394,951,912,356,753,860,664,718,356,
356,352,496,807,509,692,300,754,551,301,681,076,974,881,662,105,675,030,172,
975,902,067,525,169,786,792,620,423,037,497,623,979,197,080,335,150,259,705,
720,216,426,668,753,959,327,777,575,323,327,664,646,059,791,567,611,070,037,
960,589,141,750,104,699,166,491,471,797,349,806,901,649,455,177,195,283,999,
368,482,716,976,600,282,277,074,382,125,614,335,005,721,123,084,446,151,665,
979,846,441,350,369,346,103,403,324,295,971,512,716,114,451,107,814,990,729,
211,611,545,252,459,328,510,061,016,121,678,111,337,970,432,902,839,645,111,
379,474,660,888,681,118,584,063,391,822,226,084,970,979,044,167,185,695,875,
075,484,943,907,376,010,821,186,378,782,373,555,128,949,477,378,848,104,620,
864,080,018,929,116,258,515,860,737,387,831,705,710,949,768,716,684,338,145,
519,672,134,882,705,588,533,689,864,669,533,453,921,113,598,901,702,200,022,
628,270,106,055,841,340,471,314,977,767,654,720,718,510,555,765,023,546,081,
817,928,618,644,775,735,075,583,487,960,587,512,080,766,486,559,837,742,978,
540,223,288,432,131,872,462,951,959,195,566,923,428,635,655,464,655,896,388,
476,836,532,512,565,453,012,930,888,893,149,599,257,808,528,992,129,451,834,
041,030,108,939,302,503,869,755,828,565,359,659,568,309,839,500,780,256,902,
579,455,942,706,783,478,968,239,200,928,347,963,596,547,556,856,134,938,165,
987,759,356,106,432,185,513,299,762,204,178,766,584,464,524,636,626,407,590,
483,186,372,654,620,222,095,107,576,758,672,979,247,659,490,407,507,746,903,
145,066,593,432,053,926,594,240,386,445,227,142,287,503,046,896,051,383,620,
299,488,549,905,103,317,573,964,823,263,716,801,989,126,838,603,997,156,714,
072,490,429,561,079,381,300,972,260,568,033,931,114,217,881,343,294,168,551,
430,246,853,191,040,633,801,558,633,691,161,579,817,799,204,784,813,783,687,
215,570,663,472,144,631,891,142,314,082,181,077,013,358,384,128,860,146,017,
720,550,782,512,156,561,326,114,891,356,746,676,996,719,683,393,159,845,313,
385,087,032,748,782,071,936,252,842,558,461,882,158,694,203,412,294,979,448,
271,111,904,354,687,673,433,686,111,094,197,336,439,447,398,939,708,552,615,
780,367,133,281,027,919,958,053,016,806,097,718,053,477,111,578,503,372,728,
830,371,543,155,914,265,895,240,248,995,261,694,187,926,361,806,450,927,775,
279,803,454,674,865,221,562,615,183,722,117,050,589,135,733,149,004,570,011,
283,862,107,066,078,231,123,486,888,938,048,576,778,113,316,192,388,843,018,
826,450,512,544,480,753,524,075,318,429,542,860,155,563,415,834,047,316,174,
378,134,022,268,637,978,189,808,738,923,531,482,532,414,128,363,519,926,122,
905,555,856,968,114,423,810,474,655,148,821,015,911,946,657,557,579,203,604,
700,459,633,826,614,862,487,234,382,418,025,924,507,336,981,021,599,284,966,
634,202,692,600,674,885,629,015,548,887,245,728,693,407,096,846,358,390,189,
049,554,871,112,305,519,454,979,122,174,809,153,021,136,781,896,088,506,489,
068,715,016,571,557,850,860,975,788,364,539,228,177,249,791,898,769,182,677,
867,548,994,617,849,420,497,688,718,188,212,242,272,183,817,657,950,708,421,
469,697,472,890,991,654,312,592,912,497,089,819,406,524,262,830,341,749,480,
007,550,095,998,760,099,803,748,596,843,803,436,249,760,003,532,561,496,994,
746,416,563,779,115,861,589,749,287,311,964,155,849,499,814,638,334,682,976,
108,719,840,639,357,417,555,144,593,580,299,868,996,704,131,767,488,053,871,
682,031,891,956,332,890,961,804,575,971,873,306,358,067,979,802,046,157,522,
973,423,697,480,954,765,450,774,876,330,232,736,310,734,913,164,876,267,944,
640,845,932,826,027,241,599,132,464,088,307,537,856,126,590,251,953,219,089,
323,206,209,587,812,537,128,552,646,014,492,806,130,621,259,789,827,245,838,
739,370,787,035,085,938,796,851,604,541,033,274,928,390,659,844,805,054,144,
463,992,119,810,497,603,628,292,274,748,376,037,883,694,290,252,514,936,240,
675,485,151,784,327,874,549,238,036,758,452,486,035,184,219,113,716,990,998,
634,316,112,739,295,330,437,348,622,467,357,456,010,462,615,039,724,208,954,
927,262,588,971,886,554,754,511,848,726,827,182,201,694,127,061,550,706,048,
907,495,957,583,842,876,650,887,648,323,776,684,860,769,085,717,166,140,596,
706,972,750,756,431,771,576,249,254,087,845,490,263,515,319,300,346,782,157,
135,950,181,677,516,039,080,734,931,599,391,324,266,969,080,374,877,314,757,
287,970,446,911,377,637,882,384,727,511,074,615,320,098,330,246,575,087,149,
739,585,841,448,618,134,784,475,335,619,107,896,856,299,325,113,179,472,570,
533,419,229,607,915,641,325,630,511,399,840,997,562,310,500,578,866,878,827,
613,314,441,132,374,424,964,338,390,758,669,990,350,606,364,833,960,641,773,
196,427,260,967,803,498,001,611,665,367,305,922,407,074,503,559,940,321,467,
972,595,831,601,415,511,433,210,663,244,053,018,480,249,896,413,039,396,614,
072,725,428,604,925,942,204,747,047,431,956,142,994,074,117,531,550,270,535,
489,286,159,464,394,856,859,425,454,699,578,229,058,810,365,767,865,893,971,
530,926,263,279,448,112,664,599,403,802,511,551,312,577,104,492,579,366,460,
295,120,749,602,082,038,656,995,963,858,677,632,411,583,191,034,668,179,094,
254,132,366,805,129,453,678,447,356,285,254,495,718,479,317,937,785,078,498,
755,636,400,924,218,589,232,140,121,128,381,331,972,814,223,711,932,694,330,
137,725,969,964,865,443,365,059,695,085,982,419,208,749,090,644,219,125,364,
278,894,637,804,815,597,435,918,068,989,858,137,886,783,896,136,568,539,934,
533,971,751,790,289,419,782,955,221,042,918,339,692,657,362,629,975,024,012,
141,252,016,620,512,194,890,982,211,083,440,108,247,648,530,283,408,491,423,
612,230,178,430,705,358,545,460,876,789,370,577,910,094,168,320,324,148,446,
411,364,346,984,261,608,977,548,602,786,748,294,786,145,876,585,318,061,573,
820,395,012,465,364,552,479,204,872,297,014,658,620,600,873,550,825,862,151,
615,031,880,916,628,241,114,239,184,681,795,524,281,937,303,757,081,815,918,
186,129,033,302,756,123,515,867,946,486,657,839,008,638,064,522,585,324,026,
697,501,680,778,324,059,993,073,538,127,774,514,288,269,488,970,838,889,681,
876,066,641,353,186,973,693,228,721,340,894,748,800,445,741,192,680,222,888,
344,227,608,129,303,414,455,728,808,118,554,688,329,254,113,087,478,117,934,
236,895,618,274,742,038,708,882,518,193,982,523,315,874,233,242,845,045,481,
210,440,460,658,784,445,619,929,959,718,434,750,047,635,082,761,574,499,830,
650,627,199,187,917,219,405,665,446,661,492,339,366,824,976,042,603,172,484,
226,825,440,264,427,273,757,247,427,491,502,277,415,981,942,749,947,267,272,
985,600,478,681,549,068,681,884,545,850,132,390,181,349,757,929,189,862,541,
672,042,687,383,277,657,515,618,470,126,244,348,424,654,409,717,895,563,743,
091,724,876,549,548,680,957,169,421,566,089,909,711,870,252,412,651,132,881,
630,969,281,791,323,615,574,838,702,870,279,599,489,865,401,950,145,738,241,
406,638,262,890,188,761,635,776,664,489,746,358,877,460,458,667,152,763,142,
364,379,606,888,149,755,266,584,944,330,754,725,983,321,491,007,813,055,850,
844,891,224,284,412,139,780,706,293,589,019,528,269,592,905,644,348,000,199,
083,844,479,961,635,271,180,749,556,958,561,416,525,204,096,417,456,267,400,
929,089,195,350,860,371,632,418,507,954,420,788,048,830,386,337,170,260,674,
224,198,843,920,982,773,423,457,497,461,362,624,955,226,800,572,803,861,227,
851,068,568,346,858,742,276,311,459,861,620,981,893,868,808,898,061,379,300,
583,285,508,270,809,905,269,087,633,110,179,398,411,479,674,353,541,435,821,
268,532,374,415,586,824,925,579,028,308,596,136,858,058,876,724,027,778,700,
959,651,824,991,937,094,528,753,164,079,456,745,699,258,197,121,700,801,888,
517,214,272,360,313,685,892,913,468,408,537,341,184,655,706,349,705,106,475,
396,214,847,924,346,648,725,914,637,003,208,838,568,480,423,398,756,687,510,
191,757,225,129,566,141,196,962,398,560,339,242,343,013,290,494,224,432,154,
239,519,708,267,135,778,976,090,753,280,230,417,915,135,394,296,638,769,173,
726,540,432,690,284,187,197,917,750,719,397,870,105,102,224,083,597,284,275,
382,046,381,287,335,673,488,472,833,364,969,441,600,990,789,832,733,054,044,
619,749,313,010,992,730,234,520,588,785,711,590,634,876,443,016,360,520,564,
635,857,382,562,055,748,930,195,557,340,977,298,123,048,636,011,411,385,138,
196,533,775,598,523,043,831,062,328,094,253,439,566,817,391,457,773,510,413,
597,211,260,905,089,888,437,088,351,228,424,211,719,378,527,340,352,606,601,
768,023,961,621,509,397,671,062,872,491,723,142,335,630,318,216,679,216,531,
675,057,857,906,124,887,651,805,362,219,422,916,695,590,853,892,294,891,768,
052,197,189,776,761,458,124,300,322,540,353,347,508,531,780,414,146,689,442,
691,774,654,768,873,903,527,265,533,264,708,838,221,295,864,913,918,592,200,
728,597,217,942,901,336,509,266,671,347,316,524,732,460,593,718,984,062,297,
856,228,655,298,232,616,016,301,034,480,638,179,540,388,969,739,417,973,817,
236,751,588,450,989,153,730,192,235,761,558,036,782,510,272,513,537,936,910,
851,454,157,551,896,650,784,619,154,552,577,309,790,710,885,641,100,236,828,
835,239,532,497,883,437,641,544,688,412,584,493,607,226,157,168,193,705,802,
028,017,257,814,794,197,846,123,587,845,636,663,664,760,326,080,600,430,383,
804,372,945,088,650,411,818,190,263,253,652,250,014,904,467,512,204,799,628,
616,244,637,353,351,499,767,243,592,953,724,688,265,257,608,423,946,995,491,
324,139,183,152,622,847,975,633,139,089,652,060,076,882,543,585,799,836,382,
784,270,407,774,566,927,659,788,939,116,247,922,226,496,638,438,152,354,737,
999,704,750,785,924,851,827,643,232,258,434,536,654,149,834,545,565,384,855,
783,619,518,445,737,779,463,908,961,745,351,575,196,177,415,848,736,422,149,
860,043,286,775,250,588,775,754,886,518,003,382,782,685,704,194,749,960,459,
237,168,641,032,739,405,742,859,820,228,110,920,554,646,491,944,767,627,013,
114,307,967,611,912,125,274,764,829,513,640,200,594,432,105,247,991,002,633,
779,142,704,096,295,076,193,356,524,152,515,881,967,488,320,801,107,784,799,
757,633,204,463,668,849,656,439,004,275,501,086,810,122,215,642,994,887,963,
687,147,542,367,527,724,290,605,374,473,997,100,349,433,530,253,016,543,819,
845,575,680,367,157,498,707,658,890,062,617,567,172,264,958,106,538,996,896,
084,606,920,588,325,675,042,734,518,751,361,164,777,496,213,596,895,735,398,
424,031,942,929,541,093,631,979,040,683,773,389,710,200,707,564,328,369,854,
713,883,671,697,835,970,045,168,035,178,040,258,984,028,367,061,033,076,007,
679,629,591,596,596,376,291,214,427,004,895,328,763,314,396,334,324,931,607,
420,439,414,954,688,614,084,051,862,755,878,983,154,268,589,508,409,939,310,
792,331,227,050,960,009,457,375,786,066,265,224,249,443,058,125,733,954,640,
230,210,981,061,710,008,253,174,783,083,620,501,275,905,444,860,053,742,564,
303,431,670,602,938,763,662,445,793,192,101,377,881,630,656,897,993,642,314,
246,103,982,216,691,627,092,863,732,981,084,837,812,621,476,617,717,517,394,
501,728,057,602,065,525,225,292,104,765,573,844,389,509,271,215,823,428,138,
192,991,378,651,873,579,463,578,787,484,643,250,237,900,185,600,445,853,287,
507,329,908,555,738,579,398,807,935,922,491,886,903,382,542,839,480,118,428,
710,864,914,580,623,918,382,368,737,402,333,218,001,117,389,841,454,583,024,
661,773,954,417,790,093,165,188,186,030,195,303,253,097,655,989,524,866,754,
348,930,816,878,045,216,290,366,396,624,329,754,174,214,349,740,601,592,571,
899,288,371,079,251,411,553,588,668,328,176,152,822,426,896,789,330,147,848,
814,204,930,467,106,400,562,024,703,238,465,575,606,094,672,651,426,763,549,
573,289,272,006,228,922,436,653,438,229,476,026,998,696,458,316,042,249,091,
531,646,547,592,373,170,353,705,115,357,640,789,571,299,856,642,068,399,923,
557,738,754,061,386,134,675,329,807,697,153,424,201,201,710,374,211,915,648,
042,115,599,946,535,383,907,725,781,038,768,756,300,326,409,372,019,327,735,
575,924,999,037,689,234,064,871,960,470,427,307,034,331,432,063,172,143,611,
334,233,903,498,386,556,325,310,873,732,133,383,058,267,232,067,061,160,088,
507,949,893,394,472,577,596,834,503,608,555,024,898,926,413,308,135,453,033,
122,691,675,831,965,349,685,310,343,238,864,127,205,861,649,247,556,129,069,
493,326,325,085,247,563,110,207,347,586,264,490,801,849,884,430,696,717,959,
019,621,585,935,255,680,124,111,576,426,840,997,280,841,445,341,312,723,050,
432,572,084,130,086,634,254,481,914,963,450,482,266,980,401,552,162,341,806,
546,876,134,187,260,677,287,202,748,818,444,265,033,408,770,553,516,423,553,
952,061,478,441,369,616,200,627,602,318,427,552,813,340,702,208,351,977,833,
522,365,874,804,311,012,059,053,334,856,258,857,390,633,963,039,741,338,284,
575,200,743,612,207,973,431,701,785,315,260,403,650,510,467,874,575,204,048,
902,065,019,946,512,947,113,522,840,706,131,453,536,846,208,293,854,888,235,
999,043,130,272,813,718,738,285,690,863,699,132,106,386,143,924,760,053,209,
931,114,118,482,011,709,380,620,260,545,296,658,700,659,306,847,939,600,213,
830,439,675,166,325,437,832,992,798,263,236,580,514,265,347,777,758,953,173,
666,212,415,521,036,548,472,833,577,476,892,213,319,249,895,981,102,139,056,
141,731,651,242,945,682,258,767,675,393,864,229,073,163,116,785,751,523,344,
803,072,589,827,598,405,000,568,780,483,189,184,211,064,325,655,274,123,800,
145,379,239,580,115,753,986,738,510,556,292,962,113,852,061,163,887,151,939,
626,845,343,297,728,157,874,722,307,473,479,186,137,326,936,950,687,532,478,
854,751,052,454,431,063,751,618,595,436,692,295,574,747,395,920,737,159,062,
272,861,559,502,725,711,859,957,470,589,128,971,181,591,679,739,540,095,738,
710,269,403,195,480,709,176,702,712,833,735,812,799,307,177,081,620,293,744,
525,578,006,722,194,343,878,746,262,885,464,817,659,489,124,869,069,509,234,
676,902,913,543,996,033,949,084,092,227,629,314,825,432,296,676,554,625,448,
064,142,349,382,013,181,673,408,500,244,186,133,550,963,602,085,371,474,186,
125,117,799,219,928,475,776,611,324,986,671,240,106,247,125,415,350,875,453,
123,389,653,531,428,614,537,733,979,580,178,415,829,611,538,531,855,545,141,
163,812,847,803,177,839,080,934,796,958,247,812,730,930,514,119,374,399,246,
283,292,993,305,888,615,035,694,262,672,941,385,995,375,967,730,945,154,084,
186,132,664,175,284,234,675,780,481,527,351,577,561,984,749,011,550,627,448,
947,956,656,290,334,919,645,433,529,293,406,953,684,295,844,413,073,645,222,
843,274,084,750,521,434,985,449,190,137,237,668,659,379,497,888,141,436,797,
311,602,163,535,635,873,151,320,088,657,867,644,646,325,905,306,013,688,381,
496,974,992,619,517,193,203,791,468,443,678,718,516,840,220,579,727,668,926,
652,832,065,191,847,723,899,489,255,388,932,187,799,197,321,466,939,417,859,
233,169,422,486,749,289,292,310,253,622,327,033,832,286,482,688,113,574,997,
256,872,390,837,813,772,722,690,283,474,273,881,058,418,597,780,915,986,508,
200,084,025,659,876,256,584,114,333,331,192,271,161,544,180,507,709,519,611,
201,610,100,772,672,555,322,017,949,863,839,124,883,917,169,079,195,436,616,
695,262,274,999,586,787,983,081,536,886,627,641,585,159,139,603,199,013,236,
761,302,894,466,194,180,522,950,129,575,815,974,778,287,683,672,152,019,104,
139,189,944,900,077,289,408,875,102,943,681,315,808,667,928,857,242,165,072,
865,502,874,350,922,058,411,963,035,063,509,229,161,780,741,345,047,315,635,
562,160,950,490,370,251,232,611,150,840,527,855,610,837,481,425,403,005,441,
533,712,830,553,839,714,480,504,409,531,928,609,545,877,049,929,048,937,003,
585,353,653,568,990,249,736,379,556,737,473,019,687,524,616,200,028,555,613,
918,650,472,197,146,080,748,027,095,494,550,684,988,412,277,313,991,396,168,
603,772,186,626,515,787,129,377,880,033,277,808,435,871,180,203,031,271,813,
332,625,432,121,502,143,437,105,217,055,582,460,844,920,977,023,589,119,812,
664,778,300,544,580,265,416,523,058,781,268,693,725,962,321,919,826,598,347,
631,389,386,461,025,718,106,123,210,035,219,708,353,028,567,658,196,707,499,
706,211,391,986,511,412,343,154,310,428,406,202,526,294,597,293,929,592,763,
803,018,476,553,570,280,150,048,296,339,435,792,879,826,603,486,127,029,314,
044,529,055,759,612,885,619,057,468,784,935,788,746,805,198,636,542,885,942,
251,489,916,485,175,825,334,347,271,176,734,476,362,392,847,131,961,914,410,
703,154,619,115,963,700,063,606,734,911,820,836,406,234,750,364,725,961,181,
588,938,742,969,092,601,591,425,962,396,579,313,190,188,345,784,184,403,466,
008,292,693,532,809,860,689,891,017,459,892,515,095,410,260,262,584,535,601,
419,346,320,444,684,017,386,823,400,141,782,804,235,526,453,673,198,954,604,
451,439,400,602,762,358,599,234,950,187,550,249,594,825,986,010,922,516,854,
102,620,054,827,043,158,813,252,458,821,869,820,059,654,170,720,102,287,401,
654,075,521,094,865,721,011,816,476,565,577,899,847,674,360,451,186,808,087,
314,789,865,222,143,053,197,563,950,420,000,735,079,140,789,662,614,661,658,
643,487,793,802,100,046,371,650,520,286,593,672,074,976,610,690,348,615,347,
882,562,186,369,532,968,641,223,156,943,246,707,242,727,950,955,905,182,442,
878,904,125,777,217,036,840,659,573,273,752,528,491,550,443,362,750,373,544,
710,354,437,152,083,098,870,953,420,297,460,251,172,276,630,296,602,548,195,
697,975,968,591,627,819,943,540,964,537,245,482,939,404,820,011,148,896,813,
416,796,583,424,686,358,274,635,148,247,312,211,221,088,465,442,764,582,859,
333,934,004,069,562,451,931,457,882,758,704,438,397,791,670,454,349,390,261,
524,486,908,184,999,246,539,360,331,653,151,156,952,424,868,112,463,276,339,
666,458,609,913,456,980,173,420,266,200,443,148,487,454,215,139,180,348,601,
124,678,694,687,450,804,059,717,212,793,531,779,427,467,728,118,737,573,714,
206,494,217,936,635,599,529,368,590,107,813,855,297,030,897,182,778,952,880,
778,801,175,552,078,668,904,991,421,569,196,582,664,611,664,585,243,568,323,
547,328,204,577,671,993,063,442,681,974,797,313,514,376,412,127,793,578,778,
948,541,682,014,359,993,337,147,029,005,410,676,736,100,969,124,275,383,577,
636,185,481,212,257,612,986,256,367,988,376,614,267,215,035,084,027,467,642,
573,985,723,806,005,886,099,593,478,362,237,714,281,292,499,932,097,749,122,
438,530,735,309,387,460,285,796,205,413,739,643,795,623,338,172,353,430,025,
061,070,902,315,689,091,303,625,273,888,050,717,854,610,270,054,376,634,931,
035,787,802,736,967,119,172,221,824,743,519,883,353,444,382,425,584,152,691,
350,516,013,338,546,101,400,742,451,416,006,037,632,410,665,174,177,289,944,
779,473,084,676,933,849,524,839,024,182,926,094,914,870,264,244,452,553,450,
516,170,497,638,750,987,275,522,298,329,392,064,434,953,412,434,543,933,077,
422,069,184,327,162,392,561,445,412,900,741,878,090,278,364,476,386,174,394,
680,869,410,208,223,194,808,245,865,363,214,876,690,883,079,640,109,349,286,
300,339,699,851,553,507,793,504,367,078,784,839,849,916,703,182,245,843,275,
277,705,404,132,802,593,145,202,260,996,410,646,237,363,805,239,030,275,825,
382,201,733,167,022,873,404,758,322,679,295,892,190,834,858,593,530,110,896,
538,987,491,920,556,793,809,756,392,882,509,211,451,086,393,455,361,553,230,
931,772,353,034,297,962,003,375,452,790,280,342,817,724,583,693,947,020,125,
164,443,624,690,196,866,376,478,930,661,198,901,993,755,847,433,341,502,649,
398,055,927,736,790,057,019,060,041,286,981,180,545,901,412,338,390,335,686,
310,541,761,477,892,963,300,698,525,557,504,267,593,808,234,891,576,023,231,
235,579,692,874,861,401,946,275,937,440,823,949,307,233,749,573,230,021,777,
130,813,132,996,433,530,395,902,739,598,140,917,389,360,286,334,234,039,034,
392,471,078,325,351,209,888,630,110,739,425,974,483,832,197,746,156,474,409,
249,507,724,384,905,977,817,636,562,165,251,644,935,034,544,083,824,731,909,
716,064,457,077,147,512,239,534,503,340,447,285,836,671,865,829,222,532,595,
276,909,838,029,477,302,883,483,353,673,908,671,957,460,495,241,723,346,748,
198,148,907,523,561,871,405,501,475,765,523,872,186,648,446,703,747,455,977,
197,372,945,088,257,824,831,200,638,544,099,051,919,576,871,653,307,554,775,
702,750,772,742,632,148,664,055,948,406,685,281,247,551,946,218,702,956,081,
029,872,101,760,096,866,936,690,800,525,309,612,601,442,185,035,871,424,952,
289,816,202,360,886,860,361,761,124,720,274,789,752,386,420,714,487,652,092,
058,669,316,567,122,421,839,958,239,505,335,667,449,117,688,234,140,130,317,
422,428,528,283,135,199,380,456,743,645,929,414,676,438,678,064,030,892,406,
709,221,306,668,828,549,794,482,666,553,322,173,307,989,422,963,992,814,180,
819,534,112,763,172,543,653,991,645,987,695,695,894,380,887,457,551,000,790,
850,973,502,552,893,822,424,926,978,886,657,094,713,792,739,353,117,906,309,
110,191,847,152,364,911,488,501,874,697,644,000,308,721,246,447,819,732,791,
676,786,504,440,097,833,383,288,368,236,851,528,957,204,142,037,506,631,563,
954,567,432,667,118,884,737,745,606,072,886,788,199,113,212,309,672,700,075,
786,899,298,817,470,332,351,001,155,413,213,840,760,332,862,923,299,796,100,
387,678,542,780,836,194,751,696,934,463,264,019,164,294,628,994,019,918,073,
256,614,966,089,732,039,724,769,114,603,562,233,511,685,900,533,475,221,148,
844,500,784,679,889,257,110,503,925,274,044,890,173,953,243,975,794,439,990,
634,248,977,022,510,856,833,742,483,868,011,855,596,233,183,760,854,608,248,
847,441,710,756,817,951,667,593,534,750,970,642,626,182,599,559,730,750,011,
069,074,086,598,969,886,904,650,701,847,620,790,571,453,711,342,859,127,905,
198,313,020,562,237,389,989,494,679,949,739,130,096,600,276,241,671,820,339,
259,705,264,640,191,580,078,922,964,486,121,203,958,723,358,764,132,953,376,
376,315,142,063,625,445,948,632,361,879,550,008,634,697,410,748,172,547,717,
309,274,787,409,364,490,072,118,729,758,116,260,219,008,097,411,135,029,895,
383,525,556,224,849,266,049,647,216,905,103,934,900,661,865,067,868,513,174,
438,990,566,696,956,088,899,627,120,523,610,198,599,422,915,017,480,928,828,
937,091,940,029,427,054,448,371,307,947,261,786,751,990,030,250,900,186,705,
031,773,533,833,471,378,083,984,089,584,285,456,350,383,805,539,354,538,029,
830,811,716,393,647,536,559,043,551,159,749,482,007,561,654,369,814,365,891,
655,826,958,329,480,105,884,644,470,838,150,195,085,647,772,741,409,669,607,
015,485,049,026,002,642,641,900,967,248,832,663,857,810,120,477,426,195,176,
383,472,609,397,598,543,153,589,640,485,182,933,934,538,141,435,057,208,475,
483,664,140,551,011,502,417,858,569,663,199,907,340,617,742,444,208,088,807,
674,690,838,459,699,953,169,513,460,204,816,757,569,588,441,349,264,829,796,
059,068,854,626,096,014,964,204,425,920,206,029,708,213,222,498,188,740,843,
376,460,496,888,002,863,905,408,164,188,827,634,659,260,031,350,735,474,100,
327,844,460,154,720,768,853,566,678,421,158,916,656,623,283,127,147,481,321,
469,921,451,390,623,164,388,650,266,639,006,272,487,155,431,116,567,125,703,
850,765,919,548,837,364,908,494,130,327,452,307,826,021,573,618,680,029,880,
775,610,417,368,316,487,723,959,339,186,333,089,949,773,296,336,684,443,680,
412,316,439,958,567,301,493,326,335,239,095,576,301,733,985,124,239,657,844,
278,503,710,376,874,808,331,206,410,526,309,306,901,357,945,957,970,351,923,
775,899,566,658,149,447,234,531,134,528,863,922,870,491,066,478,663,926,320,
709,645,506,356,249,986,995,111,592,955,437,046,543,083,294,480,348,363,068,
713,435,922,680,975,937,581,214,506,524,254,564,912,032,842,515,373,235,487,
093,067,838,126,527,687,886,380,682,741,766,780,697,743,276,790,367,693,654,
674,439,042,356,657,004,362,518,412,676,719,831,798,431,995,817,457,102,525,
949,072,103,976,514,339,860,124,441,437,046,452,043,615,944,529,841,361,151,
562,474,542,277,070,021,127,221,071,562,242,549,410,172,540,513,960,850,977,
173,298,974,382,543,887,747,701,799,402,183,330,722,338,566,811,262,841,988,
601,986,182,913,521,975,122,137,338,295,684,754,910,137,611,319,666,192,968,
169,089,144,540,147,891,699,624,701,214,502,708,893,420,932,032,588,041,829,
083,827,360,076,445,158,405,886,504,009,882,122,905,341,871,228,889,982,043,
988,510,559,297,746,984,944,636,792,964,230,301,544,084,644,668,302,656,561,
898,204,152,255,953,012,496,989,624,899,635,719,672,654,884,801,113,062,674,
888,644,858,374,073,512,078,985,126,919,928,657,613,657,437,179,292,986,066,
444,721,830,146,386,819,693,114,328,109,152,104,006,511,523,964,953,783,489,
633,008,004,727,700,180,430,771,812,051,724,799,055,340,153,784,258,861,241,
186,957,742,571,960,988,462,234,036,002,331,288,683,590,484,432,328,013,682,
762,823,351,980,054,369,655,097,513,128,970,993,778,957,537,909,631,383,697,
995,212,895,959,398,743,545,162,298,024,748,149,554,783,028,826,276,829,115,
151,141,868,459,768,663,703,246,316,776,307,090,106,482,849,220,541,214,176,
379,119,394,029,543,555,941,393,838,621,913,273,463,615,879,023,880,577,183,
807,282,843,290,494,192,235,690,920,756,959,202,261,217,899,057,734,165,671,
639,422,455,761,187,730,154,540,713,162,306,385,578,915,877,721,404,329,455,
104,059,613,936,225,610,517,727,409,665,207,496,043,418,561,962,394,342,075,
875,631,136,190,287,240,735,818,184,861,301,507,107,350,759,892,543,605,029,
608,056,521,418,234,057,071,761,537,426,635,219,144,446,896,178,023,051,034,
588,310,772,487,386,711,624,635,732,792,689,592,865,673,459,077,621,139,654,
795,977,049,631,046,720,126,754,986,788,265,382,543,466,031,498,678,459,246,
507,168,058,079,851,168,021,225,172,726,682,173,385,082,145,390,711,303,441,
928,280,121,895,379,902,120,371,914,561,682,190,119,091,913,271,294,136,699,
941,191,425,993,903,460,994,557,769,586,520,242,584,682,631,362,839,383,247,
278,705,754,948,924,962,408,404,285,732,060,645,758,969,001,517,459,455,169,
106,783,760,118,574,547,847,037,909,265,624,666,124,390,729,757,668,345,047,
406,100,201,051,192,993,379,215,055,988,390,231,399,972,748,276,627,612,576,
680,087,264,591,472,947,451,682,775,611,745,897,251,805,403,334,260,962,933,
087,399,637,379,352,868,061,722,236,442,307,307,739,786,844,803,189,237,748,
193,867,614,206,850,752,112,458,626,015,707,953,531,832,465,244,803,182,873,
326,350,017,596,472,329,902,980,524,552,742,790,033,117,484,059,691,514,689,
611,773,777,453,901,674,873,900,943,273,935,717,830,746,373,010,442,180,402,
578,422,731,672,493,346,184,964,700,510,104,097,261,040,507,055,782,738,332,
937,028,065,140,577,356,531,662,730,855,383,784,416,206,142,114,327,156,985,
727,389,286,879,218,131,900,688,671,227,203,958,528,949,076,146,214,745,350,
609,109,872,597,455,538,591,782,525,696,371,872,270,958,546,677,200,722,942,
571,163,316,656,806,255,637,497,482,841,778,274,903,058,716,837,895,444,501,
711,233,496,253,116,905,111,511,424,052,006,845,927,873,665,019,643,488,422,
035,692,053,622,183,047,774,456,486,317,033,554,836,191,043,883,308,639,218,
770,298,343,688,269,253,784,664,706,331,784,596,262,947,505,962,271,439,913,
691,443,792,881,843,480,571,274,064,209,400,914,981,915,078,488,206,933,625,
855,518,467,829,630,601,583,356,670,475,227,143,272,548,793,455,460,702,647,
509,750,385,264,430,720,160,328,888,380,825,498,022,287,903,737,460,006,299,
457,895,279,789,253,955,748,123,642,128,559,492,655,699,016,208,331,194,654,
676,399,614,318,640,041,230,273,116,697,619,493,004,161,886,361,604,493,957,
754,351,501,804,140,366,427,708,672,236,706,251,666,580,871,647,708,066,636,
886,284,091,022,409,432,145,572,702,666,030,533,125,648,961,136,119,836,953,
405,053,022,711,058,144,193,228,238,505,378,207,211,049,539,874,943,122,819,
677,957,646,899,408,492,124,577,423,201,285,581,668,482,720,490,142,509,736,
573,574,234,717,255,388,379,366,708,530,341,883,561,008,570,283,194,862,688,
725,362,079,544,749,798,408,646,150,563,834,050,369,013,077,676,103,470,974,
344,370,264,420,721,658,695,651,596,865,253,652,144,494,103,762,793,394,804,
574,444,188,450,925,624,345,756,982,483,715,490,759,088,233,696,759,791,485,
327,379,251,614,117,100,038,792,636,426,098,443,543,071,491,185,692,791,056,
853,905,676,106,528,598,446,731,077,306,411,949,367,070,052,379,682,662,689,
267,996,422,016,131,729,072,628,788,813,572,568,333,284,856,555,122,190,654,
297,198,362,868,269,823,158,503,318,540,721,220,328,666,411,027,161,349,361,
120,428,962,388,441,199,975,798,475,503,854,134,146,565,043,512,541,087,309,
196,740,154,191,767,493,533,964,455,825,789,178,007,844,025,024,320,807,360,
251,896,726,246,178,265,860,129,856,810,858,443,456,353,606,950,055,624,705,
124,192,177,120,826,536,469,693,967,717,815,690,703,712,250,607,583,600,082,
405,247,251,959,668,646,729,145,756,723,051,188,963,233,200,135,755,662,253,
447,982,015,838,507,193,254,830,241,380,207,809,832,366,741,903,373,637,411,
369,897,884,181,643,267,938,417,717,706,674,317,549,552,208,575,530,700,283,
973,517,519,233,711,910,914,525,031,046,660,202,939,178,784,440,108,463,182,
170,236,012,150,297,308,893,801,169,109,953,937,445,962,898,596,773,110,528,
706,126,554,691,003,869,799,159,889,910,683,037,576,139,749,857,109,739,932,
852,635,200,190,474,894,930,361,141,682,424,496,421,723,526,622,903,599,259,
819,144,559,423,397,788,709,377,410,713,152,772,791,079,958,851,840,371,996,
946,126,898,415,612,966,617,320,305,546,394,909,771,587,981,545,160,447,090,
113,732,330,834,501,364,299,541,576,653,312,640,368,338,815,865,610,874,186,
726,220,532,538,780,599,093,752,551,575,317,801,889,645,796,270,520,148,105,
717,125,494,229,986,512,275,511,585,422,765,641,980,126,685,707,279,801,141,
867,733,641,394,132,651,382,927,965,106,603,140,549,666,814,153,708,978,915,
320,260,075,054,499,943,075,345,863,975,245,976,299,953,011,353,004,011,019,
460,828,401,140,697,068,506,324,614,424,112,561,100,969,078,845,215,937,096,
294,481,130,553,339,805,169,081,264,711,037,133,388,659,263,301,272,290,650,
139,788,604,291,706,710,051,092,492,561,901,688,078,423,566,790,823,157,497,
884,391,365,289,058,521,930,065,014,725,534,662,694,873,500,290,484,724,434,
560,619,327,334,124,192,044,204,325,943,030,134,594,861,584,101,029,986,169,
352,906,258,353,614,995,751,154,222,215,241,676,140,826,215,759,957,298,802,
348,968,948,307,840,362,134,250,343,011,000,724,813,528,374,093,107,347,379,
314,256,597,218,182,902,406,054,670,643,328,448,344,279,387,928,124,272,700,
390,574,799,760,771,076,166,664,471,019,325,790,241,749,687,158,213,999,493,
680,671,798,546,414,910,557,861,725,036,022,681,296,426,466,273,293,485,347,
028,639,497,762,694,456,003,818,318,918,660,199,271,354,764,426,873,598,646,
948,381,075,665,089,319,885,664,597,143,097,250,324,962,594,991,720,491,636,
438,911,340,768,801,337,881,437,619,567,580,175,955,567,791,369,035,425,299,
446,186,580,599,409,134,834,714,126,155,307,808,981,192,199,192,823,480,509,
888,320,483,168,451,852,592,004,445,524,958,307,367,081,227,313,901,671,857,
284,775,752,776,829,982,304,918,749,072,062,692,676,541,648,381,433,447,643,
267,658,117,221,917,278,410,580,304,206,835,983,467,371,363,190,893,982,016,
280,822,989,406,655,606,502,395,618,251,522,652,855,234,294,683,353,745,012,
958,800,816,814,324,696,268,649,756,267,321,727,437,438,549,147,300,931,796,
352,884,489,145,767,064,758,451,451,578,898,002,281,594,121,231,757,584,730,
655,669,007,149,397,244,295,883,845,482,378,444,491,636,564,443,573,297,633,
300,219,316,949,063,013,966,341,312,499,471,881,794,607,730,612,384,667,790,
751,965,014,756,361,320,732,132,018,073,544,171,132,933,374,398,265,315,952,
217,878,830,352,312,174,722,513,212,359,984,240,038,151,933,961,623,747,996,
220,926,160,480,211,149,155,899,520,050,218,952,579,440,952,228,206,652,718,
681,804,344,481,191,403,004,813,330,872,146,076,229,723,353,700,192,396,642,
881,145,380,400,874,945,223,784,355,963,901,218,269,060,809,715,593,869,812,
709,310,694,231,253,988,561,443,576,100,992,652,418,030,969,973,219,638,110,
345,341,179,792,393,272,618,627,712,147,834,812,918,517,287,617,664,599,770,
687,763,271,901,160,284,565,648,481,000,257,612,614,786,458,154,294,391,939,
133,703,936,889,915,963,715,855,365,753,531,399,497,924,697,914,590,720,160,
357,145,638,711,619,505,135,567,753,053,016,211,349,172,949,148,160,660,283,
542,888,232,356,234,302,538,133,829,910,259,613,723,409,937,908,926,986,694,
423,227,367,781,575,807,015,969,519,973,136,362,207,485,479,419,956,195,383,
693,935,642,032,186,498,029,293,088,305,323,015,237,202,248,868,581,999,179,
221,735,073,128,489,523,142,366,263,075,087,881,971,814,962,717,310,613,781,
770,081,143,640,980,689,870,406,031,421,531,425,375,719,779,373,360,043,193,
339,205,879,609,383,397,697,306,032,979,622,470,976,768,599,739,732,465,696,
718,473,552,187,162,795,316,502,662,915,689,188,700,392,122,845,320,311,960,
325,091,211,737,356,678,837,870,922,422,451,572,354,073,796,422,231,850,719,
648,086,320,232,392,071,598,244,130,336,420,625,282,288,539,333,109,201,214,
449,038,247,374,069,461,309,705,529,526,031,224,986,917,252,868,710,857,700,
284,468,056,151,900,353,384,603,247,781,700,463,519,314,706,249,768,999,012,
810,011,906,473,100,308,583,556,994,077,139,589,129,661,881,941,532,851,105,
966,033,724,240,960,216,889,935,215,347,666,488,503,777,109,626,138,929,842,
676,028,823,224,900,854,611,855,241,717,763,881,468,059,215,887,360,000,737,
113,714,316,564,096,108,080,741,679,607,086,374,735,829,758,191,347,429,831,
525,562,888,836,723,414,881,675,383,963,121,330,806,057,620,416,167,631,269,
755,561,736,080,100,015,381,189,490,454,434,056,500,091,408,387,753,251,126,
557,418,046,106,377,486,956,647,992,266,072,266,049,861,716,651,481,758,642,
123,505,301,344,343,662,871,032,401,650,553,927,556,600,841,788,118,109,151,
110,712,611,035,545,689,474,400,390,131,354,808,306,710,382,930,211,109,353,
288,865,654,431,546,245,906,116,388,757,596,798,714,331,860,837,594,174,544,
573,006,624,102,730,966,220,118,192,612,919,955,487,860,964,501,672,136,039,
182,387,400,959,031,698,908,609,050,405,015,666,952,915,803,393,928,700,834,
373,666,194,747,821,306,701,342,995,802,961,456,367,527,242,130,734,583,672,
347,419,820,761,125,365,794,945,838,457,328,527,194,412,394,576,772,031,242,
360,862,484,369,886,670,763,044,899,761,792,463,604,839,414,913,528,540,932,
389,765,266,433,574,130,437,166,247,770,602,842,852,078,889,236,319,477,610,
411,927,383,370,920,316,159,284,155,216,155,542,064,229,363,686,084,096,850,
705,969,733,900,125,400,960,189,568,143,060,151,968,853,436,232,516,854,164,
087,787,473,508,725,764,601,678,991,560,495,883,167,725,145,554,620,968,960,
745,805,780,487,102,309,060,392,510,664,325,822,083,436,197,548,690,996,406,
730,290,277,399,289,075,128,957,281,857,726,160,188,053,153,955,266,583,020,
750,163,099,464,658,687,694,005,215,809,220,137,330,877,302,846,754,269,264,
676,295,786,672,130,276,325,458,692,750,943,526,660,147,982,579,773,354,177,
077,798,471,048,244,716,505,427,850,591,874,894,464,762,354,948,661,836,484,
284,735,679,138,517,424,415,704,911,642,327,648,931,109,627,546,987,410,418,
072,020,628,102,851,377,787,311,646,902,300,296,860,474,988,450,405,714,628,
755,822,935,535,636,376,976,647,087,631,595,243,030,006,020,328,266,197,482,
473,357,452,735,533,764,910,302,685,534,022,168,214,055,853,559,983,178,462,
241,688,871,744,291,989,880,751,590,436,776,175,044,464,905,928,129,461,817,
376,877,997,401,162,876,379,594,108,408,652,124,840,675,865,405,817,168,247,
109,123,813,951,928,225,534,053,993,527,868,647,544,540,656,641,155,832,873,
690,782,362,524,803,670,165,236,828,807,431,741,191,640,206,977,696,317,081,
738,602,409,112,802,510,674,942,266,448,302,547,680,916,847,298,410,354,999,
377,590,841,660,114,458,920,992,366,285,673,632,022,455,998,012,268,115,157,
323,402,320,053,262,109,321,407,887,060,419,272,746,067,100,830,001,059,967,
745,834,732,098,194,311,597,071,224,639,049,026,429,927,062,554,877,597,616,
644,874,899,067,519,656,509,774,190,359,073,389,944,765,895,484,429,976,940,
067,583,452,260,347,324,830,590,210,779,580,363,533,199,273,644,095,057,395,
956,990,506,548,727,376,636,596,110,664,927,180,926,383,345,885,896,832,114,
857,152,666,935,379,333,864,952,667,614,559,796,186,677,751,314,596,049,838,
035,492,456,597,399,890,634,490,273,198,731,303,462,259,202,003,885,128,684,
586,845,327,062,129,895,055,524,417,055,579,921,274,918,910,201,952,359,634,
236,278,032,885,157,297,065,208,461,926,366,295,243,927,971,900,950,006,467,
045,360,420,896,710,495,760,326,185,024,134,733,675,122,673,716,801,511,852,
388,604,877,580,303,485,845,118,886,327,492,492,175,273,980,919,510,312,669,
845,093,492,982,364,461,584,764,209,499,976,568,792,358,336,066,517,781,623,
956,892,291,885,838,673,267,368,960,929,946,500,049,720,988,181,189,278,279,
712,014,275,053,731,920,917,804,026,164,155,575,837,642,659,103,473,353,643,
025,187,104,588,842,337,665,368,345,424,419,423,351,846,643,153,478,871,921,
335,898,581,380,414,466,588,354,221,651,272,444,904,636,793,213,835,991,797,
800,855,364,696,041,869,610,981,942,678,521,776,081,355,114,204,437,662,118,
987,231,466,115,374,161,660,875,158,204,476,075,206,156,225,497,877,278,208,
735,993,213,608,840,749,027,003,524,490,369,449,345,793,477,717,377,771,333,
922,236,605,689,694,471,043,970,136,015,789,026,357,378,026,106,708,311,212,
259,454,076,105,327,605,305,805,832,341,319,392,232,467,222,060,824,661,626,
505,888,459,811,393,644,179,573,195,184,707,911,635,355,954,221,343,434,664,
566,168,550,985,790,963,360,308,602,569,562,174,458,323,216,924,186,140,276,
550,495,040,110,899,483,933,702,656,665,414,216,539,800,515,184,619,859,705,
451,241,783,498,770,989,222,904,248,192,766,283,611,636,550,325,042,971,859,
568,811,652,639,000,611,724,655,718,758,805,497,715,279,601,978,755,054,915,
925,953,243,548,256,899,054,838,282,692,668,334,539,681,630,949,026,129,711,
787,289,375,048,936,835,767,003,573,126,522,141,057,325,904,503,126,623,452,
672,178,657,635,991,645,278,254,237,105,363,109,919,890,663,942,260,669,507,
535,865,014,358,669,962,602,537,834,646,339,319,203,516,250,718,460,442,178,
948,577,619,185,425,422,002,173,207,461,330,178,072,922,723,745,835,424,677,
483,446,777,798,814,043,424,461,392,464,548,105,445,732,466,232,273,702,049,
102,765,917,362,774,747,454,988,112,686,763,169,650,758,871,213,590,597,347,
424,628,168,546,179,509,895,252,667,044,854,728,771,194,370,801,125,098,233,
005,805,500,766,353,869,400,579,970,445,626,030,215,742,743,216,613,981,845,
831,187,508,036,652,096,016,075,783,477,908,889,232,375,862,881,781,608,604,
225,914,352,645,301,848,336,467,539,400,507,936,095,191,001,935,104,508,376,
899,542,390,474,880,948,259,087,621,970,037,123,723,199,091,155,677,684,707,
321,575,644,614,681,527,321,611,963,322,956,305,300,745,390,309,320,000,725,
075,324,846,468,318,885,876,194,106,878,475,690,991,411,063,860,559,909,799,
846,513,099,408,410,641,030,970,372,269,183,025,361,846,776,536,368,526,057,
534,596,197,408,835,913,839,249,372,305,602,249,182,393,083,942,934,082,406,
891,207,880,620,522,477,083,541,732,722,775,066,940,340,204,664,959,470,784,
423,440,077,917,219,822,395,164,758,847,302,651,413,773,073,705,149,625,386,
372,893,728,787,815,563,352,245,923,298,203,809,102,841,313,053,307,763,185,
597,185,218,648,295,118,727,990,384,649,887,044,721,621,413,520,343,590,469,
117,366,583,656,464,245,511,007,617,812,064,220,386,222,965,457,465,034,705,
636,275,658,831,762,210,897,630,378,418,919,801,679,476,241,690,908,379,098,
282,239,181,741,312,822,271,709,188,355,783,738,449,829,065,987,205,303,895,
378,020,362,178,098,463,923,420,433,534,588,540,798,356,355,637,984,674,266,
015,320,768,632,711,476,254,570,683,796,748,847,875,046,317,988,104,651,306,
766,919,348,550,207,842,596,416,746,512,214,778,743,826,143,278,371,640,099,
153,830,472,969,739,067,051,590,629,938,729,588,438,536,268,446,659,949,017,
805,050,484,284,934,080,193,202,684,135,774,171,483,133,816,317,708,345,144,
794,207,237,030,096,138,448,142,008,755,168,814,783,188,846,781,331,508,413,
954,997,400,009,336,811,378,821,765,066,098,515,756,622,708,380,229,860,136,
284,396,490,374,242,132,175,835,261,653,150,140,644,244,878,445,222,288,514,
860,471,984,486,496,867,035,626,060,287,273,185,967,622,869,296,491,484,300,
183,394,443,258,956,420,310,256,723,602,975,609,034,122,187,282,760,688,178,
858,659,780,079,006,072,141,897,052,020,123,738,315,891,622,791,988,794,322,
460,462,518,957,652,873,324,350,891,206,490,257,435,501,013,711,418,812,007,
564,152,683,896,007,987,816,716,483,649,494,510,078,301,744,990,444,561,151,
444,893,975,228,107,262,916,208,084,479,651,728,239,804,527,767,016,186,211,
881,896,746,489,947,701,027,597,043,424,952,199,209,657,678,246,152,149,448,
779,420,616,028,263,694,395,207,060,318,412,397,270,949,863,479,717,685,993,
536,119,606,365,080,766,871,335,717,753,600,892,366,205,445,763,897,734,382,
216,790,439,261,145,143,721,588,424,761,113,402,944,738,540,959,986,156,392,
878,638,419,500,551,735,438,057,507,785,622,597,032,392,719,225,695,528,892,
760,971,916,999,111,586,014,242,168,127,535,621,093,536,995,845,777,488,558,
645,898,126,665,014,071,543,337,423,126,236,487,624,443,238,533,925,160,196,
200,253,752,906,609,856,744,662,113,144,716,473,236,865,101,838,952,534,563,
852,494,385,249,740,770,659,604,337,379,957,977,254,805,239,117,116,023,780,
552,377,118,711,643,791,847,187,609,644,967,044,836,504,990,858,037,188,590,
986,581,817,681,247,770,905,511,558,166,366,652,234,442,612,421,836,497,597,
564,328,274,748,076,525,185,946,394,497,405,785,113,463,019,201,824,423,787,
686,815,792,308,174,852,763,643,095,938,737,784,576,050,564,021,065,154,495,
941,071,955,215,928,086,466,074,216,883,173,744,374,929,603,396,215,742,489,
536,333,548,880,678,444,295,751,205,311,952,443,873,642,355,926,748,140,528,
240,299,466,846,088,932,060,270,615,907,303,404,958,127,645,694,592,731,099,
116,751,280,907,235,167,278,192,828,663,530,189,220,159,329,696,159,703,766,
146,943,877,191,203,697,376,580,038,370,523,961,533,988,944,196,232,156,007,
100,130,192,787,542,863,145,969,700,386,169,253,326,939,982,438,647,593,996,
896,162,738,217,943,918,668,672,147,147,440,228,383,991,923,660,387,112,317,
219,659,217,453,777,785,395,126,558,137,293,088,865,414,710,754,085,678,850,
786,295,003,631,274,944,927,143,471,086,367,176,290,309,473,250,718,103,116,
826,050,073,259,307,938,604,380,241,730,619,992,083,766,169,749,190,626,020,
108,192,741,255,202,338,478,229,414,862,300,852,014,204,913,682,486,213,024,
869,575,692,797,194,489,401,221,872,076,204,980,243,193,788,655,329,842,593,
533,557,919,032,086,329,503,320,148,122,377,026,378,778,709,082,626,846,092,
210,348,860,043,734,100,433,113,193,616,558,835,434,105,278,535,069,797,092,
740,837,576,715,413,677,104,800,544,615,912,793,926,071,433,869,080,821,335,
963,935,496,218,577,714,717,441,864,237,985,976,304,093,139,879,839,696,117,
470,571,118,173,243,989,692,226,894,239,177,556,290,329,298,367,394,320,129,
531,758,745,863,991,621,717,169,368,374,761,387,982,847,929,566,775,950,555,
705,496,033,172,136,300,294,310,050,852,283,192,580,187,260,027,950,411,977,
865,980,990,554,820,034,559,679,334,516,239,647,239,919,097,071,626,296,312,
201,128,132,073,453,939,974,693,739,397,868,224,893,962,640,037,898,827,826,
832,590,099,629,326,586,998,440,957,222,478,801,064,516,821,175,142,485,523,
225,862,967,091,477,674,058,005,336,053,950,077,403,719,249,570,564,202,218,
622,715,918,079,311,031,297,754,887,687,837,071,069,416,319,266,493,931,105,
631,796,026,142,583,609,540,657,715,433,586,842,253,286,628,553,067,299,623,
662,553,052,228,851,167,993,501,888,169,913,152,592,075,160,166,792,563,423,
865,827,254,803,712,320,849,175,781,089,811,240,477,631,312,595,679,208,776,
305,473,749,820,847,301,175,063,289,258,700,080,968,204,872,181,054,081,656,
968,834,940,123,448,115,422,588,304,012,072,347,769,594,106,567,693,386,835,
178,226,869,621,269,129,963,092,281,133,044,223,788,001,240,532,573,633,547,
125,628,650,441,989,650,947,497,300,341,776,698,267,688,174,425,240,541,741,
571,187,591,775,123,456,943,561,449,789,804,900,564,848,700,321,164,199,072,
938,362,937,747,824,550,921,244,545,554,784,655,374,751,960,589,976,241,861,
696,014,761,686,126,084,039,906,783,680,417,282,489,046,583,220,184,137,303,
772,464,157,359,334,904,460,028,088,966,030,537,807,145,898,696,924,265,237,
584,290,986,295,936,191,578,350,265,826,488,556,476,170,210,978,377,879,112,
151,334,426,649,461,105,077,378,867,209,871,319,074,594,151,655,579,437,326,
011,285,087,363,696,024,741,004,203,501,787,476,237,266,241,570,114,324,461,
583,368,625,599,368,022,585,387,837,380,388,552,461,771,296,681,754,344,836,
292,525,628,595,348,151,358,962,123,623,882,754,927,012,016,195,213,805,125,
470,834,196,162,333,102,866,702,495,650,034,432,828,997,021,735,319,732,435,
015,983,211,632,542,147,831,770,986,602,084,729,999,975,260,186,854,514,211,
468,367,692,319,922,470,452,343,266,446,812,845,835,760,630,429,705,359,884,
732,498,892,942,290,709,929,578,677,360,543,950,961,934,977,204,267,951,450,
732,434,987,210,128,404,892,473,031,644,703,770,098,878,587,129,975,280,755,
418,998,733,826,916,608,047,780,479,987,488,744,932,929,250,602,057,867,537,
016,612,644,288,648,112,867,894,870,116,737,292,620,765,566,707,983,943,010,
910,946,907,569,990,266,452,983,379,168,047,537,155,259,696,830,577,269,086,
317,892,711,407,429,782,559,123,200,664,996,589,650,152,621,060,716,622,096,
452,742,820,213,646,758,005,466,071,392,225,410,341,205,927,820,395,476,084,
341,722,156,577,652,805,983,370,434,904,639,457,728,500,426,449,122,643,862,
033,850,186,962,949,493,996,146,622,270,731,837,273,092,732,349,530,667,732,
708,034,271,452,089,323,801,345,050,609,207,922,806,798,159,227,258,167,997,
411,692,689,922,311,563,375,281,150,390,261,363,783,366,624,014,449,247,522,
533,730,422,676,573,402,361,818,682,550,056,317,079,075,862,748,188,970,599,
861,274,494,650,963,122,836,012,032,030,228,246,117,170,631,190,266,780,793,
806,715,425,204,824,981,402,565,535,153,913,571,190,098,879,712,501,318,210,
812,780,802,712,244,382,354,508,053,286,750,048,969,116,153,818,660,986,968,
051,926,988,797,662,143,930,213,630,655,845,257,896,499,396,670,379,510,476,
407,895,922,373,972,342,034,696,419,909,708,462,038,175,255,868,511,230,448,
389,990,161,441,055,585,601,470,151,562,142,122,298,301,284,392,394,258,500,
347,083,002,332,869,008,623,387,698,493,250,091,344,243,529,585,885,344,962,
549,766,950,488,523,033,425,595,767,001,591,884,964,772,120,898,313,485,367,
256,688,387,816,835,709,104,462,352,505,120,903,736,668,880,396,374,264,472,
118,879,494,043,731,627,536,384,060,357,754,524,110,333,295,787,406,399,198,
445,031,474,809,082,411,161,925,602,694,322,687,520,820,826,649,174,223,554,
149,237,416,405,957,783,629,734,617,889,437,065,311,166,486,188,217,527,969,
286,344,200,067,533,219,281,763,456,960,606,270,055,419,968,271,289,484,689,
105,142,986,224,211,439,150,413,640,569,410,116,640,070,440,496,268,174,806,
618,117,043,434,811,521,610,780,068,001,817,105,603,003,528,837,164,250,815,
367,017,069,841,820,504,602,325,006,015,838,513,924,409,859,491,639,624,771,
653,339,346,162,992,847,097,500,186,768,549,537,770,687,849,718,710,288,733,
162,358,358,529,753,828,503,197,226,948,536,641,565,764,990,793,216,535,813,
940,446,198,318,386,652,456,759,035,747,729,900,818,722,455,285,919,776,277,
711,110,021,266,287,493,646,870,105,295,029,851,692,131,078,033,119,225,408,
672,903,296,645,698,156,853,074,102,884,653,263,315,241,969,644,838,382,319,
761,338,637,440,872,106,764,736,710,462,877,384,706,910,693,016,707,838,034,
048,721,350,924,999,891,195,436,076,850,588,044,872,538,591,604,935,600,569,
156,299,007,563,597,031,074,802,655,115,318,577,660,644,781,926,069,441,771,
001,384,407,576,312,796,403,513,824,192,574,952,764,593,282,113,987,363,307,
319,596,462,068,730,493,112,175,784,107,067,773,679,468,842,799,507,687,431,
589,702,681,578,528,157,449,633,868,745,712,732,617,473,283,439,649,879,374,
854,139,152,354,397,173,699,281,364,771,535,771,775,906,343,150,731,506,476,
742,965,649,714,570,570,169,402,583,873,937,648,580,466,949,286,751,440,719,
800,202,650,752,242,371,305,213,613,610,388,141,074,588,732,367,369,488,811,
553,367,959,489,272,429,386,383,866,715,833,490,796,074,788,764,888,142,599,
183,355,126,179,849,954,985,984,906,325,243,296,888,213,232,917,051,781,253,
580,519,217,045,121,188,664,262,104,277,492,253,898,187,844,623,857,926,077,
135,430,260,469,560,097,048,308,816,865,632,163,839,197,948,018,256,547,344,
731,837,778,391,807,718,290,026,375,603,309,925,021,591,594,796,215,121,040,
904,694,590,159,222,932,098,935,892,590,821,923,453,514,883,906,509,852,709,
800,987,067,448,299,725,113,596,147,261,235,476,761,262,525,316,410,371,398,
740,641,339,957,727,252,765,632,120,579,615,547,752,416,913,833,865,530,666,
920,299,689,782,491,732,492,240,299,418,772,902,472,535,790,757,597,538,459,
935,731,092,398,618,193,444,825,737,057,100,272,978,147,817,921,029,435,648,
496,320,113,352,820,212,632,189,499,570,095,470,620,716,274,269,600,468,169,
180,381,544,684,450,923,510,000,749,063,376,131,646,552,631,410,808,740,146,
012,008,199,311,711,585,575,933,799,469,836,779,831,411,607,229,568,669,465,
312,205,298,953,965,311,295,835,223,388,389,013,327,484,936,438,641,803,956,
375,662,323,447,562,303,865,235,332,409,320,932,101,189,221,909,162,337,051,
070,727,553,655,714,106,055,928,025,664,529,028,135,316,969,863,418,089,391,
462,455,390,951,356,862,752,106,595,552,879,779,343,279,337,083,983,466,676,
138,272,332,194,245,934,098,318,437,678,421,994,446,541,436,849,802,558,590,
457,301,787,879,014,698,056,134,720,630,720,231,334,752,676,615,194,172,776,
917,875,514,805,321,593,631,751,590,118,966,695,291,499,975,642,466,666,833,
650,458,488,928,168,960,344,790,527,814,009,793,351,446,152,083,337,720,845,
302,312,784,377,109,112,143,240,963,132,606,980,120,839,480,423,368,243,730,
110,567,828,438,231,807,385,106,038,545,310,759,331,372,076,200,942,979,763,
839,933,907,510,364,400,269,447,386,473,383,826,760,830,572,768,857,249,482,
444,721,473,219,385,424,213,335,005,827,215,310,192,158,066,430,925,670,265,
512,320,734,824,076,416,294,277,820,820,444,237,844,995,154,891,719,932,423,
580,317,076,399,875,720,312,710,705,147,044,867,520,556,592,959,049,960,201,
051,296,861,707,841,418,350,408,753,192,343,980,211,735,054,430,431,160,586,
298,540,127,996,682,379,743,189,209,744,716,518,582,733,861,529,138,615,002,
988,291,805,275,637,538,095,538,954,967,288,345,889,762,120,717,217,728,829,
297,213,228,603,196,376,581,574,321,920,857,622,072,436,260,726,824,434,218,
985,413,505,812,740,929,574,766,560,342,979,942,294,510,395,905,508,076,581,
142,020,143,131,432,708,606,650,434,037,347,780,622,332,293,341,840,909,866,
384,337,316,932,522,574,482,936,628,886,015,577,602,260,484,879,010,383,096,
245,254,588,938,030,674,323,336,781,287,683,658,693,007,191,658,475,970,415,
553,630,483,878,518,972,751,023,938,811,118,880,336,729,150,344,681,800,605,
387,396,655,369,344,808,244,295,597,659,179,811,599,229,667,238,078,891,372,
497,547,677,943,174,368,325,102,255,203,444,802,441,118,144,119,545,694,122,
670,766,835,042,082,878,127,291,867,072,439,097,946,057,065,372,862,359,417,
311,761,504,375,286,062,501,081,271,319,359,396,657,200,906,035,541,869,498,
452,901,705,700,180,242,416,268,893,249,305,277,271,496,732,802,672,019,443,
791,570,947,721,111,933,112,078,444,061,550,726,495,525,224,334,862,932,083,
165,249,898,937,784,689,278,840,194,702,929,028,146,373,802,403,245,538,145,
784,082,533,829,582,390,803,421,268,215,570,734,926,407,354,147,871,859,734,
667,821,641,316,676,440,700,742,458,884,775,249,765,837,744,122,387,129,251,
378,021,545,979,541,186,907,998,775,885,790,265,490,837,921,051,484,334,356,
106,289,766,946,691,971,088,761,326,633,201,907,763,872,957,650,891,722,916,
650,241,415,966,283,528,247,562,769,600,987,265,593,528,243,785,099,876,714,
754,572,507,766,732,009,768,165,632,015,559,872,286,718,938,665,031,123,366,
601,725,158,011,985,841,090,948,228,700,563,103,535,585,483,210,660,924,593,
919,585,345,273,081,615,820,616,005,556,814,394,498,575,190,760,809,812,102,
637,978,930,832,883,710,711,045,253,567,365,520,320,293,433,706,257,557,881,
967,244,405,285,945,679,432,261,795,648,117,519,141,199,699,339,227,234,031,
518,703,835,489,442,297,679,571,488,422,363,120,460,502,628,358,958,966,644,
133,935,582,193,609,096,121,232,669,611,646,246,066,133,557,870,114,410,025,
868,744,976,476,238,353,887,392,338,923,279,047,651,700,179,529,539,690,249,
119,873,922,264,003,552,657,672,164,969,227,915,902,072,355,213,328,826,871,
124,144,274,784,501,721,484,199,327,978,630,102,312,647,690,781,095,204,857,
366,879,035,327,795,139,662,907,844,332,263,055,557,527,095,406,577,167,858,
448,666,291,078,240,938,415,600,799,317,264,257,106,180,559,299,783,645,136,
975,550,227,123,769,385,487,213,817,573,365,187,763,950,961,030,008,523,529,
953,767,908,637,410,301,420,283,831,279,819,645,731,665,405,527,176,262,842,
089,559,766,277,188,353,059,809,110,540,546,828,903,691,470,164,393,592,946,
807,565,154,916,855,510,642,586,913,262,680,883,026,928,357,870,007,655,907,
728,960,205,062,318,683,736,242,563,088,228,267,230,286,306,823,645,133,039,
867,766,299,816,325,620,261,107,058,485,661,865,843,819,996,171,965,803,452,
454,724,624,712,406,599,590,088,034,632,589,738,951,844,505,935,979,918,854,
231,433,659,234,081,401,734,277,969,337,798,517,217,783,476,469,774,070,878,
770,037,936,650,137,606,876,201,681,565,614,750,647,529,939,635,465,627,846,
776,903,473,704,154,424,076,460,218,154,537,066,293,826,659,640,025,015,010,
645,342,511,973,604,094,019,211,052,443,935,800,057,368,118,203,451,078,347,
762,096,075,373,020,227,125,280,088,908,320,749,236,663,048,361,697,752,391,
016,069,080,514,757,120,126,035,618,979,402,872,057,184,314,338,606,777,903,
830,173,472,118,647,741,394,185,076,099,370,609,311,758,702,867,445,583,070,
614,495,416,884,553,788,262,011,794,750,337,163,608,720,355,313,964,524,869,
332,458,642,080,202,982,199,387,894,740,343,530,480,746,718,620,615,388,094,
967,739,681,860,199,990,874,610,163,271,845,508,771,195,346,716,072,577,769,
468,760,432,050,211,850,914,392,602,236,912,037,050,928,939,845,304,913,733,
816,890,282,135,095,511,263,961,048,673,775,384,955,066,782,166,235,634,451,
194,653,361,837,184,095,381,969,637,585,042,090,739,278,039,404,229,962,786,
129,515,385,596,472,347,719,479,006,751,704,480,671,347,303,954,432,972,452,
581,131,118,235,868,826,995,276,075,640,712,840,303,649,706,246,920,914,382,
013,766,660,364,701,576,742,214,976,758,403,190,428,600,984,134,851,136,604,
164,048,496,230,888,840,110,270,350,537,030,270,991,107,901,731,646,114,340,
637,113,777,750,037,312,068,461,620,532,969,121,687,690,188,751,995,189,088,
979,974,337,358,896,597,742,811,896,480,553,089,508,111,473,961,392,215,268,
549,812,710,521,343,676,053,375,457,538,159,758,658,174,449,491,656,028,161,
202,509,956,747,420,110,976,562,778,353,294,898,667,070,484,813,673,438,834,
373,173,722,630,815,747,380,968,712,498,575,580,204,326,513,947,506,215,315,
766,469,341,166,680,346,496,976,222,726,658,954,011,690,383,268,010,078,357,
402,983,186,331,263,456,601,850,091,265,746,259,220,344,831,542,167,029,485,
207,117,642,743,526,851,189,233,434,513,126,464,103,665,873,029,002,076,991,
487,623,694,804,472,513,812,590,834,484,679,801,209,138,342,307,049,817,459,
431,344,231,301,917,358,035,835,711,971,855,798,222,349,211,833,488,106,405,
776,489,771,112,802,274,512,358,626,357,880,081,777,124,697,753,583,047,986,
397,216,472,702,675,048,679,129,752,484,667,926,247,469,453,490,558,739,101,
812,140,926,471,215,852,451,686,293,987,013,319,328,437,198,834,011,773,826,
722,137,282,544,962,838,087,521,627,505,310,958,201,345,899,415,188,801,532,
547,197,573,750,237,468,674,019,960,557,040,916,655,132,454,739,787,622,119,
318,264,395,173,077,255,081,977,255,868,553,202,987,727,345,512,999,400,989,
989,381,937,503,541,739,908,940,441,588,355,257,383,768,932,194,416,184,987,
037,762,702,511,470,880,786,820,460,144,869,848,960,870,860,915,271,466,913,
434,133,883,825,868,580,560,381,088,829,824,824,468,403,918,694,705,617,028,
039,930,670,516,040,226,870,631,872,190,495,399,350,280,740,213,891,465,944,
224,174,515,601,173,161,690,773,440,477,453,080,182,066,532,975,188,134,786,
220,539,282,383,387,807,442,269,974,806,733,592,195,040,267,131,972,845,501,
061,696,182,782,562,221,549,636,028,897,401,174,004,080,141,230,247,615,061,
178,133,377,597,263,685,249,650,448,205,754,030,567,550,067,821,035,431,710,
265,364,065,166,297,841,616,570,688,723,296,837,425,561,340,259,083,420,096,
999,543,318,208,641,157,247,549,721,259,860,377,038,318,945,542,856,585,210,
951,914,445,550,417,052,053,354,820,056,555,674,039,906,900,327,015,393,973,
709,389,100,174,437,939,160,084,334,173,616,247,004,988,490,603,487,533,556,
425,641,289,054,663,520,341,795,717,159,687,826,897,191,135,612,608,400,843,
816,856,877,573,979,252,773,792,078,728,252,285,562,143,486,428,200,160,284,
282,454,976,814,035,184,406,105,620,030,086,199,337,676,494,850,038,910,085,
300,442,031,779,409,138,165,903,361,312,058,011,220,089,380,171,426,373,450,
214,003,674,466,918,190,133,840,728,533,800,896,567,668,402,769,449,438,461,
837,188,112,415,294,066,684,383,556,764,619,857,097,931,716,121,196,984,417,
686,082,979,965,515,035,651,953,709,940,498,800,544,021,232,956,189,998,506,
286,626,295,930,989,340,355,252,043,022,445,775,356,562,902,132,094,490,849,
117,532,375,784,621,675,918,498,175,511,542,283,754,323,686,433,825,727,309,
169,563,505,133,605,973,078,970,052,433,980,904,340,915,562,667,704,230,275,
327,882,090,440,758,297,127,446,789,988,671,108,497,948,256,120,915,927,033,
877,952,131,587,262,098,851,876,161,094,432,190,397,600,040,810,540,183,886,
118,948,433,870,563,058,840,417,359,009,726,074,895,678,029,372,350,451,608,
511,364,487,379,606,575,230,506,415,280,523,162,407,078,458,409,922,225,977,
341,919,624,586,919,434,534,214,318,633,397,705,324,439,539,208,502,779,344,
028,547,802,099,101,521,696,945,571,685,104,258,280,820,448,076,559,897,388,
678,987,923,512,152,935,681,389,727,066,266,689,226,518,991,218,504,659,500,
333,761,671,538,596,700,663,561,515,735,929,056,305,157,290,708,016,009,060,
921,985,450,595,290,312,032,942,269,112,353,159,739,195,385,560,490,787,651,
519,230,477,575,757,693,366,820,140,357,070,312,216,206,586,310,771,614,221,
177,920,107,993,146,928,925,303,473,948,064,621,688,528,270,391,514,962,533,
990,477,881,141,085,088,754,491,152,997,265,967,562,664,014,879,533,502,832,
771,427,020,935,262,282,471,432,778,878,484,574,736,255,605,340,402,116,101,
806,048,876,691,999,391,621,377,753,021,702,736,825,699,083,231,274,669,354,
271,434,988,230,888,971,215,589,507,955,173,359,990,864,898,756,234,152,364,
826,823,180,796,724,815,695,950,588,571,801,703,047,723,235,100,033,347,920,
441,249,819,058,018,602,298,669,145,540,271,371,902,316,047,452,823,133,287,
577,161,807,254,901,178,869,345,222,078,700,136,526,569,730,223,103,778,175,
161,981,224,137,091,602,345,743,560,127,503,139,087,024,538,345,372,960,618,
845,717,974,017,445,817,113,093,614,626,384,024,965,377,183,431,065,390,876,
778,250,457,655,448,301,284,709,381,811,064,786,452,804,519,091,916,252,478,
267,460,969,676,077,737,490,299,748,749,315,065,575,588,828,935,032,310,144,
489,287,413,735,951,461,523,037,847,083,404,078,112,339,828,753,232,184,829,
257,112,781,563,742,773,413,406,818,679,538,650,141,049,576,545,909,626,578,
693,463,914,127,522,182,939,600,818,130,467,769,876,732,013,391,573,097,486,
231,051,891,269,042,258,500,880,381,851,041,999,290,143,917,003,386,856,546,
962,366,320,893,888,601,288,205,216,259,227,597,221,241,358,214,278,863,696,
063,265,591,628,280,168,259,023,845,719,145,684,575,651,873,906,082,997,314,
992,200,191,617,357,012,653,691,281,635,986,792,385,952,714,206,615,210,742,
482,707,240,092,493,641,993,194,202,120,160,064,521,308,285,168,537,589,334,
566,495,889,852,024,850,180,327,728,877,787,343,415,315,374,851,762,055,664,
961,907,631,157,232,062,641,738,676,784,270,800,355,260,475,332,445,147,278,
775,834,188,076,732,522,059,937,817,121,857,159,779,056,313,481,706,344,330,
656,418,498,755,045,801,223,898,765,773,744,986,602,359,373,794,166,989,038,
835,605,108,024,923,655,779,340,126,835,920,373,633,081,800,315,347,154,582,
708,257,770,242,073,351,316,794,715,155,712,773,683,393,716,672,111,835,369,
650,155,301,778,142,889,082,583,880,698,743,428,486,174,980,364,393,949,489,
001,927,109,127,561,936,619,343,382,231,272,698,836,365,923,484,201,576,022,
682,835,431,995,770,920,403,944,349,238,106,826,205,407,862,716,223,138,762,
679,197,492,901,223,596,124,260,069,621,854,763,496,625,491,214,881,289,366,
739,139,116,316,049,553,821,327,690,705,971,269,494,989,602,814,048,642,742,
824,031,924,575,955,665,377,600,403,881,705,240,069,269,487,444,056,546,411,
987,688,215,827,901,111,537,992,255,029,667,226,704,962,922,017,411,368,964,
414,129,694,250,656,203,375,322,759,327,647,819,071,260,609,879,716,103,526,
055,012,286,144,843,430,487,055,519,572,950,143,136,461,901,716,012,822,804,
461,690,727,889,568,820,970,121,277,354,304,357,777,144,694,819,921,533,714,
721,217,079,056,181,358,131,289,711,913,103,675,225,284,804,987,012,720,351,
045,212,041,812,580,980,804,677,968,658,771,475,354,072,522,042,028,649,145,
693,818,439,645,331,236,983,280,504,803,396,068,036,314,158,201,950,555,318,
794,039,955,929,314,630,082,109,306,321,201,398,426,462,673,965,458,787,372,
880,337,730,958,487,752,103,945,955,905,739,710,656,504,106,215,052,142,164,
323,908,236,614,305,147,279,658,799,033,101,893,762,876,549,752,179,404,844,
167,510,660,574,476,587,770,096,350,295,363,033,695,317,766,338,388,980,461,
591,591,748,699,354,372,242,021,978,568,116,352,968,727,101,501,726,891,256,
608,458,170,230,204,655,320,348,085,802,838,472,298,845,588,651,976,975,337,
515,097,823,671,783,177,133,999,817,438,070,525,861,709,476,157,626,398,823,
669,055,578,904,654,552,070,392,115,990,697,891,404,488,340,297,578,915,266,
913,198,419,447,571,739,697,008,203,828,779,074,932,850,276,441,309,762,165,
770,466,032,763,214,077,790,905,578,350,325,664,911,514,261,565,233,364,935,
447,578,426,260,629,604,404,478,402,834,539,874,620,464,511,063,629,368,380,
068,601,851,998,795,329,884,639,880,713,111,690,250,998,381,417,048,771,636,
566,672,197,084,486,043,848,066,883,301,575,430,021,451,185,899,091,400,256,
002,407,065,033,274,576,744,958,348,268,943,680,409,692,479,868,095,009,707,
068,908,953,768,958,391,446,178,825,479,564,408,837,161,869,465,321,573,760,
990,404,807,463,964,448,465,304,559,176,961,252,869,858,422,775,994,089,969,
887,798,482,083,236,925,463,643,355,076,606,305,723,793,382,391,255,280,969,
013,626,028,456,927,944,289,731,426,299,276,197,267,185,091,267,811,631,573,
293,701,990,026,703,246,792,796,275,245,228,437,396,646,603,348,564,362,885,
460,032,544,969,353,749,326,740,040,574,568,770,994,894,593,755,336,756,407,
992,560,089,578,908,649,345,115,386,949,693,085,025,010,262,801,236,468,481,
962,711,683,692,641,062,027,654,056,178,538,675,389,006,743,656,998,031,776,
933,956,034,575,188,290,674,627,316,040,107,610,312,956,512,772,118,575,008,
037,675,664,015,828,158,668,564,854,569,412,658,261,430,489,986,294,937,821,
186,080,179,837,170,074,522,271,557,625,863,002,393,616,640,766,922,834,866,
373,551,141,920,108,986,564,734,770,503,772,167,549,418,290,188,256,797,846,
691,282,489,696,635,607,057,621,389,865,826,740,982,205,010,404,857,105,817,
917,702,033,303,923,470,134,317,299,779,010,335,118,182,294,485,993,338,173,
500,888,223,785,180,050,742,085,464,785,931,466,460,953,209,075,866,004,991,
146,829,163,961,650,795,123,420,455,054,313,460,349,939,648,345,829,704,643,
364,841,260,368,934,007,437,907,882,368,413,324,383,827,915,899,147,200,341,
859,364,359,910,390,157,332,044,343,280,939,965,256,082,209,124,092,294,666,
803,383,714,864,142,210,305,895,493,897,093,202,074,490,075,044,767,727,383,
538,606,310,986,297,661,027,561,327,449,342,157,769,584,610,360,299,569,479,
466,471,708,943,822,059,917,802,542,058,274,767,457,777,817,594,901,223,259,
169,113,776,267,064,202,362,150,367,777,942,173,700,348,078,924,099,746,530,
581,081,200,818,854,666,508,931,365,421,434,934,046,058,699,448,788,806,070,
239,799,925,374,104,650,802,532,721,160,831,076,288,389,314,487,576,111,115,
240,140,678,577,719,263,731,602,238,186,602,593,271,085,127,475,161,917,201,
171,415,413,866,036,258,562,614,556,708,939,736,665,057,451,971,702,945,449,
550,201,043,185,976,283,920,851,577,216,640,085,786,763,152,536,710,776,921,
862,691,770,250,939,167,046,948,286,214,334,755,225,716,991,966,968,772,572,
361,631,307,658,489,353,521,727,822,935,492,368,802,113,464,703,732,655,954,
002,479,646,816,549,870,006,755,456,666,767,394,198,308,860,376,076,602,565,
730,003,408,018,711,150,988,127,574,381,961,411,603,115,440,904,885,755,417,
604,432,751,602,185,970,154,129,261,663,196,677,018,139,852,186,479,129,898,
387,800,717,098,561,044,743,096,770,528,127,893,720,637,546,830,024,562,169,
013,649,744,628,643,043,774,039,703,430,121,756,024,367,513,321,794,140,065,
741,760,046,744,553,262,076,730,840,183,536,665,830,187,835,125,263,883,266,
152,743,248,939,825,713,451,889,437,942,936,670,059,389,427,433,221,063,109,
710,699,888,154,334,608,962,848,271,250,743,248,422,252,192,285,337,670,062,
234,287,509,531,370,602,803,558,054,147,206,981,241,976,376,854,104,030,812,
158,097,937,295,890,550,363,114,837,735,874,612,092,490,167,610,701,522,953,
665,129,244,281,116,760,329,207,961,277,698,141,126,080,331,653,222,323,407,
271,064,051,237,878,737,248,784,448,003,312,574,527,845,791,297,715,582,673,
445,461,715,520,129,748,488,983,997,931,700,520,250,235,630,673,602,418,328,
095,773,193,073,881,035,979,894,907,468,967,033,822,148,601,880,938,927,416,
947,363,700,508,191,131,530,130,914,781,784,547,797,493,578,939,294,302,468,
867,397,295,877,852,970,032,596,378,945,891,287,751,523,034,766,630,801,526,
479,382,695,001,658,984,263,329,475,079,954,542,610,439,128,994,331,077,523,
270,277,456,537,890,291,892,851,218,708,693,973,315,048,358,432,992,286,742,
082,457,664,412,624,918,181,902,687,860,199,641,429,757,782,869,943,694,528,
345,219,700,541,847,074,107,017,342,308,919,630,530,435,486,499,993,707,763,
513,336,260,830,967,718,822,869,743,230,738,589,625,083,167,755,193,797,903,
562,346,523,509,671,032,634,846,526,379,883,537,671,219,280,757,292,399,753,
421,305,519,445,438,421,641,145,343,394,692,314,449,125,229,260,671,019,154,
786,448,857,369,795,065,532,904,579,705,383,302,492,694,585,408,049,011,796,
131,964,263,559,568,345,214,739,666,125,984,042,324,583,160,347,588,724,105,
375,411,671,831,535,938,324,974,372,469,430,437,421,672,374,556,111,572,434,
139,051,585,980,622,562,604,686,958,666,139,961,341,798,308,349,656,238,653,
674,351,250,933,028,172,431,553,600,137,435,067,699,426,511,076,296,053,433,
069,798,152,589,804,988,868,538,049,832,699,357,060,463,583,330,802,654,075,
006,918,308,281,774,741,518,592,178,564,564,338,345,712,971,784,087,112,621,
728,549,276,306,341,342,371,886,624,116,245,789,173,137,635,928,294,503,434,
108,131,914,786,877,931,545,617,141,807,528,553,615,928,141,056,973,965,298,
606,049,947,352,125,586,233,269,724,342,926,128,660,081,309,581,950,387,099,
547,501,214,633,121,526,633,681,885,332,264,738,412,809,553,836,962,062,879,
500,639,951,881,764,415,209,785,123,055,374,716,810,439,756,128,117,384,112,
879,995,239,414,789,645,216,901,520,462,949,290,049,984,961,475,725,149,014,
401,561,893,695,064,663,876,168,013,445,900,619,241,740,888,322,475,557,969,
734,532,028,283,364,987,477,453,885,803,571,969,157,663,585,597,467,816,954,
041,202,682,683,024,345,644,015,448,122,411,346,972,476,963,409,207,222,853,
299,039,099,055,427,378,357,873,425,088,641,637,147,042,045,866,699,994,804,
144,723,581,312,949,305,875,540,564,264,103,824,462,634,934,376,800,462,333,
284,951,422,418,307,417,766,927,142,607,595,830,429,974,522,540,550,969,780,
460,407,367,699,944,569,713,785,857,114,336,839,210,653,104,206,118,785,769,
915,236,152,095,429,818,193,904,586,795,328,448,554,864,284,931,692,513,855,
671,091,422,712,357,811,116,397,625,610,554,637,092,957,736,241,963,143,984,
022,273,629,862,488,516,042,592,935,220,372,748,446,914,456,840,956,707,254,
725,271,409,277,227,647,438,330,799,900,969,584,582,502,135,292,618,086,858,
225,860,567,030,444,315,419,463,177,409,825,104,175,225,612,633,296,664,920,
733,246,170,651,273,414,740,259,779,927,990,200,245,617,915,037,755,402,410,
403,043,056,737,442,424,261,490,724,204,997,694,395,636,266,428,162,633,066,
980,378,331,153,996,311,079,900,832,633,697,767,165,184,248,743,139,013,123,
664,987,825,175,323,724,739,463,697,864,189,564,646,182,149,979,905,980,846,
642,676,679,336,163,297,744,861,567,354,997,636,840,344,941,808,662,846,599,
888,955,096,919,165,194,011,806,148,759,534,622,418,304,796,756,979,941,701,
926,864,768,720,280,282,817,542,916,323,068,308,197,099,527,304,092,640,471,
531,312,092,984,203,527,882,996,068,510,592,501,940,795,335,647,059,884,757,
625,702,339,690,396,358,882,483,406,915,092,877,756,118,073,282,942,841,723,
692,503,999,285,451,107,737,560,471,733,114,774,822,970,541,466,384,968,940,
726,791,047,359,951,625,530,302,695,622,263,137,270,161,431,135,675,422,463,
595,250,910,625,464,649,567,830,457,766,521,015,204,711,691,275,960,583,556,
410,124,843,906,991,373,588,339,875,538,763,195,054,845,692,947,189,452,021,
248,865,193,962,147,799,334,686,900,232,797,478,670,756,369,413,514,632,987,
498,973,765,885,814,602,559,870,324,223,475,911,854,266,524,047,588,801,293,
923,058,669,445,308,003,951,754,329,602,107,227,024,793,296,934,867,657,123,
439,928,488,366,160,261,867,966,430,087,732,944,767,950,558,477,966,550,364,
218,939,479,072,404,749,361,562,432,442,159,204,819,701,869,523,547,648,188,
888,371,074,205,572,890,794,070,503,756,139,056,199,411,774,282,364,289,317,
296,036,084,429,216,047,562,227,089,517,108,329,985,495,177,438,926,553,629,
527,739,310,548,056,974,265,410,708,125,462,369,940,606,273,280,659,342,423,
865,587,296,435,248,575,951,304,729,260,300,887,920,930,497,689,079,286,876,
948,807,494,850,049,814,960,210,931,872,118,232,698,182,267,404,265,177,382,
884,340,611,044,566,664,077,854,130,389,169,383,657,223,344,333,265,314,574,
099,996,209,948,416,919,603,058,693,835,466,023,864,345,051,565,382,569,492,
119,519,042,932,050,560,201,865,290,541,617,385,158,585,130,543,796,243,180,
496,337,176,020,257,856,409,480,697,605,570,994,627,326,630,300,892,200,520,
100,696,515,471,839,280,455,619,115,572,830,901,560,554,164,167,663,368,394,
473,727,647,157,026,327,043,590,986,279,113,510,983,621,254,429,375,906,864,
166,772,547,523,884,391,927,186,954,384,464,498,708,533,008,958,582,877,943,
029,768,970,350,490,370,041,066,279,417,778,513,755,528,287,105,109,469,218,
349,529,500,587,668,195,765,644,431,948,978,207,040,280,167,692,321,721,179,
519,988,781,575,350,112,104,344,254,524,075,566,619,511,854,273,085,384,136,
694,530,697,325,185,841,654,173,590,694,744,042,189,627,494,153,085,109,301,
876,800,467,630,601,640,737,703,979,706,930,412,547,638,824,204,806,544,938,
993,243,503,993,765,823,926,398,903,352,442,563,733,395,417,673,479,629,540,
678,624,927,703,370,562,705,853,115,895,636,747,628,520,462,331,905,863,696,
624,354,124,456,387,274,004,783,619,314,644,101,161,865,758,709,722,002,102,
686,305,127,947,351,195,328,631,015,062,273,103,538,465,713,515,657,533,527,
338,359,914,673,288,158,847,303,665,001,266,986,550,636,515,391,069,990,057,
911,242,230,823,215,562,194,188,969,948,341,763,552,156,293,525,045,082,124,
074,282,713,273,536,489,650,583,306,759,409,160,572,261,028,492,382,836,387,
097,032,563,931,458,158,745,915,411,541,590,830,334,421,898,875,693,714,868,
962,762,804,181,133,939,364,384,264,208,372,209,187,041,548,794,057,572,630,
679,092,015,258,139,132,269,818,247,146,601,932,563,670,515,843,819,147,919,
274,023,924,379,699,633,923,255,480,979,473,697,935,831,073,343,454,008,798,
802,644,238,074,560,769,366,015,837,399,854,186,159,090,449,064,119,529,108,
817,939,375,757,563,279,708,067,744,817,865,736,633,046,147,418,915,506,757,
812,786,423,662,365,879,999,812,170,800,642,934,385,784,904,959,751,846,735,
218,931,338,687,178,398,475,796,678,662,401,300,356,001,503,724,032,041,221,
361,807,921,034,562,585,057,338,872,592,385,326,020,935,309,441,268,625,052,
088,121,451,307,124,866,838,362,058,470,679,763,771,728,498,752,053,908,530,
439,066,154,434,735,472,989,247,423,714,908,871,818,653,572,533,961,950,848,
736,524,039,361,159,785,043,588,035,805,800,281,544,162,274,264,439,560,727,
465,418,920,502,832,580,473,149,516,299,495,841,276,441,850,849,597,860,172,
572,175,076,292,487,471,344,415,272,782,929,319,846,388,978,006,181,409,312,
648,645,166,440,055,779,062,561,816,915,264,849,971,176,351,796,699,441,539,
942,671,632,991,796,512,133,669,967,749,175,634,977,350,104,184,160,269,318,
040,171,396,984,603,815,941,777,145,654,705,081,579,767,174,925,763,575,533,
862,406,979,825,335,362,663,401,633,578,147,298,814,143,383,471,465,617,282,
493,633,411,944,546,582,711,121,168,681,677,552,401,343,483,762,350,903,558,
233,719,411,208,763,740,787,534,392,604,035,721,740,706,228,873,867,457,275,
645,526,980,663,024,691,152,893,547,400,483,047,268,286,918,530,491,192,253,
924,666,987,704,627,423,048,708,295,668,184,439,292,739,993,295,058,796,530,
174,197,853,100,736,182,709,472,798,125,056,237,318,352,376,441,487,899,777,
979,970,211,152,247,577,475,849,373,733,782,817,839,531,736,842,084,979,571,
368,626,782,482,117,366,158,335,465,443,815,413,353,696,107,191,974,582,713,
571,357,316,108,688,655,980,541,682,296,231,628,134,152,362,744,408,523,596,
713,668,317,005,131,649,468,141,951,006,884,661,243,170,173,383,215,963,453,
477,013,662,775,983,928,402,687,801,289,734,354,135,860,220,027,437,251,132,
738,145,311,223,147,411,190,859,869,744,120,858,747,029,413,161,954,892,825,
898,582,256,007,492,168,466,154,278,582,813,706,672,799,776,063,153,494,648,
202,543,731,680,082,430,214,994,501,645,315,805,829,908,154,395,123,667,383,
852,545,938,956,415,533,892,084,251,157,530,225,155,464,100,886,074,439,164,
765,827,412,134,464,891,353,578,601,150,975,107,423,783,500,556,150,335,358,
044,584,820,713,275,343,720,046,696,254,125,283,485,483,889,009,136,317,362,
116,916,219,130,609,526,232,108,136,945,773,429,758,202,570,727,467,076,304,
680,709,640,600,503,637,291,950,952,565,366,113,371,997,279,243,892,428,443,
899,405,244,537,458,903,546,912,990,796,411,015,493,862,139,372,412,362,947,
386,711,762,339,679,793,235,273,877,744,694,552,129,789,397,461,751,553,918,
218,904,388,768,064,141,532,399,389,404,778,096,456,842,364,302,427,869,440,
139,334,715,195,365,823,346,117,310,094,713,048,325,668,430,330,480,752,785,
234,369,423,410,599,927,661,935,276,685,235,548,343,540,896,079,220,795,011,
411,424,631,746,926,190,825,491,552,382,540,545,290,403,725,721,762,457,431,
528,362,663,727,040,634,862,935,002,718,519,078,816,794,271,472,660,563,319,
968,124,997,634,523,616,067,666,833,288,797,775,062,451,425,444,365,621,679,
423,637,637,500,952,427,266,623,145,344,300,502,202,007,374,622,947,039,022,
313,061,512,762,450,256,038,958,340,142,797,967,020,504,491,612,676,883,152,
052,635,231,636,704,527,527,430,193,622,151,301,851,949,646,423,886,298,830,
175,327,365,863,937,632,339,663,951,886,546,117,978,995,850,626,042,263,204,
316,613,950,176,308,364,537,001,554,239,673,928,534,516,897,781,953,573,234,
541,292,999,833,777,591,581,351,451,026,128,578,288,420,830,451,278,501,675,
675,816,043,551,664,581,577,139,570,859,762,885,322,880,705,239,509,340,891,
118,264,070,687,496,383,800,598,246,602,479,071,992,873,107,642,145,227,945,
836,385,155,460,799,200,078,022,592,574,144,237,458,252,124,093,633,103,404,
863,574,729,852,406,594,684,728,012,775,363,044,907,554,380,124,131,849,209,
671,328,714,145,118,608,340,708,671,340,791,491,093,659,014,856,632,011,605,
800,649,361,399,111,928,488,552,384,745,667,776,703,664,393,250,264,027,276,
761,549,460,282,861,261,117,868,284,652,410,681,814,433,934,462,185,746,017,
591,225,276,129,573,739,033,383,721,955,575,899,668,505,130,448,863,585,580,
801,037,037,424,426,577,898,262,014,041,545,416,718,830,472,310,268,732,805,
288,015,897,906,890,727,955,747,051,685,658,134,900,146,756,953,477,967,635,
815,824,254,604,624,154,245,775,846,771,358,522,102,582,686,166,774,558,036,
444,628,128,416,904,411,107,119,997,988,100,443,056,327,491,925,085,230,705,
895,098,670,590,027,993,165,521,496,654,803,013,210,067,375,338,457,857,219,
512,825,826,806,504,043,818,460,887,689,999,977,112,884,045,444,649,667,575,
230,392,828,045,250,844,136,190,859,618,361,406,263,962,673,688,958,402,302,
246,501,076,128,264,124,789,613,476,316,319,039,891,516,193,275,200,788,332,
097,300,528,407,510,376,047,141,445,093,589,954,008,201,554,188,241,431,903,
836,267,896,159,590,816,597,804,609,222,820,862,997,366,914,720,678,982,085,
321,103,749,478,906,874,760,842,713,023,973,759,687,534,637,374,478,562,618,
343,408,761,024,684,224,012,245,011,119,352,691,850,017,051,282,278,522,921,
170,780,001,014,737,677,618,442,032,520,204,306,076,916,247,234,518,700,290,
195,357,815,337,587,184,807,413,253,293,764,656,168,147,555,430,117,682,413,
474,525,674,433,377,975,377,241,201,590,488,015,491,733,579,760,664,488,306,
842,108,348,647,834,812,274,391,067,787,277,451,179,882,604,145,279,737,570,
964,588,986,531,507,533,427,647,854,797,373,240,723,291,701,758,662,588,343,
181,056,749,799,017,227,185,990,879,468,413,595,340,201,356,486,154,694,615,
800,996,851,374,503,585,657,508,815,084,513,960,405,565,670,855,668,899,160,
038,279,349,152,437,465,464,199,222,814,129,560,461,970,900,371,917,531,193,
386,537,721,407,665,214,123,930,221,626,223,829,245,096,561,567,361,178,804,
292,994,671,506,965,299,100,009,285,912,922,999,484,723,690,300,778,696,898,
414,599,711,437,720,786,267,018,215,408,025,381,210,615,791,434,779,512,084,
604,451,311,221,151,716,466,424,954,446,347,637,295,674,993,267,205,256,599,
388,843,630,948,981,471,087,295,962,867,432,628,494,965,930,954,626,170,281,
446,163,554,240,784,677,021,224,489,787,091,492,898,641,379,835,411,537,285,
889,856,602,626,713,547,240,424,055,008,277,756,323,413,302,527,898,056,120,
915,375,394,044,165,887,659,668,408,615,674,150,937,472,306,978,869,288,860,
415,157,517,732,148,433,178,977,939,982,599,186,987,337,547,397,809,854,357,
819,616,679,580,291,164,974,206,597,082,640,699,938,422,709,616,226,481,333,
946,551,120,957,601,082,877,194,808,090,289,030,422,090,871,801,278,875,875,
652,804,212,120,832,469,742,313,729,481,665,668,616,129,673,522,767,257,878,
444,280,191,874,802,556,053,241,346,092,414,684,672,772,999,367,053,620,525,
933,598,460,150,576,288,312,259,602,333,555,805,133,801,244,655,872,537,687,
371,756,340,012,658,503,743,903,007,763,718,019,576,906,421,184,172,931,839,
498,394,882,636,939,903,519,714,248,519,996,546,447,628,911,435,743,130,827,
431,118,621,864,248,370,318,425,757,166,903,644,626,964,916,612,480,252,442,
645,618,913,439,870,023,045,695,270,733,458,668,080,649,080,504,622,574,556,
681,489,229,349,472,879,060,227,109,944,231,332,561,391,987,274,672,838,873,
561,940,290,011,707,429,537,898,932,306,535,845,122,755,567,261,039,234,076,
433,879,592,714,114,639,928,771,247,701,351,311,363,161,662,315,015,945,611,
185,862,396,484,860,902,677,362,475,048,241,952,017,533,636,482,498,061,635,
915,766,125,994,509,830,881,880,126,160,108,728,925,874,380,852,377,402,167,
843,200,083,412,219,603,112,805,432,598,033,164,515,485,499,629,356,336,335,
787,561,245,587,162,935,655,108,442,227,850,534,220,181,675,278,124,588,262,
031,468,430,695,482,226,104,054,174,858,977,090,703,137,707,499,248,902,880,
691,267,682,106,495,646,768,409,430,563,068,978,295,843,127,193,152,529,597,
005,883,552,490,891,923,945,496,663,619,561,752,222,999,036,225,598,289,822,
926,325,023,029,680,740,603,246,469,915,167,386,273,253,703,703,540,755,748,
800,992,141,348,797,752,772,916,630,325,307,701,048,000,320,528,140,479,256,
396,253,420,766,052,523,697,427,626,403,588,258,692,649,779,638,068,984,654,
057,879,746,958,114,620,783,903,296,504,906,337,532,529,046,177,168,738,956,
369,770,888,887,176,538,422,779,846,973,314,754,825,196,455,460,193,862,813,
219,857,038,927,719,384,003,562,685,282,164,140,584,818,162,327,353,574,385,
394,995,895,495,048,146,429,610,344,915,491,412,470,193,637,863,288,403,496,
149,597,065,896,378,125,806,640,865,277,412,634,391,081,911,121,773,908,012,
847,224,664,212,191,942,057,533,216,778,398,192,242,648,120,178,057,631,272,
044,466,978,854,939,198,504,594,298,438,181,893,558,288,095,083,386,795,762,
336,637,481,152,208,790,995,474,224,737,040,621,329,970,884,483,537,932,024,
993,349,327,282,007,982,418,322,282,203,095,305,675,411,574,067,636,738,252,
892,515,263,115,473,412,776,248,367,494,484,718,105,607,498,901,434,050,136,
921,991,579,530,169,837,318,433,774,234,590,378,505,996,586,046,084,490,978,
138,151,538,748,616,113,439,325,813,234,682,947,158,175,519,806,606,534,578,
559,197,489,400,280,554,735,233,523,537,818,698,344,723,033,530,866,765,146,
433,633,930,578,562,481,004,034,437,402,029,213,964,125,458,432,872,182,134,
390,121,282,075,926,115,185,102,710,996,519,177,151,209,251,899,166,939,515,
997,490,439,286,436,805,553,396,723,170,459,420,159,150,057,038,770,813,250,
132,222,114,199,764,473,806,370,290,862,410,318,395,169,655,503,995,451,226,
700,986,025,400,591,911,205,674,351,038,050,878,617,825,931,670,028,347,936,
044,015,862,584,652,197,631,904,830,031,330,079,608,553,272,701,115,175,967,
603,042,979,003,844,064,972,650,154,531,961,999,095,316,935,630,156,362,340,
053,441,606,586,191,527,557,251,641,506,070,534,423,523,485,969,260,909,343,
317,162,773,344,122,081,124,786,794,432,091,753,322,207,367,304,960,414,984,
723,371,974,004,698,512,009,460,644,389,449,727,037,083,399,239,443,652,072,
916,443,080,468,070,647,946,642,284,874,243,805,517,518,053,410,048,172,321,
722,108,068,304,529,853,359,315,156,745,176,934,650,423,704,135,403,016,963,
871,882,144,731,799,400,994,085,453,671,881,073,711,592,496,039,539,547,034,
142,553,059,625,689,365,584,114,415,128,111,498,266,664,178,590,433,853,087,
160,028,156,994,353,255,393,989,412,915,177,666,208,980,891,762,765,755,834,
557,450,702,409,974,882,381,752,448,832,546,362,686,962,451,870,567,026,669,
604,148,500,459,864,280,220,029,804,248,652,627,334,729,488,687,377,051,628,
597,189,051,027,484,304,094,522,978,910,842,928,447,729,757,040,640,673,024,
061,804,705,135,231,907,373,489,163,765,188,837,735,953,377,764,733,324,440,
269,084,923,931,999,598,367,445,434,803,688,134,427,272,531,198,103,255,072,
055,561,652,124,415,162,984,067,880,238,463,908,108,848,568,740,176,123,969,
751,050,450,816,289,841,353,239,356,514,652,608,422,149,966,774,462,281,393,
822,128,947,783,257,082,510,807,493,242,181,021,306,557,237,795,308,805,805,
330,698,543,601,719,308,272,741,030,236,033,682,531,890,756,637,296,439,688,
183,691,196,572,070,714,211,309,978,616,012,221,721,240,758,439,896,241,372,
991,557,283,738,858,575,876,250,249,552,253,423,119,450,702,380,230,336,811,
032,849,430,154,798,162,337,176,855,544,347,941,892,944,392,731,697,401,552,
734,572,639,954,009,520,386,054,772,327,444,039,390,922,468,760,726,741,310,
712,223,539,329,121,221,008,990,454,400,869,980,064,493,075,926,969,268,765,
126,225,737,895,773,338,366,868,982,292,422,392,099,501,630,123,640,447,354,
433,427,153,105,581,628,858,150,146,209,765,107,165,235,367,695,096,041,528,
270,104,556,645,983,018,418,262,064,307,101,130,269,032,122,839,689,442,470,
109,270,363,693,807,457,867,362,311,945,416,007,200,161,399,567,583,797,048,
856,620,364,620,183,325,317,472,165,784,270,738,604,191,711,394,623,077,435,
029,378,440,508,952,604,770,132,760,699,556,328,286,246,145,704,244,475,698,
394,138,334,119,623,943,868,728,679,494,892,021,309,910,450,345,830,769,194,
211,912,266,833,655,877,185,849,834,837,618,131,600,569,822,049,853,575,649,
231,009,814,934,639,776,852,058,442,773,434,890,540,531,536,608,418,489,854,
242,945,594,389,618,492,523,236,556,258,860,824,087,193,941,713,034,360,175,
533,713,742,965,644,688,566,087,930,470,637,087,574,053,694,612,276,162,643,
067,918,873,793,850,819,710,614,917,831,158,561,878,007,183,484,361,369,778,
449,709,332,678,485,644,535,290,259,878,232,892,496,531,384,723,229,753,955,
407,246,568,957,574,872,091,004,745,551,099,342,565,313,872,502,830,340,126,
724,292,520,634,213,580,805,315,153,242,923,909,998,824,488,444,655,226,574,
812,753,473,212,637,845,889,094,104,999,303,334,912,581,726,075,869,265,542,
729,956,767,160,086,613,582,982,482,826,891,236,164,079,826,570,095,316,863,
528,119,827,932,378,793,160,675,412,049,414,341,737,239,809,061,117,760,898,
516,809,948,097,461,033,597,915,849,283,877,477,285,032,206,119,489,848,774,
336,727,526,755,508,357,736,624,550,857,475,514,562,091,253,617,409,229,118,
987,972,123,783,486,150,754,216,426,285,782,181,293,591,933,954,598,829,513,
615,740,782,027,329,310,373,298,706,591,363,773,473,547,535,253,490,419,587,
605,731,820,643,631,044,911,980,756,635,797,646,919,991,802,507,173,532,300,
275,218,095,545,923,656,545,056,542,374,796,849,437,845,994,027,735,166,216,
270,278,829,848,037,366,555,574,083,119,129,551,890,024,235,674,116,862,136,
093,958,070,242,484,113,394,532,383,788,901,035,542,107,788,878,317,154,072,
519,510,358,271,163,776,497,410,864,919,191,717,045,573,335,584,573,857,365,
623,554,494,550,980,548,531,309,560,834,965,844,102,428,360,170,818,447,036,
861,518,134,646,484,885,627,249,797,763,041,218,456,220,134,585,901,183,326,
120,977,978,168,912,424,789,865,543,275,330,899,410,598,882,709,915,550,432,
909,933,066,298,401,596,129,837,104,639,138,872,483,388,961,071,503,617,825,
269,209,347,449,049,126,909,019,134,592,730,574,909,581,748,741,543,328,209,
290,138,379,315,435,429,022,008,607,574,641,594,361,784,410,209,956,070,898,
815,494,850,512,635,228,900,825,362,588,789,899,854,786,845,005,862,114,753,
246,287,359,277,486,045,021,435,426,962,835,394,625,347,163,795,906,337,469,
743,396,190,420,668,117,976,982,011,544,804,365,009,040,262,049,640,410,789,
429,385,237,863,372,755,706,945,874,679,759,241,639,448,685,103,252,355,777,
946,973,479,976,893,760,692,454,676,939,347,524,009,785,987,091,735,378,228,
656,044,404,735,045,678,689,862,925,612,810,139,995,742,016,727,240,095,353,
919,500,400,704,337,229,256,055,163,349,332,022,945,742,715,871,508,730,410,
398,623,055,925,051,534,323,555,113,385,121,664,047,429,253,456,625,815,441,
420,897,817,487,728,070,046,973,364,752,189,553,216,579,979,067,526,104,918,
111,721,591,928,465,404,538,336,632,807,795,905,512,392,051,865,385,999,908,
778,446,178,119,821,205,460,268,502,742,058,252,236,436,247,356,572,474,073,
484,479,152,591,930,211,840,559,693,769,537,292,111,630,665,381,173,032,014,
529,068,894,819,988,316,366,064,029,603,718,894,626,111,374,447,319,370,656,
583,969,190,122,272,337,174,838,407,355,261,230,091,250,858,529,324,068,322,
086,432,576,601,450,043,773,222,296,139,054,171,284,005,601,567,949,591,321,
004,289,471,649,410,910,734,516,379,290,356,643,504,595,361,144,687,701,673,
449,985,412,432,298,794,663,180,318,459,847,396,998,219,475,688,696,422,740,
962,542,606,098,802,766,983,547,774,019,101,524,320,423,282,185,695,961,398,
376,922,148,822,291,626,099,937,742,248,423,314,100,680,998,984,472,807,761,
998,739,194,203,454,369,250,505,905,870,679,734,855,859,116,670,266,951,864,
341,946,168,856,898,631,061,614,611,409,382,156,028,759,923,892,742,899,011,
491,828,247,470,227,787,106,822,151,902,759,259,370,699,525,009,756,055,737,
536,547,164,090,240,766,101,329,934,809,820,708,510,524,494,084,234,006,555,
586,086,580,003,261,154,825,823,725,488,067,988,072,242,548,157,574,395,249,
279,338,149,254,085,907,239,044,828,462,984,753,821,594,915,824,064,261,256,
222,691,885,256,778,189,051,284,492,578,563,773,359,959,822,162,225,636,176,
896,957,658,140,249,777,538,797,817,782,679,918,605,840,660,483,832,685,670,
874,795,263,500,458,101,177,282,970,027,219,068,884,900,349,212,051,714,469,
305,064,591,725,295,718,963,690,091,139,554,431,132,367,929,970,436,865,959,
878,406,791,688,408,563,948,588,956,130,610,522,882,250,469,460,016,781,917,
167,761,363,717,641,564,174,947,825,426,563,939,020,521,340,744,943,003,454,
777,890,498,762,674,954,964,245,369,916,340,197,889,834,237,186,500,643,959,
507,567,670,232,609,478,822,156,193,987,469,947,374,669,125,669,547,593,845,
398,019,353,553,673,009,103,662,373,636,548,725,517,386,467,368,939,375,127,
836,882,982,188,102,618,584,553,878,797,734,771,338,521,781,554,588,391,372,
025,183,905,932,298,170,982,858,457,213,292,944,101,930,049,636,822,246,333,
192,341,584,844,159,179,091,547,077,195,814,714,563,107,857,268,044,657,167,
601,529,309,823,350,052,263,461,078,388,304,357,667,872,131,262,434,734,012,
086,276,213,621,105,225,681,785,383,976,422,908,133,204,552,054,418,964,628,
911,136,393,114,779,876,368,280,036,176,731,519,502,948,746,658,305,424,159,
357,731,850,367,181,809,511,168,884,522,889,969,834,375,873,720,060,347,679,
494,392,077,208,075,378,664,876,463,871,079,331,926,189,827,953,144,060,540,
576,917,454,626,150,672,917,253,760,194,113,132,918,343,958,125,115,347,611,
769,156,096,918,511,280,048,520,943,362,282,038,458,686,288,582,194,989,027,
964,123,547,979,274,973,562,306,218,802,348,626,656,339,418,347,915,395,612,
538,534,944,683,963,085,647,328,886,585,505,442,075,256,917,737,186,877,003,
520,528,075,949,768,787,614,741,780,428,369,194,777,098,122,912,505,882,367,
494,185,019,792,276,613,284,176,710,586,910,358,896,923,843,508,412,423,653,
869,388,364,267,685,175,567,893,778,714,959,065,384,037,692,868,132,391,044,
783,286,867,777,839,241,007,378,278,277,862,962,624,742,824,177,342,571,386,
016,182,339,363,943,336,743,211,269,188,690,102,820,825,708,681,204,078,099,
504,004,830,015,361,744,849,585,348,928,823,965,315,972,076,924,381,916,645,
531,609,042,695,942,654,588,848,193,535,684,783,419,059,665,009,439,543,378,
600,924,196,393,154,796,307,309,764,170,550,820,522,473,568,945,096,564,004,
687,711,460,659,059,639,725,126,228,453,309,469,111,405,010,463,271,710,039,
360,426,952,948,605,551,323,022,828,604,463,637,416,193,231,946,717,122,092,
707,674,992,031,085,960,509,318,296,607,932,485,255,449,667,593,622,903,837,
518,469,205,580,135,871,823,814,343,442,133,067,409,334,532,152,902,776,534,
598,720,061,531,566,871,564,887,334,568,196,420,403,008,764,059,186,892,440,
826,321,849,467,667,685,633,129,690,581,224,128,839,823,343,541,122,155,669,
979,339,380,866,159,719,003,582,291,435,019,716,738,631,285,619,430,078,945,
920,353,936,860,811,734,600,257,502,639,186,983,507,395,718,455,412,838,563,
777,886,842,912,115,771,403,246,052,105,401,999,986,412,569,505,122,931,873,
914,213,001,099,761,027,139,558,706,874,147,357,714,402,823,787,273,966,991,
370,947,752,580,225,513,313,380,002,047,422,773,818,774,901,826,638,666,100,
607,682,282,923,098,411,298,974,327,907,337,295,050,025,897,255,036,141,321,
420,865,761,851,779,322,012,154,298,498,136,774,464,544,388,765,721,466,737,
583,222,868,972,402,123,817,981,587,278,324,780,698,893,591,875,136,907,461,
173,323,179,508,772,899,787,405,839,831,618,290,301,446,234,085,975,651,855,
510,076,071,570,366,633,544,236,419,802,543,150,395,904,169,012,481,414,923,
389,072,979,931,950,395,552,915,264,209,913,041,362,752,458,879,093,457,387,
472,290,212,561,813,487,530,665,313,328,457,115,768,885,047,625,075,609,552,
309,948,841,769,527,209,412,219,401,255,408,889,016,411,284,487,414,473,916,
793,077,593,630,449,491,478,684,091,517,541,552,922,249,915,549,926,930,572,
784,094,815,100,269,418,974,724,847,709,216,743,329,280,726,438,490,197,680,
674,243,054,637,149,237,102,277,746,488,753,639,607,169,295,890,133,893,842,
316,025,315,516,154,812,892,107,079,352,135,003,033,750,803,999,354,528,446,
962,018,803,365,903,572,461,759,860,838,670,294,070,002,530,673,080,285,843,
146,310,264,796,848,594,633,109,732,421,706,512,245,532,107,643,509,870,120,
916,890,027,905,421,325,490,433,371,991,357,053,907,888,001,159,288,403,443,
749,148,620,553,375,686,377,099,539,038,841,231,801,843,166,199,147,117,289,
953,160,173,208,990,554,695,452,558,599,361,212,199,997,037,093,783,377,647,
938,821,324,572,486,782,657,012,069,362,361,307,251,989,408,094,039,330,800,
846,140,309,617,534,259,837,366,013,439,251,711,422,257,673,625,838,392,704,
369,313,331,167,196,905,249,030,911,771,361,385,252,845,816,382,461,106,524,
358,544,210,045,864,878,150,367,628,419,357,994,105,392,331,902,728,320,768,
912,730,403,314,561,234,653,631,124,390,307,706,214,450,623,756,069,870,942,
534,775,918,889,378,912,156,220,754,730,091,318,791,087,092,136,844,386,376,
913,412,569,643,171,227,106,147,966,300,815,488,378,805,030,716,013,438,059,
445,012,107,781,546,007,192,695,399,417,517,368,286,302,770,777,301,181,963,
309,253,839,858,073,675,839,645,567,499,800,527,660,264,005,556,949,720,578,
095,420,333,638,874,111,746,922,803,157,989,002,388,480,514,912,812,709,646,
448,293,660,771,940,889,222,186,403,866,130,570,412,736,241,957,133,102,836,
547,275,785,987,030,932,807,517,419,874,947,668,189,155,170,526,024,282,413,
115,563,821,605,326,565,271,162,154,209,795,469,954,764,207,910,081,399,086,
152,190,934,876,224,754,637,182,617,098,204,575,670,767,558,333,497,983,121,
770,023,781,316,160,040,373,705,703,850,868,126,093,692,263,584,201,420,168,
296,339,838,764,845,105,787,050,115,749,163,498,785,216,674,280,565,984,312,
443,183,218,780,694,426,209,347,957,961,377,272,726,844,797,609,248,026,616,
303,710,319,040,211,189,375,178,580,064,331,107,476,706,847,997,241,382,886,
441,565,419,050,711,371,727,981,727,576,284,006,359,710,565,080,442,804,761,
398,426,854,636,984,586,245,448,300,907,722,856,434,119,563,119,102,731,488,
363,981,982,944,567,293,303,186,495,156,729,730,615,055,227,603,849,378,803,
877,536,543,445,606,357,496,784,466,525,716,129,542,657,811,352,183,340,772,
840,775,016,335,476,370,013,882,651,980,988,202,643,741,125,075,312,972,246,
428,734,808,634,539,670,421,121,210,473,025,028,200,501,139,178,895,887,256,
610,985,191,051,667,396,970,374,923,371,060,999,457,929,716,104,458,436,941,
638,922,796,325,188,944,202,506,519,357,291,812,977,404,280,046,659,042,369,
424,368,082,855,924,833,151,970,236,678,697,553,885,311,241,933,980,562,512,
099,265,380,626,948,176,773,755,097,241,345,999,242,554,230,999,387,713,040,
016,035,827,052,057,429,621,687,165,033,463,977,259,464,251,868,883,196,725,
781,351,264,722,059,016,878,108,719,633,601,066,259,899,942,157,206,086,142,
439,454,438,371,905,145,764,201,084,299,770,491,562,233,878,100,890,519,118,
076,838,498,925,780,789,917,802,456,281,582,640,583,107,740,916,719,740,804,
409,453,821,534,617,840,264,839,833,154,639,169,546,868,833,246,422,071,790,
620,259,098,329,342,341,629,714,765,353,619,652,364,744,593,559,766,208,907,
625,593,340,869,061,045,433,895,137,407,983,575,209,776,921,295,796,648,611,
874,388,041,908,619,057,034,910,122,725,502,809,254,242,110,975,778,822,139,
039,606,877,659,728,970,972,876,854,846,490,294,336,377,414,848,397,849,855,
961,652,811,319,769,197,364,417,968,294,291,590,526,775,820,835,833,095,245,
011,087,430,556,384,685,183,350,888,506,951,918,660,284,666,914,210,185,227,
874,136,881,144,731,526,916,352,046,620,682,559,016,160,119,423,306,168,161,
416,665,916,643,945,556,536,680,740,809,909,041,202,869,258,264,387,827,749,
939,011,035,205,352,956,591,495,939,854,308,827,858,969,085,328,505,066,777,
800,923,322,816,374,052,526,311,189,611,523,477,032,324,679,208,513,302,039,
972,530,714,389,956,345,112,220,762,775,379,131,147,642,594,229,359,464,656,
190,345,359,036,530,658,272,656,229,609,164,087,802,012,252,319,906,231,059,
564,248,538,750,552,708,309,856,875,846,780,982,376,020,349,165,470,393,489,
723,943,133,829,501,653,674,320,347,213,204,378,097,080,443,237,777,155,519,
656,421,453,669,907,948,317,212,627,301,166,912,506,838,087,523,038,939,312,
346,502,851,664,113,441,496,359,709,495,728,474,194,854,165,018,361,982,049,
291,516,204,122,749,726,460,080,973,765,634,342,118,439,185,163,672,017,488,
076,798,946,508,594,765,081,909,211,841,513,435,283,647,774,148,361,535,666,
495,026,440,215,902,662,260,879,157,648,293,841,572,211,709,834,439,962,554,
330,411,617,084,237,162,970,619,427,223,587,557,966,915,723,698,389,148,626,
893,067,289,873,169,591,786,663,874,243,376,890,998,964,274,486,653,357,785,
477,726,094,321,263,831,843,381,296,362,448,415,007,040,853,312,083,935,439,
244,888,422,187,428,140,544,449,821,403,320,153,117,220,837,740,533,727,868,
526,372,941,479,158,321,666,714,750,727,243,412,901,448,767,492,682,114,904,
665,162,006,444,073,758,255,888,813,050,797,120,480,854,925,851,058,040,813,
413,287,770,079,106,634,739,876,775,102,146,130,871,022,300,055,464,865,228,
112,722,429,865,136,559,977,271,182,882,791,600,890,057,744,751,172,936,081,
277,529,292,102,461,581,834,208,248,927,448,203,633,614,581,124,409,682,232,
997,768,418,280,023,943,016,802,670,215,124,036,813,149,709,936,410,516,449,
991,398,928,679,107,977,323,061,630,113,003,974,930,512,887,754,608,612,714,
412,265,587,388,707,779,301,760,006,743,065,392,167,191,922,427,071,566,289,
563,571,462,044,208,585,364,645,588,375,133,153,924,297,161,357,772,628,356,
216,239,950,420,025,783,825,003,556,512,150,309,538,705,146,466,637,814,609,
071,941,312,329,816,885,810,072,041,628,587,418,082,079,057,191,803,642,067,
710,694,042,211,889,268,909,591,834,981,799,318,627,610,252,477,718,606,612,
208,065,901,540,835,172,127,682,866,452,147,186,523,464,579,283,589,476,077,
205,462,502,597,637,509,763,150,634,297,587,719,058,200,443,311,768,880,494,
198,144,572,246,313,084,944,879,952,162,915,791,814,742,757,927,690,580,069,
882,709,629,123,063,264,973,858,470,966,648,910,638,490,230,136,906,239,952,
244,839,906,250,282,423,269,262,484,005,932,576,594,624,747,384,034,928,313,
856,476,135,503,920,131,758,225,092,629,827,858,795,268,731,188,776,674,816,
164,445,012,470,809,460,043,599,462,158,619,536,052,217,655,393,348,732,772,
866,278,511,426,549,231,049,783,853,318,030,791,576,794,755,333,771,713,107,
165,437,591,266,107,371,461,527,832,600,693,638,285,780,309,874,861,161,362,
387,778,933,214,063,736,064,216,674,572,619,410,178,343,435,517,990,932,220,
678,015,186,228,699,314,906,322,077,918,082,329,400,401,102,905,350,128,311,
059,884,862,013,697,720,436,919,870,269,322,221,280,427,693,646,506,034,837,
663,296,412,438,339,266,936,668,815,823,536,636,269,992,696,527,377,305,273,
406,640,422,678,124,973,068,028,414,030,010,225,624,108,723,684,496,277,235,
802,328,723,379,934,530,604,509,656,082,938,935,925,959,338,738,848,464,404,
384,036,675,223,060,777,702,130,344,292,576,406,956,636,768,832,175,689,529,
817,369,718,203,054,400,016,377,858,702,058,005,736,812,275,846,917,227,744,
801,878,997,405,416,186,284,945,153,521,664,484,682,432,468,316,499,260,263,
788,996,092,545,847,355,312,620,965,405,737,671,779,754,343,577,898,089,689,
070,946,281,713,655,120,703,829,824,647,911,785,311,077,798,018,963,454,539,
878,569,877,635,126,719,177,538,327,899,959,193,472,137,730,659,001,670,720,
411,293,405,602,507,781,038,950,655,936,115,188,457,446,087,427,085,375,735,
528,462,142,334,811,584,916,019,636,402,545,014,011,657,963,546,223,672,792,
787,480,865,938,826,624,188,241,019,701,187,993,911,880,644,535,068,080,142,
751,217,589,026,984,511,505,238,144,770,995,073,113,644,385,172,910,271,619,
520,982,418,673,422,257,224,431,928,958,411,318,605,232,390,935,011,747,819,
232,172,084,095,143,336,832,324,337,825,816,503,638,294,851,383,380,887,383,
046,017,688,275,149,595,655,208,100,329,802,691,716,124,542,797,476,673,871,
442,092,905,318,797,096,597,972,279,936,375,998,918,687,431,574,109,283,279,
327,886,110,429,308,390,754,547,080,492,613,910,620,150,761,960,592,327,369,
369,087,489,188,667,923,243,338,958,374,269,801,139,398,051,876,788,998,472,
849,329,051,195,662,302,413,430,094,948,838,241,111,955,039,273,806,294,957,
947,365,654,026,319,031,288,947,955,148,325,364,712,689,989,407,591,551,161,
011,590,444,284,808,534,267,759,935,791,066,704,257,503,825,837,113,129,248,
616,748,149,563,771,939,985,601,939,276,973,903,638,004,249,905,112,773,582,
414,939,350,079,234,440,217,571,447,172,623,897,420,117,112,823,341,129,426,
161,444,435,391,357,040,166,405,970,559,390,158,720,021,394,032,713,370,153,
345,043,299,056,576,333,422,441,177,370,929,996,344,237,515,462,374,865,296,
537,250,744,292,828,882,353,601,071,198,753,114,738,293,559,383,921,487,525,
875,706,486,427,121,783,046,119,742,069,981,825,275,867,195,897,724,678,691,
783,384,885,380,944,542,239,625,462,426,379,203,860,465,408,447,837,437,677,
532,669,465,793,475,874,545,385,447,280,088,072,347,933,504,703,082,094,707,
110,471,166,177,060,307,666,695,777,435,069,546,553,258,137,586,528,524,560,
035,418,054,234,987,792,269,455,261,694,693,890,944,204,187,272,114,110,240,
059,685,397,826,035,183,658,594,593,001,827,703,589,359,727,491,449,235,897,
035,195,042,251,045,682,469,809,177,546,023,774,903,841,316,356,520,717,299,
275,849,593,399,476,995,526,998,647,607,684,423,494,620,265,788,582,839,295,
304,617,110,438,307,915,750,588,293,464,532,973,199,104,833,561,312,323,928,
134,119,163,768,303,886,454,460,100,559,432,438,160,624,629,558,194,825,058,
720,416,975,788,024,708,152,209,635,872,355,765,904,938,059,834,918,867,270,
632,456,193,597,196,820,542,594,788,947,984,949,603,016,776,835,058,365,889,
161,423,245,235,000,845,129,400,990,330,304,802,661,883,980,779,160,665,509,
297,591,040,826,661,514,184,755,623,906,659,573,956,617,850,005,480,895,434,
462,846,973,202,830,425,194,580,894,612,891,372,000,407,935,934,926,890,842,
979,536,370,439,931,349,941,167,884,221,027,142,261,237,519,297,471,824,055,
267,777,394,360,429,139,311,718,586,885,480,244,328,164,754,750,834,304,058,
767,511,353,527,620,053,948,863,415,015,303,578,363,898,415,150,729,397,290,
441,361,815,164,659,864,757,966,435,269,387,603,115,177,309,408,977,286,412,
180,375,286,060,991,931,588,810,854,852,697,386,697,695,331,113,844,675,678,
722,867,180,246,974,137,470,720,999,424,166,879,915,519,651,830,312,721,450,
239,033,677,567,620,145,065,704,557,295,923,955,381,182,452,900,105,950,140,
865,100,587,453,090,757,985,560,851,411,085,998,167,834,761,727,516,102,728,
090,860,720,481,485,124,385,954,850,777,115,376,540,524,378,892,827,734,793,
782,882,720,341,574,560,469,835,459,564,642,519,129,296,522,477,611,651,765,
962,945,354,664,157,248,017,030,011,707,375,115,900,973,276,735,588,369,406,
713,174,838,160,148,970,694,020,564,119,893,051,697,313,694,289,389,569,826,
153,960,809,692,410,797,662,528,773,986,512,952,717,055,928,700,862,549,911,
020,653,907,686,221,239,977,658,659,116,389,689,956,810,277,203,044,549,466,
679,686,047,251,881,842,831,216,965,272,101,446,849,909,722,846,070,742,778,
192,055,292,269,619,947,405,174,660,806,864,672,602,081,592,703,611,287,022,
372,655,841,529,446,819,213,724,093,131,256,981,068,138,335,335,122,718,136,
637,322,010,087,874,492,457,643,557,482,611,770,271,004,836,125,947,768,491,
295,974,707,091,380,486,600,445,825,158,126,036,544,031,641,835,490,850,980,
071,993,728,115,999,269,218,150,854,603,458,097,512,051,207,184,524,576,906,
101,385,244,881,849,832,720,334,382,140,140,817,821,202,957,884,928,979,908,
805,501,040,328,274,634,302,463,399,772,286,344,849,815,501,948,086,233,619,
980,992,341,843,206,973,761,092,435,130,971,683,644,953,054,916,359,155,153,
168,079,811,873,208,090,551,005,211,950,488,505,265,599,128,929,540,185,671,
514,430,873,729,942,833,270,672,763,304,456,322,092,379,414,779,781,252,975,
779,279,633,935,776,339,294,318,389,579,285,495,368,472,232,208,092,992,426,
414,307,686,254,485,510,114,811,786,320,923,382,273,103,869,059,913,004,130,
937,137,060,548,731,312,656,107,815,861,056,775,106,123,521,185,900,525,743,
968,536,262,098,652,905,790,826,501,721,185,269,413,564,683,684,834,515,475,
031,000,359,729,875,724,267,323,366,902,630,578,850,517,209,326,448,044,794,
315,879,105,822,811,204,323,602,129,188,136,004,984,022,978,256,139,301,525,
217,769,878,210,913,524,916,291,577,783,890,388,052,920,489,207,120,558,761,
709,869,057,208,655,786,447,005,827,859,045,024,295,777,980,617,189,223,234,
138,968,855,053,589,809,052,623,864,216,282,182,274,868,915,064,641,935,629,
402,704,904,216,891,584,103,102,876,923,541,812,838,215,537,705,049,018,822,
886,564,006,241,284,756,818,449,340,249,651,217,754,275,929,697,846,439,928,
304,804,968,475,614,019,227,884,632,196,386,750,933,336,707,315,117,868,515,
681,385,470,269,671,729,069,125,616,226,157,105,875,151,936,678,963,623,635,
689,140,835,301,029,762,239,770,197,123,068,281,389,935,159,793,180,090,371,
096,562,916,006,272,026,633,028,488,375,785,564,646,957,677,434,246,267,544,
268,279,337,561,436,200,207,176,107,008,391,088,398,432,563,059,323,489,955,
509,579,970,421,711,042,088,163,675,596,409,904,800,279,109,996,291,076,976,
666,162,326,594,667,754,491,576,995,914,924,818,799,769,709,442,546,779,929,
351,698,063,850,639,809,159,397,662,110,427,833,491,737,043,292,056,458,696,
578,559,303,388,107,037,058,091,442,013,225,831,679,064,764,145,805,303,246,
318,298,841,425,683,432,778,790,350,191,444,638,330,931,165,918,841,719,255,
870,134,738,465,500,215,943,128,943,842,084,758,924,310,811,761,208,315,155,
265,559,724,077,876,362,347,645,814,002,191,740,042,100,563,768,641,869,220,
167,166,142,529,248,859,439,378,591,941,660,081,688,212,931,458,388,505,466,
678,795,725,819,196,502,870,383,250,892,932,939,116,583,988,272,749,552,210,
328,828,893,372,192,812,981,208,791,509,522,473,570,459,047,845,177,115,047,
120,563,413,495,896,126,273,531,853,799,578,586,330,799,194,145,648,800,587,
285,463,455,738,649,831,253,195,949,539,425,917,567,312,665,683,578,808,132,
913,354,890,244,558,108,636,061,203,438,020,190,692,969,900,866,637,144,670,
883,289,875,656,481,552,241,723,539,359,576,416,732,607,055,454,040,150,012,
498,735,383,079,078,068,640,924,861,057,960,647,233,907,655,628,071,894,998,
161,834,233,988,681,065,473,391,748,180,947,341,888,421,683,285,968,635,220,
437,130,158,981,080,155,007,969,149,292,962,924,816,771,240,184,373,747,892,
173,306,199,961,574,650,607,028,601,166,759,890,186,722,916,239,509,713,842,
668,756,377,116,258,859,948,492,822,399,486,062,588,462,444,825,176,443,822,
221,065,123,881,944,083,507,331,161,913,441,156,887,565,300,795,103,121,116,
061,625,242,458,345,544,710,833,910,054,205,303,143,573,723,252,588,744,277,
371,960,295,619,635,159,095,798,185,304,181,373,567,009,986,787,263,731,376,
608,969,004,650,596,927,852,515,337,210,806,152,593,143,124,474,213,520,568,
435,190,715,937,051,509,667,982,148,042,997,326,429,948,761,671,247,393,423,
954,321,287,024,537,973,107,365,305,830,718,460,998,540,005,285,231,837,117,
399,141,220,647,557,938,690,579,694,186,505,663,261,049,970,665,710,347,495,
001,167,804,677,763,519,047,823,475,654,318,523,145,265,518,287,204,339,750,
586,472,998,945,386,216,738,974,131,713,063,666,016,273,207,924,321,273,223,
248,405,272,570,653,318,279,687,881,301,190,344,136,047,948,613,051,418,404,
880,169,315,447,727,580,250,046,692,085,132,345,750,972,496,420,822,869,680,
098,309,120,648,280,867,354,821,519,017,832,795,546,316,335,931,085,324,068,
085,242,007,920,372,654,050,270,736,365,652,458,584,411,072,098,908,806,499,
581,403,702,204,654,868,964,588,691,591,155,718,080,172,850,051,200,032,871,
977,031,903,784,520,532,775,631,200,001,238,514,152,199,765,673,982,113,837,
654,749,960,846,930,779,956,489,169,952,606,218,099,740,191,539,447,260,969,
861,531,290,825,104,637,296,619,456,022,125,117,056,320,131,824,180,870,255,
085,300,903,024,372,768,232,547,806,319,035,163,099,521,671,093,777,916,187,
954,778,957,159,670,878,272,686,533,601,061,136,157,197,468,864,625,543,081,
138,940,003,126,059,911,747,867,939,794,680,632,905,603,791,330,377,503,063,
211,584,308,692,734,296,244,524,016,748,743,996,024,100,712,384,990,863,627,
691,954,411,379,762,229,688,166,397,245,193,417,516,508,565,979,057,133,411,
794,984,800,335,787,895,748,312,187,033,700,062,190,810,144,501,649,272,501,
078,028,104,845,671,588,149,424,456,344,383,826,982,860,839,562,670,953,930,
397,107,608,098,884,319,523,958,060,672,534,228,042,254,715,621,834,059,513,
359,415,383,454,295,128,389,082,390,687,404,686,098,238,100,952,399,939,149,
104,730,198,128,774,732,241,882,980,722,471,238,109,556,606,912,144,753,748,
213,644,861,615,825,576,973,102,754,792,453,130,277,154,967,197,851,115,770,
941,280,789,199,489,105,700,026,346,154,783,257,517,241,533,433,881,585,893,
122,554,722,088,372,419,701,703,010,974,042,132,938,703,982,097,478,642,480,
450,218,205,333,412,070,286,745,363,464,851,339,257,110,193,373,662,680,156,
264,723,247,965,891,833,668,251,838,892,821,765,748,099,019,410,034,079,887,
435,053,141,791,500,515,814,758,363,932,899,919,176,140,613,305,657,969,908,
646,186,201,572,682,879,646,070,813,490,631,709,768,828,668,053,804,591,784,
878,210,850,519,439,221,607,013,084,472,319,766,031,933,634,241,579,387,426,
147,077,665,260,752,280,201,613,664,334,382,184,023,913,764,312,904,268,458,
765,872,236,398,254,627,838,189,696,774,266,817,129,339,370,178,976,905,672,
333,678,819,960,263,419,532,666,007,601,078,389,141,613,847,334,016,733,135,
153,980,326,714,969,644,048,810,778,564,118,970,688,748,719,254,152,055,825,
909,318,463,675,559,435,337,305,651,675,009,544,939,312,556,062,372,395,607,
128,682,936,666,403,372,480,979,031,237,597,882,632,733,241,459,246,271,898,
240,047,514,310,773,128,337,902,461,950,320,821,510,174,091,623,703,845,264,
996,956,235,588,938,323,614,995,763,770,154,227,665,900,184,441,585,767,549,
770,683,423,844,699,233,034,023,239,297,936,959,946,369,496,407,631,494,389,
969,933,270,134,207,107,329,467,594,720,216,483,242,390,217,858,768,322,899,
396,129,858,009,229,561,021,660,797,972,718,822,330,753,913,716,374,681,222,
267,378,502,794,944,424,239,263,246,050,963,419,977,075,064,632,562,556,312,
337,689,859,435,264,450,172,660,504,224,787,803,538,771,141,615,406,371,287,
276,016,528,248,189,000,378,688,417,756,785,313,303,677,180,994,707,837,374,
827,286,367,496,921,816,873,638,538,142,410,965,454,370,471,967,425,848,538,
410,327,416,787,582,989,626,880,180,950,566,482,928,541,141,310,574,199,755,
826,584,345,462,690,974,516,270,781,096,462,745,310,174,039,608,569,862,717,
332,922,434,106,197,595,581,681,695,976,284,778,247,840,342,958,237,280,984,
095,678,342,571,006,745,627,205,422,232,284,453,062,680,085,853,103,898,459,
239,464,406,621,655,667,789,447,489,208,459,721,862,576,052,987,704,420,887,
058,284,715,315,329,724,441,283,004,066,632,174,316,477,674,870,361,080,486,
966,751,440,743,071,685,885,480,089,590,324,474,554,117,307,822,862,502,237,
597,898,053,289,556,621,028,435,444,163,731,652,781,371,148,216,884,422,321,
756,990,135,994,936,493,233,935,657,811,876,873,867,285,093,360,530,554,660,
027,354,496,806,193,415,756,203,689,819,809,617,912,408,069,686,042,991,413,
216,171,227,982,754,855,469,928,274,611,280,685,996,888,889,628,368,416,295,
288,282,024,515,319,625,529,732,088,143,608,070,717,436,339,488,917,638,040,
291,552,480,849,677,603,160,218,960,196,038,704,593,809,662,217,483,774,737,
070,973,604,219,958,280,746,135,027,995,357,537,543,438,938,759,688,608,452,
903,507,693,962,442,312,909,713,721,452,908,034,483,213,151,376,570,838,061,
247,596,110,211,595,136,539,123,705,746,046,611,851,788,461,261,233,361,340,
737,434,895,623,298,887,253,127,219,432,489,914,750,459,449,650,811,293,709,
156,337,435,381,069,958,323,034,813,038,221,743,999,472,753,349,321,135,890,
486,025,063,492,488,535,472,456,326,787,320,055,144,163,459,449,836,374,845,
408,515,988,012,911,629,028,334,265,676,945,056,516,623,577,189,904,592,277,
638,181,181,803,763,713,130,514,340,761,793,909,926,825,282,484,922,578,606,
122,300,867,560,523,835,659,102,194,782,136,772,741,783,976,955,406,409,128,
509,282,220,380,554,505,517,597,373,598,398,923,193,435,513,175,769,290,485,
799,010,760,426,558,595,306,203,512,003,507,323,654,794,878,161,407,069,487,
497,497,334,688,461,703,297,294,733,005,097,617,266,593,018,979,686,342,997,
559,075,655,892,456,257,357,355,881,414,634,059,833,334,801,219,371,449,919,
105,560,924,828,195,764,017,198,021,205,410,990,940,415,221,233,580,648,415,
074,139,042,309,899,212,797,853,632,565,579,294,047,402,085,993,291,460,601,
816,641,659,330,560,790,028,403,512,732,464,437,351,628,784,627,273,638,107,
465,050,691,741,234,343,049,246,808,196,301,686,718,076,824,138,046,229,513,
981,070,395,739,461,325,565,022,742,246,556,992,760,243,814,957,760,973,057,
519,834,371,940,931,069,311,219,206,209,020,361,553,103,809,117,681,266,436,
051,334,035,249,733,328,079,490,261,783,262,425,222,984,806,595,058,167,232,
492,536,466,751,859,730,501,029,917,321,004,994,785,265,892,685,787,800,798,
987,463,803,514,493,015,591,251,416,919,014,578,843,541,350,921,640,796,438,
392,024,449,186,738,957,369,006,089,383,393,111,701,319,868,565,394,184,649,
929,647,756,065,468,062,965,884,866,347,745,933,894,535,708,285,563,795,334,
082,433,411,513,743,382,716,726,356,686,350,893,334,501,637,315,266,934,567,
962,835,491,420,223,981,524,273,493,032,518,321,813,977,269,702,883,753,402,
657,192,713,703,031,002,537,132,425,697,668,475,405,879,147,562,495,912,292,
538,347,899,761,927,700,390,922,764,377,267,485,384,232,676,514,038,816,768,
784,007,945,433,299,224,500,398,247,992,768,835,206,040,215,183,880,521,292,
992,107,678,977,131,847,784,316,368,032,631,850,743,954,078,271,841,593,325,
944,867,309,144,774,478,008,418,481,316,508,386,880,115,178,960,693,319,088,
618,013,320,063,796,768,670,780,933,494,792,921,496,584,748,987,717,339,667,
684,768,434,521,054,275,408,141,570,179,190,795,520,231,377,837,026,519,272,
459,927,870,106,262,042,809,211,241,415,259,668,364,464,840,963,494,911,008,
191,154,276,957,382,452,205,832,335,021,079,252,882,430,990,117,202,041,375,
080,379,457,616,947,228,712,340,699,330,431,136,189,161,396,644,216,524,871,
821,305,471,586,874,955,231,911,686,960,770,402,496,381,806,811,734,074,354,
529,053,915,129,704,292,438,436,092,045,688,830,077,899,462,980,727,807,915,
499,910,955,437,406,534,541,043,650,387,302,529,550,756,177,150,313,647,716,
071,300,531,857,504,616,016,123,156,225,111,129,864,678,446,339,834,939,916,
754,157,899,826,175,713,499,810,231,672,722,729,945,827,635,922,961,121,368,
124,437,708,707,870,135,996,138,926,578,875,028,441,646,690,770,257,977,099,
784,472,711,359,680,463,153,800,676,348,238,877,669,326,678,550,879,667,482,
109,829,112,260,893,187,817,537,906,002,095,328,788,327,481,057,500,310,579,
366,073,814,398,466,473,933,833,124,907,350,591,575,029,452,379,663,597,120,
988,069,151,416,499,030,851,656,974,492,464,793,140,062,984,456,064,080,438,
605,596,755,819,380,261,700,426,526,755,772,105,357,646,226,976,049,998,164,
509,908,913,774,056,032,590,390,986,339,497,346,352,389,718,462,536,722,930,
546,106,597,891,596,753,610,495,122,935,870,374,025,600,186,767,626,625,928,
946,465,046,920,178,062,382,658,257,148,594,579,757,410,048,554,035,155,428,
058,839,447,840,207,774,129,755,605,593,039,977,251,786,863,953,089,634,932,
507,459,341,526,040,900,392,129,808,309,405,268,322,522,936,382,969,945,993,
283,464,890,119,838,392,999,474,170,795,734,802,036,403,056,579,828,374,640,
595,827,234,990,147,850,492,331,054,918,503,854,860,031,052,063,786,891,814,
703,197,910,063,601,474,569,923,927,449,402,020,295,507,769,929,437,479,018,
814,977,119,413,612,990,831,151,909,003,722,691,131,123,488,210,288,565,660,
850,036,429,144,975,486,596,949,192,132,967,040,271,732,519,635,879,788,829,
191,931,817,505,349,152,273,716,007,201,271,942,487,126,039,380,594,853,975,
333,657,992,572,917,983,776,780,355,888,325,617,842,394,335,188,931,897,922,
962,439,817,994,932,103,143,178,905,241,614,506,921,189,513,015,330,039,052,
914,990,076,732,440,610,456,217,338,989,371,151,294,841,342,156,898,264,276,
657,708,481,880,207,609,239,465,823,665,860,319,398,091,355,897,245,927,889,
157,054,744,789,307,529,593,489,560,800,480,349,760,896,584,506,242,548,314,
729,481,014,142,066,422,367,493,939,069,710,167,278,541,487,416,072,895,132,
250,355,936,519,346,777,826,685,260,985,199,081,914,711,192,305,686,967,430,
071,174,547,041,864,652,728,143,356,797,071,264,341,095,219,298,480,993,906,
398,756,876,408,908,720,870,653,673,366,615,787,320,652,828,468,710,115,474,
303,295,175,468,875,625,051,783,074,009,983,408,078,467,131,847,230,714,320,
855,929,268,164,388,583,365,324,104,232,875,625,300,931,527,272,755,308,142,
981,473,010,878,587,229,792,949,727,074,295,149,170,302,479,401,736,334,530,
394,651,028,274,170,398,553,275,071,256,528,134,665,999,730,831,849,914,906,
790,650,258,890,046,124,012,654,375,934,892,571,247,444,847,822,801,535,324,
413,236,647,934,449,764,955,385,713,323,857,174,501,850,274,646,396,334,979,
349,667,574,943,115,534,403,729,763,192,025,891,659,028,168,758,327,443,529,
196,531,509,962,164,598,447,268,996,180,032,099,104,095,239,593,265,931,981,
306,805,304,690,117,241,925,068,386,107,477,240,690,486,793,601,710,392,141,
127,171,859,679,508,796,047,538,111,715,228,630,143,605,048,532,764,349,038,
533,519,242,815,250,424,370,140,987,273,643,617,756,594,083,779,078,069,837,
011,467,980,681,572,206,376,212,141,589,624,129,626,212,091,890,408,912,954,
347,370,647,547,533,143,804,080,717,026,515,399,318,766,719,950,790,332,874,
557,710,679,784,222,886,141,928,449,309,444,645,572,773,135,708,587,724,107,
460,678,666,050,199,362,044,374,505,801,019,496,179,275,507,460,434,457,489,
778,003,243,931,211,113,974,545,269,029,054,846,893,118,424,095,525,677,521,
481,035,312,894,100,374,116,624,513,850,865,510,778,389,550,098,521,344,851,
905,110,655,477,291,398,172,850,535,515,227,020,845,808,241,366,796,198,107,
004,032,744,635,078,804,503,646,634,337,308,269,517,952,731,419,988,637,193,
840,895,936,244,428,127,538,486,042,945,285,371,505,928,290,992,836,626,974,
534,575,184,737,089,692,255,632,393,569,668,170,254,810,019,958,887,979,285,
893,858,559,302,068,544,948,706,167,694,493,947,081,888,504,402,926,968,327,
256,414,865,746,881,023,564,332,747,403,352,725,811,919,383,724,516,456,671,
579,753,620,214,940,400,295,304,421,017,571,246,106,072,485,711,930,041,533,
684,593,078,529,366,641,184,523,764,038,543,247,218,245,994,046,849,687,558,
194,664,536,821,472,318,382,128,687,779,360,062,468,165,135,350,048,791,796,
834,993,073,455,302,736,315,070,652,379,399,882,383,115,469,627,125,943,327,
590,277,549,176,826,845,941,005,781,146,699,514,956,870,320,268,756,461,602,
555,041,939,529,175,077,689,054,436,457,804,830,692,570,518,826,456,110,154,
925,091,877,993,022,501,369,906,974,326,289,071,668,623,511,844,345,400,674,
021,127,354,799,407,092,963,679,330,909,723,537,239,770,007,413,218,103,927,
802,332,371,883,853,699,641,009,811,075,511,379,692,913,754,960,453,480,944,
949,223,466,205,686,628,501,159,255,215,083,062,781,183,053,331,599,972,759,
419,498,328,825,773,796,305,299,096,573,945,713,224,167,924,608,387,750,254,
704,529,494,786,400,620,842,520,138,914,472,619,617,140,065,515,328,888,128,
046,566,478,546,753,052,242,558,935,688,621,947,081,198,312,360,900,735,016,
565,048,781,560,013,445,683,773,383,088,604,620,987,357,934,302,591,123,458,
611,965,142,722,751,880,473,840,839,614,192,186,846,210,626,112,557,990,905,
081,155,433,454,723,621,970,710,551,002,053,290,333,233,883,065,397,095,695,
406,791,037,243,213,850,767,363,347,455,529,841,334,831,369,298,062,791,552,
124,192,254,428,116,424,979,138,456,774,523,522,974,965,910,532,305,947,156,
574,642,412,654,420,313,825,307,241,544,506,410,939,338,812,561,814,538,235,
527,070,591,342,707,311,110,275,289,150,811,255,222,749,492,656,439,853,383,
238,709,495,826,422,343,907,178,250,959,556,786,912,336,443,905,235,357,828,
464,759,300,644,259,425,018,232,558,437,128,440,652,246,357,838,182,226,847,
328,360,695,770,844,679,332,284,286,226,360,189,224,907,033,356,266,621,708,
624,730,684,451,541,351,253,497,660,976,462,855,393,472,849,545,366,089,595,
279,040,443,092,450,367,656,706,178,009,503,496,704,429,217,510,655,313,920,
451,510,838,927,820,471,539,047,803,156,861,047,315,885,501,035,117,951,577,
639,565,479,702,150,480,994,370,648,197,596,784,999,323,073,825,970,488,331,
155,089,599,121,496,909,500,460,695,083,841,786,425,905,761,126,836,887,351,
903,769,329,083,213,717,124,905,579,493,795,591,210,723,932,435,655,332,667,
553,459,952,446,227,227,924,901,084,758,770,330,336,089,087,316,681,789,353,
814,433,091,247,119,140,325,325,620,298,673,220,179,280,544,674,917,906,599,
961,219,887,031,251,938,438,787,216,852,138,456,689,776,500,464,811,967,068,
960,998,734,854,595,662,073,604,384,700,547,905,392,474,336,362,376,957,625,
638,219,517,492,253,899,213,705,183,504,578,759,277,040,145,328,723,901,923,
191,829,139,593,059,550,433,238,032,141,526,507,453,116,001,427,829,413,459,
705,567,648,169,676,008,144,376,232,527,799,191,098,843,260,825,672,784,963,
034,216,248,767,706,862,395,343,673,217,845,104,606,269,882,314,867,009,216,
866,574,928,993,242,548,442,691,787,226,242,970,438,115,910,338,969,289,201,
755,464,899,308,436,137,590,142,668,217,691,432,618,581,497,331,385,356,896,
855,452,218,402,139,383,296,685,885,196,456,664,585,572,860,878,215,975,702,
368,687,910,143,385,556,720,821,886,398,520,230,638,295,632,071,027,819,545,
455,342,865,129,469,368,766,992,358,940,124,306,248,188,112,490,457,505,690,
658,716,312,698,269,934,468,994,007,387,663,465,147,268,516,820,862,029,964,
529,193,205,315,072,371,385,921,457,259,183,925,282,144,997,683,787,831,847,
477,060,017,015,329,067,064,394,697,080,100,943,490,819,882,852,568,538,275,
110,074,855,483,732,276,645,340,669,001,037,578,049,104,594,714,781,661,269,
495,617,153,752,004,514,863,327,473,964,566,641,600,430,355,890,590,124,179,
769,033,957,711,697,543,844,756,892,269,459,751,311,322,109,746,112,129,971,
894,554,024,539,151,298,216,810,923,231,563,527,966,547,136,804,616,964,832,
380,124,419,387,462,396,629,966,658,011,850,721,923,381,354,977,713,778,426,
291,094,174,232,214,446,884,370,788,654,197,441,848,579,551,229,054,596,052,
512,840,507,600,689,844,009,317,388,636,605,508,174,067,957,205,847,697,463,
017,120,647,913,768,692,213,747,238,356,386,258,716,198,125,161,019,944,021,
840,740,838,580,648,063,244,686,060,246,515,112,735,339,713,483,192,571,925,
302,972,556,001,724,024,687,282,299,524,822,040,070,522,619,502,457,366,233,
462,571,880,555,629,626,576,578,385,206,058,966,279,620,628,221,598,331,886,
154,201,864,578,934,761,775,281,572,088,261,807,441,389,055,415,470,507,430,
702,555,733,709,744,239,995,211,659,412,079,289,102,589,750,772,496,440,921,
067,481,378,002,424,823,709,158,912,524,922,091,753,312,046,803,647,149,355,
461,538,081,055,824,171,567,034,236,880,024,847,383,940,003,145,362,286,555,
470,260,316,956,209,118,287,310,395,647,296,496,118,542,902,255,734,709,168,
502,952,229,235,299,136,172,044,745,614,198,972,460,660,022,553,100,847,235,
892,675,389,014,754,473,237,833,544,599,845,879,741,558,047,286,082,816,152,
218,067,925,179,707,403,162,220,399,378,027,909,715,714,184,632,236,134,370,
062,166,521,030,506,884,956,569,783,051,855,319,832,360,266,386,619,108,604,
083,819,685,673,720,683,124,027,135,974,238,392,322,945,514,073,166,594,861,
702,386,570,349,147,873,556,281,564,215,150,435,116,668,516,183,885,647,180,
851,372,462,124,071,962,076,164,828,393,696,188,420,822,199,125,435,108,054,
723,906,722,092,796,428,285,574,062,069,470,551,439,476,169,033,814,326,113,
388,054,998,891,336,521,153,608,788,197,794,515,981,876,033,389,059,732,831,
571,458,965,931,407,108,136,365,428,091,005,071,120,889,021,448,449,343,811,
561,301,341,419,047,902,578,071,668,952,469,376,986,337,833,936,597,691,643,
732,925,624,254,997,106,526,168,352,620,824,784,885,157,371,721,883,296,523,
852,061,373,733,062,809,438,687,267,605,588,763,406,413,299,907,695,682,492,
291,585,980,276,955,378,958,320,635,006,351,524,472,380,587,444,633,577,651,
064,325,880,148,261,398,230,520,309,493,492,800,660,443,757,507,626,093,319,
193,155,309,606,930,439,031,695,119,323,845,314,637,991,486,377,532,127,977,
217,142,848,536,991,864,641,708,212,695,139,436,990,179,736,304,635,390,836,
937,300,904,360,778,212,906,065,949,498,814,471,111,332,178,987,634,814,888,
720,609,861,060,359,088,548,928,334,113,111,378,804,622,143,187,480,006,810,
891,985,181,163,278,534,701,245,301,543,239,113,423,493,409,810,073,893,890,
457,017,753,823,481,602,555,762,160,830,250,680,444,246,751,783,532,515,700,
229,226,871,707,297,321,358,145,668,181,690,638,773,504,862,089,506,627,506,
919,138,889,628,678,621,562,191,795,077,970,282,700,672,354,946,718,146,538,
811,488,809,436,307,469,378,633,838,730,158,462,670,580,177,341,595,614,916,
355,734,522,480,372,083,921,531,567,147,884,486,288,691,816,085,757,846,307,
268,915,151,880,706,024,247,952,485,815,892,373,620,088,308,438,766,024,969,
678,130,756,869,330,459,673,141,163,903,005,209,161,125,112,012,418,849,590,
472,105,150,238,806,209,037,364,473,881,167,567,934,928,306,577,112,544,094,
017,949,047,810,350,554,165,087,617,304,582,718,231,574,096,656,032,234,610,
419,107,738,756,012,437,279,917,070,830,282,453,084,118,088,961,067,378,983,
441,549,817,942,988,074,254,783,898,734,091,108,420,268,003,627,427,800,280,
396,785,267,127,409,933,044,291,072,753,977,432,291,151,379,984,506,339,952,
393,756,004,520,533,281,392,456,048,023,036,398,240,375,726,172,778,605,475,
499,853,615,598,837,181,836,542,624,129,985,050,481,337,199,764,144,904,139,
571,502,743,771,123,230,901,683,698,905,716,779,187,156,169,581,268,229,613,
865,592,545,184,091,695,368,081,589,963,420,337,390,408,305,569,209,253,994,
627,628,719,411,385,021,720,657,259,159,725,662,578,176,558,587,186,571,757,
874,249,758,011,334,411,769,990,419,043,017,839,222,976,376,451,440,251,658,
167,221,178,316,223,835,054,786,600,955,389,637,765,953,284,424,152,179,310,
499,178,911,666,242,881,219,991,830,556,663,904,700,659,850,410,552,784,069,
949,900,438,268,232,267,942,190,515,547,221,235,674,611,151,341,999,911,013,
709,078,460,808,640,458,221,600,218,904,200,945,175,687,067,017,494,763,860,
783,495,395,492,076,040,361,590,769,014,687,838,680,230,415,463,626,967,843,
477,827,173,315,996,898,233,799,596,157,306,841,290,280,092,985,504,444,722,
881,693,583,452,053,384,367,028,623,481,440,021,112,031,702,085,213,599,930,
429,187,176,230,364,017,955,719,929,412,101,802,779,854,234,450,083,542,107,
221,829,509,843,187,424,815,203,774,200,967,261,472,684,978,428,377,027,336,
622,343,520,634,534,379,485,156,570,410,091,657,535,811,735,458,487,694,388,
392,614,446,588,522,910,663,519,529,733,608,922,401,493,883,695,124,059,906,
936,120,633,564,461,310,991,475,030,707,537,134,452,534,915,740,298,409,109,
560,908,179,393,250,034,457,793,647,535,996,608,120,553,020,139,281,651,080,
965,593,907,882,171,134,697,776,936,261,960,671,643,729,503,122,318,332,926,
102,241,472,302,347,327,126,440,514,985,220,804,375,940,616,711,338,416,475,
712,358,226,585,416,359,053,043,307,990,943,096,357,127,464,448,850,658,868,
162,531,463,782,236,414,979,062,901,830,936,341,295,147,970,922,721,993,009,
212,612,711,218,118,901,749,128,719,888,352,807,871,820,140,241,593,734,038,
882,113,728,557,144,158,485,070,362,391,913,550,199,275,958,195,021,988,276,
801,968,233,415,212,634,795,178,504,011,801,931,064,971,865,274,109,679,655,
140,764,343,127,351,221,953,605,135,504,710,385,242,974,260,138,822,875,068,
507,431,074,474,840,128,778,752,013,955,765,644,543,369,467,689,832,426,719,
175,114,293,639,907,866,291,930,344,797,889,883,711,082,813,550,997,943,468,
709,050,433,588,383,947,679,940,041,208,779,473,112,435,729,678,603,713,666,
202,996,628,290,217,464,718,664,514,608,377,548,496,961,372,500,549,514,110,
790,024,237,120,626,001,129,111,667,462,044,431,674,443,205,314,087,155,134,
815,354,771,638,002,632,832,200,914,127,692,798,634,451,855,900,871,580,396,
102,354,118,187,134,653,920,802,322,682,653,613,281,929,222,856,364,369,762,
220,885,476,048,699,445,703,478,742,563,323,424,384,869,766,459,646,911,524,
348,224,900,193,074,602,902,125,610,238,832,601,825,088,746,492,664,922,157,
041,866,708,504,944,287,229,986,448,051,505,813,987,562,151,535,063,331,744,
393,451,961,068,889,316,292,927,579,852,278,602,715,023,548,965,276,921,221,
061,840,077,972,944,575,458,659,747,948,881,218,621,602,625,013,054,445,991,
833,979,264,735,512,562,413,120,743,876,039,076,063,468,566,797,887,513,596,
763,830,749,974,471,007,090,862,719,027,972,060,661,507,335,555,711,098,790,
617,803,928,755,934,712,291,662,348,852,744,016,957,768,834,299,448,757,363,
059,713,962,565,225,813,450,706,785,319,154,774,651,388,124,010,077,415,090,
270,663,904,537,096,606,313,762,489,267,589,209,520,495,878,134,805,625,118,
638,756,740,423,986,652,691,880,231,147,643,316,252,363,783,044,622,355,278,
001,890,369,364,746,180,409,681,022,239,058,822,302,577,036,268,192,423,696,
651,567,246,793,145,431,929,741,396,306,000,849,939,461,704,745,105,419,923,
665,125,620,289,614,439,692,324,665,025,568,093,273,625,909,864,966,660,555,
095,735,343,251,573,254,619,767,520,204,993,566,856,190,545,042,370,090,404,
302,787,524,950,645,553,048,316,228,618,687,274,814,531,268,693,845,527,471,
540,272,473,961,241,806,143,245,711,634,484,720,063,915,794,391,438,360,201,
326,011,064,543,298,810,674,025,652,069,202,327,050,186,386,197,650,829,616,
285,509,487,031,537,848,657,662,431,566,534,902,188,569,695,450,211,751,216,
216,987,532,975,813,095,773,742,879,739,223,753,582,787,580,714,283,493,136,
676,705,630,344,192,078,077,669,420,650,375,444,521,692,909,453,669,410,971,
012,232,101,266,186,013,545,923,542,310,333,623,145,186,123,723,678,502,292,
747,167,915,702,807,812,680,539,064,585,587,360,024,498,845,834,357,888,187,
388,880,942,202,631,649,294,843,434,685,714,471,657,686,026,888,446,150,559,
808,564,546,703,680,016,596,843,766,784,902,454,058,335,422,067,428,578,485,
245,990,589,671,329,478,534,266,766,436,225,964,847,044,549,671,517,136,015,
468,758,369,915,121,078,753,024,847,010,016,576,578,582,519,898,098,399,056,
768,218,012,133,034,288,462,650,448,605,857,837,776,078,454,231,296,263,625,
839,203,388,791,289,874,214,582,153,864,198,878,999,436,141,635,699,313,300,
093,864,040,597,120,632,410,478,336,851,864,659,486,178,658,526,630,168,759,
947,108,413,058,864,004,349,409,200,414,717,600,628,469,568,948,162,497,055,
537,489,764,855,183,528,122,030,529,703,472,989,580,330,561,442,978,799,826,
777,145,327,886,539,583,590,291,502,308,158,171,702,641,385,512,468,781,804,
621,021,117,739,844,079,124,481,129,310,486,511,740,756,789,946,322,399,213,
527,862,928,128,953,842,607,301,854,901,118,999,067,386,356,040,668,892,223,
074,438,383,293,617,753,671,733,247,925,914,423,627,024,033,440,058,741,120,
097,853,545,617,471,733,374,451,402,283,679,506,812,531,342,553,687,311,125,
054,927,039,304,253,725,287,791,237,230,959,348,654,137,202,441,838,921,716,
309,875,671,481,725,826,652,504,155,151,993,077,499,463,267,319,091,493,690,
078,511,400,885,156,839,774,454,389,734,937,256,088,969,691,174,399,697,959,
515,432,579,519,443,742,813,505,482,490,756,239,477,444,981,762,260,026,356,
768,236,165,054,894,296,859,281,264,873,131,931,788,546,204,862,168,335,285,
850,462,679,821,030,605,854,126,669,710,159,843,294,566,205,696,013,792,496,
664,129,377,670,932,652,779,993,883,240,248,872,435,463,623,309,314,806,044,
360,607,551,925,029,589,996,466,119,109,696,204,881,011,438,475,699,616,521,
801,374,631,553,439,897,869,759,885,990,852,927,020,388,286,088,530,919,550,
397,203,454,085,161,860,401,159,122,423,577,780,263,500,320,190,936,375,468,
101,158,158,923,360,143,400,844,345,621,874,340,295,546,830,424,808,499,968,
824,191,329,019,820,472,438,239,382,239,599,635,181,815,995,828,615,179,045,
410,541,416,848,518,790,836,421,599,945,233,285,255,423,349,491,668,026,164,
516,494,445,066,910,096,997,962,370,146,791,165,474,538,561,777,241,363,092,
255,007,452,443,976,591,200,718,922,964,999,502,816,682,898,354,416,767,140,
378,173,762,015,028,171,510,664,369,315,441,437,870,681,191,326,779,909,836,
305,514,947,798,195,118,613,340,032,883,887,341,794,395,436,452,524,842,431,
922,656,573,082,801,290,513,175,417,669,006,533,520,677,898,821,640,091,498,
166,409,939,444,707,340,192,024,216,606,509,998,772,671,056,800,660,802,721,
997,844,407,086,040,449,566,590,046,141,791,459,216,004,968,413,016,091,679,
847,275,250,789,420,222,331,656,777,256,689,024,695,697,034,594,730,972,176,
218,004,398,459,152,971,334,975,367,086,026,730,328,733,650,633,804,508,090,
014,454,552,692,067,699,687,543,038,485,118,409,991,719,982,797,978,239,578,
334,582,035,696,268,455,888,905,723,604,288,047,399,785,691,785,313,026,160,
658,485,022,715,136,814,965,546,770,249,286,917,917,317,428,370,347,561,692,
447,693,195,572,843,215,136,909,301,742,351,852,611,454,998,937,594,159,466,
835,294,272,191,794,009,046,551,542,726,131,686,244,730,557,696,511,257,374,
280,884,442,345,162,894,342,749,384,801,402,135,058,393,458,627,125,922,196,
698,393,423,652,906,536,989,756,622,801,305,729,503,610,234,492,041,027,392,
412,737,469,360,117,119,865,619,334,735,465,485,685,299,921,363,724,240,894,
617,399,984,364,440,657,713,976,363,245,349,685,925,839,797,467,978,503,856,
206,451,795,324,331,396,117,060,441,728,001,074,668,336,814,252,539,378,709,
333,858,675,371,068,110,511,576,755,414,365,546,954,151,914,884,363,628,563,
378,999,250,051,006,368,099,128,151,657,769,527,664,212,586,627,770,912,676,
048,846,908,651,776,244,892,193,274,734,394,877,386,277,124,068,140,837,589,
539,043,251,557,664,464,924,954,481,556,731,538,785,831,838,063,678,702,228,
296,006,329,323,769,204,451,263,734,076,034,355,944,583,362,035,558,870,634,
475,676,095,125,603,270,379,264,369,438,559,984,961,836,212,041,752,742,127,
794,810,085,897,933,933,149,815,397,631,200,776,558,283,284,555,449,310,447,
285,839,046,704,655,046,731,946,706,244,325,621,746,906,696,232,781,913,445,
902,701,245,403,580,764,960,899,241,010,174,005,728,107,091,148,217,341,172,
316,400,280,816,215,536,071,118,146,414,591,930,821,438,834,682,452,114,483,
516,051,092,772,984,246,074,378,294,148,553,117,625,850,891,894,525,738,101,
770,608,435,568,970,929,556,649,468,037,350,949,539,436,766,568,363,502,712,
078,997,003,582,215,810,879,887,826,797,042,558,285,880,103,590,564,177,126,
746,133,272,582,927,927,429,979,228,720,275,747,766,014,498,227,345,131,932,
925,811,334,368,690,321,855,279,395,973,059,172,402,575,592,076,316,933,497,
248,441,268,597,312,235,318,817,660,439,296,052,927,218,145,796,987,448,936,
222,680,609,972,220,167,411,534,388,024,525,097,377,255,121,228,348,842,435,
632,260,696,950,576,125,527,251,701,868,952,072,472,300,764,080,290,817,278,
880,744,917,878,019,867,743,389,000,862,479,834,035,848,686,871,189,162,745,
868,010,878,888,666,971,228,328,541,206,325,719,012,344,287,133,542,499,683,
717,489,794,605,321,917,746,637,343,357,722,501,639,545,740,347,354,867,994,
538,296,096,731,194,562,389,953,587,535,838,515,781,467,146,035,722,826,586,
906,378,615,634,451,694,591,473,025,511,041,247,506,769,416,557,445,168,712,
529,855,338,353,822,046,721,359,221,372,871,463,375,203,115,250,356,152,207,
076,366,292,500,425,166,358,467,846,863,392,912,273,959,333,719,671,980,853,
647,975,581,936,657,536,075,149,682,169,191,356,639,978,447,845,748,747,173,
085,017,892,353,044,942,730,235,350,424,093,591,274,009,674,832,905,188,685,
254,200,394,263,056,641,041,167,635,952,168,371,507,897,038,364,597,551,144,
769,020,580,870,758,922,609,902,752,311,767,679,390,228,969,030,401,204,326,
399,874,778,054,511,272,948,787,721,909,883,122,846,296,254,988,637,024,818,
736,849,714,483,365,236,168,222,174,545,086,017,730,176,519,172,728,074,252,
259,906,426,542,876,415,387,887,954,739,435,622,426,418,995,319,885,424,213,
449,097,360,913,434,752,222,354,622,257,575,480,578,279,635,650,682,036,810,
588,287,728,326,913,537,364,686,252,223,901,804,097,882,433,965,821,053,233,
441,679,409,302,354,969,923,907,658,067,777,763,127,697,469,505,540,493,117,
348,913,257,632,534,960,130,467,523,902,686,333,969,837,518,254,760,053,315,
766,262,317,795,227,605,007,672,391,981,078,932,519,992,611,055,573,108,680,
579,525,561,293,151,677,898,891,544,169,994,830,266,840,977,615,551,053,409,
008,781,309,724,792,068,085,332,864,431,766,071,057,510,057,532,954,255,051,
508,524,268,102,679,390,944,819,630,070,622,821,335,380,508,517,037,069,791,
156,430,626,106,756,510,183,004,277,301,718,671,443,834,493,595,499,794,390,
589,901,341,226,882,908,265,863,342,209,324,305,067,062,403,359,596,518,192,
866,970,007,599,999,434,291,444,690,157,756,096,272,962,308,667,224,016,175,
831,327,174,086,281,342,587,554,713,068,039,806,035,592,223,819,540,270,748,
737,156,446,264,647,934,636,790,821,598,040,753,339,780,937,202,168,874,371,
056,989,701,182,927,692,070,440,606,889,704,553,061,066,674,576,780,798,855,
569,360,475,428,012,349,994,549,923,109,197,749,830,195,000,722,724,906,579,
443,367,266,821,629,548,257,778,118,263,978,953,579,045,832,375,784,778,968,
562,496,232,537,317,906,792,650,959,371,064,781,230,250,142,044,485,761,172,
269,152,203,268,738,332,564,834,220,511,474,750,407,009,456,532,303,294,304,
378,863,223,207,786,570,184,454,292,538,375,057,892,805,915,829,197,649,762,
473,815,749,441,933,898,065,196,735,235,793,466,307,852,153,818,707,311,031,
446,571,673,135,728,389,985,692,644,266,538,719,336,159,545,301,533,075,897,
451,729,749,288,018,982,162,825,442,225,500,878,630,113,350,368,313,002,024,
766,325,983,325,577,687,431,354,451,718,029,180,923,982,326,154,818,433,547,
327,977,457,856,434,087,552,558,559,448,241,980,041,683,016,143,862,927,260,
501,877,436,181,904,582,669,375,755,044,324,061,316,071,353,973,271,561,852,
371,138,907,216,649,663,623,195,956,131,334,656,565,780,313,893,465,875,789,
471,117,221,934,484,663,054,397,083,763,004,074,857,680,723,110,369,069,152,
489,463,691,727,998,644,010,148,787,784,911,639,611,357,852,316,824,712,102,
916,660,650,547,522,445,048,527,051,743,817,117,072,425,723,535,713,562,758,
461,868,796,254,090,635,715,694,275,455,076,275,285,367,412,408,191,100,294,
262,519,358,573,810,574,508,729,605,432,477,399,890,710,290,552,354,366,110,
385,198,915,853,596,866,873,993,832,773,931,734,654,533,955,764,246,256,280,
476,355,803,089,234,760,008,049,482,578,330,643,749,874,679,709,317,954,350,
497,394,576,714,219,728,828,755,859,668,949,300,940,648,861,798,684,477,944,
211,763,175,323,229,377,508,141,990,596,646,632,297,339,692,824,994,952,783,
164,337,158,096,473,417,665,641,556,327,772,920,011,697,778,885,467,849,237,
316,370,412,119,422,356,488,324,385,038,051,861,954,645,558,735,439,188,687,
013,369,133,922,527,547,410,430,658,480,402,388,708,726,318,576,491,237,094,
942,269,236,090,189,393,073,946,174,424,665,901,893,877,789,235,732,998,176,
003,283,950,655,101,187,482,257,040,650,005,835,156,812,318,282,448,295,312,
474,514,496,137,415,682,706,741,200,349,518,381,288,374,028,150,637,405,160,
138,524,420,329,538,371,202,578,310,237,155,099,518,079,377,832,805,895,270,
514,162,966,330,013,026,510,644,802,112,043,985,851,674,473,260,040,012,789,
614,589,675,918,907,126,211,764,826,517,249,462,717,218,121,903,119,499,734,
467,117,979,545,527,002,792,519,545,100,297,232,785,893,619,475,030,432,980,
826,128,902,505,210,719,792,310,309,364,549,473,553,868,311,424,754,799,456,
604,501,627,139,052,044,682,304,769,851,689,660,151,069,791,629,152,433,519,
720,396,449,588,265,589,090,225,047,612,364,015,477,344,382,642,415,582,725,
796,516,906,779,931,574,043,616,211,329,961,113,718,279,459,970,699,356,562,
352,994,764,922,159,996,201,984,773,001,871,625,834,079,200,858,869,761,277,
861,980,409,883,733,631,674,112,764,933,798,510,162,360,417,078,412,246,906,
214,366,152,019,200,349,289,977,636,079,605,658,098,311,623,344,595,793,627,
143,343,062,269,089,303,371,793,819,524,059,658,588,945,089,715,265,422,624,
343,577,518,984,891,728,473,423,228,980,546,741,622,537,963,910,573,665,702,
203,448,810,425,093,830,086,378,717,962,556,554,193,574,140,434,145,690,331,
484,681,591,584,206,961,272,315,002,901,380,159,413,283,642,498,674,730,528,
029,202,183,576,050,009,042,829,437,600,524,318,115,481,066,751,519,890,019,
223,450,279,813,985,700,875,781,277,593,913,127,001,744,235,213,839,378,723,
618,883,537,217,872,800,872,032,981,684,287,644,584,779,234,273,285,277,019,
055,367,819,919,674,879,097,169,424,379,158,204,944,100,810,818,260,622,497,
056,994,695,925,323,898,082,921,375,621,700,916,019,054,554,598,533,246,352,
709,522,706,895,885,973,395,183,054,986,997,255,756,896,340,043,895,557,404,
494,201,727,449,085,997,743,551,096,485,489,052,544,482,022,463,834,729,268,
947,245,011,197,417,422,138,618,041,458,791,630,794,979,251,978,034,034,578,
269,598,570,691,660,610,056,349,546,457,284,047,601,181,336,869,800,664,266,
462,842,943,224,833,396,720,491,812,469,816,943,841,750,219,287,786,384,940,
447,059,427,097,512,087,978,945,105,332,187,422,879,960,504,119,425,857,598,
014,263,285,528,910,939,152,994,903,786,249,919,994,634,041,103,279,212,808,
820,863,758,998,603,830,482,592,374,748,429,839,729,726,965,501,400,452,175,
041,512,349,293,932,361,967,436,113,726,513,371,705,338,965,310,961,513,425,
741,793,004,952,323,576,927,901,558,832,221,956,556,150,122,079,451,983,506,
719,723,494,036,053,259,408,516,814,491,343,447,648,774,217,597,569,239,676,
588,397,111,902,849,789,727,029,503,966,008,626,582,107,106,251,866,414,493,
957,440,982,055,214,444,302,908,510,451,347,990,190,959,444,259,437,453,119,
141,825,766,034,135,159,213,808,237,718,216,534,694,325,346,548,593,219,138,
678,991,416,118,303,779,406,760,714,290,647,578,813,564,156,524,062,482,673,
408,141,553,365,350,091,729,744,549,972,939,339,628,230,075,721,429,113,888,
347,995,211,268,410,363,889,701,563,047,393,212,816,786,628,495,759,320,437,
492,020,551,738,485,946,497,293,844,596,994,595,450,710,518,399,070,210,449,
333,864,462,035,307,260,720,335,857,623,158,850,007,466,303,210,486,686,144,
980,923,294,733,937,166,139,722,311,532,733,223,102,447,728,276,256,044,424,
648,876,774,097,449,860,588,940,404,676,109,992,528,561,562,658,307,798,949,
459,422,365,732,010,237,004,327,613,276,266,851,090,361,401,905,062,198,527,
060,569,199,645,473,405,700,715,534,700,503,722,751,953,307,232,112,110,928,
744,338,751,837,479,829,835,677,702,868,907,637,899,765,651,511,286,451,327,
783,233,738,174,398,390,521,675,331,421,726,213,032,326,945,393,214,329,633,
145,574,620,979,202,482,203,654,475,417,240,247,535,925,004,167,919,852,945,
667,321,074,041,841,168,284,900,369,287,425,520,165,363,149,006,185,310,848,
266,993,478,374,113,653,844,921,918,745,802,295,492,185,322,329,503,971,675,
673,922,491,690,484,211,591,487,403,605,656,244,173,725,997,857,686,913,141,
425,250,793,955,946,507,984,212,270,254,692,168,476,908,974,369,504,685,563,
229,745,182,391,732,406,905,343,553,894,461,561,140,048,871,581,949,248,053,
132,882,561,385,904,008,340,296,695,473,028,827,175,423,921,598,861,088,101,
576,364,125,042,017,216,666,659,059,147,105,272,787,660,642,613,475,346,938,
647,422,527,907,489,385,739,519,821,202,909,671,318,194,675,558,961,439,993,
438,412,636,023,396,727,462,404,475,592,769,380,748,979,657,897,907,766,858,
448,724,509,828,932,476,341,341,909,653,022,878,473,311,590,112,702,763,143,
542,472,542,163,383,077,470,458,171,298,635,844,944,960,014,829,642,018,343,
028,681,391,675,129,521,090,803,922,693,705,864,158,687,291,769,113,548,990,
202,695,835,329,894,846,356,361,640,654,664,333,238,166,919,094,347,318,314,
533,460,058,196,270,270,297,301,469,197,761,905,697,641,478,258,948,582,364,
272,408,686,931,401,288,421,996,852,526,213,680,907,234,590,975,623,945,814,
915,042,512,714,755,274,068,353,475,286,936,567,593,852,748,712,160,224,688,
021,828,847,691,943,154,995,776,845,793,431,568,586,443,277,309,516,854,748,
878,279,490,429,446,604,726,267,977,609,217,582,222,112,415,176,146,331,782,
127,710,859,465,432,183,395,177,392,575,377,219,647,453,150,546,354,686,820,
259,898,186,429,890,786,831,439,476,492,726,380,821,050,456,521,358,248,531,
277,156,653,990,760,294,973,567,689,058,585,703,631,280,484,310,244,785,699,
282,790,611,803,122,826,086,996,556,885,666,045,196,126,559,923,497,711,631,
036,284,482,572,933,716,201,971,556,980,854,215,877,563,290,420,564,713,641,
768,162,172,925,028,568,593,149,925,228,718,894,428,283,868,321,846,874,811,
892,420,024,449,742,666,317,615,447,306,615,912,468,882,624,202,007,870,322,
835,761,367,828,901,712,250,602,229,182,990,765,876,554,892,420,116,971,120,
005,271,932,960,347,044,106,269,162,353,748,153,678,224,683,907,323,805,913,
658,138,589,760,438,586,279,763,074,469,920,766,143,127,777,993,365,273,436,
181,894,363,794,019,734,618,988,013,980,196,375,669,045,627,578,318,355,610,
703,966,470,012,098,283,656,794,989,353,221,954,487,595,301,335,733,145,063,
644,924,671,818,962,086,163,266,885,559,344,803,035,002,689,340,310,037,786,
871,298,563,546,259,674,947,285,583,494,119,969,697,268,091,985,033,030,295,
021,095,295,025,086,042,125,141,743,154,630,115,586,472,597,885,495,499,548,
903,200,082,340,994,289,191,213,000,668,367,939,576,365,033,493,249,055,782,
015,662,099,613,797,264,189,227,786,598,779,150,321,649,493,571,448,812,294,
774,426,543,278,908,337,484,736,243,313,432,481,361,393,981,507,527,442,944,
663,476,849,038,722,773,375,508,016,039,425,054,323,258,949,508,946,289,854,
831,816,093,526,227,910,613,445,347,644,932,332,020,403,609,656,670,937,418,
945,889,729,484,852,013,391,815,389,845,946,048,458,797,841,370,188,262,643,
376,063,156,557,704,642,758,460,484,500,827,268,077,887,101,965,535,607,905,
911,248,544,885,511,306,469,358,423,237,922,275,405,699,659,116,982,054,373,
711,817,393,153,277,308,866,772,201,662,762,351,459,861,052,023,981,888,191,
191,442,327,809,443,146,888,616,165,704,160,918,048,661,136,672,906,096,258,
273,110,316,036,873,579,955,616,075,069,625,676,637,952,355,197,052,661,991,
516,403,601,108,931,608,317,477,041,749,545,752,800,054,552,502,265,419,999,
868,063,512,263,017,569,806,624,367,744,257,872,932,032,249,960,877,757,859,
560,940,043,631,990,132,298,966,091,956,758,974,652,491,734,184,702,888,898,
515,429,221,721,596,161,166,050,329,620,594,375,908,474,186,655,536,739,285,
935,804,998,902,972,031,850,722,263,364,869,750,622,416,578,175,217,520,113,
762,684,352,799,240,937,032,995,998,780,249,572,320,187,328,383,272,052,216,
289,050,392,975,668,493,857,258,892,628,491,758,405,105,582,242,202,648,495,
862,892,266,620,582,916,398,280,972,342,840,754,260,909,644,619,911,009,371,
223,786,361,578,794,704,179,933,558,393,912,009,785,253,467,389,956,458,248,
673,515,414,033,637,863,164,998,253,914,902,253,242,216,745,637,978,669,401,
011,976,832,256,662,368,925,282,170,496,115,505,788,290,832,122,593,591,872,
245,524,438,080,853,579,954,116,235,297,427,715,716,179,837,063,933,534,368,
268,474,659,264,523,537,197,878,259,397,904,992,253,748,110,896,301,027,239,
527,158,602,611,902,462,617,274,317,967,126,342,227,603,718,806,006,148,130,
244,094,059,670,069,104,991,647,362,611,241,339,479,057,794,836,770,196,033,
439,340,587,696,840,864,680,753,144,551,201,229,899,572,930,583,476,631,845,
303,462,500,468,328,925,862,118,355,398,857,223,331,848,096,934,588,674,072,
504,491,529,419,914,156,427,633,520,866,051,339,344,500,648,489,532,997,633,
571,892,641,880,317,557,431,753,457,723,296,586,213,266,783,480,112,556,382,
111,296,547,846,848,605,629,243,974,388,048,487,593,484,515,805,109,306,335,
110,490,009,593,262,256,407,942,031,631,441,922,168,389,854,674,723,813,907,
419,706,186,298,041,394,472,935,355,497,723,996,264,036,960,541,550,674,783,
881,165,590,018,635,752,740,223,241,308,268,009,293,318,967,084,933,305,566,
380,337,798,219,223,149,044,178,854,359,126,215,534,453,480,618,919,911,880,
003,811,979,666,057,158,921,554,884,816,164,201,583,087,711,414,597,124,707,
857,013,956,795,984,582,119,719,826,409,985,417,348,991,356,762,094,896,097,
927,863,634,954,042,134,247,018,748,428,034,225,174,984,306,792,592,671,733,
163,658,482,973,601,177,506,456,065,426,852,690,903,060,635,996,243,175,809,
237,846,188,524,148,813,837,524,147,716,601,073,250,363,873,273,262,009,833,
530,066,955,335,144,651,145,137,126,147,113,501,684,494,823,912,960,719,460,
006,716,837,430,805,110,798,575,811,354,015,080,871,714,341,479,890,674,343,
269,509,742,908,120,517,544,656,141,312,737,881,979,593,107,037,011,363,614,
457,707,697,308,528,750,553,519,482,595,438,188,406,056,316,141,878,452,338,
765,822,980,212,002,495,440,095,608,302,660,557,057,061,690,837,721,519,239,
975,950,731,306,974,782,906,292,318,301,372,441,917,365,084,716,788,893,133,
133,314,222,842,366,598,177,377,348,989,233,141,572,297,729,676,328,956,725,
753,856,553,259,005,454,333,190,409,515,199,460,422,959,935,348,691,293,869,
068,709,500,180,548,582,862,423,594,325,674,795,804,055,352,566,418,248,260,
589,567,921,110,617,842,555,165,494,211,507,444,110,057,559,490,527,780,513,
096,986,006,230,003,547,767,285,697,553,277,111,459,725,558,408,843,837,794,
385,596,975,972,741,512,839,656,317,575,262,554,031,667,617,288,331,335,753,
092,362,864,037,316,634,300,594,931,544,436,878,305,184,754,886,790,555,775,
106,749,302,448,897,342,276,927,787,560,050,767,630,534,387,151,811,303,067,
227,395,740,395,758,948,766,950,874,920,887,652,902,081,846,808,290,107,095,
011,034,515,610,709,798,713,128,068,820,820,849,062,275,305,695,550,349,594,
015,832,700,215,247,939,662,108,216,572,004,426,847,981,760,410,869,008,006,
021,904,383,728,681,401,635,817,628,634,324,815,642,358,801,873,528,381,675,
652,456,567,546,294,306,210,822,044,511,721,338,190,476,698,136,466,578,357,
757,791,826,050,426,156,630,056,217,435,205,822,510,046,001,959,699,794,630,
669,234,464,010,967,593,351,780,027,434,554,434,202,877,225,201,431,088,488,
144,649,338,442,062,455,705,701,923,028,922,421,920,883,082,642,050,404,007,
932,549,755,692,570,664,591,066,552,463,267,035,243,222,020,190,829,912,186,
935,733,531,695,656,179,042,515,488,214,031,190,340,293,299,064,792,050,893,
132,400,011,873,633,287,749,626,623,028,380,498,192,902,188,995,661,702,989,
274,878,534,105,533,631,760,638,016,305,283,855,014,302,546,828,271,276,388,
042,325,214,117,329,515,913,600,082,705,445,929,732,244,979,178,923,914,412,
831,102,329,898,381,892,443,734,446,102,284,699,218,224,029,468,253,597,331,
726,383,344,597,299,858,701,456,418,945,761,539,932,202,006,950,787,565,461,
164,404,564,252,215,832,443,911,060,739,756,690,113,446,049,371,955,149,192,
174,917,549,271,119,281,736,532,132,111,429,590,383,190,314,776,922,462,340,
401,511,928,632,225,457,775,744,226,533,951,445,649,990,598,412,857,482,266,
173,412,849,362,290,506,015,731,229,057,548,806,553,702,689,070,190,713,283,
741,895,204,059,350,370,834,854,057,338,445,648,236,924,009,617,807,032,070,
422,533,427,979,687,477,841,676,645,231,174,745,880,001,774,970,819,866,068,
604,979,747,447,270,265,278,763,677,991,219,791,932,147,510,397,896,948,717,
848,336,060,952,017,393,143,631,642,454,098,388,202,598,218,314,242,617,144,
934,153,196,385,576,522,141,071,624,891,493,542,521,529,019,830,300,587,280,
646,217,438,723,010,040,757,047,276,151,333,795,674,222,638,495,183,059,609,
755,968,195,207,229,482,118,393,692,111,009,455,269,532,924,441,492,939,364,
424,232,966,528,298,634,066,812,022,036,425,101,484,703,993,832,910,618,075,
166,936,160,413,867,339,857,209,353,869,290,004,837,626,622,630,089,585,894,
879,116,107,706,926,674,474,283,864,413,493,317,989,995,814,038,935,324,962,
480,668,988,011,309,204,040,716,074,032,764,858,565,545,040,225,207,805,857,
084,313,123,323,106,144,308,057,201,634,406,167,371,335,231,306,606,635,840,
848,987,211,878,026,513,480,437,501,162,375,458,113,909,256,482,787,353,359,
684,800,194,792,889,127,820,368,435,432,773,259,366,731,004,220,939,700,037,
040,430,352,065,684,400,509,421,729,526,548,752,886,990,974,596,957,799,902,
931,808,185,913,484,972,716,115,246,815,740,849,829,631,642,325,666,873,439,
717,223,092,596,048,010,464,060,484,310,047,175,518,791,837,429,455,216,631,
637,023,014,511,894,485,094,101,528,198,400,410,465,138,141,151,140,330,491,
986,742,390,988,934,971,722,060,634,438,351,109,615,580,962,412,527,655,632,
184,459,881,511,399,411,635,865,582,299,628,421,052,739,758,392,821,255,488,
210,704,335,410,510,576,146,459,789,897,785,458,502,602,632,961,630,806,674,
128,737,225,567,301,403,756,449,165,363,804,527,380,655,821,756,148,125,472,
586,028,724,580,901,880,324,854,199,137,741,705,630,967,201,487,477,529,406,
396,640,722,093,903,296,249,234,310,318,347,305,881,691,451,024,891,662,696,
428,051,235,756,973,998,699,563,111,057,583,373,702,581,015,157,244,317,284,
344,037,895,386,974,517,159,238,815,782,294,851,769,052,667,119,277,764,272,
231,811,600,906,838,682,415,640,303,846,115,813,616,781,345,502,374,890,121,
131,459,611,870,683,598,090,203,424,657,774,146,775,936,249,608,453,046,725,
123,956,743,515,117,148,806,062,296,792,115,854,807,436,179,240,797,559,738,
548,069,942,803,573,052,723,165,867,123,890,918,863,121,914,000,128,529,502,
290,301,344,941,351,677,104,746,182,639,277,833,032,568,009,899,371,359,865,
462,774,758,485,673,047,535,758,716,903,148,137,694,134,308,204,450,618,689,
232,311,441,239,327,405,627,672,058,364,780,085,618,577,167,875,849,068,114,
376,872,314,186,317,146,136,437,079,984,868,516,407,901,536,781,698,306,847,
152,438,322,861,228,647,335,754,293,833,556,120,228,926,423,534,128,519,517,
528,894,580,505,914,513,726,014,068,701,903,524,117,436,666,365,970,281,089,
816,278,690,650,661,495,123,312,806,944,580,675,429,102,119,222,190,703,236,
640,565,424,789,344,630,857,150,335,078,468,062,161,106,403,415,876,633,614,
089,710,209,154,646,921,142,188,976,053,996,658,628,231,581,692,609,896,229,
570,192,303,317,624,755,009,527,043,296,082,406,800,008,083,507,514,840,387,
668,065,944,826,782,916,682,372,314,102,616,010,428,468,962,832,572,555,703,
856,299,160,962,599,899,402,143,734,679,059,539,752,904,499,892,869,306,661,
312,221,779,379,988,144,214,668,857,262,270,563,965,076,644,493,050,721,992,
476,094,722,539,341,370,059,750,251,855,494,388,995,547,150,731,782,691,063,
226,320,502,426,703,496,754,282,102,585,649,566,215,546,472,154,217,419,853,
531,353,055,991,293,785,444,552,365,978,310,740,625,779,919,811,418,196,982,
778,511,606,196,325,922,615,263,703,883,489,147,328,615,651,480,773,764,887,
038,739,875,790,038,006,482,855,596,443,900,252,508,156,659,842,874,533,495,
820,790,482,179,824,051,517,099,597,910,146,623,843,143,201,529,265,459,801,
729,691,456,427,280,511,989,097,625,124,578,449,497,196,625,707,519,923,569,
904,475,137,154,423,818,725,495,544,174,561,579,782,316,152,490,714,168,463,
238,062,308,071,897,737,966,939,903,458,389,241,737,899,928,051,060,505,660,
467,157,613,510,388,941,054,380,068,517,469,066,666,124,679,589,627,910,307,
653,670,365,727,149,642,583,634,428,749,483,321,473,494,529,935,941,857,311,
858,238,165,330,149,523,302,163,694,600,361,066,075,479,735,998,616,097,678,
202,273,115,606,017,882,518,649,883,904,361,327,249,994,453,993,682,476,768,
859,371,882,611,489,382,357,620,530,051,575,096,990,355,786,925,637,422,094,
643,341,079,393,334,654,093,451,381,192,717,618,547,427,769,937,053,796,039,
263,544,690,800,063,007,136,127,515,924,658,205,663,881,106,581,205,661,697,
803,096,464,033,539,319,694,252,917,316,740,073,574,048,809,853,286,719,764,
531,400,222,651,567,531,531,958,775,360,820,814,747,305,717,482,747,195,634,
733,228,405,212,317,656,931,357,513,540,337,352,410,935,703,405,798,400,630,
235,409,551,411,992,360,403,316,288,046,626,012,972,822,854,127,485,192,653,
582,775,531,716,581,213,682,276,797,967,113,840,838,142,991,560,078,693,072,
905,901,814,800,434,293,735,052,445,263,007,358,907,614,250,948,679,647,279,
228,093,623,701,016,616,831,922,380,179,832,422,465,768,065,691,666,350,461,
912,848,009,635,396,313,736,915,837,351,844,945,132,371,454,650,627,752,971,
327,789,848,619,631,702,349,960,417,783,255,429,612,863,085,955,006,135,033,
306,991,581,767,643,333,881,891,304,340,795,746,559,382,862,728,315,260,166,
488,666,357,475,303,325,403,458,346,843,547,609,109,341,984,330,029,006,022,
093,824,195,729,328,581,352,192,919,072,468,644,714,118,800,787,547,992,631,
837,934,119,512,990,972,783,974,781,755,657,244,528,229,611,986,180,248,367,
680,160,251,757,047,757,870,047,338,039,583,915,309,383,360,462,232,995,976,
354,446,462,885,671,730,440,648,920,919,123,769,623,457,087,039,254,905,027,
073,575,433,033,482,051,240,072,306,447,743,053,388,902,323,827,038,445,612,
193,101,707,475,485,364,419,915,038,744,763,980,618,073,678,522,139,707,240,
311,341,210,741,567,884,916,353,953,009,692,173,673,457,387,175,961,054,051,
923,586,794,387,456,637,054,054,722,920,858,085,478,952,799,613,318,846,099,
713,967,517,891,847,170,725,106,263,821,711,530,952,377,859,712,360,720,791,
510,736,559,494,321,273,634,582,885,212,627,736,279,760,042,464,946,392,993,
341,087,066,783,742,454,154,514,769,820,924,990,121,642,404,122,761,533,799,
895,035,030,660,013,459,600,125,951,678,965,836,519,534,019,580,712,635,446,
126,696,485,124,363,581,112,515,780,047,923,843,579,364,741,620,267,516,314,
860,323,572,873,139,104,192,698,193,241,178,397,284,110,482,130,976,042,534,
988,652,437,679,482,342,258,162,493,295,291,603,026,352,759,055,935,986,373,
104,833,042,572,302,396,461,916,110,077,110,433,384,793,606,015,880,586,175,
160,586,775,395,322,850,129,142,683,305,523,073,935,781,707,629,467,041,754,
009,055,124,380,423,240,739,241,884,019,546,509,418,628,242,587,747,625,513,
030,863,753,394,025,937,431,686,725,325,690,524,469,309,736,894,620,949,251,
821,091,511,955,578,739,446,985,600,156,801,953,224,710,572,125,012,956,553,
803,605,081,734,466,870,523,916,453,471,339,087,191,718,172,374,862,775,881,
539,571,596,386,131,343,892,061,415,626,727,498,424,027,763,874,644,353,506,
374,270,983,722,909,187,818,723,458,705,891,224,913,906,656,839,258,534,311,
041,241,462,843,636,106,357,386,943,026,972,478,469,663,663,010,931,978,976,
620,575,848,458,903,211,193,687,273,565,803,934,699,805,617,175,276,195,704,
665,618,999,224,508,938,373,954,488,942,853,729,618,591,203,948,009,315,055,
730,964,758,478,325,419,616,461,909,628,315,741,868,675,530,018,086,231,609,
045,347,864,805,237,155,786,425,690,920,777,892,901,966,390,181,533,559,673,
770,394,488,389,970,809,400,091,980,787,430,977,213,069,506,069,627,739,242,
735,883,475,729,502,085,306,246,255,481,904,421,915,569,091,639,738,906,580,
520,026,681,318,686,198,649,997,844,077,240,544,766,620,378,680,228,850,492,
524,549,498,119,947,029,662,744,484,749,426,832,589,814,595,685,546,752,153,
394,530,729,373,463,373,000,319,789,194,403,425,087,632,643,073,770,958,864,
310,886,705,910,569,485,145,259,554,848,683,429,183,053,851,248,668,341,926,
467,099,122,286,741,053,005,106,425,911,872,380,209,930,835,033,150,122,536,
679,310,070,857,878,628,029,342,307,333,644,252,227,608,091,615,322,607,983,
902,488,917,123,846,841,728,695,626,942,617,718,630,582,852,564,158,184,495,
052,336,539,632,582,298,027,579,479,673,595,150,161,058,286,290,869,414,873,
937,262,433,445,203,208,728,703,374,205,283,705,022,896,573,767,945,142,414,
828,090,993,012,046,766,837,446,886,587,657,287,067,160,687,584,085,431,786,
819,835,135,786,665,960,109,946,546,660,837,485,733,784,588,556,005,895,256,
591,328,757,123,149,530,494,350,662,657,623,822,928,349,780,040,790,230,901,
973,241,725,392,840,819,416,442,926,238,174,449,795,680,462,944,889,616,219,
728,607,328,353,441,152,924,810,672,991,185,684,716,591,225,230,457,753,311,
587,719,950,085,890,920,140,425,489,277,260,584,409,603,598,681,549,319,442,
664,361,701,127,409,854,486,090,909,837,605,710,650,029,493,004,827,555,193,
761,651,563,576,841,518,671,759,516,982,926,855,666,610,267,211,179,075,738,
967,682,264,251,926,633,133,041,601,070,925,906,896,153,022,915,953,000,535,
295,446,426,654,842,956,538,717,236,844,478,470,781,897,051,054,101,688,792,
338,010,061,885,973,083,553,033,037,251,354,936,866,147,541,687,807,763,381,
219,744,255,409,629,652,924,846,052,421,811,029,923,870,480,576,529,265,803,
079,404,515,735,629,505,835,749,036,642,660,153,685,890,770,119,586,560,705,
848,039,714,351,163,768,976,494,381,448,677,150,906,613,612,428,348,521,510,
076,011,859,882,461,374,885,184,724,185,339,450,027,860,153,803,448,972,105,
143,655,507,033,556,691,038,854,223,345,114,583,794,047,287,290,175,109,576,
058,218,227,873,142,409,709,121,562,582,492,706,170,220,903,518,555,989,319,
133,459,105,449,053,203,699,898,154,203,732,092,619,490,293,164,374,138,209,
380,104,918,224,656,798,438,518,070,878,426,104,936,897,339,032,976,275,062,
622,881,098,745,819,569,928,679,277,457,333,808,602,862,310,839,844,916,500,
499,623,083,039,013,736,166,699,995,727,716,692,179,516,534,223,121,517,832,
471,099,346,700,055,662,724,929,949,067,489,246,800,460,002,692,436,878,473,
180,328,736,949,603,377,810,945,795,641,535,409,986,931,171,807,544,588,807,
877,401,082,690,862,051,818,438,334,244,766,840,428,395,340,489,271,046,395,
811,903,595,198,359,076,101,124,186,994,823,642,324,182,414,366,862,192,316,
659,259,240,693,366,343,957,814,431,359,074,611,527,636,460,671,400,852,593,
006,260,522,718,195,444,835,917,100,206,965,922,550,500,538,434,119,530,565,
569,528,902,651,929,841,094,916,269,837,725,632,375,282,349,381,811,410,812,
681,815,526,423,892,481,101,861,266,702,135,140,019,474,815,315,609,702,369,
824,637,887,957,240,995,790,092,589,932,108,286,757,910,309,227,151,775,795,
957,992,222,278,363,305,438,824,560,990,513,168,728,938,779,059,325,898,145,
963,979,953,720,627,548,952,759,839,128,552,819,000,099,797,981,920,664,683,
568,008,374,794,946,415,631,918,772,975,121,632,175,705,195,542,735,295,795,
230,281,160,193,358,347,577,318,758,323,836,448,519,361,945,511,795,845,874,
995,038,609,370,659,255,617,006,165,485,226,604,269,656,616,401,260,469,044,
017,107,820,102,112,291,485,888,956,118,980,490,179,826,015,793,150,365,306,
431,281,712,548,157,939,550,432,156,217,973,889,569,772,900,229,152,939,434,
963,764,815,080,601,332,127,038,494,481,023,963,533,797,591,466,527,518,793,
919,512,637,230,069,961,624,119,000,567,839,544,803,638,355,521,589,431,983,
724,188,236,704,051,810,423,222,416,634,833,358,441,624,198,547,947,224,295,
059,895,187,293,898,817,647,282,082,993,240,221,540,011,434,832,740,331,085,
483,966,124,340,523,991,459,793,209,207,821,435,297,055,763,657,551,453,356,
984,588,022,810,622,319,191,987,134,495,180,033,969,430,354,942,087,882,314,
835,685,648,655,901,259,270,200,515,151,518,228,994,000,693,185,092,802,072,
876,040,435,357,375,644,138,949,067,971,470,463,346,447,367,217,822,780,679,
062,879,395,138,680,551,228,964,683,624,918,184,730,964,681,330,509,036,477,
135,156,541,609,678,056,230,323,767,126,854,470,386,211,342,613,711,547,562,
317,265,246,152,917,816,811,009,526,844,359,380,308,790,941,274,686,535,862,
632,572,115,211,433,810,484,616,117,410,724,599,789,713,605,137,999,247,283,
552,700,995,998,413,674,639,439,515,778,389,926,467,667,171,545,973,559,519,
868,294,491,044,465,835,597,734,987,127,684,617,737,706,747,434,517,804,809,
214,140,170,497,800,297,214,084,214,421,089,648,461,948,025,784,583,335,962,
846,173,847,279,375,153,309,393,706,213,276,899,835,241,951,920,019,726,212,
970,754,825,669,978,393,488,632,014,703,189,907,391,057,694,370,463,667,803,
237,833,823,672,001,731,796,673,118,982,999,573,232,225,916,879,686,459,012,
782,866,496,114,243,354,098,167,895,752,727,631,502,350,918,517,638,847,531,
271,005,022,903,824,608,644,465,017,156,265,766,163,832,272,467,305,929,441,
987,117,053,129,803,611,587,494,912,099,946,413,466,626,014,146,815,139,032,
626,110,262,412,206,071,892,921,089,882,765,985,283,380,342,573,914,624,257,
097,356,874,766,007,870,943,552,392,501,668,178,943,709,266,228,012,846,005,
210,062,214,654,991,859,337,265,391,851,778,233,672,995,141,710,939,461,718,
262,547,412,170,209,548,853,663,351,733,539,734,622,452,353,784,052,345,025,
821,044,955,560,906,364,067,802,593,586,260,436,475,606,989,718,693,442,391,
240,324,976,949,177,629,125,660,873,780,887,641,583,900,321,342,084,489,866,
495,883,788,891,368,812,018,737,834,286,681,742,255,137,384,534,970,251,490,
903,800,984,892,184,270,141,028,622,859,525,426,857,974,702,962,589,604,904,
564,586,787,156,685,629,832,232,680,608,573,936,514,803,299,636,163,204,802,
790,412,984,001,211,267,232,151,838,345,630,518,899,293,526,106,582,009,122,
026,157,777,989,990,598,481,562,107,595,173,767,876,087,129,331,522,230,515,
488,137,475,997,069,156,337,759,439,118,479,322,953,268,460,260,429,837,595,
404,584,626,129,727,604,004,255,969,828,265,655,124,166,971,759,838,963,014,
219,188,595,291,366,513,465,246,096,166,939,489,241,253,160,438,596,895,731,
460,671,022,078,838,808,187,285,095,237,880,801,339,451,383,465,170,377,955,
866,998,976,349,914,989,831,308,208,107,139,452,417,726,644,273,622,916,979,
706,844,973,656,344,160,691,269,070,119,203,397,891,020,729,301,879,622,621,
794,966,979,026,389,873,928,336,449,358,641,907,506,965,927,658,081,612,423,
586,023,450,124,794,935,711,224,192,443,011,446,417,310,991,374,537,671,524,
228,408,273,954,227,154,700,313,474,700,498,052,547,099,270,073,687,416,830,
774,306,788,291,775,515,164,512,922,905,865,020,657,856,560,452,601,061,931,
857,629,537,421,652,897,991,941,689,963,590,884,281,878,614,323,687,491,820,
980,881,801,036,482,113,229,590,843,736,219,658,628,750,136,565,339,759,902,
460,535,814,725,637,314,413,277,269,368,037,723,149,772,687,994,243,782,040,
995,703,237,803,840,547,884,044,616,550,722,715,183,700,652,084,635,896,512,
400,611,159,740,603,196,766,680,703,174,562,393,666,397,265,693,699,648,232,
810,773,850,961,025,318,232,384,785,891,714,064,138,277,418,996,642,619,806,
055,337,203,750,732,023,668,634,263,448,291,540,572,588,473,028,492,130,096,
156,109,804,652,235,889,970,493,464,305,887,554,915,563,847,999,454,860,837,
122,949,795,663,648,415,493,826,825,759,913,732,421,137,000,031,498,829,013,
996,675,824,311,991,223,590,321,307,002,356,898,012,033,358,002,849,936,326,
562,435,677,786,758,324,310,221,369,738,050,102,326,657,971,979,797,481,213,
481,278,683,208,269,718,369,751,629,598,111,277,724,332,816,866,810,667,483,
948,022,689,602,869,114,485,167,496,818,579,808,639,333,452,752,528,433,321,
107,686,445,866,344,005,321,609,148,365,918,320,023,639,991,519,740,004,227,
372,807,110,602,743,926,384,295,426,450,330,504,455,027,975,735,257,817,509,
736,190,472,989,500,380,150,295,772,880,568,912,569,505,126,997,218,338,809,
617,067,294,674,962,534,145,291,359,034,538,977,137,187,498,732,877,418,218,
998,158,031,709,148,507,450,245,236,510,445,982,619,650,375,889,786,888,973,
241,021,928,082,370,682,294,901,472,926,270,298,795,456,382,306,733,858,246,
327,785,284,680,777,169,644,543,900,564,622,084,096,787,884,867,302,710,517,
478,197,415,728,493,247,131,216,175,529,857,511,893,923,946,163,653,090,303,
226,468,495,468,674,780,692,943,824,217,436,149,797,626,881,600,225,525,223,
883,784,622,071,082,313,306,637,178,747,068,119,619,432,441,247,238,837,689,
629,353,798,329,832,924,638,851,299,097,668,594,526,008,955,178,139,105,332,
062,619,768,389,089,455,462,884,997,860,385,458,868,666,708,324,001,692,053,
914,764,032,149,063,883,928,813,198,756,224,777,522,992,658,029,827,821,073,
368,355,684,380,244,845,073,592,356,150,758,076,433,540,025,747,804,657,447,
125,998,726,302,450,325,443,742,823,576,610,838,060,666,303,508,747,097,273,
295,226,644,872,133,827,046,321,269,056,888,403,099,813,767,605,353,981,418,
596,934,888,957,203,604,889,930,924,732,882,434,238,784,255,072,011,484,300,
091,716,673,777,960,668,797,741,979,564,602,520,031,512,619,843,445,058,251,
466,951,010,879,474,698,563,747,757,378,104,933,900,810,273,759,934,421,667,
273,489,732,095,808,536,329,545,163,488,404,606,244,648,964,017,975,471,583,
194,050,986,927,656,433,674,064,095,566,548,895,765,943,542,948,660,839,050,
645,337,647,037,494,545,186,391,161,173,296,842,441,918,232,638,311,276,465,
626,516,743,892,205,293,138,840,077,776,788,610,755,850,419,071,948,713,319,
739,243,658,029,076,296,313,285,023,551,365,426,774,034,766,555,986,885,857,
405,874,621,912,969,481,201,348,130,466,778,967,286,245,468,999,852,317,642,
006,302,108,937,852,930,636,648,178,749,063,359,527,350,000,892,447,536,085,
390,509,745,909,943,652,807,476,291,085,526,844,964,974,217,474,992,723,100,
083,206,124,351,278,334,699,078,954,828,224,348,941,125,809,851,432,237,872,
221,724,720,740,148,240,409,079,921,262,595,784,827,710,041,320,775,698,275,
450,932,453,990,216,528,738,749,998,808,891,654,384,869,242,749,610,197,324,
378,546,193,543,422,940,709,048,726,233,270,496,054,153,463,484,056,553,191,
631,328,654,743,985,207,918,655,133,221,526,831,021,833,315,807,364,475,966,
127,174,986,806,532,730,252,107,070,278,600,896,055,796,267,989,123,835,895,
606,791,154,088,851,396,886,693,855,001,462,448,054,145,488,333,561,259,375,
213,680,238,135,153,279,290,992,491,210,928,660,474,822,295,954,961,410,158,
191,439,826,247,238,896,311,197,057,678,853,650,455,798,085,118,570,551,618,
770,663,724,200,941,991,971,323,955,549,196,101,928,300,627,675,301,299,799,
307,187,754,169,183,402,449,480,867,270,507,172,975,556,295,914,794,362,413,
223,707,995,589,568,463,288,453,468,432,007,992,152,739,796,878,629,067,285,
162,968,287,475,194,074,086,886,397,145,092,183,794,894,343,466,818,736,067,
280,555,456,088,256,419,979,871,700,586,067,254,060,900,000,901,285,203,806,
008,785,070,590,904,016,410,942,081,824,648,148,315,785,954,754,353,798,561,
371,898,475,290,895,989,485,969,445,980,285,859,740,343,608,506,577,457,343,
020,720,485,709,520,975,431,788,300,985,724,665,615,699,232,108,242,088,498,
834,085,326,614,282,295,076,350,430,137,750,540,433,266,623,728,394,345,518,
301,404,687,563,762,529,487,632,219,910,917,416,630,989,573,233,015,471,347,
962,371,451,015,436,866,609,738,632,224,544,128,698,782,955,512,406,930,962,
785,876,481,734,306,013,903,707,015,513,495,459,602,271,313,291,458,941,725,
050,325,290,909,704,553,229,165,736,233,690,676,464,106,359,692,212,703,970,
937,249,692,419,144,005,832,968,300,222,061,656,613,907,479,281,431,025,550,
575,205,202,147,249,354,780,710,348,810,318,202,221,877,975,846,267,498,686,
469,871,465,341,006,025,168,005,576,303,728,104,737,886,044,015,040,352,139,
265,533,065,264,943,329,162,669,887,916,652,819,661,029,599,560,251,639,214,
231,343,866,839,121,768,525,817,449,055,206,518,909,621,299,959,921,028,365,
175,209,008,258,163,941,822,506,541,551,210,769,119,200,136,096,923,490,003,
793,562,876,481,021,216,861,701,583,277,338,184,056,964,184,040,573,984,344,
394,318,510,230,119,264,086,712,420,727,814,027,306,203,731,196,885,388,020,
220,530,710,709,497,974,184,827,782,044,692,560,842,689,710,666,701,249,412,
706,927,872,583,863,732,923,368,209,168,547,558,990,186,153,523,397,206,043,
810,353,100,933,348,540,586,678,130,421,134,901,857,332,675,949,394,174,914,
915,500,835,579,105,766,521,959,902,242,606,102,084,576,509,714,806,384,095,
363,519,954,324,274,761,456,067,525,610,642,950,688,223,916,617,548,488,401,
513,648,963,087,798,705,578,029,355,128,430,617,921,109,008,065,908,354,387,
070,088,025,736,205,111,106,328,899,251,279,017,834,121,925,996,137,580,519,
352,929,608,876,642,633,992,200,872,845,792,501,835,181,912,157,855,445,143,
596,033,047,408,490,165,739,162,876,878,886,205,308,778,533,764,148,186,608,
561,886,891,494,436,298,812,416,498,837,654,465,668,573,251,096,495,577,672,
584,838,125,566,058,511,925,375,325,063,970,358,597,419,709,111,637,391,174,
110,601,003,669,162,004,199,723,483,628,178,166,547,961,497,983,867,806,179,
604,075,213,698,751,757,977,251,478,973,575,750,275,198,527,164,609,321,717,
760,607,308,272,686,975,331,470,576,665,160,382,908,487,953,099,315,538,119,
589,739,497,012,268,638,258,053,561,221,855,885,121,920,467,969,067,645,387,
010,273,324,820,239,635,123,076,258,779,438,154,246,120,714,219,268,712,431,
301,023,980,345,119,027,837,833,476,566,224,578,044,840,795,632,032,674,822,
342,241,202,518,189,309,061,405,590,414,901,850,329,091,892,398,123,692,512,
088,340,540,812,878,037,309,475,717,622,261,412,717,634,732,279,819,051,893,
212,089,611,843,816,924,889,898,857,709,448,072,343,597,330,362,306,907,130,
872,519,530,403,608,989,195,763,155,260,761,154,239,965,750,081,901,794,778,
209,389,572,277,613,232,165,784,372,193,942,851,811,335,413,830,791,118,667,
555,107,275,021,293,947,822,874,174,041,904,322,483,705,724,542,664,127,192,
050,933,090,346,859,758,196,169,794,636,405,004,837,079,403,124,271,953,485,
826,563,998,532,997,474,712,846,300,655,057,016,757,954,439,776,632,125,685,
360,325,133,642,418,443,680,497,198,731,052,742,084,549,151,008,206,854,019,
951,699,227,744,851,789,469,788,683,557,938,387,534,062,579,694,232,192,289,
395,217,594,393,639,577,608,097,870,911,952,543,527,857,575,430,292,419,972,
093,655,619,647,521,362,939,746,084,954,293,780,846,711,010,065,707,315,803,
470,016,602,195,969,012,119,826,722,584,691,174,373,154,042,029,304,215,208,
591,370,921,112,406,164,427,159,155,553,736,014,930,112,542,228,963,312,316,
058,180,118,460,910,230,315,000,285,139,951,977,581,363,037,407,059,183,981,
958,871,154,622,669,367,275,851,444,118,656,299,119,559,364,643,323,707,123,
811,286,687,597,102,887,410,215,090,483,614,793,977,419,264,038,055,717,064,
692,947,316,109,061,676,768,744,429,422,407,927,863,549,482,098,535,480,728,
906,419,418,712,845,786,320,345,524,327,829,250,595,516,562,426,293,028,852,
535,470,210,729,845,391,662,682,049,175,909,636,788,004,041,657,432,464,943,
040,408,783,919,483,876,155,160,747,695,686,438,793,842,004,431,385,744,099,
906,460,619,842,153,105,155,690,061,177,122,551,798,801,291,810,128,357,534,
130,100,674,243,649,229,640,043,322,578,395,354,671,315,868,099,595,606,304,
730,054,890,779,930,911,837,804,653,923,160,561,795,021,025,175,854,950,643,
215,693,700,166,218,169,613,114,921,221,243,352,826,545,693,198,578,558,467,
097,161,719,315,500,323,301,062,995,016,457,872,249,997,900,130,111,671,414,
028,231,908,172,266,807,944,130,733,824,874,709,799,672,680,817,292,834,280,
962,208,668,601,057,703,447,063,813,199,917,194,579,645,459,878,998,557,699,
903,706,432,421,240,017,469,869,755,308,766,467,354,005,023,101,291,897,338,
796,524,656,020,154,189,953,173,834,329,935,139,801,445,120,442,153,148,116,
518,273,423,033,130,622,220,396,630,337,777,687,829,559,218,032,387,072,418,
831,204,373,407,734,304,775,798,791,277,124,599,695,057,014,207,542,545,273,
848,083,103,416,317,184,358,708,321,177,435,599,517,305,839,283,771,890,770,
875,085,300,378,022,833,340,413,761,723,693,489,045,497,065,162,796,319,506,
695,524,465,097,022,503,383,207,730,397,980,116,797,129,895,039,146,210,563,
615,684,454,177,265,021,095,282,452,104,803,967,755,755,879,488,627,001,678,
695,658,967,024,718,150,794,947,683,598,047,080,513,872,611,418,555,576,169,
041,806,640,046,308,507,054,540,308,773,361,929,533,962,412,548,274,944,617,
308,723,052,754,764,293,370,178,505,566,831,025,703,117,518,783,703,934,481,
285,352,288,513,069,206,922,682,562,749,554,634,907,244,033,668,952,536,496,
177,392,167,545,429,641,922,192,968,345,558,191,080,672,358,587,993,392,449,
067,819,642,894,400,798,184,526,204,980,602,259,608,097,882,521,736,044,513,
954,791,727,777,740,413,946,098,998,622,378,675,889,142,101,088,848,219,425,
445,203,977,089,163,659,985,874,545,191,106,216,940,407,261,777,543,991,212,
996,900,277,121,298,312,091,415,590,061,332,787,446,655,342,649,137,853,841,
468,598,959,097,313,230,859,820,822,639,556,958,318,173,386,024,859,784,402,
715,298,948,416,572,143,657,674,091,042,929,273,014,508,435,377,240,938,000,
867,705,054,363,027,748,721,910,591,710,407,810,190,546,232,609,201,739,740,
212,854,743,725,784,755,435,843,757,797,793,365,916,860,278,413,692,915,443,
005,808,350,593,284,176,350,205,870,291,188,507,956,821,141,998,117,540,312,
262,113,565,229,636,785,307,330,101,308,669,242,078,311,362,936,199,255,338,
522,674,290,005,336,888,886,577,413,783,362,398,504,979,603,086,274,394,856,
406,969,583,798,018,175,083,728,309,809,074,235,801,692,396,312,344,803,039,
978,896,048,414,823,512,358,043,033,586,577,274,100,123,022,151,821,029,071,
531,899,565,332,645,670,944,574,249,779,355,249,432,437,471,300,851,274,668,
648,009,567,632,705,882,039,609,374,228,331,263,372,187,628,657,297,458,460,
115,607,802,771,128,922,978,678,470,896,182,720,319,403,751,962,639,291,073,
841,200,354,521,264,395,299,498,126,280,959,681,530,919,805,806,358,662,703,
545,990,341,557,668,311,574,292,414,695,686,999,897,082,385,433,882,753,804,
082,343,226,161,813,789,296,502,403,315,142,784,705,468,213,889,083,180,120,
961,427,355,246,824,263,713,399,611,384,742,001,100,868,047,836,485,299,774,
769,269,387,438,681,383,008,462,659,360,515,302,217,810,889,824,118,623,807,
810,726,509,394,993,246,230,541,322,677,918,465,371,872,778,829,213,486,612,
731,876,135,089,429,277,490,210,354,617,894,230,768,316,800,822,684,328,782,
723,750,501,570,830,106,488,896,489,424,441,078,669,398,010,190,683,473,084,
793,913,180,806,267,665,988,411,742,139,716,111,162,787,597,772,942,364,787,
624,900,737,893,159,811,708,450,235,526,844,847,766,899,330,059,542,761,913,
483,878,783,489,336,681,743,805,183,201,535,313,086,118,459,692,389,863,415,
750,045,314,989,095,626,681,350,905,386,318,448,397,930,857,005,276,176,028,
936,448,152,601,184,045,301,588,628,238,981,239,061,897,343,785,967,177,459,
312,799,471,662,143,686,868,731,571,195,912,138,297,031,031,921,306,808,606,
167,924,184,600,258,317,797,291,278,111,212,125,017,266,869,836,235,388,105,
047,041,597,389,724,820,962,531,551,416,786,194,453,991,201,748,761,107,497,
885,412,228,855,309,160,734,515,570,845,003,250,019,347,345,376,755,627,629,
886,842,173,061,370,037,748,049,950,239,644,076,263,274,230,321,468,554,936,
134,605,620,974,883,653,116,095,925,315,437,082,570,137,450,807,868,768,207,
888,555,427,984,560,178,536,093,617,812,802,991,594,437,433,147,594,917,080,
472,407,493,419,223,889,858,347,097,332,613,743,190,665,190,227,494,409,767,
873,812,623,942,849,892,571,343,001,346,947,248,364,957,279,166,566,328,293,
829,974,491,798,824,463,565,249,322,495,769,822,373,515,738,885,359,725,664,
107,178,809,003,175,269,011,113,159,148,186,170,320,836,910,063,931,744,751,
088,785,236,869,523,365,942,482,439,622,361,330,510,542,265,037,063,504,469,
707,995,619,556,111,302,365,487,403,608,325,131,169,148,244,204,137,617,768,
393,174,180,111,473,324,174,769,661,934,606,477,724,897,321,902,682,031,818,
840,646,402,485,938,151,094,748,309,095,936,861,705,317,845,261,844,464,327,
103,400,497,344,054,377,828,250,687,183,950,301,509,372,314,328,951,084,224,
700,662,699,776,991,699,082,165,104,465,357,866,100,721,925,152,571,613,156,
498,064,782,785,751,081,268,341,244,131,555,738,460,243,110,064,359,687,900,
902,011,427,912,188,640,263,170,710,544,752,558,464,661,833,016,964,751,035,
759,974,798,145,814,155,588,653,606,004,806,257,227,148,110,271,613,880,754,
968,669,921,943,813,821,212,915,621,700,477,536,562,846,889,819,554,249,190,
045,204,144,956,876,222,968,841,880,278,394,040,755,199,562,567,821,689,200,
972,645,358,173,276,399,341,964,101,055,315,086,881,152,503,702,251,099,615,
885,135,024,688,855,039,596,078,192,937,300,723,774,282,922,945,030,261,997,
995,097,609,849,387,032,060,062,448,816,561,581,568,973,593,368,718,651,515,
629,145,217,019,406,790,950,714,698,656,732,003,167,617,803,186,707,696,238,
446,643,003,364,083,546,447,649,793,636,136,672,348,413,910,219,932,165,053,
214,817,010,759,673,486,040,247,086,823,027,058,304,714,050,977,893,903,013,
084,207,532,914,545,382,778,415,327,749,283,527,168,505,780,898,320,783,271,
158,704,459,889,163,703,142,875,817,988,641,288,191,475,138,088,222,811,058,
456,938,521,493,553,497,762,348,438,362,376,626,985,676,391,278,172,207,487,
807,699,106,534,793,240,962,063,573,160,672,692,240,624,458,294,223,382,805,
771,794,283,652,250,726,631,883,737,365,872,054,276,373,826,146,082,525,829,
364,063,013,253,155,377,314,606,943,400,024,920,562,738,756,539,553,157,400,
077,648,615,390,945,570,838,702,071,100,859,588,676,341,402,994,534,092,973,
353,232,509,083,808,091,692,122,983,069,244,451,963,189,314,425,291,967,979,
637,748,966,694,871,130,555,598,424,665,660,310,506,646,211,941,835,016,955,
938,884,820,193,066,394,901,128,177,695,886,066,065,866,170,007,016,408,623,
703,328,944,817,522,204,617,385,682,572,140,014,921,125,062,769,468,511,320,
570,368,201,983,087,840,336,407,975,260,005,655,482,829,700,824,797,174,402,
702,260,137,590,213,057,421,532,229,232,971,404,556,557,294,972,724,744,736,
665,293,793,509,163,825,202,748,675,819,699,694,401,576,253,155,611,551,600,
882,631,656,539,534,456,897,862,940,507,129,863,725,962,415,552,130,011,818,
046,338,606,082,392,102,445,839,025,796,783,217,431,509,080,041,846,265,628,
496,986,694,030,507,152,012,931,652,468,077,863,395,488,779,120,279,964,483,
446,651,639,108,314,623,506,041,296,857,404,483,264,288,080,825,761,291,729,
076,500,347,338,122,008,796,503,216,034,956,645,073,184,187,966,246,748,517,
676,099,295,463,358,053,129,818,696,221,546,525,922,305,065,844,674,695,982,
267,633,670,959,773,253,338,646,333,059,033,875,866,035,966,828,976,106,890,
556,991,036,014,298,617,778,556,713,482,271,906,135,340,797,394,517,128,469,
154,125,623,915,458,253,919,590,984,141,264,765,019,594,538,865,509,003,417,
717,027,449,294,620,238,388,805,276,849,492,654,469,335,286,821,213,288,328,
006,645,801,861,180,407,428,710,414,873,690,025,598,684,463,723,824,726,544,
808,338,030,798,194,833,664,746,578,197,249,219,875,379,285,165,342,662,234,
380,277,823,948,685,936,326,419,734,200,397,039,129,841,462,756,167,239,092,
366,424,856,254,112,844,785,393,264,291,524,981,638,231,139,966,913,176,912,
340,011,009,438,979,895,193,209,329,908,192,150,392,908,064,886,779,645,561,
777,533,005,055,908,557,416,163,191,450,393,952,564,718,120,418,051,163,358,
528,352,775,216,693,472,450,781,992,326,406,547,514,591,723,840,727,822,986,
298,013,854,304,856,202,548,045,642,684,086,382,802,497,951,256,325,097,730,
229,709,980,699,661,527,011,134,190,662,006,051,503,370,838,811,641,264,775,
833,120,745,284,959,644,723,601,093,446,512,873,535,613,251,760,531,489,919,
812,800,915,517,329,126,561,440,405,474,996,635,023,752,080,694,895,115,143,
407,157,341,461,901,670,959,563,649,412,208,047,651,190,615,854,002,036,717,
114,828,227,911,700,679,712,576,125,230,540,127,927,799,403,026,066,513,445,
110,876,592,005,099,594,433,317,652,164,656,207,730,716,723,897,362,095,194,
876,991,287,557,643,013,254,124,102,982,306,235,750,889,135,504,507,836,727,
687,782,275,175,240,059,697,022,155,343,238,824,579,430,006,985,842,281,323,
172,040,811,817,461,749,813,322,946,078,775,153,010,083,647,367,272,659,942,
187,105,907,041,164,842,607,672,685,892,751,685,841,088,772,630,783,750,375,
238,283,837,731,940,684,523,673,820,535,310,309,779,069,400,556,008,268,632,
688,086,790,710,779,658,855,360,824,513,872,581,537,934,181,220,934,130,351,
518,547,998,551,749,247,939,729,664,922,854,671,886,335,747,484,138,080,842,
027,373,492,435,679,597,600,231,379,343,096,956,744,025,336,481,057,354,741,
569,246,781,937,889,997,403,801,512,526,237,683,356,200,660,482,205,245,262,
872,834,194,474,437,628,115,058,983,897,249,354,904,736,748,366,951,432,774,
677,853,133,605,424,419,749,978,757,215,621,615,315,305,724,475,451,511,737,
004,452,230,503,463,983,463,136,168,822,623,699,843,318,524,650,300,848,705,
027,750,557,436,767,531,528,723,937,341,785,927,458,116,215,365,235,919,773,
734,813,798,453,413,572,585,219,526,531,184,074,406,655,973,142,763,290,693,
118,331,422,083,683,218,244,710,168,225,438,360,158,594,370,389,254,275,378,
839,789,192,550,984,638,895,681,668,567,179,526,586,630,754,154,774,030,710,
124,767,067,550,571,090,305,309,916,705,959,591,650,991,003,822,285,487,768,
597,803,758,875,723,833,502,053,463,187,520,876,739,358,933,916,501,245,795,
060,135,547,901,075,287,840,518,405,257,692,383,758,191,476,306,527,793,815,
166,008,858,892,894,848,661,712,128,964,629,596,103,292,938,275,248,880,504,
754,536,123,845,075,536,582,557,791,162,727,720,896,225,426,585,161,023,386,
860,039,460,175,565,230,235,704,019,971,190,614,405,088,212,790,145,942,418,
737,972,249,672,733,685,833,923,426,521,978,944,057,464,398,536,199,756,605,
696,821,205,497,488,571,696,569,600,119,910,904,807,387,624,580,097,104,731,
115,014,989,907,406,776,179,444,327,393,418,128,459,518,230,359,088,830,059,
988,494,528,362,991,438,138,130,608,432,905,211,077,618,601,013,556,575,272,
705,252,107,444,733,148,616,271,171,839,455,935,149,006,318,009,253,792,467,
093,149,908,557,565,266,175,855,316,338,341,320,164,119,714,001,453,182,074,
036,338,740,634,709,322,328,957,031,179,680,453,356,348,192,246,775,239,923,
617,167,740,021,944,165,837,339,307,538,276,531,940,043,165,415,863,053,053,
591,566,028,149,619,585,349,955,242,945,500,926,905,322,989,050,846,113,426,
953,419,064,009,707,040,217,993,990,659,636,280,161,796,983,062,043,308,971,
267,244,042,960,535,097,755,776,309,769,586,180,313,751,760,535,692,937,309,
908,921,937,884,889,387,275,685,537,828,620,702,021,491,747,705,035,913,199,
957,657,252,172,668,781,988,412,846,185,871,210,032,009,839,665,935,355,853,
308,634,758,790,177,720,001,309,307,948,147,331,355,821,873,959,417,032,341,
781,780,225,527,944,349,426,025,080,507,105,477,381,294,530,012,065,467,961,
135,798,805,163,868,851,126,363,657,477,088,373,763,366,675,451,344,852,216,
056,802,564,751,042,102,319,630,228,080,337,994,828,246,381,639,902,549,076,
974,492,322,204,469,979,125,603,961,230,121,240,753,120,907,987,147,538,277,
635,476,923,102,891,730,036,572,102,429,013,614,458,364,131,385,260,161,526,
258,810,901,622,778,708,813,302,759,559,167,911,877,313,701,017,568,410,126,
497,745,415,265,609,447,103,537,555,731,037,819,473,848,490,422,739,308,470,
924,302,783,695,102,689,297,882,240,721,085,265,943,531,381,160,093,548,406,
334,814,414,774,303,385,516,512,333,897,793,570,790,672,442,698,683,374,309,
732,310,650,752,680,632,170,749,820,576,143,363,198,943,845,653,196,212,920,
812,863,852,610,279,371,888,091,454,212,171,078,707,457,165,892,691,954,694,
901,961,845,293,726,030,281,414,440,163,575,624,827,783,651,491,642,611,061,
679,628,201,990,443,557,479,315,187,619,913,925,307,486,330,330,187,131,743,
723,305,669,805,021,191,845,438,237,659,897,952,263,241,990,350,485,901,827,
860,988,570,345,080,303,041,155,867,246,738,519,966,346,619,295,409,168,884,
468,873,696,646,909,927,571,347,580,265,302,497,952,326,049,372,825,302,872,
814,608,335,929,388,969,614,102,255,511,631,073,437,961,306,347,439,959,440,
569,849,018,871,897,058,216,737,971,305,521,180,896,149,399,131,782,105,258,
332,462,047,109,725,077,783,896,098,772,478,786,371,571,623,066,242,889,553,
299,832,221,265,711,982,982,938,006,917,037,581,083,285,112,740,282,920,107,
102,611,118,691,193,172,934,607,700,158,197,256,800,951,923,617,913,338,263,
117,512,046,703,923,866,229,889,112,736,187,310,231,567,271,529,952,454,093,
652,137,005,384,171,831,246,127,250,148,374,498,273,406,196,741,740,576,131,
273,125,554,046,016,295,309,623,038,424,658,937,804,835,790,552,214,878,714,
432,504,210,854,192,868,051,712,316,516,134,612,336,363,679,841,869,673,549,
568,439,838,251,390,821,792,883,603,845,908,303,970,023,124,343,843,498,760,
211,071,094,777,017,595,240,904,928,724,207,459,311,898,024,796,420,965,092,
168,157,661,669,710,459,151,286,938,200,591,081,845,841,202,738,784,929,210,
028,983,921,928,290,957,378,342,641,489,644,188,784,508,086,597,426,769,207,
726,273,154,956,689,075,666,946,378,566,225,452,778,567,810,430,921,299,481,
527,116,105,274,276,301,147,128,166,217,822,693,447,062,241,862,950,413,609,
317,525,312,730,749,580,304,756,870,130,812,862,049,783,966,568,439,234,362,
339,120,744,289,142,893,839,533,206,602,246,707,107,314,057,725,624,984,508,
500,584,590,242,372,357,576,000,254,037,037,938,919,733,218,031,052,587,437,
882,266,332,598,626,407,492,672,842,558,001,083,240,115,084,155,629,610,892,
197,109,018,373,547,413,985,059,683,052,997,375,784,692,957,485,698,555,333,
437,227,306,517,664,563,336,400,303,114,783,483,152,044,797,348,570,074,885,
972,791,454,357,324,603,338,345,025,105,851,616,249,339,838,345,848,007,601,
862,963,268,869,735,530,643,258,669,320,035,811,016,450,373,328,918,151,772,
774,739,587,101,235,901,434,542,657,572,213,636,175,723,426,429,657,249,112,
842,372,964,061,347,755,556,124,239,814,314,976,310,391,838,854,045,031,273,
035,619,472,201,079,371,029,579,946,489,828,117,527,488,918,967,040,457,326,
565,106,846,192,591,429,210,181,662,560,023,129,497,990,823,625,195,941,295,
328,821,900,996,160,632,018,458,573,755,840,705,340,664,421,359,404,732,609,
944,575,343,859,230,766,752,907,402,934,960,596,093,652,059,961,858,052,615,
515,216,335,514,662,222,587,763,139,997,429,692,350,017,078,824,884,387,580,
711,200,185,230,181,426,650,352,744,908,366,654,714,062,091,404,611,092,646,
097,636,153,377,225,519,451,390,975,418,068,594,553,516,546,153,335,030,253,
734,216,125,687,818,031,488,880,448,084,432,953,277,246,561,707,684,361,238,
350,935,816,425,265,860,918,067,187,769,488,323,549,897,310,800,771,912,777,
117,577,637,323,618,283,373,741,089,841,111,648,000,803,185,363,624,198,840,
221,430,023,998,568,926,783,776,051,866,744,476,391,543,887,911,024,829,589,
148,720,457,182,662,531,845,816,945,051,549,137,988,328,431,945,511,610,456,
287,521,519,481,404,838,123,274,056,027,573,512,268,179,594,130,209,134,063,
337,475,391,046,991,969,335,757,650,263,382,557,635,045,772,015,070,191,843,
034,711,703,643,349,523,308,956,583,647,117,649,705,263,193,438,868,405,371,
297,374,330,715,871,981,445,548,590,553,213,145,970,710,320,193,458,988,290,
186,214,862,015,664,639,278,067,974,315,621,870,084,295,747,330,399,225,576,
914,941,904,673,670,002,334,431,497,235,856,917,477,740,058,659,678,594,206,
788,933,793,688,554,234,918,073,830,761,344,101,194,461,715,499,245,357,583,
819,372,618,523,656,648,313,490,060,959,194,286,841,068,038,048,747,598,786,
606,053,121,918,573,370,370,027,876,204,063,162,475,608,416,837,513,722,398,
807,966,903,765,024,732,722,684,398,132,309,019,046,459,027,691,139,033,434,
282,592,796,095,899,531,689,212,327,984,373,042,808,540,893,259,259,744,385,
818,824,612,328,644,844,459,189,956,403,544,377,631,021,606,237,960,500,266,
678,919,124,016,336,600,656,433,133,135,782,338,947,199,666,722,308,120,543,
082,830,884,291,436,082,961,299,410,485,821,718,624,773,060,799,301,575,781,
492,360,095,435,881,426,498,462,984,073,296,763,336,634,780,570,701,019,260,
323,606,994,000,424,364,664,103,170,663,273,924,717,549,249,391,768,864,960,
513,498,994,301,134,589,594,625,223,016,046,850,805,725,990,061,621,464,611,
105,318,201,152,376,570,569,804,474,380,883,171,836,912,472,841,026,778,030,
167,873,948,882,160,186,050,608,555,369,044,644,390,340,076,733,442,953,570,
867,140,542,657,502,272,538,265,429,142,208,923,564,095,540,466,763,973,794,
326,775,365,318,376,961,273,254,708,453,072,564,467,269,078,516,246,639,851,
004,015,201,178,529,078,005,524,213,654,276,567,676,692,302,189,270,896,873,
347,599,484,963,790,218,532,073,988,657,601,399,760,545,344,581,470,947,837,
429,978,177,424,828,411,515,045,776,292,289,335,772,708,592,891,910,750,299,
332,236,890,685,926,070,922,419,781,190,090,672,737,793,255,042,527,683,271,
493,691,294,400,635,349,587,670,105,834,499,149,301,378,535,107,021,680,277,
261,732,415,763,899,189,996,639,837,972,204,236,690,281,304,199,352,796,982,
735,489,889,119,636,284,248,409,173,762,250,093,092,450,483,421,593,654,137,
270,231,986,038,010,586,328,780,777,022,433,131,573,015,947,346,505,222,473,
959,965,778,094,932,165,345,265,064,069,642,240,296,862,014,217,897,587,675,
814,336,065,889,018,377,806,556,245,783,464,118,874,076,998,982,283,073,240,
770,304,549,798,795,254,469,204,821,429,119,092,202,673,162,499,052,539,587,
516,347,140,328,808,546,221,618,214,981,585,203,733,904,927,648,582,197,813,
459,259,812,220,138,594,550,994,429,176,093,838,371,663,431,522,877,430,506,
208,769,822,571,365,791,018,109,229,461,226,689,051,298,572,568,176,801,496,
410,162,617,393,195,735,373,004,027,137,831,349,263,998,288,240,976,193,424,
998,930,130,167,841,501,022,871,441,239,769,864,874,867,944,078,397,664,189,
868,278,466,234,122,118,376,123,178,702,658,200,965,480,861,127,706,038,254,
248,885,956,689,551,250,744,722,102,095,343,218,229,449,624,304,504,438,294,
405,138,623,012,667,577,022,600,616,153,359,477,918,687,102,764,510,156,937,
754,001,664,776,556,785,216,446,105,473,031,346,605,300,413,794,387,331,781,
121,655,821,932,927,199,472,816,080,160,560,731,576,088,867,615,671,592,575,
227,762,175,049,453,109,385,808,122,126,070,506,302,589,847,001,318,213,854,
902,013,611,750,225,666,888,965,782,418,493,827,776,893,796,622,929,540,621,
245,756,455,056,890,574,256,678,193,095,119,755,409,445,738,986,669,915,728,
945,162,744,624,697,158,924,396,179,786,020,141,281,296,243,762,141,953,165,
377,451,115,509,285,063,570,836,784,124,223,808,365,992,697,329,273,875,548,
235,710,606,619,752,557,513,067,660,581,864,009,875,370,880,202,992,585,380,
555,923,873,409,839,153,473,376,859,485,708,975,634,098,899,708,795,142,474,
274,826,505,830,116,205,020,858,812,198,451,393,446,703,454,153,967,796,988,
879,454,991,702,182,344,042,355,005,569,152,448,766,684,140,564,527,496,920,
558,118,010,459,600,440,490,745,014,772,417,591,279,590,136,637,066,558,298,
686,059,939,070,826,053,833,527,537,030,345,668,024,144,498,672,763,914,476,
617,125,705,892,957,909,870,835,049,152,954,578,327,202,144,278,543,204,445,
353,690,985,297,496,011,547,595,514,384,956,731,311,072,457,833,828,283,362,
181,266,830,071,365,377,974,388,453,269,221,281,802,965,234,505,336,498,559,
998,230,976,076,273,402,310,135,213,478,288,943,538,756,264,871,297,977,109,
670,379,319,539,151,153,811,790,936,606,602,035,678,781,125,907,033,100,580,
584,704,086,099,754,073,129,493,025,185,024,741,301,217,663,714,413,401,045,
519,139,854,787,345,244,948,693,089,012,382,551,429,933,362,942,288,287,498,
748,669,447,622,046,666,489,138,524,147,887,696,835,588,969,518,475,425,950,
700,146,857,449,236,277,148,051,126,339,544,771,882,823,897,515,136,770,188,
148,897,966,563,236,965,897,294,186,207,404,689,124,327,096,440,692,621,988,
207,815,339,785,086,346,598,518,947,518,832,261,998,896,941,798,241,271,626,
221,593,444,035,180,360,552,451,320,433,224,473,108,569,589,949,640,093,440,
718,940,004,435,477,876,978,360,631,873,839,711,111,571,019,884,638,555,410,
399,746,578,195,775,474,495,790,409,894,055,213,790,457,628,114,182,153,714,
875,996,573,781,698,371,565,100,186,664,763,753,829,211,138,028,452,979,486,
787,502,710,987,810,422,133,684,610,845,221,561,341,674,432,588,103,367,495,
515,183,453,292,961,247,516,245,406,955,556,105,980,401,933,063,924,984,440,
213,968,593,902,610,186,696,818,458,744,420,385,346,093,041,576,713,394,227,
732,364,134,695,343,393,498,294,724,651,060,158,756,368,871,461,726,469,017,
171,723,396,125,643,045,496,376,674,644,954,884,190,734,642,522,638,051,446,
035,337,655,875,491,886,508,672,768,581,761,894,334,018,925,024,284,344,549,
431,477,208,721,747,230,460,014,172,487,574,179,362,731,342,930,272,879,794,
944,577,725,682,428,739,139,342,894,200,207,726,386,163,036,671,789,689,730,
471,301,150,554,610,017,814,562,694,565,281,014,432,298,393,375,333,623,628,
648,691,814,343,882,412,917,722,210,655,697,303,013,471,760,901,300,179,556,
861,600,797,342,935,578,325,138,616,481,005,447,225,542,451,851,337,629,578,
062,762,944,185,040,385,082,259,933,767,056,893,434,867,574,987,523,772,718,
770,153,629,573,599,678,529,974,825,270,732,978,592,444,980,596,305,411,322,
306,178,694,659,190,471,231,307,576,899,204,725,728,829,175,759,555,338,824,
813,572,611,313,451,996,744,042,887,349,587,407,612,366,620,117,124,693,532,
593,142,394,815,176,723,896,160,369,280,734,398,238,559,211,937,618,370,891,
725,265,969,303,806,517,763,729,889,810,971,744,391,092,079,149,926,956,864,
173,852,486,017,092,459,047,214,240,011,416,816,991,713,036,932,655,839,064,
904,683,440,248,482,417,323,874,330,205,291,502,152,472,675,565,517,232,184,
196,879,265,029,800,336,107,607,715,323,220,702,330,550,788,872,736,605,472,
179,769,832,873,535,307,230,442,440,500,475,443,281,682,525,104,198,197,490,
909,704,561,833,618,319,180,222,653,034,365,294,463,590,036,234,942,586,479,
537,367,751,158,929,385,160,633,021,090,829,921,246,625,048,210,675,546,946,
588,212,343,665,418,617,163,921,375,198,139,344,219,109,785,448,728,780,590,
750,686,285,105,116,020,276,024,400,154,001,937,197,833,715,974,745,320,834,
807,082,317,931,888,450,643,760,193,389,189,853,622,342,493,985,731,932,713,
631,317,457,296,809,351,674,402,708,067,698,431,587,107,145,059,864,707,836,
796,960,116,914,290,947,172,665,972,344,633,703,625,296,502,497,720,806,259,
310,798,701,184,501,380,391,751,728,417,965,966,534,395,799,601,360,518,073,
393,140,357,450,100,901,322,257,132,498,430,345,488,085,407,371,718,452,926,
250,039,509,206,218,625,095,044,792,623,981,789,301,032,704,099,933,560,713,
940,926,663,251,882,496,522,482,451,424,615,350,478,850,598,013,346,518,726,
350,373,628,099,274,704,784,331,157,309,957,353,662,950,460,013,758,987,579,
873,646,559,454,545,369,017,028,194,328,285,587,566,088,047,284,732,594,419,
245,703,301,091,191,632,191,715,278,630,203,229,799,645,422,665,012,899,241,
672,453,693,222,026,084,814,312,194,424,237,520,540,977,832,761,598,890,841,
746,917,829,543,286,216,245,247,289,438,896,721,924,591,061,628,046,356,386,
368,457,050,838,088,583,029,116,497,435,790,493,901,388,878,535,549,436,660,
169,184,871,896,821,607,392,003,615,235,763,938,551,182,691,391,465,941,712,
114,018,463,273,848,899,699,017,882,458,137,101,221,611,097,550,051,511,063,
585,387,953,747,562,884,202,447,793,057,886,031,794,901,608,784,577,509,374,
437,095,909,663,485,349,395,201,582,038,955,772,939,302,729,897,887,439,509,
422,344,336,992,290,198,301,417,097,864,227,564,524,524,670,987,185,540,532,
516,909,354,711,969,203,000,425,193,894,830,995,901,314,065,166,077,462,654,
718,904,545,371,870,605,982,177,002,573,594,388,500,873,789,133,616,777,734,
413,435,957,657,107,867,526,146,942,460,694,757,633,036,944,048,624,923,532,
145,302,509,280,500,408,579,195,522,283,904,881,983,076,771,006,207,266,739,
993,852,701,808,745,170,915,010,149,118,939,529,659,404,005,485,449,525,006,
346,747,182,703,978,330,686,307,201,625,659,713,139,056,953,411,745,461,674,
119,715,161,368,418,561,023,343,331,515,248,478,111,555,326,373,074,814,211,
695,525,766,410,783,907,402,938,456,170,554,520,443,490,357,600,612,542,239,
407,733,440,812,698,581,047,903,675,346,245,861,880,070,478,836,597,190,893,
674,924,105,107,542,426,055,573,036,957,854,792,098,177,755,293,731,686,049,
841,244,669,793,529,495,990,879,449,807,410,562,460,742,925,781,576,286,977,
151,194,803,163,791,553,512,027,785,428,174,993,544,824,444,551,457,175,811,
136,811,852,650,329,013,088,819,294,665,568,992,739,328,714,325,827,189,620,
930,243,067,509,431,964,161,497,304,560,349,862,987,816,110,135,916,513,718,
631,260,886,499,651,379,564,618,583,176,710,445,090,499,652,143,818,582,117,
055,497,566,591,556,962,648,366,255,883,174,489,182,038,661,548,503,642,287,
305,028,114,687,681,079,072,421,668,171,908,239,602,835,325,972,550,086,245,
235,867,039,594,442,236,715,188,098,101,757,095,930,933,295,074,135,550,940,
028,665,594,125,786,284,074,551,109,042,923,719,588,578,633,349,178,062,367,
296,786,685,384,089,291,089,794,177,305,648,812,163,390,996,596,640,006,940,
054,182,238,911,426,888,727,792,133,112,485,448,592,305,318,518,660,587,470,
708,149,695,380,129,130,946,869,253,191,496,505,007,544,119,760,107,483,697,
456,488,719,693,361,286,409,823,749,162,539,256,578,701,427,623,767,822,329,
079,770,496,907,518,768,789,791,301,472,918,025,241,456,738,039,667,918,033,
754,537,771,345,757,856,252,155,859,365,245,258,967,427,326,537,651,853,874,
846,897,197,249,228,944,084,231,817,316,224,318,296,690,505,311,395,156,382,
330,772,955,333,922,378,777,410,659,980,965,539,556,894,161,290,033,816,934,
603,253,217,808,390,105,515,195,817,039,839,679,881,883,115,697,337,163,154,
831,321,140,956,288,483,750,077,935,170,437,788,835,919,376,733,041,877,371,
619,888,791,767,162,127,181,277,436,748,971,051,370,955,548,038,558,990,072,
789,356,676,750,907,151,256,678,422,647,062,798,233,622,962,328,426,172,109,
747,681,176,480,150,165,221,190,303,676,518,141,999,242,260,299,027,560,374,
904,663,431,512,909,595,486,596,631,678,285,840,835,162,037,267,906,829,904,
864,438,051,495,863,737,049,631,589,714,398,018,950,737,549,111,047,378,723,
923,820,569,143,052,315,064,894,934,055,114,661,588,392,816,830,857,799,499,
368,968,862,170,498,416,822,016,870,905,616,714,479,849,704,399,034,384,887,
647,470,884,527,753,196,516,934,685,440,242,926,966,234,405,270,849,178,109,
953,223,946,717,493,809,314,546,068,777,880,568,286,123,116,957,891,793,394,
337,297,279,905,362,394,551,134,840,187,687,524,170,259,487,003,202,686,377,
433,892,949,555,319,274,587,143,396,128,042,401,534,157,113,700,961,412,455,
664,747,761,477,808,188,118,441,023,462,384,524,409,175,766,571,130,798,678,
991,654,468,522,063,568,040,447,670,360,191,413,526,643,444,091,979,342,150,
672,101,341,488,243,337,429,164,177,938,273,697,009,231,269,863,233,965,946,
121,800,108,163,882,114,553,167,043,662,525,976,255,004,696,112,738,790,862,
712,483,076,490,319,650,594,102,287,324,849,789,572,306,413,668,740,482,326,
461,148,772,493,265,453,707,770,629,849,746,419,676,175,514,583,280,539,792,
615,447,119,981,595,579,715,809,667,088,512,046,278,752,927,389,545,852,984,
648,395,594,345,126,756,078,826,240,924,216,783,011,520,767,360,225,556,394,
021,442,815,814,985,429,865,217,199,932,660,385,621,317,266,746,065,138,541,
014,157,246,537,547,598,795,321,408,621,506,019,446,632,059,786,197,399,034,
198,249,458,012,589,195,638,237,116,682,054,525,938,221,585,949,389,248,971,
373,691,997,457,180,818,831,950,049,525,169,289,191,576,729,908,453,723,225,
913,272,714,160,368,837,176,730,188,295,365,417,958,920,595,913,887,676,955,
796,907,748,179,630,624,071,753,142,588,067,578,714,912,239,110,282,234,861,
210,738,411,816,440,098,316,878,684,917,005,183,707,896,546,150,387,381,510,
687,444,759,296,674,001,755,540,179,539,755,114,082,323,722,161,518,818,457,
854,328,722,487,324,626,999,507,968,559,683,250,778,736,069,333,199,080,177,
670,251,895,702,617,052,789,317,176,122,882,294,007,754,792,071,526,128,211,
811,877,164,311,513,284,305,467,653,200,088,339,811,587,032,223,735,943,290,
420,144,665,667,587,773,005,050,539,360,019,715,984,275,185,901,277,989,427,
464,323,319,807,757,980,386,053,027,015,094,165,582,178,438,306,353,762,363,
772,959,572,428,266,029,844,307,005,943,858,651,579,454,674,190,774,523,994,
035,309,491,283,715,952,191,359,889,923,841,742,231,926,602,349,618,446,503,
224,990,334,993,101,094,012,263,395,764,398,099,416,926,256,949,902,943,943,
018,233,122,052,960,167,365,104,209,888,334,204,918,960,239,245,007,585,555,
550,641,169,884,346,865,588,824,206,725,689,850,427,977,758,497,036,459,411,
039,172,062,925,377,077,694,732,506,261,070,224,353,034,030,972,118,496,556,
820,142,062,732,894,471,428,538,955,962,535,404,096,691,197,778,548,118,509,
336,490,815,777,203,280,295,503,735,285,960,031,118,241,538,916,812,256,521,
061,900,126,032,255,356,527,063,283,828,850,822,774,159,276,284,100,143,623,
760,791,537,028,186,585,540,819,973,369,980,790,485,866,879,702,528,946,775,
152,869,653,893,523,105,642,117,563,090,311,247,624,314,580,135,194,965,281,
955,989,193,497,678,139,891,627,799,456,908,362,906,040,845,584,512,373,480,
566,355,176,277,656,580,711,312,196,667,856,342,042,677,385,872,198,361,682,
207,361,038,951,951,408,923,317,525,350,974,653,366,451,715,793,533,340,164,
847,200,034,891,731,307,170,402,890,263,330,913,322,812,187,523,977,214,715,
163,564,169,512,819,551,886,115,829,527,737,612,027,264,402,179,618,480,880,
496,089,196,919,225,617,147,813,321,268,664,079,451,975,570,582,603,821,974,
232,835,066,076,858,778,569,763,824,504,715,921,490,952,108,927,253,744,002,
348,906,111,145,412,807,415,617,811,531,664,936,294,961,049,530,657,968,369,
721,531,202,811,100,866,785,575,639,577,588,276,987,570,006,734,767,138,646,
278,174,885,243,368,361,149,156,330,700,659,225,004,311,348,000,442,552,107,
571,414,371,687,413,617,703,364,303,472,804,972,090,655,506,036,080,700,265,
546,846,873,130,928,069,817,234,055,687,403,325,988,068,119,269,859,013,531,
965,492,050,139,945,016,464,332,448,491,499,615,661,816,905,968,288,380,814,
831,098,320,313,735,388,572,828,252,819,948,235,603,141,994,253,053,605,668,
148,439,923,418,990,787,025,771,246,272,406,301,629,067,188,705,742,902,589,
205,260,188,448,465,441,319,383,528,212,665,823,607,829,385,067,970,485,542,
715,160,694,892,181,785,123,669,991,826,065,381,795,697,891,397,593,179,004,
955,668,501,087,911,580,656,290,353,402,352,319,711,871,549,115,010,470,908,
908,493,753,533,094,796,803,856,797,179,752,422,015,253,422,235,030,017,439,
868,452,421,130,256,571,576,108,046,854,335,592,326,242,571,617,152,855,858,
322,785,769,906,348,732,871,027,934,964,356,356,674,385,536,781,635,627,284,
066,051,483,529,294,056,480,107,944,560,520,360,811,333,819,715,959,865,356,
846,223,311,552,143,299,070,187,112,006,607,416,078,079,890,527,340,717,074,
058,772,254,167,448,746,088,561,162,128,036,288,194,937,217,407,886,136,002,
776,257,379,473,953,956,383,247,497,198,750,959,809,137,904,228,780,921,010,
462,669,824,201,336,919,003,906,870,891,997,606,122,278,860,807,494,094,955,
635,412,983,886,861,648,357,612,861,442,693,736,228,622,114,219,647,433,771,
722,467,658,230,105,129,045,997,558,781,245,231,641,904,776,804,858,069,051,
048,037,591,517,101,620,648,716,995,352,068,091,089,237,947,705,551,103,149,
183,393,544,216,654,719,236,974,357,758,737,404,885,911,432,435,851,567,320,
990,708,670,728,656,151,820,115,174,017,069,415,213,147,982,713,370,031,491,
715,758,812,114,153,757,631,553,543,932,858,529,248,649,227,997,187,288,975,
848,073,332,923,366,922,425,032,993,214,480,177,363,206,355,519,908,191,620,
731,492,738,321,137,611,720,078,644,948,215,436,506,903,586,276,081,516,392,
300,357,092,149,331,463,581,331,606,086,135,260,410,214,656,825,093,490,521,
284,699,105,843,219,521,517,039,446,514,867,539,382,444,477,763,183,043,417,
952,643,006,440,083,745,589,616,055,663,206,962,778,482,078,970,855,406,936,
766,848,489,235,259,696,456,221,528,717,822,488,328,059,161,682,993,837,955,
013,562,013,205,065,558,773,219,510,708,725,519,651,609,055,991,623,536,507,
053,564,099,585,418,560,343,664,388,545,100,219,472,063,448,297,432,432,448,
928,783,531,530,915,900,066,718,927,281,527,199,716,213,857,581,831,032,460,
627,823,256,312,780,735,326,168,441,063,786,882,039,259,446,095,108,003,767,
421,113,584,265,306,240,362,871,485,960,915,202,601,949,832,660,584,141,159,
466,200,329,890,603,503,614,472,976,823,550,205,238,765,254,417,528,913,145,
564,286,234,280,743,913,262,734,774,440,853,784,665,874,639,386,151,162,011,
326,788,025,851,145,913,924,213,091,772,352,922,467,820,453,813,049,410,422,
207,529,683,336,926,609,085,388,480,756,572,160,224,032,274,101,508,590,557,
186,242,078,816,202,423,610,713,102,397,322,181,809,883,164,896,434,776,641,
083,526,471,181,642,549,723,946,964,192,662,663,866,353,366,368,800,596,718,
097,034,767,797,449,016,544,862,584,450,676,811,062,007,539,063,437,784,489,
150,537,866,997,040,536,337,005,582,785,171,209,600,380,195,503,994,424,083,
169,528,787,263,630,681,370,786,865,118,443,834,459,403,352,240,589,606,582,
869,214,545,114,090,694,023,807,769,761,388,581,219,649,740,593,377,783,557,
846,575,096,012,742,182,774,119,610,088,011,465,354,660,845,952,036,195,288,
106,340,284,539,206,508,208,873,567,932,864,152,460,692,198,300,057,491,312,
304,024,945,751,546,816,406,825,809,412,934,671,955,021,574,587,225,149,564,
112,447,592,153,545,278,644,678,122,287,293,677,879,826,945,384,607,889,533,
113,183,707,512,758,947,272,896,906,833,795,284,219,870,225,676,270,880,150,
419,141,280,429,665,031,518,346,719,095,148,101,421,433,770,470,970,879,440,
874,058,789,962,321,788,110,854,685,938,699,799,744,380,433,823,085,414,484,
183,141,928,772,053,787,273,627,840,024,435,712,297,913,460,451,418,122,916,
002,400,312,053,949,010,252,282,195,562,976,143,324,214,667,440,041,452,085,
015,924,514,240,866,286,734,982,996,245,570,740,518,426,797,521,922,343,384,
554,877,800,435,896,447,651,435,113,838,181,106,965,059,179,708,489,158,003,
238,544,594,718,458,549,533,734,393,817,333,954,993,594,235,295,836,358,016,
844,590,082,883,972,877,014,656,823,707,764,394,626,672,613,977,844,631,713,
299,215,716,129,845,461,367,087,174,355,858,315,909,127,754,761,298,571,190,
519,127,788,870,018,734,124,671,215,380,630,034,426,190,308,767,752,837,225,
621,174,785,895,183,572,521,814,779,059,506,594,926,891,816,226,230,519,856,
860,894,221,321,668,058,299,197,951,762,397,582,199,024,753,410,080,320,884,
826,569,522,292,954,497,740,013,893,074,901,279,306,249,865,024,145,399,094,
756,970,731,541,951,828,601,591,677,004,808,917,270,705,455,211,302,708,084,
974,197,943,293,413,770,910,683,440,006,138,239,480,312,035,336,686,819,974,
588,942,011,777,058,369,273,167,337,829,957,439,248,732,425,127,793,988,545,
092,899,723,536,963,403,787,235,842,144,360,902,973,182,355,255,385,732,614,
609,863,699,742,752,290,135,571,354,078,198,716,143,420,815,752,327,834,846,
608,293,260,502,369,962,139,118,886,692,302,050,784,259,404,504,398,953,536,
756,108,198,404,737,123,514,577,411,171,882,950,184,681,635,145,844,582,919,
868,445,213,514,040,181,343,602,380,750,552,000,280,223,962,449,637,749,007,
885,721,893,783,172,205,148,369,248,598,548,242,602,476,901,175,312,294,914,
461,200,098,538,653,181,957,776,527,855,712,822,036,523,097,791,434,341,737,
849,386,425,809,164,625,206,209,534,085,556,084,776,214,827,277,247,394,638,
126,188,101,574,121,644,012,770,769,246,713,711,124,285,158,346,579,122,368,
340,508,221,846,202,313,965,532,700,025,532,774,895,671,399,551,850,188,150,
954,329,769,997,237,104,701,673,096,025,525,321,753,845,821,443,619,411,425,
442,980,370,999,559,646,934,576,472,249,424,862,568,351,483,818,688,440,600,
519,550,182,715,503,111,893,282,565,321,914,386,754,984,573,313,479,866,739,
338,643,874,308,988,355,354,035,060,804,703,621,131,024,451,517,870,249,122,
539,625,870,826,205,593,030,085,779,529,451,531,350,620,465,652,348,922,022,
254,350,441,942,071,320,699,377,484,436,420,185,904,021,217,440,880,820,192,
433,381,731,020,195,162,303,793,023,673,909,454,070,847,011,897,142,891,970,
511,410,920,654,834,387,567,262,757,374,722,881,280,965,156,197,165,530,400,
022,662,737,872,028,523,376,026,664,741,653,988,673,062,294,547,870,438,755,
613,894,473,182,817,300,560,288,003,371,310,199,207,315,320,901,525,673,367,
484,780,978,407,229,663,663,670,321,321,524,913,711,219,401,071,039,953,830,
819,035,584,525,282,077,802,593,739,282,513,819,880,718,585,633,374,995,076,
327,307,237,670,242,718,998,690,391,912,397,437,224,098,394,487,909,045,813,
264,720,347,190,341,665,287,072,598,668,567,213,133,989,172,314,360,949,052,
296,812,801,420,425,268,940,201,497,683,622,546,064,063,084,428,917,338,424,
697,162,702,083,332,147,807,240,943,666,296,199,408,567,578,228,961,944,819,
374,548,709,425,602,651,237,041,496,541,340,567,324,092,944,338,333,871,322,
139,381,288,809,584,652,602,559,163,130,260,907,546,239,060,131,755,824,976,
912,691,804,058,785,478,115,722,423,815,617,934,616,425,315,563,577,524,667,
251,471,637,921,093,823,071,170,498,117,690,147,986,496,070,754,950,489,935,
297,126,319,057,644,753,913,751,975,686,354,649,366,273,743,780,603,513,914,
860,097,290,492,460,060,841,526,632,014,406,957,888,204,099,430,246,961,597,
268,529,286,563,214,148,771,394,367,150,110,772,808,284,616,973,925,966,281,
566,874,439,471,510,777,709,519,766,496,246,234,379,403,907,328,669,717,373,
052,031,652,015,932,096,189,472,478,076,424,787,624,062,429,380,732,158,370,
343,364,363,224,953,866,490,681,190,903,722,277,338,193,481,216,268,282,988,
714,901,059,517,136,134,031,175,641,837,724,439,454,573,096,856,788,124,012,
818,137,197,609,144,610,520,168,889,586,154,989,308,587,939,400,551,671,324,
279,442,480,005,764,007,980,260,608,605,229,764,362,593,924,759,983,609,543,
914,749,037,961,150,348,302,642,235,854,735,125,152,931,356,341,542,238,965,
336,262,692,038,210,995,732,888,909,957,013,845,714,419,413,950,089,133,015,
443,281,648,569,730,132,366,484,739,429,053,660,579,647,543,771,353,558,522,
978,356,523,819,397,626,012,181,773,934,327,901,663,684,562,520,265,296,590,
035,825,476,040,307,457,918,480,913,753,329,131,479,085,773,430,402,060,286,
332,337,711,847,893,967,406,183,193,639,790,157,174,814,343,102,754,139,741,
865,364,282,344,517,181,020,797,429,158,302,781,527,954,246,702,878,139,413,
056,901,417,471,058,901,553,161,048,988,052,359,211,906,372,262,014,478,214,
090,811,371,515,495,278,084,572,269,547,873,212,316,363,981,658,984,130,857,
306,395,620,131,564,549,788,991,352,793,903,975,202,573,754,102,712,415,471,
591,898,022,326,016,002,550,600,386,068,957,975,830,870,435,844,127,971,295,
683,821,425,773,420,672,637,043,526,699,504,848,394,170,377,413,176,906,342,
560,323,298,557,720,040,051,637,116,628,812,879,201,011,760,011,586,404,372,
768,440,821,844,789,730,188,436,927,971,598,648,922,083,966,269,304,196,464,
572,148,800,935,151,810,226,237,563,557,413,399,185,181,425,279,014,490,334,
009,887,869,035,918,706,976,487,063,734,709,434,527,610,069,045,886,084,370,
850,801,629,307,346,994,567,197,367,609,848,283,369,282,875,210,110,300,237,
601,132,020,892,663,090,676,254,430,119,433,742,310,287,515,483,349,821,504,
658,029,840,437,001,280,459,367,553,477,438,951,999,550,328,001,915,814,653,
504,730,872,450,609,809,070,890,492,461,397,273,039,342,811,349,249,798,921,
502,409,778,562,930,880,684,078,820,736,031,346,079,441,506,613,765,459,383,
129,629,715,091,919,104,113,961,640,821,121,892,514,274,112,605,750,873,813,
491,315,797,680,143,236,369,283,713,693,635,104,708,271,484,131,791,987,057,
374,081,174,801,369,369,688,098,666,764,848,688,629,687,744,407,571,448,225,
753,340,443,781,567,531,654,228,013,307,327,573,368,414,428,650,723,463,727,
209,490,680,452,928,839,596,853,115,653,200,552,647,874,956,949,063,226,714,
599,283,714,291,039,084,800,103,025,088,690,606,861,531,789,239,038,827,505,
297,638,024,722,946,561,067,112,026,235,470,119,965,562,352,619,468,480,304,
452,818,392,910,830,416,295,027,929,096,082,259,665,535,677,130,437,144,289,
837,874,808,301,428,428,269,782,992,632,050,961,243,057,548,691,491,917,744,
524,634,417,086,329,345,231,599,171,999,351,535,155,835,680,852,625,422,491,
872,974,789,626,427,338,583,261,153,994,057,416,356,508,338,748,578,933,078,
451,528,052,781,723,878,632,388,631,747,693,615,406,462,006,544,635,023,746,
898,743,219,179,898,994,219,604,068,936,575,808,774,724,271,816,289,789,343,
143,196,268,156,928,750,948,064,337,473,056,971,213,286,376,339,144,268,914,
971,077,288,828,673,856,205,784,929,172,882,655,435,302,311,541,622,961,365,
328,716,716,917,599,264,468,396,371,168,669,461,288,489,028,112,857,514,111,
839,530,222,058,268,106,268,147,148,086,675,529,382,447,202,165,157,062,315,
255,945,014,139,145,632,185,688,519,107,704,829,269,442,242,152,820,284,024,
876,686,874,925,188,012,822,348,716,583,192,971,389,947,534,052,572,227,052,
758,694,105,208,123,015,887,595,789,032,522,389,973,862,708,393,033,421,481,
440,702,303,457,280,860,582,617,867,020,065,918,103,455,194,875,902,707,850,
203,072,534,523,538,877,891,071,249,691,916,969,691,709,601,005,924,761,688,
297,685,872,125,902,309,329,297,150,345,709,159,876,938,198,084,169,023,774,
419,770,592,071,160,676,594,280,945,917,018,848,788,671,591,114,403,558,192,
577,488,373,375,443,924,950,510,853,724,497,575,520,041,158,381,503,361,428,
694,050,122,016,975,313,594,984,888,000,162,561,024,912,659,113,104,002,733,
340,529,189,152,790,783,802,208,566,857,979,686,357,146,181,261,373,020,840,
977,821,031,789,532,093,658,337,109,648,965,426,726,849,044,772,254,119,189,
139,460,492,726,334,822,492,392,934,263,253,691,966,396,499,839,786,538,911,
026,703,423,525,928,964,345,316,869,646,413,237,203,237,390,782,966,672,061,
411,785,637,973,970,634,019,751,298,128,377,124,937,071,922,526,317,346,190,
631,277,505,800,395,425,540,401,089,255,645,458,336,701,420,739,893,195,594,
871,576,627,984,927,250,812,821,303,671,898,125,952,027,293,676,124,782,452,
054,400,900,764,729,259,866,278,852,015,153,927,159,474,333,890,172,337,775,
963,461,177,605,075,455,819,643,158,804,872,057,591,526,693,840,345,203,760,
085,420,973,463,768,703,889,698,035,266,830,997,151,785,177,686,476,934,266,
480,834,631,645,339,066,513,562,516,938,953,067,668,230,932,459,950,020,466,
905,718,356,239,316,081,240,214,472,215,471,901,614,528,729,941,847,812,902,
469,467,860,776,330,528,611,168,340,050,472,145,368,500,376,090,655,572,119,
777,290,949,124,593,528,126,376,052,437,176,812,884,426,006,689,242,307,635,
314,301,948,393,537,690,405,166,132,008,266,232,346,231,101,341,259,453,348,
517,006,275,663,975,943,456,886,114,593,577,068,741,130,960,213,319,727,038,
584,125,459,582,226,922,278,980,858,886,946,943,175,948,498,039,359,422,458,
997,023,190,137,773,272,456,184,686,381,078,238,762,362,184,057,292,734,163,
271,616,868,727,463,613,373,809,397,206,994,843,574,492,421,822,251,995,421,
520,665,705,237,013,098,274,302,244,829,490,083,566,901,722,577,911,905,599,
295,127,598,679,841,257,295,298,824,347,453,616,052,059,374,893,000,268,612,
331,017,875,947,732,883,030,848,351,322,013,130,731,419,700,461,951,023,805,
219,958,798,890,847,555,997,686,336,922,706,621,771,212,506,808,331,130,102,
333,148,071,616,411,240,378,097,433,184,174,386,552,931,042,309,061,171,903,
717,567,050,922,078,076,962,956,999,483,988,848,397,122,103,814,039,409,260,
256,731,722,676,245,162,335,212,815,769,256,521,096,010,802,422,345,752,233,
457,266,619,127,367,241,121,880,873,762,876,923,460,393,934,478,802,507,069,
709,134,172,964,071,124,778,669,171,362,404,130,576,707,437,954,499,235,532,
318,882,935,388,808,318,857,627,711,187,541,409,512,043,438,818,652,236,188,
248,293,752,677,880,516,023,103,776,565,596,368,921,042,684,119,888,439,966,
523,660,736,217,583,101,371,094,242,486,041,141,296,278,143,347,250,210,882,
772,895,827,133,957,830,642,553,920,698,261,813,022,724,895,281,487,947,831,
090,210,616,260,011,472,026,937,438,914,245,988,961,295,754,973,146,721,745,
425,353,364,910,122,056,009,419,425,140,561,264,739,708,424,676,123,874,478,
965,197,937,923,160,773,541,203,544,105,200,599,538,533,158,217,510,351,118,
620,631,643,954,020,138,245,878,764,650,542,020,744,559,385,790,023,504,522,
737,244,312,932,492,677,859,232,938,209,070,503,636,490,597,224,755,737,238,
075,780,510,652,555,648,582,933,605,229,755,116,286,404,463,523,867,524,462,
317,248,218,889,571,390,359,259,102,673,362,566,027,853,723,511,398,606,463,
932,814,504,420,942,224,401,862,643,783,828,561,768,682,759,648,850,626,922,
526,535,851,601,559,829,899,525,603,235,703,362,690,675,294,028,069,304,426,
042,997,411,971,777,933,477,089,573,182,231,874,839,852,245,947,361,161,813,
261,232,305,134,850,495,532,095,806,040,095,921,030,099,172,095,968,805,453,
827,430,110,255,845,964,078,197,210,484,817,562,443,891,398,374,280,787,827,
290,059,368,616,184,218,879,479,550,184,668,615,581,746,803,433,019,538,177,
014,091,908,607,732,607,947,055,880,681,452,112,979,360,919,529,555,678,658,
014,238,918,085,801,886,167,414,667,085,112,878,202,276,828,415,881,466,837,
225,398,732,568,051,907,701,831,192,662,413,334,264,294,516,815,122,378,907,
355,406,641,743,317,892,599,175,930,962,710,780,265,453,820,903,007,206,251,
659,466,732,025,162,483,113,920,386,976,777,587,900,290,657,080,841,082,702,
796,698,501,929,542,393,157,344,295,750,721,445,289,184,883,750,303,994,790,
172,996,276,127,465,086,646,122,504,846,669,449,934,080,338,644,440,484,048,
675,062,872,805,175,891,022,487,799,153,402,467,256,434,655,676,962,800,712,
168,090,965,424,340,339,925,521,291,892,074,722,079,477,818,697,806,425,226,
648,758,717,726,049,864,126,670,074,519,370,653,034,648,401,530,360,519,517,
843,759,271,278,884,641,003,553,707,476,106,372,785,008,863,558,185,738,097,
092,130,841,571,182,579,624,681,016,133,925,849,287,757,463,476,692,698,510,
841,768,576,092,082,488,653,887,789,585,357,514,104,463,034,501,410,307,281,
331,522,264,454,937,209,147,618,915,162,165,664,140,978,581,040,896,595,858,
700,496,595,089,675,446,444,904,749,593,805,055,049,238,117,836,264,143,820,
270,699,706,718,997,050,622,219,837,271,869,676,882,109,424,594,407,647,518,
605,983,386,657,989,691,422,905,322,506,235,034,918,461,213,953,400,868,047,
536,325,518,813,198,325,283,497,461,765,282,676,782,358,055,753,761,753,079,
014,657,813,504,169,676,189,834,810,601,708,399,517,749,652,038,022,331,965,
086,612,617,026,830,910,961,762,243,213,856,870,503,851,301,617,056,701,207,
717,541,639,777,083,401,491,934,138,124,525,442,086,260,102,983,040,454,157,
211,072,598,740,807,226,723,835,005,790,270,686,330,193,440,004,869,618,661,
154,228,253,721,821,669,177,667,178,480,497,760,231,985,778,263,828,429,167,
768,619,449,099,082,058,899,535,436,128,925,248,437,645,897,211,419,454,566,
957,937,204,818,598,375,632,077,678,882,806,900,648,081,923,673,015,145,018,
813,215,287,378,680,607,906,276,088,228,296,195,552,975,339,908,591,772,480,
539,986,383,794,163,342,268,688,455,026,659,361,049,524,133,642,689,390,383,
983,157,396,032,148,431,401,098,558,040,079,710,921,345,383,077,589,235,317,
308,659,903,768,127,479,703,684,327,755,838,005,432,852,766,566,921,135,784,
671,922,589,305,643,057,278,170,729,337,260,469,155,993,876,669,650,393,473,
911,202,460,119,165,234,689,784,216,192,289,096,722,299,034,903,076,576,501,
751,383,695,409,230,368,045,210,598,044,546,088,428,809,156,853,298,499,129,
179,455,653,581,431,213,199,043,363,649,378,280,730,748,123,422,106,753,704,
561,653,352,647,771,119,443,749,698,260,896,141,508,438,666,342,928,179,276,
225,375,695,304,505,472,189,211,796,150,280,287,684,442,580,807,064,032,430,
533,226,648,998,512,163,594,542,578,499,077,914,258,548,626,640,141,572,343,
867,960,483,713,007,912,254,583,460,695,391,956,778,588,644,741,911,372,630,
851,803,125,177,790,703,943,713,070,323,207,833,498,158,138,724,557,618,985,
661,757,253,699,082,226,527,751,911,670,695,565,832,390,424,590,431,141,452,
121,172,863,335,995,567,189,036,953,002,220,247,775,838,335,458,883,664,844,
578,614,009,035,758,609,829,310,652,772,693,223,023,179,251,868,038,537,221,
589,957,290,471,054,855,906,628,174,191,093,316,992,108,682,739,468,680,791,
086,187,754,042,764,980,917,429,965,741,214,410,548,045,821,867,789,165,127,
805,928,678,740,565,712,988,521,775,692,534,990,867,771,895,472,317,417,834,
917,085,420,302,384,639,341,253,301,658,168,625,541,201,565,796,195,158,176,
148,428,017,831,539,392,727,049,650,955,468,232,867,025,425,667,433,670,971,
814,239,516,100,954,110,050,639,602,057,009,791,419,865,455,875,713,177,497,
452,892,970,600,783,022,447,123,708,234,626,967,953,642,153,128,488,444,732,
886,883,907,422,397,186,052,028,067,654,401,113,153,169,793,360,233,272,191,
447,541,316,254,354,849,804,319,472,342,024,730,215,418,863,507,273,855,635,
300,086,904,369,694,250,673,402,581,305,223,872,744,780,278,408,576,722,533,
894,996,748,413,945,922,636,399,995,703,917,404,922,836,413,726,986,622,428,
062,389,910,335,355,980,570,160,481,365,846,201,846,908,091,979,908,445,598,
373,795,359,913,762,351,769,428,902,812,199,114,543,705,376,297,121,832,707,
134,355,551,047,831,295,750,676,829,467,902,162,642,788,282,291,113,525,102,
226,534,242,328,607,878,134,360,100,960,608,308,597,283,520,048,439,806,097,
160,656,808,072,603,845,175,928,360,263,625,916,635,549,021,433,778,522,532,
481,981,051,041,566,174,260,395,547,263,597,914,402,257,654,705,910,552,683,
898,162,331,159,669,040,504,369,884,287,441,765,397,337,667,948,328,333,102,
067,076,843,040,960,881,883,518,504,584,359,660,538,674,591,177,390,693,359,
693,128,038,157,374,392,839,605,740,984,406,389,037,466,032,183,787,012,478,
016,697,008,683,421,080,158,393,298,634,879,293,562,304,769,292,472,356,343,
040,445,817,366,429,313,314,641,114,770,206,283,080,704,798,395,794,282,841,
770,320,233,104,275,062,618,922,988,478,824,374,613,222,198,522,903,836,462,
867,278,534,641,330,093,916,423,143,977,182,887,457,305,145,897,780,367,011,
482,773,218,777,788,713,718,294,295,894,700,733,250,649,462,978,445,058,392,
147,242,522,327,869,207,811,407,587,625,544,565,264,940,417,106,761,483,793,
948,074,435,789,273,543,719,486,447,697,468,105,209,212,838,534,463,053,631,
805,590,939,389,541,652,015,619,658,564,082,027,897,142,412,419,294,423,590,
558,616,093,993,563,721,570,648,766,964,394,241,816,814,868,763,824,478,363,
122,521,346,216,422,206,803,273,184,352,491,957,259,485,052,274,395,333,052,
749,597,103,787,886,147,127,480,077,333,614,949,446,727,968,799,310,703,914,
261,931,534,664,151,311,230,556,352,280,778,829,650,139,976,406,146,679,904,
610,042,835,290,908,086,634,735,243,710,819,444,076,167,242,316,660,403,023,
283,691,115,486,982,976,851,442,901,437,502,821,422,688,587,352,269,302,592,
184,214,746,566,691,903,222,215,906,497,518,473,741,618,961,618,519,119,918,
091,324,755,717,599,420,838,357,621,565,498,683,561,832,271,769,763,954,282,
729,371,689,920,037,783,532,601,627,843,782,089,885,524,147,640,727,656,598,
868,493,341,781,977,381,994,500,705,451,087,342,118,098,229,337,881,817,314,
375,278,986,374,229,893,030,821,036,815,400,375,715,943,712,306,797,744,070,
411,914,693,240,602,479,367,864,043,343,228,868,985,219,540,052,675,371,537,
166,329,878,898,893,344,130,275,144,369,531,375,025,879,401,555,686,221,930,
215,881,741,343,086,972,038,199,058,525,679,914,293,867,351,275,534,462,171,
314,969,624,634,162,988,933,338,733,477,164,976,702,673,627,912,091,607,939,
545,193,329,531,170,332,908,116,214,654,517,780,768,755,505,543,343,482,475,
951,343,077,091,977,930,925,337,351,591,066,682,902,008,895,424,242,242,936,
552,824,208,042,149,687,044,461,700,117,737,562,431,685,761,111,182,080,800,
021,876,459,237,684,822,641,472,213,852,469,812,964,037,987,019,353,534,096,
540,928,507,476,373,407,393,264,736,221,886,946,509,407,757,676,704,663,404,
410,191,949,136,614,715,752,447,170,305,772,034,855,185,395,654,395,314,283,
392,222,791,562,571,857,270,651,872,465,512,421,750,344,387,396,560,887,915,
495,105,440,197,756,485,556,638,999,568,184,792,503,438,653,193,045,503,220,
438,293,073,865,879,296,701,690,722,259,513,435,516,358,229,222,088,814,363,
521,010,110,983,600,273,174,686,535,238,138,926,950,668,235,299,314,948,978,
664,045,088,378,150,458,783,891,027,342,305,925,725,297,663,816,774,579,522,
971,995,986,943,964,782,223,003,358,126,624,719,501,086,712,096,616,858,805,
228,972,455,185,585,913,659,342,775,958,625,955,833,353,374,665,688,027,884,
615,763,007,862,369,627,875,115,655,054,674,179,381,836,313,093,711,531,542,
945,016,267,042,169,989,614,299,901,761,481,300,021,268,618,749,119,062,692,
069,364,004,035,668,773,433,675,711,494,779,463,398,619,954,570,234,548,631,
845,763,838,222,547,962,411,130,468,569,256,182,956,845,614,748,352,358,090,
976,697,756,379,888,148,551,265,428,251,542,005,968,402,765,729,244,483,351,
019,469,498,424,817,852,387,283,297,336,360,558,214,704,073,822,493,612,430,
257,056,537,864,025,741,728,646,349,714,483,433,393,996,709,985,535,445,149,
090,742,129,178,880,424,847,788,228,169,243,406,832,914,570,741,719,486,198,
800,898,155,937,274,972,870,818,417,110,934,160,967,130,797,356,924,816,173,
413,849,839,484,133,474,913,258,534,031,393,201,335,505,888,394,166,235,070,
961,934,371,750,711,174,001,854,871,735,660,574,341,298,883,053,766,782,897,
638,748,888,392,686,926,680,070,750,951,079,371,453,302,053,721,841,511,934,
978,699,008,818,713,417,062,146,317,894,360,133,408,867,935,501,972,104,621,
477,568,414,310,578,057,066,386,062,347,221,574,148,977,428,600,823,835,026,
798,113,941,300,988,618,077,001,818,776,118,509,714,264,061,992,170,312,341,
483,262,669,974,252,039,238,114,084,093,009,120,383,607,686,541,779,442,171,
790,037,123,697,445,482,094,989,655,758,135,168,235,210,628,168,550,519,506,
247,662,425,829,772,826,872,000,629,258,895,997,250,130,480,909,285,333,510,
742,570,614,309,195,349,881,042,645,218,072,915,944,832,520,393,901,675,227,
061,806,592,687,948,000,002,392,349,862,004,171,283,041,362,808,455,079,527,
240,920,462,036,277,053,749,293,448,260,803,721,673,923,926,413,493,755,667,
461,541,018,624,165,761,044,488,448,722,230,417,284,319,126,980,763,078,413,
308,284,640,301,794,469,622,583,857,223,641,995,686,083,937,756,976,978,780,
444,255,594,491,247,506,260,907,114,517,098,037,334,214,491,630,966,997,175,
400,371,180,810,797,015,729,022,612,576,197,243,115,413,922,393,132,763,596,
343,528,099,041,451,381,527,829,434,662,854,893,852,351,188,039,793,032,238,
190,324,190,561,938,372,081,654,050,997,633,378,895,997,175,681,294,246,421,
993,486,072,754,494,468,194,016,829,268,825,469,164,155,966,302,140,163,768,
197,513,516,384,238,805,821,871,469,439,322,902,312,254,166,716,698,404,700,
588,264,891,135,240,702,331,454,933,597,406,054,695,174,194,196,894,157,251,
387,677,526,493,638,823,474,107,841,499,436,395,973,342,677,495,391,122,870,
779,673,016,008,131,263,270,179,694,847,158,197,026,001,308,693,849,453,550,
545,620,325,840,004,803,155,056,508,176,033,305,185,397,481,907,898,962,484,
070,926,837,999,825,246,522,194,831,273,150,871,074,502,043,698,454,869,083,
168,982,676,466,540,976,117,929,930,608,132,814,282,362,025,877,912,296,655,
332,070,432,355,918,183,436,081,651,994,892,946,091,740,110,595,795,074,346,
361,445,183,226,648,873,045,559,256,444,538,314,804,337,690,656,445,059,386,
418,775,701,863,573,686,991,950,094,907,129,088,189,990,610,400,194,767,591,
400,124,925,503,181,141,005,518,449,997,763,394,638,975,603,100,937,162,331,
085,270,075,993,684,734,290,560,081,535,082,622,613,639,989,026,205,381,728,
301,614,900,941,441,721,301,261,690,385,403,669,854,022,571,503,909,285,503,
655,357,009,054,034,021,616,103,744,461,513,965,274,715,255,206,665,916,466,
959,868,748,846,335,692,823,725,602,638,184,800,117,505,523,081,613,113,436,
832,728,890,364,539,505,582,589,120,638,471,698,932,455,592,325,783,305,361,
430,178,951,946,234,149,996,447,020,573,816,693,237,020,301,322,758,764,207,
847,077,910,384,551,327,939,124,310,283,406,605,412,253,502,131,799,797,097,
133,909,055,210,633,521,458,758,993,032,602,772,998,729,663,824,227,251,501,
515,280,606,438,033,863,290,965,399,280,395,563,704,727,223,698,340,460,541,
536,928,717,080,920,368,674,897,530,703,102,851,424,185,297,446,696,426,580,
263,891,429,932,224,102,319,147,683,686,901,650,839,267,019,341,573,315,899,
864,086,751,002,754,515,311,139,372,725,883,548,560,828,126,652,611,065,070,
033,757,360,877,499,601,039,486,922,279,556,337,834,012,933,941,137,237,867,
699,253,161,735,711,999,301,508,562,930,534,933,497,935,946,232,193,862,727,
790,699,045,499,323,685,108,617,964,526,194,915,889,069,247,861,955,205,606,
787,395,475,924,809,393,989,243,064,229,884,422,005,182,698,224,374,898,552,
084,834,268,955,585,099,770,791,839,823,024,058,053,320,863,617,476,068,413,
673,410,425,479,826,052,905,575,434,909,409,106,585,791,607,487,162,800,871,
767,612,906,026,131,425,955,427,023,800,879,703,641,577,315,455,116,360,026,
737,218,388,861,565,162,108,143,576,306,372,885,541,263,178,009,778,777,696,
630,064,634,685,833,404,682,904,534,870,263,339,676,402,108,364,937,396,158,
310,440,067,262,660,100,910,117,633,098,069,250,526,655,248,519,784,260,872,
408,335,761,133,492,455,240,407,839,558,709,038,002,547,374,666,950,495,535,
295,405,748,815,931,929,193,689,260,420,376,176,555,081,011,008,059,529,076,
518,161,075,338,347,218,809,785,466,722,104,835,335,065,159,480,915,521,624,
037,364,935,050,968,954,261,398,346,623,301,805,652,125,645,421,825,559,452,
533,830,208,022,074,030,761,629,449,733,417,878,798,910,426,450,205,723,132,
478,278,395,689,988,583,671,760,562,510,590,087,191,484,176,731,860,293,648,
316,017,363,926,829,814,836,527,351,279,157,728,755,949,100,838,364,305,471,
706,331,227,206,111,174,226,370,960,209,039,595,961,088,010,671,403,117,232,
003,350,683,968,323,495,868,750,560,508,571,538,795,836,537,508,130,227,133,
950,493,746,108,430,701,654,469,575,599,171,122,114,138,455,297,744,145,046,
063,166,945,101,606,772,218,650,430,484,048,699,262,521,910,427,871,293,437,
199,441,465,849,687,598,534,321,125,841,718,382,352,036,099,944,110,504,693,
838,786,901,548,951,006,499,911,911,315,506,413,333,344,807,304,925,319,936,
565,425,816,099,044,394,914,991,423,400,832,496,486,530,639,964,985,275,131,
078,942,462,915,333,558,491,079,769,607,425,083,117,979,678,290,060,739,984,
978,762,581,021,061,510,290,427,689,433,553,149,017,790,637,662,391,111,284,
368,155,731,318,089,178,782,313,713,293,512,923,450,311,781,967,455,642,592,
270,569,024,510,479,218,145,366,926,112,513,284,309,454,148,306,085,826,532,
417,920,815,095,822,667,456,889,742,567,180,024,191,254,071,955,244,231,933,
129,796,858,945,850,151,406,756,279,337,090,080,514,342,211,571,183,268,293,
714,360,727,707,106,149,364,805,927,158,757,932,887,295,091,559,768,664,465,
345,409,743,534,445,223,053,487,336,517,006,612,409,778,892,182,981,035,650,
286,589,433,268,319,209,475,059,131,094,956,169,602,999,455,512,272,738,898,
978,377,435,239,926,856,031,609,247,415,198,851,581,605,807,423,011,348,259,
818,075,813,865,567,060,841,155,414,724,468,878,950,618,741,053,300,376,332,
075,172,990,095,696,461,319,009,614,274,755,386,511,717,288,875,643,072,854,
904,945,629,749,024,369,197,661,719,285,292,012,575,971,139,731,647,954,340,
143,005,323,042,837,917,359,449,468,379,154,456,560,583,260,064,252,532,941,
211,083,820,268,690,865,992,958,159,413,808,877,134,472,106,857,116,167,583,
781,868,163,128,443,933,972,289,683,937,455,742,545,964,111,836,371,749,171,
949,489,931,368,930,015,656,837,566,056,586,220,605,628,616,487,328,947,469,
788,497,170,823,441,150,873,962,289,358,241,538,247,681,298,745,907,351,547,
411,343,284,611,065,622,473,048,677,235,843,493,341,922,640,341,578,464,253,
943,825,745,858,435,161,626,417,841,300,608,608,943,596,206,856,846,162,801,
311,331,916,353,390,294,002,873,871,555,134,131,383,698,562,594,506,382,091,
500,210,931,076,888,240,917,648,001,614,834,654,965,034,188,379,695,804,100,
319,102,823,342,209,231,131,966,313,084,916,609,642,362,215,926,172,835,784,
649,921,637,503,886,141,891,395,304,447,510,591,953,590,287,754,585,989,812,
852,211,937,513,496,091,402,742,152,772,783,733,917,212,810,479,441,921,918,
988,491,241,617,195,125,893,645,044,056,390,992,351,271,471,987,956,267,925,
768,676,234,537,075,604,800,046,229,269,691,072,462,025,996,810,997,671,806,
662,267,223,160,547,277,891,329,656,860,298,591,623,977,552,913,876,070,547,
189,005,898,122,564,466,052,997,663,397,092,155,258,954,490,692,907,578,200,
261,209,619,247,299,547,373,496,897,803,040,831,122,526,003,761,666,680,852,
467,665,252,871,735,944,749,548,538,658,288,777,782,793,599,762,669,381,929,
414,441,249,284,416,462,870,259,853,005,385,202,261,713,766,853,980,051,830,
437,950,636,453,225,564,129,797,157,520,845,193,795,578,516,286,556,097,753,
189,018,014,196,057,438,205,453,721,100,226,570,980,761,741,446,674,706,177,
787,981,044,425,100,546,478,098,122,662,611,778,347,629,710,852,535,028,156,
649,983,642,041,755,963,295,353,584,196,052,832,657,980,544,996,979,460,351,
939,751,052,229,423,688,903,612,236,251,205,670,879,046,579,238,467,974,742,
054,345,838,003,025,771,783,616,318,257,893,055,335,546,021,227,015,994,083,
179,696,924,204,933,758,425,706,436,245,269,282,890,224,816,974,298,149,265,
158,064,341,959,975,998,157,649,801,826,878,375,860,034,675,672,793,858,737,
754,915,046,549,221,021,769,906,695,310,258,275,387,865,679,459,877,735,904,
497,721,700,190,064,947,831,932,538,012,952,239,508,640,331,676,169,037,686,
890,851,338,577,927,485,064,066,297,898,264,680,459,693,832,919,707,673,989,
753,241,652,626,641,751,698,719,170,530,258,898,468,307,373,080,769,686,630,
592,817,453,496,047,692,197,072,683,718,448,694,684,333,373,080,300,157,538,
614,319,361,722,094,159,149,654,686,706,796,261,133,113,712,255,509,481,936,
997,897,185,611,834,862,244,024,397,783,060,558,816,975,174,355,202,277,994,
162,205,310,202,640,668,955,933,994,122,389,902,925,970,153,282,066,788,368,
799,330,686,736,244,913,750,832,643,485,552,031,918,079,073,528,763,504,312,
706,731,432,194,347,578,449,922,195,101,424,264,754,441,915,046,415,862,762,
351,164,472,959,838,523,200,231,924,353,223,695,008,109,642,566,875,247,499,
464,767,327,900,139,738,778,199,233,943,539,662,810,557,577,888,580,874,062,
727,931,653,096,845,896,196,813,766,405,630,601,803,185,024,503,783,950,527,
164,413,022,424,237,342,705,593,368,610,653,857,455,735,327,023,005,969,616,
511,543,450,821,242,855,333,147,926,942,737,878,536,878,304,668,956,837,404,
567,676,526,437,619,833,997,991,678,253,607,298,650,957,909,323,251,946,983,
512,794,415,027,775,767,989,816,801,944,773,777,686,262,626,162,128,770,065,
810,135,766,753,554,447,599,527,293,211,993,419,213,354,373,748,135,658,006,
568,359,382,501,981,060,378,681,582,136,469,087,978,535,463,131,637,926,236,
127,155,858,516,420,251,984,423,094,159,283,816,437,583,283,594,662,368,225,
716,189,646,674,873,778,036,871,784,024,114,637,636,946,860,497,219,363,410,
429,108,233,569,296,298,092,641,626,429,239,294,956,010,844,654,781,736,483,
548,459,442,982,593,157,969,334,613,024,611,801,630,934,185,732,099,526,102,
517,120,159,031,940,841,803,304,326,631,826,969,874,355,724,068,718,849,872,
940,569,356,950,039,316,384,995,068,442,927,532,440,043,394,840,261,552,669,
038,532,416,573,141,532,006,538,703,838,274,568,997,933,827,190,522,582,186,
834,535,679,030,251,510,123,369,555,744,029,029,141,371,456,010,841,506,084,
145,593,386,781,044,905,121,890,003,689,027,810,080,319,747,635,448,736,578,
799,318,920,452,381,977,044,703,386,243,448,113,901,962,620,585,034,114,423,
046,388,069,098,258,753,753,178,977,133,603,161,935,261,763,665,429,910,917,
632,210,493,214,986,309,783,509,694,497,644,442,772,516,055,731,150,130,184,
005,996,809,126,285,991,242,388,194,297,529,577,223,224,707,951,283,026,842,
327,616,574,205,352,772,256,234,478,323,776,488,580,847,638,433,765,335,335,
081,620,933,439,681,359,210,625,007,316,083,264,002,663,316,466,667,142,765,
512,080,758,131,013,484,447,334,080,510,125,747,704,918,285,508,145,056,519,
454,449,967,292,526,864,587,880,991,666,422,624,290,326,802,925,951,588,710,
209,259,625,377,980,190,182,530,184,134,800,053,810,347,925,939,133,062,737,
556,784,601,346,702,146,951,030,457,857,225,267,737,423,936,961,809,424,001,
328,042,547,423,516,947,105,310,287,453,211,540,195,495,190,112,443,349,236,
124,504,791,907,317,690,879,201,717,868,812,701,801,014,509,563,356,174,298,
588,426,947,335,790,280,625,121,128,629,935,326,914,011,867,029,421,573,937,
819,711,608,546,717,264,764,153,050,250,618,156,278,464,293,730,106,088,383,
111,131,185,512,622,039,379,940,086,366,427,093,370,493,950,447,442,657,475,
086,440,845,110,552,888,141,620,041,966,938,404,018,554,926,225,522,062,002,
460,011,154,853,148,289,757,807,247,504,367,807,209,701,531,937,671,637,205,
582,219,623,523,881,005,416,439,038,785,480,177,280,858,329,319,635,227,313,
018,096,846,644,133,327,855,474,699,625,492,316,630,379,570,390,635,687,854,
689,066,789,298,853,756,777,829,857,840,082,697,683,591,483,937,104,017,099,
018,499,100,532,942,494,006,325,859,175,998,048,917,222,598,983,344,097,432,
367,156,335,123,322,395,212,234,831,182,240,364,680,311,027,262,702,942,827,
842,240,881,452,343,958,127,511,105,217,044,835,725,949,469,287,737,340,179,
617,551,362,152,258,204,838,965,747,629,422,436,205,564,552,642,076,707,558,
114,868,811,009,720,177,710,968,097,570,755,937,331,656,721,852,176,930,048,
595,618,957,315,270,948,020,335,885,707,957,121,159,260,180,382,701,003,053,
873,699,971,933,052,865,882,679,543,101,248,831,790,614,088,020,400,638,179,
507,015,259,558,852,428,159,044,734,472,081,704,666,347,117,237,205,407,010,
733,403,700,244,989,060,056,788,348,986,944,645,132,939,358,528,795,507,115,
510,506,813,725,781,852,925,827,356,867,787,134,122,185,646,681,099,946,095,
110,214,373,990,349,028,640,901,099,531,774,554,972,413,849,119,463,537,912,
807,312,592,545,371,384,102,786,101,685,132,181,631,227,988,431,523,811,548,
867,848,571,037,679,256,802,936,414,558,688,133,365,021,993,534,567,799,781,
547,849,361,547,518,006,222,839,434,679,898,657,615,706,204,116,437,958,646,
608,610,898,511,928,454,819,124,139,217,420,254,777,003,239,542,902,905,991,
232,516,191,023,735,748,988,905,855,798,775,762,197,450,555,978,989,989,905,
729,028,879,017,171,881,736,057,418,941,079,533,151,456,377,447,474,993,051,
810,014,101,557,900,109,704,160,501,491,073,787,057,835,346,448,104,000,114,
985,182,363,633,738,675,382,746,826,431,998,591,184,817,429,043,960,135,263,
208,924,672,290,744,397,698,926,360,757,988,141,035,913,786,110,815,972,512,
723,715,001,730,819,412,197,311,525,106,713,979,183,050,579,235,781,237,815,
588,836,578,610,924,384,136,909,498,740,888,630,048,849,381,271,910,018,333,
707,633,592,402,578,425,846,186,737,705,882,383,987,095,315,392,268,124,768,
149,009,746,135,705,941,583,157,105,109,998,393,204,341,817,732,904,626,734,
344,243,676,071,963,485,514,091,268,646,627,366,747,064,297,713,482,099,575,
633,250,748,157,914,907,367,254,547,943,986,573,523,766,940,126,100,768,281,
792,292,706,841,376,287,871,100,515,639,931,579,626,464,371,883,770,969,341,
901,189,283,668,757,814,521,273,160,971,604,892,201,028,179,146,686,841,098,
597,076,248,047,635,332,607,084,163,035,190,358,797,328,088,422,709,621,053,
833,550,810,132,594,560,369,602,185,677,360,334,265,084,663,144,466,262,875,
885,307,108,732,514,960,725,689,650,766,718,457,545,992,167,586,194,417,307,
839,620,440,235,302,558,136,664,409,608,668,510,269,027,933,043,034,326,478,
063,497,670,374,792,914,389,551,206,958,084,351,587,528,974,907,256,062,858,
855,980,263,432,298,497,127,312,815,595,212,323,191,231,388,632,080,163,674,
177,540,263,827,628,894,725,168,842,597,962,727,186,698,419,813,512,197,401,
246,198,095,885,322,562,764,752,898,649,965,638,670,749,860,092,860,117,936,
210,854,949,842,731,461,377,623,515,906,779,033,414,546,876,886,432,408,959,
451,468,356,214,851,375,584,116,424,138,633,947,128,113,527,916,625,919,814,
304,910,372,271,170,813,775,136,079,521,961,394,912,253,354,789,496,220,070,
064,696,270,790,102,220,798,158,675,140,668,626,888,645,750,179,153,800,665,
988,681,315,951,428,172,358,808,230,738,231,349,210,151,467,975,201,688,538,
661,494,382,340,254,222,353,250,363,192,807,319,284,357,011,345,511,424,966,
633,757,794,967,061,707,164,775,558,419,727,016,812,416,985,717,577,508,468,
508,350,978,778,857,628,516,145,163,600,439,313,905,999,299,861,840,305,397,
630,213,632,049,108,350,624,463,829,231,677,803,450,558,166,652,829,515,953,
131,560,022,598,474,795,604,098,997,996,494,490,342,747,368,643,952,499,838,
757,557,367,919,128,565,973,256,813,070,606,054,992,542,452,297,119,719,644,
088,786,932,727,619,208,062,712,931,854,572,608,455,442,958,814,905,675,331,
656,189,574,346,743,194,980,647,717,296,452,351,188,222,189,958,268,707,538,
029,822,385,847,951,684,643,647,040,093,474,551,553,374,787,211,002,006,323,
534,257,109,782,872,930,923,388,849,151,341,374,735,864,252,332,489,580,477,
544,566,195,593,763,091,908,384,001,504,210,240,887,019,969,817,232,431,936,
036,378,163,137,586,369,390,191,000,818,889,555,041,151,026,491,713,797,497,
501,823,496,484,788,731,785,844,485,143,247,986,561,017,998,867,750,255,803,
277,873,261,594,251,480,612,267,864,336,240,138,205,633,099,036,674,062,312,
492,072,047,008,238,507,853,342,862,907,142,889,570,258,011,594,007,534,794,
654,850,637,932,535,491,756,151,325,684,428,807,342,450,350,750,100,896,853,
422,037,355,015,998,776,583,268,145,387,279,532,116,246,335,895,871,772,825,
095,794,547,138,937,156,310,547,060,610,960,134,102,184,292,385,959,641,219,
051,607,726,659,877,958,354,670,682,396,450,880,587,891,211,530,868,340,639,
188,177,112,980,371,128,254,426,876,685,318,594,923,782,745,407,965,928,383,
209,201,926,311,247,481,616,599,458,291,051,711,679,811,078,434,317,973,803,
832,162,701,177,836,986,408,401,034,241,499,539,850,819,119,045,795,025,442,
194,578,595,982,956,686,520,671,389,622,213,755,632,617,741,199,299,272,184,
159,449,161,672,320,021,460,057,281,694,822,350,224,833,610,736,519,935,633,
119,355,710,981,673,672,421,787,368,885,191,314,751,344,023,320,023,510,492,
315,913,311,598,652,630,197,672,290,504,955,563,496,874,028,673,678,466,431,
822,552,685,989,890,876,962,052,965,895,692,946,596,792,239,682,456,168,422,
086,959,179,203,966,201,009,092,842,837,731,655,152,280,143,399,241,587,126,
551,863,845,631,735,054,711,106,019,095,697,567,708,418,677,007,592,690,208,
710,141,079,544,134,582,311,415,572,279,668,397,755,972,562,861,980,210,687,
243,033,786,889,715,401,144,429,609,183,388,895,398,627,619,286,981,962,653,
198,786,689,683,530,978,569,568,628,306,052,130,482,431,788,416,656,927,315,
288,694,850,690,521,955,653,161,790,618,757,580,032,281,870,867,849,541,017,
252,924,932,433,312,636,928,751,616,681,615,191,854,313,490,345,494,422,248,
436,526,518,737,807,796,197,246,319,085,336,442,370,523,515,253,891,842,063,
827,772,714,444,217,553,719,295,094,606,154,768,173,496,473,516,726,733,872,
304,754,066,595,975,846,683,668,974,517,768,135,410,593,867,088,288,124,939,
109,968,436,271,084,247,006,846,499,715,336,100,230,746,752,307,731,655,248,
769,776,244,363,638,757,081,095,528,848,879,568,704,463,310,265,378,681,043,
272,334,720,804,839,693,215,181,157,589,492,200,128,948,256,500,507,200,251,
427,833,999,336,639,698,795,213,563,007,648,260,023,964,379,782,245,354,391,
452,888,523,984,422,777,441,548,781,036,504,226,649,199,021,679,488,203,609,
787,382,788,278,842,377,404,765,172,202,128,013,756,413,323,719,427,464,350,
445,402,600,802,471,349,874,130,421,723,344,821,950,040,331,989,303,347,349,
232,594,120,449,854,711,063,479,434,797,892,287,609,609,746,388,462,984,072,
325,793,970,465,560,181,842,896,270,698,458,567,515,988,978,165,825,431,193,
686,552,817,064,995,390,431,414,579,485,652,018,099,287,489,343,641,323,269,
618,499,488,946,897,549,910,721,368,037,890,443,436,282,417,957,301,146,140,
500,725,989,123,627,495,152,908,796,209,126,140,664,982,245,047,022,577,260,
823,040,638,344,028,174,127,651,329,696,320,960,543,332,268,141,092,715,902,
672,491,792,077,365,282,370,852,056,232,729,758,408,915,490,174,092,513,203,
184,281,800,268,049,849,948,107,926,207,593,017,241,917,840,070,223,896,869,
821,238,634,349,861,546,501,031,937,033,941,664,099,912,269,178,573,146,946,
817,887,840,244,154,730,276,672,341,880,500,381,669,798,312,743,721,125,586,
164,523,724,601,776,273,080,478,053,804,671,139,344,758,644,976,864,337,987,
082,048,875,377,466,615,937,701,146,267,471,013,457,370,543,205,855,382,532,
762,555,993,030,194,693,381,989,223,816,559,553,786,444,341,450,940,849,154,
572,071,379,193,305,176,868,278,574,642,493,008,215,912,673,891,963,940,881,
924,296,734,234,687,532,373,290,146,338,113,548,391,490,872,220,119,227,560,
573,118,324,031,456,342,129,505,073,218,835,325,739,138,996,040,434,203,966,
191,874,786,298,628,281,176,049,176,045,340,117,075,247,359,721,967,505,831,
703,751,909,108,791,114,684,770,576,389,910,648,134,596,927,732,448,377,492,
617,615,594,915,265,639,265,266,981,193,601,327,568,439,421,399,065,385,350,
164,530,065,114,404,499,475,030,824,544,006,955,824,143,263,002,078,207,997,
407,062,696,536,789,033,966,597,554,708,582,114,991,581,288,666,776,421,350,
108,972,027,138,660,918,758,066,562,183,938,533,808,052,431,175,569,451,552,
274,674,450,959,698,647,607,045,431,818,498,763,979,685,448,866,093,392,471,
538,884,611,247,323,468,589,369,050,335,263,996,435,394,456,919,326,105,065,
967,066,878,490,082,400,808,261,238,225,692,442,455,817,111,176,651,915,875,
112,272,848,773,679,243,590,704,732,612,804,590,322,728,431,005,087,054,387,
618,437,393,721,263,557,668,292,061,507,386,232,619,349,782,505,985,295,240,
926,005,503,242,431,382,864,493,887,860,393,618,484,534,408,563,729,254,350,
646,234,798,765,376,507,226,662,356,799,057,136,461,258,083,007,380,921,641,
087,927,549,385,250,156,871,975,004,654,977,315,058,253,516,692,807,976,293,
050,341,689,892,523,709,760,357,133,148,723,755,058,592,863,057,017,942,090,
235,521,504,274,967,302,297,478,134,535,320,074,704,313,800,870,438,483,115,
536,974,737,559,331,047,907,521,960,361,697,168,222,101,083,765,151,720,664,
072,924,826,612,326,386,259,122,023,686,471,693,216,236,720,111,462,178,470,
818,272,574,608,517,683,538,824,071,410,880,208,418,321,053,730,219,842,291,
730,724,038,868,496,510,090,430,924,371,365,654,362,276,849,334,371,953,223,
380,837,814,324,982,525,206,914,514,163,085,259,467,086,784,503,275,325,578,
983,830,037,656,109,091,887,052,370,069,268,871,204,346,221,836,648,229,226,
563,072,100,819,887,899,802,380,849,083,432,153,514,162,517,117,999,926,543,
699,846,686,985,634,533,967,624,505,612,613,138,598,792,325,001,817,070,326,
705,054,833,848,731,292,755,028,127,952,357,473,340,119,218,806,656,002,513,
313,382,979,312,301,124,237,522,651,756,899,610,554,801,004,506,035,391,634,
293,348,788,180,891,120,078,222,247,420,543,330,020,594,939,666,372,456,598,
642,899,808,037,025,597,997,207,693,229,197,296,529,785,494,601,732,744,828,
086,727,572,403,208,249,049,419,482,355,622,977,619,579,553,883,091,367,058,
271,238,266,642,158,586,368,548,069,824,960,447,225,063,583,098,503,954,041,
238,573,474,528,620,341,947,646,003,077,149,265,145,434,730,869,292,635,170,
194,774,893,395,807,216,545,827,913,195,964,173,144,897,904,940,145,497,900,
461,885,892,654,739,831,904,609,476,160,357,595,237,043,068,215,657,096,520,
495,095,195,489,305,302,531,455,528,215,310,319,958,617,102,529,535,890,472,
665,656,093,584,390,262,047,524,788,873,151,293,283,054,810,530,196,317,978,
205,846,835,341,620,387,716,962,709,875,666,989,986,315,441,246,599,960,329,
751,075,088,596,573,347,333,320,344,308,759,778,200,414,795,000,645,083,703,
468,462,794,923,335,507,670,319,464,396,211,758,555,933,919,199,348,835,692,
910,315,527,796,738,722,564,556,234,654,658,961,495,084,656,881,208,910,038,
564,770,341,931,627,292,526,065,049,308,261,791,230,864,083,373,516,087,335,
903,479,429,893,882,160,710,683,241,763,075,400,392,107,850,732,410,478,689,
728,061,006,271,571,427,694,944,383,219,893,675,750,605,332,873,103,741,797,
641,810,160,287,679,129,440,032,562,374,130,576,103,809,692,743,925,510,163,
875,307,303,172,917,223,935,862,899,962,485,079,475,522,052,957,966,344,870,
832,816,256,774,212,381,973,010,799,609,985,954,554,545,038,066,216,423,533,
561,375,912,689,436,146,686,343,102,331,371,442,621,064,198,591,442,046,040,
228,626,867,837,061,881,665,622,792,243,746,770,583,831,334,742,733,658,772,
586,449,318,113,795,601,786,217,567,665,592,844,759,084,935,097,557,500,627,
621,694,500,270,782,761,834,017,510,083,803,522,520,521,598,394,730,608,918,
887,844,554,047,554,508,300,731,580,320,115,968,996,619,028,003,766,454,449,
864,729,803,697,839,490,186,975,761,685,012,010,285,937,733,587,749,427,479,
846,531,903,831,591,303,633,577,708,312,833,814,698,428,832,514,782,016,774,
505,412,135,017,137,296,115,243,381,472,388,382,309,387,856,637,559,738,892,
014,655,440,389,244,283,579,221,901,400,243,502,999,884,277,288,964,069,858,
899,391,291,342,681,299,143,607,480,658,050,825,533,912,791,000,929,709,596,
191,005,400,964,794,986,589,469,330,818,759,427,645,109,340,199,645,069,909,
631,900,052,390,394,632,348,954,179,929,295,893,690,849,208,228,956,834,434,
450,572,488,085,769,299,813,082,466,724,099,763,371,986,391,716,539,028,477,
263,705,128,525,881,890,435,437,769,334,992,300,536,485,639,860,084,092,405,
326,473,803,099,624,945,772,659,942,367,178,007,651,502,851,194,021,874,474,
770,219,193,945,468,303,875,199,718,942,395,692,527,980,467,705,639,902,445,
232,908,830,571,606,997,905,405,233,162,705,971,862,345,175,185,126,817,286,
758,025,668,845,507,210,808,748,827,923,688,989,582,670,920,253,984,419,012,
182,012,527,648,777,678,128,897,321,326,980,403,579,159,691,152,445,203,239,
008,455,677,951,773,435,370,434,713,493,182,287,156,431,981,577,092,133,442,
942,006,861,802,311,127,047,307,348,919,811,800,429,179,724,933,549,480,142,
558,777,005,768,031,773,617,460,740,267,490,185,477,186,850,823,278,076,245,
209,877,765,948,848,149,693,914,564,617,251,967,286,870,807,585,081,111,670,
983,906,900,262,959,975,343,745,399,142,040,223,180,712,883,268,668,499,671,
037,539,158,239,876,721,981,016,153,587,205,744,715,151,121,962,695,547,025,
464,502,067,092,917,155,298,430,676,089,117,739,581,331,332,206,252,790,214,
850,136,493,016,907,678,958,062,281,391,708,038,196,248,145,976,726,468,114,
814,693,103,185,441,259,012,815,534,323,916,483,328,470,966,498,928,670,660,
678,473,736,298,092,316,555,448,707,533,072,472,416,031,588,809,159,458,291,
300,124,637,529,561,679,837,041,958,417,496,668,002,299,804,383,603,004,956,
494,014,112,240,847,966,030,783,706,523,681,158,906,364,039,484,460,710,566,
933,045,525,792,254,144,538,324,301,016,105,084,902,766,090,154,734,072,545,
551,404,025,502,796,532,675,778,675,596,543,851,553,850,809,831,557,656,990,
011,689,835,964,314,258,957,012,954,841,301,570,541,016,093,254,693,795,144,
763,530,510,604,525,633,671,100,505,063,315,931,801,576,741,869,286,910,103,
072,985,878,885,490,682,182,132,107,385,939,676,395,334,603,777,294,383,725,
272,947,901,894,096,424,068,050,636,313,699,685,786,540,035,071,968,983,280,
656,880,313,376,982,030,990,266,166,038,768,025,138,679,815,640,922,940,278,
585,246,215,859,364,054,231,760,941,592,315,395,492,831,873,631,417,417,131,
629,953,326,362,188,189,643,700,051,100,589,881,205,811,763,087,183,570,425,
831,070,136,125,196,717,539,270,848,739,801,937,515,375,617,656,196,359,327,
224,366,339,850,108,839,642,830,832,277,079,223,009,361,993,269,746,870,319,
743,670,524,045,936,721,627,029,569,915,329,931,847,799,585,949,068,295,624,
477,748,356,133,486,245,118,162,244,776,541,327,192,160,713,697,080,315,683,
384,091,166,366,965,877,970,970,025,194,839,035,186,664,159,447,743,452,622,
205,042,430,462,558,599,894,856,724,457,734,362,301,944,218,630,375,057,420,
947,104,330,489,555,490,473,013,089,416,492,126,563,389,099,133,604,617,971,
404,851,689,894,668,463,355,435,958,099,638,685,467,353,035,306,977,414,091,
030,353,327,282,295,847,035,508,577,742,501,420,289,855,688,028,543,154,614,
680,423,676,155,311,724,913,112,133,983,917,258,084,417,648,516,519,278,042,
822,314,678,379,710,461,590,890,020,123,727,202,240,322,858,990,810,527,519,
253,928,640,081,734,383,302,030,942,658,863,106,503,868,190,256,937,937,048,
813,741,991,913,332,582,893,072,513,883,600,490,495,091,496,575,859,431,529,
618,924,094,985,192,176,833,008,783,672,784,999,370,970,794,336,970,389,752,
409,799,323,664,520,295,766,041,159,982,814,171,824,019,621,173,604,045,025,
818,080,779,966,743,432,110,126,658,136,241,470,330,696,234,185,005,047,461,
134,333,605,622,471,516,700,559,988,040,716,216,748,228,630,465,121,967,466,
612,990,858,899,146,885,535,126,618,084,784,785,703,382,583,711,291,556,154,
763,734,454,400,125,303,455,408,360,533,455,807,631,645,618,585,136,338,740,
075,645,122,029,998,352,144,882,528,224,527,096,527,441,107,937,576,950,930,
030,764,365,093,949,331,239,463,558,850,082,570,403,711,696,157,497,354,710,
029,840,453,255,574,758,221,131,015,905,162,218,132,389,203,389,935,053,032,
850,878,812,604,545,115,389,023,392,737,477,643,781,020,115,519,044,081,409,
830,674,795,834,771,128,308,575,084,959,437,691,559,709,893,603,697,733,381,
174,226,220,114,162,599,390,249,075,105,532,182,380,488,062,381,599,663,593,
911,416,257,629,287,734,020,940,318,152,116,336,670,157,895,607,433,591,937,
953,400,894,673,573,579,787,574,968,334,120,269,232,706,487,077,496,037,344,
422,335,387,587,194,537,669,148,823,475,030,927,209,181,672,014,127,146,839,
537,742,442,895,232,913,629,213,151,083,599,773,037,555,964,001,224,526,593,
920,348,440,123,843,094,718,000,545,049,272,999,423,411,847,161,352,646,183,
269,405,655,827,831,105,551,279,771,882,759,550,675,966,104,615,028,311,233,
600,846,836,607,626,608,105,411,516,977,203,971,776,060,093,658,044,925,933,
381,836,726,199,976,448,920,998,341,589,964,107,125,510,110,345,672,952,752,
078,858,035,527,607,581,684,184,819,305,014,539,834,552,555,988,076,921,720,
117,375,287,250,272,645,532,040,546,543,958,625,006,858,729,150,159,080,244,
335,576,799,791,825,219,369,900,438,610,847,841,129,769,293,010,707,905,447,
303,466,306,468,564,494,857,827,262,079,864,146,155,863,743,415,574,713,750,
470,116,547,262,541,737,753,348,075,448,621,868,020,039,307,318,278,331,130,
706,297,801,898,336,234,743,990,664,632,436,847,432,500,935,968,475,295,799,
278,046,220,710,577,754,680,028,300,017,251,385,772,781,378,758,670,506,139,
931,514,076,019,260,814,991,238,154,507,694,680,011,140,590,695,895,215,953,
924,810,581,330,655,245,827,978,657,249,105,865,252,855,442,654,247,585,214,
197,330,612,900,181,758,491,412,639,409,819,235,605,877,392,693,794,044,179,
731,373,886,599,590,795,358,417,639,701,747,468,809,361,438,988,386,490,697,
628,706,387,075,990,381,284,430,634,097,834,713,918,394,862,768,189,519,278,
496,848,376,871,416,093,268,102,773,761,940,255,110,292,725,168,972,616,917,
109,840,368,470,158,896,123,843,166,032,024,860,681,561,091,571,869,908,097,
601,001,482,452,405,818,095,104,243,355,855,893,414,957,571,555,968,713,633,
845,024,282,083,451,136,381,016,833,229,930,132,992,825,702,867,574,734,927,
248,256,060,902,864,171,834,166,263,977,595,771,617,571,499,910,481,274,182,
558,091,887,404,012,560,397,595,311,272,003,089,432,113,765,708,210,586,737,
694,192,510,891,568,859,510,035,492,212,403,748,770,516,546,959,347,189,457,
365,888,121,232,278,343,069,853,247,477,287,775,672,301,900,167,709,488,683,
743,600,249,696,787,184,964,666,800,760,858,761,426,911,124,234,664,271,923,
982,372,919,819,114,396,432,280,492,626,650,150,593,253,365,824,815,734,868,
412,811,487,394,536,520,440,171,286,165,678,103,283,557,347,672,726,465,538,
779,563,001,539,453,307,616,457,946,493,245,514,376,969,122,337,445,288,132,
428,515,975,551,685,667,254,983,651,027,466,475,795,678,845,089,021,066,079,
954,633,138,273,197,474,648,184,214,958,235,492,675,080,988,101,578,785,913,
313,790,618,351,849,665,852,449,853,139,189,703,487,422,818,797,394,916,987,
486,519,899,826,519,130,470,470,745,680,418,526,025,143,288,809,188,968,167,
080,068,096,925,543,708,066,677,267,624,968,825,159,243,998,285,649,355,188,
069,966,649,424,217,623,452,451,858,871,852,873,638,809,588,639,219,606,054,
886,555,347,184,897,875,994,632,253,642,443,456,264,502,811,721,026,786,499,
077,062,305,573,048,872,287,363,676,214,849,625,331,182,954,266,265,737,856,
319,422,304,026,708,458,941,519,713,543,996,855,357,900,868,494,221,828,474,
888,672,875,128,338,958,769,048,530,275,507,198,801,610,382,954,095,194,211,
998,554,884,632,481,981,786,703,208,850,125,849,886,131,835,865,000,048,218,
591,501,181,769,825,189,665,114,106,607,895,187,243,285,567,978,210,855,025,
765,917,898,587,825,750,872,754,182,283,234,493,757,438,509,958,208,103,018,
672,941,062,503,839,611,551,380,269,189,932,258,478,694,775,542,399,511,681,
940,325,005,045,744,650,470,471,212,531,359,758,440,003,574,280,590,522,846,
639,457,789,819,694,004,134,563,581,836,822,698,888,177,251,161,642,645,317,
270,629,341,569,293,899,538,764,589,529,333,928,738,049,355,558,544,673,683,
636,955,360,286,156,975,512,570,031,709,237,499,770,528,173,081,316,706,798,
173,039,617,028,003,806,416,124,377,605,869,673,148,885,861,496,008,771,074,
265,048,544,941,803,608,972,882,297,329,247,045,980,375,928,036,047,419,310,
602,142,561,585,393,010,476,920,001,834,478,494,496,168,081,780,954,694,397,
561,002,654,307,857,853,289,754,743,025,644,507,830,866,874,549,713,158,252,
445,371,005,045,761,961,985,985,997,867,408,927,733,594,259,850,187,790,088,
652,403,879,706,330,274,022,567,494,389,085,082,136,671,294,988,845,383,971,
047,269,464,688,296,653,689,922,855,162,876,429,410,882,305,943,289,529,163,
672,906,042,824,360,877,146,006,263,950,793,717,089,890,228,740,992,886,983,
896,514,243,584,336,664,955,842,482,668,597,598,493,763,953,961,770,823,480,
552,874,344,488,498,476,748,724,388,107,598,197,378,945,347,008,744,940,438,
452,460,230,302,108,519,515,811,890,174,015,019,261,711,055,483,423,485,421,
190,806,197,720,366,192,338,520,343,844,652,735,379,780,206,058,660,821,168,
720,736,880,012,293,563,157,998,301,267,087,158,851,732,287,113,179,996,525,
136,710,982,253,495,862,168,537,899,208,534,614,113,103,280,756,743,832,947,
853,176,894,383,852,475,579,837,648,790,540,725,025,079,118,976,791,174,588,
075,986,001,948,114,489,558,163,303,957,264,173,989,862,755,687,832,963,474,
140,542,512,021,584,168,187,560,771,438,102,307,606,439,830,799,058,659,625,
846,149,922,599,662,213,412,893,245,739,338,549,552,750,372,867,042,677,912,
155,642,517,064,591,732,715,507,228,240,913,932,925,657,466,080,067,720,513,
015,907,728,001,720,570,962,517,932,040,491,575,773,300,801,421,432,222,704,
087,682,919,392,449,182,844,314,887,873,456,330,177,449,941,595,464,092,114,
539,117,002,709,748,222,941,044,634,873,834,400,516,159,998,340,729,596,822,
975,174,494,684,763,795,117,003,028,706,930,468,019,720,934,539,524,772,910,
572,494,872,995,065,566,237,958,596,281,821,325,948,285,484,799,698,964,006,
561,786,408,675,943,444,896,806,323,576,572,395,330,340,991,677,214,035,915,
464,059,006,913,182,136,542,433,409,262,897,560,643,092,295,609,935,952,579,
831,216,679,471,447,576,780,592,269,805,554,117,423,785,730,869,699,237,151,
553,631,325,478,640,506,939,403,788,216,159,042,907,473,393,711,012,053,207,
461,020,881,518,750,234,928,492,758,565,696,273,356,741,207,732,802,518,813,
215,162,260,379,236,074,655,458,992,549,548,671,339,714,159,700,962,110,615,
104,924,981,551,658,183,535,149,031,954,135,899,920,416,101,484,305,681,334,
057,063,933,838,997,044,942,087,090,140,364,116,612,395,031,335,316,556,495,
263,344,012,907,354,980,429,652,558,807,328,006,765,761,577,128,125,876,173,
291,850,799,025,697,931,908,470,838,329,781,816,992,489,870,048,445,384,849,
752,813,211,006,707,048,893,290,763,579,830,209,182,350,949,133,358,202,203,
254,816,533,041,979,996,049,431,916,493,431,158,813,858,087,194,021,864,638,
498,839,264,859,149,545,999,407,748,845,871,558,866,038,621,722,857,642,198,
107,740,692,408,089,249,469,999,063,898,201,822,017,097,220,692,746,761,293,
288,827,236,322,778,018,601,449,179,520,026,951,823,056,778,106,064,086,934,
755,759,746,338,174,580,077,562,526,662,788,337,916,134,652,586,723,308,620,
117,363,204,042,790,113,492,553,999,141,391,558,011,054,727,281,320,203,788,
067,305,898,070,897,395,793,317,790,115,825,682,563,280,783,746,971,239,766,
264,566,566,742,094,646,375,107,173,887,254,478,884,540,871,724,489,990,305,
560,735,713,223,084,302,636,987,997,701,148,458,817,331,935,429,968,984,707,
515,570,420,336,264,750,929,234,373,262,060,578,383,833,977,142,599,885,855,
740,467,680,682,889,945,978,975,709,017,853,535,984,125,688,830,764,096,901,
279,675,965,398,757,674,611,112,134,923,671,932,595,958,328,228,509,299,519,
287,802,881,226,191,534,411,673,141,953,618,728,212,326,077,577,156,006,068,
763,374,351,483,315,693,921,105,851,170,418,208,371,922,453,816,992,640,935,
947,089,450,377,211,635,382,061,083,109,567,257,853,019,994,537,938,844,329,
419,123,374,246,047,099,441,569,856,596,160,135,429,619,532,271,009,119,247,
676,406,561,381,822,328,710,299,928,330,787,619,163,579,203,318,701,729,920,
966,549,805,972,704,065,996,557,930,713,074,879,041,186,688,560,745,715,702,
241,232,855,762,699,950,785,395,417,138,124,449,864,596,996,754,304,069,800,
520,266,809,913,198,201,824,712,276,840,918,516,126,492,092,898,259,948,352,
835,706,491,693,183,085,903,103,852,944,226,572,391,508,294,837,411,183,395,
967,115,752,573,560,227,002,813,112,444,876,600,259,557,848,087,911,609,736,
728,458,350,854,715,951,890,414,079,358,643,692,748,272,695,929,206,988,676,
312,713,848,481,930,693,489,106,451,415,838,904,778,640,164,916,200,459,145,
566,587,149,632,620,626,262,062,415,658,378,399,085,965,960,066,226,127,559,
472,187,035,367,678,957,599,707,909,676,835,746,515,616,866,647,862,864,881,
510,454,851,570,537,984,378,726,332,886,176,109,532,955,303,053,454,777,666,
159,027,914,905,940,120,271,217,922,734,071,849,523,036,590,893,194,553,116,
980,712,157,835,037,842,444,905,717,665,542,575,171,379,119,524,288,626,504,
997,007,028,698,749,042,146,539,149,447,643,942,260,120,328,368,801,631,019,
000,967,123,519,652,987,158,561,357,584,962,450,222,961,530,129,007,580,630,
549,052,583,344,495,380,059,775,298,890,533,171,303,006,851,064,756,176,376,
514,238,023,484,144,228,140,161,361,162,353,095,399,196,280,657,494,612,930,
044,669,305,921,754,974,030,720,860,929,450,006,437,840,813,006,075,569,655,
343,500,532,197,936,771,569,890,486,521,361,980,379,154,012,706,047,872,386,
519,750,239,204,759,194,552,744,738,272,463,386,097,824,604,116,880,246,129,
752,876,203,530,514,122,628,468,973,034,066,960,124,741,273,838,795,825,667,
721,972,673,787,166,018,538,787,017,433,497,495,832,523,223,279,347,087,057,
452,515,460,142,228,785,163,597,007,473,299,503,723,301,444,357,890,660,001,
245,980,312,478,478,120,885,698,412,760,533,864,045,714,375,952,215,391,744,
564,493,876,272,955,540,666,850,992,874,124,001,791,115,666,445,641,220,408,
073,018,791,646,721,540,216,469,594,102,304,069,451,746,556,011,741,658,917,
985,719,326,176,857,933,572,996,569,752,636,466,905,491,255,787,753,667,301,
175,172,756,694,150,697,470,545,653,305,714,556,511,689,740,291,667,572,589,
547,126,589,983,073,933,090,389,027,654,632,195,937,745,889,437,396,055,633,
459,039,541,485,170,854,494,157,555,413,775,540,345,269,016,732,762,079,853,
591,335,943,491,373,721,021,702,936,261,545,351,903,164,013,013,958,900,106,
509,324,224,778,902,109,817,010,892,497,081,920,269,867,752,140,787,849,227,
367,497,450,592,781,278,534,203,279,440,366,269,717,854,708,206,296,011,778,
995,235,871,944,410,856,010,955,742,332,945,826,340,101,496,142,397,383,942,
389,357,085,236,984,934,979,239,809,400,085,146,423,003,697,750,538,808,244,
726,440,927,038,586,702,710,253,965,621,727,368,467,202,958,539,108,920,868,
877,336,418,656,236,992,201,937,256,804,764,184,687,181,582,514,318,946,606,
997,101,379,922,055,972,667,494,635,851,408,548,641,176,320,179,490,388,052,
695,552,099,815,740,113,384,819,151,106,979,263,841,214,267,370,482,623,527,
529,829,283,724,312,272,733,953,483,500,185,537,083,938,552,821,401,274,322,
731,340,472,744,772,193,231,365,945,833,754,117,477,532,597,674,220,664,713,
987,250,988,047,598,434,836,784,065,050,968,394,299,855,987,287,598,994,556,
278,297,742,307,416,187,891,727,722,093,717,485,927,502,518,513,043,406,935,
315,702,715,788,548,823,282,506,915,962,053,026,064,305,196,659,063,122,410,
309,290,850,570,525,621,076,065,749,268,690,886,018,033,641,731,518,876,736,
020,788,630,705,697,539,935,086,776,745,086,978,155,786,864,945,319,841,690,
487,957,345,602,074,610,648,388,773,867,043,285,693,407,225,026,247,828,374,
889,775,813,519,199,357,142,460,162,349,918,424,757,860,825,397,518,733,959,
223,358,547,352,179,478,116,724,448,626,506,836,115,269,836,305,051,533,099,
912,048,510,028,174,958,079,774,495,120,226,213,400,585,625,938,372,217,063,
303,195,911,837,541,974,117,854,747,745,836,290,826,772,337,285,895,408,737,
978,972,570,340,487,962,074,125,261,839,174,078,271,889,261,741,897,257,741,
392,539,663,846,985,582,119,869,819,066,512,197,115,653,506,330,580,341,605,
603,911,185,437,487,807,061,053,192,490,337,374,665,760,800,897,005,343,622,
502,512,750,650,664,816,833,749,972,867,344,181,614,197,140,535,212,006,949,
143,695,750,152,805,858,338,706,304,592,941,329,646,469,177,723,315,983,841,
626,341,196,465,251,046,603,807,077,098,277,144,294,800,174,954,177,545,376,
740,857,134,489,842,861,433,078,414,354,541,611,799,115,772,450,553,968,186,
435,821,389,066,808,733,368,741,884,161,955,682,618,787,337,567,251,943,048,
946,804,693,172,598,445,646,766,249,492,324,044,756,453,976,041,470,660,193,
752,605,360,924,287,441,476,491,162,570,426,481,710,988,870,879,923,253,727,
618,715,587,237,585,517,579,971,482,221,299,704,605,201,409,265,006,716,085,
350,661,448,289,514,152,194,078,492,983,473,645,187,797,771,659,757,117,359,
381,913,491,963,241,456,694,402,459,115,727,393,016,516,058,735,050,780,986,
957,748,265,767,772,138,748,881,702,694,137,133,892,248,752,610,370,977,078,
231,898,926,387,066,766,647,461,888,087,427,287,058,613,192,435,535,354,989,
919,703,494,654,787,394,945,499,811,992,448,973,192,891,908,727,762,483,683,
343,868,094,892,648,862,613,367,046,442,438,044,162,165,147,402,550,022,133,
821,383,908,466,732,804,817,542,156,358,556,449,742,481,530,351,445,874,799,
484,705,253,499,355,968,728,566,555,460,334,772,487,840,801,313,661,256,169,
446,985,012,964,401,424,223,249,605,444,582,125,518,906,587,880,491,330,466,
702,755,399,189,969,712,771,482,254,381,164,504,079,929,013,684,786,554,726,
255,966,375,404,422,630,861,871,648,308,744,393,818,084,557,762,837,627,120,
360,443,787,603,632,234,823,137,277,475,657,418,571,711,653,811,716,075,475,
124,355,126,682,592,485,013,831,128,295,684,601,004,147,801,175,014,933,836,
294,161,326,143,071,002,998,111,313,439,027,485,544,928,826,900,149,012,893,
424,924,501,520,744,544,406,844,330,435,375,833,801,878,622,950,957,180,862,
046,251,952,400,138,087,616,554,143,391,854,112,432,022,376,417,831,978,577,
400,272,879,802,239,990,315,584,834,309,366,764,665,188,056,958,846,850,777,
188,239,378,510,959,644,960,059,944,941,012,494,366,437,315,724,013,810,912,
728,652,661,240,407,011,773,624,714,941,298,903,468,393,592,352,389,077,700,
825,852,431,885,135,532,508,675,291,564,813,489,965,096,220,856,903,238,109,
344,650,179,105,435,647,099,505,162,113,650,605,762,201,076,840,699,060,124,
192,390,004,082,576,227,725,645,925,014,367,367,105,179,004,167,442,449,405,
258,727,955,919,828,289,279,271,717,205,235,636,479,729,665,733,644,077,546,
807,785,177,446,058,100,922,078,017,851,918,471,126,933,687,305,946,134,656,
351,276,758,647,839,339,879,129,780,963,514,788,895,081,358,705,183,173,580,
778,546,458,281,094,488,354,589,479,048,095,712,865,107,250,526,324,933,986,
753,659,601,361,397,815,530,356,097,856,568,209,733,001,341,291,122,241,789,
380,128,086,889,556,998,470,062,363,943,839,584,687,933,965,297,697,513,048,
398,857,314,026,823,904,141,281,331,229,470,039,735,508,424,680,241,259,951,
660,448,964,335,319,221,755,960,199,481,252,724,516,515,978,253,994,128,734,
036,212,193,885,317,252,967,880,500,270,916,742,041,083,235,248,658,366,441,
082,913,188,332,051,028,267,404,693,016,689,896,739,846,050,442,961,436,739,
178,036,103,373,925,921,980,384,282,958,899,701,174,367,714,437,480,650,093,
087,521,567,342,899,602,529,049,103,398,081,407,457,320,640,158,400,261,416,
518,964,885,655,031,809,414,354,631,289,944,896,200,486,274,729,790,474,285,
797,974,384,299,815,003,240,621,041,649,270,802,252,269,295,892,793,867,865,
174,976,070,331,451,386,733,504,335,133,818,705,817,557,699,243,796,768,729,
476,572,092,283,684,221,726,144,549,380,555,591,007,789,101,001,822,398,127,
698,138,735,447,393,683,315,552,556,296,272,290,373,516,804,789,742,165,644,
030,144,703,289,106,715,380,719,106,265,378,413,217,229,901,809,269,227,763,
662,064,841,694,918,881,414,339,321,025,262,584,937,234,544,974,836,570,256,
463,155,836,546,381,508,513,045,517,516,901,204,496,649,583,302,979,140,561,
466,669,549,457,841,826,456,365,829,700,037,964,985,128,379,026,531,171,615,
172,603,519,063,639,331,348,374,165,182,859,328,015,066,058,536,124,286,586,
203,438,997,392,194,697,983,153,226,197,938,320,322,045,423,671,911,418,721,
413,520,964,636,280,091,926,974,618,373,542,843,511,063,516,544,523,538,088,
401,482,347,060,728,826,946,992,885,010,151,499,304,260,534,409,215,432,835,
528,410,536,113,603,894,674,909,024,908,011,542,653,649,597,484,105,494,000,
987,803,582,637,235,724,903,339,141,747,721,968,468,451,260,982,576,968,963,
055,334,487,472,893,642,721,585,675,991,119,313,950,622,681,546,899,105,932,
986,776,300,769,633,490,705,475,285,990,846,441,957,629,956,487,895,360,835,
658,931,486,448,522,183,954,978,517,220,275,653,360,646,969,960,682,791,555,
508,023,923,420,705,563,860,449,643,827,000,216,405,562,742,106,248,857,332,
121,262,563,162,048,556,599,848,985,946,633,734,263,414,231,440,071,196,956,
806,486,263,553,570,407,832,460,670,165,190,759,931,014,326,932,024,136,524,
302,730,535,757,589,660,900,566,354,438,150,513,961,837,335,662,001,940,963,
853,867,158,627,628,186,331,605,394,826,863,485,329,214,525,160,752,322,078,
500,934,199,055,963,762,266,528,064,365,729,717,554,692,833,554,899,269,001,
596,314,931,118,199,064,470,330,830,081,602,054,166,758,484,504,399,834,588,
107,066,360,810,487,306,647,270,582,527,636,318,335,554,580,497,136,322,516,
023,649,130,877,360,361,964,493,784,708,966,220,135,036,635,765,397,646,549,
924,894,706,901,120,750,791,651,592,293,569,567,714,361,252,551,928,496,115,
289,765,182,400,575,181,515,565,985,081,944,155,427,028,228,440,714,872,850,
192,197,450,125,427,156,845,274,448,596,594,145,035,096,414,165,505,752,615,
442,487,991,540,543,830,044,160,535,992,540,980,156,848,564,340,141,829,657,
117,524,088,691,159,681,892,009,444,755,122,853,800,987,928,001,071,726,312,
772,463,086,284,498,930,685,798,359,537,048,892,908,952,144,230,309,231,797,
474,338,211,467,968,140,690,363,152,834,556,615,874,878,600,418,223,618,953,
534,993,669,216,248,697,765,184,218,787,839,922,151,730,523,791,626,548,145,
917,622,361,807,071,694,287,268,254,825,333,120,461,331,935,808,998,696,275,
329,660,546,014,503,299,693,647,891,702,024,186,055,547,856,646,053,064,626,
700,982,433,393,650,710,899,118,283,660,915,168,818,425,317,078,974,821,050,
525,774,691,222,203,849,106,009,154,077,671,813,294,427,163,317,958,791,735,
772,527,840,687,141,541,531,599,588,271,352,568,704,589,992,179,342,733,581,
828,176,086,300,960,688,624,782,106,382,027,073,009,246,694,641,384,709,262,
178,099,239,285,843,246,708,878,916,820,296,468,681,042,992,466,978,176,963,
695,247,719,175,044,084,796,277,457,272,973,578,219,773,524,476,753,693,761,
862,191,049,017,153,813,619,276,787,947,840,704,675,035,585,116,672,718,280,
480,101,976,183,654,031,535,757,879,261,199,897,750,747,600,010,802,615,782,
795,349,139,985,609,458,993,053,019,824,909,269,467,302,081,715,959,451,283,
623,167,222,823,139,437,389,082,277,379,752,252,223,710,786,227,164,715,625,
980,911,326,577,127,152,347,462,517,066,075,802,381,625,437,728,026,976,946,
498,449,134,145,185,300,057,789,251,187,634,657,534,636,908,355,093,427,506,
568,030,251,784,113,869,744,620,269,875,349,873,775,040,441,655,782,623,401,
887,969,503,787,758,847,394,155,289,921,525,730,541,376,509,087,481,201,563,
208,569,101,333,484,441,740,816,099,557,265,848,189,258,953,755,829,804,030,
792,255,641,302,920,790,603,468,509,890,215,030,390,564,366,094,330,689,407,
702,514,096,089,851,954,799,807,512,333,578,097,286,628,128,029,322,729,072,
688,338,458,016,780,549,799,471,776,142,510,946,726,168,394,953,682,175,467,
410,119,624,365,996,079,012,421,338,085,505,239,591,164,566,092,297,227,586,
355,801,892,413,897,271,709,402,359,897,763,871,301,154,768,507,765,596,725,
201,669,557,426,979,959,689,710,269,372,199,122,538,968,779,159,001,318,663,
562,299,922,663,504,434,643,347,144,440,384,574,147,977,689,147,032,955,452,
340,357,718,646,310,918,967,219,924,266,097,336,648,603,845,660,874,383,554,
354,672,197,507,415,458,940,918,305,392,158,468,020,680,843,030,193,627,904,
459,772,948,344,355,745,785,797,323,469,043,015,033,823,328,739,268,214,118,
534,782,562,110,983,424,963,851,625,145,663,140,600,720,473,318,199,533,843,
547,638,447,433,599,900,657,939,547,520,663,747,044,512,422,999,931,594,226,
731,935,008,712,846,852,121,448,182,618,419,093,028,316,076,326,791,126,467,
059,285,406,358,298,050,341,812,624,977,826,744,565,113,789,562,433,748,007,
787,923,905,109,088,331,332,119,002,481,047,701,295,790,677,023,182,239,151,
222,836,484,526,473,285,425,132,529,240,436,121,957,777,408,931,680,056,592,
501,493,605,678,158,077,671,659,924,772,210,332,689,363,669,436,825,278,969,
291,289,587,173,346,513,281,984,023,281,888,760,158,367,377,452,027,095,195,
214,615,229,181,379,265,768,402,405,470,239,017,243,862,549,149,526,870,651,
941,173,676,096,167,575,478,136,769,323,568,901,490,864,060,555,248,791,314,
998,001,803,779,079,799,726,058,836,837,501,845,586,776,026,675,167,046,162,
745,782,693,089,804,352,180,532,255,520,707,928,652,135,029,573,663,750,504,
367,057,425,058,637,195,980,012,878,714,799,788,875,916,664,116,275,840,124,
806,077,227,561,139,777,068,113,381,679,881,692,793,472,082,235,626,672,295,
567,093,551,655,660,627,503,900,933,029,978,042,636,491,690,253,554,829,927,
701,565,485,935,663,417,099,328,151,774,775,091,563,151,159,300,969,732,205,
861,282,489,471,024,052,699,021,682,023,595,540,728,262,397,930,749,353,113,
300,141,606,938,711,474,451,701,765,885,901,917,447,073,148,863,959,709,810,
182,037,698,737,742,900,370,377,593,267,065,615,647,115,359,477,917,039,443,
025,159,416,079,385,194,597,506,922,173,766,252,966,821,081,421,454,797,080,
669,965,565,189,090,086,581,187,039,698,019,881,548,744,460,486,783,789,458,
540,920,512,912,972,708,582,201,132,628,836,958,032,246,065,997,083,301,164,
162,619,498,197,292,054,809,135,609,922,669,612,766,330,061,727,631,780,118,
320,268,345,098,073,079,993,400,438,185,467,937,854,490,029,489,913,212,868,
615,943,192,063,654,369,392,284,463,694,581,969,331,746,199,893,238,062,817,
948,071,423,654,281,728,783,278,552,863,761,757,856,590,412,847,592,951,415,
268,035,201,611,477,371,205,065,657,869,924,036,638,568,356,877,359,023,250,
485,002,104,627,390,231,575,490,492,612,934,440,646,834,635,278,290,479,680,
220,258,988,551,723,159,717,643,822,180,424,403,292,724,704,089,584,488,055,
736,160,088,530,064,351,793,159,350,172,805,409,716,857,966,025,822,191,074,
514,391,055,182,358,020,545,988,686,793,906,454,992,632,948,828,696,816,910,
496,076,944,145,191,054,214,510,765,440,750,644,342,296,562,789,355,567,895,
495,969,684,302,952,161,041,665,957,834,043,192,148,363,383,420,249,120,092,
944,349,920,308,890,725,713,283,678,092,340,200,490,652,130,063,128,557,470,
613,629,837,810,722,329,567,577,254,182,760,550,249,345,998,877,864,978,859,
631,390,631,597,507,665,428,609,420,034,639,400,600,997,023,786,058,547,020,
082,757,418,949,759,415,644,615,754,575,416,606,458,393,934,074,545,391,134,
609,602,861,826,265,003,975,812,456,154,941,305,634,852,785,586,408,107,906,
460,519,293,448,473,939,194,445,106,460,863,742,985,767,112,533,888,272,691,
966,235,332,316,156,238,630,426,664,614,792,692,919,612,058,541,160,663,761,
122,872,754,769,961,570,600,022,171,851,138,269,868,247,635,821,856,885,391,
309,678,512,904,762,200,300,208,316,861,728,176,327,426,006,623,983,843,075,
309,798,273,465,431,533,607,264,702,224,204,342,002,346,829,062,981,615,833,
754,035,434,927,245,969,865,312,978,843,810,567,626,498,270,402,052,961,477,
641,508,370,264,150,285,052,834,955,817,941,058,315,773,717,809,936,424,822,
415,225,613,910,274,723,824,303,357,575,973,033,266,614,501,528,601,315,238,
470,867,819,353,823,259,807,531,316,509,346,693,606,846,944,372,113,264,612,
658,336,673,998,169,791,553,578,863,211,143,248,894,863,666,583,869,898,605,
676,665,809,194,702,917,032,290,265,509,145,779,120,557,751,605,768,361,198,
068,358,343,234,329,909,706,227,149,989,034,104,727,079,474,479,954,807,327,
683,024,434,849,946,682,080,735,717,100,019,285,902,808,723,075,916,386,591,
969,890,690,470,601,033,990,379,798,924,574,864,050,242,227,348,122,592,267,
641,358,060,999,436,247,971,657,572,176,353,276,918,116,128,058,566,934,006,
921,067,853,625,800,649,574,573,342,003,246,695,381,457,911,316,838,309,161,
935,880,869,946,350,875,956,215,839,998,173,101,161,707,113,954,556,088,529,
339,149,915,587,624,549,432,688,704,141,888,437,600,371,881,744,058,115,918,
825,262,468,465,599,239,152,451,283,020,443,747,918,727,272,517,635,109,620,
161,304,074,340,944,741,140,220,079,527,709,628,008,225,219,236,528,360,021,
361,141,571,200,289,444,141,258,712,299,636,299,420,393,825,972,042,288,697,
926,583,500,446,851,017,942,469,497,695,405,651,897,025,846,615,847,888,394,
816,680,917,599,941,480,019,075,098,839,230,177,369,407,225,930,067,370,370,
679,506,531,152,660,434,380,753,012,729,453,860,390,135,522,944,151,049,647,
144,299,659,250,573,672,555,578,671,770,914,610,710,994,438,116,670,085,521,
687,700,852,883,947,823,410,141,829,735,052,616,310,811,779,673,952,397,058,
356,932,940,503,896,170,166,156,974,390,272,225,423,822,663,040,762,596,699,
315,874,615,235,061,252,755,747,848,386,764,790,383,122,089,730,379,555,265,
755,053,129,216,076,456,685,603,122,912,904,476,270,386,906,785,661,955,600,
086,492,237,733,252,612,770,499,480,972,103,917,543,692,429,100,975,453,371,
551,831,921,843,829,050,214,948,578,373,085,496,254,233,795,847,804,737,202,
077,667,473,960,698,250,462,069,273,326,567,809,029,021,809,598,032,666,307,
937,856,246,423,150,084,331,132,835,290,157,491,311,619,361,796,330,956,782,
464,630,813,413,817,153,289,870,079,811,479,130,876,439,432,413,988,625,437,
872,295,199,136,269,828,722,122,157,038,224,068,784,777,598,780,253,487,846,
843,346,822,035,687,019,518,343,918,389,101,041,793,308,290,176,797,477,400,
211,631,667,298,438,519,195,006,034,401,957,337,648,172,206,317,675,513,125,
972,616,054,714,157,367,593,252,166,225,767,626,593,047,265,344,144,926,349,
666,935,260,018,820,502,524,289,697,523,142,076,347,489,401,277,564,671,517,
819,565,498,656,141,711,699,486,329,185,244,028,815,063,916,313,625,135,605,
679,318,827,181,247,853,051,383,463,366,319,069,168,684,043,934,141,076,453,
906,220,463,943,510,640,022,641,102,586,534,835,782,868,738,132,017,118,379,
815,357,353,175,731,864,012,525,972,970,692,123,675,667,399,678,168,617,489,
397,165,636,365,002,821,161,820,535,513,412,083,876,419,851,250,732,846,287,
420,795,226,137,821,812,467,739,684,955,977,712,093,205,013,920,055,863,343,
607,356,171,399,754,006,771,288,413,807,689,555,194,097,891,559,529,828,999,
034,281,081,289,121,727,074,079,141,367,487,849,418,962,062,541,293,263,642,
733,055,584,082,720,945,285,721,730,291,451,192,464,828,695,415,649,483,527,
635,846,420,615,331,590,297,947,622,923,842,046,327,335,344,719,192,050,629,
349,769,460,602,497,934,494,369,424,106,716,458,907,424,628,284,542,683,367,
703,148,388,375,922,521,470,898,619,723,501,261,838,492,059,809,514,084,552,
044,550,882,979,110,511,240,461,451,673,724,481,939,395,304,154,021,048,932,
672,639,610,103,994,791,597,937,068,324,732,681,592,647,360,666,534,370,322,
570,116,434,577,385,221,750,213,449,751,557,573,927,461,242,595,798,946,163,
818,486,029,451,283,292,305,857,041,969,177,952,874,987,720,367,751,135,595,
477,777,052,897,252,197,210,314,149,046,826,120,158,700,913,166,409,679,475,
508,406,206,985,271,551,093,173,778,008,280,139,907,286,040,305,504,555,194,
781,879,996,569,428,719,051,000,205,538,479,806,541,379,073,394,021,447,687,
653,921,757,549,185,589,368,887,065,706,411,371,970,695,816,801,484,189,817,
977,028,470,814,774,790,823,629,410,036,003,981,864,029,748,704,509,870,788,
838,901,018,666,733,644,478,987,697,989,599,848,620,837,460,750,487,873,766,
810,223,811,605,718,162,601,976,064,403,415,532,692,041,429,385,246,992,989,
800,257,845,106,879,299,607,815,194,217,979,418,342,870,815,062,112,990,257,
297,869,182,201,231,485,385,603,618,854,954,199,713,032,881,144,513,925,341,
104,725,110,228,023,151,528,298,567,526,458,200,753,204,712,266,570,330,348,
423,690,687,941,160,037,897,279,763,806,938,491,810,888,416,438,162,639,154,
357,268,261,832,639,881,263,519,217,314,325,389,295,213,697,987,123,666,253,
369,864,225,355,981,345,738,661,217,855,146,175,585,404,555,658,676,491,210,
695,264,288,051,198,219,389,616,606,874,753,467,338,523,296,140,203,169,900,
116,396,044,821,984,850,626,375,616,459,540,754,395,344,538,875,260,888,540,
416,848,833,843,195,756,943,452,394,449,996,111,476,331,631,266,443,488,580,
643,928,065,757,527,123,524,778,945,839,177,518,662,798,935,208,179,514,485,
308,365,321,052,982,547,918,086,769,178,252,890,128,303,635,295,569,030,008,
835,240,263,150,887,274,772,060,661,162,570,609,443,126,224,706,270,748,315,
542,384,663,644,747,707,193,999,775,332,643,585,676,044,335,672,387,321,442,
570,238,085,363,784,736,991,682,228,805,032,052,923,602,145,813,701,513,061,
176,291,211,949,545,662,395,402,570,709,054,370,737,100,556,234,539,965,697,
263,505,703,905,167,048,213,181,283,872,705,702,992,078,787,838,673,158,718,
861,155,736,362,849,589,560,778,035,588,967,853,085,180,921,836,845,269,567,
027,640,256,920,514,157,522,148,223,302,331,545,681,672,765,029,696,796,148,
736,877,539,332,671,016,508,554,066,687,036,803,131,347,302,674,429,232,658,
128,411,871,771,337,725,784,127,478,995,287,988,095,198,564,258,421,911,778,
516,402,123,641,035,190,871,111,119,960,661,094,596,198,834,149,398,197,620,
693,692,520,689,128,911,584,014,278,271,728,527,103,611,373,648,058,541,231,
061,954,852,998,270,554,620,578,365,210,323,330,855,018,184,332,670,866,737,
389,963,982,655,431,256,005,545,191,192,616,844,066,410,388,164,707,754,216,
260,520,157,291,053,807,079,019,093,779,033,732,346,609,118,670,030,423,319,
378,297,287,872,775,477,248,752,340,402,634,143,040,020,189,848,056,184,945,
392,142,088,397,856,523,790,563,720,613,166,367,138,942,079,164,300,643,701,
886,960,179,612,970,243,486,197,778,970,458,251,321,768,304,096,554,969,593,
660,183,423,761,962,154,075,802,453,217,605,835,164,891,609,790,579,838,518,
699,862,367,816,496,482,426,719,659,007,289,196,317,708,029,241,939,291,714,
213,577,159,046,798,487,688,225,787,016,000,481,496,476,360,563,949,021,182,
472,239,184,795,430,527,173,901,057,765,238,832,327,209,470,859,863,488,343,
743,131,892,061,120,407,204,447,028,628,081,644,997,068,096,005,609,277,793,
754,961,989,840,120,918,932,099,522,975,340,990,016,749,196,580,413,348,839,
408,887,389,509,674,138,445,721,706,746,891,306,988,516,984,535,300,050,317,
359,728,603,880,869,635,187,601,616,132,531,031,273,665,571,370,508,359,740,
367,657,237,986,633,853,855,444,328,587,038,022,320,972,232,111,923,345,995,
661,713,750,823,424,859,367,573,565,326,751,643,960,626,957,242,835,619,844,
467,141,115,967,095,396,865,399,882,514,543,262,211,596,042,985,601,580,115,
674,015,897,996,471,450,490,949,138,128,401,140,530,352,620,391,393,459,001,
691,914,496,798,674,721,996,172,613,600,316,791,458,198,586,853,388,980,109,
466,226,732,379,903,812,915,566,111,278,210,297,239,260,434,371,579,695,935,
994,326,382,366,512,914,864,435,643,468,503,922,499,973,135,138,887,910,203,
764,291,675,141,493,548,378,967,776,067,411,224,703,955,864,773,892,699,033,
485,911,433,674,143,115,135,362,366,400,548,850,590,596,843,589,101,765,903,
200,388,912,487,284,549,135,072,510,666,745,613,371,824,234,960,138,102,702,
584,089,594,877,685,683,250,785,035,064,630,815,252,885,651,761,363,667,028,
368,059,466,708,875,114,957,318,803,543,250,081,621,474,806,041,321,098,394,
261,123,817,310,143,240,961,764,856,163,077,513,191,757,071,239,619,988,900,
861,629,367,600,307,579,511,723,942,816,214,663,578,187,559,559,467,071,838,
200,078,422,706,404,669,112,989,452,519,878,972,543,905,714,951,961,942,368,
670,300,192,238,346,806,638,935,681,320,770,603,317,056,070,136,381,568,558,
565,904,760,921,116,664,887,239,031,781,884,829,574,221,057,726,861,302,499,
240,902,897,050,769,605,338,175,599,954,870,096,171,980,121,189,593,673,397,
794,326,266,336,155,855,159,506,066,278,994,161,474,070,358,292,153,001,270,
990,518,288,364,720,056,337,020,396,951,947,076,810,347,228,836,017,783,061,
959,930,875,348,030,430,210,778,263,320,373,242,968,692,864,891,287,483,796,
043,326,771,506,486,656,639,835,593,241,162,172,258,722,508,582,953,071,108,
681,770,731,621,510,973,602,269,990,093,482,448,393,681,514,462,175,654,144,
001,418,514,135,647,871,410,075,043,575,885,815,379,164,445,295,496,451,006,
599,419,381,126,275,537,801,419,903,177,527,056,756,588,222,056,008,317,996,
496,258,728,001,908,223,002,091,826,286,910,307,288,297,053,202,652,622,272,
948,325,903,343,771,708,371,948,663,027,101,744,625,700,841,332,541,982,031,
784,630,622,246,772,526,732,002,565,123,269,946,103,351,271,761,813,471,018,
613,357,775,800,077,297,375,689,852,046,105,025,606,349,560,676,371,182,785,
448,339,253,951,685,019,339,502,792,863,303,268,284,392,190,024,410,027,404,
412,706,295,213,168,778,633,560,881,384,799,732,155,099,438,801,238,038,070,
897,800,413,650,560,866,843,006,477,076,987,131,513,277,291,129,202,562,162,
638,726,616,794,803,618,137,195,931,296,148,218,663,914,652,704,797,068,595,
958,107,204,969,453,553,286,729,432,574,050,560,751,573,807,628,392,397,586,
722,547,654,959,679,258,850,405,084,642,577,680,127,917,526,517,173,972,109,
658,634,381,685,672,395,246,664,460,532,809,817,851,950,575,031,763,959,645,
084,950,569,146,664,550,044,253,670,789,261,801,005,552,255,170,979,185,254,
203,055,640,816,833,216,728,623,090,459,015,322,624,947,650,420,619,779,762,
552,610,912,597,814,186,085,067,313,414,024,861,226,444,964,508,534,151,440,
978,871,699,107,411,033,695,620,805,220,907,606,180,656,413,468,592,975,897,
610,313,220,950,936,807,642,895,580,138,998,332,062,400,744,235,638,692,894,
079,045,954,329,193,481,843,372,641,982,327,253,057,408,475,794,584,960,452,
568,937,405,327,148,197,727,641,489,911,176,617,135,172,641,322,046,889,706,
891,340,089,417,984,757,630,720,322,618,610,125,169,698,452,636,410,126,313,
887,877,803,331,855,314,456,068,699,981,926,628,775,540,856,565,439,961,770,
316,875,219,175,425,065,548,542,586,745,678,630,407,603,770,514,749,712,998,
241,265,294,011,605,397,126,390,533,618,945,194,067,341,419,883,261,338,362,
164,686,842,720,675,160,992,206,413,714,497,314,961,422,939,482,057,317,833,
019,493,102,994,171,301,911,670,963,011,427,038,715,209,755,585,502,874,097,
840,500,981,202,380,774,048,769,184,318,215,864,355,805,275,977,558,373,467,
116,662,509,065,304,709,837,497,499,429,759,255,562,744,007,883,260,019,829,
480,433,007,048,604,481,819,119,727,696,544,532,778,583,621,851,032,521,626,
727,758,068,391,353,748,981,004,983,962,888,993,270,024,374,878,967,437,996,
562,390,653,476,617,928,595,742,559,123,863,260,485,049,091,406,754,636,246,
793,708,821,085,864,726,500,091,469,835,451,858,076,018,165,411,703,632,889,
050,028,645,565,355,643,657,467,124,083,307,180,689,037,834,836,288,410,263,
238,134,650,226,078,388,421,779,334,041,946,278,530,932,996,012,073,879,275,
996,329,239,959,490,733,083,103,630,859,113,422,367,292,600,069,473,070,311,
916,789,504,984,100,847,961,072,676,148,893,833,337,787,224,952,752,338,079,
891,495,884,997,513,090,734,163,879,916,843,254,829,299,662,480,756,075,998,
408,119,721,829,691,286,310,208,888,938,224,599,890,959,409,140,405,842,439,
760,803,314,691,842,141,118,546,661,843,104,734,537,441,432,576,464,002,841,
362,451,147,608,387,968,607,533,560,011,208,975,748,380,010,443,879,607,785,
274,688,682,964,729,493,442,890,145,115,733,379,230,778,721,876,642,800,191,
390,514,169,133,372,188,231,449,431,558,088,434,432,971,516,788,587,164,179,
836,250,366,200,004,683,203,127,620,952,254,317,490,099,867,949,499,244,031,
595,882,549,607,660,380,698,654,499,901,835,583,713,815,015,964,537,440,770,
920,800,337,784,915,593,746,266,823,861,331,642,789,444,107,580,123,206,084,
304,166,145,159,205,393,236,857,108,127,671,863,916,694,170,109,458,725,475,
063,500,919,345,720,879,927,222,958,745,383,448,290,951,992,983,541,929,518,
909,310,643,759,985,146,745,363,820,587,295,346,455,573,727,547,990,740,323,
650,534,181,155,152,748,632,162,724,445,712,525,145,567,745,128,716,262,106,
320,195,753,363,386,893,802,206,590,465,992,565,680,012,975,337,216,113,662,
584,919,180,231,289,698,659,318,781,035,201,758,926,618,909,301,147,331,722,
762,153,105,568,784,046,622,832,385,895,543,770,362,980,829,404,037,591,531,
551,422,031,034,521,679,075,613,301,128,091,938,511,716,641,206,300,207,072,
626,639,404,411,877,524,359,822,807,214,498,490,103,227,192,291,891,049,127,
389,957,620,145,162,053,235,250,024,295,513,454,765,023,181,218,075,826,413,
236,079,974,624,842,670,870,774,175,484,583,553,500,082,770,572,880,506,400,
439,600,807,146,136,579,176,585,984,989,996,743,116,871,232,860,991,387,210,
020,944,348,054,598,379,768,192,087,743,690,829,094,594,678,246,278,237,929,
658,985,556,262,256,432,975,656,622,511,396,018,074,850,790,067,255,404,513,
495,796,043,752,068,699,366,521,234,558,007,389,336,004,306,965,528,682,856,
251,246,019,822,713,839,463,164,616,068,341,393,866,568,661,432,844,122,332,
074,141,078,244,695,678,059,234,357,163,737,398,412,358,925,233,184,771,245,
654,943,429,521,611,494,923,526,316,159,520,402,214,127,823,374,261,493,899,
611,177,667,031,316,550,380,024,582,489,339,614,518,776,880,626,169,908,922,
881,666,889,665,974,475,031,481,572,674,387,409,543,930,160,639,145,215,337,
600,541,288,390,876,356,127,036,630,709,541,359,235,805,568,731,534,060,938,
743,253,789,322,629,081,283,856,881,958,711,831,384,746,028,801,531,825,319,
673,066,897,528,722,826,417,233,470,199,849,139,914,663,861,186,283,292,928,
324,537,636,246,327,131,023,022,343,490,487,260,608,157,033,652,401,592,291,
233,597,606,872,088,573,902,334,468,939,886,293,538,349,135,771,717,240,821,
683,685,239,476,343,687,752,357,066,188,952,519,525,736,609,096,804,112,265,
516,110,451,387,132,625,145,906,884,627,673,430,523,429,855,320,783,693,751,
492,102,184,814,042,510,771,367,583,872,595,109,042,115,206,105,017,282,288,
618,436,221,662,149,169,205,379,032,508,894,598,614,402,163,226,451,885,341,
765,048,717,067,536,863,807,425,008,494,690,552,584,080,884,579,546,521,818,
712,991,583,390,404,794,166,791,452,445,850,000,425,423,545,932,519,563,394,
240,378,054,795,458,088,596,455,496,216,015,294,253,145,323,151,347,038,310,
898,451,684,088,425,906,904,071,738,556,054,904,027,201,926,721,915,322,234,
553,542,809,038,634,564,352,461,164,969,877,842,562,643,239,898,661,760,480,
058,799,683,438,262,789,660,164,028,445,636,979,952,482,764,441,752,539,321,
850,626,097,635,482,203,576,382,451,211,483,510,101,607,700,997,260,615,912,
978,775,512,269,461,200,830,692,376,666,747,089,380,248,445,802,709,644,138,
478,963,354,710,669,336,781,157,661,400,196,335,356,606,428,070,200,815,660,
384,748,324,563,777,124,847,753,524,976,168,638,033,315,928,730,670,174,567,
083,805,202,275,243,680,427,947,224,914,726,594,818,186,506,563,326,585,270,
866,960,125,963,540,996,976,395,738,825,517,323,205,850,873,953,850,061,217,
272,808,417,560,544,781,337,101,983,316,790,375,218,264,043,471,051,839,823,
524,497,348,673,417,274,443,880,580,798,157,667,837,634,510,276,388,099,089,
053,956,423,614,220,903,534,387,462,915,654,947,185,190,103,968,143,973,791,
841,827,591,693,221,552,709,328,583,729,174,275,218,416,188,404,766,806,315,
916,258,984,918,097,743,281,149,865,127,501,266,325,189,007,043,013,051,232,
796,333,206,416,987,755,328,965,389,234,638,001,605,516,311,500,226,847,207,
481,852,902,598,795,444,395,804,064,518,914,516,098,750,962,922,752,069,870,
838,243,605,979,778,349,857,559,589,368,376,449,500,733,394,083,859,960,812,
562,385,647,136,106,365,413,354,080,208,403,021,626,741,542,066,707,257,117,
091,820,049,280,430,377,383,956,987,783,249,891,835,244,223,358,880,906,796,
570,939,068,566,475,086,763,773,033,727,186,422,411,087,791,524,254,198,268,
305,806,418,659,768,075,274,086,960,106,619,405,356,261,988,484,842,513,322,
835,316,786,787,186,060,217,476,920,610,023,420,420,906,412,837,746,362,030,
933,932,276,521,044,508,429,647,507,312,325,822,398,156,657,670,863,662,453,
043,418,365,344,911,772,789,148,988,416,978,565,913,647,362,701,162,189,438,
073,187,299,852,875,544,029,706,832,106,803,692,574,996,496,929,760,179,779,
590,498,756,035,740,688,201,968,400,734,061,032,641,310,825,037,785,272,053,
731,430,032,884,333,176,417,350,194,868,590,321,020,432,109,869,366,054,871,
196,643,681,260,629,124,461,955,935,299,924,839,753,749,646,773,357,228,600,
817,107,017,907,327,581,353,402,576,963,867,463,937,428,257,474,475,700,566,
483,923,699,885,201,802,257,712,910,887,765,510,812,792,282,044,877,319,660,
009,745,537,188,116,841,967,511,762,306,216,667,752,857,542,625,333,673,247,
696,185,872,798,352,412,758,190,941,702,245,260,378,228,101,665,850,561,021,
924,966,492,499,856,256,214,161,912,525,078,395,093,543,994,974,484,184,499,
523,356,804,915,160,822,386,754,293,210,906,479,386,661,051,661,454,137,605,
081,443,938,480,124,922,459,199,410,303,982,953,804,467,315,232,290,595,526,
895,622,281,209,104,406,130,640,837,051,171,408,495,618,678,513,724,953,711,
408,809,906,480,578,826,551,984,223,922,850,990,646,178,671,140,378,537,914,
842,160,076,588,273,245,645,404,919,109,971,600,304,609,736,545,468,906,454,
003,717,782,192,549,221,773,682,920,849,269,255,379,159,145,943,600,290,517,
008,693,797,453,654,396,117,240,467,834,951,037,027,834,740,113,123,797,578,
687,551,322,542,156,823,916,063,321,437,928,411,221,721,034,277,539,469,441,
918,166,490,082,350,617,406,085,805,356,172,717,722,668,768,006,688,803,582,
687,920,391,753,509,286,882,727,688,990,925,386,990,302,697,775,282,265,520,
179,021,154,278,741,275,816,638,206,497,851,945,668,077,681,456,813,510,449,
094,759,557,555,244,548,815,298,986,320,233,424,275,877,035,866,659,538,611,
417,624,987,624,358,141,638,371,781,401,908,779,817,292,347,602,744,193,223,
103,267,543,513,547,007,019,683,133,423,725,501,887,443,221,842,377,130,317,
266,215,512,079,451,511,827,657,987,318,350,518,621,125,088,955,671,493,114,
726,226,846,306,996,108,436,498,040,067,927,638,858,899,313,971,406,161,700,
423,027,884,553,665,402,257,225,800,589,277,263,242,580,220,645,608,715,452,
226,846,268,004,639,439,471,252,642,469,186,808,527,710,225,645,652,827,225,
023,302,030,850,143,703,323,965,761,580,007,804,278,937,276,678,106,669,611,
494,698,223,652,105,668,354,383,950,721,591,896,475,889,105,960,058,974,223,
222,407,098,755,809,499,739,847,784,479,992,934,071,895,287,481,097,822,718,
491,392,291,811,697,499,545,800,745,307,598,142,781,807,543,137,147,997,028,
441,553,921,190,239,480,920,458,350,086,512,985,027,525,273,729,193,197,257,
036,718,399,054,901,121,853,495,136,624,380,482,452,639,120,049,433,893,588,
836,033,335,610,036,348,389,249,875,554,058,747,371,148,647,174,798,784,855,
223,759,441,455,642,239,896,598,085,228,409,683,406,982,839,135,754,882,112,
172,960,007,261,785,182,936,287,288,637,517,700,230,465,262,746,053,056,226,
433,205,222,565,401,834,737,427,628,184,227,658,738,347,863,415,589,836,753,
141,480,796,300,159,372,591,272,040,253,689,322,099,275,001,860,461,059,989,
813,404,838,704,276,207,059,486,876,264,506,718,814,662,976,610,965,536,508,
576,504,827,373,543,628,304,485,537,631,647,448,445,044,729,669,140,317,742,
132,725,477,888,562,447,262,636,398,683,882,591,608,869,561,715,383,665,657,
649,411,686,448,072,675,305,248,723,266,041,628,254,502,750,462,234,233,315,
787,642,139,547,619,186,426,055,685,747,888,462,705,614,322,076,368,763,140,
194,779,111,087,978,025,633,309,130,729,147,176,842,711,621,306,965,020,250,
717,106,473,041,671,819,730,113,017,061,849,721,607,626,540,483,469,403,743,
064,016,953,856,095,146,362,640,043,378,171,493,207,379,425,587,406,464,783,
020,050,860,469,750,094,991,154,858,157,395,073,018,081,832,577,405,282,104,
487,297,238,162,969,012,938,185,429,636,085,373,398,973,323,628,638,797,873,
507,230,452,801,448,139,579,892,207,821,774,226,181,915,269,586,711,681,146,
867,799,692,688,546,577,236,098,967,785,437,468,339,109,668,066,663,355,515,
740,780,033,476,828,485,911,427,260,521,950,516,796,408,903,585,347,668,981,
315,292,870,836,250,455,925,805,606,752,593,540,696,852,701,984,350,132,050,
446,872,756,123,199,880,186,985,587,160,108,654,904,834,750,686,061,791,602,
356,061,476,096,164,949,679,484,865,626,281,549,643,908,470,241,241,040,880,
305,837,197,764,954,599,971,476,767,416,582,895,014,815,642,555,725,051,779,
840,817,478,522,763,212,650,242,535,309,831,965,868,834,022,679,468,657,679,
914,680,694,135,819,668,999,721,012,088,216,660,227,776,149,304,924,799,950,
101,573,874,124,762,686,032,877,943,874,087,962,648,327,612,263,704,739,395,
071,743,096,804,523,695,527,333,105,645,167,336,552,851,942,614,043,336,121,
137,907,907,790,504,730,166,358,177,464,140,045,891,500,905,184,932,355,326,
269,955,103,473,525,191,105,995,017,630,287,284,280,976,280,349,351,320,246,
653,921,408,932,322,344,963,013,065,209,950,105,949,813,928,388,399,680,761,
988,621,136,181,764,721,727,071,269,219,902,977,436,190,885,601,745,852,046,
708,966,845,878,035,028,690,587,787,482,277,662,947,073,197,001,782,418,532,
440,025,483,993,310,600,690,032,496,189,387,107,745,270,828,866,451,360,820,
863,229,765,751,091,803,400,472,410,310,231,713,674,902,435,878,283,702,049,
479,868,935,137,752,145,345,294,257,743,580,043,599,299,364,028,537,820,785,
643,077,481,881,917,270,335,226,037,725,922,746,373,913,922,405,096,939,943,
656,321,082,269,978,265,181,460,006,213,058,364,810,173,816,935,626,993,732,
063,452,004,385,460,636,334,805,774,637,289,763,464,277,992,900,235,292,435,
853,028,423,531,563,826,504,418,173,950,339,216,563,318,613,543,715,979,030,
092,543,862,878,228,077,853,609,245,524,526,896,592,538,814,505,163,622,077,
262,645,248,919,413,901,324,776,655,061,197,856,497,255,616,339,661,106,075,
827,026,322,089,140,722,141,192,081,927,012,955,240,657,251,252,102,333,557,
042,441,609,083,771,403,439,540,087,052,405,546,636,143,054,018,780,653,411,
971,229,171,683,405,503,970,780,993,797,748,472,501,503,224,139,531,857,751,
010,849,618,757,192,258,815,559,611,453,892,828,546,979,454,815,996,524,136,
231,933,517,834,129,516,742,746,829,292,310,394,666,603,948,467,434,480,591,
428,585,639,625,836,801,049,564,261,989,404,934,485,640,775,065,896,304,056,
784,375,949,108,845,460,192,491,766,767,401,433,123,343,137,417,858,992,418,
826,985,633,105,965,277,603,936,586,374,097,741,632,112,054,030,830,181,195,
214,523,533,107,613,944,927,544,919,176,731,878,162,366,727,615,194,560,033,
452,308,831,724,332,955,827,774,050,893,135,768,322,269,810,316,736,324,525,
538,440,359,837,529,462,353,643,136,974,747,439,350,430,490,433,527,552,400,
628,850,206,997,928,199,694,719,232,225,347,974,070,674,046,988,537,718,929,
436,772,271,504,282,955,744,028,063,923,354,468,716,326,312,461,192,818,811,
441,594,427,428,322,380,389,002,526,970,991,459,468,212,545,029,877,667,071,
035,184,009,565,639,008,252,489,682,009,815,446,709,831,036,404,968,338,383,
198,725,611,043,495,614,779,629,094,073,896,370,978,545,932,869,904,676,207,
918,087,347,353,662,015,282,336,291,793,295,503,050,507,207,565,909,023,742,
551,152,437,447,212,360,375,241,340,923,405,814,569,123,870,511,647,012,962,
670,091,539,721,591,612,707,892,238,913,492,357,075,497,249,719,582,944,495,
386,523,439,027,788,501,101,235,938,036,039,383,830,144,501,018,814,370,141,
413,730,875,527,323,160,385,495,543,835,785,717,018,483,429,294,007,875,551,
978,421,316,181,117,976,497,884,579,250,244,598,675,953,143,234,036,257,679,
173,748,913,003,398,330,367,692,607,479,142,220,499,986,244,692,946,904,470,
925,038,400,230,878,254,220,995,464,299,436,266,753,735,768,426,393,025,024,
408,674,563,805,420,765,181,560,635,187,061,863,987,184,726,409,808,721,304,
417,059,159,747,280,092,845,113,482,120,637,284,190,407,325,661,996,512,147,
347,988,824,204,800,972,386,708,687,013,679,034,011,996,749,084,176,170,507,
684,993,517,647,418,396,558,998,709,754,319,548,835,620,440,414,219,455,347,
647,626,244,673,592,211,726,628,834,497,934,729,544,447,542,527,492,099,274,
361,528,752,730,097,985,580,151,961,826,996,944,821,053,906,428,913,854,042,
998,193,167,608,044,408,720,583,284,829,257,680,162,634,453,986,111,832,920,
736,022,696,710,716,818,766,737,818,104,723,386,886,436,541,124,190,912,219,
550,341,633,035,457,908,144,750,264,025,975,152,215,989,964,880,204,699,976,
551,330,520,499,329,031,874,844,651,456,874,699,048,568,251,235,504,249,864,
210,617,765,916,979,331,968,065,920,260,170,652,762,969,575,983,206,494,982,
998,640,513,874,944,809,628,386,815,484,069,526,915,451,392,686,027,591,237,
352,540,707,385,466,976,802,619,532,641,577,326,581,764,289,031,385,639,970,
526,397,024,568,499,976,897,419,554,976,516,731,708,975,267,565,192,697,794,
772,037,009,452,374,752,246,059,776,747,868,602,244,760,934,507,492,223,493,
581,353,042,116,123,750,785,710,726,301,205,423,700,104,781,983,976,478,083,
752,152,208,064,121,595,807,263,910,653,304,076,284,040,840,203,001,808,590,
071,788,495,690,503,748,556,474,968,067,371,994,990,261,012,540,288,302,960,
469,879,932,879,287,429,187,007,246,729,821,078,156,801,641,611,796,260,749,
598,672,314,752,297,001,364,733,918,674,653,913,952,062,707,991,242,714,287,
420,704,737,339,279,552,587,914,148,951,084,009,040,371,392,454,416,070,773,
487,764,383,252,735,284,376,876,618,752,081,564,668,727,903,285,423,456,292,
005,412,466,203,392,644,902,048,962,729,058,973,863,141,821,369,240,421,212,
194,300,298,083,791,650,853,368,399,602,026,046,455,438,876,538,637,808,030,
596,135,922,040,440,748,732,132,709,122,255,803,543,311,784,208,245,604,272,
696,094,008,415,322,903,635,406,357,469,184,486,916,298,863,156,854,988,833,
744,807,360,523,175,861,136,201,020,056,128,375,469,341,113,534,861,770,492,
545,376,556,977,498,707,732,520,351,901,976,510,570,968,895,777,269,985,039,
132,243,354,686,728,006,553,158,917,452,210,327,887,260,609,692,885,546,989,
791,182,955,200,842,388,387,666,088,533,899,550,898,958,896,031,031,070,145,
022,170,770,351,934,381,305,597,024,272,737,904,948,540,428,518,924,270,549,
274,958,102,134,224,545,531,703,812,630,310,949,249,636,809,467,742,614,404,
729,153,011,363,764,730,254,622,088,121,169,405,693,263,552,782,020,421,294,
712,171,729,271,817,586,016,004,577,729,129,371,855,312,901,370,124,353,388,
218,697,913,484,343,118,589,192,864,593,007,577,064,913,508,460,553,551,206,
627,633,255,504,018,391,690,820,676,166,889,512,593,318,931,967,783,938,567,
353,007,352,078,864,591,564,397,218,872,644,543,720,003,657,394,220,910,660,
601,275,700,631,478,099,795,821,849,104,897,831,189,948,357,898,261,501,074,
840,124,363,098,802,333,329,948,869,443,403,797,721,445,312,095,064,828,038,
410,589,970,569,302,925,100,878,169,364,124,535,025,894,904,346,326,895,018,
067,658,526,895,863,562,462,708,469,297,172,389,551,043,207,644,818,185,150,
879,267,876,528,754,583,425,832,031,496,986,821,181,942,135,936,866,343,557,
947,563,730,897,910,797,380,434,704,238,540,182,411,592,107,065,730,422,956,
155,627,282,615,108,686,559,378,047,563,879,234,658,701,804,245,295,899,089,
155,880,188,307,221,022,687,725,851,163,682,260,560,268,022,934,371,618,560,
390,203,108,019,438,443,248,275,998,264,578,089,794,359,375,351,645,510,006,
405,935,000,735,578,115,138,062,902,556,849,414,891,409,730,765,909,902,579,
129,413,138,496,960,294,595,380,366,676,830,040,404,088,375,167,202,459,972,
761,907,728,917,805,560,492,078,055,688,333,500,472,446,073,592,750,043,203,
102,882,546,171,963,417,347,061,434,198,899,639,135,617,856,455,535,614,426,
538,607,422,787,338,282,370,435,605,939,892,382,065,004,614,121,338,587,373,
960,045,233,058,421,538,000,473,130,005,066,787,648,407,831,633,956,949,841,
274,716,022,986,832,818,620,923,920,194,491,536,941,215,189,493,085,035,610,
093,201,040,966,473,500,804,869,264,320,699,418,172,552,027,212,405,533,506,
279,556,587,021,260,694,737,526,832,817,372,914,091,489,856,135,773,594,007,
471,789,876,207,403,424,351,286,614,976,491,378,895,182,882,650,877,111,077,
470,817,123,996,787,434,941,637,181,412,758,536,690,845,176,389,590,355,474,
674,405,991,726,721,863,533,372,275,440,151,186,368,239,624,662,403,539,110,
097,662,052,672,274,225,335,700,788,020,345,220,407,473,799,380,570,832,985,
712,733,626,515,004,301,378,503,901,485,236,554,756,920,513,196,202,342,494,
412,700,552,919,477,899,629,193,559,906,695,915,647,120,365,114,369,161,107,
700,633,798,698,740,146,466,763,787,210,841,973,593,481,966,042,567,496,951,
987,046,416,632,253,730,767,585,415,603,962,862,824,340,511,082,795,237,574,
758,636,283,114,475,334,645,347,913,057,798,966,762,276,378,340,658,936,542,
855,932,307,794,937,349,131,340,626,673,805,951,506,964,255,473,924,895,055,
757,862,139,618,729,240,063,580,662,660,420,964,034,819,372,413,961,160,755,
157,772,814,860,750,466,844,533,010,249,803,378,618,668,922,372,918,777,486,
971,333,460,708,590,614,626,555,689,664,129,221,191,491,735,929,321,381,758,
466,263,538,632,520,101,436,045,476,175,000,565,901,593,631,752,923,482,066,
292,912,967,118,948,445,230,302,308,499,933,270,053,542,286,579,119,791,994,
478,568,567,927,905,813,378,640,142,855,309,781,897,284,763,579,327,689,232,
138,903,051,774,006,632,250,859,395,580,637,941,723,260,882,748,698,157,362,
323,963,663,055,112,657,779,906,185,870,903,144,613,911,337,370,338,405,872,
222,302,176,023,985,805,472,516,846,557,705,231,575,203,434,594,553,860,826,
827,002,704,087,589,114,605,114,880,655,656,776,045,206,909,594,725,657,395,
909,160,384,918,378,468,874,784,207,677,614,834,762,973,761,518,173,726,970,
944,331,870,408,433,047,140,632,477,590,732,550,568,041,519,870,792,842,462,
813,732,628,452,686,695,712,215,594,112,163,544,274,556,348,896,573,060,382,
574,495,374,787,255,767,629,735,578,599,600,925,592,443,395,139,120,552,439,
166,946,690,188,578,455,984,183,444,084,283,258,857,664,974,398,785,828,093,
469,750,939,395,713,673,260,409,219,881,941,842,657,091,338,001,834,121,115,
595,036,619,115,587,845,362,792,574,609,907,362,993,167,880,728,926,565,880,
013,248,119,172,079,185,661,567,435,403,667,520,216,662,622,761,968,165,305,
610,191,639,222,577,323,281,318,211,411,755,398,583,690,760,775,026,944,392,
148,379,159,936,369,310,929,124,452,486,588,004,272,305,659,141,914,038,353,
060,295,211,497,699,395,844,020,550,986,481,376,408,071,679,853,263,266,699,
981,889,695,984,673,616,858,049,929,366,182,704,082,152,143,748,165,327,987,
570,181,522,295,630,346,482,406,442,078,890,223,045,206,073,234,714,356,848,
741,515,576,279,985,246,359,947,815,682,270,049,485,392,154,840,816,677,852,
376,507,347,175,158,424,449,769,867,426,928,724,896,767,299,248,078,460,122,
184,912,730,689,335,262,246,842,768,846,100,762,842,934,859,141,566,536,046,
718,464,153,426,315,009,876,719,710,566,764,310,851,675,230,311,517,508,490,
023,436,616,633,997,294,608,681,143,847,521,917,575,588,170,315,483,716,260,
442,381,107,241,454,813,067,739,022,637,665,172,324,525,776,946,804,284,086,
363,729,193,408,257,199,552,910,237,147,188,174,927,561,960,593,266,835,140,
013,802,777,965,782,715,212,840,162,264,801,260,346,196,804,889,305,798,081,
935,721,693,374,497,582,954,006,627,248,227,663,446,749,532,201,702,455,407,
066,931,995,041,386,063,265,989,829,023,672,507,686,464,600,869,956,485,339,
761,435,973,684,267,538,296,451,134,797,335,371,638,564,845,590,999,681,552,
993,886,474,645,362,739,792,698,991,479,974,406,760,363,106,197,873,327,791,
639,647,704,764,546,534,218,422,294,788,537,381,254,239,620,113,527,532,778,
697,059,667,695,109,760,708,334,689,315,073,170,800,904,806,126,971,168,886,
148,952,502,349,332,940,144,320,133,805,335,709,347,392,789,909,093,073,443,
636,421,813,445,146,177,734,736,102,964,324,054,315,319,864,442,509,043,355,
987,914,792,351,162,879,514,460,111,351,904,536,642,946,711,800,495,110,496,
916,254,094,221,711,039,791,289,010,010,568,505,460,382,487,551,655,950,065,
855,902,413,923,839,064,377,678,203,572,507,635,191,977,197,781,978,784,816,
823,815,228,303,541,162,109,454,904,920,568,148,783,168,492,488,557,657,817,
391,247,016,741,151,941,964,269,332,183,615,177,622,562,664,793,268,822,441,
128,963,355,001,683,540,510,697,728,141,496,359,064,614,953,291,876,667,181,
959,664,806,115,823,103,742,772,016,718,206,936,201,551,318,733,820,306,369,
826,786,842,326,125,740,367,163,461,592,257,615,078,515,929,323,218,644,590,
881,795,281,611,204,052,027,485,523,204,120,042,975,112,922,354,141,764,292,
363,408,028,508,743,330,511,358,467,277,513,879,601,614,479,855,869,700,933,
092,784,826,203,913,208,360,010,298,308,515,804,214,003,620,553,755,025,214,
015,669,804,158,151,414,486,807,444,287,282,452,963,691,465,913,059,818,947,
686,677,174,914,622,454,009,305,293,513,421,712,267,564,549,490,236,879,841,
104,601,004,021,156,208,783,641,721,001,032,724,926,483,807,381,681,990,084,
982,120,199,435,471,415,969,174,094,030,948,996,541,124,571,254,521,638,952,
281,999,433,991,003,219,713,133,500,139,134,159,029,402,160,367,910,525,473,
270,228,680,738,654,897,498,737,765,258,677,973,564,220,916,283,547,888,902,
617,914,199,289,615,974,935,375,435,244,855,518,396,573,045,751,072,664,619,
994,405,594,689,537,756,915,385,343,390,538,868,088,522,511,438,760,964,152,
907,633,939,338,551,545,124,642,494,389,448,531,084,174,830,496,346,374,258,
603,124,404,834,615,726,924,656,709,200,223,475,122,472,353,506,710,691,377,
595,697,405,620,055,453,056,959,479,422,850,985,558,880,385,517,744,995,263,
529,773,081,093,339,624,953,872,755,775,541,550,023,179,103,000,548,161,478,
766,116,920,162,601,688,213,464,025,251,173,590,990,708,838,033,562,634,279,
070,838,030,551,239,297,333,661,826,198,030,181,422,524,973,044,046,821,916,
004,063,074,155,503,347,223,825,857,053,050,057,539,860,664,515,616,849,068,
837,348,072,816,485,780,797,781,240,035,584,564,302,870,662,338,994,168,667,
511,495,712,922,757,785,233,341,912,129,946,812,949,504,105,370,967,729,601,
477,912,111,443,892,823,004,868,080,746,382,065,473,051,676,429,639,764,701,
788,666,614,168,312,801,740,630,997,547,053,298,101,133,916,793,638,874,887,
888,988,532,703,100,702,650,789,560,311,561,914,115,446,740,122,336,711,207,
691,331,799,222,976,861,437,258,970,562,460,002,339,523,773,755,244,824,759,
490,128,095,424,145,924,971,330,867,592,986,510,187,411,892,593,970,196,140,
459,639,613,494,228,228,481,293,602,754,204,350,502,621,653,192,262,795,423,
722,134,009,367,018,220,576,042,399,634,743,893,147,204,746,846,629,212,692,
974,473,131,773,870,845,972,516,015,310,569,782,433,658,772,792,142,320,622,
601,392,866,874,389,524,898,681,111,651,433,314,144,117,793,695,618,584,318,
518,127,759,132,509,778,609,794,930,444,450,144,193,558,597,177,419,867,277,
968,054,317,082,456,987,689,097,736,451,833,980,349,182,655,893,681,362,183,
225,232,857,343,862,328,606,861,199,635,979,117,932,293,619,283,128,898,310,
861,639,787,361,086,622,235,032,343,579,781,112,116,521,159,062,886,670,170,
126,686,049,446,964,364,258,841,139,651,031,775,170,097,870,561,483,634,480,
636,766,590,236,791,778,889,805,758,933,168,079,803,820,868,423,211,486,743,
332,787,462,559,697,264,043,053,223,989,255,686,388,241,272,293,052,357,950,
782,379,784,437,320,997,610,554,831,949,218,770,113,100,235,571,434,249,818,
603,005,585,488,055,183,284,019,072,212,732,085,643,092,159,977,527,374,030,
053,274,662,574,209,869,700,151,362,231,749,312,575,134,262,072,511,678,707,
774,562,970,096,825,957,198,538,783,627,545,255,802,555,936,166,980,126,107,
739,563,960,455,439,240,059,141,927,482,932,322,760,624,343,819,594,963,389,
734,370,184,621,335,252,428,370,754,622,206,677,261,231,701,606,397,634,463,
648,306,489,558,092,846,080,495,092,812,694,451,547,476,919,497,828,785,231,
587,625,778,369,040,647,371,639,076,317,826,464,711,409,702,120,083,555,298,
370,955,408,333,674,917,701,853,070,833,889,420,970,439,544,326,834,631,997,
436,016,416,231,988,916,064,346,223,655,990,548,055,150,988,097,090,712,110,
574,594,032,318,992,156,859,435,083,588,162,350,298,152,136,507,378,980,423,
734,451,651,806,615,300,053,933,445,754,727,360,817,707,130,595,950,987,891,
663,879,971,231,685,647,034,055,389,510,602,293,220,841,019,767,839,033,865,
947,275,885,747,926,596,964,037,613,740,978,485,771,614,817,984,997,899,957,
740,605,602,084,486,187,853,244,385,606,994,727,425,338,644,600,537,674,086,
923,465,791,825,239,916,871,699,635,843,763,390,422,134,992,920,333,157,500,
644,515,526,267,319,150,169,140,849,253,732,426,222,401,214,204,227,171,202,
134,905,285,512,186,939,109,321,257,658,116,071,961,354,038,273,564,054,488,
182,047,129,198,210,383,774,843,213,355,221,036,653,913,955,966,932,955,762,
255,314,874,441,423,768,440,328,888,544,434,997,608,720,548,464,189,702,580,
472,704,080,921,059,077,639,895,863,717,880,826,251,036,250,493,694,273,808,
540,372,103,770,188,970,558,702,132,426,273,646,364,245,966,998,753,121,606,
664,383,177,353,661,658,178,996,565,523,071,841,926,306,914,221,287,164,197,
563,930,204,323,740,020,720,094,600,196,437,167,149,638,811,301,978,838,335,
226,487,606,593,635,526,253,960,260,618,947,985,841,025,761,829,633,568,556,
555,734,079,537,145,674,175,531,989,544,917,058,277,973,483,958,891,226,837,
265,784,600,999,320,675,198,028,832,389,001,517,402,437,640,911,485,942,420,
453,948,396,651,541,377,078,995,647,557,061,300,183,911,617,471,007,337,682,
412,322,996,683,816,385,246,954,516,211,832,898,765,439,821,482,077,174,354,
523,102,143,833,253,194,678,659,128,652,808,532,673,838,437,962,478,874,175,
418,085,265,898,741,495,500,644,546,900,286,723,713,509,972,777,907,337,857,
738,620,575,511,457,229,493,602,910,122,927,289,354,388,020,674,204,442,254,
656,109,202,238,131,917,031,238,490,659,219,688,655,239,557,797,492,873,558,
309,990,900,934,706,874,386,718,869,220,064,530,417,846,419,538,133,146,271,
408,915,570,746,378,425,671,705,928,063,505,181,381,185,223,006,050,838,673,
567,484,695,980,502,921,197,309,851,062,740,197,809,074,830,774,612,607,333,
365,504,911,796,196,773,777,693,131,797,359,451,278,991,005,349,034,884,196,
657,043,274,754,128,414,640,091,127,289,119,461,272,959,167,712,509,679,124,
039,070,177,844,653,360,290,583,425,771,004,641,769,892,770,045,288,905,706,
301,206,757,520,775,218,135,035,400,210,290,390,396,528,841,903,454,507,089,
152,192,896,757,270,823,397,910,428,779,367,390,170,831,530,857,941,752,821,
381,016,944,980,927,797,718,826,155,215,030,116,623,070,052,758,651,390,977,
706,105,474,041,829,930,767,536,078,931,880,747,394,072,593,868,799,201,283,
707,842,624,006,378,283,693,695,195,029,218,277,107,757,888,696,206,333,700,
440,011,766,430,394,062,176,999,790,408,487,167,754,115,451,088,505,262,318,
746,198,598,643,559,062,132,776,205,842,211,716,507,861,353,650,639,406,125,
051,966,081,191,097,919,553,402,967,327,193,008,160,075,269,127,460,183,090,
841,604,561,648,019,843,849,957,731,136,839,981,343,955,532,698,667,354,570,
338,103,321,755,325,192,850,288,638,030,091,061,834,810,814,816,492,116,478,
895,740,277,863,998,981,548,111,337,614,938,287,937,933,131,163,986,175,777,
182,973,247,264,988,840,806,066,662,575,053,583,711,424,071,356,553,384,334,
064,282,052,342,660,946,325,232,240,809,368,717,618,031,508,525,889,342,449,
849,942,859,356,105,721,936,002,105,987,485,104,639,563,300,351,522,962,526,
966,635,237,077,298,056,369,222,131,846,822,085,935,053,693,528,576,463,792,
873,073,734,034,918,232,862,530,145,393,098,169,333,013,779,428,351,192,688,
411,946,957,529,649,003,821,314,798,539,889,412,848,313,161,124,818,565,633,
814,301,330,730,034,026,502,097,182,384,065,233,418,255,099,258,335,990,751,
798,734,492,245,003,633,727,831,264,967,733,885,678,881,358,645,152,016,040,
922,161,675,569,556,094,984,844,756,052,719,734,043,980,181,344,158,016,636,
587,514,039,519,238,718,957,861,847,729,789,702,390,500,238,072,161,258,469,
423,235,988,799,430,175,816,295,852,644,208,691,890,374,834,319,125,512,416,
428,625,422,555,231,720,043,870,519,709,859,242,343,880,312,944,072,267,214,
221,743,273,902,903,344,363,016,292,877,592,609,041,628,089,791,007,658,744,
509,069,046,385,283,529,509,017,403,135,002,003,608,660,763,367,794,685,461,
848,110,219,348,274,802,851,624,868,830,470,207,497,268,632,473,437,555,575,
703,433,497,274,028,879,062,198,355,936,139,681,382,272,019,490,472,711,466,
583,122,608,607,400,781,161,760,158,078,907,904,138,219,809,852,425,038,816,
550,833,703,911,001,446,942,023,500,963,615,427,913,792,090,022,799,297,733,
050,062,190,953,077,522,006,561,917,794,605,689,756,436,256,747,994,842,517,
848,263,675,660,287,102,340,449,701,063,192,941,095,648,279,650,543,634,710,
329,457,686,499,347,881,815,225,924,357,692,223,302,756,221,812,592,067,393,
032,761,635,610,969,648,811,898,019,894,926,799,045,873,718,039,744,444,370,
309,231,278,504,413,155,800,510,573,115,061,618,310,103,557,591,267,629,660,
427,981,890,440,176,937,733,199,126,022,873,532,927,941,860,604,067,528,237,
912,734,495,652,634,542,558,647,742,599,280,557,048,711,422,027,509,007,977,
813,005,505,501,715,404,423,841,999,716,878,164,230,159,809,629,091,471,107,
276,757,661,379,209,582,079,685,575,428,622,889,869,139,148,417,678,887,050,
212,747,821,498,409,549,601,756,896,643,200,188,317,016,131,732,678,045,991,
317,592,708,243,075,448,693,398,368,484,089,561,095,140,299,124,131,482,686,
419,565,982,407,600,221,550,863,829,340,765,385,662,609,881,722,057,024,911,
408,895,778,815,861,036,583,371,690,629,638,299,100,258,869,767,437,512,777,
212,026,187,746,706,266,693,260,572,094,655,805,377,645,528,319,260,577,891,
452,317,099,184,291,655,611,701,629,029,179,699,444,467,835,152,477,549,020,
305,745,916,081,503,443,003,207,698,842,409,093,900,461,903,733,981,369,725,
144,260,300,787,338,104,883,060,039,876,940,364,973,762,845,133,603,490,686,
941,612,614,631,683,651,456,915,981,895,978,273,396,420,119,681,718,909,736,
924,681,530,548,851,455,604,802,048,420,351,981,665,451,347,010,944,036,900,
958,401,538,355,761,025,071,597,394,833,148,484,069,121,264,718,882,121,663,
526,388,038,795,782,240,996,534,396,044,459,195,599,704,322,606,660,760,101,
365,433,589,544,515,276,467,559,633,927,925,104,621,197,416,569,714,144,843,
101,640,028,437,332,910,583,675,338,136,404,965,041,492,693,884,492,795,441,
465,658,777,113,551,358,174,940,311,085,179,896,205,607,628,082,587,440,423,
037,140,988,329,281,357,474,247,778,378,058,055,224,704,597,006,874,474,170,
880,241,095,954,718,221,157,982,786,744,942,644,154,818,864,859,355,140,224,
412,529,306,652,248,303,799,473,704,745,697,247,686,789,020,443,202,010,660,
683,955,760,620,729,946,833,532,199,166,390,688,467,088,601,111,998,088,433,
338,535,693,379,603,573,147,838,202,249,454,815,572,163,034,561,795,225,444,
088,636,305,446,989,409,334,340,680,783,983,266,780,673,362,523,783,649,492,
790,996,443,069,490,754,266,354,967,250,589,450,205,169,348,169,766,230,908,
149,366,920,007,189,481,528,757,323,463,540,838,921,983,598,305,804,239,824,
760,714,066,779,559,853,902,703,675,322,407,789,930,356,197,833,787,746,822,
042,681,343,185,970,837,769,424,647,867,459,766,115,674,703,175,150,745,005,
088,503,077,996,740,919,795,347,258,125,767,776,425,073,350,442,190,929,286,
607,059,280,614,970,065,107,074,709,862,791,898,154,224,455,483,480,113,233,
627,356,197,574,067,938,107,984,631,788,620,298,822,495,272,307,022,227,606,
435,414,953,068,952,247,922,116,483,883,268,263,029,281,306,430,852,561,610,
876,446,095,578,746,859,471,585,022,361,069,857,397,609,620,527,816,792,634,
698,037,451,725,529,318,578,135,595,564,921,470,976,256,524,355,115,596,540,
843,869,158,229,776,398,541,881,835,368,804,052,229,567,942,507,040,466,015,
737,897,138,333,369,592,634,145,572,865,419,275,661,460,025,750,588,554,776,
684,415,657,618,663,834,774,960,060,742,971,070,403,398,863,738,343,434,321,
198,073,833,762,582,701,234,931,054,596,220,925,376,038,686,459,661,642,429,
165,430,753,246,044,117,377,242,105,812,114,216,696,205,031,981,890,439,880,
094,463,994,906,622,953,970,956,704,446,642,247,548,762,710,567,616,214,756,
577,121,023,359,344,228,591,166,529,506,712,635,051,099,175,683,602,588,032,
089,511,220,896,129,807,247,395,792,462,023,659,830,524,126,127,905,865,426,
369,617,243,879,316,670,489,855,879,810,764,885,938,948,203,449,591,489,286,
282,629,403,221,383,161,151,453,833,180,653,009,284,331,092,660,441,013,395,
780,111,744,478,623,313,962,563,940,816,804,554,296,922,356,627,279,535,491,
530,666,208,011,205,214,562,642,801,266,193,073,880,811,166,215,046,498,875,
483,559,380,436,798,189,025,687,587,427,363,056,752,020,840,193,820,224,540,
841,894,518,743,132,829,582,734,530,029,551,451,195,321,787,682,458,140,812,
964,207,517,786,320,321,003,750,707,258,755,755,740,461,032,382,555,805,317,
832,315,690,947,740,824,518,334,128,540,916,703,292,809,376,029,059,233,379,
255,876,974,068,837,595,243,825,332,413,239,369,999,029,953,307,721,987,347,
275,283,005,206,595,388,187,138,436,569,850,791,223,922,935,748,611,704,018,
134,324,022,291,265,381,343,234,797,978,297,859,282,721,399,910,319,009,444,
468,058,799,499,924,235,517,795,323,612,900,570,100,067,916,728,958,374,237,
378,833,029,383,779,408,522,039,695,394,092,898,370,762,934,714,070,067,760,
839,361,683,227,512,510,338,695,956,905,907,406,269,505,793,481,940,901,490,
299,316,657,894,283,415,643,392,636,261,956,670,277,391,300,884,861,309,171,
698,592,036,178,201,979,656,268,391,294,781,866,584,798,043,921,535,473,239,
986,627,488,312,558,523,403,967,976,563,001,864,153,721,140,254,174,502,936,
514,229,363,844,741,005,991,933,787,800,086,988,497,127,308,923,974,356,261,
619,726,014,796,201,543,384,927,862,645,244,497,864,614,302,345,127,295,615,
847,126,984,490,491,996,204,267,236,858,510,725,579,794,527,870,023,705,452,
795,266,001,801,987,992,626,637,697,284,812,988,943,388,339,579,409,222,122,
306,409,700,093,902,938,711,472,692,925,020,793,427,777,290,057,190,012,095,
572,290,079,206,115,780,503,047,222,707,355,176,119,588,779,433,746,469,115,
348,340,888,225,429,704,419,249,449,816,253,684,471,814,074,336,480,288,767,
144,686,876,298,573,877,475,595,150,181,724,211,037,517,980,855,276,889,808,
794,426,279,427,997,640,208,901,985,625,842,796,878,266,537,861,262,711,575,
721,626,373,717,821,998,246,548,435,190,572,756,540,676,536,026,657,117,525,
400,966,315,011,114,873,244,904,621,916,940,431,183,692,107,496,447,440,460,
976,879,443,108,499,200,969,915,947,223,596,729,801,654,208,480,073,349,473,
342,441,417,834,864,824,227,140,420,438,503,893,640,555,955,363,272,308,593,
680,379,327,487,698,704,771,501,212,010,914,002,305,677,868,576,752,438,903,
347,143,340,840,663,668,309,756,418,814,702,699,259,597,027,729,077,625,422,
504,156,310,178,922,162,482,201,923,994,036,179,309,405,262,139,374,182,529,
962,419,093,658,582,302,522,191,884,244,690,712,754,340,159,794,666,758,013,
154,027,678,907,769,829,103,492,396,524,896,577,975,447,788,719,891,910,287,
475,262,065,100,227,850,991,131,410,853,166,306,832,092,520,641,523,153,983,
717,379,978,307,298,106,044,750,347,486,118,413,361,513,841,055,647,346,002,
208,379,594,675,953,007,560,390,056,621,388,999,789,444,605,518,915,600,081,
305,051,846,533,552,708,120,018,603,638,134,368,530,563,859,471,828,432,349,
345,224,509,962,379,652,259,907,681,945,042,778,820,313,807,833,058,008,674,
372,809,489,535,621,931,170,476,697,613,600,671,784,047,432,457,639,353,413,
723,410,040,180,049,763,111,183,965,578,039,323,659,441,020,740,445,166,149,
655,523,423,803,925,808,415,937,598,398,648,179,032,174,706,130,962,457,917,
645,775,500,657,112,944,783,356,463,680,337,178,109,681,104,302,109,243,863,
157,991,862,989,624,801,431,665,728,688,923,325,277,681,004,847,064,475,028,
087,830,717,120,043,522,635,308,020,115,292,450,333,884,315,281,656,071,050,
855,612,608,893,902,931,611,100,059,826,129,644,858,042,757,028,550,315,264,
951,499,262,542,746,508,823,947,515,317,470,708,603,560,540,561,287,127,570,
064,118,822,744,319,669,242,010,174,997,271,663,299,942,001,933,604,661,279,
393,156,998,828,728,950,406,766,655,854,032,579,500,341,174,199,982,070,496,
487,661,147,217,944,107,005,694,745,422,623,809,858,577,593,719,546,060,079,
500,931,729,224,020,823,872,232,718,348,580,736,512,788,563,612,064,603,948,
796,352,180,039,207,724,067,212,858,856,848,390,575,586,039,718,956,392,787,
177,100,870,458,454,753,832,398,303,681,569,404,412,079,252,543,563,474,014,
148,559,354,563,658,939,331,951,527,339,392,567,934,131,229,477,216,727,371,
426,697,500,118,662,833,519,099,104,747,950,680,947,130,743,053,854,818,243,
226,327,244,920,877,926,617,392,788,357,690,741,470,569,445,629,669,798,973,
407,258,038,769,157,848,783,440,642,313,150,566,367,416,658,445,889,182,802,
297,940,551,228,452,165,451,800,387,836,023,748,989,459,898,149,658,867,098,
607,243,659,542,296,249,737,213,522,450,179,937,249,216,844,689,909,241,800,
441,475,346,348,046,854,694,392,246,702,027,491,159,321,028,322,580,522,466,
718,498,806,833,571,445,140,960,220,798,599,761,942,903,406,857,897,486,584,
901,645,217,743,629,604,541,464,917,392,072,164,828,221,098,812,781,542,020,
999,947,904,280,893,932,057,984,977,453,451,213,608,378,011,211,593,997,654,
386,489,131,484,631,533,737,646,348,923,313,680,328,899,791,202,836,343,118,
703,466,715,718,292,310,713,605,922,627,995,584,977,363,298,000,167,780,342,
790,177,238,697,688,318,463,425,410,094,955,937,807,878,179,154,705,395,759,
975,101,094,431,226,577,454,221,881,630,521,519,833,340,803,392,536,594,459,
832,079,763,076,225,491,509,944,492,732,076,313,859,514,692,553,853,948,602,
561,703,918,459,256,751,973,938,010,295,984,030,455,358,483,108,077,132,501,
619,113,124,374,056,614,245,525,236,974,047,867,179,334,574,008,570,447,100,
467,549,434,955,572,857,723,127,816,747,270,731,116,997,610,844,101,720,625,
555,746,564,154,176,663,957,700,802,706,291,408,430,476,609,987,638,268,141,
461,723,809,209,659,482,388,744,166,756,576,983,882,255,998,174,951,217,311,
405,982,398,685,332,974,977,874,427,297,778,297,684,284,654,189,052,680,223,
316,714,050,054,208,506,504,047,089,015,795,378,968,560,366,964,507,206,400,
827,625,401,559,765,381,747,898,649,533,027,173,650,593,213,031,855,441,128,
411,806,244,070,385,452,891,681,229,331,905,615,120,254,912,232,703,533,046,
975,608,433,769,356,448,408,529,884,823,060,549,283,450,876,322,224,414,553,
966,106,865,257,054,932,400,248,012,568,202,689,615,189,572,118,264,269,228,
136,943,449,998,807,196,277,543,797,915,822,443,229,941,288,494,415,291,995,
498,063,757,626,687,062,478,580,487,170,450,391,358,490,920,354,750,221,104,
529,049,163,479,341,784,566,623,781,007,224,293,503,541,826,374,553,333,892,
842,311,363,659,340,554,186,196,956,568,192,313,411,947,393,706,868,776,244,
588,534,940,662,653,185,873,823,562,918,972,433,281,064,321,694,126,818,573,
790,534,772,322,665,221,183,670,716,275,254,741,642,247,000,865,600,205,979,
700,006,676,829,543,091,029,820,682,560,567,855,041,854,979,792,885,233,431,
012,633,576,050,726,732,031,650,299,442,220,391,050,460,248,216,151,042,392,
222,037,736,388,627,544,526,397,558,304,402,173,460,364,349,617,781,967,219,
741,839,888,574,550,980,414,824,651,129,993,351,511,155,581,348,286,327,871,
697,049,008,233,699,382,604,253,700,042,015,189,675,167,176,418,752,730,745,
475,749,118,436,267,074,849,541,030,073,428,026,466,158,486,435,147,634,580,
798,774,475,666,584,717,637,283,132,335,856,667,191,890,319,409,244,433,543,
848,850,361,949,221,025,390,416,903,000,606,945,803,734,375,581,050,147,229,
533,348,348,247,018,827,537,489,368,902,559,951,973,545,089,725,348,307,091,
894,213,399,743,804,744,665,841,882,277,729,964,583,130,512,670,844,382,022,
270,032,696,926,877,570,890,204,979,513,211,413,795,256,880,522,099,133,252,
613,014,085,840,441,598,870,126,498,497,190,548,061,282,767,812,237,095,020,
355,271,942,756,554,729,036,980,702,356,077,321,773,791,092,128,223,818,645,
526,237,202,747,792,438,772,269,482,040,923,794,585,497,826,336,292,237,730,
413,187,597,217,653,991,273,674,215,613,587,627,393,396,054,720,739,541,895,
246,286,174,963,251,985,728,575,740,313,964,013,600,441,233,577,445,652,206,
245,038,765,489,156,992,682,940,024,403,202,549,418,467,301,832,820,501,817,
885,258,653,934,668,917,813,694,149,655,765,343,312,898,422,175,058,918,411,
569,232,495,613,513,625,581,294,991,136,395,727,375,983,983,558,284,172,383,
386,060,609,221,631,972,582,488,301,092,839,922,337,731,911,103,889,318,431,
859,275,306,166,154,159,822,208,524,340,412,971,314,655,941,655,449,568,474,
941,907,169,003,617,349,153,092,468,968,285,122,069,037,931,365,553,880,188,
429,763,261,426,838,706,236,136,952,285,045,376,254,438,781,903,177,241,992,
845,947,743,311,987,169,754,280,587,449,352,609,248,855,139,335,819,793,317,
748,010,804,217,221,224,812,604,403,067,349,174,757,515,938,468,805,656,902,
751,359,396,647,071,973,027,330,038,658,274,863,306,157,929,115,823,012,107,
668,251,709,328,335,753,061,027,127,672,261,195,312,783,855,150,794,350,820,
775,483,113,054,564,665,652,417,534,555,432,656,892,996,110,803,117,735,890,
492,152,246,152,558,935,643,421,067,566,356,536,688,323,536,072,444,145,609,
394,640,192,397,235,757,530,173,637,013,632,362,242,199,320,569,466,934,488,
670,184,180,232,053,002,056,480,903,412,838,868,279,141,940,540,359,187,414,
788,958,168,275,515,672,657,391,844,504,597,732,748,436,045,617,501,937,425,
851,686,419,202,343,664,867,350,489,432,440,102,283,491,494,974,585,973,509,
463,144,720,771,687,877,323,559,763,125,562,887,739,836,924,256,434,694,339,
100,224,199,096,415,057,646,628,262,813,056,796,634,805,399,360,789,205,119,
015,897,927,428,706,057,193,248,676,692,404,571,721,180,075,261,916,925,648,
346,207,279,113,008,483,205,446,452,529,259,098,920,314,399,815,441,094,266,
530,905,221,586,680,556,717,478,257,794,723,252,837,596,550,639,283,985,926,
401,549,623,175,213,722,467,710,001,679,892,576,954,880,053,326,286,424,469,
973,268,732,463,441,618,325,702,874,900,435,751,265,790,694,506,032,585,649,
317,718,304,397,441,057,582,414,547,314,300,975,151,660,248,820,569,859,001,
918,658,700,049,989,832,648,549,679,656,507,943,068,685,062,023,875,865,075,
634,159,600,258,075,964,918,435,990,890,741,844,851,315,949,944,871,835,135,
058,173,493,278,815,749,588,882,467,367,240,943,005,434,380,878,252,914,873,
146,352,921,825,469,284,273,357,657,826,908,441,297,117,499,800,736,775,923,
746,961,341,441,340,131,326,557,597,609,504,760,699,997,101,310,154,437,406,
764,404,573,693,341,863,483,951,855,108,914,981,243,742,428,816,210,827,515,
973,262,664,401,699,852,146,881,930,623,255,804,445,408,041,716,037,706,121,
792,432,533,777,807,508,737,383,390,937,894,501,391,931,249,285,518,449,896,
316,903,967,648,622,368,245,763,385,545,152,729,474,968,234,490,517,513,604,
145,478,133,860,782,848,482,145,176,541,511,843,725,630,886,099,671,301,294,
896,001,711,030,732,506,886,557,349,743,138,539,527,484,541,489,064,866,834,
818,730,384,626,526,435,164,636,643,303,403,121,382,586,162,475,333,529,260,
657,007,944,242,012,204,294,300,334,068,624,727,326,639,337,720,263,622,694,
596,779,060,244,631,478,030,446,045,689,287,683,804,225,226,754,160,253,975,
115,394,497,797,196,530,970,797,097,253,961,442,721,420,949,111,466,060,919,
527,725,342,314,828,213,046,770,619,473,740,547,255,527,189,439,192,079,980,
489,455,492,017,403,475,252,545,462,418,172,916,484,057,302,346,530,687,328,
621,068,769,775,516,199,161,978,704,755,155,523,405,849,355,260,851,659,734,
904,661,566,478,753,777,331,136,621,360,637,917,534,847,324,322,601,970,177,
159,859,636,189,533,016,255,177,195,156,632,259,905,037,554,115,121,656,688,
352,909,942,090,354,936,958,369,514,440,840,238,710,807,510,706,835,094,614,
151,234,195,599,138,716,328,361,191,430,128,637,084,713,571,215,593,963,652,
023,979,401,064,823,314,059,685,020,349,397,256,195,064,853,557,626,847,428,
292,929,162,947,531,408,811,156,953,965,783,186,115,255,598,337,474,724,077,
118,779,449,336,431,785,396,712,084,958,521,895,561,914,761,211,071,508,267,
049,014,184,850,482,621,368,608,209,637,222,217,488,604,920,270,204,106,472,
943,749,814,662,455,424,419,773,353,736,905,109,172,250,728,890,005,879,890,
617,351,271,171,920,139,045,848,347,419,973,639,519,486,188,664,310,392,291,
727,366,764,210,744,493,629,447,124,211,778,562,798,378,235,858,169,992,456,
889,290,463,340,507,280,244,345,560,619,479,126,367,037,063,073,759,001,209,
376,360,715,868,005,702,155,474,472,645,485,118,122,356,691,354,398,097,506,
936,214,369,887,207,972,293,588,128,453,179,039,630,081,086,487,354,785,476,
201,761,950,521,716,488,384,849,524,600,179,252,322,111,366,113,846,496,442,
028,610,233,210,497,420,709,362,940,786,716,942,832,841,374,931,707,507,219,
213,658,766,281,630,412,668,565,811,660,058,492,725,341,631,920,086,713,287,
138,900,367,233,883,551,187,404,088,158,614,858,829,200,296,273,274,976,323,
419,288,313,479,514,692,306,645,521,681,665,844,890,119,699,289,599,044,383,
752,761,815,548,184,101,107,079,494,409,482,168,596,467,863,271,560,865,247,
415,854,216,402,392,798,603,314,371,175,613,329,471,680,990,103,126,664,798,
661,301,809,802,794,622,162,861,291,198,626,075,983,733,485,124,332,854,696,
665,665,931,891,384,677,574,058,649,763,593,920,346,613,197,890,539,289,931,
101,906,962,726,721,116,872,135,932,366,493,762,111,383,067,317,116,221,336,
919,897,049,021,524,831,767,767,475,271,713,694,316,713,110,625,157,279,699,
391,413,233,754,333,350,669,138,345,275,338,910,497,010,087,940,415,900,053,
167,319,580,833,837,113,327,934,530,811,839,837,950,228,270,957,272,196,714,
537,829,612,164,265,939,606,797,721,411,429,614,106,165,920,536,929,828,677,
093,215,586,588,756,727,461,271,246,042,844,802,340,222,143,922,778,643,905,
614,377,189,284,369,294,616,836,451,385,547,802,095,561,811,811,308,715,796,
844,726,891,624,856,378,417,586,078,598,704,419,301,704,967,759,820,877,930,
097,403,549,599,964,867,907,584,044,028,971,317,436,049,471,266,177,108,474,
807,632,449,281,962,639,634,796,667,846,680,618,976,901,809,592,710,944,253,
451,942,641,141,654,336,721,733,353,687,867,058,758,964,800,083,368,170,225,
743,803,703,282,760,452,578,373,388,559,290,256,051,386,054,402,285,267,939,
381,842,234,133,544,524,746,810,866,564,063,112,893,971,148,139,653,311,497,
144,292,281,943,646,514,776,002,492,971,131,872,193,890,763,694,884,776,686,
283,812,626,071,046,296,547,667,667,317,706,303,874,195,462,324,430,294,101,
822,367,507,283,833,545,171,850,818,726,110,483,409,426,612,627,846,434,117,
780,759,981,771,935,967,015,056,666,289,342,718,153,479,931,656,345,176,982,
787,693,563,833,303,214,748,885,005,646,061,022,698,489,179,795,339,666,172,
896,080,972,652,427,891,294,540,845,139,902,056,706,155,671,381,600,821,152,
564,565,495,085,599,534,988,732,575,273,974,968,414,760,555,431,349,004,944,
850,065,986,922,503,961,957,550,861,058,438,781,150,375,856,643,231,784,803,
033,554,986,350,919,838,854,660,170,108,538,086,991,879,803,174,665,899,474,
306,053,132,328,832,790,080,009,045,576,290,888,716,900,951,955,521,713,246,
934,972,227,310,208,411,382,634,303,070,116,330,402,339,301,086,996,144,485,
617,774,534,983,024,289,622,184,480,567,785,227,404,839,385,060,030,307,477,
705,421,088,453,187,032,912,594,816,939,177,658,159,950,968,949,732,454,145,
111,573,681,665,160,675,440,658,021,615,996,589,657,721,432,791,796,425,354,
540,163,323,478,420,412,158,815,171,238,955,397,437,576,333,913,509,921,541,
746,454,555,241,735,388,458,260,024,088,537,498,103,598,315,942,399,109,563,
434,355,593,803,994,979,848,366,034,355,557,908,911,051,866,372,195,748,776,
517,842,690,598,983,878,056,287,764,378,478,288,032,130,920,435,449,280,426,
306,895,645,307,784,332,720,466,553,207,893,259,066,560,734,385,224,423,441,
438,183,602,014,528,097,093,543,113,719,154,497,148,669,438,456,633,978,831,
172,259,576,297,701,776,394,473,010,940,300,175,326,038,619,835,177,152,605,
863,602,215,446,503,803,357,461,765,409,761,267,869,401,027,677,845,058,840,
464,482,519,196,267,032,707,529,939,406,348,565,032,236,957,624,946,012,743,
157,208,948,052,778,255,764,350,146,582,880,490,173,986,427,426,273,665,094,
581,910,704,040,944,211,837,909,087,560,222,430,794,159,402,616,802,638,903,
690,039,776,496,164,175,152,409,776,637,723,408,957,983,471,240,312,082,142,
486,151,962,250,602,257,610,592,136,873,965,012,560,638,153,116,526,808,964,
988,291,050,585,421,771,815,603,925,230,886,557,542,138,945,357,201,045,089,
504,695,659,084,379,561,584,951,364,416,189,267,495,338,284,158,706,165,815,
672,579,299,625,651,877,203,125,216,246,429,802,456,456,081,890,002,181,059,
824,947,906,722,441,079,330,797,579,532,610,243,526,342,168,832,014,454,377,
009,074,903,669,547,855,137,703,730,610,350,626,200,261,221,005,335,928,361,
907,891,326,225,650,893,416,970,459,000,940,261,755,422,281,062,062,221,184,
473,848,747,168,221,895,456,365,053,833,596,378,659,961,302,124,910,714,245,
569,381,547,845,226,244,943,853,894,721,437,814,270,077,388,549,800,870,590,
726,210,625,661,580,505,546,939,280,555,335,625,545,536,881,895,377,370,182,
156,043,858,870,399,676,008,616,845,945,937,215,464,877,555,238,062,209,435,
751,121,633,538,636,513,995,105,848,569,070,475,265,531,420,839,241,333,151,
503,921,904,614,779,307,583,718,617,835,428,781,740,117,571,818,959,299,899,
031,767,296,938,336,092,571,907,207,001,264,109,874,623,997,416,471,104,856,
783,445,238,287,289,810,188,344,060,411,117,307,510,831,752,652,510,065,055,
755,501,895,721,570,751,808,768,707,777,969,336,345,872,110,379,489,484,875,
839,553,900,857,560,179,733,355,881,252,130,075,335,356,051,766,165,105,176,
981,773,334,509,600,696,767,060,177,079,373,264,889,567,191,661,005,704,835,
438,121,908,687,095,416,228,530,977,728,294,788,692,935,547,230,521,268,278,
273,604,368,573,685,817,041,492,864,367,492,786,650,287,138,552,023,482,312,
715,069,566,528,664,816,368,955,720,198,624,261,852,199,617,318,693,640,997,
795,561,143,990,780,728,606,743,250,711,170,255,393,418,651,901,870,998,450,
054,747,993,042,971,633,986,962,003,741,702,700,248,512,920,318,941,622,789,
311,893,474,200,176,225,501,003,724,460,594,442,607,481,712,838,704,894,139,
177,125,730,799,475,507,140,964,347,716,104,730,696,990,414,775,502,766,869,
006,591,611,112,777,314,391,288,645,651,811,963,978,958,126,688,010,655,102,
515,814,985,909,315,967,258,307,696,512,912,046,946,681,070,077,410,030,380,
850,359,438,749,192,632,342,400,082,483,225,557,757,830,039,113,386,543,188,
400,771,735,157,014,237,551,324,775,907,018,784,972,686,525,934,845,481,407,
573,239,648,822,096,741,527,196,590,352,181,795,818,245,674,399,237,931,282,
514,024,882,607,608,336,618,379,013,196,405,693,206,322,115,236,581,885,498,
413,208,680,729,272,063,579,066,051,179,443,853,513,597,990,505,963,497,991,
077,497,331,998,704,683,638,136,458,137,608,205,191,933,589,249,716,799,590,
882,809,073,776,274,094,801,112,936,765,831,579,466,770,834,816,577,880,432,
507,687,731,596,288,888,196,890,790,505,072,062,913,904,993,298,498,367,454,
487,775,593,314,679,252,406,184,064,496,330,252,541,813,772,041,905,565,469,
177,979,456,504,650,244,995,235,437,999,635,357,874,644,977,882,596,732,170,
791,591,499,256,035,317,450,769,897,637,061,155,678,909,608,018,949,058,484,
786,956,524,190,040,318,671,985,851,731,497,392,388,648,976,811,462,523,504,
889,284,792,085,603,696,425,105,858,587,956,694,286,931,807,292,242,827,867,
545,038,858,023,166,038,455,561,348,897,505,307,561,295,203,103,527,929,012,
067,207,084,301,867,624,670,044,820,851,442,240,461,385,068,869,310,621,060,
675,930,661,149,466,065,987,829,270,641,756,705,163,491,700,250,560,733,405,
436,479,849,319,699,361,037,887,882,670,652,791,092,838,205,213,700,742,607,
570,453,900,378,445,319,307,192,375,670,476,089,821,956,007,082,072,854,352,
987,665,797,640,829,503,166,882,040,992,115,871,617,965,192,686,118,725,680,
881,604,660,513,473,103,774,470,493,759,124,493,916,921,516,628,007,247,245,
721,260,832,411,426,570,125,524,501,137,519,762,527,886,944,123,471,786,049,
443,309,960,475,788,545,205,232,086,443,697,786,408,707,337,276,996,063,395,
817,549,187,144,590,962,012,833,471,142,154,069,873,585,766,861,958,421,290,
770,059,445,512,166,717,068,610,505,176,467,808,891,486,803,573,984,540,393,
366,387,917,312,926,568,975,078,911,771,089,956,214,620,824,634,194,967,582,
161,259,238,238,692,681,278,859,127,805,758,033,513,975,473,836,440,543,722,
284,907,931,833,992,084,589,201,006,941,947,214,647,821,484,790,220,475,414,
237,252,692,275,863,289,497,100,407,205,350,464,412,576,438,044,827,202,966,
639,123,603,919,688,523,818,739,536,357,260,890,705,163,006,975,016,793,978,
153,870,096,441,889,506,667,315,708,103,719,450,675,901,910,494,856,424,804,
179,270,004,491,472,219,126,567,613,251,499,185,154,910,687,821,640,377,063,
674,709,152,873,568,610,928,101,186,971,561,697,722,519,102,236,280,910,385,
103,552,004,342,028,639,370,842,303,690,101,366,161,558,392,043,481,031,254,
232,451,273,019,821,257,782,426,685,686,183,693,777,079,299,828,644,617,346,
520,063,056,272,050,424,044,983,279,718,612,076,281,103,188,541,710,307,479,
253,533,770,199,973,266,843,443,272,271,743,410,360,215,971,117,580,489,093,
124,892,429,021,787,870,907,521,689,222,085,292,470,753,892,914,541,072,988,
789,098,470,471,386,745,920,656,860,716,007,483,801,255,404,371,387,877,771,
003,037,244,861,370,833,893,213,691,524,882,625,089,869,983,756,564,494,816,
990,707,354,245,356,446,424,497,704,688,665,540,032,426,697,681,583,929,525,
652,600,850,832,300,021,667,496,618,177,560,320,425,485,126,179,018,321,451,
851,849,091,349,275,235,990,547,593,685,295,484,256,677,201,378,310,697,707,
635,308,681,012,796,151,324,845,761,138,375,795,426,828,757,788,790,610,544,
542,672,392,950,430,123,251,748,567,099,808,788,660,381,435,474,872,892,674,
494,980,816,127,598,765,267,734,042,906,598,010,708,731,871,313,432,068,547,
856,580,107,069,306,848,765,814,175,614,058,488,719,334,598,800,059,479,310,
125,773,961,372,594,115,258,040,914,857,737,253,456,541,534,621,929,913,514,
751,931,663,597,433,800,820,864,451,725,571,963,879,897,118,376,900,565,800,
509,075,884,381,378,983,594,330,713,080,828,186,917,825,755,890,082,278,670,
116,755,307,098,239,810,245,819,542,187,542,151,133,383,747,969,897,440,111,
866,307,571,342,525,064,760,840,321,370,903,237,085,325,248,326,130,334,157,
580,540,382,810,808,385,781,766,677,263,191,292,000,039,590,032,759,087,840,
407,292,155,706,177,567,550,035,559,105,446,916,915,779,301,922,405,728,672,
433,159,978,933,766,655,059,024,204,316,185,976,888,120,436,621,942,175,092,
851,160,081,617,532,378,973,486,775,583,689,688,647,734,275,447,599,050,786,
756,790,119,246,385,509,842,023,143,484,081,257,856,003,752,558,632,229,645,
699,715,315,808,261,316,942,607,010,187,964,694,288,257,530,890,093,935,795,
276,601,314,934,385,876,046,398,708,568,252,462,426,752,574,549,481,144,287,
450,946,555,967,797,517,478,475,560,592,708,961,123,818,832,038,398,578,334,
255,045,950,069,459,969,967,503,669,960,597,356,481,736,400,018,381,445,030,
178,465,512,565,055,671,582,013,014,042,652,368,628,405,224,717,150,898,624,
446,029,206,854,920,024,135,966,042,559,884,418,594,343,472,069,658,234,666,
364,042,332,315,774,460,921,627,604,789,598,183,095,936,420,456,729,405,423,
419,135,653,918,264,711,549,452,048,480,352,903,574,829,255,835,739,058,806,
520,822,963,388,934,263,964,437,240,534,608,916,077,074,826,117,692,763,644,
322,878,964,007,111,420,103,874,074,455,610,796,611,015,111,681,632,944,440,
748,769,883,764,534,707,382,966,385,649,857,847,611,204,665,053,198,244,534,
577,260,093,247,906,672,894,825,037,344,579,307,424,419,568,875,573,224,805,
579,320,999,523,561,078,014,439,363,878,323,597,357,702,571,275,296,411,574,
546,196,763,138,301,628,182,116,150,653,575,758,107,827,421,740,848,566,739,
314,989,397,574,478,659,456,082,744,073,231,597,305,114,577,074,658,552,783,
246,361,876,547,031,149,419,120,895,333,117,429,519,979,410,768,620,539,491,
946,576,728,105,118,354,618,262,054,593,489,374,006,954,194,384,184,296,857,
289,774,128,147,117,822,926,609,326,881,094,075,157,928,548,237,962,113,922,
875,403,871,414,516,891,925,061,631,616,557,857,689,098,135,339,950,803,307,
445,555,836,647,517,253,512,849,704,371,569,630,199,466,139,826,169,723,788,
801,053,724,898,145,831,706,882,729,982,485,452,194,430,418,590,661,135,558,
890,310,419,342,729,614,208,922,647,192,139,925,996,190,323,811,071,381,277,
591,286,307,228,224,072,106,161,908,299,057,361,443,905,628,062,561,178,096,
381,543,662,459,179,601,345,297,817,894,341,694,402,131,031,378,740,506,579,
301,660,809,954,772,522,275,381,083,320,908,781,766,623,630,011,376,124,388,
529,398,405,064,040,252,863,735,739,632,811,829,638,832,673,199,872,098,988,
403,447,894,237,921,406,581,060,350,741,243,750,147,763,593,988,286,857,846,
085,244,771,603,592,526,973,425,235,834,657,457,735,630,534,236,073,703,491,
436,052,906,887,692,812,260,577,499,728,859,080,146,050,683,396,367,891,951,
506,226,307,492,870,292,367,675,315,312,179,525,862,220,520,635,144,095,778,
836,227,614,003,627,625,263,250,718,653,392,966,660,449,100,264,915,206,833,
655,161,347,564,507,615,237,626,773,528,503,693,415,136,332,240,851,311,822,
230,140,807,286,882,369,889,129,178,081,479,629,178,965,491,942,857,902,096,
228,144,127,013,361,297,935,624,071,930,945,049,918,308,072,293,721,335,405,
677,808,814,852,456,860,017,740,215,720,394,810,337,861,049,401,993,089,285,
167,128,580,669,393,707,974,824,740,470,945,228,797,559,234,210,527,353,460,
561,910,708,478,871,286,235,889,955,972,381,347,121,738,730,703,463,196,329,
684,678,521,093,570,864,146,407,372,816,475,578,089,357,568,357,640,567,773,
941,023,136,320,700,136,787,359,121,868,316,447,968,761,915,423,447,323,182,
612,865,601,912,214,325,823,845,010,142,257,147,381,609,063,796,088,325,953,
300,978,723,312,695,305,204,286,204,490,884,454,698,797,058,238,913,099,303,
772,269,866,036,060,804,658,582,291,414,889,524,819,001,816,636,250,715,333,
006,293,188,892,854,669,193,445,195,708,673,552,587,067,657,645,989,848,209,
634,474,850,170,773,564,570,398,882,984,529,135,898,881,288,369,092,078,740,
191,152,348,981,163,590,889,925,934,374,831,037,653,673,071,394,524,389,081,
266,799,808,499,597,533,767,207,979,984,410,760,568,085,389,209,120,378,120,
955,144,591,089,807,508,845,684,516,877,804,600,023,051,062,319,860,960,920,
584,066,858,820,298,493,512,821,523,107,690,837,971,346,308,912,577,033,221,
079,871,629,562,860,379,018,833,368,092,029,706,793,102,879,186,556,584,498,
868,890,705,847,596,978,605,828,051,175,376,153,116,983,855,049,021,611,300,
478,381,071,775,075,251,772,101,851,546,158,683,903,232,492,693,737,901,787,
723,122,090,255,424,659,161,886,673,265,382,172,483,099,732,999,864,959,403,
186,213,407,193,197,949,482,884,224,844,932,972,463,140,378,880,557,287,459,
581,935,398,069,769,141,382,022,051,558,618,641,723,289,979,254,640,527,838,
131,154,875,665,633,822,984,918,981,191,424,385,132,143,204,648,513,387,891,
168,301,232,557,341,513,776,692,363,675,822,918,499,857,396,133,700,533,780,
170,277,058,329,607,723,131,651,863,789,472,839,734,566,748,771,286,654,940,
317,939,429,253,312,665,268,704,466,882,727,207,321,697,457,799,580,570,536,
690,763,521,737,147,227,410,280,814,875,782,371,043,127,065,047,063,672,023,
064,813,325,900,216,594,294,086,379,134,803,309,713,626,727,507,649,951,083,
460,083,753,603,168,003,307,158,446,643,236,806,107,258,886,461,586,747,841,
812,974,380,785,111,373,374,136,684,039,594,476,697,560,634,511,972,311,467,
456,794,482,516,171,726,257,309,858,891,215,497,322,591,360,522,787,240,308,
163,879,688,103,300,577,639,265,560,880,154,827,355,207,384,613,114,836,019,
319,361,770,441,702,252,500,800,239,243,847,282,493,511,272,071,025,745,812,
604,209,479,079,581,286,300,969,032,244,298,988,936,495,647,285,868,732,652,
292,703,677,437,822,846,584,306,679,158,647,319,958,105,181,911,116,615,216,
126,295,480,064,194,847,917,049,540,376,494,794,088,097,240,432,988,867,760,
298,956,540,405,777,078,440,261,072,512,819,022,985,545,429,492,625,506,910,
806,986,555,660,990,623,266,962,522,591,284,716,877,444,171,774,034,856,214,
694,812,373,907,323,719,724,605,133,538,295,780,951,016,747,428,608,944,180,
091,157,785,854,575,850,104,592,338,759,004,102,225,355,295,542,050,745,833,
637,821,813,666,073,705,317,082,833,863,688,967,502,377,245,320,089,102,954,
405,770,005,703,802,598,341,332,893,398,742,422,656,529,656,605,239,771,943,
174,961,100,733,487,542,059,925,433,433,822,867,755,452,241,900,188,426,603,
730,791,911,570,969,752,437,840,989,130,280,538,341,395,413,967,565,964,476,
659,061,738,030,241,478,720,261,809,572,049,598,857,164,670,010,627,832,386,
824,829,420,621,813,843,367,815,002,936,749,816,484,513,607,046,943,766,198,
854,897,704,856,277,633,815,380,102,942,978,869,362,010,137,573,994,346,162,
544,909,278,717,361,022,352,737,963,462,117,049,610,434,242,192,137,390,886,
186,877,556,975,383,469,931,112,384,294,772,300,612,802,023,145,058,856,428,
121,817,153,485,968,652,344,605,151,799,907,843,930,389,419,998,496,448,857,
443,753,219,242,655,647,426,419,782,660,377,303,222,611,865,760,360,997,030,
697,003,459,232,441,649,372,318,651,432,144,380,010,407,352,891,010,372,711,
681,184,842,432,348,718,589,342,360,419,008,415,376,796,263,148,613,535,776,
475,112,365,755,989,147,504,049,004,995,871,003,117,239,239,202,486,977,904,
031,282,020,027,732,511,569,884,815,969,340,405,925,245,280,993,217,014,834,
214,818,027,910,345,790,440,151,679,034,585,359,744,826,240,274,999,942,540,
469,129,733,274,481,812,055,097,444,268,582,932,494,096,114,475,258,780,674,
966,521,457,106,077,609,524,718,046,849,028,107,753,248,843,253,639,100,171,
715,624,137,345,091,953,514,298,587,442,492,008,357,354,182,836,755,727,847,
458,690,203,652,443,179,338,528,795,524,235,080,073,639,076,048,962,373,689,
460,445,272,845,821,055,308,235,102,491,701,907,810,681,331,408,618,571,568,
247,568,861,623,944,299,894,424,757,315,890,573,758,765,269,261,252,403,171,
359,702,933,862,629,333,773,180,734,024,170,940,930,178,875,241,927,679,522,
616,229,309,923,006,057,535,219,953,452,725,041,804,767,348,966,646,263,504,
513,426,739,208,188,523,704,158,838,759,835,600,738,300,651,736,406,921,806,
016,993,474,070,067,765,265,779,838,320,154,478,929,729,286,109,963,016,431,
946,709,565,064,803,012,259,883,527,070,926,217,033,908,283,771,858,465,705,
379,719,416,225,330,662,173,248,176,750,156,828,370,042,662,601,998,595,100,
739,909,851,073,627,985,772,477,848,981,877,198,322,624,230,357,305,092,675,
031,556,544,964,576,667,040,936,643,650,633,938,849,708,910,463,071,405,189,
502,201,056,551,124,467,043,410,908,069,133,146,230,396,211,804,320,578,719,
674,889,187,124,144,984,334,071,633,573,193,214,428,815,118,330,321,508,833,
517,086,167,508,342,408,793,535,786,893,975,192,618,006,192,446,098,634,076,
076,015,061,702,823,770,652,133,953,701,071,495,701,275,371,871,325,653,922,
734,652,171,658,236,867,861,924,837,936,668,000,815,523,621,209,070,875,363,
887,904,035,756,368,308,896,914,541,567,301,321,333,182,443,617,041,244,372,
264,154,916,012,457,179,008,428,163,942,497,169,115,621,663,040,673,670,920,
649,373,750,761,595,172,687,705,432,276,568,806,609,341,629,437,840,957,884,
050,189,814,094,688,548,982,195,931,202,794,483,788,760,990,134,170,548,319,
441,834,861,957,073,005,643,227,484,055,335,368,465,122,943,399,609,818,021,
526,611,019,555,295,944,475,822,953,181,568,494,217,368,256,619,950,604,182,
077,833,712,766,497,503,426,890,459,589,173,442,577,181,313,372,270,885,846,
942,493,482,104,618,919,178,534,409,237,569,284,174,287,094,150,016,089,637,
112,998,340,868,640,010,460,837,280,960,625,156,517,744,878,508,153,889,817,
090,256,391,677,639,003,865,821,554,961,058,933,962,119,788,768,023,841,228,
148,535,101,694,301,989,019,823,452,514,699,036,640,322,483,766,698,082,124,
663,174,326,889,137,344,095,083,016,749,415,086,284,710,976,735,250,290,454,
852,474,542,483,930,505,121,000,447,996,204,841,356,296,419,961,098,577,050,
798,147,834,983,418,136,368,148,731,686,533,177,093,575,788,547,640,938,016,
319,435,556,859,491,744,375,515,498,426,990,999,959,705,423,431,727,424,582,
105,338,657,179,628,464,478,258,037,964,328,440,649,947,729,870,490,095,042,
165,816,296,411,605,262,058,716,330,220,345,923,578,541,374,430,440,518,933,
624,502,450,298,526,064,912,324,687,022,509,524,745,384,716,868,488,227,054,
798,186,997,293,070,788,662,635,784,295,703,250,038,981,160,406,988,550,150,
054,187,519,597,931,575,113,059,876,292,779,631,126,996,283,114,007,799,662,
142,215,202,399,085,866,181,277,201,074,547,456,340,849,504,210,263,831,709,
722,107,037,531,864,914,781,096,121,904,917,876,224,296,862,741,514,311,879,
414,139,372,504,207,091,972,650,546,101,960,027,786,349,712,039,055,256,884,
256,711,377,794,148,320,757,221,088,372,797,816,047,699,453,278,431,487,157,
213,971,062,539,479,791,418,158,108,982,293,737,445,836,383,340,318,621,640,
790,432,569,746,413,127,022,695,746,917,695,299,697,506,172,501,563,617,776,
446,944,988,672,721,110,118,245,767,497,862,954,989,384,658,932,594,196,265,
378,454,013,714,194,797,316,178,794,225,898,473,551,737,307,024,093,756,174,
782,599,770,055,749,134,551,458,979,365,727,173,340,370,888,775,967,437,660,
608,650,024,141,918,185,691,097,762,832,331,750,773,565,220,605,902,257,348,
210,898,182,793,490,338,211,275,725,412,371,431,587,879,673,087,784,241,390,
217,534,487,037,642,023,434,389,557,488,181,038,791,595,528,132,271,574,870,
218,478,445,253,328,923,938,827,226,969,382,882,888,806,626,232,361,140,625,
265,043,830,731,573,666,867,808,793,900,707,285,076,113,275,196,990,767,316,
970,287,760,095,677,876,766,620,956,853,077,080,387,037,297,413,384,653,044,
140,624,619,012,918,839,611,619,690,940,602,152,715,074,517,102,611,438,571,
267,054,664,502,398,821,494,440,033,519,969,812,211,008,639,417,924,147,076,
611,279,338,311,274,493,173,141,741,227,675,022,097,730,555,575,658,391,685,
518,122,255,130,740,848,522,665,914,702,136,086,695,369,994,382,012,359,551,
590,868,816,325,327,981,295,625,251,045,863,541,775,791,000,267,840,075,239,
534,064,804,192,779,699,326,615,615,662,923,488,830,059,323,808,001,081,768,
453,606,738,525,261,746,884,011,818,179,146,462,160,422,250,055,012,167,372,
135,656,972,739,738,125,784,774,307,988,163,926,277,451,651,887,903,602,668,
413,322,404,168,218,563,761,258,975,362,205,296,205,914,429,728,645,387,235,
788,143,031,824,529,231,529,909,899,626,452,954,402,868,719,780,151,681,634,
397,244,513,445,036,434,518,091,268,834,984,061,228,559,941,364,943,096,998,
952,667,068,935,971,161,405,359,473,306,338,068,999,156,536,836,483,108,219,
774,393,910,343,134,750,938,379,583,136,148,777,002,743,383,244,200,713,864,
819,836,603,094,867,906,762,891,587,736,380,298,213,811,203,603,628,619,851,
650,119,895,463,823,565,965,282,140,449,321,438,235,047,300,813,940,149,459,
454,233,950,195,714,852,857,237,188,169,621,667,228,160,589,879,097,330,972,
570,006,687,403,778,907,501,558,703,170,935,658,616,359,428,786,570,014,217,
977,693,333,719,098,556,816,818,231,781,760,141,667,061,643,894,878,910,143,
304,179,585,974,741,336,013,673,984,164,744,982,344,158,775,717,575,085,994,
147,171,856,110,097,577,863,232,574,259,318,971,067,797,369,410,417,709,552,
837,016,620,141,310,038,397,099,949,774,565,343,517,120,853,811,606,633,121,
245,480,544,759,924,652,278,668,415,499,036,144,321,908,348,238,676,464,113,
625,476,430,896,103,521,028,365,519,977,258,854,958,286,273,888,678,724,023,
705,454,050,319,725,910,718,425,882,525,941,137,883,967,345,473,225,274,457,
409,344,005,284,000,527,499,872,679,547,797,412,761,662,621,594,536,065,234,
779,350,293,290,530,820,855,310,515,297,200,254,892,139,679,616,082,028,197,
572,828,102,260,575,912,038,788,002,762,774,839,602,045,084,728,161,501,116,
714,325,990,702,519,084,395,521,292,408,730,374,961,337,262,188,243,975,715,
495,306,514,678,545,621,434,972,658,522,753,160,823,926,046,563,847,866,860,
906,527,085,056,733,199,983,703,875,503,202,663,286,580,153,480,704,474,686,
393,306,513,919,282,678,652,221,066,779,380,477,259,567,186,170,544,259,120,
310,242,474,030,847,411,632,710,174,578,342,222,970,814,206,203,448,505,637,
138,552,528,417,634,290,761,801,645,953,957,899,450,593,911,481,202,103,041,
905,308,879,973,106,187,260,263,116,666,967,786,038,380,654,540,546,522,247,
941,652,538,967,404,459,391,557,986,806,845,358,400,978,073,527,220,775,833,
131,608,307,633,657,962,990,061,954,554,798,322,826,792,960,392,114,854,414,
214,670,486,579,007,184,310,002,469,699,292,702,351,385,515,462,340,204,020,
624,690,300,754,461,376,188,505,009,589,099,629,499,449,687,172,401,768,988,
002,371,289,439,844,597,993,606,153,144,478,757,139,166,390,354,625,917,258,
222,512,016,110,834,102,615,268,919,155,136,367,463,854,068,306,535,698,273,
710,062,701,766,813,952,417,814,154,752,443,191,976,019,496,223,036,522,118,
566,466,979,755,088,190,810,467,566,825,836,686,619,550,989,569,805,439,895,
749,613,309,431,490,439,181,651,078,375,394,678,174,968,167,979,121,949,127,
877,200,689,993,568,905,937,812,500,460,114,929,197,761,000,722,421,990,032,
242,539,800,838,277,634,214,897,430,937,370,634,362,800,563,147,919,194,658,
353,751,481,821,468,992,697,718,275,919,090,238,999,296,964,078,464,916,930,
418,644,066,867,982,155,463,812,622,191,738,667,231,488,477,906,033,786,562,
146,902,438,329,831,105,551,493,569,691,749,131,102,615,094,182,786,462,390,
312,338,945,457,042,020,800,005,085,352,350,488,540,223,476,067,478,326,361,
356,304,041,794,480,285,940,403,177,548,392,664,782,583,553,992,098,325,620,
628,291,690,997,975,248,264,245,212,306,460,618,987,207,882,977,083,260,620,
485,788,004,865,003,093,195,556,310,898,188,024,462,398,898,291,461,154,588,
649,731,680,559,088,504,037,100,091,622,127,750,093,433,003,019,549,831,027,
212,105,547,135,476,909,320,668,566,402,865,172,409,435,694,346,509,880,752,
477,920,063,709,325,880,565,619,560,150,721,115,507,530,568,230,567,714,439,
783,704,235,345,548,093,800,630,443,569,989,424,404,351,698,687,651,031,560,
943,829,173,925,208,682,181,979,221,013,502,608,029,718,434,086,998,193,167,
898,473,743,320,917,270,023,235,561,089,013,980,945,712,391,529,800,832,124,
720,023,287,792,559,164,011,382,676,714,998,388,708,487,198,215,320,419,889,
186,217,128,369,802,642,113,179,294,708,091,511,911,606,186,145,704,240,798,
395,178,159,905,377,464,415,654,410,265,196,428,081,739,501,715,865,994,450,
682,633,426,435,341,650,472,575,757,732,853,711,846,106,543,477,182,510,289,
395,634,226,604,168,636,334,927,519,727,180,223,778,363,341,646,694,031,263,
461,510,130,972,121,210,879,599,105,340,268,474,850,782,249,899,912,563,745,
742,647,802,774,323,064,015,085,799,026,525,451,388,911,935,631,683,471,642,
146,326,241,610,232,495,435,421,797,026,233,744,815,198,157,277,213,823,651,
362,041,156,535,233,678,462,344,951,749,600,062,437,938,790,278,014,987,912,
232,311,458,852,632,321,775,204,623,300,208,787,586,573,981,133,279,811,731,
634,127,602,775,267,504,557,791,794,056,376,849,961,786,242,906,434,700,136,
084,215,682,622,488,285,908,911,201,532,715,935,743,229,172,990,943,580,939,
555,442,643,654,542,399,845,715,731,230,877,425,527,667,860,232,247,360,063,
407,028,224,056,172,104,084,685,469,130,052,555,688,081,627,760,087,229,419,
798,429,288,762,497,202,602,748,620,711,624,029,001,641,960,238,435,938,659,
955,793,439,542,231,107,065,086,586,638,756,043,814,698,469,941,820,897,882,
529,623,420,750,579,500,198,436,025,317,008,975,418,824,664,569,627,629,072,
085,900,927,277,240,389,105,187,463,434,672,126,231,910,846,790,629,546,158,
248,453,833,051,982,559,497,337,339,564,487,071,644,545,317,897,075,360,786,
905,197,937,204,097,587,101,274,483,270,802,328,253,520,637,696,339,824,844,
007,305,932,585,176,443,651,015,701,609,649,049,331,266,545,343,892,362,555,
331,358,777,035,677,869,214,437,279,274,375,411,613,007,206,266,067,892,625,
908,847,096,683,984,933,774,119,563,012,739,980,366,843,579,563,265,314,011,
479,579,201,147,933,824,371,013,344,409,499,729,009,716,449,138,393,852,552,
925,991,545,589,584,537,115,039,345,007,250,388,946,562,074,041,314,984,229,
035,288,318,702,391,182,375,823,779,064,570,579,379,642,232,607,384,256,910,
121,418,704,705,953,565,520,042,419,736,033,968,383,888,726,240,693,053,162,
945,017,254,661,987,479,715,345,868,088,807,534,253,583,088,906,347,638,605,
237,926,520,787,276,031,423,503,326,285,195,721,717,742,403,962,026,742,199,
703,273,145,534,105,189,257,395,973,093,545,343,027,602,740,068,765,929,295,
290,732,398,977,733,099,705,977,326,067,115,924,856,269,502,265,365,342,440,
014,592,530,593,010,871,817,336,065,836,354,777,096,831,044,621,465,800,956,
486,055,350,350,183,851,218,829,108,867,344,498,177,903,434,215,572,994,509,
413,230,416,525,748,221,300,479,055,938,360,924,683,621,789,582,982,003,589,
406,187,006,258,311,870,983,915,798,406,068,999,872,789,337,173,470,434,874,
892,983,581,979,776,402,741,592,975,080,796,390,394,798,083,278,021,369,639,
831,046,222,005,942,901,195,017,407,299,443,417,845,085,866,070,567,901,622,
219,215,863,684,498,428,916,084,301,897,535,915,625,159,464,982,958,972,102,
937,336,482,564,934,173,871,220,807,709,553,669,998,624,252,572,641,140,264,
405,427,985,371,008,401,423,084,546,288,933,719,422,325,273,057,478,815,842,
817,530,678,443,000,311,384,818,644,743,384,593,623,995,569,658,554,997,146,
283,249,853,770,524,700,013,934,754,727,244,198,610,157,800,331,754,452,224,
267,971,843,699,697,153,229,305,210,933,806,540,338,082,947,298,766,483,627,
774,870,359,976,795,654,048,107,745,375,081,861,563,934,210,550,727,673,596,
731,640,898,843,140,635,147,755,460,459,115,260,098,231,323,011,919,708,337,
747,415,614,840,920,890,202,587,076,290,910,822,206,519,813,755,282,338,710,
648,250,203,903,989,606,442,479,853,678,642,147,461,607,670,921,677,238,840,
470,700,633,882,525,527,819,075,289,645,977,373,296,134,022,229,349,391,505,
558,841,505,933,286,234,355,351,841,441,554,678,164,084,002,244,504,615,264,
107,101,924,869,005,664,257,074,633,331,687,786,797,818,910,285,495,670,634,
540,967,697,165,412,124,850,200,797,068,725,960,958,027,338,967,343,723,511,
405,007,181,702,573,553,821,492,860,989,600,334,960,380,807,062,243,543,507,
488,875,262,937,994,626,341,482,107,340,845,899,436,746,013,992,137,642,211,
831,474,694,233,891,444,458,825,658,532,353,492,662,321,555,397,595,690,548,
266,997,213,739,346,575,703,429,211,280,857,044,895,462,937,436,538,818,535,
012,652,780,290,859,456,387,174,067,273,996,467,727,949,607,313,217,671,185,
099,147,441,112,346,044,760,921,941,381,047,074,351,240,277,539,292,762,278,
415,137,780,982,598,995,856,379,785,852,538,054,274,339,862,176,391,478,459,
518,911,108,558,001,878,677,874,006,889,096,927,594,903,303,888,573,045,662,
556,309,944,369,021,098,219,407,903,821,269,917,662,352,261,700,599,299,664,
252,337,608,622,400,514,817,714,781,037,201,716,317,889,697,461,968,489,416,
376,219,857,527,104,406,806,040,005,879,091,763,762,601,589,826,129,548,659,
510,969,115,112,686,403,363,476,784,178,478,608,135,789,386,718,132,084,458,
599,973,274,911,686,474,991,229,786,312,657,716,139,660,070,737,814,726,152,
134,566,147,120,937,085,701,302,783,792,158,478,985,113,778,737,106,455,558,
363,319,704,441,490,280,774,194,627,290,303,678,934,321,530,656,699,588,530,
531,718,736,502,079,512,958,273,683,464,295,050,315,846,857,090,470,349,147,
634,692,155,958,578,389,034,542,707,763,170,254,856,168,760,811,214,406,750,
356,306,428,810,730,779,265,991,397,765,849,121,163,570,793,070,272,408,954,
611,029,202,570,264,257,149,648,615,696,636,748,701,226,649,608,616,699,059,
751,965,092,448,963,758,463,786,191,840,795,422,219,914,339,089,520,804,985,
265,101,239,029,489,616,391,574,097,615,334,627,761,444,532,157,351,252,382,
108,491,844,169,086,634,053,280,825,722,672,398,567,816,014,213,095,471,562,
034,747,782,883,777,234,340,891,170,847,485,509,537,191,913,915,982,637,724,
294,909,136,568,171,592,977,643,805,435,603,358,299,682,199,260,653,751,049,
644,765,435,515,533,528,170,370,593,790,381,739,004,277,456,316,577,771,555,
310,506,648,167,775,359,813,225,521,473,738,277,818,199,558,404,293,435,333,
241,581,276,536,104,872,926,517,373,324,011,815,317,992,107,566,343,231,497,
612,365,944,775,107,950,714,384,094,302,688,896,031,070,978,049,621,020,477,
755,947,241,512,813,918,262,164,852,542,853,045,480,486,572,149,265,600,487,
619,258,868,060,594,903,213,265,190,297,022,941,446,101,016,963,785,482,719,
064,222,865,383,192,439,433,663,142,579,857,332,624,743,262,928,593,769,890,
209,243,045,700,358,789,889,552,267,144,773,750,740,934,389,190,716,938,780,
656,718,715,963,997,218,158,656,275,364,776,449,981,106,504,777,764,082,151,
249,456,360,012,915,361,080,243,203,009,820,132,565,626,397,685,745,110,517,
034,469,644,999,686,905,400,716,670,498,511,250,692,737,368,630,085,773,831,
001,621,487,385,288,342,411,167,149,617,676,952,400,014,035,398,004,114,413,
382,576,475,850,090,895,765,100,331,133,393,911,788,954,524,309,152,316,257,
254,569,619,515,923,132,470,911,772,320,799,728,351,530,407,225,390,816,995,
000,572,842,957,949,938,223,802,691,983,857,530,033,750,214,206,548,034,211,
400,151,894,341,801,860,099,062,854,018,432,283,468,057,833,056,172,154,529,
228,290,804,994,579,841,300,061,902,303,057,327,644,926,079,737,918,869,473,
219,250,262,446,440,941,156,555,203,221,541,364,434,642,410,988,988,486,161,
605,075,405,543,255,086,364,634,453,517,977,681,290,433,373,808,636,878,791,
548,669,914,046,429,350,604,627,770,518,828,222,429,437,489,465,628,750,418,
216,719,232,322,195,103,869,321,114,217,538,597,496,566,096,586,026,197,022,
781,299,616,820,555,858,972,357,914,891,810,356,543,770,112,057,746,034,025,
279,914,637,943,266,988,318,950,116,020,645,186,823,126,199,445,369,426,011,
064,628,785,853,919,623,461,794,995,511,710,758,643,143,140,470,310,720,824,
353,002,524,460,287,698,079,063,675,716,240,970,279,218,103,879,748,828,895,
324,690,106,822,718,790,459,646,976,352,772,612,250,192,937,540,337,935,800,
704,338,010,394,211,989,044,769,710,747,105,726,930,259,425,904,201,264,077,
266,423,700,288,378,804,429,236,037,348,136,553,397,531,875,374,629,522,739,
675,592,925,899,593,821,244,482,316,273,393,539,363,079,004,036,717,596,452,
839,477,711,674,325,187,293,216,189,774,985,422,816,402,453,350,976,594,351,
450,167,679,829,603,060,229,327,112,988,147,292,489,148,899,493,475,334,831,
649,583,034,934,053,498,995,454,268,898,120,097,473,023,986,005,796,103,532,
999,183,907,980,287,030,506,142,686,243,976,055,133,242,179,258,514,072,690,
700,028,189,397,934,419,344,285,004,287,047,773,036,220,142,795,640,920,289,
741,144,127,118,969,275,582,359,081,038,484,154,813,425,237,913,440,332,752,
129,704,472,949,887,187,180,584,657,636,603,265,319,194,488,151,567,977,550,
380,859,121,133,293,172,878,713,236,672,931,206,340,547,892,111,959,589,519,
781,358,149,185,636,691,303,389,697,023,833,985,632,903,991,911,878,754,973,
503,347,675,410,359,930,482,968,472,002,275,453,178,843,452,253,386,268,281,
375,701,661,993,778,701,608,201,187,499,263,952,590,235,041,016,634,052,808,
122,248,139,900,413,889,585,190,069,869,511,304,623,085,503,358,673,193,624,
289,954,843,022,938,528,789,419,806,318,426,558,401,188,047,011,348,395,175,
891,912,492,195,490,759,149,230,713,265,075,000,739,685,285,720,594,277,514,
730,030,244,131,508,531,000,758,727,425,154,172,819,643,788,080,993,870,416,
518,244,347,687,749,211,265,962,711,063,196,790,545,260,633,002,978,376,614,
406,546,784,547,081,001,530,091,391,430,752,843,105,605,791,918,055,106,686,
630,873,844,093,872,988,144,809,484,259,593,518,231,405,473,571,958,687,675,
367,271,286,872,685,970,130,245,816,526,950,955,668,531,772,576,993,135,119,
189,635,742,541,524,037,822,654,246,217,393,127,477,066,774,708,961,370,452,
846,821,107,081,942,091,546,650,183,736,325,824,554,221,773,150,813,766,256,
711,618,452,163,961,894,351,317,720,920,248,424,886,973,366,313,552,416,502,
756,093,191,452,989,915,212,884,920,819,572,722,092,390,095,694,712,877,638,
240,665,413,894,560,795,473,950,481,731,628,494,935,882,356,630,020,284,765,
357,650,568,123,228,170,682,207,457,321,657,477,585,349,223,293,588,619,867,
476,350,626,152,255,342,725,749,440,658,822,016,972,143,357,960,707,768,980,
546,729,927,082,828,312,627,958,472,015,063,155,942,193,453,919,610,643,687,
237,596,509,671,654,644,857,750,691,417,303,025,394,868,016,107,941,270,920,
116,145,825,700,248,039,693,334,383,147,778,835,785,088,781,019,139,469,134,
216,988,924,906,207,446,161,453,252,351,978,292,414,888,209,117,447,646,357,
795,339,197,503,408,498,479,648,918,095,609,262,040,918,881,435,843,975,873,
971,421,734,757,722,398,340,680,324,766,107,323,977,756,026,888,863,253,540,
676,183,511,276,122,046,112,772,658,577,042,706,177,532,087,008,506,452,705,
836,234,357,823,614,800,000,369,682,948,447,976,385,253,041,318,567,997,219,
941,342,846,723,781,429,294,030,891,566,234,541,095,836,929,635,360,506,612,
210,620,909,423,599,792,483,766,565,570,280,903,965,660,543,308,126,470,355,
776,713,056,598,943,962,391,469,742,461,771,701,033,846,678,430,093,341,752,
217,874,943,330,093,591,866,547,400,902,257,885,464,735,346,658,978,189,523,
620,880,773,068,888,071,636,511,611,186,149,642,606,725,934,746,883,776,180,
173,782,994,630,281,244,479,217,482,344,810,833,488,537,187,449,638,112,525,
726,376,880,734,516,794,084,241,145,862,945,439,556,618,120,092,761,559,445,
651,899,161,033,063,618,037,826,446,722,685,256,209,981,306,400,945,456,225,
282,904,130,325,872,885,909,727,052,953,520,613,972,065,368,944,956,208,286,
672,803,052,761,971,817,510,884,972,040,511,889,696,528,121,856,028,083,274,
234,834,867,555,869,532,561,265,596,576,689,133,665,783,772,790,605,705,803,
433,339,053,159,183,410,692,054,320,614,674,385,710,262,953,635,028,646,582,
116,813,987,552,581,690,927,197,948,745,761,021,337,273,677,072,803,316,902,
255,088,664,032,288,729,393,783,149,613,660,963,841,101,613,733,971,249,971,
024,991,126,777,225,451,944,324,300,515,524,382,456,384,362,045,345,432,116,
530,394,879,576,093,284,710,099,840,062,767,095,261,071,563,709,510,142,455,
014,165,796,304,807,376,276,944,393,286,461,371,096,706,554,928,616,452,934,
173,337,527,352,807,394,026,915,646,318,666,692,059,731,823,247,075,572,245,
486,928,423,970,974,173,956,170,756,543,540,780,388,004,768,361,007,081,161,
190,307,539,594,388,775,183,830,223,275,048,821,870,038,605,703,067,168,674,
994,156,775,832,112,876,124,282,161,786,373,045,583,085,032,530,627,559,871,
713,425,536,230,218,883,399,947,240,123,737,561,931,130,304,152,584,514,646,
715,607,597,769,083,935,766,033,789,495,401,145,236,800,901,214,864,252,650,
749,114,918,863,686,642,880,986,969,229,075,081,752,932,975,121,650,015,125,
203,025,135,478,269,743,624,324,163,635,712,865,385,622,631,331,572,453,051,
825,571,730,080,752,438,918,832,427,755,186,068,878,262,907,246,777,405,391,
802,012,934,233,865,710,618,138,438,649,399,589,872,290,249,702,841,669,815,
565,182,335,556,223,567,334,295,184,708,244,997,688,673,524,241,700,213,479,
524,855,313,804,324,219,462,404,341,379,110,099,715,390,624,955,902,266,248,
404,324,717,364,241,543,566,604,784,782,312,164,137,550,461,181,403,207,483,
527,205,586,349,361,114,783,662,797,230,975,772,874,476,394,208,600,056,334,
148,982,198,831,155,562,293,795,749,804,766,554,288,372,910,091,689,516,410,
322,625,472,881,383,084,764,401,135,583,110,967,253,774,470,389,147,806,766,
966,363,185,885,177,043,823,774,343,860,219,116,350,902,789,904,262,999,297,
271,782,291,327,114,089,301,646,396,067,749,246,877,420,201,123,157,548,845,
382,856,988,289,293,819,288,358,293,226,779,964,392,446,719,572,023,501,412,
602,965,284,806,110,101,710,849,273,586,963,716,198,275,279,107,349,902,804,
843,230,112,188,041,181,178,848,581,514,527,770,602,951,129,868,105,176,562,
892,525,273,991,632,458,682,076,035,987,332,527,899,203,506,759,982,753,576,
645,673,292,563,603,373,104,054,255,824,973,169,856,766,296,809,585,652,039,
595,024,978,949,469,400,566,977,618,155,271,856,026,951,078,054,707,797,842,
127,321,260,222,244,644,861,896,552,272,458,278,150,263,580,986,626,978,836,
534,740,665,463,575,170,930,224,498,880,908,500,453,916,218,429,624,310,524,
878,116,323,601,956,684,453,986,128,061,873,833,831,283,736,904,674,472,657,
805,682,581,638,960,777,852,961,844,251,484,525,133,916,721,369,041,115,740,
617,634,988,396,901,072,855,337,769,317,010,932,325,426,715,579,054,965,667,
500,379,930,736,790,194,583,607,058,613,742,240,052,745,731,194,269,912,939,
046,706,586,012,811,080,600,917,963,370,309,225,930,164,901,841,802,287,557,
086,520,830,092,641,860,603,341,748,099,980,447,074,800,496,651,117,228,485,
902,319,401,084,150,077,661,815,459,168,255,654,633,437,755,623,440,724,943,
328,545,645,272,738,057,851,005,771,058,595,352,317,071,112,968,998,765,248,
445,803,954,652,633,519,204,040,239,146,508,321,864,518,474,761,961,337,167,
457,370,969,060,354,595,778,143,293,148,148,461,180,385,454,851,245,597,770,
205,461,875,848,495,086,951,237,371,015,846,656,718,947,387,685,766,002,563,
631,681,846,063,380,787,614,882,166,179,676,183,721,746,198,159,707,546,343,
070,948,498,797,146,579,457,353,583,007,855,049,991,066,489,529,389,553,875,
139,022,015,654,970,211,534,401,386,895,495,682,330,990,594,947,678,445,101,
680,380,831,902,931,399,155,847,123,046,237,312,937,491,357,736,231,698,872,
756,435,364,760,474,407,259,415,604,310,945,255,584,942,271,193,499,076,225,
990,140,392,523,542,396,279,593,054,518,300,410,574,844,635,995,658,058,763,
102,097,757,161,188,351,526,369,224,509,040,039,517,606,870,597,205,246,602,
198,222,354,321,280,400,456,155,189,669,678,386,916,245,548,933,490,498,347,
344,760,307,965,656,202,170,542,122,855,163,806,938,558,806,808,700,923,521,
633,689,741,880,281,833,858,131,330,588,552,298,002,580,959,646,907,125,057,
761,061,603,237,647,230,100,001,834,060,292,590,295,484,038,096,765,231,694,
204,868,587,282,169,395,070,614,986,064,965,213,801,722,187,231,191,343,731,
709,287,538,947,326,746,979,508,392,505,115,663,592,682,934,439,317,342,253,
029,389,812,815,608,595,740,902,776,093,346,927,383,643,967,090,287,503,644,
591,841,522,130,685,642,597,437,864,473,214,644,088,750,415,602,765,643,485,
607,792,323,997,096,636,052,774,362,751,634,280,319,989,955,540,851,581,636,
106,693,849,913,214,605,909,394,407,346,545,311,278,391,883,684,840,216,976,
520,420,008,698,056,018,986,078,966,835,211,736,198,617,772,762,007,001,818,
942,642,638,103,472,554,228,226,618,700,542,915,541,527,193,412,908,652,511,
583,333,810,197,242,151,728,415,101,796,306,011,379,755,410,755,090,700,882,
131,960,851,707,703,230,471,717,590,984,325,262,253,758,017,178,641,103,532,
535,073,934,032,639,604,766,692,416,864,384,764,667,625,289,459,464,871,282,
592,532,404,386,281,278,888,270,977,965,333,461,289,806,430,662,937,013,389,
695,549,115,554,703,786,737,289,220,649,955,945,568,673,171,295,963,108,011,
987,990,627,017,809,127,010,862,624,461,704,719,359,928,047,900,934,662,925,
996,642,369,961,976,495,232,671,221,138,699,128,702,619,232,505,327,811,285,
386,603,950,761,141,792,162,791,541,347,495,262,084,238,570,817,929,691,964,
991,103,587,320,113,453,014,820,957,318,808,840,047,457,731,615,239,812,344,
663,308,300,264,654,310,558,474,605,248,500,750,513,986,496,324,225,126,916,
872,160,333,025,984,136,389,287,516,406,104,483,887,217,009,217,477,353,146,
176,054,714,398,034,282,669,130,787,281,696,534,588,421,020,353,985,440,312,
448,414,250,463,832,928,608,144,123,017,017,522,099,249,285,633,195,863,344,
633,500,553,033,063,652,399,888,281,412,204,825,088,354,324,326,480,614,978,
939,848,627,669,575,712,271,168,567,288,764,961,323,778,671,130,211,415,404,
089,441,846,468,518,351,843,283,855,676,650,727,945,968,345,098,539,563,585,
693,190,443,746,762,777,813,431,901,985,480,370,844,129,780,292,803,093,294,
118,710,804,558,411,558,886,111,498,464,720,795,086,869,636,005,834,376,171,
467,799,009,930,106,373,849,451,933,178,434,296,528,916,957,481,871,228,571,
464,518,264,807,277,706,595,013,756,002,624,580,832,852,292,239,122,247,540,
703,839,422,408,394,146,549,605,128,783,919,384,660,805,297,135,182,423,625,
346,518,595,942,358,518,923,643,206,968,559,574,874,311,406,873,403,753,605,
982,915,431,765,575,386,652,243,430,044,006,736,582,120,998,443,399,028,522,
940,187,661,797,383,928,663,295,145,116,850,428,085,038,698,103,668,382,906,
424,914,300,842,920,923,578,098,406,344,428,404,092,303,940,964,412,691,812,
683,795,578,493,542,470,800,677,079,024,095,888,643,555,974,844,985,689,861,
364,201,026,922,354,180,414,404,008,909,995,220,442,772,978,107,114,974,817,
797,254,511,124,383,927,635,807,429,503,317,897,866,806,339,861,888,768,863,
932,656,313,445,981,644,708,794,004,455,830,063,566,379,133,975,999,986,118,
244,435,110,493,521,109,203,198,029,237,643,312,705,827,073,913,665,649,410,
568,067,843,748,786,897,857,007,750,877,541,171,981,469,767,470,702,373,423,
295,250,196,394,936,770,253,706,556,450,286,980,249,797,522,741,739,867,394,
512,923,242,433,579,950,326,450,548,450,392,004,068,038,168,364,896,088,495,
864,105,835,111,083,532,755,395,722,279,925,825,338,212,999,544,169,413,122,
340,563,899,532,615,015,933,472,477,061,063,885,060,842,989,240,144,157,515,
843,470,630,693,744,239,941,503,327,736,510,400,355,278,264,783,395,287,848,
865,797,928,081,506,775,038,967,833,706,875,938,831,021,660,638,790,963,392,
287,630,078,788,608,446,061,914,439,536,429,341,530,863,764,505,777,219,484,
618,898,767,889,517,634,612,263,165,087,158,131,051,845,248,629,892,696,522,
249,500,917,855,818,872,887,003,880,095,945,581,662,065,805,598,645,467,153,
839,842,020,075,475,253,931,859,839,474,277,052,654,433,572,556,044,215,747,
674,155,488,341,644,425,355,685,252,684,849,469,112,692,744,032,272,410,632,
022,381,962,847,333,950,625,496,355,827,537,474,054,305,815,542,060,317,651,
443,431,974,122,602,812,467,956,987,336,165,773,159,817,507,005,891,374,616,
506,496,615,001,648,649,412,485,264,052,251,103,216,073,436,925,431,495,405,
092,816,086,995,620,395,830,820,252,749,088,551,767,260,872,004,234,419,289,
198,289,562,680,649,439,959,684,184,080,959,543,310,519,805,829,051,055,253,
349,132,769,386,876,996,925,674,576,803,896,942,381,841,131,448,176,590,235,
239,751,801,372,839,180,501,971,106,557,201,363,392,425,904,827,976,612,375,
715,360,417,253,839,640,563,030,054,313,084,343,938,021,109,599,468,273,069,
231,070,136,343,124,450,336,671,444,301,497,616,469,245,131,866,646,556,890,
568,736,404,396,181,348,173,666,217,815,210,819,048,349,265,966,069,184,465,
072,778,509,763,920,144,623,969,131,772,265,210,611,488,807,778,083,013,511,
258,591,005,902,225,911,232,541,698,972,436,987,423,059,163,285,197,438,643,
874,201,912,153,323,084,799,011,680,889,033,835,761,187,700,748,047,521,275,
998,935,262,766,194,910,082,570,737,838,738,578,046,058,553,844,425,455,162,
313,691,849,786,958,934,943,077,026,234,480,532,046,554,127,850,612,928,115,
447,565,378,056,325,022,788,546,720,048,342,618,376,904,181,979,524,555,464,
508,763,225,543,931,176,233,163,613,123,621,281,662,345,701,966,156,503,976,
450,440,737,405,446,099,118,402,735,768,025,050,375,077,860,474,494,213,823,
173,286,639,401,902,799,396,780,242,680,227,590,889,473,037,224,264,959,328,
919,073,246,206,621,159,833,711,637,502,331,603,723,000,530,125,795,109,879,
344,009,524,585,547,632,364,844,907,531,013,174,026,115,018,042,581,122,689,
785,745,562,022,565,292,429,937,884,583,032,036,590,682,237,944,675,100,716,
193,262,716,228,356,211,697,820,528,035,615,734,387,393,422,274,376,447,475,
188,373,136,665,808,924,817,038,112,967,315,880,779,107,270,629,659,854,625,
270,029,329,438,282,531,664,563,034,241,792,702,707,859,277,851,057,405,096,
535,155,773,692,821,895,050,204,430,193,838,127,134,460,302,915,009,188,575,
964,827,653,898,397,364,288,515,208,269,443,135,274,647,570,027,934,382,598,
469,060,003,636,230,376,024,804,701,787,720,196,693,873,435,958,480,743,043,
427,568,524,155,395,461,106,547,406,566,754,277,534,207,022,501,574,770,381,
990,949,723,962,521,936,281,362,435,102,019,409,381,397,371,434,910,647,443,
811,962,012,586,788,522,901,278,943,629,120,593,405,059,501,644,043,123,345,
380,783,044,741,539,776,118,517,312,405,051,888,524,007,527,511,468,926,993,
093,953,593,489,813,952,513,976,739,527,582,824,387,616,052,101,401,702,167,
955,842,927,810,735,465,828,801,485,359,872,214,337,133,548,102,688,441,445,
039,011,479,740,454,087,663,097,595,141,338,862,986,828,008,276,682,478,312,
222,788,433,086,476,019,069,102,275,038,734,481,638,987,466,995,525,429,876,
899,317,747,151,660,203,278,629,020,453,460,399,746,329,473,754,845,948,795,
202,982,878,746,113,543,625,681,859,395,217,206,026,390,739,347,832,732,085,
939,316,858,422,292,954,929,406,173,694,016,376,084,718,545,715,614,282,261,
965,789,389,241,429,729,203,501,834,150,381,047,575,357,024,130,452,609,167,
830,429,697,046,996,221,139,807,174,028,350,638,388,795,022,201,526,363,657,
517,601,475,742,367,661,803,914,210,343,705,700,796,444,513,085,652,704,696,
525,845,347,381,058,497,083,235,054,801,901,236,007,244,791,493,511,815,632,
325,992,718,904,800,493,931,691,516,793,470,367,608,698,428,939,365,300,685,
500,727,348,284,087,863,159,840,153,472,770,104,323,590,540,595,283,001,595,
048,172,912,478,547,127,587,982,908,319,951,104,651,049,715,020,563,073,480,
090,259,972,503,154,934,906,132,891,843,756,588,495,238,287,121,055,582,569,
789,761,644,573,983,899,532,189,773,191,597,745,942,468,233,844,139,679,156,
674,495,353,414,641,565,435,008,462,082,538,372,613,563,716,406,800,606,718,
170,800,406,134,297,781,105,335,653,283,596,368,736,698,850,126,399,717,543,
165,854,196,299,553,899,839,336,640,011,250,407,084,108,048,753,327,298,291,
599,621,674,830,245,456,666,617,754,168,279,693,389,088,493,139,560,237,098,
052,756,878,384,285,342,968,601,682,829,606,058,803,422,248,702,178,407,135,
330,217,298,411,731,657,524,795,357,573,415,132,826,007,058,924,839,599,877,
988,747,321,724,724,577,078,645,875,023,910,148,962,288,271,512,490,058,751,
153,521,248,856,712,158,826,816,286,683,446,038,458,485,790,104,257,292,034,
114,150,295,915,220,181,089,055,425,951,376,285,082,626,808,535,338,101,114,
198,815,464,023,703,566,249,999,134,614,428,809,337,442,141,495,579,787,779,
786,886,530,907,429,332,417,358,031,216,670,124,643,679,997,833,674,807,260,
854,795,935,056,081,426,132,202,895,053,389,477,794,392,029,053,860,610,714,
697,531,311,288,192,922,745,394,757,116,909,331,263,024,503,808,305,621,429,
131,440,258,267,581,028,981,486,504,716,222,370,608,576,094,420,458,072,794,
461,349,167,540,919,303,156,580,071,129,346,217,309,419,706,884,819,364,951,
835,788,775,514,396,402,409,963,803,611,346,437,871,076,890,852,583,860,656,
856,673,595,351,854,153,489,824,108,404,183,499,023,489,229,435,821,995,641,
069,564,721,087,555,027,126,833,681,228,501,848,565,042,234,721,893,458,801,
470,604,756,887,187,619,526,614,232,545,818,418,368,415,017,133,476,927,057,
487,283,959,463,004,215,196,182,902,455,007,122,597,025,116,896,689,647,822,
142,875,091,699,218,574,550,308,203,351,597,540,523,250,659,122,097,909,325,
550,885,257,054,640,706,225,852,366,073,540,300,530,199,082,622,399,174,043,
974,120,654,208,729,683,649,877,185,344,555,532,258,111,973,834,833,587,183,
969,426,395,937,533,709,793,228,891,108,761,900,519,289,048,272,740,374,398,
094,580,886,412,478,106,661,072,795,847,467,285,416,264,890,108,807,164,782,
017,562,268,348,152,765,862,581,272,127,466,932,447,606,661,268,127,567,186,
205,406,416,648,626,175,988,326,018,831,178,899,646,635,706,770,879,389,903,
779,688,949,252,212,709,951,119,929,426,012,731,439,893,254,862,604,445,351,
366,831,155,115,029,668,862,905,297,236,844,050,675,467,091,602,647,314,148,
460,715,376,900,026,443,896,058,624,683,151,713,369,210,242,268,034,145,358,
602,684,600,278,215,087,366,612,106,619,605,828,285,686,502,004,322,146,399,
594,248,394,807,393,866,578,322,916,043,158,810,782,528,295,455,430,366,435,
646,194,167,184,413,328,289,758,486,213,300,201,066,531,020,986,916,524,526,
484,150,264,847,890,907,728,031,492,368,992,500,376,856,073,718,362,529,887,
240,304,061,513,046,055,589,602,032,825,904,618,545,895,694,629,257,819,974,
656,391,574,999,760,838,187,301,379,500,943,829,234,352,868,313,734,731,603,
555,679,096,365,414,617,248,861,089,619,537,231,687,285,443,786,391,219,646,
133,109,583,464,633,310,555,068,261,976,033,054,654,498,185,239,843,616,095,
967,779,664,012,635,368,527,593,475,652,136,500,291,716,342,716,170,726,867,
669,526,968,815,592,841,705,721,110,402,099,270,992,690,240,766,201,594,982,
635,080,766,927,578,309,938,604,158,240,679,937,729,386,459,978,261,694,320,
309,280,075,012,965,044,152,608,349,379,706,549,577,904,744,870,355,562,159,
383,775,612,108,538,592,248,458,531,279,968,739,908,790,212,923,573,630,974,
621,562,601,177,508,607,919,663,103,194,491,526,854,768,281,858,898,713,565,
034,518,866,081,966,481,543,182,226,730,374,779,465,404,770,281,604,830,086,
870,296,383,933,747,791,286,919,879,147,295,754,761,610,209,294,335,606,743,
013,655,011,299,298,239,897,484,340,547,266,824,771,274,716,084,379,978,014,
257,966,567,920,152,638,739,750,457,257,680,920,633,003,835,506,865,892,308,
111,799,530,948,681,011,065,051,490,237,516,935,469,149,375,898,828,496,400,
932,766,810,800,081,466,364,254,242,353,450,988,191,515,810,836,073,369,887,
800,583,865,574,663,541,239,832,185,695,206,186,616,360,227,748,754,580,038,
147,289,610,383,777,526,640,889,105,250,683,838,692,503,810,219,089,973,422,
668,563,528,465,318,026,551,954,062,239,225,132,983,545,985,705,106,470,997,
082,471,093,267,223,447,505,974,352,712,868,509,919,751,903,458,702,711,863,
018,457,423,843,775,531,451,473,462,603,138,404,618,545,893,257,399,477,252,
349,610,613,901,687,084,371,189,260,588,869,853,907,069,964,967,979,044,147,
142,156,350,309,734,680,495,904,779,859,199,973,970,015,763,905,689,734,215,
604,745,303,783,338,464,896,336,028,757,988,067,174,902,064,445,905,377,436,
859,241,799,019,581,790,604,921,177,805,345,058,272,044,791,107,198,848,305,
411,918,450,118,300,159,817,701,316,184,178,214,338,509,128,887,656,211,093,
043,266,891,223,726,505,274,387,088,865,731,643,625,712,681,628,678,824,804,
178,757,836,522,999,280,565,396,141,024,893,024,748,166,775,801,167,657,311,
909,816,371,476,486,885,365,773,033,207,058,903,199,397,305,031,513,762,185,
535,304,066,962,092,345,404,524,707,185,627,576,439,927,665,683,949,814,252,
136,346,360,924,663,995,699,426,527,179,315,313,308,899,616,481,317,491,823,
754,563,851,281,143,805,612,453,719,247,772,103,542,609,992,851,822,210,844,
468,381,144,181,608,028,893,151,192,713,414,704,704,356,149,516,307,487,571,
118,423,088,869,228,951,591,594,403,992,181,396,497,709,698,007,895,642,996,
713,357,765,628,334,872,317,796,486,955,714,990,106,138,190,399,705,892,489,
931,732,900,130,468,878,125,836,791,163,718,091,094,371,203,278,865,279,819,
021,442,283,535,342,404,258,965,786,658,159,710,794,822,917,151,173,273,881,
844,828,370,487,378,942,082,551,525,109,040,592,034,038,017,816,251,602,183,
390,071,382,500,063,519,522,325,470,602,159,251,660,512,690,967,833,153,775,
350,272,710,325,665,814,968,905,740,671,748,753,173,156,024,436,963,118,142,
584,754,268,418,252,633,879,710,465,919,231,418,974,707,601,853,003,154,231,
151,372,203,498,290,630,589,011,428,315,946,501,251,446,388,871,804,707,937,
704,362,162,626,591,918,150,195,802,847,907,139,763,289,673,179,285,845,462,
024,647,897,683,571,098,157,057,734,114,275,522,289,873,201,214,329,619,915,
715,418,071,295,954,597,031,650,524,743,517,053,128,697,093,891,510,552,843,
253,707,769,263,308,548,921,954,182,882,222,226,389,305,727,335,967,674,827,
794,495,566,679,086,284,113,574,359,745,739,944,570,012,594,317,663,716,411,
468,878,019,374,640,223,867,023,112,504,866,763,162,222,472,910,098,900,615,
646,821,264,411,391,431,473,097,548,383,242,565,309,271,948,839,319,165,228,
244,222,249,145,900,573,622,015,076,085,488,587,057,095,242,775,372,076,815,
680,749,374,276,113,066,490,224,502,859,020,589,205,784,052,488,369,599,669,
314,248,650,020,547,321,291,611,074,310,807,969,201,870,928,731,366,427,515,
468,421,982,060,538,559,995,138,608,825,940,182,967,568,407,543,869,589,235,
698,014,517,299,055,258,773,683,602,007,416,514,450,578,917,899,959,826,533,
835,619,963,341,221,725,913,840,479,598,426,346,914,237,960,722,982,126,286,
975,152,896,369,980,889,323,503,824,679,681,947,265,893,388,324,938,513,670,
224,191,166,901,680,561,898,755,479,777,287,501,895,042,138,692,556,811,783,
167,774,328,353,830,681,150,305,287,739,065,234,835,020,572,371,232,062,773,
629,738,142,724,961,517,884,251,096,762,817,955,121,667,941,416,148,505,239,
704,667,003,492,575,184,479,427,116,908,937,327,844,021,857,045,496,692,226,
453,096,485,865,218,639,337,012,661,642,183,349,770,793,057,436,227,015,912,
891,557,815,033,452,894,916,699,056,098,721,399,515,605,190,411,402,631,003,
945,284,480,664,842,793,671,118,156,940,624,404,087,663,172,706,052,973,273,
223,540,067,516,088,605,569,824,343,790,357,586,218,515,431,540,486,701,798,
643,595,525,621,875,487,832,179,421,598,963,269,216,887,336,908,705,505,493,
465,641,285,580,493,807,877,703,285,278,128,977,709,237,022,869,835,948,513,
347,378,438,867,893,099,226,723,602,649,344,137,819,364,917,987,614,552,317,
169,707,793,000,499,636,166,696,134,987,306,609,008,100,000,327,981,527,837,
030,378,911,976,400,988,034,823,089,315,383,558,729,935,899,423,674,135,102,
098,910,029,436,742,945,352,355,383,707,516,848,400,926,295,384,341,392,451,
681,637,505,948,431,758,279,439,517,820,245,392,986,364,072,278,784,543,283,
153,349,580,852,408,688,051,177,196,087,341,918,189,645,840,902,749,396,479,
659,568,334,812,925,875,880,447,057,757,196,795,687,647,386,992,644,569,316,
659,954,614,428,384,592,880,162,993,302,684,799,752,043,003,481,714,197,099,
955,940,701,019,350,802,129,461,115,349,635,888,196,695,799,652,932,014,199,
626,240,434,007,017,751,973,105,829,214,211,584,937,692,739,925,391,649,965,
431,189,216,797,066,708,144,124,581,882,852,994,168,563,210,736,684,447,742,
699,257,401,918,224,909,642,850,167,680,679,987,670,598,753,367,701,226,114,
054,085,040,597,705,606,843,142,431,138,580,478,062,387,011,936,016,820,026,
256,011,190,570,319,545,986,150,546,071,098,871,534,011,340,323,183,046,474,
774,697,732,089,730,390,060,117,985,302,400,289,110,196,780,031,936,451,793,
926,130,056,828,843,835,917,962,544,184,724,756,214,838,169,224,474,445,210,
747,755,023,813,011,547,449,703,816,040,190,530,468,237,896,505,853,960,311,
337,762,752,676,582,307,845,854,811,256,498,127,007,995,140,363,114,646,920,
606,069,675,176,214,804,657,611,737,015,792,821,378,840,937,801,261,071,312,
343,002,597,825,457,269,170,174,179,083,550,552,255,904,158,073,869,832,475,
758,489,390,588,842,368,186,472,925,424,747,170,536,809,162,609,698,335,985,
079,000,859,906,047,228,022,256,306,049,116,919,670,167,983,336,141,031,288,
317,730,264,328,590,850,167,454,948,782,262,720,933,604,526,666,322,673,528,
023,036,621,254,186,870,771,212,064,634,054,286,185,346,255,268,650,014,845,
340,163,890,499,658,240,860,159,990,644,725,173,849,637,078,369,971,399,716,
844,134,326,882,936,182,020,063,181,439,692,658,861,208,498,159,924,896,460,
836,028,345,357,809,330,435,993,625,472,760,491,678,819,394,898,807,803,433,
271,321,594,378,152,411,463,198,600,726,960,886,650,192,647,977,718,905,927,
882,626,142,284,273,815,144,891,563,854,116,967,559,424,493,200,068,730,700,
794,845,370,598,491,425,850,362,130,789,518,868,074,096,857,153,207,507,622,
753,876,107,344,092,400,130,321,166,438,252,775,195,570,791,444,212,095,570,
374,556,523,025,819,968,374,306,856,689,746,240,786,295,905,647,781,932,646,
893,818,831,068,415,433,819,481,020,931,760,917,531,088,823,419,209,972,182,
213,824,420,098,336,420,217,195,965,629,326,386,436,054,825,908,981,686,470,
961,240,800,759,874,433,044,583,707,608,201,264,319,979,639,958,329,047,184,
690,360,186,767,226,008,843,859,551,978,155,748,957,449,562,168,633,117,237,
461,839,983,129,329,952,250,689,905,563,093,414,040,722,796,353,165,783,097,
955,055,126,646,369,750,035,220,241,580,102,884,240,218,579,903,405,507,258,
369,025,462,130,118,660,091,922,273,964,238,151,138,651,790,358,873,691,719,
702,219,372,890,739,457,925,423,053,115,184,881,636,813,589,712,877,707,029,
014,751,495,982,516,581,929,439,074,906,006,132,535,436,565,904,243,517,021,
095,874,120,054,939,192,923,311,567,947,175,311,651,125,131,711,149,264,177,
111,732,608,825,751,065,254,688,506,608,438,046,422,649,469,498,524,529,623,
637,495,911,278,267,066,545,225,537,675,810,965,825,755,611,560,982,571,501,
442,223,219,027,124,514,464,429,963,884,402,773,385,107,899,922,558,374,101,
316,110,251,005,815,818,443,869,910,986,368,222,761,478,712,415,488,157,809,
436,691,118,337,881,686,165,842,456,147,093,254,029,843,407,091,293,319,316,
943,039,378,825,847,482,754,483,580,949,398,604,236,388,559,504,336,240,063,
638,149,570,450,624,418,446,366,548,484,002,354,792,331,713,398,159,096,913,
386,479,039,706,583,035,504,519,134,812,118,993,617,104,488,411,264,272,896,
531,525,540,433,214,582,953,893,516,169,774,619,838,204,130,307,300,367,451,
688,929,645,120,048,490,711,840,092,037,489,733,450,610,164,575,804,251,523,
612,305,279,825,751,118,478,997,372,720,982,882,533,297,223,724,403,726,077,
486,734,743,485,454,594,534,197,423,208,860,118,978,215,042,933,985,588,050,
473,255,843,307,442,563,568,995,801,899,774,738,954,404,071,634,800,715,079,
551,739,928,446,494,811,180,535,128,995,280,713,929,223,263,908,404,737,972,
540,793,772,459,022,025,954,870,982,309,609,582,502,355,187,077,343,494,871,
363,160,258,069,779,299,959,965,841,537,454,907,613,033,996,611,780,189,960,
017,662,352,054,507,409,458,593,897,964,043,012,149,972,459,682,282,427,569,
391,934,768,033,843,470,799,389,687,400,271,874,466,113,132,684,687,886,382,
480,634,286,103,260,086,920,252,231,546,908,512,855,754,934,207,344,623,547,
571,069,713,024,004,322,560,943,661,542,932,016,086,228,782,552,199,715,894,
546,013,493,369,273,424,946,826,417,589,850,650,199,162,428,417,179,377,055,
001,983,957,754,573,718,313,543,455,308,443,897,676,252,610,615,971,339,179,
855,001,620,184,988,543,671,892,926,878,576,250,179,190,094,513,692,422,811,
474,523,479,269,952,104,354,353,506,324,876,546,415,456,186,478,175,004,012,
649,289,518,941,400,928,809,839,758,602,420,970,843,464,784,640,770,296,466,
089,267,321,955,420,414,785,764,323,231,763,602,700,656,761,704,889,187,620,
669,941,761,126,634,935,549,494,458,994,889,997,205,372,855,770,618,182,718,
698,162,947,300,892,607,728,013,006,433,158,035,329,529,707,888,289,890,371,
104,775,108,329,520,772,380,993,119,777,861,593,074,681,530,974,818,472,536,
948,168,494,303,626,040,559,278,465,654,397,395,933,557,383,148,298,054,074,
391,250,138,409,216,963,721,940,812,529,787,537,435,526,855,396,452,554,923,
312,451,485,063,151,907,137,239,581,716,318,158,998,739,001,509,353,680,956,
235,189,995,439,143,529,684,591,774,925,097,992,119,568,386,385,279,507,824,
625,057,726,071,723,510,667,056,809,140,322,551,909,449,570,218,584,028,831,
626,420,977,650,697,419,364,846,650,536,011,967,308,486,635,001,704,951,858,
485,038,308,018,890,346,129,026,457,005,394,048,678,552,065,928,482,785,896,
720,351,102,891,116,944,883,434,639,282,877,208,149,790,414,914,534,023,135,
398,282,262,461,872,553,734,163,193,545,249,466,369,236,024,181,380,144,463,
090,984,032,627,935,718,435,969,353,268,114,748,568,714,851,276,128,186,055,
178,338,644,677,608,942,818,570,114,789,918,783,827,502,503,663,761,121,985,
148,274,590,858,466,407,298,026,400,987,931,111,305,982,945,739,505,534,377,
768,335,357,905,302,929,890,263,365,856,707,783,936,658,499,560,744,024,807,
973,005,096,205,174,901,240,003,387,434,467,462,681,112,706,688,945,733,970,
394,748,253,657,923,936,824,670,862,963,271,162,658,538,268,766,638,670,468,
589,123,506,996,722,788,535,363,647,104,899,421,735,129,027,511,236,553,214,
437,061,742,577,947,171,477,531,921,780,559,625,164,563,241,783,746,002,391,
652,965,120,157,854,927,881,201,564,111,735,940,420,910,322,519,026,932,700,
953,405,830,346,693,630,027,950,581,836,992,843,543,009,156,179,879,519,916,
885,823,019,070,085,173,464,360,059,165,133,342,121,264,154,329,966,235,215,
605,563,870,387,092,070,277,388,787,438,127,226,673,425,754,951,083,167,388,
413,145,715,491,492,387,797,483,434,878,929,031,196,817,717,139,589,045,862,
380,733,262,507,977,665,950,844,600,643,218,367,959,611,397,040,784,737,853,
114,651,011,812,844,106,114,285,300,059,854,767,172,376,922,762,424,371,594,
106,707,496,206,216,150,531,821,231,051,669,310,355,529,508,436,021,385,522,
265,819,906,128,990,167,230,347,306,655,748,156,532,424,585,650,665,600,661,
456,141,646,032,895,738,331,789,270,194,406,577,542,143,779,669,175,683,000,
662,973,077,605,658,977,541,090,869,226,605,812,411,389,087,625,532,328,228,
288,404,310,563,761,024,372,776,859,656,499,650,724,248,846,133,641,327,772,
993,295,266,088,394,276,686,037,475,363,313,045,296,931,322,694,011,042,483,
714,225,872,579,997,248,004,069,582,067,857,375,141,239,449,614,053,117,350,
709,841,195,799,570,174,279,710,759,632,531,792,233,621,379,169,787,668,043,
329,799,701,085,929,247,578,495,263,118,830,320,212,241,296,219,881,028,662,
852,568,177,655,815,403,531,866,710,453,076,307,098,197,893,138,607,590,789,
397,113,250,100,576,151,019,451,106,727,215,997,789,062,470,964,806,320,897,
418,316,138,792,361,078,548,537,908,161,194,998,766,194,886,994,725,206,137,
533,586,605,372,111,873,337,288,456,408,936,038,772,927,095,970,581,101,407,
402,603,228,207,034,438,732,377,466,975,090,826,274,393,134,453,743,531,035,
622,550,577,128,398,316,372,746,816,768,199,981,622,844,078,489,188,673,530,
861,630,457,442,076,152,853,395,030,298,779,911,731,660,520,663,472,420,475,
489,214,907,514,715,063,464,773,691,082,724,238,771,013,620,617,219,812,205,
677,578,259,576,961,625,432,508,128,788,086,475,811,502,263,321,391,153,374,
235,173,268,129,924,597,115,831,867,401,446,642,250,100,131,860,520,754,086,
196,158,627,364,397,167,336,101,139,408,987,132,510,047,454,282,528,422,166,
685,398,039,047,843,631,912,128,090,676,065,204,766,994,163,789,092,378,922,
719,734,019,943,340,597,770,467,330,056,336,138,380,783,900,824,649,667,027,
549,183,318,669,489,790,019,736,252,025,056,932,658,477,269,183,819,973,290,
155,873,190,807,207,560,321,524,697,796,458,835,736,914,979,674,929,605,519,
748,425,635,193,009,013,265,589,515,509,115,807,377,497,346,274,403,524,831,
420,660,395,109,544,604,536,838,231,656,886,521,974,932,667,474,107,471,796,
246,924,580,770,645,393,892,498,793,875,085,856,014,921,790,608,575,957,808,
722,442,107,151,322,708,789,073,158,873,799,117,578,893,152,271,307,837,585,
995,219,583,219,061,992,214,204,111,408,120,026,466,696,606,988,216,585,259,
302,512,469,875,967,216,100,736,356,544,284,799,656,656,984,716,971,704,258,
286,429,078,174,609,350,540,173,996,751,006,521,410,206,570,717,180,525,085,
840,523,486,612,930,988,770,761,876,056,617,807,054,583,775,441,848,703,037,
618,557,028,268,420,137,661,478,822,000,274,006,911,257,194,846,655,358,961,
355,510,690,252,278,146,485,423,563,960,621,069,751,967,256,869,070,726,764,
351,498,460,415,609,302,409,758,941,876,841,481,270,425,628,345,213,550,145,
743,505,636,537,642,369,910,125,870,909,004,562,765,600,862,030,348,738,136,
389,355,546,033,325,288,096,951,207,511,388,180,961,652,068,450,251,077,077,
220,762,768,799,800,405,700,972,264,308,976,279,154,462,392,986,328,147,661,
626,593,027,078,078,072,471,885,493,357,042,630,049,271,455,728,485,610,792,
317,376,086,822,326,053,071,375,198,824,160,726,174,676,608,228,582,140,454,
689,126,586,868,095,079,908,688,293,813,138,035,970,997,930,109,344,161,773,
092,548,975,397,896,321,451,930,008,488,259,865,486,489,716,559,927,444,816,
190,740,720,435,670,957,685,503,872,723,330,609,245,281,022,745,207,187,129,
544,621,000,906,622,593,701,070,278,544,908,425,728,791,698,429,885,711,109,
990,676,965,772,935,731,456,619,903,188,801,382,880,195,234,193,019,036,733,
394,857,208,927,728,492,143,889,825,826,457,834,115,713,580,937,827,136,108,
699,680,035,889,632,089,347,917,601,770,080,197,610,447,925,775,447,378,620,
447,442,902,543,353,784,181,731,018,640,378,794,977,482,423,235,333,121,316,
419,400,933,262,229,698,835,551,875,978,493,292,557,682,999,306,819,835,263,
532,446,533,313,036,404,430,094,601,208,846,198,728,767,793,141,069,528,293,
022,129,375,575,132,177,014,610,314,506,904,347,389,387,844,213,873,114,444,
015,209,139,918,214,785,128,367,141,458,214,060,778,927,919,885,710,518,097,
565,973,207,793,113,073,141,540,935,099,052,069,000,351,654,902,804,050,723,
418,091,374,889,044,450,285,950,523,784,575,384,487,459,003,075,935,214,481,
658,204,012,493,883,713,766,256,809,070,523,936,023,864,046,693,628,135,681,
669,789,630,960,000,450,704,037,275,054,385,790,746,961,767,784,727,836,710,
753,523,047,954,083,974,072,515,782,131,703,085,848,469,726,714,475,379,738,
381,822,851,412,103,059,942,045,916,699,010,980,999,039,542,383,922,370,952,
145,373,683,413,791,558,348,022,475,790,960,041,424,697,532,349,814,342,468,
073,580,442,792,187,526,640,554,550,125,478,348,874,532,227,883,938,154,758,
818,546,833,540,800,685,940,342,515,271,350,035,643,430,863,717,010,694,318,
113,118,145,711,982,722,110,927,109,518,633,399,087,686,697,292,959,905,105,
769,757,105,270,361,809,765,988,831,892,978,778,916,746,401,265,003,131,675,
284,114,277,517,458,126,031,785,795,377,696,366,971,646,893,013,222,541,292,
324,781,910,852,161,694,721,820,131,312,859,649,075,928,090,934,763,619,017,
019,882,269,907,500,992,593,605,223,661,441,763,452,258,976,762,766,920,873,
770,117,451,443,306,784,477,738,223,633,782,048,358,735,215,208,155,563,533,
751,446,919,994,962,504,930,324,216,096,267,511,112,729,549,006,040,911,292,
442,409,884,904,674,784,957,498,788,796,897,936,161,359,640,644,147,228,311,
327,635,188,558,774,524,837,386,066,922,631,359,631,414,374,803,398,884,026,
466,693,038,675,591,807,558,362,875,949,506,886,148,014,724,161,050,879,261,
630,747,976,671,104,080,158,547,027,054,906,073,307,122,949,229,100,999,429,
644,670,037,974,457,148,238,887,090,392,264,268,114,284,031,182,123,529,027,
221,374,536,593,965,952,715,464,603,669,012,210,593,167,340,597,597,844,491,
923,260,165,348,625,998,729,960,935,038,526,372,441,146,069,060,130,837,153,
061,533,612,201,982,156,634,606,976,109,007,710,759,827,018,775,660,949,858,
570,608,821,630,636,274,322,499,794,970,127,662,572,746,977,027,627,048,070,
346,556,317,285,259,994,871,932,461,733,285,089,069,498,331,585,989,395,898,
569,735,828,588,734,984,224,651,121,666,649,346,053,570,796,246,478,228,711,
300,073,422,703,117,768,813,465,031,537,590,405,503,332,752,221,764,990,031,
197,121,244,649,260,006,216,998,876,750,665,018,965,032,140,177,403,080,960,
356,577,022,843,321,142,173,987,115,538,382,669,970,415,687,275,974,797,159,
062,291,911,428,676,907,630,514,699,308,713,015,803,839,604,641,894,209,273,
384,512,264,830,875,794,223,040,975,929,760,514,065,510,400,161,028,135,621,
989,411,366,894,017,695,759,785,104,839,693,282,720,821,738,048,611,625,107,
155,844,786,703,155,325,229,628,401,879,443,138,215,905,465,436,443,137,041,
894,369,672,500,448,324,201,406,993,822,044,450,604,894,352,193,248,967,346,
294,051,060,996,104,809,406,414,633,572,264,495,576,506,493,472,193,452,395,
849,978,127,526,453,403,925,754,086,906,689,827,280,462,050,626,330,491,561,
741,091,677,897,242,622,005,965,520,512,358,735,378,755,582,181,464,510,524,
737,706,140,845,056,184,423,519,154,847,633,461,130,300,421,084,027,830,468,
486,149,872,373,244,476,234,372,635,679,973,121,286,615,576,178,096,214,124,
763,164,951,234,046,067,327,696,999,831,543,704,058,032,499,400,321,752,857,
135,794,024,573,422,212,092,782,933,509,334,188,059,409,121,850,463,685,401,
351,562,865,055,447,228,955,866,288,303,996,574,431,936,132,861,795,235,607,
245,154,656,259,396,757,455,127,016,857,816,770,310,289,973,581,676,742,131,
543,000,751,348,585,566,674,553,814,066,865,792,466,562,013,045,281,554,528,
287,263,971,390,484,538,095,899,255,829,735,823,761,279,323,182,604,638,375,
041,777,349,157,883,960,648,415,610,827,730,142,014,994,629,798,311,550,486,
816,465,396,503,699,873,610,637,347,566,516,561,151,252,771,968,560,325,370,
158,816,380,998,132,166,110,162,650,934,567,632,404,145,337,681,425,476,205,
955,885,482,704,265,875,108,208,006,696,254,919,951,652,060,223,411,204,868,
107,851,990,271,252,092,732,233,829,607,648,446,843,601,327,237,727,203,202,
994,951,645,010,855,581,373,680,580,395,104,000,303,679,970,390,386,739,837,
188,608,553,962,819,786,706,793,715,396,410,819,996,825,870,429,057,592,143,
050,297,298,910,234,417,428,260,347,839,165,036,301,285,691,731,192,386,286,
241,589,409,170,870,622,715,973,631,101,514,243,466,434,095,021,033,093,118,
412,321,965,251,496,940,846,445,875,784,277,951,093,068,099,527,399,219,106,
458,264,487,811,056,650,110,656,237,946,192,650,193,422,742,161,118,249,786,
424,076,724,743,511,635,618,289,041,765,891,417,368,920,343,620,288,734,291,
206,852,045,128,472,971,913,199,054,707,345,697,906,240,291,571,127,993,460,
537,877,189,944,770,532,985,675,951,052,005,751,036,508,381,393,170,031,876,
098,320,894,388,006,979,557,037,096,258,270,402,393,718,200,901,870,420,677,
793,626,793,998,392,962,530,863,790,065,391,898,069,554,865,312,363,739,800,
877,605,423,567,697,607,268,774,684,769,730,157,284,281,960,323,601,084,846,
064,372,600,598,862,089,196,320,035,326,605,414,308,248,789,997,369,895,339,
899,658,689,716,937,566,956,983,764,735,840,577,356,091,621,035,439,083,223,
365,231,208,352,139,434,605,121,982,707,260,755,959,853,077,235,244,285,720,
120,325,792,015,225,318,423,431,906,097,530,744,662,465,336,020,200,851,516,
176,514,395,803,363,243,955,316,972,120,124,894,536,300,408,337,068,827,735,
116,526,771,326,062,010,225,883,948,463,920,910,398,992,005,712,352,223,392,
650,978,540,273,506,444,580,691,581,987,704,442,042,124,002,032,471,916,759,
230,587,040,684,548,758,951,577,686,597,030,398,080,273,031,277,984,433,967,
637,962,698,582,313,036,179,480,054,793,454,956,262,532,094,806,205,811,932,
156,094,015,521,465,782,129,022,133,336,181,341,764,019,806,767,415,206,249,
924,497,486,613,885,881,207,168,819,843,197,052,727,296,180,885,350,177,148,
785,139,670,443,983,132,336,947,873,121,597,882,451,435,559,075,207,680,158,
189,816,757,562,641,735,195,380,429,494,193,515,730,471,033,610,111,223,412,
610,166,605,852,641,520,469,466,845,558,046,277,888,031,693,723,967,318,588,
630,729,212,607,037,352,954,567,100,447,815,149,240,186,090,757,819,719,056,
653,465,082,969,672,184,780,267,976,641,657,877,500,054,621,472,902,731,220,
056,168,597,062,100,215,631,395,322,933,415,239,943,403,539,221,166,007,586,
957,958,747,379,905,254,840,459,674,104,680,338,367,880,036,286,954,039,953,
948,525,885,433,971,070,221,287,453,299,983,612,904,514,134,621,152,171,868,
324,588,138,835,973,503,957,960,427,987,381,017,857,192,998,380,277,785,264,
819,811,264,564,937,224,555,470,505,012,117,679,990,571,093,535,026,568,783,
970,622,836,304,790,017,110,017,804,545,818,000,634,071,962,217,073,342,348,
207,301,348,432,755,686,001,986,496,337,513,627,355,317,651,460,959,313,728,
386,049,106,030,745,012,747,510,210,701,259,634,908,599,191,350,156,304,463,
067,314,170,959,211,615,236,860,925,865,289,370,057,502,502,440,419,040,232,
250,758,428,841,529,701,992,210,297,531,240,578,809,401,277,132,888,583,293,
181,532,568,962,415,424,983,400,411,501,209,208,797,811,037,637,803,627,234,
510,927,155,006,181,430,655,302,754,319,866,967,714,330,746,108,797,903,137,
723,569,042,815,368,992,604,843,905,981,323,847,416,639,425,904,291,000,015,
263,751,927,541,337,075,631,059,830,702,495,072,579,417,286,854,007,589,056,
567,367,097,199,894,506,052,826,030,951,408,290,262,278,565,658,651,100,434,
128,543,085,162,900,537,737,280,781,661,814,907,517,831,218,774,513,418,183,
844,055,897,383,395,602,497,327,856,428,225,220,718,954,745,264,029,813,113,
620,375,292,668,679,856,031,619,438,363,279,002,238,567,974,527,055,174,014,
514,663,776,651,661,559,477,418,103,820,771,399,300,212,929,481,572,024,184,
194,721,092,465,029,339,461,088,444,598,676,910,264,981,932,183,018,968,527,
886,735,530,667,233,140,048,527,780,645,264,570,763,883,581,872,900,311,688,
646,924,411,410,938,623,069,587,503,907,526,916,397,147,858,790,218,506,807,
977,493,921,493,113,964,021,149,378,170,217,222,554,162,813,478,230,900,001,
504,125,374,794,893,553,479,235,924,843,127,572,446,997,805,615,130,093,085,
411,978,490,596,142,315,779,940,259,700,885,658,032,007,824,544,115,816,217,
668,099,995,747,023,423,262,071,864,635,020,030,292,496,897,870,185,040,455,
828,074,552,712,967,151,211,847,407,011,577,590,613,873,781,570,170,116,704,
112,620,853,673,182,465,263,653,737,339,965,554,897,364,715,042,289,446,484,
307,700,738,803,018,223,086,900,084,078,344,546,368,988,830,932,467,433,464,
600,923,266,106,810,528,788,009,079,367,890,612,716,739,939,928,042,575,584,
446,078,694,758,817,551,447,320,138,044,244,669,493,604,909,351,114,752,026,
510,350,384,405,155,492,776,079,780,005,678,005,935,210,416,627,893,071,801,
753,025,350,232,605,402,163,497,326,716,623,992,613,973,106,427,477,881,007,
093,070,062,147,049,018,677,798,663,937,173,217,300,163,439,732,466,774,102,
780,643,124,172,751,129,089,758,224,099,903,086,834,392,653,241,907,472,877,
897,032,815,370,733,457,376,818,039,642,557,129,219,283,810,244,396,336,076,
692,395,008,722,060,197,621,615,817,592,598,418,247,744,785,615,343,749,113,
589,386,930,046,416,809,617,140,699,999,073,036,032,544,175,515,818,586,378,
348,446,644,535,763,587,315,928,559,337,364,539,805,565,255,203,027,859,285,
026,882,634,338,807,342,890,628,748,789,958,641,175,965,472,101,280,553,331,
185,954,908,012,619,244,555,585,776,022,185,828,190,636,828,498,641,205,996,
500,678,091,043,679,818,058,968,387,237,849,620,512,210,887,179,594,490,979,
219,400,719,620,087,294,736,559,855,363,982,202,899,810,490,590,865,041,398,
715,588,425,698,632,363,796,037,643,641,904,671,254,239,120,419,166,087,729,
392,258,014,383,471,867,892,883,348,495,261,907,034,584,234,679,401,792,279,
258,526,232,957,341,430,013,605,541,379,077,377,507,340,505,681,926,822,981,
126,189,409,663,623,327,779,426,462,318,499,099,277,386,743,604,280,929,813,
037,952,185,274,586,944,327,312,288,058,482,491,938,947,509,554,691,106,715,
712,857,259,345,532,998,980,363,909,617,550,154,467,053,373,638,238,097,503,
266,559,695,828,524,227,616,682,865,792,143,893,552,070,647,693,845,118,479,
000,140,518,268,605,229,095,998,878,833,771,690,299,873,488,225,634,954,311,
238,130,681,559,471,879,369,049,764,661,908,150,533,985,513,158,468,585,423,
810,913,561,306,647,842,355,888,130,979,498,493,459,203,152,943,405,652,606,
477,874,206,591,984,408,853,714,407,439,520,674,138,966,108,936,066,513,666,
664,051,968,849,582,557,856,280,394,651,298,392,490,478,071,696,896,256,117,
275,883,840,066,110,732,694,768,730,327,803,158,984,215,626,728,488,021,155,
987,651,289,553,359,728,247,617,462,129,615,052,880,532,856,727,465,124,246,
558,500,831,289,995,437,805,354,565,307,857,367,762,479,754,625,732,062,531,
286,120,414,000,306,798,624,309,193,473,546,751,682,985,337,887,891,191,346,
172,185,625,606,924,016,531,909,113,684,631,856,630,115,261,829,623,561,084,
558,142,925,851,798,352,735,359,844,499,162,289,919,157,031,011,501,545,140,
591,888,110,199,191,750,240,484,756,765,791,127,828,481,110,279,683,192,063,
187,335,477,572,171,405,804,258,293,021,962,878,756,141,658,167,419,773,625,
126,654,626,201,130,093,086,995,445,281,638,928,105,293,390,659,880,182,564,
919,369,515,375,332,864,552,613,541,995,916,561,993,869,166,219,031,445,880,
328,223,079,830,802,906,747,964,825,302,421,468,178,965,226,715,932,185,285,
812,225,185,212,889,688,043,654,375,205,389,105,885,404,348,328,783,028,693,
812,295,918,801,928,444,921,140,950,716,410,453,224,652,739,852,043,370,465,
284,139,138,871,060,931,571,891,631,060,159,290,177,434,592,614,297,679,527,
313,983,304,970,750,735,579,120,565,659,392,151,011,278,517,830,020,366,276,
473,473,771,680,399,440,138,300,168,849,322,021,027,569,587,373,673,750,372,
667,908,357,996,838,568,211,356,786,255,659,211,522,931,479,029,382,168,826,
571,184,175,516,736,755,261,065,797,315,744,272,649,019,290,068,631,925,028,
322,010,459,365,804,289,387,190,406,568,907,156,820,569,674,467,230,732,247,
323,629,406,973,259,831,645,110,021,676,789,194,444,079,045,952,137,014,393,
352,148,692,517,480,837,670,478,432,647,488,375,076,465,686,936,391,268,299,
848,450,440,127,284,979,313,864,270,442,039,323,883,270,023,548,466,638,727,
966,683,369,951,622,133,847,860,881,987,871,867,131,903,013,601,856,143,077,
343,326,494,651,105,262,988,257,623,023,467,954,603,175,845,079,343,029,875,
275,420,146,800,074,588,748,592,690,593,892,129,890,024,012,785,721,688,360,
603,419,393,825,108,001,262,195,550,431,043,392,016,459,101,013,405,343,809,
809,084,617,511,312,542,181,482,006,775,452,493,197,714,457,098,479,750,509,
359,440,306,518,330,591,834,644,765,379,584,472,376,880,052,215,757,230,204,
012,813,466,420,957,604,226,775,952,268,796,502,081,994,253,365,184,122,743,
387,085,619,842,727,420,847,569,744,002,877,931,662,693,045,217,464,357,760,
829,362,201,791,387,179,511,853,031,719,661,321,399,058,599,715,422,628,375,
405,151,683,299,910,557,518,229,086,395,016,891,893,433,158,720,699,064,384,
263,401,891,479,992,397,242,442,693,456,087,242,574,241,240,362,594,742,554,
614,408,031,000,350,538,629,378,537,945,311,787,384,283,477,420,988,729,643,
714,871,872,951,020,775,925,658,810,171,662,667,425,559,680,925,403,492,584,
495,339,682,215,972,681,354,738,931,030,567,394,260,096,489,875,689,180,934,
458,351,775,158,696,608,876,981,592,423,301,211,982,565,431,446,851,616,038,
910,560,892,054,133,226,815,198,006,448,005,876,635,652,129,065,188,978,075,
921,600,272,197,117,166,521,384,723,627,548,226,130,080,727,346,851,676,318,
304,726,645,339,991,720,606,304,441,933,001,635,189,757,216,122,317,390,318,
699,723,181,851,807,762,568,259,063,333,092,003,367,472,573,647,787,411,117,
423,858,840,385,280,889,958,586,477,013,011,906,061,804,001,371,060,203,188,
392,749,118,263,569,932,145,614,784,143,446,747,424,401,992,256,797,759,453,
900,147,217,445,106,297,098,003,200,023,513,439,369,783,581,680,964,239,346,
257,811,231,307,943,498,153,052,036,255,869,369,976,041,210,977,527,672,044,
090,070,709,261,755,523,888,578,127,830,524,633,299,481,700,023,443,629,085,
634,851,902,409,287,163,049,526,555,153,728,590,060,884,766,110,913,440,327,
233,022,263,894,219,570,452,282,071,020,127,566,306,176,646,312,857,899,141,
410,148,769,328,432,464,214,881,761,687,978,399,162,486,341,131,373,888,028,
154,290,606,565,223,417,845,307,864,240,392,774,345,125,051,366,102,179,546,
872,064,871,872,804,943,100,686,039,975,066,324,366,978,284,416,832,264,239,
339,360,027,670,910,858,274,138,167,452,287,546,204,264,516,064,818,762,131,
940,311,652,694,301,267,873,659,407,711,476,566,517,684,421,288,754,841,856,
219,629,304,682,382,686,531,406,310,540,510,129,408,706,805,789,097,072,248,
815,882,207,929,855,436,292,464,395,190,656,235,976,337,631,111,745,377,753,
645,935,118,553,142,631,912,545,716,950,942,056,649,701,984,365,344,516,924,
106,559,205,635,437,570,289,042,283,435,428,785,573,027,307,451,596,753,659,
066,548,039,728,897,327,345,829,767,634,459,159,836,171,814,770,068,081,505,
502,950,549,526,791,485,550,991,861,060,329,708,004,918,512,336,345,333,095,
514,183,797,705,161,813,084,205,444,434,410,990,429,407,776,669,745,325,060,
860,955,555,164,642,470,067,406,889,278,198,569,002,907,107,976,916,993,315,
336,325,588,713,626,850,123,909,384,385,522,467,366,091,772,837,252,080,525,
736,565,046,731,562,003,200,826,421,908,218,981,067,891,345,878,026,397,431,
130,104,939,766,393,604,609,701,488,822,779,992,487,644,012,094,049,977,534,
187,316,147,864,611,807,387,435,410,068,842,440,623,904,177,262,046,069,542,
580,072,749,905,679,119,215,996,916,188,999,205,081,169,686,119,145,690,300,
134,699,640,797,568,702,455,250,247,457,848,291,282,339,916,686,640,762,201,
381,304,280,792,533,843,814,727,683,078,455,608,684,554,829,177,538,389,088,
603,419,473,043,274,750,352,162,100,417,083,474,359,061,995,187,100,815,890,
754,719,316,899,597,064,668,275,994,214,198,436,970,062,136,350,866,570,045,
167,019,221,699,412,022,214,445,590,682,838,904,500,731,385,910,221,615,221,
920,639,469,146,532,576,744,700,943,093,215,408,978,612,000,480,425,871,786,
987,536,930,384,814,279,858,118,184,441,214,781,563,162,793,907,191,453,047,
097,435,284,168,267,182,371,978,697,314,867,856,150,943,760,236,049,726,732,
040,984,747,543,182,000,775,881,429,407,999,064,377,171,095,964,195,318,944,
736,599,792,244,965,208,608,039,661,298,009,077,431,986,418,487,836,760,988,
986,970,460,941,378,771,722,332,370,458,530,879,882,955,212,273,327,071,968,
806,859,744,102,934,375,273,727,026,069,289,838,757,177,269,384,045,819,547,
040,100,638,553,750,935,889,468,194,678,944,475,523,722,666,008,972,134,138,
111,375,523,444,637,165,463,273,239,127,895,374,272,481,051,589,351,027,726,
652,051,581,130,140,601,312,317,736,635,622,471,566,281,284,870,309,973,640,
161,344,786,233,367,205,470,382,542,168,873,886,718,935,921,730,554,376,748,
440,123,301,065,919,497,442,568,948,435,195,412,393,317,194,994,952,655,208,
934,322,237,114,022,085,356,492,287,442,474,482,260,496,179,900,954,102,679,
142,746,152,965,277,989,051,922,137,592,289,921,646,126,444,433,496,912,263,
564,624,473,827,896,143,104,454,245,987,322,898,118,178,564,891,120,615,200,
324,395,835,176,151,221,195,242,230,958,367,640,769,038,394,988,063,698,588,
783,621,243,586,422,377,837,505,646,639,870,473,762,388,306,977,422,344,731,
797,727,525,843,160,183,991,203,230,503,260,101,564,466,987,601,139,433,650,
077,852,183,233,223,792,464,086,146,277,981,323,124,521,207,797,385,260,910,
814,517,192,659,776,144,403,619,916,472,629,973,606,218,664,750,727,702,313,
258,971,584,538,813,372,061,334,936,359,307,714,421,530,503,377,615,521,155,
456,821,651,846,650,350,257,144,461,413,302,758,871,768,293,718,696,506,090,
394,661,447,453,410,510,404,520,170,889,642,007,936,763,628,048,598,778,668,
440,494,030,302,781,291,111,347,420,739,425,281,579,138,020,206,779,463,147,
702,608,587,183,676,052,676,426,272,116,036,375,910,264,130,831,237,849,297,
446,808,202,262,815,857,965,566,261,639,751,384,600,073,526,452,519,848,781,
163,345,938,698,330,724,281,121,258,331,882,110,855,583,129,394,794,180,226,
026,478,156,920,921,658,460,176,252,960,072,090,103,909,339,845,300,326,714,
424,382,448,134,609,420,088,062,233,140,699,190,957,663,500,813,168,523,953,
658,714,444,960,242,690,283,643,676,608,223,307,005,829,439,877,453,764,029,
043,579,506,917,022,136,873,009,991,396,853,516,946,816,314,068,737,044,995,
101,744,525,983,972,415,335,290,194,758,544,290,747,751,209,839,627,380,220,
031,455,855,687,004,884,522,287,857,836,818,113,828,239,881,011,694,805,354,
615,111,379,253,496,082,074,635,253,391,840,125,723,512,355,246,186,453,245,
252,824,010,021,646,236,133,537,542,842,256,417,392,314,016,730,853,373,283,
850,909,168,439,874,158,553,678,477,204,006,628,176,372,546,832,383,393,499,
064,989,568,372,790,365,582,279,674,615,053,608,297,657,819,915,745,177,635,
771,090,460,449,160,152,455,761,703,392,497,857,656,356,031,123,814,431,097,
567,619,885,795,077,119,408,339,306,121,053,450,001,465,542,665,763,583,173,
049,167,598,613,263,155,979,474,802,948,880,860,245,935,059,548,038,946,089,
953,606,611,089,229,242,005,434,395,271,459,046,830,202,508,407,462,951,020,
710,980,730,646,715,965,764,881,932,672,284,406,394,562,757,323,807,891,987,
292,877,808,732,157,621,862,385,951,759,107,331,798,418,660,755,640,448,666,
081,919,498,707,895,583,995,894,842,031,879,247,722,106,184,851,450,929,219,
933,853,763,444,505,423,612,924,992,087,688,954,855,663,557,446,354,684,975,
199,250,855,120,070,322,777,245,628,671,705,044,388,410,710,905,162,673,883,
090,548,817,346,577,370,098,985,930,635,234,905,842,048,191,517,656,507,617,
117,571,810,690,011,409,519,965,185,490,424,736,467,121,695,848,344,035,253,
645,980,193,889,343,344,961,417,106,110,118,448,327,339,754,408,393,245,712,
378,529,523,628,018,451,840,466,706,316,702,472,113,947,077,817,376,777,862,
490,935,576,979,541,730,099,915,007,317,364,369,099,206,242,111,192,848,397,
907,825,802,241,911,534,653,532,818,971,762,429,934,973,402,217,718,823,568,
353,854,078,768,371,714,741,494,603,595,049,243,332,962,035,144,231,178,604,
192,767,662,640,912,477,947,663,421,098,897,793,337,388,772,135,516,032,064,
741,756,453,813,300,436,200,872,558,633,150,535,952,851,450,226,060,722,542,
307,690,327,926,959,823,507,324,871,408,933,588,205,924,365,548,293,685,413,
818,827,463,245,840,468,004,467,521,231,208,752,991,581,081,534,673,607,951,
585,229,348,172,431,206,118,609,915,549,989,099,867,979,646,695,224,321,398,
192,294,890,126,789,725,639,507,775,074,016,458,163,257,116,488,737,850,988,
145,135,089,715,187,138,476,057,237,871,521,586,218,853,496,742,782,847,999,
825,491,535,051,757,147,530,483,370,342,849,605,889,450,138,304,856,957,449,
297,448,835,836,950,916,544,270,589,129,504,025,761,892,372,377,965,016,262,
134,067,536,807,248,329,387,466,488,679,280,609,340,905,007,527,962,038,462,
981,286,203,324,430,772,798,306,190,985,448,744,040,167,764,601,425,246,374,
325,695,705,397,539,816,511,960,701,857,204,896,537,336,052,672,859,769,522,
524,137,974,476,799,320,222,971,415,093,632,227,838,932,376,200,807,580,845,
699,665,158,616,167,866,852,241,707,241,736,654,309,518,284,900,637,932,651,
541,642,912,995,233,593,039,591,467,787,432,805,955,796,082,496,881,205,641,
538,828,888,759,111,779,834,399,934,257,334,749,295,187,626,010,686,537,376,
200,441,578,888,722,046,356,293,853,324,542,869,819,679,287,717,580,574,056,
822,968,864,685,914,164,554,861,853,683,969,827,736,838,972,855,279,968,630,
485,911,370,144,476,729,305,084,722,175,181,385,325,799,717,182,698,786,581,
692,089,953,119,710,355,929,676,534,828,104,178,927,391,827,072,504,817,656,
152,030,164,559,813,170,599,041,190,551,862,969,675,853,222,499,413,554,418,
516,702,640,087,753,705,200,361,334,301,679,249,606,421,017,956,418,257,989,
157,506,398,928,894,945,232,965,840,838,871,071,358,390,551,179,770,876,500,
710,782,436,456,695,626,774,218,541,305,775,280,823,575,846,822,244,128,942,
629,591,086,630,065,052,080,330,094,431,739,568,191,004,327,568,684,737,362,
414,613,539,518,810,367,581,499,092,920,982,115,935,451,005,687,032,611,187,
120,381,215,654,905,183,033,893,932,922,019,004,511,095,225,014,995,815,311,
208,231,471,153,651,642,196,189,728,578,894,671,118,218,472,152,307,885,787,
768,438,998,992,844,767,739,307,607,940,085,455,028,918,536,220,378,851,016,
005,452,561,315,586,949,756,742,416,670,195,215,792,215,187,362,474,376,130,
288,558,591,111,320,251,569,038,368,076,393,742,560,812,800,168,122,022,654,
571,107,481,608,081,788,208,236,986,607,427,224,378,835,321,098,948,997,055,
863,014,246,595,235,913,657,004,799,283,198,164,930,665,039,920,589,115,753,
397,690,813,815,455,071,360,779,978,038,969,005,190,729,385,265,660,511,283,
441,639,610,299,335,118,610,677,748,143,668,576,227,632,618,082,474,734,240,
850,632,827,809,053,453,747,411,583,945,815,026,821,288,055,047,335,197,149,
466,566,746,989,445,552,844,675,969,415,662,384,297,029,679,528,045,083,084,
022,507,346,821,714,359,316,782,437,205,651,150,462,246,018,146,392,206,003,
915,477,870,092,611,799,268,108,491,699,700,814,521,118,038,641,802,368,094,
482,858,632,138,921,576,495,148,721,307,135,297,510,404,130,871,538,439,351,
289,673,537,864,121,400,396,348,169,790,890,260,135,528,043,410,346,018,477,
236,686,151,527,073,728,428,425,398,812,203,219,376,753,850,992,051,037,866,
106,800,186,986,241,100,261,608,713,093,385,398,108,850,682,819,702,549,821,
603,294,100,217,151,645,053,170,760,002,550,103,879,305,673,082,968,753,981,
898,080,699,878,241,347,717,980,846,213,743,374,036,525,919,395,678,684,908,
392,986,740,787,107,424,293,927,850,705,227,613,031,256,487,587,484,124,852,
450,058,707,818,937,338,747,996,136,028,864,437,774,111,027,125,674,134,308,
751,918,989,083,609,342,982,218,897,174,506,753,925,726,697,238,451,630,888,
451,942,603,754,777,141,303,169,984,353,110,067,463,176,489,147,051,264,259,
300,170,722,615,651,645,259,377,084,256,108,078,654,573,357,219,430,048,355,
691,841,221,193,028,987,859,336,260,026,044,338,645,581,529,887,832,201,139,
930,818,904,620,137,445,434,614,406,115,254,118,003,754,532,160,833,706,630,
603,606,437,552,144,183,045,505,230,230,147,355,194,472,944,803,361,091,735,
902,447,848,865,441,949,943,734,181,282,817,317,618,772,427,440,651,630,838,
755,023,037,664,121,657,249,358,591,602,319,816,896,006,149,052,202,607,565,
570,883,498,049,081,336,180,328,130,725,384,575,431,554,773,878,241,010,778,
232,975,146,018,099,817,776,649,206,683,027,429,375,870,410,400,186,718,606,
407,052,413,301,282,809,885,515,805,250,560,235,568,927,759,894,126,461,033,
379,564,412,596,471,186,133,031,074,901,318,133,726,636,209,192,064,268,043,
561,837,553,775,774,741,354,496,496,334,642,898,685,858,580,052,833,482,374,
289,212,212,195,232,298,311,879,571,342,995,991,448,584,340,379,192,184,570,
290,732,677,317,918,060,420,822,230,651,114,575,858,027,250,961,246,411,241,
825,044,278,433,125,026,277,387,938,600,053,091,872,285,587,867,720,191,556,
579,418,532,438,352,962,510,944,513,426,683,255,652,090,818,943,985,113,035,
186,505,435,897,755,798,812,560,935,123,403,256,826,273,419,255,676,188,220,
179,417,234,887,934,413,010,045,802,737,342,584,829,938,414,810,584,549,340,
283,950,605,659,826,274,463,213,897,896,182,537,641,078,705,049,506,493,188,
100,121,131,332,898,271,612,607,521,766,326,650,987,194,166,336,607,610,819,
614,670,637,518,029,683,652,447,883,287,482,993,108,909,467,753,520,300,735,
924,270,911,372,940,933,205,472,242,170,030,769,397,118,986,985,936,565,741,
426,265,142,395,891,152,287,661,321,104,449,404,038,340,071,915,860,805,899,
163,953,464,658,876,537,687,799,974,925,406,013,961,333,098,640,774,886,782,
846,083,178,765,412,886,259,870,234,140,116,594,247,761,793,406,306,511,252,
456,017,671,030,608,450,106,092,122,944,155,545,868,619,725,694,226,231,796,
164,480,832,213,560,491,829,305,710,078,805,932,005,203,843,249,810,231,315,
098,170,156,069,373,032,411,221,970,222,709,205,578,188,362,122,185,844,631,
901,514,212,981,912,110,543,969,440,737,681,271,527,167,837,979,359,110,605,
660,381,329,640,330,230,406,336,157,981,089,842,136,827,649,214,516,018,378,
839,195,505,605,299,259,764,706,643,122,834,931,139,242,343,321,317,175,812,
649,288,458,907,499,333,013,595,686,925,939,100,549,248,085,560,030,085,515,
028,460,941,698,951,454,816,780,802,764,842,066,991,698,755,765,704,375,113,
432,481,166,999,742,965,943,288,191,754,845,857,143,947,842,668,793,943,201,
238,468,212,474,215,626,805,954,439,424,550,874,690,305,081,234,552,071,525,
945,118,633,159,825,033,556,830,605,015,545,479,407,412,210,294,994,814,972,
201,868,304,289,108,612,308,082,535,253,379,201,126,752,671,533,321,812,587,
931,912,602,128,532,576,286,896,612,379,797,907,014,767,098,851,106,002,950,
702,206,173,350,233,652,159,305,454,653,196,333,852,024,519,953,993,689,036,
922,783,692,501,630,606,900,279,706,175,328,241,348,333,038,416,114,487,694,
327,276,983,064,402,006,567,866,116,684,114,110,465,398,236,716,365,768,910,
185,194,285,847,326,282,757,221,180,891,701,992,067,091,434,553,258,636,807,
305,131,229,219,301,801,826,364,903,545,563,453,089,963,779,270,568,927,344,
991,498,582,571,717,350,736,552,574,893,669,904,129,737,611,106,786,036,009,
188,905,743,334,503,041,793,664,230,509,730,553,434,375,496,788,104,979,654,
172,466,183,500,548,532,723,677,062,682,744,617,011,474,344,690,656,225,205,
770,854,063,390,405,230,994,241,659,140,771,052,449,703,278,928,549,309,619,
009,514,504,042,133,447,247,764,898,506,097,500,335,115,413,603,683,722,880,
717,902,674,713,519,135,001,040,228,013,851,151,665,170,241,858,397,853,631,
109,045,198,468,819,406,473,569,862,174,849,913,218,050,653,942,512,527,993,
550,914,834,223,915,055,905,871,050,229,458,480,056,117,482,699,215,977,856,
030,556,738,577,247,807,065,756,098,564,970,386,002,488,646,564,591,844,690,
481,907,717,816,721,447,579,531,865,692,653,328,361,504,569,012,119,140,041,
207,713,323,502,909,129,877,498,315,551,204,624,186,765,243,015,500,677,935,
112,415,329,894,467,483,951,555,261,947,171,345,719,301,731,520,396,452,563,
940,676,622,732,986,801,309,563,268,762,533,260,817,832,119,613,991,813,627,
567,175,019,127,270,960,256,323,229,087,162,900,511,362,567,646,350,106,115,
390,026,026,872,945,534,923,215,196,434,833,189,288,217,219,883,661,886,892,
033,394,684,164,750,671,449,841,778,592,291,167,471,407,776,907,995,033,234,
843,912,820,177,973,626,704,445,534,950,990,229,096,157,405,312,751,670,455,
593,810,920,257,657,140,009,528,498,928,946,300,308,973,982,110,227,420,681,
106,325,098,979,573,513,134,390,705,665,390,191,227,333,708,200,759,049,243,
297,717,935,302,540,649,543,745,296,837,862,793,367,859,131,776,806,098,537,
999,219,455,624,399,622,970,734,937,758,364,404,568,690,048,766,393,102,927,
943,651,788,750,948,522,480,683,351,782,742,270,568,789,995,929,357,953,637,
528,675,445,151,488,236,556,826,915,595,430,455,112,377,935,528,974,379,531,
584,716,387,388,813,283,899,057,699,163,729,765,977,362,302,525,987,582,738,
057,546,418,994,244,286,303,703,633,921,901,522,096,564,142,698,738,893,996,
162,083,000,318,562,888,082,642,179,539,067,764,819,432,371,707,291,819,427,
385,210,039,264,438,456,330,851,660,366,293,788,789,275,124,262,949,937,461,
977,832,509,419,220,879,733,901,256,816,667,313,097,272,838,805,492,102,934,
471,509,332,134,077,268,559,857,531,693,456,650,357,306,184,377,759,008,465,
543,609,319,608,634,084,851,049,487,155,011,380,694,903,735,161,403,362,294,
044,835,898,225,324,873,581,901,720,722,545,759,897,751,145,614,550,345,591,
578,375,963,820,470,425,085,716,100,702,537,170,104,739,352,208,741,031,290,
708,047,005,435,742,792,109,861,954,085,944,963,508,004,863,822,592,007,180,
232,038,920,676,508,834,063,716,063,813,756,377,360,539,343,640,576,807,680,
857,600,416,914,361,722,002,949,192,733,513,696,114,223,190,193,599,706,513,
615,363,703,907,105,107,660,626,847,019,821,684,720,036,696,482,071,944,404,
725,789,545,640,876,396,042,330,869,045,299,323,485,967,692,897,825,567,474,
801,380,012,576,926,197,209,757,569,286,103,640,757,153,831,109,555,132,346,
394,246,314,524,486,668,440,212,392,570,147,504,790,514,444,195,228,627,923,
918,243,044,845,545,592,024,860,416,614,176,319,893,845,162,368,844,847,648,
306,170,017,617,487,254,007,395,405,574,866,270,204,941,467,683,899,790,967,
043,139,386,010,381,466,444,673,913,563,365,099,526,085,231,852,445,599,107,
088,483,123,286,490,579,452,503,193,760,171,381,662,375,142,875,243,069,746,
422,050,654,794,539,772,653,709,923,700,544,685,932,511,271,368,009,003,341,
958,791,541,960,339,350,632,456,892,821,945,590,531,761,552,682,082,998,902,
435,242,875,878,804,893,460,046,190,825,918,256,234,541,394,126,125,712,848,
650,386,148,471,086,591,087,448,769,152,129,820,570,176,794,555,875,857,790,
268,825,850,516,332,676,723,760,647,510,433,188,829,124,562,136,344,239,091,
823,990,331,977,264,901,409,292,999,478,770,123,700,167,673,786,009,696,765,
493,752,751,578,573,012,992,523,989,632,625,065,978,403,427,785,105,866,449,
231,811,482,568,115,972,364,760,225,616,065,563,211,616,683,378,590,168,045,
268,852,594,189,382,609,366,903,840,611,365,991,474,673,672,257,391,441,763,
576,783,741,207,196,701,789,291,999,465,821,586,695,473,286,719,243,406,184,
496,823,237,421,123,842,194,583,506,843,151,962,823,310,934,444,759,674,069,
172,417,498,612,457,731,758,427,505,448,495,101,602,540,778,694,187,131,603,
440,398,565,334,645,011,502,505,030,378,191,438,781,275,729,721,270,714,207,
481,164,371,224,368,845,351,344,927,184,460,989,070,242,278,128,319,479,393,
215,160,829,682,163,191,631,438,747,330,502,069,908,732,051,553,729,644,709,
885,339,261,168,918,317,159,401,146,901,189,767,544,144,903,073,207,993,312,
373,265,955,501,899,223,768,201,540,060,063,371,915,127,966,669,474,559,017,
339,666,523,502,135,118,583,537,485,047,220,393,937,510,417,629,752,886,355,
677,074,054,246,299,662,413,946,810,082,938,465,296,149,504,246,994,064,367,
410,270,371,818,205,170,853,305,024,301,833,450,191,600,279,205,782,282,303,
330,151,518,949,767,574,150,005,529,360,043,697,255,944,668,753,592,561,343,
323,961,115,954,640,198,967,465,668,129,789,524,870,022,765,001,023,679,662,
957,739,087,407,371,861,069,100,747,440,427,857,102,214,137,725,427,305,328,
160,137,306,509,608,755,443,544,060,907,211,024,699,075,141,830,307,747,673,
910,936,680,820,280,283,850,472,374,376,565,752,811,157,300,442,255,378,290,
953,314,730,528,848,833,348,103,517,979,554,111,996,331,904,944,071,456,234,
575,296,114,119,169,986,226,886,298,612,471,662,525,304,510,327,822,113,523,
162,741,503,491,207,274,997,385,373,103,246,111,384,389,951,762,883,193,348,
594,763,306,938,622,785,286,550,096,966,575,273,129,900,579,865,516,663,854,
642,048,265,608,723,725,764,573,782,989,358,512,595,624,907,100,520,061,494,
118,531,675,030,243,654,378,353,826,760,912,855,727,912,784,374,297,103,136,
581,370,296,750,582,348,271,517,811,959,744,759,287,657,783,416,722,636,871,
349,328,603,901,591,897,535,804,514,138,813,125,841,414,376,471,884,705,321,
503,995,574,548,622,203,742,244,052,748,499,347,290,246,356,626,760,450,061,
459,370,095,272,617,380,352,437,946,323,945,444,098,307,398,986,701,314,840,
662,032,211,389,659,669,859,062,878,630,156,812,169,518,981,704,677,022,807,
515,589,823,842,615,222,470,298,697,598,640,581,788,205,608,877,747,880,009,
001,383,903,206,467,411,694,315,854,226,807,313,724,090,061,553,501,439,311,
666,304,974,064,412,539,681,618,078,487,473,571,310,442,914,095,725,038,822,
591,915,705,428,094,324,314,834,764,556,833,485,610,770,385,166,026,220,242,
187,175,394,722,362,422,095,055,056,657,115,902,453,101,649,880,849,951,336,
248,584,034,507,538,436,816,592,440,069,477,448,765,805,542,778,402,729,564,
352,585,124,776,129,659,179,606,914,679,715,135,548,254,736,911,908,410,241,
320,840,439,418,852,610,337,344,167,211,234,968,327,987,049,493,149,076,775,
752,293,660,588,349,912,084,441,434,962,380,232,545,692,105,942,700,996,581,
320,198,770,048,597,137,403,037,646,060,106,544,857,465,851,554,085,792,407,
056,118,311,067,291,527,388,283,173,925,874,595,345,763,817,966,974,375,350,
154,500,596,230,009,211,450,990,463,163,152,841,972,457,520,417,466,553,993,
562,962,057,669,451,931,686,342,169,402,844,028,958,170,127,949,611,248,109,
308,144,229,855,937,509,030,266,485,524,762,041,062,728,438,875,553,922,673,
666,852,477,182,484,330,853,876,362,530,958,997,928,901,328,368,005,451,175,
231,541,881,230,957,669,084,707,185,519,385,605,446,219,194,489,463,288,070,
300,476,621,160,465,040,368,862,143,944,826,639,887,841,273,667,311,131,648,
632,727,586,040,730,635,747,004,210,460,403,411,252,983,737,072,680,229,027,
254,960,690,057,669,750,210,835,722,509,254,912,400,681,381,375,199,941,121,
482,880,024,993,212,570,078,328,893,964,396,739,186,856,041,085,558,670,390,
655,519,347,171,135,208,047,612,629,887,466,084,395,190,929,162,786,558,754,
650,842,427,788,162,326,505,589,419,393,308,601,465,124,439,919,611,536,067,
301,991,522,737,912,985,023,741,069,507,274,297,056,851,412,988,832,030,810,
472,351,037,211,382,472,656,593,587,333,736,353,988,388,406,605,807,589,100,
943,018,156,373,261,468,970,701,629,788,584,347,393,232,966,700,638,933,108,
641,726,519,268,811,498,912,633,591,695,614,925,319,634,290,093,058,368,976,
146,832,582,150,987,647,658,378,262,484,410,277,080,294,038,388,729,596,573,
885,594,847,500,599,842,987,305,414,116,882,456,586,664,144,491,808,110,117,
077,663,666,881,938,733,127,994,745,325,801,604,773,508,601,130,377,901,165,
240,155,582,080,443,260,293,059,601,803,955,727,375,175,495,108,635,820,086,
642,344,577,225,967,121,157,103,371,822,447,374,482,892,433,831,166,396,091,
814,593,122,024,495,728,578,251,632,737,639,500,850,612,954,729,045,968,902,
616,273,659,332,906,271,590,496,388,614,972,484,292,132,842,122,599,036,133,
423,284,249,175,061,798,422,446,889,164,530,938,030,410,980,316,093,873,773,
092,358,841,989,486,556,975,220,986,064,791,661,922,760,182,893,655,251,685,
455,983,437,120,676,766,792,887,272,075,820,849,498,515,754,578,150,318,167,
191,838,891,841,237,217,184,992,431,528,100,041,272,615,417,723,459,878,317,
761,696,027,853,107,156,208,175,362,404,231,635,502,870,381,415,336,860,096,
977,274,068,943,371,645,082,035,583,854,291,529,375,583,335,530,626,697,213,
141,811,690,213,408,815,528,925,012,512,116,704,012,413,813,090,099,394,333,
632,020,739,988,239,774,018,204,508,050,958,396,463,334,492,611,164,427,175,
314,242,647,787,764,489,177,181,832,666,040,325,847,491,556,538,479,278,291,
481,782,290,644,896,721,861,707,148,646,215,609,348,605,767,909,629,523,683,
589,246,568,673,853,900,301,865,791,072,921,759,821,834,418,525,232,124,965,
319,470,367,939,521,350,607,380,698,121,745,043,412,829,473,543,617,266,472,
115,962,955,805,366,339,865,080,940,897,701,089,514,225,078,879,367,609,565,
234,096,542,273,316,682,575,920,065,886,989,919,121,034,878,098,255,972,350,
543,052,867,082,132,147,340,330,915,661,350,745,548,272,310,510,346,159,774,
192,738,003,764,638,636,299,622,735,837,552,158,341,699,349,241,841,882,058,
667,776,397,159,709,098,127,870,090,352,102,042,696,773,782,448,837,213,357,
671,081,387,623,489,511,141,995,953,776,671,409,698,207,701,068,816,019,995,
326,337,736,584,553,116,348,092,392,827,627,000,160,788,586,199,287,641,539,
128,662,382,875,831,799,311,851,050,874,615,944,111,871,587,338,669,148,454,
670,420,635,970,535,585,084,167,711,149,785,436,799,711,410,761,841,949,518,
239,122,246,072,400,668,266,077,682,939,159,472,998,619,365,824,350,430,241,
774,321,040,262,324,191,430,274,870,460,444,178,018,576,191,816,054,152,272,
016,677,891,791,550,846,772,700,627,672,170,863,162,384,897,052,535,062,272,
959,941,747,062,803,530,142,140,523,357,962,119,138,019,372,900,747,185,038,
839,908,830,413,827,319,005,932,489,901,352,043,506,725,577,936,448,748,894,
987,141,755,900,120,674,554,992,160,647,344,600,100,351,704,396,435,997,321,
951,496,374,267,756,005,694,206,146,730,768,744,546,176,560,556,679,835,555,
684,340,009,167,066,512,835,083,541,858,551,205,305,466,983,420,136,806,399,
351,960,599,630,820,442,390,331,923,060,420,445,776,048,886,830,554,386,414,
861,250,948,124,195,175,097,628,340,375,984,679,164,342,598,897,084,033,144,
686,246,822,095,108,795,403,845,626,991,879,948,931,358,652,912,461,180,840,
134,004,709,086,784,121,504,900,285,838,766,065,972,292,696,379,404,841,244,
445,585,575,567,083,596,279,706,901,586,522,110,450,887,463,957,914,415,838,
985,571,715,119,394,211,272,273,956,138,158,141,459,823,023,393,122,930,346,
237,827,124,590,864,713,181,849,209,384,531,717,655,460,080,971,620,997,941,
529,788,456,126,785,868,950,685,635,139,072,221,225,963,621,178,738,874,991,
088,148,551,754,134,062,830,632,420,715,278,339,798,496,769,146,371,643,712,
284,256,026,085,181,566,147,350,515,315,197,289,543,809,028,104,999,355,995,
147,457,057,988,456,044,783,565,064,122,651,027,621,152,124,736,657,979,270,
741,137,279,422,778,080,428,951,777,108,314,981,600,074,600,678,375,290,125,
260,838,530,081,790,580,607,522,830,124,180,534,385,366,085,281,522,758,916,
030,448,664,817,096,586,922,759,190,097,845,030,444,414,626,836,160,642,025,
008,307,172,066,426,343,183,638,669,950,424,324,167,034,775,490,611,888,899,
451,372,609,211,260,566,484,862,235,335,638,985,632,533,625,640,695,115,435,
453,981,996,962,251,346,438,363,069,932,732,732,507,258,090,493,609,820,717,
401,010,749,608,463,034,301,210,808,380,164,132,474,709,244,241,807,026,190,
490,874,527,205,886,563,520,198,715,837,214,705,794,327,127,168,887,789,470,
253,018,794,206,156,741,831,572,055,452,319,751,785,370,484,712,886,365,140,
707,664,308,444,335,150,582,117,275,412,033,335,194,771,821,917,859,879,828,
684,772,648,158,335,932,905,131,701,504,036,636,363,917,701,471,291,745,370,
114,499,434,935,561,115,419,825,961,239,302,217,385,328,453,858,607,927,688,
921,993,807,514,828,315,852,481,987,062,896,497,950,329,431,634,325,148,527,
744,945,710,856,118,340,285,492,273,352,682,332,533,967,650,252,690,984,965,
193,722,658,986,425,650,594,085,617,206,411,494,986,664,344,170,908,831,710,
217,054,395,136,561,636,211,194,808,602,451,840,021,853,391,797,520,225,612,
608,537,571,558,326,943,223,135,859,551,461,101,425,562,013,455,439,622,491,
846,451,301,461,627,622,758,216,314,388,892,580,083,554,177,779,486,330,899,
287,296,848,926,543,567,080,128,001,018,123,380,503,552,822,929,418,468,983,
708,118,950,342,281,422,604,044,080,662,950,277,090,909,612,912,244,725,554,
216,274,573,189,333,630,725,044,998,764,711,481,137,976,163,358,043,994,736,
737,124,153,383,055,754,810,331,410,446,588,815,350,549,758,585,867,424,284,
241,691,535,800,521,327,795,814,996,378,080,870,435,542,935,855,247,410,597,
238,551,813,111,925,042,811,806,759,645,331,305,134,624,525,738,013,279,705,
164,275,149,991,491,772,313,308,448,142,313,809,521,754,822,215,555,606,756,
682,054,401,133,334,415,191,164,805,905,134,302,243,980,416,748,906,568,506,
196,409,328,618,960,831,151,243,042,138,044,739,667,896,622,364,861,550,580,
285,910,482,803,871,949,111,791,913,857,353,785,974,737,341,546,312,745,492,
373,621,905,689,599,473,436,205,382,876,576,969,369,253,406,207,095,339,350,
926,548,489,339,987,339,073,017,294,029,951,197,006,766,340,969,052,774,294,
745,543,731,042,873,938,252,837,800,928,078,767,126,353,146,064,180,425,023,
743,586,445,840,685,982,965,032,923,990,206,655,297,688,516,745,985,987,369,
067,076,119,506,766,397,662,508,397,814,836,376,281,513,302,877,488,045,547,
059,223,011,392,829,674,468,759,744,866,659,905,609,136,359,245,965,794,675,
922,777,855,820,125,773,694,844,247,444,562,195,787,516,074,507,171,027,055,
032,331,951,395,162,088,941,423,811,753,746,582,857,813,819,122,598,436,687,
398,937,760,036,117,887,632,587,026,990,258,767,401,707,630,148,896,788,407,
757,571,017,240,330,807,149,969,354,870,132,521,664,000,408,933,303,068,758,
248,735,626,255,707,376,454,570,878,872,537,182,165,722,992,029,380,905,251,
292,592,167,156,930,705,928,024,519,013,117,267,814,275,556,946,331,445,109,
753,801,957,597,640,878,671,670,561,770,105,059,685,652,087,000,096,780,611,
215,412,516,146,681,114,242,881,531,987,758,666,373,511,325,330,459,972,709,
803,018,789,426,780,606,316,037,286,929,874,246,664,567,055,316,006,453,893,
711,148,707,921,142,925,349,631,260,211,511,146,276,517,198,365,627,453,412,
918,814,161,423,510,201,854,874,445,962,324,442,677,900,966,931,246,207,439,
265,163,321,862,306,179,721,263,789,252,109,448,539,273,663,013,188,860,842,
173,627,788,597,526,046,213,129,011,645,568,619,436,349,658,235,931,515,972,
448,263,222,217,991,006,557,590,953,929,890,883,037,046,619,516,632,794,130,
535,603,043,159,133,512,808,797,778,284,690,979,012,233,514,026,368,173,809,
602,822,826,796,314,990,111,507,598,480,114,567,830,323,060,196,860,909,006,
639,820,139,012,971,572,678,818,583,202,058,885,293,684,823,130,222,886,553,
612,967,974,751,102,428,357,001,877,557,008,098,278,979,896,383,062,098,504,
467,192,293,354,242,483,834,737,403,597,856,095,098,905,777,487,144,255,939,
890,969,414,677,842,249,208,943,775,009,074,446,702,921,185,417,328,019,346,
427,329,864,316,948,179,127,335,317,207,538,762,349,041,588,680,566,457,439,
986,736,122,483,425,515,442,109,625,173,572,043,882,697,550,601,223,534,465,
931,844,446,005,653,846,639,174,870,701,229,414,678,334,157,509,126,497,961,
933,850,659,115,555,433,106,082,795,940,057,552,031,837,037,319,112,263,267,
405,869,413,842,329,668,324,673,626,520,019,343,544,993,207,370,469,047,793,
128,450,049,352,489,440,996,880,023,529,360,906,695,212,151,642,800,967,878,
642,368,520,208,108,227,425,929,142,365,427,125,896,228,383,328,571,010,163,
828,009,731,274,867,851,873,531,174,691,494,160,877,553,578,975,919,869,135,
627,163,407,884,198,131,057,835,800,159,178,837,434,810,548,672,858,392,880,
870,619,698,546,698,339,527,072,951,894,043,494,778,310,041,666,383,622,359,
850,351,108,091,375,350,877,244,335,223,425,969,401,505,397,816,383,863,945,
717,197,015,519,335,735,943,301,628,894,665,063,140,671,495,372,792,515,794,
729,124,418,834,391,592,438,768,766,403,146,049,427,866,498,580,772,042,789,
882,175,464,302,414,163,141,078,393,076,612,324,142,047,034,272,726,571,612,
340,790,682,377,906,822,508,666,947,062,743,435,840,020,561,897,590,982,099,
550,570,492,303,472,391,974,445,363,266,436,265,052,659,735,392,992,111,364,
613,398,036,376,484,161,505,356,430,038,397,804,603,394,353,331,006,911,331,
837,094,160,718,265,291,268,020,957,076,974,881,349,728,529,317,743,131,150,
109,411,128,544,205,713,052,797,263,421,146,769,733,739,105,634,345,224,830,
086,703,800,701,970,545,229,345,245,439,094,701,161,907,680,600,063,205,728,
596,646,725,461,444,714,603,050,257,111,879,564,580,058,398,608,715,821,317,
924,737,251,367,450,595,770,486,388,811,236,651,200,163,533,795,046,439,081,
070,229,038,220,686,309,474,772,014,936,462,305,735,802,452,006,023,439,200,
195,082,964,923,133,899,303,365,236,124,317,251,017,137,451,389,861,227,956,
280,936,611,820,735,352,451,055,999,750,365,502,396,372,931,428,370,187,032,
748,807,282,839,482,896,686,529,363,268,242,724,808,485,067,179,626,579,749,
623,713,323,654,849,981,695,584,452,661,986,673,918,088,552,927,755,471,807,
702,760,011,381,578,862,372,063,935,851,535,337,238,952,111,703,044,341,379,
197,819,996,463,170,979,650,582,088,751,034,669,833,803,170,117,203,054,513,
002,727,034,757,751,136,369,402,171,230,943,626,605,490,197,872,631,349,685,
820,630,333,640,631,990,213,135,463,982,802,971,441,943,211,498,757,468,968,
658,421,077,825,374,728,765,977,344,937,998,325,469,862,546,844,756,624,076,
158,823,141,836,136,602,659,532,450,942,454,055,490,982,226,446,776,293,555,
987,328,387,658,895,292,266,487,793,689,045,562,533,279,986,105,038,502,011,
310,235,290,989,915,913,315,653,870,817,024,907,012,585,394,426,499,055,029,
800,845,616,463,397,900,567,327,746,314,230,181,040,636,241,907,935,663,621,
425,564,872,492,814,207,782,851,558,588,260,810,834,109,019,319,990,170,461,
067,753,871,297,152,854,572,943,189,335,113,208,888,720,418,799,730,661,533,
908,452,382,716,450,549,342,294,535,566,211,961,686,287,623,529,500,082,044,
024,256,162,751,589,541,548,812,203,643,474,177,073,253,848,129,328,083,319,
625,232,550,672,266,138,060,190,023,902,948,818,926,231,676,900,827,697,544,
790,483,427,032,903,224,966,454,539,082,056,378,654,010,857,165,296,887,138,
542,688,828,627,918,188,598,828,773,778,469,393,302,011,409,161,439,952,388,
621,143,916,358,298,358,259,484,788,097,069,828,556,244,513,939,706,012,323,
816,863,751,922,276,004,541,971,975,034,267,685,024,811,369,891,542,121,538,
389,134,461,484,773,951,597,990,461,953,164,373,965,200,794,968,191,295,389,
242,540,364,457,569,894,780,127,986,782,575,272,028,423,131,953,834,932,631,
216,398,497,046,938,697,452,603,816,147,673,097,651,881,407,836,144,536,545,
660,194,478,541,813,503,235,162,175,197,424,977,949,950,762,047,993,018,901,
546,128,830,567,838,368,045,639,382,446,437,583,976,069,810,018,256,318,042,
398,161,452,270,398,237,394,772,507,115,503,723,028,708,559,048,679,508,751,
882,473,711,083,444,121,168,783,335,906,791,941,758,177,835,322,456,895,012,
174,690,046,227,464,398,791,068,568,609,063,780,433,805,734,431,636,099,761,
505,169,358,194,114,052,108,489,167,139,811,822,111,410,839,416,608,372,780,
881,753,274,605,243,626,258,756,912,181,731,740,358,264,083,250,211,193,138,
302,596,711,698,231,609,486,922,114,719,529,943,617,105,677,415,886,443,733,
951,771,491,081,573,349,119,728,253,882,988,915,676,782,393,028,899,174,178,
540,254,690,570,379,923,531,711,935,503,810,629,020,536,672,702,495,155,342,
927,749,283,135,184,455,494,660,917,834,904,009,874,016,325,476,747,257,547,
738,625,768,418,835,548,788,310,738,526,542,898,308,525,311,374,019,635,649,
631,936,139,920,269,468,655,168,724,447,249,032,552,583,369,156,717,392,583,
672,792,032,912,603,656,266,051,616,585,252,760,321,621,248,490,250,477,827,
617,320,892,233,518,170,860,394,315,444,546,854,291,719,192,264,844,082,871,
605,829,939,721,796,723,955,307,013,733,403,366,081,198,500,602,176,172,822,
008,183,722,699,733,284,355,025,226,880,197,372,602,238,997,879,058,190,879,
983,445,421,961,236,997,257,654,069,740,861,435,743,888,819,014,188,108,321,
569,494,218,789,576,289,529,208,444,937,076,245,476,856,738,887,789,111,638,
533,308,173,174,682,980,648,023,335,163,149,254,726,066,396,028,104,437,292,
884,546,085,284,130,476,388,883,293,787,343,892,598,064,741,693,452,086,001,
891,967,829,775,600,139,012,391,107,537,048,703,320,905,359,624,904,962,681,
993,507,610,016,744,158,543,862,633,053,181,543,995,287,322,803,822,764,688,
683,690,158,542,609,446,252,100,700,989,600,244,291,057,059,349,384,501,673,
444,867,951,796,688,793,115,363,273,196,417,713,232,580,271,608,705,252,960,
301,690,568,744,369,382,441,633,176,913,287,744,518,142,523,503,462,893,426,
998,679,912,660,654,715,425,634,625,973,276,010,476,964,983,676,080,396,394,
393,983,038,001,023,137,657,026,742,745,855,801,013,315,902,015,306,847,066,
916,272,866,435,333,389,032,526,446,449,367,417,689,983,837,720,305,453,162,
777,033,315,729,861,785,427,855,809,364,278,044,401,495,589,799,714,198,077,
432,482,731,021,896,064,702,021,113,314,971,854,380,927,369,380,890,008,456,
733,211,500,445,071,498,011,933,618,758,370,004,499,620,614,034,504,249,930,
169,260,587,044,823,626,466,965,015,777,999,882,341,620,373,110,096,522,745,
400,540,333,226,683,766,432,058,499,016,408,907,076,510,052,056,370,813,158,
807,673,694,538,974,863,440,845,058,270,969,312,789,522,019,038,750,800,113,
204,498,096,383,178,428,634,465,533,324,055,714,597,362,969,382,664,976,805,
570,383,429,190,952,281,503,033,641,454,284,031,455,460,396,834,607,013,826,
659,791,651,674,030,610,569,555,628,811,461,685,886,874,975,806,465,887,718,
223,984,363,208,854,246,645,883,286,080,885,806,004,260,790,826,527,826,291,
558,957,917,306,012,642,824,281,676,098,299,720,062,149,657,056,024,441,149,
181,987,964,835,236,873,671,410,530,738,288,300,978,078,276,340,497,061,765,
937,738,253,230,795,921,258,713,894,890,593,726,225,848,029,495,097,988,906,
619,772,900,915,514,513,216,062,289,052,278,851,914,564,260,329,865,085,787,
433,599,357,792,510,492,122,019,087,831,085,325,959,033,377,804,762,871,274,
673,840,985,144,592,889,896,227,363,822,106,916,833,207,156,628,573,334,431,
988,651,238,577,052,634,142,858,301,477,848,312,949,306,282,728,533,241,086,
460,170,054,424,621,613,839,084,993,615,025,842,184,914,735,110,426,593,159,
455,654,830,196,383,706,008,255,505,404,051,730,832,925,519,610,898,995,554,
858,303,468,226,645,430,688,593,858,159,089,878,140,927,294,562,053,112,086,
190,325,461,524,373,712,217,750,237,102,575,709,686,351,065,580,901,381,483,
810,809,719,839,518,082,792,377,241,135,856,970,875,508,594,858,096,766,691,
930,805,133,627,791,278,417,270,700,542,775,151,510,654,058,072,222,785,999,
421,007,664,349,936,032,001,897,399,045,103,492,345,363,575,002,307,831,574,
428,472,812,334,651,777,033,883,559,402,648,525,964,034,326,491,837,455,053,
737,715,641,334,875,718,895,663,935,530,876,914,081,324,103,662,563,108,688,
539,312,805,131,795,962,662,627,090,122,333,751,054,040,573,960,689,327,122,
616,182,400,909,885,858,359,934,550,576,967,030,097,486,021,538,918,930,837,
918,263,585,052,976,573,650,940,363,047,149,912,567,306,311,302,666,908,387,
516,472,888,675,616,851,082,788,951,918,886,371,360,479,465,424,615,149,784,
551,631,477,561,223,330,259,124,236,688,152,123,376,041,147,158,465,615,006,
813,998,975,003,477,639,450,773,615,880,939,676,200,568,731,072,588,318,479,
561,993,551,693,468,666,973,369,740,807,641,560,829,867,095,622,361,727,898,
638,652,216,821,006,625,181,254,998,435,611,463,715,702,102,224,591,680,368,
974,666,645,507,712,736,905,829,318,164,300,319,425,866,279,949,077,194,878,
710,816,653,366,785,482,443,727,411,655,993,907,261,626,492,665,333,160,833,
570,119,441,096,684,279,546,349,072,505,957,001,602,455,308,487,710,602,845,
912,040,174,796,636,562,747,021,723,151,197,139,141,836,771,944,868,590,343,
167,751,199,442,628,640,220,239,208,001,839,672,122,932,737,424,497,802,233,
007,753,039,568,830,291,725,209,861,629,018,763,041,064,643,538,634,512,183,
526,189,875,688,591,703,205,805,190,703,139,354,590,962,997,628,026,744,166,
495,225,807,593,327,596,772,031,388,561,316,748,569,444,300,076,046,540,505,
389,614,492,191,675,931,461,250,949,571,902,917,462,880,779,783,006,606,378,
494,609,303,769,882,913,810,774,666,923,576,780,108,986,465,520,761,067,948,
816,657,246,851,987,207,394,041,294,084,183,105,303,335,329,187,277,917,214,
296,952,204,265,503,467,348,988,638,255,305,118,839,979,729,736,118,781,027,
877,892,022,520,873,939,452,250,558,818,593,695,842,494,162,515,576,871,729,
854,167,324,720,541,036,591,566,857,301,619,943,601,285,925,229,982,473,126,
205,485,320,057,540,145,308,564,073,619,421,367,329,739,964,747,426,896,559,
282,788,364,695,412,384,373,434,450,416,092,352,530,525,386,858,344,300,557,
166,035,525,597,757,240,929,604,178,230,498,568,926,719,359,203,190,189,144,
434,974,609,859,580,397,798,665,910,017,376,210,781,670,590,463,891,343,373,
963,007,095,739,800,758,723,399,619,694,392,590,210,353,015,012,325,338,372,
791,365,303,125,895,491,179,050,902,757,895,456,906,808,433,343,756,515,796,
642,592,000,387,613,138,499,508,221,741,529,267,687,039,273,395,527,516,193,
250,914,708,583,829,690,504,788,812,317,075,691,718,537,872,729,953,827,309,
094,485,204,508,102,604,033,504,051,152,763,941,983,021,021,071,896,032,333,
130,964,144,197,108,765,184,625,478,509,356,724,577,911,115,479,786,704,653,
152,271,833,048,579,504,294,223,757,461,655,833,038,160,737,019,468,711,784,
833,554,717,234,151,982,842,577,274,818,472,369,883,606,168,986,646,816,626,
839,736,801,634,807,876,409,550,501,868,371,264,562,300,121,910,945,091,262,
509,060,186,212,905,782,890,526,350,645,819,189,867,114,908,033,895,113,098,
012,242,449,843,935,812,515,034,411,008,946,350,974,694,509,512,743,210,736,
811,143,132,847,135,042,026,233,877,222,378,211,024,960,958,453,265,213,878,
384,902,533,312,210,226,118,698,248,073,694,086,234,775,746,939,316,703,603,
314,482,453,799,662,928,037,162,741,786,688,177,898,210,463,727,248,585,159,
558,620,580,971,885,832,409,758,114,041,067,840,210,821,922,736,709,181,723,
567,707,570,185,463,754,961,240,542,186,518,226,233,946,705,625,104,430,649,
511,315,543,560,309,459,725,710,183,949,898,625,464,208,410,635,424,909,683,
981,479,308,029,894,910,502,311,894,374,272,923,233,919,354,189,520,004,368,
294,621,174,353,322,975,428,603,392,578,075,588,624,347,662,873,252,018,122,
206,437,358,687,121,195,120,915,256,650,030,858,599,213,338,560,176,902,269,
088,572,106,641,282,091,845,147,951,521,453,889,701,208,280,899,297,229,210,
269,149,233,638,758,523,175,987,869,139,814,912,172,885,240,256,441,912,089,
559,910,637,750,624,841,548,169,566,007,945,973,549,047,560,835,472,888,694,
013,443,306,214,555,871,627,733,657,142,951,226,016,253,004,631,169,096,167,
793,337,847,996,726,472,736,649,934,395,768,324,978,955,719,079,391,188,948,
127,307,080,886,206,983,474,339,587,357,644,814,433,227,670,989,003,066,386,
583,815,728,739,106,496,807,510,674,360,935,449,693,474,397,023,249,846,462,
836,353,758,926,398,601,568,502,839,601,659,560,613,541,919,374,150,006,794,
821,985,076,748,740,859,847,377,685,789,668,027,042,721,845,333,375,782,464,
122,394,989,023,540,851,241,634,708,425,739,312,626,921,609,401,630,403,706,
165,648,310,423,650,437,903,913,248,805,512,202,821,945,928,353,242,117,705,
002,169,316,904,896,521,789,204,109,332,890,552,073,769,500,961,610,361,625,
960,010,131,600,271,321,259,056,055,818,980,001,611,500,368,300,726,391,773,
135,056,343,385,254,368,429,491,265,271,952,260,547,422,866,844,213,651,487,
737,661,500,555,655,163,565,805,054,249,379,239,502,950,582,552,490,868,904,
145,642,791,923,120,617,887,527,880,593,966,064,809,678,281,093,576,803,850,
873,471,112,930,771,698,304,587,487,573,921,592,159,065,865,409,353,459,433,
646,648,100,916,030,396,497,121,261,429,731,698,419,205,115,932,978,370,050,
216,376,235,033,913,403,640,759,523,567,731,464,421,612,665,194,724,763,226,
484,689,676,052,727,202,770,874,625,817,492,205,643,367,322,705,692,349,116,
072,498,514,493,558,484,358,453,375,592,488,040,203,594,117,043,821,611,028,
159,696,552,126,898,921,943,496,179,475,902,134,483,886,086,768,771,048,418,
379,304,137,993,291,995,600,145,681,322,442,642,660,974,473,032,101,342,813,
538,652,344,484,900,983,570,884,220,503,777,827,576,192,663,447,521,129,294,
239,395,615,972,764,214,957,554,968,942,446,150,412,841,260,235,425,320,974,
258,887,641,727,175,947,259,487,925,103,259,445,624,053,078,092,672,312,843,
665,679,593,185,075,708,625,875,095,910,926,773,564,254,049,713,357,407,333,
381,624,910,669,562,015,765,935,153,514,677,519,802,716,672,847,133,080,057,
196,634,863,606,111,173,976,184,404,256,159,844,141,027,218,986,411,598,589,
723,761,533,096,335,570,683,425,577,753,469,660,856,833,723,133,417,654,037,
697,711,526,646,601,028,807,289,885,463,794,891,946,254,633,698,167,279,084,
372,150,729,909,105,061,612,062,752,732,024,184,707,438,029,988,734,626,094,
696,860,809,365,192,738,497,468,435,716,499,885,113,169,946,441,346,680,818,
000,144,894,857,196,592,039,085,624,470,387,011,823,402,359,414,093,357,516,
719,822,246,256,559,612,568,672,184,629,928,611,783,276,175,938,811,024,658,
625,673,760,056,759,895,975,183,349,946,370,620,385,032,489,410,704,872,437,
850,058,668,176,573,360,754,343,158,730,845,658,951,509,357,647,272,213,948,
426,870,696,106,563,275,908,978,950,050,544,997,654,318,256,490,008,534,550,
574,454,677,433,955,481,460,909,552,129,055,975,483,786,133,923,633,088,536,
391,223,781,184,099,562,212,267,621,386,623,274,527,978,560,148,390,312,713,
167,913,190,151,423,992,556,135,740,453,483,963,326,225,907,781,297,077,489,
412,398,821,398,428,454,982,093,156,300,687,322,713,145,961,737,360,849,700,
905,020,311,987,464,389,889,554,395,252,823,236,829,842,475,904,856,230,390,
756,178,816,370,007,372,754,232,449,875,498,759,924,511,840,286,785,511,189,
688,701,015,149,588,453,111,343,492,956,319,807,127,775,384,320,136,444,604,
576,011,905,309,911,082,315,159,185,412,767,946,452,608,653,800,631,728,359,
174,743,418,459,333,832,326,523,722,798,925,328,375,804,190,093,464,828,461,
205,937,421,142,674,573,854,496,042,937,107,693,003,684,637,379,144,247,119,
292,846,707,536,737,482,701,924,143,160,477,604,519,393,236,449,319,937,199,
667,196,181,677,809,393,966,575,581,532,007,242,743,079,759,180,809,450,736,
876,181,666,473,095,938,253,540,577,269,989,018,060,193,406,139,841,951,888,
839,371,103,663,342,544,693,995,734,411,669,856,177,318,428,230,213,729,302,
894,983,935,911,265,443,920,188,695,083,333,619,497,268,428,229,616,469,753,
961,416,151,843,084,227,906,990,985,074,242,232,146,123,989,364,409,476,337,
910,177,205,336,828,377,567,078,018,905,354,065,735,772,292,707,789,765,713,
403,697,803,723,888,016,995,470,779,524,185,787,321,258,557,723,524,377,393,
447,586,864,801,597,661,640,334,851,626,776,079,043,058,179,148,554,474,250,
395,102,085,852,064,590,170,469,917,665,983,761,684,191,875,079,386,116,565,
876,580,826,802,164,669,165,993,838,878,967,760,760,711,371,837,813,697,277,
559,022,000,488,792,071,266,583,741,164,852,818,189,344,863,303,155,052,179,
428,958,021,095,870,918,238,569,024,058,038,209,704,433,703,578,323,855,479,
541,654,716,886,738,875,153,457,699,706,846,067,312,652,013,508,479,095,577,
694,751,533,412,382,562,787,807,454,733,125,891,532,639,328,228,760,799,005,
675,211,598,916,611,451,643,376,456,545,472,421,163,211,962,357,880,114,808,
691,680,978,808,267,576,261,320,589,306,093,051,771,382,029,424,912,342,658,
740,823,017,285,001,043,235,759,065,353,056,351,032,447,147,510,096,300,513,
504,314,883,905,349,541,183,943,445,947,851,270,674,474,970,415,493,648,417,
738,350,924,254,506,209,965,983,830,095,781,651,731,335,039,031,039,547,624,
044,268,587,642,544,256,256,937,110,697,870,470,958,012,041,832,064,444,072,
189,763,178,815,859,682,084,243,881,049,454,647,291,736,562,319,180,564,847,
679,898,713,014,447,606,539,618,502,045,025,658,751,529,154,139,056,258,649,
101,351,544,378,873,031,347,749,732,562,531,855,969,986,210,579,059,671,533,
932,061,376,714,435,558,464,291,460,053,415,023,712,859,545,917,284,744,098,
145,319,662,238,730,238,269,321,033,204,678,379,901,861,035,756,007,357,774,
565,093,281,123,100,830,106,810,684,686,178,907,911,049,745,345,475,717,803,
376,115,582,543,604,565,604,030,904,200,024,428,154,584,630,533,989,881,945,
689,381,113,628,887,892,076,914,253,344,554,835,353,021,316,608,484,690,073,
332,783,172,993,182,444,196,816,881,988,519,600,750,419,786,537,741,975,122,
881,760,784,759,176,135,441,025,495,886,245,196,220,813,075,656,039,035,263,
627,531,021,207,561,383,485,774,570,157,280,286,527,934,932,472,856,208,616,
574,675,820,045,502,813,567,736,532,504,371,603,780,016,006,020,566,990,756,
292,230,802,631,165,106,788,055,463,585,069,160,230,043,337,233,990,319,461,
243,241,695,059,204,280,689,569,541,005,142,044,710,409,503,598,257,915,373,
484,886,897,203,938,189,896,234,614,918,992,671,542,335,728,136,285,520,149,
135,334,339,788,153,849,665,186,900,073,880,848,065,112,667,589,507,284,628,
034,365,016,127,375,679,759,203,583,299,532,371,244,337,090,624,655,255,946,
543,636,717,583,559,185,346,324,238,148,851,065,507,576,551,120,595,546,144,
723,922,742,771,596,132,135,773,463,317,417,693,882,774,550,223,739,014,149,
238,496,090,283,192,516,813,417,762,818,151,179,660,967,280,557,726,975,192,
087,437,552,473,502,608,632,234,766,775,341,506,956,424,711,769,568,262,068,
222,807,823,323,700,660,998,426,572,305,380,792,708,722,891,855,876,339,580,
230,124,113,248,110,638,109,592,884,942,285,036,440,325,958,251,807,534,204,
448,443,293,047,880,473,254,272,092,952,974,548,952,054,644,400,982,278,821,
919,599,416,592,272,311,833,486,250,870,850,573,146,522,619,566,662,395,274,
130,925,952,023,329,350,404,392,306,853,927,662,107,516,148,765,097,950,697,
499,910,512,564,988,877,808,322,951,945,179,641,062,283,260,159,419,665,391,
968,969,536,906,014,018,795,262,886,964,787,270,333,231,727,466,455,845,864,
956,147,580,099,666,394,096,201,449,595,215,946,561,601,677,327,422,347,829,
070,768,625,368,195,294,777,680,568,578,575,663,957,210,472,753,132,755,202,
501,862,959,248,550,163,974,590,167,579,126,295,016,370,168,597,050,191,530,
492,788,021,958,594,310,607,746,044,180,571,221,909,860,274,177,275,649,393,
838,770,616,508,344,177,211,247,263,387,088,102,381,871,486,962,390,053,371,
520,997,287,760,112,367,233,423,203,631,764,601,688,854,933,114,653,343,755,
224,079,036,326,825,592,737,943,108,350,403,247,056,376,501,709,495,467,442,
569,347,576,597,095,920,640,291,711,855,236,616,235,818,590,145,462,574,731,
008,617,876,499,148,833,053,966,062,328,906,595,248,543,753,631,498,068,898,
558,195,131,867,665,795,803,324,206,606,198,258,124,884,120,184,762,836,558,
023,849,874,977,095,938,072,537,863,739,133,741,107,124,484,202,750,077,911,
104,324,690,572,291,066,160,193,770,431,229,082,134,348,417,887,474,568,902,
231,687,097,921,911,008,384,244,081,471,961,296,041,078,220,561,427,425,995,
500,968,688,161,380,118,370,128,176,146,422,251,543,384,074,873,794,520,725,
852,876,561,262,710,026,925,048,149,932,579,873,134,345,105,972,740,107,076,
555,969,353,099,492,668,302,534,980,806,533,657,234,986,287,507,213,008,395,
332,625,150,380,080,840,922,797,513,218,579,930,361,444,869,696,864,047,545,
038,538,348,743,739,927,647,592,389,616,545,366,032,883,157,807,282,684,344,
308,750,528,234,645,400,575,344,066,595,158,705,297,068,737,763,748,013,313,
747,892,670,559,980,890,293,789,440,431,243,449,124,460,407,693,223,421,113,
388,942,631,677,884,193,020,755,724,441,193,630,516,116,976,046,314,215,509,
087,220,171,518,927,323,525,155,007,521,232,451,003,873,890,552,334,478,329,
439,393,730,740,117,609,681,030,111,435,784,121,927,298,824,839,794,387,654,
650,361,440,343,576,381,885,923,075,025,927,828,181,972,103,266,721,390,478,
097,361,354,299,141,782,013,212,380,086,934,269,049,697,258,925,796,740,413,
592,040,374,251,904,944,814,753,202,712,626,785,741,020,207,735,120,576,286,
751,469,757,537,081,756,550,249,296,268,826,579,594,475,834,171,164,068,373,
807,578,951,182,154,245,629,985,155,452,793,611,792,473,296,687,278,952,642,
575,554,135,519,292,026,656,441,097,429,651,419,290,884,933,050,973,862,615,
926,398,671,561,417,129,733,570,980,716,888,133,967,529,793,133,870,919,334,
697,445,772,090,738,554,494,213,153,900,931,294,896,038,966,555,032,912,427,
036,579,338,602,073,444,433,438,041,582,616,461,802,375,061,159,861,876,348,
437,609,206,173,037,491,372,332,144,952,143,995,751,867,142,386,172,099,762,
836,874,561,228,519,392,374,085,814,912,795,656,576,447,636,654,563,445,382,
511,959,531,498,866,481,229,275,951,769,008,890,025,461,811,811,426,593,115,
766,850,937,024,934,407,536,962,745,856,848,729,350,887,187,905,170,104,619,
816,988,436,404,888,864,689,504,840,919,765,280,927,723,618,965,717,794,453,
060,720,950,088,906,601,034,276,072,168,837,737,891,678,765,320,184,185,893,
810,340,511,914,368,247,894,918,838,742,003,364,301,004,644,188,824,469,115,
626,715,938,058,794,488,020,388,668,185,350,353,426,974,253,275,947,610,707,
772,488,845,962,831,171,760,591,912,587,264,777,122,299,983,047,274,522,698,
962,313,871,839,560,642,573,987,459,270,689,138,343,095,551,982,284,041,627,
399,877,082,487,157,918,368,751,194,628,931,098,056,477,477,187,327,371,874,
539,555,992,436,942,647,528,627,967,286,276,063,456,219,079,598,213,298,212,
730,942,876,519,930,444,171,907,158,309,532,036,446,359,072,627,994,978,424,
273,083,895,534,999,152,530,368,341,921,084,439,201,694,967,829,387,752,466,
038,696,222,752,178,735,473,012,511,081,468,907,619,644,993,051,207,752,547,
506,364,341,362,732,106,423,629,070,272,065,867,804,462,410,303,462,837,719,
238,371,556,227,412,649,670,360,649,307,775,554,890,426,324,355,801,108,545,
747,041,759,353,198,341,238,098,045,973,266,551,469,456,163,636,930,373,936,
689,844,258,723,088,112,092,418,809,440,895,288,080,685,545,131,593,578,783,
292,086,996,377,273,862,353,987,826,999,931,354,418,120,143,751,817,031,849,
394,139,461,802,483,923,696,264,493,424,207,441,539,679,423,878,367,769,858,
645,885,343,469,690,471,956,692,616,178,770,411,762,655,295,786,530,406,857,
855,211,110,732,774,517,886,967,201,057,761,875,503,682,489,109,409,740,746,
378,282,006,414,837,114,234,571,839,382,376,071,401,984,360,755,363,762,596,
815,942,693,878,605,338,130,308,326,541,442,265,960,112,273,517,230,859,882,
291,666,737,473,120,339,938,837,943,217,589,753,657,977,203,041,389,547,822,
189,133,991,363,295,598,121,659,770,337,258,722,807,921,562,667,064,614,540,
678,036,424,865,639,433,797,433,727,415,342,049,380,646,460,424,185,578,063,
984,279,739,553,106,793,593,116,294,244,920,378,552,714,273,751,522,392,710,
287,209,901,260,721,459,254,227,591,688,754,915,921,542,638,807,696,776,513,
781,000,907,682,090,236,375,534,656,020,473,910,071,354,261,267,173,028,132,
207,579,905,014,721,344,567,932,715,820,898,088,111,838,235,600,132,566,887,
326,999,670,971,667,770,166,847,021,818,989,050,085,554,395,290,851,336,909,
177,645,947,810,562,335,149,905,510,881,741,734,829,674,329,059,787,168,391,
021,530,697,437,577,972,706,947,463,756,719,425,486,749,351,617,831,799,269,
570,302,755,348,654,324,029,906,390,943,993,827,433,229,159,340,710,592,970,
996,583,665,394,543,026,008,214,430,020,387,666,481,239,535,452,152,522,110,
880,429,292,421,968,542,417,756,848,124,230,544,586,749,132,134,286,512,070,
432,509,439,091,204,680,090,304,457,076,526,772,679,226,623,367,006,683,767,
306,318,334,373,917,979,700,434,156,358,663,998,776,443,121,108,445,791,742,
585,570,500,546,847,438,449,982,350,098,808,280,879,037,565,929,318,270,472,
776,727,356,950,786,481,489,883,190,248,282,625,371,242,483,049,863,569,398,
992,141,108,527,137,980,378,377,728,536,560,017,429,536,933,909,267,894,064,
581,674,740,627,037,019,211,452,436,504,320,308,304,104,627,414,256,057,928,
628,216,712,526,625,198,871,426,511,156,108,620,801,815,095,924,025,220,359,
530,777,823,418,447,509,089,081,483,011,331,624,656,072,797,319,712,154,161,
012,123,750,398,905,479,397,040,694,542,415,214,020,117,478,940,875,856,069,
550,459,237,827,132,214,497,398,107,071,237,076,937,739,157,784,490,096,128,
692,496,541,299,983,935,826,492,953,430,270,880,474,276,477,586,498,746,019,
887,187,763,857,709,306,579,126,019,339,247,296,134,306,397,655,977,248,281,
699,036,888,457,498,673,394,642,698,898,351,419,650,451,173,743,371,606,478,
215,317,707,972,104,688,553,383,538,806,479,121,945,581,881,968,427,213,724,
590,449,198,112,238,197,169,477,236,097,354,417,074,181,667,732,600,767,832,
033,621,543,530,529,957,871,719,267,191,260,803,825,003,111,168,431,257,042,
750,711,686,509,503,451,561,182,723,162,933,001,447,116,042,559,217,182,297,
944,451,779,739,805,897,908,754,725,149,649,143,280,393,975,892,759,995,587,
238,487,342,751,695,839,696,705,027,550,771,578,944,827,905,306,845,514,541,
501,051,254,638,229,331,822,849,075,222,759,052,340,658,435,361,592,470,364,
443,394,674,186,671,621,405,850,937,135,295,618,484,528,868,272,888,577,939,
303,382,927,552,497,755,040,794,582,458,999,356,131,612,063,894,825,319,590,
961,866,275,825,907,544,076,044,063,616,117,266,697,087,909,402,120,159,951,
517,908,974,926,672,471,990,780,942,750,584,752,103,566,968,843,741,950,195,
565,742,125,941,802,816,618,839,035,798,398,586,609,562,895,181,198,089,270,
421,693,657,738,223,235,530,455,802,969,190,986,603,285,368,673,242,720,189,
669,792,259,005,171,915,246,845,327,200,620,558,666,889,820,215,562,239,134,
785,876,436,835,210,380,681,187,384,316,763,289,865,913,894,500,446,110,827,
110,449,196,740,287,751,940,981,397,441,632,564,784,755,268,904,241,847,166,
809,483,361,663,040,476,464,970,443,753,648,691,530,600,768,165,726,754,248,
196,486,225,863,261,163,769,289,529,498,098,029,936,483,671,981,147,272,383,
298,747,050,350,100,694,676,784,728,238,782,144,294,905,214,352,509,879,762,
413,044,906,089,083,132,257,031,518,252,959,571,618,467,946,034,462,026,900,
686,824,376,524,573,940,108,812,626,543,923,944,173,696,699,566,556,962,152,
119,862,743,189,680,264,748,553,755,647,274,595,357,391,892,603,172,804,571,
961,503,154,033,064,595,591,942,317,619,572,127,768,025,811,035,693,400,723,
408,475,865,662,198,896,940,605,590,017,751,367,048,062,309,304,752,700,312,
300,556,272,220,166,817,457,198,370,697,420,418,392,666,241,505,706,020,462,
110,623,671,102,461,883,040,851,160,110,867,941,284,070,447,479,220,250,676,
333,084,632,653,905,501,758,996,852,519,885,469,058,831,244,789,065,006,274,
749,026,628,850,895,562,793,505,603,624,268,126,494,341,862,869,856,108,883,
562,150,453,838,273,561,000,619,648,079,282,805,670,609,792,581,253,475,635,
971,619,882,830,333,525,405,250,392,812,080,255,799,393,014,553,632,177,108,
961,735,818,767,354,441,548,660,303,685,217,457,750,724,554,495,357,540,284,
492,348,397,804,054,830,736,341,400,591,361,633,116,556,177,378,984,751,522,
811,780,589,825,761,997,324,254,487,712,408,996,178,987,390,285,593,521,052,
191,956,025,068,009,179,683,720,609,760,602,297,828,592,122,216,813,407,072,
352,609,634,743,948,234,797,220,725,272,520,084,199,078,151,451,947,610,166,
739,462,048,972,009,457,092,308,812,894,144,187,906,447,701,731,521,434,094,
391,023,896,559,752,685,643,777,664,042,899,354,788,825,489,209,124,219,078,
311,885,683,768,503,277,624,810,039,112,323,713,213,491,793,835,471,487,185,
771,112,461,923,567,029,576,279,341,615,009,012,720,492,455,501,976,296,842,
005,627,568,924,689,760,247,985,274,081,616,005,798,439,718,101,507,717,021,
218,842,619,913,668,011,678,160,503,804,342,860,989,089,828,946,382,154,321,
282,463,631,144,860,703,610,321,761,769,121,794,750,827,765,068,755,907,702,
920,507,229,159,803,589,138,234,934,102,027,199,129,728,063,975,755,779,368,
580,837,055,814,930,996,309,180,104,505,744,190,568,993,411,563,497,904,387,
226,199,974,294,466,818,230,121,055,277,387,577,184,208,352,257,707,845,959,
062,745,844,559,027,647,863,055,994,882,864,832,896,200,192,980,294,553,830,
380,185,448,988,427,697,974,525,552,024,979,318,985,441,537,198,376,374,365,
356,466,341,955,105,099,105,962,602,665,212,961,863,486,123,347,929,371,556,
829,863,589,805,906,997,627,748,333,349,844,083,311,921,684,156,632,494,075,
481,084,872,853,602,895,541,000,668,676,632,329,038,714,229,983,953,821,903,
250,431,105,726,064,461,386,811,569,217,191,247,302,791,614,685,706,311,494,
803,780,456,144,906,568,947,272,958,684,505,630,949,383,356,057,529,376,145,
264,363,423,709,213,472,308,002,822,595,863,677,990,904,028,554,969,822,725,
980,399,618,198,296,166,615,608,088,219,003,520,507,327,284,226,135,027,892,
993,149,317,315,119,523,127,582,685,435,331,597,690,687,155,618,714,542,158,
647,125,535,082,781,247,511,333,280,305,300,319,102,551,854,866,834,088,190,
841,306,301,171,814,417,744,360,979,352,181,792,881,127,088,400,696,017,598,
503,114,215,018,682,981,050,736,601,638,807,126,292,759,923,743,515,977,522,
629,834,003,350,136,214,941,887,151,817,206,711,544,159,486,991,161,835,748,
425,598,379,581,419,666,481,899,151,995,482,913,447,891,211,958,985,561,727,
728,863,724,803,666,573,260,240,494,305,781,196,951,708,420,978,632,004,595,
619,975,716,137,990,574,625,503,563,308,188,719,962,649,156,247,310,894,070,
600,712,557,694,494,427,400,041,735,165,616,144,424,876,186,216,823,160,338,
382,752,527,621,635,466,043,017,702,532,432,243,225,076,588,586,089,921,518,
460,864,319,858,330,930,128,578,520,137,624,923,622,082,566,916,170,162,505,
183,585,080,982,620,027,845,614,246,993,188,824,784,981,152,582,481,789,891,
304,175,365,926,049,952,682,761,616,379,876,496,919,744,155,825,044,262,474,
185,075,361,927,678,548,249,825,932,574,467,751,101,952,968,724,839,930,884,
172,719,918,461,105,907,395,301,598,470,530,586,944,422,751,666,606,416,982,
071,535,630,157,969,281,635,986,329,030,234,923,788,921,598,422,855,156,395,
599,614,724,801,376,329,341,783,289,438,394,007,461,328,688,624,436,167,911,
959,069,994,021,415,802,022,562,875,343,503,085,329,750,052,377,526,387,228,
000,007,281,567,584,808,693,381,173,253,326,877,366,262,359,061,515,331,687,
249,351,246,255,493,177,122,413,636,392,529,004,723,872,632,055,463,173,573,
226,701,260,157,648,809,237,020,294,600,891,108,630,350,168,650,274,657,803,
558,398,822,841,478,563,804,030,130,063,798,153,177,853,852,324,936,423,115,
398,325,333,613,000,658,791,208,287,415,039,960,701,270,538,883,878,349,438,
946,471,090,195,580,297,817,971,977,377,955,800,014,397,051,558,020,002,453,
271,883,930,638,837,353,334,288,769,944,292,826,107,246,200,423,286,484,171,
558,499,915,358,091,460,126,425,513,579,367,586,627,468,120,814,646,236,148,
493,924,390,810,180,402,749,138,370,783,598,664,833,519,165,166,314,338,540,
884,024,015,260,234,225,883,868,481,149,306,860,725,525,665,646,340,120,424,
180,916,529,730,518,424,404,566,497,856,059,902,492,466,636,000,532,119,821,
421,977,896,835,572,019,409,511,100,639,178,853,384,292,378,985,310,739,179,
055,040,076,122,780,650,987,163,909,065,849,269,647,908,692,197,990,343,702,
694,352,033,299,023,539,968,659,092,978,493,946,959,082,541,207,556,527,716,
089,714,834,144,123,651,888,951,114,821,050,134,484,963,168,165,086,511,938,
170,944,076,933,550,812,528,163,577,483,329,285,394,399,872,400,590,360,331,
957,572,527,752,453,381,542,645,560,479,555,699,653,161,941,478,434,843,114,
473,998,700,695,637,586,443,957,958,377,742,095,943,911,666,298,471,792,844,
671,525,017,278,162,845,461,565,040,670,135,274,624,774,510,486,672,927,563,
905,435,053,360,096,190,813,520,255,548,197,995,274,341,100,586,515,556,780,
585,693,192,897,862,679,609,923,198,547,580,678,810,072,670,307,265,744,961,
120,498,648,781,164,790,473,090,928,796,901,859,960,055,992,046,294,124,064,
243,385,075,358,734,593,696,377,432,398,462,738,138,855,051,140,416,918,543,
362,613,973,519,987,848,698,651,311,005,470,921,640,402,471,073,930,762,735,
153,374,768,348,662,080,839,162,185,547,697,995,077,812,518,120,217,377,106,
164,155,180,565,716,702,037,126,236,287,241,485,272,065,090,892,816,278,740,
090,085,556,471,812,866,239,026,850,121,154,205,818,974,346,254,390,930,294,
404,917,523,099,327,168,381,715,378,380,236,730,892,646,521,741,977,135,726,
337,362,964,670,922,233,683,645,882,903,781,000,235,252,065,911,748,356,444,
135,629,663,818,200,727,601,852,146,706,956,873,642,583,427,313,403,912,638,
557,804,984,201,597,777,520,041,689,996,783,327,909,599,775,819,646,331,260,
294,887,775,559,604,615,510,022,268,097,153,898,440,912,739,686,240,511,359,
705,576,849,314,351,074,641,137,436,010,170,611,773,274,179,182,170,531,860,
407,331,154,146,621,138,091,947,521,733,310,251,845,141,371,367,208,106,630,
707,625,885,390,040,037,028,645,318,719,755,459,648,730,537,427,996,056,818,
167,577,446,063,417,836,706,571,894,109,865,124,393,538,708,194,259,694,971,
865,960,563,357,755,886,752,065,131,732,622,557,901,273,472,254,454,835,732,
637,518,958,150,636,813,570,970,920,006,767,243,529,570,214,393,400,162,373,
271,359,803,075,166,441,038,972,031,059,462,817,783,705,708,320,015,985,755,
985,109,045,366,788,940,039,765,838,789,702,492,412,883,419,518,479,603,670,
432,724,677,393,538,581,965,566,728,420,494,073,158,434,539,203,675,506,725,
445,461,323,417,250,246,846,371,584,411,275,112,773,780,337,575,238,159,169,
099,677,238,498,663,650,841,390,597,795,938,260,717,256,867,724,713,783,368,
074,072,548,201,819,705,614,559,378,287,182,361,545,895,264,266,825,675,067,
214,680,720,406,490,238,172,681,614,279,964,310,751,267,020,924,484,207,063,
733,080,186,350,421,383,473,738,773,786,017,326,825,054,735,374,938,416,381,
969,651,092,880,394,755,653,463,673,142,222,231,971,081,182,985,387,712,752,
436,052,381,922,468,901,152,954,400,433,205,867,704,205,219,029,943,874,472,
860,348,223,824,905,017,742,483,594,613,260,882,851,420,919,915,282,202,073,
916,274,934,600,018,132,777,709,234,080,687,504,932,009,136,354,190,229,024,
857,059,690,726,232,637,356,620,531,820,831,582,526,877,278,037,473,744,955,
559,416,734,308,095,176,776,074,946,557,734,797,590,926,055,700,702,035,409,
320,864,323,949,651,355,389,239,277,919,642,917,072,489,334,436,628,013,212,
231,821,511,737,712,425,978,760,998,245,250,485,815,567,336,236,032,447,817,
063,047,137,950,135,515,737,355,440,891,978,303,418,774,420,398,611,823,116,
686,382,837,499,442,517,594,913,576,062,516,628,691,529,854,799,447,152,178,
102,258,426,852,887,441,911,602,316,821,667,843,619,214,399,187,598,367,183,
517,905,292,346,169,299,556,398,666,390,136,873,491,156,400,566,785,590,762,
800,416,056,585,617,998,244,595,711,846,013,324,654,501,660,754,273,067,992,
532,239,545,145,056,869,640,520,592,107,391,088,098,142,146,495,821,906,048,
823,120,528,287,571,446,447,652,735,143,073,112,513,641,798,728,169,532,726,
415,250,140,797,621,885,357,895,361,075,045,426,995,059,970,333,118,331,064,
871,505,958,785,094,280,202,543,937,539,438,989,569,394,372,837,478,590,902,
646,108,820,366,946,805,058,459,052,046,042,216,998,983,903,942,923,581,869,
165,962,920,665,226,147,542,611,279,527,638,137,716,850,413,663,723,383,631,
538,666,464,526,086,614,319,418,931,810,423,930,465,306,628,505,477,899,275,
703,593,484,716,737,835,237,979,677,529,395,314,220,431,172,576,106,851,730,
950,882,349,675,870,799,032,615,672,835,140,123,081,525,970,068,898,275,373,
931,112,977,069,395,087,433,332,074,394,700,825,582,278,539,560,544,056,217,
906,510,928,427,790,678,773,891,620,671,655,841,703,106,283,063,205,276,566,
690,098,555,789,777,232,275,770,120,892,253,459,897,696,338,974,357,917,875,
620,661,105,074,530,488,392,265,162,563,888,490,666,250,999,398,151,259,914,
413,423,181,355,016,036,916,257,868,763,713,357,451,236,320,190,475,162,019,
224,471,209,256,218,917,551,435,515,611,371,912,801,291,498,791,791,231,029,
693,299,937,885,054,369,901,352,253,563,810,404,610,929,213,497,583,624,053,
591,400,387,769,744,082,028,974,849,183,489,810,924,700,889,182,143,302,448,
398,642,301,399,299,501,116,663,865,365,738,350,810,016,480,518,660,579,696,
830,566,534,818,937,572,569,261,304,058,427,820,812,705,969,432,369,086,645,
359,999,403,987,445,629,375,936,518,605,987,536,708,254,402,647,506,866,984,
618,846,315,480,862,651,187,313,758,408,660,844,080,751,581,811,517,814,212,
797,293,025,855,585,352,757,693,287,308,446,301,992,342,964,609,375,677,348,
554,792,357,256,699,101,672,342,448,806,611,056,356,121,117,427,379,689,724,
498,516,156,618,091,972,265,599,929,526,755,503,287,130,853,354,487,885,943,
911,476,684,791,856,384,683,682,356,565,479,767,406,823,392,729,126,385,368,
352,759,286,400,571,233,707,404,962,635,513,420,067,009,760,334,033,234,433,
246,127,724,358,333,638,789,634,201,506,326,764,551,432,565,361,771,468,994,
220,696,274,566,803,791,970,962,455,312,704,578,812,038,878,350,223,180,946,
819,782,996,499,130,893,806,952,700,548,995,425,155,897,431,199,030,969,953,
041,118,059,739,217,877,639,237,914,928,911,359,384,613,519,000,247,003,566,
531,157,507,707,023,822,108,437,854,810,976,855,826,703,816,943,590,518,224,
600,458,809,616,917,155,894,892,988,138,166,977,851,735,352,300,729,387,498,
329,630,878,262,089,252,790,638,483,720,319,049,094,595,746,717,417,304,626,
364,986,832,993,511,037,163,383,619,126,463,769,711,937,987,882,411,528,465,
221,498,132,384,690,856,250,486,098,325,530,208,606,582,407,096,960,219,578,
360,091,470,299,106,326,422,658,282,432,679,739,185,792,901,413,443,366,524,
739,531,164,077,489,736,511,820,865,370,216,580,394,420,592,773,852,168,399,
329,558,341,928,708,325,044,672,068,844,709,723,154,076,563,209,507,832,278,
016,742,391,436,501,511,821,095,557,912,541,628,436,477,278,280,404,734,040,
215,494,702,758,603,211,578,388,921,538,732,534,459,053,025,406,578,592,855,
598,049,218,741,830,577,392,363,792,097,082,045,790,970,239,354,258,400,640,
047,098,375,395,623,352,389,904,632,381,021,797,702,106,134,716,315,278,796,
129,944,588,553,437,056,505,413,557,821,376,737,490,417,091,189,496,061,809,
157,251,917,000,294,482,913,478,686,557,159,538,801,784,125,994,489,644,313,
928,660,445,335,448,794,297,205,951,832,933,382,772,979,526,769,279,287,899,
831,458,921,496,027,490,367,595,906,618,679,291,314,389,655,831,034,873,936,
070,374,820,249,170,072,355,481,718,098,546,745,918,419,205,542,795,128,280,
243,225,309,836,182,372,745,201,495,439,790,984,086,857,825,708,164,993,716,
081,000,845,155,183,242,688,849,886,890,372,093,123,775,036,744,083,085,873,
993,291,702,874,229,885,858,723,455,975,625,911,573,949,657,582,272,720,160,
063,382,099,466,196,526,346,818,534,671,480,397,621,752,761,930,031,003,702,
129,166,105,552,086,516,935,977,658,777,773,721,717,506,522,259,397,151,975,
882,337,399,287,226,885,319,759,698,028,078,204,516,672,907,296,969,653,143,
504,570,848,663,527,034,669,780,639,389,263,248,341,210,725,551,620,369,501,
160,320,527,841,955,374,060,309,200,808,067,905,752,121,521,294,432,105,081,
267,537,802,498,039,080,513,620,455,357,515,512,044,582,591,449,694,866,079,
634,302,341,216,060,195,683,334,435,297,712,290,379,428,278,815,385,300,709,
922,013,721,416,648,376,148,868,093,765,038,643,166,053,340,097,972,465,441,
976,419,674,712,500,516,389,129,611,758,183,936,073,483,326,818,992,716,047,
090,597,314,575,273,899,248,788,017,221,854,949,931,638,417,060,859,633,292,
714,723,004,661,691,492,975,429,942,381,397,458,984,612,039,793,483,662,499,
999,981,449,477,923,328,025,164,296,819,593,339,034,478,391,401,252,457,615,
115,423,581,590,152,949,446,480,273,678,195,789,292,128,979,518,567,018,060,
649,580,102,821,266,698,802,184,560,212,493,804,935,122,342,165,026,342,633,
779,276,216,949,740,381,680,766,757,457,051,540,079,658,361,226,314,703,735,
755,262,789,550,362,338,176,438,764,666,557,408,606,877,996,912,577,902,644,
480,346,151,606,967,634,856,487,877,668,518,154,561,878,025,486,215,668,086,
301,298,836,747,334,645,782,895,466,528,339,221,616,800,490,482,958,912,993,
340,440,806,654,214,879,269,775,268,641,082,568,033,699,274,376,070,497,829,
583,734,346,554,367,288,804,908,805,764,949,708,453,575,633,449,122,896,492,
705,177,918,866,052,434,628,251,107,781,446,703,879,383,405,008,849,388,785,
525,633,527,729,603,196,286,165,442,299,409,237,182,586,095,292,428,992,129,
315,524,522,489,246,730,253,709,866,494,781,338,230,615,330,940,113,051,277,
102,407,928,068,016,019,971,827,444,663,449,692,828,028,678,443,200,640,832,
022,379,557,325,138,377,103,871,727,752,170,666,180,989,583,618,347,020,439,
493,264,821,324,790,269,846,825,617,717,772,115,753,838,823,598,951,209,481,
193,730,842,405,275,642,001,871,631,716,691,328,307,188,170,290,535,846,762,
417,463,551,833,896,692,716,768,059,747,350,760,188,653,817,791,171,043,671,
354,350,457,388,360,985,020,187,457,858,170,865,083,940,505,603,527,895,100,
673,153,145,291,889,818,018,253,475,355,423,602,362,196,129,120,140,940,951,
627,831,528,577,668,042,922,030,712,468,137,779,621,005,045,313,156,532,719,
661,736,340,079,572,172,923,237,719,111,153,188,672,491,145,559,767,360,791,
432,643,728,930,155,894,312,525,350,247,100,195,998,221,182,960,494,478,164,
301,058,456,300,696,753,624,869,821,600,896,118,281,321,673,089,260,882,097,
322,021,389,390,961,202,988,149,184,004,438,152,060,496,946,128,274,996,357,
521,469,717,742,973,696,418,497,738,317,753,955,443,258,188,391,712,662,655,
354,301,191,410,812,403,341,705,797,558,572,446,647,152,950,339,854,374,861,
073,268,548,213,756,961,554,618,431,000,656,828,441,510,764,201,282,593,884,
152,935,320,655,241,889,108,443,158,507,057,566,438,256,888,161,711,107,868,
605,971,491,520,528,484,351,764,532,896,674,487,561,289,445,983,954,771,452,
889,398,099,740,942,151,367,935,614,208,461,211,306,760,468,302,439,400,820,
253,421,692,269,789,783,811,445,451,595,911,208,802,479,174,344,141,207,965,
441,327,674,028,669,108,906,247,699,998,860,576,338,148,931,323,673,515,793,
079,710,347,278,918,247,849,131,804,336,795,977,077,727,731,769,442,446,665,
301,338,668,302,662,175,055,964,051,584,844,029,801,016,725,826,643,152,686,
500,482,244,433,732,321,555,941,785,220,420,814,815,798,092,031,932,771,470,
455,383,527,708,831,467,927,068,960,391,381,387,630,521,807,542,024,582,976,
727,790,488,763,398,821,474,767,032,238,791,092,913,159,016,408,988,554,104,
621,582,861,268,854,738,318,595,141,902,050,419,036,169,325,722,029,739,907,
736,208,085,743,907,510,187,489,166,178,769,393,593,528,119,301,122,288,588,
904,961,484,697,008,674,494,528,240,779,546,446,707,654,377,426,118,115,213,
750,705,505,956,124,147,375,378,872,404,522,986,923,300,484,244,434,240,064,
980,810,978,037,145,436,644,434,455,638,543,967,511,660,196,996,139,096,698,
539,539,277,115,918,865,142,364,055,789,936,486,798,840,661,970,456,496,975,
123,612,699,740,611,153,657,968,984,303,855,615,203,054,585,168,274,442,370,
196,285,116,932,707,748,364,407,711,564,866,781,231,194,234,363,677,109,626,
639,860,241,359,188,309,090,165,201,226,288,661,157,703,163,138,064,301,896,
863,017,399,891,960,004,325,279,433,774,133,578,260,772,649,400,966,099,899,
504,513,568,228,162,343,846,250,436,756,854,786,255,024,594,502,144,633,747,
033,206,376,479,445,500,125,639,929,775,335,255,023,994,265,699,399,101,894,
996,107,302,737,819,206,288,528,666,589,461,772,312,053,750,167,056,247,895,
250,052,292,595,793,432,255,160,966,697,527,983,784,274,619,832,630,619,789,
671,143,261,113,689,246,699,384,986,088,971,366,889,621,976,800,187,131,381,
112,972,588,800,468,067,765,153,911,751,646,452,617,245,895,694,927,735,577,
067,828,424,752,750,568,279,305,215,109,593,695,345,433,874,435,457,332,607,
798,714,327,973,847,185,428,663,312,703,118,463,598,976,583,153,780,097,937,
134,839,122,373,653,594,830,456,516,492,098,461,216,553,384,129,359,911,659,
513,272,458,414,924,141,079,647,276,301,477,066,566,914,780,163,992,346,521,
812,979,857,661,443,400,207,553,766,481,958,352,109,453,833,782,661,340,342,
258,811,018,448,586,375,899,886,191,681,957,841,847,973,248,439,719,732,932,
588,716,405,377,579,172,509,586,506,416,116,642,724,535,486,937,027,006,069,
461,204,661,392,546,798,168,593,656,048,810,210,068,768,731,214,244,166,653,
402,672,076,269,025,127,710,938,481,458,635,077,796,982,844,038,788,093,917,
836,726,801,873,813,979,729,867,005,140,590,805,337,868,330,628,448,540,803,
809,547,204,859,147,117,679,425,296,586,029,439,262,515,494,035,666,242,994,
630,087,126,186,031,918,056,086,963,904,783,481,032,505,473,204,747,815,765,
016,098,207,705,351,388,824,492,048,780,686,535,215,182,205,624,749,021,449,
059,978,017,622,785,080,758,748,472,343,185,916,949,812,426,959,991,285,473,
613,186,908,175,541,802,189,884,008,701,044,127,160,256,111,485,936,856,987,
681,720,461,504,617,906,262,804,677,940,918,287,609,234,743,939,781,550,935,
007,799,031,047,801,724,846,841,640,329,569,508,140,565,231,223,992,185,225,
887,343,193,090,030,419,753,343,576,142,311,124,898,082,970,580,247,453,365,
774,031,133,678,657,298,574,405,588,256,636,545,302,474,236,449,433,954,079,
923,833,099,757,897,689,239,507,399,262,531,509,304,037,622,617,336,031,898,
341,692,623,473,852,775,989,913,858,451,390,109,310,611,259,780,039,407,269,
520,007,525,824,214,301,162,180,068,007,265,333,366,853,311,613,011,528,571,
509,410,814,181,360,086,201,727,467,852,831,305,723,654,299,976,605,321,484,
827,304,607,136,219,226,870,397,373,329,139,199,322,102,216,365,419,987,769,
598,588,663,916,471,176,293,713,993,148,678,250,529,857,286,850,076,703,474,
410,448,749,751,507,970,253,358,343,836,035,101,781,981,513,545,110,095,573,
871,572,214,714,137,115,155,080,778,827,370,546,613,625,871,429,479,434,457,
663,839,564,082,085,487,414,205,008,229,708,972,878,099,795,785,913,108,662,
113,312,885,103,102,835,104,457,684,763,191,457,774,514,661,425,957,383,929,
751,155,215,590,727,729,420,239,005,774,190,076,415,444,250,870,375,210,451,
557,026,404,942,357,140,658,972,653,147,570,212,611,705,596,553,306,928,895,
494,771,351,458,518,150,771,523,154,747,847,289,369,529,642,463,578,212,301,
996,359,123,140,612,515,295,437,781,108,692,400,102,652,987,764,255,163,996,
522,094,072,578,796,228,212,719,085,091,178,489,268,417,462,704,661,629,078,
991,064,794,925,442,436,706,685,587,793,076,312,145,004,354,508,599,259,845,
289,772,253,361,171,310,615,672,907,168,484,201,955,409,044,233,637,695,451,
775,626,174,103,039,037,319,332,315,595,621,938,036,036,332,994,162,875,004,
325,789,483,050,808,268,950,533,646,351,061,331,528,367,678,416,108,789,410,
566,409,877,464,859,205,344,391,500,935,164,143,698,859,354,766,961,554,765,
797,981,445,476,101,778,170,254,675,080,345,479,071,159,771,046,119,919,836,
126,285,282,715,033,831,112,726,377,020,300,466,496,105,248,090,327,199,262,
288,491,597,995,932,733,338,673,094,470,947,268,130,781,457,216,985,936,709,
587,403,579,891,883,308,476,360,282,469,789,283,626,735,634,334,436,162,720,
123,723,284,384,483,023,385,558,014,618,830,957,615,544,040,447,451,379,600,
634,120,857,157,170,127,013,985,081,638,341,580,071,837,922,729,304,836,224,
141,200,928,071,223,311,549,576,567,728,198,082,812,140,408,417,280,070,562,
126,736,973,338,850,853,724,745,503,359,441,930,064,392,616,034,132,452,936,
660,019,830,320,504,353,487,234,522,278,304,564,044,619,134,921,463,572,171,
916,205,212,027,122,081,048,443,742,031,661,209,693,160,066,137,111,245,068,
975,242,258,628,473,155,163,802,874,627,940,164,590,060,644,133,116,230,539,
978,120,942,435,343,957,178,283,187,179,938,642,591,894,954,761,711,386,860,
840,022,489,840,323,189,731,057,052,167,896,257,054,330,300,146,635,475,918,
180,437,940,841,928,444,979,819,546,603,670,946,497,168,822,693,767,580,414,
243,997,025,036,792,557,760,766,783,410,045,600,585,597,831,228,213,621,767,
432,605,983,030,845,165,515,976,910,529,879,366,291,111,889,845,266,869,465,
060,080,300,389,503,780,813,963,380,303,650,804,733,070,210,087,939,880,383,
334,373,960,746,361,003,825,256,206,707,145,751,315,059,807,270,207,097,199,
465,277,821,743,906,113,442,121,596,733,098,011,851,412,434,260,804,987,740,
824,382,278,697,236,360,368,956,207,786,046,906,243,293,488,916,080,017,843,
904,646,691,434,320,465,909,533,610,500,652,723,656,108,657,968,784,308,263,
190,543,934,180,772,278,690,518,977,629,159,339,616,915,668,407,115,515,544,
457,538,369,181,363,720,332,388,705,166,909,818,314,403,261,546,521,261,143,
672,798,661,268,217,414,787,124,836,980,490,109,781,082,670,211,997,499,382,
283,785,869,477,928,231,907,298,261,361,394,135,693,047,496,789,949,732,104,
941,150,027,888,513,376,416,407,004,912,128,284,273,251,193,605,009,457,712,
832,991,222,804,912,437,299,200,201,684,748,471,537,968,159,167,943,293,327,
820,859,929,225,217,550,923,462,543,617,276,167,466,066,311,722,270,924,702,
283,454,848,195,053,278,775,403,281,124,185,734,314,205,948,837,356,096,952,
349,073,848,592,046,389,574,388,235,380,431,373,700,821,386,179,192,538,819,
971,127,240,195,519,336,242,143,998,706,438,158,757,472,771,171,095,108,122,
728,761,838,469,313,148,051,567,083,485,767,541,242,242,265,870,261,544,040,
026,429,319,494,647,547,598,934,981,414,711,398,150,753,217,810,903,178,505,
902,308,632,767,587,735,990,972,088,879,497,640,713,897,016,996,006,183,704,
428,135,877,989,794,978,996,342,074,989,219,509,766,960,729,499,756,658,776,
641,487,872,728,568,612,386,861,610,877,263,168,213,283,766,349,040,511,053,
470,614,430,258,706,764,893,772,859,773,747,339,834,643,244,037,186,349,700,
658,373,457,552,118,594,957,553,409,219,090,865,483,577,428,156,970,498,226,
931,209,361,771,063,443,271,712,692,217,073,386,441,150,571,102,740,592,507,
717,721,825,349,948,454,130,946,083,453,881,752,986,792,971,679,686,191,301,
141,787,079,010,739,918,496,518,608,091,265,713,183,350,965,666,730,107,461,
998,666,455,066,162,789,507,701,762,732,741,812,682,936,692,297,415,500,548,
540,791,159,791,869,087,291,945,916,044,732,016,528,381,893,927,876,977,228,
464,153,492,984,191,562,474,170,162,458,913,435,191,473,843,010,496,341,738,
846,266,525,587,554,226,414,320,187,285,437,214,662,002,357,973,775,626,026,
020,734,143,705,728,681,319,212,331,507,498,558,172,673,872,209,097,369,911,
065,674,508,187,231,969,992,118,538,539,979,141,237,735,231,062,988,958,628,
890,328,567,026,173,379,790,811,847,359,347,812,328,418,853,106,989,468,058,
004,275,192,374,641,447,685,309,530,301,298,056,768,946,354,277,136,730,651,
569,373,979,909,335,948,319,695,553,938,478,479,372,272,567,043,936,256,850,
432,113,504,581,710,196,068,342,221,559,733,822,981,010,313,919,896,262,155,
258,492,295,779,758,494,329,190,786,986,202,000,728,438,032,345,501,713,093,
626,302,225,568,883,814,927,078,177,875,419,254,445,425,819,123,195,539,444,
726,966,611,532,388,116,467,195,557,998,221,061,465,670,881,236,217,114,661,
263,471,478,334,008,203,093,527,914,109,452,721,699,790,199,246,728,863,089,
019,388,161,386,088,886,447,084,558,644,709,642,924,200,842,147,290,529,492,
706,409,734,424,985,212,640,304,461,460,785,624,151,037,185,265,201,727,684,
568,265,406,315,745,804,016,080,724,403,966,258,534,802,770,334,175,957,147,
171,685,512,585,216,310,684,253,514,989,811,472,140,480,377,752,546,343,917,
882,443,446,254,211,887,130,039,031,842,121,609,019,989,890,106,922,220,236,
731,461,839,084,876,687,611,194,842,893,865,984,428,234,222,081,271,482,348,
595,409,174,741,948,752,665,156,045,427,276,442,027,515,632,757,116,307,295,
625,477,658,554,463,499,492,952,194,139,400,862,929,110,747,280,069,634,472,
521,221,547,175,167,493,080,357,011,179,778,421,423,106,817,628,409,744,790,
768,294,597,776,288,789,091,304,053,826,593,609,835,233,258,088,648,361,356,
372,657,964,936,905,705,143,205,233,360,185,162,273,886,874,208,011,665,750,
120,771,767,698,957,212,420,422,440,195,965,810,004,032,627,995,718,323,067,
224,990,140,334,642,747,092,811,598,696,890,025,600,912,047,556,801,940,061,
976,401,512,020,844,213,646,150,638,070,598,968,656,910,024,322,846,952,675,
318,741,403,618,774,177,747,862,655,233,489,316,227,184,024,408,150,104,448,
438,652,122,759,211,023,456,438,984,841,231,568,787,865,600,962,842,662,951,
784,149,825,983,298,292,807,794,351,438,611,206,207,316,355,496,403,596,411,
653,669,178,538,688,767,169,867,034,798,132,612,104,908,312,420,901,066,945,
902,040,928,527,798,496,986,304,550,246,794,345,156,389,185,642,777,770,788,
091,233,175,728,866,409,626,750,828,184,425,582,340,487,237,335,625,288,000,
304,844,096,780,293,410,339,725,309,428,251,512,097,370,303,961,805,257,402,
682,502,070,313,543,704,881,819,507,358,029,497,753,999,750,367,713,154,639,
544,267,425,639,811,017,790,139,726,325,308,376,627,600,100,387,934,860,900,
515,195,265,979,109,043,642,447,924,224,094,358,971,140,256,784,295,994,360,
578,485,875,699,356,043,874,493,656,773,432,159,846,640,667,272,100,608,638,
986,151,824,772,006,257,591,324,092,561,064,424,501,614,336,976,083,378,032,
530,599,993,182,738,130,998,396,085,865,619,103,815,302,552,749,597,363,034,
031,908,048,243,098,047,439,632,923,906,031,716,829,726,650,030,502,951,797,
200,124,548,843,539,996,290,467,834,027,874,778,214,822,302,713,059,234,801,
343,988,939,919,628,577,539,564,483,554,546,429,206,053,880,510,236,352,844,
837,016,970,758,475,157,866,084,350,632,132,794,532,594,156,803,117,083,124,
398,061,576,910,987,844,148,047,808,450,643,135,358,860,608,637,812,394,336,
911,312,398,844,908,315,565,375,240,428,032,187,490,908,011,862,654,960,503,
700,036,636,788,561,809,251,151,730,936,876,560,328,301,077,933,988,181,383,
161,223,153,440,004,191,808,510,612,908,135,266,181,946,362,212,218,141,388,
848,985,965,378,757,126,645,481,362,913,224,588,196,181,663,723,918,531,126,
189,709,328,578,246,611,011,270,504,366,878,100,612,538,999,666,116,141,542,
842,198,196,302,647,024,897,062,478,820,057,149,867,200,689,255,052,476,152,
552,896,923,074,222,919,172,675,091,454,914,636,868,392,315,179,222,600,065,
597,359,249,644,736,242,652,479,572,617,080,630,879,961,241,100,859,282,780,
938,289,837,800,885,657,204,664,590,523,562,014,088,294,601,438,438,790,978,
328,733,974,742,253,908,281,056,465,129,745,287,048,007,392,987,054,654,353,
748,185,281,922,950,817,492,544,519,816,087,135,425,721,121,291,490,084,328,
137,610,349,307,237,018,511,664,667,065,268,478,695,498,354,143,950,651,222,
436,299,038,811,587,375,815,375,158,337,586,628,363,275,337,120,954,091,635,
717,167,700,269,389,771,365,582,804,089,630,669,201,530,694,272,659,088,442,
951,818,487,138,884,490,802,688,691,549,305,188,418,381,618,325,910,994,238,
185,187,064,492,932,513,751,626,538,031,061,656,940,210,813,517,354,436,954,
143,950,897,217,795,484,960,106,156,868,922,444,269,487,604,611,020,901,763,
584,784,158,049,761,434,848,898,957,088,572,135,913,143,339,157,764,035,605,
661,692,555,215,453,360,193,406,074,685,956,489,739,452,174,962,964,890,871,
898,727,282,550,422,723,606,056,599,852,983,334,038,365,692,026,992,996,762,
264,995,615,839,010,394,510,514,909,914,505,799,908,359,263,664,265,554,094,
467,606,151,529,304,146,080,314,452,791,994,194,024,326,603,243,995,095,173,
925,044,302,480,475,256,001,949,064,244,322,850,901,297,324,514,107,080,532,
477,022,857,552,826,778,950,058,747,338,907,625,379,150,372,708,473,999,107,
634,828,834,520,288,250,833,370,246,287,985,300,427,291,833,417,826,278,810,
937,995,605,124,650,454,217,813,394,729,811,861,412,944,766,232,363,284,706,
218,458,166,515,957,135,372,458,616,006,229,302,378,989,830,416,070,861,931,
881,488,940,099,344,987,077,051,473,634,098,444,208,447,096,409,600,620,431,
838,660,849,029,385,803,843,020,320,617,347,229,347,174,053,571,134,131,008,
001,573,721,199,516,241,935,516,464,932,203,737,399,309,213,339,818,887,423,
945,336,396,663,254,551,548,071,242,648,845,645,239,362,954,705,132,713,830,
064,103,006,131,170,760,026,576,523,668,321,570,789,090,055,004,227,295,971,
555,155,950,269,297,794,847,179,836,897,197,158,266,255,373,958,340,719,118,
901,606,952,796,447,337,558,604,488,626,767,032,725,548,954,349,199,624,700,
537,049,705,076,103,458,019,424,180,071,222,570,522,218,241,519,023,630,167,
688,863,600,903,903,435,649,153,843,507,165,752,915,985,574,438,134,226,573,
947,802,914,413,697,394,887,425,319,637,378,537,326,201,523,318,122,724,552,
347,020,028,454,636,951,306,537,051,051,496,491,591,310,813,505,685,660,464,
242,463,346,147,119,882,938,283,648,234,315,981,667,709,621,406,150,226,655,
820,932,751,333,627,081,069,481,203,920,748,123,909,229,670,560,504,036,466,
428,803,349,438,828,625,032,235,069,593,266,722,632,052,460,148,608,691,360,
574,668,566,331,463,365,989,133,760,278,144,505,909,953,353,433,788,581,753,
749,049,248,750,373,636,885,936,420,661,945,162,271,240,536,939,391,383,043,
525,564,394,847,290,498,889,447,313,074,950,288,028,700,614,467,382,568,630,
618,341,778,751,893,621,879,188,801,195,428,027,799,314,303,995,737,575,960,
896,340,513,634,574,751,805,054,696,855,808,866,677,394,701,173,801,546,731,
518,557,974,812,705,140,722,776,931,535,808,403,232,454,450,304,585,116,666,
486,582,476,592,696,916,355,476,768,891,957,263,451,238,612,626,722,081,160,
923,093,590,839,973,642,615,475,891,835,398,185,527,626,060,993,575,078,071,
909,567,495,340,832,575,871,951,991,922,730,161,926,774,819,901,623,972,641,
079,213,474,573,559,462,314,536,505,761,606,210,875,284,426,194,045,841,630,
250,442,808,778,063,892,852,075,079,086,050,262,624,798,933,437,279,984,413,
379,987,909,287,931,931,843,246,951,409,356,832,759,628,103,073,030,153,027,
134,678,519,929,168,223,902,784,968,210,382,728,635,737,701,334,746,144,375,
685,217,397,128,911,944,725,897,769,573,671,729,913,837,068,625,229,059,366,
161,377,825,123,515,344,318,890,850,548,037,331,628,641,979,405,686,280,454,
450,484,799,794,846,184,821,597,168,308,659,375,180,990,816,203,001,775,001,
722,726,706,498,951,482,095,761,634,063,239,277,767,915,850,938,265,716,792,
584,373,149,400,100,705,548,357,928,436,417,670,675,509,105,278,204,462,662,
202,113,323,666,752,933,524,710,025,115,338,909,004,233,831,614,693,494,690,
446,712,528,442,958,285,575,402,033,525,739,397,309,114,021,924,407,003,976,
815,051,119,509,377,792,656,909,773,775,736,823,535,308,343,617,563,972,437,
813,979,610,335,527,793,051,460,071,189,957,361,050,312,679,387,214,611,737,
960,195,175,959,829,452,811,377,465,806,781,358,804,575,015,973,835,861,511,
067,928,832,927,871,778,140,466,572,598,530,877,387,169,382,262,973,764,421,
298,152,555,796,525,607,475,234,848,522,823,875,934,543,802,566,605,301,374,
611,922,433,190,755,266,555,692,754,745,996,359,899,376,474,387,004,168,569,
594,047,958,185,701,261,947,991,272,436,350,701,335,065,714,752,166,071,148,
408,933,405,920,861,790,885,699,418,280,261,302,987,409,244,977,120,996,376,
598,107,507,121,313,135,402,391,421,922,025,012,125,805,895,101,014,472,365,
068,240,658,248,526,617,616,939,542,724,109,946,997,444,158,836,335,607,646,
833,629,670,859,444,048,642,637,896,687,615,724,464,886,706,562,073,906,340,
669,231,423,722,421,975,971,675,912,293,633,385,861,466,169,606,435,015,665,
550,767,785,013,537,510,535,563,818,886,528,456,050,357,086,173,859,356,753,
780,306,474,373,861,053,796,101,715,202,228,817,965,237,015,945,065,524,292,
676,222,935,113,712,858,562,608,086,316,129,068,016,936,631,275,509,089,915,
720,511,538,494,651,325,973,197,120,474,025,112,318,717,988,880,850,666,839,
482,097,201,540,110,882,922,634,642,724,875,127,954,890,656,484,583,474,046,
241,826,095,506,607,968,911,714,071,090,928,213,602,166,594,167,822,217,822,
833,829,807,231,818,093,115,280,515,850,305,121,939,069,018,128,176,767,390,
894,439,980,828,738,869,803,550,620,711,176,044,766,527,967,595,691,861,830,
822,243,562,557,121,040,097,851,054,581,399,953,780,003,300,983,450,370,218,
265,486,276,729,099,332,333,450,550,688,981,695,800,843,476,300,322,407,852,
310,422,688,173,708,554,366,211,227,780,585,983,482,325,762,610,174,190,958,
190,554,811,440,095,490,158,192,275,578,115,540,513,359,306,138,760,750,889,
104,265,828,809,595,796,454,186,086,652,760,801,156,243,653,199,611,765,007,
607,366,366,024,749,293,879,860,639,019,174,842,944,151,350,411,684,949,397,
279,725,352,949,477,533,343,899,283,997,330,781,710,306,767,384,584,292,404,
065,599,224,571,279,928,862,374,899,591,313,532,047,061,340,733,906,692,968,
138,788,091,550,459,799,275,590,920,311,003,657,560,978,776,355,709,258,619,
738,082,286,193,694,219,427,723,142,997,018,897,161,588,127,041,398,989,750,
929,566,013,723,219,357,553,313,460,322,466,350,757,165,697,625,879,043,972,
909,263,690,904,951,263,773,716,823,824,941,517,309,314,950,747,135,131,529,
201,653,195,043,151,561,469,265,062,421,259,957,742,136,548,545,649,850,256,
368,568,985,340,433,593,007,957,032,057,523,725,451,419,310,076,547,881,744,
869,026,725,707,946,273,487,924,671,369,649,380,917,036,221,455,137,505,688,
920,937,872,481,575,774,540,309,639,118,540,083,784,778,696,053,481,423,534,
683,284,586,825,444,578,333,541,883,206,087,574,375,373,729,875,761,689,072,
072,898,997,142,209,166,700,794,523,712,542,512,958,581,824,427,232,686,860,
753,570,212,492,349,943,758,022,727,665,113,297,020,142,030,156,507,299,990,
268,155,258,033,983,922,928,257,219,920,619,162,303,506,842,574,136,623,636,
445,408,200,838,163,085,926,630,595,287,543,256,367,874,475,656,601,081,328,
970,174,019,891,413,527,614,692,213,517,790,277,729,701,237,182,501,091,458,
573,115,061,750,757,151,418,435,467,400,504,867,763,083,870,757,291,469,611,
433,393,683,519,307,884,710,729,412,647,076,561,638,391,071,819,656,037,080,
240,303,764,202,756,414,753,735,009,604,808,989,527,924,054,686,346,897,811,
482,248,419,240,856,394,212,634,094,540,895,705,104,881,931,851,466,654,747,
344,261,342,327,300,837,828,937,252,442,593,625,980,766,531,273,607,403,090,
165,035,950,841,366,518,091,591,237,321,380,403,921,833,999,673,723,931,479,
380,762,903,633,658,742,595,322,695,071,978,410,932,064,814,633,966,720,210,
280,398,275,869,915,452,232,916,697,368,327,264,785,416,882,257,316,940,519,
067,978,738,574,993,410,478,328,045,734,629,481,240,743,335,385,970,654,795,
932,301,238,218,103,083,651,902,920,991,562,578,873,905,754,367,166,137,599,
526,300,471,348,952,884,295,010,167,788,131,155,928,589,034,476,302,752,689,
355,844,279,423,406,698,770,144,915,471,911,770,303,968,181,604,791,142,097,
246,161,910,317,758,908,587,809,584,063,569,365,302,938,625,924,263,975,228,
528,506,495,403,846,843,948,883,741,152,531,525,377,136,691,249,153,091,227,
526,997,115,009,416,078,884,268,431,242,673,208,028,111,975,329,460,737,957,
200,246,156,701,358,141,772,586,135,985,634,541,558,840,334,437,207,738,044,
183,505,368,371,693,542,578,065,355,886,716,176,691,231,333,339,544,999,119,
765,831,234,342,678,342,381,037,463,263,980,730,894,855,649,372,182,338,712,
308,394,292,945,423,953,831,311,807,580,986,847,494,821,288,111,608,577,594,
253,029,863,533,250,018,421,930,050,392,669,479,025,314,670,092,654,250,142,
863,496,946,224,229,063,568,495,061,939,865,623,458,301,891,150,471,530,765,
336,190,607,142,930,617,865,100,191,757,904,715,480,516,406,974,081,646,218,
965,085,713,821,814,154,943,775,596,745,992,958,686,620,916,582,765,503,091,
483,698,154,114,552,874,959,486,191,419,699,010,924,355,321,376,560,006,320,
135,670,855,785,974,567,384,295,293,246,063,551,374,393,459,799,677,269,570,
519,139,607,068,840,255,459,858,615,842,103,764,991,322,505,621,717,010,214,
627,247,296,247,590,607,601,825,618,849,179,102,052,016,270,809,808,375,443,
285,119,609,059,169,655,701,928,409,094,608,681,165,398,514,065,850,969,729,
108,277,352,965,936,755,315,876,013,353,930,432,576,827,266,621,073,946,890,
596,741,086,331,543,934,475,018,498,484,355,682,841,178,233,367,704,417,303,
133,614,052,473,648,572,411,799,173,365,792,034,741,501,550,147,145,775,019,
302,491,850,934,291,453,379,757,877,392,737,393,695,564,646,321,501,412,880,
995,036,608,454,041,885,288,011,580,481,643,702,866,625,110,728,413,864,857,
170,977,489,152,782,017,214,611,052,090,459,002,657,660,467,402,493,476,609,
187,198,834,090,889,260,083,968,648,214,833,556,398,184,709,932,882,213,846,
275,020,609,708,170,138,105,629,127,194,701,261,677,962,482,304,636,972,162,
225,770,361,142,168,467,815,180,786,126,315,805,111,341,565,406,579,276,347,
487,226,366,215,215,046,356,895,727,159,880,830,963,817,040,395,229,016,979,
101,027,767,389,068,148,725,679,480,890,106,569,735,703,821,357,348,516,193,
152,739,003,832,639,522,514,528,235,434,383,255,038,487,611,979,076,371,964,
765,432,863,587,115,867,731,311,929,827,382,913,657,765,534,640,234,780,934,
925,403,544,154,790,014,939,717,274,072,864,633,832,650,726,798,347,655,472,
420,904,457,262,878,565,447,047,591,964,996,279,973,594,905,713,669,389,322,
635,492,980,608,901,744,546,241,504,547,020,844,784,058,889,938,166,967,221,
759,100,261,723,619,208,899,618,031,273,978,431,904,120,352,293,016,049,217,
251,251,138,269,507,578,590,652,947,642,758,709,762,345,960,663,262,699,731,
865,039,363,273,003,217,735,742,139,543,882,975,437,731,469,318,964,475,577,
733,284,640,267,131,671,743,597,753,997,189,367,132,904,422,417,260,951,176,
495,576,268,825,351,817,152,185,964,798,629,507,957,428,719,129,458,838,252,
677,977,316,897,674,906,093,862,132,384,158,241,987,390,007,268,458,871,950,
993,599,333,121,848,102,515,062,582,067,413,931,239,994,627,377,750,400,448,
550,760,310,851,889,183,752,904,004,958,807,709,145,260,915,327,469,412,958,
742,278,043,366,239,452,665,020,489,495,308,233,736,950,206,354,906,678,566,
248,838,237,473,964,475,606,167,274,610,275,261,345,986,297,172,677,884,373,
263,728,168,661,930,712,294,390,524,835,510,337,299,661,646,443,894,621,566,
551,137,940,896,105,464,792,652,937,953,731,764,884,728,169,238,622,682,272,
752,193,216,106,364,046,435,235,522,698,866,884,440,829,317,081,688,366,584,
550,289,998,708,509,121,137,191,064,875,871,540,871,412,144,422,611,740,094,
682,396,260,211,566,151,038,948,056,164,411,022,918,540,732,967,830,072,819,
092,597,219,916,473,432,309,493,350,712,591,259,364,896,097,978,366,698,502,
774,796,796,453,768,638,179,757,449,067,188,918,005,185,937,617,691,686,330,
978,330,041,102,190,374,761,619,531,214,953,140,839,860,481,676,740,428,862,
913,637,584,856,460,326,215,789,621,372,086,344,444,714,311,230,387,748,078,
680,059,118,029,230,564,036,235,456,315,294,416,013,313,306,463,256,473,626,
995,692,663,859,758,264,721,994,868,868,275,811,209,712,646,204,018,510,758,
427,475,584,597,479,883,383,667,708,832,410,023,910,659,345,441,511,510,418,
680,182,077,949,378,367,148,448,645,180,896,139,988,014,913,972,552,396,187,
544,299,593,076,356,746,686,832,824,638,013,256,025,441,627,129,439,633,534,
333,320,638,999,744,469,877,797,356,280,954,155,542,284,274,034,952,983,454,
411,511,936,731,046,466,748,387,141,683,193,932,339,974,571,566,032,359,531,
795,341,115,860,688,692,350,757,350,445,476,722,132,062,661,450,155,802,445,
268,246,341,005,576,790,013,201,955,031,151,959,368,879,478,951,451,768,740,
720,208,646,446,086,851,927,000,542,672,794,993,052,049,615,164,381,561,078,
840,777,141,962,409,294,602,189,520,618,062,525,421,721,650,735,306,028,841,
704,232,316,638,155,843,330,547,394,064,504,378,728,282,530,312,898,680,271,
060,080,841,356,667,376,306,122,068,235,874,564,618,576,051,165,364,022,191,
462,441,498,055,063,516,884,512,503,234,871,510,789,504,547,346,927,590,632,
808,387,834,938,336,654,957,053,314,500,093,211,190,543,154,376,534,170,259,
828,557,957,017,328,662,589,436,946,445,371,258,215,762,579,263,922,746,867,
567,513,545,551,732,890,475,843,226,139,679,779,767,474,995,256,527,721,113,
225,730,176,343,960,663,538,766,843,679,857,767,077,248,139,003,409,061,748,
493,020,313,000,181,973,836,733,035,306,971,466,957,007,547,000,613,448,614,
728,986,998,855,457,052,994,915,218,535,789,392,228,112,046,203,444,216,989,
338,659,703,508,205,407,530,055,587,530,069,333,913,201,157,465,045,354,514,
327,819,019,290,957,166,471,425,156,745,482,868,975,499,781,698,417,783,058,
789,005,425,431,357,575,581,959,719,617,821,984,117,501,540,029,533,093,237,
990,681,683,305,579,867,658,394,980,836,697,219,140,823,926,101,933,064,262,
702,046,281,318,989,317,580,313,753,623,567,824,215,351,881,833,331,083,054,
045,269,608,704,435,497,348,430,089,020,412,047,562,188,129,811,633,751,889,
040,373,270,219,164,134,789,875,838,612,069,178,173,400,168,667,580,736,463,
149,461,218,026,452,310,098,388,141,960,624,124,873,920,348,373,041,674,648,
829,211,471,315,009,527,252,918,687,847,091,123,999,990,202,277,713,879,797,
568,361,628,502,556,043,872,992,609,488,448,731,853,808,715,018,980,850,508,
362,500,819,983,996,761,359,230,719,175,961,553,692,044,370,730,337,850,921,
047,665,068,508,706,150,752,403,474,063,712,405,261,526,884,594,261,507,405,
156,047,738,927,145,521,756,180,661,179,000,167,972,929,127,602,993,600,412,
136,567,982,284,312,046,946,165,119,623,843,928,149,592,549,684,573,503,264,
210,495,503,641,566,784,538,176,139,942,703,303,115,102,706,610,943,486,921,
838,355,753,120,981,244,345,039,530,168,841,818,750,005,419,942,934,611,133,
116,759,715,384,128,888,739,710,559,298,906,182,369,213,497,099,130,488,090,
341,226,523,349,268,281,116,466,818,769,597,180,983,964,764,912,583,967,462,
165,819,380,064,572,776,888,253,768,389,926,804,568,494,011,780,432,876,700,
675,765,921,899,040,224,239,428,875,576,832,144,462,627,273,176,602,093,475,
160,641,729,088,794,464,633,633,083,652,122,158,714,936,992,397,158,634,548,
126,020,539,214,661,423,504,583,892,166,099,904,987,426,565,954,601,141,185,
757,738,235,601,222,052,013,643,605,616,737,958,480,494,027,442,622,676,620,
699,447,360,213,315,017,707,959,699,977,231,211,947,501,785,996,401,302,357,
614,948,271,453,080,095,777,458,459,977,148,187,789,410,224,242,447,327,376,
648,348,332,103,238,701,362,002,794,082,901,656,663,581,054,537,498,806,156,
830,588,330,285,969,001,118,571,450,346,794,154,310,647,634,165,978,998,498,
489,550,123,277,060,993,688,934,085,174,854,541,007,231,005,249,436,478,004,
407,616,063,061,078,331,472,702,845,125,981,141,568,602,341,816,455,848,425,
495,693,278,135,847,688,979,697,159,057,228,664,747,286,025,214,425,866,243,
382,843,809,431,695,899,194,431,772,146,828,321,686,423,387,137,598,104,294,
338,634,694,418,657,355,582,682,388,762,147,959,675,466,721,781,206,412,054,
432,724,201,001,120,051,155,438,885,161,986,594,131,427,960,953,579,807,455,
511,915,373,746,982,011,206,554,959,021,818,001,144,472,038,805,334,956,792,
658,934,696,984,684,837,680,043,453,200,878,180,169,857,630,192,234,258,230,
759,625,831,081,893,242,780,498,836,648,694,780,505,379,799,164,222,651,365,
183,036,883,848,123,291,100,694,103,959,792,713,640,849,698,478,591,639,675,
078,138,911,156,568,132,375,276,436,678,089,951,586,989,480,075,230,776,351,
493,783,835,890,376,198,678,990,957,759,655,346,963,182,888,228,683,187,254,
830,747,851,782,912,465,978,526,055,574,934,185,835,394,680,957,299,842,448,
536,155,068,255,862,330,657,606,379,681,903,752,404,525,493,835,726,868,252,
671,033,882,023,176,849,031,294,716,320,371,220,931,221,451,260,678,545,995,
419,190,265,014,271,516,095,796,072,166,604,288,880,924,789,795,933,277,819,
030,576,961,394,713,439,688,302,032,548,136,142,470,866,815,147,935,677,356,
748,768,125,991,678,390,855,601,331,755,107,676,408,138,444,775,645,695,168,
176,442,504,713,852,955,840,941,400,843,370,356,282,242,382,638,640,665,570,
364,419,177,416,656,146,389,887,218,874,465,460,612,208,637,913,798,768,450,
993,218,787,092,226,967,888,569,565,157,817,307,690,197,875,958,464,274,855,
463,829,847,850,696,064,849,407,898,409,270,461,487,176,305,592,436,791,678,
766,007,152,192,383,004,108,686,461,061,801,428,942,653,770,905,688,292,741,
651,406,208,302,261,118,830,819,214,061,705,481,491,441,772,844,556,483,274,
035,402,992,382,134,964,322,196,289,681,782,983,441,630,525,806,095,149,780,
992,540,217,384,153,713,920,516,889,482,407,743,410,486,722,351,069,556,106,
568,879,725,859,925,078,367,118,225,509,412,632,424,423,114,459,865,976,978,
346,777,137,828,711,981,442,026,575,371,069,855,617,152,239,575,404,410,595,
507,334,849,301,002,831,343,464,908,326,319,206,143,982,401,147,202,103,639,
468,537,913,423,057,553,655,423,987,546,302,046,306,954,950,165,359,898,121,
278,934,140,885,598,213,207,060,471,581,542,013,284,156,539,119,712,538,447,
073,474,043,617,362,739,427,410,191,034,831,191,192,510,681,532,875,285,363,
730,771,921,815,029,951,733,293,678,250,941,540,101,458,541,875,190,965,243,
117,052,416,910,129,181,058,683,601,292,650,666,185,523,971,257,223,410,474,
780,813,342,290,557,970,931,262,134,993,923,587,606,951,904,089,714,421,110,
715,921,200,821,704,397,418,496,373,742,937,635,289,558,587,036,806,587,952,
104,405,368,732,323,085,888,349,721,346,328,601,995,895,990,202,992,950,504,
308,837,181,233,683,191,707,599,543,559,499,325,779,318,798,488,130,147,077,
914,323,016,192,480,503,889,688,110,561,818,434,413,878,410,077,598,055,961,
339,982,321,665,595,804,262,787,077,565,781,718,265,943,344,458,831,894,704,
577,685,120,303,425,912,797,195,824,553,297,622,255,499,286,120,789,399,957,
021,207,320,874,328,545,484,377,002,718,342,644,001,562,210,053,343,054,588,
616,602,978,632,338,129,915,507,341,513,831,258,531,220,676,951,242,176,277,
958,783,705,684,159,771,142,895,482,272,653,348,428,538,747,168,242,213,681,
294,793,657,814,170,218,988,436,400,774,498,589,712,752,587,233,150,535,643,
292,135,210,823,027,138,642,195,883,368,284,472,390,724,791,868,058,578,878,
486,735,376,492,776,730,236,898,879,357,377,053,010,079,443,752,959,390,024,
369,573,920,262,493,983,133,115,446,990,796,098,184,299,595,641,863,517,081,
144,416,102,869,048,987,780,424,753,882,742,123,871,617,269,988,269,263,319,
223,650,467,911,314,208,267,491,639,887,690,799,563,376,416,494,693,356,040,
442,468,180,565,871,962,786,366,867,148,197,181,121,248,041,282,221,507,707,
418,890,346,298,610,657,712,521,344,192,792,686,060,390,948,268,090,563,368,
529,988,968,185,334,400,986,489,871,679,127,831,132,026,816,798,743,698,562,
438,441,336,544,967,532,206,594,748,736,338,137,236,232,408,742,717,161,286,
842,519,752,372,342,888,477,574,005,375,093,839,750,219,759,381,805,520,248,
016,382,966,251,397,156,393,274,179,765,420,381,814,673,658,916,033,475,208,
418,443,342,899,530,711,041,321,464,842,488,133,216,146,239,558,841,442,970,
012,357,346,893,670,720,945,535,111,078,151,955,157,325,267,175,593,121,321,
719,562,429,023,892,346,895,066,527,978,224,086,709,153,010,228,648,212,517,
046,064,233,915,867,089,516,586,964,236,987,130,577,513,364,837,982,833,504,
224,617,010,953,894,627,921,911,980,910,549,130,255,666,878,818,448,005,649,
902,295,978,887,556,105,377,391,791,437,556,886,406,354,801,692,717,067,462,
444,294,924,877,104,807,708,787,297,323,770,972,282,129,284,479,861,409,741,
774,830,332,353,833,894,701,737,394,190,730,542,835,241,899,301,331,647,082,
450,220,424,201,829,885,563,620,888,407,089,547,630,460,197,756,989,286,514,
734,287,354,756,682,208,890,540,427,061,681,303,856,178,406,969,581,733,909,
730,529,111,324,739,200,415,862,920,457,916,722,820,700,044,857,061,920,873,
914,388,240,547,978,645,902,910,507,166,729,407,209,815,690,589,907,170,143,
272,145,946,228,444,936,900,468,602,525,652,334,927,627,239,668,597,242,656,
144,811,018,926,402,834,284,826,464,515,668,275,129,709,478,508,597,156,599,
791,165,570,515,484,217,523,942,480,606,065,197,696,114,271,026,021,692,027,
402,936,741,589,894,873,145,941,776,932,758,685,326,059,028,071,945,553,169,
043,389,446,557,626,552,088,895,150,333,557,964,844,201,125,466,766,140,331,
048,717,615,512,346,723,754,892,392,460,547,037,138,789,523,928,476,202,366,
796,338,428,520,696,642,883,286,473,950,661,192,514,875,854,844,662,879,906,
071,775,409,005,055,151,681,056,065,616,547,140,680,742,550,162,298,669,104,
724,930,387,201,834,003,090,083,201,916,088,160,872,486,087,213,191,732,477,
702,597,197,644,808,305,323,430,031,310,267,661,687,434,373,927,206,026,987,
372,229,166,455,967,644,626,767,865,770,692,751,483,264,276,610,400,216,808,
691,441,599,707,390,368,841,853,054,369,024,368,311,873,378,462,103,104,526,
931,288,615,747,761,516,190,829,124,579,217,873,664,752,907,465,770,267,317,
137,560,751,258,685,312,601,206,820,855,437,762,752,800,419,943,786,573,746,
228,995,803,897,929,855,378,080,066,609,902,548,197,028,408,844,552,331,413,
657,087,148,029,325,064,677,213,383,519,525,061,749,736,561,909,172,228,382,
450,156,012,497,659,344,680,376,984,034,749,066,944,869,193,313,433,626,615,
194,503,179,160,275,021,260,597,820,635,933,549,148,782,336,136,405,144,988,
682,702,518,794,706,164,452,533,363,192,712,741,087,568,840,521,347,551,891,
809,010,323,358,154,778,656,381,972,078,103,976,233,329,423,927,714,561,176,
763,868,320,577,666,375,693,699,676,028,819,985,640,279,417,359,737,050,866,
988,976,670,263,424,791,855,347,281,139,293,153,334,658,772,228,094,929,922,
444,007,124,197,912,209,900,704,829,274,621,191,992,118,438,060,350,169,754,
886,668,336,051,124,326,270,991,180,641,685,287,607,090,970,278,633,813,804,
975,031,566,433,831,723,583,787,950,962,608,797,003,459,352,004,437,531,364,
578,428,005,414,629,471,091,656,610,959,314,331,879,328,931,480,513,868,567,
636,146,033,180,965,252,967,470,618,854,185,969,396,718,791,417,376,646,574,
609,805,975,309,784,155,269,800,280,899,390,345,193,694,865,679,547,128,147,
601,591,462,339,710,479,215,396,623,495,545,022,339,590,057,524,223,494,451,
195,282,146,015,296,538,341,100,433,458,903,007,852,359,019,693,403,441,751,
814,072,570,891,583,658,494,649,070,322,324,695,239,523,809,245,445,608,281,
455,583,490,389,708,276,459,060,734,614,081,813,942,977,636,487,334,920,299,
343,499,511,219,018,594,630,833,913,667,368,189,646,971,820,409,352,694,354,
059,633,914,155,005,863,202,162,645,039,185,667,793,983,220,570,170,512,106,
004,283,909,753,375,783,401,135,918,755,187,801,269,651,391,459,836,743,164,
042,453,455,297,561,183,909,444,286,895,369,914,466,928,465,546,561,119,481,
834,566,825,841,427,824,360,736,668,923,240,102,137,331,815,411,983,794,975,
407,709,928,672,257,592,343,019,446,263,069,748,837,610,734,819,447,654,443,
134,635,271,790,144,904,523,307,306,542,086,611,725,324,822,808,264,138,936,
665,361,529,428,368,124,745,415,087,980,614,753,605,125,443,826,378,967,199,
087,461,873,841,580,303,022,475,588,811,836,538,207,778,242,115,342,689,088,
003,641,246,182,236,175,724,482,427,602,502,518,825,571,088,231,346,579,558,
345,731,634,250,020,380,912,619,912,744,810,252,206,221,716,179,594,504,593,
631,784,143,552,317,262,356,102,873,470,790,524,603,600,405,556,761,099,355,
226,039,855,594,300,982,990,628,997,908,088,570,762,133,211,811,994,475,449,
958,280,374,167,394,400,242,953,941,815,842,554,258,919,578,780,750,956,983,
981,174,658,147,017,359,101,618,375,997,548,727,510,672,068,481,195,991,813,
572,573,163,217,650,531,968,800,374,770,242,150,891,220,552,313,854,719,021,
283,687,974,339,221,244,909,897,433,528,609,504,436,206,178,166,702,575,011,
920,650,915,607,412,761,880,312,929,282,242,967,511,571,131,492,510,728,515,
094,201,480,134,250,002,638,352,007,672,060,753,679,236,215,275,002,080,938,
212,921,481,853,860,306,087,230,593,415,986,385,353,240,818,336,007,624,834,
903,445,102,737,931,224,064,283,377,643,250,985,732,253,135,250,988,752,010,
895,427,798,231,352,796,514,014,717,648,913,914,549,215,377,811,091,293,534,
329,371,935,011,277,941,190,803,486,076,695,651,854,869,621,785,837,449,994,
470,530,952,658,025,742,199,351,839,020,167,394,199,525,548,703,281,437,286,
353,275,172,336,815,841,609,363,766,332,778,071,436,727,068,959,776,716,803,
531,867,107,171,153,898,919,101,887,419,339,334,354,406,906,112,155,814,349,
888,885,878,844,369,058,581,713,332,438,103,606,940,488,368,495,450,335,527,
746,983,783,623,003,472,433,695,044,443,918,417,279,112,824,678,460,590,911,
159,073,375,223,434,802,736,181,428,750,941,814,390,653,018,263,748,618,869,
122,882,485,245,945,110,600,088,128,593,687,244,155,611,446,321,736,158,028,
988,518,198,572,861,103,890,737,865,685,911,034,531,563,735,711,453,202,628,
104,619,758,971,813,175,789,072,403,585,966,195,751,623,784,284,225,319,794,
868,166,022,851,787,247,191,150,649,514,223,375,395,618,462,848,815,035,624,
358,392,096,359,674,931,363,789,771,942,257,925,344,298,696,678,762,649,722,
473,197,908,692,876,480,201,098,954,597,378,765,528,383,057,188,836,336,703,
276,917,154,190,016,781,631,828,325,279,161,911,055,104,129,101,138,918,238,
893,949,562,689,675,997,413,450,453,814,170,624,876,336,715,180,709,135,503,
297,326,539,956,692,153,665,345,015,775,612,912,097,574,968,146,920,588,048,
488,475,122,107,959,501,378,369,327,618,562,966,374,340,988,252,551,894,766,
594,933,338,322,953,003,882,487,846,081,841,637,799,378,900,158,121,207,917,
607,639,053,168,806,882,284,759,138,402,548,279,530,555,625,670,857,295,433,
040,275,428,783,188,162,989,851,533,347,706,267,670,539,683,967,694,612,673,
570,773,401,070,028,517,218,880,482,367,582,611,731,874,051,716,711,465,200,
447,338,782,033,324,103,717,569,976,342,451,669,805,126,877,769,201,489,228,
484,779,908,501,998,720,839,686,020,745,033,029,421,818,453,263,767,843,614,
120,105,966,864,549,537,559,069,121,623,480,881,787,571,692,385,909,390,063,
998,751,775,844,384,849,267,222,333,154,594,185,141,620,185,323,011,034,718,
541,744,821,967,187,991,375,036,186,185,193,241,737,882,569,043,266,513,470,
038,155,531,268,032,174,423,814,271,881,894,106,111,969,799,051,065,232,975,
614,037,590,583,152,893,243,372,053,553,136,114,845,561,124,600,063,088,613,
245,185,247,861,905,365,651,344,608,187,692,907,913,132,528,262,996,645,912,
236,636,480,468,185,689,815,242,027,170,311,207,358,803,058,251,578,986,303,
972,743,173,053,418,609,755,592,796,007,352,462,338,755,853,271,642,336,357,
256,621,911,398,790,334,599,022,738,606,185,139,737,329,344,321,643,511,588,
389,214,168,596,228,739,418,739,499,454,499,080,653,842,294,764,384,997,979,
786,118,925,006,827,709,968,219,004,022,999,281,349,357,555,392,200,523,407,
826,525,235,098,799,175,291,725,257,541,032,442,016,180,978,321,011,024,404,
669,585,308,321,379,461,748,092,547,277,061,432,224,161,874,413,377,894,539,
457,006,491,853,243,601,908,437,927,283,869,566,031,875,879,263,931,252,567,
190,075,339,656,459,838,311,611,858,176,495,478,400,982,541,071,459,434,028,
453,214,539,230,827,915,785,409,634,463,368,207,715,601,535,890,485,889,200,
666,035,146,915,654,913,331,579,678,598,020,850,646,270,454,359,887,733,081,
124,197,084,927,037,651,159,727,586,976,288,605,791,836,653,701,631,231,323,
519,989,489,350,738,045,438,491,194,153,810,051,431,694,863,007,024,113,421,
886,131,842,443,594,253,231,831,214,123,550,955,334,261,428,798,332,483,350,
610,605,447,299,538,651,449,087,531,703,457,662,326,964,907,830,048,156,026,
942,782,130,523,423,542,199,256,160,306,201,937,076,760,892,442,942,850,009,
838,442,139,691,219,367,561,006,324,118,802,252,845,057,182,464,724,840,515,
835,538,081,295,220,776,599,264,402,995,833,192,346,044,649,797,465,572,850,
074,821,090,190,651,659,534,798,112,354,737,361,187,014,959,527,766,804,240,
518,028,219,439,934,678,933,395,141,581,498,553,205,231,875,540,029,554,004,
994,162,339,849,669,661,311,641,377,657,769,611,576,388,758,686,700,080,247,
385,517,407,504,023,418,922,660,748,812,914,985,619,059,792,810,127,663,672,
353,911,658,721,970,410,287,339,892,280,630,905,178,980,619,335,138,056,983,
433,009,243,420,737,260,734,343,305,670,101,777,844,978,275,099,701,889,026,
964,018,803,286,624,173,410,109,040,413,326,232,633,207,049,109,660,860,062,
825,039,135,469,990,717,965,784,752,253,034,252,281,391,794,576,942,956,010,
420,140,485,217,542,397,615,032,152,323,222,424,743,873,087,344,236,316,567,
723,138,876,015,549,600,484,338,637,418,455,242,273,692,432,721,718,931,389,
438,101,403,417,406,744,426,386,020,585,199,768,849,209,700,286,579,155,268,
625,939,313,120,133,986,280,077,663,484,054,966,803,312,827,428,461,164,092,
315,347,440,089,813,449,063,055,165,100,129,511,477,370,427,898,981,535,122,
327,312,464,199,293,591,913,563,028,144,961,000,887,640,805,986,154,174,784,
026,989,016,377,080,644,036,940,547,163,872,541,639,028,487,457,781,981,455,
505,969,832,823,227,042,477,578,730,880,540,434,346,836,167,900,179,355,024,
756,598,722,770,978,464,848,718,542,700,505,843,047,120,924,988,719,744,411,
823,833,200,252,641,241,926,663,085,641,455,250,483,641,415,431,834,262,140,
987,628,336,985,763,109,522,649,544,464,699,635,954,375,147,509,029,842,076,
694,505,738,429,707,033,533,109,318,467,299,883,619,536,564,153,642,462,809,
133,541,679,155,204,426,375,601,590,562,365,605,453,234,268,610,214,200,343,
373,187,264,507,050,361,025,968,202,580,170,718,814,645,178,924,039,486,864,
760,784,040,628,395,583,346,843,122,689,396,722,640,633,357,400,346,574,350,
929,904,712,603,828,470,220,932,030,846,143,154,610,238,145,687,974,141,683,
981,498,800,238,534,815,806,345,936,170,766,306,912,899,555,481,596,021,565,
816,310,237,087,838,285,019,709,619,928,912,882,265,297,705,618,394,737,306,
469,617,384,348,055,879,822,529,631,745,932,999,048,530,011,380,261,063,193,
609,642,449,761,535,037,791,726,716,432,586,683,602,852,373,228,473,580,005,
531,115,599,663,938,036,263,454,936,354,235,559,805,531,334,831,755,045,621,
472,936,427,324,577,601,993,173,874,054,384,427,072,574,798,862,200,092,624,
859,540,282,217,473,244,850,959,259,611,667,828,719,398,788,768,943,779,373,
697,665,074,359,209,744,715,082,570,791,599,563,933,039,504,533,653,456,632,
484,651,268,226,612,904,989,348,667,619,720,407,922,984,513,471,744,502,066,
385,863,995,689,277,287,713,901,100,779,204,205,075,828,393,687,894,916,629,
440,350,142,118,785,235,777,848,461,798,544,295,492,476,354,604,567,429,895,
276,840,046,150,967,877,111,198,540,236,932,594,269,272,069,947,491,402,941,
199,968,097,933,956,286,763,421,134,478,050,360,350,085,487,485,132,813,911,
623,656,731,787,297,058,386,583,019,260,828,502,595,697,203,563,016,725,266,
599,955,382,447,905,573,128,800,331,430,169,000,231,611,643,150,718,846,297,
427,796,940,708,669,798,704,531,702,702,184,604,603,947,508,423,034,945,517,
230,242,256,635,212,508,793,099,340,364,422,829,045,526,733,485,963,636,406,
589,821,457,517,956,425,220,270,284,292,664,081,023,436,277,644,204,746,306,
917,514,351,077,935,020,891,732,085,111,188,510,248,451,007,206,354,322,860,
342,790,767,499,231,828,432,670,907,755,453,528,436,056,357,756,018,913,097,
255,352,428,665,441,438,606,358,403,392,820,840,674,623,776,503,183,058,229,
418,601,615,178,689,625,219,006,355,460,578,883,645,596,001,545,965,804,869,
740,343,754,514,567,326,118,969,357,333,460,430,611,071,898,273,721,565,658,
161,093,259,609,646,455,989,741,309,700,410,604,327,783,694,892,429,593,253,
930,295,560,190,045,999,489,106,988,395,663,196,844,593,560,046,297,088,469,
288,003,477,383,710,416,209,813,840,481,869,323,310,755,403,644,834,071,121,
667,672,208,779,397,394,739,391,897,041,778,703,543,666,368,161,984,719,145,
446,276,666,161,789,767,961,468,210,177,881,064,708,641,948,013,747,063,906,
019,867,185,022,502,587,564,820,413,172,914,059,231,358,736,164,847,362,982,
804,486,389,460,592,147,308,883,538,610,017,755,204,177,275,600,362,844,623,
451,974,463,073,018,218,022,987,721,392,116,233,415,884,338,018,267,523,340,
708,801,047,050,417,463,687,941,325,014,041,047,228,948,260,565,880,968,539,
567,811,312,936,886,702,230,612,614,435,139,564,567,059,285,110,732,193,451,
650,908,977,048,321,687,486,946,473,913,108,331,933,402,752,208,445,477,436,
921,435,286,135,676,705,863,752,610,512,800,374,091,031,412,137,067,552,864,
995,427,996,914,214,894,079,518,115,634,632,582,605,304,896,147,540,069,347,
120,658,393,947,210,825,457,567,477,653,622,981,260,604,661,420,604,922,420,
330,534,098,819,364,546,446,622,491,737,750,668,529,760,941,822,871,103,028,
204,855,075,037,344,311,750,867,737,808,722,837,768,243,138,019,499,762,760,
532,741,917,620,606,287,250,637,502,834,678,878,133,775,080,980,599,908,865,
995,393,603,450,643,632,236,644,099,785,267,222,276,433,331,764,576,955,386,
901,645,288,440,914,456,926,804,805,272,963,330,710,579,558,662,625,831,171,
170,319,428,367,057,621,254,889,761,212,003,971,073,418,440,536,495,778,806,
041,712,471,404,663,537,495,130,550,751,949,774,775,621,011,431,291,403,312,
143,467,037,512,348,644,569,326,264,300,481,236,227,073,929,502,972,317,062,
165,419,744,120,255,622,165,121,586,519,428,018,164,573,422,081,173,565,029,
836,827,620,699,161,416,920,069,227,135,977,565,103,386,411,727,398,220,471,
470,479,215,827,987,484,576,578,750,419,306,227,620,739,214,554,371,350,542,
909,097,397,793,070,873,963,141,706,700,295,757,727,091,887,315,138,057,118,
876,528,207,239,708,978,385,111,379,318,881,063,377,515,693,083,340,849,442,
637,526,527,502,112,578,370,407,563,087,356,127,529,770,076,909,131,268,767,
318,584,570,397,725,181,605,959,646,942,237,985,159,696,315,182,662,293,676,
323,969,158,488,449,690,741,201,937,878,008,665,917,594,755,244,305,028,470,
834,491,293,131,220,917,846,391,858,949,278,846,249,319,379,528,298,851,875,
131,548,070,812,785,086,031,756,693,477,457,577,151,578,794,530,072,717,017,
799,100,332,409,572,050,595,328,607,421,933,561,599,191,053,192,237,761,003,
752,068,078,580,067,547,335,357,485,656,109,202,594,300,185,700,005,948,132,
374,789,185,750,358,099,955,347,579,060,409,169,887,429,711,834,907,101,233,
965,240,876,358,609,801,080,131,690,129,033,135,576,542,448,956,913,233,695,
855,480,758,328,133,544,725,880,275,256,287,635,767,614,752,862,186,596,751,
217,936,321,177,921,929,860,829,697,554,456,954,900,060,957,654,268,537,787,
979,294,489,128,920,721,016,323,825,033,837,125,484,416,604,193,951,467,679,
135,429,711,859,050,333,620,741,630,408,732,450,906,906,353,522,630,184,515,
408,820,454,312,526,733,844,622,694,994,192,552,015,959,042,550,581,826,746,
513,157,044,710,714,211,708,278,803,314,595,525,076,793,166,709,553,895,376,
285,567,709,983,947,006,859,310,775,604,471,144,664,402,686,824,801,809,581,
222,829,310,437,838,046,287,156,003,518,748,898,020,657,721,317,870,068,395,
939,470,400,420,706,226,975,648,473,416,453,802,651,930,021,289,584,387,983,
695,915,369,253,977,345,447,645,306,741,945,312,940,860,012,785,188,066,554,
305,943,781,696,368,723,894,900,499,820,337,954,718,384,422,915,338,528,709,
247,552,429,101,998,455,333,422,070,247,371,965,171,275,961,841,912,120,052,
690,840,044,426,443,620,332,983,516,389,100,427,154,295,481,245,480,083,747,
507,053,179,193,543,838,246,638,052,852,582,470,429,077,695,328,327,750,120,
530,486,496,878,238,593,488,163,572,011,443,038,859,644,030,489,275,334,792,
331,112,241,809,426,041,145,628,249,218,616,918,290,767,508,712,815,149,879,
034,236,524,915,457,098,370,295,265,419,521,833,411,366,693,891,331,749,651,
131,852,406,687,376,598,349,625,861,628,561,829,465,735,462,909,836,775,386,
067,251,125,625,439,839,580,499,842,263,965,729,657,857,674,790,230,070,421,
036,770,755,402,126,426,359,077,755,764,874,273,675,451,505,533,714,456,781,
053,709,440,404,782,241,795,216,659,292,596,625,444,417,883,206,537,462,786,
360,794,783,561,318,590,378,287,033,887,000,553,971,687,931,380,737,890,400,
964,744,028,118,312,766,060,244,329,005,780,314,739,721,628,644,596,173,886,
316,168,441,053,450,460,062,141,944,589,112,323,927,462,090,658,692,504,614,
883,971,410,713,718,898,468,152,609,007,918,248,939,641,560,426,963,347,513,
358,987,082,539,284,275,299,524,844,914,474,252,278,779,515,832,907,560,598,
262,846,520,467,577,126,327,417,323,963,965,241,383,792,134,630,128,742,686,
203,065,123,922,321,023,494,339,287,804,233,892,571,632,395,050,717,291,036,
550,119,521,782,169,729,226,033,156,463,160,424,978,896,851,016,321,797,773,
910,963,047,066,660,858,650,185,457,338,884,135,068,692,468,614,371,081,206,
446,847,350,427,457,998,568,277,067,627,002,665,950,727,113,150,290,543,964,
586,689,861,702,660,054,289,043,230,219,591,998,863,499,429,494,391,172,992,
882,943,090,959,074,413,709,650,308,873,893,680,106,603,089,585,255,557,108,
180,404,345,022,978,314,116,474,718,946,713,202,624,267,614,385,232,968,686,
773,096,698,155,211,833,585,871,002,512,730,089,088,133,145,171,931,967,123,
963,768,110,182,326,939,342,797,156,232,156,758,737,254,710,179,228,013,124,
515,629,696,299,304,551,797,104,253,727,000,920,759,886,646,750,098,757,418,
346,154,782,619,203,527,029,247,005,810,218,632,004,285,151,992,511,202,545,
811,198,303,631,071,571,150,954,758,598,506,597,757,945,703,456,851,946,378,
356,609,584,945,137,294,397,196,177,692,087,961,861,749,195,055,458,182,548,
018,230,615,249,206,497,959,088,306,443,262,839,933,440,279,910,590,819,200,
885,075,305,406,478,044,886,976,422,241,356,918,222,700,286,253,902,952,280,
663,618,266,272,473,341,151,421,705,318,864,519,296,557,934,092,124,950,118,
743,947,809,394,682,464,026,029,744,815,469,955,212,914,516,674,745,234,914,
522,474,367,755,006,380,884,749,184,688,070,617,763,334,204,004,405,271,115,
948,224,088,075,035,144,454,122,943,283,412,456,188,009,015,660,344,282,121,
240,325,666,642,989,930,682,545,424,566,121,488,042,438,900,164,385,887,824,
831,042,951,895,588,611,661,255,766,138,089,586,568,846,425,244,987,380,131,
819,820,467,822,909,042,434,948,977,679,701,912,796,835,069,222,868,186,756,
589,960,702,113,800,991,773,056,347,095,461,235,688,560,713,399,948,572,185,
855,069,803,280,595,116,102,138,068,086,910,876,360,520,667,250,590,578,095,
527,219,916,508,425,629,377,610,188,228,789,687,231,996,191,155,239,324,229,
058,951,401,016,654,268,127,619,651,078,060,128,410,583,209,287,497,425,808,
518,186,415,526,218,932,619,849,221,958,663,330,268,135,804,653,909,502,543,
135,700,489,415,716,637,853,570,686,938,509,565,474,631,715,998,635,829,441,
921,438,008,858,403,546,433,871,022,400,590,705,064,778,199,680,772,657,986,
255,100,238,535,725,868,201,282,348,569,017,949,502,114,157,751,208,819,258,
964,900,843,096,837,626,272,179,588,659,423,427,940,847,102,583,919,413,947,
319,350,611,989,884,507,557,449,787,397,114,853,287,838,410,407,171,105,210,
923,265,311,387,182,956,260,175,761,642,877,977,070,435,179,966,880,281,951,
634,064,552,403,888,159,338,331,636,588,715,786,601,623,142,866,054,191,087,
938,176,302,282,244,222,753,173,305,501,128,263,173,363,300,733,594,118,604,
698,918,814,416,059,667,924,922,261,708,505,894,022,208,108,731,650,758,370,
295,122,065,583,830,021,914,299,768,841,086,094,355,267,176,387,322,602,977,
102,870,087,057,294,697,276,932,327,849,673,701,162,928,424,133,527,245,075,
612,551,702,335,253,736,624,967,083,221,849,468,260,058,336,309,912,139,752,
680,083,357,837,694,338,344,588,292,409,241,634,535,506,881,310,618,248,357,
829,624,859,255,408,308,715,957,275,905,936,516,505,484,859,773,145,546,553,
471,556,972,859,442,613,640,908,211,612,914,144,950,668,854,247,820,507,632,
638,830,133,348,329,533,873,945,328,505,484,499,409,153,494,486,097,815,866,
533,893,271,219,756,024,372,074,670,400,049,562,157,755,033,574,101,255,636,
363,949,705,892,101,496,432,805,535,884,874,479,836,220,723,828,912,174,647,
785,069,520,095,694,953,104,546,926,772,845,031,757,647,069,279,783,409,604,
775,480,476,775,117,136,830,808,259,655,338,126,395,254,968,245,700,748,849,
268,384,214,221,532,848,729,348,566,452,040,178,653,811,525,903,521,592,262,
178,244,836,350,225,210,565,698,821,038,781,198,921,465,639,296,406,989,769,
451,031,342,739,369,177,753,577,706,001,015,778,417,243,889,432,194,910,963,
740,172,448,775,349,026,904,787,250,494,926,894,294,680,077,805,751,125,555,
649,899,209,748,225,256,482,748,271,157,118,871,193,977,593,138,821,512,372,
112,170,327,906,539,254,623,246,736,697,698,226,081,292,712,420,930,154,678,
530,514,771,856,078,735,343,932,479,011,124,734,507,218,555,657,777,685,559,
634,125,000,024,063,048,735,283,804,617,485,781,608,415,875,445,125,209,495,
131,111,611,508,781,401,023,932,870,031,205,352,675,691,982,812,883,254,245,
507,186,447,163,166,522,581,072,687,126,652,318,068,146,312,359,725,160,851,
895,352,833,015,077,254,931,561,368,033,545,924,444,333,849,116,407,846,110,
810,045,258,344,281,474,294,087,058,648,971,256,903,408,760,613,637,611,671,
934,335,967,899,054,417,724,837,957,821,169,111,923,387,301,902,277,184,938,
172,274,304,403,080,924,250,347,849,360,855,874,961,079,268,880,522,770,331,
882,551,875,760,351,221,080,287,493,351,264,126,717,066,243,904,720,545,514,
061,683,091,298,991,790,506,923,166,022,049,353,048,341,348,527,502,481,708,
245,183,404,641,590,241,033,576,599,612,400,536,145,413,676,285,372,136,411,
680,080,570,862,917,528,016,542,783,606,474,084,202,465,460,861,140,099,319,
640,626,864,182,286,328,255,572,392,196,867,362,218,453,592,153,561,412,279,
492,666,594,498,689,439,583,748,895,189,204,146,755,442,575,938,414,624,039,
680,462,967,524,352,085,408,198,398,391,942,285,881,552,611,637,115,772,299,
659,212,017,066,176,254,360,770,508,621,562,967,881,482,817,088,580,181,154,
258,431,472,558,085,266,190,092,455,365,568,275,179,513,344,953,142,896,110,
921,944,453,993,493,821,581,910,867,855,992,772,048,930,994,966,982,162,862,
829,842,202,226,721,315,384,742,225,542,756,646,995,333,654,712,238,971,901,
511,173,652,770,676,150,766,812,915,196,574,888,868,165,501,337,967,323,164,
672,482,160,976,848,719,912,216,100,916,578,876,026,362,558,366,865,039,419,
763,800,963,854,871,988,341,786,580,456,826,643,057,304,954,500,166,496,007,
874,610,574,819,791,092,710,372,538,970,477,155,213,752,803,564,534,676,528,
561,919,805,097,931,316,785,006,298,957,322,630,790,846,848,422,175,962,096,
141,751,018,251,298,064,453,995,997,861,772,227,979,424,752,854,967,591,164,
564,241,989,584,372,040,640,471,865,206,842,021,052,322,749,915,471,451,975,
962,642,132,376,964,241,517,159,210,048,355,657,932,435,281,583,542,750,118,
927,991,570,720,031,881,565,081,171,286,426,326,758,479,898,941,561,883,711,
432,515,930,735,044,175,672,106,054,427,305,648,096,039,893,539,487,956,666,
374,359,955,531,582,230,872,853,518,412,513,642,438,040,205,406,736,231,147,
403,368,048,509,240,936,032,234,159,310,719,928,154,616,599,603,881,534,775,
756,048,927,110,756,512,264,240,515,952,604,610,202,712,512,979,252,388,366,
208,727,186,703,964,317,358,511,056,860,708,224,470,529,427,714,485,188,709,
834,665,247,276,378,296,262,444,372,327,467,077,231,480,836,263,261,836,611,
289,029,998,891,336,481,232,300,994,252,213,278,175,644,364,580,323,827,642,
399,349,752,417,740,543,797,061,728,328,075,362,576,638,466,909,646,573,076,
876,728,420,268,034,568,659,455,860,025,401,047,635,360,673,877,739,555,676,
769,069,745,036,317,193,658,010,820,508,124,486,960,096,985,581,252,547,711,
972,299,739,412,810,820,446,774,563,052,062,238,333,725,291,204,374,712,681,
296,116,188,300,443,492,722,481,357,558,245,353,590,041,772,206,479,654,969,
964,490,128,311,668,501,701,762,194,241,498,137,763,839,464,762,375,843,912,
425,632,095,829,825,484,586,795,865,790,101,542,480,625,943,817,930,467,332,
904,625,867,457,329,631,823,699,112,744,035,649,273,535,805,983,222,078,260,
012,676,232,343,865,961,689,064,169,190,126,565,014,812,758,843,405,608,461,
216,698,368,476,490,836,616,935,196,240,771,504,857,291,985,371,435,040,463,
447,542,084,818,354,070,644,118,397,257,137,567,903,673,736,296,844,008,684,
357,633,309,818,658,281,508,738,383,837,780,113,154,329,709,828,216,568,587,
345,891,831,030,305,422,183,968,278,204,443,698,997,332,908,951,036,104,620,
521,886,093,092,768,766,942,887,887,519,718,665,277,042,989,350,970,019,997,
932,207,293,165,310,167,369,822,535,583,781,329,639,293,903,348,916,315,127,
316,298,682,083,612,144,860,674,514,195,319,935,355,550,737,299,374,396,294,
033,896,596,823,018,644,579,681,391,760,851,385,727,693,790,814,347,090,271,
438,126,927,102,151,891,907,293,100,077,329,176,573,539,535,457,389,947,412,
524,253,497,941,804,293,153,646,355,894,679,155,126,317,529,673,220,757,450,
930,757,135,025,987,293,849,063,225,983,588,079,041,789,727,099,856,136,288,
328,046,167,939,891,632,842,585,656,774,916,441,740,856,792,947,078,970,702,
653,971,955,105,672,591,277,513,882,082,009,672,685,111,444,253,270,821,419,
019,025,061,524,127,380,261,211,224,561,364,803,699,352,339,906,465,196,793,
538,307,564,170,787,310,406,531,595,207,484,134,062,105,706,527,378,002,672,
040,122,398,524,056,842,775,371,605,027,900,576,621,429,770,573,857,258,503,
585,823,981,376,873,070,545,277,058,122,974,022,158,122,980,494,104,231,093,
923,920,289,273,687,375,413,603,408,479,563,888,561,463,906,846,187,528,514,
883,069,772,964,714,017,814,971,471,154,639,453,912,865,387,621,447,682,541,
589,819,470,622,350,619,556,335,628,326,257,783,191,170,740,443,541,643,476,
410,358,386,986,334,917,479,214,178,273,742,992,584,129,204,147,001,510,586,
685,793,875,219,563,117,397,698,874,747,975,742,078,896,602,448,023,376,038,
787,009,075,334,352,405,392,153,880,773,585,136,708,691,443,611,166,657,490,
682,867,476,256,738,147,565,029,104,372,185,828,339,318,944,678,253,739,518,
122,742,848,456,463,593,489,448,483,206,924,555,192,411,630,687,610,130,453,
814,705,707,202,287,437,498,694,296,616,741,936,921,425,230,643,762,469,932,
851,931,839,377,702,210,069,689,634,935,610,033,891,327,841,841,240,989,754,
837,450,548,253,107,400,160,150,800,426,488,603,174,484,503,645,640,068,191,
307,382,292,535,290,817,128,666,103,831,554,167,621,224,384,675,318,220,425,
314,021,955,911,538,929,284,424,345,399,662,997,927,207,614,218,049,619,597,
487,040,938,552,387,388,690,717,558,649,550,357,281,087,724,374,770,894,949,
105,414,498,051,562,002,336,618,625,866,231,565,182,696,461,378,770,732,808,
164,235,556,722,908,260,446,567,356,365,427,009,194,395,028,557,966,890,558,
654,112,432,608,924,762,070,312,004,778,440,055,675,921,404,338,438,614,751,
775,766,278,402,139,234,075,333,778,169,550,705,449,494,179,382,556,022,496,
163,325,228,495,614,597,768,852,153,430,287,022,166,308,349,206,695,022,449,
753,584,124,491,057,372,171,470,448,564,841,385,177,143,196,256,718,100,960,
329,464,337,266,220,248,408,680,290,388,069,687,437,549,163,415,818,285,163,
866,423,804,199,764,381,547,906,834,500,238,281,868,289,039,105,829,433,936,
501,227,064,482,114,077,768,378,858,769,917,978,703,595,065,763,760,691,994,
494,443,038,068,298,255,438,868,821,892,531,060,019,911,554,173,491,698,129,
327,977,004,986,325,957,017,444,633,784,092,336,253,608,009,064,742,091,014,
842,239,901,688,217,567,615,115,226,430,357,435,524,855,132,004,203,160,172,
785,017,181,163,270,913,842,649,483,304,369,964,940,961,733,396,745,008,653,
755,054,020,843,155,466,972,079,426,364,926,841,214,195,771,488,613,096,204,
305,242,218,025,773,624,714,493,296,509,842,934,479,468,780,439,510,229,432,
551,281,435,072,317,381,948,324,721,481,980,362,164,211,090,923,889,034,517,
382,117,604,064,826,877,246,210,189,838,735,939,233,896,971,889,989,767,734,
452,384,620,887,522,130,009,896,283,442,550,653,187,058,658,316,223,744,110,
926,736,779,004,299,117,555,302,788,450,201,092,473,921,021,869,793,216,425,
079,010,183,606,006,742,864,072,449,611,286,331,495,746,071,681,146,584,015,
694,597,076,836,387,831,770,769,177,312,982,708,524,218,532,989,560,828,349,
969,983,627,601,982,575,683,196,419,147,981,050,483,349,225,702,818,372,203,
101,640,243,333,366,335,433,845,104,903,081,771,406,327,896,511,323,816,049,
736,907,577,920,388,151,570,870,785,631,434,840,184,478,013,198,251,213,315,
995,918,579,551,223,007,091,077,219,414,638,366,717,077,639,218,467,511,167,
255,056,098,909,539,667,334,823,683,406,588,940,669,726,372,341,659,542,645,
812,524,150,339,648,728,374,484,183,795,371,996,820,004,756,703,916,687,036,
425,313,447,868,497,631,134,176,860,712,839,749,692,081,543,240,116,328,700,
213,618,151,043,527,548,853,329,751,234,065,907,633,211,612,388,397,978,627,
383,949,952,705,385,907,013,256,721,650,743,615,565,931,403,392,454,173,936,
337,761,960,110,880,511,631,922,921,367,215,349,009,523,039,042,131,299,446,
996,490,557,233,469,624,753,908,737,011,521,018,527,484,992,973,991,084,947,
701,165,911,913,112,205,530,997,104,175,846,632,398,517,752,950,077,060,900,
188,132,632,296,880,854,337,331,837,632,843,490,918,577,711,992,600,163,926,
875,151,917,298,027,900,372,748,136,462,459,305,480,963,594,555,162,571,029,
663,480,839,295,059,985,694,678,991,618,554,256,176,784,107,726,111,352,247,
181,938,236,499,380,639,534,763,575,530,828,954,766,101,432,228,252,380,232,
507,259,530,633,717,512,659,127,907,206,447,944,099,242,335,786,489,990,385,
706,120,852,246,724,928,881,191,752,584,611,836,057,370,893,789,040,143,954,
629,296,180,898,370,258,980,853,131,492,437,150,765,594,281,306,780,806,324,
560,646,805,575,845,899,646,849,113,565,513,376,769,100,406,032,984,528,189,
909,852,997,941,449,067,884,557,772,474,329,204,972,201,031,075,757,296,670,
913,288,394,157,350,936,679,096,965,751,377,830,279,626,142,837,383,295,799,
389,679,435,408,123,727,087,764,892,696,823,468,865,294,242,240,751,584,695,
596,403,128,099,879,013,658,984,270,028,324,746,656,474,609,838,713,441,715,
450,286,438,296,833,291,587,627,720,574,429,922,667,131,913,794,917,142,196,
439,534,503,480,133,824,622,068,185,990,603,236,134,869,394,102,003,977,696,
738,625,426,173,833,355,861,924,942,547,548,468,812,925,930,937,375,157,738,
982,662,173,316,107,121,172,472,782,975,962,392,636,329,769,634,428,550,602,
698,366,278,268,905,792,080,853,519,290,427,078,164,153,298,059,640,587,591,
232,897,646,924,806,788,687,525,017,202,538,803,696,681,710,460,429,371,197,
683,898,991,511,123,332,507,229,915,080,989,381,245,185,487,114,736,026,211,
894,709,324,332,112,386,579,343,278,712,622,316,791,882,890,232,784,859,669,
310,615,545,829,639,306,893,667,883,293,534,358,823,701,440,698,311,475,197,
756,581,404,259,170,397,668,581,637,092,233,712,391,656,045,647,888,037,479,
751,877,839,209,864,337,103,082,322,826,867,065,066,765,150,687,195,891,994,
000,500,770,752,454,579,408,992,846,621,612,306,048,775,112,115,306,302,990,
232,182,883,577,705,010,861,543,436,174,132,100,305,824,823,588,932,405,760,
397,118,713,048,197,901,897,985,031,865,527,882,816,694,957,446,191,978,908,
921,462,140,937,024,252,511,702,361,872,634,452,044,636,573,915,288,754,738,
320,398,009,037,129,801,759,934,749,721,015,136,927,577,948,332,391,073,172,
302,971,950,954,367,077,438,047,128,292,995,466,130,598,197,219,852,220,451,
927,964,393,805,846,465,146,229,970,096,094,907,764,050,210,766,288,839,835,
915,355,053,364,376,517,313,710,714,726,239,688,958,773,081,050,918,489,332,
268,889,818,685,078,926,846,162,476,966,270,944,798,279,237,388,087,577,329,
322,387,923,787,830,748,156,044,905,325,694,609,830,767,931,576,350,731,820,
705,597,401,020,684,114,511,155,603,555,078,395,836,119,741,489,555,848,391,
279,695,161,805,065,352,663,244,186,498,854,684,675,972,683,282,796,481,578,
221,689,879,591,474,450,689,413,015,872,491,841,296,691,548,225,173,601,276,
132,430,701,586,941,658,307,645,928,533,857,885,349,063,792,645,248,370,962,
666,780,191,244,877,627,332,377,835,583,471,931,351,359,744,075,445,933,892,
080,092,263,243,179,463,072,686,092,333,597,096,448,567,221,140,813,858,475,
748,573,073,205,268,520,833,519,775,323,239,213,434,215,250,914,338,401,873,
547,454,696,685,329,466,768,569,962,084,800,124,071,720,128,472,397,180,155,
089,478,313,152,858,155,754,819,692,280,950,801,144,830,982,369,915,889,564,
738,218,725,587,028,886,502,107,570,786,371,033,183,631,960,060,030,648,892,
622,933,343,906,233,159,852,214,452,703,686,676,682,248,192,315,871,394,563,
647,428,827,698,734,189,803,275,865,412,028,385,806,841,283,437,911,693,621,
148,034,534,489,404,995,912,253,227,423,823,913,392,297,781,366,940,959,809,
901,014,854,655,112,019,446,755,760,994,914,376,393,694,984,948,514,171,483,
046,318,482,755,983,203,755,832,582,713,139,782,377,078,543,223,145,634,599,
534,234,741,585,814,060,349,238,847,878,461,891,358,095,029,128,695,453,338,
783,700,597,958,170,882,498,023,675,773,965,141,693,509,243,703,775,500,868,
746,064,011,302,276,296,031,911,753,528,719,194,636,664,263,830,689,095,583,
353,810,695,720,034,666,418,358,646,140,417,399,350,348,944,655,172,502,136,
248,299,466,741,561,962,506,016,609,807,769,743,685,489,114,612,144,550,308,
014,629,944,749,727,656,002,789,523,282,274,455,735,336,600,117,968,207,791,
648,819,665,102,397,590,210,626,039,157,409,236,235,731,243,113,738,965,666,
777,557,709,584,041,081,704,557,504,858,504,748,548,009,426,753,988,945,355,
669,555,742,197,592,781,660,337,231,725,536,647,633,306,618,296,177,829,037,
155,746,819,336,127,883,668,591,179,022,884,800,582,090,391,749,989,241,033,
503,895,917,700,431,465,395,887,088,616,782,662,859,544,958,731,570,175,948,
953,266,745,870,490,881,492,921,155,408,836,689,796,610,776,796,076,372,363,
125,626,049,094,298,117,614,180,637,605,992,507,349,625,902,271,159,055,889,
858,989,437,038,612,967,343,123,326,126,947,930,604,024,790,793,937,314,086,
075,129,038,364,872,513,624,069,153,039,532,392,472,621,815,163,439,478,800,
347,674,096,379,752,271,200,500,821,046,854,437,063,156,135,768,102,412,886,
415,781,612,157,568,561,848,436,432,715,741,381,644,247,019,024,998,881,085,
173,062,517,859,374,264,945,722,303,447,237,018,729,447,696,235,225,969,783,
090,021,879,299,247,177,323,584,623,420,788,511,136,900,745,607,310,149,122,
938,723,045,957,437,855,512,502,660,339,587,729,583,444,551,929,366,478,539,
439,182,658,159,490,786,883,542,615,301,925,318,491,978,453,392,459,640,402,
535,291,886,508,750,521,250,427,309,913,982,030,780,759,587,556,866,090,946,
283,269,652,902,185,754,514,177,975,557,380,503,163,703,066,000,283,993,836,
253,351,051,052,105,546,906,249,794,620,518,951,682,096,819,505,183,164,796,
146,911,705,182,644,219,336,677,802,149,713,003,971,586,822,084,115,810,009,
329,104,871,316,418,644,873,285,053,844,229,927,942,447,986,164,878,376,253,
527,580,344,624,743,828,276,332,455,795,466,937,655,180,793,319,761,073,188,
431,825,280,338,740,435,786,389,939,272,897,800,856,940,772,473,110,362,091,
462,113,674,261,197,050,421,846,016,505,309,398,878,647,766,033,044,367,469,
387,820,075,736,133,958,383,866,599,174,116,613,899,413,272,043,022,530,603,
122,652,654,561,122,262,707,698,631,864,153,402,285,157,912,456,366,588,826,
212,931,664,111,089,856,893,752,610,327,015,733,584,764,737,018,493,436,379,
844,768,295,179,358,548,869,563,489,245,002,886,608,836,628,027,325,545,645,
656,368,587,105,170,441,797,626,624,248,336,756,064,428,731,246,449,033,760,
080,341,858,842,834,437,942,614,747,004,747,139,068,365,301,141,391,351,232,
567,547,678,694,123,832,375,179,993,127,271,549,481,771,466,208,618,179,006,
245,052,633,952,326,601,658,107,346,825,904,868,668,295,145,039,981,683,836,
452,689,183,360,281,525,776,394,298,909,825,090,181,379,143,388,570,209,736,
596,972,550,916,383,271,706,809,573,126,881,226,884,698,661,068,845,497,808,
879,437,088,997,060,187,623,225,369,097,792,561,233,413,782,418,952,820,055,
266,091,562,828,941,462,522,443,299,283,775,133,016,735,659,842,082,494,402,
832,046,665,998,732,191,074,252,515,283,162,138,290,691,304,019,800,151,375,
888,751,261,835,682,067,096,075,292,247,824,299,271,401,060,482,122,679,603,
698,227,466,747,085,444,326,997,178,666,244,328,814,926,113,699,404,399,912,
927,814,525,864,534,392,097,394,334,956,640,044,301,151,928,252,590,382,121,
741,647,479,127,557,055,158,775,597,104,961,349,610,089,003,275,887,956,140,
139,919,200,203,513,598,117,417,391,397,171,996,257,897,485,983,524,979,541,
136,087,453,641,606,086,083,616,789,521,994,303,582,587,102,802,332,108,274,
445,453,627,743,862,515,075,486,496,993,807,244,169,627,611,150,663,583,319,
840,524,873,732,979,134,632,378,709,530,614,262,645,176,335,031,544,910,419,
072,809,167,394,627,886,314,169,194,157,782,342,201,548,353,310,972,871,308,
023,925,106,527,876,184,414,739,173,424,399,021,265,078,455,003,588,387,914,
395,663,284,614,406,663,301,857,196,350,042,150,658,372,945,742,338,894,212,
321,639,368,579,946,549,009,020,792,405,042,256,922,536,820,807,289,322,778,
655,290,606,267,879,485,859,884,953,421,345,728,905,978,410,298,833,811,590,
789,510,032,544,146,751,921,512,937,237,600,246,692,695,351,677,043,278,294,
619,235,487,198,467,655,624,958,132,511,183,060,713,180,047,650,026,984,429,
895,486,317,278,852,927,053,387,577,402,649,006,568,681,465,094,532,406,466,
946,303,967,064,846,443,784,406,068,507,390,301,402,781,621,282,982,644,999,
223,063,215,580,245,127,872,222,340,347,268,943,623,539,058,126,896,752,608,
932,471,489,410,250,564,660,836,109,652,803,763,154,201,055,935,917,096,804,
102,068,316,475,931,825,252,806,829,918,465,815,926,519,906,423,590,828,600,
190,556,686,116,756,316,651,770,199,046,664,177,313,212,215,325,955,902,874,
221,597,292,594,229,519,063,145,418,574,148,722,820,433,653,616,296,135,905,
909,755,936,548,016,229,852,491,731,059,381,306,363,797,058,101,793,809,398,
692,148,329,665,552,589,748,689,758,579,257,885,666,350,995,171,005,970,784,
229,084,615,955,913,880,224,065,802,173,572,315,011,724,894,046,865,188,461,
709,559,959,000,538,879,493,588,988,300,290,361,307,631,602,870,703,031,461,
837,905,450,461,559,721,320,708,511,244,875,338,432,581,107,637,010,546,117,
215,914,336,403,903,510,537,046,823,697,125,303,051,238,627,119,160,102,132,
345,783,354,438,089,271,874,944,536,971,112,515,930,414,659,209,562,812,709,
340,254,817,808,394,696,682,541,100,126,809,003,581,864,485,549,759,409,643,
451,981,486,344,260,335,218,639,400,400,902,867,545,126,054,683,616,956,620,
989,094,994,043,581,883,669,712,989,482,996,955,009,201,763,529,435,701,599,
604,051,895,112,472,135,936,931,349,165,428,434,622,464,738,576,864,297,033,
256,386,001,428,486,900,512,151,091,569,661,544,161,607,164,547,943,381,322,
793,827,352,383,859,698,108,120,959,195,305,365,536,309,542,463,353,535,227,
649,623,682,942,237,105,076,464,956,630,807,393,155,864,489,230,119,994,057,
269,299,572,347,985,978,959,045,759,104,496,918,785,821,750,522,074,180,282,
677,936,252,698,568,907,516,734,234,625,808,618,598,887,302,571,656,522,446,
791,379,375,602,277,041,683,461,170,158,340,638,006,978,641,636,118,998,040,
370,710,267,345,698,356,219,963,746,127,174,562,057,263,530,777,287,141,259,
930,653,609,425,564,056,277,202,718,686,935,712,056,130,647,348,955,629,624,
244,225,311,615,740,716,931,205,401,907,567,919,785,382,625,262,020,813,425,
499,945,455,444,265,706,489,395,905,780,396,734,059,018,553,755,846,764,268,
333,443,521,100,169,585,574,775,975,881,699,689,886,035,570,028,373,924,209,
824,107,924,801,434,915,517,390,339,507,379,109,613,499,382,433,160,684,420,
299,631,541,472,942,801,549,813,507,335,226,578,398,879,184,854,702,995,121,
193,630,568,002,494,104,339,917,366,447,222,775,927,988,279,992,720,930,672,
374,337,867,580,711,928,495,987,667,091,180,628,123,965,675,600,950,689,520,
691,805,664,030,986,329,548,071,609,957,173,884,569,332,385,907,021,484,843,
293,024,189,446,874,488,975,917,042,310,057,036,498,771,574,648,128,304,195,
643,406,582,859,441,336,541,070,371,086,295,211,291,770,767,563,011,815,845,
820,485,613,049,969,299,367,627,055,624,341,000,316,439,633,297,012,207,328,
065,484,417,762,857,183,826,149,322,721,500,253,409,018,261,127,320,263,557,
347,476,059,585,126,615,614,218,981,310,770,698,480,311,680,143,255,771,104,
707,854,675,334,067,719,855,897,431,098,559,501,158,822,487,211,891,614,698,
305,356,790,643,074,104,106,678,627,393,293,184,592,270,647,653,221,879,476,
600,407,806,452,830,429,537,198,776,726,199,534,728,340,660,621,103,753,990,
919,791,010,504,455,250,494,824,891,156,147,010,901,523,583,383,115,111,503,
170,294,833,623,310,416,354,989,578,645,307,930,182,758,252,951,675,981,726,
486,515,840,427,330,578,245,913,374,489,156,424,445,984,433,248,195,441,266,
820,311,737,101,652,728,474,216,388,272,772,163,338,418,326,447,087,398,809,
064,165,907,149,728,064,320,771,170,422,734,267,414,657,547,534,909,438,268,
240,092,891,778,551,967,342,849,943,334,974,446,337,306,738,731,242,402,295,
369,547,960,170,600,336,375,502,986,948,089,110,912,668,624,019,785,670,584,
667,671,034,945,223,497,777,007,373,406,289,656,698,742,265,941,542,477,481,
220,880,986,625,434,393,825,497,585,547,279,324,819,927,820,664,602,653,021,
262,974,856,933,602,739,095,381,537,544,825,943,162,010,222,469,272,204,911,
646,098,041,063,098,418,162,761,256,412,630,587,410,079,167,328,169,042,452,
061,230,176,826,881,130,711,131,152,184,169,975,877,786,309,485,136,171,519,
207,491,380,621,016,805,515,514,432,771,745,130,178,180,536,722,756,890,155,
700,836,405,171,118,465,575,905,248,235,071,101,349,761,826,999,349,688,943,
253,742,314,536,484,051,980,523,879,013,294,664,164,684,536,532,230,151,171,
395,559,580,715,685,157,715,001,021,210,020,891,654,763,667,809,138,558,724,
726,580,304,093,621,796,575,970,663,889,930,377,802,881,654,514,081,471,156,
156,273,100,772,622,496,170,341,975,455,043,153,174,515,067,220,272,880,383,
333,667,362,174,504,470,267,281,477,095,735,991,779,160,654,590,129,298,221,
935,584,872,020,552,791,360,181,969,773,237,063,096,782,597,909,477,518,248,
878,271,432,811,835,288,558,721,511,503,492,683,710,123,055,531,390,182,657,
889,383,031,743,200,275,624,738,642,325,119,487,879,246,033,718,979,545,225,
205,885,962,311,074,552,123,253,831,110,233,763,394,747,207,129,710,379,496,
465,323,220,204,460,352,327,083,078,708,919,191,693,634,098,113,740,664,158,
317,628,848,206,627,013,013,662,216,144,224,110,465,101,080,948,583,168,642,
614,432,153,472,610,602,417,842,948,094,100,338,462,840,503,887,589,862,139,
428,138,207,321,252,140,656,499,469,412,732,448,723,498,481,578,663,920,606,
025,892,997,536,589,857,116,459,153,149,734,721,804,036,798,894,734,996,573,
641,046,424,020,112,727,608,932,176,428,366,366,735,360,590,791,675,002,879,
270,592,417,391,057,093,668,178,949,799,671,323,215,008,922,627,139,660,623,
765,868,907,012,357,448,121,559,800,450,800,287,142,557,121,793,930,102,609,
041,016,142,714,276,834,267,122,084,014,216,203,931,608,761,334,292,507,994,
197,642,163,111,594,090,413,579,057,068,238,072,691,945,596,990,416,490,019,
053,622,394,352,934,756,965,562,940,768,299,834,984,673,774,577,424,000,722,
908,198,249,918,519,285,683,388,711,410,090,296,839,518,403,869,494,359,664,
430,746,300,780,103,055,435,440,342,109,543,029,377,137,179,331,848,945,821,
263,317,650,489,770,528,989,960,092,983,107,357,501,841,872,527,815,213,948,
038,879,782,550,383,815,289,236,360,861,844,601,540,757,434,517,659,506,027,
533,849,701,059,835,774,549,186,706,253,670,468,384,547,621,983,345,132,030,
967,754,248,824,237,920,379,470,460,073,734,062,717,993,840,379,412,382,761,
394,521,037,740,549,634,558,561,395,468,069,793,554,581,140,005,693,217,831,
829,869,636,753,876,358,890,703,825,404,376,508,377,792,973,125,581,876,917,
031,922,136,937,362,536,852,206,961,050,409,304,525,023,906,958,245,429,781,
942,190,871,533,084,196,228,259,791,402,823,376,026,168,387,622,010,659,340,
407,314,717,310,885,767,024,518,717,862,454,052,786,610,688,194,223,524,050,
655,860,815,963,012,864,216,230,766,375,723,988,904,751,681,146,980,004,899,
572,470,099,400,033,044,652,036,790,940,396,637,911,256,377,458,261,451,768,
434,011,681,335,804,358,912,909,455,006,962,909,814,671,291,974,038,570,407,
407,981,101,250,259,921,727,754,999,599,833,676,030,110,075,322,615,059,025,
666,225,479,279,134,989,579,401,759,671,681,819,687,870,956,452,825,564,909,
655,082,506,759,330,689,853,662,151,997,085,518,659,404,667,371,991,489,338,
855,036,604,355,502,158,806,448,587,537,200,543,469,835,144,733,252,075,578,
776,794,968,909,435,959,146,908,568,417,647,604,548,968,319,767,532,900,572,
651,297,755,667,974,037,849,353,501,582,236,218,267,675,344,904,720,237,375,
223,348,910,178,598,471,867,381,256,926,415,404,832,277,667,586,770,339,276,
295,111,708,095,567,062,700,643,926,160,901,974,823,915,665,168,835,412,715,
146,545,310,205,913,656,331,767,846,034,644,224,820,523,892,767,397,007,317,
913,180,477,307,688,328,123,181,306,870,474,732,492,597,852,743,284,221,147,
797,174,288,436,862,740,851,416,078,101,752,601,920,621,023,700,139,749,032,
702,664,260,302,950,010,644,585,493,746,467,820,607,867,477,337,765,681,184,
497,025,784,597,704,274,453,136,627,595,623,500,481,690,481,087,694,055,271,
000,833,731,898,356,308,560,016,969,296,897,520,857,389,369,721,656,879,712,
873,253,515,946,285,741,002,668,003,522,180,497,029,184,192,684,796,858,582,
350,002,014,918,894,684,368,158,312,809,582,718,497,819,938,289,434,461,071,
829,123,638,221,322,907,527,837,845,273,104,698,902,767,615,214,957,237,070,
405,520,485,657,723,835,062,201,896,797,777,983,136,476,766,344,816,213,425,
107,330,178,232,895,142,475,936,711,558,181,178,137,633,890,278,513,761,913,
144,330,704,910,881,337,211,137,645,465,576,856,711,086,550,315,035,226,008,
102,186,042,617,889,749,520,487,797,528,311,920,445,425,113,696,291,645,148,
395,666,660,754,425,688,971,254,010,281,039,785,994,487,867,050,669,627,326,
483,013,996,362,415,415,374,115,332,166,609,073,277,258,877,089,590,564,891,
585,629,005,872,241,618,979,338,020,724,731,410,405,679,008,870,622,761,344,
927,006,131,031,520,830,282,835,258,877,632,676,437,077,489,456,661,655,201,
507,119,173,776,724,463,014,611,800,734,918,703,044,453,957,164,486,106,377,
096,474,914,771,103,230,624,257,813,916,011,910,461,707,001,486,553,788,234,
360,749,416,452,057,546,401,042,418,819,767,816,269,913,416,917,549,120,872,
743,864,912,491,545,311,555,866,042,710,908,790,196,269,418,511,858,921,510,
163,712,305,432,535,414,195,839,846,448,355,054,414,738,524,496,597,588,149,
765,172,788,054,449,382,404,501,900,017,446,689,722,497,009,503,082,142,970,
764,136,624,261,275,015,018,880,751,764,922,395,102,559,035,149,199,342,346,
973,345,380,808,007,217,953,080,620,519,891,750,695,053,568,432,209,065,661,
234,243,426,970,418,082,824,367,098,454,533,969,594,650,206,205,841,638,342,
163,453,999,538,288,930,748,134,169,682,254,290,212,078,192,304,069,473,768,
916,047,367,305,393,105,337,885,317,027,188,768,669,990,955,535,530,783,022,
832,317,822,887,105,881,627,218,897,169,158,469,451,320,783,655,780,380,135,
201,027,490,870,791,264,847,196,807,290,860,920,858,511,371,567,698,804,474,
123,374,251,960,811,807,089,871,165,346,108,354,145,381,397,695,890,929,868,
736,005,788,849,159,674,597,640,462,907,801,213,504,020,263,012,027,668,811,
220,904,147,401,175,761,530,592,629,297,296,588,220,838,343,353,852,725,580,
466,175,346,099,922,073,789,019,509,078,913,765,348,224,549,183,051,987,930,
715,737,336,721,398,581,423,454,659,478,834,459,266,202,787,891,215,494,099,
633,959,933,036,719,498,091,142,147,136,911,526,009,868,625,054,892,756,510,
241,946,679,973,745,659,505,329,390,644,970,686,160,127,915,201,025,746,454,
434,061,310,468,864,445,638,685,111,266,041,547,419,501,438,831,796,663,572,
574,370,544,572,951,131,376,760,982,204,455,635,047,327,400,475,435,498,240,
786,907,032,876,160,015,938,559,515,383,477,192,090,757,442,180,248,872,419,
198,875,899,983,047,933,913,957,207,591,323,356,990,315,586,938,661,675,241,
605,499,736,016,745,018,797,145,308,250,966,731,748,325,758,794,002,681,882,
179,008,827,313,830,924,911,459,377,992,531,233,199,617,241,419,848,471,745,
508,941,962,808,491,364,655,821,213,457,493,500,694,935,716,650,898,411,841,
686,798,098,509,942,818,936,646,172,470,616,976,511,971,457,016,696,292,670,
842,699,930,049,977,217,550,129,935,254,332,767,435,370,340,595,788,358,242,
144,199,614,483,095,118,435,460,817,236,712,661,876,940,449,672,050,638,502,
949,202,394,350,406,115,947,209,070,090,117,403,724,989,852,231,372,559,056,
703,055,392,892,268,706,106,824,909,274,659,552,098,202,107,620,070,567,187,
158,655,330,260,937,500,506,631,875,035,563,989,846,326,999,074,200,427,989,
342,191,190,670,761,593,403,260,661,977,749,311,033,052,226,782,545,711,431,
799,838,253,346,334,444,176,331,423,117,876,425,304,359,346,080,864,996,167,
088,150,627,146,328,939,799,609,964,609,768,302,594,745,017,522,644,141,298,
153,128,004,059,566,085,703,091,760,622,409,023,368,452,950,530,675,081,523,
860,448,689,115,267,843,017,894,023,692,356,931,303,440,793,672,643,247,553,
383,145,314,990,254,769,467,096,620,296,301,964,355,800,571,390,157,790,651,
880,788,042,219,651,609,697,374,812,380,467,541,182,922,604,183,976,195,852,
012,889,522,940,065,702,241,793,232,319,850,698,703,514,162,712,902,905,443,
352,952,059,813,057,015,750,982,294,888,335,898,315,519,573,817,662,200,411,
049,211,806,373,601,597,112,528,910,648,586,936,411,529,104,923,441,008,779,
953,712,265,715,973,501,611,824,637,969,801,684,317,169,631,149,409,113,203,
877,668,626,450,300,834,054,169,787,433,709,473,412,652,611,673,590,710,390,
200,944,220,672,085,847,548,856,011,673,151,551,629,799,625,652,038,155,627,
184,323,946,856,421,892,485,619,617,332,461,737,462,089,641,093,288,685,378,
540,928,909,974,436,343,534,982,028,595,042,147,098,765,115,154,314,944,914,
136,942,130,554,810,076,548,899,085,155,151,562,208,453,792,165,245,356,928,
899,395,547,355,214,754,080,663,735,689,933,501,792,745,866,116,366,212,167,
184,950,668,734,220,796,599,733,231,664,176,115,331,475,556,241,626,733,612,
380,222,761,229,310,831,246,849,133,791,191,706,998,665,423,154,684,733,909,
835,499,591,849,861,897,828,042,497,104,258,335,969,000,471,720,696,110,387,
524,661,077,182,684,518,781,778,799,457,022,539,663,940,212,106,283,856,616,
606,001,913,953,467,812,463,998,038,742,235,731,504,515,100,749,282,725,794,
918,799,873,497,678,321,758,964,030,807,747,955,308,857,628,906,449,793,552,
488,352,156,296,680,079,451,568,610,704,829,689,577,573,525,189,423,098,485,
351,699,446,411,916,692,730,069,087,692,105,554,654,816,955,042,757,117,317,
052,715,532,264,098,577,057,240,954,387,831,917,951,910,825,753,641,665,305,
099,340,699,845,140,761,493,212,488,765,279,387,283,473,464,432,191,170,829,
055,070,609,458,004,153,666,156,142,897,516,226,617,945,715,192,218,074,363,
109,187,033,459,986,967,875,333,021,365,076,430,303,417,473,511,581,970,842,
081,286,467,110,280,853,316,475,232,309,931,130,984,468,214,248,392,533,301,
086,680,724,112,874,041,688,585,891,976,857,927,319,437,301,265,632,869,143,
301,794,427,519,074,118,572,483,458,800,807,309,892,424,452,367,114,160,054,
990,412,976,900,596,740,646,459,089,506,806,182,525,207,636,147,802,308,692,
438,167,708,497,500,452,548,025,805,819,332,053,872,221,263,902,661,454,942,
097,270,563,799,899,997,676,810,602,956,650,847,615,122,734,204,998,477,371,
761,571,236,758,349,682,779,499,132,461,707,854,725,314,783,683,973,633,466,
788,745,060,234,600,434,020,219,673,890,446,842,030,957,841,990,461,036,638,
938,726,767,609,965,576,787,832,147,148,179,936,956,187,537,703,581,586,251,
048,962,507,815,395,756,863,482,387,594,211,038,652,240,673,358,284,625,094,
858,707,007,220,815,102,168,181,347,722,347,374,863,377,517,165,529,211,535,
294,229,168,958,032,523,334,832,789,865,320,541,374,873,301,192,897,448,520,
346,993,217,108,290,219,978,421,918,545,525,981,052,959,746,446,161,633,065,
481,136,571,202,484,975,714,761,995,442,707,923,458,885,470,445,169,462,684,
382,032,503,554,474,987,347,084,738,215,213,913,202,317,825,710,928,806,584,
049,349,676,059,690,781,420,713,497,273,229,909,984,277,238,765,020,405,825,
556,015,028,695,878,378,373,684,079,500,455,282,767,661,881,556,105,777,593,
307,132,667,103,366,993,192,530,818,533,906,024,168,388,193,712,694,683,113,
108,982,115,643,245,112,645,271,951,764,053,656,297,898,111,306,275,797,794,
064,446,554,402,767,498,502,587,448,589,747,658,919,709,094,451,080,182,725,
252,600,640,242,090,880,815,103,122,282,355,664,831,917,258,782,967,999,856,
951,740,987,603,523,102,364,367,733,353,045,674,712,462,187,707,410,257,721,
559,227,687,611,610,293,929,446,173,177,466,328,351,261,088,671,424,302,550,
306,236,743,958,028,751,235,813,973,194,518,393,390,728,719,374,254,784,070,
782,725,034,670,488,457,565,922,037,917,248,864,209,383,205,679,353,375,843,
597,100,111,140,032,418,210,261,724,001,677,284,574,765,451,974,543,723,066,
629,439,929,095,073,392,533,827,771,836,301,261,837,333,599,486,699,355,612,
044,866,241,589,355,466,958,122,534,721,148,747,849,021,592,968,120,466,340,
961,229,117,450,474,019,837,963,299,170,926,227,211,137,197,447,644,174,466,
766,074,931,794,934,775,581,660,391,243,922,629,839,875,538,286,110,591,160,
801,215,689,022,474,806,624,084,524,959,872,547,165,537,482,855,841,360,358,
020,637,760,727,062,588,565,781,348,413,339,193,421,781,294,353,887,258,495,
097,243,059,614,053,602,323,055,358,222,722,203,432,547,338,495,156,988,340,
157,272,198,040,535,450,965,947,566,513,838,607,538,662,698,374,538,848,907,
790,952,894,804,461,573,998,447,649,237,634,398,551,416,073,416,852,146,695,
289,468,510,318,482,962,919,155,271,270,991,245,736,275,024,705,659,711,984,
763,533,729,208,351,027,415,165,699,091,828,002,680,423,307,152,779,085,170,
689,312,241,854,205,837,184,086,385,063,716,034,751,747,486,877,458,718,220,
583,224,899,220,928,872,842,748,490,656,687,038,141,655,596,139,504,606,941,
717,192,688,077,695,784,412,781,011,559,975,496,120,715,596,738,126,977,715,
075,552,268,914,474,487,925,824,102,462,984,129,180,277,754,642,867,832,823,
086,920,349,159,677,784,581,647,368,835,120,779,531,606,642,612,858,633,881,
834,174,197,776,005,909,461,621,371,830,227,816,844,741,362,218,854,769,839,
992,577,211,044,362,486,297,874,817,614,648,159,961,801,062,272,553,767,422,
589,011,005,373,599,827,775,361,232,690,331,399,914,897,394,603,973,997,907,
944,949,723,635,426,383,490,246,316,145,871,430,464,057,042,457,640,605,814,
178,345,539,939,926,883,241,730,562,937,854,162,238,372,100,469,203,324,762,
096,899,069,143,706,878,858,147,206,644,632,079,991,753,161,163,168,624,331,
262,472,937,669,585,511,727,096,512,265,592,849,164,942,026,476,206,282,329,
365,358,845,924,609,152,388,084,657,774,380,876,937,512,956,040,033,612,196,
495,316,137,931,315,174,447,705,460,904,084,990,027,731,349,961,743,438,767,
275,467,256,335,827,705,668,069,945,272,937,062,997,338,288,896,542,393,486,
851,981,351,819,035,145,763,350,559,593,848,656,542,479,621,837,855,144,340,
475,889,920,290,118,040,158,446,050,723,742,854,753,375,287,493,646,748,051,
197,164,052,513,979,521,063,105,392,838,002,835,120,275,547,657,175,101,201,
902,557,405,236,998,264,021,128,927,081,736,473,923,335,632,621,472,752,778,
505,110,323,103,607,699,121,539,463,470,523,738,473,876,315,326,427,876,251,
353,971,560,287,668,301,336,378,343,908,756,624,165,896,805,027,329,001,088,
198,008,657,814,933,226,315,545,067,524,440,961,082,525,555,116,763,679,226,
880,322,242,220,140,848,478,963,021,216,642,377,429,101,908,520,035,679,282,
552,200,470,532,275,980,020,452,555,987,272,542,055,885,542,611,014,319,438,
843,390,353,548,309,705,759,523,588,557,582,009,979,494,914,804,964,403,956,
779,474,833,352,540,583,956,517,642,035,090,057,743,426,641,863,779,692,420,
210,057,582,901,417,557,677,130,089,511,473,236,783,811,684,228,487,294,752,
183,148,347,993,589,827,350,517,251,768,973,736,217,807,894,289,556,550,587,
272,499,753,317,580,048,725,220,337,946,870,252,670,571,619,961,178,562,041,
033,408,006,656,572,706,686,536,292,491,622,200,163,584,611,687,675,408,966,
245,349,241,069,845,777,888,904,336,627,716,943,133,411,667,923,181,747,880,
992,795,307,687,385,411,208,128,183,395,680,940,194,336,263,386,529,054,408,
333,773,833,309,018,698,864,079,268,394,225,160,518,873,733,852,081,203,894,
335,436,525,456,340,814,922,499,862,501,936,625,984,804,998,096,075,239,924,
012,965,127,428,724,341,534,215,771,305,004,469,460,094,124,218,961,737,567,
605,280,760,384,446,430,493,872,731,697,802,857,685,617,824,226,827,893,732,
903,075,869,435,742,869,931,578,163,537,411,811,044,461,786,951,830,674,933,
251,988,666,083,052,485,417,030,317,786,150,339,152,728,345,954,668,963,480,
511,685,627,477,780,556,396,731,353,997,966,527,811,567,164,128,355,412,024,
297,562,094,392,092,609,582,586,940,428,694,978,765,112,706,874,222,383,480,
006,902,598,685,366,747,291,960,966,610,229,295,930,131,866,307,721,979,393,
561,467,844,201,423,514,964,718,056,529,979,908,485,911,744,229,298,515,968,
157,420,046,428,622,713,700,377,618,419,126,179,465,305,021,192,556,890,834,
528,416,126,612,911,490,779,419,739,581,768,801,035,505,926,757,120,246,975,
283,305,666,640,234,593,369,798,179,026,844,840,551,867,217,285,583,667,228,
762,771,829,489,594,697,963,753,043,265,488,072,765,279,820,520,434,990,330,
055,940,373,333,136,091,894,395,884,575,033,513,455,086,662,079,296,984,454,
510,341,834,679,264,751,028,045,955,889,180,036,402,272,852,242,974,556,268,
935,999,016,130,025,558,398,033,296,389,823,500,429,732,137,360,464,853,321,
934,558,907,886,423,970,759,588,441,644,492,996,016,425,524,342,714,445,872,
347,497,780,586,080,524,536,114,922,689,949,887,430,649,233,506,129,754,574,
750,749,012,476,213,632,762,149,760,384,426,954,642,572,694,655,777,552,680,
804,401,069,046,882,362,089,942,599,820,701,973,131,298,810,135,734,108,074,
903,918,298,645,947,035,022,719,577,408,325,959,044,354,055,374,178,300,564,
186,832,467,644,602,395,905,214,384,862,521,597,940,950,914,685,295,039,817,
682,533,962,815,568,301,104,540,846,629,315,350,339,603,996,597,450,927,194,
563,415,564,190,178,292,293,717,965,796,596,109,361,527,657,227,732,023,460,
631,895,827,412,586,009,716,668,075,032,374,783,001,473,142,803,364,364,171,
518,858,549,879,372,875,185,699,002,930,470,036,419,278,228,595,930,717,176,
444,357,725,782,132,962,098,113,665,598,336,175,184,473,971,013,989,879,860,
583,563,848,834,942,237,412,070,005,517,053,637,599,797,246,541,176,304,192,
567,542,968,274,524,844,802,636,231,304,011,978,247,397,273,038,886,097,985,
306,218,571,663,429,371,427,793,910,358,066,083,776,410,975,441,170,561,459,
609,843,792,880,967,805,937,443,189,997,707,092,996,914,302,991,793,019,448,
139,675,296,978,056,735,569,545,739,122,384,942,835,152,640,977,282,955,671,
558,085,136,160,242,710,551,280,965,387,336,181,177,939,181,135,748,247,134,
086,491,501,166,252,506,444,933,284,955,051,964,054,985,597,347,235,016,051,
336,916,387,564,586,234,244,652,324,337,715,523,139,663,426,661,487,098,149,
210,747,739,993,357,650,798,729,970,522,638,478,239,098,132,714,595,241,694,
079,180,914,045,931,517,349,095,508,266,310,374,642,323,158,550,366,349,675,
150,636,175,898,713,177,985,980,100,278,045,831,296,879,542,228,044,936,452,
204,880,323,042,616,401,767,032,745,727,253,288,776,989,696,885,251,790,761,
231,524,316,310,806,422,689,277,590,925,720,947,223,451,250,699,671,455,834,
387,431,055,045,713,940,727,907,288,437,885,983,513,621,819,890,390,658,451,
052,525,703,619,723,821,208,258,031,082,938,201,759,858,843,211,562,921,841,
832,964,335,245,276,872,379,437,012,533,846,931,654,830,108,024,840,433,904,
475,704,193,721,702,133,962,053,200,661,385,116,004,017,494,555,043,331,222,
453,454,518,901,436,938,563,749,428,291,300,327,131,694,717,835,449,661,635,
473,235,590,744,149,347,177,347,233,636,465,470,531,415,032,520,708,791,363,
250,667,534,014,537,176,286,753,818,797,643,226,921,195,834,055,838,263,866,
089,237,735,089,091,388,974,208,537,998,235,497,118,952,030,908,789,920,917,
852,595,753,282,771,269,001,059,049,442,451,386,014,831,945,766,282,868,361,
981,229,670,502,075,506,394,168,606,469,491,112,774,556,284,276,626,298,614,
388,180,128,953,822,827,732,162,180,732,477,376,969,850,601,232,473,502,624,
919,629,914,220,300,115,282,647,568,498,300,534,896,880,777,456,400,689,892,
955,281,562,264,165,626,050,582,078,447,437,622,023,221,723,002,900,537,108,
792,494,798,976,240,308,184,128,156,591,096,515,793,188,932,621,579,869,628,
532,351,787,075,759,824,059,581,099,660,800,519,922,867,667,560,009,861,465,
400,659,568,620,559,991,463,545,324,613,683,397,725,934,160,550,902,940,880,
327,502,028,576,928,490,758,540,949,686,606,238,515,406,518,594,536,003,908,
624,587,869,481,691,548,035,656,247,310,042,066,827,103,213,447,733,876,281,
331,276,762,296,614,422,679,969,568,149,690,218,936,538,991,438,037,633,316,
884,416,321,333,748,174,230,829,416,711,820,860,180,298,023,368,189,461,490,
911,538,453,481,304,082,982,267,365,028,219,465,092,494,182,829,447,298,136,
351,188,471,666,826,412,801,016,092,593,528,217,968,166,063,979,567,527,582,
461,745,725,783,990,749,289,280,930,051,703,962,256,933,798,022,453,751,762,
053,748,793,898,970,172,518,019,877,070,149,347,495,376,040,445,329,075,749,
330,280,035,330,377,762,043,677,502,699,934,642,320,657,803,275,592,599,160,
799,915,578,333,440,366,215,201,130,106,858,525,580,234,940,673,195,044,361,
063,485,056,846,016,917,670,576,294,107,841,366,476,400,524,608,781,343,460,
121,730,141,618,491,993,968,531,615,384,536,919,870,218,751,321,419,917,181,
138,702,728,793,028,923,109,409,218,984,736,526,594,620,686,281,807,685,821,
781,863,981,914,605,015,711,828,381,986,761,728,220,368,342,627,515,144,102,
648,441,470,527,775,337,665,757,220,914,830,953,699,254,861,741,335,912,058,
623,237,609,893,524,530,813,419,177,266,378,400,108,442,040,595,344,038,085,
351,374,445,194,008,589,667,446,386,463,984,557,984,045,871,234,390,529,491,
362,655,711,388,066,358,433,680,126,516,565,466,566,922,338,454,975,172,587,
674,169,155,739,857,857,720,611,964,916,292,916,988,884,301,454,360,680,606,
292,755,724,054,209,174,385,793,940,314,228,678,948,987,852,517,549,931,797,
514,529,641,004,882,106,312,094,783,425,826,984,039,346,273,027,300,538,832,
094,531,011,427,408,175,527,266,765,077,680,721,504,305,729,526,544,642,283,
056,707,256,557,321,611,472,400,001,799,011,229,098,936,374,642,162,305,706,
292,680,372,430,467,777,092,814,969,309,713,824,175,438,543,600,471,293,416,
365,864,035,902,507,790,798,504,623,468,256,635,482,854,709,615,049,778,245,
922,122,515,149,072,171,272,092,843,062,310,991,011,406,463,191,482,849,736,
102,783,642,745,071,690,262,392,170,912,885,996,550,587,994,479,002,400,363,
529,534,624,666,187,954,614,595,882,321,122,177,483,246,062,387,057,318,250,
082,444,873,765,152,632,806,938,937,927,141,760,634,389,145,659,439,179,732,
533,799,459,347,204,756,453,935,484,931,142,739,561,412,625,977,728,220,646,
612,467,629,914,258,720,318,588,975,781,605,906,063,824,699,673,646,190,650,
756,186,662,680,488,583,911,233,440,790,332,410,015,607,591,171,485,746,388,
952,422,139,410,340,257,557,678,993,433,769,748,718,734,053,326,754,310,838,
257,485,156,366,432,878,679,798,718,731,107,265,317,374,962,305,329,656,394,
161,564,659,878,508,114,680,869,504,078,854,333,895,675,604,681,300,373,221,
385,644,535,352,801,450,703,625,481,483,057,160,054,322,172,750,140,652,549,
505,730,603,872,394,890,984,715,274,802,788,333,131,804,475,082,033,794,845,
413,921,851,714,532,855,201,286,637,926,021,887,940,677,506,348,189,869,946,
282,519,863,134,665,211,735,284,265,653,477,201,206,993,296,758,647,667,357,
260,609,518,233,018,817,180,367,491,337,235,902,357,070,274,647,819,938,601,
701,015,050,218,336,641,449,906,240,572,763,830,691,620,567,626,667,838,598,
436,907,310,902,741,022,713,578,801,279,362,955,507,798,867,847,883,697,098,
331,283,788,098,376,955,619,375,848,371,698,285,301,417,411,778,958,186,101,
176,753,448,767,811,467,852,131,158,643,957,469,864,746,478,707,863,985,512,
684,489,761,281,756,886,707,435,112,176,524,094,796,316,944,053,752,790,697,
170,581,331,690,922,672,472,710,521,774,795,107,197,571,310,450,924,645,685,
034,277,945,166,199,671,790,244,489,888,161,411,424,042,250,914,742,327,669,
805,348,807,697,403,471,365,757,611,191,837,869,064,342,837,161,112,680,002,
161,753,813,771,180,131,346,851,433,592,747,985,389,618,770,808,883,916,958,
667,617,024,217,473,670,583,446,771,837,894,920,344,665,048,042,390,567,211,
932,835,407,539,989,275,017,422,108,745,604,856,285,982,573,898,512,336,814,
469,224,152,918,934,294,038,633,388,320,653,569,341,191,401,518,430,700,250,
446,176,479,093,747,454,986,432,267,039,327,329,780,971,563,127,228,176,393,
455,253,575,720,913,046,851,485,617,497,919,250,647,388,437,780,999,311,191,
240,248,623,196,548,652,800,151,568,960,436,184,226,291,046,356,895,959,778,
153,882,925,763,483,790,498,853,406,447,007,594,622,066,048,583,188,812,685,
293,269,602,206,850,200,140,678,023,408,289,482,842,555,980,272,155,395,044,
424,979,408,257,204,414,662,331,938,712,885,438,378,870,368,541,182,037,539,
852,484,295,091,190,301,646,278,320,417,184,427,533,377,828,823,468,588,278,
890,606,506,517,180,570,420,217,583,449,169,071,101,673,416,413,845,623,563,
473,019,004,593,225,262,122,208,448,097,903,461,286,652,382,674,926,906,909,
336,703,934,231,025,074,762,727,679,451,420,710,533,763,418,361,743,917,624,
512,640,849,703,505,423,143,878,469,749,673,727,157,421,025,773,239,603,040,
586,555,521,459,634,596,222,478,340,509,275,838,117,959,659,902,908,698,071,
286,845,704,448,932,351,818,550,671,803,893,848,878,822,908,810,094,237,412,
555,924,344,128,947,862,634,542,166,897,312,591,087,543,263,566,213,142,669,
174,482,890,397,692,366,761,656,427,042,246,025,895,652,860,616,565,955,787,
546,258,586,515,820,380,080,828,480,644,167,949,467,113,433,909,187,645,786,
285,493,043,958,550,412,822,116,069,643,136,618,252,395,251,848,205,737,168,
687,593,912,450,722,587,113,284,876,705,728,331,932,974,101,424,333,648,958,
179,897,613,831,021,147,954,706,465,753,799,415,199,511,228,425,938,650,466,
410,468,837,005,666,222,979,989,241,263,999,207,190,455,575,289,531,302,354,
101,085,340,426,804,564,215,130,007,987,654,598,847,221,981,636,709,791,455,
292,451,053,215,315,602,226,551,850,847,371,375,291,168,461,572,333,953,180,
893,542,170,482,040,562,912,549,695,738,803,227,590,323,491,467,369,106,922,
845,250,872,237,752,126,780,337,776,101,180,392,001,856,929,564,810,910,567,
910,488,691,980,028,510,746,885,635,266,751,788,390,377,048,557,381,230,124,
632,924,882,065,731,803,825,542,915,991,043,996,910,950,620,193,795,122,143,
829,806,128,397,097,703,125,007,344,999,976,859,474,018,526,969,829,311,403,
510,144,643,975,226,621,071,520,873,876,686,688,330,924,133,499,576,057,352,
096,758,197,066,187,730,223,417,144,913,952,876,078,894,460,144,201,682,024,
666,413,167,414,209,790,324,910,172,647,849,921,532,917,268,984,041,228,812,
714,748,157,752,998,513,987,111,405,526,989,296,920,103,495,099,238,888,309,
733,294,275,685,665,855,396,377,361,487,503,231,893,605,130,412,678,256,463,
899,451,031,610,248,834,112,260,179,788,110,475,266,763,087,041,466,892,887,
499,950,170,510,955,512,449,727,468,551,009,077,438,455,002,228,944,543,146,
468,367,454,359,097,551,801,789,606,770,087,848,729,683,635,537,053,147,955,
417,900,973,615,142,453,228,050,922,259,268,844,807,306,472,917,192,474,208,
641,117,574,621,432,621,256,223,088,601,611,094,373,356,586,909,072,180,693,
679,528,433,057,564,240,732,611,398,633,982,552,061,187,189,635,938,253,147,
836,213,600,915,810,366,884,406,297,977,902,090,874,100,516,047,900,447,669,
918,472,162,043,532,412,201,087,689,808,448,862,136,725,658,917,140,370,295,
952,905,130,300,812,276,228,610,802,162,218,130,171,873,733,450,130,893,116,
965,898,088,757,345,454,435,495,375,395,592,325,451,238,843,281,025,152,075,
014,533,773,656,475,328,206,880,483,222,668,139,917,764,908,405,578,620,599,
625,386,727,469,001,074,542,378,368,703,802,956,491,015,330,714,687,251,979,
628,787,960,369,153,887,432,278,930,866,259,504,428,011,036,845,602,380,982,
471,246,181,181,668,509,619,654,413,281,069,731,883,642,366,240,101,676,060,
460,856,380,907,343,687,835,830,332,146,155,204,988,902,651,708,391,628,690,
374,474,388,089,395,124,941,157,114,117,197,377,964,071,826,640,055,315,774,
862,280,932,167,568,388,483,107,262,790,388,226,688,581,761,674,166,255,203,
473,095,312,708,913,476,046,258,175,942,503,780,483,910,495,497,314,567,517,
543,217,045,542,974,349,417,328,799,444,805,562,734,645,561,943,031,394,693,
455,661,704,285,814,273,071,572,385,611,222,851,125,796,289,823,809,066,720,
021,798,404,969,829,163,395,449,955,254,759,515,381,810,742,175,497,463,958,
323,898,801,091,346,437,902,916,590,828,463,592,250,980,969,600,230,007,423,
677,065,804,629,563,203,874,119,883,046,591,155,035,774,944,265,881,619,289,
369,344,350,811,470,218,809,743,785,886,796,092,370,857,931,340,267,645,010,
009,588,573,287,172,875,191,949,425,842,299,638,594,861,581,868,412,097,635,
687,315,589,683,784,900,181,096,983,012,935,783,584,643,936,999,184,911,126,
189,305,183,178,995,797,521,815,468,292,108,505,406,532,897,218,411,449,301,
613,953,564,333,828,251,326,294,198,970,365,178,864,559,306,435,353,566,567,
477,209,146,647,312,249,932,852,225,739,366,150,698,667,528,322,617,181,822,
169,203,951,448,882,836,442,880,889,037,925,174,683,036,561,411,853,303,607,
884,429,764,090,781,488,176,547,236,942,109,757,529,235,337,981,477,296,628,
590,102,309,891,657,194,077,101,789,939,285,314,581,909,062,926,733,564,922,
861,416,510,891,868,206,126,673,754,352,083,891,158,996,707,769,062,762,945,
326,593,467,248,663,926,305,430,894,140,083,503,966,818,372,056,358,017,663,
408,390,350,261,831,933,959,728,232,620,882,729,976,625,722,887,853,565,576,
533,680,910,546,744,281,751,085,987,655,953,699,563,866,735,583,273,888,141,
699,246,122,043,394,160,135,956,070,058,867,062,500,231,680,037,756,579,960,
118,644,590,618,167,556,326,453,848,867,112,259,075,968,000,725,627,892,122,
567,713,304,311,476,743,740,623,052,023,197,295,414,157,997,416,289,459,345,
180,493,744,446,118,052,500,317,271,812,011,720,939,372,369,317,874,481,403,
169,244,689,116,960,485,698,228,649,260,892,711,198,863,821,854,060,332,887,
748,394,573,318,199,607,915,374,806,822,618,866,654,985,432,252,308,618,588,
348,603,403,592,055,198,013,950,908,338,106,415,140,353,311,649,985,801,926,
338,162,323,528,762,952,297,371,682,878,418,965,863,547,071,043,857,286,411,
689,871,205,615,746,361,131,470,318,597,541,146,324,270,379,572,169,404,330,
923,366,026,557,648,753,344,803,349,158,413,413,338,798,838,117,608,138,804,
876,651,678,451,617,680,888,308,781,068,830,994,405,704,839,354,770,065,615,
533,399,853,391,339,098,063,182,881,941,226,200,777,711,467,521,983,428,126,
232,483,399,702,772,436,797,520,549,517,509,410,581,212,686,235,383,024,123,
416,272,397,589,643,152,229,135,691,737,570,325,896,357,418,426,495,498,346,
032,342,606,869,359,676,148,824,063,865,740,787,406,854,285,605,668,724,613,
775,384,541,747,749,276,106,045,767,159,223,943,553,439,532,877,682,369,028,
434,911,582,679,311,755,116,964,961,713,129,396,619,867,264,706,360,628,119,
892,081,785,857,382,880,916,802,496,026,004,401,349,589,753,402,527,008,387,
423,203,900,835,787,231,274,790,232,293,514,053,378,831,690,466,886,942,292,
317,643,346,789,931,895,560,878,094,526,378,846,047,759,080,270,193,172,752,
299,903,531,052,726,881,068,363,340,471,689,921,588,251,342,989,426,132,551,
721,524,428,556,141,477,999,518,042,995,377,822,417,812,385,279,939,712,243,
886,920,151,860,699,536,833,767,806,930,430,762,558,868,818,944,632,446,053,
200,054,513,456,311,942,585,353,831,900,615,470,036,004,328,524,148,520,019,
811,813,193,514,375,233,710,416,394,780,729,349,689,119,374,488,276,686,465,
095,079,545,471,986,704,843,707,624,724,580,176,949,827,122,346,452,193,711,
489,433,142,375,708,437,344,441,459,800,551,455,984,553,297,539,629,045,419,
759,914,941,963,487,886,345,979,799,991,999,865,962,704,152,122,437,025,851,
291,842,167,529,384,391,343,837,722,900,310,266,847,411,135,655,019,736,290,
811,193,499,686,555,116,886,833,642,664,373,205,776,265,477,742,583,681,690,
096,071,996,317,988,873,770,541,534,088,774,428,948,390,476,631,368,318,211,
759,094,722,911,118,464,319,808,239,773,765,808,635,107,583,006,794,291,136,
242,574,877,494,991,467,917,352,830,455,643,703,862,200,408,011,957,318,269,
248,584,710,769,237,229,732,125,234,818,201,729,135,399,231,239,594,670,009,
007,963,219,272,947,510,657,323,594,661,831,394,261,403,934,331,068,277,882,
702,794,308,315,741,562,800,298,799,826,693,783,156,985,251,804,468,706,212,
464,524,440,306,916,184,639,539,301,623,576,296,824,205,501,313,382,612,406,
182,049,363,394,488,545,335,521,652,997,591,660,392,008,385,698,548,742,451,
793,039,509,533,792,655,369,339,548,323,025,241,469,147,975,142,711,532,736,
623,771,184,119,225,797,210,927,923,715,525,380,524,711,742,901,795,760,305,
134,151,951,364,576,638,034,444,856,448,734,201,316,157,960,224,568,111,100,
224,449,556,520,431,314,333,628,253,457,065,314,118,167,416,566,318,541,041,
121,946,156,113,604,731,239,783,284,383,225,133,588,768,503,684,189,618,929,
032,199,385,414,090,543,026,323,056,372,968,719,735,318,153,986,906,654,254,
774,765,967,939,323,039,926,958,508,455,101,413,004,651,424,379,996,937,907,
644,659,043,926,386,461,663,135,280,776,604,943,746,004,691,852,665,368,368,
323,887,443,092,485,184,304,043,378,990,859,965,467,234,681,218,297,156,810,
945,825,627,728,155,674,370,870,910,987,858,689,965,709,918,511,088,100,325,
783,703,457,520,564,455,942,114,791,782,695,596,239,001,506,792,889,494,107,
927,400,982,210,624,102,938,764,667,532,076,850,790,492,650,285,926,651,385,
991,969,769,235,032,204,290,597,435,985,790,603,822,348,276,172,324,639,121,
560,177,950,584,497,895,595,685,544,102,513,312,676,343,611,296,140,701,305,
178,865,739,427,147,755,291,689,084,207,701,569,743,209,634,736,884,221,724,
054,253,042,246,365,667,175,878,515,026,511,585,133,585,316,726,848,422,014,
136,734,137,685,934,658,585,038,858,219,014,899,028,757,951,379,409,799,363,
545,537,676,757,194,008,623,147,396,368,360,983,494,951,995,944,752,362,339,
407,821,620,593,212,329,937,162,550,073,382,948,724,517,226,241,893,222,358,
345,144,881,160,559,941,821,117,284,392,134,116,489,593,569,968,930,875,250,
553,151,038,923,466,920,882,709,630,636,019,937,192,770,193,812,224,997,148,
573,440,129,993,095,698,455,313,881,552,884,186,010,819,754,816,381,300,517,
441,463,638,912,268,052,534,017,844,306,489,523,589,194,286,274,668,271,662,
816,982,148,800,107,074,955,137,839,050,839,424,794,542,081,803,267,346,403,
442,953,950,516,679,655,901,305,621,404,113,145,618,931,838,289,280,031,032,
302,527,401,586,438,820,747,116,500,538,060,541,816,815,747,701,272,589,395,
580,735,391,005,312,028,467,401,810,738,738,342,606,174,077,714,027,458,248,
299,468,844,888,635,916,669,762,902,873,917,401,211,219,400,993,711,850,876,
858,998,994,132,300,917,061,837,839,611,932,932,445,640,992,375,838,768,830,
331,693,990,200,162,570,403,658,429,447,268,397,187,604,029,176,296,471,770,
727,917,312,978,557,882,674,127,063,199,945,317,853,623,676,675,643,137,328,
858,489,457,998,773,075,153,523,808,989,715,943,015,760,786,573,586,912,378,
973,400,235,244,323,067,853,000,407,598,967,215,458,412,669,558,281,527,489,
682,955,385,610,422,611,282,320,138,671,617,808,243,764,760,317,131,007,677,
092,024,855,016,627,804,131,673,957,958,146,779,689,197,169,839,329,343,992,
554,833,385,666,506,925,122,775,297,106,409,459,923,670,739,279,463,463,754,
511,865,588,049,263,013,862,929,883,048,723,162,625,554,388,098,839,940,586,
347,546,319,676,237,471,195,239,105,012,201,354,418,794,003,677,517,536,379,
916,732,437,513,523,248,691,399,094,647,305,801,754,698,208,533,803,726,359,
795,932,996,013,558,854,627,011,966,534,280,645,430,064,997,676,636,578,980,
147,593,451,908,937,044,684,278,335,587,538,677,755,389,899,890,730,513,280,
763,761,988,345,276,877,568,569,639,603,417,539,777,792,942,996,241,904,455,
532,807,050,464,317,653,399,295,694,082,945,730,165,625,754,267,934,277,804,
408,478,391,012,374,825,760,027,622,810,966,317,064,487,362,934,793,599,734,
486,934,282,123,127,996,476,535,253,317,706,989,385,323,759,020,676,132,867,
816,484,945,949,953,912,941,395,624,705,310,401,724,766,955,170,757,301,941,
869,195,069,833,729,864,990,508,075,624,830,982,062,830,109,149,696,269,842,
259,692,152,602,774,731,774,720,369,886,758,847,229,422,759,443,864,035,806,
756,154,437,491,582,411,745,241,161,830,750,498,760,132,882,812,782,404,483,
730,938,054,928,509,778,276,917,115,286,966,477,097,131,596,402,792,609,826,
639,856,917,497,064,183,636,449,673,828,227,856,993,648,160,365,218,519,692,
174,540,599,752,545,457,718,772,823,213,022,417,446,433,588,931,478,892,972,
685,009,790,024,211,325,558,561,214,804,107,209,706,074,893,439,615,394,842,
341,450,392,492,981,929,058,165,895,341,509,693,328,338,407,599,107,076,939,
280,808,343,507,814,325,443,996,722,418,966,556,332,447,738,020,076,535,572,
765,796,327,947,178,933,394,692,023,440,166,511,940,319,160,142,870,791,115,
245,234,279,246,709,594,891,911,558,989,498,533,248,376,393,670,935,494,407,
385,994,565,407,558,113,395,704,716,268,261,526,193,237,300,900,975,013,619,
215,157,901,818,688,747,613,830,604,424,302,391,852,576,290,942,502,779,637,
003,026,139,922,269,809,479,103,384,303,013,321,281,291,983,594,702,583,057,
553,684,403,429,829,827,808,033,060,536,703,529,093,713,496,854,291,474,250,
168,553,068,422,323,080,416,148,817,088,790,484,954,236,486,806,088,085,824,
303,326,242,832,485,090,935,930,989,969,443,868,888,228,387,095,949,947,536,
934,455,188,148,537,720,822,237,817,568,688,751,013,612,824,196,108,145,006,
902,016,256,025,375,591,873,307,759,956,144,521,937,372,645,531,008,980,053,
761,996,442,493,076,207,800,063,762,093,183,758,553,676,739,952,731,836,342,
536,875,363,597,243,326,785,498,904,703,043,958,667,744,060,948,332,086,774,
435,007,450,927,949,362,247,634,676,772,647,493,050,368,640,395,928,618,276,
584,335,664,491,318,130,724,447,636,759,136,193,175,604,282,177,396,583,920,
355,457,742,754,530,245,939,012,574,024,118,959,866,916,623,344,859,101,931,
824,859,852,678,051,073,011,624,503,165,143,032,694,945,596,914,572,243,598,
586,366,628,193,019,807,872,413,412,278,006,840,744,023,096,297,982,824,400,
678,469,892,417,450,821,271,575,603,666,482,889,183,840,094,906,565,818,626,
045,702,826,091,563,847,554,900,537,263,243,264,153,603,641,921,118,859,752,
074,793,223,047,152,188,567,910,773,069,174,032,062,680,591,677,844,352,467,
534,127,304,892,864,426,221,171,266,552,714,715,192,550,418,829,574,652,058,
574,353,864,970,128,180,827,563,782,920,737,924,464,659,615,301,058,595,076,
614,972,733,476,198,646,442,277,449,097,502,154,406,081,915,170,846,769,538,
506,587,549,578,643,797,797,757,226,830,286,627,245,722,598,254,731,692,252,
801,288,144,313,426,950,953,528,677,575,474,103,876,896,090,848,573,232,606,
245,665,307,841,537,036,170,465,564,973,639,815,460,053,081,096,871,052,233,
900,545,972,903,895,566,006,401,687,871,179,513,668,732,820,090,592,665,503,
870,650,414,987,855,151,474,511,731,319,299,750,330,211,024,722,371,020,307,
607,647,535,020,640,527,238,449,459,397,238,389,352,883,819,282,615,769,776,
938,292,721,263,792,460,517,779,931,231,744,438,451,473,267,800,409,918,375,
938,118,514,843,373,755,527,077,138,176,807,076,286,113,882,689,869,285,674,
592,228,125,561,743,946,794,412,213,827,083,606,243,040,518,017,847,557,769,
869,049,110,615,156,234,439,024,837,263,426,948,851,763,962,864,068,155,377,
337,969,926,806,510,105,296,976,186,045,097,209,957,041,502,845,668,758,769,
918,401,918,529,908,378,439,778,580,726,519,110,978,477,449,322,065,679,807,
865,805,944,782,465,780,426,892,497,991,199,328,789,713,289,836,196,941,789,
816,835,320,637,546,406,988,841,287,123,663,712,042,827,125,191,060,053,662,
189,287,013,241,848,356,163,915,122,687,658,405,674,253,763,938,862,846,596,
397,419,919,680,233,416,035,002,307,231,433,831,164,276,024,489,802,841,742,
081,463,173,767,082,177,034,074,572,116,044,830,234,099,269,409,406,091,617,
394,178,624,206,504,071,129,751,106,518,888,015,010,239,462,282,815,913,574,
918,127,085,329,454,395,772,398,883,421,252,535,519,198,513,404,620,300,081,
990,019,390,300,059,782,260,193,565,234,075,816,037,882,418,461,791,824,747,
642,614,235,914,516,746,810,226,228,992,641,891,212,266,410,737,499,995,040,
759,344,266,090,985,924,327,897,204,056,888,589,782,125,626,571,249,895,740,
062,237,444,336,356,761,470,054,495,960,748,629,237,761,495,760,262,296,771,
666,534,154,638,888,128,739,736,355,806,368,684,264,946,215,407,047,441,628,
450,332,538,594,473,458,160,943,775,794,058,523,124,359,319,062,771,551,983,
842,696,264,813,988,607,865,999,271,076,365,606,691,846,644,040,320,269,267,
565,714,311,912,242,318,500,306,218,159,446,612,279,649,739,257,229,597,944,
974,461,206,233,723,667,628,069,005,468,460,691,892,287,212,358,124,957,641,
655,522,225,649,107,029,751,339,584,354,095,287,493,808,419,518,806,825,179,
621,442,412,412,127,754,538,060,130,587,263,874,776,801,387,438,871,634,508,
180,267,168,610,021,837,530,137,383,623,671,993,476,209,798,643,527,442,244,
830,782,347,089,897,991,533,303,744,951,361,857,035,850,549,931,784,462,542,
767,430,112,782,842,273,793,522,224,896,809,246,199,000,829,665,149,753,375,
626,111,690,982,855,029,608,724,623,722,404,546,815,913,361,003,669,466,433,
808,129,994,591,305,955,936,649,329,593,036,090,688,736,614,998,629,221,873,
419,147,694,137,566,071,400,777,328,491,281,690,654,295,639,622,727,717,644,
863,355,248,945,679,961,083,730,077,608,468,195,271,278,508,193,821,675,447,
553,283,868,121,777,441,501,052,926,340,026,515,467,782,737,224,856,872,562,
483,883,317,790,803,197,488,029,106,328,043,600,664,304,715,677,793,498,811,
816,748,055,617,752,797,451,125,671,357,239,886,001,082,068,348,375,271,294,
794,704,722,019,754,228,514,772,186,254,789,984,591,490,334,033,199,265,178,
551,461,358,350,534,448,106,504,062,988,786,786,742,559,154,860,625,624,677,
289,537,475,405,966,049,367,790,275,901,492,958,481,176,286,430,327,474,554,
006,396,845,852,849,380,524,258,822,165,820,817,668,734,873,922,609,284,044,
398,963,963,982,102,873,321,452,464,815,497,344,152,068,268,152,291,139,311,
354,490,124,013,043,426,669,220,646,179,827,120,829,985,674,729,347,668,822,
167,951,144,190,753,843,076,852,955,048,988,450,115,071,380,697,795,174,071,
466,115,666,707,820,428,653,640,707,259,006,220,726,263,445,592,603,477,181,
270,810,781,144,275,594,279,616,798,324,055,705,064,840,669,605,309,411,777,
882,950,553,109,652,410,274,984,170,752,451,629,934,482,435,844,079,925,059,
824,973,292,297,272,293,122,428,787,789,507,221,209,122,899,616,373,674,447,
317,151,807,180,939,914,770,969,715,020,648,939,426,127,661,307,495,949,161,
372,297,048,660,391,380,085,776,715,190,006,035,033,342,538,452,339,505,541,
552,614,169,879,656,788,380,154,948,074,355,730,877,723,833,771,883,542,035,
641,975,774,106,278,023,122,081,617,135,872,547,715,495,516,328,782,799,765,
924,067,169,233,453,850,794,293,585,062,260,062,859,504,418,510,123,672,650,
074,643,261,289,322,231,282,206,943,009,488,368,515,054,122,273,492,747,233,
695,638,110,571,148,027,260,017,456,694,443,798,714,518,092,740,749,448,728,
001,202,606,959,493,164,724,204,967,962,940,687,799,685,426,612,543,204,291,
490,408,483,363,190,101,854,986,676,294,932,637,599,097,065,524,230,897,355,
202,813,788,083,436,122,588,448,189,546,052,469,697,447,574,173,632,432,152,
537,436,404,871,589,884,560,422,853,224,454,518,052,036,895,156,904,015,030,
166,190,823,173,070,867,581,696,892,423,149,947,888,352,153,007,573,668,527,
608,692,961,947,719,496,467,506,198,377,498,269,850,193,576,544,595,860,900,
425,977,999,586,379,103,324,770,903,011,292,993,248,069,468,846,546,775,107,
495,446,315,304,911,074,600,823,899,176,934,685,522,158,552,844,113,381,814,
041,532,010,205,286,148,122,396,524,510,694,268,242,509,837,628,813,770,031,
370,047,224,238,821,791,068,560,367,093,060,486,580,413,615,137,018,881,153,
945,029,293,164,772,930,788,539,369,535,625,917,057,918,876,882,568,057,639,
349,057,050,049,544,584,029,318,405,673,953,431,269,341,314,064,251,227,361,
390,168,757,872,172,565,772,811,744,149,163,169,206,204,670,827,240,791,162,
633,724,745,023,721,573,682,412,321,716,369,292,018,055,400,540,216,158,294,
227,430,260,746,248,271,923,892,333,893,705,555,188,601,103,513,878,413,529,
683,535,370,484,456,781,672,332,496,186,090,989,254,485,461,896,710,616,991,
760,619,427,800,417,714,180,292,389,761,292,027,443,133,285,894,292,484,432,
910,095,013,604,664,697,398,708,208,611,847,977,430,156,701,474,580,404,988,
049,770,079,104,212,019,763,382,221,965,385,282,090,906,625,378,448,143,180,
211,693,246,325,883,049,694,532,049,311,468,694,289,070,413,064,562,908,064,
564,249,248,699,717,658,817,985,454,151,924,840,573,418,743,109,348,300,381,
316,078,574,264,332,570,396,713,196,803,619,269,718,096,276,986,958,818,144,
602,873,071,040,058,229,432,172,129,486,123,556,430,131,587,879,349,373,213,
167,269,376,976,464,433,710,840,927,696,895,051,405,115,706,639,275,930,960,
230,485,335,848,264,217,644,181,261,651,715,418,894,042,917,933,755,556,789,
381,331,572,612,982,154,672,597,867,288,313,036,100,297,236,101,530,848,935,
349,106,041,952,842,992,124,633,657,244,939,174,804,320,692,707,659,355,919,
999,638,735,414,659,593,145,619,058,078,369,075,427,919,536,396,526,577,103,
932,739,876,827,412,071,304,141,205,292,342,393,942,306,477,762,176,606,999,
354,216,783,153,616,411,332,630,551,126,815,425,546,756,364,602,735,226,862,
191,990,498,654,887,485,660,674,286,209,971,048,736,015,549,987,592,580,583,
241,703,303,094,995,731,536,696,464,159,951,276,251,380,209,708,505,154,138,
945,471,458,533,539,510,858,246,551,973,632,456,272,498,817,274,977,698,864,
974,703,956,221,326,658,199,161,764,857,861,145,429,547,877,781,850,334,241,
704,264,401,142,305,901,678,038,763,930,784,251,976,084,198,956,889,815,187,
300,218,919,529,932,892,197,575,740,715,070,736,197,059,650,650,080,539,118,
711,268,686,503,394,304,097,326,301,726,987,317,051,552,185,477,388,421,408,
616,035,918,057,714,705,591,940,810,916,774,132,800,736,013,258,372,837,302,
832,296,164,120,959,617,718,010,473,877,236,120,088,132,047,485,875,319,649,
135,916,537,917,057,002,988,769,145,997,609,004,045,243,134,822,756,223,477,
739,652,345,282,671,743,982,883,825,563,778,538,902,360,357,024,881,711,474,
381,237,394,777,883,561,949,884,297,267,430,130,867,105,626,169,946,051,465,
927,836,436,536,416,569,202,076,855,412,547,717,187,859,396,222,331,922,411,
281,692,994,313,061,536,821,509,680,019,158,240,701,755,477,289,784,576,644,
111,964,025,490,540,622,065,631,312,637,928,724,636,839,444,395,398,786,326,
308,939,767,271,461,207,402,668,182,091,712,979,133,985,207,934,156,216,658,
201,513,702,049,308,560,337,840,677,111,390,357,179,882,393,082,304,246,449,
462,011,500,649,584,266,096,228,684,227,387,605,774,005,336,759,619,326,742,
047,558,709,631,592,050,116,519,884,847,679,105,759,020,419,134,086,650,397,
800,456,675,247,592,692,627,790,166,579,379,442,324,760,582,608,097,929,186,
789,831,804,746,056,252,633,796,057,446,252,279,994,960,773,245,669,879,807,
749,193,385,443,209,241,597,241,173,934,617,603,775,192,896,675,438,119,203,
841,171,395,195,320,811,526,767,328,249,875,990,206,547,978,325,085,311,811,
708,018,672,085,494,936,742,054,859,411,813,945,845,414,076,603,975,346,452,
185,281,356,742,904,783,927,628,196,542,348,710,749,274,385,506,415,050,256,
611,169,471,987,080,177,911,602,119,241,534,948,463,721,080,511,005,530,614,
415,014,863,978,559,481,124,796,932,294,548,669,353,892,249,326,269,957,354,
577,442,343,238,609,317,307,241,405,418,554,903,996,610,183,934,006,151,308,
801,280,687,775,316,007,497,507,561,887,141,641,529,708,830,904,601,530,491,
477,106,761,215,618,312,096,120,695,539,163,911,666,341,521,315,315,893,190,
345,788,843,230,931,408,015,388,828,940,121,510,111,663,252,162,465,692,749,
069,971,877,683,524,401,432,445,413,632,801,630,871,937,539,226,020,971,691,
109,924,813,027,698,909,653,334,541,891,653,688,214,906,739,413,398,709,422,
235,771,807,307,764,294,048,972,618,600,727,534,359,351,181,954,194,436,711,
080,629,160,517,095,860,609,248,155,386,010,410,303,086,765,222,355,107,838,
110,559,443,649,047,738,144,952,521,665,076,735,429,149,546,906,659,035,019,
553,606,443,092,025,805,030,241,215,728,506,626,041,719,123,200,222,996,905,
614,788,587,925,193,805,805,191,637,925,567,131,669,543,245,730,874,036,102,
620,537,126,253,507,496,993,108,354,767,038,741,868,863,113,929,726,455,646,
404,452,830,162,671,567,836,589,140,529,769,121,640,483,681,924,252,820,269,
824,048,936,485,873,817,527,720,041,171,919,536,770,840,601,839,839,630,648,
469,224,682,616,949,159,109,728,143,490,302,424,733,962,522,357,125,567,179,
543,571,277,838,972,857,731,418,416,568,712,458,519,059,301,700,953,117,645,
823,785,438,249,159,340,627,609,125,576,689,343,822,073,573,339,081,755,487,
977,945,816,781,298,505,420,791,770,069,069,875,687,248,770,131,224,889,628,
966,844,308,039,849,616,733,513,420,768,566,411,855,525,599,340,947,525,002,
766,392,368,776,417,608,014,641,162,588,465,815,229,742,848,930,342,863,018,
314,567,865,060,905,362,079,012,417,122,093,163,680,717,653,475,813,908,793,
938,090,692,419,640,114,658,061,178,788,305,621,892,767,116,349,549,350,919,
255,284,439,037,104,024,690,119,193,885,995,127,390,741,818,984,647,648,234,
490,128,667,655,404,734,007,303,162,099,081,185,614,464,110,998,709,096,320,
908,607,469,870,004,796,575,010,735,604,754,616,935,401,942,719,341,123,826,
833,237,491,023,139,697,586,690,726,387,700,994,033,645,025,201,667,679,524,
784,787,623,102,838,547,214,244,352,004,120,452,728,945,269,862,848,189,310,
537,245,447,930,992,241,317,071,208,518,439,932,186,946,495,863,442,127,016,
817,379,811,316,919,141,495,584,674,310,985,803,511,660,492,813,997,127,567,
477,454,861,914,166,463,237,142,618,964,159,494,346,907,963,824,608,170,212,
141,985,009,425,807,567,652,618,270,392,520,564,598,963,209,438,550,556,766,
559,946,289,064,078,000,959,860,772,504,175,138,779,007,263,949,724,982,412,
367,261,310,049,583,298,048,894,699,084,283,702,847,907,333,770,978,151,077,
888,826,741,911,604,951,141,439,725,343,080,566,772,536,211,752,773,654,750,
106,341,616,086,534,394,777,116,833,959,986,861,483,330,984,627,490,464,252,
859,155,994,977,258,066,039,681,270,125,975,238,159,263,276,133,395,288,913,
863,339,739,787,613,858,283,953,176,223,537,948,107,550,957,846,190,685,501,
740,359,463,317,671,163,759,905,983,152,832,502,791,294,721,854,018,964,795,
458,945,729,769,334,129,571,255,511,410,282,285,640,454,640,221,003,560,416,
588,309,635,967,081,935,626,537,427,276,249,382,036,281,960,878,122,703,427,
148,814,106,522,718,011,153,166,393,117,817,995,187,795,362,327,739,116,288,
722,623,597,273,529,153,822,115,559,027,342,692,337,058,914,595,660,566,163,
373,284,523,767,051,304,181,637,482,255,332,562,454,536,761,299,743,813,000,
357,423,414,473,839,323,009,888,362,381,727,356,002,888,474,349,963,686,707,
008,566,032,036,099,336,905,818,992,083,569,358,802,460,132,340,805,739,457,
333,225,607,176,557,119,619,116,639,753,699,409,114,489,993,914,441,050,475,
249,422,414,912,332,756,309,188,623,078,316,480,677,813,334,896,007,705,142,
720,943,150,005,082,480,284,449,196,148,213,820,682,445,966,973,836,989,952,
285,094,065,747,630,818,042,011,165,857,011,063,548,489,992,736,524,633,497,
986,988,974,353,658,241,224,071,296,944,378,289,546,552,928,530,760,132,568,
309,223,971,754,753,911,065,734,521,871,059,217,655,907,432,389,280,160,455,
734,426,703,848,615,609,565,200,806,625,813,364,642,127,385,617,117,792,958,
494,672,351,332,684,297,304,256,372,261,255,335,418,166,724,304,726,597,495,
752,020,296,566,628,628,199,450,994,482,042,859,745,085,765,626,416,294,361,
136,640,544,242,516,243,706,560,954,842,072,262,240,144,146,734,240,913,233,
612,409,436,864,279,726,862,986,118,615,584,159,766,719,575,558,718,455,610,
025,657,971,710,489,525,795,572,880,565,295,052,412,794,385,136,568,044,813,
287,078,450,195,884,645,643,142,379,638,054,701,085,814,649,013,614,888,234,
902,537,347,128,968,453,748,369,990,845,429,899,370,013,830,776,020,088,569,
613,719,669,704,860,520,322,232,321,256,941,726,167,543,228,224,056,682,229,
860,045,872,174,958,154,383,048,012,914,772,904,425,771,818,538,185,066,191,
863,787,315,148,185,352,347,438,278,991,090,237,736,659,163,652,712,373,935,
356,728,253,466,236,310,206,655,102,061,665,538,290,547,780,388,843,065,260,
480,068,887,499,579,527,901,785,150,619,774,372,334,749,368,074,411,134,954,
058,139,318,682,447,651,324,227,935,392,521,830,535,704,146,615,430,692,534,
204,367,246,307,722,009,819,690,489,635,635,135,669,993,920,378,397,539,249,
221,060,147,051,373,930,391,955,533,891,024,764,938,129,363,140,851,582,221,
601,111,708,821,004,048,350,664,845,711,882,181,444,760,648,486,669,803,728,
063,352,926,412,367,002,441,124,896,131,739,296,627,541,878,724,575,084,759,
779,155,691,196,027,829,302,465,216,282,562,371,564,395,115,645,826,870,812,
432,299,564,900,500,231,125,899,463,013,676,660,139,804,491,188,363,304,360,
694,596,454,653,577,789,364,478,429,462,043,995,465,993,334,872,427,511,847,
845,617,158,149,705,003,845,282,050,951,688,882,642,657,876,584,974,222,444,
560,206,798,499,254,920,762,497,344,610,273,655,984,810,715,860,144,048,909,
697,830,030,557,847,156,693,066,738,249,906,363,430,965,404,521,213,269,170,
149,508,969,870,787,200,504,200,284,443,967,124,502,674,701,329,197,429,779,
400,781,712,734,891,480,433,455,195,629,391,881,112,051,510,036,694,489,623,
554,563,714,810,214,600,342,449,826,944,626,021,507,074,762,436,991,545,141,
132,394,627,158,463,271,609,068,585,645,180,071,741,383,825,306,286,626,363,
097,250,448,330,186,118,622,109,294,912,485,782,117,741,788,139,749,956,043,
937,811,464,765,771,835,961,831,920,458,954,530,735,010,677,081,222,548,514,
400,933,139,559,310,782,412,641,136,777,214,141,917,467,272,186,445,376,013,
725,001,777,712,962,663,733,226,852,860,337,414,955,746,368,140,205,831,667,
151,804,754,280,356,747,509,581,255,260,220,830,591,804,401,232,757,515,379,
402,296,652,102,534,422,468,298,170,616,199,461,814,598,060,024,973,303,956,
201,518,851,399,584,437,923,886,957,182,742,082,867,263,209,369,555,111,683,
084,196,691,532,381,040,449,273,970,531,172,276,639,248,618,674,567,615,346,
478,625,869,433,329,319,250,122,687,658,483,508,738,672,369,032,346,151,903,
347,769,696,477,199,448,327,875,306,660,923,336,072,568,267,897,346,023,028,
011,927,453,610,039,026,946,902,055,446,612,018,388,773,192,408,228,488,413,
429,479,363,685,700,862,234,297,187,368,801,912,016,458,531,406,372,962,236,
793,327,902,153,178,168,745,276,278,784,239,677,131,464,770,272,458,376,623,
801,737,714,878,274,254,241,431,568,192,443,805,309,828,432,986,849,772,934,
936,595,637,193,360,194,386,002,073,546,395,201,490,262,511,434,133,299,818,
831,758,509,101,199,540,563,695,316,740,806,171,073,371,132,247,911,623,376,
538,819,158,379,893,517,214,252,309,468,701,377,018,985,309,300,913,102,118,
992,129,013,263,630,722,221,618,707,226,988,462,143,896,652,751,279,700,453,
530,906,072,212,554,099,298,732,852,075,570,251,702,407,483,657,922,155,399,
341,457,679,306,215,263,457,717,962,204,935,889,045,191,192,719,922,662,051,
091,312,065,270,990,893,205,033,756,130,913,519,410,863,266,855,711,777,953,
824,356,832,379,163,613,533,151,116,719,939,781,728,796,140,965,703,226,292,
997,412,949,892,892,049,048,093,914,254,684,621,274,438,610,468,406,773,067,
495,904,228,559,813,549,586,080,162,263,143,163,613,331,872,103,104,895,103,
766,115,968,319,624,570,573,220,465,002,076,030,890,510,830,558,563,076,632,
078,645,661,053,435,287,532,964,588,823,469,604,836,323,945,346,355,536,000,
872,257,225,449,057,247,188,532,969,417,814,444,730,916,059,883,875,343,768,
648,655,488,081,801,796,055,401,368,461,886,118,424,871,517,575,752,280,518,
874,294,887,267,148,373,472,065,992,366,014,122,391,508,499,888,795,989,479,
166,287,135,096,502,110,498,368,750,199,818,186,155,827,391,149,215,678,859,
099,549,872,319,552,058,401,052,850,337,751,066,565,584,658,150,744,424,519,
703,812,459,956,692,651,024,102,838,414,717,383,882,176,912,830,631,012,431,
379,084,536,216,446,173,870,450,879,579,053,796,535,308,250,458,916,707,991,
077,920,508,171,457,189,449,173,401,736,559,888,459,477,322,823,593,201,150,
626,561,786,794,331,120,593,272,469,150,743,121,323,324,676,504,006,272,542,
158,079,871,289,090,070,679,612,123,011,637,308,969,313,106,173,815,645,356,
168,197,327,414,511,643,050,876,144,891,582,048,375,869,590,346,949,210,865,
713,198,637,577,213,681,263,885,831,009,616,788,632,655,141,566,255,560,013,
813,911,968,430,314,118,329,320,095,345,781,534,119,806,310,375,769,825,460,
593,224,993,525,759,455,638,017,357,960,910,031,309,683,678,490,112,958,933,
554,711,871,955,376,314,901,759,320,069,467,290,202,998,224,187,072,958,476,
602,238,466,595,838,360,409,672,938,858,753,012,651,540,226,967,223,940,277,
298,852,053,493,770,708,347,726,775,499,017,535,888,489,378,280,151,526,347,
067,656,189,587,159,803,970,233,421,460,313,888,597,535,052,752,294,058,749,
956,037,110,570,249,428,331,411,915,511,820,664,733,154,824,481,232,020,653,
369,211,763,161,489,442,476,034,263,386,996,483,564,917,769,740,570,194,210,
449,807,963,441,687,810,207,892,544,803,010,150,981,199,898,890,574,310,232,
975,330,815,119,103,244,531,712,629,812,007,296,410,770,914,724,534,901,041,
207,370,504,804,818,896,468,293,232,422,367,724,167,705,608,232,839,705,330,
997,998,805,601,020,856,723,204,676,381,070,831,621,332,288,716,258,236,640,
791,017,301,395,351,688,647,570,482,304,417,009,520,234,213,505,275,531,641,
659,417,915,273,595,157,966,293,075,946,246,038,274,011,813,813,044,979,453,
684,016,272,082,455,070,367,791,068,421,475,598,962,845,864,832,437,217,811,
173,536,366,331,214,859,979,439,417,248,698,134,480,210,625,360,611,236,181,
792,343,100,071,218,760,382,839,021,070,377,553,359,123,385,424,900,229,201,
099,258,873,635,994,398,047,745,493,284,873,795,847,494,452,416,834,514,436,
596,271,236,432,088,491,436,995,967,466,590,675,183,903,775,176,609,299,245,
318,291,502,760,649,725,953,155,278,166,627,241,046,817,437,219,257,412,976,
556,001,722,736,273,292,370,691,478,086,209,883,955,118,406,338,957,766,381,
608,291,460,566,781,621,384,503,696,412,042,172,979,429,813,262,412,963,768,
531,403,953,205,900,601,873,430,267,691,830,368,278,621,268,825,251,184,623,
588,252,165,129,727,441,311,165,952,678,531,737,955,091,868,825,218,235,989,
401,036,865,295,530,322,554,105,307,024,963,169,344,157,331,315,244,606,418,
669,883,772,932,729,072,319,980,376,675,074,857,817,781,100,536,059,166,029,
863,684,417,518,540,796,017,849,947,932,562,598,562,183,985,896,213,122,185,
429,993,234,083,663,944,595,517,644,111,119,030,815,164,471,717,256,299,665,
552,820,428,472,382,289,934,191,977,176,742,259,517,758,796,354,882,071,189,
546,748,675,503,209,222,335,460,501,329,985,094,475,040,992,274,246,379,530,
965,734,939,811,177,737,558,180,678,360,880,466,593,380,020,812,084,902,006,
580,679,191,866,688,892,592,752,609,133,368,042,535,172,488,001,084,440,614,
645,799,871,889,516,431,049,212,440,405,672,556,135,246,987,870,611,954,646,
168,170,964,075,659,062,224,335,352,188,245,079,921,587,042,445,045,511,129,
622,254,640,441,205,287,616,938,698,565,975,332,514,528,839,159,398,508,211,
571,360,269,910,575,912,574,401,971,376,820,027,771,465,888,531,254,259,677,
810,287,289,700,018,079,855,043,045,941,414,714,635,776,412,644,731,134,598,
835,496,620,853,512,706,376,221,189,458,211,889,223,303,483,816,799,251,367,
228,479,730,046,468,356,308,681,535,795,391,887,783,994,604,743,447,581,243,
495,120,424,702,600,743,996,998,248,445,522,456,624,276,892,751,903,766,964,
606,639,519,714,696,064,008,634,805,489,079,856,317,209,184,024,080,928,515,
061,172,525,894,928,443,896,362,778,285,103,743,074,909,396,704,416,779,394,
108,587,855,820,695,552,329,070,622,597,412,002,013,728,592,989,270,206,003,
990,727,514,283,236,019,114,981,672,048,283,771,623,849,765,571,677,938,689,
025,137,745,583,338,252,347,580,027,501,844,963,909,738,143,583,511,315,669,
352,331,519,947,778,339,982,532,278,994,445,605,666,839,268,049,371,139,131,
307,137,313,910,471,373,202,236,959,753,021,122,939,345,541,870,627,298,277,
504,499,649,541,266,062,021,323,346,422,591,620,917,514,541,812,904,704,328,
165,926,136,386,714,337,788,150,953,341,444,606,406,529,489,313,405,673,170,
244,909,780,800,677,478,337,716,901,757,525,022,130,435,469,749,874,316,458,
929,325,917,281,731,842,505,405,772,144,394,013,190,059,503,479,025,912,769,
971,057,305,367,928,463,319,364,108,897,728,197,908,389,699,642,514,547,757,
444,033,818,886,401,275,040,604,802,631,428,315,861,467,976,110,151,198,339,
752,393,570,703,714,899,038,391,087,902,545,489,490,962,425,714,119,212,052,
528,967,629,278,659,095,347,238,734,407,833,197,634,296,584,413,044,116,938,
539,900,281,640,317,296,584,209,023,926,137,608,364,127,126,752,951,949,917,
212,504,156,381,794,143,021,417,271,226,923,744,322,173,726,541,422,899,934,
493,965,268,591,607,293,291,297,317,178,688,583,799,423,989,202,622,748,708,
034,815,491,851,540,613,952,482,280,435,485,448,012,002,164,599,181,364,286,
361,268,753,178,631,545,707,610,104,639,534,311,713,139,480,545,076,983,035,
275,086,098,437,012,959,205,792,892,658,351,635,389,204,876,326,736,161,854,
194,930,342,106,759,410,971,776,195,937,433,538,133,551,444,847,557,385,041,
902,951,132,425,293,470,941,247,067,748,989,587,479,360,067,243,334,661,172,
742,315,514,795,470,184,166,323,051,493,860,160,925,867,745,159,434,174,155,
952,390,208,206,384,047,242,291,335,728,866,027,618,764,825,434,848,886,203,
062,855,927,807,267,943,246,081,943,858,759,404,208,189,277,349,472,032,838,
835,175,505,673,817,506,195,016,682,378,210,828,930,250,336,172,724,881,922,
349,034,715,778,303,744,268,139,428,477,647,145,175,758,873,569,579,634,738,
419,679,397,663,281,452,498,783,371,807,550,952,685,148,362,875,864,932,917,
678,829,267,634,857,065,103,350,146,295,037,694,772,711,099,398,450,684,275,
051,958,367,005,431,175,533,949,934,580,323,316,280,219,595,878,855,907,371,
235,683,797,780,428,865,025,663,408,865,484,231,631,091,499,311,833,910,747,
007,538,522,993,326,140,660,537,228,951,991,588,196,749,048,428,900,906,006,
963,872,058,228,206,810,790,126,779,957,460,346,807,640,387,480,066,538,971,
895,218,947,746,361,263,555,390,131,672,833,092,106,916,056,052,925,567,031,
181,325,599,594,132,543,900,282,019,812,714,497,188,458,662,569,049,856,764,
559,997,979,601,766,709,130,729,931,157,675,775,452,346,412,713,789,540,614,
135,686,065,773,042,222,863,648,655,766,832,933,308,267,259,311,437,730,731,
455,083,665,715,841,166,970,136,301,252,125,612,402,149,322,062,188,762,441,
807,530,980,665,611,808,216,195,902,208,009,149,028,626,884,850,118,842,794,
520,178,110,661,649,722,192,937,995,453,779,054,007,295,205,682,214,220,833,
421,378,555,458,504,443,961,173,453,820,561,076,136,975,168,057,321,417,598,
242,254,595,213,022,877,052,977,390,770,881,692,445,530,045,053,223,388,709,
292,108,337,002,633,841,907,916,788,377,096,869,628,355,547,743,324,186,847,
767,931,741,595,368,204,882,578,019,040,281,280,304,684,244,649,450,185,047,
374,705,942,474,515,101,318,130,421,024,448,406,106,408,191,441,775,659,592,
506,403,811,128,544,431,935,715,123,796,671,751,252,488,027,760,742,023,490,
454,339,000,560,797,843,854,410,803,208,602,648,232,665,785,300,234,493,125,
316,513,847,433,337,013,269,331,129,243,631,288,621,444,821,480,720,833,885,
036,215,430,431,024,407,056,244,241,723,149,389,649,539,597,592,839,046,360,
851,098,159,401,853,969,991,552,598,209,775,520,770,063,845,241,068,468,934,
313,129,390,679,673,704,622,662,461,192,843,694,395,046,757,325,187,616,517,
938,098,051,552,014,497,191,886,897,660,267,545,885,468,914,005,116,492,558,
833,242,136,422,312,871,615,754,984,771,140,071,305,530,012,583,418,707,058,
980,876,341,255,529,484,155,022,963,718,867,712,687,763,310,961,088,569,800,
152,618,844,586,059,380,207,220,887,787,303,651,751,732,056,720,425,818,623,
150,319,802,613,533,257,292,419,281,609,151,667,655,573,831,328,140,824,267,
722,655,383,287,188,354,031,944,586,049,058,594,594,018,276,002,921,042,459,
504,312,651,429,065,174,957,615,225,161,596,432,784,184,656,521,735,948,065,
769,343,436,699,413,303,499,831,242,826,400,878,211,847,324,924,817,774,916,
087,547,089,751,382,081,122,805,892,169,133,478,589,001,894,110,436,173,760,
506,232,952,013,956,379,217,504,275,342,858,129,912,695,490,427,510,566,337,
638,724,719,642,001,010,571,640,107,683,911,497,174,615,972,369,110,408,648,
034,017,342,517,272,212,227,639,790,481,891,637,962,581,193,798,414,809,745,
704,319,527,646,376,384,624,907,262,852,575,393,388,001,506,299,058,269,243,
854,651,439,099,288,389,786,174,367,598,073,551,670,166,247,449,008,198,736,
594,336,491,994,429,833,555,528,398,951,348,181,602,590,261,190,557,905,114,
213,275,104,113,186,041,294,253,012,318,737,739,590,557,263,102,025,998,850,
018,709,866,491,486,329,491,746,889,076,060,184,882,621,334,135,598,752,626,
147,301,870,436,733,324,283,548,072,225,880,343,984,988,240,329,228,424,333,
813,536,783,508,970,725,194,493,013,205,853,223,121,421,618,893,505,979,204,
486,744,351,882,578,531,997,332,796,213,017,014,861,298,736,323,294,155,161,
450,483,832,980,522,710,895,963,353,223,039,943,548,437,327,156,561,701,898,
210,562,260,203,474,993,000,464,870,894,052,452,672,061,910,745,594,807,715,
241,997,536,515,392,628,061,843,286,353,123,362,998,560,320,565,965,794,852,
005,342,904,324,898,528,698,107,883,182,645,243,827,177,982,867,069,492,654,
818,061,836,175,597,105,379,875,260,575,780,778,595,293,106,142,086,616,249,
235,663,670,463,183,689,372,033,832,492,442,385,538,743,799,190,776,874,263,
783,878,251,359,077,807,277,960,523,413,155,235,648,109,713,987,416,489,748,
659,258,914,188,014,301,324,205,530,414,005,641,461,886,365,237,996,889,981,
822,002,886,687,136,651,756,593,154,906,565,283,936,893,270,022,727,153,568,
945,738,844,311,691,487,049,505,859,033,112,574,849,270,215,732,061,113,279,
512,077,529,783,097,444,352,589,725,284,065,922,607,531,326,345,974,669,159,
765,795,976,340,117,291,178,111,671,333,295,136,095,864,030,903,724,106,820,
170,428,327,464,232,216,070,826,221,523,561,069,594,906,904,641,776,386,672,
635,097,027,581,595,892,887,982,671,850,523,824,441,420,552,417,326,839,632,
268,468,823,533,459,028,223,393,764,796,758,793,885,152,050,352,122,953,380,
540,965,669,671,001,124,053,178,801,479,624,622,320,283,927,295,241,509,992,
932,919,828,341,600,319,322,018,877,068,461,994,374,822,262,002,564,353,177,
337,404,924,934,718,275,931,994,524,957,610,696,740,461,621,034,412,511,867,
388,795,858,724,067,551,558,381,848,539,104,745,196,919,799,556,500,135,642,
129,512,417,612,458,694,694,988,236,667,294,208,893,596,938,366,378,416,335,
447,009,827,292,917,654,096,121,987,933,349,724,709,785,189,004,543,160,367,
721,062,371,927,298,644,634,833,531,800,878,183,388,932,408,944,882,619,184,
682,088,081,908,678,005,437,355,692,727,216,439,474,177,417,759,938,918,569,
656,174,437,110,518,914,118,866,520,334,405,040,790,759,135,206,418,329,683,
077,238,337,768,828,819,166,177,910,613,323,982,958,827,467,061,736,810,831,
940,065,352,870,226,676,696,740,689,565,160,545,971,353,903,457,782,046,655,
092,427,551,785,262,734,629,243,331,987,686,025,575,385,638,283,033,188,232,
280,718,787,168,550,351,886,818,556,891,227,894,967,618,085,227,480,430,291,
282,426,495,968,611,062,021,114,181,707,860,574,829,490,695,107,574,811,560,
152,674,775,703,823,008,643,737,429,575,744,356,865,715,590,788,001,507,655,
125,316,455,485,299,156,970,916,708,196,899,665,976,689,386,122,928,136,990,
019,462,888,442,808,070,889,299,095,436,996,962,721,787,787,921,946,858,653,
673,794,373,733,160,596,698,945,110,306,563,370,937,099,214,380,078,425,402,
917,848,489,141,914,095,760,920,645,095,117,281,475,077,502,462,714,366,924,
526,895,130,737,048,800,310,378,642,026,508,347,344,437,553,877,883,173,971,
820,194,475,207,083,220,705,367,179,036,685,640,293,796,178,790,319,535,915,
802,877,120,451,224,005,157,936,385,962,582,584,711,490,242,600,820,499,866,
804,391,892,122,255,466,522,975,270,588,596,921,709,659,771,353,595,386,990,
736,778,390,064,593,840,230,309,067,834,935,189,576,436,294,459,627,317,529,
921,780,201,825,721,702,091,571,161,495,870,833,804,841,263,345,865,995,016,
000,704,958,469,888,802,438,789,259,759,753,531,718,440,663,500,173,576,579,
607,984,402,239,190,718,050,138,400,227,437,476,930,807,913,377,280,666,498,
928,190,275,075,990,099,974,434,632,050,343,537,005,371,403,148,416,201,982,
001,284,076,493,518,328,495,402,256,752,598,004,271,060,933,934,875,424,466,
170,733,346,268,416,201,920,550,449,750,077,438,135,265,117,560,795,922,079,
212,143,465,547,245,272,200,220,551,717,835,299,499,519,439,274,167,410,155,
596,141,440,434,575,053,332,545,869,510,425,868,866,641,697,539,135,580,821,
607,033,344,810,190,698,128,642,094,343,399,775,401,451,030,317,649,991,345,
741,682,844,330,092,463,906,591,114,839,711,171,526,212,952,734,626,716,837,
271,434,840,916,735,588,220,455,837,198,495,762,590,679,694,310,464,040,074,
755,363,686,561,870,195,010,987,679,989,553,390,601,987,835,240,885,978,809,
572,213,234,505,027,997,210,143,031,159,421,798,372,595,249,901,040,749,634,
463,189,775,407,551,570,550,412,661,083,900,834,478,129,304,548,029,707,257,
316,158,802,213,848,330,263,484,527,729,964,979,271,262,950,678,737,350,139,
096,678,862,089,095,819,084,109,715,937,872,089,270,959,949,998,075,509,102,
905,129,623,994,643,764,427,060,569,933,358,191,706,662,815,810,497,011,104,
677,444,635,645,803,494,795,052,888,658,694,147,864,950,377,546,595,351,608,
319,765,620,729,723,201,938,057,376,404,344,716,461,135,922,146,461,423,426,
561,639,405,019,590,047,921,703,132,034,157,073,431,666,072,064,728,715,907,
988,073,832,089,968,620,407,745,908,989,025,289,757,929,562,311,470,444,377,
013,305,413,369,508,171,668,505,625,844,275,929,085,604,533,157,406,016,090,
998,610,473,003,152,464,780,928,428,826,643,500,666,467,140,734,609,353,906,
479,230,059,118,020,072,923,432,790,330,490,634,318,187,758,582,372,104,570,
095,120,916,521,708,190,696,420,598,016,589,788,781,985,603,415,225,863,126,
435,471,966,652,589,190,805,035,677,584,414,959,395,654,318,066,450,582,022,
648,489,183,064,865,767,301,437,956,685,244,518,487,195,238,996,340,798,937,
740,705,537,933,092,612,218,408,542,648,804,008,601,630,464,405,878,659,192,
723,813,171,105,405,784,098,299,802,949,908,998,952,959,080,666,393,482,592,
451,558,326,662,109,509,307,777,577,866,909,849,553,653,776,792,780,803,646,
805,498,800,448,816,826,519,390,162,005,245,340,589,930,808,311,943,949,532,
169,317,234,658,572,014,590,419,638,763,373,492,103,354,516,584,864,185,760,
262,919,979,887,241,436,644,631,390,457,388,334,963,981,180,768,029,903,082,
006,546,478,008,097,014,075,615,570,185,349,383,726,948,189,281,561,512,060,
430,938,675,184,971,214,525,224,902,956,408,724,783,698,019,597,142,912,237,
799,102,198,758,270,920,728,176,354,573,969,114,901,750,817,473,544,918,960,
031,117,318,176,185,502,596,777,704,992,634,894,891,505,883,872,788,723,947,
629,223,027,823,267,256,239,975,480,415,101,684,301,086,379,538,847,487,917,
941,326,092,583,306,636,122,121,852,517,984,365,524,758,392,030,615,843,280,
246,592,802,383,250,533,751,669,556,934,176,155,774,151,972,268,474,681,620,
417,352,601,292,696,362,284,217,002,052,536,814,249,632,739,099,870,267,523,
776,338,633,240,077,263,059,976,369,359,280,635,833,117,707,613,836,705,372,
377,062,494,232,893,550,493,047,867,129,504,571,197,911,206,415,731,111,553,
137,680,198,291,833,924,664,539,425,316,621,596,766,060,528,754,274,680,729,
255,640,544,548,273,337,777,075,277,010,769,421,259,625,240,181,116,028,793,
408,837,358,125,888,045,064,998,305,696,530,711,100,727,952,741,540,206,488,
600,593,993,473,366,105,239,777,606,125,416,867,899,181,626,894,914,869,443,
422,703,028,395,869,735,158,873,102,096,891,036,670,044,917,533,110,520,033,
663,611,474,031,021,189,308,241,608,546,547,662,370,388,031,135,300,472,660,
093,337,611,880,889,730,730,657,443,270,871,794,844,398,018,153,920,032,521,
878,324,429,101,757,333,135,576,278,635,853,547,875,761,629,658,480,127,601,
308,822,664,442,714,582,502,122,536,366,571,251,356,220,424,590,747,547,368,
007,534,399,478,695,093,692,823,540,159,687,929,685,617,328,431,410,409,948,
112,084,814,964,967,669,512,146,656,488,291,236,309,458,220,476,474,425,413,
712,168,148,220,975,308,233,961,504,068,883,228,333,261,874,237,370,151,531,
752,625,606,920,581,192,945,623,524,032,142,754,725,052,672,552,900,272,024,
507,084,901,545,645,942,139,698,183,156,242,750,656,015,860,658,075,137,042,
028,570,073,163,503,155,902,504,340,087,143,045,030,620,104,936,666,574,916,
041,640,907,996,722,851,270,293,985,754,351,549,964,183,761,384,954,851,305,
952,690,067,258,758,254,806,177,049,800,064,956,612,861,995,661,999,167,509,
080,271,133,767,592,352,548,620,777,564,279,729,161,555,114,671,047,306,303,
522,057,637,895,084,110,638,214,493,314,314,129,925,667,511,919,616,004,518,
938,906,445,849,599,425,077,870,083,435,479,322,678,489,754,938,054,116,283,
698,742,925,272,478,957,894,239,558,476,194,559,069,483,005,306,699,501,146,
242,949,825,416,137,868,776,154,601,766,149,466,676,217,584,373,325,851,553,
788,141,817,335,100,364,056,185,753,453,462,359,326,986,346,446,273,504,099,
579,443,902,474,962,053,220,077,283,423,624,529,260,117,804,399,691,450,474,
088,519,140,940,658,951,052,364,258,722,477,688,918,097,305,270,500,673,974,
621,085,575,135,969,009,989,095,342,959,192,725,973,623,904,687,006,328,078,
368,616,573,566,999,143,226,648,491,498,019,470,342,581,760,722,718,702,962,
669,008,653,540,550,968,360,423,836,243,763,671,089,771,104,014,839,482,492,
207,163,095,714,564,832,850,044,744,659,306,024,950,504,842,572,765,650,731,
667,214,552,283,503,277,072,937,995,164,620,330,335,351,877,732,393,088,435,
250,450,294,196,932,956,862,040,496,539,586,540,525,804,584,607,591,680,200,
059,083,418,554,321,812,657,279,087,534,344,068,104,842,549,362,074,854,846,
069,434,342,581,845,277,316,146,042,053,336,939,136,161,565,000,008,861,007,
307,723,861,815,686,596,380,280,943,248,918,931,398,822,266,797,419,516,471,
031,668,271,959,480,366,603,740,248,754,052,340,272,640,934,239,786,588,537,
747,841,248,768,297,593,486,214,108,173,023,153,669,563,454,894,825,793,229,
580,402,388,056,796,317,428,406,534,417,525,567,441,681,207,316,099,718,144,
580,693,047,945,243,209,370,804,563,193,826,602,026,943,271,709,789,787,035,
582,048,969,177,568,205,571,682,196,267,913,450,486,643,380,565,180,801,584,
048,208,627,813,574,436,430,102,460,637,275,227,256,266,364,753,886,437,569,
810,212,017,532,353,007,996,869,090,879,596,655,004,727,801,445,952,254,981,
824,893,027,561,984,580,103,838,868,537,696,564,336,065,925,557,322,797,442,
596,502,748,444,783,347,710,266,072,009,236,281,972,429,808,712,561,118,160,
647,907,980,490,201,311,043,923,978,261,250,995,954,478,551,887,695,679,453,
910,741,531,450,797,108,814,696,815,223,006,295,019,821,707,101,008,948,101,
211,812,790,310,307,218,835,368,932,404,930,793,977,281,882,380,266,064,373,
381,883,216,820,757,929,315,486,176,809,994,146,046,234,879,924,082,984,274,
569,838,483,463,296,826,446,031,000,590,545,496,157,226,166,423,664,284,881,
923,677,602,085,457,749,474,258,539,045,716,445,948,736,881,239,738,268,910,
415,688,436,882,181,530,270,400,858,110,867,063,757,756,004,711,355,110,462,
254,693,240,949,933,304,441,532,965,511,037,598,105,003,683,824,652,643,768,
327,173,467,116,718,890,357,586,357,527,474,775,842,165,402,474,360,950,076,
933,959,921,337,889,890,461,973,740,405,931,252,934,354,476,060,624,319,705,
180,623,145,143,109,729,596,781,672,980,161,846,382,330,155,451,047,159,898,
706,290,069,683,107,983,752,579,600,804,573,377,426,792,235,216,760,787,493,
535,628,636,678,292,704,696,154,552,745,402,544,413,693,643,648,045,846,795,
824,980,616,155,421,074,459,422,148,464,220,419,260,196,692,223,429,199,112,
047,978,844,255,401,822,605,338,817,855,596,715,516,289,292,868,669,908,524,
211,073,017,983,087,267,074,233,285,896,560,833,523,275,255,468,405,007,255,
107,541,945,279,410,298,313,107,475,575,219,029,177,181,480,786,416,902,573,
777,332,280,610,137,365,793,625,699,023,688,251,487,169,222,874,759,701,384,
385,494,577,367,470,022,432,225,083,289,287,767,436,437,977,059,777,265,365,
080,605,451,094,448,300,792,013,633,224,544,597,002,105,953,925,629,611,314,
040,493,832,819,178,553,294,801,607,380,495,111,682,420,683,132,709,182,862,
844,112,772,296,179,505,922,140,562,799,374,725,586,358,864,831,515,111,375,
262,847,792,671,988,763,280,193,936,419,907,695,966,890,760,364,615,748,297,
650,004,050,721,027,939,756,151,283,642,977,075,779,845,442,800,658,473,039,
783,783,593,481,125,239,159,811,226,759,420,292,353,818,993,779,791,087,421,
006,608,314,361,353,068,869,591,415,423,516,393,544,042,438,391,169,492,592,
623,940,074,532,973,809,687,731,972,935,085,514,301,053,164,695,402,534,067,
363,275,121,797,009,362,322,601,001,433,838,377,345,782,239,990,801,822,766,
050,690,335,692,561,252,914,859,496,190,989,459,047,513,241,145,360,502,705,
559,183,972,774,385,184,574,200,100,140,069,111,745,244,699,767,500,769,155,
970,274,466,931,182,518,908,040,786,519,018,113,543,615,827,871,681,397,553,
812,763,468,494,887,499,453,038,929,478,529,591,427,442,976,076,577,276,211,
700,687,583,595,226,074,140,962,957,944,322,569,918,947,794,301,904,085,860,
913,522,017,695,747,485,214,819,008,852,945,235,993,045,736,188,905,598,461,
355,582,853,866,192,829,119,764,697,455,249,431,564,753,228,098,177,170,056,
411,504,306,602,087,932,466,514,926,221,294,773,642,358,636,994,376,981,412,
385,212,581,947,681,429,208,060,502,611,811,848,597,590,200,218,333,682,562,
072,065,242,906,915,074,786,785,474,671,136,751,575,152,054,495,959,792,947,
486,519,755,621,000,317,102,176,682,269,403,541,073,433,641,926,221,877,836,
122,153,584,156,338,685,114,570,489,975,055,310,712,438,701,884,722,529,633,
405,981,825,267,202,719,253,451,909,860,417,202,434,218,249,453,783,219,077,
462,369,303,550,165,290,212,668,959,601,446,818,342,251,982,908,973,444,460,
813,645,585,000,947,224,335,049,790,756,716,793,444,873,916,490,381,519,671,
835,652,683,910,823,709,775,109,300,458,882,532,953,564,087,754,352,860,519,
637,331,135,915,238,612,429,848,654,080,158,959,755,285,789,321,456,247,591,
790,408,684,284,632,046,569,486,564,218,071,345,297,205,602,754,160,612,717,
198,107,510,036,657,703,944,516,405,631,053,718,625,237,752,891,445,680,748,
870,317,863,754,964,630,998,672,359,377,135,669,887,488,683,439,676,733,768,
047,759,599,170,560,460,232,013,644,209,863,837,867,773,481,000,212,222,758,
973,780,390,293,178,567,645,570,375,329,461,368,181,880,264,335,915,769,793,
247,691,625,375,044,033,841,632,760,003,279,204,215,607,985,266,056,626,767,
872,262,324,669,606,889,277,786,584,550,356,907,114,580,681,147,822,207,086,
271,180,444,217,787,686,286,602,542,782,221,539,369,701,204,120,562,203,650,
954,030,119,346,184,018,008,276,462,668,432,739,348,644,770,230,168,573,247,
288,669,961,429,327,386,610,673,627,336,594,814,163,027,741,469,845,226,568,
651,144,898,009,013,995,327,251,644,017,481,268,472,700,971,781,568,768,262,
038,828,821,995,000,840,387,854,501,045,962,412,855,989,584,166,329,552,294,
145,092,079,395,540,572,233,877,041,214,837,222,545,640,163,400,270,940,197,
153,092,939,021,084,671,942,746,993,774,645,192,328,780,349,351,903,084,558,
016,501,371,116,880,720,583,962,064,090,703,040,997,524,906,813,168,949,756,
946,876,028,412,741,895,676,354,875,354,642,266,766,936,795,978,340,466,749,
557,106,919,321,884,785,314,275,281,455,345,559,318,540,371,661,857,227,858,
032,134,744,383,232,476,928,679,328,879,100,118,695,804,342,626,730,470,852,
460,180,423,928,999,122,523,242,900,222,891,508,655,485,456,745,815,647,118,
061,243,853,832,398,101,846,238,884,081,003,655,163,478,122,637,401,165,312,
427,234,058,421,368,899,568,342,251,768,460,658,193,068,574,132,638,322,432,
107,434,297,075,696,908,791,959,968,731,946,352,799,412,180,040,695,415,478,
855,275,224,970,660,303,521,557,371,391,786,056,603,706,500,036,129,652,049,
824,025,954,365,327,306,410,199,994,867,165,862,336,663,937,702,691,260,914,
249,109,684,993,980,218,527,315,668,873,267,380,842,253,118,694,362,143,226,
943,148,134,759,191,311,605,352,717,834,907,655,507,545,916,163,111,461,797,
459,076,642,294,962,067,955,418,082,306,155,924,237,202,301,614,880,263,244,
807,492,000,478,152,850,012,627,941,646,911,687,033,151,597,872,204,373,069,
179,616,161,845,446,505,612,015,411,386,016,398,538,885,249,503,462,391,543,
228,614,422,953,026,054,232,809,437,731,046,135,822,930,988,276,296,877,778,
526,715,149,144,094,464,927,957,182,866,966,149,408,516,790,920,708,260,129,
615,261,256,196,447,075,534,197,622,573,903,925,464,597,479,063,293,483,945,
600,084,833,198,629,149,054,843,601,613,633,199,258,099,133,125,648,464,327,
298,358,936,752,239,234,467,378,287,436,590,622,512,868,907,927,819,969,590,
611,183,046,030,131,802,919,730,120,272,668,975,143,948,364,622,243,280,411,
747,418,030,576,053,044,378,499,387,718,764,213,764,852,792,942,579,512,504,
463,163,107,849,623,613,441,114,140,277,692,976,733,410,860,904,596,043,312,
783,399,290,680,859,101,597,774,978,528,732,164,674,005,790,932,507,174,410,
192,328,312,010,088,211,980,770,572,930,308,525,943,426,523,783,391,611,836,
088,054,006,720,666,862,055,225,238,312,508,587,826,927,617,283,013,392,822,
386,322,609,388,426,546,975,095,515,973,617,458,749,834,192,572,000,989,547,
193,360,096,680,914,825,178,608,411,033,071,014,064,554,493,231,639,599,272,
701,340,792,757,418,227,644,210,735,707,809,653,321,240,978,187,605,653,364,
749,591,303,626,662,324,305,350,411,530,925,183,862,128,418,296,844,603,300,
880,515,957,945,909,947,067,818,415,655,323,276,104,413,510,219,877,827,755,
264,516,689,978,306,662,297,301,454,439,190,476,302,299,130,391,427,486,519,
745,815,655,156,196,834,287,779,263,723,032,548,292,723,761,375,717,862,246,
152,943,012,118,668,218,770,968,337,816,309,080,029,455,619,678,706,352,824,
920,679,030,817,596,590,883,411,396,282,854,347,362,692,746,662,321,549,303,
607,142,584,554,420,180,512,873,473,942,702,811,882,366,097,294,087,073,355,
085,022,342,293,061,092,503,851,922,009,552,782,032,311,701,446,383,533,709,
813,733,112,527,374,365,901,219,574,703,040,618,172,625,497,456,885,467,885,
160,318,851,044,247,034,191,466,797,359,275,383,584,113,415,343,112,887,610,
318,311,127,740,555,319,345,614,894,949,497,966,408,151,522,512,558,645,194,
625,788,230,417,810,927,691,365,849,845,813,499,283,572,450,826,034,557,231,
212,009,617,673,144,959,686,576,125,007,176,826,869,061,780,843,892,846,826,
663,265,326,977,514,077,154,504,935,920,311,831,008,679,494,418,757,492,845,
423,159,801,989,615,837,135,918,075,465,142,280,917,311,662,974,430,856,831,
801,557,404,141,997,609,233,950,962,874,384,867,302,219,084,825,661,966,398,
983,566,255,315,369,998,707,161,054,735,061,435,497,830,236,857,401,686,225,
500,340,023,831,827,086,179,128,045,202,525,705,684,466,877,213,207,023,948,
509,849,446,765,566,346,916,989,167,903,588,951,891,829,402,758,519,709,911,
184,201,503,496,985,654,762,016,195,953,070,902,900,791,354,012,842,036,356,
958,546,531,627,080,127,610,143,819,090,949,302,306,492,104,318,941,700,057,
777,636,472,704,663,271,066,949,548,633,713,857,822,148,527,770,682,059,235,
079,456,117,600,321,117,520,539,150,783,333,879,835,312,848,496,203,538,166,
901,279,988,327,518,211,513,918,406,155,170,425,382,431,670,437,312,469,807,
888,320,370,677,787,376,647,211,505,600,193,158,414,918,121,038,596,035,872,
405,182,220,282,591,832,783,914,004,346,578,671,930,775,397,813,949,224,279,
856,875,117,433,427,725,301,639,205,703,642,128,300,680,203,556,031,153,888,
273,342,644,863,657,038,776,808,062,247,068,478,060,750,420,522,668,272,088,
277,126,170,214,950,749,711,449,586,313,176,447,147,269,032,504,376,831,819,
649,091,444,385,116,937,180,383,391,602,864,001,644,590,841,902,485,866,314,
737,084,994,578,619,881,661,007,315,429,442,357,189,849,858,127,041,084,594,
774,955,845,825,041,876,117,049,546,805,759,085,595,243,109,549,583,761,221,
532,849,126,659,447,623,879,538,819,661,214,998,833,095,455,297,851,435,218,
140,998,126,590,330,546,622,986,697,985,958,292,154,586,723,155,468,465,157,
778,419,020,240,649,086,619,387,863,955,798,378,985,415,461,716,055,036,681,
211,249,847,525,788,240,049,561,657,118,022,570,234,174,055,839,340,335,133,
730,118,395,415,008,538,617,873,064,552,573,290,812,251,580,060,658,549,495,
409,613,851,410,731,358,629,537,917,637,822,517,956,351,770,748,786,301,323,
695,264,848,852,795,277,301,736,659,433,317,213,480,253,079,031,670,492,356,
986,480,968,180,014,524,758,035,961,034,908,054,610,265,291,335,204,310,330,
552,666,167,676,043,570,410,782,756,078,099,103,690,018,320,081,149,536,954,
270,956,275,893,913,282,674,183,297,340,637,953,385,848,923,807,469,689,064,
952,790,680,680,718,388,842,635,099,942,581,359,366,468,950,893,573,601,580,
339,602,477,851,758,719,529,533,996,917,693,337,023,875,766,610,840,478,823,
984,184,484,136,770,890,021,811,419,303,069,225,023,474,010,763,715,306,915,
333,887,236,494,001,478,684,735,633,409,128,598,385,064,447,143,499,714,990,
365,845,819,445,156,200,700,942,653,642,243,688,115,247,410,443,418,959,427,
170,855,924,008,841,748,214,483,055,079,247,373,004,641,186,847,329,196,432,
315,408,463,737,581,916,746,787,613,309,857,681,926,503,709,564,829,583,541,
816,601,118,996,172,624,703,811,367,559,556,143,194,364,262,689,129,383,491,
575,370,893,130,624,453,927,771,103,996,527,512,470,770,455,720,295,792,373,
614,161,456,699,344,284,856,180,271,762,286,152,505,721,031,257,254,772,067,
095,437,369,203,066,842,908,594,506,973,700,015,922,776,197,471,115,776,664,
664,544,687,560,424,291,990,798,373,357,881,172,022,352,107,576,060,591,584,
923,224,484,796,558,644,196,820,475,984,098,814,361,125,414,723,667,387,664,
583,787,333,933,967,960,400,147,208,414,416,624,438,499,590,447,132,935,980,
761,667,572,506,514,235,629,806,575,794,616,296,207,336,778,822,805,627,346,
684,378,840,943,086,315,438,803,331,661,534,922,489,184,754,261,514,651,475,
763,454,187,356,308,073,771,388,702,460,128,228,743,233,688,092,307,367,413,
697,529,617,928,018,061,073,259,602,139,709,501,910,667,791,420,940,258,523,
324,234,480,133,709,126,570,987,197,039,143,306,250,697,929,642,877,727,835,
704,556,020,841,308,739,269,653,646,820,864,435,867,842,264,428,013,060,878,
496,064,823,408,867,159,986,225,035,089,031,528,136,704,666,857,464,618,157,
467,200,576,716,058,574,423,074,037,741,683,389,512,674,021,952,882,577,209,
972,829,040,635,824,308,234,075,100,512,225,427,414,049,028,192,334,740,250,
751,607,744,368,382,280,314,672,354,020,357,009,467,200,130,752,386,724,724,
719,909,772,922,018,572,087,086,039,391,180,378,752,919,639,839,201,026,972,
382,787,712,275,521,056,397,404,078,889,938,809,616,012,202,546,404,831,739,
825,764,130,409,205,122,113,894,166,043,586,420,002,336,074,864,600,432,549,
103,160,295,880,975,315,999,735,389,280,517,218,252,425,505,451,662,848,470,
791,421,586,857,154,314,425,805,339,865,552,980,989,015,326,529,734,758,175,
223,664,971,649,465,619,632,517,154,405,443,979,670,024,803,590,603,831,051,
980,629,443,743,779,370,965,712,435,228,663,258,303,285,065,143,154,160,107,
497,504,389,294,986,792,889,685,557,939,947,364,598,910,107,558,292,853,209,
750,258,166,983,403,502,455,503,794,259,153,912,678,616,545,219,028,331,909,
194,650,025,266,930,251,138,942,497,876,755,157,722,420,292,518,941,315,142,
686,991,473,265,351,305,277,869,609,555,065,040,967,739,135,148,286,258,201,
413,626,423,309,476,356,104,919,150,578,400,143,960,904,060,834,905,007,614,
750,679,736,884,751,432,708,362,683,556,403,681,297,251,501,799,658,299,282,
690,310,528,826,175,404,740,014,684,481,446,731,752,848,064,915,454,275,283,
446,800,908,539,862,630,418,104,759,242,048,839,518,390,373,461,879,223,900,
422,980,744,997,113,382,234,789,128,858,995,970,252,829,112,056,150,542,391,
737,742,048,542,384,681,805,149,293,949,785,639,587,663,186,756,163,292,798,
214,022,525,721,078,897,573,486,217,970,192,019,243,938,356,283,135,724,769,
025,609,685,074,310,474,242,161,602,970,632,144,492,672,727,181,119,342,934,
279,047,700,372,170,154,785,990,196,066,450,465,426,822,987,270,323,730,985,
879,564,702,886,152,214,698,426,465,115,502,306,258,302,033,981,317,925,000,
319,742,847,180,842,068,967,604,491,551,011,822,192,900,324,133,701,088,866,
585,236,516,693,611,541,507,485,992,000,058,829,046,682,911,235,037,623,871,
962,139,443,036,316,114,127,635,933,855,817,088,814,351,232,659,246,846,920,
825,570,409,419,547,877,426,250,450,914,583,921,845,631,235,488,600,742,932,
539,414,785,808,780,768,352,681,021,290,934,163,690,259,433,348,194,290,865,
562,084,799,139,526,438,748,384,413,066,146,141,536,329,281,149,152,964,777,
239,979,618,911,435,818,035,857,150,409,330,831,538,070,960,831,246,599,936,
712,554,358,573,708,536,347,162,524,640,925,953,304,263,258,906,202,526,226,
431,322,927,323,239,332,992,733,606,156,924,755,560,622,167,031,156,339,819,
471,133,177,302,630,579,703,670,198,939,764,202,860,888,106,880,324,692,667,
063,213,642,197,176,263,840,313,461,728,405,485,273,041,139,313,252,470,103,
482,490,886,567,874,419,601,632,059,482,002,344,573,345,936,323,082,208,515,
892,366,259,387,021,596,252,033,283,747,043,330,952,986,376,132,154,447,812,
257,168,671,022,686,359,488,804,062,195,509,197,594,858,759,985,132,833,830,
316,456,973,713,913,364,816,136,820,085,093,762,751,933,521,651,670,824,632,
177,692,152,343,145,005,209,894,883,948,029,402,586,505,683,307,796,166,490,
650,848,165,343,337,644,186,985,057,913,913,026,454,948,593,110,795,358,652,
722,009,372,053,181,565,124,747,726,311,273,036,712,159,803,757,114,706,945,
153,621,978,581,178,459,228,074,292,172,025,319,043,030,154,090,293,369,782,
560,181,005,765,875,797,488,323,576,242,115,076,824,276,482,614,278,713,385,
946,820,829,328,359,783,978,286,595,824,286,370,670,755,848,045,010,687,412,
705,481,232,058,984,852,906,690,157,944,667,018,016,372,190,432,618,034,930,
816,831,077,781,409,253,354,411,511,133,557,866,051,841,095,780,365,398,945,
142,416,675,612,361,495,106,036,261,248,621,108,272,931,500,899,244,968,289,
625,581,044,348,894,852,955,938,661,527,144,528,672,687,186,824,510,846,084,
712,177,971,207,363,992,746,702,230,798,990,468,934,763,253,840,759,537,689,
108,397,689,913,434,644,815,233,480,915,348,377,111,908,009,200,339,260,197,
518,097,757,192,741,311,877,280,432,885,982,904,547,756,990,781,877,438,439,
416,396,571,750,730,161,186,532,843,913,315,058,509,893,525,656,671,087,343,
985,953,946,817,990,831,661,437,946,381,403,314,746,301,029,239,140,035,516,
283,834,754,206,435,785,118,606,308,626,131,075,450,734,419,590,215,012,990,
141,807,163,198,640,422,962,189,896,115,740,408,648,877,015,448,302,180,321,
130,182,117,318,544,684,367,369,938,420,875,830,659,266,860,241,428,978,338,
509,952,442,347,312,435,334,709,321,888,709,046,787,053,849,299,503,890,984,
824,555,409,193,581,478,798,611,516,438,391,545,080,196,895,000,039,713,934,
816,343,025,420,951,245,929,661,469,865,443,713,101,926,951,875,219,559,909,
537,261,665,806,898,511,694,482,543,299,135,754,206,607,165,750,589,427,931,
770,164,416,326,652,606,277,083,013,496,401,127,868,180,434,100,653,844,549,
755,227,438,346,743,593,819,128,050,863,138,442,514,340,820,466,811,613,488,
450,264,159,623,890,765,766,931,305,349,188,110,322,715,446,794,664,583,683,
654,863,719,893,325,282,842,291,300,107,884,060,853,655,399,868,211,795,551,
562,612,215,630,846,355,150,020,457,929,027,583,460,007,385,741,290,818,906,
551,410,603,253,404,163,334,447,568,437,386,197,681,442,274,213,444,811,013,
217,101,070,743,053,490,166,543,252,440,157,682,186,221,506,417,771,426,793,
624,847,236,604,731,900,291,183,779,871,963,103,568,762,270,788,419,427,993,
140,455,508,989,632,485,278,205,853,714,971,928,663,732,668,100,529,188,178,
771,467,979,442,312,229,844,985,836,073,244,022,056,316,848,915,547,037,706,
460,750,841,842,326,596,117,909,131,064,193,573,273,800,250,860,226,933,735,
069,854,240,250,846,163,863,282,339,279,330,610,911,002,318,504,940,839,135,
366,719,030,195,136,800,065,498,861,962,714,580,797,045,507,536,765,858,738,
010,852,668,906,419,767,648,312,911,185,189,251,929,575,010,376,057,204,306,
531,944,828,627,590,075,821,477,224,260,872,056,668,321,307,344,016,312,427,
326,235,671,145,887,267,205,905,552,089,201,181,852,773,002,594,627,214,523,
413,935,205,037,145,878,663,446,116,876,966,924,455,178,375,687,596,347,212,
463,301,383,515,877,489,245,468,394,944,674,334,880,773,871,612,925,483,760,
918,043,952,806,081,198,655,030,274,399,867,409,528,436,488,754,111,727,756,
976,583,929,414,397,155,610,350,776,757,136,498,603,363,420,414,627,663,051,
905,870,424,808,073,040,076,904,515,331,870,200,081,683,356,952,431,429,159,
434,510,014,548,599,706,030,721,222,866,845,226,388,434,422,133,884,473,210,
542,887,682,104,434,351,316,162,903,892,273,186,390,776,447,054,864,073,839,
129,996,734,046,260,201,706,164,653,875,406,808,213,610,527,747,599,202,736,
684,767,074,636,816,798,105,915,528,955,887,423,580,191,375,797,199,996,377,
239,779,138,386,012,927,870,977,816,827,712,323,859,964,609,558,470,606,572,
258,914,605,150,381,618,627,765,684,086,056,105,388,868,215,132,332,312,789,
927,644,513,494,295,424,331,417,070,642,627,623,797,252,894,539,100,615,676,
349,121,897,197,281,455,204,092,293,306,289,552,351,949,284,361,399,486,572,
484,124,947,492,926,551,377,415,951,087,889,115,065,251,812,474,529,179,124,
643,277,908,986,163,440,236,692,987,713,093,187,864,339,930,699,484,658,477,
086,103,848,823,076,411,157,001,297,991,364,447,695,866,070,346,104,826,216,
715,772,888,294,896,097,654,388,343,911,882,913,095,613,683,302,230,237,047,
908,392,352,942,540,567,925,910,990,712,578,844,074,614,223,826,578,902,893,
443,605,150,487,770,636,359,614,834,257,905,941,983,794,094,035,259,343,122,
254,815,774,257,218,711,836,400,766,655,578,058,683,862,335,920,753,723,165,
860,592,957,491,922,155,544,441,314,143,119,575,893,888,060,935,112,658,748,
290,844,853,381,983,158,555,690,548,548,255,031,092,761,238,695,263,144,715,
808,136,324,345,520,109,080,205,727,409,466,624,627,575,860,921,786,588,154,
791,352,566,017,686,571,343,026,812,473,868,007,154,306,675,913,248,441,993,
540,583,762,940,000,169,151,738,459,634,107,910,376,429,534,287,641,894,553,
963,758,002,919,335,675,189,694,576,295,749,129,940,461,604,532,773,091,769,
471,869,454,806,752,669,510,974,926,662,493,451,029,232,374,984,841,449,338,
297,781,405,046,455,158,862,856,833,410,607,182,205,470,858,792,922,339,837,
281,010,756,389,178,702,963,552,894,142,137,281,260,540,896,986,489,136,302,
600,658,821,217,878,162,840,634,398,928,759,294,910,788,458,223,740,157,067,
474,970,008,469,310,875,636,605,537,057,508,768,989,296,188,068,282,980,528,
186,837,514,194,757,117,693,706,972,679,578,368,417,942,230,155,666,983,304,
155,060,170,348,149,564,462,865,938,722,571,635,291,407,852,362,939,864,338,
325,837,787,569,485,573,132,435,523,523,901,574,678,538,839,546,907,906,089,
091,280,257,777,625,488,334,523,087,406,323,765,554,246,278,900,677,294,092,
295,121,594,810,982,370,546,326,502,609,839,611,863,400,512,955,072,665,173,
639,491,485,721,061,531,123,492,770,749,202,051,818,070,112,431,202,125,488,
270,212,811,536,386,765,929,589,514,085,199,978,231,807,344,806,510,547,574,
503,905,021,314,423,819,995,154,536,014,954,175,673,351,381,985,260,835,701,
668,446,570,621,639,960,532,696,542,674,403,634,196,878,138,962,370,637,833,
446,367,268,878,450,488,318,263,808,909,738,029,457,746,416,806,410,423,860,
498,965,224,691,836,908,056,187,706,620,004,254,737,350,295,649,927,265,852,
194,935,631,548,846,630,656,105,104,268,859,163,420,324,805,840,143,102,327,
211,256,943,994,020,341,843,142,431,081,607,848,391,676,228,262,194,765,636,
868,557,264,698,289,914,583,746,479,418,464,354,036,711,104,545,635,038,968,
854,941,155,457,051,009,333,177,841,370,044,474,805,753,339,387,209,951,552,
749,435,517,515,130,124,550,692,836,820,427,945,616,456,970,731,691,560,040,
150,214,305,801,944,415,220,454,648,902,138,680,460,545,748,097,425,077,414,
026,995,932,084,924,506,660,821,480,836,178,664,483,944,151,566,173,622,480,
455,086,838,658,477,456,624,439,601,255,985,317,718,047,026,610,012,703,911,
679,014,861,548,801,524,845,779,160,714,055,119,449,876,649,373,087,388,002,
064,089,712,914,462,481,557,096,421,321,458,308,810,413,164,140,428,984,933,
679,061,167,457,106,999,080,830,930,220,096,940,907,334,850,874,088,067,496,
608,024,966,067,465,257,186,275,483,029,119,131,644,522,598,033,923,382,322,
691,081,150,947,490,614,690,562,714,825,818,984,171,611,489,535,257,076,035,
501,570,105,998,546,730,797,469,772,665,276,548,927,475,841,289,373,150,802,
676,456,992,201,234,378,298,022,008,646,287,583,819,915,847,436,558,966,441,
500,970,559,953,484,240,850,984,614,461,576,983,044,448,924,530,986,167,462,
307,673,207,233,487,091,711,489,174,446,807,976,809,240,840,680,408,908,228,
266,250,211,642,470,937,060,113,889,097,502,414,976,966,517,426,795,586,741,
307,582,515,639,712,512,583,612,653,782,926,898,154,288,061,232,821,709,713,
780,053,256,746,913,902,477,710,118,624,369,762,599,637,314,699,996,518,576,
423,999,202,010,730,268,676,223,762,961,827,006,773,621,057,174,933,218,328,
556,115,949,352,142,420,025,929,717,184,638,715,041,237,049,565,794,354,247,
845,835,194,778,460,264,017,455,690,166,261,648,717,518,247,127,906,205,317,
971,385,541,326,605,752,690,423,873,643,649,690,144,736,086,417,457,344,728,
759,111,915,794,921,006,497,792,895,590,216,775,286,113,479,813,801,825,934,
032,385,274,084,134,569,403,614,216,072,270,700,930,196,347,512,355,935,474,
680,353,014,727,704,142,082,204,593,102,266,843,018,347,085,106,014,204,239,
788,003,904,016,090,981,976,025,030,682,332,715,097,547,210,809,339,137,321,
836,139,931,426,402,482,019,619,340,824,761,386,023,891,851,071,782,792,797,
294,099,203,281,979,038,591,379,293,069,057,785,636,934,588,322,630,360,359,
461,094,654,650,818,887,459,477,235,730,190,052,005,240,190,523,710,063,674,
836,967,398,537,919,333,648,391,647,501,238,533,809,539,342,854,025,174,390,
835,458,591,670,299,548,928,296,371,632,990,156,494,287,774,538,639,050,177,
581,084,171,779,046,734,779,215,078,067,537,578,093,545,018,924,567,222,051,
700,363,137,077,772,252,169,101,096,841,147,100,235,560,023,112,260,503,368,
019,697,693,766,261,417,777,325,643,105,058,537,564,253,536,369,315,796,972,
412,873,073,569,272,128,254,292,423,151,563,975,064,304,723,969,235,322,095,
895,102,759,814,131,655,288,858,064,405,176,829,609,704,173,014,459,666,174,
158,894,294,836,125,824,227,353,317,660,884,322,205,240,040,481,910,865,210,
798,538,566,672,206,921,751,112,201,060,644,166,183,904,923,863,070,791,300,
860,355,073,327,550,135,565,798,816,373,587,636,176,755,195,856,000,974,075,
720,816,719,857,183,905,927,205,022,844,404,486,007,006,609,776,857,077,246,
778,686,807,464,166,549,010,886,220,005,536,570,440,327,736,915,886,949,748,
031,073,453,413,778,533,346,995,226,188,783,602,104,972,078,933,825,487,258,
240,338,348,995,411,309,854,921,663,348,669,824,073,880,924,713,187,173,508,
691,047,736,626,532,330,569,338,098,338,156,250,499,440,588,319,593,933,174,
226,659,696,074,633,063,284,202,942,275,870,515,638,500,804,550,007,983,002,
222,546,638,955,159,116,828,997,909,351,987,235,806,099,559,743,959,677,058,
338,403,332,596,595,677,873,822,366,460,333,227,194,985,576,824,532,013,024,
047,760,562,281,712,122,680,522,720,763,462,421,763,179,044,060,858,822,299,
451,962,349,808,900,873,888,608,931,582,644,073,495,064,782,292,803,261,887,
329,725,090,763,554,500,203,005,503,374,038,308,253,979,917,111,936,884,735,
875,799,074,461,342,437,011,754,134,844,858,264,204,994,133,464,881,288,769,
126,726,161,097,853,143,622,189,215,730,229,037,082,017,482,366,445,211,330,
364,804,033,082,769,959,545,003,944,789,598,016,467,389,995,094,094,323,543,
082,168,870,907,363,114,965,805,088,849,420,398,899,643,452,822,826,869,590,
054,865,078,105,865,815,668,668,240,553,761,096,604,761,417,723,808,976,604,
484,542,180,638,339,002,866,967,763,860,198,712,629,802,669,904,018,422,387,
951,073,125,029,821,410,996,198,935,541,352,038,794,715,851,020,559,193,013,
257,907,451,287,759,175,551,063,133,632,598,558,168,354,698,509,062,968,600,
303,041,257,979,449,915,462,913,832,620,718,273,778,541,149,763,625,759,886,
481,686,118,837,391,191,387,746,063,511,152,358,938,827,641,132,639,704,987,
908,152,069,988,677,827,646,767,680,196,427,339,404,155,406,028,311,310,365,
149,995,064,390,773,630,472,776,370,481,619,151,046,827,130,895,105,820,606,
488,869,279,099,135,765,742,077,262,855,301,931,156,146,297,660,647,735,373,
129,678,497,400,778,733,394,589,308,782,784,160,615,840,772,472,519,200,138,
942,289,823,955,474,965,356,975,364,785,714,184,768,884,633,793,337,002,062,
618,063,891,609,378,584,927,250,617,787,879,498,575,538,817,968,786,962,994,
174,478,753,889,509,398,639,565,719,732,254,048,261,855,587,357,973,365,095,
012,148,123,625,439,524,831,900,910,171,269,708,533,616,768,389,315,404,529,
469,651,603,306,429,241,482,843,089,586,598,340,063,325,452,002,815,173,556,
540,259,405,212,450,552,955,128,380,409,687,801,027,743,142,857,109,841,413,
039,068,145,474,038,895,055,561,351,216,197,578,113,534,819,391,618,608,647,
008,972,413,824,895,370,255,375,852,365,044,893,759,367,824,693,136,669,871,
334,191,232,077,695,234,614,201,726,234,222,536,883,364,633,166,231,187,594,
442,635,847,476,897,350,815,982,673,132,910,956,295,019,495,062,926,489,278,
751,193,702,441,684,623,204,330,730,824,101,243,985,154,977,189,199,396,618,
163,710,781,542,016,321,785,933,875,684,819,572,770,444,920,229,565,903,683,
595,130,987,494,358,095,585,589,580,498,727,479,186,131,181,207,615,113,217,
222,287,132,768,840,189,877,220,368,960,082,344,133,619,589,584,905,845,792,
946,231,925,330,551,695,875,925,305,322,493,842,207,543,887,181,536,962,552,
532,499,982,825,938,529,007,997,068,431,990,415,586,946,406,386,598,601,561,
544,802,360,239,714,897,139,713,120,804,019,799,009,237,627,160,216,459,677,
026,735,057,596,846,708,283,049,941,877,432,751,210,356,952,001,854,095,690,
813,491,081,467,898,773,393,142,040,593,793,887,795,832,400,631,893,390,581,
732,833,302,579,080,167,616,461,611,885,621,566,787,094,489,115,077,836,191,
837,166,718,512,498,789,995,725,710,799,244,775,679,342,728,400,949,085,785,
924,252,410,968,105,255,606,220,390,237,610,653,989,217,637,977,241,044,163,
350,603,608,549,541,446,847,704,085,484,960,900,134,741,583,287,962,460,737,
363,895,077,949,995,635,382,016,957,256,861,367,065,848,600,333,558,381,571,
938,195,909,501,829,141,375,032,521,823,149,850,628,572,350,383,386,401,886,
380,529,763,846,401,834,481,080,045,150,743,652,033,301,780,509,022,628,310,
570,567,975,029,335,596,721,621,223,062,713,247,923,697,274,279,793,667,267,
593,573,168,402,859,266,038,230,212,902,270,436,194,211,563,322,154,729,882,
705,277,813,014,060,578,985,518,063,404,759,886,783,087,583,874,064,695,470,
522,392,224,434,764,188,981,640,028,587,736,018,802,592,382,849,601,353,226,
505,569,844,153,139,467,916,615,226,526,925,702,417,566,817,897,380,220,321,
164,663,917,309,271,199,005,064,102,910,290,937,666,405,085,605,672,877,189,
259,665,920,374,151,251,883,304,048,793,048,246,239,621,404,533,429,442,625,
538,770,835,062,766,862,353,525,115,448,994,245,433,105,991,513,286,171,428,
529,889,176,917,566,132,892,931,780,640,986,485,974,405,758,198,800,610,972,
619,889,314,454,760,341,541,344,041,110,657,773,715,024,784,501,393,005,918,
204,243,846,757,376,912,698,576,182,583,817,130,679,444,654,027,420,226,405,
949,777,310,397,722,161,588,067,659,909,633,902,787,806,938,612,450,263,904,
634,705,835,753,276,240,755,565,750,200,653,921,690,758,824,216,445,179,349,
508,351,203,447,040,150,537,846,455,704,756,465,330,513,705,406,033,147,307,
177,301,856,475,514,852,676,578,524,915,814,921,325,627,964,209,725,427,856,
161,268,829,225,267,255,488,002,585,966,955,963,168,164,188,844,815,616,633,
354,063,028,158,478,533,854,010,414,689,080,167,827,988,317,108,151,559,457,
930,775,983,735,915,909,010,467,437,758,886,328,152,955,835,578,369,704,244,
911,584,971,177,272,655,366,411,492,948,066,710,063,176,949,426,645,957,551,
139,326,120,540,061,459,516,396,864,884,587,793,940,175,553,373,912,324,229,
003,353,947,432,941,637,318,798,460,709,444,987,263,553,717,068,291,955,774,
046,169,906,696,991,972,413,767,609,196,236,132,150,322,113,784,086,329,207,
933,055,673,524,914,204,937,124,431,288,976,405,938,468,561,757,019,105,447,
654,751,210,389,155,659,065,427,954,326,524,268,113,307,259,174,421,695,800,
922,802,150,264,382,605,889,560,820,143,671,256,769,277,990,954,397,846,886,
222,809,578,962,980,303,161,424,394,293,860,048,363,406,302,982,550,697,500,
192,774,365,078,448,550,037,542,841,136,502,338,653,925,562,423,358,714,698,
119,001,574,023,175,222,309,363,678,803,284,659,723,902,843,022,566,489,761,
078,396,905,363,750,391,335,834,029,433,378,806,327,834,432,854,987,602,979,
785,562,784,217,934,120,995,165,919,416,056,520,581,725,350,963,801,158,671,
943,778,281,238,245,038,107,911,445,148,056,520,702,396,237,776,858,064,196,
709,564,045,871,303,441,168,131,558,290,960,518,944,733,353,059,009,093,261,
387,576,132,444,590,536,683,146,846,987,545,106,215,164,643,760,233,388,493,
109,374,228,092,382,932,594,082,333,519,099,866,518,477,688,023,913,762,006,
155,328,829,807,505,514,654,164,643,954,839,916,290,317,421,617,017,116,618,
984,065,578,776,017,287,898,235,007,372,588,330,852,157,669,325,039,050,685,
510,015,599,093,008,141,924,470,216,939,676,687,248,976,016,199,947,594,029,
205,984,862,252,024,554,182,942,366,593,942,679,529,259,031,963,434,500,909,
344,253,527,785,511,113,368,272,332,954,342,999,303,516,143,911,839,261,572,
758,340,596,997,911,625,297,505,967,506,782,606,956,000,049,586,110,018,375,
118,177,423,495,965,797,189,196,973,025,265,661,051,318,176,900,372,849,540,
741,058,540,986,040,913,405,184,569,339,567,086,834,694,308,683,690,830,999,
160,099,203,642,046,407,453,497,271,490,184,659,723,140,216,657,670,638,620,
219,576,924,739,473,231,586,341,308,224,950,591,049,012,785,040,662,144,639,
759,309,988,687,555,488,850,785,580,038,872,269,363,347,020,523,350,994,221,
399,907,857,523,819,530,895,604,137,131,678,163,421,390,087,393,153,314,091,
548,075,835,597,777,106,737,667,367,783,495,451,848,749,446,734,897,876,151,
236,948,428,560,396,249,536,212,440,757,842,055,712,490,546,074,916,677,601,
336,812,532,690,598,342,898,643,944,677,639,833,021,430,405,746,627,237,395,
422,467,010,077,060,128,926,176,393,439,339,818,533,578,358,755,278,549,401,
493,993,687,940,986,476,556,840,752,533,854,557,539,041,425,917,824,917,345,
123,289,419,870,395,961,198,988,671,463,564,557,032,328,698,403,006,769,111,
231,468,786,279,937,113,371,755,661,139,855,532,630,507,416,524,424,922,132,
148,467,109,661,506,163,569,689,467,307,973,442,032,965,529,609,473,805,799,
299,843,242,797,072,223,059,438,538,253,710,199,233,537,897,724,770,138,243,
200,846,632,956,957,255,482,982,645,903,819,521,256,653,345,132,915,995,675,
123,377,606,499,839,796,631,102,282,774,915,972,274,607,994,494,231,699,259,
479,009,212,907,681,325,307,645,975,402,578,589,832,128,513,417,998,908,342,
306,728,736,285,311,867,513,739,014,132,275,420,367,569,613,933,827,610,911,
910,844,185,430,658,818,848,211,380,701,848,764,624,352,300,011,492,024,090,
488,190,714,250,124,114,192,487,354,262,133,164,159,677,435,843,041,099,470,
368,691,648,947,487,340,390,093,830,671,174,192,590,220,679,928,320,000,721,
334,410,563,589,900,937,338,748,555,360,031,836,437,180,702,925,587,846,189,
590,909,178,614,946,890,439,435,714,151,646,845,129,488,632,224,753,860,478,
559,167,394,556,731,716,532,822,476,597,854,673,058,238,459,558,303,208,733,
022,986,043,744,939,679,414,300,651,520,639,301,027,726,558,521,551,219,292,
966,367,899,192,677,290,205,384,240,509,754,229,731,132,137,216,409,374,054,
787,627,473,858,148,383,542,577,438,641,712,177,389,146,438,399,331,103,315,
577,219,714,001,618,649,106,262,461,682,638,294,090,391,967,967,198,864,755,
868,102,752,659,624,388,074,959,548,699,380,490,619,529,710,094,897,432,229,
092,308,435,243,499,191,209,881,492,558,624,274,609,692,612,702,068,693,137,
088,077,620,191,671,075,314,717,874,346,057,573,035,997,204,218,605,217,771,
254,402,793,637,256,342,189,067,507,344,966,811,099,231,030,178,620,280,154,
468,489,314,148,922,879,800,163,883,562,084,384,625,784,698,637,406,973,917,
565,656,120,196,095,560,017,258,248,930,194,158,515,281,326,109,985,746,183,
776,674,753,808,567,008,457,244,969,388,610,143,528,563,400,492,894,946,674,
341,112,163,421,932,116,685,502,644,424,141,359,239,123,630,391,550,068,285,
243,732,690,978,078,438,511,076,886,009,498,943,390,787,659,757,263,817,751,
922,436,314,180,720,115,583,699,781,119,030,672,805,652,731,411,743,306,427,
813,561,054,007,597,354,384,970,220,516,535,787,348,573,452,882,834,473,419,
745,240,124,330,795,948,522,053,454,842,689,244,746,666,877,471,837,070,634,
438,210,384,407,753,287,517,990,520,649,034,013,898,058,792,645,756,680,873,
139,808,513,743,751,589,621,819,379,919,368,238,169,508,358,049,373,988,091,
324,143,885,245,920,916,102,979,075,018,318,574,988,394,949,879,537,603,436,
981,060,797,546,123,600,308,975,918,943,310,644,028,056,720,818,291,956,767,
550,922,220,399,473,059,742,397,149,125,564,386,835,232,355,046,865,201,344,
474,600,165,840,453,568,490,582,506,368,780,812,596,861,359,511,772,307,031,
018,180,977,917,747,100,900,603,208,592,165,910,874,585,660,432,845,679,080,
677,335,395,374,136,661,494,154,897,671,257,201,062,237,604,549,771,318,895,
798,794,489,536,939,801,704,123,676,162,814,307,733,249,199,017,848,143,851,
258,641,899,458,842,963,852,295,222,907,617,889,159,646,316,869,542,268,594,
814,334,346,503,402,865,460,508,848,652,851,257,774,293,781,401,243,849,557,
434,475,851,112,436,671,786,148,383,505,778,586,074,689,943,292,847,831,724,
577,479,735,636,254,796,991,905,807,734,174,611,068,617,282,871,439,363,259,
486,754,324,556,069,198,614,948,199,569,046,739,810,898,126,669,659,304,783,
824,448,115,256,821,555,780,375,710,385,799,833,512,002,576,923,026,168,782,
883,144,021,057,140,133,917,586,344,659,304,157,720,669,312,180,926,408,333,
432,752,068,194,473,086,989,706,354,725,081,383,030,546,943,619,211,521,727,
486,292,357,542,465,448,430,757,626,908,519,194,317,384,469,260,147,352,501,
904,602,252,279,296,495,798,969,370,153,979,201,168,360,859,225,315,197,141,
729,301,894,270,499,790,749,186,883,463,898,518,900,088,570,218,472,039,459,
397,568,403,669,982,243,178,815,315,561,622,981,820,401,399,732,611,561,046,
931,801,706,395,621,653,187,777,971,758,134,084,505,640,371,967,276,952,455,
139,888,144,786,527,856,069,758,135,635,906,221,251,287,748,812,890,845,063,
421,273,893,865,749,247,408,937,557,907,747,400,182,316,760,039,289,352,865,
422,220,847,448,502,408,841,771,367,196,750,007,702,846,583,899,746,903,205,
822,795,507,840,825,659,124,685,927,695,685,101,883,179,361,517,344,979,567,
112,340,778,797,296,746,605,661,316,929,721,930,436,851,861,488,919,451,241,
642,248,402,666,655,014,613,494,727,250,485,609,866,381,952,088,725,762,036,
769,865,735,773,002,818,594,840,449,553,944,789,319,014,483,909,158,885,487,
700,557,809,597,161,288,407,390,841,059,161,264,621,104,384,764,183,877,243,
964,493,816,457,304,261,816,185,398,331,982,630,365,693,208,703,671,820,974,
712,180,247,310,369,746,393,419,529,946,372,514,053,660,045,131,250,260,962,
148,921,355,874,271,178,232,515,728,117,281,090,663,340,748,125,643,768,075,
435,986,384,959,770,850,782,343,284,118,749,392,391,920,593,994,326,254,343,
077,883,109,315,372,384,060,657,127,883,139,339,064,849,965,908,303,849,859,
759,788,843,615,334,363,994,083,651,652,685,394,914,586,522,219,216,617,781,
092,941,231,727,292,168,770,750,639,960,104,173,025,776,041,189,846,927,266,
436,381,990,936,870,295,665,302,032,323,984,307,810,959,953,633,348,387,915,
206,463,147,085,135,163,598,078,159,491,631,807,636,503,313,905,587,514,881,
887,977,476,716,983,312,730,843,812,612,822,955,429,516,716,373,973,708,965,
484,928,592,900,129,377,748,483,446,029,453,176,554,054,380,559,210,237,465,
121,958,778,211,702,187,204,554,859,847,109,103,608,720,624,237,312,933,979,
400,280,054,634,253,022,832,843,802,115,470,235,080,045,075,590,004,294,212,
498,254,796,805,555,196,344,021,811,441,421,952,200,023,791,194,096,672,645,
144,494,304,601,246,348,156,224,752,165,762,472,653,619,804,966,736,356,789,
853,500,792,880,683,312,474,315,924,445,878,767,738,616,958,515,921,751,373,
179,353,781,866,021,347,905,920,501,011,498,788,657,452,432,052,430,291,355,
070,334,171,375,486,541,997,299,319,868,141,821,651,861,392,519,318,139,613,
382,005,568,950,034,930,871,645,979,282,660,467,459,818,887,570,683,967,108,
475,038,208,805,433,419,752,003,794,102,121,450,287,684,236,362,886,214,813,
493,566,449,760,908,413,532,865,196,803,782,238,172,918,154,462,564,661,778,
788,435,122,002,788,941,940,869,079,617,287,192,808,983,561,308,556,197,253,
470,106,816,527,327,476,212,586,583,502,460,958,424,480,728,981,803,288,811,
209,200,688,364,771,203,286,077,405,153,442,454,698,639,657,859,826,951,286,
918,736,764,686,473,519,021,841,312,854,427,637,390,867,414,864,082,012,612,
634,391,260,485,498,143,372,227,048,423,469,927,976,225,607,951,345,625,143,
488,547,877,918,583,083,393,831,264,638,430,575,849,663,284,918,201,534,185,
567,114,557,031,565,952,108,307,887,267,488,146,379,121,924,857,048,046,746,
536,392,776,035,634,216,216,216,314,921,481,579,199,660,412,864,898,350,274,
179,929,074,405,958,336,584,215,656,183,150,381,273,819,825,580,476,547,305,
903,637,731,420,633,583,071,837,241,238,874,190,171,182,622,482,122,353,795,
953,728,613,141,528,021,462,139,301,159,024,394,493,081,879,890,648,738,045,
840,631,032,895,174,333,331,204,481,916,807,987,382,291,544,993,853,700,974,
408,742,236,574,110,094,743,229,283,559,216,299,390,264,966,935,272,576,835,
918,699,285,725,334,697,879,829,798,437,512,359,238,948,761,781,547,982,301,
977,039,196,698,722,543,789,059,557,159,109,788,870,681,461,503,058,253,405,
778,007,010,140,854,454,058,802,824,289,470,708,586,330,684,158,174,959,397,
637,765,303,928,641,243,887,362,271,843,369,338,868,888,299,087,867,344,849,
750,065,090,696,079,312,896,720,205,652,524,590,191,344,343,005,818,048,129,
931,126,089,794,553,649,895,245,584,779,788,422,685,435,368,242,649,643,089,
244,166,862,353,435,191,956,780,504,995,931,513,917,580,796,107,998,833,652,
735,803,243,296,501,352,401,107,795,561,699,059,386,134,604,442,411,492,072,
821,204,253,551,518,866,099,316,342,750,096,937,709,380,755,709,538,372,316,
000,549,863,433,557,176,079,954,864,146,171,101,969,735,270,438,028,030,095,
599,274,596,619,198,458,502,895,375,294,408,875,318,447,840,501,369,162,232,
850,585,123,790,067,069,103,426,685,896,750,846,647,867,303,135,242,928,586,
657,122,436,777,506,486,103,433,234,935,114,597,405,094,179,652,644,200,590,
850,772,565,338,034,723,637,086,760,265,595,543,628,395,878,614,580,952,360,
182,177,942,704,800,530,530,645,416,335,630,159,854,449,754,914,054,102,748,
419,793,916,358,307,205,942,713,603,206,096,085,765,826,911,070,730,353,109,
541,370,732,779,836,380,109,718,247,198,446,058,109,426,961,366,194,745,418,
168,382,423,323,964,086,478,234,502,709,503,564,914,190,532,359,430,700,950,
112,045,804,981,502,114,926,386,340,481,731,367,675,250,704,206,146,056,612,
110,513,818,850,525,784,032,361,589,122,106,272,558,703,109,030,124,861,916,
628,175,627,914,115,104,977,013,205,941,633,011,532,742,314,511,009,021,087,
137,905,524,808,821,456,757,783,267,264,549,637,124,360,239,807,448,584,993,
859,800,990,383,643,533,305,651,932,928,455,581,995,590,676,424,614,234,998,
259,235,627,013,675,349,671,256,875,672,766,983,034,649,685,584,102,561,462,
570,980,791,257,575,229,814,395,392,230,028,874,493,044,630,576,313,111,920,
390,908,264,656,006,223,249,776,764,324,689,344,096,634,986,776,300,412,025,
841,354,960,128,932,765,417,807,765,019,423,289,980,569,812,689,480,765,800,
536,144,940,707,045,934,033,954,881,260,856,992,468,989,532,676,760,973,739,
777,846,345,064,174,700,318,477,552,166,764,247,709,861,562,369,152,768,202,
930,602,537,636,572,519,165,913,249,462,373,778,020,986,376,142,673,281,806,
936,523,856,381,674,522,009,026,473,472,210,706,987,831,834,504,000,400,296,
189,243,565,872,797,994,542,005,851,913,406,720,485,118,315,503,106,501,400,
144,510,664,913,802,572,638,851,313,610,472,667,358,447,276,265,174,379,825,
121,194,377,507,611,018,417,490,880,926,746,812,237,768,915,548,539,624,407,
581,521,669,763,941,797,060,816,214,154,048,837,265,869,089,430,709,993,215,
749,293,396,357,061,512,683,136,390,301,164,986,813,399,346,891,896,770,617,
274,233,491,375,784,018,098,949,169,266,085,912,467,366,408,932,277,448,903,
819,844,450,552,849,136,022,707,054,859,381,183,415,099,924,993,932,638,597,
440,393,148,321,450,375,186,579,778,131,193,995,600,048,219,735,186,977,794,
897,341,090,041,365,186,611,749,213,945,046,923,431,983,912,689,182,829,491,
210,708,414,871,304,967,237,254,129,514,980,959,294,738,965,543,085,141,160,
922,631,811,446,986,624,549,677,656,355,323,057,224,724,049,927,146,985,805,
154,054,585,704,435,888,563,962,246,999,198,240,023,383,464,424,626,539,332,
929,365,712,573,840,229,735,378,423,385,077,798,799,748,458,252,489,242,728,
159,005,276,281,042,068,152,695,598,733,580,127,718,395,510,544,338,039,577,
788,890,633,691,141,419,483,142,013,171,887,399,635,493,262,560,852,414,974,
525,662,818,319,793,331,492,359,209,710,034,919,323,470,867,291,108,487,840,
619,572,345,395,362,179,984,859,250,494,461,311,488,892,026,563,022,068,212,
583,655,461,411,739,699,400,513,526,624,589,010,416,888,940,656,684,711,378,
892,443,465,248,661,767,519,090,294,476,963,656,657,942,659,373,483,239,308,
119,782,425,766,909,048,452,713,398,994,063,225,162,784,178,487,531,644,838,
627,379,351,784,393,515,237,767,496,563,683,089,444,621,532,289,848,751,984,
581,879,426,621,675,660,500,178,218,912,012,322,825,303,128,147,500,599,832,
733,626,926,509,177,014,941,501,338,100,532,315,881,226,370,336,090,007,710,
590,992,916,048,605,580,569,503,832,602,446,310,161,739,019,032,442,306,888,
992,552,655,687,801,764,239,985,119,344,174,036,235,705,651,828,243,050,575,
062,692,350,950,992,686,353,707,296,346,844,629,659,000,984,787,748,345,527,
646,119,946,247,501,278,909,009,076,816,770,864,617,914,866,326,201,545,867,
695,614,636,564,490,519,171,673,833,951,079,399,124,951,822,112,102,358,642,
560,544,451,876,461,389,510,042,993,101,195,589,078,818,684,594,492,565,774,
933,044,801,934,411,824,779,394,775,005,213,093,681,559,153,656,579,136,717,
452,736,159,583,323,853,321,471,686,338,976,947,487,797,367,616,310,465,458,
545,866,476,839,808,307,140,602,447,172,417,242,457,307,549,322,999,633,366,
333,106,424,102,301,599,554,005,542,140,036,255,549,239,498,654,102,686,574,
437,328,882,222,289,679,651,216,077,396,554,300,639,777,709,683,630,646,769,
694,244,800,693,102,189,545,407,367,866,605,560,739,666,502,571,082,924,580,
125,557,365,570,056,082,833,270,903,167,682,511,770,095,122,938,230,202,892,
310,367,961,201,120,479,215,347,909,818,921,215,988,905,704,622,377,712,939,
562,216,660,639,985,423,010,041,187,080,639,203,309,479,430,807,173,721,031,
316,348,049,148,486,278,112,253,003,872,992,199,082,049,176,794,393,087,342,
905,207,038,869,406,485,107,949,555,689,388,135,639,528,936,743,986,961,508,
005,435,544,834,316,287,931,112,955,512,224,593,325,111,743,517,040,511,680,
642,477,221,832,770,995,918,318,744,442,550,023,956,012,623,223,466,869,748,
468,019,554,669,909,401,680,391,130,646,733,516,470,076,931,202,614,990,462,
863,248,020,637,110,184,281,711,403,872,316,399,548,672,391,660,585,466,591,
617,538,653,764,404,057,452,810,669,516,627,213,243,191,714,182,687,215,459,
459,237,827,278,369,889,463,436,148,726,669,488,245,896,119,837,874,209,907,
294,498,347,212,909,839,893,676,936,241,486,090,345,903,767,104,585,074,818,
443,514,085,417,803,028,313,361,586,833,377,395,568,704,073,029,691,882,320,
271,501,559,719,488,964,691,080,918,722,127,677,154,923,595,461,022,596,220,
094,479,268,746,623,012,468,383,025,414,241,361,407,381,171,174,966,126,164,
045,834,384,860,863,477,410,129,348,747,140,413,261,879,365,428,290,123,229,
818,135,829,890,959,023,065,601,674,382,112,186,942,748,533,843,661,745,656,
440,992,772,495,782,167,635,745,557,115,737,136,334,511,173,853,290,117,913,
512,932,853,078,230,640,554,922,364,118,321,875,937,402,254,455,611,093,041,
117,731,818,874,099,963,241,491,352,074,610,227,775,572,005,796,651,747,611,
443,271,138,436,056,566,576,252,850,750,429,755,269,941,948,540,855,539,578,
236,501,833,105,458,229,994,885,739,055,077,308,470,958,886,247,509,468,117,
053,564,206,243,232,269,994,093,087,502,226,188,544,614,577,366,420,023,612,
549,373,727,172,047,365,396,990,521,764,287,115,247,290,895,506,401,646,685,
801,778,791,700,698,816,916,805,529,913,590,042,390,272,219,319,194,471,736,
500,351,514,409,189,939,048,017,157,004,008,782,865,409,535,296,203,689,565,
398,139,666,309,035,939,293,930,291,114,170,711,611,519,702,122,946,266,036,
366,551,512,398,239,250,914,690,172,840,622,846,297,457,767,719,730,000,112,
426,792,944,787,615,588,258,219,740,929,806,319,216,927,300,574,704,608,054,
751,729,611,935,510,426,073,808,866,064,499,533,171,103,943,588,334,175,739,
690,009,832,596,570,292,124,541,078,900,852,922,619,351,694,024,370,943,053,
382,879,031,325,253,764,974,604,874,678,471,593,649,686,444,983,467,922,828,
747,392,162,013,950,561,932,252,883,265,023,611,718,764,301,585,070,308,714,
763,229,939,020,699,865,415,413,576,567,666,404,819,163,233,324,487,384,783,
034,981,583,448,092,553,466,790,874,393,503,405,359,677,508,694,547,986,185,
627,803,154,227,480,387,188,878,768,897,840,761,388,136,122,358,965,208,116,
126,361,253,955,392,321,022,271,470,848,997,801,766,151,368,518,113,462,908,
993,025,095,826,641,781,169,907,582,001,570,212,594,110,932,418,899,920,090,
396,313,012,722,744,775,820,335,539,243,661,971,632,738,313,885,642,419,772,
266,959,765,824,571,151,960,516,657,211,661,109,007,936,379,316,175,956,559,
029,104,405,834,402,115,197,898,637,936,894,116,410,814,483,395,501,907,851,
308,357,773,989,681,200,296,918,313,316,295,270,163,760,912,586,706,363,228,
206,726,726,349,865,254,743,765,683,291,777,535,455,289,681,018,599,642,524,
764,100,692,034,408,744,297,730,990,358,259,674,630,379,210,148,673,577,657,
131,771,620,548,220,419,129,742,108,345,943,724,836,303,323,465,744,054,048,
419,750,218,501,925,073,987,855,257,897,467,156,725,217,876,543,312,326,235,
856,731,956,601,693,287,748,125,626,572,610,241,495,010,457,319,929,731,658,
995,930,733,357,105,402,462,774,765,145,921,429,340,718,924,514,390,834,295,
652,622,609,157,610,095,424,317,758,210,206,419,436,940,726,644,346,254,479,
786,377,936,096,794,319,167,816,014,852,435,809,087,529,418,438,612,334,092,
701,105,255,504,954,044,744,876,128,318,147,830,269,035,720,945,360,203,940,
468,005,264,646,055,685,763,784,273,401,039,599,461,857,566,456,963,933,098,
829,345,102,525,097,769,014,171,664,234,823,504,069,917,443,481,304,684,625,
142,851,708,043,308,091,671,361,022,754,723,887,947,618,186,836,543,232,732,
344,509,647,685,872,941,946,372,980,644,411,741,587,350,684,021,007,986,461,
203,126,321,813,424,029,566,140,671,420,725,178,361,830,912,136,733,777,933,
206,661,644,457,061,835,278,916,069,091,141,197,930,039,932,028,984,393,478,
176,680,617,260,496,158,677,076,780,455,967,063,987,359,051,190,006,102,643,
979,589,586,135,637,504,124,346,122,424,592,106,471,494,994,839,768,346,053,
501,081,828,167,240,050,306,422,169,955,271,578,372,809,167,603,246,636,723,
328,938,306,458,624,996,571,409,923,157,229,880,456,504,907,179,821,121,717,
907,405,469,553,411,720,697,301,664,360,761,986,477,023,143,393,593,903,197,
208,136,259,201,727,128,353,398,894,128,371,409,194,402,772,773,701,414,241,
756,859,620,478,766,173,910,364,697,550,452,047,710,668,386,584,463,661,050,
648,771,284,327,636,456,978,040,375,017,447,842,978,933,172,777,913,336,474,
565,950,094,443,412,416,065,994,672,895,480,585,774,903,743,830,792,541,487,
498,442,866,565,376,072,838,733,702,813,930,400,058,195,076,314,601,326,314,
853,661,028,821,685,349,307,543,126,970,599,976,302,224,183,114,931,484,496,
356,726,693,774,398,505,571,695,405,203,707,061,845,509,443,534,724,935,681,
941,799,351,957,749,483,497,242,901,468,908,899,646,505,819,103,959,643,016,
973,955,232,338,240,938,924,765,670,092,467,072,760,562,860,356,611,806,047,
411,000,429,124,216,795,326,865,316,882,340,923,316,728,103,811,141,362,825,
221,632,283,319,565,946,335,347,204,156,403,612,651,831,961,490,448,301,073,
429,288,082,860,787,579,637,945,320,106,391,172,504,527,794,866,355,163,635,
903,944,046,580,303,553,367,307,567,272,604,280,338,402,702,771,910,434,232,
387,244,105,371,604,666,059,740,560,600,257,278,249,126,884,080,357,613,406,
600,174,944,676,290,485,832,329,704,157,800,978,550,740,755,037,574,693,779,
518,143,547,662,335,229,136,480,124,648,132,086,194,004,434,216,564,522,541,
063,249,996,760,158,900,461,857,715,584,482,347,053,958,010,333,155,456,876,
006,414,912,190,170,073,075,490,700,392,543,763,255,851,894,514,596,985,976,
661,413,191,537,128,459,943,927,253,984,820,968,652,339,329,571,474,719,927,
817,342,213,170,316,538,013,459,193,895,753,456,616,033,416,380,052,093,966,
334,307,107,656,107,451,053,201,689,669,390,500,455,975,592,515,217,579,170,
690,036,789,311,545,291,776,201,316,018,274,976,080,602,615,733,141,568,814,
003,476,076,665,662,613,218,468,332,326,213,479,555,486,188,971,725,936,618,
591,823,370,191,552,482,746,300,401,870,208,833,371,067,144,487,367,791,844,
371,273,972,961,957,528,099,187,969,589,134,730,100,479,657,122,576,997,031,
725,487,885,850,856,979,400,833,017,665,342,874,913,524,072,080,423,173,587,
843,129,611,760,854,127,589,330,656,806,399,269,126,022,171,313,334,262,943,
349,900,985,182,757,289,862,790,581,451,941,095,652,071,624,638,819,980,636,
914,601,918,773,524,686,944,835,156,897,848,170,773,542,094,124,111,660,975,
871,568,198,079,972,354,372,859,874,806,880,510,668,591,654,798,280,422,517,
049,239,871,132,018,975,848,305,494,030,784,276,833,083,734,259,576,668,797,
637,682,526,577,757,821,339,809,441,825,292,748,512,095,369,087,316,678,836,
668,327,800,832,089,994,914,114,771,669,278,593,858,661,785,790,566,905,347,
319,591,650,920,041,759,378,007,159,380,247,353,275,821,869,427,474,177,039,
718,544,985,369,813,221,217,286,120,526,968,985,470,777,380,208,305,182,562,
333,794,144,411,678,743,216,877,122,540,282,216,546,764,026,388,446,916,504,
061,771,470,355,978,429,814,473,408,257,653,970,451,668,643,142,082,902,741,
426,657,012,234,646,678,400,549,484,831,894,759,242,133,376,249,298,188,414,
050,152,760,580,134,304,734,390,722,246,445,281,069,026,952,002,761,371,714,
588,911,760,903,786,221,402,497,707,062,805,262,038,898,408,636,506,262,008,
717,386,193,617,919,221,655,653,408,008,729,438,309,752,939,035,688,417,387,
862,083,653,341,860,678,356,152,527,356,985,741,023,086,302,427,947,661,111,
248,895,731,740,668,719,881,075,124,883,849,213,475,155,886,442,450,588,762,
750,784,838,907,387,547,564,298,219,331,364,639,338,705,166,450,426,833,774,
227,298,554,626,778,284,260,612,169,074,957,557,494,512,078,816,143,454,342,
864,770,816,366,737,261,028,119,398,731,835,855,388,931,271,444,166,308,600,
176,305,397,675,099,193,082,977,271,372,142,630,038,485,916,870,026,427,997,
086,945,297,105,364,327,648,752,394,362,088,092,885,829,842,247,018,387,813,
972,269,436,679,836,381,278,977,213,108,877,647,516,933,015,964,346,858,629,
211,125,005,692,880,465,096,674,371,387,354,761,302,631,799,556,832,540,014,
038,002,748,528,243,428,332,085,110,547,776,096,244,392,859,891,284,338,460,
822,664,062,061,238,998,083,164,878,569,163,930,505,512,637,716,822,085,498,
065,383,435,794,862,864,035,270,426,669,467,845,634,941,842,521,580,256,240,
896,874,797,222,002,050,443,588,898,764,804,324,848,165,770,354,994,243,485,
387,416,040,613,014,772,026,585,672,188,145,403,930,427,164,359,087,695,344,
022,867,189,658,916,124,765,149,441,007,179,171,225,021,478,949,367,192,659,
037,384,116,608,042,202,880,985,091,986,535,303,381,751,942,479,301,492,581,
368,744,330,595,694,064,969,206,411,880,311,462,441,954,419,451,194,623,813,
246,717,220,408,301,679,153,830,232,142,232,566,377,059,890,715,680,110,079,
358,255,412,241,350,917,341,783,579,098,449,992,704,249,366,825,997,395,310,
915,934,005,072,383,262,019,427,561,907,910,397,590,065,752,024,122,006,131,
506,958,619,674,512,219,858,728,359,591,507,106,000,017,975,791,434,861,507,
322,697,420,053,810,240,522,354,060,484,558,688,690,758,222,773,253,599,932,
399,670,920,407,103,340,485,302,333,564,637,247,160,781,522,814,131,207,580,
821,457,370,942,143,218,038,257,239,336,566,010,273,136,404,362,099,467,932,
189,378,022,133,853,353,045,055,562,099,252,908,380,419,552,444,950,739,167,
130,424,876,371,716,963,502,929,017,258,532,837,416,583,172,617,810,193,931,
483,471,227,119,215,487,551,184,702,251,504,549,761,895,127,617,513,359,062,
199,007,794,572,303,010,275,504,021,608,310,599,504,787,579,914,099,629,200,
144,173,707,339,415,545,683,943,579,798,504,966,748,011,644,972,445,355,146,
957,573,941,066,517,594,268,186,179,754,756,118,911,921,325,172,348,253,536,
897,614,495,542,456,930,046,396,431,694,910,840,551,815,602,556,436,045,987,
863,821,024,077,132,020,014,818,881,837,871,620,430,685,535,144,140,367,339,
888,395,753,198,152,108,578,954,067,459,219,482,225,695,355,474,473,761,134,
191,472,755,067,583,716,677,709,706,668,854,300,073,393,343,508,836,258,471,
768,556,480,541,223,862,753,132,503,827,241,687,342,295,958,519,403,914,533,
889,758,630,038,450,329,714,466,809,311,860,811,205,939,702,079,268,903,382,
090,290,821,438,061,141,074,611,524,767,960,009,230,915,446,066,267,358,798,
708,473,345,149,622,136,266,583,874,700,623,317,845,494,160,780,170,549,155,
309,343,910,666,801,094,754,517,863,684,972,810,941,264,878,265,119,906,889,
116,603,660,088,589,795,674,761,976,735,182,683,636,986,435,413,012,256,220,
603,577,130,240,615,613,910,743,625,871,797,297,227,279,753,382,469,174,809,
107,024,992,549,558,327,126,458,201,479,163,512,689,892,118,515,158,598,427,
316,560,422,244,022,446,317,483,451,886,181,542,283,958,361,097,202,701,839,
583,915,159,283,576,307,966,521,599,993,250,399,744,670,349,042,401,420,678,
387,963,144,571,537,775,987,839,883,773,153,643,470,966,819,092,412,319,451,
614,149,554,802,502,661,845,759,053,871,398,494,987,320,468,319,470,441,303,
524,097,846,837,542,772,110,300,990,290,986,397,593,637,230,219,178,546,965,
951,258,894,679,459,897,848,585,387,123,772,684,130,297,061,647,021,440,632,
761,121,905,894,893,319,652,162,908,138,382,565,075,173,079,118,123,983,381,
906,932,831,411,144,149,438,270,021,000,340,729,280,552,210,395,164,004,052,
591,501,042,344,440,331,471,529,320,222,077,996,433,761,209,819,511,769,128,
125,658,395,562,215,254,810,524,862,704,710,352,708,936,953,549,201,742,702,
846,382,625,565,955,837,653,457,498,699,935,541,385,266,422,000,763,231,854,
464,080,323,160,603,387,147,956,966,256,281,993,159,479,422,449,079,297,217,
444,446,499,473,140,211,733,367,841,697,643,938,024,166,528,443,107,405,121,
912,825,533,738,561,411,019,811,611,940,491,146,186,432,907,462,192,391,297,
010,425,726,478,117,040,064,799,622,941,711,387,863,679,744,070,518,363,310,
237,703,637,154,228,563,454,093,358,081,417,612,343,407,279,175,343,812,281,
175,688,349,740,435,869,043,310,050,798,740,417,340,588,504,315,839,310,801,
023,248,527,421,092,690,813,852,087,551,371,279,865,242,988,300,801,958,640,
627,718,945,456,875,676,101,852,870,055,345,056,802,754,004,007,247,969,425,
697,166,997,951,889,468,049,184,716,523,779,160,387,813,414,671,957,433,684,
243,125,155,413,842,190,970,500,166,169,279,710,626,777,453,427,714,994,469,
728,109,700,309,439,866,145,680,707,275,031,178,850,092,082,772,565,279,887,
747,809,624,263,236,369,418,734,554,619,229,978,336,358,124,010,416,054,845,
588,997,294,342,818,965,155,747,196,004,150,953,135,562,673,158,212,144,336,
445,260,982,688,583,676,294,022,703,275,706,112,836,798,566,493,155,763,741,
671,710,204,440,829,497,696,996,989,436,211,541,929,796,176,176,406,558,851,
083,195,406,565,979,499,105,092,086,705,419,804,733,771,648,965,509,878,967,
937,706,122,147,355,650,227,337,978,997,228,711,235,795,810,637,266,566,259,
847,829,185,615,040,720,613,147,034,127,761,287,338,796,226,033,333,620,386,
369,709,258,972,142,835,597,105,247,227,801,231,336,880,108,264,937,105,072,
984,935,187,682,590,394,491,272,789,801,218,680,106,715,513,121,146,538,756,
519,999,383,195,283,862,942,999,883,693,983,484,997,391,488,178,116,800,180,
328,324,239,801,533,928,255,529,157,979,364,168,015,262,279,383,399,927,840,
528,279,858,557,706,121,021,466,938,754,639,626,188,332,051,622,378,338,466,
086,402,004,634,091,493,394,345,874,606,401,596,614,596,811,245,874,758,645,
340,539,911,068,003,308,016,831,056,549,815,232,975,570,977,604,803,015,392,
996,248,248,181,869,417,420,719,523,749,332,140,100,193,750,603,812,166,739,
586,728,113,403,072,642,873,007,414,553,942,256,840,410,365,061,873,708,105,
287,658,891,973,583,085,011,481,336,535,073,167,136,734,168,614,342,765,691,
872,340,124,096,921,947,578,285,404,987,757,317,132,667,334,490,419,887,940,
664,222,543,473,629,659,031,500,320,076,254,380,416,853,270,039,490,710,252,
216,856,945,977,812,664,539,247,824,489,906,688,085,627,149,105,656,597,196,
128,949,098,590,371,469,754,030,807,248,737,282,026,999,913,730,537,849,666,
701,017,924,258,173,034,687,306,873,069,922,449,318,683,254,937,878,142,515,
950,728,273,050,424,592,072,716,962,696,603,259,353,259,079,408,662,997,783,
428,129,296,952,825,060,025,443,411,272,892,385,980,305,124,357,913,094,469,
553,513,457,103,418,472,107,947,378,796,772,266,312,975,642,237,238,915,359,
344,487,634,584,269,539,763,548,114,956,341,839,699,620,176,221,933,893,367,
325,483,022,137,580,740,339,751,572,484,946,339,219,674,127,029,380,643,049,
123,578,367,813,476,886,902,052,418,017,142,196,002,015,645,004,135,453,894,
459,414,321,229,145,587,260,828,853,516,667,695,867,273,382,171,523,894,335,
236,462,874,269,221,923,404,973,413,140,744,206,945,295,968,453,894,933,698,
468,208,307,556,184,389,672,308,164,636,049,654,607,484,054,792,683,525,791,
198,738,864,560,768,828,014,712,443,161,063,175,454,950,092,950,951,693,768,
613,655,534,262,288,296,678,948,611,616,337,511,750,951,819,996,795,822,583,
007,411,447,723,809,475,742,162,739,078,935,824,021,414,041,119,335,680,775,
622,455,310,508,549,732,055,746,106,655,657,369,132,974,333,442,256,388,093,
243,110,131,832,294,938,128,331,857,530,296,151,642,282,261,144,925,023,701,
716,937,579,634,623,873,959,426,234,324,632,463,480,738,463,819,166,475,240,
002,044,564,359,384,009,957,822,554,371,907,567,354,623,040,198,733,861,438,
581,719,477,129,794,202,296,681,180,942,097,754,733,160,502,848,676,720,035,
227,535,994,663,299,738,629,342,868,610,691,664,639,206,431,337,713,209,950,
150,927,136,572,487,285,980,277,613,617,425,399,716,744,663,657,863,023,877,
837,805,604,656,349,359,681,209,156,222,252,054,956,717,503,162,718,227,319,
606,994,335,627,634,836,722,759,845,748,217,982,176,209,211,234,309,695,204,
752,868,313,683,711,052,075,032,272,857,387,454,792,690,370,152,506,285,869,
404,506,824,073,378,034,780,117,778,639,501,566,034,001,432,953,343,657,727,
685,346,820,168,594,998,413,017,422,591,882,670,600,756,697,771,797,937,185,
380,257,894,258,125,880,903,177,329,345,709,334,418,577,736,047,506,277,593,
729,212,157,012,731,607,857,487,962,996,196,770,772,240,714,963,532,309,565,
456,047,240,079,054,440,941,726,996,328,045,472,518,680,299,027,386,699,479,
891,291,884,379,524,230,583,271,233,108,786,211,057,620,881,517,286,495,954,
670,209,974,487,328,394,032,268,174,566,685,515,287,035,270,139,453,485,300,
038,106,263,089,997,907,765,136,991,265,802,129,708,473,097,872,211,636,624,
328,578,616,319,818,225,168,400,715,511,156,616,885,948,547,341,159,694,728,
179,154,678,493,689,376,080,411,172,143,048,284,704,153,032,686,969,477,179,
593,398,661,448,214,047,012,774,611,588,214,635,088,614,613,309,046,500,220,
407,315,009,957,005,429,533,882,954,463,068,580,828,607,379,138,134,880,720,
999,213,422,701,181,493,642,255,092,052,589,354,345,361,925,240,865,140,733,
942,924,829,581,242,308,572,415,686,728,167,072,241,476,196,935,191,106,510,
846,934,972,536,227,089,861,312,277,181,480,117,128,588,184,593,265,951,877,
239,962,940,026,236,679,439,185,844,817,711,320,241,388,511,898,051,965,031,
428,254,942,441,704,817,057,138,429,204,404,235,876,596,583,667,082,547,054,
511,603,699,492,167,634,400,584,475,666,748,004,012,505,401,378,075,902,999,
399,194,072,155,202,668,529,617,095,032,401,532,140,358,478,808,302,744,995,
803,988,774,568,944,302,561,194,745,359,667,701,037,295,170,851,037,669,633,
233,648,634,620,751,611,134,455,723,759,905,501,878,724,994,221,882,667,350,
597,307,499,019,134,983,220,616,239,178,254,907,498,248,134,361,893,551,564,
058,191,182,836,916,623,534,598,632,677,280,169,568,193,768,866,503,556,977,
926,127,412,115,590,337,414,514,163,290,445,947,540,035,836,524,418,687,068,
499,450,140,451,929,815,828,223,892,537,152,971,435,091,961,606,688,865,469,
280,228,968,897,330,430,958,361,623,125,292,975,505,249,746,581,166,065,982,
984,089,770,566,227,836,134,715,792,495,782,959,685,024,286,248,055,182,899,
163,612,786,757,389,858,982,410,102,171,365,229,265,403,282,563,560,549,529,
970,828,668,544,366,708,448,153,355,024,848,911,870,575,804,344,591,300,646,
175,906,816,798,133,067,916,304,429,192,739,318,776,912,353,572,508,459,967,
322,119,289,830,150,442,438,028,284,189,103,325,007,750,408,226,839,039,848,
312,633,159,581,079,767,844,755,578,973,395,698,966,870,098,747,114,368,919,
667,321,390,463,903,455,234,569,284,281,983,264,908,074,307,608,554,130,425,
510,946,135,007,547,183,874,763,678,489,529,203,187,861,491,156,225,658,827,
948,587,984,675,512,452,512,617,288,770,472,693,995,430,849,886,792,688,378,
680,113,599,631,150,965,704,418,773,799,673,522,672,758,209,273,363,185,389,
218,555,356,232,241,635,534,249,124,896,558,271,093,611,398,402,428,092,475,
564,433,125,192,197,187,542,871,925,094,306,359,582,956,892,222,818,356,420,
677,064,728,232,101,478,133,474,627,980,765,732,822,118,056,315,558,859,454,
260,680,589,214,658,946,620,868,686,586,144,261,592,433,445,239,597,134,912,
103,223,433,079,089,237,545,662,394,532,643,811,199,748,399,648,824,984,517,
575,501,751,390,255,083,570,065,723,849,544,367,328,108,725,568,160,275,606,
957,228,499,466,667,629,958,416,565,813,562,139,822,591,616,587,618,216,071,
614,466,804,381,006,447,493,962,931,483,297,867,600,605,819,865,253,836,805,
433,774,963,042,127,334,337,480,534,643,518,972,554,995,055,997,456,763,951,
471,035,337,516,454,886,884,030,441,489,627,640,991,688,480,895,208,959,833,
675,823,451,899,058,939,265,993,869,457,180,416,377,332,932,172,900,468,848,
978,986,557,617,088,535,797,210,509,036,207,682,115,596,100,166,801,638,286,
809,407,322,747,165,508,336,774,802,498,349,429,597,803,572,159,776,429,128,
461,837,206,096,880,601,157,203,331,868,245,746,656,030,325,515,855,994,302,
096,909,537,640,993,107,546,981,784,622,122,993,097,740,349,886,736,909,751,
360,942,181,590,615,198,228,896,573,537,971,504,351,216,836,244,960,671,552,
735,871,168,573,804,847,665,436,217,437,542,151,891,523,379,995,917,484,261,
578,039,316,074,143,183,240,175,304,925,632,751,479,678,194,758,005,411,248,
241,742,573,387,047,935,767,693,987,544,511,476,911,457,902,889,720,933,402,
055,712,649,293,063,235,884,807,904,889,315,062,586,036,797,371,229,184,914,
672,972,001,827,471,732,491,631,506,267,943,732,006,991,794,310,198,303,451,
162,544,423,454,153,670,774,890,535,754,616,183,698,356,614,923,342,540,940,
898,536,953,295,428,392,420,371,472,317,081,363,151,411,646,122,029,543,886,
889,946,460,590,887,208,318,633,956,632,859,390,340,353,186,893,680,061,750,
523,739,603,659,100,985,947,908,431,121,018,899,360,790,637,807,324,554,968,
435,571,730,930,760,962,088,074,488,520,052,442,592,089,033,881,780,748,421,
630,393,749,128,854,420,510,869,624,643,590,088,430,215,821,266,341,818,039,
042,536,445,957,991,474,583,261,726,264,093,964,061,395,667,986,820,620,708,
530,617,383,426,375,781,014,079,931,208,815,577,751,692,861,677,201,308,726,
795,879,114,609,822,564,916,189,810,683,333,321,096,569,626,741,337,991,377,
902,435,726,147,712,017,928,984,454,399,972,645,018,180,472,939,870,720,287,
537,915,253,181,773,455,633,534,119,133,914,265,168,870,881,432,639,148,516,
423,944,573,819,069,651,544,380,855,866,952,035,011,436,384,482,005,301,823,
668,109,626,426,069,529,020,469,555,467,296,272,819,959,069,208,803,700,181,
925,224,706,559,881,959,584,688,237,313,464,959,978,981,234,938,211,856,822,
676,781,712,076,369,400,165,683,164,552,995,186,450,595,666,984,886,144,120,
930,306,160,277,878,790,432,844,066,906,341,362,315,756,306,397,702,985,010,
850,050,181,604,176,855,215,831,406,720,564,031,092,121,172,632,897,685,376,
719,410,647,794,387,711,551,604,282,076,281,695,111,304,544,754,766,246,284,
751,763,382,865,254,600,521,678,375,058,147,620,974,803,098,143,465,397,466,
045,187,612,589,413,083,877,353,604,219,047,508,246,589,706,966,989,773,718,
165,703,732,934,250,201,457,459,778,471,291,500,911,491,378,788,287,042,946,
452,638,076,636,331,590,271,612,695,569,941,075,885,276,658,367,049,583,679,
970,817,193,120,351,494,983,748,423,452,030,562,474,222,279,872,129,184,128,
302,432,451,468,758,629,674,018,225,605,657,584,589,487,872,111,465,217,855,
559,046,959,021,976,127,536,811,535,815,365,402,069,187,471,953,935,633,540,
413,271,638,061,577,078,547,848,750,777,164,403,079,585,873,581,698,118,783,
459,910,549,381,390,387,888,539,886,575,896,338,347,474,136,455,612,670,687,
663,474,422,982,098,073,403,213,510,013,281,037,974,109,394,576,282,170,476,
358,122,013,039,621,119,920,106,866,581,288,310,351,494,324,319,053,014,879,
246,847,271,775,457,418,949,307,769,841,922,027,385,270,149,914,100,969,362,
693,914,806,411,118,630,850,488,469,782,651,076,175,433,616,477,684,798,215,
434,363,837,416,022,818,517,957,997,700,009,605,399,092,046,515,231,866,902,
291,493,749,228,032,235,065,233,881,762,296,217,130,552,564,138,691,748,900,
602,152,135,678,833,565,239,633,077,577,032,461,484,519,555,221,255,696,713,
389,937,988,053,704,642,242,484,857,497,984,210,093,798,760,899,837,679,562,
818,481,708,269,190,547,891,936,662,945,348,053,642,237,217,551,349,879,352,
809,669,890,520,959,135,552,964,606,218,564,997,497,850,013,283,582,173,661,
775,086,392,832,425,609,265,917,343,001,348,856,127,330,854,053,530,867,071,
737,933,342,439,396,396,292,100,407,054,493,990,487,804,572,008,358,063,276,
168,426,221,549,734,968,825,845,801,559,938,333,968,493,839,793,602,089,603,
637,870,245,200,679,775,575,075,891,205,661,777,635,486,982,282,014,019,411,
724,558,833,336,367,231,858,102,122,710,022,819,720,995,835,542,157,204,026,
470,706,805,696,981,244,100,086,334,042,148,092,620,809,251,873,193,102,691,
918,260,673,974,690,149,022,864,732,754,225,653,515,435,247,358,584,844,965,
044,317,134,774,133,797,350,618,741,252,808,339,831,161,890,433,561,440,883,
918,904,432,271,622,517,118,743,387,114,196,206,081,173,268,167,910,606,470,
886,286,021,242,509,151,558,013,908,331,893,531,894,599,497,417,887,282,960,
844,891,989,275,998,531,956,246,014,275,491,094,124,597,752,433,544,955,828,
814,876,975,537,741,132,969,208,574,461,865,355,586,036,241,015,120,414,234,
709,232,343,024,348,807,981,876,363,891,846,493,642,797,926,604,786,617,549,
442,671,413,144,462,389,678,589,607,685,782,026,164,736,323,985,238,281,809,
047,213,633,842,007,178,826,992,550,084,674,646,361,383,476,683,692,935,170,
561,614,252,159,743,454,285,152,641,295,339,127,753,429,498,099,177,997,331,
121,949,814,596,190,590,689,703,828,334,558,284,721,687,394,537,048,855,328,
962,923,279,016,640,588,506,576,936,697,281,360,173,181,384,392,706,906,369,
834,184,477,855,398,226,550,206,397,161,337,635,608,066,937,224,747,694,609,
093,451,372,952,610,592,028,578,506,173,479,440,330,291,336,096,387,439,637,
342,808,159,482,658,458,080,584,731,823,490,638,464,525,569,559,997,567,234,
627,624,018,347,144,376,314,376,863,486,893,384,427,429,860,585,777,794,257,
511,844,512,206,863,493,316,325,549,043,267,713,193,145,398,102,386,361,089,
111,760,197,126,211,173,638,753,452,658,759,424,937,040,203,486,556,317,393,
869,533,921,775,203,355,873,287,757,192,302,536,957,079,740,364,491,845,916,
239,454,293,239,849,140,054,411,146,436,085,365,213,323,809,627,699,867,803,
971,166,725,752,215,644,521,534,174,455,761,986,942,098,207,956,434,504,186,
197,944,516,514,189,899,455,448,490,884,159,748,560,825,282,915,946,655,508,
471,926,439,840,341,417,718,780,928,946,291,141,391,135,582,954,374,983,292,
525,249,450,125,186,466,648,355,284,551,749,652,770,682,765,389,207,358,947,
972,616,453,073,579,544,866,173,949,779,913,608,587,630,615,684,215,428,543,
777,417,308,504,105,063,727,593,007,233,795,892,860,262,194,387,175,348,917,
448,037,258,542,509,477,322,675,749,736,051,619,187,371,450,579,125,619,955,
615,109,613,418,697,309,882,847,915,588,729,058,086,888,289,626,049,240,907,
461,338,912,425,585,669,121,014,672,219,063,890,722,384,162,577,889,288,324,
065,056,369,153,349,184,098,700,204,613,977,406,493,230,821,393,008,970,578,
910,202,916,922,329,708,790,685,574,056,943,631,341,804,097,081,842,276,599,
507,943,763,083,821,288,587,689,000,974,302,010,147,401,379,779,634,468,454,
634,677,054,188,708,448,830,812,416,616,136,322,659,464,167,749,709,711,597,
933,727,994,105,924,460,991,110,304,735,761,692,992,115,838,818,941,847,176,
218,237,629,392,361,214,878,115,860,976,209,108,025,534,142,282,520,190,293,
888,884,932,871,338,962,639,674,792,568,513,813,671,481,811,139,270,056,002,
622,534,657,539,308,777,219,936,537,557,963,169,649,414,931,410,540,640,898,
074,753,479,208,289,224,961,720,132,258,785,886,973,418,400,403,711,089,606,
445,858,678,508,589,082,028,277,302,845,465,074,634,131,353,749,969,660,591,
250,065,362,017,711,850,283,143,422,052,558,464,468,952,562,943,300,774,469,
065,976,354,344,709,658,541,349,302,686,988,677,727,958,026,567,421,303,798,
719,735,028,868,147,772,240,127,490,300,219,722,461,241,448,129,475,362,610,
852,755,301,522,959,388,793,663,292,597,852,349,794,091,878,414,223,067,899,
112,789,778,462,115,709,050,470,079,576,524,825,796,033,726,150,010,800,953,
882,342,052,778,782,705,083,865,246,183,936,559,075,488,574,039,334,895,931,
153,583,217,729,021,347,662,802,719,802,638,108,379,306,934,341,205,705,328,
130,159,037,111,174,436,573,658,429,817,291,873,738,555,708,994,153,537,358,
712,487,518,058,441,120,029,797,702,901,053,752,898,034,274,033,834,141,703,
110,547,738,349,292,260,766,701,122,337,952,016,737,896,670,926,258,744,770,
522,114,792,630,090,936,128,791,002,002,693,882,678,427,899,607,822,001,691,
233,751,897,502,676,096,641,511,422,890,352,760,022,651,081,336,963,398,173,
050,327,042,933,994,547,739,818,784,805,194,256,898,258,102,394,376,915,429,
565,270,837,566,472,317,609,514,968,812,813,799,844,608,638,734,459,491,919,
500,699,672,886,663,031,812,444,314,221,952,883,055,203,425,388,269,859,192,
576,542,259,702,148,440,035,245,159,908,065,961,175,475,925,026,479,557,466,
352,693,877,575,931,196,246,265,321,771,317,482,546,558,308,945,327,355,046,
156,361,967,220,732,212,604,485,663,081,061,946,326,258,940,822,538,454,820,
778,372,801,377,190,161,415,071,031,259,809,026,889,489,655,772,692,342,243,
018,592,562,441,881,410,476,703,257,838,395,500,713,453,544,437,860,264,287,
323,531,363,804,006,555,591,356,487,182,687,787,039,284,555,246,933,514,744,
555,335,188,317,738,418,924,434,148,201,952,533,197,332,611,818,033,904,093,
903,187,413,135,976,040,220,421,106,768,349,591,349,119,393,266,601,928,480,
713,724,058,034,027,225,304,813,176,755,588,718,181,197,630,392,844,076,454,
713,090,120,461,573,456,109,523,144,287,015,584,394,790,155,687,812,619,767,
027,838,970,913,132,797,456,371,239,836,950,640,749,009,685,657,756,784,889,
902,263,978,168,364,182,066,317,571,040,678,315,734,655,452,541,661,932,611,
278,856,454,697,487,392,690,129,205,279,450,002,978,901,429,158,330,504,221,
600,340,327,131,572,363,797,753,213,709,273,572,587,976,155,601,863,957,348,
788,322,184,762,869,531,809,102,191,888,249,134,747,844,311,679,681,866,496,
108,647,020,012,413,302,789,431,557,724,471,460,274,597,286,262,190,636,852,
374,621,967,340,659,715,459,715,300,020,359,095,855,482,906,233,152,305,895,
532,381,470,624,276,081,630,436,301,557,370,788,744,328,543,285,907,181,399,
611,788,753,115,866,326,242,427,294,663,178,101,784,786,459,176,393,657,344,
200,460,209,540,243,026,961,195,453,839,148,970,816,978,220,143,319,356,655,
360,182,777,968,239,220,149,939,002,823,359,527,697,861,172,333,704,646,945,
400,847,963,778,842,349,213,209,111,586,768,369,463,673,354,058,291,760,075,
739,721,534,436,833,188,532,351,201,746,785,359,903,943,235,569,073,445,313,
313,576,971,249,336,451,426,842,445,494,610,345,506,391,951,305,063,209,923,
298,809,288,880,289,835,845,638,132,150,041,309,157,522,170,053,115,335,034,
592,413,011,101,627,268,336,861,941,083,137,510,125,451,445,103,592,740,052,
759,393,330,595,712,479,012,847,027,173,487,454,653,103,489,939,579,376,621,
501,375,716,029,266,204,569,914,257,915,618,452,947,856,038,983,023,718,601,
709,083,258,027,869,498,268,943,904,332,219,911,012,225,250,873,494,307,635,
166,674,007,114,739,828,919,156,975,969,696,431,371,518,413,848,218,719,999,
642,298,146,152,320,789,825,706,476,779,097,693,648,833,661,865,381,156,713,
350,779,906,215,310,464,033,275,488,190,008,251,542,782,544,316,943,000,814,
629,561,075,170,447,390,104,895,872,224,575,418,504,489,064,770,816,113,222,
350,374,901,402,648,036,341,676,277,596,369,617,264,295,757,059,989,714,581,
570,979,162,025,560,148,994,884,713,229,151,388,105,920,175,660,392,857,791,
318,639,884,007,060,418,068,624,142,416,647,142,162,445,617,529,722,284,670,
490,996,020,976,715,215,903,827,119,128,178,278,087,883,736,130,127,007,035,
700,319,765,223,524,267,927,655,639,616,009,635,087,797,479,651,584,962,362,
772,793,515,625,194,121,782,717,183,341,007,375,776,123,315,991,634,905,247,
484,812,936,718,243,334,571,902,708,675,445,759,421,897,994,536,450,786,150,
213,663,665,549,525,595,413,546,159,690,144,980,350,569,977,672,566,391,180,
347,453,877,321,472,651,754,646,057,918,063,266,939,188,959,262,545,228,733,
270,002,727,342,209,373,525,659,115,919,100,397,410,389,046,909,600,630,961,
586,886,869,057,910,953,348,285,907,434,811,921,618,619,165,487,095,381,582,
806,797,062,421,430,559,676,708,787,866,025,509,987,822,992,614,273,887,243,
403,476,085,981,282,350,587,402,427,652,689,024,355,626,712,539,884,778,041,
200,399,652,316,476,497,992,953,406,880,788,192,571,268,954,527,338,233,982,
788,477,056,101,456,094,998,749,485,732,158,769,102,581,535,923,584,884,569,
149,578,426,654,843,715,841,066,048,005,265,422,534,480,102,430,587,896,484,
284,225,074,095,925,601,881,547,539,750,044,335,974,445,269,914,610,224,356,
674,088,545,062,237,618,997,112,279,343,695,579,609,254,120,854,948,561,843,
027,253,588,657,746,649,816,834,792,841,289,228,624,072,820,829,066,078,314,
588,278,333,821,355,799,063,203,073,730,723,600,792,164,750,893,542,157,479,
878,493,332,249,702,924,490,490,146,400,899,402,936,335,316,874,020,258,012,
745,201,191,780,538,920,874,766,404,460,035,977,774,112,705,492,819,328,564,
558,477,256,047,306,732,629,208,687,084,328,247,326,713,684,486,790,435,523,
825,336,657,489,955,367,352,785,338,329,971,500,982,807,110,239,128,250,819,
057,402,350,987,151,928,415,104,599,105,337,629,984,459,246,063,103,915,226,
462,510,236,379,498,887,987,529,420,515,627,871,364,825,634,275,803,345,638,
869,591,622,668,222,383,580,046,179,641,746,360,918,832,762,688,451,198,497,
272,673,947,870,803,723,260,414,020,837,551,096,851,761,219,818,998,521,968,
616,376,606,454,927,790,005,504,922,146,860,219,654,779,070,010,949,866,102,
534,030,274,616,814,392,682,657,615,069,265,755,774,631,716,419,453,741,499,
233,977,199,126,130,028,890,953,270,822,929,058,441,212,429,068,195,612,302,
515,258,086,456,223,392,962,077,650,621,459,814,207,124,026,065,262,332,478,
779,200,896,850,056,719,052,517,636,698,458,146,280,673,934,111,598,376,920,
515,364,169,092,310,089,412,973,387,284,029,470,140,449,025,312,798,186,561,
388,613,255,457,284,245,428,152,081,316,024,834,607,122,537,450,688,642,427,
738,459,073,090,708,456,753,161,302,818,651,492,868,786,764,763,435,087,880,
314,831,266,042,758,495,691,203,158,933,870,734,542,306,603,002,754,428,586,
135,935,618,866,740,478,496,942,067,732,762,048,016,537,465,301,317,162,043,
215,889,614,037,985,833,924,744,606,135,210,560,567,425,455,598,183,153,355,
619,166,617,389,683,390,158,597,408,177,873,409,380,517,026,550,255,140,636,
734,786,484,990,690,130,818,621,286,478,062,790,543,645,652,277,062,637,713,
935,529,630,248,899,822,904,741,344,127,421,557,397,251,377,434,988,992,006,
650,787,504,352,413,645,675,681,020,016,467,825,661,027,673,822,754,957,487,
438,309,715,682,440,995,333,535,474,736,887,719,372,945,347,364,264,739,307,
014,987,869,704,309,027,993,598,119,543,883,585,387,048,044,083,602,079,514,
814,938,818,940,123,375,567,799,553,478,367,435,981,254,078,615,629,626,262,
689,704,072,843,055,561,970,696,934,103,008,138,745,386,186,370,290,843,969,
510,303,557,150,959,223,089,934,024,807,007,167,187,436,728,516,685,943,927,
198,771,337,129,822,919,792,883,825,725,571,305,572,431,377,230,712,629,480,
556,841,641,872,418,295,532,315,221,912,276,709,565,358,462,539,565,980,418,
466,903,464,520,773,160,662,039,483,555,450,788,631,283,241,274,458,083,585,
816,907,519,686,428,411,264,172,326,774,262,446,627,905,176,666,687,965,345,
872,349,285,408,378,187,404,593,998,840,868,764,915,644,298,315,785,338,525,
405,259,540,508,231,985,217,750,282,939,677,984,151,341,759,450,599,462,595,
590,131,523,544,070,601,942,925,212,924,534,183,069,885,354,725,754,598,716,
511,482,067,438,763,117,401,012,795,746,660,997,486,964,120,159,350,297,011,
676,498,358,568,982,280,089,219,835,343,690,379,273,109,435,362,753,708,627,
219,975,912,761,184,206,272,521,884,808,626,636,112,226,892,983,241,560,396,
996,875,013,830,871,909,958,792,927,212,308,077,468,488,584,837,986,724,797,
254,102,350,419,878,119,523,391,345,724,635,687,556,884,559,487,992,143,701,
806,642,343,083,333,947,929,970,841,464,067,873,824,221,588,076,784,179,769,
069,247,246,725,894,878,102,139,882,015,203,163,505,433,168,711,106,165,042,
415,429,343,621,823,945,634,748,894,119,762,030,527,289,044,638,542,113,535,
669,779,069,177,507,265,704,654,786,138,821,382,312,484,082,093,693,055,635,
239,370,848,579,216,801,722,606,356,791,441,233,485,116,432,871,086,328,626,
385,654,748,036,427,743,548,878,606,860,401,217,969,772,607,878,875,864,357,
727,289,285,212,710,413,419,004,248,637,129,448,502,734,239,501,313,767,816,
276,570,569,591,071,879,318,815,615,370,989,009,319,458,881,444,760,467,800,
770,861,481,056,625,387,164,390,941,869,990,452,373,094,544,478,942,417,204,
133,384,263,523,997,432,744,373,150,529,068,793,256,872,353,526,452,597,705,
547,416,342,371,114,488,116,691,017,971,801,179,897,876,234,495,580,080,279,
599,861,321,557,551,469,810,738,497,489,252,821,192,948,060,695,571,030,416,
794,720,047,458,021,647,478,834,072,757,801,351,998,839,946,211,357,638,922,
071,330,188,096,041,828,119,262,360,713,250,636,257,697,928,122,663,624,254,
157,906,486,500,659,325,725,746,727,028,526,760,240,264,442,820,634,706,557,
730,422,648,984,568,307,291,658,922,150,310,586,806,422,254,178,868,341,818,
448,462,791,075,918,288,473,003,790,732,558,817,428,531,096,004,785,644,824,
121,498,454,002,288,926,089,128,641,707,825,426,522,912,049,075,815,346,291,
786,620,327,688,827,608,420,909,131,327,238,492,709,367,640,130,401,531,772,
594,422,813,585,073,535,251,138,411,153,098,156,288,934,116,666,105,330,462,
809,060,614,353,826,562,690,932,431,448,729,117,199,791,571,586,157,589,556,
909,842,992,124,936,025,017,243,452,405,200,567,830,298,515,651,159,680,408,
448,759,811,752,587,001,347,556,865,909,755,467,611,972,676,007,379,286,768,
522,126,620,224,281,163,386,068,739,378,718,659,554,202,177,103,118,067,735,
998,454,261,280,934,090,075,562,690,950,514,777,169,756,057,238,430,168,685,
213,855,696,280,052,323,521,666,316,483,326,076,845,144,547,437,692,944,438,
367,014,178,021,892,696,268,084,844,190,122,199,200,119,955,392,544,273,881,
892,364,585,049,622,477,424,459,282,483,282,406,833,352,392,832,124,136,651,
934,463,458,924,088,233,359,655,907,719,268,551,038,097,237,900,886,247,231,
399,509,745,924,668,869,128,987,860,066,764,848,453,446,922,281,631,912,584,
201,921,297,416,992,051,848,467,379,355,663,471,296,182,194,290,116,662,905,
028,588,423,386,846,428,633,819,706,813,624,602,110,397,437,029,811,818,312,
921,728,568,381,609,242,179,074,964,648,937,809,832,750,627,467,515,831,005,
499,868,068,745,684,201,169,872,435,882,926,287,314,386,976,210,495,472,928,
108,106,757,269,009,886,326,911,972,870,504,317,494,628,838,213,645,914,732,
150,942,919,134,999,340,639,828,746,743,038,026,958,308,732,333,804,874,645,
051,670,827,144,644,778,055,358,140,481,431,135,609,412,795,655,674,710,490,
665,842,304,433,453,463,449,236,248,663,961,773,310,509,611,389,111,093,397,
524,620,456,680,185,827,081,158,304,549,769,974,497,634,137,688,565,360,238,
022,237,840,666,646,617,240,765,301,603,812,187,416,608,340,490,443,795,720,
910,241,359,471,043,294,101,817,732,554,949,114,359,657,717,351,864,402,540,
216,580,989,381,505,012,717,225,439,893,664,244,557,192,989,973,387,179,050,
371,233,004,631,681,162,624,270,944,916,884,133,453,113,723,019,534,098,186,
172,047,686,535,571,799,478,830,955,537,927,637,769,575,049,154,484,866,126,
523,358,446,542,176,472,246,672,830,850,158,049,927,921,999,519,047,360,997,
522,027,285,599,946,498,662,043,272,086,268,151,158,079,434,050,918,839,253,
801,287,247,808,147,081,880,403,749,506,266,732,628,376,284,563,349,603,826,
536,679,231,071,476,562,105,225,244,761,401,398,650,902,767,394,532,419,415,
679,398,670,987,021,095,489,247,250,641,347,704,649,266,752,590,931,269,630,
662,058,890,751,059,916,630,940,017,955,971,674,005,232,166,368,149,209,777,
071,461,658,519,804,432,156,213,177,825,965,019,241,182,734,526,572,458,206,
071,798,623,352,100,782,743,064,634,323,907,661,873,163,340,172,004,158,918,
207,967,904,947,144,928,954,893,072,726,863,512,710,253,887,373,428,304,677,
423,880,675,022,158,661,675,558,014,123,901,066,998,004,003,180,155,671,228,
269,713,435,175,166,874,329,225,772,811,887,347,091,324,647,144,544,237,877,
642,156,492,579,604,800,412,746,844,631,528,516,795,399,955,349,130,556,939,
280,557,537,754,779,805,106,210,318,341,594,449,052,757,516,805,118,654,533,
276,853,948,410,499,903,788,606,747,409,066,324,531,719,066,053,422,559,449,
949,963,773,615,953,943,168,309,822,654,756,991,273,104,632,143,883,300,176,
648,055,952,644,629,236,044,829,583,100,716,630,982,833,881,768,537,084,463,
705,208,067,026,568,053,542,556,467,353,549,426,450,439,381,357,013,513,333,
697,786,862,556,554,720,335,625,541,776,318,679,363,848,234,910,661,976,460,
884,028,878,000,951,738,639,286,682,593,562,021,710,817,598,369,453,941,393,
308,250,599,854,351,595,204,299,885,847,889,441,592,928,962,912,523,916,915,
343,255,922,032,502,624,696,433,199,920,416,725,157,370,047,333,104,661,477,
094,289,529,647,356,482,279,081,496,802,874,738,496,821,979,633,826,765,640,
195,023,102,925,865,410,578,995,168,003,581,875,858,064,067,187,699,443,553,
372,644,426,954,983,316,827,135,725,889,539,278,657,322,995,344,096,489,404,
686,072,944,417,470,744,642,219,650,017,570,461,391,729,968,884,711,862,597,
606,022,573,635,978,576,710,611,376,846,706,335,226,655,584,346,766,426,746,
812,246,245,779,016,368,899,163,246,675,228,635,643,499,735,259,123,602,002,
595,028,058,231,769,742,872,990,849,800,260,336,595,609,471,341,360,515,305,
857,073,631,346,061,790,508,411,607,030,805,428,934,472,695,509,187,573,219,
234,817,791,899,665,681,214,847,784,667,083,032,421,067,062,183,589,200,216,
892,582,361,387,182,303,000,148,816,457,365,621,794,398,562,004,677,023,527,
206,387,970,676,543,382,832,398,123,758,499,786,536,016,796,097,063,808,727,
627,656,045,576,327,049,426,166,932,407,789,778,003,468,627,912,225,297,658,
326,082,996,011,963,304,208,946,520,834,605,960,055,905,442,723,492,600,434,
816,514,728,252,741,727,796,001,892,895,957,976,475,210,087,372,913,447,138,
206,825,778,120,394,568,697,217,044,283,216,890,609,674,941,585,992,157,059,
264,019,583,043,143,853,014,250,748,520,201,852,832,298,740,108,846,754,828,
459,420,019,404,977,735,651,201,962,411,554,763,774,528,526,963,860,159,665,
074,127,680,353,830,591,562,488,591,926,576,591,524,804,389,684,895,954,656,
485,700,564,627,739,906,825,354,053,797,819,331,198,885,085,550,230,480,576,
418,320,090,182,308,867,362,878,593,022,177,767,562,523,536,419,741,875,392,
531,780,432,514,254,782,506,660,302,450,990,267,971,057,259,778,406,609,150,
897,787,336,108,854,800,452,267,190,250,469,343,752,566,281,005,179,576,620,
117,979,001,741,306,009,510,978,240,881,074,563,386,290,277,291,849,853,614,
237,601,751,984,517,225,127,641,889,334,605,011,798,869,509,016,639,798,753,
662,380,109,529,052,620,966,200,742,775,877,475,360,122,182,375,957,283,149,
586,328,844,356,786,475,380,122,567,971,610,016,571,019,290,195,164,956,033,
500,469,763,013,597,963,931,100,777,506,140,075,484,315,703,288,640,199,296,
670,420,977,050,557,888,780,229,730,910,461,083,182,997,028,272,214,570,920,
157,781,863,896,774,974,139,280,240,450,120,160,049,639,929,005,696,703,616,
210,708,410,158,324,843,326,209,036,987,452,012,142,121,527,342,522,265,566,
817,242,351,230,066,954,135,050,167,152,276,754,406,796,657,613,917,405,165,
406,939,022,951,913,304,096,057,990,302,702,477,273,268,605,559,373,763,573,
912,510,985,156,297,795,419,743,623,408,109,069,848,505,334,902,435,252,154,
466,191,043,940,440,275,454,338,258,804,847,132,878,758,592,204,184,437,904,
284,639,296,928,849,132,578,647,469,352,545,959,486,518,081,595,143,359,824,
171,853,619,573,450,167,135,746,361,195,955,499,393,658,382,172,499,577,553,
763,078,697,320,837,923,780,199,116,823,417,872,222,457,819,258,621,038,853,
886,088,202,342,584,787,167,088,325,134,713,702,425,393,944,060,731,297,284,
507,462,356,540,019,070,778,778,456,015,050,464,469,964,222,699,711,531,264,
975,116,692,928,843,495,181,575,772,296,564,808,946,918,908,409,317,761,303,
792,947,130,740,134,824,939,649,433,089,130,387,114,686,579,112,530,283,996,
766,386,656,758,672,703,421,650,961,236,634,822,219,843,148,505,260,521,452,
113,838,639,738,038,157,420,685,368,875,217,839,561,666,519,108,835,409,572,
701,943,480,341,594,474,912,429,441,914,078,778,165,372,932,627,002,470,326,
652,129,050,243,982,380,803,980,102,958,260,380,872,788,092,287,094,469,325,
581,140,831,703,808,559,100,089,370,880,980,437,497,082,791,855,528,926,175,
175,116,075,865,475,946,988,230,632,038,222,011,638,587,860,262,815,150,799,
137,235,787,805,597,570,638,513,393,874,938,339,840,047,628,096,717,847,531,
985,921,104,171,112,728,326,032,888,075,005,067,457,630,099,211,002,584,575,
225,529,306,085,109,868,423,156,095,256,161,452,314,712,831,739,726,543,137,
662,541,251,870,917,657,950,646,790,971,501,469,987,261,200,510,904,476,351,
967,344,051,020,618,931,826,721,074,011,084,795,262,923,163,737,078,606,867,
133,056,955,091,870,853,367,162,929,776,093,890,725,247,029,305,979,455,977,
227,719,355,116,582,469,577,123,902,872,443,964,060,147,657,470,471,312,204,
069,174,347,129,383,138,842,050,341,183,347,241,009,075,057,126,587,252,046,
801,024,539,206,052,213,810,345,607,450,590,837,128,224,507,167,761,385,563,
425,514,671,283,559,786,059,017,086,299,181,142,241,282,296,412,653,281,993,
527,400,119,843,034,464,271,445,809,813,181,432,319,920,180,887,036,361,913,
165,713,068,859,097,289,970,039,754,254,264,998,900,162,023,905,188,335,774,
571,086,528,359,855,015,104,789,366,128,725,365,006,589,824,206,386,181,975,
417,434,932,107,948,596,870,372,413,690,957,854,404,773,685,152,724,693,510,
880,128,890,528,971,989,377,659,450,011,860,530,063,197,386,402,819,709,256,
466,574,532,706,170,536,327,788,536,700,067,335,055,263,167,049,755,909,286,
358,399,066,081,187,985,539,058,719,477,419,428,398,032,692,606,989,764,254,
866,876,746,396,749,208,308,444,719,590,767,603,146,903,490,731,160,934,425,
185,241,431,474,077,893,617,347,388,047,416,272,658,808,369,739,158,831,783,
589,355,279,797,914,992,910,096,915,351,037,178,798,899,296,107,047,962,197,
198,536,095,881,908,335,922,553,207,018,264,200,628,429,830,028,693,750,809,
852,187,138,867,674,700,723,037,687,865,258,623,480,454,604,095,677,193,578,
392,598,766,902,687,908,296,411,920,140,162,311,029,855,490,557,763,309,553,
709,332,769,354,158,321,685,186,095,697,044,590,959,708,060,409,523,008,766,
230,175,560,779,261,430,063,685,411,070,595,289,316,215,875,108,657,427,515,
197,045,584,320,859,180,834,206,610,467,102,087,666,488,714,164,269,925,317,
159,016,598,370,507,519,989,254,163,089,753,824,383,933,893,609,541,975,317,
279,218,369,802,260,047,559,132,747,277,129,851,536,024,208,153,954,201,706,
581,021,470,688,215,856,382,114,592,168,418,717,734,275,947,812,707,870,106,
810,415,509,274,139,885,893,896,260,992,303,997,202,225,303,967,188,557,095,
220,866,253,374,724,017,785,185,927,599,913,531,096,880,110,304,321,198,184,
722,067,393,634,204,858,471,824,911,143,034,589,138,310,348,434,997,065,286,
194,473,190,585,757,676,347,846,861,231,656,279,542,645,347,689,371,758,598,
703,015,288,892,444,162,783,851,521,426,982,430,747,706,923,812,690,704,006,
777,125,427,007,787,738,193,282,732,482,765,903,758,013,517,599,195,720,807,
223,936,181,080,665,106,487,203,694,186,183,287,062,673,285,375,629,259,471,
440,868,412,853,432,494,903,835,167,929,003,060,576,692,977,481,031,161,540,
466,219,061,881,468,255,299,845,192,460,580,471,600,856,558,512,001,921,464,
712,911,348,952,321,148,380,721,924,931,220,199,811,541,204,726,541,278,554,
378,610,097,864,156,984,953,120,195,171,435,006,305,273,649,064,710,961,732,
241,257,434,032,513,217,329,030,079,956,700,692,756,911,325,558,290,929,522,
896,345,182,375,479,144,552,660,307,887,804,880,549,995,026,968,655,948,886,
407,482,234,072,612,683,203,686,007,188,836,997,233,816,719,500,597,622,497,
334,523,425,809,314,428,720,032,712,179,472,057,123,371,055,843,160,299,395,
096,875,061,941,061,526,968,276,518,638,135,985,281,017,336,559,208,559,858,
576,097,220,034,349,444,890,290,034,559,554,971,728,004,602,472,879,795,444,
156,474,115,898,215,496,573,398,997,733,089,729,044,938,445,994,633,585,633,
431,958,706,206,535,285,397,409,677,841,906,942,448,265,636,704,509,552,776,
118,102,933,596,388,826,712,023,408,381,968,386,597,533,990,955,578,806,334,
920,998,125,111,745,087,712,870,272,075,631,314,299,036,973,909,103,737,986,
020,919,880,887,432,968,570,908,436,359,852,505,410,736,256,604,098,209,047,
510,622,190,642,994,796,273,599,330,317,772,012,904,718,422,214,255,138,160,
825,149,425,935,086,223,823,336,379,991,382,474,003,373,516,665,112,669,168,
538,124,613,888,074,223,473,435,664,312,847,414,621,318,887,574,952,329,092,
423,703,766,988,329,283,621,767,840,466,521,576,094,115,423,170,274,487,135,
480,367,466,088,877,291,007,696,836,824,224,346,396,111,778,383,234,455,380,
220,255,807,181,104,744,561,050,878,772,629,390,218,560,099,298,706,302,543,
327,618,297,897,482,827,556,763,229,759,698,753,530,891,345,378,462,703,578,
021,927,035,056,988,517,520,925,949,217,836,081,731,522,024,505,337,123,694,
037,245,392,135,550,464,778,873,975,227,092,153,983,301,610,769,279,854,627,
770,306,720,292,353,970,917,862,472,975,561,204,040,955,508,726,536,812,869,
181,382,433,172,507,925,085,687,012,311,055,435,548,543,149,506,837,552,504,
118,956,445,424,242,579,079,079,030,757,303,474,812,716,080,319,172,041,374,
178,529,372,870,724,757,958,231,337,080,311,330,078,887,702,383,911,835,353,
166,921,064,490,997,524,346,196,427,160,857,141,159,260,172,914,041,976,201,
089,095,782,757,513,137,615,948,455,600,940,813,052,092,232,660,060,857,498,
953,210,380,837,591,980,815,089,012,730,746,431,839,103,243,098,912,314,938,
670,791,708,121,832,170,064,436,410,776,621,906,616,301,045,895,517,216,121,
155,869,204,909,913,012,559,227,070,241,214,555,050,682,897,883,150,865,677,
299,435,948,741,668,077,580,254,847,650,340,217,677,878,064,977,048,944,734,
407,774,277,358,507,252,302,929,586,185,981,631,308,739,988,301,228,535,763,
966,502,227,483,705,659,504,933,695,546,768,313,977,570,271,470,367,612,045,
987,067,279,212,965,197,657,809,853,960,238,090,443,827,377,052,265,445,759,
285,888,594,476,476,332,163,411,851,926,020,869,116,313,640,181,373,661,858,
348,480,355,660,919,002,069,656,011,343,779,121,745,334,089,245,002,361,444,
761,010,125,839,651,501,530,693,166,075,102,240,011,862,212,610,353,642,608,
614,868,051,900,229,464,999,805,612,301,653,665,361,417,138,441,718,773,121,
704,733,866,840,524,822,636,216,234,274,988,428,681,380,201,940,007,800,393,
342,022,785,536,138,647,646,120,258,796,150,113,064,838,734,870,273,979,987,
703,049,914,160,543,193,653,690,479,650,900,123,513,266,947,122,418,219,786,
290,267,490,517,098,672,950,437,638,999,371,626,931,425,198,933,805,044,942,
058,975,322,132,605,982,515,858,844,368,168,682,839,417,042,855,686,167,702,
274,040,771,904,462,150,049,550,793,767,997,977,963,665,684,335,217,746,093,
844,048,550,457,972,897,547,559,691,431,002,096,620,510,134,272,077,841,885,
501,999,822,305,920,589,632,593,910,921,598,427,488,773,006,375,729,892,784,
976,157,427,926,198,682,290,743,106,572,289,116,882,233,801,263,626,438,492,
339,734,742,302,497,611,788,783,617,602,152,988,303,172,648,343,917,350,489,
308,604,395,444,643,657,762,849,848,347,338,781,082,370,568,331,471,205,643,
717,502,703,344,039,732,514,747,477,832,552,821,359,655,743,062,479,309,636,
643,152,118,174,688,760,832,079,676,287,518,586,143,444,859,917,288,900,498,
573,303,118,524,835,283,739,494,257,499,290,681,216,097,951,226,764,089,358,
939,705,900,489,320,317,420,024,170,188,300,998,914,080,900,727,437,281,349,
011,308,533,979,020,288,257,333,165,616,599,334,829,113,271,863,230,665,121,
663,263,220,432,514,764,008,274,745,238,813,278,541,531,383,140,502,278,747,
357,049,263,322,518,061,828,107,544,753,766,167,580,873,202,589,304,270,677,
078,101,380,639,215,295,135,871,577,649,678,616,044,113,416,824,125,887,072,
551,941,642,607,278,782,653,269,183,627,422,314,434,119,878,145,885,922,899,
431,584,969,222,906,025,884,670,017,329,789,966,536,726,802,525,554,129,607,
774,773,776,675,128,952,737,877,157,888,147,431,840,939,824,214,575,204,969,
374,541,574,609,697,708,340,491,628,467,432,380,363,236,955,294,877,961,008,
237,202,825,317,130,378,156,755,345,812,584,417,827,830,196,140,826,580,630,
931,587,367,352,949,811,391,588,727,215,488,311,839,152,471,828,959,770,569,
721,170,438,996,822,916,750,886,615,702,098,739,702,699,041,322,433,526,563,
661,473,263,379,852,997,664,418,860,465,374,225,035,533,931,975,966,573,877,
125,923,981,429,539,579,767,973,086,926,891,862,281,844,336,446,343,252,506,
069,085,601,974,484,250,277,129,243,230,960,362,174,597,769,890,955,879,256,
913,435,869,914,951,594,753,238,595,943,559,495,435,469,743,319,056,843,110,
939,025,875,628,040,659,567,305,465,888,390,539,281,629,554,685,860,104,288,
989,501,894,692,905,211,675,966,070,800,964,277,529,035,563,321,147,483,421,
168,402,647,667,736,131,801,905,836,947,757,342,200,005,560,309,222,000,669,
049,293,649,305,614,570,342,785,650,478,629,564,636,254,825,740,495,293,327,
111,428,249,805,153,704,034,974,549,310,026,273,763,169,882,173,326,853,635,
270,105,370,880,280,104,586,448,597,117,241,367,531,979,151,573,325,524,000,
825,739,067,368,816,272,401,948,991,665,278,572,499,424,203,413,210,784,334,
980,050,653,404,511,468,175,801,223,532,417,459,350,303,760,568,893,995,863,
468,179,317,376,674,232,469,529,729,443,929,175,294,144,553,521,333,996,668,
382,713,191,068,457,214,834,116,302,257,233,523,967,678,238,198,767,778,363,
635,855,121,232,314,936,995,540,923,580,202,173,332,101,691,769,227,554,563,
931,488,960,449,142,501,979,190,586,308,577,008,275,692,304,980,673,247,311,
877,834,679,906,038,752,370,289,930,717,781,172,150,546,046,467,623,382,419,
556,908,135,845,628,538,948,690,735,101,433,486,463,682,431,163,190,659,921,
383,939,840,775,034,792,436,839,980,581,128,973,126,267,830,237,294,210,272,
153,094,324,844,378,200,656,451,583,604,591,140,057,087,714,401,688,075,604,
124,429,303,502,329,811,401,294,531,321,844,733,389,905,501,038,497,895,043,
400,052,076,293,404,394,464,016,320,933,124,969,647,221,753,366,639,382,111,
943,268,407,663,879,023,905,497,118,173,207,751,648,654,826,243,792,205,395,
555,698,825,903,440,377,164,678,115,094,826,160,849,470,304,252,600,022,014,
624,757,260,234,859,464,972,159,217,386,223,866,393,109,619,917,534,133,076,
005,879,028,706,559,145,482,004,569,206,197,716,379,282,162,374,174,628,768,
619,455,381,596,444,561,754,829,505,943,574,507,842,902,025,179,422,893,821,
101,083,780,854,820,857,629,195,606,905,435,159,088,633,298,561,630,144,745,
308,829,687,559,178,954,084,587,384,211,448,599,803,127,663,434,082,240,532,
657,208,405,414,426,664,266,905,055,841,296,494,796,948,460,353,351,206,379,
795,968,355,842,887,417,062,618,360,745,998,087,582,851,561,333,935,198,670,
006,436,909,909,590,303,864,016,682,211,263,002,973,442,719,330,735,519,070,
542,970,118,181,677,869,574,984,619,278,366,452,583,397,098,831,803,790,336,
739,318,672,798,539,570,630,305,886,328,037,466,676,543,435,134,094,270,571,
205,128,025,995,497,437,362,215,588,115,492,099,447,302,608,440,876,279,040,
895,763,695,179,648,700,432,179,832,037,377,837,636,358,846,957,298,986,717,
843,899,920,421,550,716,928,769,948,184,504,297,729,863,486,415,834,441,430,
365,029,170,743,685,455,527,789,663,967,363,139,395,094,925,451,578,278,385,
118,381,781,617,363,413,524,792,972,935,700,665,730,535,670,407,575,157,457,
797,926,994,953,726,121,806,837,051,962,181,681,127,733,150,748,954,819,915,
633,557,108,201,807,476,839,674,048,031,388,207,234,128,498,001,133,594,904,
162,542,270,617,594,452,407,644,042,946,456,411,670,003,206,638,287,838,898,
158,432,613,859,839,606,959,590,549,757,388,347,578,226,503,141,454,915,219,
284,364,593,482,698,456,907,318,342,029,260,635,206,449,657,015,903,951,732,
964,738,191,977,060,549,285,631,137,400,155,989,782,903,609,434,706,144,413,
357,754,781,469,933,823,228,678,062,281,489,511,652,542,578,581,916,548,660,
223,966,979,218,117,794,924,426,290,912,364,543,032,082,727,486,248,592,490,
756,189,442,284,598,473,594,284,882,918,847,855,829,698,870,371,985,415,542,
120,146,750,114,411,935,069,562,501,578,686,766,809,541,546,249,333,191,646,
444,571,819,589,503,430,284,111,791,951,819,987,368,627,240,183,012,301,979,
176,013,497,713,053,406,094,389,242,260,244,585,959,518,378,450,886,832,787,
754,850,343,898,559,783,761,153,048,634,691,437,066,737,620,090,983,326,513,
817,472,958,824,831,566,505,019,234,762,623,721,576,809,651,306,908,587,423,
403,610,883,790,242,937,510,373,829,769,834,603,604,437,185,554,332,064,047,
232,898,610,449,058,598,102,418,117,018,897,925,364,157,450,739,971,620,920,
023,163,166,371,859,283,392,119,195,902,934,317,700,780,840,910,502,976,196,
744,071,495,901,241,677,486,043,266,587,268,990,430,211,293,574,419,539,752,
526,216,617,797,087,084,886,967,460,166,928,620,546,908,472,477,387,281,011,
526,678,613,895,044,282,248,996,289,064,201,825,321,179,563,528,199,048,800,
339,443,632,435,024,854,947,913,117,125,021,568,109,077,350,912,162,700,505,
355,233,688,872,211,592,925,398,328,948,631,671,162,826,837,964,570,325,851,
497,266,880,227,507,114,136,327,965,140,549,597,330,395,967,461,556,031,759,
162,859,084,434,544,733,248,726,363,048,451,083,768,669,466,820,931,122,662,
058,728,528,506,164,495,641,769,479,467,494,214,504,540,412,983,056,918,733,
123,807,578,024,845,627,538,274,625,818,440,959,772,286,872,953,006,129,170,
307,316,713,242,228,635,676,433,947,892,983,477,748,120,048,596,863,581,467,
364,051,914,593,776,326,745,152,091,559,145,572,380,916,379,682,907,828,724,
603,651,077,133,623,157,284,573,880,597,055,693,451,001,411,097,776,565,167,
972,649,173,672,408,778,541,769,315,500,313,821,773,469,235,492,106,745,440,
279,100,604,083,539,777,234,959,029,068,313,446,924,322,773,679,449,559,772,
240,833,112,319,524,790,540,298,020,442,227,828,867,119,757,631,786,236,088,
497,443,101,033,849,110,875,045,088,571,712,704,063,963,406,585,695,735,735,
884,438,968,426,151,965,979,186,640,429,508,879,453,039,942,149,820,358,544,
435,271,512,448,151,593,270,719,838,697,520,718,707,716,995,209,610,337,460,
838,867,127,841,435,671,020,208,839,216,468,436,893,243,737,398,678,830,936,
641,903,953,475,999,948,098,626,830,332,090,659,444,207,251,515,739,216,284,
615,420,553,980,738,816,425,426,009,462,329,525,076,757,455,765,506,972,471,
486,088,978,438,994,783,568,815,244,564,696,716,287,739,964,691,542,267,308,
552,315,058,390,186,648,534,154,445,999,011,375,062,596,955,778,335,115,143,
730,083,542,531,779,277,013,435,687,214,399,539,008,559,681,732,884,407,713,
217,607,064,134,303,384,518,198,255,598,109,661,059,552,618,746,010,914,587,
210,529,436,623,582,129,869,322,275,671,942,521,940,807,233,900,379,750,317,
446,594,807,367,280,437,343,211,422,136,504,597,596,739,265,313,622,363,955,
532,558,299,431,076,124,166,837,277,046,650,965,579,304,672,667,376,600,903,
794,585,624,332,119,546,789,674,921,307,791,440,508,702,139,382,666,859,114,
765,947,312,050,975,521,516,097,450,692,294,271,703,093,313,155,646,352,155,
880,080,148,196,934,706,631,043,056,724,062,282,653,631,344,548,546,492,294,
713,796,041,814,552,297,114,625,614,732,710,433,153,549,531,075,289,054,112,
478,094,303,825,534,165,865,851,118,344,452,883,971,393,390,645,107,730,775,
778,839,648,982,709,712,167,129,241,279,491,377,834,520,579,739,684,425,893,
509,422,031,933,239,672,955,513,195,450,823,939,204,618,429,037,772,394,674,
559,154,417,458,034,416,180,006,022,878,213,044,292,812,555,584,784,611,007,
096,743,822,208,220,890,078,134,013,311,679,751,976,584,918,371,343,430,514,
059,098,177,594,543,909,372,386,319,966,374,522,560,560,579,870,167,335,289,
628,684,293,095,692,546,846,377,363,268,104,335,129,348,721,198,862,538,757,
106,072,309,646,754,993,223,678,685,227,957,054,700,163,023,670,901,490,666,
287,787,960,114,167,312,059,623,660,454,454,903,069,310,349,481,334,220,922,
745,220,549,552,382,134,879,116,239,830,392,149,147,712,816,982,838,896,441,
822,558,597,065,803,616,406,010,136,410,790,079,326,896,608,464,430,716,755,
088,545,377,796,093,705,743,140,513,843,741,213,141,957,949,089,402,072,751,
811,286,025,830,567,158,847,975,633,643,865,900,881,368,982,133,535,330,129,
152,525,638,868,160,475,376,832,859,681,222,670,034,356,099,525,530,438,011,
439,779,136,957,527,104,455,447,860,444,802,320,434,866,708,935,044,690,345,
327,069,330,156,486,425,143,837,984,721,694,791,476,642,528,092,795,329,772,
340,316,304,453,363,894,398,288,042,294,001,082,688,782,826,794,776,621,046,
392,013,401,571,938,508,732,805,858,733,578,700,675,245,803,973,739,878,255,
536,427,302,822,990,607,260,381,161,772,954,063,323,991,171,480,433,539,485,
719,515,506,713,780,861,857,806,429,182,438,399,862,703,998,314,876,464,782,
641,703,546,588,003,255,196,792,044,379,290,961,302,092,831,362,172,865,816,
884,279,967,321,078,640,033,861,178,919,474,913,960,556,513,168,637,295,699,
681,311,762,543,811,020,032,382,950,075,341,735,746,968,313,897,841,865,844,
462,567,612,425,452,260,585,138,377,913,991,447,684,459,603,414,939,894,427,
361,538,503,367,374,467,692,391,828,573,266,815,715,911,790,808,073,085,561,
065,111,696,418,377,798,039,501,296,419,942,794,512,916,082,043,748,411,968,
658,478,523,333,274,776,260,394,191,749,969,448,818,176,225,963,838,902,978,
323,570,543,571,386,440,195,425,568,051,872,678,949,005,077,576,180,995,066,
588,829,945,561,205,495,640,405,694,015,281,795,034,019,161,344,362,473,190,
189,938,464,025,256,214,977,714,453,081,417,405,813,619,420,064,321,031,093,
549,400,426,224,928,414,059,451,884,797,540,998,682,630,341,970,706,672,467,
016,172,605,837,356,938,099,697,494,646,123,282,330,985,212,269,029,370,574,
216,795,207,840,063,177,861,575,035,964,452,531,490,156,464,252,837,251,180,
910,282,188,602,052,724,481,166,287,430,513,556,680,478,954,938,662,477,022,
445,476,351,247,213,716,949,043,931,517,310,119,767,923,734,244,581,599,461,
807,408,395,509,464,876,240,166,514,296,479,193,992,286,479,689,441,912,423,
503,895,976,848,408,808,931,623,243,833,766,873,796,414,242,337,280,181,670,
348,275,920,355,501,959,089,493,092,781,941,720,888,121,069,196,101,599,217,
498,656,007,159,585,110,035,966,553,068,163,372,484,364,166,089,601,195,753,
721,061,161,179,157,923,514,344,192,017,273,306,262,554,429,716,330,976,960,
924,027,500,962,994,388,472,355,831,651,206,996,720,794,611,111,873,201,245,
176,119,093,289,567,525,000,884,861,514,978,289,390,932,772,438,921,311,366,
534,580,145,957,833,001,231,679,539,210,768,970,714,943,675,387,778,131,457,
057,974,606,167,901,188,520,781,238,531,190,796,670,448,336,604,732,028,390,
854,332,074,342,952,164,571,055,274,908,133,801,652,163,529,429,451,695,715,
858,431,788,731,297,849,143,218,772,615,780,816,859,049,271,613,516,727,651,
187,434,328,885,858,437,500,502,752,532,488,625,116,634,670,863,649,439,563,
816,823,040,004,880,856,985,572,642,596,209,142,122,862,071,368,893,940,049,
842,942,511,714,491,373,008,233,844,342,228,129,850,122,084,652,240,676,470,
577,041,093,943,893,694,259,907,673,515,253,355,829,923,845,769,370,082,980,
809,077,418,814,170,962,622,352,782,212,496,085,613,753,208,354,773,685,017,
419,114,503,387,230,801,881,063,268,698,678,290,151,862,392,187,374,614,648,
028,771,243,134,768,630,901,293,989,484,448,752,624,269,634,265,433,152,412,
854,858,056,368,821,325,172,947,440,281,397,107,033,418,647,808,015,597,596,
988,052,933,279,761,587,105,377,321,561,998,407,680,799,683,849,417,173,017,
470,936,095,381,828,742,271,561,838,723,030,021,477,853,336,974,679,406,286,
564,056,220,583,525,982,312,740,396,706,747,843,192,795,903,368,237,802,035,
165,166,236,020,505,444,138,465,225,446,159,657,927,854,783,894,464,582,623,
501,384,421,976,653,742,405,979,276,790,331,653,914,598,716,715,770,117,642,
713,488,352,751,611,187,603,012,931,815,156,034,915,208,130,317,996,208,211,
538,035,427,978,192,421,991,710,962,456,295,674,848,536,949,851,968,300,434,
127,213,662,143,495,978,177,993,376,576,955,261,218,794,625,982,237,285,371,
709,158,119,572,868,504,262,592,477,935,582,949,157,763,371,899,255,958,092,
753,672,741,853,847,075,689,497,911,365,443,679,633,190,880,762,135,564,045,
243,629,988,650,060,577,186,290,368,366,946,898,438,621,221,148,299,490,456,
088,018,627,425,277,978,992,492,415,742,003,573,124,846,332,666,817,172,399,
108,770,886,679,646,243,569,183,494,239,886,197,826,936,385,465,201,893,679,
584,961,423,704,106,006,734,835,882,804,896,163,437,863,156,299,107,587,859,
900,709,680,434,764,364,233,074,969,286,692,667,821,552,166,297,099,703,844,
116,044,470,538,805,114,077,656,259,518,215,594,496,104,690,770,936,443,625,
249,790,082,116,720,162,948,156,660,289,597,022,359,831,506,563,605,048,437,
900,869,383,800,177,847,691,559,644,591,615,185,741,233,908,748,004,429,077,
288,885,508,849,598,105,721,934,253,901,315,314,668,116,879,959,369,579,543,
935,900,639,977,027,267,015,164,679,663,016,215,045,933,993,203,482,302,626,
858,429,760,220,920,918,247,984,123,687,397,047,172,177,471,600,192,220,373,
344,955,587,104,195,277,688,417,193,523,587,032,713,964,738,734,441,107,022,
112,998,789,377,289,594,828,676,344,557,357,201,146,142,796,944,821,312,145,
691,571,264,991,767,569,579,084,001,414,250,349,922,064,931,649,241,667,909,
231,817,875,877,319,256,805,966,384,661,107,219,816,680,406,898,762,162,344,
115,922,288,707,260,980,491,807,189,206,653,765,013,584,064,168,863,888,290,
333,517,581,937,709,777,553,678,649,641,775,951,073,714,079,460,224,174,892,
205,368,451,916,159,199,578,772,196,075,891,654,176,241,411,970,173,894,945,
382,467,162,334,928,816,083,729,179,920,462,993,138,869,527,516,888,664,542,
304,433,265,579,918,009,594,631,671,865,933,708,686,109,002,911,671,506,461,
336,359,242,530,257,565,135,186,981,729,887,285,331,941,943,589,251,389,631,
772,080,822,553,467,456,116,143,576,130,909,404,557,988,521,203,504,223,565,
877,576,534,681,309,046,543,497,508,081,737,803,648,709,249,723,981,815,798,
112,057,517,417,313,004,549,736,463,205,214,436,980,810,964,378,705,236,467,
366,712,321,126,399,113,809,476,585,210,602,633,130,694,522,734,061,263,692,
755,299,908,262,111,340,588,768,533,044,823,883,336,046,794,348,135,719,172,
618,400,257,774,248,378,619,040,517,651,024,704,129,804,065,099,126,494,302,
158,812,015,735,828,051,106,434,503,358,968,616,322,323,076,812,787,979,255,
435,506,069,129,974,978,973,746,267,545,996,254,103,210,277,051,874,601,516,
074,089,013,255,380,458,418,298,878,910,657,815,559,786,553,808,466,914,157,
505,603,819,958,785,938,593,187,981,850,794,629,691,351,359,560,187,746,601,
488,706,288,145,766,174,889,890,788,414,626,677,929,920,529,627,074,384,020,
059,874,193,513,610,422,525,430,132,868,022,275,620,545,789,063,904,693,058,
429,182,200,419,333,768,217,184,483,153,668,821,349,016,369,130,634,608,674,
014,097,695,473,996,787,541,454,814,056,087,878,930,759,029,142,964,134,289,
110,464,538,282,764,515,613,209,664,775,654,410,119,178,524,332,568,367,683,
668,092,381,514,465,400,436,321,063,581,579,896,312,653,542,741,797,753,487,
055,776,580,746,826,460,741,694,882,848,057,436,602,576,245,948,893,322,852,
050,141,622,278,755,779,850,513,769,398,771,961,241,426,145,852,707,859,174,
176,860,202,695,701,853,740,384,000,031,475,544,196,573,167,313,679,172,690,
830,988,953,288,698,626,984,594,344,550,379,043,466,223,594,030,727,702,019,
696,054,541,875,295,844,785,836,788,823,684,587,011,385,654,403,211,491,035,
573,824,673,234,713,430,143,397,941,060,551,017,018,702,488,473,811,863,786,
150,480,598,756,340,140,290,159,316,119,034,401,023,542,678,691,162,994,527,
492,514,021,092,042,836,029,734,572,352,253,028,217,123,132,665,509,024,238,
619,681,847,005,419,614,644,626,392,517,296,761,207,537,879,940,889,873,869,
759,820,858,871,581,027,558,746,040,702,482,870,702,880,340,395,454,149,388,
318,601,938,246,405,436,116,797,375,743,177,977,316,617,118,258,933,143,893,
011,102,626,741,444,024,416,699,180,164,928,800,099,086,133,352,750,419,452,
044,616,250,718,126,844,757,809,478,844,354,142,500,301,183,372,877,023,784,
991,988,978,164,133,966,905,434,589,557,907,054,707,805,805,439,901,558,129,
277,159,957,648,683,252,457,327,363,565,308,113,463,441,832,111,116,063,721,
907,302,565,860,691,992,238,544,967,709,844,127,900,444,709,870,353,736,082,
353,679,237,893,732,951,274,475,264,429,389,773,284,428,255,909,100,703,640,
541,669,476,656,482,063,187,098,874,299,327,348,395,287,547,229,052,967,440,
626,605,165,578,164,445,401,548,573,468,560,230,401,527,231,889,378,723,244,
891,498,470,197,173,914,463,474,510,480,136,662,322,062,306,294,178,529,198,
702,019,226,377,129,545,999,673,546,361,813,094,284,201,160,892,216,568,743,
683,934,444,275,722,866,679,526,652,718,608,815,023,328,212,537,530,302,769,
373,255,166,563,385,522,359,542,655,610,081,485,749,226,224,964,951,590,973,
164,403,901,596,276,937,746,390,844,898,236,089,035,054,559,695,186,252,627,
420,514,713,101,752,315,226,344,873,368,020,067,212,823,571,095,554,444,467,
303,725,419,994,712,074,539,914,118,097,080,074,328,445,619,147,223,527,611,
312,161,572,915,555,605,285,302,737,928,166,460,794,118,719,294,602,712,222,
851,097,069,591,217,964,876,565,441,680,060,217,913,834,371,835,872,562,241,
134,504,867,236,021,163,864,540,662,286,295,770,351,188,246,926,681,120,129,
188,055,870,571,321,438,766,864,989,614,564,483,046,770,391,602,137,036,495,
150,798,014,087,729,806,586,632,056,773,989,400,864,682,873,213,854,591,903,
458,378,698,254,410,835,124,104,987,301,462,278,115,438,212,375,002,379,724,
027,225,688,535,499,555,510,655,206,742,104,805,596,300,164,917,104,128,146,
115,854,376,512,993,214,611,475,192,280,861,958,412,031,334,917,240,419,450,
012,861,489,666,382,578,566,986,026,093,474,455,800,514,586,388,095,710,057,
757,651,349,622,478,790,276,834,308,799,150,305,028,181,111,781,895,175,190,
420,349,106,416,176,446,123,410,179,892,614,708,707,300,583,335,057,946,286,
430,004,814,739,122,359,152,314,606,510,525,106,430,531,798,263,651,922,372,
126,115,803,106,100,236,953,878,652,326,110,300,640,757,389,423,732,048,877,
638,849,409,262,096,252,121,647,742,401,318,172,442,406,734,288,328,225,883,
808,861,030,836,648,076,395,691,825,327,405,335,980,775,915,815,791,746,364,
392,240,798,396,117,798,421,036,908,977,927,837,966,929,991,727,380,868,122,
569,248,557,118,481,906,816,177,163,800,538,864,427,568,394,358,230,879,695,
917,916,565,450,181,360,421,681,022,513,835,814,123,362,076,488,055,914,757,
456,162,715,801,622,364,164,481,676,871,260,961,457,606,331,461,437,029,148,
072,365,011,990,203,571,164,978,932,494,076,634,354,121,518,118,382,725,830,
733,084,995,020,665,335,305,724,930,651,473,410,961,685,874,459,108,303,736,
234,902,633,692,977,732,652,587,761,897,105,616,401,878,358,408,291,529,110,
753,761,089,052,172,273,722,794,405,562,467,886,166,755,382,279,199,921,581,
517,661,315,884,002,691,409,604,789,603,945,085,900,847,580,264,040,174,198,
273,074,158,405,020,192,471,502,279,912,233,277,482,464,710,963,166,143,937,
412,955,020,118,038,443,235,076,927,535,910,224,968,909,520,109,467,093,267,
817,974,872,110,111,254,717,363,462,217,164,244,026,628,836,582,166,888,612,
035,525,742,276,934,726,946,206,838,551,399,991,834,498,545,250,147,161,850,
456,490,314,705,903,573,465,706,384,871,374,151,522,167,551,030,941,235,408,
557,911,924,379,705,339,896,319,461,645,387,113,043,534,077,201,117,171,780,
398,805,371,016,021,521,311,894,457,491,541,692,582,519,539,887,419,332,569,
345,412,917,484,204,574,995,357,414,103,320,867,941,829,291,036,464,292,311,
331,921,129,214,688,832,068,202,646,033,189,170,336,448,359,115,380,017,597,
597,895,993,158,289,226,952,430,881,602,157,321,845,021,933,169,060,255,134,
347,533,702,349,927,838,206,029,403,753,470,860,718,092,879,740,209,034,529,
070,125,027,815,392,135,278,096,169,960,428,095,959,181,107,432,165,037,137,
524,230,743,909,176,530,150,905,611,236,305,411,640,455,875,935,709,431,512,
236,916,168,435,965,212,458,243,477,801,014,627,527,325,981,522,256,236,951,
669,682,602,160,973,878,967,837,528,409,892,047,354,002,064,586,784,801,992,
396,011,676,850,541,555,145,472,201,302,447,916,020,113,360,416,307,491,274,
644,483,639,395,198,569,468,959,771,280,147,174,638,113,092,195,407,105,774,
292,017,104,256,495,546,160,586,596,561,465,524,397,264,534,729,499,095,748,
428,477,461,138,833,178,547,250,597,192,493,474,823,786,750,100,441,534,728,
896,028,307,269,953,733,106,515,708,022,914,900,551,049,840,831,513,509,294,
338,823,366,533,794,722,675,345,552,881,850,526,441,495,654,280,690,331,790,
857,491,303,868,199,785,811,536,055,995,018,826,942,633,705,836,709,487,716,
814,983,166,494,565,367,208,458,051,849,025,981,260,163,457,226,395,494,301,
783,859,568,517,065,306,443,359,594,890,467,960,114,935,897,844,430,685,655,
166,863,486,067,228,191,372,544,408,212,321,495,328,141,693,195,091,111,364,
268,962,812,947,729,814,905,440,992,208,284,989,156,948,660,157,170,992,392,
873,267,132,924,543,242,908,619,087,974,049,516,128,017,907,444,622,338,635,
302,904,595,728,078,770,706,446,878,481,705,359,563,895,055,075,752,223,701,
590,447,185,595,860,101,929,048,363,448,889,734,044,205,515,365,852,723,161,
792,909,751,828,992,079,140,740,147,394,125,478,832,409,849,636,055,045,523,
099,433,307,467,854,163,635,714,582,361,932,066,736,585,515,214,755,222,393,
852,682,980,999,867,006,938,204,066,286,253,915,645,726,416,348,050,261,117,
985,183,172,579,025,442,853,307,221,707,417,915,970,138,131,297,191,580,006,
589,217,943,286,202,300,835,871,703,170,206,433,589,639,787,905,277,822,941,
897,690,622,328,177,579,336,289,051,436,394,427,263,885,921,510,649,611,515,
213,162,115,839,093,371,331,407,685,780,802,214,770,706,443,909,320,995,140,
734,235,499,384,777,687,946,201,861,498,253,611,095,841,261,301,563,824,831,
739,761,722,753,398,818,294,832,344,098,226,109,464,915,493,089,112,075,358,
981,836,716,595,881,820,632,914,324,710,277,918,370,707,985,334,740,355,827,
606,606,867,125,021,460,492,691,040,446,842,790,116,273,939,280,241,546,662,
020,311,501,050,299,299,743,131,716,774,898,804,978,219,929,976,749,195,275,
568,660,092,806,430,178,325,858,488,930,312,507,821,970,988,902,707,551,771,
991,077,426,242,435,559,726,395,987,190,525,980,086,275,001,600,498,679,560,
306,827,449,937,921,688,507,476,061,004,780,437,275,140,318,379,358,072,216,
476,549,499,608,117,356,197,079,468,258,969,897,088,604,759,754,239,492,732,
016,703,240,911,049,511,966,017,348,463,854,343,504,013,561,557,325,710,472,
813,999,362,208,736,462,688,828,632,235,904,786,452,183,810,495,393,528,859,
428,659,514,861,970,799,446,950,109,517,698,492,485,205,490,350,413,235,438,
972,563,966,586,455,904,006,694,153,539,137,399,276,932,431,574,828,923,037,
974,351,400,403,190,226,807,115,725,678,018,667,643,222,677,491,048,282,336,
309,176,445,702,920,873,400,544,112,617,423,836,963,459,761,022,857,138,080,
681,470,781,572,281,307,167,879,229,633,228,645,225,658,233,620,221,464,305,
768,000,919,905,389,333,492,306,611,959,478,790,651,680,167,544,630,957,902,
632,420,572,464,706,887,518,670,786,463,863,887,058,684,150,778,320,412,397,
583,877,054,395,827,821,936,925,168,908,199,728,913,370,828,957,353,076,823,
060,730,190,893,224,035,127,312,904,797,382,489,604,488,583,614,457,267,105,
247,868,810,922,007,235,878,414,076,212,029,227,522,617,445,412,032,484,865,
156,709,642,955,703,606,056,500,145,256,512,508,515,948,611,135,120,563,924,
535,554,919,281,189,580,439,198,203,397,663,594,212,076,742,856,493,028,780,
744,488,929,586,013,206,737,677,918,149,029,762,016,216,010,314,495,473,441,
793,925,998,816,087,239,313,611,314,880,879,891,120,056,795,113,600,897,475,
078,017,792,880,781,050,269,828,353,790,561,448,802,252,474,660,721,709,826,
611,137,457,719,208,518,535,903,300,392,586,553,247,208,112,707,897,457,729,
486,264,745,287,940,273,242,617,023,258,506,446,203,227,153,843,433,481,165,
344,155,768,556,791,644,585,538,923,051,953,821,192,654,403,037,851,958,300,
554,924,627,023,694,607,684,161,494,805,549,590,471,615,510,239,720,380,132,
626,328,237,945,685,180,087,911,352,278,092,463,374,297,142,271,665,472,746,
059,911,044,756,238,063,309,940,213,829,210,114,241,110,044,309,760,563,843,
947,316,746,339,587,020,439,183,563,000,574,003,154,312,186,947,523,739,965,
664,482,126,534,903,656,613,422,472,376,915,816,442,116,058,248,855,226,053,
911,344,878,741,843,019,090,309,958,081,319,541,203,503,851,042,877,067,004,
303,587,223,848,541,415,132,761,134,915,164,863,997,789,987,581,552,620,982,
526,838,928,052,095,562,428,280,663,200,744,758,951,370,331,782,259,246,956,
833,515,266,318,259,059,985,400,594,456,721,466,476,955,178,969,942,167,032,
451,817,267,443,522,208,744,474,006,671,329,329,757,458,886,515,351,073,575,
394,916,578,508,826,264,719,240,204,537,023,501,035,664,947,540,545,282,437,
695,395,141,685,619,795,493,479,788,067,574,711,231,036,113,110,544,602,907,
808,372,002,113,959,197,399,463,120,611,743,284,938,958,580,239,260,596,356,
973,194,412,663,007,790,772,621,369,074,211,152,768,744,208,967,773,288,279,
079,130,366,467,268,228,086,572,620,321,884,736,342,121,901,483,251,325,720,
788,762,609,348,704,566,892,696,077,546,429,186,637,351,435,258,329,211,682,
067,499,604,972,831,054,214,069,569,067,865,037,291,006,573,319,643,109,826,
092,116,910,712,167,577,563,906,528,340,537,344,661,568,689,590,200,771,278,
922,176,334,031,285,459,988,062,195,219,014,524,495,781,974,048,304,692,038,
477,310,002,326,154,757,032,916,894,821,633,732,688,611,337,016,515,932,672,
934,697,475,173,293,777,241,206,676,641,476,558,810,506,786,097,109,698,416,
749,371,015,037,157,175,717,598,739,075,490,357,350,828,917,535,906,069,382,
520,038,351,088,709,455,477,880,692,955,700,230,964,756,358,797,834,236,649,
567,816,954,278,220,159,792,190,108,088,437,783,613,053,897,134,926,237,825,
759,985,763,831,332,042,049,865,986,155,163,548,339,225,651,532,931,343,831,
409,826,410,711,496,031,576,803,443,633,753,157,234,316,547,500,071,019,442,
432,205,849,530,635,077,849,061,499,265,482,409,333,071,108,889,283,725,740,
867,039,976,789,430,420,345,433,413,063,880,495,715,276,236,325,228,119,807,
599,025,911,932,121,275,479,727,315,993,481,783,860,260,548,852,841,592,152,
958,130,081,351,064,953,352,541,807,765,475,159,995,644,127,265,080,555,891,
031,157,811,485,527,283,708,133,342,592,367,588,428,920,445,641,663,732,881,
019,826,514,515,168,640,236,559,998,812,626,768,393,719,753,755,800,781,078,
396,303,990,686,421,968,189,566,818,544,993,034,085,341,670,075,928,485,445,
935,599,070,562,337,056,802,933,364,211,638,876,590,788,389,068,517,034,422,
290,972,172,011,154,023,304,196,906,108,000,697,746,892,949,733,847,294,312,
252,548,921,590,987,778,348,327,536,325,994,327,386,323,546,029,761,121,022,
533,696,094,691,151,141,118,481,142,171,184,545,641,683,895,720,045,725,121,
501,482,453,405,887,620,657,998,307,085,614,678,876,781,141,300,855,471,436,
627,500,209,333,668,062,606,430,082,846,596,313,048,160,436,382,535,111,647,
618,395,063,627,638,512,978,535,179,191,275,509,651,495,547,930,686,862,312,
133,730,624,569,896,531,736,537,852,555,991,200,738,158,351,322,827,749,906,
441,178,846,163,660,092,294,928,485,748,036,731,961,024,290,825,119,916,558,
811,009,466,005,853,974,315,355,602,708,547,850,948,106,047,501,147,957,793,
352,033,281,430,016,076,655,472,753,202,414,417,574,392,181,566,660,499,070,
692,801,286,600,744,463,248,261,282,714,279,714,134,985,456,390,086,488,391,
933,394,066,071,552,723,909,863,451,972,104,414,522,386,480,708,468,667,738,
454,234,705,960,921,783,354,285,053,176,955,429,735,849,612,261,095,123,419,
755,296,721,591,832,920,506,465,171,275,592,302,559,210,290,638,937,297,637,
372,128,673,665,958,690,764,252,704,708,891,345,713,929,473,405,221,141,536,
837,695,485,160,432,959,264,073,299,117,284,364,983,171,105,895,568,442,646,
732,907,576,407,435,165,249,815,793,556,430,039,160,336,331,793,761,483,824,
452,948,926,413,818,152,940,752,525,523,776,432,500,612,987,623,123,914,093,
887,410,453,526,992,146,174,935,719,505,511,871,409,525,075,089,272,767,667,
144,654,415,419,239,311,482,280,706,312,089,443,651,891,866,023,172,111,188,
041,424,641,329,863,536,052,263,735,303,177,773,679,832,402,749,765,879,355,
931,716,202,607,289,468,524,944,943,374,557,299,170,033,765,616,417,304,003,
338,920,131,058,944,015,095,188,529,202,852,575,233,648,029,201,565,247,367,
529,309,835,987,535,837,603,626,891,661,263,806,657,018,542,062,274,403,678,
474,308,797,802,752,300,851,837,395,391,459,634,051,183,732,020,415,034,535,
086,186,158,426,322,274,982,257,702,972,628,016,391,523,851,405,908,381,592,
400,639,097,192,148,527,605,820,050,391,103,974,497,696,688,789,747,806,829,
889,859,090,956,327,572,810,220,055,771,374,732,726,035,057,829,165,809,808,
459,318,856,284,102,620,054,297,341,864,081,202,028,980,190,339,644,783,941,
977,416,607,652,022,032,764,969,929,779,207,119,787,702,591,193,021,180,117,
225,657,842,795,300,879,547,009,576,412,101,758,283,399,980,553,917,890,415,
651,094,606,580,027,056,688,086,832,079,558,354,929,755,350,498,292,397,269,
382,416,066,418,369,245,178,900,531,386,794,996,117,980,712,622,113,229,599,
858,567,945,652,389,180,843,099,601,572,022,088,199,748,684,867,844,297,808,
387,129,626,553,979,272,031,319,705,875,020,548,446,896,102,198,407,390,337,
541,007,924,990,429,886,417,177,768,613,056,439,181,319,666,828,333,245,271,
747,851,557,096,852,844,948,896,939,190,244,725,594,386,513,298,876,844,630,
869,757,131,079,910,083,582,738,009,532,851,758,059,980,583,544,996,207,872,
911,229,863,429,033,499,571,317,548,468,192,998,488,819,072,360,498,819,719,
232,391,912,533,523,168,411,125,090,932,042,441,930,445,224,589,379,801,372,
332,851,708,651,922,801,766,268,209,172,733,559,283,514,596,789,391,866,610,
624,477,210,732,037,392,557,458,175,203,639,575,938,394,011,658,682,906,703,
077,772,459,234,457,957,458,229,767,405,433,784,260,782,550,779,393,303,028,
452,563,922,941,533,779,499,201,126,128,887,649,933,123,686,400,285,843,051,
689,269,383,127,480,771,036,706,901,535,494,927,866,839,069,426,214,068,229,
480,974,966,404,626,636,239,044,704,628,638,694,484,177,697,205,312,018,060,
171,601,481,124,530,275,889,158,113,027,697,763,137,210,098,848,789,893,962,
758,571,260,889,983,681,142,636,344,560,705,527,667,157,207,680,754,909,353,
480,317,838,669,907,109,283,572,863,204,021,927,342,312,843,951,528,299,041,
365,267,009,138,487,767,503,751,671,986,420,741,568,411,381,520,489,041,108,
876,242,644,933,110,451,280,138,098,413,838,597,676,492,443,588,331,215,522,
165,990,024,251,284,612,356,589,350,617,009,872,514,150,433,221,257,036,414,
062,914,273,399,008,302,592,534,491,629,688,074,795,937,070,713,750,814,864,
448,757,052,749,002,854,128,130,956,687,603,748,669,124,159,348,157,911,008,
929,812,579,512,727,268,080,274,277,809,462,588,357,498,941,957,185,756,543,
450,922,785,833,234,198,709,425,480,203,726,050,457,419,134,258,638,177,646,
169,033,592,042,393,371,603,677,309,228,775,914,862,442,472,660,762,877,734,
235,943,658,983,631,956,027,254,722,874,454,651,044,086,199,136,415,860,543,
586,300,427,479,544,220,290,324,961,900,007,267,435,568,187,555,113,722,151,
529,933,372,702,666,675,403,074,075,985,844,270,956,356,832,782,829,445,642,
647,427,029,007,872,755,609,306,268,211,050,716,479,328,336,155,140,874,297,
948,992,044,336,705,230,122,225,461,119,669,930,766,299,968,817,411,873,211,
751,450,792,394,233,202,483,220,504,018,326,364,185,408,297,292,272,505,301,
054,124,247,166,959,430,549,512,004,397,880,692,669,466,450,793,447,738,882,
997,928,327,945,221,603,325,639,512,571,827,456,191,657,682,412,494,408,405,
496,446,625,007,943,460,116,332,877,577,505,947,817,353,306,693,694,055,160,
519,995,353,388,995,742,602,523,406,368,349,381,992,459,763,877,818,056,950,
513,678,638,126,787,850,709,015,582,708,391,410,100,723,842,007,752,701,689,
741,822,560,290,940,547,435,743,673,353,180,439,850,131,140,591,202,944,701,
099,918,355,863,732,198,641,897,071,440,673,388,817,664,646,025,074,122,309,
020,340,150,965,872,444,515,669,294,841,178,369,626,559,352,391,929,594,624,
628,162,118,879,607,755,482,942,325,264,296,319,132,606,902,675,635,621,541,
478,385,502,177,116,454,151,692,366,287,108,680,378,963,274,840,974,064,489,
621,993,972,139,206,441,073,383,217,151,576,882,852,386,230,901,550,866,267,
439,390,539,414,312,569,359,209,697,294,459,047,059,617,301,301,728,986,743,
097,426,326,205,990,120,154,819,932,470,589,280,548,146,742,554,197,831,576,
372,718,867,098,698,685,759,072,261,109,604,637,449,740,075,243,674,098,948,
065,610,782,900,685,589,363,702,933,557,923,576,789,613,556,192,395,763,290,
594,782,900,256,853,402,668,029,135,210,702,284,928,554,257,295,566,471,711,
345,325,961,279,801,619,972,344,279,238,829,555,335,375,334,562,591,138,017,
925,416,871,874,342,820,193,079,914,777,362,538,081,823,945,613,527,001,177,
163,282,280,317,254,259,254,758,046,266,543,017,095,405,285,286,614,673,211,
124,229,836,295,184,221,817,335,403,118,796,947,051,611,480,570,292,162,880,
213,982,451,821,271,075,854,846,628,321,158,001,623,712,979,503,455,684,957,
668,237,442,998,882,375,636,240,266,218,156,273,833,665,026,546,604,800,032,
350,215,545,822,715,654,636,146,699,940,729,588,875,652,063,827,242,815,886,
224,697,882,390,613,454,607,499,345,477,097,842,512,158,988,060,448,924,262,
577,929,143,709,137,807,312,322,624,948,679,659,788,859,326,407,442,166,724,
068,286,872,874,675,672,234,173,678,535,657,353,894,275,867,356,217,233,815,
959,138,295,730,120,637,375,363,687,485,338,777,241,921,964,483,180,166,990,
166,206,990,077,065,067,411,225,406,727,380,433,263,333,509,718,538,816,772,
577,688,460,024,635,319,699,059,454,495,600,173,738,136,271,628,279,987,480,
008,760,864,748,795,195,610,218,107,079,652,261,646,269,725,964,941,981,345,
831,171,210,503,187,136,613,954,750,420,731,794,546,312,091,982,776,790,191,
930,019,610,557,246,571,350,380,519,764,675,949,759,870,830,641,680,330,194,
426,358,023,807,425,068,466,190,332,689,692,400,546,645,316,540,918,952,424,
797,386,146,493,780,106,586,560,134,141,564,466,941,132,802,637,305,571,832,
589,581,494,854,572,455,012,044,680,533,832,150,153,059,796,089,435,508,209,
533,913,271,169,211,183,409,384,566,500,999,326,533,218,422,603,350,758,182,
794,417,365,230,086,087,901,377,053,880,501,161,824,370,441,051,405,271,346,
895,959,502,116,134,769,894,783,771,558,874,344,986,302,318,453,919,736,230,
213,024,845,246,990,262,624,150,509,314,288,352,380,178,148,418,924,846,719,
171,567,070,205,676,861,093,172,470,758,245,565,364,049,820,325,413,217,278,
044,399,334,754,151,011,992,930,026,603,955,058,566,599,979,821,916,128,175,
035,094,286,143,207,670,512,916,306,371,577,143,739,342,380,319,968,659,075,
918,170,578,224,755,602,193,946,924,629,593,207,963,831,085,270,332,717,354,
734,311,094,023,387,555,625,209,887,239,317,814,609,419,813,894,002,555,231,
589,814,512,171,865,954,715,006,640,119,804,611,527,395,127,446,611,287,634,
803,565,166,672,878,772,037,113,368,751,260,041,676,362,550,688,958,914,789,
311,073,196,409,889,915,613,976,989,563,248,910,026,114,049,135,891,010,162,
961,782,313,830,387,662,036,911,830,722,123,869,181,812,642,680,748,254,285,
208,352,233,150,030,845,432,098,875,957,149,689,520,060,623,879,010,213,801,
705,114,366,654,266,858,834,963,608,390,836,287,589,915,688,439,116,923,933,
512,342,301,047,321,333,450,783,789,422,849,179,807,622,008,102,224,860,096,
130,195,582,423,967,535,069,528,692,355,479,521,005,353,708,962,252,416,972,
292,947,139,508,721,251,099,581,234,512,520,210,110,934,595,640,915,609,125,
083,024,580,565,877,346,975,828,315,162,356,710,650,022,739,946,588,328,728,
391,948,731,659,957,455,947,021,132,820,992,710,625,071,681,910,993,041,161,
964,029,911,297,186,689,756,023,006,152,742,228,489,324,522,396,501,515,561,
939,469,008,278,195,405,469,408,551,997,582,371,007,993,746,651,509,452,335,
681,518,165,941,333,580,480,711,757,839,560,103,022,591,350,011,134,345,024,
479,111,365,318,656,656,789,230,724,776,772,782,828,787,424,936,913,763,888,
447,236,947,689,744,331,489,718,566,810,484,739,347,355,887,471,812,398,040,
666,506,391,915,938,495,125,340,415,027,019,240,288,992,055,657,123,468,669,
019,817,229,351,370,459,275,788,322,044,186,489,953,591,306,338,469,718,857,
165,493,233,642,221,717,252,113,644,506,207,357,933,400,653,147,207,939,609,
017,487,229,558,560,501,620,338,243,231,223,421,034,594,104,072,228,062,774,
477,867,900,098,411,373,401,737,457,135,733,048,538,159,054,704,398,844,701,
254,900,865,781,269,371,169,252,331,140,517,587,632,657,712,944,496,067,455,
882,964,526,582,934,756,649,553,875,626,844,447,516,390,886,454,911,734,185,
878,486,813,538,155,522,997,301,342,107,868,705,515,003,576,212,048,733,940,
237,940,284,419,550,013,016,934,557,362,022,566,511,655,742,036,128,459,270,
618,398,104,745,440,919,916,366,546,162,313,412,824,918,861,933,421,881,717,
031,286,121,342,356,456,241,181,051,168,321,203,311,102,244,697,419,737,986,
616,083,504,447,308,870,574,512,058,620,278,681,794,796,488,357,855,435,544,
081,465,997,004,536,899,695,578,050,177,794,474,948,131,734,892,325,737,556,
210,399,909,679,180,570,295,500,059,374,448,881,856,292,332,390,317,003,448,
297,329,376,553,529,124,399,908,709,079,510,464,472,481,434,654,919,231,233,
304,364,760,749,826,169,503,338,894,284,581,226,038,896,058,012,742,994,138,
493,516,868,726,671,924,582,557,325,837,306,969,643,175,161,250,451,714,289,
890,388,601,459,159,567,521,219,491,911,209,964,074,719,692,070,331,370,268,
867,377,508,099,680,243,680,646,187,547,706,115,439,099,779,584,788,293,271,
730,598,828,720,110,265,322,632,045,451,611,979,284,796,066,491,956,768,708,
086,108,966,209,833,391,341,694,737,535,158,965,829,583,188,481,353,424,929,
108,162,126,802,965,025,692,376,321,245,778,875,057,990,777,037,313,729,099,
233,325,803,112,508,839,096,762,630,733,131,614,076,881,081,558,744,189,004,
077,262,817,239,749,755,632,735,858,866,649,089,242,278,164,214,662,573,862,
818,061,771,222,096,056,446,634,168,579,756,374,936,695,619,895,601,624,554,
949,024,961,671,574,189,381,780,896,003,329,250,025,544,615,427,422,165,873,
933,167,908,126,378,772,017,249,600,697,970,123,353,822,213,977,127,537,815,
987,410,727,984,456,407,059,711,223,812,141,447,894,971,969,055,658,606,163,
260,556,009,233,393,793,715,305,823,102,889,479,153,559,199,400,748,696,755,
514,085,938,008,433,081,241,055,173,437,180,887,432,244,626,394,958,690,149,
472,431,474,608,866,604,784,576,972,440,209,377,959,688,959,255,722,115,885,
944,671,832,181,321,102,916,594,470,590,120,197,855,963,812,886,272,368,796,
005,591,592,108,608,617,286,763,704,223,380,382,720,179,374,030,978,478,294,
614,287,134,909,394,407,290,305,465,482,852,942,160,325,485,630,078,916,596,
621,899,320,357,861,308,452,753,245,772,744,428,673,998,306,348,906,335,312,
855,195,941,421,011,871,133,943,280,843,243,992,890,810,262,347,214,649,618,
464,428,752,923,094,086,442,710,520,428,927,853,127,024,445,037,690,818,933,
423,922,297,221,299,129,274,042,902,615,460,330,928,819,493,152,862,605,949,
291,658,385,506,847,536,500,999,118,062,357,417,688,274,548,453,752,290,869,
610,367,733,205,078,799,889,180,040,408,853,013,040,003,191,149,236,811,757,
790,666,374,885,804,557,951,444,782,196,680,693,235,486,173,492,667,059,818,
121,400,731,404,581,665,681,515,840,849,687,608,089,669,644,030,408,557,581,
562,852,833,993,992,223,617,439,349,097,158,707,760,033,009,298,715,526,898,
409,601,488,602,345,603,335,269,274,456,478,901,039,076,990,994,830,303,098,
510,954,278,990,754,207,456,647,374,571,959,832,592,020,389,847,404,297,653,
065,067,633,200,371,651,744,125,583,971,001,794,231,094,659,901,651,098,813,
017,059,175,578,561,307,983,834,731,188,184,630,621,041,096,297,130,305,149,
688,820,548,758,823,056,048,099,380,037,843,632,045,518,059,001,819,172,531,
848,531,315,201,563,914,569,160,083,127,999,028,810,565,921,297,410,905,448,
683,639,329,602,230,983,423,285,426,500,386,222,740,062,319,416,634,770,215,
386,022,333,244,940,125,396,197,318,295,474,953,154,082,249,697,723,056,004,
195,459,592,270,050,763,678,886,024,284,519,031,833,750,351,390,623,685,709,
619,911,174,128,508,105,285,408,375,579,510,368,086,762,602,507,903,649,598,
960,539,026,857,431,209,114,000,303,128,193,027,180,146,834,968,686,422,065,
426,839,089,598,411,534,992,359,018,601,442,259,341,559,099,913,853,298,789,
549,107,964,807,493,658,757,668,238,777,043,822,212,019,534,906,638,531,508,
720,292,655,584,377,580,640,973,603,524,243,781,383,852,683,687,723,523,950,
439,326,206,980,994,828,397,356,229,862,142,612,458,624,921,221,363,541,685,
015,055,558,064,342,514,729,781,500,649,644,501,229,577,745,497,773,149,334,
945,990,764,158,503,413,234,211,816,161,049,151,514,150,897,969,924,230,931,
676,851,395,045,205,487,943,554,310,664,420,325,713,106,380,074,434,723,346,
702,220,644,131,153,062,250,927,704,947,438,059,398,741,318,413,580,619,462,
323,112,721,342,228,027,139,013,840,297,322,228,298,050,500,647,061,251,023,
791,604,335,581,937,833,748,318,377,003,581,359,513,046,581,313,971,766,245,
061,588,507,363,107,667,044,360,733,889,247,326,140,496,288,773,143,044,113,
461,555,703,600,628,584,750,529,375,645,919,554,424,116,654,333,095,947,094,
635,456,029,912,638,350,585,077,776,670,963,860,247,057,847,015,797,405,380,
253,248,149,850,161,963,642,641,365,992,496,661,002,039,650,044,001,715,841,
685,580,983,984,493,166,653,702,985,997,407,759,883,825,786,629,581,978,042,
511,672,387,326,691,202,282,036,751,920,683,223,661,334,520,133,890,536,518,
281,175,744,083,179,483,868,456,362,447,020,881,131,821,728,392,269,182,483,
582,117,518,048,448,668,586,248,644,927,705,094,022,084,210,932,351,781,220,
919,088,029,577,270,615,807,545,866,151,047,652,812,842,136,111,883,556,879,
737,674,158,455,115,845,568,489,780,863,026,364,104,925,259,607,400,420,919,
624,186,462,044,152,351,132,693,310,485,044,740,909,293,942,761,712,752,536,
377,061,713,482,073,053,127,914,012,935,397,894,775,540,782,158,496,695,539,
492,923,785,571,692,869,343,032,382,164,828,671,284,714,375,093,496,018,006,
806,109,088,446,627,977,690,567,468,534,874,231,736,698,255,249,224,495,741,
450,601,585,835,832,930,558,235,770,507,465,892,899,812,220,375,551,841,967,
039,550,055,087,860,595,639,687,205,229,348,874,133,802,737,122,181,792,115,
554,086,910,938,499,903,372,060,951,882,188,194,048,428,324,506,451,021,262,
854,711,362,023,046,027,527,137,756,475,299,030,534,811,221,376,275,825,546,
522,024,200,604,022,999,758,695,629,761,066,751,977,174,078,355,473,088,314,
425,659,693,485,103,919,429,956,608,955,055,455,842,653,134,799,136,025,800,
986,866,214,976,412,127,329,535,290,364,113,930,145,204,927,835,589,947,661,
965,795,184,416,754,827,030,207,842,532,457,185,331,548,309,400,541,226,402,
619,317,802,630,759,751,974,573,150,986,116,047,828,288,435,355,822,254,515,
435,796,468,621,817,743,545,991,081,854,572,846,205,230,048,866,126,208,071,
283,969,736,759,815,412,255,011,956,245,997,804,809,911,595,538,822,712,602,
002,233,516,132,244,561,089,645,567,041,700,327,420,166,631,630,274,995,600,
168,001,062,947,875,779,097,331,961,809,796,479,744,276,740,601,497,583,283,
595,637,082,574,414,117,117,907,825,559,061,928,394,041,238,322,875,391,806,
301,344,829,621,542,531,574,870,609,285,446,547,528,245,640,953,109,791,464,
573,762,978,782,399,044,338,535,502,802,574,749,908,212,198,362,688,245,656,
889,594,472,438,007,869,189,616,275,301,392,176,885,886,445,032,503,115,768,
647,248,229,390,846,663,696,268,367,018,530,463,857,273,183,964,343,065,111,
981,483,600,428,235,333,535,987,762,705,552,091,829,587,826,336,040,331,356,
526,647,621,309,683,250,551,424,088,776,403,373,748,200,858,124,548,960,434,
081,888,696,274,796,470,522,973,764,000,059,176,504,260,470,181,025,768,137,
253,531,527,627,593,104,155,542,360,957,716,016,506,074,543,264,046,875,705,
253,142,947,991,324,113,388,037,397,828,198,419,369,501,750,463,605,060,608,
503,796,551,626,201,952,748,337,307,434,011,696,421,585,924,518,040,394,589,
446,115,243,592,781,192,102,359,506,644,260,201,370,369,432,019,476,011,659,
154,617,610,097,843,490,411,966,187,615,401,520,288,567,250,511,144,984,371,
903,101,358,938,977,829,345,801,283,034,144,076,387,474,896,947,982,852,048,
648,351,384,832,795,012,976,603,034,937,031,660,720,571,954,311,551,444,819,
252,201,404,506,597,097,225,025,106,996,961,841,367,372,756,531,330,548,318,
898,232,872,744,773,616,383,475,470,290,902,341,799,685,187,653,354,634,507,
268,085,672,664,080,523,422,632,410,251,910,618,408,633,357,349,006,386,595,
496,288,463,390,366,111,887,738,889,921,427,510,423,330,550,414,285,250,399,
293,180,184,145,767,691,669,903,197,012,622,607,550,787,921,201,128,813,231,
395,857,841,730,833,114,684,160,775,253,738,558,971,328,887,819,026,402,266,
018,715,387,802,551,133,182,692,806,957,284,786,151,122,155,290,824,989,165,
299,843,761,556,501,869,596,631,326,032,555,512,309,357,260,701,492,460,991,
200,855,295,951,127,653,516,471,670,543,832,104,019,200,376,198,887,699,735,
537,936,557,967,752,401,947,033,694,215,008,364,075,623,036,133,383,134,899,
757,460,521,198,648,874,072,734,299,616,358,692,753,437,818,720,453,809,091,
840,530,304,936,969,219,774,795,523,533,030,061,362,393,315,571,721,606,765,
998,735,037,186,758,975,499,974,236,939,243,163,974,348,328,930,201,853,623,
044,082,417,076,357,257,103,132,084,651,668,450,306,676,752,279,251,704,327,
207,884,791,043,230,503,100,712,258,093,449,757,520,474,463,271,800,969,072,
134,681,580,790,882,051,847,465,811,074,727,050,525,531,125,909,106,097,965,
683,247,386,903,277,633,851,274,434,331,942,746,245,941,247,813,863,603,280,
634,283,708,915,990,614,822,827,729,310,777,935,176,666,869,088,203,554,871,
706,287,016,949,754,497,819,484,591,827,670,394,053,739,727,122,906,076,953,
315,672,466,487,705,699,602,732,402,768,916,526,708,760,076,012,981,815,309,
320,243,317,350,389,572,857,127,096,626,196,903,180,385,228,831,402,211,823,
253,763,563,822,374,830,252,680,907,084,002,714,662,346,385,405,747,005,042,
992,282,570,799,796,803,349,502,368,870,561,735,668,095,213,179,514,221,503,
822,892,193,029,866,611,835,181,891,917,017,354,173,952,641,128,811,089,972,
536,172,876,031,501,216,184,515,492,118,986,479,730,443,868,760,466,643,374,
373,329,368,713,818,788,000,883,871,448,142,037,708,101,111,544,495,888,967,
544,230,109,867,865,327,453,216,892,502,854,296,375,662,335,824,349,792,135,
373,847,652,721,659,465,843,258,694,356,566,532,798,706,112,672,274,564,612,
799,075,624,005,405,895,672,065,911,511,294,512,446,546,030,303,560,238,101,
019,947,247,036,452,901,158,053,835,718,175,161,545,907,785,371,664,425,676,
740,624,179,115,109,475,540,219,823,772,502,673,743,644,740,211,913,752,736,
697,964,501,307,165,764,497,210,600,953,047,517,267,540,577,463,789,945,999,
623,577,603,705,063,369,644,844,297,103,906,645,271,801,407,009,273,280,563,
828,799,152,532,527,782,603,289,364,379,003,202,002,682,775,774,751,967,182,
172,791,718,582,197,803,475,599,507,435,556,673,738,422,023,381,870,313,767,
867,656,223,169,285,046,116,371,922,902,138,056,857,676,526,629,836,613,196,
580,474,015,383,022,822,952,187,767,928,674,850,087,046,689,196,026,746,740,
273,380,095,744,465,564,833,539,816,817,311,269,453,180,417,954,236,881,311,
330,229,707,895,861,129,219,940,056,437,554,793,127,805,185,052,490,018,711,
642,362,645,617,130,428,283,213,178,967,003,910,505,346,669,106,325,320,055,
959,763,735,848,438,062,431,562,065,521,595,584,529,777,992,979,483,611,304,
436,593,569,075,255,709,379,318,632,166,974,134,500,430,340,685,811,971,441,
407,084,992,382,467,132,072,991,990,720,272,467,545,231,167,786,962,161,361,
539,840,785,658,585,412,045,966,394,178,344,817,834,028,461,631,829,786,381,
884,137,663,708,335,025,645,315,149,571,241,753,923,309,111,662,687,002,058,
896,351,530,067,399,288,509,910,178,248,519,828,982,046,069,961,857,664,149,
171,068,181,800,249,878,256,221,285,883,030,422,474,870,397,715,173,171,437,
848,453,438,695,592,938,746,035,739,674,027,420,077,680,625,693,955,594,126,
181,304,656,301,623,342,237,656,314,225,827,765,395,907,619,821,567,840,578,
219,783,757,734,830,955,166,383,933,170,344,569,480,131,229,086,495,144,222,
304,283,582,434,658,148,528,460,347,664,058,252,724,968,542,753,746,848,858,
987,100,798,885,370,093,388,882,369,772,839,199,892,898,544,177,887,519,737,
406,791,853,581,343,362,577,617,921,370,204,219,543,449,183,748,449,140,143,
842,880,608,460,669,147,224,106,886,574,559,057,329,212,388,591,929,002,520,
157,299,873,634,477,025,898,461,356,708,663,494,635,133,227,080,949,209,746,
791,582,915,236,134,801,079,525,567,413,149,523,780,370,989,612,268,855,943,
804,535,560,757,114,658,534,894,302,411,573,129,194,386,354,589,158,157,087,
142,599,455,450,033,445,953,304,914,662,838,975,449,809,775,220,658,951,058,
702,855,022,186,126,318,780,245,627,445,053,539,434,423,892,242,802,629,194,
181,553,843,906,814,562,954,344,184,130,926,661,625,503,495,549,065,015,411,
203,556,753,799,338,065,338,627,070,886,433,041,392,459,630,432,515,681,524,
891,930,182,679,230,876,622,387,892,352,974,894,942,859,792,739,141,221,519,
801,726,978,322,590,778,320,719,731,091,486,933,914,320,888,053,826,927,391,
005,566,399,405,050,423,516,916,546,501,453,654,030,928,854,918,974,978,843,
969,244,737,762,454,627,534,419,835,640,653,208,328,602,514,002,891,959,735,
853,970,190,449,251,905,732,340,515,238,570,655,985,517,722,329,446,702,444,
193,521,097,644,335,534,175,452,516,419,461,044,449,862,335,750,532,664,125,
466,979,405,898,586,368,277,230,947,207,415,311,275,819,145,400,714,998,469,
516,599,064,349,946,193,241,542,363,257,444,038,725,588,019,068,814,784,848,
455,867,542,001,906,319,012,136,611,921,421,128,512,720,120,107,260,242,162,
701,024,478,801,832,269,537,368,782,804,324,138,703,017,922,367,359,572,514,
816,808,534,869,840,030,245,560,290,236,680,165,050,515,884,146,714,414,943,
590,967,326,906,714,516,674,559,996,246,770,906,423,676,455,108,841,088,980,
432,718,508,578,957,160,456,231,324,023,255,523,371,249,463,679,375,005,826,
283,681,691,338,767,658,558,689,956,216,154,761,141,872,293,425,270,327,423,
980,898,286,857,077,312,314,784,306,794,930,657,723,942,938,619,829,114,956,
856,772,865,501,976,539,081,866,113,958,846,345,844,856,172,883,465,051,656,
461,435,457,215,263,685,104,935,960,924,443,359,772,139,306,410,398,100,667,
575,846,230,221,060,170,633,362,041,176,098,860,578,577,503,989,016,486,978,
300,484,889,494,193,328,582,490,166,919,590,582,530,832,141,417,924,431,356,
364,738,967,170,930,609,857,395,434,225,860,925,965,426,838,653,772,710,104,
572,724,882,456,568,941,149,964,060,485,969,584,825,036,964,643,737,908,315,
249,302,423,446,993,142,121,782,521,786,513,674,380,958,031,100,484,719,321,
265,582,304,086,828,883,222,824,009,494,317,425,322,948,270,305,993,045,807,
388,677,012,572,246,879,331,044,488,914,944,664,508,857,060,792,668,006,093,
277,718,371,296,332,061,162,253,937,565,724,378,671,897,420,739,197,630,515,
389,642,334,916,266,017,674,640,971,562,772,874,525,637,877,399,431,954,023,
637,262,484,318,494,230,585,022,817,083,108,270,486,976,999,584,783,788,691,
778,832,612,194,239,503,357,242,016,450,435,713,001,687,059,645,761,648,868,
078,456,517,087,638,803,090,835,523,476,240,151,154,541,056,689,301,937,876,
585,353,053,608,538,778,510,790,432,539,388,472,496,684,793,588,088,103,675,
584,086,719,792,588,844,340,288,563,672,131,884,195,869,769,227,489,822,346,
478,880,028,855,305,959,393,811,953,507,214,577,293,146,895,131,631,458,223,
468,858,255,308,877,065,605,416,646,852,603,887,837,318,460,477,728,117,502,
541,176,197,428,217,748,722,170,950,980,162,474,815,278,977,553,759,474,124,
953,469,591,770,591,592,597,058,629,077,259,212,927,859,546,470,697,267,133,
828,214,965,028,654,890,109,691,077,036,969,363,828,950,902,542,249,604,341,
383,702,426,987,913,467,769,549,184,464,424,476,660,211,140,867,373,552,305,
336,187,222,247,967,980,591,811,166,358,970,042,300,347,862,668,428,916,127,
226,471,804,796,457,972,242,277,270,568,355,561,873,921,235,637,425,679,193,
796,412,733,390,371,717,979,706,644,326,116,474,408,653,156,065,974,494,972,
353,927,238,791,061,915,571,690,263,665,478,293,247,542,441,816,286,998,867,
503,005,323,592,638,365,830,224,494,762,308,778,335,185,476,415,747,330,008,
736,408,289,286,701,179,912,725,450,121,548,487,884,567,981,853,136,366,484,
406,067,294,261,505,288,671,836,238,701,338,105,615,930,142,344,309,711,981,
412,086,873,752,003,617,515,131,131,421,590,033,162,702,595,713,100,041,432,
659,348,151,784,133,323,690,851,888,303,454,265,709,835,164,307,705,482,665,
047,546,890,441,506,936,446,256,415,988,396,514,764,659,871,082,399,523,868,
079,073,264,898,774,146,253,825,275,054,022,696,661,428,674,598,366,949,731,
819,645,731,636,964,578,291,824,767,739,832,413,928,641,378,433,214,060,655,
656,160,919,456,529,483,062,844,495,908,934,278,988,309,276,704,448,378,367,
021,242,520,196,768,626,670,167,893,561,966,712,125,238,778,101,757,130,457,
093,311,236,535,419,178,505,238,524,769,618,830,688,945,419,944,744,828,125,
776,538,179,837,415,875,979,959,468,055,038,980,365,631,078,918,267,510,004,
408,360,322,368,944,022,058,107,727,445,995,645,234,592,624,801,474,422,697,
072,781,230,128,451,905,808,383,657,667,708,846,729,568,583,797,681,309,958,
621,864,040,098,077,937,343,028,691,001,138,816,988,516,254,188,574,727,920,
859,814,499,888,301,166,291,759,941,641,689,364,651,258,043,078,065,417,791,
399,390,619,486,995,086,733,464,678,815,730,233,725,037,640,690,039,284,194,
799,106,581,544,951,279,720,065,738,650,342,272,390,673,062,557,092,411,034,
355,070,377,303,171,633,692,336,966,652,008,424,723,093,449,883,699,664,582,
354,490,777,375,041,103,853,127,746,568,780,877,610,720,731,276,060,448,548,
407,027,326,703,046,279,431,350,951,668,279,192,251,987,779,918,598,420,295,
263,515,321,832,514,506,033,399,511,932,218,737,185,710,125,591,981,469,174,
711,680,687,211,183,803,085,966,044,790,227,683,738,076,399,233,475,302,237,
264,880,180,159,105,715,857,258,901,561,855,241,896,841,540,292,417,793,672,
750,404,470,635,136,355,992,288,783,385,045,029,074,686,546,619,054,331,726,
874,146,500,443,913,920,610,464,432,133,953,057,987,845,172,607,724,180,950,
376,537,584,174,035,837,286,088,105,284,921,382,301,715,035,349,743,065,142,
181,628,256,992,955,969,235,463,288,625,531,154,875,886,171,087,760,873,350,
612,349,121,819,408,642,208,784,097,072,194,641,555,830,373,725,012,541,967,
415,441,267,145,644,690,396,457,667,061,154,277,508,869,683,525,663,131,586,
570,094,289,998,517,409,802,476,574,700,411,610,867,343,334,244,131,271,722,
980,020,791,373,745,068,601,516,377,769,143,662,637,592,129,234,388,997,077,
661,490,493,952,683,023,173,702,029,536,671,132,614,753,221,946,433,811,856,
355,707,194,237,592,659,396,742,707,712,984,386,365,730,380,347,068,735,188,
409,028,177,902,590,447,073,058,184,652,548,752,365,944,255,793,524,492,382,
734,280,369,356,212,672,029,560,287,182,280,069,525,098,352,141,166,968,414,
347,151,638,052,447,181,983,755,072,494,909,742,341,947,263,419,361,224,060,
577,891,172,639,431,756,233,679,889,159,057,775,044,586,419,392,068,763,993,
024,781,137,215,606,552,785,573,616,825,139,937,815,248,098,612,377,009,349,
237,915,296,738,005,094,549,196,045,090,655,161,894,156,426,696,144,077,798,
706,539,604,451,737,623,219,217,786,647,195,501,908,192,369,632,973,203,598,
270,146,266,934,100,723,714,799,029,821,942,089,145,872,436,175,895,959,463,
675,374,516,185,939,406,413,057,797,918,566,906,640,036,666,931,620,309,026,
528,313,194,207,798,823,228,700,111,982,557,766,058,693,705,768,646,956,596,
341,686,922,554,908,689,439,214,980,693,098,845,601,356,912,362,763,200,321,
293,634,149,646,567,228,126,761,727,557,467,814,473,233,783,572,359,802,228,
114,896,479,888,645,521,779,636,701,071,682,373,910,161,959,368,080,768,157,
701,109,127,222,132,283,437,992,132,669,628,279,735,164,873,460,814,923,189,
828,199,825,085,594,630,181,503,517,880,911,578,222,000,070,886,284,064,751,
958,487,580,277,032,624,533,295,769,444,926,702,372,944,982,271,930,182,459,
107,647,578,127,696,740,957,553,833,298,375,370,018,583,689,321,900,548,221,
247,613,095,560,147,260,643,340,723,571,957,224,845,329,745,686,505,524,461,
612,330,064,642,531,728,793,448,703,721,727,416,398,335,240,034,854,517,968,
111,237,960,037,812,330,820,891,071,061,388,432,741,866,497,898,294,188,782,
318,471,316,634,981,006,480,781,287,275,362,825,731,976,150,121,494,902,928,
135,604,064,446,076,390,741,571,537,775,436,249,403,589,537,013,365,806,300,
924,314,932,644,911,847,038,248,193,585,765,989,114,308,256,064,164,532,442,
545,115,490,746,637,936,671,891,425,744,051,484,501,716,866,576,348,054,464,
682,938,907,526,492,003,433,259,382,312,590,552,809,110,630,132,220,330,293,
156,688,973,860,977,174,666,527,158,403,926,650,218,587,321,244,528,012,013,
145,561,029,828,535,590,144,442,838,904,340,177,205,895,549,777,360,722,028,
338,345,447,299,367,978,051,616,169,320,283,561,942,584,305,726,270,224,421,
650,587,261,830,389,841,156,985,772,278,834,490,776,894,488,703,449,857,352,
657,488,799,979,677,047,257,816,066,906,640,703,441,056,119,783,208,883,564,
866,787,672,354,736,119,566,824,527,590,263,413,684,857,350,984,423,373,464,
225,359,983,841,861,153,885,583,301,142,205,082,073,850,195,045,415,834,258,
638,049,521,408,773,760,722,583,420,363,537,671,880,646,997,214,270,325,975,
334,673,788,328,670,913,293,705,005,465,512,824,742,706,655,386,305,885,966,
492,731,448,339,075,958,347,877,828,994,787,052,715,673,590,508,788,326,464,
066,229,086,086,813,922,977,821,478,616,606,681,101,526,172,531,673,153,911,
509,917,651,462,427,115,024,863,147,078,449,056,698,182,265,476,540,343,028,
995,771,463,025,623,605,210,371,922,374,301,352,125,192,977,090,304,716,252,
525,928,917,808,359,437,757,067,809,369,530,949,289,562,997,027,064,333,688,
263,941,315,239,191,031,612,549,607,619,114,628,009,804,867,467,841,676,181,
494,850,211,950,819,283,621,585,612,972,286,410,864,728,994,751,886,500,404,
200,233,569,646,140,408,578,892,322,944,080,640,575,006,720,497,320,145,099,
895,804,724,977,621,683,174,820,733,501,780,975,896,104,901,826,275,841,108,
061,757,066,864,846,134,130,001,570,106,352,772,939,182,134,392,304,061,043,
742,726,717,064,695,668,503,705,340,178,261,440,820,020,013,313,042,613,608,
953,049,598,327,753,923,115,446,916,467,601,140,964,061,489,830,555,942,575,
436,185,674,317,877,930,253,786,448,931,920,683,669,237,160,807,470,076,290,
064,160,111,219,082,659,017,082,363,475,972,783,680,191,014,723,962,316,131,
135,603,672,463,952,033,257,181,393,745,209,513,145,858,432,835,068,188,245,
189,103,594,502,093,782,866,537,170,463,525,231,537,428,209,209,096,323,036,
928,563,540,027,832,826,672,947,694,888,215,083,339,543,183,175,110,605,868,
697,070,951,130,378,956,596,214,024,140,148,691,272,174,610,012,176,028,807,
606,881,217,296,662,034,266,628,969,256,086,456,520,166,457,186,964,133,089,
941,508,014,804,202,809,119,491,675,267,393,572,551,955,661,163,116,791,096,
933,827,548,529,073,681,778,891,998,628,752,476,292,447,506,112,955,446,341,
134,702,732,168,411,478,682,026,593,376,336,705,864,747,334,956,114,322,738,
839,506,256,074,683,495,890,478,690,592,187,149,551,732,280,210,120,709,939,
134,577,863,580,426,143,568,400,519,191,428,138,957,353,522,712,424,550,736,
870,845,124,848,489,242,521,532,070,788,922,518,919,805,415,253,422,793,548,
802,335,742,428,884,807,546,800,872,846,112,097,507,358,804,609,332,731,592,
328,786,155,428,049,397,071,076,365,157,440,982,774,681,045,597,150,158,369,
748,926,906,599,476,404,885,593,843,871,865,454,547,967,232,992,526,138,424,
950,436,861,290,384,227,133,555,049,669,399,118,268,846,970,294,979,209,775,
254,475,185,353,403,642,363,448,749,259,160,708,739,352,464,257,099,517,959,
418,934,573,297,373,322,947,832,398,744,737,534,090,611,699,556,129,458,463,
471,198,721,263,643,693,679,092,063,538,155,844,438,782,015,674,081,939,445,
570,032,608,072,405,642,157,510,908,342,022,889,678,922,076,882,245,295,094,
969,768,871,512,074,396,365,188,231,380,671,242,266,575,035,073,608,062,517,
101,630,793,713,454,290,590,799,957,728,547,882,025,403,236,611,483,324,392,
042,894,169,448,242,947,236,063,818,222,606,814,238,677,663,208,303,492,036,
108,103,247,507,268,530,823,652,754,143,061,464,104,841,228,204,792,521,307,
150,658,254,750,551,428,837,397,757,732,413,457,238,094,522,720,556,106,075,
218,170,853,894,415,104,551,757,468,484,016,280,816,909,198,840,999,432,672,
056,443,012,907,136,278,836,215,960,553,583,392,556,347,112,285,216,396,097,
257,657,417,472,788,609,397,025,857,011,338,594,177,297,138,711,342,879,565,
354,068,539,488,420,301,258,101,667,107,173,497,423,877,935,438,402,957,634,
641,808,248,530,632,125,558,612,597,932,288,999,281,166,445,756,173,686,820,
778,325,222,077,384,980,963,087,210,837,433,118,560,652,692,383,747,811,606,
198,467,501,909,584,712,649,418,010,284,641,880,155,103,268,637,721,662,069,
325,969,466,861,435,300,758,826,372,402,828,661,161,847,539,664,492,158,890,
684,871,120,308,992,929,344,994,673,128,796,775,647,639,076,396,057,685,699,
690,931,688,549,967,118,789,159,552,729,261,875,613,483,135,370,034,261,921,
207,056,928,291,446,181,808,133,228,107,297,932,809,923,923,473,537,201,648,
231,574,115,970,649,083,459,952,285,992,792,952,415,468,701,189,837,196,381,
264,358,796,379,771,050,546,370,869,608,595,341,460,827,888,775,570,390,340,
429,866,152,653,645,375,299,179,212,092,742,866,027,208,190,073,027,405,549,
965,423,053,461,668,362,718,982,971,733,587,084,218,813,670,291,544,459,165,
971,301,088,886,940,494,564,016,470,784,957,940,492,742,667,328,597,900,103,
831,655,992,449,509,052,812,303,147,022,640,785,941,466,185,214,031,663,740,
657,839,075,691,477,651,320,420,152,321,455,023,567,828,768,659,848,820,036,
236,587,915,494,219,768,346,056,815,115,283,299,650,181,519,426,781,368,482,
093,270,911,565,745,021,561,397,047,895,609,484,442,937,433,011,803,137,570,
637,655,362,673,922,451,463,959,676,922,774,542,823,348,984,651,164,801,777,
493,943,341,218,840,846,237,291,596,850,385,770,655,593,333,053,327,968,830,
159,233,707,562,588,501,126,522,895,362,470,717,054,861,178,260,545,238,395,
502,895,659,308,201,564,624,133,631,603,500,096,648,709,148,568,997,808,359,
594,575,244,930,808,581,439,598,785,335,648,518,678,564,581,228,605,771,251,
915,153,759,617,735,584,684,022,538,051,239,085,355,668,103,613,331,270,015,
086,412,771,835,799,945,511,326,256,378,008,418,641,754,666,162,986,046,408,
987,191,546,662,733,269,190,924,692,577,971,710,636,406,309,355,891,944,756,
060,969,750,619,808,642,095,696,972,833,458,902,553,973,195,948,314,058,864,
387,459,316,248,720,102,650,811,292,152,276,696,682,374,126,897,880,437,890,
290,999,222,934,692,349,432,641,856,683,069,008,849,625,494,507,331,165,106,
343,352,963,923,881,815,993,058,435,118,550,191,274,344,013,232,208,174,532,
924,409,979,190,207,533,386,164,182,421,481,253,636,662,320,979,572,826,761,
927,837,694,923,691,873,316,597,557,995,127,908,253,882,096,433,802,727,582,
691,278,346,905,416,613,220,369,690,123,056,909,005,248,366,864,457,035,842,
791,013,734,722,647,041,764,696,082,029,969,685,801,137,655,745,888,093,724,
628,938,684,774,927,259,278,455,879,253,099,475,632,977,995,853,838,371,034,
800,863,320,009,584,471,022,202,706,933,522,799,989,825,911,997,700,968,306,
464,929,488,183,884,284,120,995,159,923,038,508,260,418,787,403,196,732,614,
238,294,399,396,028,173,823,330,984,012,315,479,503,356,731,144,744,658,235,
978,858,438,867,837,870,855,109,445,106,401,326,148,843,552,944,133,886,094,
737,469,900,293,608,808,996,553,271,307,588,261,254,307,993,350,795,831,690,
685,283,295,616,348,168,567,169,592,309,347,177,469,934,314,707,389,561,516,
262,185,901,328,949,181,718,849,060,242,932,115,496,596,632,302,376,063,593,
586,057,886,346,364,402,216,356,772,481,666,230,344,788,781,812,896,118,707,
351,763,404,847,284,702,518,863,787,129,466,115,187,100,413,360,549,404,180,
786,791,905,543,555,849,088,954,307,105,077,846,109,337,814,894,607,340,815,
032,641,310,547,883,647,096,092,564,846,836,052,636,102,222,474,913,842,325,
878,376,104,142,723,019,977,131,311,347,515,727,838,831,055,466,787,111,713,
153,017,210,584,472,492,346,324,590,386,914,744,029,970,068,478,575,543,725,
893,838,527,092,491,932,677,357,204,448,075,679,273,285,855,260,844,259,311,
774,076,791,156,465,094,605,358,593,563,149,639,498,845,010,010,444,506,132,
790,575,072,669,478,008,583,314,128,059,889,600,356,661,119,475,885,621,553,
831,612,462,816,111,941,940,964,863,170,099,153,007,916,030,064,738,198,701,
881,464,577,116,718,961,944,036,210,132,924,692,980,375,032,071,160,048,032,
416,954,815,358,661,151,084,090,075,032,196,133,658,204,555,672,169,377,716,
175,262,814,974,547,787,125,464,458,363,569,020,816,371,742,689,188,322,944,
970,061,454,579,944,816,849,177,298,276,843,750,057,608,148,781,861,336,981,
143,435,607,607,449,679,567,346,859,293,919,136,800,635,859,709,139,461,495,
150,106,534,913,640,947,015,205,242,185,174,250,536,932,577,040,175,660,262,
076,590,580,028,271,717,548,269,313,638,287,270,528,235,607,954,335,599,564,
979,277,548,840,655,312,415,352,949,854,740,361,592,332,260,819,986,061,523,
788,902,250,898,386,429,986,605,609,434,892,072,176,326,108,955,724,618,518,
845,644,293,884,532,106,605,203,942,716,653,008,795,709,286,520,278,098,686,
468,203,880,557,098,588,932,878,334,833,703,213,615,437,891,649,368,840,138,
086,303,263,119,978,319,267,256,141,829,191,011,227,807,222,016,589,511,788,
534,447,691,059,740,802,440,208,003,386,590,394,325,298,166,543,509,125,767,
297,633,160,130,836,602,006,106,068,592,854,797,916,093,950,415,759,140,718,
321,480,709,101,102,670,465,257,842,137,616,679,199,236,541,557,233,067,572,
961,465,891,007,148,738,407,611,577,212,146,932,700,462,294,048,684,457,990,
606,826,806,212,894,703,609,909,571,385,936,597,559,526,594,257,268,460,325,
714,705,452,238,888,508,335,755,521,369,257,894,715,226,270,486,695,181,031,
767,243,104,407,728,660,916,944,072,063,094,333,529,179,232,826,479,737,159,
796,047,446,326,426,610,675,998,205,041,925,757,544,645,223,551,238,855,383,
508,189,528,825,760,476,387,819,350,818,724,659,728,213,400,336,807,964,081,
555,261,723,673,235,297,066,859,989,172,655,513,951,623,644,891,708,025,517,
876,245,517,394,692,694,986,978,074,565,571,010,264,650,298,601,365,708,203,
546,362,650,279,330,723,683,961,165,202,077,581,715,866,312,762,525,461,811,
720,596,355,913,915,090,862,420,191,500,530,543,727,702,463,845,567,360,772,
030,102,204,650,834,097,691,080,989,099,463,695,699,226,515,155,442,466,115,
748,109,422,543,696,515,294,275,525,951,714,097,726,281,934,362,066,011,900,
908,360,790,678,856,634,632,472,708,797,081,738,687,131,747,847,295,901,259,
769,786,443,814,080,608,554,519,767,165,007,345,272,073,460,131,489,311,102,
497,720,693,889,326,702,393,662,087,166,726,399,800,050,571,978,354,876,682,
448,345,972,804,780,532,203,483,531,942,018,217,473,579,717,839,959,114,809,
844,926,811,167,005,474,053,011,642,238,631,187,551,225,697,582,189,488,229,
792,042,763,631,862,383,900,683,162,675,814,556,223,073,052,592,063,356,330,
452,308,713,665,500,408,034,185,608,266,603,383,791,523,001,729,420,913,238,
239,227,827,250,733,441,444,980,349,185,902,015,029,035,600,479,778,514,016,
234,996,209,245,410,397,357,239,219,177,378,413,728,321,227,854,582,113,091,
782,696,007,272,997,582,120,518,821,210,763,318,368,780,362,717,153,559,668,
545,815,635,669,558,118,096,682,572,771,429,477,649,697,172,957,455,958,805,
577,347,541,881,420,836,410,231,171,550,473,643,629,484,513,036,785,615,945,
054,279,676,005,262,059,628,066,174,589,276,002,175,849,787,968,336,994,633,
739,996,082,370,658,305,721,395,567,001,447,871,875,021,618,390,358,745,668,
976,472,694,249,865,349,472,937,308,375,627,658,218,099,422,062,483,228,798,
785,796,016,954,165,345,885,247,464,716,152,077,896,792,480,204,399,645,260,
374,251,005,875,376,199,759,293,980,870,212,354,608,394,557,372,772,143,978,
551,283,905,710,331,130,220,753,911,605,948,010,480,059,385,745,195,473,000,
252,730,592,167,483,564,508,483,674,754,692,930,420,169,680,540,842,393,760,
321,924,425,112,822,909,152,081,006,559,527,953,999,342,503,230,628,188,099,
000,120,565,794,099,420,441,573,575,214,260,184,319,433,246,377,040,501,246,
796,471,551,896,758,058,362,370,142,327,248,250,234,853,484,595,164,755,356,
418,330,197,491,181,846,409,283,877,862,396,908,239,520,750,479,747,740,377,
702,842,034,254,336,827,024,867,310,440,785,175,134,970,954,798,824,328,164,
949,179,599,907,660,027,724,270,069,868,541,252,966,750,105,136,893,030,036,
078,251,144,840,355,396,136,520,854,087,254,691,433,722,852,236,890,743,124,
992,968,989,616,115,300,643,081,825,648,387,976,350,854,498,893,275,771,410,
947,639,976,137,310,967,516,954,560,842,759,857,517,789,841,906,720,946,169,
880,773,707,074,161,158,443,351,123,716,538,058,525,503,074,793,125,944,624,
937,075,129,821,576,230,560,082,981,677,095,153,217,219,949,307,047,487,910,
227,870,323,541,591,298,237,664,351,199,762,143,557,827,077,201,676,899,568,
881,483,605,132,113,437,059,607,217,524,218,723,466,641,049,557,900,654,482,
416,146,425,279,429,680,465,344,344,448,665,645,796,562,669,771,344,764,942,
316,344,328,047,995,392,082,427,599,038,006,386,238,467,997,764,341,783,812,
330,627,194,865,807,325,892,434,261,424,596,815,440,294,875,227,022,709,040,
652,895,298,931,803,474,584,640,367,219,018,715,904,049,465,397,892,158,398,
793,436,671,232,219,709,214,558,932,704,623,472,432,193,768,773,678,991,533,
629,128,933,581,156,314,397,507,676,648,207,288,533,589,755,719,529,242,821,
988,009,568,137,009,181,404,728,716,333,602,070,806,811,080,793,810,801,688,
967,165,237,559,195,986,812,487,484,535,090,435,332,461,501,165,165,154,662,
595,567,800,044,303,005,638,146,508,047,522,356,452,035,126,591,330,192,883,
793,357,555,562,466,769,283,106,677,364,183,879,233,886,227,250,617,783,845,
046,484,708,198,231,239,273,739,496,033,471,784,510,469,897,922,064,756,610,
917,848,017,529,095,405,708,003,887,583,866,179,266,206,918,739,515,938,792,
488,380,457,829,517,223,104,265,601,550,468,772,898,001,024,504,426,154,950,
547,064,231,355,981,489,996,375,969,497,143,996,073,420,817,478,763,527,275,
975,519,082,836,682,725,198,107,516,263,979,545,077,952,606,992,605,239,473,
948,927,904,025,025,974,492,787,567,385,138,542,730,508,611,263,421,809,625,
495,720,095,564,786,879,064,089,617,358,826,086,243,365,099,139,081,405,989,
321,288,745,625,759,689,368,662,649,290,147,266,551,121,916,486,766,761,921,
847,851,807,661,044,196,059,979,323,899,427,565,730,540,704,244,602,499,395,
500,744,560,848,603,520,385,148,358,956,240,050,183,402,350,946,835,747,630,
371,803,422,117,666,586,501,266,456,661,718,662,625,979,303,834,954,042,585,
646,102,189,560,626,819,617,341,834,088,686,951,167,153,212,298,873,920,563,
620,051,016,178,412,382,128,336,154,634,152,316,318,033,012,006,791,908,405,
636,648,159,414,066,838,499,328,971,406,875,164,204,183,692,601,441,411,632,
514,566,861,618,783,268,655,280,125,972,927,941,605,486,549,941,614,501,119,
291,549,322,650,353,533,998,902,818,267,715,244,090,319,137,718,992,581,786,
666,587,732,882,818,225,676,678,506,531,290,503,230,502,124,235,117,572,857,
871,072,286,663,824,917,572,862,050,248,606,793,557,867,961,472,437,967,736,
005,721,670,100,455,634,229,980,173,667,207,465,406,953,934,793,174,669,961,
414,872,969,416,395,043,846,739,824,353,216,625,931,929,106,066,954,796,578,
681,164,804,647,885,116,110,991,413,059,550,149,517,760,455,653,857,675,065,
147,841,648,594,808,717,550,640,435,028,854,003,296,937,167,964,484,764,641,
032,508,464,712,335,832,973,664,455,699,892,621,581,061,849,281,525,138,639,
416,909,323,261,393,858,616,214,599,661,479,781,229,654,717,207,473,813,216,
999,246,406,866,750,417,030,336,845,931,961,187,698,209,758,311,858,491,296,
388,562,676,031,373,027,649,470,483,049,218,235,717,043,659,343,572,543,577,
553,494,422,188,315,209,661,554,850,780,549,364,798,915,703,900,190,925,506,
839,479,440,578,149,167,256,257,802,589,528,890,516,428,530,219,815,284,986,
589,263,559,356,568,651,750,045,874,900,832,047,407,162,181,162,794,835,159,
524,203,342,309,140,055,181,983,773,316,257,698,710,440,782,479,852,276,294,
789,148,920,776,234,396,043,690,853,542,234,362,490,127,367,196,002,219,768,
286,943,068,001,829,174,916,942,049,725,019,198,311,693,649,435,700,672,719,
141,203,012,968,564,435,166,021,463,438,767,812,810,901,154,689,427,294,110,
467,327,969,717,612,784,935,436,253,496,526,609,172,460,534,901,627,785,498,
512,425,326,999,516,494,488,598,344,509,180,298,771,774,657,849,358,772,179,
182,703,078,679,868,183,419,008,869,187,698,861,203,903,964,029,203,896,131,
873,984,270,867,616,493,433,036,019,828,226,241,495,455,481,979,450,024,318,
452,147,865,957,166,199,509,061,509,710,979,976,170,705,488,450,756,988,601,
061,744,410,552,085,918,404,467,416,385,026,658,253,820,426,516,780,349,676,
794,527,244,777,754,951,908,294,478,755,208,962,660,666,625,245,811,593,158,
142,658,879,638,032,517,061,457,532,806,170,622,670,593,687,409,236,211,215,
280,396,047,985,285,691,184,567,531,756,825,550,613,277,310,320,419,519,471,
902,580,887,089,164,413,485,492,816,009,887,561,313,115,107,325,463,860,293,
161,889,562,238,516,571,458,124,971,782,714,260,397,344,673,679,618,510,027,
045,963,368,736,715,135,100,404,097,598,889,078,504,991,962,248,512,193,669,
489,221,146,363,503,560,386,146,586,444,892,842,919,216,323,953,399,875,768,
758,749,065,096,915,383,876,031,068,681,920,896,621,277,886,755,431,238,853,
333,829,935,334,523,219,197,051,032,142,047,020,332,639,999,499,279,599,924,
627,454,137,149,892,006,048,241,313,888,440,743,938,977,433,022,033,706,777,
544,189,268,194,441,571,446,015,150,114,774,332,710,408,531,135,991,384,855,
309,943,144,790,765,977,784,053,533,219,206,104,989,446,391,318,790,202,295,
098,397,645,608,645,429,648,430,842,442,258,967,207,765,055,013,639,704,367,
195,527,626,596,611,087,763,433,402,350,089,598,242,881,164,762,228,605,356,
531,582,862,573,338,125,640,270,142,913,912,670,783,999,061,307,659,075,947,
077,348,716,188,645,915,214,515,247,033,677,809,803,969,178,558,135,833,941,
833,530,953,267,278,455,054,012,616,270,384,123,281,452,777,261,548,356,473,
292,250,198,356,069,942,406,747,775,532,749,564,062,372,675,552,530,175,622,
806,193,723,375,394,841,616,377,943,610,681,070,952,226,326,867,926,667,446,
228,461,019,099,102,221,178,989,955,526,596,444,611,627,712,749,329,666,354,
020,784,954,104,136,788,655,951,634,498,623,350,593,803,286,814,414,063,441,
067,407,691,234,895,010,350,833,577,147,324,270,649,035,625,600,613,498,243,
033,735,055,472,988,794,300,564,537,972,046,491,752,956,665,416,745,007,334,
922,086,603,015,257,599,257,472,429,540,412,597,018,411,237,841,859,141,304,
222,897,360,707,102,621,740,601,476,793,155,632,299,613,221,301,221,972,966,
157,752,193,315,135,432,198,102,501,473,313,006,122,382,960,052,839,341,531,
084,092,042,615,172,542,133,799,053,883,369,755,032,748,556,232,749,306,807,
143,096,485,722,702,377,691,793,365,261,086,572,803,768,795,267,235,208,347,
269,999,542,566,015,809,068,080,526,314,415,005,243,762,547,475,613,649,645,
429,170,852,053,821,753,994,819,013,671,555,714,329,550,418,647,478,433,813,
707,110,453,681,274,379,918,609,382,895,307,053,294,054,139,264,762,640,637,
462,562,058,554,417,796,093,272,998,428,110,903,672,745,028,943,406,482,592,
113,371,474,496,769,280,755,280,986,439,081,279,903,075,039,340,292,233,815,
004,198,076,773,286,437,016,022,189,325,394,146,581,144,361,723,767,185,263,
709,844,306,526,375,168,887,625,842,618,203,532,100,229,095,106,283,371,227,
524,535,363,195,899,034,987,965,663,392,605,474,929,366,351,692,368,984,504,
549,987,030,779,169,557,273,038,073,165,705,460,166,223,614,823,451,120,780,
148,539,424,480,993,446,596,760,104,457,471,931,002,085,079,658,392,768,739,
043,621,740,563,148,701,666,057,781,906,557,090,626,312,120,458,059,755,099,
644,504,214,121,751,354,987,240,435,219,887,034,136,483,724,418,822,916,088,
855,184,850,604,394,074,642,015,337,101,127,637,166,494,296,234,517,732,837,
915,283,043,628,068,502,844,230,626,941,966,448,675,608,311,886,874,665,367,
792,843,300,741,025,069,989,687,068,311,952,150,979,659,619,488,856,843,499,
349,973,804,948,670,825,465,376,335,325,686,875,816,705,867,849,205,050,089,
181,829,629,583,323,237,437,313,078,550,813,364,312,824,245,112,761,013,464,
816,362,397,533,077,420,841,170,216,727,035,006,364,024,268,362,141,192,925,
059,713,706,129,825,154,635,695,429,994,990,899,588,174,891,667,564,621,004,
179,754,406,217,040,165,081,113,219,675,264,796,347,517,205,640,848,935,000,
061,717,741,177,898,301,933,322,889,816,725,216,871,285,729,083,166,871,434,
919,229,911,958,117,790,929,772,100,169,935,344,798,656,387,827,591,015,017,
234,913,746,555,665,562,833,814,144,568,318,430,322,545,945,112,131,694,299,
950,318,640,532,800,849,387,173,272,653,746,881,988,503,608,671,399,267,961,
068,303,048,017,986,482,499,082,257,420,451,186,764,770,104,834,161,280,654,
319,951,740,504,404,089,408,695,382,194,314,765,948,356,386,165,791,057,948,
512,092,456,250,472,497,645,573,497,470,562,880,015,823,040,362,953,272,332,
870,280,289,650,953,749,104,934,158,277,448,587,478,687,234,446,586,845,967,
723,854,056,972,568,518,456,238,468,771,685,628,527,809,449,967,703,444,853,
901,854,073,381,009,178,991,450,913,533,108,825,963,751,172,896,311,999,424,
576,542,040,004,612,209,355,864,593,160,313,215,296,746,297,173,812,164,662,
936,943,809,325,832,142,199,779,811,954,762,913,345,773,612,389,668,147,960,
339,099,112,783,419,251,834,712,944,705,089,910,243,007,881,782,009,550,033,
542,066,686,390,649,032,159,421,937,320,303,922,938,939,004,304,767,886,003,
331,053,667,988,810,599,148,607,524,341,247,162,502,849,398,964,694,951,675,
921,337,011,958,907,051,900,766,305,527,141,703,943,330,071,377,422,321,391,
734,123,915,670,851,375,114,282,934,063,859,474,666,816,782,751,134,758,398,
467,664,770,629,641,234,013,263,733,198,570,539,873,256,704,318,583,680,542,
718,906,387,866,475,494,343,105,143,460,323,622,103,737,098,604,926,053,176,
839,942,020,416,796,994,379,014,463,071,640,322,133,486,424,552,301,579,389,
205,812,699,475,282,548,871,431,666,856,312,163,310,715,228,839,307,541,805,
576,787,490,364,917,463,169,587,140,569,739,193,953,253,504,631,436,362,991,
895,356,840,281,196,612,561,438,982,851,727,051,743,362,551,462,614,466,781,
804,288,472,485,714,086,038,144,476,762,916,585,470,799,391,598,967,096,353,
746,394,372,494,176,483,390,433,110,486,440,319,504,447,160,324,585,607,530,
377,303,479,228,191,105,982,102,406,487,826,085,447,640,536,942,170,854,573,
725,805,088,941,834,290,480,472,941,353,837,391,583,042,137,225,030,599,109,
226,211,873,524,397,864,180,201,942,585,128,394,597,478,697,474,706,899,050,
168,283,165,344,838,881,567,137,548,122,839,016,670,913,082,246,142,731,724,
619,821,601,664,269,527,703,358,195,881,853,945,418,737,317,875,693,796,420,
040,866,311,561,416,390,933,226,255,643,476,060,799,173,341,309,345,468,469,
109,413,459,825,620,968,785,557,575,563,578,843,697,672,901,356,672,524,679,
140,789,068,152,534,468,929,983,990,546,158,446,123,951,677,750,757,908,282,
791,086,944,330,300,412,495,090,954,139,609,409,908,385,882,240,881,373,958,
907,411,722,959,551,800,075,316,137,287,089,891,148,414,550,448,488,068,511,
007,670,008,526,636,313,269,882,264,390,138,174,276,405,768,540,506,044,201,
398,005,322,529,745,753,677,837,847,798,795,019,719,832,210,874,124,017,892,
539,978,785,910,143,616,229,288,615,504,000,572,903,501,963,139,758,874,054,
440,846,072,333,861,329,499,086,451,618,510,431,876,985,300,998,639,400,057,
067,562,407,811,721,628,775,584,272,482,042,106,590,630,291,930,564,583,683,
814,758,248,932,087,855,103,315,867,390,728,785,712,262,449,329,341,716,204,
306,758,722,038,237,369,228,520,161,233,403,915,441,609,068,313,598,410,729,
933,341,812,214,103,293,013,746,044,161,178,422,797,264,981,668,496,932,154,
897,808,548,507,153,508,358,018,173,198,000,661,098,910,424,021,639,799,406,
884,275,474,435,144,879,024,462,084,731,482,745,316,789,689,617,734,348,119,
691,737,094,050,267,590,875,611,405,104,340,405,357,977,285,449,709,114,136,
392,460,190,099,474,914,240,721,293,111,717,751,978,551,094,512,841,622,632,
036,896,422,193,095,650,701,610,027,220,043,772,574,881,955,691,990,210,639,
001,001,957,192,744,015,655,050,753,202,249,986,456,737,898,653,876,607,344,
988,259,666,729,553,572,089,269,148,024,834,910,676,519,674,892,560,751,075,
705,381,571,739,162,711,798,580,842,836,294,531,408,691,996,774,994,717,815,
465,950,620,424,944,193,593,705,348,125,558,582,463,766,772,109,087,532,510,
620,649,090,014,106,308,097,447,469,725,890,820,699,620,221,102,349,706,737,
190,113,058,281,096,621,446,067,118,916,867,992,805,226,381,104,721,215,279,
992,405,894,538,458,690,706,884,035,753,771,188,883,300,841,883,413,954,135,
381,089,398,304,717,883,705,100,478,659,521,024,275,948,202,414,703,415,688,
520,529,604,382,825,883,412,795,727,898,690,256,103,137,520,138,274,304,826,
424,961,095,196,133,142,901,469,824,967,555,030,167,162,148,220,058,059,401,
402,181,805,744,075,736,239,721,749,813,236,608,669,377,745,180,067,227,023,
969,704,098,689,385,652,708,126,633,182,896,111,262,975,010,150,522,764,341,
391,908,619,316,241,683,031,522,083,209,796,444,602,894,966,857,827,442,883,
085,117,063,456,661,280,630,463,920,274,885,724,057,929,028,447,759,084,877,
313,613,879,854,401,316,187,396,180,782,088,234,463,456,253,325,510,698,836,
721,233,786,935,435,350,612,822,709,915,453,894,365,565,952,075,944,366,131,
452,125,972,015,523,400,109,451,618,275,648,426,460,250,584,893,588,331,573,
927,984,340,349,850,451,953,476,666,048,574,024,751,127,676,827,397,108,872,
070,103,477,008,061,354,905,018,431,024,986,515,324,928,892,615,494,964,422,
833,845,737,980,650,140,035,136,431,524,205,694,601,756,310,024,304,816,005,
152,817,008,665,722,248,730,824,441,800,499,518,383,738,668,644,676,178,893,
887,726,671,469,102,788,108,498,199,661,021,258,932,656,859,668,545,338,273,
354,666,582,791,927,130,569,563,414,060,096,934,705,978,278,514,928,723,756,
807,952,732,441,207,371,405,676,340,805,964,526,589,165,866,600,674,562,205,
382,818,018,413,659,702,526,965,444,594,172,346,634,999,348,432,993,373,697,
335,971,009,774,313,459,417,316,944,654,349,997,752,966,888,955,373,319,104,
461,035,051,592,715,982,058,207,872,847,007,017,022,542,135,777,520,175,049,
646,455,400,697,178,132,798,950,886,868,103,899,632,672,702,224,609,409,930,
382,817,276,674,989,152,115,663,459,912,413,912,940,818,930,306,204,965,672,
719,999,295,282,020,580,588,409,336,920,993,229,599,914,875,966,041,339,961,
686,473,761,869,387,851,311,240,160,778,120,319,318,061,322,880,044,759,455,
735,218,138,149,997,496,465,437,804,104,872,872,002,415,676,069,466,717,656,
890,564,221,258,704,340,785,425,365,719,896,910,578,159,510,864,692,176,629,
150,516,659,492,264,827,026,336,707,982,749,528,333,482,930,783,074,478,156,
624,429,694,261,614,128,360,579,702,349,169,764,447,604,554,472,168,593,985,
843,530,609,557,431,315,558,229,906,162,409,210,989,881,747,045,612,682,845,
333,174,542,891,006,463,830,534,351,548,733,471,948,771,288,300,469,837,470,
450,548,399,596,720,150,303,689,331,586,049,090,538,714,683,266,947,280,034,
502,923,444,301,245,017,083,050,938,059,695,248,587,059,110,058,242,894,742,
144,287,525,905,665,238,952,194,296,439,153,536,824,495,402,372,284,381,254,
903,352,108,078,740,320,768,512,504,463,192,071,575,383,440,782,036,686,501,
645,574,468,795,518,185,245,691,081,843,760,437,619,166,447,881,464,788,130,
110,831,366,775,192,332,215,145,065,726,368,097,576,111,994,887,938,675,380,
614,882,753,953,712,182,005,466,010,170,410,975,521,438,864,403,597,763,295,
932,746,756,798,547,853,132,116,495,707,131,788,089,737,653,144,242,304,073,
447,794,140,863,787,652,368,931,139,598,709,725,236,277,282,701,312,188,478,
100,124,491,179,923,306,217,639,052,493,666,431,900,972,930,722,684,380,359,
232,229,398,929,312,811,946,797,370,083,517,252,281,323,418,694,202,878,752,
028,337,872,676,403,605,849,918,685,098,936,758,356,107,240,385,044,583,802,
399,555,595,823,516,320,179,461,948,782,137,518,840,066,634,198,773,416,322,
759,110,543,985,036,420,433,229,033,609,317,353,603,228,521,893,548,660,412,
927,979,951,798,927,880,824,994,066,382,705,046,245,685,953,485,615,556,765,
108,144,097,225,950,235,786,695,589,020,146,710,346,343,724,949,392,799,409,
372,668,208,263,766,457,479,481,866,159,959,930,804,658,596,479,804,673,709,
106,044,406,912,567,276,525,129,001,165,516,772,964,805,645,444,843,451,700,
827,190,206,088,300,047,117,178,008,671,286,503,444,300,358,106,206,462,895,
126,294,516,139,653,062,966,916,177,315,273,542,065,005,796,114,414,541,937,
324,591,421,620,305,254,067,796,696,018,409,755,001,628,146,345,159,517,422,
565,898,973,262,919,371,331,703,340,984,172,835,223,341,109,538,433,894,856,
531,668,464,963,945,349,232,123,083,272,941,340,855,628,060,485,687,212,818,
026,698,202,703,961,796,127,150,005,510,662,523,984,933,935,975,635,854,020,
438,026,014,167,746,101,310,437,580,080,687,425,262,276,145,085,171,309,647,
599,887,601,038,143,225,947,484,635,601,459,424,657,333,450,247,598,748,660,
128,342,284,773,608,392,926,191,416,442,308,289,213,651,976,780,872,396,295,
271,517,035,075,703,549,744,368,598,217,600,687,406,109,867,248,538,769,889,
626,567,067,205,144,806,025,725,931,229,891,850,892,796,449,461,422,003,266,
908,792,168,182,096,052,071,047,337,572,420,472,759,991,720,590,043,447,857,
433,336,986,736,747,206,907,875,633,920,771,504,897,853,720,527,116,362,431,
348,371,893,061,326,917,482,102,677,544,310,345,128,868,240,532,701,270,983,
719,676,564,233,152,809,296,131,773,397,216,975,335,201,535,693,367,677,826,
058,745,081,409,867,926,928,752,498,774,198,968,253,466,305,772,667,190,591,
336,760,579,211,674,754,804,011,594,009,821,328,391,545,911,671,769,190,325,
693,398,038,660,278,888,352,443,219,045,400,018,869,007,858,170,098,175,984,
515,713,073,570,057,520,157,591,879,608,821,874,021,353,443,266,591,424,803,
027,209,608,542,058,969,357,514,909,225,955,131,178,221,957,634,425,723,971,
675,576,536,663,613,618,036,210,314,516,498,969,277,299,356,236,790,487,024,
770,913,236,551,928,527,529,966,801,390,173,609,488,468,805,120,605,617,252,
213,336,003,000,288,397,103,878,842,922,656,046,773,167,152,467,827,587,879,
615,046,775,244,972,114,405,695,780,223,305,223,996,610,938,015,353,420,389,
298,944,472,184,670,401,800,294,222,196,862,379,776,767,754,498,972,531,910,
908,960,796,663,424,844,226,452,801,132,061,919,645,945,490,179,475,436,216,
081,931,919,413,430,289,868,548,051,502,711,696,547,321,553,881,329,830,722,
441,695,051,445,433,935,237,809,042,383,270,400,216,159,997,872,008,958,923,
317,346,232,526,089,606,972,622,006,349,149,219,049,470,344,576,113,485,345,
865,918,336,064,187,997,454,208,730,198,291,754,565,151,621,283,954,158,898,
761,207,165,180,462,727,173,039,697,163,243,618,408,297,711,598,233,838,281,
426,160,824,852,408,022,627,330,059,580,170,277,942,244,318,127,271,122,182,
467,529,793,594,069,797,205,912,300,349,447,823,388,057,431,566,350,133,677,
449,628,410,889,313,058,196,543,388,601,700,973,815,013,563,143,548,061,738,
479,257,159,883,590,904,922,604,696,783,621,530,212,202,996,947,610,672,108,
179,099,229,340,185,357,361,572,025,532,954,126,102,068,474,407,457,559,785,
763,555,479,242,946,993,461,657,784,327,390,390,490,841,723,517,761,261,417,
517,147,392,844,515,808,718,680,960,489,837,151,398,877,282,410,998,119,595,
803,853,498,929,014,360,596,787,983,232,009,803,734,534,777,430,577,037,950,
309,899,298,533,807,701,225,619,211,596,589,829,558,600,950,432,450,283,152,
743,001,631,742,873,261,292,057,636,807,221,813,176,606,126,421,949,776,098,
212,247,459,607,310,120,890,882,027,137,512,219,564,550,499,156,879,011,557,
987,889,170,867,589,443,146,939,527,316,280,216,852,501,141,692,395,081,217,
506,239,319,360,129,078,647,223,576,068,562,727,338,583,716,925,203,937,707,
943,434,199,370,183,292,770,847,942,258,502,942,610,126,323,456,079,671,791,
855,634,067,592,330,946,786,970,076,153,364,644,218,105,444,979,232,770,530,
367,263,510,803,438,219,929,711,826,838,995,618,548,891,972,160,105,147,195,
426,671,256,260,045,254,683,586,877,964,491,775,401,463,198,316,713,441,160,
052,598,938,146,540,889,291,077,219,888,403,178,550,506,861,437,025,002,443,
847,263,330,002,633,438,738,030,980,320,846,242,390,588,854,702,810,028,477,
709,665,833,812,488,427,266,065,508,664,195,223,859,403,254,962,325,738,373,
456,022,218,010,822,991,750,038,283,086,054,144,312,761,877,004,693,964,795,
572,618,695,948,384,141,535,119,301,687,569,410,761,608,798,053,585,046,398,
048,631,133,148,860,134,712,339,596,209,208,876,387,324,818,726,102,331,964,
784,235,007,117,317,385,535,654,245,901,847,594,902,544,022,072,290,030,266,
430,269,109,926,891,679,421,933,662,162,689,103,457,388,166,026,433,733,597,
200,746,242,915,461,785,332,347,389,265,606,309,942,610,194,840,363,710,664,
082,531,264,543,478,762,438,429,414,137,526,647,706,461,804,806,138,271,153,
364,800,354,634,984,383,813,259,295,922,698,969,495,625,793,585,787,037,699,
552,192,637,191,545,412,912,247,528,888,122,830,565,437,510,259,394,446,014,
184,331,524,663,787,424,970,973,144,652,629,687,312,519,988,488,752,882,852,
912,121,619,980,929,434,521,070,526,768,212,280,118,882,766,589,794,000,654,
427,701,256,975,043,758,594,298,252,528,872,011,871,555,567,187,274,584,000,
852,764,446,855,314,483,131,581,477,126,238,109,986,837,526,965,744,797,316,
548,979,803,087,140,256,236,475,697,781,075,097,961,310,825,062,852,672,540,
920,322,639,963,735,681,909,656,830,564,556,907,034,556,113,308,132,358,842,
372,143,255,966,407,601,553,087,278,613,619,854,685,240,399,598,109,814,910,
623,558,732,156,198,581,566,732,927,248,759,542,913,747,901,605,372,529,835,
207,015,742,200,424,219,208,754,506,816,780,105,491,589,552,134,558,925,248,
259,569,726,756,878,053,912,486,201,662,641,994,849,253,082,115,675,300,490,
806,522,365,881,910,019,679,178,083,053,589,489,323,443,566,755,642,495,919,
276,140,020,090,993,624,114,096,271,900,517,648,924,928,178,047,186,291,643,
502,081,969,955,691,751,275,915,906,887,896,053,748,802,553,743,785,173,607,
509,902,628,464,890,858,229,750,708,692,675,222,570,171,703,605,347,744,888,
899,771,827,328,833,700,134,432,248,718,858,222,446,995,626,796,166,802,377,
831,911,575,819,604,951,617,647,831,276,663,047,112,781,609,248,365,698,378,
966,787,444,872,447,595,173,577,622,254,415,483,657,489,548,714,471,277,375,
398,693,392,571,771,842,600,661,896,161,823,770,527,854,798,730,876,634,654,
533,912,187,294,838,070,317,236,779,089,614,864,380,903,728,434,450,601,750,
021,647,636,319,818,893,993,566,169,157,412,453,991,975,381,195,769,863,013,
988,456,988,724,969,406,860,258,371,122,591,553,361,784,609,420,124,152,511,
867,812,170,570,883,873,408,346,247,845,096,118,910,658,602,761,350,132,576,
786,196,806,033,984,154,418,814,297,817,438,886,933,175,252,185,561,363,688,
597,745,987,718,084,662,289,765,855,659,147,574,317,001,556,899,868,749,456,
571,994,950,809,183,636,294,490,509,180,409,227,975,317,493,125,149,716,322,
080,376,366,759,126,617,997,505,262,163,461,474,670,559,080,718,094,166,799,
665,337,802,526,689,105,947,285,866,954,616,278,000,307,864,534,616,425,531,
329,486,234,936,935,817,795,830,705,583,235,926,648,140,609,812,911,059,807,
094,947,199,561,878,983,035,094,416,766,527,777,685,457,323,846,411,488,903,
174,206,744,780,403,164,630,358,167,573,815,832,047,078,624,038,484,792,225,
669,164,914,417,146,500,845,903,453,338,189,735,132,580,724,654,275,073,005,
945,966,985,335,206,291,471,668,790,747,021,659,240,211,239,741,549,946,628,
910,819,312,166,786,536,978,793,413,178,389,112,292,127,949,377,196,306,318,
297,981,323,901,558,336,261,229,973,066,536,941,777,583,537,968,355,193,269,
894,994,013,459,602,625,199,209,471,424,630,629,567,793,838,788,329,460,823,
771,867,217,806,515,120,126,643,302,476,596,931,112,292,769,486,646,925,803,
735,749,395,761,125,128,414,733,010,292,085,481,416,780,465,040,629,718,631,
667,102,869,364,774,147,852,833,569,521,309,497,404,886,860,079,185,403,310,
232,461,301,055,985,607,223,217,239,682,483,903,110,764,189,402,910,760,486,
384,324,183,650,974,795,942,106,111,508,325,120,125,540,675,765,209,996,473,
141,101,126,225,327,649,021,614,340,042,766,220,074,546,942,817,510,715,543,
350,520,601,743,039,899,959,167,894,017,668,740,429,574,285,056,354,809,056,
154,011,255,044,481,765,670,725,387,653,674,238,005,561,400,855,955,480,111,
691,912,317,195,152,960,402,929,831,830,447,107,027,216,104,902,320,503,885,
402,905,545,950,978,277,061,084,641,488,268,170,372,052,195,918,450,930,574,
323,860,948,793,549,312,057,287,236,792,967,132,099,357,322,400,873,559,565,
487,145,876,019,433,514,468,793,504,173,940,555,089,623,794,261,553,416,586,
833,372,563,633,765,502,835,283,229,340,752,645,386,618,981,212,728,313,516,
990,519,381,269,520,769,803,674,460,078,932,299,549,658,134,690,516,278,370,
925,888,364,610,079,751,300,755,697,270,016,102,616,614,677,612,793,142,558,
990,675,227,866,226,309,662,614,085,617,109,181,211,915,064,082,729,759,472,
070,511,709,075,222,073,662,114,335,176,247,596,457,970,639,230,191,852,568,
969,825,000,604,878,197,083,807,122,399,344,259,711,017,575,980,501,935,622,
476,284,704,690,454,047,636,968,919,293,119,553,437,906,503,435,600,793,879,
141,218,311,215,606,731,540,552,466,764,591,550,880,408,088,967,617,797,105,
118,496,527,304,201,050,220,858,090,067,654,541,578,561,266,712,988,134,936,
574,560,652,735,059,869,092,161,982,221,299,619,484,703,908,796,089,256,720,
108,252,790,099,107,812,785,607,495,936,279,384,878,998,301,161,030,234,885,
005,069,052,013,780,894,854,756,188,003,553,902,663,929,490,993,012,355,925,
571,695,193,610,893,957,954,772,040,389,283,041,404,616,652,156,065,132,667,
243,563,072,251,837,572,570,860,304,403,040,621,709,850,245,440,494,707,176,
802,417,311,682,652,874,308,875,265,683,031,655,946,172,593,478,194,133,693,
578,987,396,216,724,510,283,048,537,739,993,236,683,548,570,694,002,858,251,
627,788,729,222,075,114,050,185,557,806,717,109,337,072,430,832,759,602,791,
815,171,907,999,673,509,103,844,963,131,245,747,137,732,114,572,764,295,058,
422,777,099,120,266,150,677,753,024,345,606,508,542,893,840,499,807,444,799,
643,185,944,965,108,085,600,728,358,853,491,917,647,206,268,824,383,141,454,
019,967,062,345,834,022,330,381,674,989,013,194,840,434,966,640,739,619,270,
111,347,666,852,380,693,380,768,917,877,721,330,347,198,571,622,132,547,168,
432,158,897,094,927,332,499,391,052,551,889,920,354,715,283,505,947,440,958,
444,263,427,053,420,938,871,334,494,581,010,182,586,597,702,458,555,903,764,
527,505,673,843,821,380,995,664,400,531,397,322,065,241,509,562,096,356,909,
917,949,385,192,516,428,106,373,992,562,248,786,471,108,219,230,968,527,904,
529,746,263,974,438,061,949,407,285,181,251,043,780,507,645,645,702,183,809,
499,884,314,381,384,410,129,163,714,589,644,712,020,026,733,360,742,715,948,
358,016,214,723,779,860,383,194,079,395,238,912,251,582,744,085,069,987,737,
180,076,167,381,385,403,719,803,740,145,050,992,001,599,486,209,920,932,586,
019,136,147,999,559,519,610,029,313,624,374,170,845,274,580,345,326,048,464,
289,756,429,613,738,574,538,788,374,786,199,118,412,996,203,529,749,658,649,
018,781,445,406,786,952,878,310,481,424,619,223,598,243,614,895,879,188,595,
312,204,648,465,252,104,677,424,787,360,689,178,207,033,698,941,999,147,669,
142,923,664,019,796,011,858,974,712,499,685,752,006,346,948,996,195,189,159,
068,823,883,936,973,491,638,950,677,348,204,630,475,909,261,557,316,618,901,
372,722,310,127,063,227,317,028,572,272,965,470,855,036,442,209,887,928,752,
775,195,499,661,835,483,195,773,037,538,103,564,107,860,740,287,209,794,859,
123,306,636,087,423,810,414,896,656,165,344,042,631,964,317,584,521,075,984,
297,472,317,870,817,234,327,196,725,825,830,496,995,186,948,788,452,056,718,
404,478,545,706,074,810,959,016,964,178,523,784,720,454,229,629,219,319,386,
865,432,882,520,562,495,571,120,856,191,716,829,661,583,369,580,940,985,263,
205,087,421,337,732,074,644,166,098,639,490,462,594,499,236,462,935,670,501,
058,706,292,002,673,645,471,934,049,220,205,272,348,593,382,099,045,315,810,
990,815,771,004,187,483,055,881,171,575,163,307,880,920,482,611,698,695,811,
864,165,564,685,771,761,921,304,458,421,365,623,871,375,984,440,187,729,593,
700,023,019,749,008,033,245,954,122,531,331,630,676,125,409,074,327,736,094,
977,343,864,282,165,718,858,498,544,188,710,299,496,683,209,710,789,883,803,
691,772,854,445,636,089,953,762,090,734,333,699,955,873,545,541,874,076,501,
427,988,346,793,955,500,965,307,003,911,989,634,273,846,437,397,669,432,608,
877,404,410,538,308,995,565,518,560,657,334,326,584,367,981,071,228,766,018,
752,227,128,692,302,776,722,427,470,941,759,199,444,218,948,128,185,936,057,
399,726,232,211,880,569,495,893,414,059,653,733,386,068,313,358,894,446,923,
059,966,596,416,075,428,805,514,177,724,487,709,009,716,690,532,368,052,309,
833,536,468,789,700,476,191,367,980,874,887,715,376,082,400,235,467,088,320,
242,831,757,878,193,637,977,660,394,100,951,983,289,491,095,354,129,800,276,
758,552,085,470,963,882,696,885,720,062,178,131,576,898,291,415,535,261,319,
585,751,286,844,119,963,064,489,240,672,940,073,288,218,639,073,332,841,206,
728,203,413,666,877,557,196,350,754,105,714,657,100,545,922,176,533,039,844,
328,906,328,975,623,975,127,911,459,813,932,839,415,784,363,179,226,104,156,
849,785,819,844,790,999,195,110,785,824,852,869,295,339,477,633,049,910,558,
968,389,434,857,685,373,689,178,415,632,176,356,812,078,835,303,605,751,737,
516,782,558,168,313,946,268,676,423,596,985,619,269,262,648,784,948,074,815,
528,135,012,226,834,818,550,767,664,812,267,687,727,155,442,004,042,058,627,
526,233,753,109,062,617,317,527,793,873,713,173,651,349,868,053,931,039,678,
488,851,458,044,145,335,503,961,309,782,393,363,765,391,091,153,661,049,278,
236,199,326,834,031,162,937,615,136,025,129,150,154,296,849,754,822,351,347,
193,954,089,634,805,492,401,668,695,964,781,964,307,110,848,809,939,082,008,
990,761,436,574,329,116,147,378,353,905,111,522,076,805,306,004,137,848,679,
643,084,646,505,317,815,237,623,106,785,475,477,505,884,655,124,324,966,674,
554,821,600,898,458,124,195,533,331,955,860,365,429,379,962,808,074,466,619,
963,843,706,480,166,120,521,757,787,686,308,128,413,451,118,886,187,389,868,
534,004,509,442,875,180,268,825,317,869,045,971,417,688,570,209,705,160,503,
499,305,982,668,471,091,983,739,250,768,453,789,711,319,468,767,613,864,882,
528,932,461,174,218,169,451,460,999,201,988,800,826,320,599,138,153,504,354,
056,723,578,147,343,924,319,338,516,766,850,885,122,580,127,312,591,444,310,
815,134,474,663,081,305,508,161,339,777,440,001,604,801,242,186,224,554,427,
470,089,785,574,491,950,513,242,706,768,849,907,503,400,861,125,831,485,999,
221,720,699,464,076,338,615,013,935,578,217,137,050,163,734,582,632,097,732,
673,317,145,423,235,602,313,670,558,494,645,804,841,817,857,742,985,377,554,
874,773,071,104,100,242,957,974,490,985,617,620,921,259,896,311,433,751,890,
374,261,676,787,209,675,981,545,522,195,540,854,793,199,316,487,140,892,972,
827,042,177,641,874,984,255,599,634,056,373,117,755,668,429,596,089,115,576,
761,421,644,518,589,859,394,895,331,939,564,066,430,971,528,040,237,277,301,
818,051,623,464,315,167,424,172,360,344,711,539,466,042,852,838,598,904,219,
469,848,780,815,518,983,571,555,898,426,903,792,693,563,689,996,844,307,094,
519,792,628,980,552,456,427,168,969,576,207,897,885,376,452,737,665,898,829,
320,087,294,319,816,417,309,033,673,960,412,723,827,269,208,296,206,174,027,
543,893,228,377,712,991,418,342,775,555,128,385,827,661,303,601,740,009,456,
635,206,873,877,142,481,126,108,109,327,697,768,522,073,673,098,579,142,077,
388,646,068,379,389,898,055,973,350,353,286,863,074,174,729,854,204,282,150,
701,672,687,937,682,800,610,772,643,693,244,791,027,439,065,634,918,042,715,
232,983,902,021,392,609,431,018,975,149,344,841,650,080,263,436,613,842,840,
757,990,117,611,707,679,808,310,436,414,150,359,411,153,664,631,885,381,401,
270,455,067,407,996,673,473,937,782,016,970,847,319,851,751,316,251,891,330,
226,712,561,390,598,275,371,560,962,671,463,471,004,326,330,442,847,441,888,
295,416,877,673,172,394,852,598,913,664,456,553,647,420,710,386,188,954,860,
636,312,918,688,358,801,451,330,827,211,913,656,145,680,286,361,003,470,515,
997,264,624,501,916,532,547,164,750,927,622,068,457,867,461,939,533,566,385,
099,404,312,385,664,976,903,463,983,043,590,530,130,332,488,731,617,210,153,
736,987,452,742,986,798,589,036,340,887,991,049,470,178,287,043,247,392,879,
823,434,307,029,002,174,003,575,945,185,377,797,083,118,980,065,787,056,035,
802,973,143,377,169,310,200,575,697,750,906,796,861,107,428,592,852,134,466,
782,678,857,526,850,165,033,570,966,493,316,493,403,597,303,491,407,307,754,
217,129,734,548,751,259,338,282,295,994,584,052,264,413,658,349,620,829,445,
850,158,137,020,829,360,508,328,546,445,711,081,152,748,353,731,943,220,024,
022,514,081,987,338,965,038,370,056,948,044,421,074,349,926,599,669,132,904,
173,605,367,197,490,439,533,467,130,191,827,877,844,916,473,279,215,616,491,
841,378,011,201,828,308,350,265,145,139,367,183,815,465,499,379,776,523,060,
953,797,438,204,486,182,685,081,063,570,212,467,710,236,659,851,809,004,985,
928,616,915,647,318,428,103,055,946,623,983,849,890,137,344,170,570,263,352,
944,866,463,237,340,994,807,587,028,331,642,094,876,763,294,039,251,473,558,
645,624,451,287,766,799,197,462,529,349,934,887,606,052,562,679,765,412,400,
095,019,751,851,891,563,893,937,421,411,303,330,048,025,319,852,886,924,376,
349,677,556,751,591,534,249,601,529,861,786,642,394,235,007,287,200,933,797,
064,062,917,638,490,345,486,550,607,222,002,117,426,873,613,959,935,555,463,
902,807,572,124,378,173,647,899,593,565,318,073,168,368,118,518,121,957,297,
441,442,524,834,948,784,533,366,764,341,075,421,471,930,516,442,814,552,015,
235,157,808,347,583,211,196,682,755,877,052,071,675,273,163,299,129,728,903,
262,323,141,805,493,567,697,368,415,671,976,166,794,024,005,279,446,151,740,
294,676,268,215,694,581,610,419,936,677,447,003,138,555,398,089,682,807,788,
352,809,352,423,757,679,365,653,400,604,968,533,141,177,519,051,863,492,836,
621,588,696,996,891,217,477,995,310,002,735,219,302,522,608,548,631,180,660,
578,127,113,903,647,622,307,463,256,965,719,897,542,258,688,413,199,684,220,
335,476,947,761,603,224,148,100,137,401,090,515,001,771,848,683,323,402,515,
459,123,630,346,843,524,901,467,719,136,547,711,821,596,979,124,533,855,504,
554,101,667,689,801,159,183,372,305,020,138,397,699,661,631,288,571,387,072,
044,052,483,882,009,959,272,028,501,238,912,656,638,868,029,994,653,915,781,
709,415,403,236,067,262,248,207,630,512,322,580,494,694,653,509,332,457,173,
574,114,385,441,930,410,363,333,767,129,701,911,071,313,812,063,038,557,111,
704,412,187,472,042,949,928,110,989,189,139,404,103,992,556,220,141,949,047,
098,977,233,995,951,150,569,579,862,560,458,554,906,518,882,771,582,246,792,
602,528,856,813,622,321,764,639,126,317,899,650,255,646,106,102,096,897,614,
819,951,431,665,538,370,747,962,801,566,282,862,354,317,516,131,162,184,381,
850,575,439,337,180,902,012,660,724,313,052,954,106,733,653,909,399,840,254,
772,707,601,000,367,359,915,490,019,857,841,841,945,427,560,686,056,742,374,
613,909,346,765,021,788,253,250,838,804,101,487,467,235,531,256,425,319,798,
506,510,759,681,507,623,499,537,092,645,549,700,979,163,859,924,427,303,093,
474,318,736,462,229,500,108,871,091,285,244,790,057,867,000,054,447,704,769,
179,522,714,705,549,025,011,767,622,978,629,824,902,080,389,030,882,528,026,
076,549,726,887,442,237,097,655,607,166,899,523,863,791,705,269,867,438,951,
203,444,065,433,109,969,541,336,305,484,018,895,849,407,201,363,825,637,110,
238,637,496,863,844,983,210,772,241,814,480,749,952,245,712,611,429,281,761,
926,788,072,119,130,629,910,589,046,945,027,326,854,050,906,831,527,062,221,
793,948,892,994,467,058,156,426,093,485,659,962,902,956,286,580,344,403,992,
445,118,200,184,058,039,083,004,435,260,168,185,517,149,931,586,299,706,464,
230,707,383,678,905,061,485,103,984,697,784,739,819,009,669,569,918,443,970,
168,509,792,572,683,346,655,467,680,649,142,992,613,602,393,939,240,238,438,
951,410,318,800,566,543,597,418,706,328,739,310,083,813,180,747,524,010,900,
106,499,317,895,135,401,706,883,874,448,958,255,059,500,559,066,716,391,279,
235,759,105,992,384,569,130,933,582,332,119,981,599,239,886,067,911,352,010,
025,519,678,864,330,937,546,818,224,960,262,305,655,853,651,722,996,591,247,
713,999,855,895,545,890,476,259,188,630,619,740,833,809,285,726,925,681,205,
216,548,295,600,338,027,912,118,162,551,999,214,906,787,280,226,779,632,177,
946,106,778,125,561,834,596,367,473,588,084,094,571,285,669,547,092,120,107,
678,817,928,486,562,393,781,219,526,972,803,944,301,049,256,511,429,271,488,
502,964,231,991,041,266,061,109,923,379,627,272,599,039,682,380,048,398,082,
623,003,479,086,698,039,190,694,556,166,806,586,897,246,156,007,230,621,654,
585,665,749,227,984,740,156,892,978,035,683,815,389,345,752,060,119,052,166,
252,376,418,156,861,121,718,914,680,233,077,960,190,371,516,555,035,248,105,
372,088,184,047,269,634,674,006,545,204,799,702,572,656,903,045,192,047,469,
334,942,464,134,962,110,382,718,287,665,020,871,779,690,763,874,124,227,286,
013,989,564,099,921,435,410,805,855,975,306,442,994,540,338,979,777,649,020,
348,488,008,126,689,228,894,255,410,532,616,750,823,613,012,102,351,321,745,
799,049,622,679,373,051,625,011,372,916,997,375,173,657,890,799,182,717,229,
652,575,146,187,897,288,390,437,160,612,991,491,177,683,236,982,005,796,526,
388,580,877,918,567,544,293,433,950,134,532,218,300,398,610,148,201,932,875,
823,071,424,067,699,981,608,843,259,674,420,123,314,795,530,524,571,953,830,
707,828,584,715,360,075,214,514,849,801,829,962,180,412,901,689,765,696,668,
220,397,166,380,175,102,594,187,664,940,077,826,233,049,466,853,420,797,505,
780,821,266,403,258,834,740,896,845,203,969,780,141,542,852,970,364,695,764,
601,375,907,235,073,869,718,269,091,881,306,014,592,977,537,155,388,674,718,
592,875,925,858,715,748,766,618,600,338,146,905,293,893,613,994,342,702,535,
043,625,202,002,642,316,701,433,029,664,416,734,706,860,194,478,566,471,804,
112,464,360,052,653,653,506,661,073,059,129,034,574,146,004,781,232,781,375,
709,524,411,723,185,347,245,003,070,957,598,537,994,384,848,165,603,870,412,
630,973,544,585,275,468,371,541,873,810,051,140,940,489,347,842,014,271,921,
268,984,423,921,879,282,813,664,578,019,401,558,242,168,943,764,502,821,939,
790,634,861,411,951,550,311,112,389,506,213,390,967,604,766,759,444,982,163,
917,661,027,180,325,925,384,936,109,348,453,704,154,160,847,718,850,444,335,
705,063,179,790,033,556,296,697,845,240,565,114,220,985,037,944,509,203,898,
209,571,233,752,172,922,210,459,811,818,747,799,617,071,233,935,043,434,973,
023,597,975,569,210,522,837,207,914,026,415,471,601,048,438,668,827,080,318,
343,945,018,259,479,608,279,846,684,333,004,037,408,756,666,577,758,005,698,
071,384,166,199,811,613,913,359,892,830,943,068,744,209,589,335,720,691,086,
314,924,150,891,764,512,472,025,715,763,248,342,234,006,973,242,167,162,275,
871,147,357,223,598,372,531,627,632,241,219,940,927,785,919,576,816,712,784,
980,854,574,984,544,696,405,029,912,508,590,256,787,829,178,939,951,149,762,
664,065,358,792,152,450,783,515,214,101,285,292,548,085,538,628,330,841,517,
843,012,839,486,124,026,657,712,747,133,080,967,244,451,840,080,952,870,243,
618,156,723,642,906,221,366,772,213,178,395,761,892,308,702,664,078,652,308,
635,537,259,694,910,904,837,293,934,790,672,190,583,766,656,629,816,778,802,
536,560,497,142,612,828,934,899,582,201,904,118,345,605,826,208,831,684,345,
176,009,125,479,925,370,424,586,407,134,144,849,179,750,654,723,039,826,641,
547,705,431,991,641,659,729,679,858,348,966,323,305,628,342,712,286,702,471,
427,208,503,823,439,341,311,246,732,341,739,531,168,426,274,207,103,573,067,
450,967,216,367,822,190,789,971,658,123,717,780,080,435,792,334,803,684,154,
845,747,870,501,669,983,123,873,917,468,083,191,705,459,684,375,892,451,119,
090,600,339,697,199,243,765,894,184,182,192,467,311,635,240,115,793,864,649,
004,485,146,669,622,016,908,420,284,651,366,372,381,667,222,426,947,281,066,
466,049,652,703,148,529,583,956,543,473,106,925,201,323,757,532,347,416,176,
703,130,351,281,218,588,254,961,852,053,578,144,141,103,102,014,914,125,764,
609,249,289,644,641,386,944,969,496,929,496,130,243,354,406,026,193,397,897,
605,019,498,914,063,973,098,020,477,188,152,039,538,815,826,422,138,456,946,
767,188,654,381,954,768,765,845,740,348,301,313,796,297,690,117,391,235,304,
267,031,363,754,804,471,709,603,927,913,090,067,317,813,722,766,256,038,836,
235,168,371,492,519,615,633,689,734,208,548,328,648,254,929,456,685,243,790,
254,572,879,365,163,618,218,347,158,753,784,713,025,690,356,805,736,759,941,
362,779,732,081,890,724,877,728,091,436,372,847,223,216,963,147,689,523,162,
371,853,065,161,309,955,585,461,845,186,427,115,595,180,421,213,890,037,233,
671,863,065,983,401,168,856,376,654,382,920,799,189,979,257,741,765,858,821,
988,143,500,948,289,182,569,215,277,438,893,351,629,278,332,057,012,918,984,
609,426,594,367,244,982,831,232,568,045,497,091,347,500,627,421,391,448,192,
658,039,722,924,507,548,601,481,519,376,671,953,709,657,066,262,220,875,275,
265,691,357,827,174,870,200,226,438,771,264,958,154,916,000,444,639,145,603,
566,180,231,145,502,580,672,762,049,669,108,439,453,932,781,950,989,599,846,
776,126,221,536,799,776,436,326,508,717,323,400,646,470,299,777,440,461,996,
331,569,115,846,440,987,364,210,906,279,400,843,391,864,770,483,315,442,237,
943,423,035,816,798,164,498,159,696,037,647,175,351,858,327,682,617,804,759,
146,247,557,085,420,423,557,134,683,287,373,684,230,630,854,478,586,068,821,
412,040,146,708,920,306,636,641,125,819,577,161,822,085,472,025,273,339,067,
452,601,877,465,225,649,211,022,350,197,107,110,346,606,734,106,482,728,578,
654,888,930,704,934,303,280,574,999,743,552,910,913,405,783,040,311,657,705,
994,597,913,286,148,492,452,320,861,343,469,115,268,974,878,417,760,068,641,
553,016,413,329,874,992,928,251,060,823,957,553,065,018,790,140,088,253,256,
709,797,204,155,236,942,916,355,677,476,639,135,678,484,543,610,315,073,411,
138,493,353,092,051,086,411,345,130,153,825,313,676,881,808,321,755,806,581,
454,933,250,332,354,470,776,863,073,186,884,338,529,524,505,166,950,138,106,
375,398,696,401,970,315,333,514,664,470,065,452,147,554,567,035,531,287,147,
414,308,918,013,773,130,080,373,892,096,422,340,698,121,562,532,027,809,394,
908,266,594,575,481,802,483,693,447,616,938,908,108,271,399,370,044,078,884,
103,550,368,426,494,998,415,549,540,143,994,686,933,708,672,137,048,798,230,
687,311,805,510,368,052,744,089,496,206,779,192,115,420,425,176,674,340,690,
934,800,322,600,650,011,500,725,644,821,119,050,027,461,354,772,886,808,738,
410,911,778,939,489,905,374,811,828,404,693,384,878,280,019,890,154,400,586,
908,944,352,023,690,172,563,656,013,603,426,349,038,587,626,955,435,078,109,
039,338,427,311,234,267,216,139,157,097,249,102,373,157,512,510,141,551,400,
443,117,139,272,074,981,817,371,080,437,416,706,094,004,870,095,694,835,865,
611,386,097,565,835,314,151,671,918,538,575,940,431,919,202,583,015,658,859,
319,646,717,611,453,495,078,469,594,143,725,930,558,316,988,248,590,912,824,
719,466,066,886,328,400,136,670,728,616,743,973,050,701,915,349,396,296,357,
191,785,994,480,340,363,956,892,758,148,355,793,023,787,469,025,294,597,591,
696,074,297,814,565,754,374,605,115,692,058,368,201,360,653,904,026,069,828,
770,379,981,610,759,166,495,676,400,562,429,219,574,810,899,357,167,566,843,
049,164,034,025,458,949,569,141,608,878,334,370,277,096,417,675,653,929,846,
325,448,284,737,900,341,047,010,249,794,195,377,088,285,584,288,723,924,252,
412,878,721,353,516,466,348,662,604,047,929,444,246,017,809,825,777,359,268,
462,617,371,808,767,612,817,926,921,168,568,488,330,202,845,466,404,596,272,
286,630,132,795,947,487,939,394,693,109,156,497,781,612,876,207,712,255,778,
594,546,804,752,674,467,387,763,471,818,537,011,719,849,804,005,286,546,139,
799,789,260,815,807,471,148,094,382,849,717,713,375,455,555,939,123,966,858,
784,752,147,904,725,305,941,396,445,089,204,522,910,012,128,389,173,584,966,
376,654,691,976,729,193,506,722,243,275,731,591,925,758,738,725,179,792,556,
781,247,035,269,401,636,096,440,701,348,905,496,082,559,819,163,034,765,568,
987,947,750,111,483,863,715,434,345,404,920,183,740,689,937,439,386,297,223,
191,454,965,334,718,448,994,236,740,267,687,231,785,045,542,667,600,362,208,
518,818,510,824,577,569,057,755,753,556,127,957,858,721,009,811,187,686,838,
701,286,778,475,165,857,477,093,793,276,271,252,200,128,776,255,068,659,462,
372,945,818,509,844,930,278,417,955,996,255,104,288,609,301,100,393,479,600,
017,496,220,440,629,479,254,905,551,922,262,753,697,798,072,318,053,568,941,
111,971,422,074,195,326,454,621,495,722,816,725,964,984,408,937,519,999,052,
513,408,079,842,653,311,428,469,203,091,679,561,793,561,963,289,487,291,826,
680,355,116,622,033,517,523,655,712,324,736,977,402,467,290,898,655,936,556,
960,326,524,308,050,965,302,638,287,366,012,077,057,835,842,565,454,074,039,
660,566,072,616,184,473,328,333,798,489,762,913,875,850,365,827,817,519,525,
464,298,926,785,941,329,039,629,194,443,882,766,463,227,784,555,029,459,763,
843,149,367,753,613,024,766,546,448,272,659,363,452,970,394,117,513,552,960,
261,178,403,783,793,477,747,241,773,266,724,640,838,790,370,663,547,640,376,
673,550,689,607,890,796,201,360,271,921,315,837,395,678,820,138,355,446,254,
697,176,288,713,002,830,601,274,970,629,706,651,269,446,871,700,713,666,474,
867,139,311,764,365,609,235,041,716,141,628,881,095,839,366,537,965,059,276,
761,859,811,958,544,000,503,255,969,479,586,376,967,439,989,480,294,262,681,
522,452,586,073,353,631,396,543,999,641,688,686,377,991,074,411,465,413,835,
882,806,026,815,053,685,333,496,957,903,931,572,192,154,485,199,646,841,123,
263,808,945,465,953,469,509,997,468,076,583,874,176,572,406,663,647,594,847,
930,062,186,089,301,668,606,895,377,190,716,461,894,915,204,417,338,534,687,
229,136,677,512,265,391,512,153,462,812,698,618,660,265,199,138,169,499,973,
620,573,047,821,322,585,998,965,713,091,855,399,912,248,534,571,510,369,923,
954,310,082,083,817,859,460,650,104,064,316,171,406,289,521,339,857,146,312,
772,809,683,095,629,220,333,560,175,328,441,721,463,559,896,584,809,161,735,
899,100,058,580,385,185,007,968,757,298,701,956,619,747,243,287,141,541,506,
701,377,027,949,019,809,904,657,196,629,012,460,789,064,226,266,183,697,611,
252,738,054,370,083,026,048,152,183,509,540,929,636,987,828,547,609,240,142,
705,677,687,389,357,862,657,212,110,636,187,301,592,369,253,554,646,654,910,
243,533,764,766,722,149,259,863,704,521,502,021,208,293,135,450,302,413,440,
143,298,589,418,539,138,264,516,619,674,193,899,192,788,956,420,672,199,904,
097,782,754,589,596,199,918,988,883,685,073,052,508,941,108,201,643,675,085,
527,648,307,342,020,511,198,124,730,223,575,064,458,892,174,065,668,315,909,
121,924,415,307,099,026,045,280,882,766,468,117,229,735,165,204,638,200,299,
362,098,248,808,856,545,739,503,049,955,703,111,909,621,545,337,828,534,608,
408,756,933,353,973,073,919,386,799,763,951,533,744,936,708,219,633,764,158,
144,164,803,079,465,881,389,166,798,407,066,869,033,558,582,351,977,437,865,
473,373,134,016,108,767,738,507,196,597,421,338,071,767,893,271,383,256,930,
016,571,771,876,320,241,986,847,300,589,767,554,531,790,405,659,643,032,789,
055,498,540,428,268,991,172,322,366,114,915,632,029,935,804,579,550,601,221,
175,015,512,049,777,982,788,640,110,800,085,803,474,606,186,021,306,855,499,
693,242,094,703,877,267,153,071,557,853,171,749,215,672,236,876,353,959,166,
088,933,955,732,375,457,416,825,023,369,199,540,743,140,363,581,999,418,299,
016,817,262,648,612,250,924,403,245,339,144,973,352,935,231,103,437,110,764,
647,847,767,963,533,258,247,669,796,727,564,449,784,072,132,059,715,547,165,
147,227,683,247,458,303,853,655,091,354,011,653,335,210,990,318,193,344,047,
969,000,828,434,878,627,933,794,888,645,065,541,052,920,392,415,418,305,598,
641,216,959,757,851,384,899,290,870,181,787,402,630,316,325,104,707,840,969,
518,252,768,789,712,926,301,744,728,724,857,920,549,747,717,687,152,161,683,
033,599,793,729,836,476,011,610,025,466,048,308,138,218,503,919,072,110,467,
621,289,758,328,537,854,988,536,341,040,932,205,949,059,474,178,780,016,503,
034,564,966,179,448,987,357,674,406,378,868,274,149,582,241,695,390,030,054,
511,663,023,494,773,166,299,748,938,185,701,205,627,479,376,505,010,602,605,
012,671,937,972,754,901,072,307,017,092,507,852,924,249,011,403,038,347,004,
348,801,462,773,280,536,637,296,125,886,885,736,814,462,015,795,528,314,984,
816,793,027,739,680,092,623,891,891,132,605,276,227,789,526,238,944,924,040,
223,096,746,704,933,230,344,904,729,537,454,417,461,749,302,899,471,402,418,
045,728,972,106,918,363,979,179,717,841,575,300,344,420,809,934,332,697,567,
223,329,059,148,497,927,847,197,771,566,183,445,021,247,286,469,224,103,292,
052,824,781,830,875,946,549,172,264,983,695,104,467,774,939,448,047,375,515,
593,660,020,217,074,761,857,544,813,711,038,318,183,062,457,678,684,836,335,
083,633,078,470,523,542,442,012,436,942,191,888,193,785,800,608,339,633,087,
158,555,451,574,319,183,926,605,090,113,411,998,693,706,214,089,931,465,555,
204,834,254,774,734,479,364,191,994,103,248,274,016,449,508,934,602,463,411,
230,436,103,535,380,770,722,076,865,468,043,718,677,995,482,677,425,619,644,
123,773,048,753,146,297,633,992,245,573,457,402,582,427,728,756,231,864,083,
422,632,859,216,002,485,409,665,552,621,130,815,810,473,966,812,592,618,560,
400,422,032,833,088,227,089,137,712,025,731,515,540,367,656,670,246,365,095,
217,396,986,319,927,213,471,271,846,321,323,321,165,522,349,118,969,014,867,
282,262,641,662,054,543,666,221,762,521,213,987,525,426,014,596,215,387,884,
296,568,609,336,643,931,321,321,456,403,321,054,947,769,882,474,203,198,594,
298,332,996,928,430,003,586,097,410,896,984,775,722,023,111,888,962,943,998,
080,643,652,921,512,841,298,509,475,733,820,971,310,349,286,658,354,504,426,
422,502,436,868,172,342,337,172,197,119,348,377,670,074,042,680,564,032,796,
427,775,961,765,209,024,720,730,218,250,210,089,588,238,386,052,545,084,234,
079,813,773,649,782,534,403,391,411,857,890,264,817,905,873,508,783,132,439,
647,812,750,131,221,189,530,727,605,096,657,429,334,496,717,152,157,225,170,
515,322,799,872,190,853,269,500,459,844,785,820,512,224,671,340,664,112,073,
348,194,870,629,589,447,038,596,651,650,075,365,090,034,711,793,786,318,056,
069,254,993,622,275,449,451,189,737,522,186,214,824,290,506,722,036,414,809,
448,228,486,552,258,308,281,409,650,087,415,746,403,127,084,192,054,080,558,
003,531,833,267,243,505,248,452,950,380,258,788,904,687,255,041,372,920,638,
391,245,507,844,128,340,018,964,872,021,127,959,647,311,760,460,607,998,670,
264,584,266,839,227,933,741,829,315,590,744,428,236,864,975,085,364,517,652,
886,621,178,060,570,956,724,616,738,111,833,223,390,046,598,318,194,547,673,
184,999,919,192,529,309,997,927,001,347,843,907,571,967,205,317,795,044,324,
727,152,717,185,095,751,609,213,963,146,985,896,119,828,577,088,843,458,016,
356,224,393,520,870,358,174,459,916,700,381,602,716,907,247,528,923,403,649,
429,520,031,120,771,154,870,076,833,221,532,009,891,096,572,788,981,508,733,
541,047,198,176,695,749,567,425,207,307,409,640,244,958,572,337,093,417,567,
294,662,541,536,831,537,096,297,490,884,693,929,852,145,608,759,565,057,529,
769,564,914,242,046,424,014,324,078,622,545,369,641,109,511,022,203,725,061,
134,330,871,120,570,971,425,954,012,310,158,676,168,552,227,635,627,156,226,
193,292,411,588,819,702,966,522,918,830,864,097,663,738,964,210,417,685,451,
018,773,896,453,257,522,478,630,586,299,633,299,383,845,849,506,362,769,219,
954,853,689,245,428,426,301,074,187,374,247,656,003,155,596,777,796,913,001,
658,534,678,891,177,132,953,144,755,434,954,031,873,182,270,372,815,575,977,
534,480,766,602,493,427,918,342,722,471,644,527,469,528,037,310,599,297,315,
123,600,927,418,036,001,678,841,933,811,357,592,046,020,264,996,721,888,067,
859,211,071,333,559,125,773,600,634,133,879,106,909,823,613,132,583,773,537,
428,025,863,151,159,767,124,151,918,819,808,997,349,374,696,277,378,160,003,
745,689,462,602,350,196,845,238,778,282,528,633,405,009,426,446,431,030,148,
533,602,082,517,525,826,693,317,785,379,826,933,470,090,347,140,212,897,890,
860,098,656,435,689,588,784,039,161,466,871,911,148,001,392,899,076,109,087,
013,654,480,879,483,670,661,193,976,041,341,671,034,112,374,155,986,417,149,
260,396,471,881,406,019,613,903,432,077,845,246,454,884,017,555,283,424,274,
209,967,674,501,223,176,798,435,308,640,806,414,613,118,683,809,450,765,322,
438,255,474,183,524,230,652,793,703,250,062,903,559,241,241,292,790,793,258,
565,593,542,023,631,410,253,855,176,985,173,192,114,821,790,887,311,868,081,
120,687,179,645,114,722,933,305,562,775,268,688,009,446,113,895,780,677,518,
665,878,293,858,496,538,110,554,308,526,307,021,437,005,849,077,410,292,895,
996,937,314,524,758,692,580,280,498,570,441,875,543,042,285,248,862,188,516,
578,371,426,724,192,969,770,733,323,363,367,320,264,510,834,016,107,147,210,
729,449,979,017,939,131,831,546,685,586,831,074,349,402,355,888,211,041,816,
701,971,336,649,179,893,215,118,549,760,283,617,426,146,253,556,854,788,729,
638,979,312,611,671,279,837,426,043,601,293,869,180,319,051,431,783,162,172,
108,756,098,876,220,805,536,882,154,746,404,228,554,376,724,692,001,950,753,
985,146,363,156,678,803,500,816,768,409,851,747,437,484,123,934,972,721,060,
298,357,439,552,979,399,289,171,408,104,569,177,209,867,789,699,437,160,881,
424,793,572,679,235,926,399,108,311,334,703,265,599,927,593,778,872,028,550,
691,608,688,221,182,480,644,292,399,648,704,688,913,824,357,001,491,124,740,
145,345,327,430,854,495,783,033,626,019,688,556,924,646,019,435,559,677,585,
198,423,678,484,591,272,216,927,653,452,338,257,661,498,949,170,848,297,010,
966,290,174,275,984,396,016,505,644,907,549,659,275,876,834,077,837,108,858,
734,811,706,974,734,350,188,953,385,872,539,068,887,267,062,913,386,765,167,
291,202,833,011,775,062,973,856,970,473,251,572,067,774,748,820,106,784,236,
512,636,414,177,973,018,793,901,723,499,375,629,890,609,192,840,405,176,303,
413,899,064,437,632,764,723,267,919,430,023,551,810,313,746,636,279,015,948,
161,971,439,336,556,491,553,972,921,718,707,631,276,481,008,269,009,056,953,
881,198,894,803,036,129,511,123,157,716,741,918,122,528,166,237,823,307,012,
466,288,250,303,964,885,153,273,088,920,145,039,106,207,919,365,398,027,326,
927,218,721,202,217,853,879,902,375,575,517,233,935,331,433,944,590,286,690,
763,496,845,147,035,761,871,110,616,713,213,653,358,105,856,177,928,524,019,
874,265,975,607,609,494,206,403,441,114,095,929,007,250,446,791,002,652,627,
187,561,918,838,663,687,053,592,524,729,585,802,304,604,770,814,269,396,046,
998,377,161,381,432,115,136,029,653,603,369,731,108,552,409,331,005,714,814,
017,438,544,335,837,284,673,039,293,711,859,006,690,130,689,600,560,291,378,
189,242,202,357,366,640,790,691,405,678,262,165,552,532,293,135,349,553,001,
228,424,349,648,579,599,299,140,656,080,905,223,331,619,199,542,040,028,977,
748,138,289,487,441,978,044,208,972,368,941,158,782,950,663,107,032,232,893,
479,723,626,727,835,898,448,921,751,032,813,696,213,406,237,551,012,787,523,
149,107,075,244,944,897,627,078,851,553,070,325,218,631,288,039,318,653,535,
888,973,743,726,217,361,689,039,778,131,624,379,726,110,375,936,627,952,273,
816,443,830,532,175,801,506,989,568,357,557,951,127,389,212,462,498,778,397,
908,879,326,710,222,765,267,125,590,372,011,676,994,386,604,203,946,228,337,
970,739,679,336,958,106,939,556,818,467,853,902,555,216,876,523,546,152,127,
637,010,766,993,015,015,043,993,931,693,279,933,969,197,865,873,920,060,849,
587,258,494,231,546,422,167,404,099,217,937,653,950,801,121,068,854,543,714,
994,993,214,057,959,319,396,320,708,646,556,738,586,237,055,389,448,906,067,
667,168,536,458,136,662,576,522,968,310,278,715,795,668,904,281,301,308,276,
883,686,191,521,396,390,774,510,478,950,336,089,315,142,777,613,158,527,900,
417,617,504,252,069,776,792,623,259,467,254,511,055,837,580,386,138,531,095,
982,703,467,086,053,094,070,699,948,240,751,845,912,290,380,311,185,788,688,
674,560,773,010,121,005,994,878,769,075,413,620,453,726,395,162,424,303,474,
261,703,388,311,103,661,776,943,327,871,539,468,307,245,713,428,003,328,289,
693,355,631,372,271,087,574,628,673,603,481,547,261,466,665,537,072,998,014,
535,933,958,812,059,562,963,895,191,338,779,325,155,192,801,114,168,705,640,
770,844,467,125,353,433,789,293,148,760,891,079,186,815,056,821,082,884,878,
524,069,925,854,291,739,773,443,929,018,602,974,862,940,553,943,973,723,030,
765,791,023,700,126,328,751,506,609,192,943,753,992,344,711,969,353,868,666,
645,076,132,155,618,599,050,525,902,649,084,961,593,176,798,004,565,917,934,
845,317,927,705,721,568,828,315,235,087,864,432,482,658,043,511,542,954,084,
280,326,070,388,820,350,567,932,295,669,837,262,163,003,363,290,033,144,526,
908,348,619,750,624,096,380,625,119,998,452,328,804,430,108,907,609,882,527,
324,788,386,498,754,861,251,395,587,197,853,505,161,807,074,269,767,639,934,
092,758,966,592,758,852,051,698,929,324,181,811,949,804,097,638,021,669,464,
373,043,533,859,524,890,177,440,419,097,849,451,325,675,975,326,898,092,941,
724,698,227,275,337,791,119,256,395,484,000,813,768,952,112,737,906,761,167,
770,629,909,728,357,439,120,384,601,258,870,196,023,679,268,976,112,759,253,
110,620,271,368,281,006,994,581,328,620,716,482,932,365,024,413,862,863,709,
074,117,847,898,854,119,085,452,143,475,583,383,176,688,287,367,496,949,135,
860,323,221,277,969,089,655,581,965,742,123,179,277,851,305,959,343,273,493,
706,069,897,335,133,351,244,343,491,330,409,892,331,113,663,121,261,480,925,
513,673,593,120,929,679,568,767,430,129,532,990,781,459,507,807,803,436,741,
921,427,297,746,636,323,035,427,856,716,836,492,844,132,522,161,658,545,991,
462,917,251,873,851,771,272,055,646,555,305,676,822,397,638,522,368,935,054,
056,335,246,910,843,288,953,596,304,504,846,532,316,085,115,083,936,088,529,
502,143,925,329,357,735,107,771,897,472,020,481,230,725,485,291,894,435,626,
584,925,053,219,151,886,249,473,473,692,888,439,173,453,158,839,945,717,747,
623,465,516,798,806,259,683,848,624,303,792,657,045,349,832,642,948,102,151,
268,569,171,096,391,154,498,025,323,047,301,979,254,318,435,043,019,859,578,
671,871,823,369,246,826,734,928,881,464,460,831,169,153,948,446,776,672,931,
181,637,461,091,477,817,744,828,641,502,067,708,936,780,048,992,668,108,749,
337,368,556,826,481,883,567,161,712,509,907,841,216,539,607,346,800,133,850,
288,246,405,820,944,957,010,281,421,796,756,648,903,213,884,697,084,846,906,
146,334,769,905,060,225,550,297,925,071,105,725,835,234,509,696,809,118,784,
774,175,858,553,183,930,891,911,963,904,046,451,234,252,749,908,981,450,278,
994,540,904,523,443,401,462,050,856,974,087,162,112,881,131,315,747,148,507,
845,466,954,553,806,369,141,755,052,612,373,407,566,776,890,861,596,748,976,
623,733,065,210,443,265,679,319,348,140,388,202,421,308,034,876,495,863,601,
316,756,089,318,013,448,808,971,907,270,561,830,749,344,440,794,092,230,421,
197,101,079,764,862,749,133,111,621,417,328,295,591,151,556,815,110,356,209,
552,817,839,662,855,332,953,508,732,691,403,506,584,074,675,284,229,858,683,
398,042,391,741,030,437,990,653,534,333,359,562,658,345,698,865,425,360,729,
201,677,066,765,351,399,802,668,841,110,687,871,586,897,676,618,559,849,857,
604,996,710,798,564,582,762,630,308,603,939,498,271,398,078,042,669,864,269,
522,817,168,131,341,148,452,760,732,275,199,596,549,077,563,506,768,991,757,
235,601,689,412,099,024,625,233,407,419,477,692,734,375,505,256,952,203,110,
049,795,129,324,149,233,761,149,134,924,559,650,800,384,833,513,743,441,085,
440,177,091,337,417,395,345,168,960,106,342,582,682,638,569,413,402,586,014,
808,599,943,436,761,348,248,625,747,810,057,791,808,454,643,898,937,835,792,
167,165,881,583,826,187,856,583,895,921,639,019,755,794,400,232,472,911,632,
128,296,886,192,731,597,454,148,786,380,044,829,283,275,011,539,179,856,540,
240,399,268,109,263,044,583,657,334,168,178,060,574,427,859,336,536,566,359,
741,166,507,418,451,512,610,323,103,407,253,563,714,007,000,200,573,833,263,
869,978,346,280,232,703,368,016,442,378,558,910,177,773,438,707,254,675,046,
632,069,670,468,702,498,741,006,327,926,134,593,207,211,373,029,494,171,714,
774,744,369,780,677,106,722,748,460,996,667,681,129,639,816,338,001,890,601,
627,163,688,660,302,660,550,853,598,018,417,118,348,027,790,613,357,375,997,
286,290,373,314,012,512,279,192,862,981,864,075,940,602,788,041,024,711,104,
680,812,486,552,688,609,100,139,619,753,624,707,828,892,116,249,894,312,504,
915,908,243,635,803,690,243,278,143,821,109,560,105,585,732,988,189,664,569,
077,819,555,435,553,208,996,219,564,461,479,235,904,488,915,979,707,786,686,
778,605,458,634,392,490,279,900,025,342,939,896,274,064,391,974,162,121,964,
358,613,931,325,043,615,910,654,948,755,684,018,623,106,909,105,526,319,931,
017,650,737,302,564,897,258,861,414,382,430,054,981,994,643,899,831,723,503,
638,288,270,755,256,262,503,397,951,902,997,646,277,668,288,253,570,637,881,
009,827,849,835,376,255,152,049,322,846,201,476,142,354,885,859,387,136,085,
869,774,005,552,526,681,507,636,541,194,724,932,402,079,453,237,006,968,419,
862,137,513,591,073,282,145,506,028,100,133,958,616,424,769,656,533,092,035,
967,669,323,027,636,433,527,160,872,792,882,637,204,752,447,389,561,893,160,
698,940,187,157,568,925,877,382,121,876,794,496,578,439,050,001,434,745,871,
731,636,381,021,508,400,096,143,485,205,514,418,598,748,933,977,713,954,284,
135,701,184,062,444,606,099,043,269,826,315,707,335,042,178,458,141,103,823,
291,432,339,011,541,314,490,336,335,347,423,390,210,775,547,043,621,864,679,
300,247,147,964,206,770,848,629,128,287,766,552,783,817,089,357,784,661,832,
013,559,511,446,798,876,953,999,519,525,081,184,044,185,929,959,075,388,868,
377,894,217,948,210,494,663,384,204,089,594,830,447,041,255,300,868,376,222,
522,785,394,329,066,769,734,691,900,702,439,041,704,708,081,625,296,607,193,
825,838,272,864,234,664,798,768,062,277,292,607,114,804,269,096,295,171,081,
649,002,607,972,104,990,883,209,651,454,801,493,157,390,796,996,697,782,604,
004,178,570,134,330,658,571,066,691,836,415,311,349,784,506,647,456,161,048,
527,528,436,253,909,914,667,580,871,913,351,509,461,519,737,839,692,140,700,
229,996,813,877,535,631,839,202,508,972,153,213,522,464,986,987,247,032,080,
876,370,518,687,689,335,869,934,758,370,730,962,522,573,974,313,874,888,103,
644,986,747,210,761,292,447,086,164,935,697,126,949,950,995,827,012,384,431,
743,799,650,460,528,220,533,279,558,987,870,820,364,246,205,912,157,726,597,
997,836,515,241,152,769,082,160,361,906,589,238,661,668,393,451,191,391,947,
355,480,022,161,961,073,928,852,455,745,583,106,187,813,442,396,666,490,023,
435,222,635,751,875,967,514,046,219,813,532,146,368,840,305,574,724,950,354,
024,874,390,676,303,134,988,820,993,735,699,563,087,772,468,842,926,459,402,
735,131,181,905,195,460,814,094,742,390,155,778,540,252,797,659,510,334,732,
932,490,992,241,722,279,078,034,254,449,992,100,943,635,410,187,802,481,041,
429,896,416,508,181,033,498,369,437,824,460,148,746,071,019,177,756,794,241,
018,334,246,722,104,325,954,736,118,108,310,771,083,929,458,776,713,500,278,
059,697,418,581,654,739,181,397,551,517,324,457,986,953,053,742,428,175,417,
071,599,328,357,851,180,093,110,582,747,970,814,428,178,507,086,958,730,870,
280,669,522,258,621,753,499,291,800,818,961,226,711,293,665,632,073,357,635,
241,651,171,309,447,117,730,590,707,225,782,378,323,300,469,675,918,686,470,
866,246,646,747,079,479,858,972,321,215,287,465,348,714,511,426,393,086,376,
353,873,849,919,107,683,832,680,920,356,080,956,173,371,384,752,962,385,094,
269,949,235,680,557,843,628,481,787,223,797,969,706,784,009,439,400,186,712,
588,106,244,384,262,313,620,457,172,339,397,823,966,255,811,013,595,528,008,
425,921,264,307,118,537,482,801,980,312,759,391,142,386,890,995,885,327,264,
866,605,848,944,287,310,265,276,736,716,398,448,447,213,922,482,826,263,933,
553,320,815,038,366,677,047,798,975,248,733,461,883,011,124,791,234,762,531,
672,346,972,008,950,090,276,373,485,509,212,948,233,247,811,671,602,256,001,
247,684,657,223,823,486,349,665,341,421,762,881,904,412,345,795,543,378,332,
673,110,379,925,032,730,144,468,664,642,406,489,717,064,521,451,028,140,002,
032,496,467,001,439,765,513,013,582,497,810,026,661,425,872,151,591,075,669,
700,550,729,816,971,907,464,093,365,247,851,914,948,664,829,736,679,291,203,
742,050,770,712,362,763,903,224,752,367,667,785,299,615,874,520,347,855,028,
638,863,852,813,053,261,781,899,546,762,735,769,211,931,453,030,389,711,218,
434,097,133,757,666,278,793,576,718,475,424,308,141,144,840,350,757,444,996,
560,506,634,870,674,737,539,169,041,907,002,898,164,005,516,799,778,834,506,
916,851,252,998,333,320,081,309,491,321,661,313,421,065,041,364,447,127,180,
721,423,561,076,370,333,023,007,828,055,085,208,881,424,859,298,799,967,390,
022,485,369,036,323,240,306,170,443,191,429,227,716,044,844,916,864,804,465,
065,396,058,746,014,161,672,830,202,944,665,598,962,177,317,472,019,269,803,
752,483,640,458,729,004,923,189,360,402,575,700,092,388,931,133,081,602,248,
150,340,077,598,594,817,807,064,513,892,013,313,739,380,263,887,343,273,269,
020,257,461,753,734,972,231,623,349,789,419,114,542,249,032,262,409,988,069,
647,046,592,828,301,756,640,255,739,803,644,492,416,679,695,181,350,869,558,
514,145,984,049,319,788,814,854,761,632,327,036,131,559,618,951,049,490,178,
343,890,986,847,491,765,363,016,332,619,075,250,196,587,223,578,499,912,345,
863,052,832,074,417,319,165,734,870,594,788,546,825,289,558,816,154,062,463,
873,230,571,948,448,013,970,622,924,586,376,084,695,263,342,077,879,329,249,
476,210,366,296,380,208,532,651,007,658,037,634,678,313,496,732,513,771,116,
091,839,164,503,088,816,980,443,338,100,846,149,150,166,435,515,429,239,559,
228,725,172,749,824,501,375,491,236,732,670,949,697,274,472,003,801,485,887,
007,190,930,341,641,484,791,879,707,803,444,850,068,037,035,621,359,710,859,
744,596,956,234,517,975,087,944,997,763,772,831,273,676,815,387,473,795,356,
415,243,770,053,642,557,850,750,982,307,152,346,365,937,251,340,630,176,041,
400,082,752,592,136,216,072,804,705,080,104,178,979,037,374,846,324,204,744,
596,365,456,012,217,080,540,217,561,018,587,370,973,839,994,070,504,986,220,
903,357,604,227,393,456,304,757,611,087,020,570,280,909,230,012,750,015,332,
416,626,152,541,886,587,128,941,397,258,454,148,532,616,314,542,323,213,178,
887,509,021,294,690,381,645,618,761,444,202,047,681,796,743,872,087,622,384,
531,863,189,757,667,731,919,618,909,026,357,551,604,161,506,634,246,428,631,
196,128,922,623,557,773,487,390,573,096,681,920,177,634,012,366,159,103,029,
642,264,058,148,015,331,279,470,157,588,776,152,040,563,593,759,244,576,137,
228,358,773,496,790,119,217,473,922,778,162,280,737,131,341,799,281,064,434,
053,204,714,284,160,631,166,913,508,457,814,306,025,169,505,297,898,181,232,
178,412,081,238,379,398,039,601,673,105,254,583,297,482,338,434,947,958,669,
920,607,620,868,039,616,987,924,167,101,613,720,887,671,651,278,498,436,131,
343,901,233,531,815,898,263,324,249,639,365,590,860,631,962,509,945,521,005,
231,394,182,380,922,575,830,024,581,716,938,621,270,764,548,685,046,662,739,
991,980,756,324,328,894,640,709,387,770,372,229,299,664,072,593,653,958,836,
934,155,612,231,475,043,250,802,736,353,686,065,947,798,064,534,496,076,160,
861,916,659,132,735,335,021,943,986,676,507,791,422,666,936,844,882,056,070,
323,808,275,845,897,794,940,532,815,210,725,799,714,541,615,817,765,580,168,
048,261,663,834,770,069,173,486,085,988,586,152,466,213,219,998,528,156,686,
994,794,291,742,072,469,581,366,198,371,548,377,224,513,069,416,138,906,516,
329,147,608,804,096,389,198,934,275,272,732,021,649,879,485,252,989,929,783,
427,102,397,848,390,797,125,562,638,070,728,396,358,891,641,542,672,928,027,
991,579,265,775,466,677,825,991,755,672,341,903,385,422,973,001,992,733,430,
627,595,751,048,193,455,530,949,503,572,759,160,642,998,009,160,650,720,644,
166,728,691,891,696,216,884,198,121,928,195,355,944,765,581,160,008,034,872,
262,744,450,530,091,390,455,216,892,860,433,075,581,941,762,535,330,848,160,
935,943,798,968,268,906,339,506,006,937,292,783,846,569,138,760,851,004,891,
993,119,849,126,394,024,311,004,909,808,578,393,383,300,842,634,718,706,150,
313,059,099,004,392,756,547,801,210,895,551,115,230,369,270,710,071,661,878,
690,802,013,740,818,407,977,734,952,136,566,571,908,537,631,375,904,927,488,
149,165,906,529,430,527,124,700,953,543,619,908,357,795,565,463,431,337,837,
144,743,528,021,768,043,147,576,105,379,193,638,729,370,213,541,174,899,785,
353,071,905,083,613,110,678,551,727,452,843,966,774,265,176,582,660,283,625,
788,803,028,131,753,061,019,115,190,588,390,128,851,611,029,103,124,534,454,
133,153,904,577,321,192,324,724,869,902,285,625,564,234,480,314,748,602,502,
650,843,069,254,562,382,131,281,197,987,996,662,808,581,669,654,044,770,177,
562,169,541,962,334,397,748,131,910,162,247,265,158,122,359,272,393,556,369,
566,464,813,225,955,950,471,603,867,360,393,064,469,729,359,808,310,070,541,
577,352,892,461,977,233,095,185,587,987,113,289,785,674,140,847,026,886,057,
777,002,520,542,778,038,797,984,623,160,073,084,399,816,286,475,805,212,488,
673,007,410,274,669,637,897,433,063,516,276,207,334,022,486,801,570,241,633,
151,595,070,241,321,173,548,054,646,364,021,914,416,046,872,929,668,712,049,
075,808,521,703,068,026,608,993,534,451,345,794,334,221,768,700,162,534,196,
433,086,026,285,593,522,667,080,802,739,936,317,151,361,356,218,818,624,869,
379,057,553,307,041,199,039,827,897,368,221,957,070,649,159,260,254,983,567,
701,758,584,869,525,831,973,525,521,683,214,806,677,186,171,432,309,233,304,
580,819,637,120,352,581,756,782,165,299,397,133,793,552,774,129,267,074,474,
004,556,884,847,983,335,145,784,626,104,926,865,003,642,829,235,886,860,819,
959,725,132,027,802,923,865,531,444,036,764,044,535,208,182,727,060,323,751,
424,128,964,654,583,753,467,165,090,478,002,032,640,771,901,599,487,205,482,
336,918,836,060,716,037,025,354,840,792,162,578,332,616,082,805,344,069,515,
493,250,548,399,260,353,837,033,549,254,377,833,348,127,146,107,008,714,596,
269,149,738,401,101,148,089,248,574,588,559,676,470,450,432,100,662,055,443,
280,624,649,983,976,888,252,380,971,048,263,964,042,606,541,303,196,494,482,
978,134,077,716,486,227,795,886,431,311,668,183,456,399,577,101,600,926,336,
168,820,934,866,074,171,777,742,104,583,684,301,028,231,140,315,164,083,223,
784,103,729,839,778,080,943,650,636,031,952,036,413,401,908,838,182,008,569,
662,634,449,637,695,677,955,628,666,872,190,892,022,920,598,890,482,694,766,
751,556,646,712,880,226,681,979,789,944,085,224,464,062,742,522,394,631,142,
718,350,796,653,636,482,404,444,547,561,161,488,082,578,381,266,640,676,591,
369,942,248,726,590,566,760,962,085,269,046,806,828,548,176,109,503,164,827,
808,657,120,033,277,204,405,876,849,633,737,614,328,128,067,325,574,095,690,
627,214,138,401,923,162,188,087,953,825,868,754,504,804,053,756,252,994,353,
573,197,817,355,612,501,735,179,255,799,357,792,085,985,491,335,400,279,200,
846,275,998,032,609,762,863,155,199,431,608,632,960,579,954,422,367,875,526,
524,218,095,647,124,512,548,110,444,567,012,365,239,885,528,908,315,638,656,
186,324,616,473,348,674,158,335,767,607,873,023,434,410,014,521,315,858,352,
297,098,112,918,639,585,121,991,653,300,657,152,391,400,566,043,312,223,034,
284,874,867,670,931,662,392,378,722,966,530,389,340,355,530,916,358,843,138,
765,349,382,060,196,745,271,556,960,288,432,095,187,179,940,034,699,376,585,
644,348,594,495,286,965,926,280,058,120,630,794,625,998,111,264,065,795,316,
502,451,608,531,912,041,628,504,510,969,499,113,792,834,142,236,627,349,827,
790,133,475,158,803,128,499,402,039,456,930,307,903,801,294,871,614,383,733,
344,744,327,569,965,745,543,315,240,919,870,482,141,991,556,314,046,478,392,
962,891,186,259,048,290,568,116,828,098,885,712,303,492,698,426,095,878,990,
744,757,045,339,978,355,093,305,757,224,346,844,442,399,820,243,084,116,717,
012,181,296,157,857,204,209,423,540,466,984,540,600,477,369,149,582,949,075,
680,123,669,002,830,779,321,614,734,915,411,119,121,150,110,964,993,186,130,
435,836,717,124,956,000,968,299,580,892,113,005,601,723,365,915,079,902,967,
932,617,266,393,038,475,564,062,357,692,866,896,292,338,120,461,808,000,007,
276,960,364,380,032,846,457,655,226,904,391,609,221,416,380,887,514,673,403,
227,379,378,209,733,632,010,858,848,333,375,454,781,943,280,438,763,362,268,
066,282,231,677,998,001,641,176,333,607,811,813,129,475,597,656,431,437,238,
582,596,528,806,563,192,146,139,964,079,440,533,695,828,406,531,277,526,401,
335,383,950,850,057,269,960,851,553,763,710,766,230,000,120,513,672,630,154,
405,818,685,345,016,121,270,299,677,342,106,503,578,520,093,651,007,075,275,
731,017,336,680,410,958,007,888,079,029,952,700,594,936,030,608,449,789,622,
645,511,870,969,592,657,409,532,129,856,051,983,971,627,722,425,503,926,650,
899,301,725,190,612,843,122,485,842,352,961,989,565,099,094,913,843,234,043,
891,291,700,585,080,064,522,118,334,803,155,070,434,303,130,193,679,333,599,
906,748,546,495,660,270,045,015,326,076,482,054,485,559,315,213,966,650,211,
504,812,786,113,229,971,341,416,986,290,031,493,626,370,576,924,893,596,607,
308,286,622,025,672,091,123,552,423,123,602,208,748,816,363,892,942,225,234,
853,334,295,674,900,965,215,097,218,867,356,759,294,261,171,763,501,081,263,
850,766,142,946,892,364,950,564,175,527,499,850,897,317,299,050,287,745,805,
268,333,603,448,515,299,529,664,422,578,327,280,021,811,930,200,487,956,629,
567,226,212,739,906,774,467,208,769,109,374,065,297,741,300,103,030,953,968,
104,696,285,526,743,030,041,515,127,864,696,789,473,118,110,873,327,991,741,
449,007,095,644,585,289,234,133,431,167,161,157,747,078,089,525,810,121,654,
859,578,538,329,410,267,398,309,179,934,668,054,454,081,413,787,481,107,458,
875,715,141,415,808,033,029,282,317,761,381,414,434,992,119,531,715,095,052,
136,290,283,560,509,618,317,064,581,272,409,546,260,579,948,523,065,926,881,
262,403,814,796,540,865,497,698,964,304,772,607,295,895,899,026,193,842,629,
941,318,294,296,909,389,376,386,005,298,188,174,047,729,830,373,623,191,315,
187,738,750,526,160,996,032,793,878,959,295,763,512,711,547,922,138,111,215,
778,547,860,147,120,654,032,779,951,867,074,468,080,683,806,676,964,355,263,
614,005,375,789,831,908,285,493,247,014,661,569,382,479,293,271,450,291,371,
942,929,748,054,886,491,533,704,802,760,841,276,691,639,609,858,593,724,413,
010,074,852,820,203,902,522,632,189,079,362,539,438,083,476,469,078,667,180,
392,604,617,141,707,430,662,774,273,579,701,610,614,472,936,804,317,405,683,
624,247,220,879,582,925,242,669,564,232,672,138,942,866,423,350,078,104,363,
564,363,754,726,320,885,345,609,663,419,591,818,555,969,599,592,025,992,476,
074,130,281,536,564,023,058,751,318,723,510,819,526,679,188,969,789,119,402,
132,277,847,115,925,019,673,078,419,659,232,657,694,304,636,241,308,133,473,
530,705,122,164,040,431,085,504,700,951,870,543,417,915,008,031,321,468,097,
922,406,283,313,962,823,944,399,342,986,431,180,368,418,155,913,939,468,202,
756,092,943,700,333,362,924,317,275,197,679,483,647,673,116,513,279,962,668,
700,127,043,886,398,885,709,686,114,371,506,352,270,013,764,342,961,448,927,
825,235,637,138,053,779,130,588,065,196,826,640,944,950,313,244,521,307,286,
138,094,858,483,406,446,434,792,989,486,636,877,251,883,781,862,167,028,128,
873,179,206,906,735,103,743,309,245,032,916,407,265,994,817,068,858,955,011,
581,137,111,783,813,859,926,680,169,568,220,397,690,742,966,208,437,198,927,
333,620,781,926,032,728,495,905,408,968,728,451,086,428,917,105,362,253,692,
620,971,079,280,654,290,655,320,766,964,095,258,908,753,500,535,266,565,102,
922,912,074,570,969,688,709,932,737,145,392,996,259,698,569,309,997,574,764,
369,277,023,187,848,094,793,341,035,882,216,420,159,237,508,063,350,868,435,
986,585,771,908,954,922,893,381,984,665,852,817,251,172,844,889,381,951,413,
967,795,089,804,217,089,413,082,863,721,449,059,915,764,956,465,972,960,753,
628,682,564,358,761,482,579,333,738,252,176,555,789,868,976,219,966,729,825,
428,883,872,775,085,608,983,161,512,746,336,832,120,577,708,069,186,102,010,
823,606,059,945,859,598,242,576,066,866,664,982,138,121,571,854,232,508,913,
202,642,385,538,791,782,003,268,247,758,508,501,762,803,390,307,625,917,752,
684,053,705,442,917,420,289,647,239,318,127,504,872,605,270,564,498,042,947,
036,403,217,632,267,834,361,480,687,243,035,071,413,356,341,302,484,124,639,
985,419,205,683,355,645,358,332,826,246,162,521,987,346,638,712,718,897,510,
701,312,772,639,432,645,840,543,281,884,585,649,543,643,717,952,235,860,737,
715,509,732,997,801,669,300,779,151,304,777,591,624,885,392,320,874,276,228,
545,205,180,462,881,972,687,079,389,444,873,781,382,448,871,662,697,517,367,
079,773,733,451,266,902,152,085,837,371,422,097,678,958,783,870,086,892,577,
901,904,936,961,601,037,050,246,601,772,302,967,267,056,721,254,664,968,427,
617,330,768,558,051,862,667,875,465,094,422,452,313,589,380,511,098,211,737,
736,569,756,056,418,649,667,943,711,631,043,685,838,566,726,406,127,002,465,
911,481,746,613,649,128,093,458,022,021,379,690,783,464,136,149,900,890,607,
628,894,959,359,124,708,181,382,092,036,101,186,421,539,555,552,016,747,748,
249,180,411,249,618,907,344,958,084,607,227,060,602,366,167,677,447,838,965,
853,857,091,914,607,382,431,246,855,657,265,988,740,334,800,617,811,147,346,
652,280,902,463,292,911,221,959,266,105,145,367,335,754,578,368,642,137,832,
062,754,316,291,101,826,052,433,995,206,740,011,356,629,647,300,766,191,676,
779,953,518,394,295,432,421,868,264,105,404,337,798,553,881,162,218,968,443,
549,471,306,270,570,405,283,312,120,993,137,079,433,194,535,111,835,770,856,
608,004,147,607,640,216,294,753,826,982,929,594,973,174,056,572,911,207,227,
013,566,203,799,350,138,206,278,177,766,925,830,269,215,895,619,242,775,128,
682,093,562,884,821,896,712,127,371,827,281,062,568,891,117,386,800,747,233,
600,770,839,399,069,634,381,873,590,408,061,003,601,029,372,883,138,653,628,
788,292,923,002,573,657,768,838,441,817,473,457,453,547,075,596,396,766,666,
341,629,685,453,971,676,377,269,953,684,242,115,188,628,975,699,643,035,883,
945,736,510,745,381,849,991,805,821,238,961,080,784,157,330,849,536,009,556,
560,810,750,877,415,572,696,399,569,866,819,440,708,030,697,011,861,918,254,
921,746,919,969,689,465,315,138,937,747,205,321,101,804,033,079,514,372,937,
031,251,364,809,784,533,292,251,489,105,823,778,894,380,965,260,195,329,624,
181,807,576,032,061,880,447,125,651,329,746,119,808,987,207,665,253,620,276,
683,469,415,839,916,766,844,292,770,946,053,692,723,184,101,753,818,159,932,
387,002,161,932,487,208,867,597,439,062,728,905,600,901,124,667,776,910,536,
694,551,400,538,849,445,500,902,173,713,985,026,179,044,385,314,352,732,419,
189,464,394,106,172,580,287,765,675,528,302,093,602,215,860,312,563,797,722,
748,754,835,718,096,986,333,998,857,358,462,508,707,958,975,335,330,966,059,
702,988,239,286,283,353,625,137,277,991,350,566,473,150,044,871,085,843,258,
533,283,450,118,863,485,618,111,584,569,549,173,548,240,824,052,199,859,091,
489,929,996,270,945,021,464,002,447,623,899,165,195,430,695,416,561,854,812,
923,795,873,677,065,603,503,874,208,882,276,592,369,133,127,376,175,449,596,
484,548,772,573,726,543,113,379,104,574,166,689,196,694,942,606,393,102,824,
557,433,784,615,889,356,856,960,172,492,658,946,485,287,431,751,722,000,151,
381,201,372,567,966,811,509,001,903,025,160,553,796,816,345,453,484,018,534,
653,668,054,931,733,054,802,235,723,191,370,675,902,239,707,109,637,741,189,
499,729,096,799,747,412,072,935,316,149,975,079,682,868,783,863,100,396,415,
548,181,474,581,638,364,172,819,046,231,284,441,403,009,614,691,892,446,052,
504,837,395,959,057,476,837,057,251,172,547,589,031,838,208,890,088,621,885,
287,169,150,581,045,437,008,509,282,892,716,628,309,758,666,880,508,735,394,
576,900,684,198,310,128,999,893,660,691,629,910,573,620,974,579,343,017,316,
060,409,681,915,278,538,883,163,697,010,937,805,163,628,219,695,725,972,059,
262,494,162,469,852,394,765,326,810,137,450,153,240,825,807,631,321,348,588,
283,926,899,639,156,661,030,175,947,234,273,386,753,736,256,410,928,480,544,
172,634,808,146,490,456,336,370,421,399,722,186,502,246,690,933,443,415,315,
093,289,398,171,545,963,101,632,208,312,323,763,071,021,683,912,142,412,679,
876,785,138,235,005,895,469,817,248,247,626,868,705,268,672,460,926,260,984,
037,661,852,887,511,118,755,196,349,706,411,669,910,622,980,848,841,490,770,
854,393,283,959,866,322,546,921,721,649,229,763,189,171,065,354,872,946,112,
409,536,676,681,666,501,504,107,961,808,429,419,822,822,782,658,996,820,649,
116,779,433,956,468,163,147,711,697,602,231,048,070,864,054,196,523,217,069,
747,087,389,696,976,036,613,409,508,079,064,590,279,499,838,167,338,188,241,
692,833,708,787,611,192,722,587,259,762,184,827,502,862,493,397,718,957,125,
725,388,656,222,419,662,944,114,765,790,975,715,610,132,150,394,299,432,287,
395,903,848,774,579,988,323,939,935,704,774,575,472,628,430,149,214,946,338,
077,862,285,895,023,056,445,866,913,141,369,797,595,381,775,129,133,946,353,
375,233,583,066,168,089,529,054,732,145,480,191,913,272,491,378,143,489,711,
813,101,027,620,407,983,216,773,976,134,872,067,882,020,852,441,113,236,966,
385,524,868,059,153,948,584,405,947,407,110,639,882,790,777,973,066,062,476,
507,259,231,267,499,013,540,632,818,981,878,625,630,116,244,615,216,532,387,
282,377,714,524,801,517,161,178,637,666,470,953,218,674,749,342,902,061,816,
666,167,516,360,514,155,566,035,307,030,381,270,479,502,255,469,189,719,762,
100,627,266,042,777,616,255,282,639,616,329,757,827,585,788,215,679,461,828,
511,138,899,339,984,988,492,341,801,839,603,913,743,091,417,721,943,168,880,
147,924,728,555,549,336,156,930,296,973,178,289,080,057,636,651,552,884,700,
068,230,835,635,737,272,239,045,580,305,867,051,121,885,515,224,097,788,272,
435,563,072,109,237,300,940,618,891,641,823,165,238,177,725,872,537,678,472,
067,521,078,017,368,387,749,101,015,654,768,066,732,358,013,927,585,209,912,
474,513,408,116,288,948,779,625,823,538,014,614,432,019,076,616,121,427,225,
417,188,262,602,549,416,545,231,731,873,686,436,752,436,802,312,753,026,853,
010,589,287,026,770,075,722,553,776,693,296,624,769,324,727,385,989,907,424,
638,943,455,942,787,810,039,489,579,499,189,634,795,807,122,116,597,352,304,
523,159,756,853,092,666,619,987,876,932,300,347,350,198,776,324,258,229,003,
500,632,511,819,163,056,258,259,978,824,573,577,220,293,967,934,183,022,465,
894,816,130,759,747,622,488,939,549,817,531,690,234,769,918,428,572,803,913,
768,429,273,635,003,359,010,694,121,158,152,444,807,100,387,371,068,762,288,
517,595,743,071,611,050,518,740,718,701,269,222,311,125,801,032,622,207,151,
212,097,363,211,645,698,933,254,141,618,886,831,596,364,560,011,455,359,868,
098,951,510,713,304,996,212,471,478,794,460,422,503,493,661,980,972,345,660,
512,133,411,939,220,625,365,108,939,476,347,139,143,312,883,846,546,497,201,
795,467,473,360,720,484,827,256,429,201,228,808,892,479,822,901,627,204,978,
947,566,750,426,895,589,410,147,625,882,969,416,316,906,305,187,909,825,885,
313,105,995,705,213,590,961,396,720,235,583,442,800,943,885,383,398,172,999,
477,566,931,155,800,552,877,863,187,103,351,189,913,916,069,014,903,816,254,
926,820,803,668,381,941,853,900,589,195,680,996,749,484,594,004,754,387,166,
240,539,080,439,348,505,958,088,799,828,932,431,550,452,493,881,243,985,954,
303,436,574,675,650,889,572,636,355,495,396,436,505,502,315,412,058,824,902,
549,946,901,642,836,069,388,012,129,105,823,560,982,333,214,851,395,030,622,
942,472,377,582,672,532,422,859,256,368,183,572,496,932,645,959,756,726,940,
142,728,570,713,571,661,051,097,730,037,241,179,523,747,143,375,086,114,121,
048,318,549,732,875,549,860,347,964,371,594,183,654,451,254,156,040,071,050,
863,333,422,608,500,598,022,217,297,845,812,388,668,494,778,151,018,933,356,
458,403,080,491,613,562,357,149,198,929,083,277,156,977,881,798,806,663,443,
864,993,909,877,543,508,457,725,005,054,329,621,790,878,883,915,509,260,667,
699,492,310,684,580,410,738,909,878,528,021,759,381,706,586,122,813,239,323,
705,607,852,846,443,334,953,566,955,712,578,903,345,133,248,349,610,615,182,
675,968,551,712,138,193,322,717,797,805,825,868,149,560,672,766,782,357,801,
784,331,338,273,255,067,372,964,673,654,817,024,863,370,573,195,826,344,628,
552,800,012,028,951,508,732,971,392,066,678,176,076,874,864,418,698,585,085,
830,991,672,174,567,738,022,858,175,479,975,053,100,015,933,173,299,071,741,
700,320,073,329,633,612,408,773,800,751,656,248,252,448,910,200,901,681,592,
025,421,853,843,330,839,209,798,964,660,877,603,891,424,232,961,392,330,818,
758,108,710,646,783,076,908,492,532,066,912,371,124,811,773,360,052,827,755,
925,929,180,199,049,017,823,182,189,447,514,846,869,579,308,706,559,224,324,
387,746,124,200,544,340,678,479,224,316,787,418,622,109,813,337,980,689,671,
928,903,563,575,428,303,932,078,722,831,192,739,600,610,022,694,611,844,578,
077,019,406,484,639,065,917,940,446,812,046,503,752,864,408,419,888,452,705,
267,373,650,633,014,174,918,747,917,991,070,707,507,305,173,914,900,822,498,
365,325,304,792,964,521,222,556,757,359,002,309,922,604,869,690,214,105,634,
390,281,463,242,277,441,105,916,430,900,799,004,820,758,572,207,689,690,546,
413,022,973,317,756,275,971,400,333,339,001,249,816,415,557,718,251,924,049,
287,918,027,473,525,127,336,839,294,580,124,794,954,892,722,431,857,253,078,
589,016,487,267,691,150,885,681,155,186,523,804,230,982,736,522,261,816,935,
559,001,482,853,690,808,098,243,263,106,116,116,674,117,403,426,658,618,764,
003,903,937,151,111,518,191,517,342,954,176,322,070,632,211,340,125,579,206,
927,831,748,153,174,910,994,368,128,095,859,498,480,185,845,818,857,375,063,
562,960,790,635,991,148,598,495,346,036,002,861,056,019,460,390,481,724,823,
386,708,100,469,017,847,818,351,211,997,612,333,097,628,755,001,559,442,237,
628,871,326,906,621,332,213,286,643,265,372,411,559,775,180,452,743,429,124,
570,552,031,880,299,683,566,686,458,572,873,557,879,421,002,356,217,245,641,
511,264,186,449,825,339,712,034,195,181,655,395,486,419,901,457,118,070,515,
071,643,274,963,445,032,989,971,258,593,817,824,719,562,634,485,394,808,965,
211,845,311,864,550,385,306,160,174,843,473,059,020,207,358,512,387,618,580,
163,673,311,228,564,034,975,924,713,961,893,883,900,236,800,412,355,149,650,
772,499,144,594,464,356,826,848,763,774,332,161,777,972,503,004,086,574,762,
864,144,850,226,907,042,985,317,592,502,925,385,920,832,990,785,629,448,067,
218,281,006,048,772,380,690,391,974,978,849,204,181,430,392,516,567,726,678,
160,305,357,783,698,089,922,565,891,580,733,007,325,577,984,947,358,621,050,
033,636,036,789,370,514,794,130,059,751,710,646,513,805,475,581,083,064,986,
567,928,259,317,645,787,427,454,377,411,300,507,266,073,825,910,032,140,936,
869,344,273,100,388,539,854,365,949,187,874,615,751,188,181,038,424,900,197,
487,518,134,314,871,825,227,771,611,980,246,888,625,664,463,984,178,122,043,
257,875,293,615,529,137,598,158,392,251,648,660,879,180,187,850,991,215,187,
452,243,166,575,813,647,221,173,888,646,191,842,167,567,550,565,766,459,662,
715,818,998,915,618,218,400,021,206,530,585,094,638,709,115,713,904,953,951,
333,850,849,414,107,324,886,828,717,234,012,296,507,804,584,277,953,827,188,
197,074,538,697,354,501,247,212,412,634,772,234,212,173,785,698,119,900,600,
931,709,377,121,320,209,196,929,900,194,909,930,582,418,572,969,016,424,285,
739,426,865,739,664,771,364,792,663,393,488,502,752,217,236,502,989,907,742,
025,973,224,105,827,582,779,451,711,977,528,195,207,175,554,662,619,806,558,
164,951,000,825,165,751,788,212,926,952,171,249,631,367,618,690,932,145,627,
918,289,359,583,228,017,967,431,880,454,870,011,117,092,231,766,407,285,873,
854,213,377,110,144,661,762,803,001,082,468,536,481,054,000,744,882,705,406,
111,476,104,263,724,018,226,999,254,198,075,957,212,588,814,874,946,465,033,
926,560,499,529,184,554,812,671,575,528,739,804,613,831,045,301,785,073,785,
273,568,211,278,058,643,647,883,947,469,366,963,264,348,442,532,633,292,079,
585,631,980,097,143,179,035,034,794,555,119,426,244,824,071,049,271,813,398,
369,384,601,220,788,846,439,748,198,526,781,041,193,440,117,606,976,457,065,
714,792,029,883,847,953,580,476,903,971,406,044,186,491,572,429,087,743,424,
146,713,243,484,036,831,200,327,012,226,878,037,467,513,171,599,638,492,251,
233,939,795,456,015,048,356,412,652,159,671,834,853,361,921,347,279,982,416,
488,616,919,356,219,041,147,811,939,819,720,332,811,579,696,247,262,544,743,
012,465,846,578,969,332,678,519,027,853,591,977,633,298,711,918,026,009,686,
465,237,938,170,159,539,980,574,524,443,538,983,024,520,704,418,941,030,043,
793,954,001,084,662,014,150,804,126,185,203,565,788,764,038,500,444,988,304,
916,332,208,061,833,221,529,069,500,835,432,397,034,052,142,266,640,849,221,
239,492,103,253,693,307,317,457,235,520,069,543,032,456,560,417,666,849,834,
961,472,559,946,232,001,279,472,003,506,915,687,794,421,733,391,402,326,867,
988,237,082,876,351,214,107,769,237,778,985,904,849,780,868,855,517,343,023,
131,341,965,307,177,468,709,957,607,745,483,962,630,260,606,327,930,124,249,
625,680,905,502,096,124,658,080,955,413,337,563,574,895,565,750,315,889,848,
268,066,734,019,943,309,229,583,552,250,990,051,470,103,696,796,054,090,135,
744,185,003,700,016,134,027,792,856,953,345,186,365,131,263,718,495,633,577,
495,997,529,937,485,104,803,661,877,494,097,726,895,437,076,622,199,167,067,
661,130,003,407,758,036,679,200,164,822,244,214,949,601,248,927,656,527,486,
264,638,800,748,794,941,142,288,175,918,920,172,558,412,973,919,194,404,381,
785,284,943,807,951,447,174,066,408,026,099,089,901,160,767,606,520,518,457,
138,476,179,210,722,738,984,148,918,114,349,519,521,522,583,751,342,359,696,
783,955,734,975,544,357,203,579,244,741,426,893,592,001,722,004,654,265,871,
745,237,858,483,775,437,741,135,475,453,597,453,509,273,201,546,189,634,235,
184,883,800,825,338,960,118,264,695,492,769,678,998,434,066,286,717,776,831,
322,811,584,348,614,628,329,974,837,050,064,903,140,678,707,867,012,029,048,
399,437,350,115,103,328,662,827,660,549,925,189,007,876,665,184,993,061,304,
453,430,245,355,774,789,500,840,304,725,006,019,544,937,421,070,364,024,682,
094,791,112,513,933,077,735,417,213,854,556,966,631,807,911,969,483,603,295,
582,420,223,716,117,676,468,794,838,772,681,072,335,657,955,767,729,628,392,
092,719,018,988,357,595,961,292,463,258,554,569,182,197,256,387,143,352,081,
477,110,945,135,999,212,482,857,911,699,620,652,893,713,720,220,618,100,317,
491,769,712,443,427,633,031,230,875,221,566,183,371,600,219,303,736,495,096,
457,025,929,474,160,489,863,317,757,341,958,815,436,045,475,900,484,443,709,
183,513,050,420,121,036,097,379,871,326,494,697,882,218,949,523,552,892,354,
249,202,104,580,602,086,235,962,090,802,630,066,042,053,818,985,330,358,489,
058,030,444,254,192,506,662,344,764,366,350,504,200,359,895,781,233,091,378,
372,814,775,520,630,478,993,198,069,621,390,005,921,313,747,208,734,623,332,
973,577,389,735,047,328,752,478,184,615,232,047,930,278,860,093,814,265,865,
827,804,312,174,244,861,070,058,890,552,223,591,751,207,861,467,961,154,247,
357,163,326,741,830,100,433,677,747,941,417,762,332,357,740,110,917,771,790,
024,780,518,240,283,740,173,588,688,135,699,626,674,625,449,420,193,932,264,
389,280,900,623,430,813,137,482,351,841,381,955,471,531,854,541,461,722,059,
481,587,267,127,621,734,863,890,697,330,336,726,829,208,859,309,587,991,705,
417,797,796,546,292,162,815,476,441,886,186,661,890,853,453,986,965,384,161,
479,377,232,937,846,410,706,660,604,539,775,402,287,359,032,898,050,237,161,
579,118,393,087,550,432,912,993,421,311,468,686,259,900,968,199,076,019,004,
308,939,015,968,928,673,481,368,078,317,731,314,730,411,347,889,746,200,357,
989,854,440,615,126,309,537,924,712,978,731,659,917,582,898,617,344,032,552,
693,336,819,729,409,534,913,924,714,762,125,608,994,989,579,539,102,924,888,
578,470,723,559,671,963,261,661,936,408,221,645,562,052,905,085,930,463,054,
640,846,430,850,807,109,942,099,973,852,137,117,858,980,868,215,322,491,629,
987,793,073,493,738,588,308,197,829,430,699,203,305,488,423,305,053,186,807,
300,232,804,302,510,075,132,539,210,897,374,004,607,764,491,544,660,954,779,
113,701,432,619,100,837,251,104,648,609,795,327,158,747,721,525,077,351,865,
290,394,108,064,864,254,788,116,794,033,045,528,285,597,733,806,744,462,440,
261,676,805,450,823,618,252,624,305,370,107,640,630,625,275,163,880,425,221,
475,813,721,619,230,002,910,052,661,526,247,318,470,295,757,863,111,776,496,
010,059,243,969,721,476,874,331,542,555,978,366,590,777,835,495,748,176,918,
975,136,525,873,097,840,763,466,990,846,474,982,774,244,456,742,146,682,863,
617,553,813,717,420,750,316,684,677,062,331,218,277,705,393,130,142,188,786,
894,895,429,155,989,265,586,586,866,903,029,444,482,223,930,563,807,652,159,
841,071,952,750,730,858,568,227,833,626,149,942,012,528,555,305,017,632,844,
342,057,705,768,836,603,233,420,650,763,808,284,513,760,331,518,864,990,490,
379,016,812,864,139,900,322,738,650,467,554,436,065,456,159,050,281,900,250,
568,444,152,512,454,647,318,883,692,418,431,402,224,207,796,417,884,721,691,
964,028,123,836,863,929,816,524,552,421,888,708,517,711,926,556,832,520,400,
371,173,691,549,938,687,944,615,592,679,593,048,259,567,992,759,035,423,932,
010,041,900,673,767,676,499,768,120,155,962,569,892,122,254,554,596,903,524,
732,425,107,103,574,998,502,644,018,366,096,833,060,947,433,428,630,412,582,
319,308,832,324,690,710,443,425,001,714,295,831,893,989,157,381,756,338,842,
664,668,132,875,012,204,899,801,531,022,927,609,624,138,714,616,178,164,779,
935,466,429,830,559,103,794,043,048,466,491,603,227,909,339,083,495,993,000,
636,271,016,381,748,940,157,521,599,393,256,232,769,379,266,066,861,889,895,
866,847,730,845,391,856,773,366,359,799,323,555,827,777,759,877,341,142,302,
529,281,398,940,274,503,988,380,348,242,169,723,830,070,808,029,736,182,793,
072,086,727,283,037,117,661,517,131,788,896,077,921,537,167,501,334,245,682,
357,053,662,104,411,983,768,933,579,380,906,350,457,415,902,278,864,984,941,
876,667,270,074,649,096,231,664,014,320,755,105,713,487,410,188,454,665,008,
847,603,242,585,763,827,757,384,257,171,127,137,637,630,220,007,639,157,711,
909,488,965,068,651,014,188,638,278,020,756,309,838,822,330,446,035,758,916,
915,732,135,003,646,524,014,784,763,519,006,916,805,494,717,680,577,419,282,
107,248,939,148,648,660,672,994,162,922,294,075,845,025,421,074,079,716,550,
734,353,823,560,657,906,416,896,928,673,844,445,171,658,057,913,226,272,635,
665,925,063,021,668,194,594,007,514,630,462,711,403,852,174,287,399,896,294,
110,087,200,931,086,613,122,089,347,226,138,494,608,797,527,420,204,203,757,
412,594,152,762,363,371,313,220,619,807,776,295,850,529,471,549,856,290,586,
941,640,656,383,662,641,185,994,227,159,962,898,069,028,136,489,999,885,639,
014,659,192,145,172,023,951,418,435,823,488,903,029,477,998,465,472,230,085,
474,472,531,629,219,287,897,139,976,675,384,274,227,642,139,632,071,300,833,
434,998,840,910,440,929,272,019,833,122,527,961,075,096,371,779,126,463,358,
495,131,927,478,329,939,512,229,896,990,264,915,003,980,846,059,280,420,227,
505,689,208,682,914,768,721,992,600,949,791,441,600,979,330,886,887,599,222,
467,432,410,578,674,686,452,587,978,889,837,073,263,778,466,979,042,109,383,
079,517,152,708,168,192,809,171,267,587,476,209,629,039,031,467,066,001,142,
064,887,680,507,816,599,116,663,029,273,421,329,429,070,030,632,862,843,991,
849,306,550,613,027,976,864,805,196,995,079,788,810,967,377,979,176,405,396,
615,540,711,771,247,703,450,191,880,553,173,986,900,898,716,685,494,518,795,
106,069,429,711,792,784,632,080,838,681,936,639,393,440,212,775,562,051,880,
041,547,486,426,076,773,062,588,915,972,508,664,295,007,342,688,734,489,038,
553,831,019,123,703,592,467,626,070,395,096,686,304,434,259,293,212,974,454,
704,583,125,583,000,341,643,490,129,905,798,420,359,290,433,294,809,388,690,
847,549,727,986,145,240,082,375,613,268,669,830,054,948,861,337,005,755,039,
873,823,740,351,640,712,092,585,197,207,390,275,162,164,599,392,858,724,205,
806,637,375,126,137,991,844,680,348,890,937,201,117,476,481,469,814,180,298,
192,362,986,493,968,414,227,017,745,056,833,586,950,651,411,495,683,581,075,
349,617,922,628,681,336,863,553,050,478,304,133,063,182,242,438,564,295,099,
031,448,292,026,069,651,482,837,376,363,554,053,626,393,556,092,030,486,408,
274,030,468,820,066,040,304,128,826,618,775,193,491,913,084,872,085,437,108,
613,542,069,420,970,385,367,824,752,068,122,653,442,291,016,686,923,274,372,
044,727,854,718,917,845,848,953,587,928,346,391,796,684,119,280,108,212,323,
748,528,945,869,753,376,010,664,516,946,691,079,646,944,579,796,931,176,162,
130,434,781,114,729,167,931,188,552,595,448,124,008,633,722,415,811,706,556,
956,275,653,763,169,491,249,775,467,526,135,480,197,019,351,775,487,230,029,
953,000,146,911,501,152,013,864,131,401,304,484,175,103,254,608,980,183,356,
927,066,501,914,221,273,135,425,006,042,128,201,315,357,513,511,538,643,761,
823,626,671,990,609,346,688,075,623,988,400,521,240,279,816,555,470,838,431,
820,679,368,035,181,460,880,286,445,671,791,734,196,822,972,025,272,358,439,
746,961,722,946,408,771,483,591,560,398,299,102,900,947,119,396,900,659,043,
852,737,596,678,683,674,190,522,971,249,300,309,980,536,860,261,150,204,710,
586,229,980,915,464,661,525,396,883,915,713,677,599,866,462,723,005,777,143,
795,148,162,977,970,871,432,657,917,800,559,203,889,023,210,426,713,491,044,
518,740,480,078,779,015,801,073,486,467,689,292,465,822,518,699,554,589,452,
663,218,493,440,783,305,822,437,967,335,415,140,349,476,706,359,895,499,501,
046,114,798,120,527,884,033,786,792,849,963,236,030,020,038,403,807,614,472,
197,101,342,773,075,039,106,450,531,413,652,936,746,584,018,308,331,151,597,
897,119,782,101,400,277,092,537,862,412,062,759,263,491,962,511,373,452,369,
581,997,767,026,404,205,879,401,625,986,688,470,326,632,420,055,621,588,082,
558,191,569,366,374,143,799,180,089,833,867,223,026,070,777,016,988,396,323,
937,614,535,318,019,552,730,118,345,387,831,999,405,096,902,454,033,713,234,
721,059,695,210,876,687,441,111,022,442,961,284,773,982,369,105,688,845,378,
471,693,186,345,973,539,000,682,232,612,255,057,246,443,369,238,935,478,270,
579,723,124,037,556,902,855,239,505,096,594,606,329,413,598,966,872,117,688,
304,398,557,260,265,165,528,766,518,422,310,504,125,141,806,906,157,629,942,
944,324,459,208,363,881,595,763,138,071,497,024,271,762,814,910,305,501,998,
517,092,900,332,083,966,456,876,633,795,674,120,803,246,821,907,226,148,315,
161,785,580,296,256,220,512,246,472,960,652,768,930,349,620,725,173,863,381,
606,158,883,518,654,563,361,826,050,983,864,757,645,562,616,617,962,783,597,
244,905,239,158,242,991,309,764,082,339,037,652,908,754,930,695,067,972,074,
496,187,686,208,288,120,482,305,454,267,736,009,267,193,681,098,374,747,221,
130,416,772,519,759,753,495,983,599,909,949,978,348,744,033,937,573,960,918,
959,411,457,667,858,911,102,221,761,887,802,365,721,336,338,457,000,324,152,
035,680,520,035,295,324,985,625,616,967,587,182,833,019,382,077,185,889,940,
788,530,418,440,832,642,420,377,934,118,947,765,309,394,488,349,608,163,203,
353,124,772,602,740,394,178,347,217,050,130,954,195,425,494,834,429,450,922,
858,348,700,864,115,616,157,175,966,372,849,447,967,962,270,313,678,078,619,
162,217,422,055,796,789,371,330,618,456,995,040,370,574,877,966,904,064,884,
821,043,718,019,772,412,608,658,585,782,332,534,685,876,876,237,126,774,977,
858,835,917,111,975,514,741,578,634,134,621,984,303,165,920,925,254,823,126,
976,056,631,540,223,270,262,220,360,506,079,046,061,178,471,994,036,301,213,
281,733,313,476,889,422,439,917,107,110,026,629,560,294,416,339,095,317,258,
909,586,952,546,683,926,280,196,684,435,986,832,510,006,104,904,641,002,857,
782,231,239,907,889,395,317,203,622,891,309,257,238,205,737,176,296,268,999,
112,749,540,882,092,101,385,692,759,942,716,831,655,347,032,965,148,319,662,
068,943,665,102,094,787,406,796,308,441,027,586,098,069,405,734,349,431,117,
029,912,271,778,475,632,093,005,785,180,431,785,671,261,601,966,492,926,473,
286,067,636,802,618,593,052,119,029,760,458,077,814,680,434,470,713,225,597,
086,849,950,864,378,695,953,446,771,069,173,542,867,967,119,620,612,371,532,
368,620,587,598,766,731,927,397,045,111,414,674,274,110,245,599,575,846,320,
277,440,812,756,563,821,816,608,285,699,172,354,255,815,476,361,393,305,829,
943,659,294,965,702,485,928,938,604,139,740,416,509,374,578,121,173,538,175,
949,074,267,426,084,913,576,432,667,025,157,255,486,477,982,577,724,908,951,
945,778,836,514,741,341,664,647,911,992,958,347,624,809,817,786,328,346,867,
765,138,731,369,075,696,666,401,952,150,541,119,874,728,417,421,181,967,063,
177,699,083,839,731,396,038,832,326,353,347,127,572,624,823,495,007,639,807,
419,678,062,678,004,667,371,020,891,765,174,782,560,454,288,356,198,737,357,
416,543,770,360,711,680,476,483,131,619,839,055,746,255,371,287,765,063,153,
940,791,892,987,608,511,958,148,722,261,269,906,198,719,904,906,796,457,674,
070,659,900,115,502,148,648,279,477,208,665,301,169,542,981,083,656,870,947,
384,148,845,732,069,511,798,195,463,418,864,283,699,817,300,423,408,935,944,
635,559,617,979,838,760,918,058,860,458,382,913,055,944,271,646,899,296,901,
996,768,104,457,376,877,630,862,490,430,919,063,555,616,304,107,837,454,912,
191,765,091,595,968,537,361,764,034,839,279,850,821,230,285,058,967,619,513,
985,715,025,664,346,488,497,225,243,429,296,758,115,784,775,399,960,955,094,
963,912,622,210,345,639,494,750,549,163,357,502,687,348,853,243,592,038,292,
032,260,026,864,722,113,657,040,704,894,903,478,879,221,248,166,299,436,500,
693,821,077,178,296,733,290,790,711,088,238,254,745,315,624,161,834,958,742,
007,515,020,185,113,677,643,479,603,081,114,115,152,599,532,835,977,643,855,
516,483,839,741,528,219,291,976,300,797,818,081,934,831,007,008,347,568,615,
684,720,618,276,878,905,898,282,843,468,990,392,643,436,281,206,881,081,492,
051,633,608,090,020,590,306,232,812,966,414,431,154,413,228,170,364,320,845,
775,090,241,430,202,751,090,101,532,178,566,788,109,992,161,380,831,827,400,
276,808,539,138,852,016,681,622,973,716,910,768,488,934,059,152,927,840,265,
754,962,445,696,707,229,015,239,193,509,527,911,091,774,728,440,051,574,741,
493,971,975,611,682,375,925,023,559,935,488,761,353,066,941,681,053,463,063,
648,161,757,629,498,713,637,592,502,922,920,818,127,992,014,520,760,610,255,
776,755,440,341,853,166,371,376,927,125,512,235,674,784,643,585,543,471,413,
367,150,680,102,674,675,882,655,655,566,236,229,598,153,621,541,052,284,702,
720,667,342,402,873,060,118,951,158,182,356,614,319,476,534,623,461,253,004,
436,166,888,279,401,887,959,969,741,001,531,666,449,593,050,670,513,961,958,
459,763,290,357,828,127,495,448,777,863,369,187,926,117,788,041,670,123,529,
951,452,194,434,512,519,468,579,307,541,756,004,254,331,135,492,179,253,609,
373,621,136,466,999,168,775,267,493,897,299,372,964,608,145,330,655,404,330,
430,195,269,766,868,236,456,869,145,279,526,130,892,518,780,282,372,942,374,
878,354,322,270,522,101,737,750,114,912,267,385,119,521,369,470,083,677,548,
387,784,216,928,418,812,543,219,666,896,074,543,419,206,986,302,773,710,269,
920,596,902,466,773,976,965,158,155,528,684,297,954,995,473,588,708,873,183,
432,787,240,742,209,453,958,298,196,617,208,273,375,230,015,429,302,362,359,
531,241,282,362,950,489,691,659,782,242,641,027,623,839,643,755,609,513,252,
256,221,774,607,620,797,048,610,703,127,117,383,564,821,375,870,761,178,467,
040,001,740,076,339,124,578,204,562,931,240,703,347,731,717,011,935,026,352,
115,572,162,710,278,414,291,471,031,249,660,835,401,220,839,355,734,586,177,
716,401,165,362,107,965,226,964,693,422,561,486,479,169,940,858,919,061,625,
037,957,218,986,711,307,334,193,737,094,504,783,224,256,374,710,454,910,906,
556,306,180,709,391,786,470,514,550,237,983,256,881,066,786,248,643,738,260,
198,621,988,796,212,748,820,902,298,679,448,547,545,951,236,170,798,258,581,
596,657,223,358,690,538,197,934,113,633,305,006,704,305,548,256,372,858,483,
645,078,546,264,150,772,474,750,876,462,413,783,948,496,746,219,765,626,608,
467,041,478,641,081,147,309,448,420,721,626,394,741,312,918,253,641,693,672,
361,707,381,591,162,620,144,982,503,607,628,437,606,544,257,745,215,794,122,
931,669,211,500,790,666,318,923,714,679,149,306,774,953,061,104,442,060,411,
184,774,421,690,388,605,345,122,916,680,993,799,660,586,540,063,999,931,897,
042,717,706,392,984,222,616,532,329,236,237,759,970,612,457,828,356,107,815,
312,796,237,925,086,299,880,369,554,788,500,524,576,216,689,719,142,896,275,
609,625,242,453,270,497,923,688,914,813,292,685,256,267,664,833,210,446,305,
300,639,826,050,966,838,728,374,217,935,131,089,721,909,403,716,744,005,229,
636,395,701,501,876,025,465,110,659,477,385,708,058,775,890,254,380,591,198,
769,045,587,756,488,932,167,233,339,785,346,861,806,025,415,620,736,867,375,
797,182,728,980,808,033,509,009,639,800,196,895,640,067,203,044,463,902,707,
428,772,709,050,509,746,308,161,003,568,610,248,637,147,755,305,734,721,116,
021,156,754,177,918,981,327,203,853,856,591,507,815,875,255,978,784,066,438,
571,886,999,791,912,732,911,534,536,725,646,171,093,781,746,598,064,118,248,
702,028,488,472,651,452,817,421,563,862,103,437,495,902,220,084,235,455,839,
482,554,041,917,916,735,553,454,477,088,800,516,022,123,079,663,032,431,223,
093,710,807,921,018,679,918,700,970,489,274,954,544,845,375,849,552,061,686,
963,443,673,910,111,252,248,639,291,638,461,627,922,126,885,872,508,028,864,
710,639,578,223,271,147,215,627,897,540,855,779,009,285,475,291,175,657,632,
670,900,711,256,647,257,122,905,688,530,886,839,518,767,075,575,314,714,672,
399,759,714,862,322,573,848,413,092,572,349,244,990,728,108,081,289,723,379,
251,718,128,182,806,012,083,213,375,093,816,642,661,505,743,518,524,676,652,
191,821,565,391,885,452,820,361,472,096,110,721,419,060,993,237,924,777,752,
639,610,638,736,698,115,025,562,864,619,770,702,852,465,423,443,907,690,078,
093,915,286,532,230,555,383,905,266,027,279,429,997,168,692,746,851,930,197,
230,673,355,045,363,750,128,786,382,728,318,343,495,910,339,504,512,911,622,
963,782,903,043,140,312,520,473,564,017,617,958,379,532,862,910,916,685,331,
709,623,297,613,055,153,102,184,229,946,504,597,035,614,994,922,216,938,893,
588,430,962,158,663,319,140,277,011,902,119,820,232,671,925,335,034,920,549,
021,258,993,033,365,775,415,591,238,031,191,220,362,001,869,000,273,301,699,
293,340,319,033,097,171,264,698,840,168,015,099,361,213,904,018,315,003,454,
771,985,407,753,325,274,453,634,165,677,037,867,601,653,224,274,845,886,658,
342,312,663,940,430,123,485,212,508,377,107,582,172,380,817,572,398,813,305,
207,007,910,235,033,293,654,893,643,740,573,518,828,577,771,744,558,860,484,
928,284,602,272,906,406,484,300,148,829,613,662,932,035,329,344,755,917,427,
552,351,396,633,057,564,298,178,198,108,971,070,651,054,381,657,066,367,996,
713,403,872,313,369,749,082,622,444,451,362,490,633,629,700,477,889,657,793,
981,722,233,559,393,672,896,966,678,616,827,842,769,141,398,512,554,028,898,
633,164,481,290,213,754,241,125,453,184,434,793,350,899,219,198,064,905,725,
630,411,935,382,099,977,250,620,709,261,009,596,867,362,645,281,965,176,817,
240,457,045,477,796,606,560,748,253,179,541,577,613,913,594,653,286,750,536,
167,114,840,168,386,640,624,803,113,619,432,950,422,382,935,937,291,339,955,
259,300,536,788,258,163,456,402,055,310,980,461,565,501,282,272,153,498,426,
782,772,908,206,781,083,981,901,241,591,525,244,216,737,813,611,374,877,982,
040,806,596,902,883,066,257,725,442,256,855,690,366,503,464,518,533,154,300,
487,750,886,468,054,133,281,143,412,507,247,993,113,927,821,474,405,375,373,
216,172,125,662,657,527,298,237,703,979,777,799,043,285,797,108,009,350,845,
465,828,072,233,342,531,422,285,081,972,270,327,354,265,446,506,282,507,737,
156,931,715,670,112,957,998,168,964,766,146,350,889,484,009,530,203,696,423,
749,763,521,975,656,793,692,890,430,144,313,003,324,095,374,860,454,247,612,
034,911,983,402,955,794,821,400,930,826,927,579,380,736,361,804,172,179,340,
002,948,130,712,621,141,142,176,098,098,917,074,169,686,184,090,948,226,900,
987,403,629,594,913,415,411,356,900,404,654,414,377,337,736,484,791,369,218,
486,627,105,495,259,533,771,603,320,424,785,743,339,512,272,435,187,857,500,
749,314,991,771,098,791,156,080,192,766,806,743,636,081,005,404,038,228,770,
849,921,221,246,099,370,964,880,449,296,327,864,456,493,116,861,306,772,289,
572,408,995,795,121,287,378,308,485,925,932,359,664,537,208,620,045,762,511,
688,538,188,274,624,547,048,094,684,067,649,034,150,244,003,353,068,240,469,
614,575,202,466,021,459,419,101,546,678,084,447,831,390,166,928,446,043,231,
528,268,131,381,808,012,991,869,420,161,640,987,327,152,425,909,620,473,597,
665,393,880,277,790,341,082,438,304,588,134,462,442,176,512,810,120,395,148,
464,951,410,273,805,360,628,747,509,576,665,685,431,325,299,010,345,030,532,
018,759,284,166,846,639,640,074,752,091,001,569,037,715,018,217,564,687,959,
677,579,852,993,097,176,031,210,178,706,636,876,627,583,664,495,953,776,751,
370,237,605,061,139,969,323,707,398,590,203,045,028,968,913,224,184,344,488,
204,165,920,864,384,642,886,990,924,967,752,754,837,657,226,360,071,051,842,
299,648,397,583,315,858,656,271,514,258,814,103,226,968,997,772,241,924,286,
482,150,308,859,885,569,711,721,667,555,190,795,247,263,220,517,390,854,395,
713,005,529,027,496,032,677,749,661,942,187,999,253,007,889,652,050,373,260,
961,765,645,023,512,812,815,293,662,793,004,156,423,097,663,181,372,776,626,
942,969,837,507,476,554,610,388,349,463,840,337,700,435,868,453,373,536,609,
516,782,953,255,346,170,691,399,634,503,103,100,283,768,872,724,653,305,386,
954,630,991,379,409,097,641,447,029,910,084,374,080,749,476,553,313,778,421,
309,735,552,383,249,671,016,218,159,443,188,738,617,410,847,004,000,692,091,
299,329,470,583,583,863,057,428,797,337,501,646,225,694,520,469,404,117,363,
493,383,229,539,680,302,093,532,630,706,545,740,823,799,045,143,391,317,134,
983,012,461,145,080,927,379,795,504,508,798,741,685,589,090,851,214,781,646,
828,629,146,645,199,786,731,204,708,527,755,721,968,929,969,618,032,218,358,
677,520,384,927,891,640,017,539,100,183,755,746,674,393,989,944,529,168,716,
513,660,564,256,186,962,154,667,107,590,459,240,700,053,168,895,548,427,385,
860,064,653,380,791,065,147,054,899,618,451,264,359,058,352,658,645,973,808,
347,051,800,360,178,102,597,376,284,793,066,768,768,391,969,340,934,551,351,
988,223,364,670,781,612,275,253,715,846,683,608,303,954,120,664,978,906,919,
147,407,317,741,621,158,172,555,053,299,810,846,896,560,921,912,297,853,563,
769,990,055,424,971,465,094,316,555,767,560,246,000,130,037,395,735,055,193,
067,728,008,732,238,962,330,589,767,961,813,410,814,812,395,793,021,792,654,
968,025,133,070,039,081,887,195,916,498,180,767,446,025,416,198,614,561,124,
996,033,646,990,169,507,192,433,725,043,615,849,304,083,393,929,643,902,368,
465,301,419,341,851,761,984,941,187,765,947,704,329,600,326,807,933,459,898,
759,797,788,535,998,461,532,631,665,960,715,403,773,984,152,125,071,180,761,
040,054,339,267,171,179,385,495,972,893,486,657,777,847,021,959,709,151,388,
222,463,721,952,810,984,356,622,439,418,239,134,482,563,441,856,773,777,953,
612,148,594,340,454,428,059,876,528,226,831,867,971,979,804,737,963,826,687,
764,961,378,560,145,459,066,723,220,013,974,702,204,573,389,675,135,516,582,
084,005,339,993,602,593,231,334,893,125,245,973,051,665,630,285,422,527,777,
163,129,324,075,306,616,671,930,450,159,959,295,868,559,357,468,568,675,875,
281,301,478,790,387,394,816,648,491,000,433,099,229,530,934,676,996,828,028,
263,259,773,529,611,222,371,658,672,997,927,242,452,426,267,420,073,538,917,
940,592,066,574,069,345,358,147,458,985,079,435,133,493,557,479,821,795,101,
602,554,499,059,528,895,916,757,051,844,103,891,421,859,169,459,455,805,474,
797,195,889,474,248,672,273,141,550,918,408,117,221,023,113,106,916,899,080,
094,175,609,065,951,800,590,812,874,387,653,275,873,733,327,267,828,232,609,
717,450,067,484,856,282,992,373,396,808,903,807,970,339,603,960,812,862,520,
328,985,438,273,846,064,220,433,191,609,575,232,201,502,218,355,080,466,241,
650,587,295,620,123,299,029,270,878,028,071,258,803,811,371,504,605,590,261,
864,147,677,333,195,533,441,553,241,275,057,762,533,214,323,374,388,438,262,
984,548,465,985,216,127,966,811,753,552,069,774,463,943,378,935,460,925,661,
462,770,431,123,057,796,651,461,467,521,094,786,963,095,160,607,856,416,243,
986,834,503,294,429,531,715,346,066,222,271,670,229,209,281,276,741,366,281,
731,745,920,951,451,175,445,059,599,285,159,170,558,273,366,457,961,538,186,
541,093,935,512,463,933,549,631,133,544,508,666,564,088,936,099,220,130,566,
122,542,978,452,001,068,418,233,575,583,115,697,124,726,154,509,924,657,525,
535,173,755,569,638,671,997,666,808,814,057,905,315,625,600,940,375,415,090,
994,454,158,714,314,435,008,922,322,770,931,600,343,637,887,422,877,102,511,
585,926,500,522,682,452,543,816,740,451,903,353,648,079,082,437,653,822,485,
571,961,622,275,438,989,255,287,377,523,469,528,700,275,858,199,138,651,257,
177,029,801,000,292,498,733,472,615,932,310,153,049,875,159,853,904,990,694,
938,270,958,154,066,157,324,568,891,110,866,431,085,218,572,240,932,958,418,
273,152,894,698,944,968,587,459,357,927,857,147,403,585,734,297,273,197,378,
328,528,038,996,344,760,055,748,299,064,587,092,062,301,189,217,238,470,514,
675,623,097,617,326,440,408,441,711,800,323,938,947,680,330,991,155,429,526,
628,630,699,229,730,401,218,624,440,089,957,061,414,650,099,194,017,922,574,
849,755,081,989,671,544,024,175,575,021,187,950,513,430,569,008,573,902,293,
866,800,726,442,883,714,844,131,157,017,993,414,678,961,071,744,462,353,321,
438,092,716,373,982,426,330,452,386,783,908,840,004,558,706,014,810,137,275,
032,903,398,994,560,045,222,705,710,242,990,439,405,620,807,543,476,730,633,
747,144,822,637,918,625,293,783,389,813,108,099,682,436,301,844,275,195,680,
569,246,249,862,121,481,619,174,803,125,520,846,969,944,168,067,689,428,222,
732,082,458,600,241,757,275,169,167,201,679,720,368,874,128,228,303,766,250,
486,437,605,341,585,595,105,026,125,153,254,509,274,021,341,678,319,718,118,
686,906,721,188,940,441,847,539,503,456,354,686,741,775,852,005,596,686,608,
243,297,209,334,115,292,571,374,064,151,170,164,339,782,154,737,320,299,966,
237,955,305,182,484,241,976,952,786,641,212,658,019,422,697,694,942,099,162,
690,312,961,975,858,982,962,189,890,996,275,745,198,726,982,160,821,325,489,
511,797,655,128,510,291,651,259,012,703,231,410,599,177,709,764,291,076,242,
593,529,058,867,055,486,549,763,622,334,311,814,564,941,657,103,476,804,284,
856,273,220,762,154,699,126,559,243,869,113,953,724,885,227,215,325,096,643,
538,340,116,870,719,464,045,159,566,168,627,954,865,726,772,404,193,298,780,
408,942,001,933,242,547,287,112,182,093,579,376,661,649,683,309,363,538,526,
004,849,822,250,375,166,867,220,796,306,850,084,366,342,006,952,287,767,074,
985,009,522,318,938,415,314,864,140,078,549,904,316,290,209,277,504,385,634,
410,682,347,628,460,135,456,936,504,424,979,069,037,665,537,233,619,313,525,
015,618,229,418,747,478,550,609,550,930,274,280,224,322,449,652,087,592,415,
474,714,911,770,671,269,875,748,374,154,105,991,466,179,028,865,982,302,593,
034,400,643,334,115,828,172,050,325,861,752,081,763,321,550,732,053,733,306,
004,578,158,927,324,602,201,284,782,933,801,477,389,011,091,204,001,355,204,
346,048,226,965,121,306,938,269,050,066,505,353,101,891,924,592,602,874,097,
171,347,448,980,736,155,839,341,181,892,316,948,334,194,294,469,008,585,796,
114,333,905,305,530,294,018,849,622,868,314,907,196,407,183,178,372,423,619,
330,601,153,827,435,869,911,379,853,424,547,703,998,812,028,517,931,657,099,
090,153,599,908,973,259,249,812,100,968,251,792,572,732,353,106,117,204,483,
054,600,365,940,048,901,254,404,524,897,771,603,301,622,015,051,644,236,964,
999,531,030,902,026,617,169,882,195,124,433,340,018,627,976,774,693,075,903,
102,433,325,008,782,799,838,634,393,890,814,376,287,054,351,285,647,340,825,
308,178,778,392,409,561,135,084,167,757,273,204,256,203,911,487,449,201,540,
323,159,390,898,788,543,714,380,865,683,786,905,614,306,140,855,237,557,708,
826,106,549,501,179,511,333,263,465,101,175,320,012,795,881,692,891,928,996,
967,192,975,926,023,241,913,971,831,708,911,698,835,915,250,223,968,139,047,
691,495,266,125,775,993,128,456,412,621,147,919,188,722,393,763,819,966,671,
219,440,571,526,598,478,659,417,514,567,696,910,305,743,946,325,676,956,652,
029,618,439,933,757,371,117,448,686,727,524,244,577,789,346,979,170,803,961,
942,762,851,394,165,697,297,248,715,271,444,967,905,100,232,191,445,089,538,
293,264,312,834,126,918,253,796,889,129,731,111,302,547,368,917,616,816,967,
315,617,754,531,870,278,271,726,814,903,408,102,295,535,986,344,771,551,803,
640,930,379,920,207,400,278,917,905,676,433,997,465,316,698,765,133,820,150,
695,676,333,269,325,343,465,678,822,333,928,049,714,044,987,716,422,821,382,
710,883,560,835,780,942,591,743,935,128,918,103,219,075,626,753,029,774,547,
861,473,964,010,637,672,413,628,789,738,527,381,605,964,500,754,593,499,256,
021,976,965,639,855,442,767,408,554,046,462,153,868,913,017,224,996,533,589,
601,349,566,467,337,595,268,112,792,847,908,107,282,787,554,310,395,716,740,
235,601,556,651,925,435,988,701,939,400,734,011,348,123,410,642,263,980,008,
299,497,024,069,420,934,739,065,467,351,152,949,181,076,925,997,210,838,432,
647,360,967,860,319,949,315,204,999,831,871,783,541,962,516,765,726,300,753,
384,959,357,195,900,041,125,205,014,982,174,820,658,367,579,794,155,452,978,
085,946,587,215,541,456,965,177,660,952,489,230,082,516,531,727,288,545,839,
686,897,153,145,836,817,086,916,254,821,015,304,133,222,143,772,293,287,003,
929,857,987,678,927,174,972,747,005,065,911,954,774,290,771,301,381,593,191,
144,726,633,112,396,772,523,152,362,736,750,409,071,070,230,822,590,444,451,
948,644,386,751,251,123,552,581,283,814,928,999,040,476,162,814,876,076,809,
114,790,909,975,206,271,225,645,564,118,962,871,605,748,227,511,702,593,764,
608,203,841,527,994,808,062,011,975,648,926,024,035,420,743,674,733,846,311,
671,857,117,556,116,598,888,934,014,782,995,873,064,533,571,636,962,737,850,
449,720,772,866,803,011,443,533,859,134,022,290,042,272,196,729,675,960,642,
929,322,277,329,805,063,967,339,396,748,329,695,938,064,684,683,523,206,071,
963,185,236,159,426,267,608,000,204,929,179,274,709,784,780,565,453,661,356,
393,464,939,271,413,996,483,222,039,079,808,533,215,967,493,692,925,054,172,
789,301,446,776,667,910,165,399,349,129,725,582,978,558,945,339,626,723,461,
145,739,471,933,312,049,474,088,544,070,545,446,681,015,165,611,966,826,279,
554,978,979,710,105,279,955,290,439,968,170,181,048,478,407,972,038,463,239,
531,566,108,812,917,933,265,826,520,758,696,822,301,058,045,402,093,693,816,
792,636,363,213,216,868,993,091,986,515,501,185,361,361,651,560,760,813,959,
135,074,377,012,202,194,915,198,331,153,673,792,782,629,058,483,551,333,865,
449,402,532,853,663,893,577,514,386,960,738,278,115,985,964,748,522,990,701,
846,322,437,818,315,031,078,617,243,329,759,484,692,978,291,761,891,346,574,
905,666,420,623,786,536,070,045,093,056,644,757,051,523,999,226,701,138,523,
452,516,076,651,279,733,893,828,544,503,182,733,976,531,227,681,103,385,230,
202,049,407,530,249,059,494,105,868,596,364,010,929,243,799,220,804,473,542,
704,738,569,053,212,656,435,868,534,450,081,495,011,724,703,451,978,866,531,
849,038,231,809,099,120,431,648,153,859,344,961,036,240,385,764,987,515,476,
783,994,504,335,711,049,217,072,458,606,512,226,358,347,706,233,697,705,456,
408,957,708,205,725,540,885,111,974,287,403,525,714,892,303,984,511,827,360,
514,231,664,829,238,098,474,507,643,180,701,847,779,466,045,406,623,635,825,
189,404,781,443,745,468,460,423,617,501,385,716,736,368,117,835,967,312,656,
282,437,482,861,612,171,025,575,900,717,665,370,310,630,927,711,830,996,454,
460,623,758,341,898,812,656,517,742,898,505,901,749,028,378,630,847,880,374,
022,186,188,725,313,107,083,968,562,225,181,426,584,459,885,852,283,053,330,
853,236,108,460,436,044,416,807,097,040,579,229,671,117,652,012,476,631,233,
680,964,024,393,837,519,531,952,286,244,324,341,470,256,559,430,204,230,097,
946,223,185,956,088,834,422,636,073,179,291,185,210,040,274,506,856,862,105,
467,684,589,457,926,114,332,962,019,387,365,531,583,231,588,651,485,892,337,
188,173,007,185,510,799,739,556,758,738,322,571,928,743,414,973,791,622,244,
836,551,714,696,463,571,502,823,404,104,964,080,304,358,882,111,204,014,790,
039,497,478,831,122,574,312,067,007,080,416,769,251,180,604,321,847,543,404,
117,900,958,329,479,537,687,760,139,131,162,325,594,472,587,253,843,780,033,
780,641,581,875,894,785,531,830,554,121,935,936,204,528,717,119,131,886,987,
470,392,116,602,025,827,165,393,874,338,678,010,534,910,915,050,017,072,650,
458,781,665,312,641,279,433,783,901,871,875,436,027,162,634,453,164,868,623,
108,168,289,542,288,126,336,325,107,217,287,413,874,962,379,768,008,443,741,
252,599,740,523,961,670,107,703,299,408,425,595,149,624,501,419,117,636,024,
896,419,338,703,464,534,083,731,734,881,047,280,247,631,511,123,452,506,443,
392,741,611,452,253,335,875,808,387,266,375,815,873,608,455,516,058,643,372,
622,149,962,617,933,020,684,659,563,689,932,740,478,913,077,701,490,524,251,
053,233,213,456,943,653,439,487,800,476,242,162,907,745,409,429,127,289,084,
695,549,456,114,270,188,347,938,983,518,115,814,794,132,828,394,230,516,348,
413,423,425,572,981,648,314,755,279,713,218,894,036,301,697,015,812,956,078,
129,256,546,161,145,616,351,503,938,636,319,733,333,610,423,714,077,915,753,
143,258,485,207,657,274,256,657,698,157,178,347,733,940,401,296,680,529,763,
923,091,535,620,095,314,328,669,074,874,811,491,293,288,639,580,757,778,196,
468,418,022,974,986,460,533,304,633,898,879,560,485,290,047,974,497,850,383,
630,470,646,402,557,521,678,138,945,195,846,809,445,586,059,016,193,412,266,
764,646,997,569,440,956,003,269,080,812,920,212,377,681,265,962,838,057,699,
965,362,835,490,294,560,736,384,585,114,800,168,767,552,460,379,178,789,713,
643,370,110,676,095,310,873,869,455,272,339,385,760,156,705,476,489,787,191,
535,586,908,242,071,946,556,738,251,354,482,504,308,332,250,507,976,036,542,
156,975,757,274,450,109,804,527,665,303,549,261,748,085,489,873,317,594,918,
213,743,315,400,959,929,734,915,154,766,757,939,976,702,268,639,127,181,764,
603,493,080,503,953,840,358,204,847,865,245,125,310,429,387,712,937,689,909,
038,716,773,414,308,409,516,320,203,811,564,714,639,898,784,872,161,551,602,
058,704,794,262,728,316,915,493,509,143,828,182,933,749,159,975,078,439,963,
290,171,588,084,249,302,396,719,856,943,620,445,535,095,189,547,501,924,720,
287,299,996,228,533,257,549,771,811,418,023,674,763,207,137,797,023,914,951,
772,666,771,229,928,411,439,829,583,401,388,495,064,505,056,343,312,601,680,
670,046,058,694,806,169,851,986,130,559,019,691,183,358,130,859,526,645,060,
094,583,748,148,608,309,439,626,519,402,113,818,740,826,699,716,544,447,549,
110,659,269,972,633,119,641,532,611,070,088,032,169,974,287,004,493,948,760,
884,053,986,479,416,030,388,820,650,801,339,170,791,041,920,438,690,953,503,
538,515,417,033,348,845,095,712,862,594,654,151,465,900,694,333,032,803,787,
888,000,785,830,467,078,559,140,301,799,141,940,955,555,909,157,202,243,555,
688,552,772,307,336,531,457,011,258,981,987,737,507,071,786,397,441,959,792,
858,071,843,970,468,227,347,237,590,257,673,715,545,499,131,580,039,454,762,
760,354,608,866,794,172,340,303,634,526,130,171,327,950,495,749,478,185,818,
567,685,423,022,832,889,081,578,503,226,312,637,278,868,446,492,797,455,240,
597,402,789,665,736,410,643,180,932,901,058,246,524,403,124,476,453,252,484,
055,756,386,224,778,904,251,270,015,162,994,423,975,332,141,553,181,837,222,
331,248,643,784,955,120,432,400,282,518,260,567,179,099,560,614,985,606,561,
915,066,028,947,788,361,948,032,425,950,052,910,330,626,545,733,200,028,891,
594,960,206,795,585,572,536,135,798,173,631,243,959,227,162,586,524,068,034,
374,701,024,798,876,774,488,747,597,065,583,553,093,333,886,240,996,908,487,
089,716,235,466,373,342,999,996,966,978,481,650,986,046,617,606,021,916,602,
492,664,789,177,225,342,423,326,504,678,112,517,860,464,645,433,922,728,498,
904,352,264,439,217,770,676,289,070,402,271,598,850,178,410,952,385,926,452,
124,114,935,393,264,774,438,897,992,907,354,259,631,440,132,622,755,522,071,
658,553,571,861,373,252,398,255,059,841,563,113,601,284,007,445,706,308,124,
388,967,118,568,960,134,337,270,421,393,536,637,148,940,785,840,009,257,403,
838,331,151,274,840,275,861,919,446,083,527,909,927,040,205,757,474,284,503,
462,477,326,692,541,041,133,161,386,481,217,957,350,404,915,282,838,126,978,
871,033,174,123,949,262,722,787,191,362,857,242,907,366,852,411,919,856,282,
007,768,054,025,321,506,611,479,116,420,399,383,719,332,631,604,347,817,710,
571,654,698,356,927,718,464,339,654,265,736,001,655,263,325,218,313,965,213,
224,348,340,460,634,455,948,895,725,591,468,098,391,927,200,269,487,825,064,
914,655,706,058,885,286,204,657,610,286,241,954,064,418,965,542,063,577,173,
883,092,819,216,751,260,754,418,272,166,251,337,186,156,455,511,823,638,111,
235,169,959,838,247,173,269,850,056,305,208,477,320,832,214,723,198,719,111,
834,563,844,619,265,981,784,247,028,629,456,771,895,587,895,465,317,296,616,
440,573,917,286,996,831,391,855,819,051,347,198,005,623,653,180,999,825,801,
339,249,204,770,267,467,767,514,133,647,650,113,426,745,421,078,146,217,456,
459,376,171,574,540,851,096,402,760,586,772,449,142,785,977,400,192,676,521,
073,361,138,355,103,614,564,224,860,593,357,891,563,526,955,579,275,173,482,
969,806,950,696,041,224,248,726,891,193,068,641,323,371,148,810,425,077,595,
524,164,925,613,888,015,799,858,591,368,661,907,272,754,608,284,573,904,608,
809,381,306,607,398,194,730,276,504,704,514,689,849,196,397,443,996,575,833,
552,316,356,951,635,845,618,576,416,878,280,107,512,889,819,442,402,901,282,
075,794,650,252,631,709,371,350,128,517,323,357,070,748,750,947,138,211,644,
729,986,269,292,190,085,198,253,661,517,904,665,320,866,974,847,062,362,242,
063,284,620,725,921,114,075,443,697,921,119,395,200,263,212,641,163,593,248,
774,819,300,425,110,999,519,641,648,721,383,615,157,574,495,874,765,851,579,
633,148,516,712,035,614,728,327,348,489,201,833,131,325,752,693,559,893,904,
324,349,049,320,767,025,357,034,295,055,016,232,426,378,916,100,889,947,525,
070,330,570,085,016,213,054,270,356,367,155,800,564,815,059,670,906,491,431,
371,411,436,309,353,537,401,640,071,109,624,796,098,792,739,078,306,309,455,
843,937,580,817,657,274,842,401,745,806,079,930,001,960,091,329,388,661,526,
124,442,748,832,754,447,147,373,513,021,407,524,454,578,151,005,010,093,765,
882,313,395,520,826,593,961,157,725,922,478,896,602,458,697,486,238,363,989,
341,858,478,940,715,660,924,655,475,790,013,423,552,156,814,491,744,862,812,
671,710,258,571,129,515,857,444,755,280,267,815,475,392,503,116,969,813,578,
997,810,990,973,983,535,730,293,037,479,124,834,092,240,810,228,686,224,518,
534,401,785,444,611,014,410,719,154,007,646,536,254,501,982,807,239,452,975,
448,894,804,155,430,856,166,983,053,762,858,001,655,371,137,075,348,384,404,
717,053,821,002,394,639,518,645,899,913,318,327,206,409,694,590,270,515,234,
756,360,398,825,654,961,941,517,716,677,586,664,415,347,794,607,132,389,609,
105,312,401,193,835,905,427,869,632,393,054,038,444,486,895,247,628,721,906,
095,785,812,126,894,403,274,312,372,111,282,670,537,522,836,454,642,879,162,
847,262,699,083,673,578,319,292,035,577,773,352,100,648,750,929,479,297,891,
105,150,292,184,303,665,610,980,667,913,640,039,953,922,927,603,600,031,029,
459,484,367,549,985,602,448,756,774,882,974,788,523,884,836,783,906,555,807,
526,168,551,156,512,521,134,599,535,718,718,081,477,720,241,772,130,181,177,
198,400,362,160,305,292,000,270,974,099,992,140,089,151,463,316,133,645,720,
396,456,953,656,430,709,878,087,642,298,203,811,499,284,342,624,506,491,843,
784,588,966,809,140,767,776,086,783,238,837,150,670,670,638,363,984,313,535,
115,086,635,779,886,638,156,517,996,548,027,067,386,648,810,701,492,817,187,
609,792,561,153,779,119,921,150,763,158,346,843,961,286,020,657,279,313,905,
292,349,249,831,763,575,296,509,833,304,744,775,143,110,677,242,250,512,310,
092,138,070,727,336,629,438,302,686,088,248,106,891,365,944,719,265,919,739,
117,863,173,947,644,247,895,356,769,855,028,063,135,105,404,355,807,060,957,
294,245,443,571,343,891,961,172,374,624,887,887,271,302,732,964,236,202,019,
482,628,582,031,977,309,930,556,693,721,806,488,610,787,333,523,281,429,488,
941,418,018,010,432,749,537,242,873,985,969,024,358,488,021,493,625,728,844,
384,321,307,538,872,355,241,995,298,077,551,427,336,824,908,024,507,302,174,
999,049,162,944,395,134,941,683,241,925,648,692,557,213,912,368,787,838,331,
896,027,521,021,743,834,980,150,134,022,969,824,692,900,645,310,302,253,237,
281,630,975,843,166,702,628,275,745,699,337,829,218,197,263,256,721,405,610,
679,554,448,203,415,640,396,774,715,241,211,907,938,613,383,892,014,937,618,
323,948,099,658,866,604,765,186,688,156,169,898,296,736,986,123,161,889,250,
380,512,176,258,947,833,165,084,873,810,595,636,240,710,924,003,799,418,882,
967,148,107,832,984,533,561,067,205,238,870,945,304,833,247,052,007,314,458,
352,374,673,294,781,370,324,264,690,212,035,402,301,889,340,605,876,224,034,
224,800,381,017,253,846,981,623,868,466,809,642,367,073,548,656,705,704,556,
381,625,418,696,269,916,481,930,257,239,927,395,949,602,582,602,490,537,290,
972,328,981,033,538,617,796,050,737,600,764,257,965,123,657,091,274,656,798,
473,986,731,151,240,975,309,361,770,853,804,305,469,490,596,041,028,277,015,
107,624,476,183,773,348,432,318,542,905,490,027,473,794,726,968,774,718,650,
352,462,964,660,105,791,732,790,073,353,172,692,635,365,980,129,173,203,587,
584,439,553,586,043,186,176,727,883,436,194,712,846,987,883,469,421,136,006,
888,001,299,595,109,447,351,654,763,372,298,693,747,372,528,686,201,417,060,
480,639,032,201,073,003,851,395,910,372,087,971,230,239,526,030,161,696,349,
759,099,298,822,646,971,082,820,238,492,006,057,944,015,365,932,604,847,455,
457,137,470,536,705,094,972,523,576,015,540,788,361,690,160,833,538,904,724,
994,232,415,482,793,600,859,614,134,287,566,337,696,358,073,683,593,341,154,
803,077,006,617,033,943,045,309,190,102,710,334,882,164,352,425,321,949,254,
802,241,534,097,831,830,571,026,412,011,961,374,981,804,016,348,477,560,400,
678,337,938,148,205,750,542,117,366,543,838,049,292,188,362,501,990,554,279,
142,661,693,613,117,313,311,577,525,264,946,442,717,510,060,057,563,071,691,
941,557,831,665,896,440,888,341,515,834,699,790,804,973,754,771,673,599,507,
542,415,665,819,719,476,947,711,919,158,569,629,524,579,831,806,357,491,488,
743,620,547,462,812,549,769,653,633,447,424,007,356,655,040,798,918,586,806,
170,227,319,801,076,188,479,824,446,089,762,794,296,198,329,175,777,188,465,
916,793,102,740,554,930,059,537,580,498,959,305,359,397,046,924,270,828,306,
766,654,777,216,577,551,666,164,296,458,629,712,327,260,436,499,158,149,187,
375,924,856,376,866,474,741,546,607,543,002,665,247,243,736,011,503,143,740,
474,212,461,060,545,072,679,351,230,439,622,742,063,426,352,059,154,546,526,
194,665,702,461,426,470,755,993,339,689,906,956,960,384,353,737,980,999,277,
571,465,893,108,870,120,191,411,812,200,197,848,767,028,320,173,008,500,956,
060,570,325,140,448,240,952,332,295,599,275,036,420,148,838,193,885,505,456,
401,820,306,509,021,739,027,405,595,930,753,991,097,645,786,378,545,677,757,
654,483,782,265,587,952,092,571,647,847,487,555,611,795,345,446,514,525,050,
035,435,531,680,212,598,152,534,036,417,953,358,674,772,791,187,576,233,772,
929,777,001,375,884,818,678,819,741,187,402,112,765,352,679,349,712,302,835,
439,617,307,411,589,313,988,558,673,137,072,349,203,845,108,204,449,596,506,
464,185,955,526,436,489,003,214,971,477,917,591,175,653,233,414,416,505,211,
952,784,098,935,232,257,933,880,858,434,218,944,110,921,691,048,986,996,587,
168,320,954,223,174,184,207,837,339,005,028,951,960,627,969,722,038,937,144,
166,656,628,051,437,004,502,151,740,411,670,338,246,078,915,977,367,357,028,
603,556,499,282,021,385,834,273,250,790,418,631,035,163,049,165,164,237,768,
343,181,806,053,257,855,514,144,000,668,665,943,114,177,476,211,004,843,251,
544,655,708,457,413,574,350,656,336,894,932,356,160,086,885,333,832,518,590,
199,171,365,184,397,106,120,022,601,507,193,499,622,473,298,606,240,820,044,
948,210,717,196,389,603,327,918,738,732,197,389,313,052,423,004,289,197,674,
515,801,360,465,884,184,392,031,106,420,060,933,648,521,945,837,670,504,801,
170,967,179,658,055,100,956,698,667,650,193,673,108,992,959,588,342,487,829,
347,572,692,248,116,815,047,939,121,341,451,249,465,680,520,437,503,050,874,
253,759,301,692,133,187,548,873,938,392,814,417,563,960,984,243,181,459,375,
782,583,458,427,285,882,558,699,085,104,302,077,600,386,815,885,797,373,046,
194,602,932,987,359,370,272,892,980,752,651,142,602,884,372,722,536,561,578,
260,084,195,020,497,688,732,360,278,241,312,673,217,327,581,514,733,342,992,
056,417,261,749,091,532,881,910,158,997,956,131,906,212,897,819,452,906,339,
293,063,482,189,308,249,118,856,079,209,253,060,448,066,930,351,427,514,432,
056,145,926,832,293,444,289,384,312,304,448,040,545,131,391,101,455,983,670,
123,481,692,869,426,108,247,304,567,316,629,448,295,149,687,652,579,704,214,
505,211,227,756,267,613,134,058,128,361,527,239,586,598,544,324,573,175,750,
296,060,133,592,874,971,644,723,947,706,091,461,633,415,259,901,222,297,517,
917,310,928,263,369,665,944,184,053,466,021,048,946,638,469,317,451,633,551,
931,019,994,281,428,864,740,552,645,072,660,448,941,988,117,800,306,035,112,
600,859,498,427,955,946,346,218,601,616,697,567,573,206,651,934,604,080,790,
709,474,535,250,336,295,581,415,014,329,738,589,404,654,363,778,160,503,377,
301,173,209,788,770,900,123,422,005,357,949,858,817,409,223,450,517,168,935,
459,753,835,029,437,858,018,648,066,086,870,875,806,334,051,364,929,481,104,
715,220,547,626,938,337,153,613,903,304,251,064,018,531,488,859,096,366,901,
693,302,938,663,984,095,389,811,446,148,704,697,721,376,221,742,828,197,759,
084,965,069,710,072,749,180,018,623,762,853,381,176,666,839,287,427,592,639,
643,863,793,842,128,804,864,177,771,373,942,527,926,813,076,138,666,226,261,
666,983,288,404,336,989,369,200,986,938,144,796,696,561,915,068,019,444,334,
102,921,049,371,039,158,041,615,235,841,634,817,751,698,514,948,664,144,611,
412,696,467,146,625,462,977,552,537,081,197,267,433,254,736,589,653,392,891,
324,377,138,837,175,617,735,847,015,312,693,716,100,455,263,014,577,559,006,
959,004,283,063,960,950,966,775,259,801,483,805,883,726,537,206,226,324,418,
816,594,719,449,195,222,301,570,697,546,858,706,034,892,112,334,808,657,995,
434,773,136,176,012,026,770,501,415,133,992,917,680,382,434,694,028,324,454,
498,406,117,552,135,871,843,729,071,267,460,933,482,977,061,651,999,291,985,
369,695,692,876,117,485,301,286,343,767,797,717,838,547,939,886,703,589,590,
350,845,846,076,408,676,998,606,401,819,698,573,242,914,208,783,118,361,717,
873,093,412,506,421,558,827,625,461,159,727,040,793,505,427,717,343,619,279,
237,076,664,248,877,638,097,850,478,939,243,845,059,246,569,498,166,450,908,
882,736,243,552,959,706,607,256,966,870,689,949,017,118,656,302,079,813,916,
788,028,661,555,231,468,900,224,142,021,654,558,407,666,290,931,478,050,429,
027,329,016,612,186,876,462,887,843,513,169,150,770,017,696,699,950,057,431,
910,235,976,383,298,359,509,149,974,093,071,857,418,883,429,502,359,416,531,
282,822,492,155,554,754,947,421,689,021,815,000,757,377,170,587,600,622,538,
502,888,600,237,465,946,584,295,086,568,124,697,511,994,773,687,197,399,936,
145,382,183,747,007,412,137,900,242,289,716,239,292,193,421,874,359,685,206,
369,381,440,447,278,072,104,959,098,715,013,097,217,903,656,775,667,276,306,
418,543,207,227,207,197,562,049,084,398,205,355,480,340,448,016,541,828,638,
262,445,489,894,262,112,254,719,814,744,481,672,586,004,354,326,299,348,058,
761,497,276,080,779,268,890,312,506,187,630,223,206,785,980,804,393,169,353,
220,546,555,661,022,023,020,129,460,838,398,641,126,850,947,493,436,647,432,
719,174,880,517,045,773,576,834,952,422,302,107,990,816,330,183,229,728,695,
330,369,396,744,527,722,354,882,072,505,418,136,660,064,237,612,192,721,619,
732,541,350,476,983,319,088,223,333,854,507,469,107,155,002,014,534,750,050,
753,833,394,669,103,185,953,730,550,879,044,186,425,486,660,766,812,030,219,
945,042,118,325,740,727,750,126,091,767,018,607,892,444,200,725,747,356,440,
354,611,717,494,940,928,835,434,124,136,608,404,627,683,856,535,909,484,850,
914,210,026,942,315,285,708,886,363,993,286,759,787,543,239,762,790,393,131,
490,848,960,713,882,612,601,053,735,683,965,275,315,606,303,601,685,235,791,
326,737,061,920,765,256,407,185,974,493,355,203,332,663,132,385,086,051,154,
811,326,157,640,575,187,095,282,354,400,391,929,422,820,229,002,097,514,009,
916,362,542,402,012,382,397,968,670,245,547,286,168,842,987,362,088,845,102,
727,081,656,728,278,307,844,102,282,979,555,098,819,382,289,687,034,158,824,
139,904,724,236,155,765,716,768,364,786,855,520,118,202,192,482,086,784,427,
806,890,992,404,758,978,934,189,915,126,584,209,197,836,926,293,578,048,604,
182,387,972,643,241,175,365,412,378,521,872,007,973,109,778,466,352,264,508,
724,280,244,613,702,449,950,579,392,767,810,599,801,071,639,425,221,596,467,
003,261,166,637,094,747,499,864,047,412,856,622,131,331,158,254,514,773,175,
696,674,562,283,316,261,439,204,885,653,564,350,949,986,939,473,740,547,550,
203,419,311,721,874,480,649,720,380,256,242,634,591,883,436,426,021,963,379,
093,509,269,707,803,296,719,394,370,023,161,361,205,779,065,557,716,448,287,
161,765,588,301,280,623,368,715,119,172,938,762,969,628,033,125,106,821,930,
974,966,955,813,412,511,832,880,384,546,353,145,281,684,916,219,231,187,532,
174,702,316,972,760,111,826,108,882,865,772,187,559,192,245,466,035,956,237,
059,343,795,045,621,727,098,782,868,344,165,250,500,728,243,160,450,938,269,
358,333,455,203,310,745,821,599,487,467,646,269,457,308,270,663,315,579,307,
474,596,568,620,403,089,597,736,782,058,683,381,597,515,890,809,877,191,741,
489,056,832,141,651,245,366,561,970,842,250,932,975,321,327,421,985,036,686,
683,773,448,900,400,435,456,539,459,047,887,564,533,906,939,852,569,962,035,
215,495,963,568,992,801,664,917,443,286,387,153,676,525,746,603,630,829,632,
066,198,673,974,227,736,781,726,794,964,963,642,495,319,415,657,297,927,750,
344,494,488,736,547,749,892,782,019,743,505,478,321,421,517,710,749,375,776,
454,886,194,561,539,263,110,486,606,801,901,303,822,453,857,427,145,030,365,
968,970,882,925,763,592,185,794,015,194,946,015,296,234,296,639,075,661,856,
812,391,126,796,819,379,352,487,892,961,102,057,309,368,407,738,245,769,805,
482,007,470,764,690,519,265,920,253,765,265,366,093,452,857,967,827,389,710,
125,395,020,237,297,234,726,307,005,654,921,077,924,739,081,404,488,957,999,
461,403,047,875,747,367,903,509,421,620,173,411,065,069,026,664,523,071,647,
659,330,872,900,716,671,103,986,305,815,101,267,121,890,252,252,578,095,061,
136,060,247,083,694,520,403,302,646,853,304,934,921,723,966,608,548,706,139,
702,308,938,835,782,279,117,148,672,103,639,689,376,669,584,489,634,811,293,
403,879,833,216,282,595,008,279,073,559,714,725,337,166,065,615,583,359,663,
273,678,266,674,020,291,754,907,572,466,273,071,290,391,832,379,727,855,768,
324,767,518,889,271,199,047,065,807,814,958,967,945,968,103,231,695,238,873,
629,430,697,465,401,876,851,939,248,052,935,132,747,458,270,432,906,524,504,
366,519,120,201,659,686,931,119,330,987,243,362,624,079,352,371,160,763,193,
838,919,460,471,464,636,081,641,948,519,590,244,989,761,133,224,880,727,668,
643,541,022,865,198,694,771,052,171,691,537,264,433,513,830,554,861,241,469,
462,855,513,542,192,988,172,448,334,766,816,592,074,573,002,418,296,439,151,
855,681,704,843,062,763,178,763,241,971,811,184,609,848,032,406,674,118,888,
236,043,219,093,271,013,320,590,014,702,129,719,636,399,197,781,153,117,792,
147,017,209,806,895,688,733,391,510,087,868,688,973,558,510,961,077,589,736,
979,837,845,293,784,107,592,767,851,443,174,250,100,818,305,586,431,871,772,
539,353,540,642,252,534,629,674,119,084,711,001,501,175,320,562,659,536,836,
736,629,942,486,431,838,559,634,476,864,860,301,875,911,117,661,230,425,406,
618,416,513,128,288,562,768,235,315,260,604,481,616,474,675,810,615,522,864,
346,861,231,482,379,996,977,565,011,061,529,788,321,905,376,305,144,204,641,
408,567,250,382,031,152,382,098,982,995,875,086,115,520,153,909,834,164,973,
617,219,981,701,043,900,448,536,748,616,776,834,793,320,804,714,650,359,172,
870,076,593,075,343,060,899,412,882,251,370,687,761,406,866,736,279,475,795,
691,576,801,571,012,451,816,773,921,053,192,494,287,133,847,878,990,562,881,
484,032,342,137,418,449,896,386,158,838,086,992,021,311,216,125,755,703,122,
794,157,009,751,648,937,391,523,249,576,327,859,129,843,894,398,633,980,339,
990,784,483,674,428,818,785,099,675,104,905,059,095,840,230,879,042,655,088,
623,261,668,676,556,066,647,723,688,618,983,688,572,575,775,996,115,246,856,
327,114,635,601,235,443,631,390,603,979,710,782,575,167,690,363,008,465,116,
298,496,535,429,371,956,525,968,352,707,642,938,198,064,120,056,189,489,449,
612,759,429,912,665,625,744,522,403,349,397,425,152,236,407,359,252,355,347,
244,650,494,148,375,656,698,624,164,677,212,259,874,760,950,456,929,872,397,
363,071,467,793,742,953,687,942,600,559,703,809,700,086,752,634,478,946,393,
237,797,214,788,276,759,484,770,468,031,248,189,366,827,336,502,722,127,449,
671,771,686,025,995,479,887,288,547,020,708,658,265,212,873,309,044,524,509,
642,821,149,546,632,067,560,656,969,475,934,126,041,226,042,492,060,799,022,
428,733,311,226,263,549,082,383,170,164,180,552,935,002,621,410,731,209,538,
446,886,626,204,355,945,898,378,792,894,883,529,182,526,263,692,584,346,985,
809,585,397,505,987,377,268,836,420,587,681,555,049,863,885,614,574,667,829,
031,255,454,197,665,793,469,434,492,030,001,478,535,904,111,478,935,488,335,
827,763,752,817,215,193,294,210,779,674,721,830,345,808,528,347,871,850,164,
944,286,381,753,455,611,555,684,429,955,714,959,503,861,560,666,716,917,027,
157,267,873,602,790,600,217,760,134,249,821,596,498,025,048,315,945,867,710,
834,454,698,344,999,344,963,339,857,339,827,075,335,277,416,180,849,217,070,
884,934,939,340,227,146,339,901,613,822,780,082,776,803,833,145,061,300,940,
432,800,125,287,597,684,202,589,527,878,287,204,675,555,025,430,759,508,399,
593,567,067,328,585,476,541,155,968,886,117,449,847,810,012,438,943,157,435,
810,043,064,529,920,982,072,187,204,937,522,098,484,127,267,026,864,822,991,
750,006,806,555,104,315,702,004,094,580,482,110,539,314,130,598,063,763,538,
550,950,247,716,292,667,138,226,015,920,784,467,685,427,141,180,498,810,578,
592,154,760,731,684,872,227,410,769,918,891,227,808,767,366,048,750,144,570,
792,537,246,704,171,156,923,682,439,655,229,613,697,004,701,892,240,438,122,
138,143,883,224,143,529,474,863,938,159,529,326,816,648,530,986,152,141,925,
700,527,327,138,178,220,761,688,191,540,550,457,849,322,782,119,648,948,227,
255,471,050,453,705,314,604,400,202,183,808,375,843,882,928,152,979,542,411,
143,856,046,691,038,631,243,975,094,055,628,300,305,893,094,199,151,800,973,
622,118,943,155,661,486,719,330,901,355,753,697,028,384,447,471,567,476,190,
778,802,038,993,081,442,577,510,279,016,446,417,017,048,074,958,033,931,296,
075,456,136,543,746,183,227,207,339,414,084,545,987,234,535,564,855,710,564,
373,819,374,357,571,866,258,321,681,003,858,259,433,212,967,453,072,558,071,
823,047,714,622,241,084,452,162,323,917,809,627,216,863,019,307,557,387,741,
585,133,663,610,379,518,111,895,530,234,152,123,746,617,512,828,280,106,298,
218,549,717,633,947,566,365,200,601,655,369,607,502,848,620,110,098,739,932,
118,768,135,801,610,577,181,595,060,727,539,320,802,927,995,373,684,874,181,
258,270,719,101,917,113,374,719,901,934,218,293,017,358,787,234,604,328,183,
711,564,217,126,225,594,232,774,607,864,122,173,811,502,417,088,661,954,017,
744,259,130,535,918,700,972,248,090,836,779,735,991,634,134,625,771,005,100,
947,197,943,304,582,085,549,658,162,658,912,502,428,155,796,546,589,169,274,
449,578,655,677,293,367,023,616,084,175,575,956,285,281,671,445,641,831,842,
059,573,899,495,920,089,310,862,126,461,774,987,864,372,901,391,484,054,411,
765,065,778,159,763,652,134,051,163,384,871,586,735,218,896,031,872,542,469,
677,298,054,429,708,507,696,029,856,865,014,410,408,536,799,491,573,602,384,
561,820,180,674,841,180,728,154,000,439,164,529,348,948,103,127,342,853,860,
273,459,379,795,239,431,250,617,742,005,028,079,786,199,069,872,933,402,776,
360,663,762,921,249,765,090,514,851,138,641,013,280,468,865,703,839,020,428,
301,749,733,701,906,732,611,605,266,778,189,469,123,374,752,266,641,606,817,
117,729,857,321,303,324,869,055,945,603,843,904,796,172,809,392,037,437,278,
400,396,364,180,629,540,951,426,980,042,583,758,845,035,951,313,259,121,229,
839,157,150,682,174,350,325,225,112,503,023,322,702,430,288,561,020,493,869,
007,572,381,593,658,497,450,575,979,779,454,502,829,205,563,370,273,955,493,
200,064,297,283,276,635,015,297,581,010,431,192,276,653,976,783,052,850,809,
087,577,142,868,047,259,396,753,878,317,110,126,410,151,912,397,779,205,543,
215,481,471,156,829,084,869,345,033,152,339,071,278,326,351,537,901,575,647,
362,721,089,997,110,987,716,001,646,686,391,100,561,219,557,675,291,000,691,
805,422,463,674,098,525,916,909,805,419,734,565,562,096,843,274,855,814,195,
606,008,886,229,938,295,510,675,954,798,550,238,225,577,020,439,493,057,550,
606,771,497,155,476,956,563,955,019,849,833,944,702,360,357,858,619,578,618,
426,217,988,441,718,292,733,473,360,452,053,314,473,217,232,364,102,429,458,
654,251,614,937,428,760,054,353,825,707,438,581,338,732,750,806,730,459,605,
106,225,658,594,458,707,076,232,947,929,032,952,624,297,103,205,524,883,334,
045,373,854,435,378,539,057,789,242,246,429,809,146,648,788,888,705,127,481,
099,453,539,514,238,531,349,761,289,000,347,625,873,075,915,931,837,608,618,
365,290,753,291,133,707,765,382,460,122,017,938,329,847,005,250,239,054,334,
754,643,214,491,710,865,872,117,923,183,612,694,152,260,851,513,913,538,018,
707,527,554,907,564,331,698,505,772,816,380,236,382,913,853,671,707,915,566,
432,732,947,735,230,655,026,053,597,277,209,638,722,893,992,053,383,241,352,
125,676,437,631,235,783,070,114,619,464,087,983,073,016,161,754,606,116,198,
807,750,156,319,078,517,000,065,898,016,923,624,521,089,728,403,041,505,666,
554,180,058,030,756,241,615,073,482,985,945,229,649,295,426,038,611,758,838,
808,999,148,051,526,769,093,202,942,091,439,677,010,671,361,125,560,764,551,
923,838,889,736,005,387,420,468,922,776,259,462,945,980,299,795,716,202,664,
711,173,743,827,740,115,737,537,718,603,515,824,105,493,567,533,371,690,231,
905,515,256,272,269,399,395,338,356,416,575,880,869,948,372,935,216,112,194,
195,162,212,908,017,136,416,791,756,932,814,373,742,766,843,428,170,957,302,
585,636,515,530,162,415,570,824,695,312,529,938,007,440,597,654,604,149,431,
441,564,526,077,599,945,847,666,647,760,049,668,887,602,540,833,299,137,177,
580,958,624,048,403,712,780,579,440,636,449,481,512,882,091,581,017,044,582,
748,714,784,155,215,785,890,726,675,114,107,642,434,541,407,539,898,862,095,
678,651,888,232,634,256,550,358,954,275,278,563,899,811,285,712,688,276,336,
236,629,236,883,633,098,832,281,127,446,417,060,292,565,184,695,016,201,815,
939,560,548,938,583,194,509,381,426,053,210,822,905,576,447,990,418,124,298,
850,801,084,151,445,675,151,035,452,500,096,311,752,794,113,228,167,631,669,
421,020,897,271,423,371,915,001,915,716,214,194,907,259,215,723,838,348,564,
300,802,163,667,364,275,502,679,948,061,817,576,987,391,927,735,880,789,300,
510,059,760,802,431,242,970,310,910,155,401,194,196,509,789,815,415,576,674,
085,465,163,861,286,499,239,551,930,779,448,006,585,748,088,512,138,654,177,
869,508,850,041,860,959,940,060,739,939,978,114,209,123,154,678,813,691,356,
677,010,617,549,025,489,372,165,357,258,557,951,302,162,495,551,543,687,771,
653,228,237,581,886,569,839,901,648,186,441,616,132,456,667,590,931,327,991,
919,144,847,634,588,346,898,954,443,260,433,991,334,596,844,331,359,644,089,
389,707,147,353,498,507,638,871,745,830,659,729,516,441,735,113,164,930,373,
828,912,306,869,699,487,337,641,036,770,344,403,690,569,623,388,624,437,632,
346,283,914,789,628,366,063,893,745,051,148,241,968,400,562,743,277,125,954,
477,856,423,903,500,962,325,896,674,015,893,040,159,130,764,491,991,960,417,
517,533,120,197,457,434,090,437,560,558,241,771,914,790,731,399,393,691,932,
811,564,647,338,202,691,149,479,359,326,381,486,487,766,677,260,338,065,018,
835,746,095,643,988,967,187,909,888,491,638,508,259,303,881,611,499,865,386,
562,311,373,717,771,140,319,224,451,428,490,034,729,160,808,579,416,131,736,
912,907,891,159,921,227,821,436,427,589,781,106,386,008,444,468,252,618,800,
757,836,098,394,940,907,144,586,846,421,484,621,830,543,510,612,253,055,336,
533,708,414,926,603,145,685,624,847,364,304,521,110,278,639,263,866,349,304,
160,102,979,196,809,652,263,671,430,765,765,235,513,818,287,709,252,058,509,
384,238,302,561,016,147,172,642,827,318,077,938,831,987,155,407,323,687,417,
864,356,659,156,136,639,268,369,752,347,665,055,533,350,106,664,361,579,733,
542,147,354,282,592,947,201,795,438,456,889,719,274,276,553,086,841,196,127,
604,530,979,064,918,804,891,804,253,563,205,526,840,051,278,333,071,212,553,
483,804,757,883,111,532,194,992,446,575,710,359,254,786,202,083,397,703,892,
374,067,778,248,636,348,436,501,016,922,253,357,938,730,793,648,468,315,160,
172,810,228,047,780,528,647,887,542,886,834,910,429,413,913,659,288,184,080,
924,195,126,475,554,834,247,522,021,997,234,082,846,221,892,988,610,707,530,
856,436,781,142,556,483,815,395,218,715,238,996,801,466,955,559,614,194,266,
712,606,765,971,514,676,486,766,390,139,000,155,763,098,269,499,385,636,118,
635,851,496,573,571,407,050,753,930,138,447,950,057,786,085,405,669,727,147,
141,423,197,613,632,076,994,602,656,431,515,784,275,204,612,827,888,375,696,
549,712,003,953,716,201,720,756,226,376,425,561,449,832,035,008,142,811,761,
605,846,204,443,993,098,654,881,107,032,647,175,478,340,436,012,702,070,665,
013,243,348,253,692,610,332,748,256,176,539,000,007,180,925,858,608,746,363,
555,853,768,860,835,314,403,323,993,098,419,449,237,875,915,851,197,880,962,
973,155,177,279,003,504,666,862,244,318,046,434,891,511,829,426,233,746,768,
847,891,092,386,726,047,714,880,799,683,278,371,408,358,834,008,140,802,641,
125,197,271,483,931,790,098,893,844,716,089,186,302,704,952,265,336,648,003,
712,971,160,102,644,220,080,666,361,674,214,764,100,065,598,962,411,185,214,
662,745,937,722,885,533,503,877,597,020,567,840,587,363,535,786,519,715,818,
288,807,413,382,346,168,140,650,427,622,925,775,394,949,111,541,952,085,207,
997,701,670,376,177,788,598,274,349,010,547,764,776,772,657,692,537,665,770,
396,061,717,446,649,271,535,934,061,211,128,813,991,244,559,904,788,318,050,
974,955,316,536,158,803,833,749,580,441,497,475,384,079,882,111,270,086,704,
118,160,801,227,124,518,112,078,337,706,660,552,832,195,689,330,706,018,260,
022,111,423,825,653,121,427,084,393,036,891,494,639,120,394,040,394,478,385,
477,957,092,032,316,202,075,236,469,236,547,529,327,867,764,555,355,646,636,
485,295,046,024,762,497,097,726,283,848,036,308,586,188,878,528,847,103,050,
118,975,455,279,339,350,937,889,135,626,817,365,480,369,311,164,874,362,369,
320,323,267,190,846,409,750,742,594,754,448,419,775,113,827,779,185,528,779,
180,032,013,746,522,122,405,633,417,014,519,598,901,330,760,603,456,800,042,
853,229,178,921,055,158,108,320,640,584,125,587,407,333,812,690,577,674,808,
636,788,212,040,962,208,750,953,700,034,369,139,224,335,636,708,602,708,666,
870,172,770,311,596,258,795,603,637,224,599,319,707,790,649,956,162,836,845,
347,206,774,900,784,799,584,909,286,691,717,053,611,727,486,515,268,193,454,
842,932,984,411,293,248,104,620,507,345,794,912,278,146,738,540,680,406,124,
450,315,526,839,354,014,857,503,414,326,300,947,588,464,204,934,024,563,316,
724,489,539,265,824,261,388,578,639,953,503,476,891,370,128,515,792,980,667,
521,246,631,262,509,556,432,213,834,635,003,689,441,792,666,778,474,566,007,
193,111,597,410,154,648,882,277,016,442,771,544,422,746,408,967,597,513,237,
226,175,398,602,412,562,031,603,057,933,455,684,474,186,695,899,047,631,740,
856,050,318,672,697,702,752,182,248,125,823,900,229,086,001,752,404,521,091,
339,473,761,144,021,298,118,819,170,262,453,086,547,845,471,780,780,411,325,
198,734,342,545,490,662,605,521,138,308,968,790,596,486,944,048,403,802,701,
993,305,569,220,437,052,522,539,787,801,330,953,970,417,357,671,371,337,761,
780,149,330,948,754,138,851,682,304,053,949,066,989,290,934,816,120,588,578,
422,728,273,865,708,687,531,248,751,921,457,400,619,507,825,044,980,577,137,
421,661,766,880,898,715,675,620,694,894,998,096,241,213,761,735,755,664,365,
904,517,891,163,032,454,921,927,657,143,362,571,410,174,019,718,000,825,001,
603,810,249,943,991,762,449,086,465,445,032,447,904,598,958,722,550,493,843,
319,465,352,719,639,903,332,022,524,173,821,856,906,556,115,508,045,117,509,
057,488,970,822,296,282,866,798,691,371,169,443,896,933,992,919,251,708,805,
974,703,822,429,677,678,159,477,947,465,789,308,834,290,645,454,126,719,248,
279,015,336,840,485,099,783,984,110,455,107,555,413,447,419,492,528,920,493,
939,156,513,717,538,298,177,408,798,781,041,253,671,202,310,322,525,916,178,
062,201,086,564,073,406,313,516,522,926,261,004,479,531,639,970,551,132,882,
926,575,119,613,809,782,144,092,392,647,556,871,140,057,952,718,438,034,477,
518,947,355,172,992,833,529,315,329,633,152,612,718,704,059,545,271,317,883,
635,132,241,609,620,014,672,217,323,656,623,892,909,537,491,704,298,174,025,
302,605,683,356,340,238,130,957,994,126,827,928,265,526,392,271,487,373,191,
165,653,143,764,236,048,569,243,817,217,191,202,363,694,735,440,770,188,395,
138,724,729,466,349,762,225,457,624,602,822,303,372,507,543,322,101,372,419,
571,094,651,933,293,234,609,133,406,196,985,257,127,884,146,775,154,592,497,
655,028,468,892,575,325,462,776,760,857,382,082,310,179,351,144,351,820,388,
651,159,434,807,312,415,474,250,566,975,160,828,173,119,687,098,002,358,354,
403,530,296,003,000,269,803,504,117,869,170,740,552,424,963,111,756,237,679,
404,908,381,167,850,515,728,477,690,629,277,233,811,186,697,653,752,382,723,
453,602,019,198,534,216,578,933,587,210,592,060,641,296,270,320,678,726,015,
309,735,680,304,248,004,997,141,125,465,830,995,777,647,865,384,823,666,025,
401,925,482,468,907,043,174,787,680,459,139,687,709,328,296,204,090,149,833,
160,321,881,637,201,078,111,301,005,085,540,042,911,393,700,883,865,566,549,
723,405,392,125,822,795,493,321,964,100,925,434,663,638,464,158,390,574,521,
158,496,251,509,152,346,338,433,035,107,293,207,889,860,362,417,445,897,968,
419,616,784,298,359,714,378,480,543,386,817,591,948,417,428,633,997,111,634,
500,122,883,372,837,708,890,460,719,586,554,295,644,825,113,065,701,430,487,
377,277,630,178,078,707,145,349,768,905,914,216,136,228,240,693,253,360,907,
468,509,292,786,357,872,089,696,090,718,994,286,598,672,261,159,688,765,279,
576,828,653,560,326,280,679,173,983,031,184,627,742,337,241,543,899,481,942,
323,226,975,932,015,779,881,539,335,885,164,827,058,026,710,483,037,671,841,
633,852,229,899,324,762,843,341,277,298,353,790,942,629,794,102,096,821,922,
232,148,984,036,768,953,297,912,687,809,834,305,941,132,681,810,554,883,747,
137,223,440,335,335,231,387,657,045,432,795,888,992,981,752,959,150,509,923,
937,239,787,649,607,158,350,813,704,588,906,918,573,251,402,242,101,080,422,
288,159,844,850,807,476,839,260,836,144,681,163,979,390,028,703,118,811,167,
571,218,484,664,714,632,248,917,333,783,801,633,611,278,812,729,035,289,712,
406,239,212,233,010,111,421,307,426,328,555,710,834,726,332,046,654,182,165,
013,304,739,024,397,845,627,408,005,699,955,068,706,548,360,430,765,513,499,
068,688,384,007,979,866,506,434,286,292,287,067,891,123,481,433,620,760,412,
311,054,535,258,584,723,618,729,904,540,769,750,027,527,411,810,179,137,529,
951,010,440,020,529,973,399,215,501,271,318,649,151,747,299,795,787,757,733,
284,686,376,891,777,305,465,499,994,046,584,935,894,211,604,220,045,993,607,
552,780,815,493,788,108,326,468,614,829,140,409,336,692,512,363,973,440,666,
625,051,539,971,400,506,334,907,346,152,010,360,263,689,663,296,265,678,293,
684,645,251,412,619,249,971,300,797,832,216,071,192,372,857,373,391,499,901,
544,747,040,117,008,768,916,833,649,261,314,891,875,863,730,999,663,433,652,
431,013,156,497,348,070,765,845,260,130,312,269,601,835,839,935,665,634,740,
955,463,084,552,976,460,803,800,517,399,442,806,736,369,843,115,914,836,273,
091,791,965,010,615,968,405,328,071,186,138,444,100,782,974,250,786,134,241,
785,475,683,664,876,251,019,655,554,176,081,166,657,819,385,388,321,576,638,
488,051,726,002,199,349,681,537,657,241,208,411,186,074,816,971,724,334,026,
574,639,257,648,838,012,319,049,279,693,015,689,788,157,131,409,056,592,263,
200,262,047,469,164,011,266,743,705,457,909,401,136,799,703,373,491,105,931,
629,785,431,427,661,652,130,578,868,103,158,808,001,868,579,878,320,128,283,
181,345,931,492,256,856,734,470,446,798,211,793,246,086,348,301,351,438,947,
481,540,744,859,066,790,944,848,612,546,099,168,970,972,972,162,079,189,401,
449,846,514,141,377,028,019,658,205,962,670,781,846,283,936,866,261,720,249,
268,093,440,561,593,111,048,412,506,275,131,285,411,226,841,502,543,250,728,
391,172,184,141,769,872,064,261,194,919,667,276,762,974,487,636,504,580,870,
788,635,782,346,972,484,773,299,254,205,589,289,412,347,759,240,893,126,847,
499,556,088,832,452,110,250,467,779,188,367,346,746,656,555,305,762,624,170,
245,413,883,853,085,736,357,208,391,243,341,538,514,282,306,760,577,098,776,
685,105,735,980,111,455,048,354,406,552,277,425,598,288,263,280,095,685,945,
415,208,422,000,908,611,868,011,822,241,994,219,997,861,281,903,728,823,062,
973,398,819,483,351,226,536,147,982,317,112,211,915,333,663,517,512,468,532,
118,886,151,526,620,361,756,651,824,193,452,564,042,255,493,801,176,385,379,
479,579,323,107,730,609,167,741,591,910,755,095,817,256,616,016,958,785,637,
731,359,745,357,885,991,559,716,380,520,775,991,380,765,589,999,214,141,105,
799,768,319,536,279,839,595,188,433,878,053,541,404,638,990,784,427,011,702,
972,783,937,133,925,124,540,003,691,961,051,618,643,330,429,623,317,819,670,
501,371,245,240,734,890,582,994,471,517,494,632,157,396,106,111,158,095,635,
396,512,423,498,065,271,869,978,843,490,012,058,487,366,695,153,269,347,087,
309,953,603,208,417,847,934,908,505,764,261,098,432,274,720,828,367,533,733,
650,663,899,629,055,395,612,276,058,818,732,803,677,713,077,204,039,880,033,
085,384,388,720,356,995,992,066,508,578,246,576,938,169,965,927,731,831,675,
678,962,239,947,846,460,336,766,100,485,110,410,690,137,868,054,427,913,999,
451,940,703,056,674,811,327,062,151,295,729,610,294,815,213,148,602,129,496,
802,894,965,548,962,805,346,317,095,190,669,781,967,100,530,229,411,697,934,
174,779,434,802,727,951,662,941,942,644,298,816,839,202,649,068,517,805,386,
120,793,908,917,747,143,638,439,096,794,798,309,352,487,786,910,074,523,435,
289,263,865,806,900,418,469,780,843,009,949,384,633,873,498,937,723,164,751,
607,178,041,003,694,068,283,943,564,302,341,654,272,508,915,106,146,156,873,
143,896,438,458,566,439,387,660,686,321,757,825,905,969,835,136,929,760,639,
367,832,857,915,895,248,511,591,996,212,570,530,417,185,178,919,889,946,340,
747,142,196,822,129,023,055,049,821,990,941,545,717,604,826,155,036,338,013,
881,495,751,845,701,041,622,529,489,916,174,129,925,765,581,380,794,265,930,
747,837,813,297,742,757,910,848,227,057,036,198,564,420,946,590,673,321,858,
751,893,749,328,397,279,661,010,224,453,250,551,275,210,109,795,863,943,979,
952,367,984,368,032,082,492,863,370,271,597,792,538,993,208,236,861,670,789,
699,015,323,173,526,604,498,959,358,799,551,102,971,270,531,844,181,232,564,
021,189,373,755,549,557,144,892,729,240,099,926,355,336,835,957,980,812,294,
301,724,649,293,243,759,611,275,695,993,966,156,052,479,323,677,118,301,627,
032,825,720,270,711,005,691,574,847,238,689,239,224,867,237,802,408,474,169,
168,115,051,823,601,278,935,963,550,538,132,789,907,632,968,816,988,173,349,
328,109,748,784,189,256,261,016,901,780,118,463,706,640,323,157,241,134,519,
084,129,508,161,521,537,404,687,599,862,905,196,572,266,926,807,067,062,066,
299,399,309,803,234,668,234,084,814,809,059,680,125,058,590,843,493,209,945,
596,432,417,648,955,214,124,161,317,520,869,525,236,156,085,242,608,739,059,
842,541,666,442,131,478,689,373,180,814,598,877,609,048,285,035,518,361,530,
838,981,635,121,840,358,031,766,690,875,180,557,591,275,052,992,480,594,315,
146,304,655,173,039,876,756,682,740,324,346,436,587,672,238,796,000,889,399,
820,331,942,511,791,381,688,714,491,489,408,128,599,504,300,949,789,035,520,
839,706,513,478,998,886,640,122,560,619,317,161,394,594,171,551,273,808,984,
339,746,123,451,029,706,407,521,332,063,265,691,357,565,215,718,149,580,306,
574,260,416,660,468,819,594,874,219,197,310,753,956,609,206,975,894,784,790,
271,584,547,993,588,180,469,363,116,388,425,955,207,140,427,691,087,638,657,
301,285,540,828,802,141,256,374,328,538,373,199,523,784,166,748,039,554,423,
654,342,977,306,590,186,012,678,987,829,297,190,515,242,266,303,083,095,021,
363,289,590,497,344,519,076,542,128,960,274,302,397,009,530,938,991,412,596,
211,558,587,111,735,908,639,561,882,018,443,580,433,282,063,070,701,302,248,
207,283,403,547,957,661,993,179,687,668,947,888,502,044,151,811,421,900,169,
275,022,527,934,069,523,809,765,108,039,107,743,756,879,620,945,303,389,748,
983,930,369,105,564,669,433,234,132,927,480,058,323,495,507,381,091,697,282,
533,657,190,398,049,349,598,844,644,436,492,853,725,007,910,965,475,534,496,
897,235,961,492,887,649,013,806,064,829,182,834,760,475,554,901,657,615,741,
908,328,248,567,693,754,061,702,537,784,914,660,641,540,026,854,691,887,232,
794,681,191,591,510,733,261,697,248,086,542,391,644,640,508,948,177,753,899,
694,859,728,553,941,555,075,976,786,742,754,508,986,655,072,119,008,296,570,
284,752,649,271,921,084,847,824,153,347,056,133,835,897,461,531,700,910,929,
433,339,460,242,748,136,531,352,190,386,043,773,238,685,613,174,177,944,640,
084,779,391,440,465,068,741,600,747,431,519,243,740,414,442,860,136,124,207,
515,977,951,843,875,422,268,726,211,258,546,072,021,847,971,051,065,230,276,
683,922,289,238,130,166,648,804,960,405,220,561,748,344,761,280,298,026,267,
772,030,198,284,252,389,333,812,194,038,063,814,627,550,285,164,652,888,788,
985,914,263,910,100,112,155,545,278,124,176,103,642,285,882,353,313,963,020,
907,345,951,753,156,554,543,603,967,454,416,286,065,341,810,891,476,406,935,
985,705,709,046,892,908,781,269,545,302,899,617,084,624,859,356,181,241,859,
745,289,298,800,762,840,865,473,402,964,148,676,507,397,365,146,381,155,313,
776,449,194,152,003,254,348,005,268,283,758,969,397,700,835,062,264,628,027,
126,516,285,121,958,499,104,262,952,328,204,985,401,184,471,985,687,484,828,
803,731,831,747,729,847,284,104,724,342,738,018,120,584,964,669,539,965,356,
491,462,873,860,458,007,644,057,696,082,955,950,091,449,408,385,743,005,012,
735,064,115,109,013,530,268,286,021,434,816,802,782,000,457,526,324,950,420,
901,279,304,703,406,474,849,870,766,307,956,939,011,811,660,943,078,451,948,
191,437,945,567,348,914,352,170,093,167,665,113,319,964,817,185,126,624,974,
663,979,794,976,982,138,479,553,987,292,800,726,762,441,507,425,729,774,618,
727,188,961,557,719,767,153,934,697,441,240,092,777,279,302,058,143,131,460,
607,466,892,710,312,897,480,651,811,412,559,524,586,948,952,757,885,887,155,
254,673,407,002,952,011,970,272,643,908,202,576,458,876,795,116,060,510,512,
387,619,351,589,574,926,613,461,821,259,550,101,015,607,745,381,228,139,639,
719,283,254,212,628,077,834,348,925,843,294,690,267,636,046,632,404,010,956,
240,563,726,522,449,051,933,184,662,245,887,709,240,958,403,589,652,244,122,
559,449,605,995,240,358,145,805,922,419,126,631,196,004,169,998,474,827,642,
706,338,734,664,669,480,357,464,603,329,616,794,943,696,833,634,264,234,710,
385,731,832,014,241,025,642,533,808,319,284,781,986,329,326,952,927,235,377,
341,853,417,591,077,965,143,732,183,121,353,409,484,876,492,627,510,937,792,
807,765,967,989,618,261,410,508,398,989,390,078,486,471,780,303,294,922,941,
339,057,220,534,870,556,256,758,909,238,875,791,909,525,025,958,831,347,626,
241,945,649,378,486,445,818,737,883,601,589,098,219,035,245,246,762,263,216,
292,295,980,638,695,436,941,475,035,332,728,314,562,964,378,593,796,200,977,
192,968,851,871,075,744,456,695,874,071,017,452,690,528,038,435,016,497,634,
866,968,892,918,934,505,662,836,153,070,225,665,772,334,539,358,080,755,314,
346,756,150,168,597,062,312,269,591,856,553,383,486,464,802,988,844,858,146,
232,480,618,001,999,215,473,369,983,482,860,558,679,156,450,494,246,894,166,
293,813,814,972,210,683,454,299,798,729,472,131,948,015,803,972,856,174,587,
721,629,119,659,596,004,107,340,735,759,666,711,767,322,895,377,573,019,485,
359,363,931,411,824,028,662,740,655,167,982,582,658,313,822,573,063,960,836,
322,285,843,775,875,438,768,484,706,172,249,059,637,282,132,369,009,224,652,
089,160,627,269,172,194,737,838,240,808,489,468,055,267,652,008,010,780,413,
549,538,225,613,998,141,052,532,451,901,856,360,151,396,753,411,279,685,168,
677,251,806,637,133,275,620,306,746,665,647,640,709,773,767,265,437,547,932,
553,897,224,852,706,468,456,495,131,029,719,340,407,974,755,765,224,214,913,
952,341,186,347,998,078,906,035,533,126,634,896,232,433,212,816,257,177,261,
973,917,406,720,175,198,653,729,038,474,950,326,003,419,838,956,321,923,646,
475,127,677,288,520,382,518,867,932,871,754,045,176,233,003,575,804,601,808,
167,132,084,925,385,461,511,476,576,914,311,801,245,845,023,807,546,842,715,
049,464,524,465,376,272,417,239,462,739,449,714,321,368,789,681,726,400,615,
546,830,730,114,534,746,184,027,587,162,724,207,162,692,216,019,567,100,722,
114,625,202,027,216,426,280,770,230,349,774,894,132,378,656,713,436,860,538,
001,100,971,553,531,064,589,127,223,837,611,248,983,017,700,932,269,284,362,
172,922,666,018,399,557,514,258,375,524,759,703,183,581,521,049,406,709,300,
080,549,824,430,441,479,424,707,217,177,511,355,869,399,969,129,354,151,582,
730,084,385,235,758,197,618,718,115,060,407,116,509,143,045,751,484,854,016,
600,048,288,107,281,934,390,429,954,003,452,218,047,121,141,822,833,462,305,
734,746,350,733,033,381,981,209,832,768,459,975,651,295,191,333,898,285,297,
410,937,190,131,991,775,622,834,301,452,828,662,408,214,192,690,714,980,053,
079,535,383,746,512,399,217,943,550,144,108,004,142,456,673,249,202,631,897,
977,281,353,547,052,245,810,543,222,537,350,168,333,976,584,934,797,449,177,
422,688,280,753,553,848,315,416,244,681,297,661,533,313,252,826,299,710,218,
297,026,946,370,642,177,254,692,737,445,522,953,652,604,817,510,881,931,415,
301,188,310,791,427,832,413,177,101,690,918,409,267,076,606,359,083,406,412,
107,012,572,846,130,241,287,026,900,912,549,871,513,307,498,832,393,873,714,
470,048,318,402,213,187,604,924,653,790,247,433,038,260,635,667,644,936,623,
200,993,230,546,548,407,407,041,639,170,066,354,717,730,213,795,148,744,513,
538,655,979,620,523,544,262,230,994,622,251,005,603,815,242,053,027,067,934,
532,406,435,769,520,640,857,017,114,508,033,130,994,206,308,062,133,264,260,
052,941,873,484,771,630,822,783,966,012,579,316,383,692,477,335,649,386,328,
834,687,493,799,508,036,727,672,983,092,418,158,188,041,005,414,603,803,455,
514,766,267,627,824,512,373,312,465,328,282,302,851,356,161,664,584,515,687,
199,423,109,443,044,331,286,703,126,358,405,682,199,819,010,345,657,304,294,
587,164,044,048,361,360,621,968,670,393,201,680,800,299,031,562,595,040,330,
704,608,978,888,910,055,464,179,406,656,817,158,110,788,223,031,729,942,501,
012,478,471,871,711,273,256,425,484,441,723,643,473,581,670,419,682,991,945,
653,907,190,070,144,805,014,442,010,822,890,191,910,130,607,935,185,597,031,
825,117,003,868,765,979,581,486,919,444,283,557,865,923,708,685,124,249,161,
764,261,160,752,266,556,029,133,297,181,465,812,131,744,430,077,335,900,080,
386,065,171,536,435,573,417,631,851,434,753,506,021,302,467,426,225,943,807,
869,586,609,800,412,409,365,377,091,301,717,508,018,699,145,431,414,960,154,
987,549,296,956,348,233,358,425,585,654,291,058,980,850,954,088,546,859,095,
340,111,803,532,289,137,976,171,970,616,646,329,843,213,277,117,640,430,320,
776,700,299,652,129,484,266,451,220,523,553,315,757,305,222,361,393,699,680,
298,816,691,533,858,671,853,301,573,888,368,914,693,023,762,064,748,422,214,
275,195,404,893,290,108,592,099,512,609,646,513,231,939,013,851,196,794,745,
944,334,782,442,328,929,584,579,857,460,022,134,862,780,308,434,059,113,469,
520,189,378,757,289,118,552,528,112,550,199,831,725,917,929,161,602,328,481,
826,065,280,733,027,692,430,677,687,126,872,464,762,083,214,583,024,344,898,
355,972,567,769,402,107,150,631,066,840,979,201,627,786,581,757,512,480,013,
905,329,973,712,711,701,812,808,565,972,465,232,273,936,859,374,957,655,326,
031,991,408,419,716,093,550,954,358,066,654,896,406,705,607,731,011,754,414,
076,165,124,562,891,090,297,543,304,308,931,950,313,287,950,142,122,008,668,
867,042,289,209,791,821,095,160,444,310,804,579,125,243,032,803,326,625,890,
853,495,932,507,497,705,920,587,429,164,133,640,665,624,639,239,626,807,610,
991,632,278,857,726,750,827,987,873,842,413,834,597,785,625,753,405,105,257,
221,483,145,178,793,205,970,577,942,206,704,011,400,695,113,579,565,687,342,
922,764,736,540,015,136,268,783,559,989,696,942,550,703,617,172,178,903,047,
234,589,319,799,916,010,632,888,906,400,282,423,251,902,796,806,666,745,160,
533,649,612,199,541,317,395,046,601,665,043,649,468,026,868,682,169,448,500,
269,504,198,145,374,064,905,537,291,471,759,187,853,926,814,020,115,767,513,
779,672,308,554,809,197,225,051,980,891,631,541,655,951,347,677,435,077,147,
831,136,501,923,709,108,783,711,330,187,152,464,627,838,502,419,261,694,687,
710,670,314,745,060,914,902,141,643,924,820,965,314,893,785,919,641,272,705,
824,240,476,575,852,633,795,709,073,518,596,890,605,146,935,703,183,288,398,
137,160,304,504,047,654,397,630,896,971,755,566,201,117,346,282,153,611,477,
719,910,068,657,618,669,845,914,938,092,084,867,814,986,290,767,272,910,798,
647,124,133,277,797,462,994,990,834,273,299,997,412,211,047,957,869,647,051,
270,613,083,984,368,444,697,389,103,157,958,609,107,518,522,095,676,206,431,
186,917,851,255,884,458,345,614,266,539,053,114,654,359,693,461,979,490,042,
325,530,429,946,517,815,913,408,310,542,447,723,665,559,689,175,258,983,523,
432,790,831,174,030,362,754,003,251,651,689,858,621,748,293,478,074,312,038,
119,272,637,856,350,314,080,228,953,442,380,245,692,010,758,465,902,546,959,
347,052,953,541,214,345,172,912,607,567,475,228,804,036,754,300,635,108,925,
464,130,802,691,572,801,221,443,558,427,040,683,235,745,169,858,565,914,525,
033,712,885,933,238,190,106,958,100,229,287,588,894,328,325,745,757,733,503,
927,546,205,536,371,126,500,270,613,059,645,458,571,675,408,061,147,821,337,
018,535,668,939,443,426,965,262,470,316,193,885,559,094,162,457,547,712,469,
851,205,785,780,104,008,412,940,444,486,415,400,946,184,301,125,124,836,278,
555,211,344,058,229,698,028,483,475,882,137,376,297,589,760,379,574,502,853,
891,155,808,989,602,833,996,808,717,060,980,172,694,736,583,100,070,557,535,
283,447,466,913,582,896,729,314,398,292,767,857,202,025,427,582,422,929,158,
353,838,950,517,482,941,747,617,451,029,463,759,257,989,106,148,542,572,467,
344,581,131,628,304,064,334,091,156,172,289,859,371,426,503,486,913,926,753,
643,673,475,344,034,232,913,267,751,302,661,156,673,428,361,439,250,455,150,
502,317,248,990,774,071,834,009,640,576,828,214,217,450,025,076,510,441,924,
402,188,766,291,587,961,464,388,202,353,067,392,419,325,641,227,010,225,145,
565,382,504,468,809,680,336,846,709,069,258,340,764,729,998,426,438,376,668,
315,879,675,338,506,570,985,890,943,789,624,987,119,500,258,249,138,629,678,
612,351,200,878,785,518,385,783,724,792,973,904,337,812,889,081,808,659,613,
319,015,728,757,066,941,050,582,890,076,799,931,098,859,145,137,743,208,214,
155,690,232,354,483,318,422,767,283,839,065,029,642,782,327,570,080,543,566,
569,243,145,604,458,737,546,528,463,825,802,623,860,849,643,960,957,314,455,
038,354,075,658,252,273,931,971,538,239,563,379,280,636,016,436,378,839,338,
050,390,128,588,397,708,248,634,832,655,778,769,155,760,934,677,029,576,908,
957,126,187,125,591,061,748,611,146,470,131,725,868,475,305,033,720,827,508,
640,662,366,115,336,851,549,470,824,768,829,871,994,039,098,954,498,976,058,
291,943,171,683,821,964,595,356,956,760,306,691,253,780,881,963,152,400,326,
693,237,647,804,233,567,731,594,469,137,453,729,016,263,956,728,238,797,887,
976,973,051,914,798,286,464,764,562,777,526,207,788,274,615,109,853,581,594,
292,979,298,159,726,518,761,978,630,775,898,072,399,197,646,484,780,923,089,
150,478,540,369,149,971,711,655,086,456,497,939,159,439,116,476,136,076,256,
083,576,620,743,375,179,417,629,536,510,160,523,974,877,129,285,841,731,348,
272,600,344,443,321,756,985,164,145,162,912,503,303,658,302,959,369,651,293,
661,808,692,036,340,827,941,866,958,368,225,300,124,775,921,132,311,135,821,
728,815,266,206,479,254,221,893,895,625,865,026,619,788,669,864,629,977,686,
190,903,678,811,533,169,719,308,664,719,011,386,427,127,442,862,985,793,897,
575,931,431,873,348,902,313,952,534,398,568,128,050,016,159,511,319,376,935,
119,593,871,318,992,730,390,699,297,244,823,465,510,762,656,987,703,027,735,
919,548,140,864,606,510,251,176,987,793,270,649,219,009,167,215,733,029,557,
170,022,600,328,688,986,179,406,860,537,180,591,022,722,718,799,556,159,897,
656,583,547,940,387,217,906,851,913,830,648,536,817,086,904,068,425,910,462,
469,671,315,333,634,261,412,817,629,112,693,726,466,420,955,734,523,564,269,
561,466,523,028,666,515,307,529,905,364,327,937,113,520,996,862,274,913,509,
299,495,548,697,228,144,036,110,335,724,520,772,794,699,972,489,812,123,246,
125,589,892,373,177,697,232,196,066,494,730,837,287,504,702,286,652,076,969,
751,066,810,852,728,803,244,940,618,092,493,666,574,360,230,834,027,625,838,
487,147,872,643,026,502,031,708,148,684,593,553,316,549,822,321,677,942,141,
429,674,107,215,927,821,640,976,772,537,901,696,716,949,128,772,815,607,332,
930,611,391,305,046,269,665,624,408,211,785,675,076,171,186,156,119,760,545,
311,658,058,852,242,544,349,977,399,965,560,111,324,939,881,855,724,500,875,
059,312,966,563,728,706,692,809,952,903,623,740,236,166,512,496,601,187,397,
921,624,127,459,264,501,344,409,688,639,188,629,342,633,470,372,371,564,537,
491,374,113,782,057,477,951,159,521,039,890,533,543,090,406,190,608,590,341,
013,929,889,376,943,318,732,396,182,740,940,359,247,287,518,895,093,028,421,
223,818,108,270,732,718,521,481,424,278,338,773,122,877,133,748,442,909,206,
861,621,115,237,616,803,328,844,885,516,545,836,736,072,904,279,146,931,753,
549,094,683,239,894,316,445,260,826,063,906,499,429,548,110,647,879,377,869,
845,141,780,065,563,299,082,052,344,447,764,786,209,710,187,361,642,807,961,
398,550,707,843,373,488,586,872,406,858,771,067,590,518,072,087,978,865,058,
827,617,236,005,988,868,174,704,579,261,762,192,700,772,409,314,636,962,193,
679,981,295,961,414,593,821,482,039,675,514,503,010,542,709,638,002,587,242,
662,050,778,688,856,856,709,032,679,018,951,689,910,397,209,454,509,277,903,
622,744,181,416,076,678,805,293,468,156,254,915,287,493,041,037,520,168,877,
238,028,762,897,005,955,876,474,117,389,920,940,623,197,147,454,921,374,273,
345,160,565,697,813,309,407,172,632,416,313,945,984,377,232,964,287,451,388,
677,169,289,164,888,834,803,329,947,868,414,740,309,694,063,332,228,547,803,
930,111,790,473,726,171,769,361,119,693,015,117,419,229,949,202,549,066,180,
475,071,180,977,111,424,713,597,591,314,067,460,802,369,752,147,893,491,721,
834,083,270,218,649,391,539,897,305,171,901,749,088,270,843,341,484,747,217,
372,762,975,999,075,334,897,244,594,759,743,139,992,509,019,964,448,609,391,
453,074,672,263,231,473,310,422,416,236,796,301,526,056,854,131,702,065,384,
804,351,230,364,537,918,470,149,811,448,041,323,027,036,754,242,491,309,345,
058,763,953,823,234,915,727,170,219,194,344,848,719,836,221,550,621,654,837,
581,964,733,119,961,886,800,313,532,424,926,193,475,206,474,061,779,308,897,
338,188,786,331,696,775,974,388,812,022,204,462,967,295,181,387,250,897,747,
820,792,415,562,204,374,680,767,529,014,138,634,458,523,007,442,488,093,884,
841,639,244,558,002,859,904,200,531,210,667,028,860,074,596,269,911,391,083,
349,341,665,746,625,362,640,994,111,179,418,446,774,583,884,040,887,644,755,
972,460,110,594,282,621,881,488,232,915,614,606,785,015,016,804,917,187,052,
020,210,017,878,416,175,475,445,713,372,446,192,609,712,009,893,838,150,589,
120,938,965,140,471,094,701,409,323,349,650,580,974,778,695,689,361,888,920,
424,852,508,593,324,724,626,814,904,323,457,186,665,133,997,794,630,659,188,
285,958,427,388,675,391,523,355,548,878,983,693,298,751,087,939,425,913,975,
890,342,561,779,318,928,413,132,537,248,334,968,034,736,955,193,396,511,385,
584,735,116,850,895,634,937,990,790,632,532,579,687,517,237,247,705,000,877,
861,565,175,626,797,724,055,001,494,721,886,258,718,109,871,138,203,968,160,
233,663,225,121,633,963,955,091,197,009,872,406,988,999,212,067,254,034,332,
042,027,818,494,807,141,845,420,010,121,545,634,402,098,959,217,692,278,278,
672,556,078,239,567,865,109,401,555,619,109,159,989,981,464,797,812,548,493,
197,598,471,458,438,090,328,016,120,204,484,719,138,700,411,328,420,223,918,
541,995,518,603,968,119,155,833,750,025,551,248,892,969,076,843,544,134,481,
257,554,568,194,772,281,947,627,355,805,051,909,506,137,038,780,920,578,641,
334,410,680,122,908,680,986,989,625,862,953,821,262,066,569,505,587,270,761,
637,208,303,564,323,471,708,625,984,920,150,908,672,948,732,272,459,246,398,
029,615,254,096,722,747,914,910,557,835,339,272,958,615,425,256,976,746,311,
796,076,423,520,425,176,054,246,849,081,345,178,580,612,712,310,859,692,510,
584,436,201,093,547,856,469,729,845,539,296,241,745,244,417,261,074,220,018,
266,919,306,772,640,518,917,134,870,139,192,404,635,401,930,487,000,670,588,
620,192,093,213,565,835,151,731,065,498,088,601,315,826,829,456,022,514,846,
885,116,540,184,426,133,152,018,552,291,181,104,483,358,896,821,915,237,642,
436,044,412,641,103,817,172,202,424,276,834,683,352,251,373,671,425,117,934,
957,290,457,105,358,527,417,312,878,048,763,700,822,863,015,199,695,254,919,
826,315,190,305,907,790,867,390,910,482,097,142,138,284,143,236,193,609,438,
890,896,847,794,458,424,897,661,260,511,059,803,582,307,734,363,376,020,498,
059,179,910,791,605,576,041,296,457,614,352,095,344,481,814,470,296,276,615,
339,381,212,233,769,456,735,623,582,749,872,026,932,205,607,721,463,992,395,
022,203,765,914,764,601,275,480,964,358,506,208,200,813,748,847,037,755,067,
359,890,125,333,324,149,421,555,522,140,758,753,554,862,227,969,253,376,785,
168,969,654,080,964,898,645,724,476,770,260,897,983,395,605,484,903,151,818,
244,383,845,135,064,329,766,480,096,669,806,602,172,583,126,880,770,797,274,
576,446,944,265,333,595,663,489,908,979,734,581,712,249,079,828,665,255,183,
796,211,372,485,395,330,233,787,019,571,682,072,255,945,664,261,915,110,430,
523,045,959,748,668,015,233,275,918,613,647,231,776,522,460,345,110,955,504,
563,181,260,620,792,603,597,493,933,842,922,628,152,816,225,073,559,598,881,
880,886,909,544,639,766,752,940,083,093,957,703,099,244,930,886,858,638,800,
869,868,886,057,806,115,295,906,575,802,627,353,914,970,102,552,146,607,482,
470,290,764,011,663,047,361,131,982,852,777,024,977,713,852,347,298,037,017,
524,546,443,538,306,803,616,656,618,028,094,014,173,206,919,671,425,897,171,
808,588,720,251,018,852,482,144,055,841,970,443,087,234,472,927,232,137,476,
025,782,393,336,244,880,233,488,636,828,202,850,222,817,638,023,101,434,470,
992,879,534,650,949,076,016,662,420,360,553,198,478,298,412,604,217,474,578,
571,474,806,068,708,670,749,468,500,634,252,261,607,286,248,093,525,098,321,
842,794,815,777,813,989,446,127,900,537,551,245,397,680,390,297,671,491,252,
014,587,335,294,744,424,337,443,632,086,262,824,765,149,211,409,275,991,714,
360,963,384,209,193,368,325,110,111,512,426,878,754,375,680,927,707,880,452,
144,779,146,542,190,795,981,829,827,122,725,370,251,872,700,464,028,163,346,
306,366,050,711,782,404,652,005,793,586,818,789,683,306,119,825,131,449,077,
159,330,351,046,125,145,411,002,556,761,472,269,451,740,614,768,238,574,703,
864,219,176,201,536,339,581,227,792,590,274,362,114,909,572,233,082,191,974,
270,813,713,280,957,440,475,063,386,911,323,861,842,842,237,188,727,719,452,
225,059,981,190,745,089,315,537,450,299,057,620,253,065,845,722,665,968,537,
210,099,155,760,496,252,780,012,778,641,222,981,939,213,767,947,653,334,009,
985,976,133,452,050,385,765,712,952,775,301,762,206,600,555,468,397,894,641,
968,107,663,873,807,721,084,929,254,611,888,876,618,136,782,039,407,015,786,
979,293,135,795,007,755,698,449,808,553,785,502,256,641,061,927,624,110,149,
428,179,886,049,792,684,779,761,368,647,832,884,830,846,120,185,208,043,444,
647,943,332,845,439,184,846,063,997,612,236,368,066,659,388,833,177,637,280,
242,483,605,653,668,905,671,932,469,517,154,720,196,698,354,999,487,617,422,
840,484,091,414,343,775,000,610,831,790,115,343,851,809,765,180,894,180,395,
124,107,894,988,347,924,495,255,430,917,404,550,568,191,950,394,553,357,705,
602,817,772,480,346,346,833,377,709,298,955,395,499,875,008,558,746,101,624,
905,431,296,840,552,865,668,084,608,938,327,225,785,320,567,386,253,080,529,
547,316,078,750,374,325,009,832,793,556,782,693,031,496,600,929,912,023,892,
562,171,635,644,280,585,711,760,572,467,081,289,948,484,628,217,035,810,210,
670,146,327,101,366,575,505,338,530,393,544,192,947,546,837,362,416,725,712,
158,299,758,647,844,440,155,543,704,577,317,036,643,554,167,674,458,529,110,
972,678,754,458,597,909,187,929,108,005,334,099,387,677,244,092,379,338,317,
029,226,015,220,339,049,225,406,122,235,072,693,190,226,805,316,190,534,958,
522,005,862,962,249,291,351,788,107,320,487,347,745,761,020,565,409,714,300,
431,042,752,447,584,193,659,086,939,660,650,847,108,255,417,309,513,233,325,
221,291,071,090,116,938,175,484,289,967,933,392,545,996,306,167,882,410,641,
467,462,605,060,610,401,170,605,566,314,640,899,180,364,778,627,560,356,135,
554,116,217,591,919,735,382,297,025,183,718,578,323,483,990,181,125,164,044,
325,685,741,317,008,231,954,099,316,587,861,828,207,863,267,333,458,503,106,
226,196,778,195,720,046,661,228,904,058,536,270,142,201,659,450,803,620,581,
325,524,377,835,413,268,408,846,426,610,781,167,150,758,793,407,439,077,062,
153,812,735,260,672,139,868,373,103,736,781,345,530,678,118,214,968,054,768,
630,070,407,051,873,340,752,866,456,154,716,293,162,421,377,313,091,248,880,
599,006,430,789,665,928,459,394,937,973,167,599,025,179,771,712,847,025,993,
293,833,086,730,911,604,184,543,244,783,019,022,286,480,192,307,716,949,179,
065,584,040,881,995,125,039,010,718,026,091,639,259,735,089,877,618,922,123,
714,830,222,630,754,994,545,949,799,378,979,978,637,581,280,508,838,026,629,
586,696,733,156,076,377,571,962,305,863,214,469,315,813,322,131,907,044,524,
089,868,429,587,408,593,410,442,290,759,222,429,751,071,141,223,336,513,323,
739,830,867,623,427,908,052,475,111,222,430,757,709,802,917,060,922,154,016,
310,955,232,959,289,906,515,219,446,016,074,749,758,651,586,314,357,021,998,
653,634,885,191,274,424,606,147,657,920,300,083,976,578,586,466,930,864,923,
616,180,871,652,273,173,345,710,333,337,861,138,909,245,652,438,872,332,833,
276,212,924,428,396,941,248,136,201,330,964,675,132,796,470,352,687,205,103,
642,510,210,909,521,220,391,528,613,874,428,655,293,807,400,026,775,299,380,
954,219,872,852,719,122,904,088,818,694,970,727,443,601,446,038,690,877,567,
146,931,665,901,024,190,700,810,905,791,909,072,379,127,716,295,666,110,873,
273,344,130,595,186,860,206,757,954,582,597,542,321,006,339,262,385,347,706,
904,781,621,270,481,657,805,752,447,934,874,612,481,482,603,895,843,277,337,
267,988,666,696,177,459,836,773,527,385,365,963,384,576,948,964,540,510,371,
495,942,293,069,176,034,275,558,631,195,499,255,302,778,922,044,659,145,745,
798,000,060,519,354,980,194,896,711,102,126,919,976,941,074,060,290,830,449,
954,139,210,375,605,826,260,801,149,202,108,062,925,609,294,424,803,696,399,
532,190,720,772,983,011,252,448,928,522,545,348,888,335,027,304,919,822,528,
762,394,091,016,427,357,862,535,612,257,912,033,948,624,268,787,694,509,169,
541,380,780,700,112,901,706,479,178,548,509,099,853,635,225,763,087,892,632,
945,260,609,232,845,118,774,819,473,041,355,919,443,182,728,524,138,637,752,
499,766,618,470,216,316,442,224,301,743,817,565,533,777,711,342,508,662,245,
877,116,803,608,550,115,160,457,235,069,654,782,981,264,411,528,490,732,176,
294,748,851,328,564,361,760,521,229,435,979,644,759,974,534,255,244,198,243,
741,744,473,517,097,808,443,078,051,300,495,904,139,079,235,153,585,154,782,
216,962,080,568,638,917,665,754,091,596,001,054,326,118,383,909,322,266,918,
649,766,783,565,187,159,308,220,405,078,860,674,318,909,126,289,114,253,618,
926,249,804,357,779,257,434,585,731,324,610,747,814,370,284,781,586,299,058,
030,805,057,995,055,930,371,665,094,662,039,363,618,510,215,966,141,162,995,
177,353,959,143,638,782,030,047,462,755,938,224,240,418,672,200,156,346,783,
631,947,763,400,179,129,646,598,239,554,041,271,238,527,043,350,534,430,572,
490,193,236,130,324,210,124,994,897,720,913,991,366,044,967,049,040,127,767,
790,086,255,686,055,102,232,198,445,639,445,136,403,916,374,432,814,632,385,
007,462,052,161,391,708,262,769,148,171,125,337,543,402,621,420,563,692,157,
586,459,212,832,504,826,346,539,841,053,275,721,273,351,397,485,394,254,223,
057,773,762,448,178,195,063,198,014,603,099,551,433,583,497,511,130,560,409,
451,922,208,110,768,874,200,656,787,807,468,202,555,453,412,212,604,665,563,
697,106,193,101,584,536,442,537,703,382,445,878,885,154,768,457,024,449,423,
815,087,627,673,173,768,507,027,117,213,974,522,690,726,989,750,576,073,942,
824,168,041,819,987,475,131,417,633,419,949,385,549,148,767,507,639,852,435,
112,044,579,300,067,151,084,697,931,391,508,588,972,009,617,508,806,821,312,
751,441,006,103,230,130,384,547,768,773,113,322,281,146,417,829,027,441,012,
157,110,965,370,174,930,237,201,275,759,990,133,263,697,511,252,183,181,153,
761,811,551,176,258,854,786,553,244,142,653,067,646,012,158,037,758,358,552,
692,814,315,165,023,445,305,796,889,276,823,341,627,884,895,945,916,399,474,
075,474,267,090,406,954,410,700,649,077,579,890,620,077,808,694,844,068,738,
067,674,120,179,653,035,739,817,431,233,324,882,299,286,319,946,229,207,090,
186,350,214,325,916,770,795,330,500,872,851,091,768,723,556,860,141,666,087,
024,405,361,041,855,333,698,875,974,084,250,096,300,191,059,730,557,518,121,
116,583,797,086,100,898,867,751,316,968,630,263,017,200,585,318,521,703,907,
785,674,945,562,783,966,788,069,389,715,398,401,520,458,688,511,101,549,262,
524,963,099,074,425,087,552,450,570,081,917,263,115,099,386,907,112,632,079,
137,556,018,799,936,530,868,894,936,982,466,356,567,551,377,691,751,698,240,
572,559,912,820,450,584,438,848,927,792,903,414,233,806,818,488,010,412,439,
925,465,503,451,953,881,768,444,729,837,743,836,074,261,821,760,172,299,198,
767,506,287,911,384,048,713,389,393,562,713,030,944,266,052,261,414,404,531,
240,581,630,145,307,222,706,305,394,429,028,241,983,185,353,338,365,554,527,
537,991,740,049,161,432,684,911,718,251,230,814,689,067,135,194,930,398,771,
779,335,760,680,185,764,463,716,367,630,491,755,238,318,830,670,408,772,078,
153,236,841,881,642,648,063,053,151,313,589,594,264,787,520,097,057,698,226,
402,977,748,264,424,535,948,373,445,680,493,096,092,621,138,600,686,099,235,
948,903,351,011,477,347,385,931,090,657,028,162,215,125,770,921,810,762,668,
622,558,808,680,772,007,054,847,569,242,492,743,641,434,993,493,312,076,119,
971,360,620,898,496,063,497,355,896,942,641,772,603,472,838,104,479,474,993,
260,391,774,774,932,676,474,755,643,530,956,958,527,156,127,888,649,869,544,
338,519,414,361,316,464,504,791,057,598,378,631,051,633,644,434,303,090,978,
122,129,679,782,779,375,735,924,635,643,407,709,445,807,380,451,624,918,936,
285,455,369,123,797,590,984,977,808,891,794,668,753,843,462,178,276,695,719,
074,700,506,894,833,487,411,989,084,882,702,658,369,915,825,513,640,299,570,
032,460,352,101,216,235,383,089,985,161,180,603,897,564,424,396,870,263,012,
163,032,654,959,574,591,003,545,346,775,599,275,433,704,701,673,123,914,824,
095,313,555,679,731,410,787,738,884,617,422,929,430,050,792,153,680,083,256,
129,442,050,055,177,732,517,156,699,886,426,411,830,874,057,300,757,710,104,
042,497,152,044,056,625,167,378,647,398,251,089,099,299,437,520,595,705,338,
835,157,450,906,520,564,581,981,779,967,039,050,197,735,156,294,098,470,291,
239,769,235,157,567,937,935,545,919,195,781,244,356,987,217,226,523,538,515,
943,221,848,306,945,725,613,012,742,078,094,371,199,861,766,291,617,628,447,
180,002,535,999,721,664,288,298,092,013,271,056,274,463,827,185,637,631,061,
903,776,926,589,670,174,453,036,809,998,094,505,229,925,633,248,625,971,499,
219,868,130,263,534,767,231,437,812,378,662,247,869,245,924,703,144,244,367,
584,302,738,860,331,674,938,018,305,433,855,752,086,980,084,099,583,328,707,
873,255,594,048,148,859,365,264,325,182,587,512,331,112,091,033,570,278,173,
405,832,212,666,034,035,489,750,835,545,031,210,866,443,917,390,102,488,751,
791,209,770,990,772,491,815,665,687,987,727,210,276,355,089,891,422,762,869,
235,931,921,641,800,315,819,729,542,500,407,716,009,565,586,082,702,342,753,
680,950,473,143,283,480,762,656,510,177,802,361,429,934,181,215,009,501,832,
539,510,671,837,135,161,345,180,882,788,423,088,523,644,828,381,377,348,753,
832,138,825,900,280,161,696,010,711,051,638,883,604,242,394,241,474,889,822,
449,479,977,600,279,203,519,503,916,621,201,119,209,379,094,694,783,550,898,
054,631,815,396,843,588,978,041,271,789,199,540,829,467,716,442,978,327,694,
245,503,519,527,771,455,389,956,088,921,206,583,958,419,406,741,691,641,959,
996,226,509,395,335,092,741,241,320,323,449,097,131,980,616,077,346,666,924,
011,086,195,172,844,146,474,897,432,155,167,801,002,411,072,053,924,296,901,
196,250,273,569,090,727,366,659,180,680,845,935,179,547,905,049,545,340,986,
209,705,088,981,990,073,116,880,940,947,378,777,096,325,442,606,541,248,113,
136,601,029,424,098,818,695,373,906,302,527,094,877,803,017,382,247,237,450,
630,115,491,968,657,027,331,107,778,001,591,199,301,651,801,054,242,161,410,
626,558,701,931,823,602,006,186,971,762,475,739,654,926,370,912,265,843,303,
154,506,655,535,827,825,954,024,534,349,830,904,244,820,218,447,500,262,213,
249,615,273,086,675,907,799,031,861,236,222,887,697,242,894,419,390,727,886,
388,688,563,389,917,376,188,399,837,342,424,038,673,568,931,114,932,586,856,
201,616,193,800,004,722,123,923,528,965,644,851,261,025,511,936,836,010,504,
279,059,954,021,818,390,711,928,425,146,647,051,374,582,687,925,227,794,474,
670,177,520,505,517,970,678,163,504,775,684,076,735,906,618,045,716,573,971,
184,293,096,307,593,861,541,065,247,066,160,345,769,314,616,732,525,211,210,
948,496,557,172,468,396,640,397,616,708,580,165,942,258,142,157,614,576,756,
229,733,073,268,489,509,345,826,726,353,180,895,320,703,462,565,774,436,264,
761,401,126,371,270,378,880,243,977,523,614,533,677,335,331,574,281,527,715,
401,217,498,159,697,593,923,118,333,877,487,254,380,977,968,418,869,292,739,
458,466,470,488,135,498,246,094,914,935,936,645,785,283,892,871,611,620,620,
829,752,933,086,665,871,014,358,527,223,673,644,506,854,806,265,725,935,591,
897,229,092,168,509,296,629,860,686,141,002,860,012,382,565,577,917,318,773,
513,456,702,755,107,858,826,517,117,492,194,088,267,512,182,241,725,854,600,
526,260,919,187,247,923,203,470,597,250,888,129,610,981,349,272,228,761,327,
859,241,124,992,540,628,510,776,797,558,716,711,380,868,550,692,678,913,437,
165,701,459,789,628,275,536,336,358,852,487,697,959,635,033,899,626,819,546,
648,595,153,488,698,437,748,069,813,555,841,485,569,292,021,854,969,389,987,
838,353,495,651,031,027,529,295,760,564,302,161,919,251,483,555,043,406,304,
068,524,239,888,923,765,996,281,889,555,721,420,371,874,417,476,011,846,094,
181,630,027,178,900,728,085,971,526,216,524,190,650,285,244,529,228,229,062,
897,401,741,460,783,337,742,269,595,931,398,765,621,173,815,808,866,108,225,
497,678,439,007,867,260,235,313,592,384,459,798,390,200,953,155,993,451,378,
934,311,113,874,736,045,980,053,357,301,142,741,446,259,855,902,991,261,853,
384,031,066,541,799,959,997,228,772,062,303,981,725,967,451,214,174,513,822,
707,750,156,213,595,246,593,790,558,759,328,481,885,198,743,290,906,499,635,
238,355,892,881,513,598,561,374,780,407,050,799,143,114,649,770,275,655,553,
742,821,975,069,856,223,487,086,113,371,457,911,244,221,506,753,165,115,504,
891,312,915,779,012,960,331,884,842,578,857,464,160,403,673,068,780,972,035,
027,751,457,896,229,673,755,997,685,489,519,491,443,493,229,938,007,723,878,
956,996,155,378,384,480,975,797,864,175,370,914,099,068,488,422,191,081,817,
659,505,482,909,810,802,510,513,299,528,710,539,542,266,991,055,516,846,164,
376,130,599,929,436,687,400,933,197,652,634,077,315,849,328,824,725,272,808,
507,867,640,089,774,329,823,379,476,460,768,988,004,119,276,341,824,853,588,
764,122,124,367,498,427,416,505,199,340,317,156,336,236,032,518,245,147,380,
742,488,589,958,068,605,498,379,546,113,064,071,504,673,724,789,079,297,035,
738,051,409,317,171,211,658,893,648,507,406,947,250,176,988,626,063,656,987,
299,124,759,026,223,981,757,911,621,125,611,522,239,785,011,135,583,609,501,
411,740,517,738,502,133,884,775,749,773,380,458,298,972,884,832,513,748,601,
666,466,486,637,362,884,916,008,764,447,675,593,457,892,548,406,336,875,173,
166,870,488,344,140,704,315,278,228,450,901,570,514,470,797,497,473,573,437,
773,961,925,232,380,302,265,297,526,717,322,490,170,546,198,555,759,517,012,
220,917,284,332,619,023,535,457,705,712,437,531,546,541,269,015,638,179,233,
120,403,964,030,534,355,672,160,830,549,084,997,278,440,221,113,203,715,441,
214,277,782,090,502,221,513,796,311,421,959,147,203,110,926,040,165,294,498,
137,569,990,207,223,720,187,283,635,560,260,712,557,401,193,575,490,490,802,
222,658,684,734,430,582,388,703,237,429,533,537,011,239,959,015,100,456,504,
132,167,193,965,532,497,225,681,158,775,415,439,610,440,283,594,282,446,248,
126,651,194,998,210,960,942,313,554,599,744,316,367,577,920,426,354,945,269,
187,899,718,550,868,857,647,542,608,717,082,693,266,073,574,614,931,213,908,
053,059,261,017,979,579,155,134,645,067,391,507,865,538,735,992,737,823,796,
749,991,843,340,539,964,013,306,415,045,736,036,107,617,921,410,219,870,904,
838,297,242,778,997,785,828,538,847,123,404,689,420,376,471,749,243,561,401,
207,148,867,585,773,228,973,234,134,395,027,849,061,480,380,959,342,087,781,
871,056,130,069,006,672,630,008,483,865,407,667,488,330,853,753,141,336,070,
831,421,008,745,087,198,145,708,650,252,775,992,088,357,422,271,082,557,520,
296,029,687,061,529,153,894,203,604,902,152,470,660,027,113,665,719,049,251,
825,965,502,714,392,241,192,082,553,348,581,147,828,293,288,578,077,387,376,
489,743,215,384,627,533,158,367,613,133,649,714,479,155,257,433,410,878,210,
999,324,717,766,833,929,554,182,880,682,713,598,833,091,385,788,507,188,938,
136,356,995,104,925,961,839,592,185,506,739,841,854,095,273,966,650,291,672,
211,047,301,089,459,664,819,393,595,491,558,605,559,916,852,973,707,450,178,
109,788,211,944,762,549,218,819,235,460,224,184,877,569,693,000,714,948,165,
935,471,341,419,855,688,185,136,575,343,869,137,233,348,652,573,375,684,770,
921,039,291,654,760,303,508,602,241,314,587,092,749,627,105,696,744,701,279,
371,221,508,368,040,019,134,942,523,508,294,756,662,472,226,051,788,167,287,
525,665,836,388,596,812,588,016,092,718,704,996,407,297,661,570,060,060,626,
817,672,975,677,213,426,891,458,039,395,358,031,291,320,730,747,867,442,324,
275,214,588,100,907,065,310,226,546,241,946,781,344,399,405,926,248,059,693,
413,995,039,617,196,041,703,949,464,774,887,947,407,877,734,280,146,099,017,
082,629,890,372,103,966,729,720,806,034,171,423,427,843,966,132,551,870,089,
214,529,370,639,018,519,648,139,856,682,128,329,691,562,261,808,348,642,313,
714,150,086,740,440,349,401,964,854,776,195,653,393,962,614,273,269,269,227,
711,890,614,614,268,810,748,311,104,227,770,725,084,102,417,734,284,391,631,
739,541,424,819,450,015,653,836,940,237,228,967,372,000,604,144,851,976,468,
953,092,510,160,440,419,700,341,308,885,862,186,991,947,010,090,504,301,864,
149,527,871,400,464,644,875,318,488,345,397,214,709,274,193,825,889,557,347,
537,841,338,357,177,271,793,392,171,717,859,257,624,751,629,280,580,999,507,
941,477,331,176,223,845,022,211,499,618,799,102,171,932,112,609,489,720,627,
981,034,132,456,346,989,784,525,682,935,223,280,594,803,776,009,692,992,814,
795,754,894,556,980,697,823,164,569,326,585,437,654,835,575,369,073,447,360,
919,802,427,179,921,582,230,194,129,248,910,575,715,227,856,015,800,252,882,
366,027,929,835,835,081,979,782,063,716,423,532,969,672,831,126,983,893,647,
943,187,243,454,724,220,763,197,630,740,039,821,094,855,182,242,564,734,711,
769,139,602,671,244,869,058,473,765,030,172,115,786,700,445,203,092,483,511,
702,659,043,049,019,466,064,740,099,983,781,234,992,076,764,206,977,487,598,
812,549,912,067,421,755,710,091,815,808,039,140,218,169,468,324,590,185,033,
780,987,682,714,317,640,696,236,099,467,079,573,534,491,081,422,293,162,783,
044,495,787,503,167,530,663,958,560,980,043,041,872,137,662,233,786,340,352,
458,788,466,695,325,287,005,524,737,996,696,633,621,637,258,798,966,528,825,
265,346,431,744,402,920,062,765,502,811,417,320,858,998,005,308,768,823,914,
175,999,142,127,361,264,398,236,256,182,076,028,478,107,391,412,049,677,162,
580,147,584,429,733,480,970,080,964,544,151,599,203,273,206,683,372,693,498,
472,481,454,598,575,491,154,497,315,723,295,244,822,105,641,276,555,151,325,
766,633,214,791,277,959,367,022,753,922,577,391,742,506,264,067,945,417,806,
548,177,793,455,923,793,002,926,725,899,645,661,495,393,520,868,192,358,836,
850,003,300,457,884,674,015,155,096,276,095,823,890,422,779,831,804,084,184,
735,413,077,354,504,006,276,007,698,838,026,544,842,249,016,060,635,102,858,
373,016,909,834,668,590,844,154,622,654,198,739,513,391,364,548,180,770,072,
342,557,042,924,887,965,088,011,333,809,988,805,779,413,043,057,430,272,341,
954,401,921,958,669,377,235,695,333,460,020,341,339,307,109,637,546,606,891,
870,283,877,286,850,353,712,592,133,588,102,424,246,580,774,953,482,404,678,
793,969,936,212,990,376,074,967,881,131,918,329,174,747,710,028,746,201,473,
286,849,089,717,913,891,899,087,581,356,434,371,085,159,956,372,958,144,475,
993,775,781,058,143,943,300,435,967,016,986,049,861,139,586,132,646,194,700,
230,980,235,526,774,238,120,025,990,532,960,843,072,850,655,785,168,590,328,
343,083,655,412,724,442,119,128,767,308,131,341,976,015,030,620,120,425,938,
435,712,601,948,630,065,827,489,302,402,921,435,453,707,662,574,086,048,141,
773,410,326,171,616,516,006,710,378,040,161,039,159,912,138,876,301,886,043,
411,442,930,722,942,685,086,857,512,811,618,131,122,896,152,453,278,207,362,
950,466,082,987,654,320,142,593,632,890,880,828,351,081,714,365,495,725,959,
115,988,765,897,031,063,871,927,842,532,165,000,266,379,745,212,785,965,218,
438,104,711,369,241,227,282,354,582,010,621,435,066,354,465,512,507,857,092,
664,918,358,719,479,506,180,525,807,108,782,014,497,560,123,247,363,191,628,
723,513,758,185,622,911,399,390,589,083,250,316,919,577,111,853,305,150,453,
221,170,330,511,122,313,607,070,001,810,888,010,034,300,470,230,957,875,157,
335,508,866,464,528,735,661,936,011,057,543,337,980,462,382,713,528,990,420,
193,258,941,212,124,392,495,172,803,899,083,959,749,547,952,596,081,429,174,
482,994,332,801,890,021,274,297,113,530,978,047,482,329,043,832,760,285,271,
838,568,190,629,817,914,181,401,253,238,281,856,858,246,385,027,942,768,602,
400,935,381,898,370,214,035,714,845,833,729,539,026,120,225,450,589,766,940,
824,933,278,720,116,720,714,957,242,056,104,693,919,827,454,020,483,025,387,
431,536,181,177,553,344,220,482,841,825,024,366,743,127,132,585,573,913,090,
260,591,360,798,768,968,201,594,292,241,963,554,353,586,189,192,377,566,092,
327,576,692,602,549,030,049,831,836,610,934,246,295,434,755,262,927,485,363,
780,184,187,580,487,080,057,774,352,975,212,834,745,694,218,530,499,256,830,
692,815,522,917,261,566,952,876,696,826,930,409,832,953,432,671,541,874,318,
625,981,261,134,502,884,570,438,095,187,906,248,929,652,749,821,374,363,995,
796,008,037,312,470,699,061,872,710,152,726,948,504,006,178,424,784,282,456,
123,976,684,674,030,417,372,900,658,391,962,530,928,248,904,828,878,841,103,
250,175,694,464,512,882,110,297,193,522,919,954,527,617,080,179,218,438,567,
113,146,762,014,750,977,318,898,519,689,610,831,593,039,956,770,578,719,715,
872,415,360,320,991,717,614,277,584,287,070,121,486,776,664,660,409,225,548,
556,644,264,388,250,704,051,944,859,866,886,421,297,486,214,760,780,239,872,
985,955,032,943,975,113,101,644,041,218,103,610,316,483,306,341,259,627,596,
559,066,510,930,436,099,679,727,782,601,937,432,453,706,078,557,416,317,685,
483,058,498,876,614,752,210,014,065,669,958,655,176,578,726,707,073,463,721,
865,475,578,641,291,686,229,576,781,077,128,151,936,853,536,451,448,550,423,
835,843,280,118,332,456,208,597,084,736,646,638,736,437,355,139,241,882,957,
358,381,353,480,673,470,719,010,345,299,035,557,028,420,014,164,238,426,182,
038,332,251,755,337,731,111,332,953,370,463,424,629,347,696,224,625,749,993,
835,558,824,030,739,953,816,880,569,825,441,767,527,156,876,473,677,661,529,
842,547,859,148,702,851,417,628,722,885,568,500,055,862,290,162,434,598,049,
009,723,620,458,034,546,160,481,232,019,548,287,997,389,279,503,046,047,793,
771,959,379,606,244,474,704,750,802,050,882,943,449,776,072,967,223,031,274,
732,883,300,739,267,052,241,867,234,364,213,244,228,992,705,114,720,617,595,
044,779,633,852,433,884,762,531,742,314,311,678,078,229,342,766,027,881,672,
213,349,274,253,745,031,985,655,852,713,302,164,082,511,261,616,222,249,786,
098,865,551,240,466,894,527,511,728,546,865,204,403,181,190,490,942,203,470,
132,089,315,098,275,098,149,358,121,130,446,269,327,551,212,269,941,352,096,
019,615,193,428,189,198,546,515,327,432,736,112,951,528,641,512,492,997,616,
123,502,703,953,582,677,327,990,990,333,587,519,243,912,319,312,224,013,177,
455,983,249,596,894,630,171,640,738,843,166,684,558,819,306,409,979,159,098,
505,108,179,527,170,387,176,732,451,764,176,104,092,155,541,640,279,939,984,
728,263,224,070,264,025,625,396,074,908,664,269,503,367,054,407,571,513,489,
283,608,581,661,940,788,662,381,635,234,964,577,686,965,072,140,474,858,578,
780,996,214,952,523,964,336,101,829,461,265,875,944,162,742,337,159,477,718,
400,842,064,223,169,802,186,813,700,367,911,218,147,754,223,963,914,319,149,
079,960,735,203,430,945,206,243,072,606,085,055,689,563,731,418,121,984,943,
507,212,839,928,352,499,452,503,282,506,220,663,821,184,324,529,570,788,995,
638,794,002,897,406,938,242,203,949,526,648,314,272,191,102,728,462,706,887,
598,222,537,496,548,363,518,516,711,433,997,803,222,525,436,245,476,069,152,
942,868,952,148,992,336,183,409,351,675,132,890,721,715,782,748,934,109,063,
858,018,531,896,921,588,824,106,907,066,667,845,637,679,248,779,963,773,849,
502,592,478,337,495,528,369,817,973,206,433,248,357,337,108,617,762,993,565,
235,765,479,340,425,789,776,804,629,340,217,814,815,471,267,604,967,610,786,
170,172,420,975,375,666,728,444,496,724,469,395,590,084,669,682,383,220,944,
891,683,450,998,122,093,890,791,206,897,353,341,365,867,208,457,720,532,245,
708,317,431,971,358,750,710,518,544,011,131,534,772,664,917,956,456,438,146,
487,964,235,013,857,403,724,566,830,695,787,587,344,607,830,335,196,936,687,
921,180,282,530,148,471,034,490,620,665,547,607,622,137,011,360,573,934,106,
540,439,682,166,056,431,107,615,554,747,765,511,597,993,242,210,675,611,255,
537,934,230,380,327,779,287,686,693,352,041,331,599,698,328,835,655,043,181,
755,288,787,593,202,831,057,683,565,427,909,690,326,281,843,498,742,733,372,
242,465,145,501,878,185,667,732,036,659,096,632,277,259,008,994,418,738,116,
797,255,352,174,326,782,381,390,770,611,462,306,619,095,417,131,111,231,845,
046,268,536,830,044,542,961,960,506,048,053,880,833,846,681,328,018,504,237,
692,907,135,117,442,437,447,268,932,709,424,767,875,437,957,437,887,931,653,
335,501,246,141,313,418,183,424,463,493,425,400,844,984,733,409,167,103,748,
689,843,213,077,814,523,687,117,905,328,987,745,763,951,769,693,949,526,611,
104,162,165,296,725,465,965,503,229,102,963,957,105,620,306,084,951,033,345,
328,395,215,171,305,974,818,446,363,120,545,537,103,279,790,369,692,021,707,
159,178,900,328,348,032,933,883,910,451,632,515,309,391,609,975,176,387,813,
771,190,592,501,060,830,686,004,263,544,796,260,830,492,915,958,299,631,637,
698,523,815,985,951,433,100,754,297,471,635,957,078,384,048,736,134,932,651,
763,219,493,874,394,663,949,705,716,705,988,888,952,271,861,040,965,631,393,
499,680,694,593,844,867,039,816,258,626,772,069,085,059,604,487,599,533,762,
316,494,243,582,514,294,535,671,956,838,250,846,648,734,816,554,488,478,833,
865,837,249,090,372,574,673,850,667,329,481,155,700,199,586,325,791,141,447,
520,362,794,503,534,772,890,713,588,290,061,903,789,998,193,459,631,896,682,
427,757,962,877,863,017,067,025,902,679,749,236,522,406,408,878,016,547,058,
901,695,245,398,662,739,980,701,368,494,465,396,428,287,056,709,114,679,364,
447,869,287,468,380,007,440,132,071,103,288,224,496,747,904,998,451,255,762,
621,761,222,793,033,667,267,622,770,706,614,784,725,829,311,590,903,164,456,
616,134,014,487,097,691,391,910,182,191,338,357,060,723,116,848,447,567,739,
893,283,284,934,715,464,283,839,210,358,093,461,902,740,604,424,567,324,376,
631,395,061,028,725,062,632,621,034,581,323,265,049,545,285,715,935,879,011,
623,757,838,456,733,646,981,992,012,715,415,681,237,548,940,708,086,106,159,
159,369,410,019,027,880,828,365,583,061,064,891,143,644,270,685,664,791,864,
632,447,692,237,640,377,221,866,310,409,906,161,562,160,512,722,466,354,397,
428,992,781,622,064,442,188,569,348,627,462,152,395,415,120,841,941,481,264,
561,174,393,389,275,446,903,485,465,246,432,088,366,425,634,415,625,715,003,
081,622,109,744,718,598,825,909,190,314,751,345,983,586,598,402,770,571,677,
703,022,358,778,649,313,723,121,930,364,763,449,653,422,585,965,529,112,539,
941,160,904,449,151,502,622,287,479,402,509,711,154,689,685,425,601,447,456,
186,295,208,609,534,357,583,873,325,096,273,281,354,421,372,949,913,446,453,
403,627,543,533,329,537,720,028,549,424,498,001,129,266,281,190,317,521,832,
827,692,838,244,009,494,189,934,717,297,792,749,713,972,851,015,465,255,256,
821,051,521,254,495,968,787,113,325,305,381,671,768,256,828,356,642,617,862,
802,026,983,283,428,151,995,930,084,632,253,702,766,114,009,164,171,663,939,
124,294,823,845,844,757,661,297,199,163,907,812,429,446,658,829,234,900,949,
821,876,614,327,858,236,218,728,746,424,367,078,744,360,643,836,572,329,019,
558,854,124,877,769,399,311,803,484,994,158,290,667,566,065,214,181,429,308,
328,631,222,679,207,367,416,405,901,937,339,969,076,856,455,280,575,732,522,
195,657,801,470,541,528,902,302,064,236,485,796,915,313,190,159,079,575,697,
960,853,689,679,278,520,375,046,919,753,305,501,561,135,782,649,897,961,838,
422,847,105,156,923,827,030,767,596,638,168,365,998,059,721,065,333,763,646,
412,404,710,367,020,404,493,573,020,807,333,063,827,493,608,485,968,733,305,
327,906,763,450,697,885,037,708,457,371,158,906,821,052,258,373,963,286,840,
325,373,052,409,746,305,217,048,081,452,861,273,882,309,242,916,940,372,256,
782,731,001,960,424,460,465,546,076,041,058,249,923,797,116,883,963,595,239,
681,153,915,045,342,875,759,238,254,726,410,094,748,771,333,940,476,025,035,
417,315,053,012,601,965,097,984,496,301,597,272,161,735,425,123,843,281,392,
220,032,072,390,128,486,572,728,881,404,080,549,231,479,420,486,372,803,154,
564,529,121,650,195,151,382,270,530,644,366,644,542,525,861,599,570,655,327,
766,302,436,210,570,512,689,364,872,723,678,165,599,765,831,486,937,726,111,
818,114,071,170,092,489,449,710,516,656,266,332,435,096,683,278,009,258,198,
509,490,600,434,022,608,370,040,237,231,668,125,292,541,694,950,679,562,875,
149,091,175,756,172,533,147,033,310,957,716,402,619,130,099,488,653,071,633,
959,029,868,940,216,944,951,373,904,963,674,850,732,596,863,426,072,012,374,
200,621,137,654,933,191,877,925,967,260,433,031,447,895,991,293,766,366,500,
909,972,382,398,917,168,925,976,238,152,028,178,586,939,732,585,935,358,732,
559,291,272,665,985,227,273,495,891,177,003,883,118,873,935,113,391,408,268,
044,363,524,389,314,494,596,108,346,673,898,288,918,167,962,800,755,810,883,
948,078,978,663,668,782,705,401,629,315,254,094,470,449,155,707,036,960,361,
760,709,293,364,785,473,637,837,243,585,851,207,879,277,645,933,943,390,510,
982,503,765,475,479,438,359,779,093,377,515,097,499,051,629,982,978,980,175,
633,079,005,461,271,896,549,915,884,863,538,256,762,607,250,421,449,899,903,
013,352,959,295,093,702,006,398,118,648,712,989,606,475,779,909,263,760,622,
410,253,777,730,544,716,477,056,301,644,901,638,500,600,525,215,258,575,794,
767,374,616,089,982,449,994,316,319,698,727,256,059,073,238,871,017,221,102,
111,405,857,640,148,821,044,885,817,362,231,327,666,856,867,227,716,969,617,
112,096,397,336,880,672,624,145,495,237,261,095,495,493,419,591,816,235,981,
112,165,047,068,352,846,381,575,054,667,314,647,552,803,320,256,267,236,037,
149,101,994,367,693,595,218,021,379,983,814,050,504,268,629,514,774,139,829,
736,743,401,889,221,525,748,236,989,274,701,333,147,890,525,396,147,419,389,
992,171,118,352,211,882,836,313,550,680,819,815,294,587,885,197,702,140,545,
498,176,721,741,197,908,889,202,369,895,488,233,174,006,452,760,016,317,898,
552,557,884,325,920,334,533,047,807,379,101,805,673,814,002,706,306,974,137,
732,090,775,207,282,102,659,088,244,498,493,557,463,579,285,907,143,159,647,
540,290,281,434,317,500,762,299,666,001,301,261,969,333,296,053,778,943,803,
558,430,838,520,883,909,761,422,864,759,410,964,232,969,576,649,729,652,050,
665,946,594,681,517,770,092,620,902,941,205,005,920,008,224,424,222,275,332,
359,056,546,714,534,310,012,563,989,570,821,297,963,190,505,535,317,182,828,
918,298,831,229,163,414,402,084,780,281,203,638,430,698,353,480,706,897,847,
925,549,598,912,923,102,700,823,955,015,199,494,369,950,427,227,775,606,664,
466,840,573,928,084,701,153,727,767,244,694,671,178,208,316,917,657,073,713,
332,900,234,688,029,514,996,477,867,336,915,648,556,560,360,943,696,069,271,
685,878,965,517,729,534,724,462,321,946,999,395,168,389,190,453,496,502,628,
295,124,898,978,448,153,504,884,171,307,302,358,095,475,246,003,672,636,041,
155,602,078,930,350,395,049,821,503,618,703,420,838,149,460,955,284,982,654,
150,010,026,137,015,944,730,981,644,204,178,416,324,338,329,863,902,757,849,
365,195,548,153,454,606,231,469,033,412,390,140,829,334,729,349,288,603,246,
672,803,817,222,679,525,156,753,124,812,210,361,676,550,242,444,323,210,889,
373,179,239,088,348,088,784,285,410,975,591,308,344,713,746,875,140,763,549,
168,451,955,169,826,117,300,731,208,704,970,557,894,042,131,918,363,951,956,
487,176,699,229,857,924,872,966,872,155,422,576,826,434,551,367,525,334,730,
846,618,897,591,627,286,492,597,425,046,594,808,701,381,642,744,706,231,971,
852,715,875,857,071,470,784,028,655,781,812,772,416,789,292,776,201,398,830,
027,908,326,321,946,028,844,381,091,094,804,836,442,089,828,400,761,183,095,
397,850,261,017,531,654,172,346,071,184,246,311,315,970,702,077,206,186,003,
819,088,078,720,055,303,280,089,075,287,722,900,619,208,379,236,618,725,059,
546,443,842,194,993,249,832,730,703,013,522,353,416,364,470,557,789,586,667,
137,640,055,970,757,225,421,602,175,135,457,261,789,696,923,951,160,550,437,
288,955,162,491,246,484,774,001,399,563,554,668,193,888,971,126,338,214,043,
750,875,389,902,746,012,602,091,021,531,594,487,398,321,173,659,088,117,447,
936,418,228,129,377,274,898,916,397,053,200,088,133,186,190,770,047,783,048,
953,853,963,175,209,751,603,185,981,179,795,134,057,653,576,133,039,526,241,
138,629,356,630,338,348,268,512,464,715,617,216,249,528,419,753,113,782,262,
492,838,611,545,739,213,646,332,240,205,144,764,420,080,275,802,074,217,645,
611,221,189,031,924,397,352,646,688,469,226,780,243,829,654,557,293,512,932,
893,503,571,798,597,501,353,249,574,323,884,367,873,954,689,725,952,808,553,
312,212,049,581,231,998,920,883,422,235,690,392,623,056,881,781,512,702,382,
197,582,895,828,001,852,522,079,116,729,655,168,752,840,940,899,821,651,908,
831,672,875,831,174,540,634,642,787,951,524,524,575,355,355,881,674,506,467,
905,375,305,816,455,419,775,679,764,692,529,549,219,016,149,421,488,604,338,
783,736,225,759,109,266,666,959,335,852,901,669,010,528,595,232,520,208,576,
932,602,569,827,390,844,465,769,622,221,486,222,638,119,891,690,171,114,992,
317,938,007,489,869,092,345,536,933,076,202,897,340,441,640,133,154,358,375,
496,349,351,214,311,711,088,546,486,492,728,977,095,173,150,696,712,304,323,
586,445,665,836,536,318,389,923,872,200,468,697,727,122,250,225,020,734,297,
923,064,822,278,355,889,105,148,819,291,369,540,729,801,815,851,388,989,534,
281,833,435,073,467,653,751,221,245,018,948,389,166,902,492,409,429,619,480,
830,676,811,648,520,522,469,714,087,041,031,650,954,899,719,773,524,765,731,
605,198,815,631,420,071,037,879,500,520,042,296,289,599,331,884,468,864,540,
018,586,576,071,709,786,594,169,900,398,870,936,035,103,354,348,187,304,059,
852,480,407,258,211,221,537,952,181,139,437,482,334,794,769,263,109,191,413,
946,618,704,775,800,049,513,202,195,061,605,323,537,426,676,922,380,663,341,
757,096,890,811,642,838,612,547,258,723,416,013,511,512,699,393,070,255,366,
412,957,646,351,662,328,086,342,623,033,757,389,937,040,104,527,224,774,345,
773,099,000,308,005,975,945,285,984,935,739,363,954,564,083,951,549,142,293,
932,480,222,873,055,589,246,955,987,850,292,107,494,481,347,831,372,323,239,
526,090,816,526,255,246,910,703,135,420,718,633,650,233,280,204,310,589,441,
941,965,477,360,699,227,692,555,872,364,012,725,120,062,871,007,933,346,519,
554,222,310,629,115,281,176,049,066,232,040,046,603,732,914,250,719,561,458,
561,705,328,465,744,775,415,354,733,794,374,469,324,579,485,164,705,620,473,
567,256,256,353,317,324,530,517,251,179,048,031,542,851,657,562,874,313,363,
634,683,495,245,799,963,574,139,113,113,170,944,911,900,047,403,093,367,313,
648,546,657,091,053,421,442,637,463,878,478,078,956,455,222,423,109,107,362,
238,959,978,155,651,797,652,192,218,378,835,082,129,265,615,644,892,510,053,
960,233,609,025,713,554,133,216,438,706,032,166,941,600,586,953,935,179,872,
000,300,671,584,708,185,667,997,022,275,617,539,601,360,556,554,858,642,154,
016,128,711,365,272,691,823,786,038,064,377,608,162,835,146,514,985,807,902,
116,229,576,913,935,540,480,029,413,401,458,628,558,395,742,206,732,384,423,
073,444,132,683,214,091,961,192,025,341,416,734,152,333,037,657,613,062,562,
791,868,419,565,256,778,694,915,815,921,813,079,744,952,638,863,872,683,621,
090,658,271,294,968,133,605,234,551,498,353,626,982,490,192,820,824,402,426,
072,602,494,042,046,642,759,292,057,574,881,378,206,439,566,018,226,662,837,
386,333,867,015,550,443,580,579,400,874,097,629,164,283,006,124,944,189,733,
811,376,841,520,212,262,417,115,950,009,646,007,375,871,120,303,740,917,680,
114,376,592,156,611,468,694,757,820,960,087,189,868,078,732,692,342,638,127,
792,903,399,515,176,957,450,342,822,095,538,575,813,531,538,009,934,789,362,
635,269,919,687,226,853,878,052,589,013,574,174,452,655,294,666,270,808,313,
776,415,767,616,027,012,379,408,588,332,185,261,400,252,424,775,113,998,857,
620,479,900,291,475,221,632,205,923,802,410,265,148,767,652,325,446,947,844,
682,335,134,439,245,218,524,522,074,410,668,913,781,128,884,333,977,842,005,
695,166,760,134,761,657,138,448,538,731,872,429,383,331,524,451,514,049,514,
952,126,731,536,154,688,708,237,419,308,136,460,327,653,639,242,602,289,131,
513,584,483,741,697,997,260,368,318,960,076,858,804,083,570,594,753,901,723,
818,032,285,381,079,715,448,292,395,225,117,371,745,872,656,989,572,166,077,
905,187,758,551,780,270,437,067,439,683,826,247,707,553,043,965,112,153,879,
965,159,553,001,519,703,492,046,506,240,443,317,017,813,233,451,318,794,950,
946,595,857,230,583,461,829,999,048,781,471,933,714,994,808,715,637,380,747,
129,748,539,433,243,795,579,202,874,287,576,688,792,303,660,297,772,360,128,
675,239,659,423,597,715,555,737,568,503,955,371,077,436,516,328,875,662,388,
756,366,196,261,368,298,111,399,913,473,880,428,253,008,558,628,588,374,075,
165,497,341,746,610,140,079,331,320,793,048,171,549,088,433,821,651,385,729,
435,763,918,724,961,486,291,598,569,117,844,980,085,401,687,197,201,854,990,
475,318,495,560,593,120,003,392,401,799,691,152,604,852,122,879,762,607,807,
696,822,667,656,403,820,846,686,904,023,194,918,991,544,742,634,968,044,932,
647,479,558,128,959,710,024,943,638,044,280,707,087,797,644,716,437,968,259,
562,174,976,436,775,190,002,863,301,951,182,892,552,552,686,007,568,149,050,
870,435,224,965,466,626,118,207,786,667,443,226,701,165,147,436,283,417,808,
566,361,112,652,668,034,167,647,161,611,818,351,270,644,199,596,257,015,901,
687,644,582,527,964,583,781,881,381,691,400,980,607,060,294,605,786,061,800,
539,742,231,279,611,711,612,813,058,942,940,102,289,120,517,573,747,223,775,
640,566,736,490,848,632,387,310,046,065,475,561,190,235,736,078,985,817,233,
345,782,690,450,464,761,198,653,441,199,412,249,632,579,231,518,677,371,764,
462,641,701,978,925,907,105,338,428,409,347,224,814,189,358,113,562,623,382,
229,668,198,450,912,478,760,921,853,491,658,858,403,943,405,864,180,792,570,
995,982,087,612,255,906,438,051,365,260,645,704,036,416,986,761,170,030,614,
597,866,834,200,214,482,072,710,805,079,239,731,433,675,915,517,462,475,862,
730,875,010,023,982,270,709,321,194,798,133,853,780,134,443,470,637,916,635,
643,477,528,117,893,544,711,835,876,443,568,045,071,964,416,927,796,889,063,
736,768,278,559,997,798,846,943,301,551,182,553,279,519,240,151,051,456,473,
489,878,941,723,052,942,817,159,376,905,824,333,272,090,749,310,505,076,105,
258,463,533,362,406,510,706,790,269,127,704,611,508,749,373,769,485,283,558,
345,678,623,189,543,082,938,950,703,693,560,830,403,877,738,317,160,338,087,
063,788,357,637,657,241,092,032,199,561,880,203,126,788,297,016,274,871,412,
178,502,006,813,043,540,539,467,437,896,508,289,668,995,749,566,413,411,437,
597,524,647,907,098,586,842,898,194,130,467,842,494,578,981,729,699,525,849,
421,177,613,177,779,257,661,873,861,204,581,120,533,919,517,803,254,219,529,
282,765,151,377,143,971,674,282,619,036,106,236,656,085,956,065,083,603,530,
978,648,438,136,624,625,991,774,025,750,218,895,834,820,996,810,905,018,018,
650,927,180,241,290,947,842,680,291,368,870,044,050,633,714,313,421,730,744,
140,256,635,588,088,786,828,770,133,220,499,966,547,906,702,936,148,457,781,
470,544,846,483,342,498,993,970,984,315,056,579,335,117,902,975,609,281,828,
104,482,750,214,219,936,335,235,890,994,289,972,630,087,260,560,222,377,404,
686,503,782,485,186,464,258,645,979,413,552,671,619,950,773,655,732,384,645,
459,436,487,315,885,692,147,780,724,761,388,229,494,403,154,227,018,461,497,
832,036,078,993,386,983,387,033,093,274,141,841,806,587,920,956,496,230,479,
040,030,857,161,950,812,502,687,877,684,690,222,874,379,981,823,320,416,518,
158,894,825,499,241,375,422,684,566,914,252,422,924,266,256,290,202,361,430,
616,614,219,984,283,442,009,795,216,851,588,752,424,019,753,841,588,661,477,
506,250,028,299,478,208,370,831,977,606,910,255,418,910,354,532,643,904,969,
353,977,778,289,228,369,606,778,275,181,504,136,886,131,457,284,020,949,292,
415,083,629,630,613,140,580,628,583,257,955,011,379,673,175,195,544,080,090,
899,353,677,997,322,157,928,147,109,628,600,821,493,448,736,132,355,781,757,
956,981,120,416,321,516,750,434,255,133,240,856,667,589,580,813,033,606,539,
612,799,531,441,603,679,696,517,038,856,479,655,725,958,110,283,197,983,713,
467,889,413,046,861,970,243,974,223,377,067,319,604,277,416,924,753,509,406,
836,950,252,968,320,727,447,030,259,044,732,629,780,966,019,342,833,728,727,
368,330,701,263,448,196,209,746,636,573,634,516,608,645,954,454,218,142,749,
576,003,087,405,171,097,380,076,385,815,296,686,273,862,028,885,926,164,296,
434,730,123,487,544,944,069,116,221,095,485,993,767,419,623,529,633,467,041,
320,544,470,707,775,428,404,619,677,475,821,360,544,764,637,047,291,228,832,
534,641,120,361,192,217,815,142,671,280,418,288,319,123,713,243,247,116,710,
768,555,249,879,339,010,452,951,816,400,858,331,090,545,134,940,163,517,957,
783,689,096,173,971,225,100,261,823,776,693,531,184,493,168,998,208,581,302,
797,278,712,587,128,897,630,731,438,488,600,670,842,773,159,066,759,039,902,
192,655,795,357,911,685,978,701,741,587,020,258,786,803,782,660,741,798,202,
748,039,827,415,127,845,426,118,954,693,864,952,743,961,957,409,761,600,925,
616,265,940,572,198,340,981,084,138,196,943,643,970,766,951,044,453,370,244,
716,118,886,903,921,633,656,711,136,621,250,709,240,521,733,368,959,949,679,
324,000,870,829,902,671,013,176,815,400,865,656,653,165,315,909,390,311,559,
652,661,103,252,809,957,681,614,173,992,311,043,952,259,842,776,495,614,014,
580,795,289,543,280,078,838,228,286,209,829,554,122,307,546,770,856,166,351,
900,985,916,490,893,387,219,267,696,862,602,791,035,371,307,410,204,712,583,
277,633,676,010,156,336,442,039,827,652,739,801,874,171,069,074,277,148,248,
504,182,195,821,903,141,437,424,371,930,181,613,503,183,235,853,512,635,449,
097,439,781,298,498,319,200,849,450,006,981,136,185,183,829,784,613,146,536,
646,664,193,100,356,971,911,749,336,771,615,229,169,701,376,237,901,730,462,
731,587,109,192,552,414,661,066,342,517,828,345,065,849,345,342,983,084,277,
417,096,352,027,174,970,136,336,722,623,804,784,441,664,644,218,905,237,599,
622,737,639,966,181,964,120,899,566,879,855,329,561,078,977,878,378,378,813,
090,783,432,354,728,573,762,906,725,969,621,609,553,233,124,726,901,787,656,
757,664,751,725,017,441,176,675,949,131,488,635,223,588,076,226,595,811,165,
566,743,681,330,577,522,406,673,247,028,255,085,456,661,181,520,310,443,345,
396,573,718,767,622,020,342,403,658,401,645,300,949,431,152,153,586,097,054,
035,863,880,358,758,350,984,676,048,522,850,221,232,681,624,133,494,147,294,
722,921,220,011,778,466,470,477,055,238,893,042,874,208,755,210,320,250,990,
193,653,752,826,016,432,154,124,704,214,696,273,850,385,756,345,826,641,648,
414,464,310,662,861,471,813,212,203,900,817,001,494,065,811,309,570,800,098,
538,608,786,913,939,121,662,788,314,472,802,375,771,909,077,847,311,325,769,
140,407,143,584,577,216,786,466,451,899,684,768,732,205,629,176,872,044,222,
593,457,834,334,611,299,072,839,268,446,775,197,200,034,384,607,298,370,628,
545,260,890,979,194,756,001,079,525,288,428,083,520,542,812,418,250,469,373,
292,751,107,451,569,301,336,479,144,490,471,718,906,184,729,910,034,944,125,
479,108,039,431,065,709,960,539,146,284,692,744,415,232,139,182,970,626,893,
941,993,309,013,131,995,907,506,271,619,506,746,340,211,468,701,188,488,517,
432,688,133,927,033,079,936,236,012,890,524,238,194,239,721,811,750,264,892,
876,146,017,074,345,706,121,594,773,108,286,802,511,418,500,146,274,103,986,
082,591,514,211,392,399,909,456,239,233,517,033,646,194,645,079,173,369,169,
896,247,120,205,824,129,722,026,818,336,550,294,764,719,201,512,943,024,528,
827,123,480,331,451,553,927,007,785,661,644,348,657,063,832,446,222,667,676,
405,708,554,878,485,212,100,756,266,391,563,560,116,873,111,873,308,638,365,
758,780,133,129,982,180,613,787,546,125,208,027,321,108,478,309,440,832,826,
673,688,865,881,877,458,352,090,150,976,064,736,763,389,491,767,847,530,997,
828,221,907,288,052,385,230,553,471,786,628,566,567,258,360,432,094,423,322,
303,649,201,051,281,233,984,821,637,399,449,702,184,101,255,339,833,507,313,
958,825,136,411,517,279,513,653,147,093,125,312,830,099,738,637,727,285,614,
920,963,216,486,519,462,957,798,760,718,020,791,263,711,308,054,864,065,944,
724,109,043,647,358,942,636,338,759,015,044,269,279,607,807,516,252,945,514,
408,548,913,753,861,842,290,644,543,081,417,220,865,267,276,849,237,511,718,
775,728,006,829,863,088,852,649,518,025,180,608,728,314,410,489,620,987,672,
508,185,827,574,325,778,592,152,373,454,856,042,651,612,536,500,456,301,282,
781,425,638,107,106,181,756,145,333,559,836,563,911,831,313,111,587,750,213,
377,670,723,228,031,347,147,457,312,814,425,001,103,760,142,550,110,846,534,
168,014,964,501,736,731,430,452,304,038,996,534,005,265,637,364,935,092,268,
259,319,428,456,146,199,741,147,185,014,350,681,690,295,982,199,539,439,613,
111,458,261,413,265,493,642,648,684,896,855,138,879,786,205,211,320,507,593,
219,968,990,616,400,851,321,386,333,037,837,089,949,964,486,173,878,335,879,
360,149,977,616,750,317,583,574,315,300,051,840,644,938,715,629,111,438,065,
198,110,078,258,140,875,256,782,221,320,540,674,488,237,469,858,518,693,260,
706,689,503,145,084,633,593,438,533,935,717,944,276,090,086,809,464,917,716,
955,282,147,240,836,185,211,439,848,141,229,008,396,459,091,349,271,560,662,
359,164,743,198,423,550,805,335,844,486,691,553,654,236,136,259,657,643,177,
285,544,078,519,774,958,754,974,917,891,976,597,917,443,850,363,479,855,183,
154,019,197,259,393,426,236,692,789,222,103,318,980,289,118,134,677,126,228,
863,025,116,304,237,736,694,753,853,671,637,178,098,040,624,835,503,826,896,
057,895,724,588,451,141,699,730,818,471,761,766,613,995,690,132,123,893,682,
517,908,524,533,702,823,645,298,075,490,328,235,022,323,683,703,050,842,233,
315,367,746,976,969,359,901,997,194,502,239,907,647,361,559,962,148,086,245,
776,221,809,563,922,658,006,796,759,192,019,246,205,218,216,967,940,627,693,
671,089,154,969,185,981,139,980,811,391,636,981,189,910,080,575,209,563,273,
149,423,078,761,642,299,077,111,945,044,235,542,282,927,549,628,445,864,705,
116,388,659,206,787,742,361,050,818,892,250,800,751,304,721,312,984,629,229,
330,022,007,768,055,162,363,844,296,766,491,496,553,903,024,906,267,797,484,
382,418,067,846,526,415,609,872,305,294,917,061,960,717,317,262,378,891,945,
298,891,543,093,980,647,288,224,076,646,184,438,791,254,341,703,708,409,435,
401,776,711,156,661,226,169,802,077,122,236,165,625,566,745,965,025,223,069,
750,109,293,721,977,592,889,909,598,780,426,820,416,156,650,777,892,580,092,
605,486,956,010,757,331,596,543,262,142,260,709,276,531,404,139,455,936,774,
668,160,274,102,315,973,147,525,417,538,357,946,037,322,437,054,968,249,945,
274,248,250,150,775,554,557,022,074,040,567,236,053,455,080,044,937,609,166,
840,825,319,571,038,038,551,243,764,734,082,243,026,825,581,960,538,476,461,
184,486,865,844,915,009,742,202,688,464,172,893,479,042,582,030,627,477,078,
440,932,434,096,154,740,902,515,268,674,164,945,327,448,789,252,282,598,820,
048,075,549,247,661,422,257,003,329,093,313,978,339,545,587,086,801,416,866,
997,403,354,167,918,612,266,306,999,531,805,550,719,254,465,485,845,026,513,
495,235,601,608,586,641,555,661,959,798,817,403,650,378,192,795,443,662,092,
533,323,930,088,486,602,044,803,023,501,467,911,104,532,706,105,941,273,385,
922,284,116,615,988,452,250,279,183,199,525,174,238,310,003,813,785,257,365,
571,796,078,305,188,440,107,109,472,023,778,533,128,010,927,981,556,113,831,
876,326,502,139,887,659,876,201,748,634,438,234,375,882,851,477,265,135,750,
920,682,721,819,182,124,031,241,844,197,667,062,546,105,727,110,840,388,632,
919,002,313,765,538,210,670,988,267,232,231,140,074,252,963,764,179,971,014,
610,812,364,401,029,072,313,058,693,782,462,918,443,571,614,302,113,208,189,
585,187,963,096,661,578,918,804,581,567,740,912,010,903,807,182,106,589,571,
338,716,508,694,725,479,676,803,431,170,058,257,481,092,793,014,671,182,168,
440,490,464,489,108,425,686,217,782,046,244,030,104,311,726,796,954,719,979,
767,713,511,149,362,514,872,186,625,267,675,802,334,143,583,866,381,441,893,
247,069,641,651,058,942,255,053,082,633,830,905,887,696,152,292,877,202,454,
840,678,473,112,339,981,571,621,670,912,298,878,012,429,702,356,815,821,186,
117,877,393,347,840,846,347,283,471,885,672,947,505,113,883,713,844,906,967,
096,432,842,328,769,385,607,906,874,194,161,855,286,151,992,910,547,139,808,
588,153,123,003,757,027,886,932,997,585,959,337,093,947,922,086,146,485,520,
767,188,649,829,458,200,331,709,821,169,503,031,357,425,899,941,481,485,503,
704,941,615,912,560,413,179,091,672,692,480,512,271,386,326,392,703,340,126,
191,459,560,415,566,422,352,625,145,348,484,253,235,275,887,049,631,676,961,
905,772,738,874,056,457,231,413,899,388,076,204,092,592,305,875,264,787,838,
573,588,858,310,415,060,735,119,959,132,763,756,710,496,323,517,657,128,798,
974,608,766,241,198,534,923,810,138,624,957,273,031,424,475,514,528,198,672,
727,726,222,687,589,217,107,470,260,108,716,773,977,508,843,122,720,571,364,
349,523,941,323,877,013,353,317,205,897,570,883,717,671,442,156,966,074,992,
526,101,630,173,776,687,927,972,092,545,716,368,308,042,847,538,284,029,748,
394,497,935,586,642,083,383,441,274,368,641,547,201,889,341,541,263,421,344,
178,669,279,441,611,091,138,981,774,588,390,572,982,174,652,639,762,220,239,
770,820,117,883,164,418,886,102,044,797,329,687,832,258,383,108,828,545,366,
981,932,356,913,731,003,886,526,749,507,948,817,537,315,628,478,831,053,416,
575,016,748,653,416,971,523,693,678,551,748,033,910,089,302,950,903,249,079,
503,063,136,234,636,208,156,636,634,699,145,544,238,160,635,638,212,211,136,
792,611,916,022,278,742,494,338,790,468,682,385,717,780,253,099,942,217,418,
645,046,912,807,890,673,565,269,595,825,992,793,716,711,588,101,984,766,434,
814,666,375,592,726,761,035,685,812,623,601,222,172,242,608,045,040,675,560,
341,421,869,288,567,004,554,846,450,964,211,776,475,639,330,198,469,261,872,
027,842,570,484,056,494,900,617,519,514,280,076,290,524,449,542,209,484,560,
126,505,891,595,764,039,154,088,946,768,872,433,596,981,206,653,723,716,657,
701,698,331,930,653,328,161,235,011,806,145,922,893,035,594,223,138,010,442,
754,803,790,058,041,069,738,964,546,931,271,565,675,739,491,848,399,447,789,
009,523,746,502,389,724,523,557,854,565,594,088,176,656,551,421,107,722,630,
551,981,731,649,629,681,838,193,750,574,453,313,909,701,972,823,614,757,597,
841,106,707,754,797,255,615,838,989,188,368,035,036,541,858,386,037,610,781,
333,206,172,379,706,807,236,800,493,520,247,324,292,406,941,420,044,285,277,
861,529,817,579,582,087,746,213,878,192,816,223,155,054,429,557,467,298,449,
435,919,086,649,706,541,862,905,578,304,135,773,333,919,002,706,902,473,797,
989,965,689,235,930,773,920,682,038,480,644,833,506,536,304,388,943,256,200,
023,683,401,377,288,990,753,908,734,101,577,064,007,761,998,617,336,248,357,
607,114,188,502,850,534,761,352,764,235,600,184,642,664,778,909,896,156,429,
754,219,348,975,565,455,111,397,948,399,209,259,003,546,560,194,196,531,437,
307,663,032,551,657,543,125,491,532,300,215,475,374,313,048,015,139,132,003,
926,533,489,836,841,296,431,184,299,528,053,579,722,194,633,839,168,089,520,
407,646,705,432,132,154,685,526,652,963,909,454,107,969,346,334,866,693,528,
223,759,258,352,637,944,738,093,778,216,527,243,862,436,903,117,599,726,378,
661,554,111,776,967,271,763,744,193,386,242,884,085,804,458,146,902,472,404,
915,508,079,767,191,676,367,521,876,666,356,960,055,010,228,064,736,207,128,
477,994,575,984,720,369,859,060,763,740,070,652,677,087,148,481,098,646,820,
997,284,881,469,472,827,629,966,441,712,371,888,686,172,350,801,560,115,473,
196,743,747,434,485,146,871,118,913,424,312,279,848,661,482,796,401,327,140,
503,476,365,538,868,595,770,647,991,771,761,057,463,528,936,727,690,588,068,
756,146,331,893,433,117,154,362,868,216,981,462,836,669,606,328,004,165,515,
678,176,437,046,496,676,267,509,345,411,158,480,335,070,872,209,342,058,977,
409,677,998,785,360,608,046,730,665,448,411,088,659,427,991,212,018,452,723,
136,209,114,923,544,837,295,840,387,463,285,915,638,463,875,751,706,436,490,
014,982,717,385,803,155,114,201,972,636,599,803,057,831,363,865,482,188,220,
988,032,544,161,316,212,712,056,592,084,681,179,004,959,895,514,678,324,813,
071,403,006,525,590,034,761,742,461,714,687,029,836,076,235,384,554,089,514,
429,979,693,351,689,377,703,310,572,208,038,388,645,638,990,315,656,985,076,
633,996,427,416,109,342,228,535,397,813,230,829,855,487,562,710,937,984,656,
072,200,615,277,117,316,687,527,515,618,359,870,288,857,612,177,301,185,735,
691,910,297,725,907,623,949,821,807,194,392,760,547,332,197,170,108,665,895,
852,414,167,388,185,282,947,908,729,615,054,531,222,777,016,353,084,291,181,
375,144,120,281,129,801,917,983,473,188,152,039,880,741,256,270,873,324,161,
111,913,869,151,543,467,602,714,294,201,753,656,276,922,943,853,375,323,113,
199,735,051,999,460,302,574,870,010,106,064,896,768,026,791,844,431,092,379,
420,000,651,842,334,991,737,217,035,662,117,571,493,024,669,033,554,260,046,
022,143,110,165,619,467,238,526,269,313,955,215,573,233,888,716,096,620,781,
026,749,820,472,991,106,643,969,615,108,934,721,591,870,334,555,041,206,237,
430,991,970,446,960,176,264,558,125,216,174,164,614,876,339,408,723,668,553,
616,336,109,371,199,624,486,830,705,394,043,613,579,775,099,797,497,216,848,
568,354,674,567,023,695,624,396,556,445,058,726,294,529,468,237,863,895,605,
355,420,432,784,020,888,492,663,571,423,294,855,952,304,053,556,262,241,729,
103,075,095,579,523,676,707,287,176,835,097,830,490,771,669,675,535,769,071,
271,757,165,354,976,608,232,727,925,683,202,726,236,099,004,386,355,713,948,
168,734,240,770,288,930,659,962,099,530,983,160,315,462,540,259,281,735,853,
419,730,183,733,420,263,381,631,867,130,556,945,491,918,904,771,046,627,615,
557,552,230,662,116,603,515,855,762,272,475,883,100,695,514,427,559,584,507,
543,144,763,414,950,982,274,487,590,382,208,941,498,974,606,047,214,104,702,
530,468,149,531,541,814,904,225,498,934,497,225,372,295,657,484,760,399,843,
906,194,358,739,788,235,434,115,234,435,757,923,133,197,995,517,860,863,912,
640,901,745,423,533,183,430,877,863,672,989,903,621,332,792,273,659,755,925,
738,561,634,576,717,090,892,878,406,318,398,323,133,577,614,973,453,886,803,
541,921,805,475,620,055,209,322,071,070,031,153,307,435,897,013,933,922,651,
015,130,877,006,416,777,305,748,856,583,316,084,779,851,352,535,931,940,148,
838,318,412,384,330,430,237,563,372,284,429,449,131,434,160,183,757,360,529,
682,592,351,812,024,058,644,741,165,217,799,041,141,382,630,555,051,501,524,
884,283,005,371,620,242,427,245,003,971,961,114,596,585,192,291,590,146,779,
802,225,913,717,455,846,550,616,638,321,832,902,500,929,268,169,603,371,881,
301,244,242,381,332,113,918,386,442,484,545,603,392,686,469,913,209,540,147,
328,103,726,225,405,985,880,899,589,245,567,371,458,335,300,002,017,158,624,
248,445,871,495,235,363,275,187,309,031,595,623,172,865,920,733,524,412,133,
910,741,623,339,441,972,423,358,326,889,316,898,842,702,386,979,145,788,589,
701,003,929,665,475,483,498,347,718,019,573,279,713,107,171,164,822,669,992,
903,898,299,959,873,066,464,857,011,674,324,582,233,439,601,069,037,398,306,
956,410,535,839,276,333,845,267,566,267,458,024,119,807,305,264,646,483,302,
333,149,877,369,563,636,782,674,297,165,618,655,926,766,443,738,074,478,357,
361,769,679,311,029,986,438,345,104,825,583,678,145,390,274,195,595,626,271,
180,910,173,372,960,143,114,063,779,867,769,059,668,606,882,222,435,763,419,
743,701,468,227,209,921,250,064,237,099,539,596,892,696,233,912,355,928,526,
938,609,194,287,724,833,052,010,005,903,722,363,313,158,434,129,700,409,335,
226,257,826,102,533,577,991,093,470,727,730,511,553,056,435,132,551,972,549,
103,205,720,059,209,126,618,805,680,706,474,821,388,381,744,470,523,846,125,
826,888,192,641,412,063,619,016,595,730,636,097,192,930,533,928,378,133,823,
723,565,067,922,119,283,893,997,181,231,661,168,351,783,210,999,769,465,459,
676,375,463,225,273,539,368,504,357,570,861,710,398,699,920,660,972,589,825,
633,633,713,501,196,200,107,886,625,473,574,188,130,394,067,731,720,967,048,
772,957,203,053,149,564,699,610,659,606,669,054,144,518,695,561,754,895,264,
122,590,467,060,948,035,879,240,682,797,113,709,967,347,393,318,859,524,910,
421,927,644,499,353,601,271,456,579,550,136,932,712,370,584,956,092,734,762,
354,378,431,291,411,797,261,001,360,379,664,712,418,164,941,656,129,545,961,
241,571,533,807,277,869,762,728,014,286,514,969,266,819,894,877,636,829,022,
803,867,977,056,394,314,116,506,321,693,490,760,022,409,996,694,947,038,930,
886,435,951,201,538,160,808,535,771,024,021,178,699,200,190,700,965,036,668,
041,924,701,768,210,192,601,532,868,738,477,235,008,603,142,505,595,797,687,
027,693,757,776,746,278,725,880,043,075,957,132,240,958,174,189,670,402,560,
486,396,383,544,819,607,452,431,019,173,170,664,478,941,798,737,323,919,589,
588,502,228,553,233,118,882,841,617,178,781,079,236,484,098,124,435,395,481,
107,407,504,387,316,446,940,296,464,466,150,818,323,510,191,492,732,799,369,
497,133,835,507,363,429,383,447,669,217,697,043,501,100,859,610,361,337,739,
943,894,317,015,515,028,440,194,562,522,915,755,911,377,857,230,108,054,505,
228,053,162,646,817,504,462,383,463,916,951,155,164,863,348,535,688,925,503,
829,788,691,848,804,991,377,652,682,348,040,862,599,260,961,613,906,693,003,
815,870,102,922,630,596,586,553,254,985,640,241,057,192,856,949,070,401,400,
794,964,299,808,255,393,041,107,108,987,679,273,194,311,947,260,985,470,487,
520,975,056,876,981,889,165,684,150,167,509,874,256,962,073,561,228,901,289,
535,218,663,844,121,114,102,190,048,566,360,115,028,729,972,944,525,502,925,
036,491,390,872,554,796,884,021,815,469,075,898,299,338,525,612,281,552,359,
179,393,538,938,528,211,277,037,272,557,055,661,045,131,143,403,039,742,199,
160,450,778,373,177,373,060,672,391,307,597,839,923,738,070,869,873,677,068,
641,208,221,531,827,352,078,880,776,483,396,615,428,965,581,094,510,104,822,
966,511,073,515,619,274,027,462,510,492,118,887,253,955,913,304,589,028,898,
550,058,788,273,937,313,811,921,155,396,447,862,657,171,701,913,765,934,777,
304,853,461,922,582,080,962,775,449,614,903,730,392,778,656,701,018,109,836,
881,262,455,341,601,320,388,890,372,539,128,748,395,898,638,812,903,036,756,
093,131,312,476,828,340,132,560,527,252,266,716,398,533,105,890,861,014,074,
277,765,158,522,817,708,175,810,095,681,418,534,408,708,915,722,953,700,891,
931,592,270,185,019,226,044,800,394,059,762,457,790,350,070,279,033,326,520,
264,493,145,570,946,743,519,180,940,031,050,499,962,485,636,468,686,224,053,
055,401,619,671,079,123,396,682,489,587,890,492,227,146,102,405,958,056,949,
075,680,930,791,085,425,616,215,861,110,246,734,391,417,292,193,167,435,733,
046,401,435,252,661,658,490,289,201,432,565,600,115,599,537,531,050,254,746,
756,321,700,955,681,459,880,838,028,577,343,276,433,511,985,329,667,491,102,
798,969,314,557,450,684,202,275,334,018,473,779,648,413,617,063,216,276,825,
613,415,031,975,887,731,460,610,602,010,085,242,646,313,203,171,055,404,508,
676,724,572,547,613,322,997,551,319,003,759,656,145,610,775,750,984,325,983,
127,732,519,608,998,818,875,427,782,399,817,340,228,814,990,804,935,192,736,
733,213,105,837,874,394,677,534,705,687,505,082,751,462,852,535,613,054,384,
094,257,351,587,208,775,107,452,283,271,178,403,086,838,317,197,918,566,212,
250,462,435,681,869,900,927,224,145,766,710,219,574,979,765,135,334,766,906,
389,659,624,300,155,679,003,090,573,822,466,726,668,691,525,624,956,240,121,
789,471,804,929,794,577,930,110,749,457,807,442,864,405,509,701,226,439,473,
121,778,618,309,984,435,695,746,211,146,203,736,108,934,865,115,250,333,179,
480,339,597,385,252,828,199,605,586,024,129,329,018,098,789,080,484,807,098,
805,119,685,987,526,580,519,505,881,294,916,396,505,864,529,307,300,627,544,
079,978,106,240,333,964,572,846,026,685,004,869,369,465,999,644,546,829,695,
805,331,959,810,022,174,597,007,417,874,527,798,855,766,117,405,321,148,854,
567,626,592,325,682,789,382,534,493,647,230,848,685,026,186,631,802,211,102,
968,783,013,215,409,823,574,791,657,557,889,921,479,956,126,080,286,634,599,
436,125,458,617,230,305,054,785,623,739,113,692,652,635,150,848,314,692,274,
616,883,907,892,506,990,126,242,340,727,752,198,500,966,980,114,329,062,195,
602,017,360,698,337,792,006,546,253,033,742,168,755,844,321,254,605,169,195,
433,515,204,834,826,177,606,813,868,427,491,736,286,790,919,304,475,808,531,
614,064,985,417,002,580,912,606,653,487,544,925,555,231,374,982,058,839,013,
533,277,363,992,103,817,952,159,870,411,863,336,984,305,359,683,928,783,657,
148,732,476,115,903,542,586,252,508,344,191,031,774,374,569,123,119,740,124,
066,460,035,472,348,395,369,387,310,082,029,090,979,458,802,948,478,759,945,
188,971,896,177,537,872,396,474,874,079,828,595,550,266,033,482,817,795,580,
371,228,113,635,979,765,508,148,519,580,331,528,193,670,341,316,775,173,542,
011,531,196,056,538,884,962,787,486,440,481,911,492,331,329,217,323,025,807,
507,155,461,378,705,189,081,798,028,090,969,309,634,741,052,668,839,235,792,
879,195,884,044,697,638,120,748,051,988,642,664,787,196,380,412,893,128,187,
673,431,830,568,260,078,585,285,237,076,882,094,614,422,535,581,858,518,890,
802,366,300,397,536,011,992,736,503,706,259,575,405,090,347,987,532,960,898,
906,442,768,649,474,930,524,955,034,449,811,868,982,216,986,683,579,484,302,
422,935,297,237,194,111,493,269,933,078,281,869,015,049,967,440,362,038,906,
674,697,441,912,230,363,059,929,882,535,437,543,766,100,932,024,450,789,709,
845,597,516,294,076,802,250,467,448,173,872,085,762,042,459,438,364,498,856,
646,389,986,713,505,423,385,518,285,111,323,313,928,233,643,255,664,148,525,
381,119,253,036,365,327,411,579,726,492,401,201,602,303,756,561,702,171,724,
309,461,408,863,366,308,849,908,105,225,495,995,718,640,074,728,574,601,247,
304,755,557,164,572,810,878,858,506,839,519,236,679,141,009,633,428,633,168,
466,592,716,125,771,057,685,035,046,309,647,416,863,467,301,205,450,407,077,
281,854,391,885,785,576,592,405,195,299,162,715,944,554,309,861,243,244,510,
448,117,362,339,313,054,377,283,678,798,983,541,586,093,963,298,470,695,240,
235,305,345,569,829,916,926,773,654,239,815,325,613,388,070,820,753,760,680,
497,120,709,029,867,096,510,830,124,252,123,377,403,781,922,508,341,364,136,
662,536,552,932,217,490,919,713,581,756,624,462,066,406,471,992,371,906,817,
417,019,817,982,357,900,025,565,026,687,153,394,977,236,552,743,169,117,872,
219,813,740,378,851,395,656,342,639,530,928,095,377,168,349,581,125,181,445,
055,419,403,431,725,690,894,083,521,728,525,248,684,951,739,831,998,547,803,
493,917,361,818,264,751,636,957,867,458,384,052,458,622,720,113,737,260,833,
766,404,596,917,339,123,231,700,092,445,090,894,115,073,435,693,554,115,646,
234,896,372,876,802,832,607,613,780,936,042,164,670,489,973,884,124,394,858,
645,013,112,733,240,841,592,537,808,145,542,286,180,584,095,004,648,930,379,
300,916,026,229,532,062,787,123,508,761,790,752,132,401,319,877,980,479,057,
009,353,814,418,329,279,988,428,215,984,114,261,073,105,110,006,296,131,081,
628,929,906,159,324,095,700,077,880,329,045,346,958,253,150,746,117,343,850,
298,118,980,585,222,557,639,372,455,331,187,902,823,670,533,702,204,049,098,
392,797,883,606,014,179,249,596,887,298,061,883,340,817,205,622,790,223,972,
718,692,610,125,458,154,918,026,786,246,205,937,752,248,404,048,735,916,442,
440,853,011,005,595,507,500,764,126,387,639,346,077,521,967,429,496,327,796,
573,767,957,969,558,668,332,958,703,220,170,880,797,311,639,384,374,020,675,
582,039,820,295,448,432,960,192,849,614,419,955,548,887,482,536,811,035,025,
540,065,705,251,083,673,184,396,474,100,770,664,365,840,382,174,512,951,753,
283,899,066,392,907,007,313,916,892,820,965,967,945,882,885,138,034,308,378,
276,223,315,232,287,603,341,821,130,685,004,051,016,060,850,806,563,551,009,
613,325,128,182,629,410,593,816,423,871,627,694,169,878,988,213,302,033,749,
298,795,664,011,599,168,640,230,965,050,720,696,611,973,351,015,050,497,094,
538,035,082,838,188,162,350,416,091,694,660,229,543,762,417,007,437,116,736,
468,181,905,819,508,804,600,174,845,356,927,266,522,715,949,055,627,576,013,
592,024,600,901,979,559,037,940,234,790,269,114,303,064,937,120,152,989,727,
475,429,028,343,799,272,710,433,889,146,823,396,322,905,997,570,046,411,275,
025,114,390,542,520,361,356,280,383,835,156,050,461,843,641,033,757,229,207,
239,574,264,587,968,683,823,638,018,077,974,863,392,989,660,108,195,387,857,
028,822,948,597,900,555,736,000,972,703,240,446,181,807,667,528,108,825,470,
373,617,861,382,279,383,721,348,918,877,365,022,180,675,726,431,226,222,284,
242,630,129,384,637,916,847,424,979,412,123,992,463,866,228,786,066,499,310,
263,405,521,872,881,370,323,768,526,080,325,059,670,036,357,818,412,818,125,
717,971,908,646,881,753,332,704,928,004,994,331,350,486,502,189,780,501,829,
343,123,557,331,911,939,984,572,210,506,087,782,343,148,222,458,262,151,667,
466,853,967,912,187,231,997,675,723,293,523,408,826,725,206,730,237,976,906,
064,858,541,603,307,193,409,620,629,524,547,691,869,274,354,181,135,563,211,
245,297,172,765,511,046,849,280,306,555,449,393,315,704,736,474,507,295,664,
920,338,754,921,874,332,091,392,053,005,024,058,936,485,586,099,638,843,745,
813,939,328,821,695,227,583,984,298,785,206,413,542,198,084,450,136,418,371,
946,367,339,641,579,327,218,835,151,243,206,493,727,045,397,413,647,338,738,
943,764,602,006,083,053,101,189,817,915,159,022,566,606,212,310,222,790,793,
756,317,197,062,505,196,174,473,146,893,046,374,974,792,398,521,301,354,526,
146,799,742,853,774,405,783,418,102,050,168,197,198,519,691,113,191,567,605,
232,688,013,765,505,913,184,746,136,527,196,573,587,837,396,140,990,346,327,
470,184,211,987,969,325,349,089,879,499,760,814,985,340,765,022,627,976,800,
677,184,977,760,985,035,131,109,735,604,350,958,941,261,173,589,956,363,606,
823,659,596,563,178,729,984,466,932,376,792,332,710,473,017,678,978,565,637,
536,989,739,941,585,353,417,857,351,349,512,828,724,227,205,312,030,029,759,
572,205,811,149,715,026,518,530,042,891,084,463,035,119,153,806,266,697,939,
081,778,631,992,329,349,770,961,841,836,785,623,816,782,428,683,836,732,905,
455,659,068,367,516,502,841,206,234,450,750,933,547,189,724,825,798,600,618,
259,943,784,962,265,916,623,171,427,094,366,367,864,406,844,065,050,618,871,
833,792,026,371,861,272,487,683,218,631,719,790,284,996,211,838,179,049,079,
093,376,706,309,660,545,736,967,399,645,245,428,733,700,093,035,860,116,921,
909,482,603,379,346,324,603,852,412,812,665,735,060,989,080,289,030,242,706,
025,087,530,886,969,298,853,637,352,839,105,274,015,011,061,707,287,582,418,
452,051,313,934,348,684,116,454,848,538,659,308,491,202,772,809,029,824,486,
654,492,456,087,462,777,625,777,045,106,679,720,826,208,515,556,032,846,723,
913,799,089,330,905,981,800,254,641,505,489,118,071,645,125,392,165,901,702,
184,563,382,758,938,209,766,070,682,747,910,701,998,232,693,128,477,680,327,
588,610,113,269,719,468,054,399,684,633,437,341,802,862,287,122,482,248,431,
736,556,062,938,061,735,687,460,246,266,647,388,938,832,300,519,321,363,005,
930,860,298,602,494,027,713,479,373,015,949,862,395,819,773,694,051,439,525,
865,811,111,115,238,581,302,862,424,426,827,023,793,835,442,488,649,893,258,
717,235,505,501,127,893,139,083,534,608,347,501,426,415,110,873,247,024,316,
477,816,034,814,845,410,309,494,751,362,322,511,967,072,937,997,096,503,539,
235,259,537,238,767,855,428,921,275,853,462,431,682,083,166,542,061,362,894,
319,124,084,346,434,591,362,626,185,945,379,741,806,242,209,234,271,930,368,
995,105,159,326,388,376,828,435,432,811,201,864,910,191,445,491,095,234,324,
423,460,957,325,704,195,889,842,592,666,753,998,982,086,540,644,766,249,396,
022,548,057,204,343,982,568,550,187,216,465,513,271,302,235,690,375,226,521,
436,088,994,505,547,443,740,067,459,677,387,662,433,836,540,277,546,293,726,
895,891,237,715,447,515,435,379,462,949,377,247,841,007,028,291,683,423,276,
533,364,081,185,651,961,014,690,999,897,702,997,831,204,316,130,229,711,871,
052,156,275,736,016,016,453,306,646,925,331,737,906,274,574,663,569,308,336,
427,891,033,863,719,942,281,010,231,221,996,685,385,837,069,235,922,768,862,
505,908,987,151,035,802,486,570,962,505,448,185,154,877,097,231,817,297,714,
621,828,188,750,682,225,405,046,908,114,064,442,493,834,014,564,839,757,709,
174,165,660,625,866,037,691,423,709,001,937,202,561,050,842,553,280,536,796,
882,732,324,860,707,438,340,280,386,493,623,269,400,461,493,455,292,612,187,
735,349,925,739,660,768,569,640,737,838,959,014,841,284,907,223,511,507,336,
283,564,151,779,033,584,894,680,353,813,177,510,363,470,772,426,440,390,215,
114,721,294,982,206,749,178,412,231,432,187,910,310,900,391,699,271,327,661,
845,439,925,937,426,258,132,437,695,364,803,712,693,662,991,105,468,455,329,
796,472,127,098,048,663,542,104,430,041,467,057,424,840,435,313,628,169,426,
157,685,383,537,876,769,133,157,222,335,087,362,796,763,318,767,968,607,150,
417,929,595,113,942,825,539,423,333,034,457,064,116,515,764,327,517,611,008,
612,082,294,521,391,262,409,983,545,364,309,199,623,931,418,165,182,350,770,
591,385,550,722,659,398,031,075,479,674,542,085,635,450,633,546,126,776,544,
382,045,453,654,480,296,744,711,141,915,456,390,513,310,358,129,211,496,705,
222,151,827,503,570,960,190,942,504,413,606,226,599,974,258,487,620,289,679,
412,667,904,087,868,187,184,743,484,078,948,261,733,320,308,901,120,241,853,
086,461,458,593,837,961,786,245,106,993,047,195,109,817,016,024,140,442,122,
319,083,868,974,864,094,777,024,836,852,380,302,325,929,814,761,951,616,272,
524,358,513,481,192,747,425,064,939,738,908,017,667,610,442,983,726,138,693,
480,945,004,828,825,702,030,036,085,214,529,427,792,468,278,611,623,686,458,
802,066,550,196,481,896,589,272,202,899,423,000,118,973,041,645,325,870,769,
313,488,074,584,512,591,402,891,120,697,914,756,980,357,506,415,720,863,088,
607,210,073,709,004,366,582,752,939,831,814,676,861,815,919,049,303,544,855,
896,865,619,037,807,902,797,403,424,509,839,023,024,859,717,785,721,552,366,
773,352,726,252,385,767,808,233,731,324,309,729,426,742,708,059,106,516,677,
589,094,913,257,186,965,296,592,351,486,390,564,146,798,225,157,705,620,729,
024,933,975,681,977,141,815,687,922,954,152,186,459,775,430,581,828,023,246,
168,229,795,786,827,450,789,003,696,751,191,936,223,235,897,335,870,804,500,
781,040,864,545,746,173,997,440,685,050,461,021,682,744,869,329,917,484,633,
995,123,837,114,357,185,604,049,892,486,279,489,331,702,826,356,323,897,977,
797,321,113,904,352,649,514,479,779,281,304,908,708,160,975,386,022,357,486,
798,984,689,897,772,617,686,788,536,931,838,827,324,356,295,699,079,129,897,
067,622,783,262,634,193,131,820,443,069,528,297,188,948,818,727,437,334,520,
033,352,455,212,677,889,095,620,310,780,028,641,153,717,027,435,795,660,134,
316,984,236,125,266,596,442,608,951,078,636,901,990,773,563,951,749,842,331,
380,488,275,824,484,308,644,741,376,796,725,922,571,441,782,873,151,533,160,
002,312,381,700,334,481,331,529,866,030,122,475,981,682,736,417,320,369,674,
747,843,603,072,032,548,840,044,518,744,436,062,439,058,024,203,115,156,535,
110,611,430,368,449,605,201,861,929,565,845,145,052,088,468,852,806,617,414,
137,469,897,337,720,705,403,634,009,920,823,895,028,236,653,575,144,505,843,
004,475,938,352,781,202,200,503,272,836,773,660,437,024,033,262,557,034,269,
638,954,989,039,748,536,300,998,893,018,855,947,859,026,133,208,447,692,510,
336,983,873,110,660,531,085,975,531,231,193,646,116,874,367,467,379,606,606,
424,410,639,443,229,149,658,583,204,585,873,106,575,845,575,914,865,205,871,
720,048,312,299,820,351,151,746,953,256,009,773,943,196,368,803,740,610,617,
728,334,541,194,422,569,681,367,569,818,373,836,874,477,823,200,110,309,603,
969,950,655,962,287,248,047,594,343,110,137,988,698,795,440,772,936,763,649,
782,903,205,954,396,382,949,727,468,995,161,343,064,020,663,193,671,890,884,
748,872,510,173,051,923,837,368,488,732,868,094,804,899,529,015,867,873,281,
238,702,289,332,789,539,073,620,732,667,070,340,735,112,848,249,769,580,442,
525,776,809,751,609,244,350,575,079,326,808,866,897,523,462,428,870,092,302,
976,204,295,527,720,139,465,812,237,636,363,083,367,818,288,747,776,683,580,
600,593,829,770,291,227,485,050,213,720,875,176,802,858,276,729,562,879,393,
229,965,232,175,556,117,753,646,666,890,102,851,141,785,159,207,881,533,404,
165,995,091,368,881,944,438,621,128,675,143,303,230,401,748,003,963,066,781,
192,932,943,852,153,829,696,736,126,732,067,933,181,428,570,409,338,965,122,
864,010,264,884,741,403,079,442,161,044,574,976,744,466,122,492,676,671,109,
420,280,333,153,185,569,123,048,770,871,890,606,074,117,745,580,686,311,562,
125,636,157,863,471,960,579,898,974,041,630,922,292,210,260,172,839,464,875,
267,596,736,147,315,249,280,183,950,030,017,992,586,770,632,847,359,194,815,
871,607,502,297,871,818,785,604,244,737,540,901,860,580,034,703,805,749,249,
674,821,876,214,204,788,104,300,767,944,015,160,763,529,461,646,938,382,733,
231,523,564,232,599,927,285,010,925,124,045,577,098,928,222,377,968,762,522,
714,755,650,337,435,559,621,904,648,688,026,614,283,663,018,971,071,149,022,
364,396,206,665,655,898,666,140,450,965,179,655,171,477,058,967,589,789,729,
479,887,163,817,410,177,840,091,414,969,575,214,036,817,395,932,889,140,177,
384,583,658,757,445,332,620,330,487,495,073,372,827,380,911,361,955,993,133,
632,864,294,576,306,441,992,864,775,194,936,418,978,317,848,589,685,928,859,
267,317,061,621,673,502,812,520,303,996,610,074,810,921,029,590,007,106,773,
643,033,801,028,698,490,039,923,975,178,092,524,899,456,300,653,177,751,242,
763,864,451,166,797,855,808,531,151,538,755,113,322,636,357,382,202,433,229,
151,381,934,604,641,445,772,689,846,268,915,308,608,594,315,744,266,660,011,
184,371,170,281,129,413,393,251,649,801,170,412,232,643,249,774,266,072,112,
214,222,909,643,846,982,792,856,034,178,770,870,661,587,750,596,155,416,172,
761,444,758,301,958,436,741,451,279,320,278,706,564,869,175,137,472,857,558,
947,738,043,604,358,505,737,936,639,518,420,122,251,552,761,205,797,598,196,
918,376,207,330,247,242,053,685,589,269,106,870,605,463,712,585,520,824,354,
012,855,377,364,085,294,686,809,749,951,897,569,742,098,465,310,130,516,550,
954,383,476,150,725,919,082,416,955,594,832,351,764,215,407,616,651,695,547,
592,745,597,684,174,146,187,683,034,736,133,230,115,404,793,614,132,368,175,
382,303,208,796,149,795,725,563,131,742,098,605,738,758,562,549,777,857,394,
686,157,323,407,959,292,910,422,903,761,634,546,573,327,964,352,857,362,975,
754,444,466,595,482,040,057,625,744,588,094,488,349,062,786,175,269,070,972,
424,539,260,747,227,405,872,732,464,908,424,793,869,905,190,672,760,554,114,
528,707,258,700,798,198,963,402,391,986,334,669,378,724,736,956,886,787,730,
439,369,519,462,991,445,584,276,373,183,727,108,452,640,769,869,040,321,171,
843,818,308,531,268,181,531,691,688,048,206,977,920,704,594,244,991,965,842,
528,611,872,964,291,117,548,420,209,727,028,497,163,524,812,769,866,413,850,
286,202,459,570,053,685,551,853,034,035,476,445,796,087,430,673,711,345,877,
156,787,616,199,760,299,549,105,025,995,000,260,150,889,681,050,411,403,454,
891,020,386,682,868,206,286,742,041,013,069,472,018,369,045,749,561,218,900,
906,723,681,288,582,087,814,391,151,798,787,684,842,446,497,877,752,967,339,
751,184,911,670,812,246,658,662,318,247,282,367,883,044,113,582,603,368,499,
230,472,699,677,793,186,537,633,983,577,092,258,753,890,138,288,599,307,574,
673,400,110,209,216,280,236,383,685,382,144,385,380,244,001,923,724,300,011,
000,161,619,453,019,597,416,192,709,315,273,678,670,139,687,221,696,250,178,
715,496,255,430,483,036,562,896,562,377,336,259,718,103,075,714,118,025,897,
446,213,286,809,472,219,537,285,540,348,447,604,406,925,282,519,500,613,863,
104,131,146,316,143,640,263,364,421,920,065,384,149,252,323,115,275,733,865,
460,218,897,145,757,173,622,161,054,684,496,884,533,413,379,749,235,261,296,
331,716,930,822,946,659,264,092,917,160,375,658,987,338,992,473,028,214,956,
832,931,196,879,724,264,515,612,810,473,991,230,051,023,243,095,229,084,349,
599,050,029,242,238,084,652,166,372,002,957,323,330,303,403,188,668,590,115,
998,627,252,582,028,673,737,785,864,585,419,279,639,909,769,588,560,148,773,
451,831,981,101,155,533,492,574,595,257,742,498,250,444,125,245,878,901,053,
286,065,514,151,294,656,601,565,150,906,300,334,551,150,255,116,853,403,415,
022,337,532,619,311,917,336,405,260,220,677,783,656,985,977,875,317,819,850,
921,209,794,122,810,955,539,829,157,597,634,574,949,738,409,080,265,184,064,
711,981,566,762,125,209,242,649,888,818,829,735,316,987,722,274,995,704,748,
431,343,896,691,314,459,465,783,947,107,619,385,811,434,209,949,664,064,603,
597,345,883,805,023,388,877,819,061,265,954,753,799,513,640,218,018,085,636,
256,353,916,616,711,297,164,210,866,490,292,038,852,800,363,724,150,968,769,
740,555,360,714,128,183,823,696,466,188,851,493,776,119,263,123,989,073,662,
435,638,817,977,442,235,060,200,410,712,476,260,578,129,891,723,622,919,360,
568,737,481,194,019,347,404,092,128,409,053,199,467,231,449,635,775,188,560,
001,500,254,736,599,123,807,156,198,211,389,764,960,230,567,665,375,659,945,
726,852,111,297,922,662,004,865,985,177,015,052,125,390,723,477,387,391,223,
517,132,222,506,900,973,072,753,831,776,552,153,421,206,768,090,388,753,368,
581,815,015,519,482,373,987,159,775,624,349,761,562,676,747,911,278,713,940,
078,356,739,994,205,980,497,709,220,020,905,510,491,215,851,362,520,728,196,
554,750,781,682,930,248,426,051,177,618,328,846,533,097,247,234,967,505,678,
842,683,738,336,393,417,136,321,203,433,223,614,321,386,135,052,966,589,171,
582,779,658,085,960,057,971,283,194,199,433,303,103,364,352,116,931,762,287,
435,524,989,938,566,355,313,421,271,649,664,317,973,695,285,616,284,613,025,
028,394,129,766,213,501,662,712,031,745,481,060,589,419,573,009,982,071,546,
396,893,385,057,110,631,099,284,840,400,086,896,610,228,424,264,032,871,474,
447,598,753,790,050,816,815,160,082,057,811,702,006,631,765,031,209,016,894,
080,523,299,216,075,177,417,393,187,123,639,342,234,374,779,738,676,568,764,
897,384,311,723,190,039,652,483,003,132,664,579,343,368,153,095,001,059,879,
460,114,400,873,704,111,472,398,805,832,823,240,394,281,589,907,058,130,333,
563,810,315,797,654,233,577,262,732,198,219,001,563,817,379,911,515,646,882,
313,456,580,613,350,099,271,554,829,243,062,048,674,665,560,477,148,808,100,
033,448,110,028,268,133,251,328,556,465,205,674,998,759,550,836,290,322,939,
637,839,799,681,910,200,080,629,376,701,574,805,060,971,094,389,700,884,836,
156,939,677,805,769,484,022,251,718,940,411,401,503,006,716,252,363,554,911,
578,459,331,027,379,632,161,779,282,067,763,620,267,868,167,010,326,830,964,
977,530,695,753,786,661,589,894,366,620,768,352,451,240,568,932,047,259,359,
056,074,067,395,661,602,028,385,136,814,836,906,005,991,146,627,537,201,344,
122,398,157,707,455,474,103,578,642,614,259,302,636,850,397,923,042,274,498,
404,817,589,235,129,027,912,086,190,105,553,010,909,758,446,491,676,943,788,
155,364,482,087,267,999,858,333,873,912,487,464,710,348,489,523,729,722,385,
010,254,801,407,694,950,617,677,462,552,157,801,757,864,495,628,833,469,685,
465,622,301,147,823,616,460,610,718,782,686,946,544,538,059,412,572,615,489,
421,499,010,924,058,115,513,829,354,198,510,837,919,531,929,539,748,548,669,
821,446,946,883,145,434,321,459,163,691,852,922,030,748,733,033,232,858,575,
550,873,314,896,770,916,116,100,703,336,009,951,712,451,069,572,140,566,958,
079,813,216,918,819,029,000,075,417,548,870,222,565,593,871,489,495,905,682,
618,786,008,744,042,528,660,387,881,864,236,984,030,654,222,243,900,376,834,
286,445,397,681,431,599,299,030,835,684,768,515,083,834,564,399,308,813,040,
849,340,611,197,370,198,373,291,277,584,885,676,493,910,662,797,419,366,255,
746,524,454,912,146,590,919,490,239,880,305,597,830,953,287,848,684,339,976,
860,940,798,199,046,789,279,709,894,242,075,325,600,567,210,836,363,827,663,
676,622,269,863,880,352,108,230,878,209,831,239,952,466,426,598,432,804,325,
709,344,662,946,741,524,623,504,756,992,637,855,587,983,476,362,590,318,344,
443,821,843,927,670,651,854,523,866,834,979,273,381,842,893,306,422,884,356,
417,387,497,992,609,753,592,744,087,616,225,616,468,580,924,472,382,069,667,
104,174,464,354,401,852,554,178,932,411,146,406,445,867,889,502,468,782,657,
203,242,898,448,564,181,941,066,994,382,248,944,601,331,878,284,725,538,365,
108,023,975,667,122,527,740,046,833,176,422,444,635,488,828,841,935,287,864,
128,952,534,634,656,673,162,528,508,725,115,911,316,987,889,133,491,633,230,
572,529,813,827,663,089,895,957,114,315,616,741,889,810,565,706,675,829,513,
611,682,895,153,349,946,726,759,033,716,286,947,521,367,098,088,047,049,668,
766,077,781,802,213,241,782,858,051,626,223,016,762,872,683,914,114,457,671,
799,537,015,488,573,804,008,505,291,862,137,007,091,712,281,337,077,249,788,
819,502,184,757,484,243,207,604,618,830,925,905,703,463,650,384,246,721,603,
061,030,985,227,338,275,391,595,202,770,336,783,523,254,035,876,807,375,094,
629,871,978,984,911,465,369,647,062,443,968,036,857,115,821,771,505,131,298,
324,177,197,875,669,428,541,883,854,160,565,931,022,178,430,921,711,529,265,
636,167,122,852,247,012,946,855,846,031,615,214,430,038,969,545,063,605,112,
240,864,536,314,133,110,152,280,022,291,283,800,689,425,986,430,048,569,566,
708,799,488,199,801,046,049,015,468,274,516,509,952,760,953,004,533,283,384,
548,740,668,449,507,991,456,977,112,734,121,827,161,772,242,625,948,209,382,
947,814,941,791,133,572,484,339,023,549,199,991,793,689,706,440,153,874,007,
304,503,072,587,333,860,995,995,664,877,123,489,495,380,959,930,347,166,136,
345,854,035,544,917,910,760,694,650,289,936,539,433,364,945,716,859,114,695,
936,220,732,068,443,207,340,012,329,592,493,729,776,013,125,495,302,715,762,
380,855,992,257,669,631,203,380,420,845,934,992,724,858,706,595,550,953,838,
479,581,724,155,473,014,923,256,933,633,862,929,709,482,052,097,296,785,076,
617,042,467,045,729,782,368,694,088,054,599,097,488,215,178,083,115,807,231,
879,141,343,470,555,613,451,596,516,230,506,636,627,105,424,465,750,475,293,
529,926,523,822,139,641,213,315,579,470,688,972,325,821,086,199,883,196,932,
326,314,419,793,600,321,675,984,505,089,435,481,220,072,289,001,422,850,661,
325,444,316,383,457,303,751,852,240,625,686,298,176,134,237,948,682,252,638,
150,913,071,526,847,293,850,835,648,403,636,792,811,880,652,366,342,831,126,
985,323,167,019,059,711,813,069,807,449,315,633,730,891,817,979,771,656,878,
355,092,815,678,017,209,649,408,339,618,234,419,222,860,628,883,394,369,798,
212,486,752,347,554,898,863,699,402,651,335,827,717,484,482,944,918,983,757,
892,972,247,444,597,150,096,737,814,981,309,405,232,040,306,128,356,654,131,
538,085,794,788,924,501,585,134,663,369,877,801,479,236,195,996,805,923,654,
996,569,644,536,206,214,974,193,671,367,366,922,972,990,012,849,561,630,979,
519,277,636,317,057,650,732,635,137,143,783,811,705,148,272,677,991,460,049,
868,215,691,074,333,478,306,685,542,862,282,760,396,695,764,563,705,297,891,
063,103,899,893,380,261,936,741,022,800,804,650,071,419,819,547,957,360,265,
320,134,474,141,529,030,279,115,261,805,735,580,757,596,291,042,778,426,869,
964,317,558,412,884,689,830,081,822,020,933,369,363,305,784,327,163,997,423,
687,925,510,419,031,755,414,797,563,311,522,722,940,078,449,423,681,212,020,
604,711,988,084,102,876,055,877,476,016,441,123,336,607,981,932,509,690,070,
005,235,723,604,173,838,687,967,971,987,468,787,951,107,778,073,466,858,506,
119,502,732,834,706,020,742,213,707,967,786,469,650,931,856,939,570,259,480,
434,771,550,631,780,110,518,818,156,500,109,720,866,874,792,302,436,560,295,
132,721,230,994,316,472,764,057,750,841,543,452,793,868,042,049,554,444,124,
026,688,488,308,906,027,531,818,704,298,021,184,815,823,438,602,393,092,610,
325,374,432,299,292,391,958,323,707,708,186,879,964,672,337,841,342,528,818,
369,928,966,340,155,788,142,813,248,865,677,075,547,182,038,204,505,212,127,
276,349,040,796,453,242,881,060,207,349,079,764,278,610,382,610,059,445,886,
195,477,065,343,064,713,797,504,583,306,605,855,020,253,613,470,572,860,094,
426,722,171,608,404,196,494,343,070,247,740,062,960,182,740,913,848,063,529,
757,325,035,845,036,930,950,651,532,004,651,974,348,672,287,872,363,931,704,
513,016,885,825,914,737,479,392,678,207,358,044,974,305,003,126,850,822,368,
900,866,019,249,543,841,872,705,674,217,896,418,969,149,384,628,161,580,568,
898,304,624,656,219,303,916,150,061,349,470,448,015,438,759,182,889,346,399,
790,038,267,415,614,191,131,197,863,310,511,277,381,362,685,354,485,851,633,
755,975,561,365,080,473,655,971,508,050,554,725,222,334,765,014,078,040,441,
132,815,173,741,839,130,805,815,551,902,139,436,689,029,200,648,732,195,715,
816,592,696,986,044,173,629,106,717,068,591,361,877,272,959,391,439,428,573,
061,662,784,381,804,085,252,409,182,444,972,512,257,484,956,035,904,639,658,
272,289,897,745,962,016,998,746,475,235,720,617,084,941,743,827,511,020,028,
910,839,092,426,358,575,411,229,647,887,138,893,779,883,964,817,790,876,662,
259,541,748,429,377,289,183,064,941,604,167,441,269,548,929,530,375,118,433,
029,939,156,016,602,137,227,047,013,832,821,197,121,057,268,055,524,014,259,
332,991,841,551,854,146,416,750,084,987,531,931,265,964,752,492,654,470,631,
147,766,290,613,833,678,775,311,738,768,756,147,992,890,646,658,837,808,914,
069,895,428,498,311,036,816,077,474,791,211,806,638,037,461,246,561,759,810,
025,882,665,017,126,006,629,727,054,086,352,200,870,700,059,055,406,979,531,
210,541,391,409,109,915,316,419,031,196,409,866,028,442,813,991,119,400,440,
312,764,150,190,053,021,709,693,747,961,200,224,905,269,550,766,135,128,862,
890,488,124,834,841,818,687,701,601,043,117,041,475,624,011,929,735,967,111,
346,920,953,755,698,473,171,161,550,443,656,863,857,619,825,731,707,172,464,
855,311,043,691,001,086,637,728,457,946,241,727,571,798,468,075,668,289,442,
161,545,993,102,803,300,563,335,783,492,020,791,355,250,789,563,367,397,248,
152,975,447,619,901,343,528,727,641,015,744,110,826,965,971,687,795,751,435,
052,928,468,129,962,828,786,759,218,333,076,503,200,442,970,425,816,925,045,
792,185,705,263,507,697,272,460,920,763,839,040,944,243,585,594,655,683,615,
152,283,712,042,550,801,953,479,159,038,893,452,362,730,551,044,766,320,711,
714,866,699,753,532,346,674,721,302,756,773,313,221,349,990,029,375,087,294,
306,672,889,684,892,812,805,449,261,868,884,142,770,751,500,445,435,731,814,
649,197,048,042,895,452,930,543,839,387,345,995,520,903,105,561,021,543,982,
875,875,851,359,040,763,681,053,535,715,822,171,161,390,693,964,334,950,214,
188,349,693,547,102,098,699,773,327,964,777,069,950,675,174,188,331,098,288,
840,421,959,520,147,245,209,320,273,677,143,273,142,067,622,500,949,387,491,
096,613,082,990,495,635,156,040,038,440,523,614,934,942,108,250,293,583,714,
379,935,884,586,184,081,624,896,189,922,798,157,790,666,312,805,553,117,854,
155,362,794,115,517,249,654,219,604,231,696,375,107,793,334,034,337,247,690,
901,518,314,478,691,821,521,798,954,301,505,609,462,945,323,149,401,670,894,
402,138,426,797,662,886,139,608,348,530,423,343,964,860,023,680,369,649,922,
546,787,346,569,202,856,850,055,398,457,535,332,084,359,081,527,072,017,594,
197,635,393,575,079,454,479,591,630,704,933,158,854,265,029,550,404,631,324,
594,581,727,901,513,000,041,731,859,222,991,122,413,385,845,033,118,341,186,
727,760,756,410,589,289,834,853,123,711,511,481,465,207,478,102,258,028,986,
142,547,675,452,708,909,155,152,695,589,508,529,130,878,420,163,013,583,470,
861,854,504,146,274,856,688,431,874,150,752,249,952,236,628,457,072,732,589,
673,489,491,463,175,853,717,735,505,699,274,752,904,921,667,868,996,592,168,
068,433,208,075,220,657,621,478,970,177,137,289,216,791,039,048,729,290,150,
733,021,481,741,173,213,292,599,779,925,545,744,285,306,990,261,406,531,116,
034,757,930,363,488,580,473,906,452,398,212,350,511,514,620,867,464,294,392,
970,453,137,344,075,152,640,506,675,053,876,487,412,722,398,732,386,581,947,
345,582,158,443,512,865,669,811,142,295,737,291,006,934,560,722,643,476,828,
941,286,100,771,718,390,596,390,379,873,941,096,110,085,992,132,584,087,533,
060,360,362,267,815,850,470,004,594,400,539,098,507,729,083,371,119,971,995,
986,365,322,165,089,797,340,166,756,182,457,126,470,948,992,184,985,094,485,
863,530,587,321,300,893,849,155,734,532,407,059,498,566,670,704,298,424,526,
883,192,898,454,807,675,048,831,472,517,790,899,166,604,589,772,556,701,287,
585,932,682,295,339,025,630,256,203,119,753,669,123,910,691,875,316,795,181,
319,915,276,612,856,296,077,518,206,113,556,890,776,998,443,484,994,055,935,
749,683,318,986,735,907,828,760,569,843,172,128,566,168,528,730,338,316,426,
527,061,179,247,497,794,753,849,087,996,141,165,290,145,190,900,959,719,981,
911,179,027,898,279,782,020,352,299,198,572,691,036,787,865,922,968,703,732,
056,353,620,287,989,259,485,029,289,923,269,486,202,387,679,556,020,838,108,
437,230,195,126,624,122,176,410,635,092,454,800,874,415,271,437,698,705,209,
465,780,307,620,479,568,243,414,176,065,341,622,358,620,225,521,135,620,147,
547,948,213,741,688,342,848,593,223,345,290,370,552,315,871,999,109,032,338,
974,569,061,750,106,508,911,572,369,071,111,219,072,909,846,440,808,485,783,
107,619,597,169,358,775,366,873,014,429,446,597,182,406,901,709,057,297,497,
974,167,183,638,679,073,812,344,215,920,071,259,138,116,060,718,515,049,766,
948,198,852,524,299,637,390,703,603,027,771,362,436,989,841,430,508,685,049,
999,511,502,712,439,725,977,173,128,797,571,211,343,995,698,227,142,414,950,
203,921,197,594,931,565,044,413,427,990,299,574,880,134,142,717,733,902,585,
469,046,454,561,913,708,265,633,625,625,051,041,665,055,334,233,465,422,868,
570,043,887,724,260,327,616,557,267,229,448,821,845,443,075,459,474,015,976,
152,006,480,964,524,907,402,692,244,481,648,297,163,453,244,448,521,897,539,
273,830,181,902,023,196,898,956,516,195,067,647,320,107,867,013,099,767,990,
031,720,923,889,431,156,048,958,701,741,726,416,221,055,434,054,269,343,382,
788,329,710,285,031,494,962,711,623,895,760,454,983,126,602,546,112,330,218,
870,629,213,334,526,866,948,740,412,831,787,510,141,219,785,277,841,930,355,
009,548,332,916,504,538,476,903,907,206,348,501,932,226,038,687,429,522,395,
020,335,440,789,558,319,224,264,286,580,622,345,415,808,209,420,668,019,521,
955,923,884,570,670,695,289,256,851,321,793,596,306,733,570,952,497,150,824,
978,704,095,149,496,736,881,970,405,413,031,295,924,494,968,217,354,444,077,
732,622,356,684,889,464,772,814,210,188,676,500,556,436,620,087,271,422,951,
495,867,655,784,414,042,784,729,268,800,501,305,787,981,096,661,732,349,439,
680,784,116,566,871,229,588,037,538,037,098,221,184,976,311,032,793,702,454,
667,215,412,844,220,916,839,899,187,094,450,645,186,632,611,878,836,477,452,
230,935,682,908,519,597,193,862,837,948,234,832,842,969,513,586,299,841,386,
687,683,971,630,314,729,828,756,000,058,188,239,255,742,262,749,588,856,040,
937,348,287,196,736,621,583,782,169,695,917,040,208,241,279,757,098,403,982,
568,741,854,730,697,240,580,167,340,475,473,609,741,454,903,377,809,497,102,
400,349,900,163,644,885,116,549,807,212,298,716,095,709,428,716,419,558,581,
046,054,869,108,019,135,848,266,214,173,231,245,907,246,478,099,079,601,143,
298,804,988,388,531,743,632,778,657,643,136,677,979,911,708,672,941,467,871,
773,897,120,376,990,761,474,332,329,088,794,573,942,103,684,068,763,009,961,
128,809,207,318,003,379,947,444,909,483,169,959,470,065,199,115,563,648,809,
522,804,215,015,909,058,096,254,301,694,750,923,107,114,032,169,501,643,201,
580,712,429,478,217,485,886,930,360,708,193,777,858,630,009,406,261,559,335,
960,341,519,883,329,164,492,163,500,196,969,369,215,028,134,716,949,188,447,
364,138,948,295,056,965,387,166,885,637,924,347,679,511,410,346,413,047,474,
910,051,411,740,875,964,581,590,497,731,564,484,465,902,437,264,885,147,680,
861,755,662,394,170,653,717,564,258,517,049,619,983,748,104,106,925,411,425,
205,761,637,911,743,464,974,472,938,983,522,794,557,043,660,719,062,019,542,
009,889,164,481,668,839,064,552,482,405,662,728,187,083,160,314,586,964,282,
033,937,750,185,473,999,981,422,028,332,329,056,255,874,799,119,388,840,425,
237,255,127,731,305,074,650,286,175,630,578,225,513,807,864,335,303,155,519,
381,491,361,991,975,730,353,870,658,740,886,865,021,653,737,392,570,728,873,
217,821,785,376,967,984,969,173,667,935,586,402,795,919,018,133,226,135,184,
948,329,376,916,029,629,285,605,569,175,640,580,168,350,785,311,263,643,589,
314,468,095,462,051,852,665,939,267,288,967,643,700,012,618,956,191,273,125,
953,013,981,793,209,818,591,166,964,446,843,174,975,273,341,829,603,484,086,
304,489,676,828,611,560,129,776,787,519,635,552,322,207,828,205,944,767,997,
971,103,782,412,955,429,446,434,378,215,568,551,224,097,637,103,114,489,292,
829,831,476,586,133,835,109,702,047,111,459,135,835,820,484,628,191,959,481,
440,746,467,040,212,932,874,519,454,975,786,223,222,946,685,144,803,926,304,
876,550,299,104,706,773,637,563,491,388,920,102,242,986,695,730,601,026,963,
768,596,093,644,982,743,354,685,576,628,305,126,327,251,444,644,606,043,851,
864,514,156,591,909,817,134,855,660,296,299,524,111,138,984,534,232,026,335,
270,302,169,604,676,727,485,433,549,947,181,531,385,242,915,545,696,435,092,
857,356,981,921,578,275,840,365,997,442,717,364,353,286,965,836,605,020,563,
467,925,278,889,564,232,785,135,806,182,403,617,650,167,594,304,789,233,813,
337,659,212,521,960,128,744,197,386,901,869,554,098,737,234,051,576,886,937,
681,679,327,576,986,934,334,867,902,348,481,651,568,565,115,575,919,109,072,
412,148,097,470,003,951,223,536,831,550,749,279,138,233,347,161,708,300,353,
389,448,577,680,493,645,502,716,426,827,305,527,263,702,734,886,499,643,403,
642,266,952,157,215,747,606,662,228,638,814,660,928,508,613,172,735,168,433,
543,427,725,657,903,872,178,765,743,184,027,921,631,096,633,807,966,174,578,
117,914,062,401,368,958,291,566,486,010,249,910,519,462,772,510,601,968,291,
441,653,751,856,260,498,226,449,702,134,624,540,284,837,244,082,719,981,120,
265,909,688,904,476,326,716,398,703,960,706,302,493,478,217,944,044,006,155,
930,285,195,967,005,035,725,499,201,978,807,758,007,385,962,247,438,640,319,
907,282,447,189,042,875,442,565,276,465,676,808,346,164,438,353,680,524,424,
982,666,916,967,325,454,576,363,109,651,437,704,046,953,134,092,152,119,766,
747,753,524,240,236,278,173,290,935,593,325,131,902,708,185,039,142,653,936,
293,485,360,668,443,087,796,667,176,407,083,653,863,468,269,247,073,236,489,
385,282,324,149,238,382,705,475,033,310,748,173,980,799,027,567,411,670,768,
804,106,523,349,958,557,920,718,523,619,776,199,608,945,782,440,683,556,139,
737,330,743,775,248,736,481,925,160,313,063,421,113,948,611,777,657,132,647,
012,846,451,408,263,263,110,751,224,051,991,221,537,552,945,157,149,422,594,
221,422,758,689,593,315,151,711,855,252,296,858,671,603,892,221,954,024,921,
473,877,268,398,393,425,108,194,307,722,916,676,450,232,009,305,790,059,614,
576,495,937,087,394,091,454,592,341,639,542,018,274,653,482,278,152,049,278,
886,690,961,393,572,486,492,962,860,902,980,080,780,147,430,364,378,142,006,
477,503,571,905,209,305,975,994,291,739,527,602,232,716,175,388,398,948,187,
595,474,052,741,239,602,201,642,317,384,362,359,970,120,168,155,036,442,149,
793,193,938,046,528,379,303,751,583,802,011,532,406,112,201,031,319,671,131,
266,309,746,101,678,798,744,658,349,460,127,633,904,158,222,574,522,684,947,
311,768,065,905,040,283,145,819,768,356,207,568,593,798,357,948,523,169,462,
762,457,747,548,271,372,443,645,746,667,944,268,744,731,914,196,078,873,872,
296,076,935,290,379,759,387,317,808,426,639,731,438,025,381,798,176,613,160,
551,398,347,805,520,156,118,536,679,576,907,975,339,804,147,559,600,585,090,
333,832,928,039,782,767,784,023,327,262,956,786,480,162,659,506,972,853,654,
910,583,651,133,441,440,834,568,171,247,851,834,186,741,117,989,588,466,701,
494,299,694,821,629,306,268,693,021,905,648,165,416,900,980,246,091,792,748,
018,413,946,139,717,434,777,926,286,261,471,266,373,887,918,778,926,496,529,
915,745,160,539,908,388,189,958,624,503,176,474,562,498,780,131,040,263,666,
325,503,936,293,244,028,056,779,022,693,976,513,885,999,307,970,344,940,041,
645,908,261,684,988,178,892,293,239,675,661,488,797,872,620,991,188,934,105,
539,839,653,577,115,925,257,704,086,889,452,401,566,721,927,918,417,629,471,
899,733,269,868,779,074,435,621,752,001,192,771,765,505,744,183,028,486,368,
634,721,911,309,332,601,302,618,817,824,421,069,448,593,289,867,074,899,444,
521,352,262,238,390,355,986,863,336,046,276,635,952,580,407,156,212,750,807,
902,899,063,270,658,653,750,602,797,427,882,945,631,535,703,491,504,811,378,
563,484,695,018,043,771,983,009,195,979,244,858,242,889,057,015,114,520,405,
724,662,781,761,611,790,002,198,128,003,725,172,624,774,004,553,580,758,549,
745,011,831,417,588,178,127,703,085,376,703,461,095,669,295,404,194,419,997,
768,633,391,478,257,068,403,065,251,374,773,206,922,733,398,331,497,925,932,
953,588,288,266,392,419,592,074,936,875,697,792,012,855,198,866,110,246,380,
247,064,683,324,796,095,689,124,952,697,283,209,826,776,181,232,028,911,592,
713,894,734,351,566,362,829,438,917,352,577,905,475,393,509,629,594,553,718,
640,868,194,617,253,166,238,468,698,928,601,722,121,831,959,725,993,261,975,
963,325,002,026,553,812,925,840,782,595,647,143,620,181,147,190,015,470,966,
146,127,141,889,174,730,596,858,753,288,976,295,048,186,383,678,949,191,984,
726,904,879,673,905,264,617,834,062,052,102,764,834,336,865,558,831,358,004,
744,966,706,252,708,718,100,626,492,889,132,380,652,386,491,092,879,391,442,
030,909,343,467,023,981,839,615,347,682,329,855,890,014,917,714,347,301,301,
863,882,297,842,409,891,680,789,944,160,882,903,472,486,807,767,870,279,964,
963,232,646,758,078,298,349,061,939,767,561,598,482,405,841,201,233,838,995,
144,328,610,752,584,857,667,897,541,816,018,556,144,191,327,066,330,665,394,
568,009,000,326,423,973,612,219,426,688,528,918,154,417,097,771,067,841,539,
790,990,788,722,635,031,887,241,400,313,244,972,696,466,770,655,207,328,219,
750,786,451,450,680,702,010,230,603,752,293,399,018,192,459,733,991,744,100,
167,062,323,832,731,827,636,978,193,849,816,207,392,239,921,734,010,606,020,
105,241,311,068,760,563,111,867,670,017,336,948,377,974,331,769,379,521,982,
053,653,939,349,458,090,325,957,832,894,552,394,636,997,594,026,559,612,748,
866,292,370,984,256,945,880,513,264,240,865,343,082,860,653,312,438,608,452,
768,873,821,573,234,786,402,368,846,550,716,443,193,310,842,708,002,085,089,
004,726,145,526,690,378,847,845,271,187,938,440,310,475,959,400,911,729,918,
613,975,196,011,106,602,258,260,116,696,459,755,007,117,023,197,816,708,001,
031,870,681,527,997,595,229,920,014,944,714,465,785,767,289,307,440,083,068,
573,577,175,242,169,796,392,869,442,505,442,161,739,311,943,507,597,124,207,
922,868,794,956,093,039,770,105,120,101,610,856,997,997,974,154,828,353,324,
996,039,365,783,731,601,070,568,950,714,737,765,232,062,773,586,039,672,635,
253,138,244,635,996,914,323,059,022,470,555,503,691,717,080,377,946,547,828,
893,281,265,371,713,846,444,038,319,349,478,342,153,730,525,884,287,870,086,
650,990,834,426,956,760,577,449,834,609,722,459,630,555,186,039,048,517,009,
990,930,871,269,325,949,995,126,577,152,394,766,305,191,991,109,401,934,952,
645,161,748,343,972,433,272,135,144,103,680,688,618,896,277,349,378,379,462,
752,267,629,297,403,054,708,932,254,203,528,699,083,838,156,034,470,611,785,
286,484,333,910,378,443,277,707,996,242,146,746,923,528,184,827,979,616,944,
993,512,483,866,069,211,057,359,506,173,774,697,018,104,915,320,030,321,244,
825,021,642,468,918,158,767,080,328,202,011,317,084,445,623,626,953,533,027,
941,070,184,318,403,481,296,798,338,971,405,872,858,767,697,139,489,889,700,
831,042,727,340,108,023,513,585,086,473,611,696,975,399,213,995,806,076,351,
283,688,039,478,473,463,964,759,465,490,595,412,017,968,189,570,815,305,377,
799,861,919,341,790,654,511,321,791,949,333,649,409,433,683,229,767,091,295,
599,858,549,381,793,248,130,743,325,848,527,955,709,554,061,735,040,355,948,
270,206,654,648,410,279,055,541,871,760,508,946,831,841,506,501,637,359,348,
417,656,546,828,702,409,780,570,828,548,613,479,445,937,652,222,663,258,248,
397,853,515,766,523,703,411,789,225,934,693,661,250,306,037,007,589,292,509,
441,695,937,783,485,106,546,637,147,423,776,040,303,767,684,387,350,864,728,
036,266,035,270,999,948,979,716,540,978,099,837,046,003,431,901,413,808,070,
941,511,843,544,905,040,042,217,939,405,913,059,970,190,189,272,032,818,016,
428,419,310,282,546,768,922,825,237,317,816,855,970,436,761,877,186,785,574,
286,930,214,462,989,697,164,577,502,488,139,562,723,744,025,174,055,756,930,
792,814,339,476,021,879,879,962,826,082,601,493,244,616,131,186,728,903,409,
081,333,384,681,321,579,567,357,903,400,633,371,078,527,022,221,877,379,730,
817,948,756,087,171,725,453,214,316,556,524,235,288,806,744,975,479,420,133,
100,193,549,551,944,249,289,343,357,691,759,073,371,010,102,296,606,636,038,
302,274,235,741,092,795,171,602,488,067,227,584,307,425,372,386,882,398,586,
031,078,230,429,665,239,682,635,286,915,801,354,032,993,049,935,863,532,951,
141,343,779,862,674,694,192,187,038,007,119,436,267,449,197,425,331,642,637,
712,588,795,645,380,175,206,874,034,541,707,816,147,386,211,913,875,935,941,
383,223,618,385,690,060,901,540,971,557,706,704,624,421,043,678,034,947,555,
125,301,967,530,173,302,719,526,679,920,266,493,451,402,209,907,200,864,796,
222,913,131,336,016,358,444,843,625,701,411,495,507,667,936,286,724,438,448,
786,771,135,319,160,141,006,099,573,135,205,430,115,966,669,652,279,583,642,
710,209,560,351,873,620,713,217,434,137,951,284,412,196,524,476,834,106,693,
406,912,798,394,043,760,123,181,795,982,836,211,649,371,699,341,595,803,612,
362,175,469,631,195,481,275,280,201,001,698,926,282,785,396,213,692,680,923,
537,625,620,827,063,178,115,312,608,144,212,200,219,344,045,755,551,703,384,
437,596,136,063,323,741,751,071,987,455,997,669,032,254,218,854,294,460,006,
518,620,927,651,259,671,113,852,581,273,733,586,037,733,160,006,037,279,553,
711,915,536,243,191,223,413,115,230,297,907,322,391,183,508,343,495,607,769,
427,863,935,762,756,245,546,088,517,176,386,511,985,026,524,638,143,457,735,
745,063,395,523,380,730,175,020,557,460,982,471,051,677,405,228,586,635,742,
455,694,637,561,225,258,805,107,820,981,604,158,491,378,831,261,987,209,036,
156,985,445,030,808,426,820,821,278,991,748,988,346,640,459,964,228,219,854,
239,348,441,852,838,905,399,817,430,083,367,854,360,340,096,169,544,990,622,
700,673,792,805,510,729,240,535,084,477,349,227,670,585,113,908,776,983,456,
174,740,612,980,203,677,286,400,608,079,598,131,321,774,802,861,513,029,579,
123,928,675,705,087,977,305,140,418,615,036,929,127,225,796,399,032,947,678,
039,286,139,164,854,540,163,343,445,873,470,988,993,162,653,032,295,949,588,
151,019,339,367,509,787,786,961,841,439,208,580,716,561,637,608,669,957,712,
647,655,211,187,006,574,421,787,437,107,965,237,189,268,080,564,519,734,106,
626,862,318,780,210,154,636,476,634,481,835,708,840,550,841,749,305,819,181,
390,090,309,741,940,279,930,667,448,908,275,420,182,185,595,190,749,080,504,
939,857,468,850,191,747,238,022,399,581,668,526,788,195,988,011,258,058,465,
628,746,798,609,429,876,682,911,429,561,989,191,100,236,270,915,378,761,812,
043,265,197,514,341,350,002,004,838,319,274,746,353,974,337,154,695,603,687,
961,311,253,572,181,871,581,057,960,625,224,725,193,873,198,021,177,235,761,
953,824,818,599,282,380,663,629,133,657,955,739,878,261,887,897,654,545,081,
401,580,382,198,809,451,915,811,026,971,360,512,859,236,095,515,428,208,543,
834,780,968,423,289,919,559,868,821,829,120,118,602,877,273,601,412,229,462,
689,065,659,258,940,627,323,118,091,439,617,218,854,607,785,351,051,026,899,
664,830,642,885,092,601,104,623,053,692,257,461,068,309,297,714,756,270,898,
267,108,825,029,553,036,501,563,627,264,094,818,638,965,895,778,819,444,008,
291,666,938,488,294,925,965,864,696,219,564,996,747,789,320,817,254,579,973,
270,744,343,184,896,332,724,894,631,965,609,110,907,194,366,911,545,821,023,
953,498,190,483,191,125,799,307,283,749,684,759,902,368,244,982,851,964,988,
609,657,076,771,433,449,575,765,873,383,649,911,909,317,292,709,452,890,479,
518,518,171,056,481,505,057,861,004,878,478,640,945,231,944,569,141,668,474,
753,991,474,229,243,983,608,019,301,351,958,296,372,564,804,488,384,771,936,
759,806,694,001,282,414,131,905,011,576,873,499,673,425,103,986,442,521,563,
170,882,573,860,011,445,373,393,004,975,218,210,015,731,608,111,529,766,190,
612,836,395,288,166,618,611,956,595,508,352,213,943,044,605,796,992,984,179,
241,079,703,692,029,648,387,409,474,161,709,273,237,687,728,746,905,321,404,
272,239,166,132,127,632,824,034,035,732,609,950,824,281,783,339,863,991,598,
110,272,481,257,231,412,707,971,656,103,091,365,236,294,472,872,350,347,587,
889,213,356,561,827,977,636,672,396,110,022,110,401,255,897,887,830,335,424,
423,600,400,016,792,301,473,830,539,017,002,034,768,165,406,883,676,798,985,
536,612,730,856,268,411,412,660,642,921,935,764,475,134,156,075,756,556,871,
289,502,648,021,545,653,877,354,239,323,941,854,635,226,014,339,880,508,076,
210,659,820,766,438,915,308,744,546,446,751,315,362,482,129,505,999,064,762,
752,648,034,887,355,888,284,014,894,922,508,971,512,536,201,334,608,453,541,
877,135,741,606,975,212,149,996,812,413,134,717,511,602,078,861,156,111,267,
026,037,977,097,715,512,501,859,547,477,202,354,263,366,747,035,406,442,700,
069,492,574,866,952,517,224,968,636,098,027,385,689,564,543,167,163,057,321,
718,808,691,376,820,682,734,967,007,495,764,448,398,976,367,664,395,324,349,
772,963,984,118,832,053,354,071,627,189,039,764,415,625,736,536,080,203,995,
423,905,034,361,457,451,339,851,154,449,577,411,207,776,355,866,254,038,710,
563,752,866,964,368,439,764,394,410,373,613,875,788,152,524,876,491,468,258,
571,184,681,210,321,313,785,655,919,185,579,557,658,358,594,724,629,746,357,
053,533,036,472,948,859,939,316,968,244,946,847,161,533,991,437,142,614,505,
152,831,735,286,155,507,137,865,358,677,885,846,094,350,203,857,174,846,840,
772,612,749,898,328,231,343,053,016,562,117,678,573,233,355,814,845,485,192,
681,779,262,897,810,352,142,064,539,136,881,214,722,375,593,149,161,873,197,
623,639,290,735,591,964,928,119,975,859,901,477,713,707,270,320,381,143,074,
254,798,432,814,128,992,383,324,804,194,547,472,381,019,208,647,051,771,593,
564,371,272,373,010,854,708,435,123,603,434,155,360,349,251,940,649,508,332,
449,507,335,183,570,054,644,967,042,697,459,272,917,868,612,109,082,268,039,
485,174,607,696,125,731,840,683,488,952,603,705,868,071,416,024,324,230,794,
162,073,155,753,014,602,560,487,417,282,538,482,151,491,025,620,319,495,217,
081,839,510,202,696,188,967,719,632,159,309,433,571,252,560,172,155,802,419,
006,851,953,385,265,382,096,998,465,654,009,543,870,833,984,635,638,686,708,
733,583,157,821,461,278,890,848,720,286,706,653,981,679,967,380,232,871,015,
365,434,117,249,812,286,467,110,520,452,217,098,911,808,574,468,289,382,400,
134,738,000,743,289,758,718,636,483,677,036,627,064,042,956,883,193,073,469,
443,189,122,132,979,138,672,487,824,389,896,231,717,876,458,267,864,657,646,
924,592,244,670,346,649,591,742,630,055,393,989,907,613,038,358,390,952,848,
240,050,643,495,534,762,546,755,535,230,305,526,844,106,382,170,259,947,376,
822,928,247,228,495,179,009,435,392,218,375,175,661,701,195,080,514,372,147,
699,845,596,322,292,620,954,171,194,576,632,173,761,198,854,903,835,771,652,
052,702,608,734,127,269,111,949,238,014,118,916,160,323,532,671,664,688,359,
109,485,533,301,862,656,437,832,725,787,604,047,937,096,828,560,126,149,994,
569,743,292,893,870,303,350,064,585,500,240,483,833,754,017,499,082,106,741,
437,307,621,218,757,107,643,762,305,701,788,669,584,028,640,907,796,953,178,
159,558,161,538,612,888,484,064,844,176,952,528,798,222,658,634,374,780,784,
817,798,355,356,047,495,875,437,055,723,373,438,661,778,841,281,346,144,665,
464,163,498,688,379,314,633,819,868,240,910,326,247,889,194,341,871,172,034,
233,685,617,237,652,727,684,176,723,615,791,727,120,298,091,310,942,118,431,
896,832,847,832,399,193,999,237,227,540,224,248,087,249,609,686,089,381,584,
401,086,021,583,117,052,959,129,288,719,320,341,170,990,692,328,201,692,669,
671,402,175,785,747,852,288,968,688,054,692,233,562,266,883,211,636,732,185,
015,610,349,684,034,040,755,557,275,535,224,213,036,326,010,179,632,498,215,
555,616,951,671,128,473,876,750,206,684,643,342,432,508,634,387,737,241,495,
023,674,015,453,173,634,960,073,201,228,429,799,794,404,587,886,941,992,033,
732,303,707,359,209,814,557,783,288,179,588,470,444,313,324,954,363,157,938,
428,936,962,205,991,758,468,954,305,029,548,615,218,948,098,414,611,066,982,
752,967,073,297,225,973,467,238,173,605,280,971,597,229,639,043,753,411,309,
970,699,913,664,894,581,636,210,609,866,329,566,317,649,344,948,988,938,074,
235,607,559,678,398,710,936,064,192,597,859,940,401,869,476,271,119,714,353,
219,172,545,873,060,812,563,561,536,527,230,249,184,027,117,494,943,126,049,
633,011,804,848,303,629,720,400,769,461,094,993,828,986,029,191,173,837,292,
756,144,729,389,021,251,523,509,652,098,950,141,711,441,692,857,685,133,608,
089,364,484,189,601,498,280,405,989,524,892,289,023,278,849,909,458,992,451,
100,003,959,757,917,966,583,618,833,898,694,170,521,946,231,129,245,740,810,
666,284,231,271,477,928,756,771,666,156,965,027,251,902,826,291,359,414,016,
752,640,345,516,222,212,305,246,972,759,446,543,039,949,593,469,957,242,724,
565,322,376,544,474,040,752,086,415,729,838,210,750,006,570,075,332,612,808,
147,999,740,249,142,799,162,321,004,379,091,931,591,324,266,617,024,514,271,
099,032,757,762,890,132,160,952,909,386,879,159,057,241,808,138,569,966,811,
670,018,303,661,466,527,007,504,140,527,198,984,750,016,281,957,289,032,499,
453,926,475,442,024,547,908,992,033,274,575,410,396,702,264,098,911,883,954,
450,888,141,928,727,840,848,161,499,749,503,118,774,435,550,901,914,502,728,
985,056,230,831,928,083,796,685,046,426,028,268,836,158,268,550,050,769,367,
815,869,585,349,828,903,769,438,684,184,528,974,600,357,845,036,490,906,230,
131,701,236,741,699,451,917,582,530,755,678,721,707,950,740,525,312,887,817,
625,222,687,174,651,090,632,360,197,825,262,505,547,616,618,263,319,270,865,
333,333,361,676,762,077,772,090,771,771,500,192,658,177,614,170,379,621,555,
329,615,388,847,245,827,081,778,832,634,654,544,207,124,717,166,819,513,531,
466,549,098,483,505,193,074,516,395,905,338,519,660,377,441,341,103,564,425,
822,823,553,520,173,199,488,068,761,932,679,335,313,906,430,721,439,313,899,
822,299,993,991,481,548,385,104,614,890,765,377,593,107,380,260,395,817,035,
879,887,944,078,666,629,546,324,358,541,866,967,388,392,256,239,835,416,005,
501,028,909,710,909,185,935,276,140,600,626,861,428,964,734,807,504,137,731,
394,486,023,792,419,728,160,802,445,397,414,950,437,895,423,093,993,740,593,
770,384,842,528,034,284,201,111,366,134,505,562,184,326,924,043,228,874,651,
697,733,423,341,668,306,438,788,487,694,539,650,394,456,249,556,109,538,653,
885,324,071,837,675,025,948,404,331,208,863,701,295,569,390,713,452,914,778,
391,683,663,411,046,534,287,507,328,977,280,623,828,338,135,243,449,063,927,
326,917,389,900,479,179,584,336,281,281,728,125,309,351,720,368,559,405,415,
726,888,026,909,616,017,911,215,617,596,038,260,094,730,736,967,593,176,597,
706,517,816,051,594,815,973,287,672,046,292,333,856,905,870,689,144,388,263,
941,793,629,857,128,651,561,107,125,833,319,775,912,706,635,895,060,504,643,
952,674,438,677,658,527,561,911,753,041,904,952,480,276,553,723,390,884,882,
616,381,461,728,149,389,039,537,439,364,547,172,760,090,168,994,338,630,429,
104,860,788,227,592,290,613,576,172,381,728,111,742,742,765,732,634,963,066,
828,947,476,676,502,452,658,642,114,166,219,734,064,321,451,898,222,182,049,
902,320,100,487,987,552,977,444,361,309,723,721,235,283,077,496,586,364,980,
088,901,594,253,580,452,361,048,101,425,733,619,286,095,022,850,149,063,465,
843,759,163,410,948,182,536,940,595,893,366,262,676,229,974,040,993,316,960,
062,034,711,389,417,372,642,730,417,012,070,041,383,921,776,295,873,775,718,
464,116,942,329,992,923,239,105,587,983,544,272,637,109,798,999,687,536,916,
745,959,229,569,228,576,114,839,780,745,139,199,787,910,545,628,399,612,647,
772,777,280,364,379,794,788,837,703,887,016,159,404,738,132,204,150,582,803,
396,154,264,139,830,372,420,604,605,365,461,971,391,224,156,392,321,543,746,
160,816,114,971,890,528,845,795,940,739,702,554,845,553,194,776,897,044,795,
972,433,304,805,894,370,839,013,142,978,670,414,736,222,483,564,044,972,386,
670,887,716,806,012,617,489,298,101,404,385,315,147,518,697,545,920,162,331,
040,514,638,703,631,715,095,714,980,990,997,890,222,268,123,013,381,514,940,
034,144,941,100,569,630,336,144,960,562,499,065,404,071,728,679,171,782,478,
745,357,453,692,644,677,848,716,369,035,356,342,996,353,394,638,348,709,427,
367,813,192,182,573,069,935,822,813,098,545,808,245,718,896,333,129,227,179,
460,201,394,986,704,394,657,603,818,129,682,222,421,203,503,818,453,233,698,
311,695,578,768,129,331,383,716,135,742,037,714,749,115,234,372,843,552,098,
059,145,308,029,629,923,677,765,383,664,107,240,984,069,768,821,138,073,741,
272,359,140,863,941,271,325,644,836,662,821,712,514,099,327,966,832,084,386,
386,912,177,963,794,547,015,760,748,339,046,129,993,942,772,367,872,707,045,
038,013,067,575,040,246,346,720,127,779,247,143,671,548,828,794,825,700,214,
934,692,663,967,710,667,695,781,921,253,696,997,147,474,116,459,090,540,233,
874,480,836,653,740,453,873,221,190,727,786,356,832,256,735,901,295,882,159,
329,679,527,434,458,039,959,576,763,519,289,214,220,347,883,221,273,610,225,
755,890,143,526,670,996,656,313,547,917,993,893,347,312,654,445,543,058,469,
491,312,451,085,107,213,139,850,106,554,790,673,480,440,086,845,457,754,609,
674,950,740,208,906,965,268,023,543,406,836,473,941,779,942,360,817,470,944,
026,808,405,965,099,611,636,354,210,970,811,196,595,352,702,535,769,484,782,
044,444,464,054,490,364,583,974,754,490,781,708,945,525,696,736,802,937,098,
127,332,293,566,533,565,085,947,219,074,495,870,459,962,037,277,604,587,526,
673,653,651,677,458,756,030,951,795,427,798,318,581,616,905,291,166,113,120,
718,504,825,481,226,309,766,498,551,632,387,246,596,400,718,507,484,520,210,
401,885,138,438,691,590,525,804,367,977,401,363,599,838,790,511,776,474,198,
055,654,760,823,365,844,806,301,313,100,336,828,170,927,151,448,661,222,648,
899,761,063,566,515,791,676,840,617,069,546,025,044,652,657,942,211,545,394,
139,436,189,572,202,950,777,182,377,177,348,165,156,668,375,371,167,232,724,
541,459,171,142,895,429,864,497,371,295,104,089,442,979,761,647,861,542,343,
710,181,103,459,327,816,972,951,756,290,565,990,795,570,650,317,544,718,870,
977,759,329,692,355,643,940,621,242,847,638,180,673,865,912,219,320,382,072,
111,195,087,242,219,179,976,625,761,924,760,874,289,518,963,634,809,718,226,
218,600,941,118,002,825,057,150,939,240,451,884,551,752,454,993,850,690,120,
376,322,807,612,589,642,262,595,221,097,612,691,655,198,507,713,873,761,431,
222,021,620,715,566,580,463,547,751,615,448,954,211,014,198,445,519,182,635,
588,249,799,711,839,524,731,282,334,748,680,995,603,212,334,019,230,341,061,
805,069,168,023,414,940,150,539,359,169,555,323,242,592,896,035,060,877,891,
991,495,372,135,434,031,993,901,195,324,843,232,221,846,509,793,904,186,679,
306,604,176,636,150,310,267,964,816,563,943,213,824,677,347,404,333,474,907,
107,858,844,726,633,595,470,650,691,026,947,259,937,446,676,880,185,571,077,
469,107,937,388,027,444,088,726,706,021,118,760,847,017,099,768,963,465,969,
751,224,478,784,335,292,764,920,669,003,024,948,644,269,201,501,930,784,409,
169,633,777,050,682,620,571,528,643,197,891,265,498,830,416,310,707,052,710,
719,336,949,201,943,611,459,371,170,428,641,503,707,957,993,199,652,931,908,
838,830,088,226,172,694,259,424,615,063,165,949,978,986,153,199,483,658,484,
659,217,841,237,521,449,850,025,302,069,255,371,392,034,442,897,771,908,053,
418,824,790,998,792,634,353,438,812,219,376,131,736,387,587,952,425,287,829,
070,675,418,523,487,340,370,982,634,326,529,731,802,179,463,052,040,709,363,
786,856,775,579,420,902,835,595,175,331,859,579,459,959,673,077,406,112,988,
397,750,496,256,434,181,078,071,544,533,362,357,937,717,095,681,027,342,871,
931,463,179,366,464,420,605,189,433,064,811,127,256,755,849,803,488,364,848,
414,119,996,391,474,289,126,619,944,198,928,143,616,284,751,482,067,946,212,
546,761,347,253,294,309,605,102,297,107,130,152,520,545,218,473,277,275,807,
492,830,400,539,143,489,708,473,775,092,205,129,008,970,212,499,606,839,985,
474,163,400,105,481,190,525,924,734,678,521,874,575,376,008,264,743,967,693,
497,810,771,156,137,328,581,233,194,556,306,486,729,824,101,128,095,851,688,
401,075,659,852,390,349,328,292,227,573,951,374,544,344,988,743,173,084,664,
959,972,987,958,677,091,606,875,080,092,066,613,649,178,459,181,783,669,213,
238,455,468,486,131,769,879,352,637,638,613,404,366,330,001,413,546,064,506,
143,785,732,629,398,859,496,159,219,224,793,003,973,794,973,716,406,538,383,
329,611,702,278,971,509,145,547,121,609,225,405,070,779,774,698,312,594,508,
685,828,127,382,799,504,160,509,459,726,801,786,706,841,274,112,559,825,693,
991,187,739,265,209,253,940,198,890,357,511,204,551,970,718,278,076,880,714,
178,980,039,674,372,938,300,577,928,516,406,621,261,374,626,798,105,680,757,
280,790,707,632,299,998,053,308,282,514,003,220,266,544,614,435,597,237,968,
963,294,580,683,588,394,426,521,818,498,821,612,866,014,263,737,621,507,451,
689,630,001,969,442,826,472,531,001,890,857,243,913,821,756,555,485,727,005,
240,016,026,188,490,073,054,182,434,872,888,109,716,659,768,060,477,059,356,
305,702,776,734,478,320,058,654,973,736,749,945,350,208,323,099,483,159,161,
262,759,312,409,602,631,024,906,572,977,281,521,271,780,529,557,950,933,437,
980,568,682,073,945,372,209,150,071,433,287,759,708,431,193,015,813,130,575,
995,104,703,277,739,867,341,750,755,185,475,977,516,056,508,301,857,417,408,
252,602,502,609,903,222,514,671,134,273,426,823,035,319,212,228,132,561,499,
347,650,075,154,729,884,180,538,817,016,144,022,157,648,758,083,308,329,843,
686,047,034,542,917,273,707,216,962,588,219,472,668,742,481,206,554,574,469,
617,698,925,814,437,562,116,417,073,886,640,317,525,671,307,242,568,162,306,
426,368,878,245,915,803,044,775,061,645,362,480,880,338,973,073,336,125,985,
518,266,262,061,557,166,890,248,097,182,118,308,401,326,243,420,794,498,725,
944,464,673,203,452,086,453,687,252,543,179,614,509,123,632,286,652,633,416,
914,491,544,012,411,779,427,732,080,965,214,149,464,267,067,677,428,626,571,
090,441,607,276,597,701,567,654,928,968,011,903,133,944,512,233,715,168,241,
541,884,348,973,696,539,783,189,778,982,240,064,728,713,984,882,169,710,202,
818,310,233,922,408,303,939,019,904,539,979,359,310,998,774,376,138,481,678,
106,693,274,463,546,476,498,664,078,753,613,094,255,110,193,870,863,073,884,
853,922,668,445,265,986,299,924,050,169,428,359,777,123,609,939,972,009,538,
343,861,628,213,018,368,263,221,311,579,080,752,225,609,209,177,399,244,031,
338,315,692,547,221,666,024,065,335,531,597,014,926,456,145,464,070,542,022,
955,976,419,891,494,220,390,928,733,270,795,271,412,963,365,633,441,976,964,
858,111,806,277,960,599,766,380,525,350,153,413,475,427,712,921,393,451,068,
371,454,816,584,078,358,402,719,965,982,104,515,235,194,562,542,856,245,687,
427,508,139,769,478,823,013,655,340,278,013,865,538,674,175,503,763,641,268,
968,782,923,911,661,470,949,952,871,837,686,555,719,201,310,967,068,394,031,
463,939,994,691,500,142,794,744,353,000,360,777,221,762,757,225,824,512,823,
584,766,128,248,841,894,775,037,052,907,339,957,887,389,687,981,854,774,913,
276,227,246,856,050,589,264,432,721,757,769,139,867,659,006,268,602,182,181,
095,094,624,410,199,439,805,826,920,663,254,547,564,600,041,655,870,459,834,
353,721,733,304,476,347,738,988,372,557,691,176,268,193,383,832,939,549,181,
495,646,365,814,208,792,063,613,472,426,842,428,361,549,335,265,506,934,835,
686,573,283,212,673,542,915,377,672,777,483,287,316,688,469,503,263,382,260,
391,230,451,977,153,900,394,361,642,857,021,263,163,861,548,519,076,777,798,
739,311,747,422,911,199,914,845,831,442,618,081,209,800,831,381,848,622,679,
512,972,500,691,238,757,792,372,672,758,856,081,986,953,504,566,274,209,417,
428,449,672,411,622,637,682,514,726,632,589,964,821,932,263,924,332,712,753,
186,623,792,447,742,526,862,796,833,836,188,148,744,526,599,562,255,107,784,
520,317,624,551,003,044,728,528,037,726,612,728,237,270,083,340,163,982,070,
891,939,214,041,065,002,618,633,742,370,311,726,057,976,874,036,661,365,752,
131,591,312,216,740,382,208,741,956,949,783,445,081,656,920,510,661,578,356,
517,784,307,926,173,045,631,582,104,091,079,438,510,177,892,087,783,889,195,
475,949,855,460,418,360,077,821,966,982,760,789,331,111,615,340,427,362,118,
871,423,378,089,255,215,718,155,413,182,922,834,112,641,356,364,437,950,860,
861,273,715,112,802,676,845,706,328,422,959,593,454,353,454,002,765,055,538,
573,892,140,934,843,597,905,727,511,693,918,968,450,781,535,926,045,786,896,
307,210,166,557,757,962,163,456,251,230,653,393,008,390,148,783,347,737,380,
513,108,643,400,678,354,477,731,860,586,285,734,235,035,834,718,726,881,808,
501,529,269,896,644,197,574,362,256,940,169,934,222,748,315,613,685,018,108,
699,861,020,461,718,447,070,456,684,432,111,302,274,938,162,070,724,867,357,
203,260,439,351,182,784,966,557,833,124,131,522,134,001,770,154,614,758,646,
498,718,810,609,680,859,280,582,524,087,738,540,784,281,626,637,360,605,172,
409,260,589,624,909,892,627,031,691,809,311,654,344,216,385,606,330,334,136,
969,931,082,605,770,310,844,199,581,055,803,145,655,862,926,790,586,241,131,
088,826,006,461,874,612,248,652,527,745,676,149,875,583,156,801,227,866,157,
576,819,054,696,426,232,079,808,062,714,567,781,247,123,160,052,193,984,554,
248,176,446,658,872,365,861,005,827,340,103,547,288,405,700,155,263,117,388,
202,404,288,015,363,303,879,328,883,592,196,121,607,437,149,308,443,021,195,
689,018,561,033,119,804,519,430,757,630,757,423,203,021,577,062,470,555,232,
401,333,197,371,636,778,710,619,089,273,050,879,146,839,566,448,469,416,893,
652,825,159,711,586,351,337,027,580,916,299,674,120,892,051,155,799,946,553,
616,160,268,446,236,946,462,542,069,540,431,684,786,499,672,843,606,538,510,
570,061,501,815,309,244,953,477,437,630,202,689,721,130,634,151,755,028,698,
912,867,418,202,423,170,494,356,030,941,048,806,799,758,635,751,077,973,280,
152,300,550,478,168,796,205,700,560,810,565,373,115,297,777,069,639,588,676,
158,886,104,918,675,791,936,701,267,828,794,393,480,138,720,993,534,249,711,
561,252,310,509,743,887,908,580,643,709,375,041,739,993,936,279,072,993,734,
730,776,032,958,714,035,708,659,251,049,043,609,843,865,386,271,764,741,565,
758,194,784,501,273,165,555,995,652,050,830,900,729,288,122,304,473,923,338,
905,523,773,819,404,421,288,727,933,710,023,637,774,446,886,512,758,587,849,
128,154,460,999,251,890,224,368,199,312,946,529,366,370,082,216,224,142,829,
369,990,128,740,984,765,127,503,937,829,933,529,882,945,930,185,844,045,820,
959,452,752,319,707,732,023,535,620,910,977,001,479,715,211,389,141,290,366,
970,582,793,428,836,195,651,690,794,523,765,420,279,196,968,848,072,926,633,
183,259,004,118,757,729,729,914,811,646,465,056,275,628,053,506,251,223,910,
782,951,661,617,453,334,926,306,469,934,106,746,890,324,555,403,731,727,659,
455,857,785,745,644,248,109,933,455,768,257,449,710,174,189,823,151,178,780,
631,231,614,144,992,780,486,186,146,809,730,407,856,117,931,446,758,183,484,
064,367,631,516,799,466,154,774,810,322,243,305,029,719,702,272,860,806,855,
417,093,955,260,003,235,561,772,883,808,437,526,038,381,938,813,418,088,243,
089,361,037,389,742,705,763,976,336,755,592,046,498,891,640,263,263,682,287,
691,648,843,067,817,193,034,136,039,540,292,768,925,774,161,571,571,673,262,
225,432,676,401,674,609,667,211,472,429,892,524,914,993,082,864,641,765,655,
290,984,614,818,556,764,837,267,758,601,998,015,321,625,704,208,878,845,247,
881,923,887,683,170,493,470,005,746,320,744,013,720,783,353,271,684,887,381,
857,065,204,202,929,753,983,779,753,659,970,997,615,604,017,349,161,445,081,
496,292,635,635,976,667,851,271,312,754,087,805,625,136,793,892,415,374,354,
628,982,743,502,554,214,321,320,256,879,728,645,628,155,184,708,859,493,142,
139,130,376,858,399,679,362,161,589,087,576,816,427,740,097,304,552,755,128,
164,020,185,097,992,478,713,467,237,689,640,916,712,869,372,837,398,464,607,
065,200,796,054,337,253,498,773,902,741,325,207,951,536,071,290,250,499,478,
500,676,051,017,773,699,890,976,330,037,654,028,990,875,898,861,466,615,978,
628,759,134,991,197,140,816,255,373,674,946,340,208,262,630,487,027,161,064,
055,110,480,746,997,479,672,860,514,623,980,421,056,979,807,752,392,995,300,
592,039,204,028,193,969,981,259,340,014,013,711,611,637,431,343,834,815,110,
758,823,553,776,177,928,053,409,633,154,318,653,186,475,011,616,837,039,146,
656,911,461,625,737,499,346,761,599,264,812,587,982,043,412,364,361,612,110,
767,628,974,968,153,051,791,621,483,247,012,933,760,416,053,347,888,662,874,
075,971,414,580,194,412,213,871,616,741,982,797,774,717,430,128,963,260,334,
900,029,801,575,482,439,091,295,164,979,758,692,970,705,871,258,795,260,349,
932,060,640,458,739,584,856,789,939,383,721,353,194,097,474,618,704,285,325,
056,028,229,797,673,629,743,208,033,437,994,355,380,716,130,305,933,125,073,
324,354,816,754,715,449,173,966,049,165,605,235,151,437,157,590,172,310,269,
643,617,895,505,538,948,125,168,909,253,695,937,906,064,522,013,437,822,281,
212,412,619,165,449,243,653,370,122,792,842,841,034,835,810,871,670,767,302,
210,650,554,165,379,148,062,432,697,254,709,288,957,668,555,852,756,414,215,
413,898,488,915,130,993,932,850,796,284,292,566,715,214,441,424,412,897,510,
404,443,395,730,130,403,226,754,795,475,123,894,981,883,945,461,437,178,385,
090,092,606,255,494,627,664,999,866,574,240,684,486,497,551,543,565,060,554,
400,076,038,417,812,052,212,115,581,770,861,859,194,735,751,013,671,056,592,
128,994,874,686,134,872,570,998,092,454,589,398,135,462,107,761,832,694,396,
586,306,006,784,562,529,540,211,686,560,734,898,870,421,996,611,911,434,336,
577,360,299,520,732,157,647,671,046,819,371,581,200,887,695,077,114,427,154,
052,773,967,677,101,699,424,663,810,667,777,310,237,850,588,073,091,495,829,
305,019,563,283,313,630,205,898,310,364,240,522,595,358,341,953,721,060,746,
163,081,108,256,860,325,361,883,582,531,150,186,771,244,250,842,963,874,183,
609,826,372,428,943,910,384,251,574,899,753,910,764,312,739,250,765,511,698,
471,290,907,403,327,004,860,716,733,851,972,905,843,761,819,568,719,540,453,
479,498,425,308,528,123,233,618,611,072,785,608,475,447,266,497,603,807,597,
237,069,970,932,781,353,595,187,359,628,104,041,627,451,584,431,832,805,664,
997,835,587,233,584,872,144,300,944,467,036,492,591,920,777,954,070,916,578,
378,496,807,764,038,969,956,008,726,592,539,082,242,326,006,211,723,260,820,
496,487,884,175,321,464,059,706,450,663,034,341,337,486,721,537,015,762,515,
848,640,267,644,032,394,058,363,273,953,774,469,893,298,168,764,179,454,237,
252,621,178,574,210,608,554,396,803,164,413,722,865,377,570,297,098,555,678,
610,352,331,992,942,157,168,817,491,995,399,955,133,142,802,487,433,388,588,
225,795,311,285,191,637,723,894,342,171,923,372,115,525,955,279,876,537,757,
262,603,318,953,971,761,851,038,612,805,591,776,271,061,394,269,239,559,139,
287,905,691,487,704,352,961,483,601,777,585,081,206,714,670,259,946,963,026,
376,651,387,982,286,145,135,606,251,176,270,098,527,699,286,295,085,158,877,
804,148,543,054,131,854,661,308,793,172,902,100,090,514,580,326,566,601,264,
922,614,317,173,997,008,617,997,772,678,316,506,684,345,213,397,940,829,305,
126,499,303,349,182,922,162,367,891,621,025,247,317,126,074,316,485,378,763,
248,138,109,116,595,111,583,270,695,407,769,329,504,168,589,087,308,525,099,
168,813,471,870,902,317,292,470,129,181,861,831,689,285,463,417,004,939,603,
545,901,641,964,370,496,358,109,557,633,703,923,509,436,163,121,728,152,448,
263,158,292,168,492,160,805,416,319,674,006,159,300,878,312,109,867,666,563,
692,049,457,623,828,890,979,326,907,161,782,498,808,325,128,669,421,789,133,
385,150,869,414,972,550,626,088,255,736,392,871,761,218,860,618,880,276,086,
672,458,543,179,685,081,985,079,318,799,607,625,621,349,950,837,999,012,643,
300,359,399,907,444,723,968,098,404,256,366,902,303,274,573,849,806,052,604,
847,921,892,194,781,451,438,575,314,313,391,826,685,882,292,936,405,024,557,
635,602,341,749,387,314,867,241,552,366,733,996,958,475,033,972,472,693,545,
596,051,669,414,855,043,648,863,537,015,083,834,086,340,207,406,232,765,484,
186,175,946,582,687,561,714,176,084,938,204,070,901,799,360,323,517,860,517,
523,248,488,247,440,638,041,871,483,212,304,081,354,226,418,880,088,448,478,
162,880,113,808,154,055,509,129,862,440,831,893,209,000,813,920,220,419,706,
863,416,314,975,887,024,738,519,282,343,047,113,647,023,920,607,088,725,606,
439,755,747,993,316,029,043,923,474,568,600,189,712,829,696,435,503,513,407,
979,311,627,347,855,986,040,133,734,646,181,187,080,507,259,302,524,278,405,
362,499,840,304,830,633,749,653,394,016,112,863,538,650,764,860,457,833,551,
839,762,018,310,960,354,005,899,588,286,874,913,340,786,401,388,335,881,824,
543,287,853,507,661,349,503,868,469,713,120,351,932,052,010,903,039,088,252,
294,359,906,114,100,806,215,269,940,345,712,262,745,844,068,942,003,140,146,
910,798,834,427,821,253,290,774,633,932,826,883,903,772,590,456,650,653,083,
988,655,486,193,524,284,016,241,348,232,990,585,856,935,503,712,617,510,375,
664,937,309,179,201,315,550,047,657,016,692,784,071,308,780,012,086,073,749,
165,460,130,373,697,680,251,948,769,725,448,147,813,807,772,592,072,302,446,
874,182,902,970,399,713,695,762,602,597,669,311,926,323,213,525,762,239,738,
046,588,782,028,555,398,467,785,865,077,129,189,175,089,630,089,885,495,694,
098,442,485,560,393,003,945,263,461,829,028,335,451,919,157,109,409,632,991,
540,635,452,646,795,162,213,412,939,855,540,599,336,976,522,488,316,812,760,
431,751,554,421,459,005,709,657,539,132,471,357,288,829,893,902,874,600,857,
897,422,681,999,862,915,665,019,795,788,101,654,390,364,554,699,711,174,006,
630,219,727,908,522,494,806,057,058,958,387,747,056,865,408,668,399,868,297,
504,121,695,428,429,008,139,635,972,519,159,644,114,937,437,778,759,970,600,
961,636,908,046,455,099,104,822,629,475,625,689,853,405,487,454,265,801,598,
965,473,310,302,262,983,013,813,509,132,931,723,803,287,775,792,994,360,114,
849,283,993,153,685,810,953,527,041,500,907,763,011,181,518,564,942,075,181,
138,618,412,770,380,146,896,763,517,526,690,825,333,855,211,684,124,540,465,
317,277,097,080,490,148,101,014,697,230,737,747,990,335,359,161,610,184,036,
387,269,316,061,889,127,864,922,619,236,116,204,582,060,177,159,293,242,117,
022,840,731,662,094,430,463,689,380,210,505,050,343,788,580,941,496,417,730,
412,144,774,383,812,218,715,880,571,685,602,196,853,917,920,193,884,402,759,
742,136,918,850,007,801,245,046,463,675,256,135,832,715,526,170,554,847,633,
446,865,697,996,540,327,833,256,554,790,384,911,134,736,280,345,071,921,488,
686,578,164,172,287,453,150,729,001,882,012,479,116,568,369,299,894,136,776,
991,614,947,588,086,475,716,686,064,216,611,148,577,447,100,003,114,987,138,
185,126,087,093,514,687,123,259,615,249,460,069,608,217,104,947,546,026,002,
734,623,479,996,629,139,679,873,558,774,872,741,659,679,640,509,434,492,662,
687,118,708,386,182,525,504,424,309,844,604,973,192,996,743,853,507,442,886,
167,268,280,932,030,629,760,369,873,686,785,073,196,995,207,616,762,019,458,
300,059,308,777,938,509,490,034,603,558,860,281,368,326,456,806,055,888,023,
420,568,127,848,030,577,250,140,515,814,009,760,556,599,881,740,968,189,419,
170,929,565,258,621,436,847,836,002,760,386,316,198,292,949,616,530,836,720,
860,508,809,215,433,324,970,073,126,537,012,118,748,580,092,286,278,868,293,
347,644,726,455,317,034,537,329,994,936,984,108,195,229,396,868,328,212,265,
914,212,224,248,867,735,960,542,007,924,231,488,652,299,674,847,105,493,888,
573,619,712,991,739,181,093,584,348,350,323,291,364,487,885,956,031,384,458,
620,821,120,098,263,967,296,335,961,179,575,668,185,163,280,357,775,384,209,
313,063,453,634,869,178,183,063,149,599,740,831,906,363,535,831,493,838,827,
987,471,364,749,192,098,402,679,325,008,741,874,062,452,948,209,889,987,847,
660,009,787,921,055,744,358,547,153,465,497,805,436,059,457,120,388,294,666,
233,032,085,392,983,130,173,411,071,825,636,311,322,527,817,869,548,537,876,
850,725,144,162,085,984,441,824,128,716,233,981,318,214,200,705,728,259,944,
815,401,719,812,968,588,533,550,125,600,345,380,205,027,944,498,671,367,465,
069,600,851,279,409,010,021,728,633,455,906,539,126,326,702,889,463,873,020,
731,437,931,536,188,629,907,750,101,373,314,689,063,949,475,319,380,919,441,
587,425,662,963,528,110,162,089,308,236,331,712,512,765,324,086,049,114,410,
067,571,682,406,076,642,313,787,794,100,466,086,365,638,756,323,438,609,505,
058,344,662,194,279,648,292,037,160,865,934,689,943,092,516,775,690,670,848,
914,243,788,364,352,204,038,751,462,255,006,993,502,358,437,481,540,486,169,
312,285,272,898,464,314,009,605,047,673,125,080,834,908,650,227,410,515,377,
609,151,615,460,096,755,883,305,889,034,803,260,364,762,034,949,033,119,354,
190,415,368,470,109,311,005,176,617,590,390,921,469,015,871,951,689,515,409,
386,128,641,961,879,658,274,868,234,286,207,756,239,704,243,395,227,918,973,
424,386,246,010,685,208,015,497,083,065,692,268,247,496,053,036,427,946,908,
761,595,147,549,631,349,274,119,170,563,447,147,368,221,778,652,759,656,316,
611,999,730,560,064,857,202,545,189,687,166,071,036,005,832,120,879,523,109,
096,470,619,232,001,895,903,333,964,649,078,973,164,074,555,033,812,283,333,
044,932,059,052,452,504,815,896,608,125,544,551,204,251,799,321,065,141,153,
155,978,102,561,907,224,413,610,599,341,849,586,546,375,675,843,417,765,982,
203,532,898,023,267,259,656,504,493,804,152,871,075,311,540,542,897,427,384,
817,017,275,204,015,691,580,627,040,278,870,847,683,300,611,246,782,281,776,
548,729,599,969,734,801,601,216,780,244,043,748,416,913,135,901,976,940,315,
970,855,432,178,080,004,502,305,959,460,670,167,782,509,097,556,170,336,142,
638,756,643,851,526,999,363,345,971,502,063,194,089,330,876,237,447,949,267,
426,315,870,590,790,768,612,239,622,520,646,961,653,611,253,294,115,138,090,
036,902,526,830,825,323,675,414,009,657,574,765,297,267,034,902,617,964,075,
392,325,653,821,084,538,192,679,049,986,917,353,749,993,801,424,740,612,618,
496,093,617,654,588,434,854,112,207,482,111,756,758,882,534,362,325,790,403,
796,384,992,627,171,137,318,753,350,333,252,566,416,804,643,158,659,335,619,
781,178,821,922,124,971,882,139,541,357,771,764,986,910,554,518,011,591,517,
711,070,271,130,230,091,070,766,320,175,217,113,812,659,342,564,574,930,486,
232,664,595,956,153,811,113,425,823,756,934,364,810,626,500,609,045,887,460,
772,754,055,779,710,964,512,695,083,057,093,509,489,909,287,751,962,123,033,
266,698,091,619,649,130,267,445,245,677,232,718,372,900,690,069,869,742,771,
150,370,597,270,109,219,875,184,550,804,243,925,899,707,346,430,700,361,774,
020,958,509,545,316,904,755,870,683,128,049,587,679,578,929,407,095,696,408,
546,768,193,807,013,768,921,300,681,273,979,400,575,726,251,436,469,944,954,
648,430,416,907,177,052,088,145,416,729,471,348,120,561,528,319,448,828,726,
681,198,899,733,520,140,016,846,379,963,341,474,194,333,369,424,547,275,254,
966,130,163,436,748,083,356,458,706,748,071,728,772,306,362,805,686,882,486,
662,326,445,059,498,614,584,231,136,501,204,242,848,148,678,368,934,321,951,
429,459,851,209,234,448,088,897,952,220,378,869,226,978,294,629,673,702,805,
492,786,035,757,393,081,311,827,591,724,129,170,983,393,033,343,632,186,637,
986,427,859,699,456,497,003,321,273,588,423,553,595,639,313,316,618,457,782,
422,750,597,124,618,161,304,581,625,838,609,707,452,859,406,956,061,101,120,
551,838,575,789,389,168,276,218,980,579,679,680,593,682,641,786,000,610,946,
891,845,831,227,321,026,741,851,073,409,500,890,615,017,040,010,319,630,067,
665,097,886,825,136,203,482,095,668,745,176,422,030,987,287,525,987,977,847,
137,480,832,200,821,466,435,405,159,963,239,195,604,704,527,006,140,663,292,
363,783,379,935,819,022,535,291,981,273,435,452,094,574,918,282,089,958,066,
834,964,032,321,619,805,026,417,789,399,121,439,100,291,613,239,275,547,006,
819,773,502,430,083,711,562,193,768,571,385,768,202,691,326,679,740,055,485,
565,318,695,320,723,999,100,367,518,589,321,930,100,877,270,083,304,932,682,
661,525,763,952,186,407,688,640,459,052,849,495,849,595,357,245,954,019,940,
450,398,617,231,758,658,667,068,240,212,672,267,700,458,462,094,689,558,617,
316,221,130,022,201,711,965,550,808,614,075,804,888,589,456,016,715,464,850,
556,981,536,782,663,754,981,148,738,098,137,681,919,724,872,344,191,604,526,
625,612,309,518,696,187,172,395,690,204,278,927,179,690,944,315,032,106,375,
056,564,304,909,737,153,888,167,334,109,784,728,629,305,855,433,455,307,963,
499,499,967,223,159,418,299,242,293,899,183,631,851,056,393,967,091,119,046,
552,128,972,372,715,769,212,515,253,103,048,531,276,436,088,654,956,964,512,
941,144,034,728,977,045,929,235,066,029,636,335,236,647,813,753,233,411,213,
807,432,605,746,158,237,804,949,349,592,509,971,229,331,917,930,415,845,900,
751,469,574,628,359,318,551,509,881,074,215,247,939,771,303,226,238,288,777,
047,872,553,029,990,521,548,626,723,835,286,599,587,046,284,238,359,987,219,
442,290,658,070,286,858,803,892,740,993,812,259,747,631,791,786,099,041,211,
210,993,908,639,330,770,054,965,904,025,200,335,567,496,417,998,445,229,642,
946,836,315,583,054,382,050,587,163,588,409,183,139,317,182,957,842,264,849,
571,715,736,641,915,495,261,711,500,909,036,873,605,497,728,736,576,358,631,
545,993,050,938,552,327,529,012,174,340,917,354,313,988,279,875,934,110,894,
283,732,514,323,900,301,262,954,849,497,706,998,346,285,059,381,428,575,621,
006,970,950,793,363,328,856,246,472,904,981,410,511,141,995,255,241,460,638,
855,736,553,448,423,695,761,501,613,981,891,636,570,391,348,094,961,070,421,
684,541,895,916,479,047,661,560,548,390,303,370,715,136,925,185,202,235,828,
561,068,298,922,073,285,979,106,729,572,002,615,775,890,029,360,403,451,394,
117,413,552,409,899,159,074,842,320,595,510,691,258,191,145,844,117,201,212,
679,610,132,530,757,021,162,743,414,894,738,279,201,830,629,107,377,842,197,
304,449,605,961,626,653,271,083,830,192,180,586,477,568,434,130,453,009,162,
611,240,566,181,223,055,867,118,359,304,507,500,007,597,123,316,938,586,323,
469,249,701,234,175,973,489,046,716,201,599,860,277,453,191,441,935,735,804,
176,646,015,815,016,999,064,189,857,814,177,365,025,060,398,968,253,746,888,
431,199,363,107,045,853,849,142,115,808,057,637,225,227,560,482,112,884,357,
011,537,919,924,044,692,573,581,100,923,396,600,169,302,538,512,742,564,891,
194,049,394,405,418,205,404,002,131,892,584,927,677,627,539,275,253,073,376,
391,922,732,729,173,395,842,015,749,839,053,404,253,943,931,504,602,741,936,
623,709,684,058,628,630,949,084,888,471,327,018,905,147,649,155,345,979,129,
698,125,112,099,291,843,671,983,694,088,184,576,441,162,370,577,550,584,370,
883,262,556,660,060,926,625,455,123,648,487,707,495,613,159,815,987,905,384,
735,301,112,041,080,774,868,439,220,709,121,975,630,915,565,289,001,510,085,
757,570,956,089,882,191,555,173,524,171,015,406,062,074,622,524,171,971,958,
938,364,082,159,339,955,866,986,669,999,967,827,203,318,444,529,017,649,349,
919,140,356,298,845,261,670,138,927,453,161,119,791,739,998,576,616,224,010,
760,883,080,445,654,705,112,308,013,671,644,817,355,984,655,351,336,156,093,
282,473,903,855,912,369,339,824,058,492,832,972,821,413,690,049,509,692,988,
789,222,794,400,286,808,588,578,483,123,839,654,707,636,525,788,150,097,348,
113,485,147,825,377,209,585,072,469,324,670,842,022,857,868,565,788,028,569,
876,167,994,935,801,517,948,826,164,865,238,151,288,868,683,518,968,279,764,
140,980,118,651,296,010,560,927,952,820,402,191,301,840,512,007,142,689,444,
296,973,510,782,301,687,495,468,285,697,133,971,651,230,124,474,476,568,578,
338,022,376,611,214,315,324,911,254,841,704,606,568,827,031,566,639,048,633,
066,564,254,232,674,078,861,149,910,061,785,691,346,536,056,847,586,786,604,
040,089,672,527,364,717,747,452,839,638,779,469,962,393,676,074,841,647,797,
493,118,623,641,743,030,436,988,429,891,194,465,750,714,881,082,104,547,499,
947,280,985,851,785,672,624,613,892,183,261,554,328,784,500,618,871,425,225,
851,519,841,694,664,206,830,009,813,194,462,313,834,990,408,819,314,858,128,
207,174,831,836,929,591,347,542,113,779,321,316,873,925,127,809,433,451,192,
272,136,113,095,165,964,878,546,139,871,577,603,017,051,250,989,708,514,902,
452,307,126,061,644,386,976,999,256,946,504,068,959,228,252,167,419,299,653,
606,830,344,270,576,982,977,751,339,161,938,357,737,660,066,142,298,712,348,
440,811,588,154,975,459,744,000,962,916,149,249,249,111,571,688,240,883,842,
650,709,838,295,420,250,115,236,254,848,782,322,057,805,828,681,241,310,624,
942,382,557,091,870,539,362,206,874,165,849,407,004,902,144,939,804,988,695,
113,540,051,501,324,975,202,171,617,218,884,675,670,566,835,688,706,202,275,
357,645,378,765,744,377,176,603,448,992,345,673,908,354,807,780,826,076,805,
824,716,784,558,970,871,043,710,178,977,673,847,958,565,056,360,625,859,822,
023,061,113,528,089,571,497,064,131,556,335,387,531,514,291,284,176,520,346,
714,216,509,593,307,939,555,586,400,782,880,710,343,014,137,826,622,249,950,
409,041,490,463,608,086,115,072,415,586,271,934,817,836,288,131,013,740,302,
204,341,998,267,306,094,858,392,535,318,855,270,083,037,193,526,065,960,783,
397,231,941,441,890,332,673,259,757,991,087,706,233,313,155,597,901,793,925,
862,474,982,546,029,909,989,542,646,537,375,043,374,578,889,798,029,290,147,
824,575,277,614,372,024,531,052,162,820,212,069,363,644,269,943,711,094,891,
146,767,526,241,949,542,409,249,425,594,939,987,876,865,299,479,849,888,393,
462,673,642,469,072,145,662,226,306,029,633,927,404,870,769,385,935,729,245,
769,269,228,490,162,572,763,023,740,282,268,449,914,849,534,743,582,967,436,
033,255,565,156,407,109,880,617,622,217,053,742,203,916,097,026,046,152,294,
552,775,637,637,330,645,217,828,700,823,410,525,528,912,122,621,543,888,962,
522,773,382,544,540,621,233,665,982,205,405,290,311,002,019,260,989,088,229,
643,250,259,489,215,046,475,684,279,755,973,645,752,748,312,958,148,054,653,
406,268,572,268,002,302,561,821,271,822,207,564,512,704,138,515,240,009,660,
983,548,055,442,569,956,520,305,068,691,598,916,534,344,771,324,394,960,400,
471,167,430,787,091,007,684,051,377,277,562,682,243,889,066,161,162,682,363,
857,430,244,104,678,632,428,448,798,672,882,088,406,896,123,221,668,390,389,
463,189,155,124,752,583,732,997,328,460,952,152,511,738,208,492,040,135,590,
875,540,990,142,697,688,644,741,739,225,679,463,851,790,448,379,061,068,771,
099,056,567,389,182,940,551,212,388,688,039,021,331,357,174,594,330,972,477,
311,097,073,396,522,164,302,133,615,512,101,957,693,473,094,284,600,846,513,
661,679,642,094,558,196,388,544,570,670,224,229,828,392,870,429,174,915,085,
574,980,557,724,763,736,593,798,263,683,322,542,401,846,146,582,746,897,205,
628,858,002,242,798,114,160,355,429,829,506,981,466,277,750,447,208,254,728,
576,933,100,920,374,664,908,018,706,443,340,530,338,807,030,214,639,039,677,
482,734,448,113,532,335,852,354,555,071,444,260,315,736,906,496,641,981,074,
357,898,459,924,155,328,925,636,556,913,405,084,979,558,530,817,161,006,320,
787,636,673,747,856,900,822,502,483,075,617,841,612,412,951,366,543,733,308,
264,923,586,750,083,112,276,245,436,946,586,675,328,580,834,417,055,545,062,
670,914,825,859,807,272,663,765,622,594,032,178,011,254,208,724,796,339,154,
079,723,575,925,275,230,543,926,398,449,368,911,445,164,259,403,189,976,926,
892,663,953,883,959,075,088,391,173,387,871,365,460,329,631,588,398,153,996,
660,017,121,327,353,668,377,251,493,195,024,397,041,642,945,650,482,839,293,
905,696,159,499,629,567,205,747,083,701,422,177,198,686,978,217,369,429,249,
011,891,005,009,415,381,001,511,298,616,519,268,810,045,709,045,975,752,720,
629,990,065,877,746,826,573,595,162,107,175,754,746,742,901,658,215,096,814,
264,570,501,885,191,887,667,661,632,837,362,475,725,338,280,108,942,500,625,
243,221,300,016,019,382,008,289,959,998,069,360,903,709,549,381,261,634,629,
809,599,244,587,315,738,342,319,757,793,122,627,562,103,032,346,738,564,792,
485,538,961,073,970,308,972,428,381,949,697,225,860,859,464,835,635,343,692,
355,116,187,626,997,576,655,736,309,155,753,497,349,520,349,126,023,225,398,
923,491,155,417,368,394,164,031,532,846,218,543,249,978,990,846,350,423,794,
053,244,125,244,793,557,119,126,198,931,905,635,222,465,856,429,688,007,091,
702,492,843,439,241,474,607,653,061,529,458,251,249,969,160,305,209,723,571,
058,769,709,440,514,367,659,821,793,344,297,416,891,574,389,857,815,294,480,
735,316,241,053,540,658,564,754,767,457,544,680,075,089,387,186,275,659,624,
364,772,059,105,222,291,838,049,644,830,867,704,113,963,821,448,563,273,580,
865,554,394,207,080,656,598,716,356,513,953,784,893,723,906,191,199,670,169,
256,085,237,123,167,396,998,602,353,794,519,680,680,224,292,662,566,546,170,
795,034,114,940,727,350,492,066,851,392,885,539,350,234,826,560,420,191,787,
764,949,098,882,896,267,208,203,897,223,608,561,431,594,615,359,128,497,775,
724,931,573,844,219,507,588,189,150,979,321,664,948,765,296,623,528,229,088,
372,425,138,805,348,198,154,621,611,765,528,210,443,729,696,940,963,337,209,
701,850,111,123,548,322,622,260,177,839,364,722,551,254,019,255,707,290,406,
983,752,644,610,594,009,255,353,321,005,885,182,735,525,940,636,425,645,782,
622,683,142,329,978,357,079,133,864,128,575,903,583,864,586,939,490,477,772,
144,224,850,272,112,134,157,696,150,877,510,575,978,539,860,478,439,735,195,
081,240,161,999,338,629,928,725,873,158,363,485,478,333,421,431,741,987,931,
979,183,109,641,899,137,745,655,657,729,780,408,881,539,008,354,833,759,145,
217,382,512,169,295,043,102,253,823,455,464,871,873,290,615,050,584,676,675,
237,415,247,337,355,699,336,342,351,759,469,385,977,145,175,700,220,657,365,
801,479,469,909,838,115,478,837,466,547,892,205,324,493,809,805,786,644,275,
738,500,584,473,593,691,172,399,672,929,452,924,799,136,376,905,445,844,753,
715,616,190,833,710,150,930,962,194,189,314,896,623,338,291,313,767,042,899,
937,193,654,379,538,492,550,018,231,293,615,895,964,734,264,476,782,423,218,
066,906,533,563,810,494,835,832,309,401,179,868,708,990,779,822,991,792,515,
565,316,048,783,887,594,048,280,446,011,857,466,939,375,543,138,211,544,074,
409,620,424,688,819,090,923,884,915,526,412,473,127,518,479,016,932,535,992,
971,084,295,369,836,611,149,851,621,293,804,844,860,890,956,834,920,720,810,
472,934,664,319,578,981,444,747,825,879,737,946,215,297,305,892,357,392,116,
859,178,523,705,600,728,423,284,922,474,987,078,823,378,835,251,943,118,809,
789,988,878,665,375,519,159,273,794,222,130,923,220,232,305,542,458,698,610,
961,799,774,694,987,184,205,124,870,038,135,778,205,420,982,098,820,293,297,
098,045,278,861,347,457,829,566,510,722,536,027,859,964,904,222,061,871,537,
474,352,746,383,751,093,656,969,996,599,458,358,872,161,894,165,496,940,476,
993,964,036,644,129,129,130,022,249,135,273,186,964,298,115,559,081,454,782,
804,952,037,025,152,630,045,833,941,387,460,126,200,115,578,814,243,964,866,
233,536,822,433,108,652,261,642,483,510,559,504,437,339,725,600,454,168,598,
888,682,482,578,282,072,424,493,578,266,581,303,026,282,000,917,397,049,619,
447,544,314,130,782,396,118,089,102,761,342,498,966,938,464,846,535,264,655,
447,233,962,963,991,555,620,640,103,333,294,500,051,103,604,382,161,597,666,
681,280,215,013,523,495,973,887,594,270,981,782,602,445,901,017,162,102,846,
171,180,919,665,886,363,345,230,953,857,990,422,973,653,715,940,467,408,174,
194,840,318,702,683,478,033,540,045,638,590,694,173,553,599,262,732,200,678,
213,937,517,491,265,168,982,118,425,722,721,406,813,999,335,064,930,065,720,
323,125,932,642,610,333,200,566,886,117,571,897,923,047,500,035,165,790,239,
535,769,901,257,874,991,910,380,423,333,170,758,421,308,500,181,549,091,356,
290,251,646,375,712,417,165,143,186,137,666,199,186,907,252,388,063,107,957,
843,808,253,782,771,313,392,422,083,951,322,250,876,156,309,447,535,652,328,
719,740,488,720,892,143,355,937,008,172,289,713,379,170,501,481,925,692,592,
948,799,315,803,736,265,258,990,380,460,396,994,822,029,164,101,989,902,083,
917,039,180,483,182,022,663,697,865,382,239,145,219,391,575,366,377,120,965,
420,591,015,354,323,670,043,154,400,209,588,137,828,472,173,412,693,038,402,
425,653,966,463,828,140,529,254,512,291,355,268,954,933,267,301,712,588,807,
382,180,294,339,333,961,671,163,327,852,659,742,204,296,491,163,201,208,096,
467,219,808,201,229,083,716,507,974,053,389,175,763,918,839,799,726,042,006,
641,802,792,095,839,687,971,821,735,139,894,523,281,916,146,371,801,493,564,
388,961,762,904,055,381,576,953,750,700,647,612,546,016,422,175,386,809,078,
856,277,129,174,969,799,683,581,764,112,893,413,597,965,107,697,164,403,010,
160,664,335,691,076,125,495,927,830,991,281,571,669,238,084,888,648,032,188,
163,590,477,879,703,866,264,757,546,452,088,906,511,421,305,280,640,907,848,
689,228,593,325,004,482,414,718,299,739,158,225,273,996,391,777,334,430,934,
743,768,394,634,237,585,165,514,929,289,121,740,856,057,860,430,363,950,436,
084,599,405,383,960,180,774,081,890,485,894,616,580,407,754,354,761,854,672,
187,245,401,672,359,365,202,049,525,828,993,543,485,678,137,281,709,826,037,
202,011,084,983,769,983,811,663,395,829,211,740,679,918,715,751,777,273,838,
253,420,544,677,351,288,365,200,259,496,055,536,030,086,533,661,133,777,830,
011,044,907,581,957,056,073,987,043,466,266,408,413,587,929,603,966,849,383,
790,471,295,701,942,432,635,329,165,725,169,044,770,476,456,688,824,437,286,
808,877,187,409,558,011,826,091,802,078,927,259,234,618,082,342,853,584,166,
528,321,337,558,684,828,126,120,165,038,499,668,998,799,426,177,452,477,093,
094,624,138,773,340,824,549,126,853,331,142,024,777,260,690,017,328,690,300,
113,122,174,834,673,812,472,439,670,061,961,302,622,979,172,558,388,649,511,
686,041,223,782,162,109,819,228,614,588,924,618,567,652,925,545,557,868,551,
248,378,864,878,571,279,946,144,758,856,130,020,987,878,666,083,536,248,272,
258,692,917,520,592,887,829,200,652,517,590,176,243,052,466,728,734,376,034,
690,476,961,432,324,233,235,889,880,909,735,689,891,130,568,070,443,743,231,
490,529,621,331,486,980,692,110,754,363,746,932,291,590,006,604,146,415,264,
139,456,103,553,248,318,779,367,178,952,925,967,618,588,318,597,101,483,733,
568,854,308,826,910,868,752,970,020,851,620,212,927,821,395,436,870,508,898,
373,512,600,987,376,312,572,680,493,158,891,130,289,741,799,849,951,893,616,
289,548,622,870,204,861,433,743,560,608,796,983,447,281,507,773,315,185,736,
202,524,042,461,929,019,738,143,966,861,393,656,511,267,000,355,369,265,395,
602,557,735,940,606,372,330,759,962,991,499,257,953,488,798,404,483,430,570,
780,454,504,369,889,636,163,075,668,843,174,717,228,578,361,829,564,674,090,
461,210,498,086,287,584,608,937,633,754,615,969,301,818,293,359,109,919,843,
938,644,551,649,135,561,207,726,307,832,349,804,636,741,814,637,080,144,059,
266,987,132,033,884,805,189,459,099,029,533,808,503,172,300,479,417,734,946,
506,013,197,405,988,506,499,396,614,574,648,674,908,057,317,057,304,555,873,
224,906,581,092,000,091,125,057,659,476,117,983,710,406,708,990,994,248,898,
744,656,914,088,046,980,203,671,167,204,206,498,637,548,719,720,660,165,527,
745,332,150,705,517,225,254,336,181,971,485,124,129,009,014,042,986,421,567,
692,151,764,932,845,113,521,733,680,007,747,738,938,432,685,121,720,926,967,
028,464,365,323,528,475,950,249,250,674,099,208,926,176,944,915,156,423,372,
959,428,631,407,699,108,156,685,302,480,039,495,797,821,170,188,273,763,782,
527,203,169,275,105,802,833,881,330,675,758,927,923,603,943,834,299,154,395,
782,787,185,698,451,233,399,220,102,922,482,610,735,625,974,761,359,896,292,
042,004,830,683,804,076,298,659,666,105,665,957,494,733,129,437,798,450,508,
681,934,428,955,500,337,611,730,778,327,067,686,786,168,741,654,865,970,596,
435,658,827,374,832,374,894,440,595,396,331,410,279,024,565,011,680,603,285,
047,301,716,562,778,559,894,768,396,449,057,066,977,670,365,020,136,246,465,
486,580,497,348,623,283,778,530,305,489,213,064,501,682,509,883,357,629,808,
763,686,413,180,514,535,036,760,147,337,802,053,043,262,805,838,677,317,657,
328,417,813,765,479,774,328,282,128,953,621,644,312,097,401,448,322,413,127,
952,981,921,177,440,457,463,389,559,723,755,748,898,210,053,930,619,795,316,
828,628,648,165,618,846,557,421,486,128,515,609,234,990,499,382,706,555,174,
927,446,402,044,792,498,879,996,512,886,635,601,985,006,064,266,158,252,737,
704,896,626,444,826,085,962,917,586,856,129,240,125,954,110,271,390,985,119,
795,506,855,413,480,946,660,965,800,620,629,940,561,540,037,402,356,972,312,
640,275,794,185,869,457,215,618,859,684,509,335,264,982,363,052,265,083,884,
930,766,656,800,869,541,536,762,727,252,417,131,500,632,275,833,986,101,736,
850,122,042,928,872,374,007,643,646,072,396,073,011,517,100,779,604,050,326,
759,902,567,999,190,504,285,404,232,241,220,614,270,436,671,081,237,448,446,
311,767,430,934,127,758,396,623,721,317,536,691,422,038,185,197,987,572,153,
545,444,295,884,525,381,355,904,287,958,737,713,725,335,550,693,832,074,152,
974,817,379,732,039,079,589,616,930,739,285,492,710,550,737,540,718,504,306,
737,186,701,409,553,626,386,256,521,835,883,963,193,679,416,151,499,975,637,
920,144,124,281,645,258,729,676,648,469,609,052,568,505,093,320,906,971,939,
219,054,826,120,014,103,610,773,329,277,845,571,405,371,898,337,262,994,040,
395,439,505,864,298,190,278,318,425,531,741,751,065,392,408,410,455,322,135,
011,330,106,490,137,480,967,805,772,434,147,293,375,830,707,204,277,137,619,
056,875,186,038,768,398,500,635,416,131,019,287,128,347,220,986,827,768,577,
559,102,674,874,888,330,275,240,021,129,228,347,765,274,377,311,241,960,017,
585,332,749,668,510,469,916,440,605,946,118,170,893,718,170,394,001,291,810,
712,809,708,660,616,478,909,075,086,796,476,501,110,065,074,518,484,329,048,
600,182,807,543,237,843,097,209,528,181,599,401,099,212,699,794,193,976,917,
844,648,950,236,217,437,430,507,257,053,801,143,120,304,125,206,759,398,976,
752,840,395,425,650,008,469,301,023,564,382,461,943,880,507,737,455,713,200,
735,902,706,677,440,417,127,039,675,859,493,335,974,460,103,488,262,997,573,
301,418,316,371,494,065,405,521,321,062,283,700,017,503,987,100,262,863,292,
317,959,868,022,415,903,162,458,803,780,174,146,636,456,647,020,879,242,644,
837,884,094,968,668,203,224,082,071,175,048,267,522,592,481,850,227,037,858,
677,179,420,021,877,867,666,546,411,517,577,413,775,311,159,353,365,480,096,
793,816,400,277,236,009,618,907,568,326,510,187,966,412,624,665,167,424,096,
880,267,305,137,642,240,745,139,008,917,752,470,779,755,490,914,092,461,688,
089,805,591,667,971,605,336,463,930,030,206,658,060,887,038,960,352,800,015,
331,083,897,913,597,435,007,491,137,633,429,507,822,697,145,300,658,777,146,
049,595,213,476,666,429,477,478,905,085,583,717,070,762,681,978,243,977,763,
393,849,595,579,054,399,840,352,561,162,645,152,172,988,106,651,888,513,896,
518,892,686,862,211,299,631,481,715,402,947,896,813,255,945,542,831,220,832,
839,952,716,468,024,727,069,397,212,879,341,078,756,498,143,265,635,426,415,
498,420,869,404,206,244,970,939,864,666,786,967,248,151,802,028,798,634,325,
198,411,870,358,725,692,050,454,558,756,860,978,375,768,008,416,956,078,453,
710,384,195,766,416,434,755,997,979,219,438,167,059,630,184,340,810,112,214,
012,973,214,288,450,704,721,881,157,598,046,821,264,142,358,530,061,602,005,
450,704,092,231,137,764,846,619,167,652,324,921,558,277,851,568,501,831,738,
073,765,833,629,818,995,759,336,559,995,913,669,491,544,446,089,622,856,114,
541,857,209,997,361,679,116,362,009,266,249,400,555,659,674,001,945,202,861,
889,280,927,988,532,089,129,939,945,983,122,461,729,794,028,495,350,406,911,
537,679,391,055,607,969,442,778,566,441,275,101,046,328,033,603,359,947,670,
882,917,299,344,636,129,935,885,352,607,954,310,227,898,259,719,904,603,604,
639,102,750,842,341,406,551,410,813,684,842,022,038,306,879,829,183,025,508,
780,906,096,551,778,193,676,696,288,941,235,898,228,080,992,456,997,845,169,
134,529,565,546,901,872,152,225,955,425,136,418,822,006,594,482,540,253,274,
935,201,498,491,922,068,627,869,783,441,666,652,777,216,509,059,020,029,625,
965,159,824,407,842,009,577,935,828,570,888,868,702,925,995,926,071,202,968,
729,821,657,398,514,886,885,229,721,145,954,184,980,544,491,332,976,657,733,
779,601,335,699,320,006,374,928,682,260,243,261,559,085,953,920,823,143,335,
030,614,544,469,051,859,562,013,909,613,114,057,114,692,899,275,163,331,260,
775,631,322,349,033,346,670,964,483,431,621,694,771,333,173,399,157,543,329,
067,407,207,066,257,928,058,972,837,569,693,871,473,297,092,371,130,743,435,
425,445,177,286,939,229,275,888,140,008,425,132,970,104,645,317,559,081,902,
831,669,869,973,104,767,159,865,961,201,489,559,549,076,630,492,825,042,542,
557,894,322,919,644,488,655,945,433,764,938,275,121,539,266,163,929,469,999,
225,449,857,995,160,985,640,480,674,109,963,351,087,707,827,404,341,411,777,
847,307,809,453,556,762,354,122,650,113,366,381,394,339,284,345,921,817,920,
758,458,795,058,190,325,015,074,047,983,981,211,123,545,989,632,866,362,250,
293,001,878,843,082,744,618,509,759,544,516,812,599,949,295,576,175,861,855,
109,803,551,766,212,398,405,985,971,278,093,898,314,938,883,231,081,184,958,
240,234,675,162,275,377,580,558,379,277,617,417,770,904,220,488,002,588,497,
700,636,138,350,181,306,648,380,250,255,383,887,299,624,134,808,191,505,218,
842,990,741,460,892,265,294,834,571,161,360,395,517,004,521,303,984,660,105,
621,471,236,691,918,252,510,036,004,915,600,089,585,170,280,674,525,600,266,
530,649,341,401,124,586,145,523,823,113,556,064,277,599,778,457,048,408,160,
566,365,434,283,680,694,633,869,121,160,933,387,201,400,856,941,178,272,414,
782,618,938,647,509,512,239,157,376,794,288,611,447,618,821,112,938,507,762,
160,266,182,036,856,676,815,489,834,819,540,130,440,962,824,100,966,469,874,
967,889,075,130,745,774,201,611,366,075,055,872,216,231,281,565,185,616,695,
093,187,393,733,319,715,787,791,023,766,179,143,560,078,662,914,083,381,490,
113,344,741,113,459,170,622,492,372,627,042,854,134,041,855,706,605,426,643,
323,316,694,168,790,007,379,459,618,613,090,232,975,900,995,666,115,937,999,
169,630,010,519,378,936,844,718,953,055,249,153,512,980,195,852,967,316,915,
639,949,489,599,185,230,488,542,936,666,517,123,501,273,837,627,064,375,433,
378,913,340,582,704,917,591,712,641,164,532,687,426,959,167,320,514,719,446,
857,425,593,003,212,615,230,720,342,819,432,800,808,467,231,683,026,320,762,
492,101,804,650,448,913,473,608,089,773,621,612,633,069,419,970,240,072,407,
411,741,149,625,452,821,934,832,216,116,005,924,512,403,665,896,154,040,687,
099,030,731,698,760,989,793,522,064,764,069,111,010,326,128,177,740,299,022,
196,875,216,792,241,290,267,372,698,916,879,789,330,394,474,110,015,524,127,
186,299,945,000,452,716,440,449,400,130,586,542,700,064,589,332,614,940,280,
553,443,929,221,010,789,164,731,849,622,301,090,625,789,804,506,635,855,935,
360,820,102,332,934,301,152,160,912,616,531,825,800,943,741,631,100,523,968,
655,605,957,255,935,348,591,666,413,869,935,597,210,511,900,809,370,081,984,
602,699,473,361,650,803,129,781,669,952,241,419,523,950,620,738,537,038,982,
446,007,933,172,136,284,180,204,583,597,250,017,448,270,655,039,063,726,452,
540,610,453,248,610,222,132,052,549,137,287,166,012,880,799,806,336,888,993,
758,345,416,499,472,314,069,030,208,809,556,621,897,300,693,225,468,902,319,
873,683,056,300,300,398,983,392,637,239,932,766,610,727,176,595,145,472,182,
921,685,824,778,616,792,494,323,212,679,398,824,426,440,118,216,159,452,953,
098,126,490,585,249,003,285,291,306,963,041,972,755,906,875,347,288,258,027,
368,193,356,528,813,938,378,218,703,215,630,028,614,465,783,014,347,740,425,
840,893,035,723,306,553,308,858,612,621,307,959,853,562,934,360,465,217,445,
340,146,009,213,059,434,391,095,414,976,544,574,580,113,535,706,915,625,007,
982,571,395,459,230,977,571,467,163,065,565,310,468,367,939,997,864,330,264,
311,410,130,218,384,846,368,078,282,251,460,403,596,148,306,172,293,999,552,
338,537,823,081,259,302,561,152,516,592,192,229,295,746,014,138,244,977,134,
960,977,114,601,950,984,215,275,182,825,594,500,652,217,968,575,544,391,594,
304,365,907,190,386,188,553,236,249,957,284,777,937,236,499,465,285,286,933,
597,756,343,333,536,996,129,032,988,309,049,344,695,725,825,268,980,581,394,
533,464,985,801,883,723,281,456,250,889,202,131,042,897,305,743,642,584,802,
071,729,942,077,931,430,373,153,225,243,084,650,159,785,143,905,571,594,083,
675,135,942,177,434,825,388,877,918,945,652,782,599,938,715,394,325,428,540,
474,362,294,416,177,096,811,293,942,255,671,286,964,959,330,197,412,721,607,
435,144,402,216,389,860,145,484,536,431,701,404,857,649,471,113,335,014,361,
471,311,431,475,353,248,772,922,984,256,755,796,835,939,089,253,395,157,972,
461,293,788,305,299,067,074,713,711,921,026,543,792,196,015,012,923,890,774,
573,795,584,598,229,968,598,075,893,268,117,629,390,338,908,042,722,999,272,
621,345,758,522,816,712,076,097,335,712,190,624,744,262,357,319,700,941,256,
840,938,044,675,503,054,334,240,724,380,671,631,083,076,176,922,315,598,060,
942,192,155,156,992,819,304,956,427,506,928,661,684,272,290,690,518,164,990,
492,648,360,912,904,155,492,037,651,427,061,850,600,798,480,436,409,983,578,
240,447,279,737,980,653,150,947,593,798,752,190,811,707,878,283,717,440,215,
886,116,607,530,089,916,385,592,927,097,712,508,064,372,165,591,564,264,594,
001,403,230,187,858,609,748,375,305,860,812,091,502,438,354,461,047,689,058,
510,695,767,830,272,806,286,844,382,606,306,191,355,845,079,886,588,788,296,
916,409,423,633,504,547,333,338,098,647,601,256,517,383,090,495,072,130,191,
437,328,337,852,450,245,352,153,948,574,388,451,130,734,773,320,918,335,848,
030,304,141,661,339,109,046,208,115,788,756,578,307,976,684,331,026,129,578,
195,416,409,298,315,540,684,233,297,310,282,430,522,419,608,620,719,320,334,
710,775,616,097,124,494,984,906,142,618,272,060,896,947,253,441,677,801,117,
590,597,949,342,035,207,579,980,652,771,652,232,525,751,059,542,220,816,678,
863,414,385,612,130,547,366,392,685,210,709,060,206,294,768,343,583,513,906,
865,815,393,996,577,920,870,718,408,655,126,667,412,660,755,176,552,353,744,
426,255,299,352,319,973,293,291,303,549,125,083,690,570,584,879,084,093,623,
064,783,156,668,013,663,827,956,534,870,553,363,981,149,829,220,862,473,860,
269,531,256,132,831,982,879,597,238,420,449,733,659,824,783,827,202,535,128,
665,866,394,591,416,935,638,742,288,623,604,947,198,080,669,048,602,249,514,
818,415,922,463,667,365,404,795,192,555,392,797,399,607,149,277,633,725,117,
327,717,183,812,680,440,282,005,886,925,866,500,046,758,508,267,668,177,551,
254,898,244,018,719,870,001,482,580,076,256,854,882,310,642,819,199,409,629,
406,498,039,846,536,328,900,183,205,326,151,156,484,135,306,991,120,444,213,
630,192,893,117,585,035,656,664,675,595,793,472,795,015,303,880,017,780,116,
266,013,221,397,477,879,321,018,631,075,766,665,155,045,572,429,632,037,739,
780,018,173,118,160,486,051,356,741,740,711,360,324,081,873,126,255,890,401,
314,122,767,984,004,424,917,911,876,117,643,820,613,140,201,406,186,144,617,
465,186,886,318,760,895,076,813,920,109,156,845,109,212,722,137,630,272,596,
036,896,551,400,804,748,990,398,883,981,494,036,871,393,059,091,102,655,957,
483,354,036,361,695,907,781,629,525,688,550,544,015,984,399,963,592,626,943,
114,108,199,699,354,131,222,239,065,166,923,172,114,603,529,553,743,381,673,
231,827,445,153,259,029,953,729,233,209,328,281,589,572,794,670,082,116,211,
155,058,462,596,976,129,949,775,366,312,560,210,488,488,722,408,868,265,748,
908,777,798,152,468,852,798,531,136,503,763,072,292,557,066,576,147,547,535,
593,234,568,987,277,654,399,683,153,331,236,697,828,293,449,947,333,988,876,
082,619,381,027,496,389,326,927,687,762,732,101,092,820,474,140,554,506,719,
581,655,882,530,800,351,801,994,632,234,852,571,510,913,263,651,936,895,706,
013,153,886,142,452,782,049,958,453,538,836,849,627,484,085,717,309,767,077,
632,079,810,172,595,803,439,180,802,297,871,432,732,204,166,614,901,285,650,
127,929,249,552,123,986,595,541,979,226,626,522,837,521,189,596,981,407,185,
435,132,850,478,254,385,490,506,104,787,919,085,449,347,425,341,808,275,998,
593,828,290,391,327,245,220,145,650,954,693,466,325,987,970,403,156,577,075,
027,748,690,562,369,450,249,478,154,937,579,110,825,867,111,708,102,010,936,
850,665,544,205,167,555,757,918,649,188,834,747,095,305,685,513,882,001,104,
746,484,526,367,390,603,038,691,507,094,777,968,462,415,823,502,101,362,322,
555,197,345,114,907,335,033,638,675,319,944,726,330,112,991,838,076,183,252,
610,518,295,669,883,605,803,873,588,782,716,444,386,415,889,094,071,741,325,
790,007,222,169,026,636,105,012,224,529,151,840,038,660,677,295,848,459,321,
817,581,441,410,156,336,138,799,299,990,107,125,439,451,909,307,567,284,609,
004,298,662,018,972,690,940,173,861,591,041,985,102,290,380,983,476,418,770,
067,031,133,775,407,820,002,641,850,833,938,611,003,986,042,744,867,435,360,
408,781,125,037,511,511,707,133,506,357,564,539,508,936,278,219,302,930,293,
935,516,027,204,597,973,779,834,238,008,774,844,679,989,616,979,072,944,547,
422,249,086,381,614,000,469,123,774,316,156,063,871,934,432,828,020,260,835,
770,284,005,901,721,864,822,116,806,374,115,899,038,326,081,752,425,207,148,
726,743,235,137,142,525,770,711,609,907,859,018,465,761,789,846,918,360,354,
333,574,225,695,097,408,182,922,647,522,740,357,310,653,446,948,611,920,034,
229,701,031,224,989,183,645,624,077,635,598,452,627,290,807,824,258,854,044,
556,180,068,556,537,747,420,811,177,607,058,552,028,241,840,671,734,124,440,
769,030,039,897,851,161,889,353,263,241,402,248,808,297,927,082,905,061,360,
644,877,976,776,258,020,006,845,231,153,135,884,307,494,369,600,654,983,226,
342,377,476,618,188,341,392,630,565,942,041,515,618,371,523,938,014,683,641,
880,029,846,046,173,168,913,434,720,690,432,632,759,200,623,557,850,378,887,
531,555,423,262,563,819,019,012,278,022,941,990,888,617,445,009,225,169,956,
740,007,624,361,269,079,852,084,301,884,696,497,777,972,624,897,686,609,085,
624,932,359,854,878,590,198,540,236,722,783,972,286,467,922,199,091,018,922,
722,304,148,521,124,728,183,812,036,558,431,265,491,560,911,205,597,299,675,
585,129,779,420,068,371,604,581,212,651,873,783,736,041,899,398,163,926,263,
416,749,539,351,591,222,697,376,992,096,783,338,091,063,698,632,732,658,793,
796,199,163,942,551,703,903,310,102,695,900,540,587,696,431,958,190,327,814,
550,250,873,321,165,836,443,065,869,005,624,400,054,391,986,492,111,280,086,
725,354,274,517,348,398,268,034,876,641,065,113,669,940,248,466,362,364,795,
373,044,539,264,168,138,023,484,343,201,737,907,997,398,230,094,790,391,699,
401,541,983,467,109,667,031,733,566,638,027,886,398,028,894,197,376,570,335,
051,529,481,343,907,937,841,166,842,595,198,212,192,116,827,131,763,606,512,
029,275,874,824,468,444,336,039,576,252,162,551,304,976,372,723,375,672,118,
272,729,693,188,410,387,832,055,256,773,176,759,676,469,120,220,312,676,574,
525,667,156,683,850,302,212,011,151,559,242,114,790,665,277,302,930,260,477,
181,703,363,444,091,034,319,010,507,060,745,445,928,392,915,504,418,012,093,
705,443,888,349,472,072,816,056,006,280,824,778,208,492,438,596,238,412,215,
754,601,093,820,793,555,640,499,017,079,832,445,182,373,400,304,780,604,349,
317,924,181,129,826,738,409,308,705,489,024,845,739,891,071,797,280,914,145,
788,556,821,339,324,422,405,312,924,443,967,714,731,440,589,002,365,809,951,
568,250,521,083,246,698,649,138,470,588,105,458,698,266,944,766,680,232,474,
345,383,219,816,770,473,172,366,067,026,006,198,528,761,772,216,053,139,828,
520,166,500,890,398,353,314,731,548,771,892,731,557,707,309,507,022,308,768,
102,363,690,484,604,413,835,536,452,068,089,027,287,051,658,193,221,267,110,
893,544,351,443,931,825,140,412,509,595,627,689,556,325,393,030,850,340,042,
400,532,767,607,598,336,675,652,398,101,806,027,909,784,570,156,181,089,210,
863,302,279,533,686,468,415,743,247,040,594,495,805,188,831,521,024,936,482,
735,711,396,975,573,813,072,002,419,121,177,166,214,683,566,847,912,432,491,
316,279,483,894,960,972,548,709,756,051,523,505,384,600,737,345,748,921,434,
951,570,416,026,165,860,934,058,188,869,017,646,326,193,191,371,300,847,512,
808,414,564,991,534,043,926,208,762,717,190,194,818,098,564,027,856,633,617,
426,142,737,590,390,032,657,313,789,252,658,925,678,571,558,671,263,566,086,
912,406,389,815,604,405,105,689,095,848,480,507,984,225,790,373,352,541,244,
325,741,892,189,251,203,001,372,716,170,250,716,959,825,504,265,196,800,925,
631,419,301,676,047,000,403,186,714,479,758,929,577,805,345,896,535,977,257,
523,551,490,365,317,210,227,247,359,071,273,840,653,643,262,417,657,517,340,
160,581,347,952,974,670,272,988,686,205,624,157,396,933,216,601,780,625,891,
796,744,718,753,761,278,379,733,165,219,389,449,798,497,723,604,286,897,754,
544,831,438,276,707,318,573,232,492,845,784,392,763,553,709,605,688,585,682,
489,748,029,269,500,776,852,173,917,450,802,688,550,563,662,180,607,008,333,
707,028,044,431,573,580,231,762,325,724,971,029,467,684,457,804,988,172,396,
901,366,414,831,922,175,584,160,237,220,108,735,249,584,772,907,352,092,120,
397,192,963,691,268,332,458,836,127,591,890,184,982,014,056,125,670,035,131,
998,182,812,854,318,108,627,291,651,971,784,767,802,890,825,968,370,616,603,
639,290,395,708,216,838,360,309,813,838,502,396,573,477,127,247,817,279,357,
905,030,617,824,958,432,617,901,557,543,966,582,336,852,779,902,392,108,294,
237,321,203,222,542,304,334,431,484,733,979,370,998,640,607,217,781,495,777,
011,079,450,566,483,400,455,316,707,215,177,453,076,101,807,953,162,821,802,
953,975,339,810,260,337,693,429,311,962,831,801,602,308,525,245,885,705,696,
367,363,239,882,763,553,450,126,700,459,116,523,475,341,771,126,648,992,632,
869,666,647,227,024,694,008,105,636,916,229,704,286,447,254,370,873,742,679,
338,602,208,801,763,671,157,253,747,365,389,135,390,247,367,281,686,288,799,
539,470,343,966,839,156,659,363,156,860,955,150,872,172,957,893,014,889,145,
854,765,457,160,164,902,698,224,936,899,101,002,613,172,972,332,396,610,171,
806,341,852,345,578,675,793,128,378,524,494,745,093,355,039,215,572,041,333,
031,452,821,753,957,505,924,689,498,044,564,366,470,155,742,051,100,418,353,
057,349,026,474,224,882,547,435,863,100,719,588,251,004,598,989,061,396,600,
230,394,574,431,578,476,481,758,417,255,639,471,371,574,503,400,711,900,621,
180,740,004,603,291,065,796,437,214,386,341,479,436,713,815,610,543,837,791,
172,265,574,903,407,852,528,077,701,282,659,106,391,497,037,302,842,550,656,
978,760,144,471,546,033,706,943,699,576,543,297,199,890,290,893,180,370,493,
024,591,291,380,324,905,668,751,821,374,882,214,018,239,761,573,919,258,907,
135,758,883,699,719,854,123,814,414,846,369,692,388,013,415,696,030,804,480,
046,854,295,256,243,861,153,978,641,298,166,114,420,531,245,122,848,771,402,
958,013,304,128,141,438,840,140,755,904,747,632,885,690,296,880,950,334,761,
715,393,901,558,104,959,556,890,168,453,915,110,583,868,641,344,190,285,627,
033,047,434,187,172,030,848,381,167,604,056,018,310,741,801,211,173,891,164,
061,395,486,549,137,116,852,297,073,216,516,661,395,707,961,094,042,266,881,
371,067,241,817,841,444,791,478,039,201,850,560,315,961,972,278,362,407,022,
560,526,539,796,747,738,422,170,476,810,856,021,027,466,128,767,809,477,799,
835,043,485,675,439,108,475,335,343,769,588,272,912,257,472,861,782,624,686,
684,072,157,530,728,087,376,814,307,376,161,378,813,660,231,955,360,068,434,
356,648,821,183,577,063,832,855,089,913,469,978,322,930,142,681,569,074,260,
944,739,069,311,123,338,148,813,902,399,293,085,657,637,294,932,076,547,051,
199,753,212,520,089,624,778,758,892,949,162,479,051,990,372,988,069,528,429,
899,365,783,555,761,900,834,041,931,176,782,836,923,719,684,961,501,871,442,
820,208,967,043,687,868,850,708,597,195,662,290,488,405,719,550,392,759,821,
428,801,814,082,884,063,960,811,471,798,130,088,832,633,800,066,865,838,199,
399,469,277,635,872,481,738,118,205,531,214,828,189,602,240,101,607,855,604,
423,571,804,008,842,386,731,919,874,569,619,697,775,700,233,973,961,135,180,
279,852,929,329,263,155,838,153,491,966,679,784,812,821,955,673,182,763,863,
013,283,410,355,372,798,686,415,577,461,450,301,563,361,690,729,909,901,623,
510,060,301,526,974,885,070,543,312,625,591,958,472,248,189,064,289,174,371,
522,746,206,674,978,872,438,353,913,010,007,563,138,983,866,402,760,025,879,
429,970,109,529,959,161,080,727,925,577,865,529,886,118,683,959,266,039,858,
029,243,484,570,225,867,839,076,794,282,108,958,422,602,319,641,126,670,618,
366,266,225,197,009,981,365,661,136,161,743,297,021,200,016,939,346,566,819,
646,090,535,565,143,217,023,144,688,292,093,847,068,407,876,143,475,702,850,
084,903,981,637,619,227,128,892,395,821,350,419,484,365,892,571,071,479,787,
498,891,602,911,712,980,913,210,179,675,880,401,013,256,153,666,821,710,684,
161,935,717,285,222,157,023,375,730,112,478,942,578,672,380,875,314,775,150,
917,981,872,471,174,640,057,516,027,270,152,338,458,127,258,420,653,497,745,
569,407,927,192,995,607,680,048,397,733,593,636,645,826,555,403,347,908,937,
549,079,638,406,937,048,108,389,465,343,875,647,007,761,160,020,829,654,009,
422,642,238,680,293,759,850,197,307,183,958,716,788,572,372,705,501,423,912,
006,450,621,182,454,185,556,492,202,598,794,353,687,777,842,895,289,135,097,
153,692,846,597,010,793,724,558,529,253,840,957,751,947,135,330,321,007,550,
793,415,373,074,660,115,200,389,161,142,447,102,598,677,391,934,878,915,023,
927,716,190,800,337,807,070,242,602,869,982,987,642,673,329,910,591,212,361,
118,346,166,902,787,525,149,598,719,854,761,978,470,391,011,786,503,668,136,
372,557,777,771,240,816,273,174,541,608,880,197,809,154,626,823,162,000,075,
692,626,766,310,472,943,445,110,205,319,655,187,048,840,381,508,797,372,462,
615,748,121,726,554,749,947,247,323,733,102,284,193,883,570,589,515,002,271,
750,810,399,287,461,001,427,031,309,157,231,839,343,374,706,248,117,454,558,
297,390,856,068,572,934,949,837,388,939,450,137,009,581,726,325,646,402,987,
186,124,833,501,054,619,176,730,099,505,332,758,870,637,099,820,274,583,956,
308,005,723,603,920,375,624,384,417,099,711,969,720,405,024,298,599,651,925,
187,212,554,053,028,753,850,819,946,241,228,774,897,749,112,841,145,736,065,
003,242,443,854,115,769,784,448,477,774,742,658,312,938,978,739,575,230,524,
372,854,474,012,656,092,033,733,088,750,650,600,435,970,247,177,228,792,908,
990,292,368,293,462,332,961,249,815,968,208,532,898,314,219,690,791,506,730,
821,221,178,252,773,154,118,243,784,725,621,986,141,120,006,625,591,115,675,
749,493,601,653,814,783,954,372,928,516,076,496,954,372,202,481,861,790,098,
318,262,252,045,608,547,869,870,161,382,564,717,642,162,081,338,849,325,489,
974,339,566,727,402,165,322,757,446,379,265,796,194,961,369,200,633,360,380,
626,903,215,865,541,786,107,466,452,150,406,323,887,703,744,943,367,751,938,
392,872,768,001,310,277,708,919,024,308,817,627,941,946,826,412,058,238,281,
043,832,963,394,205,275,588,719,944,498,506,036,472,915,092,734,192,634,295,
667,885,849,447,834,113,627,391,473,771,164,931,935,646,833,212,259,849,456,
626,142,302,225,852,714,084,275,634,487,483,750,111,134,334,111,759,843,613,
223,679,373,520,988,125,104,016,411,344,366,200,158,354,903,678,527,317,732,
729,969,490,149,905,615,747,382,942,297,308,638,955,647,968,506,283,319,933,
927,068,508,960,533,169,907,698,895,694,818,787,527,337,958,895,516,276,202,
896,657,733,984,908,591,929,921,377,492,273,312,451,711,797,198,056,528,542,
223,732,160,745,831,498,239,447,412,512,885,672,082,017,424,645,281,053,636,
348,962,743,282,102,023,602,890,378,701,686,200,967,152,513,899,888,198,187,
755,449,442,168,163,738,516,536,550,834,623,315,496,267,801,535,011,548,640,
194,887,729,878,846,260,091,784,297,870,683,992,833,577,075,917,279,976,700,
929,150,263,230,791,190,330,805,471,037,153,320,497,982,816,903,021,938,529,
231,991,304,554,865,895,560,829,042,790,708,565,570,373,709,500,199,924,337,
865,569,253,077,579,555,960,364,466,188,129,268,037,042,228,004,013,573,365,
607,321,770,173,557,651,136,599,555,899,806,235,951,286,824,279,454,900,303,
694,747,024,297,367,849,545,446,725,505,152,995,750,211,630,097,541,388,071,
592,340,640,982,039,907,101,737,403,610,999,565,163,981,917,516,712,137,069,
698,647,874,544,264,601,019,950,919,544,424,713,526,030,844,214,055,982,095,
532,075,084,538,053,322,503,396,372,491,886,070,129,563,054,228,895,406,744,
395,888,397,806,203,101,313,347,632,923,174,862,530,957,119,745,842,388,233,
868,216,430,099,738,429,566,359,732,806,873,838,809,048,766,165,515,822,321,
555,257,449,074,326,107,698,606,773,551,767,540,022,372,848,510,873,883,317,
970,380,341,428,662,997,600,215,341,463,605,158,870,154,032,505,719,055,759,
076,796,085,614,542,817,339,991,600,015,959,601,581,555,570,749,517,279,922,
707,886,764,111,031,971,072,228,226,985,667,508,922,488,850,159,185,528,553,
461,141,331,245,955,297,542,724,726,979,154,591,776,670,010,277,141,448,762,
287,367,249,900,226,055,632,047,908,237,029,388,193,766,001,432,281,112,661,
422,678,645,118,676,705,207,974,817,793,767,234,861,076,167,731,361,490,907,
279,538,206,721,730,987,923,765,725,844,003,855,458,262,613,404,537,876,024,
557,765,895,092,739,106,771,082,640,551,394,206,060,196,118,427,108,856,822,
349,717,369,522,477,767,144,539,967,308,662,995,854,095,717,869,864,409,884,
418,964,972,124,595,332,393,955,486,848,878,771,281,626,138,619,780,338,342,
317,116,406,269,018,452,071,247,861,403,048,225,817,946,735,056,008,965,279,
979,739,529,674,197,353,303,592,187,710,990,016,167,164,986,690,394,165,397,
190,693,143,999,585,430,900,812,862,855,612,120,276,763,303,989,684,491,009,
640,956,612,539,581,604,330,300,017,522,891,441,426,068,658,099,502,928,903,
244,667,887,040,412,800,804,966,056,121,402,016,531,113,433,286,921,207,721,
313,863,138,304,857,894,665,648,429,352,232,162,260,030,351,265,452,617,747,
632,548,207,856,869,902,492,255,180,193,038,809,936,913,623,941,094,549,081,
319,055,674,592,093,287,257,664,712,680,428,906,408,049,084,162,276,987,892,
386,277,249,713,712,657,902,943,465,249,256,806,848,191,904,769,752,556,736,
336,802,042,346,107,775,468,903,425,060,910,574,953,799,204,189,467,065,711,
454,834,555,059,347,976,467,621,042,611,847,621,874,361,688,024,373,477,512,
301,231,561,536,021,824,597,815,587,522,549,942,720,117,307,310,781,260,527,
083,127,873,189,996,519,615,492,287,869,303,987,588,191,279,014,864,381,173,
287,731,617,042,414,692,369,048,447,217,549,365,067,045,423,721,946,163,262,
926,654,295,979,557,024,357,089,107,530,218,293,553,121,460,657,366,254,381,
586,809,181,853,455,414,072,088,738,553,828,825,067,935,355,496,472,761,392,
046,298,941,219,724,104,344,218,651,639,113,291,864,229,695,957,929,774,021,
840,360,897,946,291,952,667,260,206,101,110,892,457,437,856,135,062,275,609,
933,433,378,109,497,509,681,153,224,987,326,950,812,843,886,932,632,940,886,
057,348,386,911,196,989,279,843,852,437,621,862,894,422,493,895,632,861,223,
740,674,986,034,225,277,592,141,290,233,149,813,376,498,307,537,919,114,412,
993,827,349,065,004,121,354,480,938,157,553,451,581,628,327,701,810,085,621,
798,098,169,370,448,356,867,956,489,113,043,143,563,185,614,706,899,481,404,
907,206,258,577,716,505,644,816,142,954,955,675,589,077,530,943,381,184,395,
828,922,325,628,715,254,904,192,421,928,690,414,445,545,165,330,109,526,797,
272,432,824,982,053,140,317,733,923,170,019,369,777,930,664,948,592,819,019,
445,712,820,249,784,189,085,103,951,284,666,696,126,641,696,122,141,659,512,
983,790,871,453,229,479,531,629,874,777,972,339,352,919,335,108,980,582,310,
969,773,303,281,980,700,641,209,560,549,406,234,840,499,541,104,626,081,019,
259,602,383,981,957,161,211,390,102,023,907,755,931,964,377,734,692,002,267,
257,421,658,583,234,541,383,090,291,005,404,219,734,119,314,683,496,343,645,
687,798,103,142,511,039,463,331,435,295,829,143,877,539,217,808,783,046,685,
975,097,670,005,856,582,254,846,321,634,766,325,526,409,273,259,287,565,290,
332,281,826,900,061,515,134,363,059,035,852,851,928,979,608,126,178,802,412,
027,682,345,567,070,969,579,498,384,630,685,848,865,595,809,390,938,036,284,
256,674,379,577,537,654,801,436,232,886,803,350,140,515,277,227,280,116,055,
714,497,323,690,803,453,756,134,672,363,931,070,915,207,332,133,272,813,915,
180,937,258,351,791,955,226,628,040,540,375,679,657,444,106,803,298,184,479,
679,775,913,471,270,531,028,193,440,813,574,306,099,354,481,024,498,604,728,
388,432,571,943,170,836,555,157,424,203,209,962,939,112,746,651,874,472,002,
417,376,714,747,556,820,140,772,838,865,946,342,830,812,870,262,186,274,880,
501,496,816,006,669,608,643,419,452,292,425,625,694,917,621,127,729,852,166,
772,539,592,733,477,945,553,534,166,645,719,621,058,856,312,702,952,434,454,
049,051,638,910,133,929,169,082,703,288,506,945,191,113,754,553,692,217,632,
080,307,662,390,391,087,804,702,859,490,055,204,170,736,663,339,937,180,764,
171,284,554,137,315,628,578,698,123,809,205,674,568,934,086,478,001,745,710,
944,139,632,378,733,922,863,943,635,280,153,442,357,330,521,817,823,593,372,
640,433,395,322,615,693,381,702,039,883,056,979,049,924,356,268,620,006,591,
046,641,431,646,089,627,979,523,262,991,045,279,855,649,640,488,823,080,639,
391,213,841,923,191,019,198,037,131,788,100,119,987,411,376,426,254,893,897,
105,743,849,065,526,538,617,451,687,740,843,110,972,710,282,254,434,955,480,
640,562,116,829,547,815,854,539,488,779,935,921,632,521,201,691,101,870,722,
723,198,435,957,993,619,982,015,516,758,721,183,965,483,754,755,963,256,027,
689,742,840,883,053,653,053,371,105,366,183,407,142,287,001,950,060,195,488,
766,024,593,832,282,896,682,437,996,423,019,301,682,046,702,312,922,022,495,
312,558,834,357,281,394,252,431,578,900,397,076,259,652,851,347,860,272,377,
271,936,833,121,064,050,537,858,779,177,434,106,974,117,107,666,595,819,384,
596,120,810,680,406,269,705,498,904,614,978,781,533,151,502,338,039,128,647,
308,540,349,973,212,245,907,396,183,681,310,690,042,401,805,631,376,053,036,
223,032,649,759,439,357,206,300,845,170,211,263,381,905,956,767,547,762,582,
484,402,669,752,142,127,997,352,593,014,242,452,573,857,045,888,831,716,757,
657,985,319,942,207,140,775,554,064,112,572,272,495,199,531,007,448,466,004,
912,668,444,788,273,603,165,316,693,960,676,923,664,503,052,803,829,277,463,
878,721,938,053,599,051,277,177,832,703,860,556,705,957,030,354,599,541,326,
037,354,586,588,170,867,999,379,423,318,459,178,027,534,299,036,337,716,862,
090,797,391,599,269,131,799,058,850,720,031,216,970,197,066,966,577,412,811,
580,958,162,538,429,121,468,253,831,140,985,762,703,702,593,881,101,393,004,
656,920,851,689,966,271,568,111,929,782,098,975,411,085,123,760,440,517,330,
682,666,591,200,311,766,168,992,035,148,130,580,631,964,175,317,357,366,038,
594,286,205,357,401,102,875,479,742,825,192,990,924,758,184,439,264,121,432,
238,047,055,329,589,302,431,322,599,636,473,556,956,773,606,387,182,466,346,
597,010,579,867,857,194,546,293,511,983,717,056,729,670,113,805,139,401,687,
033,549,736,287,935,427,591,868,089,391,970,922,112,955,548,060,959,874,077,
288,433,857,695,774,025,144,242,555,279,231,393,396,208,112,132,945,773,645,
891,879,150,567,698,854,624,282,399,200,569,061,568,789,748,429,533,799,939,
385,153,491,539,421,019,346,572,451,425,233,978,823,953,770,349,364,788,468,
087,675,676,125,859,118,930,987,221,369,824,967,427,682,142,042,266,827,986,
974,453,619,616,813,894,946,357,799,662,311,310,972,278,977,399,394,270,260,
093,081,994,576,177,425,227,177,851,792,948,524,004,419,976,921,643,404,060,
376,016,458,188,611,960,503,637,424,777,911,238,897,867,817,548,918,658,596,
659,503,097,469,100,505,351,157,832,193,109,578,808,967,043,179,153,563,609,
383,589,509,922,471,211,497,844,341,324,922,999,241,955,585,834,300,348,204,
961,408,265,238,654,112,647,230,037,907,813,573,106,659,357,877,568,247,777,
970,934,053,605,904,398,328,372,763,665,314,922,176,706,336,094,848,535,181,
276,051,618,783,968,942,964,378,547,412,778,217,330,479,557,216,605,893,600,
002,126,130,283,377,457,983,451,976,313,228,625,151,266,259,994,321,258,598,
267,004,035,065,982,390,308,362,360,723,148,083,174,839,845,008,059,281,001,
048,018,438,008,913,583,346,158,511,557,344,909,078,708,954,507,236,170,537,
517,212,605,924,564,714,298,816,985,560,631,597,168,128,985,033,987,106,322,
406,401,746,341,932,059,018,279,448,248,571,945,003,957,880,009,276,668,877,
175,049,639,605,824,281,203,120,815,649,944,864,855,933,512,612,714,226,627,
266,697,192,771,616,977,857,616,864,872,266,128,576,053,545,975,940,695,108,
286,931,335,781,503,655,433,695,289,281,056,969,469,372,187,725,126,325,044,
406,217,029,673,185,783,091,211,756,842,682,282,949,809,893,371,356,409,692,
394,036,295,439,068,593,978,536,835,217,544,700,157,540,255,969,446,487,284,
757,412,408,561,016,340,894,658,677,423,912,454,089,318,762,766,960,284,268,
736,967,332,603,368,913,967,309,021,656,577,345,612,511,630,428,103,798,097,
846,614,499,188,039,649,597,102,602,487,228,302,557,402,207,226,327,951,323,
244,080,548,199,645,211,476,068,741,706,232,270,000,918,545,582,311,878,316,
614,370,691,333,455,424,720,826,576,440,910,435,086,039,424,546,351,920,640,
949,135,859,846,716,296,630,241,773,063,188,600,380,643,936,366,976,356,454,
607,536,036,203,330,700,888,905,436,418,079,752,451,877,117,631,631,783,512,
071,758,040,802,991,494,898,776,454,529,661,579,864,082,267,900,147,067,104,
263,389,697,881,465,109,754,844,255,820,283,285,473,628,114,048,222,635,438,
590,405,133,425,844,875,481,769,511,720,878,688,375,846,866,603,396,723,790,
770,110,187,185,784,177,579,391,575,851,608,680,354,102,808,374,538,172,068,
231,945,493,058,932,592,655,560,360,112,644,838,523,234,598,837,149,155,963,
455,693,265,655,096,003,852,776,628,322,723,689,776,538,694,095,865,673,102,
266,456,414,746,659,076,556,416,766,528,429,830,915,208,754,670,664,081,891,
636,021,354,950,939,916,370,333,263,832,023,156,586,805,005,698,082,276,267,
120,463,460,406,309,260,561,903,657,762,555,017,881,773,616,622,631,507,605,
221,007,750,570,952,115,088,809,959,282,953,972,535,275,942,923,616,144,849,
587,223,688,930,163,844,377,304,400,691,589,138,433,110,588,649,305,592,226,
527,733,246,272,596,895,904,171,394,680,775,991,001,754,643,223,121,651,707,
063,371,431,659,308,724,261,716,993,012,526,602,155,655,290,514,064,025,971,
509,562,090,162,625,995,963,580,755,082,690,372,675,207,575,927,475,927,161,
374,886,388,589,881,775,044,490,532,031,040,081,260,127,422,919,825,983,439,
514,454,353,352,891,153,009,295,992,824,397,863,554,489,259,281,177,499,721,
024,076,208,771,732,713,217,114,277,649,481,300,335,426,118,053,055,311,891,
038,173,817,751,137,160,355,100,124,142,536,361,341,887,730,627,103,489,600,
833,887,024,595,011,547,759,375,421,233,778,676,816,400,342,233,621,249,223,
011,626,461,863,158,726,168,099,683,725,106,018,995,545,908,700,223,310,777,
092,572,058,023,889,165,108,078,308,485,273,695,425,906,824,987,946,810,738,
800,850,132,172,110,901,718,421,221,020,058,393,715,370,201,798,437,335,497,
860,109,721,881,906,724,671,803,563,081,747,958,349,085,227,244,911,155,601,
657,752,169,478,411,663,433,554,526,431,384,682,039,964,152,433,775,538,619,
032,019,954,819,843,612,344,329,266,729,166,248,442,363,669,629,462,646,782,
648,360,938,976,494,831,870,039,416,003,609,645,496,382,540,637,605,607,472,
180,064,102,399,210,797,697,709,158,204,176,083,692,303,364,443,735,445,674,
585,337,507,601,337,038,770,880,871,222,219,747,103,118,787,841,063,444,538,
627,620,237,662,885,817,657,552,768,009,247,744,051,285,441,077,084,991,525,
997,826,697,051,861,695,227,037,228,465,396,284,663,004,413,452,239,702,404,
072,692,585,981,539,093,300,394,920,350,234,752,786,990,115,774,012,508,427,
295,219,382,353,246,669,724,405,005,591,804,271,174,169,946,163,254,333,323,
861,830,531,778,014,468,642,328,834,035,252,127,678,063,011,736,010,897,854,
631,006,053,226,255,138,097,889,958,405,837,969,238,952,109,057,073,594,246,
690,241,551,608,798,530,453,818,315,300,094,100,368,785,566,122,008,134,212,
968,200,279,774,616,328,273,993,611,400,037,825,596,041,706,636,300,650,679,
453,989,383,863,058,164,757,853,009,315,125,372,336,431,678,469,234,997,554,
045,205,322,134,133,239,091,815,421,986,992,072,143,767,557,838,844,236,266,
093,234,543,587,571,503,048,462,525,256,839,905,969,745,197,260,110,709,311,
128,678,519,258,197,438,966,428,206,007,248,456,670,732,739,942,708,529,778,
798,527,418,418,372,692,140,505,455,980,143,484,003,418,606,882,494,679,691,
154,716,299,859,804,866,854,051,636,016,568,579,934,326,382,878,352,740,735,
969,261,827,623,930,691,940,096,642,766,973,295,330,562,010,549,185,932,934,
393,482,403,098,517,726,561,322,340,263,378,724,327,033,265,075,929,893,862,
765,370,274,096,061,797,922,063,998,620,875,640,569,557,722,327,739,827,768,
150,552,906,208,085,206,415,921,729,045,071,282,081,702,724,429,836,681,740,
889,682,420,989,589,390,005,141,446,946,222,703,451,152,922,892,094,588,868,
496,215,884,793,860,068,842,576,760,902,520,921,624,119,319,744,159,641,790,
422,405,455,501,049,372,731,708,187,689,762,163,529,100,824,190,542,867,964,
578,878,655,238,293,972,570,425,348,163,780,711,714,069,259,177,643,504,644,
786,115,086,144,380,570,113,590,847,554,198,490,299,208,318,014,422,358,130,
368,924,017,207,309,538,362,675,325,904,340,973,483,481,728,840,948,064,184,
974,119,906,518,992,760,210,792,204,783,522,735,580,137,103,145,111,533,145,
151,428,327,693,007,322,563,671,126,119,214,422,190,010,134,556,101,169,986,
250,451,174,445,602,581,074,074,917,578,829,004,969,827,912,228,442,507,387,
153,423,054,359,103,863,372,930,210,360,426,263,619,239,222,925,288,488,938,
694,595,564,235,873,107,447,856,657,834,191,791,728,950,111,224,076,614,715,
644,825,718,071,948,130,679,176,831,748,017,696,894,567,248,870,752,182,085,
157,616,450,220,388,365,691,708,385,578,900,608,294,781,131,564,468,074,097,
484,158,686,271,576,092,286,611,644,919,211,557,520,286,981,766,560,967,299,
728,221,496,505,457,455,568,817,414,698,982,291,415,635,446,020,204,328,592,
595,493,134,539,487,934,365,133,963,077,799,463,444,501,937,216,853,489,734,
198,379,173,274,427,305,214,594,849,435,052,018,353,409,606,936,885,857,292,
023,643,457,346,798,325,500,898,923,795,098,284,430,365,856,860,542,090,322,
902,031,083,428,485,884,736,730,712,548,306,409,742,388,631,639,843,960,430,
531,374,832,638,052,196,396,393,485,741,415,572,567,484,070,272,903,479,489,
250,637,718,816,685,075,806,668,535,649,818,686,040,088,468,850,215,841,457,
720,985,624,296,408,073,576,269,240,473,197,803,839,142,371,078,741,139,670,
215,148,760,346,974,813,786,395,056,249,236,541,079,817,817,595,099,142,970,
408,269,014,042,541,753,362,682,975,366,545,397,285,397,376,999,278,106,316,
472,245,161,105,706,170,383,003,748,127,320,639,946,892,553,792,752,071,674,
402,235,266,348,278,338,574,188,327,625,122,193,081,648,362,534,628,262,390,
582,277,880,424,805,414,923,700,224,006,011,029,303,787,506,922,901,406,299,
401,918,656,494,702,665,863,183,538,284,676,329,664,934,813,984,961,161,471,
179,769,108,724,403,728,575,285,890,829,567,668,611,345,004,236,750,207,911,
033,962,967,044,043,741,326,600,944,194,110,346,568,449,506,667,484,119,466,
079,158,555,985,524,370,590,926,622,483,451,325,080,948,881,538,310,699,464,
853,180,828,248,254,310,834,723,727,273,778,965,634,402,837,693,680,481,848,
130,681,904,851,750,407,681,971,421,209,285,624,355,237,108,503,688,318,977,
830,044,499,357,852,108,031,891,753,067,626,311,657,403,003,542,948,690,006,
533,158,264,126,495,745,632,031,775,476,363,621,286,641,021,045,442,069,293,
083,679,726,780,461,220,063,084,558,555,528,974,631,443,997,687,103,739,294,
366,452,943,061,153,207,936,658,729,087,804,974,777,787,889,706,229,595,796,
183,890,270,500,728,183,762,264,055,882,956,718,167,437,783,370,754,333,471,
470,410,279,751,112,767,847,121,573,411,992,513,813,306,912,733,612,255,797,
831,874,417,957,725,735,825,525,428,615,862,741,783,857,532,924,126,955,449,
375,601,716,260,277,641,391,538,940,723,086,710,298,871,674,217,047,515,877,
174,969,466,943,554,326,843,359,668,362,378,280,454,318,351,545,252,883,976,
389,269,402,507,999,021,334,235,728,508,672,713,076,208,061,000,623,949,374,
695,102,579,792,513,213,360,842,286,877,364,106,348,512,144,990,946,687,882,
318,867,677,199,658,816,911,319,677,169,312,169,596,241,453,986,598,299,655,
268,703,032,169,191,857,330,273,885,612,693,795,232,450,817,008,040,803,774,
880,699,169,260,611,850,544,305,569,504,476,721,646,921,824,282,662,366,068,
744,567,960,130,041,621,637,958,497,386,888,286,892,444,016,929,025,749,808,
861,717,247,126,500,090,423,372,242,701,185,810,594,401,113,363,553,533,074,
917,039,603,633,526,182,097,446,095,335,098,850,581,634,508,484,055,438,535,
292,906,205,312,223,237,290,656,184,322,022,841,418,630,351,044,081,693,940,
832,166,351,702,630,714,019,528,923,884,694,719,574,222,605,165,633,773,562,
615,011,359,342,048,788,404,779,940,133,678,386,070,733,300,730,316,694,104,
535,993,697,727,480,811,428,934,079,977,218,711,993,935,411,691,994,190,619,
924,958,552,110,078,263,825,291,220,693,926,276,909,509,534,873,205,949,168,
814,192,218,170,747,394,999,394,344,411,955,392,879,260,664,832,749,677,943,
365,073,274,886,324,096,495,903,180,708,663,529,849,183,537,412,528,461,730,
734,038,327,376,852,797,738,935,611,525,039,809,988,959,083,178,401,611,542,
009,996,980,823,425,083,909,013,856,093,709,129,472,738,389,317,993,306,919,
454,574,790,313,393,991,607,695,028,705,595,282,666,741,103,985,694,752,466,
898,653,286,448,910,822,911,335,656,373,744,014,637,711,655,233,748,226,498,
229,950,924,254,250,967,834,345,049,888,491,821,201,571,632,820,732,898,762,
906,997,353,580,638,301,058,175,412,062,179,100,392,093,226,604,006,066,911,
735,897,477,335,850,660,223,195,948,233,125,598,592,161,972,490,249,603,897,
963,339,996,626,296,850,130,163,669,963,357,638,569,379,661,584,824,528,478,
406,296,765,115,938,249,097,521,022,656,396,366,009,080,418,095,769,050,409,
153,545,861,155,189,312,915,507,822,736,351,955,484,570,821,311,891,633,110,
145,568,361,028,032,217,432,941,750,980,641,209,369,732,592,851,789,554,724,
197,452,814,145,558,909,081,241,424,242,274,063,793,166,076,888,747,782,592,
353,055,419,527,154,321,052,276,160,127,851,703,128,374,333,206,934,909,628,
238,938,359,474,558,607,062,304,193,804,619,525,829,840,091,735,502,099,678,
791,073,220,096,866,261,762,077,978,067,558,720,497,552,165,691,293,742,080,
048,143,793,234,425,157,666,946,201,452,207,747,261,376,802,097,533,212,811,
994,082,625,255,097,599,902,464,728,977,805,117,205,910,594,512,967,778,456,
249,782,321,359,055,314,552,369,436,148,156,068,285,499,996,238,931,707,942,
351,890,757,418,786,854,196,283,389,672,143,216,463,445,443,412,262,373,930,
434,033,111,264,709,003,743,920,169,872,524,770,794,251,829,462,622,244,661,
672,684,133,611,832,066,750,581,549,918,594,007,333,657,490,847,517,329,573,
655,424,176,983,660,432,400,525,497,012,061,010,423,218,873,111,290,079,082,
864,877,776,244,628,308,293,621,835,355,417,053,234,151,735,940,173,603,978,
385,519,757,136,333,034,378,714,607,605,676,294,795,247,088,267,630,727,324,
152,604,444,170,009,206,779,253,923,765,554,719,399,412,081,352,148,849,523,
257,986,133,093,550,571,162,546,411,758,502,630,392,855,364,532,008,803,040,
493,450,461,989,558,751,886,260,790,644,405,876,139,084,890,302,819,879,590,
538,311,701,047,946,156,285,598,642,033,778,077,992,062,774,837,459,342,617,
811,634,294,479,483,355,877,081,941,040,272,282,421,976,250,126,936,391,101,
255,891,929,472,912,191,011,110,553,986,399,591,044,369,769,405,425,210,834,
426,420,322,463,668,065,623,861,350,469,268,322,287,417,919,469,514,642,166,
496,123,435,985,605,827,287,673,150,741,779,017,516,504,428,741,624,135,920,
627,662,521,890,256,426,587,998,857,982,454,464,983,811,180,805,531,504,919,
613,565,700,124,859,356,641,148,589,761,317,517,838,684,975,068,794,293,350,
597,099,552,981,493,144,872,998,647,100,951,606,895,196,020,377,404,937,487,
307,119,573,965,793,839,464,747,079,007,876,449,974,499,234,659,144,057,052,
243,092,607,562,638,246,298,029,038,864,477,676,539,336,882,780,878,249,578,
678,620,529,796,534,531,802,855,279,696,752,892,420,338,190,545,083,225,617,
045,719,914,243,821,601,818,819,447,384,376,747,896,781,266,321,561,098,057,
670,889,605,126,669,921,114,373,340,707,323,003,284,454,129,061,968,417,288,
881,183,888,004,429,254,688,814,189,581,949,542,100,716,761,698,122,387,153,
005,818,175,553,308,809,336,570,091,298,906,783,879,659,859,648,304,354,452,
303,770,983,121,574,423,856,423,909,826,485,805,560,607,232,886,755,480,823,
310,897,615,504,628,846,935,137,369,531,149,430,325,601,933,412,405,017,599,
429,985,102,820,504,460,787,638,664,006,018,093,829,730,821,468,685,145,724,
410,170,108,705,022,425,506,922,680,064,363,037,741,275,255,662,627,447,278,
501,798,471,454,612,010,495,732,721,510,114,195,736,317,657,882,397,246,931,
416,542,136,579,599,582,839,235,318,996,916,871,910,290,198,290,824,044,248,
219,174,748,149,446,773,519,308,726,196,165,008,470,255,189,480,133,490,554,
888,902,461,146,690,815,739,424,123,078,826,753,349,487,111,185,238,517,178,
739,774,007,527,062,956,902,913,777,980,234,811,832,703,926,409,427,478,838,
675,186,027,906,606,029,934,034,426,269,266,750,313,720,963,378,328,503,644,
434,298,530,876,964,949,553,970,835,308,622,264,416,986,540,172,141,361,900,
790,844,037,964,782,104,923,946,123,853,090,482,709,274,221,465,311,340,717,
496,180,110,175,920,370,078,164,356,378,405,700,958,901,049,734,862,991,056,
148,155,385,675,622,636,314,853,733,793,004,179,868,497,325,406,518,755,051,
069,010,290,571,389,994,133,310,042,937,771,923,695,232,864,932,077,450,420,
693,091,285,537,445,615,750,890,778,387,842,736,223,898,816,858,321,132,306,
253,208,947,572,643,451,731,310,186,332,274,489,958,111,459,987,924,898,599,
302,836,999,347,777,988,065,536,277,412,121,046,293,029,761,308,203,051,772,
251,792,487,084,128,172,507,543,333,958,783,819,108,324,145,478,674,932,948,
418,050,035,761,651,893,783,470,750,398,175,891,449,600,519,647,275,656,745,
527,578,487,780,985,990,813,474,607,311,760,586,179,180,730,676,627,785,397,
568,357,914,696,369,584,845,186,292,438,880,111,645,996,470,681,385,789,095,
566,438,098,502,230,178,285,739,775,519,576,148,871,711,614,131,647,966,468,
722,077,837,356,905,212,267,898,920,113,724,016,138,986,597,926,762,456,758,
384,556,036,343,866,137,967,841,242,903,677,365,915,341,344,210,108,387,363,
950,797,247,058,081,358,716,623,498,410,753,055,584,852,218,613,726,352,192,
591,637,255,549,495,538,335,833,211,106,021,237,483,782,599,959,132,806,456,
542,297,178,028,496,267,278,649,125,643,518,025,134,221,933,398,839,386,099,
799,036,578,646,852,534,210,447,064,634,326,545,001,342,771,065,295,972,499,
912,997,503,116,212,558,748,819,785,357,265,634,223,451,312,298,798,890,166,
955,158,591,218,760,782,096,718,070,116,232,801,727,800,067,281,492,860,290,
025,562,273,492,774,062,631,300,169,822,729,127,574,697,388,151,716,610,401,
819,010,417,858,191,814,997,263,025,618,610,507,919,009,802,445,832,361,114,
983,688,962,419,270,686,204,061,439,173,092,594,514,879,758,271,719,911,255,
630,942,306,519,334,868,490,625,471,447,025,992,805,322,967,828,586,462,668,
727,666,005,640,164,207,539,747,747,607,204,472,411,884,330,887,625,699,126,
197,275,286,800,940,102,017,418,240,419,007,831,876,637,401,563,803,847,165,
416,139,457,707,998,522,541,717,376,598,213,689,422,691,489,836,222,303,065,
161,140,129,818,273,334,432,727,605,270,666,594,469,974,345,863,115,358,907,
361,457,063,155,322,373,447,310,710,931,428,469,718,675,568,602,078,795,680,
832,698,981,414,704,086,884,122,796,194,546,587,703,437,591,452,397,277,951,
644,183,565,304,670,076,843,950,786,112,931,972,093,484,077,845,994,936,476,
476,397,075,011,986,346,560,847,983,668,543,639,363,649,491,819,163,712,878,
869,522,828,410,164,047,550,794,811,734,931,578,678,263,464,263,645,023,733,
541,064,140,846,396,885,087,232,746,202,427,644,340,280,629,140,699,854,433,
112,382,240,146,836,779,676,987,231,586,767,038,407,807,736,617,982,920,040,
902,416,439,428,737,480,735,301,856,604,958,353,930,197,362,979,015,607,116,
820,461,942,013,736,529,677,530,783,255,342,921,185,704,308,310,444,615,956,
094,511,124,092,696,782,749,140,978,488,891,700,516,090,007,078,474,444,936,
690,201,167,964,798,970,486,849,301,019,816,731,491,708,666,095,660,227,504,
170,481,425,380,431,513,064,167,704,837,470,833,767,449,391,315,971,965,446,
213,847,547,149,266,411,371,950,180,734,432,864,350,188,690,087,845,054,957,
859,653,254,357,937,945,574,372,353,348,710,472,490,137,938,015,908,550,005,
523,342,427,377,845,963,818,175,963,883,376,900,112,314,269,234,592,339,726,
955,733,842,671,423,813,215,694,348,578,328,502,821,222,508,694,469,708,791,
726,570,916,115,324,246,827,236,339,851,614,631,583,367,667,095,885,597,061,
725,706,657,533,853,533,978,309,481,365,236,855,335,118,226,046,362,966,168,
504,953,053,404,832,415,252,407,944,817,177,801,041,036,834,847,167,084,368,
478,778,092,984,089,180,462,580,510,473,867,729,573,751,683,226,789,527,999,
066,215,837,843,503,832,992,077,753,719,300,969,251,287,004,187,837,495,605,
593,337,671,272,068,695,211,216,228,412,204,286,640,482,211,560,669,811,672,
552,643,186,026,088,781,766,243,897,073,681,216,121,491,780,197,785,839,291,
520,372,741,859,211,893,974,291,182,338,391,296,908,873,215,704,402,711,058,
197,354,565,570,759,242,422,544,181,956,119,532,252,887,734,052,173,725,703,
155,817,507,408,340,624,793,734,765,122,375,874,462,139,781,775,186,965,636,
893,976,390,051,974,028,364,640,076,738,026,486,739,867,845,383,247,710,809,
690,595,806,282,539,309,556,130,150,965,574,614,650,465,585,195,347,897,933,
708,230,603,673,991,749,458,552,830,428,500,087,706,438,537,973,545,860,676,
367,224,155,225,611,101,514,955,508,542,920,947,742,179,214,397,885,951,531,
337,684,732,596,442,504,269,737,973,295,511,328,371,832,172,184,727,656,184,
247,949,363,237,023,907,194,058,619,033,013,013,265,950,919,120,490,257,312,
394,660,360,714,889,836,096,148,027,355,467,809,210,536,287,545,141,046,092,
433,500,325,341,849,131,471,296,438,113,203,786,495,430,567,442,198,158,086,
849,283,507,823,036,716,526,051,977,403,206,763,888,733,003,045,818,915,024,
109,208,544,631,658,075,433,626,581,492,712,768,921,839,772,941,420,142,963,
788,637,926,560,229,739,071,496,034,634,438,606,278,037,793,426,679,145,761,
426,324,986,543,460,371,336,862,166,431,485,378,684,691,320,649,165,610,853,
087,199,420,007,026,906,726,892,388,727,708,082,165,086,666,365,336,480,895,
436,539,194,068,222,505,943,745,082,482,317,992,211,410,314,663,318,601,447,
170,883,670,081,777,564,689,738,751,973,140,804,792,143,072,313,471,267,211,
854,189,335,625,133,474,522,803,488,654,701,199,969,911,368,378,591,673,073,
273,267,662,039,522,597,780,868,643,191,826,246,632,411,505,804,974,801,620,
881,292,337,723,774,209,708,928,948,520,523,904,079,784,235,803,354,828,320,
841,518,367,878,071,102,609,921,252,559,830,123,701,710,096,221,744,056,247,
704,724,040,711,389,812,693,485,368,231,542,606,127,901,757,559,485,173,373,
919,353,377,360,741,644,245,705,310,535,171,175,076,284,862,450,248,134,144,
974,146,724,908,999,081,831,593,852,653,884,916,941,717,299,861,636,760,905,
926,013,600,346,971,566,953,818,387,843,926,574,271,950,333,154,491,646,469,
332,072,915,531,833,660,641,185,511,144,957,232,303,742,664,174,372,397,243,
258,417,999,705,496,509,434,522,103,285,164,052,643,886,133,714,463,587,344,
660,764,147,069,058,551,411,965,305,373,645,047,000,909,562,459,358,042,148,
596,696,186,149,778,552,626,512,976,265,700,742,760,535,568,115,358,686,584,
354,548,298,233,669,430,206,869,897,619,633,049,607,490,056,502,432,604,344,
986,052,926,096,048,535,829,425,377,864,615,722,488,920,339,136,899,835,268,
505,330,642,125,397,044,017,183,786,214,946,614,893,416,968,198,223,561,796,
516,977,788,482,266,597,383,139,354,090,456,863,254,304,222,249,833,583,396,
610,877,940,285,977,474,766,467,540,989,085,224,090,571,850,415,608,699,061,
864,166,062,417,270,513,951,898,138,196,228,914,991,601,394,657,843,396,178,
208,160,206,097,731,641,242,029,079,200,552,165,336,315,737,250,881,061,504,
534,681,368,587,143,081,821,450,637,874,032,825,446,259,799,162,763,844,050,
569,483,748,092,929,057,985,148,783,747,065,896,351,480,040,502,020,286,798,
333,446,650,109,280,211,061,953,915,395,886,421,781,563,890,578,669,771,205,
792,235,768,859,557,486,668,006,556,923,586,645,828,307,776,837,625,280,728,
418,792,737,571,471,927,147,280,461,370,866,026,849,754,636,972,957,252,593,
849,937,479,408,021,587,548,913,220,912,519,169,994,203,791,444,535,327,440,
692,823,365,057,266,774,203,653,094,823,123,554,622,704,223,472,142,333,699,
771,043,731,948,500,894,796,309,237,750,054,603,234,892,441,000,979,568,698,
602,801,979,278,398,235,265,102,931,305,064,925,091,935,752,792,951,429,810,
685,740,051,670,055,836,221,192,078,224,383,047,956,677,750,117,689,377,378,
758,290,471,450,411,467,119,985,561,950,198,628,765,152,313,318,784,279,190,
211,479,894,304,617,806,894,459,035,555,738,170,850,777,428,853,599,049,711,
618,039,660,088,138,008,790,864,138,126,083,202,504,546,384,851,201,149,186,
362,594,009,212,084,052,526,455,142,037,092,160,745,196,365,634,521,661,069,
975,119,675,928,670,195,196,779,410,362,704,198,090,046,421,904,303,948,959,
716,513,849,094,247,548,678,633,016,600,983,942,384,884,446,173,238,026,723,
111,032,972,312,171,115,815,985,063,905,193,726,542,452,203,947,880,884,348,
476,356,669,278,749,641,869,718,556,146,093,933,735,844,327,824,511,777,001,
446,715,721,210,384,074,311,293,200,038,571,501,152,043,069,383,747,598,479,
447,557,122,647,122,046,158,551,346,360,991,277,989,039,516,656,798,054,401,
234,795,861,754,797,563,394,723,226,694,202,869,396,660,476,677,406,133,497,
422,980,776,762,576,983,473,692,088,088,952,404,295,674,100,618,677,974,985,
671,342,948,421,943,813,117,128,744,699,894,802,595,312,119,840,878,296,175,
598,603,239,558,948,248,789,076,790,198,052,217,154,929,656,655,521,477,428,
320,618,269,873,957,722,118,844,059,676,554,044,888,496,447,274,157,711,260,
021,604,847,490,671,182,654,418,902,260,158,104,638,592,349,729,243,476,941,
466,325,755,531,325,718,817,754,117,377,423,858,434,611,366,223,193,611,798,
568,864,282,302,894,850,712,152,851,084,867,937,397,991,994,393,772,516,653,
102,526,615,343,025,929,519,166,204,892,215,954,753,847,222,652,551,441,087,
588,039,275,751,174,174,334,403,184,862,213,409,321,389,023,344,374,772,664,
911,667,689,691,804,761,294,899,489,500,171,159,555,474,114,087,469,182,107,
333,143,617,317,853,469,386,489,798,870,751,500,062,282,527,044,274,602,073,
501,827,370,774,741,568,377,673,434,282,715,390,298,979,606,815,366,365,358,
910,986,745,939,027,806,596,200,119,802,437,848,780,262,442,994,521,513,705,
975,782,493,493,341,486,424,850,617,720,645,466,416,807,282,741,117,503,919,
448,357,284,562,736,286,227,869,782,520,184,154,242,529,327,128,207,877,292,
483,026,607,019,347,520,879,499,305,566,441,811,971,669,998,385,542,301,468,
579,342,968,107,387,995,967,855,623,538,343,247,278,761,911,029,112,005,475,
476,974,185,381,204,267,552,056,188,498,305,831,691,761,196,386,213,984,011,
723,994,687,694,025,230,030,677,431,768,553,095,634,940,432,750,009,528,613,
895,581,931,508,925,116,951,015,699,432,019,679,574,929,974,210,656,090,516,
820,976,133,592,625,002,879,812,736,612,055,996,309,065,837,730,247,003,294,
834,165,991,395,674,324,620,419,120,244,182,666,350,505,433,977,997,976,352,
616,129,205,365,422,380,551,308,486,856,865,652,992,516,203,593,798,918,865,
551,350,627,545,651,020,942,840,959,949,278,860,752,989,986,984,883,105,621,
884,708,226,124,652,344,943,204,531,443,332,252,832,824,839,578,700,878,757,
512,918,142,753,560,293,915,576,118,865,039,084,794,692,395,288,781,717,452,
865,360,994,108,278,113,661,257,583,157,567,315,773,699,266,011,995,265,259,
074,843,149,344,956,153,364,883,004,611,737,621,160,668,926,459,994,734,731,
423,232,323,469,853,262,311,270,778,362,822,169,821,751,943,452,555,111,665,
245,046,133,017,925,928,333,569,598,908,545,510,958,002,454,216,065,338,210,
410,344,356,090,400,325,804,451,735,256,383,078,917,565,987,201,407,934,980,
007,027,766,049,195,657,945,714,903,227,885,837,385,516,190,293,574,683,399,
781,037,680,528,943,985,043,453,874,756,577,392,536,292,509,897,834,883,075,
528,273,277,380,738,766,026,743,861,510,006,548,639,853,662,893,158,005,755,
796,856,479,808,704,072,399,195,796,966,393,334,876,267,491,509,533,149,773,
015,802,905,024,220,030,332,559,181,358,719,888,802,575,433,389,754,411,727,
610,320,940,082,231,455,852,968,027,337,253,852,989,604,777,879,979,577,890,
989,184,084,727,989,241,571,429,965,950,343,363,213,528,192,535,173,191,800,
327,380,938,093,982,363,879,540,259,905,286,720,975,155,540,293,495,064,060,
099,297,577,251,234,450,891,889,375,035,062,906,724,172,958,909,952,034,248,
230,845,605,716,837,903,898,060,211,487,888,399,569,869,217,668,977,162,922,
691,416,023,976,066,859,716,680,550,943,058,801,301,321,982,788,908,065,741,
218,701,901,705,332,242,968,236,292,057,605,168,922,249,698,564,216,700,614,
262,226,228,253,483,626,080,234,112,501,777,432,019,401,324,448,272,661,171,
503,913,057,428,505,985,105,408,716,691,865,747,198,850,169,043,723,609,289,
329,370,090,913,091,821,269,127,076,363,607,627,726,027,332,753,124,988,270,
886,322,314,344,995,493,278,025,860,552,362,763,131,824,626,541,869,612,585,
501,057,504,666,406,824,773,632,446,097,329,325,904,848,025,752,171,001,800,
070,977,037,271,315,335,685,829,506,332,618,660,401,532,460,273,971,430,916,
187,204,465,572,198,929,065,342,012,579,568,583,181,901,544,238,801,839,149,
525,138,967,604,026,507,498,161,742,058,914,600,984,996,659,450,767,754,708,
230,155,968,141,956,365,847,294,405,464,596,629,146,139,685,800,657,695,680,
597,268,153,370,801,157,703,917,864,010,223,698,052,749,984,938,668,159,012,
518,338,308,650,744,000,493,689,121,054,109,130,247,311,014,549,413,704,231,
128,223,828,708,744,818,117,255,146,388,332,379,627,228,819,898,022,481,049,
396,881,377,743,949,613,226,210,965,241,146,796,828,708,935,882,710,260,802,
592,713,017,844,794,987,694,739,737,494,985,433,026,121,589,101,693,503,177,
572,955,203,299,540,619,416,576,640,881,657,891,160,833,483,217,051,237,208,
250,106,618,039,234,317,279,911,497,918,762,952,000,218,852,885,174,185,332,
048,933,468,247,413,488,538,903,992,329,179,356,022,589,073,138,371,906,804,
732,997,527,209,940,345,433,046,734,991,477,538,405,580,765,237,230,608,407,
772,509,833,382,794,281,866,628,265,009,029,542,550,804,651,512,446,688,696,
038,978,664,135,631,002,955,739,662,956,405,494,748,162,888,589,169,574,427,
896,891,613,768,999,116,444,954,570,150,498,123,559,509,039,979,895,655,218,
282,300,756,861,477,398,518,208,611,657,446,351,990,774,787,003,025,900,080,
744,929,771,627,513,578,336,986,528,821,275,862,306,077,773,947,154,536,667,
405,482,361,008,279,972,445,665,156,433,471,406,852,920,677,822,697,881,842,
202,321,664,016,308,267,556,176,257,747,663,836,504,469,258,622,645,268,985,
130,084,193,035,344,657,905,130,009,720,611,681,637,277,692,573,092,225,674,
443,426,104,307,254,024,228,596,165,829,522,860,850,298,542,821,936,455,987,
956,246,555,640,903,102,157,478,416,430,853,620,933,518,102,257,650,995,919,
653,632,428,894,461,158,835,843,904,994,125,215,158,572,862,428,830,256,163,
360,217,515,693,822,591,721,631,826,880,043,947,787,362,501,320,378,620,490,
434,929,757,198,157,922,238,136,778,997,604,983,763,730,709,219,452,628,884,
977,416,667,663,505,600,607,091,377,709,859,110,284,597,828,068,235,532,219,
069,161,003,889,150,462,179,727,129,805,174,548,864,114,989,447,029,784,659,
919,283,918,916,330,024,132,127,812,645,045,778,636,185,123,819,824,773,271,
214,195,112,393,769,819,313,831,702,365,613,557,355,300,210,106,279,113,991,
495,112,273,375,147,168,760,520,754,096,860,623,268,181,288,515,079,971,547,
706,995,386,210,063,751,922,209,619,367,059,904,720,657,606,136,731,427,514,
044,713,815,847,367,831,072,830,784,529,187,224,582,147,990,419,383,308,526,
545,803,364,327,535,837,030,218,225,218,246,400,752,398,219,091,473,653,569,
707,501,717,157,027,779,043,899,968,719,796,517,581,046,856,819,028,176,480,
831,720,890,381,300,874,257,136,949,379,025,871,300,744,794,093,062,081,103,
708,236,982,875,577,673,458,226,764,723,121,714,459,354,136,492,854,040,807,
415,140,885,707,708,054,323,382,050,856,019,526,188,938,808,101,122,645,682,
141,232,329,220,548,274,070,218,607,902,230,930,505,400,793,275,942,909,109,
511,355,791,953,234,111,697,422,157,839,161,149,057,933,945,034,855,356,864,
795,793,433,788,466,042,587,371,501,297,226,270,189,102,216,740,128,250,441,
064,301,865,363,691,462,310,745,406,364,040,392,695,878,950,443,037,134,651,
897,520,836,314,840,521,957,868,637,157,287,430,483,284,714,326,574,657,406,
583,469,087,989,288,230,065,864,064,024,773,927,683,193,904,923,580,601,302,
005,423,943,074,701,671,491,293,974,082,182,627,697,701,049,902,877,257,462,
146,569,984,072,246,727,662,608,814,364,868,831,891,144,614,573,879,492,630,
711,099,659,434,959,388,236,682,252,708,456,977,476,346,804,903,308,719,391,
964,166,378,165,085,879,069,668,937,032,120,817,577,784,143,588,570,184,313,
637,086,505,190,516,108,838,033,344,001,976,494,093,038,234,004,514,911,555,
270,506,952,126,615,020,484,951,377,590,729,444,608,695,278,611,864,118,593,
359,943,821,763,525,144,880,665,316,453,248,336,383,279,323,742,271,571,876,
490,669,340,126,189,984,009,048,428,628,769,522,819,583,786,498,098,306,665,
158,235,586,302,582,289,003,757,773,714,129,239,289,323,918,817,683,361,332,
920,468,565,097,488,897,759,447,044,762,751,920,928,964,906,651,542,652,953,
866,647,862,090,078,844,327,478,642,169,992,303,456,087,254,522,452,589,768,
098,221,380,207,686,924,390,309,672,375,787,820,614,581,341,518,168,097,912,
674,917,257,085,228,868,997,662,783,081,936,416,726,169,700,879,719,018,070,
365,464,101,700,117,909,676,926,368,876,638,427,423,642,979,564,257,546,211,
898,579,468,675,247,629,570,128,419,325,837,533,832,539,998,687,844,107,045,
703,839,321,991,719,840,314,259,719,654,237,346,647,819,058,647,476,389,351,
034,060,627,776,922,921,344,924,137,768,708,460,581,089,189,851,774,951,659,
447,677,121,389,161,112,047,598,981,822,071,105,664,761,137,003,749,059,386,
924,007,234,368,129,961,001,622,955,170,558,639,215,866,141,599,720,991,079,
306,196,352,758,550,662,603,533,645,495,833,222,487,121,835,014,314,834,218,
271,473,765,715,271,849,534,229,721,521,725,405,204,304,944,457,269,084,972,
007,143,882,835,668,506,690,123,960,202,797,604,926,153,676,505,607,538,332,
550,488,796,620,396,638,001,881,340,070,587,445,046,208,376,827,027,260,604,
909,034,984,038,373,471,232,075,899,510,744,437,303,521,750,358,022,447,466,
972,861,358,343,333,807,026,306,564,074,957,880,472,299,782,454,729,430,185,
542,629,265,043,266,133,366,337,688,450,305,241,121,467,909,032,205,255,836,
577,018,753,077,927,331,699,601,426,138,933,659,517,865,872,155,693,586,699,
678,460,884,337,894,489,247,382,267,051,614,197,206,351,838,313,863,529,968,
729,088,759,545,087,575,124,045,694,935,839,091,780,614,632,985,628,410,470,
596,660,713,805,908,221,917,310,126,207,404,989,204,116,736,547,368,103,597,
115,085,501,869,304,999,159,183,508,312,774,874,381,706,211,210,073,449,504,
703,097,053,529,721,465,101,064,554,189,482,675,454,035,597,931,938,684,143,
928,852,618,160,403,362,513,424,993,810,113,211,920,587,828,643,707,695,036,
540,607,656,204,103,959,212,665,087,758,256,303,537,851,279,906,339,303,214,
327,054,244,971,889,784,446,020,469,815,350,752,821,807,722,019,437,731,182,
299,442,245,733,845,258,500,027,028,482,723,756,062,019,576,245,331,548,727,
094,406,569,219,677,534,114,476,491,748,718,479,950,418,114,493,305,255,593,
182,406,233,730,271,953,442,384,138,066,724,358,086,237,592,106,050,588,978,
351,081,083,285,108,892,332,466,793,244,401,520,740,912,643,215,366,117,521,
503,470,363,322,263,230,394,419,433,973,630,579,045,155,049,580,844,458,826,
439,480,198,209,247,857,601,854,328,690,686,227,093,281,756,981,305,693,103,
831,269,512,481,707,733,799,750,797,749,517,619,879,328,601,314,351,103,008,
775,042,460,313,614,118,369,388,166,223,494,086,635,734,744,182,968,636,763,
168,173,720,533,407,561,618,923,867,223,414,871,793,692,732,649,264,360,279,
816,134,174,124,780,986,248,618,133,832,040,443,917,007,885,082,263,020,607,
395,116,251,997,837,742,329,178,175,392,008,968,807,999,424,115,555,075,821,
400,050,495,982,757,404,292,300,236,454,477,129,293,889,076,981,435,401,529,
386,411,785,459,889,719,703,967,510,748,390,219,266,826,632,274,867,389,160,
184,360,798,245,935,589,191,022,814,099,913,011,693,885,345,132,609,609,520,
391,659,859,083,426,127,073,676,553,120,591,526,778,932,324,661,315,472,132,
851,216,696,865,150,438,547,936,637,191,908,193,936,308,030,659,638,176,555,
441,214,301,484,149,990,800,136,482,914,540,983,967,253,668,822,604,309,584,
325,196,913,479,606,370,258,434,019,886,402,516,378,328,232,574,824,264,094,
881,530,888,034,413,200,804,616,900,065,050,679,383,418,985,567,342,664,796,
954,684,623,927,549,043,296,250,311,936,834,092,350,869,272,518,885,709,446,
570,289,945,399,144,512,581,215,927,276,243,912,626,080,799,879,514,991,255,
273,870,141,366,008,455,650,790,126,734,707,925,297,976,395,573,774,434,686,
525,097,417,200,766,797,789,355,063,396,956,755,105,452,494,518,077,056,536,
796,075,051,178,238,168,163,688,480,915,634,790,489,945,864,087,816,308,711,
627,572,062,359,722,476,539,538,257,075,057,296,780,343,075,282,151,622,300,
612,208,108,534,110,181,204,876,383,063,210,379,868,367,756,334,732,938,331,
604,517,318,386,153,003,511,445,709,957,104,227,792,635,648,431,588,227,126,
393,616,952,613,621,051,942,755,185,705,721,325,335,670,855,970,881,926,064,
225,642,408,793,101,077,931,864,116,549,321,733,566,545,338,140,251,579,516,
858,484,538,443,751,418,299,697,006,184,329,278,173,248,898,217,171,289,728,
935,309,714,270,470,089,296,611,948,640,147,234,173,499,700,052,442,455,335,
150,910,458,827,607,188,005,134,918,097,804,734,901,271,272,702,399,362,916,
604,475,160,799,741,928,136,309,101,658,622,693,282,110,296,560,012,194,591,
143,078,838,610,888,366,624,025,617,432,032,652,966,960,117,188,672,878,701,
559,586,021,828,636,395,402,607,051,554,175,199,927,296,762,503,856,719,059,
908,752,079,475,520,217,982,996,653,313,135,126,440,261,739,261,523,985,438,
204,721,401,821,395,183,047,526,552,487,636,314,182,060,587,627,354,476,699,
834,393,436,822,731,228,223,209,405,509,536,933,145,594,175,944,536,398,588,
006,466,167,583,318,674,233,762,192,811,069,348,443,207,295,867,435,262,008,
165,249,190,829,735,157,736,720,858,081,863,197,856,788,787,837,029,068,506,
558,960,384,647,133,463,269,227,659,931,887,250,334,051,377,095,771,034,761,
469,502,517,227,831,040,984,478,100,140,460,502,725,612,594,603,404,106,076,
453,268,709,380,566,357,042,773,284,485,910,298,253,008,158,784,604,756,554,
022,481,091,211,060,024,177,182,239,330,316,083,558,790,397,729,751,627,090,
236,125,899,140,853,059,489,576,710,320,036,353,580,679,838,004,200,848,544,
190,242,925,026,491,363,835,497,431,318,875,832,276,173,321,549,554,073,115,
228,882,973,648,317,127,429,282,261,481,733,802,790,334,067,055,627,696,482,
012,279,214,691,039,337,498,448,854,634,995,653,024,164,166,457,467,697,892,
663,668,574,473,401,423,324,514,716,060,114,938,465,946,238,472,233,904,576,
301,070,166,810,892,157,016,874,391,981,317,030,074,411,321,839,569,294,553,
598,472,697,730,620,061,684,493,862,006,396,940,585,120,708,392,907,091,475,
965,858,608,854,643,718,519,303,816,292,296,618,894,869,625,731,327,792,761,
058,065,689,431,050,136,468,123,981,018,504,885,887,812,261,560,565,937,341,
483,804,419,854,628,705,316,971,620,422,420,979,888,508,961,142,375,637,770,
751,570,798,308,099,948,139,500,691,989,021,116,863,281,459,352,524,804,931,
881,112,716,656,227,526,220,821,140,011,543,809,025,630,489,432,962,555,313,
221,096,880,433,483,909,548,553,816,363,306,748,826,500,309,606,688,734,453,
954,026,880,178,053,395,640,356,431,353,251,560,715,016,623,761,365,907,304,
219,619,713,557,762,692,776,245,823,505,587,450,274,557,262,464,981,728,295,
268,282,156,323,296,537,356,816,261,463,334,724,313,120,937,664,808,842,606,
116,748,522,401,097,471,024,588,540,545,507,262,064,543,188,633,598,118,153,
518,208,151,672,946,932,797,602,765,496,700,490,850,413,383,045,943,657,902,
607,395,868,126,290,911,698,687,423,847,564,386,948,241,314,110,810,692,800,
141,600,975,549,848,608,731,185,144,105,238,715,026,869,315,919,637,067,513,
645,139,769,704,989,075,116,066,317,183,687,168,027,356,426,015,648,712,858,
339,942,951,951,925,456,380,508,072,204,136,363,865,520,950,408,505,554,478,
122,348,371,078,977,989,487,007,726,212,108,698,256,690,460,286,682,653,268,
090,057,073,471,915,366,687,819,754,189,967,634,677,683,928,988,803,648,632,
354,551,952,268,680,988,927,818,926,200,914,522,478,378,302,458,283,508,641,
272,800,026,037,967,174,235,498,726,746,136,271,105,075,146,895,037,477,488,
938,945,260,029,496,040,101,903,888,864,908,114,724,954,669,426,357,824,523,
968,366,032,514,307,991,321,762,647,962,724,548,327,500,170,699,622,042,801,
114,802,692,794,476,487,974,245,368,723,544,644,259,953,017,579,922,617,209,
012,396,663,913,872,420,440,044,128,441,455,306,897,594,877,990,399,580,805,
004,183,345,651,575,362,355,480,367,891,940,720,195,750,636,512,378,923,733,
135,317,276,001,496,366,246,721,230,729,545,029,290,847,082,499,660,898,364,
887,870,183,267,952,151,980,969,359,592,335,905,316,987,161,353,666,027,701,
431,949,529,236,342,306,915,524,481,124,326,696,103,928,769,120,010,670,165,
498,146,439,766,803,724,527,371,391,560,358,830,608,939,415,310,610,096,972,
696,453,817,452,216,668,218,519,655,025,843,883,055,707,358,149,543,605,478,
224,368,140,200,673,195,303,645,165,043,635,789,046,005,494,239,664,037,843,
173,356,229,300,424,405,971,812,675,944,100,697,329,091,140,947,901,823,665,
184,733,771,424,092,725,579,470,033,074,929,155,931,910,644,896,030,411,804,
676,127,831,688,823,887,452,120,200,790,950,706,951,239,397,232,629,625,742,
241,070,727,444,584,123,617,940,774,025,003,375,740,154,511,376,627,928,341,
624,372,589,857,002,151,410,080,625,282,903,571,767,840,684,723,598,221,493,
336,503,536,270,812,042,067,059,874,900,956,733,796,735,307,134,011,314,455,
648,701,932,105,348,240,485,070,352,415,939,839,398,680,435,003,040,615,460,
824,768,689,112,274,396,097,849,464,955,156,839,041,838,091,578,771,581,597,
882,519,945,832,346,209,667,444,746,691,477,787,569,677,040,506,571,671,447,
725,562,941,462,926,269,310,480,086,174,266,576,026,891,484,724,648,197,640,
365,869,960,085,427,937,433,580,901,838,314,919,781,487,199,312,437,735,922,
480,987,802,173,230,427,084,543,808,107,868,986,768,089,744,967,591,205,551,
161,697,719,061,269,945,673,312,138,213,061,101,235,287,604,638,076,192,742,
665,772,563,281,297,472,837,476,467,918,868,833,287,043,655,308,716,287,153,
243,538,376,199,487,509,370,163,136,799,185,840,822,922,860,362,970,430,583,
309,686,689,100,281,851,052,544,857,933,752,874,232,934,712,315,919,239,964,
468,537,128,560,460,872,698,591,908,496,241,408,807,487,517,660,443,585,813,
503,474,023,358,006,912,160,800,692,331,508,785,705,008,850,601,423,977,890,
444,947,375,724,961,673,939,154,022,170,700,790,272,311,749,515,293,926,068,
552,010,342,420,446,423,123,500,414,064,839,405,011,439,502,559,276,530,474,
071,801,232,912,974,620,721,309,159,983,690,642,422,022,491,426,719,721,689,
263,388,916,318,725,065,702,291,123,467,686,683,246,622,173,123,496,501,933,
149,504,917,286,028,580,631,748,715,707,347,855,128,304,491,068,983,899,221,
673,999,565,189,659,270,712,326,779,298,274,003,965,421,643,956,011,534,959,
558,243,256,019,811,663,262,254,600,919,379,087,976,201,584,104,591,848,543,
132,709,769,274,413,205,771,502,798,856,292,352,135,277,832,848,724,173,660,
137,511,721,161,785,329,012,808,284,745,532,377,811,438,773,109,942,910,962,
949,813,896,742,321,144,548,767,261,879,867,131,509,260,481,286,538,851,169,
440,326,487,768,900,953,542,984,296,177,395,774,623,216,941,658,165,020,629,
260,426,907,524,463,279,481,243,473,763,501,928,889,046,708,033,482,667,771,
517,696,846,702,098,807,658,751,803,308,916,199,328,323,174,809,887,148,125,
798,827,816,041,419,579,876,479,757,988,878,246,607,904,596,060,401,616,914,
969,277,097,417,517,627,025,446,548,640,534,290,401,875,833,863,242,378,809,
879,950,719,657,554,894,501,819,512,419,511,441,662,583,739,622,120,964,642,
049,067,735,583,509,274,176,266,869,584,662,986,471,381,933,561,647,478,660,
745,406,554,596,249,892,658,636,796,265,039,488,449,058,130,307,103,980,755,
605,496,832,953,791,311,690,347,729,050,397,613,839,901,860,577,699,348,275,
694,535,963,322,849,810,901,920,575,418,904,809,065,264,934,366,510,511,663,
775,487,721,544,850,020,437,055,129,894,835,145,411,088,818,732,482,252,816,
390,831,967,446,340,093,748,102,384,482,911,309,006,235,851,056,931,104,713,
874,152,334,871,169,478,988,690,271,644,567,989,234,102,513,671,497,361,102,
311,233,398,411,817,190,509,071,651,757,737,669,886,644,575,900,052,331,559,
443,416,790,760,040,744,805,200,391,664,465,360,533,208,990,472,359,830,435,
415,143,809,524,933,842,912,208,434,032,446,274,605,074,429,674,760,096,641,
640,926,071,978,419,358,914,860,975,974,117,880,496,745,888,533,766,982,969,
947,965,154,152,900,201,782,106,617,168,381,199,603,274,959,153,666,849,001,
780,208,872,009,815,695,872,659,054,776,650,238,882,018,167,664,550,014,511,
724,878,585,575,753,890,002,562,426,278,946,102,405,222,064,562,539,057,689,
829,749,925,953,641,085,049,507,237,628,540,660,553,027,652,926,990,575,009,
728,683,228,314,717,768,673,985,314,576,386,053,374,450,167,428,071,925,989,
996,511,892,820,403,191,781,906,574,069,070,289,991,659,094,924,394,882,462,
545,475,367,614,942,626,434,619,746,758,942,281,200,040,762,959,051,241,263,
532,974,363,171,307,567,621,149,349,517,174,233,767,260,218,403,015,904,788,
612,153,076,580,830,091,947,220,121,373,708,231,868,670,666,397,889,820,172,
069,510,134,960,183,507,306,443,544,380,234,106,648,250,718,463,330,023,587,
739,717,430,138,653,352,163,361,047,010,384,287,097,829,501,991,874,319,336,
239,315,919,707,310,348,890,793,982,368,909,461,801,430,957,214,762,865,496,
128,521,854,971,339,950,768,378,822,014,228,526,372,182,136,627,416,069,964,
123,888,425,729,375,686,993,017,752,577,417,314,846,269,068,745,286,929,881,
225,201,908,525,964,215,711,709,854,735,442,295,984,772,792,547,740,452,491,
629,600,411,623,651,905,577,641,971,025,248,881,653,131,678,649,009,272,560,
325,462,828,653,467,934,056,624,347,105,774,664,931,246,433,818,125,785,577,
642,214,538,450,251,772,598,667,797,805,193,874,536,599,102,272,741,971,258,
234,920,851,834,868,763,847,647,064,585,275,630,956,900,694,770,901,525,299,
557,049,588,547,761,628,849,623,989,496,238,776,612,596,487,352,127,708,869,
149,735,914,220,205,471,902,323,707,789,129,050,194,024,982,057,726,645,547,
895,750,780,266,119,326,341,542,659,644,537,791,760,076,014,595,522,894,780,
036,658,763,929,488,150,095,113,614,596,904,167,867,136,518,195,737,787,153,
917,454,009,350,380,805,221,296,152,778,115,811,330,215,160,836,607,107,369,
343,775,820,087,507,367,128,750,203,461,591,913,876,264,876,454,126,851,867,
870,954,681,441,194,281,158,891,316,079,880,835,987,652,446,558,763,176,592,
826,472,569,719,275,345,924,056,344,325,955,641,241,986,806,183,978,793,865,
350,799,364,740,671,994,652,339,718,346,370,387,312,251,929,223,075,097,218,
731,724,524,733,045,098,511,016,169,075,652,025,649,556,899,013,167,807,517,
890,856,007,028,520,664,195,001,404,548,419,442,885,999,964,521,732,958,436,
379,841,834,356,663,765,687,910,762,118,398,577,408,388,417,604,949,736,627,
258,308,126,254,274,911,404,909,203,288,804,773,271,233,208,296,887,269,642,
722,021,119,868,509,764,811,714,689,659,259,695,038,914,345,458,076,441,892,
384,328,722,544,271,824,871,488,179,847,961,514,433,935,023,375,169,217,517,
236,251,498,491,688,113,653,373,172,611,619,194,228,514,823,074,187,475,824,
501,272,550,270,904,110,047,614,895,456,400,415,480,799,476,371,663,216,284,
105,746,306,893,474,001,159,966,666,559,445,670,191,630,753,483,815,354,959,
112,091,664,548,139,739,446,393,342,730,211,569,038,453,377,367,464,466,199,
692,309,720,320,495,566,106,649,252,059,571,145,958,442,364,339,188,945,366,
562,033,693,357,490,642,149,304,677,274,474,320,139,768,692,552,071,452,753,
848,721,028,163,945,351,098,900,200,775,410,040,451,346,572,657,928,500,194,
017,111,980,950,372,345,430,986,268,303,412,898,928,068,253,892,330,863,835,
463,390,912,909,342,924,814,244,242,786,551,641,028,313,058,534,955,380,857,
471,084,052,691,044,203,353,482,935,885,024,356,477,724,768,900,545,401,154,
416,864,117,484,916,137,716,023,352,696,377,051,850,598,320,167,077,459,283,
237,645,843,889,279,845,120,783,430,059,681,127,208,220,496,674,427,981,289,
909,445,950,896,897,623,024,218,058,613,495,774,572,742,916,046,833,292,461,
662,856,441,635,410,864,093,433,773,297,524,419,144,920,976,274,320,909,937,
954,231,974,581,634,101,835,901,958,606,169,326,006,802,716,389,828,662,492,
614,796,565,786,416,676,843,843,908,829,308,237,963,202,883,246,030,013,257,
413,378,771,180,689,499,260,143,401,565,551,895,919,993,794,292,155,888,981,
773,404,523,631,175,421,659,468,266,731,814,382,958,837,947,149,893,163,770,
121,435,616,369,655,308,378,151,021,258,577,352,259,625,090,378,853,568,832,
459,251,410,390,143,429,641,594,914,143,400,070,782,234,538,008,770,519,089,
116,649,199,901,361,543,099,400,717,134,008,203,915,806,061,277,211,660,418,
694,598,538,262,410,114,751,737,045,546,856,250,609,434,778,335,529,082,780,
515,691,103,584,044,913,743,701,172,840,069,482,651,616,454,452,813,525,939,
598,444,048,363,568,689,716,211,164,674,367,527,474,899,261,188,486,085,041,
884,710,670,125,536,651,885,077,066,138,889,328,891,561,912,299,389,312,139,
608,882,336,054,851,531,020,613,991,843,442,437,097,629,144,199,533,175,454,
695,991,601,570,370,318,423,708,471,555,512,263,139,409,266,318,271,055,675,
145,691,093,826,333,901,347,321,429,205,013,946,334,793,535,430,628,579,038,
993,140,186,463,795,117,368,771,886,220,092,652,255,325,712,696,222,863,066,
437,956,330,923,224,857,852,712,517,355,859,708,508,342,200,127,426,526,965,
174,911,288,367,303,955,299,287,346,089,588,212,962,398,269,841,466,314,947,
351,012,813,258,502,857,198,155,762,704,063,040,519,613,018,817,394,974,772,
831,200,339,554,369,840,294,881,328,266,487,237,483,268,985,990,554,389,882,
071,629,163,549,746,607,683,420,774,971,053,421,830,636,718,121,523,153,996,
972,882,361,920,886,082,326,333,764,148,493,888,759,504,234,932,966,484,039,
372,503,319,637,559,563,675,800,904,641,159,665,652,123,266,500,948,594,200,
024,485,675,709,849,440,137,671,068,493,001,925,591,699,359,726,575,809,664,
992,696,166,363,487,895,255,455,755,846,713,434,425,979,027,532,086,864,240,
667,347,535,388,014,412,078,763,514,591,253,779,351,182,573,043,736,339,517,
845,130,643,340,850,070,679,586,923,852,710,102,080,923,364,428,293,551,764,
932,587,107,038,508,469,191,858,956,234,430,196,622,503,566,337,626,806,394,
982,316,512,206,018,149,123,473,649,889,824,995,068,472,029,379,018,797,297,
428,821,731,594,924,630,079,464,685,100,828,323,342,096,102,992,546,295,538,
442,194,686,669,603,288,456,491,545,294,265,535,810,723,304,802,612,978,975,
213,188,384,933,695,813,265,303,897,247,169,795,670,157,165,288,199,209,746,
868,247,855,047,348,693,519,890,762,450,561,871,324,883,186,794,895,409,987,
903,370,780,342,441,761,423,346,799,552,271,083,222,307,832,595,054,368,095,
095,085,491,996,966,637,752,560,531,258,608,396,164,369,104,215,336,334,972,
279,705,590,618,753,705,557,782,183,942,456,180,313,298,812,232,805,655,327,
808,224,653,415,866,543,847,997,823,498,606,798,340,654,187,094,374,921,245,
777,449,146,782,086,630,775,078,840,518,047,113,171,624,059,128,243,753,862,
346,219,114,521,326,233,108,298,716,894,635,205,712,510,243,356,090,894,310,
424,298,233,860,122,228,508,651,774,127,478,462,914,088,613,894,002,638,140,
195,435,172,408,417,405,773,136,487,322,800,026,287,497,746,824,744,230,751,
905,809,280,958,451,966,519,087,321,052,588,897,664,892,888,453,729,631,075,
376,244,501,014,770,720,845,243,030,391,225,690,538,707,960,573,214,163,439,
280,068,435,307,585,306,304,797,675,906,110,909,050,463,311,131,251,341,744,
415,445,091,913,798,345,044,146,551,372,667,640,712,728,970,096,795,655,894,
114,635,445,719,063,547,973,013,963,976,508,772,008,064,679,674,262,040,286,
599,710,615,041,983,659,145,419,529,602,303,895,295,834,981,373,408,333,205,
288,704,118,411,703,282,022,669,100,776,194,649,228,451,178,237,426,017,203,
651,227,581,266,100,236,097,774,245,600,712,977,387,243,778,599,195,163,894,
758,301,500,857,152,169,718,700,026,136,188,243,625,538,724,304,383,806,789,
828,938,484,917,977,619,820,905,593,162,533,449,441,224,596,864,083,767,195,
173,018,773,830,761,192,688,268,290,933,501,961,675,342,319,330,022,723,351,
824,821,737,002,144,476,052,368,422,847,627,113,776,928,700,130,122,883,965,
825,345,548,081,170,461,660,379,524,336,987,077,238,962,089,945,887,743,135,
008,919,216,739,105,339,773,831,083,218,190,869,935,314,926,370,191,469,270,
369,032,715,847,710,413,762,813,402,019,499,817,430,098,085,380,055,176,972,
032,329,892,725,092,814,318,894,098,233,852,679,944,146,937,645,807,009,834,
185,935,228,741,585,414,656,907,915,658,507,721,919,539,461,005,934,932,124,
997,700,252,543,747,859,572,731,926,675,473,543,302,919,248,915,706,740,117,
090,978,910,866,080,183,211,893,774,321,158,844,658,864,831,394,253,767,078,
959,044,101,213,775,137,055,732,393,572,036,230,901,506,044,887,470,711,299,
673,386,036,258,283,289,883,196,377,701,396,487,392,335,809,145,475,686,337,
908,812,424,201,284,625,208,539,117,974,238,093,175,028,537,115,916,576,120,
727,763,770,556,128,890,984,179,336,928,982,792,081,636,314,695,317,059,952,
304,892,805,053,415,333,425,924,209,233,804,615,813,126,689,839,937,778,911,
243,794,110,881,273,250,238,068,477,031,353,861,320,382,838,920,429,218,000,
162,263,807,590,657,647,911,503,006,327,301,730,820,412,931,255,335,014,452,
066,436,100,121,965,335,863,470,040,489,631,423,973,229,517,815,994,996,923,
226,220,548,242,018,108,440,472,243,935,533,803,866,210,331,278,750,589,536,
734,517,026,699,764,921,564,605,884,295,006,534,183,461,443,769,198,838,916,
246,662,175,002,618,559,335,186,584,231,688,861,248,017,022,648,347,938,025,
037,462,073,859,818,194,160,486,603,336,628,974,807,721,092,178,641,838,580,
242,291,792,118,089,533,317,862,799,396,868,864,206,140,298,269,006,321,026,
597,072,550,533,803,910,105,337,617,651,717,970,530,191,171,071,829,208,097,
730,591,460,793,933,224,329,812,199,261,148,676,192,502,673,551,633,335,308,
797,909,739,565,349,529,822,534,244,552,126,310,572,176,937,963,779,463,042,
901,995,659,131,263,247,523,924,455,435,407,232,545,224,589,696,753,248,364,
345,705,443,214,763,557,022,956,613,204,709,493,104,523,143,860,347,056,091,
692,140,560,289,147,426,099,682,753,363,752,380,251,688,618,880,173,587,594,
675,356,740,125,669,949,783,416,824,411,271,406,514,474,857,495,083,267,838,
856,885,800,703,234,809,257,547,261,300,234,150,884,671,064,229,741,051,657,
488,148,977,490,792,472,599,761,481,908,107,685,239,231,147,560,719,848,926,
875,057,655,491,609,131,136,479,173,486,968,544,274,829,762,140,152,411,686,
773,201,460,534,745,568,749,104,820,229,950,608,620,185,951,654,519,748,126,
022,511,520,544,928,569,540,306,677,240,350,788,949,722,236,127,505,754,556,
006,781,277,538,204,806,404,700,972,926,523,051,326,973,935,377,191,567,631,
667,940,000,677,843,779,175,844,677,822,093,439,077,942,518,874,220,577,338,
375,586,688,549,712,414,318,400,061,253,892,558,528,237,964,897,060,156,861,
398,550,468,314,740,284,639,517,755,636,309,558,267,813,516,925,292,310,618,
198,337,850,719,230,867,310,619,378,368,068,558,209,804,088,507,905,186,420,
999,800,207,859,151,506,728,335,624,918,800,153,709,227,070,911,914,345,601,
901,611,052,556,820,632,272,899,144,513,351,280,400,459,353,198,403,660,967,
912,708,411,074,690,841,169,431,009,546,049,246,855,705,036,805,453,179,364,
611,909,260,943,529,606,213,207,738,257,776,175,499,504,344,151,464,452,858,
772,779,306,928,023,470,428,809,179,917,746,274,114,765,988,324,244,410,158,
592,061,731,585,439,742,233,849,798,082,643,418,952,815,470,161,193,337,201,
842,485,102,638,133,457,334,978,607,400,423,099,441,436,098,440,698,197,901,
977,633,684,723,205,437,367,810,623,923,026,309,193,106,939,593,173,977,673,
837,432,472,137,079,559,921,080,779,280,180,824,093,034,978,902,043,464,245,
751,663,788,815,452,749,344,753,976,961,460,491,231,457,659,948,383,699,285,
825,719,959,473,081,181,366,275,182,785,583,845,364,143,860,924,090,088,706,
423,723,882,287,856,518,456,302,863,550,318,314,903,566,198,253,807,381,380,
595,909,263,365,976,996,065,361,334,077,651,775,026,868,720,705,303,388,861,
714,221,460,963,055,324,849,999,144,534,860,498,571,877,386,157,894,362,165,
533,876,875,973,222,749,162,799,947,850,799,804,258,240,670,037,128,587,660,
447,316,779,767,351,626,597,593,513,637,186,576,685,300,466,221,460,115,639,
353,248,575,645,745,530,786,020,247,080,931,752,498,369,448,576,294,509,116,
821,580,277,891,743,996,977,115,274,373,558,839,465,812,853,923,922,397,873,
292,895,547,782,235,011,281,684,361,384,051,498,476,707,427,782,907,969,850,
390,229,747,960,621,352,046,332,582,360,164,388,955,442,677,446,599,520,302,
399,468,470,090,789,156,563,346,632,583,559,647,185,087,691,950,921,620,828,
441,875,467,839,711,073,100,498,458,665,276,118,484,509,338,297,615,422,291,
491,792,727,673,540,793,871,457,353,948,906,851,758,197,250,051,524,719,653,
526,554,211,686,038,326,937,620,395,011,886,913,347,985,685,331,895,677,251,
128,991,431,198,758,784,279,972,290,815,528,968,815,414,466,006,743,474,244,
587,880,415,289,970,201,399,278,045,878,845,839,198,614,823,691,328,411,078,
010,208,309,954,005,420,292,882,636,018,346,946,508,952,897,368,362,494,439,
444,958,498,946,929,794,517,822,582,512,956,106,035,517,694,330,700,685,430,
483,251,656,172,520,470,660,260,017,418,800,333,662,882,064,692,575,664,794,
195,979,700,639,062,144,833,173,116,250,922,050,573,803,708,157,039,327,536,
267,630,602,179,807,876,423,897,494,052,255,683,501,586,036,212,398,751,728,
021,486,053,528,284,249,306,365,563,300,709,781,766,698,475,507,003,466,520,
013,047,576,344,100,466,106,288,543,859,851,597,055,098,468,005,519,338,551,
586,902,110,751,981,198,287,027,815,775,570,628,730,042,318,884,076,684,085,
914,480,854,084,005,605,091,647,521,508,321,571,445,411,241,234,355,968,528,
543,356,579,803,674,051,378,970,805,969,458,289,169,742,091,637,984,870,416,
423,475,313,657,876,134,944,609,981,315,506,411,456,351,144,829,568,891,129,
305,791,702,599,442,446,625,735,107,326,839,676,625,344,334,236,615,602,308,
100,337,622,870,949,362,550,102,245,150,942,139,086,113,295,276,609,781,206,
455,494,765,124,906,816,420,610,379,206,113,185,741,237,625,789,306,153,470,
042,416,105,941,451,981,148,778,767,888,982,157,316,809,397,093,727,875,014,
059,919,711,153,172,749,002,363,325,739,419,184,250,280,535,277,584,822,224,
308,120,340,772,620,347,471,939,199,387,492,800,890,167,028,420,522,061,794,
852,879,534,336,267,310,585,248,521,622,202,779,293,185,758,291,660,632,208,
458,949,923,118,997,327,597,647,294,337,417,301,868,121,705,487,223,349,015,
593,900,693,499,888,923,016,649,471,323,433,256,844,483,067,820,902,148,691,
805,460,437,660,300,716,402,703,643,672,619,376,236,686,244,247,837,845,602,
114,100,950,963,541,813,508,516,521,135,176,201,493,109,190,301,582,680,055,
115,412,721,770,685,631,174,018,087,386,061,167,961,267,914,194,062,060,901,
088,295,476,529,603,073,528,629,898,972,080,506,815,797,512,106,729,269,225,
470,546,961,701,327,937,567,875,199,117,872,497,586,483,698,687,697,697,294,
464,148,026,955,490,614,547,642,449,708,362,995,461,405,872,654,934,736,210,
697,790,347,920,131,201,439,642,722,122,065,159,612,047,816,625,369,045,046,
124,661,480,221,507,655,116,192,921,119,587,984,315,135,127,551,810,464,142,
404,393,713,419,585,801,555,825,461,531,282,641,614,292,104,551,191,900,193,
441,928,771,923,419,058,357,693,904,052,195,286,914,324,293,359,197,981,273,
270,624,858,671,519,385,037,042,092,359,858,367,024,138,916,824,719,112,753,
631,723,670,503,519,507,535,954,202,255,478,113,723,488,650,349,146,465,544,
303,590,281,381,827,134,945,519,189,805,566,284,622,902,131,093,253,006,471,
045,294,867,125,622,779,186,333,309,076,485,139,189,758,484,200,586,379,418,
959,091,576,006,288,824,629,180,723,702,603,317,297,802,624,255,830,644,085,
614,374,810,412,906,620,473,493,982,332,819,637,147,326,683,386,066,531,036,
885,439,413,857,988,612,518,670,897,130,265,387,544,538,019,394,865,205,397,
119,525,071,348,754,581,622,850,719,878,295,514,886,374,044,657,245,349,010,
498,701,848,494,818,182,967,620,085,010,260,095,277,771,124,330,700,975,347,
951,063,127,041,344,115,741,019,924,284,758,439,517,636,719,600,236,220,418,
205,522,828,832,050,928,330,580,259,985,081,134,757,322,257,245,590,659,470,
004,470,182,936,467,583,311,418,683,532,419,405,788,506,329,800,020,199,837,
691,301,492,107,469,263,240,375,725,179,966,706,070,817,120,740,025,341,804,
026,685,595,980,905,399,137,861,369,399,739,364,928,319,259,871,526,595,826,
219,279,943,373,965,677,307,767,983,011,590,752,649,415,510,599,664,366,596,
901,761,759,323,331,642,862,759,661,051,530,108,633,621,213,227,086,807,838,
821,987,375,519,674,424,371,499,454,626,165,568,861,212,100,009,823,912,001,
467,771,302,319,755,335,442,040,676,108,913,889,018,806,448,561,326,394,476,
635,733,473,880,529,953,650,187,829,090,390,841,232,927,448,111,091,230,137,
475,627,559,091,524,722,807,652,419,676,264,204,148,383,544,921,113,274,077,
170,018,595,652,845,804,675,075,325,742,105,925,595,329,674,786,431,229,379,
471,707,560,675,115,605,492,033,635,255,240,985,311,682,772,753,256,690,641,
883,376,856,771,346,361,896,098,982,192,293,656,612,286,234,768,923,426,896,
799,029,441,165,622,604,766,445,217,643,614,144,584,007,523,760,397,440,394,
683,711,978,778,767,190,038,760,471,160,068,046,039,424,881,395,916,178,428,
106,229,044,559,570,734,304,654,179,030,308,962,501,258,213,269,799,411,349,
508,895,956,895,432,577,627,973,969,112,420,537,654,083,620,192,543,945,234,
296,478,779,962,131,827,129,706,993,057,889,186,381,363,105,805,627,181,992,
758,239,744,267,235,991,443,631,531,732,735,166,534,894,748,405,023,890,062,
585,891,709,020,234,670,162,912,346,172,084,078,227,047,875,934,025,754,096,
693,233,508,964,582,807,846,475,740,817,152,717,174,348,784,807,411,742,132,
597,421,957,006,049,104,740,687,968,488,372,658,342,295,918,023,953,215,242,
917,445,192,860,750,860,591,305,772,026,508,235,065,557,348,912,280,197,147,
205,635,491,270,387,219,230,015,016,138,415,481,085,085,190,743,791,594,298,
244,913,555,441,459,399,655,106,086,997,393,785,430,373,288,585,048,385,292,
972,338,592,418,725,409,943,911,984,380,669,758,018,686,194,210,801,913,184,
285,819,104,051,292,138,825,089,641,699,356,212,641,451,218,239,231,078,653,
727,897,364,651,900,879,826,275,030,928,971,493,388,689,217,398,664,506,125,
508,879,475,427,131,690,918,124,897,400,829,220,988,241,292,594,447,387,176,
313,816,043,178,771,401,025,261,832,530,959,224,025,787,829,734,021,355,104,
481,802,255,430,999,216,423,729,464,397,345,474,048,219,017,738,409,777,323,
225,613,375,110,678,671,236,602,866,745,592,912,659,844,625,920,638,522,845,
440,442,167,799,928,186,601,073,434,795,301,778,236,005,665,202,476,063,409,
251,160,933,991,580,394,443,307,270,514,567,953,904,928,584,279,160,625,226,
441,124,654,907,444,361,689,747,191,223,013,146,501,997,757,989,767,286,117,
247,822,904,883,260,257,166,899,348,998,011,570,026,997,026,515,551,414,883,
847,721,928,976,295,209,817,001,346,038,333,605,663,413,088,055,110,613,712,
030,701,061,938,499,395,309,703,405,044,179,403,300,195,148,477,574,089,591,
590,133,102,580,705,940,489,902,393,105,817,249,020,491,271,854,343,034,505,
786,960,649,060,647,127,464,699,904,265,618,037,742,940,441,257,277,699,045,
616,279,566,744,949,582,576,051,289,784,663,264,782,587,293,841,973,335,249,
556,674,738,333,590,916,591,309,450,058,522,211,798,556,968,060,036,103,707,
930,225,331,585,390,580,093,450,587,214,595,111,107,312,742,204,179,815,973,
957,042,863,052,953,169,004,780,972,448,270,110,260,422,307,057,715,856,805,
628,246,993,194,635,907,345,757,710,906,870,799,556,369,954,004,433,192,762,
138,886,343,760,359,031,355,362,890,987,065,859,047,381,343,588,879,762,633,
703,158,989,469,888,490,026,884,401,669,585,736,274,051,114,010,236,380,889,
076,674,330,437,778,675,574,447,107,264,323,887,579,595,536,197,729,354,379,
035,533,168,397,178,754,446,106,808,703,048,818,693,257,422,490,582,361,490,
862,436,294,755,580,403,367,641,555,674,464,798,598,487,531,608,490,891,991,
686,402,341,158,969,477,067,383,349,270,958,764,601,174,285,107,546,349,185,
643,453,218,257,572,688,123,960,431,322,840,568,066,892,990,834,259,317,904,
705,912,592,018,768,134,289,865,638,060,527,212,999,979,733,222,052,545,731,
291,153,894,395,565,922,364,692,304,108,688,182,961,324,977,738,817,797,308,
519,707,705,623,359,306,108,805,281,659,602,660,187,534,189,082,626,050,090,
789,847,638,767,990,428,419,598,246,251,221,624,894,030,756,685,326,607,057,
135,499,834,465,011,602,583,363,511,725,250,293,529,255,836,861,028,509,111,
271,873,250,008,284,957,685,155,768,179,311,862,335,311,065,173,004,590,884,
432,611,201,379,111,649,072,587,976,576,765,929,000,264,544,357,923,780,453,
360,099,114,015,154,463,177,378,364,164,723,126,460,573,193,414,674,547,629,
187,665,771,517,361,771,592,954,570,776,544,535,771,517,970,772,747,784,414,
745,993,355,041,677,635,921,471,406,314,819,433,504,128,607,892,214,600,305,
631,190,298,449,473,775,265,591,215,396,071,429,104,421,770,823,127,216,418,
753,885,912,236,899,276,341,767,687,525,386,754,396,309,346,808,654,161,232,
277,843,157,252,349,741,761,791,793,702,304,528,832,285,941,109,546,851,142,
074,277,664,842,843,929,671,544,170,681,325,200,492,973,924,468,731,748,769,
315,681,623,043,686,966,967,447,312,946,770,804,628,840,900,200,499,350,709,
850,243,765,678,317,425,829,931,478,838,158,806,277,412,713,947,460,237,728,
868,227,057,649,750,750,927,479,254,260,160,348,394,849,606,643,387,515,138,
562,511,273,885,312,305,615,202,198,020,620,170,499,526,872,245,877,593,963,
358,196,666,686,873,353,141,248,608,700,033,598,802,902,710,919,633,144,280,
952,331,507,169,387,344,724,731,570,140,712,191,219,729,223,753,696,586,486,
677,477,632,824,938,727,713,048,942,997,121,511,909,791,371,793,752,923,628,
516,999,930,543,259,329,684,887,316,580,560,068,440,613,754,375,377,292,358,
298,841,752,264,693,616,804,294,083,308,322,215,190,048,512,567,497,041,784,
958,917,449,419,975,479,875,270,249,615,960,815,773,232,286,336,367,827,610,
232,537,512,059,275,721,450,054,188,420,256,432,614,440,490,490,440,177,515,
415,453,439,485,526,271,099,337,850,771,340,427,256,465,403,537,179,519,687,
191,097,941,520,615,649,998,441,355,551,689,662,092,640,071,880,139,346,838,
910,790,266,557,286,318,537,508,922,666,419,663,419,340,182,343,869,114,619,
415,391,914,454,246,639,971,972,665,859,463,595,298,053,920,889,689,359,831,
426,919,303,505,541,564,622,224,851,433,112,201,425,469,060,254,390,732,687,
402,190,232,659,489,735,994,985,394,563,541,048,382,932,348,186,378,763,567,
690,007,423,178,743,659,873,920,512,559,982,244,725,696,396,586,135,129,264,
540,059,380,182,820,800,650,269,972,268,320,548,076,372,015,841,076,854,293,
807,913,342,067,552,791,298,930,692,846,130,418,869,685,013,854,289,344,669,
809,923,226,050,952,593,399,404,620,578,725,109,988,247,759,614,512,644,719,
555,985,140,778,789,823,711,405,520,931,494,368,280,545,083,026,490,580,222,
473,127,537,996,747,916,363,679,361,988,531,846,141,150,284,568,518,477,278,
438,612,006,896,553,883,570,179,957,200,889,851,570,096,240,287,715,389,216,
050,985,887,785,640,465,620,838,924,581,066,238,329,171,522,193,483,216,844,
412,567,031,782,649,320,898,137,663,648,436,397,195,039,768,623,060,999,129,
432,597,617,747,479,712,873,674,776,445,116,346,057,925,412,354,468,495,228,
772,846,225,987,426,974,643,075,150,606,575,589,287,861,822,766,669,071,224,
656,028,376,987,049,278,595,927,864,829,050,914,761,748,750,275,172,121,510,
481,122,932,759,873,280,408,363,164,025,994,659,055,373,268,830,867,996,371,
898,430,945,484,901,515,155,943,235,142,959,128,641,235,314,112,257,154,859,
481,971,810,285,626,661,418,303,890,100,657,391,290,705,408,649,840,976,368,
637,528,641,856,216,645,208,974,875,364,675,584,222,319,735,368,751,417,358,
754,632,658,324,919,651,483,682,041,612,653,117,651,374,937,572,622,094,348,
350,192,183,104,001,124,466,634,225,458,828,209,489,209,345,253,906,090,173,
693,661,532,686,694,130,791,961,624,979,406,451,041,551,351,161,682,992,744,
583,109,914,734,819,200,695,821,222,771,383,100,800,832,044,947,230,529,845,
718,166,861,257,076,937,674,748,495,501,736,887,927,680,243,395,866,176,420,
026,325,296,169,957,669,339,919,401,715,958,897,394,628,110,819,286,334,725,
320,557,991,711,974,387,932,920,146,319,070,951,375,463,561,451,539,243,504,
622,179,608,690,443,452,915,912,094,346,949,991,335,143,569,716,073,261,223,
648,374,610,225,199,404,604,160,669,731,781,054,667,213,088,377,986,760,809,
562,430,457,973,932,123,148,846,263,526,050,644,345,771,085,596,300,210,925,
193,862,739,213,556,870,530,587,268,883,728,638,756,505,019,925,461,926,685,
505,768,801,429,125,881,682,305,330,218,978,406,633,225,939,029,172,032,624,
683,273,670,769,825,462,644,429,590,333,905,254,302,725,534,899,779,223,831,
444,565,519,183,472,759,455,598,982,865,427,293,339,497,952,010,735,810,441,
187,247,531,050,697,431,359,002,894,355,061,829,092,381,933,380,307,014,186,
999,544,442,918,273,865,335,635,089,375,265,656,756,272,031,302,286,048,120,
588,838,468,413,471,552,422,388,967,665,327,790,164,371,027,288,473,280,039,
948,944,694,595,732,633,763,300,947,179,682,017,681,804,933,640,766,215,475,
977,320,866,679,102,035,433,774,772,158,247,122,903,830,311,293,583,334,712,
960,260,847,618,457,512,342,523,734,174,429,754,207,234,241,754,264,766,073,
535,212,712,551,210,240,433,586,358,423,669,008,500,552,114,071,595,858,406,
232,755,776,937,323,913,416,480,399,917,406,330,933,821,171,099,436,694,197,
596,889,315,696,841,595,696,233,159,415,603,177,619,562,415,575,465,179,112,
662,197,394,196,610,488,165,190,696,759,339,717,540,783,435,495,288,087,939,
034,191,820,294,984,935,007,473,386,407,426,177,248,277,622,577,445,538,435,
311,517,448,282,133,818,834,911,813,075,419,891,634,078,230,707,345,953,722,
604,206,418,840,151,576,917,378,542,552,215,467,311,785,785,484,019,566,496,
833,670,293,598,865,629,835,991,064,137,219,176,921,053,887,760,651,538,089,
463,122,970,024,524,945,593,322,887,704,493,178,000,184,960,884,999,634,424,
651,607,475,013,678,419,790,849,944,989,992,146,979,191,030,389,090,652,549,
743,994,618,090,758,365,458,276,511,505,136,759,521,761,935,032,567,111,468,
250,056,915,173,003,852,570,141,960,622,754,795,312,274,219,250,695,737,281,
570,762,604,422,549,720,954,471,356,414,435,155,098,414,777,368,679,883,245,
126,594,650,995,185,249,191,334,194,127,304,344,250,579,656,206,897,601,902,
769,132,418,205,717,523,204,936,337,071,713,675,289,898,786,660,339,040,984,
648,695,273,732,940,464,112,689,094,695,847,184,419,328,354,490,003,357,250,
939,924,911,536,551,174,072,786,696,492,027,555,160,879,133,710,902,153,374,
030,759,191,219,271,076,783,175,026,800,415,497,807,642,448,824,943,609,846,
182,714,118,517,020,960,069,137,949,364,867,738,892,864,255,635,943,753,986,
639,172,951,472,841,916,548,778,612,078,849,696,083,558,862,198,988,612,035,
138,070,029,645,963,491,664,383,410,372,483,452,748,423,894,112,289,164,460,
740,266,847,096,955,548,005,131,546,381,107,967,437,172,555,617,159,410,686,
778,482,760,538,476,382,662,007,338,967,588,545,764,430,381,395,209,822,871,
398,279,250,383,877,683,000,541,910,213,157,293,501,999,195,825,826,013,105,
877,891,974,909,419,278,842,659,852,855,701,310,964,271,735,286,578,200,825,
413,763,418,416,480,706,881,224,251,536,046,147,444,693,371,090,550,040,329,
350,900,205,415,492,054,581,290,064,045,683,812,336,723,045,913,129,817,859,
931,560,485,406,237,231,362,832,496,625,087,155,157,945,655,569,524,512,361,
564,621,474,468,709,371,021,663,083,752,652,529,460,454,884,869,783,021,827,
154,766,357,174,579,787,941,618,477,018,235,471,955,601,865,313,289,720,259,
573,154,215,396,595,157,339,466,105,070,361,338,840,795,343,311,423,096,263,
790,066,784,207,626,540,454,071,228,874,660,962,201,456,514,638,732,325,716,
284,596,756,266,642,916,045,915,132,161,094,042,785,877,807,499,988,918,280,
920,846,826,152,425,590,344,618,494,849,034,044,889,543,496,758,221,843,706,
433,727,880,797,230,155,600,818,221,455,216,989,560,587,191,006,378,943,634,
498,039,895,538,332,770,631,186,495,208,978,221,592,662,982,889,278,415,921,
506,479,574,272,486,361,972,945,203,322,379,902,956,818,190,710,967,580,879,
770,605,083,391,910,322,326,425,141,973,697,109,103,898,325,073,296,516,967,
825,970,731,514,742,717,713,865,525,716,764,675,564,061,995,457,202,956,896,
497,362,724,358,248,531,688,520,710,869,402,433,341,571,482,658,669,198,470,
087,334,816,770,778,657,267,300,510,036,540,591,652,843,974,966,240,001,241,
008,596,157,498,423,024,134,785,923,451,991,975,364,227,214,262,035,828,938,
061,830,200,250,210,905,632,601,673,558,008,849,107,724,382,576,715,089,041,
635,455,297,063,116,428,469,002,097,245,887,838,728,120,172,736,874,958,665,
796,033,881,509,757,525,430,029,818,071,562,989,397,595,204,943,316,504,396,
479,668,853,532,547,752,208,875,581,786,128,235,505,131,708,135,865,369,956,
969,010,704,973,919,483,253,972,158,217,147,083,758,277,544,802,750,700,939,
231,780,819,790,627,332,092,496,677,819,957,869,807,796,178,586,294,072,614,
356,350,165,625,584,240,840,574,757,815,910,750,479,429,098,748,757,239,798,
332,267,471,700,290,599,130,614,575,084,204,525,871,226,725,854,506,126,495,
853,984,796,034,352,661,760,408,118,370,060,211,201,792,892,035,968,249,590,
979,135,561,566,433,795,748,390,240,551,427,738,880,084,122,277,598,031,781,
796,710,270,239,122,575,374,670,056,130,380,504,836,923,149,087,796,160,532,
815,182,789,005,427,354,254,286,874,327,747,675,312,488,690,680,437,091,314,
941,843,835,475,029,943,692,675,452,528,131,180,601,891,534,996,191,509,825,
501,270,985,045,554,099,905,532,768,203,820,588,877,865,976,338,474,651,209,
444,233,591,307,881,496,029,153,634,599,254,478,406,211,086,765,609,550,076,
948,837,265,373,386,779,998,609,345,121,485,598,831,012,016,731,539,580,112,
795,143,434,976,215,491,264,519,283,645,625,214,415,985,618,927,931,816,115,
193,399,821,248,309,887,867,232,674,893,451,603,913,142,433,295,171,147,105,
718,130,779,102,875,117,155,785,599,242,645,229,511,044,434,638,019,354,475,
774,834,347,208,630,787,859,723,304,215,441,605,134,526,094,080,290,129,957,
250,625,267,216,931,860,771,307,645,832,233,763,261,714,960,623,397,999,397,
454,863,656,554,118,933,719,704,600,974,678,324,630,119,635,593,463,480,199,
066,102,643,549,544,155,851,487,565,667,121,549,201,717,820,391,468,644,990,
748,123,164,250,330,524,154,296,096,219,682,166,379,258,484,386,063,553,422,
422,508,710,651,515,897,553,061,577,467,349,643,564,988,202,719,191,462,060,
053,717,492,319,966,934,909,766,311,954,871,580,588,678,843,429,205,085,230,
726,228,245,756,203,760,822,332,842,992,183,716,236,096,418,797,183,744,954,
052,623,483,264,541,813,227,524,484,045,535,156,688,368,792,183,566,356,900,
454,324,371,058,374,208,378,741,844,104,004,148,331,579,534,827,283,137,246,
065,539,634,886,710,861,175,859,464,146,034,670,973,199,794,164,017,707,408,
320,267,595,246,695,093,900,853,567,006,208,495,881,095,054,143,729,948,828,
128,713,146,200,112,990,601,145,773,382,761,310,419,406,683,298,974,596,426,
435,796,473,458,929,165,583,390,559,409,842,543,010,895,005,826,756,853,208,
851,482,433,990,380,148,076,777,728,586,928,072,993,137,533,755,206,909,705,
115,702,373,573,517,569,802,189,835,612,936,114,617,859,323,409,137,131,796,
575,451,648,303,986,974,218,654,066,547,084,806,665,065,590,892,966,960,889,
285,618,236,221,122,818,997,467,869,705,933,982,470,278,179,349,476,019,228,
503,951,903,930,004,728,698,900,803,790,961,015,502,804,096,981,641,403,137,
061,087,618,718,106,141,530,158,031,136,185,251,682,766,956,334,856,566,479,
211,187,878,662,756,880,125,123,607,587,354,983,179,239,416,957,809,933,266,
592,617,283,719,243,959,415,478,290,216,626,839,668,081,549,076,722,373,165,
619,972,225,354,542,279,081,225,308,804,740,677,175,817,291,841,254,449,157,
522,444,760,771,784,603,965,488,090,119,951,674,076,605,038,673,264,153,065,
981,113,587,608,794,490,486,166,639,677,623,469,639,503,610,405,733,300,928,
543,142,359,848,847,434,556,078,970,413,409,784,021,427,963,019,176,216,929,
455,386,392,127,221,085,516,872,447,352,971,017,017,495,542,550,209,772,608,
756,944,199,989,649,550,030,090,795,521,353,883,042,865,821,825,544,499,235,
667,887,804,373,359,202,543,081,722,505,106,553,229,414,712,595,139,421,359,
677,561,672,997,272,560,547,467,544,834,128,378,996,400,108,954,934,922,390,
361,996,192,375,737,794,066,653,833,341,735,730,395,143,466,038,869,655,390,
776,601,145,992,961,120,667,616,316,976,299,622,357,818,793,055,528,630,859,
078,923,208,921,855,629,015,674,303,007,120,108,888,888,529,939,685,437,379,
904,780,499,034,792,820,740,208,941,213,639,893,108,486,355,197,600,292,972,
273,200,606,469,384,693,679,154,437,798,904,436,268,891,762,222,438,117,327,
674,559,590,930,734,252,267,838,606,043,883,071,990,165,579,383,723,357,681,
018,561,040,105,498,286,916,448,005,242,796,953,024,198,401,447,852,660,725,
803,165,501,457,059,382,551,734,601,254,517,939,330,562,402,335,400,519,697,
704,245,504,953,150,937,887,683,749,659,909,581,409,013,831,837,068,796,140,
553,010,492,248,495,512,970,066,182,920,803,871,751,145,091,703,783,009,342,
411,867,647,681,062,844,642,682,769,561,013,992,492,301,289,834,132,167,665,
077,191,418,493,016,837,094,648,039,969,828,944,347,068,392,514,870,989,868,
075,574,525,377,153,648,610,968,351,093,675,437,473,692,704,773,128,353,893,
377,826,892,975,038,890,494,540,114,717,137,788,604,894,627,894,596,857,226,
806,397,237,599,685,803,403,674,728,417,760,622,757,154,291,001,789,487,651,
311,255,148,235,102,867,251,064,858,767,269,248,153,670,841,906,529,347,534,
151,893,103,691,189,077,710,823,319,574,326,525,428,300,032,009,063,472,620,
136,003,780,387,561,876,350,709,120,208,836,460,726,694,249,218,091,676,231,
153,253,872,809,848,783,056,129,829,101,577,328,801,994,810,618,553,342,145,
775,072,479,586,264,252,731,352,011,567,677,434,289,911,300,709,493,441,390,
794,153,199,863,629,602,061,773,001,589,293,187,415,187,996,788,272,399,104,
926,143,137,716,947,311,782,372,905,452,807,778,165,485,102,415,153,368,165,
166,690,477,962,594,745,489,151,358,505,299,441,055,100,130,748,580,531,753,
765,249,785,164,820,242,850,570,258,075,433,151,309,504,586,208,274,347,670,
162,887,154,236,501,263,434,875,084,072,811,816,207,177,757,926,717,422,327,
708,949,026,988,701,058,820,970,086,196,260,496,785,830,035,429,456,996,644,
288,805,009,028,508,317,788,858,605,057,195,096,820,192,570,922,086,242,779,
276,810,250,252,619,671,523,138,299,928,112,129,893,575,094,293,678,898,751,
654,610,144,556,447,256,968,653,952,640,042,871,084,001,177,216,898,840,864,
084,965,537,889,295,417,980,944,274,159,612,752,920,872,590,758,456,550,365,
945,092,293,521,356,054,829,700,264,366,557,764,643,451,272,898,024,989,974,
349,540,421,610,503,037,723,784,337,575,887,927,156,865,555,870,443,512,371,
862,419,294,640,668,725,391,896,132,496,719,635,271,897,508,563,859,147,238,
120,971,894,817,421,360,309,318,207,454,901,642,778,932,885,597,961,190,353,
918,269,720,811,449,314,878,488,137,310,205,867,914,429,179,394,554,848,269,
998,785,613,062,259,759,868,659,847,507,632,085,055,170,217,069,898,433,501,
881,647,676,817,110,204,845,289,557,308,590,210,935,104,582,026,473,506,444,
809,967,603,985,488,000,668,499,002,899,750,302,767,835,468,857,561,784,862,
416,718,120,733,602,849,155,326,979,516,461,333,426,665,717,879,601,366,991,
116,656,227,229,743,755,626,567,962,410,845,969,856,646,475,446,240,687,330,
435,472,277,138,403,807,648,537,865,411,085,779,468,565,966,053,198,210,004,
597,420,239,084,118,057,669,190,396,770,256,308,817,369,178,629,663,622,030,
074,258,205,098,011,650,264,414,280,219,512,097,425,656,218,227,156,702,714,
086,964,054,202,215,643,478,639,039,992,024,899,897,323,189,419,029,400,212,
891,947,228,105,582,823,158,262,945,812,834,538,457,233,975,185,875,585,809,
686,888,786,606,400,434,801,791,767,404,997,183,659,686,700,895,009,450,218,
931,948,646,653,824,253,127,296,226,258,055,223,732,262,558,845,108,722,439,
706,607,785,411,961,977,960,579,129,288,647,366,051,737,285,225,644,354,949,
857,751,774,868,230,041,685,288,041,569,375,677,561,794,849,907,682,771,624,
686,488,409,369,620,880,176,453,827,995,020,528,790,520,235,885,228,737,860,
924,983,989,163,227,773,778,410,215,525,024,638,143,656,571,299,163,672,064,
658,175,446,468,644,876,933,168,273,243,896,418,623,307,280,365,658,817,147,
907,758,259,792,976,533,834,956,812,526,330,739,111,222,588,665,388,394,933,
776,003,116,486,443,497,984,552,293,721,824,762,397,329,569,001,123,687,918,
543,605,196,779,525,301,695,275,043,881,645,697,945,283,788,492,386,362,795,
593,749,406,143,975,576,958,043,642,341,510,057,211,915,575,886,243,980,096,
032,094,154,216,064,531,771,640,310,416,463,163,460,255,943,109,222,317,375,
122,293,567,842,733,999,866,154,544,700,734,793,223,357,591,133,983,216,866,
753,285,157,613,131,619,232,362,668,240,744,119,556,801,354,131,176,871,173,
749,416,025,885,299,625,548,676,826,572,175,233,837,848,759,252,317,853,638,
670,322,152,117,100,616,546,487,498,104,064,663,525,910,343,517,494,618,907,
285,569,818,253,981,102,450,880,713,398,334,241,786,176,982,901,021,063,191,
741,709,479,157,014,713,906,206,445,083,346,490,413,753,432,161,831,663,568,
803,204,122,396,839,733,815,926,909,693,502,969,240,711,759,249,805,621,611,
708,107,279,622,384,347,746,071,744,357,679,188,557,112,384,743,081,013,828,
757,647,739,269,661,127,928,578,033,448,617,534,134,600,579,170,343,098,979,
287,062,204,525,457,185,940,655,089,398,882,634,706,235,008,291,202,650,135,
318,209,781,277,840,495,110,350,146,209,329,452,380,899,792,375,503,017,380,
907,664,192,550,306,271,656,233,750,180,580,079,703,585,741,355,755,600,398,
865,821,877,595,307,197,487,577,769,019,754,031,069,853,291,816,825,913,104,
828,286,854,642,379,344,292,999,635,920,107,388,115,665,869,288,261,586,252,
407,362,297,160,969,118,761,445,002,121,696,950,061,439,727,886,002,464,564,
191,349,070,022,323,474,474,420,500,691,367,831,048,424,476,187,301,821,038,
321,627,793,724,607,508,757,526,969,028,177,096,882,972,123,543,431,799,522,
252,712,326,277,954,601,478,935,114,554,346,824,970,190,574,450,927,803,285,
630,971,385,629,237,991,213,829,351,168,896,628,593,287,125,366,855,379,764,
995,516,851,169,483,079,660,057,850,243,326,657,821,753,666,342,456,668,799,
713,377,058,411,977,953,409,502,829,616,890,107,735,443,651,971,879,222,326,
725,672,027,672,026,961,228,170,049,965,129,499,608,020,665,832,294,120,772,
686,877,984,652,709,671,059,456,872,727,953,605,088,034,908,584,540,130,116,
815,494,798,600,648,929,728,057,539,602,858,763,635,079,528,866,283,608,163,
113,715,336,839,112,726,424,421,941,519,122,534,768,973,750,191,351,517,234,
775,245,502,290,836,099,100,026,949,138,145,235,317,213,878,640,418,351,279,
545,372,978,144,592,091,883,113,546,234,447,006,477,273,919,323,100,181,551,
794,196,456,219,967,668,184,319,210,512,799,502,512,447,280,274,132,283,186,
636,498,486,023,244,759,814,339,541,832,673,105,014,332,728,717,896,131,251,
450,972,684,435,240,511,188,562,897,106,408,588,359,215,454,395,153,288,882,
814,045,802,242,617,395,535,789,022,801,274,478,066,193,336,594,240,033,023,
877,924,988,420,799,383,819,646,038,414,725,026,314,863,107,795,588,865,441,
755,913,336,145,055,212,866,049,944,125,995,864,766,383,058,859,555,347,412,
617,355,780,957,138,765,914,410,251,399,411,775,378,729,344,875,078,347,582,
532,851,199,017,743,286,594,774,701,916,646,474,210,146,511,216,227,793,048,
147,354,089,024,211,411,476,049,496,335,119,436,396,702,306,257,755,262,819,
746,141,724,436,274,115,510,843,198,260,103,203,933,032,168,422,269,294,544,
567,881,105,285,594,593,916,316,126,577,730,541,983,712,865,391,978,108,300,
223,508,888,508,993,759,156,083,876,441,979,114,023,319,964,134,057,986,798,
571,971,936,297,618,596,927,979,154,199,440,945,004,771,186,961,338,841,028,
080,680,755,982,583,798,214,042,802,520,220,142,781,071,398,885,101,928,413,
413,287,668,763,677,159,847,795,464,019,303,414,790,559,308,769,177,889,211,
205,243,883,304,281,791,105,257,093,214,787,524,512,307,967,343,289,958,724,
362,879,004,276,800,020,055,327,405,436,846,934,564,778,753,714,398,581,146,
805,998,415,732,876,776,983,421,365,357,929,653,655,549,922,946,494,177,178,
887,131,063,451,360,108,589,912,647,718,312,722,822,440,073,589,563,862,972,
493,080,402,307,519,545,989,423,485,940,731,325,899,736,548,414,387,708,452,
184,389,695,529,737,542,746,825,510,936,816,361,107,369,178,416,677,198,465,
176,088,128,165,759,949,701,794,350,347,579,852,528,134,549,427,310,632,508,
916,470,964,307,512,777,206,506,238,846,325,368,469,648,060,687,507,393,489,
261,778,832,903,645,295,226,448,881,091,936,308,671,660,303,027,610,317,769,
981,522,823,158,048,575,612,897,329,546,801,787,590,508,060,811,664,000,824,
587,443,802,755,990,290,103,775,561,889,322,565,817,889,232,033,455,637,497,
470,676,020,898,157,786,050,456,976,989,457,793,479,492,835,363,060,894,242,
240,183,709,575,769,817,346,375,478,102,554,421,117,670,741,976,396,431,645,
223,224,433,984,885,642,236,611,959,260,474,969,167,561,824,191,064,710,955,
331,782,187,378,185,781,858,622,527,303,101,756,576,537,175,688,758,288,375,
604,360,197,637,646,589,098,806,470,692,658,259,300,343,140,033,847,210,041,
691,170,575,985,961,398,648,841,767,439,920,176,960,821,786,701,500,424,595,
708,062,550,668,334,972,041,301,174,452,672,047,181,470,247,617,179,283,200,
364,140,593,348,743,897,470,167,430,567,650,845,354,426,217,730,973,978,048,
964,424,940,759,727,455,322,380,748,712,430,643,440,719,745,470,742,636,065,
440,392,923,890,671,444,447,037,812,315,758,095,666,508,202,629,452,134,658,
158,475,144,911,204,375,415,713,893,364,055,593,691,982,345,129,410,989,916,
351,071,458,789,345,490,516,472,899,419,647,483,469,462,417,646,551,830,133,
499,617,583,742,707,261,282,264,898,476,126,743,227,287,790,496,453,056,146,
336,380,656,109,495,233,851,395,490,126,357,771,887,724,151,303,101,886,960,
189,391,108,101,407,233,851,739,940,481,295,487,859,583,263,102,357,015,597,
070,263,009,420,280,320,293,579,421,186,857,754,859,280,050,565,321,762,923,
015,080,218,864,015,666,573,802,164,488,498,779,288,789,153,669,723,258,860,
474,812,185,686,103,873,259,032,175,827,548,313,938,255,189,477,286,700,764,
977,722,464,175,970,405,491,313,514,227,134,716,491,504,527,187,980,115,540,
302,065,520,441,692,835,408,131,244,251,847,932,845,628,318,562,232,009,024,
503,350,405,605,602,461,088,224,007,594,713,883,398,312,463,085,148,263,219,
805,475,699,837,942,683,885,426,724,690,796,825,383,965,637,388,238,534,213,
625,300,479,092,086,611,615,947,053,894,506,760,306,749,096,656,366,408,542,
022,041,144,165,437,146,538,844,483,851,358,266,486,502,660,473,126,360,262,
295,219,410,351,211,624,766,443,777,307,989,348,131,463,370,888,058,182,141,
648,693,346,155,022,335,833,541,574,282,232,789,703,533,215,770,730,622,328,
231,711,233,426,176,335,667,795,066,516,816,239,634,818,085,623,987,285,610,
171,382,846,742,213,849,932,472,919,765,643,303,727,566,181,820,625,835,071,
626,984,097,299,090,887,014,069,897,759,560,111,280,402,818,538,646,584,135,
460,171,230,571,974,696,545,007,258,842,807,577,058,254,885,271,162,730,189,
756,055,882,513,460,828,960,581,432,774,503,567,663,724,728,570,449,477,331,
130,909,806,930,376,555,661,017,745,999,011,659,204,466,420,123,767,078,283,
467,769,950,949,894,314,553,687,247,932,273,497,069,452,194,580,963,729,524,
250,224,122,073,997,827,150,632,493,789,365,272,630,961,085,070,560,257,329,
524,169,308,161,872,240,755,124,483,602,423,139,970,093,064,181,588,752,763,
075,808,419,834,851,685,701,698,826,949,722,049,901,161,729,250,757,423,557,
394,581,311,548,241,229,210,212,934,136,514,667,763,522,011,182,399,269,134,
425,978,934,523,507,138,695,693,687,501,100,212,830,101,386,600,687,984,437,
606,666,148,655,607,724,421,891,098,957,699,353,090,782,115,007,617,215,384,
205,558,869,062,250,459,933,594,001,616,570,316,893,617,990,222,360,509,155,
984,721,984,456,225,652,845,863,494,558,607,812,944,021,162,981,303,414,596,
486,556,742,022,053,478,540,383,519,592,139,630,929,390,483,629,003,959,460,
939,657,005,038,732,540,571,089,366,988,474,266,142,723,002,278,876,183,952,
341,233,034,001,422,900,774,842,411,544,996,671,224,419,656,633,605,473,579,
861,056,256,219,027,904,397,131,502,923,688,227,397,086,803,317,030,525,111,
651,777,291,105,331,340,036,996,375,385,418,143,238,096,632,111,742,111,952,
005,955,375,798,134,150,984,448,138,392,971,319,176,181,457,262,683,200,890,
102,399,786,475,996,401,475,765,543,867,711,133,148,247,562,680,717,910,106,
511,728,602,066,857,063,079,166,645,128,304,496,208,663,346,856,005,262,245,
427,609,739,589,032,891,384,773,987,232,562,249,414,385,552,838,648,555,460,
860,930,954,225,911,076,812,363,758,601,075,101,886,024,793,108,819,173,094,
199,684,713,020,040,375,609,637,531,586,336,402,303,884,254,574,308,748,742,
563,974,529,980,878,705,174,544,511,778,037,057,944,049,240,904,846,004,607,
749,922,019,334,958,789,646,377,279,795,425,064,747,284,287,117,616,236,425,
834,650,109,223,163,290,696,648,553,011,760,550,304,683,087,351,443,883,779,
709,059,463,692,459,941,220,326,961,066,750,395,734,042,577,462,625,483,266,
987,512,967,754,092,393,789,175,095,462,886,214,039,546,451,225,949,609,709,
122,109,895,990,514,089,348,855,117,915,052,806,075,692,624,348,220,895,807,
989,256,356,270,466,619,345,756,294,863,037,469,786,559,676,541,490,003,758,
267,643,197,148,860,507,015,041,036,243,513,777,055,618,201,924,501,609,538,
755,360,349,810,415,604,839,688,137,966,949,899,722,317,470,142,948,438,594,
575,110,901,609,557,991,454,508,504,034,642,832,584,565,792,040,834,916,676,
317,711,870,044,092,439,850,743,607,938,656,390,929,312,745,858,055,292,972,
666,926,865,050,080,254,995,158,345,888,198,434,259,248,277,131,808,997,727,
570,271,455,959,130,955,768,247,346,625,642,150,621,855,235,504,305,370,756,
908,226,157,383,344,570,245,382,326,572,436,323,406,495,822,158,614,936,326,
000,808,830,646,933,635,536,831,826,047,115,441,425,301,323,083,534,669,835,
276,564,619,250,367,914,243,585,491,988,848,744,087,773,610,349,350,739,537,
590,783,770,338,215,844,482,282,697,982,922,661,228,133,908,378,126,922,899,
377,974,318,467,272,703,129,359,674,952,981,184,486,422,316,969,836,784,777,
413,456,649,456,202,619,063,695,112,547,499,968,903,061,753,103,588,166,604,
513,572,188,298,170,580,840,263,121,235,986,562,979,071,381,278,150,853,124,
770,891,311,734,479,570,036,732,467,905,491,450,922,993,278,899,585,271,551,
337,731,787,402,049,819,913,199,567,880,596,875,287,369,748,779,223,512,480,
306,185,608,049,520,959,821,287,189,737,899,696,411,638,337,139,528,474,014,
209,663,593,294,785,186,764,973,882,119,514,237,149,579,190,227,287,555,241,
686,502,008,116,707,436,214,949,207,461,860,745,530,621,614,201,042,573,581,
134,162,262,521,483,381,078,697,873,360,682,887,532,997,661,842,433,856,897,
266,263,006,297,447,737,518,116,431,347,560,558,626,603,579,628,507,060,192,
613,705,916,203,949,359,455,824,642,590,783,048,250,369,626,429,826,695,874,
530,807,939,978,717,702,619,303,557,111,082,047,532,484,289,718,138,612,161,
997,841,500,179,727,223,608,569,292,349,135,137,135,305,329,741,241,396,803,
718,252,765,251,561,874,499,574,570,914,342,562,255,088,867,715,403,020,475,
409,379,996,074,400,827,597,587,615,786,271,727,927,059,994,284,547,357,601,
742,883,728,278,448,316,440,471,412,204,272,775,745,095,009,640,012,290,734,
260,109,467,861,165,951,746,873,867,229,920,102,905,810,545,216,882,826,946,
136,317,391,689,547,921,016,942,229,862,595,196,008,955,575,952,795,741,217,
915,529,304,459,117,580,415,433,329,223,538,592,224,769,123,513,036,722,656,
787,779,260,117,673,543,816,765,290,412,548,887,321,470,536,257,207,316,855,
862,120,680,501,502,112,178,376,538,637,497,919,608,811,984,579,208,171,638,
761,887,457,887,442,320,165,833,395,503,689,689,943,710,235,894,742,452,094,
800,258,302,560,074,296,711,917,786,384,674,335,601,961,443,568,825,321,906,
616,688,438,467,042,434,173,658,168,820,901,616,389,063,291,880,052,337,724,
686,158,123,939,843,155,867,715,123,473,582,754,181,548,601,953,010,871,369,
320,370,304,759,922,447,875,669,204,262,757,456,372,460,094,912,941,271,652,
234,591,545,492,545,052,893,889,751,586,017,155,044,109,137,545,691,937,384,
905,399,816,760,709,797,032,581,121,183,741,456,172,775,040,038,223,966,844,
864,462,743,074,311,750,603,911,594,944,007,718,042,562,963,002,693,986,524,
506,417,379,149,275,892,735,038,184,809,794,916,868,132,449,818,241,435,720,
400,918,643,705,070,083,546,707,115,207,342,408,731,547,613,959,324,435,305,
128,184,259,553,418,487,307,569,341,429,669,196,784,010,736,033,052,296,923,
244,339,070,783,819,655,618,861,668,611,052,608,322,930,933,060,791,927,685,
112,077,186,406,161,456,526,645,706,748,287,732,232,970,603,882,044,055,824,
501,913,952,619,003,428,677,224,932,348,468,319,186,505,339,364,783,087,982,
176,122,054,034,440,149,601,410,000,642,248,484,112,579,748,271,722,212,463,
707,622,980,558,061,779,198,792,498,975,983,389,367,687,355,173,196,880,518,
056,232,634,031,679,151,248,024,221,980,068,562,207,091,511,312,458,714,417,
164,258,084,924,494,332,037,003,667,364,405,087,357,618,858,321,899,309,857,
060,552,801,677,145,617,949,573,990,575,091,374,217,829,084,242,248,385,005,
678,077,728,108,657,650,776,807,755,594,636,754,569,178,601,492,283,230,029,
355,765,272,126,495,857,319,883,077,639,704,783,667,446,274,050,863,241,186,
761,879,879,041,963,755,877,020,831,242,266,443,369,719,893,190,968,143,216,
910,469,100,912,402,271,988,433,932,710,799,073,070,588,485,793,356,031,117,
158,404,953,473,500,169,471,075,407,101,556,317,155,136,835,127,461,200,942,
478,828,249,700,508,622,921,615,080,795,223,088,938,448,182,962,796,191,528,
712,218,696,955,330,441,517,993,700,392,308,561,527,184,610,168,575,884,846,
273,317,809,202,149,256,514,092,845,243,680,046,606,136,694,782,206,963,554,
392,950,771,358,140,997,663,830,250,251,026,726,997,253,283,816,098,604,297,
847,170,788,779,275,969,561,235,086,003,794,901,823,678,279,713,773,873,651,
978,860,336,574,550,988,934,860,966,267,385,960,428,063,160,476,128,197,762,
769,724,466,992,695,767,607,492,452,539,747,353,012,963,969,061,211,927,430,
035,072,010,506,104,112,980,157,310,298,212,409,050,654,380,995,999,768,153,
056,099,448,672,251,477,418,927,498,579,083,606,913,985,523,270,052,368,454,
783,349,859,648,102,955,625,347,924,780,916,687,535,063,383,676,598,412,285,
432,886,448,034,391,698,091,037,591,776,863,958,509,938,053,976,608,511,154,
691,844,599,256,781,444,084,147,478,185,262,729,249,232,644,403,102,622,005,
172,732,697,134,528,572,077,201,005,402,136,976,707,580,892,069,998,027,664,
575,135,780,796,020,020,476,864,652,338,920,443,633,994,552,764,743,125,218,
229,198,977,847,613,791,962,079,425,190,763,127,590,430,905,182,660,202,011,
342,744,101,885,330,164,726,451,622,640,625,610,938,166,815,855,024,068,682,
617,311,579,775,721,706,189,730,559,242,067,423,219,810,455,573,282,415,891,
773,856,733,598,457,369,960,636,575,183,736,945,591,250,598,640,974,761,207,
138,104,847,273,112,730,638,897,766,772,076,231,197,881,167,042,619,978,287,
011,108,998,675,764,602,341,196,433,276,189,177,327,259,985,454,779,975,612,
034,221,604,932,945,321,884,457,566,035,209,166,108,900,923,301,632,857,064,
486,097,060,258,517,274,740,804,042,529,165,240,821,133,989,449,639,390,590,
115,818,591,905,125,636,392,345,782,594,752,580,601,598,971,162,446,609,403,
474,399,831,055,671,128,485,427,198,316,918,294,391,385,705,171,827,993,003,
423,024,990,653,966,663,147,981,653,983,296,595,519,242,378,090,422,714,141,
037,603,459,549,797,074,983,606,152,890,825,561,387,579,780,659,745,604,148,
267,042,491,804,199,311,300,606,244,043,363,961,046,132,528,977,769,364,519,
434,886,584,406,104,121,069,280,427,956,368,693,969,324,499,820,146,848,995,
562,689,183,262,981,226,094,056,413,362,991,447,636,735,257,832,733,315,079,
571,178,268,471,741,394,816,437,645,812,941,243,222,144,470,920,308,144,855,
021,838,130,146,083,082,339,677,096,450,091,544,018,735,377,451,090,486,530,
861,400,096,475,529,770,233,558,381,439,779,734,677,511,596,095,399,479,137,
673,654,932,312,527,025,339,303,974,858,217,171,087,587,084,673,636,467,608,
750,003,026,141,996,934,205,331,478,275,967,022,654,524,795,904,542,520,415,
937,054,138,807,323,921,647,393,138,370,180,578,324,571,329,495,570,608,198,
207,026,992,488,392,514,439,313,385,522,608,949,391,905,804,104,424,613,494,
050,277,119,721,541,295,098,887,415,602,262,232,804,059,773,349,699,966,165,
753,601,132,773,901,607,268,694,058,594,710,968,429,095,815,081,668,605,270,
168,888,923,117,362,749,090,986,388,748,601,861,835,400,470,750,226,010,016,
855,227,032,775,559,298,202,864,192,073,415,286,862,326,959,323,711,953,622,
115,099,016,419,909,069,538,192,332,640,555,191,495,366,978,961,939,226,933,
288,447,771,735,924,650,380,457,260,190,909,515,513,805,749,676,266,718,875,
438,456,564,536,551,187,864,226,748,827,450,928,731,096,950,981,632,185,816,
926,157,225,957,056,480,111,518,620,159,832,397,286,514,276,026,379,896,235,
541,307,950,688,138,405,227,152,061,467,766,100,129,645,987,252,260,703,538,
018,407,391,445,665,049,251,821,745,031,789,065,407,901,443,688,143,832,020,
812,446,422,852,442,297,532,736,170,556,803,926,763,049,064,003,835,974,516,
353,613,276,359,409,359,298,798,468,877,340,352,184,664,419,646,342,708,183,
176,076,736,689,044,232,066,805,735,330,861,956,917,644,749,330,429,119,106,
763,996,243,996,775,421,397,089,343,013,369,331,756,341,021,194,852,061,362,
594,610,025,057,490,565,306,493,683,906,160,891,806,308,829,565,297,269,783,
830,814,270,331,216,012,415,258,465,309,723,232,203,887,538,448,611,222,094,
164,072,553,374,373,412,008,469,325,309,619,897,281,472,288,269,878,779,039,
791,040,019,603,557,546,379,830,454,251,969,874,998,482,162,392,347,843,332,
861,805,657,306,365,962,464,826,281,816,048,340,277,799,650,726,474,694,157,
678,397,659,120,021,180,925,658,532,568,160,210,124,555,145,389,730,162,185,
547,339,329,873,340,460,556,360,445,961,452,874,591,949,295,850,737,817,683,
166,043,960,382,481,051,141,024,823,208,160,148,025,158,744,769,734,137,282,
249,476,803,004,277,312,883,119,158,475,977,732,887,795,201,184,435,636,344,
833,975,019,901,944,935,817,767,049,619,911,165,649,855,901,799,037,440,312,
049,229,433,751,771,176,009,979,102,155,608,931,613,345,477,937,267,014,392,
080,814,887,244,362,911,666,869,500,216,738,797,167,239,161,657,146,258,232,
644,081,089,609,867,091,255,139,718,583,350,046,443,187,190,491,416,982,578,
685,141,629,136,631,065,807,689,504,282,144,227,347,354,611,160,124,900,828,
432,610,592,454,131,585,127,700,968,758,685,651,776,728,306,292,252,878,931,
342,574,581,728,525,327,616,676,261,230,927,332,783,566,237,318,655,147,912,
388,879,498,861,067,430,699,791,057,887,736,328,130,764,923,776,592,596,703,
906,012,319,131,276,705,599,653,745,776,739,411,390,590,504,438,494,266,455,
861,107,996,987,104,436,274,860,565,281,759,869,343,372,195,986,575,833,798,
017,144,428,841,062,022,961,308,982,907,081,581,951,731,885,516,250,989,611,
086,600,247,836,186,912,991,087,977,450,839,623,488,507,228,573,471,790,506,
821,273,400,205,515,762,116,583,923,428,149,807,458,902,304,168,884,590,021,
625,299,785,491,064,781,828,478,983,764,665,015,374,806,504,612,094,762,559,
817,125,336,221,340,503,665,884,055,656,826,137,946,078,934,979,211,084,309,
579,884,581,734,007,580,964,412,319,247,397,982,814,663,307,476,073,162,133,
611,308,551,776,744,356,855,262,508,085,825,597,971,772,254,824,028,084,072,
450,596,315,361,682,569,590,307,458,182,132,804,582,501,690,066,978,665,389,
204,810,489,073,278,796,560,751,467,414,702,815,588,639,584,395,143,533,944,
975,956,971,223,274,962,647,844,671,393,409,928,819,182,944,129,721,117,132,
831,179,033,741,126,945,304,744,640,418,390,153,556,103,631,190,612,193,172,
019,295,129,857,047,901,680,664,232,722,531,111,056,559,207,260,228,118,333,
844,270,854,135,422,750,597,929,992,178,671,903,019,271,732,908,594,867,946,
184,218,819,526,578,600,677,623,664,933,425,998,879,785,802,780,895,412,877,
267,092,270,403,357,315,892,353,807,216,582,905,110,885,233,752,974,446,221,
682,736,152,656,153,130,236,733,125,990,904,253,514,935,557,726,009,307,281,
469,552,083,331,135,985,592,544,977,330,178,639,769,251,946,634,018,961,392,
446,899,288,465,230,342,085,227,682,082,837,490,256,631,439,817,001,710,598,
889,556,389,763,541,885,528,217,351,015,892,132,358,745,764,666,176,216,722,
555,321,726,214,472,825,521,949,029,231,946,662,246,280,315,817,509,608,488,
912,012,895,571,529,960,118,803,818,874,624,377,253,521,203,482,008,496,195,
910,595,353,303,147,040,839,910,602,696,008,640,875,508,969,736,442,219,276,
688,930,474,850,309,325,510,348,853,738,968,191,802,168,468,893,837,471,213,
373,758,492,705,815,736,248,562,175,383,499,015,652,519,645,568,872,852,658,
563,688,354,844,873,136,602,900,420,106,161,177,791,235,091,540,278,272,417,
452,184,284,848,759,566,163,981,026,093,714,973,923,816,049,862,376,319,994,
881,320,776,827,918,502,284,313,232,806,446,743,897,132,850,459,933,834,441,
506,194,420,615,478,509,539,209,942,026,433,716,617,410,018,482,594,806,482,
725,123,883,083,204,459,493,154,872,434,974,842,947,484,407,038,041,841,121,
847,991,000,863,345,137,861,687,999,300,150,409,824,577,998,407,465,123,915,
172,198,465,386,495,896,855,781,497,347,375,917,533,114,918,576,983,467,708,
267,719,256,773,895,785,532,924,373,565,624,781,654,807,240,289,156,266,708,
400,589,116,652,225,371,139,987,106,588,427,113,559,742,906,841,357,576,295,
732,845,165,323,438,080,027,191,962,040,214,188,967,160,370,710,771,771,867,
569,164,113,969,681,716,285,949,901,312,922,374,572,605,989,045,214,872,632,
548,082,775,089,216,534,673,292,301,539,297,976,936,563,804,757,679,962,622,
885,749,865,000,671,559,449,682,301,715,053,535,285,403,573,973,993,334,676,
574,922,417,246,354,887,249,329,646,854,483,711,598,149,865,273,358,286,750,
896,991,719,393,683,384,483,688,165,887,702,519,935,072,145,545,911,889,594,
207,879,588,026,108,005,505,343,299,872,441,892,296,225,714,462,003,152,676,
412,764,543,204,776,203,035,883,501,390,767,875,804,374,436,560,433,015,872,
824,187,157,096,001,896,971,783,856,774,194,702,874,718,158,228,164,851,366,
397,535,187,972,435,761,932,149,098,286,934,308,328,763,283,267,102,215,456,
962,632,487,618,979,519,358,863,159,720,694,980,168,235,628,228,476,953,596,
859,123,795,037,164,844,008,560,854,769,473,245,961,632,764,399,746,819,882,
420,874,599,243,691,861,743,008,079,905,106,672,560,193,445,318,184,923,695,
518,127,155,087,605,523,803,842,789,307,219,324,096,659,103,412,671,008,985,
336,622,545,529,984,849,533,973,102,198,321,338,957,226,438,617,369,338,777,
204,991,508,630,726,734,811,016,377,635,293,636,744,008,252,593,774,013,108,
674,343,962,507,218,531,370,790,153,416,412,727,588,613,094,711,687,511,903,
862,071,104,681,442,069,217,082,991,658,997,030,986,043,322,941,141,020,411,
307,858,934,498,657,252,619,498,350,144,629,466,563,296,159,003,285,758,627,
640,157,258,141,492,528,741,126,619,253,827,377,384,289,046,029,018,188,096,
939,500,368,012,734,320,510,183,116,560,740,583,611,223,494,220,115,862,856,
095,445,191,003,761,056,956,510,130,679,282,066,254,700,823,473,734,554,305,
506,607,026,259,075,480,699,546,699,413,859,299,648,253,945,311,528,444,439,
619,781,848,742,196,876,355,589,158,868,161,115,295,224,867,482,068,859,619,
906,044,950,189,064,049,393,362,247,882,007,193,073,402,090,954,014,215,364,
401,044,101,665,040,008,021,272,335,834,451,364,685,858,488,464,453,835,919,
482,283,731,157,520,554,596,954,936,828,393,869,722,101,267,753,767,142,254,
051,174,820,766,800,887,027,554,287,143,114,176,451,893,465,677,535,233,863,
498,381,274,411,466,753,853,207,237,065,267,986,593,880,491,848,685,243,288,
626,953,315,063,831,129,599,467,431,550,701,453,918,829,968,012,828,040,185,
128,912,212,829,175,557,726,846,785,382,837,183,270,707,110,504,443,357,092,
980,411,704,654,144,456,559,301,354,552,377,476,851,140,440,364,066,921,628,
673,314,043,166,999,053,794,271,675,100,407,821,909,117,747,899,665,046,149,
675,518,587,300,948,368,976,171,427,757,067,574,560,834,131,527,280,547,395,
689,620,449,328,464,110,967,718,422,047,491,146,183,431,777,258,705,721,695,
131,723,324,877,749,817,615,905,791,178,600,845,285,848,413,440,115,045,371,
845,617,868,806,564,394,562,359,029,481,415,627,123,956,052,927,935,099,377,
854,984,376,014,864,328,125,568,348,123,918,762,762,215,304,432,082,742,907,
284,150,153,340,941,117,030,848,841,040,407,885,738,017,831,369,585,267,022,
334,465,149,413,729,660,767,245,248,294,783,950,438,240,779,590,040,886,983,
003,184,287,115,740,576,576,909,468,983,106,300,227,193,659,973,074,859,205,
391,775,077,416,884,717,397,913,093,629,920,030,235,313,532,778,746,258,806,
101,107,700,661,516,451,658,721,068,955,105,285,709,007,135,822,920,805,678,
513,453,070,114,137,251,135,939,250,650,980,889,365,935,022,053,387,977,288,
609,063,382,917,526,833,203,204,072,573,609,844,971,471,214,592,757,942,883,
850,726,056,664,806,593,547,890,030,753,188,366,540,871,002,512,183,999,368,
103,730,163,628,604,981,714,538,527,556,873,131,207,678,075,246,067,503,005,
187,746,660,946,484,758,799,551,389,985,948,069,367,955,831,746,211,821,520,
966,022,172,620,774,448,659,403,054,985,148,417,683,136,087,877,466,234,276,
739,371,472,273,327,041,662,591,257,429,892,164,959,967,398,743,891,634,141,
875,823,740,421,367,032,923,900,927,585,020,939,544,570,895,243,534,732,164,
941,438,354,495,002,553,587,719,743,625,859,886,482,837,550,642,612,523,192,
075,694,436,142,364,469,319,046,392,264,595,846,065,525,692,563,170,732,235,
470,611,622,434,290,036,721,411,547,017,070,895,471,656,486,054,434,025,592,
419,208,016,694,756,741,422,712,872,468,781,279,202,341,156,524,575,566,343,
873,325,948,343,424,444,073,605,218,183,245,144,769,125,758,019,841,050,596,
840,780,094,817,459,461,016,699,148,816,512,142,563,113,753,909,801,081,180,
580,758,393,403,733,438,578,777,621,202,569,485,761,392,115,889,121,907,939,
995,615,844,530,569,215,738,386,606,434,397,450,385,294,789,564,966,987,808,
781,437,216,601,146,726,526,565,288,211,009,515,032,251,615,690,080,410,424,
654,705,534,136,251,761,830,068,422,612,049,071,819,217,665,637,547,708,527,
913,014,099,869,053,981,117,162,685,160,087,236,292,938,465,711,432,930,065,
001,287,427,894,586,062,440,202,605,917,204,909,128,130,448,575,694,026,688,
553,521,155,526,375,402,651,725,530,385,239,280,103,300,496,871,109,406,394,
747,625,261,629,906,931,757,233,450,808,344,849,363,912,973,919,741,639,379,
578,464,844,256,908,642,590,921,295,695,780,303,503,108,645,748,047,880,574,
624,689,205,550,791,332,104,677,362,120,754,698,380,983,667,556,835,161,273,
554,804,033,184,306,024,168,879,609,877,158,866,436,567,849,389,697,494,649,
598,243,104,613,575,883,338,937,757,803,731,788,046,621,470,300,056,085,592,
952,293,372,917,794,889,945,447,510,049,917,236,601,734,478,313,010,130,375,
236,673,364,527,011,096,916,660,269,445,670,424,172,511,511,471,050,097,819,
980,881,404,199,497,878,255,811,331,467,676,250,901,431,761,653,244,224,853,
686,094,472,660,628,547,564,832,122,619,567,212,641,424,561,339,802,484,814,
676,760,698,640,637,062,137,841,849,883,328,888,161,910,624,290,863,028,350,
493,203,629,566,194,542,734,397,570,281,457,655,670,619,542,505,036,304,590,
033,175,566,086,003,815,076,832,105,732,564,547,409,660,979,299,215,145,354,
590,218,108,172,831,842,393,072,800,557,519,067,569,374,237,644,474,461,537,
403,878,578,408,294,481,899,488,128,670,962,308,123,345,207,546,103,458,176,
629,403,053,723,272,227,590,805,966,899,522,901,622,430,733,673,272,736,001,
921,184,088,144,915,684,026,365,369,608,346,475,248,106,428,324,578,137,987,
634,551,841,892,175,256,401,120,442,056,746,785,853,076,075,118,010,849,754,
133,024,474,763,154,528,466,378,532,219,367,941,382,967,651,582,856,940,545,
461,789,474,260,839,314,526,636,669,475,704,321,216,760,633,916,278,524,969,
359,739,105,829,878,905,837,544,403,650,415,405,949,735,462,242,595,041,961,
362,701,027,497,473,077,027,945,650,592,870,722,226,109,795,148,124,565,269,
630,915,405,613,694,064,237,685,704,380,017,960,036,683,339,961,301,479,012,
963,484,658,964,840,937,321,529,654,756,374,275,346,213,269,084,662,677,396,
146,689,398,852,676,173,220,310,811,423,189,437,431,033,001,927,091,118,004,
946,307,150,230,684,161,185,096,161,620,316,195,603,337,485,112,888,713,726,
741,559,268,121,015,544,193,255,721,462,566,857,131,297,410,123,282,125,822,
847,242,855,652,979,918,764,125,436,616,544,978,139,109,431,834,848,175,161,
574,044,970,878,180,033,755,794,526,079,373,908,946,867,367,745,806,628,005,
001,424,746,350,924,679,544,974,974,070,615,201,710,657,752,345,102,694,804,
223,963,953,099,836,843,592,665,787,150,290,191,112,553,470,513,349,342,308,
866,285,528,585,995,671,575,306,764,411,556,477,049,972,766,622,801,866,550,
347,724,805,198,201,010,947,423,197,082,005,350,817,929,356,339,329,747,598,
749,399,100,379,527,786,597,535,634,537,020,047,794,683,258,165,330,762,168,
156,351,008,999,162,996,997,258,261,961,676,742,305,444,210,431,010,015,366,
845,719,177,930,951,045,315,863,011,683,402,743,950,947,600,610,543,893,911,
724,889,733,953,954,832,201,203,430,455,419,665,667,101,776,049,376,226,220,
606,745,270,290,636,338,486,579,731,466,965,604,145,335,611,438,380,760,515,
940,193,715,295,706,595,466,830,880,634,666,662,193,368,969,090,885,724,207,
595,368,172,126,193,108,489,819,632,785,783,573,156,799,829,885,500,943,737,
187,206,599,558,289,754,777,980,240,985,213,685,188,485,957,294,435,263,312,
331,640,274,347,553,745,216,968,722,940,202,342,891,671,478,038,684,403,262,
213,041,844,848,639,121,003,884,705,840,174,711,967,074,216,204,120,611,762,
215,991,144,480,643,067,677,446,242,613,728,709,531,444,518,601,357,041,852,
943,840,075,745,839,460,087,918,035,282,337,705,501,592,640,426,050,363,738,
329,236,449,198,069,118,756,428,917,323,504,758,930,742,788,606,394,148,014,
508,168,862,375,655,332,728,779,223,765,743,855,381,416,815,161,783,550,900,
905,397,589,047,483,542,630,951,221,729,561,473,147,750,052,352,812,979,914,
684,496,216,835,740,188,988,371,575,612,217,178,469,440,311,858,230,888,447,
244,555,070,026,274,873,577,538,139,784,723,097,670,101,651,272,252,746,994,
610,725,948,568,966,595,753,397,437,766,237,875,435,367,207,832,626,771,451,
977,121,994,233,378,128,518,598,200,352,497,611,703,925,683,868,419,610,594,
960,113,285,798,301,022,918,931,738,985,248,997,544,855,191,821,657,105,029,
745,726,659,365,516,915,023,652,725,302,654,317,386,633,564,531,727,854,051,
411,861,021,684,676,333,318,646,606,682,234,774,785,216,390,211,313,716,926,
121,706,369,210,996,588,828,581,481,314,346,904,639,989,314,564,429,684,372,
318,445,183,705,566,181,264,340,319,900,980,274,953,289,194,546,232,084,906,
592,173,309,161,483,638,211,778,665,270,528,377,445,258,243,435,963,846,212,
907,090,873,281,795,485,945,093,418,699,161,316,796,570,375,319,764,425,360,
800,234,771,093,909,157,900,816,822,636,331,469,019,854,879,540,409,591,401,
248,580,952,734,237,764,361,261,150,105,999,247,209,754,908,775,245,690,504,
077,621,660,556,839,232,446,907,170,026,560,842,053,446,749,823,671,456,054,
018,883,576,693,497,137,159,152,430,412,151,038,573,917,229,281,104,902,839,
159,707,540,516,700,846,165,447,127,317,003,914,366,464,215,281,926,324,875,
613,859,617,701,073,930,126,050,621,233,077,788,071,398,607,954,653,386,628,
850,444,292,957,545,109,356,214,947,989,273,427,324,512,738,813,090,063,322,
077,265,291,728,933,626,116,189,044,172,560,446,370,997,973,273,364,160,388,
938,010,837,419,765,385,894,265,542,491,181,048,441,782,356,175,228,337,283,
149,398,172,074,860,523,822,846,102,051,587,715,268,983,353,190,826,831,247,
705,453,533,994,508,287,798,196,026,425,316,585,986,406,974,604,012,909,074,
885,983,319,613,915,328,994,771,053,386,662,603,074,579,827,766,794,865,161,
627,548,493,974,486,575,821,247,466,465,957,780,538,080,251,416,243,021,081,
826,244,411,612,007,647,514,429,289,350,556,848,811,403,207,528,832,817,558,
012,880,597,288,842,554,504,571,279,037,102,308,250,131,561,524,989,379,198,
028,972,223,034,029,828,971,181,923,554,259,853,868,510,310,376,769,076,779,
013,695,553,562,217,303,729,050,230,287,854,397,224,010,599,076,644,919,479,
285,713,951,146,779,740,988,844,350,291,167,450,519,346,517,444,261,858,308,
848,029,929,034,311,900,367,157,069,277,102,668,205,905,866,473,212,839,203,
024,790,644,665,037,626,613,595,911,128,403,273,286,726,656,634,314,543,343,
499,522,449,384,006,843,801,516,381,493,990,350,967,713,566,260,782,719,880,
644,171,918,800,410,485,563,839,376,751,008,647,654,323,307,927,281,459,813,
894,482,563,122,423,467,937,342,094,495,182,956,890,467,145,599,586,522,183,
222,964,584,933,881,325,627,027,981,003,044,757,505,628,675,745,966,120,114,
627,252,327,944,510,079,274,319,572,631,472,929,749,719,538,779,127,539,435,
415,265,604,588,476,409,743,464,703,891,210,305,624,705,879,831,746,530,827,
529,791,195,330,472,748,595,542,462,019,621,956,233,543,141,623,472,964,785,
269,504,015,988,819,151,568,605,646,921,719,039,667,645,847,475,876,784,019,
666,412,657,771,942,476,857,058,479,987,593,075,337,026,331,201,749,914,044,
469,700,262,569,992,434,743,488,301,009,631,140,768,155,340,675,150,604,935,
009,825,649,997,404,845,600,615,015,740,510,804,406,954,991,108,167,496,196,
340,463,088,702,553,600,748,599,761,309,061,087,642,868,832,149,258,269,685,
026,331,813,757,968,038,280,355,030,703,475,003,031,313,711,390,103,327,642,
378,392,663,881,968,087,165,838,773,859,492,850,874,102,177,533,908,085,903,
374,829,195,225,433,998,044,598,814,881,887,262,498,590,655,173,514,522,066,
845,896,181,942,832,983,746,690,080,326,470,111,687,762,384,074,559,395,658,
340,500,317,446,987,291,587,200,352,388,164,613,667,362,707,017,427,953,490,
674,915,267,398,455,649,917,721,890,764,983,266,541,370,039,623,999,840,988,
350,146,656,282,247,822,600,130,615,305,818,595,172,094,950,846,504,552,599,
652,490,167,459,485,180,637,657,964,034,552,051,006,388,222,036,055,466,295,
161,532,763,087,415,053,378,177,995,574,269,862,517,759,301,417,102,855,077,
345,656,975,990,515,866,081,530,841,919,992,361,706,554,058,993,507,290,320,
975,192,937,309,179,970,585,185,834,860,929,024,071,196,790,628,704,368,071,
245,893,141,616,905,252,439,862,269,661,581,683,075,972,110,101,945,383,512,
373,396,207,209,815,596,162,343,253,198,493,471,180,198,409,941,405,892,444,
624,075,689,694,954,770,990,179,057,469,960,568,900,340,076,093,366,257,889,
590,550,871,304,199,167,182,137,689,529,241,554,545,639,473,803,654,513,594,
777,220,492,995,168,605,043,523,671,650,582,324,483,262,409,622,657,508,396,
965,965,663,938,397,556,202,013,534,336,684,686,245,051,712,708,540,280,512,
912,379,300,390,166,542,612,719,489,747,788,502,652,162,573,761,722,989,540,
519,603,742,297,564,149,833,105,029,706,707,692,299,274,530,383,659,730,529,
078,217,109,426,733,193,294,254,241,769,683,018,469,523,950,132,106,830,000,
130,925,557,045,542,131,210,966,692,434,257,120,120,321,237,334,168,826,206,
272,458,192,032,350,512,611,414,235,245,108,083,337,710,551,187,375,575,454,
922,835,878,693,441,511,030,156,400,579,427,213,659,224,373,106,455,926,990,
955,845,201,025,928,613,771,977,745,120,133,782,923,530,182,663,566,792,450,
710,772,103,179,664,334,835,948,077,662,874,312,870,278,590,099,521,507,896,
461,557,919,293,630,617,646,734,755,229,045,048,251,888,262,608,468,829,836,
859,725,379,800,187,605,500,538,007,849,693,063,912,717,269,512,829,623,920,
781,617,205,075,613,594,907,099,425,287,768,106,688,997,601,059,416,974,888,
744,541,183,590,522,491,129,179,635,532,569,222,730,181,879,529,985,586,331,
341,686,235,772,768,900,268,081,915,019,722,337,169,049,389,415,299,667,594,
814,567,613,586,064,431,320,503,210,454,536,261,121,971,142,689,360,056,696,
206,736,700,306,051,372,751,314,989,568,707,332,693,349,804,108,190,892,423,
055,772,733,176,018,942,025,962,346,347,836,378,213,265,968,087,346,645,912,
841,692,309,143,397,420,172,431,523,885,770,828,750,266,687,871,112,052,986,
197,072,937,014,207,241,126,121,049,954,066,164,523,165,963,349,770,363,566,
954,955,197,294,052,959,899,502,401,884,575,779,475,360,798,699,187,867,930,
601,951,216,298,517,871,192,759,851,203,482,627,313,794,523,230,063,472,778,
795,623,162,498,175,855,916,189,561,176,771,043,725,821,306,548,937,933,775,
938,262,690,406,162,660,229,376,479,650,021,861,162,484,429,446,648,466,906,
996,636,262,288,322,550,804,030,819,679,244,293,506,388,540,642,823,462,536,
314,793,179,596,142,858,954,396,239,594,781,114,813,985,169,550,762,344,433,
110,529,295,260,702,146,164,654,728,993,905,167,562,838,126,089,360,676,759,
725,593,460,813,049,162,466,324,966,711,490,651,798,827,851,249,917,874,409,
798,739,128,783,122,627,010,979,486,574,961,250,574,002,350,688,888,951,301,
887,137,788,138,117,007,882,635,775,867,810,222,412,366,787,569,300,632,757,
428,343,047,885,359,632,023,292,217,984,604,111,816,005,635,071,510,610,115,
091,748,345,916,856,457,793,150,186,940,305,478,812,842,312,555,879,322,528,
742,644,454,474,373,970,099,616,297,861,777,234,077,819,283,991,584,003,730,
627,901,852,476,419,498,906,340,868,548,352,085,647,272,819,879,162,729,014,
616,584,648,913,834,777,061,256,825,422,656,088,508,600,290,714,139,218,355,
471,998,458,304,381,176,705,553,427,071,305,819,208,252,265,898,978,233,245,
876,903,718,784,656,194,224,048,338,822,599,712,876,372,863,334,974,787,924,
456,978,676,226,431,475,829,727,525,865,848,921,295,112,782,574,386,559,531,
484,914,857,140,809,089,820,484,545,045,547,316,339,970,687,454,544,710,274,
777,425,599,250,536,883,088,858,262,420,507,118,551,653,935,019,702,995,208,
225,655,165,930,212,877,203,824,010,427,072,699,302,672,949,712,034,252,159,
312,366,668,303,082,123,858,875,212,695,728,728,085,269,180,447,390,771,032,
684,414,258,416,756,370,825,777,191,498,984,253,908,492,934,230,964,395,474,
794,017,781,420,819,349,377,735,734,980,063,355,204,835,392,642,162,031,194,
046,529,080,070,866,438,041,855,088,651,505,520,312,039,038,302,863,045,202,
773,376,096,645,842,907,276,436,838,112,122,121,388,818,020,792,044,726,833,
531,438,855,181,942,884,197,786,541,623,916,767,972,955,890,513,064,659,983,
007,026,642,732,793,353,028,958,826,244,612,799,009,822,659,890,326,515,458,
099,199,634,684,294,329,626,316,787,173,604,247,491,469,215,255,865,386,005,
520,166,266,868,176,045,674,271,110,044,049,715,376,851,755,083,539,682,316,
477,088,396,287,328,360,441,887,435,496,679,973,916,631,001,581,544,346,893,
575,188,457,285,162,920,616,750,618,453,488,748,729,568,622,812,852,231,948,
950,530,156,852,678,367,558,786,668,480,310,451,430,489,759,396,336,167,481,
030,552,637,090,807,340,597,265,380,636,696,982,544,461,314,182,270,702,079,
172,254,667,964,979,470,381,680,349,894,559,046,634,842,501,473,707,142,372,
899,805,060,944,801,533,836,625,478,986,844,815,562,341,987,280,448,198,418,
902,951,650,907,301,277,098,044,773,504,699,131,166,018,661,299,902,588,387,
395,711,298,377,641,706,726,609,569,390,639,963,728,826,772,734,009,607,824,
485,132,229,142,659,661,654,262,502,893,987,251,802,325,927,740,999,436,033,
248,824,813,526,922,929,971,299,862,874,725,789,140,311,952,519,166,453,064,
613,965,156,435,530,205,884,206,342,834,443,405,188,287,692,229,349,850,455,
802,822,102,153,621,821,636,913,023,535,636,747,750,457,809,400,018,847,934,
673,659,090,651,725,918,883,316,168,240,788,354,776,960,242,837,126,214,228,
075,211,543,955,020,157,089,202,104,112,436,945,723,308,663,545,971,076,612,
208,985,268,768,575,375,687,283,476,807,471,569,470,390,533,083,794,573,552,
942,730,185,316,709,275,725,361,001,809,429,887,660,678,950,068,577,192,976,
315,073,036,543,020,274,927,592,248,633,048,250,067,629,598,646,625,514,157,
642,354,487,778,915,562,663,955,533,410,037,587,682,184,609,922,288,730,382,
658,779,992,891,843,869,859,901,627,683,930,420,760,756,840,274,817,897,842,
366,129,058,893,223,388,417,173,016,006,386,846,127,994,196,016,840,883,362,
949,010,837,368,676,504,981,101,226,098,142,961,807,488,560,838,265,670,438,
150,552,514,467,252,105,125,169,942,533,087,633,336,652,134,702,030,871,382,
914,524,346,967,946,157,382,311,193,871,356,155,522,179,017,572,204,808,027,
281,013,920,584,430,776,360,200,478,135,760,846,040,814,143,582,355,565,456,
550,499,535,231,497,282,736,886,733,274,766,428,774,724,146,577,556,755,583,
450,683,321,802,079,182,934,793,662,548,235,846,255,368,347,841,491,429,776,
496,826,118,693,245,752,539,711,305,415,077,087,702,549,306,486,016,755,252,
322,933,501,088,611,182,309,588,592,683,600,927,941,415,000,866,474,492,094,
744,894,611,756,194,984,449,400,055,763,332,223,186,282,187,561,428,677,668,
566,976,434,111,150,318,872,641,433,492,341,528,196,115,451,734,833,260,246,
086,161,959,548,863,638,477,622,779,265,302,193,467,504,227,574,529,655,377,
970,945,738,213,611,332,299,734,471,304,926,405,459,521,348,184,399,207,476,
852,278,331,844,375,717,575,411,142,347,885,210,106,338,035,561,772,837,290,
866,199,656,164,060,941,598,264,050,260,168,249,550,161,057,871,379,246,479,
013,046,132,076,217,276,957,635,081,945,528,925,298,748,691,397,848,528,776,
555,359,757,210,213,727,859,613,507,999,299,716,941,313,951,744,505,655,282,
009,734,309,886,632,973,235,829,981,301,610,406,462,362,959,731,908,582,088,
456,448,180,589,802,869,811,652,647,599,356,177,654,829,308,871,519,308,033,
984,284,743,274,628,428,958,301,383,401,427,741,677,941,492,305,526,614,244,
597,539,284,447,039,447,260,623,757,784,983,614,533,073,259,050,294,487,743,
426,475,727,940,611,545,875,986,503,052,201,798,220,619,803,409,174,981,366,
309,230,790,835,328,090,780,164,590,505,922,605,313,605,581,146,713,915,672,
080,047,725,125,421,106,823,839,053,965,089,365,454,897,748,582,423,666,459,
832,215,648,359,596,702,135,396,479,813,678,406,113,524,785,593,298,278,563,
810,258,945,666,555,263,353,410,860,495,993,076,999,982,923,217,554,877,466,
150,271,541,630,315,302,649,677,136,922,739,451,245,600,953,841,364,131,459,
989,634,265,230,151,575,351,168,348,375,679,004,695,071,500,903,718,088,206,
721,328,410,228,165,120,867,635,829,693,236,106,571,277,280,749,601,639,227,
367,299,873,955,999,147,109,684,931,206,193,938,245,307,937,467,288,545,126,
432,697,988,024,178,981,289,328,412,853,248,525,346,886,699,807,904,046,828,
186,146,151,435,242,395,920,856,045,567,442,880,801,946,261,537,809,469,320,
972,961,456,017,521,065,813,621,231,111,727,905,389,603,198,213,959,273,594,
199,711,135,510,527,952,208,418,933,326,995,165,943,120,732,865,815,602,784,
798,498,580,172,564,570,872,673,409,122,447,416,265,058,618,985,542,374,564,
453,104,558,596,988,765,169,274,689,866,283,093,185,850,840,740,008,975,880,
205,043,685,681,487,467,126,185,899,066,443,798,085,347,407,380,374,898,451,
398,640,193,866,201,005,505,125,223,770,856,062,779,449,437,577,400,305,289,
093,630,333,076,697,495,745,264,661,071,859,529,482,412,939,415,840,619,244,
700,590,120,358,185,160,381,044,818,092,429,861,015,383,003,990,812,389,721,
897,973,909,562,002,135,961,004,744,441,762,304,829,824,485,141,861,794,621,
463,525,835,082,319,016,625,475,983,176,746,898,213,851,324,899,130,555,920,
441,406,176,439,907,191,976,029,922,161,979,678,759,822,688,504,905,405,448,
802,162,263,791,156,047,687,311,201,619,893,316,254,594,008,173,542,824,050,
178,026,040,008,416,549,879,208,240,881,633,431,718,425,906,308,064,118,156,
215,526,796,567,769,410,299,118,672,808,439,989,266,588,836,010,438,070,315,
160,919,514,671,172,335,774,041,442,616,204,312,489,668,492,468,101,621,796,
011,242,757,033,310,939,866,155,243,187,039,099,996,593,696,748,228,699,396,
569,876,531,688,415,424,800,837,664,086,936,703,023,727,763,562,309,375,975,
386,408,875,610,238,031,040,798,727,270,624,057,192,809,818,128,444,552,819,
785,336,061,871,671,554,633,982,584,849,787,948,662,766,901,972,442,236,653,
331,614,877,911,558,147,375,369,640,041,658,404,663,208,923,810,517,305,286,
931,892,417,226,943,743,489,507,303,280,686,191,213,307,927,751,600,152,067,
571,722,258,737,444,445,071,908,384,891,265,673,436,118,890,767,678,896,770,
509,642,240,472,762,436,567,329,533,841,271,114,636,989,899,969,707,526,407,
284,256,821,295,187,084,087,150,397,307,486,125,486,776,243,337,647,029,778,
085,942,960,777,253,159,395,567,741,922,946,559,555,228,745,944,218,726,018,
834,695,713,214,041,423,016,661,770,861,441,962,846,933,602,988,424,125,066,
156,833,658,482,490,183,991,679,674,614,571,522,196,705,582,984,126,063,546,
133,306,808,370,292,340,147,297,320,637,780,269,563,600,630,243,948,965,488,
464,195,945,004,380,128,469,749,415,449,010,376,326,124,585,337,717,514,158,
061,302,117,968,484,086,328,098,710,378,001,472,821,288,018,882,574,283,491,
960,025,360,723,457,980,522,212,185,454,626,335,277,935,046,149,969,747,576,
188,109,690,976,997,287,875,914,905,426,579,251,470,992,674,887,576,018,149,
005,508,991,638,904,521,471,430,862,708,103,515,071,374,380,471,907,100,029,
370,668,274,291,627,618,454,193,969,096,319,070,398,124,466,637,125,145,251,
889,573,571,026,648,454,902,480,791,897,854,440,396,363,159,493,735,299,730,
087,763,808,622,707,322,969,309,284,654,627,872,326,670,213,272,378,242,845,
243,241,678,315,261,101,477,126,442,498,973,613,268,258,674,677,643,804,278,
031,503,810,400,283,977,478,474,119,767,590,260,180,368,897,987,231,737,190,
031,345,919,823,239,219,419,833,794,633,779,594,781,159,422,531,353,140,828,
657,207,092,565,612,875,343,342,342,212,346,368,879,212,354,905,782,359,111,
712,554,400,795,869,920,326,550,359,452,282,358,780,734,093,325,849,860,669,
214,071,404,540,645,730,062,243,039,267,235,766,986,862,705,886,920,339,548,
093,970,889,779,876,461,754,888,961,073,523,229,403,709,138,011,634,960,211,
650,145,216,246,020,833,842,027,520,968,721,785,671,609,630,080,734,161,692,
663,400,684,873,960,273,566,052,472,257,469,126,722,552,064,557,588,776,088,
655,722,696,740,101,122,222,110,605,282,404,648,869,971,163,523,553,692,101,
764,654,388,791,019,637,517,351,619,035,913,306,375,719,582,013,831,102,316,
564,985,044,081,925,060,724,230,796,790,942,758,812,670,034,523,354,177,075,
660,861,446,746,425,009,969,679,926,375,591,890,935,085,901,577,958,606,110,
953,969,333,518,341,262,401,424,037,812,976,849,838,271,422,590,415,031,380,
632,630,644,483,925,864,044,188,352,886,270,135,554,620,910,834,837,551,192,
921,720,187,118,644,548,944,067,567,866,400,719,500,324,936,792,203,254,780,
230,128,056,185,509,022,355,299,444,879,043,308,087,537,851,659,527,958,009,
251,462,592,829,389,150,680,261,666,524,635,739,040,817,307,405,843,244,832,
205,877,139,662,794,964,202,599,619,609,573,378,371,703,639,536,396,982,813,
053,806,765,105,693,446,398,885,026,144,153,403,167,851,797,891,350,957,586,
775,983,884,786,965,905,282,585,220,146,371,369,160,618,014,109,195,523,032,
571,275,534,595,610,390,465,205,276,088,370,561,657,702,036,776,415,224,126,
609,602,907,420,387,399,945,029,113,792,608,757,733,745,232,271,793,878,260,
397,280,787,703,369,003,671,931,132,374,670,552,964,621,575,712,120,517,534,
903,764,713,370,986,557,256,012,758,223,299,336,054,032,509,983,509,885,059,
364,551,514,080,906,575,281,017,936,005,739,878,070,323,936,868,566,739,519,
522,863,582,396,671,285,360,703,219,518,763,471,569,278,418,075,619,579,812,
798,932,297,807,066,998,007,305,839,406,563,776,458,224,664,377,698,998,785,
012,335,972,978,019,120,882,355,598,491,127,785,126,959,994,053,145,249,572,
032,509,531,893,309,983,637,331,358,531,075,332,014,799,496,737,754,953,040,
621,124,468,954,452,499,693,886,259,607,627,792,540,837,364,080,721,075,333,
223,408,177,701,881,149,458,658,843,984,135,179,996,554,609,236,296,402,112,
576,625,753,383,213,767,913,724,729,497,864,384,316,148,511,678,291,680,318,
908,944,368,073,738,907,156,756,612,167,243,272,724,124,313,576,256,289,943,
798,193,915,412,673,061,993,836,650,948,479,104,170,867,774,124,970,860,709,
347,629,817,346,201,603,892,941,251,266,869,242,418,525,161,949,266,397,307,
399,549,750,528,476,047,443,137,884,311,913,569,319,729,462,003,816,520,912,
147,211,770,996,454,952,950,255,433,603,750,526,387,226,005,080,462,487,633,
444,100,715,028,541,604,565,012,233,408,895,102,741,918,604,616,855,926,338,
195,661,977,659,121,473,985,157,068,179,972,215,258,440,828,124,188,112,271,
559,838,866,821,174,848,772,561,321,834,192,720,708,624,175,438,593,339,342,
997,812,823,776,570,717,038,465,591,983,527,387,487,445,618,595,078,292,808,
004,339,163,171,552,932,361,428,852,698,495,019,832,251,604,375,834,937,140,
542,837,854,275,325,386,989,131,027,805,557,940,352,031,382,993,208,845,955,
908,624,745,537,655,953,951,890,321,800,484,560,373,220,792,767,118,275,262,
796,663,799,505,972,966,651,464,101,740,518,205,175,261,667,340,616,492,448,
534,437,164,768,239,910,153,406,183,390,686,275,256,279,711,210,706,390,553,
430,182,129,443,471,291,720,632,708,668,174,571,393,757,637,638,189,311,617,
661,093,256,389,101,203,416,969,825,376,447,347,070,484,044,889,675,224,727,
593,331,736,926,811,741,701,367,637,144,836,051,018,101,803,547,185,613,832,
927,058,915,557,053,408,548,457,258,717,261,254,818,776,627,241,937,342,172,
415,287,922,066,154,952,781,857,546,685,028,430,108,253,097,603,377,425,728,
416,621,230,624,027,095,102,583,345,813,340,342,165,396,047,679,388,800,183,
196,113,786,752,271,947,899,827,104,690,540,493,262,925,741,100,626,515,437,
270,850,676,727,882,885,635,149,500,415,558,545,750,073,019,731,570,064,775,
331,299,089,215,690,853,752,070,536,229,090,582,036,963,066,433,282,285,193,
934,105,729,887,171,548,088,216,670,837,367,674,641,976,249,564,857,045,926,
045,081,416,120,806,993,116,125,744,365,952,706,585,389,245,546,045,255,901,
047,284,194,103,529,039,724,880,999,918,146,112,450,073,244,770,538,725,548,
281,467,636,608,573,373,317,245,315,589,167,710,694,289,862,827,108,440,147,
825,940,560,202,023,507,132,927,095,054,041,607,348,084,554,424,374,552,083,
292,592,213,359,888,499,208,607,988,572,709,216,614,681,321,809,274,393,369,
759,582,707,425,013,367,828,087,832,468,961,823,899,715,066,571,924,938,747,
066,165,317,643,654,077,174,830,491,012,956,411,066,069,475,364,347,285,307,
482,601,089,654,739,061,444,793,277,420,799,059,999,051,472,177,752,827,155,
828,645,363,041,454,002,755,989,187,188,457,061,547,983,403,025,224,298,997,
423,312,069,746,014,246,773,716,127,888,831,773,713,342,322,039,949,945,174,
962,244,923,242,298,710,143,551,937,390,001,936,214,822,193,907,931,463,541,
880,832,003,878,358,113,481,729,439,217,577,571,422,293,536,519,383,205,326,
723,587,270,337,611,467,575,594,903,813,582,833,734,663,356,656,485,846,180,
203,927,220,684,410,952,695,400,314,997,695,569,486,689,770,237,471,522,480,
889,546,843,827,164,689,215,385,455,680,352,301,602,719,946,434,792,980,148,
934,131,695,593,380,037,299,775,522,134,678,522,681,450,076,593,123,550,217,
089,456,459,070,421,210,434,220,940,359,589,598,911,481,674,748,137,101,070,
069,618,679,976,577,377,906,977,186,111,185,236,077,667,646,265,556,368,177,
403,428,213,495,501,100,866,285,093,502,994,892,432,948,998,759,763,735,838,
395,976,390,276,124,364,110,998,889,371,357,388,826,175,585,084,335,126,346,
169,052,425,802,765,031,346,299,214,470,648,712,025,479,125,744,386,483,464,
309,355,012,199,684,413,356,949,258,279,577,145,542,630,605,267,778,601,285,
046,117,591,882,928,434,458,628,862,787,368,441,760,547,121,517,715,951,437,
173,335,374,306,618,031,598,175,434,572,590,863,186,660,714,854,364,872,017,
768,367,568,137,787,359,292,439,575,155,003,861,493,564,312,782,298,823,297,
184,611,596,680,121,796,611,481,934,926,212,603,635,736,786,656,385,057,128,
205,691,295,942,864,754,492,239,262,954,151,489,571,658,825,725,803,177,095,
886,158,184,423,010,724,665,913,401,071,145,433,586,500,327,121,338,248,142,
561,948,192,921,356,980,361,838,652,587,053,896,424,004,644,582,041,725,863,
816,984,813,437,504,900,920,353,388,123,899,679,502,044,294,107,357,689,196,
709,866,810,603,814,538,001,110,207,256,366,778,937,054,014,681,791,857,891,
756,439,478,454,870,197,994,134,244,514,464,247,558,262,915,029,047,553,254,
494,372,308,134,810,559,011,763,305,687,973,823,820,904,334,145,705,636,315,
681,219,264,384,493,937,397,741,353,844,565,750,999,183,416,273,302,159,774,
810,803,556,287,838,665,482,369,349,941,043,754,475,021,828,794,526,988,751,
608,237,589,377,273,848,801,617,832,491,234,539,583,479,765,109,347,894,102,
200,105,827,394,559,164,722,975,108,226,326,447,151,718,781,261,579,346,872,
214,253,140,979,947,061,123,012,743,426,484,583,580,503,365,483,316,422,814,
355,100,972,411,423,671,608,057,919,693,554,017,179,569,467,622,343,800,059,
701,860,850,332,569,050,004,021,570,638,504,492,920,155,254,388,989,052,620,
893,169,984,300,592,531,861,569,897,424,623,495,106,179,281,235,114,583,014,
234,670,282,474,354,903,128,021,219,962,049,137,567,727,423,342,861,446,505,
783,641,901,710,232,007,065,629,735,392,953,501,926,959,159,341,149,675,089,
229,067,002,948,952,776,674,161,495,280,970,506,042,138,076,499,428,437,902,
670,463,539,058,844,465,676,466,608,197,273,912,769,101,855,392,078,068,402,
328,233,781,788,164,354,052,517,476,053,466,117,294,733,250,774,819,390,392,
647,798,024,743,794,308,943,498,623,128,760,959,259,623,865,057,799,505,055,
859,590,054,073,214,030,643,802,978,088,100,318,817,370,704,156,340,494,247,
522,094,889,750,185,446,623,596,426,091,772,581,011,101,933,329,869,243,184,
904,705,653,388,710,079,786,801,535,758,925,033,193,797,718,257,424,811,907,
379,475,649,594,938,289,635,627,857,689,807,156,051,772,319,505,415,957,513,
845,322,707,722,099,568,702,983,184,084,037,013,782,836,583,042,676,088,617,
903,367,507,807,260,908,199,966,019,333,474,849,154,104,847,335,181,545,097,
244,065,679,686,651,941,930,137,389,597,363,880,347,133,571,918,701,308,055,
715,538,176,546,817,591,503,468,696,673,775,803,413,447,846,968,443,943,384,
448,353,191,211,530,292,564,195,928,169,577,762,651,518,871,584,709,589,399,
354,672,722,866,241,939,642,843,957,520,269,100,295,435,535,627,114,510,372,
124,393,053,142,249,054,134,398,396,132,911,122,800,369,991,127,055,977,357,
797,372,126,523,890,677,086,479,378,011,251,312,404,762,000,113,070,132,291,
657,958,000,855,582,152,908,593,599,072,851,021,570,725,241,235,034,605,401,
401,273,460,094,452,840,705,509,167,343,116,407,020,788,406,904,549,326,343,
891,002,215,580,901,482,142,513,622,596,125,647,754,308,803,577,996,491,642,
902,086,868,697,996,322,181,731,617,393,453,629,075,485,668,662,662,529,800,
867,648,460,021,356,291,131,132,707,045,453,654,738,543,871,567,219,086,020,
420,618,048,923,771,904,311,499,013,848,962,100,022,966,907,915,325,103,843,
002,497,062,673,565,084,537,886,926,861,245,548,714,450,766,727,381,358,115,
528,956,891,002,084,890,747,719,429,657,655,588,271,777,882,100,385,249,901,
079,345,401,408,183,690,158,935,308,823,543,751,751,737,253,770,747,819,457,
774,289,086,227,126,086,833,203,489,623,358,291,452,436,034,215,575,828,785,
529,593,088,486,925,781,375,325,611,117,201,042,391,045,945,432,564,074,770,
193,090,796,259,883,140,322,098,859,424,597,082,075,891,383,756,729,344,267,
614,030,310,593,383,466,262,724,318,005,927,968,137,827,500,528,617,664,355,
801,695,910,746,703,237,160,525,730,533,788,899,390,012,505,192,209,033,166,
270,439,321,332,654,734,229,922,727,779,581,665,005,002,901,911,149,235,050,
623,597,174,235,854,365,002,057,234,981,625,592,307,298,361,753,509,561,453,
370,584,329,016,297,892,780,495,437,532,153,942,379,722,692,067,428,023,876,
760,734,709,869,962,488,829,043,322,774,557,728,836,535,132,063,944,538,030,
202,461,602,803,175,151,659,053,773,539,196,817,973,987,764,547,706,197,023,
985,684,339,739,169,170,284,773,167,149,232,666,838,345,054,904,728,310,754,
842,196,071,115,455,678,626,315,477,497,256,671,351,294,025,758,281,314,798,
329,547,210,753,898,222,338,605,140,548,420,504,642,548,624,268,831,187,137,
873,879,189,041,104,221,520,317,709,680,170,726,502,293,076,999,321,733,449,
318,427,878,430,206,308,889,575,712,975,220,604,567,128,037,083,128,535,989,
225,757,237,439,420,640,402,959,953,105,020,568,040,475,998,050,599,683,282,
061,713,409,795,383,010,429,435,407,693,079,766,772,025,379,343,709,425,299,
009,320,750,182,581,064,743,040,681,037,467,490,540,834,813,761,214,175,387,
131,213,897,039,671,913,813,113,108,034,767,178,912,789,967,300,936,483,224,
271,773,035,458,715,037,214,729,295,845,241,058,607,413,698,145,831,519,246,
762,744,304,279,145,358,908,591,927,278,651,378,514,281,787,037,125,815,026,
539,145,589,573,519,664,929,549,530,981,774,302,652,390,893,099,256,333,210,
710,431,160,661,515,283,781,731,906,125,827,806,457,952,630,801,073,716,614,
640,647,477,297,923,255,741,234,290,443,352,536,008,886,786,424,033,445,939,
062,123,280,550,188,983,205,048,718,664,494,363,008,704,747,798,396,517,855,
924,537,467,641,211,395,502,214,942,764,736,973,088,030,762,435,412,598,540,
204,646,781,403,711,148,085,417,301,112,761,710,676,617,869,074,947,007,184,
490,914,140,976,151,303,633,098,488,791,221,754,324,253,565,481,233,087,594,
319,739,236,596,829,297,376,867,366,454,051,768,019,595,327,868,783,951,190,
127,713,503,045,223,607,654,639,405,561,778,876,234,124,142,287,830,681,527,
807,833,220,909,935,452,660,408,706,130,470,962,588,871,948,400,896,654,889,
054,555,618,249,621,049,250,397,159,868,165,254,158,951,161,564,751,119,543,
264,806,041,649,734,417,777,349,766,557,953,639,476,154,286,628,846,898,125,
289,048,311,558,414,090,801,478,458,053,512,708,510,313,730,643,818,973,264,
734,186,247,987,328,120,420,114,792,757,828,988,231,275,909,916,766,690,184,
694,384,449,482,871,655,152,251,341,450,768,497,080,130,819,904,294,350,394,
068,927,084,667,803,536,208,224,911,273,969,483,680,103,526,708,343,889,399,
372,544,402,138,912,902,919,432,276,394,797,800,648,928,063,554,922,595,182,
403,249,379,924,084,799,873,010,166,456,567,821,715,929,907,615,824,494,093,
745,230,443,900,641,416,366,104,504,356,603,561,600,890,152,660,291,934,063,
127,798,007,752,645,485,660,663,616,730,986,108,034,559,329,261,156,667,053,
232,115,913,430,178,857,203,606,180,373,295,569,152,363,645,343,184,249,335,
104,708,511,437,129,614,172,660,608,453,755,803,851,866,118,812,815,880,384,
149,789,389,151,794,418,748,820,367,648,630,037,524,940,922,650,069,188,688,
381,391,153,862,143,300,376,443,677,536,726,122,946,607,080,450,132,284,757,
621,991,697,217,473,536,264,806,479,995,701,743,434,465,195,307,594,922,781,
849,408,900,016,117,778,778,969,072,997,375,948,225,395,695,718,904,751,048,
758,987,278,497,217,794,805,544,271,023,663,809,672,759,376,802,043,480,092,
808,209,260,254,057,307,093,042,482,101,500,360,170,293,098,691,529,174,067,
448,450,765,076,457,223,608,947,586,619,957,884,527,495,294,174,025,131,409,
611,842,201,551,752,402,310,789,046,785,490,189,969,686,837,594,543,486,532,
743,921,196,166,738,750,869,282,950,873,024,128,467,354,862,167,984,669,616,
857,362,315,996,577,539,272,751,638,417,859,498,213,664,603,168,129,808,108,
845,076,262,484,647,467,349,880,278,317,248,286,871,778,476,759,572,432,392,
765,882,348,404,162,510,375,252,918,372,458,728,343,818,513,346,063,943,533,
115,085,519,153,963,947,787,729,860,568,636,595,147,265,409,905,064,728,746,
714,627,923,142,284,765,322,891,099,291,123,397,930,778,044,494,360,735,930,
506,298,400,795,407,823,012,946,718,401,372,873,047,241,773,588,792,793,894,
943,383,301,384,953,870,670,612,206,320,987,570,560,677,619,018,366,186,443,
804,355,777,242,864,166,533,207,149,889,108,936,904,587,319,931,988,946,231,
426,340,071,884,495,060,343,561,767,742,942,602,911,143,746,921,772,593,844,
980,729,221,236,002,961,912,629,215,696,430,447,750,382,715,120,910,929,704,
796,054,227,637,914,334,201,891,531,758,487,748,488,528,396,728,835,935,492,
355,161,583,789,725,505,140,977,159,784,288,225,185,007,826,188,853,377,302,
336,742,275,952,208,872,550,833,266,522,857,011,525,011,480,703,216,394,967,
119,910,012,841,692,448,913,608,331,474,267,599,593,349,531,990,635,387,226,
285,110,104,335,607,901,682,732,537,287,645,655,647,480,884,756,749,112,049,
956,064,434,598,197,766,334,815,285,800,814,872,643,982,049,487,774,810,134,
701,540,818,857,661,072,275,327,418,590,024,747,004,038,707,412,255,236,362,
385,056,039,731,117,360,726,313,716,291,717,102,232,436,566,044,972,012,554,
789,041,569,706,034,825,314,473,388,848,171,603,320,324,338,741,101,358,357,
064,932,892,836,460,516,219,502,959,794,365,766,331,718,726,753,184,429,139,
013,886,068,957,814,763,109,993,599,635,436,691,344,741,691,966,321,619,192,
684,528,940,419,243,789,643,476,637,240,317,830,827,928,118,495,606,198,723,
564,553,381,369,709,300,828,853,035,863,917,224,499,156,178,568,093,017,355,
608,694,100,105,713,306,585,076,141,221,834,870,452,279,085,816,935,886,952,
248,491,478,642,906,005,503,706,994,029,025,447,178,442,288,012,975,785,577,
811,085,334,530,837,736,059,330,062,743,442,688,552,542,341,999,778,080,557,
721,252,662,726,997,909,730,418,739,156,518,304,336,765,552,144,241,016,551,
665,819,540,126,798,436,942,140,037,546,200,957,750,060,271,362,907,554,951,
614,208,295,895,524,793,265,719,074,063,225,803,347,995,468,794,993,041,060,
472,222,180,132,869,954,642,557,589,870,217,600,712,361,137,518,078,411,468,
601,458,982,534,688,166,522,791,524,304,813,099,329,023,369,890,554,148,854,
070,316,578,129,940,710,690,056,539,099,309,176,796,755,684,105,874,821,942,
631,004,050,911,094,901,036,408,696,577,934,887,992,381,596,005,606,982,349,
479,722,810,833,543,877,479,988,768,384,833,455,457,689,091,250,109,854,956,
455,455,460,052,202,653,335,154,773,927,655,020,497,471,132,038,420,296,826,
618,289,603,533,623,014,303,901,875,144,661,760,521,429,544,162,496,099,543,
926,135,179,756,858,383,134,374,236,507,543,972,084,281,991,308,034,053,364,
256,486,964,633,761,329,864,288,374,810,359,573,237,124,463,894,502,081,332,
923,927,153,068,322,788,135,191,430,627,844,560,303,951,855,666,893,149,454,
926,602,366,356,094,568,650,227,738,078,196,628,271,836,526,732,939,039,781,
413,848,598,645,370,967,552,671,415,354,803,377,251,208,885,785,001,433,729,
263,513,747,452,246,439,510,891,423,107,954,281,908,562,101,011,788,216,950,
553,019,119,062,178,890,280,898,979,683,743,068,204,457,711,272,391,252,527,
873,821,702,641,457,180,342,762,942,967,015,850,649,320,393,731,078,872,555,
823,692,046,930,975,957,519,274,905,174,394,061,879,571,489,702,509,078,291,
365,811,232,760,528,746,710,044,920,266,352,847,293,514,538,242,490,880,891,
926,248,061,009,106,075,829,970,162,883,329,280,641,771,907,813,933,100,287,
906,444,295,914,086,067,596,944,699,562,423,036,183,641,331,875,756,833,370,
861,466,693,390,655,656,068,069,014,253,050,688,391,950,245,021,034,936,728,
568,693,340,873,029,228,710,800,461,078,073,059,245,409,967,220,424,771,506,
688,590,574,908,809,860,131,155,550,782,494,692,082,496,576,508,746,782,658,
619,276,943,818,572,006,233,005,189,602,610,286,257,592,867,254,008,857,571,
697,934,399,645,657,377,709,418,144,873,371,151,267,805,454,953,785,286,722,
494,272,041,890,164,412,347,347,548,635,361,965,807,816,995,804,615,755,604,
555,129,217,189,882,317,539,183,912,429,589,031,324,752,241,687,359,210,304,
016,266,521,516,866,918,605,916,573,605,637,397,391,360,752,035,140,547,374,
849,551,569,821,818,682,971,795,354,684,358,504,215,725,619,096,009,866,021,
392,701,485,385,483,506,247,436,109,757,646,177,561,777,454,859,766,490,114,
058,906,207,014,810,128,641,466,543,084,352,758,946,966,386,098,041,851,943,
955,205,732,193,066,401,759,422,473,557,595,022,137,912,448,829,891,064,622,
250,373,877,051,688,243,458,068,942,095,631,111,848,365,077,601,631,421,873,
388,766,653,537,702,211,639,654,994,695,832,536,081,752,820,570,532,741,952,
408,579,963,816,788,788,883,977,784,653,981,567,270,732,887,849,301,436,026,
405,482,941,921,552,324,523,193,324,342,141,151,603,018,108,748,046,339,767,
525,734,531,048,147,218,168,231,812,972,732,848,581,684,150,183,382,002,298,
745,028,217,386,933,432,074,805,803,086,752,855,075,420,927,833,207,336,819,
396,140,696,290,189,601,760,541,386,446,002,768,921,920,163,428,657,405,554,
686,262,554,734,126,043,834,146,934,280,545,105,726,141,731,642,879,037,805,
898,096,231,378,623,004,575,589,984,833,154,395,363,128,201,857,637,744,515,
035,053,614,255,777,608,280,305,090,344,053,895,714,935,338,138,320,576,188,
478,031,373,831,311,174,865,183,958,030,398,940,120,073,761,365,718,171,236,
178,944,113,190,300,086,043,052,724,317,908,183,106,686,409,995,403,880,378,
613,093,386,315,852,028,535,235,209,334,832,254,497,385,402,382,254,410,206,
099,801,532,453,189,973,012,139,030,994,149,411,770,595,619,340,989,919,713,
322,608,601,649,165,586,159,378,477,337,730,889,179,365,300,825,501,590,102,
906,919,498,074,103,396,081,783,206,036,904,718,392,402,965,818,778,325,415,
675,008,977,637,252,553,051,020,099,009,438,279,901,632,295,373,783,279,110,
361,742,397,800,615,506,029,114,313,400,035,957,597,901,374,517,368,235,789,
157,772,384,728,983,628,049,815,412,345,593,423,151,322,605,413,061,895,066,
550,016,493,645,550,005,599,276,138,018,361,112,263,296,789,047,428,404,314,
269,415,935,135,626,524,885,596,558,525,762,684,574,728,547,546,331,767,106,
441,562,208,032,554,806,218,392,368,418,435,719,240,348,206,109,167,479,600,
782,119,285,949,800,427,797,323,405,093,621,786,164,384,992,883,105,135,609,
749,714,591,445,517,406,188,951,883,222,049,778,496,610,565,784,044,130,852,
664,417,956,416,288,942,316,396,923,140,115,993,942,148,287,905,860,211,586,
039,407,826,987,165,540,551,912,357,018,749,386,634,570,064,804,545,980,300,
970,066,067,257,950,201,079,665,173,976,143,646,489,775,906,313,218,935,922,
178,184,084,059,951,022,040,679,586,910,810,695,534,021,510,212,526,044,482,
232,677,450,694,050,409,358,187,683,677,777,040,515,281,298,138,716,989,328,
721,286,168,754,245,124,144,588,496,913,631,043,762,249,200,758,421,355,249,
339,625,460,311,579,704,158,359,217,007,700,801,721,502,736,727,819,698,274,
049,950,561,768,987,398,231,939,639,815,857,435,983,293,282,770,706,674,611,
607,875,331,006,365,961,194,613,771,275,840,808,954,252,713,245,571,942,809,
490,374,171,022,586,005,007,505,375,324,736,315,650,046,946,126,152,581,347,
511,231,099,367,835,207,812,526,219,418,738,618,092,680,947,821,072,572,338,
255,149,327,113,444,312,902,205,472,177,763,949,724,476,980,231,465,769,747,
787,338,662,520,098,774,193,162,306,285,125,057,331,414,074,361,117,591,665,
965,722,276,082,684,180,739,262,389,086,810,968,006,791,942,792,405,392,513,
511,813,825,410,933,808,025,462,394,745,945,516,754,298,227,318,636,663,032,
263,569,872,951,546,343,521,154,136,133,890,356,125,852,354,347,010,725,167,
408,175,724,886,591,740,354,489,741,883,967,941,189,733,743,215,051,909,719,
561,337,390,872,471,769,396,496,649,143,357,902,744,851,317,111,349,007,884,
512,449,548,151,098,524,405,349,905,318,992,589,634,423,292,516,112,771,555,
694,153,319,674,777,439,809,338,222,914,071,844,991,587,199,320,951,008,434,
489,379,236,558,131,463,483,284,555,351,468,559,890,570,921,037,469,828,993,
387,434,477,427,160,601,866,943,857,179,988,390,434,969,769,137,555,877,142,
922,126,187,946,371,164,851,923,542,252,702,529,577,105,705,375,700,855,335,
130,221,304,024,869,720,720,620,435,871,691,297,420,725,340,207,515,304,940,
232,027,736,258,052,542,175,019,366,564,913,972,978,029,839,908,757,306,276,
967,509,686,779,085,483,006,106,933,416,702,957,410,937,453,074,218,618,343,
453,651,041,930,267,578,541,319,366,347,392,369,899,564,103,130,187,452,613,
655,492,713,404,537,238,209,005,898,786,818,750,922,931,003,981,123,990,971,
291,088,739,684,496,550,140,330,917,892,264,609,465,261,861,562,988,586,082,
501,138,309,877,944,350,893,851,411,279,956,276,305,608,606,359,741,108,758,
777,394,461,584,890,985,248,711,144,013,688,795,585,196,624,831,570,383,311,
471,141,410,316,904,692,867,575,475,146,162,393,535,914,183,606,929,651,700,
524,416,131,898,521,262,952,043,842,715,848,304,704,551,959,646,092,231,869,
038,490,628,781,939,083,857,731,960,407,640,423,073,677,737,522,655,613,950,
525,893,920,736,094,908,092,746,304,351,752,268,539,713,049,465,256,349,327,
856,399,372,136,930,957,802,783,052,623,245,702,539,392,064,851,599,611,562,
740,173,951,283,136,027,430,529,225,076,928,152,059,129,259,421,429,612,408,
187,480,108,236,554,857,638,195,308,821,651,187,074,720,746,461,552,834,541,
175,280,986,928,777,004,074,658,034,088,360,235,439,583,964,162,594,293,437,
506,729,786,622,928,175,631,670,577,380,507,154,451,176,113,502,034,770,025,
735,276,301,750,948,490,889,570,284,591,153,206,700,058,305,430,772,551,422,
038,280,949,474,773,315,749,167,197,298,781,090,987,045,059,229,771,054,198,
601,786,411,812,123,044,448,528,493,952,134,386,727,446,315,281,861,630,506,
249,263,612,083,575,356,205,076,931,709,500,852,412,277,234,102,065,154,625,
965,437,849,958,499,814,545,028,395,003,257,624,019,238,390,378,691,447,523,
036,445,215,906,783,192,202,926,502,760,314,298,969,674,433,819,882,177,820,
208,563,447,515,370,409,046,525,527,725,635,783,904,456,093,768,711,953,935,
686,526,438,540,083,640,173,187,958,679,241,757,023,486,712,520,476,569,416,
414,507,775,339,334,938,316,913,994,993,700,424,604,128,431,115,407,047,269,
002,558,611,957,765,053,534,398,076,177,795,834,387,066,845,997,982,805,829,
438,136,970,258,593,488,415,126,411,468,490,712,315,013,060,030,723,400,257,
342,370,775,906,945,173,664,984,795,394,706,046,224,391,749,946,932,763,641,
675,250,321,247,458,433,650,403,129,342,689,956,213,709,856,784,557,868,821,
119,845,639,901,490,614,186,810,408,671,011,324,515,300,283,411,418,766,417,
579,099,358,322,778,525,389,853,816,899,871,936,688,187,411,286,517,068,039,
910,938,808,159,483,575,651,509,154,808,068,498,005,816,163,697,247,953,659,
003,567,133,024,335,736,829,934,139,246,721,812,210,243,427,527,691,455,081,
234,018,015,736,039,097,659,303,422,498,978,485,219,935,628,777,864,812,969,
222,787,374,413,568,651,790,053,948,608,597,901,542,558,282,369,125,046,981,
299,833,931,656,434,864,085,764,227,300,930,392,464,983,601,016,844,942,678,
565,558,191,328,168,067,495,767,671,396,393,640,168,716,861,748,438,169,492,
449,927,159,936,850,276,212,772,464,929,728,777,036,088,121,150,178,831,927,
315,390,225,533,587,233,467,511,946,404,295,267,428,298,584,808,565,918,122,
744,531,664,138,576,990,766,989,464,489,681,108,078,623,007,863,031,680,666,
582,098,867,863,206,989,677,058,038,493,779,553,518,305,063,291,229,814,481,
154,473,086,030,354,370,920,245,123,523,966,594,167,888,729,966,232,875,302,
443,917,060,265,857,373,852,717,143,812,800,228,044,564,218,037,596,183,181,
165,409,007,444,050,568,184,394,417,070,489,900,495,629,982,572,302,282,109,
856,125,529,493,299,880,811,998,917,467,884,787,337,976,513,555,858,212,193,
574,568,360,857,487,607,217,053,367,657,115,733,491,999,406,110,788,478,750,
261,083,314,654,453,376,128,490,757,947,936,417,514,551,311,533,145,004,972,
711,798,034,137,913,799,671,788,297,324,774,836,248,785,315,893,094,734,757,
406,460,159,987,268,017,486,129,535,748,761,852,639,957,670,318,708,445,431,
605,649,020,565,815,294,001,074,853,056,857,454,658,587,425,460,101,692,174,
594,361,697,205,026,395,216,044,938,900,508,054,785,419,562,670,843,496,138,
410,377,502,387,869,379,672,760,804,316,232,497,359,421,098,350,712,500,064,
981,514,476,078,451,663,326,923,753,310,237,026,148,709,336,086,651,768,405,
819,840,630,368,724,890,739,169,748,142,550,511,512,585,206,550,767,939,708,
613,509,717,106,074,213,716,731,221,070,796,152,698,604,667,779,617,242,648,
515,682,000,596,066,404,321,244,289,410,222,997,010,841,323,694,843,835,393,
876,851,193,979,388,414,418,141,937,380,098,300,952,015,840,137,265,634,643,
485,721,391,878,648,143,438,051,768,565,087,677,311,598,102,701,022,246,927,
512,917,721,101,654,393,511,591,934,938,562,290,229,089,515,111,003,233,524,
550,292,123,766,091,437,431,901,729,712,277,835,890,851,161,323,237,938,612,
348,448,331,920,046,865,090,680,222,607,504,982,691,295,101,022,008,134,381,
986,208,392,303,244,846,742,052,482,646,418,164,734,536,605,406,909,629,858,
874,786,745,662,767,257,313,608,921,397,969,860,345,829,210,164,937,474,168,
560,732,384,990,663,726,667,381,973,166,963,049,326,039,390,069,204,423,735,
029,805,437,395,476,478,304,388,430,780,391,231,422,030,596,333,365,147,207,
127,254,411,986,488,518,839,875,747,932,736,227,161,748,498,321,186,219,743,
336,778,436,524,883,396,265,914,761,190,090,678,607,534,711,223,899,705,600,
713,325,805,038,213,500,271,342,431,651,036,378,791,526,711,372,214,951,822,
068,891,284,872,790,014,041,739,077,260,638,777,811,793,660,102,268,797,693,
036,242,300,694,831,661,985,109,610,273,301,341,805,630,661,411,908,923,310,
478,812,649,441,181,648,458,413,984,609,642,295,217,779,537,357,369,875,834,
284,050,713,220,914,036,496,307,989,333,886,392,789,844,266,803,505,756,843,
897,304,277,884,778,952,169,918,466,509,889,006,542,126,600,706,426,307,085,
745,182,592,328,916,281,520,223,066,592,644,151,404,647,046,014,359,219,587,
068,764,698,579,541,179,541,453,336,026,407,167,086,024,468,667,856,913,370,
846,053,322,865,241,100,961,942,936,325,211,113,783,370,172,154,627,076,104,
347,961,086,246,748,811,591,102,366,768,141,480,477,651,539,531,394,228,883,
294,563,462,035,092,958,730,484,923,298,006,461,323,783,729,626,061,452,888,
631,914,640,853,312,032,769,865,413,557,865,435,084,578,415,001,610,112,468,
118,158,911,703,378,923,928,136,969,355,578,481,679,070,226,115,324,658,210,
817,976,592,273,903,250,263,707,688,836,328,430,882,803,958,998,792,290,808,
567,750,591,540,781,682,692,605,619,824,061,644,537,744,562,726,548,196,633,
054,114,614,073,102,396,778,191,261,718,429,798,976,896,023,947,080,273,781,
247,728,719,168,799,409,124,366,988,546,668,763,615,877,920,351,041,968,655,
921,294,761,287,663,874,299,357,597,118,198,845,984,038,527,411,702,297,497,
965,030,250,110,832,801,831,147,446,527,263,127,930,612,200,786,724,644,418,
278,666,343,793,161,507,069,805,606,911,500,652,394,779,066,035,750,043,339,
160,484,341,166,596,772,660,300,518,298,068,345,933,633,194,217,365,042,665,
437,912,121,966,729,642,583,164,932,769,528,558,271,368,003,078,018,128,068,
601,672,257,077,497,320,707,849,867,753,812,900,602,995,072,309,613,304,089,
239,515,142,128,882,818,953,150,283,214,384,175,246,620,740,509,627,753,854,
341,701,882,007,271,021,242,571,770,315,204,412,785,469,946,807,614,623,811,
060,337,928,380,464,334,600,065,067,774,217,052,691,507,105,564,913,522,360,
953,526,286,311,979,471,891,810,262,539,238,272,868,106,529,770,402,778,169,
943,494,896,306,852,812,961,720,788,516,912,212,831,572,275,448,011,195,964,
717,650,660,176,112,656,930,041,382,368,102,038,799,444,726,034,683,883,057,
593,427,733,342,033,623,425,552,865,018,642,691,225,933,296,789,476,982,179,
725,589,527,783,097,281,668,304,416,822,551,832,776,191,752,327,768,584,292,
587,605,032,546,535,178,549,066,861,096,161,111,602,066,155,251,845,188,696,
292,435,217,022,971,515,638,899,817,349,338,144,488,279,590,607,911,862,968,
025,287,890,699,758,474,503,134,812,089,227,459,491,614,325,566,991,988,023,
577,990,409,598,457,086,152,861,428,113,023,233,473,696,596,907,094,444,198,
970,563,684,776,586,953,133,027,358,279,706,328,545,458,732,079,547,735,327,
964,214,351,641,273,197,025,898,843,828,838,286,495,128,164,095,559,471,657,
115,245,736,031,866,062,216,820,525,899,676,905,449,149,924,622,643,207,273,
693,101,961,500,972,814,920,377,199,043,500,908,221,775,065,208,573,562,826,
074,673,473,422,471,554,104,360,508,172,528,319,999,407,347,343,251,696,967,
669,890,681,310,455,772,059,993,012,921,995,961,787,174,491,070,987,082,421,
727,080,964,025,882,412,838,339,222,860,137,789,657,394,920,279,704,526,474,
869,127,180,585,237,089,087,588,958,749,927,981,079,796,891,688,772,376,052,
781,504,488,217,538,226,245,631,473,012,375,874,825,074,063,310,806,018,158,
656,787,671,026,823,470,651,202,211,395,302,184,361,760,988,545,065,362,288,
620,643,060,662,261,066,223,799,765,659,026,660,361,125,405,345,545,092,523,
666,214,728,440,380,060,486,463,097,191,442,563,754,651,972,016,166,322,061,
493,155,724,215,853,014,028,860,888,219,709,970,864,174,749,587,775,879,879,
376,315,240,443,874,595,768,164,578,093,890,532,917,400,849,465,957,130,726,
866,643,956,412,947,664,999,112,602,893,326,506,908,361,976,743,037,060,557,
464,015,472,519,720,985,185,217,079,353,549,915,698,582,101,717,911,309,553,
119,489,020,692,193,087,562,545,795,624,326,248,008,369,984,417,615,891,225,
006,529,972,606,502,914,955,522,850,893,230,863,978,318,095,274,482,765,634,
896,726,309,937,313,380,372,412,652,540,172,314,917,470,187,915,154,504,052,
350,443,107,159,335,055,811,143,585,418,810,101,820,412,613,998,019,121,795,
958,194,337,791,822,621,173,980,068,838,492,305,674,277,124,958,876,226,543,
825,155,090,864,706,010,317,511,412,627,805,103,341,129,743,852,174,463,970,
643,268,785,831,233,838,140,304,173,910,104,132,045,217,134,350,907,437,650,
391,305,342,395,180,836,914,065,332,906,823,390,470,603,023,659,801,637,673,
746,074,958,878,756,856,935,517,481,140,083,027,936,891,830,222,775,401,660,
237,757,153,887,002,789,614,968,444,798,690,873,411,147,912,398,345,157,970,
960,824,004,394,629,538,257,139,429,465,777,177,065,940,183,153,852,628,150,
180,143,088,172,811,682,132,630,317,066,480,837,388,064,504,322,466,126,965,
441,175,224,817,192,570,793,639,352,563,532,006,839,190,528,803,757,115,152,
807,839,065,472,489,051,155,020,907,654,315,608,803,901,863,037,847,018,039,
209,535,430,450,885,258,966,531,654,543,007,587,449,600,280,769,902,526,139,
908,305,903,477,635,171,706,670,818,305,342,488,943,734,712,606,392,749,725,
003,837,681,625,643,032,091,756,439,014,840,576,466,467,353,695,502,401,821,
718,642,205,497,367,559,583,277,317,860,043,451,704,649,986,877,992,128,485,
596,028,625,367,202,314,107,729,740,756,964,112,294,429,780,330,609,051,791,
231,544,988,508,841,196,514,276,478,140,882,649,633,093,119,628,012,883,532,
736,147,007,593,205,500,720,203,705,469,855,057,981,013,247,611,204,958,938,
964,172,502,809,536,845,809,828,299,679,002,659,606,364,553,266,716,122,990,
141,637,691,889,497,085,130,022,826,980,314,895,520,271,535,926,245,005,245,
637,506,027,566,837,268,891,065,067,994,388,911,306,744,591,181,455,586,088,
394,789,343,513,834,066,644,404,206,206,681,977,924,680,736,217,728,346,858,
688,805,974,014,291,161,987,322,774,588,524,881,163,355,052,166,419,017,262,
541,768,345,421,686,643,464,153,023,986,900,427,527,906,552,707,067,749,858,
613,103,641,579,465,047,167,624,857,417,953,695,959,409,046,350,996,555,768,
961,111,067,837,679,301,524,617,017,931,518,466,378,151,085,466,144,521,844,
376,063,153,727,990,707,334,325,209,275,247,555,615,607,101,828,970,894,037,
373,710,067,101,379,299,695,912,015,928,116,774,612,734,601,665,003,994,252,
131,885,607,567,880,288,257,911,689,279,717,175,475,180,408,846,014,264,074,
551,581,904,816,280,172,740,756,952,910,561,163,455,485,215,292,741,876,580,
049,216,189,403,098,824,383,858,820,492,470,716,274,540,258,692,961,350,236,
411,771,773,660,524,526,088,051,806,410,926,001,112,990,150,609,530,508,731,
945,498,140,591,988,628,533,154,076,811,313,906,133,274,624,136,816,365,986,
434,607,385,832,326,607,354,623,870,227,385,788,330,348,165,327,005,689,785,
546,079,092,491,322,693,705,214,732,995,805,603,243,853,472,814,050,854,667,
729,824,735,355,732,603,964,782,704,264,126,542,720,343,011,064,900,052,105,
246,795,914,786,509,712,845,755,705,206,111,279,637,615,584,545,174,326,783,
584,085,673,994,642,947,422,347,901,657,122,877,252,599,796,503,439,266,344,
407,497,087,850,513,453,987,587,172,855,876,807,045,407,109,782,450,768,556,
408,944,411,500,937,647,856,299,986,297,499,362,195,821,878,432,811,970,220,
277,274,864,630,547,633,732,135,909,119,483,119,613,648,808,113,499,463,159,
959,765,405,454,593,742,670,348,806,334,749,155,182,527,063,324,572,278,607,
157,173,141,302,304,517,470,158,194,943,577,436,686,052,625,405,761,654,924,
144,444,708,094,059,985,367,329,096,680,294,740,433,254,761,360,052,342,105,
689,916,010,939,646,014,806,370,281,756,981,861,913,126,949,703,577,426,141,
300,194,882,963,927,286,825,962,734,039,127,817,941,046,677,434,786,585,291,
799,414,812,272,982,357,024,285,831,645,164,534,815,981,264,388,331,462,246,
638,472,421,725,956,844,452,162,663,977,421,467,091,397,385,066,518,309,077,
218,886,629,158,642,636,691,750,030,956,170,236,946,313,523,121,851,908,169,
388,504,779,558,334,573,857,791,196,459,664,557,260,427,719,634,216,594,813,
776,824,576,715,985,188,442,672,172,528,547,792,750,615,945,161,621,633,871,
727,110,805,035,318,213,685,137,169,275,403,575,976,570,242,102,945,590,475,
112,801,753,912,993,407,075,140,857,066,644,070,952,336,049,478,768,926,512,
023,989,324,133,210,876,127,708,179,951,336,150,366,298,295,585,279,844,092,
424,224,787,396,820,104,506,884,758,810,919,160,724,425,946,695,640,606,395,
337,413,986,064,378,236,745,651,998,356,699,606,367,899,738,955,698,714,381,
432,019,682,216,233,899,806,793,214,925,955,942,032,617,235,745,316,725,815,
158,150,997,059,630,806,484,855,237,285,844,032,888,930,033,244,098,875,956,
858,009,480,418,560,717,676,133,642,362,084,214,474,375,934,036,159,474,411,
757,929,632,528,292,144,144,342,048,311,720,126,735,402,625,394,994,508,690,
236,228,904,597,270,551,560,640,397,274,973,412,587,603,250,536,991,352,215,
812,911,544,610,465,284,870,957,725,456,427,863,684,041,676,569,329,451,716,
246,225,825,967,650,215,524,328,189,089,936,588,107,811,876,350,028,113,469,
582,768,607,282,267,375,969,381,645,352,534,187,844,169,673,250,386,051,697,
233,949,349,988,634,199,390,192,450,977,147,889,632,418,329,357,165,942,414,
760,685,377,951,978,001,676,765,338,387,797,847,719,440,485,906,645,137,456,
887,912,540,234,060,004,928,035,768,998,462,438,813,826,419,262,054,295,435,
987,038,479,726,659,986,350,082,733,153,814,894,755,764,633,213,126,229,097,
787,724,473,201,857,979,310,877,100,749,882,061,347,143,976,650,722,497,219,
031,766,363,428,289,966,547,231,656,389,183,599,879,412,450,526,312,257,517,
026,327,716,040,609,437,331,415,900,943,796,198,906,009,620,520,265,888,880,
869,817,102,293,310,866,231,304,766,997,600,181,144,028,614,124,429,857,878,
021,307,695,122,207,614,602,015,012,631,519,355,237,447,292,464,748,880,105,
057,119,581,938,649,573,333,469,109,694,522,648,719,682,475,825,024,249,666,
480,839,770,831,307,104,054,744,703,443,084,255,780,157,205,566,932,911,164,
925,158,813,785,670,616,091,543,397,712,517,489,799,245,373,065,912,613,984,
045,220,638,469,115,867,056,795,294,041,077,876,966,055,597,569,136,840,798,
577,802,663,012,974,104,820,471,148,571,271,040,445,906,958,149,449,299,152,
175,061,963,813,873,335,430,874,294,239,500,803,963,795,537,042,323,991,653,
680,173,480,912,036,415,610,568,569,364,739,514,560,621,768,542,384,705,194,
826,894,608,383,386,344,443,443,204,770,158,869,541,871,665,838,729,588,059,
851,352,533,251,138,261,206,839,844,309,895,416,093,316,025,746,999,317,632,
280,595,598,545,126,294,085,998,751,221,136,399,567,681,639,756,317,760,138,
817,806,242,822,311,588,709,662,649,329,736,067,495,345,560,943,156,643,618,
306,327,501,869,047,293,923,669,424,646,408,320,986,554,989,204,167,647,186,
501,677,240,731,887,423,449,510,698,211,054,410,071,120,101,646,087,216,787,
534,096,563,057,334,037,471,526,387,606,840,095,917,734,510,787,055,571,733,
334,670,608,600,857,476,877,339,474,946,425,243,100,553,173,310,164,787,862,
339,684,849,373,563,920,021,857,321,884,747,873,939,362,887,355,235,797,899,
280,383,683,941,238,920,634,694,245,637,651,602,067,532,473,796,559,980,761,
169,388,499,382,636,112,170,961,097,528,360,998,026,209,369,071,066,459,990,
014,451,485,830,739,902,420,222,744,557,095,769,051,003,529,934,179,625,334,
862,104,176,341,580,968,773,207,344,530,405,671,566,882,516,669,813,987,325,
127,995,804,995,575,590,816,806,059,085,412,359,380,992,417,490,386,542,623,
850,333,518,549,936,850,895,066,987,705,949,265,739,791,895,227,121,014,594,
475,736,184,949,628,190,114,807,133,820,106,164,535,827,448,576,361,862,780,
120,404,730,136,415,527,805,820,505,788,387,617,177,091,942,924,694,619,644,
649,362,066,047,952,465,936,199,463,053,761,544,932,137,737,896,904,399,110,
131,369,426,048,738,599,744,681,925,914,329,467,378,697,244,494,339,402,272,
807,359,942,572,709,949,966,567,220,482,988,117,227,114,095,395,904,262,218,
858,826,992,423,120,686,223,686,711,210,914,761,404,147,452,982,580,454,201,
794,417,890,031,417,933,362,988,725,498,372,754,892,546,475,351,942,899,457,
892,391,546,149,334,988,233,181,553,874,186,563,889,818,352,634,291,454,588,
850,041,329,090,145,349,750,592,183,799,150,020,905,106,828,052,720,846,895,
783,950,954,302,298,141,081,063,984,270,138,082,672,583,915,440,472,199,490,
130,933,522,073,322,046,657,874,828,062,997,958,967,693,252,854,330,220,898,
547,574,810,018,802,138,633,226,314,939,577,367,454,805,538,522,286,224,718,
189,828,910,703,163,116,114,084,034,782,010,833,757,110,784,186,267,393,922,
003,835,461,431,315,914,326,208,838,039,095,933,445,107,212,128,890,537,696,
478,603,075,931,030,189,199,031,082,194,005,519,750,104,098,191,863,047,798,
635,002,622,032,912,793,176,601,654,368,443,099,722,126,796,069,254,398,521,
903,063,186,071,214,976,720,334,628,862,432,658,716,452,359,594,938,335,913,
133,137,858,147,832,807,754,248,696,492,640,442,948,653,615,654,267,926,683,
985,919,743,698,330,808,924,786,191,979,120,337,769,462,174,601,339,639,177,
789,605,580,917,487,954,777,402,006,928,541,192,073,833,493,205,216,409,696,
851,593,679,272,289,292,105,551,377,143,459,507,660,556,470,090,789,682,138,
495,968,575,839,674,837,787,639,659,756,683,181,159,670,545,650,406,967,384,
717,959,260,889,572,209,059,292,373,245,888,850,355,458,071,019,234,686,372,
242,937,516,866,868,650,996,066,611,613,244,393,686,984,932,428,005,789,593,
397,412,379,681,582,838,303,754,109,173,695,425,027,683,383,868,568,928,609,
878,923,292,566,011,461,167,068,512,147,033,272,764,115,274,675,960,371,849,
759,127,514,778,991,136,609,633,872,660,014,778,604,805,234,387,785,838,131,
067,026,008,920,001,469,202,102,871,238,857,393,423,335,729,750,755,990,541,
533,259,567,243,160,808,067,854,727,100,653,091,473,340,460,425,182,945,483,
343,187,347,159,011,928,900,546,639,806,099,901,137,237,962,107,950,745,206,
389,220,158,944,074,703,723,780,819,756,946,656,705,930,750,553,303,419,273,
082,434,380,458,627,831,973,146,302,702,588,476,990,845,241,420,767,929,000,
383,166,381,463,309,772,477,361,321,776,312,064,064,921,544,877,103,933,858,
401,003,637,014,716,683,356,349,300,585,672,252,669,011,791,256,541,450,725,
309,534,212,469,972,864,258,467,486,585,672,768,039,844,780,512,952,582,829,
460,480,377,128,156,336,070,841,853,043,605,147,227,842,079,219,940,663,348,
005,643,285,337,120,289,439,565,957,542,616,080,656,314,911,097,604,528,552,
343,082,376,432,578,850,074,006,906,338,554,514,503,028,856,102,803,636,139,
880,790,902,019,424,011,693,721,280,623,087,103,280,269,310,080,282,423,005,
781,967,788,385,298,495,009,283,957,340,824,082,098,205,079,985,411,306,378,
884,236,719,689,041,381,323,443,100,353,089,606,864,402,806,154,909,235,912,
141,603,744,471,113,770,408,720,965,287,795,847,279,943,410,863,291,258,460,
961,949,952,142,922,616,847,091,053,277,969,747,624,581,578,931,386,541,788,
170,378,570,554,340,668,667,539,701,505,399,169,375,257,139,981,159,174,933,
754,387,048,174,780,709,046,620,580,653,631,148,080,658,914,981,217,744,800,
389,054,367,874,894,183,342,889,035,533,290,392,754,763,526,692,323,403,787,
579,869,411,039,964,233,860,791,369,984,491,369,386,757,514,349,048,231,876,
480,255,579,314,867,484,225,537,392,955,359,411,181,726,777,442,832,670,573,
705,092,931,119,596,357,974,092,209,562,844,764,190,944,066,165,811,294,683,
672,391,421,054,806,412,085,449,939,206,402,252,595,579,743,653,327,027,552,
290,283,815,713,750,040,515,284,354,522,936,918,346,880,997,950,228,073,177,
144,041,980,773,471,769,379,432,436,169,234,159,641,148,057,215,833,880,640,
505,066,631,395,992,356,016,107,717,002,602,697,632,846,124,637,622,384,776,
275,587,258,261,596,759,196,813,544,549,322,054,663,760,185,828,141,669,216,
773,822,218,021,894,754,163,356,941,870,298,071,306,681,927,739,311,907,028,
580,496,491,889,352,653,662,408,945,198,845,909,700,597,375,337,598,618,545,
883,483,689,387,793,770,191,556,024,795,163,223,992,113,316,716,570,184,494,
032,193,081,762,983,449,489,030,484,420,075,826,961,983,640,655,020,269,744,
410,838,464,807,723,763,045,490,824,107,946,066,642,073,339,650,739,991,390,
005,373,802,489,578,294,536,520,190,896,779,734,275,608,391,556,868,388,264,
126,736,928,285,810,138,465,894,384,676,620,784,674,654,895,688,741,674,888,
127,632,282,853,093,564,985,172,014,475,479,222,281,079,489,135,126,807,148,
228,511,718,176,895,254,445,863,574,718,242,235,922,205,526,697,275,962,571,
138,385,638,024,746,336,553,478,953,728,811,882,794,360,156,484,607,358,329,
622,326,139,646,628,522,703,517,820,080,348,934,362,186,726,081,935,231,456,
539,381,367,800,282,901,670,104,439,603,411,392,862,524,923,747,211,972,025,
292,077,198,693,731,354,968,312,377,171,301,917,686,779,658,766,149,331,924,
976,903,044,230,388,964,270,119,476,753,374,746,343,804,561,320,227,557,019,
055,748,262,300,792,011,678,268,231,998,655,717,019,506,798,213,763,686,375,
933,924,725,652,699,127,683,845,366,150,754,181,374,462,421,084,891,908,315,
996,252,244,423,646,392,328,819,147,294,590,224,958,449,479,564,531,314,252,
081,054,583,194,184,690,345,290,257,964,341,152,693,702,739,702,894,156,084,
062,107,809,055,355,721,988,140,400,025,225,070,824,592,913,468,310,289,311,
988,724,324,346,651,827,663,512,276,450,853,004,406,359,130,965,553,960,777,
597,121,999,337,057,449,575,195,531,877,582,526,412,165,977,132,026,738,539,
052,171,151,852,904,747,359,370,564,338,470,586,529,280,583,008,520,079,860,
345,585,357,861,373,570,723,644,569,274,222,626,093,299,267,659,944,576,321,
624,773,281,832,532,155,390,179,109,815,705,658,547,496,508,344,121,977,408,
297,742,346,327,599,142,182,429,573,054,296,370,281,519,880,122,393,047,368,
036,904,617,717,759,095,040,004,171,627,947,707,973,322,223,181,300,670,305,
775,793,872,156,912,433,035,797,644,205,326,164,612,558,098,297,075,602,871,
609,409,133,626,612,238,399,930,574,978,654,758,450,408,017,909,539,052,585,
933,166,082,629,444,291,973,690,106,435,380,518,841,811,795,285,021,037,978,
607,146,180,609,969,721,065,141,244,351,285,060,745,312,661,057,083,928,453,
315,154,803,123,006,054,204,872,767,132,482,813,356,100,025,122,766,726,375,
871,076,674,471,255,167,401,325,582,049,920,026,757,473,825,163,537,431,207,
644,474,866,778,020,490,817,634,711,717,834,118,458,025,000,881,946,235,444,
210,648,683,520,015,103,544,675,759,637,485,547,882,143,499,504,989,078,401,
401,606,492,043,138,232,272,395,100,714,610,147,155,204,211,465,870,478,103,
198,273,409,537,177,526,217,045,722,683,439,365,464,916,060,513,250,710,422,
313,857,113,660,783,163,657,548,223,115,091,212,218,231,998,914,985,720,387,
315,513,300,885,956,491,721,898,647,631,602,031,500,404,551,908,710,450,003,
173,580,615,470,114,187,510,175,028,451,081,021,604,506,112,502,877,119,788,
023,690,468,211,692,207,455,347,689,206,784,495,605,639,138,250,423,622,019,
962,505,830,668,088,222,036,496,817,269,736,159,269,283,966,905,906,702,332,
964,127,340,587,826,063,612,912,847,517,955,686,396,791,799,422,981,907,719,
569,022,471,513,877,571,715,772,287,665,989,284,662,802,325,570,107,294,247,
932,814,164,515,375,107,763,870,296,164,037,223,274,587,792,061,441,177,223,
388,608,951,771,667,368,864,833,116,075,951,691,226,394,832,636,567,120,261,
503,738,812,638,075,665,280,767,561,672,273,583,127,291,158,650,486,959,552,
827,159,777,133,941,827,601,465,863,850,740,021,990,683,550,025,772,434,585,
367,574,111,776,065,822,290,124,333,119,797,367,813,872,127,779,695,717,297,
615,037,887,018,886,888,371,706,994,392,684,793,523,564,439,225,764,629,261,
054,728,590,448,401,229,769,380,709,909,011,441,140,676,693,395,783,162,931,
378,941,326,070,763,742,002,059,334,982,532,812,436,692,364,561,781,530,860,
957,384,309,687,670,239,221,962,724,412,389,970,376,069,898,017,433,264,923,
668,777,888,872,626,279,354,769,805,036,525,834,619,382,426,157,116,410,647,
309,150,042,347,603,138,865,256,444,441,820,554,810,221,800,233,428,681,391,
882,203,768,047,805,856,232,240,126,444,588,400,559,565,685,689,112,067,988,
037,546,823,674,150,075,794,679,210,072,033,048,034,379,982,689,667,643,763,
978,610,599,738,558,305,737,698,945,032,230,465,306,105,242,225,064,634,617,
737,056,973,209,148,326,921,797,992,996,007,235,505,213,982,663,266,739,995,
318,736,958,481,421,286,403,801,580,350,625,056,760,289,966,307,396,980,536,
733,201,474,108,714,749,927,276,663,924,781,423,788,965,273,935,019,660,062,
672,392,857,614,268,153,674,389,982,723,688,667,491,610,179,514,126,269,044,
767,075,195,197,676,228,191,256,573,596,243,748,317,603,136,821,349,119,045,
683,881,322,401,181,213,671,489,108,881,559,490,665,648,115,016,822,770,676,
147,898,101,870,937,310,355,150,640,840,150,765,665,542,332,324,327,594,474,
077,445,411,599,575,295,295,193,869,655,571,977,631,412,294,877,828,278,729,
231,970,149,191,855,088,897,307,008,031,179,041,388,049,152,728,368,995,774,
307,689,812,655,218,597,708,984,317,078,724,157,481,132,130,453,368,065,876,
755,317,637,679,725,066,180,570,842,679,446,848,423,493,269,696,728,340,256,
964,905,178,159,678,788,374,396,278,953,354,304,335,727,488,550,345,250,572,
322,584,782,401,363,540,121,043,123,005,868,582,169,703,939,176,228,067,933,
254,903,816,444,761,775,707,228,380,077,651,130,895,023,120,328,270,628,899,
367,469,183,951,670,884,460,839,754,682,946,392,264,331,356,204,959,839,496,
848,489,879,453,038,920,334,040,302,057,663,570,760,187,263,992,391,243,760,
376,502,603,558,698,338,311,278,060,414,507,143,067,826,396,994,715,128,547,
484,937,076,663,833,775,769,022,458,076,957,064,279,977,769,888,319,298,510,
557,702,156,601,335,281,740,965,952,032,433,034,900,411,894,767,341,377,999,
022,528,305,655,394,392,799,239,905,899,878,422,898,393,460,618,785,478,946,
495,417,112,926,242,492,674,806,549,297,953,114,734,186,691,286,360,483,143,
559,168,981,718,330,498,823,844,369,663,121,093,684,047,153,537,180,378,900,
204,659,219,033,648,493,490,008,545,867,259,543,965,180,960,395,004,287,442,
456,899,930,293,151,817,682,088,955,328,954,517,742,605,253,657,340,182,409,
282,950,063,237,253,175,751,584,774,690,407,974,398,913,077,232,331,640,337,
095,585,170,106,386,635,614,485,520,771,397,846,212,491,485,697,316,526,528,
074,002,324,640,632,134,445,239,828,312,254,208,629,486,702,912,049,903,130,
575,496,674,106,285,415,461,506,251,628,097,473,815,545,814,833,914,456,502,
407,591,217,641,292,863,856,285,534,205,935,283,567,894,891,809,012,750,894,
679,426,964,721,275,561,619,620,472,812,534,322,759,127,604,821,129,296,122,
598,388,550,302,126,175,333,608,619,128,897,574,927,262,515,829,277,392,121,
827,813,519,549,807,622,904,497,815,473,454,426,604,305,296,835,065,277,991,
630,659,052,655,106,577,847,765,735,716,997,105,176,700,496,177,527,902,310,
145,948,917,048,736,867,023,691,919,222,343,050,866,062,597,954,286,414,895,
413,972,724,664,616,943,420,132,926,322,387,605,689,475,558,028,298,162,026,
828,681,003,012,427,379,055,559,864,462,065,878,755,895,816,575,656,868,827,
519,290,700,092,260,897,958,078,833,431,817,958,176,277,607,970,978,039,637,
907,365,789,787,867,883,764,530,842,028,934,071,897,243,900,482,088,544,071,
814,229,635,865,497,691,107,030,931,858,008,789,435,988,377,842,616,790,429,
761,150,448,535,822,027,424,245,984,920,574,748,979,455,975,212,844,484,335,
797,143,268,133,115,893,157,980,861,633,989,689,288,433,115,137,112,751,457,
724,709,764,512,471,816,139,344,492,272,268,620,799,941,478,664,806,417,030,
863,632,343,849,747,634,091,896,052,307,682,883,460,343,326,626,180,650,425,
680,314,380,990,729,924,066,113,740,972,483,230,633,778,401,407,763,227,805,
339,589,154,868,542,973,247,593,769,952,343,313,814,528,625,812,550,233,876,
076,282,054,451,549,722,222,478,877,138,037,407,917,932,961,698,689,954,431,
191,149,057,468,911,936,073,174,735,806,092,953,990,877,725,481,204,554,217,
755,523,448,295,482,941,115,026,636,428,699,561,835,946,765,385,457,518,306,
261,960,805,299,567,062,073,985,128,567,733,239,874,149,303,540,146,878,143,
319,307,409,244,251,930,407,184,053,585,554,850,313,853,573,929,093,180,275,
335,359,069,654,140,573,721,747,331,276,174,108,922,749,015,449,935,845,700,
715,024,806,625,699,897,818,798,913,915,862,993,674,188,516,919,174,519,056,
608,861,109,070,931,197,392,092,255,515,178,709,089,837,743,209,746,568,080,
653,016,095,741,335,571,985,549,649,027,323,552,763,116,222,537,621,914,693,
916,478,137,465,319,452,146,177,957,241,309,935,429,516,364,270,151,708,366,
996,565,680,019,362,371,927,410,191,708,176,932,445,421,857,589,009,058,487,
089,083,922,469,600,933,712,155,838,587,441,388,702,460,742,936,465,963,970,
885,242,994,628,081,792,023,411,285,084,122,633,146,001,660,533,291,852,403,
774,858,570,961,653,216,405,710,521,409,380,812,711,432,418,005,927,935,329,
169,983,296,479,252,335,835,848,183,694,083,928,569,064,903,264,908,969,201,
335,992,701,825,413,880,490,553,829,523,852,560,828,154,506,861,072,319,834,
836,979,737,464,466,729,605,157,783,920,969,402,530,908,581,280,731,622,756,
179,726,795,192,301,807,672,634,293,745,976,116,975,467,082,819,107,416,265,
413,525,166,603,439,152,990,740,647,204,124,822,753,516,674,216,836,402,909,
229,368,135,541,888,443,799,017,679,516,993,572,703,693,225,475,452,144,282,
824,634,144,689,536,007,751,996,229,712,454,190,254,402,692,592,062,863,180,
006,143,767,813,659,686,286,472,402,708,039,929,758,490,396,648,464,447,174,
145,664,158,071,017,297,559,944,329,347,952,738,323,325,603,800,733,301,515,
356,760,883,644,656,780,233,124,912,107,808,178,383,890,510,871,766,663,547,
048,972,353,874,025,252,264,682,336,965,694,693,009,798,805,166,868,225,970,
231,137,052,669,627,620,153,407,359,091,537,416,746,235,311,128,290,244,902,
365,917,122,146,519,229,558,088,814,753,736,828,470,045,042,562,490,678,015,
836,734,131,247,682,853,257,629,568,139,616,967,347,576,938,762,511,604,987,
239,335,762,996,639,472,968,070,816,117,848,831,727,495,732,550,760,278,297,
167,072,570,119,335,480,905,487,507,922,711,828,544,990,346,620,890,148,943,
091,827,672,208,929,145,842,402,943,440,494,996,860,768,208,513,235,903,268,
211,463,250,646,164,045,595,455,981,020,313,625,955,924,379,800,267,278,176,
984,873,384,302,648,769,734,240,025,955,996,406,707,790,759,470,361,109,709,
759,940,579,696,461,940,511,719,674,688,150,570,244,249,404,043,546,519,438,
621,562,332,952,582,415,751,930,567,457,947,627,810,567,318,936,337,209,255,
766,170,959,968,722,591,203,055,201,499,665,523,553,905,598,788,320,578,072,
632,321,284,233,106,184,907,940,246,975,666,382,591,671,938,775,596,268,331,
617,252,467,529,148,535,305,533,430,464,549,383,489,516,650,095,776,846,053,
780,070,983,939,544,423,585,375,546,145,680,926,486,091,048,372,682,442,066,
094,065,879,315,897,062,740,202,659,466,195,257,576,285,991,662,418,287,280,
446,399,029,264,922,625,091,870,108,434,681,337,727,399,748,877,407,554,250,
564,613,910,159,064,345,530,791,263,871,114,090,441,036,118,475,534,378,824,
061,218,641,599,641,562,565,417,792,425,350,661,868,292,531,334,015,174,456,
776,359,678,939,440,628,317,402,444,225,680,522,766,045,519,331,132,387,407,
518,115,275,939,829,720,463,663,190,966,120,672,587,818,021,227,623,189,855,
811,110,927,760,310,051,602,925,342,934,224,722,922,993,314,119,828,850,363,
715,342,385,555,795,754,943,030,318,912,046,611,583,500,333,202,281,322,790,
743,534,579,407,710,595,436,176,684,755,184,860,420,795,691,632,418,946,588,
131,229,388,085,058,703,085,035,223,221,402,974,087,561,479,019,565,315,476,
135,361,161,424,518,052,197,265,846,994,018,221,861,224,215,662,263,423,549,
872,117,719,037,755,975,059,986,269,178,536,666,335,676,067,457,207,508,440,
505,313,619,611,480,294,075,796,445,554,481,691,797,494,158,921,429,264,384,
438,162,575,435,843,886,096,001,187,264,394,962,679,969,832,220,447,997,391,
586,639,500,435,410,320,122,831,688,823,261,457,128,709,017,951,798,647,617,
134,115,291,013,192,802,737,501,980,123,308,551,087,977,850,424,829,912,477,
214,492,171,317,659,204,458,663,233,781,602,965,725,417,178,831,571,070,619,
674,070,992,486,820,178,433,054,959,510,407,067,175,843,503,577,848,656,957,
519,934,874,979,110,012,515,282,525,029,245,209,572,852,193,824,615,503,970,
180,675,767,776,266,506,992,055,991,891,854,829,421,545,872,577,153,557,032,
952,320,117,124,119,205,091,492,372,928,977,808,198,909,924,937,404,865,833,
364,610,706,616,833,773,309,168,355,105,148,957,216,236,953,225,533,345,685,
965,140,547,759,390,856,145,630,960,023,312,355,840,151,836,910,030,876,519,
099,846,862,622,948,064,564,983,165,262,320,696,593,283,122,661,999,592,556,
594,911,344,602,569,701,455,624,856,062,724,316,634,953,430,100,765,497,329,
685,478,907,934,084,079,509,374,273,484,352,158,318,439,487,106,797,018,525,
433,201,817,083,027,155,120,950,409,188,136,615,126,376,203,725,831,499,728,
498,993,891,567,167,337,977,407,933,367,569,741,270,897,903,826,265,221,983,
211,323,170,438,792,516,196,729,507,022,475,741,993,171,682,283,682,185,363,
937,846,670,721,373,992,177,006,019,329,788,054,748,203,565,161,752,048,426,
388,830,406,427,187,034,765,327,686,836,846,102,272,887,558,200,789,224,617,
107,560,249,156,416,821,472,780,602,425,604,491,668,282,985,550,700,062,539,
978,446,838,063,556,944,289,652,220,350,799,384,046,697,763,759,805,344,189,
274,937,608,502,815,758,221,345,479,057,597,689,508,006,564,932,450,735,870,
436,846,639,973,968,892,697,418,177,310,526,391,916,573,892,546,866,947,047,
875,436,597,563,781,712,868,748,140,694,062,917,412,798,687,820,925,501,625,
453,312,156,079,076,732,581,481,497,291,714,625,750,885,109,702,276,007,769,
941,587,268,979,244,022,487,089,530,605,172,644,666,199,183,285,578,782,786,
759,027,864,303,672,214,450,669,597,475,551,913,993,006,390,869,981,999,983,
480,080,942,124,294,031,622,932,021,895,855,766,002,364,480,058,063,135,460,
517,179,657,003,066,166,030,369,783,420,239,962,398,005,070,337,803,000,572,
953,622,044,512,959,819,121,172,915,588,056,389,575,804,106,559,040,834,293,
738,323,726,928,371,529,775,642,144,041,561,618,399,721,888,681,667,392,718,
432,663,056,327,509,697,697,187,603,954,827,809,017,149,777,568,209,176,047,
934,069,062,199,112,876,988,422,125,407,359,610,248,556,460,463,172,672,219,
098,002,482,726,604,463,742,548,276,066,867,209,810,733,971,533,690,303,455,
495,223,328,381,803,304,786,937,263,101,185,231,458,053,317,832,962,188,655,
517,991,252,110,937,790,248,743,868,826,601,952,634,328,034,941,908,486,026,
595,679,798,719,028,232,983,227,429,422,915,457,691,202,571,585,865,149,181,
382,026,713,901,664,257,366,060,591,771,118,568,850,198,121,845,537,070,251,
671,417,993,434,859,409,838,616,794,802,866,059,068,706,419,784,196,724,291,
724,546,930,529,419,515,823,944,166,741,828,793,762,240,159,393,316,489,934,
262,522,705,435,130,056,391,475,394,403,991,758,549,068,157,509,142,969,686,
016,051,018,726,572,113,120,568,368,111,526,159,305,575,935,420,354,510,165,
891,169,519,669,462,621,279,629,700,977,972,050,458,217,353,003,732,022,281,
787,957,536,081,110,529,732,849,916,815,156,582,235,143,394,048,309,758,316,
660,614,612,736,633,758,845,374,076,142,505,609,881,332,508,154,333,253,114,
287,778,110,990,518,885,331,714,130,060,998,991,697,121,390,595,343,953,114,
734,221,099,654,967,565,355,081,541,781,936,667,123,216,090,963,677,858,073,
011,070,513,827,973,163,851,793,402,165,216,516,610,824,816,109,728,058,142,
774,753,548,043,841,575,580,786,465,328,059,291,923,012,046,068,226,735,834,
693,538,034,256,355,752,630,785,981,522,245,467,124,569,966,279,867,747,641,
512,032,738,911,939,806,756,554,413,615,005,653,072,353,876,119,987,821,955,
623,435,703,735,189,746,911,726,862,605,431,324,794,501,268,211,992,621,716,
514,920,554,890,072,583,504,587,040,229,145,311,301,191,213,646,423,187,786,
078,625,658,536,865,109,951,778,128,691,993,040,668,159,221,807,619,179,420,
969,797,866,089,292,820,659,735,376,859,568,587,255,643,457,871,086,869,665,
348,201,494,471,711,621,505,849,532,225,627,545,227,992,825,905,961,219,489,
654,114,044,137,080,863,191,743,616,161,712,703,664,315,099,131,834,759,673,
357,306,180,505,486,065,667,064,322,106,373,153,783,916,840,125,415,246,078,
232,932,625,659,045,961,777,014,539,487,564,364,987,604,582,238,487,618,936,
419,955,332,421,814,358,274,971,366,006,299,863,371,547,816,261,009,871,539,
650,024,506,477,450,516,369,432,052,867,822,437,947,194,032,615,673,908,562,
428,610,164,092,709,844,972,974,714,896,052,133,693,781,814,785,029,772,152,
791,359,384,874,422,893,996,560,392,174,702,499,355,726,502,884,402,975,374,
310,447,289,781,249,700,351,363,802,474,584,331,356,103,812,221,918,652,661,
732,985,795,091,198,659,849,050,859,149,874,626,841,164,662,635,151,937,585,
983,612,406,812,749,536,333,475,277,753,745,404,073,768,889,680,863,838,039,
938,026,495,287,540,007,716,449,183,998,678,753,967,060,107,366,989,746,342,
039,759,646,444,008,724,003,406,281,190,873,914,259,365,815,563,608,503,328,
165,562,415,336,928,412,909,855,983,480,066,403,893,253,956,226,153,344,798,
031,626,819,682,570,546,826,608,804,905,956,857,067,978,511,971,320,728,616,
897,375,067,283,137,697,026,715,078,699,164,282,082,480,330,860,015,983,523,
390,862,839,049,579,503,306,942,114,335,596,348,974,895,630,086,227,648,569,
229,395,075,085,377,311,403,493,704,694,267,184,611,831,762,868,645,383,863,
814,657,160,842,902,476,974,171,901,389,725,334,169,265,354,703,455,426,770,
214,147,945,099,990,854,002,156,449,729,001,850,027,238,912,620,477,024,424,
802,906,326,958,890,886,841,936,566,176,774,899,765,583,359,388,492,493,653,
881,924,900,811,638,232,511,407,583,709,495,073,624,602,341,052,119,147,034,
188,856,828,432,723,077,028,150,290,787,227,915,221,659,086,725,569,721,039,
808,179,182,004,353,499,643,130,797,554,434,404,764,718,409,276,838,332,088,
179,136,327,500,666,616,732,956,838,397,524,055,058,534,842,005,062,022,241,
762,787,302,152,155,983,643,125,611,013,798,332,511,988,054,162,840,374,804,
929,896,820,542,881,610,709,422,941,977,814,488,686,885,548,117,591,306,634,
432,756,141,318,634,063,223,120,119,561,195,290,607,539,365,084,399,637,646,
121,067,394,395,027,650,876,167,629,298,003,339,987,081,748,810,999,818,182,
159,895,515,113,351,658,171,994,939,123,299,568,784,726,746,502,733,501,503,
879,594,132,898,396,020,513,789,343,811,517,390,478,642,746,131,079,735,774,
193,266,196,497,107,261,541,163,567,532,942,897,164,987,166,682,035,166,519,
386,876,237,828,343,369,752,560,244,978,278,579,982,083,880,634,879,009,826,
869,817,131,569,057,869,042,185,372,145,081,872,398,990,538,816,700,364,319,
411,687,025,093,041,275,034,397,072,358,760,811,812,774,554,593,169,425,467,
818,248,052,073,586,564,389,141,439,970,733,818,077,275,260,263,893,410,963,
606,818,878,005,942,948,918,167,647,020,577,930,840,848,475,538,873,793,829,
966,675,951,932,348,795,440,755,827,839,899,381,668,214,752,202,745,253,194,
576,192,258,728,141,084,975,234,699,510,010,742,533,649,283,384,421,752,461,
008,186,257,065,808,722,497,757,028,674,363,216,946,483,211,940,000,074,065,
505,312,741,959,480,273,380,103,539,621,006,757,123,823,384,014,401,475,875,
616,879,839,324,397,177,887,070,458,235,460,761,327,076,535,209,209,081,852,
371,232,446,836,250,964,375,401,988,768,543,049,705,570,839,400,232,597,325,
144,886,097,179,156,079,119,077,964,090,109,857,715,817,626,960,672,924,812,
614,805,081,730,606,788,397,210,485,290,573,118,337,135,915,524,532,002,918,
720,105,231,606,454,343,113,614,921,866,700,515,945,922,584,312,673,382,376,
951,403,520,520,430,944,782,678,424,323,105,167,290,010,286,081,126,777,422,
463,906,068,486,787,074,417,694,284,791,595,524,119,869,031,164,684,961,780,
392,347,839,010,607,823,668,742,827,495,623,412,301,507,709,445,486,310,146,
445,100,551,888,885,150,889,517,204,684,764,715,714,302,705,596,139,369,580,
313,488,424,003,764,456,272,708,062,381,711,874,526,792,808,962,628,079,064,
324,461,793,182,654,478,362,523,646,995,183,047,960,826,740,266,621,312,973,
277,550,930,050,732,178,584,345,091,095,352,072,674,415,070,472,462,390,183,
949,945,820,921,372,502,159,456,935,948,304,493,005,210,007,272,614,770,218,
059,480,407,831,639,357,417,384,154,996,745,449,159,883,975,524,849,691,782,
350,999,269,560,313,985,982,020,271,980,916,249,402,751,153,692,208,852,797,
952,638,716,596,500,632,488,844,836,767,752,470,383,814,595,447,359,459,651,
672,215,400,776,808,363,573,164,255,235,037,867,463,562,757,010,420,619,551,
223,246,435,172,061,161,802,222,009,476,486,602,216,152,068,475,232,342,495,
909,135,403,080,423,590,621,097,555,574,286,732,916,099,042,590,650,543,828,
539,706,125,517,128,481,576,465,884,665,595,536,784,717,423,367,443,264,488,
252,072,981,276,806,782,384,559,834,581,490,462,728,659,900,175,644,835,584,
248,353,507,781,379,837,038,075,759,672,193,225,251,282,393,506,004,314,263,
941,602,354,215,633,811,087,605,386,742,387,803,179,392,994,957,640,094,226,
637,328,500,966,170,664,925,378,774,266,244,477,842,248,370,720,100,303,509,
442,752,399,237,945,815,101,391,837,609,130,857,639,670,826,995,860,729,903,
559,799,327,402,052,082,505,901,877,960,736,284,367,776,087,803,834,955,923,
356,717,534,876,227,781,845,007,519,064,877,794,092,016,617,581,068,039,398,
910,270,388,781,862,084,005,478,354,824,107,493,713,918,897,809,616,541,484,
917,036,551,489,113,759,640,858,283,913,617,638,282,223,606,323,658,096,224,
122,258,492,958,485,809,936,938,368,958,407,107,935,773,535,485,286,566,982,
201,087,340,250,985,826,758,949,225,400,579,153,866,768,103,207,372,508,667,
075,687,467,323,745,222,442,961,478,666,794,650,491,723,858,127,865,441,845,
623,253,596,608,564,191,310,516,498,814,247,781,611,857,307,069,944,416,900,
190,619,929,666,213,662,877,300,375,640,805,154,527,353,637,807,972,617,930,
207,112,783,529,794,764,772,142,190,612,787,166,397,518,441,659,963,024,876,
632,000,128,117,107,853,876,282,068,061,608,304,342,639,072,963,150,412,048,
468,625,942,460,939,514,196,975,052,160,623,485,357,231,339,787,999,627,721,
680,054,307,333,667,678,498,059,800,105,974,697,216,816,249,176,897,721,549,
190,426,494,827,599,575,136,809,867,279,019,219,643,950,899,065,894,106,258,
084,761,102,885,394,202,844,290,289,265,048,673,510,180,618,781,922,384,050,
721,346,230,977,224,610,691,662,265,962,793,531,631,376,214,386,329,071,921,
295,376,446,164,550,190,932,770,194,851,410,670,862,200,888,778,897,807,950,
084,204,994,883,895,587,049,234,921,165,099,123,529,237,022,761,975,383,384,
127,735,967,427,181,639,923,316,902,361,756,449,961,603,814,694,410,634,305,
912,497,696,130,019,734,499,861,023,574,721,169,977,575,507,872,678,708,695,
725,391,100,526,104,154,235,103,288,987,012,588,260,572,625,046,994,620,203,
534,305,030,326,515,756,888,762,780,711,617,064,813,300,567,866,001,239,566,
794,484,833,776,680,696,701,706,541,527,094,673,248,716,602,107,376,340,239,
801,748,580,478,248,081,443,073,804,313,089,713,626,924,769,650,238,177,453,
834,794,856,260,670,814,943,535,200,357,805,029,693,552,139,344,946,193,655,
170,956,654,902,195,855,744,104,894,568,087,738,183,857,278,487,285,014,971,
180,021,125,200,451,144,148,010,735,663,003,013,232,112,659,945,388,350,683,
009,865,619,474,751,870,496,436,423,669,138,895,525,504,226,454,548,105,255,
321,667,572,783,719,531,178,846,887,228,819,672,101,559,869,075,334,803,231,
623,839,898,038,080,759,362,498,541,784,183,164,724,129,411,973,283,276,092,
872,638,331,106,958,585,980,904,384,326,539,388,363,968,566,135,768,165,318,
135,084,732,643,515,926,343,782,185,592,820,581,683,827,363,771,581,730,456,
642,396,502,226,381,742,293,631,458,203,631,010,002,524,181,552,855,880,605,
901,031,642,429,367,942,156,075,076,817,486,953,568,668,585,694,549,254,650,
174,219,829,784,912,539,958,357,368,742,239,940,965,699,701,629,531,080,317,
166,535,706,515,164,215,973,168,194,173,434,325,185,566,083,878,841,002,510,
569,559,521,741,358,925,975,233,188,921,984,530,464,263,595,924,479,609,554,
725,047,795,313,385,226,768,858,327,386,574,984,182,320,595,315,633,692,096,
103,901,253,874,908,971,885,187,071,590,761,248,041,276,915,109,354,033,054,
776,887,832,250,992,060,967,762,381,489,290,606,195,186,740,092,507,784,750,
060,741,661,793,927,847,724,962,745,553,568,664,982,979,639,837,699,568,142,
198,885,174,108,960,226,728,122,726,537,853,551,173,223,138,781,471,173,581,
371,484,195,095,807,187,333,611,512,970,151,615,662,331,770,039,904,177,016,
658,484,498,752,984,717,950,897,433,109,187,964,988,327,004,678,029,924,181,
644,034,469,230,743,556,410,203,183,894,851,565,464,799,961,582,483,281,870,
355,068,392,268,042,877,638,348,416,691,216,519,048,877,475,266,786,327,875,
254,919,195,155,535,662,207,339,869,041,611,825,519,849,008,329,202,644,310,
329,784,210,780,243,819,065,989,276,422,648,663,167,453,735,722,381,838,368,
014,136,791,551,155,449,938,832,197,828,527,384,933,197,434,427,215,660,248,
726,428,869,776,251,685,347,967,542,772,563,003,118,103,092,050,931,284,416,
181,786,009,092,531,515,769,884,079,696,390,678,075,264,726,814,218,692,656,
808,130,602,836,128,593,451,808,221,145,579,513,507,840,856,681,996,211,136,
724,827,032,279,143,498,735,885,977,113,978,127,333,515,710,203,364,859,949,
382,023,416,857,602,873,359,825,959,170,213,427,169,243,568,675,367,029,275,
052,030,101,666,360,111,678,587,794,354,116,269,205,869,237,096,446,714,313,
094,823,372,192,270,138,047,921,184,081,599,842,871,787,003,341,136,950,962,
012,706,973,543,708,248,318,363,034,286,022,208,111,398,396,220,551,658,297,
102,680,067,295,496,087,831,808,170,762,937,224,910,881,055,759,353,639,721,
690,959,549,557,949,448,718,222,155,867,935,138,317,467,052,429,312,426,585,
973,387,922,225,643,412,045,426,441,868,048,055,661,114,707,843,335,237,785,
176,192,043,003,900,407,516,759,586,980,760,195,461,412,361,368,375,400,162,
220,562,221,192,635,360,724,778,483,898,820,540,348,615,226,637,148,132,686,
821,731,872,297,879,797,989,169,188,622,420,614,346,823,957,238,737,561,726,
736,751,163,633,156,070,191,916,327,652,465,670,874,148,025,591,141,542,794,
253,209,404,199,816,706,246,110,536,846,041,272,653,370,086,534,055,948,908,
515,323,807,477,846,528,159,841,876,777,553,263,991,125,217,502,374,131,056,
241,824,305,304,515,389,050,801,905,209,349,334,268,056,102,207,446,150,655,
706,386,631,192,290,778,303,311,382,916,076,900,429,998,440,325,767,200,629,
016,752,625,801,442,394,193,283,809,092,811,738,239,633,794,168,553,364,472,
661,605,004,164,273,204,120,196,085,728,316,005,568,930,091,742,886,733,730,
150,748,313,721,492,893,879,937,113,274,014,015,936,356,996,353,465,920,820,
758,092,845,849,479,736,518,852,226,275,681,559,677,852,098,415,675,013,681,
593,377,270,233,967,001,225,229,480,524,807,938,744,090,891,981,105,923,997,
287,816,434,420,476,456,270,900,167,574,719,980,307,694,057,001,762,687,584,
855,639,728,152,345,594,582,115,407,816,539,365,225,817,142,669,690,445,951,
645,543,761,791,552,267,917,746,110,729,408,752,638,530,642,638,794,211,569,
055,907,967,535,506,607,898,148,968,165,677,397,894,913,549,386,036,839,996,
068,167,974,549,364,089,156,476,197,902,667,667,547,028,936,129,178,602,431,
238,777,997,118,888,225,410,737,986,800,698,298,899,123,485,929,177,413,720,
369,322,719,868,919,254,766,921,794,805,129,405,426,479,960,443,640,214,163,
327,307,298,116,654,363,407,401,433,625,766,520,443,325,196,137,486,004,184,
806,984,607,758,722,620,091,786,380,539,161,206,232,540,130,062,529,969,514,
532,072,754,378,375,466,369,546,123,026,918,644,053,439,057,413,502,692,271,
404,691,354,634,096,371,651,394,633,949,162,655,147,442,210,585,499,087,152,
489,688,681,986,014,660,625,241,991,850,277,468,546,747,238,718,933,224,545,
843,059,585,228,000,527,450,350,831,802,531,826,814,757,334,483,892,074,141,
512,479,308,161,781,630,981,575,973,854,184,918,305,148,875,210,578,347,100,
458,855,747,280,745,818,383,134,779,778,696,040,825,837,083,513,742,062,906,
327,873,859,735,108,619,554,115,600,532,548,701,769,954,296,255,366,441,634,
992,921,240,146,633,509,946,783,702,339,465,708,864,998,315,756,812,663,771,
459,783,680,473,760,204,287,652,217,331,534,293,030,548,202,087,760,519,965,
795,093,941,474,649,031,097,255,249,337,099,230,829,494,543,869,479,275,524,
066,372,506,166,080,628,398,563,619,905,569,276,438,510,199,381,577,156,614,
531,418,015,826,994,119,703,138,491,944,714,499,343,808,256,692,360,256,769,
726,391,489,663,794,953,635,178,527,873,009,639,516,922,855,879,241,626,373,
972,044,362,004,755,620,343,795,689,108,370,339,007,780,474,206,201,356,646,
114,786,581,644,111,148,966,611,112,385,837,617,920,863,320,728,725,249,990,
917,477,149,109,815,600,395,884,977,716,708,808,683,882,191,109,704,807,186,
320,393,103,736,077,464,030,379,762,829,602,342,955,557,766,370,370,709,443,
834,874,863,076,062,277,506,761,176,302,748,211,032,552,735,172,282,645,892,
671,532,701,632,789,379,836,563,977,586,340,442,373,805,803,115,211,326,426,
842,401,202,561,685,593,236,712,636,825,229,984,864,630,210,747,659,458,504,
470,411,420,463,217,900,518,386,988,994,295,313,568,203,549,445,808,164,114,
601,217,194,983,493,700,893,244,564,263,139,253,466,012,041,286,161,059,235,
348,357,168,974,470,885,185,212,471,744,573,707,614,995,007,011,316,210,564,
235,271,435,545,162,293,493,888,492,009,832,533,404,678,657,012,271,995,726,
608,543,814,115,393,208,822,603,633,475,058,343,489,125,272,581,414,029,275,
051,098,171,401,360,886,320,881,115,518,251,734,258,875,083,016,013,771,624,
621,336,773,784,556,328,776,504,961,838,775,821,385,630,300,323,869,417,962,
032,954,734,219,652,160,835,981,816,085,263,996,718,527,809,192,967,392,741,
641,035,227,474,509,882,557,129,983,573,009,346,292,843,883,495,496,361,652,
447,445,050,047,666,003,911,507,670,268,887,323,093,030,957,984,195,404,716,
703,704,002,441,424,687,282,082,274,743,639,346,415,842,414,977,388,289,866,
098,940,612,125,778,239,065,989,665,589,738,554,880,075,642,954,498,753,972,
194,465,743,601,291,970,077,227,144,844,349,463,943,131,301,296,913,538,244,
556,726,558,531,564,675,222,034,074,545,855,257,760,826,263,270,874,507,916,
367,822,103,304,486,358,175,266,418,330,839,137,310,378,072,519,864,474,668,
301,165,947,209,488,976,621,986,483,501,332,225,347,320,279,009,214,751,363,
308,393,804,727,197,409,840,813,180,190,859,769,229,040,920,609,214,873,170,
125,980,203,705,151,862,896,203,831,498,308,311,171,017,766,734,436,204,137,
883,836,334,017,481,153,854,988,169,596,564,894,774,915,554,310,582,021,843,
751,270,369,423,038,060,279,704,605,166,402,201,455,070,250,204,897,759,911,
700,116,281,149,527,147,765,780,269,226,166,163,471,867,702,663,137,209,423,
104,430,014,286,922,391,493,735,176,824,070,828,323,367,086,588,827,060,954,
238,536,468,868,373,772,322,232,076,898,740,191,916,367,546,662,738,075,659,
686,645,561,493,025,814,148,553,859,209,308,389,342,038,294,899,048,414,468,
134,741,756,531,290,134,937,763,407,503,655,645,441,124,564,656,353,994,052,
205,014,828,280,219,325,500,007,562,480,239,110,726,513,478,731,730,347,564,
325,860,954,123,022,944,955,545,405,785,548,224,143,619,941,837,846,020,053,
986,719,650,845,984,010,279,882,296,607,388,689,646,126,228,299,157,409,073,
033,121,465,780,533,985,630,087,748,991,125,777,308,978,369,700,077,667,456,
518,371,939,748,501,901,965,594,013,755,131,183,062,388,901,059,587,639,805,
012,392,608,184,679,210,812,026,733,209,555,343,322,141,989,974,719,938,589,
507,880,573,899,086,163,989,862,450,172,386,552,274,460,830,369,316,402,831,
858,676,435,430,885,244,801,799,747,253,247,241,717,841,616,634,956,918,070,
027,300,694,232,674,555,470,056,245,967,557,277,772,294,018,895,373,681,329,
439,203,145,674,735,769,495,374,976,041,743,903,430,125,883,453,595,143,762,
026,788,012,436,402,295,193,199,337,199,029,374,803,549,516,199,739,737,244,
123,672,321,408,937,748,476,419,762,640,181,966,969,654,179,038,551,437,864,
558,234,426,497,467,141,950,567,040,740,700,271,149,411,221,294,068,051,508,
423,893,827,114,219,319,517,627,899,771,306,185,260,978,263,978,256,234,363,
996,352,130,531,275,460,067,627,844,924,960,032,593,744,726,746,476,122,065,
492,497,946,029,339,443,929,570,325,035,234,753,101,300,682,670,779,380,501,
644,500,035,972,947,960,110,508,732,519,968,383,731,278,038,160,299,746,142,
660,409,724,885,033,936,405,507,869,282,834,764,913,333,269,907,826,212,190,
931,319,834,804,883,092,000,362,219,598,413,976,817,046,429,586,909,514,635,
567,783,135,114,787,613,535,796,838,599,898,417,466,376,235,802,272,128,992,
390,086,346,094,524,455,502,583,359,022,281,368,106,200,472,998,652,627,240,
635,984,663,565,681,837,232,293,472,527,103,303,201,033,772,707,985,222,389,
208,611,235,010,106,994,545,174,486,419,516,599,031,069,679,037,578,214,782,
220,498,220,961,900,357,729,486,748,416,160,938,869,963,299,275,051,818,998,
979,209,100,255,447,485,303,170,880,933,496,804,081,835,061,980,192,381,190,
049,493,949,275,215,156,296,333,416,969,652,554,471,135,434,057,500,988,504,
027,988,602,677,851,004,699,753,758,477,777,007,964,902,705,116,289,220,019,
089,428,614,533,212,587,757,151,736,108,030,621,188,200,790,368,015,202,113,
888,752,888,243,324,297,077,713,913,749,437,567,977,318,562,781,105,363,972,
597,212,412,438,030,714,784,025,398,605,237,355,275,015,217,974,395,297,633,
650,924,420,267,819,390,510,689,449,944,574,884,887,214,852,971,438,493,809,
360,482,512,076,094,618,702,220,458,960,818,087,980,439,368,062,669,123,145,
690,715,985,539,807,471,529,418,860,689,700,202,512,075,679,310,618,506,012,
192,845,547,825,350,158,622,018,527,498,175,725,938,300,779,471,202,926,320,
385,580,206,051,268,746,249,871,832,209,192,210,188,170,565,181,450,204,612,
422,282,269,474,469,022,748,799,563,920,061,466,123,281,558,908,975,641,150,
928,742,625,252,440,200,273,869,502,356,200,585,962,667,943,399,074,726,802,
666,365,441,591,686,711,471,249,921,356,420,443,295,197,973,991,684,484,164,
775,893,803,794,585,598,658,733,448,226,594,654,446,658,662,656,378,316,337,
678,232,674,406,175,408,659,834,785,247,144,015,261,352,326,584,643,987,123,
251,252,541,745,806,477,056,524,446,328,998,683,337,553,127,238,386,759,035,
740,643,886,509,230,919,329,112,566,555,233,538,205,245,826,493,344,410,220,
988,120,771,936,723,461,410,542,086,605,595,092,066,286,223,304,494,220,232,
323,724,987,225,607,363,834,423,466,261,061,862,469,426,778,049,084,942,944,
821,778,121,369,536,813,028,239,497,597,670,708,786,600,783,745,052,695,326,
180,449,321,986,212,790,159,346,751,591,177,000,576,935,470,818,227,940,962,
688,661,864,303,921,914,363,957,266,295,729,317,563,181,104,301,778,714,988,
899,323,988,822,031,099,620,916,011,591,510,526,246,618,450,902,822,801,673,
928,597,676,206,698,220,914,785,389,668,154,421,902,764,587,272,400,642,910,
763,250,924,871,172,763,472,073,425,117,741,496,606,917,965,176,037,214,090,
808,031,682,616,108,127,152,920,638,206,697,081,431,013,419,579,286,751,052,
269,127,775,012,259,108,312,204,711,818,595,977,782,142,416,256,630,308,942,
838,967,186,416,528,756,573,304,429,361,618,652,959,091,349,650,945,777,773,
495,189,268,921,948,258,824,725,313,137,589,280,051,977,161,120,319,329,719,
331,283,829,044,399,736,552,862,668,224,836,988,210,666,677,948,328,664,904,
687,769,315,660,999,970,618,809,287,904,845,041,797,254,931,767,929,043,906,
457,098,866,956,400,097,266,054,477,904,824,302,919,003,867,971,919,499,062,
342,155,975,344,711,959,082,697,276,133,236,019,502,956,098,543,875,982,990,
110,568,709,929,680,899,967,358,975,889,666,415,578,026,594,787,908,130,716,
893,909,127,433,707,373,469,759,982,612,668,602,865,712,680,507,370,279,863,
472,640,059,113,478,186,233,034,264,707,686,481,128,493,802,210,024,281,906,
752,615,266,248,804,838,024,257,332,808,629,849,208,836,070,734,522,683,517,
387,053,668,715,354,746,102,288,411,554,939,960,904,748,485,234,206,330,281,
188,004,052,070,019,070,883,509,259,288,316,266,000,597,502,063,538,682,270,
958,388,079,825,519,451,842,614,701,615,867,205,740,225,495,243,565,300,902,
745,340,657,657,683,852,097,616,030,999,801,849,202,218,561,782,910,660,346,
147,762,791,290,592,256,582,165,315,531,547,619,679,138,052,186,385,457,972,
858,424,495,131,478,217,995,805,807,520,451,815,845,991,238,067,352,370,500,
312,630,577,765,818,236,608,589,663,678,846,883,471,599,818,563,751,728,593,
128,216,022,285,087,516,972,183,586,313,546,463,466,842,759,323,868,862,185,
559,451,382,483,976,513,205,387,532,781,559,894,776,053,821,377,614,586,695,
483,532,258,338,109,639,192,098,970,849,354,201,363,989,134,914,281,984,091,
640,410,345,839,838,587,799,670,605,118,317,444,320,657,316,403,800,734,720,
964,568,644,307,648,965,464,125,997,654,352,529,046,504,187,217,428,498,902,
048,134,792,064,703,463,908,807,655,970,639,294,040,875,149,872,047,367,177,
720,404,939,721,730,672,576,351,496,654,861,647,577,358,913,653,665,624,083,
500,146,260,400,833,438,990,176,317,392,201,173,842,721,089,880,798,890,730,
983,830,682,289,645,835,282,459,386,480,323,110,998,922,067,263,189,484,636,
365,702,617,562,422,437,189,417,490,763,098,215,085,101,614,642,188,725,906,
520,550,422,062,725,467,146,460,462,266,488,946,968,594,498,520,378,467,547,
378,258,182,462,569,728,066,316,963,596,048,955,216,531,768,027,343,191,340,
827,180,174,844,131,627,786,001,281,209,237,881,109,578,568,943,097,033,555,
853,262,836,276,418,808,837,276,656,213,792,918,706,376,917,892,703,032,628,
392,994,563,006,462,593,841,410,395,868,448,653,324,303,944,277,713,644,713,
177,436,520,203,996,145,303,450,572,473,104,401,619,616,432,030,117,143,975,
893,881,799,299,629,005,872,552,790,614,928,484,428,845,092,182,920,412,017,
577,502,764,223,183,612,636,142,860,316,878,269,613,660,555,484,831,612,079,
958,166,791,922,080,620,613,782,519,284,830,544,564,576,285,916,869,473,691,
958,154,729,699,701,771,106,560,809,620,274,315,915,771,425,171,436,967,538,
386,809,575,134,624,655,758,856,398,853,930,469,697,486,485,195,225,821,784,
626,301,966,204,682,252,401,163,243,572,198,922,070,801,170,461,460,771,542,
605,980,934,379,347,286,714,587,421,962,938,096,582,612,440,751,166,215,678,
797,485,153,405,809,411,558,830,177,566,079,281,242,056,881,946,206,065,697,
128,679,110,804,104,599,842,135,790,386,950,388,881,604,592,696,009,255,214,
948,444,731,418,792,674,161,485,741,389,025,756,338,354,667,298,455,031,254,
713,896,929,350,514,980,484,856,925,064,710,160,887,454,844,964,774,749,088,
665,868,657,471,044,178,825,115,637,056,141,201,125,153,118,363,758,410,317,
443,587,883,077,393,669,144,965,129,872,599,868,583,343,837,967,907,445,992,
306,661,972,524,061,188,277,909,476,789,072,950,190,519,420,819,313,916,849,
658,587,478,326,392,520,389,293,481,406,193,361,186,127,429,012,301,831,796,
175,319,288,355,522,703,692,775,102,594,091,242,847,259,854,735,854,524,223,
996,809,590,683,340,967,613,129,955,746,989,696,345,318,905,939,292,909,683,
229,349,533,453,991,493,571,895,498,679,774,145,708,142,541,154,776,481,056,
414,567,988,779,229,907,061,355,475,668,320,066,004,632,297,664,057,239,662,
379,192,876,297,461,915,538,416,447,573,225,227,773,979,210,112,091,684,036,
342,606,712,900,749,593,833,786,332,532,435,986,743,379,060,160,159,258,708,
630,865,969,290,556,680,230,523,758,177,526,700,903,340,139,163,458,948,637,
821,749,397,605,677,957,533,106,523,145,585,750,307,491,197,570,661,975,265,
871,276,877,316,641,512,063,958,044,142,488,294,588,769,050,306,959,874,208,
315,171,031,140,887,208,243,284,385,829,747,566,747,280,720,508,328,524,994,
521,422,983,738,543,426,778,178,715,628,072,464,592,711,056,416,163,951,368,
097,164,271,485,882,141,935,542,389,338,339,745,555,418,198,388,343,462,162,
050,735,235,848,608,587,357,479,464,134,245,859,156,728,307,281,108,915,991,
619,452,808,206,087,332,566,200,746,594,446,985,551,799,362,685,739,694,067,
535,910,462,965,740,728,273,838,014,602,732,823,477,377,469,470,332,284,042,
950,871,945,772,280,372,140,690,785,085,042,413,335,590,046,047,376,719,738,
442,329,759,298,887,026,884,357,200,004,168,303,097,365,636,480,998,686,096,
007,073,867,266,856,671,001,241,331,371,616,471,376,787,342,019,748,074,598,
346,067,662,649,394,472,845,907,745,408,473,366,610,860,937,480,771,745,321,
039,438,009,700,819,308,035,225,071,441,845,732,318,089,245,070,205,638,724,
554,432,390,137,227,039,169,432,832,182,382,868,832,973,706,962,705,560,817,
752,157,457,628,086,489,102,607,560,587,346,436,612,551,516,459,938,046,707,
185,203,143,810,834,426,204,814,725,787,209,682,064,660,126,328,069,365,348,
688,444,521,463,703,437,753,892,574,292,146,288,857,438,677,121,416,929,524,
017,921,470,500,244,127,463,490,572,355,696,726,475,567,795,803,044,664,274,
550,882,631,851,456,109,056,822,056,190,391,352,098,835,055,847,766,814,733,
376,990,064,244,116,891,464,042,249,391,590,953,489,491,427,387,908,103,726,
040,232,344,603,178,908,416,597,779,093,526,943,474,344,639,599,052,387,611,
723,015,234,726,268,423,783,566,847,563,804,611,152,260,512,797,786,422,874,
316,463,807,249,281,659,080,902,883,011,326,598,643,342,235,756,008,677,916,
549,922,022,744,837,810,207,299,996,377,569,398,867,239,277,895,110,930,678,
297,638,551,246,235,622,774,993,296,631,320,878,179,543,687,938,108,043,977,
045,911,148,713,762,603,723,744,897,723,186,531,725,634,554,660,014,772,075,
898,049,052,743,202,856,292,153,978,157,186,664,144,816,490,835,128,708,699,
862,148,877,176,492,001,917,799,491,695,538,987,240,972,221,083,077,305,276,
008,956,892,253,827,934,330,380,548,466,602,414,821,475,096,430,167,321,444,
027,059,381,611,138,031,396,878,114,592,758,666,595,245,928,767,492,011,451,
095,844,441,325,323,471,551,413,671,801,371,931,062,126,340,493,372,023,189,
032,801,015,731,429,933,686,802,315,771,910,327,242,064,116,854,310,545,198,
298,446,075,866,005,155,744,164,111,018,850,866,658,500,322,270,333,818,100,
512,879,642,998,911,712,773,790,848,752,142,567,156,254,075,018,683,276,778,
514,030,350,141,738,062,009,637,383,766,016,460,420,613,211,190,617,039,281,
436,099,808,231,599,037,658,762,198,861,380,886,232,230,060,279,900,102,643,
361,736,401,673,011,565,022,619,577,638,753,259,800,738,665,768,970,578,634,
237,688,922,702,015,531,245,460,926,400,820,672,198,704,553,488,532,711,159,
915,960,244,309,507,239,411,406,698,554,054,944,285,310,841,694,702,899,840,
729,292,813,590,065,590,670,911,487,147,836,959,707,936,860,894,130,201,855,
488,942,223,136,811,762,766,767,404,932,813,963,538,871,947,452,585,376,535,
718,458,180,724,550,725,825,577,634,199,245,428,447,904,567,273,699,049,200,
812,465,575,712,503,534,605,600,135,057,010,972,611,151,473,907,803,305,022,
719,548,496,369,904,560,484,898,780,046,718,705,284,788,376,232,853,213,013,
314,584,974,211,961,849,663,380,914,068,172,247,581,716,434,750,856,927,650,
688,434,871,422,058,385,531,961,266,505,580,588,470,758,339,360,893,037,711,
662,837,025,764,313,408,518,983,919,798,910,492,488,507,686,730,695,021,159,
008,151,542,012,619,390,772,330,835,082,695,552,076,894,603,010,669,169,098,
296,827,584,014,240,764,647,493,197,867,430,099,299,168,811,781,032,347,759,
079,628,523,286,423,012,312,323,025,949,789,248,215,803,044,261,704,506,400,
727,363,470,580,312,805,710,639,810,011,892,442,955,389,866,526,317,700,454,
978,517,305,299,460,433,321,525,881,601,334,709,197,718,769,597,744,934,406,
565,270,863,234,033,297,881,440,425,592,845,685,384,716,489,505,938,054,467,
700,577,466,382,869,155,443,895,356,260,570,339,439,851,663,827,394,973,432,
437,195,257,166,527,637,190,111,896,508,272,754,556,184,878,977,179,599,543,
568,301,846,090,811,077,335,442,781,274,314,034,779,993,082,216,831,935,674,
185,774,496,236,079,269,392,416,639,174,663,511,581,737,170,980,807,045,960,
402,036,408,387,178,102,095,259,076,813,301,452,141,713,376,805,426,147,698,
690,885,295,628,811,412,324,793,281,882,611,091,030,541,563,235,104,750,963,
032,324,784,629,271,267,983,264,173,783,142,736,629,737,571,505,101,679,545,
545,928,041,197,932,899,260,257,992,383,521,896,582,206,955,878,092,704,585,
971,153,645,654,911,614,089,802,300,686,705,178,425,194,904,148,578,957,286,
672,957,334,611,260,445,233,406,435,163,080,808,181,755,302,923,867,841,774,
838,146,317,504,126,847,750,843,518,636,926,652,282,478,756,890,328,795,507,
192,961,286,067,285,544,407,902,063,174,190,020,771,246,897,817,945,038,641,
250,018,966,718,984,821,809,990,325,078,156,523,961,239,678,586,827,146,256,
693,034,960,968,146,101,784,219,946,455,209,947,248,076,510,697,080,755,377,
982,892,642,965,784,567,140,837,753,625,394,675,633,491,054,968,329,978,425,
609,477,552,626,872,736,374,689,446,977,585,345,579,174,469,191,729,850,772,
737,355,931,650,871,057,348,021,541,250,161,234,645,888,420,960,589,045,059,
039,259,335,841,866,790,712,857,179,391,466,918,624,325,826,461,036,253,693,
252,416,535,452,414,385,399,899,420,695,022,696,364,674,139,153,111,253,947,
570,512,205,143,232,011,584,116,018,121,332,593,213,924,023,832,126,807,708,
058,255,380,400,033,736,097,661,177,723,675,199,471,121,038,232,539,127,240,
305,691,002,296,531,674,746,117,781,632,532,021,652,680,509,710,380,519,412,
166,311,945,949,963,300,526,647,682,385,376,343,499,062,416,097,905,422,055,
284,562,624,779,688,154,839,853,329,774,827,191,645,158,793,582,726,437,289,
016,843,006,745,082,804,021,633,847,504,710,079,702,054,184,963,564,116,085,
550,154,366,127,271,349,738,968,693,673,869,403,084,504,140,748,439,702,426,
895,638,155,282,359,631,079,561,063,451,562,534,929,759,989,694,311,186,237,
195,238,098,201,183,192,852,994,119,270,999,128,913,189,060,253,412,223,982,
727,809,810,412,567,709,852,050,479,004,832,281,918,740,447,891,683,493,600,
813,013,561,214,060,288,106,890,864,397,873,468,427,112,743,564,401,002,115,
647,566,281,390,873,635,512,356,107,018,006,511,615,220,081,145,301,783,600,
450,056,490,119,108,062,308,696,757,051,365,865,047,294,235,051,486,758,591,
016,209,462,701,038,079,340,752,567,889,405,271,932,137,680,022,466,113,207,
432,684,600,538,198,791,475,311,310,144,714,672,856,917,645,858,728,305,519,
775,181,930,005,556,140,509,797,251,807,463,477,844,996,647,496,082,509,270,
844,559,236,089,042,191,667,366,650,379,748,122,470,778,691,571,360,173,349,
631,625,633,632,277,039,616,037,081,221,992,540,076,615,608,353,303,055,289,
476,779,998,142,875,407,189,262,696,866,891,628,681,278,807,677,784,557,418,
674,329,089,252,895,659,242,527,878,738,316,338,612,139,708,761,044,071,759,
767,476,926,854,195,352,603,243,600,195,560,409,024,701,249,877,185,788,528,
247,422,567,855,315,581,791,791,540,551,986,519,668,006,519,815,978,337,033,
671,039,594,491,739,900,491,870,119,338,750,385,338,331,773,446,641,140,278,
300,229,614,774,712,523,877,274,376,001,817,208,749,113,753,774,209,517,485,
434,748,655,904,236,796,760,768,396,924,807,719,222,749,582,026,549,180,950,
817,536,038,104,826,793,399,259,985,325,784,224,366,072,036,495,795,850,173,
544,628,120,012,475,924,626,890,551,327,714,232,830,995,760,398,247,014,455,
334,531,702,317,106,324,010,852,029,367,270,305,835,612,423,763,794,930,332,
502,970,729,832,144,467,946,934,443,423,756,746,632,225,423,184,799,660,778,
041,702,274,678,498,869,922,206,712,391,819,584,551,180,846,624,934,457,710,
995,157,948,773,624,775,479,310,432,211,187,800,052,221,360,792,877,103,497,
917,550,321,981,194,982,091,076,515,576,763,367,135,298,086,015,312,715,150,
973,761,049,696,336,928,853,100,159,426,992,301,221,184,848,535,395,631,458,
325,301,465,157,122,057,603,242,131,576,492,974,381,465,043,154,871,342,499,
293,019,510,641,237,718,170,838,869,475,315,549,796,175,988,923,561,432,576,
565,228,994,770,825,383,824,156,939,046,764,855,163,788,508,237,772,554,494,
133,400,036,126,993,445,008,727,215,802,865,370,664,985,660,047,834,571,956,
820,840,599,211,996,046,823,029,220,227,491,248,844,916,864,689,111,504,233,
709,477,907,826,801,800,969,640,946,263,689,432,029,776,143,393,323,745,600,
055,258,312,118,880,344,134,462,896,804,838,431,170,370,235,797,229,054,936,
994,307,267,397,012,546,211,277,459,554,183,623,659,218,502,112,934,845,103,
748,645,462,723,287,369,342,640,471,494,016,562,565,266,387,744,552,279,833,
535,026,792,096,478,397,394,456,412,130,901,462,784,862,436,729,960,275,656,
392,661,732,751,227,762,788,812,940,889,734,453,109,611,726,425,850,582,727,
999,458,359,383,490,183,905,840,935,273,051,624,567,102,898,417,301,180,282,
617,678,279,698,971,059,440,850,682,956,326,371,866,533,437,217,740,668,414,
942,666,085,235,736,854,027,075,275,250,564,245,424,401,004,367,530,430,803,
560,191,714,129,155,418,693,381,416,568,615,640,932,788,988,195,894,459,156,
643,890,895,728,785,054,984,832,539,165,487,692,571,775,848,910,199,266,663,
717,307,996,098,442,451,412,062,488,469,003,439,241,976,520,556,443,110,798,
823,426,054,285,620,675,016,162,701,638,114,483,377,963,021,025,820,031,845,
168,986,933,504,935,019,440,810,825,958,424,036,695,294,618,138,659,213,812,
254,981,924,867,406,992,985,501,344,061,069,728,399,713,363,337,535,679,786,
078,778,022,822,016,586,384,908,928,737,013,567,251,407,497,928,708,311,950,
724,715,748,796,941,004,602,079,438,187,352,707,945,850,586,965,998,328,877,
357,353,128,931,584,690,559,483,585,999,247,857,695,328,774,505,658,677,088,
739,470,615,493,497,783,648,160,680,750,142,285,394,876,239,383,642,838,332,
577,819,779,305,766,111,733,977,784,125,958,172,270,610,604,299,676,204,339,
754,047,258,166,890,002,728,081,196,834,017,653,156,657,766,438,057,577,311,
641,845,974,595,957,632,896,730,087,069,734,148,926,559,810,565,177,280,191,
729,983,976,203,839,795,531,606,723,019,637,243,157,358,225,812,912,973,819,
856,039,591,505,365,893,771,950,889,582,970,492,127,292,960,437,061,553,412,
705,298,877,879,035,823,877,966,747,887,647,823,021,284,668,179,279,727,207,
534,858,282,278,732,486,337,214,550,711,063,845,460,531,829,107,526,170,941,
926,558,613,361,701,677,813,474,131,249,931,917,000,783,161,193,431,189,188,
580,465,158,214,739,317,954,465,255,829,280,133,628,761,585,114,697,813,866,
141,406,390,757,591,949,641,758,921,370,551,813,000,743,114,467,768,065,929,
347,401,445,854,977,364,414,961,301,178,938,877,357,667,175,433,875,143,578,
635,419,756,711,854,278,127,654,661,221,345,196,002,007,359,886,053,563,758,
340,263,387,014,953,027,613,147,478,063,708,159,524,617,719,827,896,942,326,
045,069,324,654,734,165,625,526,028,975,294,336,103,584,122,608,686,527,696,
270,661,695,141,425,170,225,172,539,385,075,584,307,094,324,201,002,008,831,
696,563,791,644,364,799,997,237,081,302,546,487,089,529,869,816,299,577,298,
426,413,953,411,641,315,811,775,237,310,599,085,561,281,658,269,966,767,759,
681,852,304,411,246,046,383,340,422,649,680,534,554,898,273,562,738,020,297,
228,167,047,855,838,127,258,938,697,117,119,937,346,088,797,284,931,908,877,
098,135,743,781,992,469,491,587,157,891,260,069,217,568,388,178,085,550,292,
998,325,729,539,816,668,987,588,112,600,730,569,466,424,003,557,346,174,147,
995,573,414,706,998,760,590,484,712,786,401,082,988,032,283,188,635,152,942,
494,992,338,213,389,198,560,437,031,126,560,969,725,177,101,606,054,205,723,
949,736,205,170,374,511,667,619,363,557,213,858,250,206,809,120,324,154,157,
088,680,758,261,091,393,521,696,822,991,509,958,432,728,784,752,266,294,993,
052,994,699,400,936,764,925,494,208,828,962,130,979,410,359,032,236,279,299,
031,961,072,529,138,504,354,203,932,336,162,739,033,114,553,625,533,124,708,
362,694,127,154,538,916,155,164,264,057,249,835,064,932,715,889,447,337,536,
137,352,851,966,761,469,651,444,217,641,115,979,115,078,724,403,050,511,159,
945,395,357,337,835,003,649,363,022,661,953,503,819,004,533,278,435,238,284,
897,466,814,451,822,992,438,823,372,471,066,597,864,374,334,871,584,274,592,
218,510,393,477,081,189,244,637,287,469,249,012,913,211,382,989,967,247,880,
224,156,870,156,281,324,764,476,482,156,030,420,142,415,131,370,984,883,995,
003,574,728,710,976,646,780,624,369,004,249,795,275,008,368,304,988,092,220,
984,239,086,300,029,878,114,769,702,792,360,792,720,995,068,600,594,526,019,
770,507,862,403,595,060,153,016,117,122,463,198,957,363,310,675,004,646,514,
800,674,722,987,019,679,453,932,863,110,779,874,788,416,162,742,874,395,872,
999,562,942,743,795,895,431,829,129,204,203,757,064,975,604,561,688,201,308,
684,903,626,780,578,819,631,094,666,930,443,045,574,894,998,083,946,862,791,
740,279,678,067,065,465,693,514,030,918,008,941,236,638,056,949,216,265,156,
006,969,029,015,100,498,254,174,132,787,025,546,057,311,108,682,312,419,490,
511,887,485,463,079,221,094,028,982,996,767,276,466,943,805,416,839,966,036,
772,266,066,243,181,674,835,879,081,606,665,355,550,601,154,236,786,612,045,
605,090,642,999,985,177,901,275,664,561,179,761,130,726,797,904,995,837,836,
773,895,626,464,988,795,609,808,182,876,628,960,981,486,786,119,273,960,909,
507,309,289,761,419,220,719,318,930,455,647,027,089,748,034,708,596,561,520,
357,520,024,930,495,408,630,835,190,173,958,496,383,823,634,566,984,942,300,
552,716,512,309,033,772,852,562,617,972,437,563,088,938,793,035,323,925,029,
740,195,070,570,864,593,489,857,538,347,419,520,932,363,226,695,016,944,850,
619,259,735,157,301,362,161,435,292,223,983,424,621,662,772,577,266,191,146,
117,059,899,914,163,598,982,463,859,305,483,096,557,104,642,492,164,931,637,
554,739,381,525,993,622,121,299,090,244,725,988,407,216,275,055,572,178,950,
217,867,452,284,226,204,993,818,801,837,968,142,174,115,479,391,834,290,021,
998,261,596,395,384,582,519,766,289,265,358,094,062,952,569,687,662,447,454,
393,945,403,958,090,791,901,112,557,457,109,282,845,737,206,689,752,768,482,
209,962,392,562,829,411,821,977,935,079,354,001,055,648,445,148,907,592,473,
418,392,284,687,972,435,242,851,478,157,898,669,971,866,237,086,125,743,519,
404,325,566,406,737,097,030,047,233,382,286,850,935,864,789,346,441,550,525,
451,847,901,477,198,904,771,956,221,791,867,147,065,316,300,472,177,417,133,
877,495,984,068,836,699,873,845,756,665,410,360,582,629,242,648,691,949,619,
417,204,215,457,543,250,339,379,972,557,284,526,352,642,380,594,552,792,761,
637,630,656,766,864,045,190,837,145,868,111,575,215,736,695,450,311,676,569,
796,628,490,442,660,831,250,131,953,584,692,690,105,545,119,570,820,055,053,
247,150,670,600,195,157,545,829,999,075,317,069,736,940,141,666,112,003,960,
763,218,527,485,467,043,597,052,617,496,417,642,783,400,067,227,398,199,034,
974,629,207,247,006,643,314,334,581,455,539,927,821,803,695,495,651,549,240,
507,354,566,870,212,061,672,930,304,461,331,799,058,728,936,312,971,943,377,
669,570,684,999,842,819,820,755,798,391,414,545,800,553,768,237,654,791,314,
118,376,508,360,745,486,326,352,525,451,261,377,804,316,579,089,172,303,830,
195,057,577,765,278,930,107,737,691,729,015,708,100,987,139,694,423,716,865,
286,541,826,662,397,501,656,840,556,018,474,594,963,180,954,227,464,080,273,
340,574,108,165,138,689,767,427,353,956,127,853,254,083,426,768,196,168,705,
875,136,083,494,908,539,729,897,726,872,053,350,497,160,472,040,193,161,354,
886,414,429,785,661,778,225,823,714,301,639,589,916,556,809,557,840,309,432,
459,218,386,767,053,832,636,179,674,223,279,486,999,946,134,173,572,617,690,
125,387,467,183,903,026,297,020,856,017,117,414,489,476,816,588,490,993,159,
487,551,095,867,955,168,154,611,746,630,889,121,191,145,276,931,231,116,816,
988,682,622,706,445,309,538,929,087,825,731,974,495,522,581,092,509,652,403,
774,234,565,986,469,868,967,735,085,402,791,238,627,475,030,186,105,739,790,
587,429,112,487,366,193,441,748,559,688,110,243,360,554,957,160,542,490,908,
094,037,902,011,681,448,060,828,306,406,934,397,694,904,204,914,815,031,767,
915,859,725,088,611,886,965,808,153,290,623,380,229,541,847,120,448,723,801,
895,787,294,793,333,101,571,089,313,960,651,356,541,498,558,902,335,124,098,
569,522,414,630,805,146,937,427,065,019,422,851,638,074,929,828,544,944,883,
039,205,353,853,665,667,875,165,840,304,313,884,125,364,011,416,201,749,976,
688,231,750,666,449,482,110,111,907,501,384,784,938,828,250,470,307,067,192,
419,009,113,666,401,118,673,079,247,419,163,661,532,924,345,728,084,223,303,
757,994,770,236,989,680,140,950,680,285,621,562,180,191,004,116,015,830,587,
445,642,098,699,556,312,786,116,189,150,019,882,218,921,267,227,766,463,572,
471,556,389,141,283,349,773,427,386,413,940,148,763,388,587,862,360,669,419,
010,624,882,810,819,235,506,164,134,662,667,584,670,164,998,505,226,030,511,
667,723,663,691,417,493,744,843,853,250,479,361,584,272,275,488,137,220,192,
238,212,477,890,505,800,394,164,458,461,937,871,732,598,775,157,445,655,377,
839,576,708,792,837,763,418,750,116,199,713,129,093,696,349,725,568,461,876,
837,146,985,712,836,902,960,633,898,425,123,959,958,135,825,624,865,261,854,
213,130,726,200,581,115,482,173,237,072,067,330,689,479,557,639,536,395,052,
533,597,003,377,729,396,194,630,612,162,525,406,666,558,689,513,355,817,495,
353,407,916,243,462,010,943,474,320,672,787,093,509,580,388,779,515,375,626,
604,749,869,514,836,185,227,666,132,179,553,877,452,340,800,102,768,547,535,
880,897,442,343,775,082,390,046,911,146,220,515,288,022,149,642,314,816,269,
294,388,907,700,183,204,275,120,282,114,496,436,408,131,157,030,670,289,249,
294,992,728,430,499,627,478,394,905,432,085,234,636,546,019,908,749,736,515,
155,002,387,319,919,039,429,713,890,163,435,441,622,292,983,893,695,679,486,
878,928,757,291,237,876,021,385,199,771,635,775,966,756,871,866,769,018,427,
763,850,047,149,864,881,986,172,626,370,404,773,760,029,675,821,421,211,190,
657,525,616,097,130,784,783,818,253,562,700,295,074,288,235,553,644,525,102,
372,145,612,138,878,843,449,435,724,111,672,652,228,004,843,008,914,352,208,
076,912,131,139,695,808,816,428,782,175,328,617,729,658,546,633,437,579,634,
346,033,637,742,480,517,663,058,477,822,134,947,752,783,102,216,861,465,960,
283,412,272,188,750,025,420,571,937,647,814,241,980,175,954,138,200,320,327,
708,599,906,133,329,352,303,270,636,945,787,379,991,055,076,060,258,080,422,
904,406,174,463,551,719,763,650,349,238,058,842,027,545,937,676,012,858,312,
622,630,560,465,493,147,789,987,672,927,593,040,901,861,421,038,335,372,263,
650,643,021,072,602,843,679,967,210,229,713,862,535,041,894,571,687,324,404,
457,716,494,868,164,599,175,029,126,108,128,332,353,207,075,819,461,896,143,
646,928,068,770,311,036,518,191,553,844,120,986,534,240,083,928,761,346,243,
095,888,115,858,847,663,856,318,538,045,301,650,341,886,656,093,309,903,658,
580,917,031,901,653,946,938,519,979,770,434,764,087,431,880,090,353,446,299,
380,331,727,943,267,750,171,781,918,385,599,165,145,474,406,393,461,493,417,
910,823,667,730,066,231,074,087,304,330,917,671,899,193,395,070,077,049,538,
449,074,682,454,574,863,803,088,721,220,407,329,204,271,853,084,194,497,927,
847,552,631,181,254,820,140,096,362,676,219,426,900,883,702,700,154,806,417,
596,401,100,388,723,012,879,803,089,659,968,501,887,728,000,524,382,882,208,
274,561,155,825,286,301,776,683,087,351,163,971,375,547,676,849,706,603,740,
298,634,050,125,801,296,190,940,947,360,135,235,851,684,705,523,952,832,582,
865,701,479,895,352,568,767,842,188,098,009,314,278,276,010,274,894,676,487,
387,002,274,670,657,333,161,845,658,887,620,786,497,951,556,222,745,532,241,
812,058,995,536,275,350,427,421,369,926,410,373,442,547,957,287,231,611,009,
160,329,161,856,866,582,486,521,024,600,520,539,654,290,122,035,900,668,584,
116,360,983,305,347,035,266,613,491,459,170,230,775,845,638,772,130,537,167,
455,158,075,967,775,181,463,471,786,081,372,896,821,069,967,232,163,283,696,
312,981,355,037,894,954,992,600,769,943,124,314,751,235,313,888,802,390,533,
364,466,261,198,619,678,729,307,513,824,544,022,651,250,048,087,800,743,122,
344,072,482,750,900,580,364,931,888,602,505,898,169,785,020,996,453,288,420,
847,813,790,031,053,906,426,993,985,457,110,731,790,395,193,194,367,496,931,
706,986,796,318,338,390,422,942,704,774,855,525,972,383,683,109,732,368,916,
687,924,566,376,601,069,128,564,976,872,667,357,329,563,076,301,386,732,166,
275,408,008,609,952,864,177,169,649,023,763,016,262,274,090,633,340,445,493,
750,045,145,353,530,967,982,920,779,786,432,138,926,717,701,630,556,163,713,
802,408,319,434,990,005,724,510,920,011,203,820,964,167,594,693,941,808,225,
555,701,308,385,893,309,412,321,967,866,730,058,045,150,793,499,045,048,638,
251,034,671,124,204,117,339,238,881,941,877,364,932,902,769,669,399,377,874,
105,486,443,051,327,417,105,167,391,861,627,907,110,276,763,118,296,440,647,
651,055,242,231,619,868,032,394,763,667,064,170,440,877,197,119,305,423,622,
933,625,568,944,993,365,265,367,055,678,842,598,859,214,334,344,236,049,753,
087,337,076,426,574,912,576,664,443,400,401,343,282,649,044,365,837,081,808,
411,786,095,028,229,354,072,717,419,443,054,156,833,344,558,954,550,335,902,
092,363,679,352,808,133,512,945,454,520,433,273,512,020,993,375,993,541,213,
853,588,940,176,779,278,652,313,059,963,427,045,990,999,646,262,647,238,568,
064,236,553,448,240,389,922,775,005,588,856,680,622,791,315,303,187,629,559,
865,826,987,130,607,574,372,877,011,229,957,174,530,898,661,400,124,990,153,
605,357,775,598,506,017,010,441,754,397,547,315,119,878,194,094,985,858,518,
371,697,241,352,534,732,547,052,761,411,775,125,958,591,578,287,777,657,645,
733,284,807,502,063,471,502,950,069,384,299,025,429,068,378,310,623,800,153,
202,038,937,280,598,810,525,094,088,966,054,871,122,137,771,303,795,300,865,
408,288,966,709,309,665,146,662,325,894,096,326,475,963,243,863,118,728,367,
055,057,973,055,668,502,379,716,794,591,438,300,562,831,086,580,467,330,875,
975,143,301,420,618,529,134,427,972,798,935,282,321,977,537,124,095,629,998,
375,074,603,446,465,852,167,157,640,999,275,949,617,527,736,731,513,743,975,
469,644,681,845,288,585,035,731,872,093,133,657,595,355,515,539,082,922,220,
924,208,910,206,510,078,575,062,574,507,005,503,855,680,048,900,219,043,685,
545,344,751,881,084,141,472,354,068,897,343,393,006,024,991,113,434,143,258,
462,212,819,600,198,332,173,484,679,754,084,690,447,331,684,494,650,046,381,
680,189,684,268,947,879,978,178,127,469,185,467,730,890,144,862,782,785,039,
855,027,396,229,121,248,542,218,307,259,260,181,600,577,661,159,789,651,430,
337,441,882,929,752,725,200,334,031,767,877,951,446,071,130,760,470,770,878,
278,535,976,636,758,264,353,788,530,847,642,345,212,930,685,944,683,950,649,
729,028,562,533,705,843,373,354,156,283,248,180,751,962,734,310,533,354,252,
397,221,314,146,727,428,324,790,155,851,033,291,082,187,117,453,478,920,758,
732,862,756,455,833,392,304,652,052,729,648,431,234,763,487,751,099,663,300,
475,400,673,721,019,549,393,527,835,882,936,408,859,414,624,761,270,138,741,
197,428,762,742,370,397,878,200,633,106,523,607,082,331,757,853,943,675,156,
901,926,986,468,955,594,541,645,217,198,198,131,124,568,224,432,941,278,559,
073,284,142,518,955,562,951,328,823,154,113,853,761,716,965,338,211,517,886,
359,878,726,075,482,422,431,827,630,691,631,356,194,160,594,173,664,645,092,
423,932,777,872,189,095,705,719,508,525,011,635,431,516,311,971,177,921,092,
196,295,599,705,067,055,053,078,453,400,517,008,561,146,022,179,133,297,738,
228,222,363,855,644,997,608,064,030,988,702,974,968,939,290,763,128,311,382,
827,715,016,452,902,581,309,494,352,436,901,071,441,551,568,838,358,112,920,
864,982,172,104,220,720,530,409,323,012,712,075,227,672,754,571,465,172,705,
715,333,849,747,630,052,858,621,867,943,777,386,251,510,161,045,911,921,944,
937,708,681,655,630,196,001,725,686,445,613,001,367,164,644,318,225,106,276,
686,402,276,071,181,794,352,462,208,775,133,222,309,740,565,179,788,759,909,
210,441,972,831,696,453,347,211,772,944,651,666,326,649,150,894,157,199,006,
234,292,947,649,216,224,182,076,248,308,270,340,506,564,435,711,028,793,206,
536,298,195,740,754,395,240,461,226,395,564,819,374,110,952,769,918,869,914,
942,285,794,521,219,012,524,599,887,717,729,255,271,469,816,966,737,695,910,
462,615,151,149,949,440,102,827,459,957,468,898,300,130,215,466,260,235,249,
837,004,747,390,911,811,098,197,345,878,100,021,362,832,937,932,315,083,763,
387,444,762,284,899,219,941,714,462,391,082,910,201,788,811,761,339,262,556,
260,812,560,129,506,095,590,511,008,943,145,297,350,771,463,722,848,608,209,
634,878,146,641,339,905,201,370,013,634,354,751,786,463,612,322,569,208,357,
271,812,171,685,399,409,140,543,015,752,939,084,324,127,702,788,154,933,810,
758,254,878,274,408,743,117,894,121,136,381,559,123,598,902,195,960,197,499,
984,825,469,947,248,236,490,563,919,824,859,291,680,983,782,295,290,755,241,
820,349,733,773,847,130,991,967,979,316,385,939,054,469,815,647,261,009,389,
658,788,669,047,250,593,177,889,208,645,301,427,966,752,852,443,003,505,622,
392,114,789,140,736,249,639,408,562,866,941,215,746,079,714,358,546,443,218,
024,134,977,569,789,283,448,344,988,167,629,849,529,691,127,067,391,559,223,
514,508,797,608,182,648,223,488,297,991,101,547,747,769,932,915,181,073,619,
586,089,865,904,590,684,205,407,738,336,950,436,179,250,757,898,660,816,423,
415,378,615,383,896,033,722,878,107,305,929,651,475,627,083,433,106,787,878,
076,331,146,573,875,172,627,241,765,141,486,654,822,313,303,348,675,742,721,
703,554,869,839,312,545,697,269,486,718,426,098,275,895,942,058,600,958,427,
976,195,892,287,770,557,985,197,420,398,777,216,763,610,875,889,971,636,066,
198,044,882,827,687,212,241,876,739,765,026,111,435,791,658,162,236,050,613,
263,982,426,914,524,787,156,664,530,594,729,729,665,822,987,461,943,946,987,
068,021,980,643,582,961,190,866,767,622,173,273,018,490,648,234,213,694,703,
676,949,922,508,971,682,849,438,077,246,525,100,564,517,027,498,967,409,843,
353,000,604,788,810,786,798,826,816,698,398,184,294,094,135,861,915,413,525,
625,840,834,516,246,467,269,259,346,035,100,241,752,898,955,740,676,889,697,
391,864,783,708,046,160,866,726,523,427,712,655,066,234,622,821,430,421,958,
269,621,219,471,009,984,972,854,325,566,989,443,541,577,413,828,878,540,865,
220,104,668,465,654,180,020,998,462,053,357,675,531,538,762,906,972,013,526,
754,417,951,911,937,179,749,114,472,444,358,353,814,064,868,709,678,958,431,
474,296,432,255,629,649,210,611,518,174,232,143,802,871,269,148,545,727,732,
444,518,886,473,628,583,548,663,574,251,665,367,805,321,878,223,533,101,676,
900,366,621,042,472,646,570,926,180,162,720,633,336,528,710,784,010,548,548,
466,725,515,658,227,294,198,429,925,537,012,271,812,105,452,246,601,981,823,
691,476,996,716,285,928,050,774,179,166,451,393,946,684,844,937,229,166,872,
514,469,008,551,183,078,226,045,597,378,333,620,981,073,295,097,976,678,136,
471,480,769,114,011,797,959,872,456,127,540,772,766,577,297,976,568,498,900,
626,606,704,911,663,075,926,827,605,000,163,808,926,221,141,834,423,343,301,
666,603,565,004,467,701,096,625,631,953,433,547,347,433,973,717,651,223,183,
207,692,429,299,772,033,947,247,686,991,377,402,231,176,419,037,369,940,156,
666,363,110,852,189,672,093,972,247,456,634,389,270,106,823,141,284,866,390,
772,829,557,017,971,901,404,839,988,610,836,818,310,662,683,787,370,798,348,
040,470,401,848,932,338,906,453,026,822,487,341,577,438,790,646,360,748,303,
674,381,293,985,675,166,820,942,503,877,495,992,666,040,683,897,989,372,763,
940,228,635,668,176,991,424,271,435,533,133,285,450,422,828,943,693,134,354,
284,990,381,002,376,845,406,756,095,894,657,580,436,036,166,630,190,827,738,
073,000,346,403,222,774,172,087,307,747,819,470,766,495,407,121,493,251,761,
506,504,248,813,766,549,339,279,577,223,517,844,816,030,579,606,970,785,776,
805,083,457,092,186,841,311,092,871,787,396,497,351,340,803,238,579,359,199,
904,153,781,105,078,459,843,519,997,341,287,212,579,571,571,338,949,396,650,
828,996,425,452,115,482,322,677,063,473,858,424,771,654,552,835,854,557,621,
334,256,330,674,419,856,004,755,371,070,950,144,516,048,897,041,358,017,210,
812,404,223,236,505,129,709,079,979,632,672,027,645,646,927,192,507,397,100,
482,918,895,825,304,086,934,900,900,058,222,312,799,443,957,853,365,984,262,
491,820,080,234,890,333,784,490,518,443,580,651,602,140,540,375,678,493,017,
091,129,028,489,592,420,828,777,708,647,524,146,115,397,184,203,022,194,064,
122,524,666,043,602,822,430,776,169,930,979,537,901,804,608,178,172,090,753,
328,474,281,540,458,202,355,281,354,850,552,385,441,866,607,891,902,649,591,
605,494,870,668,173,173,692,645,432,971,373,682,715,801,200,103,351,303,591,
241,972,588,880,835,094,080,094,630,446,007,448,685,386,216,368,535,825,362,
730,714,847,104,383,834,857,934,077,957,734,939,871,791,611,931,700,951,130,
898,486,200,031,914,519,011,970,939,079,677,905,418,600,379,804,078,786,348,
421,232,225,768,446,967,003,577,865,023,117,014,552,441,302,400,572,039,400,
835,199,478,772,583,278,289,284,098,639,526,775,065,610,654,045,946,289,937,
452,791,278,760,344,110,177,712,797,973,325,522,071,399,746,169,952,343,375,
589,077,332,746,131,293,854,816,110,549,255,515,012,700,455,389,561,818,622,
396,203,212,512,217,933,557,171,519,129,863,296,267,041,595,885,047,538,415,
015,199,980,173,229,541,100,173,727,523,710,671,346,119,382,535,604,411,797,
428,527,561,606,791,782,091,714,222,495,486,059,995,432,187,162,246,538,935,
401,044,408,822,391,151,531,573,167,578,975,790,984,780,270,197,635,800,287,
066,405,944,951,557,815,308,201,638,734,934,018,822,498,079,786,098,452,830,
422,497,809,180,670,032,107,574,730,161,175,590,260,696,003,782,649,275,258,
163,128,160,673,876,144,008,910,222,751,183,756,557,696,570,093,626,960,173,
043,331,535,870,624,626,429,806,383,449,470,064,817,112,463,251,784,499,324,
140,965,600,537,403,545,841,992,687,759,632,840,305,137,461,070,215,381,234,
949,678,217,038,194,488,272,988,886,748,067,115,606,601,936,944,690,830,725,
591,173,900,042,589,465,383,476,993,807,662,011,216,140,143,180,698,323,467,
583,806,363,990,751,274,526,918,209,461,873,332,559,741,932,750,066,509,514,
573,400,239,639,812,964,629,289,939,637,392,691,482,845,799,778,289,520,589,
549,029,094,745,613,058,607,018,098,907,260,893,367,085,692,737,667,170,223,
228,865,055,268,358,462,693,894,140,635,509,240,829,567,735,345,663,859,861,
467,048,425,550,604,133,140,763,044,272,629,165,782,314,226,175,840,200,106,
483,803,852,774,310,512,860,433,715,181,779,324,504,621,524,018,729,853,540,
161,668,880,751,826,489,482,829,171,344,151,157,942,690,682,961,401,766,766,
754,616,005,725,311,860,410,961,775,325,658,681,105,185,340,518,385,695,480,
306,845,808,038,219,486,963,555,869,124,541,387,844,666,995,466,911,231,127,
258,426,951,217,418,793,546,803,186,720,651,908,778,056,279,715,087,004,164,
312,227,879,613,476,566,779,561,737,573,194,068,885,187,237,137,281,726,365,
544,449,007,354,486,342,656,776,470,251,884,027,432,589,171,061,369,276,392,
880,700,297,608,972,125,664,144,241,584,640,497,453,624,066,190,478,602,882,
312,005,227,952,748,482,613,324,549,170,921,331,696,869,631,745,811,545,430,
305,060,317,367,772,422,729,917,840,384,505,690,207,771,791,059,349,934,710,
935,018,056,856,276,094,063,777,491,369,523,667,946,567,325,531,829,708,803,
382,111,511,638,754,733,521,864,783,504,807,335,482,007,660,956,413,868,504,
760,415,755,061,628,723,803,393,705,975,195,002,845,270,991,802,234,595,391,
386,440,147,736,243,272,056,692,427,638,850,982,726,919,663,283,937,309,056,
859,035,432,297,026,646,674,326,539,006,822,958,791,748,633,790,401,463,911,
954,787,903,188,339,632,832,366,431,460,914,553,512,673,169,313,891,572,863,
983,426,701,535,271,060,966,073,026,075,116,109,444,756,990,820,124,504,969,
600,853,992,631,146,126,268,591,592,554,602,646,148,559,409,317,438,530,837,
109,542,094,390,896,173,553,141,836,354,708,430,602,136,510,083,878,109,623,
569,127,109,684,879,379,363,736,473,049,043,038,138,996,289,949,118,692,604,
293,957,912,687,419,614,555,365,871,093,723,147,148,614,416,916,514,592,662,
258,206,726,520,510,849,142,045,191,174,996,222,880,807,901,761,757,409,494,
146,964,411,851,265,466,332,813,782,569,403,806,696,929,171,028,535,511,517,
497,424,770,405,117,991,392,795,389,240,571,231,632,230,508,044,827,229,649,
283,325,237,610,751,315,321,642,436,024,498,784,705,056,931,469,724,886,373,
763,505,007,373,695,507,132,209,328,278,871,725,905,278,647,932,923,910,386,
690,273,235,018,342,878,220,609,483,867,208,065,849,626,367,030,917,919,556,
707,451,888,687,910,298,787,044,880,695,512,933,930,063,563,573,071,111,477,
018,223,917,684,770,103,202,883,669,571,319,347,198,734,840,227,613,282,065,
017,260,208,749,955,749,408,882,416,119,169,695,838,404,143,290,023,312,272,
976,741,210,722,905,443,910,914,635,729,340,134,690,713,052,978,896,906,548,
660,367,906,597,946,645,833,147,785,889,526,588,324,839,599,058,857,071,977,
955,837,927,587,483,377,720,094,666,180,537,953,930,935,472,839,194,770,314,
368,199,773,334,891,845,107,808,582,678,047,684,939,930,154,263,853,771,962,
755,304,004,283,598,437,282,405,666,572,138,449,848,501,976,520,999,655,060,
736,949,924,819,821,532,272,930,912,212,197,966,309,096,309,858,120,301,905,
590,947,121,525,568,580,827,134,159,886,968,916,661,111,011,793,488,202,641,
986,640,734,061,256,017,110,500,371,521,735,639,437,441,341,442,184,091,321,
175,242,348,392,482,959,343,720,128,071,534,952,229,918,356,435,436,499,251,
049,840,575,133,143,272,911,873,567,216,350,923,749,049,449,526,973,662,284,
169,264,566,966,565,798,074,318,872,281,031,336,058,280,243,680,102,043,841,
900,134,579,958,121,352,145,601,964,319,680,402,358,834,600,239,272,947,745,
712,372,801,059,597,494,374,055,201,769,710,690,100,338,567,440,352,815,647,
168,961,867,064,936,845,854,820,370,264,742,204,916,640,123,259,111,339,973,
312,680,174,801,533,505,811,631,049,451,391,688,556,163,465,984,074,349,924,
655,186,938,799,737,032,727,096,059,997,646,447,475,966,381,083,588,699,586,
464,783,817,365,483,928,226,018,497,491,858,501,738,307,109,529,898,272,596,
838,518,278,182,753,407,108,593,058,246,970,820,845,607,227,373,218,744,462,
414,160,138,906,523,102,941,948,040,234,737,183,591,480,752,891,020,135,076,
201,498,568,171,030,005,966,044,206,854,397,779,728,248,700,189,673,090,022,
818,074,030,402,753,975,175,215,694,042,020,684,610,794,722,181,855,576,256,
967,568,816,147,460,730,828,750,591,067,479,743,048,752,700,056,398,349,759,
532,154,482,440,089,423,314,114,793,935,500,757,932,315,693,374,469,431,459,
390,632,626,052,718,860,148,522,125,909,952,717,444,685,964,806,389,719,489,
893,548,014,199,238,239,974,201,194,072,705,905,018,655,553,245,507,803,520,
979,478,152,561,743,643,152,608,684,966,793,268,800,261,013,594,467,788,303,
750,701,308,080,184,282,690,400,683,715,080,410,785,164,914,215,580,513,071,
140,589,356,226,146,147,858,668,260,656,615,526,797,911,759,596,116,562,737,
291,628,800,626,592,758,983,032,622,388,954,679,800,784,815,104,955,282,401,
133,074,823,123,268,820,417,248,941,673,510,791,528,111,293,832,734,689,752,
135,168,905,380,667,350,978,581,577,186,316,281,123,678,343,814,545,890,693,
851,224,478,763,319,950,394,110,353,960,454,836,828,610,421,275,478,784,879,
610,058,616,709,973,171,652,944,754,829,549,919,206,853,200,334,875,629,980,
741,827,539,181,239,857,786,543,989,704,295,233,385,858,486,046,814,444,576,
404,968,882,343,452,379,723,496,078,093,947,106,159,458,022,851,758,577,803,
472,344,514,746,715,804,052,537,034,295,950,397,769,920,944,805,588,232,243,
030,916,688,313,745,196,906,000,382,585,569,346,261,130,175,635,672,120,945,
355,887,648,495,404,011,744,330,812,607,799,106,560,701,492,607,300,749,439,
418,183,757,650,591,154,212,954,259,296,109,069,728,584,306,331,468,080,795,
311,650,296,825,180,093,915,462,974,770,983,564,862,694,893,126,705,728,466,
245,496,471,618,957,140,896,374,819,905,293,013,290,585,925,775,886,871,095,
178,425,640,663,879,924,653,274,221,817,757,332,456,536,306,729,740,677,102,
543,019,823,393,198,843,090,702,038,405,186,750,887,526,221,188,598,423,032,
691,678,704,820,370,515,617,250,938,763,612,888,519,778,197,943,621,760,882,
446,940,059,148,901,633,179,765,775,126,069,108,809,793,229,753,161,867,742,
002,413,764,996,866,515,420,106,447,712,004,917,008,750,101,482,770,504,196,
770,400,814,887,486,981,196,596,748,522,935,818,413,205,028,815,375,601,616,
852,319,241,871,162,548,714,811,448,011,018,107,784,850,165,682,148,119,642,
794,126,284,411,592,800,157,505,868,684,422,936,613,504,070,395,395,911,219,
542,691,380,672,679,443,217,845,661,806,102,178,423,460,878,839,611,607,616,
065,169,230,491,127,788,319,710,692,277,981,438,040,586,418,581,268,406,680,
973,396,183,657,144,536,477,073,677,462,867,490,632,560,281,257,078,537,207,
332,686,142,707,249,807,732,182,320,715,613,727,746,390,352,069,824,481,906,
593,044,801,250,544,259,538,654,407,168,760,400,754,119,953,712,432,201,788,
941,262,532,865,872,364,768,856,551,375,984,911,323,908,564,582,991,300,448,
968,323,522,126,188,730,646,520,283,841,535,896,175,505,904,536,095,836,272,
536,297,954,774,797,866,943,493,410,391,995,893,342,753,731,492,515,880,245,
487,000,743,883,280,206,023,902,054,193,033,411,338,381,290,887,636,210,719,
644,969,114,610,066,615,961,364,875,216,100,092,890,325,309,550,003,201,278,
044,759,596,901,514,691,438,900,227,052,591,416,508,593,721,565,716,781,318,
819,612,131,757,193,522,104,228,318,712,260,272,606,655,036,766,649,815,393,
332,817,255,893,655,145,605,724,977,089,595,367,256,982,319,142,720,959,614,
049,891,416,607,134,299,402,892,059,871,211,797,566,959,655,442,306,661,490,
764,528,146,643,539,106,162,149,023,341,694,578,715,110,370,370,703,037,236,
318,198,914,715,518,567,136,185,984,412,684,282,504,348,858,614,465,410,682,
392,014,743,478,679,540,465,524,248,424,581,895,807,623,831,322,752,804,057,
344,442,945,651,363,815,069,527,103,217,718,120,153,565,825,341,585,017,793,
903,582,247,997,561,983,122,262,102,827,352,344,839,631,501,067,395,191,346,
103,968,329,745,764,957,155,704,265,820,877,196,245,009,159,062,116,737,753,
760,675,776,961,552,901,159,601,588,361,440,805,360,608,522,579,264,717,561,
332,734,524,784,685,713,298,182,971,312,743,477,711,916,721,932,931,949,679,
405,939,416,690,318,894,429,404,406,877,370,216,175,444,300,752,659,428,337,
754,590,439,068,413,610,294,337,345,150,797,813,234,533,835,695,007,036,145,
067,329,597,061,498,094,303,547,859,129,715,472,687,340,252,701,761,530,172,
067,393,950,020,880,208,361,448,168,865,752,120,443,096,757,328,564,018,328,
588,309,868,103,965,029,333,397,130,204,901,681,888,377,675,507,571,990,807,
122,498,167,720,496,650,402,885,171,266,078,688,620,419,456,659,804,530,012,
777,939,506,763,290,490,780,741,535,256,170,137,843,679,581,010,164,720,988,
473,938,961,216,329,307,606,559,216,677,005,716,527,620,213,787,118,392,794,
121,003,911,105,811,094,810,235,926,923,414,707,905,201,184,873,494,402,625,
294,757,544,777,097,233,038,205,474,198,142,650,844,608,528,687,427,042,779,
250,482,836,575,932,556,094,924,347,836,307,290,878,184,446,762,709,763,209,
092,709,258,832,786,786,303,340,904,290,387,738,765,084,456,783,796,116,050,
426,660,063,147,441,345,287,901,621,561,470,642,663,330,157,017,708,940,440,
751,593,718,037,934,607,802,345,396,696,326,313,814,763,774,584,480,087,943,
442,627,592,127,239,537,810,985,505,528,149,448,286,709,587,553,220,841,517,
223,914,893,213,922,292,992,008,986,503,974,203,076,469,806,465,024,358,599,
025,664,139,084,673,859,821,005,889,822,976,621,828,204,270,787,288,965,423,
853,351,817,930,115,986,263,401,143,437,223,387,511,961,484,358,895,826,513,
772,424,555,273,601,131,112,392,228,083,272,259,692,951,471,726,760,067,433,
779,125,884,302,538,091,278,195,919,247,284,071,252,095,976,652,103,242,615,
923,790,705,301,649,223,430,476,382,876,187,750,469,338,297,831,197,416,993,
931,672,575,432,691,578,548,240,752,746,527,431,266,626,631,037,319,720,107,
594,884,340,188,336,794,980,300,822,344,010,539,409,142,522,200,783,984,436,
484,517,073,222,319,556,838,730,204,234,746,818,554,727,465,982,991,773,282,
501,546,067,067,270,618,240,873,020,132,327,774,931,341,751,407,509,450,832,
056,640,610,828,065,646,272,610,198,444,968,242,520,595,077,761,962,231,946,
112,047,131,920,683,986,017,099,057,633,605,796,348,213,040,813,798,255,110,
594,052,273,861,785,226,996,594,091,417,171,910,943,404,299,916,352,702,907,
533,919,774,445,967,228,944,810,524,881,526,128,447,835,928,747,000,203,930,
175,287,209,960,331,304,000,787,830,875,332,111,159,086,706,849,317,518,289,
209,993,080,805,421,856,184,981,422,288,007,913,331,430,616,833,568,129,276,
329,987,397,039,035,141,700,369,444,544,279,944,022,267,696,837,814,628,117,
873,184,395,449,918,617,458,590,518,928,118,190,618,820,006,803,908,000,743,
678,235,038,471,431,132,618,440,810,021,753,926,449,622,624,545,782,401,474,
366,054,338,830,440,709,939,269,533,661,671,575,014,614,027,005,211,132,782,
995,689,623,590,305,243,084,807,789,030,409,115,935,149,692,934,097,536,005,
661,430,171,440,966,362,312,681,299,357,005,154,452,865,805,356,324,491,922,
599,696,596,196,338,099,701,315,351,349,880,393,622,572,347,549,301,813,303,
935,751,982,246,851,018,004,503,240,314,109,785,566,044,101,634,804,371,441,
551,050,421,443,733,970,416,329,849,966,141,457,706,258,503,684,859,679,567,
753,482,043,622,862,691,679,057,187,364,180,224,889,884,736,848,621,377,894,
406,856,369,630,958,270,570,627,525,218,348,036,593,129,575,186,575,601,857,
980,327,005,146,239,781,054,161,730,431,471,178,528,748,146,136,844,562,638,
850,090,910,684,193,998,951,969,827,079,765,924,162,118,956,506,436,102,457,
583,634,611,640,012,261,692,722,569,686,622,070,403,343,229,763,368,891,115,
752,783,672,806,378,908,471,149,484,469,979,086,264,922,910,382,714,019,202,
324,194,602,839,761,931,635,087,962,889,700,731,999,301,557,185,675,715,020,
239,647,680,735,873,931,329,122,747,015,112,471,611,383,366,757,986,032,716,
171,466,464,028,957,818,471,880,152,511,559,175,532,213,102,672,449,964,855,
065,163,747,540,496,032,396,804,093,182,584,052,612,019,450,282,616,734,787,
336,096,638,319,808,138,904,423,548,620,322,200,383,494,679,885,416,328,032,
032,718,856,516,795,745,278,723,063,473,709,015,205,217,811,653,099,641,908,
776,312,708,061,491,357,858,696,676,048,590,894,765,278,626,268,936,455,936,
255,617,134,105,607,432,778,677,101,755,409,829,793,410,999,213,500,064,688,
347,411,711,532,395,510,851,458,246,847,659,426,759,174,687,298,127,375,424,
972,758,169,954,261,300,020,337,910,911,334,917,484,782,507,400,437,408,911,
956,643,595,075,390,171,872,172,529,105,540,163,712,939,079,901,827,892,159,
469,212,097,308,793,973,851,180,468,528,187,364,109,618,499,849,083,319,495,
647,271,800,987,597,691,120,424,037,131,514,354,905,626,399,817,976,795,751,
683,285,656,441,956,574,652,378,214,041,381,037,394,941,297,316,824,335,852,
440,166,979,657,864,483,827,338,339,775,133,476,183,911,653,637,711,931,808,
530,326,825,148,787,097,371,386,131,910,121,480,290,098,660,714,699,990,786,
054,929,605,160,476,445,990,367,778,179,897,342,943,655,641,333,703,637,117,
813,826,635,596,203,991,687,557,542,099,546,748,261,669,604,771,949,803,664,
142,816,226,121,172,991,357,704,126,474,334,787,528,365,199,849,647,390,487,
385,552,608,811,195,843,020,215,200,729,888,375,533,592,351,631,291,362,350,
576,103,000,626,075,731,996,244,939,577,315,893,525,966,016,025,376,624,500,
107,289,224,852,459,560,906,653,478,398,782,291,114,879,177,142,618,706,346,
484,427,408,152,791,679,335,868,426,450,404,035,283,252,256,244,606,513,152,
302,998,584,753,087,864,549,297,945,713,123,795,034,128,008,435,659,621,245,
879,405,290,596,080,732,595,996,169,672,074,661,121,817,039,936,846,922,602,
920,521,504,645,225,306,465,820,624,986,026,871,262,482,484,763,342,032,181,
644,788,515,249,198,558,444,924,940,864,595,799,037,075,203,910,617,580,522,
422,947,212,457,458,336,234,629,211,307,648,095,742,209,779,481,838,139,280,
023,821,079,419,409,305,332,173,735,554,633,849,647,518,893,697,601,997,411,
956,320,888,694,940,326,324,954,452,033,454,079,966,611,767,126,636,327,262,
170,433,843,876,150,287,966,485,919,769,159,074,687,028,968,581,453,016,939,
860,700,808,642,349,980,459,678,352,053,922,522,405,098,126,725,425,620,849,
230,169,433,617,530,450,569,934,051,154,315,206,543,404,079,846,613,227,349,
824,558,052,580,222,613,752,660,176,006,656,592,405,276,135,086,300,582,987,
030,259,673,721,890,156,786,609,532,370,868,894,909,094,813,691,980,898,741,
911,902,900,643,849,983,034,015,048,125,904,094,205,360,842,647,005,859,027,
962,306,740,359,990,434,729,568,394,265,105,561,066,254,525,643,434,275,796,
934,529,924,243,259,367,364,788,263,173,095,039,451,310,821,276,148,621,141,
051,986,897,658,576,923,150,177,194,987,890,604,093,980,751,713,161,460,545,
002,650,851,291,993,078,335,532,869,524,214,691,257,785,945,776,387,279,597,
148,475,791,253,595,714,969,795,148,730,670,459,941,090,094,096,259,456,460,
771,622,141,288,835,085,264,550,724,066,384,437,213,366,665,779,142,730,367,
664,907,503,675,947,243,616,071,170,004,295,585,807,866,912,719,983,971,113,
070,843,298,215,638,373,555,550,919,217,807,926,880,914,806,877,384,088,686,
548,771,792,966,158,536,919,001,484,237,544,855,699,366,048,044,767,321,064,
486,891,891,595,401,835,432,829,975,373,946,497,173,930,609,308,740,200,746,
626,848,706,438,760,830,101,450,383,692,216,037,884,521,882,949,193,620,292,
038,088,168,592,459,657,711,829,465,837,796,519,639,103,551,021,728,763,425,
480,032,074,814,963,899,694,041,108,985,877,359,290,081,181,165,264,388,726,
646,552,117,694,485,310,331,112,453,644,114,972,076,665,962,737,694,682,116,
427,369,464,418,831,369,436,482,545,903,578,654,038,671,885,940,174,353,690,
943,897,743,753,953,826,665,784,480,359,169,549,651,393,534,288,172,945,494,
160,453,645,042,979,572,596,509,190,648,977,032,563,690,993,394,109,816,360,
115,253,228,618,011,983,668,213,999,424,403,292,656,300,068,916,560,849,260,
404,141,471,820,004,911,747,183,512,480,177,741,925,815,033,830,597,535,533,
962,442,803,061,579,846,993,776,540,540,570,733,721,636,084,233,230,711,728,
465,682,354,186,135,352,752,626,777,492,787,081,810,874,839,886,888,264,462,
587,616,078,214,512,498,856,315,899,070,888,247,556,969,125,956,170,683,843,
628,231,046,565,029,313,812,622,593,883,169,978,685,471,309,478,544,073,917,
809,833,227,708,633,461,400,939,546,097,483,508,911,543,061,626,225,684,349,
276,172,447,862,842,047,351,444,626,655,524,372,721,490,492,576,741,503,052,
568,771,084,122,798,424,038,375,371,128,759,814,415,790,462,645,521,174,826,
218,038,116,810,123,812,281,013,702,659,298,082,824,976,923,924,869,065,622,
484,287,934,218,299,297,318,900,641,344,803,938,686,513,093,692,227,063,041,
467,823,872,916,993,813,460,887,395,254,631,264,245,376,069,750,429,849,029,
329,326,499,467,294,142,087,729,677,814,163,090,424,004,812,709,863,603,673,
015,540,746,612,177,488,111,823,047,422,637,268,670,032,560,077,076,257,811,
683,016,214,405,948,545,182,663,658,259,881,541,658,185,289,164,905,415,329,
174,945,560,272,429,700,834,251,946,190,909,633,793,491,336,452,486,421,888,
596,072,810,210,198,760,274,191,912,956,221,182,248,125,478,673,553,028,489,
457,454,066,358,841,633,728,406,352,731,179,870,954,741,498,366,120,080,455,
835,467,700,781,743,567,705,481,960,310,031,478,011,642,238,024,881,081,325,
109,812,713,666,965,565,738,911,471,383,978,669,135,768,184,267,762,636,572,
976,656,913,522,121,064,767,164,087,047,478,062,271,106,842,353,303,353,164,
323,799,028,817,280,002,256,905,075,949,266,259,024,292,381,448,934,952,352,
164,420,143,959,628,796,384,582,400,153,106,146,772,321,198,014,546,835,721,
945,173,358,190,630,453,666,804,792,806,604,601,523,904,882,673,545,482,380,
198,517,963,968,055,825,010,947,052,692,738,398,453,781,122,230,544,163,629,
931,417,929,620,825,391,507,712,299,985,960,698,780,540,335,304,783,224,856,
400,792,106,606,984,823,136,257,083,650,252,515,355,040,951,319,127,765,845,
116,836,405,619,570,391,578,752,302,606,187,628,466,301,429,379,149,846,409,
171,431,312,760,862,470,297,634,471,307,869,354,357,376,655,627,559,891,309,
390,098,240,790,460,703,950,420,768,257,753,113,396,439,270,718,790,950,811,
528,080,160,526,423,138,507,295,683,548,428,439,548,374,372,991,673,764,514,
735,445,903,725,053,911,838,102,621,395,100,240,996,579,065,663,709,418,062,
223,392,472,864,547,448,458,115,370,860,107,198,398,370,639,274,352,243,207,
209,276,555,365,484,800,028,897,233,401,888,454,709,016,470,724,831,682,899,
003,730,993,607,231,286,878,795,878,916,585,898,210,174,530,806,536,510,610,
475,748,808,464,934,621,542,214,008,656,083,425,884,684,079,433,344,958,656,
731,053,682,077,446,440,070,960,220,555,607,425,888,374,964,363,624,070,946,
941,482,402,491,011,268,726,697,543,648,620,672,318,070,127,411,816,231,487,
168,322,859,431,272,255,919,234,786,663,475,615,388,503,778,749,821,086,925,
032,878,157,909,851,417,491,489,739,264,733,718,367,139,047,694,724,339,624,
230,486,270,979,872,613,660,553,858,258,508,904,544,275,873,367,307,046,330,
649,670,121,730,960,180,347,310,949,148,085,749,723,969,821,241,984,131,527,
154,828,888,818,869,480,915,184,110,095,159,773,607,511,807,723,006,049,731,
821,261,344,635,669,656,549,766,431,545,623,818,632,679,222,399,880,486,004,
234,477,372,201,918,798,958,390,009,834,189,180,535,754,978,072,393,729,645,
910,521,096,419,497,972,342,846,780,500,918,766,780,360,371,223,047,053,059,
576,087,949,467,360,251,659,819,093,792,102,406,354,677,346,119,802,734,019,
880,460,367,601,515,039,240,939,155,989,759,576,012,654,660,266,629,257,583,
121,695,637,444,189,136,536,686,374,272,577,721,964,520,170,378,029,596,470,
224,051,447,309,031,574,025,159,613,314,817,085,208,733,721,875,352,990,606,
540,249,335,430,563,201,276,214,193,897,750,581,918,625,493,036,444,445,379,
650,803,326,717,833,716,835,847,014,641,749,797,484,968,536,879,141,184,931,
485,494,110,424,189,360,189,340,291,390,523,335,665,686,734,865,385,371,000,
381,447,078,707,028,156,431,409,131,711,212,263,482,201,647,518,842,985,193,
684,551,523,742,386,147,025,392,638,919,596,280,168,071,338,316,087,197,297,
915,381,954,229,732,331,328,347,567,540,664,527,761,642,439,873,075,241,256,
664,485,852,309,884,873,874,691,784,528,591,961,223,107,795,625,210,198,294,
595,538,396,568,626,279,185,211,901,912,317,458,736,443,341,228,205,958,787,
616,450,198,178,458,216,695,291,547,060,419,660,388,328,657,858,487,931,863,
183,709,579,690,710,550,100,224,656,060,327,287,494,765,352,949,070,871,587,
529,323,201,512,041,367,818,946,114,824,802,798,846,998,378,448,318,423,412,
452,383,111,919,856,758,722,254,136,862,774,341,663,258,354,300,514,361,963,
240,334,373,207,342,450,227,706,115,437,165,538,003,808,463,198,155,271,407,
581,536,594,459,596,506,231,237,115,777,857,837,232,480,888,227,602,255,162,
704,144,426,448,653,374,352,329,175,838,886,669,564,463,172,512,179,065,978,
966,030,276,408,991,792,410,325,356,016,093,496,021,187,707,862,894,377,856,
196,600,686,688,825,432,744,354,364,468,858,066,406,340,079,899,069,759,490,
891,166,429,327,118,763,138,301,911,926,085,178,852,220,928,447,591,884,337,
415,872,224,109,490,831,107,473,375,039,714,215,833,260,877,168,698,498,120,
958,870,361,786,101,311,686,768,505,474,242,883,683,104,442,461,377,566,589,
232,591,490,306,296,635,904,583,813,874,334,821,523,533,590,510,085,179,157,
406,536,455,067,290,073,429,108,359,736,532,305,818,024,627,382,312,213,982,
325,309,142,202,240,037,637,317,639,645,680,686,188,249,496,353,509,865,944,
778,609,569,578,785,358,181,842,975,174,348,292,260,516,383,858,963,993,808,
943,561,618,641,309,648,961,523,359,176,728,354,698,176,362,199,044,132,915,
115,319,102,004,193,507,873,778,329,118,595,716,460,629,406,998,325,602,883,
074,886,905,273,962,892,941,677,846,390,611,704,436,543,309,778,298,993,113,
736,169,196,620,155,450,225,788,978,666,407,328,806,062,261,128,650,888,617,
931,773,350,612,557,678,150,241,421,606,383,806,462,422,727,470,987,523,520,
473,766,171,126,714,789,365,891,719,021,438,371,389,225,210,711,646,730,903,
633,616,331,501,546,791,597,140,282,523,202,161,240,320,096,586,907,172,639,
637,530,926,763,152,881,697,276,611,288,997,280,174,023,317,604,386,829,844,
482,510,881,052,254,598,006,863,870,382,099,422,144,015,496,641,626,370,650,
067,620,542,106,117,094,734,502,156,611,282,157,997,693,208,152,096,021,935,
990,142,561,881,361,417,621,205,911,676,009,645,900,326,244,256,418,814,680,
236,581,134,931,642,789,574,337,174,710,210,558,418,239,458,490,035,652,586,
828,464,834,782,310,218,491,269,637,586,778,401,782,783,466,673,619,958,570,
021,401,096,970,246,899,010,730,446,121,704,851,402,294,431,210,101,419,673,
287,912,496,352,564,588,436,533,608,141,133,508,112,470,783,444,907,421,434,
989,029,320,659,793,771,530,042,504,860,036,243,078,921,508,184,709,289,247,
555,342,069,092,585,122,085,940,246,303,461,850,876,757,132,075,578,908,005,
554,882,552,392,868,083,556,153,599,345,328,274,288,551,952,051,691,988,876,
433,101,724,932,693,571,415,225,285,624,552,103,706,036,597,817,867,172,892,
202,720,260,075,619,098,413,828,157,838,210,324,582,887,566,079,954,651,373,
416,272,863,823,428,281,593,055,432,441,211,424,525,733,864,478,807,103,577,
046,828,481,216,451,305,199,981,308,266,413,022,338,391,864,955,292,063,010,
061,246,368,054,087,011,637,903,783,804,403,671,293,376,560,288,535,786,816,
643,695,507,431,127,557,100,241,559,201,601,266,359,041,675,339,099,072,312,
922,527,114,569,586,986,123,852,782,506,005,090,788,566,822,984,606,054,861,
473,999,332,289,241,402,785,653,436,778,939,761,779,306,718,260,196,945,907,
528,083,333,733,330,927,245,103,158,338,390,032,540,419,737,438,142,659,046,
962,735,641,791,145,363,956,950,622,138,195,422,454,494,358,804,033,933,965,
482,352,185,173,625,103,369,471,448,566,163,089,428,937,348,026,280,767,832,
634,786,380,994,842,250,182,430,407,394,319,853,013,145,579,157,694,602,768,
047,987,027,417,650,225,299,253,962,721,324,275,642,562,923,176,722,448,045,
327,152,142,599,363,713,341,880,168,368,805,464,029,288,850,003,176,110,367,
546,339,924,513,928,319,708,284,623,012,308,267,932,648,179,603,238,678,167,
933,791,892,184,295,047,423,108,493,390,251,680,358,698,518,267,171,041,279,
103,738,547,770,847,146,895,291,105,873,871,868,848,440,092,834,080,785,704,
745,321,687,108,130,905,400,901,852,362,369,811,652,908,420,453,622,505,074,
429,221,992,963,267,694,244,503,710,881,381,557,091,913,523,483,358,504,686,
786,087,448,001,597,673,054,293,659,699,839,283,174,897,009,649,115,894,090,
920,019,402,035,012,577,911,694,484,941,869,749,013,610,457,129,763,357,018,
448,654,484,469,794,374,986,736,928,439,598,423,379,783,127,345,843,404,610,
851,142,969,577,670,342,251,774,577,827,912,271,559,766,084,736,945,021,067,
685,541,280,253,405,339,999,394,950,400,628,875,967,104,204,056,410,844,148,
914,319,091,177,104,309,171,799,089,297,254,013,004,770,282,786,830,670,660,
305,249,226,579,524,861,860,486,114,671,688,153,888,367,628,578,471,518,565,
763,090,358,315,518,286,857,720,173,474,591,470,941,353,875,216,657,822,471,
893,188,365,448,973,989,221,837,383,561,176,666,906,288,908,313,311,002,113,
640,919,584,387,497,676,169,920,997,961,725,508,931,506,857,355,908,536,837,
500,615,744,464,925,629,599,382,826,056,036,836,223,128,898,737,130,383,727,
239,625,044,581,651,405,247,563,829,904,973,447,548,897,561,710,735,386,156,
931,532,279,535,461,319,152,455,260,417,122,616,493,858,192,049,725,184,453,
232,739,759,223,500,162,795,592,583,291,219,128,817,347,750,071,659,103,839,
240,419,713,614,293,376,227,521,981,211,498,427,942,307,426,891,930,496,212,
147,299,625,276,669,628,057,356,862,112,007,173,363,355,781,859,015,597,704,
263,108,208,481,508,232,777,142,569,007,079,038,999,458,481,609,479,816,014,
199,440,715,622,028,400,770,844,979,439,139,494,184,353,963,652,688,261,277,
938,872,396,806,212,273,915,830,056,927,328,564,994,610,144,335,175,751,640,
603,667,674,427,938,813,710,680,967,301,476,423,627,956,737,986,545,652,721,
354,073,322,062,963,531,414,402,361,452,736,853,010,788,430,869,778,365,575,
295,224,569,046,026,104,689,896,157,204,893,429,328,586,815,690,407,366,515,
849,835,254,362,995,665,651,872,439,832,996,272,259,697,962,402,340,267,257,
649,582,723,865,651,227,593,621,858,969,840,793,805,797,590,500,016,340,023,
914,181,076,545,818,643,402,574,962,389,020,700,738,668,583,564,691,059,988,
320,284,458,811,475,846,967,073,950,489,835,471,090,425,399,765,567,455,538,
671,753,149,103,611,911,698,059,326,911,501,161,358,169,598,301,968,362,012,
240,546,652,379,677,501,023,229,608,202,041,941,777,619,031,980,427,926,377,
868,394,395,459,666,894,511,402,810,991,399,422,449,566,372,923,718,909,471,
969,202,332,071,063,441,795,038,529,037,827,124,871,839,785,910,591,248,208,
288,359,415,651,471,967,148,642,189,136,527,380,050,318,590,831,388,022,606,
223,261,647,413,742,722,974,089,582,800,188,621,811,164,057,218,091,907,926,
331,986,547,112,414,260,469,558,448,777,624,555,421,900,430,684,045,845,675,
293,182,554,718,838,341,474,524,687,751,549,393,665,036,037,778,293,222,399,
154,648,971,612,601,933,386,905,830,109,995,754,603,587,302,961,146,138,323,
284,602,719,416,583,814,117,934,960,305,390,211,525,324,517,703,247,298,983,
928,517,856,979,235,239,729,431,459,260,355,658,027,963,260,421,093,384,126,
725,012,302,880,548,777,985,353,630,831,508,817,055,138,451,924,113,064,756,
402,364,256,471,325,733,867,474,087,658,520,865,967,541,862,316,449,756,795,
093,745,662,064,456,713,224,210,265,661,450,800,899,597,373,289,563,480,094,
554,224,663,210,561,870,020,800,217,158,017,546,261,825,958,505,064,185,357,
641,577,611,093,889,949,723,174,045,586,421,512,634,067,084,571,015,885,530,
924,783,625,562,498,743,690,691,009,668,984,115,681,845,625,811,134,929,418,
884,427,769,380,507,685,194,647,548,381,883,459,414,354,340,618,366,700,397,
583,810,215,102,415,550,637,908,397,909,471,039,858,794,833,647,812,434,711,
708,396,465,767,577,073,861,574,466,266,223,125,444,473,876,308,677,272,103,
538,647,040,939,102,857,333,755,791,650,687,106,033,178,950,354,449,353,120,
627,669,139,644,918,403,331,426,103,173,340,810,490,734,167,188,803,374,300,
821,031,840,733,444,968,541,097,292,488,613,969,080,135,496,868,106,971,104,
241,456,851,964,624,983,683,508,057,585,436,125,128,328,916,402,248,722,169,
463,532,846,647,031,234,575,475,917,122,976,472,160,756,036,638,816,309,703,
575,018,623,154,368,832,772,646,611,348,648,916,233,979,813,550,504,010,847,
412,842,040,463,098,558,434,077,765,196,149,308,865,415,468,747,031,251,493,
755,817,785,231,465,042,579,641,688,420,846,090,565,119,066,999,420,775,046,
904,831,261,190,657,298,095,638,275,742,577,898,874,699,167,288,300,817,924,
533,590,637,618,350,285,507,947,841,440,719,969,339,614,162,247,092,051,488,
314,187,892,027,127,125,761,525,098,422,782,371,163,193,376,776,086,296,736,
632,185,357,893,910,787,216,627,717,174,232,210,790,577,833,167,958,568,455,
234,090,549,574,969,230,646,237,903,169,324,751,518,292,121,716,515,089,820,
869,418,291,083,664,198,663,583,057,413,672,100,685,984,009,875,325,017,201,
197,144,627,330,180,310,816,796,183,322,464,342,633,163,775,095,141,258,112,
950,196,317,811,807,821,853,022,974,613,671,859,152,026,111,866,730,293,726,
092,308,606,042,951,313,670,775,027,505,823,073,076,904,024,268,695,080,911,
979,313,382,260,514,641,867,035,048,674,750,990,459,053,417,708,262,619,656,
845,405,453,155,017,405,260,954,342,333,341,370,114,139,996,482,606,583,290,
393,997,605,747,340,084,029,845,270,424,935,475,901,543,429,610,289,462,977,
419,403,247,242,502,500,039,677,789,885,903,178,255,059,048,541,827,498,747,
365,895,996,792,671,333,814,512,329,563,957,627,991,751,124,660,763,745,648,
005,668,259,508,191,318,431,003,151,726,275,514,437,934,417,870,733,235,462,
238,213,536,224,670,052,189,408,867,889,657,394,757,061,880,148,339,316,096,
777,330,649,233,830,268,629,051,355,287,171,244,069,719,543,587,795,204,887,
636,482,096,491,338,810,166,465,768,510,938,560,231,563,182,558,428,496,059,
197,700,090,673,698,960,201,759,402,528,253,043,284,988,457,902,305,826,537,
977,873,157,739,590,824,086,075,043,031,211,002,613,777,514,252,620,900,327,
423,885,967,660,727,880,064,457,155,244,061,880,979,849,130,465,293,255,566,
942,684,933,384,830,017,496,806,685,653,425,094,857,913,163,433,350,596,934,
815,903,427,054,332,309,367,670,840,007,620,914,077,591,357,010,300,386,281,
920,659,281,918,776,690,530,875,104,069,866,165,119,532,469,171,959,480,016,
923,034,041,954,062,240,028,794,661,736,797,762,647,474,004,247,347,143,485,
477,638,725,084,228,622,041,480,566,676,359,115,853,427,799,559,307,162,200,
501,364,778,858,633,211,985,085,063,691,450,046,197,588,718,661,008,919,705,
052,031,369,956,094,664,957,701,003,268,987,701,075,574,153,795,247,685,077,
737,794,301,921,205,964,334,691,711,487,479,384,582,852,855,225,393,522,649,
216,381,063,202,206,253,470,810,964,135,293,994,756,866,265,219,651,031,306,
345,439,046,032,170,840,083,359,560,768,346,443,378,678,088,100,221,638,573,
706,098,537,409,218,481,371,337,974,987,029,599,012,131,076,073,958,381,259,
210,212,486,205,958,174,631,583,338,716,622,528,269,368,295,770,697,343,003,
917,087,660,330,780,782,262,456,059,881,823,926,324,516,879,625,423,959,836,
413,547,351,758,963,594,657,477,268,818,548,114,935,781,640,649,268,701,565,
389,135,930,225,254,945,033,238,057,494,568,000,103,565,562,332,412,544,755,
038,675,267,851,129,435,727,355,413,460,201,050,954,576,405,537,565,687,233,
291,880,073,509,608,216,002,566,919,741,368,034,512,200,854,442,909,184,842,
214,604,717,684,263,907,648,814,688,286,605,344,777,518,570,533,843,095,033,
592,681,552,790,020,277,832,000,261,306,224,955,628,609,472,979,700,074,945,
058,149,302,897,047,847,591,385,506,762,853,616,762,790,464,118,199,542,854,
805,429,170,883,883,420,718,357,206,813,312,553,048,740,017,745,188,677,848,
526,133,668,801,954,105,575,725,382,101,453,077,052,802,525,402,198,837,133,
078,170,868,498,561,044,536,224,309,807,983,945,321,757,412,141,369,813,500,
126,078,666,339,305,908,518,210,912,360,609,283,425,069,283,498,181,876,803,
422,345,844,367,464,969,314,364,128,556,861,239,889,082,092,042,097,181,791,
338,391,878,538,629,718,012,591,611,249,596,346,752,543,410,861,292,158,432,
462,464,088,413,958,054,866,479,682,647,912,007,328,409,728,814,194,065,872,
436,975,064,512,962,556,318,807,116,283,905,585,604,028,576,689,758,283,203,
544,375,664,951,710,531,388,316,461,330,894,923,871,451,002,478,766,736,487,
969,748,487,007,369,387,857,577,453,823,527,712,347,278,960,744,236,600,873,
574,378,636,874,078,063,387,874,110,386,900,326,781,566,557,412,821,052,924,
283,806,221,338,902,316,955,089,447,346,614,247,620,165,602,354,786,928,631,
324,894,757,909,312,851,857,056,612,644,100,702,097,366,834,230,567,378,348,
301,623,399,545,254,588,041,732,923,908,458,536,507,282,721,727,016,029,566,
963,581,625,061,890,889,685,744,682,119,348,558,222,398,495,531,917,049,758,
542,018,410,129,610,792,512,811,931,210,001,221,801,570,805,522,681,223,164,
225,781,103,183,277,931,746,079,827,237,555,246,612,138,521,154,876,933,953,
378,551,764,583,287,358,976,828,344,769,846,081,842,237,897,130,296,293,453,
893,645,473,747,627,386,904,608,294,650,732,955,755,167,128,961,806,689,426,
913,481,563,112,148,935,790,955,870,189,831,648,517,660,376,631,114,730,699,
910,417,945,194,256,592,207,619,237,694,842,464,623,207,329,247,976,216,381,
042,264,133,262,742,211,389,706,907,954,299,795,748,257,708,504,248,990,271,
550,236,734,978,230,067,482,890,849,695,631,834,079,216,807,574,600,622,228,
865,895,610,740,062,374,058,171,375,320,921,680,097,214,402,895,819,467,886,
219,860,702,210,656,516,993,198,813,192,850,920,992,613,676,907,424,705,299,
971,866,409,288,811,214,493,400,024,046,121,741,847,383,504,824,428,946,406,
538,633,120,206,929,368,336,603,125,887,177,343,831,517,505,733,866,900,179,
588,411,428,001,408,697,765,012,160,228,978,078,076,101,501,145,615,058,748,
330,477,114,063,910,940,780,662,608,840,967,533,191,402,209,165,554,972,930,
414,965,679,460,556,365,809,419,858,820,659,091,170,330,432,527,739,771,908,
810,943,585,669,714,556,539,504,498,180,287,166,746,722,415,242,194,328,840,
042,196,528,412,283,534,030,674,772,587,583,655,776,062,882,576,784,236,988,
982,417,008,496,694,510,689,949,041,393,552,791,023,496,061,445,595,272,519,
141,726,488,310,548,676,594,288,481,121,460,549,109,604,550,425,110,410,642,
339,060,667,291,698,747,310,418,159,229,971,138,169,909,260,870,331,197,970,
333,382,124,972,527,552,966,983,126,961,757,208,889,388,620,330,155,088,982,
227,722,013,544,209,831,437,387,931,216,425,070,111,108,429,823,128,405,236,
871,582,005,320,087,166,507,834,981,371,380,102,716,836,276,540,455,832,536,
711,865,247,490,561,911,515,488,348,193,828,271,601,448,552,039,014,021,889,
067,825,943,501,892,052,671,658,739,921,172,822,565,949,632,284,320,849,797,
574,140,663,819,180,236,388,367,189,953,621,776,433,986,523,171,927,146,242,
224,022,665,441,775,429,552,730,321,450,930,424,700,286,322,510,648,588,060,
688,508,331,973,889,689,205,197,035,352,956,286,100,925,607,428,703,272,450,
898,205,798,401,214,191,896,446,173,835,113,465,470,278,568,421,093,607,092,
806,960,339,072,452,240,520,598,756,283,613,432,190,510,050,682,220,483,108,
822,028,498,129,263,710,878,935,481,911,048,441,731,472,231,990,669,136,743,
588,724,160,714,297,498,791,482,752,845,548,599,704,729,956,998,204,376,684,
396,500,619,386,825,949,950,902,313,177,102,115,970,341,888,401,696,052,731,
018,556,175,007,408,867,610,812,181,364,770,806,522,689,767,261,413,190,441,
802,480,739,223,782,986,470,792,705,762,586,237,741,537,604,271,761,789,250,
962,726,975,896,510,897,357,521,701,853,024,967,573,809,103,803,028,106,267,
490,724,141,874,205,240,810,393,806,034,553,677,454,854,058,982,460,526,464,
196,173,581,262,464,879,317,706,691,965,724,633,200,011,556,230,955,388,497,
873,983,247,370,941,269,055,937,528,774,845,860,327,849,092,462,988,242,556,
207,379,786,722,618,571,099,978,556,577,631,160,256,396,458,245,842,173,384,
167,522,675,032,997,147,227,959,948,158,618,958,379,905,342,063,850,845,090,
847,697,033,745,704,890,908,605,951,494,335,696,049,177,586,846,746,434,615,
290,932,962,970,999,313,200,143,297,439,635,986,657,900,667,000,719,219,730,
318,260,230,754,225,027,325,288,121,741,045,209,073,769,462,038,955,943,466,
521,024,348,745,611,543,415,701,686,364,511,405,620,535,359,940,524,900,380,
650,538,432,762,474,280,452,589,066,582,019,995,222,374,441,336,966,004,356,
582,132,630,251,950,966,403,786,808,418,142,276,923,422,907,617,478,696,645,
119,588,499,394,616,900,565,943,959,295,711,966,944,675,998,639,768,847,498,
148,683,009,110,919,491,444,203,088,166,203,110,514,662,817,802,860,223,182,
113,772,257,460,674,672,252,040,465,387,706,674,191,607,178,330,531,397,151,
912,854,456,134,947,640,205,762,404,834,420,903,457,076,567,693,400,071,400,
827,735,017,179,034,283,121,205,045,270,984,174,830,573,397,253,822,784,173,
555,260,240,702,892,626,701,203,258,493,826,239,401,709,108,687,126,869,539,
306,905,450,394,892,980,030,791,495,314,765,723,980,977,370,691,993,499,995,
138,236,188,276,852,367,953,893,442,902,866,841,720,977,361,003,486,737,983,
903,478,206,066,629,661,086,592,553,930,754,462,017,204,031,390,784,370,131,
413,910,973,149,284,121,511,699,649,317,621,271,191,986,691,236,981,462,679,
210,342,509,189,616,054,694,800,251,324,275,996,287,201,891,310,827,573,986,
162,088,030,411,340,033,545,399,609,120,618,425,035,388,511,713,774,439,262,
549,328,203,928,047,354,345,399,824,759,022,967,660,543,405,279,692,907,469,
279,481,169,418,496,332,646,719,992,406,757,223,127,093,158,279,769,854,071,
773,341,933,247,320,869,668,888,383,555,743,924,380,937,945,100,914,316,854,
688,226,729,288,902,250,404,792,692,233,038,809,305,834,149,181,588,715,500,
494,993,317,259,543,974,699,172,365,288,961,701,650,512,183,986,536,380,780,
968,603,950,319,776,372,493,675,076,341,132,368,174,230,876,775,115,383,520,
209,576,164,808,012,339,266,956,942,899,104,261,319,122,985,030,007,751,938,
070,229,330,764,341,711,743,945,808,773,672,274,249,238,610,196,296,995,255,
083,461,933,028,869,749,262,901,470,086,153,103,015,359,511,498,633,746,600,
539,387,119,800,277,786,820,157,271,219,362,392,177,456,358,291,599,417,754,
958,725,556,167,182,213,018,625,881,885,337,236,076,414,833,203,015,867,176,
999,246,923,181,826,522,697,176,048,435,592,917,989,211,025,710,515,341,291,
897,178,249,321,438,205,106,370,277,755,302,889,997,767,760,932,859,908,721,
214,776,375,829,858,912,533,857,411,297,002,891,185,047,240,873,781,106,606,
178,496,919,203,225,168,597,739,307,232,183,784,931,373,524,466,535,860,710,
409,936,071,656,644,090,810,535,215,194,515,699,503,314,939,105,410,194,172,
682,997,605,684,441,167,319,664,734,615,740,090,727,254,206,931,597,397,754,
377,066,166,890,709,155,147,626,338,630,387,522,669,040,204,061,310,078,200,
775,863,345,784,989,805,013,518,341,608,190,163,065,808,060,612,255,635,026,
174,043,030,275,759,858,661,492,029,390,485,791,160,344,658,668,793,916,684,
956,645,572,555,252,957,027,198,368,887,443,710,423,320,821,049,352,235,606,
737,865,289,663,448,395,172,320,264,381,421,679,741,651,178,172,437,436,015,
835,474,589,771,305,321,747,223,835,086,226,237,798,350,871,962,825,684,916,
392,159,434,648,661,277,855,939,096,114,031,733,059,084,760,851,149,401,332,
607,874,125,645,135,350,618,167,194,399,487,659,066,143,314,227,310,291,881,
860,655,802,704,419,088,884,368,850,749,024,513,344,010,927,032,922,461,602,
986,139,517,724,888,068,694,450,770,575,317,444,658,473,772,257,897,137,524,
442,609,453,077,020,094,986,260,049,039,662,430,036,264,393,466,314,394,891,
474,106,908,250,695,740,602,307,237,213,652,536,673,987,942,401,437,327,996,
816,457,234,020,243,275,707,068,029,156,290,823,414,424,784,018,678,330,336,
355,620,461,149,303,573,151,478,228,120,232,073,626,513,161,580,147,693,664,
861,770,462,084,791,601,065,097,980,621,004,549,697,803,060,415,424,506,515,
405,718,479,727,187,041,186,798,841,371,424,990,842,754,454,258,345,486,456,
946,543,207,415,261,796,180,306,921,518,687,784,735,918,116,075,825,548,566,
333,113,439,432,001,158,844,775,777,673,868,669,164,704,597,665,774,423,591,
887,727,444,233,586,026,856,956,852,264,389,179,216,174,714,326,286,912,461,
019,592,963,260,087,735,698,231,833,703,899,139,928,019,519,146,750,463,973,
355,153,386,020,131,951,154,086,332,050,471,754,847,001,703,905,302,127,529,
745,081,427,810,312,169,556,015,409,495,840,724,583,784,181,894,940,956,884,
910,990,005,697,036,766,684,356,808,893,943,778,244,672,359,434,000,929,532,
983,340,852,662,686,694,602,395,768,853,297,116,938,588,235,697,636,621,740,
680,232,439,801,350,284,120,542,772,579,795,323,955,598,585,807,248,336,943,
748,565,334,136,297,077,405,786,603,172,992,902,168,363,119,822,927,501,194,
892,724,741,919,914,347,216,277,048,838,986,841,088,906,137,101,283,369,045,
010,161,530,400,870,728,907,570,799,671,965,705,359,944,457,727,982,436,333,
476,597,874,285,701,594,444,514,886,546,394,770,333,168,695,984,585,857,854,
453,721,239,645,052,803,619,290,997,593,386,948,006,446,380,252,579,012,742,
403,259,307,707,756,495,256,813,070,184,256,267,854,985,402,777,305,081,255,
436,360,156,542,181,745,456,211,668,899,999,121,084,124,510,467,161,685,611,
940,997,974,423,768,723,358,683,608,144,385,591,368,858,430,293,951,996,086,
030,435,222,980,672,260,575,388,452,097,004,079,987,962,296,438,741,219,632,
624,316,384,804,843,432,740,500,089,803,496,046,891,697,948,565,712,101,195,
340,186,304,386,971,041,327,245,948,413,547,795,661,850,588,866,849,860,175,
288,662,248,163,717,094,182,679,565,345,068,984,189,269,435,127,532,089,600,
393,285,214,795,853,763,626,539,937,475,298,113,441,731,741,376,095,087,016,
381,169,240,149,539,869,222,611,357,754,824,172,820,496,403,594,750,566,800,
861,879,158,277,329,344,642,281,771,227,971,139,912,628,785,373,751,544,415,
914,773,173,714,557,981,134,253,318,013,536,760,203,731,676,945,104,739,231,
540,471,900,208,593,366,980,865,392,914,565,528,834,939,777,116,494,389,523,
223,080,574,313,714,677,755,017,441,647,937,632,565,173,940,936,981,877,079,
368,030,736,864,726,683,502,842,091,044,834,971,815,857,977,786,372,876,238,
942,767,029,704,953,732,392,457,154,949,668,716,482,086,685,135,041,982,770,
211,193,576,107,680,291,039,856,420,724,229,572,146,754,151,000,715,274,816,
559,940,735,486,734,984,520,003,560,124,120,103,394,786,518,285,710,795,268,
858,017,133,483,888,316,299,614,819,246,962,939,544,532,716,859,432,205,112,
958,111,907,379,733,644,818,092,221,693,035,786,795,419,984,784,412,844,583,
119,502,388,156,961,514,858,918,733,379,097,234,610,757,429,968,825,048,517,
135,432,271,342,015,458,065,218,224,397,080,821,803,356,559,103,831,412,375,
272,503,036,797,226,968,454,304,986,666,745,449,967,676,066,134,415,778,324,
437,274,384,042,425,425,480,877,864,578,287,799,178,750,046,869,245,913,990,
131,008,278,722,456,760,525,365,229,611,347,569,203,199,760,010,570,879,164,
695,848,345,301,992,611,442,300,278,579,446,720,592,309,751,521,409,817,512,
026,400,880,129,017,390,722,555,570,442,301,934,523,783,106,102,785,657,153,
072,374,209,896,050,579,662,669,449,058,893,007,881,601,080,040,083,825,521,
319,938,059,351,572,329,844,709,757,297,260,674,304,983,532,379,806,618,573,
573,344,779,798,001,059,489,761,371,050,447,705,699,969,393,109,839,104,416,
812,923,467,038,098,727,644,665,825,035,354,172,427,546,298,583,868,348,439,
979,218,496,492,776,726,781,615,757,223,792,026,482,178,861,860,083,953,421,
419,019,162,030,675,226,162,563,432,380,056,863,519,643,888,135,520,311,183,
357,677,989,665,045,011,537,728,773,834,795,638,288,849,207,212,106,839,977,
535,978,950,004,437,262,624,746,409,998,207,402,415,458,029,716,529,102,692,
775,794,863,431,982,353,256,343,896,667,879,364,032,211,809,797,357,937,994,
491,699,661,765,766,410,002,231,844,321,506,171,538,773,072,798,921,185,452,
226,253,723,530,103,075,412,350,176,206,265,022,477,235,997,590,677,449,945,
167,213,695,435,561,921,563,565,985,060,702,659,713,465,492,971,571,441,459,
319,277,520,741,756,502,354,262,262,467,075,207,031,266,195,154,304,411,943,
548,625,902,290,999,930,661,163,585,882,663,030,782,309,774,945,056,417,810,
913,578,342,902,703,392,398,519,312,458,290,152,042,712,277,506,217,957,430,
785,832,782,583,121,675,094,218,353,387,461,231,070,436,515,277,240,994,998,
314,690,780,907,934,689,369,138,477,141,595,273,556,836,508,153,548,114,738,
066,171,412,196,601,050,709,595,763,127,166,210,145,405,679,351,509,086,371,
276,299,670,364,663,981,621,041,184,926,700,534,926,324,027,757,486,402,599,
216,622,370,158,408,568,299,686,568,633,026,177,954,302,395,969,758,076,277,
749,280,815,471,661,792,026,701,216,965,050,400,364,198,189,349,867,882,891,
346,795,816,986,981,374,547,463,567,359,982,629,084,262,084,764,050,453,885,
254,675,425,812,181,404,176,379,518,211,740,500,348,409,512,363,967,848,473,
848,235,388,911,053,400,347,640,796,363,751,617,274,916,223,454,943,134,904,
797,590,421,247,652,758,031,478,312,561,704,371,651,402,007,128,076,690,712,
494,935,345,490,762,150,536,754,879,402,439,312,127,243,853,721,928,097,154,
259,298,174,299,078,340,223,616,179,465,107,053,313,207,811,947,112,744,241,
459,476,720,360,455,037,118,289,882,706,596,604,870,378,409,614,123,905,522,
768,099,268,929,630,739,846,018,267,990,865,868,361,974,585,967,516,407,091,
057,606,673,311,120,418,022,585,533,906,795,108,303,902,516,891,442,994,143,
023,462,401,106,215,547,222,154,132,181,226,528,672,076,649,919,130,211,767,
462,894,838,577,528,318,790,818,976,693,965,637,673,795,865,453,334,914,680,
143,587,397,956,437,417,336,591,977,035,649,876,130,414,519,521,462,930,982,
107,839,836,022,215,629,950,625,028,291,436,300,770,872,406,393,168,184,768,
577,497,602,831,681,197,644,454,218,879,133,334,208,663,455,083,931,243,625,
804,373,125,727,373,607,738,813,196,905,051,336,411,223,638,787,667,080,439,
007,660,820,967,361,172,283,463,305,388,769,406,833,747,794,370,739,027,929,
786,682,081,470,155,563,233,077,490,349,399,002,186,198,036,112,039,328,667,
913,206,501,936,382,514,861,539,039,789,910,015,667,523,111,125,940,886,686,
839,721,025,910,436,704,637,132,650,325,009,135,959,510,938,837,659,658,362,
202,229,790,231,400,511,332,804,706,400,090,569,579,754,153,481,067,552,183,
832,126,488,198,432,819,332,701,702,543,850,183,505,077,683,003,990,371,635,
814,783,033,832,646,778,956,734,128,324,527,306,727,202,768,143,231,778,769,
561,624,757,962,433,793,306,928,659,864,482,236,940,079,533,476,461,821,919,
569,530,364,419,338,073,676,068,138,913,203,605,956,204,702,540,949,812,204,
825,131,153,288,340,358,070,588,361,143,189,617,107,341,630,911,965,378,083,
529,870,145,407,967,378,831,932,746,917,817,124,217,529,235,897,029,877,729,
551,386,523,041,052,910,004,617,844,369,544,627,280,098,291,450,851,131,681,
400,879,936,677,253,406,858,383,134,943,344,154,561,310,975,593,646,708,988,
789,740,128,118,262,332,122,928,388,217,800,771,055,103,372,862,140,283,416,
542,396,878,023,732,410,391,158,971,793,030,066,736,249,866,254,689,883,192,
393,887,809,895,892,334,988,027,529,548,013,992,585,936,965,267,351,390,503,
475,482,052,534,566,517,793,548,813,248,876,577,725,457,996,406,251,967,798,
077,243,490,220,256,889,363,817,711,936,137,727,173,489,220,825,922,036,509,
273,116,342,901,809,463,114,402,873,615,345,107,447,500,850,803,387,418,344,
980,031,767,374,055,512,222,443,209,428,787,246,398,800,463,326,940,782,677,
546,964,508,834,099,250,750,533,069,598,217,493,314,639,804,468,798,746,871,
447,923,034,926,543,822,210,179,015,092,492,943,915,692,485,797,216,128,956,
921,787,386,785,589,539,375,254,639,632,719,422,355,215,053,133,204,492,444,
623,584,483,901,482,198,534,204,799,816,400,979,088,857,783,977,850,023,310,
009,771,964,557,924,143,810,340,896,478,390,911,160,369,689,105,429,758,886,
017,019,397,509,851,423,568,536,461,457,249,736,964,238,031,105,789,411,834,
830,249,280,373,326,391,340,387,713,532,591,738,581,074,371,728,324,727,425,
413,147,788,504,002,400,128,386,643,106,445,964,618,822,215,062,430,890,468,
388,029,001,285,297,633,605,995,086,502,350,207,776,039,610,896,917,224,490,
406,928,966,404,780,498,842,747,324,918,459,109,192,578,247,141,639,526,419,
185,848,705,947,650,531,819,904,233,892,848,613,256,771,205,050,206,639,021,
973,170,662,367,655,650,451,636,598,474,582,532,285,845,815,149,696,987,608,
143,684,478,933,960,082,708,901,071,173,980,881,160,281,294,099,664,490,465,
021,128,063,258,977,214,832,482,182,879,928,981,030,379,957,041,201,747,488,
919,463,432,605,226,143,139,383,628,109,913,831,612,787,113,926,223,260,437,
850,910,726,345,473,211,048,109,413,559,231,163,280,940,449,736,171,959,088,
942,305,138,015,244,064,094,904,986,542,968,510,209,281,633,279,264,164,633,
669,096,719,043,419,272,869,421,617,342,563,557,349,511,074,614,015,041,246,
365,936,155,641,117,143,578,720,849,000,380,820,702,219,126,616,132,686,430,
550,209,072,936,651,544,847,898,954,525,838,082,404,085,014,023,998,801,513,
014,914,929,590,524,227,741,273,164,018,695,927,000,411,632,391,336,629,403,
760,573,812,852,890,180,300,755,534,913,924,534,073,211,861,996,400,059,504,
589,099,277,022,134,377,652,921,267,874,489,800,083,627,732,558,912,336,867,
766,293,733,753,205,643,630,182,672,332,598,873,659,478,977,466,289,011,613,
872,411,308,778,383,906,953,865,234,234,354,513,371,970,837,691,677,263,493,
802,196,255,950,985,325,564,120,507,594,154,944,205,857,425,178,602,374,962,
191,663,991,691,013,180,815,673,968,197,606,590,240,232,459,508,549,305,382,
498,631,120,493,330,249,221,638,840,730,512,363,794,559,659,355,912,354,716,
733,360,253,563,584,137,401,936,625,790,315,581,156,994,466,752,566,862,778,
693,635,422,495,779,060,106,553,327,132,779,337,458,579,901,308,735,269,843,
885,912,134,976,628,698,339,944,713,160,783,282,020,416,950,605,709,044,676,
752,540,372,109,606,933,689,525,205,052,768,412,080,812,234,433,752,661,002,
873,655,418,035,902,208,220,764,118,030,420,805,241,283,279,997,417,664,961,
843,561,823,221,779,105,631,821,702,215,557,398,630,688,349,955,066,094,834,
826,866,070,455,455,528,634,658,718,874,977,122,550,287,224,150,708,262,763,
136,193,535,963,048,016,476,362,370,391,045,058,832,465,401,856,085,734,431,
447,974,080,236,917,128,131,075,343,546,910,861,835,778,455,704,977,288,094,
775,870,860,568,485,466,505,698,202,650,456,146,889,944,056,938,223,422,308,
332,254,505,331,767,783,080,899,824,490,413,902,056,710,458,343,781,160,047,
281,319,745,259,936,948,227,006,209,841,490,014,883,777,732,507,958,210,197,
596,316,187,827,765,139,025,209,438,194,950,187,054,796,770,366,206,256,531,
051,031,788,571,744,373,632,653,552,035,261,818,884,124,340,080,905,916,177,
882,156,402,578,256,403,867,291,110,539,399,431,465,168,012,629,323,630,671,
194,057,255,304,744,836,753,884,629,663,637,111,955,855,541,796,815,702,455,
546,844,514,852,982,883,476,642,298,027,883,443,868,921,770,209,493,870,244,
702,231,776,443,840,005,622,614,310,368,281,709,984,768,716,754,858,339,690,
327,873,561,814,010,153,529,199,320,708,935,781,895,852,136,681,464,962,082,
596,124,634,430,627,079,746,840,168,715,246,396,541,940,340,567,845,490,107,
467,837,588,198,678,257,809,682,526,494,427,998,363,754,527,277,246,358,652,
867,493,159,329,220,293,741,185,156,918,270,020,731,690,140,991,776,279,827,
699,467,246,718,714,486,672,423,001,097,661,436,328,994,961,636,550,429,040,
267,652,937,631,097,274,646,093,669,430,420,298,431,184,729,700,609,008,193,
570,828,050,928,213,269,419,452,232,789,594,608,072,583,867,539,002,394,475,
127,916,569,110,571,709,550,652,143,590,176,282,179,264,896,728,677,564,200,
316,845,727,780,542,173,419,361,403,062,609,875,830,401,795,584,953,056,769,
273,513,290,940,506,802,683,915,248,024,416,911,766,429,731,999,145,204,695,
952,475,716,118,401,035,366,147,542,135,338,079,797,149,968,470,970,930,984,
861,714,249,853,608,768,199,901,109,310,918,626,887,267,516,928,327,119,161,
467,677,797,060,676,419,579,387,177,721,176,588,755,897,854,932,174,545,547,
201,277,584,316,460,949,831,648,700,494,941,559,514,308,663,175,028,009,605,
006,740,947,638,583,687,584,276,978,915,390,158,349,002,044,963,805,079,401,
531,911,688,178,084,827,517,011,659,629,500,584,771,757,214,760,335,267,556,
684,365,137,803,859,270,209,986,075,695,090,235,037,247,887,311,161,061,613,
188,484,448,937,178,009,596,038,450,671,658,349,644,950,222,591,233,251,518,
688,477,643,638,358,648,885,601,226,671,878,253,861,223,261,008,772,384,551,
029,719,135,810,922,292,664,983,216,509,870,040,421,090,430,040,581,956,287,
429,588,852,179,714,999,645,777,787,474,661,354,726,654,968,585,497,589,459,
196,290,810,666,000,838,818,538,759,677,546,015,073,484,714,184,736,894,569,
211,022,153,413,808,449,420,159,106,070,722,612,487,177,325,459,496,776,999,
703,156,042,381,084,105,722,328,134,563,081,960,466,256,094,970,451,104,305,
873,152,205,353,074,431,010,094,654,009,232,927,495,272,342,993,834,675,216,
260,940,746,596,009,799,696,459,392,627,431,999,404,483,600,738,510,506,867,
856,754,818,340,485,863,383,575,058,627,037,179,411,590,460,555,542,478,237,
571,666,397,538,312,119,735,977,428,466,065,797,174,318,145,934,612,102,862,
410,575,507,309,927,721,513,279,069,599,986,442,596,536,820,844,620,664,059,
065,679,297,726,609,981,611,113,872,843,260,119,141,065,976,650,200,137,153,
044,339,903,254,780,828,284,557,210,960,004,545,267,317,954,432,873,917,003,
621,605,433,391,823,417,872,052,634,616,836,600,009,303,479,470,795,315,261,
838,965,294,202,936,731,340,704,145,419,984,134,664,324,560,986,021,961,997,
258,481,428,617,575,906,766,701,189,691,663,996,398,269,170,827,991,412,192,
056,629,536,577,356,118,645,884,570,976,261,325,446,995,950,551,178,637,840,
974,747,504,635,490,527,224,802,515,478,499,953,101,177,134,569,610,242,076,
746,333,345,694,923,112,625,813,860,896,300,829,618,046,682,022,453,200,240,
955,843,388,123,813,166,106,026,126,557,326,795,678,448,403,083,927,589,113,
015,949,685,897,060,508,661,802,854,406,137,045,074,829,429,391,730,593,356,
473,294,021,264,349,245,382,689,341,228,222,644,962,661,409,571,169,226,672,
795,922,109,286,509,198,657,141,636,134,543,371,101,971,117,308,688,493,932,
113,955,053,860,752,113,704,482,595,496,661,044,219,820,013,019,850,193,059,
706,510,042,086,691,379,414,984,054,598,628,497,535,910,208,552,546,146,173,
211,959,565,503,782,845,352,728,245,724,417,033,053,315,028,700,075,147,084,
226,482,700,719,712,082,308,753,753,108,894,485,311,974,664,953,849,134,159,
556,602,844,259,449,524,686,827,611,699,450,472,385,787,602,836,619,684,198,
044,098,005,786,135,473,570,296,248,959,504,664,491,492,571,793,585,786,500,
812,371,374,770,642,788,410,760,323,899,537,116,216,963,448,965,278,717,816,
446,627,206,395,998,035,662,368,076,793,924,047,344,518,823,882,639,844,528,
959,583,772,197,749,645,649,967,997,951,858,006,456,327,297,124,333,726,506,
545,057,451,289,678,722,011,229,171,846,192,442,977,140,691,923,097,322,715,
620,091,916,414,255,061,649,398,065,452,759,268,697,772,185,946,947,581,397,
425,467,817,770,462,584,723,334,492,619,233,287,656,044,857,691,035,330,485,
141,696,108,391,650,858,122,597,833,489,027,927,559,532,663,520,535,677,295,
660,058,847,053,059,823,372,869,452,415,104,494,540,298,815,108,260,928,801,
797,426,550,686,062,039,806,344,157,697,201,621,050,997,537,173,217,741,454,
685,945,073,519,585,783,881,197,599,565,217,572,394,363,979,208,628,225,462,
592,053,714,964,668,386,850,727,409,801,512,898,442,978,256,043,041,050,578,
180,999,564,208,674,845,210,280,604,226,841,150,973,790,747,316,905,254,942,
097,911,966,447,411,209,225,211,940,873,038,390,684,605,363,132,652,322,620,
625,665,131,371,716,807,916,901,079,104,356,554,017,800,403,840,627,223,653,
521,094,925,846,611,757,362,629,332,250,340,198,167,436,281,187,441,175,336,
761,377,033,173,825,479,802,804,603,294,046,194,164,728,580,072,588,554,467,
914,616,488,247,797,077,126,864,181,668,751,447,614,721,056,028,517,313,823,
206,542,703,417,579,508,185,276,464,528,531,508,932,327,452,943,512,813,937,
892,811,287,230,296,124,474,765,014,044,775,570,173,447,237,240,627,334,247,
695,665,959,318,177,166,690,763,832,545,878,832,578,678,655,770,424,132,921,
826,023,949,731,594,439,350,793,160,650,529,437,865,331,127,423,312,735,717,
000,151,282,728,661,860,428,755,160,126,497,170,849,142,831,271,907,963,990,
029,664,529,571,029,943,361,307,098,596,599,090,188,795,913,404,363,572,669,
336,927,388,748,181,102,453,421,989,598,997,632,926,611,770,750,703,457,042,
300,021,982,123,740,186,294,810,337,570,751,778,436,862,005,583,565,295,029,
648,026,799,668,114,499,264,191,729,292,061,861,597,824,036,585,629,841,683,
203,488,912,107,115,691,528,010,231,146,175,214,162,929,966,258,225,229,909,
977,811,273,026,422,692,193,121,234,285,270,746,206,165,559,566,962,607,260,
239,945,359,320,528,711,260,227,017,758,813,989,547,957,408,738,762,836,160,
197,214,248,190,779,178,766,385,048,277,022,366,662,747,850,647,139,513,898,
115,003,267,490,410,367,415,439,181,593,514,944,206,002,985,814,939,086,967,
218,932,547,244,299,128,900,886,393,409,818,769,581,133,786,122,822,627,712,
708,300,470,660,606,335,592,964,533,260,899,424,947,146,493,345,486,998,891,
328,702,511,876,767,199,099,738,734,349,716,722,714,769,448,151,926,003,483,
232,083,086,228,186,615,831,129,526,837,953,625,830,948,221,869,645,810,922,
951,375,024,614,727,756,784,962,213,558,074,172,481,908,474,045,175,054,405,
266,525,202,745,283,598,468,519,103,339,015,123,111,617,405,276,869,319,057,
706,871,467,431,277,838,972,364,493,183,670,245,638,619,452,866,033,922,296,
522,649,741,919,606,851,946,611,939,562,583,301,614,954,172,873,108,742,118,
345,085,863,510,728,013,678,889,746,248,352,592,480,553,960,265,172,380,171,
422,205,893,619,466,369,556,350,592,921,967,150,514,504,605,804,402,060,643,
657,556,731,603,912,741,329,935,823,151,703,590,349,969,308,266,302,937,244,
392,569,393,228,266,445,442,153,035,782,039,677,182,919,904,413,372,316,403,
773,054,738,491,726,657,699,846,239,164,482,883,369,835,528,503,927,746,002,
809,837,674,777,766,174,975,930,935,485,939,958,223,737,423,467,471,567,218,
965,840,029,089,674,868,465,084,203,214,759,881,950,018,530,040,350,806,848,
902,882,894,188,589,016,292,575,955,156,042,828,148,713,068,184,470,634,564,
544,118,719,716,749,787,155,913,441,358,507,222,815,999,066,279,301,290,795,
902,583,329,202,994,537,951,376,189,476,955,085,550,892,679,014,986,484,177,
856,836,113,516,327,756,098,413,341,131,728,374,480,398,086,202,649,240,192,
693,319,221,937,994,137,705,464,224,812,792,265,263,913,739,114,286,189,949,
768,971,141,905,122,965,816,335,188,260,388,600,919,848,212,162,591,005,294,
938,401,306,458,393,668,483,345,249,720,508,429,130,911,067,430,945,946,605,
294,968,902,689,135,015,584,873,469,155,791,335,085,203,190,568,501,758,210,
835,946,594,105,093,250,351,518,388,928,024,233,611,828,669,141,295,879,745,
795,376,016,509,620,515,985,338,682,410,762,214,304,339,687,123,513,203,799,
352,236,422,672,633,875,898,192,086,345,417,281,964,708,510,400,080,951,734,
195,322,894,563,070,633,268,921,924,755,740,035,493,521,070,725,973,108,412,
954,280,363,619,116,417,584,798,418,819,896,656,984,497,790,163,445,188,108,
319,806,314,269,108,270,387,099,900,020,237,923,872,745,894,293,154,480,145,
786,588,259,556,190,685,470,245,673,692,038,874,295,884,476,876,576,638,508,
959,811,061,906,457,488,974,206,364,378,040,623,785,794,390,711,251,632,135,
397,364,732,551,735,360,708,048,913,348,936,416,352,014,401,462,282,274,061,
458,636,120,057,205,642,869,136,913,410,871,567,474,728,885,913,757,016,713,
209,810,288,350,352,360,134,774,885,286,285,470,530,241,473,151,418,513,793,
397,932,968,381,440,196,438,176,848,515,510,540,133,137,572,075,619,321,023,
863,809,873,761,470,393,456,585,406,768,308,163,891,852,157,589,642,787,028,
770,473,136,295,597,230,699,516,236,782,762,992,016,147,636,329,829,496,182,
931,797,796,504,867,033,101,161,433,939,099,738,478,627,650,528,767,043,397,
883,967,533,589,597,787,875,945,732,779,393,621,574,313,611,210,972,511,210,
225,504,644,889,667,587,504,158,579,796,311,881,741,116,370,600,568,547,118,
527,421,292,209,913,805,348,969,251,549,411,796,683,518,832,247,881,107,633,
503,478,738,243,519,860,299,142,673,267,603,712,410,653,094,596,287,942,202,
199,703,336,207,739,563,864,942,835,871,355,200,109,396,194,367,078,007,451,
581,503,836,830,884,427,681,974,733,985,255,639,913,835,313,426,372,135,486,
206,823,750,159,217,218,347,512,938,082,647,047,796,663,431,605,355,001,713,
237,547,955,048,000,252,173,727,692,428,103,535,052,389,703,355,343,415,175,
791,557,345,334,118,704,750,231,320,112,770,685,650,938,810,877,471,384,978,
524,691,287,966,433,198,077,984,368,317,505,551,376,587,725,404,615,932,733,
186,324,724,634,821,917,439,489,860,238,791,184,251,503,031,926,084,120,349,
477,002,727,897,304,020,133,567,062,377,792,374,754,778,113,210,172,750,718,
157,009,197,363,853,536,966,536,230,972,818,036,473,500,073,977,852,317,854,
846,495,313,592,863,841,359,358,228,232,644,403,492,371,370,740,984,473,914,
140,536,023,880,463,901,370,923,696,178,279,604,583,809,867,902,738,238,385,
485,580,100,168,569,714,373,666,476,675,663,228,814,041,421,697,841,261,844,
703,891,486,433,774,476,028,401,035,248,641,578,443,976,957,929,806,806,181,
586,650,567,021,481,363,039,811,925,327,345,601,105,689,323,472,132,598,061,
833,644,070,671,436,668,254,843,966,123,466,289,731,955,089,552,119,002,969,
100,949,326,043,999,586,547,627,588,258,158,130,515,919,697,462,187,262,612,
518,764,712,303,352,788,319,568,574,397,004,321,460,866,091,780,580,780,067,
908,109,748,488,340,415,089,454,835,476,238,396,179,288,367,200,030,639,982,
900,772,250,994,380,201,233,805,713,588,743,404,934,153,123,265,198,473,402,
830,264,090,870,971,646,590,555,140,181,600,538,337,130,055,324,988,685,019,
408,240,140,470,309,122,472,099,215,136,629,490,864,706,273,307,590,040,254,
827,131,568,031,393,501,296,430,883,728,321,661,593,993,071,592,160,177,654,
960,981,233,149,242,675,159,182,199,468,089,401,767,212,725,953,427,281,004,
915,118,440,528,182,504,308,878,042,003,862,406,334,515,361,879,168,710,005,
439,670,399,890,504,456,353,411,996,374,291,864,813,080,968,437,926,166,504,
267,162,011,571,655,981,353,468,496,057,572,090,235,348,792,484,956,666,613,
428,574,160,319,845,124,070,819,834,449,995,073,200,287,154,095,149,745,013,
016,323,644,324,718,262,794,337,988,001,509,479,249,745,945,944,649,685,729,
422,452,948,995,879,501,521,389,417,894,178,880,548,966,568,052,240,494,312,
361,426,934,961,467,389,622,179,929,645,280,683,977,831,802,183,848,154,959,
292,235,874,919,256,541,137,935,351,354,133,070,032,083,673,525,508,115,147,
075,289,169,974,343,212,159,564,241,810,256,424,451,604,486,202,113,606,515,
196,450,757,770,279,302,025,132,056,505,912,248,697,472,273,383,244,669,935,
480,931,517,022,123,613,034,972,301,456,865,095,393,263,984,228,806,750,541,
112,364,758,781,258,305,225,387,199,297,359,553,140,955,697,258,403,389,477,
812,338,399,702,686,799,356,969,211,354,280,655,015,213,469,261,567,037,555,
824,397,087,197,423,253,118,881,775,320,149,055,013,385,768,043,408,179,944,
556,030,354,960,951,833,147,344,203,287,844,302,305,886,328,802,869,952,911,
759,385,285,017,483,841,234,149,404,296,257,712,793,031,454,305,336,017,558,
684,342,714,358,273,621,179,647,749,227,180,120,426,147,796,692,670,261,721,
874,895,410,983,046,125,962,001,694,046,637,692,466,236,023,226,818,497,112,
595,672,111,615,058,208,610,707,374,166,520,349,848,715,166,972,032,541,294,
308,031,843,627,893,196,780,680,714,820,433,562,178,346,661,752,294,631,429,
030,995,835,393,905,471,498,782,798,524,828,880,539,010,191,770,345,077,695,
095,463,950,305,849,458,875,972,187,702,578,158,425,816,116,140,421,894,975,
752,033,435,031,462,387,566,607,435,158,171,563,748,754,182,044,887,450,129,
728,516,087,501,598,938,215,158,398,971,593,861,209,282,175,505,985,465,977,
226,569,108,517,061,029,802,364,806,407,385,493,910,089,309,976,130,192,654,
504,706,171,061,823,775,766,205,997,316,495,074,623,450,072,936,739,276,137,
146,393,053,580,974,492,782,037,599,434,409,990,330,250,021,815,466,339,918,
718,705,057,618,354,446,487,495,845,700,041,667,295,119,294,206,486,199,554,
520,955,218,606,354,425,472,144,297,623,482,023,955,549,536,178,688,919,050,
941,834,006,018,142,290,541,992,618,263,805,078,529,358,203,949,866,652,802,
593,579,878,198,677,676,637,393,780,067,143,150,411,089,800,114,140,659,352,
075,320,525,813,145,585,505,574,895,268,845,438,887,732,502,464,930,469,331,
108,556,930,300,464,931,105,697,523,983,361,746,264,031,562,700,648,960,721,
198,682,115,737,865,072,976,055,325,036,396,755,792,403,837,326,955,622,534,
257,921,667,359,677,735,946,866,389,836,844,919,878,179,437,223,494,711,089,
097,294,353,555,438,343,219,950,110,662,551,161,711,771,261,171,444,708,202,
894,649,421,048,442,481,985,984,133,963,816,272,502,467,706,341,361,119,115,
148,357,834,104,587,990,368,234,068,237,407,299,152,272,217,180,615,225,725,
897,350,568,992,130,921,546,996,008,118,425,704,523,626,038,011,415,495,024,
056,412,980,144,383,707,140,540,452,760,115,048,436,097,287,088,851,538,128,
946,473,099,372,707,203,376,589,410,011,697,794,953,125,770,562,452,229,803,
807,171,360,197,558,073,871,057,732,365,897,662,378,730,799,403,863,813,236,
172,590,240,635,700,907,575,877,163,837,717,226,107,284,956,696,116,130,160,
818,485,400,358,536,048,732,497,094,255,690,910,218,142,522,351,677,132,830,
988,912,411,714,851,198,819,901,996,662,891,021,257,988,552,289,719,200,854,
248,542,199,721,834,297,174,665,443,703,535,594,335,990,250,397,420,579,309,
614,096,620,639,287,002,166,421,903,826,141,427,571,655,698,880,217,548,013,
579,746,729,577,222,933,095,917,409,414,553,124,129,140,416,561,012,863,915,
011,422,157,587,931,037,884,822,869,518,995,891,232,890,308,285,852,206,523,
812,697,828,055,194,289,807,281,635,140,969,883,719,098,830,298,562,237,169,
975,436,964,624,590,773,100,611,286,026,634,830,622,093,147,532,208,238,384,
481,324,310,130,393,667,884,353,264,205,861,891,676,727,788,517,532,848,023,
698,632,519,906,801,390,027,520,362,610,919,037,945,008,480,021,465,083,846,
322,334,012,528,304,842,124,730,632,376,082,900,724,877,069,177,319,424,963,
640,421,753,173,664,841,721,934,567,736,501,486,425,698,800,628,365,092,696,
295,692,207,404,383,068,059,337,705,188,243,811,112,230,220,384,244,481,389,
915,834,220,386,554,305,244,340,617,892,097,677,781,752,752,561,329,104,095,
607,014,908,214,480,593,108,176,364,231,762,767,466,466,946,256,555,316,678,
775,503,968,125,954,255,824,366,806,428,367,122,551,682,479,063,277,759,792,
376,490,203,392,332,953,104,015,936,215,660,630,939,312,810,984,341,046,501,
685,980,845,843,193,504,447,076,489,490,883,872,878,837,262,350,827,982,468,
211,283,960,932,616,839,586,299,725,464,760,775,938,772,170,815,242,075,521,
092,942,614,036,930,939,131,652,839,695,152,517,800,150,689,239,302,352,055,
402,024,244,754,983,785,913,459,449,887,644,068,982,099,833,391,744,680,910,
504,406,261,431,362,129,874,130,497,233,157,123,850,020,085,535,176,742,805,
330,190,256,470,805,260,004,512,900,934,597,039,262,936,219,536,522,266,097,
213,718,771,420,074,575,297,593,375,220,919,940,688,574,572,362,167,401,015,
706,679,449,460,170,282,969,186,668,009,522,559,118,442,267,343,346,346,192,
731,266,513,337,411,267,381,874,818,669,789,858,895,020,305,298,109,760,166,
777,089,017,565,773,758,482,877,621,129,169,452,262,855,547,238,034,048,764,
862,154,170,891,953,556,438,823,282,704,527,479,930,535,748,468,158,720,982,
434,527,694,953,315,223,584,512,254,645,356,288,409,955,462,979,810,328,341,
318,849,455,691,229,257,656,228,219,296,698,498,769,920,327,737,405,494,906,
175,712,532,388,517,709,953,756,442,570,192,966,620,946,386,064,001,137,130,
371,912,813,456,826,424,155,127,560,576,282,113,054,870,090,685,540,199,892,
434,283,651,984,643,440,729,142,443,351,116,540,551,880,025,753,271,693,015,
632,083,499,928,687,123,304,728,783,632,466,470,776,157,986,960,750,456,267,
053,832,802,494,481,181,527,675,727,209,128,028,015,745,314,449,979,679,908,
137,163,048,236,836,402,172,210,505,222,471,400,408,942,992,728,036,247,560,
456,661,194,342,513,304,543,830,257,300,055,292,846,688,531,005,301,915,625,
891,991,171,330,065,988,119,188,439,479,856,854,579,977,529,610,485,257,389,
985,209,976,249,797,108,652,136,296,612,480,255,300,822,503,642,671,588,068,
837,656,320,519,163,173,244,582,390,260,413,437,948,937,751,932,816,440,211,
770,125,011,782,576,957,082,687,543,968,949,103,672,272,925,457,786,353,088,
766,189,655,261,126,817,284,933,077,766,123,719,320,471,973,258,021,774,062,
218,948,366,022,072,025,115,618,383,077,403,811,735,191,276,712,661,684,691,
342,248,618,732,987,079,498,349,408,075,246,027,295,544,185,765,739,015,533,
865,716,251,349,718,426,077,439,845,743,827,066,606,161,990,029,603,778,416,
381,640,962,669,187,017,616,025,573,310,516,628,397,998,588,661,720,321,455,
015,733,398,606,774,495,691,998,026,748,905,139,095,939,047,309,017,664,522,
576,868,320,764,741,202,132,134,591,970,814,939,113,934,993,047,832,278,628,
179,370,261,114,906,874,202,148,965,118,457,047,171,842,249,647,310,518,850,
173,339,929,810,784,068,646,807,063,473,964,452,975,199,140,738,460,852,349,
656,135,255,421,314,905,101,766,030,238,314,250,684,194,130,418,788,948,011,
231,367,911,462,006,274,697,825,750,631,886,689,468,292,999,604,053,437,774,
301,735,281,477,393,583,100,778,458,972,902,259,167,927,131,191,558,543,359,
001,369,451,849,136,759,589,995,403,610,516,855,310,131,503,487,778,058,675,
210,811,539,914,024,018,294,264,191,510,852,854,211,647,398,759,340,788,286,
429,566,225,824,554,427,526,231,500,401,179,701,822,585,941,113,928,906,491,
903,677,882,829,138,685,197,478,945,991,045,958,720,157,969,484,188,978,606,
499,822,729,875,718,790,509,276,569,253,413,727,162,434,383,302,707,766,227,
662,020,661,824,615,170,006,121,801,442,972,655,700,744,155,719,009,390,370,
485,180,078,872,322,551,733,692,134,712,536,093,117,909,288,295,263,276,712,
683,145,106,226,496,487,274,152,986,790,734,431,885,855,884,672,469,373,039,
722,948,082,801,799,655,601,418,627,490,290,675,857,724,095,309,851,749,892,
237,935,202,493,955,232,300,466,254,802,512,624,783,022,927,700,133,551,496,
597,520,036,382,278,585,886,254,230,226,947,898,194,547,036,233,704,872,557,
748,259,086,499,091,150,755,734,249,336,451,931,824,797,783,164,143,256,729,
636,374,562,259,139,129,075,480,460,706,918,802,041,424,254,313,299,785,879,
332,928,139,774,159,107,772,750,932,623,709,581,331,626,477,381,098,088,276,
257,735,240,621,350,859,042,227,881,876,081,438,580,594,779,294,393,436,381,
986,953,078,130,153,374,342,318,224,707,415,193,166,543,084,557,726,649,539,
071,275,990,328,390,334,099,141,966,816,523,969,796,463,023,885,812,679,890,
709,356,283,080,689,111,912,810,642,626,407,659,681,523,788,248,210,919,297,
746,356,202,690,922,787,445,103,919,464,829,796,991,229,668,114,745,012,472,
680,744,538,441,181,982,598,170,507,247,248,713,857,691,633,328,074,274,519,
951,278,385,142,043,330,047,413,088,572,555,824,260,634,919,615,281,953,250,
739,302,242,756,480,214,384,838,898,170,194,605,867,023,601,375,155,710,895,
324,754,578,051,358,335,828,717,510,702,977,924,132,894,894,300,322,721,852,
361,774,867,586,911,830,947,933,585,339,562,276,901,600,871,555,761,298,528,
514,860,902,486,790,768,476,784,938,619,156,003,619,322,799,743,450,138,059,
001,282,270,556,263,794,593,507,361,547,301,801,305,551,620,348,498,651,442,
775,203,558,566,378,782,299,169,553,925,545,120,582,040,573,140,432,722,583,
592,399,612,570,394,906,818,022,672,610,672,655,529,824,008,266,841,205,940,
760,552,594,086,922,706,292,428,161,253,904,008,812,325,201,095,772,421,296,
153,254,835,337,443,610,253,361,254,865,920,408,848,807,439,620,557,183,417,
352,733,728,140,672,511,361,839,987,462,240,728,280,089,721,048,711,037,769,
185,998,770,568,419,591,247,362,214,075,849,743,202,663,799,550,879,693,759,
524,901,159,346,711,735,044,047,284,260,278,555,184,468,628,200,332,453,268,
558,117,477,362,891,226,102,593,168,666,867,610,504,884,666,621,330,577,981,
964,124,054,334,715,107,985,066,109,543,021,520,205,208,176,005,747,471,099,
473,490,785,763,623,543,745,610,115,336,251,078,272,346,564,364,880,059,476,
174,544,852,208,901,753,310,767,001,262,815,944,058,010,879,308,142,978,124,
536,159,575,841,718,880,623,321,375,935,196,915,806,564,115,905,378,222,101,
166,905,956,332,404,118,698,537,913,171,438,562,281,539,564,680,426,467,131,
276,033,407,676,573,007,061,416,708,398,825,086,881,241,172,370,179,755,929,
994,348,068,968,302,004,668,576,689,496,730,482,812,902,121,555,715,509,082,
254,134,640,175,881,622,173,524,750,926,819,475,230,565,222,411,541,411,887,
069,460,263,464,141,720,603,473,805,374,618,684,274,818,852,030,021,101,417,
757,703,485,967,930,022,038,021,296,274,335,532,463,037,760,793,241,443,288,
564,753,212,678,672,890,558,244,337,256,217,166,028,976,887,332,025,141,333,
745,462,764,703,145,393,248,930,992,191,509,365,288,282,057,012,652,739,919,
347,367,705,825,283,879,385,524,582,240,294,544,208,261,890,046,639,184,457,
278,962,397,952,030,632,107,505,384,178,594,247,200,080,255,293,120,005,454,
424,152,301,430,390,596,938,098,527,192,537,096,593,723,736,464,316,714,691,
887,644,270,655,402,761,296,658,900,490,747,603,899,386,072,919,545,181,905,
511,566,551,330,344,497,793,306,292,114,684,953,724,792,783,714,553,461,243,
024,165,725,675,974,797,279,846,732,944,245,558,831,682,891,304,455,572,932,
635,340,544,475,780,038,394,678,630,736,623,575,462,641,974,477,114,523,853,
826,600,560,853,533,863,000,054,707,883,023,799,869,363,730,677,574,059,453,
059,682,795,476,480,874,895,595,534,696,370,339,475,104,298,113,000,528,595,
030,522,351,868,309,211,644,686,069,589,636,097,994,136,576,737,684,228,579,
907,224,292,781,493,261,923,085,564,936,680,497,947,358,225,528,047,192,705,
338,355,800,046,491,042,042,872,569,694,732,299,892,770,372,609,521,200,771,
087,932,577,574,430,216,486,226,408,338,384,125,409,074,800,135,126,567,047,
031,625,839,746,826,570,426,332,464,327,659,326,737,432,857,511,875,816,894,
293,179,976,339,541,151,964,162,461,905,429,086,998,425,942,114,058,916,910,
766,086,476,326,276,079,554,280,017,293,514,736,260,759,602,967,000,292,145,
261,501,143,641,256,974,486,237,784,877,611,640,161,756,449,555,119,080,696,
784,691,445,739,971,138,656,560,900,483,980,825,968,257,204,510,084,222,371,
555,979,115,200,951,978,734,559,229,140,093,639,388,928,790,267,444,102,390,
830,843,359,036,349,879,215,031,042,556,129,280,485,324,118,238,824,820,784,
226,554,285,827,380,631,135,110,762,230,944,579,725,519,938,320,054,868,080,
765,385,926,140,556,120,499,004,809,886,421,114,478,514,419,003,035,038,771,
994,395,391,367,683,840,938,146,542,981,286,344,287,289,939,763,592,214,995,
248,062,793,117,259,601,479,670,009,521,772,656,993,990,886,764,127,291,099,
540,582,726,251,673,803,423,942,776,545,037,243,818,129,665,800,444,911,531,
479,751,177,992,765,101,423,705,831,301,936,813,567,082,449,653,594,274,421,
758,292,274,549,110,589,951,949,477,792,929,750,978,879,558,038,946,480,604,
249,276,662,409,699,267,736,442,893,334,588,772,012,460,317,556,982,379,683,
297,295,681,683,646,380,328,440,882,026,660,315,199,316,497,947,726,193,158,
176,771,298,515,364,637,049,723,385,765,422,097,487,242,343,262,152,061,491,
042,325,891,166,178,441,523,891,586,756,023,466,851,783,853,247,961,259,116,
505,749,490,292,433,470,918,791,949,009,235,028,475,402,722,474,157,092,790,
726,550,647,790,364,321,859,517,930,516,827,475,048,032,115,997,792,007,770,
872,985,489,587,709,577,402,291,344,060,381,802,394,523,945,720,728,935,923,
233,986,699,531,733,166,301,148,114,095,702,682,873,217,570,999,262,384,869,
956,994,294,101,928,043,642,132,351,627,104,591,491,808,924,295,002,554,327,
813,375,498,870,639,527,529,189,051,381,039,206,287,204,217,798,545,336,608,
292,717,946,838,656,671,514,815,781,547,852,345,592,769,220,171,094,546,814,
677,933,220,112,185,615,951,301,967,942,434,445,152,297,495,491,023,472,304,
316,732,315,332,003,919,626,327,134,360,030,601,380,915,729,654,079,612,453,
249,647,211,779,311,438,568,641,919,591,561,636,489,427,980,701,383,323,885,
036,540,320,338,212,350,619,092,813,332,127,789,275,544,662,106,715,040,163,
483,905,707,934,377,177,502,560,875,739,315,584,735,361,341,441,833,257,553,
580,312,568,479,738,356,338,882,707,155,990,692,935,592,647,354,920,785,557,
923,834,421,828,748,808,956,841,402,675,987,971,333,681,117,817,841,125,748,
960,421,943,593,815,084,208,846,274,777,609,873,141,977,598,165,709,565,519,
318,468,726,163,849,220,388,238,303,025,270,274,019,269,946,014,123,823,102,
807,815,186,952,133,755,413,722,834,159,642,045,104,459,877,047,201,772,921,
494,167,225,246,906,330,932,420,362,053,420,588,425,282,846,701,750,436,122,
105,189,832,272,969,619,517,164,936,299,791,971,207,636,179,916,120,779,080,
993,769,894,412,578,414,154,313,095,264,839,521,568,655,363,694,238,796,762,
296,127,810,654,113,112,554,383,471,704,169,505,274,265,265,549,986,455,710,
518,247,163,739,720,002,044,391,855,607,023,205,279,523,982,624,982,553,452,
697,095,051,793,261,009,421,396,804,341,629,098,332,476,015,327,595,366,970,
990,584,247,345,841,685,961,042,868,083,762,214,800,526,460,057,914,336,166,
064,841,434,103,630,100,125,054,726,096,829,196,804,841,971,170,388,573,485,
344,905,740,937,369,718,577,784,955,257,812,255,416,710,070,820,051,716,051,
350,779,122,302,570,103,683,517,937,910,505,100,633,298,040,490,101,495,664,
031,765,471,358,456,318,194,247,237,977,096,753,734,152,043,024,823,408,314,
882,093,399,392,172,791,292,133,235,676,974,730,349,096,029,186,643,499,838,
938,057,668,266,832,869,780,670,109,266,317,270,105,492,621,728,220,164,136,
907,507,152,588,832,065,298,026,685,935,571,610,714,068,995,376,715,367,660,
154,592,953,761,560,299,575,831,731,821,638,295,040,098,911,329,480,153,202,
441,039,157,126,684,873,586,101,685,822,096,636,390,833,068,505,977,897,376,
055,629,016,410,137,674,691,668,985,264,840,508,033,509,937,990,379,036,034,
163,427,138,091,036,450,432,109,334,449,974,902,042,341,298,168,199,376,633,
136,513,886,060,880,054,728,282,322,710,840,899,371,416,599,229,804,776,675,
084,034,090,024,602,164,803,251,670,975,415,162,412,070,779,744,892,319,773,
011,358,234,932,469,704,193,143,986,189,419,280,662,412,559,501,770,032,386,
116,582,518,014,402,800,652,311,234,299,753,144,642,540,052,275,540,144,395,
038,185,962,861,693,478,856,326,825,371,835,613,141,999,734,232,481,102,194,
989,938,752,014,795,516,158,367,465,863,004,536,837,244,184,729,441,477,502,
898,499,784,090,076,324,889,456,954,680,911,445,318,977,020,276,059,274,576,
867,355,734,845,751,713,140,241,036,439,609,793,346,196,865,775,914,135,700,
256,614,138,762,950,577,492,014,730,485,827,523,581,615,608,902,488,559,346,
984,020,905,167,053,706,865,006,942,418,175,316,525,501,778,027,565,418,043,
118,449,677,394,779,720,562,388,812,866,951,672,317,041,503,393,443,274,320,
095,979,125,230,835,701,426,082,562,704,155,891,838,597,566,617,248,548,542,
006,027,190,056,126,297,105,538,776,695,068,120,090,763,682,510,073,997,394,
401,407,045,584,122,035,476,155,960,451,478,561,932,292,580,704,140,314,556,
380,225,399,572,440,729,301,188,855,467,917,392,561,997,429,066,741,727,609,
916,456,044,104,122,071,530,307,115,916,180,834,264,787,161,342,750,487,127,
454,480,162,432,139,778,717,277,194,034,827,327,841,749,820,712,218,354,570,
876,068,750,499,068,906,829,999,147,683,645,961,145,055,613,927,428,721,216,
928,958,097,168,174,648,276,731,411,384,758,953,007,722,953,285,510,481,402,
611,748,152,423,293,049,746,726,044,711,842,758,989,232,092,012,384,614,964,
191,662,575,572,277,294,969,041,397,307,878,078,709,144,964,088,380,013,230,
257,788,940,833,521,257,735,822,661,369,632,064,506,921,004,979,105,018,558,
382,778,695,524,136,935,061,705,749,553,632,355,216,033,643,668,714,883,627,
868,579,775,529,097,534,566,396,537,207,240,060,923,523,280,261,241,102,095,
282,511,545,268,630,410,964,340,733,154,706,547,871,890,120,224,672,337,268,
886,997,514,540,866,220,528,269,342,657,666,220,307,066,658,680,848,055,755,
821,649,421,964,833,111,734,394,128,056,600,085,151,247,510,758,662,810,616,
052,604,067,719,315,318,879,620,072,874,386,430,670,804,382,461,403,058,335,
273,799,232,623,961,941,891,151,042,762,480,554,647,926,649,137,336,899,084,
069,232,468,724,838,077,055,490,437,110,163,984,163,109,662,709,411,240,890,
260,551,341,256,269,171,621,036,479,821,560,210,134,574,569,401,820,268,290,
525,074,400,192,634,681,518,492,563,837,436,905,412,166,616,310,665,632,803,
787,318,606,131,098,279,406,898,739,923,175,265,757,903,961,824,197,960,009,
040,925,377,681,107,225,415,562,386,282,631,279,580,944,764,531,098,264,862,
576,971,686,672,099,636,357,365,080,449,178,500,783,212,558,483,322,836,251,
572,617,599,176,291,379,193,760,101,154,402,077,673,925,262,501,043,739,509,
351,707,931,516,454,038,181,690,631,771,674,521,695,171,968,613,376,776,849,
248,577,111,152,932,118,597,693,308,404,927,283,372,183,656,339,316,131,865,
459,630,391,421,202,760,487,548,588,609,107,604,945,054,232,165,365,013,134,
444,940,838,709,123,593,906,789,095,741,327,050,305,133,221,354,361,329,246,
159,264,779,850,872,565,077,570,731,080,055,594,463,012,117,761,211,829,047,
948,439,651,182,727,693,600,424,855,551,011,926,214,191,662,697,204,516,106,
843,446,015,561,493,088,772,633,324,843,769,453,011,648,222,494,683,418,507,
271,954,173,036,747,814,522,710,029,566,209,688,457,656,026,959,450,293,618,
275,373,518,977,742,241,801,343,399,553,395,778,283,150,680,473,764,458,360,
719,411,464,903,480,945,767,335,238,600,636,271,095,394,758,432,756,991,256,
704,959,219,943,651,805,986,545,823,988,804,249,128,772,816,462,437,593,293,
392,932,490,051,876,571,926,090,835,807,963,739,230,394,208,239,620,226,244,
325,448,699,543,586,393,304,093,271,473,874,247,356,986,830,815,790,715,896,
870,031,123,422,427,758,061,040,030,460,467,569,049,061,383,219,478,735,900,
422,551,360,495,732,791,039,469,602,137,650,512,609,844,700,435,483,206,720,
444,474,179,116,630,251,159,771,671,788,481,369,458,272,855,373,495,353,830,
446,203,069,370,005,868,214,711,554,136,616,128,787,605,635,211,584,743,125,
317,857,253,189,231,281,117,230,707,361,114,509,836,193,018,846,290,801,181,
819,579,378,128,476,290,362,015,548,606,494,866,739,795,156,608,206,286,494,
550,434,918,624,841,020,413,621,093,275,618,228,832,835,248,668,975,380,878,
591,675,143,505,321,019,769,133,419,859,957,252,048,117,158,885,430,072,662,
452,736,318,658,948,766,688,996,405,039,540,261,456,651,777,642,586,147,436,
673,778,420,052,894,549,442,834,282,491,778,378,456,671,105,680,647,744,725,
431,810,977,079,516,142,772,149,101,211,253,617,331,154,706,498,767,568,647,
254,469,184,873,916,185,288,178,067,571,577,770,136,535,160,481,185,458,903,
845,225,130,916,028,334,268,389,660,421,968,843,950,365,206,971,313,012,382,
983,745,723,817,530,279,248,350,983,889,463,355,739,504,329,598,576,121,612,
431,969,343,484,918,417,251,477,845,933,981,199,221,857,574,007,602,926,567,
911,654,586,174,221,714,693,140,214,072,997,751,661,674,901,403,187,754,973,
531,343,308,270,133,975,915,600,332,375,438,381,587,868,919,896,775,287,874,
105,801,528,378,107,021,441,815,796,349,707,620,084,873,160,229,312,931,826,
072,164,161,017,542,411,640,142,817,517,457,013,904,271,933,345,934,573,918,
936,633,652,443,686,488,066,902,085,655,795,959,793,991,231,933,842,721,773,
465,772,287,482,556,836,272,651,936,443,392,694,211,452,634,153,696,687,324,
313,455,420,508,839,973,598,927,238,520,724,680,585,587,228,934,585,704,492,
536,227,693,784,629,527,190,005,702,105,217,905,607,412,951,228,740,131,212,
098,004,033,904,118,672,007,206,562,248,412,795,854,241,173,431,414,415,941,
068,962,838,389,749,115,824,497,158,119,832,513,766,601,707,400,213,936,318,
486,388,283,237,583,735,780,621,351,335,853,965,645,709,683,821,202,400,076,
480,035,979,890,575,045,902,943,235,610,065,246,465,727,549,539,460,254,312,
861,255,034,999,313,999,075,436,946,203,652,723,555,084,832,563,144,213,787,
876,292,415,638,731,734,938,078,284,325,453,251,202,682,036,490,039,791,527,
351,908,992,359,615,585,569,122,450,252,385,952,586,579,046,202,658,445,496,
636,351,300,169,768,581,032,055,896,313,462,586,197,555,299,079,728,096,197,
411,044,905,250,433,805,578,174,160,121,792,926,481,973,710,180,046,264,396,
930,601,914,036,517,007,335,158,925,648,121,706,877,976,409,152,265,211,123,
761,082,198,071,277,648,323,572,355,323,111,439,681,058,323,367,528,697,685,
826,436,551,807,317,191,175,906,737,409,110,495,631,073,928,047,532,184,684,
761,832,340,143,821,378,411,249,718,805,251,001,653,828,033,011,030,139,860,
695,381,303,839,740,987,730,082,785,578,079,791,159,070,908,212,330,095,755,
350,356,438,121,326,876,323,731,333,017,222,352,197,677,794,639,379,439,280,
881,391,777,515,763,618,334,824,141,666,742,217,301,118,544,468,631,317,439,
200,548,292,763,953,535,936,231,855,418,258,531,495,856,001,797,004,664,814,
145,050,083,247,718,544,980,316,362,747,568,977,401,414,814,549,890,134,185,
638,407,669,250,429,203,563,958,650,626,497,179,387,846,215,191,110,142,173,
713,672,929,521,089,093,350,921,037,114,586,936,368,513,517,290,982,816,348,
948,124,099,195,350,735,174,655,026,287,924,058,805,916,720,971,721,651,987,
814,925,377,565,945,692,643,566,148,932,453,712,962,907,352,126,091,925,255,
637,908,901,933,700,191,486,395,812,240,788,402,692,853,990,202,231,858,806,
008,437,829,858,227,944,365,513,383,405,023,362,868,247,355,508,193,321,352,
712,237,738,252,680,469,091,149,367,599,063,874,646,884,456,604,829,063,077,
752,189,409,672,292,591,368,840,444,067,000,044,274,253,979,717,653,205,475,
705,790,638,977,561,654,140,243,138,084,874,939,870,523,749,845,904,031,494,
050,267,070,604,281,872,079,011,680,073,876,359,960,192,383,005,643,932,658,
603,916,845,841,639,384,044,753,193,971,635,335,616,564,506,909,700,525,765,
667,882,473,551,536,021,131,467,430,107,440,258,015,231,256,183,967,225,297,
897,430,991,244,108,939,274,991,298,564,762,908,019,297,278,428,876,587,128,
842,893,255,074,334,435,177,187,287,520,091,654,830,314,116,958,564,502,139,
458,541,024,781,862,707,940,669,085,707,802,925,375,543,417,492,900,851,772,
898,967,704,483,081,294,943,976,284,328,471,232,845,402,106,157,091,623,486,
702,282,870,836,419,720,401,304,846,161,299,279,216,001,996,648,257,412,511,
868,631,770,348,879,487,842,087,738,810,031,108,344,949,393,948,727,333,517,
090,460,896,594,429,061,663,713,817,247,354,939,132,835,301,512,505,274,540,
083,972,425,203,188,534,137,221,652,157,161,759,046,941,006,524,398,480,309,
628,718,519,149,959,924,218,375,356,737,574,353,960,816,900,917,839,397,041,
360,247,456,836,763,000,605,878,420,736,974,298,154,018,688,883,561,780,092,
146,323,705,606,641,201,038,930,985,643,099,861,403,769,328,132,691,636,504,
463,791,391,596,576,759,158,842,754,190,557,686,839,237,035,273,730,442,714,
967,636,899,693,585,813,193,543,482,074,417,543,653,396,329,221,222,015,525,
854,689,733,545,116,481,294,941,344,983,080,567,041,690,496,278,307,413,178,
587,215,603,789,832,304,172,646,180,282,229,543,074,534,923,153,622,790,840,
342,718,443,692,094,291,293,868,194,803,476,717,422,673,105,158,999,837,541,
568,810,137,946,796,267,684,341,183,298,788,924,632,740,284,737,612,628,318,
060,729,121,731,832,807,184,493,087,002,450,490,262,048,049,087,608,787,317,
325,468,138,393,073,787,556,635,735,650,835,926,296,536,388,508,432,330,222,
479,069,078,754,596,343,257,464,838,711,053,354,639,036,426,387,620,574,340,
620,875,775,891,554,471,833,913,608,026,039,884,383,411,740,362,421,796,281,
148,155,761,170,820,140,174,567,157,292,092,993,417,470,247,039,313,363,677,
131,342,613,973,204,693,179,459,995,890,844,852,025,204,377,390,739,264,588,
217,757,680,147,327,236,083,213,326,581,022,865,487,294,928,099,171,266,289,
315,251,952,311,594,432,245,880,609,708,868,794,193,516,663,585,110,984,792,
670,872,704,362,132,725,203,312,440,052,145,330,157,847,649,806,072,559,931,
830,803,844,290,694,560,276,483,854,630,984,131,388,891,732,034,067,128,888,
200,165,907,611,457,954,047,606,357,931,811,403,508,851,053,431,620,570,691,
698,201,101,449,763,497,801,321,359,332,093,538,712,737,064,539,365,907,806,
877,319,568,812,584,552,706,328,135,825,550,614,424,834,611,660,622,922,604,
347,311,488,000,530,729,304,001,398,754,006,206,904,906,855,408,224,276,608,
797,930,768,344,969,914,058,790,100,978,120,598,334,544,266,095,967,925,639,
231,135,711,358,562,531,839,621,835,789,342,908,641,813,464,578,447,554,653,
120,627,235,276,220,454,590,549,516,032,141,769,607,117,060,433,799,890,270,
855,742,373,074,326,336,350,241,534,891,522,981,580,437,131,716,714,625,054,
150,246,419,331,500,465,587,168,692,285,071,543,596,591,821,745,016,404,099,
508,248,167,900,555,072,608,897,967,516,473,123,611,923,523,071,974,168,225,
282,959,136,506,100,509,317,838,524,302,783,033,321,111,965,364,986,402,518,
182,115,471,863,379,460,616,552,101,912,807,084,042,286,221,255,896,037,887,
585,941,101,859,026,034,547,299,010,543,288,621,077,910,754,914,750,558,574,
222,624,019,535,206,943,460,195,823,875,561,840,333,938,826,203,553,756,202,
552,193,389,812,555,239,876,506,395,895,917,677,688,852,179,357,597,909,131,
553,843,666,154,461,431,968,674,933,883,431,953,736,438,201,970,426,136,623,
774,972,515,810,398,636,800,731,728,738,012,364,268,560,362,872,085,474,201,
849,395,911,477,600,404,851,963,856,210,736,218,234,198,649,601,004,633,087,
492,852,821,019,137,256,683,469,392,365,998,476,525,727,937,194,732,757,633,
739,282,702,090,757,331,355,474,873,740,304,802,985,848,212,280,911,782,466,
439,313,321,375,751,718,471,928,196,723,639,391,215,989,242,874,202,774,700,
040,879,337,825,123,069,208,087,821,395,133,109,097,063,121,107,392,979,462,
607,462,677,795,837,996,170,635,432,892,292,342,747,908,951,449,516,427,626,
874,487,058,305,707,772,715,664,600,546,532,879,991,168,872,558,160,249,865,
347,492,478,929,724,642,219,228,984,708,863,476,506,691,027,724,190,551,524,
678,444,547,336,668,564,569,311,442,196,463,935,866,439,271,162,519,981,368,
540,745,248,299,166,804,321,434,573,958,003,842,710,393,996,752,748,932,465,
945,596,765,566,575,839,978,640,370,410,000,430,711,460,965,988,931,422,903,
053,019,051,440,916,936,663,860,766,525,053,094,361,004,315,051,667,983,268,
094,206,096,358,336,676,843,669,378,910,720,021,544,439,331,247,836,374,745,
505,163,243,355,454,700,588,686,847,986,769,988,358,454,376,970,652,374,575,
083,290,435,151,874,357,365,156,423,887,883,754,240,588,187,358,208,228,203,
756,149,422,533,407,890,612,965,151,352,138,107,996,990,777,910,155,257,575,
402,031,765,414,047,924,371,618,538,900,020,512,798,766,404,113,455,990,925,
574,333,332,249,752,050,033,751,923,058,019,597,684,075,326,307,137,797,237,
396,457,186,614,131,774,094,294,031,449,115,838,617,713,051,918,669,176,209,
552,276,828,432,743,794,816,454,713,364,545,563,260,133,682,048,536,188,345,
766,066,582,663,178,584,400,873,132,877,431,148,763,682,498,531,347,576,023,
239,464,045,785,470,722,433,769,417,025,792,373,205,054,910,193,555,199,897,
927,994,115,764,660,218,841,088,624,723,575,015,684,185,246,596,167,497,456,
522,094,598,056,722,037,113,035,749,549,024,538,338,393,362,732,221,980,451,
353,186,708,970,840,357,860,849,576,028,143,209,706,134,984,095,705,876,528,
496,023,596,214,356,275,007,216,643,192,853,257,593,211,066,254,492,269,219,
772,761,220,919,846,879,039,060,194,421,919,513,468,736,586,350,180,187,159,
168,635,950,185,111,044,514,275,259,806,830,640,772,381,941,890,231,436,669,
486,288,169,039,741,078,237,025,611,253,592,870,486,769,903,728,646,436,777,
899,745,709,761,611,674,246,328,204,991,021,206,381,838,139,150,311,595,589,
057,981,024,465,728,929,361,081,454,094,502,667,964,271,995,175,568,973,632,
697,128,599,217,774,486,714,967,967,129,205,750,977,234,896,957,447,024,031,
954,019,257,841,642,485,999,575,537,754,061,738,666,685,958,141,146,668,011,
921,495,462,121,943,719,758,593,813,194,872,445,992,623,565,554,489,413,314,
171,384,407,099,224,438,260,869,313,404,438,634,892,764,879,984,325,845,757,
471,183,128,850,691,229,992,095,036,682,378,022,629,303,544,758,806,461,480,
422,455,612,669,801,778,238,724,399,585,448,674,632,009,502,594,076,310,752,
963,762,893,903,784,828,139,926,443,679,636,557,766,680,001,292,712,934,218,
210,063,407,872,175,779,138,481,267,791,051,966,307,557,200,506,462,221,164,
352,138,646,738,259,207,941,496,604,676,001,128,512,156,766,912,334,870,345,
486,949,058,813,593,703,906,829,904,865,590,438,332,101,727,721,467,476,679,
381,016,552,367,176,921,065,031,064,010,116,310,784,742,242,934,595,131,005,
724,491,653,891,057,921,685,702,886,089,223,562,722,006,117,836,617,881,388,
795,667,801,443,346,678,797,250,064,752,357,955,948,837,668,621,823,534,939,
469,295,496,107,614,805,732,596,463,733,105,383,109,598,966,389,584,638,025,
195,354,412,597,430,671,283,369,625,772,075,626,181,317,686,698,321,740,095,
254,737,242,196,888,147,396,602,913,903,489,150,044,021,952,682,867,326,452,
867,786,946,873,999,791,187,142,147,000,087,497,770,947,189,401,467,745,856,
930,712,452,128,737,186,039,363,036,489,356,391,701,725,236,899,626,365,090,
725,971,631,854,829,776,837,155,662,875,798,282,246,871,395,853,465,908,886,
691,886,854,835,228,102,582,471,185,382,326,141,611,074,418,476,765,062,324,
443,815,431,884,964,374,731,736,405,875,658,732,590,391,960,911,644,013,436,
918,745,342,136,554,869,918,419,071,201,652,085,720,835,875,443,421,614,392,
060,970,882,613,212,987,289,437,188,672,695,323,258,284,695,982,246,755,909,
234,728,944,730,367,500,649,549,449,628,628,683,488,515,744,296,026,090,359,
833,662,824,429,996,678,760,105,988,512,733,425,984,069,163,282,093,751,559,
063,846,739,761,647,837,204,281,832,652,962,623,862,232,776,387,852,156,246,
013,812,314,769,019,796,574,053,207,237,088,383,320,233,637,460,932,044,736,
001,787,866,783,368,404,667,168,951,678,373,523,379,662,066,699,986,219,091,
225,361,951,682,604,454,498,029,942,424,306,368,852,761,409,200,335,176,537,
817,308,592,463,448,919,379,743,347,954,150,833,607,963,300,009,463,073,719,
232,068,570,314,063,379,987,731,229,335,728,051,102,166,324,530,946,847,742,
846,782,960,415,704,633,960,522,992,754,524,148,654,857,278,995,430,672,157,
353,004,086,395,328,468,887,307,537,053,914,565,600,508,416,447,414,728,785,
563,438,114,309,373,944,171,330,542,698,049,194,359,459,489,488,494,623,546,
014,517,519,806,843,551,278,601,141,189,753,816,193,222,842,475,562,448,603,
794,947,734,337,950,709,390,728,177,294,666,458,044,428,711,010,898,956,855,
853,620,568,881,456,987,669,843,954,895,314,636,383,987,119,925,396,082,832,
423,926,274,579,855,799,575,665,017,274,392,333,686,820,309,500,763,829,248,
328,617,447,427,295,476,355,406,554,307,369,430,751,401,415,767,346,917,052,
838,643,684,304,192,618,072,376,438,922,327,405,902,095,251,976,006,597,521,
937,016,611,088,671,989,587,533,380,799,801,776,485,537,660,120,343,007,899,
358,862,172,288,867,460,849,274,889,690,742,744,192,203,271,400,336,726,331,
629,003,788,273,948,400,165,574,628,739,129,570,786,518,518,028,789,316,412,
346,142,520,302,545,318,466,582,025,920,294,028,072,185,353,555,764,964,238,
418,921,984,631,970,944,757,369,447,047,701,615,087,927,660,799,421,384,858,
051,324,379,371,164,630,274,924,540,813,658,289,313,703,840,269,219,609,907,
287,963,854,233,291,668,221,352,515,004,530,957,465,020,690,617,320,932,601,
491,705,188,624,316,392,107,690,351,233,274,191,734,628,559,580,089,035,223,
606,240,470,775,271,201,138,980,154,821,209,412,204,427,624,041,481,506,320,
050,706,687,073,280,060,103,830,238,668,174,305,136,425,465,003,233,846,022,
520,005,350,685,472,102,286,604,104,246,198,687,182,468,372,777,538,550,300,
645,343,585,207,577,301,383,201,179,939,439,703,114,160,350,216,246,846,638,
834,778,957,081,356,620,266,734,492,267,950,739,041,763,344,178,954,172,756,
910,364,192,646,606,022,863,994,834,055,189,229,602,834,662,994,267,138,853,
141,576,712,908,322,984,854,281,585,927,955,570,213,825,034,235,629,594,650,
271,737,293,759,830,164,987,637,785,031,438,631,966,887,237,899,375,708,202,
005,641,618,354,927,474,369,500,460,344,083,621,418,900,426,985,810,723,618,
319,700,694,248,363,123,111,474,780,951,813,315,283,730,362,644,219,101,353,
959,230,830,433,887,088,100,757,465,753,284,780,450,379,294,773,408,190,953,
767,643,651,570,092,664,014,062,711,504,146,407,427,300,610,693,289,000,268,
216,110,748,656,922,681,821,811,045,037,403,580,867,997,519,742,919,884,277,
009,390,641,706,609,103,997,375,840,368,390,625,399,407,595,769,093,364,654,
511,958,397,850,540,434,933,147,801,688,588,765,896,372,252,069,170,179,541,
770,818,157,028,627,607,206,720,498,118,401,072,296,382,596,689,131,857,758,
475,303,336,599,308,981,798,033,087,323,463,169,062,130,398,968,321,487,334,
489,433,349,316,250,774,271,299,241,819,991,550,507,405,694,329,553,946,183,
758,964,771,799,639,396,597,670,348,860,769,677,547,172,890,656,843,062,032,
409,672,684,932,587,360,590,131,248,037,542,801,988,509,157,522,150,844,575,
525,765,559,608,057,266,993,071,751,936,634,922,604,464,302,211,211,136,564,
641,176,244,397,919,911,755,985,175,340,885,759,236,217,513,691,194,787,653,
158,283,772,512,892,171,694,002,798,803,925,990,419,400,840,641,621,243,365,
108,750,482,597,491,247,017,915,571,345,137,032,874,918,494,341,080,034,240,
025,970,823,814,416,939,962,272,382,649,092,341,126,496,544,593,809,300,666,
194,397,618,085,113,750,850,787,714,318,569,213,560,133,788,035,026,761,441,
144,321,566,694,184,892,669,453,941,131,740,777,332,796,774,559,124,327,519,
739,358,452,579,597,346,054,405,923,987,687,206,335,940,337,721,521,513,107,
149,380,456,136,212,531,490,911,284,305,853,573,438,950,569,312,123,293,915,
307,367,422,771,535,142,152,478,522,120,406,194,796,145,505,993,427,460,580,
748,238,316,277,868,990,336,629,460,373,461,310,946,435,591,654,563,014,720,
128,246,497,185,517,065,175,136,196,580,318,525,002,286,474,541,861,807,551,
436,783,904,035,300,130,781,193,519,402,657,101,164,057,327,431,540,916,147,
109,860,670,141,805,117,704,078,405,864,599,889,164,195,293,990,601,116,809,
896,978,214,979,898,572,577,685,128,286,132,016,503,961,288,170,944,109,624,
436,875,850,814,285,088,800,071,323,668,076,968,875,509,622,705,428,825,656,
773,751,872,781,135,984,965,808,595,103,161,908,963,353,070,610,514,436,400,
016,824,708,563,406,503,024,378,607,936,953,522,978,899,473,212,488,728,347,
109,826,119,857,278,969,311,225,601,648,424,043,657,638,151,491,203,082,838,
487,548,617,861,608,946,275,818,516,560,834,480,599,277,936,322,936,321,953,
824,440,175,128,681,363,934,137,084,472,718,145,687,506,054,350,065,992,695,
176,288,246,849,963,886,432,001,865,660,246,696,595,747,415,285,937,082,451,
410,872,006,739,768,374,645,587,275,539,931,881,572,036,654,454,251,528,413,
275,504,427,416,233,969,696,230,750,215,117,734,576,753,349,268,091,899,329,
227,240,232,357,256,230,438,986,324,949,500,119,462,391,013,036,776,916,000,
415,273,373,105,002,375,302,564,612,776,063,802,166,057,932,301,061,617,772,
866,596,646,319,557,931,651,087,540,877,620,523,815,126,964,832,677,035,894,
131,377,072,340,058,007,281,659,457,300,606,496,058,405,129,909,748,962,864,
086,525,848,962,937,318,524,622,917,211,964,539,516,371,862,432,048,301,967,
961,869,014,952,805,919,457,021,777,313,515,656,276,618,551,849,654,657,264,
167,362,742,832,768,225,660,944,579,080,948,211,961,382,927,638,461,396,721,
648,487,223,614,268,799,414,507,647,520,114,417,439,509,003,207,793,559,244,
144,506,036,180,093,847,596,243,661,058,722,490,557,230,670,902,177,359,045,
757,426,346,574,613,840,208,541,076,269,780,255,585,370,644,606,886,042,135,
802,626,106,400,746,850,974,925,176,253,583,956,403,256,541,286,490,474,492,
546,350,201,786,488,747,663,722,941,770,533,397,571,293,035,477,597,933,611,
404,543,781,213,188,681,458,650,110,543,143,329,484,095,705,593,130,969,378,
381,056,745,838,127,943,739,236,544,879,445,966,950,096,545,004,099,859,691,
791,266,028,278,000,910,912,220,529,909,451,439,564,416,842,416,937,320,567,
589,964,500,356,505,350,111,164,254,104,215,098,548,450,397,880,621,648,288,
215,058,428,452,860,954,203,910,895,125,240,185,347,137,873,254,360,567,528,
411,768,738,777,545,058,519,964,783,664,081,932,028,607,453,881,023,248,884,
334,521,021,782,562,727,696,982,189,704,734,333,790,807,902,185,967,413,047,
323,154,516,415,468,636,566,150,283,063,148,739,648,260,046,572,670,908,022,
776,826,730,168,195,593,481,444,737,300,801,462,271,175,080,051,204,059,649,
891,426,304,968,885,352,297,623,730,136,259,212,142,620,503,855,062,844,304,
031,092,106,495,045,860,396,484,509,084,156,006,162,450,884,084,675,879,731,
673,273,802,089,907,230,945,293,619,858,408,979,910,700,530,127,730,053,047,
371,336,341,637,518,776,778,737,653,089,982,099,596,500,464,327,391,796,021,
096,814,050,387,189,834,534,641,575,078,665,762,346,516,142,350,876,538,037,
257,571,728,931,812,365,364,356,538,659,003,382,519,257,994,841,682,740,974,
052,389,838,625,328,396,539,131,899,491,020,711,700,784,781,975,117,281,767,
992,393,950,182,017,184,685,844,675,756,247,488,580,898,612,130,650,136,669,
167,709,938,444,829,862,181,652,199,497,245,173,461,957,331,807,345,675,220,
814,004,015,799,879,187,029,794,073,000,951,259,393,323,234,561,732,888,497,
670,936,956,176,007,305,860,862,824,181,876,058,049,517,926,076,139,565,932,
040,955,981,670,923,802,091,844,785,346,337,009,639,074,328,257,866,167,051,
954,654,781,372,372,272,494,122,750,686,562,709,422,513,341,924,392,856,001,
098,497,277,777,074,956,790,503,262,053,586,502,798,040,185,507,962,426,217,
167,994,375,558,535,194,700,352,626,204,870,572,183,547,181,356,629,658,805,
855,422,336,527,524,092,628,573,825,707,536,061,253,248,391,732,711,352,951,
249,224,962,787,795,921,392,366,301,067,792,550,576,930,860,998,842,339,932,
140,309,232,871,226,610,554,276,492,969,651,752,936,007,682,689,641,758,558,
479,997,611,898,644,313,578,531,858,305,099,165,230,448,021,172,204,309,077,
280,759,108,909,750,427,273,728,761,292,653,312,805,833,285,343,096,715,762,
524,158,810,704,846,390,723,315,799,355,995,079,188,523,148,078,847,679,394,
430,639,669,899,849,183,569,900,254,392,620,346,117,315,993,484,271,306,622,
335,209,453,523,030,679,398,410,469,305,175,161,540,261,260,435,018,970,627,
965,681,024,819,618,386,944,850,839,601,000,742,991,051,962,050,313,416,132,
507,207,705,438,197,349,578,410,301,468,282,694,945,538,650,185,063,177,921,
209,646,591,181,328,569,929,065,918,923,664,602,836,743,611,372,626,255,713,
751,623,931,857,055,905,708,758,904,072,610,275,086,670,567,730,872,815,116,
016,990,548,287,554,786,295,915,720,325,829,715,040,357,749,142,780,206,593,
006,796,988,398,122,879,868,057,360,626,710,700,352,388,609,179,484,003,916,
975,001,239,308,299,318,049,776,714,937,406,967,370,168,192,357,203,010,159,
244,316,508,965,481,069,660,514,031,917,587,185,109,283,925,421,738,382,081,
609,954,761,073,867,370,799,813,589,288,873,028,875,670,222,514,453,248,447,
592,678,123,492,904,332,283,151,276,956,112,504,989,817,557,572,623,798,526,
065,006,544,020,095,124,957,768,015,812,570,939,584,466,943,606,762,216,512,
003,337,748,676,809,290,307,279,475,604,591,486,401,440,080,929,472,380,020,
389,711,864,748,118,985,553,204,989,743,052,820,538,368,422,317,196,635,934,
771,386,321,173,918,891,430,453,564,351,456,487,633,709,369,553,474,147,351,
265,389,414,152,510,341,681,448,471,730,968,387,429,461,468,094,015,281,084,
937,284,250,744,135,991,193,407,763,765,595,864,941,065,210,596,332,322,481,
360,740,144,223,386,524,251,294,579,232,035,178,986,348,883,368,285,085,547,
910,786,531,975,505,803,609,996,337,114,603,853,034,581,334,934,278,804,050,
272,319,712,246,374,113,548,910,589,552,935,270,386,856,375,816,137,789,326,
489,912,934,279,483,743,108,226,501,544,118,980,550,815,177,780,993,852,713,
005,596,799,032,162,040,365,833,538,496,525,372,237,864,500,715,326,946,055,
622,100,882,199,130,253,090,125,742,138,569,390,825,252,841,259,440,630,404,
065,543,347,891,604,880,461,146,865,787,404,599,915,006,502,615,036,762,688,
899,194,973,658,017,990,495,753,268,048,441,224,653,247,839,987,463,014,993,
082,200,508,352,859,279,254,430,080,359,691,332,830,407,020,641,176,308,563,
396,838,478,993,978,255,666,558,963,698,375,772,782,070,016,525,740,315,150,
454,137,884,080,466,934,729,522,287,841,934,071,322,434,656,212,183,688,008,
180,365,556,647,130,469,480,429,715,967,615,799,399,631,802,540,914,537,600,
294,566,167,114,621,649,508,225,474,518,872,234,836,875,655,873,920,861,428,
550,831,250,432,585,335,786,900,146,551,464,987,103,274,381,309,361,384,457,
508,863,611,525,840,086,425,106,754,811,264,093,592,835,708,818,752,405,834,
309,927,595,951,313,936,128,093,919,082,158,621,803,235,748,355,033,269,313,
341,408,965,074,486,910,782,744,911,798,647,749,123,829,717,965,484,019,064,
138,714,545,352,023,041,942,560,289,147,428,177,193,538,163,159,367,765,787,
267,898,119,285,384,154,052,477,307,836,213,951,358,934,163,250,978,041,634,
067,802,369,354,677,245,616,223,427,139,903,165,843,048,147,439,315,675,667,
600,866,788,101,808,389,805,847,995,267,879,177,205,102,805,157,193,330,490,
511,472,616,563,133,076,708,556,304,724,867,616,273,790,575,217,103,993,679,
450,182,398,669,752,036,487,653,433,530,394,323,610,408,927,165,002,945,265,
630,617,189,097,819,635,716,568,232,997,965,236,892,987,460,613,329,053,807,
664,187,839,042,651,772,129,809,084,007,788,326,625,875,307,525,227,678,238,
434,486,090,496,026,497,799,489,053,832,782,081,354,708,009,939,039,622,845,
332,596,209,965,878,819,967,258,823,728,317,787,079,085,657,569,962,574,274,
015,589,128,441,002,385,447,953,991,348,286,190,206,619,503,745,016,680,400,
807,860,886,917,775,622,468,641,932,582,822,832,462,173,532,066,415,475,702,
020,933,423,650,636,409,904,758,195,204,588,614,225,739,411,297,292,924,028,
506,543,070,266,051,102,386,184,224,780,431,652,570,119,364,955,855,597,933,
598,801,920,682,519,136,207,437,649,198,824,782,378,255,810,204,114,892,348,
329,726,987,817,690,104,838,167,861,180,666,326,029,738,517,688,740,446,866,
607,482,756,560,986,962,161,947,817,999,265,454,631,950,904,535,987,047,711,
578,265,942,111,063,759,814,171,005,236,218,839,378,372,295,693,926,636,364,
418,443,618,458,155,431,510,038,958,601,348,063,136,945,537,050,918,789,484,
737,716,859,733,606,138,169,441,891,145,438,514,855,744,260,381,781,454,974,
104,858,624,545,063,392,685,529,543,511,381,345,638,597,883,393,327,680,185,
737,173,098,105,032,822,460,702,445,493,646,463,375,824,463,246,544,389,235,
492,382,439,755,793,586,991,233,518,377,079,393,623,847,607,441,367,795,113,
658,613,935,539,040,092,511,204,651,704,978,801,851,785,418,445,171,315,369,
887,288,642,448,190,887,084,211,747,923,846,886,339,633,866,850,807,039,847,
170,985,104,839,962,435,672,031,430,318,614,240,648,966,778,491,344,187,769,
790,190,091,500,834,393,043,231,195,778,079,371,646,575,370,690,202,961,387,
868,558,358,106,740,842,571,105,481,522,828,692,006,279,782,836,444,477,157,
539,454,052,844,938,678,191,751,182,468,525,114,584,081,941,635,295,818,094,
344,824,847,217,378,587,315,029,493,012,323,573,523,427,414,383,250,073,430,
184,400,408,801,272,346,628,412,308,062,067,137,485,999,597,870,672,998,227,
076,585,266,104,107,505,079,805,579,052,533,691,801,916,711,953,787,099,322,
284,231,989,286,813,872,020,771,574,620,990,723,937,016,761,591,839,036,483,
160,726,385,693,840,649,845,002,924,417,454,256,908,353,167,496,906,368,219,
728,408,967,254,143,029,678,512,631,156,062,523,704,814,411,117,523,759,905,
149,040,183,010,174,270,990,305,894,871,175,643,951,474,294,570,118,800,652,
465,315,556,626,379,453,267,598,694,920,606,645,965,945,231,094,997,108,951,
541,604,364,228,776,093,126,081,046,431,314,365,839,168,977,254,107,757,280,
915,764,603,357,293,238,464,654,313,297,769,949,685,812,566,454,527,721,016,
373,679,022,103,214,886,003,098,976,611,770,613,730,895,079,102,518,688,348,
267,679,336,801,998,406,352,275,117,591,045,398,301,650,552,571,871,784,764,
599,348,433,786,916,406,430,449,746,476,805,866,211,565,835,341,045,248,488,
694,381,737,844,663,590,566,945,178,168,838,270,645,338,831,469,166,809,022,
229,778,123,727,105,235,255,973,109,112,152,649,838,751,501,013,741,752,523,
555,685,186,848,207,732,062,642,136,426,197,373,672,531,441,478,013,974,195,
751,995,285,094,379,787,805,181,712,075,581,990,915,208,756,779,160,990,742,
892,440,200,803,391,379,911,259,391,655,924,737,176,418,325,107,079,440,302,
873,292,735,498,281,588,551,342,643,550,428,853,909,741,705,685,323,944,286,
970,168,486,924,373,469,962,096,879,753,211,564,709,832,345,226,602,906,691,
243,140,757,902,998,003,160,945,824,110,979,178,852,800,384,562,309,621,748,
635,057,619,475,403,077,355,966,138,256,607,065,053,496,624,649,303,815,997,
059,146,057,261,034,600,692,691,980,760,770,611,552,487,206,180,193,397,897,
705,366,141,486,338,039,985,181,011,545,346,489,970,574,489,777,862,467,348,
470,690,063,068,982,534,550,418,245,251,455,540,179,826,737,449,128,595,036,
537,183,726,531,651,630,729,093,577,874,037,460,135,350,641,657,418,482,513,
716,257,350,717,216,575,387,264,625,314,477,969,356,020,906,186,360,860,703,
666,151,286,415,803,899,503,295,852,145,749,983,128,603,680,200,398,571,647,
632,844,494,715,037,586,881,436,987,171,052,091,225,409,077,239,860,916,472,
796,073,212,389,872,678,341,387,214,030,450,405,067,313,210,858,909,378,329,
829,993,358,804,840,150,398,330,665,289,786,648,309,872,615,763,547,762,466,
612,185,790,719,164,503,045,476,836,636,552,895,995,050,590,272,874,841,403,
137,758,527,479,717,447,991,502,071,998,882,472,541,133,030,346,855,649,840,
826,710,471,347,660,038,924,264,413,191,507,814,266,469,998,013,560,541,301,
980,025,334,480,230,719,893,610,452,992,984,395,125,479,406,579,319,223,107,
336,104,334,880,421,647,577,007,844,025,290,262,795,007,057,404,232,007,990,
129,683,307,946,852,497,683,125,701,454,442,167,894,308,988,842,500,825,459,
141,587,534,816,455,324,316,995,857,936,562,339,380,785,138,237,790,251,961,
461,809,577,643,430,086,540,825,267,304,430,653,564,107,404,969,697,186,381,
617,497,227,875,028,194,252,899,531,513,393,959,115,697,636,786,342,451,113,
754,947,322,752,350,057,617,397,030,027,164,961,919,098,225,217,653,107,594,
771,194,499,357,490,384,593,440,231,575,395,154,869,245,417,146,509,606,408,
961,612,421,378,773,098,352,582,648,591,917,738,994,830,577,932,605,952,338,
784,332,333,491,831,525,218,981,223,001,715,463,163,230,744,917,950,412,531,
124,606,181,460,346,732,989,994,522,489,468,369,160,206,313,228,949,964,354,
138,503,121,437,132,255,278,805,254,892,773,019,244,388,617,589,935,554,686,
040,273,087,298,530,586,220,940,715,669,347,580,092,092,859,035,946,693,946,
108,467,099,440,471,916,197,981,528,720,155,208,990,128,094,954,525,067,901,
209,867,676,473,509,251,611,939,856,746,436,927,213,858,119,819,207,934,544,
755,341,061,599,976,579,689,243,508,417,286,936,646,677,908,350,102,617,005,
597,356,158,044,078,073,561,027,393,817,618,043,218,594,897,615,614,236,520,
655,760,050,584,867,960,151,776,224,634,865,690,134,479,537,592,574,652,686,
163,571,137,573,110,153,883,343,140,946,634,847,667,144,907,500,261,393,071,
928,435,176,691,655,474,843,979,814,029,439,448,215,266,287,414,866,043,055,
120,984,327,348,057,383,062,844,450,824,938,825,846,133,081,166,693,898,007,
011,595,504,027,620,117,644,375,270,477,269,044,095,933,450,415,647,188,517,
230,747,692,723,452,430,294,219,584,944,194,249,782,953,054,161,507,376,578,
035,028,203,228,585,979,413,395,833,294,414,744,589,558,086,240,413,349,385,
657,476,099,581,107,198,277,666,965,064,099,472,772,080,299,918,805,562,827,
588,566,229,586,856,955,747,513,842,128,009,957,570,357,827,640,537,612,567,
024,440,655,574,144,382,630,821,429,909,995,682,329,322,658,930,800,848,008,
108,416,594,039,810,027,485,693,243,553,350,031,833,708,602,580,673,061,895,
295,319,227,839,554,310,613,523,234,263,906,238,060,526,348,461,248,946,826,
840,043,640,759,447,656,291,368,900,238,589,802,453,525,469,346,557,776,172,
870,308,750,156,876,270,498,920,410,918,125,469,843,101,639,958,806,668,213,
811,400,860,677,805,550,519,078,334,911,761,435,795,114,557,170,684,943,822,
977,752,638,045,967,388,480,003,116,346,483,441,396,063,803,561,203,211,538,
290,921,926,287,742,810,305,397,374,622,526,267,117,319,288,142,885,992,876,
166,241,741,760,570,980,227,323,457,874,085,101,849,218,670,254,684,818,885,
716,166,564,016,623,478,370,355,168,329,109,352,447,561,182,664,889,625,566,
016,728,020,944,022,236,419,812,862,779,050,120,480,695,016,196,814,116,969,
604,184,242,057,754,860,512,153,817,953,890,990,105,418,680,290,049,423,156,
971,074,970,438,622,503,411,477,761,796,319,120,383,016,984,437,031,399,249,
962,583,431,411,479,525,031,047,580,323,726,362,246,300,833,713,523,849,703,
305,954,900,399,604,026,818,486,058,070,225,065,721,548,153,759,170,547,830,
556,796,033,702,603,430,779,462,512,555,540,908,381,794,895,231,122,096,251,
143,399,795,050,631,033,418,136,790,076,802,206,425,295,443,520,639,595,505,
294,483,329,754,145,518,812,481,756,998,468,729,353,293,162,370,940,306,288,
560,415,878,623,155,920,386,401,540,414,453,376,082,732,239,976,847,746,863,
078,971,867,209,794,480,102,604,111,210,588,998,548,941,223,384,364,337,109,
676,690,054,451,447,179,979,558,371,476,803,701,919,129,562,296,658,645,004,
363,566,439,966,243,021,340,381,690,175,775,119,983,522,476,597,861,732,647,
318,083,077,770,026,690,771,898,399,823,906,750,167,983,577,650,263,527,062,
164,360,881,051,372,675,541,412,915,498,510,213,533,199,862,824,041,038,408,
122,699,266,658,388,008,418,327,304,895,507,123,764,872,618,701,371,395,437,
128,700,170,796,130,616,487,564,186,176,592,946,921,828,553,440,601,723,787,
585,098,210,860,032,385,460,577,672,078,202,479,296,043,201,759,978,810,088,
222,358,255,227,943,647,021,972,851,966,314,020,812,036,006,540,269,982,749,
342,560,587,438,790,792,148,799,636,316,970,867,025,923,922,282,480,598,405,
150,788,517,986,424,540,484,219,500,365,267,945,989,596,733,826,057,094,976,
438,817,798,807,680,067,154,475,522,211,215,420,756,447,492,300,930,551,021,
618,909,644,119,350,914,812,482,552,943,653,448,686,822,209,276,706,869,281,
443,130,068,428,462,014,565,366,597,435,160,763,201,418,515,801,918,493,180,
002,078,563,775,548,801,391,802,861,488,013,575,886,090,590,777,483,889,759,
764,713,328,576,551,196,788,417,597,123,693,880,868,162,955,688,526,880,079,
554,118,351,271,161,748,860,157,557,175,171,415,379,456,276,972,160,684,110,
101,920,803,102,214,155,488,119,709,650,100,118,585,377,506,849,868,752,597,
778,673,454,254,091,023,946,672,710,518,083,305,923,832,799,887,972,012,311,
725,579,673,341,285,981,858,365,917,863,759,993,233,590,260,555,458,397,541,
449,048,515,238,395,168,473,081,936,911,134,284,694,692,487,739,436,029,436,
363,560,638,272,306,357,821,244,012,291,308,562,297,622,419,365,478,454,507,
582,582,341,854,782,163,644,009,482,437,148,884,068,958,713,801,043,659,935,
035,200,004,951,955,968,369,982,352,487,074,842,079,842,997,491,161,821,113,
811,241,993,979,424,094,679,089,458,621,494,629,808,272,810,820,162,550,555,
985,875,818,163,133,793,773,523,929,055,500,900,830,124,559,463,629,205,756,
558,391,147,229,661,797,851,703,207,392,526,534,038,099,007,438,467,685,502,
786,206,781,752,691,838,343,698,796,643,296,806,592,953,364,477,807,962,489,
152,490,595,986,389,729,408,432,602,809,758,336,395,784,220,782,446,091,712,
923,410,371,282,241,542,794,366,078,439,509,038,341,598,176,476,550,014,976,
693,051,137,185,615,063,636,468,967,267,887,462,797,239,150,772,251,996,080,
984,203,793,120,187,021,670,011,037,824,470,658,904,100,163,466,148,814,737,
166,806,153,008,940,798,871,918,225,796,534,805,932,379,531,777,933,182,924,
614,753,298,191,410,753,724,141,906,696,558,609,540,402,065,671,790,168,533,
737,537,851,229,016,837,699,764,245,000,028,427,033,355,870,702,666,432,596,
343,492,486,874,472,332,196,435,961,434,716,172,221,963,506,776,610,193,912,
825,634,897,386,792,976,061,357,134,511,045,552,806,951,139,510,951,091,032,
021,011,598,871,187,363,636,731,581,404,473,855,793,156,824,179,756,378,782,
923,725,277,971,920,391,744,736,815,752,208,697,412,916,017,004,539,137,762,
811,438,890,959,999,685,438,231,343,945,248,902,441,240,672,343,836,143,020,
175,645,114,998,510,815,326,538,653,607,455,270,115,028,100,819,993,812,197,
653,261,715,943,700,854,135,792,987,622,300,515,249,411,150,813,198,506,734,
046,974,073,545,515,370,238,175,440,205,938,883,188,471,284,207,015,886,999,
812,429,695,506,458,895,675,878,050,128,319,821,971,216,964,406,584,683,366,
883,339,212,912,963,775,581,543,527,728,921,205,921,104,359,722,148,698,220,
360,895,138,635,530,332,518,377,221,811,137,491,520,068,991,477,645,695,573,
270,642,296,054,271,931,713,600,029,207,966,187,858,005,242,119,536,487,446,
869,604,593,918,954,420,506,619,852,642,601,787,465,299,307,564,346,538,247,
102,849,434,856,228,171,568,745,745,754,424,067,419,771,312,709,317,701,369,
944,149,107,239,497,095,671,240,383,707,898,440,029,206,200,970,689,005,284,
324,759,850,434,117,613,302,492,872,402,268,357,012,564,928,955,896,701,243,
702,339,097,536,782,447,812,504,505,879,921,247,714,691,555,636,840,502,187,
946,037,027,988,901,535,307,118,576,251,906,723,264,651,953,711,745,788,863,
800,688,915,647,056,393,051,285,443,389,276,936,367,998,613,900,983,615,421,
174,922,516,827,129,930,755,037,949,492,661,192,937,094,516,441,232,685,485,
930,759,019,278,827,672,054,939,385,772,799,530,156,981,153,615,527,165,849,
738,845,766,952,050,466,419,681,952,578,866,698,829,644,164,864,193,581,939,
115,832,130,037,453,278,318,581,110,298,494,082,183,075,592,506,776,603,316,
634,247,420,035,996,274,816,528,976,479,321,711,098,617,135,660,529,339,729,
728,874,950,111,139,982,074,220,967,185,579,264,401,605,278,802,736,258,494,
366,257,603,076,249,261,926,683,305,024,026,325,259,079,875,913,631,921,660,
728,195,169,874,607,323,073,760,790,541,507,806,446,852,279,957,487,232,930,
737,522,647,617,786,445,664,045,985,524,615,583,161,953,898,177,512,544,613,
589,337,360,088,350,459,564,277,632,320,807,391,533,063,963,801,477,829,417,
650,104,328,188,295,377,410,080,051,191,525,485,262,142,039,350,207,749,925,
634,381,024,291,960,454,335,916,094,918,995,765,720,553,185,696,688,211,133,
409,773,701,015,805,053,508,058,828,731,341,283,936,862,012,228,906,404,527,
960,410,511,625,331,155,300,417,304,940,059,434,176,217,576,178,603,813,038,
419,863,687,607,004,886,062,668,945,797,791,811,726,843,140,875,978,288,708,
125,957,553,184,863,189,862,581,995,022,809,579,824,121,930,135,322,453,531,
258,479,410,397,994,685,240,594,324,342,216,637,834,252,651,137,805,304,779,
316,998,911,602,363,767,718,547,236,678,402,475,804,197,274,446,593,656,640,
058,421,278,962,602,344,013,389,916,735,596,082,553,682,545,503,870,742,285,
390,255,505,393,018,609,142,225,215,615,764,269,131,989,146,687,393,612,936,
716,844,592,064,890,380,118,034,043,155,114,994,940,023,428,643,531,457,699,
112,649,229,369,170,467,139,745,249,412,249,731,937,718,659,406,839,022,844,
923,220,653,502,787,740,850,039,124,061,027,182,728,646,889,937,079,976,786,
746,180,494,721,984,477,429,459,158,222,702,088,396,268,554,844,550,976,021,
813,000,861,328,905,008,650,576,172,738,588,672,447,379,653,316,016,925,690,
734,277,980,899,512,922,397,656,403,808,646,676,935,579,397,685,442,213,755,
550,317,500,915,367,239,738,039,754,139,842,783,827,236,434,173,937,991,873,
663,832,572,522,974,831,459,326,962,469,275,542,878,392,676,107,195,018,761,
582,834,136,591,356,034,547,801,229,558,269,335,543,237,653,781,187,354,831,
557,455,440,243,717,620,892,617,890,325,490,246,073,655,837,450,445,642,786,
103,903,871,834,647,583,034,829,273,497,389,609,704,599,763,107,748,212,539,
513,042,427,421,161,067,777,721,819,999,475,161,686,992,733,408,002,857,404,
473,646,431,483,776,377,325,281,337,589,297,729,860,633,084,685,640,610,067,
936,223,970,848,317,506,930,134,780,394,275,937,033,846,238,226,491,474,412,
352,181,497,435,162,729,951,145,805,944,143,852,850,158,009,415,524,699,487,
089,783,013,868,384,019,499,502,010,440,566,114,382,903,279,481,222,963,040,
371,728,499,239,258,449,977,732,678,449,526,479,305,958,438,838,377,984,536,
684,455,753,852,041,019,840,398,938,851,084,389,686,015,345,220,598,211,872,
761,733,458,928,988,884,815,410,077,942,873,726,290,569,575,341,910,309,993,
771,698,471,099,680,211,330,058,858,117,328,137,640,902,330,532,137,449,902,
678,118,143,030,368,499,094,267,196,355,940,921,766,991,179,334,189,686,144,
298,605,588,451,719,523,342,876,164,459,209,773,097,489,379,273,123,236,070,
430,064,829,154,781,163,618,209,072,451,223,533,139,501,711,935,156,564,123,
177,268,602,012,213,993,445,633,303,581,685,954,051,081,194,719,814,880,666,
482,013,028,571,021,914,358,571,315,918,911,399,726,428,718,445,426,309,085,
436,071,455,071,453,199,144,189,459,474,799,766,868,209,730,919,500,807,319,
897,530,901,068,893,702,436,386,618,351,464,594,928,304,385,810,089,314,552,
900,548,971,956,664,674,308,602,547,894,228,175,400,038,790,814,452,752,563,
751,568,557,299,335,819,716,860,634,309,554,069,384,662,239,336,770,244,325,
059,804,873,672,294,797,027,844,505,652,929,675,216,751,689,118,734,351,080,
392,138,384,778,028,495,730,536,606,910,767,530,178,117,659,266,930,805,804,
397,042,454,465,232,377,435,197,105,891,640,998,924,036,708,525,285,844,306,
824,368,706,335,644,800,948,041,788,364,735,661,572,963,184,771,575,978,598,
700,044,400,245,417,293,566,646,774,965,171,733,415,213,820,971,839,650,961,
585,787,299,137,437,563,563,504,059,577,637,971,851,720,617,585,145,795,575,
326,253,566,358,134,662,801,592,094,153,506,599,354,779,437,272,761,240,390,
441,741,245,457,329,840,169,166,034,890,890,350,492,115,181,310,679,818,631,
313,828,320,115,825,964,507,221,914,432,768,734,940,076,010,212,807,741,253,
744,940,137,280,816,774,294,332,813,080,598,559,554,618,641,609,391,411,801,
701,437,801,610,817,250,877,334,347,956,568,863,267,390,267,481,135,946,270,
305,940,530,270,756,504,473,900,736,864,712,510,951,801,432,637,514,069,743,
581,792,259,478,152,830,379,666,576,317,206,469,844,779,706,353,797,338,333,
416,040,801,140,156,472,674,748,608,019,518,234,577,060,231,405,110,266,651,
261,808,511,678,533,572,612,568,656,776,093,764,525,029,553,004,030,409,238,
049,210,057,378,444,078,958,643,157,102,624,063,052,859,294,829,130,722,413,
234,287,474,902,704,143,361,040,516,231,423,396,963,000,367,230,142,621,061,
176,618,930,647,638,396,586,702,455,808,646,343,872,232,133,709,722,780,794,
824,438,652,530,972,156,713,566,998,799,039,178,260,404,024,996,536,399,562,
666,219,784,151,211,084,398,199,718,928,501,915,311,460,395,324,556,062,428,
680,340,534,828,853,855,902,112,813,651,169,727,514,173,805,313,881,275,898,
175,588,726,422,408,902,989,021,525,191,759,520,890,434,489,894,611,653,145,
603,765,198,709,214,416,731,654,669,647,603,054,162,675,354,147,117,316,452,
828,560,110,112,263,984,840,565,591,905,337,653,073,121,879,289,906,335,966,
926,130,958,951,589,488,020,979,929,278,088,490,813,232,883,064,020,646,656,
787,005,315,239,215,761,645,359,659,432,306,425,493,060,424,404,230,825,936,
973,142,752,754,337,853,462,038,065,134,653,152,340,241,274,186,442,170,774,
595,527,034,080,601,462,972,659,727,867,249,827,376,053,765,718,213,428,311,
369,714,394,237,262,875,371,226,864,321,796,018,410,376,048,036,472,021,520,
751,765,265,130,493,631,263,947,415,480,262,235,196,951,773,070,425,802,842,
094,989,540,587,331,124,218,323,484,232,279,831,670,813,850,652,875,502,654,
942,057,195,035,539,306,001,604,644,535,616,736,889,821,730,762,882,831,812,
655,630,113,565,966,826,437,114,551,167,648,281,083,439,446,491,415,772,630,
432,332,444,894,243,432,560,754,186,342,918,770,708,805,362,711,331,633,747,
728,704,935,969,948,909,127,049,068,841,669,845,396,360,487,595,035,296,776,
966,741,374,383,234,330,731,876,368,768,501,973,963,307,017,037,519,008,626,
567,469,947,252,484,155,960,802,757,372,968,771,195,271,897,607,953,330,050,
172,233,645,217,822,865,528,565,479,059,604,209,667,207,723,889,286,863,957,
672,527,931,141,098,492,490,915,502,056,622,170,775,859,469,979,761,649,215,
185,098,835,133,294,228,647,384,095,262,605,821,511,050,603,561,890,417,455,
906,057,953,514,358,110,859,890,510,217,135,086,857,727,407,571,525,459,388,
171,636,110,414,703,975,979,429,702,372,927,483,985,379,314,766,922,714,159,
577,812,009,145,495,385,765,762,840,728,018,748,301,238,406,804,685,019,070,
063,845,916,530,593,290,881,097,216,276,287,788,603,328,988,205,618,404,081,
961,638,486,285,402,532,643,212,451,780,814,541,500,611,415,324,445,655,946,
465,812,741,330,820,159,575,769,375,749,529,727,618,123,301,532,132,115,535,
975,158,157,826,444,034,881,936,039,346,031,198,854,195,614,599,690,123,894,
866,036,205,728,569,467,225,120,210,777,235,103,380,191,469,907,461,190,026,
371,906,565,905,606,249,340,028,607,128,987,594,750,641,665,724,040,894,707,
392,644,357,270,575,395,361,044,196,367,077,230,849,541,827,150,316,642,348,
976,072,168,281,512,294,622,743,414,613,559,271,687,611,123,753,495,169,112,
362,425,912,529,579,653,441,005,733,137,197,973,193,521,104,408,900,828,707,
114,751,004,782,428,905,145,006,501,725,871,732,089,983,340,625,329,672,452,
285,596,779,285,587,038,239,556,056,027,568,492,715,209,184,702,350,428,470,
451,154,017,078,247,128,910,816,742,764,646,160,010,537,222,151,512,634,646,
911,708,550,802,421,157,017,090,686,651,856,246,748,791,354,794,409,451,904,
273,945,036,598,453,401,325,403,192,570,663,707,990,225,651,119,092,039,150,
741,660,518,387,311,850,183,172,278,436,544,865,717,508,705,452,588,928,534,
186,144,374,953,238,701,511,280,160,680,610,958,746,044,079,654,344,176,049,
453,474,791,370,869,390,802,809,959,466,203,946,577,483,265,215,150,697,849,
466,047,038,926,150,362,778,969,736,587,196,367,523,866,170,296,336,631,468,
791,519,210,155,728,358,565,070,169,887,404,314,471,427,546,456,574,356,912,
984,318,088,535,234,586,132,439,753,522,412,223,710,778,921,208,825,651,416,
758,264,770,337,154,875,348,680,207,935,814,625,637,188,145,189,058,918,201,
224,958,883,311,290,481,910,226,241,482,069,627,007,962,103,109,718,565,618,
005,337,495,624,127,572,913,589,185,952,097,363,344,698,549,338,710,730,096,
095,801,077,412,022,550,233,172,115,421,659,491,335,945,266,806,101,630,983,
824,927,806,733,952,745,273,691,534,621,154,677,017,229,338,174,227,182,967,
996,464,020,994,488,641,571,905,106,699,662,519,414,252,209,590,196,262,279,
844,539,558,814,579,023,234,484,504,910,373,932,448,236,346,612,807,829,744,
318,491,131,883,676,162,608,265,831,080,079,210,985,505,285,061,863,659,304,
161,311,180,490,932,772,068,922,809,777,823,190,016,953,446,775,134,494,216,
632,277,970,994,744,852,601,793,021,868,469,602,377,324,202,254,470,204,307,
307,408,755,789,028,187,466,761,009,813,401,999,068,848,499,789,432,088,307,
169,795,748,052,720,554,324,885,491,179,317,985,977,353,192,231,484,448,532,
294,258,349,902,656,237,153,506,102,128,741,073,585,130,114,560,483,333,018,
177,302,071,572,391,492,447,585,918,066,687,943,254,069,144,747,001,888,368,
407,964,690,459,498,855,251,429,166,488,535,032,961,946,243,810,302,080,478,
987,441,098,761,556,203,455,022,146,042,223,011,448,427,016,714,193,741,587,
159,517,902,275,159,145,068,709,408,680,224,339,796,530,899,792,643,460,030,
673,823,651,579,146,112,845,455,625,656,711,258,680,955,561,736,606,799,100,
881,762,726,707,485,596,732,648,618,443,585,651,819,155,623,723,625,643,616,
678,752,689,718,671,346,761,595,932,776,450,614,319,211,803,274,139,097,383,
371,957,023,909,303,905,249,473,242,028,246,974,729,372,746,170,409,115,110,
465,948,584,860,850,994,108,102,105,044,127,537,797,856,966,894,890,719,298,
487,339,137,919,333,173,006,167,488,776,952,136,726,387,564,106,845,331,419,
465,901,759,916,198,599,027,969,657,771,941,240,953,566,223,988,158,282,519,
016,527,012,167,000,890,635,245,413,450,666,449,639,542,814,762,489,605,737,
897,084,614,851,712,782,997,578,378,055,138,906,822,740,313,876,801,412,667,
370,766,467,170,348,265,243,230,456,207,299,815,086,112,114,983,139,838,975,
582,740,819,606,399,810,259,558,594,321,128,175,410,082,082,627,447,964,964,
792,239,398,136,143,274,803,700,040,993,655,472,504,601,648,037,186,145,679,
355,947,617,483,704,932,476,237,009,660,648,182,692,083,377,686,069,610,333,
096,773,161,030,167,816,449,682,285,581,913,722,382,962,894,256,291,362,327,
267,662,629,357,540,000,535,693,597,827,087,884,033,662,114,222,981,075,171,
752,305,359,659,864,294,437,935,235,795,040,913,318,968,690,881,823,946,376,
278,814,758,774,047,519,594,701,747,593,161,983,710,567,359,134,145,976,848,
456,197,870,606,843,758,404,805,890,772,851,614,312,027,794,481,546,200,121,
492,162,480,488,307,939,237,231,567,016,821,053,630,646,427,666,691,009,026,
481,359,431,463,541,983,892,119,826,707,360,313,924,742,689,863,807,682,193,
296,878,842,262,983,063,119,740,750,789,251,047,804,547,213,340,254,010,891,
869,144,075,387,523,177,979,897,726,491,285,312,254,867,150,150,516,214,943,
968,211,280,610,831,109,178,274,098,687,663,243,966,498,889,762,902,374,795,
970,539,050,267,146,228,425,153,683,777,968,776,450,658,482,605,473,531,116,
203,095,514,365,061,973,598,955,978,566,754,355,775,856,043,195,308,213,093,
663,141,153,932,783,532,522,329,438,776,176,344,995,722,149,630,003,469,812,
580,939,604,321,925,419,692,506,675,711,557,400,100,563,736,625,978,159,066,
127,318,420,063,295,642,280,314,465,630,893,138,504,651,086,686,862,173,070,
949,394,717,603,334,898,290,081,543,227,810,687,547,272,789,680,433,406,943,
915,532,079,301,109,160,232,179,717,989,256,476,988,626,807,842,432,169,958,
697,072,265,710,498,699,222,185,082,456,194,418,767,100,273,893,933,296,902,
675,048,518,005,571,997,773,172,560,950,116,576,972,378,516,393,042,138,429,
349,615,073,191,859,636,199,137,512,563,293,181,373,299,822,674,197,635,306,
412,529,391,914,941,349,108,293,696,095,557,750,645,239,274,650,741,755,100,
509,994,834,656,964,005,817,791,118,229,400,718,906,848,829,072,468,067,499,
019,392,212,303,794,213,537,509,039,997,471,515,415,757,261,501,518,436,794,
500,187,343,166,593,474,513,803,052,978,090,706,739,558,458,857,340,679,134,
138,284,567,513,841,549,744,569,955,570,048,848,630,607,247,656,860,165,598,
523,681,036,023,563,648,088,820,574,173,196,956,548,757,287,488,059,904,071,
829,022,892,952,089,630,954,463,442,183,891,119,337,859,237,934,843,502,009,
586,484,342,742,033,397,452,906,901,466,362,959,415,924,179,365,478,213,327,
787,879,080,363,604,480,515,853,815,108,683,115,065,298,620,400,943,898,881,
335,695,706,403,511,447,554,985,491,616,192,436,156,445,369,290,024,594,203,
909,841,665,615,967,461,652,181,780,583,006,826,504,178,914,197,256,630,732,
738,607,638,405,561,765,343,166,448,379,128,299,194,515,238,405,212,538,140,
743,623,999,830,842,984,536,292,049,202,355,935,858,205,147,268,375,168,387,
369,006,676,161,983,994,334,142,280,766,746,642,791,175,545,362,804,775,004,
955,589,594,434,054,914,546,111,497,224,407,144,600,118,936,549,987,671,304,
196,881,373,884,860,333,399,062,256,108,542,955,908,657,051,355,618,245,486,
356,617,541,852,310,803,142,619,184,327,003,390,260,973,846,776,273,942,088,
719,740,452,076,660,606,271,751,415,993,290,477,691,811,344,007,673,181,721,
991,150,277,445,713,928,189,328,123,091,104,462,321,032,097,932,485,450,048,
281,723,911,147,936,935,106,684,842,637,955,391,202,145,267,901,425,085,846,
008,562,571,978,831,572,378,070,094,355,739,768,682,257,360,634,459,693,792,
262,011,792,637,591,368,542,935,776,375,200,036,977,522,120,408,465,747,826,
460,008,922,911,065,424,562,567,687,649,567,204,228,808,699,530,895,780,985,
710,048,041,178,185,004,682,116,962,941,653,420,839,907,468,613,991,166,516,
519,021,584,490,380,321,388,743,897,255,860,087,567,443,927,754,459,034,972,
430,358,264,837,910,034,469,092,216,979,152,107,257,373,587,984,789,279,059,
207,177,103,924,959,791,199,215,246,800,185,818,458,754,448,154,194,892,665,
363,671,907,820,990,722,490,856,634,198,055,711,704,644,401,884,399,477,015,
278,073,604,443,132,717,555,723,954,234,249,218,192,674,052,148,638,537,501,
543,392,623,767,031,588,856,140,979,178,289,334,685,368,389,835,639,075,616,
249,785,202,147,860,480,132,946,783,668,701,106,996,104,935,056,947,786,073,
806,990,087,858,039,444,863,708,801,684,458,391,602,588,730,897,058,139,176,
167,032,906,723,857,000,611,961,768,366,431,894,798,017,694,405,477,030,907,
006,376,363,332,696,265,817,201,929,982,967,495,372,168,185,817,521,768,425,
285,157,393,553,558,392,004,258,523,136,865,879,328,532,534,537,634,938,763,
485,818,677,393,997,010,694,692,915,812,250,641,976,564,331,652,094,688,232,
807,268,139,317,615,133,138,731,886,707,971,238,850,375,409,624,539,641,175,
034,609,256,246,122,827,265,441,254,307,995,793,118,837,060,139,709,939,153,
175,553,290,038,578,762,403,761,062,421,254,516,858,053,096,238,332,525,246,
617,113,056,486,990,066,243,214,614,095,592,315,391,030,803,860,485,547,843,
213,629,110,106,665,468,486,573,455,082,258,449,375,973,339,100,871,272,258,
327,049,923,187,093,038,292,582,410,439,430,186,432,170,550,169,922,431,313,
726,897,345,518,382,008,966,839,926,770,516,440,421,495,373,773,130,821,861,
015,922,629,364,897,588,954,299,916,285,591,842,032,642,754,103,019,016,284,
432,289,404,574,945,229,551,463,966,175,673,454,311,545,978,247,132,353,939,
095,675,864,266,087,518,938,841,965,641,155,605,249,145,734,446,589,860,690,
387,564,317,517,989,251,619,034,685,242,115,839,406,018,234,495,042,804,664,
013,025,314,386,076,685,543,342,070,560,802,005,703,252,477,910,942,457,154,
009,397,537,725,252,378,518,340,742,235,761,518,706,540,737,211,940,598,016,
887,830,749,989,318,280,235,617,106,092,374,476,511,996,608,526,510,710,156,
549,652,936,433,133,409,583,751,746,365,713,363,681,737,578,852,341,046,343,
059,064,520,489,638,461,684,753,662,044,798,683,864,660,404,790,698,711,079,
859,033,516,045,739,714,302,495,122,113,052,581,991,187,435,443,876,393,813,
081,271,458,635,556,428,637,320,057,938,578,467,831,264,816,089,745,075,640,
995,434,694,467,993,517,516,041,189,846,733,202,816,060,478,420,871,543,292,
466,708,901,909,795,825,429,587,185,668,100,978,861,569,304,009,401,690,018,
532,018,031,929,594,519,254,412,314,873,303,346,499,921,029,720,997,798,881,
393,180,158,823,606,784,302,908,325,113,443,703,724,968,588,061,653,835,141,
258,001,373,445,194,344,735,129,270,017,067,936,701,786,657,578,603,656,850,
458,543,202,755,672,230,851,828,642,284,696,053,365,558,710,333,538,684,182,
015,612,031,234,808,104,718,134,775,066,058,442,990,305,986,406,850,703,389,
723,388,295,382,310,310,312,344,608,368,176,877,473,563,787,844,635,266,472,
265,724,326,625,333,301,832,279,863,847,659,028,434,369,226,327,227,245,184,
572,143,300,151,929,329,496,311,392,056,284,250,048,698,942,701,461,389,646,
533,379,588,721,172,810,639,444,915,376,329,541,282,462,055,491,218,770,066,
067,517,086,527,200,953,932,855,420,690,924,274,648,025,427,494,250,198,972,
043,190,325,207,331,434,732,589,652,449,326,953,825,791,505,638,049,726,603,
373,825,649,760,645,097,212,461,671,713,970,128,260,905,591,683,712,499,183,
173,170,333,049,707,261,319,609,053,006,158,533,533,696,050,961,908,886,375,
596,447,574,993,795,899,388,760,001,303,123,282,523,875,277,323,955,455,110,
258,857,239,840,575,102,362,082,769,095,717,812,138,538,420,910,316,940,188,
597,456,363,047,083,854,063,434,165,722,803,157,666,976,717,937,430,691,612,
948,437,764,393,142,493,165,228,327,245,792,786,949,683,379,938,335,883,347,
712,849,506,111,180,821,514,405,360,449,220,704,751,671,963,590,028,111,437,
578,355,125,695,317,013,157,553,176,788,579,854,828,161,000,362,970,835,206,
802,316,640,122,348,439,152,920,728,721,635,498,951,971,663,054,173,221,242,
151,509,672,794,044,093,781,579,433,866,864,642,652,458,553,595,515,200,781,
098,975,669,967,855,398,662,535,143,821,759,930,652,421,279,731,205,687,866,
929,837,752,126,825,193,323,699,359,459,445,101,731,267,029,409,860,784,632,
609,408,625,825,661,569,676,269,529,149,916,251,567,681,861,408,132,752,515,
413,238,981,393,401,672,946,369,638,550,333,535,066,961,470,079,181,028,297,
398,153,166,339,745,539,204,314,596,810,528,936,624,592,967,853,456,879,157,
235,196,927,170,347,272,389,857,692,629,856,920,777,600,550,612,997,507,608,
459,202,422,246,037,027,464,109,950,984,083,781,782,616,620,567,161,432,978,
429,634,395,307,816,951,271,035,913,513,437,873,916,487,291,355,664,767,253,
780,775,250,389,382,273,313,807,799,957,112,986,631,574,731,969,617,770,545,
529,934,332,414,959,494,297,526,444,392,672,314,495,712,751,089,712,311,525,
344,876,306,330,334,995,949,645,185,575,358,021,587,559,786,893,686,518,349,
606,605,955,884,295,916,860,199,888,618,797,242,283,481,969,892,671,658,193,
272,710,314,411,730,052,195,818,642,038,623,803,101,714,361,253,791,640,127,
744,084,935,268,393,971,138,128,493,152,817,076,662,021,467,381,930,590,696,
791,900,572,539,293,789,815,050,203,670,193,424,023,217,539,692,338,776,039,
028,184,855,508,846,365,331,891,363,456,405,657,188,521,042,793,477,675,781,
799,073,171,489,100,130,418,388,820,798,346,869,718,422,396,353,461,985,828,
950,526,563,861,195,075,129,441,970,860,818,823,265,749,074,692,296,078,379,
313,503,140,578,544,987,956,668,444,654,046,792,831,300,213,431,971,572,886,
228,710,961,073,702,105,228,090,890,195,160,117,425,794,860,929,673,110,196,
650,182,829,317,772,796,348,391,614,377,496,676,894,275,670,331,658,529,422,
138,979,791,686,554,232,822,612,692,830,313,288,700,425,679,580,518,294,325,
683,672,883,996,486,153,596,896,120,213,037,721,138,037,897,074,189,339,102,
964,368,846,284,982,536,599,403,327,819,454,689,239,931,708,180,023,307,334,
924,796,641,814,507,481,599,309,871,585,743,308,209,938,124,621,567,116,701,
318,039,020,580,954,460,131,047,039,983,693,536,177,412,834,512,101,593,045,
359,096,404,534,594,036,219,497,882,619,565,429,993,986,670,448,348,006,032,
972,200,246,077,568,101,777,647,673,348,953,997,765,725,704,050,902,077,340,
970,989,240,257,175,312,645,130,954,546,964,348,965,004,306,412,274,081,585,
714,471,224,390,179,617,341,342,797,604,642,689,915,183,692,252,515,650,768,
460,108,770,908,368,958,366,457,834,149,413,803,168,354,195,895,434,295,202,
612,469,045,718,438,550,126,125,019,594,857,252,108,286,082,632,498,990,860,
781,076,768,429,832,950,065,194,406,298,408,432,833,699,740,183,196,570,647,
082,500,178,760,828,252,612,409,449,239,069,578,177,611,552,552,741,183,104,
910,266,640,840,518,104,523,480,698,074,713,769,136,937,674,483,342,834,723,
966,619,278,616,633,830,958,207,983,309,756,688,252,987,704,531,559,170,478,
504,060,483,847,645,844,568,250,098,824,012,819,023,499,441,163,419,188,450,
317,039,113,961,450,845,140,596,410,746,205,102,641,543,970,051,615,091,536,
572,778,217,165,092,151,691,150,560,727,525,401,780,651,028,457,339,731,941,
288,915,089,150,029,995,463,266,847,519,622,100,509,878,568,319,762,676,322,
068,800,961,300,837,663,144,645,964,564,960,918,859,977,279,025,354,869,086,
786,313,136,669,673,557,359,505,405,547,555,166,113,758,826,261,151,627,595,
658,339,026,296,052,957,021,496,309,017,404,502,771,268,139,976,248,563,346,
385,803,485,571,946,633,500,513,952,777,025,334,385,339,279,614,789,175,866,
673,028,942,095,458,671,869,687,537,937,889,547,199,345,416,622,240,604,718,
042,761,984,088,951,979,412,416,097,151,598,308,094,825,255,516,828,747,187,
028,239,052,594,284,258,688,355,359,234,554,365,591,113,043,707,358,479,264,
708,915,601,817,820,709,509,910,031,624,944,346,789,587,446,352,909,908,012,
251,571,719,526,458,594,365,790,911,511,811,633,787,507,028,958,593,075,563,
673,096,953,341,614,064,447,351,394,727,330,321,771,928,948,667,429,459,795,
273,678,065,985,732,182,457,300,862,886,141,229,146,527,253,520,691,535,352,
322,225,382,428,331,676,681,651,830,716,720,381,855,882,051,460,658,545,647,
094,089,018,419,162,600,689,841,823,317,884,794,916,088,413,123,755,802,011,
193,518,672,508,735,865,127,752,194,277,460,908,126,577,225,355,955,451,673,
022,031,735,865,558,043,692,953,539,875,656,737,122,627,018,364,533,724,376,
671,549,122,527,348,108,324,344,818,356,304,676,416,485,637,098,104,328,337,
712,471,445,487,722,361,321,343,552,429,123,893,944,293,870,504,156,505,264,
724,827,076,297,237,087,153,758,464,035,510,202,971,078,655,952,938,869,544,
709,893,806,834,653,448,337,807,106,888,250,508,047,066,005,256,567,429,339,
141,802,233,456,349,889,298,285,430,320,051,057,587,817,821,847,823,679,420,
731,592,535,299,466,905,357,440,202,273,527,644,828,129,230,757,283,341,759,
503,619,960,620,704,862,795,576,887,304,313,261,515,510,655,433,885,991,592,
591,610,140,526,569,210,365,478,141,162,865,848,218,511,999,069,951,725,700,
119,744,187,874,311,433,565,780,247,572,437,778,707,367,811,184,378,796,278,
057,411,411,753,251,921,166,825,445,983,118,935,708,294,712,476,869,406,541,
268,899,047,859,754,042,087,398,905,109,732,996,603,422,881,644,487,614,578,
338,608,576,445,591,211,779,870,905,319,932,716,581,243,593,432,572,222,656,
112,743,058,561,925,661,352,978,004,937,262,233,999,042,200,054,450,249,554,
866,184,893,791,214,408,503,260,954,617,717,566,171,325,287,814,817,415,046,
344,726,217,347,220,853,706,934,172,695,127,781,941,669,791,966,108,685,361,
408,520,941,537,151,464,076,903,553,545,788,280,693,730,447,218,290,066,277,
570,871,197,142,917,755,788,322,436,870,207,935,732,843,654,559,265,353,868,
597,847,371,414,026,427,999,623,429,292,164,217,756,045,844,494,764,067,032,
250,294,617,178,655,267,658,547,918,369,718,340,430,975,758,457,608,139,827,
192,034,718,646,537,700,148,779,257,287,419,709,637,953,108,630,270,741,770,
289,268,761,477,842,376,746,958,436,941,178,013,728,840,001,135,554,463,608,
631,467,112,790,141,873,118,300,136,795,197,657,153,008,953,272,467,941,918,
625,463,265,069,203,933,546,348,455,910,619,661,988,062,023,603,809,102,300,
259,017,105,824,366,117,841,984,876,553,791,868,580,769,877,221,071,319,184,
136,503,839,476,533,106,324,115,241,546,382,166,118,175,356,658,508,762,747,
575,485,813,214,730,844,156,893,326,621,205,660,169,594,502,232,165,335,801,
924,641,121,064,676,065,063,552,009,583,167,069,195,574,373,037,951,537,928,
443,606,361,270,752,224,699,084,055,431,121,211,683,443,077,829,970,019,758,
833,900,503,909,579,384,944,687,110,938,295,427,758,824,934,113,263,008,544,
106,355,334,636,579,330,449,196,928,574,175,826,345,120,071,819,623,389,242,
779,361,731,103,521,965,452,402,394,747,822,269,589,873,405,877,325,472,933,
595,410,643,577,197,120,666,998,693,915,770,374,223,338,531,692,022,980,672,
620,379,313,092,366,890,704,344,005,443,717,588,905,565,293,266,348,938,141,
883,361,413,453,107,496,285,696,347,547,236,416,574,756,155,523,669,640,305,
193,144,732,510,244,671,292,097,133,782,210,550,574,382,410,291,014,196,599,
129,385,454,746,786,329,414,547,584,800,815,309,518,565,200,483,172,750,459,
151,535,824,269,267,181,722,908,527,898,559,072,909,965,638,920,459,774,281,
701,289,675,986,628,715,525,842,467,782,729,657,826,840,607,266,044,086,543,
229,580,624,608,573,806,085,344,273,020,171,133,383,638,682,711,488,941,210,
999,764,116,874,226,397,940,385,858,137,635,649,339,502,502,384,397,289,565,
809,001,966,466,811,345,985,086,159,877,228,076,296,156,020,920,735,798,611,
256,875,421,104,949,915,221,941,279,660,370,047,256,468,887,170,367,012,193,
658,027,027,551,526,708,294,960,162,392,259,044,248,767,086,140,778,510,444,
613,093,303,872,437,425,152,720,385,893,555,780,758,974,803,567,381,526,642,
120,118,955,589,557,714,727,749,809,917,595,817,110,460,583,225,772,201,334,
299,838,096,718,019,106,720,268,933,830,372,484,052,346,324,444,312,884,134,
054,264,563,432,017,584,173,755,273,354,902,925,202,136,058,641,657,471,161,
931,443,694,084,435,510,905,833,181,631,952,222,547,723,694,787,865,065,490,
776,455,075,702,895,827,152,455,548,206,144,328,591,734,061,972,558,607,949,
288,737,396,013,439,965,190,212,194,740,870,253,957,263,143,739,149,474,534,
628,583,799,214,766,714,096,318,567,446,722,283,710,773,371,822,175,814,456,
936,275,566,262,532,618,138,088,858,265,300,459,091,918,501,889,633,934,889,
405,852,744,502,720,251,360,455,496,014,544,709,618,767,714,954,866,676,890,
758,358,861,083,935,281,521,126,561,305,238,203,863,146,828,474,951,558,526,
283,931,274,639,559,247,447,682,383,575,126,914,781,722,550,264,644,660,291,
336,375,346,122,556,073,020,790,155,777,551,840,191,627,384,351,362,187,595,
919,862,189,329,814,916,474,007,694,824,400,250,233,120,066,809,123,985,121,
915,964,916,955,753,513,854,298,890,529,792,854,294,356,100,416,684,011,633,
188,888,166,488,598,198,673,391,215,270,313,274,216,218,900,861,972,342,423,
024,011,979,467,685,977,469,131,793,292,339,088,927,121,355,166,095,303,037,
759,852,301,616,952,136,724,521,079,990,933,722,806,624,193,585,501,515,705,
762,199,036,610,963,740,156,929,120,179,809,844,424,637,744,750,799,748,070,
238,523,206,224,164,153,352,202,053,388,738,631,601,442,296,413,128,986,553,
066,398,285,931,448,074,618,294,589,153,732,394,480,034,739,787,426,098,087,
897,490,943,399,265,690,683,577,534,340,024,311,548,736,953,324,928,001,498,
243,449,945,487,807,295,545,560,851,044,770,811,949,763,833,779,215,844,747,
718,138,662,439,614,288,017,440,905,316,097,356,668,067,970,435,808,388,014,
349,904,274,781,842,451,766,277,131,007,057,148,243,336,863,527,967,545,603,
207,829,121,685,941,910,755,162,524,115,203,030,866,770,708,082,939,589,900,
346,372,510,413,972,086,129,556,558,345,361,997,378,163,149,827,830,681,705,
767,244,034,514,387,941,059,169,538,798,633,957,601,326,007,828,154,126,237,
971,288,288,320,289,257,302,612,096,224,396,788,095,952,719,057,980,176,938,
680,697,953,271,595,185,974,864,018,177,903,275,686,967,419,815,213,602,626,
775,747,243,826,865,498,262,361,600,792,334,769,046,361,415,275,398,750,597,
922,674,402,289,019,318,613,805,101,136,387,939,180,002,243,527,066,448,063,
952,526,165,824,366,930,316,327,920,541,881,604,745,912,860,733,275,105,050,
121,467,457,962,954,762,511,926,382,487,149,142,973,600,543,889,493,614,666,
844,534,206,089,548,630,191,131,937,794,263,882,145,977,469,192,591,003,739,
608,655,845,844,432,646,803,330,681,243,466,595,163,145,817,143,273,974,500,
492,167,635,713,564,866,213,986,326,749,158,988,073,491,936,566,160,251,003,
724,371,623,667,504,232,565,501,844,168,060,282,234,184,431,184,855,499,729,
834,055,647,816,664,475,275,217,783,164,446,808,620,797,442,151,143,603,343,
203,459,541,226,000,612,228,083,056,296,254,002,810,953,125,435,733,575,023,
579,948,053,555,249,169,559,285,920,241,653,743,467,542,603,568,076,606,490,
107,614,841,596,665,352,040,245,800,132,180,895,587,709,356,704,078,134,522,
646,460,300,063,874,083,034,116,623,652,637,280,766,099,805,081,971,039,454,
458,119,398,342,343,299,567,940,102,695,867,686,150,945,376,034,274,444,937,
139,441,724,386,834,326,736,284,309,025,901,857,347,931,747,359,015,791,283,
702,198,653,255,285,092,992,402,335,008,902,017,090,943,032,083,270,301,332,
284,598,686,618,695,498,224,173,059,317,812,114,412,442,649,299,680,930,520,
131,856,374,808,842,796,962,533,552,642,709,931,193,343,456,701,831,741,508,
815,347,845,865,291,431,913,745,614,703,308,468,458,776,688,676,046,404,551,
779,837,449,902,683,540,857,365,594,063,791,968,303,477,523,328,580,739,246,
452,425,716,008,750,854,561,209,591,642,785,688,713,536,121,458,124,064,770,
063,524,670,489,701,661,420,352,540,090,714,312,161,711,538,621,469,799,927,
889,862,634,709,567,542,957,816,233,089,536,524,120,686,473,406,291,512,506,
198,331,875,975,945,940,528,261,374,269,351,917,002,818,657,862,070,377,596,
657,040,773,384,157,103,357,646,445,154,747,558,666,852,129,809,407,203,829,
369,764,716,758,774,802,827,540,897,371,526,835,166,176,127,728,069,397,010,
523,734,294,723,031,280,086,120,123,918,984,764,340,380,643,378,622,645,736,
161,233,625,352,753,515,853,193,031,016,109,990,806,662,759,438,021,285,007,
752,876,291,802,848,955,850,518,336,688,088,166,333,730,207,876,208,659,979,
791,932,281,466,626,868,954,080,821,987,585,433,755,501,345,478,004,853,638,
224,601,631,726,828,878,849,788,777,536,005,050,002,295,721,791,921,221,317,
146,993,148,443,212,780,518,918,801,688,358,908,895,484,912,040,784,505,106,
503,111,275,051,379,413,996,624,769,591,460,855,798,234,598,865,532,640,045,
349,949,912,349,840,704,970,636,231,353,105,580,574,086,591,492,327,097,667,
738,275,280,522,866,862,532,080,018,296,725,250,392,107,167,460,746,349,227,
995,941,111,511,469,949,639,494,610,242,128,862,547,781,833,905,195,592,536,
784,736,238,657,747,087,875,233,537,027,800,303,673,754,945,815,275,025,027,
718,844,948,230,268,164,102,148,168,586,255,680,268,708,144,238,230,238,681,
134,947,291,691,391,610,249,721,116,231,389,013,305,354,771,767,861,661,279,
954,641,721,147,463,953,266,550,915,041,156,299,353,099,860,813,775,040,802,
038,495,926,861,329,570,419,959,880,972,162,215,537,296,214,213,751,358,828,
899,654,605,190,587,332,800,064,845,392,969,424,865,641,310,046,673,962,883,
766,872,341,269,101,913,216,226,236,509,586,502,865,604,773,479,571,450,028,
890,750,799,080,919,938,293,586,644,902,779,059,392,214,469,281,555,793,239,
401,938,145,747,260,620,264,646,658,178,009,779,223,261,524,935,018,073,902,
688,716,963,971,192,644,483,566,307,604,596,139,278,708,644,022,206,142,960,
568,612,897,122,511,728,276,058,693,349,306,100,937,996,682,392,479,949,009,
051,890,105,270,335,209,342,297,339,055,650,470,832,949,658,772,864,282,396,
646,046,529,652,218,291,680,539,052,095,044,748,315,415,874,276,625,306,019,
015,884,540,238,964,564,638,932,898,178,369,302,254,765,656,218,410,064,821,
669,810,744,598,208,366,625,890,292,609,217,514,987,755,010,330,347,507,413,
078,003,831,386,890,434,256,165,500,261,861,504,671,963,493,858,878,984,976,
220,017,041,054,419,114,298,309,437,196,220,616,194,317,776,520,093,033,329,
933,123,997,128,316,280,966,499,215,240,285,633,321,218,085,392,868,674,841,
389,352,575,893,706,149,144,747,771,934,837,023,605,627,143,607,349,558,815,
050,274,619,014,222,852,361,914,999,264,394,295,430,862,805,202,822,988,959,
568,603,410,030,094,298,760,785,724,251,256,317,119,021,627,581,073,035,051,
342,881,157,573,649,625,699,847,581,918,045,402,652,494,604,221,173,899,560,
108,832,477,917,216,037,144,574,121,919,983,002,006,844,696,330,239,683,939,
395,544,764,467,918,537,230,739,995,027,708,362,799,249,493,191,579,931,798,
271,260,240,859,445,540,405,485,299,824,458,953,723,433,619,907,818,544,080,
574,724,652,963,712,485,803,294,922,938,039,327,463,293,265,549,025,640,431,
495,568,171,189,786,595,471,495,008,288,578,841,620,520,605,620,021,733,104,
565,557,107,749,697,053,683,196,552,520,445,169,551,011,571,557,181,118,361,
160,120,277,975,943,720,424,691,753,074,089,864,372,547,903,804,650,238,607,
072,797,786,501,380,167,322,871,918,017,505,345,560,003,798,938,917,477,787,
121,767,922,629,812,571,753,831,589,468,972,886,948,334,183,789,826,155,623,
102,284,690,798,779,475,268,764,463,340,487,174,936,035,954,408,631,302,595,
556,988,621,994,057,541,126,294,000,841,849,157,887,155,353,408,495,531,818,
916,413,937,901,737,241,325,936,982,201,649,581,940,856,592,170,161,801,068,
489,975,624,172,502,156,124,491,000,300,660,694,372,191,061,425,049,543,154,
042,482,349,937,198,520,134,350,379,608,809,848,594,276,345,892,796,326,186,
705,428,622,571,296,444,408,266,171,765,170,574,629,800,044,179,517,000,287,
048,514,040,548,999,467,358,732,483,615,086,981,766,156,453,525,174,124,446,
216,880,006,386,022,165,859,755,889,735,196,529,303,415,694,871,357,017,131,
452,364,491,160,564,992,569,626,904,116,288,195,699,815,035,433,690,275,871,
750,836,323,726,624,327,974,951,729,795,224,366,055,139,496,199,561,328,705,
796,993,173,680,355,276,167,287,142,270,671,797,240,239,227,383,928,708,402,
045,066,656,940,208,499,391,061,178,692,296,559,295,224,826,271,333,510,958,
830,756,772,163,708,650,174,108,374,496,172,719,498,758,522,289,172,352,188,
076,729,370,677,655,073,168,268,878,777,155,765,466,911,805,893,798,392,910,
636,720,362,932,991,105,357,109,389,127,682,943,265,844,516,125,123,750,398,
890,942,678,404,348,601,539,863,893,143,169,513,691,561,255,418,100,410,100,
944,501,986,040,869,827,529,039,333,330,089,235,573,745,020,222,706,327,507,
991,515,433,608,912,242,664,835,238,721,504,846,233,040,200,743,447,963,213,
813,947,523,301,825,925,734,442,773,637,373,547,788,651,679,105,286,767,287,
606,500,299,300,192,586,772,450,432,517,740,357,677,571,143,253,360,767,297,
477,099,599,595,025,347,437,057,687,479,041,840,114,127,033,877,982,658,860,
513,787,015,490,764,164,963,857,443,889,333,365,337,631,219,935,648,804,154,
687,170,603,236,017,407,110,343,375,178,792,951,337,576,843,096,844,482,476,
713,808,343,682,150,457,886,553,206,630,548,840,716,700,416,042,675,037,412,
890,313,955,183,419,595,288,951,623,916,691,505,127,733,458,405,245,778,817,
953,699,389,633,578,717,663,841,690,301,454,465,828,503,243,980,965,539,170,
672,173,865,514,864,247,734,008,383,950,802,250,383,827,297,551,052,587,354,
204,130,799,160,458,445,221,092,613,272,630,034,163,757,490,686,736,737,827,
845,795,808,664,485,632,829,287,677,187,303,830,244,660,581,864,282,991,490,
479,129,898,304,989,110,876,987,575,323,213,881,527,948,999,538,658,886,991,
155,033,327,345,262,720,732,557,782,480,507,717,647,291,100,544,861,799,319,
881,329,842,305,985,267,313,174,556,899,716,914,691,295,427,712,494,205,780,
709,243,601,978,998,064,021,040,693,775,916,406,704,170,170,051,665,804,252,
682,383,781,981,462,495,496,177,411,619,807,340,839,916,644,981,949,396,506,
735,054,374,022,652,529,566,306,182,696,973,067,640,290,630,931,614,055,061,
713,705,952,153,320,905,859,616,083,718,110,284,635,308,819,751,174,860,247,
803,435,132,630,897,804,018,472,142,832,596,573,846,300,421,291,762,116,822,
716,601,497,492,155,805,321,956,340,990,331,133,399,356,876,163,291,517,717,
888,764,168,722,486,737,690,118,885,191,837,891,967,718,355,085,556,880,751,
262,627,907,924,484,253,904,409,744,672,004,094,645,957,869,126,153,935,167,
844,296,940,995,746,700,213,930,607,946,835,469,138,326,909,531,841,838,300,
338,756,794,064,221,734,094,159,404,483,447,888,364,508,550,614,896,473,125,
167,662,766,257,924,998,551,987,101,079,575,828,120,110,868,228,200,760,887,
947,248,720,947,284,069,678,031,140,243,979,692,546,154,456,043,089,283,897,
511,642,546,371,721,788,362,389,849,993,655,396,316,912,503,260,967,789,832,
695,122,056,912,992,866,966,044,130,620,486,848,174,060,586,793,970,414,417,
448,261,572,390,170,536,456,013,514,092,789,012,751,733,968,435,114,189,487,
364,668,552,298,326,678,030,990,793,836,049,566,572,760,290,509,733,779,566,
850,086,287,530,669,068,820,696,173,464,285,902,684,887,721,009,726,772,876,
684,821,671,090,265,433,965,842,606,837,444,175,718,651,757,519,242,775,063,
749,293,882,095,328,026,770,374,975,859,492,904,531,449,473,104,319,859,774,
406,764,012,704,099,470,066,985,690,421,741,770,484,556,256,624,249,759,728,
911,448,606,777,304,686,697,110,614,841,211,346,330,675,114,295,348,089,493,
385,753,636,644,342,541,532,441,256,417,782,359,250,602,003,461,723,391,511,
599,448,506,222,534,017,162,048,473,896,435,243,073,491,245,560,078,690,625,
207,013,704,955,893,482,765,906,960,487,216,550,574,499,103,144,581,714,638,
841,234,397,639,957,775,189,755,305,291,285,056,045,407,882,798,304,221,209,
012,579,406,937,440,421,797,133,308,790,389,618,391,537,478,686,804,582,498,
922,719,762,202,805,794,863,295,148,136,628,157,410,898,986,447,666,081,778,
528,692,530,151,077,922,450,868,515,001,385,215,849,128,860,465,939,321,669,
414,481,624,659,268,888,685,708,252,708,009,310,512,821,931,216,633,210,595,
283,399,157,638,200,015,515,933,027,325,736,771,522,633,162,314,255,036,354,
041,745,047,515,208,640,406,654,627,682,331,868,333,632,394,007,772,669,461,
704,360,482,053,021,503,670,632,465,029,313,575,176,618,041,256,369,787,501,
348,452,036,325,866,732,997,413,697,468,309,375,757,710,112,505,564,109,098,
624,959,357,636,379,007,699,493,937,033,862,407,721,499,467,256,779,047,948,
303,621,891,197,004,200,381,461,837,181,374,284,773,923,312,562,570,546,269,
596,447,142,303,442,136,338,647,234,073,549,524,512,114,621,302,711,017,057,
677,125,309,838,440,949,167,340,352,876,962,332,551,148,636,999,905,388,693,
759,310,573,506,134,019,934,287,637,825,464,658,714,880,044,851,600,223,047,
031,152,289,028,312,971,461,419,663,329,149,232,084,879,616,996,372,249,833,
589,643,631,710,546,281,810,114,034,038,098,787,832,093,940,317,605,937,627,
160,618,681,657,859,746,662,277,091,332,449,149,470,737,393,749,779,684,263,
003,228,943,187,959,973,660,488,635,976,192,998,609,856,362,944,171,851,504,
417,427,890,541,782,243,029,951,162,183,102,793,431,448,640,610,499,110,296,
550,902,727,960,475,321,191,100,972,644,291,674,972,072,253,404,243,239,870,
351,625,749,852,056,543,300,779,782,326,033,547,134,535,324,090,361,103,544,
025,707,348,948,637,178,531,802,655,463,536,266,132,384,273,448,272,696,501,
643,539,192,789,959,930,968,039,741,334,374,803,892,066,634,917,842,649,874,
440,397,051,822,911,645,595,053,324,672,047,739,323,803,940,419,424,968,132,
647,921,231,069,183,533,679,571,032,831,569,233,126,158,294,335,627,457,957,
995,225,560,731,032,130,856,662,686,596,333,596,640,215,194,756,230,880,599,
920,160,069,446,590,305,834,201,814,684,192,842,929,790,687,314,505,106,277,
646,612,823,933,472,895,874,914,815,574,636,033,901,573,117,500,679,998,070,
754,277,265,529,075,857,205,692,282,157,337,279,241,426,470,085,488,316,238,
528,812,939,206,154,656,232,089,985,593,317,536,053,410,523,364,597,337,167,
914,245,501,930,131,848,359,299,541,233,350,663,282,228,494,444,332,230,911,
021,592,825,380,846,212,250,303,879,415,326,669,803,043,471,061,872,830,473,
827,068,377,016,522,248,976,270,844,946,875,751,125,911,390,231,051,035,918,
259,338,017,385,431,142,716,764,412,983,424,598,955,672,545,018,743,479,999,
771,282,144,986,180,876,983,212,994,357,015,704,176,101,955,002,786,360,734,
611,500,397,862,802,892,408,183,284,262,012,357,939,814,359,130,519,913,777,
284,671,958,751,756,283,758,493,380,975,423,749,406,752,688,616,612,219,222,
975,411,921,159,068,412,555,806,985,788,063,762,533,890,322,818,062,868,808,
094,246,207,574,109,145,939,247,043,315,612,310,592,163,251,488,320,540,836,
673,563,286,570,696,102,956,487,845,881,261,040,355,151,177,580,653,968,379,
877,824,321,962,219,394,050,510,356,226,294,723,485,257,663,768,697,197,849,
045,812,523,093,629,368,003,678,131,433,701,307,929,952,182,892,190,175,869,
700,488,352,734,892,565,869,888,067,608,804,297,661,586,560,866,111,507,248,
795,862,361,485,535,288,479,778,945,324,215,589,488,495,232,360,517,333,524,
147,953,837,256,322,090,676,738,455,377,204,786,349,616,771,152,460,096,267,
327,578,893,249,729,705,210,175,406,780,957,569,845,199,654,461,645,562,710,
160,248,422,961,042,867,082,016,481,272,417,738,320,603,633,637,549,152,256,
005,477,353,139,138,956,876,341,529,214,114,642,875,986,929,404,989,262,530,
344,309,164,204,648,291,515,377,135,200,184,517,609,808,762,596,415,613,235,
139,788,335,780,067,586,840,027,899,101,099,659,190,769,025,020,892,356,640,
353,033,733,438,502,595,915,988,544,479,195,481,582,555,957,100,909,848,965,
914,561,044,740,651,074,492,837,362,972,980,619,377,845,136,748,896,529,208,
563,299,057,474,604,816,693,708,402,366,844,144,567,151,807,559,653,667,977,
768,682,764,569,437,130,741,196,375,551,972,915,759,850,009,358,015,983,925,
893,870,973,473,492,961,290,187,009,888,840,846,925,728,410,729,198,358,191,
511,077,169,642,463,580,236,785,164,244,944,330,387,664,908,151,340,102,718,
327,904,897,559,565,613,830,572,310,094,965,085,186,304,355,413,929,774,938,
960,894,203,910,512,253,968,653,662,895,861,701,743,392,157,054,214,023,025,
832,817,890,023,141,023,053,224,447,488,185,319,298,700,222,769,331,513,463,
803,268,418,755,473,142,144,493,855,418,673,866,898,014,821,782,825,732,754,
076,590,231,282,786,296,769,804,177,867,012,270,784,230,469,032,608,330,747,
496,735,749,548,899,875,371,988,366,198,413,900,244,987,228,630,463,659,356,
018,951,655,219,106,008,890,244,168,127,713,908,119,094,549,617,892,719,239,
466,499,602,078,918,243,308,045,465,876,255,592,297,919,806,606,539,591,898,
909,894,114,403,448,755,045,421,309,528,758,756,545,262,237,617,423,949,252,
737,590,378,856,734,356,662,784,959,102,833,625,064,149,125,078,630,427,937,
607,126,747,387,887,580,019,403,010,018,839,156,794,826,196,832,706,367,325,
681,100,649,266,289,877,556,792,384,136,698,649,208,044,196,560,332,332,763,
961,240,581,007,662,574,002,675,845,976,190,888,050,209,062,239,145,941,530,
236,754,359,886,852,276,357,315,158,363,186,587,931,173,290,464,703,341,273,
838,185,034,159,554,557,853,228,779,623,855,128,059,779,739,430,936,753,927,
578,305,480,255,920,823,918,478,553,243,531,406,421,973,756,038,549,892,772,
293,743,776,692,021,341,694,423,197,103,410,487,983,342,853,153,640,577,358,
476,700,208,611,786,622,918,686,324,027,870,673,976,282,492,261,997,528,951,
781,185,145,012,381,700,655,212,840,199,331,442,550,877,445,388,345,508,216,
199,168,583,442,092,943,054,228,707,121,446,355,786,165,190,612,506,551,875,
568,977,482,505,277,382,362,757,498,813,605,961,120,960,718,862,592,036,667,
549,025,361,280,103,018,744,942,521,224,329,267,411,613,997,126,309,521,714,
507,748,957,755,967,547,242,677,783,967,317,865,806,622,569,987,095,464,329,
448,682,253,759,574,580,748,771,960,314,419,756,440,911,233,562,112,023,546,
733,053,430,154,851,301,634,962,084,151,634,284,737,851,879,819,834,021,422,
835,099,319,567,640,103,726,374,258,017,084,103,303,219,296,851,897,281,726,
597,918,816,699,043,999,076,857,935,983,996,811,282,172,263,231,987,729,782,
732,818,599,348,845,901,903,758,606,991,155,207,673,243,294,071,963,975,773,
687,691,360,142,546,603,585,819,747,208,846,396,102,752,820,327,311,518,581,
177,797,026,428,278,770,826,568,604,679,421,840,990,138,083,038,818,015,716,
311,002,776,717,475,674,961,028,411,443,909,032,011,761,451,369,102,690,274,
847,826,654,443,679,766,833,202,303,990,570,116,124,714,197,060,455,168,564,
124,748,970,981,666,794,390,051,334,666,603,287,841,442,593,550,349,270,092,
713,757,850,849,835,963,617,405,973,245,007,433,304,062,148,896,388,388,000,
053,527,137,979,020,953,669,984,279,477,019,957,274,687,358,764,647,085,285,
980,922,067,202,551,400,990,294,954,809,414,263,968,862,254,428,535,963,699,
664,099,825,476,353,415,357,360,766,482,521,799,909,743,588,450,064,015,036,
673,349,037,398,914,256,950,612,632,993,344,778,871,008,633,581,271,143,712,
912,060,497,528,582,210,702,781,241,956,518,790,888,628,179,624,112,725,315,
181,885,992,919,101,881,930,364,011,201,854,723,941,310,701,631,926,651,083,
406,530,751,533,621,230,958,746,065,053,921,191,566,126,941,724,094,654,151,
091,966,673,096,226,181,597,659,568,246,896,965,319,470,592,488,356,666,791,
858,506,537,560,354,737,984,651,224,675,952,807,633,529,746,705,837,907,755,
955,921,961,067,885,123,637,993,997,792,595,387,500,450,352,844,186,768,371,
377,575,762,076,461,873,517,158,411,612,306,097,175,529,616,406,160,772,034,
168,482,292,315,395,132,415,467,515,147,730,329,578,393,937,552,038,197,406,
817,874,482,807,546,723,456,534,072,963,145,747,158,848,221,049,174,272,047,
496,792,500,289,495,751,879,793,015,548,786,975,021,162,589,543,054,629,257,
279,191,655,676,426,162,274,025,015,095,781,206,351,467,307,031,444,777,555,
089,358,504,618,574,057,350,261,225,440,271,072,399,387,401,636,691,672,949,
275,954,921,746,186,033,302,728,652,547,400,049,579,227,775,745,446,223,394,
649,948,796,437,761,361,859,637,740,654,802,296,208,930,918,291,177,092,065,
056,409,575,524,690,548,361,455,518,431,444,689,275,941,394,123,271,905,602,
697,835,678,122,718,561,409,774,513,540,235,331,379,430,684,306,217,643,199,
010,858,134,207,359,496,356,188,768,993,730,083,421,738,223,337,646,486,575,
302,792,217,535,459,225,484,985,846,177,201,405,680,841,170,460,778,775,954,
064,882,931,276,515,053,747,852,876,775,717,199,711,195,825,637,737,712,195,
079,265,305,134,550,801,889,154,496,877,450,341,738,230,647,179,297,134,147,
728,643,297,115,916,514,791,030,034,807,516,123,169,150,005,737,191,408,209,
227,966,536,564,371,145,270,914,235,937,325,035,585,169,118,837,754,120,620,
504,410,721,416,674,961,852,210,522,720,272,886,799,715,422,413,083,129,741,
958,828,928,169,047,167,458,595,072,158,762,162,645,272,615,534,146,120,219,
144,536,837,947,875,796,751,983,441,231,023,217,402,436,772,494,614,200,385,
325,708,919,624,493,773,990,612,615,945,453,222,759,955,606,772,404,844,033,
203,201,432,264,244,606,900,463,674,095,505,225,792,401,501,342,365,331,733,
055,945,637,029,212,868,196,326,301,883,613,604,865,723,415,049,276,186,548,
978,290,420,453,128,967,048,640,960,521,764,057,377,518,562,851,511,262,781,
438,210,686,854,240,048,736,620,546,523,957,714,829,171,357,325,091,103,028,
197,342,621,283,938,860,079,305,827,674,805,665,436,976,510,538,489,389,439,
297,582,842,410,965,755,306,709,271,444,448,037,450,115,328,621,087,442,015,
391,627,915,315,177,973,240,022,976,279,662,496,753,694,261,554,636,228,520,
017,770,208,384,318,196,845,038,908,288,582,518,185,289,403,674,516,198,393,
160,144,409,350,300,488,315,553,923,308,236,636,217,270,601,132,917,246,724,
104,772,290,041,100,385,260,974,269,100,063,936,776,788,553,010,667,815,526,
374,417,129,097,092,748,469,657,521,462,522,307,983,298,846,498,315,811,583,
719,803,209,350,194,684,126,680,064,874,897,212,876,573,551,739,869,900,202,
574,689,790,830,169,012,433,187,367,197,145,841,729,255,565,883,509,384,484,
618,874,852,152,790,741,129,122,810,720,501,619,251,576,206,161,983,822,994,
628,540,218,710,683,333,418,356,796,435,326,249,844,845,677,259,830,763,190,
043,804,660,293,227,278,306,184,389,995,443,997,174,377,973,631,534,981,297,
367,881,775,681,433,359,292,243,882,827,776,273,798,395,766,608,510,671,627,
267,830,051,660,612,159,277,077,615,570,229,683,866,676,934,731,891,473,692,
116,460,398,767,338,137,182,200,186,994,055,248,335,345,748,656,639,529,654,
529,304,509,459,879,834,788,594,083,899,692,022,748,088,749,156,870,973,130,
188,219,293,682,300,180,057,698,291,992,724,517,396,059,937,576,710,408,352,
039,715,005,740,620,110,592,838,027,390,830,265,155,490,844,797,758,241,984,
874,008,582,867,787,592,250,474,768,055,179,977,404,022,357,481,837,137,378,
905,091,383,579,624,522,730,549,300,608,285,136,275,327,640,168,523,900,610,
977,511,472,654,642,662,811,198,485,532,091,703,064,067,716,197,160,479,430,
345,147,951,049,389,018,629,990,033,614,361,842,499,998,663,544,794,765,389,
340,678,061,975,592,386,313,175,811,830,320,511,285,474,190,320,584,473,041,
577,226,692,090,707,828,549,909,744,211,258,898,036,723,853,632,415,452,942,
349,041,054,918,799,662,747,083,463,287,913,972,696,789,748,704,730,357,549,
684,539,304,754,569,417,974,478,973,843,798,663,931,402,848,212,078,256,662,
173,796,427,050,567,559,235,981,576,067,950,579,957,308,521,109,323,143,648,
965,270,847,906,666,023,485,261,451,542,326,654,502,132,100,426,810,971,544,
109,114,221,327,229,980,907,555,901,559,457,657,276,857,297,478,542,458,901,
473,591,099,373,734,557,165,524,787,685,455,217,042,603,251,146,273,653,586,
563,020,296,845,818,085,310,445,597,039,916,849,241,733,749,297,232,395,900,
810,012,639,555,864,278,744,254,700,952,883,753,070,789,184,683,146,780,068,
523,153,951,349,631,253,602,261,249,372,800,100,552,241,917,702,503,234,146,
466,964,470,479,329,209,833,139,226,457,453,095,502,001,729,442,237,865,401,
950,206,560,318,138,395,942,259,242,840,524,630,197,056,834,493,713,285,195,
862,434,337,226,551,225,739,906,689,472,063,873,501,314,026,701,651,468,357,
898,150,306,373,337,385,641,062,245,590,617,043,215,438,629,662,662,907,008,
294,829,327,554,341,815,537,739,527,264,775,924,669,569,999,106,460,121,130,
140,183,062,871,961,911,318,789,183,907,366,024,205,623,119,379,915,067,733,
142,855,118,801,999,205,532,052,066,352,818,627,184,071,416,313,804,969,274,
950,573,782,498,122,158,313,484,480,690,205,329,898,016,036,430,883,490,871,
479,492,960,144,628,405,044,916,487,897,788,970,574,681,906,244,848,152,462,
256,317,883,093,282,157,253,858,898,135,354,605,531,728,981,561,988,728,923,
687,154,144,955,670,239,584,094,336,257,218,292,016,905,565,264,876,942,700,
968,459,203,585,347,230,984,069,094,613,177,852,608,719,671,076,540,123,823,
843,041,099,394,791,321,105,608,461,122,958,197,466,308,214,442,109,473,385,
604,524,973,927,468,949,441,723,513,845,798,814,237,793,818,167,084,136,081,
370,890,786,907,236,048,143,563,604,384,727,493,064,306,878,501,427,970,695,
315,480,141,900,725,104,709,017,842,666,610,847,233,301,809,659,661,270,309,
662,379,055,500,843,895,460,906,005,272,415,087,854,586,673,312,791,900,085,
746,708,809,823,229,610,285,982,396,647,885,641,221,065,130,688,123,579,413,
657,518,208,316,062,233,655,587,238,466,914,005,296,592,529,081,511,765,498,
223,313,281,142,243,482,610,664,060,040,701,197,695,244,203,831,145,913,962,
173,050,920,440,563,104,820,488,546,384,007,365,585,726,204,718,279,715,964,
641,779,109,006,111,583,729,454,049,639,622,335,821,364,788,443,595,704,031,
361,708,089,785,270,138,451,779,382,139,598,419,313,908,882,669,626,046,842,
659,766,484,274,837,717,351,870,998,953,871,051,726,278,877,040,110,632,534,
255,242,876,822,575,666,034,597,386,134,649,505,396,546,005,531,258,246,145,
846,954,246,169,763,431,743,981,225,188,555,782,352,021,568,647,465,866,812,
844,153,127,141,456,324,953,069,047,368,646,744,607,216,859,044,354,101,515,
657,591,480,187,256,122,795,899,507,167,702,034,571,544,243,980,418,767,630,
444,945,963,610,678,502,976,505,050,668,761,192,510,278,273,442,441,817,558,
384,278,755,973,281,347,440,915,612,015,482,703,622,337,975,906,578,555,174,
855,666,451,157,586,262,390,516,497,877,632,995,509,456,442,361,708,621,803,
703,503,187,342,355,798,585,102,093,546,044,832,462,497,461,845,709,206,163,
888,329,644,978,906,230,529,375,875,662,452,528,694,297,454,762,963,934,293,
474,344,189,250,920,945,453,083,641,106,532,555,412,988,323,656,077,400,033,
628,196,647,094,337,542,376,701,869,385,584,081,961,737,757,031,953,207,685,
905,887,896,855,135,666,592,180,031,503,289,451,535,177,698,024,793,286,545,
699,676,209,882,603,385,267,770,252,074,046,946,642,091,224,001,635,867,786,
092,932,619,124,512,902,861,545,423,813,976,479,666,849,883,382,226,773,011,
539,529,233,452,341,014,279,207,164,446,253,736,841,785,892,090,655,849,221,
941,777,436,485,947,168,217,769,371,888,373,770,650,270,378,676,826,748,250,
435,907,131,148,622,469,406,018,430,269,904,414,494,548,637,490,434,810,519,
285,390,786,904,150,982,685,074,912,961,552,233,539,985,108,000,979,848,825,
013,152,056,397,377,268,021,699,817,347,148,766,247,294,044,635,273,661,754,
845,762,693,240,425,069,294,382,178,113,848,975,990,479,587,090,800,817,555,
686,059,716,581,265,204,392,455,627,896,137,298,267,983,363,951,806,352,303,
735,261,050,328,901,610,149,431,846,514,095,637,949,222,224,076,535,682,590,
020,737,779,056,426,610,217,972,809,055,168,573,621,801,977,699,369,588,048,
007,388,548,121,566,573,658,927,458,004,674,126,104,733,739,146,313,300,873,
612,849,572,051,904,723,522,682,259,387,647,582,471,642,580,712,485,426,269,
672,364,996,488,721,408,158,150,600,662,236,977,380,579,653,642,160,450,613,
383,111,132,860,696,827,230,705,418,126,170,703,259,601,124,885,313,872,112,
621,166,876,820,967,584,780,812,389,650,472,207,471,905,185,625,168,940,884,
737,777,395,133,396,543,900,169,954,080,285,059,934,206,689,965,067,458,180,
777,329,030,948,428,805,153,224,526,589,314,203,178,270,796,179,205,194,178,
016,945,397,511,490,190,220,198,410,652,960,398,491,479,834,130,963,934,571,
965,036,963,396,205,218,338,316,438,837,609,204,853,556,454,372,283,505,649,
070,272,615,633,704,801,585,842,764,394,847,684,681,778,788,845,636,137,738,
044,215,379,315,241,082,253,651,726,272,680,727,452,126,996,864,186,802,628,
301,635,395,901,567,028,918,923,936,755,247,529,860,678,151,328,010,238,058,
236,563,165,492,151,261,009,735,116,252,287,126,650,222,568,986,657,093,318,
738,898,363,936,427,756,802,716,112,288,512,665,178,080,185,513,805,454,842,
210,811,473,716,021,626,607,891,300,913,579,150,884,490,835,167,909,615,715,
535,114,916,187,108,871,747,868,918,433,596,377,402,439,547,074,788,659,737,
374,954,004,055,093,827,281,231,696,020,628,261,084,658,772,840,336,777,586,
219,843,840,133,587,190,849,609,239,255,250,321,520,758,198,350,232,663,030,
749,993,032,068,758,036,903,878,468,455,822,061,956,966,370,692,074,211,347,
363,195,737,880,676,952,294,157,056,692,827,141,995,119,882,823,623,875,641,
938,537,325,381,830,710,078,220,627,541,512,634,761,534,740,063,274,433,443,
928,581,758,429,967,680,391,900,273,841,653,442,307,176,933,521,775,817,579,
021,065,995,178,296,048,939,619,728,525,809,687,034,932,586,402,645,474,401,
059,206,887,427,214,132,398,248,301,853,103,493,517,954,341,580,252,236,660,
615,245,535,767,873,613,841,780,703,769,681,925,704,074,667,488,479,592,793,
028,231,172,661,368,514,555,785,390,217,560,869,370,017,200,678,437,067,502,
016,258,786,696,739,818,831,069,107,747,324,199,995,385,440,496,416,156,598,
815,899,649,441,210,941,578,176,619,902,121,155,530,359,316,426,569,689,538,
630,859,237,118,828,008,410,853,681,890,144,497,414,966,013,017,461,236,677,
728,941,282,931,517,494,540,306,748,943,917,343,017,280,669,683,541,012,484,
173,536,875,380,655,605,408,654,612,657,340,460,458,728,979,234,134,984,081,
512,474,075,947,042,600,742,007,472,392,608,141,105,869,672,448,849,529,579,
440,667,847,075,189,010,370,383,028,833,952,230,642,509,132,519,828,306,081,
839,344,078,082,416,568,840,803,016,640,642,166,885,963,113,730,771,978,792,
015,959,076,593,885,925,301,104,725,063,111,468,873,747,949,969,774,129,404,
528,510,887,104,501,231,981,802,594,075,812,038,309,286,911,549,278,899,087,
035,826,544,716,031,087,007,392,456,872,167,036,175,748,330,240,947,535,005,
856,504,791,997,379,170,258,980,504,114,997,507,203,030,446,230,962,499,686,
646,283,542,137,666,785,855,959,107,237,276,438,446,111,853,892,078,463,421,
959,829,422,829,261,093,291,398,199,086,172,535,243,113,391,401,337,473,849,
212,629,058,711,313,944,262,609,056,174,511,028,999,608,839,186,746,309,992,
176,185,958,764,096,618,833,416,303,200,688,936,228,218,937,214,302,331,933,
198,947,141,967,043,245,039,742,428,641,154,417,086,651,639,092,343,320,418,
613,993,096,915,998,046,275,116,415,880,314,859,897,760,213,896,526,262,276,
182,428,238,253,386,625,326,657,856,485,057,504,424,018,384,078,056,237,704,
790,820,006,620,736,919,237,606,104,235,627,169,128,008,085,683,040,101,648,
121,044,203,731,583,864,880,461,605,087,612,615,238,087,906,553,487,797,252,
097,280,532,687,374,250,366,524,675,179,002,021,526,579,578,740,851,810,497,
607,767,256,034,226,407,356,743,270,578,081,773,281,191,212,220,999,406,512,
446,132,545,541,181,464,480,571,491,159,840,733,936,632,710,612,434,749,671,
980,642,027,841,302,299,973,673,520,583,398,300,077,329,272,634,792,163,107,
232,690,717,989,065,040,190,193,892,094,634,714,615,906,489,157,727,438,372,
330,433,020,855,704,811,491,095,376,408,890,227,423,395,572,739,147,654,718,
646,668,526,031,400,622,144,598,050,628,524,093,743,825,655,058,489,114,412,
266,922,709,576,314,519,134,392,977,061,164,722,467,318,781,543,423,241,811,
637,382,227,604,411,785,075,049,496,692,276,620,604,914,801,106,514,593,629,
477,464,961,451,705,353,015,054,969,184,572,354,027,586,173,534,133,440,660,
316,420,010,960,126,480,565,545,376,815,886,467,470,813,564,777,639,772,219,
590,411,762,272,890,846,820,844,748,091,760,694,740,915,165,616,752,196,151,
667,323,135,749,362,635,314,685,353,065,143,045,760,977,839,335,776,887,810,
195,029,561,647,993,059,208,893,453,631,077,821,698,546,062,425,908,953,049,
842,327,137,118,938,094,168,024,627,943,509,660,820,879,199,287,974,647,034,
751,712,005,433,038,053,152,112,822,685,513,963,999,377,758,446,392,247,135,
819,278,655,085,868,481,907,323,793,507,047,365,445,998,679,398,345,129,786,
401,566,950,706,353,712,777,550,432,847,763,062,930,551,783,542,049,904,736,
535,130,729,901,759,574,724,141,341,880,213,297,834,935,975,517,531,807,131,
221,917,644,631,237,819,755,660,322,066,795,986,259,866,225,400,319,644,006,
658,458,365,214,784,858,385,935,479,511,834,628,800,911,455,029,126,894,502,
662,903,294,584,844,282,542,686,586,876,211,149,842,170,308,247,195,129,871,
533,733,101,764,635,652,291,183,436,083,850,712,144,623,986,538,155,303,405,
349,855,843,562,820,698,162,587,314,738,159,097,000,994,399,851,206,486,501,
714,640,185,837,164,102,560,346,419,300,058,056,629,447,622,247,959,262,183,
117,287,296,522,721,533,942,904,130,209,064,103,024,520,444,121,327,549,156,
387,161,309,377,914,640,762,333,268,850,544,147,129,401,861,084,521,269,925,
722,785,541,886,723,739,685,692,587,291,169,689,138,415,644,744,347,075,693,
484,555,913,639,565,960,084,520,599,191,492,372,183,284,943,069,055,218,152,
567,045,244,245,573,414,111,414,671,776,767,116,769,961,952,553,738,133,392,
644,023,900,617,172,858,936,430,046,769,119,304,669,841,254,580,913,660,087,
039,811,612,581,342,956,647,567,387,880,259,005,363,344,888,096,293,370,732,
063,137,440,529,655,919,224,771,604,751,891,242,320,053,223,908,952,293,120,
754,600,226,637,265,494,198,620,517,323,070,831,728,319,309,151,254,141,937,
955,762,861,854,038,717,109,480,775,202,034,248,201,001,613,630,493,579,273,
620,103,065,682,831,827,876,755,840,679,049,131,429,731,000,265,888,273,536,
695,416,210,082,953,067,689,900,907,563,083,911,029,775,446,411,578,317,669,
605,002,487,263,339,830,319,460,529,900,646,894,720,472,098,488,075,746,215,
466,422,740,417,032,392,590,510,159,975,266,378,740,102,407,209,471,690,212,
500,325,434,239,099,346,655,403,395,133,519,642,815,242,822,570,075,414,608,
343,785,371,310,001,216,484,095,117,930,856,026,394,948,166,782,200,210,222,
839,176,063,760,606,935,999,235,192,114,896,374,140,445,148,688,266,142,088,
861,352,346,426,472,028,371,759,039,836,194,998,167,797,455,611,003,437,280,
071,343,825,642,271,761,598,487,354,285,778,579,566,873,619,138,599,817,048,
924,598,246,875,222,155,929,324,010,839,166,438,441,884,554,776,841,287,181,
460,439,218,799,823,761,226,489,712,612,219,251,507,484,944,849,612,015,178,
145,160,203,507,874,963,276,365,643,194,998,955,235,054,214,776,458,263,899,
196,039,533,195,335,107,606,567,645,468,624,734,181,880,992,850,058,308,518,
464,535,488,601,741,667,561,667,916,160,121,197,196,615,745,377,641,229,158,
885,816,355,372,255,705,825,067,023,975,130,728,070,504,978,243,388,354,312,
323,255,062,054,224,048,347,867,637,602,639,424,294,488,303,304,088,861,347,
079,634,968,715,595,338,388,458,648,928,274,373,964,243,407,551,072,363,634,
650,589,173,535,610,385,892,049,057,956,751,186,789,098,631,010,376,632,120,
779,724,399,466,176,143,941,978,755,039,830,329,889,387,097,266,450,046,113,
959,549,411,618,388,335,597,729,490,378,127,420,947,158,359,713,623,283,302,
657,250,224,219,333,742,599,157,703,848,420,802,168,905,158,694,582,911,001,
678,299,256,799,814,907,017,090,024,269,597,324,066,417,924,360,428,459,825,
505,160,543,976,311,610,394,180,628,683,433,655,899,827,452,212,598,534,657,
663,580,684,496,513,797,342,875,659,024,524,299,445,518,908,160,241,442,005,
618,800,853,508,639,734,510,358,441,387,001,289,227,594,396,936,937,186,614,
386,146,202,453,450,667,893,113,360,611,937,746,743,256,521,226,946,295,197,
786,358,331,292,829,602,883,007,645,361,064,939,964,155,986,991,309,670,499,
135,145,402,401,670,649,280,628,091,275,063,720,691,672,770,362,058,477,782,
164,017,958,231,986,747,165,492,904,139,935,005,003,065,965,874,943,978,250,
960,479,143,062,173,871,141,578,200,892,217,604,984,227,903,588,250,605,414,
008,125,348,487,924,419,900,920,146,218,269,212,040,181,946,502,755,359,203,
605,619,998,807,829,290,497,849,638,546,794,589,554,828,922,643,221,526,958,
058,425,229,282,735,386,124,774,713,793,255,250,869,930,177,762,885,941,176,
174,262,756,609,346,293,937,105,026,895,350,359,452,476,194,994,443,252,773,
594,466,400,043,309,185,438,092,565,815,862,407,051,684,677,353,405,156,430,
927,460,471,730,558,366,404,448,693,181,233,912,626,078,959,546,161,107,233,
960,783,224,746,069,175,013,193,170,722,307,040,204,342,206,892,101,886,365,
212,533,752,961,040,954,243,372,985,533,525,055,576,512,885,574,262,106,959,
582,682,941,886,256,603,649,084,726,659,947,457,583,176,207,302,906,354,412,
376,895,290,611,011,523,232,200,195,563,633,066,195,349,636,522,392,346,069,
809,105,857,209,287,082,035,916,883,288,350,738,363,661,588,174,006,848,334,
056,748,670,172,166,708,781,198,406,014,998,241,125,478,753,924,311,539,529,
512,786,136,897,038,566,149,320,948,393,082,381,683,167,492,065,443,348,050,
377,784,129,513,306,254,282,032,235,922,500,179,556,512,728,065,894,748,630,
764,555,885,295,491,672,432,298,091,356,154,285,851,738,540,958,241,436,364,
034,555,212,785,142,258,535,359,366,802,705,002,902,865,472,014,581,072,437,
513,419,793,268,418,339,833,183,974,137,883,088,176,739,606,890,045,421,581,
236,138,460,880,836,240,679,207,673,253,484,871,617,725,285,521,326,717,816,
925,260,391,250,977,259,716,838,261,192,031,705,631,388,540,490,623,642,527,
678,650,009,534,435,488,560,893,110,284,232,034,384,847,261,406,437,169,614,
574,836,190,058,429,387,154,632,025,492,943,371,262,871,245,273,412,394,941,
519,285,320,139,000,857,058,351,033,329,773,460,619,922,928,542,551,972,540,
419,024,392,749,402,809,528,513,530,306,927,440,417,988,902,083,941,928,255,
764,680,137,641,604,649,223,013,398,431,037,224,366,092,707,961,261,058,114,
627,527,929,708,890,354,755,750,454,752,507,795,363,306,637,054,253,329,960,
556,193,249,452,640,912,996,015,778,641,170,205,608,908,569,397,939,082,666,
698,677,186,119,976,153,766,763,770,839,970,723,710,635,366,442,215,173,974,
385,016,717,916,815,798,379,493,293,916,265,943,730,737,126,224,980,754,440,
228,137,748,989,428,001,732,670,164,291,806,210,754,064,992,826,668,579,636,
254,257,159,301,257,157,375,523,527,786,179,730,657,275,762,326,698,695,269,
320,268,251,368,150,459,491,460,614,542,431,927,475,109,643,713,559,410,219,
303,598,950,037,575,694,936,175,757,100,781,266,762,492,816,940,981,362,696,
441,492,777,102,879,812,577,418,200,192,609,413,971,069,608,204,214,283,675,
150,579,734,350,392,292,058,919,430,837,744,616,458,952,542,964,620,587,324,
111,527,277,153,145,190,925,133,689,749,482,319,588,614,671,569,343,365,450,
219,909,729,705,349,979,091,309,211,319,028,121,199,813,845,617,857,107,826,
461,339,187,076,871,083,082,598,161,531,730,792,890,434,766,405,237,246,403,
877,170,147,656,852,110,067,301,744,730,046,895,826,643,816,306,898,215,760,
746,845,365,385,810,893,666,159,766,053,847,046,826,198,672,708,708,784,372,
529,716,849,815,806,127,674,283,363,266,521,281,947,627,533,996,406,844,032,
234,393,330,154,647,281,428,750,842,187,819,546,545,100,679,040,278,139,231,
670,305,605,551,453,554,158,536,523,520,528,835,907,994,786,080,095,869,424,
483,509,318,890,135,219,145,306,046,115,780,959,853,082,227,325,534,223,476,
977,608,974,974,885,392,202,098,056,256,771,161,854,634,458,823,249,648,594,
187,132,683,541,507,576,139,913,287,255,378,116,825,414,693,550,465,829,842,
196,215,144,981,373,993,593,005,040,614,817,513,306,273,750,794,982,715,375,
693,593,092,546,325,885,555,654,008,646,254,188,666,632,853,072,138,085,710,
929,307,042,053,802,815,476,667,625,382,276,381,043,674,442,809,209,352,421,
317,211,191,806,801,302,085,327,977,272,709,001,285,994,048,237,496,616,603,
435,906,239,708,835,087,820,073,675,301,309,906,861,936,880,413,514,710,374,
239,340,669,853,762,974,136,663,565,655,908,291,455,241,905,178,780,466,281,
367,031,218,345,817,151,863,032,124,332,888,532,233,032,945,369,801,659,465,
550,143,550,739,623,589,208,274,053,976,823,654,799,758,471,820,048,342,747,
218,824,390,760,055,084,338,398,182,837,581,473,290,996,021,807,608,992,902,
164,094,064,265,626,363,167,953,739,651,653,713,662,359,509,683,779,716,939,
918,826,280,484,686,177,456,160,661,386,555,023,469,676,920,660,812,525,123,
262,215,253,854,853,893,824,568,412,178,173,155,357,074,146,656,774,596,477,
800,080,998,718,664,919,285,111,363,039,559,644,113,458,480,770,852,680,903,
631,980,406,055,574,181,871,978,410,382,570,298,388,466,402,440,849,640,400,
154,327,269,789,708,838,166,630,750,188,463,000,935,114,317,089,961,582,772,
867,663,889,601,048,882,368,793,325,775,627,993,797,810,906,431,149,394,937,
764,343,619,828,393,081,366,069,301,375,297,950,737,079,883,857,684,846,756,
152,639,442,831,897,546,070,369,946,833,446,824,378,589,334,105,304,035,481,
668,680,984,219,901,648,053,044,218,103,258,842,280,551,258,229,850,965,129,
939,873,034,833,213,546,213,687,761,459,909,074,439,804,187,644,948,094,855,
646,039,844,243,826,840,961,196,151,859,068,733,969,825,128,859,058,516,962,
645,827,825,979,718,641,012,839,753,034,798,259,688,758,647,537,178,962,541,
744,534,086,525,680,088,928,460,547,317,714,122,523,618,895,219,194,490,196,
320,772,958,520,289,665,501,402,570,241,412,773,568,903,352,706,972,953,056,
050,399,401,523,101,503,114,404,117,923,958,788,590,858,933,787,283,325,466,
419,363,483,369,806,730,314,207,626,701,619,899,744,638,250,648,384,908,518,
597,205,674,417,254,716,561,001,084,469,485,613,438,812,967,162,436,041,425,
986,781,856,625,682,345,489,187,616,300,290,622,926,595,091,731,004,460,659,
651,338,743,537,189,093,582,754,144,239,027,079,809,027,006,349,354,321,601,
126,490,374,026,400,061,993,070,526,306,650,578,730,241,299,159,481,767,317,
010,501,377,315,430,272,280,908,356,493,741,722,445,206,076,505,648,205,521,
014,119,278,298,209,928,911,157,832,247,043,868,276,936,702,891,655,692,856,
076,460,638,988,263,048,194,438,674,880,468,721,598,694,121,317,122,859,555,
475,737,139,243,106,772,805,824,472,595,605,265,500,551,185,215,884,993,741,
726,406,141,265,853,080,852,841,452,109,694,595,972,889,299,097,127,580,326,
452,101,731,711,934,657,512,870,044,024,066,756,978,701,358,069,205,882,335,
927,254,732,026,269,746,475,071,690,816,606,252,909,964,827,342,453,922,763,
042,029,783,469,002,311,017,058,242,422,399,284,348,204,370,343,081,691,421,
072,305,010,593,384,181,662,765,787,333,669,813,723,039,075,765,264,080,387,
575,566,373,194,313,634,864,343,240,072,852,170,944,997,453,288,822,802,231,
853,005,119,853,549,744,398,724,744,488,913,806,402,917,759,263,227,304,483,
762,536,800,671,722,432,614,220,195,442,439,154,831,850,993,250,440,879,158,
174,548,372,944,862,842,372,242,092,863,349,532,307,180,687,889,018,316,202,
899,758,576,416,803,842,276,930,151,704,357,361,207,195,401,192,957,564,725,
465,736,298,356,409,077,142,510,796,220,526,957,620,638,043,254,547,384,189,
533,743,983,016,967,055,344,858,725,248,313,282,868,055,938,082,162,167,509,
277,416,412,374,350,245,934,577,839,101,867,630,502,579,983,264,473,857,745,
849,937,402,231,132,259,358,612,133,785,608,586,543,172,909,402,995,597,054,
902,609,777,343,536,566,058,877,378,436,531,587,032,059,434,354,976,315,532,
542,351,589,120,245,546,042,743,617,259,135,592,684,379,363,137,902,162,166,
625,781,678,755,342,128,988,449,583,115,403,285,297,751,633,865,689,700,200,
209,451,208,564,452,712,419,326,297,221,393,451,653,231,201,059,700,492,217,
916,509,313,030,003,990,693,439,913,259,954,629,267,865,453,825,855,582,373,
813,922,576,039,439,662,486,148,577,315,520,765,460,686,097,999,832,003,566,
731,904,787,436,490,583,931,982,071,479,102,458,360,458,390,554,326,601,605,
814,631,672,730,617,923,019,701,513,651,722,332,291,455,863,742,073,579,342,
261,275,355,511,544,609,131,887,081,075,219,603,900,923,916,577,514,007,481,
249,871,790,268,628,374,576,790,609,658,730,020,791,068,820,778,085,075,391,
076,195,444,990,998,490,945,359,873,481,289,706,190,609,168,611,253,997,833,
216,578,055,460,770,353,156,305,654,016,754,923,677,644,244,353,783,254,278,
459,923,994,574,786,449,012,006,536,238,066,112,174,303,406,996,999,681,899,
232,716,592,946,211,365,842,972,226,333,015,655,988,431,213,838,637,819,684,
441,719,784,209,978,546,582,305,386,540,334,371,239,175,080,106,076,416,356,
531,010,151,551,982,097,013,593,157,102,721,127,411,362,879,757,915,937,604,
138,896,386,021,796,605,540,962,649,776,388,308,082,237,334,042,813,217,992,
590,419,040,204,996,010,993,731,565,199,588,812,569,958,481,592,632,371,037,
438,158,600,656,141,552,184,063,404,573,729,182,445,142,247,073,932,401,034,
935,755,318,863,789,316,619,473,541,275,233,539,929,440,487,757,724,435,680,
216,964,241,527,736,366,944,699,449,289,644,696,776,807,653,561,292,196,453,
862,406,876,702,501,921,214,025,837,921,005,080,846,743,116,079,371,669,861,
092,507,337,534,417,141,367,509,736,440,131,531,392,702,063,989,624,624,635,
265,114,553,711,328,370,057,575,901,235,845,826,810,483,239,315,765,956,582,
635,926,838,369,291,390,291,109,887,164,954,612,655,053,406,186,865,790,817,
700,615,718,753,177,348,177,605,493,169,581,014,960,508,539,785,482,396,172,
464,168,474,622,132,542,046,563,654,553,180,955,877,501,265,061,836,398,824,
834,511,315,230,701,703,791,555,552,936,756,941,141,041,900,140,889,277,257,
794,017,364,027,736,178,819,078,280,145,878,724,190,441,537,496,086,895,301,
455,469,556,430,069,048,015,550,124,513,081,025,384,597,606,031,356,838,745,
433,096,623,590,278,140,397,573,082,314,108,470,393,978,393,468,471,310,753,
295,339,345,990,028,251,567,104,399,261,382,606,209,219,563,203,342,088,937,
264,349,655,750,510,380,099,964,462,903,053,823,496,168,727,120,667,326,727,
969,416,035,651,327,594,846,958,438,179,761,687,826,398,567,759,835,743,569,
082,173,114,195,722,641,106,938,146,365,559,132,657,899,614,374,500,903,823,
458,942,203,225,238,838,769,383,051,288,585,954,977,313,164,652,611,834,521,
307,657,386,449,708,809,677,517,130,525,957,968,545,486,561,677,458,417,362,
023,088,500,903,601,270,458,029,584,434,401,262,742,308,355,969,554,551,328,
366,618,489,570,888,439,448,962,391,764,085,581,361,229,849,359,874,632,009,
067,088,865,216,007,467,120,078,108,172,075,543,253,181,732,972,708,099,287,
060,981,686,301,886,812,829,143,604,790,180,280,626,798,286,100,380,894,086,
289,478,774,503,813,547,576,468,276,118,619,797,955,600,086,143,951,110,679,
567,755,418,410,351,373,455,465,137,446,899,211,386,461,847,261,582,535,023,
435,146,627,747,171,675,448,873,395,922,784,400,323,156,524,299,459,819,758,
440,004,781,920,510,385,622,010,818,317,548,387,666,068,827,325,812,453,554,
223,057,815,327,543,695,508,892,873,263,123,977,148,297,431,960,090,506,155,
084,107,865,217,205,167,443,810,254,121,525,283,489,494,016,237,044,787,816,
162,305,058,238,487,411,236,840,865,783,209,588,410,232,984,525,249,939,867,
949,333,277,342,620,149,699,536,919,804,674,102,875,840,148,283,808,176,233,
404,833,747,335,720,469,513,219,832,910,383,022,904,673,339,374,115,432,402,
430,803,227,252,133,832,004,871,879,997,965,811,401,993,863,477,386,754,436,
844,050,925,032,409,831,644,799,335,843,917,724,601,652,287,400,920,518,604,
332,899,838,283,478,185,467,894,547,382,571,541,808,203,515,127,094,849,470,
648,775,688,974,170,634,012,279,648,657,744,384,632,261,311,964,599,540,649,
670,721,005,743,884,878,693,069,695,731,380,002,978,791,566,356,692,101,702,
937,281,755,879,211,026,499,553,717,258,832,346,727,359,561,651,599,131,054,
629,751,451,429,647,857,822,119,176,707,769,476,547,937,520,574,294,171,813,
294,686,028,674,575,328,328,799,760,985,826,867,585,167,601,063,794,159,019,
332,747,355,997,204,978,878,677,615,439,323,044,941,634,019,784,507,457,553,
924,469,000,693,604,420,219,635,113,966,492,708,810,350,295,265,585,143,919,
335,623,545,561,908,528,341,348,379,986,047,287,640,914,442,575,462,728,771,
297,180,683,738,143,625,949,380,342,462,043,505,047,195,083,223,974,897,323,
980,883,795,224,113,595,876,534,104,057,407,745,793,160,010,338,842,701,357,
325,125,488,553,784,545,012,661,685,086,434,499,837,821,305,220,907,634,898,
319,997,305,979,102,018,937,703,105,996,144,266,124,621,335,351,148,864,260,
681,454,698,840,754,758,756,398,816,265,697,324,898,957,283,481,286,599,193,
032,978,458,763,449,167,599,743,939,633,873,127,266,852,123,271,326,452,129,
385,669,776,938,277,633,448,036,758,104,105,027,270,863,747,697,792,172,369,
162,831,202,904,134,416,292,441,064,070,826,971,135,356,137,958,865,503,246,
751,772,303,474,042,113,325,743,724,914,210,188,474,114,952,470,984,949,995,
969,467,993,891,212,017,958,756,602,249,064,546,132,012,136,740,698,431,947,
571,498,130,102,575,745,932,323,582,709,275,405,351,617,521,492,968,715,391,
773,354,167,881,752,607,478,804,858,768,352,339,468,395,389,692,515,253,378,
856,489,932,347,617,217,410,045,947,647,772,379,867,236,331,850,373,563,621,
921,672,743,624,406,928,913,129,405,304,568,004,341,756,768,439,478,544,166,
834,617,479,118,770,516,216,351,692,203,453,923,454,744,786,337,478,840,450,
167,283,922,267,913,599,600,024,384,644,847,648,693,450,260,702,702,256,941,
913,899,230,831,057,959,222,752,735,175,274,472,875,829,958,597,817,258,818,
181,109,402,098,258,959,048,546,633,442,467,942,353,513,156,119,777,670,770,
465,995,589,406,058,812,680,063,778,161,775,030,983,680,043,829,613,578,925,
124,394,739,924,119,487,517,387,812,625,782,365,985,373,209,870,859,182,691,
494,602,060,641,175,952,944,577,438,931,779,975,742,213,455,708,656,507,093,
330,017,642,088,682,914,200,711,931,818,986,574,996,108,505,703,145,095,794,
505,656,350,524,699,365,571,720,091,301,529,767,647,283,472,028,291,082,193,
875,054,529,871,571,018,571,517,077,385,830,161,890,354,593,001,713,200,579,
906,610,522,805,870,320,701,397,131,964,281,808,323,547,589,814,880,316,103,
735,146,570,175,847,746,287,071,223,294,918,684,054,471,315,109,135,321,368,
960,345,760,200,469,931,460,049,369,051,925,924,331,908,276,375,310,097,680,
099,289,433,869,777,729,172,675,027,021,392,261,336,318,375,996,566,784,595,
611,768,794,704,100,697,594,349,556,863,094,210,955,877,142,787,317,086,150,
627,666,584,620,941,657,190,454,447,142,748,444,785,973,303,008,749,010,521,
181,659,109,835,428,784,842,530,823,125,995,946,394,336,163,404,076,300,978,
533,060,021,925,229,002,717,797,322,097,586,493,889,835,938,441,239,661,782,
648,308,158,230,448,788,999,831,702,512,048,117,523,211,635,239,605,387,683,
986,845,918,720,033,755,197,759,278,567,852,113,027,496,523,245,800,680,031,
114,909,916,678,226,033,275,887,041,985,674,141,029,228,022,195,013,581,067,
090,600,201,559,072,401,938,617,236,531,566,381,015,265,505,201,492,597,845,
333,619,863,611,679,294,216,470,903,115,866,690,380,840,612,841,211,171,894,
037,419,549,857,672,410,182,300,872,189,287,956,470,036,332,292,767,045,945,
155,326,486,040,070,715,908,271,810,584,509,575,637,790,599,256,869,918,325,
775,931,882,604,878,843,003,911,066,432,955,440,410,091,491,002,347,503,994,
408,807,273,749,063,996,010,903,621,091,216,248,105,981,798,383,981,941,149,
598,292,594,833,484,654,342,259,376,617,245,050,131,594,837,119,131,793,000,
424,035,481,622,922,763,287,123,938,499,167,171,920,717,823,468,876,436,024,
042,746,157,420,005,359,313,285,678,655,752,959,810,754,293,871,567,731,624,
950,029,918,133,175,388,385,225,947,085,207,396,346,619,892,939,771,401,603,
048,661,804,499,143,183,430,344,965,869,207,835,260,625,512,868,940,247,822,
214,926,570,843,964,313,057,756,762,928,517,712,860,118,316,385,611,670,797,
720,053,390,261,363,471,454,031,989,269,178,971,996,981,286,705,017,977,565,
288,486,164,516,973,079,518,024,201,103,977,105,937,091,883,042,260,605,674,
636,854,722,265,565,837,974,439,738,527,806,730,315,073,079,517,232,446,797,
997,650,427,196,737,954,932,590,350,359,324,076,888,240,175,616,702,468,654,
326,496,194,354,924,169,152,128,574,733,674,099,691,993,859,528,693,870,828,
903,743,267,548,996,236,609,671,513,418,616,703,358,632,619,549,422,559,747,
428,913,896,402,405,621,144,185,269,449,510,033,045,556,933,175,912,355,304,
872,319,877,228,032,491,750,743,074,623,691,861,248,554,757,946,143,809,454,
266,570,188,563,638,835,401,920,902,645,471,016,583,868,945,099,804,730,489,
011,323,184,382,965,525,522,545,576,666,848,114,184,831,199,641,529,523,739,
140,121,617,992,756,731,252,342,217,281,897,436,910,484,490,465,284,978,895,
060,641,648,754,991,316,053,403,790,934,478,412,725,887,622,838,448,591,359,
782,203,691,003,737,538,532,348,536,316,010,732,566,736,619,653,912,317,497,
432,011,858,686,070,707,912,838,142,672,649,099,010,749,618,310,770,586,589,
119,222,433,203,253,266,547,479,856,810,271,910,721,842,979,328,525,925,910,
843,298,656,310,467,788,852,701,633,169,928,006,769,178,004,115,229,042,886,
613,583,816,633,988,010,450,118,131,700,963,042,104,271,124,926,557,776,976,
926,207,788,821,267,263,297,018,677,145,405,734,465,090,778,683,330,843,845,
404,152,848,056,304,969,281,692,110,668,976,400,859,310,757,527,579,888,759,
867,469,939,759,008,925,837,088,112,472,725,050,860,898,131,708,215,905,772,
762,949,990,109,200,228,539,180,416,017,354,237,751,439,582,918,104,466,172,
044,226,209,090,630,228,580,683,986,452,967,578,132,720,031,370,166,504,620,
219,975,853,548,808,490,480,634,386,506,636,052,722,559,512,787,363,370,453,
482,671,022,077,858,479,603,498,262,631,999,951,926,616,095,239,928,442,052,
452,347,674,113,572,924,423,382,942,979,632,257,642,941,763,320,702,406,959,
691,024,145,504,245,076,039,029,023,740,146,334,656,129,599,983,245,539,809,
527,821,948,608,113,898,626,260,386,623,542,733,178,772,022,424,297,545,884,
364,068,995,600,475,251,491,850,914,118,782,593,867,454,459,295,788,021,316,
084,011,323,540,175,012,465,415,142,087,893,360,814,127,502,324,390,686,277,
925,064,309,461,318,856,526,627,344,674,230,297,385,255,248,485,554,634,904,
699,665,531,689,674,341,949,473,040,751,846,164,901,221,937,620,952,043,547,
010,821,415,062,282,909,016,696,779,764,738,957,383,537,187,828,478,345,988,
629,467,784,614,097,275,533,506,004,414,888,298,002,214,386,390,941,919,070,
046,666,069,320,564,055,349,361,631,754,497,590,033,703,933,915,748,931,897,
503,512,003,839,681,325,131,450,391,863,562,668,246,423,634,346,643,128,041,
030,388,403,518,256,518,046,807,102,394,695,876,140,090,149,495,175,300,525,
949,284,295,119,730,146,431,554,858,200,841,705,814,883,457,113,636,994,174,
901,592,470,919,565,319,663,444,536,698,891,874,177,322,311,894,994,003,995,
743,436,798,775,301,769,343,088,377,639,012,653,612,723,461,967,553,399,096,
285,387,158,986,541,196,148,472,585,903,838,911,212,956,061,983,644,475,756,
792,884,625,032,394,431,749,183,851,220,306,941,471,328,230,081,294,108,867,
205,398,166,069,251,819,380,387,274,057,558,166,244,921,376,435,569,741,836,
151,291,909,549,445,622,065,060,645,268,931,924,576,921,124,909,036,918,100,
508,281,871,202,570,780,503,359,252,768,350,669,252,071,533,457,199,218,835,
027,515,299,721,670,897,827,435,142,230,374,976,901,689,495,863,353,392,378,
770,288,327,038,685,485,615,520,102,848,625,843,451,219,494,962,590,426,693,
970,678,528,143,534,173,374,529,062,649,094,427,212,295,334,580,039,152,930,
877,243,924,893,627,006,639,027,154,388,835,676,279,469,474,991,296,326,922,
909,623,742,147,637,697,617,861,918,576,796,374,055,657,769,274,545,715,809,
692,228,330,053,307,947,777,736,520,538,432,066,242,686,624,306,807,358,337,
956,872,276,159,201,388,844,696,945,205,624,584,649,607,498,577,737,433,754,
079,223,322,862,380,329,964,204,637,858,544,031,796,276,621,091,134,266,844,
288,939,905,017,127,905,757,638,781,083,716,227,410,920,278,439,127,967,522,
091,344,139,571,624,511,588,733,338,572,519,550,051,568,586,585,390,126,350,
415,285,273,261,366,311,634,667,958,639,706,099,481,989,804,994,432,927,560,
420,476,045,926,042,477,281,741,247,642,653,229,363,976,631,277,970,004,716,
909,796,469,200,876,538,199,456,641,900,739,334,268,284,550,375,399,622,393,
695,497,678,174,508,636,221,649,945,351,267,592,247,260,624,330,865,926,423,
932,904,743,636,630,852,615,510,085,315,627,815,194,046,227,369,327,049,478,
873,403,474,487,736,740,185,925,068,892,799,861,780,030,229,650,849,267,371,
317,300,487,561,336,649,211,074,426,277,904,149,080,852,878,035,668,747,578,
535,085,874,584,811,073,458,068,656,068,603,209,099,336,832,553,243,131,386,
524,288,965,333,945,216,316,666,971,399,736,377,824,471,517,798,740,179,379,
695,115,774,679,503,229,273,880,084,012,547,475,905,083,073,483,528,600,551,
664,309,130,333,836,944,426,479,816,415,256,570,557,231,907,130,176,352,735,
499,583,482,094,382,590,087,143,536,468,888,856,713,693,502,782,923,803,318,
599,488,457,983,230,387,661,658,385,553,754,379,736,126,888,264,903,795,944,
355,079,965,035,491,786,781,471,697,945,392,849,848,945,715,486,328,277,211,
095,973,800,171,199,212,168,788,068,617,842,703,964,231,537,600,880,847,770,
017,798,528,198,577,572,819,490,802,344,979,396,282,550,330,303,983,891,636,
099,320,811,200,057,076,810,793,499,744,770,614,434,039,782,929,849,595,550,
052,948,480,430,258,670,700,213,561,375,676,948,717,157,433,276,389,425,968,
652,541,094,252,874,334,954,247,391,341,382,944,847,965,476,870,487,074,858,
923,336,003,040,224,738,697,753,104,349,472,512,016,254,867,410,914,726,255,
234,259,288,469,997,121,320,990,509,848,416,836,472,737,202,362,740,495,129,
830,990,996,327,034,348,283,978,547,476,103,678,822,323,042,056,918,756,835,
419,848,504,568,776,223,364,082,907,258,289,780,820,898,642,447,413,126,067,
557,496,267,552,956,683,120,886,673,579,153,283,019,346,329,396,370,945,593,
349,859,586,028,446,260,509,351,123,101,447,271,288,026,332,392,104,311,915,
923,984,603,185,089,924,298,901,860,897,789,948,491,367,402,299,304,538,943,
903,316,508,616,979,492,819,689,142,071,989,133,532,791,244,135,434,651,213,
569,331,661,477,829,799,066,280,613,247,596,909,451,633,356,959,046,449,770,
444,164,817,265,493,863,592,358,263,495,373,492,423,883,903,449,800,405,928,
366,865,999,904,089,109,010,131,181,993,554,926,468,389,821,236,516,486,496,
483,958,923,593,612,366,303,771,412,943,454,712,520,567,554,926,788,416,084,
571,148,709,576,147,673,403,800,534,002,446,920,454,197,145,307,857,944,151,
849,604,375,913,537,963,899,665,295,503,213,569,296,068,071,684,145,872,526,
606,608,916,388,615,677,907,054,890,020,602,096,488,309,314,048,485,250,443,
152,424,118,940,766,840,689,556,792,204,797,725,115,395,711,428,800,030,644,
402,288,320,222,094,998,236,445,945,369,570,803,447,544,901,057,668,147,105,
559,706,896,225,965,062,790,948,956,905,348,726,546,216,804,670,260,382,388,
985,652,520,843,198,712,234,078,758,360,050,341,916,905,716,315,307,629,675,
376,456,473,664,600,656,724,238,387,533,510,651,649,634,948,139,797,414,380,
092,133,296,820,957,420,198,828,042,975,118,182,631,925,601,204,822,503,333,
867,155,988,417,308,384,822,638,139,200,967,809,800,943,801,130,421,543,681,
111,012,021,517,105,578,100,251,386,670,291,226,652,109,691,316,480,075,000,
376,737,489,939,788,054,212,248,222,297,352,162,673,167,800,876,069,595,147,
366,988,088,057,087,987,514,290,518,331,711,701,479,118,522,199,105,055,213,
055,710,258,794,667,161,437,412,016,218,562,595,259,909,447,305,538,218,107,
147,354,528,661,581,956,434,103,916,034,676,881,669,973,555,525,749,138,165,
149,376,590,675,024,388,726,463,098,266,817,804,604,918,626,153,388,877,628,
364,220,613,517,998,591,380,563,138,059,457,924,085,643,696,393,509,504,743,
683,400,190,521,702,069,308,727,595,125,212,453,541,381,059,004,195,023,575,
881,073,332,851,715,104,302,827,407,209,444,626,110,930,846,133,575,108,792,
627,800,661,295,186,073,604,917,320,605,021,361,663,070,308,698,957,925,636,
159,711,885,251,430,904,222,683,637,044,381,343,026,580,213,877,793,394,968,
209,029,741,301,708,493,521,214,078,128,164,533,524,162,711,441,338,926,055,
732,845,651,609,858,934,412,457,638,455,278,230,219,790,046,224,647,486,274,
258,950,211,941,975,664,257,993,042,846,389,475,388,427,108,487,466,035,160,
844,010,918,901,935,151,339,339,464,365,843,498,486,737,158,587,495,913,521,
140,247,521,901,289,524,031,354,667,602,283,737,705,756,802,715,627,173,012,
259,559,000,431,706,104,988,152,529,931,743,838,879,949,648,584,576,058,655,
321,507,121,178,383,499,979,221,594,076,903,934,088,323,746,909,293,071,037,
122,562,592,623,349,134,430,189,592,527,672,470,428,889,145,479,728,493,503,
250,219,599,642,740,285,189,116,788,165,114,095,767,672,431,171,134,027,830,
223,918,052,613,274,160,928,734,038,539,375,147,597,700,737,933,994,453,469,
920,113,623,387,753,710,799,508,005,269,993,951,887,879,892,449,475,390,719,
890,788,002,307,650,552,726,207,888,828,107,425,142,943,361,957,695,679,859,
309,678,476,562,704,917,236,837,438,496,490,593,089,779,556,431,261,625,277,
503,732,276,519,829,632,356,368,570,480,257,298,034,948,969,997,048,633,204,
520,082,949,363,194,928,676,983,251,846,448,242,638,305,452,569,194,859,865,
518,764,744,902,680,651,559,332,010,304,030,876,495,224,930,266,306,579,256,
355,908,217,727,054,281,257,806,859,372,624,086,278,823,177,456,674,137,342,
913,927,537,849,170,319,223,437,579,775,160,126,077,767,204,260,238,958,393,
634,942,736,844,452,163,860,915,257,694,108,882,811,049,730,588,052,945,491,
759,217,699,919,722,091,548,786,650,731,058,811,310,777,611,224,620,588,925,
755,881,934,935,009,428,746,156,569,349,263,116,081,415,192,170,997,155,612,
108,985,962,404,851,562,353,554,832,481,451,771,890,987,160,957,963,829,353,
093,957,441,716,467,227,725,557,723,587,480,947,674,375,325,311,805,531,821,
957,141,210,957,601,238,589,866,576,031,152,712,263,288,786,431,914,879,998,
626,610,349,450,000,518,972,992,245,530,281,094,068,271,313,550,103,303,451,
515,908,991,063,850,363,052,899,557,506,077,784,873,964,162,550,534,417,446,
556,206,868,535,599,013,991,139,378,717,894,160,872,671,569,097,182,490,765,
192,752,650,935,978,479,986,217,706,624,028,323,987,834,938,850,057,456,273,
937,488,023,530,763,345,025,429,832,176,309,364,174,231,777,950,930,831,555,
745,629,235,361,481,165,567,610,105,128,738,045,017,291,415,781,772,325,244,
529,851,495,911,920,921,574,977,266,308,192,264,295,501,308,138,293,277,100,
966,576,364,662,805,425,890,076,061,192,944,791,206,922,262,653,643,147,022,
373,809,834,406,024,376,262,987,430,925,435,908,375,737,069,825,770,845,431,
974,652,184,986,786,991,810,554,825,590,278,229,861,576,549,023,116,609,296,
944,535,122,713,402,279,936,509,056,287,367,124,060,916,213,602,856,850,653,
138,691,479,354,848,132,242,281,658,616,512,565,847,607,475,303,625,800,260,
026,961,608,636,199,422,114,746,689,692,693,382,721,107,324,468,204,599,662,
620,910,609,406,451,660,195,535,140,068,713,408,692,129,575,059,858,421,069,
337,483,100,725,724,250,890,041,864,013,030,650,515,167,025,557,752,298,437,
611,833,942,611,186,802,219,975,756,209,746,637,006,619,559,206,826,083,326,
547,046,601,024,884,918,415,050,134,607,820,203,392,880,246,999,721,200,056,
391,388,245,027,349,784,815,388,654,145,365,607,802,912,411,725,351,356,708,
661,815,559,237,847,980,367,035,376,308,719,840,745,200,104,889,193,978,768,
709,240,491,167,802,532,180,956,377,602,263,153,087,227,197,647,120,297,170,
571,774,937,638,192,179,664,805,654,505,915,060,424,401,720,476,468,524,862,
321,724,090,808,588,209,819,627,209,982,653,724,719,320,891,150,568,387,156,
875,159,925,698,409,426,257,290,513,905,332,185,886,364,380,921,763,650,758,
778,289,542,439,467,836,170,498,156,362,730,084,980,120,761,229,019,485,501,
301,127,526,098,922,362,617,803,115,318,261,352,716,348,425,007,583,635,012,
849,422,722,532,977,189,131,921,018,231,381,883,939,488,243,302,360,132,709,
025,705,437,513,569,601,864,537,169,506,229,164,731,785,336,319,984,491,988,
971,986,180,149,188,603,747,741,978,436,010,919,125,250,663,515,289,717,317,
906,316,591,436,441,027,211,636,115,366,434,223,437,042,707,260,862,874,082,
179,433,821,515,662,862,661,833,169,882,601,543,184,392,203,026,251,478,769,
951,275,464,616,972,149,725,950,149,005,176,664,264,518,198,817,583,151,399,
594,411,585,367,196,531,732,536,496,708,126,910,365,489,675,299,681,403,169,
836,900,349,183,845,991,812,609,089,837,481,607,686,824,056,419,364,535,619,
083,711,932,673,220,002,261,954,934,253,158,792,175,220,134,044,906,180,648,
649,919,982,425,821,815,700,885,966,581,420,694,531,914,021,579,136,883,576,
729,215,912,656,760,964,929,322,041,196,815,334,839,117,250,908,799,834,685,
882,031,575,932,948,876,219,025,646,662,994,773,774,600,450,417,623,237,151,
552,541,560,528,441,746,340,559,158,138,578,424,014,159,396,945,404,714,288,
140,551,292,484,995,142,157,985,027,042,345,366,730,052,698,263,328,577,498,
671,318,539,400,210,587,356,342,521,725,472,592,820,379,047,915,752,361,666,
590,562,009,645,357,999,589,452,385,078,764,097,047,217,530,231,208,883,874,
665,839,202,397,333,349,847,393,088,392,902,611,884,632,866,001,655,959,732,
927,273,020,084,846,059,138,119,673,180,869,615,361,347,993,500,201,972,756,
863,655,866,626,436,826,989,281,217,227,514,037,769,661,628,207,952,656,122,
057,644,715,594,769,103,424,074,061,017,426,661,159,974,225,856,478,300,782,
790,887,707,587,194,652,369,800,685,558,082,312,414,495,682,270,634,616,361,
393,270,727,010,566,237,412,741,758,287,874,383,554,017,213,327,332,725,051,
845,981,458,529,838,763,207,709,996,128,213,053,735,821,042,937,169,844,782,
882,707,339,002,881,986,575,549,420,154,885,840,415,145,429,883,708,551,573,
548,339,088,000,793,146,579,938,921,634,931,483,461,559,673,661,038,392,288,
582,801,928,848,296,516,404,092,716,584,643,197,993,470,913,754,789,138,835,
788,337,516,294,505,416,774,733,209,073,758,129,542,441,671,178,833,176,008,
317,503,758,189,585,448,430,578,045,093,178,577,975,147,410,540,064,662,848,
884,496,656,536,521,064,453,886,314,126,616,544,300,121,670,135,600,488,166,
321,823,105,326,923,016,998,836,612,948,291,987,920,028,619,621,785,890,869,
103,969,210,584,911,128,412,637,055,056,791,745,460,427,485,283,416,475,861,
546,994,858,892,898,626,097,468,342,590,107,919,044,064,970,735,918,553,651,
950,768,272,613,508,840,916,232,677,516,176,684,149,313,210,612,769,754,537,
119,434,545,636,453,102,811,177,082,996,401,172,698,309,968,662,711,783,334,
393,378,380,068,784,188,218,111,095,985,619,401,739,346,841,413,948,277,064,
861,115,799,663,000,732,670,381,478,455,682,894,208,616,806,371,812,519,684,
763,867,112,639,959,922,627,905,943,354,413,942,329,535,224,061,754,600,749,
386,086,859,101,081,050,444,976,714,654,511,624,563,576,287,176,798,885,809,
919,025,028,294,179,157,500,818,517,250,278,592,518,101,735,195,931,963,176,
483,354,953,528,796,405,350,651,345,439,587,967,453,077,481,841,148,941,043,
830,741,246,066,141,617,632,773,656,066,629,991,142,512,721,028,225,291,020,
846,402,205,762,453,259,152,271,888,885,777,037,410,906,993,634,028,465,882,
679,910,116,973,455,900,339,612,350,255,935,817,142,625,167,610,138,918,922,
224,467,873,047,508,549,486,106,763,644,643,672,164,354,035,290,816,317,424,
811,957,196,625,583,205,065,504,483,247,619,456,421,319,651,640,932,922,080,
645,464,625,642,438,545,803,108,442,416,684,268,114,085,557,111,490,998,437,
327,732,908,419,453,925,768,893,328,653,355,453,360,073,024,469,048,395,779,
927,614,425,495,775,864,925,495,622,586,097,815,517,251,687,572,094,608,377,
110,272,563,275,965,510,521,096,550,951,154,780,228,332,846,590,489,465,666,
288,761,318,735,294,209,376,494,559,130,229,568,039,531,853,592,145,594,275,
911,225,913,950,438,287,018,390,579,871,725,689,086,366,847,509,325,875,339,
259,474,165,617,170,903,837,126,167,965,400,166,537,944,718,996,728,438,257,
475,795,759,559,685,053,411,310,371,944,797,446,538,521,629,492,811,745,672,
556,740,639,202,638,387,405,611,144,727,888,090,480,360,606,952,640,675,684,
924,205,579,886,160,134,304,786,580,258,444,154,143,975,434,696,091,286,107,
181,428,890,644,878,250,510,188,292,618,250,606,555,079,517,952,651,080,395,
240,131,589,449,010,681,100,704,379,422,369,517,521,042,371,152,252,564,872,
541,069,947,266,373,572,686,757,536,837,245,808,174,530,816,980,521,977,531,
353,255,547,085,664,794,255,704,814,141,643,171,865,616,213,234,236,803,603,
782,423,048,754,243,075,577,532,161,333,642,168,075,380,410,262,419,045,845,
770,049,939,822,022,451,495,782,567,440,768,603,099,562,453,705,281,725,414,
263,345,365,198,065,671,565,897,615,751,172,536,348,467,464,109,800,835,089,
199,272,978,396,442,613,156,168,853,566,001,966,295,884,064,001,660,078,000,
259,751,057,900,948,879,140,289,268,005,337,805,573,310,728,566,858,039,151,
188,743,694,555,267,104,947,309,201,770,201,658,662,477,425,077,730,959,002,
594,527,327,235,611,154,154,652,714,966,434,240,195,725,008,720,997,467,356,
422,912,715,947,528,455,090,665,296,233,327,036,736,995,618,410,282,749,008,
230,704,251,942,235,240,147,491,942,662,650,500,973,041,654,033,459,989,314,
773,294,646,370,078,109,969,597,919,442,052,950,737,092,622,284,561,514,967,
833,154,497,553,528,921,203,633,440,993,570,287,427,133,962,336,649,471,643,
615,207,297,067,675,025,832,626,635,402,026,720,071,130,184,506,210,659,713,
632,067,734,135,852,135,622,627,231,925,085,720,991,995,594,941,250,262,456,
954,525,662,998,066,097,107,475,608,786,386,616,444,294,645,839,817,437,454,
578,602,275,499,877,422,825,730,851,204,755,309,740,289,669,310,372,269,050,
541,381,802,615,851,715,801,314,764,287,518,256,406,230,924,492,546,284,101,
666,984,610,413,833,937,951,058,725,992,769,279,243,774,428,649,383,539,472,
972,906,767,805,151,641,039,836,694,254,982,351,182,834,438,037,718,868,798,
793,850,150,541,822,588,129,405,161,674,144,335,211,800,344,585,726,623,509,
241,253,626,119,140,714,178,690,349,004,452,926,931,664,072,952,422,943,423,
709,790,492,096,570,430,415,422,146,359,606,035,776,703,748,625,569,994,095,
194,546,538,116,123,611,322,419,347,347,347,496,472,338,583,670,487,184,566,
551,048,571,647,963,608,528,604,787,835,101,388,978,333,419,603,805,824,757,
510,051,892,714,755,698,108,701,344,897,370,123,928,488,452,726,830,806,352,
802,303,006,666,563,254,855,798,631,598,315,917,871,572,594,470,855,339,398,
081,605,802,463,891,199,226,519,363,227,760,464,546,478,474,803,067,929,154,
594,037,909,616,862,008,173,134,671,636,536,841,388,514,550,420,653,773,003,
213,430,759,724,627,648,274,502,677,487,254,496,745,938,520,776,426,425,051,
140,754,863,321,905,038,693,474,026,251,203,024,212,133,666,815,291,320,445,
095,637,899,517,155,028,943,752,573,579,180,327,963,798,039,161,389,322,611,
961,374,674,602,802,468,444,330,963,299,915,866,643,909,915,123,361,220,307,
236,895,206,713,682,884,412,747,379,602,597,211,006,694,178,340,178,352,734,
404,373,447,628,390,007,451,538,830,519,254,821,166,668,091,357,267,274,301,
082,109,608,279,824,365,878,420,151,088,954,723,820,985,958,896,951,285,956,
549,563,422,795,543,123,194,383,112,422,288,486,917,188,542,354,797,440,051,
502,240,383,496,318,238,881,360,281,240,289,161,365,812,732,872,278,016,961,
133,511,447,144,160,288,294,381,850,610,984,088,242,097,500,142,486,535,248,
107,564,801,434,398,105,108,432,063,677,330,186,303,982,698,439,638,242,384,
777,524,723,578,340,780,087,787,478,396,841,262,123,353,524,830,166,658,827,
821,516,741,529,456,154,723,291,072,766,745,278,581,114,577,798,644,846,992,
401,161,271,701,974,864,283,272,705,542,981,741,305,645,540,024,961,216,572,
482,264,078,084,990,527,701,685,100,002,656,468,377,535,744,428,629,739,184,
782,342,993,898,109,781,427,758,594,435,067,995,269,721,558,274,138,265,216,
331,927,690,894,542,673,987,440,470,332,068,826,968,847,071,925,326,221,127,
880,992,384,212,756,331,986,510,670,425,465,178,279,193,472,056,801,865,927,
526,328,037,477,399,276,811,913,305,638,364,415,524,193,368,621,810,106,250,
536,767,323,182,320,853,634,008,411,354,945,645,157,695,557,955,426,226,612,
669,792,985,832,522,464,898,456,629,217,884,810,081,444,596,537,065,653,389,
722,441,723,280,110,983,964,148,528,451,702,908,263,717,184,335,251,281,525,
479,879,324,074,773,085,006,225,803,171,822,846,525,951,054,845,488,861,528,
667,461,825,462,843,096,064,660,338,028,406,963,184,768,245,647,266,126,457,
962,460,507,319,395,642,190,852,347,609,286,129,316,893,152,873,777,383,456,
968,190,666,997,842,761,772,588,162,301,945,301,724,593,124,477,577,844,372,
775,199,978,242,885,068,443,676,421,536,975,409,719,423,979,851,530,428,796,
346,520,678,880,039,309,063,398,877,115,610,075,962,370,933,714,176,375,966,
212,532,006,469,072,166,984,709,789,525,955,772,891,397,786,396,992,983,447,
287,915,477,337,440,394,270,674,329,362,914,205,253,231,345,138,713,030,077,
804,220,942,583,376,465,920,124,422,004,664,276,571,669,054,181,609,248,526,
919,782,474,785,324,261,212,768,469,397,333,474,064,229,285,312,839,589,044,
777,733,437,477,580,741,934,279,865,276,188,961,429,887,167,380,867,729,276,
790,065,216,120,473,119,502,345,809,131,370,310,741,558,366,685,859,968,900,
819,492,866,462,709,694,011,339,485,858,019,176,096,400,330,122,516,455,602,
452,658,158,100,305,837,156,024,818,996,891,206,602,904,207,599,174,646,462,
411,178,080,627,089,630,865,208,880,021,003,035,138,380,989,061,504,593,229,
472,813,185,643,409,141,921,571,243,426,751,835,051,178,988,586,389,654,415,
123,881,642,406,815,208,532,487,316,689,504,418,584,043,574,888,510,958,669,
998,233,057,668,579,489,122,839,350,507,001,680,238,992,969,411,957,136,700,
279,256,290,273,399,267,211,933,773,026,846,655,779,582,083,266,953,504,579,
957,748,371,664,520,361,926,730,168,946,889,069,501,638,448,222,972,865,962,
385,902,816,990,966,302,602,322,757,528,916,372,635,481,658,051,550,966,095,
860,086,969,691,387,876,048,198,025,894,041,241,164,726,791,771,965,339,981,
961,796,965,409,425,187,617,967,063,370,106,268,136,781,966,949,362,759,229,
806,930,242,469,561,573,059,457,743,007,768,305,718,386,204,610,293,308,744,
350,021,082,049,674,918,369,931,487,761,421,057,643,541,683,783,392,833,898,
944,786,574,665,638,210,644,699,570,318,561,201,737,347,623,092,957,446,118,
736,475,029,435,999,936,053,388,133,423,917,718,604,484,611,179,517,999,595,
043,725,116,794,423,792,343,921,531,126,153,917,267,739,434,769,959,607,283,
805,504,815,311,714,572,418,589,969,566,465,144,760,998,807,391,120,040,345,
259,266,778,282,880,220,110,882,573,469,256,928,253,082,156,801,376,259,888,
892,508,145,181,478,287,324,833,914,637,542,286,501,498,166,695,019,001,209,
815,805,007,080,348,503,237,896,932,103,814,757,119,379,430,468,558,790,512,
513,794,753,924,645,211,551,988,324,923,546,987,115,209,798,869,289,422,342,
806,721,214,837,383,027,300,382,360,004,504,936,457,234,540,209,588,254,548,
138,414,362,623,856,802,953,300,306,375,108,213,651,391,762,886,941,227,494,
496,422,930,697,515,752,919,126,433,796,291,798,056,439,316,440,361,134,714,
291,444,008,509,028,401,209,697,655,355,806,264,738,091,524,301,018,414,373,
076,832,235,589,646,291,073,339,850,417,051,306,131,236,407,662,622,279,541,
548,284,728,533,372,823,257,970,988,629,277,878,410,189,736,411,510,925,789,
316,577,509,774,210,962,928,512,581,868,823,073,704,401,983,656,329,876,122,
912,968,727,280,750,294,338,553,673,868,801,399,570,042,187,889,112,409,957,
087,308,656,617,458,535,038,422,935,814,699,745,276,815,913,925,696,621,502,
307,148,817,010,753,996,393,622,429,720,110,111,075,353,582,411,670,960,729,
479,483,225,732,281,609,401,210,705,577,224,601,837,440,826,773,349,858,012,
580,700,449,314,994,631,917,011,819,783,275,813,912,276,271,066,384,121,518,
718,994,445,962,909,820,845,176,847,768,808,849,210,447,425,721,575,836,058,
687,902,803,114,201,488,455,226,716,553,637,387,003,773,488,415,477,764,404,
105,789,428,773,922,692,080,695,286,403,603,959,572,971,182,425,527,853,989,
757,526,478,336,320,714,991,755,742,945,376,412,643,803,535,390,191,861,750,
738,606,067,164,741,604,227,726,616,824,740,029,923,421,705,449,751,486,910,
474,288,538,323,343,446,796,175,196,862,614,485,174,296,093,630,285,104,394,
778,430,481,771,736,492,928,882,100,967,059,719,182,001,240,862,005,080,579,
098,068,925,334,889,801,645,259,145,321,228,709,027,542,289,152,041,913,568,
720,328,507,686,360,291,159,450,723,085,319,154,220,514,735,314,395,634,686,
038,289,728,556,321,496,062,389,520,377,060,900,742,760,265,441,494,813,826,
991,215,352,793,311,963,142,973,133,372,480,563,840,940,628,528,905,414,529,
228,114,942,628,042,540,766,914,660,278,565,845,330,234,172,638,705,399,778,
691,553,333,077,327,672,746,164,074,997,391,709,202,916,587,362,255,607,338,
478,582,929,022,812,210,059,960,278,202,472,060,311,043,813,415,891,744,561,
148,989,902,567,684,564,198,954,201,064,048,973,315,185,099,218,734,754,752,
132,147,653,933,269,603,271,635,935,744,404,104,324,454,612,530,651,264,636,
288,585,582,958,008,303,413,597,903,507,880,231,321,003,085,953,705,846,241,
974,627,885,658,580,797,529,836,448,493,264,890,213,265,311,158,011,222,561,
079,145,336,041,245,502,145,061,119,660,623,929,967,940,332,079,085,861,472,
602,617,665,029,374,084,572,400,868,461,348,278,731,555,286,458,453,145,064,
057,170,815,212,730,123,374,776,814,233,582,071,623,908,632,312,008,282,130,
244,751,969,997,411,677,929,980,225,526,551,358,514,821,560,880,744,082,975,
168,484,608,064,255,241,334,598,263,264,257,408,758,266,700,909,706,603,820,
785,366,237,937,582,558,273,156,262,613,076,973,070,174,523,177,788,163,668,
717,657,205,848,237,891,804,919,350,362,501,799,114,924,494,458,557,760,172,
075,546,300,959,226,442,539,562,359,278,574,767,802,093,979,492,528,732,230,
417,536,862,458,218,446,840,129,370,024,726,141,840,899,137,935,501,232,399,
669,144,786,850,443,239,221,024,643,215,883,662,594,247,220,054,119,899,646,
060,486,932,528,858,611,931,493,353,620,793,374,068,589,570,286,741,720,375,
758,467,960,152,086,892,203,444,763,772,829,112,951,485,607,387,441,353,179,
629,637,088,676,085,465,590,092,670,225,220,536,669,401,850,857,535,142,929,
284,432,454,467,397,584,724,992,889,952,736,093,196,969,188,772,212,479,059,
082,335,623,922,164,954,398,058,760,300,141,692,351,208,563,812,169,587,336,
565,693,458,809,878,260,455,394,258,149,020,259,505,396,240,256,657,236,304,
791,055,083,511,701,140,493,959,339,362,143,304,200,397,986,057,781,567,567,
005,808,256,861,460,101,329,274,603,139,720,293,003,069,867,119,848,518,872,
773,193,438,772,006,239,724,334,205,006,519,680,538,781,134,837,164,119,435,
744,799,254,068,602,913,471,432,890,053,284,459,337,222,107,548,263,327,221,
962,669,928,020,554,065,562,887,226,468,954,636,817,289,377,011,590,007,617,
933,837,584,566,543,291,701,574,323,405,899,046,490,138,319,881,299,699,189,
251,542,272,614,858,469,055,534,968,604,850,328,117,122,060,011,334,720,649,
749,441,609,457,131,709,588,099,831,662,614,052,883,511,044,056,804,797,144,
740,961,428,961,791,838,658,797,959,162,435,170,119,959,030,657,180,946,192,
426,441,767,440,108,001,996,964,453,529,604,348,024,204,075,796,413,633,491,
178,647,333,005,146,126,087,734,486,615,245,060,636,593,955,330,782,754,181,
493,392,829,312,395,017,431,811,525,989,317,177,333,662,431,650,663,719,438,
856,702,061,139,957,765,795,339,653,353,719,311,887,985,471,808,061,965,137,
063,670,570,142,482,162,547,289,233,384,805,837,238,537,334,907,860,616,804,
976,713,105,971,569,675,496,353,208,021,282,214,369,664,330,521,130,389,865,
341,117,577,138,382,032,726,463,956,405,040,916,178,581,520,370,711,350,197,
053,794,794,294,188,536,787,349,171,319,110,625,193,431,738,629,409,369,122,
762,026,449,232,256,348,350,695,983,913,360,640,941,457,772,385,828,277,115,
151,366,603,578,889,384,028,858,953,234,188,888,414,949,696,565,232,847,023,
198,340,101,312,959,262,899,356,357,084,665,006,944,665,487,384,470,832,090,
573,029,795,373,915,473,385,810,888,356,345,147,937,615,964,364,584,389,101,
744,468,542,399,031,644,385,075,281,389,188,389,926,891,780,768,178,289,436,
726,744,270,528,772,370,101,501,477,839,466,544,066,666,382,620,331,682,692,
605,626,761,058,342,492,832,474,301,677,178,464,039,623,491,697,658,446,063,
053,559,059,800,024,917,432,754,566,942,712,082,108,252,776,039,577,584,991,
753,080,882,396,785,152,769,442,824,297,122,967,047,971,329,280,464,471,803,
449,335,611,119,429,348,972,783,927,298,745,666,631,048,154,995,158,370,073,
202,288,246,237,055,830,083,046,998,356,920,572,688,392,286,862,982,244,579,
242,511,351,722,335,886,130,678,755,849,838,800,805,054,882,783,061,778,407,
317,693,886,548,246,220,665,637,812,881,519,403,046,822,046,753,245,434,543,
841,128,176,342,505,600,635,590,890,909,907,981,566,880,714,860,977,634,323,
984,872,963,667,560,023,204,463,720,579,313,600,102,972,579,157,059,166,778,
819,428,396,383,215,613,729,188,330,091,829,017,406,152,669,210,240,803,469,
313,737,020,380,316,899,040,762,736,746,106,406,369,807,144,561,831,440,679,
814,331,809,691,575,659,108,260,913,223,489,204,148,474,589,764,903,438,429,
269,899,821,626,358,259,947,737,876,156,817,255,341,749,033,300,588,022,434,
848,971,053,714,860,899,150,882,997,060,942,523,137,394,921,825,579,028,722,
955,618,553,698,577,489,607,648,201,447,148,588,399,409,707,480,038,778,069,
944,902,459,467,028,813,252,031,768,406,452,952,900,717,425,901,057,993,119,
175,347,516,995,898,209,462,338,225,624,486,724,082,395,277,368,789,424,306,
814,169,679,724,587,037,844,608,760,483,805,308,064,275,655,311,675,175,820,
512,064,866,033,727,123,605,736,537,964,830,514,358,223,747,493,964,505,081,
374,039,530,273,210,345,064,970,019,986,548,820,525,986,420,731,721,574,786,
973,009,094,606,582,700,970,946,578,284,351,273,473,524,207,684,088,537,886,
366,728,341,541,805,372,051,331,726,976,982,140,030,423,356,492,585,077,992,
745,484,309,026,733,064,604,724,105,800,817,339,894,021,020,271,938,925,654,
144,094,024,260,264,217,571,244,090,139,514,418,041,371,705,687,781,138,152,
028,289,883,233,641,229,197,004,846,522,856,104,206,505,749,146,092,542,047,
786,551,207,554,597,825,540,549,919,936,327,417,093,479,930,500,909,523,785,
108,363,578,240,651,869,369,084,163,156,454,729,684,396,653,118,563,028,209,
482,372,621,045,278,809,898,021,497,054,676,088,012,959,782,157,344,130,107,
446,378,230,796,175,603,819,950,906,343,897,263,422,163,757,425,916,065,094,
142,098,754,321,938,116,473,687,997,908,392,773,993,038,088,435,686,347,019,
280,736,373,940,328,587,151,625,097,850,937,905,137,172,739,966,572,272,677,
048,406,136,878,958,584,921,978,210,701,939,104,238,220,578,974,814,720,716,
430,339,295,605,630,121,766,117,687,321,291,499,390,978,663,467,382,322,427,
543,466,404,412,187,945,755,154,973,425,064,356,568,711,717,222,594,417,642,
893,035,957,467,924,238,215,772,709,841,112,694,546,616,224,344,462,486,413,
120,882,721,890,416,392,572,336,396,898,811,724,778,568,274,838,657,708,994,
899,375,384,658,279,102,432,694,810,686,215,041,870,007,229,547,940,237,505,
838,381,333,609,583,069,913,848,097,016,982,179,596,863,961,480,285,785,909,
305,024,140,971,030,635,784,044,489,964,849,108,387,147,449,255,026,776,177,
297,353,663,577,292,348,733,304,401,880,136,078,018,573,538,602,132,462,160,
763,995,027,080,218,579,189,883,142,048,812,068,252,561,474,450,934,032,717,
033,849,690,076,360,684,337,489,797,643,805,115,605,405,587,995,984,224,465,
313,053,200,723,144,392,464,046,461,427,307,962,844,880,805,314,848,838,691,
018,097,072,604,693,663,565,059,711,199,360,496,198,456,221,350,198,451,007,
032,674,744,958,020,628,203,935,814,549,968,659,251,569,250,219,058,885,587,
688,253,791,508,692,105,473,885,100,000,725,782,230,280,526,649,350,614,798,
283,107,434,770,842,776,798,896,382,888,741,488,103,417,264,028,102,281,719,
901,757,522,326,042,585,579,078,066,563,934,915,745,094,772,525,971,367,854,
496,378,047,267,104,666,691,515,557,670,638,119,637,421,090,878,942,705,072,
242,573,259,058,228,685,051,967,166,958,421,046,335,489,594,131,317,882,213,
061,278,137,293,048,137,694,202,723,534,893,883,953,200,292,546,569,162,535,
841,841,210,853,337,767,103,762,787,628,935,828,849,450,871,118,269,777,442,
825,101,271,559,597,284,643,221,478,001,498,782,333,610,568,588,288,861,163,
671,092,689,303,510,689,568,408,968,779,018,140,093,978,328,116,136,272,265,
690,941,375,319,270,126,017,991,838,807,591,925,927,490,381,837,774,798,584,
584,518,714,229,763,542,982,989,578,287,469,911,626,744,318,226,799,719,603,
154,687,862,771,382,727,951,468,037,566,673,468,680,846,206,529,230,231,439,
432,654,124,183,392,727,105,351,185,093,279,678,585,028,388,493,902,387,445,
189,996,274,199,813,234,603,014,230,497,109,663,133,640,267,621,218,325,460,
712,736,242,332,388,390,467,377,412,703,905,651,080,067,890,128,595,111,620,
067,033,975,486,490,115,418,466,587,096,115,699,312,276,034,896,267,833,508,
795,407,346,654,751,493,331,874,077,069,439,072,831,537,101,818,179,237,435,
905,664,477,762,077,626,747,168,046,591,119,899,105,346,121,583,418,562,774,
291,832,273,987,658,485,851,685,094,122,643,858,508,935,555,768,846,757,961,
611,972,126,908,138,782,927,766,799,747,244,398,151,522,828,063,100,462,305,
711,653,297,634,164,221,848,181,582,197,218,759,321,048,558,756,092,523,594,
755,749,079,129,498,964,009,409,991,773,282,007,684,277,264,408,425,949,363,
158,753,165,345,212,181,136,138,671,839,376,568,018,305,703,665,717,160,366,
467,191,669,176,984,982,699,185,595,979,992,231,146,814,227,681,200,478,034,
366,130,604,920,967,463,133,883,765,266,160,043,550,705,046,186,589,691,215,
544,065,148,941,161,379,046,177,711,987,461,971,859,710,487,881,401,119,068,
288,785,762,505,438,120,656,440,334,584,618,578,976,696,701,430,064,778,205,
228,803,032,597,609,102,813,921,294,808,613,171,477,944,753,777,205,917,972,
444,002,470,412,333,246,748,470,710,995,992,700,604,673,732,163,289,062,115,
596,004,257,516,140,627,144,421,668,678,113,813,217,472,077,086,841,241,824,
225,896,198,439,744,572,529,641,073,304,422,031,144,457,558,843,436,845,487,
969,562,624,025,911,901,766,070,893,245,541,370,948,398,994,936,227,800,687,
564,750,979,304,332,457,562,650,953,287,745,968,175,376,045,954,789,216,931,
664,604,427,390,965,841,261,669,517,307,902,500,342,678,403,753,826,366,787,
386,219,366,107,529,855,007,308,123,747,066,611,338,809,492,784,668,025,379,
909,331,173,865,942,439,182,395,703,082,516,707,371,218,541,270,468,965,371,
097,692,860,547,932,070,119,875,510,216,497,477,106,667,809,703,720,109,110,
281,314,289,984,370,543,869,600,141,500,380,368,738,657,855,888,142,266,705,
713,277,032,057,440,230,793,702,404,757,533,526,011,807,037,717,973,796,279,
062,961,555,294,597,993,024,387,742,623,321,864,065,275,381,596,158,049,933,
591,566,563,288,427,564,224,412,157,539,428,143,151,118,533,151,566,730,841,
693,476,972,073,170,084,021,489,699,314,284,400,178,004,192,606,922,584,373,
076,790,194,279,565,233,902,007,088,117,308,403,906,066,708,734,748,432,949,
449,140,189,499,666,650,996,541,990,654,799,479,537,291,417,354,832,584,793,
856,072,343,232,133,438,979,658,236,511,301,406,138,723,635,477,010,734,883,
795,393,343,781,060,672,677,974,404,969,139,834,321,960,228,297,606,993,876,
383,829,962,554,172,429,308,687,994,087,184,161,052,682,613,263,008,880,032,
171,276,554,253,348,710,592,023,848,002,053,401,300,662,894,360,891,377,123,
341,089,304,232,025,096,828,664,678,963,875,758,144,755,353,071,170,577,282,
413,196,764,159,719,278,129,660,554,359,355,661,907,791,142,165,044,091,086,
381,003,320,192,505,877,085,246,858,355,301,805,961,897,928,413,553,392,084,
673,970,402,286,816,504,528,028,660,971,052,902,287,306,027,312,006,429,309,
726,200,820,943,765,304,265,510,232,134,869,067,486,559,035,824,099,380,693,
342,155,236,331,559,244,830,041,248,281,601,243,797,668,508,838,414,068,910,
409,169,009,351,699,563,518,169,377,211,868,021,885,940,597,966,399,953,996,
797,702,895,435,373,312,960,242,333,337,187,406,614,921,533,722,024,738,306,
137,538,957,014,456,809,865,201,663,861,965,405,946,974,435,698,543,502,481,
369,476,521,965,287,624,576,561,415,174,259,254,452,889,982,445,099,280,580,
846,464,845,687,392,553,973,647,491,975,292,487,179,852,423,348,029,139,657,
305,653,904,327,885,046,212,376,702,845,269,996,739,874,820,677,715,794,398,
207,858,258,923,378,154,329,076,666,546,754,233,807,408,900,897,451,248,256,
791,295,091,618,050,834,329,961,750,566,306,933,869,472,380,787,855,229,910,
060,565,912,570,624,931,602,888,267,975,984,684,289,826,739,583,737,059,713,
818,634,574,877,154,575,776,695,420,892,021,763,649,604,817,212,164,636,393,
073,794,174,007,777,945,222,246,764,280,849,900,513,678,982,542,228,655,186,
582,211,200,170,013,087,735,183,044,011,174,682,250,974,953,580,803,991,979,
721,781,766,581,827,319,883,857,557,990,925,552,028,902,464,607,971,586,960,
822,673,886,575,059,371,595,024,656,086,818,037,457,386,409,782,142,375,261,
494,597,584,625,739,685,205,202,183,974,531,392,323,439,539,402,478,671,407,
556,273,911,255,308,271,153,579,054,805,801,621,919,030,721,269,787,254,183,
646,238,124,119,449,870,914,315,672,245,254,903,060,668,432,423,817,094,170,
186,713,012,709,224,789,056,826,551,380,235,048,150,113,513,588,018,423,108,
401,287,640,810,951,274,542,422,264,484,849,049,229,218,860,111,666,643,916,
946,724,590,089,749,099,272,690,841,859,885,941,586,867,419,160,702,503,126,
585,214,052,641,593,581,010,263,333,485,240,353,085,985,144,178,628,986,653,
997,323,343,068,524,293,335,302,501,879,931,979,507,409,743,403,510,083,927,
158,086,304,212,816,864,482,250,191,339,443,291,704,019,293,848,988,670,619,
464,913,218,809,320,488,899,815,045,515,545,742,357,790,482,366,492,535,691,
812,542,101,460,243,244,470,348,896,644,207,137,312,872,438,807,997,353,520,
264,995,872,882,756,655,165,945,615,444,504,507,319,807,741,956,615,683,652,
501,476,864,804,295,103,081,247,360,762,033,998,478,528,256,507,101,664,769,
720,038,025,999,716,837,015,461,865,629,230,359,040,643,607,652,387,170,337,
844,835,861,168,047,484,843,015,080,588,993,471,357,900,091,298,518,565,317,
289,046,063,155,364,437,093,843,001,171,026,504,311,375,665,821,270,430,474,
323,731,961,649,922,543,491,250,967,671,263,378,719,102,279,540,851,978,070,
864,263,917,286,857,096,865,131,303,304,293,711,526,476,193,526,479,604,627,
204,813,795,526,851,539,333,868,613,805,036,560,153,886,414,551,385,219,967,
209,506,113,342,433,639,353,749,161,052,245,737,294,554,099,198,015,758,696,
433,148,685,242,091,461,468,116,050,570,444,716,302,796,405,458,162,931,835,
624,630,107,450,822,624,074,977,941,576,829,625,121,232,867,994,340,171,999,
283,483,229,783,300,381,190,849,068,993,617,389,413,041,250,039,358,183,065,
488,099,774,035,648,723,823,027,393,694,106,081,524,667,641,675,327,673,074,
204,208,233,975,412,337,783,494,194,029,516,547,023,181,515,344,954,925,235,
931,012,368,798,400,892,665,972,343,500,221,271,564,112,520,445,195,930,767,
025,074,584,686,295,961,236,328,153,493,429,596,791,713,287,613,766,443,306,
878,948,235,949,780,216,928,618,680,333,978,633,712,407,894,569,607,617,313,
901,361,554,665,150,620,015,237,225,237,918,599,534,348,123,336,687,420,180,
593,077,336,828,515,833,666,896,845,736,402,497,749,360,721,356,362,590,318,
545,397,625,355,424,903,976,379,666,795,290,869,436,589,458,701,796,241,819,
286,155,116,000,538,337,814,364,477,037,012,233,941,425,520,317,867,088,637,
451,179,557,084,357,864,549,147,464,803,540,385,587,110,924,085,326,409,399,
178,475,873,247,038,880,377,425,150,715,594,092,683,991,804,228,505,555,900,
040,874,657,313,269,250,262,369,718,561,387,384,545,254,685,119,420,351,548,
101,418,381,074,670,264,023,410,366,160,796,482,877,518,474,368,475,437,959,
594,844,477,187,229,681,982,366,167,802,316,386,508,757,740,827,437,853,103,
484,146,906,882,788,778,632,634,638,578,284,122,863,354,976,988,969,966,957,
447,811,860,188,967,632,633,652,018,463,106,740,484,877,219,063,523,956,437,
531,546,704,972,263,824,068,190,725,888,284,624,977,196,591,238,769,888,728,
284,811,705,186,006,402,028,045,546,632,767,825,410,913,985,961,428,239,801,
604,063,423,857,493,801,679,510,512,636,602,521,817,102,109,795,526,164,459,
797,506,356,992,184,160,524,198,959,314,746,091,585,529,210,264,585,374,481,
977,227,984,966,445,605,871,091,024,459,455,391,175,727,883,811,473,107,702,
579,135,093,513,583,408,920,200,662,625,297,662,620,614,766,482,591,568,853,
847,288,194,223,926,109,218,496,754,809,302,775,485,851,016,704,188,504,493,
027,757,524,827,314,492,655,650,357,670,035,143,953,445,079,853,049,620,975,
949,263,917,399,675,125,003,011,172,257,208,110,091,908,833,066,157,505,857,
664,165,431,933,313,298,565,274,608,473,826,574,168,215,279,486,957,502,728,
609,735,278,120,837,695,670,775,073,725,009,595,891,510,665,887,422,761,819,
819,694,488,401,549,461,174,627,116,294,582,021,092,376,154,690,479,270,422,
265,737,781,576,151,124,258,623,086,414,188,210,632,578,681,529,607,360,579,
054,741,152,047,546,977,761,345,411,363,351,843,084,638,254,908,708,290,542,
103,076,102,238,233,277,938,940,392,665,766,184,042,004,604,746,052,499,583,
410,155,147,344,794,528,708,332,938,332,868,124,015,095,870,292,848,024,846,
211,750,247,969,898,284,193,537,501,463,407,863,471,808,198,134,115,434,729,
281,854,394,687,463,365,088,906,444,347,631,344,280,030,362,309,688,370,328,
022,850,142,063,265,557,808,477,084,655,683,673,285,063,350,786,731,260,355,
982,268,451,025,092,561,170,493,044,034,450,497,826,346,413,892,106,849,587,
686,114,292,796,174,852,214,666,124,324,018,677,121,517,805,305,569,396,887,
709,323,814,660,253,765,147,711,226,935,359,244,230,132,487,900,995,079,939,
667,481,700,687,191,655,715,371,854,120,606,649,778,494,083,001,300,531,113,
203,816,327,411,814,729,167,820,132,288,520,387,005,243,249,629,742,387,885,
908,581,612,002,639,006,352,704,711,474,477,007,040,364,469,700,724,228,336,
086,975,937,815,859,831,327,016,374,219,520,140,027,238,254,296,122,375,281,
238,397,324,913,565,568,936,812,241,909,834,640,842,095,559,026,379,829,848,
192,581,948,537,933,078,589,043,055,337,164,490,719,484,784,309,333,081,177,
862,046,797,358,241,745,116,967,459,386,081,041,318,076,886,641,289,665,413,
948,750,324,979,777,132,356,515,363,588,725,545,148,734,042,719,146,069,019,
531,088,976,111,824,922,964,938,547,912,230,406,598,644,962,305,399,719,510,
010,310,060,540,615,834,231,996,328,225,390,050,381,650,640,202,009,052,468,
114,103,034,219,807,667,163,165,801,361,453,388,491,918,283,588,935,172,547,
736,590,433,484,203,674,351,031,909,857,671,382,725,833,065,880,554,009,213,
447,129,045,142,392,584,307,522,566,379,170,744,584,914,006,384,266,258,064,
949,018,987,447,788,042,233,661,392,074,785,034,829,449,739,683,220,865,420,
458,597,976,135,019,866,638,033,381,915,173,660,833,902,297,803,514,603,534,
895,340,017,930,926,824,716,640,730,486,269,020,213,841,595,162,905,861,101,
438,733,748,736,547,717,145,145,705,427,886,537,796,310,672,516,878,280,743,
850,982,119,350,247,301,607,501,829,294,961,199,153,640,366,622,381,049,268,
294,076,925,950,487,256,708,065,955,325,843,791,727,229,393,173,463,638,614,
015,980,461,608,272,253,113,558,910,630,772,380,509,294,798,245,452,966,020,
672,543,756,477,808,994,538,987,902,632,104,959,658,987,690,917,533,802,557,
211,205,508,112,778,165,083,328,044,003,725,083,978,649,521,077,814,318,281,
446,524,998,967,287,773,252,127,232,222,857,683,690,279,148,118,555,654,060,
553,041,009,756,507,664,598,280,852,303,424,604,467,345,212,239,317,227,963,
024,140,639,544,530,342,587,876,297,474,447,810,461,870,640,156,786,487,967,
154,965,992,744,639,927,234,375,485,624,002,655,206,543,680,136,494,866,011,
810,159,353,738,317,057,117,299,671,638,130,548,836,567,715,907,865,005,920,
420,146,118,319,360,485,366,121,283,759,997,171,566,603,802,173,313,053,054,
638,985,311,684,231,885,972,175,132,727,095,885,265,823,748,354,491,385,329,
733,264,652,030,597,730,835,642,929,681,330,216,119,704,855,217,800,162,802,
072,544,740,323,063,551,443,410,803,673,232,856,484,008,637,096,356,387,956,
818,968,627,745,640,276,553,999,410,792,235,655,228,228,112,709,015,380,513,
600,641,731,725,882,443,239,323,945,414,148,350,878,392,682,686,576,215,886,
839,568,385,740,111,072,652,115,412,538,524,867,383,989,023,699,018,674,875,
337,286,831,492,025,523,600,251,362,765,735,687,773,788,883,872,587,122,419,
475,700,310,654,084,273,433,030,289,277,621,270,419,264,000,353,093,587,300,
522,284,586,029,241,690,373,120,402,109,045,558,449,618,587,242,018,663,580,
270,412,477,680,997,506,769,413,311,695,163,845,086,252,662,736,854,740,481,
843,946,623,230,430,514,941,131,903,095,890,854,647,971,948,775,740,505,049,
380,061,044,198,932,951,525,563,909,013,639,145,455,470,063,147,276,257,232,
593,014,890,561,469,963,497,177,476,957,465,370,822,984,259,970,093,847,720,
326,135,932,305,812,146,676,224,059,367,633,075,194,599,708,193,711,543,973,
121,127,398,667,248,869,142,176,748,797,892,729,566,694,713,442,796,329,458,
649,621,919,511,211,342,539,851,566,165,496,335,414,537,537,691,887,989,965,
922,040,282,499,927,389,880,424,067,424,176,770,099,081,041,747,705,965,300,
793,820,068,810,144,535,152,893,144,183,030,688,847,532,904,235,626,369,838,
651,688,628,544,115,225,196,689,820,601,791,602,433,910,742,631,131,033,843,
014,175,971,604,299,481,730,723,458,749,349,561,911,609,616,330,764,397,469,
237,529,093,825,279,854,928,622,195,625,333,382,577,157,489,512,127,512,048,
188,956,745,651,837,833,639,313,396,451,050,973,897,729,048,515,142,194,017,
085,357,453,322,549,860,806,108,672,881,485,395,590,659,416,370,695,556,816,
466,162,888,469,955,717,507,579,415,359,763,053,396,526,264,232,154,308,077,
211,090,151,704,474,907,984,718,449,678,513,195,575,297,966,509,697,176,350,
290,535,862,384,947,380,938,924,792,372,768,161,479,566,014,346,327,994,685,
773,556,599,132,648,095,761,084,109,868,536,132,296,914,808,408,564,744,121,
110,824,154,608,091,426,995,082,261,904,901,637,751,065,029,195,144,603,058,
325,671,081,787,495,557,540,998,647,546,204,826,329,918,539,292,333,714,045,
436,307,912,778,380,134,242,123,797,946,978,809,179,909,169,468,763,328,746,
245,655,231,771,915,715,174,147,912,134,793,980,751,860,982,302,306,262,385,
055,908,595,801,575,019,160,522,615,726,571,787,972,821,157,877,772,840,895,
058,287,833,213,778,749,626,227,958,538,256,486,094,611,036,988,141,929,616,
665,971,428,145,967,688,408,054,831,793,354,884,780,402,636,187,392,151,710,
831,066,422,435,361,121,779,833,175,785,981,972,468,371,503,793,555,271,850,
895,148,045,663,468,357,687,399,894,653,400,703,312,482,155,899,375,671,318,
115,485,760,577,066,452,364,261,168,097,025,689,708,270,836,774,921,905,500,
154,955,028,486,795,041,172,476,408,807,597,293,221,462,139,791,347,073,692,
772,824,528,517,509,852,046,115,072,324,291,136,706,013,861,038,006,387,849,
430,734,176,471,355,609,400,922,232,191,031,592,846,272,439,660,861,359,870,
624,006,153,477,093,940,382,042,645,718,414,390,010,532,357,210,450,535,698,
194,497,179,130,414,248,066,523,196,591,155,634,678,804,994,922,254,683,225,
117,929,522,492,094,356,532,579,967,382,919,904,927,211,593,132,816,215,455,
629,708,748,686,818,507,420,934,447,872,559,733,709,321,097,366,133,966,062,
948,517,663,615,099,254,221,549,787,161,019,858,341,706,406,959,382,400,787,
662,184,626,056,284,065,798,705,887,237,127,575,664,825,255,804,354,388,602,
589,240,385,974,814,787,532,655,304,549,957,884,592,386,217,225,318,650,353,
783,180,503,653,797,681,955,950,020,709,596,356,616,795,351,145,778,796,845,
676,930,028,021,061,259,354,984,484,855,799,731,177,054,439,293,126,275,994,
295,582,274,982,326,924,882,337,623,940,504,701,591,798,138,363,360,642,352,
166,702,384,980,449,371,418,998,472,729,139,461,993,312,372,790,930,311,647,
524,535,934,233,394,621,280,116,145,125,934,346,682,614,318,880,884,677,708,
062,057,292,104,860,700,402,246,935,538,120,395,903,325,634,433,950,504,332,
488,083,792,013,733,506,201,978,308,764,940,991,180,315,010,484,358,685,267,
740,741,861,982,803,777,471,846,352,511,134,420,133,613,655,517,530,333,650,
670,977,285,991,529,051,953,174,474,474,123,561,796,546,926,039,640,507,968,
348,791,317,662,621,393,596,225,637,721,069,075,850,453,574,812,145,276,393,
462,600,409,499,746,884,582,365,933,953,014,718,391,609,880,422,184,062,129,
061,168,439,833,828,877,777,595,069,118,660,593,539,204,008,794,001,119,536,
467,279,816,281,183,568,507,407,710,922,700,786,312,497,083,325,773,214,811,
844,746,478,498,191,017,148,989,952,051,123,927,189,372,963,949,127,276,748,
118,273,934,029,719,693,260,041,370,221,625,664,745,730,381,903,445,600,866,
457,634,570,380,284,803,862,290,614,384,404,210,916,529,912,259,776,098,209,
644,880,574,425,319,198,955,786,328,648,592,473,167,246,990,636,463,342,428,
000,304,802,557,992,379,910,781,818,337,370,136,664,818,767,340,087,613,076,
811,548,810,408,538,916,627,314,441,547,355,779,846,807,513,076,458,725,249,
244,182,649,879,332,106,109,703,869,284,269,986,383,373,295,958,757,086,265,
962,896,701,680,912,202,348,073,837,414,832,709,012,938,540,748,926,819,215,
310,924,843,962,593,472,795,034,234,913,773,551,688,640,168,965,785,206,604,
887,713,289,826,241,041,081,302,427,583,018,489,546,509,894,240,680,932,207,
569,682,030,781,053,243,811,575,717,880,997,612,717,482,414,544,505,501,640,
589,314,596,636,787,394,784,157,202,149,197,553,786,191,073,659,248,617,865,
284,141,322,557,636,289,352,459,360,558,945,192,318,033,456,755,837,873,117,
377,782,874,246,126,010,609,181,835,646,713,567,070,865,072,777,194,103,110,
762,111,480,191,024,525,476,099,817,741,378,059,392,643,790,581,913,619,556,
977,931,299,542,137,893,024,853,821,889,176,683,618,246,296,090,491,879,433,
239,150,200,485,137,113,225,966,975,334,811,291,604,092,748,042,428,833,900,
749,360,401,868,929,567,835,888,463,952,032,717,361,897,202,770,319,378,543,
113,025,159,529,557,009,221,175,674,063,731,749,828,428,862,186,600,423,507,
765,169,946,525,456,884,119,409,955,209,458,071,527,114,270,311,547,638,488,
973,790,638,785,306,297,560,913,962,827,872,917,422,977,499,444,273,286,180,
886,125,829,385,152,770,872,628,262,449,381,537,815,344,038,619,444,040,194,
119,275,803,442,451,253,598,390,469,505,161,153,868,038,662,864,128,365,217,
880,904,086,955,640,481,821,571,937,823,320,727,449,264,180,199,687,975,033,
494,966,334,622,776,163,665,947,114,385,758,662,826,996,840,596,999,649,720,
017,124,636,041,289,037,276,196,968,322,686,396,933,417,519,118,709,821,480,
738,306,984,704,102,328,137,010,729,953,737,860,417,303,881,412,134,699,788,
644,341,172,513,218,570,841,647,737,993,173,890,875,132,004,780,104,342,615,
001,216,192,274,731,804,249,458,361,106,841,613,882,780,141,689,265,333,016,
128,919,143,811,419,351,546,190,904,652,422,157,466,261,656,055,721,100,951,
422,839,235,037,376,505,344,567,790,978,950,329,771,066,997,415,117,158,469,
717,683,970,941,162,113,282,327,289,497,602,010,893,419,295,690,289,259,236,
054,336,581,568,535,447,538,905,960,177,351,726,354,861,847,719,009,306,904,
443,167,198,671,106,856,540,673,263,794,171,828,287,998,284,525,509,471,596,
450,858,997,393,319,107,127,102,616,487,878,931,471,317,832,211,991,525,913,
940,951,519,368,530,382,565,195,457,525,207,128,500,222,613,357,633,222,786,
713,228,894,960,012,311,636,400,362,156,739,501,921,828,467,596,533,751,861,
079,991,808,663,858,592,383,460,328,333,882,023,353,110,234,402,664,317,231,
496,982,951,892,695,881,509,967,769,963,177,282,606,872,255,059,447,446,629,
174,482,587,700,128,706,555,834,718,973,681,364,926,520,948,906,099,524,575,
827,372,175,925,865,217,352,963,322,353,972,832,134,009,434,325,116,773,025,
306,774,943,270,812,022,568,910,831,393,327,963,701,645,288,043,282,571,814,
390,823,180,826,265,648,942,983,339,797,073,653,569,290,870,576,423,421,668,
685,293,203,811,635,421,096,027,085,076,935,124,370,561,105,649,656,970,761,
504,238,412,673,607,625,071,454,296,401,325,938,608,414,324,126,866,423,841,
736,471,179,826,220,131,907,349,620,958,509,429,383,412,322,277,374,361,711,
984,310,600,437,884,200,599,233,021,683,969,253,615,235,917,420,529,988,487,
385,099,875,162,307,769,648,970,076,642,510,430,871,541,442,823,678,361,000,
387,607,820,906,981,731,175,996,013,248,966,261,337,079,251,209,532,174,813,
528,641,610,460,320,165,004,043,150,843,041,185,152,988,874,946,318,891,709,
018,109,766,868,955,096,654,788,370,190,454,187,837,037,713,976,117,631,760,
885,367,171,983,965,517,166,911,316,169,544,535,185,188,081,787,776,128,473,
136,696,524,634,498,520,587,987,047,193,878,969,674,254,282,180,720,568,381,
800,754,523,981,955,814,000,943,075,296,928,155,646,834,306,331,163,255,837,
964,057,613,666,143,259,133,903,767,595,037,489,668,556,358,339,044,229,804,
088,764,536,555,948,776,852,430,541,979,688,009,291,864,941,604,897,014,631,
184,756,861,687,921,718,383,218,362,218,197,097,087,871,480,690,268,084,891,
433,519,636,875,697,843,715,472,903,238,131,226,862,072,818,751,930,205,864,
983,542,839,754,135,764,085,049,893,016,603,573,937,568,770,812,123,184,771,
007,097,868,304,252,119,450,062,401,808,043,654,864,863,456,587,372,322,220,
098,221,586,865,128,378,275,543,219,486,144,355,857,263,196,727,982,253,504,
712,058,008,755,588,296,795,829,811,842,508,360,747,235,268,261,369,265,885,
578,545,893,505,604,606,657,784,986,222,041,969,842,716,295,601,743,344,044,
941,761,372,624,919,232,681,410,097,395,019,707,240,949,742,598,682,575,119,
244,836,286,319,467,574,277,510,594,158,107,313,549,884,182,561,807,763,112,
076,223,894,095,456,657,872,965,330,309,606,085,878,724,294,813,068,147,237,
574,825,452,347,318,955,460,505,243,075,956,183,222,040,474,339,350,983,963,
776,511,867,054,739,399,946,099,747,874,773,235,052,480,100,245,695,907,198,
053,745,232,095,420,067,137,602,493,106,945,176,819,575,312,951,952,994,349,
495,292,213,863,550,993,449,111,672,375,133,189,963,700,989,178,775,650,149,
090,353,001,109,936,160,223,706,093,523,900,441,350,932,252,585,368,750,810,
147,033,084,813,904,968,535,879,501,268,780,792,748,315,698,638,531,806,722,
035,145,386,443,504,311,110,573,351,092,545,479,901,471,476,346,672,025,827,
598,238,122,395,187,994,255,725,712,072,405,448,198,779,928,106,835,964,760,
529,834,152,263,060,995,756,095,224,337,530,954,041,546,714,334,996,432,245,
389,118,358,369,456,314,247,171,645,461,626,322,468,004,855,159,153,658,964,
155,616,393,557,088,298,816,743,587,412,398,763,550,610,870,038,479,620,434,
589,612,543,663,529,076,352,737,636,921,460,788,892,641,217,030,001,441,923,
155,933,871,563,416,650,634,506,262,163,352,979,555,963,948,380,280,410,933,
971,900,705,155,461,430,343,626,712,037,880,819,912,564,276,524,298,167,418,
409,120,732,959,648,314,234,024,261,797,434,100,674,273,646,269,866,001,334,
624,035,419,123,691,351,596,842,170,038,805,317,537,961,249,574,646,513,367,
570,723,631,570,467,536,425,226,681,135,053,464,190,003,727,715,374,973,434,
538,472,733,435,608,258,896,687,449,652,334,457,579,828,427,407,530,315,318,
827,763,904,050,277,697,476,486,938,114,852,978,197,962,064,006,747,751,689,
341,263,200,287,655,327,795,020,962,275,034,848,171,706,311,318,178,954,985,
032,205,642,748,077,023,485,823,426,734,059,857,010,012,780,203,010,195,082,
602,437,549,789,883,316,541,269,407,921,466,171,753,177,250,365,903,055,345,
734,437,663,601,134,269,464,585,248,143,736,769,200,455,435,403,701,267,245,
371,054,237,309,752,990,794,210,046,534,136,862,536,495,465,045,550,285,898,
453,680,683,238,953,295,982,504,868,607,484,398,363,579,373,773,783,263,309,
625,634,837,701,506,965,221,259,643,046,041,455,436,031,172,836,578,929,587,
132,909,387,643,694,455,943,981,883,560,960,032,893,314,767,356,361,470,010,
190,283,731,884,167,815,725,625,736,224,616,346,410,534,903,791,343,088,161,
155,283,560,287,505,880,844,515,540,574,981,409,642,962,895,385,118,682,336,
671,392,594,658,785,500,835,829,631,511,642,394,676,718,053,642,430,160,834,
058,639,232,754,717,712,709,717,948,088,169,815,857,714,126,531,749,357,640,
963,027,540,738,027,427,396,261,203,938,406,477,357,163,863,310,511,503,264,
111,577,556,884,288,343,388,396,140,179,153,926,499,373,106,165,690,754,007,
382,540,533,863,058,719,895,359,158,595,999,925,346,813,392,365,663,939,249,
086,686,337,850,975,799,595,603,932,273,362,439,604,692,824,002,678,085,687,
981,364,854,770,108,160,183,315,543,050,220,294,504,312,187,399,012,931,029,
197,570,659,843,564,260,153,825,517,948,245,695,050,078,907,912,600,728,751,
119,776,703,085,647,591,109,703,708,587,107,200,254,201,315,342,552,441,232,
901,832,703,820,283,883,051,916,671,477,142,291,148,625,224,006,466,837,311,
235,911,985,763,729,160,647,286,877,304,319,669,093,242,668,112,791,305,936,
066,375,134,592,346,188,425,711,078,530,526,012,524,041,286,130,591,283,731,
568,913,658,524,639,210,101,139,915,684,472,922,764,612,153,609,080,764,185,
513,312,728,598,403,877,631,976,986,941,326,863,255,836,406,151,916,964,784,
007,879,855,239,796,821,366,104,649,066,311,324,908,480,634,711,720,054,959,
869,004,392,457,737,189,171,633,415,074,453,216,394,805,822,364,902,391,113,
285,006,761,880,382,504,336,350,976,198,180,630,278,028,591,741,906,248,210,
886,626,182,575,521,439,049,615,997,014,112,395,914,023,133,692,634,285,411,
260,697,021,674,517,953,586,471,247,966,684,859,768,803,835,016,652,493,597,
749,311,624,117,169,192,233,841,325,169,085,906,536,840,324,957,207,483,891,
021,642,255,428,467,728,665,271,116,800,865,130,608,226,534,393,440,325,556,
802,775,563,909,210,636,543,732,410,438,293,569,870,520,940,063,445,804,821,
440,114,745,618,128,373,561,004,183,453,521,766,218,621,484,099,804,085,822,
228,241,032,428,660,613,766,584,072,887,533,769,645,459,089,734,661,703,150,
430,439,795,699,094,600,605,675,735,594,449,304,456,055,978,706,472,309,198,
236,113,537,070,795,835,735,055,828,393,420,629,644,018,726,033,423,446,796,
465,584,758,599,898,974,525,955,767,078,014,699,543,987,316,184,658,541,897,
175,313,143,360,110,765,267,036,208,529,808,249,035,307,094,805,284,577,731,
765,822,602,510,049,029,351,181,115,248,744,010,366,816,541,324,358,838,161,
293,328,460,461,283,635,308,310,677,235,331,369,728,688,935,205,788,265,483,
893,340,105,989,659,702,030,322,803,894,230,709,601,008,807,982,855,337,594,
578,021,341,781,416,200,309,861,478,456,888,599,640,125,006,598,291,735,563,
347,870,651,134,430,747,394,519,684,602,307,444,205,802,905,527,038,400,693,
746,267,796,168,316,813,609,223,365,260,731,061,878,886,750,103,628,590,467,
628,526,840,053,595,331,731,289,865,195,181,706,805,751,208,542,027,875,735,
486,835,296,248,773,839,919,088,308,937,968,653,925,061,662,974,770,881,010,
810,672,531,434,192,475,102,011,931,652,588,309,256,105,190,250,982,973,383,
931,050,940,745,905,089,227,074,633,372,971,022,665,515,993,312,088,637,726,
843,793,084,831,730,706,013,632,142,478,807,915,407,867,250,021,219,338,183,
878,185,188,738,236,954,515,317,256,984,689,578,028,725,065,027,240,244,021,
832,075,609,596,577,831,068,067,214,753,260,609,955,554,907,868,023,022,746,
751,118,349,023,868,286,070,449,315,729,800,968,353,383,075,556,972,922,105,
103,985,003,061,364,519,302,397,965,628,847,692,824,318,784,045,551,852,515,
359,055,492,631,063,592,406,625,398,002,483,552,400,728,633,307,285,030,192,
603,862,531,349,421,449,785,994,565,867,380,166,928,928,336,841,235,970,203,
694,758,105,073,463,095,144,999,893,532,103,951,825,702,630,151,541,552,153,
985,359,115,705,596,373,198,547,537,014,909,536,589,655,430,246,676,974,820,
885,120,420,971,457,625,747,911,872,005,471,168,623,632,767,453,309,310,897,
533,944,191,117,186,339,897,661,838,318,400,830,747,090,448,258,364,591,705,
161,916,227,850,578,752,386,076,162,576,245,109,010,797,600,116,410,772,279,
730,333,385,638,248,904,316,165,055,079,389,495,859,949,030,620,015,833,747,
582,523,669,124,881,185,999,167,503,728,754,104,396,973,415,759,877,898,219,
096,006,996,405,095,306,143,095,162,387,194,407,235,451,444,180,381,612,905,
797,792,703,463,961,577,973,303,293,037,267,854,911,828,206,159,847,212,870,
465,944,697,848,000,871,776,345,192,092,189,921,778,591,528,643,603,139,861,
650,148,507,267,122,292,328,214,757,897,437,782,052,703,062,543,216,742,959,
076,845,144,972,039,220,053,030,766,311,097,588,426,124,554,687,268,740,313,
415,761,200,775,812,568,186,326,782,298,242,433,097,885,721,339,583,822,795,
254,896,175,293,698,239,215,915,644,168,568,131,133,188,795,375,236,047,690,
144,234,993,837,699,171,846,967,703,508,943,595,037,149,781,047,039,707,545,
413,120,319,667,466,192,928,977,157,398,902,276,462,409,156,992,743,192,437,
033,251,681,022,802,302,854,070,452,350,667,865,161,144,645,624,633,023,143,
096,855,386,503,284,151,602,788,519,058,812,436,430,406,106,172,315,609,092,
778,723,188,547,265,112,680,749,074,779,382,497,961,996,872,760,342,522,107,
181,864,553,137,939,528,721,032,513,702,867,481,694,836,379,037,018,146,874,
135,848,553,237,391,842,784,026,876,089,751,089,984,672,210,554,681,373,801,
765,491,539,285,150,270,377,913,591,631,140,900,578,948,118,357,577,104,963,
496,908,549,701,738,867,678,105,108,668,020,684,408,555,390,990,241,562,735,
397,698,641,758,063,504,329,072,927,523,072,262,066,592,985,065,439,800,258,
457,493,540,207,670,518,741,681,399,841,386,198,241,876,351,136,369,596,580,
982,806,217,442,323,297,687,241,398,270,079,084,593,246,309,285,598,564,020,
387,609,353,347,821,664,409,564,226,877,463,967,465,372,139,538,783,401,158,
796,474,396,991,444,951,489,257,332,738,088,264,746,864,858,497,857,712,545,
665,900,954,705,866,410,188,122,486,244,445,032,710,283,052,123,546,089,266,
729,141,378,949,529,317,870,568,814,383,510,654,845,387,329,657,056,806,644,
535,911,130,655,926,315,250,755,663,854,990,977,239,037,637,043,326,982,437,
521,271,341,835,009,537,910,177,938,567,030,103,204,620,687,052,670,289,121,
650,430,123,650,083,935,663,683,818,658,027,075,954,231,990,046,464,342,526,
956,937,272,254,210,089,156,625,196,439,403,462,032,755,750,475,846,235,700,
228,361,948,837,021,005,015,965,762,421,848,293,983,237,604,004,070,426,501,
191,735,225,178,515,264,984,468,350,211,549,018,059,383,626,693,937,996,642,
455,697,068,709,961,819,333,594,749,528,908,306,906,138,549,389,135,037,253,
579,360,763,658,322,407,072,293,510,286,265,040,255,301,403,410,027,798,902,
021,489,977,432,753,970,328,698,660,103,175,303,623,507,791,433,839,948,298,
541,602,252,945,173,523,454,202,535,198,689,137,856,619,106,636,530,796,177,
260,419,126,336,858,020,268,062,111,099,571,741,287,530,511,879,185,434,172,
280,861,986,288,762,052,663,293,192,091,174,890,516,324,744,382,882,647,512,
580,376,925,030,286,966,540,855,912,608,774,945,518,611,239,904,633,341,984,
381,456,260,135,074,598,727,891,405,819,651,163,290,884,347,409,994,644,422,
507,295,215,371,672,480,014,861,875,357,377,906,393,780,657,797,398,057,191,
906,595,163,448,377,498,016,978,213,490,418,952,655,934,859,229,923,616,922,
953,845,019,031,392,852,674,034,190,593,007,044,920,311,190,456,772,533,619,
399,013,566,887,685,277,918,977,471,727,613,981,970,674,886,131,569,557,577,
409,501,608,007,809,700,161,469,679,482,514,259,252,577,289,763,871,170,362,
535,735,325,515,170,314,647,328,130,654,714,104,047,961,113,873,296,247,950,
161,567,446,306,821,518,511,316,691,571,480,373,275,782,423,019,407,397,680,
426,780,192,579,784,678,678,399,852,545,464,729,477,252,111,521,340,583,035,
381,488,059,730,331,356,424,288,805,622,945,393,469,135,028,334,565,817,647,
010,819,305,218,534,358,162,329,649,083,141,979,101,472,231,591,335,816,599,
831,163,716,400,818,024,235,202,248,883,239,696,779,243,074,767,236,917,420,
527,293,147,134,382,924,065,058,889,759,121,595,158,579,174,516,324,655,616,
700,879,265,763,891,838,472,780,257,500,080,518,623,583,165,446,949,280,089,
080,327,665,347,574,034,424,426,770,183,962,233,159,352,198,993,379,867,663,
202,435,160,296,478,093,803,745,958,006,196,829,983,452,243,180,914,034,424,
337,703,937,759,861,870,988,879,426,931,212,961,817,065,324,039,321,356,815,
367,857,237,695,481,431,933,844,083,627,067,183,642,862,096,151,226,001,970,
255,807,521,917,969,985,674,501,563,380,001,789,435,672,744,426,093,078,077,
999,005,894,565,730,277,427,719,193,953,710,379,352,814,091,965,582,583,949,
678,986,027,498,166,079,589,349,788,993,300,780,840,647,807,671,147,134,932,
980,929,063,131,964,643,112,529,833,088,579,314,926,311,861,525,186,994,978,
965,401,466,878,751,284,927,880,692,392,886,701,821,581,849,775,521,538,964,
584,042,585,426,922,012,978,773,590,522,261,976,827,001,525,469,950,260,073,
017,184,620,394,881,556,340,317,856,175,678,967,117,394,644,284,724,944,564,
423,273,870,562,627,055,270,118,616,255,272,899,019,975,103,774,787,510,489,
197,147,271,766,564,740,384,929,823,992,739,633,841,396,291,640,917,887,106,
437,771,056,384,017,626,486,871,811,100,211,545,374,182,197,066,052,055,720,
017,503,145,148,474,965,415,702,580,557,227,922,014,064,980,322,922,796,410,
417,458,998,338,019,777,202,258,964,618,021,448,414,802,432,093,158,199,393,
413,009,746,124,278,119,746,263,748,754,029,201,393,253,764,227,260,241,884,
271,789,043,275,649,652,108,583,919,648,259,414,029,570,167,402,987,451,879,
917,999,754,448,412,911,610,661,137,692,112,658,063,286,840,217,019,566,659,
212,900,232,789,227,041,411,567,733,063,202,999,254,751,957,960,967,415,816,
092,179,409,843,963,203,298,474,029,041,555,627,519,499,522,692,945,686,366,
678,590,875,355,818,070,342,295,754,367,888,183,333,599,500,248,942,191,605,
183,364,660,440,770,176,763,251,434,695,480,559,293,124,372,700,706,973,419,
709,529,994,907,416,371,587,419,204,380,285,963,886,593,042,458,378,682,587,
812,196,649,000,299,729,764,394,292,219,686,241,838,410,370,933,297,575,548,
171,240,440,354,473,621,051,372,333,258,719,699,355,407,234,892,724,543,077,
370,886,934,035,647,504,864,700,212,988,154,234,745,166,246,316,154,925,994,
071,062,153,265,851,825,302,308,529,408,386,602,934,147,632,763,572,393,707,
837,084,168,718,884,043,249,517,825,439,300,558,647,067,943,316,385,296,949,
107,006,477,532,296,779,467,853,409,786,318,694,411,018,361,989,337,614,557,
430,280,163,414,398,756,543,512,883,050,286,892,115,108,075,646,871,740,779,
849,744,511,945,671,771,188,739,709,232,106,714,361,579,602,554,150,904,313,
333,846,675,510,165,727,678,821,769,279,701,374,849,897,108,015,276,516,537,
637,352,022,375,107,817,593,481,591,507,841,254,823,605,288,901,332,597,296,
004,119,139,846,631,898,628,868,838,922,600,512,658,787,737,636,841,953,851,
332,542,393,968,474,979,413,832,295,546,457,096,607,271,609,513,948,068,998,
880,756,741,199,689,345,252,736,341,136,042,624,373,953,644,942,405,372,805,
712,603,938,767,384,956,802,930,240,024,376,219,762,696,877,907,567,002,551,
394,902,600,034,740,263,847,043,972,551,427,275,614,775,512,670,134,611,855,
378,315,930,284,899,956,504,749,579,354,997,165,203,905,949,445,608,730,829,
227,488,310,172,721,500,260,375,073,488,183,837,632,851,756,495,748,354,586,
521,627,001,599,531,157,155,662,479,191,409,677,760,511,156,099,889,918,233,
200,440,672,670,119,684,073,104,164,858,864,522,459,425,042,325,636,191,995,
077,614,006,880,544,545,190,891,243,333,393,579,072,904,728,004,528,930,508,
734,036,859,841,638,145,941,446,417,857,825,724,737,119,161,672,728,302,887,
365,166,797,315,679,307,719,056,830,685,197,441,313,069,997,343,299,920,504,
920,274,713,889,385,505,741,390,727,085,380,291,168,787,032,675,458,861,082,
331,206,661,597,739,606,732,863,853,876,635,047,456,900,222,958,228,295,680,
152,087,687,250,448,232,710,082,924,787,304,837,697,602,568,269,630,689,942,
834,122,448,973,848,058,688,441,883,782,453,189,732,258,217,224,639,314,862,
225,093,422,734,144,384,084,712,212,045,734,652,983,352,906,837,834,590,509,
037,764,430,189,950,809,762,577,263,875,514,267,460,637,545,839,009,528,621,
331,981,688,731,295,131,917,420,510,522,299,923,012,499,363,282,656,762,176,
933,882,933,436,893,146,797,615,769,684,340,267,042,055,840,171,866,409,090,
656,755,318,598,639,833,882,603,454,254,957,888,713,203,674,614,952,143,879,
220,000,567,536,544,220,114,384,575,517,021,907,913,758,539,033,940,321,177,
826,275,035,144,013,331,566,650,843,283,522,985,429,282,112,002,761,225,722,
450,310,816,800,988,019,538,959,023,272,044,104,036,095,459,067,909,525,651,
521,865,747,736,542,085,545,602,716,907,443,193,799,488,611,539,880,933,244,
989,349,448,850,299,035,615,780,846,953,869,466,493,621,687,549,879,921,017,
490,502,132,574,684,704,708,018,063,575,879,916,564,959,588,494,546,990,988,
971,255,909,136,108,528,701,168,175,103,774,851,271,324,051,683,799,086,162,
672,375,097,082,937,116,407,322,695,836,002,152,182,560,463,884,205,333,133,
394,222,830,701,953,774,217,048,274,744,688,625,443,523,487,737,001,673,586,
981,139,992,812,529,662,999,140,531,110,861,751,372,259,330,087,882,177,567,
566,866,089,921,202,139,510,173,712,443,592,817,724,558,515,041,681,706,132,
917,967,608,230,178,957,225,420,715,165,025,804,888,138,363,819,425,833,876,
982,194,387,743,917,346,826,984,248,931,529,845,942,538,970,753,445,413,237,
508,357,294,555,500,759,213,159,117,865,268,388,517,354,621,324,193,408,775,
681,995,606,289,762,050,652,802,173,256,402,454,801,572,653,719,070,594,180,
570,634,444,836,932,555,804,303,393,145,690,076,360,788,995,420,845,753,816,
626,049,842,279,391,285,400,612,332,462,150,739,003,404,984,393,776,351,450,
652,204,937,694,073,216,834,554,876,141,901,436,071,831,531,566,920,653,175,
838,616,141,347,022,687,780,069,919,954,444,060,953,053,005,500,602,770,818,
083,467,708,386,359,139,686,444,576,841,558,153,821,786,938,462,998,327,095,
708,161,612,948,439,203,837,129,184,969,473,643,821,674,621,624,259,110,030,
741,168,035,286,801,986,004,592,095,971,459,166,640,180,460,606,341,794,503,
850,674,253,264,061,574,550,598,664,935,675,061,964,519,381,659,770,453,168,
901,765,251,124,200,945,975,758,324,400,931,866,484,052,813,703,245,769,481,
751,427,426,423,176,003,082,326,335,443,384,317,917,711,544,105,388,247,876,
808,135,784,308,166,549,686,893,560,534,268,683,125,847,585,061,839,393,809,
991,065,993,094,121,986,771,463,446,053,318,758,532,088,860,043,810,190,228,
443,378,865,252,252,637,381,785,640,730,520,708,353,477,130,084,839,769,771,
126,080,587,243,786,533,796,658,068,504,397,836,729,592,501,648,399,239,468,
377,559,485,222,758,817,909,217,228,131,655,127,997,968,409,171,136,656,414,
252,604,608,387,306,757,904,207,921,387,295,298,698,064,007,111,651,901,876,
095,607,615,269,133,784,882,680,711,797,308,557,312,444,447,944,891,903,172,
664,400,373,159,075,116,326,807,022,036,483,206,881,063,818,644,408,849,386,
002,045,270,694,257,842,872,948,380,325,836,556,211,357,141,705,865,792,363,
133,981,393,052,746,459,597,149,262,885,495,652,794,520,139,038,779,573,715,
361,312,087,758,272,512,801,016,309,039,292,322,719,213,218,155,601,039,739,
496,992,894,392,662,409,821,256,584,614,633,360,007,042,669,072,795,890,379,
514,820,800,901,211,566,774,080,472,927,019,244,200,359,426,837,144,821,734,
840,972,180,387,196,085,132,794,524,841,655,397,436,330,598,381,889,128,962,
801,021,704,648,893,396,648,979,313,609,764,752,930,077,281,879,884,413,510,
239,096,457,899,244,118,433,754,076,297,774,200,281,015,932,903,180,850,895,
260,654,742,415,158,615,928,106,469,411,849,202,947,736,221,564,632,588,102,
801,210,383,669,714,741,794,593,498,921,390,235,272,716,513,749,300,702,686,
488,999,614,137,740,956,531,496,924,512,665,456,238,175,221,775,458,164,616,
179,654,229,509,914,449,349,887,326,759,475,569,844,408,623,252,515,237,015,
063,482,025,570,170,638,691,526,096,103,835,372,620,267,171,819,329,576,527,
457,703,403,813,273,685,471,222,428,513,087,500,651,045,723,800,478,518,967,
856,764,542,522,127,617,172,109,097,569,396,310,867,227,140,538,940,805,844,
408,098,733,821,895,573,622,312,725,415,388,068,117,536,583,358,328,708,104,
685,780,226,116,577,405,935,722,665,934,232,292,239,460,530,041,746,117,462,
336,729,795,073,385,831,133,373,988,108,447,585,010,839,077,081,817,777,836,
696,955,107,213,808,896,586,179,498,228,568,932,814,016,248,832,783,917,734,
775,258,024,839,964,860,571,560,780,365,536,518,477,097,049,865,344,439,498,
922,879,400,640,611,299,290,359,196,178,937,795,293,442,821,082,835,703,662,
278,557,625,114,007,419,776,834,713,129,196,878,862,506,051,853,447,797,997,
323,909,321,585,373,153,765,777,050,515,724,348,777,329,529,200,999,834,819,
318,767,979,737,713,188,249,097,868,762,176,677,184,331,879,727,944,173,130,
963,451,918,781,120,785,668,322,112,444,119,863,625,608,660,676,700,285,864,
860,626,571,358,496,521,112,983,475,217,348,811,724,143,440,455,576,833,850,
915,793,565,406,764,742,363,448,462,897,713,921,629,665,899,962,264,130,957,
456,977,635,058,537,097,785,020,850,347,693,796,399,900,255,473,524,184,627,
541,934,395,118,892,712,898,462,616,679,066,454,289,891,702,788,989,282,575,
413,865,025,767,424,985,531,318,884,536,681,271,721,424,559,152,257,690,640,
919,506,134,907,483,471,529,575,618,333,003,774,003,101,921,043,481,877,322,
435,930,305,418,786,272,303,544,015,584,612,526,601,955,371,239,699,440,342,
181,663,596,039,843,603,375,854,550,273,593,311,064,728,543,579,722,172,705,
859,326,194,550,375,389,334,776,167,421,741,391,399,846,414,364,755,912,900,
366,107,395,653,337,791,506,525,094,927,965,973,654,692,231,355,377,666,787,
374,322,337,426,893,507,546,179,179,064,669,780,095,896,690,386,081,806,344,
562,450,285,323,565,664,218,741,579,502,686,924,037,968,601,373,678,670,492,
346,091,197,115,189,456,984,750,187,576,305,758,089,281,503,869,635,628,833,
874,003,532,523,697,019,200,082,534,953,720,783,482,405,279,886,780,388,022,
025,971,901,933,325,457,085,836,089,325,872,897,866,490,582,365,350,856,476,
254,109,627,300,338,231,400,598,883,168,938,851,674,472,902,060,571,109,674,
849,731,547,484,146,908,815,605,578,280,769,234,455,723,299,129,917,256,812,
902,266,999,665,265,766,419,995,556,268,895,504,713,907,568,910,288,001,299,
676,858,693,110,674,856,195,992,901,749,373,397,867,754,534,701,895,397,766,
614,647,391,588,128,271,173,936,204,420,461,476,732,653,371,836,081,860,270,
320,440,909,670,785,659,878,515,048,612,886,476,903,639,255,081,116,621,673,
902,450,432,807,119,989,146,072,873,262,236,088,227,560,599,985,694,748,747,
200,916,777,007,311,648,200,762,216,968,124,017,570,606,676,484,790,583,446,
992,499,623,999,124,715,056,638,170,835,520,592,449,265,524,521,894,048,167,
458,742,878,348,052,133,372,624,867,834,910,956,539,116,744,120,687,584,101,
411,229,168,779,664,413,614,572,033,065,518,904,009,140,099,170,292,092,165,
793,780,077,740,346,134,672,861,454,886,849,726,855,936,021,720,267,424,933,
497,854,328,036,898,026,762,238,203,452,910,145,721,498,436,837,012,039,890,
705,839,733,363,508,495,260,000,125,760,418,217,036,663,105,917,916,092,087,
592,932,313,619,172,981,999,771,199,791,769,975,404,384,850,036,018,445,682,
325,173,394,315,128,644,394,378,947,520,587,626,610,133,828,120,909,494,476,
774,852,779,959,856,519,810,115,410,436,917,522,507,732,809,500,530,441,265,
321,920,051,003,103,836,058,460,537,100,048,986,240,353,518,620,152,140,805,
735,491,244,804,607,741,489,522,693,648,140,161,089,575,336,342,418,841,413,
091,301,057,462,671,457,520,208,959,705,686,401,939,819,876,325,755,369,056,
989,193,391,497,060,387,164,877,583,796,127,132,225,740,143,414,342,343,256,
623,358,388,687,847,653,924,725,909,221,694,924,220,652,621,203,010,909,132,
636,813,248,767,685,303,358,056,840,386,769,440,733,957,865,542,352,819,578,
210,983,102,618,297,376,597,588,253,520,031,042,134,934,753,095,530,017,449,
077,477,965,664,475,019,557,295,396,037,303,222,430,817,769,524,044,827,292,
798,768,173,151,260,350,972,206,379,286,888,485,882,260,068,951,869,126,186,
551,385,192,995,862,625,877,137,809,851,371,087,800,076,924,712,244,485,780,
363,291,208,338,040,164,730,713,707,816,102,752,762,147,063,779,978,653,638,
267,697,816,817,624,279,382,874,302,209,590,704,609,092,073,030,370,300,604,
868,279,084,379,456,791,437,864,151,164,672,377,920,066,435,759,802,067,971,
242,768,345,638,639,068,731,872,627,883,434,939,207,003,752,583,939,741,663,
497,975,288,782,976,865,798,798,044,061,016,077,202,943,990,828,732,360,318,
325,871,337,596,320,681,465,326,579,726,649,814,796,014,181,631,218,902,173,
525,174,258,561,243,832,260,337,494,600,214,013,913,830,484,876,540,828,572,
066,791,871,220,954,360,003,824,070,701,141,281,257,298,215,473,732,245,350,
643,974,071,152,926,234,437,669,575,050,974,842,910,527,800,461,961,819,274,
668,918,800,737,470,927,480,097,401,403,971,423,504,004,156,270,520,394,711,
529,856,612,879,567,674,871,244,236,945,302,478,421,099,520,124,853,390,673,
033,608,028,576,994,960,394,530,825,998,933,791,130,607,719,856,936,521,505,
222,799,798,463,899,072,064,692,568,174,449,877,493,793,366,901,193,302,402,
181,891,428,683,979,859,042,167,962,284,804,207,075,791,740,203,748,827,278,
572,771,407,239,702,791,513,390,441,362,851,365,609,172,675,548,585,830,884,
128,264,789,483,022,928,655,329,515,232,299,312,840,491,496,583,193,229,115,
618,316,238,027,563,598,754,213,634,901,878,262,764,739,458,804,900,276,170,
616,193,119,536,379,286,916,682,079,265,007,281,389,086,341,789,449,189,495,
012,840,004,868,749,231,818,969,104,581,885,029,483,395,621,868,074,118,836,
376,120,320,551,188,189,253,439,868,746,950,493,126,023,040,802,341,492,817,
567,382,315,761,605,530,681,866,026,569,034,063,269,464,125,331,888,758,779,
436,925,749,717,581,855,351,143,306,507,358,019,512,577,052,730,990,611,178,
976,102,531,329,882,304,420,441,381,045,824,070,093,866,788,518,303,376,228,
198,586,085,586,833,202,174,369,405,142,115,865,421,015,380,312,275,921,059,
557,029,561,031,633,506,550,694,876,420,799,453,318,676,009,605,465,922,359,
306,092,036,561,554,568,086,807,775,540,792,046,687,241,157,363,779,438,042,
099,558,288,749,568,678,576,411,711,584,004,433,124,785,324,568,288,512,662,
887,019,057,456,269,076,538,227,858,417,475,777,103,013,442,676,997,554,640,
948,633,193,474,275,169,172,200,678,486,206,773,697,796,707,598,624,645,923,
714,851,886,526,784,027,651,520,405,311,096,615,345,767,712,558,275,007,970,
477,665,379,362,633,355,734,270,882,594,060,114,131,056,574,301,996,046,334,
076,711,442,402,759,402,831,241,252,801,605,197,351,749,232,589,397,029,473,
277,368,506,509,841,760,635,190,607,210,137,430,588,018,446,704,329,543,569,
268,631,557,298,769,963,186,616,494,187,600,632,092,789,264,069,631,182,239,
956,662,703,008,124,901,193,927,755,035,591,166,566,967,297,653,900,778,645,
701,769,760,471,032,449,719,499,586,416,263,770,279,938,820,261,580,882,260,
382,617,956,103,193,421,381,878,802,413,622,627,909,321,030,025,215,719,737,
978,077,190,750,672,021,966,529,604,906,625,957,377,162,734,290,607,862,026,
996,184,477,793,067,788,259,517,312,846,440,832,162,916,348,263,146,439,983,
751,798,930,042,766,698,574,717,882,732,609,855,949,827,106,843,472,050,628,
186,342,245,709,536,082,957,867,154,681,518,859,804,198,198,096,833,926,067,
991,063,356,217,487,980,635,663,150,600,078,781,044,271,594,200,689,674,377,
517,009,159,417,669,642,675,429,640,809,613,966,598,223,586,032,472,496,228,
033,752,137,533,712,746,401,302,426,895,964,338,801,388,953,942,009,774,000,
848,879,639,309,854,374,840,139,560,361,990,020,464,326,757,129,980,712,056,
821,198,771,308,958,281,306,637,183,584,148,718,123,587,237,529,999,008,934,
743,145,266,497,164,128,402,446,796,800,580,086,468,090,737,262,060,367,651,
652,053,217,864,397,079,761,413,358,249,717,968,130,687,263,105,846,372,824,
199,111,931,118,274,309,472,040,242,993,118,812,753,369,272,100,761,783,846,
787,025,874,168,989,845,331,024,503,220,126,436,850,558,452,638,055,309,650,
436,540,576,344,773,330,104,998,035,871,577,961,009,316,223,985,314,169,148,
633,584,146,337,309,026,638,782,671,740,346,152,044,308,793,347,378,274,838,
695,267,305,906,289,058,560,178,183,353,155,858,290,155,337,913,749,446,893,
183,036,456,211,220,599,669,303,068,663,062,623,536,687,744,883,209,915,582,
311,532,441,756,600,869,794,517,538,183,937,440,052,876,759,806,851,384,027,
311,519,010,300,311,687,920,920,124,604,981,954,036,746,312,610,405,491,525,
080,629,293,723,746,935,113,751,865,560,234,925,126,078,502,515,558,786,489,
280,210,226,485,342,765,107,109,263,549,357,398,540,224,172,923,203,103,325,
292,464,550,514,031,291,646,049,378,510,607,186,480,200,593,809,931,878,261,
361,697,558,604,764,404,348,664,564,185,600,509,886,647,237,764,157,890,456,
362,067,868,161,656,830,365,600,748,347,687,751,042,731,119,376,305,066,886,
216,616,029,133,941,323,675,950,274,326,171,426,746,694,422,035,286,731,891,
604,186,986,198,690,950,140,029,505,867,296,004,168,219,963,461,832,769,846,
850,104,274,206,174,844,345,509,586,835,808,224,573,288,860,253,977,459,940,
972,796,033,318,390,092,256,495,966,069,403,107,419,839,366,543,765,162,110,
430,370,589,199,009,892,924,490,633,081,923,371,953,032,574,349,607,012,798,
442,371,161,727,268,570,640,422,711,516,787,504,174,226,648,227,142,883,531,
763,018,698,672,103,154,522,842,147,214,135,592,911,365,251,026,970,375,391,
640,975,038,381,358,371,294,971,491,937,989,570,921,436,729,665,790,118,065,
883,955,070,881,661,001,828,479,039,776,432,006,835,545,322,267,375,876,902,
044,249,240,783,645,999,882,647,297,951,427,111,417,547,455,127,138,854,646,
526,744,337,336,768,026,015,249,084,310,713,031,274,347,545,986,036,984,872,
295,456,049,966,373,879,463,307,734,639,855,049,050,008,882,889,773,427,383,
616,633,887,166,200,068,528,224,928,998,405,131,465,058,783,408,622,525,770,
778,032,235,325,309,177,725,851,135,176,434,205,062,978,433,279,928,432,798,
584,568,201,107,315,590,938,436,091,411,759,614,930,763,641,590,075,368,832,
485,304,967,286,917,175,838,341,583,110,422,668,419,159,968,309,746,097,219,
134,900,111,212,613,763,319,597,479,037,178,698,811,774,525,523,546,120,095,
023,171,317,397,405,951,678,155,741,405,949,162,224,135,239,943,596,968,691,
577,104,745,942,727,387,689,253,322,717,110,712,288,854,925,473,528,552,860,
358,447,076,435,040,482,790,882,975,665,061,614,472,140,183,241,540,473,367,
853,901,933,393,822,443,192,379,890,440,813,319,915,067,356,103,737,043,851,
622,801,883,102,391,082,744,682,454,543,537,421,563,039,393,243,542,226,241,
190,761,195,841,650,404,397,638,853,600,361,655,892,768,202,812,132,983,513,
004,080,678,590,699,981,605,685,190,007,466,861,636,109,424,242,978,753,399,
520,573,092,801,331,487,331,863,992,172,151,215,871,017,241,947,105,010,775,
011,424,805,564,961,788,718,817,126,244,869,658,781,346,843,356,419,747,902,
847,058,326,203,265,009,132,009,999,583,311,732,048,705,312,588,983,454,251,
664,906,462,332,347,690,202,527,555,055,980,472,855,361,202,833,898,322,434,
148,285,835,448,870,326,538,191,520,808,082,378,910,546,481,966,067,784,473,
781,069,858,461,082,732,442,271,797,707,111,455,428,775,135,280,497,299,618,
519,150,774,637,971,988,291,576,312,539,384,616,028,942,490,334,759,758,696,
008,601,563,164,156,881,144,889,699,416,905,183,799,780,388,911,843,806,220,
808,260,997,443,331,975,959,976,393,903,263,368,823,929,565,423,457,649,245,
057,136,808,192,506,947,469,181,277,870,656,499,644,440,987,836,148,916,162,
931,513,703,732,279,606,258,355,561,582,030,083,065,043,964,352,919,522,799,
453,112,524,244,658,618,945,128,711,600,213,595,857,337,233,309,567,338,839,
527,684,598,842,033,617,460,501,582,537,527,858,442,037,218,835,447,474,583,
114,824,229,818,960,969,279,635,676,139,607,392,700,707,108,683,312,633,284,
700,227,318,525,478,822,823,893,006,579,784,463,786,312,382,343,447,233,753,
859,969,150,792,080,214,873,631,728,770,728,543,115,862,367,035,895,060,714,
359,303,939,336,390,147,340,847,128,596,517,644,857,258,160,479,607,289,090,
662,220,175,921,099,529,009,171,362,373,211,961,686,817,459,889,557,237,900,
191,931,653,133,739,310,068,799,132,406,388,905,565,880,164,248,190,729,368,
868,340,349,296,803,139,717,348,681,657,789,262,659,915,224,646,557,705,570,
895,336,776,305,585,715,527,256,473,080,856,572,818,550,594,352,175,416,497,
729,636,050,710,123,218,701,983,820,852,769,375,978,623,693,845,922,381,224,
943,870,774,445,097,140,731,461,397,243,475,121,980,926,781,309,549,023,712,
492,112,415,256,968,901,359,009,954,610,916,326,488,356,747,084,674,301,560,
864,628,925,631,100,405,675,521,185,620,091,062,117,198,067,112,901,677,697,
009,038,341,620,135,605,795,602,416,449,366,475,123,287,229,244,692,756,751,
047,876,655,814,258,281,010,599,810,977,850,720,675,159,392,099,794,866,393,
541,693,009,266,365,462,836,849,608,878,624,892,936,107,956,441,339,893,489,
399,742,272,523,161,277,094,647,725,566,765,643,215,409,612,698,448,805,480,
658,026,907,835,462,136,353,129,337,068,468,897,365,595,080,422,473,974,331,
276,659,989,696,086,329,588,803,538,169,241,408,646,495,887,819,590,289,809,
604,527,444,108,231,808,943,713,444,428,680,244,553,305,005,004,731,472,028,
690,751,092,329,077,437,180,035,538,844,201,510,050,481,759,098,727,712,580,
252,064,115,877,664,176,496,864,786,528,397,118,810,123,156,165,261,301,836,
769,655,236,276,086,553,707,872,184,328,045,949,520,253,715,340,391,715,652,
437,813,648,692,131,363,087,469,160,604,324,442,491,294,818,821,254,201,458,
171,199,878,594,720,888,220,059,128,440,143,607,651,378,499,561,865,628,222,
916,499,386,468,844,158,449,475,729,805,882,787,573,361,662,599,705,151,688,
988,291,697,544,823,993,871,021,742,459,731,392,130,394,104,329,917,990,549,
357,857,087,834,058,788,465,871,691,918,738,379,387,808,530,547,549,364,597,
787,033,026,114,994,301,104,840,292,213,954,403,258,096,057,721,516,013,835,
857,196,909,700,569,555,445,933,253,645,040,704,125,363,059,797,340,303,313,
877,595,561,606,877,494,369,014,779,591,652,046,629,505,762,521,201,392,964,
291,969,031,690,223,829,745,585,423,014,707,122,284,713,786,063,351,449,961,
412,999,532,759,939,535,254,716,716,287,358,506,245,830,496,637,267,570,120,
428,425,346,881,224,619,850,372,849,672,154,211,347,965,112,190,575,275,606,
222,495,085,729,249,747,211,284,966,498,012,212,859,417,420,276,949,881,465,
525,124,577,363,870,483,471,837,395,797,897,774,201,982,953,976,012,096,524,
073,950,277,140,339,026,066,915,965,281,339,789,128,642,325,120,765,577,240,
420,867,144,404,799,317,736,750,110,487,485,893,522,909,517,342,655,158,190,
515,675,816,844,229,848,753,131,774,546,776,959,584,780,529,878,140,721,339,
991,012,331,961,598,377,932,384,857,725,262,003,287,794,269,789,279,886,403,
496,747,668,872,180,456,126,718,246,255,511,809,557,008,674,139,156,227,332,
442,784,552,690,032,439,402,277,263,357,766,395,865,803,486,922,498,147,867,
001,164,365,077,049,172,229,163,997,749,623,172,128,697,456,676,501,528,506,
859,526,253,962,832,885,036,098,369,515,982,837,129,272,336,563,518,802,124,
171,898,292,941,106,898,073,874,165,361,211,657,024,890,298,790,931,416,129,
723,032,132,226,065,959,291,548,776,368,852,057,886,955,619,366,212,558,903,
791,035,224,611,847,342,012,411,670,082,023,307,113,771,052,034,145,648,403,
040,163,280,973,604,007,047,947,512,250,788,723,216,060,961,218,618,515,378,
316,229,136,682,292,890,882,274,354,752,339,793,508,536,287,624,974,911,133,
387,119,201,577,693,540,548,436,187,258,791,452,619,051,449,764,128,493,214,
902,038,936,158,016,216,056,161,220,047,016,811,005,994,379,288,861,567,532,
429,413,501,649,365,776,971,789,785,986,339,795,755,228,704,556,880,227,249,
904,749,800,265,019,299,901,963,308,630,683,345,970,112,584,945,874,558,833,
168,844,715,751,501,185,467,204,809,854,601,326,249,263,535,448,638,088,970,
612,973,951,669,224,779,373,794,143,253,390,309,073,162,277,024,170,054,835,
203,500,061,542,457,544,446,783,848,294,399,703,173,770,107,170,833,080,242,
492,664,647,448,010,539,132,954,435,810,596,806,278,689,798,119,712,818,360,
766,084,556,208,021,483,361,220,388,739,449,634,792,769,727,296,382,670,622,
297,723,275,579,323,932,438,309,635,075,735,177,761,739,942,556,800,829,378,
540,006,731,203,916,202,538,500,507,442,285,242,514,786,752,122,293,491,629,
314,083,010,338,883,364,101,174,601,289,488,813,537,045,536,362,647,019,065,
183,655,203,346,349,813,535,672,507,640,874,812,956,478,732,384,033,097,969,
184,568,238,103,262,200,323,160,253,694,899,617,199,050,744,198,471,886,036,
525,063,146,603,630,337,257,810,571,279,557,809,886,953,887,547,181,140,345,
760,970,014,572,841,339,530,002,004,783,275,890,434,099,703,726,629,093,127,
448,945,463,359,764,205,058,345,686,456,480,046,614,478,056,575,776,818,509,
767,021,281,013,098,174,545,543,527,333,862,342,431,678,873,490,247,307,514,
083,114,972,691,593,303,087,133,128,840,226,068,504,512,169,927,097,146,778,
849,768,508,567,307,864,268,850,313,170,592,967,705,941,665,942,990,987,466,
081,430,088,116,822,379,902,715,421,496,198,758,123,211,682,352,910,782,087,
370,821,579,184,820,580,436,188,166,938,990,901,617,904,381,712,479,270,149,
185,038,288,637,966,351,239,616,769,892,658,719,614,290,517,118,291,767,618,
346,603,192,805,547,785,879,294,280,513,060,001,645,305,164,577,318,058,738,
985,673,487,597,838,277,157,666,326,591,336,301,012,362,311,591,031,780,581,
824,767,663,718,233,479,251,515,262,325,028,451,840,288,768,344,605,809,311,
180,971,132,781,713,215,725,202,662,277,243,822,190,680,962,599,599,900,595,
339,861,803,515,127,709,992,438,346,746,541,589,553,203,318,480,407,599,969,
116,708,716,359,785,862,115,533,139,014,023,685,000,144,017,842,193,081,790,
267,991,760,618,447,082,508,071,700,687,659,887,093,317,671,323,244,693,849,
885,759,023,240,181,332,077,552,253,112,561,755,210,245,851,151,451,943,164,
644,060,802,249,074,665,376,391,011,592,769,248,858,369,393,042,915,210,356,
118,596,148,594,389,270,060,784,023,215,242,202,519,242,164,987,061,314,420,
466,520,324,802,862,445,795,657,433,237,963,289,907,598,122,273,901,554,663,
598,198,985,777,595,297,686,666,951,858,327,644,346,311,441,471,024,639,443,
978,415,649,645,184,967,038,841,623,681,388,687,622,828,600,014,425,223,826,
947,410,925,621,750,688,568,703,875,100,021,480,017,520,411,856,042,530,065,
424,043,032,018,658,290,094,601,860,086,228,692,626,606,748,852,519,622,756,
489,136,778,838,295,140,005,146,220,274,128,729,107,524,833,817,461,784,045,
968,110,560,026,441,219,427,057,868,817,515,514,528,212,964,633,299,048,416,
321,036,088,616,393,774,315,069,551,827,251,265,749,375,827,255,767,388,764,
454,006,136,826,668,958,050,584,671,459,074,785,621,591,839,593,035,936,994,
718,090,319,392,414,915,859,193,752,323,494,638,386,764,242,642,713,534,180,
656,743,731,178,981,308,822,687,126,294,555,235,294,415,005,941,923,992,524,
895,765,750,095,405,186,972,854,327,024,854,184,511,699,160,201,265,218,293,
351,912,103,595,137,852,720,724,797,568,874,826,527,046,181,353,458,863,226,
600,986,514,161,059,300,621,925,379,938,710,005,553,277,530,031,500,351,443,
443,930,967,425,638,178,906,561,863,925,573,690,931,147,426,621,351,072,196,
994,684,175,194,162,906,103,380,655,198,010,979,235,299,376,634,595,990,835,
216,686,641,968,279,635,203,761,062,799,059,026,321,937,731,832,250,081,490,
974,316,554,719,066,836,955,794,581,145,083,776,852,373,441,161,335,834,962,
137,311,933,421,305,348,504,963,306,616,051,276,604,347,643,916,706,690,015,
165,990,197,391,106,706,703,528,324,265,268,107,677,775,082,910,746,885,153,
382,425,637,327,283,539,793,430,822,422,189,469,985,888,861,033,188,407,188,
428,291,146,607,792,750,036,016,806,805,283,126,201,210,958,714,030,651,537,
190,914,652,524,866,731,775,824,264,615,828,104,974,300,010,032,502,867,958,
150,010,457,507,484,812,198,758,299,243,437,837,818,845,608,947,219,162,648,
184,549,305,037,381,835,629,053,401,093,164,227,351,184,673,480,010,921,239,
454,007,812,319,218,801,706,492,077,747,532,531,692,547,996,620,552,455,902,
372,814,966,626,408,006,082,488,181,042,530,044,369,345,776,327,852,829,357,
804,687,440,620,430,625,051,678,355,944,038,044,539,624,867,938,167,148,005,
412,992,839,966,258,393,320,805,326,496,270,961,432,125,842,291,041,883,659,
718,377,862,254,272,524,326,722,032,739,849,210,551,828,627,182,278,479,575,
147,663,364,635,730,613,230,613,222,011,548,612,708,450,644,909,416,675,993,
071,740,019,329,586,615,626,079,976,250,761,212,219,382,953,963,850,275,451,
276,845,948,035,283,145,726,530,811,786,481,745,605,847,881,200,694,447,069,
255,622,870,369,354,892,835,178,709,026,872,757,914,979,916,629,870,547,400,
773,902,353,825,863,440,104,546,523,950,585,525,146,528,484,483,366,622,750,
089,353,784,465,428,842,853,952,335,154,071,189,662,167,585,378,957,791,118,
678,063,308,036,976,415,199,553,561,145,512,260,725,498,574,634,836,996,993,
703,495,282,179,169,280,697,238,756,769,995,759,738,706,590,322,447,466,197,
826,240,202,396,805,913,545,773,129,349,481,447,869,115,687,212,376,737,198,
436,254,285,468,560,285,280,559,685,018,355,468,123,234,502,288,942,976,751,
265,973,363,348,565,188,203,839,598,271,121,370,956,754,594,014,107,385,049,
926,633,285,894,764,095,838,672,554,919,700,001,115,210,867,843,744,054,388,
756,811,142,903,586,675,003,614,426,088,934,172,259,109,384,655,545,986,111,
985,410,278,167,594,152,099,441,421,834,989,574,751,011,556,593,039,360,032,
736,385,763,011,309,937,044,640,659,909,775,268,288,630,454,372,531,119,613,
217,577,912,469,549,564,607,612,762,302,027,206,250,916,488,156,832,060,523,
363,102,440,315,338,763,489,725,494,131,536,194,988,944,530,485,683,653,488,
803,816,118,969,230,065,456,779,069,690,649,981,260,233,260,860,358,721,489,
962,436,211,785,061,695,138,786,523,997,282,631,222,074,421,335,419,583,673,
582,446,582,368,419,073,156,527,940,334,579,201,041,839,858,440,759,391,686,
652,775,754,386,062,247,803,453,716,882,699,217,807,711,761,204,420,479,941,
133,376,545,770,652,056,723,593,835,712,404,972,745,937,674,987,740,137,296,
804,307,819,431,757,945,166,852,839,185,743,595,207,732,949,755,775,509,358,
891,655,568,127,114,951,414,439,337,691,158,222,216,369,244,232,283,755,113,
761,022,421,026,141,845,487,458,534,388,601,528,290,531,652,749,537,016,871,
689,652,626,471,973,638,590,038,058,409,222,189,265,262,684,451,861,623,316,
070,606,611,237,272,938,782,188,011,235,830,262,421,350,118,272,116,569,474,
165,813,964,885,868,366,041,925,198,683,327,486,955,208,466,075,805,606,159,
792,589,054,499,073,456,440,458,943,335,821,671,321,328,063,858,205,602,696,
769,683,434,910,665,236,642,956,742,717,053,155,949,424,990,167,513,724,686,
344,681,329,178,845,804,181,826,288,851,112,017,922,867,826,583,730,741,368,
787,252,949,980,736,361,020,360,473,837,269,688,496,828,100,617,882,416,467,
423,053,942,635,161,111,033,724,332,433,345,817,306,634,183,101,336,803,251,
634,957,588,966,966,811,043,899,182,536,132,153,810,455,823,124,706,394,027,
244,086,853,036,300,536,107,771,927,796,272,196,419,266,399,492,250,150,665,
849,099,964,352,508,210,066,598,201,987,555,760,256,214,496,710,633,368,341,
386,892,628,859,024,555,404,429,570,718,331,155,829,239,538,753,663,509,626,
108,389,396,944,484,549,470,288,584,767,133,517,821,870,538,450,810,858,672,
361,148,004,964,502,531,366,201,771,780,813,552,805,872,568,565,270,203,414,
790,365,811,043,985,127,548,469,076,043,226,104,744,338,213,713,827,862,678,
534,788,262,923,043,860,812,013,439,851,905,667,391,390,267,217,642,415,195,
538,131,185,391,471,733,853,545,234,876,425,275,160,740,942,851,503,493,285,
944,062,590,093,396,250,213,851,493,351,362,562,684,649,152,243,255,520,877,
814,780,860,955,922,261,907,368,358,020,777,864,162,665,676,341,126,979,837,
747,552,674,768,443,034,244,831,817,823,700,345,592,171,236,074,735,749,170,
306,007,636,954,988,174,983,973,272,600,194,428,918,114,143,927,151,101,009,
714,397,444,491,776,290,336,791,005,428,757,860,557,185,898,594,856,620,546,
169,329,515,541,537,995,933,133,647,129,716,678,158,341,970,957,283,711,692,
238,045,257,684,483,631,008,002,231,777,036,154,564,720,449,403,224,364,330,
765,974,476,940,418,402,053,558,495,943,902,553,658,274,753,279,553,099,882,
600,873,914,708,283,363,497,851,654,193,146,457,614,106,751,662,996,352,292,
860,427,613,163,070,499,024,882,016,335,087,743,437,040,710,941,369,538,355,
268,500,789,498,283,258,158,953,867,369,954,300,981,023,985,784,876,384,204,
395,015,396,787,393,636,807,824,937,859,427,069,890,916,458,101,679,751,741,
210,782,677,871,173,777,740,035,601,348,767,294,433,386,352,250,810,157,003,
596,606,755,703,134,154,544,424,705,170,063,239,056,316,417,376,799,009,466,
041,184,320,124,302,029,147,707,252,187,845,323,679,048,078,347,810,537,476,
389,701,277,636,610,911,298,064,426,587,083,724,806,456,198,250,297,666,612,
356,139,782,562,140,635,940,729,602,227,181,026,989,348,976,688,264,668,390,
515,451,092,581,234,777,844,375,240,767,846,949,548,434,552,121,173,533,967,
818,370,416,106,118,775,150,638,137,324,473,279,514,851,606,183,566,450,598,
098,265,482,464,620,671,172,062,422,323,541,282,738,007,095,496,731,480,266,
494,819,248,998,636,691,921,217,823,104,260,317,780,534,641,851,172,826,390,
398,034,173,275,966,694,015,372,642,268,730,241,311,272,435,577,939,627,712,
428,265,689,605,886,542,579,317,378,651,272,031,674,868,807,470,028,954,201,
063,825,802,144,955,680,133,727,948,689,297,108,737,310,980,509,287,791,527,
185,414,168,438,940,281,373,612,644,783,581,573,502,137,378,390,425,655,032,
347,591,957,652,753,313,148,567,568,629,735,350,112,832,924,682,976,514,874,
068,553,425,644,308,036,329,253,669,574,275,604,463,573,985,855,852,791,756,
556,199,589,320,782,216,144,703,568,666,881,740,009,301,023,281,619,617,555,
049,603,911,700,789,172,949,370,724,448,432,698,901,808,081,259,421,808,839,
109,418,588,777,243,127,526,801,396,545,217,214,960,654,101,624,882,526,775,
734,705,629,275,196,846,804,348,519,394,449,041,416,679,352,483,879,672,483,
992,522,033,100,684,431,297,599,703,536,623,366,528,270,417,734,227,533,421,
276,657,821,068,143,276,920,680,346,724,763,053,829,264,955,648,460,233,760,
148,398,959,630,569,958,457,904,698,458,490,267,349,382,856,082,156,150,166,
298,619,233,804,167,804,128,772,859,234,805,113,330,581,540,671,683,511,109,
825,456,940,542,101,118,275,877,849,200,534,001,771,403,992,861,567,003,829,
651,585,345,178,729,351,429,265,161,317,616,150,683,499,654,675,590,469,185,
971,300,966,217,073,073,896,888,628,385,770,814,550,304,700,225,214,546,075,
860,664,612,926,695,120,656,234,906,087,116,111,445,479,374,661,108,716,660,
976,762,025,057,907,252,845,988,463,743,579,808,293,253,032,024,669,199,536,
149,850,436,197,536,443,669,756,172,075,436,963,625,262,034,086,947,820,978,
471,811,112,615,495,236,611,378,568,977,195,877,609,085,226,876,421,456,221,
189,180,248,239,269,479,621,367,499,206,244,772,025,341,711,945,753,325,862,
953,417,189,572,024,938,074,952,959,519,894,429,536,249,622,286,846,655,862,
553,893,726,907,725,235,316,627,522,107,702,051,912,902,009,354,925,127,835,
604,691,106,336,823,281,216,493,560,851,353,261,041,021,672,736,848,610,878,
269,652,452,637,254,459,702,009,130,370,251,517,070,721,839,653,080,136,193,
427,281,182,446,587,339,071,613,726,375,402,810,621,597,485,654,540,497,635,
832,148,806,542,630,212,606,924,383,797,652,192,028,288,929,385,811,309,188,
952,621,268,681,853,813,987,909,805,688,920,194,389,253,822,219,618,490,112,
523,461,139,660,892,410,674,391,551,467,078,972,014,881,714,857,118,966,275,
103,482,650,859,752,379,408,102,546,533,375,517,627,101,324,830,908,117,675,
733,161,017,204,713,973,787,708,171,109,240,517,630,490,991,478,409,642,175,
142,021,105,066,366,769,506,540,006,977,723,285,652,379,610,485,111,280,892,
139,217,480,792,972,542,080,986,584,805,281,402,684,724,777,427,550,744,695,
123,806,559,262,980,032,604,226,727,215,254,840,074,748,825,461,565,866,376,
573,717,434,470,819,648,126,712,509,848,271,376,745,956,192,820,584,866,838,
026,314,497,319,158,228,000,850,690,882,642,526,874,778,502,366,479,873,809,
915,260,485,024,086,223,008,592,101,675,423,120,221,942,230,241,429,330,735,
324,739,088,427,462,945,090,816,406,076,876,708,701,399,678,261,910,218,893,
325,525,233,476,764,780,617,494,461,435,046,686,002,609,352,885,247,694,346,
852,889,526,134,469,261,333,078,204,579,934,639,310,866,116,350,434,065,464,
592,482,074,594,163,815,890,329,851,164,381,625,668,251,863,219,987,108,386,
515,710,348,141,071,968,491,128,284,539,625,279,298,523,680,972,824,736,987,
817,673,294,710,100,743,462,953,329,253,481,791,577,847,580,602,853,683,406,
661,760,127,851,974,243,865,898,375,486,444,984,892,203,013,412,623,358,461,
067,251,654,925,859,075,390,912,705,611,870,473,373,081,391,413,625,535,848,
664,439,884,409,819,638,793,932,757,944,273,804,127,614,797,441,692,908,025,
776,453,586,939,304,440,772,770,555,610,372,202,148,555,520,956,166,296,439,
289,684,160,482,636,567,753,433,335,341,395,879,009,793,780,820,587,732,496,
241,240,256,724,930,248,535,912,704,370,015,921,693,752,926,652,476,667,993,
024,001,312,373,257,151,775,768,171,700,813,759,299,917,914,371,935,758,295,
961,976,774,054,056,455,208,595,492,566,507,991,499,626,467,959,497,005,764,
657,306,189,478,685,372,626,000,626,277,532,652,033,703,274,171,711,367,331,
745,072,522,433,924,266,403,530,802,396,268,387,469,883,568,188,744,899,864,
236,327,482,054,545,169,273,331,124,378,466,547,869,404,567,038,641,344,796,
598,622,234,749,575,118,721,517,151,099,980,442,424,440,211,719,307,560,999,
826,664,646,523,637,676,050,193,261,599,914,548,842,105,147,956,683,500,744,
169,523,753,701,007,124,856,732,030,289,736,040,665,962,447,661,836,172,285,
301,114,058,782,378,981,795,398,675,297,237,313,399,629,854,905,067,497,775,
529,459,451,349,022,723,105,550,315,677,204,336,978,265,391,624,861,536,970,
888,149,039,140,457,390,769,111,916,604,278,275,892,028,553,132,123,709,795,
676,052,690,026,112,364,289,630,887,546,644,857,508,823,449,059,732,895,832,
948,224,077,582,537,392,465,692,157,136,886,979,777,760,307,109,251,603,344,
254,995,599,532,172,234,620,859,816,322,173,197,143,601,061,204,261,099,345,
148,596,204,915,514,266,291,559,867,915,593,186,410,951,185,672,647,096,943,
572,061,373,490,833,322,178,072,096,156,067,011,977,210,479,558,790,130,452,
834,933,388,983,867,128,262,550,824,517,622,097,598,085,082,826,045,221,433,
588,723,432,913,836,180,264,475,357,078,482,834,318,140,646,075,011,388,936,
159,058,544,812,452,808,963,375,075,525,586,580,574,655,969,972,833,610,797,
033,780,809,485,123,616,438,249,680,223,597,614,257,892,353,097,272,506,960,
683,597,400,193,300,259,216,333,753,518,860,376,369,826,929,674,916,117,517,
542,912,185,897,303,513,038,385,782,912,817,568,814,843,866,270,700,225,165,
098,196,044,666,032,730,812,713,026,541,935,238,946,569,694,763,052,761,518,
400,534,524,176,906,853,242,721,424,008,303,831,815,174,283,797,641,876,695,
136,391,825,563,121,272,483,447,626,526,138,712,076,093,367,733,960,169,101,
032,921,909,799,596,326,748,042,569,846,159,364,221,580,384,707,213,289,509,
844,213,782,664,975,702,507,787,426,047,638,653,848,164,323,015,236,753,448,
262,328,509,627,429,778,493,748,858,170,812,073,522,255,881,230,874,564,520,
642,645,216,351,924,138,925,248,102,425,923,702,831,324,289,634,351,259,160,
097,557,367,547,039,236,678,909,280,494,538,099,185,613,612,046,684,678,575,
278,797,196,240,429,927,841,635,191,620,376,319,740,024,934,832,611,221,473,
766,609,259,164,292,531,033,252,993,139,459,232,398,448,396,991,241,647,029,
228,989,349,887,208,318,733,410,525,123,769,456,264,815,557,316,117,782,541,
207,423,491,449,852,165,874,198,954,736,689,339,370,736,111,737,576,730,338,
045,319,178,071,457,343,531,228,592,632,819,904,162,302,107,202,626,112,840,
673,920,811,861,476,762,386,616,539,172,443,662,582,540,595,162,084,787,467,
472,039,304,985,954,381,460,805,014,374,156,613,103,969,171,161,934,018,066,
339,253,373,091,231,232,621,427,764,368,015,955,648,726,385,068,653,772,911,
959,957,594,732,620,706,030,637,157,766,640,671,790,217,725,045,881,758,162,
920,584,626,200,691,693,168,322,224,640,785,098,724,083,480,163,887,144,932,
602,572,625,270,007,426,943,111,214,043,202,306,076,992,847,857,036,250,910,
826,069,722,683,505,916,129,800,463,188,335,381,784,944,009,877,157,748,987,
310,086,553,024,358,323,966,216,107,149,798,151,562,642,248,191,069,919,172,
785,830,286,016,322,640,997,695,641,040,888,447,969,496,171,997,572,628,209,
246,624,630,870,059,080,444,392,069,172,182,839,189,317,004,737,762,209,006,
216,122,063,047,030,863,024,285,042,348,622,011,465,383,911,567,976,136,293,
213,544,328,649,951,710,190,242,728,749,608,352,431,711,282,863,202,917,928,
983,150,219,111,406,299,718,685,520,560,462,127,531,646,472,148,768,980,219,
906,504,391,124,900,730,003,911,031,832,831,099,085,944,612,201,212,170,895,
633,644,198,570,279,681,329,686,853,017,542,475,714,526,725,217,356,930,227,
759,057,874,055,851,797,526,346,934,359,092,890,384,009,734,102,042,897,815,
089,179,093,309,633,399,734,834,095,840,423,674,350,528,427,801,257,834,307,
363,725,775,294,248,126,386,628,687,029,409,437,153,470,283,608,995,951,920,
186,829,137,332,297,683,822,216,411,772,665,428,168,770,443,453,007,571,383,
646,590,947,929,483,318,247,939,210,556,784,212,060,028,972,064,633,627,832,
815,951,121,872,949,220,029,237,686,888,814,380,646,005,615,275,808,080,356,
790,380,930,184,241,486,350,799,285,546,926,281,989,133,146,711,595,370,608,
202,745,332,236,428,016,258,436,533,688,224,716,955,322,543,236,837,290,914,
589,084,954,274,757,159,219,581,939,341,880,882,010,745,277,248,213,055,999,
508,648,795,862,226,585,456,002,165,067,576,046,634,012,841,597,006,071,608,
079,737,265,613,427,260,046,282,643,644,508,116,603,358,508,807,639,781,600,
597,388,831,108,678,381,850,200,893,935,052,212,176,202,064,952,508,180,221,
767,775,060,006,990,076,255,418,329,563,121,271,348,954,994,370,969,252,560,
613,887,074,394,850,969,177,016,028,945,352,184,929,433,433,858,159,983,822,
276,734,130,154,789,162,786,340,778,169,875,000,206,794,247,553,392,845,716,
312,183,939,738,550,206,542,123,872,170,586,290,159,643,179,666,823,600,019,
593,085,279,526,772,295,086,163,268,550,289,271,138,180,193,762,739,687,555,
328,396,995,190,591,161,989,856,957,493,312,354,267,327,224,178,981,288,066,
156,818,477,199,059,884,452,154,347,890,740,401,084,769,957,712,600,555,504,
974,121,153,189,952,193,473,515,989,759,626,412,441,462,891,512,638,977,627,
322,850,507,985,862,436,641,323,194,517,770,727,502,788,208,461,619,907,786,
764,350,581,401,551,047,498,439,288,575,651,339,900,918,720,591,645,279,225,
220,395,023,175,190,912,394,291,685,077,448,621,429,182,230,205,939,518,978,
010,617,455,915,366,117,281,032,280,957,348,501,203,371,086,261,578,949,952,
111,351,912,783,708,152,397,979,696,397,360,970,186,707,666,725,713,298,477,
140,305,255,938,083,046,342,601,332,020,515,212,595,950,745,137,017,226,178,
242,867,205,706,784,984,519,997,121,922,976,072,420,692,962,487,164,620,707,
219,136,236,613,270,878,493,360,163,703,629,237,314,811,594,112,604,580,482,
566,107,519,162,079,174,137,972,854,435,880,526,953,179,891,529,619,700,154,
131,176,788,699,798,228,137,686,416,761,185,714,661,448,599,348,229,661,638,
268,500,517,697,678,879,971,244,774,983,524,529,488,143,086,897,644,175,705,
896,348,436,506,496,650,812,660,413,526,529,097,695,706,324,798,934,627,463,
157,007,995,433,126,084,819,144,171,752,067,520,348,871,292,765,486,674,868,
918,049,517,389,230,394,270,092,258,102,383,210,715,535,222,357,326,947,758,
853,411,124,046,406,257,705,649,964,462,404,215,898,128,041,226,646,562,439,
673,324,369,127,279,009,973,393,057,833,947,500,256,402,418,651,195,452,683,
894,447,232,327,853,011,477,576,745,722,447,274,629,290,800,475,118,041,785,
193,101,544,011,503,100,514,022,485,515,245,974,075,193,260,434,593,799,164,
763,188,738,660,153,241,673,434,321,610,402,214,325,683,423,410,225,817,882,
736,543,885,960,768,881,780,336,155,390,203,069,456,732,820,177,901,342,399,
263,758,074,877,765,900,999,304,164,791,633,062,760,609,215,887,122,921,608,
852,558,939,066,294,637,357,797,276,623,667,128,224,098,297,526,430,001,839,
579,519,574,909,997,960,478,550,541,567,679,635,292,113,281,441,928,476,205,
950,004,595,777,750,385,167,479,796,526,354,086,705,305,823,315,044,622,921,
332,394,812,424,780,312,963,733,781,655,674,342,531,309,113,514,782,334,480,
497,259,227,991,491,418,882,925,307,821,239,913,103,292,136,786,605,329,591,
742,861,253,617,384,818,896,183,437,790,580,187,945,154,156,392,720,509,263,
675,639,974,309,719,259,388,148,385,107,386,804,205,794,962,060,291,309,155,
409,189,179,652,111,653,206,756,874,298,040,498,552,720,861,171,682,557,780,
103,751,603,786,001,952,721,759,119,304,071,320,798,541,618,214,368,945,804,
785,887,442,079,555,073,375,371,304,655,667,493,939,179,371,267,675,658,413,
999,782,302,244,828,155,733,401,599,492,707,270,080,651,407,060,392,864,286,
677,567,032,118,157,080,299,700,508,139,498,351,257,784,278,451,478,005,575,
755,355,438,325,644,730,716,071,456,895,114,571,882,008,659,977,272,495,282,
291,056,471,408,555,226,029,518,376,604,695,100,944,151,409,582,791,231,901,
451,117,072,057,245,694,073,446,420,142,683,866,094,157,062,211,429,254,105,
203,206,251,758,890,113,984,222,022,443,422,644,006,499,930,613,236,285,008,
119,800,377,230,278,520,338,959,217,247,124,372,388,388,816,481,740,099,235,
303,421,372,465,595,546,580,609,437,129,459,754,139,567,593,479,678,332,201,
360,603,330,705,087,666,444,270,058,683,425,689,769,459,444,746,521,342,442,
322,551,478,738,426,992,422,962,777,157,104,848,818,649,654,801,411,167,580,
974,999,554,996,470,182,022,495,197,406,241,062,324,505,450,965,680,430,480,
675,432,701,639,007,265,353,154,573,951,383,229,130,978,792,922,567,275,168,
338,064,783,047,288,362,130,382,372,331,530,129,809,393,199,334,659,439,601,
133,783,413,780,436,911,417,639,876,477,294,501,895,257,200,346,166,211,086,
865,123,253,148,647,730,289,934,938,240,263,603,827,500,674,972,724,699,515,
840,124,280,510,762,576,453,106,211,625,308,256,134,999,982,094,411,531,647,
930,171,503,709,012,375,446,494,975,770,628,574,146,742,668,684,924,968,274,
375,917,442,521,930,269,090,366,049,259,112,556,523,147,717,867,749,430,480,
678,317,835,789,168,195,309,154,524,061,868,683,481,164,170,139,468,015,087,
678,934,023,173,995,813,031,291,422,461,356,132,118,073,571,653,497,050,012,
016,616,779,956,931,368,351,164,786,499,818,782,403,972,764,150,808,766,455,
354,292,410,492,213,658,570,279,011,971,300,884,062,195,914,923,230,940,086,
751,177,192,100,857,296,831,153,031,976,274,763,318,158,252,542,894,638,442,
587,678,579,474,034,552,695,783,916,601,925,134,345,705,690,539,430,129,098,
962,640,914,431,113,132,766,473,254,087,654,057,587,543,893,251,379,585,078,
717,543,614,742,898,829,489,359,793,692,423,226,735,596,293,528,357,139,389,
531,691,621,700,077,024,484,413,110,292,235,277,263,754,817,529,934,883,732,
978,630,306,627,825,423,055,211,850,904,901,327,026,274,364,765,044,740,070,
703,597,288,385,469,142,732,753,179,970,617,144,723,511,711,466,981,550,359,
707,999,374,176,312,442,752,850,542,405,217,285,628,356,629,073,956,838,313,
951,315,398,326,602,645,385,809,817,223,494,083,830,173,584,913,572,720,236,
611,344,029,337,046,728,668,672,722,265,037,706,904,174,602,387,000,861,204,
812,090,902,410,447,067,929,281,190,119,283,381,572,914,814,895,570,769,533,
715,172,702,851,675,702,511,020,957,548,984,972,075,217,497,052,680,198,834,
507,619,238,683,156,744,010,970,082,038,902,600,162,284,573,009,986,810,631,
623,538,815,254,301,515,755,979,019,571,778,826,628,576,791,885,173,160,972,
736,867,708,503,008,740,160,076,160,647,286,034,422,411,637,362,770,838,062,
566,307,337,703,078,081,889,646,156,933,243,624,126,423,683,542,454,406,698,
535,416,760,391,347,990,970,470,655,874,129,914,013,120,504,389,292,368,588,
664,865,809,358,876,327,462,630,589,403,082,433,967,315,276,507,420,599,123,
362,313,779,559,043,803,873,343,858,992,168,714,242,336,938,596,127,763,320,
042,712,646,142,420,665,614,400,906,554,604,268,765,882,303,839,984,801,972,
930,119,847,945,651,447,370,885,246,536,511,533,051,242,877,180,598,385,201,
939,951,854,806,745,589,320,078,518,026,823,822,834,974,771,289,146,939,928,
683,389,256,014,281,118,718,506,666,017,387,243,084,716,229,831,932,747,911,
412,360,269,801,840,178,004,524,149,856,153,431,373,103,999,006,457,851,971,
171,516,901,870,532,598,262,274,361,965,378,498,138,129,283,997,476,527,288,
488,504,377,821,297,064,136,069,384,024,417,540,892,476,062,730,548,985,248,
881,151,557,195,931,904,386,436,279,404,852,467,963,885,775,532,528,039,794,
142,798,042,820,459,518,795,712,094,253,234,979,819,462,720,752,609,506,276,
372,385,711,112,506,993,218,871,777,150,994,507,030,544,439,447,330,082,105,
199,334,826,919,059,146,267,237,937,862,814,495,904,591,856,082,245,201,331,
131,383,508,521,487,272,126,672,941,785,909,276,937,862,643,451,513,021,867,
325,267,916,699,638,330,309,745,911,430,394,684,971,066,439,205,846,463,965,
700,712,155,023,559,317,919,993,321,827,811,305,735,069,715,241,922,754,461,
538,576,126,036,912,672,674,147,234,264,301,330,858,315,712,954,577,359,663,
773,256,678,524,258,778,943,881,078,542,236,250,165,954,589,582,509,364,981,
827,733,823,058,125,431,685,635,873,868,288,290,053,547,538,077,401,258,245,
743,391,388,671,747,918,991,402,710,058,921,449,517,110,463,427,104,384,227,
803,667,555,463,710,637,213,368,917,219,171,887,180,522,598,492,065,714,743,
814,567,454,839,150,268,372,398,675,187,205,503,352,544,503,550,839,162,225,
802,644,313,253,846,995,861,544,243,848,595,111,891,589,334,014,578,857,919,
339,774,976,299,399,997,583,311,658,818,782,457,137,881,703,227,640,800,878,
771,343,522,716,445,783,207,474,468,744,732,613,276,419,765,779,164,788,938,
507,025,863,658,191,152,525,762,306,315,144,281,055,510,659,268,460,594,055,
818,481,132,036,761,501,071,799,012,698,316,541,450,845,100,573,944,141,052,
661,823,968,810,049,262,859,467,151,420,960,666,856,643,041,396,914,868,492,
231,099,657,620,719,795,719,416,235,408,195,877,419,215,121,089,959,470,326,
162,648,571,495,963,679,175,239,420,027,334,542,665,887,014,216,938,282,230,
678,308,318,913,014,724,903,263,782,662,962,433,365,634,255,274,596,460,238,
352,109,986,174,921,342,667,673,004,296,117,021,926,626,911,032,063,091,379,
531,620,191,130,057,469,667,531,584,925,814,818,668,266,713,393,509,485,863,
016,049,949,007,564,259,210,538,158,032,256,882,058,176,335,537,646,669,146,
338,611,340,268,285,369,057,469,759,803,075,488,234,590,075,337,989,340,698,
019,133,940,195,419,292,074,835,708,530,517,750,637,971,510,990,460,961,075,
410,989,169,770,097,361,678,479,008,941,672,172,661,939,038,539,330,529,353,
843,790,126,464,149,562,359,809,968,874,736,302,154,469,916,615,144,557,378,
639,595,700,211,104,854,132,622,604,897,322,941,899,186,149,897,164,118,525,
881,098,477,459,873,387,551,232,575,636,827,167,454,982,561,065,882,892,470,
847,687,168,043,828,841,608,725,824,275,228,467,543,561,971,763,478,814,986,
277,375,350,879,688,580,776,866,527,604,153,522,184,486,212,728,880,233,639,
763,626,752,350,549,416,490,121,343,606,459,081,917,583,478,977,534,273,938,
870,783,612,610,882,860,425,269,000,386,095,223,486,460,145,319,444,651,548,
307,116,811,064,466,266,556,845,357,644,381,342,208,434,839,247,444,609,718,
540,418,436,462,137,968,614,205,078,537,305,517,353,747,863,908,806,448,239,
770,462,691,421,265,303,062,914,160,007,444,319,951,046,593,191,566,222,099,
739,933,412,731,547,674,668,703,131,413,315,259,602,457,333,753,633,958,957,
101,746,427,153,627,698,455,444,258,933,042,341,041,028,215,788,463,767,605,
477,178,668,747,672,305,196,811,096,712,679,512,830,129,854,716,470,219,051,
271,167,558,634,357,573,427,343,696,506,198,760,747,180,619,404,255,306,545,
483,151,829,338,309,310,053,247,437,733,995,451,878,363,593,686,652,940,118,
874,847,857,576,030,017,712,389,958,729,695,020,585,638,951,100,855,229,516,
303,432,858,064,786,220,085,703,334,055,449,263,548,465,616,329,912,599,649,
151,189,462,943,084,984,283,524,927,219,499,154,527,393,115,393,868,986,702,
349,660,400,496,097,562,184,762,366,367,903,803,061,044,903,815,272,990,775,
601,299,954,491,862,005,898,986,673,709,163,287,546,476,905,005,194,900,944,
268,635,794,360,231,521,931,205,107,120,701,093,385,776,453,645,372,510,845,
091,658,115,260,149,756,371,806,836,536,066,514,013,488,626,131,585,300,510,
876,778,334,347,741,183,885,456,984,189,157,363,622,489,770,106,296,296,685,
205,166,640,951,206,915,339,635,925,381,493,218,301,602,334,780,244,637,578,
770,140,988,891,586,293,152,740,908,161,455,684,209,090,490,883,441,807,857,
832,124,204,913,398,926,120,021,933,613,634,915,400,135,588,823,083,330,148,
810,999,477,756,935,009,906,896,725,256,403,857,601,455,851,730,198,767,219,
785,673,128,334,534,323,279,311,797,893,353,764,698,238,869,212,254,136,224,
589,458,959,358,386,635,613,342,008,885,793,455,201,119,532,957,814,337,825,
525,461,661,885,598,934,156,161,020,750,457,802,690,887,648,452,616,496,892,
783,625,687,711,391,787,643,768,231,713,592,212,944,805,378,040,614,136,250,
042,690,475,145,741,689,821,242,153,691,635,504,559,459,070,677,558,374,378,
220,072,921,428,033,445,129,334,165,677,231,655,250,698,293,811,482,207,157,
050,726,838,503,614,701,976,546,180,151,195,462,695,469,082,566,833,681,679,
495,230,490,299,903,102,526,898,860,001,895,217,981,024,177,107,321,783,685,
529,774,115,215,111,378,586,444,785,755,853,341,500,154,622,157,236,776,232,
562,839,413,597,031,321,988,923,902,021,651,306,063,824,765,466,583,260,584,
279,111,248,773,384,669,121,114,742,357,020,579,815,409,929,481,947,212,890,
683,488,203,352,576,859,169,588,876,478,085,556,815,033,246,167,173,126,779,
295,837,814,401,467,732,761,039,057,353,555,725,066,185,352,982,017,292,440,
748,017,295,374,049,663,586,318,320,294,619,605,894,890,578,721,815,630,291,
393,129,911,568,151,826,381,869,375,510,903,700,416,559,721,398,588,313,995,
412,251,361,269,575,862,829,554,425,921,111,944,936,567,900,430,827,911,211,
454,367,453,836,496,814,535,624,721,528,367,625,308,260,611,786,078,017,509,
784,603,393,698,976,067,999,511,297,888,684,385,015,558,438,363,374,049,767,
419,952,026,508,404,973,350,877,412,917,908,027,171,456,350,262,758,032,957,
634,601,186,413,897,949,633,626,166,824,832,868,770,611,003,809,978,324,909,
339,584,527,356,620,333,497,214,760,572,908,979,295,078,152,334,717,630,015,
924,180,326,706,466,095,115,026,254,663,968,013,984,385,414,213,446,121,467,
457,441,528,086,523,283,477,850,221,779,100,101,903,570,212,193,067,236,315,
431,874,221,174,601,137,836,493,043,690,968,986,592,130,270,811,569,944,470,
798,594,835,546,055,844,124,128,025,962,054,057,778,257,131,587,182,307,558,
952,786,787,842,086,918,500,060,258,361,233,524,241,567,173,917,023,596,334,
411,468,101,455,830,693,203,387,408,781,211,041,364,782,987,008,557,296,714,
251,368,963,952,766,383,480,278,336,017,992,334,148,774,494,192,893,292,949,
298,806,015,727,650,479,488,493,357,123,776,331,111,309,560,976,249,807,700,
765,825,517,461,215,885,603,756,184,155,146,447,913,862,553,029,098,532,399,
711,393,976,911,261,975,360,123,771,306,074,935,902,515,574,397,949,066,488,
476,493,871,782,686,844,923,606,394,479,332,491,353,689,627,995,617,737,119,
372,133,672,132,952,660,028,547,221,228,931,198,644,655,298,596,692,695,437,
476,801,199,183,008,179,089,065,957,138,602,906,988,571,712,079,301,717,752,
020,952,932,028,886,428,838,388,387,426,139,263,289,267,839,594,940,589,071,
034,205,786,145,917,120,805,411,488,791,978,656,050,964,124,673,089,276,781,
968,637,747,053,092,223,048,071,426,932,553,293,196,742,856,172,068,271,540,
106,053,985,453,083,645,003,111,374,341,447,075,534,682,642,470,475,844,695,
433,786,750,058,545,320,342,641,771,144,950,156,315,413,221,803,023,301,125,
780,104,285,578,690,247,983,047,743,398,293,603,560,185,034,905,377,666,071,
312,587,885,475,661,900,233,305,167,665,011,228,687,498,670,134,003,778,394,
704,306,218,407,882,238,768,646,484,411,594,551,368,633,786,556,582,986,777,
644,449,227,408,741,176,963,610,847,547,455,555,444,063,939,036,103,237,146,
011,130,203,838,186,899,624,443,469,489,682,397,562,341,121,792,847,277,187,
440,144,621,114,536,267,279,808,511,371,745,314,293,652,759,057,313,744,259,
223,381,057,343,885,637,875,688,672,676,253,773,310,592,016,497,092,984,885,
823,656,312,153,350,626,866,718,353,413,662,080,536,402,712,432,023,134,991,
979,011,870,950,822,654,546,183,490,897,743,864,371,742,818,384,874,001,725,
726,508,139,930,790,982,731,633,066,888,642,478,303,863,164,986,914,031,065,
027,559,843,831,468,029,126,906,099,665,637,953,971,455,449,062,713,703,371,
408,552,846,633,871,864,816,037,760,977,441,420,471,048,925,793,990,331,763,
796,342,173,620,220,920,316,846,156,445,790,810,177,701,709,644,646,077,416,
454,624,428,598,442,836,495,075,792,762,515,127,290,153,828,466,201,608,577,
344,178,347,253,058,242,421,975,769,055,095,666,155,296,704,441,736,154,686,
448,549,567,915,216,827,026,987,268,269,428,836,549,812,830,234,092,387,287,
958,066,422,604,656,663,837,149,870,621,318,809,052,579,153,095,131,525,714,
999,055,532,112,043,886,384,891,798,091,176,001,549,538,007,145,056,940,913,
106,759,302,432,140,943,562,306,887,367,887,811,532,937,236,963,620,670,612,
474,450,713,053,173,547,965,174,256,981,159,615,088,996,514,057,767,879,132,
377,087,171,097,497,073,127,720,019,891,431,691,043,407,143,550,160,842,506,
360,184,579,806,680,096,119,647,217,553,698,400,385,793,082,950,609,676,969,
917,299,290,454,147,398,972,950,553,396,383,122,497,706,729,361,168,309,436,
785,222,289,671,252,338,943,394,955,725,606,396,915,425,906,425,498,803,257,
763,416,490,839,812,846,008,183,885,029,284,306,541,559,211,056,448,408,108,
051,413,151,280,069,986,563,307,301,154,005,531,885,347,970,577,015,047,144,
605,440,444,212,813,995,161,295,994,983,772,299,557,211,656,800,199,345,482,
400,611,334,313,109,366,039,750,976,751,839,786,956,474,825,728,005,121,969,
348,232,182,611,596,967,344,761,173,660,783,783,126,293,798,931,698,919,988,
024,019,152,522,543,749,955,222,244,837,094,980,008,305,910,244,141,210,740,
412,224,851,311,626,883,294,113,034,162,329,120,675,623,443,136,291,950,021,
663,961,949,739,660,167,426,514,976,051,288,441,643,110,363,407,197,886,653,
791,713,991,812,315,336,608,363,520,781,784,667,215,576,475,908,405,926,406,
739,775,904,036,085,131,613,133,497,622,128,340,674,607,866,531,582,307,043,
803,293,329,829,834,608,050,646,797,826,080,630,906,637,650,925,196,274,338,
731,567,130,390,305,446,968,501,547,747,121,954,380,149,108,993,840,902,076,
767,210,253,481,854,756,792,947,452,051,583,264,318,222,632,169,637,757,005,
737,378,303,956,431,827,650,344,074,549,574,684,422,844,353,894,509,159,174,
519,835,440,532,625,944,845,978,358,143,997,209,112,617,003,057,891,634,347,
668,631,634,647,528,925,181,718,031,814,843,302,583,423,436,321,664,069,852,
588,514,267,790,729,207,054,748,505,797,553,706,824,651,297,891,788,490,031,
203,088,922,454,522,650,826,982,764,160,637,479,249,511,559,592,363,293,997,
000,882,182,090,702,423,461,898,752,925,330,293,944,634,008,238,697,959,008,
480,418,235,481,157,582,516,898,812,549,687,957,465,882,008,592,297,080,180,
612,073,780,292,438,773,917,599,072,090,511,929,052,632,825,356,057,584,986,
039,162,471,918,336,530,948,289,478,534,994,535,273,582,766,749,338,447,733,
683,038,912,469,604,930,838,124,179,554,614,921,188,223,838,974,808,582,110,
842,036,535,757,102,362,855,638,852,124,807,879,346,099,527,952,976,681,073,
467,278,131,571,257,795,104,483,984,145,558,763,284,906,688,031,515,587,571,
539,026,047,717,993,133,578,363,367,004,641,356,316,347,100,783,348,143,676,
840,131,418,232,563,411,412,791,098,070,685,024,286,049,743,288,812,043,536,
012,952,885,063,595,096,997,779,729,059,147,977,735,706,513,080,472,739,374,
043,817,867,898,584,945,054,249,362,594,852,159,496,511,199,339,265,988,912,
604,524,662,095,024,946,100,674,022,536,160,377,759,390,378,978,456,651,317,
148,294,438,415,340,474,363,621,709,979,820,639,738,289,673,421,232,643,772,
537,414,268,109,561,038,597,726,333,824,023,487,792,520,090,847,695,098,038,
632,090,138,004,003,956,644,216,063,421,399,743,558,233,600,029,564,921,996,
101,578,821,441,860,108,117,559,241,723,593,424,154,403,352,990,817,512,055,
120,393,934,228,655,475,057,862,528,189,053,771,402,659,764,815,850,242,482,
098,627,627,973,415,772,507,831,966,781,846,065,312,789,107,131,242,887,309,
450,356,678,090,005,654,415,856,851,908,583,043,490,294,531,341,769,764,074,
057,352,146,497,167,172,522,664,679,018,574,446,110,557,060,431,400,365,519,
651,855,163,101,947,206,746,429,272,768,286,286,662,644,560,942,174,381,179,
798,163,920,807,045,227,927,812,771,540,484,765,481,338,079,020,337,014,452,
198,541,916,015,541,626,128,154,893,463,806,940,434,012,758,149,148,258,270,
673,457,355,593,276,931,428,075,202,721,858,159,951,466,028,393,048,344,166,
947,418,282,464,355,313,073,824,146,582,482,860,278,326,622,332,540,481,292,
699,240,125,141,175,703,827,032,522,045,415,990,354,432,517,309,625,729,064,
246,864,282,284,783,497,975,970,663,672,961,963,715,601,843,353,057,386,943,
228,472,238,124,579,008,770,743,855,652,406,607,836,945,922,492,897,603,655,
232,904,896,321,591,349,747,001,668,166,571,518,202,079,884,761,011,283,653,
769,996,376,416,411,424,826,740,732,073,040,424,562,606,863,924,063,965,343,
584,651,990,498,978,634,109,195,134,077,290,591,665,395,503,554,373,340,452,
952,017,852,639,522,740,383,217,256,119,553,699,210,218,456,757,193,428,338,
364,803,044,418,348,649,434,473,617,200,141,885,045,456,209,027,767,533,750,
439,376,189,351,260,055,628,959,129,606,635,578,819,210,936,599,373,205,267,
671,681,627,172,114,064,902,821,498,006,019,850,719,676,307,865,292,658,216,
427,708,324,965,852,112,492,436,582,090,600,317,381,822,698,274,942,239,477,
524,546,787,230,254,252,482,859,124,569,365,456,718,828,396,316,653,216,450,
594,249,496,233,799,065,848,548,039,923,715,231,527,835,528,122,781,632,017,
295,625,822,380,731,317,136,449,429,973,823,687,068,998,470,426,773,189,938,
180,552,110,553,723,565,189,782,302,021,087,666,593,788,841,089,236,217,684,
180,180,376,935,072,600,873,047,652,132,385,415,281,698,963,839,738,780,956,
149,560,022,628,217,888,322,900,374,100,033,153,004,827,352,170,842,145,400,
907,783,456,449,893,095,925,816,136,674,729,830,922,752,335,894,615,250,943,
523,853,017,000,095,629,156,491,466,874,199,798,717,928,644,945,685,979,036,
802,077,197,354,768,920,567,773,645,356,527,748,695,545,631,846,698,899,866,
082,137,030,196,030,388,064,381,549,884,718,001,678,155,018,006,202,977,743,
394,689,720,096,819,628,388,361,443,222,967,748,461,111,339,313,316,613,921,
734,207,197,129,702,714,294,758,509,846,289,432,637,263,891,194,777,480,111,
059,113,577,253,293,263,220,272,170,373,641,848,664,772,925,117,502,539,842,
772,051,453,360,785,955,699,160,167,134,221,603,218,189,579,132,728,825,659,
613,323,123,124,017,855,665,661,552,640,435,017,503,100,814,439,947,646,015,
641,001,300,133,269,462,981,075,610,230,631,771,707,292,823,469,298,274,084,
802,909,131,321,165,641,504,973,495,614,101,262,428,938,898,547,739,151,373,
261,652,623,161,272,302,094,872,238,277,616,777,899,150,765,191,771,651,110,
260,056,704,658,161,617,956,176,805,914,117,232,922,631,232,782,118,471,715,
518,071,832,992,763,106,793,391,976,602,562,431,641,746,458,406,900,857,208,
974,432,425,871,011,970,208,730,446,959,318,433,540,461,927,427,682,067,047,
972,566,705,515,337,377,776,182,961,768,310,795,036,114,779,883,059,005,770,
641,839,807,430,157,759,662,258,521,426,959,136,848,583,035,126,832,068,378,
994,115,920,416,490,327,017,956,808,799,185,892,524,965,713,847,906,849,204,
235,659,290,707,850,150,890,349,923,990,189,564,618,011,083,994,593,511,811,
640,118,803,664,543,627,386,248,171,214,188,262,228,666,063,580,730,316,062,
994,022,821,560,205,513,631,623,283,842,530,696,797,204,747,056,807,018,941,
273,471,563,440,010,362,152,865,190,413,580,579,072,428,877,242,252,439,885,
736,475,896,923,169,306,993,658,645,485,619,357,421,802,081,012,599,555,446,
029,695,784,028,856,108,186,545,656,577,421,371,354,335,006,761,441,076,991,
083,383,176,393,381,944,868,576,059,427,662,595,790,982,049,948,957,061,479,
505,609,220,698,586,663,142,203,166,963,200,393,551,418,677,073,164,731,395,
613,855,102,193,731,674,783,491,886,421,983,910,843,994,329,024,861,007,015,
352,180,152,333,026,526,332,173,254,775,932,666,847,854,615,601,924,756,081,
957,219,886,581,663,852,786,306,639,865,279,584,678,059,289,864,531,897,243,
421,886,410,012,455,867,175,858,373,571,294,944,934,625,402,760,885,480,453,
758,889,299,737,328,226,495,331,438,561,610,756,343,233,777,937,462,712,026,
750,686,959,487,957,980,246,309,781,310,016,836,669,128,103,381,636,852,338,
077,981,699,522,517,903,971,268,020,030,853,014,641,189,940,804,919,480,672,
459,366,431,700,376,860,237,385,418,553,978,016,115,317,501,456,127,572,583,
025,872,363,656,207,138,781,777,235,969,392,552,776,050,580,971,609,689,774,
685,042,400,532,379,217,815,353,325,965,361,262,174,353,888,819,933,076,518,
035,594,509,003,102,688,626,768,486,239,803,583,845,793,715,360,076,693,995,
241,282,150,995,350,700,642,376,924,239,176,241,219,195,778,122,579,187,784,
323,429,253,782,791,949,038,954,548,336,410,962,274,219,113,076,509,263,493,
922,664,170,521,799,153,165,551,259,451,286,266,850,457,398,283,183,639,608,
609,665,435,676,825,694,352,269,063,519,601,059,141,182,964,747,263,100,651,
275,626,483,978,968,622,648,196,246,307,770,869,998,856,193,727,480,026,660,
071,360,476,924,211,519,563,706,139,393,170,660,665,992,082,638,281,074,986,
686,743,397,963,095,766,038,314,194,402,198,197,097,216,717,495,950,394,521,
427,000,330,801,480,798,184,392,270,544,242,302,682,022,324,102,317,355,993,
852,859,656,691,652,034,698,792,273,409,128,306,881,835,181,303,576,079,173,
403,101,617,841,596,965,241,965,654,220,370,223,002,887,160,460,610,930,257,
263,063,758,191,805,966,867,546,127,805,285,298,932,653,227,168,314,460,492,
897,851,853,916,950,400,733,073,785,675,894,499,376,113,569,325,163,801,513,
660,059,517,573,568,598,378,402,221,927,455,566,254,886,271,715,219,853,720,
514,822,850,692,507,383,985,642,301,059,366,747,767,955,931,182,319,108,276,
720,012,868,886,705,355,627,887,958,322,168,472,585,427,206,029,565,025,420,
926,568,663,253,361,912,720,153,616,948,756,803,560,264,570,371,763,409,498,
524,780,636,068,469,945,945,502,190,922,966,919,252,759,165,571,176,621,543,
697,333,326,229,156,568,552,333,978,066,980,268,265,012,146,382,793,853,101,
193,897,274,283,443,064,674,352,110,189,203,950,790,826,192,482,312,104,573,
841,943,498,663,482,617,383,955,215,620,305,294,453,366,542,656,831,566,624,
598,017,860,112,413,876,930,879,573,584,151,715,179,565,666,016,841,838,029,
138,410,871,444,530,048,591,147,428,122,091,924,330,310,022,234,803,940,400,
892,240,979,920,556,272,322,622,799,737,055,057,141,529,695,416,181,380,973,
767,851,685,733,111,115,307,587,065,235,962,301,912,529,615,798,569,390,512,
903,913,592,825,131,761,533,364,274,924,504,734,460,699,766,549,732,917,675,
928,412,887,183,875,028,845,212,410,354,946,791,634,777,218,221,728,603,753,
762,516,820,848,815,991,368,773,499,146,405,204,369,688,953,425,518,481,807,
435,300,724,349,897,730,773,107,256,125,352,271,971,169,633,688,022,484,271,
432,164,823,101,646,254,141,947,792,201,594,168,012,531,396,304,041,721,597,
649,572,590,808,441,656,359,404,360,319,609,265,334,930,530,592,621,802,306,
780,320,106,577,260,952,596,598,062,906,405,951,369,014,361,526,120,752,986,
889,266,424,878,350,338,173,251,480,869,525,305,967,113,979,424,570,938,210,
740,561,219,824,828,805,208,881,924,309,665,336,900,647,803,540,924,748,809,
178,837,384,867,509,420,838,721,984,454,994,450,565,164,009,435,110,836,346,
649,599,356,611,744,689,501,096,559,556,155,548,561,353,536,306,676,672,460,
948,572,973,450,923,208,239,618,674,886,210,533,921,079,662,882,353,673,965,
365,111,176,061,275,491,836,973,810,309,069,129,212,080,070,728,639,439,122,
157,515,295,334,845,833,578,827,594,622,612,361,437,244,898,523,134,844,916,
949,890,143,352,028,707,231,067,271,095,476,464,180,722,090,042,987,994,725,
700,949,684,540,545,925,922,150,053,180,112,583,343,846,229,834,896,754,828,
741,855,339,290,883,578,285,194,808,542,561,813,406,115,104,894,937,207,453,
275,887,330,504,360,493,725,411,406,633,425,990,248,735,140,547,666,290,515,
674,999,758,738,411,851,685,005,150,052,677,444,757,240,716,584,780,657,353,
097,297,625,316,827,740,767,064,308,848,784,392,428,555,392,819,439,724,715,
041,973,931,829,374,585,040,971,419,016,650,018,917,330,030,235,555,249,623,
625,850,780,514,981,332,776,984,612,271,609,822,951,075,807,086,352,278,653,
644,719,480,001,066,043,274,729,004,216,289,024,002,166,169,034,202,451,482,
678,712,382,689,175,830,173,295,633,710,798,742,829,182,452,512,358,949,527,
776,413,211,137,313,704,223,617,085,072,326,230,439,895,719,429,893,784,831,
399,796,723,072,091,815,272,762,044,163,054,001,765,162,208,678,803,415,895,
235,117,466,365,856,373,994,766,347,124,443,622,831,947,864,675,598,427,994,
437,408,391,461,214,530,808,963,003,388,360,546,677,405,397,263,297,299,290,
208,244,169,969,530,554,152,577,606,665,821,987,513,324,334,657,985,853,513,
078,015,878,776,240,963,755,095,318,547,740,045,030,572,941,972,605,151,090,
480,425,835,642,968,097,028,934,342,210,750,732,765,610,650,881,977,934,786,
358,846,266,247,048,031,635,778,784,006,656,043,634,736,041,111,006,074,204,
987,829,586,955,263,147,179,401,409,431,800,150,865,365,806,299,347,620,123,
849,823,086,665,945,244,102,535,064,908,586,964,263,635,457,987,757,408,807,
753,229,097,320,345,873,659,801,632,193,298,582,534,759,808,139,917,599,060,
710,492,918,424,298,823,679,952,628,715,819,936,793,912,619,431,247,838,224,
927,742,245,587,678,408,986,775,946,281,693,641,099,905,918,848,780,048,287,
490,764,005,083,680,865,049,156,670,893,122,236,299,051,850,703,865,115,593,
099,267,842,354,451,316,698,542,745,403,345,777,426,102,774,270,854,327,653,
326,128,563,890,388,048,014,661,851,952,762,756,483,388,136,745,156,636,457,
347,617,473,838,999,721,015,109,047,640,131,058,046,146,517,962,005,565,887,
870,457,874,760,579,136,854,828,275,778,408,051,241,542,150,997,680,586,763,
677,137,112,915,521,231,061,725,130,938,749,489,132,233,978,745,830,686,150,
065,894,733,573,681,422,933,150,521,594,060,949,657,867,322,636,554,815,486,
790,871,162,030,208,552,660,123,602,407,321,149,423,148,836,562,025,534,273,
251,990,965,987,470,099,400,910,238,482,645,924,544,220,887,280,934,650,116,
708,132,976,045,931,440,419,375,167,445,802,340,832,878,674,428,314,017,324,
594,989,939,181,891,550,479,887,328,146,270,347,384,554,945,024,797,700,832,
581,034,174,161,800,596,059,427,857,490,119,204,048,275,636,551,125,021,493,
497,876,790,919,907,255,509,467,685,523,825,183,578,795,239,945,829,635,460,
458,092,539,499,268,526,539,402,559,140,056,815,061,038,390,333,198,572,978,
210,079,029,870,184,987,897,500,565,530,771,477,346,827,299,559,520,475,674,
560,314,139,722,070,107,480,420,552,851,489,976,718,355,559,540,398,504,695,
800,465,788,365,436,370,639,509,741,849,120,912,488,966,315,479,035,190,805,
249,736,358,126,969,693,382,520,195,446,010,191,684,422,497,253,172,364,393,
540,953,853,678,756,041,587,526,369,789,249,548,508,490,235,714,853,785,806,
746,598,004,421,152,663,335,936,564,842,603,608,599,763,652,408,432,920,617,
041,038,460,429,137,919,214,864,852,116,579,681,217,071,240,448,995,632,339,
774,710,531,510,318,266,780,673,491,906,916,111,983,107,284,665,064,755,063,
737,978,980,448,975,546,234,408,303,892,936,121,253,330,263,612,936,737,353,
872,261,616,894,890,552,575,851,011,639,426,731,158,868,633,577,126,410,571,
390,746,214,451,795,704,042,971,609,669,831,481,081,689,383,496,766,689,278,
562,891,148,138,100,494,309,623,287,579,076,575,955,916,972,784,300,701,409,
922,755,451,003,853,454,527,740,826,249,257,721,084,426,063,670,064,975,823,
160,803,943,351,847,950,911,344,836,918,761,513,198,082,004,562,808,016,608,
510,198,351,618,510,546,057,283,220,848,197,775,038,315,410,064,597,710,374,
409,460,404,901,063,674,482,029,717,863,501,583,686,100,588,345,534,066,549,
523,165,185,772,980,529,825,550,300,001,600,871,738,594,388,464,433,216,510,
586,737,871,851,003,726,784,752,699,927,589,653,292,015,046,099,172,320,875,
096,817,577,817,494,474,663,690,446,012,758,685,574,808,310,558,792,816,807,
840,758,544,354,892,525,075,452,368,675,255,923,993,609,779,434,068,480,845,
580,576,688,985,582,606,458,498,492,699,951,994,736,478,524,850,311,629,516,
119,251,333,631,485,240,630,612,479,408,458,507,976,721,774,908,211,161,750,
936,571,317,495,703,223,827,059,881,227,362,976,684,631,882,045,684,611,866,
400,444,828,128,515,070,884,244,294,987,708,084,872,257,023,906,945,660,674,
827,397,317,667,506,313,255,385,508,289,625,787,175,841,436,476,225,223,913,
338,016,512,290,677,034,230,991,753,192,517,064,197,635,262,592,097,567,642,
419,163,177,827,001,924,549,895,600,535,049,351,028,137,866,366,869,378,693,
590,831,951,208,509,353,071,066,783,669,442,717,515,705,261,237,710,727,427,
851,434,554,989,417,236,280,536,550,616,432,642,450,252,231,658,229,329,470,
101,988,480,280,126,479,049,645,545,863,355,674,545,502,221,496,970,133,378,
681,257,382,532,853,536,024,106,841,078,041,416,541,612,984,258,056,608,320,
689,096,319,272,410,199,724,754,229,306,364,129,900,645,158,125,259,227,144,
766,410,860,987,941,475,407,759,163,721,843,977,142,668,495,671,822,541,821,
902,889,969,419,416,452,235,420,972,200,407,791,658,724,037,057,978,933,950,
405,628,350,959,715,136,749,488,943,792,965,734,694,967,109,251,971,483,104,
355,100,533,416,545,979,253,658,134,028,971,611,788,465,838,660,449,516,633,
122,204,967,781,008,578,396,605,187,625,951,501,168,434,539,281,596,416,868,
102,298,458,866,024,856,923,546,784,032,557,244,622,155,758,500,758,475,098,
092,676,179,227,331,466,559,365,970,130,281,983,891,791,659,730,098,601,902,
453,828,727,895,064,921,529,214,693,424,221,643,425,249,240,810,862,933,216,
476,314,339,901,666,928,855,286,154,162,867,390,357,166,786,991,852,843,460,
947,290,127,959,180,421,493,719,356,369,059,306,910,052,661,147,152,431,469,
618,173,403,843,058,933,930,094,654,891,668,317,601,233,616,238,888,994,958,
538,364,178,347,031,606,783,958,974,685,290,101,705,517,507,013,087,567,191,
356,778,039,076,692,032,688,151,700,456,967,287,047,283,587,776,490,858,142,
802,857,942,781,366,079,025,764,796,186,817,772,924,999,919,187,862,564,598,
345,068,001,133,952,666,473,010,253,211,676,296,501,768,836,567,353,117,612,
168,529,448,149,116,674,514,433,427,047,489,494,309,683,716,650,120,851,453,
138,308,808,546,383,576,684,968,842,379,234,147,479,416,939,030,120,963,576,
500,323,109,727,753,168,022,238,575,395,016,512,531,308,821,578,260,581,497,
244,817,420,212,784,670,984,158,568,441,659,672,129,536,996,746,851,599,070,
076,547,130,083,926,676,965,499,096,047,521,778,122,817,451,802,951,254,154,
618,550,206,423,648,703,856,085,291,265,391,293,688,118,625,347,969,731,832,
079,135,031,091,562,976,503,146,708,470,019,344,043,049,225,794,199,054,018,
705,842,630,393,536,428,268,192,667,457,079,012,405,022,919,004,573,053,815,
708,385,093,057,536,488,950,325,291,673,061,269,497,878,071,055,579,250,010,
762,013,503,219,234,744,679,366,874,091,482,854,721,727,180,046,140,739,851,
344,349,508,798,198,300,244,182,874,252,024,956,126,663,338,675,351,213,667,
155,113,343,051,190,207,893,336,707,297,200,458,895,422,112,434,990,357,306,
912,730,625,415,288,143,974,383,013,490,854,579,073,889,679,845,431,374,957,
240,401,351,950,273,741,973,110,899,710,792,521,285,502,418,614,196,125,533,
530,839,955,706,481,248,986,600,398,263,765,989,964,453,575,133,791,211,930,
419,342,084,758,191,136,080,238,179,803,627,015,388,862,270,237,250,062,222,
205,122,496,113,836,622,325,155,058,968,833,867,071,466,533,594,010,047,035,
029,080,117,743,602,487,432,485,161,963,450,569,263,105,083,230,891,620,708,
965,325,953,595,367,800,764,883,401,101,493,407,915,003,709,167,533,994,872,
344,635,056,938,581,597,441,572,928,555,954,595,307,377,672,000,820,304,955,
355,946,332,911,891,022,126,355,524,854,395,121,456,243,578,661,696,298,192,
979,954,590,833,410,390,614,492,883,197,358,278,064,429,604,185,082,134,017,
516,551,452,368,806,952,933,422,299,504,515,144,337,222,393,787,825,898,112,
391,916,228,968,301,240,616,398,987,632,845,180,303,641,932,765,368,775,074,
033,838,621,468,861,791,095,651,218,096,122,294,072,459,999,413,412,963,201,
838,477,155,055,347,222,051,373,339,104,091,891,480,984,589,173,130,062,899,
266,675,062,227,230,204,128,802,532,930,152,629,190,257,697,811,458,991,354,
062,620,808,199,643,656,278,778,135,040,192,408,465,381,623,780,347,806,189,
612,375,186,264,378,749,929,370,398,506,112,512,139,951,383,507,969,039,856,
299,454,420,536,764,454,603,340,457,562,135,117,962,266,675,147,513,426,929,
247,934,239,301,526,170,241,490,594,756,632,989,833,822,544,721,891,966,123,
668,857,399,630,301,629,474,012,667,633,784,518,898,938,702,262,452,668,150,
715,028,567,610,826,887,622,302,042,483,105,459,254,482,690,857,253,770,671,
244,130,129,301,464,275,792,700,555,631,520,282,139,784,356,379,537,595,787,
734,395,419,236,352,171,353,807,350,883,442,652,668,673,188,476,278,912,881,
280,382,995,778,918,710,601,557,176,021,409,065,438,506,167,559,732,679,469,
718,017,784,257,272,383,922,071,477,688,789,876,094,458,915,608,556,161,651,
039,697,685,727,056,018,239,631,933,659,610,534,790,940,121,901,590,300,557,
320,535,457,956,659,158,640,703,700,551,190,044,960,196,159,218,360,650,397,
291,902,886,747,805,156,852,056,406,694,914,252,701,503,176,107,170,040,438,
894,181,823,534,896,608,447,541,530,884,544,011,957,233,667,444,255,002,948,
957,590,567,474,142,657,281,760,436,619,328,824,278,672,939,681,785,744,197,
081,227,171,385,308,174,486,016,298,484,250,070,302,493,622,094,273,417,193,
416,893,906,732,329,684,477,730,707,871,748,287,719,408,135,971,580,259,305,
230,426,812,259,248,645,936,047,255,486,431,762,694,963,731,081,029,186,655,
757,015,569,755,372,208,347,254,158,382,795,352,144,084,629,449,526,714,591,
705,535,189,924,151,916,170,248,179,288,597,848,259,195,447,881,077,989,683,
907,639,011,382,650,601,646,656,174,678,311,875,452,561,333,348,860,746,505,
069,222,400,099,385,493,736,379,171,716,238,082,638,627,422,778,552,181,768,
347,179,602,087,162,462,558,197,796,862,368,096,987,658,646,610,085,387,300,
725,180,906,923,883,958,347,599,985,059,209,982,714,275,685,134,268,843,916,
196,337,238,547,171,205,525,136,586,786,037,638,322,447,564,260,981,424,743,
755,386,962,631,320,991,532,230,058,711,970,669,525,390,209,358,354,512,460,
190,873,108,510,672,616,865,418,010,665,968,874,849,507,019,386,164,046,290,
395,360,065,983,551,819,861,844,159,182,936,793,907,299,525,261,996,691,016,
564,806,374,790,365,342,832,871,414,780,696,257,201,622,686,956,513,693,370,
261,787,848,637,960,567,573,080,995,956,575,634,918,170,221,713,119,208,559,
419,367,221,307,855,515,598,283,802,905,061,561,424,374,358,498,021,612,456,
231,046,485,447,412,699,343,785,836,151,297,416,086,745,148,262,206,806,513,
799,034,064,113,388,900,826,123,960,440,505,129,626,195,039,474,722,624,416,
187,581,881,590,230,545,590,955,742,060,181,530,103,173,027,992,338,808,497,
025,498,866,866,189,403,022,495,296,003,651,960,251,804,477,281,109,482,519,
398,452,781,945,457,464,523,172,369,287,863,568,832,149,057,455,805,447,784,
569,234,536,098,567,018,248,693,638,472,000,152,287,711,926,948,510,773,419,
717,412,271,890,514,755,741,017,798,748,444,741,329,349,808,976,793,388,319,
144,496,270,979,916,891,037,772,639,055,173,289,326,389,919,109,281,066,567,
773,125,694,237,635,267,550,315,909,716,732,173,673,359,072,910,775,428,206,
361,901,525,453,024,019,707,645,012,785,459,448,940,274,080,633,371,617,203,
910,341,886,474,621,906,739,663,995,116,177,660,043,290,762,674,568,729,178,
485,891,864,098,593,265,152,006,628,234,356,949,273,507,087,504,326,749,108,
264,320,591,699,924,727,432,077,965,570,584,725,301,750,389,183,848,072,832,
288,610,717,637,561,838,546,733,614,280,885,423,923,920,714,907,183,690,287,
042,537,916,467,374,626,847,263,291,722,078,886,757,419,859,091,378,542,598,
601,472,385,075,282,354,024,778,984,741,008,823,517,415,759,601,629,536,180,
379,235,041,577,940,957,145,705,924,926,928,913,332,408,158,654,424,911,701,
711,944,076,074,612,828,223,961,455,978,609,798,940,779,587,928,279,890,390,
014,287,220,249,368,909,522,246,905,135,413,118,351,610,086,841,952,235,743,
303,646,506,916,429,748,275,970,499,834,439,893,384,988,710,088,425,096,737,
983,584,616,790,573,379,228,268,500,910,864,722,110,685,908,099,472,538,072,
399,329,314,826,758,193,287,669,522,088,455,628,141,207,386,138,241,518,865,
452,479,384,957,101,289,943,965,588,037,338,625,120,998,035,139,836,986,141,
891,324,449,272,754,870,637,550,926,446,129,954,998,507,592,125,197,510,213,
399,909,038,463,318,246,424,580,016,139,189,195,823,568,850,393,960,071,193,
475,831,097,295,389,144,560,262,522,417,734,099,409,672,787,720,929,645,449,
345,302,112,784,017,641,768,478,226,825,579,566,153,188,960,164,899,169,284,
893,509,936,463,394,520,172,621,176,619,789,293,574,741,879,794,433,402,547,
788,292,779,877,228,505,981,775,129,119,957,011,994,170,200,229,325,237,048,
590,126,469,166,453,050,461,825,946,941,213,077,951,329,338,302,523,685,824,
596,667,064,118,892,318,291,655,028,745,518,208,042,039,135,150,079,674,494,
466,763,631,177,110,506,480,842,973,036,243,907,439,419,804,459,459,695,002,
622,143,149,879,504,783,422,966,504,605,332,536,333,324,511,380,585,553,664,
262,292,876,482,881,823,991,516,648,686,545,181,905,075,041,673,986,752,524,
342,438,383,379,632,008,178,829,284,726,208,355,826,133,250,086,643,144,650,
687,748,326,912,538,587,260,533,631,181,409,641,893,297,906,166,268,658,767,
983,299,521,047,563,909,127,945,134,398,056,056,666,443,009,456,588,012,320,
878,844,888,750,764,885,323,543,982,937,131,146,645,882,708,489,919,234,543,
138,903,411,722,800,122,262,876,588,402,632,301,869,649,893,446,406,205,583,
639,478,924,563,042,429,882,313,522,614,686,562,673,099,902,552,278,488,996,
619,695,807,234,049,138,948,441,644,119,141,286,577,370,387,776,427,563,412,
401,928,227,157,284,423,135,919,520,427,909,858,271,829,769,337,685,986,862,
596,625,654,310,751,456,845,865,569,576,792,989,670,179,834,257,314,352,193,
757,883,761,214,379,438,123,474,505,351,336,508,205,120,967,081,628,908,262,
520,139,798,303,456,068,450,906,118,886,214,691,836,021,561,718,578,090,497,
471,607,045,612,928,686,830,708,672,688,388,291,119,268,220,212,334,884,376,
581,631,231,326,237,639,651,581,523,589,646,163,958,275,767,533,305,319,322,
766,575,877,433,246,458,260,384,028,530,574,866,779,589,659,137,512,670,130,
211,696,427,571,982,200,230,938,855,703,234,469,612,680,801,948,312,321,609,
247,823,756,812,561,378,677,455,697,691,858,335,465,741,475,166,845,594,221,
437,072,282,121,284,373,942,881,339,087,313,778,024,832,932,659,021,814,489,
723,126,190,660,439,580,828,479,482,026,306,634,647,475,167,497,112,796,880,
293,651,597,651,511,184,217,913,184,450,406,368,567,272,805,501,996,258,240,
095,779,759,566,644,243,512,413,960,797,537,362,857,831,775,149,936,476,025,
393,888,629,896,965,050,439,108,923,586,561,389,214,616,572,213,817,253,178,
172,330,685,412,172,488,858,206,381,446,392,262,753,622,970,137,045,577,527,
141,020,439,365,371,026,311,552,946,529,875,700,566,371,811,999,036,410,527,
871,360,128,849,707,364,014,495,242,010,020,048,536,176,484,497,348,374,606,
373,544,267,347,682,956,015,339,630,105,207,628,410,705,078,898,160,981,192,
875,228,700,737,058,004,343,813,205,451,090,950,161,675,146,247,901,906,231,
082,020,270,338,958,022,133,813,825,667,499,093,823,469,757,266,579,257,084,
270,608,404,621,077,749,108,942,928,252,358,843,595,942,297,470,117,091,518,
164,794,550,441,662,536,201,538,563,853,269,106,379,643,655,654,605,353,062,
915,372,903,933,810,805,655,101,161,718,890,036,600,936,782,343,924,737,163,
179,922,911,439,850,025,279,577,259,496,082,427,230,886,217,997,356,715,321,
857,475,625,288,140,899,191,354,300,934,736,208,628,027,343,832,770,156,355,
617,272,671,095,351,643,042,988,347,720,673,062,875,815,110,456,437,028,340,
313,933,366,303,644,812,995,215,297,090,958,498,154,545,004,936,518,390,011,
608,412,081,056,258,360,633,076,690,032,637,516,118,758,457,857,657,562,933,
149,887,357,567,800,826,390,607,199,742,120,028,501,369,628,395,399,056,998,
023,280,508,445,453,523,935,978,851,416,396,730,552,824,449,655,389,805,652,
103,233,854,830,775,250,738,317,570,857,335,050,499,698,353,990,533,802,274,
228,687,225,524,561,784,330,639,463,280,769,313,565,831,947,092,081,526,613,
544,138,835,070,387,862,801,630,577,181,291,209,949,705,464,055,148,410,246,
814,134,930,417,808,211,400,918,616,832,055,025,411,416,431,026,370,325,537,
417,556,559,670,613,764,471,367,520,965,234,960,236,935,827,310,320,367,184,
741,483,275,650,581,889,503,890,033,563,246,828,788,892,716,201,053,017,559,
781,431,666,039,031,572,771,225,899,846,134,345,230,708,681,382,197,049,288,
044,245,608,344,633,314,986,127,142,012,700,966,808,835,540,083,598,561,624,
019,163,609,975,800,892,049,275,304,333,997,578,237,492,493,574,694,842,722,
816,113,034,026,970,132,405,792,086,448,992,986,385,248,074,500,035,954,082,
073,754,319,362,682,768,803,769,321,495,256,609,970,446,335,314,591,877,007,
006,854,659,232,007,963,448,169,322,398,664,181,523,375,569,807,040,716,373,
418,894,797,475,486,997,728,790,504,036,647,540,720,475,072,023,207,369,981,
038,971,464,374,409,423,697,333,603,602,660,746,588,421,415,060,389,084,282,
548,464,160,625,556,739,220,692,044,358,284,813,796,893,527,526,769,647,238,
546,491,010,079,393,344,857,968,762,830,547,241,873,989,718,643,594,153,871,
849,969,552,898,409,344,382,418,781,897,194,209,525,580,911,810,861,316,052,
446,856,799,167,661,919,976,118,041,363,561,448,516,958,263,248,396,528,160,
210,453,656,101,144,111,284,843,503,705,480,112,145,554,844,612,770,510,196,
926,691,652,460,881,614,610,491,844,662,191,026,910,704,318,068,144,657,177,
962,052,834,198,189,663,126,118,322,016,807,105,662,758,348,007,734,810,154,
978,990,430,600,586,597,256,995,170,916,117,209,571,217,574,561,499,926,530,
649,815,242,669,564,303,047,711,087,294,909,396,339,749,805,414,346,927,700,
124,373,568,321,471,315,763,446,167,562,352,010,245,928,416,008,809,134,349,
760,677,434,660,375,133,351,150,205,096,574,727,915,416,879,656,601,061,155,
763,970,663,811,713,644,981,463,155,982,984,138,478,754,024,404,262,417,552,
130,129,282,744,810,721,171,674,370,296,633,126,977,847,816,907,903,357,209,
714,833,959,444,459,287,851,474,454,620,132,925,117,367,292,603,114,839,457,
165,053,025,317,936,918,198,410,714,542,721,125,825,438,588,905,247,356,299,
137,201,289,197,246,723,864,386,278,652,758,790,132,105,281,595,572,067,120,
108,342,301,474,721,845,737,143,968,588,376,267,457,686,166,591,052,330,724,
470,540,583,309,049,970,581,210,657,466,267,021,214,502,570,612,876,613,534,
305,162,998,516,538,023,965,948,982,026,303,289,025,124,944,970,816,806,433,
353,711,065,938,144,775,926,846,983,533,595,867,767,957,729,546,676,305,907,
020,671,136,526,491,677,577,160,462,115,790,049,453,824,738,524,609,159,659,
921,079,878,235,447,022,589,788,224,365,497,859,711,943,445,263,627,314,592,
014,652,360,796,706,207,149,741,710,967,362,465,990,115,423,431,925,547,582,
374,795,546,435,800,062,717,281,787,945,707,485,503,119,007,704,739,387,221,
582,368,577,819,658,004,959,645,771,289,299,312,827,714,530,396,346,413,423,
315,062,666,052,334,195,423,603,036,752,885,845,353,003,068,964,837,869,056,
815,952,019,269,771,335,749,953,340,085,330,245,357,813,512,890,488,186,339,
534,513,456,529,368,482,421,032,691,377,953,903,399,349,012,933,391,848,284,
058,217,283,849,504,530,044,834,841,234,566,444,455,763,079,895,702,990,254,
052,932,940,307,201,098,666,323,456,646,020,975,611,408,474,570,836,621,064,
215,287,790,160,522,969,097,625,071,322,139,389,118,562,454,187,139,526,305,
910,517,266,594,443,998,249,393,789,699,074,493,994,515,803,812,318,485,433,
772,894,561,293,420,898,762,156,332,825,395,940,382,705,942,526,114,681,931,
662,411,278,490,363,705,632,207,662,988,865,119,587,870,015,039,704,678,280,
029,831,806,176,609,217,963,952,990,385,976,680,422,118,105,028,467,403,100,
902,613,933,977,288,823,126,828,767,090,646,986,334,941,288,631,552,967,590,
921,692,320,408,044,731,786,614,657,093,627,568,096,350,373,100,178,111,889,
775,850,046,597,293,638,713,705,094,187,417,676,716,859,267,615,554,553,758,
957,648,798,674,073,177,824,853,909,597,834,451,893,307,812,373,215,812,285,
208,920,696,037,485,125,662,537,226,972,566,321,976,979,538,599,916,672,187,
870,933,640,468,715,951,499,817,732,769,487,799,446,707,617,631,753,318,408,
990,716,883,177,372,798,350,332,729,518,148,407,026,282,045,253,954,060,092,
385,367,909,032,784,072,603,150,085,155,740,089,728,052,529,439,037,290,628,
687,755,875,478,736,339,902,144,025,240,815,984,658,723,481,286,429,522,785,
008,716,287,791,786,554,582,584,091,836,757,329,560,337,966,049,219,619,069,
721,528,445,445,623,121,199,101,950,939,933,946,218,293,939,565,705,858,960,
789,248,864,713,005,431,464,075,389,438,184,220,555,027,215,060,536,274,396,
151,949,819,283,826,649,947,138,014,169,302,336,395,629,924,645,636,723,022,
231,269,781,137,102,833,059,985,868,180,485,498,819,944,364,367,843,154,624,
731,014,612,292,483,959,482,969,702,590,336,117,243,722,536,943,900,236,342,
293,326,999,698,511,490,961,138,939,657,201,804,421,508,273,820,395,028,708,
727,023,828,238,395,519,571,539,157,177,185,556,465,946,506,279,890,374,029,
371,319,938,850,270,732,231,853,613,984,460,116,347,948,399,696,307,598,702,
526,149,245,954,687,725,234,665,048,080,048,240,676,645,975,248,569,282,005,
380,444,168,973,792,349,898,706,075,820,647,222,967,975,398,284,757,062,188,
683,712,139,298,732,820,349,290,606,612,808,216,648,983,160,445,731,705,553,
439,557,630,186,190,961,943,384,983,550,554,997,249,013,000,513,171,306,299,
835,755,939,870,435,720,953,603,522,759,352,339,308,885,658,036,318,053,788,
177,525,018,597,596,252,277,741,521,798,987,138,229,127,236,465,363,717,812,
515,878,607,094,382,108,701,696,526,229,129,362,830,718,087,315,586,753,692,
161,866,646,685,741,368,927,351,429,787,875,998,243,207,106,845,922,027,212,
817,423,478,342,531,270,828,717,092,436,330,210,874,315,964,640,839,881,161,
954,843,684,376,821,134,855,500,054,220,263,060,397,225,409,901,240,120,586,
859,489,379,403,203,526,009,032,849,198,002,199,873,661,996,451,891,204,231,
122,143,575,053,972,931,675,004,076,812,846,923,715,397,111,541,995,717,974,
684,183,051,613,643,892,750,386,695,093,022,675,185,989,791,328,011,846,797,
535,639,749,546,615,057,769,185,358,299,216,879,285,914,859,998,121,600,267,
959,775,972,345,232,732,768,783,393,701,015,471,682,943,598,409,629,352,230,
319,419,592,774,359,396,214,222,138,487,164,084,239,811,520,539,107,943,820,
654,487,396,021,562,302,173,137,428,365,857,764,974,866,037,702,919,714,833,
773,475,966,583,125,888,508,547,202,473,407,393,045,622,976,854,978,277,372,
533,758,369,721,792,676,273,116,535,820,055,899,482,951,877,364,574,358,599,
101,501,289,917,310,543,198,962,420,014,617,826,814,426,527,389,660,832,282,
711,400,112,429,957,564,696,588,929,863,377,755,367,124,906,703,945,697,233,
149,853,920,573,342,241,117,044,155,294,071,748,647,940,759,193,278,860,805,
374,870,753,984,553,492,987,971,630,537,950,995,312,364,664,628,446,089,176,
508,300,572,897,031,705,812,849,098,244,112,578,429,549,300,186,028,018,200,
875,551,882,726,274,033,638,213,946,219,041,179,330,172,870,940,368,019,666,
958,914,995,392,554,427,727,291,084,016,660,561,814,739,810,852,181,495,196,
504,326,201,288,858,236,786,055,921,736,131,723,631,657,408,026,868,533,929,
677,818,520,307,811,257,353,675,230,656,605,523,142,716,242,352,778,196,653,
890,628,639,639,070,322,347,302,214,438,011,112,155,646,901,240,797,327,536,
405,175,664,944,251,424,495,685,851,187,660,016,118,123,540,350,995,319,925,
323,305,264,226,159,285,422,082,045,520,890,591,057,092,314,052,649,760,701,
205,324,410,503,090,710,952,118,555,478,180,260,134,886,448,987,804,625,236,
573,148,263,249,683,765,544,291,441,581,878,168,947,913,808,119,312,564,818,
174,974,444,634,763,960,473,147,204,686,497,695,080,399,680,708,528,127,282,
655,316,508,581,240,274,678,567,743,766,086,697,310,221,564,461,032,038,581,
613,118,558,782,939,968,834,173,022,100,698,582,240,404,217,611,554,700,746,
589,865,018,358,558,938,282,672,248,386,760,955,622,642,810,984,285,224,997,
223,832,665,619,378,566,620,784,557,437,893,613,650,260,825,964,833,928,982,
014,991,446,959,893,129,307,235,359,149,529,912,141,243,722,874,531,178,214,
217,814,196,400,335,202,737,548,656,074,007,881,217,140,235,582,350,553,479,
234,441,342,594,850,908,833,439,230,189,389,433,792,961,089,918,774,530,037,
190,614,356,052,597,686,948,240,270,014,923,788,058,682,627,237,306,170,118,
429,827,700,713,632,812,218,113,321,481,814,093,172,366,872,003,871,048,827,
127,442,269,835,795,613,464,057,816,573,356,084,394,811,471,935,548,552,985,
492,707,747,426,109,852,150,825,300,370,531,163,937,612,783,594,910,987,569,
968,341,713,067,846,750,403,549,496,087,787,939,308,656,381,083,194,820,350,
474,395,530,661,866,728,346,287,088,840,196,082,624,318,687,096,699,207,159,
557,776,795,444,390,600,158,708,038,501,332,217,282,929,935,621,210,988,388,
249,588,820,026,272,735,790,303,303,346,756,277,746,251,005,484,609,875,047,
184,832,219,379,719,014,923,534,563,493,815,745,542,897,851,247,595,279,988,
756,023,529,101,220,029,501,780,522,659,456,655,666,578,960,105,484,156,612,
209,706,453,266,770,925,795,507,285,567,655,241,413,617,488,882,117,485,652,
450,473,506,462,016,459,165,114,822,413,383,700,444,390,085,060,668,599,500,
823,087,573,671,064,296,273,351,467,621,978,694,969,531,076,846,695,035,476,
609,908,267,076,963,833,258,573,612,460,220,744,280,956,485,090,306,744,407,
716,129,583,662,292,720,017,528,720,435,388,565,237,128,867,776,086,453,501,
029,062,939,704,006,577,413,285,013,734,077,418,624,953,002,122,833,794,397,
188,377,059,146,871,021,106,147,867,685,110,062,032,108,924,740,985,973,790,
742,933,834,840,289,569,285,439,443,895,622,308,855,080,237,508,830,054,621,
806,235,510,637,981,561,164,630,564,424,534,837,734,626,486,477,502,338,881,
666,363,836,341,098,898,031,717,097,088,535,078,024,505,995,867,605,929,994,
397,919,374,172,418,709,882,635,552,720,744,544,365,783,325,950,285,307,255,
593,046,115,389,356,921,806,546,716,130,789,290,778,038,537,299,021,494,476,
351,138,227,846,449,397,598,883,027,272,245,011,471,049,656,148,142,884,920,
560,886,886,667,747,222,799,048,153,657,024,684,041,372,112,137,566,471,291,
275,544,939,186,528,349,066,624,583,357,381,447,128,914,322,370,601,848,643,
550,295,615,892,725,615,364,673,542,904,281,087,707,442,323,939,948,326,997,
861,618,186,522,535,291,515,263,028,184,156,909,647,476,261,015,394,976,503,
139,859,739,386,351,284,638,101,360,375,619,657,007,146,560,420,971,054,733,
688,454,171,556,445,973,587,187,438,208,623,498,163,948,570,841,864,945,706,
234,342,922,941,092,577,961,940,749,037,996,386,070,225,087,983,026,159,077,
699,435,156,801,399,507,128,725,065,528,925,779,726,010,184,941,469,756,055,
861,842,363,347,500,162,706,838,886,976,414,370,923,106,332,516,471,228,331,
091,974,482,469,111,865,207,640,580,983,433,694,236,795,948,105,804,543,641,
612,468,293,768,648,779,893,159,381,825,210,824,331,429,541,352,258,351,440,
877,764,522,498,489,693,202,080,631,533,611,372,324,156,193,137,687,753,892,
618,477,187,122,073,086,168,374,812,792,606,077,936,694,802,507,927,878,118,
478,959,152,559,015,238,090,786,928,514,001,905,499,557,406,593,349,250,592,
193,864,944,838,551,358,591,898,792,263,722,516,502,090,891,300,513,301,190,
680,364,017,319,719,512,397,413,439,292,073,207,205,242,100,040,704,912,464,
044,795,016,901,853,441,732,769,024,872,786,167,128,156,580,874,646,921,027,
248,811,829,036,479,559,096,566,091,817,350,872,181,210,492,037,453,102,827,
434,165,562,459,887,591,613,787,497,372,211,454,795,429,353,407,071,729,487,
946,488,346,989,835,585,114,450,990,837,949,397,700,650,551,928,916,787,703,
690,017,678,867,839,014,917,818,449,652,190,807,942,880,076,329,806,879,306,
888,807,469,259,907,422,371,035,719,150,674,896,283,908,082,144,998,465,197,
835,968,012,871,712,226,667,445,246,058,578,298,319,752,480,443,113,895,416,
753,305,221,190,308,367,234,428,290,421,807,838,016,872,235,987,492,081,972,
331,430,593,325,384,913,228,538,034,974,917,407,726,603,889,712,033,699,528,
677,629,621,425,196,363,888,880,909,370,521,853,627,769,639,221,430,732,010,
844,471,235,582,980,407,923,495,892,009,871,124,080,510,061,533,973,109,004,
970,834,237,841,225,169,159,706,596,719,530,766,512,552,919,191,284,141,477,
480,470,548,078,935,061,245,291,563,204,165,585,162,691,891,253,232,893,325,
747,997,490,940,089,622,371,804,438,054,460,984,489,635,450,384,529,524,366,
850,542,261,373,126,006,662,774,776,320,947,567,656,950,647,990,987,322,844,
654,399,371,283,024,548,095,054,836,890,811,574,668,606,743,503,458,461,711,
930,011,062,044,777,915,063,343,795,817,182,889,207,784,357,061,136,582,624,
395,586,553,434,534,102,174,483,544,611,363,918,387,417,755,158,158,367,026,
585,743,554,173,316,497,829,479,171,674,243,740,123,701,867,773,524,715,134,
461,906,242,887,711,302,646,230,435,313,107,607,399,230,257,370,679,213,928,
483,532,904,405,664,171,376,055,010,124,207,311,587,217,975,511,671,349,303,
560,674,757,613,837,885,552,260,016,335,853,893,157,791,291,607,663,746,755,
833,677,327,333,819,947,136,955,090,498,405,834,617,132,330,170,885,091,982,
615,464,888,230,123,564,379,089,420,738,789,717,044,515,014,545,331,141,983,
589,852,692,699,898,929,732,885,330,645,142,653,704,735,993,566,078,835,425,
912,970,124,322,121,726,965,417,510,251,927,970,499,755,856,646,807,501,556,
323,614,836,064,715,202,271,670,275,947,529,180,366,436,713,880,982,842,693,
834,682,079,745,307,092,068,451,448,744,398,439,732,753,658,391,524,815,840,
793,733,093,377,380,978,075,288,913,211,083,370,360,401,640,926,826,994,616,
295,757,394,057,226,754,356,798,397,654,767,170,660,757,116,025,753,955,274,
752,603,460,107,757,169,020,220,178,911,490,418,494,309,992,159,304,057,807,
176,844,317,066,519,087,108,430,602,997,914,912,113,168,063,541,228,348,409,
380,072,947,521,872,418,256,285,575,704,249,756,298,796,977,013,011,873,255,
932,962,219,401,619,472,562,103,949,989,057,094,998,249,058,293,215,884,434,
690,451,215,908,246,230,358,512,820,863,907,383,692,103,138,534,743,869,159,
616,268,772,346,919,811,160,932,538,466,737,958,682,563,722,080,789,630,577,
340,172,090,772,057,601,256,444,103,904,201,611,977,858,897,426,134,159,889,
554,436,607,821,856,277,241,739,555,562,473,613,430,041,091,899,149,215,296,
502,358,224,238,094,341,044,761,692,860,131,399,723,156,284,919,149,518,343,
129,248,870,695,058,928,004,962,875,861,771,079,049,062,593,038,077,737,543,
546,741,574,163,518,805,920,328,905,882,299,977,742,802,448,780,943,839,263,
261,687,883,720,121,749,969,739,539,170,793,066,341,590,053,991,488,593,202,
580,138,388,928,509,946,279,658,180,287,312,708,605,065,663,304,789,378,359,
676,126,075,482,595,896,763,455,052,251,920,743,409,314,215,272,926,637,268,
176,268,939,398,270,765,181,341,337,744,625,810,794,838,765,780,975,325,806,
833,991,189,807,291,325,505,699,283,170,860,789,918,313,575,467,054,304,249,
731,577,389,256,489,094,808,486,119,850,096,162,744,956,677,741,139,698,872,
108,054,072,373,877,076,967,985,828,678,516,859,165,174,814,874,330,819,232,
478,187,763,168,741,121,154,378,359,425,970,690,379,980,290,305,275,726,273,
684,962,581,528,767,097,190,590,004,180,366,430,664,022,871,263,353,915,067,
642,008,766,820,904,572,364,100,119,197,185,251,376,939,841,403,377,857,891,
746,512,266,037,423,173,399,756,223,538,488,022,118,312,402,563,436,696,724,
978,976,664,500,268,997,687,501,015,365,765,857,484,597,537,648,497,894,755,
721,912,339,225,767,834,908,423,237,008,847,823,569,434,657,923,187,160,079,
521,617,454,643,228,482,215,532,326,723,339,421,235,763,937,813,623,494,699,
729,239,190,868,402,624,885,875,084,117,619,260,424,414,334,786,656,788,319,
095,389,427,302,108,771,085,747,789,884,280,171,450,289,485,497,600,129,337,
693,805,393,419,881,778,354,151,679,371,314,558,773,242,437,079,367,578,343,
646,769,638,310,788,281,300,784,739,380,589,414,758,051,977,936,139,979,316,
014,255,482,184,759,454,005,728,101,385,751,935,794,375,513,484,278,208,408,
646,188,554,620,763,065,629,398,486,416,347,115,456,551,429,094,816,942,408,
577,563,525,320,591,369,842,507,080,197,469,321,593,473,391,920,953,452,452,
874,114,394,164,433,035,681,175,843,997,778,490,092,652,249,059,566,668,039,
423,571,850,780,445,313,462,112,282,444,801,554,454,584,201,679,556,681,356,
975,588,252,277,514,945,141,838,242,512,566,804,689,266,624,386,201,021,685,
373,260,589,615,331,042,806,333,397,962,102,432,516,540,894,406,826,468,999,
532,695,699,787,697,146,060,877,933,255,301,039,471,997,769,289,443,199,203,
073,311,082,562,194,688,256,198,995,450,882,810,236,152,306,515,212,949,639,
092,388,017,896,786,380,580,461,786,017,550,715,583,007,033,724,878,734,536,
358,782,897,002,765,219,494,936,052,584,467,186,344,816,707,613,355,413,544,
132,379,813,706,059,279,105,089,079,256,053,317,794,559,401,597,307,453,249,
432,691,047,685,155,686,028,707,609,944,634,059,835,342,212,163,725,117,312,
962,775,471,052,325,999,427,161,719,667,779,864,852,954,882,420,193,640,697,
475,934,671,510,070,583,046,523,160,664,334,287,230,907,214,283,150,745,219,
976,600,287,086,937,936,621,153,656,484,863,641,976,949,453,790,934,802,895,
693,782,238,964,372,578,107,809,565,610,577,624,320,898,043,077,069,303,656,
217,964,316,107,053,080,693,774,561,857,048,551,573,582,919,666,712,063,267,
327,208,542,502,465,275,569,830,054,784,711,824,681,409,067,986,980,395,428,
183,285,354,038,704,184,921,526,625,204,097,785,501,113,801,144,542,007,166,
065,022,036,944,286,686,283,950,396,566,338,222,490,175,112,884,519,200,529,
883,265,650,175,172,338,048,648,378,163,006,632,578,088,534,293,909,893,494,
921,622,904,283,628,685,747,489,647,185,416,091,512,978,324,973,526,473,579,
584,153,020,961,669,518,968,377,244,577,782,796,470,852,023,483,786,505,125,
889,786,433,708,449,100,525,486,835,903,908,751,268,198,524,248,865,138,369,
971,204,818,645,214,856,986,712,828,935,570,934,183,564,632,326,956,427,288,
532,284,116,271,345,295,350,514,770,766,267,707,004,326,893,028,833,735,798,
744,136,601,062,179,650,121,917,908,025,030,524,537,252,107,803,655,450,870,
876,863,283,699,058,213,089,638,596,024,253,417,222,639,754,354,273,470,335,
144,762,096,244,369,432,051,949,085,509,352,291,743,894,034,434,570,631,851,
188,839,843,416,745,514,212,601,976,202,272,148,742,030,266,573,784,982,947,
045,485,331,447,013,275,930,024,313,668,585,610,004,095,506,502,251,350,387,
363,460,113,179,546,811,864,003,278,125,963,176,182,223,304,457,371,270,013,
152,416,231,675,708,226,538,898,923,484,783,516,069,682,729,159,502,952,630,
696,245,045,754,244,332,479,031,043,432,958,648,607,301,857,378,983,864,211,
074,278,914,360,066,082,443,701,967,895,523,227,454,859,153,293,367,954,244,
959,931,192,460,088,609,924,007,648,993,826,453,901,579,490,141,857,789,719,
567,254,844,614,995,793,367,174,257,034,081,260,107,294,037,764,513,119,515,
564,410,415,737,151,655,073,963,110,761,421,482,892,122,463,083,706,358,072,
910,716,448,601,502,902,942,849,788,062,993,240,782,494,077,750,632,351,972,
482,055,677,291,259,444,689,793,250,757,402,391,937,212,212,985,398,024,520,
893,477,426,823,427,346,982,742,464,689,881,366,773,080,927,600,618,855,498,
421,033,580,454,725,260,901,641,938,981,908,765,992,577,313,471,790,729,710,
019,651,493,371,957,461,429,377,291,310,999,771,846,556,538,981,627,638,465,
691,945,146,990,151,500,873,362,775,157,622,753,382,149,553,832,086,869,649,
821,488,976,600,620,363,956,350,854,922,642,490,071,925,510,728,499,152,268,
169,651,166,341,575,689,775,615,062,931,505,807,069,031,731,705,307,484,120,
335,661,622,699,865,835,433,613,637,364,996,933,624,785,057,068,567,298,508,
470,802,269,617,315,179,860,344,516,577,360,523,142,243,994,198,095,210,720,
135,485,518,469,786,252,141,147,088,308,855,424,114,778,407,044,500,633,366,
661,195,772,893,221,882,872,063,782,512,885,520,214,874,036,136,867,339,634,
447,759,990,637,304,795,856,305,889,446,967,923,270,653,610,013,288,291,065,
493,349,358,624,522,011,494,480,684,155,323,710,412,323,998,729,899,884,345,
238,707,056,741,306,619,293,904,907,867,687,899,189,100,444,337,317,818,026,
261,628,808,720,367,934,834,514,387,924,797,371,812,134,665,064,834,274,627,
036,727,230,589,651,971,261,123,985,619,135,108,031,058,865,816,328,073,237,
237,247,317,481,997,750,354,758,838,357,095,659,670,240,931,450,310,884,986,
277,997,010,790,731,860,190,711,770,086,953,196,042,609,305,580,284,850,463,
346,976,323,049,702,229,956,545,375,318,890,564,214,515,113,479,615,080,492,
648,602,358,751,236,966,360,824,233,225,796,478,001,999,597,641,991,110,477,
945,486,242,846,074,475,713,469,547,416,890,635,473,373,624,508,278,042,567,
779,012,990,014,888,749,961,402,752,639,217,396,048,074,863,095,099,075,986,
596,609,722,309,279,320,601,437,530,658,316,889,279,107,350,903,439,085,055,
775,461,410,715,578,989,771,971,137,567,296,737,924,911,140,330,369,869,889,
743,924,759,715,060,615,431,582,044,409,178,929,452,382,976,407,235,419,809,
918,681,242,028,343,077,796,945,172,850,484,459,615,745,353,774,878,656,019,
844,000,091,844,673,268,369,658,381,300,580,561,762,825,336,862,214,966,472,
067,485,321,256,679,513,911,538,873,549,266,807,752,290,266,517,764,227,739,
560,405,656,823,931,602,054,795,873,175,908,016,395,778,815,877,233,046,662,
834,240,919,547,783,704,565,476,993,730,689,555,610,965,650,126,479,631,470,
840,079,041,420,633,426,442,991,877,342,165,457,435,444,191,005,949,740,617,
729,983,354,461,882,236,518,237,685,099,907,650,344,086,882,634,614,313,810,
897,670,061,056,800,261,155,241,117,175,677,881,835,214,065,650,847,327,277,
034,651,628,942,495,113,188,888,420,844,891,319,389,556,812,695,362,567,515,
996,538,665,317,264,267,456,947,362,494,330,111,786,341,384,255,763,555,215,
139,274,278,998,207,732,821,475,943,997,546,704,295,988,885,114,515,884,548,
735,648,706,534,053,582,605,275,131,376,156,863,471,273,213,451,484,807,195,
763,660,804,409,019,996,254,746,351,962,206,986,633,329,416,841,701,144,790,
365,111,665,560,808,240,719,371,827,663,231,095,781,229,761,351,210,452,388,
994,691,069,849,317,493,670,085,380,229,374,587,877,752,201,524,132,424,308,
094,834,837,337,879,631,204,451,603,643,262,620,980,495,029,994,928,784,211,
935,502,588,516,761,334,304,853,540,063,381,462,188,229,334,155,105,263,535,
485,326,534,571,501,766,786,573,092,663,170,609,166,377,760,245,317,059,913,
702,583,105,845,824,062,854,099,681,291,037,595,168,838,537,145,823,386,429,
018,697,932,369,860,587,602,072,728,501,001,231,350,272,661,639,296,421,057,
716,932,541,144,706,618,057,467,953,160,612,963,997,703,380,948,307,076,399,
693,020,764,561,818,908,495,781,999,449,596,365,415,224,314,979,375,373,016,
423,533,039,424,748,375,333,769,158,685,705,066,065,337,361,378,690,564,597,
811,091,433,403,257,178,748,710,049,778,615,901,657,571,212,604,792,473,811,
121,485,254,178,531,292,089,014,168,322,030,102,176,072,905,947,314,584,329,
864,936,365,607,135,802,591,904,939,787,518,541,373,143,492,262,559,573,039,
981,605,189,955,970,735,215,824,612,754,138,917,478,767,399,247,430,869,041,
562,858,913,716,959,537,820,940,428,907,482,956,181,599,583,088,564,500,035,
616,500,118,019,537,868,347,258,205,352,599,905,701,055,894,454,462,766,513,
979,540,618,112,001,444,460,572,686,052,471,896,642,947,248,830,135,974,096,
926,824,165,427,473,630,235,195,533,865,783,088,081,349,565,349,794,324,392,
555,987,842,110,163,237,997,838,145,702,150,948,498,616,577,629,708,186,968,
434,233,823,888,720,499,948,518,423,530,692,899,449,328,586,835,627,397,295,
540,545,782,457,445,162,356,319,895,818,970,116,444,438,849,533,043,227,220,
516,060,576,617,717,238,442,455,186,580,353,455,764,789,178,233,159,821,641,
478,991,357,683,007,804,058,645,117,646,607,228,301,655,169,958,837,020,031,
630,621,703,607,331,543,891,203,818,214,528,438,508,936,691,753,155,425,868,
920,936,850,391,141,903,921,444,284,802,843,566,802,149,492,680,474,239,936,
014,413,220,471,897,046,390,826,588,474,594,768,866,484,575,576,501,394,462,
312,961,232,194,157,678,584,894,471,030,321,500,674,525,919,562,593,117,259,
264,522,463,186,409,969,948,333,501,125,472,622,512,628,258,403,723,537,569,
080,001,099,141,388,570,786,157,585,851,644,018,339,547,595,490,350,870,310,
804,538,981,163,321,086,286,164,136,194,413,895,960,816,810,178,570,940,286,
573,382,067,419,506,363,460,207,796,110,278,132,197,394,945,932,409,521,370,
632,716,959,735,200,066,631,270,224,356,363,834,904,521,918,642,762,797,342,
536,032,191,932,475,345,865,689,325,506,575,679,242,004,093,108,306,767,302,
711,366,642,060,179,554,349,830,031,458,243,509,737,113,755,751,661,042,439,
696,951,645,139,619,316,871,796,047,637,527,937,116,943,055,267,370,157,448,
385,625,472,980,403,016,982,179,697,957,961,858,607,415,049,898,071,069,131,
825,119,735,052,332,479,870,738,555,332,264,615,065,613,404,322,439,446,498,
480,124,686,548,447,229,730,602,842,957,620,525,045,819,455,461,536,283,372,
673,567,368,784,891,784,539,672,142,971,291,490,559,945,542,720,241,523,615,
650,438,424,708,259,885,141,066,946,797,217,816,503,168,306,426,142,517,994,
888,845,728,111,740,811,699,762,650,081,273,819,701,828,950,061,847,216,019,
736,658,742,865,339,034,861,122,515,105,447,984,201,630,640,014,815,108,214,
753,168,387,824,465,860,222,571,951,894,193,975,909,089,218,600,820,466,436,
116,413,109,486,627,378,462,707,462,378,168,519,100,472,621,019,474,203,699,
113,880,025,629,589,964,945,186,920,861,001,270,661,180,940,385,020,792,037,
156,174,993,224,906,590,529,645,688,817,810,253,886,931,322,395,499,428,734,
039,986,536,920,992,920,886,172,913,616,875,151,204,148,482,430,233,510,617,
753,863,462,840,302,842,794,543,320,648,892,152,791,729,962,856,659,852,665,
391,389,872,991,739,766,810,808,327,918,979,483,499,080,489,853,058,737,890,
958,227,446,893,979,437,253,570,541,278,201,874,814,098,576,280,806,954,190,
392,422,205,471,359,773,244,914,374,438,995,173,538,405,477,337,717,251,200,
919,272,701,720,198,536,986,311,643,309,715,551,316,347,665,242,358,506,586,
004,249,891,549,430,287,091,614,535,763,107,425,243,304,875,014,845,589,700,
534,000,663,461,972,455,569,320,005,380,579,000,024,655,248,626,033,546,741,
097,392,715,671,856,847,185,508,537,107,511,878,009,812,207,546,710,671,519,
916,859,379,193,155,606,954,976,354,736,352,911,086,755,139,279,930,350,921,
998,535,149,150,090,695,657,444,241,497,144,511,296,743,595,509,802,588,555,
008,321,240,504,963,054,461,489,763,393,497,506,269,848,761,075,721,360,722,
904,268,218,707,085,519,545,875,168,217,210,916,203,973,575,672,884,494,768,
609,186,989,803,444,742,761,550,886,749,558,472,646,243,886,680,859,230,338,
943,854,735,237,336,583,543,647,744,734,442,607,057,316,927,447,121,642,920,
323,683,675,717,327,839,548,749,642,646,293,040,682,727,013,863,479,722,178,
917,483,418,304,593,430,105,649,432,638,932,247,191,473,616,107,591,757,558,
112,298,523,961,927,339,752,416,499,167,392,562,977,428,105,440,603,229,345,
605,512,048,112,410,993,120,406,296,747,944,315,091,821,749,112,609,050,363,
193,965,100,303,613,351,758,619,877,192,420,086,189,189,928,037,558,394,035,
541,110,542,920,528,247,838,443,310,403,870,279,957,412,746,159,196,749,540,
385,202,071,199,567,807,018,061,439,395,426,793,558,246,992,721,312,524,582,
690,476,647,767,225,558,690,114,168,170,451,931,343,711,538,228,351,292,317,
712,274,093,491,539,518,961,029,980,667,118,004,659,484,914,803,354,548,650,
694,261,990,221,904,583,581,094,487,258,808,291,144,976,768,261,769,598,592,
840,064,062,612,099,259,413,147,506,425,396,553,399,684,162,575,778,091,214,
048,931,785,517,642,348,133,329,824,107,070,915,228,390,645,392,887,831,776,
092,370,018,451,156,352,215,783,043,296,041,189,006,663,640,748,163,208,182,
377,014,509,038,312,159,260,298,193,033,307,156,668,332,917,805,176,449,835,
187,281,046,641,041,306,039,076,154,689,801,400,580,540,551,035,386,082,234,
326,355,689,307,765,784,305,606,846,027,722,865,378,087,849,480,268,760,932,
480,591,912,382,809,715,876,946,328,305,935,978,442,948,859,065,383,699,339,
571,960,476,965,621,745,518,379,835,454,028,093,525,156,935,971,109,367,592,
033,100,042,834,043,282,514,553,332,614,765,587,670,409,078,212,642,494,277,
342,736,181,378,019,974,824,102,206,591,588,052,539,676,266,242,132,861,657,
084,579,247,741,712,601,569,723,201,679,017,941,009,689,656,668,001,540,905,
170,051,549,174,291,251,108,040,439,043,758,591,881,254,492,951,373,353,895,
976,178,421,605,381,115,506,789,005,094,460,330,372,528,168,027,482,291,115,
262,902,592,718,484,370,596,659,423,142,514,571,172,096,181,818,117,219,082,
231,642,196,740,099,267,236,179,722,757,224,158,209,885,259,580,419,254,042,
985,303,164,895,811,353,361,125,422,590,861,678,537,993,245,787,498,288,368,
645,507,658,347,347,795,533,631,963,731,181,318,544,461,956,469,144,840,764,
566,653,731,870,448,204,700,026,276,053,317,757,897,570,319,852,612,562,929,
190,327,764,612,467,483,940,676,410,913,331,236,427,120,709,212,739,657,615,
361,933,274,984,857,467,302,887,757,881,931,751,904,952,564,484,565,473,341,
976,947,891,995,095,076,951,592,440,702,178,257,266,786,563,773,034,013,638,
620,361,026,395,934,607,715,950,926,711,044,359,577,843,224,205,702,515,321,
338,597,776,375,357,364,901,102,677,354,799,923,316,743,937,192,261,148,253,
286,335,579,460,588,903,091,261,226,395,425,564,413,752,911,024,343,765,119,
311,942,858,219,074,783,600,991,114,929,685,150,540,263,865,708,831,857,535,
488,013,500,024,695,911,876,436,107,397,458,235,370,161,012,836,495,991,578,
669,014,883,047,483,813,500,872,807,778,257,364,697,182,273,530,606,672,027,
803,420,903,384,036,909,900,759,095,696,053,148,992,557,200,789,151,794,708,
570,524,559,179,387,913,955,474,332,389,129,047,521,951,981,642,761,024,539,
224,474,732,427,693,113,263,634,516,569,871,688,938,323,405,509,237,767,419,
044,042,142,813,194,149,066,339,619,953,387,397,406,215,759,667,188,266,037,
616,226,800,012,263,984,436,497,233,760,861,429,943,414,892,273,859,756,305,
567,297,368,216,806,136,152,977,501,824,777,147,694,963,542,349,969,867,285,
567,909,324,269,606,529,711,206,347,460,796,489,012,418,022,304,695,265,093,
170,554,937,838,578,328,970,490,782,418,490,913,620,886,759,895,863,796,578,
124,655,012,783,285,288,504,222,967,583,659,647,807,523,198,026,090,573,417,
197,660,517,779,349,891,242,240,232,263,066,037,846,493,787,628,336,320,820,
766,918,059,813,957,065,843,719,890,062,880,695,743,843,164,175,273,547,776,
231,459,990,108,526,423,395,552,048,632,860,849,389,495,526,378,095,557,976,
196,339,359,574,301,423,051,232,705,013,849,117,041,359,021,937,191,261,076,
936,897,251,246,217,042,214,692,570,988,359,283,342,398,895,050,574,901,643,
419,751,155,165,163,633,026,995,930,131,641,976,969,335,874,960,417,023,310,
608,959,516,991,887,419,826,969,410,652,159,611,368,057,112,380,038,613,957,
473,317,079,642,181,947,132,892,164,060,062,170,312,777,016,230,176,945,455,
812,690,671,641,492,570,610,612,505,444,983,630,985,368,827,346,127,345,302,
074,795,481,100,659,041,495,633,042,810,797,282,045,659,110,500,823,545,042,
806,096,285,023,614,468,040,090,366,438,149,694,012,456,480,986,789,521,437,
025,242,187,613,507,521,969,159,525,480,111,048,815,669,375,150,573,837,078,
568,585,475,084,599,558,344,935,956,007,846,166,350,722,409,941,254,915,794,
804,895,640,071,268,379,457,201,814,059,414,886,960,361,368,017,689,538,368,
193,362,511,217,883,709,293,358,068,276,055,491,552,028,724,010,778,878,403,
084,865,486,172,181,803,404,776,492,598,379,772,709,014,595,191,843,284,999,
442,774,430,860,340,553,523,403,947,206,686,663,904,642,962,742,108,088,305,
076,369,370,282,313,405,998,556,127,521,951,165,880,785,019,454,233,561,921,
046,934,656,246,541,459,808,430,404,519,731,604,461,541,420,262,964,718,865,
988,892,261,932,416,524,415,613,787,697,253,414,243,931,858,474,872,126,333,
465,390,800,482,805,733,147,361,869,715,973,108,207,946,338,587,507,692,014,
906,958,141,283,618,486,710,262,451,854,593,748,895,961,987,240,464,408,245,
903,325,127,662,898,243,702,204,815,896,428,456,917,934,005,346,258,611,616,
761,615,750,593,357,837,750,489,591,875,139,016,863,541,744,752,199,200,810,
665,785,925,402,609,975,283,107,159,988,009,979,274,418,793,721,975,795,091,
100,080,569,358,856,096,924,288,795,979,180,190,467,540,849,812,602,746,140,
758,402,397,335,268,709,471,949,678,424,047,790,438,995,234,697,438,440,431,
634,707,309,985,432,732,257,731,440,686,437,230,020,263,242,245,846,293,386,
861,114,531,942,132,690,510,204,747,881,489,810,990,491,825,599,144,586,191,
763,856,120,559,046,795,673,127,471,323,945,604,261,434,420,214,099,062,771,
807,570,354,947,953,627,648,039,696,224,203,255,076,813,438,137,530,432,940,
451,917,021,379,015,391,929,208,522,102,987,744,912,754,702,935,794,712,730,
202,915,622,852,312,141,574,279,415,990,028,067,132,305,865,784,584,556,221,
916,660,541,884,357,261,406,136,090,343,662,127,369,431,231,356,622,939,271,
540,168,998,786,058,833,995,496,788,946,552,777,224,470,938,273,527,652,681,
205,958,022,182,093,666,861,845,140,515,411,450,691,998,108,033,201,063,618,
719,638,310,362,984,877,927,085,594,181,064,277,856,829,032,216,226,602,940,
531,734,146,748,660,544,289,733,765,445,652,636,494,476,061,931,065,808,055,
985,682,430,712,240,772,901,080,059,447,716,685,582,131,415,047,013,117,523,
850,565,571,350,376,510,956,484,809,308,275,753,899,189,980,575,619,703,734,
812,267,163,066,970,894,150,033,154,065,607,293,829,875,904,600,010,244,157,
784,446,860,212,747,846,767,411,855,088,814,548,436,003,239,895,262,127,609,
714,114,322,834,305,922,019,198,521,707,512,051,914,896,625,446,434,239,850,
488,353,355,314,693,658,207,188,367,087,269,313,959,048,190,688,012,654,468,
008,699,880,735,089,696,222,651,290,443,383,284,732,995,828,883,759,952,722,
378,249,566,193,894,814,896,070,920,561,586,332,187,733,213,530,052,090,371,
988,944,896,312,880,398,416,087,324,318,474,164,740,825,003,295,420,248,142,
307,861,665,033,569,863,678,004,828,563,280,914,406,837,261,365,091,904,996,
169,453,931,379,856,160,967,807,472,569,468,443,310,035,195,733,973,198,269,
438,982,523,757,594,695,705,870,869,813,537,092,871,474,357,903,910,342,719,
811,014,316,573,621,380,859,550,887,029,535,917,964,619,984,334,430,876,142,
933,242,309,083,141,981,645,565,394,611,259,479,026,887,555,871,890,136,548,
711,038,257,874,566,474,027,779,863,702,733,534,906,644,712,098,864,983,401,
574,510,291,752,138,277,183,777,498,618,199,674,673,058,619,065,643,153,452,
589,693,075,504,105,234,168,727,684,421,331,301,571,698,996,906,381,279,712,
846,965,464,870,774,833,931,670,938,634,497,900,735,978,385,091,039,802,801,
098,273,512,615,968,787,790,743,737,520,380,532,961,726,751,259,166,546,080,
929,584,512,106,353,973,127,951,115,476,340,210,249,186,283,419,039,774,958,
818,910,184,163,753,936,691,422,788,562,562,880,426,811,504,251,018,585,859,
221,522,161,162,526,374,964,746,610,691,086,194,800,245,261,524,642,923,578,
596,759,965,733,824,569,249,424,261,121,678,614,709,394,973,731,148,168,453,
147,573,358,698,638,763,200,508,497,850,037,120,610,278,928,726,010,734,105,
116,209,175,906,425,321,082,038,311,731,147,470,211,570,291,284,345,687,643,
515,636,919,102,345,083,880,552,776,670,643,372,858,485,991,768,228,024,932,
758,141,992,611,049,549,264,350,471,267,921,345,751,253,065,737,859,772,124,
025,227,916,941,564,668,945,895,342,399,279,620,097,660,849,123,025,846,756,
047,642,400,040,282,784,779,807,618,349,467,660,577,577,845,063,422,429,387,
953,872,855,006,274,484,892,607,089,605,381,621,088,732,171,643,641,286,262,
515,798,497,455,211,075,806,630,033,614,520,713,180,684,360,418,625,079,825,
017,491,943,664,332,567,908,563,923,582,076,763,972,710,786,483,628,578,195,
750,639,157,499,185,863,497,801,489,014,102,801,856,553,860,550,882,155,671,
938,071,171,042,333,518,082,925,862,686,210,273,977,957,433,878,277,829,734,
599,076,496,789,496,935,321,934,465,857,240,718,061,404,095,109,342,279,177,
126,738,883,784,060,598,260,723,108,278,725,321,161,839,210,541,147,308,056,
133,709,629,125,764,163,503,883,567,203,697,390,284,427,239,370,564,679,161,
588,961,238,958,847,917,952,298,533,655,709,770,237,476,928,848,446,454,561,
489,315,390,607,614,445,975,625,389,486,577,080,378,373,496,673,185,289,784,
675,016,991,265,917,537,466,285,345,029,604,026,330,688,631,206,820,843,966,
090,662,732,760,221,201,804,355,431,376,779,548,637,818,406,994,867,651,998,
286,785,363,239,668,117,866,319,107,186,836,491,832,111,669,560,529,159,570,
982,088,597,884,119,966,609,779,582,413,781,609,206,363,924,103,894,597,792,
084,508,680,017,414,515,762,477,410,005,996,661,351,334,758,846,238,792,904,
336,851,779,749,714,752,477,908,227,221,123,021,538,982,536,767,442,923,299,
131,830,687,962,331,723,954,576,796,003,357,413,872,558,124,675,099,797,253,
480,698,507,135,779,367,507,146,981,803,664,654,118,061,910,711,952,517,444,
097,061,012,670,515,912,058,128,526,243,065,190,643,303,506,509,916,335,058,
119,852,866,240,150,638,946,372,935,868,928,270,008,803,518,355,048,367,614,
136,290,959,854,783,196,540,105,486,070,037,583,007,514,827,583,725,737,944,
455,637,554,104,561,733,597,495,928,254,649,065,553,156,315,448,500,583,348,
437,180,213,578,619,800,536,377,226,418,040,201,571,643,089,641,808,514,437,
392,611,480,733,058,728,390,057,964,593,241,289,879,640,643,897,036,883,958,
343,983,000,559,331,460,787,465,767,784,623,621,446,169,153,219,430,764,515,
233,732,637,421,253,138,730,221,110,949,174,741,954,565,476,299,284,810,067,
478,371,283,046,627,295,457,625,014,885,411,352,849,434,070,195,810,201,060,
050,231,157,184,631,304,917,744,346,487,850,586,626,492,239,888,346,332,336,
245,499,712,535,384,527,553,231,476,709,936,060,520,725,491,843,261,761,531,
625,693,502,376,732,371,711,419,396,940,474,557,610,437,949,415,773,481,622,
011,523,903,988,793,113,538,807,206,088,258,206,123,119,844,213,781,344,368,
869,586,337,257,628,744,637,606,495,041,560,548,130,180,257,600,707,388,772,
674,937,186,950,292,684,129,725,506,358,013,151,480,078,710,138,350,247,854,
554,387,482,928,369,243,142,031,127,514,369,872,394,562,852,928,878,981,712,
591,390,292,145,736,629,495,367,784,884,808,782,395,824,978,555,116,097,103,
457,223,718,495,500,932,031,380,675,322,113,946,126,551,620,792,978,721,449,
876,456,156,038,581,200,708,718,994,394,345,471,203,496,750,323,411,363,705,
313,519,588,303,128,242,532,450,622,910,135,377,921,841,597,271,384,642,886,
177,594,186,048,955,693,736,736,326,420,464,259,919,770,143,112,092,717,735,
733,033,835,564,579,510,509,694,873,604,396,603,005,065,232,130,930,020,384,
428,359,477,640,874,197,512,417,333,199,057,931,333,331,836,363,642,176,193,
135,900,117,584,703,074,589,814,087,527,191,064,681,469,342,996,729,754,186,
148,259,711,705,700,789,051,663,751,583,357,318,417,397,688,622,907,113,858,
810,549,350,213,232,674,825,190,211,120,581,466,699,934,986,492,085,769,796,
233,635,285,028,104,687,089,989,937,809,645,697,470,907,757,585,630,119,902,
236,091,976,641,860,178,221,608,960,851,153,033,215,051,901,310,588,927,516,
771,210,438,321,379,363,237,565,949,027,436,135,721,619,635,310,843,797,795,
610,081,808,442,037,468,274,606,671,766,995,380,181,626,864,565,488,975,882,
337,506,451,642,795,686,337,160,423,430,808,926,495,743,401,661,745,848,538,
681,335,740,668,624,170,724,287,033,899,588,056,589,626,422,749,210,844,939,
952,949,472,740,414,239,972,266,842,196,286,952,465,712,491,024,947,136,306,
367,165,398,285,301,532,011,322,369,339,389,945,420,204,690,820,099,527,166,
963,624,223,288,701,637,948,359,001,181,437,187,283,415,912,843,890,683,595,
969,802,179,100,323,166,009,646,574,356,944,368,791,393,341,884,952,356,593,
606,541,612,674,753,157,608,667,916,713,685,461,145,222,491,211,843,293,068,
598,912,288,189,830,776,509,471,198,888,735,230,196,824,271,518,431,824,147,
235,530,042,787,323,548,412,023,568,323,578,949,973,848,779,788,243,971,877,
000,300,916,161,086,463,519,974,541,189,891,483,448,916,031,374,638,278,867,
774,134,683,881,750,519,515,051,364,178,994,738,454,843,431,251,174,418,903,
260,160,366,451,501,481,747,541,564,596,729,376,274,803,310,775,490,162,392,
432,958,942,030,304,125,769,709,835,006,300,680,793,289,762,914,230,768,416,
205,884,827,116,075,938,620,211,887,253,191,248,364,543,008,815,778,533,480,
504,976,007,218,226,050,798,919,235,914,387,567,897,322,640,832,372,721,718,
486,717,487,295,610,832,369,569,222,602,005,338,395,468,984,460,939,774,578,
972,310,995,203,566,228,912,218,677,847,668,579,778,926,182,938,031,703,246,
425,822,844,314,919,204,061,628,893,233,850,463,492,264,327,547,138,722,436,
983,873,407,975,913,305,922,177,592,623,060,500,647,704,395,725,817,972,078,
403,275,162,245,001,805,371,174,052,507,754,662,737,775,752,665,760,740,578,
192,139,699,202,124,138,625,837,458,655,175,450,264,577,631,957,587,763,010,
555,606,159,406,625,883,795,472,011,821,557,153,210,126,107,932,612,912,122,
677,858,279,290,443,697,248,100,915,366,405,395,955,697,764,044,623,264,700,
348,169,532,100,816,491,467,324,430,614,039,692,011,636,120,732,283,652,209,
824,962,905,128,205,849,333,090,855,095,749,978,482,951,641,483,030,338,465,
008,507,416,253,021,149,620,243,604,099,875,629,668,614,679,268,239,097,374,
140,927,031,767,668,886,092,438,578,729,844,799,117,178,046,530,646,023,754,
999,218,598,117,768,120,303,683,764,226,705,476,290,498,333,345,453,768,787,
712,759,670,075,404,417,718,771,379,247,374,360,109,801,840,205,442,939,500,
533,283,395,593,963,587,000,675,285,802,397,377,690,656,381,110,869,161,171,
092,094,969,481,189,502,745,048,254,401,950,872,216,267,622,868,883,217,287,
674,792,677,115,124,679,145,112,226,734,909,315,645,325,212,737,585,193,872,
025,263,491,413,587,890,563,196,242,473,326,065,408,272,623,260,423,972,049,
833,356,843,954,168,473,915,055,691,601,698,549,680,459,306,012,879,834,498,
018,234,697,719,613,118,754,728,746,948,524,850,036,376,082,204,721,705,870,
990,640,821,187,012,940,067,466,867,278,660,463,652,668,869,329,373,549,370,
864,007,657,439,013,968,355,401,290,250,209,019,247,624,218,573,357,380,271,
378,536,759,318,825,226,847,150,117,425,561,987,498,085,595,331,642,844,446,
160,220,813,121,416,645,190,444,308,574,001,704,621,091,745,576,991,092,421,
889,315,479,285,580,435,616,562,871,905,998,283,533,253,199,472,255,319,207,
070,287,220,492,276,755,607,307,845,508,932,150,397,423,626,942,572,358,725,
953,087,224,633,335,428,782,725,782,548,330,248,349,538,327,794,305,488,151,
243,894,472,952,603,581,887,673,075,243,140,362,028,959,232,251,432,885,922,
534,280,358,242,656,294,436,256,909,248,296,713,517,115,618,578,379,777,853,
717,287,005,930,917,196,517,276,681,297,632,004,592,841,946,787,895,816,237,
426,625,189,569,278,809,585,186,377,960,650,572,462,061,915,252,730,404,911,
984,566,307,939,837,797,070,339,009,089,778,768,946,347,138,188,814,442,718,
423,245,608,451,361,379,831,931,398,327,254,139,712,120,642,439,289,372,649,
022,958,985,037,989,787,592,015,255,825,301,342,498,370,203,029,960,332,311,
938,442,818,392,822,308,066,263,412,078,100,624,336,990,773,456,426,512,377,
267,853,787,311,345,740,526,875,153,539,517,911,727,070,970,965,780,542,725,
045,188,922,331,932,942,355,993,679,265,754,989,132,726,548,083,178,399,556,
225,759,990,227,297,135,916,899,066,793,632,525,455,414,708,918,858,406,873,
330,216,028,467,479,972,457,821,496,217,100,263,059,104,638,755,378,103,345,
669,839,040,784,325,746,824,292,342,324,400,437,220,394,175,888,103,400,160,
098,631,350,175,975,582,007,307,284,771,185,301,190,537,062,283,360,106,284,
998,201,498,363,248,514,617,111,662,402,474,875,469,411,427,176,773,429,778,
873,722,019,598,788,933,243,695,357,227,213,758,702,451,774,441,747,637,710,
368,195,426,441,048,234,972,939,040,711,893,173,585,564,440,480,101,214,786,
625,459,785,583,390,108,062,274,382,667,805,819,792,645,972,735,275,126,082,
003,994,080,071,751,563,168,484,033,794,755,723,297,890,524,813,165,237,604,
989,782,181,723,670,413,065,059,628,071,264,238,851,249,255,792,644,200,813,
230,097,288,892,700,387,383,149,863,317,907,051,905,575,890,264,311,962,151,
513,068,319,673,504,992,965,013,737,981,610,453,553,879,438,843,745,649,039,
795,335,112,827,502,830,628,491,204,927,558,374,817,008,150,175,939,783,880,
546,226,835,868,881,669,876,370,901,384,037,109,891,608,340,522,797,285,084,
534,660,123,800,669,855,659,956,650,656,102,736,480,138,338,287,942,993,804,
677,304,227,413,894,745,089,701,338,963,382,350,029,408,441,649,743,721,309,
188,495,261,805,589,192,015,217,901,303,962,493,190,133,346,552,416,796,091,
420,668,220,081,145,733,548,450,938,756,598,178,963,629,198,625,265,014,094,
336,153,190,144,060,191,323,558,346,158,099,074,088,519,256,562,737,394,029,
548,512,175,876,419,013,129,752,345,502,560,061,370,908,350,443,441,539,225,
907,485,826,789,968,015,235,656,159,681,088,459,076,831,379,005,334,655,986,
902,467,471,417,890,220,658,781,777,494,896,272,095,129,168,988,137,374,497,
930,884,451,571,526,945,380,011,334,979,490,731,939,160,253,885,398,375,751,
476,143,233,647,030,524,408,476,767,661,535,684,512,182,702,637,911,817,137,
166,741,024,466,320,545,099,908,197,661,752,791,832,888,564,524,689,792,551,
366,181,383,871,847,594,377,745,649,118,028,517,341,391,335,921,930,050,735,
342,832,038,987,856,360,467,710,476,976,208,782,868,563,169,970,087,863,927,
884,825,048,495,664,427,194,329,779,101,036,137,464,653,674,852,446,173,463,
026,422,460,396,475,075,029,325,971,031,252,782,907,445,968,849,604,094,714,
953,401,997,552,690,708,801,394,373,122,084,347,301,073,214,360,259,610,877,
551,994,067,407,858,095,545,456,217,926,618,469,399,520,966,109,322,272,002,
127,938,339,265,442,404,510,895,999,793,770,552,446,941,076,710,257,931,379,
999,109,960,179,071,023,817,639,486,580,216,659,593,089,064,133,154,676,966,
484,982,612,525,413,228,091,628,090,334,151,731,655,321,385,683,023,767,234,
715,921,696,502,808,930,336,868,581,561,804,305,449,473,465,365,817,951,130,
521,984,114,607,936,773,806,787,830,770,512,316,299,437,791,189,300,517,947,
047,900,031,949,941,765,597,953,349,214,182,491,437,078,934,386,956,260,217,
511,100,305,928,799,862,098,164,514,693,080,654,203,229,318,521,078,076,260,
287,572,170,751,257,748,247,078,139,779,664,778,129,842,227,914,728,622,778,
763,206,196,451,681,788,366,240,976,977,608,786,828,647,182,472,839,814,261,
291,832,551,303,970,915,374,967,667,360,934,016,304,485,152,842,244,118,757,
730,255,869,341,823,359,706,073,283,776,950,114,771,740,517,804,404,781,507,
935,307,425,159,088,807,456,580,081,966,180,988,600,840,962,087,597,247,113,
284,491,617,526,020,489,611,691,820,771,435,590,908,142,045,805,826,959,939,
098,719,044,450,090,758,667,407,804,904,957,540,420,391,161,319,082,564,798,
268,063,402,759,379,903,513,120,582,281,998,953,863,127,642,712,631,860,422,
703,820,802,237,196,184,191,206,253,873,879,820,856,845,874,643,674,664,736,
850,063,120,304,279,997,302,641,277,183,840,962,676,268,950,665,698,526,199,
540,459,055,972,573,604,523,830,497,858,408,043,088,005,269,275,385,366,175,
342,709,103,250,641,957,471,866,402,471,067,693,931,859,691,910,259,548,350,
830,986,642,537,828,387,517,891,528,905,585,991,184,143,305,572,883,446,268,
371,702,754,074,957,435,136,725,883,364,589,663,686,135,137,275,433,424,081,
893,088,767,703,331,490,653,480,541,913,763,168,013,122,904,187,789,913,986,
946,119,107,443,341,543,072,851,376,774,723,248,782,805,954,473,236,133,981,
822,717,330,437,675,942,196,325,618,542,650,269,363,012,594,640,307,324,275,
615,197,253,500,702,305,258,935,769,901,598,694,701,335,567,661,972,267,403,
009,743,719,332,798,540,566,801,536,273,432,432,593,421,200,691,142,394,014,
175,594,016,581,914,585,633,032,336,290,668,663,820,107,454,870,650,271,980,
190,135,974,835,323,082,653,230,256,901,464,083,811,214,792,177,042,207,844,
906,177,080,715,633,524,974,669,696,406,491,467,859,699,536,899,268,771,254,
485,892,367,015,701,000,388,513,012,604,189,607,541,726,388,163,327,938,755,
824,354,782,879,952,786,921,789,210,980,101,309,982,122,802,103,559,827,782,
304,043,229,023,350,428,447,945,352,146,500,010,984,874,037,618,576,801,963,
229,582,716,219,963,698,392,929,622,433,011,882,898,956,034,455,852,570,375,
839,190,375,866,170,051,167,357,941,579,857,690,545,031,443,580,208,791,243,
981,773,547,829,604,711,916,410,104,232,061,400,143,136,564,033,915,791,559,
284,973,789,900,821,451,370,835,243,415,185,309,317,317,178,555,661,299,795,
654,710,075,850,136,503,295,072,015,749,324,449,172,545,705,578,042,633,183,
440,188,059,482,988,846,713,830,906,502,020,368,772,636,388,839,354,308,221,
898,561,528,449,477,954,780,058,512,209,820,999,101,915,194,000,491,582,351,
058,307,728,664,159,583,178,993,563,208,047,821,228,525,097,631,917,142,605,
973,499,592,030,179,419,200,906,240,134,491,354,893,410,921,199,890,879,914,
193,936,288,131,602,397,284,804,620,041,224,520,379,019,386,633,625,778,020,
236,266,678,926,045,464,757,445,481,996,476,846,863,671,278,267,554,212,937,
368,615,943,124,563,938,451,749,623,180,032,394,231,948,812,921,775,910,452,
119,283,579,681,215,675,375,072,803,161,002,824,904,135,668,517,768,451,806,
291,079,054,218,873,252,018,560,760,677,815,025,948,327,891,323,084,892,996,
232,392,076,939,477,100,559,610,801,364,060,890,636,129,421,256,761,482,413,
576,167,658,427,540,234,259,983,694,652,617,348,348,773,113,760,964,909,947,
224,053,798,666,049,152,768,535,092,111,389,217,016,745,607,154,239,151,284,
158,701,977,194,511,085,070,987,389,207,281,589,045,374,080,527,937,800,160,
458,640,563,460,448,624,864,103,788,601,340,524,246,211,355,143,900,688,059,
571,639,646,641,767,797,614,328,084,729,847,580,456,672,783,220,775,662,291,
002,603,634,679,467,475,994,287,045,832,398,145,840,177,129,872,875,234,829,
853,569,064,737,346,247,583,964,319,214,776,192,577,684,632,362,084,203,350,
245,363,671,051,910,553,394,706,119,099,507,149,584,884,000,535,354,268,178,
358,528,692,159,714,948,892,224,366,948,835,190,215,991,423,653,288,504,041,
315,315,984,714,795,815,371,959,762,623,078,633,633,326,614,000,283,186,320,
540,102,078,772,818,048,905,403,981,427,210,334,251,127,636,896,631,152,590,
762,018,595,837,113,120,257,332,263,690,499,782,575,743,198,987,762,305,564,
645,076,497,045,285,792,019,953,630,084,966,882,789,030,280,913,716,549,546,
355,159,325,538,265,455,562,461,258,538,701,206,911,105,700,881,088,463,625,
259,882,097,632,017,050,211,186,272,802,515,726,814,412,370,910,497,511,969,
985,154,103,802,825,735,966,859,620,229,791,012,498,131,863,237,837,015,807,
124,364,988,657,896,447,076,866,920,458,710,848,644,789,499,921,807,310,254,
807,962,744,009,119,777,294,421,567,835,825,063,788,244,262,808,919,130,859,
619,254,754,009,554,424,304,225,460,896,365,613,264,594,676,468,535,643,367,
326,578,378,375,798,283,040,105,252,678,121,398,559,611,995,082,597,268,981,
688,922,973,789,477,424,951,546,829,747,717,284,021,828,806,547,651,670,076,
466,296,741,217,239,958,922,734,036,950,410,674,488,995,000,955,289,205,889,
110,387,876,047,726,010,537,008,093,164,712,343,103,974,116,286,816,689,384,
444,690,272,975,681,663,481,456,362,885,001,444,588,896,495,541,481,461,448,
614,504,938,361,896,341,124,055,405,473,761,434,027,507,111,646,871,915,431,
448,471,573,482,133,074,090,565,664,965,450,524,041,665,975,316,825,703,705,
526,853,657,523,901,962,177,344,375,931,420,615,120,103,142,511,548,929,524,
033,014,297,258,088,840,212,992,233,830,099,041,831,171,848,379,075,543,499,
932,120,401,833,416,038,429,863,943,041,475,383,333,257,319,601,032,483,871,
728,513,061,493,136,867,223,008,056,480,310,281,806,998,329,024,688,051,617,
082,835,210,854,179,073,507,900,078,158,476,542,120,993,738,256,225,181,634,
184,918,428,164,186,486,467,410,693,486,107,077,211,100,045,073,959,307,591,
398,632,339,868,593,656,407,401,058,470,036,956,971,509,456,888,588,250,035,
961,214,544,376,148,219,989,668,377,789,983,529,525,065,042,408,743,665,229,
529,824,032,045,650,371,921,698,995,447,788,149,706,563,918,525,145,156,805,
134,706,706,419,839,827,556,060,317,966,251,990,079,130,915,829,343,370,887,
630,083,472,543,707,371,928,771,552,397,446,376,972,776,877,701,064,113,898,
294,638,471,146,907,434,411,344,132,059,193,626,857,611,850,829,385,973,210,
856,802,416,362,166,894,802,991,914,983,043,330,436,318,640,828,312,640,855,
478,785,051,394,029,140,130,866,250,326,480,044,737,763,165,357,375,155,829,
680,949,131,289,145,587,539,029,794,422,684,211,511,383,666,360,048,257,682,
349,592,891,133,412,173,762,543,333,501,709,426,989,794,114,069,800,167,423,
969,730,446,170,933,532,335,849,063,499,496,108,755,030,076,155,060,038,982,
732,540,022,531,900,512,114,323,989,346,293,452,412,969,634,681,860,286,263,
173,010,782,194,364,701,220,989,820,184,859,143,955,320,082,384,646,290,091,
912,738,094,632,848,275,026,618,105,565,694,035,829,529,922,178,450,577,426,
141,772,093,448,335,237,825,755,790,094,873,776,335,467,045,124,184,654,183,
395,831,405,893,276,881,480,662,997,418,724,344,863,929,198,863,564,101,350,
840,195,951,850,164,540,980,718,226,275,805,441,790,567,034,137,051,663,636,
707,162,766,607,929,931,933,722,538,659,193,309,281,927,252,698,036,891,695,
780,302,831,146,986,217,996,076,578,975,009,447,524,664,585,721,212,088,455,
076,228,243,625,472,731,339,596,122,590,559,776,774,762,305,308,333,376,638,
421,289,425,518,251,278,015,991,262,948,490,036,290,782,207,451,537,347,376,
676,885,056,849,975,347,996,666,781,053,038,642,365,274,233,192,990,526,703,
499,115,460,960,346,524,533,008,398,210,947,103,010,385,654,158,993,383,497,
773,790,387,792,131,078,573,164,317,876,839,138,120,891,599,348,980,732,578,
476,391,280,117,011,223,152,164,292,523,744,845,293,579,751,176,853,338,230,
034,654,813,539,332,514,781,694,504,938,278,431,468,483,764,863,863,282,170,
049,500,097,401,538,512,765,159,502,690,178,186,599,873,336,543,609,739,795,
074,318,884,468,781,265,467,365,960,613,765,780,070,543,809,820,256,141,857,
053,600,911,488,318,599,852,296,266,585,562,151,913,675,280,378,034,669,308,
637,709,892,342,103,960,800,720,395,565,382,915,456,958,872,704,169,612,848,
517,933,596,285,218,683,810,295,482,091,424,058,001,902,242,568,425,461,477,
562,856,463,282,274,892,484,754,220,957,749,298,043,846,567,988,000,834,852,
046,329,383,855,790,249,408,039,236,567,159,096,823,057,146,028,826,240,379,
006,231,552,118,918,148,123,225,259,413,687,550,852,299,180,041,789,692,870,
230,723,875,884,568,254,220,447,008,499,305,879,370,193,676,110,523,752,609,
984,503,458,806,802,109,715,847,306,730,428,510,070,669,006,412,230,281,212,
345,964,967,470,878,713,924,872,373,164,150,102,218,232,204,233,462,572,688,
056,195,404,292,564,832,085,769,333,847,847,348,904,597,460,172,370,390,525,
532,317,457,975,168,901,336,816,896,815,112,241,094,704,880,540,475,867,005,
606,057,460,165,379,592,357,451,621,034,031,128,737,200,931,612,300,061,463,
870,308,573,481,823,636,109,410,406,440,951,509,680,272,237,112,650,733,950,
697,607,562,480,054,372,165,406,635,718,022,740,656,357,402,840,090,262,614,
372,482,298,172,704,042,598,497,391,548,759,001,674,048,900,155,176,013,637,
491,047,533,731,689,451,163,286,850,987,265,272,278,510,783,938,393,785,977,
767,888,633,942,217,941,520,332,692,498,711,697,996,167,104,062,300,194,915,
758,263,668,392,936,479,089,951,405,506,937,132,827,583,959,078,915,653,644,
615,867,442,505,047,130,844,616,301,865,614,348,647,552,552,492,565,106,167,
034,856,395,715,192,107,897,572,966,866,898,312,584,401,294,848,551,696,471,
466,033,043,070,076,562,134,916,976,463,124,122,219,829,809,764,735,539,253,
395,147,606,380,299,215,445,631,527,392,698,102,662,420,462,101,664,054,468,
739,714,688,425,784,840,731,523,092,535,494,565,972,821,749,897,527,467,739,
204,271,279,636,244,435,990,159,014,798,955,360,411,088,651,133,576,611,550,
341,701,128,909,995,731,972,875,355,897,628,597,470,598,529,855,004,965,640,
697,141,990,046,485,820,819,659,600,628,418,814,065,107,639,723,910,844,385,
291,216,130,989,167,649,266,606,149,080,645,549,502,904,149,742,584,613,787,
702,336,912,966,252,078,403,678,958,098,113,897,636,865,708,472,732,355,395,
849,490,979,329,626,324,462,763,635,280,078,003,159,113,555,999,612,484,605,
817,494,409,728,580,268,923,967,865,464,252,796,482,841,103,004,565,924,895,
007,186,097,034,368,862,225,176,774,672,292,229,933,907,089,777,493,803,526,
730,340,279,354,447,617,094,306,917,617,933,668,989,395,669,583,777,077,766,
714,496,470,008,558,569,483,300,684,262,586,606,080,924,887,896,998,839,133,
101,824,210,354,241,710,692,689,628,609,626,040,299,796,106,124,491,242,131,
001,069,414,888,404,444,050,105,456,690,391,324,586,171,797,513,949,276,962,
911,683,969,638,382,641,048,982,857,311,589,071,736,696,821,272,742,216,530,
693,707,438,707,719,434,203,450,003,531,240,316,955,726,115,430,207,253,282,
791,621,976,697,917,296,308,763,175,664,002,780,583,666,782,047,093,679,487,
486,896,931,227,330,189,630,324,545,492,040,869,353,317,052,048,124,340,878,
872,575,453,269,175,151,658,905,403,476,450,331,406,139,725,759,438,480,317,
852,211,777,964,104,026,075,121,838,151,091,817,503,709,844,289,800,173,900,
397,153,662,302,034,951,036,139,444,171,312,498,572,003,288,190,326,294,829,
745,833,631,051,458,568,413,351,409,338,907,066,766,744,862,315,676,964,153,
346,718,540,818,072,208,479,705,366,857,542,592,159,721,178,698,201,110,892,
451,227,863,262,062,315,941,125,876,706,648,015,231,555,173,039,769,383,809,
811,767,253,270,981,562,570,806,189,790,344,247,256,354,727,521,263,319,119,
565,501,113,349,125,188,174,409,074,730,365,293,272,446,160,927,955,342,146,
992,382,723,524,721,951,931,687,984,699,862,777,801,673,175,128,494,685,604,
329,194,997,755,280,601,206,627,606,779,487,862,307,680,469,294,294,357,274,
726,997,343,529,257,596,822,475,226,595,762,060,272,232,196,957,719,314,458,
541,741,696,674,285,622,326,791,784,735,054,784,897,286,705,974,459,291,470,
888,711,399,063,547,494,363,221,878,658,030,223,308,202,890,927,830,594,373,
850,647,589,734,217,103,799,874,612,090,872,026,175,699,207,989,616,062,113,
578,891,482,934,018,481,260,500,889,499,268,987,944,850,503,671,427,984,969,
541,274,176,877,372,698,245,354,662,799,214,255,168,704,411,537,739,025,293,
298,421,280,867,015,374,489,950,324,833,273,749,914,004,330,529,357,070,853,
846,609,678,730,563,169,279,823,194,294,958,012,252,623,725,408,648,785,858,
958,727,688,267,969,328,807,484,807,123,703,632,279,994,294,893,301,063,426,
674,917,602,551,278,164,420,172,400,842,339,859,753,457,147,856,363,532,952,
970,571,176,164,366,842,137,804,530,165,554,144,286,070,417,270,721,685,305,
518,465,589,487,759,859,184,039,953,865,141,827,350,883,667,769,025,480,144,
283,287,422,872,069,806,193,245,478,770,859,286,765,960,531,152,749,330,279,
223,251,732,438,640,959,196,302,948,943,895,084,594,691,777,510,619,775,754,
728,633,366,994,009,861,943,805,386,996,741,459,513,452,324,142,338,409,411,
503,564,958,044,790,148,186,400,060,903,773,435,913,910,193,710,754,494,020,
923,193,239,067,038,482,425,676,376,938,670,994,348,541,106,468,877,555,470,
620,101,549,436,181,201,107,746,230,813,908,519,462,241,685,421,792,875,322,
272,672,405,335,638,626,322,802,954,328,572,625,324,933,969,868,584,551,115,
455,903,812,306,328,707,702,723,016,956,052,552,131,806,102,944,503,600,618,
394,828,947,524,325,928,293,859,406,129,294,168,882,219,225,568,515,244,710,
361,241,074,049,766,745,467,922,199,779,560,129,946,821,416,023,891,762,054,
638,065,943,440,540,413,580,610,853,701,881,498,660,036,489,812,799,974,951,
781,896,061,079,701,480,916,461,822,290,031,313,715,100,933,639,088,724,059,
754,026,739,992,470,748,534,847,231,452,032,537,270,692,289,924,585,714,742,
140,004,744,555,394,572,456,495,882,957,498,529,592,532,500,843,080,513,170,
332,517,689,464,822,671,135,481,035,378,295,839,841,917,267,240,505,674,309,
780,686,012,892,818,954,630,873,807,684,108,239,064,904,927,296,886,448,296,
133,371,924,021,858,030,272,823,469,957,988,842,155,581,882,665,293,329,793,
263,252,553,756,339,636,714,473,454,733,172,193,833,324,067,508,091,245,073,
222,037,867,693,702,055,647,150,427,305,971,319,918,348,956,512,737,110,617,
761,209,096,120,495,370,943,963,781,181,388,245,192,061,162,658,517,150,263,
099,314,001,357,829,742,093,038,138,333,156,600,054,390,789,618,557,571,625,
129,193,486,485,586,521,832,817,980,010,191,039,793,589,798,595,566,360,734,
092,116,027,426,795,650,435,776,103,047,066,560,268,137,062,520,211,213,130,
742,301,735,999,062,621,445,913,079,550,676,415,347,704,707,026,856,823,028,
853,058,024,211,529,607,069,169,764,184,236,090,704,964,923,217,276,171,340,
520,274,181,125,789,239,058,325,350,346,424,860,109,605,157,670,804,365,732,
409,636,042,544,957,629,885,295,106,458,237,996,754,060,388,796,238,647,783,
559,264,639,582,581,277,751,959,629,593,192,303,897,869,583,804,957,395,127,
399,394,123,305,156,836,765,159,555,622,293,852,932,891,476,611,520,248,703,
135,232,759,654,522,352,528,146,891,438,824,122,236,431,230,079,141,747,065,
931,555,399,320,523,154,662,214,725,932,465,322,769,539,659,940,286,022,857,
520,099,063,278,475,527,431,755,504,160,178,584,973,301,751,110,690,149,770,
217,456,944,963,575,631,989,399,681,681,392,908,626,424,064,167,620,565,762,
486,356,112,100,922,454,758,497,527,460,811,895,267,192,830,029,688,792,846,
755,406,737,784,905,549,446,535,722,929,603,805,352,360,958,492,789,177,095,
740,712,617,866,552,328,673,427,094,420,895,206,604,636,004,778,711,117,956,
146,451,646,267,332,767,617,746,386,943,959,139,210,719,274,146,730,873,342,
438,357,707,324,052,728,874,041,653,192,811,084,394,139,651,937,797,927,020,
245,342,488,770,188,857,719,777,039,159,066,804,419,240,980,745,323,181,781,
858,017,721,994,014,241,334,096,504,634,854,021,999,498,399,951,066,074,134,
366,619,581,700,357,823,433,171,068,047,250,843,044,221,920,089,174,555,354,
297,664,742,527,174,360,077,414,132,667,262,687,755,187,054,706,883,985,381,
557,518,654,282,300,026,029,929,415,313,724,641,742,427,390,903,851,705,321,
300,560,294,608,562,067,761,310,433,073,412,379,424,490,888,785,085,071,845,
487,913,738,567,850,409,173,470,153,822,491,173,968,193,733,429,804,265,235,
759,322,825,687,203,107,467,908,488,896,760,388,174,047,596,783,619,394,635,
833,659,130,552,276,675,056,905,436,037,711,050,771,985,187,973,476,963,613,
216,682,148,972,171,539,874,798,905,151,919,698,343,007,018,462,026,796,156,
683,610,576,769,274,510,803,836,856,423,652,577,328,435,916,319,636,534,838,
270,523,147,103,254,765,043,649,770,341,147,069,086,888,465,203,531,543,773,
505,777,801,308,229,074,415,874,291,953,369,765,280,768,783,048,429,389,810,
495,701,322,338,081,668,480,190,855,479,531,646,317,467,378,604,431,479,180,
449,473,042,191,699,578,467,224,508,190,018,892,193,047,227,135,310,530,590,
749,338,360,228,648,722,486,595,415,602,020,384,986,510,074,430,708,048,603,
907,830,813,973,794,915,955,229,015,122,771,539,305,967,788,715,054,982,379,
635,880,043,328,054,509,045,522,488,932,894,001,999,655,234,449,530,603,211,
181,245,476,498,314,540,318,825,624,222,560,185,637,912,110,211,007,887,126,
924,481,188,675,656,808,672,401,351,337,469,455,528,127,925,694,001,733,653,
690,867,922,330,042,458,131,724,068,608,960,901,644,360,970,833,937,617,591,
333,139,329,838,990,369,767,136,111,715,654,711,749,214,624,220,159,621,403,
980,464,674,141,910,346,976,182,042,908,423,442,977,891,502,993,936,498,390,
249,462,453,700,918,799,397,774,351,746,046,160,682,847,675,929,750,129,752,
136,917,806,577,913,922,568,074,998,422,301,946,392,999,876,988,091,670,443,
168,369,715,925,532,212,419,894,440,751,279,554,159,872,611,083,622,020,397,
587,129,159,028,250,555,429,895,989,506,844,194,549,502,321,088,528,596,001,
525,763,843,522,045,094,084,135,327,358,651,114,327,541,925,338,289,383,671,
226,983,602,259,958,631,593,276,602,852,038,523,016,295,474,234,757,002,541,
788,976,074,665,098,642,171,332,944,821,673,884,481,074,599,235,080,296,458,
594,157,454,080,635,586,387,430,308,403,581,899,564,307,014,792,110,113,701,
878,711,990,236,035,846,057,907,364,280,959,944,372,262,354,445,886,578,527,
524,149,746,507,114,282,105,743,160,197,608,048,215,579,027,863,298,268,838,
813,284,178,425,042,869,916,984,620,323,095,113,510,226,188,974,511,641,379,
189,732,042,447,483,767,484,664,875,624,010,521,125,625,295,592,998,187,531,
651,883,417,364,767,195,704,842,337,809,293,456,869,622,992,010,852,273,193,
077,137,703,088,010,874,484,700,138,809,818,807,931,936,403,448,081,330,913,
956,062,912,855,460,842,937,843,206,345,262,361,137,958,495,001,645,446,283,
069,513,618,010,088,276,000,964,068,160,214,109,542,009,581,104,010,239,337,
618,384,680,268,884,420,927,614,137,550,092,666,749,508,888,899,372,556,532,
372,372,542,512,716,443,623,021,356,229,242,110,411,302,691,755,874,249,293,
448,851,628,734,608,348,094,523,503,092,931,306,667,173,998,545,072,161,516,
098,624,014,066,642,440,010,425,057,218,448,229,534,765,634,926,769,713,170,
585,262,534,261,731,729,511,024,304,105,418,421,508,061,555,792,486,556,891,
268,298,285,751,126,770,673,711,408,940,346,546,976,066,124,529,180,621,133,
552,208,876,212,619,875,070,128,955,851,856,693,447,216,852,862,302,477,304,
797,765,283,906,598,067,355,575,510,659,801,742,515,925,691,837,670,742,710,
629,653,009,964,897,439,664,393,771,857,497,739,023,011,997,477,104,488,719,
256,821,658,107,171,348,931,524,499,362,111,679,308,749,138,316,972,302,163,
533,861,193,737,681,068,647,190,074,716,958,021,263,750,277,799,038,595,193,
668,684,693,684,841,758,579,227,740,901,228,683,120,051,182,885,520,499,488,
532,903,407,189,400,197,966,771,151,397,309,360,999,152,606,725,824,893,496,
890,203,258,733,571,836,853,033,312,348,392,535,636,302,239,545,504,977,252,
727,160,298,328,171,723,388,046,775,598,316,804,791,148,759,326,824,007,477,
365,059,545,176,638,384,015,590,636,299,641,816,859,963,627,448,168,415,261,
813,277,403,512,464,016,402,272,568,858,990,406,639,442,143,697,653,838,847,
693,067,336,280,725,530,717,653,279,188,620,811,874,346,898,728,678,554,220,
424,998,786,260,524,104,362,859,893,300,298,527,375,006,053,828,420,911,165,
454,941,189,320,445,696,573,390,466,085,006,426,664,737,687,154,222,096,447,
963,085,745,068,372,438,053,238,294,918,019,071,800,969,076,574,620,746,722,
434,084,704,636,713,359,845,975,106,276,011,696,538,894,047,080,152,898,445,
738,244,882,652,449,227,273,283,413,844,205,246,525,239,991,027,252,286,487,
418,125,283,838,899,934,745,709,497,515,258,536,723,952,406,406,783,821,357,
739,494,809,654,433,394,937,219,020,135,834,553,863,428,018,260,509,839,704,
049,382,141,359,595,606,440,411,283,690,310,971,384,909,579,251,595,677,680,
115,303,141,950,275,649,007,362,581,915,955,480,154,285,948,024,674,166,863,
792,074,151,363,303,378,512,662,371,867,326,970,823,989,064,516,210,619,095,
642,306,172,955,563,812,297,869,931,192,355,175,036,086,063,493,148,596,940,
991,809,513,209,683,800,157,382,306,263,533,924,730,133,766,114,675,113,265,
503,495,268,327,947,377,952,168,168,963,406,340,501,768,788,843,671,923,144,
830,741,046,392,589,195,116,057,811,092,807,595,352,508,171,080,148,708,271,
414,049,815,586,642,524,060,585,222,311,431,635,940,496,300,826,252,148,299,
683,666,123,843,783,800,016,151,249,719,490,599,466,530,431,836,576,637,197,
052,381,006,926,668,081,707,978,808,093,826,749,426,586,801,758,960,513,338,
665,175,390,409,647,514,494,627,434,435,242,341,365,786,430,037,646,906,688,
140,230,633,512,231,810,048,218,964,332,580,147,157,439,783,271,868,399,757,
962,742,643,325,529,178,225,130,251,210,450,699,658,417,992,619,391,945,025,
078,811,480,904,572,157,661,582,123,394,520,876,579,683,420,432,112,011,309,
964,271,179,683,946,895,099,887,996,683,199,229,235,714,710,212,540,710,323,
871,161,785,721,350,742,699,617,346,931,291,794,431,547,880,111,487,018,427,
470,984,140,100,907,973,940,940,787,490,630,834,661,533,456,251,237,790,607,
733,950,067,807,254,718,781,795,516,642,470,919,181,881,417,915,170,471,150,
173,919,857,942,215,780,849,856,350,668,427,525,513,964,253,751,799,569,341,
178,547,495,327,979,877,644,785,586,089,223,555,278,200,111,781,835,104,639,
348,555,529,006,497,275,090,926,974,608,572,604,986,775,530,812,657,187,950,
450,910,236,857,186,653,053,138,219,662,648,532,416,969,890,129,462,340,201,
377,384,920,385,713,644,401,356,299,121,741,230,602,562,875,340,077,017,753,
263,169,854,334,429,966,613,618,235,160,106,087,939,374,905,223,883,640,020,
033,986,310,836,665,421,056,676,035,425,321,501,433,869,638,514,490,315,661,
225,839,110,979,934,615,822,123,775,719,572,232,179,820,128,011,218,327,766,
377,331,723,549,512,384,430,839,955,648,660,536,405,181,118,229,352,683,288,
973,608,033,473,443,731,724,950,679,900,086,458,760,342,162,288,156,213,257,
670,735,314,193,560,926,285,035,528,251,738,471,384,933,493,955,721,237,779,
943,263,868,532,845,499,623,631,921,183,837,602,793,720,894,078,882,849,654,
965,658,054,433,735,135,056,251,985,485,570,238,853,746,170,296,811,065,493,
737,174,835,628,546,660,646,281,681,412,272,279,850,838,886,887,826,150,014,
489,081,124,669,657,732,806,666,691,003,527,990,735,259,705,092,020,311,010,
283,944,564,147,426,619,444,867,161,360,570,743,334,473,667,932,505,563,634,
350,053,966,797,089,954,453,404,419,189,971,084,438,682,413,991,899,057,742,
596,045,152,730,837,164,119,592,902,672,124,230,024,419,875,529,277,580,391,
717,969,142,088,197,268,528,778,706,754,864,981,926,059,607,027,926,157,201,
594,522,648,089,806,370,236,728,998,689,325,525,602,871,849,109,759,005,168,
013,050,508,666,088,971,836,787,778,677,708,918,002,667,591,221,614,155,099,
076,691,807,389,204,454,094,727,192,624,487,791,114,253,528,364,365,864,878,
491,120,278,217,141,027,284,922,411,621,146,045,614,566,445,789,011,110,441,
207,587,103,704,377,047,979,304,087,604,524,052,990,997,216,925,826,760,076,
659,235,813,785,627,566,540,407,974,376,736,520,851,935,287,260,192,225,767,
318,419,161,525,301,844,320,248,718,615,617,855,661,261,525,437,733,082,415,
884,497,274,413,642,300,477,204,217,432,751,444,500,666,095,372,825,761,391,
510,687,923,608,027,870,348,851,402,684,902,458,396,995,281,078,136,641,914,
741,088,124,682,157,125,486,019,584,493,184,475,798,184,427,178,461,223,750,
688,950,924,483,770,067,378,646,068,738,304,113,453,260,477,173,771,002,852,
478,903,576,885,454,065,799,284,262,423,711,580,177,146,846,105,985,763,511,
277,954,036,389,879,779,936,304,724,814,854,170,146,734,312,861,590,251,117,
630,285,597,252,755,739,900,687,231,814,689,878,782,589,265,729,347,373,883,
458,272,770,551,176,096,326,458,674,799,372,568,498,908,680,698,077,656,246,
054,369,345,848,181,238,868,978,062,325,639,603,721,719,597,566,470,974,222,
642,112,882,426,294,037,977,046,443,952,987,434,629,899,049,872,763,772,910,
872,724,725,854,159,544,601,252,977,320,660,580,367,125,422,304,636,727,550,
596,333,186,857,255,131,180,927,067,224,478,217,617,100,008,047,676,064,841,
060,929,337,570,854,252,430,219,863,766,063,358,570,700,448,169,024,567,579,
110,449,217,325,691,721,899,083,018,558,798,325,338,178,960,000,107,166,796,
660,866,282,051,885,984,754,925,340,034,781,175,697,194,243,906,875,070,508,
643,773,973,532,991,898,250,089,185,879,134,515,557,726,581,882,721,217,945,
145,112,228,396,661,536,141,755,007,517,399,419,678,644,171,553,692,081,038,
030,354,406,319,693,375,969,756,187,380,549,854,516,189,430,957,639,246,158,
177,668,175,374,913,051,501,984,333,202,995,183,892,483,258,847,330,976,331,
520,049,873,460,748,602,769,112,750,931,426,595,685,045,090,561,292,204,100,
104,750,641,202,340,036,392,836,676,804,827,051,246,209,599,139,274,496,589,
101,334,008,949,502,027,127,425,132,423,645,318,175,875,776,963,039,644,042,
702,152,143,001,024,091,361,892,661,448,644,316,272,496,242,781,835,062,869,
489,326,369,253,483,603,278,450,185,993,117,060,203,903,186,771,666,221,571,
783,410,228,553,226,459,044,924,447,442,782,276,412,195,373,819,163,910,100,
869,401,448,634,443,334,270,847,806,225,153,903,157,400,579,288,233,450,522,
517,437,095,874,441,822,964,822,364,668,504,663,606,428,452,257,121,528,805,
328,422,233,250,595,572,081,510,463,715,529,499,786,269,226,662,105,762,051,
394,953,070,521,860,791,864,557,439,818,672,590,856,381,517,756,346,587,797,
858,819,200,964,903,705,673,647,677,555,323,287,531,156,553,160,699,136,210,
456,973,903,598,148,833,244,985,541,607,117,361,660,686,144,651,238,001,999,
491,868,139,880,259,056,658,385,218,565,846,964,311,689,472,982,772,613,522,
914,225,041,090,822,116,729,609,939,457,063,311,653,879,814,425,863,325,074,
617,092,111,248,113,748,452,230,641,592,211,128,687,033,425,276,858,976,695,
596,450,565,654,601,393,643,698,254,947,541,236,818,056,779,858,687,914,717,
181,082,599,682,555,338,594,337,781,492,370,818,795,331,699,402,631,878,545,
966,028,118,175,677,975,575,197,982,987,295,566,102,853,604,446,227,277,581,
086,296,203,398,021,430,896,380,133,045,573,175,410,622,794,036,893,950,965,
780,897,572,525,480,426,887,454,717,739,943,980,160,392,502,043,868,962,451,
385,491,397,551,742,681,112,774,705,280,606,585,701,465,838,552,544,231,372,
092,399,189,348,646,684,605,670,621,860,375,119,464,908,264,888,071,138,980,
190,911,111,602,446,582,659,504,009,327,101,985,012,783,228,084,226,548,166,
927,707,815,558,203,135,159,601,525,692,594,031,002,535,578,561,226,957,318,
169,693,369,946,653,734,326,143,964,065,189,367,743,497,003,765,110,910,638,
041,256,528,496,529,782,783,165,577,770,129,644,033,852,608,129,080,600,679,
387,626,534,870,487,987,949,102,423,715,052,718,998,115,904,788,481,432,458,
916,279,948,839,179,893,126,504,206,486,319,298,400,043,870,232,219,763,406,
921,045,023,705,193,944,832,686,137,482,077,662,960,052,169,927,164,255,507,
878,330,710,505,306,024,246,841,234,934,314,655,438,114,653,582,943,774,618,
321,332,181,680,422,063,555,437,959,078,434,488,969,417,040,251,695,731,843,
814,277,530,637,694,420,226,477,616,580,118,468,365,067,785,462,080,867,088,
872,708,740,826,635,656,602,051,565,840,006,273,116,019,153,428,046,894,231,
113,397,669,186,890,204,824,073,055,455,273,505,170,235,647,602,623,938,380,
079,411,545,381,128,349,759,460,553,003,453,221,964,146,463,069,022,031,353,
720,141,936,337,683,451,696,395,960,502,953,471,669,261,690,296,207,929,544,
691,908,834,730,154,504,338,156,319,924,005,690,384,696,277,449,097,400,030,
281,330,971,972,190,015,164,667,870,120,306,459,865,265,311,014,883,272,381,
515,690,669,918,520,635,227,692,471,596,321,873,332,985,374,660,198,848,347,
959,403,347,509,202,029,990,712,143,661,533,023,188,415,031,450,003,295,130,
434,384,791,463,852,022,886,969,048,431,772,098,227,533,695,355,321,631,607,
160,985,698,104,170,890,678,739,296,676,164,708,075,989,938,332,979,477,870,
877,738,330,474,978,458,931,183,559,543,442,858,919,416,900,591,617,142,174,
583,175,529,337,576,496,093,294,258,167,447,510,028,874,396,964,373,724,810,
741,074,956,877,691,323,833,240,545,761,760,669,396,040,112,249,740,124,354,
450,384,616,903,962,038,403,716,101,597,241,587,201,541,840,138,288,292,815,
250,257,928,147,345,845,519,689,617,075,599,981,062,787,581,163,669,545,619,
566,504,556,005,726,715,935,206,153,862,776,360,587,300,878,066,843,899,814,
879,190,719,130,406,014,090,503,796,070,249,351,032,661,828,376,448,168,111,
120,435,730,795,105,965,532,375,462,323,777,004,893,953,423,627,008,173,678,
443,509,430,901,530,032,648,353,877,384,483,119,901,759,532,568,996,812,919,
567,221,121,289,744,720,687,865,471,284,709,872,869,703,515,953,290,312,763,
302,535,460,917,347,128,288,611,911,869,849,318,670,711,974,630,952,917,639,
346,047,982,200,972,880,269,722,505,254,155,281,200,909,592,307,910,207,236,
647,333,637,312,055,365,665,393,717,210,302,290,516,431,719,220,400,160,235,
091,648,995,169,448,609,318,298,436,635,918,809,200,037,606,088,814,004,027,
192,742,764,332,044,060,517,205,655,948,907,653,228,250,545,560,870,657,477,
326,197,102,416,931,180,711,102,522,707,362,843,115,412,835,889,342,799,678,
777,614,889,364,067,030,620,372,895,929,643,430,955,324,663,731,828,066,096,
161,819,446,104,573,242,823,166,489,860,074,982,783,346,825,589,690,954,985,
139,732,737,842,000,886,117,132,214,744,608,902,680,663,395,726,598,045,648,
975,361,758,294,779,149,999,112,024,321,351,642,061,218,649,523,412,572,816,
515,667,930,090,630,472,949,264,425,166,404,919,950,290,991,347,928,244,051,
580,862,706,536,636,964,214,276,658,917,163,332,077,399,455,413,877,116,024,
050,404,886,131,332,521,136,366,967,978,626,201,468,458,678,118,006,656,359,
357,408,290,398,793,019,835,427,573,707,704,495,787,398,630,075,951,832,896,
659,217,424,234,052,914,166,672,993,309,599,433,918,053,910,242,517,152,146,
698,278,541,646,072,130,198,662,497,738,125,632,193,312,263,073,217,044,358,
860,822,804,355,586,009,978,711,207,583,130,495,483,296,686,971,796,328,109,
641,260,746,537,213,356,906,436,983,581,679,216,361,218,473,512,422,050,553,
001,364,094,407,220,089,042,916,593,504,522,572,149,799,958,673,251,602,228,
677,454,421,536,156,252,803,015,900,513,114,432,505,009,404,814,580,224,116,
473,584,863,102,423,638,079,086,579,643,637,477,457,320,581,788,902,874,456,
462,530,239,034,597,571,871,648,984,663,445,482,116,633,875,284,248,044,921,
605,055,829,277,624,630,851,155,259,326,834,806,394,519,080,646,718,881,223,
744,956,276,348,691,579,906,599,219,721,120,572,007,091,457,211,591,320,005,
557,504,094,642,817,862,810,739,860,378,775,148,650,972,832,144,422,338,697,
218,321,139,912,400,902,935,935,583,052,581,496,772,439,525,979,540,475,323,
910,172,235,838,840,758,451,325,899,418,921,926,035,122,393,579,013,362,896,
357,734,318,910,896,191,155,928,434,544,401,838,725,852,749,340,237,322,685,
898,065,912,577,767,491,322,470,272,848,277,141,720,411,030,101,972,092,803,
700,783,779,484,115,592,479,653,045,287,325,719,608,839,288,057,911,314,510,
906,669,019,689,351,415,165,204,767,956,220,063,900,243,809,139,823,119,388,
440,560,648,951,039,386,439,873,393,305,511,686,944,732,702,945,414,163,739,
279,974,406,539,732,152,926,431,577,526,556,221,975,234,307,853,608,613,204,
782,555,899,841,495,740,190,409,803,569,182,908,777,732,428,800,532,209,163,
418,391,106,342,054,322,449,937,163,113,922,626,438,467,490,921,639,934,319,
488,696,428,420,033,943,412,708,919,180,621,859,505,585,021,207,568,057,571,
471,951,897,576,088,659,893,895,963,365,704,724,500,778,634,876,132,751,875,
030,694,026,546,423,711,850,825,179,960,351,303,983,627,986,071,918,771,698,
451,033,857,306,158,739,563,078,357,057,390,162,153,171,657,729,129,057,022,
237,719,041,479,987,180,556,128,598,780,115,880,986,211,928,842,351,116,221,
836,202,618,644,180,514,506,319,288,731,169,045,410,186,858,469,697,373,499,
095,329,780,329,693,009,476,122,847,505,880,174,041,260,712,076,261,434,134,
028,275,558,549,653,206,130,609,849,568,599,399,795,946,648,392,097,202,766,
470,152,365,944,920,476,558,272,014,009,984,512,314,187,932,694,314,728,038,
896,071,420,157,442,394,368,928,050,335,427,500,530,991,025,436,762,460,344,
497,638,949,069,963,728,677,733,694,232,137,959,995,774,347,821,852,095,038,
083,153,447,168,681,539,075,151,701,455,202,744,793,608,221,244,093,619,852,
516,015,346,705,606,955,184,783,585,767,206,190,144,544,601,150,720,202,938,
957,093,932,707,391,506,773,500,105,471,539,659,794,369,177,335,258,989,904,
712,425,856,289,290,205,485,998,042,861,276,896,130,729,150,009,048,626,384,
197,871,792,650,271,076,866,407,079,454,196,419,520,425,005,310,794,090,118,
286,759,093,378,435,211,423,862,457,946,945,426,731,246,590,389,686,755,978,
378,937,336,232,793,450,129,112,064,102,002,184,400,306,316,212,840,100,716,
328,745,652,922,662,185,772,803,989,017,261,378,352,194,742,545,524,761,749,
323,813,406,550,472,324,636,768,619,523,570,609,382,646,815,744,714,564,362,
658,643,983,498,292,221,576,211,291,988,890,219,569,952,312,474,782,072,027,
789,513,696,682,068,422,155,304,366,264,733,330,440,344,944,440,747,624,251,
719,161,662,650,293,518,086,190,800,287,182,871,265,424,204,064,489,191,991,
217,281,047,962,588,477,852,842,280,121,214,854,938,906,925,865,440,091,128,
600,765,208,188,311,930,807,710,589,161,515,376,223,520,857,276,483,001,748,
492,731,557,939,472,268,780,716,676,702,924,551,188,982,147,483,132,087,187,
126,665,606,843,394,839,483,809,814,946,687,473,834,527,047,429,867,824,339,
547,437,521,684,237,193,791,819,194,962,401,979,527,130,516,433,091,516,459,
783,954,799,137,818,279,013,754,785,666,854,501,568,680,214,132,015,460,359,
718,027,931,656,470,116,865,282,565,645,851,841,726,067,407,519,955,131,413,
225,643,267,317,223,184,329,986,671,014,895,519,091,986,236,255,280,091,396,
187,627,019,724,493,596,902,706,099,127,565,887,758,284,207,198,749,094,615,
789,374,455,170,057,002,185,047,235,117,576,597,366,452,261,104,349,954,406,
921,320,418,009,921,101,815,602,677,715,582,464,157,443,339,688,009,259,336,
207,996,131,186,530,748,048,591,799,762,648,133,922,525,596,432,022,932,310,
222,278,818,113,323,202,888,509,020,917,161,175,950,689,512,177,044,558,615,
945,835,339,100,527,712,450,324,642,098,756,974,060,224,101,976,630,569,422,
456,946,981,246,455,900,116,222,724,349,402,223,609,276,859,261,754,495,280,
784,218,765,728,678,526,579,605,419,828,835,485,220,980,176,640,885,534,557,
533,153,360,348,809,069,558,878,228,057,134,301,815,922,710,851,133,573,033,
639,769,402,378,364,277,202,768,088,596,839,858,493,426,561,544,364,435,330,
282,090,406,812,259,756,250,646,441,520,258,005,814,790,416,059,044,571,078,
656,374,765,168,182,062,490,158,763,216,293,193,504,456,133,608,002,234,451,
734,107,541,023,402,664,668,364,440,719,777,434,549,567,274,433,186,137,543,
691,517,928,877,871,488,033,384,192,850,093,377,053,654,874,096,574,456,452,
541,522,541,966,533,609,575,849,163,269,136,476,836,738,113,429,306,192,096,
875,702,895,362,208,775,319,433,230,036,764,993,724,144,675,251,609,579,349,
513,971,437,205,414,170,200,539,218,136,323,483,360,204,774,969,036,871,113,
840,092,050,555,678,026,380,608,458,230,654,633,266,477,860,447,366,930,921,
188,970,952,581,178,652,443,780,604,218,741,830,643,399,101,917,077,230,926,
858,224,915,389,570,074,495,552,391,904,702,410,566,620,226,831,387,646,964,
074,915,537,075,457,274,607,713,605,210,556,570,125,707,317,185,684,065,980,
651,788,654,130,056,018,059,089,198,632,082,352,312,198,660,405,302,404,900,
088,444,941,235,272,805,719,831,873,079,934,914,302,314,039,003,101,204,815,
923,573,761,730,013,049,990,110,718,433,280,447,886,596,765,003,405,672,611,
979,865,918,134,849,818,274,837,041,553,753,748,898,811,305,390,329,225,110,
053,740,969,789,297,314,385,504,807,732,743,197,250,552,805,267,248,710,324,
639,359,661,983,312,265,103,604,926,254,207,061,841,207,646,155,866,850,454,
971,356,470,934,703,925,555,633,350,895,557,822,411,203,228,209,628,875,102,
662,953,836,512,622,029,714,304,842,806,117,027,548,935,178,559,662,871,032,
856,043,940,637,041,490,426,386,705,070,852,715,251,111,406,057,183,244,972,
325,046,867,024,737,179,997,729,657,986,022,974,830,481,415,488,496,240,649,
463,605,320,972,930,303,107,288,673,979,489,046,710,210,562,519,577,982,963,
866,003,650,752,056,024,205,805,185,262,161,456,823,788,663,253,383,794,940,
109,108,930,462,869,126,747,671,522,093,639,580,253,519,796,803,270,365,066,
546,869,313,882,497,680,661,213,799,447,036,500,050,396,247,645,300,436,867,
547,993,405,737,185,759,660,360,039,067,412,096,205,661,459,217,449,270,371,
220,807,268,119,621,889,018,101,133,568,616,500,015,033,875,464,526,755,749,
313,898,229,982,521,732,179,568,335,247,002,450,466,186,328,385,453,436,290,
561,854,233,334,672,922,121,636,768,503,500,322,878,051,133,271,531,982,847,
925,603,690,948,500,121,927,698,027,219,746,904,334,538,334,138,803,190,510,
729,191,814,934,629,441,018,730,078,909,942,496,524,023,165,829,067,914,037,
667,701,208,545,014,391,986,802,521,189,613,096,553,027,015,260,673,320,420,
755,092,134,088,220,703,533,343,230,258,223,255,474,523,135,167,186,419,749,
449,307,612,751,710,371,100,109,350,914,740,716,990,678,514,711,496,546,457,
410,113,547,118,708,302,633,797,654,053,955,377,098,085,177,699,607,121,750,
287,990,749,532,731,886,880,782,721,716,288,604,609,293,474,423,942,204,141,
997,189,788,129,119,469,196,389,415,664,778,830,992,728,057,321,365,358,332,
090,396,669,679,868,929,588,367,819,117,399,669,581,163,467,812,048,468,060,
955,922,155,765,535,673,999,529,377,184,859,300,131,299,364,247,715,670,300,
919,363,691,715,831,516,629,244,856,405,018,499,579,518,928,987,807,224,081,
266,197,616,401,559,458,009,559,768,748,139,309,385,358,405,958,810,298,874,
963,529,732,405,101,015,758,649,747,326,341,897,136,250,776,716,942,007,349,
513,740,027,936,067,750,492,209,248,248,711,661,128,749,517,815,559,338,690,
228,073,862,532,815,398,917,467,353,883,010,674,953,022,366,990,284,236,179,
125,221,321,414,185,323,954,475,108,166,963,248,661,079,006,948,688,042,151,
640,436,425,067,402,570,871,152,563,757,310,868,159,323,664,299,229,873,935,
246,497,578,066,514,695,768,483,098,937,111,642,936,856,114,227,257,517,106,
221,945,953,567,360,391,079,443,131,306,548,870,784,198,554,810,247,787,255,
399,036,803,103,503,840,889,185,439,391,488,964,718,176,267,575,080,839,458,
735,537,288,694,599,616,287,923,183,380,803,708,416,945,101,247,432,198,175,
531,588,557,857,421,389,907,628,025,225,262,022,895,449,335,598,291,069,142,
814,245,089,474,816,892,859,032,424,012,001,039,797,002,418,812,339,862,942,
088,708,487,076,853,207,947,089,393,273,878,397,538,445,390,958,774,109,406,
608,791,632,167,483,959,687,684,734,989,004,543,603,607,498,795,215,664,868,
134,061,766,623,795,244,413,667,306,251,441,336,550,697,291,705,826,919,299,
566,446,581,402,229,706,239,793,818,560,615,896,200,162,582,709,868,565,597,
690,695,538,511,125,074,223,723,073,261,172,694,552,463,435,773,023,815,983,
463,349,128,864,916,216,921,241,335,829,289,662,362,574,357,181,752,903,405,
296,128,909,072,934,203,796,361,400,414,497,910,923,929,848,783,130,355,924,
576,759,734,399,859,060,094,980,461,217,228,446,693,243,512,378,755,986,539,
285,349,016,831,521,561,063,330,026,173,880,406,398,557,752,752,020,641,638,
322,962,621,280,713,886,144,188,228,527,944,885,858,692,546,135,791,252,418,
827,119,698,323,070,094,739,789,753,596,993,297,438,614,486,940,412,706,311,
819,797,325,191,043,499,028,584,115,161,671,689,339,118,566,438,571,316,957,
640,387,620,211,024,670,988,423,543,893,415,151,145,059,411,079,839,507,052,
316,082,615,885,615,951,598,445,340,936,851,034,704,134,944,376,336,634,957,
514,106,366,478,767,238,583,663,944,728,187,800,674,364,177,289,170,861,506,
892,535,178,173,387,977,316,424,728,147,813,249,743,757,844,729,198,490,487,
751,963,660,953,441,223,797,788,370,532,955,962,997,123,762,889,256,372,204,
415,098,720,383,569,804,627,917,866,223,074,496,102,210,757,638,513,712,698,
800,614,087,031,293,450,644,963,293,775,014,548,524,335,647,065,774,747,139,
118,653,657,198,265,671,038,954,687,208,157,552,692,354,460,725,772,782,205,
952,962,217,887,311,553,756,723,814,709,485,026,966,548,886,854,438,972,985,
699,833,947,122,401,961,452,421,158,166,843,602,673,681,959,931,642,232,664,
541,721,686,630,299,803,397,931,587,080,949,948,622,596,684,352,289,615,294,
480,669,350,152,867,608,582,330,053,125,927,518,816,143,706,882,684,819,202,
358,284,163,202,999,700,784,285,872,303,554,586,594,463,073,424,803,674,054,
831,603,613,855,630,816,375,160,745,250,925,761,562,660,687,075,261,049,194,
278,664,202,364,743,853,001,991,355,342,857,243,539,306,517,508,474,775,324,
906,905,873,556,992,196,151,785,220,644,277,538,403,555,060,955,202,507,954,
146,721,598,742,563,212,825,814,263,569,685,498,922,391,397,559,043,678,008,
874,636,115,438,843,409,386,180,786,381,627,595,532,220,455,609,778,350,748,
726,948,186,897,149,431,238,837,444,247,647,871,740,787,617,214,735,966,609,
671,793,399,937,279,214,432,048,267,175,053,963,184,419,364,309,038,126,041,
228,973,047,029,032,544,798,949,967,277,879,101,749,820,381,596,539,748,887,
754,399,854,285,158,572,621,792,142,756,490,642,983,330,553,299,337,284,448,
400,283,620,884,314,655,083,000,594,733,150,060,478,577,779,862,922,518,171,
383,891,230,197,936,175,224,279,384,768,449,075,071,661,136,456,208,749,672,
919,693,126,004,872,599,635,531,366,268,347,506,111,186,839,728,775,802,515,
795,104,674,611,983,349,354,407,411,254,196,377,448,889,273,649,149,991,017,
459,753,129,037,846,872,553,647,626,585,564,690,116,476,123,155,892,309,560,
307,329,724,416,417,307,210,700,087,857,545,631,234,747,927,552,328,505,823,
200,811,110,976,097,744,755,860,375,523,038,775,651,497,796,791,547,632,919,
015,985,159,174,517,145,604,400,696,733,051,653,333,183,609,532,536,591,447,
421,457,145,222,705,333,791,177,670,048,258,871,242,400,461,219,505,596,134,
357,369,190,607,340,229,490,370,795,066,073,360,975,543,222,341,432,817,627,
725,006,379,634,713,981,401,310,356,803,243,617,127,863,912,033,680,783,521,
510,845,202,770,157,081,899,956,394,841,151,845,714,705,606,115,318,234,189,
352,330,403,410,652,972,829,012,089,822,807,701,024,589,628,214,596,729,943,
502,935,666,333,047,631,022,751,499,211,758,485,227,219,155,935,109,300,808,
341,565,895,534,188,550,850,144,359,855,325,815,241,265,576,420,829,870,547,
169,149,242,922,793,704,934,861,227,037,534,296,876,644,460,744,860,992,285,
345,720,953,211,185,598,969,172,138,369,470,995,069,904,620,359,889,841,661,
311,790,144,914,193,844,253,618,031,117,311,178,781,936,371,534,514,558,106,
957,815,695,378,144,216,523,975,904,578,719,302,709,780,406,174,100,330,354,
827,209,577,646,603,332,589,267,063,611,669,611,711,635,714,807,830,326,109,
914,149,516,023,512,474,912,792,568,403,606,845,099,086,671,476,576,907,059,
965,723,263,027,700,566,331,937,923,876,032,243,294,962,967,048,349,931,148,
221,950,210,906,729,676,440,056,550,471,378,359,799,915,751,575,956,898,926,
911,989,145,862,946,330,214,156,302,416,359,367,392,858,396,084,960,728,956,
247,260,244,832,611,050,467,848,302,828,333,124,233,852,803,309,075,596,161,
019,736,806,704,463,048,898,341,205,569,475,798,611,913,643,825,835,372,820,
422,042,304,543,068,084,236,570,883,524,961,321,014,848,704,649,640,080,410,
458,847,667,897,587,359,633,694,280,525,122,625,266,226,893,667,799,480,732,
490,897,832,389,179,427,537,398,641,421,622,775,700,892,575,120,011,124,031,
592,136,111,585,505,366,417,519,019,343,678,414,305,911,605,613,615,299,742,
967,439,895,989,680,660,671,878,958,444,741,652,036,607,609,352,398,234,641,
458,341,428,478,677,345,908,519,489,990,771,303,177,024,896,832,098,711,419,
264,404,269,332,662,638,277,460,717,337,889,708,652,215,209,646,519,824,284,
350,931,204,448,033,675,810,824,290,278,684,553,364,599,324,799,181,619,940,
430,878,604,587,210,635,349,075,068,122,811,604,464,658,939,680,748,357,814,
673,578,706,071,755,035,013,361,572,219,278,382,641,146,924,949,509,742,205,
527,020,321,940,408,476,323,298,923,789,965,686,298,982,491,182,906,723,091,
321,611,527,762,738,396,400,760,927,200,826,882,303,123,901,724,163,067,628,
454,409,154,137,110,276,909,822,383,959,650,945,136,173,845,995,989,209,338,
165,176,617,499,879,680,213,640,711,785,396,284,450,676,203,840,686,372,731,
798,028,081,074,314,478,121,382,383,042,668,081,066,176,960,938,621,094,890,
070,127,585,705,569,584,890,600,729,522,839,427,535,984,694,345,166,710,295,
029,734,008,126,981,218,769,988,200,965,731,618,596,787,843,478,622,852,652,
557,936,290,434,565,399,036,876,763,024,460,843,036,190,794,135,011,005,830,
784,028,490,483,078,242,858,042,739,514,685,951,076,785,154,939,493,342,702,
438,492,348,680,916,788,801,766,536,404,541,516,973,350,613,913,259,154,736,
263,935,058,929,771,799,841,584,581,869,083,674,989,293,706,215,127,282,991,
817,107,292,073,566,332,964,606,114,990,373,657,337,282,560,740,101,593,915,
790,169,599,459,977,171,835,183,622,448,225,136,691,865,859,923,960,404,874,
658,979,463,716,473,954,941,341,725,351,779,089,870,991,392,059,923,162,279,
923,003,297,309,065,371,136,026,950,217,219,978,518,132,963,239,321,559,428,
673,279,902,138,833,756,160,301,453,053,282,886,503,869,782,292,472,757,184,
237,812,181,902,158,641,361,209,249,890,548,273,967,495,158,219,269,429,402,
054,324,048,316,475,172,490,187,267,234,046,586,739,333,441,118,270,398,619,
867,448,940,865,298,318,766,617,787,521,152,540,600,049,296,165,693,682,777,
140,265,145,843,614,345,875,868,666,127,296,319,308,777,689,303,574,698,890,
759,851,957,916,725,686,443,355,869,853,366,092,289,213,301,563,285,607,504,
215,501,444,818,624,384,121,786,962,358,459,876,762,244,180,908,359,796,520,
120,384,132,093,253,040,249,462,956,309,686,251,860,301,369,014,214,744,709,
497,029,895,533,339,312,838,179,863,689,843,207,957,844,011,530,550,969,560,
042,498,248,091,442,725,230,087,858,951,750,486,072,940,244,518,104,994,461,
353,413,504,122,242,271,962,639,253,345,603,033,604,118,920,696,327,418,572,
894,163,236,744,473,533,498,529,430,228,536,941,897,745,922,800,604,921,586,
389,552,706,963,121,843,633,498,451,727,916,750,739,064,018,257,694,284,747,
119,583,891,451,383,321,297,962,239,728,568,995,482,764,748,796,346,013,159,
564,162,916,511,140,220,522,669,723,242,824,237,861,472,030,747,943,949,470,
174,656,901,413,313,106,352,834,760,226,113,938,255,657,682,836,509,270,286,
935,472,562,776,081,525,390,442,328,000,832,278,858,788,464,367,621,904,190,
518,720,618,117,444,020,256,379,698,221,520,201,056,601,945,469,194,986,258,
528,163,747,148,253,596,502,236,793,871,713,278,563,469,021,495,192,258,543,
385,704,755,808,766,439,053,122,297,750,705,756,805,206,543,286,944,868,947,
732,912,196,343,228,815,327,190,126,422,102,437,873,123,438,752,880,821,969,
652,765,228,626,433,549,467,084,161,461,792,354,162,804,727,690,768,171,000,
924,619,386,249,376,654,605,686,347,839,282,734,912,493,904,175,273,965,359,
578,819,219,206,820,719,179,034,745,847,943,956,437,982,028,031,778,246,912,
728,617,920,721,312,763,089,453,204,678,034,667,993,348,578,579,573,526,873,
188,725,758,257,465,570,229,139,856,109,410,650,096,373,238,330,857,231,671,
232,865,913,318,981,974,942,629,399,645,851,105,948,627,365,420,674,389,706,
239,794,892,249,209,865,036,945,512,150,635,685,602,760,920,876,858,011,425,
855,913,224,115,053,098,762,489,577,459,024,973,299,804,996,518,971,767,228,
269,050,374,522,099,908,898,199,149,414,744,346,988,724,269,541,443,644,792,
618,800,774,511,230,967,818,828,712,984,381,703,831,113,695,051,311,405,564,
521,407,944,353,657,967,021,248,561,644,423,303,232,902,095,268,881,465,850,
340,772,150,595,977,338,211,589,677,760,589,871,349,418,475,267,136,139,322,
827,908,245,415,546,038,224,496,290,438,436,026,175,156,684,823,203,856,425,
021,853,760,150,178,138,421,934,994,366,722,972,781,347,334,823,699,301,086,
603,218,310,791,641,529,179,750,145,239,567,262,380,296,063,117,062,894,848,
213,174,787,973,602,439,312,092,643,410,219,869,929,654,079,765,895,541,901,
673,962,519,887,234,284,186,670,419,027,258,610,597,736,553,261,556,010,671,
028,014,770,504,634,982,656,757,920,098,594,811,388,192,630,782,394,670,061,
687,140,580,872,428,374,087,932,781,254,543,201,841,392,087,297,932,293,653,
678,204,535,083,045,206,297,226,102,685,248,027,833,474,754,675,767,496,720,
198,395,120,058,090,426,620,606,461,499,862,065,412,548,811,534,921,370,971,
835,437,273,457,066,219,880,263,947,555,610,109,079,304,594,782,573,781,930,
584,305,483,384,780,592,493,177,040,843,354,870,208,370,803,509,142,099,974,
039,514,382,483,680,639,585,231,647,749,401,068,344,479,903,473,373,702,838,
895,317,294,792,306,916,046,424,418,976,192,473,553,962,045,840,512,028,456,
026,113,932,764,019,927,455,151,407,885,084,313,231,128,011,746,779,444,143,
144,075,521,242,059,132,791,421,836,180,504,884,519,269,782,998,976,840,089,
004,988,724,629,355,348,678,182,487,890,280,208,536,326,350,391,021,724,927,
734,797,453,788,984,304,308,629,056,016,124,178,884,367,333,771,089,727,057,
328,261,793,496,148,004,072,372,615,358,923,414,406,060,622,718,145,247,067,
210,530,465,670,297,863,806,158,006,783,791,555,696,107,116,998,235,072,052,
029,386,517,819,195,014,991,150,944,446,899,973,563,565,344,954,786,154,562,
843,644,528,310,212,619,871,981,425,806,944,652,937,439,708,931,529,213,675,
956,378,450,403,053,684,993,136,591,343,403,775,192,960,428,926,409,991,677,
579,198,762,182,457,285,172,080,697,701,654,676,965,148,256,276,375,517,979,
701,748,260,688,206,554,382,560,240,252,660,600,664,805,544,126,862,216,068,
308,578,003,993,297,408,674,913,386,000,836,850,642,839,450,359,910,934,581,
848,406,994,427,378,394,115,115,328,729,249,371,704,344,952,630,500,383,751,
087,498,075,888,183,804,177,252,241,981,113,351,575,703,577,062,322,509,437,
799,455,760,328,226,423,759,025,173,815,302,677,734,521,688,434,157,471,983,
142,391,295,106,446,970,435,250,282,476,946,163,644,905,910,223,735,401,710,
954,026,406,511,399,155,157,933,225,787,242,560,152,905,974,418,969,777,140,
342,109,588,443,823,259,380,451,102,049,629,423,772,118,607,252,536,024,713,
377,076,910,179,387,352,201,179,579,813,167,105,744,436,228,233,802,906,500,
898,702,473,917,727,659,595,081,785,836,079,508,830,671,813,399,237,076,624,
290,412,412,651,439,497,804,141,480,207,348,903,645,828,706,281,274,458,890,
515,888,698,371,551,724,582,935,770,450,909,569,087,184,819,821,051,482,940,
695,797,556,351,569,409,176,568,582,566,218,461,394,497,757,456,552,322,983,
522,647,161,739,704,232,919,132,888,096,921,324,324,121,320,955,629,018,208,
415,493,449,308,336,322,644,697,385,379,875,189,108,410,890,697,887,698,254,
260,393,985,174,395,474,470,923,171,669,277,079,178,308,356,488,074,620,685,
326,131,967,525,400,275,667,674,091,187,508,815,877,776,062,954,290,968,988,
001,618,977,205,402,877,652,411,178,880,289,720,328,649,754,516,321,962,973,
320,333,286,278,152,651,572,175,957,287,569,062,266,049,787,523,044,223,019,
558,702,489,319,365,010,309,637,745,781,267,857,861,291,157,105,323,987,360,
492,943,390,942,014,032,826,627,951,645,977,576,189,270,374,935,773,949,788,
314,333,668,163,774,916,273,328,410,336,430,671,579,970,022,631,527,179,600,
862,336,323,120,171,314,869,305,638,556,001,022,689,764,593,060,677,951,619,
243,936,888,256,686,403,232,532,534,939,947,277,682,811,836,115,085,034,591,
321,711,934,138,563,329,078,318,149,552,123,620,537,672,067,457,031,860,717,
297,827,015,965,170,240,453,245,513,285,553,275,603,718,881,262,905,031,598,
152,987,602,514,220,364,899,922,665,954,317,186,557,806,795,379,657,342,189,
710,692,118,546,682,735,391,877,932,308,099,098,498,449,953,277,885,233,479,
135,290,730,066,957,339,893,607,279,693,221,836,979,904,966,616,979,823,105,
247,876,606,544,778,971,716,713,836,294,134,928,079,549,179,455,623,101,683,
875,750,444,833,253,049,414,675,712,966,854,742,349,686,350,596,997,312,161,
669,540,842,619,878,006,856,710,458,923,926,631,055,296,402,894,725,551,215,
111,935,528,162,876,065,623,208,188,576,269,124,054,171,495,680,868,731,620,
186,786,506,028,722,445,040,186,037,856,906,727,253,192,322,030,303,931,038,
170,202,968,909,079,949,712,616,168,221,716,358,185,719,249,418,886,971,449,
409,551,969,318,671,979,557,471,643,496,026,019,365,775,816,024,805,338,766,
121,449,521,836,635,015,289,027,372,328,232,404,543,578,500,525,599,352,827,
845,506,997,216,035,277,848,937,054,955,923,201,742,085,884,222,331,935,291,
341,932,650,805,752,535,427,711,484,365,015,849,160,977,036,445,478,122,692,
618,694,682,773,924,611,674,911,937,971,454,043,089,687,434,466,482,394,956,
852,404,422,879,805,255,895,835,550,556,153,588,184,208,248,540,525,822,880,
402,430,306,484,926,842,857,186,071,199,055,428,037,181,933,661,953,256,779,
675,742,008,202,002,872,455,344,236,109,879,112,536,104,629,173,671,533,103,
853,628,552,941,715,784,065,446,883,604,217,702,766,915,773,391,046,907,370,
365,111,298,854,105,601,046,547,990,294,565,096,915,888,663,124,427,468,207,
554,179,475,325,241,530,611,150,383,431,582,065,649,922,974,168,979,025,838,
287,970,953,908,295,802,629,741,377,596,855,958,086,411,884,030,040,259,805,
379,250,367,565,591,779,174,779,909,836,804,043,752,359,312,023,514,197,921,
924,753,468,757,482,050,792,739,894,975,680,545,269,434,056,246,985,511,423,
524,670,651,957,929,017,810,451,858,672,815,859,363,253,264,075,777,494,155,
702,914,591,048,420,728,305,670,385,321,353,059,182,975,359,589,702,110,217,
002,898,456,222,996,695,869,001,125,233,284,226,452,996,504,690,006,123,362,
424,373,143,239,883,047,262,534,147,360,454,675,830,129,962,358,245,301,310,
569,598,746,792,955,002,874,238,136,274,298,478,928,172,813,794,129,301,075,
272,019,299,646,719,089,390,707,461,060,018,555,896,971,002,644,453,359,704,
819,975,845,810,780,121,658,289,229,688,383,142,917,620,830,544,034,061,343,
488,314,378,955,786,628,270,748,516,110,806,811,017,025,697,133,759,101,467,
894,967,235,153,755,513,256,711,403,028,724,788,313,299,197,824,108,927,045,
329,398,785,836,092,452,110,696,457,721,848,619,987,050,508,528,857,112,400,
850,908,791,965,380,501,249,963,781,107,793,316,742,529,898,359,195,005,896,
428,489,220,987,224,124,425,798,158,665,065,497,961,262,838,124,301,478,563,
188,961,018,089,817,524,181,670,021,797,435,676,507,759,235,763,646,568,228,
369,750,581,562,902,428,943,189,740,935,266,569,667,971,665,997,531,471,098,
398,606,167,669,751,009,238,010,315,356,716,896,878,484,721,633,474,028,043,
798,280,897,309,130,057,846,509,976,168,912,631,761,581,461,001,649,581,756,
243,585,441,212,939,634,387,976,230,953,574,504,865,495,740,439,364,752,500,
766,766,171,692,157,317,957,367,048,711,208,431,483,481,088,382,788,150,092,
908,820,630,493,490,385,014,674,744,786,562,565,345,011,844,683,799,882,292,
604,590,032,400,882,804,768,767,047,589,070,386,815,572,987,531,996,408,358,
589,547,292,935,272,415,743,368,720,659,183,377,546,111,878,970,130,926,862,
858,050,903,272,553,084,775,620,447,468,463,473,018,503,275,915,471,715,639,
422,488,431,905,391,052,737,857,310,615,024,316,080,368,201,607,310,105,229,
936,036,355,355,291,680,027,055,170,378,454,482,176,675,689,373,794,096,198,
285,727,829,499,444,551,227,024,309,824,973,174,731,374,427,988,556,872,758,
561,409,754,665,863,758,766,049,652,222,433,057,664,676,846,376,415,658,640,
239,945,103,724,633,133,431,651,483,133,516,127,671,006,091,739,158,040,291,
414,665,139,625,618,979,333,632,390,691,192,772,671,618,623,899,007,022,228,
503,803,574,884,864,660,475,236,746,588,040,568,753,969,556,306,384,219,176,
220,440,578,368,877,187,566,041,479,613,025,739,063,887,031,168,786,091,759,
135,390,588,703,932,241,545,440,064,003,031,862,162,851,302,416,045,693,744,
115,504,230,316,963,977,989,419,919,894,573,493,301,698,026,594,776,579,773,
488,262,389,907,871,869,288,746,704,324,344,026,206,790,737,290,543,449,169,
836,246,826,051,160,099,398,336,542,991,789,279,584,022,139,004,597,610,847,
631,693,029,457,494,685,529,541,684,072,686,236,190,325,067,927,886,105,098,
056,407,964,000,865,002,746,942,231,945,889,943,869,946,710,730,128,451,871,
668,358,046,747,079,994,425,925,688,942,483,411,725,386,622,183,550,085,367,
852,364,122,117,304,449,995,708,353,418,374,860,504,543,224,574,064,338,014,
445,261,642,840,076,640,488,628,014,847,144,196,256,919,131,629,641,619,210,
254,104,896,997,726,297,596,856,714,426,068,140,422,574,554,898,582,395,975,
527,657,537,946,068,857,979,344,602,255,926,192,110,496,689,331,922,436,149,
247,167,078,219,792,182,910,894,670,218,065,596,820,455,538,553,702,238,722,
098,830,040,691,077,162,547,841,703,031,854,764,115,009,786,334,361,104,737,
433,762,979,676,938,917,008,962,702,790,416,233,826,916,508,422,152,272,107,
646,245,801,592,810,856,137,097,052,397,308,112,654,742,592,735,277,396,417,
824,214,012,875,707,354,812,609,888,965,729,146,437,890,143,146,899,731,536,
189,630,376,195,850,946,361,591,361,067,579,264,800,063,567,633,301,081,526,
091,341,565,081,991,524,329,085,486,732,137,209,217,763,271,192,679,439,705,
921,829,869,751,555,965,563,206,559,384,007,309,824,619,864,150,915,392,365,
299,054,124,229,885,093,228,599,947,694,605,846,720,406,136,563,458,184,680,
780,093,371,379,581,090,200,089,678,391,492,601,761,502,081,459,107,418,174,
957,335,136,550,835,388,488,884,802,904,432,514,244,483,801,780,150,033,173,
412,346,146,628,045,038,038,277,103,330,385,798,054,793,234,506,411,880,703,
554,053,550,502,032,105,600,541,516,334,844,717,065,549,751,518,077,394,280,
184,732,561,426,316,791,515,814,878,458,379,885,329,266,528,405,206,375,574,
155,858,032,082,786,160,200,207,263,328,224,102,855,648,080,929,223,415,870,
283,207,488,615,354,963,175,428,888,551,608,946,305,525,424,476,044,031,583,
706,606,870,814,192,315,270,321,264,796,161,753,174,556,191,319,010,176,431,
126,452,351,356,566,273,485,250,431,169,072,851,475,531,174,317,803,241,155,
949,293,977,239,298,498,160,786,656,383,599,111,345,516,790,502,516,406,286,
578,674,323,821,505,554,613,800,366,067,367,317,891,345,418,556,906,172,280,
389,881,208,098,544,344,720,464,877,486,810,859,223,655,099,976,615,410,239,
120,598,026,636,109,809,940,330,434,210,038,628,745,581,077,436,975,354,640,
593,052,963,030,839,912,965,150,882,420,929,613,538,723,524,082,561,074,254,
211,956,858,757,732,356,544,650,873,849,567,328,369,770,989,604,473,510,801,
749,832,811,028,590,107,087,183,103,478,703,313,015,228,366,547,926,708,142,
722,895,053,557,635,010,053,863,297,729,835,362,786,865,089,382,999,742,154,
576,979,816,249,580,732,870,767,157,174,217,695,504,293,434,477,760,576,750,
918,068,071,031,368,435,864,826,631,201,851,503,457,475,281,117,242,870,531,
685,636,906,218,279,751,471,693,559,056,863,363,471,560,952,077,450,901,046,
800,346,200,755,521,008,946,041,137,121,161,568,513,935,436,670,649,256,724,
896,268,173,405,153,963,917,233,284,807,765,395,094,011,648,777,720,195,738,
696,736,799,320,486,292,514,668,027,457,337,423,399,277,650,645,828,995,921,
845,544,747,144,914,840,455,185,832,221,339,631,247,356,843,479,702,958,109,
055,739,485,524,534,266,538,646,846,660,711,329,472,822,353,793,994,579,766,
107,295,405,212,248,996,833,722,352,870,051,189,205,780,517,975,490,482,455,
662,774,050,573,599,927,926,997,568,200,927,708,370,003,913,979,336,463,824,
606,219,958,344,364,010,311,492,847,248,384,885,611,965,846,412,473,590,741,
996,628,559,765,516,698,764,957,365,316,774,194,898,278,705,424,344,901,978,
456,177,153,027,983,069,565,850,374,799,641,369,946,972,393,391,708,935,921,
498,094,984,611,319,998,778,730,187,084,993,763,811,314,688,295,507,608,300,
822,408,501,267,895,693,459,727,408,776,427,052,019,050,170,355,930,347,740,
392,016,194,109,205,537,425,079,560,514,277,125,546,104,929,508,395,864,251,
657,234,391,205,274,570,622,980,037,557,007,871,262,521,650,474,264,630,706,
094,204,666,731,643,789,106,631,175,424,521,343,084,124,728,292,066,824,612,
569,952,475,476,119,548,321,132,784,866,012,856,159,275,881,079,122,367,720,
304,263,330,159,035,545,158,617,168,549,310,670,442,809,682,799,664,353,951,
693,443,801,100,461,434,556,855,532,854,930,451,211,986,174,074,713,332,711,
090,597,598,028,609,474,525,195,527,046,437,563,586,360,601,074,448,437,612,
648,404,595,950,747,497,097,858,643,268,581,390,397,789,911,962,958,018,200,
758,417,370,434,478,413,557,699,993,322,004,567,994,372,141,805,362,389,817,
205,665,927,797,764,031,756,337,546,625,914,540,043,774,808,713,303,462,829,
655,562,886,662,205,239,351,223,278,257,597,840,413,475,397,146,100,730,974,
011,059,357,086,358,842,391,818,212,958,120,826,994,755,028,536,455,867,217,
046,605,915,778,391,679,550,987,606,037,090,865,444,246,854,519,389,115,232,
728,073,030,813,029,642,771,017,313,022,171,495,964,712,286,719,447,850,537,
115,232,301,218,152,525,515,961,355,745,887,681,535,049,615,390,273,636,854,
337,110,338,809,808,576,976,062,331,901,570,113,364,121,246,432,283,325,360,
582,871,466,323,474,904,563,650,738,694,415,681,852,883,825,185,832,258,860,
513,324,788,080,948,373,467,402,460,112,289,514,927,125,691,720,837,739,292,
217,701,886,466,482,022,799,888,940,655,602,105,594,555,844,909,805,220,685,
327,079,785,620,160,272,389,765,520,471,589,183,883,393,384,386,268,276,169,
777,023,033,019,980,334,421,757,067,974,667,344,096,412,009,679,392,471,847,
980,556,790,941,512,611,878,753,284,775,096,513,040,764,594,341,689,111,335,
548,745,699,677,275,415,009,921,138,750,113,455,070,214,431,391,593,852,979,
175,853,525,432,819,840,671,092,124,251,516,013,577,090,278,097,112,998,411,
385,581,714,335,618,896,490,655,321,679,072,362,449,327,910,319,396,717,161,
664,035,464,899,543,733,296,617,403,431,000,689,010,377,086,906,161,523,902,
173,627,088,933,259,905,497,958,959,329,391,626,297,417,548,830,813,098,373,
272,101,924,458,672,492,355,407,009,125,640,100,043,696,437,194,210,991,499,
638,506,120,371,288,294,939,991,243,372,906,228,354,880,113,766,125,759,207,
197,459,351,437,320,488,695,926,537,266,307,565,633,098,704,852,056,624,060,
021,119,026,029,440,232,332,726,043,006,937,770,927,136,800,371,067,461,885,
546,328,571,735,989,151,452,856,745,663,595,441,607,715,720,997,738,775,541,
968,481,593,091,002,775,154,025,316,998,621,997,465,576,088,900,524,025,098,
858,845,606,703,196,972,112,793,567,774,595,155,876,169,220,864,426,713,838,
043,548,236,400,969,414,712,275,721,532,898,182,052,532,271,336,600,068,105,
733,777,688,707,083,259,973,555,384,499,844,616,229,513,748,598,131,648,485,
186,692,672,713,741,890,653,897,744,176,676,000,290,687,371,855,312,962,009,
669,274,804,038,091,926,548,182,064,346,414,356,235,199,935,761,892,224,187,
007,379,622,031,070,718,023,971,041,113,715,642,078,999,924,834,127,229,809,
443,373,485,678,507,010,269,292,142,754,546,137,921,358,176,641,947,588,429,
026,158,834,119,496,988,083,453,768,351,985,372,262,990,297,332,000,420,532,
689,319,521,798,637,454,845,613,776,773,998,366,268,242,811,937,643,270,201,
940,516,886,467,753,716,881,663,953,841,580,515,451,741,187,288,953,382,708,
975,470,245,773,739,778,538,398,712,261,792,802,273,954,981,413,734,355,128,
128,796,565,865,957,211,287,561,394,979,136,339,331,690,241,827,222,268,569,
536,817,035,646,410,967,385,068,102,135,903,055,763,144,850,951,430,597,744,
076,893,332,874,871,330,169,369,057,753,724,775,434,174,205,860,227,996,536,
044,008,930,580,874,317,134,037,052,341,685,412,045,136,444,018,033,639,056,
484,706,417,847,358,257,424,823,137,625,125,251,895,218,164,133,673,579,658,
161,224,455,265,114,344,836,771,617,716,069,894,998,338,506,443,841,017,688,
755,620,957,786,597,566,026,735,879,431,077,643,193,184,177,313,121,842,503,
036,855,191,267,331,480,412,049,147,052,381,644,987,998,019,150,051,168,099,
445,822,307,148,961,751,353,342,691,267,369,727,829,340,207,135,821,660,013,
529,268,204,399,275,317,599,007,285,530,264,213,607,135,045,541,667,106,605,
952,006,559,674,718,728,913,195,361,745,603,765,098,901,751,259,904,400,957,
294,378,844,369,751,417,312,919,235,405,860,415,975,413,377,472,435,971,024,
028,276,912,187,759,476,372,850,721,124,923,243,860,567,460,738,205,680,413,
958,797,700,812,789,191,247,627,589,641,943,989,537,895,795,601,156,702,228,
038,970,836,801,273,325,130,328,225,104,115,721,890,727,883,207,225,792,810,
630,362,980,050,279,628,625,373,133,269,177,520,308,221,132,783,812,543,139,
315,253,819,003,557,579,220,236,840,721,213,850,809,192,152,625,510,154,069,
787,243,718,005,350,914,568,377,127,375,316,346,193,417,982,414,555,647,644,
650,748,172,165,877,922,250,179,424,551,022,089,899,678,176,195,693,025,876,
045,312,666,783,057,023,851,773,799,488,663,239,668,416,148,353,403,381,915,
498,924,422,925,083,306,072,093,442,536,849,585,446,886,982,238,725,915,926,
721,216,882,475,101,426,773,197,810,207,326,220,770,976,320,517,532,910,768,
487,023,554,652,675,939,616,415,247,566,605,062,946,133,692,537,820,582,044,
833,887,031,669,464,139,897,606,725,853,110,101,622,612,792,236,775,784,583,
774,339,798,271,273,873,938,833,379,359,581,209,969,175,313,977,138,049,065,
362,099,327,311,385,673,420,710,626,027,872,300,954,978,106,470,563,642,869,
006,682,558,371,629,422,942,999,461,953,646,412,075,022,710,237,805,901,898,
554,902,930,149,346,793,481,402,007,257,037,856,271,761,544,364,587,967,063,
692,119,387,695,496,247,258,737,475,787,750,636,893,217,394,319,459,300,647,
264,204,786,871,512,960,646,045,393,964,635,860,593,427,775,815,408,361,108,
195,093,055,834,305,662,519,584,161,336,818,969,193,594,522,643,856,973,525,
813,599,695,957,554,470,861,239,972,944,248,166,491,108,838,538,950,860,714,
796,424,046,009,473,672,330,470,005,624,062,214,789,037,406,708,202,784,548,
093,730,998,155,143,236,574,858,691,776,239,680,596,299,184,725,663,195,305,
487,421,709,947,368,812,723,267,513,006,511,097,444,917,094,013,490,650,546,
576,632,717,608,071,933,845,393,970,158,458,881,878,030,892,115,761,306,181,
035,177,721,628,064,880,646,498,255,605,804,927,351,399,300,843,522,166,532,
734,669,392,746,124,316,318,860,158,779,289,880,010,837,227,685,369,434,848,
679,592,410,112,866,225,037,486,098,804,448,241,083,914,720,932,009,858,368,
877,127,949,117,387,657,228,731,108,218,057,753,591,270,205,741,206,734,876,
844,016,860,723,485,837,625,453,945,975,159,948,098,709,379,380,753,443,044,
110,916,243,748,099,563,457,530,790,827,586,993,651,239,392,486,985,645,535,
703,762,090,753,557,920,437,070,696,127,598,501,907,364,393,527,336,643,710,
505,097,896,351,625,946,519,374,283,466,204,027,017,877,274,486,270,559,938,
204,979,323,110,847,867,650,575,353,044,891,889,054,379,150,019,084,779,031,
306,594,933,738,771,976,890,097,791,609,042,412,686,591,651,857,178,642,178,
880,210,757,251,475,107,551,356,021,389,083,622,948,539,079,242,762,812,842,
683,856,955,503,821,092,945,569,854,730,139,015,778,150,847,865,112,308,338,
775,458,149,622,382,704,326,068,890,293,728,788,885,004,914,784,922,220,723,
933,846,275,401,607,788,166,165,285,963,017,398,464,232,708,564,709,239,105,
294,807,887,313,990,646,518,449,927,650,982,330,013,503,016,181,589,607,347,
160,014,304,531,141,603,851,949,229,332,471,222,345,500,976,940,646,249,300,
668,493,943,298,256,252,670,821,437,161,641,752,301,237,540,440,119,200,259,
799,053,474,930,843,132,419,341,890,077,588,229,736,516,016,853,296,270,994,
408,066,822,068,842,675,982,712,612,175,744,365,505,952,743,090,836,430,058,
088,471,214,559,212,105,402,727,061,529,910,356,853,471,505,566,066,933,520,
566,692,878,597,444,808,921,258,139,108,460,008,326,987,964,573,633,453,866,
334,699,168,026,968,853,404,987,156,915,919,207,219,285,943,444,380,865,294,
167,780,447,308,476,764,453,452,062,852,577,370,926,671,270,675,886,864,170,
637,652,788,010,634,863,813,537,078,177,569,186,976,780,008,748,723,196,636,
286,286,054,111,545,774,582,445,604,407,392,361,138,588,286,432,291,820,062,
607,640,781,845,272,505,630,116,578,073,446,839,247,647,988,633,212,626,267,
101,571,914,499,560,049,400,547,307,853,909,681,285,858,754,078,396,311,861,
057,162,605,319,102,791,013,314,408,798,736,372,117,367,646,286,083,563,959,
111,949,487,206,680,337,321,812,669,740,086,148,017,728,502,076,427,613,953,
290,284,761,559,230,083,030,476,914,070,488,049,282,047,586,581,641,349,403,
499,751,295,961,361,252,688,758,315,298,089,669,924,999,900,126,417,189,461,
381,301,795,178,625,965,188,519,226,689,470,158,982,610,074,067,804,398,868,
234,564,036,964,137,145,483,609,598,459,540,244,237,973,492,120,385,987,839,
351,843,304,104,332,374,658,296,999,505,728,073,368,547,851,571,386,982,352,
929,535,004,365,434,952,277,527,703,115,549,447,825,059,219,221,217,213,762,
068,162,981,248,751,819,643,896,902,829,920,588,351,170,501,276,962,838,312,
715,473,806,228,596,712,956,597,423,267,219,294,963,025,504,540,492,427,846,
461,075,406,933,133,948,275,323,027,977,908,989,991,352,797,928,970,365,885,
108,288,947,407,358,373,484,855,035,273,346,030,478,573,206,735,805,584,782,
596,946,686,980,134,554,933,585,481,167,200,221,128,993,820,386,646,064,252,
580,013,965,711,897,861,801,268,550,381,095,152,512,662,612,438,805,525,073,
135,403,798,972,589,082,087,028,769,426,348,781,621,344,068,733,039,913,056,
738,820,547,850,026,980,955,867,466,909,336,706,866,748,278,261,614,196,710,
759,303,753,891,175,241,891,108,218,957,397,070,640,246,626,253,029,921,995,
447,616,914,708,547,026,719,767,923,495,980,340,022,834,040,996,151,653,981,
086,619,678,683,810,537,384,589,299,610,920,882,215,245,970,167,852,786,242,
112,046,026,966,913,280,258,637,853,042,329,721,278,882,040,337,351,678,693,
458,744,638,690,848,968,984,175,078,368,773,877,516,275,317,812,665,270,974,
656,708,039,032,651,039,517,242,488,720,817,353,216,572,904,968,936,436,856,
549,952,144,993,912,205,003,025,414,844,080,606,789,083,260,724,108,030,984,
745,046,949,404,119,304,181,982,067,783,060,793,895,129,146,245,551,482,733,
571,345,314,622,882,225,205,161,833,804,085,425,101,566,403,350,399,731,928,
907,901,057,287,801,550,835,982,992,975,665,232,552,568,815,284,137,966,234,
818,686,165,176,392,760,372,484,206,688,074,236,329,490,937,235,782,925,404,
031,475,753,914,681,092,277,255,030,553,984,657,917,353,810,362,568,120,909,
537,123,392,432,666,120,716,081,216,137,621,801,530,869,680,849,354,406,662,
631,115,707,665,408,370,753,079,282,181,854,434,405,859,914,126,632,491,525,
153,057,180,299,388,038,292,670,455,996,258,400,968,761,603,890,029,818,973,
926,609,241,161,968,318,327,662,448,489,643,130,085,466,595,759,579,248,447,
110,845,163,296,287,522,515,058,173,001,379,403,620,249,943,004,503,473,652,
549,127,635,334,912,687,783,390,951,787,357,399,179,985,020,402,248,394,010,
647,115,767,395,844,687,751,017,823,379,478,874,495,208,408,257,350,928,653,
223,172,790,961,804,615,381,662,756,478,121,604,542,360,453,981,471,652,655,
401,205,793,462,893,586,518,078,371,525,059,226,444,672,194,669,322,257,638,
110,009,271,054,849,445,065,980,564,155,888,954,427,399,076,792,209,722,723,
401,955,079,533,333,600,058,267,151,751,867,137,892,681,125,489,407,301,431,
703,358,677,144,464,218,749,504,293,081,161,792,633,308,470,270,067,970,903,
621,281,064,065,005,222,425,060,364,118,003,348,599,550,371,405,532,164,354,
870,102,471,331,010,867,995,435,106,350,910,050,421,115,137,001,502,432,857,
696,012,234,298,176,771,710,318,641,810,329,483,158,002,439,641,419,345,087,
236,448,316,334,814,385,541,320,646,856,755,377,486,963,499,258,494,116,535,
862,675,309,474,665,890,401,875,130,148,489,439,633,550,488,358,339,462,899,
873,921,429,734,831,216,533,389,542,350,087,925,867,732,066,423,608,179,112,
744,672,133,289,511,782,006,626,398,164,763,934,157,717,784,863,223,279,585,
334,532,399,645,450,417,642,690,298,198,763,268,988,890,541,424,129,316,662,
058,206,756,702,341,940,638,849,585,575,635,494,911,189,730,739,396,196,183,
162,783,966,253,779,843,054,119,318,414,386,608,690,955,580,342,073,465,848,
047,219,163,775,990,086,849,318,037,019,995,614,517,808,232,990,845,637,158,
230,570,890,898,449,259,144,365,029,150,927,996,634,405,783,180,437,811,696,
825,307,876,955,267,653,833,342,326,804,662,818,603,305,228,378,165,827,166,
382,929,217,434,819,841,377,660,280,196,219,841,166,694,364,801,346,544,771,
323,017,423,289,435,515,346,172,608,620,504,223,501,686,603,496,140,021,277,
812,261,570,669,733,293,923,975,196,305,943,077,578,573,607,813,610,575,864,
194,261,576,376,490,422,663,593,422,804,497,832,279,756,632,918,888,201,852,
542,697,919,900,883,471,794,111,536,532,307,304,997,898,138,851,532,910,476,
658,695,761,270,397,489,349,217,625,357,697,279,834,400,176,034,790,911,116,
402,467,479,640,264,527,418,872,357,809,712,666,034,698,537,330,956,175,098,
604,818,817,924,381,617,743,086,996,866,308,053,073,786,376,646,287,334,593,
925,314,482,560,412,515,445,674,193,391,201,485,098,204,369,286,707,312,958,
732,654,036,721,368,594,214,589,366,370,452,905,163,407,622,054,785,158,919,
383,180,637,168,950,198,782,707,515,729,222,579,884,023,668,663,578,683,513,
445,100,801,852,416,986,704,447,624,175,827,082,588,208,458,249,246,220,633,
393,922,505,441,180,149,375,377,188,167,605,494,022,852,532,814,422,690,733,
865,633,508,866,567,887,103,019,993,340,747,673,875,386,635,747,426,654,781,
349,110,576,429,606,070,167,288,619,928,203,478,427,911,103,266,413,783,736,
929,788,339,544,829,565,269,758,216,317,427,338,442,933,976,251,758,291,000,
657,317,526,209,987,910,882,888,353,825,015,587,082,575,707,400,607,796,510,
242,423,123,039,325,297,490,486,506,842,809,098,644,773,493,387,844,332,913,
296,911,222,370,578,079,894,215,951,894,800,116,195,565,566,457,706,586,505,
289,743,457,513,853,284,583,894,950,764,739,444,137,703,253,238,936,697,388,
217,916,227,468,865,491,188,450,766,293,898,361,036,376,992,548,576,918,932,
793,132,959,993,314,067,309,490,940,773,911,890,385,657,449,395,731,377,634,
746,228,559,507,668,159,297,341,790,839,788,604,624,620,321,521,873,286,162,
504,815,806,843,860,913,656,867,816,861,722,103,869,518,550,918,841,297,295,
291,140,627,982,229,157,168,776,398,826,275,547,211,471,386,374,738,602,755,
100,041,292,886,004,308,245,716,201,466,692,494,543,823,806,218,201,571,064,
324,444,634,472,986,447,234,575,574,726,034,041,793,295,298,204,278,552,048,
484,587,412,456,590,439,887,342,765,716,916,376,819,347,850,656,062,593,127,
284,473,824,843,343,542,122,526,169,448,854,807,777,032,143,304,534,163,109,
811,615,339,490,247,434,708,876,690,212,388,963,776,735,530,265,769,874,469,
589,964,592,033,139,945,360,883,515,806,124,784,841,627,383,248,807,860,327,
459,767,724,656,402,534,463,346,339,902,786,329,235,122,995,802,480,231,525,
805,497,131,802,570,560,297,675,171,784,211,480,649,435,365,519,047,514,185,
047,483,008,545,979,854,673,659,489,974,120,334,014,751,344,401,260,092,285,
369,591,115,641,391,476,541,626,526,523,926,166,042,529,129,705,624,473,316,
675,921,480,923,281,543,174,717,308,250,415,778,483,608,257,529,650,668,794,
833,045,056,106,436,016,449,864,843,594,056,610,635,077,124,578,681,896,424,
258,314,102,766,791,183,789,015,815,545,254,772,709,549,958,800,005,736,471,
797,747,782,295,730,563,835,944,476,256,228,320,036,454,393,436,320,759,610,
638,857,765,850,371,984,683,344,071,057,699,207,845,852,282,847,858,529,806,
753,497,979,097,981,799,113,742,602,602,106,287,872,883,935,743,142,381,579,
412,259,071,938,503,103,852,308,726,506,116,929,476,573,683,139,181,122,701,
003,950,517,206,273,948,481,301,941,221,911,874,731,814,359,575,114,514,068,
308,265,681,442,465,174,925,405,201,360,753,929,129,617,085,564,453,385,906,
383,383,803,848,874,129,973,006,544,181,338,594,131,417,627,825,140,979,696,
105,427,166,886,077,126,570,727,007,439,262,365,116,660,318,014,047,303,952,
053,844,539,285,856,654,706,000,988,610,193,802,120,029,239,783,125,770,325,
184,355,685,203,245,046,839,782,451,572,304,933,606,102,948,368,611,615,004,
821,956,710,415,908,043,466,980,340,625,187,351,757,070,147,846,537,057,919,
812,896,967,853,163,132,549,968,416,583,345,367,001,943,908,442,523,934,401,
310,230,801,192,638,528,256,399,817,145,962,107,418,852,768,378,632,320,380,
657,276,628,832,652,774,543,918,506,701,510,758,227,662,214,377,037,179,050,
549,731,171,944,067,110,785,886,689,245,890,781,490,995,741,076,533,190,809,
120,311,708,249,234,854,963,413,018,924,491,845,788,586,992,174,019,235,097,
426,956,484,653,767,114,056,855,117,181,954,595,193,374,931,204,472,692,591,
645,277,136,114,382,857,053,759,635,194,052,816,039,876,270,221,021,125,118,
947,105,522,730,510,217,684,116,025,173,421,513,892,039,926,741,970,733,563,
397,691,697,011,884,147,302,968,710,215,605,973,081,778,036,011,134,896,301,
868,914,772,304,757,526,163,531,659,902,841,335,905,599,576,508,338,434,982,
487,267,030,930,254,049,927,758,129,890,457,722,622,659,215,681,621,382,876,
770,231,069,069,228,746,077,015,342,302,666,552,031,020,191,833,903,069,964,
191,222,415,059,308,932,033,556,839,813,248,140,555,690,450,561,672,138,414,
829,622,919,251,992,529,760,755,067,245,751,178,688,968,989,389,807,099,178,
628,888,235,084,771,212,743,227,920,303,605,334,490,126,994,963,625,023,256,
516,346,896,629,698,010,168,975,733,018,035,324,836,747,752,005,631,074,955,
641,891,345,850,894,763,466,649,163,844,752,150,958,984,338,520,477,454,235,
894,353,637,121,707,336,572,071,390,829,756,431,630,754,991,782,802,981,392,
151,844,178,072,768,451,950,200,787,922,943,051,184,971,130,854,739,521,430,
291,919,168,075,691,329,617,485,389,260,140,583,384,122,193,227,512,768,205,
880,096,607,069,604,840,311,667,680,605,438,980,312,260,468,476,197,563,065,
680,991,111,731,915,635,465,342,247,080,533,051,247,513,982,852,870,671,858,
598,582,789,588,159,311,622,793,046,603,042,320,335,083,831,478,345,149,323,
357,152,265,331,564,448,893,397,524,856,661,530,940,871,901,624,244,973,226,
382,180,916,807,666,087,655,229,596,042,635,517,859,095,609,427,586,779,763,
095,480,481,851,746,879,536,462,968,462,464,245,058,943,531,048,888,143,840,
272,932,150,376,294,440,149,036,739,270,098,316,612,600,878,835,173,321,867,
137,121,629,993,391,241,804,288,833,799,059,825,871,250,031,397,686,761,673,
155,890,980,695,002,054,815,742,963,809,021,059,317,288,811,624,896,592,728,
677,103,631,569,533,572,074,632,369,041,208,237,975,278,294,318,225,620,863,
950,159,635,708,085,167,247,128,812,580,811,386,930,914,030,670,166,132,596,
705,781,627,413,310,126,184,622,845,534,722,309,742,442,329,808,115,071,080,
561,968,466,138,056,459,633,512,771,984,130,936,010,570,566,614,078,426,547,
627,125,390,119,591,297,558,464,153,149,291,996,128,405,663,385,649,167,553,
871,063,908,296,536,528,568,789,544,040,658,286,975,803,024,614,550,986,289,
036,225,310,843,310,457,783,154,415,581,255,005,778,772,853,826,101,978,101,
711,927,483,633,363,035,955,610,269,391,757,602,550,251,677,615,332,677,828,
506,713,367,557,724,336,595,797,552,491,031,618,070,014,781,179,875,277,317,
685,725,045,676,774,457,065,864,560,900,971,658,664,906,913,921,156,225,593,
517,260,951,066,609,607,128,789,420,998,195,405,762,716,544,062,824,756,798,
747,688,642,487,013,581,804,897,389,774,170,885,036,879,219,724,591,475,741,
059,890,443,306,196,263,468,747,415,598,338,252,959,851,682,421,222,488,255,
070,842,455,896,359,092,171,846,175,570,061,291,167,086,026,488,607,926,844,
430,606,192,287,699,059,990,515,062,552,055,621,012,041,250,441,977,447,647,
812,267,427,495,897,578,590,976,678,068,287,713,502,199,950,529,868,250,558,
817,945,400,106,596,995,314,563,148,138,702,870,603,378,298,475,921,114,230,
518,654,411,538,967,428,075,877,764,644,935,011,147,074,902,423,432,821,566,
982,222,080,194,102,462,581,589,962,212,143,634,732,422,230,508,958,797,804,
398,696,071,208,613,562,772,488,517,566,342,822,068,978,957,806,408,020,919,
140,978,671,534,949,115,181,754,886,754,084,786,179,220,964,851,182,917,972,
323,501,361,857,701,279,348,262,834,925,670,761,279,382,954,001,818,522,746,
506,654,206,384,000,961,589,780,509,750,073,317,855,927,522,717,541,979,527,
277,179,217,386,790,943,045,775,263,807,355,392,487,930,649,787,437,340,573,
045,741,092,301,899,230,780,340,671,054,735,512,175,628,402,072,631,881,907,
405,072,617,141,995,288,235,957,720,728,620,179,189,963,816,751,343,506,534,
612,263,148,037,774,832,448,337,416,215,281,111,436,720,705,425,962,751,624,
896,090,223,909,119,294,130,278,175,630,908,964,168,803,086,868,968,993,486,
405,009,615,899,426,033,966,067,379,700,884,041,596,931,143,544,375,015,806,
615,482,590,100,023,151,452,713,387,279,227,307,526,087,127,136,531,531,555,
565,236,118,639,164,177,370,329,403,672,517,907,408,865,092,318,233,047,997,
100,164,085,092,581,569,505,999,085,953,678,673,685,559,862,704,208,710,699,
474,518,500,182,200,872,308,767,624,306,817,186,569,324,394,046,501,854,109,
318,469,765,318,008,991,710,227,197,472,349,744,431,339,513,325,596,595,657,
727,514,146,753,135,197,830,375,712,062,943,855,490,127,202,761,144,971,562,
478,225,964,404,226,403,629,813,787,534,981,366,606,882,898,719,245,524,735,
175,348,376,376,219,603,879,176,458,000,138,003,944,010,696,453,694,145,332,
837,100,663,200,865,437,212,316,969,481,512,102,719,739,388,829,320,880,627,
429,711,651,552,845,037,263,203,770,550,383,818,692,253,560,148,054,561,763,
654,622,570,928,472,849,777,658,538,837,450,909,085,296,037,704,923,919,700,
699,852,731,149,357,647,719,421,815,868,832,887,470,203,561,189,117,491,728,
239,757,966,774,211,089,736,394,003,826,065,307,115,290,141,336,648,106,148,
162,164,613,481,503,995,809,594,933,048,098,241,078,525,627,601,040,888,069,
024,337,178,009,276,389,903,073,583,327,485,475,456,534,411,800,365,415,779,
186,122,625,583,673,752,189,296,525,009,649,211,678,582,709,656,749,661,238,
999,770,568,820,877,203,968,213,550,028,394,981,296,423,220,286,983,591,653,
343,583,252,085,013,109,714,347,186,334,573,356,866,993,791,039,422,195,633,
139,881,588,908,751,521,483,593,682,893,715,675,890,683,883,515,605,054,617,
758,061,875,727,906,994,868,639,503,278,101,316,147,065,827,238,388,746,136,
083,313,125,713,833,639,229,850,311,487,604,146,470,520,299,862,160,492,781,
774,111,367,911,620,481,487,699,373,723,438,642,446,371,823,122,807,761,479,
460,305,551,205,315,669,510,436,126,423,678,025,616,238,161,293,354,395,805,
202,356,685,982,143,413,176,863,279,560,536,832,468,115,222,876,730,610,569,
391,769,119,835,507,490,606,044,912,138,136,983,577,943,779,834,411,694,595,
235,012,382,860,612,188,980,230,389,098,180,716,662,566,041,949,667,484,204,
259,699,819,020,571,179,083,188,185,696,940,466,320,761,474,672,065,181,515,
287,534,457,303,249,988,514,118,663,434,476,001,379,074,981,838,762,158,829,
374,937,758,829,933,902,014,664,484,164,158,077,703,768,290,701,534,906,583,
168,999,943,942,311,992,216,941,045,497,549,259,670,131,121,500,677,682,427,
882,510,621,513,836,156,051,207,513,530,253,595,106,974,046,003,772,388,166,
768,830,658,568,250,106,734,091,047,922,579,957,807,206,685,217,807,878,735,
797,371,387,931,387,092,308,683,132,820,129,556,072,374,440,300,959,840,208,
777,667,317,971,794,789,306,860,068,638,287,838,925,295,074,640,532,366,583,
379,481,784,758,319,930,910,979,154,632,362,785,318,055,019,350,753,592,109,
009,569,518,312,156,896,312,481,421,942,116,606,085,247,275,971,751,947,075,
185,237,913,944,107,010,506,686,291,744,589,633,201,185,245,591,254,147,125,
873,714,737,259,822,396,529,641,765,614,475,536,755,560,841,949,126,683,465,
689,093,386,924,859,665,573,088,129,365,852,004,061,531,043,681,760,957,847,
817,171,388,378,343,151,673,219,618,626,962,234,039,870,517,214,754,855,115,
696,165,672,163,142,437,288,423,977,304,739,809,878,522,246,646,347,166,050,
928,997,584,647,419,332,562,328,336,485,563,548,184,186,122,945,628,420,801,
973,494,197,896,312,694,101,977,995,094,714,749,916,445,954,065,546,598,421,
209,699,287,369,258,079,745,133,929,766,888,507,788,217,728,568,877,424,315,
455,103,895,141,920,216,540,833,290,201,299,038,609,875,699,571,884,017,889,
608,724,724,608,292,070,338,573,476,985,419,407,988,775,946,089,582,665,545,
621,539,756,400,416,667,884,333,185,513,753,595,022,044,944,175,901,517,655,
325,929,549,411,631,544,057,115,698,870,686,974,885,932,130,226,413,012,001,
507,547,293,428,005,265,218,140,338,177,247,950,540,998,376,031,296,447,273,
769,554,348,368,811,402,630,679,003,961,777,209,805,605,908,521,583,961,535,
583,815,444,174,433,139,363,627,870,837,747,140,304,345,692,062,315,798,106,
815,139,428,123,194,048,877,412,065,522,705,228,304,402,609,154,801,513,135,
977,871,353,519,036,590,074,665,352,855,812,936,070,661,823,196,616,348,512,
609,535,226,185,611,467,597,829,870,569,222,742,098,881,293,812,911,239,224,
141,392,383,905,538,842,694,799,878,635,877,326,381,110,365,922,315,136,814,
260,215,365,391,008,447,295,563,551,433,395,906,501,708,624,767,976,912,859,
160,519,300,008,461,406,292,147,499,512,175,233,063,772,238,320,276,869,534,
729,545,662,809,306,117,317,247,227,719,327,571,362,223,215,345,509,770,033,
932,349,778,998,683,001,486,336,667,520,339,064,753,984,734,509,017,995,204,
930,047,623,966,807,574,605,693,481,829,588,828,577,055,100,783,064,946,703,
639,655,042,287,253,176,121,315,951,630,110,688,241,733,963,208,217,185,327,
022,973,989,227,651,131,608,255,622,697,140,751,018,595,750,428,228,192,725,
433,844,741,076,657,304,521,390,331,934,785,492,827,749,086,709,044,741,397,
452,952,310,454,631,699,004,005,466,338,210,701,477,011,734,585,032,638,821,
012,084,183,226,179,651,017,489,152,007,400,779,044,963,755,888,395,405,108,
799,779,402,709,793,440,919,670,854,544,905,014,151,941,634,678,681,712,471,
317,964,831,593,730,274,292,468,180,364,666,307,904,963,600,079,836,966,247,
687,876,771,884,548,330,145,814,751,880,211,658,667,758,655,507,550,910,736,
951,196,392,235,441,513,836,821,739,827,827,068,419,732,129,026,577,285,711,
834,050,979,524,014,224,884,564,901,026,082,598,082,071,604,225,965,074,157,
418,217,328,037,419,582,260,381,896,980,083,262,678,551,527,789,494,955,387,
025,913,417,881,300,724,094,755,281,043,949,294,382,217,355,259,596,836,207,
059,078,333,380,053,061,349,046,129,158,735,222,739,123,234,797,833,958,795,
285,709,358,302,142,226,925,575,836,092,089,245,329,426,823,762,596,839,895,
173,037,778,747,433,591,636,612,954,539,875,633,284,269,077,083,675,224,311,
526,197,027,002,671,948,929,898,396,590,552,292,058,733,269,549,920,197,494,
093,586,699,725,199,031,592,485,365,242,176,663,788,227,444,156,560,667,193,
457,921,202,953,193,064,631,210,293,662,194,349,423,860,710,327,124,552,305,
394,744,066,672,941,381,902,040,218,776,583,275,488,032,971,757,447,689,421,
603,424,722,824,420,166,846,800,794,046,222,890,461,266,199,300,159,209,803,
100,905,925,844,652,684,787,606,781,910,375,017,905,147,058,171,622,849,312,
730,047,814,330,080,296,500,636,719,477,111,378,131,340,639,266,929,892,700,
881,756,809,911,505,401,344,291,110,786,833,681,989,616,520,966,517,250,334,
379,019,485,347,754,349,055,400,634,263,953,847,119,153,636,923,687,227,741,
031,538,089,100,156,153,106,820,422,829,377,414,822,078,138,876,981,206,394,
035,055,061,124,340,728,572,149,223,892,269,582,085,259,011,166,089,913,979,
481,179,682,884,754,852,929,909,457,938,436,946,771,968,388,684,679,660,884,
142,372,638,799,290,112,353,795,343,597,563,929,112,519,293,805,441,160,697,
889,422,985,420,823,465,735,802,236,193,850,300,462,795,951,204,245,376,949,
402,276,955,127,975,748,600,940,740,400,926,786,949,563,278,041,201,959,529,
860,867,368,303,704,858,216,155,156,828,373,689,196,300,907,122,467,749,429,
400,421,764,366,281,664,891,201,535,358,607,800,586,661,757,643,206,085,702,
568,576,569,612,037,879,503,927,614,456,845,742,411,388,911,671,724,875,021,
217,765,447,887,183,037,374,924,090,604,171,450,005,043,358,156,816,432,214,
217,907,524,950,406,047,378,965,633,455,168,875,857,638,410,115,919,494,319,
720,725,294,149,102,491,069,198,739,181,244,398,165,936,060,233,740,921,482,
042,028,099,534,255,519,701,383,948,033,391,646,573,742,963,307,151,837,803,
334,072,918,732,620,075,576,850,867,079,911,938,174,828,755,217,566,931,944,
517,648,238,916,288,995,612,437,003,971,394,518,613,788,170,105,978,468,436,
514,251,658,040,782,449,327,481,832,235,000,386,921,351,697,396,489,147,235,
581,527,191,338,170,513,838,494,995,608,995,221,638,109,661,162,369,492,622,
489,269,627,221,948,694,964,430,049,947,151,530,347,770,401,145,270,074,626,
249,897,653,947,277,537,474,994,323,067,619,020,422,068,813,664,441,160,344,
430,779,162,477,308,558,583,659,619,535,761,556,620,344,872,624,218,959,273,
932,375,508,649,018,445,907,262,591,448,050,369,253,323,926,305,021,965,056,
504,600,631,407,646,868,368,643,081,114,291,440,139,970,141,918,698,440,546,
071,021,024,158,224,537,207,849,208,931,135,216,322,411,760,370,401,036,009,
332,083,837,975,014,652,470,446,616,050,432,635,970,617,850,092,145,273,467,
357,280,898,910,568,205,154,382,374,136,786,356,135,741,772,137,604,076,435,
729,134,760,698,077,170,247,277,977,203,173,105,109,631,957,842,893,229,684,
672,946,574,205,639,423,963,663,079,756,414,384,091,885,185,435,811,975,157,
648,455,172,363,665,797,165,487,090,643,197,818,311,270,622,463,856,751,704,
097,567,422,175,324,084,632,640,992,575,643,795,080,472,666,542,393,921,090,
306,757,578,871,966,896,102,229,690,676,801,796,445,715,585,242,758,703,809,
390,115,642,391,876,275,544,660,787,938,437,452,362,907,940,086,925,078,675,
725,827,651,419,167,622,500,120,284,145,558,904,491,767,660,258,862,645,552,
903,486,278,471,943,466,063,992,049,818,466,177,682,054,927,993,241,896,144,
680,435,829,905,918,011,360,955,465,693,092,405,995,172,350,798,060,607,334,
602,532,839,307,644,186,627,429,926,115,189,627,539,642,814,867,461,729,478,
258,772,553,163,666,243,948,761,048,733,917,721,639,124,719,217,794,657,538,
501,906,776,469,248,736,020,352,995,126,413,577,740,189,007,275,347,368,130,
819,234,276,577,899,130,991,453,539,438,010,806,745,951,179,519,989,112,185,
530,469,262,828,472,487,118,388,295,113,116,958,685,820,908,595,487,494,684,
603,515,642,867,205,053,555,919,318,392,128,149,952,116,009,261,560,251,876,
882,442,287,601,894,528,600,208,418,661,455,127,675,820,504,111,059,114,699,
665,216,995,986,296,658,628,025,047,202,372,398,050,363,595,059,512,116,412,
668,597,566,806,790,068,211,012,417,135,502,819,183,551,101,025,697,496,997,
005,741,345,289,687,002,525,764,006,889,513,710,075,321,952,799,909,945,949,
530,064,188,769,301,583,935,289,068,457,928,265,695,384,114,727,453,446,289,
574,829,137,842,019,541,487,833,580,509,718,399,114,503,649,358,148,358,170,
705,123,995,444,343,132,004,046,784,675,537,501,605,821,795,524,264,707,458,
813,821,226,766,292,116,107,828,251,563,870,892,429,458,527,563,295,480,208,
321,279,402,591,336,823,666,138,817,855,506,219,828,438,057,829,764,104,174,
343,737,256,785,616,457,635,994,635,605,733,605,883,336,195,267,059,300,816,
892,725,092,589,244,604,046,968,304,518,080,021,496,886,314,342,963,492,144,
298,790,421,790,388,246,801,906,852,381,269,295,058,776,820,337,727,971,060,
291,467,317,369,548,930,538,805,551,905,195,090,631,264,301,733,460,509,113,
745,822,407,787,651,565,608,540,499,950,893,409,247,720,116,768,538,778,971,
624,928,055,625,092,840,161,395,458,246,436,833,184,102,815,745,545,349,245,
770,816,879,313,118,533,619,086,645,644,858,461,397,292,824,322,338,199,904,
437,118,176,661,977,141,659,602,124,403,800,784,693,840,031,886,401,224,348,
943,592,661,292,183,059,584,945,708,042,693,661,763,877,340,990,298,640,706,
865,123,127,181,906,826,610,713,518,654,167,400,749,544,308,574,660,015,039,
757,440,214,689,855,942,909,608,144,325,501,410,574,497,876,383,913,331,698,
885,592,278,221,579,129,685,928,886,538,690,660,993,636,295,703,425,361,907,
183,237,934,948,051,010,814,898,229,214,382,219,937,528,763,333,410,198,873,
228,272,252,116,499,534,316,498,629,017,932,610,711,016,345,013,712,309,155,
388,924,910,943,556,564,577,813,851,671,398,048,011,017,612,957,827,804,865,
116,703,423,531,082,137,609,367,626,500,334,383,728,030,504,519,334,222,134,
420,707,067,202,242,149,757,272,093,510,359,778,857,513,571,039,210,598,377,
476,883,580,671,096,941,466,693,435,936,972,691,273,156,323,731,029,534,660,
748,783,538,046,496,955,871,434,342,863,810,073,733,753,367,972,858,781,831,
730,753,093,862,824,905,564,691,223,523,008,641,734,267,465,112,339,622,771,
882,012,821,625,547,755,552,842,535,287,043,867,654,145,219,895,742,116,640,
318,495,125,813,649,309,713,220,384,465,051,181,030,279,452,910,615,338,675,
290,516,684,096,205,393,520,744,094,609,962,598,737,543,596,521,596,259,599,
749,835,874,401,986,138,678,810,909,998,983,403,238,364,597,462,402,641,766,
427,732,688,411,804,211,616,949,458,870,653,999,069,338,016,614,037,215,938,
555,128,783,730,661,520,773,216,148,601,813,040,288,755,034,577,002,423,372,
460,032,066,564,587,072,095,586,332,911,089,254,247,306,301,490,732,763,358,
303,355,901,444,027,639,791,286,779,936,984,312,707,225,404,095,836,466,616,
093,490,835,094,237,941,748,501,349,421,644,266,722,023,347,172,537,041,985,
614,389,047,266,036,440,173,887,224,823,745,545,567,332,655,724,504,148,047,
574,182,780,139,743,407,193,389,318,705,653,966,534,905,865,258,110,697,136,
020,574,647,244,382,718,443,926,806,645,870,389,222,536,251,940,983,347,824,
985,655,422,495,104,799,483,702,530,232,813,931,420,234,432,301,269,035,080,
753,619,831,206,399,056,651,235,951,983,016,116,292,528,634,588,766,502,986,
289,775,041,309,292,370,291,573,864,049,733,492,560,129,620,261,418,906,349,
562,833,557,708,227,446,073,430,292,768,353,811,483,250,632,963,192,355,448,
602,288,219,947,219,192,959,862,985,027,158,072,377,994,307,727,783,367,325,
031,790,455,804,223,733,873,187,063,790,010,533,524,427,656,947,693,149,487,
062,063,222,241,430,112,324,237,520,847,617,497,177,519,086,584,044,804,535,
617,774,185,049,398,211,805,455,485,373,897,799,859,850,531,616,166,685,250,
616,928,079,106,423,252,873,273,785,950,393,114,439,769,660,893,836,558,495,
981,968,253,209,384,368,810,682,117,260,746,493,102,856,457,989,804,664,741,
609,255,421,330,799,772,406,413,787,205,692,477,801,362,667,371,192,022,253,
714,073,960,118,926,503,729,509,071,790,174,210,330,372,111,537,749,310,982,
856,720,766,379,420,190,915,499,497,953,306,089,306,148,026,035,576,886,980,
815,301,486,548,888,346,182,500,664,114,351,460,385,243,476,547,138,017,993,
190,968,086,400,625,321,119,835,233,953,766,763,341,600,987,591,296,239,416,
827,908,223,755,087,319,654,133,868,159,522,243,897,879,823,357,160,986,905,
851,672,701,262,641,619,419,715,871,682,705,122,816,104,097,372,023,063,406,
928,032,359,554,146,216,814,396,548,776,065,122,030,664,953,992,623,916,373,
434,739,046,097,012,386,984,587,200,425,596,788,528,707,930,046,112,638,862,
011,863,333,118,990,684,140,423,810,303,432,271,150,687,123,617,368,190,029,
479,579,730,165,169,505,451,851,526,285,958,746,135,228,761,383,448,345,367,
954,427,551,841,299,799,981,600,337,964,760,352,094,859,085,080,915,811,132,
418,090,049,046,518,540,018,134,954,888,233,081,986,539,268,684,549,258,299,
242,309,018,443,842,074,497,497,081,138,041,029,748,900,287,987,533,263,660,
591,822,465,520,341,077,178,015,843,704,482,545,195,861,694,747,810,823,092,
072,677,244,100,106,529,079,715,175,407,715,155,966,839,562,697,673,514,510,
587,430,891,150,333,666,194,067,576,844,294,107,350,092,794,286,284,646,746,
633,930,525,579,561,686,497,287,863,233,872,158,045,096,089,288,483,901,104,
285,674,555,085,523,092,198,398,168,887,374,983,369,332,218,444,918,011,239,
200,078,343,181,514,774,012,856,572,951,591,399,720,511,966,236,377,818,983,
604,059,029,193,601,134,169,891,305,202,388,978,697,289,511,551,717,148,445,
546,087,834,629,772,739,792,614,202,199,769,284,012,623,597,118,033,700,416,
329,362,295,655,526,501,942,281,122,409,460,887,928,586,997,744,525,307,627,
724,001,731,085,545,748,290,397,447,509,641,299,245,852,932,440,864,373,414,
140,455,657,607,255,673,078,207,422,785,528,204,052,325,644,839,114,909,268,
617,993,418,319,142,098,181,078,050,449,832,889,152,375,986,656,015,521,528,
102,511,852,376,092,942,917,190,315,789,829,333,947,338,910,841,596,531,898,
335,339,723,886,338,142,228,598,572,160,321,119,014,123,667,164,685,864,513,
991,298,872,882,216,506,831,787,945,722,634,343,785,060,509,404,874,300,617,
474,985,717,245,183,464,311,030,753,374,062,964,656,441,514,962,471,938,115,
808,051,366,966,907,904,121,308,385,983,061,163,623,924,016,791,070,032,300,
877,161,753,519,522,613,447,844,825,776,562,780,458,190,603,111,762,162,327,
573,337,196,685,736,023,188,967,654,142,403,531,649,083,568,856,843,246,252,
073,477,354,894,858,423,850,843,733,119,385,916,486,015,249,257,530,632,327,
668,298,405,703,799,489,788,030,205,890,211,634,089,677,732,503,968,787,708,
988,273,149,898,797,394,283,342,925,760,514,095,310,455,165,269,783,149,323,
069,736,139,298,289,150,801,010,990,925,136,364,592,087,706,119,768,552,940,
082,515,542,677,805,278,672,009,677,303,028,925,772,697,415,024,702,369,260,
094,525,099,444,428,314,294,612,101,310,758,330,293,345,165,828,144,777,417,
756,155,742,040,408,039,043,421,514,948,330,163,403,066,301,074,917,203,323,
954,101,126,849,131,815,844,336,875,711,702,409,423,233,218,460,504,285,542,
427,130,278,866,675,136,630,500,172,557,483,221,351,182,757,146,583,572,897,
336,355,468,989,549,740,820,193,435,977,844,582,976,473,376,362,143,453,430,
944,028,472,743,435,849,571,867,256,688,744,974,757,052,016,720,193,337,631,
434,493,641,572,602,961,595,125,307,952,676,158,595,472,395,368,272,848,277,
786,442,058,896,715,239,256,227,164,040,184,769,420,326,909,354,790,942,388,
133,532,218,193,940,014,341,635,715,243,177,095,490,331,287,577,538,755,585,
287,820,750,996,646,262,929,467,021,143,525,837,404,792,313,426,922,715,284,
245,327,674,245,716,638,289,822,342,122,501,162,525,220,000,920,965,029,155,
888,716,212,368,717,095,043,883,568,220,399,181,933,439,953,638,710,181,030,
354,998,358,877,147,858,545,450,152,567,182,428,387,474,153,475,311,598,327,
103,560,874,431,988,636,514,013,788,834,695,581,505,721,089,358,973,091,024,
957,997,861,090,904,067,342,553,286,488,854,587,427,462,635,082,557,941,211,
118,708,634,074,007,607,607,524,758,843,678,366,726,140,966,565,570,764,290,
609,026,051,795,067,715,446,224,425,195,788,891,482,294,787,467,206,318,092,
473,472,219,350,716,700,423,664,602,239,570,225,734,135,462,152,120,311,477,
499,185,984,511,765,274,888,733,056,478,403,488,868,908,332,260,996,530,376,
150,709,598,156,766,691,045,884,658,300,679,475,987,543,843,657,328,560,731,
531,290,300,226,546,878,934,825,357,934,081,744,565,237,900,647,001,147,072,
127,616,082,132,069,164,519,964,760,572,979,122,060,666,776,507,493,024,413,
637,773,899,860,345,158,615,299,453,471,396,241,305,759,481,790,497,236,981,
482,074,249,456,694,807,785,475,498,072,845,002,109,127,403,925,052,022,378,
737,962,135,924,755,782,001,423,674,278,357,550,921,590,303,511,325,993,888,
585,592,085,243,381,637,113,764,430,540,480,640,939,676,770,529,414,306,984,
179,120,024,126,458,300,334,787,007,424,371,027,404,302,521,449,984,266,927,
694,167,950,506,886,019,077,749,981,766,040,795,197,316,526,334,790,577,359,
052,938,736,093,578,742,085,370,949,180,286,458,497,929,069,277,009,625,504,
720,920,622,036,628,823,922,670,598,269,427,539,718,101,915,209,841,469,431,
614,120,377,370,059,067,904,271,534,879,677,319,108,887,732,106,623,433,311,
577,192,356,131,061,142,962,778,597,717,064,531,226,942,547,581,925,648,717,
230,503,706,487,484,186,059,595,086,968,397,988,084,444,833,790,398,972,818,
055,300,741,173,071,023,314,626,328,384,809,760,632,318,718,391,846,856,532,
300,143,928,376,287,433,898,365,936,095,397,814,220,415,974,251,946,475,266,
438,274,823,834,952,879,316,755,666,047,670,552,787,160,527,018,679,784,198,
730,255,069,883,409,831,858,518,749,951,976,215,425,031,681,408,369,018,547,
814,466,710,980,337,131,179,826,375,484,021,040,900,965,682,075,972,276,389,
883,275,285,004,981,071,535,799,541,476,618,389,175,700,049,598,863,718,411,
193,016,524,401,439,011,739,210,446,798,612,727,996,751,808,857,725,062,059,
230,985,475,743,651,960,138,824,581,371,436,430,621,114,059,650,648,605,622,
290,564,100,895,762,759,282,501,515,537,283,764,937,929,710,408,642,730,086,
168,447,901,021,077,273,078,068,637,698,899,920,096,112,373,252,811,748,013,
894,370,160,867,959,283,226,930,118,554,539,612,526,255,399,158,890,743,234,
041,377,801,634,293,335,097,554,684,040,558,579,041,070,333,989,241,915,220,
141,232,159,961,332,362,202,438,789,447,226,747,875,611,644,750,661,553,187,
356,083,816,351,113,859,412,562,943,132,213,609,934,347,756,458,741,548,155,
289,744,381,668,513,977,859,732,748,726,780,172,003,701,721,507,334,120,605,
570,631,608,079,205,428,946,103,985,937,795,885,576,844,536,307,831,526,063,
622,529,575,113,469,196,779,060,345,624,921,791,541,387,316,093,886,919,327,
610,031,707,933,180,558,806,967,145,876,029,285,360,393,947,818,353,615,058,
592,639,025,601,410,135,606,581,686,670,080,002,801,907,626,496,740,332,074,
771,712,979,609,492,882,093,418,137,289,770,397,716,934,077,385,374,471,399,
717,581,545,767,019,246,660,165,295,771,634,845,851,536,822,463,943,264,520,
649,474,084,565,536,652,611,617,119,940,558,012,590,203,945,852,339,034,924,
624,451,095,705,854,198,351,073,944,299,752,434,602,168,167,888,703,449,790,
881,302,249,880,998,818,423,259,133,470,376,874,232,433,693,926,222,766,783,
774,232,381,571,235,440,778,446,347,344,148,563,315,851,922,402,253,361,395,
764,588,265,254,292,314,668,410,311,482,957,994,043,246,905,477,365,717,173,
888,243,441,803,779,875,634,497,434,571,943,991,945,185,472,159,544,371,236,
932,298,014,350,893,103,141,171,261,531,356,036,809,833,476,335,272,375,139,
985,047,535,391,426,745,104,786,679,223,627,641,074,526,130,954,757,367,016,
410,987,916,112,535,405,713,958,429,306,360,899,472,175,039,814,419,324,990,
262,066,012,034,122,518,262,924,555,752,567,011,230,606,454,546,966,353,222,
349,625,050,465,309,215,980,649,895,783,638,264,479,304,873,706,606,242,961,
740,020,169,495,198,700,311,885,884,003,338,865,165,530,688,967,036,572,266,
117,340,815,329,406,511,395,777,853,887,182,083,044,777,281,453,841,042,508,
538,250,935,549,339,859,875,085,653,282,410,166,765,262,278,599,228,824,992,
675,352,113,701,186,572,782,913,193,595,666,872,253,422,145,168,996,098,266,
885,946,077,947,077,418,615,812,858,589,777,050,028,848,920,584,206,158,829,
414,476,662,075,963,679,972,839,232,513,282,502,535,357,990,941,410,765,268,
209,993,486,483,441,793,341,986,237,721,334,503,314,877,796,439,456,301,340,
594,193,309,880,713,963,441,580,671,293,365,690,643,537,808,664,674,795,489,
420,551,387,910,775,818,053,584,551,966,111,569,135,633,581,825,453,420,367,
869,651,620,643,181,807,069,564,828,872,437,255,334,575,626,371,086,828,955,
304,088,594,032,517,442,551,922,132,790,350,518,051,928,817,730,387,608,954,
208,183,910,308,750,023,944,267,007,509,408,569,149,095,459,345,406,974,864,
154,300,472,425,369,290,901,324,392,113,508,563,704,685,266,169,717,403,511,
656,731,235,665,924,601,830,721,351,686,036,523,444,104,585,131,594,021,803,
935,911,944,234,408,832,375,743,151,719,744,187,623,904,632,766,576,603,268,
399,560,107,429,908,693,419,131,067,902,029,261,278,874,787,596,568,513,052,
213,584,332,182,347,327,461,205,124,342,585,929,702,870,324,924,530,424,215,
173,986,820,031,134,565,552,827,463,980,348,660,820,537,692,790,132,603,921,
276,630,173,243,327,350,814,115,965,188,798,478,503,877,385,512,811,359,029,
471,202,138,157,568,886,397,466,160,911,641,319,769,849,151,202,585,672,003,
685,087,291,663,038,348,767,473,017,196,201,543,570,310,452,478,198,836,665,
589,210,447,725,167,883,312,351,608,437,564,080,180,266,794,777,340,208,458,
662,485,318,763,030,055,931,701,301,303,273,880,631,690,040,070,872,692,896,
688,988,355,538,809,352,564,150,762,688,929,609,741,902,481,856,848,340,322,
175,535,905,926,966,713,245,017,391,722,593,395,813,906,162,993,160,603,717,
493,063,236,198,037,323,104,761,027,940,436,784,633,197,100,339,558,535,151,
837,373,247,926,664,060,717,199,823,219,660,622,677,301,777,245,212,005,500,
844,270,902,136,939,070,811,523,763,611,463,703,015,845,491,264,812,106,996,
458,912,465,131,672,997,359,514,326,825,876,150,469,167,444,033,578,837,077,
030,476,670,211,409,817,261,675,893,831,782,615,951,426,485,720,575,242,977,
342,124,259,713,031,460,561,602,502,812,220,987,367,179,525,396,019,645,078,
608,341,767,520,785,699,051,505,939,137,698,696,044,767,169,926,816,690,991,
443,142,302,134,007,401,844,198,627,829,405,623,907,636,051,373,925,172,654,
436,834,879,093,379,330,632,998,244,900,661,742,846,784,326,318,326,635,165,
708,353,860,771,309,414,147,400,039,563,175,653,384,182,995,457,329,030,904,
192,744,765,474,492,391,903,601,095,768,575,551,110,101,971,186,612,294,053,
323,321,870,948,625,608,319,050,561,568,270,145,509,515,883,712,199,860,955,
376,807,381,407,885,010,152,099,160,801,227,985,036,260,845,922,624,214,269,
315,184,042,310,856,645,411,130,914,571,712,788,221,805,491,461,824,414,654,
470,954,301,031,629,104,766,924,399,211,248,882,275,035,375,980,388,824,791,
617,357,755,659,832,719,599,081,770,548,544,362,022,051,779,078,020,920,534,
492,226,018,256,268,218,219,658,402,425,097,123,671,825,441,520,497,461,496,
938,083,171,772,215,876,122,891,643,363,910,741,235,857,634,621,325,234,798,
599,629,508,038,612,818,999,717,167,948,450,026,188,036,847,481,260,751,128,
832,709,368,041,151,502,428,184,806,132,268,067,733,446,449,914,514,858,603,
422,303,589,345,239,093,113,768,386,080,824,324,501,549,886,724,882,657,767,
762,700,191,304,676,485,216,271,767,398,369,874,581,138,766,925,241,672,966,
998,279,643,064,692,979,076,081,549,172,302,746,120,996,595,239,525,061,870,
175,188,274,987,926,434,425,741,044,817,992,784,468,356,860,888,402,933,681,
626,040,921,038,202,154,767,196,306,361,435,240,397,725,812,945,852,916,715,
801,723,624,369,508,641,520,518,391,497,247,251,594,106,829,025,335,509,836,
633,477,636,435,575,969,514,140,487,418,433,274,239,961,320,628,599,407,369,
959,824,651,846,776,197,841,306,980,931,287,781,419,548,686,609,357,987,112,
055,343,293,709,093,012,220,002,202,925,890,548,157,323,416,842,002,804,617,
040,378,724,553,815,464,183,015,687,303,799,486,546,850,977,817,182,723,852,
108,386,546,122,887,535,470,230,195,898,346,242,975,065,825,712,270,129,961,
074,362,687,109,081,299,943,115,244,151,729,036,990,428,446,283,183,139,157,
557,715,717,880,357,580,094,418,219,986,015,039,718,743,439,499,513,400,428,
186,508,624,301,875,819,368,324,435,102,015,137,344,451,299,593,008,373,323,
619,979,876,664,262,750,723,138,977,067,583,368,002,477,954,504,439,224,079,
208,092,478,673,028,624,541,663,255,736,315,065,032,692,788,433,422,067,191,
529,030,496,915,767,797,940,315,296,585,478,034,877,147,306,656,437,075,250,
404,198,109,061,903,182,625,295,823,264,760,486,123,798,259,076,533,329,814,
749,332,284,092,080,754,876,730,185,062,953,543,039,244,263,426,635,759,920,
073,183,745,792,055,913,051,381,682,872,553,507,446,861,498,483,427,369,569,
951,209,750,061,379,911,476,265,792,189,025,074,384,068,438,080,605,169,807,
594,246,041,181,865,007,711,672,055,910,929,514,100,842,222,060,871,363,219,
127,141,835,380,409,817,381,109,089,044,413,390,897,047,642,866,649,265,216,
103,000,578,189,040,228,599,507,133,201,663,360,590,161,560,016,159,197,453,
334,637,782,551,784,823,242,852,979,273,810,439,025,442,810,370,700,571,785,
049,474,313,478,605,900,163,413,470,356,064,197,313,803,943,491,555,066,066,
665,850,413,320,275,427,767,603,529,800,385,579,401,127,206,983,352,869,714,
866,796,837,788,809,062,808,210,796,760,844,678,059,836,342,318,750,173,779,
885,996,541,760,487,761,238,960,303,839,418,324,042,918,970,020,187,790,236,
530,024,793,087,962,447,759,559,491,717,787,231,766,443,305,009,452,366,666,
189,777,945,286,678,829,472,747,328,757,128,418,534,696,577,187,291,341,197,
201,058,442,772,816,215,983,332,023,654,125,966,816,855,229,349,516,566,747,
682,747,048,457,691,399,282,113,939,557,116,874,889,712,572,675,632,553,247,
822,818,560,489,312,516,102,991,421,609,296,585,576,783,346,605,220,595,170,
874,016,452,402,136,799,272,297,345,155,987,067,517,113,814,556,974,586,128,
339,649,429,303,136,307,460,004,880,862,296,163,341,986,043,085,007,634,797,
776,090,226,346,008,737,288,853,291,508,995,699,989,699,218,899,357,752,441,
242,269,550,626,415,616,368,159,212,351,808,326,039,376,825,722,300,552,000,
317,482,311,635,177,050,400,275,907,948,824,030,276,325,987,695,425,249,369,
287,714,087,842,822,913,948,958,022,556,383,690,883,294,125,169,045,508,750,
755,167,387,583,850,541,712,387,129,231,565,540,307,024,206,279,546,681,659,
651,878,428,525,537,764,238,736,555,675,224,905,967,827,588,073,460,491,142,
910,819,151,441,062,259,419,353,870,637,776,609,139,792,740,096,406,948,755,
268,608,378,134,303,519,511,313,706,857,968,566,774,141,463,320,071,436,182,
195,048,583,582,058,655,238,821,889,899,596,820,614,711,321,538,461,113,325,
387,270,787,727,388,483,701,745,283,921,826,740,569,221,959,569,615,461,602,
499,579,360,195,594,494,965,445,456,585,324,233,044,882,573,045,086,676,518,
348,077,310,242,073,789,779,932,108,748,267,420,371,652,932,126,436,355,825,
454,677,263,539,265,395,906,457,084,820,831,878,604,959,139,488,856,678,369,
387,608,645,088,305,928,952,550,797,628,459,126,948,865,179,415,652,750,771,
394,113,428,203,780,389,464,993,215,644,854,899,276,678,096,091,825,168,739,
942,936,959,564,422,072,358,988,165,180,386,165,791,581,436,976,165,926,887,
124,190,026,763,560,524,584,658,388,176,605,228,979,787,551,920,660,292,930,
135,035,529,417,169,306,228,632,019,252,421,526,941,306,814,570,968,427,562,
791,115,777,576,860,634,715,595,026,400,947,370,862,589,945,372,839,559,978,
775,718,296,855,167,363,416,960,083,510,046,370,208,961,920,529,373,532,262,
612,639,022,447,475,035,242,126,006,723,683,751,561,611,299,060,752,915,642,
102,443,103,557,890,937,841,678,097,531,877,817,198,020,312,566,125,204,336,
393,534,983,987,031,662,331,909,698,079,467,878,786,331,585,280,765,132,458,
240,797,654,286,353,536,797,339,168,704,312,562,448,674,402,354,495,487,492,
991,923,828,322,945,520,302,931,455,688,002,337,003,777,377,973,213,622,942,
007,313,541,277,311,517,112,315,018,366,718,141,072,584,375,610,862,235,967,
070,262,496,371,487,536,809,066,179,836,881,144,815,217,958,783,016,508,901,
653,843,335,107,041,594,689,346,659,265,630,108,342,308,116,376,320,702,276,
499,675,994,109,077,512,559,525,401,106,754,167,247,474,683,845,020,690,587,
393,776,173,622,512,558,811,392,176,977,677,572,114,256,498,375,266,996,460,
227,009,401,943,120,194,849,252,203,520,593,722,541,280,530,382,169,994,890,
692,043,609,609,635,850,742,959,287,496,627,656,707,285,362,109,479,526,742,
894,330,316,302,508,315,770,640,403,193,267,620,795,281,450,070,115,684,517,
875,255,994,773,367,767,572,335,959,752,487,321,378,078,316,353,637,459,206,
511,063,857,592,222,841,109,978,828,692,436,759,612,328,129,613,353,164,984,
621,976,443,392,974,550,033,594,594,214,035,207,537,360,473,388,932,412,564,
639,343,259,658,680,788,707,857,354,270,436,827,504,323,442,343,112,653,276,
373,846,412,275,402,914,332,325,051,310,652,215,488,980,526,882,381,135,371,
394,218,189,858,834,092,023,368,226,224,183,632,859,037,328,609,551,564,532,
409,481,521,289,765,265,704,121,246,435,106,855,957,142,671,571,662,404,678,
209,275,623,343,699,272,982,553,064,074,128,924,646,372,934,263,038,709,145,
925,615,171,496,497,983,797,717,612,049,388,640,382,179,738,036,007,220,710,
859,861,781,397,002,833,353,626,090,329,402,561,523,395,202,502,583,631,046,
363,695,637,063,553,576,497,079,424,775,732,409,766,629,468,836,585,700,940,
372,050,831,499,708,507,282,054,617,843,814,861,759,535,284,335,349,180,767,
995,428,954,077,852,298,334,413,107,314,953,368,620,137,087,596,639,458,000,
816,198,912,650,063,010,871,555,387,620,721,710,355,741,801,257,446,326,781,
129,546,471,845,022,061,122,993,897,694,586,121,944,111,942,712,537,953,741,
457,091,465,873,990,310,020,558,444,385,316,317,243,804,888,935,962,899,851,
584,001,883,502,015,730,475,936,556,561,999,353,588,575,290,195,071,347,226,
135,720,446,566,844,970,452,077,987,731,383,685,288,765,453,139,449,090,260,
337,836,319,470,997,795,519,881,451,056,180,664,219,448,582,081,056,507,263,
293,046,448,622,573,035,198,117,884,650,473,138,474,287,347,649,171,662,920,
922,736,197,208,112,443,780,993,013,905,619,205,278,765,232,152,296,429,669,
561,356,200,487,990,452,025,435,586,896,852,448,868,220,983,877,039,544,269,
573,914,075,973,707,830,557,006,546,706,885,671,778,959,875,470,820,574,508,
825,951,569,191,919,075,953,835,150,926,185,509,623,354,222,847,501,501,762,
594,977,810,390,418,364,947,342,951,474,265,552,446,659,933,005,153,497,173,
151,953,720,542,233,920,600,595,297,877,815,210,254,948,521,608,216,867,374,
365,981,878,075,019,891,019,681,453,995,408,407,450,294,802,794,216,749,512,
080,727,682,304,645,694,449,970,294,497,036,983,905,721,396,732,868,233,925,
825,883,973,967,994,298,368,504,609,501,268,882,821,437,861,875,309,929,879,
626,429,234,902,354,471,132,974,612,343,814,264,171,462,390,207,116,502,690,
065,543,832,860,025,438,477,599,499,035,607,844,135,690,445,758,466,260,299,
750,150,019,536,273,741,876,311,736,339,683,036,389,930,088,094,203,709,219,
033,075,922,424,722,907,129,917,183,664,445,356,747,918,172,960,721,971,769,
524,953,361,224,285,028,866,199,900,341,139,332,693,664,745,609,376,349,688,
802,907,542,034,261,171,556,201,171,113,258,800,288,319,210,940,386,224,054,
214,000,903,753,840,157,794,397,148,492,035,501,896,483,102,715,058,940,679,
415,362,033,967,265,182,073,881,379,015,365,249,192,512,026,389,574,454,505,
967,886,862,736,300,545,863,214,848,497,093,698,121,393,519,315,621,141,980,
787,865,450,072,320,133,925,271,969,405,576,968,800,467,893,113,467,293,310,
213,553,720,392,640,767,938,276,020,947,753,651,353,353,719,723,140,627,572,
081,895,759,232,063,189,160,739,836,558,924,216,915,012,862,383,006,510,916,
064,837,571,779,721,971,996,538,336,003,308,058,831,313,169,532,521,413,336,
250,100,291,527,639,718,592,285,814,754,039,341,593,105,319,140,628,449,209,
763,604,816,832,471,382,913,939,307,596,564,150,869,185,909,205,711,683,394,
858,029,522,989,420,144,412,763,663,002,667,363,263,330,658,281,574,302,345,
437,704,929,933,660,440,831,754,740,289,348,763,430,229,931,903,321,004,354,
421,519,709,881,716,527,961,354,114,489,479,206,046,641,827,586,528,789,064,
681,847,665,838,946,472,535,852,793,714,840,794,599,742,509,510,800,080,150,
716,031,004,077,545,612,770,949,750,042,099,061,996,290,519,825,239,714,935,
905,549,669,327,672,229,251,163,869,516,269,408,889,948,121,537,681,283,821,
713,436,080,660,042,790,268,339,867,939,711,606,759,243,717,218,187,137,500,
988,870,240,620,551,435,166,621,019,161,250,511,902,173,648,192,877,563,206,
830,308,726,511,147,625,890,701,093,506,539,773,448,649,493,633,033,808,913,
267,200,807,831,187,361,622,598,807,946,697,712,211,482,411,944,747,904,435,
374,615,852,248,325,582,656,462,493,824,080,333,770,994,407,167,703,716,830,
316,200,394,963,046,142,021,274,917,845,834,405,461,362,499,265,995,010,075,
961,426,454,528,389,718,232,196,699,273,476,720,916,530,539,019,970,577,289,
080,472,581,271,917,794,212,640,212,524,443,959,517,393,646,639,047,693,112,
292,854,121,052,887,411,327,610,526,916,035,114,658,087,448,371,424,974,649,
421,025,407,304,066,545,060,674,193,980,595,326,439,543,630,637,586,204,638,
154,235,857,634,699,093,523,424,031,751,963,869,048,351,297,612,022,939,156,
244,608,444,840,462,036,294,516,903,346,164,710,017,873,730,137,376,882,551,
402,051,005,437,973,726,351,522,473,302,308,893,320,502,212,425,056,018,584,
606,345,244,376,721,209,452,307,240,420,800,584,462,006,560,716,694,114,710,
229,256,567,702,735,314,425,912,947,899,731,914,991,680,279,122,685,966,061,
588,874,591,459,018,329,447,151,985,924,012,644,819,647,792,637,008,805,299,
109,661,558,203,797,111,211,969,912,224,842,620,145,128,809,170,163,321,932,
667,319,289,507,393,653,452,164,747,965,841,054,088,567,823,795,768,198,283,
014,262,295,951,712,847,532,751,483,497,390,839,258,705,655,725,783,953,013,
715,897,059,070,969,483,086,223,210,719,780,849,238,810,037,946,686,590,324,
407,703,705,911,854,038,872,579,384,791,022,244,107,192,789,396,842,627,099,
370,303,117,301,520,542,003,664,307,016,080,006,640,433,276,292,489,908,179,
982,383,411,304,204,009,934,645,429,272,605,672,055,694,311,401,238,101,136,
862,565,945,134,417,122,747,261,043,213,344,993,725,015,839,475,826,655,471,
103,130,199,675,162,364,469,050,072,457,519,232,422,321,313,894,939,378,785,
112,267,649,983,113,012,270,088,983,711,440,116,558,556,329,088,963,443,182,
463,304,628,192,749,822,334,802,723,720,328,001,173,113,871,316,791,120,201,
303,525,806,918,400,923,313,059,312,020,683,252,687,272,984,360,066,401,284,
550,347,564,876,286,136,548,281,707,267,555,917,467,212,258,681,093,802,445,
188,033,329,231,557,423,902,717,229,010,691,885,721,064,637,350,708,176,974,
691,094,053,246,756,405,910,457,165,593,910,398,879,474,321,453,628,157,629,
957,979,474,761,689,633,423,270,780,892,876,833,160,646,735,332,096,105,163,
084,562,084,574,672,772,033,212,588,886,491,945,367,432,958,855,342,774,072,
612,206,889,659,465,523,243,021,107,735,935,768,680,803,466,490,392,798,667,
972,011,577,220,634,384,592,007,205,263,212,608,906,672,698,863,601,859,065,
998,916,110,503,438,572,105,171,005,225,224,688,622,855,749,074,625,274,523,
963,492,468,240,321,765,808,377,576,135,507,633,835,404,798,304,155,637,489,
466,713,951,046,731,527,455,338,511,664,622,613,789,636,835,561,270,295,239,
956,909,833,568,573,124,868,925,056,941,548,306,762,568,602,486,760,522,257,
466,423,924,919,114,191,246,087,324,524,987,495,029,740,090,029,094,884,664,
338,360,717,382,440,128,841,015,941,943,499,222,768,646,537,517,346,593,590,
194,802,846,142,137,905,136,080,402,170,362,564,343,746,493,845,794,733,334,
258,381,789,970,471,749,671,336,109,064,396,470,618,277,045,320,419,075,014,
417,673,727,203,741,307,095,664,690,685,773,172,916,889,125,859,135,866,143,
516,094,844,308,190,960,217,034,703,612,890,976,272,197,679,700,183,069,634,
250,057,187,895,716,891,072,700,202,613,531,254,035,749,545,738,892,358,217,
463,090,089,338,977,205,736,398,105,344,884,727,031,740,761,496,928,380,529,
014,496,455,323,622,487,094,413,774,230,096,615,562,405,408,334,733,295,084,
989,843,323,962,909,095,098,744,268,258,753,723,920,645,487,761,237,521,176,
365,409,270,826,722,496,816,262,197,312,280,625,680,243,923,050,455,858,304,
678,987,718,565,834,763,259,451,366,270,027,547,023,015,734,643,126,692,362,
169,435,608,078,599,905,925,410,354,193,879,096,135,067,184,820,494,363,790,
395,555,552,587,995,918,312,378,196,473,992,213,440,044,347,451,500,602,567,
306,771,922,535,154,234,789,547,214,923,491,463,191,961,430,475,933,213,216,
142,333,098,094,618,277,996,655,880,338,835,728,581,119,450,990,355,244,224,
905,204,218,193,925,837,024,039,151,072,660,783,076,669,649,481,668,532,197,
227,721,628,446,667,539,581,584,991,976,957,290,228,274,048,151,905,129,168,
787,680,526,574,375,788,941,846,771,938,148,557,339,927,485,452,465,333,221,
279,787,278,559,043,535,656,907,284,141,395,011,647,422,236,145,154,781,766,
102,862,051,052,916,094,236,347,568,963,086,003,561,187,768,751,825,609,384,
099,406,509,159,065,252,322,878,075,892,740,682,695,378,731,821,326,796,294,
427,680,173,926,243,957,902,141,892,445,644,003,066,234,579,262,471,527,121,
157,320,199,283,497,700,459,249,804,093,859,701,823,206,714,746,459,913,186,
579,655,062,159,215,685,634,164,952,668,052,708,426,396,734,904,046,284,367,
267,527,760,641,060,496,090,957,742,360,285,539,522,747,288,972,517,671,911,
814,248,584,099,520,192,284,756,136,833,634,196,474,273,579,832,799,446,033,
121,966,314,608,829,512,532,940,216,260,875,693,357,392,863,345,450,513,192,
634,507,057,659,083,726,338,658,284,698,080,909,706,409,393,003,504,717,765,
610,751,062,199,327,624,993,126,241,224,914,146,859,477,863,348,715,028,691,
818,937,904,358,364,348,072,506,468,786,299,967,307,870,575,912,375,629,643,
269,833,117,757,109,169,784,583,977,877,700,884,865,221,141,423,646,236,496,
101,931,428,979,735,110,975,351,424,247,686,317,470,479,108,904,481,558,993,
714,705,408,409,768,698,893,309,460,586,501,062,950,880,284,368,872,812,942,
233,106,689,807,468,145,312,861,349,285,259,529,470,864,835,862,089,947,346,
442,071,353,404,505,706,178,699,972,789,775,294,243,149,177,822,501,912,052,
854,905,674,998,365,570,771,014,541,606,667,856,473,140,103,910,980,866,617,
624,254,655,637,183,153,694,590,140,772,974,976,422,971,037,974,877,033,461,
540,066,902,287,607,818,292,541,109,760,808,266,414,514,901,975,354,725,743,
359,142,254,150,444,373,014,020,220,775,383,054,994,197,774,974,779,379,987,
990,215,782,458,239,183,133,212,072,596,207,854,217,916,638,500,145,421,829,
843,233,851,355,259,712,659,931,860,981,198,199,412,839,442,470,078,966,832,
800,512,665,830,266,382,478,465,572,628,580,937,660,845,714,493,521,518,741,
345,537,353,838,464,220,393,329,670,507,329,208,600,823,506,747,870,237,554,
822,328,988,562,896,332,569,549,923,892,610,465,984,604,025,040,542,760,539,
241,141,997,162,833,927,626,641,484,672,729,762,912,566,961,797,209,917,017,
816,497,750,034,034,966,040,256,333,522,065,522,188,175,067,386,275,140,051,
916,715,633,019,832,570,387,467,162,753,574,455,523,628,177,793,655,331,573,
200,179,403,584,083,282,432,431,748,479,034,597,429,948,818,239,962,634,440,
405,397,328,986,193,209,917,588,356,271,686,423,581,774,837,740,315,036,242,
087,299,234,858,052,774,843,569,313,164,063,795,125,973,875,860,109,390,285,
741,424,472,860,601,944,386,186,557,267,275,117,010,921,713,477,149,179,309,
258,187,621,455,908,851,714,050,984,371,964,949,843,329,271,577,374,949,147,
892,977,905,744,275,899,002,613,751,265,506,050,227,028,736,034,024,521,973,
910,568,302,771,052,681,709,503,582,135,171,004,128,016,312,996,594,613,836,
095,887,680,149,091,982,486,816,439,848,364,502,801,949,236,927,380,558,546,
454,834,622,252,368,320,825,133,669,171,004,668,856,846,743,723,413,437,186,
531,898,009,548,767,752,000,153,461,660,676,598,851,829,028,610,900,506,281,
776,364,780,520,269,278,323,451,202,356,572,218,086,692,249,926,279,918,597,
951,042,304,731,722,120,747,961,912,561,933,505,413,158,874,781,460,491,645,
560,447,726,482,063,921,483,586,191,068,468,450,021,557,530,034,727,258,848,
889,548,064,546,450,695,529,196,118,286,290,282,237,356,158,572,591,926,832,
589,921,697,678,761,532,227,573,592,627,794,453,646,868,030,855,990,735,032,
201,701,678,916,505,237,168,482,825,531,431,934,112,242,376,945,309,699,243,
170,778,696,219,127,630,195,918,823,901,657,778,972,713,212,017,394,318,097,
921,915,539,245,291,913,355,255,766,874,860,492,761,494,524,449,779,918,540,
397,944,766,397,573,878,743,014,427,610,505,239,036,004,949,361,949,625,088,
726,386,363,056,265,992,504,729,144,939,277,109,338,881,270,041,544,433,291,
536,271,760,387,195,476,363,947,597,576,380,699,785,660,685,265,256,152,574,
816,117,971,793,457,763,894,905,300,715,099,008,443,018,130,211,919,966,101,
030,081,702,650,771,835,377,808,957,372,824,080,085,231,016,333,592,759,041,
420,468,622,771,727,253,405,752,093,564,663,729,924,692,255,576,747,734,747,
880,280,349,540,848,045,718,756,308,782,439,262,170,215,072,619,722,103,755,
977,000,507,243,767,891,197,128,428,753,236,418,117,712,602,832,764,217,173,
527,040,466,733,964,153,051,435,900,744,317,085,619,077,549,522,538,947,762,
458,334,069,043,201,546,336,066,202,619,629,528,456,295,888,460,710,096,119,
618,502,207,204,463,328,825,688,665,707,417,189,594,313,022,523,215,025,549,
233,529,450,991,595,679,543,070,292,265,841,471,805,055,616,091,164,003,844,
124,415,044,068,980,541,128,322,735,097,727,255,277,901,173,107,585,869,636,
019,966,222,231,604,150,793,622,247,437,009,707,442,997,406,511,018,229,775,
554,033,495,139,794,819,254,088,460,706,217,799,114,552,444,402,128,316,743,
839,295,186,553,971,523,826,830,448,392,228,039,447,789,496,471,155,492,181,
564,192,307,214,348,102,996,394,545,552,546,218,019,068,448,857,294,977,143,
381,535,203,892,421,980,938,564,913,739,487,936,973,736,031,575,390,412,482,
195,095,326,365,682,431,985,486,907,132,482,138,164,676,802,559,260,573,237,
060,069,410,651,984,012,492,304,078,044,508,360,407,776,204,070,385,562,912,
263,214,101,029,694,791,379,090,377,075,613,033,429,904,570,674,017,564,105,
281,468,556,073,074,290,912,921,501,738,150,859,139,047,232,170,150,030,842,
691,105,967,995,499,381,715,889,687,913,837,877,847,987,536,614,806,117,996,
428,791,751,582,983,142,639,638,564,460,948,585,550,170,088,587,927,054,131,
994,118,931,214,876,476,475,071,652,610,271,164,813,252,873,818,465,748,847,
908,623,027,502,525,688,495,215,766,657,788,888,769,273,251,428,740,413,325,
578,107,490,081,254,280,182,238,861,850,000,856,202,175,621,009,207,347,930,
619,230,032,521,057,447,088,763,262,339,273,511,199,568,303,741,186,354,288,
620,537,681,696,264,281,467,719,985,221,970,686,019,292,649,151,893,997,497,
498,981,185,978,606,459,116,947,975,507,598,473,865,866,272,778,830,210,585,
034,768,382,593,427,751,166,524,950,342,611,197,057,921,310,128,000,597,925,
811,499,069,824,667,478,495,717,238,576,084,286,367,583,231,712,988,131,749,
533,244,933,916,672,829,935,004,098,432,439,464,868,791,402,833,659,820,132,
871,703,572,872,368,487,997,377,660,084,272,138,510,347,365,796,664,964,032,
995,626,801,183,049,603,360,092,341,826,701,010,760,751,238,524,722,466,004,
623,933,662,329,145,578,865,582,282,147,968,672,371,054,685,437,576,158,387,
603,984,534,631,178,526,998,809,944,089,064,842,958,469,895,157,403,009,811,
397,802,083,113,539,141,028,517,792,991,099,668,558,978,612,233,702,646,861,
983,989,574,301,239,374,680,215,797,330,824,267,953,247,029,229,160,153,072,
548,081,569,393,773,963,233,493,002,853,989,573,892,817,036,603,484,741,276,
348,474,879,885,543,843,422,418,417,824,417,687,176,350,798,426,683,531,712,
095,702,715,329,583,591,847,960,808,591,070,622,006,573,567,623,936,782,292,
576,257,583,883,894,705,242,972,047,857,644,033,151,788,250,053,418,887,593,
242,918,227,486,268,834,286,637,021,487,573,302,069,933,895,970,125,112,107,
049,396,734,334,912,366,095,850,496,107,999,019,821,247,753,359,744,858,162,
182,853,728,687,119,349,361,866,305,906,274,100,117,444,836,129,040,508,502,
671,725,921,433,781,287,528,462,005,702,134,394,669,302,405,835,969,043,117,
752,210,944,449,737,536,640,223,287,811,525,199,035,900,234,961,200,764,128,
912,372,544,885,594,521,099,200,460,968,754,403,844,479,001,002,502,607,204,
249,990,166,645,427,867,375,010,778,212,369,669,921,111,818,897,470,481,427,
189,267,843,335,479,095,952,067,373,475,446,878,596,014,600,985,886,825,955,
511,399,379,427,395,656,677,287,461,986,570,820,094,688,746,357,140,836,103,
408,579,799,521,686,809,952,601,290,690,713,970,666,492,199,602,548,545,398,
419,863,032,443,601,627,755,527,145,955,985,098,027,297,267,450,794,935,707,
091,723,129,763,252,977,857,655,184,179,804,955,618,690,535,776,523,211,346,
834,443,072,467,864,305,413,080,046,179,076,299,154,204,094,368,109,237,961,
634,576,508,603,951,888,020,615,741,588,484,052,036,108,004,555,959,887,626,
381,481,448,516,972,497,134,399,499,048,819,158,660,521,629,427,659,229,640,
776,546,181,673,624,298,073,737,547,519,555,431,010,908,110,275,481,385,257,
414,824,431,785,775,600,206,987,808,713,684,809,094,972,399,297,515,609,692,
765,191,328,957,418,972,695,364,841,867,481,302,681,705,652,180,961,024,353,
847,936,984,348,380,790,601,284,078,425,323,311,987,287,379,347,327,066,379,
265,434,893,120,783,280,077,767,890,248,678,322,101,111,071,081,708,899,452,
924,303,258,174,295,680,686,253,951,134,796,055,866,068,639,866,535,497,688,
691,935,009,374,941,722,288,747,576,059,225,507,950,004,131,431,693,059,141,
618,881,623,114,727,983,802,862,507,392,622,864,823,977,028,167,571,939,182,
014,702,572,589,772,949,521,241,329,932,732,161,286,321,219,812,608,947,399,
867,832,453,099,202,468,243,757,197,862,884,170,152,045,788,078,683,766,460,
005,276,623,640,799,623,923,776,458,870,275,665,587,089,837,241,780,120,940,
696,243,565,612,428,715,164,633,069,376,041,132,967,799,319,135,489,586,647,
561,732,315,711,245,755,668,448,328,079,154,162,569,469,530,444,939,325,160,
362,795,047,196,453,678,677,701,045,343,856,131,272,739,967,417,194,319,211,
704,709,748,652,945,094,762,429,649,939,401,255,295,163,585,707,173,964,188,
094,604,305,413,097,337,615,313,003,840,422,581,079,387,022,158,652,989,122,
026,445,813,625,555,928,723,226,385,323,250,301,884,205,877,969,810,153,037,
244,786,026,164,377,304,824,103,421,839,305,186,150,254,147,647,882,357,586,
841,919,187,366,208,273,448,449,271,101,389,997,940,323,819,676,361,013,002,
691,289,636,677,789,220,445,164,162,336,271,314,289,720,124,501,498,671,085,
233,284,427,871,385,443,887,369,955,779,291,717,100,411,612,000,822,578,244,
275,230,931,506,738,828,715,081,332,987,070,327,113,405,067,154,552,796,117,
527,329,637,011,337,622,893,893,467,420,961,574,516,793,994,710,912,351,549,
380,060,311,556,034,353,051,772,205,691,940,076,496,542,710,235,003,249,529,
081,494,372,902,682,944,574,616,119,393,332,066,995,026,123,537,676,921,809,
825,047,028,912,997,027,458,003,176,182,815,886,332,474,908,683,106,169,488,
009,805,486,738,988,612,779,414,813,226,713,090,287,109,130,237,557,497,977,
306,092,919,444,610,717,045,852,655,754,532,277,169,910,867,894,087,933,816,
315,118,955,917,368,110,421,178,151,024,437,140,149,254,626,092,701,841,200,
326,916,254,556,224,439,065,382,719,422,687,933,221,701,924,877,063,425,794,
458,244,857,077,373,359,039,670,374,889,205,994,810,484,954,758,452,752,980,
513,835,458,775,863,331,621,583,843,216,133,097,098,417,359,417,315,724,570,
826,144,559,390,900,259,290,495,317,363,502,931,161,359,518,540,909,852,755,
858,093,926,984,066,872,341,211,074,937,284,449,701,714,644,418,130,264,973,
169,748,974,851,342,461,137,111,779,341,614,596,505,926,656,923,046,376,365,
272,701,582,021,998,516,463,416,403,301,419,843,498,298,395,770,742,202,565,
693,988,114,671,632,499,948,494,855,071,985,067,949,193,696,932,566,122,314,
352,108,130,983,244,376,396,334,040,553,464,825,501,836,526,253,701,586,998,
242,479,295,599,409,609,030,895,501,533,566,118,342,990,858,194,427,312,680,
442,523,418,239,293,521,829,203,727,235,726,408,993,990,440,243,974,518,484,
312,748,499,745,495,992,372,496,256,947,494,749,637,837,965,221,982,846,303,
390,093,344,771,222,950,281,066,009,967,583,288,960,857,262,316,639,302,413,
633,238,787,032,718,697,565,485,381,731,543,509,011,164,690,151,020,415,584,
795,381,976,463,783,119,772,512,309,105,293,462,868,295,703,750,703,509,034,
792,091,004,904,550,086,814,510,070,387,019,969,029,478,309,812,925,291,929,
016,043,395,345,474,179,395,840,275,496,079,472,135,179,294,266,777,598,381,
161,580,448,540,656,394,739,167,605,821,005,084,654,637,970,431,939,448,940,
424,627,374,043,088,828,195,976,800,947,355,822,470,654,272,418,385,661,996,
165,617,688,002,875,184,102,547,733,379,719,381,992,618,277,432,656,670,976,
543,663,175,559,103,650,070,251,676,529,083,920,461,987,656,488,734,508,618,
760,326,793,936,733,148,224,827,858,372,103,903,459,857,328,602,864,042,552,
579,332,368,459,390,705,085,576,960,921,415,834,205,578,246,096,219,003,577,
689,401,871,183,827,997,293,384,862,679,075,687,443,573,208,844,531,491,983,
392,148,594,981,061,983,374,478,593,057,500,326,472,382,491,642,446,929,493,
788,517,544,043,918,489,910,178,772,682,887,877,058,477,004,279,106,926,545,
727,263,557,592,605,307,525,589,196,744,892,917,973,651,628,489,364,205,554,
387,036,292,774,766,359,107,219,968,172,103,070,884,274,948,503,050,903,786,
307,813,348,636,581,229,658,549,027,803,883,768,526,793,652,955,341,874,062,
765,839,801,107,659,462,544,946,508,641,735,685,261,370,401,984,059,751,088,
419,936,495,223,594,501,141,418,223,382,134,134,062,880,135,117,989,715,803,
978,533,748,644,861,234,171,657,914,363,809,400,685,743,549,900,959,711,804,
811,852,103,464,573,287,418,269,526,350,143,158,418,611,031,952,995,118,273,
886,488,525,319,633,592,887,734,653,192,201,676,720,638,178,315,232,062,335,
333,634,609,647,220,857,581,995,571,694,629,947,611,124,248,250,395,611,385,
259,368,951,634,571,927,171,904,905,086,493,960,456,549,161,958,498,473,994,
237,730,235,100,551,165,141,671,384,892,892,579,970,614,012,197,424,691,353,
267,839,652,223,056,509,944,802,834,199,823,877,627,250,058,901,678,955,829,
373,567,527,776,789,055,838,701,333,869,252,760,015,291,830,678,788,918,958,
142,330,730,404,228,946,220,132,719,765,091,426,966,607,477,539,098,838,688,
354,097,792,420,122,643,019,753,553,768,402,592,310,387,187,927,744,788,795,
170,397,714,330,236,190,670,038,123,507,943,135,212,126,119,738,612,450,956,
559,168,594,936,283,870,852,916,736,643,970,353,478,826,778,866,710,247,923,
314,335,094,889,638,042,887,001,746,175,303,750,278,964,362,690,773,008,951,
735,852,078,812,527,168,369,774,735,322,607,402,996,995,557,160,213,957,217,
157,710,990,883,769,275,727,363,898,613,539,750,399,493,982,014,251,244,050,
969,838,381,865,397,762,382,882,761,476,672,819,802,729,574,944,536,354,304,
934,856,462,129,892,316,282,400,132,000,057,147,589,873,562,744,870,190,786,
276,023,630,994,822,394,928,993,214,036,040,784,757,424,124,588,962,735,806,
811,035,687,594,117,285,951,234,085,312,378,653,635,714,889,989,940,956,233,
859,246,889,838,407,780,122,135,222,451,208,089,735,016,300,978,453,845,860,
512,168,409,858,517,625,527,743,734,350,189,238,964,305,017,576,962,543,252,
102,497,091,767,719,960,494,607,197,700,098,689,727,108,485,406,457,157,641,
065,892,053,711,144,399,986,363,632,874,179,061,469,524,785,334,145,869,208,
200,188,708,747,284,682,318,706,729,705,654,423,692,061,041,437,310,021,806,
869,766,004,506,870,463,894,084,500,130,135,171,050,616,836,736,827,090,077,
969,850,689,349,351,484,375,425,863,869,397,409,467,283,365,088,136,654,534,
363,033,527,641,338,717,364,776,803,291,475,279,504,958,158,159,799,000,392,
856,678,952,043,738,949,861,269,323,627,746,157,305,862,995,382,572,341,146,
743,883,668,671,856,379,236,357,740,048,962,080,047,520,680,601,179,981,488,
742,512,889,107,548,829,007,624,703,748,000,245,902,320,124,536,347,982,513,
670,588,104,672,571,630,078,161,869,241,829,855,706,109,480,144,472,613,132,
042,967,175,214,293,634,255,282,292,328,974,852,940,980,537,570,718,333,710,
736,243,821,364,956,896,774,716,603,099,371,442,010,740,736,452,857,582,799,
854,559,484,246,929,614,868,758,565,584,230,061,611,590,487,240,336,926,822,
236,951,091,513,187,988,034,165,898,839,393,218,337,624,855,556,909,690,527,
450,642,550,110,023,630,061,834,098,249,402,026,020,520,396,187,777,818,157,
902,321,474,700,523,848,942,407,080,270,629,083,286,404,716,131,608,167,028,
190,328,582,173,509,852,703,739,745,728,919,588,866,792,666,004,956,208,730,
843,416,264,386,281,795,378,547,015,541,248,635,142,597,036,036,275,439,048,
039,267,684,575,508,506,033,774,532,577,508,868,428,887,398,045,411,261,779,
884,696,037,812,790,652,945,634,379,993,679,017,773,793,563,362,573,001,695,
853,939,756,040,018,075,147,373,030,953,784,205,180,529,884,852,307,565,187,
512,112,864,156,029,790,165,709,607,889,881,146,058,281,147,650,570,183,355,
598,101,720,273,831,558,357,556,732,388,154,355,607,621,800,020,151,116,481,
267,160,393,986,792,976,368,254,130,405,848,607,570,620,623,828,188,019,890,
307,502,264,408,572,776,665,954,822,911,426,584,488,660,847,918,268,515,767,
033,650,731,859,010,722,835,743,240,246,757,513,244,430,914,096,896,095,746,
264,100,190,283,111,057,281,812,606,336,231,831,602,437,703,602,340,754,759,
112,993,186,182,711,743,008,503,322,890,656,562,829,653,992,394,575,150,993,
884,247,425,683,839,583,747,412,053,429,347,118,303,622,894,857,985,847,881,
102,217,016,681,076,502,548,499,705,746,939,995,442,782,005,178,660,842,667,
179,657,447,603,748,130,961,364,320,448,465,858,374,450,526,319,144,780,330,
566,809,960,924,213,748,110,179,940,986,059,257,389,280,039,028,377,406,661,
237,977,401,056,806,883,319,554,194,208,878,039,105,695,926,804,252,210,156,
303,489,341,136,093,999,350,576,394,685,793,110,586,531,590,557,012,011,794,
740,176,177,618,357,586,879,960,819,741,900,204,262,101,976,033,221,984,845,
093,638,667,725,639,906,542,334,136,296,913,874,505,581,798,676,137,328,390,
490,451,286,330,082,342,605,012,863,232,442,096,967,023,086,594,457,030,285,
198,213,475,665,310,870,168,140,585,766,796,453,536,835,663,496,820,379,742,
588,451,264,564,216,489,348,855,756,291,801,297,077,603,347,710,925,706,501,
222,850,509,949,781,940,604,774,447,159,904,693,647,155,247,208,290,178,502,
710,112,333,555,798,274,482,409,267,033,571,811,004,969,177,114,970,778,359,
148,794,630,529,234,832,452,849,677,575,438,506,882,491,301,291,315,809,930,
428,629,198,440,568,174,284,213,875,816,106,653,175,869,131,548,277,370,148,
487,869,304,688,051,355,423,137,182,870,773,863,274,112,800,454,342,338,962,
629,321,090,196,721,125,944,750,142,394,812,369,780,264,793,454,811,467,923,
949,732,772,918,024,924,813,516,741,155,158,583,789,694,093,934,572,984,820,
170,258,238,331,861,355,596,818,881,064,463,824,837,980,026,486,229,200,379,
025,470,934,330,237,364,247,401,814,701,481,410,553,912,299,798,416,663,220,
825,637,648,496,276,562,052,946,949,527,728,504,604,270,338,086,914,058,397,
957,943,304,816,642,960,796,921,623,048,606,639,934,330,668,068,356,463,833,
276,215,951,525,298,789,442,313,194,895,029,859,796,526,726,397,534,904,791,
925,503,458,628,683,920,834,147,732,911,556,905,593,585,943,311,220,798,357,
219,101,765,763,841,244,922,928,317,285,609,353,053,565,671,322,873,632,405,
574,064,693,119,313,497,630,238,570,698,027,312,140,755,588,367,924,633,200,
443,306,616,123,316,014,172,883,682,531,799,124,919,198,553,243,679,317,752,
734,574,215,034,694,715,976,923,758,272,538,464,633,740,772,725,187,999,146,
713,237,951,536,316,324,185,021,267,875,126,937,984,449,559,342,845,588,960,
984,283,473,038,126,511,571,434,269,968,973,699,498,002,248,795,862,793,536,
516,283,493,553,137,308,816,605,940,437,847,404,464,018,624,305,455,321,793,
363,343,910,682,965,803,146,418,159,543,015,059,129,599,716,743,646,044,547,
307,693,995,458,757,961,755,293,957,908,587,455,355,349,237,990,947,693,117,
916,165,295,106,465,785,273,647,664,188,456,640,540,622,880,578,869,119,085,
062,781,319,692,771,677,630,708,869,495,402,836,022,670,447,977,077,176,786,
897,606,486,658,190,908,915,756,095,658,636,330,327,430,166,851,069,509,799,
899,352,538,391,552,237,399,558,223,623,518,196,142,350,508,402,274,713,171,
304,976,505,588,391,139,954,827,962,115,897,601,686,578,180,662,054,584,959,
779,150,539,495,234,542,172,765,418,173,709,376,828,108,959,061,717,477,129,
287,576,306,608,811,819,388,763,051,962,311,577,341,674,884,343,377,272,187,
012,876,637,216,552,931,826,981,949,891,427,628,473,950,744,632,519,149,722,
691,353,765,991,465,512,853,361,281,462,063,649,733,989,653,519,447,997,577,
663,129,815,517,641,782,657,831,293,139,278,964,807,723,829,859,698,491,116,
414,572,743,997,267,783,046,709,543,023,550,454,152,580,553,119,338,355,384,
461,984,898,337,919,947,517,524,056,056,502,768,540,217,666,287,833,939,139,
148,644,020,904,456,327,350,660,665,252,584,193,742,058,552,363,372,893,321,
645,094,721,700,342,861,205,349,312,512,076,494,261,358,256,757,941,652,758,
385,223,369,762,347,353,943,957,468,824,898,622,338,360,718,708,063,540,433,
074,060,263,594,799,297,621,660,566,963,551,508,496,520,293,572,712,115,793,
089,605,475,786,380,595,036,369,082,977,590,662,513,137,998,004,909,558,840,
099,568,825,884,242,492,265,992,774,375,735,901,045,601,975,299,567,806,077,
038,143,791,518,636,354,771,560,974,257,758,267,018,956,098,304,775,507,200,
789,900,100,918,640,826,190,306,104,185,104,770,831,392,211,805,609,104,591,
533,622,049,650,966,271,620,989,549,460,998,980,755,276,887,403,278,608,802,
794,444,556,494,291,110,785,376,201,422,687,024,816,390,499,907,100,123,935,
671,181,741,223,830,020,654,648,273,471,972,924,294,965,398,160,075,033,978,
663,118,006,478,026,684,603,199,648,383,648,339,550,594,541,896,023,979,742,
675,898,599,573,042,415,556,303,593,425,067,595,938,081,893,453,781,614,972,
950,123,140,486,397,869,311,021,217,127,510,217,556,588,997,360,883,512,613,
284,447,360,023,721,321,457,806,066,464,525,050,174,441,687,717,813,889,544,
916,495,815,645,642,991,476,113,448,820,940,358,160,450,729,052,516,118,492,
278,669,739,992,974,283,342,685,323,138,564,487,099,180,710,981,993,463,954,
508,432,473,653,793,137,460,127,133,674,114,152,701,524,782,676,403,948,674,
904,304,396,575,649,825,552,181,331,335,930,520,337,761,372,386,978,570,263,
203,662,288,683,124,531,970,159,371,280,059,723,119,499,149,237,864,712,616,
804,369,084,424,436,874,423,604,582,008,204,229,549,259,493,333,562,433,691,
208,808,505,694,246,022,858,101,355,939,872,072,811,746,467,648,357,174,104,
724,371,758,495,361,667,996,781,190,072,173,368,234,055,548,189,172,293,349,
031,268,460,222,910,441,821,476,842,181,268,535,654,353,172,014,976,829,454,
806,574,938,667,653,023,658,571,458,354,040,072,238,638,185,026,066,801,282,
031,062,411,872,071,110,072,304,221,509,459,335,627,840,489,161,159,952,655,
933,829,953,657,268,311,986,525,308,138,238,143,833,842,876,989,442,359,803,
927,832,320,395,760,671,337,952,984,321,929,847,393,480,031,361,500,105,648,
099,342,923,504,430,361,861,570,125,135,665,039,804,090,339,466,048,788,012,
305,295,216,388,178,533,927,623,721,783,496,520,598,508,303,659,487,116,271,
164,715,391,155,045,707,662,707,311,397,000,539,674,899,490,305,875,389,037,
095,212,162,244,595,846,720,124,061,654,187,222,320,622,301,096,764,855,269,
735,647,453,688,987,403,455,545,151,659,888,436,165,331,476,788,507,565,427,
240,582,755,953,549,283,671,779,421,384,804,596,876,577,290,631,597,080,188,
948,065,493,188,880,228,620,661,121,217,989,570,146,686,341,558,171,814,934,
980,052,054,967,516,689,354,304,481,829,659,428,667,799,148,168,953,164,647,
485,977,205,055,087,845,787,162,256,766,626,934,949,313,024,701,143,796,845,
638,964,152,482,432,016,965,502,934,822,042,680,933,499,128,200,206,916,485,
504,283,494,257,933,032,543,815,335,307,194,567,664,912,979,973,074,855,292,
385,450,660,584,920,142,778,860,240,597,960,978,359,650,265,541,396,715,482,
046,224,499,231,921,820,561,759,128,827,991,105,841,353,934,130,297,831,582,
885,312,184,456,395,410,846,982,946,708,772,145,646,076,006,630,187,045,973,
664,431,059,640,659,158,467,448,987,099,358,295,149,703,228,115,379,394,537,
447,591,254,370,584,723,937,135,708,797,356,869,396,426,102,077,876,177,377,
008,509,464,755,146,754,905,883,522,425,450,255,652,584,014,777,588,311,586,
135,755,538,221,578,751,904,187,639,632,316,686,378,585,031,934,930,052,424,
202,088,576,470,877,425,579,834,194,659,674,656,823,462,439,317,842,722,602,
989,098,109,897,177,414,778,051,931,771,547,592,701,580,882,316,267,358,227,
272,972,794,203,812,676,782,957,736,219,515,487,453,043,735,669,613,336,270,
210,032,870,374,346,033,890,251,691,917,670,315,953,848,972,225,136,811,531,
832,680,054,282,678,017,529,335,888,917,067,657,276,403,481,097,452,830,434,
802,244,512,992,656,424,077,346,049,456,397,123,364,871,707,794,178,000,425,
237,460,484,644,302,846,670,817,558,520,951,624,554,950,504,691,476,370,776,
898,517,183,676,060,050,385,529,135,265,093,386,211,324,546,923,242,031,080,
123,669,776,881,518,721,926,723,681,163,711,090,075,728,786,981,232,160,166,
486,754,832,299,649,924,463,745,744,000,119,307,509,109,602,446,860,191,248,
043,969,727,567,049,538,845,349,546,212,314,558,231,148,787,927,654,159,824,
296,979,811,054,803,401,095,339,288,272,180,455,523,999,184,625,844,373,567,
887,630,545,185,774,656,373,533,854,985,897,905,036,370,338,970,806,995,879,
437,346,442,583,755,815,914,618,588,819,436,384,793,512,939,601,232,931,421,
285,417,280,768,222,991,062,762,982,869,189,928,236,447,098,453,080,961,619,
882,053,401,296,415,371,126,712,420,026,423,756,049,750,773,006,793,440,204,
873,782,421,259,425,903,612,359,758,913,801,158,417,515,372,118,530,801,231,
488,642,664,875,358,748,388,179,038,314,221,897,414,403,874,072,378,455,506,
275,581,477,538,368,363,387,386,798,954,421,582,204,588,870,934,451,498,307,
692,511,744,111,732,118,053,763,543,883,780,619,698,532,591,310,969,450,387,
671,514,405,566,619,135,036,348,887,971,887,694,324,016,027,619,635,528,057,
515,759,334,653,330,406,617,514,221,864,552,017,773,096,977,279,990,114,521,
764,652,089,840,254,813,878,933,935,086,673,134,682,209,561,871,752,641,152,
778,263,977,334,545,116,139,522,547,224,282,034,300,359,797,443,847,108,145,
358,725,575,470,606,014,047,905,323,713,474,219,133,806,889,821,899,110,432,
191,871,228,634,544,600,496,897,702,187,794,731,054,021,851,330,359,722,087,
077,690,670,939,199,803,417,332,349,937,126,569,453,234,406,346,096,184,181,
770,135,902,610,664,318,274,359,431,724,349,207,249,116,250,616,441,440,134,
144,228,794,832,697,664,871,571,549,302,320,002,580,229,938,743,829,697,778,
948,772,633,571,519,574,190,537,146,272,152,036,231,102,629,311,576,189,651,
255,375,472,091,187,367,747,953,816,121,242,337,070,239,495,144,273,167,643,
708,059,892,449,520,242,394,532,696,298,242,507,378,676,612,103,111,975,892,
507,314,191,299,436,635,109,386,819,333,077,582,115,577,097,943,842,298,096,
849,125,078,824,244,954,775,580,141,228,882,578,990,691,075,556,061,506,891,
022,407,491,881,863,006,374,861,929,448,543,217,569,897,520,131,778,552,218,
469,630,541,927,576,115,784,665,161,989,624,167,235,233,868,549,235,160,022,
836,640,924,680,861,544,790,160,432,805,014,501,986,295,531,789,085,670,689,
811,568,651,025,581,730,862,966,659,812,974,636,838,564,316,969,020,342,817,
855,502,871,302,110,103,680,010,494,533,773,436,982,489,923,271,997,994,541,
314,264,286,889,736,037,862,757,519,565,448,277,433,697,345,434,894,937,472,
459,992,846,420,182,886,328,921,278,541,100,742,432,965,680,945,551,790,070,
379,318,707,690,947,526,713,949,685,309,456,696,435,014,487,288,158,379,899,
790,175,482,434,835,213,651,019,471,502,608,081,473,894,925,888,163,835,683,
397,885,777,643,583,853,381,357,323,418,586,730,541,192,745,720,575,435,194,
583,271,932,152,841,813,581,760,803,198,474,208,885,712,155,373,549,775,615,
239,540,077,718,991,708,108,000,115,473,859,040,563,926,580,471,559,403,687,
636,857,502,028,829,589,799,922,207,378,576,639,108,380,046,189,927,627,272,
666,582,807,255,824,810,989,825,869,409,432,490,294,744,893,912,928,209,701,
793,915,004,730,167,329,272,080,307,988,702,601,304,469,505,747,229,725,782,
968,530,393,506,995,511,578,405,519,840,797,913,160,476,934,340,950,801,347,
632,261,505,043,305,292,956,524,815,117,715,341,485,011,069,906,399,913,790,
167,001,339,531,528,289,303,790,822,264,728,245,045,264,377,855,885,913,040,
086,901,774,268,206,331,975,653,262,052,819,482,610,563,183,800,096,317,101,
747,051,004,295,023,965,473,899,384,081,332,241,214,897,193,275,713,660,654,
153,782,741,011,988,339,356,029,086,527,514,178,135,555,094,264,566,835,471,
815,680,818,674,578,540,351,602,976,146,310,297,727,798,737,360,140,376,213,
658,173,901,283,503,169,638,771,104,369,654,199,086,012,340,270,119,815,573,
215,280,858,150,949,568,490,812,039,773,488,643,135,732,449,186,299,041,093,
780,599,382,739,825,068,835,906,827,978,540,893,834,355,123,629,781,787,355,
582,973,964,518,279,278,279,994,581,251,469,715,915,329,768,261,113,664,777,
613,286,303,854,807,575,207,956,357,193,121,637,705,655,761,507,238,800,785,
069,959,969,093,159,684,771,046,742,747,870,387,176,395,439,537,863,908,822,
780,830,310,648,225,253,422,455,268,397,497,553,219,453,111,470,215,447,868,
089,583,381,700,410,365,352,342,600,367,500,681,520,985,088,309,990,432,872,
268,425,988,000,202,978,025,468,717,178,773,745,328,913,199,950,414,418,073,
784,976,223,182,708,491,947,163,231,653,499,222,861,155,754,348,665,616,037,
897,395,626,250,292,715,778,307,944,981,098,893,653,131,713,058,401,569,200,
380,376,405,705,123,906,286,035,902,206,365,471,421,769,493,195,341,999,216,
737,020,595,497,242,927,548,178,449,077,291,157,770,507,467,667,043,590,943,
997,837,129,472,635,939,292,585,919,683,699,079,623,325,067,733,890,822,355,
243,234,729,015,025,288,437,415,000,907,915,686,474,453,078,097,640,020,930,
663,927,283,700,306,212,089,163,983,364,485,007,434,146,983,716,483,554,218,
120,823,637,422,106,090,975,355,126,356,098,356,817,657,536,124,782,660,510,
610,221,618,419,153,346,809,268,224,339,398,709,441,933,904,287,461,530,733,
723,071,469,709,284,037,401,078,910,043,882,160,594,609,956,868,648,318,442,
819,109,438,119,855,464,084,272,488,696,072,498,865,013,976,546,131,217,364,
446,269,580,661,422,980,885,068,080,727,173,369,652,572,632,190,240,500,193,
318,126,559,075,028,084,946,642,832,403,015,013,592,580,632,429,470,333,847,
370,161,552,189,781,547,262,663,551,225,792,307,883,067,437,723,143,560,585,
953,939,611,083,035,384,785,863,721,348,496,377,063,923,748,676,599,424,775,
370,408,972,024,551,227,135,853,967,520,262,986,059,355,592,909,252,947,693,
885,238,485,462,685,221,428,223,056,654,917,576,974,859,821,597,133,771,081,
546,272,988,481,474,895,060,525,047,632,042,594,884,742,522,653,466,335,769,
609,678,732,928,123,206,496,699,321,883,610,894,180,432,476,854,959,497,221,
148,197,897,043,483,585,856,612,725,803,867,304,983,901,278,698,271,286,050,
823,616,050,590,661,317,929,501,806,352,359,173,276,856,118,700,105,537,852,
412,597,989,977,437,317,507,893,597,726,099,853,324,443,585,274,017,789,845,
083,615,842,079,163,064,738,701,118,137,428,849,751,419,857,487,511,548,698,
264,214,786,032,132,243,982,985,353,363,356,119,306,376,632,476,127,265,900,
123,084,438,043,220,895,308,711,271,672,866,064,046,188,483,978,104,052,007,
129,748,907,383,299,025,952,806,668,145,478,328,530,836,935,290,607,991,385,
042,590,156,565,911,402,291,192,041,632,212,591,224,134,238,612,571,495,200,
949,948,860,074,041,088,957,213,107,477,387,319,116,562,596,910,057,642,474,
725,715,840,818,325,454,720,094,427,897,671,211,547,033,735,895,170,468,243,
146,791,040,105,044,553,281,426,044,794,761,396,648,286,928,566,661,944,882,
242,232,047,692,157,396,437,766,605,148,709,785,305,607,219,121,409,571,204,
943,316,957,996,495,554,572,663,720,107,009,826,846,354,897,368,378,418,760,
346,848,412,819,296,660,440,797,919,295,863,936,606,317,107,847,361,799,981,
313,206,380,661,809,214,637,041,914,499,412,756,690,518,786,738,814,807,599,
061,116,162,246,785,422,423,441,852,867,395,817,253,069,483,027,434,709,391,
725,105,088,052,206,483,574,550,669,918,761,949,871,387,158,465,178,676,272,
189,926,434,617,720,813,345,365,814,364,726,092,559,201,521,529,258,193,145,
584,696,514,081,338,331,972,634,909,849,536,432,611,304,092,109,256,251,412,
979,620,767,575,886,312,022,162,188,629,030,821,863,983,622,708,090,384,411,
321,542,176,217,944,466,386,570,925,240,042,219,551,308,171,504,165,485,699,
605,188,909,792,359,259,485,966,832,210,508,569,814,302,865,271,392,770,789,
936,076,971,319,701,708,580,768,461,995,798,812,144,994,189,998,550,480,971,
896,969,034,669,238,344,329,874,230,007,560,800,760,250,420,035,827,375,593,
810,753,470,430,389,350,728,290,556,075,729,712,715,203,543,531,910,633,423,
581,018,717,100,343,342,768,139,090,314,324,048,961,460,306,569,618,373,412,
471,598,334,970,059,390,116,788,914,975,991,489,238,050,795,850,695,580,431,
614,722,979,581,178,993,347,756,622,659,063,508,693,565,041,232,117,376,822,
397,863,754,885,646,239,111,935,817,022,508,134,794,633,733,608,849,924,947,
728,946,583,130,871,382,052,436,278,499,096,601,659,883,734,690,782,313,502,
356,949,661,082,194,698,657,447,344,918,307,187,342,501,680,669,406,988,688,
378,080,454,044,190,158,011,343,394,168,489,791,081,426,026,142,471,912,791,
689,822,313,174,948,648,556,264,084,293,741,702,728,592,895,241,262,598,094,
920,518,515,836,464,556,690,113,469,787,476,090,309,071,193,558,873,712,428,
403,285,978,335,765,838,652,070,477,529,347,189,763,374,872,753,264,017,667,
051,510,696,487,693,459,063,063,623,144,672,560,827,545,389,052,063,206,145,
693,998,938,568,758,323,605,622,176,626,107,667,042,821,363,771,005,716,820,
560,858,952,184,112,113,504,817,739,848,200,502,752,279,216,981,651,003,385,
858,475,887,336,587,429,328,400,305,692,641,072,064,120,962,651,155,743,839,
201,548,905,061,369,290,406,529,726,576,582,601,202,605,488,679,969,435,245,
485,098,427,686,658,827,763,029,080,101,943,698,096,784,336,184,210,886,840,
757,042,316,306,527,298,168,339,508,039,875,044,863,402,707,226,435,402,941,
435,280,303,531,057,920,711,393,015,300,573,797,172,173,324,808,222,171,475,
822,199,268,260,426,595,188,037,817,676,578,938,384,391,378,992,924,795,128,
255,355,570,910,118,679,651,043,727,833,647,583,871,892,342,599,605,188,201,
062,090,859,155,336,642,072,304,484,936,320,963,177,435,503,054,810,546,052,
628,050,939,594,172,323,409,288,390,491,578,782,206,442,890,787,556,350,749,
484,690,124,504,409,129,894,279,787,553,906,546,439,626,344,275,621,860,708,
839,207,837,323,486,912,854,867,010,278,767,858,862,000,478,064,375,622,344,
495,622,338,739,065,901,726,367,739,421,529,457,683,636,225,750,760,240,644,
830,043,876,057,740,429,646,521,420,126,679,200,087,091,605,904,553,769,540,
033,045,173,284,695,408,120,292,348,663,544,356,489,470,918,537,601,778,558,
952,312,089,547,560,682,958,505,373,689,439,972,629,391,874,917,434,883,755,
125,007,857,573,369,485,478,411,461,321,036,511,629,797,545,359,912,301,441,
381,048,362,723,519,093,114,052,994,904,819,811,701,375,277,850,709,725,864,
246,792,083,769,520,131,412,371,808,153,544,312,328,176,816,488,220,699,639,
845,861,002,277,415,120,396,308,069,700,412,963,640,667,076,505,349,061,817,
811,761,177,930,610,125,162,969,055,968,390,437,615,521,683,478,298,142,807,
695,860,874,802,049,676,577,615,326,670,057,268,903,815,462,901,029,813,610,
461,381,874,850,034,160,433,795,510,748,826,832,993,288,332,750,246,393,996,
664,555,199,645,711,324,233,590,633,618,255,417,435,921,215,196,936,774,588,
305,149,246,035,338,953,657,454,766,900,911,936,939,693,015,704,698,363,270,
289,507,915,053,937,729,988,029,514,157,674,764,384,263,487,544,342,763,917,
313,450,172,576,632,867,641,881,768,930,255,904,639,438,632,003,634,157,785,
947,879,924,845,377,584,149,115,181,043,066,548,557,227,760,912,696,828,973,
257,033,210,728,317,748,961,644,576,302,181,307,546,494,209,517,594,085,583,
166,740,179,316,439,809,358,895,268,502,395,558,590,197,792,654,388,924,536,
723,987,318,527,841,048,894,561,790,515,054,846,150,450,908,619,727,351,284,
236,917,052,731,553,507,629,697,919,900,760,159,162,712,089,848,717,688,694,
141,366,164,519,416,533,833,225,759,079,664,671,725,797,620,510,093,554,585,
824,140,633,787,022,844,366,868,098,134,674,152,110,485,386,994,439,619,502,
895,654,055,296,376,001,746,115,154,237,648,133,483,937,030,287,564,684,348,
331,552,573,182,523,603,305,105,308,178,961,570,521,121,728,713,837,139,642,
421,968,882,800,004,179,744,477,545,409,788,320,200,116,625,471,892,718,399,
268,347,093,627,602,449,648,926,838,323,242,873,361,024,467,499,959,071,824,
809,468,758,158,982,654,833,628,962,707,875,531,415,301,113,113,971,963,433,
392,179,557,296,096,297,035,897,620,503,335,090,361,365,182,269,912,613,514,
892,522,231,319,408,191,051,872,813,904,715,468,826,282,145,987,771,157,831,
251,336,877,864,056,101,616,958,961,195,795,158,783,823,198,248,579,205,267,
566,784,118,047,594,058,455,164,480,805,325,328,467,743,299,035,612,930,587,
886,793,050,467,119,960,093,415,439,483,595,207,075,916,998,340,444,253,318,
793,371,055,756,675,767,515,927,914,570,728,783,046,457,443,264,412,980,052,
949,859,625,301,800,143,666,974,129,280,834,367,584,020,770,845,652,666,549,
935,777,787,302,091,990,165,507,020,623,019,264,945,678,165,067,510,396,651,
354,371,172,213,051,334,600,449,954,948,320,089,235,225,415,627,493,458,649,
727,851,419,196,025,534,798,345,089,657,401,050,578,668,073,261,572,126,995,
867,060,878,176,613,913,250,541,826,194,826,301,331,185,423,129,621,282,456,
791,964,293,042,157,899,529,998,230,661,792,859,566,465,215,896,701,694,431,
648,510,730,792,143,961,221,540,401,741,185,450,508,420,270,920,586,527,296,
096,127,524,674,892,939,626,794,755,121,897,023,547,227,092,095,419,889,610,
358,044,645,702,160,069,104,364,128,857,607,501,744,124,560,460,318,598,940,
102,363,364,369,583,477,062,855,934,086,411,209,642,380,931,977,102,055,159,
384,680,722,286,359,689,496,537,733,504,151,742,759,289,043,124,094,206,839,
544,821,704,256,704,837,451,838,806,268,622,443,463,419,236,253,386,525,080,
173,760,907,027,780,702,111,793,738,068,200,733,384,243,238,365,728,971,961,
354,842,339,904,889,699,901,976,125,166,665,553,753,066,468,250,778,921,261,
392,459,666,977,002,853,749,484,108,597,950,058,897,069,012,850,557,635,234,
420,246,127,577,034,148,853,674,869,424,976,932,384,141,580,087,096,913,886,
847,545,583,785,813,048,944,036,461,824,560,860,792,084,653,318,506,237,941,
266,334,924,052,664,685,473,498,518,873,139,924,099,664,395,271,946,348,911,
021,430,175,823,341,735,995,558,458,715,705,359,429,335,212,784,444,300,825,
804,576,607,510,832,052,260,351,664,856,345,453,410,870,029,432,762,277,866,
089,712,496,543,154,933,988,911,489,263,669,020,253,734,267,973,870,612,814,
013,129,920,613,692,652,830,764,702,845,788,783,505,743,641,257,274,807,207,
633,976,859,258,392,656,804,884,218,981,926,200,506,369,552,255,013,423,954,
406,471,980,114,007,312,128,390,951,853,774,380,279,943,230,938,972,420,490,
057,316,753,365,350,314,672,438,425,623,036,324,022,965,138,484,655,503,688,
604,959,086,204,259,777,366,584,031,101,333,867,304,984,458,168,777,762,725,
984,676,701,461,388,626,166,483,021,494,400,413,825,724,926,433,811,191,229,
894,714,983,707,003,114,168,118,114,345,639,166,577,833,224,931,101,691,350,
391,397,387,947,474,807,563,148,552,906,994,737,549,550,097,600,437,153,542,
716,234,237,314,910,474,025,614,757,804,328,650,235,858,261,258,292,029,627,
370,174,634,510,375,341,045,723,211,369,901,053,276,502,404,482,776,519,441,
431,794,209,626,592,235,661,420,166,969,103,680,309,892,716,637,644,659,133,
184,566,256,391,299,324,057,296,249,075,080,564,633,980,257,335,800,178,851,
470,261,935,299,859,232,225,856,826,445,897,509,700,218,045,934,946,861,388,
661,377,155,178,694,373,098,004,822,652,166,407,496,575,546,588,469,968,388,
620,519,548,384,678,387,809,511,920,355,836,600,514,815,313,736,505,644,347,
288,391,409,274,223,965,249,979,028,174,638,577,472,054,109,123,750,030,690,
082,326,363,080,737,178,357,491,602,558,947,358,768,011,273,263,472,966,697,
657,649,457,822,555,404,075,573,334,383,817,090,676,885,893,318,588,509,876,
469,182,508,157,479,665,184,815,999,701,855,572,317,801,277,188,023,078,447,
147,968,833,559,617,650,514,310,890,034,664,935,863,851,396,734,892,854,391,
311,442,899,764,287,033,112,352,789,992,502,396,586,063,531,979,912,737,618,
974,427,845,686,595,202,125,613,757,669,473,524,161,897,685,256,024,666,692,
270,530,891,981,250,669,881,573,349,292,896,898,955,547,522,899,267,120,037,
678,607,641,436,337,465,718,023,025,790,234,547,562,153,374,254,028,442,157,
950,322,622,140,015,736,937,873,291,156,010,198,702,244,677,967,683,713,803,
926,693,016,353,778,073,949,881,019,434,586,401,555,296,815,095,634,985,779,
670,210,779,952,797,689,615,108,247,297,022,544,398,340,825,956,784,024,157,
315,556,590,348,038,032,336,524,987,867,785,932,810,720,822,477,381,402,797,
247,515,636,991,954,970,016,497,937,229,351,215,443,761,458,680,861,777,652,
551,446,490,624,585,353,315,756,700,528,467,280,761,976,625,328,595,197,184,
826,315,627,829,361,822,999,114,029,557,114,688,151,542,573,277,866,336,327,
015,740,134,027,163,411,029,205,296,261,587,167,741,316,398,374,180,623,726,
444,060,472,656,133,039,692,173,300,952,900,383,245,871,031,339,380,935,433,
289,478,214,956,748,177,288,229,004,345,828,077,759,281,169,987,066,303,137,
078,251,399,857,976,540,610,048,483,635,960,656,500,132,072,473,736,358,346,
121,556,151,091,363,566,962,730,918,835,793,496,619,506,000,418,929,043,581,
827,066,881,578,071,171,905,074,185,631,998,759,440,354,934,129,969,974,730,
490,219,686,660,401,054,890,878,380,330,409,191,615,738,211,750,916,771,646,
675,194,617,246,989,903,525,177,176,577,095,658,016,405,684,619,773,622,593,
779,335,681,065,774,661,348,229,288,104,006,105,035,537,112,448,738,230,184,
615,736,572,240,739,508,116,653,426,189,310,501,104,379,401,013,239,897,114,
701,227,309,114,771,735,762,657,666,014,391,881,391,370,637,853,882,461,065,
720,755,577,133,675,574,831,322,255,242,281,552,998,026,646,482,559,502,171,
300,844,265,714,860,173,802,210,601,840,590,829,293,104,554,701,644,286,172,
182,547,793,618,101,768,582,891,099,190,201,814,016,847,278,774,019,877,604,
480,779,190,700,253,713,013,975,978,128,313,446,293,920,965,828,848,191,947,
707,702,435,591,981,264,813,326,242,137,758,426,600,140,034,822,779,855,481,
312,948,812,612,045,804,446,017,231,338,779,489,710,429,023,523,911,946,917,
822,062,560,155,150,898,490,179,963,967,824,090,939,803,949,307,191,131,407,
447,372,682,039,861,547,208,855,540,544,045,156,554,888,456,093,170,114,312,
606,375,743,446,962,636,556,041,360,879,929,296,888,784,299,096,125,238,846,
771,250,870,117,108,698,024,193,462,341,244,976,880,807,907,786,586,430,030,
184,213,617,744,748,905,202,423,383,428,943,621,589,264,277,880,455,571,774,
435,034,895,937,967,400,489,543,266,214,334,201,043,052,684,404,205,763,255,
423,639,974,907,120,902,437,088,678,016,349,510,835,333,827,488,780,009,817,
762,413,633,883,197,175,989,301,674,674,796,483,015,406,525,236,590,051,880,
589,416,100,203,803,714,310,302,480,621,948,689,301,862,136,757,894,269,530,
049,204,335,324,952,901,730,268,922,567,313,140,219,154,512,893,189,108,452,
991,522,324,828,340,834,812,977,924,503,194,971,443,454,898,545,274,446,616,
514,356,175,924,181,372,761,367,995,153,197,271,790,568,716,695,612,062,968,
639,056,213,485,089,464,523,117,992,089,754,596,413,576,525,696,420,472,632,
894,944,767,942,774,624,108,241,994,040,013,950,285,918,920,909,257,369,057,
269,033,198,439,559,953,243,552,055,120,869,154,894,367,679,374,803,990,739,
384,269,069,864,620,324,709,913,164,381,548,372,864,449,661,248,163,090,996,
510,473,486,081,088,977,554,986,191,222,441,025,069,715,566,284,320,242,134,
573,422,837,338,449,531,265,371,160,639,227,050,859,762,113,810,470,325,127,
182,872,389,808,297,518,901,925,557,365,220,770,580,472,096,909,540,948,015,
312,092,893,108,411,602,928,916,195,294,841,546,303,213,094,777,026,668,476,
050,330,281,626,328,636,111,887,604,166,680,562,320,047,290,714,346,843,575,
864,460,074,525,221,067,847,280,275,695,985,432,208,377,417,109,716,248,278,
393,071,343,661,973,142,451,691,026,841,629,695,435,035,064,317,738,649,507,
936,787,960,891,132,385,280,574,249,179,602,467,254,334,483,903,054,273,956,
851,817,040,759,056,273,394,183,358,055,082,790,791,453,806,053,819,039,014,
902,593,790,563,845,010,749,135,841,474,968,588,440,794,213,505,875,874,840,
325,031,723,927,739,166,128,752,484,836,805,999,092,554,863,705,583,529,248,
836,273,861,142,764,318,407,665,261,023,319,061,834,646,050,155,564,646,962,
880,766,908,360,802,977,837,821,702,596,155,933,697,499,483,975,842,512,319,
189,379,496,912,689,328,899,462,912,360,458,064,174,297,491,650,988,044,630,
241,453,443,673,434,557,009,633,835,326,153,249,825,700,045,261,626,240,329,
747,529,263,514,881,910,626,796,802,810,108,914,451,490,327,595,156,959,973,
222,160,269,992,347,277,844,217,687,392,997,116,563,443,625,542,311,564,559,
649,011,508,943,718,758,571,018,094,734,859,393,702,366,178,348,868,535,173,
485,591,884,622,357,851,253,911,734,358,185,402,946,773,804,735,921,394,581,
843,160,427,502,486,417,282,123,578,800,996,128,005,911,307,842,449,697,539,
538,928,894,319,784,503,561,434,170,198,034,298,687,682,843,749,001,529,073,
724,482,095,311,525,307,514,879,715,663,594,762,576,921,370,828,042,174,891,
798,348,483,808,330,390,275,606,280,548,929,171,967,761,080,426,081,763,428,
629,649,620,113,663,730,449,851,599,523,173,837,666,804,570,185,122,415,035,
669,122,445,766,347,356,396,376,005,521,474,212,137,241,780,284,573,051,730,
781,476,271,473,026,168,456,234,541,220,811,731,886,546,577,765,098,888,149,
943,279,036,608,330,807,818,912,064,204,871,091,224,462,469,387,591,179,231,
953,302,550,555,068,030,275,858,242,899,925,551,302,401,209,343,515,114,632,
795,056,050,001,377,781,004,159,909,428,791,210,755,378,035,331,884,534,969,
534,985,405,577,921,066,226,403,841,459,206,539,949,414,998,538,268,097,113,
840,010,861,698,776,037,260,638,405,744,028,190,175,157,955,889,134,560,267,
148,046,238,592,103,987,079,085,418,354,719,409,195,201,062,676,253,526,120,
413,883,106,946,710,043,847,467,745,244,394,995,301,563,088,660,035,752,062,
516,671,018,338,616,420,693,674,574,206,229,405,463,399,677,314,502,248,420,
986,808,740,079,612,195,468,810,611,043,452,557,369,213,028,951,755,653,299,
115,955,184,065,410,734,679,281,471,507,540,719,111,806,222,513,141,932,146,
665,908,221,715,713,402,880,153,207,087,690,634,851,032,869,086,708,731,146,
250,862,788,384,033,466,507,454,309,752,574,437,463,978,804,008,192,771,380,
065,082,246,638,841,327,485,509,495,159,198,256,094,875,702,235,451,787,959,
042,076,908,781,785,778,000,116,919,187,403,236,065,875,032,625,672,616,129,
745,989,899,568,458,148,948,705,995,709,557,854,713,360,477,281,515,588,400,
091,536,473,226,943,783,918,111,941,710,149,701,329,927,019,293,957,861,405,
634,145,266,812,375,950,002,596,171,570,219,719,826,081,111,531,916,659,251,
098,075,002,681,345,535,925,234,604,151,067,641,589,929,370,759,363,717,851,
269,690,998,369,996,874,558,242,992,755,049,855,857,590,538,171,469,282,459,
763,222,837,762,768,189,907,433,803,112,757,760,912,078,539,064,474,358,213,
217,115,525,321,060,821,140,535,978,186,718,262,093,682,382,346,545,186,213,
277,328,116,306,370,896,943,575,843,260,772,928,554,752,305,408,999,210,140,
743,540,259,494,904,841,997,685,704,473,212,112,776,259,880,039,253,528,934,
494,308,520,586,040,106,646,788,487,329,689,945,292,405,807,502,321,545,747,
330,981,081,923,567,634,883,403,506,853,504,451,248,253,431,025,040,184,797,
473,750,091,700,153,501,081,377,555,190,668,018,095,873,697,634,311,552,379,
469,320,275,088,922,087,952,824,511,882,672,713,842,769,999,315,296,039,295,
633,354,167,135,077,078,867,320,600,638,214,221,060,778,140,090,055,027,181,
522,303,947,007,338,787,038,354,883,590,578,763,804,337,464,059,028,794,713,
380,134,077,875,052,924,128,346,962,680,392,258,439,197,038,082,228,854,457,
272,866,429,846,038,976,050,855,358,049,341,022,878,765,711,734,599,648,256,
837,245,177,433,242,139,862,202,375,014,590,582,718,876,239,257,585,343,906,
195,602,157,593,536,121,959,187,048,189,886,464,409,507,822,372,176,262,916,
535,992,962,337,078,172,051,772,063,924,777,331,164,935,221,285,127,522,462,
903,186,244,570,404,960,223,703,999,244,822,028,541,459,289,444,808,712,744,
685,273,753,299,654,598,008,909,570,263,624,907,974,185,374,288,286,906,490,
956,633,986,938,303,599,997,075,828,202,839,446,159,444,627,483,221,317,491,
425,001,800,849,513,719,805,151,584,218,446,130,013,974,265,941,759,853,794,
466,131,058,452,480,218,355,741,669,808,377,063,355,131,439,348,739,308,527,
445,897,354,928,116,288,943,093,613,788,498,431,537,785,500,474,229,136,802,
125,601,202,260,359,069,574,305,190,343,690,990,852,526,090,331,151,392,154,
210,509,716,738,864,329,303,422,230,401,621,932,140,285,135,894,301,897,515,
072,091,521,275,910,151,789,157,131,499,490,198,057,212,821,109,457,467,087,
639,802,877,842,432,949,117,700,345,082,358,187,165,496,759,256,591,552,836,
798,026,543,413,811,148,411,553,561,650,789,484,392,223,556,231,413,721,825,
249,693,255,553,998,332,503,691,187,927,215,961,153,295,071,080,049,471,202,
779,973,258,592,512,501,166,552,634,875,388,438,892,648,108,205,235,082,446,
643,011,140,457,462,123,918,044,838,641,859,983,906,625,847,035,316,629,480,
778,871,837,253,543,590,804,409,278,183,925,666,103,613,791,551,152,139,376,
802,661,762,513,267,350,917,441,151,203,594,255,665,448,246,445,916,023,703,
699,527,207,147,294,813,632,901,364,140,950,943,730,144,324,851,425,184,540,
335,663,728,507,423,443,710,748,236,712,342,232,448,213,157,956,138,636,233,
471,911,768,221,542,917,264,020,426,631,207,839,012,305,006,388,514,955,508,
620,711,479,736,367,947,944,816,561,127,329,450,073,306,384,859,202,737,963,
656,180,046,678,911,499,417,037,392,082,884,598,650,670,548,936,481,008,334,
491,049,114,789,554,803,275,571,450,922,464,198,974,391,342,898,615,749,913,
286,394,953,733,935,687,211,130,520,928,098,246,943,829,512,419,115,381,047,
355,107,159,201,435,901,431,010,878,241,806,818,762,466,143,122,963,555,156,
561,486,447,095,683,076,855,608,576,557,977,619,392,828,743,035,510,043,772,
806,159,373,606,573,035,211,482,585,441,185,262,933,497,529,310,280,180,704,
078,456,371,528,456,123,990,658,155,668,656,405,448,835,898,724,208,616,966,
423,875,314,700,394,626,989,118,836,010,064,749,505,018,334,129,984,992,479,
036,949,120,741,028,952,933,689,020,723,815,743,503,228,910,851,065,915,157,
439,591,918,520,339,901,784,939,738,138,540,193,238,664,596,776,194,164,861,
183,100,083,300,410,338,506,316,729,206,675,547,379,555,883,184,988,008,394,
324,275,486,875,194,792,890,246,107,163,609,505,704,542,179,657,943,939,944,
415,495,003,660,340,022,740,324,017,158,550,583,634,801,735,323,637,151,199,
779,689,476,777,839,981,484,658,265,961,672,716,912,821,824,768,569,425,740,
695,731,318,962,932,795,475,297,043,522,281,020,705,092,363,661,702,773,468,
587,272,251,535,868,393,763,944,609,623,750,867,721,977,270,893,454,837,463,
918,391,914,432,652,813,483,511,129,992,383,565,867,547,535,937,100,114,469,
328,708,805,212,578,696,619,021,474,736,634,555,773,443,428,736,088,163,753,
336,950,552,435,999,019,603,568,776,201,074,404,630,109,098,666,842,690,390,
989,908,269,189,426,008,461,462,157,867,728,655,050,779,048,964,156,247,719,
669,590,727,884,269,305,761,999,990,069,364,864,750,898,826,829,615,764,538,
421,083,471,059,014,904,199,927,722,312,029,975,029,738,208,639,792,845,762,
047,045,414,646,300,763,283,170,297,710,796,106,821,485,095,500,916,616,283,
102,439,122,961,696,132,453,488,285,269,627,953,477,415,840,814,756,324,639,
826,220,510,594,792,274,403,072,285,993,057,235,615,624,573,566,469,695,719,
296,488,689,811,415,643,746,505,770,842,004,004,622,497,636,295,768,167,098,
636,993,549,378,227,988,401,297,986,606,593,522,147,877,771,527,329,828,811,
323,409,881,162,881,554,854,503,282,449,670,906,534,968,160,585,534,844,928,
033,644,526,759,154,373,266,849,528,371,630,387,218,687,834,209,243,363,304,
827,982,288,451,782,965,781,877,927,902,092,244,688,912,521,608,528,055,920,
423,905,433,586,158,717,041,517,512,581,361,903,196,001,135,840,853,707,356,
591,076,911,440,100,017,308,716,208,113,983,690,557,796,481,174,280,194,452,
864,710,565,023,872,003,778,808,908,117,891,705,547,081,178,437,207,811,843,
716,408,869,040,289,965,480,703,663,207,062,191,872,725,798,658,249,827,063,
600,839,567,336,971,795,995,968,894,380,561,729,915,762,404,510,247,496,412,
919,881,498,921,983,894,673,580,014,776,295,578,593,010,270,347,339,450,817,
744,087,394,131,982,857,369,569,110,856,157,995,627,549,351,593,778,032,832,
238,370,027,143,148,350,433,466,830,741,549,591,677,161,443,370,898,130,794,
770,353,212,908,162,925,250,107,352,231,302,388,334,244,134,373,411,427,361,
017,401,310,329,223,381,384,433,769,503,297,287,877,468,915,626,959,362,110,
196,648,883,553,011,951,618,868,999,894,245,558,930,747,195,080,883,779,475,
999,765,350,771,506,598,805,613,170,124,509,884,969,349,352,608,038,416,280,
040,480,249,388,924,414,262,088,902,352,942,921,531,525,497,171,706,648,933,
287,775,537,547,070,540,206,199,046,635,702,210,168,790,831,428,492,045,334,
331,793,657,697,371,931,848,431,189,362,986,139,317,028,431,617,162,872,026,
341,858,510,104,315,108,959,623,509,208,633,900,468,768,697,067,840,298,918,
026,961,804,215,038,653,475,619,189,417,708,376,240,825,466,559,479,734,850,
123,391,771,571,122,319,652,938,021,476,542,530,800,152,243,523,015,720,338,
448,428,713,510,881,548,175,165,191,588,738,757,645,960,488,130,481,483,734,
208,534,176,448,674,323,113,255,087,905,751,893,450,299,649,376,936,062,292,
705,375,387,209,760,869,602,918,783,970,187,710,154,818,424,442,139,748,621,
065,744,094,285,225,958,008,311,442,749,100,937,810,512,639,337,915,081,068,
823,074,818,839,623,412,009,210,396,140,302,638,043,931,667,990,208,985,171,
261,429,850,709,508,169,889,326,518,509,163,826,114,326,244,536,286,059,952,
699,040,915,365,118,898,142,775,704,745,960,939,366,507,399,033,883,862,798,
994,301,532,619,396,997,131,524,231,857,956,081,043,941,429,296,654,436,801,
325,954,622,677,039,860,421,275,050,911,342,739,583,937,847,714,455,854,951,
322,543,690,300,736,080,126,483,281,110,506,732,521,272,536,344,811,909,938,
512,661,986,659,027,478,532,823,025,369,290,941,236,036,267,965,528,517,190,
208,048,651,177,581,281,592,363,126,149,010,906,360,690,752,454,515,577,469,
780,538,475,888,731,417,823,246,896,278,303,828,121,206,104,347,713,278,916,
621,329,143,343,955,537,913,655,227,606,243,539,051,262,659,172,577,997,709,
584,144,085,496,687,039,158,319,567,585,060,626,697,733,939,149,761,963,033,
018,891,951,769,579,319,239,857,723,930,042,846,671,916,377,240,265,159,346,
084,307,774,373,590,020,559,316,718,475,677,150,888,251,979,256,492,120,018,
772,760,944,323,938,267,898,203,220,168,417,680,722,279,871,482,698,965,938,
128,283,710,930,554,913,641,778,473,583,332,027,718,987,223,601,590,850,771,
902,044,972,980,349,374,279,673,616,131,960,271,811,863,215,222,703,386,261,
893,414,945,147,903,743,351,941,755,090,018,860,925,080,170,298,671,558,984,
864,627,422,261,831,286,571,656,764,952,641,344,702,693,367,730,681,142,002,
685,791,093,460,504,905,229,046,017,648,586,949,051,217,098,886,794,074,610,
801,609,366,465,731,295,099,166,673,909,530,960,529,887,981,488,519,540,040,
047,273,727,234,126,954,646,619,159,098,514,583,353,172,695,705,606,062,380,
507,684,219,932,170,904,192,151,197,318,807,807,260,913,590,187,889,077,769,
707,477,456,736,961,967,934,685,104,135,703,062,894,961,441,857,111,994,468,
017,768,056,290,634,824,592,342,759,339,335,279,698,065,741,980,459,427,776,
396,743,666,441,225,102,461,452,335,981,562,987,424,874,265,391,390,213,695,
734,627,619,869,824,654,815,420,831,036,624,590,337,496,170,035,858,602,391,
175,969,587,027,823,427,557,722,354,443,375,161,154,439,873,108,244,998,071,
067,704,647,026,387,267,737,359,863,922,638,707,204,544,483,765,031,267,542,
137,001,766,180,418,436,272,576,346,966,683,519,252,508,336,101,934,724,595,
427,447,142,708,186,250,747,710,063,975,396,193,371,428,334,803,053,770,242,
962,341,449,330,427,915,330,363,883,536,625,528,576,068,542,246,261,133,692,
598,990,385,258,372,407,651,882,939,628,717,208,574,715,697,178,182,363,245,
025,828,613,819,349,495,643,960,593,226,169,570,112,434,628,879,749,964,206,
669,881,197,749,977,601,326,746,720,929,064,704,154,247,183,059,143,397,044,
642,777,247,264,449,776,118,441,751,589,556,742,595,861,720,512,794,842,920,
679,388,850,557,392,855,619,919,327,693,813,291,221,710,903,846,398,732,850,
803,593,727,016,500,011,921,379,969,496,336,513,714,702,066,913,776,904,782,
313,850,861,771,948,364,151,161,068,407,692,145,075,412,246,999,449,780,865,
813,891,578,155,512,776,894,672,876,571,835,763,664,935,945,633,499,321,921,
895,536,857,386,570,631,935,093,047,399,893,683,107,082,214,832,352,493,249,
514,962,616,485,752,590,605,678,428,564,854,152,998,689,184,578,629,424,907,
947,090,376,891,355,343,477,576,748,440,989,472,066,528,781,535,492,468,870,
153,193,412,420,545,574,886,194,995,869,569,697,937,083,032,105,130,951,950,
055,358,978,362,127,350,017,879,364,613,256,448,874,523,532,841,371,811,808,
771,357,238,296,696,125,089,160,535,507,281,382,971,155,062,663,571,585,330,
344,194,908,280,181,418,623,901,771,187,591,475,221,723,255,693,434,388,235,
838,122,106,189,203,164,549,636,271,748,447,137,426,286,063,095,995,153,980,
922,276,636,241,749,569,645,118,873,561,542,716,088,386,440,075,210,435,866,
734,993,410,315,324,855,012,445,949,347,639,099,519,763,440,961,406,807,224,
105,270,914,133,041,677,505,276,112,334,046,701,741,792,317,716,711,430,056,
396,836,565,278,329,837,856,870,064,750,956,581,113,273,913,725,975,189,302,
454,078,104,173,955,074,916,151,416,960,680,872,833,369,731,650,641,202,337,
175,466,334,055,715,140,099,156,273,072,866,693,018,970,906,567,910,164,709,
991,147,232,113,085,009,372,180,035,794,873,712,375,965,770,615,863,532,665,
526,979,235,143,561,001,035,175,032,832,280,384,350,370,394,518,213,388,135,
310,204,491,211,829,665,335,964,929,937,276,409,220,888,065,049,608,078,967,
965,112,309,051,883,299,108,577,588,709,502,458,865,922,947,402,725,993,219,
441,401,488,270,722,185,746,090,600,098,745,097,813,043,568,809,754,148,599,
088,001,173,776,897,977,351,449,048,592,601,132,025,681,144,590,295,654,659,
957,789,948,050,522,415,759,339,404,600,440,726,113,291,393,164,549,958,225,
229,041,777,881,419,012,966,189,823,696,427,349,843,845,227,455,275,770,153,
719,744,738,515,567,321,869,685,059,437,396,321,692,744,776,397,872,283,430,
589,212,592,545,264,463,176,221,433,429,270,588,327,508,916,341,334,309,011,
279,639,138,875,747,346,382,251,281,915,450,180,860,412,868,432,388,028,903,
493,358,781,254,409,331,754,165,570,435,610,193,080,427,427,453,419,524,818,
435,758,918,206,775,581,258,326,854,430,698,854,613,535,108,671,419,687,778,
683,393,430,473,248,442,119,564,228,586,933,057,382,205,944,759,872,380,267,
882,744,942,124,172,454,270,962,718,054,349,195,328,042,666,430,977,480,262,
606,533,460,816,783,060,804,574,649,823,719,092,621,151,755,030,680,014,212,
816,488,255,037,571,953,040,089,117,934,261,333,135,439,728,928,652,154,966,
364,985,245,355,887,375,980,939,400,599,675,961,806,453,740,636,592,852,262,
485,189,317,478,362,269,296,893,685,398,416,724,578,390,599,471,373,930,541,
743,883,016,260,935,682,564,771,635,500,617,501,634,092,672,994,755,275,243,
945,219,049,326,767,124,799,180,913,341,119,063,022,525,327,014,834,203,186,
214,812,787,080,433,926,027,540,114,580,634,052,040,141,230,139,391,139,182,
048,506,259,233,719,806,505,721,733,487,792,818,369,075,819,475,439,342,027,
607,643,151,545,766,667,272,413,994,740,137,627,908,804,672,888,550,640,978,
599,976,885,675,712,283,646,059,943,282,200,894,662,178,676,004,799,539,267,
251,177,921,649,472,853,519,245,572,284,991,650,133,913,249,642,845,078,264,
830,628,946,473,875,497,577,834,879,882,256,218,426,284,974,519,783,574,344,
339,445,751,207,041,610,927,834,146,111,016,963,056,756,559,509,042,563,527,
013,656,552,699,566,630,955,062,939,140,690,406,858,141,641,359,350,681,705,
488,774,084,757,065,262,195,605,129,216,211,767,061,647,341,502,800,960,350,
757,575,433,862,599,332,337,970,217,225,472,130,848,775,342,585,801,156,326,
984,276,770,566,603,217,260,979,322,203,690,552,474,993,758,712,454,820,070,
069,757,176,647,690,620,436,021,908,227,858,387,108,594,106,128,113,743,966,
125,580,902,807,363,319,766,871,154,499,741,744,564,841,859,581,677,096,715,
678,251,913,417,075,226,032,370,812,149,258,397,011,701,214,996,909,819,682,
015,982,992,543,802,924,416,232,952,301,234,905,190,793,467,087,226,161,323,
980,746,878,623,111,367,303,275,946,593,141,530,447,986,408,800,111,157,602,
762,623,410,105,371,737,358,015,218,384,126,589,402,605,524,353,281,663,103,
355,664,941,297,445,921,216,447,543,157,582,937,536,764,371,460,435,383,886,
423,372,913,839,905,047,793,300,394,562,261,412,391,407,425,576,090,719,715,
622,533,437,226,604,032,097,589,726,344,311,073,637,446,610,776,021,485,546,
251,552,695,693,880,699,608,577,371,263,540,048,825,687,110,953,518,916,738,
995,732,573,713,739,333,357,482,999,252,646,801,038,755,891,629,975,784,158,
659,906,330,089,073,339,757,475,719,430,456,428,711,704,387,748,406,386,052,
247,318,967,696,530,666,228,228,255,539,636,029,215,057,901,886,384,414,708,
981,659,086,747,506,794,219,414,965,938,635,430,794,358,866,434,049,477,902,
787,154,624,591,428,992,408,687,246,939,504,308,098,725,115,270,289,992,941,
747,231,615,659,290,362,750,752,378,841,882,637,524,684,522,387,875,669,324,
609,587,704,805,408,991,820,201,631,595,935,621,553,058,837,713,554,625,508,
006,302,658,617,941,655,881,557,326,503,676,094,655,369,722,484,184,881,636,
860,205,368,483,670,640,303,715,315,327,271,429,566,766,102,291,622,651,473,
118,079,705,368,826,748,744,951,722,614,987,555,969,204,373,586,727,759,280,
726,565,239,329,182,950,491,274,614,618,522,131,492,227,325,006,185,453,491,
321,606,553,322,255,500,398,260,501,411,663,655,721,232,197,750,367,997,316,
583,103,328,436,206,629,796,257,759,068,010,242,370,698,557,896,286,294,184,
854,773,721,721,916,353,737,787,482,744,079,558,785,580,429,110,939,800,489,
905,396,213,111,994,299,722,540,500,418,040,561,746,544,797,480,531,804,943,
271,918,090,101,310,867,547,112,840,631,499,390,133,421,035,228,202,369,690,
116,902,905,219,817,652,190,661,404,643,494,838,717,748,711,890,561,568,894,
929,101,584,768,087,755,372,134,600,633,048,349,971,838,665,277,048,486,402,
326,215,683,608,804,688,283,600,154,010,172,571,827,889,267,943,227,237,292,
602,838,893,525,492,419,318,243,604,924,975,579,667,861,133,473,200,127,296,
403,456,490,133,499,717,300,600,793,786,547,513,220,089,540,505,073,330,394,
976,974,720,208,789,284,334,822,197,460,394,872,345,032,840,249,089,894,194,
858,041,017,795,591,293,094,544,182,983,474,127,561,210,646,214,424,763,153,
846,801,649,480,521,072,790,069,430,680,832,262,980,757,775,647,033,028,137,
777,214,868,977,533,551,489,479,013,423,200,441,866,812,805,122,830,563,858,
809,239,582,294,330,510,338,540,873,494,969,256,867,263,439,606,867,854,353,
375,097,402,899,237,243,945,504,838,308,104,972,319,226,563,122,812,333,222,
762,781,824,305,815,466,459,010,816,693,568,404,289,627,751,422,998,837,529,
668,174,141,912,353,008,258,010,926,686,452,490,815,228,236,893,818,867,872,
375,754,983,967,091,747,825,005,595,084,692,448,161,999,392,289,310,806,420,
257,724,263,211,502,134,835,769,261,740,507,924,683,468,708,130,341,342,385,
580,730,864,829,868,756,556,362,851,352,236,013,979,206,493,531,781,751,978,
962,463,671,709,387,022,799,605,314,114,920,307,878,983,391,506,054,700,364,
177,986,180,200,208,991,748,842,171,489,909,841,235,181,961,897,622,087,374,
160,985,146,063,553,912,331,826,758,173,743,797,018,960,620,711,619,233,222,
222,436,937,732,824,629,481,420,459,336,460,228,355,197,005,388,937,290,892,
482,291,638,719,470,505,408,000,870,830,723,844,176,214,582,062,944,692,243,
962,166,650,021,335,178,102,141,322,076,936,888,191,353,817,988,028,232,269,
616,005,028,202,714,682,814,102,148,418,651,286,578,285,709,635,441,659,459,
661,705,264,188,638,800,027,351,993,416,711,145,349,598,472,300,598,534,296,
095,721,791,568,245,162,917,421,895,459,969,540,635,212,894,915,886,562,510,
600,864,276,322,645,760,369,189,076,235,767,029,638,887,154,208,537,103,554,
302,036,574,579,825,099,954,719,280,744,974,431,552,712,309,891,591,730,340,
488,797,920,077,225,816,836,049,638,649,583,168,261,418,709,606,172,881,084,
679,463,041,585,343,177,243,290,655,759,179,012,838,071,663,736,462,136,088,
485,278,887,137,720,097,070,689,947,051,578,076,353,654,475,113,758,499,078,
280,278,661,411,257,760,975,092,781,607,354,761,877,073,168,447,481,599,209,
884,621,073,429,344,131,205,227,824,263,550,428,961,816,922,634,936,522,272,
578,809,319,631,482,161,287,717,948,296,072,120,303,825,643,567,489,954,834,
466,205,831,438,223,176,765,136,828,555,628,847,910,907,097,150,105,553,214,
748,142,415,890,435,630,418,466,015,683,393,360,829,301,894,769,273,317,644,
445,295,612,725,801,100,440,930,408,666,574,211,930,147,164,748,145,660,044,
699,348,546,490,111,334,546,683,518,324,653,629,365,926,185,721,256,548,262,
083,954,324,849,959,500,626,765,272,366,708,898,474,107,909,188,130,564,100,
344,401,491,315,534,062,276,438,310,547,629,672,012,039,880,297,536,553,657,
347,852,990,859,049,705,561,685,493,204,671,543,306,254,191,788,060,203,692,
585,272,211,568,866,980,720,682,217,826,511,095,688,955,109,211,691,184,211,
624,051,199,461,075,285,242,718,094,378,117,299,008,110,883,942,623,855,326,
567,711,738,460,160,479,390,354,126,112,887,928,559,329,953,056,951,229,427,
285,965,942,833,621,822,482,250,297,202,457,672,096,093,015,492,488,906,443,
107,484,682,433,201,881,016,509,649,775,940,845,094,024,742,427,573,402,422,
942,081,922,828,964,471,629,014,693,702,253,166,109,671,507,019,169,572,747,
276,887,168,864,889,234,190,314,061,557,973,697,027,593,426,073,089,619,719,
144,090,314,560,613,138,674,788,678,649,627,379,458,072,334,009,753,675,713,
712,444,974,243,372,699,647,994,901,397,407,345,730,335,178,519,723,069,868,
835,353,073,933,325,539,102,927,476,234,043,073,144,637,751,267,783,731,146,
826,126,443,028,136,202,252,925,748,105,410,360,348,747,107,327,498,006,915,
530,220,769,702,194,854,449,702,798,874,644,341,919,089,466,253,962,448,872,
962,297,613,911,901,371,463,266,578,759,379,762,182,345,391,614,598,284,751,
514,225,672,599,150,008,441,648,233,680,192,245,456,955,540,365,367,909,856,
278,020,210,303,228,592,550,998,186,251,994,906,122,051,540,448,186,377,623,
702,683,617,722,132,049,091,397,069,219,072,620,065,932,273,451,945,425,161,
077,823,797,347,316,270,115,492,785,645,694,903,830,627,378,862,279,005,610,
267,942,207,728,382,190,726,298,277,752,238,479,319,979,991,144,335,097,617,
886,129,323,621,632,226,596,463,610,494,182,333,557,225,865,504,700,536,444,
936,790,662,370,355,069,585,464,696,058,311,293,562,652,570,367,202,158,107,
673,668,701,316,277,850,362,459,737,019,796,086,014,054,885,827,835,949,809,
191,329,014,722,705,229,416,251,001,063,725,801,001,141,598,381,254,300,320,
251,731,671,143,734,040,350,464,755,015,094,287,199,902,174,039,776,080,945,
254,635,934,275,234,500,324,177,756,774,529,954,264,467,267,116,537,334,107,
399,129,681,020,468,347,537,676,107,410,465,534,002,349,376,184,225,609,575,
101,276,210,782,946,383,518,682,617,507,400,979,652,680,387,015,159,652,261,
709,198,378,108,324,561,670,459,904,091,532,400,730,254,736,427,272,705,452,
382,472,016,426,223,473,211,041,400,635,184,821,530,739,265,722,091,740,417,
044,725,669,796,041,346,623,014,516,847,916,681,709,991,294,189,176,045,875,
725,981,779,726,584,946,643,564,541,357,510,928,341,619,870,898,267,906,915,
849,486,769,545,143,284,138,408,506,871,393,401,192,994,583,830,484,533,078,
611,668,319,862,126,313,722,424,790,778,358,245,586,693,776,758,988,282,892,
188,975,870,020,571,782,809,377,335,841,234,679,233,344,969,083,946,562,687,
030,512,607,421,570,781,768,610,567,190,357,906,245,441,367,606,829,503,398,
182,140,542,277,724,327,094,700,147,256,504,245,881,433,662,694,257,124,703,
534,631,615,165,854,098,993,984,082,284,150,893,021,393,651,945,581,418,819,
147,859,604,921,461,352,564,676,784,044,912,546,634,323,291,056,824,643,634,
921,696,976,395,931,137,815,420,566,208,963,035,673,333,800,300,799,377,746,
074,964,802,563,296,042,444,433,993,431,465,261,035,120,819,937,108,565,544,
865,611,942,900,406,784,005,785,877,141,307,080,928,073,728,559,831,978,778,
906,963,694,537,261,787,901,432,606,598,912,081,363,995,802,992,166,612,081,
968,113,340,735,990,888,725,375,910,810,190,723,672,420,319,208,615,966,386,
228,404,489,001,662,719,101,821,494,597,863,346,517,493,396,930,640,469,769,
356,102,039,809,717,841,046,112,002,343,190,541,316,600,092,740,551,849,377,
853,830,842,041,323,830,838,343,591,636,576,198,124,893,677,723,674,313,893,
122,006,524,416,443,225,897,225,995,631,585,103,578,135,631,985,252,145,595,
246,227,387,587,992,922,178,181,944,734,451,438,152,915,242,302,504,000,684,
600,573,154,961,561,034,212,413,343,376,087,143,696,128,866,280,448,233,260,
515,379,934,032,281,259,665,184,639,046,157,094,656,323,525,404,343,225,930,
011,057,674,988,253,552,976,365,830,635,530,277,229,318,204,966,987,424,627,
618,833,018,095,265,424,762,629,356,702,938,831,214,079,993,511,611,845,448,
522,627,664,781,092,481,093,758,494,260,731,535,048,797,618,635,822,921,747,
394,320,069,227,655,212,687,243,845,997,715,984,582,936,166,419,961,514,169,
690,949,699,086,617,825,273,421,272,503,901,754,674,184,177,948,752,886,331,
663,833,370,190,592,680,111,777,241,062,874,981,928,905,591,158,647,483,160,
432,639,758,096,541,588,617,722,326,489,439,354,741,025,989,297,774,250,531,
172,529,377,726,605,089,961,549,108,291,120,735,697,880,077,640,172,184,902,
025,294,372,046,171,958,984,668,401,226,662,001,414,310,856,577,590,944,450,
660,939,288,527,538,017,617,654,703,879,551,992,806,990,130,279,501,233,219,
895,964,384,746,506,884,015,324,409,453,472,033,136,079,020,479,593,978,716,
684,757,491,392,100,536,939,501,888,440,180,913,783,381,113,729,475,171,504,
298,797,707,300,304,385,611,898,457,049,465,357,483,151,944,166,164,405,774,
333,056,470,387,190,826,904,907,301,108,509,262,351,872,221,362,525,267,783,
640,426,026,555,563,813,233,082,625,050,705,366,100,505,705,368,097,712,096,
127,648,217,267,517,809,269,706,874,258,956,516,254,946,745,301,003,230,735,
850,440,565,263,843,946,938,864,407,224,233,115,778,127,862,624,105,798,847,
154,403,836,188,754,669,166,634,542,285,189,685,642,462,216,891,077,439,941,
760,735,519,030,322,915,484,385,008,188,174,696,104,597,670,115,361,107,320,
654,048,342,893,714,674,068,506,225,238,852,289,146,610,968,547,116,178,174,
426,130,672,700,779,873,105,644,616,339,216,579,673,240,503,007,410,366,353,
323,223,597,964,315,148,383,299,238,235,658,139,489,763,517,747,619,032,477,
371,328,052,915,553,509,886,143,140,957,207,928,146,085,564,766,060,016,070,
942,307,495,067,197,920,002,653,301,927,735,027,428,466,076,351,283,700,511,
879,636,400,021,046,921,549,562,781,420,329,820,176,421,112,111,282,390,595,
075,525,763,868,246,775,439,148,226,618,848,117,777,092,359,998,050,702,226,
254,144,104,229,656,036,137,985,925,605,866,516,508,389,535,619,911,941,731,
232,643,117,256,123,537,228,066,568,965,449,225,809,232,621,994,182,825,953,
603,605,207,497,002,194,289,464,207,660,412,065,529,717,224,691,490,729,392,
987,431,524,784,561,048,612,476,963,253,450,530,613,317,737,451,052,068,610,
847,192,027,089,664,252,897,487,304,636,221,446,818,022,575,817,977,566,604,
233,650,113,607,617,022,250,509,561,129,093,746,992,459,367,938,603,919,665,
490,173,854,827,444,708,941,458,901,149,701,274,059,193,987,760,798,268,676,
960,922,081,947,252,042,227,941,117,681,550,209,671,097,644,153,166,144,933,
412,506,813,921,821,282,865,873,601,567,355,235,473,240,701,725,867,265,138,
930,083,593,726,801,059,828,177,256,246,716,223,080,751,371,288,725,790,110,
407,159,297,566,251,670,641,384,454,237,684,476,900,212,740,116,006,741,035,
183,910,050,756,029,245,969,610,291,628,655,158,815,968,747,252,393,402,641,
170,694,950,706,577,172,344,963,004,132,418,052,944,646,420,853,943,787,844,
044,445,517,863,301,937,700,601,003,871,258,777,184,728,291,207,254,205,511,
943,442,129,099,349,873,922,463,213,550,610,817,865,075,791,858,236,001,878,
408,020,748,549,137,476,697,477,813,343,725,800,393,420,720,832,395,565,407,
322,722,218,991,262,813,178,827,640,930,710,304,082,092,279,193,649,276,276,
827,627,883,230,146,645,893,081,880,455,517,374,542,373,414,515,105,393,510,
996,224,369,622,438,059,190,093,084,609,872,753,783,790,518,406,377,555,486,
808,995,274,185,211,759,574,360,853,543,408,442,664,065,556,119,595,054,242,
250,098,024,810,347,315,603,707,483,923,769,265,688,428,082,831,334,878,529,
540,893,087,672,992,173,270,368,961,953,912,073,160,209,554,371,010,164,968,
735,404,561,507,980,267,439,582,774,263,909,626,759,711,059,703,606,388,460,
733,119,348,564,495,970,954,471,881,240,245,751,118,932,253,547,764,203,896,
384,142,461,381,147,200,594,058,536,374,723,004,650,671,989,483,063,812,026,
329,646,830,992,432,603,268,193,466,905,418,418,969,800,912,402,579,396,576,
509,209,176,322,344,371,083,055,952,067,047,131,225,581,470,257,044,414,220,
523,508,136,397,146,642,804,713,137,937,285,720,213,008,393,627,430,498,799,
916,116,386,958,706,207,814,295,351,805,306,879,158,342,867,650,987,061,666,
374,383,590,187,098,018,988,743,483,123,313,372,091,524,494,384,244,864,719,
947,728,323,836,964,746,820,774,420,951,236,438,169,664,126,500,746,184,024,
422,931,225,189,157,936,868,885,147,814,628,792,396,758,081,715,768,516,001,
683,913,754,592,272,756,764,675,968,717,331,116,090,858,665,009,607,545,616,
155,698,188,839,150,137,560,180,647,069,176,779,671,290,400,078,410,477,043,
426,490,646,722,694,894,772,044,336,910,756,668,446,154,239,879,787,274,524,
783,876,839,600,990,680,635,486,689,435,272,144,797,523,249,923,571,547,516,
931,840,935,484,172,079,637,764,303,617,182,443,091,300,642,731,843,491,302,
667,573,242,979,979,126,080,753,272,883,783,958,258,821,552,904,761,377,706,
433,663,556,232,286,674,848,617,587,415,341,225,825,861,790,188,857,243,818,
009,216,237,884,580,038,243,759,751,257,730,647,881,769,843,590,170,108,007,
919,016,944,246,366,941,315,376,311,949,028,637,907,678,111,208,120,798,316,
012,639,310,983,228,686,323,105,964,310,068,008,792,923,021,007,483,051,244,
924,475,215,009,691,532,402,606,674,684,322,254,568,319,210,201,575,436,416,
819,737,991,869,089,912,731,475,927,674,808,618,553,215,271,988,000,004,043,
920,121,713,927,709,643,956,996,372,291,190,778,827,600,836,395,027,518,299,
552,787,699,195,045,583,788,154,910,108,907,968,800,079,050,549,942,245,304,
977,189,410,113,743,524,898,375,937,402,713,272,051,763,966,739,050,489,189,
121,318,908,357,286,018,568,732,254,341,345,108,466,268,111,421,915,025,529,
995,554,290,743,540,921,425,204,634,801,050,290,123,680,514,087,272,584,011,
623,662,551,539,787,042,719,515,529,571,616,353,481,635,824,394,013,735,051,
445,047,623,349,702,477,837,650,087,363,172,004,077,809,310,468,700,357,099,
301,250,729,154,312,160,977,776,646,266,409,643,929,223,724,989,888,990,227,
963,186,836,554,948,472,633,771,051,924,343,492,030,852,133,003,801,192,314,
218,658,877,208,200,235,195,339,705,395,698,124,672,201,900,207,736,785,817,
792,377,512,966,363,864,894,490,394,469,494,365,997,513,501,338,180,122,767,
640,406,327,249,155,909,794,536,798,461,750,467,497,183,036,262,722,750,718,
835,005,977,587,972,400,332,692,153,578,466,839,541,694,375,618,056,344,628,
509,306,165,205,398,023,153,970,190,766,913,453,934,908,428,582,860,870,305,
763,374,194,028,195,769,502,183,356,933,902,335,454,159,489,729,498,020,831,
194,520,990,490,196,691,579,657,098,035,048,832,714,206,899,977,320,179,689,
868,625,517,681,141,096,056,172,757,058,221,939,123,723,440,782,767,129,172,
493,426,618,947,503,516,815,198,860,444,804,702,750,898,413,970,595,121,635,
612,937,377,994,532,813,802,396,685,764,386,211,785,693,662,016,437,966,643,
482,418,835,612,974,825,078,759,767,239,722,746,962,824,556,762,381,950,798,
564,404,820,702,330,953,514,495,642,358,395,699,210,314,925,336,106,102,412,
822,789,097,168,467,034,816,405,129,757,974,833,299,693,507,586,308,851,697,
452,274,144,091,930,119,665,280,334,181,782,869,295,996,252,725,096,696,611,
787,530,618,215,235,805,586,454,886,093,119,574,933,380,220,366,249,110,381,
069,003,875,599,706,936,554,842,901,466,292,890,060,593,880,013,572,526,182,
637,632,390,036,124,941,723,889,224,900,035,847,911,242,418,188,941,496,168,
717,346,898,685,122,488,424,259,663,747,854,045,525,381,724,955,616,096,905,
653,945,462,598,712,329,179,067,096,456,904,718,395,098,307,514,754,465,379,
372,010,531,010,744,623,057,316,515,376,527,912,480,387,823,350,585,931,924,
766,122,453,029,905,107,271,517,080,563,923,098,143,006,523,824,375,438,648,
477,318,516,958,948,544,646,643,291,224,502,410,353,261,075,952,497,767,557,
182,622,085,214,320,819,681,813,351,945,313,641,372,749,055,619,367,142,208,
992,577,067,781,999,608,369,171,097,966,433,520,625,494,686,165,140,915,757,
657,544,177,426,481,006,918,156,955,001,322,181,743,267,406,600,882,978,456,
411,812,068,368,168,655,700,376,989,164,603,661,189,847,940,167,916,578,583,
533,177,001,819,854,858,771,817,214,610,180,221,204,044,955,204,169,586,009,
973,506,504,814,513,653,379,493,340,160,032,849,239,038,592,396,591,665,563,
119,106,805,706,346,551,825,015,302,131,552,055,972,547,784,362,590,063,866,
770,315,180,322,428,786,631,935,136,563,382,940,744,382,177,666,121,852,211,
410,264,177,069,538,531,267,289,263,438,857,500,053,788,500,093,622,888,991,
829,585,582,263,595,611,957,989,030,951,290,454,903,492,556,026,691,492,192,
431,534,557,191,466,842,325,284,011,802,889,320,642,482,156,269,310,623,764,
637,641,872,759,783,044,152,384,052,186,875,481,335,137,847,989,823,857,362,
115,198,587,461,697,706,854,887,428,872,688,648,659,829,033,382,230,640,405,
561,850,911,801,106,528,053,953,533,883,184,095,349,102,310,823,350,039,412,
938,083,354,387,758,529,587,290,289,361,749,091,035,839,098,520,219,723,490,
451,641,370,155,320,707,290,363,108,113,011,442,999,397,306,537,553,637,982,
270,165,510,646,470,562,440,311,347,321,029,155,110,728,597,776,503,324,185,
023,644,797,852,840,379,937,163,029,011,849,720,019,894,566,777,774,637,942,
924,438,620,910,020,994,634,821,434,867,863,157,596,180,677,529,131,660,535,
013,794,975,886,277,211,588,959,039,342,559,927,603,182,872,905,109,241,895,
292,529,529,639,804,059,238,056,002,167,716,948,019,258,008,812,694,908,788,
109,983,519,332,244,409,236,832,630,180,314,183,003,654,209,647,658,080,199,
194,578,701,598,345,588,131,316,049,719,055,379,059,229,942,746,881,157,853,
932,671,139,627,544,038,603,822,281,842,188,486,157,645,790,189,875,430,027,
856,810,304,021,700,970,830,420,282,114,130,107,344,058,002,382,251,614,958,
093,975,218,239,703,032,819,474,207,611,540,373,407,064,257,527,166,334,675,
202,454,286,930,894,138,702,987,875,965,310,100,543,928,014,825,424,625,236,
787,629,784,189,314,174,268,054,768,411,981,586,276,722,456,194,803,328,793,
523,414,304,927,355,130,021,250,821,289,479,144,631,521,284,741,204,960,626,
282,648,480,083,115,758,293,407,026,316,144,189,559,668,242,899,021,706,846,
322,068,382,554,036,660,792,254,565,905,744,757,165,493,992,745,450,611,585,
174,709,462,050,292,172,733,851,955,150,290,892,492,007,917,113,270,277,019,
955,042,842,599,773,482,863,616,395,110,210,754,209,423,147,967,221,922,987,
845,522,371,841,982,226,050,173,303,295,852,755,001,825,837,844,020,683,493,
501,559,204,803,920,903,586,259,978,831,335,633,669,507,995,360,893,962,331,
558,854,670,472,447,499,575,691,634,905,684,225,040,501,488,383,828,346,450,
405,690,484,532,234,505,399,367,983,481,141,896,238,797,209,264,025,374,369,
512,450,617,505,475,846,441,024,100,444,768,401,785,093,457,962,761,533,331,
202,687,940,221,885,746,023,748,014,340,356,148,336,404,893,412,427,051,679,
014,499,517,732,879,141,628,986,880,453,621,264,109,697,232,842,953,501,334,
385,005,470,180,189,461,293,572,409,734,492,894,500,677,036,410,353,058,158,
246,953,918,008,375,349,814,923,117,013,350,565,578,082,000,426,247,219,451,
498,149,897,448,958,798,335,811,677,092,155,244,869,575,282,298,218,942,087,
742,078,439,195,098,344,601,622,402,854,076,896,760,420,421,976,565,603,559,
873,450,999,846,119,986,216,325,140,936,998,494,219,833,112,970,470,704,523,
951,780,531,689,384,960,672,765,539,352,595,603,280,199,102,114,837,456,875,
455,970,802,409,265,386,111,813,158,401,812,329,916,411,702,564,490,708,952,
041,000,291,275,931,194,031,611,093,941,889,019,727,877,880,557,954,390,657,
673,702,908,271,896,785,462,158,502,755,257,030,698,389,962,178,444,653,168,
282,207,308,882,403,959,624,305,101,680,470,772,339,900,633,867,293,152,137,
533,609,545,599,385,728,655,571,762,712,001,309,607,966,600,509,340,473,323,
791,707,304,402,024,889,149,152,528,857,513,529,248,016,093,868,086,214,666,
547,182,322,725,138,741,286,015,635,402,807,913,107,686,269,217,065,244,253,
282,576,306,074,266,478,082,187,260,435,917,154,319,261,526,322,048,030,507,
604,530,633,870,215,212,458,863,343,627,826,974,627,750,752,113,789,331,075,
106,660,204,366,026,644,472,929,936,968,286,534,587,600,724,398,175,132,200,
427,986,627,466,151,041,385,707,498,003,556,682,533,339,220,260,669,800,291,
975,031,841,109,049,703,715,275,096,825,447,711,811,406,083,013,504,771,729,
851,069,392,931,389,920,969,876,661,035,997,787,813,124,447,883,711,259,288,
408,180,027,579,463,875,587,003,027,063,663,075,339,372,187,158,870,613,021,
029,242,804,236,872,135,009,476,144,432,536,627,774,066,726,340,742,163,203,
824,747,045,605,913,763,930,015,479,070,074,371,908,581,908,300,484,749,470,
333,292,268,835,996,796,784,483,461,543,418,321,036,148,709,648,276,593,147,
984,576,205,501,016,312,216,264,624,010,728,205,697,277,327,273,430,424,738,
017,877,571,671,062,454,797,022,061,819,434,346,650,222,543,810,813,457,359,
357,119,512,076,877,695,829,578,953,251,997,526,142,539,354,062,811,571,972,
193,574,805,550,658,164,871,929,583,447,066,209,245,295,080,882,720,784,134,
065,013,807,469,655,113,896,665,200,434,585,247,530,105,255,579,296,875,830,
307,349,633,925,264,554,948,173,349,682,989,745,617,513,801,969,025,747,140,
211,960,041,414,885,889,281,405,054,798,101,539,644,289,450,585,323,493,612,
880,022,249,698,973,491,108,088,202,225,906,406,724,949,399,639,951,311,309,
895,456,956,014,934,261,522,494,693,686,114,846,724,067,380,801,113,049,888,
453,370,011,222,000,502,558,563,847,991,535,215,303,645,128,388,954,501,313,
613,945,541,942,486,038,093,228,342,875,075,261,083,347,737,832,249,095,285,
429,000,299,037,724,020,195,242,880,070,704,327,259,122,830,214,371,730,957,
609,035,183,456,891,793,842,605,128,614,732,290,301,037,391,725,996,858,469,
234,014,574,941,703,308,624,537,144,130,767,864,964,454,980,347,769,430,714,
357,360,960,483,366,228,865,040,183,176,181,101,770,734,403,499,501,415,681,
531,766,092,816,470,789,119,225,771,803,952,623,816,174,599,331,292,298,966,
766,594,675,097,631,027,759,526,272,343,833,898,234,313,185,242,551,718,331,
519,410,586,995,343,581,532,777,619,730,751,627,452,993,967,720,839,953,919,
985,499,853,579,819,705,374,778,765,764,742,977,502,821,537,753,209,243,595,
093,231,176,047,269,171,424,880,519,658,480,084,403,243,499,249,008,544,893,
152,281,764,775,934,598,827,138,775,540,336,605,563,475,027,565,158,427,062,
344,666,501,429,517,336,813,156,947,737,871,149,168,143,319,304,085,363,410,
853,255,582,271,223,531,646,254,923,781,806,355,077,933,311,105,521,067,250,
490,833,147,173,713,373,622,791,008,225,019,456,605,150,410,885,077,986,297,
560,903,518,963,140,665,525,400,229,841,581,291,407,212,768,009,842,635,718,
222,556,452,518,552,304,710,996,257,301,275,310,822,085,982,346,907,830,368,
282,427,457,757,237,477,911,831,057,198,603,054,666,386,619,073,514,531,428,
392,749,656,966,372,869,082,532,614,915,361,704,235,413,603,643,063,078,559,
437,437,907,100,656,058,570,887,859,514,212,762,783,835,865,862,567,591,531,
019,022,632,508,494,217,840,597,049,334,573,689,970,431,606,147,924,200,157,
675,065,068,017,603,685,925,182,848,300,785,025,879,791,816,240,986,509,367,
943,502,664,131,915,373,636,279,977,793,810,652,109,900,852,242,936,405,947,
901,955,056,851,263,183,516,091,105,684,353,450,026,616,065,078,458,896,810,
261,954,501,752,650,822,229,016,393,017,558,842,606,403,412,532,984,617,587,
941,383,972,853,881,364,749,067,104,392,164,144,984,122,523,127,262,881,211,
971,541,838,942,633,712,237,087,506,601,050,694,629,041,164,671,646,109,053,
426,901,715,753,298,094,512,991,255,720,613,750,562,117,369,360,125,386,725,
591,400,832,817,927,721,096,407,267,335,848,981,191,954,069,768,757,585,300,
767,259,775,872,202,783,175,716,995,737,548,187,134,246,517,576,321,470,836,
869,207,512,424,096,128,755,936,448,285,672,551,331,498,339,306,765,899,735,
878,105,207,777,590,920,992,038,923,037,460,445,240,169,229,969,335,273,819,
400,688,031,699,327,862,850,521,372,545,824,088,261,678,501,635,415,844,070,
969,876,753,545,032,089,146,956,043,629,902,337,550,925,740,794,205,373,923,
749,534,651,033,709,959,497,737,468,982,942,887,186,411,461,047,102,505,494,
478,412,318,106,951,957,945,077,637,344,504,847,657,416,003,498,538,747,556,
985,974,453,400,505,353,869,261,669,035,205,342,619,094,985,933,505,002,313,
297,632,179,596,697,922,187,830,487,248,859,370,172,337,276,727,425,703,749,
657,101,926,289,038,858,663,222,282,424,287,331,450,971,232,000,294,224,449,
080,821,234,501,070,422,973,795,607,227,595,816,326,236,232,728,589,649,018,
666,242,491,618,349,809,043,369,344,185,814,015,227,130,048,372,315,994,473,
571,884,070,268,334,033,250,958,145,009,316,371,379,337,991,492,214,273,276,
789,775,663,423,215,977,783,008,164,660,807,959,646,397,247,596,135,815,682,
645,471,209,045,741,078,180,270,931,351,823,768,915,154,310,266,467,070,794,
269,196,664,931,627,880,915,260,801,603,855,360,480,506,742,233,121,977,248,
077,454,084,789,906,003,753,410,796,657,320,685,101,546,470,184,775,493,105,
085,068,679,365,849,042,630,213,400,098,147,117,482,555,728,258,268,705,708,
321,084,208,198,279,586,471,048,267,964,655,459,191,432,535,660,167,183,303,
583,541,831,392,820,262,448,786,380,121,725,688,942,103,991,369,524,496,915,
332,115,032,684,633,233,756,248,672,796,257,764,457,730,499,849,392,911,282,
454,708,377,305,961,478,117,185,957,460,124,806,080,909,625,172,825,024,230,
331,040,025,100,582,663,022,788,016,492,909,877,420,379,274,974,544,510,266,
430,822,475,260,203,050,612,853,880,701,486,236,353,408,125,507,160,335,786,
522,293,817,713,885,043,107,874,471,338,342,071,846,834,716,985,136,317,180,
383,020,676,783,504,919,522,316,377,557,276,141,596,078,962,849,337,273,786,
528,992,310,402,759,817,570,801,553,865,086,474,664,069,489,918,955,698,774,
685,716,039,172,778,535,163,657,481,022,182,437,137,260,993,021,284,701,829,
933,689,664,714,969,753,597,364,763,150,324,035,972,989,185,497,053,693,865,
708,192,819,637,131,531,169,364,957,939,572,843,699,060,679,737,049,919,266,
443,648,479,228,329,303,172,676,714,768,953,806,828,197,963,673,868,412,150,
987,016,907,372,823,520,549,591,415,601,945,154,868,967,245,371,341,589,731,
872,987,244,021,182,156,221,502,748,892,763,111,592,168,470,717,352,895,793,
376,691,194,528,595,781,446,984,902,307,073,928,032,488,928,304,051,234,588,
075,040,026,137,400,770,786,130,523,854,314,660,978,423,586,315,605,808,096,
203,423,238,187,548,861,983,325,526,599,219,857,706,960,184,226,494,427,801,
323,289,261,042,334,257,324,011,035,743,992,258,125,002,818,965,114,463,655,
384,449,133,891,258,309,582,658,881,942,031,319,582,880,621,605,356,860,179,
431,400,265,397,963,216,669,948,135,134,514,734,402,542,731,446,783,616,541,
911,097,524,395,111,765,332,534,992,114,044,344,135,342,769,553,326,171,589,
716,678,448,906,100,999,676,343,678,853,107,768,795,504,434,606,209,199,264,
067,344,482,572,878,380,171,065,850,669,887,831,671,282,129,798,009,743,091,
969,844,689,589,349,088,207,703,762,734,017,146,852,906,676,392,501,650,166,
217,158,492,467,725,021,812,524,666,253,803,024,077,756,507,688,441,432,829,
965,586,067,157,878,012,305,460,325,402,580,208,741,606,331,650,728,521,531,
317,259,617,274,934,277,887,766,124,802,551,689,493,343,550,567,691,104,385,
159,170,567,034,683,870,389,479,709,795,551,590,404,961,512,044,925,695,520,
866,974,766,975,102,014,817,149,351,036,553,236,489,081,373,391,989,518,496,
615,341,299,022,477,305,320,342,618,256,587,319,577,527,536,988,623,281,530,
358,524,696,764,426,793,142,578,215,695,773,471,455,979,282,757,301,022,079,
792,054,036,946,001,434,925,190,630,896,364,479,849,450,103,558,301,800,423,
683,909,885,692,134,620,449,121,397,985,746,314,214,831,678,102,223,418,611,
842,083,067,669,804,689,874,975,906,875,158,531,426,998,477,812,824,971,484,
418,852,088,688,898,004,653,082,912,840,313,178,820,595,586,538,760,809,643,
843,746,038,002,079,810,948,492,192,201,848,742,547,566,487,949,936,019,780,
390,054,392,209,216,071,020,045,852,128,737,296,325,905,868,464,236,594,146,
942,144,427,921,778,165,178,130,606,429,951,550,838,691,262,656,953,716,055,
292,088,303,178,791,693,127,753,814,117,283,961,322,226,102,443,332,829,347,
949,819,279,391,821,046,416,607,591,978,085,042,724,849,458,129,478,594,297,
128,617,927,302,050,977,781,937,742,208,098,804,780,905,598,226,224,750,004,
735,854,206,043,374,246,463,219,753,021,494,948,873,688,569,052,913,191,089,
158,009,949,747,673,595,588,075,441,215,885,025,425,149,805,799,252,833,306,
960,669,417,868,696,780,768,887,155,383,094,863,109,339,858,062,570,750,991,
535,130,839,966,808,960,348,099,779,677,590,931,982,474,143,271,835,528,023,
720,234,152,472,412,272,619,224,684,572,636,682,947,791,181,948,473,713,548,
752,605,543,374,690,703,820,730,395,121,629,482,871,324,236,053,254,444,122,
924,888,107,934,525,995,834,891,996,897,983,996,884,591,705,556,129,001,335,
688,602,887,910,453,602,393,988,528,454,807,728,912,452,219,137,905,559,651,
599,832,444,674,664,323,566,797,540,506,268,406,850,185,603,327,475,357,164,
468,291,683,402,765,181,417,270,095,448,812,183,977,710,486,377,824,459,010,
464,583,176,241,216,194,995,367,583,704,406,756,763,663,783,217,376,848,517,
242,284,239,089,719,165,947,903,831,839,359,499,838,055,391,723,668,384,217,
662,567,759,477,751,944,368,213,367,411,500,628,017,040,397,101,966,811,915,
347,707,439,655,147,521,362,235,918,963,419,608,729,621,501,537,886,496,437,
580,061,599,465,879,704,016,986,185,651,683,764,452,587,434,004,805,119,130,
260,571,350,505,950,553,620,796,050,959,016,100,857,578,106,582,471,630,435,
573,230,178,448,620,931,690,559,129,261,693,251,180,439,240,554,339,845,428,
101,394,616,343,620,298,471,412,571,964,379,635,353,048,932,270,505,847,650,
034,872,249,463,608,651,298,081,636,391,814,454,604,771,453,081,620,343,224,
157,792,423,999,835,731,211,735,095,456,048,155,026,342,767,572,539,249,290,
895,767,311,249,828,982,776,712,903,187,505,583,520,453,362,857,143,827,831,
697,713,352,245,695,346,042,949,553,248,056,042,609,994,743,657,675,163,526,
202,290,785,737,900,278,652,102,135,788,766,379,363,216,240,332,470,325,134,
061,095,999,986,676,960,929,815,837,629,820,643,086,577,825,853,189,616,808,
750,738,838,346,486,650,859,019,124,676,369,976,626,290,115,026,879,537,985,
493,286,091,736,092,656,725,211,521,222,006,345,537,093,590,272,593,991,748,
912,368,538,217,917,129,155,082,485,187,708,299,434,013,253,569,879,344,830,
871,976,282,600,157,493,280,950,884,704,550,563,822,455,825,142,404,522,323,
481,919,180,949,677,484,948,429,644,704,939,135,625,161,422,230,559,855,791,
014,217,183,332,628,341,543,282,140,562,066,886,717,743,619,907,837,398,351,
192,498,651,541,410,918,916,964,468,860,253,439,923,710,255,383,261,043,314,
368,181,011,718,472,945,749,669,273,438,193,699,095,918,359,483,546,875,959,
474,128,554,292,952,393,389,064,852,689,357,354,837,872,421,650,717,827,460,
903,414,090,013,737,730,906,672,312,150,260,432,513,600,458,596,360,564,247,
437,513,694,039,661,141,963,478,473,860,411,438,191,443,468,240,688,536,866,
805,031,435,085,379,681,652,046,337,794,185,290,534,017,250,863,177,354,648,
099,513,981,270,965,354,965,132,767,482,160,771,233,647,745,431,787,442,502,
979,187,942,507,654,153,431,276,966,935,746,129,254,406,424,038,887,998,370,
118,315,471,255,099,798,305,052,935,878,309,350,892,225,822,491,623,669,412,
570,796,461,866,235,827,075,360,200,397,880,416,206,307,647,997,992,020,183,
075,631,722,911,245,183,175,682,782,985,981,775,084,915,650,123,571,472,374,
759,597,880,717,016,153,201,392,669,475,848,129,178,476,232,939,831,686,421,
859,894,477,277,758,602,689,486,940,015,981,963,610,642,788,930,497,699,905,
638,284,931,839,520,927,439,145,861,226,987,323,790,001,128,037,858,071,979,
287,543,690,699,978,175,159,559,358,256,017,767,640,254,409,218,295,175,726,
488,391,987,184,074,405,620,349,559,982,245,864,385,036,074,722,772,631,266,
030,731,357,888,300,854,948,807,216,941,536,238,688,065,662,967,995,542,245,
486,721,528,639,724,716,401,550,576,897,800,924,393,269,893,983,457,101,272,
928,384,890,062,285,218,209,282,450,816,039,528,876,543,989,865,485,293,754,
692,045,154,431,466,780,581,842,499,988,173,519,765,670,774,319,796,131,253,
755,017,787,784,533,857,507,650,407,661,647,259,254,049,673,468,069,264,147,
972,214,369,231,173,975,822,794,964,648,493,334,113,277,060,551,418,748,419,
829,599,894,168,514,473,308,042,255,384,814,234,538,768,716,141,331,106,470,
127,900,650,712,228,960,510,710,504,797,175,175,724,370,728,652,200,395,959,
804,583,995,710,396,391,412,674,275,139,396,722,274,723,874,683,391,336,572,
679,429,879,434,049,389,717,709,383,465,390,983,343,873,195,424,304,728,912,
640,954,436,471,604,329,596,832,882,931,365,935,479,859,814,607,006,657,748,
253,549,982,666,877,549,544,598,415,097,884,446,859,798,866,319,636,009,008,
669,690,460,008,066,923,435,189,506,014,085,867,171,911,511,414,973,574,491,
517,387,726,865,675,245,890,275,750,256,799,722,330,584,835,851,408,660,524,
085,802,466,944,335,135,180,404,741,670,723,312,249,845,140,483,768,424,882,
335,727,165,953,648,066,823,195,970,991,500,215,430,616,423,065,952,481,597,
371,221,263,819,796,285,743,207,289,029,157,991,544,773,813,442,130,365,364,
597,647,925,167,540,378,240,374,684,922,241,751,476,673,668,757,948,598,755,
089,619,401,964,745,256,779,266,258,183,572,303,444,593,172,229,147,668,527,
744,461,789,297,814,218,061,151,081,188,275,024,670,020,837,437,627,202,817,
471,825,794,073,742,232,340,722,778,911,860,959,156,560,215,966,171,632,017,
534,859,803,048,949,434,238,874,551,685,233,472,023,561,305,863,630,295,761,
109,341,609,257,255,157,914,653,248,345,616,264,073,338,202,701,618,558,786,
798,611,664,759,163,007,055,055,111,468,561,721,399,454,118,157,406,651,406,
728,169,546,892,780,499,806,630,691,773,209,125,439,264,890,633,542,033,778,
061,805,635,421,898,985,044,278,861,645,101,855,502,211,523,687,603,433,812,
300,916,484,774,052,713,890,257,667,203,875,260,461,666,426,664,261,259,518,
517,747,589,440,805,490,959,796,973,785,191,351,569,996,359,090,499,135,924,
921,980,381,207,259,598,023,428,190,431,010,442,468,487,512,462,835,776,667,
154,703,979,711,287,355,157,036,946,393,999,860,073,671,962,412,308,673,836,
019,971,658,369,323,368,984,803,247,870,794,198,427,035,272,335,467,245,139,
382,058,993,938,232,911,894,409,485,728,677,702,977,869,253,396,899,326,874,
881,616,705,516,677,604,026,618,021,742,427,272,215,743,972,294,160,994,634,
893,367,955,367,431,521,582,787,479,753,948,655,023,407,787,062,581,687,261,
294,135,382,839,171,861,770,555,279,950,557,578,673,319,961,412,697,550,042,
149,476,483,214,934,314,860,280,626,636,880,736,740,380,829,842,368,194,897,
906,548,574,173,427,415,166,992,701,220,165,067,305,804,443,505,897,597,649,
095,422,789,484,039,780,119,169,489,380,060,685,993,876,697,175,565,457,978,
401,164,180,100,667,262,500,714,027,119,861,170,064,007,839,913,797,179,403,
846,626,296,259,542,968,294,727,168,530,858,907,067,859,678,700,355,029,486,
763,790,140,600,553,062,018,946,985,705,869,486,988,758,544,681,792,286,364,
804,427,196,799,960,896,632,004,913,231,888,559,859,983,205,836,972,726,555,
465,260,943,931,571,969,697,480,482,403,688,894,585,662,445,595,654,600,193,
508,448,529,615,732,575,042,710,352,532,909,868,337,281,268,519,560,917,342,
118,859,271,969,794,195,583,616,304,309,576,590,325,254,547,582,339,664,253,
388,555,698,929,949,877,617,797,467,598,994,892,760,361,082,373,702,972,208,
775,055,612,470,610,228,619,148,471,329,927,065,836,686,738,909,104,464,662,
769,660,649,257,026,318,847,295,495,209,516,360,901,971,358,071,923,810,452,
022,079,317,535,970,660,699,634,624,328,426,021,637,280,623,724,043,847,798,
614,728,438,782,037,517,493,150,064,076,099,052,909,273,983,247,585,800,494,
116,693,968,017,125,150,016,909,339,683,231,932,669,237,328,003,327,816,439,
295,016,814,219,354,917,466,303,858,389,091,276,458,081,635,629,372,203,934,
428,705,092,025,625,467,398,685,592,091,406,142,755,266,185,973,823,397,409,
413,072,992,033,563,428,115,497,094,165,284,808,635,768,665,978,005,410,132,
449,277,317,831,684,128,554,710,776,626,555,674,513,538,560,377,108,020,148,
459,779,329,422,689,007,026,629,981,984,763,456,238,942,609,179,495,990,492,
956,729,578,161,059,278,256,202,655,342,410,916,267,158,096,328,768,883,179,
955,089,079,045,516,705,702,370,913,761,642,883,980,997,942,888,885,979,861,
611,582,451,351,160,092,166,028,163,734,636,287,661,814,358,024,288,803,898,
504,539,960,687,974,037,526,693,246,836,653,524,986,046,429,635,208,147,194,
270,618,334,271,980,508,206,989,331,971,541,283,740,611,261,831,928,527,440,
945,945,302,997,101,767,398,796,250,105,259,109,548,628,540,051,731,520,703,
594,749,449,807,779,269,320,395,195,295,409,507,231,248,147,707,006,772,251,
586,756,992,321,553,284,931,486,651,859,909,552,296,442,266,747,487,086,066,
823,236,772,041,588,598,324,435,013,506,562,851,750,234,300,841,552,604,338,
328,041,649,560,652,825,458,549,674,274,864,275,736,971,959,175,719,611,434,
090,207,490,525,704,421,874,443,226,090,338,911,239,449,099,000,001,938,100,
066,463,410,039,584,582,011,360,679,460,624,716,833,054,419,368,113,092,851,
873,133,532,130,198,677,154,538,111,071,943,418,595,078,954,677,890,814,715,
498,729,627,420,539,836,743,711,483,547,526,936,943,243,631,935,232,495,826,
844,548,521,650,040,126,144,742,947,584,357,939,788,646,094,652,481,263,598,
035,500,052,219,892,953,517,387,579,386,863,826,466,823,236,780,477,606,139,
537,915,684,865,320,663,971,462,456,609,536,481,048,089,322,044,057,824,251,
202,593,381,230,854,589,493,944,102,452,991,848,209,752,489,611,429,056,622,
792,953,861,755,631,860,523,979,511,660,271,363,571,076,691,655,913,516,228,
908,695,971,924,718,060,052,737,244,032,969,266,096,072,850,374,567,727,590,
592,075,856,206,582,833,987,957,539,223,647,478,579,501,135,889,731,930,177,
546,909,582,982,140,159,556,430,010,179,218,003,698,963,574,562,941,709,806,
177,706,464,993,813,342,434,494,159,688,193,832,123,381,930,955,490,064,060,
264,203,738,392,565,699,968,933,334,607,087,618,938,487,129,789,645,447,231,
682,070,083,391,670,933,409,280,128,510,993,119,781,676,835,541,744,317,431,
533,877,067,724,785,963,000,398,376,238,535,919,506,925,875,014,458,829,374,
260,161,444,408,225,230,645,254,747,345,373,202,443,307,249,874,836,077,187,
037,793,010,563,327,489,885,588,124,556,861,282,013,447,955,726,969,859,697,
162,404,621,257,127,387,047,258,070,122,316,113,997,818,696,427,232,761,506,
164,096,387,408,514,457,868,461,198,437,294,335,640,890,954,337,514,135,059,
829,187,913,533,260,533,455,453,428,738,905,091,721,843,575,226,291,577,865,
499,059,079,681,038,948,278,467,711,654,942,426,984,023,533,960,773,327,230,
092,390,796,420,641,398,181,182,314,489,098,749,039,484,533,721,972,232,461,
656,121,640,700,497,385,252,575,112,972,280,736,861,179,959,317,259,729,522,
170,294,121,797,560,288,136,445,110,740,419,439,805,717,355,621,081,063,533,
595,285,224,963,236,321,816,748,291,324,414,410,332,713,793,860,723,658,624,
334,167,979,181,886,091,013,338,480,021,097,168,506,632,307,788,858,183,847,
882,499,866,125,348,789,251,343,254,273,135,902,495,771,019,082,106,761,604,
599,901,082,479,873,482,369,309,399,432,344,425,893,780,505,845,369,439,711,
747,078,913,870,587,775,128,717,962,626,059,867,446,114,466,451,882,386,249,
810,293,641,128,675,813,384,580,149,341,965,473,335,633,094,154,270,505,479,
337,679,336,488,871,260,857,060,938,950,598,346,750,538,110,745,914,563,774,
521,358,226,389,807,851,046,541,776,125,321,493,121,825,949,814,221,794,782,
916,864,405,577,461,676,407,087,506,719,257,445,970,596,092,561,492,869,159,
586,983,929,886,169,145,008,846,404,777,992,661,891,411,645,801,655,812,185,
252,338,339,253,299,706,162,658,595,616,811,577,977,000,727,205,860,203,105,
312,700,214,188,880,828,623,027,961,307,474,560,464,894,327,409,911,989,443,
468,773,616,187,608,064,886,266,623,328,843,484,289,037,756,580,944,401,285,
219,989,247,135,860,657,233,306,781,813,336,587,866,611,677,829,602,379,281,
995,049,368,219,316,215,840,784,949,355,756,102,068,907,646,295,109,479,801,
697,638,997,144,421,666,524,368,347,443,341,043,597,885,038,383,302,252,757,
179,122,938,686,373,415,445,986,010,333,583,134,048,998,727,378,559,288,931,
755,077,951,309,751,272,250,989,932,322,764,629,485,788,913,409,289,645,910,
319,102,635,262,524,229,302,288,308,906,404,047,840,823,545,125,584,298,230,
134,549,111,364,159,295,869,659,655,518,636,406,660,310,426,360,287,435,672,
701,978,995,049,516,418,286,176,175,546,267,054,766,419,515,196,426,763,508,
143,775,907,058,583,663,209,981,658,313,059,617,118,051,800,660,345,234,418,
201,897,621,588,765,769,958,490,875,741,110,224,219,392,136,320,659,708,834,
899,442,199,514,456,821,596,832,253,278,886,257,939,613,960,879,205,827,172,
402,440,851,676,979,453,872,600,722,344,477,972,449,447,065,402,564,281,479,
212,989,169,473,733,547,088,755,833,877,681,470,487,191,245,199,875,861,787,
847,777,371,726,870,805,571,576,354,681,990,501,317,737,981,591,507,193,566,
569,096,935,758,863,925,603,339,350,570,977,578,709,210,119,484,503,482,268,
118,512,433,880,374,817,644,394,104,968,480,906,605,121,573,611,528,585,260,
562,256,297,435,470,573,448,001,413,978,353,887,322,378,045,539,782,221,328,
027,361,864,030,209,117,513,358,646,558,113,371,937,821,457,418,889,908,409,
115,527,903,238,582,107,556,294,531,388,681,674,198,453,148,290,116,498,109,
708,393,095,060,720,017,821,389,154,570,218,401,788,326,923,150,088,288,439,
887,524,276,563,562,590,868,409,358,883,248,947,057,155,821,016,144,201,123,
296,859,663,503,210,071,262,570,331,123,294,736,236,220,852,856,892,923,517,
692,627,552,320,418,430,965,934,470,911,237,395,990,675,611,432,223,433,843,
548,779,972,274,756,031,159,116,576,853,754,123,815,692,501,433,970,523,865,
776,188,244,778,621,838,511,691,940,707,722,585,256,821,548,329,074,876,066,
176,795,019,908,166,295,997,444,573,326,844,143,993,784,283,430,375,910,880,
133,789,307,322,164,229,902,098,367,113,403,330,522,159,736,789,187,035,571,
609,703,152,517,589,714,931,523,914,148,283,680,061,453,019,681,862,408,832,
208,882,381,001,285,948,719,764,756,450,714,519,807,230,131,913,036,032,596,
659,414,442,110,385,768,062,350,787,596,442,426,137,267,973,743,366,433,813,
672,417,930,535,604,371,972,888,413,017,161,494,756,200,326,414,476,731,000,
064,729,386,578,557,020,288,906,332,461,604,877,970,846,563,497,835,090,614,
479,244,986,444,983,089,005,861,815,456,089,268,049,644,177,387,800,347,531,
865,446,214,977,796,171,011,138,502,682,718,825,013,491,077,998,302,899,554,
470,365,914,923,311,068,003,361,057,113,439,156,112,494,189,937,614,197,329,
008,303,501,838,820,073,340,677,485,459,546,147,520,534,824,194,956,177,675,
396,713,468,788,897,350,287,756,324,584,035,636,800,163,407,033,158,606,873,
660,013,155,944,944,826,935,662,306,247,346,445,254,195,241,937,480,951,915,
297,657,604,035,781,187,147,346,881,736,382,183,672,820,288,789,929,359,754,
731,459,502,336,512,673,197,050,099,000,222,064,081,098,979,138,175,226,260,
199,365,252,492,094,365,470,896,146,467,120,273,912,554,937,735,672,328,838,
065,626,460,177,912,487,705,190,050,235,692,646,714,821,792,254,797,311,408,
543,378,625,740,976,804,867,577,573,556,991,723,143,393,801,368,472,487,021,
434,642,049,648,347,066,215,182,578,932,951,182,532,671,641,419,053,111,988,
875,162,454,042,748,666,961,198,061,741,280,080,195,066,712,719,569,165,085,
854,661,488,868,321,793,368,080,344,854,441,550,003,998,627,926,631,962,361,
026,822,754,473,005,391,641,407,129,871,097,828,526,687,594,640,415,830,662,
269,768,846,935,533,391,405,132,433,880,622,013,114,817,110,250,692,855,991,
112,076,371,060,342,463,673,610,123,402,759,482,202,529,449,357,927,176,265,
901,973,710,650,804,146,409,128,603,854,416,293,936,130,924,223,871,600,092,
632,829,810,725,467,643,186,151,787,034,926,301,204,232,144,075,755,629,052,
288,294,448,226,356,117,749,133,917,872,199,929,962,228,244,827,261,966,062,
998,137,462,896,332,263,742,907,975,192,966,119,760,893,497,835,118,051,952,
561,843,713,309,667,185,434,347,483,659,550,435,555,930,215,318,427,683,797,
746,042,543,801,911,067,016,472,727,816,378,526,751,167,892,194,063,240,967,
821,811,070,601,618,637,872,717,809,516,270,696,854,536,557,813,415,141,553,
294,643,860,390,235,613,548,942,189,492,973,242,317,398,646,666,058,859,663,
101,407,696,877,792,893,619,464,428,459,217,286,481,824,901,960,907,918,654,
292,820,420,282,010,288,420,608,316,211,574,647,742,253,805,657,180,573,505,
281,779,756,395,560,689,706,068,331,615,846,078,112,117,228,013,589,679,875,
267,759,068,456,519,924,526,115,445,932,145,524,935,191,901,127,778,019,781,
317,386,029,558,621,905,740,745,879,842,051,323,017,358,498,675,851,878,583,
976,801,902,259,284,372,965,795,779,199,457,611,370,792,740,478,301,498,917,
522,989,774,881,427,883,438,714,070,815,082,010,006,541,414,027,118,200,381,
329,370,885,273,901,702,501,744,850,693,317,702,162,783,100,508,587,139,086,
058,379,528,192,036,728,377,150,441,798,830,085,211,758,607,402,701,849,535,
891,169,722,193,732,532,912,991,060,252,704,086,456,280,827,622,240,245,638,
571,218,856,199,182,138,267,012,014,101,430,858,538,759,246,661,489,638,318,
133,605,547,277,588,758,046,093,808,163,417,032,635,080,823,985,874,311,750,
949,762,408,574,781,061,662,624,729,996,600,597,011,371,069,184,323,749,722,
751,491,159,937,751,320,973,715,046,801,636,181,092,051,419,595,613,187,112,
926,373,922,551,567,781,401,473,286,897,921,271,546,465,542,348,281,462,415,
913,254,197,130,565,786,919,684,160,282,746,505,975,155,168,755,426,996,065,
719,911,092,938,896,546,513,702,218,072,618,109,876,382,808,233,335,514,459,
577,811,778,346,184,705,073,190,387,828,939,247,975,935,389,669,317,038,283,
039,984,505,166,316,917,529,272,122,246,639,303,639,817,198,940,220,384,587,
099,669,254,873,527,053,204,267,002,462,952,860,492,769,092,910,694,849,290,
726,656,898,816,076,083,280,379,243,443,973,656,100,140,743,356,373,908,704,
178,739,744,783,368,699,481,672,723,557,380,825,588,345,750,742,617,082,584,
471,250,989,432,747,975,896,830,873,579,950,541,830,787,419,183,748,719,458,
353,152,115,983,670,026,731,960,827,594,445,877,046,874,566,461,393,963,483,
252,373,053,358,812,338,020,863,573,462,894,786,633,392,816,177,333,876,522,
023,444,256,903,344,012,896,816,165,490,882,160,877,656,378,977,060,943,867,
960,484,460,788,503,978,095,985,534,956,073,169,035,386,386,024,665,852,899,
254,110,481,474,901,029,483,194,382,541,167,952,423,517,076,771,742,494,734,
505,004,151,220,388,741,538,498,655,680,678,216,982,220,345,572,753,195,086,
371,453,673,997,972,901,760,375,580,145,571,616,425,851,255,330,593,774,403,
915,768,030,790,367,106,805,286,470,251,445,220,983,857,142,483,778,982,179,
389,344,427,034,299,126,358,723,978,519,109,650,192,907,742,946,964,220,596,
674,108,322,459,277,792,877,144,653,242,076,494,279,936,171,961,481,925,999,
207,953,716,275,557,515,751,175,215,701,617,881,023,373,257,295,127,764,158,
728,166,368,443,966,846,244,271,263,699,429,443,589,756,972,025,570,482,369,
609,115,394,213,876,479,091,490,204,151,544,061,943,079,826,966,510,586,031,
125,405,890,408,724,697,494,735,369,884,375,472,789,472,404,561,846,230,665,
843,313,023,635,370,872,843,190,562,287,923,743,571,097,212,134,354,357,819,
832,915,811,600,239,855,648,098,557,465,997,952,816,849,561,359,454,301,473,
713,746,332,500,246,112,800,049,343,200,760,644,805,234,206,936,271,217,369,
499,508,533,173,707,115,027,755,191,832,889,527,307,697,285,734,266,319,939,
175,096,168,624,170,785,300,232,668,643,574,009,296,338,484,835,122,650,181,
156,708,418,597,496,685,263,374,720,555,685,323,621,967,158,694,575,071,480,
067,891,274,472,887,991,749,727,894,068,349,320,658,688,979,790,504,563,713,
301,020,419,721,087,811,185,697,063,345,430,738,000,640,290,068,904,432,256,
353,856,033,945,506,127,702,935,428,583,377,918,201,003,935,785,920,855,204,
427,758,614,798,906,486,794,937,882,905,128,398,513,974,979,104,453,564,853,
044,112,044,975,713,175,848,831,886,679,157,742,652,662,679,901,863,367,883,
649,396,671,193,453,957,736,054,372,855,833,857,811,386,366,377,494,793,181,
266,160,601,025,758,246,822,338,201,174,567,093,010,476,627,848,146,059,601,
983,346,753,020,901,750,801,910,196,390,973,661,805,023,288,641,217,460,408,
063,163,191,246,493,698,489,216,169,013,769,473,884,333,237,360,415,169,442,
178,948,120,263,147,396,485,174,419,629,131,773,043,903,078,927,009,873,235,
847,022,681,533,273,673,125,748,482,101,132,061,006,250,926,773,519,202,065,
008,354,907,362,394,869,073,237,755,556,524,778,464,921,218,099,582,615,489,
225,892,945,887,927,576,639,624,428,596,747,910,733,023,329,832,908,939,438,
702,370,162,276,297,663,225,726,928,402,571,861,672,638,324,976,136,433,143,
373,642,256,595,297,618,379,502,894,587,688,312,350,848,710,337,317,219,477,
698,756,400,025,463,852,907,063,456,018,727,112,727,866,705,288,036,376,287,
927,543,354,230,824,461,670,049,476,061,495,700,291,592,322,246,912,033,924,
119,114,209,057,862,814,046,595,302,510,866,252,193,377,117,206,233,031,682,
924,762,068,799,094,448,896,042,091,132,095,071,214,097,762,744,041,053,581,
091,975,736,454,864,472,222,126,709,329,948,894,483,984,962,215,880,483,652,
859,091,976,030,950,568,731,546,561,693,229,798,243,046,941,870,584,866,001,
001,472,718,094,635,622,624,912,026,936,982,466,289,790,327,492,851,232,171,
152,211,390,155,750,889,063,587,407,091,046,478,945,657,159,016,235,944,228,
197,749,758,454,259,760,983,147,858,292,607,078,605,865,102,367,634,115,532,
205,677,900,112,477,946,583,212,105,336,301,572,679,640,227,329,700,569,952,
806,931,284,848,101,198,532,835,483,189,560,174,568,994,575,368,736,122,286,
563,549,032,187,585,178,318,382,980,289,090,323,123,504,247,881,929,453,267,
821,013,732,173,345,250,782,098,487,731,010,718,931,094,596,462,351,023,129,
374,169,914,510,727,662,096,495,754,354,560,756,614,587,986,354,795,890,905,
759,965,962,681,704,863,628,100,603,505,274,158,978,880,245,647,289,245,492,
378,606,482,814,352,848,254,005,797,594,362,756,299,990,844,541,444,471,809,
066,147,255,923,303,893,778,411,329,713,752,627,263,902,999,566,927,361,667,
423,078,091,141,591,762,199,041,403,434,489,054,280,990,955,438,126,515,074,
074,168,380,510,348,079,960,144,293,593,681,358,816,624,106,056,103,120,775,
761,210,447,179,353,775,970,759,975,460,753,122,360,890,029,200,988,393,737,
747,686,580,112,276,308,180,367,131,341,522,829,383,475,612,893,078,536,061,
008,723,618,359,943,884,304,502,906,366,593,932,519,856,871,696,296,143,706,
122,749,986,299,189,611,043,162,698,352,415,231,591,460,732,715,259,530,854,
138,280,486,168,620,328,797,859,008,213,637,972,330,793,122,399,014,295,685,
432,652,386,607,025,936,771,774,204,887,322,715,065,876,984,874,363,766,166,
694,946,276,808,254,500,798,503,510,696,090,325,428,227,429,993,728,124,540,
834,958,821,693,628,191,859,226,416,652,492,174,933,472,305,986,859,246,942,
027,574,181,516,560,781,191,987,541,582,373,947,222,961,848,469,675,849,294,
804,428,704,415,966,136,443,376,523,767,098,780,841,070,805,597,213,214,598,
275,917,793,524,697,014,925,119,538,983,785,256,154,167,941,057,007,136,362,
978,381,077,229,853,468,359,363,664,930,237,348,509,107,517,953,508,463,926,
126,951,252,893,698,242,262,162,542,096,551,838,924,118,525,987,369,762,438,
930,780,822,995,148,174,149,876,788,173,047,532,207,746,195,943,088,971,790,
401,722,736,834,114,622,832,445,934,134,859,822,697,159,566,921,092,782,006,
413,144,584,550,085,820,045,051,771,586,606,786,478,447,211,464,728,638,803,
361,523,604,213,624,638,924,375,539,430,321,093,998,846,047,736,788,921,563,
498,952,849,030,487,013,467,859,128,198,869,186,784,160,575,623,995,076,808,
972,449,197,673,035,501,660,106,412,169,206,740,129,438,479,363,215,481,008,
017,970,426,161,450,177,683,812,987,633,935,512,545,496,203,915,989,907,313,
387,138,885,866,754,611,384,735,910,552,257,653,412,237,253,638,637,643,279,
722,318,689,579,228,939,091,329,114,154,303,276,264,373,713,021,088,817,112,
157,016,898,464,661,588,202,191,516,837,836,037,096,814,205,356,513,532,312,
122,029,406,554,762,775,383,085,538,306,162,734,873,340,655,841,624,209,756,
239,260,295,181,352,372,285,911,196,164,421,586,461,887,261,997,319,970,201,
936,641,039,629,191,202,695,847,184,077,074,783,517,125,719,667,788,893,664,
515,240,639,062,978,371,042,543,420,383,876,402,004,585,208,979,598,186,791,
892,262,734,053,273,978,439,120,063,738,313,575,002,141,948,056,937,783,259,
310,929,431,355,052,811,563,957,431,122,690,525,842,588,969,257,950,429,047,
005,442,722,642,723,305,840,465,046,874,021,983,378,608,489,437,969,480,954,
305,610,190,253,059,604,461,846,193,870,846,893,667,389,165,348,264,740,367,
273,094,252,888,811,768,840,420,969,086,146,958,665,405,272,607,997,256,709,
581,489,799,702,830,273,907,812,057,188,334,932,840,569,408,818,543,154,474,
189,503,189,346,807,544,865,774,258,362,286,464,540,482,135,541,707,195,762,
438,856,857,203,303,003,359,381,619,440,341,115,468,248,327,953,975,538,674,
020,605,591,534,804,979,382,895,079,725,905,760,532,691,338,655,465,449,928,
164,476,411,433,530,501,789,873,186,325,864,214,250,516,455,370,535,197,369,
977,636,387,027,924,078,993,045,305,822,471,403,680,799,085,377,980,394,215,
474,319,193,718,065,004,734,863,082,024,813,955,343,241,562,897,984,508,406,
990,318,716,784,364,405,929,149,096,329,173,312,895,033,323,861,902,164,521,
932,382,143,449,179,727,897,337,182,273,268,616,708,173,713,880,831,876,601,
356,060,004,068,267,160,037,069,883,748,600,666,148,297,909,573,818,486,673,
593,831,068,908,766,631,494,185,443,386,237,112,767,347,082,617,587,537,575,
221,357,154,766,586,638,275,031,857,278,252,895,056,742,079,883,926,245,127,
660,037,094,774,548,202,519,297,995,453,389,771,051,231,236,210,323,970,453,
364,565,581,360,822,158,735,819,296,609,666,745,847,718,158,529,677,255,744,
939,486,986,635,225,154,461,294,361,248,357,878,573,739,664,634,097,740,725,
584,036,528,805,075,073,163,157,732,596,312,240,669,294,593,160,235,058,799,
187,766,437,879,339,120,195,373,721,686,900,581,204,670,043,415,271,978,976,
068,564,765,550,865,136,820,183,937,836,926,955,804,100,821,381,903,511,967,
735,720,509,718,754,804,820,654,186,612,986,072,768,070,034,082,305,492,276,
945,560,609,002,639,453,552,072,894,016,742,579,364,000,998,928,144,790,806,
875,053,814,677,303,572,260,916,448,388,380,865,289,591,364,418,722,436,636,
870,122,964,137,148,921,487,326,282,965,094,954,749,222,286,122,308,975,166,
912,110,033,120,229,249,461,916,204,769,468,196,497,453,129,633,923,987,503,
467,765,111,090,999,711,958,400,070,076,738,986,433,368,758,113,556,048,582,
987,092,579,820,679,879,657,928,637,954,242,561,843,101,483,979,701,418,446,
992,061,429,074,145,131,508,066,676,114,510,533,319,498,659,220,759,623,989,
426,068,601,867,620,312,810,820,285,486,970,107,120,225,095,457,844,628,551,
943,672,054,455,887,283,077,147,554,647,422,969,486,569,372,554,376,450,067,
294,690,025,132,801,656,003,174,635,902,702,565,591,366,740,527,908,447,795,
288,858,972,103,070,662,256,604,986,811,012,012,762,280,780,251,463,879,873,
354,582,163,285,727,022,829,636,328,694,776,987,330,861,166,164,562,825,778,
636,333,408,184,400,203,736,568,818,915,613,047,182,430,954,098,956,863,950,
701,357,367,291,166,914,257,069,457,636,019,827,929,272,939,969,928,690,134,
001,493,259,355,572,216,280,295,308,102,140,923,378,477,945,565,151,902,626,
964,592,184,998,693,406,666,503,491,809,012,339,115,090,582,719,859,825,552,
623,129,200,750,606,542,912,606,272,246,106,157,809,329,549,394,228,313,054,
625,987,806,547,685,903,184,418,163,800,145,556,161,607,364,136,283,885,611,
612,735,011,773,468,156,791,755,494,628,098,775,682,679,098,428,738,826,599,
852,003,891,897,470,604,676,172,855,061,939,053,959,375,949,543,869,687,462,
585,849,651,158,279,406,910,746,487,729,950,255,323,353,298,501,957,949,241,
952,315,530,388,266,683,316,736,320,716,533,772,363,690,755,945,832,829,749,
980,873,868,248,662,987,807,710,026,514,251,360,631,103,743,651,756,195,021,
700,323,063,574,776,419,082,690,190,379,186,649,317,661,815,954,600,892,240,
559,515,239,281,578,921,208,134,591,390,577,157,482,637,055,011,539,744,651,
780,588,078,718,684,236,937,211,100,923,816,698,419,308,203,046,674,064,138,
737,775,253,163,941,558,330,249,052,598,408,564,704,624,060,463,160,296,808,
672,160,690,908,120,908,871,065,251,154,994,366,953,743,021,430,343,472,495,
050,727,594,869,091,448,866,229,989,541,568,587,934,220,640,910,008,366,668,
024,934,926,047,381,561,709,612,052,914,984,222,456,764,936,381,109,695,738,
409,385,708,587,490,580,698,841,240,736,067,502,408,322,726,250,056,278,692,
210,981,124,279,426,622,604,578,031,257,583,016,576,355,878,856,183,018,212,
098,127,055,301,669,118,028,022,182,103,751,160,135,873,867,729,361,567,461,
423,724,913,720,985,383,063,600,486,518,033,723,969,162,626,653,099,279,498,
604,178,085,870,611,324,711,647,437,727,763,641,725,700,645,903,212,142,838,
747,624,351,240,460,869,852,946,926,618,936,931,340,779,520,398,245,008,137,
699,887,697,394,232,027,831,030,038,199,679,037,162,729,506,796,527,077,440,
258,756,813,455,796,831,341,781,946,620,489,311,605,729,935,817,149,391,309,
195,063,361,423,693,871,943,990,619,451,069,598,465,453,950,240,025,018,401,
659,405,563,761,735,980,986,564,207,296,532,009,416,747,659,414,811,358,616,
364,155,506,849,174,431,058,970,671,368,248,101,729,324,335,069,069,461,226,
401,026,992,793,403,625,056,394,840,474,894,794,076,640,571,097,251,599,405,
369,751,583,080,975,846,786,895,220,479,153,604,536,278,013,932,556,999,321,
810,615,461,426,844,002,815,365,174,076,310,035,304,374,760,784,956,243,300,
543,324,173,541,519,962,906,091,582,980,940,194,779,272,109,406,140,208,542,
357,929,124,007,810,804,985,891,814,269,060,292,849,780,803,581,172,208,625,
432,885,376,102,318,730,188,909,298,076,749,253,692,884,332,212,263,813,488,
140,046,696,785,501,361,273,507,112,837,310,549,052,206,802,559,763,966,204,
453,162,005,540,735,194,261,754,449,250,094,737,860,843,317,884,639,502,876,
946,530,893,542,514,959,950,371,274,466,791,679,447,710,760,407,686,075,089,
437,843,593,403,313,289,399,660,246,028,320,525,344,453,632,653,157,639,925,
780,907,495,376,086,623,923,886,061,557,456,386,476,843,872,866,501,825,795,
425,285,685,076,350,612,768,942,648,737,019,000,585,082,592,171,047,251,384,
355,305,499,277,238,828,862,814,121,849,753,579,960,393,769,716,839,666,081,
939,413,271,273,765,570,324,073,705,953,219,809,823,178,175,610,020,379,212,
125,182,364,979,788,304,397,580,117,020,675,377,768,634,187,286,693,185,111,
669,589,904,279,049,344,298,391,704,116,651,825,252,615,388,788,718,585,362,
305,417,037,250,277,718,987,364,484,873,275,722,922,895,921,497,882,473,852,
169,926,283,217,603,613,496,189,292,564,374,522,077,912,992,061,455,463,401,
402,158,350,073,180,091,784,101,530,947,216,951,451,005,185,868,183,607,684,
090,430,956,934,520,346,708,819,183,589,810,228,286,667,413,299,045,035,719,
999,703,879,310,912,391,979,440,764,417,983,560,061,056,030,064,099,377,044,
737,381,939,966,759,758,952,986,291,272,752,559,453,232,168,888,716,980,556,
412,852,351,072,354,391,366,749,240,570,925,303,808,978,629,079,041,538,182,
342,749,447,366,370,428,748,805,284,004,683,728,798,566,314,134,150,942,835,
261,584,569,820,513,573,844,085,301,214,943,344,711,919,418,623,155,196,759,
980,337,553,280,264,049,074,223,077,847,379,103,092,855,662,385,244,693,183,
531,366,042,133,898,667,056,699,044,862,141,439,669,404,681,884,564,680,787,
453,053,081,376,815,987,282,995,282,574,955,053,550,814,007,630,747,950,302,
805,311,718,952,600,221,491,655,336,883,090,544,236,623,256,133,870,836,443,
595,816,343,107,236,704,491,421,755,661,461,356,614,543,245,565,836,330,312,
544,109,811,966,259,128,265,921,545,945,161,869,306,388,498,808,504,143,820,
000,396,259,420,402,650,006,718,992,597,587,399,075,277,851,525,680,316,222,
233,558,365,900,351,955,732,426,124,747,651,204,087,590,274,019,668,589,281,
638,402,027,232,362,716,933,860,007,761,105,241,718,583,882,788,476,601,434,
869,555,030,191,838,979,647,972,663,260,546,893,300,994,132,313,514,534,543,
764,119,770,914,022,927,653,181,214,062,170,561,903,693,709,549,916,378,771,
335,367,722,178,499,346,894,067,155,034,483,637,097,729,250,153,364,966,203,
609,332,356,559,385,119,280,847,168,424,294,808,724,441,809,402,102,871,209,
729,480,963,314,108,443,928,490,953,920,547,623,165,055,854,907,894,014,286,
442,109,943,075,492,904,201,827,802,906,081,051,071,946,022,980,142,797,241,
515,195,985,620,658,520,717,389,149,195,421,314,363,462,268,685,417,651,173,
149,949,873,280,788,978,539,704,310,722,521,491,023,569,376,770,744,400,854,
875,140,048,404,385,931,035,741,538,999,269,238,646,060,047,869,536,669,186,
734,522,991,353,121,199,167,961,866,482,697,299,174,495,255,203,160,738,718,
432,804,825,744,014,485,748,829,369,093,540,280,157,534,879,152,640,582,048,
462,001,147,022,029,924,754,899,835,256,441,343,484,959,274,160,827,807,031,
125,181,594,538,689,931,695,135,562,968,925,398,264,253,747,646,632,926,482,
086,712,679,009,845,041,986,125,446,198,692,482,596,955,903,580,761,868,026,
603,742,431,818,089,324,966,308,395,696,929,726,481,242,751,883,673,368,795,
517,507,908,566,180,105,720,456,983,557,929,356,920,112,807,612,215,527,736,
110,538,232,488,880,801,298,634,626,829,765,345,044,151,425,064,295,175,433,
418,218,755,166,665,054,655,965,733,438,332,462,381,704,904,956,888,229,153,
201,135,603,505,475,647,756,936,432,775,133,277,749,751,338,034,160,878,528,
353,689,866,088,832,560,617,536,848,490,853,770,049,619,921,236,119,542,290,
519,327,215,754,795,059,499,086,471,929,026,131,219,185,356,848,703,368,164,
619,841,973,554,741,245,435,666,068,968,241,447,156,685,202,545,621,590,061,
913,347,043,081,529,610,601,250,036,028,361,912,621,924,849,716,885,687,779,
704,737,120,312,428,068,405,109,397,315,003,310,531,765,686,065,645,678,152,
083,437,800,276,107,652,276,527,939,140,878,054,146,533,922,479,776,112,161,
989,829,108,206,860,910,625,442,221,468,919,984,058,340,998,541,624,383,509,
496,246,022,827,321,652,098,371,924,719,681,531,113,906,424,022,052,808,395,
921,721,610,020,270,507,525,738,148,484,304,862,301,845,865,601,376,825,004,
562,388,893,118,855,017,311,315,855,623,050,604,794,443,754,062,447,186,196,
368,932,168,470,088,646,721,083,033,806,706,253,599,925,772,150,819,904,169,
047,232,421,386,415,836,534,577,985,359,017,364,902,820,650,602,989,451,927,
734,051,368,645,794,587,782,335,371,233,555,258,966,476,912,176,120,085,186,
970,963,727,832,470,446,853,422,293,029,014,508,060,878,022,902,185,301,039,
188,288,433,048,877,047,799,013,877,152,563,073,685,057,298,390,844,480,010,
248,693,874,998,143,718,131,653,926,041,494,879,008,814,073,999,092,656,573,
593,446,107,905,340,779,020,745,382,415,277,864,837,622,500,213,460,334,584,
638,575,077,481,010,274,128,386,391,162,004,710,229,307,790,417,352,030,211,
690,462,757,044,305,712,925,014,284,692,018,184,095,358,729,292,942,456,234,
695,143,056,730,306,076,710,447,446,949,384,734,077,206,810,177,477,926,165,
857,827,064,519,894,064,078,252,610,559,300,407,537,464,097,257,410,341,030,
722,614,072,226,015,469,239,983,296,463,814,031,903,019,884,299,320,668,054,
551,827,214,982,629,536,068,836,388,727,175,639,159,067,413,831,993,112,216,
526,406,408,687,305,213,035,869,833,584,384,358,602,078,348,594,491,843,085,
315,765,428,641,373,487,581,338,176,481,654,093,417,294,831,689,635,510,183,
274,649,050,353,462,943,361,000,865,896,845,126,857,952,441,784,345,335,592,
329,146,809,335,185,105,911,209,962,002,882,058,072,008,298,747,381,913,001,
954,249,504,817,212,559,094,546,319,043,984,741,831,410,942,304,749,695,095,
730,615,461,802,342,519,141,948,214,476,171,257,856,976,065,457,943,712,764,
460,454,358,329,791,596,293,060,326,304,403,522,565,126,946,876,262,223,095,
383,115,130,295,130,122,389,001,758,052,556,019,775,113,710,910,846,557,557,
140,755,169,974,150,605,147,140,859,877,064,500,301,046,820,902,900,167,153,
493,404,727,969,925,525,674,447,611,488,787,687,232,892,090,232,340,303,079,
768,987,830,992,284,338,371,354,597,497,994,688,108,776,887,980,817,231,849,
753,313,127,134,108,738,157,847,982,529,985,848,866,538,501,165,788,566,182,
696,718,714,936,632,554,306,196,605,511,464,860,019,764,457,506,767,058,179,
386,236,911,801,897,476,646,271,855,390,955,713,358,871,121,726,349,816,316,
116,375,911,796,749,743,681,242,694,496,704,128,459,962,264,595,481,771,995,
974,748,552,582,204,903,242,798,018,988,915,543,572,654,515,924,418,158,403,
735,412,945,348,673,325,035,747,793,913,386,274,971,636,762,894,168,770,423,
663,776,798,534,348,995,490,005,927,116,256,102,126,684,880,569,402,875,562,
373,766,225,574,755,977,137,275,670,007,621,835,196,375,968,470,534,632,453,
677,764,288,128,725,417,569,285,825,912,758,563,038,602,197,301,024,379,297,
646,038,520,373,149,984,157,614,148,570,489,223,226,668,800,530,963,796,359,
497,100,166,273,738,884,224,065,238,523,042,858,629,148,772,563,731,166,655,
252,844,521,951,526,976,328,109,873,477,067,577,329,557,405,152,986,862,581,
497,115,584,306,022,396,918,952,168,902,045,705,263,008,621,763,780,992,784,
797,868,172,067,093,470,204,101,574,794,654,875,144,608,081,907,910,047,439,
768,338,710,544,040,285,561,573,261,357,501,637,804,347,905,677,418,247,231,
919,177,568,692,564,955,246,326,677,899,125,333,072,514,629,548,266,138,674,
800,568,050,940,639,830,585,570,078,322,759,428,178,918,212,604,952,358,798,
933,754,754,016,252,021,548,849,034,165,009,450,922,928,799,364,987,134,304,
053,105,253,729,362,404,486,801,551,713,589,771,963,690,280,407,684,266,149,
726,052,222,657,638,854,588,918,393,784,297,343,164,206,875,909,449,948,928,
605,743,822,579,049,826,399,925,431,901,537,881,498,371,102,198,959,247,049,
039,832,559,361,067,793,493,003,370,437,992,169,695,907,233,336,423,590,156,
351,996,718,377,084,972,424,860,958,379,024,164,383,316,435,522,890,761,438,
735,462,782,276,936,829,316,820,757,254,159,143,680,407,420,828,540,220,505,
540,381,842,194,094,926,084,791,726,382,302,796,290,526,861,948,440,490,140,
026,722,874,402,032,036,955,403,983,506,063,099,914,178,550,806,404,489,578,
523,891,708,466,279,303,140,397,601,121,241,074,155,002,421,546,069,455,332,
359,743,959,358,266,100,589,431,840,568,586,754,892,313,636,167,346,456,051,
428,992,166,337,138,789,064,312,942,753,317,934,092,798,815,074,521,257,675,
738,328,503,124,539,565,521,280,026,437,942,423,208,289,347,325,806,502,399,
073,278,002,914,122,148,374,442,590,906,001,010,214,148,752,653,029,831,551,
943,576,883,664,072,616,504,115,870,337,482,896,615,220,595,449,592,491,537,
205,614,500,102,459,502,215,700,099,832,969,475,198,899,459,494,256,971,210,
861,191,964,392,100,232,105,990,123,560,688,159,737,142,965,049,242,542,061,
481,166,225,353,698,144,970,471,964,373,610,297,719,376,827,907,917,031,405,
512,210,898,980,973,754,456,026,650,863,095,106,479,409,405,466,682,827,873,
236,772,843,364,905,420,619,152,087,939,500,939,313,701,948,806,864,249,383,
033,282,593,948,799,934,448,964,654,134,394,340,550,831,317,348,488,600,525,
277,777,784,085,500,779,165,338,413,289,901,736,778,100,273,343,604,138,980,
470,088,183,068,745,774,342,852,689,039,840,159,572,573,311,646,141,645,048,
770,661,513,163,042,321,491,814,343,962,617,646,707,332,397,227,979,171,598,
028,391,263,551,459,484,772,797,676,419,956,913,781,446,031,568,348,288,747,
542,354,925,238,003,149,448,888,293,014,327,820,058,775,383,398,269,859,050,
980,017,322,525,375,207,456,712,167,777,046,725,639,602,121,002,064,022,189,
878,985,857,728,809,715,169,871,106,516,346,655,751,275,466,012,646,782,997,
740,381,647,214,212,449,454,487,915,046,684,485,803,045,741,899,150,090,415,
365,506,926,374,761,848,729,619,981,652,633,602,349,688,679,939,751,183,211,
532,532,154,570,053,823,915,085,307,284,241,339,008,407,199,846,006,683,755,
960,976,073,802,405,771,651,436,220,982,062,294,800,555,530,409,663,853,136,
091,503,950,646,039,444,699,443,956,897,092,949,916,088,579,386,244,570,470,
099,103,568,777,130,144,080,997,079,463,251,709,346,349,961,348,848,265,689,
655,124,874,405,282,089,732,005,274,020,936,765,071,679,006,092,769,148,716,
006,931,307,834,639,401,513,341,818,835,603,235,115,309,691,732,502,063,390,
467,903,245,041,103,586,570,224,099,510,769,150,553,588,868,073,457,469,945,
278,590,367,137,531,958,852,252,497,113,484,120,461,142,668,435,429,800,518,
701,223,198,326,482,831,184,833,164,788,120,864,447,920,309,482,705,750,602,
010,931,944,798,257,723,524,730,053,412,561,850,760,141,704,471,711,090,451,
662,664,598,183,027,401,547,245,086,773,549,290,550,551,857,660,443,622,705,
188,695,830,071,116,133,634,970,908,620,851,574,878,649,292,674,586,219,749,
805,729,436,112,318,773,306,039,698,914,804,650,707,318,607,973,028,914,490,
823,806,799,910,430,052,803,653,380,974,141,995,459,559,729,172,175,437,982,
003,928,962,918,076,146,184,472,085,775,947,386,284,045,813,279,185,330,159,
291,571,866,819,484,850,812,016,515,139,193,266,627,460,091,039,403,756,818,
067,815,228,541,637,323,941,052,246,175,439,686,097,590,141,606,216,426,510,
332,740,619,722,240,830,706,588,224,571,926,505,101,124,323,513,519,760,269,
094,742,859,707,216,666,623,589,778,573,835,536,796,061,822,940,137,543,990,
365,669,737,629,946,645,688,422,164,952,036,923,366,733,427,113,220,613,406,
120,694,900,857,511,871,981,383,992,337,430,608,144,607,344,428,539,028,205,
728,371,130,803,070,938,475,543,198,875,451,229,194,026,108,512,293,310,566,
324,344,193,631,119,037,341,595,079,373,724,215,863,228,184,623,707,026,836,
168,287,809,217,427,630,259,740,446,172,700,267,410,099,149,875,117,677,078,
773,329,440,595,897,810,107,627,488,553,014,048,620,419,462,270,660,912,580,
482,402,439,881,670,011,527,299,510,328,492,708,218,414,232,288,642,101,563,
473,930,915,184,834,402,600,059,035,240,292,667,064,869,900,418,598,126,479,
002,428,368,042,758,541,317,615,660,801,126,498,874,318,644,778,425,170,178,
536,786,326,669,646,979,485,575,169,156,704,795,844,824,667,466,941,197,258,
244,101,360,648,831,095,208,813,702,536,884,295,139,770,729,558,977,861,246,
475,894,098,932,222,495,258,264,407,770,413,952,348,330,255,418,922,436,403,
271,483,765,704,625,729,413,875,690,600,917,782,136,098,276,308,787,239,898,
018,650,787,519,736,881,494,019,212,370,548,024,904,190,719,075,690,893,866,
860,540,813,101,271,039,115,422,832,530,594,231,886,739,562,589,705,039,206,
068,437,799,638,774,187,265,196,056,724,869,647,482,964,560,646,150,018,829,
527,483,246,010,019,773,185,410,394,334,461,877,524,277,209,087,150,663,548,
396,537,425,207,419,417,719,550,800,215,523,348,583,806,740,684,720,511,650,
746,813,248,189,471,153,445,044,185,125,311,752,443,358,422,227,838,911,627,
900,945,028,872,517,687,163,688,276,801,852,502,863,062,828,417,433,792,500,
989,168,277,704,528,063,257,740,480,835,149,938,517,908,266,750,270,710,600,
884,417,294,623,130,552,429,776,950,251,874,118,720,253,310,119,731,438,068,
576,670,251,773,789,504,578,981,861,211,895,634,653,537,653,461,205,111,436,
515,622,439,221,650,185,657,515,664,485,850,946,226,569,689,621,753,957,386,
947,138,919,699,734,100,349,927,724,097,366,287,165,914,454,851,567,021,126,
459,357,207,349,584,171,359,100,570,148,151,398,929,539,343,233,716,581,040,
018,456,733,788,250,652,308,666,029,102,431,969,197,546,220,236,051,519,401,
428,246,615,044,422,928,334,201,630,033,323,682,249,005,638,359,373,601,845,
606,542,283,473,614,285,915,716,527,231,277,308,647,725,635,528,872,915,216,
742,391,771,355,014,471,555,545,777,946,257,504,499,046,041,511,269,636,341,
117,478,359,513,547,747,327,781,425,353,498,434,956,182,103,787,747,641,183,
532,753,428,234,790,301,834,526,644,233,655,826,909,648,492,448,837,683,032,
744,183,067,867,022,257,737,299,316,820,023,228,540,515,766,736,943,533,979,
721,111,028,157,727,636,300,212,882,583,757,444,714,986,074,605,900,229,236,
228,077,376,164,338,075,870,971,561,765,145,816,817,541,254,914,911,138,683,
858,457,502,656,616,933,406,538,359,481,878,919,971,732,516,653,808,899,042,
296,797,134,955,509,158,654,901,188,706,441,024,198,554,786,667,328,365,847,
197,176,169,118,152,310,807,833,697,391,684,334,186,665,829,045,518,078,520,
093,676,846,451,822,146,900,448,597,480,489,553,611,727,813,869,745,423,792,
658,936,576,581,787,106,723,595,832,242,922,481,039,393,091,621,511,136,290,
175,497,229,448,492,978,659,807,763,894,490,500,250,923,691,541,239,045,454,
979,472,932,765,059,455,149,969,404,878,639,641,458,770,916,253,019,172,193,
300,669,298,978,004,645,926,420,844,126,646,018,055,714,558,917,816,302,999,
435,627,704,564,013,115,754,459,288,526,347,801,529,184,102,686,091,402,645,
678,406,198,535,988,594,128,511,202,429,116,048,114,839,498,154,296,808,936,
265,184,132,088,698,670,178,642,015,206,144,945,483,172,393,179,297,357,985,
273,823,397,643,089,545,251,946,858,146,059,267,897,147,740,436,331,847,645,
896,639,533,645,154,931,684,405,414,792,801,984,765,753,108,560,172,697,893,
245,419,451,449,571,957,502,587,426,403,010,091,974,865,409,200,503,400,188,
380,307,149,234,137,410,209,067,367,282,602,989,529,175,946,258,079,799,724,
272,418,433,175,888,252,103,699,344,771,569,520,666,602,450,835,007,791,884,
760,166,412,081,992,033,752,067,510,153,567,665,442,599,482,607,728,254,871,
888,426,044,691,429,320,757,154,812,546,067,554,527,275,839,312,554,088,373,
084,176,883,019,852,851,729,335,145,810,006,549,263,772,337,845,051,369,227,
114,357,604,627,998,624,784,332,243,849,959,263,674,978,494,034,474,721,293,
777,081,197,655,207,292,012,702,608,519,932,863,690,599,210,466,599,355,605,
630,184,039,456,456,272,200,540,318,973,908,232,483,012,147,996,349,548,319,
761,322,286,651,741,632,131,874,257,861,595,303,640,425,618,321,397,598,127,
413,237,273,200,073,018,481,919,499,160,933,407,592,783,828,876,761,826,575,
795,733,067,027,972,839,747,280,634,343,960,530,704,083,295,011,092,340,025,
513,511,927,136,678,967,048,903,677,345,270,305,658,297,112,694,243,694,846,
108,884,156,659,752,193,405,806,615,957,466,967,907,843,258,121,210,710,277,
013,236,770,723,919,975,496,417,248,882,091,379,195,522,695,047,259,974,424,
636,973,429,420,948,735,183,535,579,146,488,602,852,685,244,969,726,409,755,
892,153,364,061,465,657,463,459,966,618,128,284,274,914,236,659,725,513,976,
170,740,460,130,522,634,103,698,756,373,478,834,567,700,182,665,247,504,646,
441,958,248,841,325,031,602,554,887,123,440,576,536,399,771,101,540,220,897,
279,345,709,698,470,792,876,885,089,280,280,442,170,181,526,993,871,734,136,
814,733,146,443,875,298,907,557,593,166,450,080,205,870,969,691,570,002,875,
866,314,661,228,840,059,685,317,025,979,149,388,787,527,744,024,462,325,427,
813,384,634,009,152,482,808,458,113,911,951,899,364,721,875,227,822,456,687,
687,294,251,383,840,068,158,214,851,623,323,784,818,322,646,364,210,403,178,
125,197,342,197,996,216,316,162,804,057,979,721,399,693,834,387,356,482,018,
101,138,034,082,271,021,834,668,850,218,006,727,886,556,029,298,642,413,222,
136,296,236,254,526,966,261,546,376,946,611,276,643,884,335,858,573,620,187,
535,149,261,055,431,455,816,504,450,031,101,143,827,210,773,118,633,975,442,
153,783,499,085,114,143,497,190,411,413,200,360,719,534,690,069,782,021,985,
855,902,254,385,371,410,531,028,143,948,899,889,355,943,252,848,769,159,041,
132,753,312,163,273,051,520,485,660,446,398,810,858,469,194,874,455,905,444,
535,700,792,187,716,182,568,420,690,860,897,003,728,212,848,443,093,649,911,
800,374,432,519,270,178,869,626,027,179,953,697,876,118,913,675,783,127,976,
301,395,810,315,426,856,053,999,314,634,294,102,824,789,240,093,528,847,648,
165,112,070,652,958,935,823,375,246,414,334,519,857,147,659,819,627,926,351,
285,531,050,061,213,854,225,505,405,968,711,793,498,823,691,351,932,070,001,
693,249,923,497,352,678,130,233,089,741,473,409,048,094,417,509,405,973,874,
671,098,071,853,244,288,888,535,456,863,862,083,562,869,946,287,939,375,072,
384,168,180,386,351,834,733,517,147,802,535,112,558,603,491,582,174,938,500,
145,672,058,908,054,308,521,855,738,971,210,714,585,515,216,600,632,746,995,
825,582,206,572,506,348,040,956,450,912,329,818,456,539,187,403,043,360,274,
859,037,224,954,175,931,994,070,178,976,007,154,856,583,007,464,431,477,089,
955,055,746,318,327,788,907,395,061,012,074,005,933,135,501,192,628,642,417,
962,349,236,234,063,983,090,608,825,818,304,094,591,075,960,222,786,347,318,
903,163,020,864,414,488,548,697,077,532,615,667,683,967,114,691,088,334,730,
938,579,636,449,443,766,168,146,576,587,682,946,109,516,323,554,677,372,491,
538,845,358,473,978,208,023,267,040,233,480,239,001,060,714,906,471,629,658,
783,550,303,233,144,749,295,170,182,764,813,356,632,920,124,038,206,621,880,
791,465,234,892,483,635,930,115,083,458,273,849,191,676,810,936,413,817,008,
671,107,300,861,787,983,009,221,793,306,296,172,488,821,476,799,709,858,251,
640,262,339,149,024,823,951,048,933,726,323,042,059,720,266,990,437,384,579,
839,776,191,468,895,831,726,812,501,791,309,161,520,206,011,451,878,623,480,
550,143,196,239,722,888,165,660,277,689,984,074,437,187,213,447,011,024,052,
836,200,980,102,500,568,454,743,948,460,412,152,296,177,592,905,557,232,035,
463,343,235,188,980,269,475,923,896,175,277,610,262,378,366,429,334,029,365,
187,727,896,362,380,087,268,681,032,233,624,237,517,829,853,444,986,584,530,
639,421,115,961,241,104,193,777,082,732,667,879,236,982,454,012,308,770,519,
886,144,799,158,267,751,159,441,783,725,894,625,136,032,150,886,114,000,596,
825,781,610,723,941,269,016,788,134,271,555,258,417,304,459,062,598,127,764,
958,033,129,979,443,548,973,822,798,516,904,245,724,252,299,789,467,888,559,
276,541,163,855,326,784,629,946,587,195,816,231,902,589,525,309,711,989,770,
038,401,520,926,795,495,435,113,588,300,700,097,370,742,489,802,779,122,405,
641,100,529,834,541,343,171,763,456,309,121,926,306,307,827,043,778,707,301,
251,542,061,600,856,939,269,809,807,176,751,157,053,591,702,065,110,415,747,
948,207,493,327,876,351,289,628,207,533,822,031,301,366,688,223,601,458,294,
587,375,264,448,196,212,419,925,353,807,297,912,118,517,940,513,853,462,901,
247,616,570,292,846,014,089,709,059,597,770,125,751,935,530,839,099,465,929,
825,484,088,941,103,699,454,739,026,536,429,565,115,933,746,321,814,760,999,
840,676,297,333,576,297,177,226,765,482,978,632,646,112,346,513,164,186,319,
219,469,970,863,594,563,501,060,085,556,433,110,897,570,111,812,242,580,783,
029,292,021,094,273,953,997,673,805,211,272,652,262,082,755,599,755,085,117,
034,457,933,783,266,069,741,831,491,648,597,821,854,714,717,791,517,975,103,
338,016,140,742,656,950,417,961,768,122,074,677,624,350,597,365,108,073,188,
626,161,765,951,573,175,105,562,449,591,430,268,031,275,575,963,813,499,328,
597,020,275,470,344,786,086,078,842,776,135,238,385,007,063,536,560,962,443,
194,806,726,216,838,714,358,125,400,960,103,124,049,632,302,287,977,544,132,
916,299,284,167,789,897,043,023,968,651,277,947,639,881,028,612,821,383,585,
972,762,210,427,632,885,012,375,853,516,255,861,221,504,532,042,641,308,149,
132,243,865,852,662,088,155,771,070,340,046,475,794,471,339,526,613,435,824,
698,329,155,500,042,496,973,729,889,058,259,851,448,445,911,156,783,774,649,
930,676,886,035,827,107,108,947,334,281,476,677,152,889,468,089,162,730,462,
437,756,607,406,693,270,561,590,572,496,852,533,526,106,901,616,173,470,856,
242,434,415,845,431,888,375,262,533,996,728,475,068,963,159,686,422,800,486,
486,072,283,512,812,068,207,987,873,351,346,466,164,730,953,897,673,689,613,
796,459,055,196,755,041,042,633,506,920,559,120,974,377,646,667,318,049,529,
346,796,857,078,042,883,304,608,019,502,860,888,371,033,121,115,498,158,142,
554,148,905,374,707,958,968,014,298,618,343,287,779,540,920,240,925,656,470,
783,645,261,307,716,630,791,929,248,574,963,020,009,143,291,433,003,107,386,
499,910,682,393,347,069,185,749,892,225,240,403,422,228,418,127,918,477,111,
957,592,367,284,911,275,261,287,658,223,138,481,074,713,954,084,788,995,142,
646,313,954,157,482,719,693,164,533,260,611,948,726,927,669,741,510,118,448,
919,414,502,146,427,441,554,038,245,868,145,266,201,133,964,871,968,333,209,
388,027,314,326,161,581,162,933,827,302,131,573,401,997,954,078,063,828,148,
326,914,394,060,585,177,305,578,476,647,176,257,600,742,192,072,244,617,695,
688,240,134,643,293,598,926,979,341,175,781,093,820,486,335,713,546,433,772,
728,763,642,531,328,729,921,743,235,633,776,247,733,306,708,011,732,457,521,
212,449,722,331,707,795,985,742,520,470,534,653,316,979,191,963,008,336,271,
692,724,271,837,521,799,046,638,444,292,349,022,034,757,723,063,781,712,585,
657,623,014,725,580,346,398,834,382,308,216,946,433,427,977,551,042,412,938,
482,897,768,016,708,526,186,788,367,373,374,774,956,381,569,730,920,557,837,
126,202,496,071,267,440,055,307,039,251,655,994,436,618,066,298,749,391,109,
148,860,317,760,778,657,206,876,674,902,639,994,853,494,065,667,277,019,065,
336,546,466,390,275,577,743,745,277,119,854,888,733,133,617,232,514,653,909,
031,825,680,930,867,693,492,876,627,545,914,322,053,409,574,891,291,048,900,
986,809,156,474,810,010,411,334,171,606,912,056,622,819,036,396,384,189,861,
551,474,927,490,337,280,679,662,856,135,456,105,014,596,522,809,453,758,355,
139,791,579,111,012,616,942,840,821,044,689,297,510,827,707,580,001,397,785,
288,886,419,561,176,752,804,033,708,689,454,120,691,636,818,273,420,774,658,
789,561,763,629,337,050,476,757,761,626,796,001,458,594,951,350,120,165,592,
344,878,362,826,500,392,347,849,904,391,201,522,927,292,856,289,434,463,169,
779,931,581,482,788,013,012,579,004,771,373,152,252,854,289,882,940,210,581,
175,203,911,877,969,655,665,834,414,252,948,532,455,894,918,133,705,011,865,
499,650,867,384,089,564,131,385,770,608,693,608,099,503,676,793,945,756,147,
315,651,016,312,836,730,963,508,635,297,643,934,133,565,869,763,280,039,324,
928,756,196,392,000,662,559,077,832,077,842,861,675,065,281,013,215,588,146,
629,210,203,771,324,350,524,437,010,670,752,335,826,812,880,511,940,344,348,
238,653,171,999,504,760,736,089,025,209,852,116,065,623,820,166,773,048,893,
575,250,723,983,167,337,435,660,289,691,592,171,000,039,253,068,913,861,131,
157,469,193,491,434,292,234,458,430,963,399,484,167,568,144,375,648,811,175,
215,040,347,541,587,753,540,139,272,257,311,281,209,370,632,251,470,867,652,
438,323,329,971,654,124,323,301,439,595,255,110,340,220,372,097,092,795,854,
022,701,932,388,967,414,396,844,291,594,943,428,075,992,319,203,692,162,223,
450,342,872,373,105,412,013,030,751,260,963,733,072,109,173,869,802,601,233,
055,284,645,966,564,643,473,568,401,053,389,999,668,034,625,040,414,943,093,
071,893,078,983,350,882,662,556,375,377,564,807,103,028,328,993,374,915,537,
159,933,253,619,174,599,613,560,332,166,569,922,151,580,769,555,413,506,876,
255,721,406,303,229,646,944,335,949,974,126,111,955,346,744,935,192,603,984,
782,449,117,580,448,756,729,804,622,600,311,685,736,763,307,601,179,471,775,
998,039,251,269,509,451,986,810,532,188,755,076,207,326,304,371,386,268,464,
950,718,947,949,681,550,514,823,786,940,109,082,963,621,749,881,183,360,942,
209,067,840,702,802,309,355,214,746,568,128,259,269,663,349,965,551,791,779,
663,390,127,005,402,472,331,322,221,677,320,370,192,642,082,839,277,119,338,
851,441,473,327,495,045,150,051,932,571,238,496,941,609,567,376,103,762,304,
230,114,648,354,904,271,540,981,167,380,924,214,577,226,106,919,102,070,605,
510,800,256,559,885,074,289,000,089,339,932,976,721,977,738,450,067,228,268,
362,248,524,439,501,207,630,505,962,221,215,021,556,708,356,936,460,565,034,
099,855,140,459,811,201,450,736,076,053,450,455,471,198,193,327,777,325,445,
648,068,174,692,526,406,750,862,985,786,771,728,794,996,629,785,998,875,724,
343,371,997,236,137,916,025,672,228,314,306,845,261,475,309,521,383,645,712,
331,214,842,466,288,393,237,786,368,157,116,312,418,930,027,007,957,287,182,
505,392,664,663,995,533,745,443,015,031,772,742,095,726,057,691,517,000,076,
357,317,556,519,965,692,409,815,394,967,821,852,607,666,276,371,918,808,501,
907,892,383,688,003,976,473,046,016,273,641,635,332,862,779,851,912,687,351,
666,514,695,771,792,120,022,104,433,183,289,360,753,833,603,264,006,060,803,
351,700,263,409,054,314,449,247,947,758,185,456,722,418,669,705,020,018,630,
319,153,082,727,805,414,046,983,963,128,572,576,949,622,624,866,854,251,697,
810,032,973,264,975,070,237,713,914,891,224,772,769,297,547,535,125,575,186,
389,009,024,467,316,127,370,423,165,566,975,923,553,435,060,665,817,609,513,
023,476,289,305,963,800,287,790,433,214,551,234,580,469,701,551,358,585,004,
234,777,700,215,167,228,228,995,902,137,994,679,003,833,227,900,982,287,421,
519,336,998,611,027,104,085,082,050,135,332,343,094,191,918,896,170,681,141,
732,194,688,994,565,374,306,701,613,435,765,384,488,942,161,123,116,807,612,
775,751,419,839,605,891,634,748,475,726,096,351,963,583,962,513,974,175,823,
722,098,951,274,407,800,518,346,080,103,617,232,597,330,461,142,370,246,093,
745,595,556,022,615,693,677,542,528,640,213,355,428,937,993,693,983,236,722,
521,071,472,586,896,350,456,232,380,141,027,540,753,571,007,435,204,142,349,
489,884,834,813,399,013,779,554,183,292,182,814,967,994,857,859,522,112,101,
554,063,465,182,279,710,813,059,170,550,125,069,060,443,141,958,870,511,906,
032,095,674,084,218,752,839,995,233,391,310,919,531,303,906,555,860,096,260,
628,696,018,338,571,702,861,013,502,683,209,633,237,942,325,565,569,400,650,
924,895,390,680,100,388,137,371,187,757,936,958,668,496,829,479,692,686,391,
004,307,774,606,311,303,390,154,900,233,504,062,884,946,179,669,855,949,952,
103,559,807,675,891,991,222,678,696,835,591,474,464,458,098,195,440,485,518,
394,439,816,964,244,859,357,263,634,144,140,817,617,479,216,031,119,125,373,
517,121,142,475,633,540,120,607,857,667,614,023,780,671,332,242,824,524,155,
493,324,781,424,933,435,052,125,660,262,422,645,796,058,566,081,605,660,575,
493,995,170,311,007,703,246,064,240,599,022,970,914,250,075,566,293,654,239,
547,092,043,816,024,509,623,468,490,762,693,278,840,704,829,925,916,505,374,
287,466,437,997,663,279,016,149,149,115,806,842,088,954,644,143,141,576,438,
074,139,321,116,140,450,997,212,420,443,650,020,833,370,943,815,984,986,833,
699,263,423,407,961,372,046,901,274,228,126,135,465,950,840,959,421,613,668,
881,908,400,227,127,567,497,833,580,542,349,517,927,471,065,237,673,088,509,
190,425,442,185,186,347,583,203,055,014,212,804,998,417,984,539,257,287,559,
831,092,976,974,145,410,185,303,650,695,141,190,837,076,407,853,884,989,758,
565,848,442,691,886,900,140,401,447,717,864,393,157,484,103,776,009,984,196,
156,967,873,006,178,854,361,132,729,034,604,261,925,052,231,708,381,498,751,
768,048,072,819,224,739,396,120,587,141,822,326,602,789,029,228,243,433,145,
511,585,097,509,211,223,372,285,582,670,761,049,976,503,061,847,321,997,456,
930,006,492,583,774,364,476,777,668,761,349,498,911,381,000,966,373,752,388,
866,761,813,985,696,510,387,693,144,627,011,990,059,570,724,175,195,302,944,
541,746,571,159,111,818,254,058,429,813,255,925,192,733,988,266,351,837,660,
456,511,041,725,932,043,007,194,205,795,741,494,162,006,985,825,824,333,179,
817,803,525,886,736,981,172,879,598,479,096,921,500,241,397,542,453,704,998,
594,576,854,640,512,842,383,879,286,719,588,157,206,884,331,468,813,827,599,
611,825,986,659,340,954,928,426,197,541,147,186,526,378,534,084,741,543,958,
829,825,774,108,471,448,580,462,918,970,259,282,556,900,925,136,610,771,477,
255,394,710,096,772,585,548,110,008,780,154,681,054,415,252,139,662,243,212,
552,325,771,227,042,323,856,422,337,521,101,547,697,725,267,492,229,450,779,
215,838,684,714,277,255,399,301,472,109,088,819,611,798,008,566,484,990,358,
342,377,187,536,762,073,346,728,349,525,512,244,505,957,294,799,230,198,924,
719,984,741,164,868,349,222,291,166,845,515,972,566,049,550,724,914,203,062,
695,168,235,422,724,979,438,622,646,043,265,573,955,213,063,249,686,281,599,
832,692,952,959,799,880,061,044,816,213,507,546,399,018,484,272,156,568,930,
913,139,897,326,319,318,809,049,872,696,204,297,316,588,387,880,669,576,257,
731,996,060,109,003,074,884,222,814,430,348,521,252,768,413,007,797,841,629,
249,555,233,475,165,775,560,692,433,343,495,542,989,715,893,296,119,048,680,
622,889,837,493,501,073,379,748,501,628,986,713,963,691,321,793,858,143,026,
266,966,945,128,475,859,933,782,826,436,251,103,857,298,813,814,635,861,089,
099,561,195,556,174,294,859,955,706,481,211,944,592,708,908,326,384,605,945,
397,062,597,895,511,360,227,640,308,131,459,192,771,579,558,413,837,399,504,
184,735,612,179,818,955,677,832,037,015,246,951,927,434,307,796,657,271,829,
066,501,759,333,134,160,877,347,171,432,768,450,329,185,664,569,767,538,658,
898,476,336,080,724,186,700,270,948,093,793,220,518,171,983,004,010,078,690,
033,454,042,266,461,030,106,967,596,759,052,192,741,714,889,525,743,233,640,
531,009,064,816,939,030,386,897,936,581,779,435,572,171,507,729,467,072,817,
693,642,343,043,494,748,714,785,669,484,749,451,788,152,293,245,330,516,709,
181,284,931,897,925,137,030,341,699,792,247,005,344,101,922,790,131,524,714,
189,980,132,260,290,123,905,279,408,353,945,034,449,742,220,196,185,711,270,
365,874,997,918,664,471,948,807,160,248,714,806,075,818,876,265,233,643,888,
846,098,559,505,564,731,320,202,047,146,141,919,013,677,791,487,473,065,575,
584,537,573,460,277,853,611,314,254,806,302,207,137,176,262,313,502,887,970,
528,496,257,080,742,238,177,364,267,630,246,894,704,985,342,688,192,633,563,
914,253,279,430,642,431,938,371,321,175,421,635,198,689,581,119,654,953,838,
191,091,129,933,018,186,162,870,629,613,290,365,002,096,464,885,829,967,295,
540,987,817,649,659,834,953,712,376,870,252,788,216,643,550,722,102,954,633,
609,876,506,583,389,133,854,201,167,705,785,158,276,173,260,326,786,734,617,
813,192,734,491,815,398,024,596,203,526,337,579,460,204,557,259,874,551,422,
345,850,717,983,345,626,308,659,790,945,232,884,969,946,372,261,070,872,499,
458,783,743,353,350,053,592,534,214,909,581,813,332,651,530,487,626,307,668,
965,422,870,240,569,978,320,196,580,441,524,535,110,507,003,546,169,636,710,
319,854,246,017,137,535,694,119,462,466,844,784,376,970,077,547,331,050,150,
856,740,085,230,016,468,038,103,325,787,677,550,272,902,934,321,949,236,133,
824,373,517,750,256,100,410,942,108,201,796,792,873,421,502,930,488,000,314,
838,540,418,558,451,983,180,029,025,383,593,011,994,970,936,640,606,478,339,
326,609,253,051,511,301,416,770,663,687,463,285,810,196,086,588,999,043,927,
519,591,905,524,110,677,516,422,065,291,446,870,193,178,003,511,077,395,890,
130,878,965,139,813,016,476,111,767,867,836,024,021,876,555,703,830,874,601,
551,987,199,507,187,285,037,247,181,486,799,124,994,750,717,635,723,704,838,
840,536,989,270,075,605,225,712,632,398,277,604,421,025,208,587,642,530,695,
200,688,014,505,556,560,065,282,614,575,237,642,531,413,668,414,888,943,589,
369,593,170,054,298,452,484,022,551,208,445,438,663,769,421,588,131,537,084,
724,370,457,359,049,187,236,505,549,585,473,777,211,064,385,764,574,431,708,
721,953,196,406,935,981,125,456,711,106,363,067,114,470,880,254,566,913,921,
155,067,642,874,036,489,805,952,579,704,546,849,417,018,324,339,485,002,810,
701,456,622,587,041,836,649,099,804,589,421,499,673,287,943,762,943,080,646,
330,659,685,943,545,431,438,789,669,654,489,479,335,482,702,510,677,764,774,
767,268,326,460,136,527,150,434,194,721,331,060,452,492,264,464,831,152,514,
740,370,979,693,980,123,880,387,417,361,825,285,425,596,074,304,256,692,927,
892,273,370,732,592,770,084,709,299,516,540,910,562,934,804,974,176,467,103,
014,160,603,567,647,890,265,129,166,069,664,104,555,746,703,592,490,533,468,
407,556,824,574,643,217,645,104,710,409,587,733,509,282,583,202,708,233,158,
620,924,458,199,368,021,132,326,006,553,477,409,560,158,812,010,274,838,065,
014,217,964,492,846,724,889,638,055,539,982,055,398,105,520,602,087,463,063,
853,772,433,177,715,113,852,195,335,797,365,403,687,080,595,210,879,851,340,
020,628,084,153,752,752,423,099,541,841,706,382,866,759,604,271,580,650,547,
881,248,573,645,267,253,955,536,634,308,103,186,145,226,008,639,660,427,069,
770,627,068,256,997,936,948,812,601,273,514,576,675,596,156,748,558,457,306,
080,215,335,735,689,313,262,902,416,658,531,761,327,494,987,830,944,413,593,
069,938,505,918,910,428,359,026,440,644,285,482,255,024,466,855,527,991,140,
687,455,737,363,828,367,067,138,305,996,209,465,899,958,854,709,166,074,607,
608,352,389,798,120,358,750,709,250,119,061,156,859,070,656,803,863,256,754,
631,355,581,046,656,781,268,200,921,304,819,695,478,305,406,949,682,590,005,
808,515,581,445,267,014,147,292,350,807,843,248,260,095,983,168,616,015,493,
709,129,602,302,834,367,215,212,203,950,175,256,754,231,078,861,845,119,662,
954,805,108,479,738,580,955,051,733,795,329,992,549,555,377,787,744,893,311,
896,949,061,021,591,144,707,988,576,748,984,583,168,239,248,341,763,879,772,
101,476,216,138,107,573,228,302,874,345,756,452,184,463,093,113,477,268,469,
533,989,599,292,990,790,708,093,348,419,091,424,573,518,806,847,028,796,777,
037,276,978,013,448,086,068,928,381,130,174,132,372,705,198,858,501,059,124,
165,250,661,026,765,979,518,282,704,043,652,747,849,648,351,055,868,456,959,
470,681,170,516,745,871,106,460,014,539,015,688,567,919,952,456,895,158,709,
243,767,597,255,433,826,494,319,996,307,254,831,132,853,215,950,451,864,434,
932,320,432,917,012,467,387,383,491,836,724,019,491,127,990,911,259,058,241,
317,290,995,840,291,882,808,179,303,497,810,070,710,024,361,980,768,159,623,
566,852,589,304,814,394,184,197,236,981,464,208,389,215,146,231,053,423,249,
028,010,606,042,518,383,396,818,192,620,751,205,581,693,993,647,462,424,292,
455,475,691,493,619,950,481,367,289,530,556,290,153,596,070,722,284,206,756,
813,479,960,120,180,937,537,050,812,338,745,904,523,154,871,158,332,689,022,
948,174,061,113,543,807,447,375,604,207,153,101,202,277,499,419,106,223,483,
891,327,592,117,967,165,721,780,400,345,449,435,201,765,271,011,483,656,578,
968,732,288,216,117,694,307,929,916,562,695,088,779,912,541,392,898,748,880,
242,470,953,538,971,899,886,676,526,256,432,212,360,894,556,060,578,989,587,
205,399,208,496,687,538,122,119,549,717,365,185,174,259,388,024,852,114,604,
722,784,612,466,179,393,334,795,234,157,734,530,094,126,712,145,964,577,634,
247,328,022,809,933,669,895,222,547,882,857,534,013,139,986,121,346,447,521,
977,972,172,055,519,374,047,143,925,891,517,945,551,995,464,190,545,455,193,
424,315,592,485,975,508,750,044,520,506,411,077,192,637,016,511,750,223,093,
463,958,284,359,991,278,847,738,547,902,528,928,537,295,011,868,679,192,890,
294,666,454,364,568,017,166,210,208,719,828,134,304,384,370,120,491,250,493,
280,602,141,137,709,597,400,751,023,312,260,835,374,515,232,609,245,185,732,
193,506,949,959,321,810,022,793,124,041,193,208,717,970,983,801,360,584,123,
416,206,236,231,873,475,283,250,649,513,736,324,424,834,253,855,123,720,708,
960,671,344,205,057,347,063,177,365,067,352,762,832,445,141,741,115,823,292,
705,705,068,249,060,666,115,737,990,710,575,003,410,272,135,618,027,112,050,
944,491,220,582,381,621,279,645,337,542,729,694,837,998,247,645,087,876,386,
962,136,478,575,048,194,801,213,973,901,982,320,441,689,282,665,263,657,053,
394,245,365,818,561,294,068,847,438,107,174,233,214,311,022,254,939,046,877,
351,536,944,013,021,086,121,108,745,271,101,222,980,839,265,980,794,852,389,
759,260,917,268,333,722,899,224,329,850,745,351,284,864,923,062,585,374,212,
719,538,217,360,709,313,760,245,665,243,711,972,681,259,450,151,124,010,955,
595,843,123,981,580,721,183,039,005,026,951,736,943,611,767,312,207,710,989,
031,583,706,892,494,652,356,364,395,338,663,480,793,230,475,758,820,647,055,
231,534,448,856,641,278,858,966,374,031,034,638,157,868,276,380,470,248,019,
280,626,418,705,110,659,183,878,849,173,365,106,167,448,977,659,303,070,332,
800,176,347,293,455,201,292,427,516,354,023,859,250,653,709,462,823,497,446,
911,738,692,346,503,053,448,330,690,509,753,188,201,880,036,737,771,698,106,
198,911,581,759,603,621,130,440,305,796,394,067,006,497,918,804,838,201,963,
601,171,119,290,177,811,569,050,020,478,650,853,127,018,780,623,409,145,628,
826,737,058,834,781,988,419,383,454,337,373,635,477,923,216,021,196,802,197,
632,056,722,414,781,863,006,874,877,867,883,736,663,362,504,448,594,844,801,
413,189,575,849,545,443,529,541,113,663,624,437,105,248,178,447,692,877,116,
685,496,100,067,742,156,251,747,993,728,036,315,963,155,670,579,380,882,337,
266,877,413,530,494,605,445,241,537,181,974,489,542,003,493,672,560,738,449,
539,623,108,377,287,899,570,291,896,290,053,114,017,305,416,163,245,399,774,
503,726,844,417,497,975,497,673,120,612,049,246,246,151,319,813,033,248,790,
127,068,795,790,579,690,593,706,354,351,053,694,523,174,407,009,962,884,609,
509,985,467,274,620,082,538,353,784,151,038,708,573,573,282,984,843,617,229,
287,118,003,581,211,889,784,616,178,998,426,055,262,869,396,544,328,846,454,
767,450,403,504,132,495,209,377,233,147,185,596,580,723,040,673,378,930,815,
068,177,757,179,908,216,887,065,939,316,874,359,327,381,185,204,850,876,379,
189,413,703,113,167,715,993,317,368,368,886,451,545,566,468,279,516,795,794,
504,735,657,510,890,046,847,277,517,686,625,759,483,437,327,501,635,779,711,
536,471,808,709,971,908,625,324,091,897,876,534,408,891,387,541,954,313,594,
970,139,833,056,617,319,765,570,488,741,239,435,326,933,132,479,364,732,789,
354,881,680,675,307,197,889,293,153,539,803,780,725,577,487,766,805,750,002,
060,819,195,287,756,002,258,017,326,365,054,347,488,432,048,890,223,094,900,
866,284,683,876,410,167,188,248,399,135,276,498,562,626,033,699,470,691,075,
880,931,417,333,511,868,566,965,267,987,845,639,234,418,184,194,972,861,486,
949,038,223,670,632,693,434,899,552,584,696,960,921,203,364,659,461,882,086,
750,341,772,525,725,699,107,200,565,987,169,228,794,122,755,235,145,846,846,
974,143,297,569,535,377,870,164,523,712,410,546,671,398,705,249,978,393,290,
899,723,067,008,897,503,578,434,833,286,505,555,231,600,250,665,246,251,590,
996,868,881,436,976,079,298,421,884,752,131,416,887,232,506,372,829,493,733,
180,085,554,397,722,174,440,752,745,089,103,580,036,900,981,427,392,210,784,
642,259,281,294,894,900,345,539,676,339,269,940,209,957,439,365,777,940,624,
214,196,889,234,190,148,114,814,428,716,965,721,438,545,521,709,254,217,593,
827,191,769,733,319,011,899,458,091,857,087,927,292,226,693,201,046,172,117,
803,318,928,333,439,574,178,624,084,867,267,598,384,730,941,292,100,057,414,
861,457,977,180,389,545,718,970,008,356,935,301,740,215,910,869,390,773,357,
359,614,553,637,010,442,199,951,439,606,324,939,542,801,530,819,103,452,522,
707,242,509,807,922,669,533,031,012,754,134,105,386,812,882,014,284,350,191,
152,966,341,598,653,569,473,859,145,575,740,346,938,825,767,219,557,821,841,
326,318,853,187,885,781,351,667,607,628,492,743,438,168,225,565,102,735,153,
520,358,806,679,368,645,468,491,163,706,337,517,563,268,243,698,404,866,597,
454,977,111,842,647,324,186,517,017,692,904,930,174,145,396,993,764,705,832,
609,265,127,938,037,911,942,016,562,532,629,594,562,377,529,395,671,211,151,
504,141,398,332,976,550,301,882,657,993,558,387,868,787,396,983,583,667,921,
737,015,866,330,047,351,301,759,999,898,889,714,053,598,084,485,447,858,572,
720,129,091,228,304,621,550,485,882,309,549,870,483,263,607,167,578,788,349,
837,871,581,850,447,559,091,807,259,365,688,351,278,047,730,258,884,027,871,
278,357,022,438,120,056,889,677,105,843,860,555,292,844,675,484,123,788,074,
201,952,241,908,718,092,227,633,708,567,467,514,773,281,296,243,221,352,946,
915,313,936,711,373,492,900,119,142,891,875,357,927,388,362,297,187,071,976,
464,035,361,235,923,422,621,126,740,605,964,022,563,116,978,776,989,315,678,
141,787,032,525,279,008,721,136,036,799,437,415,554,493,124,558,095,286,382,
455,030,185,396,914,552,523,825,407,782,993,623,876,871,433,350,808,916,838,
491,037,432,504,124,344,122,117,662,960,243,013,827,623,606,802,555,592,885,
655,341,239,858,793,445,161,776,214,147,837,257,062,080,213,161,126,132,049,
148,621,558,226,472,990,652,173,517,526,022,422,886,233,234,839,784,977,806,
330,729,909,785,667,504,532,717,857,418,121,190,365,226,707,118,051,048,146,
353,177,342,262,982,240,575,554,203,650,874,383,134,521,207,373,319,644,505,
260,295,524,431,382,729,055,588,496,013,408,871,145,578,603,944,246,522,798,
612,092,985,786,719,697,535,681,771,348,907,847,521,625,539,570,027,821,553,
242,956,887,328,336,089,738,112,685,060,172,840,973,792,128,349,871,577,227,
519,767,556,060,856,324,981,022,464,055,698,730,520,065,315,161,945,280,907,
873,838,347,537,149,000,545,486,381,050,290,969,410,611,058,036,812,852,204,
613,671,900,028,715,504,725,779,208,092,380,879,047,270,798,849,548,751,156,
263,870,534,261,800,708,690,935,885,796,619,980,840,712,868,440,400,866,102,
276,538,369,666,666,799,363,140,801,296,995,225,346,006,337,516,889,089,073,
215,657,453,948,579,614,992,509,657,440,041,079,352,855,849,633,114,274,419,
699,628,191,622,129,332,802,171,898,855,572,347,720,288,904,629,953,217,499,
583,337,785,481,086,734,486,989,939,076,051,611,550,649,969,699,588,645,912,
131,218,082,808,568,187,753,906,955,920,820,759,709,272,986,133,077,309,920,
886,070,692,743,132,205,835,997,732,217,685,983,705,940,699,019,948,519,241,
710,523,282,058,625,787,597,277,302,093,771,024,257,901,812,056,245,098,949,
288,275,770,232,142,784,271,960,736,430,773,132,341,622,657,364,894,265,593,
960,724,373,272,605,346,569,341,906,050,176,723,818,675,381,667,448,110,884,
397,576,770,014,020,927,447,509,773,847,776,834,138,556,091,942,680,358,155,
714,508,020,849,466,544,540,635,219,176,881,017,082,426,380,206,595,042,444,
349,214,006,414,950,827,200,188,669,493,797,721,587,460,427,832,785,383,981,
815,066,596,781,740,610,746,372,507,570,993,984,108,200,334,825,923,668,568,
096,489,073,143,730,314,478,876,649,123,490,548,013,443,089,124,504,106,475,
194,299,283,928,089,460,661,784,395,948,837,681,958,084,789,832,820,906,628,
383,705,461,829,785,334,237,395,118,645,983,262,530,958,914,373,651,209,130,
328,425,956,105,118,274,961,917,996,972,875,110,066,619,964,352,819,309,140,
081,014,563,273,609,182,650,042,385,069,133,358,873,426,838,311,557,595,723,
268,864,067,096,501,551,736,974,963,492,891,670,117,174,280,918,175,215,282,
598,506,178,882,908,661,556,401,863,724,053,039,169,380,157,683,268,223,708,
551,459,730,291,212,868,352,792,749,294,122,001,688,656,588,014,924,858,193,
588,489,704,304,250,784,629,713,739,011,589,124,208,389,111,727,934,501,588,
409,642,094,830,856,506,255,627,918,647,948,802,083,088,445,748,102,154,660,
453,605,727,244,405,186,126,215,807,844,891,750,469,277,393,194,065,740,058,
683,954,623,382,177,393,667,541,778,026,257,512,463,196,402,162,723,339,227,
134,112,228,395,500,360,100,594,593,961,299,377,452,642,058,354,527,462,758,
713,489,551,759,990,417,500,533,014,760,227,969,259,729,565,332,446,805,071,
302,965,811,202,409,909,288,607,799,992,423,482,624,791,377,100,430,814,766,
783,700,800,068,976,838,161,276,089,993,536,894,302,681,478,565,206,082,323,
487,404,422,308,419,443,710,695,311,104,210,916,060,478,262,981,290,036,800,
648,433,906,270,622,848,208,437,068,847,821,839,016,387,927,864,724,416,699,
791,701,208,265,387,924,407,549,499,188,779,061,826,321,928,558,639,155,606,
048,678,300,422,741,031,591,620,508,393,420,913,339,569,737,046,413,562,453,
957,604,743,979,243,580,057,107,585,007,206,342,058,826,836,132,254,592,451,
795,250,752,894,004,910,310,230,487,947,804,339,022,970,699,973,204,601,615,
523,128,094,406,482,573,366,155,331,012,827,327,338,941,818,704,293,557,359,
848,783,565,885,604,908,840,927,166,053,842,273,534,598,694,179,972,640,723,
774,958,870,616,024,337,243,550,045,222,206,085,651,894,936,733,413,050,006,
208,198,643,579,145,847,988,171,595,833,686,750,958,916,852,747,905,040,732,
589,559,529,530,143,546,340,477,948,824,250,756,235,628,980,151,985,787,321,
412,574,341,232,509,137,024,673,742,949,682,732,545,333,611,305,703,226,423,
274,854,641,560,120,455,872,383,768,261,741,596,624,398,571,368,840,773,502,
133,748,884,371,702,807,748,694,035,586,605,713,010,664,917,349,843,054,172,
478,698,589,793,179,605,166,591,463,274,036,954,073,620,689,992,236,601,848,
461,646,713,591,179,271,953,963,436,092,277,565,016,512,822,004,209,710,733,
459,121,309,818,571,809,105,707,110,861,199,102,524,776,625,032,844,274,418,
896,830,770,475,087,048,684,145,916,077,972,922,134,439,939,340,498,601,453,
405,938,441,445,574,594,186,173,151,402,426,662,716,691,193,622,222,675,029,
399,369,517,304,137,915,660,142,966,495,105,968,557,258,142,843,276,596,746,
727,908,308,638,031,422,314,204,929,782,769,596,957,474,432,156,111,956,221,
812,196,580,549,129,574,636,480,601,090,490,087,708,688,402,062,390,871,585,
217,717,807,976,177,532,565,981,723,307,332,823,255,156,431,055,132,312,892,
859,292,245,734,310,721,578,294,986,647,957,594,787,858,499,659,986,097,157,
307,137,737,888,314,628,774,343,914,527,324,960,364,788,241,527,681,720,151,
874,660,978,632,856,390,159,480,857,655,928,682,483,210,520,067,983,040,129,
008,260,248,594,246,521,978,950,182,882,681,992,477,733,503,603,437,758,358,
200,509,792,012,965,706,103,610,912,091,254,827,172,182,335,545,513,066,271,
818,447,722,840,738,733,284,660,634,933,436,222,973,988,612,105,105,991,860,
073,289,403,994,584,823,466,508,132,183,001,280,171,333,372,169,753,548,957,
160,647,273,033,389,472,812,647,530,189,476,618,516,062,983,218,959,787,406,
041,173,615,978,822,764,836,794,399,309,149,995,285,626,520,409,152,560,903,
579,178,881,789,818,188,903,188,512,672,380,485,270,290,288,285,633,341,655,
121,052,214,914,093,092,682,584,423,463,194,290,710,290,129,055,317,108,971,
246,109,419,939,820,549,731,618,567,781,591,883,659,996,178,927,504,888,438,
621,441,882,313,315,769,387,486,824,295,008,332,308,042,502,642,523,960,876,
906,929,312,342,523,403,998,047,280,216,003,322,830,911,540,094,786,710,196,
111,874,644,441,847,515,939,046,910,125,814,134,254,896,991,834,848,983,167,
321,935,618,702,436,817,331,101,802,882,439,751,693,528,062,084,724,475,251,
762,229,588,235,902,890,552,582,749,434,398,380,690,524,802,501,896,931,130,
273,068,056,259,882,578,191,967,553,515,106,260,138,523,439,259,586,023,632,
408,556,906,251,054,798,340,287,040,566,616,220,160,300,118,207,023,779,699,
411,681,290,522,216,519,310,082,578,735,495,176,550,318,634,582,652,607,308,
941,586,899,114,834,035,317,414,076,436,499,209,116,611,081,680,858,866,367,
927,475,114,938,378,749,667,941,748,211,336,969,495,416,017,443,430,112,263,
307,703,060,868,288,165,216,106,742,677,731,156,760,634,492,969,834,827,948,
105,153,498,029,479,535,305,264,229,970,427,859,367,430,962,185,951,278,687,
935,289,780,171,649,727,304,565,415,390,815,155,898,911,658,181,208,707,359,
586,728,977,983,379,178,568,976,078,975,946,685,676,827,862,216,487,795,333,
322,685,139,239,588,922,922,650,954,250,748,984,917,914,599,606,205,392,990,
213,404,584,338,450,979,818,565,279,012,034,339,881,580,673,731,535,924,394,
376,640,964,831,055,950,379,981,712,594,060,414,549,103,050,479,241,393,439,
833,914,334,637,345,347,097,929,996,556,409,716,217,540,962,612,934,056,037,
911,163,993,288,388,345,796,891,483,270,945,669,362,422,557,244,373,095,565,
643,885,777,068,560,735,639,596,602,043,496,987,748,908,201,192,708,935,931,
822,120,480,997,750,763,110,284,547,663,501,150,441,206,309,963,771,327,524,
900,290,420,625,934,278,777,035,875,808,213,014,551,466,980,798,802,704,755,
571,712,947,951,548,983,206,238,155,563,151,368,878,406,991,543,158,158,405,
983,808,877,777,195,818,789,332,350,287,713,299,148,575,870,696,813,896,203,
724,498,023,171,555,812,285,422,367,373,832,148,875,013,167,873,962,260,872,
563,775,675,446,633,319,223,820,830,750,940,098,684,497,407,090,448,317,783,
507,082,468,094,498,630,911,298,478,833,720,339,716,695,267,894,051,875,449,
670,987,622,215,553,425,595,730,725,311,091,765,666,454,729,768,866,614,787,
697,602,979,228,134,826,382,772,500,803,176,870,586,822,088,231,378,966,113,
270,109,861,312,654,416,311,321,826,324,779,556,084,350,839,791,357,291,138,
294,217,539,202,381,623,243,961,926,335,736,284,695,305,507,043,920,203,863,
976,066,524,783,899,912,430,412,124,398,739,910,899,620,679,858,462,589,490,
110,699,032,201,225,788,112,689,841,017,909,950,492,403,506,979,886,590,741,
997,452,070,280,171,953,421,326,001,753,391,347,822,189,509,664,905,785,710,
327,538,170,633,520,391,556,573,253,161,195,820,600,736,033,239,694,909,231,
773,358,572,972,873,808,208,148,736,093,957,015,926,088,727,349,996,611,955,
270,126,433,606,503,023,094,470,812,759,145,326,882,152,961,542,710,585,370,
729,819,822,979,559,278,700,841,026,688,085,230,358,292,987,268,590,340,525,
302,859,282,770,251,756,405,935,900,268,015,294,594,719,547,747,172,033,836,
971,638,561,440,179,954,682,478,330,033,367,616,826,880,666,560,189,171,672,
911,441,902,726,625,961,607,571,699,014,153,538,185,769,816,723,588,011,411,
479,852,621,781,647,122,527,075,603,455,383,473,146,657,603,267,814,487,591,
413,896,399,449,871,831,228,269,431,101,450,573,078,569,104,426,519,216,947,
322,214,625,005,926,142,586,564,442,195,761,238,638,994,070,061,372,973,486,
703,064,893,171,029,002,314,386,795,220,924,797,091,739,830,958,137,677,717,
075,635,533,522,448,784,948,223,088,708,420,959,950,590,519,683,471,124,546,
190,860,860,159,777,440,198,042,674,025,923,996,413,965,395,338,895,313,975,
089,913,114,484,229,318,352,561,853,968,350,452,275,160,879,256,887,499,989,
224,899,082,960,083,925,822,308,709,915,655,357,675,934,294,579,846,014,999,
155,398,996,609,253,643,189,610,591,351,015,359,493,441,149,188,287,362,060,
997,117,856,426,245,452,519,599,925,624,482,839,113,938,071,043,445,479,903,
690,254,914,725,758,448,453,537,648,055,631,009,684,895,249,119,929,785,241,
558,496,608,259,115,164,840,438,051,976,839,112,438,111,747,792,872,295,790,
427,578,735,563,474,379,202,229,437,429,325,352,531,093,137,828,945,462,011,
998,965,270,523,108,569,262,876,920,942,007,554,960,216,219,544,794,763,880,
983,759,480,961,289,561,013,680,183,797,939,479,917,500,121,139,656,395,494,
588,993,578,276,450,109,214,049,371,143,618,822,675,481,918,537,123,187,440,
220,442,711,666,273,465,770,134,219,489,969,121,035,498,189,106,965,531,385,
989,116,920,545,694,101,491,618,223,547,903,050,898,945,343,962,345,651,637,
385,720,876,368,356,072,019,184,864,697,152,711,297,755,189,231,034,129,287,
126,923,631,228,193,212,795,823,483,415,557,343,873,551,109,307,687,816,895,
298,745,403,182,459,755,674,586,333,905,719,437,772,203,276,488,479,656,793,
554,482,191,870,772,981,192,119,266,624,442,514,550,540,617,804,930,824,286,
223,153,326,316,795,721,841,223,446,345,517,667,733,289,765,600,993,772,635,
843,229,804,931,509,648,044,447,870,359,748,002,376,229,282,874,954,526,380,
276,850,855,499,109,677,518,067,948,246,262,405,615,055,392,147,841,188,221,
330,834,058,748,804,899,981,099,204,609,034,707,325,546,693,578,557,228,215,
703,386,573,024,415,951,455,167,358,658,092,351,361,907,704,522,873,073,306,
876,923,653,643,355,477,842,755,431,795,756,541,836,553,960,612,293,503,013,
192,032,784,792,109,935,886,252,114,563,472,918,320,593,556,247,477,513,057,
194,260,179,767,654,935,307,227,481,293,632,155,805,813,090,828,159,014,386,
993,832,648,108,672,655,932,036,648,115,195,500,726,551,192,131,605,071,496,
048,169,986,023,423,356,950,927,051,160,721,751,534,858,642,303,430,168,539,
472,845,781,545,945,406,088,057,234,938,163,736,490,517,876,312,006,871,096,
967,049,819,430,228,088,371,950,842,133,755,371,714,226,549,905,885,213,071,
298,336,737,541,218,947,028,892,356,486,499,967,694,245,208,903,295,692,888,
880,335,168,173,009,089,403,478,660,586,800,571,232,264,323,323,244,852,740,
772,847,427,275,861,140,053,848,335,563,728,245,665,164,547,760,769,959,017,
380,553,429,224,004,655,489,593,225,922,953,759,303,330,447,810,681,985,993,
924,037,880,415,759,243,235,164,985,988,083,490,114,944,824,810,689,685,717,
593,341,038,693,334,501,034,474,284,274,842,739,050,963,775,838,191,662,484,
237,767,699,992,323,211,930,214,859,963,551,645,729,724,130,108,250,819,738,
806,573,294,384,084,037,592,347,736,388,872,558,926,672,802,502,786,992,586,
489,882,201,618,868,368,254,234,996,120,038,645,578,589,363,338,072,928,893,
015,571,567,662,912,007,704,892,899,424,208,924,367,087,263,611,276,939,599,
685,693,047,083,887,487,849,787,207,024,309,687,830,683,263,543,262,189,847,
618,428,325,449,006,095,582,398,780,576,797,607,186,961,237,286,203,125,331,
330,507,666,282,993,686,790,288,280,868,316,354,134,260,041,045,096,407,160,
054,934,197,639,001,359,373,936,707,844,923,419,090,597,642,680,694,165,052,
846,946,285,800,652,783,072,180,035,713,018,005,436,264,964,585,191,727,503,
960,850,336,573,398,775,460,302,467,286,200,487,320,256,990,651,161,233,104,
723,893,476,395,086,445,918,023,545,231,742,861,938,400,964,594,452,779,500,
025,126,345,643,413,149,441,306,687,640,989,650,822,932,261,299,626,234,959,
279,828,311,944,105,762,596,848,351,411,222,207,114,643,308,962,084,547,827,
655,416,494,835,614,129,619,273,960,738,390,184,934,320,449,112,405,604,474,
851,494,301,512,863,376,371,321,521,606,156,997,130,151,986,249,340,627,623,
354,286,524,844,860,306,517,707,544,116,433,425,078,475,941,234,716,324,245,
658,640,808,299,717,705,967,581,515,630,927,039,024,383,375,480,256,785,056,
575,151,940,703,052,849,103,774,321,501,799,925,907,681,635,994,176,735,593,
815,991,645,415,477,977,125,120,674,778,485,736,820,561,356,022,650,221,182,
737,399,196,859,984,305,100,459,982,453,014,259,487,629,919,076,675,075,630,
872,651,113,446,335,600,116,319,979,704,453,704,154,195,663,156,359,973,092,
647,049,637,337,286,338,303,887,115,167,314,680,123,820,796,048,075,735,117,
903,088,204,381,319,794,094,071,204,007,249,419,500,028,787,995,581,652,996,
379,694,477,333,665,334,111,296,366,493,832,964,329,085,221,959,773,632,770,
797,946,101,179,111,544,947,394,665,152,427,938,859,039,286,416,312,236,462,
528,598,891,536,587,920,963,914,367,242,108,468,145,520,683,915,390,129,672,
622,209,125,663,831,948,828,439,605,913,086,734,927,441,712,504,521,842,225,
056,161,711,511,321,924,524,044,526,702,693,771,723,520,327,497,762,111,462,
593,491,468,535,006,685,949,650,769,832,010,673,020,467,576,082,423,300,044,
168,022,929,343,933,951,288,961,467,570,414,422,927,037,915,171,637,657,483,
772,435,214,282,969,478,576,017,251,323,392,393,122,344,395,345,969,516,620,
848,562,767,013,178,487,879,771,307,061,330,807,577,427,306,796,886,290,651,
576,981,787,728,003,464,168,095,549,384,053,346,999,802,579,185,698,629,869,
180,377,637,327,575,975,507,384,829,961,946,611,685,317,164,116,794,227,691,
138,131,629,910,668,271,342,603,837,590,784,958,999,465,609,050,225,447,410,
277,855,229,537,957,693,353,838,464,914,097,036,280,870,169,815,937,180,704,
176,689,077,198,582,146,937,668,925,527,326,106,451,568,294,153,125,447,860,
095,560,103,212,202,457,514,871,858,715,569,236,475,324,077,265,191,493,897,
843,004,150,913,445,750,567,619,024,502,367,682,227,881,590,421,830,865,312,
682,309,694,550,815,448,831,819,024,540,632,810,271,008,165,435,642,847,876,
257,177,155,190,260,380,868,953,463,900,677,366,427,732,462,499,810,279,541,
136,069,521,716,606,448,424,077,374,396,957,199,685,764,557,416,136,010,786,
196,273,162,761,383,459,546,821,588,634,074,919,629,163,206,610,094,051,414,
386,454,186,030,163,121,791,517,909,182,602,083,463,144,542,515,230,929,645,
820,436,189,308,926,858,395,989,503,305,333,660,885,718,677,155,222,819,248,
561,603,021,526,809,051,398,754,736,731,607,690,320,733,125,168,905,498,539,
721,092,523,443,884,582,557,205,162,155,365,764,529,348,335,279,352,136,856,
532,089,952,437,278,132,159,792,991,341,132,078,031,781,895,970,474,200,942,
282,697,184,008,591,259,111,856,823,189,299,796,813,053,702,219,458,709,128,
810,212,000,375,153,859,124,139,711,390,743,748,684,502,391,788,048,969,880,
285,394,450,828,932,121,383,564,641,902,575,806,036,065,690,103,570,816,388,
223,705,308,611,372,865,993,133,413,830,278,620,715,671,672,695,648,648,557,
377,979,673,192,366,626,785,443,666,011,907,341,243,929,707,370,205,226,577,
936,831,568,375,339,914,785,879,129,886,741,706,015,287,789,783,677,887,193,
075,208,931,509,276,665,141,471,938,034,864,883,304,550,477,649,775,344,942,
192,751,694,809,860,258,720,812,424,223,277,879,197,313,276,995,567,038,628,
777,261,876,139,416,774,554,189,518,627,547,595,306,000,512,819,792,559,130,
565,151,955,910,995,019,828,575,545,364,592,860,001,967,837,368,722,502,736,
080,070,296,649,019,008,525,587,255,662,795,801,192,985,022,571,830,189,362,
741,849,792,786,341,142,404,726,086,404,244,230,847,519,083,243,150,213,791,
417,223,164,719,959,407,881,161,858,347,642,817,102,176,409,127,253,450,798,
860,327,783,349,025,282,100,773,709,031,838,774,244,603,424,283,718,657,411,
616,081,259,653,637,659,078,594,085,795,440,933,860,984,624,351,679,211,798,
237,818,736,910,063,622,132,012,133,511,316,246,853,152,101,988,932,266,240,
341,792,678,411,133,142,430,279,514,646,368,787,852,738,166,191,025,499,361,
500,777,868,154,840,161,983,497,320,504,478,200,938,240,225,494,234,403,867,
860,903,901,014,807,316,187,873,392,421,670,961,406,468,091,275,453,802,147,
907,441,440,684,861,792,577,013,884,981,264,774,751,742,952,297,822,469,982,
936,215,928,418,590,490,004,269,620,652,427,038,040,848,443,566,148,000,510,
638,909,859,282,826,717,477,427,299,265,264,267,735,589,854,074,205,817,703,
353,511,273,838,559,737,957,603,676,297,220,145,862,523,011,528,458,939,827,
886,343,500,348,644,182,489,991,597,815,749,939,043,523,310,323,407,773,424,
882,598,026,433,989,144,111,288,761,963,300,388,124,256,734,403,825,225,271,
331,051,817,392,662,865,385,329,160,679,710,221,678,502,668,220,093,453,799,
811,691,538,509,161,604,858,854,125,793,797,497,257,795,526,930,756,572,189,
235,809,113,620,582,651,473,453,167,438,050,523,443,753,839,373,146,169,366,
374,531,241,894,786,642,156,458,290,446,425,207,303,711,011,322,014,581,065,
613,638,149,358,832,859,230,466,637,329,166,825,691,665,409,531,575,372,323,
075,547,938,681,016,618,597,284,819,782,784,088,547,685,069,541,758,107,615,
635,223,102,797,457,100,307,722,930,551,271,102,283,337,442,261,339,153,306,
771,138,224,430,977,718,560,501,479,294,771,088,145,928,413,321,964,784,858,
735,391,472,518,816,828,375,654,050,437,225,687,228,757,907,716,756,331,195,
282,456,027,537,620,002,189,325,806,138,391,818,233,414,211,683,618,225,350,
348,264,234,521,863,839,178,219,805,166,137,409,899,411,238,892,897,543,229,
742,325,792,687,776,662,239,453,727,366,551,142,186,557,942,919,336,215,273,
831,284,077,418,011,843,448,428,400,782,841,263,019,321,482,772,656,152,413,
115,148,539,220,276,794,221,673,408,920,582,932,497,198,198,391,275,783,745,
297,763,195,892,214,194,916,654,756,610,606,653,853,636,140,291,867,063,197,
277,384,994,587,271,820,656,319,556,843,492,060,884,798,962,502,172,371,541,
883,451,870,425,106,307,325,550,263,960,344,732,951,406,146,345,657,248,265,
046,927,812,370,224,346,099,691,709,570,722,940,467,201,245,100,474,146,919,
253,442,643,137,868,087,938,691,956,599,908,217,670,992,048,307,479,461,643,
061,554,414,290,803,759,392,473,640,484,664,971,249,322,777,842,943,129,979,
016,326,379,487,610,151,865,160,870,101,967,079,792,161,078,415,891,317,159,
585,513,080,218,425,297,650,544,234,564,703,433,572,044,585,520,076,479,499,
411,265,177,627,298,578,444,005,109,856,345,079,822,465,066,354,137,120,414,
720,718,825,230,878,660,527,057,489,635,155,191,903,615,353,689,645,594,830,
970,715,813,632,194,456,633,328,893,916,471,848,634,647,181,505,680,294,980,
546,477,565,240,599,512,447,406,184,151,091,026,826,185,197,207,050,088,452,
188,282,763,223,963,281,209,673,128,371,477,793,135,778,360,870,369,560,686,
635,638,731,200,702,290,251,948,428,758,967,187,362,702,328,191,660,413,579,
961,416,140,326,761,930,951,199,580,850,027,629,041,500,606,958,110,672,847,
065,715,318,820,882,331,128,443,128,907,203,731,290,384,683,704,342,522,426,
772,254,578,209,141,645,654,710,772,603,373,225,313,526,371,798,208,112,904,
504,596,207,011,509,754,278,913,266,725,175,377,620,292,728,192,448,304,763,
528,449,074,075,695,327,711,614,621,834,787,952,361,813,897,274,132,176,367,
036,195,920,174,708,527,944,941,358,567,025,812,951,369,507,862,185,744,958,
566,097,190,145,359,288,949,833,074,806,987,606,545,273,589,449,768,901,990,
432,966,400,385,059,247,280,949,761,058,730,601,786,155,099,132,455,397,141,
647,684,598,016,542,919,633,505,325,038,810,405,538,387,010,109,171,880,549,
861,927,377,326,673,995,193,631,144,065,003,860,836,282,706,816,022,891,846,
909,373,490,514,834,399,444,801,287,900,874,501,372,371,743,502,213,431,170,
831,671,265,326,161,101,806,581,082,199,377,346,365,552,879,827,491,031,369,
057,357,719,572,800,397,852,839,080,922,260,308,433,543,273,430,515,254,942,
906,161,485,627,651,585,403,982,067,452,172,425,537,748,937,867,557,974,260,
013,279,828,909,648,123,704,637,795,412,237,871,992,717,083,174,808,284,065,
598,657,256,228,954,389,280,469,682,084,941,955,251,496,339,225,329,221,133,
772,533,017,765,390,340,240,993,551,401,180,817,363,782,102,652,836,784,669,
020,834,305,548,308,902,587,797,006,689,026,576,629,446,674,688,061,570,802,
857,999,908,025,282,057,420,265,984,206,444,644,471,192,044,409,567,418,857,
896,310,960,197,165,600,525,613,691,459,376,841,925,453,871,187,949,408,484,
170,415,047,396,201,515,291,171,130,902,308,755,477,506,902,798,388,130,229,
378,330,142,883,058,980,146,542,885,604,021,331,003,389,361,871,990,156,282,
731,438,542,335,653,307,495,268,857,953,905,235,677,780,040,667,821,147,069,
690,940,613,301,614,991,859,938,007,438,770,858,819,072,246,423,224,494,720,
837,811,713,603,005,639,472,930,251,584,654,618,603,712,341,415,596,045,626,
823,919,785,462,775,298,068,789,424,712,664,887,284,764,282,786,744,438,812,
578,767,003,933,050,166,228,105,113,223,014,290,470,304,983,104,874,048,601,
955,081,506,784,079,282,358,524,377,202,074,976,672,590,807,447,743,870,419,
734,742,569,452,931,042,978,120,325,627,776,862,517,443,335,438,994,337,475,
078,594,201,656,664,609,593,375,341,252,568,860,825,900,251,363,487,884,187,
528,614,499,681,105,696,621,627,214,021,938,401,072,663,741,501,342,031,465,
702,073,461,030,483,224,060,551,883,332,070,716,739,995,927,911,825,529,819,
754,386,182,551,807,482,787,250,630,393,064,771,707,280,385,510,062,739,328,
828,609,277,657,889,044,480,888,799,941,985,649,905,422,372,948,038,162,863,
619,420,671,343,842,921,434,567,798,492,673,140,680,151,856,498,572,286,722,
978,071,279,275,014,531,829,115,644,150,866,439,858,836,533,464,445,924,053,
833,762,577,619,403,325,469,998,738,290,462,201,610,501,389,379,507,679,073,
480,801,024,357,187,211,048,699,432,484,856,608,751,395,696,716,050,378,535,
773,021,699,279,086,026,942,316,788,018,177,150,745,052,911,396,679,859,988,
485,833,915,644,978,686,575,164,556,982,327,885,423,806,544,115,361,822,203,
571,920,503,676,982,185,492,745,303,120,505,837,108,268,803,002,174,407,838,
956,747,094,802,491,776,759,887,176,500,644,824,440,156,190,194,211,209,429,
226,473,046,136,474,041,855,254,711,587,997,182,602,024,158,695,093,802,572,
306,154,897,072,084,029,084,630,436,063,299,956,673,020,302,528,195,897,546,
923,389,445,942,663,375,251,488,518,376,898,945,944,807,693,836,842,156,167,
077,652,392,095,919,204,837,059,237,844,333,404,810,470,620,343,219,095,107,
643,850,888,023,072,511,800,923,126,224,439,371,350,908,476,293,902,163,659,
314,385,999,753,955,389,243,437,900,430,983,169,700,817,362,551,851,088,663,
595,072,609,022,666,827,267,264,127,764,617,273,295,475,836,510,816,010,618,
652,703,261,139,816,459,482,754,341,619,457,352,695,036,081,966,345,030,575,
477,964,533,389,470,534,775,944,189,909,915,507,775,410,653,691,490,455,884,
262,874,176,879,399,654,119,746,110,556,989,398,710,875,466,080,736,588,692,
644,110,420,442,379,215,636,484,668,376,601,685,036,552,739,723,057,874,512,
585,298,112,783,225,144,198,042,906,995,003,242,460,742,169,691,904,020,661,
791,816,849,643,863,038,861,390,062,657,106,419,504,475,818,499,564,484,807,
713,821,670,761,024,654,350,913,004,562,449,901,989,307,618,589,031,683,463,
153,165,179,797,553,801,357,928,572,954,976,715,048,397,858,434,732,427,757,
823,997,934,010,450,050,271,896,496,020,847,798,335,054,269,732,385,314,781,
961,781,374,462,876,757,658,125,577,905,991,701,734,238,745,812,670,797,276,
760,508,987,829,495,740,994,726,631,597,352,643,923,794,451,322,254,301,780,
920,411,396,057,223,618,641,429,844,366,805,471,804,128,853,787,424,344,402,
068,617,288,012,036,593,677,819,979,998,699,995,042,828,548,657,130,472,073,
980,103,099,777,632,974,379,698,236,885,700,988,909,054,449,142,698,334,191,
661,574,956,552,157,801,417,401,267,349,267,229,888,518,633,478,197,114,193,
229,143,155,279,136,794,434,548,553,059,405,672,341,389,789,283,612,839,685,
308,130,370,889,552,239,235,688,524,865,234,718,883,578,125,477,872,295,635,
006,953,541,627,422,896,831,595,175,474,421,062,176,531,680,768,148,137,350,
392,292,544,465,990,577,234,111,002,370,392,399,355,257,683,124,905,591,320,
248,032,711,418,951,930,035,749,441,334,186,292,624,579,067,011,607,130,054,
021,792,870,305,187,308,911,807,624,248,420,003,313,528,669,111,280,061,974,
617,424,253,806,975,517,472,526,268,134,553,521,078,180,862,285,678,746,341,
722,685,317,732,713,923,779,850,372,242,719,611,982,741,879,744,364,996,736,
878,169,097,992,476,918,489,578,218,604,881,319,355,784,798,614,957,405,612,
092,139,311,201,776,700,325,531,004,915,974,037,690,911,812,875,655,087,522,
584,327,962,595,622,325,597,040,938,304,325,601,653,185,691,680,514,616,642,
313,523,242,543,943,360,362,153,247,630,886,423,578,226,802,356,836,297,257,
582,345,419,147,068,819,045,499,719,053,597,019,317,595,803,455,444,957,010,
314,030,536,933,915,429,562,538,945,266,906,855,560,468,059,213,824,213,512,
117,490,541,182,247,524,750,829,309,161,850,722,941,471,272,488,005,290,417,
806,386,206,779,121,402,718,458,723,333,261,995,782,089,055,169,534,750,801,
170,529,851,034,898,825,591,946,964,273,926,550,370,055,930,700,913,910,927,
499,677,450,215,541,509,317,202,099,931,847,339,320,821,209,395,914,746,522,
830,612,971,655,255,353,231,402,693,199,739,824,408,676,007,627,088,973,788,
327,567,536,912,521,110,914,173,853,191,580,242,636,947,678,895,522,744,640,
807,735,010,612,520,788,153,323,437,494,527,318,037,683,952,664,353,735,561,
193,087,441,051,145,623,561,953,218,303,689,243,073,885,827,719,769,736,139,
214,322,405,786,448,194,243,141,217,310,542,028,610,000,936,324,581,374,364,
133,445,304,991,145,134,179,851,884,893,876,575,054,523,103,138,054,109,534,
208,385,053,136,711,179,171,889,950,305,249,731,218,210,949,254,566,600,963,
741,726,972,693,469,905,473,856,144,360,276,465,439,651,890,940,550,369,933,
770,957,569,197,089,017,497,473,710,110,462,923,827,636,401,593,453,667,534,
975,473,505,324,852,118,362,787,222,073,866,571,944,562,365,870,711,715,188,
382,668,376,272,869,014,637,609,821,584,520,621,239,196,752,403,668,664,661,
612,141,981,313,504,331,363,183,282,468,813,401,196,268,253,540,993,970,312,
007,816,022,278,268,191,165,161,180,203,475,931,951,520,164,661,057,344,960,
719,642,531,082,435,175,664,033,059,013,330,197,274,291,789,387,414,612,475,
621,357,248,637,327,766,042,649,220,001,611,687,557,895,735,460,676,497,451,
122,092,546,783,475,245,592,234,208,907,952,826,586,894,712,694,869,027,009,
352,031,987,823,668,575,855,645,687,731,664,267,795,043,618,859,312,781,688,
954,928,265,813,428,528,397,416,772,767,760,760,409,443,670,924,309,186,309,
574,713,475,979,933,107,422,684,382,275,480,589,426,001,595,044,710,433,847,
232,395,463,797,751,978,803,578,321,476,193,524,664,341,931,028,313,444,930,
090,706,737,781,312,492,428,715,265,466,147,012,629,538,810,587,124,950,442,
195,496,438,517,213,148,344,603,574,421,497,971,227,503,798,895,816,373,500,
000,801,805,067,969,248,632,971,172,062,442,204,536,893,039,407,192,759,181,
245,799,102,613,483,250,386,512,896,361,568,165,131,380,099,098,973,893,521,
092,786,085,896,118,653,379,692,442,052,504,237,211,336,400,268,403,086,404,
202,277,075,255,779,288,301,780,827,089,871,550,989,732,813,053,069,089,884,
956,455,961,910,635,806,462,130,719,575,361,487,563,120,717,293,907,288,381,
155,952,081,354,700,258,962,465,780,332,471,691,088,938,282,758,759,632,021,
373,358,929,940,836,990,307,722,911,923,041,273,611,524,913,340,718,402,032,
608,835,784,254,444,934,824,801,921,416,156,986,665,455,606,127,069,165,908,
037,136,630,225,029,682,154,007,435,670,093,250,278,192,053,264,896,814,106,
757,811,789,717,260,406,769,382,323,122,191,350,521,379,131,153,724,881,960,
441,286,289,533,554,466,611,909,309,921,468,521,288,102,994,932,733,499,592,
243,352,614,405,892,311,239,753,107,897,107,335,292,067,641,898,204,213,565,
087,870,771,999,229,348,627,928,754,751,065,622,291,417,281,949,626,904,142,
120,686,551,829,356,002,230,284,460,677,191,351,955,608,534,986,925,201,846,
581,390,800,388,963,370,316,628,128,493,728,576,106,999,458,140,589,486,507,
424,731,615,688,383,214,388,185,616,803,965,361,719,164,304,277,535,113,839,
537,775,071,964,493,480,779,424,256,146,048,951,729,286,296,057,518,917,999,
798,044,322,798,808,269,257,224,255,697,000,684,042,328,111,953,815,123,904,
398,642,613,125,578,140,629,551,736,913,416,733,445,081,980,030,641,298,409,
638,735,397,999,379,336,302,243,353,982,088,898,476,121,423,400,467,527,829,
834,324,030,219,729,083,508,041,826,397,232,441,722,130,637,980,507,941,793,
893,582,919,255,666,903,604,001,516,062,570,400,170,295,417,112,028,259,107,
705,590,752,427,652,148,715,797,261,047,771,316,370,278,882,992,350,325,330,
692,766,893,302,314,427,749,992,126,545,491,352,827,174,518,078,917,969,396,
145,056,725,740,955,770,100,748,376,864,365,246,588,720,846,188,117,460,875,
196,279,103,504,147,986,373,492,662,124,545,588,028,720,787,896,550,647,264,
308,626,517,088,322,661,831,907,126,595,011,981,018,138,165,115,037,792,276,
708,985,453,133,804,306,053,582,363,101,164,927,556,953,585,749,266,210,706,
351,210,633,762,881,509,090,918,285,268,801,959,837,762,493,112,639,684,751,
872,678,560,467,183,396,453,312,239,367,378,403,576,866,902,002,685,653,957,
872,531,399,604,730,064,162,170,713,213,966,630,093,325,786,417,445,511,609,
091,393,645,800,899,712,854,042,335,549,371,483,262,811,349,204,279,181,806,
414,555,808,820,371,183,221,226,953,968,939,528,055,469,350,062,187,917,335,
743,627,201,263,660,627,154,869,836,626,526,663,526,080,697,298,447,413,657,
250,896,644,703,812,896,576,524,574,122,585,724,694,838,363,715,472,907,050,
318,623,611,798,857,604,932,128,422,174,884,842,383,576,997,031,166,917,508,
946,085,831,820,469,622,192,827,705,499,455,087,695,887,254,574,873,778,891,
514,484,178,446,169,989,053,121,577,419,948,744,248,618,034,077,435,363,120,
437,594,393,295,222,330,153,158,859,736,759,574,374,277,320,320,284,991,510,
643,352,011,428,537,917,499,790,107,085,673,894,167,787,111,440,612,788,084,
780,552,904,879,533,454,132,858,261,902,275,812,566,774,922,012,492,304,629,
347,157,704,967,005,916,778,994,630,258,930,816,301,557,843,684,571,936,817,
643,039,867,094,605,593,460,838,063,055,776,854,660,784,646,822,654,771,649,
192,399,367,955,916,072,674,940,696,224,909,239,336,596,566,375,285,205,353,
152,501,216,633,572,414,268,328,671,070,627,124,030,136,118,336,817,499,651,
508,699,739,622,062,338,941,306,759,101,485,032,090,359,553,193,030,193,640,
632,000,303,998,880,328,244,646,130,648,157,494,066,593,570,677,773,516,838,
760,798,924,407,492,439,867,099,435,536,761,435,849,274,776,805,288,349,801,
512,074,432,472,251,807,812,960,023,532,170,463,954,739,582,149,869,628,108,
595,452,257,991,538,949,411,474,488,375,995,216,564,215,106,393,456,196,982,
482,949,103,560,724,564,666,321,241,315,763,449,266,353,112,456,941,844,313,
085,584,385,327,603,143,385,144,261,500,207,675,421,222,253,880,158,496,751,
544,927,169,916,580,790,016,643,388,559,095,711,324,161,291,374,286,647,583,
846,913,506,533,870,253,626,138,391,373,968,607,244,606,000,191,994,624,597,
539,543,900,433,853,468,097,260,696,060,989,763,412,200,818,596,909,650,571,
808,397,613,128,994,264,377,812,109,619,360,616,928,625,216,727,202,570,095,
508,466,659,528,188,055,162,498,541,754,660,064,939,737,060,036,210,235,747,
915,739,194,876,386,106,115,922,709,962,560,848,571,114,277,784,210,256,348,
011,505,780,701,001,840,815,875,597,509,626,318,492,658,007,596,205,478,412,
973,915,463,480,788,932,765,369,235,684,710,544,692,705,265,773,260,362,834,
160,669,376,761,283,207,861,376,720,428,110,539,707,377,213,341,694,184,379,
243,078,348,038,737,214,659,540,819,617,538,986,712,252,067,883,560,657,395,
585,716,762,472,931,227,080,867,870,848,363,030,527,037,023,981,501,826,501,
620,766,617,105,956,295,055,977,401,059,647,433,608,078,100,538,271,172,109,
628,064,358,582,431,548,220,135,163,466,836,864,172,284,578,851,914,653,711,
542,422,734,149,612,262,150,102,284,968,057,609,558,746,600,790,503,759,946,
577,039,577,108,918,538,501,839,146,323,454,831,232,976,889,423,196,300,036,
590,474,446,890,711,394,373,746,514,477,478,767,351,423,511,494,051,745,567,
677,854,231,688,190,806,623,964,915,472,347,120,710,660,096,480,475,082,054,
613,957,397,054,615,423,692,091,434,366,826,763,411,124,844,682,230,024,390,
296,055,329,936,975,419,897,132,359,646,658,787,376,474,610,636,734,087,206,
421,358,774,852,145,715,421,861,872,090,278,773,812,778,945,252,863,667,793,
345,231,073,834,284,252,183,901,853,719,259,408,448,605,096,489,523,330,118,
972,726,151,176,285,224,573,586,207,105,303,551,383,088,748,914,743,952,659,
589,995,942,834,218,896,835,792,123,072,421,758,520,394,338,363,852,529,931,
235,747,423,050,175,763,355,005,119,825,914,257,783,553,733,003,531,230,978,
645,258,633,072,143,323,946,558,108,397,719,630,429,126,792,811,605,451,743,
829,073,657,016,854,798,756,812,264,286,995,819,153,749,692,993,443,280,625,
902,024,844,404,177,091,115,343,830,664,924,978,218,661,378,909,565,264,840,
206,887,184,783,820,911,843,025,952,989,048,316,607,457,134,869,483,441,031,
103,161,220,136,858,574,433,583,437,645,475,308,497,244,466,755,651,400,920,
528,300,090,412,743,958,612,020,240,409,085,610,705,440,013,680,696,088,554,
632,321,925,491,140,840,529,645,193,779,689,268,118,435,855,552,927,946,701,
372,457,899,349,591,784,325,933,595,092,610,771,555,980,066,024,933,843,057,
431,722,038,725,283,568,114,477,010,065,350,538,791,077,204,781,633,033,729,
101,136,973,455,763,754,462,514,405,492,632,417,613,534,441,902,886,908,281,
700,317,313,340,199,256,044,829,087,063,167,341,779,150,580,782,153,760,549,
641,483,667,007,037,576,154,913,070,023,701,100,834,671,100,844,752,349,279,
063,137,388,537,959,442,020,360,514,908,306,493,794,915,555,243,717,929,187,
725,419,095,040,195,780,173,585,270,914,633,634,537,812,060,267,165,134,602,
060,983,253,920,978,362,896,845,622,647,794,031,962,208,104,528,766,124,901,
377,692,984,261,648,866,482,727,575,036,294,406,935,639,656,882,510,284,121,
198,919,237,151,021,909,761,049,027,500,610,171,618,710,416,348,313,481,221,
099,989,258,357,306,897,676,344,121,728,517,637,240,746,582,552,404,878,361,
937,824,482,759,448,102,275,197,318,630,548,136,678,563,405,819,445,466,739,
982,931,986,236,783,270,325,154,054,530,047,162,994,553,016,212,677,593,307,
625,169,150,542,297,048,581,740,634,518,947,339,531,924,163,246,007,612,433,
168,376,979,302,335,398,257,242,585,189,094,830,986,036,423,888,481,548,863,
287,198,872,698,955,961,526,213,627,989,527,759,181,674,267,490,740,891,162,
573,007,730,641,611,691,783,306,380,800,605,294,208,126,894,155,075,091,574,
498,116,937,188,781,676,642,567,900,925,081,685,361,073,859,950,113,369,719,
418,987,559,393,513,235,078,646,089,076,286,373,255,989,503,752,523,009,465,
690,496,536,866,558,486,055,032,041,303,400,620,798,185,850,084,380,388,087,
691,312,706,163,834,167,799,954,938,885,217,288,436,235,987,334,014,339,392,
822,775,835,820,846,021,605,455,980,741,310,536,613,417,868,992,464,936,006,
192,327,181,971,438,930,922,639,389,507,539,198,717,824,473,014,985,689,131,
137,679,525,105,476,374,466,072,266,301,418,806,652,838,328,883,881,951,836,
736,062,874,682,051,816,913,871,575,589,292,508,481,919,143,550,839,053,530,
538,260,888,273,845,717,381,606,945,284,271,805,967,670,927,085,957,550,274,
185,588,837,212,802,145,356,238,341,751,538,187,524,072,538,399,037,128,354,
980,667,457,934,349,379,789,065,821,307,415,915,125,041,250,538,942,496,652,
393,288,471,825,148,801,384,926,353,373,416,491,934,161,940,915,827,835,573,
648,152,795,665,720,149,127,040,915,245,796,612,603,061,430,526,971,302,561,
173,931,164,500,271,893,797,263,334,801,104,776,002,257,755,445,204,153,403,
821,149,956,868,795,747,205,395,413,593,120,826,826,112,226,987,354,379,542,
205,972,613,784,071,252,029,581,002,695,831,216,964,452,248,873,953,542,980,
537,683,655,842,087,197,041,733,009,397,276,574,077,999,717,111,094,346,106,
590,482,537,962,818,009,361,619,550,046,122,941,106,959,577,877,634,033,231,
203,557,315,291,284,021,590,487,465,424,420,418,406,904,685,894,315,047,376,
986,805,634,963,744,956,574,117,056,827,514,089,320,997,812,116,328,679,972,
928,073,573,679,229,350,515,355,425,445,888,731,600,925,402,664,180,136,577,
135,397,436,635,197,671,398,473,989,996,522,948,576,942,904,041,373,979,343,
865,270,029,758,847,448,774,218,464,788,084,355,844,860,848,817,451,891,852,
521,203,817,965,945,921,084,040,343,715,760,084,964,187,461,872,492,372,538,
457,808,215,238,580,114,866,931,512,584,460,862,317,301,075,549,648,460,344,
920,576,684,119,908,595,531,546,412,499,634,586,914,246,294,248,310,739,704,
304,825,899,811,064,975,450,094,312,052,088,236,596,553,864,549,424,942,662,
782,586,537,966,710,885,967,678,129,672,930,569,788,075,342,729,552,247,165,
881,937,421,151,685,117,030,570,522,609,810,178,806,526,767,519,899,826,643,
575,577,296,594,278,162,067,211,168,904,868,674,149,986,654,823,154,495,563,
581,610,015,617,065,682,159,386,713,037,551,920,418,206,604,512,274,175,625,
339,690,322,589,765,612,246,393,568,478,935,127,949,225,503,767,111,885,278,
167,887,515,278,030,095,371,125,058,991,453,335,025,305,568,430,691,175,949,
135,043,482,706,710,800,998,542,708,860,237,705,560,625,359,630,753,768,002,
050,544,478,804,071,533,908,547,724,445,055,182,939,356,292,613,127,326,620,
916,638,158,478,328,296,641,449,047,446,013,297,805,827,936,324,560,210,655,
145,841,456,057,272,653,804,956,047,269,233,981,948,313,875,899,140,566,737,
450,341,755,726,459,007,171,036,178,242,774,560,490,656,396,301,202,111,034,
796,650,037,224,263,486,193,214,691,843,995,753,535,348,869,431,247,132,662,
853,753,425,764,379,123,637,360,141,410,811,513,797,110,839,843,488,547,044,
740,967,035,053,557,609,728,527,038,226,071,199,062,495,301,412,754,817,922,
898,047,234,558,549,612,579,586,122,982,524,939,392,119,414,322,868,220,549,
177,149,219,034,132,917,463,854,170,368,094,940,865,470,882,882,481,435,541,
934,849,243,612,663,477,545,463,061,583,589,278,554,103,832,839,881,667,711,
001,187,425,458,758,546,642,577,143,869,376,709,355,378,945,108,934,347,139,
539,183,131,270,313,553,281,551,541,890,982,353,939,224,912,375,734,871,938,
877,690,536,660,398,691,517,190,670,053,265,134,455,135,648,948,584,929,555,
395,959,696,768,693,989,156,650,155,937,377,936,352,297,952,456,059,009,870,
036,088,745,868,737,507,119,227,774,873,081,401,936,229,221,295,099,677,275,
421,750,720,745,805,114,645,061,899,000,857,945,697,037,161,181,532,968,868,
237,024,241,331,177,542,962,876,394,384,536,644,211,923,662,441,845,604,441,
618,261,534,327,595,214,349,898,324,860,616,564,725,110,663,732,205,117,440,
508,502,033,557,544,992,083,600,266,583,663,175,236,636,068,378,114,732,165,
271,072,422,985,129,767,382,731,435,318,452,417,198,245,046,044,911,325,281,
996,232,088,047,924,800,944,181,320,300,583,627,626,925,786,365,623,964,443,
753,274,500,869,462,034,534,647,025,862,612,439,192,936,198,638,686,719,914,
483,140,648,155,394,328,955,174,638,037,083,956,344,870,955,152,715,446,251,
652,063,379,216,965,334,202,379,770,545,483,230,134,593,631,891,961,962,022,
437,651,782,323,915,306,987,945,779,184,392,980,973,818,128,643,362,613,601,
061,979,705,526,857,797,669,595,003,907,718,623,699,428,942,755,569,298,598,
401,129,591,669,037,202,600,953,336,573,137,624,112,111,800,239,907,775,175,
134,374,833,100,084,906,830,279,081,699,150,952,840,369,829,998,144,841,096,
152,848,178,658,059,862,427,358,555,852,281,101,968,164,225,432,194,317,572,
014,704,854,178,926,323,217,063,256,361,557,052,811,734,643,438,437,141,358,
017,014,666,253,567,123,526,368,060,102,850,376,238,057,317,090,978,156,759,
985,803,851,115,549,766,590,103,106,285,397,838,277,898,173,152,056,806,445,
465,033,333,908,192,890,581,550,705,891,875,747,210,045,752,098,209,904,201,
988,018,842,949,446,733,878,893,943,775,728,213,829,214,542,052,145,438,484,
054,941,766,438,919,610,922,205,841,095,439,773,504,107,899,690,275,863,878,
515,585,331,268,953,961,022,730,326,297,452,658,515,902,341,325,594,971,130,
307,577,061,778,385,130,672,687,085,589,895,599,642,827,960,154,486,948,749,
812,296,503,095,462,103,347,292,088,004,481,821,139,648,474,683,239,823,835,
404,704,707,651,879,211,531,776,760,593,984,777,526,028,292,257,138,908,300,
773,548,538,361,280,936,603,247,842,604,041,403,786,835,844,434,824,025,531,
519,459,629,706,473,017,336,112,059,467,352,772,620,128,825,829,671,724,548,
999,615,152,172,519,228,806,981,511,931,808,719,201,688,768,056,641,703,220,
654,336,613,616,481,062,008,813,891,420,405,913,090,945,724,696,668,452,137,
637,620,363,661,969,203,323,494,811,982,492,758,787,243,199,605,508,849,785,
879,424,114,800,581,920,228,963,768,501,128,490,898,241,257,426,506,664,662,
390,712,514,659,921,798,765,657,772,869,777,683,889,164,454,013,863,891,573,
359,175,493,959,368,345,463,047,137,173,469,926,741,163,938,985,522,032,745,
400,588,433,455,343,987,841,768,967,389,585,889,038,374,199,296,915,429,307,
136,017,750,855,414,119,410,303,509,562,094,496,652,394,921,247,158,757,956,
321,340,783,651,420,772,317,921,382,471,662,105,985,481,290,471,675,308,938,
791,279,485,853,148,470,695,351,274,755,630,773,046,716,481,985,341,896,214,
884,094,914,811,336,001,755,687,819,014,713,651,567,915,284,767,738,013,476,
948,848,593,833,480,325,571,651,039,947,054,940,664,659,226,322,100,120,887,
723,631,185,180,463,535,368,267,236,822,042,796,093,509,840,485,982,949,832,
845,383,615,195,590,110,280,321,047,251,801,969,741,710,464,073,033,486,608,
860,391,866,090,910,384,629,138,275,204,231,708,968,618,294,523,829,475,394,
471,409,397,860,404,044,862,614,662,476,974,806,430,867,220,689,994,406,242,
156,841,310,958,963,178,932,959,104,459,667,204,758,881,547,373,926,285,810,
215,010,729,983,710,451,513,747,938,923,057,757,143,368,455,229,962,768,869,
911,249,782,223,679,127,541,808,696,009,526,404,076,255,346,274,475,530,430,
236,262,215,498,254,361,164,597,613,258,943,580,278,120,432,290,724,606,064,
950,689,285,294,724,808,551,376,202,946,137,398,131,990,911,333,948,907,394,
008,279,273,306,647,097,202,612,698,334,122,176,075,805,255,596,397,023,186,
048,765,108,462,370,073,519,063,957,233,563,615,064,279,750,109,693,294,649,
548,477,650,798,611,101,407,264,110,452,590,470,615,248,807,041,835,261,109,
081,527,771,753,213,438,613,690,324,774,454,189,321,645,305,443,395,367,354,
329,907,199,184,416,747,701,007,411,619,812,546,497,040,048,435,503,729,101,
732,561,758,326,822,958,207,969,991,933,245,650,055,746,187,025,167,226,486,
125,435,135,609,461,125,183,304,349,117,395,998,863,100,948,853,141,735,963,
739,737,223,316,185,835,849,543,373,121,626,424,493,431,322,026,327,110,977,
142,718,933,209,607,348,892,496,835,264,789,637,560,689,858,662,384,657,747,
261,957,077,833,525,003,565,425,572,799,862,185,637,275,633,317,514,377,772,
710,805,393,343,280,018,035,656,043,092,581,479,247,638,151,354,800,221,068,
233,052,081,441,830,572,370,272,664,750,941,669,827,290,513,867,460,198,854,
616,972,344,115,798,955,518,706,541,048,184,138,490,837,094,917,411,370,344,
259,455,098,172,611,358,795,489,022,455,351,129,629,660,508,983,734,313,698,
531,689,642,893,674,141,580,685,734,771,934,270,133,619,450,435,077,686,845,
461,198,038,841,617,338,376,014,669,242,812,841,587,487,981,257,181,393,643,
246,543,600,944,804,111,441,809,580,152,680,197,613,881,076,567,989,333,506,
947,790,342,816,293,384,553,055,517,109,470,945,256,393,829,466,642,547,245,
370,483,230,169,525,224,988,736,380,213,076,764,856,396,635,037,859,815,717,
167,271,873,945,111,457,780,196,904,173,296,828,722,434,622,388,576,455,767,
187,822,239,062,533,456,575,469,048,306,434,007,700,438,929,081,520,397,307,
776,325,989,687,838,683,191,817,194,034,443,552,378,042,004,151,492,367,628,
624,972,926,527,363,256,377,334,041,364,918,288,045,075,253,636,979,997,295,
783,138,917,861,084,505,515,171,451,858,864,414,130,452,989,376,242,289,113,
644,262,123,132,952,971,183,328,070,510,268,078,801,323,801,919,290,755,010,
077,887,049,724,490,647,572,363,734,053,717,851,848,430,791,158,809,468,366,
111,076,297,915,729,729,173,861,112,787,613,331,041,066,888,798,445,549,150,
913,905,642,608,772,927,225,245,656,513,648,406,245,979,913,299,196,742,524,
728,723,986,517,235,721,124,356,464,982,748,104,938,886,055,947,373,382,112,
214,058,623,670,622,980,977,066,078,349,613,199,284,271,474,056,576,290,255,
544,338,285,385,006,817,386,175,314,232,479,375,319,861,292,614,376,388,450,
758,760,961,463,370,446,954,927,273,706,373,521,203,187,874,317,459,807,974,
201,841,549,913,975,340,175,919,645,078,090,678,926,175,253,825,301,718,540,
581,263,616,533,644,154,314,837,138,566,596,648,637,621,723,873,301,450,299,
985,727,400,621,703,431,741,096,386,122,725,836,984,770,985,755,631,439,928,
453,101,617,782,046,090,159,476,383,101,484,394,022,632,260,882,746,207,852,
396,276,476,749,827,006,579,418,862,302,689,682,417,692,922,756,421,709,948,
099,414,351,648,463,374,908,570,687,232,390,508,061,152,601,104,905,227,395,
295,493,384,391,872,535,050,513,571,275,455,983,265,819,523,457,603,926,047,
427,277,348,093,162,452,499,114,766,435,267,650,098,578,451,061,101,648,144,
015,709,206,676,862,791,219,403,438,536,184,514,111,956,924,531,796,427,094,
368,635,190,352,370,077,186,212,254,484,316,691,568,366,919,121,912,369,346,
019,650,203,589,228,563,106,927,828,750,236,753,180,735,114,307,611,243,676,
836,720,996,495,745,625,743,720,706,734,103,552,080,958,926,727,126,878,935,
320,735,874,090,670,375,350,320,098,606,025,366,158,034,918,291,331,051,323,
896,255,531,625,149,168,649,844,493,764,788,543,090,491,728,398,933,048,501,
902,685,130,023,581,328,767,187,543,884,154,839,056,038,285,577,493,235,484,
216,999,856,067,366,603,012,106,777,300,301,322,088,647,547,023,685,336,601,
313,001,060,240,491,391,195,985,949,553,645,250,093,571,310,989,590,793,511,
276,471,031,540,755,917,104,917,889,896,250,100,660,622,723,865,416,520,382,
696,405,136,566,335,213,957,369,512,866,746,808,799,075,176,188,076,751,052,
024,878,563,557,649,927,310,260,128,543,074,296,729,543,281,013,015,580,797,
842,886,339,143,920,681,034,927,774,728,321,959,903,431,687,485,567,122,466,
950,820,496,304,887,684,864,339,895,085,102,908,771,638,558,207,645,685,959,
367,202,938,084,539,092,500,483,516,810,018,919,476,468,708,243,143,279,451,
133,470,323,861,120,728,321,813,346,079,730,420,742,773,004,806,480,129,587,
967,323,955,614,593,401,131,594,732,457,485,926,636,742,977,767,066,174,861,
749,999,105,879,381,286,186,159,100,854,899,127,377,890,042,710,976,021,052,
486,904,833,368,814,940,017,467,932,453,669,916,179,401,574,102,722,692,123,
978,406,553,443,803,193,578,837,335,233,718,875,127,773,187,423,799,657,404,
613,739,832,247,157,251,030,955,948,451,913,758,379,145,042,673,076,243,708,
777,175,515,060,505,029,280,757,328,664,628,408,214,268,030,596,891,404,839,
104,477,434,334,870,584,389,732,658,940,270,572,364,769,292,657,411,426,803,
833,264,423,212,433,269,811,977,038,979,594,614,610,674,025,608,378,159,868,
304,122,881,554,356,807,156,163,592,644,792,922,547,634,317,997,825,234,285,
769,247,994,235,620,467,511,247,094,037,761,681,329,509,815,970,274,419,419,
142,727,570,672,388,066,021,415,282,723,622,420,325,098,068,478,529,500,910,
835,179,256,591,083,899,187,653,620,731,291,760,904,801,573,540,324,553,081,
128,973,670,526,429,708,385,476,429,902,889,092,985,280,655,356,982,623,804,
305,615,133,271,661,676,414,335,983,254,996,419,882,644,686,672,681,321,266,
900,202,093,877,104,681,694,709,076,407,322,526,553,925,176,306,272,075,886,
977,415,497,381,770,007,803,729,627,919,103,644,795,623,549,708,091,755,019,
129,958,590,141,961,812,085,585,175,847,049,811,468,492,218,574,862,319,199,
136,600,368,987,613,054,954,865,536,170,934,849,769,563,309,512,596,800,384,
765,830,067,270,551,114,098,813,421,145,314,140,100,017,983,549,657,137,934,
715,142,543,894,458,382,110,861,936,239,384,014,185,515,658,646,686,007,642,
877,873,091,461,564,790,214,665,582,537,828,916,809,525,232,053,284,610,190,
952,806,921,783,527,029,427,239,108,301,488,600,652,651,459,838,372,591,302,
484,372,016,588,243,973,764,289,428,115,603,193,825,698,194,996,213,232,489,
864,880,437,748,462,086,778,155,240,196,948,727,429,154,872,485,595,410,555,
738,263,937,723,251,755,096,421,610,911,483,351,580,229,631,117,694,063,054,
524,165,346,074,802,004,141,687,992,926,858,628,549,788,235,302,785,294,655,
370,581,024,393,701,404,665,801,238,541,193,589,890,729,129,394,074,401,468,
765,712,206,642,852,916,280,620,485,313,281,181,247,495,845,377,061,366,347,
993,241,965,735,534,381,946,875,162,356,348,958,495,502,097,554,867,093,303,
835,184,056,915,512,996,837,982,471,402,363,642,748,481,247,341,288,461,335,
457,790,798,138,870,733,181,341,049,152,187,007,284,006,343,852,601,587,084,
323,815,315,505,478,618,211,076,796,569,776,598,098,934,924,020,325,629,298,
113,020,359,831,886,249,406,895,089,404,294,455,028,262,686,025,891,722,553,
165,142,292,085,625,138,855,134,264,285,232,667,594,216,421,697,834,227,838,
513,178,977,307,070,138,770,183,552,989,860,973,455,832,162,425,210,005,304,
877,093,955,953,488,950,857,448,742,221,958,757,794,231,768,105,636,180,768,
191,023,911,472,663,790,757,785,524,667,884,338,772,175,738,250,893,160,009,
762,773,549,951,775,368,744,559,838,394,525,621,334,259,383,909,570,447,388,
000,239,754,344,973,668,967,172,960,205,837,519,357,397,548,752,932,881,944,
362,648,902,575,313,368,985,977,348,675,982,768,301,356,038,571,635,805,035,
748,037,741,824,711,923,833,995,298,933,230,098,183,478,362,170,925,368,005,
097,288,477,415,796,895,191,699,735,018,275,146,342,074,400,351,912,380,260,
279,759,713,010,403,583,774,541,965,671,297,780,480,836,431,211,614,287,291,
143,141,384,613,073,199,119,718,632,849,543,714,528,111,299,868,321,212,644,
084,347,130,292,680,873,443,407,991,430,200,643,865,419,444,017,080,086,001,
696,533,373,338,709,420,826,261,497,579,370,589,412,234,797,177,735,005,713,
306,732,826,162,053,282,656,875,253,212,040,247,794,390,635,993,927,946,246,
210,778,579,324,126,429,369,728,499,228,325,495,063,685,469,236,112,699,564,
216,656,193,394,718,914,566,411,687,637,291,820,466,285,166,302,932,327,958,
489,572,520,498,435,251,242,726,234,710,260,833,530,472,817,407,200,584,935,
332,357,280,794,035,676,204,701,142,529,321,295,023,774,664,709,152,535,911,
607,791,869,083,656,358,539,239,036,624,542,383,368,170,860,250,330,598,970,
549,067,131,633,463,374,739,840,283,408,311,680,564,201,341,501,592,221,308,
896,397,273,228,757,209,422,132,961,755,683,816,939,203,198,437,410,050,469,
514,164,027,225,430,452,868,797,211,463,983,043,932,587,013,912,849,957,269,
306,071,329,322,903,047,669,686,842,189,648,619,211,515,370,886,704,224,168,
772,468,604,760,570,609,573,230,049,410,042,703,392,167,295,192,003,789,359,
453,946,170,668,244,793,524,275,003,219,702,626,981,597,259,309,554,303,166,
070,907,231,007,533,330,324,665,216,050,486,698,895,041,729,104,762,769,685,
661,660,026,728,021,778,332,998,960,346,818,619,175,078,181,030,605,526,488,
748,164,277,340,117,630,964,374,855,573,534,610,414,248,428,488,872,851,107,
641,636,093,405,637,177,828,289,967,508,993,085,415,359,162,145,378,295,684,
975,879,634,580,627,500,575,827,356,301,150,267,995,142,119,764,063,403,137,
887,601,414,476,390,388,327,242,587,592,401,846,048,058,742,057,469,734,722,
285,277,186,448,218,161,698,442,603,562,020,411,353,248,561,734,863,469,736,
628,568,445,641,745,854,512,294,299,689,745,295,265,166,210,388,541,577,681,
038,955,250,267,692,892,615,594,728,297,650,208,789,613,407,971,120,596,037,
199,166,444,768,130,124,307,177,050,342,013,223,480,018,660,078,235,489,814,
937,171,711,688,003,344,223,682,562,790,080,466,759,249,434,276,115,695,953,
273,331,004,382,253,912,398,021,551,793,776,896,459,030,183,629,360,985,245,
871,335,455,960,098,889,886,256,422,142,642,873,846,729,411,836,194,817,863,
890,752,065,685,561,465,381,880,139,219,992,516,904,476,723,664,086,585,837,
045,641,054,320,600,787,158,318,248,878,011,222,159,351,577,787,490,548,990,
927,470,498,748,899,094,043,932,634,786,842,070,223,115,402,125,249,736,443,
361,535,210,251,570,329,228,949,904,640,421,690,425,510,462,698,290,042,437,
421,102,762,893,872,537,589,415,981,101,410,393,722,966,894,570,862,071,834,
948,950,502,524,264,889,676,131,748,163,760,590,412,273,963,012,380,806,423,
126,141,831,507,262,592,422,542,006,482,388,679,577,052,589,703,889,364,860,
243,304,371,329,012,898,637,931,491,894,252,822,021,730,940,929,313,663,373,
536,844,832,742,592,349,596,007,481,634,718,606,263,467,604,165,883,827,441,
316,884,053,683,446,508,465,305,259,084,736,311,951,064,484,243,334,498,729,
350,260,805,458,303,646,092,519,563,881,291,817,137,331,493,642,954,949,677,
079,133,561,720,619,702,059,673,286,831,048,187,783,495,832,337,883,835,266,
097,523,279,024,843,033,377,379,368,068,575,404,785,400,685,136,609,135,658,
282,377,719,147,441,116,007,451,228,344,416,767,738,905,465,079,160,635,105,
275,651,220,136,389,256,406,043,441,808,019,429,029,769,652,726,716,229,088,
517,633,584,603,302,904,418,794,401,060,889,060,823,483,634,496,665,603,272,
725,721,639,841,538,312,303,278,236,604,402,610,142,604,362,815,307,126,855,
894,476,323,177,791,692,675,610,529,101,031,235,961,044,626,411,546,246,619,
704,594,220,144,479,192,249,206,865,817,096,147,803,305,084,595,559,658,498,
524,362,769,750,601,136,240,334,534,446,082,982,515,287,689,456,477,377,759,
542,088,390,250,518,173,307,490,830,028,786,870,143,794,794,998,859,222,605,
306,228,027,489,498,671,226,225,099,865,718,372,918,795,807,936,848,870,943,
866,259,829,434,682,416,023,127,587,947,007,069,789,344,252,673,177,341,397,
254,206,864,659,603,395,471,143,138,593,935,477,399,629,326,906,322,974,187,
653,260,818,627,378,381,548,971,508,085,033,933,620,051,343,452,835,398,214,
059,072,546,612,636,521,716,822,057,080,809,361,686,651,635,297,624,119,984,
153,912,222,264,353,782,095,653,264,190,457,763,310,223,878,393,997,408,989,
426,733,598,190,408,736,760,525,604,802,321,555,853,523,973,931,135,514,896,
060,679,342,731,843,799,661,190,582,983,074,852,015,139,094,141,712,343,252,
602,269,690,258,211,243,388,901,453,236,814,325,838,246,051,733,535,536,674,
960,865,496,231,017,536,668,075,126,633,034,846,602,284,962,739,996,117,800,
388,877,587,129,168,845,467,642,551,871,425,944,414,893,418,632,528,010,370,
608,518,084,434,157,635,671,479,682,033,580,328,636,320,271,325,110,648,665,
619,364,664,343,571,241,526,607,876,652,536,185,541,204,030,461,629,826,839,
073,463,795,736,120,195,451,241,042,385,269,129,402,380,001,953,607,561,537,
821,138,563,065,762,364,987,191,107,530,569,952,486,404,483,891,308,825,341,
144,402,474,739,274,957,066,452,492,435,825,789,024,493,973,115,956,495,500,
621,246,005,589,585,703,457,880,943,980,867,303,882,705,099,336,826,883,584,
761,548,407,774,414,535,696,539,819,059,337,509,336,093,439,343,247,692,247,
959,587,472,183,542,222,407,149,002,594,090,089,610,899,179,475,678,822,297,
294,312,434,028,650,691,267,106,010,418,426,159,544,750,647,218,492,596,139,
556,008,316,439,948,823,384,453,134,316,266,010,711,971,076,486,781,589,444,
396,815,012,578,319,481,832,591,279,984,750,423,783,029,061,223,325,676,338,
610,904,157,769,617,926,716,140,791,644,488,061,963,447,529,143,038,041,011,
231,986,064,731,024,697,719,920,964,218,594,076,568,162,195,639,874,758,287,
973,504,929,924,989,773,245,113,318,131,245,905,758,364,143,466,782,389,552,
509,904,952,235,874,355,345,864,026,899,007,065,266,647,892,089,490,994,557,
546,280,657,990,854,093,953,695,968,878,552,970,640,916,761,467,527,933,123,
550,948,875,514,156,570,004,720,510,609,423,332,418,000,439,307,907,142,698,
523,109,723,466,947,051,130,965,250,640,252,680,295,418,621,269,639,262,135,
767,811,299,888,978,858,586,209,685,900,020,961,793,396,799,245,791,702,812,
825,399,730,630,318,809,425,382,804,707,061,232,880,182,650,425,564,752,155,
360,703,384,747,619,407,546,085,313,134,679,771,523,203,745,050,829,541,891,
569,616,416,259,902,480,752,795,380,525,691,235,269,744,546,539,013,547,790,
481,498,699,786,379,538,738,804,581,551,613,866,009,664,675,342,128,344,751,
230,022,114,141,169,710,262,754,877,022,647,084,625,164,642,743,347,774,554,
131,744,979,883,614,025,378,552,983,563,356,646,439,548,982,484,883,951,462,
912,809,753,910,839,914,685,717,595,131,882,064,474,221,942,699,220,606,844,
157,025,364,857,228,329,307,959,882,999,835,835,863,656,884,200,708,773,364,
513,660,080,200,797,006,787,380,299,190,151,331,677,992,844,214,496,017,118,
439,223,188,716,643,833,854,605,547,479,522,456,726,620,027,008,461,123,970,
753,605,470,687,290,365,307,920,418,847,550,393,068,163,663,765,764,140,533,
396,747,354,868,105,037,868,816,560,350,655,994,201,260,604,947,824,793,941,
739,037,217,324,304,681,064,589,142,042,785,881,192,550,932,219,449,275,265,
059,066,288,770,988,390,261,849,850,404,076,420,068,591,440,806,115,674,206,
603,011,351,029,703,292,749,574,139,660,562,225,515,858,986,149,006,414,973,
870,356,339,936,209,742,329,500,179,250,588,243,809,434,319,646,876,806,497,
561,938,016,633,683,178,792,643,938,259,495,271,083,150,092,297,592,577,033,
355,232,536,043,298,964,314,604,533,027,173,865,825,580,675,424,678,383,622,
285,377,061,412,596,567,281,234,582,094,244,700,213,857,961,713,132,329,155,
638,276,280,314,754,715,832,621,007,714,430,909,082,697,046,227,057,093,090,
434,468,042,611,086,049,137,406,236,021,967,439,125,499,085,119,843,098,013,
986,047,339,393,225,003,196,765,379,708,653,110,789,298,544,260,420,003,471,
438,330,086,011,383,010,587,758,211,358,632,663,585,290,020,737,609,126,768,
820,080,577,914,570,449,648,189,143,135,715,359,453,310,457,681,385,407,314,
279,653,849,559,553,625,888,396,532,014,603,023,535,823,730,984,441,537,364,
048,298,317,603,810,594,230,945,145,724,431,863,472,320,548,766,068,139,416,
276,459,852,316,081,756,886,747,551,218,971,873,661,778,050,449,384,564,486,
972,338,060,638,705,272,586,723,626,449,914,057,630,631,232,987,051,328,899,
668,721,911,470,844,798,205,294,160,688,571,045,499,212,177,361,663,143,670,
264,512,514,072,798,755,200,625,844,203,341,424,677,291,183,809,236,498,012,
528,582,141,500,602,627,583,505,307,008,724,773,864,327,692,628,084,981,538,
181,970,646,581,507,631,182,344,165,087,460,904,331,472,479,145,426,479,426,
240,884,220,670,844,864,313,004,144,687,507,523,883,719,105,620,690,112,728,
780,465,300,142,569,374,814,769,074,169,599,664,943,023,281,241,791,304,777,
662,868,692,312,546,550,707,440,945,350,720,513,136,603,046,500,266,327,828,
685,488,824,323,639,878,190,535,591,560,832,978,607,907,303,349,902,842,920,
954,740,939,355,896,339,312,109,037,894,925,330,761,259,071,654,224,214,132,
531,615,122,546,070,644,419,359,475,975,825,549,576,154,086,725,497,113,484,
357,691,544,634,287,830,406,703,411,753,055,204,388,532,785,448,100,423,317,
804,437,577,071,305,538,873,348,909,585,088,408,936,175,148,996,908,606,578,
266,438,956,392,345,714,285,164,655,197,168,401,016,563,322,050,560,338,989,
771,588,276,570,523,555,264,002,993,942,112,278,694,624,496,419,554,588,529,
792,561,095,775,867,143,856,225,077,384,676,185,034,904,924,286,294,856,694,
032,543,779,393,104,519,497,881,953,748,819,311,427,636,736,478,017,814,326,
749,263,561,488,043,826,191,753,894,482,001,720,089,721,063,928,213,733,818,
875,570,526,513,607,973,358,211,445,807,295,776,161,436,065,564,427,353,279,
646,102,193,369,785,341,305,304,042,855,791,043,301,642,196,149,007,913,645,
185,975,751,687,540,179,935,451,349,849,334,305,057,039,492,413,082,925,913,
698,404,068,871,575,811,072,902,928,064,510,404,549,883,976,252,347,537,561,
417,605,173,559,447,072,207,122,216,041,721,355,773,575,508,917,163,524,469,
140,104,003,193,369,763,813,384,969,854,522,911,774,616,729,292,068,302,972,
045,229,462,955,850,412,466,432,300,263,601,675,910,019,354,854,118,646,718,
343,917,924,171,638,133,271,156,869,597,208,633,745,284,208,095,970,630,728,
467,610,749,620,183,384,816,716,657,008,849,446,674,030,490,849,263,863,235,
386,500,204,836,715,073,549,570,859,963,741,231,288,898,730,579,474,139,533,
875,678,140,091,222,562,120,808,010,890,248,169,757,757,763,855,598,792,066,
543,484,220,206,493,374,467,050,036,922,934,560,269,783,613,121,859,036,255,
735,157,980,276,601,932,009,615,920,025,760,088,660,510,172,016,752,352,366,
099,632,862,718,596,056,244,151,807,511,716,199,932,320,823,167,230,336,123,
443,991,308,918,062,861,100,632,461,637,282,279,875,920,192,548,369,718,223,
439,062,271,179,486,668,382,238,391,625,391,801,207,188,593,497,802,329,444,
395,601,295,962,256,218,535,301,471,026,700,951,859,759,328,194,061,477,179,
239,739,692,459,100,169,361,286,051,057,868,864,996,931,615,602,904,131,595,
887,490,044,235,235,425,080,994,805,209,080,184,461,204,698,390,529,937,582,
203,204,481,652,501,375,681,050,777,571,796,834,684,389,465,026,078,255,879,
818,146,150,057,181,425,432,194,072,193,413,733,286,974,730,177,217,966,314,
983,863,783,888,735,350,598,957,802,476,565,857,996,869,933,869,218,430,214,
591,797,204,333,687,118,539,924,551,344,387,133,335,339,674,393,753,577,476,
420,389,060,450,948,013,825,940,922,020,944,435,823,117,365,172,362,143,728,
100,289,051,819,950,223,930,557,435,468,324,188,835,967,272,463,295,423,646,
061,335,480,820,093,876,311,914,642,917,840,552,872,219,731,461,536,599,279,
135,910,163,001,518,079,781,233,044,506,848,344,199,958,221,973,228,408,094,
020,949,397,661,209,595,811,504,337,807,174,085,673,658,332,861,690,936,677,
605,211,496,313,870,771,462,677,053,231,909,409,659,035,362,666,424,562,129,
990,383,895,706,192,744,254,619,280,285,945,949,788,850,983,892,941,508,950,
094,204,866,594,379,145,953,278,290,725,153,565,404,527,329,978,220,291,666,
985,302,599,118,605,384,404,700,520,500,432,440,955,058,182,486,264,527,145,
845,600,555,173,325,356,410,527,436,835,271,996,755,548,282,890,197,788,754,
361,228,871,482,768,042,582,271,268,406,695,761,724,892,348,307,353,260,292,
603,561,579,541,894,402,249,735,366,339,636,897,756,074,238,881,469,791,740,
581,899,802,091,326,533,751,507,578,531,087,014,180,604,416,679,911,308,797,
842,428,567,395,283,360,182,477,798,635,440,106,097,941,004,020,648,620,108,
057,705,694,684,562,073,331,518,184,945,042,731,864,887,333,701,202,986,840,
598,063,799,937,199,215,007,212,947,945,145,272,097,225,844,983,279,082,869,
525,283,316,309,822,120,986,661,733,902,735,762,431,108,920,515,959,936,920,
331,914,504,404,816,851,081,661,109,386,898,837,938,612,143,738,982,896,861,
533,211,613,172,289,217,146,607,045,493,742,450,587,610,771,044,647,997,990,
719,006,111,636,247,615,743,434,318,137,314,109,167,267,558,160,350,773,841,
755,955,555,724,311,454,128,670,811,195,847,297,911,965,959,931,233,549,247,
071,610,000,053,576,435,655,975,136,857,000,308,475,311,910,778,239,912,282,
317,317,141,899,343,262,673,921,371,441,117,244,026,217,909,976,280,149,621,
675,066,740,314,795,851,834,030,155,563,731,721,081,170,979,994,037,599,049,
106,344,859,995,279,585,751,797,257,432,408,594,610,115,745,452,130,793,082,
597,189,246,073,386,019,997,620,375,440,110,231,205,205,054,935,618,119,515,
373,321,719,458,141,948,942,831,274,452,144,006,384,549,729,512,780,002,751,
500,293,953,914,240,492,860,615,564,074,758,044,206,864,661,656,435,856,058,
201,807,783,339,274,061,563,741,696,380,848,948,637,675,749,183,426,576,645,
422,106,876,915,339,606,936,036,017,979,058,424,287,039,728,333,484,991,402,
140,911,899,842,132,003,609,499,800,070,022,537,074,154,877,485,267,568,517,
196,016,410,525,695,741,923,463,712,137,924,226,830,484,499,590,349,529,715,
361,703,663,783,281,647,653,741,447,959,851,076,604,083,980,042,813,717,494,
682,194,912,965,732,170,616,642,026,903,814,217,120,860,270,957,121,204,234,
063,209,618,261,980,249,332,499,913,203,875,869,495,532,533,139,979,840,473,
596,790,314,948,327,843,907,519,402,426,962,346,015,985,126,461,740,227,579,
604,236,085,329,738,270,081,556,213,354,156,965,167,540,456,225,231,562,280,
020,324,748,818,049,823,425,485,985,748,432,695,284,607,244,606,448,641,483,
299,648,791,004,902,869,389,896,902,068,195,407,153,346,026,546,000,586,932,
959,261,977,425,815,712,940,539,797,564,463,660,922,178,177,713,644,715,245,
676,241,846,068,076,311,604,701,746,710,397,919,673,471,285,168,312,289,475,
025,119,718,191,910,910,860,764,545,825,958,030,455,694,359,131,792,093,381,
157,447,970,225,391,044,698,156,652,449,183,804,906,918,391,849,564,809,508,
527,181,453,138,188,869,992,436,993,623,692,994,750,925,878,171,760,506,639,
488,435,501,077,059,498,368,864,685,186,077,893,241,776,071,324,662,289,374,
353,211,947,205,097,647,976,565,705,196,881,476,131,365,383,366,171,677,681,
481,630,948,979,894,579,511,689,611,186,844,933,068,033,022,119,292,371,659,
552,746,852,143,598,117,967,008,537,824,859,107,278,705,084,129,302,987,517,
897,477,670,762,724,241,673,957,768,058,466,125,063,382,384,013,085,473,840,
633,493,093,314,501,392,914,117,444,482,144,590,963,979,350,788,741,856,308,
802,458,165,991,727,238,204,929,662,769,116,643,566,136,135,429,275,910,488,
039,339,801,940,129,966,223,632,200,922,041,017,739,275,844,884,648,277,291,
062,868,822,676,766,579,221,018,433,261,655,033,665,900,227,022,424,067,777,
012,319,767,761,625,066,782,214,946,375,329,398,559,576,763,742,272,678,625,
883,198,756,612,010,831,197,640,358,356,213,182,560,787,120,202,114,639,120,
862,682,320,374,581,248,522,973,118,593,921,759,473,062,990,405,330,337,929,
203,961,179,946,642,254,738,989,831,513,729,018,568,959,951,157,051,911,477,
275,565,822,400,965,348,234,542,746,325,319,363,178,030,901,466,318,240,759,
871,162,221,717,733,732,539,402,089,961,850,221,836,748,394,676,392,418,321,
906,556,845,325,441,993,256,314,525,561,729,912,660,142,742,041,245,601,963,
994,081,379,209,769,266,860,990,601,660,970,542,630,405,848,019,108,656,768,
438,720,980,249,540,940,238,084,954,195,063,243,498,273,968,102,178,025,371,
588,556,738,084,087,469,783,299,415,701,482,569,599,756,881,544,207,632,837,
171,487,857,277,864,781,264,252,150,427,852,371,988,536,939,346,108,557,324,
780,106,230,698,291,586,004,899,017,659,092,567,527,036,392,244,330,954,587,
907,292,949,883,039,846,661,490,351,709,232,347,769,046,708,082,220,008,867,
243,278,105,488,920,449,245,310,751,315,491,724,856,411,380,931,642,322,686,
890,564,706,107,088,859,643,201,052,733,279,028,737,659,839,208,365,453,604,
612,736,102,144,855,173,726,598,401,809,916,141,068,292,553,504,406,524,656,
932,270,328,798,248,800,590,404,988,437,719,072,373,115,075,605,360,450,294,
859,293,880,871,549,113,057,410,990,614,134,973,540,588,048,612,597,293,865,
262,854,247,377,397,055,098,248,872,227,986,734,624,040,695,264,792,825,446,
181,734,699,281,844,999,514,418,706,938,961,941,127,346,509,323,733,419,776,
159,440,299,816,740,856,291,094,083,861,978,921,097,426,385,570,280,049,335,
331,059,283,009,190,883,584,029,962,255,753,739,965,815,505,279,148,471,468,
673,126,666,729,592,605,460,816,044,950,441,603,774,062,371,970,887,651,200,
988,311,168,943,118,848,705,143,050,756,617,115,740,576,148,654,427,067,324,
224,755,777,237,790,442,495,850,776,832,119,993,926,954,307,149,084,012,494,
142,802,618,486,502,572,129,797,762,925,418,651,816,916,032,749,664,398,436,
771,417,808,348,101,656,180,443,395,399,228,326,778,434,867,610,533,814,638,
591,572,267,551,770,717,515,752,275,134,068,880,144,480,502,878,442,598,982,
269,448,933,211,977,588,122,647,780,929,034,757,475,179,749,381,861,774,606,
895,512,988,371,028,563,290,319,859,957,182,803,326,691,790,314,757,978,474,
520,852,540,887,727,614,825,583,458,124,236,060,082,882,881,743,035,739,746,
692,946,372,804,541,508,895,566,739,622,247,187,231,033,485,395,331,181,583,
907,934,784,434,749,615,497,677,834,276,710,531,769,999,472,152,871,819,293,
794,500,140,295,163,886,937,443,682,922,877,397,257,483,066,269,137,677,410,
565,976,111,842,228,545,983,512,787,121,794,698,716,643,692,011,948,802,688,
204,263,911,607,494,679,124,225,164,376,222,167,077,826,619,627,847,014,487,
265,070,826,799,506,632,603,532,972,652,619,177,049,072,052,004,691,035,812,
719,615,862,563,660,359,874,561,040,051,024,666,557,324,209,371,121,129,743,
584,395,210,713,778,954,787,578,767,311,334,566,021,974,261,312,362,270,647,
148,698,462,920,768,260,166,298,671,763,800,319,602,494,003,829,141,385,920,
463,126,082,343,541,746,067,816,451,236,958,876,511,916,355,596,428,421,112,
778,129,823,623,826,775,969,563,303,389,063,750,706,519,850,494,034,357,814,
837,527,708,875,558,330,556,647,785,322,581,507,756,462,499,962,441,733,316,
858,050,339,512,993,843,791,796,837,610,168,535,852,915,415,132,114,178,106,
927,147,688,593,878,287,786,689,188,089,978,159,968,758,006,996,821,469,057,
284,894,411,921,544,257,975,863,655,720,391,591,283,091,135,614,579,022,079,
891,364,481,381,432,650,322,875,566,161,069,975,499,735,395,677,788,049,836,
366,459,334,666,320,095,413,111,908,385,327,778,598,035,216,411,571,310,949,
581,877,337,365,921,193,389,480,800,457,323,684,497,528,105,298,261,526,053,
583,326,272,961,307,039,632,321,522,985,552,900,482,277,209,710,987,226,360,
253,031,283,434,233,496,478,065,205,391,064,517,815,005,299,453,768,113,665,
493,779,997,741,073,041,631,812,939,103,831,496,642,844,746,966,865,582,573,
950,225,119,817,483,335,218,301,230,861,114,650,406,728,060,719,554,157,990,
721,061,810,882,559,745,784,332,032,654,850,640,832,206,390,927,562,842,718,
674,911,391,978,244,742,112,735,635,501,395,065,382,971,658,274,313,327,683,
633,248,814,367,502,325,893,823,411,985,150,699,439,879,891,902,832,102,264,
502,651,614,269,954,356,816,954,833,224,178,760,286,568,859,189,278,427,867,
407,229,171,662,671,963,236,371,404,904,518,109,938,434,516,522,080,659,487,
539,558,915,176,066,445,381,934,599,254,654,957,143,851,947,923,518,194,239,
938,707,819,133,852,107,216,673,118,699,322,148,888,187,856,260,712,913,114,
651,788,112,087,656,688,527,885,347,017,657,593,503,562,266,776,553,469,307,
875,016,479,014,593,321,738,261,784,780,981,404,252,220,671,743,150,224,227,
559,122,395,133,269,254,894,227,755,288,834,971,138,809,001,942,032,443,582,
530,628,177,133,334,677,970,724,665,826,047,631,065,277,251,513,988,709,204,
882,166,638,176,634,733,087,260,479,061,695,357,486,315,530,623,207,459,866,
570,132,519,371,313,797,216,829,896,493,294,609,098,580,447,379,397,565,611,
244,222,696,831,848,082,945,285,967,149,757,751,149,064,188,976,333,683,998,
015,229,670,595,376,957,141,617,153,136,460,628,216,574,722,689,803,764,560,
707,123,192,572,465,863,711,966,214,906,989,315,601,087,898,038,384,730,958,
440,836,381,642,137,458,200,233,151,273,665,825,655,586,427,468,976,309,293,
556,519,876,960,253,154,584,937,987,090,954,240,267,590,749,345,389,229,948,
332,872,370,041,468,929,911,761,166,523,757,677,029,561,036,876,755,219,653,
385,346,444,277,190,468,763,618,844,447,997,754,720,769,727,017,021,556,334,
872,970,484,773,143,645,141,014,718,296,933,119,068,119,078,309,579,990,910,
107,552,976,657,249,022,693,945,216,140,941,510,854,009,135,395,406,702,988,
127,662,145,399,573,763,518,377,787,357,559,568,467,271,222,724,580,708,337,
052,289,459,738,991,839,957,208,264,411,070,214,571,713,601,899,880,327,057,
823,079,829,248,199,669,422,381,036,005,619,069,866,634,367,056,896,434,645,
063,762,256,831,695,822,706,166,014,848,275,331,597,099,264,011,403,033,895,
006,660,510,187,387,988,357,046,489,853,595,196,982,275,754,265,294,065,349,
747,827,397,360,492,447,103,440,457,353,406,313,149,808,490,084,997,899,588,
490,008,194,689,675,004,137,851,395,661,936,717,224,566,629,796,283,106,249,
523,428,389,465,674,550,303,143,825,577,854,625,146,969,186,299,036,927,407,
058,527,880,051,375,843,773,921,908,946,903,812,248,282,570,943,806,705,451,
399,287,337,597,320,626,552,554,152,993,763,093,913,691,552,734,235,573,890,
169,654,512,574,100,905,614,951,124,155,934,073,377,809,114,781,189,214,949,
598,681,838,922,670,830,181,842,936,798,066,287,416,506,215,878,875,365,689,
566,739,404,988,750,994,535,554,113,130,154,141,604,283,328,935,412,399,892,
798,908,845,117,448,902,008,347,727,754,559,707,139,034,093,072,815,874,482,
549,214,067,227,939,675,250,280,661,923,214,320,200,411,699,844,950,785,574,
240,795,840,147,208,578,373,055,460,628,356,176,531,884,976,118,528,645,668,
423,651,630,337,001,547,009,342,077,889,439,372,519,260,176,459,361,264,438,
935,555,918,973,786,478,189,839,269,860,290,123,474,839,517,598,160,650,877,
855,518,623,252,019,479,339,511,758,469,783,217,333,470,373,073,871,546,596,
642,190,613,453,166,979,694,634,284,408,267,136,095,465,420,358,057,501,004,
897,233,060,098,276,344,840,451,038,933,791,918,714,857,484,707,309,170,259,
643,075,061,319,227,565,288,121,333,291,130,124,082,601,584,656,084,210,594,
142,982,754,131,114,930,866,415,621,143,207,042,976,979,195,265,658,731,581,
212,660,550,397,921,145,192,440,493,918,023,955,706,656,358,787,201,747,217,
364,264,063,978,537,453,514,169,100,480,131,364,366,449,838,495,863,988,562,
184,076,924,290,127,842,756,778,409,019,078,502,109,616,180,993,465,193,546,
015,460,669,855,143,324,317,320,336,296,544,488,134,752,855,645,513,908,731,
748,731,962,828,053,037,784,983,274,896,318,548,312,562,234,731,824,764,465,
651,780,934,938,347,277,819,068,454,330,426,257,325,261,927,612,726,773,780,
719,721,480,924,430,313,332,219,122,567,565,191,217,853,363,037,428,269,882,
987,353,498,555,634,865,654,655,298,210,292,422,395,892,717,276,928,046,740,
993,015,542,868,055,886,491,853,549,293,971,362,868,209,712,030,387,172,469,
350,941,695,234,116,327,538,088,680,635,337,985,008,486,406,375,773,241,676,
702,069,227,239,355,831,329,885,844,584,289,592,865,737,259,809,057,647,368,
352,259,459,828,372,731,939,135,184,671,281,287,044,242,954,214,519,553,000,
715,286,259,926,391,667,381,028,877,200,614,855,070,424,810,911,903,693,324,
530,451,687,294,971,996,262,970,098,466,933,178,875,522,709,552,753,025,648,
876,366,981,422,262,581,076,260,714,564,798,131,002,231,548,199,512,642,035,
818,199,814,607,384,907,115,155,659,483,769,301,820,627,951,598,232,454,914,
558,828,703,693,812,823,500,782,091,810,316,556,391,071,488,237,957,667,787,
869,859,602,366,997,068,578,554,210,421,057,727,200,985,934,251,996,675,059,
934,967,475,070,305,176,844,099,733,102,570,661,812,553,355,882,310,787,486,
006,058,879,743,887,472,798,733,447,661,755,328,623,936,312,916,883,201,371,
412,920,922,771,448,273,460,445,223,140,840,824,581,634,919,262,852,622,888,
479,849,735,229,078,827,408,332,222,204,720,977,934,261,396,902,517,542,845,
837,422,314,601,002,458,338,065,472,652,615,198,309,404,437,785,289,633,104,
622,275,000,736,742,495,586,482,061,347,490,118,308,400,011,208,352,680,052,
111,330,928,720,616,524,356,629,444,873,723,355,357,461,592,323,423,961,658,
898,552,549,908,922,557,259,412,364,525,439,843,666,991,133,460,735,786,228,
570,689,452,161,935,228,310,423,436,023,567,523,091,421,295,528,349,539,600,
366,183,388,637,682,027,105,374,369,062,205,393,244,774,164,217,615,576,498,
000,204,160,689,972,406,358,819,453,838,853,825,264,027,076,573,919,151,885,
027,953,483,663,810,914,590,905,812,171,686,142,208,133,335,340,054,813,637,
437,634,174,021,608,491,234,293,158,443,579,029,354,571,211,441,529,859,461,
992,273,775,583,783,526,670,814,360,966,873,439,989,413,221,739,962,623,319,
383,164,274,551,222,481,647,583,676,930,347,884,972,613,604,266,679,815,024,
407,039,669,601,847,868,747,126,262,824,234,819,025,566,044,578,166,985,861,
129,952,102,091,551,660,763,678,407,974,453,296,298,814,360,754,200,109,175,
250,135,058,674,747,701,267,115,214,826,188,252,005,377,085,370,060,238,784,
949,807,756,646,690,472,221,271,938,576,902,474,628,464,725,401,943,243,853,
740,163,727,405,010,273,951,649,529,254,946,435,472,894,516,785,346,930,279,
485,498,483,309,279,641,240,155,415,632,113,695,978,952,058,165,053,649,647,
681,541,633,706,386,717,451,557,503,654,015,279,585,483,049,223,061,027,440,
134,780,153,066,818,271,078,378,076,938,748,851,167,923,031,235,505,300,164,
998,467,742,383,737,398,050,165,506,684,562,038,289,313,057,308,795,252,745,
385,180,413,322,098,248,746,930,575,866,026,943,053,209,593,329,190,718,264,
976,606,916,479,320,281,929,199,843,461,450,471,509,498,331,791,888,509,350,
399,845,052,749,855,166,068,268,925,257,278,234,427,427,934,988,137,964,035,
766,793,506,672,441,122,456,203,467,986,745,882,886,454,757,837,808,896,050,
336,462,080,898,397,559,641,034,048,333,588,615,057,364,506,309,147,168,517,
041,771,673,187,745,036,858,924,414,173,081,370,102,678,355,835,318,359,458,
734,443,148,467,536,956,378,297,940,636,759,516,831,446,847,963,865,459,734,
254,288,388,802,935,736,703,115,395,990,473,391,336,647,055,084,337,666,601,
638,487,964,368,177,797,201,292,709,357,790,764,075,409,779,447,582,823,656,
630,579,710,658,556,253,170,484,435,545,641,928,978,641,826,824,767,558,187,
625,455,006,991,187,639,473,400,220,315,772,348,282,767,704,037,057,914,772,
177,964,589,138,963,564,018,766,988,127,937,126,336,888,560,077,954,209,794,
497,634,534,616,987,200,288,499,356,977,839,208,472,482,641,266,182,770,432,
982,464,094,685,606,672,474,625,721,752,603,036,657,712,062,734,112,599,725,
289,668,500,241,618,442,456,067,183,409,392,181,226,282,747,526,588,770,358,
706,881,727,733,618,495,385,455,821,192,646,685,035,718,057,858,987,093,751,
968,394,102,468,937,810,782,716,575,917,631,301,254,357,077,367,859,352,496,
858,589,300,630,048,751,612,862,355,124,576,017,879,844,579,651,739,546,156,
758,386,025,575,119,944,879,745,900,818,830,333,801,222,759,778,657,813,940,
587,203,458,813,466,509,107,414,150,240,619,978,435,482,110,416,688,766,646,
829,091,083,195,088,673,871,613,071,274,643,855,979,495,110,654,189,223,091,
363,009,215,664,309,461,053,680,764,345,257,052,407,303,454,743,129,816,925,
565,706,674,619,328,746,631,202,680,636,481,455,419,842,114,781,884,236,835,
509,916,674,458,198,743,790,146,716,084,169,147,470,115,552,219,882,906,053,
304,393,226,364,582,219,679,601,018,048,560,314,708,063,103,526,403,885,660,
897,422,370,973,040,922,421,231,264,796,450,480,882,352,276,042,980,631,844,
724,145,215,985,026,534,807,909,687,865,956,603,884,871,599,992,186,043,793,
187,343,801,580,414,425,871,546,029,536,655,620,975,003,662,452,409,829,041,
999,084,340,322,066,454,582,076,828,291,631,585,134,166,918,699,201,466,689,
472,264,719,532,364,256,255,670,785,415,280,871,393,975,492,914,710,510,640,
785,507,105,008,552,302,347,149,016,588,517,793,764,662,911,072,020,514,376,
573,836,647,745,395,740,824,817,028,135,226,128,582,978,645,512,420,197,901,
692,808,127,682,896,004,434,180,155,450,846,236,106,310,399,899,673,036,005,
594,554,600,261,658,726,411,053,393,662,878,225,637,718,795,999,256,717,770,
812,153,321,585,349,992,307,854,402,673,813,643,074,067,730,575,126,304,519,
486,007,121,787,040,594,438,928,685,565,986,789,070,596,294,579,255,650,695,
540,156,799,139,557,422,230,483,343,412,672,322,485,511,572,135,848,179,082,
684,326,576,287,655,676,750,164,666,791,743,893,793,473,343,692,003,320,019,
079,024,523,998,824,724,334,754,685,837,602,692,523,209,819,947,241,472,928,
691,589,320,198,043,635,364,591,140,932,241,204,134,164,177,330,998,445,976,
636,901,778,311,412,979,258,719,803,799,057,986,396,027,844,854,335,929,819,
202,921,988,210,077,383,050,243,543,851,128,478,611,834,101,894,421,220,133,
519,276,324,898,558,238,787,576,282,497,044,628,834,216,492,783,445,491,658,
578,024,401,493,856,684,396,767,394,075,408,731,930,680,895,964,117,314,470,
988,297,107,895,386,390,622,350,423,618,100,279,251,620,735,228,614,421,072,
789,980,904,492,374,345,501,641,842,218,233,776,720,922,217,162,623,776,932,
977,727,290,820,839,970,280,356,271,765,326,109,998,708,108,644,740,174,436,
977,332,357,473,976,349,894,109,345,478,315,247,664,943,479,538,757,080,858,
859,941,073,359,674,011,082,592,019,419,694,501,032,032,664,695,399,819,556,
708,816,537,096,377,807,430,213,890,272,402,037,100,407,132,911,498,466,353,
556,266,821,075,754,240,302,154,167,350,665,842,380,393,349,456,944,390,758,
759,704,249,069,673,725,104,966,545,164,075,715,298,808,917,648,915,209,795,
998,515,787,252,555,570,937,475,643,313,180,237,712,947,533,360,974,975,101,
289,316,644,992,166,415,412,279,726,958,764,842,487,471,871,806,035,388,329,
445,093,464,174,463,326,646,864,670,395,150,181,038,641,430,829,235,124,536,
927,660,430,197,368,576,311,745,923,777,282,926,604,519,710,579,920,215,384,
788,773,497,734,310,805,091,282,892,603,253,674,798,615,074,000,823,196,013,
199,530,694,381,388,194,899,866,136,684,081,004,052,043,791,419,907,849,800,
968,245,637,559,452,826,696,871,479,395,349,294,408,416,529,103,697,058,135,
604,649,724,549,121,088,185,314,056,192,411,045,690,298,120,394,582,057,434,
934,442,162,789,239,159,822,055,132,926,917,042,428,156,779,474,116,319,716,
785,653,797,071,560,682,445,857,585,948,998,003,270,103,361,428,034,699,312,
655,007,617,793,766,441,312,438,550,830,967,868,116,341,859,370,930,000,731,
633,587,423,410,670,855,874,379,363,336,801,984,791,641,848,034,594,874,798,
277,697,301,304,698,620,525,882,222,059,772,694,613,449,116,767,724,133,920,
645,135,077,521,551,055,741,800,650,069,287,971,661,359,518,038,436,300,833,
704,153,402,394,916,942,904,498,446,965,002,272,350,411,922,587,120,112,627,
898,575,061,248,514,019,743,325,996,077,871,191,765,011,910,135,174,968,042,
185,550,627,268,167,541,663,850,292,917,993,778,054,981,009,587,692,082,817,
306,963,403,837,197,682,092,904,311,301,810,991,712,394,237,476,217,299,304,
656,454,764,722,281,993,375,464,665,000,918,149,390,686,179,140,640,847,356,
026,613,451,617,978,526,628,925,183,952,900,766,239,184,443,815,329,253,649,
869,779,757,295,093,595,457,525,517,715,724,548,256,450,971,206,867,542,349,
577,712,510,011,334,006,605,334,244,127,373,109,042,206,394,875,753,517,034,
043,619,484,882,988,872,430,093,164,664,340,337,550,004,509,197,179,743,531,
437,515,161,569,233,538,900,919,871,132,192,035,708,668,296,597,118,378,326,
339,633,292,746,218,490,563,214,016,472,189,116,445,419,310,163,975,198,341,
466,124,554,597,575,842,878,077,917,526,625,729,686,246,032,373,245,099,390,
202,238,948,780,049,793,307,098,604,907,932,120,386,609,086,303,364,557,702,
959,949,941,918,838,171,186,857,086,467,272,158,461,303,639,389,162,976,589,
026,859,535,220,882,950,712,695,332,446,589,910,933,465,628,990,674,795,201,
981,515,664,669,054,259,070,130,861,817,377,869,068,570,037,275,078,544,729,
712,574,448,736,076,148,864,958,754,575,873,147,138,786,762,584,119,072,770,
398,618,144,716,100,230,721,044,008,496,615,994,717,973,278,910,389,748,551,
317,217,952,201,618,685,761,183,336,148,379,924,734,786,178,783,740,956,679,
806,082,893,141,721,265,995,870,512,196,338,860,135,835,228,408,830,590,467,
378,867,601,159,585,497,434,079,091,692,680,527,788,778,592,853,587,560,660,
559,944,037,938,314,332,932,776,841,994,851,178,508,887,669,008,848,620,711,
219,314,174,804,575,845,397,179,126,612,857,508,867,636,478,558,084,023,577,
818,967,533,981,998,016,261,723,146,836,060,613,863,150,820,558,115,480,856,
793,628,109,622,020,360,775,109,275,782,298,637,856,264,344,466,551,508,764,
489,738,741,687,498,767,957,102,891,031,783,308,000,387,060,790,177,508,042,
308,873,052,071,878,652,980,882,027,581,924,221,987,395,314,850,810,610,508,
341,749,950,470,456,545,601,967,598,787,915,319,410,285,104,094,189,376,712,
509,120,316,626,962,302,067,975,940,657,753,394,868,083,270,082,211,027,272,
086,942,286,051,468,706,661,336,352,589,569,174,396,788,483,076,926,211,585,
370,998,330,604,874,479,806,225,494,815,211,730,923,280,346,113,553,399,990,
565,946,781,147,525,453,224,756,871,867,988,873,573,169,426,598,086,489,220,
527,181,872,854,493,698,150,656,466,395,339,823,837,542,576,172,834,252,302,
462,868,495,644,790,177,246,530,203,469,028,976,809,186,087,054,342,709,248,
935,125,883,053,308,562,351,839,049,227,101,352,567,779,955,108,356,994,488,
123,935,227,175,171,401,489,158,582,595,126,601,515,114,540,839,819,508,979,
422,440,861,682,802,140,254,652,798,776,421,888,428,690,185,629,608,806,113,
823,078,952,935,781,014,598,304,784,792,753,793,009,795,546,174,523,957,834,
996,413,179,860,328,799,116,316,833,358,259,527,177,066,648,990,261,369,115,
403,640,388,556,522,039,774,948,108,846,104,035,935,231,778,156,479,566,694,
037,550,924,460,217,484,508,720,683,466,430,024,586,659,817,807,633,684,941,
944,234,398,799,299,453,081,865,031,601,050,789,041,637,814,631,422,121,481,
484,478,842,010,711,157,339,297,514,236,507,763,755,214,263,911,985,517,275,
808,768,356,749,168,889,643,433,544,078,602,738,710,951,116,727,844,904,693,
377,551,173,622,241,540,388,667,437,220,590,429,159,906,968,333,954,193,442,
086,057,670,477,962,401,451,471,451,267,766,827,704,932,004,457,752,393,849,
047,314,019,153,918,043,674,633,529,689,515,937,196,814,698,368,970,097,954,
283,216,388,945,895,361,524,447,101,393,201,304,212,719,820,305,073,118,007,
683,167,823,837,828,325,320,206,092,690,835,321,203,392,680,406,715,259,275,
649,519,357,175,106,226,354,731,906,023,602,106,339,716,641,537,485,743,877,
428,945,717,464,509,432,998,444,759,137,929,843,182,254,662,644,462,260,439,
979,620,814,596,592,720,305,192,207,359,857,964,235,964,768,524,954,404,241,
803,846,710,505,022,460,432,240,180,429,622,845,430,012,988,677,303,868,352,
550,064,238,941,290,858,661,579,331,424,507,123,590,362,489,221,928,319,548,
179,569,857,544,458,748,826,556,956,658,108,501,339,640,942,664,728,536,427,
327,474,673,859,685,221,888,903,367,837,842,752,287,249,861,701,989,766,295,
461,808,278,569,871,055,991,232,339,129,330,084,582,268,541,592,421,451,752,
980,845,090,654,510,546,204,211,291,706,596,999,431,196,418,130,936,570,876,
760,853,248,326,535,651,321,975,740,038,124,867,922,977,412,746,242,146,060,
742,365,154,348,833,459,285,950,194,192,481,365,305,884,691,000,893,895,427,
578,019,394,099,295,251,152,846,574,818,191,753,391,746,394,994,559,992,032,
357,914,508,443,133,684,431,199,168,660,322,231,298,124,965,380,666,501,611,
243,728,236,060,553,843,055,864,042,616,859,374,551,330,275,969,817,634,386,
848,999,592,547,835,332,880,443,746,354,499,262,526,206,904,931,487,142,995,
485,738,203,071,451,446,408,439,753,839,008,553,428,464,705,731,330,399,428,
159,053,195,380,166,248,900,911,181,940,365,182,120,729,777,229,934,419,902,
961,717,470,458,756,181,498,688,431,939,495,380,009,504,723,390,053,773,328,
288,087,922,779,227,279,553,892,564,546,158,002,585,619,980,395,770,439,689,
406,542,434,241,819,951,855,537,397,921,831,469,974,352,642,143,037,828,606,
390,032,311,223,499,748,057,507,251,341,319,218,879,379,627,025,670,492,367,
467,804,984,527,174,541,378,867,217,134,452,800,842,409,999,648,569,665,620,
806,856,051,988,622,641,780,047,479,183,005,031,599,420,124,005,987,478,672,
323,776,687,628,790,100,336,153,622,136,453,823,707,478,214,366,178,029,291,
535,386,875,863,402,393,006,804,067,486,787,064,931,413,578,964,816,504,915,
169,561,400,804,847,879,454,874,436,235,441,902,637,042,831,575,394,805,655,
035,562,310,234,771,325,038,272,637,112,187,739,080,613,547,652,978,919,234,
495,361,924,378,550,008,122,977,840,185,320,777,662,078,054,103,682,692,956,
717,452,148,258,401,179,353,416,275,539,865,592,513,645,448,388,316,483,215,
945,051,766,118,308,888,903,398,341,539,943,816,550,464,155,167,072,204,811,
379,693,004,791,884,767,867,539,008,494,868,168,787,910,605,800,739,996,112,
338,793,661,364,864,827,091,324,074,695,947,952,834,038,689,616,927,322,121,
904,918,162,517,181,305,655,686,457,466,765,084,947,182,483,394,544,208,547,
235,200,772,589,950,459,079,979,515,820,344,092,120,786,803,345,313,615,283,
687,184,155,853,433,623,664,436,203,144,437,614,780,143,642,921,177,278,814,
622,384,790,341,001,895,354,421,720,067,453,177,266,090,229,317,133,090,851,
783,472,441,038,215,103,843,113,132,714,585,486,093,084,931,516,891,564,075,
334,129,404,725,674,451,648,779,391,871,094,257,633,385,870,803,680,228,035,
924,220,820,448,788,912,684,748,354,648,640,948,266,813,064,895,017,730,631,
498,158,141,788,380,583,014,570,217,928,305,147,832,362,937,822,949,540,287,
927,988,205,818,068,312,859,868,790,869,517,529,661,025,796,891,228,690,817,
414,365,733,557,897,759,614,566,596,623,514,844,142,203,063,256,551,327,474,
602,498,847,703,156,810,576,764,792,986,468,993,438,767,493,298,091,388,674,
105,945,772,511,930,259,698,656,479,504,162,550,823,580,154,717,152,916,466,
872,812,471,752,625,075,861,298,821,180,572,422,540,184,085,182,325,422,258,
159,841,849,225,754,278,040,147,915,711,597,379,246,980,427,400,064,485,628,
877,272,815,134,957,375,813,330,327,382,930,319,830,549,835,806,464,920,023,
952,208,787,457,901,473,274,499,387,147,682,905,305,537,497,269,467,068,997,
351,561,905,462,938,240,424,876,267,682,966,577,235,544,450,043,039,083,885,
047,074,030,014,732,545,780,832,411,703,847,296,402,223,345,597,174,859,799,
086,161,770,352,779,683,075,441,011,864,345,570,901,999,325,075,276,787,119,
717,992,304,701,715,339,625,649,006,934,063,209,261,299,760,844,433,134,331,
334,948,886,670,767,927,562,004,763,462,565,196,120,039,588,003,837,118,455,
899,111,839,738,019,262,416,069,005,571,936,853,539,436,307,182,402,384,371,
653,678,339,991,041,706,150,643,192,531,123,038,741,849,031,176,495,155,266,
754,342,258,385,753,211,830,895,092,070,432,023,589,738,647,088,536,437,348,
150,329,499,175,459,474,835,180,545,080,325,597,437,035,780,632,043,416,108,
716,021,796,369,483,687,630,882,481,017,586,682,463,190,196,133,476,771,964,
124,763,298,454,104,640,136,765,290,364,225,818,488,102,846,273,921,306,220,
000,828,501,003,704,239,751,102,779,658,494,457,279,370,756,460,271,679,926,
866,185,977,187,443,146,160,790,426,914,676,001,519,380,612,050,521,356,063,
691,074,847,978,547,248,691,669,796,459,031,859,697,162,015,699,156,590,376,
803,405,728,470,706,315,315,160,591,236,308,354,452,453,495,076,979,189,544,
018,315,446,473,818,396,753,935,088,578,338,408,363,532,095,561,817,929,402,
474,756,137,727,809,761,839,066,725,219,989,651,914,565,972,568,048,141,739,
533,533,041,868,919,400,459,957,449,004,889,597,713,296,277,227,792,292,188,
835,142,425,539,686,424,608,810,578,343,163,931,054,750,562,081,923,537,440,
682,225,656,194,746,950,642,088,688,949,803,459,600,645,348,137,746,716,325,
568,711,063,008,887,149,661,076,582,690,902,451,433,776,752,131,206,305,518,
525,847,768,267,183,797,845,432,706,324,282,820,007,473,715,705,205,636,255,
124,268,913,960,791,234,723,706,479,044,060,872,034,045,994,318,897,629,246,
421,473,802,599,569,235,081,619,886,109,811,820,372,157,451,283,205,131,802,
654,747,569,220,044,347,439,472,280,084,947,328,076,482,625,928,272,529,655,
448,442,291,117,865,468,946,997,980,383,889,404,389,575,227,705,541,185,223,
864,276,125,542,051,840,124,733,690,346,588,928,123,219,834,099,278,871,161,
574,275,031,311,436,679,275,186,084,389,894,485,174,892,196,495,723,021,175,
437,810,347,510,756,722,552,335,511,626,645,939,515,837,988,250,446,421,866,
630,866,211,718,762,611,442,168,567,446,727,277,578,466,133,894,889,782,394,
544,996,418,526,868,940,094,957,831,581,319,144,456,088,579,487,544,912,924,
466,348,535,318,516,898,937,155,123,383,230,974,237,455,001,335,291,806,513,
665,916,753,107,306,672,230,385,577,622,422,719,130,909,900,524,857,955,224,
819,892,991,492,303,255,224,430,577,115,876,985,999,937,752,700,172,998,338,
306,377,681,400,632,835,035,817,424,776,216,763,836,699,279,425,080,519,254,
380,431,364,430,854,769,457,230,742,740,828,509,488,111,667,370,955,637,360,
254,976,602,172,787,979,238,732,661,331,079,921,333,385,132,288,545,955,340,
392,097,403,247,152,207,235,006,928,075,839,368,448,801,428,906,591,790,332,
998,107,164,971,784,875,760,252,336,392,506,394,112,927,156,170,012,326,110,
664,691,680,081,937,221,615,096,097,497,182,432,267,926,092,683,993,134,526,
591,965,151,262,494,177,012,103,773,066,595,088,598,250,764,168,915,398,391,
105,988,505,761,093,384,928,546,315,077,054,141,961,765,940,456,581,491,823,
627,636,524,216,209,277,245,790,670,151,643,335,318,444,045,694,877,071,514,
055,206,256,398,165,801,248,104,652,835,641,754,944,146,905,046,819,359,458,
293,464,197,195,023,233,140,300,398,477,353,719,596,246,524,267,160,888,061,
558,278,562,595,036,538,603,461,995,063,394,341,461,188,986,433,925,767,061,
064,446,178,198,543,490,011,207,730,604,287,493,493,288,897,405,424,204,661,
399,662,301,933,847,012,081,729,457,697,682,935,769,852,958,557,584,223,423,
108,495,073,110,806,327,527,059,070,214,727,417,420,579,033,957,451,879,706,
625,869,654,792,417,478,696,497,230,255,559,528,533,247,097,745,839,419,876,
522,615,003,604,462,357,533,243,110,980,818,609,097,897,186,119,641,998,547,
968,745,078,326,634,714,553,394,645,710,073,376,204,797,639,226,474,475,302,
953,222,023,596,382,219,413,730,380,686,874,341,132,083,745,891,101,223,115,
702,918,639,082,862,107,278,810,518,811,246,251,907,633,260,414,551,430,656,
982,120,372,170,320,768,296,767,865,678,390,075,021,143,130,074,479,864,585,
635,370,280,669,867,838,671,863,545,225,769,312,641,657,549,930,614,059,215,
174,463,725,683,336,526,935,854,196,444,474,271,270,862,604,298,960,369,606,
829,969,754,214,702,080,233,960,899,107,386,633,481,897,844,162,436,553,417,
845,923,960,910,176,109,679,699,787,367,870,006,293,699,203,672,258,749,134,
538,736,902,858,960,428,416,656,131,990,922,822,488,544,028,675,795,895,869,
125,845,566,762,017,940,024,146,259,735,420,708,212,869,842,502,799,628,638,
143,786,704,171,266,580,108,793,168,443,704,271,973,012,743,109,055,363,909,
844,958,938,158,681,673,600,613,831,115,829,066,628,889,090,153,072,890,616,
045,147,995,452,515,015,660,038,816,408,885,515,720,155,727,936,924,125,453,
643,823,199,628,242,696,825,847,908,796,382,241,208,661,120,795,122,393,214,
992,506,687,063,735,465,208,339,207,878,799,848,553,630,816,385,842,069,484,
653,491,281,493,663,839,769,124,753,437,250,390,336,878,282,505,019,278,313,
624,501,935,389,486,731,476,505,777,814,832,392,008,217,417,360,838,165,820,
040,601,496,093,242,639,441,059,180,848,210,898,040,329,060,098,452,665,719,
003,284,402,670,694,482,203,822,265,591,319,143,045,031,323,327,839,944,960,
998,985,186,096,133,655,458,960,210,488,963,194,353,951,346,008,324,955,851,
446,521,923,622,553,141,672,017,496,037,416,787,947,782,602,031,787,242,597,
795,936,582,021,513,894,471,524,815,383,570,203,843,786,136,331,062,282,766,
877,745,995,279,052,983,361,069,312,945,941,560,911,518,934,379,099,247,493,
001,123,566,927,342,002,520,571,908,512,086,346,462,464,113,289,295,685,757,
819,322,459,631,154,328,199,669,424,945,371,346,670,706,214,206,923,724,714,
685,700,072,248,056,554,641,948,743,224,579,871,498,254,013,656,900,894,021,
960,952,388,971,264,355,969,711,057,602,766,491,668,967,652,244,123,042,621,
428,985,616,280,025,846,667,502,285,550,925,751,183,856,927,481,558,483,126,
555,433,681,449,581,152,753,018,760,344,916,925,509,702,939,843,010,159,047,
618,823,114,829,501,678,921,239,088,036,223,047,866,329,434,421,627,703,312,
042,065,556,447,958,159,832,138,501,400,649,721,400,429,986,260,812,164,428,
718,211,955,004,191,418,690,613,874,228,179,920,547,081,373,487,823,520,306,
075,829,969,621,009,167,164,367,900,396,431,181,366,515,020,550,202,320,316,
955,232,197,906,480,193,066,853,376,719,470,393,998,243,192,383,397,140,203,
875,810,654,281,279,679,311,026,595,756,728,956,129,332,841,065,739,568,366,
109,791,891,174,226,117,248,022,769,312,263,334,832,582,517,572,900,266,699,
930,406,258,187,875,468,700,840,537,575,379,504,543,610,699,430,788,232,454,
882,044,550,327,689,131,531,162,093,439,870,264,760,590,932,808,457,691,858,
478,198,796,845,574,458,621,845,126,767,032,881,074,518,030,630,269,810,958,
338,698,993,821,606,699,861,011,901,274,965,784,494,216,337,363,656,140,968,
098,669,903,273,977,114,945,549,948,360,885,892,401,534,295,219,675,654,922,
149,480,795,161,563,402,541,407,725,772,330,804,121,914,062,391,450,349,425,
770,675,110,714,852,732,391,424,986,740,077,381,872,051,421,492,237,372,119,
749,921,381,786,104,119,632,062,292,250,419,381,338,768,602,376,226,092,045,
190,070,979,620,657,114,558,971,382,834,654,744,046,984,737,015,305,513,632,
912,388,604,160,109,843,406,263,775,971,290,514,384,401,941,004,742,801,752,
969,923,776,779,440,387,693,167,238,526,203,046,054,743,323,031,470,171,896,
648,291,223,186,717,204,494,258,564,525,217,855,933,101,314,141,400,498,118,
213,316,405,508,134,273,266,382,137,636,162,944,788,451,760,461,339,379,410,
320,796,682,950,187,953,518,972,923,482,150,198,704,703,538,984,026,173,039,
348,081,239,471,404,095,139,253,640,138,914,422,984,310,926,870,767,141,943,
156,956,159,568,429,793,469,438,671,319,534,487,677,436,771,962,628,117,503,
711,926,239,840,429,145,419,006,100,371,166,956,660,735,332,008,392,320,776,
339,099,684,197,085,922,870,223,323,747,648,505,090,250,709,970,392,945,770,
760,065,510,972,494,291,303,034,533,215,547,078,033,531,392,609,077,788,894,
373,978,931,281,653,246,518,108,720,353,927,366,204,212,850,466,112,064,283,
330,381,237,087,991,823,708,384,260,368,892,855,882,715,673,207,604,761,911,
717,039,679,946,159,470,817,975,212,243,729,760,997,856,109,492,469,295,694,
143,582,806,809,621,800,822,144,753,271,702,940,576,560,841,868,586,623,484,
404,994,230,820,755,057,863,297,168,277,331,736,229,256,912,466,719,253,394,
499,811,735,632,197,275,480,293,623,183,803,093,027,801,554,159,572,241,597,
679,574,517,237,462,965,239,099,445,223,031,331,335,211,777,338,764,471,488,
741,328,575,686,617,829,555,176,073,152,982,603,412,021,934,697,694,834,140,
969,678,315,678,321,661,280,819,466,309,022,282,738,155,150,808,412,957,793,
459,170,868,390,980,048,270,750,275,777,312,385,224,275,638,757,482,405,880,
086,148,634,789,259,399,191,150,593,451,655,088,609,092,564,082,821,088,434,
205,638,014,812,578,379,635,706,959,226,697,914,711,917,615,331,770,908,722,
181,015,673,747,739,964,945,434,282,648,541,958,308,134,227,092,455,833,077,
495,749,418,049,085,650,484,957,432,939,376,302,584,313,885,534,548,447,697,
616,414,330,641,103,341,128,171,108,920,520,296,716,581,300,351,889,944,599,
506,795,744,066,798,550,845,690,488,206,837,765,901,130,863,235,086,557,227,
651,389,803,273,725,379,181,332,038,372,333,661,561,613,538,766,088,889,967,
217,245,918,793,055,470,857,792,101,626,891,614,393,787,477,273,972,128,151,
259,827,963,798,886,946,410,336,682,198,905,871,482,449,202,601,299,290,571,
836,350,322,601,841,797,438,926,790,453,095,137,378,715,147,015,678,279,311,
388,357,145,404,035,851,685,402,631,315,267,522,735,112,963,045,650,400,196,
099,366,331,075,863,792,075,765,575,457,870,940,820,964,616,647,280,646,524,
782,300,208,652,949,565,310,291,539,519,634,343,202,795,511,543,014,282,718,
962,216,559,005,033,576,213,977,695,872,336,233,571,875,357,606,617,869,893,
428,032,025,066,285,593,238,323,292,588,737,217,316,752,681,004,604,716,535,
241,162,789,498,917,806,629,720,266,339,010,213,143,552,459,447,049,630,834,
391,937,744,674,792,701,639,230,275,775,178,867,276,912,424,746,657,267,519,
436,645,463,766,410,312,748,898,413,497,874,467,019,595,564,028,168,316,922,
977,633,532,125,226,189,187,739,259,645,436,155,831,307,354,936,301,281,549,
736,378,159,858,992,097,444,088,711,768,211,251,242,786,687,043,662,620,974,
099,759,217,212,362,580,300,152,951,157,112,159,625,613,773,468,168,938,065,
062,143,868,800,410,001,253,761,774,291,242,086,932,943,437,710,966,861,687,
672,678,942,769,375,483,609,980,487,908,991,316,450,623,225,498,449,130,960,
748,751,102,593,435,561,391,704,272,437,038,458,512,004,588,102,807,879,407,
604,487,862,825,426,568,154,314,578,973,605,622,008,935,316,129,503,075,754,
172,101,444,660,011,112,582,428,266,193,102,078,314,103,207,269,416,694,609,
777,711,325,184,790,189,297,170,246,440,418,666,255,610,788,317,697,708,625,
834,884,183,116,219,085,454,929,127,560,871,755,787,401,886,808,255,305,794,
408,781,025,175,156,541,847,216,140,320,579,637,634,228,367,437,522,095,149,
021,993,287,824,353,933,748,438,482,683,781,336,831,315,604,894,190,430,792,
652,192,972,770,384,945,315,150,224,897,136,102,158,373,761,684,127,022,563,
958,141,159,065,769,861,310,037,810,603,682,384,043,836,673,436,775,315,019,
733,150,403,439,199,411,896,631,805,338,396,792,551,692,296,042,500,094,487,
976,012,478,442,273,809,788,017,714,773,759,262,115,733,025,172,441,418,351,
920,523,424,261,039,754,157,005,017,186,142,354,884,194,512,248,744,424,403,
563,991,453,817,130,885,868,139,155,516,298,103,937,077,274,594,372,769,284,
784,679,397,903,936,226,731,060,541,981,597,695,610,333,777,798,797,473,010,
855,101,228,076,910,982,560,170,909,251,363,340,921,035,292,472,144,425,481,
117,120,085,026,229,316,721,743,655,068,042,030,491,923,505,668,576,170,233,
694,899,728,065,464,328,102,708,200,921,055,781,907,280,713,095,856,833,084,
708,894,677,943,302,961,396,324,068,234,780,985,973,908,446,285,861,329,386,
106,327,132,485,873,960,366,083,493,119,984,422,496,688,395,405,092,506,005,
680,277,237,350,347,017,984,941,982,808,758,292,154,244,484,343,784,999,431,
319,263,415,395,533,120,266,592,121,006,266,982,910,074,624,673,496,779,138,
646,767,390,297,096,294,839,619,584,043,525,526,959,020,583,279,937,369,988,
327,513,336,546,877,757,097,543,799,772,088,945,106,658,606,887,642,131,966,
493,149,498,176,554,780,722,265,046,130,797,007,404,615,654,755,169,091,197,
163,985,684,713,640,337,884,161,721,008,985,793,787,586,368,097,330,809,886,
768,605,122,661,849,253,259,727,814,474,988,129,797,448,723,315,488,197,785,
636,619,548,741,881,823,735,946,026,809,393,683,878,714,648,994,471,476,391,
803,007,977,914,196,196,079,184,799,466,953,455,147,550,037,713,108,532,570,
976,292,036,103,805,295,501,936,203,562,321,707,050,587,264,671,014,211,065,
109,134,780,928,441,011,553,291,592,314,580,830,134,067,592,842,693,054,528,
797,745,524,475,698,822,628,849,752,959,952,518,556,289,911,224,170,989,964,
550,341,853,331,867,533,516,466,419,491,739,044,229,339,694,814,212,239,039,
273,644,314,253,031,788,830,980,270,897,718,352,540,494,975,552,209,046,768,
682,229,509,116,450,926,814,464,990,815,143,904,248,165,673,351,758,211,122,
350,359,500,121,475,324,150,471,072,692,206,518,524,756,056,815,524,954,977,
104,013,111,375,506,467,363,793,184,360,959,418,729,678,481,944,538,050,956,
945,789,975,791,241,584,902,995,612,053,027,772,096,428,038,837,109,847,322,
701,544,007,090,816,948,399,218,464,908,714,842,321,292,298,015,852,191,732,
380,621,853,151,842,057,645,777,446,187,882,613,666,554,313,190,604,883,098,
000,753,357,480,723,560,110,423,226,829,523,261,112,392,406,631,238,986,925,
246,392,558,798,630,822,733,824,854,030,920,878,302,192,470,545,857,848,512,
431,295,080,011,195,973,352,066,601,230,171,323,769,358,356,667,601,193,163,
370,425,508,875,312,532,524,769,684,628,054,310,373,799,259,452,747,727,953,
466,702,417,476,200,560,551,171,030,467,121,243,471,845,983,534,480,753,278,
637,814,189,828,197,431,766,272,516,885,481,880,845,210,689,313,711,880,718,
573,539,938,759,540,661,901,315,034,905,306,031,279,233,652,895,224,849,275,
623,828,984,591,432,902,808,709,138,401,806,558,894,968,283,667,562,389,177,
189,448,223,894,762,771,543,766,699,996,782,655,379,802,024,899,446,039,906,
673,821,102,184,460,888,335,373,617,365,901,439,671,394,383,249,617,941,829,
438,531,561,491,017,418,944,116,752,003,346,420,605,143,714,578,395,155,544,
166,201,715,905,875,598,076,989,959,053,442,221,376,426,198,267,203,009,854,
041,010,282,519,287,831,704,257,579,184,294,486,753,924,410,223,488,647,792,
239,419,955,225,735,539,413,104,525,951,431,788,035,326,548,115,269,788,061,
689,547,555,546,958,730,036,714,249,064,960,387,085,499,759,212,790,012,771,
404,678,354,860,946,792,427,277,386,265,631,082,788,848,351,008,829,442,860,
999,517,763,675,675,534,542,075,278,266,452,664,254,325,504,846,060,297,513,
564,878,719,503,757,614,167,648,637,233,207,402,061,586,619,261,672,481,864,
551,787,210,660,499,260,858,707,571,348,391,315,657,633,618,028,699,896,139,
838,622,888,181,498,724,135,041,008,782,539,359,776,551,239,509,604,116,288,
072,712,701,160,640,011,915,704,896,285,841,020,969,541,722,028,012,871,306,
848,213,401,730,471,878,086,226,017,213,111,490,356,307,649,538,014,165,840,
783,155,762,053,032,536,133,247,649,510,898,765,836,961,536,624,153,415,265,
729,618,292,732,808,696,342,544,652,535,819,029,644,289,241,214,151,927,394,
045,431,632,421,755,336,597,761,296,239,580,335,874,642,785,271,421,432,014,
597,688,491,852,117,839,974,013,100,741,399,444,898,474,604,536,150,611,988,
866,633,486,806,237,155,986,600,982,637,132,605,427,681,614,926,853,521,372,
599,898,563,722,076,082,025,211,984,717,021,047,478,453,050,037,319,924,399,
744,136,951,433,205,532,243,474,768,274,621,992,834,209,331,424,671,360,656,
769,565,904,610,757,224,564,470,970,548,799,119,155,487,999,572,143,621,391,
275,894,520,343,590,325,873,005,542,670,546,749,441,844,798,795,927,955,499,
752,316,073,219,798,793,458,172,505,430,151,843,489,295,878,591,441,790,703,
490,157,605,517,191,280,316,559,689,856,995,320,020,708,974,978,488,733,056,
812,389,481,604,388,856,281,027,497,156,379,392,099,937,998,671,958,868,807,
930,926,687,685,924,729,435,951,006,038,705,280,256,354,690,989,295,861,012,
491,710,255,381,887,345,554,135,197,735,097,619,814,251,601,722,544,560,898,
720,773,484,130,741,779,967,207,404,288,351,493,182,962,891,518,532,305,650,
499,602,605,111,676,461,408,313,061,693,411,322,338,359,716,640,570,443,646,
277,505,851,485,442,221,777,493,107,752,514,564,761,688,656,507,117,204,065,
096,401,907,930,352,497,849,508,347,571,566,286,826,157,621,974,737,197,189,
300,651,895,365,420,857,556,909,447,323,940,600,176,271,835,930,815,861,470,
542,388,539,381,146,554,405,469,933,663,027,995,590,054,300,282,646,365,641,
041,173,522,712,537,737,526,515,242,997,234,759,613,244,479,707,247,852,227,
694,471,222,733,062,491,171,594,836,690,324,842,635,035,257,891,547,441,249,
155,361,576,336,344,730,286,183,602,950,675,993,181,498,397,465,034,330,984,
152,662,176,360,698,965,827,185,079,418,774,909,138,324,869,822,536,819,362,
843,586,764,817,981,713,946,553,585,569,892,298,442,611,337,025,624,482,550,
546,327,387,048,468,790,120,419,213,859,342,458,520,515,264,074,114,831,893,
629,698,678,603,518,785,154,454,772,172,825,283,328,346,014,821,808,526,317,
551,246,146,822,349,788,928,908,808,792,043,783,859,885,588,334,568,810,564,
510,876,043,010,467,665,756,922,170,910,189,348,777,222,689,910,989,679,811,
074,665,266,049,726,898,427,718,613,109,301,063,827,794,672,640,793,890,504,
184,669,903,947,316,356,624,096,413,533,741,362,180,399,191,978,744,895,012,
730,111,135,119,764,373,456,177,472,962,626,722,119,308,906,095,964,541,603,
386,764,560,513,886,953,572,842,910,394,958,744,852,440,455,721,484,871,951,
719,046,633,318,558,414,856,963,764,746,161,254,024,745,573,408,657,973,870,
540,766,113,419,804,840,218,986,190,587,154,632,079,784,067,228,239,848,939,
171,866,950,171,317,495,370,823,593,452,441,468,838,970,924,697,442,691,250,
179,325,229,062,204,740,896,243,029,869,124,416,974,713,743,706,838,062,160,
082,450,331,413,897,644,628,372,616,612,995,255,868,553,533,542,951,356,129,
417,139,601,987,950,475,364,159,807,176,208,426,128,472,820,140,932,228,075,
956,604,068,969,847,468,562,822,538,309,670,665,094,676,015,894,838,075,488,
436,463,551,427,915,760,293,648,026,576,200,262,125,206,988,500,808,529,748,
545,469,586,368,904,088,546,366,260,532,013,185,912,022,834,951,140,887,684,
979,630,041,346,762,711,115,213,182,289,301,870,315,771,051,280,094,952,275,
666,645,909,478,520,233,622,066,465,868,938,050,979,450,697,280,026,414,419,
291,200,178,585,996,202,019,737,356,832,977,885,491,044,754,161,556,799,617,
427,084,877,194,752,016,180,940,392,160,124,762,961,765,329,411,979,482,891,
956,303,744,544,233,624,703,270,504,429,645,997,798,478,681,674,509,873,920,
114,396,708,705,025,421,889,822,098,744,336,741,632,096,586,639,635,802,370,
498,757,152,780,041,651,864,990,168,105,440,545,412,701,209,981,491,581,828,
981,150,970,076,549,314,237,896,046,675,399,109,897,144,854,755,526,067,128,
110,235,673,024,267,441,959,145,597,648,998,581,789,537,393,990,491,594,360,
164,705,449,014,378,015,799,802,568,680,155,174,507,382,914,900,809,673,118,
165,052,059,718,367,685,418,260,333,368,160,057,623,608,389,877,626,755,891,
617,759,703,425,567,958,880,373,445,306,238,752,743,733,747,838,644,518,972,
447,787,212,758,499,421,723,879,727,046,708,285,177,134,127,445,913,363,722,
997,339,099,724,846,348,147,574,324,107,960,357,215,102,681,521,077,562,512,
347,243,481,617,440,471,536,668,879,270,663,646,781,822,416,489,961,111,732,
533,087,444,765,733,288,246,481,189,953,405,865,326,287,125,224,516,308,997,
553,468,089,248,909,593,955,894,107,331,837,737,991,900,039,265,504,917,399,
790,801,824,510,952,360,258,442,744,135,871,947,639,791,297,407,325,354,192,
842,300,096,313,391,995,065,765,583,363,072,671,038,856,987,617,548,302,755,
599,353,221,415,335,972,813,292,609,179,948,199,665,985,436,780,469,586,766,
705,653,683,343,126,766,636,999,177,442,155,172,534,203,567,586,059,465,427,
697,321,997,007,761,061,558,244,462,145,621,432,132,752,368,838,868,101,844,
074,481,401,412,818,159,449,417,119,889,272,249,103,820,344,172,218,296,169,
872,459,604,720,783,772,047,121,649,749,321,221,439,877,648,058,975,961,968,
035,322,742,461,731,233,599,844,655,360,403,125,997,807,940,401,624,528,792,
369,290,199,339,211,435,376,817,217,983,197,326,855,826,152,562,231,124,838,
309,005,547,247,808,130,074,203,886,464,484,100,662,782,000,236,001,779,786,
027,349,576,375,119,455,381,018,848,624,808,824,187,386,616,862,251,339,133,
077,755,783,588,204,572,943,174,566,353,626,679,053,836,580,126,884,270,320,
717,048,804,215,928,814,585,780,179,222,129,384,070,008,578,866,938,952,706,
878,340,820,119,879,731,052,424,731,622,746,820,313,966,249,786,346,655,958,
946,247,047,948,850,440,324,903,858,593,543,556,942,084,386,814,229,168,547,
386,959,867,231,106,598,948,159,103,849,943,479,087,054,923,521,490,652,987,
355,895,431,434,225,021,154,728,302,595,847,672,320,040,855,558,440,478,194,
152,160,894,766,822,439,387,581,499,877,175,786,284,303,637,017,321,522,619,
230,344,122,293,981,576,502,097,288,670,730,215,351,202,042,304,210,894,042,
389,708,300,300,199,193,638,514,486,038,215,967,290,225,827,571,699,229,464,
944,826,151,107,786,764,544,477,780,669,954,524,139,095,594,299,045,757,113,
308,948,805,869,340,164,833,697,712,307,930,131,200,686,750,532,233,794,487,
707,112,795,125,376,381,751,704,521,294,824,043,398,932,672,226,924,365,435,
402,791,607,587,560,353,865,727,750,289,808,779,451,970,472,815,423,788,770,
109,227,222,009,165,698,332,540,986,356,863,667,647,504,813,950,379,526,402,
914,555,883,128,103,861,145,079,464,940,237,203,766,392,160,732,875,754,732,
472,711,251,905,856,397,860,344,648,384,214,175,563,620,875,592,097,154,153,
821,196,909,791,585,457,358,542,056,802,476,274,854,802,025,480,684,192,981,
682,459,526,059,257,193,712,147,422,022,578,790,667,662,335,304,298,069,288,
325,345,648,906,718,092,339,200,449,421,062,011,862,519,021,951,216,271,965,
159,578,462,937,511,504,991,584,762,904,939,478,161,713,149,803,989,225,333,
430,430,818,503,870,563,856,397,936,531,232,354,410,951,736,858,506,751,734,
453,375,554,826,329,636,981,640,757,274,093,310,932,579,590,610,008,709,399,
710,126,109,903,306,740,189,832,975,928,010,621,529,101,049,088,527,540,493,
644,079,857,027,828,692,686,283,873,599,277,507,359,401,304,916,541,460,879,
880,521,327,174,863,261,052,541,110,489,022,537,739,153,839,621,783,576,160,
442,825,981,701,740,103,663,425,677,613,130,890,675,637,911,889,225,034,146,
724,260,552,757,934,138,584,731,093,815,529,194,485,119,311,961,662,507,820,
839,077,103,848,508,865,360,067,335,976,594,184,480,989,520,136,557,691,070,
038,170,572,388,566,484,598,069,289,354,729,680,723,144,774,153,691,938,490,
131,199,303,220,749,770,256,882,458,810,764,216,760,067,349,983,788,184,384,
909,735,830,148,130,898,869,205,868,739,144,279,037,088,246,579,158,264,533,
972,249,945,613,114,461,777,819,693,862,055,793,452,936,712,456,442,513,466,
801,383,643,603,008,774,899,450,379,893,255,574,695,972,910,811,002,611,433,
545,784,810,271,008,396,928,728,801,577,869,262,692,122,317,490,910,034,186,
331,920,829,727,073,862,403,396,085,308,776,932,219,092,478,291,034,856,910,
490,938,312,611,130,534,991,670,939,870,609,135,465,885,081,255,555,700,341,
454,198,790,642,703,202,586,483,226,087,308,599,207,844,030,713,223,594,345,
966,776,961,035,340,290,142,718,269,002,591,299,275,481,559,003,710,083,903,
094,121,220,967,309,861,633,592,843,006,916,950,234,619,550,341,844,935,328,
989,875,239,099,843,666,109,679,475,313,012,398,909,646,442,613,264,150,298,
872,474,004,299,170,274,072,372,829,887,423,474,902,952,124,070,660,893,451,
005,925,855,879,532,677,226,193,191,763,920,698,415,208,325,970,330,945,100,
641,189,039,340,214,523,155,633,705,126,604,071,719,965,788,586,540,738,685,
685,615,387,448,889,756,352,575,358,251,362,939,624,721,404,373,826,536,915,
317,546,362,184,337,333,784,777,673,801,464,017,940,585,760,010,226,096,480,
567,560,683,562,243,481,361,237,720,124,317,269,577,562,062,214,732,398,346,
774,140,632,938,685,641,968,192,016,416,094,003,774,971,620,968,908,476,374,
624,301,857,313,558,507,732,161,477,727,036,418,790,462,481,050,788,741,453,
011,511,378,478,277,063,078,325,484,436,449,029,547,391,121,929,073,348,985,
115,819,012,176,856,680,115,379,326,998,842,077,476,147,802,782,753,234,793,
237,443,178,785,222,299,076,724,668,408,906,339,952,638,232,851,490,321,979,
520,035,375,683,072,656,799,201,480,776,279,052,853,882,684,543,988,878,792,
406,144,341,473,324,177,962,893,525,332,118,779,264,494,520,951,235,353,868,
098,002,213,531,249,207,651,308,874,923,046,109,652,432,651,782,038,049,712,
832,431,198,783,229,597,685,723,157,553,709,302,015,106,410,586,693,218,727,
925,627,251,675,018,449,899,066,692,387,639,695,827,896,143,421,010,795,262,
062,963,051,128,212,547,283,074,076,946,131,038,628,217,069,214,307,469,815,
897,287,060,506,759,599,393,976,999,086,125,022,723,402,928,902,016,733,893,
626,194,641,036,211,481,152,122,146,539,151,857,066,380,671,679,528,120,758,
791,894,253,679,510,408,743,325,327,766,149,360,856,720,013,410,327,300,020,
618,729,541,272,636,004,232,573,447,647,884,295,708,989,569,545,636,834,480,
115,543,237,255,717,280,303,007,657,847,970,355,130,267,090,734,078,607,621,
854,076,919,620,148,804,675,190,088,890,784,257,120,016,522,565,108,312,600,
229,244,902,138,039,606,478,400,697,320,596,662,614,512,827,962,775,733,778,
678,309,419,886,987,824,830,301,427,442,011,938,447,092,980,847,568,967,444,
327,926,629,905,206,260,325,805,347,231,979,944,642,400,435,202,941,972,984,
044,794,801,787,279,345,894,914,965,822,330,802,022,362,402,635,232,813,707,
864,676,376,295,449,154,919,119,163,589,925,443,076,410,864,587,853,666,289,
557,363,217,845,811,480,628,611,490,512,890,324,208,874,430,651,045,224,722,
212,927,107,898,157,520,215,124,725,614,873,712,245,698,268,658,246,738,653,
189,815,093,223,172,133,544,390,295,883,371,790,160,195,184,725,943,456,508,
690,750,925,803,464,787,747,455,225,674,516,884,148,544,807,097,012,244,035,
013,210,161,599,088,475,811,251,672,245,381,420,069,432,342,504,469,127,291,
801,591,224,894,830,938,628,991,249,052,749,459,450,043,672,716,973,654,783,
929,813,492,981,740,341,521,665,833,350,474,559,966,931,577,607,724,165,728,
929,367,854,050,979,737,083,821,192,216,755,125,511,219,141,397,236,763,707,
784,598,987,387,475,110,386,781,516,828,180,158,977,123,630,034,607,129,176,
713,261,311,207,527,294,723,459,114,293,294,445,124,260,502,920,556,709,203,
902,061,988,332,761,578,131,624,926,313,763,059,008,739,201,872,612,480,638,
266,740,500,137,741,175,507,787,223,763,167,111,935,696,822,566,293,595,294,
352,887,167,037,883,319,020,358,697,634,835,975,200,423,588,091,029,342,330,
929,332,359,800,046,777,183,956,056,216,821,625,563,065,057,698,100,954,913,
692,145,971,653,148,385,619,298,761,563,109,098,318,273,417,907,064,278,093,
486,522,086,167,162,993,660,484,832,581,816,649,422,009,030,888,212,302,939,
352,465,728,564,837,761,110,966,796,763,098,571,620,333,632,844,890,033,912,
996,361,819,719,776,049,547,500,607,964,907,996,234,364,686,280,142,848,209,
165,428,449,006,768,319,371,070,151,683,036,403,335,181,201,123,193,955,196,
221,956,342,813,484,909,795,585,582,492,577,908,680,636,594,016,298,944,414,
737,493,652,272,358,089,270,539,047,682,840,856,208,411,803,275,965,971,492,
369,714,133,638,387,537,960,619,325,919,797,323,294,640,622,622,905,276,246,
898,961,438,502,603,696,954,292,300,306,645,435,078,674,193,216,981,309,879,
048,543,895,421,161,967,254,945,658,430,840,336,475,438,317,975,627,998,045,
958,408,561,966,676,970,796,282,623,943,863,994,996,857,882,505,139,253,620,
930,483,467,976,895,497,947,890,174,990,670,184,029,749,473,032,458,685,963,
670,194,718,794,258,652,692,253,896,552,831,485,629,846,594,804,295,427,550,
960,758,927,959,693,514,391,448,366,999,146,767,758,507,496,016,291,471,403,
050,730,453,566,884,003,976,809,795,212,752,439,227,612,472,985,706,331,646,
609,616,118,181,378,012,026,381,319,299,730,166,482,778,476,059,100,376,394,
156,320,055,949,081,928,327,873,742,679,666,388,454,717,057,541,012,987,545,
076,641,283,901,009,936,328,413,877,935,110,346,984,621,580,445,321,838,083,
388,032,149,301,377,230,810,877,033,075,794,412,028,022,709,849,632,358,111,
075,962,338,269,846,001,319,731,082,711,974,959,903,682,912,596,026,728,493,
388,537,422,424,060,700,397,257,758,965,024,546,494,305,626,434,028,980,572,
533,899,042,042,547,690,962,893,715,831,873,686,726,753,410,759,788,981,464,
942,287,906,039,468,734,856,335,378,199,929,663,467,515,142,447,568,339,090,
522,652,804,589,649,850,929,110,590,563,849,248,368,180,860,316,921,710,486,
177,541,748,534,775,802,625,296,591,897,256,833,769,645,002,254,889,544,057,
539,946,515,641,543,719,417,336,607,520,808,989,546,344,571,716,249,759,743,
993,823,941,915,834,181,304,649,307,974,882,497,270,340,214,121,078,891,519,
663,839,926,131,731,056,791,715,684,417,190,564,781,880,983,360,401,475,954,
343,804,151,549,303,170,179,039,375,276,001,935,228,035,067,744,342,211,495,
487,018,948,549,322,287,254,371,873,142,310,828,229,859,742,424,061,135,330,
848,089,425,229,050,900,833,595,829,737,394,286,128,428,535,192,463,791,520,
948,048,174,598,624,564,565,165,441,067,099,832,405,974,126,545,681,010,141,
067,309,700,963,069,374,195,325,374,345,046,561,172,609,776,688,724,941,424,
330,638,030,656,346,841,633,213,814,315,342,942,485,697,283,236,860,232,786,
410,754,118,350,637,058,251,550,791,939,862,057,017,210,391,437,959,155,352,
946,128,753,084,731,728,240,472,491,167,738,615,946,505,794,728,200,328,630,
447,133,210,779,621,900,467,423,910,804,841,587,928,076,237,530,598,968,779,
666,652,205,193,855,679,189,844,191,761,120,398,179,717,486,099,713,759,368,
460,280,818,564,733,253,829,065,024,580,191,363,304,238,059,704,971,710,484,
150,562,099,630,525,282,034,955,097,583,839,423,595,557,765,103,013,095,037,
567,709,220,996,869,599,224,238,212,477,019,595,061,375,604,421,158,057,002,
967,138,754,515,063,624,362,410,694,274,314,371,100,787,521,566,876,111,531,
084,021,062,533,099,835,630,370,332,384,342,705,717,136,948,038,431,611,877,
225,309,229,110,607,571,566,643,526,336,636,122,342,260,121,597,748,584,062,
379,345,254,245,321,714,827,278,576,038,555,499,191,092,502,935,873,341,323,
965,814,194,323,422,766,040,914,468,874,127,486,199,030,725,297,942,426,213,
991,849,076,994,505,570,824,895,335,056,894,103,916,783,490,981,503,888,381,
749,647,726,540,963,663,839,377,212,734,077,010,527,959,817,517,773,741,719,
742,390,457,779,538,029,069,993,609,653,303,334,414,119,476,386,948,396,807,
298,826,688,479,725,895,250,906,396,879,955,554,396,673,426,387,271,022,595,
899,191,818,815,657,345,943,365,145,703,690,406,636,363,028,083,257,001,245,
901,871,995,115,074,722,858,445,102,455,328,060,659,754,415,402,468,095,531,
835,622,564,637,570,703,077,566,506,673,275,926,942,612,886,343,525,042,328,
512,062,281,658,399,532,727,891,778,220,504,010,662,117,621,418,410,897,104,
364,786,573,153,516,714,248,377,302,194,949,796,047,768,481,541,023,374,135,
082,726,415,473,432,629,681,322,925,625,106,313,540,962,096,543,769,652,092,
340,128,411,225,825,951,305,838,271,600,030,306,364,062,584,496,506,502,861,
566,394,673,724,135,655,405,226,106,314,285,579,812,483,177,494,647,153,665,
303,514,164,704,652,841,173,219,588,404,030,069,714,926,848,231,340,946,296,
155,838,935,394,026,979,630,641,907,418,311,552,295,430,736,141,192,744,354,
608,852,396,476,532,143,370,213,754,581,226,970,856,996,937,680,368,044,077,
920,900,543,181,149,879,648,175,285,571,912,783,885,489,021,767,915,825,584,
204,237,967,985,842,943,834,942,740,275,812,097,288,551,844,661,989,859,410,
995,366,348,241,629,867,731,729,854,772,086,004,411,646,681,260,844,363,175,
271,519,582,449,471,612,109,228,363,406,813,263,264,284,323,957,964,796,828,
100,137,146,050,940,447,369,916,366,698,195,521,508,949,231,320,373,931,845,
779,674,659,106,104,798,687,826,859,803,502,054,082,703,247,376,000,778,422,
508,304,590,459,136,753,902,663,043,679,853,826,111,179,536,217,833,443,400,
372,179,292,804,459,399,989,948,727,592,574,449,746,395,998,766,120,409,226,
470,067,931,422,035,987,478,830,937,493,770,766,508,976,961,595,803,230,940,
300,431,304,069,405,261,125,433,575,060,452,714,342,569,233,857,958,178,396,
905,055,450,355,789,192,173,335,500,936,576,228,325,055,427,188,175,695,185,
694,501,372,905,413,903,966,227,318,082,127,243,429,385,536,547,354,326,443,
707,068,247,141,363,696,620,720,138,820,883,325,875,855,562,627,573,893,412,
153,343,557,304,938,496,030,042,068,394,233,988,241,957,495,114,289,529,916,
589,447,503,868,016,546,472,250,828,027,913,295,938,740,489,452,375,713,855,
268,029,923,640,654,665,014,191,487,768,702,810,626,391,411,204,897,782,265,
904,267,504,761,952,325,747,057,438,853,296,039,109,352,743,038,428,781,047,
753,199,867,504,502,772,523,341,965,672,227,564,802,791,459,816,855,210,334,
920,985,421,593,166,573,974,924,231,730,171,305,840,072,087,831,846,466,170,
601,255,453,908,068,568,971,752,632,225,615,115,153,769,925,212,007,593,988,
019,408,990,912,559,612,498,007,739,428,534,458,694,744,814,860,767,538,708,
380,716,597,155,616,177,057,367,007,028,503,763,185,874,500,985,469,009,761,
447,413,112,846,242,155,810,670,400,338,989,108,181,366,829,735,480,480,314,
500,139,497,888,479,376,406,811,165,405,829,860,233,368,397,634,937,089,580,
363,160,534,247,015,531,763,379,026,405,926,349,570,786,467,987,367,098,560,
560,776,821,627,816,860,890,886,706,700,578,910,232,654,616,596,721,990,379,
560,480,548,531,770,321,209,829,088,613,318,778,317,818,967,138,244,946,114,
590,534,721,030,114,812,587,969,459,541,511,218,869,172,270,403,462,803,164,
492,231,564,854,301,278,867,852,117,821,193,565,857,825,023,119,356,347,705,
006,773,954,375,584,255,450,765,245,692,646,779,745,230,072,073,714,418,220,
270,109,123,945,178,967,730,001,210,937,422,603,702,534,247,164,748,082,168,
979,209,090,960,099,660,539,727,044,320,070,842,422,100,217,769,757,581,268,
355,555,350,152,504,658,070,821,857,899,043,150,866,089,147,239,831,730,418,
549,080,316,077,925,692,247,747,743,740,742,926,415,053,170,042,178,573,728,
634,570,641,286,367,959,732,221,234,032,363,488,233,555,302,077,672,919,735,
473,464,964,054,170,613,354,477,981,329,011,215,066,346,403,861,999,738,064,
083,550,166,589,991,296,711,355,964,249,908,698,500,635,394,368,989,692,337,
737,992,403,821,388,791,795,353,455,024,259,355,978,583,392,291,181,134,150,
959,622,329,420,069,949,584,755,559,880,982,942,305,852,668,487,087,468,128,
528,113,007,561,693,042,012,399,724,672,518,208,394,490,626,104,464,586,960,
748,767,875,219,144,473,854,677,250,787,884,184,216,611,392,192,360,639,864,
279,442,716,154,793,820,836,029,619,665,580,257,020,456,693,072,074,950,301,
964,702,021,605,272,443,359,683,914,453,293,255,021,078,594,373,648,131,637,
906,512,287,982,956,160,065,959,292,913,010,493,400,820,389,667,114,913,083,
234,579,710,558,378,018,758,371,989,509,061,565,594,645,523,075,160,110,144,
625,855,175,861,518,253,180,470,217,297,816,848,773,266,466,028,215,251,348,
696,125,237,443,708,574,930,174,914,756,764,160,149,427,724,539,477,743,224,
669,069,058,029,962,703,194,178,636,727,503,394,453,313,395,558,220,646,645,
307,272,156,247,270,949,226,636,006,849,469,916,100,472,078,465,004,535,398,
170,864,385,766,674,339,620,477,944,487,591,759,787,586,107,593,474,513,475,
838,033,878,349,530,227,506,738,971,460,205,770,338,532,704,355,311,089,295,
129,894,209,319,145,394,955,648,839,175,233,981,768,413,935,694,035,393,434,
184,103,529,297,851,860,201,066,021,174,653,491,347,418,606,668,666,983,566,
858,950,413,478,435,866,920,143,805,609,520,540,227,372,714,526,225,205,784,
568,679,016,294,361,643,824,801,360,824,444,948,486,014,646,625,883,354,862,
866,848,621,184,344,436,570,511,015,548,871,432,219,141,793,649,616,306,766,
031,726,526,106,059,752,716,783,196,050,140,284,288,230,344,701,913,315,971,
444,687,233,957,854,004,614,636,314,892,763,207,492,029,770,877,353,368,171,
282,759,742,780,648,473,169,065,554,064,255,316,903,012,894,860,554,108,842,
614,523,079,172,588,195,594,156,818,062,003,642,253,145,007,352,855,073,094,
047,912,090,477,517,986,209,127,168,115,834,895,779,387,896,171,886,089,946,
220,273,790,585,407,187,286,021,700,672,188,829,247,574,668,314,317,466,135,
363,659,302,296,601,427,450,598,068,775,875,283,348,254,148,954,230,576,559,
537,339,265,089,330,760,861,212,756,715,773,007,529,167,501,886,046,972,723,
671,314,371,322,088,991,373,755,388,273,822,711,334,151,083,839,773,083,390,
097,639,113,947,346,183,233,178,662,929,521,926,039,270,545,884,512,026,321,
972,967,536,743,375,201,845,478,492,636,742,589,217,751,819,982,688,622,049,
947,082,353,707,308,449,125,500,940,397,034,593,900,702,945,017,012,969,838,
508,425,081,789,236,976,832,206,767,346,432,211,625,579,073,858,882,927,612,
286,448,404,513,923,670,474,028,144,149,349,816,883,060,037,271,923,328,487,
641,949,053,127,735,532,887,173,032,839,403,695,879,494,777,878,158,316,734,
587,325,939,061,203,959,172,392,287,132,589,308,933,795,492,989,343,998,992,
026,238,064,492,121,204,663,856,228,567,997,406,763,174,327,783,802,612,952,
653,829,563,936,252,481,490,340,716,780,678,667,982,483,533,041,388,447,508,
408,871,257,413,000,311,334,639,302,216,148,423,448,703,844,687,274,029,671,
709,026,472,357,904,985,136,489,993,900,913,036,648,327,651,652,905,673,823,
685,283,874,458,022,554,769,199,469,648,475,352,252,238,064,638,579,546,693,
118,357,791,845,920,818,885,770,413,307,309,289,264,792,934,725,007,000,591,
300,475,357,997,759,639,252,042,157,374,055,279,706,145,865,522,420,509,341,
806,403,481,677,453,972,060,845,542,447,115,247,451,037,846,391,179,984,672,
835,129,664,857,932,198,468,460,837,854,021,502,349,788,308,177,984,410,801,
664,887,297,008,410,026,363,584,240,222,213,519,059,383,515,895,915,299,064,
156,239,061,425,307,306,835,614,417,602,099,782,226,233,847,448,827,560,455,
892,843,555,520,943,027,404,190,937,799,418,282,766,442,629,980,462,423,609,
129,792,935,124,173,242,591,454,599,944,043,644,488,392,212,530,368,231,094,
875,815,495,960,715,893,509,794,860,714,334,867,533,476,983,986,954,642,489,
445,477,106,418,201,500,131,659,997,986,630,062,344,679,190,809,560,680,030,
970,518,397,856,052,483,074,191,629,942,377,599,220,317,041,148,370,767,292,
372,505,082,860,266,989,544,774,397,570,175,761,150,420,408,361,196,788,142,
311,833,905,453,158,398,525,619,300,001,744,977,446,636,577,608,833,257,537,
175,937,643,743,718,760,169,725,905,744,074,052,927,462,522,865,565,465,979,
575,754,523,487,647,315,434,941,925,919,965,036,815,209,124,179,972,574,049,
076,863,813,388,733,959,859,725,067,811,751,365,774,996,964,030,522,096,010,
342,915,075,298,473,164,644,449,708,972,921,245,310,995,090,290,840,565,562,
633,486,842,533,695,775,416,855,289,560,608,262,657,489,428,206,069,790,549,
639,909,636,162,919,076,617,017,638,984,395,055,253,738,726,194,827,165,860,
327,407,956,820,450,604,477,874,365,639,967,598,331,279,687,647,807,247,481,
341,837,117,959,209,005,322,043,480,754,635,038,332,404,424,467,214,467,610,
032,429,283,434,726,525,972,904,812,821,260,627,737,001,491,292,845,043,831,
764,342,492,763,480,515,990,000,947,944,438,591,845,481,705,389,252,045,165,
431,591,151,546,271,478,566,949,892,309,250,758,352,040,566,207,456,826,924,
304,050,477,260,640,532,212,965,553,107,044,873,406,015,050,873,738,621,048,
312,947,320,905,384,185,541,693,712,200,569,311,026,407,976,937,380,291,037,
490,595,042,331,443,328,612,264,793,700,760,974,386,852,712,793,419,410,373,
675,113,790,486,980,561,083,345,653,685,095,808,131,802,438,517,895,805,333,
872,682,375,493,914,786,966,279,439,588,094,054,100,232,240,660,522,778,234,
235,730,629,839,874,697,387,645,479,545,171,689,814,809,016,868,845,574,543,
389,669,307,594,538,830,881,599,128,426,726,206,135,385,858,097,704,613,718,
563,645,616,483,708,678,693,826,969,224,922,221,831,314,888,149,144,891,599,
813,761,232,913,605,377,414,006,306,882,908,813,739,962,978,898,023,500,128,
515,640,484,025,965,883,542,854,808,920,182,158,560,157,355,035,509,342,722,
248,349,227,516,045,278,064,014,521,797,842,520,225,743,482,789,171,079,388,
044,606,988,386,209,605,912,710,092,695,894,723,680,126,164,618,386,057,016,
956,248,508,401,062,705,793,698,458,465,524,773,208,219,746,719,517,124,734,
822,919,499,393,685,429,225,744,514,974,000,373,404,827,200,776,543,676,356,
973,413,585,094,323,859,421,495,131,106,574,338,559,152,211,732,536,979,760,
971,691,090,341,524,769,410,224,724,847,870,730,791,238,693,804,841,422,937,
054,378,387,008,133,170,249,129,149,956,623,236,198,164,216,653,839,307,453,
016,302,840,794,422,459,080,525,949,957,485,701,125,261,081,078,801,586,560,
827,700,069,477,376,076,115,888,053,835,731,184,153,438,994,422,685,595,040,
917,805,940,256,545,998,632,931,529,948,062,088,325,737,840,140,132,370,480,
953,580,305,524,832,700,032,799,799,525,497,024,274,527,805,249,002,113,182,
285,177,555,136,860,992,587,682,654,111,580,387,040,598,659,938,891,676,707,
182,951,276,223,091,367,505,946,158,468,574,139,579,795,858,128,392,400,824,
120,700,691,173,248,950,393,369,451,575,874,989,299,837,522,631,029,627,803,
272,999,876,430,759,463,280,254,302,844,243,818,732,032,827,047,814,628,381,
232,609,957,358,328,744,612,238,512,486,236,722,707,991,457,987,025,959,396,
202,769,087,374,454,636,500,145,214,413,112,026,764,242,231,842,122,246,767,
918,548,378,646,960,177,441,388,386,231,636,004,506,440,274,559,015,987,207,
252,916,434,924,618,871,426,064,579,941,859,974,844,840,581,815,791,905,587,
430,159,961,686,166,879,796,611,428,723,294,320,328,852,733,130,563,662,082,
276,071,092,849,309,584,724,824,092,872,968,879,465,171,510,391,632,119,301,
946,469,249,467,593,771,717,406,205,300,373,700,329,064,383,191,061,032,409,
961,335,571,088,593,555,160,280,199,951,220,845,013,306,009,508,561,946,055,
750,011,723,725,399,803,921,935,127,529,842,957,067,666,769,315,755,827,653,
806,538,920,384,859,732,674,678,576,009,866,415,113,481,435,052,526,880,754,
535,839,892,276,953,450,964,815,804,710,395,367,322,028,295,604,281,911,276,
160,402,352,270,339,790,314,088,709,744,826,847,136,851,917,989,082,774,650,
731,343,236,038,259,931,604,004,316,719,538,540,337,582,369,525,918,556,724,
792,615,254,297,284,705,143,347,580,084,962,985,128,174,671,763,471,961,714,
731,836,706,833,320,395,180,200,171,678,434,956,875,807,350,352,104,554,741,
962,743,178,942,936,651,794,085,196,284,499,644,398,842,386,337,533,027,287,
335,082,185,243,984,745,194,518,432,836,811,064,291,778,327,512,463,390,547,
509,070,711,907,777,039,022,852,260,160,695,618,013,123,288,138,357,415,583,
071,804,392,232,967,331,806,593,662,523,171,214,037,663,507,337,353,074,554,
524,854,457,140,611,499,019,311,137,113,168,194,764,369,360,143,138,250,651,
199,317,464,825,802,471,224,751,736,072,171,683,724,464,520,260,167,541,065,
072,960,116,822,350,709,906,902,843,523,034,364,231,298,294,402,945,476,056,
229,521,551,705,733,567,755,101,577,254,693,015,765,482,436,709,605,252,967,
779,119,189,316,910,008,502,680,647,878,982,590,590,222,605,335,201,626,957,
689,949,947,625,951,837,488,372,752,846,612,955,463,442,190,590,391,128,156,
939,438,017,777,253,042,814,848,991,050,880,239,877,462,435,433,671,879,394,
939,878,458,258,950,221,643,086,708,246,585,161,536,519,488,571,075,669,588,
185,915,388,312,976,926,909,743,393,588,708,843,775,909,203,540,468,791,347,
094,115,415,592,048,067,603,171,596,428,563,677,374,116,496,532,619,529,363,
865,904,405,348,607,117,354,785,109,509,179,220,364,150,710,432,197,606,062,
964,238,247,705,875,887,571,650,553,651,141,739,519,012,270,273,421,185,942,
647,450,334,715,335,181,353,384,821,525,656,177,071,568,591,375,985,859,536,
946,614,912,652,620,720,400,451,990,793,710,290,263,283,377,286,624,088,779,
633,958,964,349,356,146,871,725,315,867,253,042,093,619,031,183,673,878,922,
983,153,165,858,010,811,723,333,637,060,240,526,153,179,524,619,505,316,976,
848,524,623,496,344,536,580,759,573,016,750,827,175,994,690,437,240,461,977,
218,653,330,285,641,502,664,487,892,878,164,553,472,656,516,383,560,826,217,
401,438,279,567,083,260,766,389,330,778,705,429,330,339,233,163,384,037,918,
803,809,415,007,204,432,035,539,752,885,279,196,902,354,537,484,648,240,111,
772,483,482,747,001,041,677,788,610,206,001,430,457,220,673,808,246,981,101,
986,566,093,357,585,029,547,352,671,843,710,653,225,368,335,356,324,898,655,
871,276,635,198,258,307,650,427,100,391,611,367,848,850,378,532,630,151,873,
925,236,029,002,596,927,713,060,288,025,298,166,575,263,079,528,767,560,014,
393,540,772,249,427,363,148,991,858,370,881,934,658,754,344,867,815,936,356,
823,189,236,845,673,483,983,331,178,363,475,461,621,270,019,497,002,216,290,
511,368,030,295,229,133,727,175,140,273,577,996,869,505,019,256,150,535,665,
105,897,842,396,202,092,849,948,188,782,378,214,060,225,245,251,626,474,293,
495,747,684,091,460,057,834,408,848,971,334,988,943,590,885,185,311,631,737,
585,661,229,389,874,697,617,276,716,904,132,680,445,778,028,253,798,221,792,
036,588,788,443,310,124,139,990,852,882,454,447,303,115,812,618,987,775,379,
252,694,508,378,929,150,191,053,360,484,482,493,989,604,497,499,050,576,444,
720,509,733,151,729,075,436,152,968,725,773,716,566,655,290,740,244,691,112,
417,488,186,123,672,357,359,767,268,276,033,055,722,780,308,671,635,506,601,
956,344,865,396,115,605,586,247,792,490,830,132,502,916,212,310,509,640,815,
366,827,695,346,484,743,062,161,201,031,636,208,652,601,489,051,794,125,549,
473,572,746,548,808,082,646,426,947,770,250,540,986,864,198,673,669,107,169,
060,284,023,143,858,110,982,433,400,174,680,706,809,543,970,287,252,981,980,
666,297,042,693,210,597,287,052,712,188,054,361,913,083,551,229,444,972,583,
570,950,673,567,706,351,463,557,706,715,736,488,500,559,656,708,885,027,102,
497,408,165,700,295,579,347,049,825,458,658,354,255,907,542,218,440,247,534,
255,316,951,475,074,179,831,805,795,876,111,405,494,342,741,913,889,714,587,
633,602,505,402,621,951,694,870,681,499,924,561,245,748,814,448,492,131,704,
596,551,762,148,639,119,799,636,623,667,416,706,022,956,221,770,961,075,084,
837,745,349,172,398,943,952,165,140,349,945,027,488,218,275,434,285,974,598,
817,966,296,994,470,972,702,974,582,152,235,403,621,504,250,962,208,466,179,
482,680,688,351,800,228,060,401,802,114,468,406,954,100,087,520,690,768,761,
042,360,281,694,577,861,789,731,305,666,243,086,720,065,570,106,013,784,063,
725,452,791,295,317,095,595,688,662,290,360,658,902,368,798,601,780,974,083,
393,604,646,197,074,506,922,794,824,183,529,595,292,937,638,626,613,662,411,
572,033,317,107,061,431,108,915,132,636,701,977,592,167,415,649,421,585,481,
496,482,997,133,508,778,580,264,799,495,201,840,982,342,850,119,538,585,175,
483,050,954,040,486,732,693,201,356,529,191,163,784,361,217,970,603,235,051,
812,992,023,764,642,729,123,856,173,544,271,334,687,927,610,428,726,868,873,
591,909,236,377,042,918,125,796,625,731,215,481,961,627,619,699,470,203,486,
193,822,445,526,958,334,272,311,424,201,714,033,028,128,231,123,505,760,753,
853,621,227,943,912,991,929,635,340,337,298,788,592,490,792,035,544,207,789,
890,128,258,164,670,686,206,954,574,272,141,041,918,359,029,238,892,700,784,
885,844,692,073,040,299,221,194,510,717,949,997,309,748,199,102,438,207,271,
487,705,226,955,344,472,267,149,567,055,002,829,096,514,968,137,694,231,809,
966,449,313,076,688,427,530,778,152,910,545,638,966,399,122,572,020,645,204,
202,686,432,629,203,306,333,051,921,775,262,417,211,772,502,806,809,093,268,
472,900,670,318,157,379,609,386,938,607,706,860,961,775,689,884,524,284,926,
862,198,752,904,235,207,775,565,736,112,289,142,792,678,978,482,725,345,905,
458,005,990,573,196,418,714,445,105,327,675,366,628,740,839,900,227,948,411,
012,915,663,000,280,179,921,776,737,603,775,010,374,672,205,723,909,773,624,
021,015,138,730,988,581,102,420,382,935,387,667,070,579,916,134,843,353,610,
748,952,146,681,663,870,114,284,115,453,190,104,391,100,945,818,195,923,949,
552,216,153,459,772,196,283,842,215,814,862,805,181,559,990,415,751,761,758,
829,937,252,505,434,608,871,037,343,420,771,373,028,575,355,111,579,058,364,
563,728,617,854,438,423,788,223,340,721,086,206,479,320,198,763,055,871,519,
583,065,944,485,020,399,484,293,974,266,409,665,932,932,448,544,420,507,591,
492,062,110,537,197,963,349,255,894,163,207,159,627,574,487,065,923,383,565,
814,561,690,237,229,668,122,984,897,016,266,168,185,346,612,061,153,266,193,
483,292,293,602,679,952,738,444,077,078,997,411,794,361,256,721,873,405,910,
010,726,148,649,032,994,137,989,448,062,973,094,451,851,718,751,490,330,678,
972,494,522,067,474,691,009,011,820,780,182,499,267,921,177,797,085,213,389,
959,242,410,112,408,781,590,448,884,621,674,382,804,588,123,550,189,345,947,
839,793,357,516,433,726,437,615,234,377,586,451,691,619,272,379,634,342,609,
153,787,180,260,579,771,489,621,407,313,895,843,253,707,037,034,813,242,922,
353,231,309,046,491,678,674,849,544,958,702,748,018,427,321,604,960,283,578,
497,277,136,071,574,923,127,157,128,952,796,095,661,771,405,420,812,319,286,
305,644,622,203,009,046,662,641,778,139,367,145,759,057,831,387,791,562,154,
704,905,208,093,873,520,621,333,813,305,939,896,544,788,679,684,949,985,489,
945,386,966,524,632,625,597,585,002,325,894,855,760,587,514,394,884,996,964,
120,312,956,924,947,985,397,080,786,290,620,575,987,335,977,930,964,319,196,
367,234,922,428,195,014,509,119,343,023,374,578,147,759,041,347,957,398,249,
991,037,179,312,772,171,634,141,042,035,057,018,677,238,294,274,795,559,992,
095,073,241,774,618,976,154,792,576,079,828,076,035,997,382,431,580,212,303,
153,696,125,887,611,654,837,774,979,573,218,311,095,154,321,944,767,321,290,
969,932,002,177,009,302,925,498,254,108,052,874,248,082,612,792,765,990,051,
234,847,057,512,360,559,270,126,828,259,212,751,405,686,729,442,744,004,179,
711,023,887,194,162,556,464,218,526,952,330,001,063,785,504,623,522,964,661,
679,180,799,951,461,797,193,311,988,027,726,302,615,541,420,553,946,900,441,
514,131,136,404,579,344,308,989,689,888,133,735,807,799,339,507,024,240,562,
864,809,423,898,984,595,725,452,332,281,108,575,001,397,105,907,398,812,138,
257,265,831,342,373,121,104,942,645,913,571,665,092,386,373,838,268,427,816,
961,275,615,159,707,478,722,432,085,723,924,977,880,286,308,928,933,188,550,
309,187,989,588,999,137,636,209,267,097,105,568,188,688,906,798,153,737,830,
667,498,008,914,545,933,707,578,656,315,232,466,030,965,286,329,321,493,527,
938,421,521,136,285,991,062,443,545,287,116,657,955,093,254,182,247,955,545,
594,467,941,910,644,658,372,708,167,129,412,813,481,626,986,815,609,704,824,
423,148,444,274,577,720,789,454,058,556,062,428,996,369,800,468,266,984,216,
613,216,185,500,538,747,539,344,026,871,216,637,094,434,671,723,461,970,813,
137,645,839,781,970,955,272,285,048,515,104,145,169,214,545,627,532,201,204,
506,306,364,310,346,429,406,292,652,347,928,645,811,206,865,659,186,608,438,
921,784,762,614,858,913,952,993,357,315,090,616,570,648,673,679,447,582,995,
001,193,822,987,998,219,664,639,476,090,587,744,707,002,481,050,136,533,739,
757,460,111,648,062,070,099,259,571,328,578,393,239,562,360,523,938,630,787,
269,347,260,556,153,351,456,397,821,674,391,124,306,031,999,311,420,846,255,
621,527,828,963,165,133,689,635,950,600,714,240,932,064,966,898,237,309,443,
008,715,978,634,777,167,732,447,041,064,330,097,834,634,478,294,985,530,295,
123,692,630,902,073,124,258,481,190,883,351,764,308,815,361,402,560,553,616,
151,212,377,311,306,432,527,064,775,287,769,400,207,629,556,624,185,463,591,
452,197,743,785,857,856,951,249,383,676,472,923,007,533,667,519,278,661,561,
064,193,564,759,535,259,149,405,903,817,511,288,663,141,861,107,578,913,557,
006,750,930,227,391,283,011,041,629,406,147,109,608,335,879,115,142,887,629,
750,526,857,659,759,516,767,923,041,018,049,050,168,444,354,646,659,462,456,
802,770,410,149,208,573,480,236,684,671,333,904,121,839,033,390,465,475,782,
300,806,159,396,950,124,400,561,287,701,536,346,976,912,543,974,210,258,398,
295,213,590,705,808,702,499,269,762,871,923,210,721,382,529,759,365,362,792,
759,514,540,561,081,908,681,871,157,621,605,500,282,548,809,060,870,595,129,
106,579,468,002,039,547,096,810,249,681,489,863,626,528,203,766,647,771,727,
288,793,166,165,722,791,153,189,965,750,978,564,514,836,278,164,442,355,557,
109,170,209,455,582,773,123,699,727,560,265,651,042,019,074,443,141,432,825,
759,921,524,511,482,721,812,718,860,028,738,794,212,599,587,620,297,967,398,
276,290,239,175,328,489,881,875,095,451,200,405,103,307,873,042,726,463,491,
941,810,014,142,019,707,371,472,273,398,888,629,883,830,266,988,086,604,530,
771,050,060,263,440,142,218,623,728,183,357,518,506,974,319,525,174,279,232,
720,873,424,135,385,485,396,657,268,113,631,257,522,191,270,004,184,475,448,
035,667,104,549,085,892,130,432,488,576,069,053,364,198,302,198,502,741,146,
236,963,984,431,388,732,925,568,893,160,033,539,942,121,350,315,087,108,518,
448,097,839,743,803,972,865,003,751,311,758,700,975,323,534,905,042,491,608,
224,815,708,344,241,718,225,159,131,745,328,621,143,771,184,661,143,535,894,
390,165,954,468,248,899,835,506,395,353,885,439,729,332,563,747,522,212,599,
821,822,139,273,435,969,706,309,895,997,029,561,602,773,001,928,346,377,396,
106,296,976,441,906,712,890,962,250,101,365,275,269,504,714,349,835,485,321,
949,048,987,722,506,498,312,271,805,859,788,109,767,358,863,328,717,576,068,
410,692,518,014,302,516,842,382,688,468,582,727,662,984,200,288,156,238,815,
784,229,506,816,178,018,983,773,548,175,796,620,749,646,148,193,583,524,950,
063,763,234,118,095,235,000,985,184,811,911,651,537,885,587,678,625,220,925,
020,128,615,180,923,220,463,022,811,296,471,301,677,451,949,650,611,058,463,
404,821,269,200,313,199,976,403,247,985,156,019,442,574,604,312,892,559,159,
569,598,848,553,038,047,988,325,914,311,923,530,887,384,531,891,027,542,454,
405,908,433,254,991,388,018,953,167,732,804,791,666,931,941,671,321,916,816,
200,455,599,080,809,472,011,256,767,152,326,969,303,867,316,751,310,786,614,
437,987,320,821,526,810,653,852,072,719,911,310,992,775,421,679,001,709,602,
182,735,785,598,535,562,128,725,503,039,777,915,275,888,051,170,090,759,271,
080,819,679,702,785,015,758,399,596,787,335,026,350,623,431,453,411,483,090,
093,834,996,614,962,402,943,684,317,048,052,108,822,703,666,364,428,368,416,
830,523,273,913,722,158,617,311,177,736,570,964,327,568,594,521,783,469,582,
262,576,208,727,402,108,920,616,144,221,422,004,709,810,410,889,787,752,529,
259,362,352,761,046,967,750,126,079,410,488,275,786,034,220,162,024,825,942,
425,748,869,590,309,649,908,097,978,046,199,844,096,561,763,252,556,425,704,
799,614,382,160,245,368,826,593,832,365,485,847,548,784,882,901,554,815,400,
904,795,614,117,045,065,151,214,950,737,883,718,891,550,114,671,390,997,942,
562,492,925,163,861,713,336,278,036,410,032,592,634,039,254,821,851,041,978,
078,549,211,172,781,946,180,063,157,020,332,252,935,337,512,514,167,347,200,
286,090,344,186,508,442,815,228,533,251,680,797,236,641,252,150,800,167,815,
101,493,082,467,094,874,597,436,283,187,666,742,560,570,785,447,457,197,769,
331,987,615,889,899,214,827,450,291,526,885,438,716,046,351,184,825,904,250,
682,654,895,649,824,424,564,103,186,486,711,903,361,581,956,168,489,915,783,
004,375,255,446,429,566,030,510,627,009,533,648,033,853,846,761,408,776,707,
179,678,146,884,902,496,503,069,325,803,609,539,817,004,320,109,858,112,530,
930,930,277,654,039,207,843,284,091,096,955,345,215,734,501,624,195,234,055,
825,337,275,952,795,135,200,035,187,468,588,376,535,111,046,865,239,497,281,
273,994,343,005,529,055,052,821,227,531,047,856,919,395,571,627,640,813,600,
691,360,992,870,056,938,020,782,685,996,316,191,549,225,652,099,815,315,001,
779,065,676,150,534,328,173,931,695,851,632,446,173,700,438,511,215,832,468,
628,626,460,395,120,375,710,266,809,264,107,677,158,789,235,895,453,775,589,
647,455,413,302,221,991,028,174,636,195,956,807,790,348,263,025,761,922,468,
424,726,082,274,649,450,202,551,381,392,384,864,732,990,731,263,248,688,795,
192,271,820,771,543,684,543,660,723,141,708,610,888,051,440,657,306,053,076,
534,206,768,235,341,968,782,968,521,424,101,933,623,286,449,406,375,106,571,
318,459,321,480,492,626,236,602,182,521,934,909,237,440,878,465,059,040,315,
306,959,272,551,985,435,418,972,029,762,755,634,068,530,584,683,757,289,464,
126,626,132,352,656,660,276,883,204,451,473,759,090,508,533,683,395,754,290,
830,403,373,195,071,036,227,503,522,853,088,514,352,704,203,623,668,148,497,
819,772,457,990,769,632,993,656,666,858,044,595,203,737,506,278,098,671,637,
647,511,263,720,479,239,967,598,121,769,359,336,058,326,440,812,603,887,094,
532,986,716,960,692,493,507,069,125,141,459,109,986,380,064,889,918,025,266,
783,219,796,529,501,087,475,440,342,464,509,389,273,972,000,142,839,208,677,
730,466,535,950,764,717,512,879,831,842,170,775,730,735,867,955,731,292,484,
888,274,645,156,794,745,991,856,346,361,528,691,789,943,140,892,263,038,177,
874,935,141,352,511,263,134,977,389,413,752,783,613,458,324,406,547,310,212,
543,796,570,742,074,618,577,158,953,795,853,524,386,084,509,531,211,259,349,
843,387,483,000,133,516,259,316,520,727,907,463,122,133,145,719,996,903,816,
432,847,655,314,392,251,046,591,608,335,507,716,123,789,012,766,348,413,391,
689,615,388,873,517,715,745,862,171,501,788,883,106,034,086,087,112,695,340,
005,033,930,532,394,600,083,755,933,714,202,497,675,540,144,016,651,133,981,
855,105,068,684,579,354,733,654,473,702,559,283,827,068,862,098,570,961,401,
703,099,727,552,954,334,006,028,409,153,306,506,886,161,539,457,953,700,796,
771,741,218,404,006,210,493,214,659,128,588,446,422,678,564,273,377,548,165,
950,219,992,692,796,974,961,851,089,393,318,981,616,644,092,234,843,309,130,
584,690,363,666,839,816,602,454,460,335,993,139,990,772,499,288,643,099,788,
069,906,290,161,170,303,563,607,044,909,755,168,498,036,179,255,147,019,324,
284,782,953,693,158,021,060,223,702,157,012,957,411,245,784,953,283,322,342,
036,822,706,394,585,684,526,861,579,615,268,317,417,353,151,364,992,060,763,
262,871,516,651,584,016,070,664,426,857,093,725,667,571,205,482,805,947,861,
893,217,439,872,749,796,845,731,695,722,489,873,471,990,901,044,423,129,173,
158,501,314,043,115,588,429,970,366,563,833,129,500,344,051,398,788,001,767,
305,740,139,841,987,985,532,045,721,928,049,504,781,403,457,747,375,657,600,
152,171,503,470,824,725,130,700,023,630,485,371,694,097,811,986,630,158,832,
992,713,203,483,930,985,215,794,789,534,984,663,872,137,754,575,152,608,594,
486,616,817,222,470,856,731,403,296,148,297,798,773,205,755,988,233,660,422,
756,692,427,121,234,296,024,587,614,798,088,438,293,998,471,960,622,277,966,
527,353,385,622,641,071,498,886,490,726,128,162,940,760,314,370,692,803,338,
390,326,393,009,227,714,890,760,861,450,474,482,882,119,620,638,069,118,051,
712,543,627,828,602,261,807,192,666,605,418,055,666,958,489,728,757,028,741,
450,704,993,195,091,142,145,869,116,567,380,031,683,510,639,692,630,306,308,
883,654,286,981,645,868,191,840,083,615,206,211,652,155,791,158,140,221,554,
802,030,282,399,419,259,364,419,404,040,663,295,493,519,525,034,981,944,576,
480,643,069,579,802,466,310,328,876,987,250,386,248,817,515,815,009,210,329,
944,770,247,996,547,107,208,902,366,880,540,251,736,429,934,526,169,853,002,
004,517,184,695,143,470,467,629,248,494,935,578,862,833,893,228,680,494,019,
746,795,880,323,161,257,566,136,066,270,207,462,621,069,857,434,056,812,982,
478,108,231,815,642,462,439,426,048,122,757,882,609,630,964,353,436,643,499,
669,779,896,520,721,268,112,085,645,431,499,146,493,011,306,796,871,985,146,
953,568,536,051,380,061,632,452,581,762,428,228,502,801,357,542,352,910,958,
165,702,006,860,360,971,373,152,507,338,878,949,109,357,921,824,227,436,513,
437,655,480,894,356,806,616,888,743,896,273,375,404,054,102,821,123,253,349,
591,475,752,347,129,190,957,040,006,198,526,515,232,652,925,055,501,119,646,
023,338,754,760,993,872,181,687,564,286,127,644,442,499,738,225,776,934,876,
931,825,932,415,120,904,823,765,323,993,725,927,745,455,220,494,102,317,419,
512,487,896,435,989,845,112,107,325,237,764,391,093,850,029,026,965,144,814,
184,183,005,256,267,984,372,748,719,338,252,761,555,588,059,523,574,117,334,
869,714,416,434,566,693,214,314,521,033,270,795,590,275,267,195,509,785,917,
939,737,760,592,243,304,185,873,544,651,790,791,714,192,755,275,077,859,908,
124,830,414,621,540,211,414,533,034,837,092,861,410,672,533,789,462,693,095,
561,411,624,947,479,273,411,368,873,690,973,261,935,784,725,343,229,920,107,
474,614,424,783,694,269,759,118,533,457,516,819,530,991,624,231,056,851,134,
080,064,893,510,375,458,558,226,918,125,788,233,365,923,957,441,431,164,107,
680,558,576,325,276,879,410,737,928,598,138,150,223,121,915,692,261,637,025,
705,770,280,009,644,089,183,466,732,180,048,546,864,835,858,343,055,348,405,
252,403,315,334,800,594,970,004,935,853,726,077,793,146,018,847,221,069,959,
475,988,926,209,885,940,300,236,483,601,148,580,987,366,024,197,623,566,673,
605,807,976,527,777,300,440,687,476,690,316,976,257,960,070,959,204,279,176,
956,397,694,657,020,712,421,633,598,010,674,662,400,871,426,197,431,628,432,
404,604,439,796,622,833,285,502,731,555,791,332,753,326,275,073,556,844,390,
325,035,220,157,372,690,593,198,029,445,582,903,236,949,360,521,982,081,483,
646,564,228,514,639,585,340,952,218,247,701,010,578,457,811,876,394,199,209,
791,816,848,995,528,680,123,194,689,445,619,439,716,275,947,263,613,267,611,
713,562,323,203,694,774,470,040,821,879,155,930,502,427,753,290,121,625,525,
868,654,778,791,834,378,172,644,940,694,742,837,953,893,585,165,783,209,710,
602,585,661,764,714,744,812,881,109,756,427,669,884,600,681,501,342,806,630,
765,631,416,870,644,543,449,057,074,203,988,744,082,514,710,702,009,601,524,
913,502,594,610,623,289,427,435,510,209,913,698,795,820,158,526,934,062,102,
654,984,245,710,319,712,224,761,353,221,918,852,166,638,524,324,475,199,737,
461,698,562,720,415,624,545,140,107,743,933,079,630,180,170,886,122,559,420,
739,526,763,462,828,054,202,919,091,637,650,941,260,113,892,872,978,343,072,
201,709,556,532,108,830,559,078,680,135,538,512,189,483,566,982,339,959,804,
075,615,034,759,570,392,034,784,268,076,927,086,761,860,662,796,561,881,939,
295,444,578,311,837,512,046,327,201,801,299,222,505,744,569,358,541,812,160,
474,127,100,532,523,904,297,637,774,727,549,298,026,375,119,547,737,533,153,
240,163,566,165,017,576,798,128,176,205,374,611,994,315,952,143,708,842,798,
335,372,564,706,800,387,512,881,036,391,389,722,376,735,733,945,974,024,772,
465,719,044,070,668,916,061,652,369,478,527,571,115,293,893,137,666,717,949,
338,731,496,986,343,788,178,343,823,535,452,564,603,547,056,111,796,337,698,
288,875,316,620,800,437,294,659,709,903,633,083,212,349,382,219,427,175,432,
965,408,561,102,789,921,579,796,222,052,702,353,750,255,340,493,270,115,773,
726,862,530,185,850,986,279,476,464,838,145,377,248,207,197,739,651,363,806,
240,763,045,380,143,132,024,544,628,519,145,884,149,147,021,970,044,647,559,
378,995,952,046,307,462,198,129,244,905,655,700,252,831,002,971,685,315,247,
871,405,460,118,996,449,202,210,617,226,136,107,195,426,622,268,584,576,374,
028,848,404,577,240,813,315,404,225,175,410,748,834,790,975,987,003,167,426,
067,989,508,774,726,892,503,245,085,446,178,623,599,177,026,851,815,051,496,
908,584,855,240,344,071,030,229,194,465,521,563,911,155,239,858,846,646,952,
930,399,042,894,462,617,920,867,193,717,880,556,125,333,102,920,863,492,483,
086,260,240,839,001,600,294,752,874,202,405,622,171,576,844,483,317,199,700,
025,547,131,678,501,722,724,913,093,688,048,437,949,971,758,723,391,525,371,
235,403,502,662,589,041,293,004,984,554,707,606,080,678,337,910,434,872,979,
810,550,143,949,967,217,715,143,545,444,753,165,960,551,847,311,569,598,610,
234,217,599,070,038,924,834,593,566,155,162,743,097,038,732,482,247,910,938,
633,967,910,669,585,668,528,749,083,655,124,439,086,703,972,494,031,537,405,
245,818,017,358,956,052,686,161,240,542,684,153,455,156,338,987,838,109,328,
986,842,057,606,799,371,460,701,517,551,411,499,591,566,201,675,156,345,966,
935,183,446,632,212,450,302,189,805,133,971,947,821,838,892,595,711,097,063,
416,741,907,862,960,507,481,123,199,675,911,652,130,786,496,937,797,822,465,
684,362,854,177,313,463,882,806,078,495,958,148,545,603,430,495,905,160,603,
302,391,950,230,432,151,322,082,730,673,063,300,605,355,048,618,125,338,157,
749,850,619,985,360,812,336,446,473,331,897,814,902,602,470,980,902,745,429,
334,280,640,352,411,925,989,852,412,083,848,215,682,445,653,576,468,498,534,
766,517,617,992,680,062,121,066,820,699,270,643,488,609,205,376,469,097,461,
400,950,636,628,534,978,068,494,347,944,406,551,559,501,960,221,285,337,731,
530,759,653,114,811,120,003,326,119,793,572,215,724,929,169,230,473,971,385,
210,525,432,630,121,952,010,686,914,071,480,288,020,095,593,663,598,028,848,
836,949,779,579,713,600,801,031,171,232,089,820,870,518,394,002,761,191,948,
730,978,224,563,752,763,986,800,255,817,023,591,007,981,801,049,946,451,846,
434,074,125,693,524,850,508,485,247,364,791,463,765,182,101,361,483,850,451,
797,808,960,250,458,652,472,900,899,717,088,050,183,271,161,017,634,267,949,
960,180,359,809,669,550,819,346,963,467,432,778,303,787,364,354,800,622,152,
786,478,072,855,158,163,616,063,836,296,992,940,257,951,474,802,341,533,714,
923,602,360,500,985,720,048,278,079,949,238,035,814,766,588,380,890,829,803,
173,826,668,896,989,233,705,820,865,181,330,797,027,045,451,793,144,146,120,
252,813,041,428,359,889,307,546,347,810,773,568,987,845,729,230,718,381,866,
892,373,729,471,689,056,108,379,932,144,219,331,266,064,005,669,461,240,728,
468,183,187,349,726,114,264,455,638,820,656,984,201,460,920,580,317,301,037,
812,404,289,507,796,334,338,407,128,077,137,748,381,526,445,478,813,173,494,
223,067,065,469,274,244,463,817,263,261,668,237,587,454,806,129,839,000,602,
619,164,283,910,609,305,553,666,063,268,301,100,401,566,424,627,425,234,632,
276,634,931,813,084,542,900,820,206,041,542,686,083,519,897,063,034,339,135,
353,444,122,376,469,585,388,684,245,845,615,383,330,649,677,099,002,685,245,
116,180,786,293,274,543,981,723,928,627,683,692,880,714,371,559,463,758,763,
529,428,410,122,990,281,358,598,226,394,857,100,169,069,265,724,611,050,248,
930,563,362,205,018,246,738,061,765,980,272,322,580,072,681,680,330,640,373,
945,835,468,249,964,035,233,736,107,165,340,545,184,632,766,738,930,221,977,
920,742,804,973,242,739,670,784,807,914,321,140,036,554,908,684,215,753,425,
404,597,635,331,824,653,391,416,293,284,965,310,310,624,522,690,373,705,326,
876,625,380,320,478,060,941,133,655,140,753,399,799,964,281,097,026,336,120,
615,655,221,917,828,360,752,407,771,356,264,057,394,076,413,252,986,368,479,
178,765,456,115,438,802,225,198,342,882,762,821,548,375,658,129,065,137,669,
131,728,926,186,656,556,086,709,641,470,408,781,200,308,498,056,608,807,135,
797,990,677,695,565,037,331,940,644,309,789,464,522,991,006,122,626,872,657,
331,734,468,128,923,398,263,677,115,923,966,942,837,747,234,849,735,618,660,
200,639,034,248,472,975,085,064,644,981,570,583,612,392,818,307,180,273,148,
757,636,250,249,671,927,514,064,597,036,841,480,475,822,927,102,597,856,535,
211,775,739,334,393,654,511,324,169,990,394,871,717,608,232,802,939,128,568,
638,330,051,742,576,510,687,016,128,058,770,737,284,321,084,545,942,027,070,
428,191,933,283,190,421,011,023,795,086,050,838,755,177,247,852,127,175,676,
852,058,386,000,696,485,797,480,634,990,200,018,461,359,510,172,340,501,057,
667,202,217,615,558,301,875,241,311,413,667,055,238,265,969,108,091,347,991,
643,709,974,629,116,761,629,365,164,699,004,102,568,969,779,466,218,496,241,
208,064,072,049,488,413,571,050,412,719,546,746,349,781,838,074,409,924,814,
919,765,800,276,795,842,408,847,783,007,185,532,441,421,509,617,441,270,588,
861,615,836,890,086,998,830,618,016,843,339,837,848,390,465,853,574,465,295,
512,370,260,558,894,985,545,340,092,048,155,039,230,819,348,097,399,698,181,
833,369,000,492,365,881,781,602,738,596,811,398,236,016,523,023,654,088,539,
337,167,603,229,746,341,373,425,563,041,136,147,594,299,500,581,424,824,411,
179,920,987,317,197,575,080,839,485,166,654,226,510,498,071,932,384,510,865,
796,077,721,803,735,398,784,252,683,224,559,944,110,669,052,750,795,198,067,
002,665,409,642,003,574,777,907,712,955,104,304,995,665,108,175,082,817,142,
065,427,011,126,144,287,534,884,768,725,858,774,918,554,266,740,830,608,784,
684,854,975,806,254,429,990,538,985,018,910,728,455,989,809,135,182,122,309,
804,316,234,476,845,331,280,137,493,834,926,817,155,544,973,539,514,167,635,
867,957,851,637,859,753,314,324,323,557,306,235,333,341,949,550,837,125,269,
704,821,981,815,642,398,597,677,165,140,234,046,448,862,135,979,116,409,323,
222,401,406,576,659,732,019,436,823,891,347,758,757,406,824,956,809,796,161,
077,335,048,982,153,255,876,161,734,381,579,653,537,710,531,887,199,397,613,
784,665,776,707,469,251,125,281,603,455,512,448,821,484,723,854,557,626,912,
327,841,306,444,815,584,856,465,176,492,044,035,178,897,081,743,353,717,928,
332,408,031,653,402,621,669,879,723,447,805,413,722,316,263,362,277,509,263,
998,754,318,814,669,758,216,268,628,865,724,654,694,940,974,830,828,718,886,
426,663,914,914,336,892,078,272,661,170,402,035,942,371,808,963,613,225,569,
592,683,502,310,208,924,973,236,839,807,061,146,328,194,321,339,767,280,160,
836,703,151,246,357,271,953,791,064,141,861,288,988,326,455,350,005,221,388,
673,126,967,785,338,677,409,589,491,861,191,555,901,139,769,527,150,855,802,
845,440,325,270,867,602,739,687,920,918,408,824,408,560,711,423,922,830,291,
196,968,052,271,462,326,624,383,225,657,414,901,325,670,959,631,465,045,257,
114,568,981,853,972,346,544,958,318,105,022,835,625,780,014,433,633,112,046,
608,079,626,630,935,520,619,261,778,276,790,069,629,770,853,916,322,277,318,
578,881,831,216,103,642,663,036,742,213,320,123,594,520,640,982,945,862,741,
004,678,073,567,910,150,591,096,585,761,337,964,528,186,563,197,902,340,249,
391,510,154,315,857,288,073,464,067,523,416,995,364,392,936,241,563,836,036,
421,743,427,543,045,694,899,086,412,695,663,434,604,929,393,094,663,942,875,
850,323,193,960,286,073,904,509,823,947,492,336,797,998,176,749,189,181,773,
282,783,696,885,851,853,723,733,150,037,717,755,486,927,677,844,732,268,548,
460,312,194,437,978,009,364,688,477,929,990,950,754,081,258,066,946,406,342,
461,917,875,595,624,262,330,180,053,564,847,270,420,390,578,475,119,336,556,
269,778,056,733,795,094,661,361,915,716,642,353,689,906,161,406,909,307,364,
776,207,218,407,396,793,248,122,488,541,867,009,153,012,036,212,414,703,615,
126,359,546,466,934,480,008,693,732,624,675,410,487,214,030,109,677,016,739,
776,639,508,199,479,700,146,278,521,961,950,621,258,720,671,125,521,190,980,
884,552,457,327,486,823,525,490,202,241,282,547,089,158,227,881,563,110,844,
142,999,053,735,498,541,160,081,582,667,509,095,478,874,024,278,623,595,673,
660,077,868,713,863,261,830,337,126,859,085,348,949,219,542,315,430,350,151,
582,201,596,263,402,865,171,845,024,735,752,886,698,404,472,251,028,062,174,
976,911,779,015,525,220,898,055,896,036,468,517,683,546,722,134,012,373,225,
916,990,608,035,758,379,923,914,132,382,913,783,477,019,357,255,890,477,624,
286,392,448,552,183,094,330,062,804,714,688,100,845,548,441,475,851,650,167,
714,824,611,675,359,857,195,167,341,950,507,392,073,403,719,057,803,955,308,
501,220,463,283,372,927,576,023,173,501,085,576,410,675,758,256,274,781,636,
212,560,238,649,757,157,911,072,899,353,878,764,281,621,118,499,459,538,228,
985,012,053,317,342,256,397,672,940,358,198,550,366,536,132,966,773,354,804,
343,701,459,135,139,657,078,053,915,835,041,467,608,252,310,392,224,309,620,
087,756,136,358,782,386,002,860,267,000,454,790,475,439,075,387,393,708,917,
760,940,203,896,958,532,524,414,382,749,177,766,705,350,783,363,808,970,132,
118,885,177,788,347,669,308,466,684,134,430,946,403,271,267,213,164,018,651,
220,305,205,263,471,922,606,312,097,874,148,389,082,829,442,121,534,061,852,
843,877,524,381,909,580,312,328,522,662,627,626,433,429,215,889,626,948,879,
419,144,792,602,387,326,770,884,877,198,084,807,589,890,155,058,719,759,870,
363,998,173,416,854,013,441,817,624,212,679,453,581,261,998,286,983,840,534,
152,495,680,727,091,801,488,570,991,900,653,342,752,965,204,331,284,808,591,
580,472,972,370,543,825,566,185,637,746,450,992,250,044,802,155,809,837,590,
227,202,456,447,101,567,688,121,498,222,086,153,087,149,192,036,141,327,163,
814,390,261,507,934,535,129,500,300,797,500,563,105,892,570,840,808,586,719,
098,659,845,083,221,049,219,385,245,021,965,016,330,043,156,668,820,947,357,
196,328,654,394,605,828,905,774,591,651,933,700,867,513,578,224,859,190,146,
494,393,843,988,091,566,424,526,581,224,649,830,775,732,810,977,965,658,211,
732,012,019,887,242,466,814,810,723,632,642,733,458,552,752,214,445,726,058,
624,945,104,660,991,047,251,329,795,712,257,479,226,844,868,795,746,728,137,
922,945,440,017,235,556,205,123,368,512,110,092,097,417,050,975,297,290,761,
383,998,162,928,996,369,749,202,645,212,886,041,439,991,220,581,179,871,895,
154,892,870,480,653,771,801,722,922,722,873,364,049,246,176,829,549,539,093,
627,582,829,042,106,407,475,258,119,079,003,087,280,527,692,840,917,866,494,
779,610,196,872,149,637,904,392,386,898,287,420,208,336,068,585,008,682,693,
132,789,901,093,129,671,201,842,711,017,978,830,748,129,955,078,768,537,776,
885,491,578,988,751,706,515,783,056,910,070,133,387,225,258,106,056,012,406,
226,321,818,351,585,308,097,091,585,992,579,629,113,510,980,634,150,428,694,
952,619,121,506,280,958,722,143,094,236,548,231,046,080,502,003,815,946,812,
428,530,775,079,579,533,141,003,577,702,883,755,405,444,244,169,845,080,644,
691,804,032,449,793,086,932,139,607,237,709,498,585,193,563,082,050,963,066,
576,307,538,637,222,737,523,842,260,286,184,615,507,047,394,691,115,072,886,
283,262,910,317,978,929,084,338,975,788,274,866,548,652,873,397,488,905,439,
949,811,325,102,759,684,512,177,510,293,014,124,103,347,434,263,572,247,817,
058,473,807,735,587,799,794,898,065,889,008,614,265,241,115,159,412,120,948,
695,924,881,870,743,464,707,076,335,764,232,208,027,081,808,734,836,555,978,
969,492,601,582,883,939,852,015,990,092,958,650,588,322,557,683,205,521,878,
815,601,109,915,055,351,244,165,082,558,285,507,473,739,004,971,779,444,966,
649,459,943,588,770,745,264,022,082,947,497,468,327,836,820,494,607,995,188,
857,326,430,722,438,166,580,113,368,442,258,867,753,658,279,293,168,850,062,
948,617,630,803,441,033,276,419,875,140,161,899,091,365,493,580,869,769,976,
554,882,344,117,826,134,622,988,585,882,006,067,310,747,500,265,111,715,845,
024,735,870,758,789,729,179,204,173,999,662,062,011,920,624,988,972,110,224,
083,294,456,292,602,587,402,982,980,927,797,517,788,798,421,088,785,221,266,
215,708,030,643,252,042,684,136,567,781,672,214,280,832,188,627,520,707,928,
776,807,067,424,465,922,473,766,419,268,785,451,730,377,746,984,525,071,432,
230,430,254,620,087,043,949,427,739,689,850,186,659,424,866,933,633,091,953,
471,325,404,672,966,075,958,063,459,315,843,270,477,487,180,074,769,883,022,
592,737,484,364,356,810,440,894,887,689,692,267,618,732,257,517,581,397,753,
854,817,615,165,100,852,627,861,261,132,952,650,645,516,119,644,341,186,081,
357,579,483,986,904,496,986,084,845,352,897,615,387,596,548,556,743,086,521,
683,983,780,490,259,915,977,735,083,995,249,394,023,884,578,589,557,312,855,
517,511,719,955,932,812,844,237,622,661,944,738,364,300,948,663,289,922,180,
052,507,350,171,512,851,613,387,298,948,703,238,567,804,838,667,286,866,630,
770,377,770,134,905,632,334,627,809,657,005,641,353,296,027,578,949,259,902,
148,812,511,917,844,356,294,777,387,993,172,841,411,002,952,813,263,539,375,
591,823,379,722,841,272,348,679,128,498,928,905,440,730,107,938,160,660,700,
184,053,606,942,586,650,752,932,609,152,773,114,764,071,931,771,173,904,778,
768,780,824,195,156,058,919,579,109,581,509,200,016,566,778,658,859,021,886,
558,426,357,988,997,308,890,010,624,985,592,547,205,918,547,726,910,360,208,
810,216,509,405,034,682,679,764,917,341,397,334,617,724,828,479,738,259,796,
228,770,782,574,321,438,830,784,738,886,309,767,153,674,314,450,674,362,382,
904,680,960,453,055,564,531,924,670,110,856,007,711,065,914,856,914,291,867,
785,801,012,632,078,945,815,920,141,944,381,112,641,861,377,088,518,956,728,
481,479,720,144,798,174,595,014,615,733,271,972,994,518,601,312,741,638,651,
759,092,849,488,772,663,608,628,886,968,390,715,973,208,489,828,832,969,601,
640,436,811,315,671,557,590,647,018,532,057,807,098,255,922,928,483,109,642,
909,697,516,724,315,882,492,577,741,390,039,124,486,482,464,900,075,882,172,
896,162,364,143,840,665,857,033,413,363,860,373,331,815,014,648,493,500,053,
913,298,703,144,110,852,262,453,916,752,884,184,464,119,994,643,316,653,553,
641,469,592,415,393,882,642,016,409,139,238,686,217,762,698,389,137,458,871,
508,338,716,486,880,392,692,248,537,018,699,746,821,664,808,505,878,050,217,
046,389,442,697,985,334,082,861,718,449,237,780,624,125,375,388,409,287,623,
095,037,315,728,883,035,495,697,464,347,799,470,092,683,652,638,451,969,602,
584,188,063,322,999,390,759,015,326,586,551,958,153,018,916,489,055,183,725,
489,648,005,145,397,727,666,723,941,576,302,385,114,329,518,880,078,623,946,
465,091,268,855,921,267,635,017,356,467,348,345,329,751,686,177,127,550,602,
072,117,220,576,792,273,062,487,641,026,084,136,244,695,356,950,920,695,751,
297,613,314,982,783,391,572,017,548,186,696,766,052,762,884,732,043,101,246,
769,541,825,609,607,227,360,634,719,069,151,640,366,007,794,082,457,574,176,
151,641,412,932,607,003,491,067,570,712,707,383,411,167,785,290,810,522,278,
293,400,217,753,266,727,185,104,788,112,499,952,344,940,155,393,257,343,756,
452,671,873,697,422,308,258,202,158,283,113,989,566,898,506,951,157,933,990,
708,817,643,996,029,113,966,423,410,216,773,706,620,583,509,279,561,066,791,
497,143,653,637,399,826,323,736,276,547,567,581,587,030,236,493,948,664,276,
769,731,010,344,867,818,455,252,027,871,323,053,443,503,271,810,673,052,723,
861,114,108,902,133,834,476,328,628,295,412,347,822,538,121,456,681,885,544,
046,667,090,796,998,239,504,882,621,325,765,255,801,281,016,737,180,542,701,
057,601,103,089,738,889,642,531,854,016,473,915,533,901,055,355,938,864,169,
278,698,259,346,918,724,781,152,707,804,797,978,586,508,904,821,826,642,193,
730,456,121,128,453,972,903,644,913,906,769,905,349,473,166,390,811,551,712,
514,190,486,353,923,297,457,816,913,428,945,384,042,822,975,941,438,283,295,
897,664,950,195,552,919,555,712,903,981,426,207,735,113,911,727,904,332,331,
363,227,090,637,670,386,072,499,010,037,161,192,223,046,381,788,642,497,010,
475,559,313,026,635,933,159,593,934,221,210,270,882,112,855,668,780,451,166,
155,332,178,755,797,612,166,162,542,567,177,640,489,226,974,188,320,905,473,
812,166,311,748,287,304,470,001,741,720,300,599,120,415,439,748,820,159,820,
554,354,586,909,691,534,297,094,491,519,806,451,467,186,173,733,454,745,416,
626,057,043,234,935,996,706,369,134,874,979,098,955,864,943,823,852,263,520,
313,571,344,038,679,874,926,828,428,151,807,739,595,000,829,707,391,405,675,
951,259,422,796,045,174,009,274,607,717,736,020,641,063,196,968,621,105,447,
729,402,527,008,311,129,021,152,063,777,239,281,489,592,925,423,579,222,115,
011,112,579,653,744,677,147,123,511,612,988,742,391,621,763,752,324,882,774,
828,826,609,646,357,032,992,488,010,536,065,799,201,982,256,067,015,286,161,
682,068,143,144,199,706,330,229,129,697,135,202,939,827,679,395,223,574,368,
553,483,723,209,264,497,775,042,706,687,551,662,172,201,664,298,669,284,149,
468,813,306,040,261,792,159,018,373,180,198,472,158,055,386,225,872,464,499,
203,186,657,405,391,757,761,419,133,903,980,104,519,130,079,771,128,491,380,
861,668,766,714,099,024,729,420,652,484,371,874,856,559,660,192,853,137,316,
874,610,062,081,742,024,001,852,983,527,444,529,522,228,665,556,796,142,361,
736,820,919,567,256,279,753,055,940,919,102,588,930,295,278,295,205,396,158,
851,628,435,256,499,584,625,402,537,016,604,537,485,969,729,603,305,681,518,
715,648,881,448,257,640,119,650,119,803,595,522,319,529,661,377,151,970,576,
297,385,579,581,881,853,550,735,037,195,169,700,632,374,635,214,369,830,302,
036,902,630,511,850,025,926,932,906,375,322,297,074,078,117,534,199,210,176,
175,322,320,504,021,687,741,281,400,117,617,889,619,540,401,756,764,629,552,
851,603,682,318,455,902,111,877,985,659,491,530,518,650,502,225,031,933,464,
010,703,512,762,316,115,599,133,097,160,567,092,643,345,717,567,107,855,507,
712,697,451,363,475,067,599,267,372,141,558,125,654,779,826,714,995,878,722,
631,759,838,671,370,660,081,039,909,978,141,811,688,013,869,556,853,672,602,
661,658,292,853,015,101,383,280,383,622,766,771,281,991,916,878,961,670,214,
886,731,063,196,937,577,878,955,207,433,970,357,137,595,036,539,163,139,444,
201,104,717,552,670,293,292,035,680,555,370,601,533,168,456,729,806,088,435,
078,910,120,293,216,055,696,313,103,665,853,455,424,543,187,245,737,137,481,
222,004,072,437,667,419,360,519,870,449,756,281,770,583,132,276,160,107,215,
757,071,606,792,284,244,392,314,933,524,529,527,894,917,037,259,858,098,354,
195,085,800,998,843,668,954,117,527,074,498,464,583,860,473,623,880,706,043,
452,004,839,807,813,812,186,025,713,709,684,284,298,938,753,908,297,670,328,
502,102,554,225,515,030,868,811,821,837,493,204,685,319,789,496,767,860,236,
665,910,330,043,242,149,071,509,545,376,370,908,242,802,231,764,700,571,698,
057,960,453,359,402,763,587,023,150,614,567,137,506,120,131,641,199,774,109,
611,557,416,577,463,323,363,438,317,176,964,405,411,108,644,876,044,430,930,
472,182,192,941,366,822,908,127,531,387,660,679,164,201,050,192,221,805,299,
828,894,177,551,616,087,026,345,083,183,422,793,894,340,932,351,553,135,490,
579,741,700,644,667,250,718,355,778,970,549,498,519,661,541,799,817,435,059,
940,404,021,589,403,097,515,346,920,989,935,076,885,606,450,658,006,701,175,
887,663,092,677,443,597,760,782,712,335,785,791,158,968,716,638,887,696,500,
570,971,805,914,155,411,893,132,426,678,742,242,441,154,001,139,891,168,919,
600,692,671,828,145,879,396,527,081,380,605,468,575,074,693,513,042,781,936,
454,002,364,443,751,345,585,130,748,691,831,460,395,101,644,476,590,180,024,
538,730,498,264,244,923,221,013,067,653,493,062,943,098,048,544,394,187,763,
428,397,025,253,849,051,927,713,400,731,800,824,270,315,271,818,387,068,852,
456,583,209,184,909,821,905,813,595,768,813,165,065,566,049,152,066,045,667,
549,815,620,461,168,353,788,675,706,089,935,077,411,389,359,857,808,764,086,
818,079,834,580,528,619,296,456,225,840,972,524,777,205,110,056,646,724,418,
827,231,177,907,266,923,509,627,573,944,405,200,061,586,243,452,168,215,748,
607,531,984,388,010,529,994,459,860,572,583,362,805,704,098,131,820,921,715,
283,644,310,970,320,918,354,135,737,142,830,479,612,157,202,830,665,870,738,
413,705,945,691,760,703,876,518,550,165,999,779,155,836,544,484,344,510,108,
480,355,533,364,911,935,921,269,282,833,660,972,030,451,834,974,651,014,725,
744,192,885,872,804,258,594,571,431,990,334,796,647,201,078,066,114,005,910,
571,762,137,190,867,265,180,667,250,034,321,231,693,553,752,249,525,710,759,
266,852,311,937,598,317,217,144,160,208,510,048,168,165,760,038,304,477,742,
132,956,871,412,752,226,563,412,346,508,873,534,434,319,534,312,097,016,713,
103,448,668,541,593,406,633,453,817,221,625,033,292,760,912,539,916,553,657,
544,961,997,640,816,912,118,032,482,911,691,533,184,663,149,830,918,172,072,
481,441,719,850,608,045,081,679,689,384,775,287,727,083,899,218,173,724,902,
056,973,198,558,896,846,881,653,633,981,331,529,315,866,508,246,378,072,956,
572,382,411,779,195,579,218,177,493,305,858,973,954,155,154,683,782,475,611,
416,506,843,131,002,886,357,096,916,562,877,113,760,683,427,723,530,754,760,
243,016,302,155,585,535,345,824,382,969,541,955,335,743,364,974,961,118,464,
900,499,197,312,138,608,919,953,199,751,727,900,379,439,615,326,647,130,315,
600,555,698,574,497,286,529,652,592,700,428,345,669,042,187,979,979,557,870,
296,134,729,561,222,805,508,739,997,213,545,810,609,337,428,814,841,182,206,
796,592,397,628,517,381,095,193,515,624,272,521,691,531,581,541,855,375,116,
846,914,530,193,297,445,699,434,558,914,706,213,523,846,679,111,896,384,379,
130,287,192,634,993,339,780,181,868,135,640,505,066,396,751,538,438,359,839,
831,190,671,838,948,948,294,191,672,362,985,378,899,473,658,474,182,305,576,
513,858,839,627,451,978,579,620,981,957,659,614,552,652,622,002,423,059,772,
617,857,648,951,301,078,141,800,818,645,787,395,798,366,288,083,502,605,656,
231,679,500,847,044,503,269,177,569,130,416,293,135,653,188,319,837,375,087,
983,092,502,002,998,122,041,026,423,438,823,054,726,210,259,123,308,891,281,
162,249,336,089,507,507,553,710,821,849,622,300,880,626,220,887,033,043,289,
886,384,288,825,196,413,997,871,169,084,766,973,105,254,020,811,213,431,571,
043,085,310,618,383,845,913,311,252,470,815,446,859,447,944,017,417,370,578,
087,139,026,539,284,166,403,524,611,901,498,430,872,194,022,138,454,069,777,
709,757,522,125,369,779,918,181,662,314,721,338,181,983,921,350,424,465,134,
458,159,812,063,726,368,805,428,797,378,023,209,178,140,560,467,143,186,205,
624,415,114,732,130,529,012,141,981,352,632,425,565,439,307,199,269,975,020,
175,710,705,359,986,002,268,291,047,411,749,146,125,642,685,440,748,834,461,
094,030,313,260,882,707,905,241,093,812,369,303,163,593,604,954,693,059,788,
992,021,787,241,359,485,101,229,273,383,915,081,545,189,483,607,927,268,801,
888,993,958,847,355,800,820,903,159,377,349,886,416,304,252,018,237,362,625,
340,888,119,846,191,264,512,984,803,369,513,812,524,757,659,616,158,846,130,
672,849,694,315,451,330,035,651,059,137,915,193,410,529,726,877,336,996,106,
128,111,551,161,717,680,391,566,353,365,265,092,290,578,862,142,241,621,187,
075,081,981,684,702,765,701,553,266,217,250,246,671,312,044,304,506,277,958,
469,986,477,040,829,799,782,715,255,227,878,166,997,342,545,540,332,679,124,
507,719,899,445,561,781,816,677,806,959,385,612,257,308,307,222,641,236,138,
882,985,155,740,802,569,776,631,735,043,052,273,103,381,380,495,591,140,643,
551,488,691,549,754,288,047,858,759,356,803,449,581,634,499,350,058,463,570,
906,621,672,400,615,454,517,336,876,184,929,808,819,157,878,784,972,921,317,
897,266,627,340,596,622,715,937,478,044,242,646,356,089,889,030,366,496,419,
418,835,729,229,824,464,018,647,696,822,795,634,046,910,328,840,758,933,662,
977,277,703,552,968,014,989,472,695,299,525,867,647,515,808,995,639,491,321,
276,751,292,034,015,682,449,869,645,603,602,246,335,850,784,694,765,722,927,
998,143,962,130,405,060,634,006,969,239,835,505,031,073,110,891,489,703,486,
084,801,548,660,960,300,969,722,769,203,527,005,262,645,461,911,396,820,466,
295,535,465,355,546,556,315,806,511,673,720,475,923,524,476,080,838,109,003,
535,016,198,553,539,692,917,587,567,681,663,061,558,522,093,319,243,056,017,
853,028,229,275,228,102,282,701,757,692,229,589,667,850,191,858,403,498,628,
897,280,007,120,549,943,912,505,121,279,437,070,844,660,237,045,886,068,890,
978,274,358,327,740,789,580,625,721,823,369,986,382,581,403,249,345,212,806,
544,536,110,327,776,784,932,672,559,218,819,058,180,739,692,952,852,667,789,
972,501,103,761,322,468,788,346,747,669,555,665,366,203,788,944,724,556,271,
592,047,999,228,434,229,593,292,332,435,082,047,562,257,098,375,238,347,067,
274,186,134,157,345,738,143,828,342,697,540,176,147,233,117,313,118,155,529,
963,705,167,814,510,733,038,536,837,204,770,892,060,664,708,181,077,552,444,
758,458,977,233,108,450,572,363,725,307,403,904,784,723,704,310,108,175,954,
181,735,597,235,306,553,484,256,839,936,156,930,645,091,640,806,091,817,541,
555,576,025,293,005,393,855,657,323,857,239,852,867,222,842,875,463,481,740,
560,745,590,030,151,336,761,661,871,477,549,381,804,979,020,417,972,854,217,
942,892,853,920,176,938,431,498,205,542,471,686,716,939,534,272,188,380,515,
595,411,965,810,705,230,606,752,684,549,572,812,896,659,184,508,059,184,438,
798,156,818,684,774,889,596,577,183,391,169,764,251,619,172,530,387,601,266,
686,093,545,586,911,088,275,919,355,423,320,418,051,736,622,022,137,115,525,
881,272,258,871,204,224,094,232,372,388,801,579,943,363,181,942,717,152,838,
837,637,341,051,139,019,155,752,695,849,834,970,048,299,623,028,986,616,860,
726,688,808,748,322,946,854,952,149,780,843,661,895,617,908,842,013,116,591,
054,063,429,891,040,860,140,745,043,010,179,568,724,449,504,248,556,077,300,
638,964,095,969,824,358,406,849,092,050,300,890,942,576,802,504,698,213,291,
621,947,618,320,954,141,499,457,389,873,181,475,357,482,255,198,876,533,319,
231,467,698,260,772,936,308,180,134,499,252,338,400,524,090,041,721,833,256,
305,963,620,583,154,514,494,601,087,981,818,975,933,843,623,155,983,307,762,
163,087,247,677,821,115,954,043,271,945,182,897,317,799,644,314,703,264,144,
494,076,277,853,305,631,831,519,533,209,817,692,741,105,767,385,391,338,822,
450,972,337,050,542,721,213,678,911,445,096,275,030,908,187,489,702,576,088,
661,250,850,803,945,648,227,097,136,357,159,831,485,913,220,268,520,401,293,
139,414,495,764,297,656,134,505,093,508,456,490,888,116,179,736,325,828,674,
270,128,602,921,801,222,548,928,112,307,955,624,053,987,140,933,657,906,517,
343,643,216,984,324,922,029,291,342,718,780,667,611,939,719,995,831,142,537,
094,172,197,723,691,476,486,037,852,100,305,049,992,044,237,817,749,962,653,
486,138,421,263,200,248,144,387,718,262,479,643,193,868,541,036,098,573,998,
840,848,320,095,936,604,930,949,696,727,888,239,924,632,452,811,561,242,046,
317,473,018,481,580,342,515,339,628,223,490,150,212,647,023,089,651,061,036,
388,922,208,194,422,632,426,307,661,506,982,121,846,716,068,885,542,805,766,
514,628,628,151,453,775,340,701,277,938,326,041,334,403,997,779,521,371,735,
514,358,197,704,792,945,141,330,788,750,362,703,563,534,235,244,259,682,904,
094,698,674,782,720,024,512,682,342,964,583,504,153,111,319,056,301,155,599,
378,697,315,726,405,889,046,206,778,662,266,106,389,357,253,410,802,151,504,
279,453,408,768,135,545,934,719,212,862,014,950,253,307,729,671,556,721,490,
121,789,669,198,129,741,407,525,639,705,311,541,960,460,155,402,871,436,973,
126,767,274,838,217,746,315,410,401,120,969,691,995,289,772,298,239,158,309,
967,344,802,402,152,691,320,485,290,405,175,514,304,410,478,807,457,433,120,
585,194,100,272,094,308,259,836,215,533,600,846,673,554,887,835,421,058,043,
145,420,534,553,481,975,790,713,534,897,781,010,607,847,516,605,116,409,449,
962,145,958,908,005,485,013,803,010,350,875,259,407,871,455,620,629,006,738,
383,140,226,035,990,419,637,949,649,337,375,871,272,187,150,201,496,133,609,
525,225,283,886,586,883,148,731,658,870,637,304,703,547,597,002,012,821,812,
187,893,378,653,285,165,274,450,997,528,551,192,492,881,233,729,740,007,158,
594,036,080,293,672,809,892,015,523,709,912,461,057,290,372,337,027,092,590,
338,173,495,722,192,057,062,805,660,114,207,799,263,512,485,212,579,446,391,
524,711,858,742,848,007,766,794,867,522,487,192,340,975,359,193,581,095,734,
392,134,315,241,651,125,856,153,143,836,360,278,422,200,089,546,164,121,998,
469,926,950,210,334,335,095,714,903,857,437,149,914,308,958,035,397,593,803,
429,867,815,919,659,811,086,674,291,554,302,695,431,074,249,207,018,069,540,
570,068,153,293,631,130,579,994,465,458,139,297,212,401,652,937,521,437,282,
260,794,180,697,541,193,025,654,428,570,297,019,751,364,851,243,933,542,548,
430,172,580,635,781,606,564,959,441,195,464,296,823,109,394,009,242,620,815,
489,313,638,146,926,484,256,318,652,814,020,846,269,241,852,088,593,250,475,
654,271,990,000,332,049,480,502,853,498,232,946,200,439,000,856,185,589,563,
741,054,075,223,024,564,736,940,822,277,259,976,776,668,206,350,384,540,891,
735,215,017,742,323,706,533,135,225,811,394,017,588,734,612,335,588,730,150,
175,732,588,781,581,263,051,021,292,133,598,402,059,918,597,040,485,730,754,
704,473,131,888,491,527,740,099,597,298,651,346,834,616,587,029,822,258,606,
886,637,008,034,059,213,317,339,580,701,583,232,785,025,474,028,377,562,662,
617,716,362,404,695,085,014,713,347,357,528,496,746,479,271,385,974,821,150,
117,308,884,937,806,288,029,372,130,921,859,089,261,527,281,244,838,575,577,
279,127,608,164,423,505,700,586,090,254,997,814,984,268,710,375,703,557,554,
558,862,795,929,970,681,410,825,291,543,576,080,542,089,431,672,237,749,611,
732,297,606,999,813,007,837,802,930,764,955,175,646,418,792,178,152,293,336,
452,736,046,810,698,522,940,785,914,549,692,560,034,720,533,642,440,046,685,
461,041,316,028,130,785,162,258,538,528,214,070,498,882,250,034,971,724,933,
731,583,412,396,493,370,638,052,632,171,482,235,100,028,111,160,136,960,163,
217,842,809,916,213,434,115,968,194,490,233,696,165,591,929,442,190,824,148,
432,628,630,906,635,321,051,630,400,184,868,723,571,948,461,842,146,025,662,
505,189,540,506,456,693,356,392,992,716,130,015,952,667,949,322,370,136,567,
665,456,180,495,800,257,621,135,143,219,921,403,108,733,110,721,648,577,486,
196,352,384,453,231,209,383,843,351,024,068,382,918,954,178,809,346,825,337,
377,896,969,203,097,254,130,383,433,351,438,222,388,311,114,452,987,639,741,
308,758,458,385,046,701,474,294,737,837,624,300,386,928,530,500,410,750,514,
881,799,561,786,130,371,958,618,103,971,829,422,712,021,438,835,801,569,428,
957,438,069,408,575,548,922,406,337,723,068,009,820,383,137,928,954,190,248,
733,062,240,700,498,032,491,534,281,217,562,349,912,438,493,518,456,965,977,
846,181,730,521,052,634,700,857,546,603,718,655,594,215,847,785,318,641,363,
236,031,275,322,348,781,693,526,239,949,579,347,719,428,516,641,220,406,472,
547,799,143,999,222,292,217,756,098,507,491,884,624,038,971,026,244,884,384,
668,398,258,329,218,819,985,027,687,460,113,644,718,351,702,463,253,833,142,
409,338,998,127,776,475,636,025,334,587,433,228,711,616,205,902,322,688,774,
293,003,458,757,779,193,080,527,247,959,450,745,703,049,351,157,581,114,511,
642,749,589,572,082,503,868,498,701,781,697,304,569,400,608,883,523,566,254,
553,026,970,648,542,507,848,137,161,045,351,441,029,634,231,639,102,827,893,
808,742,219,996,525,186,841,964,845,337,584,667,740,811,609,478,595,608,032,
127,155,864,655,066,326,482,941,228,104,266,520,320,762,570,181,341,051,203,
280,705,104,802,221,728,336,546,670,092,329,784,638,616,322,005,426,314,817,
625,832,648,974,280,420,184,115,454,061,752,353,586,839,042,425,873,497,649,
121,555,093,991,109,089,459,402,453,405,165,967,729,677,550,789,111,915,721,
145,706,227,069,347,805,737,630,253,759,471,906,168,903,003,641,702,478,050,
511,773,635,087,883,162,826,179,476,665,962,244,473,032,391,132,649,329,213,
203,762,011,069,927,883,894,274,943,720,096,070,912,903,137,990,844,734,320,
669,389,308,342,428,900,248,418,204,667,714,200,009,908,691,102,683,953,318,
009,287,810,685,104,910,872,906,994,928,090,551,679,292,094,743,027,789,505,
814,872,368,227,341,798,925,234,941,295,954,237,704,628,223,549,328,802,647,
251,555,511,786,555,583,340,879,883,681,963,759,175,102,533,483,358,756,861,
068,416,640,148,214,388,572,665,437,418,851,459,351,621,500,554,856,700,951,
146,788,873,733,692,849,211,922,742,499,926,628,481,191,686,834,046,672,689,
423,414,725,852,091,068,387,361,529,437,497,524,505,995,348,206,182,164,395,
074,223,176,934,869,983,954,683,377,588,266,934,760,498,252,928,303,101,536,
317,505,938,859,870,473,644,748,890,318,810,330,538,385,675,058,752,013,391,
569,732,628,785,513,843,005,236,985,334,698,883,724,996,909,235,665,034,001,
718,736,867,300,514,013,475,100,887,438,319,391,470,510,943,644,516,458,382,
181,323,494,403,855,315,986,472,947,094,770,592,061,904,587,728,480,816,079,
939,910,166,581,314,793,677,235,804,505,603,828,103,337,528,509,255,731,344,
072,963,836,325,335,485,510,714,343,308,811,386,348,423,552,464,971,763,538,
701,496,770,344,193,372,364,920,684,802,604,480,866,265,015,810,368,662,442,
737,626,488,489,711,417,431,118,509,486,425,000,093,923,143,990,178,470,681,
231,976,544,659,821,442,245,499,921,720,482,755,810,198,919,593,542,564,598,
279,790,066,895,940,657,249,693,163,748,639,436,940,531,961,692,268,812,956,
244,431,099,251,382,150,694,019,608,726,117,147,333,199,328,413,566,313,212,
558,089,490,566,550,600,494,834,129,859,872,112,994,099,269,758,219,420,061,
683,255,861,799,146,878,851,292,808,630,468,287,077,946,287,982,058,104,756,
100,836,992,784,352,952,229,994,921,889,649,882,141,049,993,372,122,627,882,
582,791,038,797,121,266,478,823,798,970,992,671,160,153,443,566,561,324,677,
379,922,771,644,326,352,947,584,211,903,015,581,200,103,306,165,162,736,758,
468,502,910,649,611,243,844,298,481,832,722,808,160,136,481,725,710,746,371,
703,995,631,471,404,976,234,819,595,680,756,445,759,422,138,011,681,082,029,
383,453,234,280,825,601,922,765,332,792,859,244,181,123,018,983,232,056,929,
613,600,178,320,881,456,791,503,914,861,361,290,626,208,305,704,439,594,597,
614,177,646,919,359,673,069,958,199,773,734,255,100,762,197,447,121,176,634,
239,252,064,911,429,823,367,309,369,917,320,129,663,890,314,647,578,219,547,
054,619,827,610,272,200,168,290,550,959,952,284,097,472,206,995,253,260,278,
985,537,426,467,126,844,271,238,775,333,358,854,677,517,851,140,380,420,441,
383,678,877,184,175,700,970,641,739,083,636,782,167,674,143,146,935,045,042,
594,915,174,101,845,958,067,964,371,788,281,937,536,164,835,642,001,061,661,
727,068,503,493,561,730,653,545,049,756,184,556,659,868,776,775,178,168,842,
852,532,938,562,957,867,116,701,682,610,103,793,885,735,920,004,872,814,288,
719,127,635,889,117,446,424,922,621,249,310,473,838,043,101,297,736,880,270,
080,452,091,897,227,402,400,103,442,266,302,514,342,256,966,868,721,923,582,
624,201,543,119,004,428,665,120,439,219,772,270,165,613,750,186,938,465,225,
748,514,422,944,765,795,630,485,112,584,715,814,121,131,818,466,096,724,217,
400,545,339,356,129,325,124,190,512,799,342,365,137,672,439,542,384,790,190,
545,299,004,474,177,581,523,766,053,887,687,723,960,706,816,205,178,375,678,
781,269,630,744,585,783,391,150,146,725,188,521,632,298,212,042,689,384,976,
617,513,426,491,471,080,265,894,429,067,493,133,612,779,591,415,684,288,347,
810,238,496,045,599,022,028,704,356,472,882,675,226,711,952,178,001,627,184,
545,195,038,835,757,391,371,969,118,266,031,521,543,165,686,939,172,891,970,
130,484,925,561,950,879,541,852,104,831,051,172,049,803,190,022,004,306,240,
358,619,995,752,496,324,242,820,071,218,510,325,865,159,584,918,648,385,749,
070,065,120,772,193,319,211,755,054,310,423,695,348,922,170,061,863,820,730,
232,317,734,073,850,045,202,616,953,533,501,731,124,191,284,636,943,053,132,
072,115,289,856,119,543,525,983,260,122,546,026,892,445,591,588,232,117,332,
309,284,887,050,118,443,053,303,716,127,128,909,661,588,221,229,217,796,355,
348,816,768,709,665,969,494,359,303,171,827,821,268,399,190,215,132,620,082,
204,448,429,717,466,679,137,779,457,088,175,984,953,562,309,410,469,514,036,
121,567,322,824,043,201,858,326,877,499,023,138,104,349,323,140,904,838,914,
282,054,379,800,773,775,979,895,946,976,506,372,454,047,794,040,954,028,484,
123,356,381,805,388,003,365,262,384,332,119,247,648,488,598,189,955,770,663,
517,109,543,063,447,911,582,483,978,065,768,559,350,927,429,778,268,238,068,
871,091,941,062,940,417,936,711,035,568,979,244,599,516,640,202,180,202,544,
884,926,159,574,794,279,010,723,995,790,626,540,014,825,821,132,284,945,193,
024,326,946,691,033,063,483,802,507,746,522,017,712,074,831,832,892,304,926,
740,250,425,270,478,824,764,208,289,209,899,862,975,029,234,800,211,241,393,
182,929,256,054,403,159,694,294,301,244,125,346,766,462,393,175,838,810,285,
335,025,962,483,290,352,787,675,163,991,278,511,882,191,684,936,536,394,914,
144,517,873,737,819,284,006,181,163,891,651,145,794,170,271,577,838,537,826,
909,962,746,476,562,484,711,552,234,040,073,796,395,887,158,771,451,982,229,
316,103,606,138,433,473,736,901,536,761,255,804,324,080,621,076,151,709,837,
741,935,049,045,600,899,063,379,573,783,453,827,478,625,992,165,622,796,650,
776,734,450,122,265,586,510,352,233,065,310,865,537,186,639,993,502,249,967,
656,615,617,061,278,452,247,849,268,257,088,241,705,093,556,624,843,775,111,
069,903,504,294,263,218,835,509,073,128,146,141,447,646,129,521,921,868,816,
201,122,514,672,411,585,695,230,309,779,508,033,243,501,533,333,671,396,217,
590,901,101,062,164,244,952,788,638,029,404,386,807,430,023,855,854,606,976,
148,055,913,300,133,938,046,036,498,239,697,694,862,429,406,831,207,003,424,
271,022,518,494,598,688,976,939,949,587,186,190,868,240,596,635,577,926,931,
665,020,509,976,521,181,835,017,662,524,199,406,965,720,202,979,622,031,335,
378,201,478,867,277,581,092,956,592,836,269,793,285,130,919,480,221,089,818,
997,140,124,923,070,551,016,140,853,979,871,637,640,279,312,982,869,121,451,
990,595,389,233,136,173,716,775,258,376,125,302,495,659,040,130,471,246,893,
945,614,233,621,542,577,769,422,890,084,431,840,910,883,762,571,107,278,034,
897,622,920,985,180,586,246,302,768,237,920,796,380,587,884,436,478,659,810,
752,705,681,946,237,041,898,809,075,492,830,299,227,966,680,414,301,814,360,
712,428,670,819,829,231,258,610,429,596,686,627,620,753,662,438,935,624,656,
786,739,348,978,965,101,650,678,942,981,196,334,683,611,861,933,839,018,732,
183,819,965,607,840,777,519,840,150,019,480,461,991,334,019,319,529,686,922,
081,528,771,935,185,344,036,054,877,396,949,280,442,287,847,841,986,622,830,
568,913,987,949,924,940,239,529,626,522,658,071,670,632,512,694,132,854,059,
306,623,792,044,007,625,838,259,440,972,341,109,013,610,159,789,071,708,296,
037,086,929,995,030,268,799,956,110,849,406,457,969,570,240,362,651,443,123,
416,600,612,656,703,041,864,678,081,415,993,882,289,854,881,593,266,678,978,
089,028,943,321,983,077,336,458,240,151,782,338,765,791,816,721,224,020,289,
314,484,272,939,852,482,439,970,972,142,433,597,159,608,305,545,499,061,931,
814,779,917,707,919,814,091,515,751,072,688,568,018,803,915,223,579,241,633,
870,811,456,509,316,258,558,074,967,646,990,175,005,483,205,774,625,066,535,
546,548,463,543,927,099,771,158,876,279,183,892,680,167,024,659,870,559,084,
759,853,132,952,590,808,021,195,327,785,964,900,089,593,055,463,250,101,381,
595,985,519,318,163,728,178,787,029,712,723,852,596,923,589,862,803,753,098,
503,143,220,658,105,272,117,653,898,401,284,937,283,176,196,455,226,519,147,
776,714,920,261,908,935,786,386,664,621,937,995,992,787,018,071,933,001,771,
824,317,045,880,513,217,196,878,538,196,316,877,227,888,352,634,798,215,219,
681,504,852,482,573,014,680,991,574,495,842,737,591,296,476,522,060,464,168,
040,751,342,038,157,035,298,291,539,747,023,036,702,403,358,530,727,076,835,
262,254,501,600,188,244,861,881,637,312,458,051,727,887,003,958,826,238,196,
160,411,304,925,584,914,890,192,861,376,561,560,357,850,087,396,830,822,132,
713,740,782,547,970,416,786,583,426,309,812,058,568,195,072,580,082,181,575,
545,846,485,007,840,711,965,450,314,675,546,332,445,247,474,033,031,178,000,
001,039,523,027,796,277,552,016,566,519,250,199,819,154,223,001,280,864,787,
638,783,115,133,886,605,094,279,090,145,398,716,736,959,386,215,183,381,589,
943,643,917,116,099,106,673,774,715,274,625,545,746,128,995,021,189,305,303,
964,980,466,054,400,397,408,877,445,210,317,483,650,975,184,690,866,213,943,
685,255,471,513,955,231,908,834,728,546,000,042,985,725,258,046,929,914,230,
388,216,638,251,396,140,092,783,118,251,503,725,938,634,103,807,293,605,348,
691,841,158,088,133,471,113,730,970,509,447,275,909,695,954,308,121,743,315,
164,233,979,569,091,883,335,244,258,809,009,835,522,077,606,415,077,283,949,
246,083,875,446,582,592,395,254,678,493,090,247,103,736,605,538,484,213,067,
848,053,479,458,435,148,212,420,360,790,176,803,193,283,674,087,771,972,773,
059,161,810,780,427,130,865,503,621,282,902,939,778,041,842,222,669,667,448,
190,008,861,076,168,101,922,969,192,438,249,576,750,636,266,206,510,147,063,
484,829,068,640,479,356,880,900,637,798,965,859,164,864,843,679,820,519,530,
692,816,385,020,479,474,527,158,177,937,965,719,666,155,514,258,535,846,765,
153,136,606,407,021,567,724,717,013,938,603,290,349,668,174,051,904,844,638,
496,752,095,155,171,588,624,181,256,072,607,702,715,248,443,370,504,708,954,
479,253,539,751,170,566,472,382,438,861,972,362,564,404,088,460,398,321,192,
587,571,266,288,679,895,021,763,489,433,160,877,431,342,270,827,366,020,646,
435,600,954,032,530,169,299,563,546,148,731,970,640,444,957,160,724,824,110,
156,288,764,271,189,079,647,637,618,551,746,915,958,077,178,741,274,421,831,
832,461,701,980,409,394,000,483,006,931,287,320,252,318,333,574,946,484,584,
107,356,515,096,080,776,833,028,836,372,687,814,080,297,466,008,105,241,358,
872,425,034,442,838,082,252,583,360,278,537,479,208,734,219,535,869,594,399,
891,238,066,905,731,825,569,540,433,155,657,892,838,102,179,574,820,720,329,
279,329,653,816,443,103,488,428,467,541,383,333,833,584,470,977,727,759,479,
656,482,164,027,174,216,601,654,105,902,478,627,552,075,836,902,415,895,699,
532,948,355,445,557,708,878,043,825,906,363,496,354,223,297,667,326,904,959,
461,367,037,650,278,199,113,082,154,077,974,304,718,237,937,682,613,274,070,
590,754,843,619,292,954,412,993,661,017,024,688,497,071,433,538,604,375,388,
876,341,645,479,841,070,087,166,394,826,354,651,796,739,482,092,374,526,094,
817,825,799,780,930,850,389,343,702,921,390,660,659,066,956,503,474,421,233,
895,090,592,930,966,962,856,105,246,094,002,576,421,337,992,664,814,528,176,
197,461,591,842,385,924,952,342,747,421,258,462,969,343,056,431,605,392,060,
056,611,532,329,594,248,219,051,104,608,192,444,210,436,855,078,538,274,463,
437,869,469,957,466,821,550,619,981,973,738,173,371,789,961,278,591,042,991,
204,755,843,575,488,229,853,602,898,159,984,447,561,247,728,143,186,773,986,
154,004,113,328,917,693,041,491,389,129,395,534,208,730,896,248,086,226,338,
226,567,318,260,884,446,573,310,967,371,836,359,928,995,493,921,134,258,406,
075,403,869,687,780,895,088,171,139,185,188,785,882,550,196,443,524,748,405,
541,879,086,129,941,679,383,763,663,321,786,519,816,554,116,897,775,663,262,
943,091,437,002,806,892,219,151,086,420,260,832,857,750,977,624,576,443,924,
535,330,275,271,194,615,301,733,818,969,882,497,510,521,298,456,301,225,268,
791,522,626,061,570,735,738,542,786,744,809,999,289,357,424,985,765,956,254,
900,664,841,973,135,875,719,999,104,404,728,106,527,561,227,408,561,117,182,
047,019,257,766,685,620,300,091,756,870,723,323,253,475,924,258,066,616,641,
394,335,013,246,530,167,222,158,763,630,991,241,826,839,987,231,747,312,165,
768,109,513,806,772,752,662,627,662,253,583,125,907,778,261,875,206,960,307,
316,132,644,067,672,054,447,033,930,300,472,709,073,718,660,044,384,489,477,
102,592,773,257,068,287,158,736,492,824,138,682,841,289,601,712,425,744,536,
953,493,169,709,210,659,533,034,298,678,400,470,803,999,782,429,790,309,335,
515,735,280,742,686,764,446,743,880,613,274,252,138,132,260,890,091,091,123,
346,766,436,434,104,615,114,682,514,881,846,031,979,820,189,686,318,857,614,
750,083,205,815,374,159,340,661,358,389,568,121,510,662,599,099,551,945,482,
922,765,220,234,665,786,194,228,219,888,029,625,681,172,908,136,571,810,174,
336,255,219,398,698,914,503,647,795,861,554,660,689,339,737,613,630,954,419,
142,778,763,070,916,904,073,859,217,287,005,964,585,701,975,284,989,502,072,
433,321,052,917,359,216,401,505,316,918,413,914,700,908,519,714,565,627,673,
238,791,793,030,103,763,160,235,310,079,114,648,461,703,189,927,843,146,827,
164,759,366,064,528,944,681,033,036,221,777,714,568,997,536,824,939,817,328,
268,887,054,153,131,543,039,131,458,312,024,789,364,498,374,070,020,051,273,
674,744,319,266,219,572,153,844,667,986,646,264,866,188,484,850,775,747,867,
939,377,590,252,996,720,898,640,988,230,582,126,709,414,459,322,056,851,698,
988,797,326,767,187,338,578,478,167,845,161,016,301,398,996,869,401,852,862,
082,850,774,834,162,128,783,038,112,496,243,904,001,769,930,049,564,025,387,
939,832,498,209,278,447,916,746,621,100,121,419,022,305,608,066,364,630,892,
716,766,559,703,572,840,225,260,494,223,496,134,578,028,372,051,444,741,461,
982,605,253,147,119,122,053,118,049,900,809,165,363,316,973,628,707,429,604,
705,905,192,234,162,487,683,652,732,988,969,829,739,537,275,106,325,607,506,
873,547,368,998,362,232,444,068,946,323,722,428,359,451,287,930,462,601,170,
839,500,631,936,893,956,385,078,217,569,158,807,477,263,087,817,988,844,796,
587,938,821,280,577,388,656,303,599,585,330,081,298,044,644,605,339,521,278,
663,099,653,971,116,509,560,955,822,966,139,609,074,611,116,024,704,827,508,
479,936,451,998,379,458,093,020,844,551,335,923,508,997,208,481,295,248,748,
449,084,987,591,259,771,471,552,875,773,263,013,297,592,889,150,268,766,126,
293,181,161,473,780,443,092,511,422,317,432,638,786,365,845,471,572,620,104,
825,030,221,240,005,866,185,263,441,968,180,669,187,840,674,389,361,598,600,
924,127,228,543,331,228,360,907,596,051,723,715,102,468,972,324,934,581,466,
450,328,545,862,859,184,525,607,613,153,543,892,686,575,474,981,929,527,798,
486,380,104,508,412,214,161,474,562,517,403,754,595,403,005,786,460,679,810,
668,614,185,959,773,579,121,133,104,114,937,717,513,557,937,876,841,984,084,
490,730,887,482,394,661,880,890,297,822,533,426,050,999,013,138,438,299,930,
129,517,742,323,061,989,125,941,987,839,701,755,146,700,112,796,494,783,005,
750,953,193,250,908,452,701,918,716,297,216,963,644,430,971,813,831,794,403,
365,663,303,384,156,355,123,629,936,997,404,103,352,385,098,980,914,953,372,
223,176,457,087,261,751,142,151,527,922,079,951,332,068,917,768,481,479,153,
497,353,768,188,276,257,671,251,490,811,913,908,298,217,591,612,613,474,107,
944,461,470,535,992,876,860,350,439,940,146,531,376,523,866,338,791,103,611,
294,134,275,976,635,441,186,005,759,546,070,191,538,478,052,639,487,411,572,
867,773,766,779,771,032,413,318,484,952,893,410,047,107,441,361,803,478,393,
886,030,522,596,118,098,916,491,783,663,821,060,977,989,986,429,199,083,478,
339,613,143,206,986,934,011,375,791,747,707,118,346,253,116,175,667,785,487,
716,206,158,000,508,986,672,284,690,073,551,024,205,161,297,201,260,377,721,
858,953,651,085,083,422,049,291,168,762,918,306,782,929,014,536,387,248,418,
523,230,712,385,252,562,721,977,863,645,541,201,604,778,623,257,310,055,315,
930,143,402,151,433,640,446,855,084,457,590,696,954,719,378,517,466,387,281,
909,223,823,583,628,504,914,708,304,441,664,542,188,297,216,940,496,885,572,
189,033,583,620,517,337,828,202,852,134,374,753,004,346,451,425,188,270,489,
665,838,325,170,420,625,453,352,534,776,341,212,437,628,802,842,610,133,150,
859,740,112,683,777,161,252,807,098,371,973,483,907,596,637,766,149,783,063,
580,582,758,174,462,676,989,490,190,414,780,448,439,570,915,759,690,856,666,
890,007,128,182,311,487,873,602,588,151,818,165,838,003,738,690,431,176,154,
758,467,169,349,098,939,865,878,810,914,225,645,343,948,578,975,787,889,233,
312,254,318,880,812,991,437,291,043,333,598,351,102,944,094,757,942,106,600,
385,567,142,795,159,300,200,081,337,100,429,704,834,722,854,507,833,719,736,
695,020,265,113,880,569,449,698,790,594,960,824,107,403,852,009,563,140,193,
558,755,942,199,417,404,426,902,977,026,470,772,648,674,794,312,405,171,678,
301,877,364,683,721,502,967,896,071,831,370,650,218,636,652,281,115,672,792,
186,695,619,343,039,171,882,867,764,135,388,201,547,663,450,473,518,012,402,
688,495,366,610,679,764,885,145,574,081,238,538,820,811,719,973,378,192,481,
405,314,774,013,759,299,612,348,274,389,649,822,074,580,456,297,953,728,347,
093,716,188,936,496,829,032,295,560,309,790,842,801,180,011,826,467,431,067,
780,578,416,629,366,162,749,363,484,732,235,110,990,813,864,601,128,642,446,
085,258,413,865,473,335,360,281,494,047,536,725,358,044,803,490,062,065,253,
051,036,800,385,477,127,125,011,575,082,164,275,898,233,887,214,562,603,512,
052,858,741,007,210,509,475,223,139,947,564,563,187,133,149,033,340,238,053,
011,534,968,308,764,684,396,762,154,862,712,198,434,944,463,940,307,683,305,
329,987,159,331,446,540,425,547,688,499,656,716,049,362,116,709,625,401,165,
927,077,910,014,567,818,994,134,904,696,462,018,416,241,448,374,356,970,888,
188,990,703,464,225,992,494,564,574,623,719,527,572,410,273,059,902,490,806,
896,572,414,979,888,525,297,185,007,680,611,684,236,043,519,722,278,381,284,
424,350,533,866,041,485,712,838,308,670,114,415,124,849,012,710,465,550,060,
271,950,355,009,173,420,043,022,012,516,895,474,764,072,195,615,217,920,392,
401,325,148,969,631,247,036,672,120,025,869,783,350,080,065,786,663,554,892,
812,227,189,621,630,703,909,536,740,745,404,533,301,412,498,066,995,570,567,
401,721,540,460,918,136,345,879,934,543,878,229,226,423,993,367,743,085,640,
333,142,935,212,349,407,948,026,812,090,115,804,349,209,500,415,508,041,035,
899,847,318,575,929,278,520,862,075,018,234,968,384,347,752,055,095,045,977,
417,195,003,151,978,109,154,366,667,314,178,561,418,733,231,945,070,953,831,
168,891,779,024,703,139,870,799,811,189,716,367,865,038,604,254,577,894,776,
903,288,885,210,301,210,667,125,539,472,819,620,710,811,444,170,758,431,741,
149,306,339,192,162,505,359,493,686,182,789,571,692,224,454,707,388,311,702,
290,930,023,291,408,716,168,721,819,697,975,751,689,008,867,395,126,667,951,
666,065,111,169,612,598,975,524,171,682,403,946,544,204,910,751,366,655,277,
519,930,024,593,499,777,273,625,341,792,309,212,199,936,681,630,610,325,889,
480,445,898,065,403,243,599,077,875,917,287,222,590,345,231,057,146,793,516,
433,588,416,415,894,236,832,807,122,078,999,777,618,235,067,560,498,293,539,
237,439,351,939,717,685,114,557,247,651,219,067,828,680,083,417,401,323,080,
373,105,838,455,026,467,480,258,421,059,021,291,238,875,103,823,049,478,409,
027,022,784,965,844,630,254,387,363,621,003,800,065,949,542,326,584,434,996,
699,408,434,930,734,207,674,446,388,246,988,631,302,444,079,429,161,159,814,
359,701,927,658,170,818,922,661,512,750,178,306,299,629,605,134,619,063,471,
073,627,082,808,007,991,778,939,998,010,426,877,446,023,098,694,065,961,276,
988,876,604,677,161,647,791,019,530,142,312,728,844,102,744,710,837,042,354,
624,977,266,718,958,107,914,162,147,215,391,758,032,563,128,491,925,277,602,
037,079,153,214,435,117,680,085,821,759,845,288,480,786,795,589,846,122,750,
895,110,002,551,916,410,153,675,661,999,832,005,539,013,836,278,691,276,612,
598,330,100,614,044,834,543,999,509,333,026,559,731,378,290,230,625,394,274,
256,864,481,329,379,249,923,904,304,965,895,822,907,908,485,939,162,350,076,
947,143,989,099,364,951,075,291,864,347,939,493,992,161,674,875,648,607,103,
621,576,208,065,197,352,194,159,492,635,250,216,077,657,889,252,876,727,068,
374,007,451,582,324,008,819,233,184,793,457,233,317,882,311,813,288,817,517,
326,169,080,737,346,289,816,604,274,607,145,620,845,635,001,923,730,754,520,
279,392,900,552,322,116,189,411,885,692,083,724,501,956,810,240,033,873,371,
554,208,361,795,296,003,703,168,408,568,465,087,049,342,542,076,727,883,445,
703,660,524,704,978,295,439,428,754,262,923,355,268,678,513,723,005,353,153,
237,464,180,747,239,627,568,628,770,355,986,051,042,230,755,440,464,201,309,
153,023,147,053,571,678,839,065,726,390,276,147,955,791,404,432,728,887,776,
001,873,127,254,848,233,332,800,823,493,312,093,224,740,381,494,124,281,167,
957,373,220,770,405,691,301,471,225,712,066,905,885,274,063,305,118,504,155,
705,092,460,125,979,863,750,168,101,144,177,996,230,569,509,870,200,349,538,
448,255,957,502,793,728,406,298,097,813,573,597,860,060,902,252,281,326,535,
833,202,707,295,135,924,078,207,733,885,631,068,857,955,330,052,043,089,111,
460,086,813,532,858,512,116,310,262,264,541,851,510,507,298,200,248,776,551,
785,896,090,976,986,595,276,959,957,170,435,786,083,022,778,356,818,893,605,
595,582,237,789,015,319,823,732,143,985,049,074,326,617,636,323,259,510,880,
516,345,279,564,270,893,395,259,194,874,693,161,505,084,395,204,401,609,089,
674,601,387,674,929,032,538,168,747,425,765,058,906,735,267,595,745,312,114,
666,788,091,972,563,721,534,897,023,302,318,100,083,128,160,701,147,558,860,
127,066,223,996,009,822,752,170,361,907,760,773,510,971,807,902,426,643,242,
768,308,920,496,486,318,157,336,851,431,388,946,381,196,319,064,801,401,152,
232,280,528,974,512,007,656,639,716,803,761,593,886,132,054,514,269,157,777,
112,059,211,196,215,280,943,149,196,873,969,849,990,468,635,789,790,535,656,
511,655,754,892,502,718,897,568,349,567,176,341,891,661,262,583,054,868,168,
622,552,637,095,782,025,622,713,000,771,007,145,186,792,092,091,636,071,720,
436,611,888,385,429,400,392,647,122,070,692,872,403,486,082,449,500,695,682,
974,848,064,921,104,630,164,062,563,639,796,363,821,393,255,841,708,651,220,
305,851,047,988,950,751,772,397,252,908,283,854,560,376,641,714,132,061,783,
861,351,200,197,082,462,737,407,213,269,306,629,458,888,070,641,260,360,142,
328,634,722,167,255,878,211,979,930,120,046,728,394,703,457,866,351,563,637,
099,765,468,372,650,620,698,130,958,914,597,831,666,183,550,780,088,559,957,
287,095,171,775,053,832,954,994,287,684,632,561,580,967,736,016,974,642,420,
812,053,626,104,406,056,936,885,087,803,264,932,752,746,634,607,546,028,329,
256,805,487,961,623,435,845,127,383,121,499,157,630,236,645,686,580,680,211,
103,001,276,348,320,666,438,976,102,676,643,063,641,153,404,938,710,485,237,
540,194,676,132,919,814,830,041,796,173,291,304,433,655,960,272,847,371,839,
265,046,075,659,814,552,864,881,773,256,370,923,098,856,610,924,301,188,489,
780,432,479,198,796,643,376,022,342,397,575,948,814,213,991,905,400,461,145,
847,838,860,586,184,497,518,796,482,193,176,086,736,595,889,914,888,652,077,
497,578,120,280,880,548,794,296,059,969,711,928,278,174,450,224,110,714,149,
073,310,546,781,065,747,548,724,686,091,114,623,231,214,865,586,563,386,322,
199,070,328,574,256,116,462,726,211,589,593,702,764,010,626,813,519,506,540,
489,099,477,301,543,834,056,272,838,897,374,818,551,273,201,146,756,895,253,
632,359,937,465,796,372,513,046,393,888,484,173,764,150,061,412,194,172,352,
671,870,285,725,784,818,829,644,494,825,780,480,297,839,095,229,901,923,169,
904,290,011,324,511,205,188,336,482,334,219,615,391,653,839,312,408,722,786,
153,451,275,695,193,733,738,542,336,060,545,428,896,314,323,665,746,161,969,
517,646,995,070,859,661,017,026,238,258,415,089,210,741,235,728,388,619,496,
840,707,941,217,419,261,558,318,176,540,429,525,322,184,881,526,313,704,895,
740,732,673,383,558,132,034,308,318,046,623,496,122,099,435,870,124,241,393,
820,535,904,573,625,606,456,751,827,467,305,101,097,917,478,996,398,672,872,
409,173,357,752,894,892,789,830,609,198,640,628,768,719,567,330,685,883,736,
748,074,360,564,448,559,442,707,845,283,211,363,502,522,541,872,849,150,679,
540,226,364,534,497,333,065,409,877,285,772,637,512,496,637,356,530,732,431,
871,638,558,308,083,068,924,276,230,453,865,285,694,209,143,438,598,689,242,
781,915,668,726,454,691,478,160,577,480,453,038,545,004,095,785,876,723,705,
163,443,873,185,763,359,950,511,003,732,566,466,369,986,203,817,123,193,525,
051,087,503,663,341,763,204,907,029,508,423,788,069,401,208,383,672,221,166,
446,645,650,677,225,329,440,629,837,032,176,818,958,248,031,917,175,796,721,
209,766,022,395,642,927,445,305,701,983,641,296,551,552,656,846,522,444,427,
688,430,120,584,860,564,085,456,770,475,370,851,565,319,818,867,903,090,033,
875,952,768,380,821,732,475,525,076,612,817,519,212,366,629,807,338,159,554,
072,125,425,105,807,145,492,066,735,601,660,134,028,640,246,462,801,147,684,
614,037,012,673,146,964,168,074,385,073,602,171,698,241,795,638,647,595,011,
934,343,170,181,552,182,266,277,688,404,480,851,479,929,913,663,090,723,974,
969,535,544,175,305,487,202,908,756,460,282,302,504,284,258,542,873,574,225,
641,808,829,641,478,409,304,048,476,455,233,666,924,189,075,163,622,389,362,
974,380,806,920,897,989,269,278,142,139,379,063,209,045,083,489,533,097,632,
993,479,432,010,899,801,904,182,734,689,241,422,075,752,726,394,457,642,843,
913,058,327,240,687,118,749,151,754,533,105,078,413,214,183,919,613,472,154,
340,483,905,464,832,316,214,163,755,911,559,021,281,235,034,964,859,485,689,
369,466,059,289,769,101,348,532,149,583,128,112,096,035,278,205,046,219,532,
394,485,801,866,990,750,521,983,220,741,799,880,671,981,074,092,536,731,363,
681,468,278,587,898,331,805,201,117,614,254,488,912,415,033,842,822,097,648,
003,649,847,669,815,385,508,469,472,336,003,135,667,367,045,690,640,204,698,
741,063,935,880,574,073,573,612,005,745,395,562,176,552,145,413,265,036,274,
232,348,850,387,710,303,041,826,712,550,334,936,769,732,582,286,347,710,824,
118,458,337,256,279,881,471,540,064,788,835,984,109,302,491,301,005,157,295,
340,619,329,981,268,911,286,704,700,387,572,529,244,762,442,998,219,667,652,
484,963,971,466,266,241,841,253,088,460,477,648,595,454,984,898,264,012,929,
539,189,822,358,405,801,539,327,092,556,376,220,271,582,834,350,562,996,208,
752,544,979,103,623,934,667,938,807,321,726,240,416,997,049,838,830,119,183,
343,309,895,166,155,527,551,960,751,991,031,290,670,843,817,148,076,511,238,
545,080,402,437,061,794,642,856,468,605,882,978,233,967,271,638,500,974,261,
992,478,272,311,070,568,044,377,954,181,173,390,380,596,925,652,661,916,703,
264,240,844,043,071,526,924,845,579,063,190,191,447,207,316,373,388,652,590,
423,145,082,885,481,399,243,747,402,828,725,366,799,955,739,639,871,467,790,
762,132,075,915,974,975,151,226,847,108,088,402,010,598,196,026,353,896,952,
275,898,821,282,932,043,611,198,164,340,965,395,379,409,572,486,901,289,845,
112,930,523,791,469,566,209,192,172,679,910,976,314,408,355,161,017,875,446,
017,686,721,367,629,820,731,449,495,320,103,118,022,557,887,919,789,899,419,
253,796,097,617,228,048,817,090,122,341,384,275,479,077,450,097,458,597,815,
886,780,089,402,770,363,191,772,694,370,435,763,540,881,404,520,238,690,011,
253,641,837,806,679,390,895,099,488,256,029,582,687,548,867,509,841,665,210,
101,369,572,924,267,485,446,752,445,085,251,274,597,237,806,563,850,755,100,
315,672,759,096,740,077,069,984,689,971,452,095,793,604,296,239,150,968,521,
300,237,585,841,316,191,500,885,822,317,260,109,151,849,723,768,823,108,968,
497,091,532,110,618,680,168,141,849,515,523,023,353,151,496,817,955,912,706,
517,764,660,261,036,393,999,364,735,197,027,432,487,015,253,463,429,132,939,
238,929,044,339,927,946,975,369,440,836,799,144,966,677,549,077,000,264,826,
339,423,706,037,675,005,858,906,998,939,589,862,941,989,478,266,016,704,003,
190,882,038,434,992,473,606,575,862,378,453,224,161,952,791,359,939,055,654,
077,723,926,046,244,170,856,879,312,132,250,720,495,613,686,036,754,447,492,
164,577,661,128,741,679,257,232,180,415,880,963,449,593,581,465,344,713,825,
710,347,574,473,984,881,860,930,374,376,266,108,123,688,208,580,656,574,186,
281,122,134,819,996,861,828,904,401,087,239,743,987,904,076,478,549,591,714,
409,285,721,977,841,302,931,921,877,863,333,729,899,276,886,763,558,624,458,
196,085,081,064,968,895,559,714,431,196,613,336,572,678,402,468,736,553,398,
409,015,783,976,601,988,708,520,294,315,462,609,385,533,218,100,436,642,295,
275,385,772,596,660,302,261,343,655,960,994,295,476,890,014,997,910,968,610,
616,367,114,147,681,165,185,602,404,910,143,368,581,047,034,797,528,668,972,
838,082,788,399,650,251,074,832,081,674,117,602,401,989,296,853,967,006,114,
693,675,374,850,370,595,249,324,837,760,121,059,425,561,515,120,103,389,697,
434,143,180,438,957,184,395,407,517,439,138,668,985,157,652,271,173,970,279,
240,872,749,331,861,495,415,305,670,302,693,289,216,701,998,444,029,442,959,
610,273,381,447,779,727,621,061,737,847,588,684,858,816,834,591,950,279,846,
548,658,125,469,776,047,530,365,322,874,720,349,837,291,062,469,174,824,497,
829,965,679,082,851,640,337,317,597,588,012,167,307,173,184,524,832,545,092,
695,466,039,061,829,660,557,011,076,465,712,404,943,704,968,541,066,535,651,
361,499,196,832,785,175,798,249,201,380,117,013,007,879,693,085,420,959,373,
754,096,649,733,220,431,837,788,554,673,639,873,659,841,063,281,645,247,724,
403,389,398,555,087,785,871,605,714,864,563,404,061,053,485,001,789,385,364,
159,095,650,021,373,461,832,467,839,533,346,569,805,830,387,357,169,560,717,
726,631,329,001,436,550,821,849,610,233,691,799,264,830,479,855,130,707,073,
930,901,705,377,496,327,195,516,071,132,292,982,392,476,873,231,355,321,351,
072,430,799,957,092,333,808,237,149,639,017,661,654,730,485,071,302,545,164,
039,990,864,704,621,932,414,540,743,796,489,426,117,129,555,038,081,802,352,
984,849,628,873,813,842,294,401,562,029,371,165,541,866,464,566,523,569,755,
916,691,474,144,605,724,300,654,669,048,365,771,696,715,028,126,065,162,320,
835,222,474,923,442,995,579,494,455,410,455,317,033,052,192,233,571,310,058,
944,609,625,028,059,403,422,008,534,672,423,086,911,915,269,413,076,020,500,
553,462,773,238,209,180,264,829,710,676,902,453,507,086,994,244,786,816,235,
283,594,291,747,388,865,921,729,394,004,987,645,104,779,715,631,842,910,646,
906,858,028,266,021,651,635,901,627,835,591,440,451,846,535,049,948,949,797,
799,271,156,149,838,990,161,696,861,742,428,469,400,941,750,495,501,767,442,
408,790,687,419,140,658,156,547,196,588,486,489,994,384,251,480,300,885,517,
389,383,535,663,158,036,243,211,992,084,825,818,131,126,492,246,693,763,477,
762,849,209,085,229,988,926,562,734,184,766,222,538,811,850,312,851,001,764,
701,610,098,645,261,074,932,397,637,136,342,974,797,866,482,341,029,999,344,
345,665,053,797,550,545,287,943,097,156,209,977,869,577,076,175,250,624,064,
552,907,359,696,131,245,937,130,714,926,782,715,462,619,496,475,280,992,762,
790,446,240,013,225,083,477,096,080,783,134,789,912,988,118,492,523,182,840,
557,876,111,905,010,141,590,977,067,814,937,584,965,298,232,181,246,190,398,
731,321,570,312,157,281,247,145,292,570,534,413,658,421,545,640,868,740,181,
851,406,157,896,861,537,355,738,318,285,993,324,791,030,474,374,636,001,770,
253,751,645,753,311,947,880,884,363,081,941,241,194,640,737,823,503,986,853,
454,184,615,307,460,152,960,693,265,330,507,499,163,700,315,182,166,381,788,
869,009,646,854,077,002,696,329,185,414,822,271,376,028,915,703,251,277,365,
598,220,791,278,178,369,654,636,935,287,969,735,128,774,306,892,642,612,115,
954,090,199,422,107,600,763,772,206,498,992,514,400,900,553,001,937,394,616,
283,121,206,615,440,170,376,596,924,781,498,505,254,978,088,024,309,700,039,
724,983,344,066,271,435,643,499,032,091,669,436,829,611,059,044,735,649,687,
617,795,975,544,295,496,380,640,810,106,570,908,738,210,689,807,125,436,391,
192,392,254,567,933,260,510,094,330,836,957,015,563,251,703,124,576,534,796,
677,227,493,668,021,789,818,515,929,150,750,661,807,218,981,785,046,110,703,
662,959,872,294,031,340,338,523,014,579,040,091,726,939,747,439,896,826,309,
947,822,312,740,812,400,342,795,671,043,221,966,209,858,263,849,601,672,323,
812,546,389,826,790,888,204,545,177,096,263,166,800,598,691,140,448,666,147,
343,360,469,018,398,666,942,501,527,286,745,069,010,431,047,708,215,887,693,
750,826,235,166,161,047,282,789,450,384,865,914,254,233,419,786,989,769,903,
893,277,714,460,875,309,457,151,289,612,464,217,927,211,685,512,144,340,194,
362,749,992,095,017,323,516,118,230,018,763,344,871,334,585,293,759,403,046,
461,802,000,529,496,704,568,228,506,840,590,791,842,410,771,469,019,711,072,
119,597,189,116,991,033,463,778,813,789,915,308,790,448,847,096,997,185,606,
102,717,468,075,829,782,917,223,706,538,560,763,146,158,439,793,877,782,805,
641,392,339,319,095,427,161,227,947,525,242,834,025,849,377,658,999,437,570,
098,874,752,849,509,701,284,148,988,680,755,744,279,352,949,922,479,006,871,
128,630,210,586,154,322,870,696,764,315,157,371,769,515,506,682,189,171,712,
316,669,602,067,406,414,810,587,042,239,738,087,302,122,522,972,522,733,039,
624,074,384,262,347,953,821,115,062,859,305,779,367,496,046,378,562,711,247,
750,817,043,209,725,213,044,496,408,039,190,481,734,750,463,151,585,494,984,
170,495,351,334,629,923,732,472,041,863,377,701,933,116,005,473,271,561,853,
136,390,900,424,950,990,930,812,271,716,011,182,899,368,529,946,112,222,335,
500,215,143,099,157,018,570,464,376,190,750,550,221,546,991,775,300,114,492,
173,109,067,859,028,939,733,811,654,227,553,049,528,051,465,065,965,746,568,
713,761,554,689,007,038,787,155,243,776,299,162,731,235,870,017,602,575,648,
397,473,059,893,921,513,726,601,044,201,003,232,869,881,486,864,223,699,234,
807,721,999,635,827,251,725,772,743,479,713,900,402,717,537,875,639,573,955,
582,359,077,284,612,425,524,591,843,686,847,808,085,657,955,905,368,105,554,
797,206,836,656,474,816,997,850,322,346,824,703,149,397,599,174,650,046,892,
871,612,523,017,139,726,169,050,326,192,489,699,621,581,042,347,633,765,781,
768,561,729,482,419,794,362,447,360,276,544,749,456,050,078,491,440,623,855,
588,451,875,335,197,431,118,660,917,130,001,102,303,396,534,442,132,951,120,
845,065,906,875,466,738,446,330,860,512,289,683,051,333,042,953,291,279,452,
453,481,531,598,104,164,693,799,833,276,699,668,260,066,555,124,866,358,685,
801,203,869,272,717,901,075,876,293,189,749,469,541,346,349,903,559,567,878,
417,994,141,955,712,267,838,535,301,358,480,647,178,278,971,965,282,025,083,
271,066,984,635,319,742,432,585,342,737,260,968,863,181,284,029,419,097,892,
796,115,503,686,432,031,452,476,064,947,771,053,333,302,216,547,313,354,786,
012,117,905,142,589,402,058,282,849,765,510,746,962,224,208,951,890,186,197,
197,690,635,430,659,384,540,368,196,210,019,988,564,063,465,028,196,611,477,
103,887,077,452,814,297,970,503,912,236,320,452,587,537,141,084,241,202,589,
641,048,098,525,646,663,474,477,941,431,902,515,823,717,376,409,039,170,297,
015,573,288,216,833,823,681,469,434,530,955,049,945,496,553,344,976,360,829,
882,446,284,657,763,268,266,392,257,706,992,160,583,437,031,929,074,516,990,
642,056,931,559,564,317,837,017,303,616,412,683,333,706,718,012,797,136,659,
896,626,827,807,879,600,683,980,678,691,691,241,794,516,868,611,899,263,153,
132,864,403,825,565,788,032,400,246,885,132,920,604,648,875,841,224,793,856,
469,178,131,248,142,299,930,033,833,840,985,931,719,694,101,856,866,537,215,
550,294,046,818,052,629,830,875,867,617,285,607,898,034,237,372,648,504,010,
015,113,300,587,781,741,997,302,826,583,761,231,894,734,386,958,372,439,111,
759,047,047,747,828,180,043,056,666,383,526,761,343,501,800,314,997,490,162,
536,163,818,921,919,352,655,494,831,296,339,190,892,417,938,494,762,506,276,
409,278,155,251,944,171,935,678,230,103,131,386,151,049,995,938,545,018,952,
428,972,928,469,696,327,019,862,065,078,586,263,153,573,625,228,909,377,083,
774,882,768,830,107,617,187,590,196,024,499,085,351,461,561,765,336,629,482,
354,946,317,246,374,624,024,055,191,457,180,837,021,465,340,222,045,447,845,
876,139,720,356,349,720,618,071,372,314,668,625,745,755,056,148,773,248,457,
713,025,979,037,911,838,919,473,133,490,111,560,225,685,816,707,243,298,368,
282,353,292,546,111,190,629,068,947,596,590,764,098,047,913,837,532,457,641,
077,041,775,398,571,599,924,604,194,738,240,792,666,282,727,259,148,833,634,
785,699,511,590,724,587,700,305,621,134,819,356,838,076,301,588,608,043,243,
283,412,040,508,672,470,037,339,561,456,805,877,528,100,316,991,721,509,389,
933,985,431,624,762,919,145,629,602,255,735,390,982,204,028,249,469,953,606,
745,905,198,501,693,907,612,343,694,927,269,017,243,553,583,489,462,411,483,
976,250,386,792,167,427,047,750,006,036,328,632,759,750,890,611,259,213,482,
923,351,651,608,431,282,359,103,743,840,665,346,588,303,543,196,187,279,696,
770,362,164,326,529,195,426,268,549,598,096,432,926,162,647,613,873,086,671,
599,478,069,340,329,239,603,062,138,297,708,122,071,716,362,701,545,467,776,
325,410,320,036,024,062,852,813,797,776,307,971,434,585,522,078,532,177,753,
652,822,527,953,569,663,039,178,196,729,354,771,794,947,095,454,068,613,264,
882,076,120,755,096,691,649,661,060,388,629,591,180,168,209,525,489,669,227,
027,764,250,174,874,390,230,772,016,488,522,496,677,353,923,464,818,360,968,
162,073,813,035,733,148,061,813,995,647,017,620,308,626,685,879,283,969,792,
967,174,419,671,348,469,682,751,491,356,570,670,117,180,145,328,153,961,483,
985,640,946,182,846,276,692,479,451,560,979,973,575,590,716,441,785,313,293,
793,593,505,283,206,948,706,332,304,663,685,308,324,343,344,988,333,634,653,
098,053,604,931,194,124,492,472,370,582,515,232,659,295,445,757,679,026,170,
662,339,747,463,812,799,095,259,954,392,799,203,706,604,120,678,322,495,124,
518,951,182,207,445,185,310,594,272,623,389,387,698,012,919,833,219,043,129,
562,565,329,570,127,089,226,893,014,226,431,556,981,576,747,205,901,371,193,
127,483,144,897,936,595,964,441,522,663,050,159,823,868,974,860,676,561,646,
065,000,498,940,518,385,638,695,907,852,195,127,826,702,730,840,917,220,898,
830,706,816,193,921,645,360,464,084,949,695,233,425,847,084,162,954,674,000,
210,494,460,212,748,090,462,810,217,702,909,139,405,002,837,002,984,320,387,
760,923,626,505,302,417,820,532,015,110,536,520,724,138,569,825,924,482,541,
712,309,686,763,178,055,630,434,353,072,939,221,967,465,754,993,591,353,043,
747,715,656,587,957,789,559,858,174,185,277,391,935,458,990,950,356,671,244,
435,511,743,597,277,813,748,797,547,239,769,432,283,670,171,203,587,091,465,
958,741,318,244,639,199,130,585,897,767,602,871,277,082,481,040,649,328,945,
758,853,074,555,908,295,364,511,533,399,816,566,747,495,199,639,856,418,641,
766,468,830,073,683,642,339,381,892,915,934,079,170,154,305,693,968,025,997,
557,137,760,417,385,658,090,335,138,681,973,786,556,209,847,759,007,379,683,
434,097,482,055,595,070,679,926,553,489,116,963,050,432,943,133,178,558,195,
636,725,588,113,573,224,173,224,964,692,512,628,171,409,314,612,859,366,947,
687,552,492,946,449,619,825,008,388,727,292,757,804,771,163,246,340,285,632,
652,443,426,122,771,770,073,291,667,169,471,157,825,922,346,064,609,968,743,
984,173,159,520,046,306,431,637,326,280,859,514,959,205,134,424,908,864,195,
574,092,242,780,718,968,095,433,792,992,570,423,536,103,829,567,976,089,296,
231,010,910,326,085,719,373,060,819,297,404,104,091,945,987,388,043,209,424,
242,117,552,910,709,435,072,516,592,364,005,390,153,221,373,489,315,500,099,
490,677,163,923,719,556,333,671,611,105,441,492,421,904,938,818,726,111,721,
667,271,576,626,656,731,955,631,283,552,332,608,494,642,459,168,196,579,243,
421,036,218,271,313,529,896,758,793,315,589,101,629,153,785,212,344,695,242,
451,274,281,251,575,622,840,834,789,414,416,352,852,722,028,960,812,330,523,
683,681,743,063,494,736,253,413,884,074,786,054,383,356,215,972,737,268,502,
696,178,167,750,249,962,142,127,193,670,377,254,883,933,569,043,871,663,999,
769,272,920,435,210,698,350,932,435,439,445,558,057,911,107,897,687,121,656,
006,255,050,200,493,301,997,932,849,547,592,146,443,334,934,126,481,360,443,
268,996,881,457,342,560,731,050,160,471,660,788,539,944,359,474,680,568,252,
171,165,031,320,773,112,223,742,740,608,741,395,787,605,524,449,505,705,994,
290,386,225,736,431,969,280,142,619,533,202,769,856,113,382,702,297,550,957,
453,317,607,942,926,628,273,984,853,738,131,803,810,741,608,739,300,275,690,
459,340,648,408,660,726,254,873,193,765,352,974,824,513,288,534,759,583,683,
253,493,319,694,963,964,419,790,796,591,808,382,661,840,907,540,426,553,226,
407,415,861,019,532,574,031,182,534,561,169,096,298,797,593,750,619,406,471,
367,007,453,031,057,871,349,766,914,618,729,380,156,661,019,499,161,094,999,
813,869,314,094,143,701,663,502,803,243,957,754,956,350,758,339,172,371,688,
569,946,543,202,885,995,821,604,303,599,747,371,515,338,418,426,957,904,515,
069,546,585,749,150,068,263,066,365,020,482,804,390,967,587,412,303,340,496,
735,482,856,782,487,961,098,196,657,105,344,372,768,898,628,096,547,848,439,
948,734,826,199,250,689,457,155,627,029,517,946,997,447,860,883,678,220,225,
522,035,928,450,109,972,444,250,694,831,564,279,469,712,583,812,676,497,430,
228,224,437,845,073,091,971,359,144,384,066,972,766,537,589,904,605,091,890,
406,249,559,117,011,483,813,025,972,453,329,093,450,782,681,579,938,621,001,
301,067,743,830,246,135,435,819,612,138,163,078,569,902,365,738,838,813,703,
742,821,539,503,007,969,882,277,188,070,667,057,322,188,588,465,168,141,855,
255,068,995,826,476,546,856,520,975,673,953,061,981,461,037,720,959,813,086,
624,259,447,305,106,829,446,189,959,021,080,019,295,627,185,461,246,315,718,
135,314,951,990,269,445,378,822,903,499,862,408,283,955,766,415,751,405,938,
873,747,512,468,490,647,985,109,906,466,636,355,194,047,674,549,096,694,872,
902,094,670,162,534,485,508,111,609,948,682,422,684,239,372,755,649,120,872,
363,006,943,092,191,803,190,395,164,662,506,037,475,593,932,354,942,255,926,
350,757,089,031,396,479,116,196,800,900,826,655,438,176,765,808,855,263,577,
961,434,017,667,807,921,499,061,230,180,353,194,977,604,316,465,992,940,728,
335,707,967,322,748,218,362,797,327,083,725,677,106,119,144,053,695,251,932,
283,749,635,814,666,255,936,256,166,641,895,026,251,311,301,971,911,199,167,
697,151,906,016,043,136,825,252,602,577,602,866,354,414,016,525,496,839,523,
810,315,963,027,557,567,640,972,304,098,096,167,871,730,504,143,296,811,575,
666,478,654,722,382,611,415,727,974,288,745,658,049,213,000,999,398,262,084,
841,689,762,631,820,594,022,058,957,689,851,853,351,555,401,046,544,530,673,
304,702,039,444,688,210,906,349,050,594,973,505,896,764,902,351,011,019,571,
030,522,472,597,444,791,130,299,157,556,066,862,252,533,952,410,265,385,290,
734,526,062,681,558,434,661,835,751,592,891,803,783,624,459,911,382,921,916,
840,866,637,743,788,554,701,285,609,068,674,643,769,821,049,467,748,753,749,
851,685,985,838,986,675,795,698,202,607,018,126,284,498,593,074,076,317,220,
373,746,761,800,184,094,393,189,798,146,156,711,634,142,150,402,799,507,101,
522,810,955,806,151,443,545,523,292,704,600,899,370,583,816,598,899,244,404,
474,918,904,289,762,263,601,042,476,726,719,910,435,770,508,433,810,950,780,
545,929,085,546,623,390,980,122,926,567,477,337,137,585,047,132,116,925,490,
684,592,403,976,734,196,951,159,602,050,415,868,244,791,342,629,727,776,548,
494,879,220,195,732,420,232,558,337,673,580,622,714,130,647,665,267,143,027,
688,085,930,065,249,389,083,089,079,466,350,581,730,868,766,520,022,779,417,
008,187,170,531,205,617,474,434,538,641,664,174,965,237,511,386,501,155,503,
486,126,058,278,652,063,490,132,065,741,808,270,368,197,637,169,101,239,018,
135,590,075,587,725,204,530,949,455,884,174,749,156,696,303,855,509,102,935,
726,058,585,043,304,855,990,567,160,592,182,894,965,174,892,134,571,570,787,
678,848,682,473,322,581,151,607,701,414,764,009,750,440,281,125,213,102,222,
518,797,507,313,907,701,875,575,041,393,620,768,382,241,563,219,422,985,648,
728,227,329,460,146,947,558,958,613,699,120,344,368,900,136,086,659,696,931,
139,728,914,734,258,574,828,727,283,372,294,985,870,653,693,933,992,236,838,
223,651,227,921,002,430,117,573,865,595,099,637,014,451,912,044,665,868,668,
779,325,299,493,434,460,842,185,593,729,330,076,982,832,583,013,798,881,239,
028,153,366,318,028,729,656,344,881,855,818,004,375,171,499,897,540,776,373,
709,162,891,141,788,442,591,872,562,822,915,088,137,614,507,455,602,549,868,
465,007,803,438,035,369,172,323,078,360,611,354,898,924,276,872,007,764,178,
199,748,539,905,503,844,422,673,598,105,213,473,172,153,796,618,099,204,315,
781,140,492,272,173,990,448,177,979,658,220,214,321,904,920,599,930,538,429,
488,242,245,600,523,496,423,053,552,413,165,178,803,729,944,739,586,122,474,
152,437,658,160,515,370,837,877,573,419,309,173,265,558,388,711,046,177,648,
025,313,310,160,401,720,618,369,534,406,966,702,437,750,078,218,602,658,733,
054,840,807,808,717,007,533,234,041,819,043,659,608,937,319,424,558,632,283,
597,828,311,466,039,411,609,432,733,673,862,654,480,444,470,319,280,678,341,
503,589,484,533,847,707,388,261,278,601,341,130,732,423,823,781,169,720,663,
507,614,463,716,594,282,337,445,658,061,238,827,965,114,677,068,075,070,208,
410,611,988,597,163,912,543,166,755,474,577,482,173,916,731,916,753,097,051,
770,162,929,344,194,101,190,153,347,095,403,788,691,248,708,402,783,997,606,
903,528,359,523,364,001,927,659,915,139,186,107,130,476,557,221,004,271,628,
326,565,856,286,188,226,552,632,069,495,368,846,711,718,272,627,332,181,845,
452,825,184,007,132,800,390,827,282,054,753,977,778,650,644,015,960,353,580,
506,420,826,394,138,712,026,293,377,139,420,293,878,520,043,132,051,880,009,
805,510,067,150,013,492,565,572,021,505,436,082,191,999,174,782,069,179,661,
867,602,383,068,987,518,814,682,407,937,383,899,653,054,127,352,273,450,712,
901,259,297,419,530,021,145,599,909,050,986,196,701,020,937,445,464,564,750,
308,299,364,355,797,255,032,567,913,811,863,507,701,568,698,676,707,947,074,
766,418,633,991,565,335,233,644,588,437,531,970,754,054,154,354,636,984,719,
899,943,830,388,912,441,789,816,618,089,392,119,325,159,984,517,313,049,921,
834,406,772,795,806,447,021,677,567,844,210,009,890,981,694,466,095,600,949,
983,517,026,338,667,917,989,189,650,402,879,474,749,674,870,447,348,512,951,
260,860,100,771,396,908,261,897,519,918,851,714,782,669,443,796,789,075,447,
481,305,984,509,699,293,185,901,832,737,788,230,193,585,737,051,147,564,614,
093,941,061,879,294,671,422,196,917,304,096,457,310,494,906,413,755,883,168,
731,451,953,319,709,945,361,429,914,532,035,210,056,981,527,628,733,889,583,
571,796,827,567,158,542,400,083,916,806,449,906,936,033,883,617,208,541,292,
073,105,848,318,317,333,506,983,240,455,324,088,069,215,973,364,161,573,895,
098,361,014,348,374,634,083,830,582,003,155,264,714,019,182,043,772,156,059,
771,228,611,289,258,508,647,677,289,608,653,872,455,840,193,583,114,082,498,
946,324,191,908,104,003,258,617,453,987,705,306,436,991,655,860,325,088,227,
087,576,577,240,084,991,426,196,876,600,786,750,228,828,532,958,057,522,295,
736,277,716,053,246,272,108,566,793,379,270,706,567,093,252,889,351,420,989,
630,742,660,724,223,937,898,359,868,636,736,418,655,671,978,005,926,093,617,
018,423,390,446,642,623,624,705,153,118,664,206,118,592,958,365,942,398,701,
335,176,632,552,948,755,066,500,077,575,224,886,722,394,052,984,888,121,404,
175,632,037,443,926,646,670,993,411,099,017,343,982,007,219,431,423,157,541,
599,555,190,914,994,957,928,577,565,913,830,974,272,246,425,950,481,430,126,
238,487,994,630,812,813,467,935,646,740,900,717,418,869,307,424,470,113,003,
495,550,406,100,903,505,831,813,546,714,604,038,670,615,114,002,046,574,840,
680,398,457,118,390,817,791,413,526,428,209,928,284,014,841,244,831,526,108,
509,892,366,475,259,593,494,465,947,494,509,668,438,160,213,206,712,431,899,
815,665,306,794,937,739,871,742,849,629,112,055,003,842,081,209,950,920,855,
851,357,193,826,619,817,385,385,589,914,205,339,728,412,704,358,923,258,248,
459,095,921,946,403,086,044,971,781,869,489,091,485,249,199,992,555,828,536,
564,763,131,266,952,529,725,169,367,982,852,438,282,022,678,782,165,385,117,
122,009,243,979,068,628,537,910,307,640,844,173,599,306,814,332,145,335,862,
617,136,747,093,423,917,561,498,960,542,445,747,430,299,158,021,688,228,083,
357,523,079,914,807,176,652,880,769,508,484,012,365,944,446,418,554,286,204,
816,919,700,450,242,686,556,968,046,460,362,738,329,315,769,898,098,064,723,
064,663,242,636,427,140,642,328,649,276,322,046,718,974,838,514,639,673,799,
790,632,715,200,918,880,209,838,888,048,907,797,129,855,770,103,639,374,408,
759,610,426,378,997,944,595,854,246,134,956,366,103,477,644,770,548,413,327,
087,012,635,936,557,083,896,130,599,904,599,271,526,294,626,771,254,415,626,
464,107,244,504,809,128,770,063,545,459,963,279,402,349,339,706,688,072,508,
200,553,684,457,594,796,914,068,555,879,728,992,413,976,049,840,206,702,221,
582,595,825,567,383,738,852,515,965,080,818,722,248,359,572,170,765,214,614,
691,092,859,531,342,429,104,307,468,648,218,174,411,470,617,019,140,549,174,
308,749,523,680,711,604,371,689,239,256,311,704,730,332,912,728,449,518,157,
089,130,280,919,932,818,757,370,930,872,355,625,569,207,825,181,201,268,354,
718,402,175,771,733,475,759,080,201,013,835,426,447,677,275,611,796,872,637,
697,000,751,606,791,970,959,267,104,802,230,550,073,773,784,853,972,848,380,
580,332,679,611,950,818,240,366,982,689,892,475,653,362,270,676,589,842,256,
210,979,536,606,548,098,031,317,115,401,615,620,008,751,653,341,198,848,645,
692,855,490,186,802,840,015,604,964,376,382,072,573,887,816,094,200,550,929,
915,379,617,857,454,465,902,832,638,245,252,845,091,405,702,806,538,967,143,
619,740,756,686,811,653,572,550,848,419,590,069,797,322,356,823,329,884,453,
337,565,901,711,763,541,642,051,686,122,051,681,630,780,071,156,516,736,076,
258,730,496,987,628,627,843,189,904,013,960,577,560,238,670,270,494,262,103,
332,807,037,293,154,975,636,403,722,430,101,110,079,198,001,415,142,286,167,
025,765,658,024,244,681,574,945,773,859,429,218,237,197,118,208,024,008,819,
583,509,810,469,442,993,189,054,302,817,654,113,356,510,497,936,913,029,795,
981,284,842,528,883,753,262,742,081,405,145,134,870,973,805,046,832,625,884,
241,362,282,607,426,601,681,857,646,068,344,454,739,093,510,317,721,984,045,
723,871,157,987,039,332,483,299,995,969,595,904,018,093,068,835,617,551,013,
664,890,627,038,951,818,463,521,776,272,928,359,426,631,019,178,271,816,645,
984,050,019,393,631,991,419,593,264,330,001,327,127,300,835,881,031,965,462,
861,789,735,424,250,875,483,558,434,886,039,415,375,073,526,919,060,048,353,
164,655,245,017,881,552,155,980,887,481,039,281,934,636,351,465,378,172,877,
124,846,297,429,500,324,219,740,733,957,593,090,592,613,135,932,033,929,189,
528,251,323,853,244,608,946,729,578,736,342,509,478,722,547,957,232,277,820,
049,340,962,493,880,301,680,444,888,369,576,576,194,768,236,542,364,548,762,
897,214,611,959,631,833,463,432,933,997,907,326,581,259,475,251,855,373,620,
489,971,432,060,006,205,227,931,336,551,344,312,368,932,520,084,124,807,524,
868,454,380,319,777,721,251,404,372,269,852,810,353,470,683,312,791,339,973,
544,024,487,317,004,993,558,157,324,289,646,244,128,425,445,811,179,314,824,
234,355,768,816,255,853,658,029,819,769,699,487,444,441,064,556,223,818,255,
345,270,784,824,922,172,020,564,348,696,892,536,146,662,178,929,560,660,156,
663,403,135,765,422,697,321,156,479,751,589,571,308,342,742,659,149,107,805,
043,839,630,486,497,398,113,276,199,904,687,677,717,186,717,502,436,743,480,
186,523,412,613,570,824,789,281,106,262,482,308,855,847,554,361,648,984,260,
139,968,859,233,339,384,290,703,387,892,187,625,257,937,406,466,680,186,502,
947,676,247,128,916,346,781,061,349,295,465,607,719,782,461,913,849,122,381,
026,501,619,613,216,304,283,309,094,814,196,401,851,523,773,127,874,739,668,
707,294,830,824,735,515,844,487,657,986,345,230,660,288,256,210,414,216,290,
424,392,597,637,787,894,851,249,282,810,061,622,743,187,099,656,162,223,005,
738,398,810,311,202,892,152,198,144,052,591,432,621,664,675,165,699,427,543,
066,619,229,762,555,023,386,656,278,841,104,012,329,449,482,975,377,149,627,
291,462,106,071,633,541,434,299,759,151,027,238,730,772,094,442,985,273,508,
153,934,270,620,645,029,458,113,742,036,362,233,334,696,049,865,748,774,145,
210,009,686,348,781,105,338,099,671,664,970,002,828,184,816,771,094,971,721,
229,061,258,034,865,069,147,076,646,375,735,932,035,560,899,986,725,753,720,
454,950,090,104,023,178,335,866,593,713,010,909,236,271,015,879,688,985,360,
691,130,158,726,601,166,780,100,753,943,943,924,604,099,928,190,010,482,789,
303,551,449,637,389,306,125,039,609,645,912,446,447,520,221,248,090,507,599,
700,576,570,805,926,270,921,733,583,347,045,141,876,668,407,689,693,266,804,
733,042,929,368,068,849,843,203,231,644,537,727,160,996,233,530,781,723,662,
008,452,841,277,085,773,046,867,821,557,186,736,890,808,511,115,347,792,675,
971,618,695,151,491,544,010,542,340,126,602,522,280,136,671,978,714,012,006,
315,863,316,303,250,887,257,610,615,018,667,073,899,000,236,725,988,078,987,
023,258,875,699,873,717,369,018,338,021,141,577,008,256,906,556,707,498,460,
091,828,222,658,951,891,453,265,839,030,438,186,644,363,983,743,467,118,767,
267,327,722,917,776,100,988,954,116,991,986,686,933,420,294,589,526,837,074,
917,487,792,109,698,258,093,213,057,729,719,499,669,048,624,950,036,828,609,
883,551,373,114,225,874,972,576,882,905,552,848,129,544,996,121,225,673,818,
662,909,362,386,878,714,357,734,306,711,104,277,623,516,790,032,441,257,810,
875,485,174,483,964,792,961,290,153,189,016,888,887,727,491,237,090,958,481,
020,802,023,500,527,705,110,709,433,598,503,786,742,933,236,209,527,359,181,
507,993,127,177,112,432,138,412,514,311,517,325,597,701,807,537,433,920,936,
504,504,997,313,021,352,033,633,952,590,481,583,710,226,363,161,490,241,913,
010,947,505,655,413,082,480,002,117,381,644,952,970,849,175,945,571,075,092,
072,669,352,579,474,751,968,455,447,679,207,283,615,235,617,261,504,253,753,
098,442,563,184,145,631,673,982,786,436,896,037,187,667,465,231,128,866,690,
991,367,409,382,327,714,419,599,016,723,167,734,346,583,374,266,712,764,786,
615,096,151,815,404,110,515,337,847,944,036,241,766,540,579,964,519,270,754,
720,214,013,422,251,090,428,077,769,208,918,110,437,572,243,727,107,260,000,
936,301,981,743,385,145,472,434,190,525,763,000,547,368,327,481,320,320,333,
741,069,691,936,345,130,798,584,614,618,591,518,494,596,386,806,942,309,616,
614,702,783,286,994,458,152,353,397,640,881,339,016,815,426,965,799,153,188,
193,800,794,653,027,534,392,005,619,395,549,273,867,842,371,727,293,360,241,
468,935,149,745,372,731,713,039,266,354,968,209,025,954,689,533,352,073,311,
523,947,835,460,063,544,303,091,675,575,665,139,682,432,330,354,969,663,054,
641,497,377,157,635,389,511,896,582,658,932,131,009,930,163,227,969,335,206,
841,985,054,470,277,932,721,180,618,760,290,663,205,355,950,123,152,528,523,
132,946,580,107,854,665,747,900,994,053,802,173,734,904,531,535,538,665,948,
392,269,787,253,414,040,471,540,205,145,171,420,292,830,718,486,481,626,311,
250,794,485,230,844,173,484,216,693,223,296,217,695,226,843,834,102,539,896,
120,770,065,422,077,034,153,697,103,975,349,556,901,315,539,728,462,249,979,
964,849,772,266,782,588,587,440,927,501,093,621,756,519,443,943,684,478,244,
524,865,455,874,517,997,363,867,334,904,000,401,896,759,490,229,119,395,860,
766,317,162,841,641,807,161,322,373,161,658,464,565,180,887,196,594,472,873,
926,836,914,881,855,255,223,346,168,087,296,531,550,543,937,074,237,731,780,
045,271,402,567,403,929,910,028,120,435,938,582,807,773,529,946,575,669,998,
209,821,929,951,919,024,480,248,052,959,091,020,147,480,894,095,088,010,719,
316,498,796,228,134,219,865,605,034,923,156,833,325,039,095,892,807,339,531,
624,472,926,933,138,879,530,105,108,548,567,720,887,575,066,255,223,151,291,
472,257,665,749,285,701,023,691,181,701,562,336,605,221,843,263,664,041,024,
909,083,657,305,944,369,135,769,764,821,900,768,033,165,169,979,460,898,248,
154,054,942,159,069,601,692,904,242,518,134,323,133,180,099,341,516,663,801,
506,998,688,349,293,030,405,767,515,961,806,748,559,857,239,343,134,821,686,
783,998,185,358,377,552,430,225,335,047,010,255,533,548,781,372,296,312,433,
890,759,489,096,850,022,406,060,624,824,231,023,911,581,641,318,769,952,796,
366,544,887,437,662,088,179,251,366,521,162,618,498,309,635,358,369,249,623,
744,784,611,649,216,298,556,429,953,210,163,638,019,291,231,163,203,666,643,
838,205,559,491,284,094,970,006,867,485,460,466,591,303,762,931,957,419,036,
478,697,059,451,036,247,138,633,852,042,568,488,186,399,868,044,118,679,030,
104,717,375,263,440,476,157,198,292,343,511,540,474,468,792,055,597,147,116,
120,019,397,228,107,720,682,624,862,212,888,218,460,025,736,027,365,184,712,
072,401,779,195,577,433,319,290,254,884,422,302,503,060,788,377,852,466,587,
791,222,039,492,358,591,350,685,290,425,819,062,255,583,213,108,026,643,625,
335,431,617,044,974,143,782,375,046,445,476,154,844,138,311,081,012,804,776,
237,158,810,281,105,628,321,012,553,359,146,116,543,142,106,335,070,641,002,
984,479,086,073,494,882,204,584,765,308,101,306,286,417,678,961,039,192,861,
620,615,139,847,850,443,207,235,004,834,476,875,703,100,611,377,846,368,525,
151,329,854,841,230,513,100,682,793,132,970,567,711,886,970,647,146,700,792,
179,238,989,979,499,350,506,441,275,533,114,108,668,301,950,317,460,964,923,
302,737,087,719,975,642,384,663,071,273,813,866,038,013,240,801,366,943,079,
183,302,434,151,448,764,144,999,866,221,083,054,668,812,723,222,259,792,791,
124,532,313,405,030,356,795,510,319,907,148,123,139,680,235,734,608,728,074,
180,438,770,287,140,611,450,569,423,298,743,042,129,388,847,436,558,835,518,
612,105,985,323,432,053,321,230,059,743,527,017,087,265,907,971,033,085,799,
992,169,511,033,518,177,320,740,432,177,376,935,029,620,732,925,234,994,925,
496,353,381,099,142,187,166,435,360,357,907,268,431,228,005,168,369,939,443,
641,854,627,035,398,197,208,702,968,258,976,999,756,264,545,547,102,817,904,
951,180,890,310,185,680,765,744,143,845,756,390,812,510,794,813,718,628,470,
715,303,364,333,296,448,276,020,277,368,333,307,646,241,610,167,943,745,195,
801,776,939,398,031,734,352,161,989,455,534,220,065,667,031,069,832,595,363,
399,705,560,389,407,216,477,544,518,613,024,592,563,613,978,958,544,328,232,
398,999,561,131,952,903,254,642,079,807,732,695,704,377,364,013,848,738,004,
410,897,157,890,144,640,295,746,540,492,738,153,384,492,887,515,677,615,023,
195,124,377,248,365,912,905,808,437,860,289,869,725,248,954,706,755,232,700,
040,667,402,710,404,466,025,045,846,866,618,739,758,277,861,490,001,593,959,
438,195,309,635,282,437,647,445,062,068,648,793,304,679,989,389,173,361,735,
521,379,522,774,762,462,488,768,826,711,950,861,165,995,678,974,822,736,082,
325,396,371,843,645,666,835,674,013,713,408,784,794,760,471,427,119,845,957,
923,160,095,880,159,476,739,992,232,952,220,801,963,729,151,195,489,044,712,
618,688,272,239,335,161,276,721,857,074,507,698,240,507,814,368,044,727,566,
088,174,857,883,940,862,870,774,977,296,742,304,924,034,502,651,524,398,548,
091,879,556,744,932,163,114,913,312,315,533,968,337,139,995,512,298,313,101,
135,332,449,329,005,784,387,116,440,236,947,909,154,457,729,783,602,990,291,
064,647,126,581,744,733,375,219,700,750,649,309,447,975,438,542,701,188,022,
660,512,954,414,892,925,531,117,287,274,680,774,073,786,431,848,421,132,752,
742,928,667,217,480,783,602,089,053,148,736,685,056,460,771,859,427,528,895,
493,603,648,498,389,407,528,566,556,737,063,341,820,821,980,199,648,900,068,
746,711,467,618,019,759,533,913,215,439,229,187,177,801,077,916,739,381,625,
988,839,763,180,877,082,238,860,147,639,682,009,461,272,204,908,307,638,082,
280,481,341,746,355,907,081,752,071,160,727,955,568,482,588,510,155,031,042,
272,070,171,261,591,566,360,938,586,654,846,833,530,078,046,004,920,998,621,
595,804,884,483,775,574,597,491,848,294,611,366,942,645,555,943,075,480,969,
157,861,957,226,129,613,430,383,844,383,877,637,200,653,996,470,564,316,103,
612,961,414,564,505,083,719,566,437,302,373,297,579,188,740,157,840,616,117,
331,449,671,395,378,357,585,881,037,060,439,385,190,153,204,263,506,771,271,
203,671,354,142,273,695,624,498,935,596,345,870,401,400,067,591,883,124,852,
027,171,367,240,286,021,946,299,143,007,592,562,464,850,524,379,914,940,644,
296,036,543,576,673,196,269,118,783,829,006,145,610,554,724,635,023,035,192,
571,272,759,183,569,759,233,955,057,418,491,571,656,968,725,966,058,207,233,
878,075,333,792,610,743,452,598,726,940,603,102,164,276,789,638,987,367,556,
008,580,564,632,900,825,780,297,551,851,333,896,469,365,167,628,969,867,020,
874,882,605,796,097,034,621,233,278,517,946,044,139,821,369,873,792,420,186,
405,483,611,578,044,320,979,382,062,647,180,259,694,922,022,355,976,755,592,
136,061,435,094,725,728,436,330,855,457,693,344,540,382,156,279,529,250,938,
274,878,612,023,560,762,794,684,884,647,810,687,156,445,426,362,247,315,512,
454,761,861,684,561,542,127,816,357,280,812,670,351,676,899,911,348,989,623,
013,180,378,626,492,300,974,017,113,938,113,603,779,689,772,464,234,107,519,
409,386,402,671,558,923,481,673,297,286,037,951,840,148,107,167,796,364,436,
402,977,524,117,511,086,316,385,642,234,166,055,299,912,139,687,934,991,684,
597,010,280,776,196,069,292,280,049,434,346,697,617,023,475,158,102,611,869,
108,637,044,832,192,181,581,535,126,429,343,544,720,538,417,256,687,528,838,
322,942,527,522,401,310,436,596,757,601,820,146,718,705,231,325,611,457,701,
125,763,026,218,217,912,006,137,179,321,946,774,234,134,968,780,046,663,328,
636,562,972,366,674,025,168,092,670,474,448,869,242,253,925,703,460,547,966,
262,235,487,734,751,020,060,188,974,409,973,011,199,667,292,119,246,947,211,
055,851,536,933,946,634,180,357,327,372,808,704,930,490,594,880,459,660,898,
329,330,214,529,428,821,366,435,732,966,029,427,917,124,458,019,723,841,624,
972,169,538,337,769,254,674,019,135,901,002,722,941,489,723,641,387,829,206,
217,580,205,466,331,392,849,090,405,605,381,534,342,327,745,731,278,046,796,
791,979,216,484,968,916,567,225,433,919,711,515,364,749,339,550,730,061,821,
740,763,870,497,763,184,325,352,724,232,875,797,594,212,153,278,179,518,081,
974,707,080,345,171,852,734,291,884,571,922,981,783,066,756,490,708,944,649,
711,060,811,776,803,162,250,096,452,735,420,991,517,441,270,469,013,399,994,
088,253,412,172,063,900,104,005,131,122,268,213,741,410,490,063,410,179,838,
195,077,583,987,997,942,620,716,524,178,866,741,242,278,234,327,978,769,799,
993,605,254,641,411,868,074,629,009,771,163,728,144,636,200,414,247,056,793,
950,864,797,371,340,717,083,680,930,607,217,513,769,974,798,028,793,341,433,
178,806,640,885,089,489,306,190,718,330,293,127,524,564,081,108,343,015,501,
371,817,454,261,505,375,003,154,587,325,902,295,681,529,876,637,997,315,771,
365,458,195,529,076,712,194,025,835,688,749,796,899,894,551,727,823,282,395,
466,592,278,362,828,542,144,447,193,969,009,851,007,139,482,489,692,233,991,
719,042,715,460,653,817,850,599,457,332,738,110,171,712,620,436,054,009,184,
275,658,230,784,738,641,836,918,651,466,769,000,168,527,188,262,196,001,331,
602,956,315,549,275,150,956,717,880,603,085,540,945,473,977,131,616,992,181,
381,889,745,198,349,798,862,322,867,965,523,481,218,518,604,259,850,391,617,
726,235,647,345,158,604,511,573,964,709,142,082,362,156,339,421,769,754,058,
470,349,545,071,199,178,887,653,584,188,790,794,757,412,570,817,772,329,400,
231,060,678,010,368,591,779,655,341,016,437,249,619,508,436,584,429,826,826,
659,072,462,752,484,168,991,883,577,802,937,859,664,198,164,165,983,051,222,
913,787,324,231,118,766,100,727,454,518,590,694,755,673,735,925,472,756,685,
196,312,153,668,894,541,997,965,990,477,074,673,065,918,340,424,708,524,481,
152,019,233,755,976,395,407,005,063,186,461,078,136,576,870,479,724,087,571,
072,440,202,903,215,879,100,131,647,065,432,732,544,483,586,388,390,935,726,
446,514,443,262,701,034,528,511,151,771,109,395,603,733,450,223,645,743,247,
647,704,517,652,308,294,619,708,627,296,085,313,901,492,761,619,489,436,693,
150,643,082,369,727,107,482,953,306,155,132,117,667,286,257,165,776,669,213,
247,699,032,057,377,698,839,297,614,431,564,777,947,798,051,428,999,504,142,
663,104,535,396,587,866,233,783,870,337,319,537,596,303,479,898,871,637,957,
827,688,245,513,541,487,025,437,852,304,028,284,856,816,298,150,866,724,893,
349,104,915,571,336,776,444,582,266,181,237,863,504,465,097,277,088,217,421,
581,219,309,860,725,288,601,687,122,444,644,329,428,827,437,217,202,305,923,
203,186,931,234,112,616,796,626,234,135,996,323,058,661,628,236,473,588,810,
439,968,924,859,812,682,168,420,398,685,579,228,933,154,552,880,587,059,203,
914,650,346,915,896,325,308,135,362,005,567,818,960,800,108,913,040,092,230,
632,916,419,410,046,631,550,187,754,889,106,818,770,136,797,327,572,528,818,
724,935,410,612,062,230,722,422,058,947,028,906,703,436,222,444,850,174,818,
685,267,438,151,157,928,656,932,414,327,421,857,809,526,196,497,944,322,961,
459,219,490,725,641,344,330,639,398,928,486,178,981,573,985,270,948,174,033,
049,749,037,644,577,186,402,212,116,287,026,768,335,847,121,021,549,700,285,
958,906,894,776,731,134,257,934,358,253,598,299,286,458,635,893,435,079,402,
661,525,710,655,599,708,894,179,743,713,510,424,857,141,625,530,523,299,116,
818,511,516,123,441,179,920,563,991,178,757,828,034,648,646,865,222,515,797,
357,232,486,713,427,981,357,991,674,121,515,633,384,485,072,789,376,460,929,
392,067,370,463,330,802,579,333,757,418,774,046,360,334,050,842,953,698,700,
670,973,250,250,097,030,905,228,512,583,846,367,547,147,034,657,622,281,842,
741,437,645,361,163,303,806,730,667,741,239,785,349,357,735,759,258,618,400,
525,607,686,255,252,731,761,658,587,810,634,769,475,498,284,356,854,672,786,
416,158,820,965,053,879,173,195,417,486,846,884,515,459,481,415,511,279,149,
187,829,738,521,455,490,105,661,533,409,049,918,303,245,699,945,659,092,547,
914,271,646,956,496,948,457,819,537,349,029,244,691,286,864,625,450,669,742,
929,758,372,593,326,744,849,637,618,062,421,802,920,992,614,972,952,810,831,
093,899,793,656,411,764,449,279,120,076,170,117,494,414,892,799,813,555,021,
503,939,096,050,954,626,751,367,487,448,701,168,476,803,594,442,534,586,720,
000,757,747,955,522,790,148,114,539,713,060,953,632,662,599,101,333,772,280,
767,703,052,118,914,651,186,915,777,128,407,197,501,742,841,539,616,596,962,
583,664,311,006,089,900,188,542,515,982,270,013,565,349,555,878,346,058,980,
865,229,480,043,217,294,888,620,333,183,724,265,462,207,845,484,970,791,056,
964,972,674,483,186,985,005,592,409,529,121,414,579,986,782,166,084,447,783,
988,109,889,380,264,609,066,764,649,559,201,944,313,303,454,763,151,132,774,
773,909,133,635,836,497,056,593,617,248,181,323,226,691,474,746,589,729,299,
593,446,294,733,027,912,575,366,190,368,645,664,726,384,386,150,368,674,256,
299,068,555,578,517,607,621,558,497,205,989,535,658,639,381,690,787,203,316,
475,021,724,542,879,573,700,159,142,936,641,686,581,869,386,539,182,371,124,
806,730,289,717,575,200,242,831,226,216,669,703,983,618,671,430,825,276,763,
693,100,465,608,258,356,468,397,769,333,897,829,941,907,792,162,747,717,328,
505,946,275,309,534,238,744,664,405,350,526,129,640,231,557,834,187,854,368,
134,349,438,233,031,645,539,245,635,480,578,491,470,387,369,021,325,361,342,
463,034,036,372,703,485,019,210,155,481,716,599,796,983,800,738,967,924,272,
552,504,449,337,505,514,335,999,491,270,217,507,914,203,697,320,373,523,990,
739,461,403,025,883,059,612,748,157,729,171,302,317,840,011,121,852,083,886,
082,301,670,959,876,256,781,699,545,728,159,090,281,875,775,207,757,318,635,
071,691,997,516,542,625,065,681,702,348,082,630,777,331,842,986,387,655,742,
230,606,950,173,332,645,378,860,015,681,279,938,973,323,722,328,915,769,225,
555,970,986,031,359,024,222,295,327,862,793,763,067,064,162,332,564,539,095,
463,547,041,072,209,122,373,234,690,599,884,386,196,045,808,657,196,191,367,
056,909,000,608,133,553,265,639,924,395,163,621,175,423,087,346,398,969,155,
362,290,156,975,554,154,928,799,012,964,387,025,053,116,484,731,440,516,863,
354,896,884,495,525,083,151,072,401,497,529,641,934,584,313,975,145,901,477,
438,530,887,058,446,970,956,954,825,396,801,890,046,805,115,651,795,501,955,
898,598,210,014,159,688,543,373,526,031,708,492,352,559,199,722,041,701,917,
488,282,868,578,279,823,616,914,615,524,372,193,540,377,456,588,779,454,696,
241,579,197,081,553,839,077,521,084,179,637,129,240,788,735,873,423,929,635,
823,284,422,785,540,171,340,126,227,252,677,012,738,792,410,235,939,716,331,
319,205,494,899,575,859,347,860,040,545,742,879,265,498,277,824,821,130,500,
203,816,949,328,948,350,184,441,980,302,646,629,517,199,342,361,496,942,863,
150,265,666,153,116,680,211,576,190,732,223,905,233,214,977,328,047,138,953,
150,577,971,266,709,927,888,981,049,084,756,328,632,826,519,178,412,556,297,
169,304,520,735,261,067,432,450,604,807,089,408,744,553,150,500,988,657,964,
764,102,943,232,414,412,550,806,018,977,539,716,186,119,483,036,206,741,028,
096,223,000,877,490,660,447,137,608,299,229,092,703,782,944,908,990,407,684,
291,155,997,374,997,990,262,966,362,254,164,232,651,466,094,443,212,536,559,
266,331,436,214,673,549,382,714,403,189,648,491,227,460,391,341,767,088,631,
711,079,971,489,138,631,752,429,729,241,248,323,052,146,264,239,889,538,202,
124,921,986,516,296,602,083,462,363,620,096,047,367,483,559,224,481,329,291,
215,414,457,339,025,538,949,162,649,684,390,063,971,246,929,940,315,026,966,
004,972,269,478,064,176,549,067,327,583,109,061,342,256,300,683,058,414,271,
241,128,447,483,287,744,976,792,161,804,829,458,517,599,772,394,031,064,107,
713,122,048,083,266,801,184,997,692,038,611,703,801,524,623,346,165,492,250,
170,651,165,497,560,911,634,320,902,230,760,703,796,195,936,519,603,454,629,
988,300,062,357,609,908,723,686,285,386,116,150,506,045,396,190,486,483,768,
200,097,535,003,290,241,991,035,557,537,657,662,678,789,563,796,147,700,452,
540,175,260,303,335,958,296,500,175,158,397,775,953,579,340,051,692,201,644,
632,733,623,819,942,155,904,161,822,804,400,374,473,470,071,061,269,082,445,
583,622,783,213,914,572,659,512,763,295,220,343,192,102,864,006,402,843,832,
285,474,238,803,541,933,396,649,986,111,277,066,373,012,937,073,399,105,529,
411,707,632,832,545,673,676,852,904,533,806,296,687,567,395,928,928,482,099,
450,055,688,895,885,749,516,568,872,894,881,107,880,812,372,909,211,540,585,
559,808,947,646,156,293,771,159,245,349,390,143,575,886,517,128,603,498,063,
405,393,471,659,517,757,837,130,434,650,168,185,468,748,502,768,852,358,740,
520,701,162,827,714,349,338,496,631,593,903,815,616,360,485,224,373,727,924,
380,505,041,963,586,152,760,229,506,979,208,963,917,869,915,749,910,616,815,
075,899,007,874,729,678,990,340,791,338,838,921,965,243,784,393,988,011,693,
341,400,158,200,870,391,112,879,733,734,824,940,276,129,958,168,679,797,619,
094,663,376,041,654,380,906,784,346,196,292,402,291,104,145,346,829,965,883,
352,268,272,448,213,425,876,559,919,016,063,055,921,677,349,682,297,068,640,
411,859,291,814,579,242,369,091,448,586,831,720,463,686,706,265,671,846,874,
440,336,083,121,483,652,433,502,712,355,001,451,292,352,291,436,791,720,226,
430,845,400,818,420,177,517,932,769,679,680,038,095,890,896,639,496,214,206,
883,281,073,388,672,493,226,630,569,790,178,227,694,626,172,625,020,257,336,
367,331,911,317,214,344,749,355,734,362,323,248,566,913,264,265,011,509,414,
617,507,599,989,296,285,743,187,248,358,686,564,878,114,941,054,177,388,394,
810,347,472,586,835,365,396,645,035,643,698,716,353,311,084,918,780,906,251,
084,267,280,697,010,945,277,139,035,398,763,191,096,044,441,373,055,088,224,
880,977,650,147,620,910,714,145,715,348,655,561,012,012,761,094,799,156,727,
005,820,593,124,846,599,137,831,421,965,168,528,077,607,029,427,425,332,027,
326,609,413,972,509,387,247,301,952,231,084,391,183,327,901,664,841,471,686,
985,172,760,824,878,899,160,895,425,050,626,915,942,760,069,566,238,681,866,
589,872,271,305,311,703,399,668,031,923,371,746,341,850,630,202,819,994,658,
863,641,325,557,967,827,979,604,149,963,752,446,405,626,783,574,681,112,623,
561,633,584,232,774,175,423,391,312,943,674,021,354,411,648,285,617,051,335,
503,684,286,759,530,963,481,660,979,691,952,179,003,354,056,214,513,652,849,
533,714,085,489,806,252,787,793,886,730,436,813,110,406,812,347,614,117,522,
111,095,915,921,843,505,980,847,745,188,736,712,734,086,857,915,111,103,830,
844,188,606,961,595,557,094,151,579,554,455,741,471,680,385,662,585,872,135,
400,560,623,783,540,863,823,837,466,429,067,197,875,585,078,137,523,348,790,
423,022,800,023,814,157,942,781,313,381,090,756,691,483,253,524,169,372,813,
488,632,302,989,331,583,043,824,606,569,996,202,179,619,802,925,057,061,449,
798,289,650,540,789,246,488,202,029,489,878,806,293,314,052,269,287,124,989,
411,724,826,362,760,946,124,730,908,615,745,031,866,644,508,193,147,757,193,
749,403,432,414,694,530,872,184,903,340,593,936,879,447,184,629,629,765,276,
618,686,453,833,853,309,479,347,312,188,519,577,024,387,142,168,791,607,457,
221,351,961,949,542,650,605,649,964,409,365,496,146,360,022,340,305,598,058,
363,143,147,833,137,839,811,548,883,672,479,865,110,153,482,552,066,136,064,
421,035,046,423,863,932,021,851,316,958,728,026,850,152,386,063,899,932,456,
181,000,733,727,446,979,895,882,474,249,020,570,977,990,596,673,794,794,445,
895,413,374,404,833,506,524,265,583,079,160,248,750,626,376,172,519,262,252,
858,819,914,567,567,760,628,744,212,262,013,837,954,623,076,074,292,757,641,
640,241,138,250,331,060,766,760,384,330,108,083,472,621,390,809,870,876,512,
027,694,955,043,917,592,657,600,622,086,508,609,925,542,285,845,277,822,332,
743,900,250,255,794,006,729,192,872,521,878,561,937,788,816,139,683,317,863,
174,481,059,574,366,215,681,502,414,185,672,694,150,793,313,543,282,971,582,
254,193,096,555,568,723,909,047,151,989,202,753,731,731,319,079,578,984,197,
741,091,370,739,157,077,033,102,559,919,110,991,296,653,402,042,013,173,671,
906,729,570,402,530,942,366,303,148,702,115,994,607,068,195,559,179,098,619,
814,732,542,740,238,256,078,726,268,496,883,442,474,152,077,873,892,146,894,
199,946,733,205,765,487,252,285,095,427,288,057,153,012,921,228,161,054,270,
632,675,821,674,400,740,817,067,376,680,399,824,200,059,595,555,745,829,824,
714,761,754,260,492,691,768,780,523,579,127,997,461,408,606,788,786,094,992,
011,175,540,159,886,793,426,618,593,206,241,524,140,159,753,910,412,016,255,
944,341,060,812,230,959,243,059,781,300,114,938,742,712,494,572,155,908,140,
675,883,167,650,510,922,176,481,424,495,038,764,383,600,821,745,727,917,717,
719,827,083,133,351,242,794,660,114,992,001,820,523,562,576,799,719,547,224,
563,512,842,774,585,486,975,447,899,647,734,129,792,105,209,903,277,430,297,
710,104,791,131,583,509,985,887,695,515,700,301,621,378,944,878,869,191,479,
211,691,547,881,823,301,991,466,416,570,004,491,841,794,307,895,547,581,130,
115,150,940,273,170,227,851,115,757,964,294,398,572,335,823,173,868,162,929,
164,735,485,027,459,803,568,753,211,676,150,642,230,820,827,113,563,103,071,
389,876,183,468,452,866,699,254,237,952,314,266,249,685,360,484,923,426,343,
099,966,311,501,160,149,494,079,660,389,209,866,026,972,172,072,426,432,301,
042,874,575,378,269,772,048,735,364,553,825,538,085,108,826,919,116,460,999,
149,813,469,640,774,023,490,465,620,407,019,817,999,871,495,945,725,303,419,
513,926,615,142,507,302,720,222,487,721,542,730,176,838,975,764,034,008,608,
203,476,700,540,431,144,721,301,113,032,829,813,014,610,471,274,107,051,626,
617,707,154,454,039,854,865,950,547,979,084,684,966,006,232,306,026,181,548,
548,430,460,672,884,567,919,108,679,777,451,024,206,356,415,252,212,318,132,
450,426,048,070,987,880,658,100,767,668,823,002,304,034,378,395,967,436,782,
819,133,278,441,789,538,251,092,254,610,677,965,317,086,750,777,300,768,876,
958,549,734,933,476,447,364,495,622,725,184,184,786,689,477,456,722,780,801,
158,639,017,397,603,963,851,309,789,042,678,795,324,753,402,572,729,201,439,
626,148,947,164,866,927,612,984,331,793,567,661,540,371,758,322,827,615,811,
812,631,615,026,312,245,590,997,737,252,442,377,790,148,195,292,199,535,556,
011,157,144,448,901,512,679,903,228,662,834,904,763,271,053,939,400,099,780,
239,771,191,123,580,374,390,923,661,132,659,483,571,841,492,167,172,973,746,
988,338,042,001,873,527,817,055,987,671,399,584,475,080,046,949,508,754,549,
337,768,099,368,365,425,690,550,516,491,826,728,595,913,486,391,496,223,321,
213,756,380,647,648,187,639,645,644,397,101,371,915,669,312,192,850,855,093,
163,734,357,992,671,560,577,728,967,840,784,924,052,461,617,653,630,925,564,
912,371,145,267,835,400,644,430,952,268,351,876,776,219,640,410,433,433,254,
131,239,949,087,614,955,172,607,126,800,592,341,940,991,035,959,065,781,088,
552,847,850,656,865,777,683,043,369,446,160,441,987,894,950,799,046,514,743,
545,657,180,076,193,499,945,010,273,061,469,890,740,544,711,385,367,359,415,
403,053,482,495,768,754,958,804,528,140,109,109,330,085,976,515,598,107,806,
811,124,476,037,223,728,604,235,051,654,334,855,975,597,060,234,694,111,075,
121,514,766,244,694,822,009,127,331,170,892,669,722,138,538,947,710,426,443,
850,313,068,536,312,182,076,168,545,839,523,133,784,443,549,518,005,886,382,
024,340,985,284,604,134,249,635,723,346,532,914,202,733,553,991,587,827,265,
055,373,572,737,062,004,408,170,752,886,786,831,655,591,153,102,121,946,520,
070,476,356,891,989,544,658,245,378,405,272,690,110,454,094,564,873,373,251,
297,864,076,110,800,703,168,499,539,608,188,239,025,593,020,277,397,870,362,
169,978,816,273,470,286,755,966,108,071,312,263,822,719,692,738,374,812,378,
754,345,799,271,328,535,331,452,781,728,756,095,212,578,931,520,810,249,405,
325,444,405,411,075,234,663,328,338,870,931,674,554,566,177,067,642,320,816,
372,771,540,254,690,950,996,130,757,959,853,955,979,300,866,417,049,605,813,
888,807,936,130,135,355,330,038,781,026,290,135,505,103,677,154,147,128,908,
609,155,102,515,969,110,092,760,015,278,492,798,406,207,219,139,326,735,231,
375,261,674,688,806,118,134,404,468,408,207,656,957,609,341,530,354,372,988,
906,162,448,741,382,775,150,327,555,455,156,012,541,287,696,716,874,778,956,
307,766,885,537,158,926,918,758,504,971,167,220,340,175,073,581,151,681,899,
465,065,573,015,885,344,571,540,087,133,763,059,242,069,696,268,803,260,987,
298,691,831,573,722,188,213,620,942,886,956,684,831,345,899,290,181,183,458,
011,586,402,745,098,149,974,599,326,505,055,876,560,513,128,343,885,205,214,
095,962,820,368,661,720,721,715,330,747,425,368,849,954,155,966,367,063,589,
045,185,095,945,646,264,650,831,241,832,309,853,042,790,253,906,073,301,023,
719,517,627,637,680,428,273,315,884,641,491,071,421,828,858,860,848,949,979,
617,779,265,157,135,036,025,547,614,416,226,118,117,225,335,204,906,130,995,
312,503,562,347,920,995,885,981,157,584,147,671,835,685,972,805,571,846,716,
885,911,527,603,704,390,262,000,380,842,891,916,204,759,142,359,031,348,454,
805,420,368,669,378,991,286,683,433,990,324,051,528,795,997,113,593,592,524,
963,069,626,171,943,580,761,623,783,686,999,778,002,178,203,579,171,212,386,
848,828,250,173,982,472,560,734,631,648,408,237,187,718,395,486,099,258,257,
264,972,326,238,952,659,425,724,667,249,237,756,224,745,206,405,463,604,344,
901,833,209,735,453,124,711,473,684,526,188,519,715,281,385,903,776,378,182,
797,665,487,390,038,981,916,556,346,818,613,644,351,513,411,838,210,373,002,
227,918,523,099,341,567,924,758,214,824,998,674,088,246,104,117,727,970,276,
765,338,405,850,853,588,689,247,479,124,654,599,067,563,415,833,842,201,270,
254,550,849,655,522,324,250,589,497,490,447,436,787,334,373,227,304,801,794,
567,156,348,843,177,699,608,768,586,211,359,452,941,101,690,570,307,560,266,
610,640,407,497,755,195,364,173,784,136,779,214,686,627,203,198,235,300,662,
758,420,631,962,003,034,042,085,465,655,260,975,492,086,733,445,029,327,794,
900,194,939,608,612,657,877,895,763,725,412,016,725,466,520,968,984,582,821,
534,551,102,105,949,936,166,991,738,969,406,954,010,480,613,211,725,401,555,
672,159,304,937,849,358,385,598,485,648,183,123,592,722,470,441,923,966,698,
213,322,326,204,151,301,079,010,939,482,564,429,582,809,993,279,413,665,773,
464,700,258,823,006,344,118,352,672,800,484,612,726,334,996,501,260,480,287,
894,074,165,837,200,696,538,315,006,657,986,359,617,977,203,673,022,733,623,
636,616,644,670,906,519,251,038,360,015,574,448,711,354,531,766,819,703,121,
335,220,816,419,442,309,176,046,191,629,169,079,138,832,864,988,398,873,920,
375,888,296,014,459,969,688,357,719,463,707,460,416,370,329,449,991,704,342,
774,611,044,715,942,848,352,521,027,566,666,739,354,222,561,481,413,260,090,
314,250,638,453,305,386,425,824,886,948,417,449,831,937,616,659,931,232,704,
535,574,749,555,446,961,348,927,958,129,828,318,118,803,830,326,597,057,591,
568,163,684,349,767,617,222,735,514,307,844,454,135,837,808,680,711,627,731,
134,164,474,300,489,639,481,937,727,531,903,529,527,035,356,057,581,801,529,
737,459,554,686,488,627,082,409,184,779,440,333,522,584,919,781,199,351,484,
477,209,030,239,393,699,797,812,764,129,421,211,984,057,196,666,447,146,238,
678,688,493,539,194,591,347,540,722,737,894,793,397,992,628,196,801,058,340,
063,709,226,128,627,696,081,058,279,455,457,590,963,136,838,669,894,651,842,
718,106,572,655,599,557,970,769,800,895,230,168,523,192,085,008,480,973,560,
744,000,561,827,621,289,626,947,473,373,110,747,631,802,352,526,880,660,710,
995,047,695,428,458,848,505,752,865,186,629,241,455,444,035,172,534,099,804,
700,853,111,256,487,941,356,748,735,355,656,534,360,665,761,533,879,600,692,
375,968,380,917,424,646,238,705,690,767,817,885,201,523,979,942,443,043,428,
634,977,330,659,153,494,584,560,249,641,675,235,499,146,370,782,396,496,858,
134,682,798,126,838,890,513,570,341,883,818,722,723,715,820,702,898,970,233,
471,463,282,370,089,421,680,020,559,894,918,987,688,011,757,809,931,189,957,
541,409,985,445,073,767,264,024,647,684,880,749,422,852,901,556,245,338,165,
295,480,717,070,692,872,783,976,595,232,953,238,938,065,885,772,576,284,658,
243,696,533,530,910,903,068,153,688,480,852,652,167,348,081,925,253,379,330,
180,490,256,194,276,208,685,821,865,731,772,462,171,344,509,797,964,737,959,
138,230,433,435,657,327,148,906,332,177,522,639,922,946,042,439,552,573,206,
690,851,162,510,136,209,790,085,988,440,665,006,677,524,263,551,529,200,238,
940,169,934,177,314,436,396,501,827,620,375,164,443,477,292,859,127,642,251,
780,461,716,631,989,100,457,069,379,739,660,069,026,790,673,659,393,445,818,
561,517,808,522,375,772,639,794,248,558,177,638,157,135,721,745,489,209,203,
001,054,957,551,099,056,918,264,360,153,567,492,445,834,414,414,172,229,956,
555,386,641,398,549,541,613,469,567,638,754,944,365,158,817,613,782,922,045,
926,084,201,169,734,289,128,469,122,268,973,377,424,580,280,681,481,181,968,
840,704,551,138,028,166,305,194,179,834,297,314,228,329,301,993,951,915,575,
942,455,805,124,100,549,715,724,255,731,438,909,070,549,806,016,570,878,527,
552,842,603,690,010,224,561,241,115,874,019,078,008,288,090,162,265,738,089,
572,139,462,204,085,257,908,956,313,201,021,227,672,253,038,004,886,753,580,
211,283,752,820,934,175,075,855,516,762,428,634,734,583,975,905,058,313,637,
802,469,169,686,779,451,578,983,713,020,561,526,842,274,128,129,509,101,540,
782,951,573,262,526,332,576,927,227,759,937,735,562,847,946,630,954,311,900,
711,335,284,367,904,309,278,726,552,832,447,069,830,169,173,720,546,979,310,
532,933,244,334,740,306,709,819,899,414,025,022,538,000,118,655,783,591,242,
285,574,818,708,753,487,611,497,095,316,605,255,178,033,663,295,431,470,037,
544,760,149,426,063,780,508,667,119,041,338,422,019,012,474,864,600,019,968,
079,865,272,941,770,471,984,341,332,832,715,797,063,735,893,985,611,504,534,
143,711,315,875,650,517,626,177,203,210,304,707,209,469,315,451,694,910,327,
812,710,350,625,248,647,039,313,097,357,970,700,546,635,880,269,270,267,299,
986,857,550,054,130,068,127,093,866,466,382,970,158,203,678,922,860,361,224,
925,518,155,126,888,799,851,095,394,582,352,212,529,895,094,886,974,584,793,
260,056,413,203,966,972,100,733,987,091,967,530,295,060,457,073,987,494,793,
022,646,580,462,700,514,464,767,842,275,119,237,716,023,898,321,217,849,903,
881,979,391,322,408,819,662,271,521,600,682,182,371,288,971,257,343,983,207,
059,578,701,851,936,344,814,201,323,082,915,400,608,150,441,145,105,743,331,
415,181,088,959,110,976,218,467,968,565,773,744,950,663,179,526,102,135,280,
676,846,291,434,842,005,651,849,696,724,847,427,868,735,296,781,808,030,510,
185,533,574,987,208,941,385,032,213,138,902,401,145,062,244,462,215,371,420,
574,820,471,422,950,645,574,099,508,022,738,039,131,249,284,385,275,561,283,
390,228,026,190,842,531,430,948,800,877,620,078,872,523,436,853,929,659,680,
905,164,145,197,785,282,974,905,447,393,021,328,007,174,731,974,770,500,363,
868,696,800,507,390,756,946,144,239,021,791,074,784,571,039,339,312,181,717,
244,191,248,708,597,321,769,280,887,628,497,951,099,298,123,243,520,807,459,
748,462,284,105,848,388,325,025,780,314,463,983,715,233,873,958,073,475,274,
385,810,701,844,006,263,939,127,108,560,199,154,978,770,855,044,316,686,614,
466,613,481,962,385,060,850,318,623,915,805,702,240,169,584,316,956,334,359,
950,350,901,829,907,119,770,318,738,469,463,760,721,702,547,698,087,516,864,
279,435,246,621,801,531,453,277,333,943,812,484,737,323,849,876,766,185,944,
689,275,229,079,549,445,724,805,365,236,068,568,914,969,722,523,186,589,677,
317,287,798,748,302,824,819,473,238,374,971,181,103,731,054,888,560,431,002,
304,400,916,811,469,127,402,750,733,005,044,145,382,962,075,162,735,044,041,
328,829,124,701,398,348,894,805,647,697,507,703,475,023,292,962,104,407,062,
284,597,012,307,806,024,889,555,335,659,937,352,756,980,987,274,230,975,010,
940,192,721,335,526,082,345,954,294,362,126,925,267,233,662,892,208,487,248,
251,855,161,510,715,500,358,390,673,828,749,307,882,296,390,931,047,291,044,
328,581,878,664,303,003,423,554,098,680,251,909,067,942,954,539,806,939,523,
554,299,836,472,906,341,067,347,720,223,967,003,240,868,175,427,967,298,404,
410,208,888,908,504,103,994,605,513,609,196,751,767,043,880,246,487,067,170,
451,647,837,693,483,616,142,219,138,354,910,329,154,993,139,660,112,999,431,
430,316,870,698,977,220,040,642,005,879,647,369,480,184,043,811,900,622,129,
105,095,687,857,553,269,876,221,598,620,943,194,307,419,872,735,776,380,764,
858,736,885,021,339,794,364,345,860,987,952,356,926,072,837,676,775,579,779,
728,135,784,622,698,178,198,272,205,789,772,602,411,291,467,807,239,624,920,
451,729,246,734,045,709,591,550,901,213,572,393,637,483,471,350,797,679,860,
091,746,647,484,140,618,461,970,418,560,663,344,977,314,956,350,308,266,228,
549,810,150,636,400,989,374,125,118,210,361,527,995,417,554,015,851,954,239,
031,027,562,325,359,313,997,446,544,593,464,978,046,842,564,937,727,745,802,
757,982,049,368,775,229,303,165,028,643,522,662,757,664,986,942,791,736,158,
089,778,152,380,664,972,845,702,509,641,787,095,453,799,139,805,374,959,004,
230,469,555,806,407,112,297,878,339,420,805,853,593,293,059,784,468,455,344,
971,369,489,824,879,693,294,505,766,762,996,747,895,163,854,159,277,123,006,
540,027,231,702,162,925,531,492,976,661,791,981,247,972,810,798,679,656,794,
182,454,164,925,196,152,209,908,108,313,003,460,096,377,374,509,151,432,203,
973,838,319,871,359,437,981,079,057,673,498,720,874,512,257,917,283,399,987,
378,732,571,563,409,261,259,738,724,623,459,930,974,276,354,584,604,824,776,
379,148,371,434,797,125,797,521,428,377,057,872,263,572,587,625,781,870,292,
878,309,620,157,297,164,240,922,783,422,664,110,966,160,209,331,771,539,201,
187,633,381,215,080,797,713,773,398,756,904,111,246,022,864,084,966,406,957,
434,478,183,648,711,172,952,335,043,843,945,828,498,838,769,825,678,727,019,
381,760,729,465,698,492,336,077,284,616,723,694,313,322,352,700,633,519,104,
459,076,832,929,257,904,390,210,908,292,675,541,360,487,677,586,364,054,085,
473,267,899,561,641,241,541,908,123,195,076,593,676,622,648,962,708,264,377,
969,474,876,864,051,479,930,988,940,843,412,691,476,841,856,390,155,573,907,
300,567,854,690,256,911,424,454,196,136,819,413,789,649,196,156,793,368,069,
951,477,884,600,396,738,525,997,216,753,692,426,536,269,921,411,689,300,283,
985,465,384,608,317,593,150,215,392,835,169,756,713,729,078,274,155,582,414,
287,743,420,825,617,071,663,899,419,520,894,346,401,574,573,782,743,197,924,
847,532,123,060,733,511,408,323,228,378,258,052,220,903,582,205,122,402,244,
055,703,612,529,589,217,846,037,849,750,565,823,543,519,987,146,662,653,400,
688,907,503,772,096,675,925,675,003,049,994,948,397,361,272,408,415,763,419,
570,158,613,965,407,258,639,333,578,610,885,492,677,454,010,573,358,239,928,
204,249,190,152,503,985,864,615,965,081,818,924,522,697,670,489,969,027,742,
564,469,485,944,253,689,019,302,730,201,895,687,418,903,126,798,344,140,787,
046,252,439,177,055,240,679,296,908,709,163,414,239,232,674,825,958,804,403,
183,506,741,219,886,673,105,460,456,286,485,639,273,419,527,040,717,361,424,
466,024,475,005,389,147,537,995,940,407,427,133,836,918,979,003,337,300,103,
815,863,169,574,994,755,139,765,493,461,289,289,718,187,059,440,990,123,781,
512,421,817,052,608,733,226,657,978,468,811,153,767,700,130,582,011,885,466,
970,388,604,726,671,471,065,334,920,972,065,242,333,053,582,707,877,024,530,
046,690,618,721,252,565,522,129,491,312,978,663,669,316,397,950,820,973,119,
747,223,594,293,885,695,926,837,782,827,619,490,788,109,745,752,859,755,214,
200,817,423,200,437,738,171,681,963,538,766,103,040,574,984,896,321,981,911,
067,806,758,108,389,114,457,236,694,301,870,250,523,636,094,006,357,707,409,
201,101,310,271,922,692,815,952,903,838,107,680,311,813,180,209,948,945,397,
200,376,829,959,605,008,143,208,909,237,984,131,276,389,541,366,469,296,148,
615,106,716,439,302,030,732,405,155,438,690,324,225,974,272,506,269,852,234,
706,525,685,551,364,627,529,184,192,912,140,765,496,244,506,990,745,930,579,
013,952,547,707,256,217,441,209,165,938,742,668,659,637,653,273,373,166,842,
005,503,610,389,652,611,239,363,920,221,765,504,903,517,615,883,038,490,208,
461,236,924,614,862,090,845,969,243,989,199,158,379,643,459,620,465,281,276,
461,235,039,564,537,347,313,516,091,269,864,719,371,689,033,758,198,151,994,
633,275,532,930,919,195,922,804,266,177,178,448,869,700,067,084,927,798,527,
259,398,931,578,014,658,441,734,751,805,499,896,468,747,058,706,908,173,717,
820,966,503,617,224,572,435,068,724,040,204,913,707,618,540,684,777,306,189,
732,129,657,187,377,824,059,829,225,152,017,845,063,988,572,780,890,816,736,
107,861,147,213,144,215,630,256,414,856,693,213,338,610,146,085,926,995,274,
250,044,351,964,876,338,167,695,263,439,148,975,603,681,214,803,041,783,012,
148,545,584,788,133,902,759,374,730,985,112,983,822,549,794,713,193,650,494,
479,296,688,144,821,557,639,964,521,290,976,106,592,770,805,870,288,527,132,
697,232,183,039,238,131,894,567,574,492,485,193,925,293,610,617,724,216,876,
683,215,803,712,990,623,965,737,342,846,588,903,515,550,146,398,864,786,726,
916,527,206,993,846,694,079,612,025,710,993,601,669,711,776,474,695,778,508,
199,626,325,428,403,464,207,697,305,468,488,127,807,084,849,024,365,818,239,
449,575,325,262,017,115,543,186,046,395,780,069,551,740,035,252,393,741,953,
801,881,861,769,298,516,682,791,172,369,005,919,959,563,908,712,248,833,134,
948,917,852,736,452,199,973,612,999,657,816,814,027,541,502,570,534,140,668,
848,882,749,918,985,940,337,690,432,057,465,534,418,707,634,917,323,613,986,
048,863,931,886,879,783,564,839,519,269,648,740,702,668,780,497,105,539,468,
752,201,654,443,504,094,192,581,888,827,208,470,924,586,256,857,726,173,373,
275,151,299,061,852,941,811,103,620,109,772,178,243,155,669,179,481,117,159,
898,871,288,965,304,401,866,295,306,103,025,274,165,666,205,230,513,018,104,
236,526,671,034,359,131,503,652,929,595,531,596,573,488,825,222,607,348,389,
630,340,057,020,344,751,588,248,123,888,934,237,472,463,078,393,411,779,289,
033,131,939,843,579,259,483,773,229,709,033,411,170,632,234,850,838,674,196,
686,335,555,972,200,971,259,791,497,055,544,753,847,758,045,645,181,885,414,
550,988,909,601,855,331,482,442,518,288,084,184,298,181,892,648,693,978,262,
818,667,628,289,584,698,443,741,600,518,608,932,711,378,866,287,293,116,278,
212,978,788,205,358,572,886,553,306,976,819,825,240,492,955,810,272,341,121,
908,609,706,980,094,514,988,827,969,580,798,575,757,098,635,745,046,891,472,
401,398,008,328,762,366,300,473,844,400,310,860,908,972,257,307,809,155,818,
176,100,964,444,880,300,602,998,820,729,896,054,400,197,185,668,009,212,051,
385,150,301,466,594,505,300,925,366,875,724,213,483,655,004,580,021,859,523,
586,448,582,828,770,010,105,420,330,651,380,531,359,699,417,515,718,117,293,
954,318,088,546,767,623,899,037,616,054,006,422,553,864,896,116,195,802,512,
121,664,683,726,866,460,111,819,026,585,045,920,845,927,872,634,209,772,165,
684,484,047,575,767,579,131,228,549,775,088,272,751,935,037,487,416,124,454,
509,988,070,141,872,769,895,104,271,809,694,051,973,056,355,870,564,398,860,
510,293,543,564,160,695,337,036,053,420,760,766,795,735,655,825,427,797,674,
710,073,445,423,226,701,176,292,348,955,743,269,075,306,451,612,073,900,842,
784,704,253,899,570,543,340,637,946,774,964,641,447,091,222,325,606,652,433,
200,079,873,853,323,056,124,958,236,257,856,445,388,257,238,827,039,782,553,
898,259,572,085,546,987,401,563,905,948,740,302,155,637,764,121,862,685,760,
751,153,452,213,231,328,441,488,754,294,515,514,420,247,037,674,775,739,307,
331,201,186,851,514,743,200,311,681,611,099,788,067,269,892,716,655,409,474,
884,512,296,301,115,548,147,202,949,899,481,415,103,978,450,339,000,471,173,
557,266,939,842,860,344,969,949,062,402,402,480,870,759,670,784,425,261,471,
503,039,434,182,323,361,893,269,247,213,129,240,292,307,717,109,104,596,115,
890,478,336,433,417,079,112,558,797,343,564,395,874,281,781,308,372,978,422,
937,374,142,950,578,802,036,152,198,830,767,086,484,545,605,777,193,990,755,
893,555,450,350,680,860,150,835,657,054,005,907,347,704,388,898,956,148,215,
377,809,837,071,138,781,640,055,644,167,169,171,957,309,150,532,135,545,953,
007,187,086,920,758,680,160,515,892,967,014,546,836,213,911,628,134,386,054,
009,863,834,810,019,075,036,559,022,836,479,557,860,979,762,202,523,300,142,
968,843,771,280,327,690,293,115,863,791,977,430,764,551,314,025,528,492,087,
838,910,908,076,334,481,344,558,400,486,516,454,840,021,973,102,475,978,564,
710,843,447,078,137,339,687,907,487,645,856,701,433,516,001,283,425,386,558,
792,846,829,263,767,094,692,849,199,904,599,574,659,628,435,683,873,476,326,
885,166,651,745,827,898,107,131,116,612,207,757,474,211,360,997,130,786,824,
294,426,898,999,933,998,150,582,546,216,453,803,679,065,006,711,781,751,668,
091,272,464,013,131,072,792,618,623,314,182,031,897,428,683,308,173,951,883,
413,867,603,872,702,466,783,909,462,624,460,833,419,297,086,776,475,946,743,
456,428,815,545,352,992,680,252,554,868,684,434,781,837,744,421,581,563,049,
042,944,616,682,541,618,816,742,062,972,648,089,799,746,112,229,098,887,849,
450,322,150,569,687,208,413,063,091,118,150,063,161,784,093,409,232,275,650,
447,086,623,126,831,013,269,157,827,162,666,579,443,648,882,013,850,408,457,
731,773,997,645,143,435,399,180,050,567,346,660,535,866,259,729,231,956,962,
040,781,358,255,019,211,510,784,680,541,551,819,432,535,921,670,729,547,552,
646,407,087,045,489,547,885,452,150,853,981,852,631,872,450,969,222,382,878,
200,122,904,993,121,706,691,831,612,103,319,866,815,206,022,110,092,934,583,
356,893,807,987,789,753,575,507,788,319,940,291,450,587,188,515,339,072,752,
207,337,979,916,178,773,139,166,062,194,733,133,261,597,961,991,593,030,181,
624,655,904,278,515,762,668,498,689,679,895,459,773,845,956,515,988,259,671,
583,077,273,187,821,380,212,242,730,248,010,277,226,695,272,111,092,924,653,
438,062,191,388,099,301,495,433,420,888,208,740,473,045,233,227,473,716,684,
256,337,042,405,387,039,304,700,577,759,325,938,879,705,992,112,201,798,307,
759,119,771,092,094,374,432,603,160,910,309,568,078,778,970,976,075,207,383,
627,819,915,989,750,303,117,957,122,189,918,646,010,521,587,235,209,962,009,
538,932,220,671,253,153,671,314,383,543,302,061,565,618,449,136,117,250,795,
941,691,957,878,004,111,115,532,499,863,381,518,871,664,681,020,973,728,364,
149,803,301,540,577,367,969,518,817,998,706,574,988,951,108,843,331,598,187,
976,716,502,842,674,946,881,176,812,985,912,570,052,593,625,359,234,474,049,
139,986,358,137,971,200,374,608,959,217,954,753,378,619,874,555,252,931,180,
166,465,828,187,271,782,592,948,189,033,018,147,186,824,557,165,735,677,894,
013,280,728,028,708,669,332,346,245,575,610,582,614,344,208,890,698,257,795,
205,198,562,927,315,686,002,598,448,258,074,904,693,135,428,513,238,267,654,
958,325,378,813,372,286,492,692,271,242,232,023,261,214,422,399,120,860,066,
045,075,487,813,753,097,823,865,608,331,403,750,458,683,275,858,269,946,425,
072,940,645,669,169,233,114,819,623,519,522,180,400,566,876,241,243,173,913,
402,778,147,516,336,690,360,366,494,478,740,795,806,310,504,813,407,354,418,
866,909,957,201,667,720,770,152,540,108,272,398,297,727,993,647,988,408,310,
884,678,137,301,056,829,447,741,328,544,717,757,587,209,671,131,698,237,324,
912,391,207,893,585,460,415,417,130,405,657,712,314,153,039,120,209,298,698,
607,913,933,635,155,184,568,410,659,187,681,863,303,682,330,954,143,239,178,
322,883,813,130,633,295,318,767,740,518,313,733,198,527,408,707,572,452,469,
411,078,784,950,348,962,894,034,691,453,799,377,920,263,652,103,695,990,980,
848,218,692,790,630,961,082,442,396,940,421,406,687,546,903,996,940,675,572,
806,693,086,332,965,927,598,558,715,154,310,370,841,780,557,033,068,315,442,
381,306,709,218,749,699,572,215,450,064,938,724,609,654,351,452,463,522,540,
161,872,687,775,156,940,386,589,596,853,902,054,238,653,447,553,669,326,997,
853,174,852,872,349,376,460,210,445,229,323,130,414,862,045,996,910,591,688,
357,279,715,904,591,034,874,047,344,163,422,896,540,517,049,830,844,067,720,
107,826,573,199,690,283,884,703,924,439,251,411,107,256,881,619,288,206,728,
977,089,154,807,724,990,130,645,886,493,363,914,476,061,322,886,893,371,487,
972,536,048,235,997,862,992,414,416,890,700,444,882,103,983,351,287,623,282,
821,526,183,542,111,539,682,821,493,381,890,222,006,808,590,115,674,652,071,
629,033,446,339,625,840,749,376,538,443,545,331,924,626,386,939,953,071,875,
359,627,695,669,692,719,363,090,631,087,457,161,648,875,358,752,598,389,398,
567,169,887,945,150,416,307,640,122,835,869,519,743,583,065,773,475,727,978,
010,461,419,026,494,719,279,581,108,083,754,733,797,870,019,286,634,777,309,
103,698,138,373,459,513,841,709,605,506,894,565,390,901,710,485,881,079,382,
651,705,025,381,608,208,589,328,119,127,634,901,321,674,313,582,510,344,698,
490,941,632,703,361,808,299,664,094,747,358,289,848,409,161,619,498,065,735,
046,676,912,422,081,114,058,231,731,240,779,369,449,891,178,976,214,305,874,
642,487,001,720,459,338,246,635,046,695,563,691,636,070,153,932,291,125,539,
094,352,255,906,745,032,292,996,273,907,488,983,436,629,025,732,017,964,470,
667,929,491,028,775,079,651,190,390,171,575,838,192,385,080,014,033,401,256,
985,189,783,307,339,695,849,423,867,211,995,802,504,288,668,361,334,782,963,
043,365,637,136,974,327,535,933,187,459,463,649,512,975,944,870,062,968,351,
255,461,714,043,700,169,015,287,293,655,886,275,164,234,190,234,006,768,167,
021,690,008,860,730,390,202,938,558,490,777,689,812,987,543,619,638,618,779,
309,296,337,693,468,228,256,950,170,912,358,190,076,545,138,532,334,046,956,
104,808,598,956,464,471,311,105,855,604,053,440,206,959,413,404,591,370,820,
718,841,769,555,215,210,444,138,412,912,286,795,086,221,192,632,010,452,601,
734,190,459,224,100,695,198,940,156,426,421,535,907,468,712,772,512,285,238,
971,449,726,733,606,876,573,586,850,074,615,331,706,917,309,247,147,077,498,
570,032,353,119,176,400,067,018,828,403,669,008,905,718,896,388,199,769,723,
427,639,261,475,873,327,447,167,126,864,701,808,922,340,361,775,521,197,509,
076,994,508,321,309,328,388,774,353,459,416,436,706,327,052,822,472,268,258,
824,484,287,871,462,690,182,143,480,716,922,769,621,415,428,855,792,518,726,
704,123,283,119,057,569,961,180,238,538,754,543,820,346,709,689,930,791,747,
401,901,184,955,757,352,639,216,924,755,344,190,217,156,511,137,371,266,422,
192,892,649,249,628,549,119,115,718,394,500,291,947,627,064,950,539,905,108,
288,972,628,117,155,587,974,536,294,900,297,073,710,133,593,676,594,781,604,
023,316,583,376,088,520,262,566,646,112,844,222,959,840,857,670,730,990,347,
896,609,102,817,116,859,908,703,448,625,856,774,397,824,419,354,527,287,879,
654,200,671,080,590,356,427,230,677,576,610,798,723,339,813,039,754,577,675,
248,929,976,903,884,653,030,522,804,654,199,438,753,226,452,468,789,199,232,
489,839,240,337,741,394,059,061,197,353,989,122,593,349,471,693,404,283,545,
200,357,113,940,648,214,919,720,209,236,802,883,943,749,948,064,314,244,803,
338,613,433,311,173,609,662,393,286,925,488,454,942,531,074,595,793,596,678,
607,528,696,715,360,592,115,929,665,600,208,358,946,887,001,557,995,669,988,
280,845,091,892,591,964,767,092,905,197,389,023,870,319,659,774,448,754,499,
067,483,418,010,451,633,113,127,810,405,552,673,049,828,380,472,521,217,255,
329,878,830,539,420,207,420,033,109,270,232,769,512,731,238,008,975,616,825,
119,706,443,932,854,583,744,709,055,725,664,642,969,761,536,002,737,715,362,
353,335,055,460,260,140,470,054,965,330,905,556,335,632,068,131,995,455,234,
095,681,797,137,106,498,627,935,256,013,666,644,786,733,234,148,746,898,810,
421,154,830,636,284,502,901,180,213,716,460,408,234,389,335,987,431,427,546,
274,216,295,684,846,388,893,453,843,555,880,376,945,710,206,510,027,799,975,
945,789,558,932,894,253,357,684,298,284,967,695,275,244,386,827,178,478,658,
492,087,961,133,730,921,209,112,141,006,018,049,835,787,135,209,515,177,945,
955,283,746,089,937,505,385,621,945,271,643,260,631,335,791,498,560,107,759,
026,526,650,350,281,061,490,104,004,916,347,499,643,062,729,769,702,560,194,
416,614,542,972,698,728,332,792,729,139,677,273,120,208,401,341,579,042,133,
318,328,776,599,410,393,275,013,892,442,872,793,527,366,036,220,847,343,785,
266,169,202,214,191,828,344,892,475,995,480,945,383,214,259,293,527,460,147,
785,426,940,581,077,708,757,737,017,287,836,337,151,083,124,376,726,222,063,
377,012,083,633,128,420,013,140,540,249,908,803,371,255,956,123,972,143,317,
298,328,916,871,176,060,756,099,988,946,076,066,294,020,144,660,451,768,971,
293,557,964,976,019,965,779,510,914,716,356,056,761,355,685,233,809,816,948,
604,889,548,878,312,412,172,538,781,394,611,135,710,214,216,770,670,320,036,
910,819,434,902,010,935,255,754,293,331,017,963,096,338,641,455,708,008,789,
180,174,372,083,940,382,100,654,113,354,075,339,193,567,380,648,403,964,177,
337,710,637,598,838,157,880,502,226,515,323,509,205,722,165,300,525,316,293,
608,389,685,659,219,835,583,493,499,719,180,014,369,642,196,884,980,718,566,
704,519,181,707,071,144,321,572,040,007,055,823,553,943,045,001,137,040,218,
174,440,389,182,304,919,485,996,137,957,209,988,121,075,826,449,289,501,250,
622,604,116,846,745,687,739,600,205,238,850,351,506,399,985,513,016,415,648,
375,391,285,771,209,824,704,722,347,961,743,181,021,564,664,341,892,949,487,
689,903,697,537,588,685,120,251,695,840,640,635,806,834,105,662,239,502,646,
316,009,371,831,777,701,966,568,034,870,064,327,355,595,397,365,871,100,425,
038,381,037,340,947,517,327,288,067,550,707,767,575,354,344,226,559,705,450,
190,336,609,793,831,502,138,598,211,351,389,293,307,063,067,381,826,369,560,
874,119,456,611,417,808,846,708,340,972,379,612,574,048,040,865,134,210,039,
444,275,462,233,440,784,468,710,475,477,611,404,923,508,847,010,194,474,065,
745,158,791,769,526,598,575,244,295,470,817,325,309,221,045,438,388,625,297,
432,457,249,163,518,349,016,906,863,301,586,266,683,561,038,520,273,614,708,
737,035,853,669,990,642,267,985,692,966,714,032,530,972,815,599,381,354,525,
249,328,282,977,397,415,362,033,616,681,254,378,370,375,740,324,214,462,653,
583,741,441,542,040,484,165,373,822,396,505,320,808,794,795,135,982,947,513,
754,467,036,169,652,573,974,957,883,282,483,041,718,043,809,526,730,016,486,
170,331,179,231,258,730,829,956,200,086,149,596,619,803,976,089,451,395,795,
876,911,739,490,974,233,367,417,223,341,251,999,031,082,779,450,789,760,458,
506,203,251,671,763,801,101,135,245,029,708,595,167,130,301,311,631,479,676,
543,900,742,501,502,960,173,401,271,676,008,141,189,822,566,246,433,810,811,
030,931,017,437,278,664,761,916,854,424,418,787,428,606,222,839,347,245,082,
389,550,413,290,544,372,067,651,923,952,347,381,571,242,202,374,759,865,543,
358,436,974,399,279,379,824,692,455,073,961,649,223,493,078,703,678,309,742,
225,807,473,168,147,276,422,788,590,084,769,470,038,703,947,690,435,183,657,
283,402,178,713,631,260,659,203,378,486,398,172,357,515,979,994,507,668,475,
188,450,837,874,863,391,285,639,368,401,405,536,524,209,124,296,334,226,535,
196,967,439,829,348,421,099,700,759,536,508,744,969,981,909,628,246,020,083,
888,519,531,814,277,976,624,024,144,538,539,315,538,351,491,494,722,426,957,
177,725,583,258,171,589,790,517,791,556,789,048,321,189,255,732,125,775,823,
928,415,402,058,338,003,058,022,704,987,985,873,481,951,847,905,904,711,885,
735,348,480,608,190,171,729,997,413,362,228,525,992,122,332,268,652,624,128,
409,805,262,955,393,655,114,081,105,020,586,666,539,553,268,366,649,321,808,
130,844,366,284,852,806,096,639,674,926,566,654,441,145,048,339,539,895,202,
278,113,296,852,502,095,774,480,925,587,576,032,459,156,744,583,971,133,852,
768,288,606,575,874,910,117,704,180,581,283,006,060,814,054,611,531,344,446,
054,119,905,346,660,601,427,897,328,352,770,046,431,776,547,692,299,622,356,
028,123,566,354,060,941,450,385,323,518,283,297,223,792,469,380,539,039,140,
118,031,552,473,237,926,607,233,972,303,003,279,824,177,174,875,003,436,960,
912,794,266,060,315,642,512,935,246,255,768,497,716,257,552,487,084,831,472,
529,504,264,231,627,749,528,636,488,052,360,741,010,049,078,234,204,982,108,
852,880,578,902,693,976,362,580,128,762,975,923,457,252,058,633,233,289,236,
138,100,045,764,992,831,524,924,344,221,454,390,142,717,610,148,133,384,387,
185,624,787,888,824,546,784,505,347,163,176,881,222,181,717,865,822,383,523,
592,956,053,472,387,106,806,032,047,325,032,633,966,810,718,615,125,188,984,
291,586,309,132,759,679,615,989,377,395,467,643,474,219,545,181,639,322,213,
702,761,151,084,110,871,501,829,795,765,202,086,287,238,027,064,436,014,823,
585,229,364,541,465,706,165,892,034,595,881,575,943,918,641,630,691,442,989,
784,262,921,893,121,094,788,720,883,564,994,263,520,523,998,399,642,421,294,
383,529,825,136,709,107,181,594,618,420,230,004,771,273,619,860,550,129,603,
122,547,040,590,500,368,131,700,382,951,511,019,547,228,325,756,301,620,777,
255,594,424,162,301,306,610,034,229,332,101,664,848,137,163,779,068,091,058,
470,050,050,703,139,872,911,586,462,489,823,398,585,076,182,767,568,083,191,
522,454,387,420,340,145,112,298,681,630,769,908,277,568,958,261,175,151,395,
229,630,751,161,073,441,462,351,039,591,574,011,709,810,348,699,407,070,231,
129,242,209,626,944,435,880,569,392,989,645,083,847,758,232,615,213,107,489,
529,100,161,233,347,836,082,460,013,856,538,787,238,072,715,337,345,653,676,
523,074,866,151,921,193,654,701,583,963,035,892,203,706,607,747,273,810,765,
622,296,774,454,053,655,716,766,950,083,397,301,835,369,385,369,634,574,153,
041,313,469,430,275,544,446,081,274,628,715,630,488,805,864,348,993,050,349,
820,092,716,588,280,722,255,334,124,004,760,254,847,499,481,449,968,462,397,
203,680,406,384,467,854,517,856,435,627,272,575,705,869,974,674,336,353,572,
813,814,205,842,760,363,050,601,928,788,873,141,032,236,412,259,499,061,169,
055,535,440,160,339,693,439,299,792,799,668,511,742,625,966,558,093,418,330,
989,876,776,245,551,800,235,399,512,604,717,968,103,992,743,244,918,241,861,
134,137,895,199,299,581,963,275,319,618,808,850,537,049,987,293,690,408,334,
534,077,856,062,870,102,911,374,968,628,333,108,713,102,974,596,195,981,837,
204,444,400,290,533,262,266,094,608,730,409,335,424,182,650,020,246,496,790,
993,803,920,742,383,843,843,443,246,207,232,488,864,353,624,821,990,608,601,
814,159,377,859,161,711,664,431,594,030,367,360,559,954,744,980,490,494,121,
731,646,755,697,277,618,848,922,862,651,107,590,195,169,536,684,587,934,515,
763,959,555,741,728,062,245,551,748,411,459,117,291,009,069,975,403,855,182,
436,899,303,600,964,068,728,957,843,934,775,131,119,389,301,394,367,171,528,
641,231,285,734,824,512,814,394,999,032,927,857,674,171,553,446,366,804,082,
050,670,427,244,328,538,090,594,815,146,010,765,617,856,199,029,160,607,585,
571,329,269,976,393,008,625,226,901,134,422,664,268,830,953,532,801,343,612,
143,982,818,839,509,213,575,844,566,957,523,153,028,926,010,683,256,845,076,
681,601,154,540,321,079,006,147,375,612,337,781,745,725,758,106,155,661,843,
043,860,910,464,953,754,143,832,687,347,608,926,462,813,953,583,736,901,037,
757,285,596,256,011,664,227,710,672,191,395,637,861,185,553,604,131,763,755,
929,908,553,377,812,754,468,682,452,036,937,509,059,015,990,267,928,537,355,
274,882,077,267,665,654,441,894,844,428,702,897,840,278,719,748,096,607,391,
723,964,510,086,268,034,033,620,171,307,775,918,784,328,883,098,957,159,823,
576,093,829,327,519,003,088,336,419,374,706,015,164,489,991,740,353,010,468,
776,363,554,665,428,787,136,752,526,332,647,792,587,329,406,847,914,187,759,
258,716,767,678,014,413,550,448,444,096,393,957,597,946,537,950,564,169,737,
498,072,468,162,300,986,166,683,719,303,346,764,459,178,020,880,442,022,168,
300,928,176,177,447,681,122,965,903,839,429,917,251,809,181,710,620,020,769,
993,643,360,198,765,241,714,532,804,561,597,873,773,774,693,788,644,158,886,
439,829,482,050,013,079,289,739,579,650,966,905,034,135,685,588,081,082,875,
217,959,013,671,876,630,250,274,893,365,680,953,689,059,689,926,768,287,166,
646,890,511,142,012,742,217,941,207,118,383,240,221,434,765,137,584,418,246,
540,403,810,103,091,290,969,234,528,333,141,352,986,762,903,418,777,193,813,
850,168,715,680,154,307,947,446,760,711,705,040,387,148,285,120,398,622,159,
190,723,588,675,266,028,066,599,175,601,354,027,326,507,444,586,343,392,559,
976,352,990,168,148,519,540,917,317,434,525,063,436,877,851,842,922,823,521,
024,582,799,567,022,620,892,256,335,952,761,812,804,199,790,580,244,777,854,
858,494,516,347,810,519,733,373,333,363,287,347,133,920,304,896,861,662,362,
518,386,156,031,632,451,933,291,212,126,180,687,824,521,068,614,459,502,260,
815,088,116,755,250,917,450,667,711,307,264,780,791,179,221,892,180,573,539,
188,388,203,540,935,508,506,506,227,471,149,752,426,437,942,250,534,773,259,
477,356,894,815,132,384,209,759,379,306,794,936,895,137,849,256,544,562,641,
392,424,731,975,324,268,587,830,746,112,078,584,939,927,839,930,182,157,975,
225,851,164,177,586,843,668,540,698,447,899,855,050,218,975,022,234,671,596,
392,233,748,159,793,816,894,841,810,924,661,022,975,158,945,117,444,576,904,
232,876,041,177,516,066,102,266,756,964,942,160,434,121,366,403,801,343,752,
435,468,988,664,444,944,664,355,454,535,920,792,030,837,940,782,692,687,781,
850,573,880,015,581,210,119,307,777,593,631,300,952,033,833,030,032,799,933,
340,150,767,420,932,473,959,898,683,473,472,691,376,116,914,206,451,168,720,
391,741,281,541,202,271,635,139,876,258,705,673,125,472,743,855,821,333,020,
547,361,093,691,230,966,152,191,101,413,112,185,792,873,717,960,565,502,310,
223,844,595,274,374,904,873,352,373,626,430,269,676,948,516,501,991,525,032,
265,667,778,515,795,688,205,612,560,007,595,412,552,340,769,112,928,634,001,
538,140,753,400,961,937,575,180,391,177,673,512,764,007,550,402,824,056,984,
343,213,814,675,832,757,542,267,808,272,312,540,348,916,777,650,009,688,494,
247,348,359,313,451,405,969,436,326,299,338,876,639,181,355,139,196,469,538,
074,349,868,958,949,927,819,851,280,127,650,654,794,158,970,894,521,159,484,
863,494,666,250,126,535,985,968,571,370,115,266,856,005,610,321,973,837,078,
716,611,442,258,383,576,229,840,077,099,196,673,773,371,021,496,340,527,355,
356,187,829,786,084,188,462,034,383,275,168,784,795,278,992,468,201,428,878,
954,508,605,239,028,524,567,424,558,522,533,975,123,286,572,529,991,196,485,
932,543,444,725,887,653,129,869,691,689,615,902,622,020,947,143,006,120,603,
783,105,756,207,799,394,469,534,674,140,069,273,025,744,744,179,136,671,998,
057,777,551,383,453,610,901,144,037,981,602,594,499,471,702,401,748,522,601,
561,383,458,286,843,580,053,726,267,921,008,433,367,124,703,237,009,581,939,
137,935,032,730,503,812,722,928,510,971,950,544,618,423,557,983,081,038,202,
392,156,028,365,944,655,114,441,551,643,672,373,853,544,385,352,948,178,122,
034,006,426,102,013,177,094,334,686,982,475,677,296,661,023,310,763,648,559,
364,460,082,400,530,366,348,465,588,786,702,948,528,584,970,936,762,544,320,
858,862,751,751,618,752,138,571,991,405,957,002,740,752,691,876,090,068,309,
329,273,727,710,159,808,590,724,203,343,654,729,627,298,215,948,990,627,311,
450,852,574,747,248,888,020,350,117,313,759,241,246,827,228,619,190,493,474,
398,246,613,059,765,810,909,317,307,001,600,293,628,824,843,753,709,060,419,
050,801,342,856,564,733,386,512,768,209,800,622,723,146,355,347,384,666,761,
017,748,388,695,908,576,809,624,488,368,359,163,216,216,535,021,709,389,162,
381,996,011,147,458,259,630,993,254,192,323,549,032,131,175,376,495,683,232,
043,400,438,670,461,914,014,735,620,593,392,989,125,728,686,822,757,487,563,
670,379,007,845,706,101,416,482,930,163,428,585,915,637,447,372,615,367,419,
372,061,151,074,349,035,036,571,131,981,499,045,622,986,557,897,998,639,891,
393,156,888,135,481,388,565,685,330,364,410,483,315,904,320,276,206,070,671,
238,991,684,423,059,868,772,069,462,070,415,845,095,025,172,513,563,772,469,
680,291,103,836,136,712,603,008,451,425,760,549,743,263,757,594,033,099,820,
354,614,513,786,421,196,291,893,594,901,145,527,007,024,535,753,926,413,460,
570,680,687,597,383,512,087,441,482,261,582,573,709,323,140,092,919,577,255,
771,290,880,624,695,668,792,230,138,186,488,356,254,304,162,626,154,589,985,
968,628,919,246,469,182,252,668,159,823,938,898,868,800,606,093,290,316,378,
033,400,989,687,915,334,287,581,852,792,323,665,983,017,439,419,344,090,437,
438,471,447,885,795,135,604,370,549,617,581,503,812,880,063,562,779,507,263,
571,103,174,474,927,698,917,027,096,678,985,363,212,707,585,509,885,996,131,
204,623,859,266,299,890,139,877,040,450,276,285,417,507,308,603,835,734,024,
495,777,281,713,248,373,076,818,361,336,321,802,161,722,362,745,508,418,836,
535,070,845,857,054,643,446,118,322,311,379,513,842,083,195,254,056,706,502,
929,225,639,119,642,114,878,404,539,998,586,155,422,380,327,928,422,491,437,
917,007,294,767,199,454,610,369,599,944,736,741,021,694,439,854,375,609,061,
361,046,358,258,564,448,485,089,357,123,579,233,984,379,656,866,616,157,378,
630,407,041,412,110,000,276,880,397,576,531,580,585,461,066,297,039,070,978,
373,007,292,002,317,756,664,479,324,403,821,947,862,179,445,293,898,539,138,
635,951,851,925,057,878,263,437,375,354,738,339,861,381,530,935,503,189,583,
967,719,937,042,377,798,943,580,139,936,937,898,773,360,754,763,327,829,849,
746,215,884,952,491,486,221,325,731,702,903,034,125,234,243,905,717,035,260,
375,345,852,279,120,297,244,879,097,030,752,217,515,178,095,148,025,704,583,
245,088,154,106,727,359,512,270,890,970,509,801,263,557,673,280,549,236,177,
035,068,926,943,246,516,317,143,851,661,257,542,116,415,747,827,654,186,731,
915,396,929,245,911,821,051,705,323,355,373,586,211,321,442,830,926,951,654,
718,410,774,786,353,860,582,739,071,982,620,039,394,948,801,649,039,420,676,
227,793,709,595,771,179,644,325,343,602,060,330,707,328,111,171,085,040,120,
984,490,783,456,072,015,465,616,353,851,714,701,573,334,929,684,624,275,382,
533,668,044,943,516,990,801,826,815,561,888,721,203,640,171,984,520,731,856,
137,446,889,858,595,813,194,391,930,059,407,064,818,244,626,792,908,551,026,
146,413,936,067,571,833,563,996,447,732,604,918,485,956,638,228,310,592,303,
870,296,254,997,865,445,997,179,394,273,399,851,528,522,922,654,223,008,120,
523,149,183,261,826,793,719,692,105,878,700,396,142,005,160,145,369,920,217,
345,195,284,134,633,191,380,612,452,978,728,637,358,053,145,016,700,786,116,
700,025,484,701,923,224,279,208,440,530,699,120,033,785,932,417,433,737,582,
013,164,240,726,552,916,941,176,678,384,241,945,030,876,536,252,985,634,040,
231,247,770,819,886,940,818,441,264,704,379,956,836,008,120,711,869,015,725,
540,773,835,790,819,572,136,006,003,130,079,340,059,554,089,083,173,385,594,
557,830,984,499,552,514,927,385,340,988,085,353,536,771,281,383,019,380,857,
911,290,408,796,116,047,831,945,987,891,695,371,836,748,471,925,776,812,682,
365,092,005,678,965,654,575,951,494,168,726,051,547,800,820,477,835,552,332,
660,867,443,479,042,783,658,620,702,085,615,217,676,471,146,306,861,860,956,
650,842,328,431,579,998,680,635,822,702,474,616,149,975,052,594,071,174,630,
458,495,346,588,597,968,051,671,644,955,577,440,542,930,951,034,099,003,823,
947,632,192,158,097,148,706,085,102,288,249,530,710,671,627,213,347,542,920,
061,666,112,449,803,651,432,833,214,312,892,557,181,686,511,068,394,659,133,
836,968,534,306,873,989,780,698,391,670,941,955,706,550,857,549,862,495,501,
925,438,575,098,861,036,873,455,575,335,559,207,240,168,309,252,338,502,552,
302,569,964,673,876,915,112,650,643,259,586,415,728,221,898,723,282,936,601,
523,579,523,139,185,527,798,402,570,145,950,475,689,509,583,019,440,500,290,
067,583,499,573,049,948,260,789,338,906,040,980,066,908,295,309,150,153,678,
935,567,317,989,597,702,790,037,297,727,872,947,919,865,025,896,079,988,188,
137,862,233,854,435,367,476,139,660,189,697,235,563,961,228,069,752,248,737,
200,100,396,163,529,265,526,904,573,053,899,440,112,783,556,162,268,453,882,
011,638,693,750,906,798,398,955,171,238,018,571,966,739,077,973,897,193,884,
341,005,019,967,487,868,448,270,540,278,565,713,319,729,545,642,766,503,596,
952,498,865,915,274,183,609,819,757,050,800,095,082,367,713,532,995,261,275,
419,179,456,875,329,554,569,577,283,277,340,594,368,908,451,369,020,921,826,
486,668,665,751,953,801,435,505,570,726,881,624,620,442,518,305,319,060,035,
765,736,386,417,850,864,211,963,857,963,329,600,208,565,580,731,604,910,639,
380,052,855,848,164,872,928,250,622,492,394,755,825,936,847,401,211,095,585,
341,279,823,138,300,036,431,561,661,286,623,481,117,627,415,748,258,423,753,
085,871,180,981,454,954,675,176,292,989,188,955,784,111,885,759,332,194,802,
756,032,122,308,937,786,158,586,263,102,567,500,844,048,381,145,615,459,462,
096,775,222,078,422,905,933,437,331,304,326,362,381,669,886,438,826,065,275,
828,338,404,038,495,671,425,309,172,355,575,491,792,709,516,580,325,651,715,
135,548,998,749,060,412,381,369,012,196,705,072,676,815,871,544,301,868,255,
615,578,177,649,525,757,375,146,171,366,087,245,678,504,069,459,731,556,487,
058,481,593,141,773,250,206,244,180,536,491,601,867,042,660,901,526,935,945,
201,363,737,421,710,208,229,057,614,011,724,996,787,610,264,968,090,644,805,
147,631,378,974,993,532,344,115,318,053,210,061,875,732,241,427,048,662,306,
509,086,283,487,447,910,544,218,535,951,491,794,608,815,039,129,469,596,552,
877,153,268,618,410,360,212,885,289,168,221,632,620,967,267,039,039,648,567,
492,720,347,200,975,873,641,384,684,585,869,116,421,362,550,807,867,166,490,
277,870,468,597,559,151,292,902,143,108,101,505,315,285,543,216,685,315,362,
469,618,515,470,747,842,925,856,504,876,576,941,703,675,829,192,206,344,094,
708,462,637,125,484,790,821,134,246,618,383,058,063,152,903,936,892,218,568,
868,597,032,312,275,707,080,415,008,234,429,242,098,533,541,229,712,369,051,
579,394,233,564,593,280,504,110,475,375,416,960,468,921,280,702,963,350,899,
064,537,124,426,696,733,644,939,678,855,587,192,641,062,529,454,905,479,212,
288,287,888,100,729,367,231,975,617,844,895,996,367,321,065,563,695,037,358,
563,492,680,488,110,753,346,860,982,260,919,416,877,803,962,886,515,567,313,
949,088,167,791,398,349,352,142,181,418,906,696,202,998,827,026,589,308,404,
877,792,737,210,537,289,014,899,158,832,383,092,498,221,449,134,717,279,178,
434,200,179,575,990,758,879,782,018,392,554,906,172,702,082,373,757,149,791,
403,393,919,872,449,509,201,477,671,716,827,324,549,110,889,555,776,489,484,
634,411,277,154,161,205,681,885,917,924,192,828,661,997,737,732,751,779,929,
149,074,020,733,640,193,661,797,197,965,797,086,488,156,585,773,375,546,769,
094,847,619,660,109,664,506,776,754,522,290,360,490,618,283,424,890,320,880,
476,093,671,291,862,130,245,375,307,227,082,968,028,637,435,691,942,771,737,
820,116,669,104,482,894,860,985,916,093,382,925,116,438,547,442,879,880,718,
224,678,372,591,017,185,697,538,111,002,482,518,868,650,555,679,156,048,849,
620,754,268,485,302,528,699,869,894,398,150,013,171,851,371,682,797,852,055,
077,067,644,687,405,744,776,276,130,544,673,500,271,588,335,851,337,886,854,
751,589,257,672,899,463,304,803,195,220,291,056,268,902,846,373,444,798,433,
729,704,335,920,528,277,496,158,570,135,505,536,839,878,723,498,945,376,119,
760,676,889,605,560,843,486,817,375,495,808,919,262,074,738,836,166,346,609,
000,442,146,786,817,595,798,700,513,822,658,930,799,188,661,877,336,815,019,
311,408,205,566,015,472,743,402,517,445,814,095,013,390,286,363,098,795,066,
226,915,594,525,873,593,320,456,581,178,699,070,998,996,535,838,172,694,145,
126,933,007,361,251,688,423,055,821,239,856,695,844,467,298,760,273,294,581,
787,695,229,911,875,176,267,948,237,504,883,487,162,996,430,048,458,609,380,
321,046,037,090,416,102,401,871,863,224,386,920,676,274,656,372,443,656,275,
391,356,894,273,198,069,359,886,123,222,640,510,897,186,223,653,616,662,032,
838,489,390,729,682,444,730,012,011,611,115,778,476,439,544,337,921,639,562,
950,877,872,180,159,626,108,175,438,655,726,970,234,486,420,689,177,889,388,
488,700,811,251,150,618,216,222,615,676,094,522,692,555,034,103,062,222,154,
591,736,035,304,079,654,594,640,477,172,217,312,840,681,441,049,233,143,402,
674,815,326,378,107,708,158,164,192,315,465,955,546,220,182,238,867,632,359,
874,877,060,811,169,081,338,928,693,752,494,777,822,502,327,839,394,836,548,
319,128,192,426,654,502,320,612,810,527,041,120,237,815,261,844,911,949,796,
553,766,008,165,418,549,424,927,373,282,686,557,063,920,704,080,395,718,875,
311,106,826,678,333,422,052,438,819,395,797,188,516,351,805,915,299,578,188,
863,764,232,228,210,180,058,824,737,278,961,962,217,369,122,800,125,720,041,
275,164,998,071,855,728,784,418,698,296,228,251,111,694,516,450,311,676,908,
303,866,016,727,612,599,619,605,923,059,325,703,197,766,607,374,794,197,388,
259,746,550,598,427,953,514,532,851,658,045,511,053,414,779,275,806,909,267,
643,881,303,823,263,825,244,239,523,961,780,646,037,207,754,603,958,023,000,
076,648,449,978,753,309,230,840,885,942,643,461,354,507,301,667,776,787,547,
603,578,881,610,704,539,318,964,057,241,478,765,816,385,221,918,746,886,238,
285,344,180,404,213,808,067,142,273,191,139,374,296,438,889,561,989,086,359,
133,931,619,974,084,312,445,143,941,019,962,132,812,669,961,530,379,606,100,
468,727,736,834,756,159,103,348,299,155,277,038,519,598,031,475,317,876,777,
454,114,329,066,007,544,214,126,312,245,468,233,027,308,479,657,996,110,177,
897,986,776,353,316,596,222,532,817,221,797,997,030,042,855,476,483,337,718,
909,431,209,175,761,764,127,775,881,683,318,489,369,303,362,448,764,816,960,
655,887,251,506,094,767,957,132,150,602,559,298,179,569,866,535,276,915,891,
581,426,249,366,669,953,523,466,626,807,775,096,597,784,293,691,155,278,280,
497,815,154,439,074,001,389,492,930,887,961,048,547,940,076,750,397,089,446,
044,658,954,080,357,562,244,586,863,119,297,688,068,811,603,686,666,347,560,
612,013,540,320,060,015,204,843,939,389,677,450,400,959,792,213,442,888,024,
732,201,666,303,677,684,436,492,875,762,852,860,229,691,450,835,321,666,977,
717,462,780,184,787,394,597,681,105,109,707,597,222,685,986,622,691,036,412,
391,238,515,567,156,020,331,012,612,566,197,530,033,506,421,317,196,010,854,
861,295,784,760,213,086,983,545,304,313,238,701,221,514,176,868,872,245,288,
248,968,315,397,320,472,048,238,732,530,837,286,794,017,571,548,624,770,492,
855,680,756,315,382,153,414,585,301,276,309,928,523,205,166,060,902,311,168,
590,035,229,410,182,532,954,962,937,379,505,689,162,507,337,307,765,267,179,
208,006,694,040,607,707,063,603,499,642,124,406,048,239,641,251,825,975,831,
469,859,501,565,281,312,433,015,537,087,512,245,969,608,514,110,906,907,020,
528,616,057,962,006,395,171,596,382,732,506,229,263,260,037,782,054,614,116,
891,714,304,457,090,178,757,496,763,836,662,376,766,880,538,820,994,883,965,
895,297,822,178,848,212,036,032,683,771,603,620,678,375,139,502,383,714,561,
572,837,911,432,149,441,736,907,459,576,595,039,522,268,003,612,481,470,506,
648,496,025,956,522,336,008,416,251,989,824,815,151,685,304,644,660,005,369,
803,364,429,551,460,845,708,814,557,756,711,593,744,856,527,925,175,077,558,
245,671,312,861,983,008,529,591,184,206,146,317,380,621,777,579,955,266,187,
119,808,621,192,441,786,571,716,010,806,724,525,002,477,303,334,569,378,195,
211,384,851,961,692,677,850,176,373,686,518,098,804,507,206,842,538,775,031,
880,501,561,981,627,890,857,158,568,256,128,070,986,475,853,795,145,910,731,
846,579,699,692,718,584,579,870,519,412,384,991,900,356,913,478,508,065,960,
785,995,759,866,057,673,360,493,100,948,465,159,822,312,307,744,332,019,602,
003,172,223,336,842,893,023,658,929,470,369,244,663,767,980,528,314,308,278,
250,049,078,044,637,411,304,537,756,581,004,441,230,145,994,001,673,970,136,
115,639,458,760,226,771,187,912,449,237,627,497,135,622,100,209,749,825,039,
948,362,396,365,292,373,654,936,130,841,199,904,419,806,129,310,290,008,083,
475,276,695,809,865,655,046,365,175,730,413,169,211,584,504,228,409,280,982,
747,212,582,188,201,298,881,000,788,226,378,564,000,867,544,507,391,643,982,
013,238,821,753,433,077,160,404,307,589,370,325,112,977,612,603,027,475,680,
680,334,905,637,707,759,331,720,375,906,424,529,827,916,376,481,700,745,769,
121,095,187,185,243,938,110,232,824,483,473,985,438,727,870,552,262,587,521,
595,128,046,495,930,196,723,510,425,266,077,260,397,041,456,191,093,398,363,
629,122,073,054,043,724,144,354,522,440,128,673,557,789,912,783,933,300,304,
723,729,338,478,619,724,620,154,532,705,213,030,918,818,643,255,076,984,919,
853,347,510,951,504,520,298,587,807,385,993,967,701,650,993,028,024,700,612,
896,366,733,337,624,047,660,571,233,710,495,914,720,641,551,059,315,657,487,
735,147,984,679,672,727,541,522,519,647,015,638,033,683,777,062,073,063,197,
395,259,315,397,407,410,839,783,428,072,265,278,913,224,364,189,181,183,772,
464,065,110,727,941,456,304,012,283,740,464,996,592,598,557,945,602,475,741,
090,220,348,330,612,998,819,564,219,018,342,967,273,229,662,825,702,142,934,
816,480,277,323,601,475,612,734,184,429,308,067,856,817,285,291,695,117,948,
223,465,039,182,245,508,403,988,721,530,986,896,843,987,958,840,833,338,415,
801,421,391,630,931,277,408,403,704,543,031,564,653,678,090,089,936,117,731,
181,145,859,845,253,002,598,663,041,265,716,968,694,961,747,002,830,382,977,
093,677,471,921,558,076,676,723,342,502,030,876,756,831,710,324,437,473,530,
061,466,462,150,630,502,306,968,562,973,993,673,016,474,411,351,192,665,063,
567,228,430,243,159,025,919,725,762,761,226,496,729,718,069,520,318,262,686,
586,730,369,826,593,590,315,076,339,076,207,662,816,320,885,416,826,959,947,
099,740,151,602,656,374,929,306,226,211,134,032,610,375,245,469,925,592,518,
388,758,277,163,218,535,677,514,961,670,687,513,824,784,721,943,357,269,998,
362,954,508,063,175,564,765,668,460,148,271,238,936,309,466,305,751,270,066,
390,951,718,105,368,517,335,558,294,297,897,015,245,924,172,075,598,574,095,
403,599,006,901,053,832,779,644,575,040,871,567,749,709,491,527,891,085,402,
742,995,637,427,414,158,950,007,970,729,987,393,077,908,261,391,622,037,592,
595,819,273,615,690,983,522,716,272,514,876,319,215,693,509,420,900,171,548,
313,911,015,151,858,787,928,136,360,185,230,707,577,252,382,844,043,406,102,
878,100,007,599,677,077,488,710,984,430,350,020,911,068,089,959,852,053,348,
080,190,433,731,595,321,115,162,542,112,523,477,961,393,471,886,373,641,626,
916,829,963,202,813,943,601,017,153,264,437,731,921,680,085,930,797,293,084,
726,799,980,887,386,129,574,518,157,960,844,027,520,613,473,302,532,195,374,
862,743,663,192,949,864,649,905,265,922,292,959,332,418,870,212,515,478,928,
490,929,453,756,514,088,476,753,819,988,396,800,473,076,277,772,346,859,869,
982,598,460,910,457,081,737,214,508,842,122,502,675,567,932,359,430,735,984,
374,950,785,285,039,267,160,408,010,481,484,286,724,446,234,499,288,344,504,
764,843,471,498,363,255,833,023,677,568,888,447,130,670,078,996,929,251,310,
781,933,765,174,570,254,248,140,224,302,557,680,825,991,977,287,010,270,127,
248,285,478,171,153,003,390,776,300,836,543,622,070,735,377,835,525,790,578,
627,896,742,527,960,380,235,087,935,023,251,693,778,882,112,977,013,630,847,
034,374,701,994,113,797,116,280,912,591,297,868,348,651,581,382,605,819,793,
015,071,247,217,068,385,342,307,053,857,972,262,160,677,841,459,464,479,507,
971,047,070,939,613,707,092,240,637,061,313,176,472,561,967,222,520,195,969,
689,790,918,478,624,445,009,221,763,694,496,785,033,608,145,550,287,803,174,
885,228,521,099,976,114,522,037,589,413,649,744,593,555,407,257,756,292,817,
583,739,333,340,715,491,495,658,305,567,313,691,581,535,417,910,343,005,896,
832,733,596,602,419,637,544,842,775,875,998,102,818,745,137,876,591,780,014,
128,014,347,496,643,079,499,677,934,751,694,929,603,264,916,597,450,627,342,
993,904,380,062,447,364,336,858,640,398,753,056,338,629,943,511,804,682,937,
902,947,972,531,379,844,884,515,699,089,979,850,842,068,821,994,943,787,426,
907,400,527,817,213,837,317,479,510,764,149,220,151,384,701,139,910,988,886,
365,216,076,091,407,430,667,540,986,056,704,404,816,874,943,658,606,283,402,
862,150,821,778,178,877,372,464,848,754,893,538,239,997,566,061,436,741,499,
564,842,816,860,426,226,783,962,092,990,811,821,355,836,946,357,953,252,777,
698,421,122,892,099,896,917,502,881,419,130,257,975,653,545,011,590,579,495,
891,242,812,293,325,895,896,040,542,849,679,203,357,656,774,818,482,092,456,
398,254,114,502,677,522,034,819,255,590,240,432,372,814,252,227,522,784,501,
980,527,175,183,140,019,885,056,627,247,135,109,489,001,741,105,048,354,073,
855,275,507,533,616,033,301,881,490,658,674,308,849,836,510,058,170,165,608,
997,937,097,148,731,072,554,572,384,229,868,582,978,926,048,544,232,842,636,
111,764,587,747,639,327,682,146,474,091,564,361,385,012,261,986,040,043,088,
798,412,394,039,743,777,292,679,973,891,456,379,671,175,305,695,703,206,674,
043,426,470,792,365,393,030,910,025,261,929,122,131,927,952,603,108,239,678,
275,985,133,686,473,052,855,869,812,008,977,024,565,694,106,050,712,823,669,
178,298,044,439,104,253,240,188,293,563,321,791,271,446,509,653,934,935,829,
040,642,847,283,517,526,692,923,389,028,861,559,593,345,420,082,018,444,831,
872,753,232,246,835,637,513,831,106,101,598,408,231,940,603,769,424,659,678,
791,941,890,407,827,416,967,584,288,609,360,084,835,339,514,619,902,711,129,
454,715,648,938,595,025,849,001,298,143,392,924,124,736,319,558,435,489,057,
329,765,271,732,553,779,542,615,610,041,917,355,361,518,746,341,644,628,029,
222,687,590,225,043,190,365,181,394,822,659,882,393,498,282,213,761,301,433,
273,128,302,201,370,582,203,393,874,241,428,090,736,248,174,884,121,575,000,
599,562,692,127,861,508,988,618,739,231,749,778,951,089,468,706,779,900,060,
330,584,359,481,139,450,602,839,670,067,821,327,633,478,328,724,977,983,543,
760,247,315,735,321,609,569,774,424,584,844,658,340,548,881,148,778,117,842,
661,744,799,424,792,445,355,726,149,345,744,538,830,372,579,117,098,345,137,
433,561,433,164,691,919,114,683,999,095,758,233,412,820,025,134,253,709,757,
238,932,395,384,551,845,324,455,434,338,730,789,429,958,299,007,189,007,187,
396,484,515,672,675,216,405,315,955,649,414,242,126,445,715,365,071,397,430,
954,002,943,812,056,669,601,562,482,313,893,337,249,177,260,358,171,215,333,
815,185,315,081,792,158,356,074,934,812,494,525,134,791,424,708,667,670,373,
285,182,015,292,617,180,276,679,035,426,095,341,816,834,912,804,929,593,947,
977,709,912,656,449,606,982,007,980,141,750,489,789,614,803,377,076,345,977,
611,402,141,137,801,151,557,944,308,529,951,237,309,848,561,870,544,497,953,
361,567,838,103,106,854,062,431,164,674,426,701,404,425,859,959,291,851,815,
675,670,731,780,080,861,757,006,336,340,578,372,357,012,611,608,692,529,799,
243,101,037,103,548,622,023,114,247,484,599,793,159,603,832,514,279,914,585,
762,961,245,731,665,531,112,689,373,806,534,052,965,908,770,211,732,602,891,
923,166,789,551,577,784,204,776,415,445,286,302,441,196,497,432,569,991,825,
408,387,843,655,259,314,152,474,009,394,633,406,295,504,980,440,157,242,505,
520,592,670,631,941,342,700,211,083,639,214,013,128,578,896,449,520,688,164,
924,715,128,925,853,295,087,654,423,448,556,123,540,237,506,032,189,408,851,
596,937,737,661,753,293,063,140,961,832,359,111,387,858,348,963,733,129,877,
522,044,741,986,551,915,810,364,012,939,026,566,879,183,905,100,703,999,092,
043,110,629,468,097,282,913,886,879,751,034,904,001,081,426,471,522,006,955,
205,100,348,693,375,565,096,934,368,805,240,087,684,488,364,304,433,430,348,
170,078,595,989,053,391,922,113,084,863,968,680,166,176,876,538,033,009,682,
886,708,507,623,596,551,160,778,223,852,900,468,557,047,887,658,857,229,710,
029,390,307,307,820,743,706,255,547,548,715,282,416,980,605,534,269,874,782,
919,198,020,191,189,457,074,205,700,361,204,188,537,564,883,582,199,600,545,
007,311,154,866,482,697,412,160,707,276,566,870,750,959,767,527,406,733,985,
530,935,096,513,742,850,198,585,687,195,249,501,875,862,279,107,699,372,584,
728,716,229,310,737,757,810,839,113,958,820,134,570,863,678,451,456,923,103,
239,124,810,716,424,011,332,569,357,136,552,932,386,649,143,847,842,204,610,
910,747,864,208,907,357,175,383,174,325,294,217,376,669,980,075,469,563,329,
586,158,071,004,628,684,378,750,805,332,610,290,716,686,165,229,958,104,317,
790,397,122,242,504,169,283,437,142,689,688,211,507,538,479,340,825,682,240,
695,945,396,900,262,021,210,860,599,214,990,674,965,144,432,128,572,783,390,
997,145,730,974,161,108,982,306,395,586,375,658,885,155,865,438,978,567,016,
631,495,461,924,243,687,572,344,931,605,915,430,148,528,109,654,671,430,719,
892,034,501,710,037,317,944,291,432,316,333,294,138,973,822,828,508,101,404,
280,419,788,281,679,510,961,352,704,190,480,189,428,965,889,741,170,077,752,
547,162,098,048,908,160,772,969,259,576,946,661,529,435,392,688,103,872,296,
689,814,053,786,846,182,558,976,296,947,281,356,149,310,541,471,526,393,030,
086,968,707,754,425,755,076,370,941,288,372,944,683,342,833,500,449,084,847,
435,302,259,060,601,041,938,276,032,005,646,566,292,801,449,612,248,315,200,
898,372,390,280,838,659,049,115,614,891,377,688,062,380,668,949,026,572,276,
299,016,213,187,204,344,784,765,627,642,805,997,448,641,650,010,426,010,665,
632,103,751,557,062,678,168,777,980,676,736,401,675,379,317,841,757,926,408,
829,296,558,593,669,528,986,613,293,992,435,352,254,357,304,666,597,107,444,
716,776,479,023,037,494,768,538,524,366,985,933,271,460,586,433,008,723,610,
065,952,249,571,826,326,780,010,687,145,048,477,375,677,863,586,490,294,441,
103,484,069,911,977,319,977,953,279,227,315,281,304,343,455,908,835,821,639,
982,498,497,658,518,786,718,618,462,191,557,941,076,754,670,021,014,170,973,
840,906,700,575,486,555,670,178,581,847,445,418,092,332,009,211,131,460,864,
443,398,485,405,590,106,172,397,956,803,209,585,525,251,202,722,783,907,583,
171,957,151,201,649,474,480,822,938,033,647,252,677,526,675,604,061,668,920,
707,254,785,377,363,656,135,004,841,437,592,819,001,041,558,910,235,660,829,
939,092,502,501,808,539,849,341,346,387,872,256,149,979,750,952,332,456,934,
618,659,917,252,250,923,137,692,599,508,212,549,666,676,786,893,823,850,255,
429,101,638,291,101,417,319,333,554,743,365,129,984,558,695,954,501,642,169,
881,052,327,031,984,180,335,928,149,658,359,889,509,837,177,657,559,285,533,
860,020,871,452,218,514,530,390,708,470,659,099,767,278,713,904,401,871,899,
835,207,775,060,293,093,298,511,432,109,462,607,798,585,319,526,827,121,461,
519,000,758,737,228,021,169,835,596,335,043,186,758,526,072,275,537,003,457,
365,865,709,211,336,642,929,349,079,211,054,462,127,329,393,353,665,108,050,
630,475,594,219,277,537,771,325,501,108,272,340,739,718,723,024,051,186,140,
888,158,714,724,347,301,666,004,786,472,123,015,656,191,809,432,176,508,297,
495,335,002,775,784,437,447,272,388,095,727,548,392,990,976,334,115,652,385,
199,043,826,532,763,606,085,984,269,950,978,497,776,637,641,813,088,979,938,
707,489,223,452,828,961,005,026,313,853,748,993,553,668,399,970,586,092,187,
331,926,426,401,905,051,888,908,183,286,846,579,101,449,990,290,340,765,770,
748,916,081,709,549,845,032,790,854,251,586,300,497,645,976,122,416,958,119,
737,549,521,982,907,933,748,793,746,382,277,989,963,221,673,945,812,489,230,
624,302,781,659,513,694,978,734,561,452,287,515,360,281,971,465,268,478,297,
987,767,594,053,642,676,681,501,184,770,840,232,688,298,816,724,689,655,577,
367,485,021,520,839,400,270,507,032,096,475,388,326,384,019,682,650,711,192,
778,631,530,768,730,802,026,847,978,683,018,284,173,349,304,941,829,386,379,
973,287,393,329,963,453,185,806,618,833,705,221,624,321,054,754,335,544,128,
943,932,623,394,510,793,164,329,389,709,790,330,672,688,476,377,226,762,362,
874,155,704,567,775,305,665,047,464,797,414,732,787,036,040,974,810,945,623,
867,347,550,675,311,083,571,909,037,720,820,942,222,035,513,535,693,591,976,
748,416,269,694,985,723,230,043,610,032,178,906,602,334,238,829,976,220,623,
877,897,680,666,969,858,989,442,078,633,307,556,615,189,931,507,529,752,287,
808,859,413,733,090,562,816,371,700,719,062,315,469,328,748,183,395,611,905,
689,132,869,518,857,093,410,823,145,822,335,827,663,033,152,319,027,524,542,
573,287,005,275,424,967,803,222,676,261,925,935,840,631,897,675,207,848,526,
708,879,773,394,678,574,128,347,755,694,350,097,666,590,864,733,167,093,466,
993,368,931,282,742,668,176,230,936,998,478,030,936,520,561,384,687,728,591,
718,308,898,114,466,869,345,319,136,124,026,068,473,121,275,791,732,289,319,
897,446,838,579,077,791,446,655,418,631,844,429,026,445,715,717,964,332,723,
302,744,828,931,345,560,170,593,053,919,552,039,215,863,479,346,026,493,161,
814,931,524,346,718,573,469,399,310,233,503,059,090,593,407,350,646,574,035,
431,102,224,538,693,767,931,501,319,571,866,119,025,598,471,185,166,040,979,
105,693,884,983,543,673,021,135,574,578,685,483,862,801,116,194,766,363,502,
119,447,272,553,289,950,963,307,897,633,434,113,620,306,993,276,168,317,549,
519,395,653,741,460,580,076,641,676,130,794,479,622,035,082,061,572,021,529,
722,042,622,471,169,493,314,649,058,751,857,695,404,289,094,450,021,190,750,
360,273,998,874,893,005,134,508,708,036,347,817,340,648,576,360,368,375,744,
682,246,901,193,237,698,580,770,143,400,377,459,590,715,343,847,241,394,059,
642,644,570,374,971,548,906,433,401,754,676,530,963,941,924,026,621,750,939,
809,603,171,395,858,955,392,559,452,031,458,388,060,916,164,424,166,018,269,
274,532,451,995,743,084,981,273,939,552,551,933,652,126,062,522,424,904,446,
933,221,684,194,305,554,690,615,427,176,548,159,492,435,332,306,207,300,536,
112,418,390,250,513,505,017,704,944,525,098,260,840,779,575,511,801,732,318,
589,990,496,555,342,595,571,709,862,834,685,791,725,156,391,718,442,513,678,
272,706,005,969,400,536,785,847,738,562,974,294,885,989,471,885,568,008,227,
970,037,477,787,976,729,997,733,112,672,622,179,239,733,001,083,473,226,935,
554,105,802,306,456,803,766,654,553,669,035,396,063,100,393,863,572,007,450,
864,664,579,918,822,629,648,246,724,720,943,881,207,013,662,472,926,459,950,
878,444,161,468,183,621,934,532,586,786,459,228,733,172,268,822,693,714,257,
696,014,883,021,139,077,725,819,427,341,024,808,079,156,354,196,733,484,129,
637,574,050,175,076,412,233,742,277,433,137,929,489,476,026,623,834,637,581,
673,275,955,892,364,708,295,774,612,666,157,101,021,651,073,337,010,199,605,
832,145,191,586,124,960,793,083,627,841,806,957,842,206,583,769,874,829,142,
193,328,274,357,876,949,280,403,014,091,842,541,581,380,044,538,604,848,495,
930,875,504,992,528,618,452,080,022,233,211,493,850,756,243,342,400,359,570,
959,109,473,213,851,022,929,571,524,408,244,676,240,522,170,238,075,559,200,
238,113,925,468,414,153,594,033,352,519,315,268,055,609,367,633,725,610,068,
516,139,165,129,596,263,735,846,127,570,155,195,515,894,522,788,726,934,241,
188,103,443,632,021,250,801,954,646,224,735,473,066,110,409,645,293,187,850,
357,539,869,142,305,163,435,420,405,736,760,857,857,628,479,227,356,841,831,
777,330,685,779,143,536,068,851,310,812,072,031,411,557,532,159,669,033,767,
281,186,087,675,051,642,336,803,728,888,971,773,070,569,085,383,631,575,803,
896,048,906,668,983,964,180,513,247,758,563,590,479,778,333,204,723,875,847,
657,754,020,477,941,755,373,066,527,168,895,973,888,385,533,568,799,382,064,
351,444,050,985,245,410,059,134,647,652,087,241,640,662,917,822,173,002,049,
837,808,415,003,747,840,241,941,205,647,064,386,736,342,750,666,822,727,396,
674,793,269,187,371,046,326,611,753,840,046,104,965,025,161,316,614,088,616,
541,004,589,688,891,204,036,640,990,056,573,192,223,359,744,112,397,086,349,
248,666,000,651,841,707,979,046,726,416,387,774,535,918,875,974,955,839,210,
201,506,532,685,475,868,921,552,856,178,946,843,291,802,448,979,916,637,710,
449,802,354,675,685,482,476,823,280,970,320,781,886,067,537,331,707,875,611,
976,609,543,330,827,465,579,673,081,948,999,942,637,058,014,134,714,547,027,
345,267,847,053,635,674,849,364,129,240,718,229,932,681,564,794,496,706,795,
780,262,033,365,883,463,470,989,780,009,038,443,090,577,524,718,488,986,716,
162,451,499,364,920,939,982,012,259,382,027,288,235,562,125,840,530,526,572,
472,611,887,690,589,857,789,956,145,441,125,943,293,454,454,712,459,058,168,
592,475,483,956,510,157,577,952,062,379,544,036,146,958,818,737,975,511,477,
590,624,327,004,676,945,718,044,590,498,905,601,441,101,462,653,383,704,652,
044,324,438,802,995,376,683,434,871,102,768,207,896,440,333,576,179,890,467,
173,816,118,282,034,708,631,229,185,927,326,473,669,956,737,142,204,557,527,
706,933,362,071,794,947,839,834,321,888,091,776,987,072,434,783,801,304,701,
215,396,506,423,543,761,691,785,107,348,350,575,705,432,870,321,241,771,882,
509,999,301,608,619,742,079,946,028,375,090,995,279,372,597,615,160,087,682,
226,689,825,100,191,805,114,012,792,620,385,740,020,473,866,540,956,624,626,
179,270,288,227,871,144,405,293,270,890,439,115,849,958,232,535,085,915,348,
246,059,341,845,101,725,273,242,099,649,393,425,351,193,629,834,306,199,889,
009,837,540,583,729,707,394,910,968,527,382,810,135,019,962,709,013,484,783,
850,123,770,979,832,440,098,549,348,046,865,681,252,442,819,253,510,772,309,
455,387,140,914,085,829,768,465,972,310,676,987,512,636,397,772,418,238,629,
671,083,565,437,568,627,268,120,626,575,331,508,021,240,763,335,960,498,115,
103,194,021,586,655,066,728,050,462,709,514,417,970,660,860,374,866,924,665,
092,624,839,365,080,857,059,222,423,514,482,685,924,803,551,175,765,779,158,
833,867,771,808,360,455,160,876,521,154,287,989,653,435,412,183,476,108,998,
634,959,957,523,749,499,547,877,424,039,552,731,045,181,243,441,418,714,598,
307,759,210,312,497,875,859,323,900,292,002,227,826,224,133,574,960,394,637,
175,801,489,299,745,266,997,171,002,102,265,026,332,235,769,862,632,114,320,
752,158,471,310,411,794,841,302,749,887,412,153,065,836,774,854,891,534,574,
729,289,707,742,026,949,891,618,567,848,497,076,159,152,707,023,839,700,416,
118,426,826,737,466,863,877,785,704,712,760,245,244,835,055,626,051,953,160,
235,854,566,828,048,970,230,426,902,959,328,182,734,625,217,957,184,776,346,
852,762,965,052,749,423,047,510,620,608,556,995,721,393,586,951,935,711,480,
057,370,028,761,157,269,596,889,894,017,952,580,223,206,929,858,558,261,926,
095,111,199,910,020,494,771,708,414,580,371,938,401,309,692,538,578,966,186,
924,583,242,694,163,975,760,487,093,779,082,267,359,870,610,810,644,382,284,
668,745,430,134,272,627,856,993,569,385,093,971,069,340,310,082,559,350,102,
312,427,135,930,848,735,399,995,807,426,071,982,323,586,487,106,695,931,635,
460,894,225,244,858,104,844,190,917,233,318,095,043,480,559,785,570,657,756,
945,145,272,793,974,871,647,411,733,528,400,939,945,042,775,460,829,344,037,
002,362,222,718,373,052,467,405,968,375,128,780,505,930,629,565,930,429,231,
932,169,293,342,253,374,265,014,531,260,740,634,390,510,042,475,126,425,797,
562,568,854,629,103,927,465,860,986,948,647,522,515,679,018,866,589,539,886,
431,413,640,139,218,577,261,658,062,355,850,114,744,097,655,831,466,017,421,
848,536,225,433,993,509,090,333,856,788,423,457,365,583,080,371,419,010,881,
558,978,882,073,736,949,422,100,753,844,955,565,840,432,276,741,970,428,651,
391,021,218,114,437,344,572,057,743,770,326,405,897,294,692,713,947,797,269,
784,007,912,173,304,731,862,154,266,315,959,711,764,679,114,233,505,573,332,
688,046,105,818,226,968,739,281,543,079,934,361,932,545,028,158,238,288,149,
212,736,086,688,997,177,609,834,767,774,273,756,885,762,540,101,712,889,321,
732,232,161,298,756,291,400,949,279,286,663,599,874,923,042,941,911,120,637,
849,723,869,313,460,902,106,805,258,028,362,519,970,423,888,275,367,385,852,
873,731,225,475,821,189,442,138,298,705,826,134,655,240,945,301,891,373,586,
181,748,188,114,098,655,693,797,132,897,458,858,082,160,289,543,228,697,585,
548,288,568,079,329,730,677,353,711,787,596,821,065,780,149,193,228,109,431,
141,218,924,625,530,716,020,138,022,121,721,045,445,519,219,838,361,184,847,
406,586,692,212,275,622,384,917,147,255,908,250,190,427,503,327,057,318,014,
213,920,920,304,857,732,507,364,377,089,773,430,742,856,924,422,214,787,850,
103,959,850,751,112,611,736,116,355,526,106,484,912,038,774,798,363,273,498,
683,496,383,143,354,060,087,663,645,596,562,543,430,250,311,627,571,797,148,
859,273,897,075,821,155,190,012,297,344,952,614,362,030,400,192,454,748,034,
724,637,380,044,435,943,711,600,093,417,944,471,695,664,020,167,789,591,139,
236,609,586,397,843,658,120,623,580,817,486,397,801,656,392,840,948,246,532,
114,018,185,028,187,932,996,682,902,891,754,644,772,846,622,940,555,190,059,
082,367,220,895,266,167,205,348,271,683,527,232,509,411,923,739,350,246,284,
642,829,913,874,501,003,993,000,015,958,761,746,681,023,490,611,272,742,916,
587,313,803,550,910,658,762,070,323,739,327,834,384,978,507,323,439,820,527,
771,405,348,328,411,959,051,545,097,744,694,040,216,822,429,151,089,501,016,
949,903,462,099,502,627,482,700,281,550,480,853,914,951,096,462,369,994,161,
568,198,657,390,555,582,463,440,053,843,709,229,413,493,891,886,193,991,189,
201,237,926,146,842,656,618,070,248,047,807,240,721,986,002,079,857,198,115,
225,273,561,976,216,497,289,410,087,402,608,258,469,436,298,458,518,534,692,
784,826,299,443,731,571,439,583,616,808,002,770,472,623,165,754,006,616,326,
346,800,146,548,219,115,248,187,462,224,845,439,935,313,394,977,233,983,847,
949,523,150,281,962,069,220,693,629,192,484,059,187,502,700,915,252,869,635,
769,017,676,079,718,711,174,348,391,063,468,260,347,966,943,273,361,012,014,
262,383,786,958,508,078,077,565,248,792,629,420,799,141,561,230,661,087,273,
086,597,946,904,136,334,032,827,231,448,419,706,669,467,763,540,872,384,589,
743,074,800,851,952,099,871,317,738,767,021,670,404,168,392,190,306,553,235,
092,358,731,527,844,178,318,462,903,050,225,376,031,328,969,265,727,500,238,
870,165,052,798,516,545,663,853,628,269,213,731,589,124,838,420,807,975,327,
799,838,769,277,070,146,145,321,532,671,026,377,389,898,026,332,178,679,957,
516,935,663,697,543,148,972,193,069,971,858,145,956,784,355,518,596,461,406,
849,392,958,577,439,962,395,084,457,871,639,965,667,742,819,157,716,460,032,
083,158,880,965,353,509,288,840,835,715,458,595,846,345,516,284,112,001,636,
119,781,023,919,973,994,216,582,060,891,538,551,758,833,062,944,908,962,547,
351,247,448,669,285,204,106,403,507,867,431,828,505,157,748,700,596,376,185,
615,905,451,980,334,034,365,559,472,509,109,242,579,438,285,165,190,108,560,
314,427,104,311,609,184,822,806,550,568,109,292,903,379,552,409,727,063,574,
158,323,305,460,731,647,601,854,305,921,044,498,922,942,372,648,141,124,061,
307,220,025,553,859,686,656,902,282,010,085,750,012,988,153,741,479,291,522,
094,866,705,198,238,691,685,154,274,440,500,452,159,631,039,715,122,583,948,
026,668,103,496,508,222,175,635,852,816,632,836,645,569,428,789,322,575,852,
058,522,768,713,496,353,392,133,664,189,558,590,809,945,518,254,294,105,808,
529,043,842,599,475,332,589,014,947,272,308,463,723,104,798,951,065,793,729,
520,737,434,727,613,457,917,801,402,559,211,441,078,801,777,118,765,604,814,
175,674,913,643,146,842,453,633,233,663,035,358,378,162,272,388,235,352,154,
117,971,029,571,007,490,959,638,400,040,125,260,136,138,607,019,143,023,435,
004,770,226,196,010,999,307,917,913,243,553,579,221,858,448,081,454,086,176,
278,354,672,745,500,325,152,974,264,242,628,240,957,193,031,882,542,483,525,
575,503,077,425,642,064,560,028,831,280,343,101,185,605,272,093,933,946,974,
159,483,077,679,961,115,659,647,579,508,497,625,286,582,175,512,058,164,964,
594,050,814,982,048,190,683,685,445,997,294,187,942,519,924,367,264,637,484,
946,709,923,573,656,566,128,686,833,658,814,564,971,863,950,295,051,504,289,
129,815,724,396,680,560,026,293,369,490,876,284,896,790,503,783,466,981,764,
799,922,066,669,210,347,785,179,864,929,927,251,729,576,623,688,533,026,523,
302,652,142,061,198,452,307,268,207,957,416,828,170,431,976,430,152,678,394,
954,623,020,989,052,211,040,713,664,428,120,347,512,624,022,096,193,488,815,
420,097,929,985,596,131,684,150,346,815,142,362,179,678,831,091,566,371,807,
513,694,768,910,530,653,418,699,378,533,892,411,803,498,996,823,998,167,796,
692,931,315,702,235,752,473,463,838,576,993,649,000,389,482,588,236,418,027,
547,029,547,656,689,036,854,920,663,221,073,101,818,246,438,522,471,871,105,
650,325,886,343,163,473,105,324,955,906,394,778,520,938,587,727,457,885,883,
671,157,666,337,945,071,477,830,959,507,548,898,049,233,194,881,054,958,145,
450,106,526,533,668,778,287,507,520,118,414,275,816,777,661,773,323,291,979,
167,775,496,782,316,472,992,747,339,107,683,375,075,507,763,414,727,346,303,
302,331,256,054,207,412,277,907,038,326,820,989,487,348,112,225,613,142,404,
362,734,540,233,858,078,251,130,299,708,000,986,480,153,772,158,709,679,075,
734,802,141,278,387,580,996,432,820,165,619,272,247,278,400,231,006,563,042,
573,007,353,569,764,717,031,808,092,456,842,125,375,962,937,667,909,013,676,
693,708,678,095,232,430,533,561,748,470,666,018,456,108,494,691,131,687,725,
159,594,906,046,411,412,832,343,182,399,835,435,224,196,636,853,350,491,157,
037,683,566,773,734,873,809,381,417,851,240,020,868,961,945,814,033,125,117,
002,903,490,092,275,460,642,906,626,995,385,419,384,988,383,742,650,656,573,
641,150,358,671,142,705,696,487,621,058,705,264,277,059,357,055,322,327,822,
366,571,822,311,812,647,742,651,832,391,479,321,138,821,209,171,707,582,045,
172,494,406,444,289,659,038,403,463,448,542,737,500,098,637,387,698,238,460,
504,277,209,655,973,069,792,419,555,757,748,350,799,122,598,825,976,656,855,
677,677,422,979,208,266,531,640,308,439,476,472,345,042,128,034,523,196,974,
795,508,936,867,669,030,960,701,679,034,374,293,367,109,907,256,426,504,692,
593,813,301,420,516,762,248,914,502,988,326,876,017,229,036,592,041,819,899,
185,048,422,871,582,790,648,331,480,218,742,727,864,111,627,079,142,694,832,
308,587,495,323,185,992,762,645,425,855,771,130,886,044,236,228,085,587,892,
792,486,455,091,181,944,462,184,723,825,421,262,134,568,946,711,902,089,586,
126,483,146,831,440,098,113,590,856,004,438,746,368,059,473,191,710,574,567,
102,434,706,676,869,731,206,039,237,878,371,107,011,480,170,834,497,354,053,
224,030,334,799,498,800,299,805,523,558,239,798,106,247,090,506,730,189,815,
528,968,113,504,408,484,533,886,773,487,128,945,536,415,365,738,003,734,572,
832,888,664,839,947,400,298,414,978,942,861,083,002,295,379,970,250,405,043,
226,658,866,099,552,274,922,106,596,449,665,855,508,855,322,514,292,208,113,
334,036,263,668,376,041,444,869,750,753,256,880,582,282,871,988,771,439,550,
146,248,950,620,111,589,760,024,660,182,446,108,953,863,571,425,495,604,887,
162,285,567,512,749,882,622,416,191,697,151,198,013,959,309,913,424,432,384,
906,239,638,987,492,815,957,256,818,966,024,947,572,148,582,027,214,589,539,
828,666,789,316,915,746,248,649,979,985,302,652,251,483,997,744,190,384,682,
566,939,362,325,767,406,057,744,185,328,326,164,070,119,555,192,741,840,159,
969,222,722,995,385,944,793,411,070,028,897,843,624,347,032,351,947,917,061,
753,914,146,687,994,580,866,955,949,195,971,219,158,317,208,327,408,929,596,
652,380,907,514,047,983,642,334,414,272,788,975,718,254,183,124,445,206,515,
919,747,215,447,128,408,524,376,596,218,513,807,919,420,910,593,119,639,037,
099,463,022,423,569,584,153,134,945,978,196,723,104,519,565,265,530,911,552,
082,998,649,884,923,778,976,241,440,210,734,252,996,849,574,911,422,626,862,
601,447,369,570,273,239,863,076,137,095,440,279,878,634,992,237,698,313,461,
071,512,956,525,130,360,956,080,040,572,969,032,330,139,244,406,067,341,106,
595,618,008,365,734,075,425,354,283,903,311,721,723,711,959,089,861,041,930,
812,353,311,347,193,082,087,901,699,731,799,809,348,160,408,540,576,531,163,
309,921,548,600,056,230,337,669,281,165,698,113,603,071,282,818,918,906,225,
613,645,636,942,031,836,253,048,464,557,666,807,866,300,262,860,686,781,110,
346,247,761,804,389,494,287,494,474,059,068,464,105,464,671,422,171,022,839,
535,676,776,823,368,470,422,906,787,522,396,284,058,855,472,061,697,500,834,
830,654,860,663,741,027,297,459,572,999,131,498,243,806,884,575,004,932,183,
155,427,855,332,740,667,226,189,511,987,572,797,188,010,440,138,191,853,243,
306,454,869,559,688,134,478,934,311,316,199,742,972,473,346,186,760,796,107,
423,093,792,713,269,221,060,927,525,241,219,760,858,152,001,523,895,367,229,
759,008,327,726,394,700,630,725,543,994,242,294,502,406,334,312,537,068,631,
407,828,046,925,421,322,710,069,621,632,966,919,489,867,738,507,618,959,734,
311,778,694,646,409,272,116,945,016,279,668,577,652,405,922,080,732,353,856,
267,137,914,210,631,012,119,049,663,203,122,506,336,597,990,941,596,146,582,
640,478,947,002,766,216,865,423,524,335,199,912,374,407,559,714,476,616,649,
998,013,359,589,509,364,676,548,593,211,651,533,701,352,228,724,218,846,515,
025,153,467,776,696,054,032,525,171,283,706,407,501,632,885,000,063,498,762,
415,212,243,210,088,903,787,920,884,701,931,820,986,351,615,913,507,276,232,
590,535,333,450,879,910,675,429,384,709,301,709,740,644,613,329,766,751,219,
175,726,968,850,998,823,226,167,901,853,897,518,921,064,200,504,934,631,973,
305,638,073,821,849,457,852,518,605,129,267,513,484,094,592,592,330,130,082,
041,924,315,512,260,730,359,677,684,259,362,786,577,539,146,718,153,920,734,
915,908,356,043,939,126,137,079,645,242,370,051,908,330,767,034,676,619,551,
586,784,997,621,052,045,877,164,773,765,228,816,686,459,217,528,156,484,636,
721,744,566,506,519,279,608,548,458,722,461,658,243,495,596,525,658,293,366,
664,494,243,155,262,554,644,472,042,033,306,007,276,990,781,591,154,676,592,
786,865,385,409,559,225,403,398,577,873,621,056,684,521,326,591,533,578,487,
133,555,135,041,098,833,678,854,967,813,281,319,655,666,803,430,769,947,660,
893,270,671,568,981,048,580,833,648,694,679,890,898,633,715,185,178,328,169,
470,778,397,338,101,086,504,974,431,409,506,413,111,778,338,977,940,239,964,
214,358,455,482,474,652,848,349,297,227,826,308,918,185,224,558,154,484,800,
009,949,182,930,397,372,230,085,811,164,809,009,828,151,816,111,240,752,900,
634,312,826,438,000,355,105,272,218,283,931,956,513,243,143,538,497,812,385,
394,982,017,252,214,232,534,044,442,378,472,843,918,329,564,120,948,914,621,
052,365,842,834,040,039,626,346,621,834,235,601,925,750,328,800,838,709,433,
316,188,333,573,218,253,539,347,463,757,531,753,737,364,886,702,699,066,021,
368,403,175,969,398,180,604,149,316,775,071,643,921,099,206,003,486,247,975,
096,154,950,254,496,120,774,217,185,613,377,183,165,270,661,440,132,752,886,
590,226,487,671,912,564,018,350,549,070,371,360,448,086,148,186,620,523,093,
855,407,716,038,339,319,567,619,184,842,354,333,097,191,199,841,739,368,671,
995,512,532,805,830,977,964,770,864,808,782,961,555,312,408,505,967,423,504,
136,848,486,154,660,190,799,472,012,732,560,231,361,192,702,008,621,804,147,
599,868,288,271,516,435,497,378,626,325,660,641,799,492,312,228,724,324,417,
925,792,413,252,769,193,064,049,243,158,224,279,942,241,310,221,249,842,423,
256,428,493,917,479,541,438,950,808,188,582,268,542,782,614,256,728,874,850,
938,896,163,010,647,443,588,337,103,533,563,150,661,123,112,314,700,252,633,
400,471,923,147,377,019,173,175,068,718,513,914,311,331,810,595,577,127,183,
262,763,058,712,637,349,327,955,246,356,537,691,015,693,339,408,791,377,712,
883,654,954,607,813,097,182,244,532,189,306,820,852,940,142,290,323,721,879,
045,379,955,079,906,892,349,277,448,449,895,201,643,290,226,851,697,784,111,
272,263,685,434,086,403,595,935,462,087,300,651,094,524,329,720,015,380,094,
804,795,142,924,793,192,381,968,239,266,744,326,921,646,569,603,138,785,766,
686,220,660,250,135,038,873,679,161,503,507,831,907,732,600,689,248,076,097,
173,469,623,826,097,719,034,642,815,471,779,165,132,602,797,304,419,547,926,
477,388,440,922,784,550,739,730,640,042,238,506,136,419,893,021,326,086,239,
396,939,787,421,415,319,397,087,492,751,494,210,964,788,990,147,509,277,112,
909,967,664,177,037,708,679,833,014,039,661,926,306,767,628,644,604,515,202,
412,512,762,192,474,272,020,268,875,000,822,365,379,177,406,696,640,715,883,
292,732,155,618,531,093,631,936,508,374,608,792,558,820,876,511,229,160,208,
990,220,938,494,189,875,949,588,218,275,820,522,412,793,896,301,574,609,099,
674,035,091,783,128,569,006,645,977,457,179,417,425,910,547,282,345,327,027,
744,211,246,089,029,822,837,110,359,296,152,916,278,495,805,829,095,880,141,
028,973,599,554,377,989,025,010,916,136,434,607,989,577,433,945,365,068,645,
831,731,642,263,735,784,064,923,873,620,408,405,882,034,872,914,499,955,513,
137,481,540,039,079,822,840,990,000,075,790,152,634,517,127,834,166,511,536,
471,184,991,682,530,100,750,243,716,676,129,173,759,337,849,102,861,354,200,
169,698,172,070,151,416,854,037,756,824,693,110,963,966,567,262,614,648,522,
305,101,456,453,672,864,796,350,586,858,604,541,118,760,254,308,132,705,097,
643,542,046,862,419,927,861,077,094,364,422,869,649,144,271,480,205,388,364,
195,425,925,568,032,748,511,258,261,203,161,548,598,226,511,221,824,829,255,
019,527,408,165,969,862,776,209,147,623,327,407,411,109,805,671,907,875,438,
085,484,918,288,641,075,635,186,738,069,574,141,929,065,605,626,361,679,311,
233,235,092,278,590,306,683,604,129,316,709,625,893,455,881,469,497,113,430,
886,847,639,869,195,588,608,722,813,408,660,305,167,595,739,165,021,077,346,
904,894,704,812,765,769,663,725,659,783,544,010,577,770,241,804,206,863,142,
576,084,822,069,581,349,426,498,541,501,476,582,578,644,491,615,221,842,167,
954,665,909,200,882,783,990,417,346,844,804,693,473,599,929,412,916,007,496,
946,513,527,790,146,513,370,661,189,984,393,926,348,618,245,047,350,292,416,
645,794,304,222,401,570,238,064,696,468,773,219,792,511,341,787,870,595,611,
722,243,153,163,184,855,870,523,513,906,957,230,589,076,197,416,046,633,315,
865,842,692,335,136,986,365,241,429,369,972,940,327,266,804,199,967,664,444,
601,868,429,549,543,598,757,561,088,788,303,497,013,185,226,237,402,203,499,
042,030,462,502,032,190,055,632,272,971,969,246,099,873,889,072,464,212,835,
783,018,777,150,183,618,315,832,153,019,417,722,765,931,462,856,705,546,288,
645,500,417,317,070,333,560,949,498,899,048,768,428,197,466,461,201,671,653,
524,232,973,368,587,886,173,078,323,828,018,516,382,785,138,591,140,899,372,
616,994,760,195,082,433,919,435,810,275,931,958,420,746,602,031,915,647,136,
142,160,139,587,353,793,078,789,013,259,720,751,940,710,964,121,444,678,160,
974,733,354,238,145,948,672,341,595,656,524,590,842,731,593,786,358,326,726,
946,517,855,748,690,629,953,360,409,110,987,213,954,282,954,090,751,248,988,
903,319,785,949,106,477,691,452,913,594,682,886,243,662,875,771,990,815,922,
031,447,878,293,558,939,620,052,166,250,248,929,099,422,332,726,094,895,447,
222,393,725,226,641,434,044,247,213,901,111,046,926,028,110,137,649,827,119,
180,566,756,614,226,308,841,341,376,038,776,797,329,221,663,216,796,383,350,
794,007,712,400,208,788,902,213,729,673,253,026,219,975,543,061,496,693,567,
710,003,644,970,516,765,945,188,816,196,117,402,802,806,214,605,922,488,917,
020,289,544,164,691,512,577,736,640,869,616,083,497,601,332,703,383,343,811,
457,264,032,894,497,489,733,851,388,216,394,148,526,814,441,950,551,888,338,
652,059,489,644,072,665,229,776,414,341,718,281,540,550,934,039,449,610,027,
165,977,242,744,222,714,033,260,483,612,823,162,749,677,023,970,355,887,572,
097,039,321,389,886,345,853,828,305,055,386,578,402,604,878,166,301,841,707,
866,267,113,768,557,889,856,830,077,767,942,600,672,290,743,810,022,950,234,
319,045,582,438,335,128,226,889,543,269,459,633,277,198,137,112,352,518,160,
154,441,510,695,113,734,650,323,483,375,584,040,396,148,510,803,605,741,647,
575,087,976,581,133,270,686,211,407,345,320,994,493,347,539,183,538,593,719,
669,192,206,944,683,395,080,542,976,948,768,286,476,393,042,446,713,671,353,
559,995,319,639,242,092,565,909,456,346,207,984,801,530,866,508,537,186,085,
912,592,146,068,480,594,349,461,495,324,455,281,067,355,509,483,767,340,122,
164,097,327,736,063,674,882,769,030,273,907,559,453,149,971,744,619,176,027,
297,993,294,895,891,410,502,567,133,497,117,656,185,218,081,164,482,454,863,
378,586,741,217,503,070,674,501,756,056,674,176,517,263,307,009,863,141,951,
500,551,349,810,406,137,010,043,867,161,041,647,219,395,755,064,931,570,456,
898,906,710,740,122,147,649,714,834,928,940,480,824,435,240,090,343,119,456,
251,675,419,872,016,292,417,130,889,932,992,310,045,227,260,942,901,853,820,
643,215,879,709,133,349,849,435,578,028,260,993,813,770,363,443,460,279,884,
426,745,789,812,734,524,498,916,693,893,142,092,340,348,364,472,668,611,926,
450,368,710,307,061,782,876,739,151,155,609,346,632,066,621,899,255,625,120,
226,020,933,344,829,996,110,318,671,413,635,252,131,844,212,037,586,529,403,
106,104,919,274,151,287,148,212,049,844,784,297,234,652,359,404,190,373,134,
865,051,612,755,439,265,304,782,852,517,155,922,815,244,850,011,775,461,395,
749,788,775,150,875,896,832,202,151,557,237,063,497,071,034,674,536,343,326,
368,791,345,660,091,460,687,579,831,579,440,246,598,953,624,608,741,996,967,
300,436,586,262,497,296,862,283,239,873,076,201,079,869,281,643,521,567,061,
290,623,166,251,614,581,487,036,825,854,056,058,722,957,955,429,852,211,470,
601,069,966,938,703,357,642,743,055,579,025,915,402,514,115,402,487,269,413,
692,901,970,509,654,450,066,327,884,702,172,417,908,623,366,911,234,789,469,
670,496,382,103,016,341,497,739,059,684,629,541,128,778,641,465,667,606,445,
013,402,320,309,881,105,143,913,114,142,114,230,953,421,709,226,417,111,631,
965,965,953,487,735,831,802,526,662,117,984,663,785,894,363,101,343,081,826,
395,849,626,064,177,724,211,027,785,265,218,189,430,861,846,826,264,802,711,
871,313,684,749,721,746,131,738,352,980,135,387,320,972,866,970,262,372,581,
029,453,566,860,972,065,977,244,237,596,824,968,012,128,193,145,969,345,827,
810,009,437,744,743,113,132,482,434,142,798,639,531,141,531,302,289,098,244,
787,613,170,059,242,201,120,951,592,596,948,841,742,123,749,644,671,483,876,
005,743,439,644,119,119,853,761,908,878,398,980,268,063,127,283,507,477,414,
008,251,011,423,869,461,280,823,703,539,230,198,092,159,346,191,872,879,633,
683,165,868,388,639,819,132,097,244,475,567,981,495,340,706,385,008,648,081,
503,209,387,088,324,231,711,075,831,318,745,914,855,167,381,386,385,722,554,
344,139,279,805,422,491,429,032,515,731,766,124,330,326,441,422,247,714,565,
039,556,524,465,909,574,070,922,083,848,472,831,858,533,830,495,678,135,208,
859,058,085,125,495,085,676,237,383,170,383,315,974,820,639,470,612,672,774,
436,661,358,451,935,289,584,008,324,328,783,093,795,758,250,240,919,732,022,
910,224,918,620,837,442,292,563,613,535,265,689,459,643,538,587,387,188,738,
739,982,591,913,417,246,202,669,047,626,175,458,575,278,953,118,697,402,866,
120,768,239,144,749,470,944,362,103,243,697,190,363,960,898,286,352,760,979,
045,473,067,133,074,038,157,553,196,043,299,905,959,244,052,528,151,113,880,
293,023,762,078,637,859,637,196,272,024,022,621,141,239,253,261,026,593,025,
110,571,569,432,261,848,912,922,807,399,458,909,354,033,906,825,232,995,230,
533,088,887,154,664,897,642,612,516,406,312,591,431,965,339,145,442,221,040,
502,643,311,117,977,699,644,979,396,944,160,721,647,239,466,965,085,949,493,
231,443,931,864,311,463,112,561,287,263,113,643,337,692,471,876,058,717,505,
153,565,569,403,780,762,984,756,110,447,505,161,748,426,869,895,350,379,062,
272,212,230,851,481,501,099,691,131,437,379,390,271,038,947,947,932,016,821,
709,973,527,973,813,924,656,045,560,972,247,796,149,029,131,820,638,155,173,
148,817,161,278,348,434,938,986,433,000,114,275,036,777,057,881,932,205,447,
557,733,401,047,051,393,050,596,053,658,738,225,994,660,532,847,239,891,776,
788,531,423,140,236,812,966,338,774,382,399,037,449,470,477,699,767,750,120,
918,939,146,023,443,192,024,665,434,789,368,310,848,175,945,629,999,914,049,
098,092,009,560,233,161,218,847,630,477,571,542,869,850,726,875,466,014,649,
151,181,491,354,613,567,258,330,258,484,422,831,713,691,125,859,848,322,899,
254,152,881,271,908,255,141,128,420,550,953,831,033,548,132,988,845,049,858,
698,360,147,390,597,759,585,462,314,410,488,928,473,018,761,349,777,939,422,
291,440,394,300,426,660,616,536,635,288,116,403,809,816,782,511,173,756,058,
943,017,551,139,552,258,681,168,053,288,941,085,499,516,485,728,820,758,902,
456,330,500,551,013,243,474,688,460,357,496,935,836,638,913,791,952,955,325,
939,352,676,525,122,473,211,202,553,437,445,346,658,665,723,309,894,099,117,
582,706,975,376,398,414,865,665,317,917,782,174,228,628,370,732,785,069,301,
892,138,548,227,323,306,311,535,132,659,572,225,684,450,056,012,389,237,819,
738,632,633,477,549,862,878,963,907,512,928,914,613,632,871,173,481,311,124,
515,994,402,621,651,132,496,495,536,841,418,272,931,518,773,047,711,557,815,
486,050,539,877,717,801,861,390,415,314,609,444,907,370,114,655,044,430,110,
034,163,736,567,427,805,497,503,183,384,787,585,625,329,529,781,866,134,241,
332,101,071,858,381,769,363,040,182,612,831,683,186,086,173,403,505,533,733,
497,437,202,804,691,998,405,414,346,235,691,913,939,367,235,827,027,804,355,
597,120,366,514,568,826,282,254,052,140,279,075,210,426,415,030,728,045,182,
572,809,962,729,075,223,478,858,491,556,810,406,096,599,082,122,831,313,139,
854,188,842,810,529,179,495,993,063,878,352,157,333,632,659,682,087,014,174,
711,283,954,131,777,863,678,116,957,200,214,164,131,033,454,353,057,667,111,
199,587,099,307,994,890,466,500,596,013,060,438,057,993,074,557,446,021,309,
997,732,116,909,472,132,985,082,009,908,128,419,430,637,621,039,452,285,508,
744,557,985,563,746,571,808,535,357,590,282,379,228,128,996,418,164,319,501,
812,521,749,810,401,355,608,031,019,747,743,556,028,994,079,852,503,075,053,
839,731,395,987,647,571,368,974,221,172,581,869,954,102,716,966,471,996,928,
470,925,419,360,346,528,262,641,556,495,742,842,229,388,481,688,063,881,073,
381,816,162,211,326,827,421,636,986,828,929,109,727,764,005,800,944,917,877,
223,945,616,269,052,891,047,270,285,068,749,664,969,409,749,816,234,470,472,
103,246,036,679,017,852,970,802,528,063,047,207,758,688,729,046,270,752,222,
093,603,458,873,182,933,241,324,489,500,765,939,840,485,359,704,166,844,045,
407,055,280,103,131,718,576,285,555,457,446,150,466,945,724,703,973,229,806,
919,622,125,721,163,447,697,774,677,758,684,519,143,087,427,306,098,489,456,
016,544,081,607,672,473,798,813,700,563,131,536,380,325,952,083,294,738,321,
261,667,987,188,167,145,688,284,521,006,308,284,652,142,095,456,094,268,748,
551,542,916,671,313,484,797,535,010,026,059,830,213,568,338,151,635,453,582,
642,894,969,968,174,422,960,858,552,251,230,388,550,206,137,320,102,671,664,
865,457,925,318,436,756,026,915,176,856,911,314,004,682,157,085,559,670,906,
808,094,005,285,937,183,229,571,892,501,800,507,895,861,239,677,170,548,723,
730,255,104,332,443,401,128,977,159,589,556,591,415,752,239,879,135,877,707,
956,869,453,815,945,351,952,371,701,925,972,055,118,277,492,942,777,605,948,
713,165,572,028,805,721,675,158,957,218,672,173,810,307,116,196,749,259,972,
750,684,662,830,877,658,434,236,606,377,489,303,617,668,461,972,302,469,047,
720,037,268,368,169,505,329,790,772,264,808,341,386,950,997,879,417,051,675,
809,611,336,980,055,588,078,803,378,139,230,148,968,145,910,276,542,168,609,
348,003,635,609,291,254,969,168,683,195,702,534,137,284,502,213,068,977,497,
285,862,290,233,230,879,401,154,932,142,751,829,199,510,264,906,579,386,525,
242,549,958,716,595,464,117,932,535,245,567,125,291,742,547,950,845,210,727,
560,605,691,121,334,835,917,091,347,346,029,237,399,606,906,556,842,934,273,
130,692,470,285,974,962,890,364,484,156,563,521,987,605,891,149,605,494,370,
208,507,280,004,981,809,219,893,916,633,773,647,748,018,409,341,428,386,268,
737,516,844,930,997,200,045,022,989,560,621,007,156,450,570,117,819,849,842,
426,627,775,870,725,008,336,275,558,583,192,110,157,163,133,857,227,860,174,
203,442,615,530,330,109,786,928,394,421,640,691,519,412,717,600,702,593,486,
127,776,759,574,972,474,164,632,148,701,414,775,586,014,299,509,896,894,344,
476,663,060,146,297,443,648,871,801,845,611,638,132,694,415,296,321,502,720,
838,333,857,717,887,100,436,638,630,415,166,664,379,562,616,874,942,731,972,
332,898,134,878,692,618,286,478,604,813,828,650,042,098,986,451,718,618,044,
289,151,223,099,565,314,812,529,174,824,074,503,133,936,566,261,843,174,643,
631,540,196,633,510,924,686,911,144,758,750,564,893,918,407,580,037,718,918,
315,177,296,568,461,928,106,253,739,062,393,073,191,352,927,835,949,245,384,
882,381,269,195,913,081,334,482,102,996,492,822,763,872,253,280,040,577,147,
308,962,782,811,511,303,263,027,109,718,070,554,931,588,142,941,344,242,933,
596,189,440,428,459,929,151,300,323,219,685,300,983,998,302,357,321,971,971,
954,580,083,548,133,816,991,781,528,387,750,640,280,003,232,495,381,152,051,
080,329,785,049,889,234,828,811,032,086,899,566,019,535,971,391,778,371,451,
992,372,926,655,003,319,171,873,384,531,930,282,686,919,218,375,684,823,605,
947,634,994,688,736,078,883,010,838,543,422,129,477,208,083,626,643,082,693,
874,123,819,783,177,581,722,447,313,293,565,472,984,377,851,622,211,739,351,
740,050,973,685,134,833,548,841,074,089,585,690,199,947,568,017,814,490,217,
866,359,094,007,988,179,090,308,088,567,631,992,249,981,448,313,805,481,378,
853,709,604,416,192,565,518,979,368,167,192,602,946,493,501,298,571,409,410,
469,654,318,854,103,708,963,967,107,261,336,607,078,306,670,259,647,970,488,
571,724,461,430,417,427,490,209,646,618,069,668,519,238,205,413,635,947,151,
920,082,628,939,989,741,346,945,222,524,567,997,178,314,619,680,014,285,901,
566,157,303,375,310,834,889,223,555,118,702,509,181,281,245,652,303,459,726,
226,834,000,389,831,580,138,811,680,793,073,155,543,133,282,825,189,660,853,
483,843,574,836,106,073,807,193,666,448,490,923,171,294,490,044,494,017,610,
778,612,304,705,751,782,470,578,124,622,244,674,917,312,064,572,423,939,614,
972,763,361,385,970,478,803,230,693,973,207,688,296,394,814,028,364,548,926,
051,612,708,717,752,605,111,315,728,809,190,765,442,528,579,156,480,142,316,
746,456,232,886,569,378,741,429,296,697,207,301,041,518,349,320,853,828,910,
681,708,951,258,264,602,620,726,843,589,883,965,346,541,923,792,505,632,853,
672,403,921,692,625,253,367,418,148,238,392,435,295,295,887,513,595,751,764,
459,328,980,873,362,136,349,045,190,929,755,835,223,839,529,063,362,652,771,
831,753,375,954,481,654,987,994,331,608,653,648,100,818,658,917,254,895,408,
997,009,884,354,245,708,356,199,139,787,872,498,044,491,644,648,414,505,387,
764,542,569,918,855,195,563,454,726,752,702,944,251,489,976,982,168,999,817,
440,711,372,179,998,653,100,288,486,617,535,864,521,428,946,931,914,861,513,
727,208,734,906,366,070,194,107,798,265,569,861,142,060,191,692,848,369,984,
657,456,331,149,806,359,656,456,642,339,331,489,355,605,444,020,801,516,669,
277,305,171,260,273,697,384,861,587,197,190,557,060,325,884,658,513,400,859,
455,139,687,929,659,919,103,794,242,663,886,959,117,999,435,730,663,438,071,
299,555,954,964,021,402,319,711,252,357,451,897,505,424,306,963,878,555,853,
519,579,234,252,546,901,474,911,081,346,967,920,807,701,335,442,149,512,226,
603,666,700,183,490,987,739,064,398,193,736,126,343,793,864,919,054,182,899,
103,255,553,266,735,542,786,510,342,055,710,439,216,349,416,301,685,682,748,
339,556,755,790,234,386,960,495,815,227,614,579,743,227,256,681,216,351,488,
620,574,566,812,789,172,058,943,780,493,723,944,264,025,006,409,582,058,086,
837,282,277,768,498,538,312,868,588,865,346,365,772,919,785,938,900,739,841,
628,916,917,420,518,559,176,628,316,892,358,598,664,653,926,153,867,101,980,
787,468,889,928,326,895,552,221,921,577,961,605,851,619,579,546,358,415,901,
947,880,861,594,929,336,993,627,763,322,452,555,767,941,256,801,180,180,478,
254,554,189,457,118,319,849,446,166,051,740,267,836,769,801,005,094,376,790,
830,031,022,803,499,038,704,191,815,076,795,510,281,801,041,572,755,980,932,
229,711,563,418,839,929,635,579,906,359,872,825,949,197,786,309,238,788,299,
933,791,062,395,916,804,309,402,518,756,003,643,852,044,661,685,672,377,629,
637,572,518,013,024,877,857,824,786,209,779,669,313,910,409,289,242,945,462,
767,580,369,295,179,040,972,382,360,357,832,866,286,195,871,605,040,113,825,
998,144,917,649,167,334,681,073,224,748,212,561,465,823,702,918,062,755,235,
994,003,598,053,895,766,019,014,367,929,751,668,092,886,042,459,611,508,389,
244,815,460,060,309,790,029,546,582,485,674,381,547,514,263,188,217,151,135,
104,188,685,653,949,293,386,832,947,520,650,907,967,051,529,432,800,552,178,
345,389,027,476,229,430,717,109,160,990,138,636,617,045,474,677,731,725,681,
906,536,378,538,139,083,044,547,921,187,740,728,102,867,905,883,991,456,374,
834,669,864,689,450,946,830,489,341,214,521,597,675,513,720,889,199,639,432,
172,887,000,954,611,998,914,664,879,708,058,232,577,930,845,590,700,770,361,
238,238,746,388,413,610,483,198,690,731,322,068,816,012,128,795,476,591,666,
271,807,292,360,479,626,405,023,141,905,078,404,557,366,013,299,284,153,630,
671,828,821,699,643,125,509,240,048,108,130,487,565,033,024,047,627,801,330,
435,686,199,481,439,287,359,149,225,480,533,860,434,278,373,001,651,116,890,
673,691,329,918,846,765,929,304,567,836,459,051,213,149,127,614,198,344,823,
591,176,158,915,660,383,499,519,612,083,628,010,035,681,421,074,889,417,890,
806,889,817,803,968,893,793,985,909,929,145,410,721,150,188,663,432,982,538,
543,929,092,569,300,145,045,051,476,744,190,505,521,262,281,272,632,732,752,
484,426,035,913,753,687,406,017,224,795,686,746,511,200,628,806,314,310,889,
040,279,430,299,870,786,048,834,037,787,848,870,391,845,900,539,706,734,497,
409,848,653,228,724,741,738,052,717,603,243,045,289,013,664,488,665,959,124,
520,621,345,010,541,625,305,890,026,920,522,067,918,478,285,017,388,335,643,
899,915,483,934,112,237,563,190,480,042,954,006,022,098,966,389,751,258,751,
871,021,696,680,710,553,417,149,430,697,561,464,813,475,479,596,869,785,154,
969,209,829,819,665,541,148,001,494,881,357,923,728,229,404,711,319,759,953,
213,163,734,935,511,852,346,946,813,898,935,415,413,908,452,820,356,460,592,
570,127,847,363,162,280,691,887,498,813,024,420,800,070,377,075,932,029,631,
651,066,000,216,067,769,014,590,678,327,123,235,836,247,048,529,338,376,481,
899,260,868,173,514,946,938,445,341,095,354,275,564,446,365,097,175,270,440,
415,554,695,424,928,422,957,229,416,603,650,854,670,750,392,353,558,251,178,
956,512,688,994,194,009,600,522,409,972,912,521,281,649,355,165,799,805,323,
827,336,178,155,236,378,920,294,163,919,474,437,947,247,769,653,448,105,178,
393,096,077,865,679,484,218,329,476,046,620,991,882,845,235,709,416,686,916,
491,102,215,168,318,964,720,096,619,113,031,254,951,006,632,593,161,964,286,
138,535,410,303,835,105,203,201,559,662,373,984,067,194,174,074,143,552,110,
247,007,003,511,465,339,116,406,236,246,642,155,029,312,661,727,842,223,094,
203,019,154,195,012,107,306,623,340,491,319,493,196,157,336,241,050,876,254,
195,777,082,582,669,105,449,685,187,144,809,286,412,176,496,838,535,211,221,
936,841,334,063,834,398,522,120,548,190,160,335,057,191,831,659,817,026,251,
774,979,863,935,285,850,752,381,256,435,201,329,123,330,068,009,295,528,390,
760,164,656,408,249,587,400,041,896,230,550,920,608,495,301,769,982,524,876,
795,578,353,424,274,237,963,245,738,935,719,428,993,197,771,477,606,431,782,
906,392,304,616,001,386,634,712,918,007,170,008,121,815,213,125,393,263,509,
540,861,120,231,130,838,427,442,669,258,126,215,085,177,359,439,162,080,223,
717,190,624,629,857,592,915,570,906,642,279,139,484,548,010,566,389,610,204,
420,190,516,019,614,800,541,609,676,234,076,970,949,709,784,489,409,527,422,
201,442,164,480,327,399,338,749,235,123,439,760,772,086,992,848,840,795,784,
814,476,802,443,222,200,369,093,131,197,499,187,210,721,425,615,187,769,530,
835,248,423,031,558,734,569,521,354,617,762,957,208,458,995,147,304,572,186,
299,697,026,275,730,428,942,397,443,280,249,572,691,950,445,325,825,288,765,
141,564,820,881,513,810,560,175,717,102,177,888,475,731,790,289,154,217,143,
283,484,407,968,551,589,571,514,357,833,395,557,179,221,957,518,803,306,165,
114,810,623,085,647,681,994,917,926,560,096,091,720,188,725,397,158,627,867,
844,709,244,421,412,817,675,282,865,600,249,734,485,761,443,396,851,231,331,
754,505,667,615,240,330,392,985,730,569,556,314,264,621,271,551,640,098,019,
983,180,666,243,836,618,839,041,289,364,287,814,423,418,344,134,621,255,558,
810,525,702,999,772,409,704,051,501,256,200,587,894,259,783,975,653,052,054,
262,260,636,265,820,447,125,621,268,193,153,843,694,566,750,569,152,800,977,
320,194,263,325,308,796,090,294,090,019,114,396,033,600,020,656,681,683,866,
736,708,430,846,891,107,235,201,549,233,403,107,844,588,513,635,047,644,464,
321,344,661,129,703,842,162,829,760,487,601,035,757,718,175,576,086,126,876,
093,148,175,604,561,197,235,230,026,486,605,149,447,946,696,008,009,256,947,
621,648,861,848,321,893,241,592,004,820,051,077,248,509,979,406,635,883,201,
567,266,117,244,792,807,748,155,287,774,424,821,869,889,163,367,509,279,905,
464,530,187,729,355,118,030,165,900,128,209,747,159,746,314,245,976,092,586,
927,669,903,945,747,067,109,046,638,141,339,209,681,970,293,283,633,074,307,
499,818,717,543,327,822,550,764,670,948,670,611,427,208,306,965,375,236,932,
681,807,471,984,559,019,384,487,254,247,517,201,186,664,247,409,374,091,821,
943,704,543,757,106,247,822,392,206,142,771,832,923,853,942,248,351,910,763,
823,476,126,714,372,337,130,893,116,493,292,982,264,466,167,421,699,517,947,
036,155,717,275,218,340,082,931,485,544,697,717,089,143,994,068,933,420,943,
900,090,684,592,576,240,657,212,746,943,740,720,345,293,055,756,277,077,652,
015,194,476,820,260,621,326,802,651,382,039,807,448,063,807,355,220,899,889,
584,111,074,768,661,643,352,722,806,007,599,893,002,783,607,984,188,845,167,
397,714,508,371,020,204,005,676,476,086,402,713,072,336,645,619,630,108,042,
373,882,086,444,663,742,451,315,691,463,534,534,658,895,819,119,058,116,669,
673,363,676,182,092,202,612,879,774,128,646,979,925,132,929,440,915,971,231,
527,117,833,932,739,161,723,392,805,458,333,714,915,615,983,737,988,513,377,
312,403,108,092,604,537,090,198,737,338,480,910,213,704,711,400,772,905,926,
656,955,657,641,117,120,954,783,072,029,922,284,176,236,039,102,015,679,746,
226,533,689,973,482,218,906,782,863,484,169,045,487,013,938,179,864,211,524,
049,476,502,032,075,242,743,071,938,519,255,716,214,857,311,004,744,885,778,
156,845,807,613,892,775,078,850,601,018,805,051,661,092,684,926,510,939,855,
952,216,244,750,850,234,705,247,020,665,167,463,978,770,905,673,485,405,965,
853,513,415,375,015,057,502,587,354,072,751,095,052,245,083,983,315,174,927,
588,560,054,477,444,521,825,102,401,728,230,172,696,253,626,262,402,136,766,
335,401,710,735,673,255,608,494,670,344,962,775,753,546,032,815,910,020,850,
126,695,327,870,447,877,888,406,911,048,533,932,767,033,745,961,583,263,480,
644,146,736,348,169,226,853,258,885,851,218,795,654,742,708,245,663,234,895,
679,254,255,780,925,411,556,769,998,653,461,131,398,904,175,296,772,814,733,
865,152,312,009,495,780,439,005,120,469,613,802,002,051,573,792,197,723,980,
252,890,485,860,528,116,531,708,311,013,766,079,389,149,372,886,786,269,930,
850,199,761,393,404,645,601,353,862,278,360,240,964,660,503,306,280,236,396,
822,480,906,846,052,819,130,316,675,668,798,294,512,286,862,660,616,018,951,
305,578,689,251,063,456,295,131,788,749,286,462,074,573,782,114,432,901,017,
173,698,864,666,082,645,635,772,738,460,313,152,624,679,733,403,154,122,061,
898,306,648,355,161,370,010,240,722,849,913,903,143,636,405,679,322,895,719,
653,214,549,124,746,681,802,532,292,983,651,337,402,230,185,487,113,992,607,
504,915,364,788,820,044,979,676,718,371,725,091,899,207,607,064,728,258,820,
865,385,444,928,105,288,589,801,502,734,404,075,277,380,732,394,129,715,980,
083,604,181,212,162,393,521,235,397,681,650,342,444,526,944,145,963,140,246,
553,931,080,512,116,880,188,270,596,283,062,752,787,914,822,800,002,877,624,
689,959,492,654,581,675,676,637,803,457,932,269,201,556,969,743,170,916,843,
393,522,966,677,270,378,523,262,232,635,929,118,542,050,618,566,521,600,526,
384,983,235,438,201,866,499,198,737,185,677,003,879,747,061,218,830,176,229,
973,955,535,344,404,772,996,835,726,903,249,620,079,059,936,705,801,595,962,
925,932,010,321,951,033,901,722,950,827,635,089,689,176,054,035,439,163,421,
012,588,670,482,462,440,984,192,257,893,685,727,196,645,524,138,994,834,134,
691,872,966,387,192,849,818,174,584,026,584,287,745,406,476,179,313,727,588,
556,217,059,980,791,060,542,009,997,831,218,129,017,525,063,850,783,250,663,
088,411,627,515,236,652,508,123,944,919,054,027,590,661,865,446,028,040,838,
972,691,804,865,303,863,646,695,889,587,425,211,742,040,852,682,500,290,761,
672,133,622,944,948,436,244,890,429,638,521,531,427,711,806,932,083,605,404,
616,141,902,820,134,087,345,788,510,932,310,435,707,489,918,111,762,374,634,
072,711,773,659,950,900,356,377,200,813,910,381,535,740,231,509,694,025,758,
673,298,193,381,741,361,528,756,602,676,022,899,822,266,780,059,727,225,165,
598,990,486,283,788,155,907,124,833,764,001,793,470,830,422,068,104,102,119,
090,595,841,110,002,259,227,620,931,670,750,940,831,796,869,402,722,848,532,
652,575,002,075,422,780,572,672,488,983,354,424,717,616,120,866,538,528,915,
458,455,991,268,183,664,321,731,462,738,389,934,299,829,916,188,562,769,542,
102,031,722,380,962,520,583,429,913,846,909,268,677,910,530,546,722,697,909,
946,199,350,193,672,190,521,211,366,182,177,939,935,258,057,270,764,827,232,
596,959,500,531,718,921,944,819,286,761,143,283,433,152,437,254,858,213,566,
013,479,919,802,673,592,551,151,532,001,848,508,310,633,540,747,059,133,698,
698,292,432,594,420,769,081,039,190,733,571,043,406,791,238,357,396,103,575,
636,571,943,628,169,334,010,521,459,085,351,175,602,279,993,466,098,597,274,
353,986,970,644,464,894,449,508,556,930,132,198,899,928,165,424,324,688,117,
136,038,755,545,900,804,221,131,127,711,352,810,392,622,838,182,290,726,264,
638,139,670,795,844,492,338,997,444,854,683,855,908,938,131,636,476,783,483,
681,354,004,614,313,024,883,785,826,619,273,330,715,454,050,852,154,401,342,
774,785,350,304,881,445,600,287,111,060,125,608,028,829,834,403,885,539,935,
501,678,418,607,406,605,570,455,671,821,212,586,511,089,999,000,591,911,021,
662,138,706,659,952,301,772,469,813,108,836,744,057,121,349,487,642,938,496,
910,119,465,433,792,991,137,540,091,724,936,950,253,618,803,828,055,567,744,
612,835,088,289,898,574,909,992,516,738,657,069,477,110,496,154,672,886,955,
568,978,055,094,081,558,515,005,686,330,640,838,712,443,518,864,733,117,454,
214,155,350,338,800,686,342,365,576,300,567,999,149,572,016,862,204,537,202,
696,443,080,260,507,072,375,721,021,084,906,326,008,951,227,289,712,718,412,
274,688,203,516,088,291,982,880,561,173,834,253,982,307,054,195,972,600,132,
426,788,908,311,919,968,528,878,084,413,436,355,366,832,302,465,894,083,598,
071,066,247,562,965,953,062,123,169,592,478,009,656,475,165,320,661,930,649,
969,627,808,830,639,341,157,324,648,311,977,974,059,057,521,723,570,852,328,
873,574,148,545,953,882,297,398,760,933,363,401,455,654,073,038,219,659,935,
559,892,316,089,103,281,085,343,084,624,855,129,953,216,392,816,121,913,731,
212,350,398,793,578,483,856,730,339,100,142,620,755,806,691,064,254,429,298,
047,898,855,110,590,614,241,356,806,732,705,853,313,658,539,752,683,831,788,
751,962,088,350,332,472,094,954,665,761,553,435,516,029,767,144,142,328,450,
565,017,276,398,432,452,843,544,528,985,356,209,163,818,696,916,958,457,832,
643,647,543,922,140,481,421,160,422,365,051,613,767,340,336,642,161,356,100,
329,334,323,359,983,658,505,267,270,216,327,869,701,062,659,031,425,368,394,
723,408,078,995,283,206,102,116,342,843,874,844,787,143,722,664,955,793,846,
565,524,604,639,101,003,614,966,895,646,216,013,473,660,131,013,088,473,434,
985,886,141,142,500,306,804,515,294,362,228,435,887,434,467,135,517,851,074,
242,585,455,794,927,640,188,097,576,394,700,181,703,448,376,697,261,820,604,
146,540,667,198,240,619,249,198,562,780,080,489,809,327,291,958,594,678,571,
502,790,499,974,934,765,009,878,311,325,550,826,773,860,360,887,632,307,760,
813,083,993,571,362,707,972,747,212,698,419,230,809,235,881,557,723,319,912,
052,090,411,579,946,535,017,125,500,724,597,874,719,307,108,135,265,792,736,
042,275,778,262,059,969,781,819,048,018,072,421,217,980,998,030,299,012,510,
980,319,154,493,384,012,426,891,878,526,060,945,771,760,102,362,327,484,684,
493,751,353,982,637,217,896,211,274,748,586,158,043,883,571,716,643,346,112,
210,938,617,045,990,402,563,995,013,768,731,414,985,460,796,535,212,602,802,
996,084,228,888,920,227,448,414,975,022,373,180,089,055,643,527,352,952,435,
044,937,579,686,022,554,218,782,879,402,053,915,810,679,163,180,155,682,300,
612,504,686,732,384,501,997,135,716,588,338,072,373,191,151,967,194,037,736,
041,350,375,386,849,486,268,225,490,186,009,523,227,713,935,442,208,957,767,
060,577,964,856,345,392,448,984,049,130,348,875,223,885,768,676,017,355,902,
469,052,334,623,005,713,835,062,332,126,938,305,691,572,249,301,660,904,702,
846,913,492,753,874,037,243,097,991,700,377,261,447,610,441,981,692,566,335,
727,265,656,314,373,397,749,426,454,062,863,855,304,418,525,725,676,216,629,
370,921,514,913,862,205,142,105,437,585,348,973,846,015,692,223,061,093,558,
056,250,804,131,279,128,235,654,257,232,946,421,467,582,958,741,341,839,888,
803,181,572,970,554,653,093,882,753,454,888,227,423,205,754,798,874,642,075,
406,353,929,502,190,316,789,688,510,770,989,374,409,477,848,269,462,824,700,
076,241,883,630,089,262,658,085,952,766,550,966,011,030,515,935,719,628,101,
412,273,159,925,033,754,131,938,577,702,625,950,875,742,628,167,293,843,171,
552,138,906,580,619,469,451,789,193,589,391,256,441,023,085,030,375,187,894,
822,913,853,616,947,150,223,540,265,907,239,340,816,282,077,350,250,667,829,
177,666,110,759,374,912,650,761,686,671,988,605,043,898,971,018,528,313,069,
107,497,244,737,998,297,113,686,488,859,296,230,746,959,653,643,792,022,710,
687,009,176,255,813,877,886,620,500,261,443,049,932,871,197,009,326,665,761,
757,048,594,107,709,886,512,714,528,550,357,995,151,794,045,791,747,173,466,
783,536,841,255,805,157,765,368,519,162,204,065,065,700,455,894,242,890,741,
395,823,982,110,758,072,381,269,795,698,065,531,449,475,247,347,161,359,790,
042,276,668,783,922,167,917,096,261,805,899,912,375,394,637,999,830,341,816,
916,704,543,654,095,136,114,759,093,757,509,278,322,644,693,471,169,544,903,
010,623,754,344,857,635,020,904,388,734,438,421,719,866,484,769,964,439,777,
377,054,936,101,644,705,311,057,920,068,130,118,981,273,154,174,226,021,028,
419,514,245,679,712,636,204,289,949,624,761,680,283,379,383,930,818,931,093,
716,066,000,901,141,406,862,085,513,916,286,355,856,838,043,909,276,562,337,
183,008,284,642,084,891,632,996,866,443,422,342,644,909,514,691,598,978,961,
720,050,249,919,719,170,647,770,041,769,194,179,871,982,521,576,729,533,819,
024,220,529,641,570,849,439,211,827,853,032,470,479,604,781,573,519,116,834,
110,863,003,350,596,319,661,096,217,434,768,005,627,628,535,431,511,629,318,
871,425,944,843,294,190,231,124,835,158,780,945,339,046,344,352,760,662,328,
340,270,302,137,171,797,001,168,880,917,452,076,986,181,341,162,030,626,332,
012,171,917,209,585,800,408,116,990,935,060,243,133,033,049,749,088,398,467,
279,583,720,721,127,692,601,119,854,306,276,635,790,854,023,144,214,107,799,
225,287,737,063,072,738,011,511,798,216,668,375,402,899,169,103,690,839,901,
753,765,011,454,375,420,888,327,251,464,650,087,331,143,227,505,401,301,923,
828,346,314,100,758,634,757,879,702,961,208,844,675,478,839,964,812,906,889,
650,698,205,444,872,432,205,016,999,783,548,759,874,931,763,843,681,634,827,
707,436,836,440,963,252,605,630,649,836,651,228,108,863,593,714,758,174,923,
794,286,055,959,561,784,545,135,229,307,233,498,235,806,880,368,274,181,142,
783,999,576,208,720,542,527,659,817,246,627,870,396,337,793,250,586,959,099,
726,016,897,877,696,111,108,378,304,448,724,129,974,495,505,214,085,573,478,
502,836,789,324,639,186,897,244,488,996,883,645,956,887,462,533,083,731,706,
580,253,751,791,091,622,003,392,299,294,978,211,585,915,936,513,276,339,428,
076,278,163,529,785,569,273,695,303,423,610,592,461,771,050,650,258,138,378,
639,215,719,416,056,571,749,525,805,698,712,649,937,795,195,516,276,353,738,
445,337,279,923,833,572,910,073,720,443,390,776,997,476,662,224,851,338,570,
517,021,583,363,602,754,039,800,995,399,093,998,048,928,947,129,909,361,429,
874,363,752,538,190,362,531,935,482,994,438,853,367,295,550,745,883,607,828,
641,640,362,654,967,978,507,035,951,992,722,276,314,018,739,811,314,774,383,
632,266,384,792,136,749,214,228,988,924,337,113,934,585,062,576,860,912,143,
684,822,277,500,465,532,930,196,443,598,211,779,922,122,064,091,720,483,790,
517,940,508,274,484,116,058,825,819,850,705,657,231,145,108,444,118,669,790,
274,422,803,948,834,029,417,964,851,273,458,779,584,002,610,578,490,999,542,
165,102,135,926,604,363,194,881,644,998,511,670,579,270,080,900,467,033,722,
696,556,150,966,674,156,034,353,291,041,648,229,118,836,805,965,781,507,491,
073,005,589,015,196,171,637,384,862,611,140,129,451,514,286,039,458,635,993,
386,325,635,910,075,587,798,233,207,286,710,338,193,442,225,870,682,957,605,
132,266,284,484,149,994,755,873,752,740,436,218,087,311,610,356,486,758,339,
216,675,579,609,980,450,494,605,069,449,951,112,210,573,737,319,323,231,544,
486,439,763,988,366,800,339,579,146,994,975,491,456,744,465,511,976,104,661,
856,129,961,697,187,721,941,701,426,392,205,633,580,698,268,199,553,328,376,
279,222,558,862,814,536,422,354,277,032,858,738,736,698,989,846,003,244,931,
298,572,652,759,941,295,418,161,795,977,060,322,214,042,604,658,709,788,275,
914,266,280,319,432,424,047,514,177,872,158,336,830,573,489,843,609,770,129,
481,412,664,527,003,375,574,081,501,226,880,039,850,244,366,874,182,635,046,
591,191,290,285,318,924,720,735,169,227,971,248,404,591,969,577,636,598,171,
259,065,161,215,297,015,593,139,787,745,249,770,650,156,375,228,912,180,576,
785,613,690,588,433,035,530,296,269,463,002,143,170,771,340,303,059,271,627,
559,708,236,231,973,711,053,506,981,341,176,180,395,006,448,981,314,560,559,
304,218,511,432,009,635,438,365,800,698,529,861,042,280,527,570,831,481,908,
401,888,675,418,176,608,835,119,358,880,481,690,889,570,928,939,373,569,698,
239,336,970,997,194,411,109,812,471,362,533,787,685,346,595,436,919,285,801,
459,676,223,052,603,909,121,405,287,154,925,212,692,977,620,740,000,565,244,
646,693,743,418,126,190,872,230,497,568,103,765,021,863,418,052,068,606,993,
706,302,862,681,374,932,853,213,342,536,274,901,715,845,161,646,456,413,804,
568,570,895,654,674,465,695,372,330,437,755,132,713,750,089,892,731,564,954,
307,064,613,625,679,948,049,234,462,009,468,839,087,196,124,943,602,567,389,
426,201,490,645,380,930,375,683,516,439,108,263,113,921,544,180,483,894,166,
931,185,297,601,713,327,636,522,074,067,958,064,873,694,461,901,407,194,643,
178,462,015,742,619,264,132,578,539,576,519,744,550,745,703,398,005,215,899,
787,417,027,983,308,959,432,603,166,367,051,228,542,288,944,213,621,627,848,
689,551,135,402,947,788,558,462,727,234,807,994,850,459,458,413,348,795,581,
449,886,500,010,138,408,190,903,446,230,771,091,720,536,002,420,689,344,546,
321,805,944,052,635,795,889,265,390,488,747,532,385,546,910,055,555,289,226,
142,876,106,693,446,945,605,624,517,139,331,789,015,265,661,421,738,244,467,
591,997,864,159,662,328,253,766,882,028,245,965,403,576,053,439,965,172,427,
909,478,800,897,361,537,416,219,155,614,236,462,498,165,228,507,012,051,471,
996,493,859,806,129,385,597,237,280,284,527,809,145,842,713,045,870,332,865,
068,272,024,891,285,625,575,920,732,753,754,502,001,728,487,289,478,138,166,
196,220,971,571,695,702,603,310,688,215,703,506,421,476,976,099,308,756,763,
123,464,739,567,137,466,200,070,771,685,693,078,987,689,813,981,047,715,296,
631,037,448,121,476,032,409,906,589,081,021,927,451,619,851,752,408,938,295,
013,066,635,133,159,438,547,406,740,955,015,633,512,508,924,661,166,715,939,
478,896,420,338,407,041,319,809,899,359,875,385,287,733,801,887,883,666,637,
861,656,945,119,130,671,053,674,731,124,794,526,886,560,784,829,983,962,471,
076,669,961,817,027,454,899,768,318,855,881,481,442,013,797,681,250,099,171,
060,724,144,321,444,626,981,842,880,667,120,095,209,433,894,736,341,914,272,
964,161,366,968,390,165,271,359,353,930,271,488,334,428,218,050,162,047,398,
893,455,397,923,803,329,376,310,981,753,849,757,425,504,771,676,029,574,930,
386,610,960,008,412,510,700,520,519,331,134,863,182,192,138,422,324,626,685,
438,092,717,219,499,419,249,046,737,195,220,459,140,871,881,855,679,597,095,
024,326,871,997,041,169,673,225,108,142,395,316,726,214,007,637,677,799,739,
347,932,308,700,382,752,917,175,096,906,382,380,849,500,419,502,078,400,282,
147,287,806,842,097,800,840,661,027,107,833,907,150,334,076,023,368,534,112,
222,524,324,839,475,228,729,774,528,125,328,902,507,837,436,937,434,951,712,
763,152,375,221,638,328,513,573,880,087,744,464,478,103,739,511,952,855,833,
515,910,035,201,319,124,027,327,796,631,056,313,265,186,757,454,061,175,925,
347,976,818,555,127,897,784,855,612,604,676,012,568,952,111,257,566,330,135,
424,698,381,164,929,207,005,438,065,349,487,463,248,076,083,562,743,321,689,
595,971,244,610,743,887,852,590,483,863,842,258,426,445,414,930,823,075,503,
805,882,048,416,857,011,091,282,833,999,863,713,125,419,289,972,976,480,701,
547,722,325,222,301,767,843,169,889,375,451,149,293,992,805,628,560,108,934,
110,282,849,038,517,864,195,465,323,851,358,861,516,526,144,372,682,452,502,
844,097,179,366,675,137,260,467,523,460,025,610,299,184,210,798,351,111,420,
641,962,951,623,739,145,887,342,935,164,582,284,429,829,436,826,922,155,741,
931,835,645,885,738,471,968,510,726,595,435,314,876,471,643,287,888,470,771,
982,814,506,901,605,551,776,581,809,293,169,661,974,903,516,759,807,617,053,
339,354,580,909,214,770,826,739,149,673,953,893,153,366,692,121,924,685,276,
312,679,037,540,657,079,480,654,490,949,818,170,008,545,978,586,295,134,957,
991,226,494,166,152,546,000,151,054,476,871,492,788,673,951,377,178,293,287,
582,012,039,795,987,935,995,425,608,470,687,783,091,189,119,643,202,648,699,
017,205,827,951,802,706,359,563,025,945,583,494,289,610,800,485,435,633,740,
984,896,586,590,710,230,136,441,286,191,040,251,515,637,783,513,888,112,298,
936,026,052,381,931,412,831,628,130,183,223,918,042,997,556,052,499,426,369,
190,461,194,580,466,070,999,288,200,466,651,746,328,757,870,896,627,630,868,
517,659,459,407,297,743,158,580,895,399,581,649,355,618,626,834,521,589,365,
591,969,013,485,401,215,750,520,769,760,431,782,955,785,296,098,848,743,527,
619,799,219,679,288,144,766,182,299,007,993,535,571,740,699,971,810,211,079,
898,767,450,422,101,995,135,457,628,789,496,639,600,875,857,221,363,812,337,
759,736,720,848,812,354,499,102,920,740,867,650,042,639,397,433,626,062,534,
563,052,932,912,995,329,666,116,226,605,550,672,026,785,112,896,250,015,637,
376,864,194,472,341,122,575,992,369,598,677,812,520,918,558,202,790,641,256,
306,348,695,996,189,807,563,234,142,465,063,041,734,525,114,530,330,425,226,
202,756,390,926,077,742,535,081,804,688,989,441,633,899,042,413,324,581,626,
304,901,246,185,599,005,923,280,943,580,076,378,988,841,436,261,204,981,514,
899,931,505,472,336,068,914,523,444,720,313,530,515,890,147,733,613,381,795,
701,925,203,371,251,146,844,260,399,840,305,882,433,785,696,878,179,701,685,
032,094,855,643,680,554,738,376,890,343,728,205,685,420,671,484,035,471,141,
183,087,105,479,018,649,227,654,583,408,673,273,137,355,364,882,756,346,094,
992,098,327,355,628,720,381,941,080,025,662,219,690,445,265,192,575,118,153,
228,329,343,329,233,018,466,379,784,922,656,666,598,698,630,259,577,563,103,
420,200,966,998,818,074,885,744,261,430,787,781,798,650,678,401,984,154,878,
289,356,980,654,071,366,125,859,477,909,299,162,832,633,185,603,643,983,119,
294,119,530,586,819,755,984,999,089,698,835,199,084,048,284,692,041,712,197,
999,088,516,326,072,103,857,528,714,414,583,729,271,133,282,398,337,825,302,
419,000,864,455,580,263,705,951,347,317,866,573,294,941,719,740,085,399,917,
342,183,993,340,933,936,640,917,377,986,073,887,271,559,648,643,448,897,610,
397,578,972,301,508,179,558,084,314,483,774,952,065,623,223,793,140,503,961,
559,790,491,264,566,425,695,985,553,362,887,002,384,662,473,244,871,994,728,
495,014,459,685,707,226,150,790,167,563,516,038,267,962,875,521,786,606,111,
787,057,174,528,205,766,272,789,487,937,010,855,981,833,727,502,233,748,619,
440,097,990,486,305,167,087,126,590,987,248,105,943,170,389,871,821,097,215,
041,942,791,501,160,240,278,466,449,379,351,124,938,933,260,103,601,665,264,
996,730,705,887,928,080,666,782,688,016,989,266,591,830,291,017,576,946,939,
197,941,073,288,978,025,974,835,363,398,223,735,589,802,430,960,460,378,928,
401,412,013,304,538,540,007,959,076,603,381,030,824,681,484,925,292,298,733,
202,425,673,085,203,499,981,582,393,881,332,602,971,708,411,458,781,733,898,
861,135,004,590,584,107,807,520,743,024,559,946,195,243,446,655,701,959,288,
266,790,859,742,535,699,872,177,023,010,677,631,562,262,820,152,678,990,388,
760,902,915,716,680,772,701,794,635,952,967,251,325,546,492,258,713,548,459,
614,895,387,944,059,350,610,636,269,198,631,237,933,801,426,743,318,359,175,
532,583,671,153,010,189,857,250,895,389,359,977,815,016,631,311,599,859,457,
304,855,396,911,528,767,917,202,538,217,270,645,359,096,615,473,191,702,384,
583,281,673,727,423,612,391,741,845,295,591,845,426,802,661,153,868,833,123,
316,295,934,528,504,232,915,079,728,809,175,696,050,501,452,874,704,111,438,
095,625,147,354,640,398,180,097,986,696,588,231,601,866,391,284,503,232,689,
041,496,285,671,786,901,415,151,753,461,604,183,503,899,000,137,187,272,701,
015,616,107,017,185,878,513,317,428,163,794,220,658,289,465,507,266,551,786,
782,040,440,084,543,318,512,174,527,881,993,054,387,816,752,494,795,729,367,
185,049,382,000,835,152,080,405,954,120,514,494,500,793,432,181,754,814,880,
238,561,371,795,494,171,893,381,775,819,480,177,599,910,276,780,130,323,066,
128,031,350,098,903,678,997,539,573,759,682,376,370,292,120,102,306,329,912,
650,967,096,855,561,088,613,544,337,829,170,378,334,029,931,067,649,613,880,
900,598,729,095,228,525,659,158,691,036,645,795,584,468,560,177,437,483,918,
309,480,285,695,949,133,725,671,085,097,645,112,853,592,536,508,161,605,123,
395,899,711,738,476,407,092,809,379,778,180,137,471,706,385,457,121,454,680,
964,212,439,494,111,221,487,533,274,963,400,124,088,130,049,058,659,376,616,
866,042,667,377,569,964,373,633,337,888,082,774,654,084,468,902,480,217,248,
236,857,743,444,480,692,619,183,757,042,918,466,174,299,944,327,781,650,776,
291,383,147,499,336,059,829,725,870,937,855,326,900,635,647,838,539,938,595,
790,831,365,206,079,992,013,026,061,442,490,375,129,644,443,453,350,400,021,
818,952,300,021,117,815,509,547,509,926,287,049,361,947,690,614,977,405,786,
843,499,767,662,671,855,246,934,156,697,622,377,842,966,034,295,682,827,264,
223,300,909,848,662,933,701,752,133,515,905,316,320,025,555,170,155,875,678,
503,169,946,258,473,017,182,827,079,429,521,676,924,495,739,258,551,993,285,
995,686,763,891,403,396,651,758,959,889,822,160,453,068,859,878,066,339,213,
121,793,345,187,521,026,319,652,569,712,841,968,594,070,424,178,409,677,718,
993,333,087,918,405,579,659,294,438,473,650,926,207,965,610,992,722,869,241,
017,515,489,841,760,889,180,654,317,762,551,569,118,735,010,342,057,227,185,
031,682,082,021,710,729,294,692,011,870,420,929,489,932,087,485,231,637,305,
005,499,692,441,476,220,971,009,709,288,786,576,705,291,613,176,971,696,607,
008,946,879,064,106,773,592,818,658,377,948,428,439,478,826,309,723,704,136,
336,851,797,783,186,929,559,313,174,442,067,154,474,358,497,972,012,251,585,
341,899,744,898,619,816,648,366,861,590,241,826,490,835,099,343,304,665,808,
300,466,576,352,158,265,603,132,301,629,871,249,838,829,270,168,890,158,486,
582,351,120,814,540,839,591,565,270,828,800,966,314,428,290,203,233,672,238,
249,076,988,521,563,273,735,730,814,900,527,916,567,223,783,772,442,641,486,
110,201,454,698,463,334,431,842,572,506,823,858,589,244,065,588,933,938,308,
290,987,221,360,414,307,261,334,283,403,394,997,860,105,390,125,940,243,425,
446,434,826,893,786,141,812,085,264,031,613,664,755,671,382,346,003,425,055,
159,729,125,023,025,081,541,290,647,046,881,576,286,261,593,268,371,483,656,
608,215,394,331,689,711,298,012,825,129,329,746,232,718,414,796,231,422,654,
978,666,443,255,201,105,327,313,676,841,857,347,302,386,784,809,359,311,116,
634,550,146,521,190,596,234,814,368,522,489,035,014,710,412,682,386,324,311,
032,056,085,451,207,585,572,836,365,340,715,841,790,201,692,503,495,885,184,
671,670,747,329,706,221,240,765,755,465,306,322,434,836,033,278,404,449,475,
640,154,303,825,227,037,594,021,849,154,857,855,279,480,054,445,990,339,319,
762,374,257,645,838,862,750,680,366,353,807,045,230,095,300,222,239,204,522,
065,172,677,257,038,138,341,976,532,116,469,976,276,216,121,494,365,341,401,
326,127,644,345,967,842,851,203,546,961,626,523,206,843,545,462,182,346,269,
256,943,674,672,102,455,590,005,725,839,434,590,855,107,023,333,159,854,322,
470,122,938,391,816,807,678,611,726,017,888,508,137,331,277,751,139,015,783,
631,480,790,753,321,019,157,017,407,999,486,815,393,745,905,825,444,752,399,
044,913,090,683,116,867,534,799,858,425,859,483,275,571,590,610,298,780,372,
861,935,071,546,435,091,590,869,516,609,865,472,211,934,324,994,316,077,963,
997,581,284,741,843,332,913,333,265,702,110,745,166,066,855,155,585,600,692,
941,344,966,327,088,552,985,045,083,674,540,390,986,658,109,001,431,378,451,
246,125,749,912,991,443,204,160,863,710,946,983,221,388,826,666,504,766,531,
457,358,766,088,933,464,799,181,555,421,890,989,544,800,062,740,566,589,993,
674,092,934,857,321,337,431,273,292,459,146,377,175,122,609,437,208,817,517,
101,330,747,783,251,470,955,102,561,122,370,192,042,868,123,719,153,966,909,
289,403,107,107,430,764,329,458,505,852,251,754,646,337,003,132,536,565,249,
248,234,909,366,771,243,613,349,259,094,736,338,085,739,533,146,119,664,903,
064,950,051,297,424,949,944,979,834,250,856,209,651,089,458,541,608,669,596,
178,864,296,086,176,318,683,989,490,238,941,881,013,754,818,610,828,939,226,
951,051,894,746,711,880,768,824,988,044,082,507,531,372,701,865,221,394,585,
880,221,460,047,838,365,209,134,087,167,894,223,399,249,311,646,721,712,450,
126,718,830,878,150,229,239,909,170,653,372,866,179,145,196,316,279,091,147,
912,397,842,642,284,331,176,872,529,400,994,758,536,593,770,881,120,888,840,
747,145,170,013,577,010,743,357,073,348,720,676,150,060,389,694,108,659,739,
792,534,903,760,315,844,208,904,545,928,332,326,434,442,995,101,379,003,820,
721,368,605,376,201,979,470,939,813,725,949,507,311,333,949,837,157,827,510,
121,881,373,756,811,842,968,322,206,940,479,752,027,910,681,929,514,468,697,
475,482,927,559,444,995,070,802,101,517,174,417,066,065,970,441,069,511,353,
053,755,736,837,473,076,638,608,093,470,460,904,048,338,841,720,285,827,660,
586,335,380,749,503,161,324,424,264,582,748,257,496,969,379,251,890,422,308,
939,405,840,208,027,809,830,309,208,117,555,765,232,562,747,565,465,531,157,
382,198,656,041,520,107,203,679,193,857,653,525,830,611,932,479,323,602,931,
670,420,137,876,287,525,130,313,218,431,377,859,558,665,127,094,798,045,989,
994,393,345,709,880,782,204,833,985,677,525,685,474,361,263,221,132,560,306,
161,412,168,189,848,261,485,537,080,029,841,195,014,370,771,888,979,396,295,
340,366,735,087,164,397,827,395,339,253,709,331,165,996,052,100,567,482,799,
245,971,746,707,755,465,384,773,136,419,864,359,906,105,403,308,367,047,557,
134,525,142,382,491,583,995,400,410,074,199,091,782,578,730,835,182,108,650,
781,656,325,789,488,934,638,806,987,118,623,782,989,090,077,285,166,380,724,
269,379,901,321,001,337,995,302,675,459,336,751,566,736,676,489,636,967,572,
736,457,821,407,097,643,987,158,402,505,966,235,684,639,933,815,950,877,922,
172,353,684,479,461,631,070,128,336,611,297,226,091,464,060,777,723,720,555,
598,992,012,909,922,936,936,105,685,250,792,636,150,563,342,518,695,404,852,
066,755,968,670,405,800,119,923,383,428,559,930,002,789,776,660,058,338,274,
357,500,988,630,550,468,734,069,584,932,867,578,024,088,006,414,878,274,393,
771,396,918,644,685,582,106,003,406,610,804,341,148,747,769,304,144,765,562,
549,186,691,778,093,663,809,130,408,660,263,863,276,483,908,437,440,319,323,
928,049,003,160,121,652,307,046,312,949,026,010,627,800,399,181,446,582,560,
253,953,079,845,737,719,033,060,747,279,302,128,454,005,860,987,791,984,928,
346,004,325,674,710,816,602,653,759,198,696,936,479,904,842,747,613,739,144,
054,880,560,296,538,224,303,534,304,378,280,127,077,054,375,306,577,995,814,
078,477,123,085,469,022,884,356,648,561,902,980,339,520,759,491,444,929,285,
214,947,566,878,215,025,835,870,296,034,703,588,478,913,437,393,116,111,112,
082,563,445,165,052,256,092,545,850,115,482,975,823,792,708,516,691,683,849,
266,240,289,029,428,842,240,596,144,111,598,430,143,942,961,256,359,245,417,
852,796,518,443,751,124,214,692,093,200,656,123,936,870,359,272,742,203,218,
022,226,277,293,070,788,667,249,818,655,008,991,045,574,832,710,444,667,764,
535,333,890,232,702,862,543,742,233,988,991,450,177,890,351,971,934,342,535,
289,097,251,906,214,395,553,119,717,036,760,695,747,011,850,894,055,811,628,
475,262,341,601,813,638,349,920,772,308,556,411,791,341,820,700,602,643,157,
581,187,813,528,074,736,794,731,521,682,787,759,306,090,062,121,813,562,153,
350,166,035,382,105,620,757,638,591,325,338,067,968,630,716,509,043,691,482,
472,538,130,864,140,473,365,518,684,178,875,436,972,858,120,183,479,462,929,
665,077,625,389,196,588,345,799,139,213,438,948,692,931,381,942,944,418,697,
329,876,661,690,167,528,654,725,557,199,325,673,883,590,442,714,193,109,328,
992,740,390,273,976,373,035,446,894,939,689,901,944,948,823,544,666,525,442,
233,416,537,545,862,293,333,989,764,172,213,190,950,831,825,588,720,217,955,
598,584,351,726,469,252,017,587,875,574,369,623,472,950,186,184,996,557,075,
544,040,523,060,996,917,907,753,770,398,478,876,232,629,316,205,921,481,902,
001,728,965,429,783,085,651,826,384,922,299,246,104,124,575,008,215,724,161,
221,366,744,528,835,194,198,310,120,416,997,682,409,767,972,459,966,582,485,
818,009,696,842,074,010,838,206,776,587,740,114,824,021,235,558,848,678,007,
464,910,185,185,738,064,679,893,917,668,348,843,617,801,603,755,393,448,265,
276,609,722,480,003,050,309,284,533,657,381,572,706,197,071,115,241,639,379,
991,799,385,403,821,108,062,679,205,578,513,398,824,259,386,059,267,452,265,
922,848,960,650,233,334,344,441,098,678,406,793,081,371,114,906,108,023,508,
857,129,867,407,699,821,000,491,944,194,310,080,165,239,046,806,628,486,078,
804,884,531,824,307,088,678,242,972,051,455,889,908,342,825,670,071,144,138,
434,456,703,752,997,661,792,348,753,125,048,233,199,116,740,908,718,137,211,
019,295,240,376,357,000,409,878,517,619,023,138,698,946,074,347,068,675,221,
949,758,178,241,676,767,630,805,053,940,938,777,473,294,813,263,949,575,194,
221,858,539,467,543,695,367,281,606,425,285,302,474,862,927,996,371,965,785,
647,874,499,601,424,244,507,697,896,271,909,381,469,349,419,914,920,003,678,
402,594,476,358,141,347,418,763,749,105,242,776,080,093,265,615,647,345,427,
708,265,190,438,536,842,098,778,908,213,063,285,197,144,483,341,420,408,882,
263,417,641,237,453,205,713,976,734,944,314,403,011,562,744,962,912,734,791,
068,665,219,475,588,464,023,869,835,315,266,249,950,968,047,468,633,143,404,
016,817,868,588,926,313,882,330,459,470,691,126,227,361,306,968,623,296,531,
154,696,809,183,903,557,718,867,011,078,717,892,071,857,083,777,955,820,306,
189,083,939,534,126,914,499,808,522,885,950,287,433,577,714,745,024,367,670,
747,289,285,285,085,962,099,838,759,918,404,595,099,210,504,168,450,173,070,
923,415,658,498,239,021,489,831,329,507,071,177,337,218,965,451,056,321,186,
113,201,488,466,455,691,987,436,325,828,237,454,873,111,991,987,903,851,376,
391,904,651,868,378,464,580,123,016,971,978,208,151,739,292,458,902,443,821,
169,545,795,316,627,404,761,510,525,981,652,696,977,125,950,844,302,415,939,
101,222,224,792,713,994,003,562,590,721,780,858,462,504,247,096,201,056,738,
618,980,847,411,712,606,225,957,419,167,682,123,585,335,091,343,243,415,147,
074,503,036,462,845,269,875,298,700,417,303,757,441,171,324,741,367,421,631,
667,770,479,388,087,810,643,762,726,141,235,544,594,203,885,797,475,801,948,
719,052,520,878,143,007,620,007,145,794,482,774,417,375,512,431,726,979,882,
792,219,809,571,448,477,617,776,005,852,844,154,758,997,926,433,280,767,165,
263,642,340,030,961,508,963,978,887,190,717,437,926,348,980,512,196,530,496,
799,254,769,628,681,172,414,407,973,382,493,066,216,738,493,548,383,845,274,
486,869,257,403,109,821,985,206,508,380,981,030,391,421,226,783,069,639,656,
840,718,855,378,658,972,144,650,751,644,730,687,032,525,136,517,317,716,847,
661,808,643,969,918,206,937,326,313,359,873,060,056,177,217,363,053,756,137,
250,718,034,915,363,848,326,488,702,469,866,401,914,718,954,055,835,406,776,
170,039,656,856,297,315,030,974,462,267,858,317,956,889,292,436,193,886,947,
030,504,198,475,451,883,015,427,998,674,111,608,303,334,708,683,325,896,187,
331,628,657,765,600,392,205,740,900,999,339,179,978,924,759,615,473,690,844,
132,336,180,089,397,840,039,166,786,872,924,187,351,320,646,770,557,628,255,
595,003,761,550,238,073,801,828,916,638,771,179,463,291,269,309,272,942,947,
602,463,698,323,821,693,609,126,845,510,809,694,074,057,545,516,544,910,927,
891,873,958,554,639,119,459,464,063,387,942,521,166,130,438,005,848,338,381,
882,545,786,693,389,955,741,005,788,124,236,348,118,202,640,726,053,123,961,
709,243,780,074,210,864,269,569,395,475,272,453,040,950,558,715,649,071,043,
346,934,776,789,422,644,954,476,765,646,286,786,573,910,390,143,939,251,493,
975,962,862,857,664,081,478,862,856,503,852,687,175,106,422,475,257,715,296,
092,127,104,276,002,641,417,371,479,356,666,767,798,939,072,590,523,187,513,
235,371,954,127,797,180,644,728,449,963,522,956,626,676,150,484,430,343,413,
479,725,734,588,005,267,392,305,648,863,885,926,875,878,482,631,941,994,521,
023,219,113,714,174,585,209,031,499,798,452,389,416,166,786,671,456,342,110,
259,439,620,515,533,771,014,683,039,715,295,996,110,028,773,232,643,103,536,
229,124,521,831,040,236,634,180,183,756,946,488,260,550,429,710,512,297,787,
107,229,768,093,681,802,163,115,781,150,051,397,587,777,110,163,691,247,178,
280,268,634,631,532,989,737,007,369,541,547,467,086,692,512,161,448,106,793,
383,784,079,081,279,285,336,604,931,790,043,034,885,716,572,240,973,709,737,
565,858,864,155,252,949,695,910,662,230,326,180,065,899,325,645,823,772,829,
165,368,152,301,940,302,827,177,670,364,882,663,350,448,015,446,089,357,490,
447,199,963,379,505,026,664,356,074,525,499,113,105,444,107,665,945,068,192,
948,710,614,854,925,963,560,527,389,986,639,543,087,848,497,031,598,474,634,
112,766,676,595,986,754,003,338,685,193,472,223,657,508,670,563,673,421,964,
586,112,516,435,739,694,135,885,092,718,750,316,889,720,582,616,294,719,793,
875,662,836,391,578,774,409,251,416,114,173,382,198,630,650,828,141,590,255,
204,939,578,693,567,456,379,870,765,699,531,050,197,418,656,430,278,434,524,
570,501,446,835,881,936,406,280,142,107,639,527,171,902,997,196,080,303,854,
549,168,213,301,015,126,941,541,663,704,807,428,216,644,751,725,203,813,032,
261,515,058,995,740,305,474,979,729,131,206,199,316,176,821,406,468,431,431,
182,344,508,753,847,662,998,013,943,725,661,198,389,262,972,205,547,462,392,
927,560,930,571,050,139,371,154,676,539,257,491,457,244,394,199,815,979,501,
147,299,350,602,456,730,266,287,543,113,672,892,517,218,156,011,008,746,575,
194,550,530,860,165,150,904,902,849,022,336,370,991,531,117,883,646,898,475,
338,080,889,800,862,047,782,816,664,201,471,965,170,594,187,999,762,283,596,
114,137,590,792,870,663,786,748,570,270,709,355,995,139,649,897,598,816,691,
806,685,894,891,067,297,767,280,913,627,180,575,247,866,631,338,653,603,501,
199,318,401,253,601,999,148,835,328,339,047,356,250,502,707,346,515,986,482,
448,348,961,911,149,989,828,930,903,711,051,294,012,054,010,655,730,137,638,
078,794,603,077,529,508,150,481,201,949,021,961,337,108,105,899,753,540,769,
574,793,973,767,782,344,051,732,252,566,077,776,460,338,134,096,234,990,332,
454,094,611,189,716,444,607,634,462,901,679,244,155,199,421,531,673,743,764,
076,142,741,677,646,106,407,133,815,396,144,315,641,017,701,466,177,223,524,
624,623,377,969,964,673,649,327,555,832,769,959,462,045,256,187,456,950,204,
302,958,780,173,800,290,122,033,910,944,646,118,359,133,821,397,190,451,705,
912,956,714,505,411,395,640,037,539,315,179,019,554,424,364,977,998,531,500,
422,567,451,272,055,566,294,832,779,333,631,676,312,662,821,411,950,707,386,
852,043,396,617,583,633,319,893,471,078,740,396,047,793,379,286,908,019,197,
837,411,957,636,826,855,562,547,476,298,480,233,023,343,364,453,405,484,097,
341,988,883,335,949,261,638,213,376,863,829,525,134,555,718,371,614,062,096,
471,342,639,854,168,041,954,361,260,564,634,775,113,178,247,110,972,846,909,
229,042,198,255,202,048,096,402,671,664,994,041,872,838,627,142,601,511,823,
261,705,442,435,427,932,850,974,884,001,692,828,242,392,753,843,334,201,358,
828,019,009,174,532,120,131,585,225,368,555,645,950,524,260,346,451,802,092,
160,504,088,072,557,020,089,995,622,115,165,311,463,165,617,477,673,615,518,
052,938,660,353,664,224,644,239,929,148,617,842,658,202,625,295,136,569,571,
382,018,967,703,453,912,797,375,418,146,713,514,576,618,812,946,282,341,090,
823,629,051,130,715,615,640,840,628,897,121,103,717,730,682,064,951,153,475,
790,323,264,192,949,922,400,231,889,194,082,936,559,084,173,858,640,699,802,
456,566,736,717,149,760,474,806,802,919,914,345,624,038,250,976,054,352,157,
235,259,818,058,264,764,168,692,215,830,383,238,600,881,467,402,442,054,306,
359,241,576,954,320,820,857,261,773,530,064,516,267,199,768,823,122,577,097,
681,225,241,820,786,338,342,966,542,848,802,143,256,702,995,309,618,359,973,
016,639,214,377,886,917,474,666,289,123,798,566,601,068,105,033,614,867,527,
726,283,119,778,614,882,925,455,433,108,063,748,845,817,265,078,279,639,672,
016,169,029,697,338,003,056,807,582,272,437,101,945,499,310,398,047,081,203,
954,104,800,214,316,384,109,870,917,548,654,541,406,562,709,404,724,662,162,
148,688,686,474,380,635,237,578,211,237,755,205,755,188,182,394,390,313,235,
799,019,836,287,334,663,620,749,257,118,649,827,561,042,147,091,578,882,963,
787,467,886,606,832,777,619,371,181,681,457,261,065,130,333,880,023,978,576,
299,966,392,508,554,387,005,495,515,745,600,869,142,167,901,726,442,954,079,
107,568,287,086,116,253,485,619,407,043,713,100,209,538,886,486,267,443,320,
721,414,772,215,825,054,966,000,246,446,315,914,697,531,817,489,256,624,813,
212,044,086,300,034,724,592,307,799,460,337,782,592,314,701,878,713,448,111,
567,563,847,880,097,939,886,933,802,598,980,426,166,013,634,303,938,443,208,
025,259,363,647,673,092,221,022,849,651,439,517,955,209,991,854,756,939,687,
374,088,602,152,000,161,461,628,361,346,672,345,550,086,283,127,831,926,859,
851,396,277,855,867,022,883,192,226,239,678,465,885,484,060,650,035,078,279,
169,036,655,578,815,973,306,335,578,295,555,717,396,581,636,386,707,786,543,
882,021,572,487,056,836,752,296,013,598,264,706,594,292,456,360,102,067,039,
166,737,887,253,679,591,000,798,387,069,372,325,599,070,750,790,425,972,997,
082,178,316,688,687,867,781,186,972,805,575,486,804,049,195,262,424,658,473,
556,215,339,492,476,920,177,106,885,163,397,570,140,137,266,463,701,443,337,
449,335,800,753,649,532,237,918,698,795,137,416,938,711,493,972,293,107,852,
134,074,661,774,169,534,385,574,326,247,146,815,982,332,646,860,710,535,421,
371,629,049,277,775,155,256,540,272,718,570,747,554,243,327,976,014,149,170,
597,794,254,741,265,382,419,571,842,780,812,991,874,634,125,568,805,335,164,
456,952,051,370,291,160,689,912,260,420,492,206,301,733,358,305,015,999,743,
697,740,562,022,197,580,088,414,294,638,448,510,590,742,989,339,823,927,154,
572,884,886,659,769,042,150,520,497,879,121,378,963,416,151,846,553,197,202,
935,476,686,529,558,837,686,652,476,892,012,450,464,210,381,818,217,587,416,
446,918,230,441,661,091,967,625,824,037,668,881,348,686,821,589,789,603,589,
159,270,092,440,783,472,594,851,613,680,636,425,207,563,011,022,322,480,074,
815,275,702,691,592,916,468,023,667,033,034,538,141,221,596,491,510,235,967,
991,261,840,301,561,739,594,016,199,211,395,015,467,833,944,777,087,000,533,
798,232,890,660,355,810,525,000,831,626,290,454,247,526,965,823,186,986,196,
977,284,037,494,816,727,850,661,098,772,002,432,239,465,883,157,074,451,041,
427,037,189,625,991,730,889,744,107,092,559,938,883,348,179,660,253,948,768,
950,052,895,589,993,589,546,799,441,945,792,906,960,374,006,223,781,311,583,
390,553,669,675,251,630,148,633,633,410,852,703,784,934,501,585,725,638,133,
866,490,512,733,978,580,077,166,690,048,776,865,463,459,289,562,147,393,790,
533,981,897,062,510,222,382,433,944,619,978,254,793,426,621,453,207,915,610,
283,143,590,687,482,906,497,095,571,757,727,760,711,774,736,440,217,506,837,
853,697,091,089,866,344,333,060,021,564,483,953,019,195,000,797,295,730,851,
672,328,630,589,667,727,314,942,628,938,108,934,611,007,328,618,546,088,542,
469,338,307,059,841,709,169,625,272,734,812,299,039,582,856,472,740,234,612,
201,083,192,597,018,010,794,007,702,646,725,792,969,942,360,700,626,139,860,
029,505,970,442,967,717,079,555,778,507,832,111,413,721,356,872,491,200,245,
069,932,246,376,431,744,719,028,939,201,986,324,604,145,183,913,999,543,302,
257,920,919,668,516,828,901,268,707,894,778,930,923,087,789,030,775,153,065,
491,007,647,706,795,368,715,134,299,839,331,940,431,351,577,741,965,513,415,
100,561,437,122,172,103,760,959,561,205,061,621,665,464,522,021,705,305,062,
659,421,952,194,507,749,023,475,667,180,934,191,496,571,711,809,257,980,152,
572,494,220,260,074,303,666,625,134,022,912,426,116,572,368,186,352,162,373,
519,078,721,282,669,106,800,958,571,177,016,381,569,112,598,943,075,118,701,
381,110,230,695,367,670,492,050,970,981,612,620,146,872,051,421,257,798,377,
413,746,773,187,437,195,237,669,033,198,885,224,248,529,150,678,681,977,702,
465,989,942,624,524,572,158,820,010,535,523,209,813,603,401,949,060,160,164,
961,901,529,141,612,384,282,912,230,696,145,768,967,273,863,152,083,971,590,
994,969,951,452,709,248,656,171,251,717,155,824,574,451,330,370,692,273,575,
644,139,580,401,411,207,652,644,510,199,040,388,068,636,787,436,164,589,923,
617,278,141,179,698,576,801,505,953,382,239,582,180,868,283,300,301,724,535,
128,129,606,996,487,183,379,870,268,417,407,282,990,871,723,915,656,730,593,
535,355,900,027,410,008,875,942,202,991,350,885,300,260,309,871,710,138,395,
357,205,870,798,933,276,948,340,732,161,755,426,370,248,072,838,199,105,308,
793,864,694,047,062,846,624,781,164,931,841,021,860,504,271,989,128,315,274,
814,968,011,107,868,537,396,071,621,832,998,339,162,850,768,009,041,530,967,
403,644,663,815,810,080,771,923,141,762,160,852,083,188,712,623,796,134,823,
080,604,888,923,830,997,521,899,745,775,743,882,825,632,884,979,809,291,485,
980,847,986,860,623,976,250,034,627,848,370,964,942,596,260,386,497,999,773,
132,185,465,296,289,145,877,315,956,040,588,102,367,379,417,086,204,567,529,
165,407,888,258,084,334,069,370,185,851,417,368,417,952,366,713,675,889,197,
547,400,189,647,354,613,533,177,754,070,561,359,280,218,656,061,707,456,403,
582,230,458,037,759,148,278,975,214,881,911,312,542,551,160,617,832,220,478,
026,433,352,663,855,248,075,758,480,547,699,494,421,427,561,733,802,440,585,
567,869,751,196,753,322,251,385,786,574,138,570,383,594,516,404,503,391,985,
072,459,649,740,731,428,018,202,163,888,876,599,291,649,719,891,792,927,200,
452,121,104,596,238,805,791,602,798,930,550,268,118,879,202,440,144,508,732,
196,417,399,016,217,489,065,509,961,580,574,792,180,606,423,639,447,792,852,
389,803,475,343,992,864,421,739,824,873,348,872,295,549,393,776,239,150,026,
153,552,461,320,671,560,483,288,185,405,716,645,204,420,822,901,501,135,992,
458,010,553,266,861,846,635,745,867,778,300,567,521,950,967,554,141,284,469,
400,536,725,607,569,565,319,443,925,588,287,208,071,143,905,065,102,737,304,
900,665,187,934,857,680,010,840,492,290,828,407,491,817,218,173,125,576,148,
370,330,677,640,706,041,957,731,210,294,515,804,115,712,606,362,854,153,115,
562,246,177,239,106,076,833,076,238,062,210,655,684,024,888,639,464,366,082,
250,307,584,030,049,751,445,341,392,853,619,997,489,411,185,854,870,826,011,
360,447,068,608,528,445,323,123,801,290,490,173,677,020,244,171,231,067,631,
262,555,301,410,033,248,738,249,181,593,976,942,629,278,600,829,194,565,398,
173,855,304,630,003,044,567,171,404,717,263,017,379,520,355,858,503,693,278,
486,786,158,864,561,942,384,015,676,750,682,288,361,739,452,583,911,985,227,
730,340,491,826,340,832,417,817,899,386,956,521,841,222,570,707,851,392,270,
769,817,254,783,290,510,518,117,422,783,011,188,472,791,855,655,756,817,493,
148,314,069,495,396,926,476,300,925,479,774,311,551,540,438,875,979,541,991,
661,493,156,656,910,695,061,055,481,780,465,010,945,817,839,811,944,613,715,
564,526,601,608,068,737,123,131,099,891,805,429,643,237,452,480,930,403,982,
373,621,705,944,889,916,127,971,706,480,300,667,428,380,745,780,819,313,988,
297,625,304,666,058,141,686,020,908,883,066,746,470,000,479,996,508,731,022,
307,967,496,903,648,336,927,452,111,231,404,954,525,162,699,640,174,184,916,
228,013,385,262,686,436,634,456,812,249,652,570,476,362,326,716,847,708,710,
327,365,205,796,830,637,959,408,975,006,762,932,236,728,973,130,027,245,032,
409,764,243,269,652,219,523,451,454,304,387,633,606,130,246,107,372,247,138,
092,161,220,834,550,465,153,860,158,226,312,512,183,329,619,825,620,496,141,
052,992,876,191,044,689,766,821,328,823,828,701,894,315,850,012,062,665,847,
775,770,402,770,104,015,664,750,037,772,603,532,752,193,717,539,480,761,754,
159,603,902,330,515,227,280,670,282,569,050,957,122,505,751,804,769,195,850,
532,704,427,426,348,668,984,816,622,088,191,257,482,107,687,625,346,192,048,
245,869,525,954,079,068,700,553,759,388,585,344,910,428,369,581,266,480,278,
543,940,154,282,924,664,952,249,522,366,521,996,144,578,414,628,349,174,251,
037,519,238,664,555,879,038,709,193,142,349,916,402,316,830,085,032,431,658,
385,695,876,764,065,205,640,163,815,421,726,728,557,580,253,269,521,757,442,
086,485,694,055,051,069,931,250,910,355,341,622,636,152,009,250,196,317,539,
399,108,612,922,440,982,406,304,582,416,434,037,686,055,724,720,457,274,627,
666,869,332,559,980,598,284,629,856,344,537,868,954,361,201,947,954,239,249,
679,515,891,559,681,264,766,246,497,121,112,370,779,274,894,899,217,418,232,
215,037,702,439,302,726,887,361,989,946,747,063,269,825,955,900,766,341,183,
747,499,385,972,146,334,096,622,231,540,601,316,976,640,044,739,497,409,551,
762,686,020,505,395,448,866,991,177,776,212,794,505,306,393,346,100,009,000,
993,771,120,052,096,409,817,749,989,659,901,552,667,122,570,072,152,588,937,
647,971,142,341,656,391,984,110,850,752,506,950,456,007,154,028,946,289,083,
125,576,835,638,685,668,105,475,686,455,204,242,287,649,898,527,610,262,964,
657,699,036,284,061,736,944,445,526,111,124,670,104,359,886,610,291,663,514,
199,900,624,521,101,825,134,114,865,508,805,724,272,768,463,742,611,840,071,
341,354,778,642,756,379,634,564,945,108,952,245,262,384,665,544,435,823,259,
512,745,378,009,499,978,198,238,163,162,178,670,545,506,491,528,650,887,478,
003,133,766,987,141,592,935,895,938,058,432,548,131,156,918,815,956,738,544,
748,316,429,359,215,216,424,459,775,434,346,557,204,040,518,799,855,067,810,
708,463,948,310,918,010,447,851,334,777,793,808,687,556,064,358,757,294,884,
188,206,971,133,074,587,960,548,886,439,861,949,155,390,529,445,759,223,868,
536,304,054,145,247,018,587,061,132,203,112,449,526,043,918,202,553,798,814,
673,200,154,029,650,659,543,804,429,531,017,751,702,836,014,227,334,482,555,
855,017,869,260,733,589,515,668,168,540,507,469,073,800,256,441,463,725,179,
552,055,624,167,094,453,957,541,209,820,905,930,039,429,293,361,330,934,438,
139,344,695,058,472,401,444,328,066,655,392,910,086,422,739,214,720,969,563,
532,272,727,123,799,163,679,181,055,200,781,031,075,729,092,933,727,277,451,
327,262,310,537,118,522,439,667,478,838,054,835,552,837,792,440,683,758,497,
868,212,952,483,725,016,295,932,036,802,758,206,555,476,651,175,069,770,897,
554,894,842,203,208,171,389,228,929,550,679,887,809,342,605,463,096,468,079,
524,431,893,738,346,585,307,486,606,165,810,559,374,909,174,605,063,765,359,
735,705,531,412,132,815,354,675,907,339,312,082,374,090,877,464,488,620,949,
378,892,058,107,115,351,051,817,430,447,956,013,959,488,454,938,745,150,855,
390,718,570,903,681,261,973,908,938,751,851,011,298,824,848,616,727,691,352,
402,345,620,873,695,666,335,941,458,137,452,740,551,216,187,435,688,391,701,
730,733,604,385,677,665,949,805,502,841,159,956,870,265,538,071,761,103,187,
274,568,064,920,631,978,004,164,647,959,355,407,381,385,302,174,419,044,893,
373,376,391,336,926,092,966,547,591,662,383,298,608,865,594,118,621,004,443,
840,855,687,313,447,466,261,084,590,514,457,975,844,178,662,750,634,116,888,
484,291,005,455,777,031,483,655,844,738,889,559,103,819,696,053,916,387,954,
763,706,055,782,328,351,978,864,979,898,776,862,076,403,135,399,124,165,079,
152,525,632,481,327,390,638,702,295,732,079,906,757,786,954,972,486,020,320,
953,044,211,638,020,809,638,506,158,819,661,261,078,617,618,166,737,518,702,
132,182,416,773,958,365,555,400,088,934,347,347,472,175,205,070,462,682,987,
587,262,795,549,921,801,749,677,353,584,558,919,488,106,283,302,665,743,943,
678,930,338,842,113,989,518,784,763,473,658,387,500,510,074,383,979,992,155,
534,893,518,662,583,176,475,818,386,056,480,647,050,290,718,495,923,773,810,
796,894,639,399,101,923,355,231,810,170,108,358,885,041,887,487,643,154,314,
505,286,321,881,579,437,120,780,021,120,462,978,907,126,320,015,925,773,592,
847,360,280,233,142,084,206,691,293,440,634,075,055,369,390,646,714,197,794,
414,976,715,033,030,399,132,496,202,438,601,079,557,202,846,220,439,796,756,
280,120,329,882,327,571,629,975,815,007,064,190,324,727,050,982,481,343,463,
465,159,051,446,696,495,685,414,000,296,720,488,017,368,309,178,267,895,110,
174,172,315,181,453,813,962,591,921,431,479,525,500,097,153,803,173,833,892,
872,330,165,663,947,184,307,234,566,286,193,635,951,008,672,374,188,668,598,
672,761,055,008,436,446,689,729,391,545,751,066,068,025,136,194,187,878,342,
967,555,737,721,377,064,942,379,673,299,879,807,192,812,032,214,213,544,043,
365,655,326,407,527,867,725,477,974,900,798,831,159,781,470,103,753,179,352,
704,174,611,685,484,946,978,326,776,767,815,303,690,308,310,361,275,183,101,
837,050,920,989,827,585,123,440,618,265,639,228,771,971,982,967,768,886,897,
762,981,502,540,922,699,210,648,363,091,691,818,412,156,554,007,391,079,648,
611,236,887,919,905,121,989,366,963,477,578,543,410,923,800,292,047,260,532,
437,252,061,155,773,629,629,184,145,943,256,310,888,020,171,603,646,504,234,
340,207,363,928,277,852,745,053,900,186,452,768,039,606,034,586,981,482,890,
510,793,100,762,336,032,586,257,303,365,694,631,358,218,189,722,373,292,480,
676,965,861,403,959,606,030,736,145,887,583,093,358,050,504,090,831,356,767,
441,717,219,266,804,142,500,130,732,566,603,592,119,899,720,240,283,742,132,
517,486,261,633,109,485,087,837,776,064,978,758,597,438,858,628,770,172,319,
268,311,348,357,097,531,530,380,130,989,876,405,613,152,493,454,361,684,735,
425,730,001,958,347,707,161,775,662,644,582,743,057,944,818,520,136,398,304,
635,730,391,253,676,226,476,909,300,884,172,862,814,654,331,520,351,685,991,
135,070,691,183,163,974,194,272,036,840,374,310,320,388,333,378,694,166,672,
031,471,920,419,461,818,892,219,244,793,360,778,391,720,993,520,714,118,867,
156,632,279,293,184,730,760,495,941,663,181,317,166,351,349,279,318,823,832,
323,965,211,356,249,792,900,936,952,491,106,019,104,813,035,450,822,409,341,
014,150,385,376,244,073,233,971,883,496,219,069,563,992,047,595,901,686,145,
377,889,195,527,177,661,263,703,492,287,303,625,944,081,210,211,938,890,011,
527,940,298,034,110,668,127,546,127,981,441,917,070,017,907,016,685,030,791,
830,066,555,336,188,827,976,169,074,536,780,813,324,428,839,891,618,071,972,
061,692,067,892,559,884,531,063,664,745,753,191,655,102,024,744,260,236,598,
120,235,809,624,899,056,145,490,588,047,461,369,670,133,580,427,873,893,350,
314,177,417,693,976,432,681,720,212,256,410,059,452,210,433,817,494,405,905,
913,058,304,232,753,241,749,348,352,396,246,690,846,618,679,251,319,316,311,
535,985,861,753,568,982,333,405,193,338,366,489,289,274,498,976,835,136,886,
857,953,149,117,118,988,693,047,226,301,452,154,313,531,171,648,530,422,993,
978,046,001,991,356,780,781,059,247,563,273,621,082,126,861,311,019,016,687,
378,301,959,053,828,889,612,038,603,969,380,049,840,593,539,884,564,480,560,
147,160,684,433,795,253,389,765,967,234,691,023,976,147,434,019,055,469,770,
724,004,943,609,248,747,481,819,774,175,261,146,648,889,928,097,577,685,997,
530,528,754,876,794,914,067,627,991,864,079,777,161,532,108,861,571,058,296,
690,614,900,751,975,385,243,445,824,122,705,902,593,854,924,305,685,138,831,
147,389,723,961,418,652,658,535,084,291,242,942,944,918,087,625,238,695,895,
114,214,406,499,970,462,384,546,795,351,310,208,119,386,982,153,352,461,992,
110,514,922,816,843,538,103,344,329,429,058,632,420,200,033,878,394,578,264,
560,662,404,650,551,153,637,176,327,394,805,953,215,454,464,982,663,649,335,
386,374,334,451,351,197,939,642,811,206,683,641,665,655,667,983,608,067,759,
429,133,338,798,279,496,855,547,766,377,356,162,769,213,069,801,058,709,356,
220,650,416,985,815,597,513,948,157,162,252,774,570,420,388,582,353,313,554,
448,350,487,407,078,742,623,088,235,564,241,049,371,487,816,812,441,526,556,
650,901,572,698,798,954,637,505,464,492,691,169,885,477,302,085,882,442,846,
715,269,747,303,302,635,524,649,172,051,095,523,397,408,822,000,173,085,141,
246,748,121,498,093,058,433,369,807,187,272,821,613,784,928,996,099,995,332,
898,987,700,945,971,461,151,308,944,706,247,980,879,406,435,867,462,374,780,
265,182,251,582,980,227,993,364,034,571,965,856,355,226,963,239,548,560,989,
846,373,465,197,164,110,680,574,244,442,753,700,652,990,653,700,029,049,484,
906,135,215,739,842,481,160,000,076,672,072,946,665,329,273,409,073,708,405,
508,226,931,149,822,105,157,543,068,798,009,333,495,037,599,841,645,790,707,
655,914,663,808,748,459,658,277,106,666,690,763,860,607,894,118,133,448,483,
039,170,022,169,425,589,862,274,080,395,077,603,288,133,565,215,698,355,189,
904,751,943,369,876,016,806,674,632,883,293,154,488,832,940,960,740,942,147,
923,656,967,100,702,815,698,586,624,608,415,764,742,286,291,201,053,393,521,
592,140,555,089,152,723,667,434,848,203,579,176,999,537,215,699,929,138,575,
116,067,871,079,551,468,051,300,038,549,783,292,342,887,032,227,133,611,124,
635,219,137,869,685,770,835,255,576,503,004,002,613,249,234,516,860,416,374,
797,615,300,103,158,307,119,902,106,837,751,354,357,370,080,404,575,370,661,
055,662,764,017,088,647,531,966,257,862,367,368,363,442,509,010,609,257,183,
972,304,747,322,683,796,445,949,194,770,681,388,816,976,590,945,399,130,769,
851,165,165,177,524,516,604,542,606,488,965,631,944,482,257,015,387,688,605,
430,436,989,617,590,718,149,494,185,401,537,275,207,024,822,526,776,221,928,
949,011,083,709,596,706,277,864,778,458,306,004,955,577,082,017,985,380,467,
801,819,900,161,151,301,904,927,112,881,279,338,696,469,777,043,478,400,766,
097,888,393,840,842,610,656,867,993,737,868,503,026,657,233,567,791,694,671,
734,073,479,225,293,802,621,165,200,742,998,153,469,402,272,392,555,952,565,
147,351,006,021,421,360,236,683,996,098,446,014,704,844,114,605,885,825,404,
734,253,875,067,008,250,118,925,852,308,424,989,959,072,457,729,637,973,329,
131,156,390,701,380,415,342,742,215,720,339,015,755,392,056,891,872,961,243,
830,839,463,769,121,313,350,395,725,584,808,626,350,299,369,313,645,551,043,
826,757,113,972,919,955,888,637,306,413,926,600,249,513,356,518,007,445,558,
564,161,545,500,013,882,993,591,881,521,969,174,903,253,807,728,160,134,878,
559,506,236,186,862,284,253,756,693,812,561,375,865,372,288,565,307,583,421,
767,478,540,974,685,387,809,674,099,942,966,673,721,147,218,424,791,808,108,
066,005,255,199,509,229,832,037,092,828,539,997,878,983,045,985,323,010,275,
282,689,524,540,331,282,335,258,139,811,211,963,529,196,680,484,714,936,710,
392,857,165,560,580,314,820,009,215,588,444,360,526,254,575,732,073,819,509,
964,575,644,913,715,946,653,359,242,947,247,197,011,957,846,681,418,589,685,
914,966,344,119,598,586,590,064,768,453,279,005,602,565,697,916,663,886,542,
024,844,718,492,072,654,167,365,162,606,340,901,328,053,617,829,287,782,443,
337,938,022,486,186,365,324,253,214,696,505,260,014,193,719,871,682,932,914,
708,087,620,676,189,440,271,186,976,899,632,643,732,742,212,052,273,621,857,
567,115,080,860,173,208,747,340,744,940,920,689,705,289,850,340,106,179,388,
876,428,993,792,951,104,690,050,577,184,249,558,069,978,956,402,149,953,010,
851,894,047,146,504,761,127,532,771,247,019,130,713,858,561,377,605,690,952,
770,223,128,028,636,348,346,144,385,193,651,584,450,876,009,370,569,427,635,
528,753,124,099,931,848,693,460,904,914,256,134,034,505,501,200,479,184,555,
643,680,214,136,288,040,085,125,930,756,295,931,450,472,905,177,799,161,966,
999,370,611,576,589,294,155,389,665,672,218,331,835,692,669,991,702,037,686,
217,399,846,888,921,107,833,010,728,755,754,302,567,784,711,156,573,670,182,
735,933,125,244,814,137,527,294,627,455,365,053,827,660,330,230,862,883,600,
973,908,264,224,938,693,836,988,040,220,941,369,543,700,659,679,471,927,903,
179,122,914,774,590,110,417,075,205,607,355,038,757,540,672,034,148,890,216,
985,472,431,708,846,309,471,562,455,518,081,797,280,575,143,821,391,179,807,
134,726,161,951,955,612,049,197,442,830,415,987,873,344,145,460,010,376,296,
096,076,632,456,679,438,867,435,375,800,663,564,094,499,848,110,437,249,067,
158,994,460,270,201,926,906,997,212,741,704,843,643,878,437,743,043,981,281,
476,273,083,862,351,774,553,664,725,548,099,013,386,027,301,678,848,762,695,
485,835,957,426,070,729,406,563,472,763,112,463,497,518,012,213,915,779,548,
180,819,917,860,892,655,989,648,217,692,035,026,192,334,816,154,941,605,835,
077,571,125,796,455,747,846,413,200,685,341,965,767,502,089,504,060,353,901,
987,078,728,461,542,340,871,190,286,108,480,622,817,549,550,669,817,014,189,
400,302,217,713,993,065,998,563,742,653,009,582,661,150,206,620,225,096,075,
637,824,651,652,576,602,087,715,676,998,654,382,153,330,331,416,715,513,144,
715,324,225,773,639,780,601,381,622,060,599,529,596,435,085,907,125,608,285,
397,389,328,476,666,251,302,966,735,357,014,848,192,643,066,692,993,758,166,
148,572,563,152,116,093,658,319,295,075,582,994,679,410,315,245,220,318,850,
620,862,363,869,350,138,407,021,926,267,821,136,371,018,306,910,147,448,608,
950,201,117,078,080,956,731,723,513,091,590,432,210,363,466,791,482,003,303,
572,687,290,238,842,113,618,131,696,459,349,859,934,106,110,346,886,766,496,
852,676,324,870,022,416,156,628,142,704,227,590,522,903,833,781,843,825,682,
014,937,582,004,712,340,778,224,764,417,854,421,364,478,581,576,790,934,388,
465,284,329,955,087,366,222,816,167,833,301,301,138,896,038,387,255,845,158,
343,242,490,978,092,384,478,919,514,224,498,333,407,329,285,335,577,550,854,
274,150,756,655,886,159,598,813,005,912,797,608,493,275,236,901,405,911,654,
736,932,706,934,520,740,044,879,830,714,003,769,557,176,768,375,398,393,068,
257,918,173,430,664,555,977,609,702,964,378,110,741,869,503,977,212,401,839,
122,715,619,694,718,341,281,515,184,442,563,062,850,025,778,726,156,462,710,
405,318,121,438,240,118,065,995,250,540,757,009,224,353,846,233,449,472,197,
628,957,131,038,114,626,093,977,244,802,370,953,120,919,283,910,134,692,310,
119,433,532,495,342,681,952,487,839,789,685,417,540,694,939,908,158,171,489,
241,855,713,512,313,880,244,097,395,894,306,091,813,148,209,733,937,632,156,
628,584,574,171,048,353,989,922,962,614,737,730,852,046,934,841,631,734,216,
098,142,059,814,692,556,033,265,343,228,489,424,684,247,024,803,143,175,037,
191,084,821,522,793,493,782,767,593,622,594,244,288,432,279,860,560,468,770,
974,986,385,808,927,089,662,663,396,626,052,110,853,270,329,204,347,419,343,
001,743,207,410,224,392,018,096,157,225,853,102,382,248,531,038,655,766,741,
852,676,146,660,636,730,352,333,690,629,103,520,284,531,302,218,704,251,702,
434,316,876,449,345,308,720,498,718,295,955,126,749,661,649,406,978,212,248,
774,664,602,197,892,289,797,893,794,538,988,095,005,407,196,179,778,217,345,
717,312,997,906,061,711,012,899,127,947,499,792,238,885,173,426,482,300,182,
896,732,196,941,735,687,278,807,278,623,376,772,478,084,790,761,157,791,759,
580,595,219,778,829,440,533,048,544,302,570,171,932,019,596,514,499,316,988,
957,137,273,425,999,314,497,160,167,778,183,579,429,491,930,711,574,244,588,
702,000,584,309,095,962,393,793,421,788,939,042,833,140,508,024,665,266,224,
226,816,042,730,701,980,709,210,009,204,440,465,732,350,502,543,439,395,894,
452,607,142,402,664,285,924,420,562,170,494,470,299,448,715,236,617,235,224,
094,949,833,295,775,162,175,464,963,623,970,460,910,655,449,520,187,607,278,
238,657,784,573,469,887,302,537,013,254,420,590,189,205,645,162,364,376,414,
723,693,039,661,920,938,200,041,986,247,769,080,937,955,025,494,665,475,006,
704,965,720,615,693,002,660,730,351,747,675,435,252,738,361,808,453,681,445,
456,848,735,998,054,680,340,608,819,878,206,009,449,371,129,723,099,873,557,
269,800,304,757,278,217,647,121,023,061,089,321,992,886,718,281,604,896,801,
518,053,931,576,077,197,963,840,482,308,385,721,839,975,411,846,015,414,948,
808,924,040,810,796,978,522,079,725,400,946,483,461,107,232,741,379,112,228,
232,524,312,632,619,447,131,328,607,326,198,882,557,316,325,389,922,111,653,
277,853,231,134,675,527,589,202,167,827,011,007,781,443,031,415,178,401,888,
767,093,693,445,257,858,671,057,045,458,816,569,422,219,140,423,463,515,372,
342,558,448,642,030,543,275,348,392,487,101,854,467,604,700,678,453,143,733,
393,343,664,110,905,200,574,648,022,505,834,671,534,909,423,731,053,697,913,
431,569,114,358,391,436,128,591,057,891,364,381,008,381,344,238,345,910,219,
440,924,195,019,056,507,637,058,289,725,417,941,799,575,488,489,067,650,304,
965,803,373,603,366,506,530,504,858,717,338,227,978,154,634,212,857,237,179,
077,083,173,516,360,100,492,114,139,521,786,767,687,482,748,144,810,811,528,
767,743,837,705,350,348,215,006,620,744,502,235,802,616,066,147,308,072,434,
416,933,055,420,491,261,875,021,472,453,546,004,722,780,375,690,170,441,107,
609,841,249,115,683,208,175,260,707,006,366,451,558,171,269,847,796,852,335,
870,132,436,980,449,807,597,382,911,448,029,716,449,546,913,825,866,156,563,
171,939,318,514,254,085,952,380,322,757,120,387,569,024,328,365,392,009,300,
667,157,043,737,742,480,073,516,539,735,616,722,905,314,129,996,268,893,244,
585,581,610,071,978,711,197,980,923,744,649,098,566,811,057,558,176,221,882,
417,228,546,073,789,747,740,985,293,840,966,350,176,648,557,984,658,065,211,
947,090,919,164,491,690,060,504,558,221,504,013,092,004,918,171,409,338,878,
411,281,951,703,496,842,787,445,335,837,283,394,490,713,423,564,896,546,132,
390,543,716,182,365,523,759,159,551,069,495,946,657,605,235,964,703,940,858,
896,205,562,684,469,087,562,744,693,722,111,643,977,023,506,471,162,528,029,
961,184,574,454,119,879,253,226,280,915,733,860,512,260,155,889,589,478,437,
254,343,786,828,457,798,508,110,887,397,234,996,323,010,576,816,816,932,134,
156,956,295,992,903,912,116,152,906,302,803,030,172,264,902,721,173,455,893,
816,821,386,863,184,012,680,324,011,769,902,910,845,730,828,993,338,406,175,
940,565,999,968,864,646,753,000,084,182,293,587,982,515,487,576,556,998,048,
739,699,710,956,179,567,363,854,375,492,682,955,867,979,055,713,623,818,011,
693,573,308,182,781,527,011,672,553,818,815,287,246,012,182,167,951,402,335,
357,304,692,411,515,650,929,135,959,497,797,956,783,271,002,506,008,378,025,
835,645,374,046,136,819,247,709,832,541,062,996,702,768,974,216,374,459,877,
468,211,901,782,901,113,233,025,217,918,909,196,346,995,337,620,655,309,217,
156,521,163,139,314,531,181,755,879,853,363,469,406,783,247,630,552,474,388,
673,439,899,667,474,972,428,591,883,947,109,264,211,358,781,191,309,310,088,
443,138,680,730,722,662,736,797,742,705,723,902,722,054,123,928,915,150,072,
933,204,686,123,374,754,629,509,337,471,090,306,885,201,993,182,849,968,421,
221,760,783,926,630,094,785,263,144,647,620,313,768,279,358,462,995,630,622,
284,255,726,265,367,542,827,452,825,581,748,309,881,438,289,381,912,911,103,
051,361,413,581,167,892,274,653,889,968,082,483,540,251,671,333,652,263,342,
136,332,435,441,092,449,170,541,925,058,153,960,480,961,977,847,627,444,960,
224,080,242,920,873,281,919,451,194,978,722,261,840,956,677,634,925,845,363,
909,840,960,896,871,917,671,156,651,752,619,421,239,655,375,064,772,223,722,
394,654,565,210,334,629,776,085,508,299,107,784,239,102,819,924,895,036,327,
475,300,004,574,476,225,254,485,966,576,334,942,838,830,449,420,536,549,459,
877,268,760,591,733,597,614,829,035,038,565,098,010,974,178,049,786,990,212,
101,235,196,550,000,126,054,727,637,923,883,652,610,071,079,481,076,415,574,
393,549,347,246,194,391,464,264,191,025,104,801,121,941,169,989,703,148,546,
774,715,833,375,168,464,657,758,035,849,255,198,898,349,033,771,107,183,801,
177,039,542,274,890,181,633,637,806,446,375,710,998,421,550,791,079,738,210,
858,702,251,454,513,690,017,724,635,587,570,939,653,431,215,641,087,164,203,
888,938,703,715,958,027,460,298,088,357,979,465,144,104,801,761,530,008,291,
557,877,041,516,799,595,664,829,764,946,860,067,526,205,443,749,149,851,025,
122,442,543,529,454,254,709,964,629,145,666,991,345,935,883,883,919,887,371,
265,057,806,209,386,540,598,888,539,507,443,638,632,754,994,128,652,015,186,
856,904,720,887,825,054,739,882,066,481,774,509,790,427,641,119,827,791,415,
395,821,017,501,098,745,434,075,029,244,015,729,217,760,522,029,657,241,889,
269,744,333,250,710,327,025,178,687,766,309,496,978,360,963,586,826,520,121,
987,731,149,092,200,819,195,884,737,094,727,095,741,164,096,203,172,551,467,
587,836,579,333,251,103,744,522,709,118,431,427,753,893,908,384,206,718,251,
307,514,126,070,758,796,841,721,513,435,351,986,291,562,551,064,724,988,789,
818,887,703,627,549,014,557,932,514,794,546,220,805,009,668,984,171,603,872,
713,632,993,839,393,753,321,921,879,382,796,320,503,106,843,011,568,495,696,
303,319,938,904,053,710,468,093,252,443,152,885,455,396,330,193,656,257,349,
461,915,710,367,478,540,334,000,863,679,253,449,490,984,347,617,366,650,597,
542,326,057,712,174,785,879,515,107,540,629,272,854,254,146,208,136,306,546,
444,790,488,748,300,999,559,852,761,232,377,270,433,212,009,369,246,476,201,
558,807,315,686,838,521,405,771,821,316,342,019,658,331,986,999,088,182,794,
566,437,426,153,810,536,370,063,750,856,072,525,635,873,377,771,322,575,961,
187,963,129,198,549,379,365,526,007,885,614,369,418,926,884,163,838,264,561,
120,826,365,940,562,988,944,142,185,260,947,282,849,906,211,520,672,187,667,
344,771,727,769,347,482,747,491,545,003,638,251,664,231,186,273,964,259,046,
460,641,787,631,042,470,392,642,086,346,971,669,170,429,690,875,525,610,246,
879,519,210,066,861,094,190,054,438,738,142,407,411,280,971,001,582,577,361,
554,855,454,635,324,291,190,490,618,989,019,054,021,520,511,782,833,231,438,
568,777,377,662,966,391,540,712,125,387,902,478,407,719,101,373,041,566,919,
659,488,652,434,771,900,488,085,213,928,141,256,730,779,311,291,361,381,907,
399,935,489,959,148,784,750,078,323,714,404,566,392,097,435,380,928,307,100,
663,290,008,691,971,722,922,965,999,528,290,629,827,090,143,658,476,497,499,
412,067,046,705,238,465,533,764,671,852,337,392,685,296,376,055,461,575,992,
881,462,112,160,651,640,199,581,787,838,954,131,212,079,518,336,045,933,117,
533,523,438,743,419,573,014,024,105,315,950,943,000,734,589,024,748,811,881,
794,398,144,256,051,543,364,234,495,215,812,027,152,784,321,967,334,899,124,
845,059,984,965,117,922,172,516,458,286,433,269,091,747,489,122,825,597,107,
833,817,854,013,910,085,923,871,396,266,584,639,334,294,616,053,560,305,912,
031,337,525,174,237,208,168,637,203,817,157,732,934,196,650,084,976,895,334,
536,406,943,036,570,075,362,912,016,189,784,132,863,461,715,473,971,863,592,
724,305,852,309,122,695,310,993,162,938,026,867,701,319,033,973,904,060,901,
350,027,688,881,808,447,499,588,609,114,234,848,889,518,840,560,816,247,362,
034,422,336,252,582,208,089,615,215,634,386,495,893,696,362,868,455,574,792,
694,709,806,013,681,334,451,605,523,176,957,072,272,145,272,509,293,626,835,
556,371,706,426,885,437,640,785,707,616,209,375,962,954,052,918,258,158,049,
616,779,407,586,897,438,353,698,550,831,709,459,082,207,454,541,413,348,185,
434,969,870,117,999,112,199,734,893,826,950,001,289,138,302,316,366,535,926,
957,629,247,982,571,649,569,142,124,527,331,385,313,875,852,352,831,857,776,
637,841,289,323,227,618,021,104,027,600,188,355,943,762,903,524,947,975,418,
035,550,714,010,762,281,286,648,883,087,030,296,749,357,635,335,681,404,722,
940,137,329,984,259,512,722,755,665,348,274,403,141,892,094,235,349,348,337,
084,194,140,782,792,874,716,425,384,756,751,321,891,314,959,308,712,540,883,
970,449,142,365,648,404,785,308,686,967,825,279,141,923,097,796,402,794,466,
344,044,585,932,168,830,653,392,900,095,227,055,094,831,598,104,355,343,815,
053,648,643,551,915,342,649,885,799,989,251,169,335,323,749,876,288,278,713,
932,078,329,854,490,228,106,300,789,902,235,638,024,403,610,395,851,139,783,
248,447,173,907,482,128,863,244,054,668,573,406,939,406,205,286,336,300,817,
235,684,349,576,507,441,521,728,024,979,648,119,858,129,105,484,581,448,441,
365,913,259,794,708,138,303,523,186,826,148,486,279,674,192,025,652,922,395,
277,585,539,960,023,063,778,859,871,686,163,324,418,836,013,438,302,051,141,
125,306,890,314,423,487,223,397,763,252,347,213,936,965,154,084,338,889,024,
931,308,954,498,932,933,327,292,657,386,055,680,631,019,595,975,600,642,856,
874,740,390,197,032,216,204,397,907,275,513,940,183,421,126,226,087,668,405,
066,944,207,334,416,811,746,647,893,984,194,594,602,733,382,637,342,251,602,
352,123,513,273,987,021,106,215,407,721,060,095,277,861,023,708,730,313,599,
755,939,740,946,604,213,954,148,245,577,848,406,746,409,822,827,457,022,673,
731,758,484,795,324,661,029,218,090,052,606,078,280,893,129,582,918,839,313,
512,964,222,875,938,298,010,649,601,548,773,890,879,073,005,820,646,667,495,
748,975,144,265,554,478,725,882,963,149,693,282,633,047,373,539,187,042,534,
080,422,551,553,285,252,698,388,469,508,790,076,705,811,118,612,987,278,713,
686,214,649,210,335,116,594,383,449,264,161,853,979,106,510,404,495,805,835,
786,656,936,033,298,749,814,922,975,242,997,137,632,906,006,757,464,491,186,
874,549,062,410,054,070,083,313,490,834,564,386,926,979,055,691,773,145,059,
322,515,048,804,229,732,067,025,332,820,021,236,155,247,465,874,671,571,961,
915,361,505,105,903,699,227,004,680,749,286,605,681,934,095,230,189,644,925,
582,207,361,459,036,600,950,439,737,655,930,260,492,139,229,655,196,034,853,
234,437,310,233,067,986,775,398,592,517,852,656,704,843,861,218,528,504,914,
787,893,694,305,627,163,819,068,467,358,117,958,651,908,407,281,515,642,074,
347,474,063,842,092,473,683,705,500,169,257,409,541,037,821,767,538,885,467,
112,590,812,050,956,467,804,903,022,513,255,991,682,364,784,390,264,066,763,
023,089,933,103,737,324,999,370,477,961,129,300,993,884,637,130,937,313,808,
662,602,562,685,105,911,373,394,848,346,889,711,006,111,146,053,768,419,984,
760,620,232,448,050,828,753,080,627,079,069,457,612,039,072,491,320,351,522,
103,882,891,425,446,444,847,471,505,586,753,132,927,802,376,692,437,627,012,
151,149,714,261,332,478,823,772,131,673,284,094,497,122,979,285,769,365,137,
148,553,122,128,652,192,979,951,180,727,951,280,046,618,784,363,025,600,330,
913,908,135,450,864,500,843,295,216,097,785,128,197,240,637,815,672,393,514,
316,611,350,529,580,283,354,053,295,076,805,951,857,119,688,695,920,605,476,
456,495,955,932,548,799,245,564,286,650,037,087,397,734,285,585,773,172,715,
700,716,375,508,711,528,586,195,483,028,258,649,755,418,197,883,234,903,963,
945,085,596,859,421,994,893,088,051,258,815,396,148,329,489,314,588,922,379,
620,774,334,098,343,195,338,990,344,973,901,549,818,994,137,850,115,972,696,
811,648,088,677,866,616,785,083,040,197,478,185,616,409,239,129,279,544,331,
476,345,827,204,574,759,965,867,961,919,328,060,789,052,032,081,221,832,757,
207,602,392,920,004,130,952,496,086,660,559,707,553,830,157,011,704,089,037,
971,236,470,542,129,311,289,160,524,475,872,132,520,144,061,863,349,588,634,
264,848,942,119,486,787,657,889,766,008,351,015,981,167,733,846,428,855,122,
508,138,554,290,681,718,007,222,504,054,088,201,916,248,073,111,096,399,113,
288,480,737,774,636,807,164,236,240,619,045,849,138,240,200,568,685,176,012,
046,601,855,083,462,524,663,763,297,294,323,829,712,583,481,434,435,877,575,
703,895,256,479,958,140,815,914,031,726,768,422,517,412,918,341,976,829,446,
371,939,846,720,050,660,354,435,292,649,456,457,108,978,294,543,433,889,513,
037,872,220,275,370,258,060,311,719,058,030,415,566,413,466,090,745,587,113,
346,020,127,584,217,994,666,366,569,117,335,370,761,809,429,369,382,940,794,
604,280,532,528,371,115,937,913,148,584,463,177,759,717,480,469,082,657,033,
009,865,675,527,440,827,471,178,701,918,565,584,169,812,344,103,630,394,095,
543,790,503,903,124,797,166,500,276,030,731,894,168,582,879,545,382,657,495,
291,307,705,202,439,643,884,006,097,196,866,305,793,282,461,185,917,080,333,
282,751,401,671,184,756,427,394,392,887,810,076,784,996,426,847,193,999,260,
915,636,833,751,537,421,151,541,774,774,770,850,668,975,829,243,586,220,711,
075,444,106,212,446,266,159,923,815,640,074,170,841,652,021,700,487,306,457,
666,402,582,381,527,997,614,016,333,706,232,112,473,155,663,408,856,428,646,
850,125,720,890,895,548,995,237,407,143,686,232,090,203,617,763,106,457,921,
887,636,560,058,453,369,548,062,898,205,435,084,236,529,430,239,593,592,385,
327,312,461,430,261,573,740,225,337,796,698,082,222,930,985,382,615,115,787,
175,518,818,938,960,771,398,758,119,697,698,995,914,957,663,510,263,746,733,
321,337,036,391,188,527,259,499,096,229,844,488,232,951,907,881,359,318,302,
921,546,518,713,979,986,065,161,716,485,386,641,660,278,881,495,026,629,886,
007,912,201,450,549,084,033,987,817,977,425,470,965,484,934,398,740,230,456,
943,455,149,073,201,783,940,431,284,735,747,193,706,323,333,415,546,375,880,
389,827,675,666,938,180,993,325,888,626,123,118,829,812,852,309,568,857,421,
731,372,438,863,077,111,600,779,721,875,789,774,019,195,552,418,437,768,885,
239,192,255,888,908,548,658,589,032,531,852,176,229,768,077,796,335,216,972,
159,293,410,166,907,768,142,592,659,258,520,197,045,201,685,935,537,769,935,
145,451,355,256,933,985,550,289,055,209,731,796,636,449,375,284,991,906,526,
822,270,406,265,546,051,968,461,256,808,262,260,785,039,007,259,862,730,839,
812,897,758,863,260,906,814,231,029,075,094,440,630,710,505,596,366,312,451,
198,848,108,822,702,323,390,840,794,497,886,494,570,346,613,091,571,274,607,
520,259,866,180,061,438,567,080,684,443,056,104,147,081,618,278,130,662,622,
262,220,021,563,646,279,845,585,674,507,722,597,495,723,967,990,431,848,625,
557,888,070,096,546,851,717,406,088,798,855,707,609,712,938,457,253,021,052,
190,493,650,377,055,079,367,169,032,506,669,587,756,006,371,999,473,747,419,
922,970,158,431,447,201,027,861,416,518,740,302,323,434,494,014,269,993,501,
316,118,307,905,737,373,613,409,356,600,687,236,080,235,854,308,112,925,934,
740,805,694,178,628,422,777,274,693,036,256,212,436,745,624,466,769,577,285,
794,870,635,179,298,603,901,801,363,779,148,243,999,087,189,422,517,092,104,
555,468,592,607,204,189,092,813,877,153,128,610,268,418,859,201,503,170,678,
398,699,529,467,177,157,623,273,725,191,087,670,068,551,654,865,327,605,347,
297,650,824,839,992,264,912,099,138,831,974,161,190,154,448,113,046,615,446,
128,863,543,599,591,166,739,644,076,105,088,807,396,704,456,524,282,126,395,
730,217,097,455,649,741,000,474,783,641,336,011,820,741,659,006,092,241,929,
152,293,882,981,515,117,212,675,628,388,824,926,521,195,398,473,439,016,242,
045,896,595,819,927,311,390,765,457,598,974,434,017,106,991,168,022,916,222,
708,731,141,552,206,439,453,228,323,395,958,219,994,043,828,897,751,077,865,
043,581,946,505,961,354,271,887,740,508,452,649,997,834,590,615,013,520,152,
225,649,781,744,989,910,653,571,971,865,077,660,429,175,501,843,648,472,431,
599,226,929,357,654,374,335,387,048,933,238,472,179,266,893,231,282,606,337,
699,931,071,644,792,044,109,880,467,356,651,023,366,632,860,464,032,202,335,
492,987,047,590,076,378,242,325,370,349,485,679,930,985,521,476,711,191,840,
099,619,641,159,533,462,111,301,343,295,704,312,398,466,062,254,755,537,523,
532,893,839,106,684,878,902,826,376,117,813,757,341,803,868,519,436,755,803,
314,912,196,491,064,581,117,723,464,371,323,051,193,203,271,336,346,455,767,
414,281,074,213,899,576,793,149,387,004,145,644,326,823,547,114,354,263,256,
814,574,884,992,649,238,600,068,409,373,724,132,068,777,628,090,194,481,250,
006,844,408,713,297,903,120,178,850,898,160,448,491,990,015,025,923,006,007,
114,849,465,350,456,737,436,931,245,110,896,788,826,826,268,002,152,082,771,
760,899,983,487,730,697,408,592,442,941,423,455,370,176,693,238,844,869,216,
516,007,014,117,951,440,528,443,837,463,254,517,580,480,331,171,698,258,831,
658,508,940,243,592,072,566,993,750,202,177,204,597,642,959,838,381,534,411,
458,364,127,836,920,628,625,798,520,711,035,232,055,476,509,783,379,978,357,
735,288,544,132,658,691,283,918,435,852,872,331,240,365,377,839,857,315,411,
051,156,550,143,748,596,337,459,719,761,941,436,607,174,386,874,508,069,091,
707,168,342,665,340,736,954,167,948,722,540,022,968,691,166,979,120,270,582,
581,278,156,073,883,084,508,769,007,498,446,549,327,497,762,958,708,324,172,
011,314,851,125,808,959,229,476,419,010,491,953,996,962,942,931,562,008,486,
653,423,757,288,785,880,599,710,643,740,926,673,229,881,242,462,800,938,124,
796,430,738,410,541,521,365,967,645,701,428,064,999,723,386,441,092,409,613,
958,936,173,836,805,768,552,033,625,585,344,332,139,465,200,918,289,480,346,
012,277,192,487,738,237,391,991,260,457,969,140,650,933,597,607,836,831,279,
928,186,333,868,783,719,994,296,656,897,377,035,607,254,251,819,851,624,086,
761,216,232,361,012,649,598,897,193,993,356,591,756,649,085,655,106,383,412,
599,955,275,606,963,996,031,344,163,483,434,506,685,373,460,183,526,795,447,
465,089,515,590,304,261,551,474,709,051,226,772,010,238,743,536,020,955,768,
863,451,606,717,110,106,882,093,848,193,310,137,806,199,520,633,089,452,006,
600,089,908,755,812,165,389,687,600,398,506,473,886,892,345,940,599,763,920,
423,535,795,510,082,311,230,185,941,398,016,304,460,113,701,328,988,588,980,
430,890,183,917,279,305,263,491,748,750,589,120,381,026,277,354,315,021,063,
905,805,566,478,581,540,693,139,278,865,003,260,579,430,031,143,197,440,804,
039,001,628,952,562,530,812,172,801,580,800,069,938,858,319,963,259,604,926,
913,338,460,911,273,439,721,220,724,911,369,014,037,483,944,687,548,075,443,
410,923,107,407,655,969,364,957,225,288,402,520,998,638,994,393,340,435,521,
529,685,024,659,523,880,460,890,562,937,029,775,206,890,126,596,273,038,899,
006,895,772,306,619,788,618,826,752,485,478,439,970,699,586,492,157,830,502,
488,724,805,589,577,988,574,218,436,033,545,245,134,493,164,941,074,516,633,
945,630,427,082,276,807,560,996,702,827,165,701,185,676,228,304,763,280,729,
564,659,737,264,365,774,240,845,129,879,037,562,639,660,603,912,674,757,872,
236,044,097,892,168,813,037,369,085,473,939,545,834,599,003,947,980,088,542,
366,276,002,541,186,838,239,901,285,137,667,498,507,701,502,788,641,631,689,
582,251,722,504,710,130,068,197,517,222,140,525,488,961,672,082,592,365,329,
413,909,062,782,074,329,846,234,903,927,091,967,472,937,013,550,813,754,450,
582,875,408,647,881,990,362,504,030,115,620,287,098,041,940,386,926,716,762,
415,337,254,530,711,207,924,110,052,019,785,430,849,927,522,355,235,843,664,
955,491,735,324,638,889,442,536,139,855,629,276,669,187,777,755,572,304,212,
056,018,508,572,510,221,159,997,163,541,736,867,495,319,057,054,686,230,519,
740,278,616,692,742,517,386,077,395,263,522,603,447,528,366,702,308,476,687,
772,365,654,177,583,151,578,750,799,150,617,105,767,429,243,738,813,152,049,
113,450,669,066,008,818,870,460,052,980,477,726,772,258,549,724,594,584,585,
515,630,919,625,958,627,287,945,726,062,512,818,688,618,292,586,705,217,555,
421,582,717,215,640,677,127,988,294,848,356,747,821,395,314,739,127,455,425,
390,472,829,125,480,626,644,999,429,598,548,881,061,492,737,172,247,877,521,
958,879,446,977,654,981,679,112,570,636,198,255,333,017,340,711,232,592,783,
307,704,103,727,709,328,769,040,503,509,887,863,774,539,185,581,069,709,665,
800,865,782,707,844,484,362,232,350,474,957,230,625,855,678,840,013,226,170,
070,387,632,207,755,294,555,991,764,914,547,848,240,598,286,151,673,771,624,
493,568,381,828,077,574,533,665,905,108,730,908,665,844,084,913,217,766,595,
750,345,079,125,514,624,817,657,887,241,582,607,732,776,072,835,677,762,827,
100,804,562,946,367,041,278,738,809,855,602,398,871,986,176,843,114,907,663,
877,334,536,333,483,864,462,929,403,172,059,661,785,230,055,700,985,444,503,
084,731,804,001,953,095,310,773,122,568,057,482,914,581,562,816,260,417,508,
862,425,990,830,222,761,484,777,902,753,210,432,943,381,992,535,963,011,262,
849,428,029,459,445,525,429,516,356,073,078,610,602,805,211,101,274,010,901,
342,451,488,733,305,419,171,286,695,032,314,060,231,133,524,100,235,607,580,
099,930,747,288,033,652,639,180,266,051,508,535,614,381,902,747,850,238,755,
614,083,531,170,239,245,278,547,414,455,729,776,446,635,283,375,864,796,995,
236,616,826,129,246,832,249,488,227,762,752,602,647,847,205,800,924,781,016,
529,816,407,616,089,578,639,731,132,611,801,620,681,745,699,355,596,156,026,
188,592,160,351,817,521,952,260,102,464,782,944,564,486,387,937,789,608,338,
904,398,917,883,904,571,483,643,397,257,382,645,789,355,534,840,301,224,498,
006,364,102,539,849,266,490,331,540,496,172,699,385,958,655,149,625,609,346,
314,772,297,883,252,312,349,719,907,432,292,986,116,902,325,001,372,298,074,
585,511,293,168,071,952,713,966,961,274,715,671,904,179,552,593,899,002,834,
611,045,829,199,969,453,557,748,423,614,564,863,817,472,020,493,834,872,908,
956,902,110,159,101,057,847,893,242,479,349,119,303,066,001,188,590,870,231,
489,075,622,342,583,269,267,345,595,341,256,102,487,152,499,837,026,881,256,
422,098,567,366,115,958,320,017,841,908,314,116,387,752,363,847,668,614,702,
241,016,177,838,947,693,370,559,651,114,426,411,467,266,765,056,920,796,753,
169,458,029,259,378,332,542,772,238,193,162,417,888,772,022,605,468,116,175,
540,229,293,185,190,747,090,503,184,289,013,561,578,538,064,868,819,768,238,
455,764,424,162,386,677,491,982,808,841,084,258,297,449,807,802,864,517,733,
928,500,483,994,049,075,562,228,858,254,462,775,544,449,617,293,056,414,755,
044,150,841,438,280,257,846,085,529,617,408,964,377,931,084,180,886,431,704,
725,787,454,303,985,493,063,316,247,832,745,423,085,162,486,778,998,887,754,
177,175,800,114,566,308,547,638,187,555,858,727,137,682,947,638,638,559,038,
265,939,422,382,928,872,747,235,795,927,292,412,745,913,355,358,508,682,623,
977,914,627,208,094,199,554,817,346,645,522,634,091,650,557,201,680,823,500,
511,002,205,134,190,030,841,051,499,996,917,628,638,531,318,287,122,500,893,
481,580,376,743,451,474,562,441,828,450,629,638,377,631,270,672,696,690,395,
293,222,651,065,011,244,279,164,987,112,876,795,503,500,294,797,607,044,417,
366,826,627,586,015,201,724,229,067,362,947,011,574,802,655,815,573,347,219,
841,300,728,215,486,748,800,551,030,469,599,004,742,321,870,829,680,015,957,
384,119,450,413,420,738,089,130,937,502,984,887,878,200,648,398,707,353,332,
129,373,969,548,827,736,086,964,599,177,316,537,824,381,146,115,303,220,085,
720,787,517,514,048,981,435,751,734,524,037,873,133,030,524,065,415,454,591,
837,305,104,795,073,267,607,251,714,561,229,269,371,233,953,125,449,904,737,
603,486,205,564,776,262,448,755,500,113,786,446,675,402,478,792,540,301,881,
193,288,590,195,672,011,201,826,782,930,201,054,083,824,278,822,033,470,511,
811,355,207,313,501,764,410,747,438,851,905,807,186,018,883,351,515,282,939,
439,100,639,887,956,302,642,656,976,695,114,748,495,599,652,230,940,163,815,
244,227,633,413,322,964,579,170,466,885,841,087,237,766,882,610,366,322,073,
953,971,145,958,438,438,661,810,047,096,268,246,851,522,918,953,941,241,276,
170,047,306,230,057,176,926,068,260,403,092,391,561,168,755,075,277,143,120,
526,961,890,421,795,617,689,072,189,362,433,559,425,105,124,191,327,102,931,
588,791,620,921,678,707,347,089,011,022,498,064,621,785,554,948,229,273,071,
588,643,825,666,931,923,491,521,160,611,298,869,179,682,346,902,848,165,168,
979,416,926,361,162,438,117,512,936,169,769,850,377,918,664,339,137,569,987,
947,744,035,847,573,823,103,645,353,506,488,214,109,022,448,679,258,642,362,
284,065,376,304,024,304,549,677,522,145,621,483,103,190,983,942,387,008,520,
897,746,318,726,594,726,184,631,211,283,034,750,648,403,992,243,977,531,242,
756,486,307,864,711,393,114,751,294,144,022,534,528,947,008,953,118,433,927,
215,491,783,774,234,045,417,218,560,607,304,048,599,373,494,629,090,113,192,
731,492,429,976,258,224,177,615,537,130,723,911,858,219,154,522,568,211,616,
446,924,498,553,507,224,188,817,409,969,542,089,473,387,018,694,748,029,602,
383,195,255,944,447,384,814,366,575,234,301,673,172,319,637,193,853,628,063,
615,723,443,757,510,519,540,908,557,798,541,563,090,173,035,508,374,572,735,
818,753,474,427,927,746,698,475,161,915,370,943,707,987,535,521,157,169,634,
454,464,124,244,810,390,654,244,617,010,100,306,660,942,495,460,670,994,333,
422,315,237,664,626,463,185,028,347,205,888,117,256,790,025,714,672,496,252,
325,876,501,064,116,623,872,334,457,112,549,873,979,242,342,966,222,673,345,
343,466,534,133,074,852,753,151,207,665,267,061,308,365,066,669,443,636,179,
503,543,576,537,219,297,655,004,489,872,063,132,608,797,381,663,189,481,019,
489,559,915,046,709,447,372,281,038,715,350,389,131,258,882,367,278,433,787,
438,328,189,011,875,989,713,529,096,409,571,748,401,298,264,092,356,985,999,
803,279,724,200,620,261,729,133,145,590,063,109,404,108,183,793,860,221,457,
905,975,440,414,136,799,501,199,661,594,971,339,202,921,308,303,368,520,251,
685,752,459,466,772,115,587,404,698,649,087,888,486,608,577,212,117,320,847,
661,139,287,906,895,338,156,251,586,920,868,931,722,687,720,892,332,512,500,
512,137,818,808,803,072,748,191,254,039,725,458,427,562,087,625,476,305,578,
870,376,971,512,425,915,477,405,475,203,239,149,484,318,343,640,113,861,355,
244,919,579,048,299,422,771,490,326,169,443,786,399,209,385,964,039,201,723,
252,038,823,154,948,337,733,872,709,859,289,645,655,462,570,173,715,373,927,
040,526,146,993,617,362,005,037,137,273,828,930,781,026,906,412,117,738,567,
448,373,075,038,846,177,329,150,726,678,196,454,451,211,452,043,007,810,380,
622,234,690,080,438,625,020,144,606,040,184,376,303,437,228,573,295,564,744,
844,753,442,500,285,148,569,472,570,864,545,239,937,929,866,248,188,434,459,
718,312,974,525,016,851,357,165,292,743,464,935,092,219,673,693,651,031,090,
394,986,931,690,088,497,061,385,496,208,890,654,873,303,907,601,181,687,025,
908,892,448,688,877,710,385,760,277,557,569,995,459,433,086,367,743,160,746,
779,787,884,685,689,242,206,116,739,593,614,957,274,202,987,147,976,932,526,
832,444,822,221,513,827,036,516,713,062,524,802,942,977,571,838,205,829,677,
090,413,736,535,926,494,251,302,829,203,761,448,032,045,303,795,868,139,246,
976,994,670,911,122,395,807,594,865,365,111,849,018,777,695,448,739,712,258,
225,893,537,384,621,527,987,691,584,145,673,874,486,991,653,994,413,998,065,
251,008,544,000,326,647,888,072,844,569,376,659,574,532,613,609,434,036,017,
424,967,762,155,127,318,478,183,383,956,990,382,850,712,112,112,222,002,804,
608,902,040,765,900,153,474,303,736,068,722,653,225,366,665,708,556,104,117,
464,998,076,271,641,460,579,825,623,579,127,535,382,370,126,352,149,380,519,
506,099,256,750,963,005,860,939,623,319,061,661,049,620,744,264,280,809,261,
971,617,404,097,352,813,665,146,356,104,687,644,340,663,772,351,426,255,832,
079,048,632,093,541,079,692,737,851,662,089,889,648,390,563,643,247,964,402,
740,158,984,868,955,204,508,378,219,820,462,816,612,027,652,660,406,308,446,
514,264,135,366,039,237,188,081,869,583,304,464,122,977,793,094,620,349,726,
150,210,922,259,420,947,981,829,768,030,697,681,285,290,960,113,215,721,909,
042,712,357,325,352,326,813,397,044,752,944,328,909,721,421,479,616,200,658,
791,944,569,483,820,730,917,381,440,401,717,664,238,746,146,757,414,198,155,
843,195,463,956,542,330,969,599,363,594,473,004,063,090,856,789,941,849,205,
096,101,248,802,624,955,826,827,931,319,892,362,879,466,300,708,502,949,875,
204,421,452,886,016,718,258,905,106,318,059,756,483,615,909,684,998,322,078,
473,324,501,981,608,777,598,975,784,039,551,699,940,501,035,368,901,619,241,
334,641,674,831,051,576,252,536,915,466,676,523,864,503,592,441,653,725,574,
293,990,042,153,226,262,318,022,159,498,441,425,525,783,730,514,869,742,872,
712,252,565,168,371,035,618,793,479,617,828,214,203,528,826,150,073,963,755,
361,985,973,236,531,352,052,082,534,229,678,184,273,175,281,339,571,522,534,
307,795,342,255,163,944,270,166,505,879,440,231,680,236,269,875,856,998,896,
647,752,217,822,020,512,676,093,770,286,961,949,333,540,645,560,362,817,856,
028,940,765,493,399,924,366,902,602,842,898,971,553,273,527,218,978,091,559,
536,543,736,147,972,799,477,476,445,074,239,731,281,835,945,580,471,983,536,
271,231,952,505,699,815,494,231,332,432,177,629,399,022,083,715,833,152,970,
141,536,915,858,861,981,136,296,580,872,009,092,841,005,695,868,956,181,604,
821,529,460,542,018,690,250,576,889,789,003,389,533,315,091,389,407,219,473,
652,891,727,394,852,865,159,669,089,497,178,377,471,400,890,631,876,173,710,
718,306,891,592,069,375,989,122,899,306,059,919,688,371,248,638,142,640,770,
424,676,378,677,574,787,778,671,614,190,371,838,072,269,546,818,279,265,171,
139,019,558,296,793,593,055,620,716,160,989,803,445,649,924,345,052,648,274,
561,798,237,222,628,848,942,474,500,040,315,524,374,973,109,692,614,941,426,
611,496,630,804,267,032,609,747,033,742,667,237,542,908,196,895,126,829,061,
360,964,497,110,628,648,107,546,634,973,968,993,083,263,567,400,429,559,516,
685,115,905,422,555,109,789,925,068,312,302,548,955,423,448,493,791,674,356,
723,571,370,969,353,812,150,998,145,109,163,738,557,313,645,258,390,166,921,
237,947,734,178,642,957,298,634,459,648,984,385,874,355,905,630,662,134,094,
648,041,375,502,693,022,502,696,449,460,019,083,667,676,085,070,320,568,717,
561,331,412,302,981,122,591,346,060,762,936,357,285,449,603,094,771,990,234,
782,992,497,701,069,375,964,126,790,724,733,396,608,031,514,822,907,750,226,
246,805,894,573,590,118,740,297,552,707,463,663,815,363,407,554,462,499,664,
660,591,731,034,255,362,769,645,676,194,696,466,788,397,529,464,096,909,677,
610,081,234,918,556,436,604,191,441,836,405,845,509,008,026,992,307,844,969,
587,326,817,001,696,058,090,357,604,271,086,413,918,025,657,161,407,125,152,
839,090,805,396,448,362,880,587,728,013,612,733,676,708,788,696,231,234,464,
851,938,941,059,488,269,268,483,863,500,144,837,620,715,034,027,330,120,683,
675,442,091,436,402,356,207,303,232,630,507,320,584,615,629,759,644,844,525,
091,604,477,667,508,249,141,259,647,740,782,369,535,493,175,259,945,147,948,
976,097,351,151,600,614,391,615,677,036,129,354,277,707,047,486,736,747,413,
868,479,728,888,232,382,572,986,582,234,035,426,197,799,530,205,821,296,607,
570,388,835,820,582,261,495,614,921,950,246,597,205,575,860,563,964,585,818,
554,670,878,768,990,239,688,078,505,197,858,847,244,471,414,864,378,631,733,
446,331,974,815,994,137,245,971,005,073,247,040,620,738,241,727,833,922,093,
018,884,121,398,378,137,160,536,632,066,927,743,692,259,223,431,987,438,001,
531,698,007,530,965,448,049,340,380,848,773,384,150,246,333,602,507,480,956,
870,998,655,182,540,889,284,304,056,047,640,884,351,135,737,123,888,659,267,
904,806,868,968,217,475,644,786,739,009,155,941,565,047,515,811,083,087,302,
408,882,832,220,511,809,247,671,710,609,529,074,592,943,626,660,959,544,424,
870,716,534,863,696,886,724,185,226,871,400,726,883,179,154,353,686,370,482,
609,272,799,194,215,479,005,603,111,576,305,210,037,629,219,289,586,651,975,
800,656,033,220,145,957,087,553,049,464,673,243,908,731,339,066,381,582,874,
070,854,485,757,259,544,942,441,326,042,220,801,542,469,318,051,707,801,669,
477,291,178,202,398,844,148,097,642,416,300,841,339,259,118,323,027,728,286,
328,377,456,912,600,247,395,449,599,953,328,142,188,957,941,918,560,712,194,
288,275,549,045,274,934,416,984,314,947,484,692,630,049,547,031,539,841,758,
599,281,801,767,165,159,816,592,210,358,894,941,868,769,813,404,032,632,636,
403,269,288,331,318,917,612,814,086,334,338,023,257,670,115,136,351,869,399,
343,629,036,032,496,987,348,091,626,605,981,913,670,659,489,108,795,100,482,
250,868,598,449,872,843,396,161,943,726,407,654,633,470,409,537,083,229,342,
872,017,505,985,105,362,050,353,042,799,978,510,962,528,445,331,908,118,823,
811,170,744,044,512,429,923,676,287,843,275,780,778,888,945,640,769,916,878,
332,639,212,643,496,064,759,935,194,402,382,791,823,324,303,564,013,436,926,
881,691,651,194,381,554,608,978,727,455,117,232,006,411,647,602,404,735,047,
539,953,111,808,575,957,952,327,513,391,979,371,036,223,004,877,637,767,424,
517,747,297,481,946,198,565,747,844,421,885,577,964,683,743,808,052,380,029,
731,884,288,088,458,727,111,891,915,269,057,069,219,794,748,386,537,025,563,
970,643,147,081,890,932,416,050,699,272,167,494,063,581,010,588,842,302,591,
699,215,671,346,714,806,501,759,479,988,935,067,909,196,269,657,993,595,339,
941,755,815,511,582,789,535,708,058,732,903,122,818,318,109,210,438,263,135,
869,360,238,016,268,292,070,957,481,436,856,031,513,863,051,817,000,710,324,
747,390,969,632,707,611,128,853,880,295,691,793,394,833,477,899,220,526,137,
570,778,673,053,253,566,847,531,459,799,832,199,947,143,257,034,034,413,146,
956,795,512,897,910,772,041,881,682,894,054,847,021,527,094,532,951,205,017,
737,051,162,770,761,226,475,240,975,041,208,831,727,617,191,626,694,887,924,
571,365,693,520,495,861,471,599,952,771,324,536,219,462,353,708,242,847,092,
095,579,966,696,364,748,618,366,021,175,827,479,322,119,118,551,671,742,966,
386,931,928,734,583,338,466,200,854,964,744,981,411,176,589,123,257,320,760,
143,548,362,754,882,283,914,325,868,720,762,199,544,961,837,224,509,412,346,
121,776,714,560,396,979,092,117,439,801,775,017,104,856,308,483,722,240,195,
734,771,276,283,836,482,866,583,274,068,586,703,617,756,876,557,351,186,430,
239,915,902,834,397,617,386,029,097,124,782,750,171,362,327,823,959,218,109,
615,127,126,502,316,604,831,972,596,555,194,933,497,363,493,619,222,399,662,
787,415,554,550,449,452,823,286,853,003,627,218,375,995,780,745,586,315,869,
353,688,828,799,276,163,563,436,215,022,965,047,586,196,441,761,787,302,139,
322,248,489,166,282,989,461,516,613,077,894,553,524,263,723,760,375,187,979,
652,535,978,088,997,494,127,599,729,785,757,287,727,163,407,625,590,207,632,
582,850,946,341,223,441,898,284,476,027,033,353,648,573,989,323,123,847,075,
634,965,134,254,895,349,316,661,845,332,618,817,647,725,957,688,101,262,988,
507,759,713,300,849,967,755,379,705,878,717,823,445,914,487,237,071,548,933,
451,809,302,159,156,361,585,616,183,229,254,094,270,269,411,817,368,231,560,
521,414,487,873,185,428,883,528,705,099,082,560,074,505,657,301,466,679,167,
451,515,305,403,432,184,063,509,853,676,964,415,187,186,294,259,113,977,032,
316,628,932,921,362,851,540,494,575,097,676,644,093,579,866,877,483,349,741,
306,093,295,355,961,460,318,195,207,817,679,535,497,267,344,888,274,102,802,
675,815,446,470,786,620,798,980,574,277,989,433,776,969,433,159,841,266,954,
781,002,983,439,170,070,420,451,991,004,586,687,715,994,097,932,360,242,152,
626,496,557,260,307,833,351,347,202,065,117,800,971,274,567,300,933,885,608,
984,040,936,995,059,846,926,786,736,433,699,303,437,712,020,149,297,392,988,
413,364,639,439,340,778,858,868,566,092,795,226,371,783,048,386,553,715,193,
199,992,570,592,620,821,736,411,008,214,475,211,256,752,272,710,942,676,662,
899,049,021,233,365,651,083,787,714,120,519,750,151,570,113,652,400,554,724,
749,908,872,375,024,017,541,783,767,408,584,759,741,501,651,313,733,834,420,
346,030,539,799,463,407,876,633,276,007,893,955,151,054,003,178,432,252,401,
639,142,807,017,582,095,983,354,209,623,995,783,004,587,291,411,220,608,024,
715,117,533,572,504,690,650,842,718,285,812,575,014,480,560,333,790,295,780,
670,685,312,455,053,893,917,855,884,148,571,954,765,964,792,294,670,412,474,
799,326,437,216,478,803,172,545,839,720,556,924,490,944,541,689,625,608,830,
403,791,517,967,508,558,122,280,164,709,142,056,243,187,939,754,811,196,540,
106,442,525,236,784,698,466,608,319,399,617,974,268,356,679,108,199,550,715,
573,895,087,434,182,131,839,940,993,441,440,716,970,788,525,198,978,446,633,
634,037,258,921,709,124,468,438,348,889,934,657,226,540,860,005,579,139,465,
928,829,913,148,613,678,195,930,970,600,147,465,764,307,378,185,632,475,912,
046,358,152,809,779,616,695,351,755,147,531,215,835,273,920,509,042,301,727,
637,410,271,463,940,048,724,142,614,010,167,353,146,947,117,790,175,795,760,
361,240,663,465,992,104,248,079,704,515,488,761,424,169,596,867,337,736,444,
548,933,388,160,252,075,047,543,920,012,562,908,725,281,487,051,470,293,278,
135,966,101,635,616,579,035,460,200,428,794,864,794,521,450,727,205,160,886,
934,242,654,407,477,538,233,619,735,584,085,055,982,793,250,298,350,978,959,
947,518,563,459,686,403,788,023,325,845,519,758,420,630,368,429,857,673,016,
422,833,959,808,250,824,553,484,777,584,434,432,274,257,596,567,183,064,149,
334,513,049,675,915,767,812,043,485,645,595,263,063,226,454,307,377,908,909,
214,172,363,855,672,605,957,615,484,876,090,163,695,309,189,944,763,574,671,
362,731,554,952,593,364,363,576,394,508,552,653,884,250,908,325,430,928,248,
257,747,384,748,751,539,342,616,896,608,998,867,944,434,320,496,582,630,580,
654,271,291,850,834,338,780,071,692,703,090,793,433,554,498,744,210,311,382,
012,054,243,949,355,060,355,413,394,470,795,932,442,133,445,350,004,574,289,
696,158,114,145,626,553,148,142,050,839,677,560,168,706,266,166,887,837,586,
069,660,409,389,514,894,114,014,347,199,498,947,999,050,538,826,802,266,955,
371,819,341,357,454,957,920,349,626,716,860,914,938,743,671,227,887,489,566,
578,073,620,736,899,537,543,531,261,781,023,216,416,244,743,275,434,171,986,
166,908,409,183,447,152,989,832,021,195,563,483,904,563,783,204,746,745,553,
298,424,970,285,414,938,209,888,136,147,179,525,908,032,167,513,692,750,378,
575,037,688,360,062,511,079,896,480,758,029,382,722,811,536,319,950,713,638,
925,556,915,601,180,201,774,236,984,704,422,791,644,206,528,614,004,685,144,
724,129,452,933,773,107,415,018,630,063,929,165,340,679,232,907,496,659,019,
376,765,189,485,986,809,000,564,547,708,379,549,087,444,748,580,951,442,715,
769,346,236,227,445,693,414,409,639,076,610,630,352,740,481,892,406,384,696,
820,085,953,118,957,972,530,217,104,563,807,447,014,834,996,591,460,360,706,
049,389,378,222,371,181,153,848,135,755,108,783,643,918,943,945,213,635,712,
857,833,659,139,978,542,440,734,533,842,987,695,361,205,946,211,382,851,006,
808,603,202,940,073,948,138,945,786,265,182,959,555,704,614,498,758,645,153,
351,821,033,609,218,174,172,941,108,278,692,531,545,519,147,007,649,456,305,
043,020,572,309,835,204,135,892,904,890,923,355,962,673,447,406,438,829,383,
272,203,848,088,860,841,623,261,217,179,629,050,247,158,096,724,644,261,688,
920,682,908,535,388,659,549,223,341,135,142,539,950,453,937,973,280,455,643,
110,134,096,878,273,385,749,947,621,661,525,345,364,902,811,480,577,727,529,
388,126,727,582,739,634,041,146,112,387,355,851,656,781,207,768,514,710,194,
498,044,769,129,533,654,006,846,884,204,798,570,910,682,452,560,973,037,385,
479,952,459,835,081,934,753,189,200,677,053,728,059,662,794,547,880,560,854,
106,590,645,809,056,327,152,860,514,374,613,285,449,829,923,529,241,988,909,
694,511,673,706,904,794,958,153,031,476,365,350,140,531,869,961,564,714,995,
091,023,546,242,616,786,004,460,739,715,715,843,626,167,569,687,137,747,792,
209,762,463,909,888,359,272,966,536,288,049,178,633,109,313,223,361,030,332,
337,446,291,968,414,130,589,558,153,576,664,955,130,136,552,845,353,574,340,
676,258,384,017,092,076,228,681,210,100,153,078,218,326,780,561,992,082,783,
354,346,324,476,526,015,189,708,420,285,822,454,713,343,676,511,718,002,055,
181,405,766,532,243,671,006,001,732,827,453,335,393,550,949,190,354,859,488,
266,887,700,881,300,100,210,962,486,587,558,176,113,181,939,049,979,760,089,
142,079,047,524,177,917,473,034,773,573,764,714,272,630,420,945,899,836,323,
966,000,152,721,030,233,452,734,658,814,378,240,232,543,828,345,855,430,296,
055,041,263,173,414,260,658,853,254,667,501,148,089,237,947,949,858,832,601,
469,229,312,385,246,247,084,260,613,276,177,887,450,596,447,274,708,050,709,
560,343,444,828,240,973,767,182,073,681,967,447,817,091,830,999,009,642,104,
669,578,835,644,202,902,902,991,027,232,933,754,980,049,867,210,708,059,481,
833,724,069,211,115,738,789,141,984,820,733,503,347,118,359,807,804,772,662,
192,598,484,943,378,518,207,412,241,400,203,947,139,723,334,600,825,304,570,
220,527,544,182,890,903,183,005,289,848,429,423,866,037,624,017,052,730,963,
451,246,693,592,360,690,149,065,197,700,964,580,323,718,005,990,137,106,661,
259,964,045,632,662,092,516,910,110,965,605,931,967,995,164,084,566,538,002,
383,766,698,790,578,741,255,586,538,183,234,477,182,543,078,464,291,284,348,
538,609,872,622,335,655,994,937,657,041,022,567,902,695,872,385,375,305,227,
578,722,755,331,705,098,301,376,512,296,065,113,739,042,740,442,765,586,229,
799,586,279,644,834,335,158,323,571,005,542,297,136,900,796,380,109,293,848,
263,735,393,212,190,838,799,929,870,974,384,386,838,970,030,270,854,294,626,
015,327,464,918,781,904,934,818,981,828,231,300,219,876,007,019,069,386,078,
122,424,987,145,977,281,981,740,143,453,739,244,827,091,693,848,621,892,220,
825,187,729,253,656,399,825,727,694,280,567,052,976,713,166,574,255,432,978,
549,335,137,026,589,242,217,031,214,422,475,813,999,820,327,934,018,473,887,
144,567,436,536,819,667,564,881,953,795,283,130,260,455,800,859,268,095,994,
274,666,845,661,189,866,809,426,958,920,636,698,348,708,977,347,540,063,838,
735,487,565,150,848,083,566,476,672,075,478,292,208,290,158,573,051,158,426,
098,345,550,288,128,365,390,367,774,687,465,282,786,762,822,350,526,941,747,
398,300,759,024,082,773,031,900,377,388,381,278,145,652,275,808,907,634,778,
024,138,234,175,555,998,915,285,340,438,663,121,491,730,984,830,769,234,757,
839,328,959,558,916,141,434,150,837,734,040,372,506,179,281,862,833,504,676,
844,501,758,030,810,883,194,343,550,698,829,545,769,736,483,263,547,292,332,
852,745,850,898,245,917,257,056,217,895,026,826,236,843,469,440,664,115,882,
045,848,874,122,128,679,109,322,306,370,899,806,417,289,195,449,581,071,042,
796,523,701,153,464,066,303,969,323,252,056,522,374,586,767,546,865,974,757,
560,967,740,982,555,657,879,626,554,377,762,541,775,333,625,999,366,158,164,
379,793,328,773,530,217,422,325,845,599,899,737,591,991,777,402,115,347,801,
573,961,934,343,575,656,447,536,328,834,367,502,606,338,521,368,494,266,109,
822,217,735,613,074,569,919,695,576,662,003,435,497,448,581,974,285,081,078,
882,907,701,598,006,029,023,866,583,739,615,220,461,341,509,899,360,775,965,
691,132,194,155,289,634,218,243,457,577,108,347,114,252,661,309,704,772,360,
409,318,487,314,814,927,081,170,210,532,486,043,191,474,606,249,782,355,267,
954,868,309,269,948,781,680,050,904,280,459,656,202,193,242,465,705,482,091,
421,824,118,802,441,902,214,718,936,803,010,296,503,451,501,562,240,166,490,
034,010,396,021,076,840,602,904,223,387,814,167,462,501,525,152,221,310,363,
473,204,280,064,260,996,640,732,133,515,303,404,504,749,801,130,394,655,984,
227,273,621,970,872,473,773,956,817,646,699,515,640,794,354,901,065,103,174,
697,607,840,726,976,422,243,986,519,988,723,170,664,437,157,685,774,006,300,
885,484,816,863,660,986,290,490,046,810,284,909,298,645,399,306,125,066,278,
571,127,746,518,920,533,970,245,797,469,347,464,036,771,068,259,616,815,052,
461,567,083,376,013,214,617,479,352,150,464,014,806,787,066,869,647,353,670,
759,098,679,932,030,167,806,408,727,277,825,024,140,771,669,208,827,217,498,
548,152,187,992,562,739,752,976,526,006,620,910,013,061,725,430,797,747,959,
611,124,115,540,939,970,870,808,733,555,473,800,035,266,691,604,986,172,617,
660,636,065,708,170,529,961,735,721,562,366,256,258,403,534,519,560,376,361,
212,204,555,840,450,064,444,241,988,783,765,172,723,065,844,501,183,387,256,
152,859,198,158,142,847,633,182,285,856,689,389,836,929,400,323,973,022,320,
442,374,419,792,259,957,871,491,813,917,473,217,162,257,429,646,372,755,213,
752,750,308,101,404,905,316,261,589,462,553,302,403,068,392,929,092,409,674,
935,295,420,160,474,025,924,007,615,526,445,430,454,171,208,538,477,323,518,
139,748,944,119,874,776,181,956,516,907,963,755,795,704,148,700,480,451,560,
792,638,983,702,077,583,292,821,865,773,994,046,379,462,415,643,328,700,662,
694,935,885,460,060,613,621,126,752,188,624,145,014,391,736,960,269,768,786,
169,987,451,765,170,438,828,899,015,384,054,905,579,715,763,994,107,706,634,
955,469,776,809,640,386,033,477,817,461,304,637,743,672,472,153,301,528,582,
204,095,050,036,061,460,501,849,395,766,933,874,102,289,186,830,363,563,855,
153,987,960,764,890,463,983,784,773,370,231,484,839,507,701,434,415,313,965,
057,636,996,361,462,965,699,321,075,253,563,789,595,293,145,523,974,282,206,
538,654,265,082,243,117,185,615,118,957,633,030,150,822,245,998,842,042,933,
075,771,985,176,487,220,990,699,134,047,010,405,940,959,724,441,911,908,191,
610,000,881,836,180,954,517,192,648,934,419,308,203,682,545,779,145,319,101,
311,680,667,998,594,717,489,806,760,444,743,871,417,960,184,466,279,372,903,
549,339,791,892,574,610,401,369,083,710,781,216,286,122,425,048,397,339,821,
913,240,054,248,500,807,460,025,970,758,950,918,574,348,460,635,839,015,214,
007,440,586,449,249,437,815,532,870,140,945,486,269,207,338,206,666,874,472,
790,992,742,500,279,082,946,207,757,768,085,320,439,701,802,392,688,794,966,
811,142,780,191,463,683,291,367,633,116,155,710,909,788,622,381,564,007,934,
896,358,045,622,903,544,270,928,710,230,387,928,951,704,465,242,628,521,635,
469,968,567,627,463,349,913,918,468,041,825,911,050,830,226,941,453,074,161,
722,380,810,112,336,466,112,207,461,536,059,163,331,667,741,021,057,898,805,
865,409,709,025,363,365,205,255,479,124,859,934,412,911,158,230,328,902,287,
569,613,951,514,034,339,556,629,094,579,698,027,833,977,040,408,943,784,356,
064,622,112,548,137,643,301,229,924,872,375,038,947,963,770,968,165,860,302,
838,401,749,174,935,232,752,381,378,218,559,244,704,550,650,938,493,946,062,
073,516,265,049,250,865,281,920,515,827,922,987,154,007,274,950,336,080,320,
832,945,139,779,349,662,274,658,727,779,777,366,462,598,969,130,017,180,198,
425,479,961,128,534,862,524,710,358,232,116,909,990,220,353,326,860,591,101,
182,951,844,738,944,952,491,237,624,708,731,016,953,247,284,418,950,279,425,
575,228,714,126,083,912,396,124,350,423,023,472,220,929,576,629,934,916,342,
878,589,276,797,036,918,202,777,161,620,290,180,815,456,165,545,497,425,136,
976,594,546,920,482,824,229,222,957,243,687,745,336,735,285,284,249,801,289,
664,522,525,306,598,938,414,032,400,604,046,070,182,812,330,136,796,321,333,
386,168,032,749,033,701,498,433,605,124,535,005,476,407,755,821,447,902,795,
606,661,210,722,918,033,317,798,423,028,708,816,049,457,703,986,317,057,807,
682,357,648,089,684,790,376,492,568,562,907,703,265,567,578,644,081,937,420,
347,196,164,177,053,149,255,047,883,538,238,021,916,731,153,872,295,636,879,
706,466,400,940,500,643,718,303,030,099,917,704,365,329,601,400,656,514,018,
358,933,243,957,512,079,570,685,457,006,974,645,086,630,613,923,440,331,089,
631,040,332,283,445,149,892,401,243,042,602,591,163,866,483,409,071,120,205,
905,426,835,658,288,001,870,282,317,796,488,606,127,456,751,404,368,306,878,
221,008,815,152,510,010,230,775,689,670,473,468,319,045,522,633,398,545,673,
093,026,733,950,801,084,338,451,089,770,946,672,946,285,004,035,383,222,396,
864,322,683,652,247,796,072,061,634,993,509,099,850,439,742,166,803,204,823,
357,815,716,538,665,999,347,665,482,246,597,594,061,071,301,746,237,262,113,
326,079,908,992,320,888,477,738,150,877,802,265,637,529,699,008,275,288,648,
161,289,454,231,696,086,435,830,400,311,931,924,542,268,440,166,095,080,246,
324,321,493,983,732,207,921,805,603,576,316,003,421,495,133,677,646,697,557,
308,171,148,886,603,721,525,566,716,719,685,143,179,235,999,326,187,589,023,
644,253,300,443,803,073,036,261,876,377,889,979,774,533,553,529,057,378,969,
307,664,387,941,404,634,554,788,554,770,830,772,679,929,346,148,562,380,912,
894,914,502,596,117,885,085,999,077,828,414,220,309,852,020,243,431,878,706,
283,432,676,792,819,757,133,339,699,399,971,153,106,093,295,604,244,817,428,
620,705,717,725,990,724,574,321,561,432,162,965,325,595,411,894,883,630,162,
371,701,914,233,440,041,385,810,699,920,251,025,539,388,918,009,447,521,279,
567,009,780,976,809,945,548,755,064,219,077,408,999,062,505,766,081,365,322,
479,711,420,857,885,484,252,556,059,342,847,212,135,670,886,304,613,809,227,
222,898,055,116,867,069,740,577,090,022,976,728,858,632,102,313,730,387,931,
325,981,657,765,134,207,589,067,734,242,288,127,239,131,936,846,356,981,114,
775,092,747,487,643,143,266,023,586,031,898,105,321,926,585,409,332,062,871,
161,951,834,179,563,700,974,107,503,943,935,051,918,315,229,536,818,469,259,
234,267,945,782,142,143,715,095,523,181,220,655,481,211,707,886,450,771,238,
452,402,062,043,466,664,193,576,380,438,993,705,103,625,853,786,836,083,965,
115,890,170,242,867,471,610,558,609,556,044,584,490,872,710,752,576,092,671,
154,008,793,029,033,297,942,488,388,277,885,411,341,899,123,932,767,790,513,
573,770,002,225,681,391,811,053,965,182,116,399,095,446,261,754,861,659,510,
739,060,022,410,427,555,278,526,058,737,930,037,195,172,523,000,930,521,100,
484,378,418,344,546,113,506,431,435,876,250,886,893,113,010,033,596,593,828,
302,925,723,062,154,132,651,221,319,361,619,869,286,533,411,718,807,587,986,
059,338,695,309,668,596,169,569,949,490,827,931,743,779,697,501,506,504,580,
692,700,900,619,904,765,076,291,067,673,555,340,208,482,556,693,233,117,307,
246,129,393,152,945,477,324,547,497,191,987,057,605,741,754,982,404,192,784,
610,457,451,407,968,629,380,927,696,851,975,773,491,122,435,084,589,040,692,
923,831,479,927,301,256,428,370,941,537,653,952,449,650,956,667,346,790,740,
685,131,022,002,933,808,953,644,386,010,903,508,053,803,649,420,014,531,911,
220,837,129,301,137,654,466,573,994,689,809,827,015,691,831,268,572,130,106,
428,508,632,248,078,599,145,888,158,170,968,619,657,160,315,104,726,057,446,
566,354,238,335,138,125,821,897,560,329,387,160,902,129,734,334,370,901,108,
598,468,874,288,724,785,673,783,277,940,666,681,205,920,379,153,111,668,490,
761,654,848,995,103,395,723,173,926,395,626,881,509,172,566,480,227,591,082,
031,014,407,255,123,982,582,690,637,910,463,051,509,429,103,171,797,910,679,
439,963,053,580,355,709,802,192,755,380,257,081,890,605,527,994,482,431,136,
328,043,713,779,767,115,418,637,439,927,816,834,199,965,207,578,825,291,866,
579,741,293,505,759,155,668,380,939,487,283,043,658,152,659,368,725,628,472,
053,324,416,772,923,029,340,110,782,975,995,746,802,910,053,275,143,656,613,
026,974,482,549,179,113,943,900,951,485,498,003,040,114,953,718,734,445,511,
457,158,043,817,706,400,443,433,943,364,894,473,707,638,006,382,763,889,178,
794,254,576,550,843,026,128,971,484,743,012,655,450,031,504,918,046,762,372,
688,064,155,929,527,119,170,792,602,348,536,608,730,555,607,967,316,581,553,
151,457,135,496,477,456,145,961,883,217,252,483,980,228,499,852,521,578,700,
788,264,325,607,116,231,099,900,218,999,637,635,641,920,330,079,432,439,581,
023,324,608,842,460,779,836,929,684,277,873,876,131,388,028,196,061,420,750,
137,952,861,897,978,632,469,250,938,959,257,006,288,012,532,546,828,340,307,
882,689,434,579,247,993,761,608,468,411,659,903,856,898,248,228,362,133,491,
505,455,347,392,678,842,016,677,896,249,877,714,094,309,283,762,997,109,580,
892,713,717,121,766,276,466,572,599,886,849,846,800,741,856,661,606,182,212,
228,534,780,220,241,928,108,108,538,298,550,797,479,708,929,995,752,053,278,
021,963,704,582,508,446,147,977,784,659,150,579,482,829,813,086,022,069,079,
795,704,617,006,532,869,412,665,652,170,605,914,825,705,556,170,326,251,365,
792,085,883,507,587,447,536,183,179,209,870,660,205,817,148,834,674,085,030,
997,641,368,817,907,303,073,365,320,283,308,242,317,678,365,087,301,504,971,
216,476,370,425,111,705,539,594,491,558,745,787,354,920,035,462,322,517,708,
176,306,655,943,467,644,003,289,808,872,288,158,863,757,120,903,045,305,635,
734,907,176,291,855,890,237,609,615,452,027,331,068,744,687,683,018,738,194,
641,848,841,094,763,011,612,738,471,388,098,598,320,637,283,776,753,367,304,
007,407,806,656,868,070,792,932,595,526,311,546,845,574,616,607,414,204,844,
801,553,192,869,505,494,045,869,546,914,337,983,160,533,216,962,001,142,328,
236,723,859,708,993,350,005,523,242,932,839,003,353,590,858,068,002,376,469,
587,235,550,539,109,835,044,125,862,491,822,746,150,645,675,920,942,020,242,
944,705,858,126,717,574,437,281,029,003,691,850,183,153,545,349,632,513,228,
511,309,113,810,689,582,354,501,301,112,998,986,993,746,060,713,323,641,735,
620,985,684,455,014,667,037,522,963,435,958,550,767,340,462,082,696,091,243,
432,208,350,158,872,013,778,861,960,658,090,144,726,141,210,539,238,173,357,
089,966,082,669,983,619,606,646,372,889,084,786,405,877,153,391,270,964,746,
280,767,733,743,147,161,121,447,937,046,633,964,451,502,194,027,751,244,055,
911,078,306,463,665,787,684,833,807,729,559,464,658,465,981,884,944,022,364,
212,228,501,908,617,370,289,827,537,165,899,200,050,575,122,729,385,092,151,
728,794,351,457,333,704,875,996,031,024,977,962,419,011,591,201,047,847,823,
527,068,514,391,519,777,514,974,937,023,235,671,879,810,501,127,187,495,876,
746,661,053,582,176,316,634,907,454,977,164,433,823,308,756,455,430,329,875,
682,728,772,557,824,736,345,319,578,319,942,210,639,965,655,786,163,643,274,
349,653,333,329,500,084,417,593,418,814,797,448,603,162,735,253,062,912,427,
919,424,178,653,447,328,720,609,241,972,086,322,262,942,794,098,295,607,050,
119,813,355,835,919,298,956,383,349,539,002,187,255,474,030,501,055,843,691,
268,190,044,746,156,752,253,788,556,993,067,336,680,090,722,863,218,475,586,
778,847,346,070,773,718,251,785,410,232,723,508,616,037,424,963,384,400,305,
948,077,339,263,752,635,868,345,336,065,817,127,067,551,867,718,988,014,061,
885,791,037,668,537,547,524,332,385,978,534,497,302,990,694,986,299,927,345,
391,024,950,261,897,586,785,192,337,103,328,508,824,036,949,370,175,328,738,
299,932,374,470,928,156,673,006,729,593,423,305,404,610,385,510,689,849,892,
158,237,736,104,685,717,061,880,124,045,789,786,287,980,790,030,028,849,582,
569,008,969,178,642,354,261,549,074,474,280,083,336,978,724,257,683,379,078,
079,883,959,283,450,630,174,817,992,087,371,559,362,039,815,093,521,780,439,
668,304,265,098,611,496,694,265,623,895,006,974,687,663,428,541,985,034,951,
415,205,793,262,716,103,640,141,295,958,332,937,607,345,410,082,157,606,448,
277,417,667,116,010,278,945,670,954,821,025,578,528,762,008,906,970,673,040,
412,479,049,664,466,967,154,769,002,385,966,494,720,279,016,017,697,229,079,
007,064,486,882,601,192,133,612,953,280,248,932,011,417,808,253,032,272,326,
660,970,614,163,935,786,455,301,468,230,437,521,029,629,129,028,452,443,498,
856,324,554,947,397,159,748,185,554,410,859,220,692,625,304,558,973,485,375,
120,660,126,874,872,939,625,234,016,525,436,363,087,775,652,280,880,512,974,
496,848,693,344,970,636,807,522,564,979,080,847,424,501,421,198,718,362,121,
527,072,731,101,413,301,038,276,823,587,514,375,288,316,527,693,791,768,758,
255,475,444,423,980,659,177,056,893,197,314,641,907,340,425,895,783,548,205,
691,958,950,583,162,297,124,016,376,768,508,899,074,635,528,755,742,371,397,
848,180,012,336,029,204,213,270,175,968,258,617,771,351,531,226,090,280,903,
883,854,305,176,693,643,672,572,420,958,353,403,000,882,856,867,567,089,169,
445,660,332,430,088,211,204,839,072,649,544,412,553,215,974,899,190,266,682,
943,410,505,434,845,114,026,402,291,181,758,093,991,163,702,824,676,085,121,
769,339,051,799,246,920,265,203,501,804,936,251,904,686,632,053,097,274,762,
833,470,023,079,964,134,688,452,072,553,723,945,153,722,966,901,213,380,977,
350,730,042,219,671,033,489,100,442,107,026,103,470,040,202,759,896,914,352,
385,558,560,716,980,450,562,063,063,372,866,730,129,252,238,553,823,511,490,
469,292,378,975,731,377,614,636,362,333,250,674,053,250,214,102,785,617,829,
725,084,035,177,122,064,040,505,470,691,825,456,380,075,845,850,380,228,956,
391,373,641,030,013,590,797,846,328,875,216,817,680,411,252,786,777,145,200,
059,823,384,487,591,224,836,440,582,392,451,708,618,401,959,132,158,380,159,
261,981,289,729,891,508,654,744,629,478,083,742,082,670,074,776,267,440,613,
127,907,985,592,032,685,631,049,231,085,430,199,823,316,835,720,053,540,672,
511,755,210,391,225,603,225,287,538,982,492,763,517,424,179,164,392,567,377,
293,394,340,053,986,144,115,155,432,041,499,959,144,425,559,097,079,408,221,
104,699,057,621,075,516,461,463,537,996,974,644,849,330,380,615,996,829,129,
828,282,814,740,936,264,158,144,756,551,613,997,576,603,231,821,125,954,821,
235,513,911,233,742,861,658,798,923,118,005,641,912,125,889,898,550,921,912,
602,336,611,033,413,564,357,150,577,516,429,832,581,072,048,824,226,703,875,
016,957,461,155,320,505,948,708,321,227,111,122,660,825,365,734,868,447,591,
843,994,233,931,302,581,600,890,946,834,367,960,932,098,475,889,569,547,281,
054,696,027,095,211,348,395,960,425,836,459,022,382,588,835,424,378,412,157,
240,052,606,941,869,355,907,049,694,700,325,119,855,909,973,251,333,563,673,
150,206,916,122,904,480,999,386,181,255,149,660,464,310,853,901,741,924,686,
046,600,340,387,029,011,647,183,435,638,307,868,386,727,812,720,398,417,433,
278,558,977,323,119,807,230,771,641,885,856,633,706,054,785,965,362,781,623,
509,199,201,022,144,447,282,492,753,125,542,819,098,533,032,115,560,097,299,
963,671,331,284,839,301,975,265,975,756,356,932,796,429,214,195,638,894,683,
121,776,428,579,491,697,459,769,225,657,816,759,973,206,262,201,676,976,389,
702,065,165,250,474,798,411,855,557,570,886,561,500,731,724,113,436,188,048,
287,876,213,613,004,109,596,216,941,327,845,969,917,914,125,791,414,884,897,
106,111,254,192,852,157,402,715,100,620,841,249,007,383,885,410,226,754,753,
595,605,266,320,155,177,378,797,878,297,447,523,167,149,149,352,920,540,527,
519,477,003,885,770,386,652,102,938,489,682,342,680,695,886,853,682,356,007,
944,661,631,634,970,304,907,851,726,237,713,189,284,810,524,824,439,945,833,
942,300,055,176,871,363,997,291,447,329,953,469,562,179,202,893,254,760,359,
406,915,037,191,417,255,256,982,237,652,829,595,168,232,762,148,321,848,554,
193,407,415,165,348,388,780,623,595,649,144,992,419,240,601,011,266,796,963,
841,304,323,994,159,976,572,381,947,057,695,655,304,248,403,244,258,669,288,
793,631,560,963,595,963,342,000,134,373,232,738,942,901,033,351,566,203,586,
918,494,541,950,686,977,599,404,886,757,313,800,961,782,161,821,276,347,180,
105,363,150,683,810,378,705,663,174,408,867,056,654,401,135,348,871,883,899,
646,194,591,138,198,358,303,051,595,992,226,877,148,600,399,466,923,800,081,
653,620,016,604,287,777,790,631,624,498,226,405,060,727,242,012,238,274,749,
630,012,639,530,808,561,545,640,490,402,503,063,487,687,821,697,184,285,921,
745,542,160,419,194,189,640,573,544,889,785,809,083,946,572,648,640,761,529,
362,432,877,392,009,591,975,152,125,620,943,488,200,611,478,753,882,251,411,
743,546,433,196,536,763,563,894,838,705,651,105,552,315,934,429,289,857,072,
606,366,772,429,492,685,031,240,425,375,745,463,279,795,833,615,551,682,034,
343,168,356,048,200,678,522,458,694,819,297,617,039,441,788,360,344,366,289,
808,174,147,097,132,749,815,361,600,047,281,240,993,500,383,805,263,699,863,
783,519,490,353,707,555,157,013,070,714,075,876,245,376,931,404,198,273,227,
204,123,959,285,708,427,469,453,314,609,949,273,896,417,031,784,015,605,601,
717,716,919,620,903,411,598,440,852,140,036,145,627,452,365,788,975,901,062,
075,557,998,306,428,916,232,290,765,536,664,132,125,048,149,102,929,358,379,
651,269,233,761,211,450,633,219,241,542,548,179,671,851,708,151,719,296,164,
487,050,259,181,048,587,322,240,485,061,743,654,072,820,577,827,243,019,710,
295,820,736,393,537,367,585,354,519,199,420,854,330,800,665,376,896,920,974,
375,863,334,005,806,675,079,076,373,466,063,245,985,510,630,249,174,434,692,
024,429,394,406,243,435,250,808,324,990,075,067,612,601,862,381,276,409,020,
433,457,256,916,615,899,239,122,320,365,194,270,986,598,387,886,350,158,945,
998,972,211,723,114,238,958,125,882,726,382,515,788,497,834,221,165,221,648,
584,081,172,095,666,453,353,675,496,502,102,948,548,742,666,893,980,099,387,
991,337,136,285,818,699,160,071,148,382,088,150,080,702,259,420,273,314,862,
721,049,218,292,779,031,648,717,601,035,520,879,392,181,651,258,330,312,994,
970,521,029,227,627,655,815,232,061,622,448,113,299,078,819,496,375,155,319,
151,347,817,397,795,334,430,945,920,601,256,553,342,905,378,643,068,207,351,
992,478,624,517,048,648,184,776,298,609,930,640,263,649,095,906,158,830,311,
051,531,125,943,260,223,012,340,159,089,292,117,900,849,386,107,053,695,480,
799,209,959,556,601,241,358,637,825,878,103,260,456,868,415,027,314,163,318,
825,572,964,982,908,638,894,140,197,515,106,963,800,661,632,032,482,496,906,
629,656,188,320,434,344,559,055,690,724,349,474,375,291,402,788,038,410,613,
117,692,860,438,509,539,867,412,229,111,679,090,355,343,641,285,474,071,506,
173,731,558,621,497,115,811,090,862,556,585,824,461,972,990,619,260,301,353,
410,765,414,104,678,080,668,948,942,626,713,701,840,652,072,987,747,406,755,
361,166,077,561,321,830,398,939,113,789,495,272,102,376,732,102,939,737,941,
050,309,362,163,625,275,472,064,806,714,219,074,422,125,501,980,486,451,134,
889,577,948,851,515,175,755,698,630,276,286,071,448,456,698,071,661,748,287,
706,701,007,571,400,692,380,272,600,046,498,095,262,845,524,056,239,872,288,
514,803,103,565,293,074,544,408,349,819,489,706,326,788,898,720,064,158,778,
341,220,941,384,680,580,933,848,148,738,850,943,050,889,742,936,202,105,631,
466,959,921,550,144,223,662,806,241,297,932,892,191,446,549,982,079,883,114,
594,334,605,481,399,282,364,499,236,036,969,022,519,535,374,685,279,373,320,
463,070,995,367,882,351,365,966,825,089,500,909,352,330,710,520,083,883,173,
106,587,107,025,826,325,491,519,599,069,559,732,392,050,019,297,950,244,983,
975,605,843,316,683,156,253,147,674,340,669,647,560,204,332,888,974,135,782,
988,491,629,247,732,124,176,348,072,308,302,942,328,395,894,248,367,255,752,
496,521,139,699,343,528,858,697,176,380,437,271,641,140,704,863,792,810,681,
962,292,202,798,654,595,955,639,107,177,615,931,332,697,562,554,146,810,615,
469,255,735,455,968,809,117,828,111,956,575,328,288,292,699,898,064,072,582,
573,070,988,515,788,586,939,646,048,879,013,510,294,875,731,925,244,615,734,
404,107,263,367,407,140,001,033,893,999,768,730,922,215,706,359,260,545,027,
869,170,964,205,183,779,701,576,054,062,211,027,413,393,471,839,145,393,764,
971,481,351,219,063,540,987,106,942,915,415,324,720,213,211,140,901,307,991,
017,723,172,116,868,738,752,851,183,061,796,108,553,515,549,066,267,156,543,
731,794,235,568,263,908,236,082,205,753,989,700,321,456,666,618,354,390,791,
410,267,612,778,988,992,494,974,046,211,089,200,364,197,553,088,678,019,402,
216,614,196,485,140,739,641,159,705,174,381,322,178,602,977,175,365,348,964,
422,764,423,482,147,662,730,927,583,723,394,088,049,577,465,356,661,653,353,
601,045,312,951,327,429,992,789,354,044,615,386,866,722,733,528,526,598,135,
343,090,815,846,653,602,424,338,216,610,707,500,672,858,505,511,341,247,707,
177,013,819,290,651,224,917,298,249,239,939,615,125,969,058,498,840,973,489,
823,542,369,786,043,865,619,429,543,354,087,440,172,814,227,678,298,076,717,
931,630,043,760,021,081,475,916,311,160,005,869,530,616,091,917,155,500,070,
299,387,766,245,821,118,520,045,996,422,223,817,309,803,945,056,168,134,589,
483,359,989,462,654,513,384,262,370,726,174,419,602,487,451,015,292,981,924,
637,183,214,556,458,311,266,324,859,147,355,313,947,052,610,877,764,600,874,
676,152,197,936,869,259,048,428,976,926,773,228,153,346,576,759,610,978,571,
640,740,031,552,455,498,194,169,042,674,517,709,223,312,585,315,524,172,322,
889,250,887,741,874,264,331,999,177,227,245,654,496,780,414,732,583,704,981,
858,762,411,436,627,973,962,798,392,687,268,312,720,307,122,578,282,912,883,
511,210,450,342,957,828,848,571,199,872,397,453,960,679,679,475,490,279,025,
087,827,886,534,986,823,451,514,671,339,807,863,328,217,555,919,034,940,481,
991,194,293,173,261,087,513,566,095,982,291,435,257,821,127,420,843,434,894,
244,220,445,434,092,430,071,214,522,483,894,339,407,265,687,140,249,799,926,
020,688,620,214,270,712,131,408,212,782,855,235,054,840,462,193,084,264,494,
359,298,739,113,874,178,686,541,360,841,030,526,596,957,243,061,602,616,785,
891,573,028,872,377,971,174,115,731,657,560,409,929,971,234,030,059,250,607,
307,874,703,015,052,750,633,165,431,960,569,860,478,486,121,603,539,143,589,
868,169,005,474,911,188,886,066,372,867,349,369,816,913,393,320,990,070,794,
559,147,012,678,295,100,225,022,810,359,190,284,258,764,219,893,685,758,199,
864,633,328,572,706,966,282,620,639,634,953,172,198,973,885,403,968,804,539,
597,034,731,371,762,602,762,872,418,573,522,997,187,631,929,467,977,437,130,
577,829,965,960,447,450,617,667,635,203,130,567,192,030,724,703,259,968,712,
698,844,991,916,071,889,008,345,328,496,801,836,857,132,323,333,477,005,228,
490,497,853,982,433,647,087,503,564,466,358,999,166,062,389,870,003,677,040,
076,506,662,484,786,405,454,199,388,091,464,416,552,310,004,916,777,426,616,
626,553,679,319,919,567,383,456,637,425,848,520,933,285,572,596,633,148,807,
084,522,807,836,781,841,394,260,171,076,857,024,437,814,040,882,359,722,714,
905,265,178,479,834,589,291,033,204,922,114,808,888,456,475,209,370,406,883,
107,034,925,841,774,932,869,655,173,937,728,627,087,142,291,354,397,318,965,
532,538,792,227,379,727,233,731,263,309,501,584,818,883,485,259,273,716,824,
654,789,233,716,806,989,303,597,454,388,955,842,875,298,554,961,611,561,306,
661,570,468,446,801,470,312,613,728,171,636,426,849,226,176,672,842,448,847,
628,666,832,470,885,337,161,215,661,690,130,743,847,189,034,606,029,767,615,
999,852,407,480,538,140,181,039,901,574,194,582,681,979,096,712,018,319,103,
259,473,214,560,178,927,586,695,017,724,672,935,059,287,953,465,783,531,544,
167,875,247,978,584,506,123,029,253,251,027,853,214,044,163,277,569,485,173,
883,689,953,782,778,712,090,247,731,360,013,686,466,553,535,587,498,315,655,
796,369,949,301,682,137,752,009,758,864,633,318,830,436,862,090,787,293,475,
835,269,815,011,716,326,981,760,868,590,035,033,362,552,717,436,306,310,187,
417,449,608,747,330,021,681,302,392,199,374,446,128,648,399,537,545,415,419,
248,417,852,760,031,646,706,651,039,345,203,664,480,726,540,006,305,660,596,
395,806,122,432,628,555,805,994,968,474,300,256,003,352,203,277,378,480,716,
798,448,475,276,709,929,600,203,172,810,177,928,377,370,954,380,187,273,824,
130,754,951,453,408,736,131,755,705,748,845,935,819,540,173,392,963,666,301,
275,958,987,959,653,362,961,186,923,738,823,782,637,202,095,773,086,623,207,
013,794,945,136,974,127,588,045,654,089,459,044,912,537,548,395,963,834,424,
925,944,582,935,928,722,487,083,723,831,864,385,954,487,937,367,525,933,868,
659,115,253,028,909,075,154,655,135,142,030,623,067,627,625,565,977,959,817,
392,735,520,680,328,339,887,534,436,193,000,876,923,528,571,110,966,485,947,
916,456,302,388,066,183,860,003,834,015,938,004,475,227,261,930,482,511,725,
154,154,859,922,244,050,902,564,847,745,195,384,620,886,830,272,605,363,092,
735,976,372,616,445,549,290,973,567,900,752,767,518,564,165,409,624,735,566,
890,658,715,071,486,675,446,917,810,023,347,717,862,814,448,644,228,331,621,
201,058,890,847,928,213,406,327,775,162,497,637,051,805,970,280,130,369,756,
140,108,399,434,861,219,104,376,454,795,338,869,837,023,092,906,342,295,895,
564,725,781,204,541,591,303,737,516,222,128,523,354,662,107,064,559,756,216,
798,477,680,081,804,604,624,550,612,857,670,028,165,934,944,805,540,300,273,
587,003,367,132,458,280,973,278,034,000,586,669,148,081,727,905,174,095,115,
328,842,369,339,888,066,656,687,569,557,756,047,294,839,510,149,125,628,520,
019,060,298,559,883,553,115,849,982,834,362,625,051,067,355,238,319,371,083,
502,573,658,971,726,227,363,013,250,451,414,867,798,883,853,721,602,806,120,
991,037,028,597,280,921,009,407,417,602,766,714,048,416,145,477,157,348,634,
493,076,771,038,270,991,261,162,499,757,578,097,403,377,964,354,731,409,875,
881,295,404,418,310,438,664,916,187,440,066,373,766,375,470,526,754,218,212,
672,000,053,778,691,373,540,269,891,196,932,888,837,170,363,664,369,319,319,
717,563,749,404,400,065,918,852,120,438,763,344,791,748,800,600,707,766,158,
890,261,254,743,318,856,629,809,631,756,289,601,769,294,402,702,583,844,480,
561,827,844,959,727,556,213,683,194,468,770,768,185,144,503,071,006,683,022,
376,277,150,979,165,726,298,003,439,158,625,450,092,204,180,257,997,546,827,
614,759,347,118,588,579,524,439,013,552,655,963,663,419,108,536,319,944,681,
017,051,226,112,828,698,106,225,976,724,239,277,883,264,154,355,427,129,315,
162,243,184,367,668,358,466,234,613,792,449,186,593,544,284,931,674,914,529,
825,341,308,301,310,142,792,242,528,609,377,465,386,353,831,699,408,561,223,
060,440,869,517,309,340,225,656,929,889,696,677,892,438,383,004,803,075,112,
226,953,286,660,136,709,173,837,045,893,983,103,757,099,022,071,127,969,261,
390,932,188,701,814,842,129,668,451,616,364,097,343,367,289,030,707,008,458,
103,514,917,804,670,721,180,010,033,782,727,114,429,216,231,846,937,801,902,
986,636,262,055,950,067,103,395,989,976,334,816,141,737,520,830,365,392,206,
395,366,916,689,947,931,579,491,926,513,003,002,412,321,889,547,197,908,690,
947,457,741,224,529,288,635,641,286,325,734,498,021,877,201,131,223,926,865,
335,648,489,736,168,002,625,490,278,306,265,798,579,682,151,569,348,244,166,
637,293,727,784,348,264,846,405,038,153,198,022,667,645,273,649,072,706,820,
421,207,929,848,629,971,009,293,450,711,824,062,826,918,222,750,012,986,713,
179,775,835,250,461,728,419,292,728,537,841,927,287,461,077,464,484,726,934,
446,609,458,324,635,868,785,557,971,552,969,591,822,584,522,660,512,567,022,
361,645,917,688,099,615,224,723,163,579,759,773,135,820,268,311,268,599,672,
728,364,192,382,371,098,490,271,155,087,875,240,777,205,185,015,552,162,303,
051,976,690,163,587,101,911,193,371,362,699,495,954,539,429,293,147,416,208,
929,658,891,857,415,989,998,954,306,646,133,128,707,757,711,498,163,325,669,
236,442,542,944,628,953,830,777,558,002,286,332,417,131,132,289,690,729,822,
196,494,175,833,703,058,861,063,704,537,783,499,862,907,657,957,852,312,181,
643,631,356,503,805,722,307,287,673,033,872,473,354,401,265,696,711,089,293,
469,164,928,931,486,560,738,509,027,095,240,375,365,289,360,125,821,250,050,
748,453,797,900,046,327,295,023,689,628,451,989,236,558,461,885,286,369,824,
047,428,600,457,144,818,377,843,551,771,374,190,942,825,625,457,901,520,935,
343,872,462,664,579,272,567,594,408,971,166,756,297,826,596,924,656,440,335,
357,399,046,758,081,824,172,904,271,650,587,845,169,998,311,655,224,541,217,
410,094,360,899,875,243,422,277,510,437,715,485,459,244,657,031,260,552,688,
706,300,798,975,754,434,563,313,813,809,204,204,945,178,312,651,489,422,930,
326,851,961,490,959,868,927,851,562,773,366,515,634,794,893,041,447,230,009,
901,448,571,844,844,009,594,596,140,369,770,233,180,369,365,931,625,534,778,
137,427,670,840,309,719,696,204,821,947,356,008,918,858,608,199,478,287,947,
684,017,188,293,174,279,030,718,613,683,850,175,974,587,487,527,657,802,289,
551,255,865,393,022,621,733,828,083,992,689,342,410,453,893,592,610,164,798,
962,853,115,037,818,733,354,656,010,724,056,146,223,119,790,457,317,036,559,
646,423,902,504,038,017,504,707,579,599,041,903,633,613,132,442,106,595,508,
415,664,090,464,403,336,430,404,767,024,444,630,934,535,520,421,706,049,694,
778,625,252,210,024,926,876,599,637,587,497,424,867,505,273,223,107,212,650,
491,340,511,504,469,573,442,125,980,892,922,599,399,384,979,357,398,880,398,
245,502,784,128,398,811,883,419,090,037,796,274,825,805,385,478,831,171,080,
386,378,251,816,973,838,828,097,066,980,534,226,679,234,973,657,895,293,852,
587,673,339,114,919,723,034,863,281,211,104,821,107,611,800,757,065,437,817,
977,163,299,031,191,051,572,423,180,766,084,843,517,672,285,339,569,315,135,
907,586,059,423,176,093,748,038,100,154,348,246,162,895,024,158,284,883,858,
816,468,350,159,479,295,049,553,895,383,001,732,160,428,250,288,468,122,913,
864,980,619,020,447,740,887,440,613,450,348,893,808,322,113,155,091,216,924,
729,054,366,998,921,352,380,252,248,073,575,055,571,769,627,603,692,229,666,
373,382,840,613,147,159,262,609,701,848,148,744,821,994,587,347,865,492,552,
273,162,620,868,956,713,447,961,372,947,417,671,584,004,834,325,501,771,265,
964,115,953,616,006,333,178,114,644,320,024,774,043,746,857,053,928,534,419,
996,543,216,596,621,384,801,426,966,645,799,391,502,722,354,299,436,085,874,
139,262,004,035,321,361,591,633,616,300,120,129,342,092,510,627,317,847,616,
529,964,620,917,869,296,276,182,941,814,912,835,327,285,450,860,068,097,065,
344,891,125,674,437,776,374,352,934,336,334,767,263,872,492,843,415,221,460,
399,061,461,092,901,886,964,325,266,252,818,111,631,198,032,385,134,049,845,
620,732,460,935,298,810,435,920,265,665,448,930,972,709,073,577,171,373,341,
150,805,904,473,285,250,020,803,121,554,139,060,911,860,047,486,215,898,993,
031,037,812,900,939,569,699,541,764,951,502,412,960,953,667,801,594,137,288,
354,865,570,184,556,714,424,203,817,757,499,056,117,294,733,927,887,115,927,
201,259,827,479,228,354,219,028,711,413,907,871,146,610,110,840,655,957,311,
914,740,721,289,271,949,830,392,771,623,860,637,604,775,953,064,180,820,826,
069,612,397,547,479,242,923,379,452,351,944,105,239,785,325,684,090,123,024,
282,588,500,217,015,208,038,603,814,076,393,845,347,468,639,555,726,113,373,
657,808,382,348,790,460,585,395,824,277,633,513,118,487,898,632,121,967,719,
549,986,002,955,919,467,275,543,654,865,614,677,049,890,707,970,829,925,807,
074,042,660,465,453,131,141,941,605,336,539,129,916,739,213,061,587,008,863,
112,364,341,226,682,370,663,228,963,710,963,293,079,546,235,055,156,607,608,
626,342,571,134,770,863,257,616,049,747,190,250,586,213,234,728,627,033,267,
220,453,251,228,776,964,239,252,076,790,121,136,263,787,446,934,471,162,510,
355,287,802,601,770,213,107,356,068,898,799,608,762,991,094,571,915,355,897,
076,581,672,524,516,204,159,094,572,960,015,278,306,889,268,705,464,983,313,
930,884,041,374,715,261,197,974,800,565,986,648,433,509,913,387,168,824,115,
425,574,689,801,763,838,459,412,337,767,873,301,377,352,459,325,316,896,500,
243,842,367,496,705,729,407,707,842,993,478,794,502,676,316,136,299,984,048,
726,523,384,584,893,800,271,082,673,937,790,279,954,019,836,376,424,231,997,
233,216,651,509,280,620,392,635,946,327,043,563,092,856,175,778,075,686,644,
830,172,807,098,868,958,908,714,147,797,453,910,744,735,226,201,007,839,502,
329,745,972,081,008,384,652,149,103,709,096,586,277,090,406,045,808,726,437,
417,464,729,728,179,212,539,804,654,537,874,192,913,280,931,994,636,570,906,
895,379,078,257,477,381,286,631,130,627,305,411,518,533,893,624,728,024,148,
939,864,301,653,295,653,726,647,207,218,154,737,654,508,425,707,966,432,955,
459,586,416,862,499,078,074,910,893,175,691,529,985,284,678,065,844,824,598,
627,074,149,918,308,939,250,547,435,040,300,076,222,226,948,754,070,340,082,
767,025,583,646,931,100,172,496,143,474,469,373,292,467,746,709,196,704,542,
579,575,084,025,700,690,698,376,327,972,193,363,541,797,394,676,866,070,497,
087,124,394,822,886,050,885,250,513,584,886,753,017,380,772,244,689,254,774,
673,161,314,032,587,336,431,614,967,920,071,538,951,182,868,554,248,902,396,
658,368,113,231,086,998,277,658,954,313,867,242,086,574,409,558,138,126,742,
336,762,715,567,517,081,209,169,018,158,556,896,901,130,381,877,545,920,431,
206,910,599,900,764,135,469,255,206,253,205,162,491,830,081,262,064,957,447,
105,003,178,716,120,092,953,740,910,513,571,661,644,219,803,466,211,782,947,
926,425,044,465,321,842,254,739,346,624,724,652,779,220,182,159,574,545,442,
903,003,137,141,346,986,011,285,932,631,085,057,266,127,174,412,921,221,394,
933,209,632,353,051,261,773,395,023,343,078,833,080,053,692,776,506,103,166,
022,561,497,731,385,935,014,724,248,813,389,353,008,232,525,676,956,895,472,
580,833,604,908,195,686,016,544,440,934,004,487,669,092,202,726,828,067,663,
628,065,844,494,016,312,013,992,659,125,936,330,223,768,145,757,638,105,838,
739,361,431,362,990,969,448,667,407,791,689,476,146,122,142,429,339,158,872,
806,328,405,453,407,912,907,128,570,057,750,347,034,836,565,520,886,201,100,
786,931,186,352,572,655,161,899,619,581,473,038,046,819,797,821,549,082,597,
888,669,710,674,214,881,122,315,327,147,792,289,322,602,032,269,448,824,537,
106,947,546,468,086,273,706,105,640,753,400,512,506,531,721,314,282,421,970,
043,751,029,282,623,947,822,068,180,268,965,318,532,785,953,911,428,961,487,
570,990,002,230,793,096,571,173,867,640,837,957,955,868,429,241,053,748,155,
628,841,448,883,611,919,856,091,775,490,557,955,295,665,305,225,342,707,599,
475,479,428,625,365,098,153,747,661,612,968,156,752,342,658,708,703,352,856,
630,356,727,072,156,831,644,965,087,480,013,276,797,252,433,387,668,571,360,
812,703,159,207,310,352,305,936,590,098,736,088,055,192,372,841,929,818,065,
587,016,798,516,953,950,148,620,367,385,497,430,251,785,157,147,772,659,698,
001,920,341,896,869,012,357,904,684,732,558,452,506,902,330,985,728,435,832,
297,683,106,488,621,740,508,779,461,552,804,477,218,633,228,009,410,563,641,
208,715,482,119,091,094,101,493,359,171,683,187,174,495,474,777,624,618,581,
331,587,369,714,824,907,203,664,662,530,548,637,134,930,781,638,940,065,676,
435,865,657,872,401,222,887,609,246,505,573,387,762,511,167,671,485,408,962,
703,891,818,078,278,457,942,402,891,090,711,286,652,128,082,807,149,752,712,
673,460,812,811,818,141,760,936,060,771,338,675,619,856,408,623,505,609,719,
967,945,151,617,138,780,777,492,357,088,727,478,945,366,495,050,203,679,992,
198,505,582,180,149,945,814,113,786,185,291,697,161,772,448,201,001,453,450,
767,553,922,270,007,579,188,668,112,576,884,947,628,383,955,123,085,836,668,
617,905,144,126,501,641,410,437,135,597,829,154,099,478,370,696,218,835,968,
430,933,265,321,279,480,898,082,959,565,640,457,585,544,616,649,593,823,558,
121,391,732,885,771,017,195,091,015,201,670,027,162,186,064,645,692,425,345,
332,520,558,401,049,968,729,459,153,043,451,515,805,120,677,408,303,471,952,
574,515,830,780,032,027,541,754,173,148,756,844,505,704,353,231,025,149,217,
400,825,105,392,350,545,675,402,816,800,173,526,018,834,336,875,999,268,490,
138,400,747,324,308,422,880,369,202,275,877,559,726,532,245,338,259,603,111,
664,084,987,822,767,249,679,594,058,411,688,594,516,220,312,381,850,995,552,
954,189,344,300,952,605,355,170,761,826,709,849,109,308,958,976,581,348,589,
316,149,574,348,967,690,978,261,826,429,954,976,823,727,091,761,485,119,150,
116,754,165,289,231,128,984,020,250,126,398,224,370,589,126,951,854,458,905,
749,855,708,288,344,744,340,127,222,633,264,078,199,533,721,749,574,137,674,
321,429,829,287,570,211,967,047,771,203,313,806,604,948,421,748,521,039,168,
650,172,046,941,777,056,651,815,757,393,717,433,122,242,127,756,401,636,105,
424,442,811,430,714,797,222,641,359,818,034,527,144,544,839,238,071,328,926,
868,570,590,495,002,967,682,423,647,544,118,577,946,930,895,549,070,630,778,
262,610,231,297,712,195,865,828,504,597,327,444,577,212,141,770,929,497,626,
741,386,655,698,944,849,114,321,977,605,596,730,005,633,729,150,534,427,860,
473,867,815,214,145,867,358,077,386,691,836,356,269,776,207,985,345,915,748,
139,539,041,561,414,813,397,014,266,336,951,741,440,787,624,839,349,555,716,
434,220,560,539,938,551,918,729,624,299,498,834,205,380,796,458,119,535,472,
288,615,292,181,368,813,854,656,107,299,547,890,431,100,931,700,638,541,887,
008,775,715,764,945,619,551,173,254,699,253,770,628,051,530,493,949,245,833,
050,243,860,570,263,522,847,142,856,075,329,281,601,641,523,381,696,863,656,
694,218,466,640,118,734,983,482,278,378,166,356,643,949,881,540,031,938,413,
356,321,339,741,892,885,356,201,991,828,016,659,983,197,219,130,956,977,012,
631,186,233,710,151,242,870,311,395,755,967,827,414,109,302,466,226,316,625,
340,608,547,077,514,452,372,249,413,070,932,899,957,510,420,258,236,265,835,
069,403,791,107,569,244,273,889,065,095,161,521,121,865,075,040,058,566,019,
696,798,562,833,003,550,679,218,386,855,985,190,443,591,294,506,157,672,020,
329,826,388,355,258,220,304,962,290,638,063,619,047,793,956,775,600,125,686,
644,333,958,912,415,546,188,141,917,539,925,332,216,524,963,361,659,067,831,
986,319,781,254,134,831,665,321,238,749,011,604,696,450,313,970,874,999,984,
918,422,376,566,245,679,836,875,624,408,291,252,599,774,124,563,311,611,156,
104,035,264,437,641,201,011,695,384,562,066,299,999,891,689,277,532,999,748,
499,896,250,844,169,690,967,812,754,265,863,928,809,659,828,254,388,756,345,
447,760,407,100,990,396,302,775,927,790,965,848,780,015,757,496,437,804,893,
799,770,269,156,574,541,065,419,118,742,866,792,351,272,189,608,407,612,144,
192,619,267,938,838,012,622,329,124,293,484,915,221,799,545,020,809,490,265,
354,872,584,069,239,471,105,329,547,715,938,342,171,508,314,584,443,987,246,
174,354,258,181,891,341,735,097,616,284,993,897,850,058,214,522,601,942,779,
719,138,729,399,738,675,427,865,716,101,896,361,187,143,998,265,020,396,789,
554,314,489,825,818,118,896,741,469,559,350,567,048,234,712,359,898,835,126,
117,830,778,552,386,360,459,693,133,371,458,070,699,640,980,275,085,675,222,
018,946,868,788,740,557,031,052,225,156,400,234,057,911,504,712,612,626,095,
998,645,717,904,307,662,527,580,140,780,814,641,916,732,574,157,712,482,945,
311,271,190,698,758,418,093,586,645,548,070,838,283,418,081,377,701,769,798,
940,818,372,499,744,143,145,072,041,892,114,748,179,845,179,004,093,107,132,
279,303,081,765,902,083,450,008,651,038,165,702,777,352,127,621,096,474,702,
767,837,919,147,839,549,931,130,847,122,565,057,810,105,831,933,089,070,763,
035,186,823,235,949,147,183,289,759,287,289,171,702,042,927,499,651,066,168,
047,807,801,945,517,497,468,114,820,429,093,484,269,025,676,118,663,684,016,
841,711,877,645,768,709,558,660,557,090,958,900,601,779,031,516,252,504,247,
231,363,453,838,981,497,506,918,362,234,596,808,624,803,448,116,547,348,141,
270,075,643,189,450,403,466,572,834,842,400,646,640,738,422,178,067,833,509,
440,917,574,490,392,057,623,264,722,644,006,521,406,052,088,731,892,275,500,
763,570,683,971,960,333,906,253,406,670,692,528,076,000,916,933,424,607,819,
537,197,435,715,948,058,631,105,880,085,076,577,745,202,422,585,453,606,636,
631,295,604,708,815,497,759,577,959,926,329,221,940,419,268,735,462,663,580,
185,444,436,014,530,712,442,264,889,783,819,182,627,847,325,839,397,522,221,
156,919,012,944,177,084,053,189,619,173,676,475,762,111,562,142,233,346,618,
146,265,853,680,294,148,051,197,504,872,104,956,563,259,038,864,983,729,033,
603,420,245,401,586,995,075,368,949,479,929,853,208,382,405,367,501,818,862,
385,470,038,283,271,948,359,530,805,391,337,116,149,617,203,613,594,944,118,
989,660,537,313,958,884,369,512,064,900,796,777,590,946,139,160,055,755,223,
670,528,088,260,127,813,231,150,015,110,394,275,089,008,277,621,163,204,991,
299,966,330,701,970,013,429,256,162,158,995,215,112,218,170,298,547,163,857,
010,141,430,744,449,929,246,453,252,123,622,200,422,362,408,144,014,520,689,
617,746,440,606,369,117,157,424,640,713,642,544,161,410,882,863,827,172,265,
647,745,559,769,312,545,410,922,031,435,657,550,673,221,825,865,777,893,539,
192,254,221,111,257,540,205,929,514,012,652,777,483,282,851,401,385,090,427,
531,891,299,209,545,050,627,221,233,257,511,362,913,043,081,042,272,574,321,
653,163,499,012,282,701,970,685,805,772,530,220,442,431,554,155,247,086,909,
608,339,954,972,842,883,133,392,383,755,582,033,455,827,011,466,195,921,683,
316,492,461,191,530,923,797,021,855,474,819,455,350,191,841,414,436,867,415,
588,078,465,573,417,108,454,761,037,370,999,710,863,584,197,877,246,179,433,
080,430,577,738,536,642,017,820,515,887,370,698,745,677,209,597,550,156,670,
135,656,552,526,898,498,145,009,689,581,166,515,353,181,071,374,181,393,796,
671,782,785,019,952,785,283,188,491,309,291,189,948,898,873,677,201,553,198,
985,430,717,043,211,874,243,993,881,525,415,188,000,172,596,595,238,737,556,
311,357,793,877,101,323,607,954,525,641,178,392,087,707,070,254,531,078,753,
015,613,216,624,696,657,178,126,764,746,307,873,625,128,698,329,461,337,082,
876,237,176,800,629,104,890,146,259,087,899,036,226,696,217,205,306,130,890,
348,519,035,500,182,305,336,260,819,192,167,393,509,926,566,088,716,195,336,
266,237,794,749,970,266,094,579,624,470,041,354,150,816,077,248,698,798,181,
459,543,508,918,329,383,917,328,672,767,527,237,686,297,970,503,495,729,069,
005,765,103,713,411,047,715,952,795,973,908,464,241,735,810,684,041,754,119,
937,222,476,577,933,260,706,293,275,667,694,786,958,089,769,975,835,564,389,
356,808,626,749,220,742,938,753,438,765,014,930,464,083,393,145,484,374,351,
164,367,222,356,173,689,875,434,843,564,791,898,569,707,236,937,986,327,232,
832,688,488,259,340,594,956,652,732,893,028,113,452,576,830,367,106,522,135,
644,236,788,098,986,869,210,018,898,668,005,525,840,382,426,926,377,879,710,
190,914,044,006,505,816,253,198,090,371,822,216,595,442,861,454,386,657,531,
472,060,832,401,811,610,884,203,046,279,627,537,149,165,307,889,399,059,491,
581,315,949,182,447,635,182,338,964,847,891,505,607,237,756,166,265,516,650,
612,062,455,876,193,420,687,634,980,440,214,522,752,893,507,365,205,914,784,
877,400,770,762,349,234,921,154,354,760,382,495,904,700,932,885,780,828,954,
959,042,083,859,576,998,780,630,910,340,492,543,095,286,901,875,657,886,093,
221,485,596,802,258,189,662,765,701,617,350,443,995,454,460,601,255,342,167,
386,579,892,894,616,550,507,765,661,477,858,443,152,439,780,855,912,477,233,
484,913,635,820,203,945,455,619,579,566,588,181,283,279,662,434,097,009,838,
589,461,188,282,234,451,359,738,444,544,417,526,237,032,832,569,547,979,059,
196,526,748,109,492,747,848,276,259,345,950,405,451,041,378,625,421,617,831,
306,641,909,933,414,121,437,486,869,363,040,200,957,366,049,794,524,334,943,
638,149,335,495,182,195,015,384,141,397,029,962,951,385,500,557,054,485,101,
221,784,485,737,570,680,905,491,980,516,301,592,021,720,278,364,278,575,692,
737,821,877,203,535,825,345,879,867,616,893,865,897,300,544,993,167,085,373,
164,207,233,285,900,928,608,919,160,405,135,059,467,167,819,011,379,560,226,
278,790,148,975,000,409,205,947,502,491,441,335,529,753,039,100,882,311,007,
934,014,322,223,072,389,974,006,099,029,400,035,113,606,608,632,859,392,583,
637,467,294,846,599,483,365,650,040,525,994,836,350,276,190,633,540,481,698,
500,924,599,449,127,733,660,534,322,288,642,330,613,017,309,778,002,381,907,
783,339,391,124,822,475,002,844,721,905,215,732,753,703,596,000,004,957,026,
434,258,722,804,801,546,359,293,848,729,380,786,171,136,003,158,518,483,376,
546,830,287,295,824,465,081,543,135,864,694,455,240,788,664,037,051,068,826,
132,512,522,757,631,613,786,129,335,428,061,177,917,927,968,499,945,260,853,
114,635,601,205,581,092,878,908,806,993,981,476,464,194,236,914,081,733,455,
213,483,330,750,569,334,326,769,590,411,554,277,921,146,002,551,851,337,239,
777,186,854,780,320,528,854,345,192,644,058,832,433,433,569,432,519,996,843,
782,519,873,300,101,205,548,134,144,970,148,553,947,301,750,395,187,463,874,
938,296,879,625,430,538,305,370,834,342,198,995,188,416,957,045,810,571,289,
357,542,280,720,106,935,003,774,751,710,468,037,875,737,210,952,073,628,803,
424,698,482,855,577,780,681,545,718,231,122,090,152,200,261,552,405,845,957,
924,430,372,024,861,500,419,366,069,295,398,246,317,382,189,265,989,828,826,
291,905,562,860,394,240,892,075,863,415,110,479,162,580,842,560,422,213,054,
578,111,635,297,372,097,168,811,142,951,700,814,566,612,585,651,099,463,733,
460,818,578,716,567,787,253,253,753,398,698,331,831,599,597,620,349,445,805,
776,051,026,685,468,740,769,146,240,621,571,779,627,838,983,814,339,372,765,
129,899,659,472,023,218,401,109,102,072,499,812,014,341,463,171,007,492,252,
020,668,732,889,773,450,242,130,560,059,339,390,589,783,234,087,024,372,162,
717,521,292,841,155,455,962,220,279,333,633,005,978,196,094,833,064,337,604,
517,776,393,841,129,289,982,051,949,851,450,385,265,665,648,011,058,070,402,
263,517,615,879,573,350,651,756,620,551,193,661,049,676,558,692,776,676,178,
319,447,806,541,499,872,991,397,345,501,513,792,631,877,758,660,920,257,482,
171,928,076,023,053,143,946,295,789,242,659,586,952,518,513,159,690,086,661,
488,453,507,198,268,445,652,812,575,699,058,990,395,123,470,385,559,567,614,
799,659,112,975,959,654,574,710,948,726,100,479,791,323,896,704,207,372,771,
971,268,883,383,313,652,025,101,590,052,465,986,470,355,984,817,778,975,165,
896,774,193,426,063,254,460,571,432,440,016,969,194,807,551,877,982,848,928,
414,569,563,952,886,189,843,260,899,727,346,039,078,626,557,700,520,174,296,
453,519,636,850,416,514,754,766,575,013,225,949,562,861,894,438,138,571,597,
646,362,870,168,405,134,105,633,447,920,798,682,995,727,665,823,519,283,143,
185,014,666,040,275,259,549,568,070,796,751,883,107,645,723,527,496,260,639,
278,490,828,185,217,945,242,059,441,100,890,774,571,545,716,522,260,129,146,
338,115,373,560,862,951,079,468,749,189,629,665,231,629,237,671,225,563,198,
898,618,685,621,669,508,374,591,873,127,912,857,073,574,741,845,040,612,530,
607,325,088,261,308,273,015,781,024,015,494,588,848,664,324,625,882,680,065,
322,640,395,406,208,730,313,813,455,700,884,070,516,802,381,101,935,708,047,
818,616,322,165,115,186,606,447,591,006,945,111,833,220,469,315,712,558,549,
752,515,790,610,471,816,106,517,171,814,346,730,035,647,060,831,098,988,639,
277,008,816,089,572,097,364,814,135,355,391,016,590,840,300,696,600,502,753,
204,109,549,648,483,072,139,026,740,484,145,000,008,520,841,154,581,397,037,
992,955,367,612,494,437,608,711,781,925,426,311,775,642,602,298,770,439,200,
244,705,583,510,605,995,704,266,456,052,814,181,209,040,947,054,165,255,103,
350,353,625,107,139,469,572,867,709,384,469,191,307,808,519,843,425,078,744,
985,663,191,794,667,830,440,257,697,007,879,582,911,355,384,140,808,937,129,
542,771,884,244,663,251,122,584,001,994,764,505,770,141,413,973,457,778,688,
891,927,874,862,459,127,753,076,248,417,862,069,973,325,426,191,952,656,873,
019,656,741,016,094,865,238,592,566,448,292,317,655,047,421,118,729,841,707,
843,451,415,848,596,560,256,293,862,183,463,763,097,184,477,774,621,478,057,
186,936,021,470,617,607,530,665,753,484,691,729,175,190,030,358,204,975,200,
342,520,044,518,352,010,884,998,193,814,290,013,839,116,275,976,816,573,565,
197,556,301,987,884,389,091,349,461,085,899,813,343,814,541,493,258,402,956,
687,465,059,086,282,258,933,461,909,270,167,074,908,297,292,846,348,561,191,
036,366,394,240,538,046,822,383,862,332,328,798,292,575,927,638,215,476,738,
147,026,214,031,212,480,550,730,465,867,454,987,834,317,054,897,364,286,961,
077,905,134,262,888,285,745,387,486,900,159,853,958,836,383,150,386,120,296,
997,656,705,718,039,885,931,047,263,874,501,002,174,021,078,955,692,924,617,
987,324,874,625,452,461,288,009,175,574,439,834,556,309,356,068,832,497,108,
644,395,819,064,178,288,626,969,542,351,028,503,696,190,757,349,266,687,361,
978,202,309,889,045,379,555,185,809,312,764,559,586,548,996,356,664,434,891,
648,690,179,230,577,021,741,656,283,638,822,545,021,092,881,848,242,934,561,
386,566,784,752,499,993,787,419,549,402,542,986,736,927,094,539,857,188,666,
954,168,658,008,857,941,811,003,580,618,882,217,198,692,389,978,705,181,754,
715,243,100,847,660,992,920,337,991,934,184,253,373,905,892,589,398,962,291,
612,656,697,055,009,843,160,200,273,982,068,032,300,505,282,130,347,438,271,
959,192,627,062,363,517,246,282,397,517,528,613,042,884,351,671,396,350,358,
422,373,578,831,034,161,214,811,584,051,617,628,731,755,098,684,186,893,925,
704,797,125,252,463,867,024,384,209,364,622,800,645,280,412,813,662,170,591,
761,164,287,994,266,815,972,903,283,632,175,657,814,494,252,193,320,879,759,
897,317,698,059,857,325,531,874,517,395,930,182,068,452,894,431,438,927,596,
789,740,397,159,357,112,794,700,162,058,478,599,160,777,042,360,872,015,421,
702,211,028,505,604,484,618,005,892,339,937,310,564,439,862,938,165,337,115,
849,291,855,779,822,738,364,006,797,896,274,753,582,073,931,999,385,131,521,
022,480,403,815,517,604,255,859,084,588,566,369,880,505,140,979,918,813,498,
607,799,027,306,654,529,013,095,837,234,644,295,341,486,118,166,802,210,429,
213,020,580,475,839,609,246,860,307,315,933,728,803,882,448,067,799,602,745,
764,826,319,819,867,673,833,576,058,807,969,676,079,743,962,006,821,128,671,
824,757,258,494,561,797,652,042,778,329,675,279,156,276,886,850,136,977,724,
487,956,675,550,581,453,084,947,678,936,401,820,678,061,871,020,770,725,878,
130,610,591,530,777,049,959,148,588,646,332,604,799,587,991,449,596,843,506,
557,540,296,060,825,401,103,754,361,258,093,290,603,708,870,107,180,369,465,
884,498,829,206,915,355,537,349,000,795,241,458,785,009,202,475,215,836,754,
609,708,751,643,283,329,347,823,994,699,516,096,352,169,215,872,735,451,014,
652,195,213,265,567,836,578,839,711,924,354,083,684,020,526,938,347,079,076,
218,936,148,975,790,541,837,985,225,662,486,897,705,727,023,048,827,454,318,
819,668,143,739,700,142,810,482,089,545,553,008,281,837,281,706,445,473,400,
815,705,220,153,210,092,656,236,789,032,776,241,536,439,513,281,735,582,710,
132,849,680,916,526,492,328,833,367,750,183,742,544,196,736,805,895,885,293,
814,256,296,015,178,267,836,133,862,071,898,405,219,766,157,146,563,149,257,
413,041,981,691,393,024,196,230,360,771,418,638,507,515,491,231,014,626,805,
837,119,280,238,787,645,373,632,398,576,175,906,257,191,885,857,399,879,767,
630,518,885,030,593,743,621,171,603,968,686,068,984,817,704,710,278,635,442,
462,864,795,743,250,842,583,696,388,159,463,659,461,807,337,325,224,821,027,
211,328,845,832,096,943,389,789,085,823,763,142,233,860,397,100,364,344,758,
663,807,609,876,697,919,467,504,419,199,736,597,431,185,900,712,233,310,941,
270,197,371,729,659,863,957,795,159,531,829,176,944,394,719,334,850,733,258,
464,452,826,041,304,617,466,734,948,228,510,318,234,150,388,198,694,634,873,
107,642,629,373,759,964,461,311,270,833,524,977,054,142,894,185,871,482,644,
841,599,101,389,976,696,875,119,808,044,074,131,123,513,384,702,381,725,511,
330,612,166,033,568,646,391,034,140,704,817,914,483,236,479,558,568,433,981,
362,809,853,384,296,479,294,890,836,957,385,029,217,415,808,762,933,912,330,
061,446,645,332,087,657,383,407,127,664,848,047,061,107,422,989,269,374,653,
974,503,109,947,584,228,160,234,373,444,518,006,056,398,536,968,845,548,355,
272,225,724,786,467,168,994,002,086,712,453,547,130,570,845,236,723,142,439,
159,844,943,231,005,736,104,555,703,973,955,058,200,595,438,809,916,442,734,
245,081,344,324,829,054,054,707,292,179,736,715,588,467,619,636,137,898,210,
695,909,717,179,047,983,491,682,125,518,948,928,898,916,012,424,291,237,928,
049,152,560,681,819,512,710,056,531,659,608,553,001,297,733,557,586,655,029,
048,113,472,858,883,704,697,361,185,361,560,114,466,878,741,606,379,565,630,
114,686,410,808,379,635,409,221,427,844,390,297,856,855,928,852,700,035,357,
329,225,767,457,640,227,429,848,928,451,250,635,368,283,143,172,519,453,521,
229,122,827,545,287,269,729,290,213,885,547,007,554,549,506,666,773,894,193,
165,368,540,868,588,385,809,525,193,007,562,660,228,932,226,307,449,469,767,
657,545,784,408,016,968,476,689,317,466,424,146,615,911,832,854,167,155,547,
910,521,900,714,034,486,772,520,508,260,145,381,520,734,012,914,510,947,132,
250,134,871,244,731,983,869,572,805,367,259,978,029,931,410,044,988,546,744,
885,375,965,077,887,642,868,297,648,142,430,296,146,253,162,864,842,705,200,
069,577,993,492,036,229,850,331,529,619,899,827,866,085,191,459,077,233,453,
652,859,550,234,868,582,828,598,054,923,170,810,183,859,169,134,633,063,599,
345,677,540,500,594,751,644,453,728,003,289,950,200,865,235,737,155,233,700,
568,463,010,577,207,514,536,443,187,891,173,550,372,963,419,772,628,835,761,
555,651,804,694,445,558,578,303,087,931,799,236,734,540,846,068,978,181,393,
017,373,002,372,460,473,549,593,599,590,505,561,358,603,741,041,441,980,114,
163,287,072,088,530,783,077,706,563,899,310,243,500,941,240,820,126,697,000,
370,842,365,074,973,691,870,808,724,573,834,537,193,089,499,143,403,710,973,
103,703,045,313,496,992,717,199,224,648,454,008,288,852,726,422,137,278,381,
337,959,449,025,060,455,633,451,159,640,110,627,092,017,346,090,177,495,716,
608,324,716,073,226,089,063,655,277,497,568,653,773,552,798,090,665,444,029,
262,901,839,987,501,623,110,836,561,481,847,490,161,816,052,870,104,289,722,
527,284,909,532,747,277,189,861,259,476,486,413,873,264,991,292,006,507,479,
327,309,333,006,979,404,395,342,576,121,557,813,467,303,076,331,152,753,457,
035,635,664,556,362,999,363,996,451,894,451,130,308,254,692,042,768,703,677,
667,032,829,800,417,365,566,657,339,572,594,799,020,812,989,694,136,151,224,
868,565,529,305,970,271,216,305,559,804,415,720,485,063,541,287,817,314,839,
899,124,811,737,790,581,730,723,204,861,723,722,614,136,314,220,248,737,909,
159,055,135,738,811,893,847,627,494,770,680,336,161,610,586,076,888,774,483,
847,315,869,883,298,489,430,815,086,519,717,968,956,457,085,207,106,679,375,
411,436,886,295,158,173,524,838,641,907,581,924,148,584,021,745,505,850,528,
630,610,154,803,039,796,942,309,171,523,414,344,585,830,688,729,109,022,302,
358,318,514,867,405,879,995,173,984,323,145,076,324,285,810,605,977,396,989,
057,688,563,122,529,235,598,192,390,874,955,197,438,747,118,864,279,492,259,
947,022,339,476,183,354,780,920,137,867,211,003,932,048,563,648,149,304,818,
715,863,418,257,772,087,716,629,765,233,889,421,104,808,477,778,033,098,763,
695,480,972,871,727,200,792,832,823,755,545,034,697,608,356,886,568,531,567,
207,051,411,220,678,176,591,464,568,660,031,704,786,598,418,706,473,086,933,
875,415,044,767,318,059,847,422,181,718,272,335,113,514,006,354,407,446,129,
414,252,382,920,748,267,955,848,258,892,407,002,621,683,858,816,672,890,556,
062,948,606,587,433,431,044,466,335,661,642,909,904,669,227,362,508,175,508,
283,834,828,819,268,970,820,030,168,145,625,072,657,328,269,951,963,036,037,
605,106,227,082,005,741,391,877,133,789,442,041,562,495,328,801,474,299,814,
679,339,818,782,815,215,543,815,532,095,840,332,165,080,452,035,265,660,750,
465,536,078,697,991,735,339,174,292,352,218,965,825,692,352,656,022,000,644,
331,829,739,899,822,621,795,710,318,859,381,669,269,043,407,991,540,886,034,
585,647,213,437,335,287,609,314,035,220,826,077,747,042,369,758,814,658,026,
211,532,259,512,924,459,601,859,506,456,214,391,946,485,524,779,969,740,586,
962,603,370,400,766,215,812,035,000,358,567,944,196,450,011,037,591,763,968,
115,013,323,761,776,831,523,596,207,251,323,166,103,682,587,455,985,896,619,
313,622,272,104,062,045,799,711,177,563,503,733,451,549,481,860,758,665,265,
467,476,806,468,602,204,096,963,480,073,452,613,308,828,106,000,521,372,487,
468,132,071,239,657,340,835,463,861,257,688,207,953,227,746,881,650,491,302,
535,402,151,068,420,722,018,411,506,215,801,988,966,752,537,476,837,147,939,
439,613,618,741,206,549,651,564,005,739,098,011,424,543,629,938,725,812,376,
785,247,321,909,620,834,423,745,486,693,679,823,629,385,254,454,064,547,264,
294,617,125,587,988,708,031,230,507,068,730,833,321,093,581,673,792,053,347,
801,403,645,917,281,615,274,989,973,464,442,709,974,814,432,727,495,761,248,
690,546,984,763,730,543,671,590,409,808,464,193,061,121,427,624,557,192,404,
331,787,691,333,297,674,539,302,041,372,967,140,615,724,647,859,729,578,848,
525,301,513,418,895,307,177,740,216,455,079,194,616,963,677,069,179,611,683,
890,621,665,723,564,177,750,881,283,129,825,953,916,761,797,303,609,257,634,
078,889,040,872,500,979,069,706,084,431,576,511,241,261,657,699,851,935,232,
114,401,121,240,955,124,199,677,420,000,035,181,185,958,779,412,989,696,635,
708,170,260,896,849,883,578,441,661,309,273,524,560,595,694,196,550,711,203,
641,747,791,342,657,027,967,836,146,064,592,341,675,601,876,913,842,652,488,
199,696,542,805,706,428,746,045,436,010,979,161,396,657,917,235,124,136,491,
911,591,413,755,734,246,427,568,590,988,485,480,656,634,304,328,912,431,319,
934,701,847,426,451,826,828,850,896,160,662,269,231,093,864,195,700,811,877,
239,362,272,824,900,508,671,167,037,525,065,551,162,220,098,688,437,837,015,
142,331,751,300,984,565,453,022,475,831,758,391,331,275,346,901,362,712,343,
413,877,893,306,095,962,553,733,705,763,953,624,041,749,822,043,086,571,477,
313,830,867,543,364,861,824,911,184,324,581,144,761,919,953,392,402,450,841,
354,493,129,254,057,209,807,599,334,348,836,358,814,594,176,673,217,680,793,
275,138,883,120,476,303,847,315,489,043,096,616,316,944,855,972,259,831,656,
624,115,022,833,550,863,945,266,659,539,603,495,284,129,068,191,294,979,736,
047,203,748,503,754,054,552,182,864,381,762,916,752,685,054,022,772,869,145,
494,050,732,317,144,601,115,948,067,456,443,199,662,811,321,217,837,989,794,
495,853,833,387,199,435,258,398,854,150,097,845,994,003,645,847,247,606,024,
948,384,025,529,829,296,642,316,859,103,935,412,022,751,047,270,007,789,665,
299,717,891,573,311,100,271,649,037,707,665,283,486,950,768,520,795,000,384,
460,504,095,415,061,658,854,412,399,098,884,825,360,359,392,019,046,964,919,
883,489,906,182,108,740,946,825,498,356,511,250,441,085,884,023,155,260,367,
001,210,726,463,965,228,439,300,744,074,040,560,077,613,229,119,941,939,842,
602,963,804,206,361,103,805,171,784,067,907,885,383,340,036,669,443,917,830,
339,269,816,404,105,519,497,162,708,031,957,922,622,351,242,624,543,450,943,
948,852,006,989,305,245,574,016,789,007,722,407,801,073,857,104,200,153,493,
076,318,271,797,780,012,062,097,390,471,426,218,246,416,330,135,623,480,922,
255,413,039,513,127,425,339,620,061,895,483,982,267,737,221,252,993,396,399,
495,000,613,373,573,504,569,868,403,839,156,722,084,788,408,743,263,415,444,
122,727,424,573,123,263,770,287,882,512,346,308,664,509,985,432,058,252,321,
269,872,285,261,303,608,928,234,208,591,766,334,504,947,125,966,961,472,768,
290,076,855,263,438,507,502,088,604,321,365,033,577,422,804,946,931,720,215,
599,771,024,522,510,130,270,446,361,844,143,129,044,584,245,184,083,527,126,
400,327,885,577,081,685,632,684,383,007,142,642,745,559,255,117,697,742,339,
137,470,809,036,662,463,847,439,588,139,222,123,165,351,745,313,652,626,591,
053,355,079,883,577,453,600,903,293,435,998,146,544,008,632,011,382,439,106,
491,273,964,673,326,094,589,285,241,925,960,400,650,549,198,189,553,077,224,
747,876,782,124,834,777,080,448,591,880,688,590,249,668,910,491,705,709,810,
095,025,006,905,330,750,648,493,625,344,814,804,027,861,015,529,988,782,697,
796,581,407,418,296,508,912,028,937,925,337,542,859,296,636,260,448,322,304,
484,976,176,185,282,993,856,631,808,558,483,138,305,705,648,240,846,918,445,
897,678,156,168,291,376,079,128,259,661,037,470,304,287,842,930,830,594,298,
992,221,718,205,901,699,653,319,045,802,851,207,920,896,296,315,086,651,148,
087,171,532,353,580,326,360,945,724,958,423,181,350,308,968,848,254,210,016,
266,182,121,965,011,846,911,536,964,064,502,595,282,381,434,564,858,430,765,
886,543,619,292,077,479,813,730,891,768,490,415,451,014,167,483,268,308,092,
100,207,586,753,579,336,079,113,093,818,332,808,531,120,170,753,975,888,523,
304,165,995,056,739,017,337,976,130,168,165,564,694,576,366,431,377,061,157,
665,362,061,577,516,188,685,105,743,654,256,739,296,654,847,809,597,614,874,
819,315,006,729,263,116,562,367,219,198,558,893,132,456,366,168,678,441,517,
989,549,616,261,611,035,230,603,027,234,415,814,567,445,345,443,383,063,803,
164,912,703,200,272,610,470,397,148,277,298,173,039,396,137,472,169,244,197,
128,791,930,820,363,209,521,950,153,529,822,238,016,131,310,130,560,295,048,
787,163,490,330,317,972,450,824,686,885,315,109,973,455,229,294,201,925,809,
450,259,302,311,332,861,585,006,097,992,890,835,261,210,995,760,379,042,234,
381,185,995,802,337,355,893,052,131,453,507,703,527,210,993,293,931,196,656,
584,745,913,235,701,618,661,169,150,582,418,655,197,129,767,879,097,004,003,
534,379,334,982,459,567,367,313,205,978,778,031,570,491,135,564,734,431,759,
171,745,800,331,423,497,959,260,535,607,219,051,961,892,058,326,762,388,540,
041,125,083,461,934,373,184,899,005,852,728,828,985,592,058,465,943,774,527,
023,250,155,875,750,463,346,297,892,812,257,929,649,618,832,849,745,490,728,
091,023,307,937,166,667,329,243,528,023,584,675,120,123,197,228,693,208,208,
307,417,607,521,050,840,377,238,240,078,079,107,626,449,134,648,185,878,289,
708,071,462,041,568,782,372,845,692,028,124,541,831,420,433,085,260,186,303,
421,390,928,326,650,047,674,949,459,968,301,327,007,497,877,222,729,769,645,
902,029,055,157,735,969,090,086,061,641,736,049,946,225,889,375,590,232,931,
352,992,982,476,022,066,063,267,391,770,240,550,506,625,720,521,242,509,340,
710,242,970,384,206,839,084,129,157,918,520,257,224,443,366,258,346,215,347,
501,862,605,903,301,607,699,431,713,095,015,870,875,699,543,157,550,163,592,
276,162,616,991,558,622,333,068,696,363,250,271,713,478,064,541,374,022,998,
307,021,781,111,777,748,977,876,428,259,601,041,326,104,679,824,595,077,216,
874,864,308,582,471,324,106,774,966,548,324,061,570,696,657,639,039,075,096,
880,476,060,714,427,823,315,211,371,621,741,779,344,635,946,063,764,420,495,
597,313,507,131,777,809,416,339,566,963,021,881,404,975,098,692,525,362,267,
648,960,318,627,362,262,365,247,411,336,109,988,459,291,845,235,665,758,729,
942,382,639,774,753,675,787,019,487,455,001,901,872,852,776,017,759,231,960,
892,350,035,380,432,732,399,983,376,996,200,402,810,770,468,536,502,287,455,
458,345,334,657,156,740,764,042,884,445,638,437,554,143,102,004,578,300,963,
395,454,087,603,258,931,920,947,605,385,158,252,672,417,256,173,241,923,777,
999,255,436,428,644,928,696,398,350,944,418,709,943,463,204,828,685,227,999,
907,682,188,751,004,483,397,013,994,034,901,623,156,951,031,716,091,620,538,
877,187,161,840,487,459,148,223,905,942,965,920,854,455,352,872,200,789,183,
874,284,632,003,386,741,751,254,673,835,173,503,846,970,044,298,362,975,711,
399,731,261,923,870,881,656,909,884,666,038,580,126,942,257,358,252,115,474,
887,540,769,084,552,545,814,037,788,675,111,086,231,160,845,236,039,274,846,
118,564,972,266,056,045,203,941,761,785,305,345,673,100,117,377,805,398,778,
412,524,979,887,138,511,393,557,464,975,458,707,968,182,279,819,527,378,909,
797,098,386,670,141,207,903,674,373,453,248,639,364,766,992,481,220,822,556,
961,592,170,132,854,273,538,720,738,335,091,406,297,839,043,664,549,100,826,
228,397,916,131,775,756,659,358,285,181,973,499,508,529,330,118,695,327,248,
890,080,249,109,234,824,175,645,267,161,329,194,534,972,200,649,419,929,216,
440,949,417,563,778,211,863,210,229,039,742,461,149,685,584,467,819,002,468,
020,706,308,316,894,177,205,512,554,649,070,087,880,344,885,603,421,297,496,
566,074,523,484,870,143,723,411,611,004,978,487,547,731,091,226,283,619,027,
227,516,998,211,876,059,638,569,651,909,194,780,571,136,862,103,452,372,020,
993,647,554,494,486,554,713,731,059,003,409,615,866,496,973,183,307,403,686,
973,760,536,573,617,481,282,315,799,210,569,039,508,319,454,793,430,349,186,
024,367,737,011,962,451,031,013,056,287,217,938,773,158,577,975,716,503,916,
558,461,538,936,380,196,052,819,100,270,868,480,178,962,246,145,913,317,038,
915,081,361,828,758,940,938,451,186,068,482,254,459,886,170,501,323,627,072,
713,489,850,410,866,210,254,499,771,955,338,683,489,990,433,003,141,823,070,
238,211,232,052,857,938,989,480,858,524,834,512,684,992,435,468,454,196,638,
065,901,670,781,801,165,095,510,023,649,592,647,792,284,897,768,060,324,468,
181,724,109,453,482,642,041,095,925,842,072,313,881,542,088,260,541,426,632,
302,486,529,302,369,074,377,532,781,095,272,370,627,932,505,676,375,836,268,
682,345,460,109,577,777,165,909,208,476,515,960,468,152,057,509,192,042,112,
534,022,969,604,303,826,929,442,330,134,461,115,235,066,560,630,883,470,143,
744,093,610,094,904,663,203,126,142,558,238,702,102,079,287,831,573,380,817,
912,260,752,003,357,737,719,703,574,540,982,196,762,459,565,187,787,336,007,
705,843,584,632,354,451,091,205,146,719,323,198,155,825,767,007,312,438,334,
307,560,696,388,795,845,582,769,483,302,757,489,067,076,331,161,146,324,342,
325,407,798,386,144,266,863,887,007,684,749,906,687,450,252,001,702,800,309,
184,086,379,154,017,091,568,571,111,589,983,505,458,737,359,133,114,088,536,
480,966,446,411,817,133,834,755,935,799,418,964,163,850,731,167,839,109,017,
820,282,825,550,342,221,562,380,349,436,081,572,979,647,944,933,712,006,553,
345,124,131,324,508,800,109,425,908,251,156,789,194,879,856,376,345,364,846,
518,763,955,580,079,441,155,675,734,057,221,243,040,358,082,881,794,431,346,
824,460,713,715,747,320,291,773,598,670,047,566,581,352,065,485,364,268,007,
164,598,467,535,504,085,874,257,832,814,302,930,911,651,051,225,204,477,273,
044,246,649,213,958,434,933,554,427,929,681,665,003,648,922,083,352,461,731,
800,264,231,459,339,151,205,171,083,561,988,752,108,321,866,531,671,237,277,
642,869,689,856,144,876,696,350,769,532,164,587,708,139,520,969,726,125,795,
087,787,940,905,616,992,856,043,659,825,629,094,162,763,253,086,429,186,352,
962,718,255,824,663,798,928,506,986,074,189,573,316,672,751,048,716,440,782,
471,660,100,312,750,573,625,606,296,664,223,820,508,276,383,928,338,889,773,
703,956,897,457,721,166,448,207,110,939,464,379,078,856,680,411,268,925,825,
074,500,535,288,111,331,153,847,202,321,459,097,424,744,565,886,133,661,303,
269,229,707,571,468,631,112,017,157,033,802,777,526,155,864,508,496,623,627,
781,816,971,486,402,445,083,132,390,862,120,787,369,450,775,347,698,492,832,
086,883,915,645,861,195,221,102,127,461,189,627,681,399,441,646,384,187,503,
650,307,338,123,779,854,076,042,016,245,119,504,855,183,528,313,700,333,582,
297,255,744,631,233,892,530,232,495,365,684,566,822,861,515,376,322,941,303,
324,702,092,048,190,179,128,309,439,093,896,996,144,429,668,059,426,362,989,
342,313,426,220,013,063,067,518,466,877,525,359,217,904,378,745,545,046,614,
678,009,814,753,773,625,303,161,458,910,510,192,900,643,298,454,584,397,400,
358,986,758,031,374,302,738,287,476,816,058,460,079,842,790,329,765,981,894,
351,285,934,108,864,415,483,054,376,025,746,027,784,504,871,776,082,183,854,
352,369,295,957,085,826,383,315,619,867,207,592,937,983,423,838,354,219,929,
604,651,941,444,863,740,005,652,753,812,943,222,817,517,921,861,381,720,245,
014,554,447,315,044,655,368,480,443,337,210,642,174,922,708,630,814,494,645,
322,859,007,987,755,344,605,627,922,410,868,383,659,712,687,964,693,463,362,
882,885,737,425,997,247,031,149,402,375,430,962,201,645,605,353,569,031,443,
266,991,199,076,990,412,056,182,903,854,837,338,590,345,393,742,242,812,149,
820,157,422,051,289,957,292,738,845,836,042,324,162,394,841,642,216,787,221,
165,232,954,502,115,169,358,168,763,859,794,933,789,836,382,798,813,400,655,
058,032,469,604,817,439,715,140,659,664,445,354,372,546,273,815,117,482,833,
894,875,548,829,144,778,987,725,336,584,648,660,110,813,461,192,676,864,753,
363,762,233,330,763,435,522,354,295,376,754,403,091,065,198,740,078,276,318,
410,248,445,941,614,961,137,876,486,163,903,487,227,547,885,424,707,801,312,
971,436,216,213,865,875,904,411,180,964,233,126,805,748,798,882,781,235,084,
971,619,776,498,449,382,510,454,607,698,541,811,632,951,807,577,556,619,269,
801,994,612,593,488,272,521,962,025,898,353,853,447,109,481,545,656,444,684,
503,471,602,378,220,473,784,033,373,460,062,890,450,984,645,155,208,641,267,
054,199,919,649,151,989,059,908,473,684,967,777,969,567,058,150,424,444,286,
028,706,446,183,844,475,420,526,565,547,769,550,350,703,600,679,107,324,328,
210,279,264,671,090,397,151,675,485,381,844,231,252,432,772,880,674,022,448,
009,864,992,283,152,886,294,999,247,957,783,302,089,314,680,084,596,648,442,
785,624,684,738,606,611,353,286,279,684,258,444,728,187,654,983,702,348,392,
397,711,514,179,657,383,860,358,917,961,351,067,551,606,289,804,839,344,388,
709,920,625,783,071,659,637,409,550,519,991,074,522,880,925,281,461,975,132,
335,071,084,060,653,205,562,839,853,954,683,984,077,156,770,647,050,525,716,
256,623,291,759,231,648,816,166,239,227,363,472,870,343,152,632,922,494,407,
124,081,502,448,017,543,554,393,277,498,177,966,519,773,026,202,380,648,486,
634,651,656,168,187,843,441,322,563,686,542,348,581,782,428,100,731,819,532,
882,258,399,622,265,187,346,529,988,447,336,587,110,613,533,207,276,526,982,
410,952,078,870,692,959,741,707,867,235,729,139,090,349,935,324,458,831,726,
571,595,167,107,715,231,365,686,143,937,063,268,090,588,595,539,620,459,384,
480,479,478,129,029,548,551,878,922,957,672,766,443,531,585,112,387,079,529,
212,407,749,082,662,579,335,012,342,870,427,416,823,602,662,527,976,182,138,
686,899,418,649,194,947,303,447,251,567,242,384,946,640,606,183,067,710,897,
628,357,819,356,786,285,305,275,857,272,644,820,686,868,449,309,988,671,953,
848,487,517,798,696,938,850,758,897,775,008,630,047,677,369,380,646,262,098,
305,932,087,444,739,072,708,255,429,148,491,652,921,537,614,176,750,517,328,
886,678,082,856,140,117,705,337,006,044,795,876,744,600,102,019,588,802,582,
143,970,755,563,907,702,000,739,715,073,776,073,972,411,791,325,985,099,572,
391,115,840,463,892,086,901,902,629,811,845,481,457,856,111,530,545,179,182,
509,264,206,508,352,396,705,590,836,608,300,731,007,489,240,295,868,380,710,
492,897,436,887,607,200,502,700,972,242,153,490,313,869,466,657,201,472,360,
892,807,962,202,472,596,078,858,005,521,906,950,683,712,765,649,643,958,187,
775,639,849,044,404,745,609,083,732,527,571,437,407,238,508,574,952,727,577,
293,299,327,998,559,900,551,201,497,089,591,434,274,859,627,411,402,674,727,
216,315,548,664,928,285,679,874,698,436,176,595,033,775,512,517,014,933,410,
915,250,917,265,684,943,848,650,697,083,592,849,837,999,407,799,762,880,431,
788,804,782,350,414,298,090,163,132,325,289,841,931,026,197,611,179,747,106,
139,626,196,030,405,727,287,697,774,318,832,761,136,012,403,099,398,928,781,
575,493,719,326,662,050,354,957,138,378,789,010,793,037,960,394,888,574,331,
597,270,292,613,839,278,335,050,271,660,249,616,575,313,984,394,451,810,988,
104,467,622,137,233,543,669,870,536,886,854,313,369,911,976,816,435,161,798,
888,638,487,217,489,243,608,058,620,029,487,892,202,633,115,294,315,201,189,
452,656,246,716,066,648,488,967,677,368,458,139,253,245,253,197,715,184,695,
855,370,541,297,222,921,248,202,504,714,388,777,605,169,502,780,632,590,282,
091,833,969,768,007,999,299,174,424,102,365,507,649,569,211,545,007,749,870,
592,352,401,009,129,546,916,902,863,975,797,667,742,076,913,403,095,470,481,
716,775,953,944,625,863,731,542,915,036,559,936,436,290,929,821,744,610,792,
957,959,338,277,182,603,629,519,529,935,572,247,243,199,931,268,282,013,630,
604,502,527,768,378,898,973,869,738,102,294,048,545,482,381,458,556,752,699,
351,319,590,026,522,676,209,775,255,308,957,144,830,405,000,308,839,154,828,
384,259,010,627,687,229,099,274,264,161,732,432,595,696,162,899,051,347,981,
784,806,075,191,140,593,218,975,144,312,207,249,742,658,177,833,830,290,135,
074,766,150,485,255,020,975,072,383,056,021,336,627,407,436,773,817,673,918,
221,591,965,153,912,662,071,826,898,598,496,787,159,036,915,694,185,715,078,
338,627,041,165,161,062,346,669,545,303,104,149,582,592,636,225,077,660,249,
031,127,729,779,259,062,208,657,451,752,010,744,993,250,500,509,294,063,066,
570,102,518,989,472,053,597,455,204,513,734,189,580,084,402,608,692,151,872,
630,295,687,846,372,159,638,857,932,262,408,040,918,732,942,038,728,258,931,
820,351,287,703,046,810,462,775,276,769,193,424,555,396,971,601,729,546,523,
601,504,927,494,329,425,518,367,163,663,426,407,000,733,133,586,849,106,626,
164,205,995,929,283,024,340,056,819,301,295,457,348,453,287,198,596,867,352,
560,498,830,059,072,155,795,455,286,494,571,508,719,082,981,582,266,183,408,
839,640,357,721,333,082,167,589,772,587,008,011,612,410,676,780,730,935,807,
054,145,632,757,333,132,308,048,701,763,875,016,031,989,121,315,649,959,968,
335,349,535,361,568,133,145,691,589,735,595,813,195,786,055,009,290,791,960,
667,556,444,808,790,141,423,134,046,716,374,183,434,673,590,918,730,754,715,
236,820,153,788,400,631,789,270,095,565,412,177,613,232,316,241,139,579,392,
467,999,243,057,470,050,697,849,074,811,755,848,515,128,071,742,008,783,436,
646,574,414,224,799,130,537,667,862,560,467,033,108,325,945,429,656,966,826,
499,046,368,875,454,793,151,568,787,792,532,277,866,214,943,463,604,458,977,
880,078,760,854,975,090,808,733,049,986,860,192,235,912,034,272,284,035,723,
045,817,184,474,681,283,545,336,001,577,183,691,460,882,505,582,188,450,866,
761,260,134,798,083,411,485,709,230,027,988,542,533,200,742,570,078,316,945,
474,800,214,623,476,924,044,667,033,575,202,038,190,235,519,481,625,944,332,
995,237,145,039,851,133,123,403,333,836,554,270,530,159,000,616,979,662,428,
788,867,044,834,277,769,419,691,012,467,200,321,233,288,059,925,584,398,715,
427,956,898,933,348,755,797,716,825,629,461,589,709,090,399,417,049,128,197,
841,912,303,264,271,327,564,264,285,856,274,182,777,149,346,995,979,083,984,
932,390,625,487,281,912,874,379,551,681,916,371,355,533,256,700,532,832,336,
938,740,927,420,046,205,741,749,508,931,658,955,909,823,362,788,734,513,973,
545,192,014,052,807,589,526,587,836,727,443,118,406,945,167,212,712,032,883,
417,672,990,856,200,426,008,746,547,773,361,648,485,379,397,116,560,091,145,
300,195,798,115,217,517,933,329,102,632,983,163,173,120,819,614,388,581,075,
704,222,654,763,660,861,537,783,772,784,822,520,560,872,172,303,417,326,465,
665,682,828,017,148,089,865,687,158,637,468,198,097,994,466,025,446,836,855,
091,202,573,188,992,518,336,852,323,259,323,955,210,020,294,312,601,490,865,
437,110,782,309,944,530,857,945,236,829,735,914,122,321,845,556,778,898,742,
077,757,443,365,432,072,886,395,783,433,773,910,856,084,496,031,814,758,852,
370,197,654,858,823,470,082,932,400,781,926,503,398,388,702,782,625,199,091,
404,528,420,466,370,556,758,856,651,153,992,284,558,335,166,573,552,268,429,
317,074,454,114,805,566,056,073,014,722,734,771,526,718,857,055,779,745,969,
252,750,380,198,892,662,865,284,883,256,148,509,614,170,176,528,734,658,892,
405,301,064,582,169,362,810,047,210,532,892,379,199,668,743,812,426,448,227,
815,714,803,227,836,711,810,727,344,179,391,163,411,386,448,655,809,889,620,
913,594,907,240,440,453,627,812,106,181,390,967,705,274,529,878,202,193,304,
694,701,141,289,369,310,499,537,560,179,971,560,285,482,617,540,647,332,195,
679,465,712,682,291,873,696,616,428,788,106,688,744,633,212,301,016,869,820,
803,999,750,993,970,321,558,814,223,880,001,741,142,618,318,014,450,677,781,
467,332,768,557,889,583,774,412,499,028,756,621,535,658,834,291,498,932,624,
865,280,218,411,046,358,147,660,240,995,086,570,257,971,071,805,350,784,629,
228,581,010,782,362,371,312,267,096,097,665,066,694,990,158,635,539,273,408,
735,709,412,489,700,403,958,190,304,135,689,249,902,635,980,869,712,753,301,
126,771,890,018,976,248,073,562,450,398,016,685,094,308,603,065,681,568,192,
174,279,105,065,504,679,527,499,011,792,648,015,570,502,422,072,723,350,868,
447,422,811,575,913,869,816,080,402,859,748,688,603,159,462,788,407,571,485,
528,997,375,410,926,821,619,906,814,981,036,480,543,302,564,485,658,636,604,
104,378,395,144,417,507,146,366,607,259,018,330,535,509,822,893,986,557,478,
401,967,170,959,813,764,581,823,962,463,411,341,935,741,689,093,561,467,811,
843,915,058,155,017,219,890,528,611,148,149,066,774,026,549,743,677,525,508,
795,660,563,142,485,075,465,565,405,829,588,036,104,629,744,796,419,893,502,
513,321,961,449,402,749,103,689,353,098,161,818,379,891,543,810,862,660,483,
392,760,427,797,438,846,757,307,419,767,935,441,178,532,776,093,545,942,144,
512,310,048,920,548,647,749,096,492,252,760,632,793,434,379,334,607,915,082,
722,869,870,532,962,226,823,024,259,186,040,509,459,051,966,448,375,713,391,
803,416,463,014,414,434,691,951,915,854,829,192,144,123,445,521,656,022,950,
436,934,472,969,024,968,937,974,573,291,376,204,605,328,889,885,985,643,008,
512,008,700,127,115,083,584,442,897,424,587,928,707,600,014,293,217,257,522,
167,826,057,533,282,149,344,600,423,144,980,458,989,708,221,333,016,529,864,
495,517,505,695,653,917,570,506,706,129,470,012,461,285,599,121,591,998,047,
790,304,309,017,246,184,618,069,339,191,217,748,492,985,644,665,788,596,347,
145,499,611,673,413,781,481,387,322,677,737,589,234,585,544,870,481,416,678,
029,618,094,014,479,160,043,951,903,393,546,708,693,661,036,705,363,565,068,
480,428,307,269,921,848,557,699,812,479,457,544,185,830,432,231,494,790,295,
741,614,652,842,354,990,594,401,527,731,219,617,277,606,138,631,787,527,630,
370,183,893,094,911,253,182,294,947,868,570,285,034,145,903,228,029,532,938,
824,904,032,008,666,427,812,163,618,051,222,325,365,584,983,432,252,969,837,
496,201,516,714,909,873,153,710,597,394,079,462,469,438,611,281,148,227,638,
385,013,507,457,265,881,475,569,536,335,737,468,072,172,525,767,016,588,472,
668,826,355,171,708,589,285,530,939,856,454,264,134,497,381,298,788,338,239,
629,384,423,327,341,405,949,736,667,192,540,668,723,938,692,892,338,769,426,
471,633,938,282,572,424,979,365,955,673,866,358,124,353,493,308,205,402,950,
364,300,281,387,113,375,432,711,338,223,108,265,006,817,287,541,576,195,976,
621,149,557,406,384,496,220,395,816,697,498,544,024,180,705,822,801,097,207,
617,710,249,657,176,758,485,018,280,741,459,633,824,254,945,252,631,346,509,
117,340,589,998,566,672,826,259,868,456,771,471,748,982,609,483,112,838,199,
900,717,402,103,982,119,123,921,940,104,644,962,615,085,308,410,644,133,855,
847,648,428,639,428,596,380,194,293,832,427,031,411,674,105,529,901,717,876,
142,713,694,320,446,599,400,908,874,219,681,641,989,303,599,967,516,745,953,
569,386,608,599,538,021,802,132,671,192,094,685,337,772,064,344,503,427,527,
900,135,185,528,299,954,279,476,255,035,146,308,370,178,142,418,195,494,658,
290,401,953,907,025,850,601,582,282,511,919,920,140,168,665,525,732,217,267,
970,782,717,523,086,233,770,245,084,640,590,098,656,586,238,872,617,391,498,
812,789,155,074,571,912,532,751,662,559,264,952,459,119,936,460,829,016,663,
340,571,835,173,839,123,659,417,084,369,820,801,640,279,398,549,947,308,585,
946,294,381,884,623,090,788,281,137,280,915,163,843,336,596,616,851,892,525,
194,257,254,444,399,231,208,709,421,641,193,699,407,110,754,185,339,290,866,
895,269,832,400,755,996,524,482,122,581,299,559,755,688,982,232,605,686,694,
579,736,425,024,299,508,443,778,846,447,486,694,087,736,191,035,099,753,709,
625,035,964,976,609,799,818,746,563,279,535,522,392,446,637,673,628,135,223,
136,283,862,267,623,565,119,509,781,519,149,820,581,173,992,445,474,692,343,
912,225,125,013,509,331,229,213,291,311,152,228,259,950,104,848,715,051,058,
467,305,982,823,166,596,260,983,295,678,603,547,902,432,780,178,836,612,751,
252,409,261,366,340,758,598,847,236,428,629,244,167,025,901,706,585,387,320,
527,097,486,858,707,292,176,919,607,554,802,169,447,307,868,296,023,952,655,
613,315,984,088,677,108,296,439,233,321,306,057,427,360,394,338,340,366,467,
891,520,159,802,573,341,460,654,539,111,639,145,736,063,527,463,307,333,213,
771,454,627,356,593,745,474,403,271,209,167,634,197,541,061,143,152,507,563,
137,738,983,823,013,639,332,309,627,277,261,350,750,156,562,569,432,989,340,
281,126,122,655,826,124,380,053,689,429,364,371,804,957,267,782,365,624,728,
715,455,508,454,624,521,676,109,157,845,983,935,583,815,047,917,017,546,193,
684,350,079,112,571,454,179,824,884,051,047,678,695,772,309,736,561,362,274,
401,399,070,115,433,515,125,214,048,869,582,964,303,275,846,286,693,526,516,
732,969,870,155,305,542,774,490,084,143,131,098,320,198,999,464,982,522,581,
631,690,048,031,401,379,645,363,342,158,031,926,576,925,439,427,075,335,394,
134,536,245,607,917,912,631,578,684,333,017,171,745,322,385,019,502,578,783,
562,979,089,321,136,081,093,891,185,532,713,494,650,493,348,801,345,294,352,
037,958,537,687,789,885,129,821,803,947,817,770,766,444,663,454,668,067,008,
851,202,519,986,491,532,896,597,652,933,431,701,556,060,301,800,002,581,966,
661,815,971,010,948,271,661,247,040,996,901,838,255,012,127,345,178,621,760,
132,488,052,415,135,906,518,009,740,210,917,173,202,019,254,491,852,988,686,
000,135,441,122,978,745,297,809,432,101,611,184,344,335,373,770,398,252,135,
474,997,853,243,196,282,115,322,761,210,051,248,070,602,918,120,646,948,993,
156,695,995,776,277,203,022,066,803,581,687,207,702,982,832,377,351,914,357,
767,057,681,478,883,081,625,559,727,467,542,684,328,201,892,145,634,908,271,
077,342,284,154,797,118,056,405,498,556,702,042,381,805,796,785,830,532,958,
341,644,639,552,869,374,703,107,896,822,918,357,135,437,077,409,254,170,159,
850,951,546,167,175,648,392,260,016,822,430,154,173,956,737,382,993,011,697,
642,180,058,739,020,417,854,469,280,162,960,995,953,098,183,251,771,606,884,
606,903,651,081,272,860,958,196,670,553,283,042,064,368,047,680,354,438,855,
357,610,331,887,714,229,333,216,468,107,646,983,401,437,133,522,081,473,448,
964,730,943,723,370,432,125,678,184,967,284,300,996,820,093,051,923,760,116,
739,999,042,326,490,465,664,032,353,010,524,065,182,076,974,524,539,998,545,
291,235,404,123,470,379,160,417,694,065,659,119,725,356,087,016,996,228,873,
769,146,872,060,937,459,478,009,146,017,910,217,955,575,934,395,887,031,847,
391,582,394,728,682,651,828,510,985,400,790,762,418,264,101,099,844,631,401,
934,503,000,809,104,977,645,710,303,205,441,403,946,542,278,688,859,135,378,
270,928,584,150,595,269,010,887,449,203,000,174,299,088,804,979,729,521,028,
955,087,467,066,931,318,200,731,398,951,964,942,560,038,282,331,568,220,934,
411,273,703,241,193,158,867,667,200,716,215,239,194,365,373,385,885,187,554,
312,682,899,090,074,578,778,624,539,829,466,643,998,973,862,791,929,582,146,
139,523,483,855,797,740,993,696,098,474,117,407,300,875,146,234,587,688,177,
877,681,132,118,182,620,899,122,915,629,456,656,794,543,668,957,340,021,682,
796,319,396,515,156,938,368,646,227,123,662,913,182,314,213,466,369,936,557,
631,607,639,928,713,314,322,122,971,549,343,718,323,975,581,654,495,939,116,
142,279,916,670,509,965,273,581,741,429,014,112,987,740,569,559,386,439,176,
036,956,605,914,283,669,920,718,814,162,094,243,797,728,323,541,836,869,267,
092,411,229,527,393,533,273,160,222,607,270,942,354,390,831,889,122,824,437,
411,498,874,658,746,275,062,936,902,558,773,095,181,940,374,532,526,425,071,
899,748,911,784,222,830,921,704,646,004,837,494,646,415,810,253,771,513,258,
390,650,776,610,034,350,543,409,293,013,935,183,667,517,040,870,134,148,512,
655,645,859,961,221,637,684,152,033,205,281,009,937,252,662,947,490,371,208,
998,573,504,127,987,379,195,549,746,644,252,057,659,557,015,258,879,716,919,
427,860,825,401,010,161,608,204,381,164,060,420,139,309,807,194,419,366,017,
657,190,741,047,346,778,277,829,306,147,418,476,075,339,798,598,469,415,580,
149,065,796,251,074,630,783,619,187,735,951,411,978,321,486,594,678,746,481,
328,585,536,590,454,081,439,992,669,686,507,471,486,062,661,536,556,689,550,
798,242,959,634,151,744,826,168,985,669,076,946,943,296,982,399,415,127,071,
659,067,934,414,255,162,569,573,935,063,336,506,634,931,017,045,846,045,379,
367,550,200,745,219,565,801,238,821,918,954,632,841,307,017,395,061,781,035,
017,551,305,398,891,019,575,384,720,459,692,673,666,697,546,771,580,815,604,
269,969,583,942,039,988,728,634,667,768,709,045,303,913,898,361,559,699,631,
916,062,826,202,316,636,070,722,121,657,696,701,991,648,064,911,511,588,672,
594,831,871,378,264,316,887,583,962,210,498,363,636,429,028,948,886,052,145,
018,270,025,236,166,162,870,067,098,130,305,978,209,231,047,033,043,604,803,
108,552,028,625,309,661,159,330,201,461,014,056,403,715,422,026,645,796,889,
476,017,394,513,321,840,729,495,542,928,781,931,368,487,407,204,759,577,629,
640,393,863,905,905,395,739,261,283,584,943,847,836,667,349,088,693,808,926,
956,129,931,883,394,608,520,804,254,686,893,709,393,329,337,977,261,106,673,
631,976,274,058,020,296,222,931,534,354,229,158,333,310,141,657,900,490,951,
993,790,758,640,459,503,213,531,272,448,257,046,489,625,994,432,288,832,663,
184,329,425,499,149,266,169,023,634,848,257,077,614,565,981,418,305,303,609,
538,041,193,233,598,221,075,328,504,839,848,643,359,840,020,247,203,658,687,
219,614,021,009,695,410,072,705,160,729,141,371,006,679,171,155,893,104,531,
785,240,649,017,256,136,948,222,795,449,402,022,175,368,842,548,609,693,689,
987,189,912,505,406,503,580,018,019,024,880,255,596,412,964,092,851,522,863,
394,876,789,920,600,972,998,064,964,738,919,488,244,881,090,314,324,466,792,
283,313,972,854,031,215,674,493,963,756,224,255,936,487,267,979,072,515,815,
213,101,073,049,210,852,439,100,371,910,137,366,823,698,926,736,521,388,272,
363,974,918,103,032,224,696,152,218,831,294,852,840,781,882,450,156,683,176,
003,426,156,024,849,066,973,831,288,782,628,940,768,525,342,544,448,934,558,
919,601,190,232,935,311,483,833,409,967,140,209,289,996,320,084,813,813,433,
641,662,397,046,186,908,627,104,503,766,217,709,056,451,380,442,697,383,001,
367,934,665,306,992,905,330,528,443,960,416,523,365,902,430,368,600,869,754,
176,947,464,576,854,726,115,870,062,539,590,386,145,464,183,192,679,222,676,
767,119,883,696,966,696,191,306,870,148,493,357,449,357,778,073,005,892,598,
195,337,449,782,858,196,563,687,243,618,860,519,398,935,800,792,000,828,434,
665,447,776,940,551,090,181,322,477,099,372,171,242,884,707,152,479,549,236,
993,342,388,799,823,923,379,654,851,112,275,545,561,256,934,235,374,718,038,
212,854,186,372,144,234,006,517,351,827,211,690,522,026,661,416,017,497,070,
777,982,301,511,748,730,633,063,612,423,185,999,980,817,577,885,715,539,969,
226,163,636,302,118,100,884,514,620,546,809,505,102,488,968,424,580,138,188,
383,901,882,444,595,762,557,909,521,471,522,733,631,410,270,531,037,890,241,
793,207,135,397,620,494,072,060,973,455,802,210,571,432,628,487,062,480,895,
398,299,942,253,267,946,684,319,053,653,973,568,440,615,163,154,703,242,312,
131,243,704,761,054,438,352,380,925,464,145,612,116,234,395,675,254,675,569,
910,036,341,920,701,637,380,791,855,020,060,766,364,681,077,798,326,777,393,
387,975,366,338,982,476,242,111,884,283,184,575,726,079,219,017,109,976,440,
941,038,453,364,525,900,517,281,036,940,011,733,502,274,271,071,790,424,118,
751,517,838,136,520,179,447,714,044,348,133,888,445,145,048,765,657,046,526,
993,228,615,727,362,791,228,029,315,980,195,739,122,749,278,788,723,451,507,
363,361,612,604,977,497,182,415,753,629,331,579,539,177,249,588,650,351,098,
984,049,579,110,158,814,400,451,479,639,349,858,437,271,753,773,841,366,856,
561,847,781,818,243,097,388,934,069,051,246,065,010,060,685,945,649,413,892,
610,354,643,314,766,751,013,691,747,362,738,529,680,057,023,308,669,930,464,
132,927,417,068,086,014,677,497,539,914,391,790,361,560,948,476,992,949,156,
210,379,601,783,902,672,045,123,049,270,084,698,450,128,452,858,491,468,883,
018,418,336,606,332,389,829,830,439,071,602,526,050,263,252,480,699,985,978,
325,470,072,840,586,773,251,099,220,691,511,843,935,529,452,736,203,647,297,
981,143,971,152,163,033,012,364,248,131,819,344,297,754,490,533,581,160,345,
866,067,690,537,842,680,069,772,293,662,279,285,506,177,493,208,691,135,638,
310,519,258,977,569,297,528,829,323,218,455,338,907,051,815,270,178,241,015,
784,767,231,237,228,739,906,866,589,699,278,406,253,291,155,848,895,031,005,
822,033,961,502,259,441,427,671,433,418,726,416,762,854,920,224,620,013,500,
455,526,738,625,316,617,332,863,082,179,085,111,345,608,998,052,083,004,270,
255,571,379,547,340,159,350,706,808,141,042,280,837,686,881,377,773,128,297,
127,522,637,153,224,559,572,931,538,407,098,276,841,724,154,819,128,418,788,
329,589,563,605,811,636,656,720,264,856,508,179,273,685,041,379,928,751,026,
042,129,135,522,245,836,040,817,450,205,182,861,626,663,346,035,403,057,423,
917,306,869,458,266,512,165,180,748,856,438,248,610,082,541,988,221,449,443,
916,219,321,884,594,928,283,300,266,935,889,385,151,513,297,478,336,422,957,
128,229,131,765,987,405,259,768,600,572,325,003,262,328,219,036,798,818,814,
760,991,918,121,923,211,775,543,718,538,086,290,358,035,101,775,045,823,065,
361,249,707,171,360,260,441,027,030,692,027,091,701,279,779,246,838,557,999,
268,418,089,226,726,015,143,968,123,257,020,677,073,450,196,086,968,963,784,
526,800,232,347,980,671,185,537,105,923,094,024,991,227,439,614,962,643,214,
684,427,201,227,621,363,169,322,383,625,811,029,152,113,435,362,311,570,435,
162,394,956,774,292,535,679,926,493,181,618,744,882,810,045,064,258,018,486,
840,558,922,208,656,781,334,823,096,087,802,844,661,944,470,008,752,373,702,
314,143,061,104,903,909,637,525,123,950,111,806,829,816,252,752,039,125,725,
588,119,848,683,952,138,596,415,881,473,957,003,033,900,115,620,520,806,602,
216,772,843,319,268,153,671,407,567,455,298,914,371,707,499,722,471,182,343,
404,855,159,495,180,057,968,460,540,188,092,353,487,669,590,722,461,660,230,
461,175,967,277,415,752,142,220,717,783,636,382,872,110,409,912,914,895,858,
031,205,022,825,582,507,517,049,158,621,356,210,863,203,101,352,470,639,891,
081,188,438,084,656,697,142,228,151,102,417,280,665,438,760,744,729,460,193,
137,383,979,294,313,491,899,835,686,165,208,149,474,497,716,420,351,386,051,
257,952,455,013,710,043,897,244,116,174,174,424,939,958,531,401,571,300,186,
578,374,953,469,574,431,605,689,632,160,116,719,485,563,390,854,000,316,056,
522,863,143,750,842,239,045,574,496,509,944,018,050,045,990,888,581,252,878,
316,743,554,111,508,878,477,597,034,058,134,002,188,315,029,682,096,971,219,
181,937,713,150,177,904,088,449,850,910,093,080,785,399,264,733,901,444,895,
256,823,961,451,851,341,973,674,762,999,394,064,734,032,407,871,885,415,440,
644,336,916,597,421,538,215,838,417,930,967,529,898,836,178,286,436,042,721,
517,625,326,467,898,618,824,645,516,116,752,963,949,305,893,039,649,950,987,
482,863,871,808,886,461,880,545,270,855,291,272,471,090,248,139,538,752,958,
444,667,742,163,783,161,779,043,921,226,758,974,730,293,625,840,522,369,977,
632,005,004,723,258,874,840,855,706,528,926,250,948,031,942,319,788,769,592,
102,571,224,106,936,442,446,691,622,942,819,584,148,039,638,912,954,352,407,
536,354,529,303,923,255,549,330,246,369,835,233,615,402,145,765,155,380,778,
553,673,983,632,535,027,070,081,611,497,441,716,115,408,436,898,747,248,105,
868,678,953,313,103,668,367,840,852,917,417,121,073,887,080,790,549,205,402,
766,091,855,983,393,264,225,259,990,430,777,550,580,243,908,489,473,088,010,
250,844,547,439,797,530,208,714,192,794,264,106,586,359,985,994,568,242,329,
311,308,594,347,163,089,847,913,582,633,993,374,639,436,153,336,248,531,940,
390,310,917,738,292,448,953,430,411,259,304,733,521,001,174,607,860,088,095,
463,936,520,053,825,379,658,855,723,747,803,485,591,218,316,273,575,324,675,
801,395,681,685,721,835,941,371,451,245,722,212,597,055,932,746,000,310,761,
431,310,553,138,074,580,113,775,901,111,503,865,527,462,918,730,306,036,096,
996,926,315,804,248,922,563,385,809,293,545,413,480,903,525,804,276,412,381,
210,444,392,408,304,447,172,520,096,529,866,015,358,270,144,676,516,671,903,
812,847,622,291,604,227,271,342,114,516,315,110,735,927,942,635,076,114,743,
746,815,175,582,973,578,267,685,523,069,932,402,545,928,097,007,378,687,679,
988,326,709,159,648,744,935,256,748,262,714,195,547,338,794,874,854,725,408,
959,875,015,491,944,209,915,024,773,948,183,302,643,738,435,867,927,685,261,
458,983,179,670,718,266,895,660,943,670,483,413,931,143,216,164,335,941,967,
955,676,541,233,139,102,064,361,645,975,398,166,625,193,678,585,927,750,202,
426,391,154,507,453,135,227,986,120,969,594,215,600,063,677,404,428,009,622,
704,283,192,537,663,445,389,348,225,905,059,706,469,308,096,594,414,858,534,
319,715,693,511,304,029,610,139,693,271,013,976,180,402,239,844,644,405,254,
240,859,886,093,305,164,223,263,638,403,773,524,098,275,995,893,121,115,956,
372,914,519,131,311,279,656,752,454,939,409,355,852,043,202,700,504,545,655,
037,223,310,229,607,482,379,590,072,731,789,189,450,331,441,107,801,031,122,
581,574,518,340,424,272,850,135,443,792,111,072,316,604,835,519,913,687,239,
483,411,641,090,128,166,070,131,133,025,437,721,238,503,886,377,744,441,601,
990,768,173,780,646,361,363,218,285,473,644,189,128,248,552,540,044,064,789,
738,691,662,089,307,644,319,400,472,460,747,294,410,646,367,774,391,946,829,
841,542,452,767,335,913,642,702,158,815,398,020,765,346,714,691,116,128,030,
514,533,708,842,175,521,392,566,783,699,240,446,189,108,479,587,092,259,910,
242,937,533,330,851,701,498,515,373,989,320,161,003,539,630,678,725,813,698,
731,257,047,097,456,507,740,328,403,585,875,218,561,751,993,265,674,127,557,
591,307,825,770,647,166,299,199,677,743,263,573,022,603,012,968,672,608,590,
855,872,035,920,462,771,798,465,439,690,786,140,788,484,539,850,177,313,109,
594,474,035,873,417,884,166,585,755,577,610,756,744,375,562,350,196,276,068,
412,412,860,982,467,596,628,376,463,573,259,625,856,774,413,932,498,797,262,
305,987,994,330,378,636,907,515,756,413,992,891,763,562,370,871,958,226,854,
146,629,211,244,802,462,493,055,348,563,274,454,255,130,398,942,281,300,665,
437,525,687,187,202,200,005,074,976,841,765,189,285,990,529,163,556,806,938,
910,865,546,021,874,243,723,127,330,465,135,195,918,143,596,685,225,630,521,
502,074,798,195,134,212,438,562,024,529,859,343,821,917,929,428,343,258,479,
500,758,800,702,213,970,598,209,525,286,362,343,007,461,294,448,132,319,565,
741,330,268,437,984,501,140,945,856,556,969,297,862,672,145,470,501,825,734,
177,127,281,452,235,830,480,628,024,005,735,189,426,935,750,785,432,573,436,
006,091,044,327,430,013,082,245,984,883,505,253,604,014,699,982,052,287,153,
534,403,079,730,273,224,838,854,343,052,412,416,437,437,185,607,135,827,530,
655,055,707,105,527,241,371,685,767,358,992,319,183,248,114,073,485,767,922,
551,292,634,852,101,531,676,926,452,223,525,482,299,479,986,864,912,390,515,
853,589,325,362,509,353,118,241,942,119,245,797,299,157,682,239,346,693,344,
028,570,897,827,471,498,737,868,825,672,492,647,540,903,773,450,617,265,761,
827,534,777,204,901,795,332,564,967,975,948,345,895,666,492,516,931,809,295,
690,243,828,457,137,985,459,949,706,652,557,457,392,155,483,312,127,389,106,
254,161,972,152,168,616,074,533,404,742,723,243,952,604,393,921,163,172,947,
777,678,835,336,187,287,099,316,256,166,258,714,089,456,838,554,318,029,989,
579,812,512,129,258,430,712,599,561,637,524,203,240,479,896,530,350,419,881,
100,213,908,983,649,768,874,359,530,979,557,093,786,066,994,230,324,978,174,
855,119,788,537,380,924,675,927,116,958,080,787,452,427,144,181,745,324,748,
891,505,756,834,228,313,919,271,536,710,787,857,456,640,861,947,892,478,605,
214,520,789,554,489,566,924,791,566,046,655,542,870,231,870,191,495,491,937,
646,071,604,458,605,028,799,341,311,418,140,089,992,519,121,637,204,431,806,
772,713,326,232,118,867,914,000,935,532,279,489,301,028,758,686,558,907,711,
468,337,497,558,091,853,476,541,365,501,156,715,192,937,094,937,519,175,761,
054,100,870,802,559,540,251,248,781,627,638,437,035,607,380,935,391,186,639,
234,089,856,583,744,672,314,124,607,499,794,989,232,935,623,677,059,571,688,
232,629,558,849,475,140,869,571,024,955,825,854,221,177,490,742,822,435,252,
068,985,911,676,095,363,615,530,221,018,408,399,397,819,455,354,357,254,336,
127,250,464,175,162,704,612,555,852,120,766,794,048,976,300,666,410,897,701,
637,092,127,289,855,356,447,409,291,494,181,632,363,006,858,214,921,117,556,
612,339,200,101,451,124,393,253,165,227,717,562,136,870,524,218,991,300,429,
264,603,619,474,467,566,862,854,353,127,686,303,691,328,917,140,031,549,772,
776,337,385,201,044,560,717,070,361,042,718,897,505,380,135,492,185,466,510,
113,308,237,848,945,216,720,912,774,701,871,303,565,256,815,490,555,355,408,
311,065,434,054,577,033,046,441,716,521,576,397,534,400,259,063,682,113,331,
494,796,172,528,196,234,069,424,424,966,885,413,425,678,325,574,137,179,460,
993,778,040,066,284,164,664,060,884,521,103,325,576,197,260,243,388,961,110,
629,334,345,568,588,074,486,639,182,816,483,421,925,433,482,120,391,980,271,
573,261,377,687,043,404,734,091,932,217,069,177,998,049,033,922,486,107,124,
561,232,641,653,543,577,850,552,120,784,433,083,017,983,093,063,913,577,930,
174,259,537,291,468,950,727,422,953,735,775,984,400,690,652,812,148,632,627,
948,117,173,318,828,092,166,494,727,210,543,838,207,123,794,125,103,717,397,
709,876,883,783,194,043,157,541,502,490,296,773,822,882,191,925,406,272,855,
434,950,137,819,830,389,132,657,206,172,155,794,632,956,800,349,505,056,470,
672,803,662,581,784,979,884,129,937,972,638,828,192,659,945,562,795,253,189,
793,006,884,406,297,715,524,401,764,354,463,559,266,599,622,927,825,159,075,
880,647,887,928,001,488,536,080,544,449,096,743,636,763,450,866,330,488,470,
967,014,052,097,845,445,998,019,924,922,348,669,098,062,757,357,701,424,343,
666,447,646,389,397,147,772,623,514,875,313,464,100,403,849,197,560,887,980,
430,997,030,417,214,992,723,114,896,751,370,900,859,188,822,811,296,007,087,
451,746,528,393,512,401,458,075,114,300,594,584,729,687,995,394,566,346,294,
885,914,263,761,018,979,047,795,547,110,894,250,990,188,640,934,090,735,696,
742,386,211,939,545,482,862,825,762,195,795,972,892,739,175,966,050,818,988,
429,885,951,534,523,451,340,163,360,410,326,194,181,097,459,550,492,318,260,
208,409,422,049,618,217,683,032,474,863,486,105,049,627,367,153,317,435,725,
960,070,311,819,001,807,312,167,638,681,950,505,211,167,956,043,499,119,437,
149,372,094,203,407,766,997,252,444,010,122,158,146,765,668,466,293,871,008,
031,160,858,182,889,894,165,731,876,651,666,430,444,266,568,868,207,176,553,
394,773,852,505,309,024,147,425,023,419,721,549,474,498,800,315,375,965,702,
394,254,219,159,412,493,017,026,920,098,933,483,839,024,151,771,923,256,207,
873,945,826,621,762,401,862,364,922,138,930,042,077,358,281,836,493,160,530,
682,626,696,006,772,022,943,623,925,013,502,511,842,143,400,141,611,625,545,
974,126,687,803,524,000,571,378,543,048,553,599,478,481,514,628,138,187,769,
862,999,502,045,473,119,278,298,068,292,524,809,722,875,246,693,796,645,448,
865,367,866,963,143,310,880,706,384,821,089,963,226,548,730,175,951,856,219,
623,294,038,682,041,904,611,072,374,423,974,641,885,915,318,624,009,132,476,
483,249,840,155,462,362,134,387,625,477,484,115,853,261,276,843,659,572,223,
960,743,165,508,906,802,987,378,758,437,961,990,451,969,722,713,964,706,441,
923,974,435,677,008,848,169,169,337,990,857,258,953,051,002,759,356,716,412,
548,373,476,420,088,285,146,551,574,264,344,906,095,015,089,746,219,081,945,
851,273,522,587,388,496,910,517,269,873,170,094,850,062,185,051,219,506,214,
727,985,850,791,337,913,358,496,795,029,293,213,427,323,404,324,703,186,150,
296,925,713,802,852,008,273,303,222,317,070,967,679,430,518,765,714,149,874,
970,458,784,647,318,666,495,891,636,696,352,809,353,873,653,556,398,436,746,
738,399,793,124,757,120,055,749,081,961,366,315,739,048,206,927,055,352,264,
075,995,523,758,568,226,816,559,154,493,362,823,160,349,053,720,195,067,370,
251,816,090,076,393,367,569,819,393,681,672,469,529,494,408,976,347,051,573,
854,561,434,006,350,604,438,116,171,183,888,597,315,928,009,484,562,388,659,
608,505,190,754,542,329,118,120,250,969,043,933,775,807,096,557,928,154,288,
977,989,311,397,561,030,298,968,266,555,967,890,396,909,196,440,296,048,311,
948,347,087,390,828,778,463,924,477,017,548,263,165,866,640,231,959,305,176,
976,438,184,281,340,879,753,783,202,084,566,718,322,501,829,570,628,795,789,
778,378,314,757,529,488,602,040,184,416,488,764,331,329,786,297,851,961,242,
897,382,903,588,915,556,455,339,156,338,610,233,205,542,727,707,856,321,084,
773,333,106,878,536,758,524,828,551,086,520,220,031,384,598,653,901,830,033,
043,516,204,719,091,029,568,654,293,756,496,379,763,741,678,185,340,114,572,
177,212,048,361,225,057,693,226,345,994,206,416,883,709,273,074,591,290,025,
262,177,230,165,323,527,530,146,125,392,901,521,821,185,961,024,964,976,435,
709,191,311,835,864,386,655,451,383,172,716,220,762,622,541,070,758,521,129,
366,828,598,725,225,438,904,910,347,589,584,926,863,308,949,067,500,300,540,
684,351,897,827,864,220,139,725,353,436,537,795,677,680,037,869,599,859,182,
295,611,310,413,007,598,782,351,669,322,183,481,606,628,285,009,892,114,350,
530,179,071,400,876,486,302,004,323,214,054,460,435,295,276,142,196,725,389,
755,055,524,576,432,841,253,129,378,018,051,948,738,919,374,628,397,289,596,
874,025,104,744,017,812,878,774,054,241,716,822,636,965,826,015,239,913,359,
537,903,171,728,443,011,023,609,974,984,494,034,392,946,958,863,697,518,517,
874,275,782,804,824,834,714,190,822,544,541,188,162,401,265,627,380,419,779,
927,275,848,992,377,913,109,422,042,298,925,265,564,494,723,922,861,901,449,
519,579,891,175,813,163,388,194,488,174,631,550,179,571,158,510,827,125,365,
932,014,564,720,043,367,890,927,405,145,327,297,069,359,927,088,165,895,716,
607,701,505,662,150,817,016,042,472,630,994,175,444,301,090,691,731,143,160,
597,551,305,248,886,988,966,590,344,961,978,625,483,197,133,527,737,088,338,
160,778,580,128,383,957,356,971,123,997,290,102,577,631,694,418,618,790,626,
450,200,989,292,277,718,330,804,297,109,326,315,233,111,906,596,032,473,594,
750,679,736,493,671,431,687,541,998,928,437,915,921,943,506,959,498,110,575,
443,406,431,230,016,474,870,249,428,722,544,427,692,791,387,086,336,951,633,
042,706,652,070,772,343,113,428,276,690,914,472,029,764,776,348,442,464,533,
529,814,292,374,451,880,168,537,129,643,877,310,277,093,833,256,041,343,293,
376,454,808,816,770,950,068,496,207,212,314,527,058,324,873,176,909,931,231,
148,817,234,493,453,348,386,038,063,509,505,929,801,825,914,553,944,368,280,
296,355,975,682,242,585,633,551,744,526,137,008,754,245,092,353,086,387,156,
776,078,646,700,251,101,536,492,019,481,003,693,881,216,948,800,110,899,278,
665,163,051,629,487,264,059,055,086,791,175,920,740,250,691,093,054,397,415,
370,468,702,222,592,400,370,026,075,879,874,592,644,136,230,351,462,594,960,
026,368,891,311,707,976,718,195,231,750,612,111,974,327,296,247,511,225,113,
043,301,651,642,327,468,005,325,848,589,217,333,443,239,207,952,761,862,382,
236,969,486,616,167,579,107,850,162,955,760,984,280,423,665,426,890,650,467,
977,791,923,896,078,428,838,938,538,936,202,879,846,817,986,304,746,150,628,
007,169,403,580,907,164,216,539,423,289,652,809,482,071,900,757,594,453,550,
823,285,464,160,252,721,739,169,251,590,189,662,146,017,097,729,243,415,095,
022,220,326,084,163,630,349,858,567,795,153,970,195,561,280,277,475,112,234,
716,745,171,647,779,235,917,007,163,244,323,579,751,361,137,998,480,580,266,
210,283,748,941,129,340,880,325,922,021,925,075,896,529,506,265,293,104,939,
586,592,917,227,308,031,324,080,343,585,512,753,378,433,257,226,271,326,733,
108,623,587,787,583,860,226,043,100,761,543,793,341,531,065,168,982,721,064,
078,205,153,902,728,687,227,415,479,492,686,548,614,383,031,017,317,283,809,
769,299,948,400,685,680,405,572,640,650,903,069,071,370,451,600,194,558,516,
195,629,234,006,817,930,358,233,346,839,405,544,465,829,528,710,382,407,454,
061,790,835,050,190,353,046,087,974,052,072,953,863,150,024,789,747,127,966,
063,514,225,640,098,644,861,413,790,930,618,580,934,750,555,924,042,711,680,
070,935,796,664,228,176,193,565,631,923,545,296,476,422,354,235,270,341,856,
068,217,215,251,011,281,417,008,531,606,745,425,599,051,180,311,914,677,808,
694,357,431,952,919,361,766,347,249,263,320,402,371,605,970,439,984,959,009,
155,567,600,513,626,852,759,286,535,287,855,432,467,142,337,379,649,116,619,
095,287,379,861,557,930,436,697,318,156,011,264,158,938,407,588,734,324,194,
022,335,935,033,748,691,814,165,791,119,465,976,636,635,820,881,927,403,861,
828,418,044,190,185,339,263,162,320,992,292,120,533,782,090,389,043,966,788,
293,446,323,041,623,222,185,764,077,156,588,977,634,555,530,203,641,278,871,
549,063,884,171,520,073,735,085,092,696,403,715,033,411,190,980,720,638,665,
047,648,033,907,114,024,037,883,161,747,262,662,211,252,297,146,371,977,328,
788,333,803,730,480,387,656,261,870,376,158,691,449,773,907,707,677,949,775,
632,920,991,715,445,887,982,399,696,957,002,422,654,301,535,522,796,773,081,
468,168,872,748,259,500,393,022,804,319,007,826,570,372,935,821,579,005,138,
850,461,504,395,610,942,396,633,056,407,858,172,857,024,099,991,260,296,604,
425,774,272,036,826,785,367,217,905,742,657,823,467,572,596,989,335,230,269,
472,217,940,304,507,276,165,227,686,007,044,897,956,631,779,722,606,186,073,
827,640,278,268,474,070,034,329,876,530,066,703,557,897,443,064,788,324,962,
769,848,958,447,552,772,632,847,101,811,607,824,475,701,375,499,422,761,219,
996,160,400,150,320,851,067,582,018,600,934,663,788,636,079,067,120,395,303,
707,962,669,642,333,217,263,021,469,921,223,097,558,048,313,633,001,376,144,
010,974,758,671,141,018,764,496,238,875,245,702,601,285,361,229,578,806,255,
295,495,671,950,096,212,670,412,775,659,157,880,432,553,216,787,818,059,768,
853,577,649,505,262,242,675,059,510,480,462,977,448,519,978,923,879,468,989,
955,918,951,511,559,139,989,883,816,514,743,118,212,061,937,445,349,929,692,
035,291,771,726,254,691,633,060,499,606,576,214,466,771,793,322,380,937,976,
398,970,349,909,831,949,577,015,915,037,521,993,172,734,829,618,934,714,394,
160,630,075,354,082,247,629,536,680,998,235,835,725,251,313,275,626,700,843,
321,191,058,537,676,755,485,554,940,959,276,491,542,756,584,993,369,693,526,
396,406,931,964,779,112,512,327,258,556,334,524,495,694,800,181,109,997,899,
034,928,905,477,935,755,585,645,852,280,847,563,512,069,726,648,212,593,784,
472,912,140,224,727,116,254,235,605,456,172,432,685,149,673,294,902,889,692,
979,636,036,606,877,963,848,719,676,933,564,245,786,566,377,453,584,216,971,
446,661,287,966,802,437,515,756,583,831,546,607,909,499,917,199,287,595,713,
097,840,935,121,932,332,901,813,256,854,563,603,236,660,101,864,555,347,821,
622,517,296,598,561,088,270,020,912,595,935,028,288,056,230,350,360,128,504,
511,021,837,492,925,038,860,404,730,083,218,202,317,684,699,400,988,670,187,
519,592,102,629,024,994,068,615,438,905,043,155,463,281,416,226,251,694,086,
786,433,608,020,315,189,644,309,139,550,082,748,776,974,695,514,395,812,560,
472,978,727,150,675,712,837,913,945,863,659,379,837,223,017,753,227,299,513,
354,581,900,684,384,331,486,266,920,089,914,034,461,951,430,896,281,262,405,
826,087,922,979,435,659,957,490,464,819,372,409,007,847,408,161,271,572,576,
001,098,483,205,696,612,844,776,105,349,328,933,513,501,133,167,837,164,626,
774,602,206,531,584,246,997,321,529,579,973,176,714,816,763,418,565,165,242,
221,699,343,365,453,947,699,100,456,278,093,378,636,466,588,937,924,721,629,
359,294,541,703,682,812,571,152,902,998,493,123,229,621,585,984,904,068,913,
960,493,122,565,481,093,547,433,141,012,546,306,510,117,173,566,525,870,459,
254,450,339,484,847,113,967,941,046,555,641,957,861,405,693,121,169,284,210,
750,758,068,338,431,732,816,488,884,836,793,319,303,370,413,428,936,369,327,
898,314,531,509,673,253,138,304,949,061,648,511,203,332,889,144,375,655,592,
976,093,007,545,765,088,618,279,541,134,578,473,582,811,431,420,158,909,654,
050,152,358,790,305,147,094,153,015,307,510,498,225,375,197,924,912,647,973,
642,901,846,529,929,606,576,582,328,400,411,027,630,934,288,986,574,179,158,
166,273,372,236,462,979,167,608,062,224,219,222,288,113,152,627,199,293,409,
270,265,379,666,428,841,059,293,905,943,483,967,550,844,563,463,926,822,269,
039,693,782,372,872,348,114,704,221,494,410,351,199,640,501,030,962,780,905,
720,422,825,460,344,495,947,772,895,292,025,214,828,925,825,054,406,994,241,
551,122,299,346,014,466,554,246,150,460,743,749,801,221,362,393,476,868,656,
667,891,760,633,904,390,392,607,114,140,740,388,420,130,559,900,347,124,841,
369,383,286,321,466,735,505,713,911,994,198,371,813,866,875,937,324,851,754,
411,041,036,709,742,927,277,890,608,858,435,300,525,285,074,516,797,399,386,
777,241,521,847,578,943,888,377,660,093,025,230,560,029,399,551,396,830,629,
593,904,112,558,964,285,311,975,756,373,939,690,039,397,651,225,751,907,901,
941,855,515,157,553,358,743,135,296,127,152,006,756,060,189,969,573,817,359,
739,771,920,825,408,014,719,739,712,289,517,191,474,660,452,794,064,754,091,
460,068,083,179,005,854,307,988,845,102,813,269,366,998,312,923,004,113,706,
984,833,248,312,924,102,015,162,442,454,716,882,679,335,175,836,185,006,720,
208,528,859,850,113,650,941,641,704,810,327,422,299,568,564,597,515,686,091,
288,166,047,799,821,870,677,393,578,559,696,749,209,681,023,579,410,835,588,
648,315,951,346,680,358,492,174,089,731,040,659,072,754,025,831,180,755,404,
979,676,879,686,692,759,550,877,015,344,326,988,378,995,812,077,987,797,517,
378,580,436,233,266,322,355,925,285,765,355,554,643,258,611,704,894,616,407,
570,855,340,411,118,479,859,286,364,767,810,691,920,749,997,913,648,337,593,
112,248,284,334,209,965,410,604,978,968,733,968,442,366,518,863,833,744,130,
065,598,852,352,677,875,051,841,245,641,421,623,448,097,928,792,140,156,167,
433,628,781,188,847,531,413,027,248,568,519,691,548,296,013,810,135,192,403,
625,778,352,663,209,128,432,037,662,262,968,835,915,308,091,384,858,293,671,
346,046,607,583,244,121,213,552,297,223,511,889,514,451,342,775,167,516,518,
869,523,668,080,726,546,254,258,051,307,720,535,566,065,171,776,957,885,381,
581,461,799,384,796,401,499,233,767,864,053,083,946,915,006,155,085,703,620,
308,688,291,184,456,395,098,015,973,046,409,635,692,001,234,467,300,261,372,
036,643,486,404,593,997,957,455,411,907,920,623,445,926,989,384,951,267,299,
961,407,336,688,441,088,290,463,977,530,344,735,401,200,067,438,463,004,371,
105,528,820,055,671,174,561,729,063,219,412,319,156,636,244,728,469,139,975,
607,944,983,390,440,683,904,716,124,643,426,623,146,935,075,710,966,387,911,
164,169,357,542,697,633,798,169,191,287,577,660,534,906,130,514,472,989,208,
328,286,511,483,507,555,157,158,231,304,882,242,187,085,377,965,687,804,699,
799,678,152,351,735,790,478,285,204,028,756,163,771,496,748,896,723,091,825,
823,816,262,632,305,223,182,564,930,837,979,564,327,696,787,595,328,960,509,
298,411,503,454,329,307,699,646,711,102,052,692,993,649,222,309,623,942,583,
718,794,345,818,784,983,257,253,474,951,156,169,737,613,509,263,640,878,023,
522,769,904,338,590,688,751,503,757,313,090,885,981,907,997,723,648,804,884,
653,466,507,401,188,595,299,414,552,990,933,959,271,927,407,672,576,371,043,
743,143,140,717,268,372,042,626,238,525,480,258,619,556,799,710,996,131,007,
099,047,528,619,378,436,050,710,808,207,831,945,144,825,734,560,416,519,692,
773,428,010,772,332,855,994,999,576,585,146,127,209,339,729,948,463,939,958,
821,075,303,350,597,536,563,132,267,436,836,089,155,031,422,789,248,318,858,
295,905,245,633,188,932,019,647,198,032,755,111,945,693,026,751,852,976,675,
356,787,919,289,284,847,986,511,183,255,918,149,502,599,510,090,090,110,250,
682,442,493,882,797,309,983,320,839,082,649,345,433,362,736,841,879,697,964,
008,346,212,906,681,581,824,435,007,304,337,208,279,426,850,417,859,724,837,
003,131,414,534,892,033,629,175,210,798,433,881,852,425,881,993,832,331,061,
020,832,252,574,042,576,072,961,415,067,672,074,382,129,039,002,038,265,950,
969,283,738,735,637,024,207,283,753,992,885,360,938,618,984,288,529,666,802,
938,738,236,828,861,422,965,046,506,179,521,609,474,364,694,864,135,443,742,
208,059,186,391,550,549,657,088,180,871,302,463,200,847,908,023,854,902,465,
641,180,196,517,302,411,305,223,229,001,886,570,185,835,312,271,014,384,682,
690,436,008,529,488,983,282,825,256,812,796,720,492,843,114,886,406,579,022,
333,398,321,530,707,493,304,064,098,323,087,839,738,320,616,557,394,076,882,
851,961,267,388,545,716,813,675,108,262,864,513,296,860,031,127,656,411,413,
876,109,496,566,461,147,514,990,602,297,020,368,014,026,662,563,499,852,289,
643,574,186,672,945,111,856,187,634,284,774,545,815,635,695,919,530,225,203,
622,191,913,621,062,549,989,428,260,542,819,730,123,632,346,517,831,789,728,
347,688,304,264,768,643,218,372,058,478,343,293,871,364,668,374,939,811,305,
372,542,721,582,243,915,126,415,639,644,446,423,727,914,562,217,872,227,191,
439,689,461,684,875,299,254,709,103,498,503,706,808,909,442,651,296,458,365,
394,427,462,824,844,787,797,824,561,177,791,045,190,850,339,796,022,111,548,
691,406,635,181,705,369,485,722,751,324,722,262,873,499,162,425,459,898,546,
383,292,138,312,305,392,243,276,156,794,614,516,232,604,869,007,351,904,439,
907,728,477,116,639,856,881,309,898,801,376,094,617,877,723,039,161,698,922,
863,283,890,708,279,080,284,161,090,328,194,628,038,911,825,766,576,801,997,
768,805,664,235,009,439,082,764,215,236,542,867,594,032,589,538,176,373,394,
351,097,353,073,364,632,331,159,903,294,651,945,891,933,749,799,061,487,323,
488,089,504,187,055,356,766,805,418,998,990,070,410,050,700,718,170,393,973,
450,231,153,032,233,637,443,562,661,228,354,979,864,799,244,756,672,216,612,
541,845,203,795,655,586,486,041,165,273,941,448,095,577,301,973,301,206,825,
792,379,874,417,925,622,516,792,312,672,901,492,525,305,547,457,990,961,329,
328,325,468,344,334,340,469,740,573,984,360,120,498,127,555,871,997,389,462,
153,844,761,382,096,700,379,284,781,236,666,173,881,947,081,738,154,428,024,
738,777,446,569,194,529,933,777,754,577,491,355,537,659,666,899,712,418,551,
589,880,438,300,699,304,921,042,985,040,645,760,121,673,727,947,279,183,647,
529,977,186,796,314,396,429,095,409,452,358,654,641,492,397,800,273,351,231,
120,939,822,597,537,909,874,952,699,239,378,231,105,977,604,517,840,071,015,
782,646,491,190,713,980,106,711,968,490,399,021,041,728,980,845,777,304,812,
268,312,224,358,590,339,873,331,567,300,822,933,535,003,902,875,757,242,112,
780,400,367,558,471,217,660,261,451,433,748,062,672,410,277,428,181,213,898,
074,624,290,865,807,033,786,293,883,220,601,917,731,710,267,550,952,385,513,
741,559,003,600,598,636,972,088,486,088,974,310,401,469,297,196,421,839,098,
315,320,564,893,334,142,233,230,243,305,926,038,537,433,291,836,701,513,997,
676,075,271,705,797,553,892,362,036,800,365,755,991,555,069,306,031,992,763,
214,171,273,463,062,746,538,597,230,633,326,347,506,576,203,173,447,220,375,
540,830,341,188,468,647,957,542,943,898,035,826,709,102,811,389,075,642,011,
817,737,231,238,959,612,383,096,209,101,078,710,553,770,782,464,903,138,058,
688,227,210,017,556,298,153,178,781,027,546,593,010,359,760,340,518,684,497,
453,393,577,664,796,162,797,763,061,648,131,336,238,701,003,049,368,952,951,
737,930,876,953,166,307,141,668,608,205,750,319,181,004,772,424,209,210,891,
344,464,260,415,885,756,433,222,281,052,217,539,584,447,026,718,532,024,532,
872,427,769,720,299,478,913,459,558,025,566,060,064,995,732,989,416,184,268,
071,654,198,001,199,235,886,968,581,952,097,302,067,440,878,867,460,814,824,
768,312,971,883,378,310,034,572,246,867,899,178,055,369,415,523,735,997,902,
445,633,062,680,462,700,348,592,112,191,038,192,657,387,535,051,401,507,599,
217,783,397,570,545,723,008,323,757,204,962,088,310,431,501,637,044,673,694,
406,676,023,337,241,074,929,516,018,750,431,498,095,006,081,909,242,312,677,
662,917,398,105,746,858,511,038,218,714,416,729,096,078,563,225,272,166,906,
900,322,458,530,478,738,513,077,665,602,634,517,813,965,477,325,957,124,310,
311,043,386,054,320,662,572,674,724,255,356,872,962,646,073,709,854,048,382,
974,527,615,680,003,082,248,035,776,555,768,412,140,644,905,328,807,915,238,
139,590,241,052,216,198,868,176,911,842,381,577,688,793,567,265,277,728,922,
981,110,933,462,551,164,293,283,509,524,155,041,279,517,103,233,755,577,861,
692,520,991,800,390,175,180,106,551,929,561,507,017,354,453,750,527,213,720,
460,148,260,442,587,824,936,484,186,109,285,358,721,453,735,302,070,016,721,
297,212,457,844,242,174,585,041,243,674,068,057,092,963,510,672,362,027,686,
998,080,642,843,054,655,652,837,918,138,021,783,957,880,880,272,282,681,607,
728,639,078,048,087,199,578,264,276,248,414,739,083,656,779,690,898,888,176,
695,160,462,356,685,029,802,383,180,519,165,059,489,553,523,828,571,025,140,
531,287,999,903,900,768,715,361,877,981,739,413,607,722,889,871,395,829,237,
923,271,336,997,901,790,271,267,546,568,748,251,667,720,886,442,498,762,650,
448,917,644,568,953,415,115,515,012,041,880,902,799,845,671,237,207,561,520,
724,916,144,063,765,931,906,578,899,995,232,719,265,176,458,213,929,769,449,
587,461,513,551,968,878,509,246,553,126,367,773,197,501,429,292,884,951,712,
747,523,870,347,703,175,700,557,718,177,230,083,136,013,964,964,046,657,376,
814,931,323,417,889,051,837,708,310,020,819,531,186,512,130,505,990,770,208,
038,176,767,221,941,598,605,088,674,539,615,607,130,842,725,051,263,168,613,
428,686,143,846,437,718,152,817,401,004,752,278,479,524,861,795,954,732,121,
282,950,445,295,133,045,982,101,784,786,047,772,862,328,762,806,294,464,579,
041,452,579,828,044,278,763,956,049,534,786,178,634,359,464,328,339,535,060,
707,640,552,205,351,341,634,877,253,399,536,530,052,718,493,543,303,358,151,
598,955,656,777,081,936,056,131,965,369,886,657,801,437,684,363,721,877,006,
621,233,133,301,265,551,307,963,279,711,117,973,354,604,264,333,599,387,994,
405,415,878,119,171,185,474,223,744,442,834,310,338,240,496,684,869,035,309,
299,785,789,265,184,715,938,484,131,577,975,155,782,445,319,702,881,309,636,
941,298,146,693,291,706,706,464,154,576,909,724,567,864,720,313,627,831,999,
360,155,866,819,066,611,497,445,650,892,501,412,593,105,110,109,670,201,744,
871,255,938,818,043,250,243,182,994,373,402,045,184,511,153,753,849,678,644,
655,541,146,024,223,488,232,897,877,640,461,136,627,394,283,010,142,394,947,
040,689,553,905,152,231,860,795,395,509,840,551,581,527,725,381,869,473,689,
428,708,043,656,278,360,743,777,018,742,356,162,497,464,109,990,207,779,229,
685,289,143,380,711,759,355,928,329,719,881,316,839,538,181,577,099,677,653,
254,611,712,803,323,952,363,750,731,072,674,584,637,768,570,109,159,491,336,
220,426,706,105,333,313,582,955,837,295,428,136,458,755,152,022,262,390,671,
639,156,770,278,845,586,526,425,827,062,915,099,396,477,476,643,843,594,066,
772,904,196,089,865,276,895,264,872,730,748,631,408,474,381,717,837,102,288,
874,691,988,240,558,770,185,977,925,113,211,754,932,860,277,007,139,429,279,
303,143,925,962,935,666,387,925,134,616,871,105,481,791,733,610,627,981,962,
062,494,412,937,201,151,670,187,923,751,280,292,774,467,834,147,086,197,928,
708,805,739,120,175,012,130,749,364,945,176,674,209,686,324,927,448,440,598,
953,167,604,710,820,757,416,655,799,981,655,319,522,680,013,684,084,412,518,
152,759,986,868,535,225,447,166,106,231,356,434,623,929,878,627,203,958,972,
921,867,766,509,169,330,860,083,276,091,808,014,915,123,720,916,378,409,116,
496,653,180,420,770,712,951,386,601,694,439,939,189,649,047,058,718,434,028,
730,092,421,108,240,148,139,163,935,690,264,757,659,452,518,121,570,258,124,
958,659,524,835,746,199,409,534,832,438,374,097,970,253,833,578,918,192,360,
142,840,740,143,767,150,739,044,675,065,456,505,812,306,707,559,892,029,001,
665,280,163,236,482,454,991,389,032,065,936,910,557,535,799,125,641,304,440,
176,816,056,738,838,129,724,574,170,092,385,827,168,960,140,464,342,635,916,
578,065,879,335,862,150,336,004,131,531,512,254,709,181,532,920,958,184,429,
198,687,842,054,541,150,950,676,817,020,886,190,485,684,573,585,798,942,682,
614,922,298,817,232,852,916,230,268,251,255,048,035,779,273,557,286,095,379,
439,955,919,962,341,858,380,630,220,215,162,096,422,106,406,749,176,120,570,
783,436,668,005,550,167,135,527,580,108,181,514,600,966,358,621,645,411,500,
222,962,859,962,264,306,080,615,280,021,360,268,602,619,906,642,770,087,263,
138,192,843,975,461,608,625,739,405,771,031,911,855,652,141,966,182,812,451,
383,356,081,134,406,733,443,242,223,157,042,919,935,395,891,389,349,153,094,
376,300,926,520,064,750,691,096,423,084,273,435,793,328,748,406,552,531,323,
368,645,981,803,530,537,143,865,280,978,297,289,821,472,328,734,004,695,138,
659,229,211,539,754,257,988,739,117,861,521,899,055,945,379,455,462,539,868,
783,715,193,775,856,652,971,993,802,979,155,330,506,787,848,352,630,607,542,
330,351,923,604,517,936,640,475,088,258,230,964,141,364,867,045,982,446,598,
128,374,883,438,184,911,922,091,753,365,540,161,033,740,580,351,059,720,826,
566,578,536,996,901,944,231,632,781,388,830,625,677,860,014,346,843,736,062,
093,140,008,944,288,044,197,290,633,598,212,123,131,875,351,741,847,258,445,
967,708,098,248,232,956,483,331,384,320,745,893,356,085,391,265,067,065,600,
800,432,592,128,898,400,748,823,819,498,776,859,416,877,205,995,444,367,489,
511,884,478,705,649,516,137,677,465,295,851,061,510,746,985,752,817,105,657,
398,019,068,499,127,547,276,264,350,300,145,098,735,385,346,175,662,395,909,
702,199,229,119,683,183,195,792,644,366,507,135,567,354,301,168,222,939,566,
530,087,544,701,976,888,216,221,366,187,789,587,970,568,544,939,000,581,430,
376,931,391,047,999,899,160,255,848,653,749,501,603,182,163,438,046,783,486,
656,355,663,903,165,102,528,951,757,614,380,996,277,018,889,832,981,938,528,
473,034,698,435,427,907,113,266,750,860,691,319,908,536,061,122,873,195,812,
396,203,342,332,845,100,019,293,729,978,838,776,695,603,113,195,919,333,303,
432,817,558,090,818,200,085,290,495,198,499,076,642,255,491,850,460,067,032,
791,996,007,162,379,451,588,298,707,061,404,556,160,747,667,020,118,192,156,
951,964,449,725,519,637,655,044,188,552,448,051,533,652,798,360,517,408,155,
728,863,260,903,279,915,850,466,716,474,140,343,241,344,193,682,588,099,692,
715,127,953,298,779,768,722,734,785,781,398,090,930,657,472,824,969,837,032,
844,167,646,347,052,176,335,893,910,642,503,777,230,685,417,346,147,578,799,
975,081,117,669,733,601,966,006,102,526,464,114,288,526,189,691,785,825,679,
732,548,738,200,695,886,317,735,633,642,330,946,304,727,291,582,193,268,878,
409,073,425,179,533,849,248,644,392,325,892,854,009,979,126,197,649,482,525,
848,921,994,742,663,193,588,824,451,441,493,686,297,074,408,964,025,761,444,
831,079,557,460,332,491,527,284,974,450,107,792,901,141,058,185,595,846,823,
724,432,700,306,979,284,709,548,318,886,664,871,068,410,138,520,068,436,680,
565,051,936,900,417,825,149,485,590,286,376,196,071,544,647,947,312,611,266,
241,818,809,356,936,583,979,802,357,958,913,543,025,497,814,343,057,484,168,
378,539,514,989,203,604,881,878,492,455,590,225,472,101,499,995,889,685,577,
825,063,222,303,459,934,337,319,024,666,497,902,399,013,871,914,131,746,134,
326,393,379,932,740,380,175,893,533,577,511,486,233,747,589,913,101,919,877,
397,141,555,801,833,435,227,953,021,599,140,208,870,859,080,889,095,340,441,
991,343,665,836,067,213,089,955,614,553,842,078,620,208,006,677,918,379,927,
036,978,273,532,025,901,217,529,766,499,611,952,648,831,020,634,408,621,944,
261,247,906,230,994,044,765,638,597,291,506,485,540,614,466,990,110,320,734,
023,173,758,606,342,070,707,221,798,501,840,222,206,236,907,984,476,691,206,
725,963,317,959,226,876,392,509,402,562,507,991,111,311,188,588,140,378,720,
330,844,703,776,752,639,316,953,566,086,620,278,800,778,529,619,646,894,945,
590,287,930,847,537,280,332,022,696,961,929,595,354,105,383,770,341,267,229,
961,353,252,839,718,449,430,368,339,548,923,838,787,196,127,045,296,289,170,
262,666,520,476,970,690,162,604,490,367,919,292,513,746,386,853,976,822,736,
449,114,127,602,957,295,701,072,645,208,924,963,695,211,648,496,806,067,202,
853,676,535,006,833,917,398,297,813,753,228,140,900,763,651,915,260,010,306,
138,353,865,834,666,082,519,843,752,754,218,687,353,472,914,491,371,287,812,
773,655,504,220,510,343,424,417,361,419,857,770,351,183,889,333,332,708,865,
754,635,870,583,894,982,204,982,031,973,637,788,923,895,499,090,827,867,811,
173,697,905,777,920,988,216,296,446,806,709,508,216,984,793,743,989,827,209,
707,566,697,159,701,261,254,069,355,878,107,953,821,498,543,532,171,425,682,
524,500,535,590,663,013,415,575,394,003,358,330,793,309,412,355,774,686,841,
189,493,368,508,125,310,679,895,212,385,133,248,114,093,495,241,969,117,573,
971,738,197,276,809,815,814,002,171,517,002,693,188,281,870,615,346,441,645,
042,357,322,239,380,418,359,853,529,274,991,333,451,246,710,472,737,513,552,
639,691,279,866,926,616,754,226,904,829,633,589,601,371,567,353,245,701,607,
653,167,718,344,258,801,815,805,707,314,218,432,727,581,260,667,415,912,590,
031,922,340,057,539,702,415,968,538,253,443,067,796,700,401,280,849,025,288,
628,655,918,607,923,346,046,495,843,229,670,681,766,857,913,176,810,801,445,
046,288,138,452,559,796,166,435,736,918,948,843,979,417,777,013,150,957,256,
364,463,611,520,418,627,986,896,882,305,482,202,830,307,513,066,663,094,344,
143,613,267,101,102,632,730,840,294,088,586,285,960,400,840,783,711,329,652,
574,816,728,472,345,436,435,520,712,934,585,748,518,556,311,024,542,091,642,
114,558,602,771,728,170,541,627,788,101,755,016,943,927,953,807,140,437,868,
223,653,080,141,763,381,830,389,428,333,621,146,553,632,308,900,305,728,969,
562,095,389,244,494,788,491,763,803,933,983,000,312,495,113,806,844,422,778,
611,655,225,121,418,864,809,257,099,929,076,271,406,426,863,179,039,085,026,
039,422,178,301,864,284,636,622,332,872,258,943,268,700,946,786,274,355,407,
292,376,315,826,672,714,436,968,856,788,401,120,549,294,801,260,926,006,115,
673,984,997,448,468,715,113,302,096,683,867,437,440,727,609,114,816,362,811,
617,912,520,501,491,483,375,403,475,704,399,740,935,364,048,566,242,611,730,
464,650,879,469,918,986,139,514,081,383,096,226,810,214,041,232,840,429,591,
539,986,238,551,335,036,811,723,533,581,797,902,232,095,991,755,409,457,410,
162,373,682,870,719,773,375,638,272,693,691,680,748,168,814,422,753,836,226,
647,997,596,422,583,249,486,994,406,036,344,147,188,036,733,308,602,893,189,
095,063,286,106,242,636,838,658,302,302,713,717,969,601,049,079,584,195,728,
171,264,365,002,753,272,929,704,327,490,542,916,436,001,002,686,796,039,036,
375,362,782,727,878,561,678,130,442,279,904,734,195,487,252,806,420,754,240,
878,143,536,551,921,193,621,762,702,818,074,644,288,876,970,077,801,707,813,
760,696,908,754,701,299,173,787,334,135,432,759,751,975,242,088,111,492,759,
146,393,706,044,653,308,588,515,215,265,015,941,751,957,197,853,677,986,396,
086,721,951,462,366,293,614,111,198,216,038,075,246,350,704,439,922,411,274,
356,084,178,919,926,150,361,756,143,366,045,614,283,219,732,143,815,968,914,
691,171,552,424,945,361,456,885,499,956,198,226,791,732,365,502,593,335,806,
328,832,682,826,332,679,167,523,182,294,506,982,004,780,112,728,372,368,872,
680,691,785,270,088,580,199,870,797,943,497,435,259,149,997,315,690,951,234,
137,138,660,614,343,097,287,831,111,052,281,479,064,884,621,139,488,531,595,
454,547,913,064,203,474,983,778,475,342,661,221,546,383,661,200,046,015,785,
669,183,506,550,982,417,306,751,746,874,050,606,943,717,175,543,914,220,388,
081,678,791,788,582,389,336,216,246,140,161,344,174,152,797,889,037,865,948,
353,692,438,912,980,890,288,505,276,013,772,208,558,015,194,623,362,582,514,
773,625,807,881,373,083,432,623,482,566,005,408,538,505,286,936,235,329,425,
518,545,568,829,817,315,378,770,374,689,463,060,228,891,701,542,784,808,247,
197,495,369,163,375,128,108,503,891,554,125,964,200,939,910,242,505,585,398,
343,294,736,997,886,354,339,253,638,479,076,311,023,601,194,755,954,532,566,
719,895,160,911,331,745,293,146,002,410,017,821,610,751,828,361,883,331,971,
100,579,667,741,612,882,681,048,804,281,979,544,803,540,197,886,838,048,570,
434,784,148,303,897,744,586,275,378,971,893,499,492,389,445,744,029,421,388,
655,621,566,369,086,115,318,966,874,236,134,563,141,570,559,742,226,827,653,
210,628,799,722,171,859,356,857,984,797,642,654,714,027,518,595,944,264,001,
880,080,460,072,495,425,157,521,849,380,283,390,135,362,897,383,557,534,454,
797,693,489,284,402,268,727,729,817,991,697,809,505,167,176,955,767,994,688,
008,633,957,349,297,340,374,908,542,533,995,419,091,536,720,136,259,598,774,
324,644,385,753,009,750,678,029,638,594,238,750,732,015,356,415,632,643,596,
156,713,032,434,568,296,442,347,004,987,611,978,029,888,346,969,790,479,315,
849,655,040,406,106,768,427,034,416,626,582,431,904,533,992,977,424,635,464,
559,209,855,382,404,276,805,493,093,147,933,198,755,978,076,569,884,193,604,
278,026,505,224,788,101,386,598,518,163,938,920,943,538,454,484,013,206,521,
226,475,905,966,833,098,104,828,823,674,074,159,500,875,945,105,391,936,745,
117,557,603,605,639,174,418,650,010,370,349,143,397,529,790,484,860,355,492,
014,834,412,471,693,364,169,645,515,227,571,299,029,677,653,274,743,784,224,
903,922,782,499,884,793,863,893,901,477,750,925,940,715,921,491,695,614,344,
051,102,766,275,317,136,075,837,854,960,232,453,068,940,910,088,687,939,031,
440,653,576,145,587,088,366,771,040,394,305,119,781,587,723,373,383,049,172,
084,156,317,484,339,971,624,235,875,426,219,428,048,982,749,279,147,911,749,
838,408,155,168,643,972,730,203,819,087,269,854,558,016,379,362,103,177,076,
692,577,789,875,242,937,558,587,418,367,483,948,640,663,716,919,843,322,392,
153,836,451,009,953,965,872,786,257,312,720,336,401,284,577,316,712,610,976,
953,280,401,184,543,859,389,552,071,749,680,564,737,339,306,622,322,868,004,
250,157,153,039,708,571,213,216,097,186,154,859,043,585,679,325,436,037,528,
825,903,118,292,888,048,251,166,556,656,498,584,668,573,932,853,476,519,763,
567,239,693,915,817,611,784,813,992,194,767,722,014,619,135,985,480,866,255,
443,429,884,798,589,397,810,831,413,541,470,652,704,830,471,061,452,853,411,
356,000,130,587,405,698,141,989,096,010,876,701,931,950,361,114,250,907,355,
357,910,409,000,369,344,566,199,973,970,625,488,740,761,120,085,514,738,099,
353,948,276,783,587,744,903,581,550,547,211,146,327,739,388,857,982,442,590,
030,970,489,883,837,607,046,108,558,555,960,877,490,564,507,344,361,429,148,
322,469,980,895,128,687,826,786,532,650,003,386,020,785,699,297,109,507,975,
544,316,117,045,944,071,147,963,104,675,237,968,740,721,865,656,564,204,579,
947,435,958,127,717,971,831,781,092,391,775,743,570,184,916,848,759,621,067,
082,314,685,170,576,660,783,782,307,543,535,278,086,492,258,377,222,259,236,
121,651,608,759,065,583,831,324,155,985,784,568,564,882,155,895,531,141,335,
757,069,327,687,392,613,867,163,060,892,725,195,381,286,413,710,688,316,364,
278,605,991,047,755,881,422,841,833,121,535,957,104,974,810,882,492,266,470,
840,605,491,870,265,331,338,222,336,035,465,151,774,437,496,709,328,682,820,
915,116,523,074,973,040,339,407,963,002,400,222,214,427,109,544,731,540,681,
368,338,495,501,361,667,572,241,185,891,939,856,442,213,874,698,833,088,243,
904,146,953,518,318,500,060,987,547,598,284,098,967,192,686,611,259,249,811,
542,591,325,431,404,010,414,988,072,570,142,168,843,858,798,705,972,698,005,
615,195,754,933,442,843,858,730,238,558,745,559,497,069,657,089,271,007,141,
946,040,200,200,348,281,996,796,910,861,900,393,258,150,192,204,373,550,670,
553,038,361,988,484,501,511,312,912,777,866,504,432,705,585,073,375,385,298,
047,146,160,748,146,258,670,699,856,749,770,062,202,292,404,031,640,581,264,
944,129,672,101,349,451,612,235,831,474,935,378,530,650,185,466,917,645,359,
475,510,016,002,874,885,030,870,845,665,008,511,587,663,498,964,628,825,448,
931,188,256,858,769,076,953,811,187,013,646,054,178,161,241,934,432,421,375,
877,287,519,129,510,585,539,691,820,233,163,642,271,753,570,819,787,523,502,
239,376,969,508,982,996,729,867,393,830,963,475,262,325,796,603,043,331,251,
912,246,029,278,132,524,322,421,150,205,483,269,045,941,849,653,781,384,245,
008,406,746,075,993,112,973,774,605,926,732,681,819,903,267,002,280,117,546,
419,961,141,988,173,323,375,188,180,110,918,244,082,511,519,964,675,291,237,
300,092,836,158,275,870,679,413,608,354,438,459,752,254,973,712,027,686,533,
498,289,374,913,066,165,166,569,199,519,751,889,290,871,907,990,623,498,380,
406,788,160,302,039,241,803,951,504,602,128,640,515,876,142,223,615,996,132,
128,246,831,845,525,637,543,308,103,239,566,585,349,278,722,846,491,482,367,
874,693,288,405,057,363,234,777,170,018,376,300,454,467,687,952,397,131,928,
281,005,364,325,625,152,294,651,622,734,105,864,492,958,170,185,152,391,146,
564,230,398,918,361,831,179,637,577,493,310,946,397,614,219,831,556,764,827,
818,473,280,776,844,195,725,854,716,966,373,708,803,441,320,849,331,955,140,
179,929,220,520,863,184,381,523,936,460,244,169,342,731,365,912,699,934,277,
928,969,950,396,529,938,727,874,696,487,885,887,590,289,382,899,484,720,754,
600,961,981,963,663,062,292,982,301,316,872,042,910,881,703,041,728,951,671,
857,708,123,395,535,720,295,973,791,751,844,339,477,035,636,187,836,357,234,
785,729,736,770,501,181,995,198,920,126,223,777,820,561,406,453,696,737,026,
183,444,953,020,839,347,721,210,158,779,892,698,398,500,856,766,206,420,443,
472,043,044,477,996,066,190,845,131,433,556,412,717,148,525,360,811,299,558,
182,839,887,741,861,061,237,771,398,970,059,533,144,996,440,672,784,040,775,
099,000,339,703,178,556,777,046,378,732,467,964,238,370,993,644,096,054,875,
989,957,777,675,779,316,105,128,511,657,558,221,367,188,248,712,003,821,576,
438,733,489,102,304,782,473,124,772,632,685,178,296,507,083,149,521,031,464,
155,731,197,165,719,429,098,959,060,702,159,900,977,599,250,549,145,600,287,
727,642,405,013,630,176,824,195,210,728,231,287,956,930,578,001,320,315,294,
101,380,431,131,984,743,089,223,691,777,045,107,635,188,405,458,736,878,680,
908,147,228,646,601,372,142,004,566,577,865,927,651,535,788,742,962,938,825,
741,955,676,056,797,931,867,088,898,504,273,143,196,863,638,470,014,629,397,
798,864,593,641,656,478,686,385,312,957,589,903,237,583,199,564,345,304,335,
530,321,207,434,420,333,847,180,894,504,268,605,571,707,858,215,494,055,694,
299,214,302,953,955,485,407,786,456,413,326,395,459,230,472,242,960,409,665,
341,173,498,900,520,887,520,768,955,219,478,746,290,470,188,553,027,233,047,
439,535,688,850,688,283,375,245,004,947,044,555,476,120,252,735,298,430,839,
626,044,990,361,954,786,024,378,077,498,728,682,042,513,409,857,490,012,228,
923,713,041,321,031,943,939,017,068,212,494,443,842,498,238,419,927,889,186,
745,396,150,842,483,386,460,925,846,767,441,882,497,021,385,724,837,901,250,
209,788,968,543,311,748,971,094,337,214,057,282,597,134,581,623,225,428,618,
593,790,222,181,342,533,973,168,446,019,740,140,713,400,877,854,008,383,547,
696,088,782,422,352,538,813,173,378,714,172,693,294,750,061,730,337,009,403,
887,158,995,652,503,550,309,420,106,575,277,038,907,877,535,724,829,554,063,
746,692,040,173,059,167,674,170,573,708,605,516,916,933,161,170,856,527,347,
687,404,664,971,444,715,329,700,217,319,282,330,217,996,847,068,575,980,703,
834,319,084,508,011,305,159,915,677,600,180,921,914,738,015,188,206,706,970,
998,992,911,343,561,120,212,228,547,952,501,152,347,080,098,432,170,689,827,
715,911,407,433,111,923,013,613,310,508,674,605,037,367,698,303,159,325,833,
150,783,776,143,172,226,643,651,626,874,256,743,813,326,742,512,496,201,005,
915,906,982,704,286,298,265,347,544,679,774,786,573,082,909,855,770,838,724,
984,692,370,404,250,272,642,325,787,420,085,832,275,212,240,151,628,698,707,
668,404,285,793,322,003,344,353,130,753,542,776,451,830,968,265,334,092,720,
953,400,238,460,845,074,523,961,725,790,835,152,904,806,668,374,286,049,690,
541,199,827,856,348,849,081,754,536,673,397,532,262,032,628,190,635,301,123,
887,917,869,914,134,637,646,242,822,953,578,895,339,679,327,484,319,426,097,
585,305,587,441,210,036,046,964,913,048,785,831,071,367,720,104,347,582,211,
631,018,634,302,632,183,955,781,473,394,689,243,581,296,039,687,298,146,005,
444,655,509,936,679,949,675,362,688,262,996,690,500,006,086,953,586,699,215,
741,551,421,109,628,611,744,605,012,576,416,465,214,044,445,303,840,132,919,
004,840,811,907,033,181,936,610,516,015,055,106,527,495,051,617,578,384,240,
452,048,385,294,923,491,548,368,990,898,351,765,490,301,140,343,380,068,384,
626,156,845,905,146,661,690,012,769,271,575,532,413,824,193,094,391,757,134,
261,866,668,548,032,543,736,065,065,973,643,149,085,515,997,914,476,263,750,
874,473,897,238,264,768,241,571,060,159,988,961,053,673,746,339,592,018,516,
065,179,885,516,512,532,354,222,601,597,903,166,206,219,983,137,828,478,829,
602,914,392,703,824,666,227,816,212,807,368,782,304,591,392,159,165,657,565,
263,026,092,955,680,769,091,123,977,062,350,203,208,411,193,699,393,197,937,
421,016,815,183,604,929,417,021,324,997,454,529,836,749,508,377,723,564,124,
203,782,031,444,299,994,916,020,531,893,345,779,440,426,766,827,988,851,351,
670,154,534,071,523,429,814,098,993,953,885,101,690,710,729,619,345,144,305,
168,853,708,137,631,719,606,670,030,577,115,670,931,200,606,101,171,416,373,
183,537,718,737,544,148,406,449,336,050,819,461,473,297,684,211,064,199,412,
634,904,445,590,283,631,132,425,089,897,317,212,036,203,210,375,794,116,571,
051,945,390,685,132,147,486,482,771,222,025,883,907,017,606,263,673,335,412,
341,753,983,962,009,105,055,588,380,401,210,012,688,671,231,158,024,021,902,
997,105,100,099,067,981,637,050,810,453,237,932,779,168,710,149,043,872,996,
732,960,402,087,320,739,554,160,329,663,077,817,288,609,334,177,934,133,688,
641,386,511,859,604,884,632,851,657,319,788,772,187,398,396,689,648,373,065,
944,514,584,153,655,403,649,221,592,424,275,701,346,815,239,028,390,109,660,
659,267,578,418,565,256,951,184,105,610,379,498,592,452,346,552,120,409,664,
647,872,327,646,336,022,767,984,325,618,518,518,757,588,961,809,193,660,474,
453,225,786,082,490,320,781,647,970,347,117,238,270,616,891,068,211,130,630,
729,309,309,489,923,419,786,407,402,932,824,806,367,824,396,827,681,427,664,
690,478,254,696,136,494,057,065,410,851,418,801,133,423,056,540,360,063,074,
818,273,434,913,040,627,205,337,771,140,477,615,875,246,432,853,240,760,235,
031,507,975,260,818,816,803,242,730,255,103,033,434,528,749,327,042,730,568,
924,718,577,203,489,641,728,159,241,278,811,643,437,244,897,129,139,054,561,
538,330,935,556,915,965,548,165,384,516,143,683,880,037,148,102,419,370,298,
379,442,697,237,326,474,308,248,812,500,728,964,614,711,261,721,395,553,272,
704,397,849,670,281,858,614,581,066,062,434,610,364,917,002,056,778,183,282,
728,773,684,575,822,764,216,514,307,584,510,853,837,380,993,927,105,372,464,
610,406,003,114,575,457,688,499,908,368,793,096,638,658,663,395,539,867,546,
896,848,567,459,421,529,155,240,228,458,061,987,428,105,006,119,211,073,351,
511,131,070,725,148,343,133,823,046,636,992,266,563,530,006,212,110,285,552,
929,313,619,504,202,196,165,430,047,506,201,158,577,417,838,363,582,339,723,
984,693,935,142,691,769,777,979,412,330,892,176,762,313,737,318,650,498,476,
985,600,255,355,238,930,029,196,412,250,056,424,409,669,219,934,294,478,401,
198,199,128,655,740,835,166,658,769,784,613,217,958,681,405,036,884,778,451,
217,827,303,548,722,538,028,828,062,112,758,032,065,664,619,691,407,633,249,
106,442,502,248,987,469,211,548,975,775,289,920,640,889,534,206,365,099,905,
653,604,313,792,619,718,169,295,775,874,450,268,143,467,963,601,750,246,649,
918,776,558,599,126,332,623,800,203,100,263,831,054,124,313,122,415,058,389,
826,662,345,390,932,822,664,819,142,476,036,226,708,446,198,283,804,316,254,
692,785,288,056,847,552,950,759,260,689,911,808,525,943,500,068,924,317,232,
847,521,718,607,397,671,469,128,784,439,426,373,340,858,422,629,348,560,966,
560,449,726,102,713,599,145,004,208,849,559,669,079,929,157,719,344,218,231,
620,569,098,388,877,544,136,815,296,781,075,866,856,639,833,668,053,452,149,
889,507,625,606,984,783,663,263,719,251,935,134,357,784,927,419,285,364,755,
870,965,338,496,332,311,537,382,403,888,135,359,948,059,957,294,179,521,177,
672,670,622,223,916,449,342,115,092,897,391,983,770,455,264,934,869,813,689,
791,198,393,695,813,068,312,179,618,800,867,750,474,119,111,888,165,966,551,
223,425,207,722,507,345,928,546,654,846,432,809,943,874,724,742,789,795,790,
362,867,561,338,523,940,275,864,239,727,344,174,337,197,159,996,379,541,005,
444,357,835,071,278,803,861,065,809,778,216,059,176,416,816,480,159,857,011,
502,488,329,106,696,175,196,694,276,033,447,924,951,748,731,902,973,953,219,
276,780,973,907,447,523,484,185,499,448,737,124,926,656,869,821,812,790,479,
491,221,576,362,479,434,637,192,106,226,336,729,650,827,667,069,786,005,118,
696,138,648,103,127,310,441,433,070,385,807,715,183,632,410,670,642,735,026,
505,097,668,799,529,598,903,678,185,102,204,351,133,774,365,500,115,452,843,
182,047,665,128,820,170,925,092,934,560,709,297,381,276,741,699,753,559,322,
461,718,916,138,605,561,051,457,110,143,963,947,200,724,241,604,418,584,158,
770,936,911,584,899,247,668,956,177,143,040,196,779,378,214,783,537,600,224,
249,220,483,722,989,614,208,503,501,854,971,159,035,881,352,154,570,751,869,
185,826,448,184,991,329,497,738,333,185,240,762,533,126,352,599,444,148,315,
256,299,951,127,916,280,171,277,697,101,497,702,504,500,035,537,254,212,111,
950,999,332,671,706,891,865,476,720,245,058,125,945,267,805,305,493,095,028,
128,778,251,800,304,653,187,546,651,192,437,102,179,521,409,343,378,939,537,
507,768,817,563,929,359,654,319,639,451,375,865,508,481,496,350,310,368,854,
340,705,832,705,077,732,798,375,175,106,618,313,726,084,986,939,254,718,515,
006,659,109,471,401,808,857,743,789,508,451,857,827,129,713,371,129,986,016,
163,864,095,313,362,880,674,300,162,816,121,305,555,974,201,254,644,433,086,
251,571,213,878,234,782,876,228,633,289,932,538,046,634,648,222,446,236,541,
647,124,290,347,141,686,145,260,466,596,047,930,846,979,158,471,043,017,968,
239,621,962,939,285,905,451,255,480,740,198,850,652,437,852,486,175,267,614,
643,896,220,983,851,526,304,821,573,650,574,372,239,775,868,227,889,215,217,
255,577,855,810,931,604,855,493,154,239,514,552,656,286,327,507,625,445,360,
800,813,925,274,982,350,892,105,963,049,926,312,334,340,670,960,815,928,265,
362,741,082,510,058,421,417,130,705,621,634,433,998,425,350,932,199,188,520,
621,648,482,492,603,005,764,105,114,269,105,076,121,160,531,265,489,798,064,
617,080,243,790,054,115,339,249,487,789,378,710,863,514,675,166,748,772,375,
443,940,272,094,790,578,100,955,137,534,852,508,252,175,017,071,871,826,423,
404,661,984,658,932,910,039,668,273,340,032,014,812,226,718,240,607,108,299,
656,426,920,775,646,917,333,940,413,827,730,270,975,244,305,521,810,869,257,
537,288,892,258,866,202,618,008,058,912,466,738,234,107,888,292,810,051,141,
985,606,579,455,985,622,130,164,679,159,581,483,475,595,356,710,920,284,427,
948,106,014,206,476,031,439,537,517,596,763,413,077,293,715,223,931,336,883,
047,558,345,815,188,018,837,776,087,242,765,459,095,480,438,840,859,785,200,
406,674,575,638,577,104,456,569,034,879,163,060,642,489,128,412,781,832,021,
867,992,100,504,131,239,137,922,469,308,249,824,666,342,142,271,426,447,396,
152,710,935,415,971,718,941,270,633,749,503,519,489,270,172,322,348,727,086,
549,711,616,968,590,549,239,244,601,978,537,918,596,286,059,732,680,388,152,
427,195,371,591,800,171,516,374,814,408,155,396,368,656,847,082,426,501,818,
866,575,136,351,631,808,436,339,826,266,201,731,427,295,123,376,696,400,613,
638,268,735,348,079,303,089,322,100,741,779,113,039,601,795,389,297,740,223,
361,132,459,840,848,920,714,518,021,025,078,648,771,958,348,136,075,737,836,
144,058,061,087,733,304,364,820,871,208,860,116,092,942,456,945,026,620,739,
776,435,743,860,490,951,296,223,114,822,507,788,523,662,625,323,800,524,522,
265,187,779,797,867,820,765,392,782,584,470,709,048,098,157,691,591,481,174,
789,094,797,617,304,972,134,905,161,527,854,499,896,909,387,341,669,606,612,
150,969,316,448,625,954,766,079,827,449,761,485,232,922,921,191,275,794,879,
788,855,033,884,848,459,679,158,522,181,336,480,764,205,569,965,404,250,952,
822,912,997,213,436,873,237,531,568,340,855,429,528,021,456,245,590,799,805,
101,463,572,068,970,925,213,144,232,804,740,123,940,489,242,101,426,637,760,
726,226,151,169,165,197,350,491,434,147,210,474,981,490,464,425,937,305,312,
034,214,012,965,191,903,013,536,085,126,267,424,792,224,690,107,766,858,892,
093,550,707,492,459,568,619,233,010,134,948,857,462,429,631,210,867,193,821,
314,776,610,445,942,472,900,392,322,870,073,650,978,097,241,996,131,632,918,
880,636,849,642,131,152,691,523,485,525,322,107,505,974,718,017,947,408,130,
856,207,744,277,019,772,304,814,560,886,553,833,018,860,087,588,683,096,047,
383,375,459,896,231,286,236,897,862,033,299,504,972,424,111,798,922,074,881,
474,981,683,341,452,166,875,992,694,932,933,547,410,387,642,828,148,102,077,
601,671,497,372,719,683,087,164,749,704,969,285,782,780,703,774,913,470,222,
600,801,291,092,419,958,081,924,772,380,488,038,108,766,629,762,194,325,602,
927,765,693,884,795,866,961,119,420,177,949,740,394,463,930,838,248,545,018,
510,422,581,133,960,857,959,992,106,705,674,308,466,862,233,870,770,200,740,
381,269,580,956,175,297,967,357,864,299,585,157,852,116,592,424,008,134,406,
487,508,378,501,107,816,629,627,387,396,519,262,064,302,909,678,522,091,587,
131,703,481,997,670,851,438,010,503,360,778,171,809,401,460,888,849,649,398,
361,244,502,000,335,696,101,753,205,579,659,663,081,820,049,362,318,974,719,
148,444,229,430,235,480,769,171,172,574,626,292,754,473,778,579,151,986,505,
459,496,368,641,689,099,004,047,579,789,823,051,951,130,360,796,475,828,890,
471,389,549,830,908,818,949,339,554,161,763,831,489,067,947,977,549,835,404,
241,134,974,560,891,902,989,415,486,982,772,673,853,126,714,212,296,770,129,
085,740,037,533,425,019,694,463,726,504,109,501,395,061,787,698,658,885,204,
928,999,628,255,192,602,489,213,694,817,443,380,848,022,588,569,560,139,437,
975,069,915,776,506,423,609,467,355,557,818,329,044,340,226,970,514,716,462,
378,732,802,246,264,688,674,715,386,126,744,880,781,776,295,757,182,323,572,
150,814,803,803,826,593,954,122,518,619,246,610,017,541,009,164,127,085,255,
774,153,170,913,698,806,712,553,547,533,765,123,194,217,812,255,083,851,379,
945,786,934,856,046,675,886,204,226,298,353,634,543,024,894,678,043,393,860,
013,630,033,731,936,889,855,784,879,421,740,659,158,466,794,273,911,281,984,
536,710,139,748,551,968,326,331,377,416,608,036,417,216,652,783,098,928,586,
959,616,254,053,266,343,784,184,340,616,985,810,393,510,385,755,711,078,265,
875,011,187,749,616,903,113,548,540,535,088,591,736,072,350,873,974,008,751,
616,674,488,682,278,250,033,491,654,172,646,702,848,046,197,740,552,883,720,
485,144,641,393,445,361,280,451,996,385,542,908,699,210,587,594,054,199,832,
178,584,353,384,624,218,148,252,976,248,395,690,021,461,610,583,474,565,462,
127,531,544,308,097,027,164,195,223,127,136,224,227,799,297,964,940,942,268,
455,766,213,159,090,544,590,165,765,419,845,753,672,936,909,942,314,487,113,
457,108,069,404,014,692,083,479,882,778,009,523,388,251,292,531,002,727,662,
249,704,362,148,095,791,656,689,631,482,367,925,819,454,969,332,009,388,028,
898,806,104,165,360,063,480,940,469,084,917,472,296,688,630,449,841,088,119,
723,186,472,298,617,744,827,395,159,666,513,511,524,091,641,218,412,970,878,
010,499,800,620,474,017,190,745,162,035,252,734,664,231,665,932,121,522,442,
171,754,678,113,478,576,035,263,910,158,754,827,877,972,110,861,042,532,805,
532,971,983,136,144,312,009,131,838,523,518,718,678,987,553,988,309,575,965,
203,054,597,295,146,464,178,703,007,254,441,183,277,970,301,756,917,949,760,
003,091,239,319,918,548,256,705,447,867,023,703,164,620,339,803,505,934,912,
763,654,254,069,054,769,957,971,437,690,936,500,670,492,921,572,365,384,847,
478,129,507,825,658,787,078,811,959,594,792,023,365,331,363,269,031,682,771,
139,393,797,061,312,097,246,849,751,531,405,063,840,954,509,734,020,057,038,
278,500,687,135,074,181,732,906,808,521,236,610,398,827,686,905,532,223,223,
956,562,789,423,005,598,362,143,820,854,708,635,243,757,769,608,620,669,360,
575,527,807,753,475,246,872,473,706,210,984,435,958,102,938,590,947,264,421,
460,362,839,224,394,508,354,889,967,140,724,403,007,412,109,427,071,763,847,
653,939,780,718,230,918,340,440,760,626,154,415,170,989,198,043,664,980,937,
763,389,685,544,238,220,453,734,064,561,330,507,577,193,850,424,792,628,481,
875,007,086,866,474,304,544,139,221,112,531,472,965,958,707,924,513,190,325,
011,902,873,883,163,637,908,111,306,861,250,427,058,327,037,555,951,218,350,
391,131,548,969,667,000,332,209,294,943,926,933,629,683,036,501,173,397,193,
142,071,957,750,393,303,783,953,811,205,777,009,004,317,079,200,477,481,453,
398,475,728,595,365,142,350,432,549,707,102,128,787,554,983,323,575,827,382,
648,016,352,073,015,001,185,376,734,456,896,300,611,569,012,925,250,623,916,
717,948,872,662,501,566,624,366,609,797,281,616,939,694,770,332,599,540,007,
121,387,623,600,360,998,891,135,905,180,725,255,605,691,412,344,897,900,950,
983,844,058,438,207,285,954,446,759,461,423,296,723,854,662,414,022,591,027,
807,431,095,740,041,695,177,140,930,920,170,435,122,244,626,712,130,986,537,
715,536,879,130,167,863,577,367,008,922,475,928,864,007,451,584,424,454,924,
529,901,235,989,880,759,925,876,556,693,025,232,381,967,452,540,621,928,262,
627,498,853,428,534,915,098,861,713,153,103,289,486,521,101,306,616,251,703,
536,261,853,225,661,089,188,654,959,227,645,985,345,367,785,157,948,634,323,
211,747,249,519,160,251,869,797,549,033,927,671,125,526,604,655,592,336,691,
714,597,774,159,642,098,183,521,818,692,709,435,387,416,703,867,155,728,924,
930,553,124,137,629,902,852,927,645,698,299,611,327,211,073,588,633,441,206,
559,935,095,128,951,916,524,543,991,257,696,041,388,503,585,010,813,376,527,
825,322,842,793,386,268,769,812,029,541,897,261,969,870,686,358,718,035,969,
828,933,547,727,465,058,807,966,367,501,161,091,249,749,563,730,078,053,753,
120,256,481,080,956,216,932,721,413,437,628,195,923,214,421,604,031,479,528,
755,950,793,411,746,187,724,559,755,730,217,158,403,983,071,113,419,111,955,
475,055,858,832,656,735,505,416,953,794,042,950,494,674,901,139,981,702,059,
916,266,253,057,605,463,584,655,015,334,649,324,992,897,432,608,393,896,963,
598,824,622,788,714,290,479,192,118,671,082,752,550,825,369,842,101,019,413,
291,179,729,432,653,915,150,808,319,970,663,897,800,444,425,275,417,770,490,
367,566,035,123,649,580,102,151,943,960,171,833,302,368,372,668,426,874,691,
241,905,602,555,678,177,813,821,510,527,714,467,251,167,396,103,233,738,491,
868,781,137,140,391,094,503,664,871,979,050,479,321,223,993,263,795,235,495,
886,151,881,936,167,733,917,837,990,058,358,172,968,911,243,278,022,607,185,
931,013,240,240,944,977,374,126,316,227,614,653,207,206,371,147,746,578,173,
642,001,365,464,585,483,792,531,982,082,045,291,773,403,677,097,695,190,222,
663,533,417,725,107,238,050,082,314,003,322,656,964,419,584,950,223,263,494,
443,596,316,751,373,431,087,862,500,362,555,546,581,322,820,080,645,296,451,
430,880,513,712,303,090,307,796,128,422,041,581,417,667,093,854,111,357,819,
839,425,701,118,920,327,987,436,112,251,172,926,538,160,096,033,135,066,647,
595,683,458,095,460,731,446,895,600,079,851,889,457,458,897,675,551,199,078,
567,133,519,921,033,026,730,254,310,569,722,760,814,491,138,756,869,968,345,
581,488,165,530,664,110,271,315,020,146,640,792,761,754,634,212,034,904,873,
560,818,552,466,654,399,782,656,641,380,302,532,158,266,713,983,878,390,124,
925,114,858,339,194,439,671,927,272,995,620,538,055,754,988,998,849,126,108,
855,381,612,371,547,647,657,978,686,339,816,692,956,685,549,122,791,954,479,
799,266,829,391,631,834,426,167,762,632,186,052,507,202,544,655,519,153,534,
523,267,623,962,984,685,145,161,804,495,486,673,002,714,612,666,951,025,570,
558,110,810,432,273,735,297,313,381,136,727,790,162,998,773,224,676,540,969,
544,418,549,735,372,624,085,203,389,507,272,579,035,715,044,048,696,078,512,
958,434,114,318,080,866,653,299,484,298,120,808,374,558,394,983,038,778,144,
234,918,088,681,848,728,800,052,833,593,483,672,197,980,837,761,150,054,632,
110,910,541,332,847,962,732,282,882,909,678,402,040,890,181,907,507,163,834,
605,884,667,517,008,695,853,500,112,708,293,700,542,324,768,091,457,971,169,
036,853,203,242,839,942,419,932,856,878,479,666,269,371,708,385,186,486,454,
779,327,408,644,482,763,000,155,161,409,954,716,076,101,200,439,644,947,416,
668,962,332,949,379,724,555,439,440,037,106,427,840,993,371,713,959,644,342,
864,563,948,915,078,479,896,299,823,774,720,473,164,889,872,059,017,113,614,
664,415,794,122,134,241,726,792,312,452,386,167,438,893,869,361,658,490,373,
950,932,606,502,542,389,950,898,184,546,800,858,697,366,800,986,657,096,575,
366,721,264,282,285,185,732,374,083,525,445,400,230,551,889,295,560,947,225,
023,700,301,676,062,554,554,420,794,694,205,308,719,882,534,927,206,409,128,
663,083,459,839,432,292,367,275,008,689,876,470,275,709,748,361,606,002,900,
538,425,906,141,911,145,657,828,896,541,934,489,785,760,978,614,297,580,005,
987,725,894,585,654,840,706,711,644,252,521,190,710,792,628,106,440,533,282,
746,137,279,856,113,249,002,888,450,196,513,631,388,198,736,854,353,092,958,
605,097,131,195,326,538,010,514,226,843,475,768,537,067,292,396,944,809,448,
054,732,026,007,483,160,428,826,145,348,154,750,150,295,578,792,201,828,697,
757,382,155,745,624,786,902,355,433,500,094,562,502,313,939,639,995,763,470,
387,165,234,813,268,711,539,276,267,112,678,460,669,887,684,022,099,748,168,
967,818,368,332,346,906,527,175,720,056,159,192,236,617,548,811,995,414,066,
463,308,044,500,880,802,659,421,411,670,980,559,536,521,971,254,776,366,952,
052,034,444,345,502,544,845,162,696,492,334,872,073,952,943,106,900,432,673,
478,908,760,983,673,791,550,381,164,952,568,476,828,014,554,574,577,118,135,
294,545,784,312,972,094,105,966,953,215,909,198,484,704,334,306,424,098,034,
645,443,259,776,844,606,350,963,627,202,392,342,144,629,887,483,201,113,578,
762,089,970,816,766,298,452,880,751,458,861,691,496,291,862,324,591,714,409,
394,856,120,444,547,796,438,931,167,396,148,653,121,163,382,846,403,865,424,
246,391,634,102,303,227,100,585,680,948,530,872,777,054,279,850,806,967,991,
884,683,802,121,570,077,533,319,125,016,521,608,151,181,445,212,235,741,413,
596,292,949,781,145,916,683,091,438,622,086,298,981,996,823,064,144,164,879,
957,010,634,830,484,374,270,211,495,313,389,790,549,985,001,281,057,637,839,
897,318,356,845,241,573,704,695,695,995,149,926,273,498,495,166,874,121,744,
898,664,266,791,518,567,405,983,263,603,207,356,016,250,459,948,734,364,884,
753,663,181,702,148,881,577,317,740,448,115,134,656,427,509,769,696,834,158,
362,445,241,732,059,714,355,200,107,759,458,057,222,387,749,343,308,632,518,
463,398,379,801,130,257,644,160,269,895,445,855,848,091,033,849,413,765,558,
995,257,095,574,161,520,429,178,582,836,907,959,587,653,156,838,792,898,412,
810,872,832,644,446,319,951,003,650,556,242,325,767,055,941,354,734,287,113,
677,796,399,755,661,405,972,566,037,268,286,433,147,641,791,634,721,385,397,
159,043,107,625,760,672,254,061,276,689,554,630,374,211,294,393,166,232,142,
507,305,134,816,750,943,685,118,493,811,447,678,879,422,685,699,280,696,718,
085,120,251,071,192,258,871,735,455,929,103,299,833,020,273,642,730,636,822,
286,517,764,974,747,809,311,012,346,322,964,952,333,686,541,682,329,151,318,
239,114,466,163,105,079,959,471,667,752,461,540,179,351,211,675,655,175,043,
020,129,344,687,886,575,765,609,581,569,409,538,814,829,641,730,347,405,132,
229,455,805,354,765,574,105,880,945,290,753,212,106,230,684,021,549,811,471,
654,118,875,562,792,072,640,223,704,778,672,081,808,844,596,877,498,105,754,
274,519,585,697,237,203,294,294,910,294,806,616,301,751,462,240,343,020,501,
960,100,820,919,432,315,842,909,948,396,189,859,691,915,682,745,090,290,611,
505,947,184,513,486,329,592,332,632,704,878,537,017,757,443,000,694,448,409,
835,053,040,077,251,942,085,835,770,688,742,290,553,146,436,626,046,333,368,
726,523,821,974,409,101,398,614,298,867,106,638,500,947,144,608,097,070,480,
569,928,597,940,885,640,049,013,830,087,271,834,838,932,627,278,360,885,824,
089,959,302,634,833,493,543,859,573,827,856,540,995,414,495,588,821,759,642,
557,869,497,372,072,108,833,577,410,071,627,074,348,689,833,198,929,114,616,
058,657,848,558,374,671,093,877,494,590,694,994,245,765,489,187,070,137,858,
101,092,667,820,666,447,936,046,265,661,383,740,803,439,228,199,266,387,098,
754,532,962,230,713,302,008,469,485,317,171,552,813,138,828,774,116,064,637,
719,202,987,588,336,107,499,057,560,004,520,408,392,818,460,572,251,437,265,
359,312,306,648,635,412,435,519,974,171,156,940,626,753,654,558,111,227,755,
883,280,667,677,838,787,548,381,822,254,837,421,300,369,900,590,091,506,181,
122,301,043,677,355,924,722,840,694,637,694,307,643,055,633,651,305,090,305,
885,010,384,451,830,134,075,990,018,454,196,199,363,462,267,489,932,467,508,
208,749,396,061,349,641,952,865,048,024,077,441,295,712,106,807,023,697,414,
726,216,992,087,813,562,143,990,149,326,684,584,200,630,309,105,664,190,703,
866,125,518,920,546,852,047,643,430,159,086,219,116,448,132,315,213,742,532,
228,109,438,106,314,362,235,436,585,553,167,139,349,871,398,592,317,033,804,
925,737,068,798,271,416,688,798,332,648,956,406,015,454,942,228,502,833,159,
996,134,898,193,074,975,546,463,780,334,834,898,660,211,114,928,598,658,172,
809,613,730,199,589,472,229,813,851,546,490,222,293,678,701,885,331,375,840,
711,951,483,631,770,731,441,440,852,126,972,457,386,461,177,874,596,481,363,
226,289,915,353,540,397,862,675,951,725,184,439,646,149,621,871,893,402,739,
164,587,606,763,087,675,278,334,803,668,817,552,453,117,339,968,291,771,060,
237,717,950,311,752,318,065,275,604,827,561,609,801,909,832,479,062,682,250,
948,339,847,807,519,873,568,486,108,580,790,484,378,168,486,116,977,375,429,
091,188,930,681,534,593,030,564,216,464,962,366,777,837,354,865,686,662,266,
146,185,757,698,781,582,747,697,702,369,041,678,754,292,213,028,212,139,893,
916,676,161,887,240,149,562,074,010,899,526,220,476,474,655,163,013,949,903,
352,978,327,029,754,342,235,741,975,640,875,214,742,781,183,588,660,285,992,
909,909,851,410,765,853,879,784,808,389,265,216,973,736,085,330,886,924,875,
987,056,827,496,606,398,168,447,018,480,704,533,792,618,088,255,948,399,951,
007,036,453,374,417,143,168,258,018,542,083,770,944,929,634,239,543,178,685,
267,176,097,139,689,570,587,205,843,681,975,250,930,144,198,412,224,279,267,
975,158,569,679,007,653,398,658,865,599,158,924,968,187,254,096,050,101,206,
946,859,289,369,381,631,467,060,904,656,769,118,052,493,992,653,471,590,772,
233,857,778,294,540,121,252,465,614,057,483,775,408,402,875,002,933,334,485,
421,171,186,094,711,375,919,143,193,177,452,688,494,952,161,236,599,404,090,
136,102,894,146,633,251,829,368,283,911,485,003,318,707,207,269,294,403,905,
882,050,946,589,737,547,126,850,524,661,222,016,286,672,475,067,112,509,016,
267,003,717,270,477,612,007,277,881,442,863,876,117,444,430,676,974,718,459,
514,565,845,534,956,873,144,038,032,092,105,750,456,137,217,710,378,149,056,
258,652,444,130,740,566,536,520,082,751,558,265,313,236,069,401,259,999,258,
888,531,148,080,603,540,078,051,102,512,925,316,393,349,688,773,167,117,149,
382,380,012,947,720,016,017,924,190,424,424,986,380,883,132,319,157,451,457,
026,500,557,676,818,285,682,824,559,696,030,871,066,911,542,244,319,732,046,
108,049,702,096,999,249,924,482,687,460,551,019,317,980,109,128,334,421,818,
783,848,510,551,923,932,971,699,161,815,452,150,922,072,176,223,345,258,317,
851,502,055,638,898,796,730,690,795,741,468,340,006,882,035,537,647,714,279,
820,370,419,046,566,411,432,224,141,312,235,036,796,456,480,526,822,332,079,
543,773,447,059,712,692,450,085,919,137,841,999,987,137,625,159,295,475,900,
023,655,082,834,072,565,057,757,862,408,668,387,491,501,187,653,225,024,283,
078,051,850,329,039,021,079,050,737,819,596,978,652,127,501,846,490,385,875,
408,902,342,658,094,212,213,053,584,840,322,858,564,384,958,667,793,593,189,
324,923,721,911,930,244,149,817,726,862,647,759,673,667,820,219,107,113,826,
530,542,824,793,365,550,195,581,064,597,391,254,842,387,526,265,768,987,476,
414,285,909,903,226,533,209,698,225,299,964,986,354,301,500,285,592,608,912,
165,780,166,356,604,982,390,090,479,741,527,387,647,580,905,801,591,615,354,
868,606,642,122,749,852,383,249,640,264,330,170,100,316,777,045,460,170,289,
036,742,398,485,399,253,026,169,403,334,085,466,923,638,514,523,111,542,888,
860,651,655,662,828,658,489,936,371,131,813,913,698,493,471,854,618,292,823,
119,837,110,953,378,165,768,408,937,522,503,244,109,135,039,285,733,495,859,
329,010,568,157,682,689,784,830,033,286,562,443,549,555,552,741,374,157,009,
868,453,670,346,350,127,196,540,682,343,801,684,428,134,656,580,424,838,719,
591,637,217,252,871,371,369,463,392,870,470,398,827,902,771,096,572,485,533,
199,504,888,104,612,949,464,643,731,386,576,055,667,156,146,250,282,651,355,
407,702,781,310,987,493,528,730,746,537,591,711,838,774,505,935,976,729,549,
465,757,574,608,322,169,215,712,896,343,475,383,460,695,072,386,683,386,351,
713,622,756,278,019,401,405,451,402,894,212,859,611,006,997,740,835,310,490,
373,121,729,116,121,671,923,827,532,906,170,899,796,266,175,127,581,239,258,
772,877,689,368,743,922,450,111,846,682,776,436,085,812,018,581,504,308,225,
423,919,991,440,539,685,291,629,778,251,608,175,264,729,061,116,706,945,377,
693,418,179,744,147,233,181,436,015,759,147,403,451,597,064,034,681,853,327,
125,458,863,455,553,283,650,133,008,099,240,995,370,685,965,024,113,269,063,
158,308,618,714,698,568,364,671,591,806,174,870,031,712,463,190,307,716,976,
006,059,909,650,250,956,336,326,972,365,421,416,292,467,378,376,611,659,666,
462,611,270,050,401,391,485,813,656,677,366,912,399,173,839,543,185,131,657,
153,891,756,543,382,894,970,619,785,200,519,288,657,173,170,711,230,049,475,
237,176,380,115,724,890,245,439,129,467,824,751,858,962,965,718,405,157,256,
174,414,395,502,898,349,288,724,034,157,949,294,013,664,817,787,909,504,472,
002,259,808,560,642,507,092,480,913,217,240,245,772,484,153,050,048,284,505,
775,205,690,982,658,336,003,104,445,456,973,523,367,572,870,811,151,726,923,
233,640,786,959,063,313,346,963,343,027,753,005,994,279,990,865,037,763,952,
142,118,416,718,166,772,937,141,703,492,801,086,074,160,492,403,138,776,279,
001,907,725,852,519,430,020,788,433,111,878,049,763,289,416,271,901,907,393,
078,463,281,678,797,471,428,362,478,979,525,656,449,090,537,566,256,549,274,
211,377,777,715,211,067,487,750,829,004,250,168,020,509,512,609,113,275,126,
300,642,417,347,043,009,091,186,140,280,423,276,298,910,568,752,996,488,234,
003,426,914,440,382,498,787,765,188,436,494,297,091,031,944,624,778,656,175,
786,425,306,839,596,956,513,452,705,517,188,262,903,633,094,606,682,859,336,
777,908,984,840,855,670,313,720,958,315,476,516,090,290,131,161,080,557,343,
230,761,823,827,334,813,489,133,668,371,602,001,019,643,684,988,594,132,328,
253,104,079,543,786,650,217,133,097,710,256,684,966,514,092,213,620,525,847,
004,917,909,556,173,901,271,529,998,230,278,835,363,964,752,283,669,739,489,
775,283,320,935,716,924,042,299,925,765,543,756,316,517,525,713,825,139,264,
916,764,780,778,132,110,830,227,044,365,655,392,579,823,080,107,946,925,118,
986,478,312,559,171,049,863,986,795,171,898,797,673,286,584,008,236,534,376,
968,012,005,935,074,722,260,794,634,766,777,534,560,228,773,552,251,459,219,
893,768,400,503,433,803,016,130,429,591,265,374,341,648,917,581,810,405,140,
656,706,719,106,101,771,165,393,650,275,039,840,901,027,322,426,107,796,371,
385,199,022,236,939,419,215,121,901,694,154,551,626,220,908,164,380,716,180,
753,338,394,202,262,629,715,566,616,969,598,929,074,369,402,435,096,965,937,
801,673,981,695,062,182,137,285,984,023,042,074,030,164,389,775,339,685,998,
500,126,042,122,241,124,506,788,572,769,519,680,808,051,282,940,226,355,921,
840,604,589,082,327,438,860,712,426,709,810,328,589,944,573,296,397,459,574,
761,908,841,158,554,387,748,884,686,709,129,896,801,053,108,811,095,382,530,
313,033,885,818,640,254,770,397,746,928,286,067,246,121,468,177,901,422,555,
953,414,203,006,471,892,052,634,904,719,301,848,739,114,396,350,834,486,634,
644,538,740,249,998,548,129,999,772,896,321,255,293,388,083,583,700,713,858,
140,379,013,655,007,584,427,117,116,972,578,146,657,019,370,312,623,283,081,
076,405,328,087,004,600,360,141,689,799,596,240,911,555,008,122,713,659,049,
968,359,617,996,650,666,956,727,943,105,022,902,389,289,755,535,717,683,278,
307,784,763,518,861,116,052,930,592,407,294,615,306,966,076,012,055,603,613,
858,504,818,847,266,908,015,108,431,291,452,054,716,343,682,188,283,329,560,
002,364,378,511,606,312,924,122,308,221,749,133,162,470,297,921,593,636,390,
507,816,523,446,677,180,688,415,433,143,010,131,866,547,631,853,732,852,631,
712,804,410,400,032,298,294,292,482,557,662,090,597,948,964,780,611,007,979,
817,200,917,930,380,852,977,085,821,466,815,615,065,331,994,135,358,513,264,
206,386,972,367,839,608,677,096,754,429,196,123,355,828,473,589,232,998,160,
909,597,169,363,549,032,660,140,580,581,036,505,986,843,181,753,067,573,893,
303,617,784,673,529,948,960,500,686,231,696,517,475,893,629,263,671,083,284,
909,713,150,384,610,688,995,587,535,080,855,364,630,628,867,042,317,045,746,
632,249,379,301,297,172,541,499,980,984,514,414,296,248,785,221,604,921,934,
442,871,072,230,012,276,820,039,990,733,351,508,699,839,947,305,775,891,470,
929,516,088,965,376,940,813,433,334,523,917,822,086,701,110,637,847,737,000,
222,526,144,363,941,056,645,513,345,586,588,770,774,558,827,085,654,046,709,
894,257,983,119,014,960,563,204,658,629,695,605,589,271,282,265,069,540,019,
082,597,005,365,861,230,111,382,310,689,140,849,757,692,338,667,989,350,374,
341,392,812,866,037,930,855,583,363,610,410,436,084,901,896,293,269,252,862,
987,721,660,439,559,963,566,272,304,893,082,731,684,257,573,244,022,599,313,
195,054,475,184,216,482,363,177,094,649,635,521,775,125,279,145,031,797,948,
496,787,241,330,770,781,503,228,640,593,247,074,160,602,700,341,176,825,838,
454,679,950,695,939,159,925,924,634,641,157,464,931,027,492,190,406,767,908,
086,503,427,717,182,065,371,035,905,159,893,715,020,724,630,829,851,358,036,
710,264,468,542,938,872,921,218,019,307,172,532,468,123,931,905,721,687,724,
334,743,246,767,285,765,371,298,818,452,865,588,350,236,913,040,166,983,342,
775,547,885,752,576,860,056,267,657,197,916,765,128,651,327,490,079,143,992,
142,578,663,000,117,822,140,160,626,814,022,129,476,537,671,244,018,187,593,
810,798,068,956,179,392,732,178,308,384,489,344,667,511,666,964,687,434,990,
192,556,132,853,606,077,042,481,988,109,138,257,888,769,724,262,352,155,668,
008,632,269,386,325,824,763,152,569,428,956,532,419,436,187,633,621,102,976,
535,365,944,759,881,139,966,767,148,132,670,239,646,795,105,449,400,564,518,
178,256,187,115,861,944,140,701,672,315,315,730,800,939,772,783,257,943,974,
114,276,757,790,994,059,064,048,887,562,632,271,208,741,945,427,055,502,220,
742,500,227,573,168,276,102,959,518,972,679,409,256,006,050,883,748,069,536,
014,902,677,482,317,936,388,861,896,690,777,582,790,761,351,865,644,213,921,
683,718,926,768,400,131,927,749,383,425,267,388,668,896,762,129,658,296,239,
487,040,805,012,246,378,884,660,366,645,542,751,298,321,919,040,902,523,451,
746,851,315,581,084,549,000,680,051,417,785,781,891,847,070,253,739,049,406,
357,051,332,581,981,185,512,863,926,616,794,488,103,235,480,793,535,925,380,
433,045,048,775,526,194,562,500,640,372,992,709,515,713,994,641,735,357,574,
650,697,058,780,204,838,878,584,590,764,429,085,459,572,101,526,275,559,833,
285,727,772,129,178,242,222,427,045,731,672,829,041,211,442,472,641,273,167,
770,337,166,806,019,797,054,422,377,675,210,881,314,939,310,207,321,327,799,
777,188,568,745,607,256,408,210,504,428,096,131,024,592,416,151,384,318,292,
200,556,942,962,597,304,461,528,534,715,919,156,193,753,562,756,340,765,998,
426,111,409,682,247,547,970,173,352,700,538,457,617,828,359,171,730,091,204,
528,119,006,735,401,579,976,346,984,196,159,468,367,561,941,028,493,761,857,
552,465,809,931,633,868,116,018,818,336,397,683,956,066,886,051,315,848,464,
249,330,359,769,916,605,258,739,560,457,207,805,242,490,526,916,024,206,680,
112,106,332,764,000,423,040,831,095,399,513,842,966,956,378,750,582,668,740,
595,437,603,835,537,803,308,345,241,617,992,408,483,182,219,922,033,358,704,
888,231,123,195,767,868,273,276,691,947,323,351,025,912,662,131,645,336,936,
592,822,071,995,696,669,782,842,628,063,529,763,023,540,015,758,078,759,839,
863,344,214,716,342,084,817,642,752,673,859,245,273,350,742,612,826,787,333,
068,744,203,467,160,231,601,260,761,811,539,040,820,697,007,240,705,949,478,
377,170,895,356,933,854,971,234,295,081,863,625,845,487,764,226,358,709,761,
500,128,871,748,378,380,895,762,368,202,236,566,432,008,759,172,860,456,231,
772,398,012,613,632,878,644,144,107,458,079,032,431,552,809,583,591,256,698,
216,422,103,258,861,377,553,622,780,105,009,540,148,287,615,059,353,222,338,
409,841,426,620,578,720,331,925,978,131,195,817,677,695,249,488,480,685,189,
268,578,308,099,045,790,110,778,383,383,315,912,703,119,592,566,725,588,182,
365,672,235,522,083,001,915,499,544,820,951,031,074,063,557,790,530,246,706,
801,281,842,168,029,908,800,042,648,343,490,678,081,337,886,055,665,907,415,
393,094,080,332,864,132,423,234,103,716,795,602,465,924,664,810,856,533,046,
701,955,496,764,058,915,110,155,524,205,007,135,719,688,090,907,375,401,906,
209,191,237,468,991,482,775,537,864,333,496,845,770,824,873,021,372,625,280,
605,050,521,535,806,902,815,953,047,057,364,273,712,645,651,786,369,628,450,
008,549,964,110,859,062,946,905,916,567,415,934,304,203,437,628,814,104,535,
272,851,775,327,137,312,517,839,370,595,637,716,606,733,101,896,854,109,985,
211,359,477,547,107,624,247,191,616,332,951,492,499,191,406,740,210,849,604,
041,351,672,016,696,998,345,155,818,968,105,013,418,906,919,257,634,432,044,
004,785,499,128,849,366,067,785,090,257,076,609,651,548,680,690,990,906,324,
891,163,112,913,869,027,743,039,615,424,292,765,455,339,196,194,667,207,933,
881,636,840,508,032,940,222,149,106,790,696,181,249,477,386,513,928,380,814,
488,065,612,452,190,721,163,364,555,147,018,549,494,714,065,764,926,824,846,
378,729,723,626,354,721,373,330,950,984,160,477,826,080,454,955,816,953,249,
708,766,100,083,256,476,642,274,934,872,558,790,819,150,115,546,346,621,744,
222,478,746,862,523,059,356,580,997,871,265,029,102,306,607,468,261,549,562,
777,928,454,289,334,693,543,123,438,010,034,008,654,093,796,006,954,348,880,
194,356,854,559,003,627,406,939,888,074,333,706,535,374,021,447,662,434,917,
884,269,402,473,390,552,693,317,900,411,650,680,725,001,836,637,933,626,967,
549,456,796,954,143,890,011,412,241,082,808,409,409,742,539,203,108,427,066,
857,838,599,770,868,980,949,497,439,719,861,591,312,569,113,580,994,580,582,
956,238,550,493,169,021,311,589,716,823,359,810,271,753,025,407,031,695,189,
703,202,954,723,324,291,463,852,020,594,347,302,385,136,158,751,686,443,042,
651,307,354,854,085,741,274,445,953,095,008,651,847,255,779,213,487,488,367,
432,154,698,977,317,428,641,022,386,856,965,761,480,182,301,228,166,083,172,
244,966,009,386,235,016,867,425,295,298,228,323,252,508,057,313,634,537,627,
198,729,327,699,893,173,284,940,850,551,812,124,386,078,271,363,672,992,015,
730,672,478,243,937,555,427,099,901,452,070,523,503,261,704,360,259,288,745,
130,512,166,737,792,876,101,237,104,386,879,431,568,082,793,735,220,568,120,
002,460,811,639,177,445,052,955,309,202,154,173,380,622,215,023,038,417,995,
979,337,884,623,801,569,385,799,748,517,591,818,423,850,396,025,154,013,254,
553,008,032,182,840,174,258,779,669,550,175,937,799,814,694,402,553,074,381,
994,188,746,338,890,803,057,061,912,409,544,184,904,250,870,464,093,353,623,
135,355,272,596,145,367,844,062,648,412,960,029,416,087,054,783,477,153,712,
587,574,687,052,669,407,650,469,509,304,942,680,015,918,089,359,866,196,292,
590,380,622,307,945,909,498,955,286,101,025,486,135,519,325,616,709,646,244,
772,411,512,646,262,432,372,287,002,492,246,570,295,846,746,425,572,449,528,
912,490,553,794,507,585,285,211,983,101,278,039,732,062,361,163,710,807,239,
034,231,584,429,139,752,170,374,678,952,637,688,492,349,605,327,046,014,376,
580,946,102,411,734,340,341,773,348,433,373,018,867,240,989,980,146,964,656,
376,932,388,915,032,705,349,877,274,036,862,433,087,910,152,525,650,246,034,
135,843,989,867,759,491,095,089,288,940,689,364,026,979,562,400,150,117,109,
483,184,969,905,031,248,803,995,973,378,236,792,158,439,698,755,682,520,955,
242,439,306,750,189,918,891,578,209,360,194,970,463,603,889,411,149,232,135,
813,814,831,366,416,825,658,460,317,272,815,525,698,579,336,365,861,001,258,
330,135,842,844,735,752,807,145,503,604,350,998,108,475,846,627,803,542,951,
198,748,916,910,418,919,781,506,891,987,127,236,822,227,558,918,834,947,496,
000,896,181,807,956,289,688,783,186,954,143,146,482,170,040,778,785,281,648,
453,772,462,964,669,431,224,993,982,720,675,753,051,891,035,839,950,379,477,
437,898,389,578,524,954,170,059,129,415,584,372,996,440,351,832,439,541,183,
274,900,065,472,468,048,067,137,319,267,140,918,371,787,654,733,425,836,222,
874,788,005,072,167,519,622,381,385,725,654,081,609,872,977,995,233,013,801,
128,562,943,906,462,432,727,268,153,445,802,159,417,308,894,985,550,231,116,
994,832,140,943,251,152,997,959,069,531,017,012,555,495,068,561,589,869,014,
684,055,697,360,251,886,014,233,663,063,853,684,578,406,698,116,098,139,396,
204,042,351,969,874,636,340,184,562,448,240,224,169,282,795,974,706,578,738,
127,571,754,437,850,461,319,846,670,687,576,583,333,967,329,537,792,078,573,
202,308,405,013,944,386,605,895,327,188,243,840,972,975,397,167,983,829,604,
845,402,197,675,299,911,663,511,678,494,567,616,585,846,933,243,001,498,083,
909,227,177,676,689,406,472,799,913,603,103,940,773,000,412,641,454,527,979,
960,183,655,240,216,268,135,969,956,948,685,394,616,057,993,072,494,638,014,
052,883,093,951,308,109,928,262,675,458,115,305,055,372,564,865,171,545,342,
532,940,614,816,621,441,874,369,141,637,340,025,820,338,559,656,963,644,526,
760,672,521,806,185,047,494,980,147,269,986,415,482,909,440,147,671,731,066,
811,196,646,922,829,045,729,447,463,922,421,767,039,556,796,530,488,960,007,
177,764,863,101,134,838,250,301,290,202,821,057,078,954,940,188,479,411,134,
733,737,738,940,757,302,678,006,989,080,547,997,781,329,448,866,779,995,906,
252,650,488,931,931,801,025,764,435,629,033,220,928,021,430,227,190,370,959,
183,016,270,327,017,600,611,331,509,452,595,311,089,442,652,247,463,769,409,
983,114,789,283,927,225,392,638,218,415,630,707,045,344,071,901,392,635,738,
188,678,882,709,485,288,661,034,222,216,557,141,288,561,465,406,407,338,630,
996,190,845,716,126,271,022,517,749,245,470,427,327,200,528,368,351,367,090,
549,709,896,410,995,361,324,479,664,736,515,587,215,367,527,006,733,119,252,
649,420,472,860,737,539,461,972,144,476,754,237,528,473,750,105,794,307,128,
026,280,476,254,445,268,632,553,042,152,530,436,046,482,810,099,091,778,806,
879,002,633,797,584,025,367,614,168,273,041,510,760,726,483,700,443,709,293,
822,471,271,325,513,454,466,974,679,099,860,917,304,705,513,938,305,354,643,
622,910,743,680,505,575,830,507,116,603,338,871,584,317,169,452,510,248,109,
286,445,364,335,448,537,407,699,106,174,693,487,711,707,141,981,009,498,195,
771,638,044,072,087,987,844,544,838,599,125,778,184,320,555,477,654,310,339,
898,468,794,797,474,136,651,514,243,397,984,815,043,245,993,556,925,336,917,
128,600,211,821,773,134,045,318,232,421,516,913,828,646,450,131,314,343,035,
706,282,084,507,639,074,893,838,086,552,457,326,128,385,789,098,153,583,333,
600,520,265,561,916,711,735,643,477,166,849,955,835,411,676,312,775,820,927,
274,598,028,731,634,965,219,356,245,244,214,545,233,229,792,713,440,986,649,
326,578,233,802,935,865,297,976,498,622,902,094,179,408,998,866,231,235,083,
336,593,508,012,861,529,851,294,486,886,036,291,983,679,592,920,500,054,293,
018,931,193,644,071,675,948,762,552,090,438,255,347,592,921,158,986,823,883,
300,629,555,213,142,235,369,744,558,229,000,184,260,332,750,354,319,485,916,
396,331,819,068,518,372,997,155,352,867,448,743,362,288,886,230,749,893,059,
269,686,462,749,448,271,993,051,478,374,799,414,620,035,117,018,955,466,357,
161,344,597,655,668,296,273,254,267,750,106,086,223,109,372,331,469,986,031,
142,779,676,886,652,719,053,413,857,576,958,629,720,702,625,432,563,109,421,
733,004,855,604,623,134,481,407,677,349,429,492,298,849,415,858,426,659,708,
732,218,259,311,875,962,959,408,214,486,707,818,046,995,180,839,907,272,139,
675,820,877,239,842,495,022,101,986,644,530,266,781,236,728,879,496,318,919,
235,793,767,492,325,312,648,115,258,741,225,535,818,864,468,423,982,413,693,
696,158,930,759,066,765,408,776,233,535,033,610,298,322,363,816,215,606,027,
673,471,158,019,888,510,772,432,587,998,846,490,226,931,802,757,776,714,510,
472,035,770,576,568,716,171,741,225,470,708,993,699,278,385,634,141,691,281,
528,799,232,615,126,700,431,271,384,196,794,299,922,756,844,808,416,270,813,
591,434,525,989,563,334,165,257,928,129,886,831,289,219,950,747,712,599,205,
352,500,098,936,531,840,264,613,304,568,219,549,147,433,933,713,681,342,180,
028,315,087,766,031,447,543,953,086,990,186,895,625,896,155,409,821,025,099,
921,157,656,401,948,597,152,135,536,828,603,540,761,384,195,979,204,748,657,
599,673,985,066,348,678,515,592,620,792,662,723,655,574,324,974,859,885,228,
286,528,099,026,817,034,593,449,975,309,403,511,083,319,672,893,089,844,749,
508,989,878,652,904,478,423,243,672,433,729,581,935,621,058,894,392,764,016,
483,637,583,631,247,611,234,938,056,801,761,139,713,588,969,121,559,874,371,
569,672,724,080,191,109,025,784,654,779,980,057,777,850,419,618,947,889,711,
136,744,144,852,155,813,234,941,919,769,944,342,033,818,819,868,741,271,231,
096,297,269,770,371,077,801,133,935,871,985,840,544,458,796,616,577,951,948,
926,808,011,380,682,347,971,084,763,507,557,654,167,643,472,729,663,291,444,
751,103,485,983,687,819,022,526,318,645,451,510,792,389,872,907,831,222,672,
767,277,174,709,828,411,656,576,700,053,457,897,691,050,046,570,008,356,641,
829,941,657,240,818,403,321,238,951,765,532,675,773,304,316,460,673,345,471,
260,582,519,340,809,088,198,698,843,905,469,225,540,309,150,146,345,262,615,
770,819,978,186,281,374,338,726,068,041,316,518,182,596,605,125,911,845,676,
185,241,975,611,237,766,041,192,691,415,312,722,034,283,558,317,325,634,054,
515,231,111,777,341,660,404,262,835,944,304,230,716,855,206,780,267,240,437,
241,543,710,228,846,720,864,782,377,067,842,720,765,658,036,590,599,676,681,
388,850,865,474,296,298,286,427,077,716,937,893,113,745,783,239,654,913,775,
502,707,185,793,730,246,950,976,228,435,381,489,203,145,707,224,546,122,725,
523,213,713,075,114,938,043,843,936,953,097,032,396,183,118,555,053,515,939,
024,308,590,935,658,128,334,193,044,488,513,364,259,222,083,442,801,025,492,
970,063,446,539,924,351,851,596,413,552,123,745,843,180,836,667,987,540,892,
062,716,418,525,156,578,272,901,234,641,710,244,430,943,788,839,317,989,824,
746,013,246,716,145,182,457,205,819,547,815,324,252,970,574,035,333,601,291,
583,914,358,494,278,673,828,940,333,424,744,849,280,449,870,293,770,789,647,
263,861,853,546,581,007,052,830,061,739,221,511,983,575,288,713,511,787,542,
204,986,461,708,326,532,635,420,617,506,602,465,838,956,229,275,764,937,416,
192,823,439,471,466,055,313,507,270,404,353,860,816,447,809,404,625,019,058,
421,734,007,863,215,719,226,130,776,428,322,609,225,433,222,698,335,937,643,
869,305,921,333,541,156,224,660,494,843,074,945,342,861,536,718,055,935,342,
051,080,993,034,454,537,652,668,647,554,377,485,237,794,607,778,567,222,777,
658,635,029,673,223,267,607,606,894,157,128,809,393,455,743,885,550,857,852,
017,879,622,030,412,873,964,899,580,704,775,397,892,298,094,889,649,712,914,
265,626,514,855,000,713,267,801,725,397,251,538,174,198,826,812,262,521,990,
846,550,908,286,533,408,262,500,529,279,229,682,752,342,638,901,413,693,064,
071,233,998,549,421,618,833,872,583,475,946,141,320,406,667,389,480,742,863,
479,283,639,934,092,609,002,794,500,791,950,434,794,513,561,466,448,525,642,
451,009,662,127,468,742,432,083,891,231,482,611,669,584,612,444,869,832,527,
547,166,946,988,439,039,048,008,760,492,309,155,547,090,243,294,684,196,369,
838,023,900,861,487,799,596,422,108,200,186,646,710,338,449,567,630,938,242,
227,908,039,354,271,356,017,435,422,480,115,070,076,035,243,869,652,380,765,
163,073,876,449,101,664,929,291,999,593,584,735,170,382,680,601,978,165,210,
723,629,270,061,826,592,193,640,261,039,323,624,171,111,095,465,163,915,271,
014,276,242,126,702,555,552,400,843,677,250,385,829,513,360,106,324,895,324,
261,964,870,085,516,990,467,998,953,591,485,024,044,783,364,025,363,096,367,
190,048,791,999,902,956,534,987,556,917,815,152,596,745,246,598,405,750,501,
075,247,655,271,178,642,997,191,172,956,286,357,541,530,734,523,796,952,568,
522,374,326,981,832,528,333,777,427,751,837,079,056,226,217,417,735,954,574,
930,030,126,503,802,165,810,764,664,441,079,332,546,616,866,317,983,684,631,
067,637,755,121,402,324,507,919,181,352,011,404,208,087,294,601,526,453,772,
763,821,925,474,833,089,010,984,816,215,382,135,334,726,970,128,658,508,208,
490,961,425,298,965,728,874,397,077,056,701,159,467,646,369,750,780,305,967,
127,597,784,104,356,366,971,299,110,111,987,643,509,816,438,161,606,742,093,
453,667,482,569,028,738,542,241,803,914,803,105,103,950,504,801,461,007,244,
954,453,248,860,688,108,388,342,113,914,642,153,859,789,612,306,535,884,478,
688,129,018,969,111,462,901,401,469,798,953,700,588,269,011,490,606,611,566,
423,469,364,414,114,301,805,682,333,258,709,735,672,127,417,767,590,381,648,
491,192,190,534,784,810,330,409,913,574,787,720,749,211,829,561,948,857,493,
129,424,761,703,910,000,703,581,087,141,732,232,169,854,544,082,864,736,314,
546,241,351,432,654,219,683,525,910,404,079,887,384,224,781,475,715,370,520,
704,370,430,459,659,966,392,108,234,528,564,137,124,991,579,098,659,701,212,
785,329,805,257,311,717,553,359,681,936,603,287,938,212,047,052,034,001,409,
650,323,620,033,762,528,483,307,772,726,275,678,645,355,923,463,751,413,213,
728,225,218,311,056,410,988,870,332,192,620,775,526,094,580,936,837,423,688,
593,749,456,888,753,937,157,083,530,119,898,794,339,057,071,649,010,167,586,
849,688,537,588,946,628,905,809,095,612,562,511,746,772,154,097,840,726,764,
491,857,988,228,958,075,438,090,123,026,765,494,435,608,253,923,523,672,378,
147,525,251,999,386,621,969,061,741,368,419,055,060,419,937,520,817,745,380,
214,553,132,563,368,044,808,165,170,029,411,210,383,669,589,535,738,348,589,
289,440,937,433,535,093,269,510,960,025,130,328,487,881,283,605,427,337,427,
507,628,713,817,705,249,765,526,836,701,474,347,282,553,444,742,566,823,193,
779,641,473,316,938,670,945,366,523,765,963,829,857,026,549,035,479,391,543,
467,312,107,736,234,091,847,711,875,520,693,780,755,632,509,400,275,154,530,
337,056,084,291,771,387,814,315,198,945,392,748,728,861,488,133,517,567,830,
415,333,567,566,901,390,477,832,901,406,166,492,174,353,066,288,640,414,444,
156,724,517,752,609,450,507,256,263,740,463,142,138,808,928,322,238,606,658,
827,872,004,823,074,156,034,122,387,094,945,015,282,232,301,571,477,853,852,
074,821,720,701,927,375,691,589,480,120,924,576,658,024,468,231,499,021,763,
098,104,797,422,807,018,270,711,603,787,098,825,862,219,015,817,484,783,482,
392,866,443,236,667,770,806,131,623,346,344,112,485,231,755,480,244,316,138,
982,116,942,413,039,602,647,192,678,743,762,091,475,693,388,118,825,216,446,
091,449,783,365,375,234,050,179,953,156,091,771,558,582,183,630,807,499,339,
578,838,207,467,562,072,092,610,775,216,489,745,986,227,357,456,007,233,499,
214,543,276,595,966,790,131,523,862,055,152,236,481,771,758,353,767,480,207,
028,540,821,010,279,306,017,592,100,955,420,259,465,284,662,756,404,348,699,
375,002,681,157,799,473,115,148,340,567,680,795,188,207,231,042,378,664,784,
300,342,250,808,966,432,372,402,506,891,618,889,968,788,633,489,155,176,239,
215,814,635,102,869,334,445,516,535,176,202,314,606,553,895,195,437,878,973,
622,885,979,355,518,240,900,657,255,489,092,318,698,304,427,468,138,814,418,
395,115,394,068,870,915,182,856,844,321,318,786,556,658,902,829,846,355,635,
831,290,668,797,766,241,436,750,117,652,922,410,054,999,555,843,857,925,332,
517,284,362,326,513,297,217,696,454,912,696,040,935,912,108,444,836,795,923,
315,992,585,376,836,309,590,102,680,282,163,373,508,631,529,968,388,968,786,
288,246,964,799,437,731,718,178,070,950,375,553,666,247,998,391,203,780,761,
172,428,611,910,645,307,252,564,626,578,853,599,452,740,413,760,673,539,776,
785,170,631,082,019,189,505,174,876,725,266,508,038,816,055,482,349,927,994,
172,709,615,664,082,791,238,511,207,196,284,470,980,585,250,912,854,046,561,
570,838,874,304,399,001,014,046,747,445,174,472,524,454,299,251,629,907,571,
730,949,263,933,561,556,428,833,659,865,035,712,531,381,577,498,416,744,020,
093,557,050,595,373,855,645,462,301,954,560,051,798,994,846,647,499,735,206,
966,041,964,905,278,606,916,877,574,801,610,973,574,386,385,536,690,377,408,
329,787,020,702,693,387,857,068,981,782,118,079,807,139,265,428,779,142,545,
421,795,426,021,743,858,083,910,315,945,154,523,660,228,221,769,624,819,594,
391,247,238,304,519,878,695,150,326,117,976,127,940,361,748,986,806,512,673,
445,160,825,610,130,150,585,917,710,664,769,768,893,106,083,558,600,969,266,
216,379,158,969,686,298,560,640,712,192,738,643,173,489,694,117,221,687,731,
150,977,187,136,394,283,042,755,226,771,645,347,149,315,252,324,768,191,242,
341,421,804,235,328,193,006,821,421,712,619,444,658,987,378,410,306,426,073,
984,534,961,109,229,086,578,833,825,798,164,112,405,274,068,146,696,895,402,
075,310,132,104,441,118,152,559,783,232,451,847,082,410,476,784,005,960,169,
311,369,220,093,712,419,572,577,417,620,459,405,268,479,832,515,632,241,414,
744,870,209,841,075,685,004,115,965,575,857,714,499,736,094,637,060,273,534,
050,203,164,147,864,395,095,267,479,454,472,279,595,411,838,469,006,286,869,
327,586,626,519,704,072,439,069,819,622,910,301,272,086,913,338,266,757,713,
800,039,111,634,771,958,178,689,536,206,622,901,262,637,213,325,697,661,407,
622,214,150,476,233,910,069,657,718,500,318,894,460,048,172,857,299,556,792,
069,198,529,666,547,303,535,194,019,542,894,721,694,277,591,516,461,310,329,
682,947,747,445,099,998,780,382,188,525,653,217,869,576,916,189,212,727,804,
954,638,637,120,687,180,950,338,973,782,449,678,414,057,587,652,868,610,717,
847,740,866,757,578,666,189,038,224,521,835,579,377,619,341,615,091,538,064,
911,612,507,997,209,693,446,784,107,986,571,284,367,138,085,476,669,068,107,
942,033,827,884,803,986,541,355,120,687,269,314,694,662,765,871,561,118,349,
486,038,460,641,477,475,479,197,695,079,463,193,032,318,626,612,182,769,330,
641,246,945,196,276,156,465,789,000,869,981,621,877,278,519,477,210,521,638,
656,653,407,805,055,199,883,992,836,486,713,561,273,769,223,559,618,486,305,
623,961,924,262,047,809,141,952,415,174,907,479,905,724,889,417,230,156,239,
135,671,383,231,811,518,498,719,272,250,279,798,561,663,786,918,232,048,398,
383,855,667,542,904,389,432,713,388,023,779,370,208,523,250,654,043,362,516,
569,566,681,104,958,201,016,872,988,471,705,053,397,618,722,418,504,202,510,
185,824,001,025,104,656,521,233,367,023,396,127,384,926,329,129,842,288,547,
710,505,118,499,353,590,400,468,255,668,576,840,993,269,109,252,208,332,952,
150,701,646,937,931,215,289,636,881,473,053,995,189,719,485,144,931,885,849,
827,839,439,208,421,693,183,256,767,687,523,329,690,567,899,974,718,316,371,
463,771,007,495,144,767,406,563,376,502,757,734,422,469,225,392,680,065,220,
578,984,198,557,620,184,143,879,808,448,954,952,786,337,271,525,750,122,475,
223,844,204,877,719,427,030,536,098,143,050,165,166,667,388,778,838,981,932,
857,919,624,134,504,117,803,414,724,821,013,486,937,083,232,791,756,371,033,
677,361,654,132,036,848,430,648,633,309,756,408,979,809,538,804,275,207,912,
668,130,224,363,923,320,923,770,876,490,973,431,123,305,782,873,124,855,024,
365,891,825,765,368,289,524,938,732,213,770,802,025,674,368,175,542,540,665,
774,401,700,607,121,715,163,188,566,532,761,327,290,603,823,603,635,640,151,
403,393,191,730,377,029,050,354,660,798,974,512,022,814,839,037,354,402,315,
989,819,975,041,196,805,562,852,091,388,920,185,741,566,547,871,181,085,733,
783,074,641,573,702,348,381,858,861,261,739,290,301,984,425,443,631,978,055,
025,584,296,056,429,415,503,040,008,996,251,747,499,082,344,016,038,462,873,
210,577,949,384,556,386,736,411,520,179,492,525,210,122,157,413,698,605,571,
588,390,259,750,359,795,148,582,126,583,455,669,043,284,902,524,189,778,636,
882,020,373,001,133,337,924,478,085,654,240,024,609,721,500,360,601,285,878,
474,966,133,338,067,835,277,880,854,742,278,577,422,038,156,364,345,307,092,
482,868,597,428,181,600,523,616,446,842,838,870,175,681,727,471,791,533,865,
161,985,859,403,073,346,397,675,783,556,326,682,258,886,990,299,673,305,945,
610,001,728,162,724,318,630,112,102,731,096,761,552,697,711,247,234,402,611,
595,769,881,541,034,217,639,973,050,497,707,605,307,768,028,294,918,453,839,
841,479,178,379,450,307,858,011,806,807,100,831,091,120,516,146,000,034,529,
898,499,503,268,069,373,165,567,360,373,891,101,369,373,970,011,833,376,131,
030,207,038,064,522,497,275,465,152,186,707,342,656,674,451,512,176,787,224,
231,926,217,389,503,188,039,525,244,242,189,931,906,937,048,998,176,244,635,
714,456,448,270,926,586,912,853,591,015,011,506,243,925,272,981,035,259,721,
381,269,087,580,045,294,459,252,253,282,848,821,673,895,976,966,787,765,205,
974,186,267,750,923,535,686,246,750,179,527,389,467,487,508,638,180,042,194,
032,804,009,822,591,383,342,214,036,809,440,712,313,369,640,763,933,102,470,
629,846,071,021,650,452,540,518,174,465,343,469,900,113,381,118,486,611,245,
844,969,356,323,357,403,624,363,967,578,636,152,764,626,604,426,470,804,333,
908,535,844,250,333,221,672,517,740,869,839,086,016,468,193,409,458,572,262,
419,132,843,153,660,237,448,799,875,987,851,058,704,517,091,803,338,476,996,
481,151,032,411,731,300,832,897,751,109,550,285,521,977,154,949,048,202,572,
023,143,257,216,377,352,591,030,122,151,564,268,532,376,293,432,892,604,077,
764,250,533,391,871,892,123,474,356,559,098,619,070,827,961,348,371,797,618,
794,514,147,348,538,394,860,250,108,933,602,511,793,819,426,900,100,017,221,
424,801,731,243,216,231,441,945,947,909,113,952,373,123,109,862,116,444,610,
535,065,621,791,069,255,714,921,419,494,967,200,747,480,621,894,909,783,505,
550,196,024,720,715,414,398,753,154,320,163,863,525,113,629,871,664,326,611,
236,314,290,664,032,348,431,293,455,871,582,747,017,093,791,047,012,260,230,
825,078,236,674,148,073,500,224,233,458,314,393,313,461,192,053,612,816,847,
564,726,246,694,057,495,044,419,019,299,829,005,299,343,936,422,936,996,650,
662,819,192,201,753,625,550,711,841,931,446,085,581,755,662,817,900,389,933,
194,562,179,890,609,173,027,414,397,141,039,512,494,489,158,385,374,859,889,
815,302,040,793,660,363,108,470,346,268,939,751,389,264,017,458,027,773,849,
197,997,589,139,557,603,240,812,398,631,819,568,312,840,440,089,758,353,574,
322,563,434,527,727,453,212,394,389,102,737,580,792,997,505,092,452,545,801,
185,391,784,080,353,150,716,173,425,423,970,432,311,993,194,790,309,472,826,
979,458,576,290,815,013,505,761,800,179,018,207,532,345,960,841,717,221,651,
938,009,273,621,569,134,937,647,135,040,629,884,113,582,037,318,299,954,331,
031,373,490,010,548,481,436,329,145,777,825,436,215,958,639,192,030,686,347,
902,654,070,140,831,604,779,349,175,499,705,071,955,816,172,306,288,759,875,
342,333,440,176,291,912,631,370,237,197,595,211,411,110,951,593,769,030,365,
019,912,003,737,179,383,311,551,341,298,700,615,017,601,336,370,259,844,411,
236,606,537,935,065,916,171,889,289,505,316,245,766,307,346,073,305,588,611,
834,021,054,921,981,826,286,817,721,176,078,880,310,501,404,493,189,311,240,
058,206,866,161,975,755,950,429,931,178,747,348,027,514,513,611,815,712,902,
719,516,951,072,621,452,594,704,915,293,406,462,801,653,758,135,175,790,296,
485,431,609,138,358,930,515,393,406,697,363,199,255,633,360,148,586,713,167,
766,624,790,182,170,462,961,914,492,471,765,682,688,347,573,753,231,936,089,
606,829,182,275,315,894,214,762,168,966,030,788,231,159,249,294,883,658,960,
286,103,234,968,981,730,814,798,857,063,365,173,901,879,307,905,136,572,442,
765,981,549,856,204,713,775,853,328,599,738,332,757,959,459,227,113,461,875,
810,432,438,460,216,126,252,648,091,752,238,819,484,798,551,099,565,138,442,
692,099,507,403,302,515,304,439,154,989,152,911,226,384,389,390,004,006,445,
656,367,178,249,599,319,526,488,810,404,262,003,137,942,243,216,155,748,626,
886,291,092,328,035,070,037,210,529,097,521,650,697,693,960,803,985,630,266,
176,138,121,869,861,632,782,410,868,490,510,118,747,758,000,308,638,784,162,
557,520,283,403,597,152,428,577,290,508,983,587,165,498,427,726,272,260,435,
872,262,818,441,248,309,504,285,573,637,503,392,927,920,131,336,788,924,424,
054,801,085,322,131,116,313,979,021,263,521,869,125,708,383,913,940,466,180,
341,501,923,217,178,053,348,928,376,273,836,165,358,290,241,445,949,098,857,
558,330,898,375,828,055,317,678,183,729,598,950,226,223,120,955,600,515,564,
619,947,369,531,653,992,335,231,220,403,957,795,827,954,930,766,516,967,756,
853,101,008,403,971,047,520,385,157,748,180,813,044,078,741,224,068,884,187,
079,674,401,555,342,195,692,722,704,553,335,969,179,387,927,784,613,082,674,
515,703,242,204,664,213,852,195,218,782,205,469,922,714,702,590,775,729,269,
830,558,589,004,684,684,833,914,350,955,951,003,857,702,293,140,617,058,862,
004,566,958,363,067,646,065,937,130,997,611,403,046,632,851,660,035,165,162,
657,604,722,215,415,524,960,009,918,431,688,749,704,236,086,984,535,818,333,
890,596,318,543,155,611,867,402,055,209,009,960,733,346,906,185,309,009,005,
659,497,798,781,332,434,565,669,136,276,671,292,190,604,823,546,694,673,067,
525,549,510,689,428,538,511,704,011,366,942,720,172,636,561,615,913,368,432,
628,724,689,586,344,454,880,002,756,774,871,743,894,411,383,690,877,014,427,
864,340,743,592,842,917,814,059,938,404,776,141,570,295,682,819,403,757,413,
485,439,360,983,909,374,023,585,129,844,799,577,298,018,837,933,889,106,146,
835,081,498,084,784,978,163,211,664,602,909,010,320,578,028,440,620,746,885,
730,699,877,387,933,062,358,488,186,712,474,334,164,622,221,504,598,542,127,
951,960,114,590,812,215,580,694,020,987,688,850,409,157,628,158,230,135,776,
588,501,851,138,596,587,035,612,711,272,459,660,530,576,789,953,645,140,340,
882,446,267,443,224,712,284,959,379,325,856,199,155,959,205,195,081,511,244,
750,676,626,369,772,504,213,498,429,518,773,006,955,372,935,297,240,771,339,
619,993,563,330,867,000,301,676,144,991,999,892,256,417,059,709,831,949,608,
826,865,585,800,245,714,928,930,157,365,664,026,811,736,663,483,674,722,225,
027,907,416,468,807,195,392,344,545,519,783,256,334,947,128,917,946,242,895,
894,834,958,935,536,970,164,774,668,526,901,763,926,574,927,408,953,666,473,
137,437,546,357,643,040,273,447,080,384,243,061,646,963,729,017,229,946,639,
634,694,754,038,777,033,432,879,870,252,697,432,045,274,167,846,948,245,007,
046,306,772,617,634,921,317,171,594,013,864,238,806,152,436,052,274,899,336,
244,924,003,262,561,408,188,865,070,879,116,359,137,688,426,521,080,881,144,
274,811,337,606,801,532,335,482,318,960,011,107,776,608,829,970,508,257,909,
539,551,192,440,072,611,309,402,234,350,029,135,976,841,820,919,704,067,437,
987,626,190,546,384,819,182,271,565,892,424,888,646,656,132,047,834,487,878,
850,801,095,564,990,390,072,958,378,196,577,977,591,909,840,256,046,664,317,
402,817,441,118,577,074,973,639,211,175,574,814,782,242,785,363,406,702,302,
281,075,651,058,279,450,790,036,693,108,044,681,371,218,802,244,594,714,588,
122,174,110,107,325,446,247,522,175,313,005,248,968,768,145,468,157,153,744,
995,948,333,145,706,737,937,110,165,915,930,233,189,328,101,357,002,293,260,
904,254,205,868,946,271,536,992,564,012,344,290,127,946,592,569,087,645,866,
426,257,262,720,167,744,665,818,187,068,756,829,815,711,663,298,338,094,024,
408,181,733,091,009,813,252,741,882,988,411,560,388,475,557,364,980,525,816,
132,145,370,741,901,177,172,627,517,394,480,579,779,145,450,386,667,530,643,
676,706,565,314,638,965,974,714,594,681,398,229,034,897,771,521,780,226,164,
592,072,070,760,593,624,558,366,527,968,263,519,571,559,587,295,910,643,751,
676,598,975,752,874,337,150,567,573,014,387,252,758,983,913,812,544,741,953,
635,463,068,575,603,000,303,217,764,195,145,186,933,641,700,513,306,438,343,
047,910,916,924,150,405,902,276,932,996,331,999,597,137,426,712,654,314,257,
917,040,766,477,724,631,457,939,741,402,262,752,470,320,093,363,087,858,153,
279,492,256,366,681,884,495,807,969,618,220,008,123,674,131,492,447,958,125,
804,075,598,160,424,090,317,604,121,574,654,277,608,226,345,828,223,608,905,
057,891,315,153,163,069,278,762,318,925,518,258,401,889,630,049,203,087,891,
447,121,487,482,464,723,089,965,093,963,858,297,391,750,495,084,486,689,364,
015,964,999,430,213,840,295,868,234,876,215,296,331,377,036,469,200,977,871,
535,004,069,680,758,515,688,342,260,199,705,203,094,707,180,348,192,703,254,
361,660,131,824,646,845,055,735,645,220,071,869,626,008,638,561,840,629,698,
495,740,063,232,632,585,084,386,821,195,687,549,240,223,805,991,846,322,821,
359,263,492,380,939,458,831,874,206,207,814,964,692,002,423,067,319,382,100,
006,995,748,064,820,412,655,434,465,405,571,680,710,328,118,332,813,957,340,
280,931,703,980,660,283,662,894,645,909,679,706,746,322,755,331,307,193,280,
046,920,478,229,000,623,120,000,496,795,419,684,693,267,250,755,619,316,257,
290,534,814,415,069,365,167,663,778,480,171,322,441,020,011,425,550,591,321,
442,967,068,336,250,997,180,962,690,990,575,469,245,429,490,677,236,231,872,
226,328,742,414,188,160,590,836,013,757,432,413,634,067,047,775,540,849,256,
353,670,129,604,731,602,026,817,845,376,468,824,514,912,342,887,672,848,661,
234,133,505,906,300,537,150,475,720,897,492,816,277,689,326,637,376,720,574,
293,382,518,403,804,153,831,985,037,184,399,188,707,201,821,523,490,834,095,
870,071,870,195,603,963,437,073,630,000,766,137,569,980,198,598,201,249,767,
403,574,599,004,206,896,497,195,393,312,607,167,152,959,967,598,200,083,237,
725,679,055,925,036,651,010,286,849,483,037,031,190,339,863,874,462,834,164,
809,570,168,582,199,325,877,200,711,704,195,740,087,801,682,430,204,176,688,
844,863,011,175,401,030,160,519,149,421,773,398,709,083,749,851,884,219,190,
577,016,810,329,254,084,073,248,460,873,734,869,058,374,156,324,099,111,689,
396,273,007,887,270,584,229,514,737,675,773,141,762,098,060,898,073,984,721,
377,126,069,378,206,866,393,713,287,945,957,601,741,120,500,778,881,066,697,
650,271,686,174,483,220,638,850,197,710,585,562,668,669,984,529,292,134,491,
637,499,028,969,521,999,091,596,275,624,138,516,105,614,715,719,060,781,302,
301,337,998,772,523,816,053,667,100,594,238,603,194,713,914,414,658,343,343,
315,180,712,473,504,082,383,373,281,463,631,610,765,403,333,117,885,041,349,
341,826,133,311,643,075,071,658,900,595,195,439,156,368,685,452,437,676,530,
353,776,253,638,767,071,890,289,814,782,752,241,128,058,778,417,519,885,469,
796,102,717,300,758,674,796,298,069,459,694,080,523,625,041,706,533,907,174,
431,357,944,194,518,756,501,954,844,495,270,599,222,163,712,642,410,436,966,
349,662,266,709,054,797,891,352,744,943,472,900,583,861,098,105,610,238,141,
982,172,002,484,879,797,177,182,334,490,421,172,747,890,281,347,435,488,916,
280,069,838,123,754,061,220,098,631,751,783,638,889,521,589,235,109,196,262,
931,861,726,880,164,684,497,972,804,520,447,039,315,444,683,753,863,715,984,
077,746,730,000,474,031,526,075,790,404,723,801,915,933,945,024,264,508,042,
736,788,683,884,171,311,515,077,215,223,075,343,071,463,068,549,501,077,039,
743,868,114,633,030,825,712,131,686,633,361,142,496,452,204,641,555,604,407,
330,322,206,465,998,403,439,272,310,258,891,650,803,984,643,985,417,853,833,
795,171,192,919,169,150,750,446,103,375,257,363,836,573,377,737,345,864,352,
277,079,863,275,078,723,699,415,009,404,613,203,762,487,254,592,864,347,978,
099,450,986,559,107,386,122,482,745,447,870,107,810,978,106,110,872,594,872,
191,201,832,146,561,235,227,823,236,579,982,735,534,510,363,681,458,102,384,
717,031,020,864,037,598,089,996,885,318,128,617,745,568,448,224,026,917,156,
925,384,719,188,283,194,935,492,317,397,262,937,208,726,424,311,154,381,750,
143,563,863,829,401,652,109,245,242,463,040,077,667,311,231,380,486,427,001,
079,861,729,089,131,515,211,323,696,142,899,957,803,015,834,753,145,093,110,
179,249,541,502,464,711,323,805,467,117,815,305,752,051,333,191,658,483,257,
003,788,220,882,090,615,586,931,051,557,105,978,528,225,812,431,816,878,763,
320,153,056,032,512,523,860,907,595,122,709,138,455,813,368,094,154,342,425,
475,496,063,410,966,088,689,410,663,912,159,017,049,052,533,312,089,481,026,
559,708,004,881,671,440,925,427,348,161,017,808,517,218,728,579,113,780,873,
664,732,120,394,362,366,729,887,263,647,756,006,909,792,475,865,670,252,739,
408,680,562,216,308,315,377,723,075,307,077,092,194,107,735,959,474,190,925,
462,475,255,732,176,108,160,063,456,349,172,800,507,270,972,363,827,742,193,
986,118,324,347,195,586,417,206,510,251,332,209,436,908,278,147,929,044,442,
049,232,204,315,571,688,896,870,443,505,494,606,550,311,834,830,316,656,661,
101,643,645,190,455,171,644,027,094,966,202,123,494,080,444,664,913,299,821,
868,213,535,804,351,433,330,117,382,642,007,497,787,954,199,481,321,236,566,
924,233,507,689,982,603,439,959,297,952,741,009,237,524,273,223,983,721,080,
643,526,701,008,225,138,553,557,353,046,227,115,376,040,519,113,713,153,488,
985,050,688,203,768,792,186,134,097,784,646,918,271,138,785,721,691,343,898,
674,654,636,010,713,126,885,212,768,741,354,874,304,144,261,027,936,419,615,
793,043,493,863,050,684,717,342,174,822,667,878,260,542,234,747,756,879,398,
114,299,276,857,363,404,327,333,551,273,575,163,125,834,584,982,214,743,889,
884,866,640,670,408,675,345,500,356,960,404,381,362,396,278,946,271,432,306,
852,914,331,241,776,346,518,736,917,057,036,240,784,839,337,012,738,955,287,
479,020,809,613,691,509,967,091,886,876,494,159,079,188,517,501,475,207,196,
592,900,912,880,183,385,347,332,773,634,869,842,090,249,672,180,287,515,393,
896,730,006,714,355,084,404,921,476,710,902,483,722,483,448,170,502,148,023,
510,019,266,410,812,969,062,414,993,522,802,610,245,823,278,475,573,231,083,
100,638,097,165,512,461,553,473,936,408,508,448,783,240,220,259,036,405,223,
852,122,577,033,748,572,278,347,451,639,560,645,129,169,207,213,897,967,092,
957,921,375,290,791,929,336,120,251,571,447,691,999,367,391,918,180,076,751,
310,245,056,314,944,731,735,612,964,076,484,306,122,853,920,375,780,867,526,
633,984,461,079,357,490,950,941,012,375,605,935,998,387,758,210,508,742,659,
660,264,512,642,400,952,406,637,934,159,349,778,519,677,962,135,590,407,619,
760,195,800,454,410,714,990,096,321,934,643,728,605,526,361,458,181,059,610,
228,451,707,628,555,601,538,926,382,597,588,564,075,708,628,681,553,830,929,
709,145,752,847,848,365,715,771,827,489,583,292,095,117,782,556,175,626,564,
181,084,432,088,844,694,233,206,069,620,019,446,271,685,126,866,313,419,942,
322,980,127,403,235,018,231,592,861,180,338,719,303,226,331,020,750,557,957,
601,807,484,820,662,057,755,515,091,759,919,440,043,368,938,146,909,210,440,
109,001,193,563,433,258,799,865,926,076,168,116,531,272,910,484,623,509,141,
559,066,742,994,580,499,397,912,205,563,173,035,541,940,510,338,122,039,145,
702,398,031,568,341,576,856,325,130,043,124,015,769,260,678,532,941,765,112,
802,121,825,688,482,902,422,896,335,931,550,586,739,102,738,718,044,379,714,
851,277,689,287,150,727,979,777,103,796,327,866,002,652,389,720,843,512,349,
669,617,254,503,351,303,242,267,000,665,435,546,053,331,384,548,539,722,712,
112,530,665,499,793,449,436,978,630,807,976,408,221,700,082,863,356,666,470,
757,747,991,443,681,718,049,832,188,887,127,345,415,782,740,817,188,639,486,
297,227,632,441,440,858,003,612,651,927,950,776,982,012,059,095,311,872,103,
389,525,352,525,618,110,161,167,735,097,639,876,823,076,862,975,402,282,573,
106,930,625,413,055,002,309,546,903,227,352,683,078,823,366,097,215,469,708,
109,239,528,613,130,324,313,105,492,338,004,263,236,381,627,073,593,909,325,
716,891,020,793,434,781,198,676,603,076,222,989,217,505,855,989,611,049,455,
551,701,228,016,667,861,682,545,933,872,477,205,797,604,485,863,592,441,272,
315,013,240,275,606,620,045,158,871,658,870,618,681,219,767,084,832,381,093,
893,689,078,740,008,022,550,482,262,114,556,268,503,871,504,192,648,019,833,
059,820,026,946,458,157,419,471,945,997,993,176,952,570,385,042,139,831,611,
426,613,489,949,437,249,440,290,187,495,777,237,186,158,516,174,752,042,892,
746,604,572,279,559,404,090,027,852,358,078,652,139,229,032,159,013,195,088,
451,125,680,878,703,056,162,582,759,641,235,449,843,443,991,156,964,753,193,
461,685,857,165,169,226,042,169,614,050,352,398,527,438,990,621,625,834,080,
679,590,015,710,572,206,208,436,438,001,780,977,651,986,292,659,416,703,541,
194,960,534,302,110,246,518,694,581,770,282,633,837,317,443,158,395,595,984,
479,085,890,510,581,846,576,620,551,411,340,419,919,000,974,061,230,363,390,
884,747,319,654,588,187,171,207,869,459,182,679,288,847,540,225,907,922,652,
528,323,356,323,073,602,115,717,793,222,957,418,514,729,152,387,209,129,919,
124,856,695,437,572,714,473,938,030,401,234,512,773,849,039,529,338,971,890,
691,495,034,813,871,964,949,703,515,277,935,750,642,189,195,191,812,780,255,
565,486,084,266,414,817,644,888,569,830,089,771,938,614,628,726,022,774,634,
486,928,863,388,036,351,635,420,793,684,908,622,958,178,316,082,475,736,811,
808,013,172,355,564,214,049,686,598,761,049,528,637,845,810,289,755,374,934,
803,878,294,568,847,635,321,948,415,164,872,282,635,156,233,484,703,451,302,
047,062,232,954,630,524,597,504,753,116,149,494,579,768,310,307,540,888,134,
383,795,175,898,291,792,533,351,825,969,434,283,194,564,431,042,296,885,658,
140,411,744,822,595,320,761,708,935,171,439,437,718,539,261,247,050,064,504,
223,217,476,070,646,879,004,766,777,565,674,328,183,524,924,852,485,736,316,
259,213,035,510,660,364,992,451,959,487,982,640,949,455,859,494,765,358,525,
171,082,694,911,382,466,539,507,762,153,398,957,293,655,973,668,495,654,700,
692,324,177,425,122,396,261,724,739,381,857,094,123,089,152,009,833,728,675,
131,114,589,874,087,940,848,404,748,874,505,749,613,846,830,757,867,073,144,
290,757,175,861,372,745,938,428,327,770,907,631,165,820,919,874,453,073,986,
492,754,805,095,874,312,232,309,370,338,251,479,593,472,904,979,716,750,848,
145,988,218,445,721,241,187,839,799,854,469,978,047,501,872,393,693,156,482,
534,284,429,053,520,345,093,341,650,791,737,099,515,183,125,384,232,894,810,
342,515,100,671,037,078,142,068,913,282,465,640,960,117,998,521,853,244,754,
768,061,380,019,225,435,336,252,215,232,263,473,437,122,725,511,803,175,338,
761,491,513,850,812,184,730,069,246,197,202,659,594,327,065,361,610,977,935,
979,853,541,479,453,276,261,756,685,338,247,848,513,147,556,458,813,432,701,
634,477,847,098,866,992,754,077,488,151,442,068,245,102,213,309,231,882,592,
638,835,420,401,927,154,828,036,522,293,889,462,137,771,605,333,068,085,644,
087,615,722,470,056,384,131,449,315,514,394,543,877,537,982,636,279,108,932,
056,306,006,335,278,673,296,518,590,669,389,762,138,363,623,220,610,177,607,
703,253,945,409,679,318,156,793,536,260,315,056,124,457,428,953,659,193,786,
203,018,005,003,961,039,026,931,484,803,744,232,182,775,208,758,570,709,181,
966,195,964,816,591,380,863,909,418,868,312,563,429,181,161,122,833,247,925,
938,094,508,806,458,403,664,410,935,319,756,862,775,895,700,677,166,795,480,
871,480,209,682,594,595,446,758,870,393,381,900,694,104,848,287,265,148,128,
541,906,108,215,422,890,673,728,290,704,065,289,734,079,382,720,490,280,134,
175,050,479,338,369,631,998,938,290,453,399,181,000,721,823,699,358,787,229,
934,542,954,003,172,513,014,487,379,968,882,201,580,458,411,835,735,625,825,
425,821,142,357,343,467,791,984,103,725,837,397,998,351,841,005,703,804,570,
561,767,361,317,549,355,342,154,592,377,202,841,814,151,216,102,932,281,043,
837,580,570,564,345,557,273,910,653,353,690,748,062,402,209,155,368,663,346,
598,277,170,930,688,713,854,177,248,965,613,683,806,859,227,476,087,517,015,
795,568,437,996,449,821,481,134,574,843,493,701,613,274,449,647,279,290,140,
706,456,303,309,908,470,897,087,354,886,615,502,519,117,031,843,126,416,773,
449,416,623,095,385,678,454,210,857,838,988,108,304,843,848,871,399,603,285,
213,360,464,679,770,065,804,439,747,942,204,180,711,459,814,616,459,262,830,
801,428,052,244,989,798,882,293,577,125,271,920,082,160,056,764,014,853,402,
689,595,151,629,578,250,882,774,194,640,005,978,636,730,865,781,292,267,543,
864,915,801,586,723,834,979,349,682,468,047,833,763,115,863,618,524,647,685,
097,645,945,493,093,034,053,224,030,911,395,851,745,613,760,175,562,929,750,
594,258,215,037,248,724,168,333,558,475,562,798,947,710,109,924,760,725,299,
973,189,475,713,233,201,829,623,866,921,793,051,491,198,736,954,784,245,300,
156,327,758,920,796,010,948,176,102,140,841,645,287,490,593,255,393,413,631,
572,136,480,191,621,758,414,643,196,551,090,208,662,410,189,518,383,535,897,
916,706,074,811,835,173,993,788,859,405,202,197,891,126,146,710,807,740,164,
238,512,814,993,278,556,523,133,380,077,531,034,934,462,141,640,528,866,729,
072,723,756,220,050,723,297,817,072,653,687,119,903,282,341,829,537,844,375,
395,801,690,606,072,771,131,977,494,040,913,723,375,129,581,428,511,856,943,
847,355,291,323,006,594,781,394,311,933,461,275,269,197,958,969,153,974,374,
574,330,767,954,569,991,298,488,219,371,991,236,779,878,368,155,301,107,334,
946,012,448,888,723,448,448,989,668,681,821,617,164,451,738,377,122,450,244,
043,130,910,582,853,323,969,526,390,035,108,755,475,737,320,657,216,587,119,
213,873,221,476,860,680,261,655,015,975,855,120,671,039,525,854,205,653,366,
500,710,564,745,565,821,543,833,365,051,499,962,878,748,076,988,281,345,977,
533,158,580,023,027,460,363,862,878,099,401,491,450,543,579,335,005,888,951,
161,322,451,034,406,954,819,098,868,860,524,058,425,250,413,618,864,998,004,
873,178,926,415,944,083,924,057,392,239,004,528,299,957,654,411,376,737,192,
475,608,644,578,283,185,410,641,306,796,634,046,196,959,205,482,455,464,305,
650,169,789,753,414,863,927,325,172,864,375,794,927,913,913,634,533,532,372,
076,451,965,920,300,730,478,231,795,241,473,733,802,349,773,379,253,781,380,
163,711,151,091,631,731,080,936,673,978,049,455,506,519,429,697,549,405,566,
832,321,274,484,876,826,068,540,271,361,029,361,097,805,662,342,135,688,283,
164,237,506,015,056,042,095,989,501,492,769,821,741,956,286,793,710,857,419,
456,253,565,355,688,322,333,475,803,830,084,690,647,831,754,646,363,854,006,
044,708,538,006,666,409,498,183,751,716,803,203,000,433,899,924,113,307,574,
346,409,105,802,388,556,218,041,745,784,401,250,141,293,040,337,399,097,474,
467,570,518,222,682,143,439,692,354,597,824,329,121,991,632,561,456,378,110,
522,166,184,475,145,142,642,811,301,512,412,755,700,456,248,382,301,907,967,
637,181,669,019,851,236,504,731,870,009,910,000,933,903,109,708,405,726,189,
180,098,942,052,004,975,113,699,506,026,359,261,038,643,846,698,706,427,482,
784,192,945,154,500,074,989,888,965,494,813,798,991,174,096,028,339,512,565,
661,800,848,556,283,897,449,611,447,097,868,875,966,468,737,849,198,155,781,
356,155,601,403,279,961,450,651,550,517,980,392,244,566,156,470,020,998,934,
505,730,320,191,699,138,901,104,187,633,047,154,646,703,908,368,547,877,113,
037,643,337,989,772,513,498,152,632,888,779,616,828,690,119,648,891,085,724,
970,053,042,197,594,113,681,717,356,624,803,147,979,554,928,251,680,231,255,
889,061,154,740,428,436,500,974,000,052,051,874,013,814,603,932,434,448,724,
999,724,704,183,886,245,051,232,851,595,884,079,387,246,033,860,429,047,572,
366,602,786,592,567,875,883,579,946,604,262,282,948,103,400,378,747,361,607,
857,871,305,700,190,196,272,240,693,831,244,509,794,833,613,008,414,947,644,
386,188,299,536,738,878,688,715,217,686,301,375,644,652,710,575,234,390,365,
769,926,648,134,814,442,079,559,499,133,919,979,110,644,680,904,897,969,064,
783,650,032,975,256,956,058,422,676,556,550,245,678,289,279,436,166,873,720,
885,441,670,442,260,068,799,201,512,580,132,165,878,089,064,978,690,353,222,
009,230,364,607,516,670,084,773,973,672,452,011,273,837,354,290,772,266,664,
547,231,497,781,770,842,093,980,201,999,504,976,512,356,883,579,108,938,069,
923,217,632,726,875,161,517,273,421,014,440,130,038,722,237,102,620,765,578,
090,833,431,952,168,274,551,948,812,023,918,988,887,829,626,477,804,812,551,
193,265,949,730,849,414,901,364,762,327,430,889,985,644,932,518,454,671,802,
374,300,017,255,335,506,830,088,937,962,606,954,700,033,187,164,576,954,995,
993,072,592,795,029,042,389,815,451,380,174,712,542,241,843,066,671,800,538,
270,973,845,797,129,214,958,395,971,789,005,197,012,091,793,588,078,390,848,
006,500,488,379,155,411,507,302,656,903,297,709,363,244,147,497,703,557,729,
673,323,929,749,955,333,602,544,981,329,132,502,193,016,385,989,763,050,190,
498,114,322,616,732,043,530,095,497,958,892,286,157,961,827,514,626,797,783,
794,741,780,754,428,731,081,108,222,543,927,580,112,831,569,626,376,947,732,
958,469,402,677,981,904,765,529,656,858,407,330,597,865,730,371,515,758,206,
031,591,768,814,888,602,411,711,477,111,141,422,377,519,674,936,768,921,225,
656,559,818,854,779,016,095,180,000,709,634,191,203,913,379,180,037,457,937,
462,311,937,659,252,113,880,064,188,328,617,737,735,661,026,493,464,655,964,
053,568,721,135,844,067,974,505,093,300,602,085,194,551,013,528,756,143,938,
624,238,013,787,598,007,586,331,206,180,479,976,735,086,883,141,144,466,685,
042,000,328,342,689,774,978,941,257,453,858,585,387,045,307,974,594,930,546,
992,690,194,027,398,223,916,991,975,666,045,654,643,375,744,305,564,391,454,
489,075,621,191,672,238,072,911,583,542,387,525,705,295,401,428,410,425,418,
069,479,683,899,700,121,119,652,452,900,472,217,650,237,301,830,420,305,784,
919,011,454,258,468,945,340,342,563,977,550,891,304,377,206,894,879,568,267,
410,365,400,800,295,251,300,707,320,514,175,930,444,178,216,288,341,286,745,
960,927,207,932,872,866,854,260,627,048,888,820,641,887,079,688,964,736,075,
037,838,354,582,165,090,215,438,513,007,989,475,746,828,536,632,664,276,623,
755,530,961,072,905,744,655,329,312,728,124,022,310,743,235,615,867,332,294,
045,542,226,397,599,025,286,694,252,033,785,122,286,571,045,696,930,381,753,
276,817,212,881,088,828,149,463,829,882,887,463,672,537,648,030,963,912,655,
887,302,002,086,860,952,640,770,257,311,741,573,148,456,177,852,067,853,605,
084,306,763,931,941,625,077,957,087,239,759,790,532,233,953,325,553,416,933,
523,802,535,373,628,211,597,690,327,497,805,621,391,518,744,307,668,666,629,
680,292,296,178,362,468,010,452,314,144,780,413,372,628,248,221,033,001,698,
292,525,693,464,844,674,363,405,748,267,809,748,656,145,010,603,352,999,163,
543,681,971,038,028,887,499,878,022,323,614,407,387,236,508,353,099,353,304,
444,805,598,312,410,975,623,081,129,509,071,430,907,453,894,833,924,508,910,
462,960,857,003,484,149,609,252,006,604,851,743,895,915,291,271,704,915,447,
166,388,196,504,989,750,132,596,984,566,516,889,329,582,370,516,170,808,070,
581,253,601,424,949,943,532,107,955,108,421,342,815,890,737,380,553,627,988,
064,358,367,459,070,415,033,679,137,301,049,347,319,454,785,608,424,474,502,
979,302,003,872,873,113,584,956,019,966,258,555,938,514,196,868,780,141,802,
012,014,585,527,133,261,324,820,704,682,853,015,948,427,362,524,395,259,313,
705,969,408,832,337,352,664,730,883,427,339,407,132,434,293,393,884,636,573,
011,314,070,999,020,047,169,716,215,479,918,933,621,164,574,459,582,161,530,
902,000,072,070,889,095,319,927,546,970,916,122,339,439,674,939,749,534,600,
333,983,638,001,170,310,095,700,532,680,743,334,522,191,147,105,983,579,994,
129,791,600,529,588,283,209,673,048,528,807,640,399,636,034,331,712,287,015,
733,399,427,314,304,724,876,280,336,266,658,598,295,347,682,729,376,277,169,
920,156,581,236,361,220,318,254,586,486,472,886,750,955,718,184,005,144,796,
544,579,996,545,959,143,413,061,273,316,983,996,674,822,036,328,262,862,891,
202,366,097,118,768,986,301,705,763,347,252,744,175,624,046,528,482,830,528,
022,481,807,238,648,593,562,272,250,310,114,105,109,727,577,050,882,243,399,
870,331,608,162,540,052,133,228,764,101,265,962,976,237,439,961,107,474,891,
934,843,595,087,553,587,513,757,147,486,539,086,379,597,209,516,028,214,880,
126,440,225,855,706,656,466,111,674,442,165,867,872,537,147,007,972,594,665,
087,335,535,690,238,527,325,035,285,387,511,443,427,073,118,189,322,533,831,
044,124,957,740,555,488,806,756,733,033,133,067,256,631,412,138,316,178,751,
835,267,125,631,100,414,900,675,935,786,191,877,545,803,471,153,694,897,468,
380,265,213,218,994,672,344,838,535,158,865,952,637,691,600,292,380,809,723,
277,737,642,745,948,613,296,367,834,293,851,077,913,943,435,958,460,925,971,
508,265,091,766,591,546,199,133,601,763,998,282,534,060,130,898,067,977,060,
940,200,428,979,220,741,369,049,563,140,213,324,119,559,698,790,643,280,224,
922,855,686,371,900,420,607,583,878,395,735,984,237,035,124,115,265,167,683,
820,151,508,192,352,673,183,199,338,116,766,301,805,474,742,642,316,804,537,
445,410,774,040,979,346,395,332,000,295,158,281,621,143,504,735,491,668,291,
081,070,235,710,468,519,370,474,991,463,986,229,153,284,959,915,518,607,822,
485,566,964,123,893,589,216,668,352,113,627,332,493,243,979,937,480,349,022,
815,770,922,927,663,695,823,679,579,228,356,803,621,218,629,568,661,981,231,
299,083,663,765,133,904,359,137,946,113,482,047,404,608,304,073,757,689,238,
197,737,598,666,998,088,738,948,179,340,682,897,584,767,675,187,702,264,007,
733,614,596,785,506,399,189,482,600,568,961,465,379,433,690,642,158,269,421,
943,463,951,994,002,667,541,024,945,136,027,127,250,548,803,597,566,411,019,
230,657,588,534,571,114,024,098,144,439,560,107,388,024,994,411,961,068,712,
446,609,625,931,418,811,948,105,663,252,863,876,107,555,292,098,997,885,859,
653,639,246,279,499,562,495,600,473,418,990,732,125,594,596,473,479,825,802,
780,746,296,024,798,101,390,561,937,094,088,446,387,553,863,534,135,111,699,
999,006,551,994,696,327,055,109,249,194,052,969,309,183,626,957,649,475,834,
761,205,229,286,852,330,418,076,902,344,671,675,474,342,139,991,031,890,758,
148,396,520,653,982,922,804,179,012,242,297,924,655,698,816,208,564,465,800,
113,939,287,734,078,000,014,600,508,261,891,282,324,278,009,932,614,624,037,
101,151,630,236,279,835,045,636,168,549,301,360,292,064,535,878,533,939,001,
133,550,939,502,888,336,108,224,948,310,412,455,566,739,266,808,039,978,554,
638,087,529,487,407,634,042,599,321,346,073,908,284,621,932,931,793,666,046,
020,663,197,449,829,526,902,894,021,344,246,635,458,099,822,107,249,926,805,
500,919,330,713,151,239,887,072,804,134,656,516,924,588,961,171,629,332,956,
539,923,001,051,261,447,526,785,487,050,483,585,741,677,904,371,919,912,435,
672,348,026,219,216,561,294,346,121,655,240,933,831,649,163,110,707,442,988,
671,617,446,228,023,962,381,590,434,187,333,121,952,736,105,707,915,232,820,
185,088,686,159,735,253,831,289,839,812,064,927,851,816,227,025,809,223,650,
834,602,174,042,591,266,305,825,820,876,998,266,723,612,154,982,228,555,024,
371,287,602,931,884,831,107,819,110,317,890,208,833,331,735,990,954,959,278,
419,593,119,327,313,267,961,952,753,951,097,014,957,837,334,846,761,697,169,
761,681,791,354,499,281,287,698,625,581,656,400,227,712,205,302,042,544,875,
782,729,651,482,568,762,559,645,879,194,632,223,746,733,408,550,451,820,144,
091,327,222,082,494,577,204,492,056,335,842,961,070,107,758,319,782,952,988,
779,958,497,834,224,016,669,665,127,305,853,472,574,493,642,092,013,595,725,
101,224,785,750,270,301,665,618,487,446,529,185,664,605,576,343,218,125,191,
093,057,358,206,647,224,501,526,234,464,278,589,195,463,536,540,750,143,639,
344,855,790,009,917,843,766,999,270,857,870,302,455,893,563,581,283,310,139,
813,981,475,035,177,298,446,850,749,988,884,798,910,513,671,214,221,815,039,
654,247,903,691,282,403,638,667,457,416,213,711,965,005,915,200,025,690,799,
339,758,530,228,046,805,910,047,397,138,404,512,091,935,224,048,455,518,816,
010,833,850,822,601,255,071,945,396,866,255,688,152,049,402,089,433,923,500,
202,096,888,680,672,606,703,468,770,547,417,111,801,635,611,478,662,320,116,
403,195,131,380,690,260,319,570,855,409,906,325,386,301,263,240,652,821,293,
934,327,141,671,610,617,205,444,185,306,770,524,506,665,213,960,003,533,974,
131,795,090,058,678,256,037,401,915,498,381,549,488,314,336,735,585,333,538,
175,707,116,753,414,330,001,290,066,651,171,418,167,419,731,959,292,808,531,
945,453,770,125,309,336,937,558,306,846,766,736,357,555,814,678,507,097,992,
185,341,177,005,725,102,389,380,094,203,308,177,261,823,572,924,214,439,467,
802,805,392,987,805,712,636,144,387,573,681,397,730,664,183,803,525,159,765,
760,163,842,681,941,259,078,372,960,839,610,745,578,185,519,490,486,313,859,
835,480,433,243,450,789,850,432,614,575,468,897,682,506,030,357,460,990,813,
446,822,425,064,286,424,482,045,900,211,082,471,532,317,056,428,024,339,347,
127,950,377,551,356,547,164,190,705,284,576,472,976,158,183,568,729,989,983,
488,061,797,789,169,989,926,328,649,597,320,736,819,315,488,381,074,065,238,
088,728,229,935,719,823,556,822,311,100,044,108,307,429,072,740,312,402,330,
493,343,208,661,298,645,637,558,047,632,180,883,973,016,619,456,825,605,805,
999,888,469,134,508,913,679,879,503,145,773,920,966,583,209,977,788,383,860,
062,726,990,126,928,558,145,694,625,634,257,747,487,843,466,184,405,393,095,
940,928,520,164,437,094,976,247,762,325,463,995,565,362,585,423,542,731,770,
739,118,537,273,305,933,826,479,100,548,875,361,966,037,035,518,986,958,542,
695,634,650,090,516,260,393,176,595,527,304,687,928,112,969,146,653,567,916,
602,185,810,159,222,498,684,262,465,877,362,214,524,474,645,273,593,644,031,
747,236,354,122,980,604,148,781,380,878,944,532,956,910,823,980,093,346,781,
935,101,940,710,693,301,280,434,468,124,285,096,220,338,143,586,515,355,656,
002,680,159,367,653,092,085,902,634,060,006,628,121,238,252,268,340,379,040,
907,612,018,041,639,243,878,066,754,838,627,726,355,403,538,794,858,755,460,
802,912,903,975,986,394,184,645,344,997,098,243,238,121,699,155,652,481,759,
278,336,377,468,735,824,014,596,902,738,491,176,570,303,021,304,107,682,783,
322,131,127,024,159,233,552,339,547,315,258,361,933,325,597,145,789,922,653,
702,336,203,399,489,336,529,251,095,638,363,209,402,582,075,922,693,146,169,
476,682,236,302,837,504,485,247,640,366,767,630,034,716,659,125,168,647,769,
539,668,187,515,721,158,793,807,319,449,039,309,553,495,939,464,342,829,135,
118,065,879,322,216,750,916,866,023,754,490,725,650,587,393,383,747,141,089,
643,587,543,357,700,745,126,369,858,488,400,238,705,870,530,867,942,490,412,
403,387,490,118,115,925,690,469,841,576,622,856,789,423,734,447,763,316,838,
015,778,139,488,725,042,998,606,739,592,386,696,918,538,788,097,160,835,842,
764,115,321,420,118,111,869,511,551,332,485,065,358,491,205,501,793,286,452,
670,451,121,256,133,055,405,188,710,406,425,347,681,116,445,958,558,707,701,
757,951,763,819,855,449,473,738,235,814,871,290,851,195,581,868,671,481,821,
269,578,779,428,776,771,902,459,700,703,752,624,069,933,556,820,577,427,852,
541,127,507,060,104,818,184,186,312,207,223,369,226,999,989,766,764,980,284,
314,954,898,516,954,730,553,103,417,139,222,060,582,347,322,715,553,132,775,
968,931,595,379,419,227,081,447,930,811,770,025,263,511,693,941,977,688,313,
699,873,195,383,466,619,405,318,372,102,488,138,306,228,142,927,333,537,204,
416,414,591,694,019,044,547,400,745,432,311,253,672,842,981,075,174,910,958,
400,240,502,432,387,335,536,551,862,299,137,562,891,596,671,716,321,529,151,
469,317,276,507,454,574,613,775,986,782,539,442,996,051,674,949,375,433,357,
198,976,050,185,826,198,059,675,223,141,725,553,999,994,285,374,130,561,423,
613,964,370,145,243,026,620,290,170,667,859,554,612,112,010,608,956,447,862,
764,345,753,129,268,245,867,556,105,108,617,196,732,198,530,130,950,515,410,
911,029,710,742,131,072,958,754,785,669,096,342,966,012,178,275,549,885,238,
254,676,167,500,296,871,582,507,928,168,951,804,397,228,078,388,961,967,271,
503,542,666,685,270,428,226,522,380,789,618,446,743,561,577,477,921,478,481,
436,352,420,929,490,989,397,599,629,078,979,485,268,711,085,439,795,227,265,
196,543,190,220,699,742,049,172,141,038,805,482,057,997,753,897,254,136,730,
032,202,851,393,272,187,385,775,026,974,262,640,794,579,728,018,967,317,354,
053,895,312,937,708,329,410,900,501,610,073,015,052,526,210,556,394,229,062,
841,296,156,506,084,129,183,661,427,693,276,745,770,639,097,599,715,950,420,
608,400,393,424,554,949,597,261,043,249,333,953,992,214,824,961,050,581,056,
591,729,271,833,355,805,765,044,212,592,730,223,847,678,528,791,663,993,527,
506,502,324,893,443,526,121,101,944,201,645,660,805,652,418,810,061,629,626,
396,911,481,671,757,158,905,920,552,091,938,459,813,694,740,521,518,288,301,
591,082,511,078,301,162,354,660,396,178,433,701,767,542,830,351,710,784,153,
330,174,378,111,111,476,310,124,077,358,355,162,229,936,630,489,635,937,911,
261,986,443,319,720,951,588,310,450,038,814,740,243,026,598,048,118,668,895,
864,059,273,346,764,314,692,126,345,014,539,358,848,954,821,862,828,748,597,
052,156,533,671,817,721,081,807,474,068,599,385,774,537,303,110,438,927,315,
406,529,856,375,540,398,285,091,837,707,200,190,964,314,556,761,521,954,258,
000,313,981,565,328,464,479,545,107,910,532,450,162,679,662,509,337,238,856,
559,765,331,580,678,861,393,497,670,820,270,142,493,759,161,908,473,557,289,
334,198,714,622,004,933,987,772,723,100,645,508,181,975,724,881,728,873,025,
353,653,054,368,432,087,070,665,793,225,765,759,694,570,397,834,318,010,986,
903,442,112,177,240,699,539,442,153,573,285,403,844,136,209,849,965,762,681,
298,143,220,217,819,476,974,444,540,564,830,208,227,379,330,340,445,201,026,
628,468,812,790,518,528,574,058,912,632,946,442,108,191,789,961,134,484,445,
484,733,537,568,010,561,289,464,399,684,868,504,861,422,703,937,547,115,858,
104,962,770,201,737,364,689,996,470,478,426,331,617,063,043,847,559,351,672,
405,710,201,701,714,270,162,534,839,168,502,306,239,892,548,226,759,376,243,
510,139,087,982,466,341,480,090,158,004,997,239,364,241,846,142,382,852,061,
324,244,351,006,026,321,161,435,028,369,804,154,136,182,410,540,913,037,835,
410,844,185,159,929,664,641,749,926,215,014,945,065,925,086,998,219,863,190,
451,913,341,797,085,921,598,197,836,916,986,212,331,727,774,378,798,192,506,
475,575,755,072,453,759,756,381,593,753,100,697,509,121,825,077,398,289,092,
677,689,788,964,293,403,903,394,273,533,787,999,141,398,588,057,420,791,334,
034,336,383,118,300,471,912,620,123,907,078,971,612,691,631,157,498,699,235,
271,260,721,137,477,179,839,586,332,645,921,081,608,607,509,595,424,081,715,
833,806,461,032,069,283,800,605,427,584,610,745,316,293,860,227,589,556,782,
097,442,857,939,054,214,477,299,809,702,754,634,343,191,842,258,995,659,641,
378,820,515,853,494,748,564,574,346,998,200,287,310,711,371,287,431,767,341,
842,137,580,941,726,550,356,088,008,515,664,321,554,894,811,598,047,110,881,
135,826,777,414,919,397,216,985,429,032,925,880,067,012,466,379,379,257,688,
033,207,118,032,892,409,318,550,217,330,822,905,707,414,002,721,593,756,785,
912,800,848,333,411,009,007,912,829,568,277,927,201,413,124,858,713,999,009,
098,835,257,266,590,031,089,025,684,312,581,596,062,309,702,405,541,276,239,
206,966,304,222,787,951,539,474,012,667,124,057,245,580,722,852,081,817,011,
980,449,435,290,998,352,444,782,941,580,952,820,946,370,095,458,549,046,232,
997,124,197,548,582,886,016,197,094,152,938,484,033,861,166,515,148,049,848,
689,684,169,759,077,809,366,475,297,417,526,868,426,019,946,006,401,549,064,
760,936,472,942,244,045,228,595,004,787,296,690,534,374,721,298,660,316,436,
873,873,208,801,243,426,195,731,862,796,703,819,671,254,722,187,025,490,231,
890,950,555,506,016,028,295,660,927,494,363,163,726,805,002,073,931,392,226,
388,359,110,607,861,543,147,723,248,488,041,905,571,356,308,540,707,987,135,
404,661,781,141,357,014,501,040,662,199,752,999,340,751,279,416,834,945,441,
511,475,004,804,021,056,501,821,664,822,193,475,864,786,573,142,946,353,678,
022,279,279,273,978,440,811,372,405,435,843,902,991,375,383,925,627,684,278,
529,594,577,512,723,934,316,980,060,837,521,777,163,582,742,260,954,370,410,
595,465,456,179,725,979,423,750,325,015,776,315,790,510,646,585,149,186,597,
453,960,309,664,876,934,903,448,295,074,677,889,680,120,318,792,904,739,432,
373,968,060,681,698,792,148,562,741,940,010,979,764,534,551,062,896,554,177,
814,129,143,342,720,490,190,296,657,430,343,794,849,031,885,937,466,647,048,
692,983,889,147,004,398,469,195,040,201,366,127,731,968,023,010,717,315,272,
574,193,325,889,422,185,716,641,924,263,977,958,414,814,371,983,749,306,232,
873,162,235,371,500,199,114,674,679,772,275,759,801,343,345,926,088,879,019,
311,659,606,479,396,975,643,154,892,702,268,926,172,026,428,299,692,245,424,
322,755,631,231,577,347,609,085,354,397,441,145,169,272,561,661,330,805,841,
278,301,470,662,919,124,304,730,706,824,182,999,555,938,753,736,118,121,311,
982,224,239,967,108,467,482,549,711,361,587,518,478,979,692,176,878,251,014,
047,131,595,402,659,809,832,282,795,971,013,701,571,684,287,649,229,255,210,
070,301,953,698,164,897,488,527,140,851,152,759,939,266,624,400,438,116,061,
500,617,289,759,597,161,864,632,920,105,700,877,750,359,502,069,748,543,058,
892,111,854,710,210,659,190,169,102,896,325,205,767,863,034,184,413,302,398,
496,165,435,832,133,371,221,137,214,629,269,781,818,801,815,955,172,653,233,
524,265,420,102,944,679,839,706,155,229,394,712,499,279,172,148,825,494,130,
433,223,340,157,697,441,039,404,392,386,205,881,794,158,923,179,684,940,430,
430,837,047,400,796,590,360,305,217,591,047,594,002,249,189,119,698,381,060,
838,585,433,858,588,957,669,487,588,974,003,545,907,250,489,760,210,924,171,
003,548,585,543,793,913,038,372,731,098,506,294,271,399,911,617,039,921,704,
624,169,854,237,676,721,323,281,293,438,028,437,132,832,749,835,666,492,766,
279,524,152,966,707,836,505,541,491,313,531,340,387,552,057,975,359,682,631,
499,037,877,160,749,423,100,317,621,399,216,176,109,159,869,008,852,779,190,
819,654,876,889,595,387,931,807,866,975,961,536,924,225,940,846,471,273,541,
845,757,990,035,382,205,888,511,902,223,801,006,644,102,279,300,071,638,540,
325,355,899,992,130,884,652,262,513,032,266,306,250,632,835,213,211,108,631,
395,883,362,204,631,697,285,872,171,367,746,738,426,002,099,275,115,306,706,
689,937,148,580,650,168,357,282,303,779,359,193,498,413,961,768,243,883,147,
558,783,656,649,477,327,738,260,828,848,926,897,593,025,735,569,173,689,348,
779,137,850,745,864,586,369,792,847,154,090,574,618,226,123,656,339,120,275,
052,045,023,073,191,626,834,046,459,495,138,846,231,280,018,419,275,607,921,
996,758,735,721,477,053,118,449,969,573,936,833,381,853,535,944,498,368,939,
919,567,422,004,449,558,937,749,011,016,469,865,000,039,351,303,819,372,995,
479,124,971,179,069,205,765,242,360,599,532,658,041,640,658,482,527,420,414,
199,139,273,655,900,505,421,904,242,658,202,034,176,778,164,655,163,878,691,
731,429,687,469,750,812,752,478,008,000,576,363,616,456,572,040,314,505,316,
883,776,060,933,803,724,366,189,871,209,141,901,846,234,992,697,280,358,359,
646,448,831,199,345,098,490,215,281,678,673,671,697,064,742,931,854,414,473,
554,287,036,042,687,772,914,111,475,899,427,670,705,424,443,947,476,462,344,
105,227,418,234,120,404,267,383,241,467,947,597,845,764,422,733,786,394,818,
887,015,847,845,134,546,351,253,860,756,897,052,069,513,719,090,228,901,669,
743,905,865,860,042,895,965,841,881,228,356,237,161,663,677,113,495,435,534,
645,253,349,214,062,582,237,063,170,992,370,086,543,760,502,902,569,206,204,
008,449,065,482,570,854,525,856,577,939,187,504,547,372,591,071,115,327,970,
362,354,367,838,000,509,596,761,501,034,888,688,686,035,191,292,245,247,855,
185,802,828,046,079,441,282,714,704,716,836,351,735,346,667,209,502,908,466,
201,750,215,146,199,377,723,135,784,152,892,082,261,266,366,175,316,165,148,
706,433,638,639,870,204,255,168,816,767,933,048,483,653,709,906,146,727,713,
386,778,611,071,051,410,068,179,968,360,428,249,276,114,047,178,162,704,161,
004,644,698,835,929,437,839,472,187,942,070,235,235,835,090,034,862,426,555,
508,722,238,039,772,452,497,471,564,109,780,671,687,563,628,320,125,869,104,
258,572,196,996,258,943,539,299,197,496,624,999,561,102,614,409,317,861,251,
000,646,633,951,415,318,697,163,578,284,517,112,982,429,001,360,901,126,429,
828,485,006,766,287,219,980,351,073,621,452,743,275,012,653,045,465,374,573,
517,511,695,214,731,994,999,289,926,765,571,144,520,819,308,830,806,999,757,
502,260,306,515,368,516,329,064,622,011,213,352,493,940,788,130,795,514,964,
480,425,743,901,357,360,805,560,507,526,157,186,013,908,541,302,890,922,591,
159,729,310,996,637,757,545,245,795,756,373,087,955,957,642,896,636,176,360,
664,119,713,923,710,962,959,601,247,779,199,013,049,952,486,504,439,752,148,
987,143,261,859,144,670,669,584,715,562,594,117,794,983,292,207,110,237,300,
090,569,453,955,748,376,551,523,009,394,298,375,456,842,019,363,069,949,317,
690,256,185,455,609,489,131,606,372,714,552,785,466,158,754,862,090,477,092,
327,955,667,629,987,669,281,397,309,981,308,715,792,881,320,207,726,594,201,
600,910,286,459,239,098,876,337,133,835,899,016,521,972,437,901,338,821,162,
788,646,212,394,926,554,674,720,010,040,757,638,091,703,867,403,253,997,528,
016,364,619,156,739,686,177,860,549,459,797,110,926,056,963,995,846,249,594,
889,158,856,875,852,503,292,436,046,218,154,796,300,919,739,975,308,601,859,
587,216,711,042,974,594,671,865,680,223,166,536,615,725,542,191,116,335,457,
967,986,799,856,971,623,343,268,159,474,495,767,580,052,947,280,955,959,692,
611,305,786,014,480,538,566,612,075,309,170,445,689,731,310,741,453,688,004,
432,680,564,839,205,729,678,701,455,913,496,178,789,526,330,445,004,914,088,
644,820,993,945,707,204,794,747,489,302,133,565,510,575,825,379,460,039,438,
380,035,092,818,910,950,982,164,423,259,691,459,824,074,487,706,326,153,591,
650,323,612,126,439,996,028,354,315,351,574,637,350,950,014,816,560,970,261,
524,501,565,242,668,521,701,638,155,652,983,107,207,398,400,788,591,669,308,
708,632,013,624,161,381,269,597,993,852,960,133,679,337,181,988,998,550,295,
909,363,331,105,117,878,591,262,446,994,260,055,726,086,048,267,978,644,936,
602,330,701,372,416,064,823,907,629,308,230,974,415,859,843,078,041,359,997,
771,668,801,564,837,445,544,483,230,355,685,258,379,326,133,256,315,892,101,
483,777,250,589,377,438,503,442,909,895,678,286,180,580,244,590,812,183,562,
538,993,864,094,563,039,548,210,031,363,619,480,056,222,131,556,312,816,889,
605,046,624,614,229,019,191,997,498,428,484,112,865,576,538,857,392,176,713,
717,647,488,004,237,811,773,101,610,090,324,697,287,236,104,690,801,490,198,
986,600,070,051,903,567,810,616,972,214,167,933,686,013,064,556,180,089,344,
326,045,560,925,663,360,072,248,953,455,571,706,181,681,477,731,182,366,825,
327,338,021,989,048,151,598,135,759,846,027,738,462,042,251,709,546,412,500,
789,499,775,800,044,279,588,690,566,924,532,141,129,308,987,768,390,812,304,
814,020,051,274,311,438,214,781,039,340,057,152,840,516,804,724,010,115,358,
330,800,283,178,810,433,937,491,058,246,814,859,614,341,650,381,546,316,009,
179,265,309,185,026,416,964,599,179,437,298,408,679,575,754,476,230,406,683,
658,652,578,833,563,491,904,018,914,944,514,120,099,048,663,158,130,357,763,
327,298,391,821,404,161,368,504,384,078,243,446,516,573,070,252,149,897,479,
945,130,435,195,716,556,886,626,495,549,626,427,005,300,284,793,840,606,566,
803,088,115,120,424,248,557,297,299,050,268,379,501,804,361,370,904,302,022,
845,250,297,099,225,579,322,291,724,938,686,821,551,572,347,079,693,754,405,
581,661,992,439,469,356,526,614,765,679,381,683,119,304,932,838,607,869,537,
912,731,870,704,563,819,412,635,809,796,798,115,133,685,394,365,495,931,074,
446,922,316,438,710,614,907,674,687,227,039,535,491,441,442,345,195,407,549,
624,151,367,259,778,491,497,956,112,458,868,155,068,700,017,198,356,870,693,
791,788,753,716,245,108,079,488,553,175,942,969,577,167,525,546,424,491,285,
319,604,292,925,197,336,835,353,916,291,193,894,107,376,778,535,762,297,564,
942,163,793,495,683,345,769,691,465,717,101,892,656,639,195,323,444,794,845,
839,456,642,883,659,176,149,953,496,612,517,644,296,498,079,482,846,414,292,
635,979,851,367,990,982,459,845,373,353,603,665,101,027,167,844,821,925,139,
195,828,250,418,369,637,152,870,672,489,527,568,505,736,700,001,727,894,249,
040,295,582,100,406,482,543,861,079,242,049,506,481,306,651,719,844,434,045,
856,311,716,931,583,797,022,492,670,928,689,495,373,269,522,124,363,385,111,
822,560,037,224,226,947,369,628,352,502,013,951,033,241,065,006,595,562,113,
822,303,423,351,254,708,867,770,075,723,273,826,579,576,312,883,012,097,837,
684,716,072,539,382,343,115,724,361,449,784,122,841,781,259,346,920,681,716,
351,977,833,071,414,081,113,724,789,295,413,751,558,296,516,315,423,649,455,
463,876,885,953,934,942,206,450,954,137,860,284,964,920,502,043,960,269,150,
680,374,410,356,384,598,939,000,005,800,075,774,283,682,585,852,216,534,285,
739,101,481,007,151,724,009,574,805,355,101,966,636,623,097,936,343,884,258,
663,220,529,729,826,787,607,300,416,969,324,580,010,052,495,306,845,735,089,
181,857,700,658,021,316,518,018,150,833,486,482,420,561,767,171,794,706,683,
182,875,299,025,619,691,739,704,204,117,102,633,245,995,511,819,217,999,423,
168,329,051,527,153,332,073,986,218,003,018,947,812,575,901,226,633,144,961,
225,310,242,137,877,674,470,688,496,027,475,118,700,425,000,685,271,257,222,
406,887,237,557,479,613,205,498,654,797,935,408,560,800,129,178,777,320,107,
447,074,381,155,781,501,171,227,371,642,163,069,527,156,313,665,972,565,222,
016,329,237,567,764,998,198,472,856,031,153,212,869,501,119,662,011,460,320,
411,136,178,602,445,826,640,364,317,350,459,985,639,402,230,366,077,597,296,
790,516,301,424,087,108,920,831,716,441,980,428,664,262,192,240,590,327,649,
016,831,029,147,173,707,972,597,701,647,506,068,391,420,912,763,561,050,724,
883,969,961,366,420,806,124,022,700,517,116,618,170,299,905,673,650,485,935,
943,759,624,551,063,326,502,863,173,223,923,176,905,602,399,616,827,703,248,
252,067,140,372,718,188,361,824,921,175,703,419,339,513,862,594,508,373,090,
467,839,425,464,229,699,486,242,853,651,273,280,438,492,715,454,364,523,472,
682,477,817,980,675,961,193,262,669,165,802,259,050,927,119,035,917,447,646,
076,419,609,593,915,830,793,272,611,708,455,598,535,810,987,319,419,726,135,
898,387,105,616,483,800,655,331,214,968,630,577,602,456,719,735,087,616,564,
206,127,201,643,217,041,883,437,273,539,250,707,240,223,828,756,923,308,036,
444,914,282,127,428,904,624,122,119,539,691,147,137,755,524,267,628,904,503,
413,307,192,061,170,549,891,858,562,865,169,897,283,696,192,539,790,692,280,
478,530,718,981,106,262,768,159,061,388,487,084,934,940,727,932,110,564,195,
534,325,895,209,989,747,547,741,117,493,664,710,593,717,981,930,872,107,406,
115,524,185,315,896,203,226,399,084,122,311,682,658,785,457,185,119,147,818,
124,161,484,541,075,367,248,772,585,243,481,830,713,089,303,186,662,557,704,
928,447,274,379,362,241,354,735,315,702,485,328,508,956,597,829,675,466,046,
250,549,408,401,442,289,444,491,747,205,459,137,169,981,228,425,880,803,641,
419,820,745,085,154,533,777,925,268,294,666,784,805,025,200,641,412,793,365,
281,026,981,327,933,425,288,472,223,077,036,585,122,712,256,990,414,147,221,
833,253,777,852,143,581,572,635,913,034,733,464,168,461,853,473,059,951,092,
874,457,420,980,256,866,456,285,410,749,574,915,794,321,540,597,051,293,701,
049,348,434,546,672,202,589,420,529,326,198,146,169,301,473,850,969,713,598,
632,982,035,734,785,769,705,535,060,695,464,656,793,572,930,592,143,566,252,
256,517,118,917,742,826,330,387,561,119,430,400,036,624,759,205,188,658,898,
330,464,654,581,251,185,470,316,039,436,246,797,617,587,986,784,437,204,434,
867,386,913,106,190,840,095,873,484,052,233,273,064,752,330,761,115,486,878,
891,541,345,490,625,728,991,362,964,773,833,427,193,155,052,216,060,985,660,
234,060,131,640,264,773,660,168,506,927,610,408,533,857,787,479,083,482,315,
999,654,664,659,211,136,334,846,675,376,822,754,759,215,346,126,956,419,955,
475,308,456,511,342,302,793,814,143,586,731,483,425,213,062,501,446,788,434,
650,880,425,104,326,526,750,291,317,556,020,356,708,178,794,928,643,658,692,
444,329,185,256,370,420,020,577,559,067,413,565,179,317,575,803,495,354,931,
014,289,440,427,051,142,412,790,903,934,078,606,175,297,832,219,241,950,044,
105,244,873,708,213,424,094,645,120,023,796,316,198,258,162,844,943,732,716,
220,518,848,163,189,497,925,467,452,926,518,489,045,386,175,042,203,535,693,
688,648,557,072,273,237,032,712,250,985,349,480,343,317,472,753,577,858,228,
881,429,314,296,707,103,121,849,373,793,536,698,379,336,300,735,589,373,246,
696,256,199,614,590,199,548,495,926,505,948,626,213,872,645,102,571,571,825,
414,672,118,678,705,142,007,872,233,888,313,575,672,464,919,730,120,997,154,
323,499,944,504,554,626,120,811,939,470,771,677,420,968,838,337,467,896,020,
746,536,650,155,999,671,416,332,727,826,335,371,034,161,131,859,186,784,447,
696,224,082,653,785,534,430,058,171,273,653,476,591,202,289,158,137,356,246,
380,458,693,613,255,216,439,716,320,729,487,284,481,482,640,625,050,102,038,
488,644,695,434,209,104,890,215,071,360,205,153,068,482,087,967,103,980,217,
823,780,274,003,031,146,496,663,339,312,246,287,608,904,258,299,592,004,252,
345,446,862,396,472,558,638,549,705,841,086,629,980,048,202,720,959,347,529,
181,607,507,211,334,327,918,699,556,242,936,739,508,196,009,271,859,574,353,
854,432,519,425,003,053,135,000,302,447,600,881,928,967,013,308,632,414,312,
676,717,996,282,788,395,300,935,110,617,562,291,726,259,248,309,016,589,705,
126,905,137,010,412,538,693,686,655,121,710,347,932,897,018,464,151,078,494,
933,018,903,950,058,759,459,716,777,347,623,923,901,496,088,529,352,601,990,
784,724,558,614,882,686,694,762,868,996,735,027,586,128,173,377,405,330,811,
671,647,197,896,118,663,574,986,748,891,198,172,567,654,513,894,008,943,517,
492,372,082,422,152,996,186,469,155,295,812,078,843,711,059,102,242,437,008,
506,946,374,234,126,527,909,004,055,929,006,704,068,372,122,712,524,861,337,
163,256,479,402,732,727,684,911,421,990,583,788,846,417,325,346,109,390,949,
951,214,832,343,948,283,838,575,264,654,793,293,061,716,095,491,034,148,823,
844,419,135,852,616,377,728,237,815,777,446,622,289,710,560,000,455,701,258,
831,875,166,942,064,551,180,320,939,691,194,707,062,215,492,493,461,280,629,
019,915,602,839,214,658,653,904,648,135,355,334,350,866,782,553,259,265,287,
791,467,506,254,963,282,859,630,734,294,277,843,432,520,783,222,717,047,450,
715,653,743,036,400,418,350,589,818,046,039,892,476,559,868,848,827,449,467,
251,298,484,168,034,402,505,555,728,329,921,599,081,287,527,817,444,753,071,
883,071,612,923,773,760,325,732,790,023,292,830,090,094,530,918,838,989,041,
670,377,574,745,967,922,002,849,867,044,105,810,501,203,679,680,586,997,607,
128,270,406,220,363,726,214,436,595,869,669,029,228,705,365,950,087,100,177,
729,299,597,292,829,589,686,245,961,294,553,243,569,749,408,557,393,767,892,
031,415,401,910,420,992,366,747,220,118,532,143,035,885,803,970,200,055,878,
661,902,627,394,348,670,140,407,662,641,765,069,382,334,104,843,373,688,837,
474,423,730,127,086,607,318,417,724,823,933,239,212,397,193,870,921,361,015,
605,609,687,601,017,118,119,134,143,903,285,721,580,885,926,710,675,442,383,
463,381,435,031,046,285,448,799,573,216,285,061,618,851,163,316,834,352,494,
144,621,459,977,189,130,318,838,031,775,668,673,983,491,004,023,195,053,044,
038,493,746,412,946,362,353,672,104,370,295,278,699,775,599,947,946,057,345,
728,066,541,167,447,675,779,644,042,398,840,957,946,662,044,289,625,123,536,
943,355,552,082,270,379,085,033,371,374,727,923,774,862,286,140,675,868,695,
692,432,911,690,519,388,749,821,449,908,928,062,465,690,029,701,542,041,022,
642,939,628,948,266,211,184,475,059,859,119,102,693,113,237,363,640,878,941,
661,144,270,782,594,791,099,161,072,903,113,752,738,841,687,764,287,049,961,
348,421,976,490,778,739,771,125,683,673,885,653,039,516,461,542,671,740,850,
102,935,484,543,378,688,948,596,432,128,103,128,342,482,287,357,737,533,980,
199,377,689,104,970,666,234,120,293,444,240,858,677,167,975,715,348,017,447,
925,276,194,745,048,146,244,027,909,043,265,849,468,759,913,311,962,058,427,
290,570,657,376,004,132,234,669,661,426,898,036,306,885,764,623,904,083,680,
980,800,968,703,501,005,195,125,377,861,133,600,302,257,875,167,639,377,584,
563,269,583,833,996,280,793,505,748,953,041,575,856,985,558,024,685,494,171,
616,825,539,218,187,956,785,101,477,227,910,112,593,292,328,488,454,970,702,
161,460,042,262,209,959,344,610,482,438,372,017,589,387,282,312,756,353,229,
958,643,588,249,782,099,744,503,101,631,254,477,611,532,488,300,928,250,102,
247,327,534,309,821,156,393,517,794,629,692,601,053,308,845,591,834,388,251,
579,367,063,836,396,828,816,331,719,808,980,009,004,235,110,236,755,489,482,
545,729,095,723,104,521,307,468,222,988,278,884,869,753,504,804,800,271,201,
779,327,232,256,541,347,693,830,666,813,658,933,823,509,473,150,619,416,609,
580,729,370,953,667,600,790,742,251,518,699,518,363,354,678,663,152,808,544,
905,340,793,683,284,465,559,575,059,927,162,990,116,638,645,639,211,502,357,
728,145,280,223,840,472,745,686,776,251,010,306,780,744,931,738,512,502,834,
983,188,617,646,282,896,313,990,081,292,335,937,078,275,201,315,750,059,682,
787,819,740,514,357,634,016,587,808,078,074,376,083,243,147,415,746,963,952,
171,960,301,948,716,922,592,072,871,990,982,840,758,049,645,390,226,114,526,
519,776,146,153,318,568,869,341,026,361,475,295,732,949,313,467,498,307,257,
611,400,791,246,411,274,987,965,874,166,026,143,263,649,432,963,967,205,380,
612,319,115,064,205,683,665,381,554,908,691,513,980,864,661,010,210,107,910,
723,194,144,467,715,750,673,491,448,123,576,020,228,501,529,651,981,918,692,
585,331,329,183,444,737,815,650,812,597,741,152,124,317,572,639,264,949,534,
872,376,801,997,425,188,238,118,805,185,114,525,076,157,579,912,533,847,122,
890,001,802,102,252,499,602,163,537,127,946,389,257,510,532,142,824,384,718,
892,887,084,417,187,484,639,342,759,125,412,516,505,236,957,369,119,288,691,
853,680,829,517,157,280,491,249,626,943,593,950,339,911,763,642,653,225,574,
502,250,377,954,060,878,914,849,904,309,393,189,822,200,603,780,938,424,180,
231,513,537,172,617,638,571,584,198,592,359,308,387,161,562,948,328,649,553,
524,768,348,230,361,296,138,999,310,841,257,353,448,889,748,462,274,391,858,
943,161,791,647,398,841,297,712,567,983,181,498,140,548,611,377,862,738,071,
997,265,820,299,150,425,597,066,593,503,275,985,139,552,252,221,245,428,762,
629,551,540,534,776,715,347,438,773,029,664,297,936,339,752,516,462,801,351,
291,479,606,811,131,944,223,006,562,655,526,464,784,241,623,191,207,895,872,
882,790,260,827,535,192,778,437,593,166,075,155,979,059,420,401,752,733,525,
193,960,192,812,215,442,569,014,565,189,008,312,171,691,349,428,787,475,807,
236,214,394,839,835,060,113,170,546,261,981,916,382,302,758,453,279,534,208,
530,196,584,007,715,125,123,559,738,106,185,337,851,497,325,215,071,685,597,
303,742,464,350,023,961,440,693,615,561,074,823,501,014,190,243,153,627,090,
743,437,516,666,691,656,356,903,716,963,697,802,105,762,256,643,623,784,417,
087,901,265,424,260,192,772,365,310,766,739,662,271,487,420,105,690,973,264,
556,031,629,359,443,281,001,921,422,342,846,395,873,236,007,122,834,283,053,
722,179,728,877,625,334,181,001,743,012,266,326,488,735,290,639,333,510,371,
207,601,365,089,340,497,970,348,244,060,975,997,403,815,767,594,686,702,788,
014,601,448,695,201,529,356,612,917,361,652,654,839,551,911,491,464,739,560,
123,478,507,727,888,090,956,945,510,691,850,882,802,620,644,519,682,490,544,
203,841,268,414,787,142,351,819,045,394,211,660,049,407,839,441,857,876,812,
164,323,756,135,103,427,236,099,805,591,573,805,982,369,957,380,801,136,345,
359,451,181,840,607,829,268,926,978,144,053,259,054,609,010,854,279,945,491,
980,941,178,548,082,718,383,027,864,770,230,638,970,873,414,158,134,754,307,
647,435,994,093,614,227,578,486,288,125,821,613,113,511,126,962,170,287,883,
291,237,162,724,197,077,873,627,847,807,172,795,753,750,582,142,313,886,055,
644,382,250,367,635,915,044,892,665,923,210,541,362,221,824,095,645,569,689,
796,903,632,661,802,715,324,343,561,048,094,703,895,505,412,876,965,800,548,
017,284,910,647,008,196,259,896,624,133,726,172,824,485,416,903,858,962,085,
328,886,660,198,381,697,327,197,200,718,346,223,802,926,118,354,406,588,983,
433,314,532,540,505,301,266,290,511,677,287,287,828,765,907,346,320,410,844,
014,364,394,167,343,406,897,403,353,150,694,187,703,758,592,886,340,186,901,
666,718,587,953,341,596,651,085,871,628,477,134,763,540,394,401,921,175,473,
674,387,158,449,425,722,804,832,698,463,112,541,165,070,550,999,564,331,047,
385,621,410,714,171,862,036,217,794,266,411,058,464,858,727,457,279,795,389,
369,787,871,695,477,097,431,576,087,400,106,102,143,590,153,010,573,245,092,
719,795,684,408,168,757,907,043,977,193,535,471,235,323,079,664,868,614,216,
012,009,915,309,671,673,150,735,235,788,358,688,369,504,296,652,984,611,280,
739,579,013,938,743,007,798,364,879,872,263,857,634,094,174,176,144,816,498,
765,622,805,727,260,631,665,169,985,708,460,675,022,671,416,138,436,964,251,
178,232,863,455,017,645,262,032,014,734,403,810,184,850,252,999,510,739,611,
203,216,564,703,838,486,783,716,933,528,715,452,386,739,060,155,160,820,772,
604,801,062,614,861,735,862,965,893,543,719,433,405,906,139,165,717,320,604,
473,911,601,789,359,126,061,043,169,246,872,023,758,515,369,149,617,009,469,
374,548,704,944,493,880,057,817,228,218,375,945,746,324,558,212,104,823,402,
741,801,990,948,209,245,343,054,521,024,330,411,246,098,965,635,465,550,548,
516,310,294,099,583,918,971,921,825,035,586,088,594,363,853,570,798,574,943,
515,202,355,063,675,112,900,472,874,484,316,022,732,957,392,100,653,933,352,
530,519,251,679,290,552,961,314,780,721,142,922,787,134,820,988,153,754,384,
312,106,403,860,122,920,091,735,823,938,889,388,148,422,549,998,456,093,393,
323,755,075,330,839,600,087,448,714,733,964,069,944,816,208,025,815,429,796,
002,815,686,845,305,977,955,307,507,025,716,742,454,794,530,710,196,307,064,
864,851,830,822,013,087,263,499,375,289,272,761,724,616,535,140,835,743,005,
606,293,380,250,047,149,909,439,100,466,635,787,097,960,366,860,993,380,974,
762,885,678,582,507,379,095,537,656,147,259,263,962,996,484,865,134,659,202,
233,463,645,704,723,119,830,608,208,343,001,510,654,944,587,708,275,009,063,
355,094,994,140,118,978,615,709,868,065,060,743,549,104,774,795,674,906,046,
458,971,750,164,404,543,667,489,094,957,853,410,304,427,941,461,216,238,905,
311,007,678,928,230,333,196,891,776,301,747,819,196,993,663,692,187,808,889,
982,704,985,147,298,937,921,082,979,872,097,121,442,397,353,226,903,266,341,
358,411,476,421,692,126,631,525,772,443,597,625,857,817,639,231,361,291,728,
946,832,680,189,597,134,456,075,519,555,868,112,861,767,062,074,881,480,778,
732,630,199,016,143,652,002,054,798,573,280,145,341,026,377,477,857,775,650,
153,172,667,023,900,479,901,225,760,453,338,207,038,951,948,912,348,679,054,
971,579,099,906,233,152,946,344,978,539,553,479,659,053,203,111,710,888,234,
590,762,932,673,475,922,929,811,874,885,230,494,363,373,801,151,429,402,635,
529,157,736,953,211,288,528,736,215,569,433,594,597,530,612,062,680,152,472,
925,054,361,485,834,000,180,575,898,560,040,209,966,830,163,714,273,089,735,
221,099,960,568,025,758,174,143,151,730,728,758,656,464,751,552,566,920,963,
835,180,319,586,238,588,105,162,172,227,180,135,512,729,276,124,204,626,074,
063,006,443,514,515,681,404,644,277,671,576,299,765,272,804,469,804,348,663,
877,975,470,799,324,367,960,200,579,000,133,635,149,425,637,001,203,348,013,
921,332,823,755,869,470,543,743,583,740,031,729,014,991,258,901,388,268,026,
636,756,934,180,281,543,687,692,794,035,365,179,232,023,088,723,847,703,594,
486,560,783,992,241,737,876,741,662,317,601,260,921,573,607,173,703,503,533,
970,415,517,355,530,523,887,102,652,732,283,420,153,983,619,444,683,366,802,
963,149,147,554,909,906,494,902,038,473,672,328,173,828,735,766,124,072,669,
099,127,335,107,302,956,550,140,812,152,630,050,281,258,812,499,018,577,309,
837,464,517,859,175,952,910,544,357,852,384,586,287,851,188,675,332,160,810,
421,811,142,939,725,070,462,183,136,569,169,484,031,918,258,982,986,011,941,
462,666,820,611,323,904,764,325,959,548,972,018,683,144,189,110,221,688,224,
009,530,790,288,659,245,389,910,993,814,240,644,949,879,935,366,309,376,624,
458,374,777,203,956,615,264,927,503,914,347,742,084,924,351,022,177,808,267,
638,403,894,853,956,367,309,882,926,264,316,913,383,566,591,634,144,610,246,
388,668,892,793,278,560,979,258,256,391,757,098,543,814,196,451,301,988,489,
959,138,411,170,571,742,532,238,030,773,905,901,343,067,019,279,986,002,190,
027,118,576,967,821,347,329,195,904,824,327,604,822,749,748,174,931,340,867,
880,944,309,032,951,246,980,957,339,954,196,888,670,575,368,067,298,087,494,
304,376,385,335,798,198,769,108,863,908,171,773,318,607,692,411,858,106,679,
001,000,602,925,087,310,333,612,134,597,094,093,049,598,050,527,792,424,162,
319,721,944,236,134,817,652,437,214,905,540,649,067,160,743,727,939,004,778,
258,769,172,283,242,324,870,737,247,882,597,035,806,120,020,335,971,931,254,
287,415,235,636,138,933,803,419,793,195,015,703,699,928,196,966,181,263,119,
829,199,764,994,308,533,121,733,990,060,706,805,387,916,653,278,675,827,933,
482,070,628,621,980,188,479,057,384,190,876,721,559,207,230,468,326,949,070,
956,891,367,903,606,504,156,522,702,396,167,782,956,162,984,126,407,905,894,
602,116,709,854,421,561,925,616,737,444,523,222,352,944,259,093,435,709,494,
173,964,989,407,535,153,617,343,910,725,663,189,633,389,811,039,936,990,164,
270,914,696,598,503,083,324,140,638,266,746,160,304,418,886,870,961,871,735,
587,465,457,637,517,214,748,956,935,422,792,270,739,852,713,221,123,546,121,
006,302,922,633,022,964,234,480,629,641,992,553,281,455,627,116,134,657,673,
793,329,866,584,543,729,085,983,468,637,788,114,702,820,587,745,380,116,525,
038,595,136,344,578,985,463,880,721,833,143,771,680,339,858,060,529,281,442,
926,999,979,272,444,742,588,621,541,991,832,553,659,842,352,826,255,251,277,
217,040,587,303,393,979,224,265,316,144,281,460,881,311,858,074,604,671,184,
609,177,853,619,241,395,117,250,043,314,295,445,325,294,733,881,824,420,622,
059,427,083,947,755,660,862,765,358,989,109,712,405,369,969,774,368,190,524,
541,054,272,576,802,811,198,747,736,012,203,443,401,425,399,014,532,508,744,
412,997,838,523,283,388,186,599,430,542,634,571,090,792,646,053,903,869,911,
143,317,866,413,439,207,890,058,193,042,351,649,447,498,714,903,700,906,300,
443,525,813,961,667,457,307,025,028,087,068,710,551,598,792,503,720,299,473,
033,917,662,049,830,382,067,875,238,150,271,267,601,594,197,382,897,955,744,
243,472,642,062,991,574,637,132,151,248,142,515,983,455,808,112,235,839,027,
053,584,103,859,994,651,506,095,805,602,513,841,224,520,275,860,547,139,924,
856,155,276,347,356,630,138,612,039,922,494,106,209,819,462,408,595,318,615,
926,495,062,404,750,842,609,545,584,114,634,986,770,383,404,577,778,856,577,
412,026,624,466,323,704,349,303,537,614,901,935,592,684,184,462,991,541,518,
412,630,341,780,893,294,849,528,717,196,514,554,683,642,327,673,857,595,177,
342,551,445,310,327,697,860,066,534,881,854,623,130,607,257,491,138,732,218,
749,570,043,859,019,203,500,904,948,536,826,372,105,223,368,779,569,733,465,
623,210,743,466,780,502,460,817,105,917,061,879,320,280,955,028,934,733,587,
975,790,173,816,252,661,609,652,807,499,365,332,851,976,328,783,156,976,354,
993,990,468,236,454,542,835,954,884,246,073,404,556,767,670,386,417,487,360,
003,149,121,821,049,388,290,582,421,114,320,546,649,605,372,152,261,197,196,
405,521,304,738,301,323,957,029,665,084,538,523,694,147,421,588,972,317,835,
021,403,269,363,019,943,445,132,047,271,565,178,391,910,306,400,690,155,652,
265,233,039,208,113,897,600,111,213,761,332,012,551,785,416,673,325,482,351,
459,703,201,755,787,183,672,392,217,249,522,838,513,931,226,819,168,961,113,
766,701,801,135,924,694,313,313,646,649,066,076,729,114,053,813,464,001,925,
895,381,994,228,069,735,833,476,372,114,867,527,204,859,693,750,892,643,759,
120,919,706,578,264,307,763,128,311,651,317,722,548,744,430,853,526,370,165,
500,881,353,224,745,232,030,944,400,892,787,075,849,929,419,537,424,078,406,
343,848,456,174,868,188,501,687,229,468,147,969,061,399,511,176,308,835,446,
376,443,102,651,057,925,870,616,489,724,655,576,291,730,607,429,717,652,420,
069,096,525,453,902,486,569,911,965,627,928,237,192,863,567,486,923,367,936,
802,313,452,715,960,211,955,305,565,025,881,755,336,836,713,089,013,057,380,
041,767,696,739,700,063,820,321,698,769,821,484,500,381,235,698,543,109,627,
244,180,223,671,554,843,880,280,538,315,823,300,068,035,775,512,031,648,476,
495,463,073,492,201,874,059,961,329,889,993,454,104,227,700,434,953,674,022,
258,254,770,941,351,119,410,263,511,616,613,791,302,825,758,102,576,944,741,
872,841,866,605,164,140,302,119,454,781,220,787,566,829,234,133,896,196,178,
744,750,449,109,577,061,485,736,937,503,657,423,548,226,459,664,511,233,196,
804,107,767,639,664,792,274,788,013,730,532,129,668,590,043,632,165,942,467,
534,184,896,416,021,119,139,261,314,819,178,156,610,490,377,057,452,104,671,
166,648,615,946,939,336,487,392,722,909,041,227,616,341,645,913,750,633,456,
208,898,245,775,240,887,657,970,991,592,669,962,195,989,340,607,735,547,847,
583,400,299,301,953,275,834,665,495,979,873,322,820,490,948,968,415,038,709,
788,557,377,222,043,140,108,246,525,242,873,327,787,253,066,678,125,904,851,
586,098,530,847,093,602,599,164,614,908,794,347,676,958,611,572,667,375,533,
240,177,864,633,732,368,691,337,455,633,384,576,457,401,895,524,494,479,619,
946,292,190,814,171,379,833,555,788,357,296,277,138,365,893,220,266,026,808,
382,723,679,552,161,881,662,133,709,872,421,035,220,891,467,983,400,795,052,
425,539,392,757,119,186,558,822,084,595,108,625,540,009,756,563,324,101,065,
709,687,253,996,260,906,798,666,429,943,023,589,984,846,990,962,587,205,286,
896,479,159,743,354,955,608,603,376,354,109,382,541,711,932,452,326,408,237,
818,429,417,799,560,199,774,392,165,748,501,300,138,335,753,862,732,454,097,
460,416,783,879,422,121,611,349,932,689,839,405,351,252,006,319,584,081,775,
551,057,474,336,019,334,204,185,576,166,761,858,727,189,306,223,920,170,830,
627,332,976,243,868,726,945,824,484,166,020,441,106,022,203,304,651,513,097,
476,922,286,231,359,709,025,201,793,587,229,589,665,951,782,539,406,583,884,
490,754,335,982,418,542,531,005,278,013,009,952,479,265,686,933,534,168,307,
008,426,242,670,835,363,204,614,569,525,407,732,148,418,564,625,593,415,246,
658,331,126,265,111,446,484,546,009,854,048,687,763,566,373,336,108,449,747,
400,859,018,063,299,948,693,392,764,127,318,344,242,758,569,992,148,959,564,
366,349,683,705,520,121,116,934,088,358,901,202,729,234,688,304,251,640,617,
769,362,953,576,129,130,910,719,159,500,153,299,726,393,928,632,068,273,733,
321,160,787,400,675,499,515,789,909,805,349,341,828,401,112,132,823,233,215,
292,957,715,325,402,485,285,111,185,542,269,255,443,031,710,500,781,120,900,
234,000,779,998,332,687,706,783,517,837,829,375,652,864,631,447,284,821,335,
043,158,092,309,488,347,376,535,948,918,751,048,305,674,951,619,186,245,691,
493,243,584,948,433,190,692,897,338,853,284,326,492,487,251,393,084,824,641,
143,170,499,462,117,138,504,656,621,241,646,474,135,446,172,554,164,209,789,
267,568,396,245,877,228,602,771,273,382,680,460,386,798,083,987,651,423,361,
675,376,175,516,684,763,204,859,505,446,033,106,447,393,702,244,306,843,086,
258,948,952,224,465,625,300,000,309,959,219,462,660,942,850,963,774,593,271,
675,872,742,498,832,448,029,623,699,079,272,170,800,824,922,818,276,348,214,
965,079,882,637,103,199,386,192,938,306,506,109,188,304,289,249,946,030,975,
966,293,004,252,121,186,401,414,382,795,855,475,634,367,953,002,929,264,559,
943,759,785,857,524,215,975,320,322,951,100,197,631,902,040,395,236,688,036,
087,079,680,852,264,082,847,726,364,101,666,878,258,333,118,829,968,030,317,
126,330,756,855,683,018,219,755,061,895,501,809,159,460,278,707,456,765,264,
617,736,947,257,781,670,830,457,041,502,821,760,174,073,098,793,353,831,146,
763,302,258,095,913,353,228,742,593,605,539,337,899,210,481,389,444,446,994,
078,233,660,289,819,794,373,360,197,204,789,426,172,167,632,661,369,650,883,
967,858,533,482,080,225,854,493,848,282,100,758,207,640,439,004,859,400,531,
330,458,725,346,266,438,714,627,414,248,535,352,605,919,762,468,464,377,937,
922,400,241,732,360,293,870,870,271,301,793,355,282,674,494,874,151,086,818,
063,320,935,419,967,451,717,108,828,694,910,078,693,221,438,836,330,332,975,
428,051,592,173,762,763,174,722,152,499,664,889,866,304,396,796,885,774,927,
170,183,876,915,305,228,749,907,664,392,684,610,324,136,934,656,540,648,606,
522,702,961,824,393,971,829,133,960,254,182,147,687,318,925,436,325,049,149,
890,095,757,075,176,868,292,106,788,534,728,081,569,439,642,503,991,670,058,
968,274,642,096,428,421,900,139,085,515,625,730,915,416,335,791,402,101,139,
259,304,213,996,524,509,341,104,866,670,691,563,829,530,891,556,651,711,519,
374,272,900,129,229,348,136,803,531,219,404,353,260,156,330,064,908,285,599,
041,621,838,747,192,161,715,558,753,189,287,964,798,179,972,702,278,146,454,
913,693,374,675,215,685,512,356,054,484,050,199,855,954,675,331,236,014,484,
707,472,168,139,366,891,402,325,331,544,049,959,996,674,280,359,180,801,777,
219,648,764,744,154,231,137,836,281,034,595,155,438,206,033,443,874,427,149,
262,864,122,390,334,501,016,887,231,275,342,156,041,065,593,718,599,757,187,
324,577,614,558,260,675,169,543,215,921,638,030,025,995,040,576,289,164,665,
043,311,233,131,106,995,124,561,968,823,397,733,942,980,068,089,155,261,791,
285,108,325,659,205,717,848,457,508,821,975,892,209,165,884,222,231,009,508,
477,102,631,487,192,240,605,981,970,463,674,208,691,636,093,217,739,652,651,
717,482,594,577,531,068,825,180,276,149,531,285,862,036,830,216,371,105,092,
683,091,618,190,718,383,007,427,201,413,268,812,618,327,682,838,490,202,445,
797,229,273,691,115,163,220,335,045,696,900,082,663,969,854,450,109,740,151,
850,159,459,804,187,663,939,381,840,948,078,114,309,138,038,356,300,406,448,
501,706,538,651,670,225,580,425,591,028,520,921,161,318,423,945,672,087,069,
702,683,069,822,514,807,635,576,410,722,867,121,867,011,371,817,268,678,999,
586,724,241,234,039,732,388,991,493,755,798,376,560,015,638,620,599,334,905,
621,388,145,475,207,217,630,485,980,824,030,479,812,916,859,198,792,926,764,
066,762,030,505,431,673,625,962,152,889,505,038,341,929,137,774,674,784,428,
002,466,003,784,342,003,083,173,635,257,723,298,212,493,798,877,466,245,153,
857,514,102,686,543,580,076,103,232,767,040,667,416,771,188,688,175,796,896,
497,016,042,933,943,759,859,078,086,516,259,136,905,679,332,459,618,832,067,
191,905,882,397,999,434,859,094,666,838,861,926,583,287,891,989,252,333,143,
615,663,537,074,347,664,667,500,485,748,023,688,844,895,970,857,298,077,938,
898,924,052,653,920,448,959,770,139,802,482,756,107,541,605,006,376,457,074,
410,872,468,989,294,070,240,237,573,591,393,014,934,663,049,903,693,132,772,
991,548,958,717,062,391,864,887,447,282,466,821,560,361,216,990,600,191,005,
182,324,749,552,674,652,509,709,914,085,916,009,553,834,518,985,570,612,028,
274,713,503,134,296,503,375,610,058,196,173,432,177,991,720,987,317,580,361,
440,241,829,971,340,392,127,238,437,508,476,091,113,842,231,268,210,464,076,
737,468,722,334,631,947,320,371,146,782,609,884,951,857,388,647,918,996,565,
327,365,703,795,892,131,929,227,752,635,095,425,609,535,430,583,277,119,633,
223,014,841,089,999,678,104,946,328,813,622,611,463,515,334,806,576,783,683,
741,765,163,944,069,736,085,258,393,533,799,369,326,297,715,384,788,877,011,
442,390,056,036,513,058,397,159,775,989,757,135,671,361,891,444,265,959,036,
245,383,834,930,623,760,611,899,213,597,369,170,667,440,476,805,445,500,941,
212,503,571,379,754,847,120,719,440,308,870,683,024,384,135,397,499,099,754,
808,982,984,913,256,272,968,255,403,032,807,318,455,010,367,128,031,085,417,
697,710,371,659,995,684,448,420,012,166,142,466,360,728,871,103,952,826,071,
109,274,878,686,051,671,462,929,267,578,644,529,011,632,437,195,301,244,100,
926,138,196,061,067,023,021,494,545,883,724,945,948,490,507,665,558,315,388,
721,204,562,821,037,517,305,523,681,862,071,646,577,442,351,333,152,786,002,
701,300,498,521,116,812,694,298,668,865,482,418,518,395,600,424,943,295,648,
636,681,888,600,074,727,123,528,748,459,571,384,709,284,547,926,759,082,108,
876,832,898,137,631,670,692,469,002,516,678,514,799,183,644,175,442,977,423,
181,120,813,845,446,229,917,925,248,719,955,311,487,984,400,517,969,103,815,
407,791,977,448,187,854,382,497,265,310,473,907,032,340,273,439,820,664,182,
298,313,460,026,500,213,921,322,903,686,045,788,070,984,142,399,880,482,451,
067,437,146,602,247,195,893,335,786,558,569,447,661,249,688,901,907,752,016,
491,625,522,175,887,040,712,366,464,746,598,578,876,174,137,625,438,332,402,
187,022,402,140,767,303,373,461,887,412,205,843,777,379,828,373,739,053,739,
468,917,122,109,970,989,259,218,911,932,457,354,870,224,355,047,894,377,216,
520,591,274,748,510,848,328,287,325,073,084,530,581,847,582,109,034,499,144,
735,329,739,984,118,628,854,611,049,739,939,556,743,980,122,699,016,167,828,
987,796,091,412,573,207,863,447,385,496,320,144,451,236,945,774,970,316,874,
162,877,365,684,430,196,808,143,733,949,066,151,611,726,821,537,738,265,635,
297,364,588,728,577,629,844,302,597,563,657,787,701,308,884,680,944,289,355,
091,921,079,853,396,052,881,517,385,064,548,223,438,915,122,804,097,394,827,
390,502,828,125,657,133,077,753,426,614,850,084,944,880,014,841,466,674,746,
658,723,023,439,192,658,667,236,658,564,838,200,128,727,559,188,000,875,387,
969,943,506,956,535,445,706,876,718,234,901,364,029,220,243,901,016,645,848,
448,582,268,263,304,763,554,028,857,185,286,756,392,851,254,035,768,263,961,
969,250,691,356,200,030,465,329,526,899,012,998,418,575,997,087,747,366,761,
433,356,015,611,165,147,541,637,929,985,112,226,655,770,473,335,081,899,455,
577,419,287,146,029,381,930,162,405,288,449,117,514,406,914,163,864,260,029,
454,747,676,495,880,303,003,112,375,372,452,977,205,959,044,350,045,692,759,
574,931,878,226,473,090,152,747,913,025,517,255,571,294,053,381,611,391,800,
578,055,247,721,416,414,652,851,678,213,734,613,286,941,791,712,381,783,790,
076,306,433,510,203,309,236,632,149,375,427,972,665,466,776,677,787,702,104,
761,465,250,935,047,104,077,568,208,141,586,973,501,175,578,168,015,281,468,
342,989,022,747,321,457,530,626,710,101,157,889,468,039,421,371,866,342,552,
558,539,667,382,964,860,881,249,139,458,387,842,088,619,456,412,636,999,993,
034,843,757,300,634,644,735,519,812,451,780,479,269,621,180,563,714,277,881,
065,009,046,365,250,442,677,140,723,963,789,872,593,230,956,489,966,286,670,
834,132,585,166,715,189,277,556,132,359,223,736,463,209,574,479,134,619,113,
563,753,471,363,391,521,809,243,785,071,910,552,071,767,870,400,971,072,950,
698,248,298,958,464,798,731,028,177,710,814,702,326,656,595,673,287,984,798,
870,116,107,387,825,505,958,274,767,761,256,025,485,480,614,316,613,148,150,
754,813,585,987,987,817,456,176,698,455,320,749,854,655,124,277,710,655,910,
759,717,973,880,561,835,487,548,992,154,211,788,595,889,125,153,143,851,785,
623,587,858,929,549,584,891,627,720,905,670,738,714,125,708,106,223,167,684,
686,096,095,673,761,002,745,947,296,464,371,233,901,548,804,732,230,154,939,
892,212,934,092,597,191,717,526,324,331,805,240,043,671,889,653,299,808,842,
470,946,064,891,262,922,040,383,048,730,331,492,301,066,770,307,738,645,647,
313,481,663,202,855,309,277,835,414,344,924,831,169,658,867,648,121,426,112,
803,564,288,059,627,656,451,401,799,100,904,688,159,661,679,136,600,480,366,
643,419,087,175,104,705,353,102,449,993,636,422,709,049,420,685,858,462,090,
776,580,752,175,596,601,980,061,414,284,321,755,612,269,105,648,233,766,577,
864,618,014,541,292,795,902,343,365,179,682,787,250,166,519,675,238,565,439,
903,855,194,354,091,207,448,862,175,704,261,203,829,278,336,549,666,056,367,
133,269,268,858,697,764,004,561,104,137,931,631,901,825,533,586,616,831,515,
575,410,831,504,903,574,579,470,544,481,695,833,478,794,526,625,107,029,275,
588,091,402,491,911,134,925,438,748,118,590,215,358,195,321,813,289,931,330,
100,002,508,401,037,981,717,896,859,612,301,888,570,400,455,830,336,784,309,
028,117,300,622,479,644,394,550,051,223,258,244,165,774,641,994,315,552,976,
254,038,242,635,006,345,727,169,613,821,431,465,971,562,985,092,466,111,922,
446,146,643,752,455,555,844,534,130,624,203,353,280,000,941,604,930,276,217,
546,689,695,566,629,948,774,167,351,106,113,188,933,871,538,826,351,930,443,
121,845,746,041,048,493,382,014,519,541,637,186,951,730,591,733,781,542,292,
948,313,538,773,129,930,849,997,693,334,148,311,765,946,025,698,676,374,449,
051,094,216,186,716,110,042,295,470,939,958,672,493,106,408,348,402,458,476,
351,154,626,408,691,428,280,794,653,228,851,241,651,829,771,099,721,527,698,
239,326,572,586,522,950,224,588,259,546,528,695,844,983,897,498,179,845,721,
423,025,082,640,990,311,175,142,912,725,859,983,556,979,673,664,148,322,674,
856,654,324,856,952,969,209,441,684,092,471,920,040,667,480,517,559,441,912,
869,893,098,872,224,682,905,206,779,197,646,934,208,338,947,912,560,763,466,
177,559,400,682,350,028,827,118,539,847,490,780,849,461,560,231,992,162,053,
281,587,038,204,745,486,082,100,594,046,039,841,132,969,841,647,867,698,336,
156,621,173,423,758,519,295,965,801,711,388,948,173,824,301,715,978,631,274,
796,669,041,845,182,693,361,019,453,722,011,375,945,966,236,107,877,638,246,
348,169,840,567,768,202,212,375,884,848,843,918,005,007,186,815,359,410,486,
900,562,590,285,539,116,233,791,821,829,778,155,273,286,508,845,914,699,347,
154,889,481,137,606,458,272,882,024,060,076,479,988,206,138,678,107,295,005,
155,791,707,385,462,228,991,161,453,048,917,759,724,429,578,216,532,699,183,
048,228,309,375,402,402,906,542,098,987,951,681,987,681,520,872,581,878,383,
196,381,572,378,629,320,156,161,606,259,394,669,497,690,897,964,864,430,363,
299,417,853,686,075,193,363,062,306,823,997,245,899,743,803,006,176,619,401,
998,020,913,427,198,316,280,412,784,108,678,836,285,908,526,911,424,335,768,
849,872,177,862,844,180,439,311,531,422,290,472,831,455,114,421,157,538,939,
906,061,582,975,798,594,042,622,133,054,362,848,519,086,617,636,122,877,002,
067,203,382,381,199,838,659,601,900,158,626,975,534,623,371,100,331,682,331,
433,406,989,297,273,047,280,430,331,269,930,646,970,921,411,757,071,913,373,
293,898,533,027,868,156,447,568,975,284,941,579,599,282,146,188,925,983,306,
682,443,150,823,107,681,626,960,611,026,100,872,020,199,666,150,660,404,564,
762,157,584,588,351,017,325,957,333,382,075,808,313,404,229,043,583,330,064,
939,091,917,634,296,202,872,717,652,001,974,915,326,174,269,050,198,840,368,
594,417,289,891,038,384,283,749,128,426,307,149,698,136,732,365,368,065,832,
807,895,244,567,362,735,912,843,725,623,245,880,021,640,315,894,815,552,095,
380,528,046,269,381,363,395,337,394,932,702,246,266,574,074,673,501,770,440,
353,179,582,798,463,013,227,320,536,544,378,837,804,398,127,802,563,387,333,
753,068,368,875,939,064,779,733,182,122,873,938,610,857,833,524,293,332,083,
392,336,135,536,529,440,695,748,556,837,152,450,088,020,263,110,737,131,625,
527,307,476,063,999,634,511,526,555,829,307,212,745,915,151,727,587,930,899,
363,926,735,386,333,169,471,652,443,701,546,764,881,317,833,799,541,282,489,
709,576,063,811,180,759,474,742,756,298,612,566,805,644,741,928,194,826,969,
764,470,065,379,966,789,563,862,022,266,698,304,036,431,990,031,376,902,693,
065,754,989,304,092,472,527,440,134,314,009,679,107,716,412,776,486,197,557,
866,123,288,010,156,743,120,862,174,058,490,079,174,994,441,747,835,296,356,
766,903,030,588,891,781,835,139,994,295,527,130,926,732,336,737,631,767,024,
250,989,781,106,295,893,593,971,093,066,828,233,863,032,868,227,897,788,507,
476,405,667,531,509,101,581,778,764,194,026,434,460,626,081,423,742,358,764,
722,950,831,804,165,732,572,707,727,944,910,159,310,285,841,343,394,626,185,
571,119,123,735,877,039,384,064,841,026,642,321,193,164,062,250,317,979,380,
092,945,422,091,159,120,789,051,106,563,822,911,943,469,780,590,144,956,094,
500,072,510,238,370,949,140,384,830,774,898,772,784,406,633,962,241,016,477,
825,648,302,599,913,273,892,168,585,824,565,260,074,731,229,977,264,284,027,
431,577,234,265,956,975,713,787,496,596,716,768,586,756,439,603,258,321,721,
639,842,277,825,294,113,788,738,090,158,966,522,552,573,951,962,483,650,329,
320,885,740,655,081,923,694,546,075,837,378,535,619,196,592,375,775,799,553,
434,501,777,825,156,544,896,199,596,576,606,221,295,391,286,018,017,608,933,
405,720,392,817,841,244,830,534,552,122,447,431,450,207,389,546,831,188,965,
253,004,688,604,741,206,930,179,799,882,690,117,904,385,558,060,513,844,476,
014,325,004,134,831,830,422,129,618,416,564,913,493,105,897,605,706,826,607,
975,655,873,010,865,671,553,050,667,015,331,073,429,612,498,454,689,838,562,
810,051,063,630,437,430,133,868,798,919,525,977,128,219,823,462,930,625,320,
098,275,802,552,681,238,330,369,601,852,204,663,993,281,075,272,703,973,489,
198,776,764,995,888,895,842,385,634,934,445,161,823,573,244,249,424,838,736,
346,144,977,280,234,968,780,551,004,656,558,292,532,749,230,646,084,381,010,
785,530,498,170,630,389,200,660,171,781,744,050,088,086,910,064,943,788,256,
630,437,402,557,987,014,487,378,226,155,005,889,339,168,597,060,728,847,685,
968,270,875,226,008,408,028,219,142,215,732,776,052,388,423,679,875,021,117,
462,145,251,555,871,717,330,897,132,167,551,359,762,798,498,002,972,098,456,
869,245,691,560,941,931,318,063,348,325,130,272,626,785,970,586,033,995,972,
284,030,429,151,799,369,918,608,811,581,762,058,552,507,465,100,052,198,548,
003,473,349,296,127,160,038,481,836,283,745,635,890,163,782,229,873,995,486,
003,654,768,420,795,853,938,760,424,848,231,856,866,423,932,216,764,086,094,
309,782,350,043,271,971,723,711,292,000,858,878,589,593,656,594,227,956,197,
523,420,194,152,907,341,707,358,664,562,393,586,352,392,574,289,055,700,969,
147,304,857,530,284,115,967,159,003,572,282,049,674,370,017,929,975,478,166,
003,215,082,564,602,039,686,252,309,567,253,112,853,071,351,145,798,361,704,
828,018,356,101,227,783,250,905,094,249,224,081,962,414,543,827,877,943,552,
882,073,759,739,713,339,818,400,028,065,441,507,656,197,723,236,579,610,340,
438,654,396,804,299,706,273,625,409,957,599,161,475,548,663,317,760,260,942,
678,403,035,980,406,075,429,694,750,506,493,037,426,547,113,061,005,233,625,
499,392,494,863,620,371,881,999,273,443,851,542,005,519,064,515,005,034,643,
867,154,765,047,404,573,626,477,613,733,338,052,589,250,345,957,452,463,387,
984,482,036,113,412,560,924,052,066,310,770,163,614,938,522,312,361,027,817,
786,896,025,789,054,078,151,285,594,237,766,328,158,708,251,658,374,068,382,
713,342,289,753,145,544,155,842,968,051,567,442,039,568,617,392,950,382,249,
202,243,342,439,690,067,274,568,690,060,125,007,121,188,579,964,205,833,389,
343,493,302,605,167,973,431,843,573,223,374,894,588,728,466,256,724,873,007,
195,165,515,028,002,984,908,983,691,951,226,322,649,509,476,076,415,697,373,
748,173,672,842,247,539,258,564,084,314,787,870,918,890,600,699,889,738,334,
824,412,809,257,508,725,311,615,832,837,854,530,917,469,609,454,327,927,865,
520,782,721,344,325,389,661,012,721,985,727,564,654,024,846,582,379,154,128,
611,858,888,009,057,987,332,389,351,407,575,505,531,420,982,826,490,549,381,
257,386,320,124,113,770,565,878,101,273,703,693,799,520,061,439,351,289,730,
716,916,923,641,423,737,864,179,189,257,221,992,284,509,712,285,488,544,141,
400,638,097,730,297,719,744,620,703,543,277,735,681,363,918,045,085,993,500,
210,149,034,515,044,331,891,289,394,445,984,295,048,389,641,326,987,950,839,
989,005,705,091,349,895,306,446,869,071,642,257,297,479,800,960,902,803,976,
502,562,729,767,620,182,941,573,089,118,495,836,380,320,921,411,780,737,516,
803,175,610,430,619,853,510,298,070,531,234,710,644,491,462,153,786,297,609,
114,425,226,691,005,283,836,919,495,592,839,086,186,598,153,075,820,193,110,
695,462,933,421,827,048,541,304,667,896,024,633,908,675,808,190,513,451,871,
820,256,780,719,441,790,855,761,208,124,061,970,218,470,118,821,639,632,792,
860,161,432,687,184,405,622,811,502,093,038,726,125,952,033,248,683,809,712,
972,296,189,171,884,726,859,049,817,082,005,028,085,567,250,249,864,617,590,
076,530,046,226,698,293,183,294,665,791,695,765,131,443,189,587,375,698,175,
451,185,843,200,179,246,523,523,190,306,691,021,016,363,895,110,855,050,818,
312,387,160,477,791,559,543,607,663,621,588,058,951,553,395,144,490,637,312,
417,433,093,575,959,581,590,025,737,743,760,276,705,838,814,017,958,867,017,
782,430,101,931,679,211,437,215,702,924,128,873,521,992,532,782,383,105,210,
646,126,718,237,670,734,058,401,560,767,569,788,068,177,006,652,101,185,754,
712,229,945,109,242,224,390,474,651,719,502,873,691,312,979,291,815,605,084,
663,084,983,783,258,884,256,002,747,660,658,452,771,550,487,741,596,685,395,
360,704,600,986,045,963,880,864,502,626,180,835,078,219,570,410,997,234,176,
928,995,680,663,606,698,039,294,117,400,930,197,886,813,536,466,067,442,312,
112,824,946,394,350,173,593,701,787,460,373,154,294,913,181,535,371,275,043,
658,846,295,109,267,964,238,008,709,840,992,209,249,427,005,119,476,638,497,
377,044,130,370,461,330,742,046,564,050,776,866,053,734,186,765,125,717,461,
594,139,994,797,953,839,353,189,150,787,182,470,785,708,308,522,510,166,383,
893,859,365,235,550,222,239,618,168,463,579,788,681,669,051,253,405,034,726,
281,101,080,049,053,308,166,609,970,756,913,064,466,322,583,888,164,412,889,
821,213,289,379,542,107,426,543,355,330,399,715,805,065,868,858,048,990,057,
288,503,529,611,582,170,320,568,831,292,461,117,244,420,960,125,619,943,118,
277,819,037,655,108,646,073,247,015,657,178,490,135,497,783,977,178,912,404,
681,513,728,671,993,244,039,699,593,217,800,873,698,442,421,474,333,162,156,
991,011,537,554,458,796,214,139,398,246,348,726,644,397,539,277,871,172,305,
905,547,827,229,575,685,528,243,138,832,590,859,508,534,374,504,393,703,378,
700,182,090,634,482,022,285,631,884,294,877,241,279,429,680,350,993,799,095,
369,925,960,093,467,224,410,881,304,766,707,678,469,639,724,854,011,801,868,
067,648,019,694,393,477,331,050,573,634,932,524,578,827,513,789,010,676,234,
456,836,384,664,365,189,044,124,239,694,614,817,026,648,454,365,398,864,397,
477,622,471,665,249,862,952,300,511,397,564,058,383,060,382,974,566,716,533,
002,745,537,576,953,662,234,637,115,136,890,320,494,806,265,523,600,231,083,
746,365,335,743,635,267,129,492,989,871,403,070,114,515,610,682,007,341,404,
838,065,634,687,120,878,794,167,100,325,979,177,049,598,854,080,304,238,846,
959,153,698,509,962,589,080,900,883,356,152,287,201,945,433,085,338,068,090,
589,995,821,257,639,223,930,254,345,592,340,620,488,238,778,128,868,150,021,
487,524,149,105,291,666,939,777,970,534,192,166,074,142,926,608,301,768,657,
033,689,225,568,454,280,220,581,342,137,573,824,181,453,164,947,205,439,550,
323,697,831,778,838,838,371,263,664,327,531,978,915,879,490,401,542,826,674,
722,672,872,548,196,539,815,268,509,354,376,236,276,306,587,255,716,546,673,
294,890,324,686,779,414,106,371,247,454,704,629,060,352,128,241,699,428,993,
091,035,335,980,553,232,057,556,580,032,363,131,842,247,366,723,888,763,078,
570,749,633,425,787,648,145,149,324,523,368,047,236,207,838,236,676,111,746,
189,317,217,190,243,335,661,030,130,297,806,996,771,853,579,436,487,951,773,
702,021,303,204,859,545,222,352,791,495,364,373,925,895,605,604,559,959,124,
145,260,199,031,583,471,986,835,734,584,142,627,439,724,593,880,147,884,291,
263,936,558,875,720,869,175,439,243,194,485,501,197,945,366,018,070,296,677,
118,578,927,647,666,338,746,403,465,054,953,294,560,696,325,461,855,030,001,
087,846,851,422,768,909,252,067,294,070,752,467,233,251,389,475,585,658,971,
677,025,410,753,640,478,505,833,951,855,289,898,259,713,300,158,326,667,315,
506,801,388,895,903,108,118,706,679,574,878,224,476,246,147,212,654,385,131,
868,475,011,852,482,019,941,360,896,305,635,855,923,900,781,830,693,698,061,
702,574,590,172,087,042,708,246,023,756,058,015,333,922,323,949,511,555,359,
083,445,863,907,112,754,435,030,352,675,416,679,230,276,309,854,291,187,102,
891,716,828,764,173,684,190,032,695,655,972,104,545,379,794,883,549,094,524,
840,831,128,628,004,508,557,633,832,265,233,920,265,790,006,906,785,623,242,
811,216,593,872,167,850,584,818,251,704,249,535,301,041,409,991,849,541,550,
144,105,454,208,334,824,508,124,718,680,230,156,490,129,998,410,655,632,361,
575,697,203,451,883,804,594,533,447,269,561,070,347,675,389,007,933,724,023,
302,519,616,940,884,563,125,549,139,511,860,799,387,790,937,535,305,315,772,
927,342,032,882,962,083,547,075,505,306,414,994,249,757,850,106,363,917,184,
004,752,118,874,579,697,096,005,099,138,629,168,723,908,937,498,791,319,457,
098,141,109,731,423,159,143,927,744,541,252,855,821,368,364,512,585,534,585,
644,901,803,355,451,329,456,884,360,670,887,748,162,955,055,501,479,980,331,
120,774,959,914,291,281,748,094,862,119,043,989,166,113,893,396,181,821,521,
770,744,778,683,439,021,363,409,562,899,279,452,450,501,119,768,995,510,990,
572,373,877,134,151,908,159,447,976,599,751,254,692,574,313,112,348,157,511,
585,952,457,470,589,924,046,197,167,913,128,166,823,292,318,688,767,422,266,
834,456,145,238,259,174,680,736,978,310,703,790,915,898,285,063,475,214,727,
710,785,567,115,259,741,391,460,666,835,074,077,019,313,812,039,287,163,605,
753,952,475,327,220,037,952,200,883,018,629,721,829,937,416,270,877,400,243,
366,188,451,950,170,059,129,467,624,062,034,379,481,012,759,099,295,359,984,
347,723,375,576,624,407,324,972,783,209,174,562,161,331,022,138,447,772,546,
354,074,597,868,965,890,829,274,500,483,713,646,613,464,452,578,636,276,099,
778,745,434,748,336,000,915,268,595,935,941,664,441,385,975,102,857,900,414,
503,053,778,221,595,360,767,388,987,251,090,223,723,505,411,536,375,517,938,
584,320,165,311,501,559,763,133,527,195,342,658,291,256,948,170,215,938,709,
941,879,924,366,684,534,889,520,813,342,870,090,356,364,574,275,223,856,761,
444,778,245,560,877,657,707,231,037,200,654,936,798,304,999,498,158,990,741,
238,905,560,241,642,380,287,685,352,988,681,896,853,735,222,744,625,145,457,
666,790,287,599,784,492,855,877,307,073,790,366,748,312,364,637,716,782,908,
001,970,748,824,118,614,786,916,699,085,167,856,417,362,344,904,217,494,640,
237,759,926,225,856,533,644,373,389,033,288,038,699,521,944,193,829,776,808,
157,931,281,941,158,931,512,115,909,532,928,656,707,208,236,399,799,413,420,
020,341,355,716,221,586,919,165,925,993,640,712,110,599,091,535,610,010,550,
223,558,809,993,959,480,387,374,389,960,921,235,972,461,039,391,701,015,323,
754,177,800,197,300,154,537,228,498,848,627,621,324,640,428,394,099,278,000,
149,536,190,056,152,279,167,122,003,081,515,601,221,168,557,358,917,019,766,
106,682,803,060,303,558,591,499,728,475,924,527,660,145,638,216,565,519,616,
957,194,962,770,062,860,988,163,499,433,665,353,593,768,161,726,975,997,596,
094,678,866,631,735,579,947,877,198,905,466,002,220,110,730,595,770,067,692,
758,885,701,625,742,541,232,256,493,424,741,809,039,371,567,651,083,734,009,
619,026,497,005,716,221,956,100,964,408,234,125,376,584,499,922,765,768,075,
050,842,988,119,876,552,884,412,596,641,986,368,092,109,854,066,763,331,728,
730,466,689,743,401,258,296,140,183,131,820,032,717,019,681,646,355,309,812,
803,082,112,545,095,488,213,339,852,258,536,420,194,737,229,005,418,190,480,
579,210,457,256,946,593,307,132,214,491,743,788,982,988,006,395,609,939,962,
387,149,415,417,281,799,112,146,185,121,269,792,779,643,717,445,796,643,399,
377,519,908,048,274,661,348,969,601,006,431,301,077,886,263,639,685,750,273,
491,792,613,450,304,921,228,826,832,558,522,555,717,847,269,742,321,432,966,
294,308,042,882,454,585,469,025,858,486,388,626,198,940,822,480,453,028,610,
564,476,165,695,551,512,705,931,039,502,711,727,286,299,077,363,469,675,501,
204,716,410,952,809,200,608,847,202,464,844,928,531,133,000,033,999,663,062,
420,318,749,063,193,734,804,488,532,189,352,988,582,208,155,351,862,780,631,
859,565,294,885,474,500,009,077,894,844,880,004,875,926,205,359,326,702,772,
673,475,546,888,326,035,710,663,194,389,907,497,618,698,733,694,055,069,679,
859,283,217,265,275,136,016,191,863,924,129,767,265,317,297,525,445,277,190,
189,066,048,496,151,386,244,694,607,617,044,638,772,049,934,082,066,825,529,
284,020,435,881,433,519,943,915,399,096,054,387,856,997,098,579,951,486,776,
887,499,976,979,663,410,682,105,264,002,694,283,464,566,718,764,957,039,337,
730,293,538,429,290,607,629,414,345,061,827,691,088,865,816,230,554,886,371,
784,954,561,037,962,090,005,823,425,086,748,628,576,824,454,563,524,278,828,
361,945,553,852,251,132,786,234,660,065,988,131,622,365,407,845,967,734,740,
531,074,304,964,742,327,181,584,026,330,467,854,364,784,882,389,106,837,495,
516,868,920,599,680,646,783,270,449,759,148,950,040,720,274,975,468,050,586,
091,938,937,438,986,977,330,026,230,510,728,567,862,975,387,456,437,268,616,
307,071,594,886,512,595,188,783,876,163,363,887,877,172,260,636,724,133,992,
974,363,206,129,442,428,309,031,204,528,664,010,929,151,647,787,613,301,401,
750,141,248,569,290,531,913,829,569,467,513,641,012,815,426,951,634,144,773,
935,207,491,428,323,334,593,263,575,396,673,896,405,818,492,675,738,161,350,
032,871,413,399,766,105,786,301,909,514,057,400,111,291,671,046,043,329,688,
938,893,655,728,412,804,779,866,766,069,412,875,225,384,072,494,277,582,632,
996,030,882,445,052,897,006,266,279,031,409,074,937,672,047,079,489,558,552,
888,878,667,321,240,861,747,620,976,866,585,650,593,785,707,130,733,995,033,
791,476,904,079,722,484,849,125,714,733,386,159,392,093,695,602,976,887,402,
013,832,179,816,199,524,198,149,575,070,855,527,494,588,057,024,322,424,539,
047,282,824,924,104,179,503,377,977,056,123,083,873,838,056,508,406,055,801,
233,432,729,195,392,109,663,157,884,154,610,649,138,585,382,045,213,445,218,
777,648,886,435,317,535,866,876,134,425,227,743,991,390,780,738,244,322,865,
300,937,703,466,585,179,166,900,407,348,324,795,819,842,857,919,060,756,189,
028,899,551,973,099,408,757,020,384,534,133,585,733,386,509,908,047,163,538,
909,413,420,396,050,121,442,912,604,711,365,669,346,980,609,044,439,836,722,
834,057,435,537,646,016,845,857,442,863,587,586,032,776,135,012,182,853,033,
395,722,789,015,037,980,202,803,601,416,210,931,262,211,723,506,621,182,727,
296,350,416,958,080,363,385,707,849,352,973,944,068,204,181,704,726,340,461,
059,377,170,979,139,956,774,797,286,149,950,982,331,910,497,427,837,234,338,
743,819,302,489,158,706,758,204,852,127,894,137,332,137,100,458,326,712,731,
590,367,353,780,228,346,770,134,629,129,414,013,197,956,317,929,036,552,379,
596,884,691,980,577,087,519,247,016,851,747,064,554,412,107,725,915,553,000,
392,025,143,326,899,880,628,361,484,579,468,050,026,650,177,996,715,023,317,
459,036,428,688,392,995,446,340,988,031,004,474,708,571,340,584,765,374,897,
084,381,417,072,125,251,788,996,330,448,980,982,904,925,313,357,273,991,553,
217,497,152,158,085,583,719,317,726,990,996,069,411,551,520,980,668,401,503,
467,784,241,378,783,583,885,319,105,248,272,294,674,126,256,578,650,114,352,
795,830,549,389,691,008,919,232,831,254,449,490,593,243,893,630,768,782,957,
193,267,840,832,042,886,182,132,639,465,362,071,427,516,376,510,241,853,009,
822,414,143,609,191,916,258,318,562,062,517,457,626,672,958,842,987,371,369,
117,110,217,389,677,340,426,506,869,626,090,728,371,696,833,531,190,279,573,
113,785,426,450,095,838,854,290,163,155,926,544,885,735,999,309,095,570,452,
117,005,206,892,350,934,056,290,739,331,893,774,354,132,866,828,295,253,676,
412,628,460,241,119,932,167,441,843,119,707,419,134,836,592,295,451,778,453,
476,874,274,350,850,156,947,923,490,433,876,350,858,509,636,641,466,949,728,
935,572,559,713,063,704,664,193,833,258,282,574,562,972,829,007,110,773,541,
810,575,416,098,975,311,989,285,850,463,396,943,671,657,117,724,880,701,919,
920,337,208,179,757,768,136,967,170,463,526,043,638,281,060,532,857,550,523,
385,614,715,471,354,108,271,738,883,101,173,376,468,030,854,686,499,430,858,
605,368,514,974,600,486,689,732,314,562,457,921,650,186,117,084,378,685,720,
933,181,757,504,950,553,500,809,597,907,117,150,034,521,475,980,585,049,483,
340,148,787,976,710,376,477,988,011,206,682,035,156,184,309,136,449,318,134,
704,892,975,757,800,529,243,087,605,948,283,919,096,631,235,864,873,674,315,
756,974,694,047,205,034,900,090,403,458,080,608,876,452,975,126,365,045,832,
113,894,521,536,006,746,625,403,850,798,229,785,417,038,954,831,309,310,228,
717,085,123,204,672,907,767,806,467,512,087,059,939,424,488,939,875,532,471,
680,480,544,589,153,732,874,183,010,304,317,689,290,100,516,579,588,514,750,
195,345,334,610,748,199,654,462,364,901,556,724,827,469,869,967,966,277,092,
630,248,235,196,896,892,718,199,079,179,313,287,139,086,474,518,014,337,411,
162,463,757,317,240,292,403,971,485,280,554,332,731,508,824,082,464,635,860,
016,517,761,586,769,135,142,751,629,434,240,280,178,202,758,074,225,930,834,
291,031,029,824,616,207,196,346,916,176,721,348,817,173,753,647,233,923,982,
462,242,355,788,661,728,444,231,424,549,141,288,521,244,572,321,063,239,458,
720,697,898,229,380,270,320,714,011,716,822,692,000,952,982,141,220,052,965,
013,365,519,105,819,558,944,474,614,125,616,063,033,595,405,891,700,900,539,
936,902,329,750,935,519,366,790,367,943,635,205,211,967,619,483,043,972,194,
495,371,718,778,580,339,439,342,516,293,852,418,268,505,528,416,000,539,339,
543,831,156,916,986,827,890,121,364,436,740,783,383,935,103,299,730,668,207,
374,068,766,652,732,828,796,574,035,637,316,326,986,594,871,804,707,130,552,
853,603,923,768,998,093,045,894,862,093,553,817,623,409,137,411,677,829,018,
864,225,142,423,158,907,521,333,522,420,189,017,228,182,681,925,454,106,319,
656,838,293,443,576,178,065,771,066,875,822,301,766,220,379,767,366,173,848,
667,804,233,061,721,635,856,528,458,532,999,375,005,530,535,334,365,785,278,
577,424,638,123,967,757,231,954,590,502,185,561,255,195,202,712,658,646,440,
446,081,352,521,163,999,223,270,537,411,430,918,485,385,638,210,399,640,745,
341,269,141,999,635,986,724,260,966,976,422,082,365,708,887,958,325,518,739,
566,462,528,610,508,253,225,147,544,145,058,896,025,655,314,469,872,974,138,
771,322,304,515,385,467,226,636,657,143,783,647,382,338,839,333,253,484,791,
867,265,873,938,538,971,018,893,092,751,709,057,642,584,031,005,553,080,862,
617,397,016,434,038,589,359,866,849,435,097,351,038,179,514,601,581,454,831,
546,050,350,968,791,961,681,738,906,188,094,096,302,783,256,962,703,300,844,
683,636,602,119,910,551,582,667,094,953,472,441,431,939,121,262,971,943,972,
985,863,690,221,465,816,641,570,725,579,638,751,504,255,139,505,079,699,001,
366,007,946,305,730,737,718,746,549,455,953,921,689,274,933,912,459,024,528,
472,831,094,137,244,152,135,288,744,371,362,010,518,303,240,638,384,787,485,
377,395,153,044,999,623,629,360,546,996,655,884,625,034,241,803,719,563,211,
835,062,124,148,151,199,749,939,035,909,400,671,213,559,518,123,381,806,360,
484,446,105,728,508,116,265,932,685,695,150,359,334,806,573,113,575,788,316,
122,594,056,609,766,293,070,663,947,175,829,147,740,079,650,504,755,377,292,
681,358,393,041,669,397,535,895,287,676,054,877,152,120,512,595,114,393,625,
700,557,178,000,161,144,000,552,810,330,776,901,057,447,782,692,884,051,554,
362,989,126,498,331,970,429,254,190,161,496,870,778,296,600,205,999,190,972,
945,671,510,539,453,219,380,920,170,242,588,341,554,668,625,003,609,091,194,
464,730,321,573,278,518,355,457,858,089,895,468,363,843,801,816,461,507,526,
038,053,736,594,037,231,585,164,104,410,995,958,876,297,659,116,796,149,576,
197,102,482,409,114,208,228,826,142,020,528,093,964,402,229,415,826,060,881,
973,886,533,715,332,668,927,488,050,971,004,321,894,362,111,859,930,204,459,
897,582,251,863,931,540,485,834,286,324,998,400,565,315,344,486,273,084,609,
738,034,364,752,221,570,521,024,881,789,189,960,884,893,715,193,719,429,643,
989,045,454,155,440,025,697,981,076,665,242,036,556,867,319,330,197,080,397,
928,999,672,800,932,785,166,772,849,439,492,029,962,426,538,856,932,745,626,
861,379,519,121,546,333,840,183,249,066,411,271,623,661,823,480,691,128,281,
998,716,783,766,637,120,014,542,030,826,293,446,598,080,613,907,966,451,832,
309,017,780,950,734,373,073,666,712,334,337,923,105,172,602,101,791,072,886,
175,922,299,057,720,275,431,883,850,751,296,307,107,463,185,264,907,912,550,
136,142,180,855,345,086,443,177,181,821,238,268,960,446,104,126,575,654,794,
148,972,806,559,969,944,519,188,926,053,750,529,400,273,099,558,607,066,580,
323,789,598,600,025,079,495,052,081,553,334,734,312,117,259,234,823,802,146,
957,782,970,590,294,581,858,195,931,138,844,356,883,883,505,427,190,167,712,
995,362,514,329,672,923,523,735,956,433,051,612,428,561,890,179,648,655,248,
201,672,672,706,435,161,286,621,188,470,500,896,436,689,285,799,693,388,481,
727,500,149,688,373,266,092,980,303,858,282,002,650,996,060,877,619,009,549,
385,107,570,695,200,273,739,932,614,062,410,014,338,053,852,865,539,348,107,
591,362,045,602,208,472,564,480,100,995,075,909,391,923,122,715,150,686,798,
553,055,946,558,537,366,984,359,655,390,791,766,655,734,417,965,626,101,756,
839,160,310,078,994,683,691,541,114,076,637,479,156,543,253,793,360,399,018,
447,002,401,179,566,387,451,791,406,265,601,281,819,692,332,920,007,329,233,
225,941,217,662,390,505,654,939,091,199,496,805,207,044,848,639,318,037,864,
416,647,916,678,048,280,328,214,492,015,896,060,924,739,490,613,544,372,581,
510,670,852,590,173,345,413,551,781,622,144,104,657,440,853,858,044,886,293,
923,997,145,687,329,207,093,917,203,051,579,228,076,334,079,639,373,941,976,
454,398,218,100,291,620,975,670,965,364,931,863,389,994,862,450,890,105,071,
452,003,109,959,168,169,306,668,569,816,699,717,279,577,995,405,407,506,841,
128,136,601,492,606,341,053,162,543,540,274,326,887,561,983,688,931,652,775,
318,260,563,766,058,600,779,272,919,761,169,258,134,906,529,778,607,153,373,
437,672,200,707,923,971,413,876,691,167,079,250,433,125,756,821,442,174,666,
128,335,911,884,519,117,625,683,328,632,938,967,790,178,886,630,237,057,156,
365,427,147,136,699,748,623,616,224,686,955,444,763,811,360,986,574,567,660,
387,654,947,284,279,473,776,133,812,046,333,306,088,414,180,429,102,403,346,
115,097,368,104,015,012,372,880,632,524,766,364,692,971,351,425,375,888,099,
715,215,753,724,115,285,228,650,589,600,375,804,421,779,558,424,433,608,473,
224,205,653,469,888,610,830,593,196,274,910,851,947,049,622,890,965,343,954,
353,668,914,280,531,663,128,917,978,683,536,902,240,887,904,410,153,529,766,
092,668,194,459,958,967,292,600,321,275,259,786,319,248,035,891,050,896,852,
170,532,211,664,833,815,490,607,746,396,949,232,188,440,688,872,106,647,228,
368,060,980,459,257,044,482,910,106,475,262,382,637,028,313,574,440,096,730,
827,511,580,050,559,010,623,829,973,143,320,057,004,178,581,794,434,537,084,
315,778,664,917,428,668,363,976,484,966,516,436,881,199,494,034,209,736,843,
365,490,599,943,906,061,872,470,051,176,207,068,780,815,294,450,613,568,731,
477,439,977,338,612,985,440,731,832,583,427,733,325,044,650,738,246,418,181,
486,287,666,831,015,489,886,955,675,026,366,539,217,743,732,835,571,733,461,
176,130,233,298,705,499,886,037,843,763,587,205,113,633,227,584,731,514,369,
081,594,132,926,782,512,381,226,958,179,645,441,774,620,098,849,885,230,280,
174,216,469,689,722,640,654,657,907,907,919,886,486,826,066,670,842,727,647,
310,442,037,659,343,175,574,222,667,115,653,250,593,582,650,770,776,598,135,
915,739,128,303,208,834,700,842,666,185,403,495,758,324,379,731,478,426,447,
292,284,164,324,937,317,354,937,482,673,433,807,518,328,754,115,853,196,482,
907,057,304,247,789,174,592,337,124,579,942,982,317,536,168,514,497,796,037,
184,951,779,069,595,817,116,014,707,673,620,380,104,190,091,109,931,786,165,
432,085,160,118,755,117,630,711,191,609,099,049,671,870,563,012,404,264,049,
878,368,481,124,778,178,241,454,077,512,352,344,137,021,794,871,914,060,982,
253,505,322,098,590,099,329,488,796,545,033,504,268,675,276,732,146,869,631,
241,740,828,826,876,923,131,669,052,998,216,094,461,814,588,464,936,105,935,
032,276,673,953,070,053,575,857,735,116,295,093,096,404,772,905,616,131,183,
624,829,959,944,042,479,908,421,304,310,271,214,334,928,880,372,367,868,227,
782,742,205,640,623,033,142,829,066,358,862,753,169,478,368,875,806,090,922,
710,419,375,780,211,368,184,973,015,464,647,880,210,819,460,957,062,657,126,
239,597,781,533,551,056,106,599,189,497,346,801,214,214,826,740,227,630,303,
949,811,045,576,902,839,233,140,970,799,618,545,190,406,173,342,425,893,953,
069,183,327,739,761,165,294,445,989,615,806,399,394,625,550,325,416,769,292,
745,960,239,856,788,336,758,549,008,731,951,404,394,635,950,330,382,839,093,
982,903,458,597,616,540,425,964,855,372,662,408,851,290,164,209,705,961,732,
279,246,966,844,729,303,727,109,169,235,504,487,924,005,706,414,848,898,297,
141,168,712,288,224,376,378,149,066,396,398,443,214,441,334,282,414,483,247,
885,419,829,204,002,106,436,478,733,877,678,456,804,053,006,601,668,133,595,
202,787,684,307,240,264,226,125,862,018,329,817,943,643,184,178,129,986,855,
371,399,721,742,618,031,831,010,123,558,214,924,798,758,104,697,226,965,013,
073,698,767,852,787,977,929,981,750,942,787,115,027,850,186,614,358,577,907,
647,680,581,715,886,811,762,345,534,857,680,965,940,604,560,994,929,720,399,
502,121,381,707,266,649,366,283,593,529,488,359,144,908,078,046,772,593,701,
604,100,112,659,719,786,859,465,499,617,055,443,744,441,052,757,394,371,775,
653,352,540,507,456,055,983,034,351,430,656,810,986,785,188,426,820,034,017,
983,126,530,940,420,063,754,608,093,063,035,167,531,527,318,582,083,391,796,
786,634,366,504,456,996,078,007,259,714,419,551,078,132,164,192,295,335,010,
992,158,705,075,501,967,400,956,669,053,237,097,697,282,582,649,256,908,343,
743,233,336,254,633,219,704,766,189,194,569,218,868,905,437,447,732,555,207,
246,629,270,360,042,727,569,331,954,651,314,099,830,682,347,110,845,534,093,
389,303,066,751,560,036,886,399,497,398,325,523,344,299,121,429,731,363,961,
019,188,322,848,742,611,355,542,538,892,552,387,203,630,785,760,949,097,722,
913,548,924,334,335,727,998,351,589,348,450,884,221,101,494,396,838,217,073,
028,987,405,093,146,509,910,066,168,772,543,767,325,336,067,497,205,395,082,
212,287,189,016,265,054,364,618,294,074,074,730,430,177,669,328,906,770,238,
054,347,043,965,544,149,525,196,194,903,930,038,750,715,371,422,894,728,640,
584,293,782,986,439,290,177,735,358,907,038,619,536,529,101,639,220,760,801,
988,545,945,435,818,054,965,978,290,813,360,029,306,351,018,506,715,295,594,
627,815,723,842,820,039,134,272,597,034,373,001,338,370,628,026,482,807,373,
990,852,990,512,443,135,841,892,290,174,462,460,466,918,647,511,915,670,502,
216,592,974,681,032,511,489,231,132,156,634,541,750,369,025,584,648,162,972,
852,084,877,323,559,510,674,545,338,611,519,374,769,985,004,340,517,909,858,
920,444,030,842,114,787,032,034,712,446,833,725,172,705,437,991,138,160,808,
369,404,048,008,086,555,508,618,583,436,020,046,737,455,610,516,416,721,540,
163,455,527,095,771,066,597,991,761,531,826,117,891,410,082,963,710,574,760,
661,966,074,204,238,651,604,818,577,768,879,695,369,707,079,787,043,280,544,
581,612,341,480,488,329,299,589,725,109,881,437,375,306,832,813,480,806,549,
859,068,484,510,732,645,767,659,549,126,588,743,857,729,396,417,001,095,744,
853,776,754,534,386,486,601,389,122,453,574,718,136,116,309,665,869,910,661,
605,546,070,167,164,186,060,815,922,668,239,149,448,778,269,037,944,214,971,
618,219,366,196,753,859,883,152,093,771,760,115,584,142,859,308,225,759,897,
724,709,714,482,588,917,371,237,523,108,740,937,356,097,545,681,538,836,605,
133,102,684,096,675,033,401,285,652,622,476,941,571,691,351,836,164,061,766,
881,585,416,681,184,535,534,346,354,335,657,306,856,320,435,411,019,294,364,
291,822,139,961,237,233,707,759,840,126,255,285,764,423,440,046,027,275,123,
153,904,111,628,741,129,231,187,175,770,855,595,220,639,049,690,647,470,874,
682,450,933,816,870,451,509,842,277,322,028,811,007,244,484,263,362,418,790,
029,566,853,476,612,400,747,702,396,200,763,834,981,741,187,934,508,005,584,
279,558,754,506,015,527,143,749,214,776,839,018,653,763,806,723,574,419,804,
636,019,889,562,496,979,635,219,811,152,064,130,995,683,300,750,763,417,725,
079,178,013,228,178,186,601,982,463,134,280,381,609,856,451,567,749,167,781,
132,975,371,807,980,145,610,096,299,523,104,477,674,281,075,247,488,291,231,
625,836,949,971,407,291,496,712,847,005,430,956,430,393,941,100,151,478,607,
861,853,805,463,607,362,148,530,965,135,385,370,868,736,645,881,143,518,710,
780,580,502,552,044,696,343,932,510,722,955,070,467,474,206,016,097,389,198,
624,552,052,398,378,648,531,605,024,117,775,157,090,957,815,622,808,960,553,
415,597,972,083,868,387,202,338,149,346,219,480,529,967,966,726,852,705,878,
732,026,728,342,603,068,641,282,099,458,794,958,151,605,451,965,681,876,599,
638,509,238,338,482,232,721,357,519,152,147,998,350,792,960,185,213,266,838,
177,631,848,225,900,026,911,190,259,496,921,433,725,973,674,252,248,202,638,
718,074,105,573,758,709,253,659,175,333,186,054,056,627,063,154,317,912,321,
324,394,862,462,521,965,362,550,355,917,563,735,820,135,445,779,856,769,512,
176,602,205,168,266,370,547,199,040,544,108,035,036,537,528,639,364,239,743,
397,656,862,966,376,811,791,240,907,360,496,888,154,807,830,192,154,215,211,
836,268,765,777,113,637,188,795,915,601,978,395,387,125,517,003,912,252,174,
176,004,601,981,000,068,683,692,389,205,810,978,805,192,316,781,949,755,102,
055,139,868,019,683,952,762,130,975,815,442,064,470,597,299,455,322,683,158,
847,954,525,957,295,320,670,338,883,291,218,624,404,431,881,304,833,416,930,
633,312,705,316,227,883,554,055,987,695,244,320,456,349,484,226,576,631,137,
198,122,265,039,528,892,326,101,195,280,880,880,585,568,239,672,481,383,957,
940,647,992,183,650,271,650,758,421,331,376,424,809,306,370,027,830,497,327,
023,093,961,385,751,950,262,001,675,835,855,472,121,234,980,869,362,014,964,
267,323,847,844,170,141,724,908,452,322,548,189,691,143,234,248,861,716,433,
323,106,952,917,250,517,569,231,107,205,885,780,392,690,329,949,727,685,867,
401,373,068,110,822,446,248,435,167,237,761,489,439,624,632,592,939,280,801,
936,848,858,818,408,431,995,963,858,362,483,316,271,429,818,580,739,902,114,
723,117,567,846,829,168,577,889,021,543,111,507,234,077,082,939,025,366,918,
623,095,290,651,515,207,496,495,183,782,168,396,390,434,912,947,090,122,262,
281,948,201,477,668,413,597,274,439,378,392,514,694,393,991,415,297,901,764,
010,596,060,106,334,705,350,617,764,559,517,915,811,054,886,847,543,503,002,
627,980,511,212,322,906,749,526,595,942,836,592,426,181,065,066,105,588,383,
137,234,337,084,994,048,957,639,026,243,833,905,254,614,986,381,673,019,705,
472,839,647,864,134,810,778,509,912,402,187,076,213,892,669,549,572,599,771,
103,343,240,225,193,431,937,217,774,201,971,337,705,091,247,560,661,632,345,
980,524,121,677,330,937,426,452,960,983,823,435,220,410,728,104,384,028,246,
966,591,723,554,621,390,590,808,926,711,557,577,499,721,284,897,922,697,199,
328,682,016,926,943,900,672,128,801,599,064,522,467,598,323,260,016,829,444,
890,660,024,750,173,323,498,070,332,066,075,417,312,966,914,080,636,957,445,
398,136,167,991,921,802,465,938,172,050,100,256,546,807,457,670,504,848,833,
209,757,390,785,305,909,531,743,317,006,922,093,214,072,401,943,394,092,622,
656,112,829,702,325,490,041,396,702,157,467,907,317,809,135,928,276,440,525,
931,936,767,652,856,696,755,361,297,566,684,487,136,356,325,168,364,653,472,
721,138,801,781,420,445,722,483,722,142,696,431,941,203,812,023,573,208,242,
553,540,307,627,446,689,443,365,423,834,176,632,984,696,827,766,018,077,213,
183,570,702,299,122,025,011,891,954,451,278,756,776,453,448,508,511,032,449,
161,910,261,475,603,872,484,856,511,264,321,981,337,443,216,871,520,596,920,
525,011,751,148,639,660,184,081,042,633,322,099,883,836,922,608,257,569,379,
325,827,135,611,768,687,197,190,207,725,532,871,573,212,382,757,919,663,944,
637,799,902,396,827,374,794,807,483,239,477,385,301,561,159,337,656,056,519,
741,525,830,433,123,587,893,898,186,674,285,130,017,502,344,243,752,598,071,
318,226,676,964,888,460,420,859,153,913,746,368,105,057,536,456,663,047,694,
647,763,430,855,576,724,137,614,098,155,520,948,364,367,772,034,366,953,015,
934,697,207,119,934,730,108,924,156,375,394,919,938,645,822,779,845,998,228,
483,783,560,401,910,891,525,225,008,601,651,587,019,744,535,911,056,520,040,
566,543,139,660,960,294,322,381,489,157,641,203,641,768,741,003,535,606,102,
825,113,353,801,625,674,525,121,038,891,825,604,033,283,423,198,917,937,326,
395,748,868,218,737,383,416,582,523,129,145,105,381,199,445,367,096,624,957,
638,507,743,383,085,271,102,364,540,841,733,051,551,945,937,731,010,315,982,
713,479,202,814,955,717,643,429,782,843,177,483,290,548,524,819,380,604,610,
768,117,482,177,634,752,206,202,032,155,707,805,833,882,487,087,465,984,621,
302,024,130,323,913,750,466,160,619,759,560,956,049,099,355,967,435,986,636,
052,854,945,148,447,881,947,198,565,291,971,837,458,362,588,272,989,137,636,
753,244,832,009,391,391,851,162,320,177,727,878,265,612,025,569,282,708,488,
264,934,639,602,379,458,072,221,446,370,962,620,112,191,098,861,636,572,044,
499,165,526,235,482,892,558,469,525,121,102,730,140,274,636,488,632,941,367,
907,622,381,309,202,058,522,834,027,618,161,808,161,099,394,854,925,376,323,
228,040,024,943,462,045,202,790,060,872,496,990,515,803,061,816,833,186,648,
502,265,586,485,174,377,173,984,764,769,959,916,287,547,376,018,442,753,148,
426,704,509,710,481,440,127,137,382,411,493,402,748,121,450,659,287,659,516,
079,169,154,533,059,966,156,087,545,236,691,211,408,678,524,053,601,737,228,
822,232,911,483,084,283,334,435,656,401,383,260,164,256,779,389,381,327,191,
216,810,856,549,872,161,501,910,656,053,968,798,130,567,816,212,335,665,201,
799,615,269,496,112,451,323,334,411,613,295,597,742,575,778,426,429,263,132,
875,465,931,675,089,289,704,345,873,244,766,724,403,064,653,531,810,427,485,
239,639,577,124,572,710,887,107,438,126,381,891,026,700,116,794,663,998,692,
279,894,770,551,810,187,191,553,674,191,376,011,609,801,255,707,144,893,492,
370,770,814,827,933,794,372,448,527,264,058,484,761,746,339,756,122,163,026,
403,370,179,395,022,395,581,941,709,873,598,865,177,604,600,157,146,694,108,
442,650,059,518,192,881,366,474,138,319,680,056,901,061,049,621,652,629,087,
373,327,285,307,040,029,769,820,115,000,560,114,724,543,789,895,708,695,782,
151,600,244,910,687,307,716,777,439,747,134,498,158,691,285,738,512,826,476,
067,968,373,178,558,992,897,025,844,278,115,774,366,307,240,197,504,574,473,
107,332,743,134,392,801,692,770,052,307,471,263,732,506,644,640,047,657,883,
062,414,965,700,833,078,968,482,472,833,774,484,789,808,385,535,131,877,652,
153,274,826,940,584,711,024,295,785,118,492,399,588,169,926,398,751,873,955,
560,426,116,121,414,200,062,025,602,885,865,652,072,659,678,884,075,342,913,
889,173,130,689,041,480,778,538,855,663,400,631,355,627,750,058,625,045,930,
574,217,168,946,549,291,617,820,016,223,942,563,031,725,445,399,267,896,679,
919,177,587,225,399,732,760,125,770,428,947,213,908,609,406,004,586,990,779,
495,317,582,985,827,695,658,197,138,629,243,096,405,668,499,545,132,582,735,
202,098,919,101,534,099,693,194,919,528,581,899,040,958,671,625,166,619,440,
537,703,282,395,488,860,504,240,193,698,235,091,322,579,758,344,715,158,777,
147,489,185,439,282,114,081,533,426,466,962,740,125,104,754,830,152,642,800,
379,397,775,023,065,560,810,881,054,329,812,905,759,765,894,953,846,615,600,
648,616,147,084,659,108,109,275,227,919,051,888,995,510,240,351,208,465,121,
683,184,919,617,133,646,317,389,663,248,033,640,037,130,220,925,195,898,285,
573,556,284,395,729,716,053,633,928,625,937,606,849,499,556,203,766,644,465,
617,770,991,113,132,141,464,013,230,145,656,322,843,462,452,192,383,121,628,
785,075,414,831,470,406,519,620,085,505,380,619,016,445,362,344,868,745,542,
158,622,469,134,516,354,673,152,003,278,673,945,969,978,271,385,040,335,761,
382,064,158,431,321,833,431,905,905,118,340,378,433,040,163,101,878,627,848,
217,271,212,358,692,090,881,021,336,786,488,459,606,053,522,655,401,925,921,
818,069,151,783,886,551,232,870,713,479,065,180,784,777,950,033,329,822,908,
171,079,675,431,309,139,310,057,083,224,384,366,456,515,187,975,086,328,264,
433,578,646,447,424,889,617,511,972,348,686,437,315,768,504,785,507,933,368,
075,325,655,117,195,581,009,279,301,186,197,709,053,807,447,591,795,584,606,
067,881,395,730,937,613,983,081,959,288,257,414,910,868,946,348,343,259,304,
061,685,569,877,209,538,959,838,231,781,909,126,899,056,806,168,068,239,092,
352,438,708,924,077,777,044,758,944,625,021,387,376,251,411,195,907,337,549,
138,100,754,162,091,114,421,876,264,654,487,939,952,415,327,038,780,410,900,
524,941,665,444,609,321,160,505,212,219,637,980,386,838,598,661,453,456,059,
820,094,559,656,888,569,967,432,597,832,098,308,509,525,010,608,699,779,816,
590,146,741,559,015,187,879,129,276,964,187,844,231,390,021,141,634,638,416,
616,002,712,236,197,551,142,056,061,851,022,619,844,861,660,740,759,613,612,
942,290,861,094,012,933,781,550,876,150,333,051,647,464,913,430,314,145,001,
394,930,051,365,167,217,930,123,566,030,395,066,629,004,657,312,607,753,375,
017,882,926,050,218,828,964,074,588,126,142,680,891,050,535,459,655,771,563,
246,870,308,086,988,171,757,427,167,926,029,711,060,343,039,425,984,941,559,
072,709,083,618,378,419,613,742,745,092,624,408,230,407,690,642,197,256,032,
191,738,003,560,388,806,075,800,795,175,811,469,753,186,469,607,811,317,064,
127,165,665,771,316,965,524,351,962,120,418,954,147,171,187,065,605,168,267,
237,198,742,735,103,352,613,854,479,744,824,243,804,636,239,173,974,360,680,
083,195,287,916,853,073,093,695,184,101,183,239,424,814,159,556,657,601,925,
443,233,058,729,923,083,236,778,887,040,363,015,835,703,841,172,016,210,479,
314,799,882,264,766,564,976,265,074,438,381,790,010,826,100,160,377,512,062,
119,248,746,284,912,620,811,480,279,414,625,635,575,519,183,251,454,406,490,
768,244,753,118,413,440,719,060,396,481,479,911,803,482,934,349,738,945,806,
309,688,855,959,040,143,271,496,744,901,849,521,474,616,198,068,085,745,452,
095,247,950,007,788,760,683,175,562,801,666,602,749,492,895,518,081,888,165,
586,652,959,802,549,667,643,940,850,988,346,071,183,720,833,575,850,577,702,
376,977,410,028,608,274,485,177,288,376,102,299,844,292,746,136,413,132,072,
013,029,326,851,743,718,034,621,205,222,797,865,362,712,438,333,078,394,149,
264,161,519,248,116,090,122,531,492,596,696,137,673,430,694,335,133,680,991,
066,455,751,582,060,795,270,414,308,223,911,958,787,588,168,455,924,967,533,
247,869,615,335,255,370,648,611,601,498,664,876,052,125,596,737,861,135,906,
084,310,692,159,828,094,210,093,693,528,182,864,466,248,114,296,780,629,935,
948,466,095,575,282,697,447,548,996,503,552,073,201,875,619,936,704,478,230,
508,738,330,691,383,717,636,725,854,261,006,070,771,974,263,896,587,927,580,
582,841,136,679,555,442,569,757,339,948,106,323,422,753,775,781,729,476,681,
590,955,195,066,960,110,397,810,671,267,832,856,136,674,473,536,439,855,503,
110,160,688,927,687,573,963,508,635,239,654,046,939,756,231,062,104,453,119,
598,148,288,393,467,247,429,878,364,996,608,504,178,564,195,084,588,461,075,
915,605,549,412,153,347,306,393,668,566,958,432,658,172,728,187,748,140,189,
963,164,441,917,396,174,109,848,685,979,785,766,946,152,988,040,451,446,292,
218,604,412,488,387,599,222,433,183,723,022,647,678,028,163,806,421,920,779,
978,317,300,714,664,446,302,731,145,312,164,241,143,265,258,976,883,708,213,
306,740,626,816,860,748,391,103,407,927,947,628,728,567,993,438,570,678,723,
256,327,521,587,714,888,415,553,505,870,432,462,204,241,661,908,083,308,616,
747,233,779,111,611,013,105,345,608,330,647,804,601,761,214,449,632,475,655,
235,068,987,840,316,111,893,904,798,967,728,655,355,026,082,756,527,317,420,
862,046,991,872,708,886,970,591,217,678,790,046,757,347,398,542,272,786,155,
722,812,362,995,995,684,504,340,641,391,275,875,653,853,755,694,746,595,669,
294,954,508,463,078,156,269,931,637,850,107,918,712,147,738,098,401,293,879,
502,776,961,878,988,077,499,955,395,333,302,565,231,449,911,176,041,776,065,
608,554,237,130,497,485,695,099,827,104,944,709,025,211,751,112,703,116,169,
377,879,606,241,202,613,610,989,227,562,964,402,279,808,598,198,562,476,423,
656,800,594,448,797,188,588,618,327,668,691,308,612,671,325,566,549,727,354,
937,354,729,144,819,361,843,657,626,263,807,145,702,344,781,881,830,784,157,
002,284,759,695,800,634,084,264,619,868,584,842,212,913,462,341,031,288,333,
602,131,383,274,384,509,664,754,826,105,334,451,965,594,592,650,117,039,721,
104,165,710,810,357,908,110,046,361,172,993,359,215,084,360,142,988,239,907,
121,437,015,295,184,091,412,031,201,300,861,539,899,425,673,854,433,643,162,
590,171,736,246,326,318,695,176,167,532,230,448,423,947,509,264,705,765,363,
506,566,190,241,223,035,392,748,324,419,319,422,491,748,510,690,201,739,712,
043,014,942,679,426,783,587,632,368,728,382,237,651,536,165,498,442,839,993,
475,934,120,668,744,937,753,394,177,160,435,778,364,961,626,954,019,431,091,
058,573,109,524,312,198,803,446,111,700,626,869,982,928,869,000,271,908,910,
057,415,228,442,008,814,180,372,530,761,757,723,204,178,343,265,315,681,824,
539,410,582,930,860,380,207,991,924,187,887,192,939,977,074,507,248,594,024,
242,166,466,735,534,517,604,599,966,251,695,397,315,460,495,512,100,928,579,
864,395,782,830,744,677,134,117,140,481,850,761,910,540,408,949,601,945,890,
811,948,324,885,137,088,859,831,705,812,141,694,260,763,522,292,562,044,435,
526,457,469,704,958,253,040,951,786,204,001,506,577,464,281,441,023,933,039,
869,290,906,203,125,045,002,589,340,250,533,645,457,755,339,189,802,082,160,
767,830,516,624,414,357,147,015,409,242,807,828,800,179,975,570,752,255,359,
185,719,637,597,093,615,925,209,821,771,796,530,118,805,739,146,962,783,453,
858,564,100,086,526,412,967,603,291,336,239,317,380,672,080,900,497,527,521,
754,360,489,519,985,941,172,049,667,986,837,152,926,059,807,726,501,485,523,
728,713,291,699,171,452,814,222,576,953,791,571,224,049,795,287,460,587,991,
817,998,991,783,492,282,106,239,412,203,063,685,841,037,415,452,754,969,732,
841,632,789,996,953,139,755,840,302,190,202,761,199,616,287,695,284,752,931,
392,394,433,506,113,420,056,328,474,884,939,517,939,583,361,154,118,274,568,
811,134,329,862,952,267,828,376,376,382,008,047,469,185,896,875,127,213,417,
192,452,086,166,212,384,899,001,530,953,178,204,969,996,190,129,824,464,443,
301,327,321,775,843,260,628,701,037,533,345,955,063,587,859,959,194,360,761,
214,307,341,332,003,624,261,620,885,480,592,359,072,026,236,883,882,134,082,
968,481,290,994,588,433,001,700,774,579,356,920,871,011,663,657,992,774,411,
718,618,757,204,680,904,502,565,857,743,656,746,725,300,693,006,545,805,886,
767,711,273,129,637,359,226,764,666,632,388,743,536,739,158,966,695,724,484,
877,412,941,044,081,906,580,703,341,371,978,178,919,338,082,284,026,147,683,
518,720,310,010,057,796,517,096,583,034,086,855,338,765,662,467,651,450,614,
084,826,603,822,357,197,575,707,221,231,538,475,205,620,599,981,057,635,626,
749,504,274,551,565,894,019,620,975,513,686,363,223,763,473,229,611,916,398,
959,637,940,421,533,414,558,881,233,055,889,582,243,954,548,706,726,904,926,
110,911,463,266,370,952,110,449,968,811,850,944,086,260,487,249,025,273,441,
966,177,703,335,491,399,346,788,659,640,579,927,310,115,373,907,998,154,668,
061,076,891,175,116,233,612,640,265,057,895,462,129,242,969,068,599,282,272,
157,816,337,515,886,412,535,426,270,005,173,193,446,586,253,069,666,559,938,
777,330,484,870,288,616,389,703,585,565,564,650,563,990,961,624,802,270,542,
368,609,399,114,838,332,123,502,700,976,267,059,374,894,616,444,559,279,387,
497,321,391,664,876,546,997,400,981,841,041,935,587,934,716,449,918,577,789,
699,919,531,915,180,715,330,354,304,450,040,742,037,725,607,813,526,570,849,
020,506,741,793,786,881,141,586,568,016,844,530,165,201,148,989,235,051,824,
095,843,524,535,817,031,054,554,126,339,809,547,983,205,664,017,669,451,993,
885,503,039,071,240,699,587,743,904,461,584,213,874,256,376,656,173,459,665,
831,625,820,478,979,776,483,056,179,984,273,209,651,359,475,932,532,710,117,
225,713,561,190,294,918,348,917,759,662,133,139,610,092,822,291,749,574,510,
998,577,616,476,282,902,570,505,351,721,693,873,695,945,879,353,206,575,179,
789,729,113,834,795,564,137,056,169,309,351,443,098,664,832,523,970,351,798,
579,908,742,052,003,601,611,901,899,352,537,132,475,278,121,349,319,251,436,
783,982,998,402,966,904,665,845,395,868,034,989,792,545,344,829,268,909,549,
173,217,533,137,569,419,766,221,911,739,478,363,412,108,324,217,099,501,841,
158,452,444,933,142,704,404,687,718,962,513,428,409,441,470,006,597,983,296,
209,304,054,075,657,149,605,660,045,949,380,651,293,465,863,948,939,520,330,
408,807,923,403,052,741,823,507,674,597,582,016,974,458,437,127,562,101,730,
087,732,364,226,643,661,121,944,720,769,989,615,099,350,401,734,430,987,386,
426,434,805,851,654,961,687,494,647,294,428,271,955,249,084,543,866,751,515,
925,009,181,064,692,327,377,714,399,559,273,333,157,789,012,525,183,310,028,
709,161,392,548,182,617,752,600,016,460,342,692,644,686,335,348,248,313,925,
363,024,125,441,774,215,125,272,083,477,782,908,157,662,495,699,596,098,748,
084,791,548,198,151,569,173,771,259,817,464,297,300,000,007,565,136,882,356,
185,299,850,372,569,110,584,698,270,500,313,430,675,229,555,441,459,849,499,
021,677,211,742,678,632,276,385,886,054,910,128,062,728,766,495,696,802,304,
961,430,137,336,842,040,246,192,395,264,121,401,945,489,439,586,211,805,678,
742,727,311,884,511,924,519,632,233,016,254,582,584,797,255,303,220,692,461,
555,421,275,400,406,554,560,383,634,154,332,195,233,469,072,230,060,899,483,
899,344,548,915,002,578,539,742,427,364,773,420,068,128,997,813,315,847,663,
921,282,731,185,280,991,458,752,126,954,666,897,236,215,342,867,727,406,362,
084,112,974,816,720,095,082,542,039,054,836,583,591,492,237,988,958,137,328,
655,540,120,192,760,321,509,666,283,946,673,747,137,555,025,610,654,704,408,
334,512,750,395,063,575,080,762,704,554,904,775,203,589,881,311,191,337,473,
186,432,844,345,397,011,599,343,599,133,129,817,843,856,807,383,007,810,590,
240,850,667,201,499,972,744,102,925,421,770,148,535,522,080,766,519,950,024,
460,230,260,924,370,954,428,969,130,130,192,846,639,609,067,768,018,104,276,
977,064,841,244,947,900,432,640,735,397,147,214,471,729,266,240,021,862,491,
937,385,881,270,578,998,093,941,863,438,799,547,505,959,406,203,863,536,585,
334,748,710,265,102,928,255,464,372,371,450,805,104,402,363,157,690,101,563,
789,160,127,993,464,038,673,413,102,849,577,661,897,904,185,306,304,234,263,
665,054,441,479,673,291,827,280,101,570,152,006,563,155,923,998,048,314,948,
490,682,097,476,964,852,093,810,068,052,711,159,939,322,092,258,158,507,482,
228,596,094,681,678,634,491,162,734,061,762,535,262,316,123,875,430,818,370,
380,388,427,716,631,141,426,585,438,827,170,092,037,340,594,729,220,383,100,
857,750,845,336,850,082,758,888,247,149,099,065,572,483,563,926,629,053,523,
606,246,830,604,393,172,032,033,669,523,045,967,952,442,218,748,385,379,862,
015,756,574,498,773,994,470,529,524,374,006,102,145,418,325,238,401,287,650,
906,719,591,177,338,182,096,859,388,145,209,573,539,808,537,315,308,191,295,
387,070,792,659,728,678,304,793,859,671,065,920,979,926,320,221,400,272,197,
705,929,331,407,351,598,667,873,699,997,255,162,298,213,185,269,409,682,146,
679,354,875,872,700,316,170,662,972,276,171,545,769,822,181,693,762,065,352,
898,715,071,286,423,942,025,272,363,610,933,347,832,096,627,013,180,360,839,
378,811,360,157,188,747,792,230,468,141,082,078,816,948,916,658,389,395,727,
023,869,078,640,093,372,830,073,903,524,494,971,830,364,222,499,658,231,147,
973,016,538,893,548,824,415,139,215,132,893,461,312,111,273,963,329,028,282,
623,464,355,937,098,360,597,975,626,009,266,934,866,062,368,757,384,713,482,
890,436,066,702,270,638,236,796,549,453,761,317,980,459,520,237,646,586,414,
275,125,525,949,175,196,484,330,206,561,112,631,725,452,656,917,128,870,741,
832,837,544,083,416,731,375,312,746,066,710,409,177,137,054,720,491,408,682,
727,708,382,639,223,835,414,432,948,848,800,407,944,493,304,804,839,574,182,
699,672,493,951,537,398,116,760,529,007,616,773,192,056,556,640,543,975,462,
592,967,552,942,272,490,656,267,218,749,721,563,044,796,479,667,745,402,767,
886,645,735,146,563,701,163,106,748,569,004,940,186,503,462,825,010,124,853,
800,161,903,579,214,190,501,971,303,155,598,725,577,280,472,020,403,759,982,
479,596,534,037,998,536,768,885,025,354,706,088,347,750,724,149,108,495,447,
409,850,356,463,470,414,829,097,524,121,400,047,955,493,901,181,910,880,663,
342,121,864,788,437,455,948,949,654,388,774,325,305,443,337,466,331,880,251,
332,351,748,757,373,852,266,915,296,668,808,889,146,886,311,746,052,636,752,
191,605,599,657,413,798,498,545,048,932,621,970,531,150,016,595,707,828,139,
903,023,044,249,569,416,775,306,448,729,215,624,926,412,574,490,388,937,998,
531,282,876,020,846,963,625,172,395,192,961,967,402,594,190,758,137,590,076,
199,202,276,032,149,127,104,625,284,698,064,552,752,734,267,342,945,195,303,
451,056,958,347,171,003,448,881,080,791,309,047,346,941,539,630,845,258,999,
997,531,125,134,609,953,960,119,444,938,432,556,320,354,838,932,908,378,434,
346,614,140,105,918,874,757,800,503,070,933,207,490,429,872,210,487,600,732,
259,042,087,385,095,282,991,418,062,419,877,759,673,123,929,324,708,585,165,
678,681,351,003,058,132,928,887,215,356,657,454,779,083,435,787,826,756,475,
018,585,062,684,409,623,508,547,010,328,334,039,834,432,723,717,362,208,732,
617,075,571,787,971,387,609,725,091,290,294,613,406,144,134,778,277,011,734,
884,202,975,450,952,956,258,175,031,856,995,146,555,040,019,129,067,663,556,
836,219,425,728,754,121,351,232,630,755,220,467,365,784,966,769,310,759,871,
646,752,971,592,936,272,879,299,730,560,783,759,350,844,903,658,783,735,054,
842,382,221,828,888,432,248,414,333,062,527,803,998,676,201,128,326,578,378,
183,734,671,633,601,861,249,836,496,763,862,323,924,824,796,784,919,225,341,
632,167,867,911,449,349,023,497,873,180,762,354,167,437,364,491,239,906,877,
861,583,305,377,795,454,427,740,341,726,043,832,586,339,936,956,351,957,562,
269,572,205,516,134,617,223,907,078,542,390,329,938,040,051,853,882,229,082,
840,998,763,978,393,661,876,316,523,267,520,871,306,553,703,025,567,595,662,
910,351,547,655,832,759,415,972,739,843,102,510,361,658,515,336,013,335,655,
364,410,618,821,655,569,538,148,726,983,597,876,169,212,381,813,404,850,720,
717,015,357,052,049,623,895,172,175,087,847,304,893,170,013,300,625,949,212,
408,062,605,456,439,346,986,056,740,104,143,900,400,793,012,706,986,902,870,
635,885,203,086,099,406,850,082,142,975,343,336,335,615,747,477,364,623,972,
041,298,706,681,704,283,407,850,111,414,022,152,689,844,524,436,777,866,278,
031,366,568,193,600,201,357,707,310,234,222,266,527,339,264,689,176,178,850,
877,259,729,038,866,770,638,105,685,901,025,093,936,654,423,925,294,491,350,
966,108,148,148,903,092,726,559,414,548,804,325,177,032,994,844,396,559,345,
584,134,500,066,627,025,784,365,407,233,595,684,669,881,733,450,449,273,019,
392,898,095,615,245,802,061,052,500,501,629,520,999,849,033,424,072,549,981,
506,187,347,276,339,691,753,108,402,110,877,707,825,672,717,917,840,385,063,
254,799,695,174,902,211,162,972,587,043,558,997,911,347,045,888,509,110,839,
709,840,495,804,207,681,168,521,169,208,056,604,602,799,925,481,408,768,667,
757,144,497,835,974,994,209,582,830,590,076,091,532,849,097,260,107,157,315,
311,108,313,185,482,656,676,413,139,465,649,833,667,192,294,761,644,191,122,
857,012,694,273,953,527,007,334,065,275,824,246,127,081,384,228,671,556,989,
324,161,089,577,844,291,401,330,200,781,606,335,393,153,886,511,932,286,536,
954,160,429,342,770,955,097,747,461,293,854,224,790,174,699,616,669,988,057,
221,249,957,024,457,704,133,150,880,188,834,547,815,603,016,445,249,502,105,
008,240,799,377,884,074,545,107,822,115,164,468,636,297,282,843,264,854,710,
800,075,255,166,596,056,972,571,464,455,464,210,646,379,591,684,610,086,297,
629,272,240,959,629,367,779,939,041,566,422,554,735,290,506,373,291,151,795,
819,125,760,594,656,338,637,469,986,149,364,772,911,682,812,812,995,205,479,
264,800,701,912,395,356,321,056,105,240,155,147,093,084,424,306,442,348,531,
760,276,877,716,914,861,670,503,079,617,526,823,556,876,900,422,974,880,048,
834,091,109,705,866,212,616,407,307,340,580,815,618,118,813,665,698,834,505,
627,221,428,290,875,804,478,258,754,288,069,292,387,332,555,422,390,601,268,
102,790,227,992,974,327,594,580,442,450,863,675,970,568,887,456,869,442,678,
115,209,546,341,920,174,703,281,504,975,489,378,606,361,123,284,598,669,933,
590,666,009,734,060,536,441,700,683,681,160,291,508,699,127,492,486,592,529,
179,484,050,502,192,612,078,785,683,397,110,664,356,851,439,883,066,377,307,
149,626,714,968,994,706,511,832,227,948,780,168,428,915,501,372,721,950,891,
544,463,838,516,060,756,530,818,890,940,914,211,910,098,646,215,929,414,330,
037,041,118,789,499,569,922,418,788,173,734,967,665,049,908,245,952,192,032,
253,564,098,767,197,227,674,245,803,092,375,426,786,510,119,582,279,474,340,
185,858,381,010,075,493,335,941,029,493,136,090,807,690,672,165,564,787,177,
069,927,101,485,736,528,191,595,078,655,490,382,126,319,319,348,702,569,392,
667,413,800,734,836,490,545,614,852,322,279,729,318,388,260,950,986,196,989,
639,129,549,696,015,267,984,969,525,290,320,190,303,899,357,581,282,053,287,
110,351,334,531,918,174,323,551,817,910,529,861,641,541,333,248,463,712,015,
523,690,472,704,381,272,603,109,157,453,828,913,192,577,543,295,229,196,442,
773,403,495,968,466,763,390,295,798,484,659,718,769,841,725,720,567,555,741,
066,855,563,028,621,534,651,152,960,422,933,977,292,113,485,673,261,251,915,
680,812,055,797,686,607,843,772,470,280,087,270,797,155,013,237,111,375,226,
829,358,451,038,990,728,678,317,376,781,218,555,727,958,376,487,341,830,311,
089,082,132,234,461,633,526,627,816,163,665,635,689,275,860,736,018,462,311,
219,879,357,888,208,349,112,428,614,547,373,668,168,291,775,132,629,496,293,
836,352,436,397,433,100,060,244,448,162,727,167,659,540,483,536,225,538,371,
098,752,299,930,186,560,736,295,191,351,116,014,297,449,008,715,611,083,885,
710,306,646,941,972,012,295,131,696,257,046,917,577,998,279,666,036,128,981,
153,098,165,946,151,697,350,980,006,535,734,657,362,932,960,422,277,574,425,
560,475,697,618,174,906,173,985,900,570,101,855,315,527,153,265,197,263,759,
466,382,289,756,817,347,002,157,765,776,308,101,068,364,115,630,343,080,750,
328,379,066,580,964,716,569,433,146,669,544,113,123,485,536,876,097,848,625,
515,072,545,542,416,270,774,822,681,941,381,554,429,755,325,146,903,328,311,
668,347,356,948,838,284,874,676,785,968,328,671,160,833,691,884,444,635,223,
355,937,071,616,509,119,400,265,681,787,267,789,072,535,205,506,706,116,817,
503,058,869,586,061,175,399,890,135,592,414,111,678,144,432,447,909,723,155,
417,342,674,295,837,424,450,852,605,742,210,017,090,591,794,788,552,611,720,
570,562,274,957,166,782,735,522,485,382,331,068,764,185,486,014,669,897,316,
039,929,907,681,364,582,600,500,393,548,557,805,627,211,439,547,972,433,788,
947,921,984,378,139,659,662,435,617,672,068,866,373,790,684,323,226,442,061,
832,694,332,993,856,323,550,211,802,934,514,194,516,776,358,488,915,203,698,
436,275,366,228,546,476,805,442,387,606,179,210,497,976,919,421,149,686,244,
654,792,179,434,918,617,299,392,227,841,183,706,023,037,579,410,855,303,296,
628,029,276,677,606,245,141,715,834,884,607,826,601,969,107,570,320,806,771,
153,528,595,579,838,882,413,203,333,246,166,969,265,528,839,874,229,398,423,
725,124,588,364,529,532,070,581,429,716,862,646,844,673,786,725,939,530,167,
627,018,467,584,841,054,393,611,505,994,523,238,191,329,569,361,350,745,493,
971,279,621,850,079,782,492,224,826,065,328,873,310,991,786,253,099,154,807,
652,876,747,638,790,596,341,081,197,527,202,011,250,712,498,087,002,873,490,
066,173,782,156,956,813,298,935,956,810,255,252,920,588,154,505,077,193,384,
656,012,850,987,540,628,801,769,564,635,562,578,140,406,245,377,655,336,207,
698,787,847,067,185,451,861,356,521,824,135,033,482,180,716,502,871,434,012,
806,052,193,384,306,857,905,533,570,910,171,798,066,276,573,423,221,278,887,
295,020,307,934,394,747,034,537,058,714,956,396,333,959,653,733,358,268,389,
296,346,671,728,797,503,905,894,409,641,593,327,236,195,321,250,806,371,767,
229,873,214,728,074,042,969,857,513,188,461,612,505,644,516,308,336,282,453,
967,750,167,323,089,269,586,981,459,030,797,623,798,338,866,409,350,757,954,
905,652,051,342,740,026,036,248,042,417,775,975,947,650,088,571,034,738,092,
117,215,061,636,176,094,725,607,095,822,084,751,005,388,938,820,533,337,013,
738,050,896,722,575,688,503,721,673,602,305,900,986,762,845,279,856,997,922,
199,934,496,477,600,730,627,414,452,352,021,286,562,179,769,162,143,573,365,
993,597,241,201,540,330,127,993,227,462,476,436,008,119,446,598,744,666,227,
619,211,414,337,831,211,812,320,789,993,928,208,799,785,995,239,537,460,902,
601,780,357,619,089,131,737,538,909,350,398,497,735,509,863,306,802,899,050,
387,996,226,725,584,447,919,159,853,473,658,890,200,408,744,155,705,987,983,
513,008,551,674,004,269,939,524,331,104,290,345,241,281,811,795,048,415,030,
152,169,963,932,913,804,819,724,229,715,892,762,929,560,075,758,762,940,913,
642,418,883,820,035,762,705,604,581,983,876,023,356,543,983,904,544,751,873,
654,209,266,935,931,335,817,946,319,477,717,276,842,171,062,877,240,512,913,
760,625,685,331,992,646,003,669,717,781,922,060,735,353,927,318,645,016,317,
108,677,398,868,253,792,981,933,073,023,551,200,073,472,241,680,710,799,981,
919,965,943,149,982,750,654,683,980,596,050,698,329,325,555,868,191,587,936,
553,739,428,671,904,290,324,740,013,172,460,011,533,260,944,358,082,914,663,
234,353,522,626,963,187,570,812,421,042,871,848,162,376,569,006,140,537,038,
829,459,511,871,730,950,165,945,828,148,937,152,559,191,610,471,966,175,910,
080,357,910,298,994,264,609,236,872,539,049,211,738,760,720,345,014,404,827,
972,476,377,766,747,876,727,239,528,743,696,647,959,098,499,830,105,564,525,
305,496,040,620,878,395,354,462,971,065,707,853,209,520,490,553,369,952,715,
983,477,396,764,373,046,602,798,588,795,720,211,993,321,406,775,391,919,060,
309,768,536,373,753,755,952,000,829,320,368,243,297,008,691,830,606,625,697,
963,630,047,264,372,571,565,573,480,427,777,087,889,085,926,520,122,194,692,
346,618,327,248,640,144,786,523,060,994,501,050,690,177,528,169,435,907,181,
645,544,994,338,638,398,990,733,836,086,519,810,403,957,335,209,822,669,304,
311,337,713,296,561,616,258,441,178,512,304,323,691,159,117,681,079,553,785,
921,795,155,956,989,371,315,190,931,047,585,071,170,569,016,546,849,738,265,
910,574,164,103,604,371,808,574,188,100,774,776,786,150,713,464,795,147,855,
437,896,204,117,148,833,014,551,514,714,975,517,766,395,275,602,020,893,159,
271,647,637,783,893,013,865,898,342,289,291,797,651,434,436,652,009,243,806,
555,645,339,116,441,741,528,787,762,561,263,230,525,384,301,214,133,971,152,
008,952,314,440,550,744,735,390,270,191,526,906,694,573,756,592,380,928,556,
900,901,415,551,518,383,708,429,933,954,343,276,400,041,443,771,844,154,821,
059,720,969,326,438,948,917,303,424,669,262,564,168,761,403,600,201,025,064,
903,423,723,869,596,744,673,492,414,729,477,243,592,271,982,746,834,876,534,
941,915,514,075,653,208,362,666,983,153,115,245,353,346,099,079,477,991,579,
043,736,980,771,688,322,579,067,083,697,331,611,762,615,384,240,875,664,335,
041,175,117,154,850,669,728,323,572,567,948,678,961,491,314,418,176,204,243,
767,847,800,468,230,357,135,303,808,685,032,091,417,917,606,648,315,047,545,
685,215,544,387,756,370,256,202,203,092,228,511,022,179,243,327,145,545,809,
576,916,930,866,200,353,216,371,365,846,409,493,978,015,873,575,670,458,542,
328,412,133,650,056,502,923,606,147,808,215,890,243,739,185,155,451,108,921,
625,284,938,575,891,551,668,096,783,514,372,397,533,503,310,540,480,841,197,
901,663,152,308,644,578,217,443,821,761,803,588,633,799,689,620,367,044,578,
043,507,037,136,353,088,658,840,234,531,711,830,957,167,662,839,001,374,348,
290,837,213,408,294,904,499,706,239,221,032,721,006,829,798,373,546,955,028,
504,024,156,371,998,715,967,685,395,332,147,405,264,100,491,447,320,151,510,
883,615,929,692,036,568,748,970,270,996,549,774,837,169,180,269,548,348,464,
562,226,193,306,634,220,490,748,573,047,437,669,844,541,143,583,824,443,019,
083,616,023,730,143,088,687,902,459,733,653,205,404,695,379,123,172,580,562,
372,626,181,112,692,520,315,121,517,722,404,200,938,356,884,792,017,565,895,
937,889,895,749,063,912,455,146,229,613,590,443,090,662,420,951,428,367,164,
949,336,447,503,433,551,550,900,970,616,990,886,985,970,367,810,864,411,709,
603,788,381,233,741,962,690,268,075,658,107,631,530,913,574,472,054,301,966,
733,525,994,444,536,769,161,163,957,775,705,736,953,687,130,607,978,908,889,
783,165,514,365,532,028,278,749,679,508,404,613,574,786,314,920,350,330,940,
449,056,342,259,530,005,255,083,865,476,436,123,326,578,732,712,137,098,719,
184,781,634,618,510,516,853,930,453,534,542,204,763,102,089,734,476,146,978,
331,663,838,102,811,798,223,136,546,927,057,542,254,397,103,649,985,166,435,
964,099,298,988,813,128,751,640,621,941,541,445,915,280,122,291,030,004,557,
486,187,703,140,656,441,508,806,821,230,645,211,476,179,047,641,913,552,807,
379,780,838,971,242,009,186,285,683,670,878,915,857,467,299,027,414,871,065,
573,442,590,133,039,728,895,089,899,087,455,752,279,946,891,114,056,977,335,
127,153,715,088,846,597,783,896,291,339,620,776,115,149,772,814,619,636,803,
378,453,062,125,008,475,467,507,055,552,850,489,194,758,045,623,516,121,002,
194,149,870,168,454,358,034,708,845,696,661,933,359,920,248,532,624,094,239,
396,528,596,683,873,486,164,129,720,454,699,445,552,160,240,083,408,830,394,
252,193,320,506,398,298,410,672,493,850,157,938,658,510,581,792,417,742,547,
862,908,910,710,451,309,588,677,621,570,986,070,392,584,484,535,398,011,222,
324,785,712,176,405,685,468,124,426,372,146,387,254,332,507,665,742,390,024,
642,190,300,391,174,681,875,737,113,018,896,370,703,240,525,772,359,729,986,
294,512,614,044,479,939,980,201,800,366,887,572,798,061,516,890,882,484,969,
418,149,345,034,197,399,530,925,701,926,376,163,754,054,497,630,292,834,305,
997,464,536,377,763,752,327,824,812,362,723,856,289,746,218,455,161,153,344,
803,301,998,658,401,190,877,551,394,215,161,738,883,329,914,493,504,452,391,
319,956,202,762,790,926,911,336,954,692,315,369,929,943,276,154,477,798,840,
930,847,744,811,449,675,542,277,063,647,928,638,621,982,383,194,694,604,593,
887,439,180,278,288,154,084,303,091,684,145,807,311,433,739,533,058,666,349,
979,426,627,877,734,504,688,345,574,694,851,744,325,152,656,826,540,252,439,
272,679,671,460,207,318,882,608,249,931,840,471,344,658,880,324,472,966,980,
076,726,134,524,011,107,972,088,656,734,814,588,231,855,314,234,347,205,414,
482,277,830,619,241,355,817,668,196,474,341,581,521,963,681,266,243,195,793,
038,740,284,576,294,468,483,877,769,461,791,243,468,141,303,249,430,845,582,
471,934,909,117,724,934,072,081,101,412,797,882,696,176,979,545,236,291,642,
781,490,250,477,205,542,448,242,058,737,036,280,745,428,734,258,761,903,559,
975,509,920,084,580,134,487,918,141,379,876,691,041,327,409,671,346,929,948,
239,910,445,842,033,763,124,748,686,967,067,708,195,650,848,089,232,919,447,
066,706,329,452,647,222,009,783,261,277,682,786,885,072,205,411,595,833,682,
552,044,242,268,938,063,943,011,795,569,008,417,556,317,341,805,456,675,939,
808,663,330,925,984,817,708,221,563,410,289,094,940,084,321,628,326,029,974,
413,606,265,964,659,591,361,815,750,589,500,459,874,045,514,541,409,291,681,
905,349,617,348,906,716,380,842,645,673,114,360,128,905,612,495,315,644,011,
855,489,830,728,100,749,675,689,464,201,773,701,524,326,636,982,792,598,613,
241,127,751,947,205,633,488,837,090,390,535,566,291,117,266,286,800,860,037,
793,827,495,290,939,728,428,620,418,613,282,478,435,936,767,782,632,329,751,
691,149,987,493,950,942,742,783,976,939,803,784,304,982,814,649,247,887,647,
934,443,159,092,092,751,294,267,603,830,846,321,258,889,907,233,269,671,912,
819,321,154,604,351,650,935,270,235,277,760,555,312,762,796,863,414,424,048,
149,346,229,533,362,669,995,544,287,799,220,799,384,556,457,627,701,791,728,
073,471,527,301,716,130,032,328,245,441,677,816,398,754,889,435,399,680,638,
586,665,348,532,105,541,857,329,229,491,871,364,898,577,872,626,038,236,280,
752,003,738,008,656,323,624,821,298,428,839,785,233,650,243,232,863,021,649,
355,609,904,997,031,229,301,489,917,337,464,759,125,252,621,622,448,233,400,
423,110,668,877,548,047,322,307,600,442,369,644,289,416,702,199,210,512,932,
736,530,743,187,646,190,725,782,755,524,345,005,400,919,997,257,114,712,569,
814,887,684,433,842,444,327,940,928,954,938,531,295,200,103,081,486,055,960,
331,868,478,938,254,801,230,723,631,889,813,413,753,558,880,259,680,088,734,
514,701,338,971,790,224,102,532,522,496,774,396,159,521,342,111,993,596,939,
428,978,583,438,315,927,736,411,588,200,413,793,063,650,836,918,888,509,193,
661,413,168,702,601,811,065,441,026,307,327,862,514,467,359,835,759,607,093,
711,586,281,660,211,059,193,491,922,267,699,659,723,195,887,804,601,786,252,
294,517,736,497,549,039,773,152,587,468,680,079,642,084,892,119,695,234,373,
013,824,287,086,712,618,723,339,882,016,547,736,959,203,230,124,908,466,123,
971,501,743,578,187,465,968,744,366,706,391,488,358,899,926,025,240,526,107,
702,698,066,992,896,576,977,207,304,426,672,241,831,257,719,318,679,315,845,
475,300,136,505,381,024,333,918,519,883,878,468,506,757,356,626,107,426,671,
663,664,361,873,223,921,667,734,824,170,186,727,859,564,955,782,792,755,029,
773,950,309,327,086,051,753,735,399,662,580,328,259,616,653,101,010,499,694,
609,075,853,142,284,509,753,389,589,901,321,040,630,963,482,518,043,828,966,
569,324,644,735,533,590,273,599,386,456,143,680,629,107,901,832,253,428,794,
106,385,695,825,465,000,801,403,872,354,953,427,655,095,212,599,362,760,729,
911,530,379,226,640,362,679,333,748,194,750,852,637,421,341,168,358,958,338,
541,132,835,467,295,004,159,512,467,770,057,055,413,987,634,516,110,699,516,
222,517,421,095,979,627,947,027,022,597,426,331,332,866,765,626,074,424,406,
467,545,892,965,252,496,345,472,722,526,488,783,215,548,942,267,266,272,069,
586,173,035,667,650,782,450,876,273,080,212,321,790,802,181,792,876,988,961,
228,770,599,803,870,446,823,616,091,914,279,387,780,821,308,870,814,410,925,
565,516,179,274,662,114,918,132,588,644,127,322,311,541,521,455,917,792,785,
430,915,357,496,767,093,810,968,982,148,405,504,213,478,686,156,421,494,699,
190,881,018,639,335,601,933,797,313,415,222,014,983,049,776,774,720,007,991,
626,451,040,013,925,736,649,233,258,191,642,525,181,896,202,010,843,574,893,
796,167,327,817,270,718,049,231,278,496,798,846,552,050,278,396,162,224,117,
835,707,243,773,589,589,925,534,550,723,835,335,766,742,722,083,708,606,433,
796,332,935,144,426,764,279,830,594,647,265,873,560,444,727,652,680,239,780,
023,531,077,834,342,916,937,910,065,154,833,744,956,725,792,537,204,950,932,
271,400,970,865,688,656,946,828,585,642,692,285,231,230,946,772,662,162,190,
360,875,123,818,340,492,100,487,748,400,126,248,114,384,467,480,333,826,165,
444,409,211,801,410,427,476,831,965,301,500,314,845,500,781,615,925,348,964,
807,435,772,417,322,246,439,148,445,494,573,380,023,885,396,532,111,996,792,
680,806,985,463,824,366,570,821,589,291,488,067,398,130,810,371,405,613,274,
568,601,692,208,765,042,376,545,393,418,998,089,788,072,906,671,440,812,724,
040,441,037,021,660,155,153,346,502,539,036,015,513,077,354,109,260,304,825,
293,949,044,943,668,829,161,959,206,802,572,990,647,404,055,852,946,169,765,
127,047,721,472,807,376,224,636,423,447,048,052,887,957,009,267,366,432,709,
281,003,861,157,156,554,890,475,482,871,205,061,004,223,394,566,413,028,784,
509,301,597,815,338,306,859,050,751,007,970,545,711,146,074,789,770,927,600,
449,692,388,893,443,016,607,943,672,830,953,054,831,365,875,367,502,912,320,
028,354,971,492,110,776,445,570,729,113,588,560,942,210,651,101,883,535,767,
391,442,385,687,625,553,735,302,361,423,291,733,495,271,406,715,625,377,466,
274,280,534,014,492,740,793,711,168,880,267,105,784,412,001,759,098,055,536,
749,233,915,424,272,081,857,593,693,236,849,956,197,162,318,805,527,989,556,
574,158,292,158,259,149,035,736,937,504,988,009,877,078,801,607,686,522,216,
818,997,936,902,764,907,878,741,444,468,404,229,492,238,745,529,018,839,886,
291,377,005,633,634,180,907,203,385,441,996,774,318,718,116,069,527,122,198,
801,308,433,561,943,819,005,533,424,508,126,552,423,389,412,629,774,760,399,
753,046,844,060,921,457,723,268,934,962,233,279,439,770,790,773,716,309,203,
151,417,917,298,257,229,649,182,847,864,271,416,198,598,331,694,710,107,497,
479,172,271,281,085,516,063,299,686,634,329,792,144,789,029,077,331,876,100,
983,894,124,486,748,373,200,706,355,317,550,361,247,066,910,630,227,471,331,
486,601,084,453,559,637,540,395,720,954,066,820,934,253,789,674,262,063,453,
161,726,066,428,621,310,965,208,192,072,438,971,474,681,890,637,296,431,586,
897,893,086,152,709,262,773,803,949,803,036,055,371,590,188,340,593,936,028,
931,637,863,886,587,578,510,538,782,466,009,196,354,632,407,936,461,158,353,
588,238,641,163,080,043,773,010,285,660,451,460,284,019,170,037,286,534,476,
276,722,737,058,667,145,134,611,737,003,811,496,791,199,686,176,102,999,441,
481,244,553,075,761,089,879,112,895,104,358,980,073,141,329,451,186,152,517,
530,709,488,450,758,054,713,746,503,224,358,917,555,044,878,511,346,732,379,
347,970,544,702,906,109,736,459,316,072,268,928,966,722,099,023,889,963,270,
866,659,907,645,008,362,631,179,320,728,028,630,605,173,450,186,491,494,294,
753,251,328,372,073,921,341,204,394,063,884,316,294,133,937,700,394,675,720,
154,258,604,152,186,799,741,036,991,666,912,193,595,401,386,596,504,999,736,
797,597,467,469,563,665,863,932,931,470,961,270,399,405,494,103,879,963,340,
031,938,738,506,456,703,109,132,182,715,681,688,934,057,490,039,084,911,463,
658,701,774,351,432,030,431,359,635,716,863,130,162,855,438,056,745,934,512,
102,369,135,497,923,143,580,818,613,537,653,815,904,723,314,151,619,502,736,
774,527,943,270,485,064,251,402,187,529,455,888,779,045,570,421,633,609,128,
062,693,043,697,241,684,723,018,383,616,388,341,974,459,625,670,984,365,926,
094,536,889,597,209,515,694,343,373,484,807,527,173,483,686,378,268,021,578,
616,722,420,351,075,177,304,770,500,096,166,296,781,756,225,154,259,433,775,
363,420,158,178,605,784,876,730,008,465,628,903,931,063,229,922,522,013,704,
921,093,910,837,212,842,556,803,767,832,475,213,171,397,552,528,258,850,106,
582,860,204,673,863,582,002,254,089,235,867,572,747,015,927,093,263,369,060,
625,617,923,885,098,515,499,880,048,663,260,137,611,112,890,459,452,319,508,
543,785,833,324,992,729,364,780,883,101,541,400,030,703,637,716,394,072,319,
272,508,641,123,765,740,521,441,714,781,305,837,887,161,367,943,533,551,847,
278,096,510,900,369,312,832,642,662,668,173,311,481,040,142,308,812,936,246,
149,515,540,731,573,109,386,614,489,050,706,977,818,456,543,263,518,295,638,
665,454,360,660,183,732,223,394,556,562,423,723,501,395,475,674,943,923,229,
869,582,629,134,852,001,143,733,260,620,848,975,016,590,458,266,709,060,328,
489,205,807,432,510,234,074,844,338,408,540,279,225,315,516,592,916,971,451,
672,856,680,397,014,090,373,271,596,569,828,612,500,889,659,892,713,719,244,
871,352,452,987,451,787,422,926,055,200,318,590,617,517,419,413,982,029,440,
026,265,623,108,658,363,624,953,928,275,478,208,068,595,343,957,451,027,683,
991,661,378,878,401,358,209,899,881,953,074,628,997,361,966,966,174,477,650,
457,540,644,651,685,404,616,596,776,784,018,424,305,211,169,952,975,036,522,
086,325,489,998,136,651,967,950,319,685,939,564,074,923,776,020,524,451,018,
727,646,535,419,735,958,089,750,303,716,657,240,342,083,533,654,216,929,410,
468,602,797,237,286,224,047,462,987,242,404,751,853,235,616,322,830,439,807,
969,495,902,226,482,687,113,411,990,807,405,320,135,546,580,983,308,401,591,
002,873,700,467,089,737,307,576,922,551,345,872,217,667,615,027,459,823,560,
268,918,544,498,084,458,651,100,735,596,614,745,919,030,662,281,646,098,928,
115,172,151,954,912,801,404,878,657,089,032,330,024,677,850,324,584,613,762,
504,465,904,424,437,410,934,438,524,437,745,598,565,164,691,897,656,659,506,
899,268,312,412,021,965,241,020,501,588,716,917,359,244,953,457,068,471,138,
193,702,095,536,978,132,723,868,990,144,957,733,282,954,593,274,864,607,562,
882,897,955,899,366,900,336,044,586,789,097,499,927,490,207,883,935,701,938,
139,512,280,518,509,374,024,857,201,220,819,417,178,756,018,653,963,361,303,
542,605,183,201,303,493,947,345,685,250,237,726,501,589,411,105,770,520,095,
164,245,438,510,797,943,389,182,185,029,539,077,625,865,459,053,512,190,525,
795,643,868,018,583,524,852,334,427,796,479,398,266,215,920,651,966,233,376,
767,156,031,725,973,111,360,150,375,056,546,239,135,181,176,379,371,213,826,
875,748,810,692,185,473,732,707,334,566,348,615,236,985,098,422,958,776,752,
550,886,257,832,333,677,931,277,590,282,886,392,379,995,188,177,788,570,055,
732,583,588,873,785,821,255,265,714,226,240,896,551,978,028,102,817,340,587,
280,612,665,453,704,629,498,754,686,472,253,201,594,855,998,261,886,244,350,
803,068,589,326,414,331,694,529,122,377,950,791,339,969,088,224,582,374,312,
388,217,864,143,816,026,663,703,399,453,937,453,378,854,670,174,023,926,912,
457,103,368,270,095,876,741,384,961,001,147,117,128,862,895,677,923,395,495,
559,870,899,555,857,578,775,464,048,107,947,925,596,007,716,816,207,731,971,
529,076,174,715,835,156,458,259,731,484,171,963,905,341,466,023,650,331,162,
221,536,267,358,818,216,936,198,931,505,092,958,329,356,808,796,758,322,123,
973,480,755,932,975,739,084,966,543,964,582,566,682,056,360,941,843,399,338,
912,216,006,851,830,941,036,590,502,604,908,293,499,686,311,942,638,602,857,
189,360,205,172,310,310,017,947,031,682,684,019,019,544,774,747,664,923,837,
841,736,383,875,911,586,486,409,993,408,223,033,888,334,535,603,089,039,878,
460,863,284,854,213,581,641,685,431,984,191,714,114,163,838,604,427,182,350,
450,724,896,850,235,052,491,104,451,171,887,929,833,030,937,265,997,923,264,
650,350,191,899,148,225,215,626,339,725,109,521,846,223,609,936,569,235,910,
129,349,893,220,505,751,764,428,924,110,609,329,886,342,776,557,388,937,775,
591,946,061,001,687,255,735,363,611,387,150,478,288,631,529,777,174,823,208,
156,453,123,977,382,519,944,202,389,371,180,050,167,659,828,737,650,294,696,
404,404,260,342,145,504,660,637,292,288,313,856,740,323,422,170,049,161,366,
053,737,595,803,984,786,075,958,714,827,961,891,930,457,772,922,071,786,994,
442,444,308,165,839,096,824,268,880,691,378,664,151,997,249,955,413,857,642,
461,532,149,978,502,027,243,154,110,607,520,781,122,839,292,106,501,094,920,
506,298,931,681,769,505,571,269,853,168,689,249,532,096,577,860,795,022,820,
075,299,855,244,915,288,195,598,406,479,691,080,820,946,888,022,948,062,186,
180,648,501,402,076,627,848,517,188,737,681,540,913,144,071,148,789,781,786,
548,853,970,996,391,560,096,040,554,369,658,541,164,812,607,097,181,930,864,
387,828,386,208,372,678,020,341,159,253,706,897,942,857,651,900,335,676,914,
433,412,493,736,834,368,615,868,624,176,664,768,723,386,228,515,185,064,782,
114,436,788,949,296,687,973,665,770,954,143,282,571,586,616,595,710,473,617,
247,527,314,255,827,486,148,244,260,889,939,012,597,923,263,133,268,144,394,
024,967,790,839,479,835,134,748,339,211,082,574,660,028,996,499,226,835,573,
489,337,516,253,587,518,235,400,407,081,987,005,835,602,853,760,696,964,070,
506,177,326,463,473,161,723,254,570,583,424,309,573,910,193,082,008,615,958,
599,629,027,439,564,587,559,277,839,455,626,354,056,177,840,589,593,412,574,
303,855,741,413,588,180,823,616,521,100,282,765,741,663,082,653,084,971,677,
216,276,516,904,166,935,112,687,878,976,182,823,614,719,634,875,124,188,870,
411,964,710,811,159,873,606,148,124,449,257,108,482,814,077,854,335,395,229,
621,639,671,074,304,067,258,276,230,724,520,891,552,208,561,040,623,122,948,
157,287,425,343,297,328,048,343,863,985,757,929,259,881,981,541,477,422,956,
695,116,948,278,084,586,659,645,184,338,754,092,106,559,094,700,171,968,769,
484,324,959,700,369,126,528,843,144,874,972,386,110,404,743,244,726,036,890,
399,992,498,708,927,669,417,343,628,459,132,647,604,132,020,232,446,351,436,
935,173,258,361,443,587,304,012,212,224,966,167,994,640,862,871,365,489,933,
413,476,112,493,793,043,153,667,854,593,428,108,700,090,224,298,915,913,522,
531,767,342,516,419,439,262,003,402,240,952,115,955,410,332,980,523,784,350,
015,171,129,556,318,993,258,612,874,700,154,789,357,986,028,501,288,638,180,
706,523,807,826,727,823,194,607,301,345,634,061,432,551,819,578,314,464,002,
520,492,740,971,139,731,037,405,472,032,286,810,658,259,576,453,625,703,632,
391,558,930,655,217,374,402,715,423,714,021,924,284,150,198,845,752,093,712,
298,216,155,909,792,956,013,584,982,278,502,171,903,012,611,910,353,444,846,
767,226,808,151,689,482,989,855,327,315,475,871,433,635,938,999,034,930,029,
093,860,533,001,446,287,052,130,966,615,752,398,375,796,555,442,653,131,117,
946,534,380,685,235,311,984,634,700,676,128,582,916,404,910,946,416,460,427,
687,419,709,640,834,051,009,917,206,228,821,784,217,286,455,060,312,874,302,
837,072,548,261,540,527,903,226,194,127,165,704,282,781,910,943,674,142,543,
522,180,961,246,155,983,098,323,662,845,163,272,938,304,880,889,193,465,034,
347,387,504,718,620,285,316,477,231,419,467,192,332,098,769,541,611,681,815,
126,082,579,334,263,459,513,034,546,341,206,322,262,185,476,796,439,558,744,
889,343,704,278,338,959,743,693,574,173,792,572,642,594,597,966,713,940,683,
669,006,932,040,699,385,684,855,419,613,314,759,789,286,258,704,858,596,303,
174,504,665,438,879,613,039,378,558,250,189,068,281,243,035,404,372,533,171,
922,398,042,668,862,025,491,959,321,133,436,156,281,642,252,046,322,812,273,
733,085,615,191,802,180,483,572,026,992,817,229,410,901,522,709,332,916,510,
009,890,194,459,769,693,240,955,133,671,165,118,491,270,368,093,845,152,453,
381,054,098,302,707,151,868,846,073,848,166,452,772,266,059,730,949,493,758,
047,089,436,002,586,369,563,122,684,355,552,592,699,681,531,868,145,641,818,
805,362,464,423,094,116,151,061,907,060,186,427,101,163,499,579,861,983,346,
076,126,881,943,026,509,377,965,099,318,733,717,307,556,391,809,455,960,200,
152,252,833,539,408,998,013,559,470,329,115,785,060,629,664,054,258,150,529,
441,390,465,870,467,792,506,314,104,006,002,604,188,642,548,092,098,415,433,
409,211,313,029,091,473,371,785,876,894,098,358,667,691,822,969,163,354,502,
400,146,742,376,512,082,896,439,285,444,040,040,856,243,129,060,033,686,469,
383,928,758,697,170,782,927,103,032,154,625,849,145,734,440,468,396,448,838,
077,911,554,987,384,144,688,494,046,926,013,642,675,298,248,291,976,239,401,
655,653,437,050,408,958,714,649,914,338,968,363,899,715,207,070,596,178,801,
036,727,001,521,991,041,477,593,966,179,731,772,224,796,004,572,694,372,995,
045,076,933,380,950,953,231,597,048,133,805,958,987,178,371,137,145,589,562,
297,496,480,603,604,257,826,991,802,678,317,711,865,949,312,656,590,092,137,
097,985,663,557,625,292,904,660,663,819,237,642,104,538,487,468,724,210,509,
706,237,908,144,461,054,693,422,902,922,770,780,854,001,610,620,557,141,113,
962,572,665,686,449,144,559,438,829,778,133,055,250,751,372,229,308,201,165,
451,088,600,721,164,051,023,871,017,471,956,699,306,714,670,609,432,352,293,
048,200,256,952,539,742,851,946,140,173,042,736,388,839,992,524,474,277,020,
452,303,151,310,312,611,429,807,831,375,073,722,101,396,155,476,599,307,556,
704,738,199,121,189,950,341,786,970,087,419,974,106,292,056,788,914,122,395,
651,604,870,622,108,445,597,349,314,317,976,655,503,779,149,269,873,052,871,
140,725,674,562,171,251,663,372,360,457,092,666,395,180,677,390,995,116,675,
856,865,453,416,447,178,996,915,904,294,757,811,828,423,838,646,142,873,188,
104,374,443,991,683,267,230,154,496,501,762,045,752,954,125,636,665,372,086,
987,613,614,255,060,241,994,895,073,733,388,527,559,174,910,873,698,010,717,
435,899,342,503,452,897,312,144,275,386,954,389,145,322,933,235,001,632,778,
912,896,788,997,340,944,797,622,384,957,846,659,743,679,068,767,201,350,757,
968,017,897,960,190,437,469,786,785,820,985,657,423,654,916,546,507,831,714,
301,054,489,450,845,438,358,959,202,744,134,858,289,782,877,298,126,615,303,
060,279,862,876,138,258,467,057,887,611,428,836,228,699,967,679,634,387,151,
741,782,034,090,262,569,895,636,170,675,857,616,654,617,287,650,273,014,646,
869,416,147,211,699,158,396,609,248,158,083,452,600,607,429,164,092,979,462,
105,421,416,291,004,712,683,879,388,929,707,955,260,700,807,874,584,828,693,
531,042,003,081,763,054,294,507,767,482,880,863,153,990,742,433,012,307,467,
374,596,353,460,172,997,667,489,769,004,394,800,880,842,590,506,069,211,991,
217,251,179,451,153,267,307,021,711,757,780,332,352,925,700,802,843,830,316,
939,067,702,342,775,220,356,702,486,312,040,650,539,886,160,603,595,890,545,
365,695,706,682,964,908,176,205,119,905,716,640,385,444,977,565,763,818,677,
184,157,852,918,492,760,176,388,984,892,583,346,159,487,781,842,206,935,961,
049,979,729,168,547,540,434,499,807,384,822,716,947,518,696,291,000,861,812,
461,600,254,917,753,541,132,836,142,936,303,468,724,682,333,651,070,356,638,
898,370,667,102,818,567,623,819,937,911,615,418,584,478,712,528,881,312,858,
966,220,211,403,862,880,744,490,035,756,313,979,102,154,837,407,404,084,777,
577,259,904,083,710,868,665,265,719,443,384,101,202,857,948,454,333,418,722,
007,862,410,218,304,303,557,604,371,097,486,507,268,177,235,443,763,302,468,
641,103,328,582,191,768,320,326,800,125,119,811,895,547,925,303,183,912,728,
117,083,925,281,247,547,729,381,298,646,717,107,017,173,652,753,836,821,184,
638,269,921,325,787,144,369,429,327,577,076,197,768,833,020,925,859,038,297,
920,114,179,085,268,201,702,513,909,003,396,035,974,025,348,968,359,335,420,
096,598,101,870,127,852,186,414,103,401,294,690,828,095,147,330,236,284,741,
850,760,017,167,962,176,434,857,368,920,083,576,395,051,938,374,215,765,194,
613,033,301,632,239,265,665,523,196,953,410,725,557,999,693,364,818,771,290,
274,081,052,837,775,080,260,713,040,343,778,640,163,902,380,253,885,853,367,
102,635,788,153,153,570,317,599,820,896,708,183,361,230,939,092,718,724,851,
547,004,350,681,544,173,726,298,531,761,771,118,075,641,589,660,767,423,318,
697,247,705,554,013,115,775,806,543,228,618,302,577,465,901,494,309,242,987,
359,333,828,132,461,375,306,742,693,892,926,423,531,382,561,018,773,463,807,
141,962,436,383,241,285,309,696,204,995,172,156,107,229,582,731,153,697,882,
164,387,898,881,679,322,296,855,020,925,199,807,262,068,656,762,787,003,769,
823,895,900,001,543,603,346,584,497,972,009,488,327,238,330,998,708,607,948,
388,697,697,024,300,081,355,392,660,310,183,847,016,032,929,986,402,545,866,
377,698,747,800,284,973,571,380,199,062,592,451,015,626,579,561,417,955,424,
001,064,820,133,258,121,763,239,933,936,249,195,895,739,932,672,182,070,782,
203,150,034,664,535,529,955,899,514,188,787,009,011,043,001,747,512,185,552,
777,646,088,683,310,942,000,700,203,114,003,200,549,612,972,783,748,558,169,
349,803,428,230,579,678,779,710,766,685,589,626,842,372,013,677,643,338,006,
791,199,999,627,894,413,183,078,684,454,363,717,334,344,680,787,147,478,184,
520,230,347,370,040,856,917,552,824,255,215,140,938,145,824,773,527,218,037,
379,336,756,050,171,276,255,950,253,086,438,474,125,712,814,574,843,919,631,
381,651,450,987,392,365,550,802,463,198,376,100,908,067,913,107,006,659,789,
881,239,479,343,685,711,653,991,628,579,352,798,082,473,657,963,880,219,238,
270,192,260,491,711,627,164,825,291,253,987,067,092,530,845,024,442,843,147,
091,619,923,952,667,611,365,449,161,231,245,848,844,251,886,080,742,784,129,
492,281,341,618,059,870,839,521,475,607,337,256,501,903,803,716,145,524,930,
043,805,500,723,305,692,053,959,025,852,500,851,976,214,214,105,555,059,735,
502,178,904,743,074,668,997,613,546,445,350,265,119,986,368,480,656,025,164,
541,032,362,163,477,513,060,950,417,188,526,283,059,810,687,650,068,973,327,
710,921,751,891,971,310,160,871,224,728,734,989,186,848,133,154,772,414,192,
328,511,821,690,306,825,485,468,558,792,989,396,918,876,670,310,675,348,842,
138,190,325,414,811,612,867,072,954,490,207,873,848,428,755,367,970,673,390,
660,359,113,851,250,795,801,388,589,033,708,696,884,830,701,977,727,382,929,
706,562,521,885,643,350,887,445,942,453,514,976,690,887,587,980,208,056,399,
371,317,106,953,134,341,392,738,864,415,643,271,067,675,712,043,117,654,244,
180,557,636,651,588,767,789,318,675,718,337,165,495,872,880,505,767,853,352,
236,219,722,500,528,768,433,345,171,632,959,567,318,359,516,920,140,714,266,
417,142,274,126,761,747,510,336,396,416,930,446,089,819,334,908,780,052,427,
774,181,225,589,913,121,801,750,511,539,909,112,931,276,408,685,024,144,002,
409,823,373,585,881,163,579,327,799,855,640,185,271,927,982,291,941,213,867,
033,431,347,262,207,718,937,924,649,869,632,483,069,888,758,082,361,081,470,
541,037,790,666,299,911,303,182,167,092,532,105,825,011,260,036,500,924,077,
479,377,483,133,675,597,905,886,723,418,265,479,828,998,491,804,706,864,405,
666,934,352,751,541,997,157,455,050,979,398,232,751,526,255,683,688,360,396,
434,555,411,431,361,001,998,550,640,235,059,945,083,835,685,701,016,156,176,
331,110,472,460,137,934,912,943,185,534,629,817,270,271,979,956,334,505,205,
960,448,325,362,089,945,730,662,282,309,361,811,417,300,698,800,343,506,803,
391,906,472,404,766,146,280,557,201,373,877,604,943,211,260,040,451,290,015,
483,160,988,398,101,693,407,369,343,616,777,727,762,772,037,517,858,898,907,
461,078,015,802,865,431,666,940,822,586,043,059,506,705,961,391,153,716,875,
662,976,963,674,699,736,633,394,571,252,909,181,877,294,754,628,299,675,120,
201,959,801,090,884,225,777,348,837,830,829,104,882,321,381,351,680,882,130,
531,048,175,659,906,224,403,084,777,543,439,750,019,272,145,003,202,015,730,
540,362,007,619,906,523,285,651,197,767,610,663,277,062,168,614,423,355,202,
062,513,840,423,351,229,692,164,472,483,071,441,970,715,059,019,256,401,498,
078,950,024,684,928,215,804,566,139,025,578,904,896,991,919,045,660,312,423,
286,260,955,991,604,536,686,399,034,950,835,426,914,971,088,146,945,608,379,
334,268,454,885,993,875,318,418,166,122,816,362,752,929,514,221,470,371,429,
676,194,820,556,613,342,617,688,931,935,692,182,491,664,713,391,219,477,336,
210,590,293,701,913,569,017,450,714,357,338,630,516,303,326,983,999,577,323,
393,573,466,183,213,778,767,192,804,713,490,424,017,042,848,796,869,725,448,
124,786,386,893,336,681,074,733,862,266,367,572,250,327,827,977,088,107,867,
929,093,746,725,053,669,791,459,171,338,354,647,186,635,876,064,352,052,431,
722,546,914,660,321,642,020,217,990,519,245,560,252,047,450,017,579,941,443,
014,371,728,820,012,982,969,356,200,358,470,460,616,634,699,795,198,093,006,
088,475,785,117,895,628,153,713,937,258,890,361,819,301,648,828,853,962,598,
445,545,090,312,579,786,430,201,255,823,665,256,690,738,825,731,720,612,117,
237,460,318,537,970,365,150,144,295,315,879,229,127,820,773,669,399,517,695,
555,079,598,997,663,778,388,588,055,068,936,539,756,419,456,609,173,118,995,
323,195,456,782,698,235,794,972,659,282,869,101,343,702,502,051,221,316,720,
942,976,172,367,693,195,057,035,224,797,828,183,461,767,914,509,567,392,914,
576,902,241,933,407,863,987,879,154,423,335,315,710,721,682,620,975,510,682,
093,978,951,235,559,165,745,074,645,780,348,429,601,533,041,204,750,241,507,
092,016,812,363,480,192,276,675,781,843,758,551,913,759,503,144,303,560,800,
312,115,193,529,744,650,570,019,884,096,738,197,196,511,996,025,806,170,457,
412,733,304,861,670,247,064,899,659,573,779,413,013,763,057,565,179,856,872,
853,027,397,681,089,457,445,164,832,687,052,744,176,988,527,162,157,490,567,
478,082,189,197,289,114,201,822,472,164,555,629,030,304,681,828,170,634,647,
218,197,476,322,804,566,419,248,274,727,183,413,327,512,972,223,413,931,766,
081,101,364,538,021,207,261,105,213,362,690,191,185,462,420,576,742,103,273,
294,936,678,802,676,617,596,778,917,035,717,194,876,967,549,577,984,475,499,
733,209,330,536,576,664,693,842,714,718,010,307,911,905,492,680,349,650,293,
210,827,837,976,173,505,373,251,025,176,873,229,021,723,689,882,063,077,308,
426,372,956,362,206,928,604,596,825,865,319,953,680,748,222,141,064,863,563,
818,393,028,571,830,760,318,901,428,812,076,935,080,473,048,163,800,154,244,
531,238,769,473,553,876,605,086,210,140,896,327,624,490,509,069,576,561,651,
655,976,972,421,798,321,743,074,148,433,773,654,429,462,620,361,330,658,988,
953,437,537,111,820,944,518,500,894,644,912,357,643,010,853,927,410,464,912,
848,184,936,734,737,960,783,772,657,849,118,800,021,303,156,204,944,472,764,
631,581,465,045,154,578,026,384,295,287,516,782,755,211,930,569,179,585,714,
033,870,798,047,207,647,464,956,561,541,914,063,774,372,976,609,046,322,452,
142,803,005,927,902,478,887,160,626,686,026,963,827,195,227,206,144,494,342,
035,118,571,048,818,411,964,449,110,645,788,433,533,729,073,273,006,321,184,
298,559,803,728,414,956,335,901,668,145,211,842,630,528,916,692,432,498,633,
011,178,026,714,599,572,802,327,642,796,192,566,038,898,723,516,813,412,207,
038,166,854,830,057,306,713,203,329,035,253,933,965,641,553,898,511,640,965,
462,756,235,257,918,240,038,653,340,501,784,005,663,735,816,184,704,023,045,
379,705,172,264,073,440,259,177,450,811,148,742,807,085,215,150,056,429,809,
596,254,053,998,363,933,055,633,708,374,524,681,365,633,127,588,509,197,747,
531,566,665,114,968,468,931,659,048,057,268,954,980,469,651,497,448,473,102,
876,005,235,728,791,425,210,164,897,643,676,665,934,758,824,599,326,263,610,
763,349,655,441,893,176,760,009,951,968,479,385,535,137,168,789,645,136,093,
196,523,336,442,871,412,183,454,978,403,964,956,454,775,038,380,528,009,796,
472,152,487,290,298,150,324,710,480,427,444,381,451,607,309,222,245,925,848,
780,414,083,530,238,598,882,331,355,260,224,221,453,734,368,240,980,039,079,
570,443,083,267,552,698,091,110,899,830,394,322,290,301,758,510,905,579,228,
763,953,520,956,425,333,713,219,065,276,983,192,454,483,043,728,085,653,313,
567,455,728,844,100,072,783,173,712,816,028,634,782,863,046,059,919,620,934,
382,339,359,142,159,253,217,956,099,757,466,390,253,012,113,152,025,070,755,
968,118,652,435,840,168,175,323,244,807,924,847,479,508,859,346,355,863,278,
705,564,700,991,089,461,406,901,161,362,502,398,747,121,156,406,564,966,272,
700,979,320,786,863,477,768,763,187,084,221,927,633,885,238,353,235,114,389,
134,218,814,663,870,791,472,224,266,202,132,051,960,371,155,852,475,543,429,
815,920,814,336,271,395,700,768,651,585,449,024,697,045,652,934,386,864,227,
466,136,288,956,684,216,303,538,952,575,937,648,722,138,038,861,202,527,797,
618,860,236,256,641,307,579,723,667,997,835,469,768,819,317,567,905,615,344,
343,416,216,087,705,125,629,046,767,158,882,734,946,185,479,241,203,332,609,
848,849,260,492,359,346,710,410,124,138,152,692,926,757,932,372,862,859,481,
566,287,293,442,257,355,528,376,353,072,994,402,309,795,003,158,964,120,817,
636,249,468,962,773,422,920,433,285,351,607,791,277,516,077,125,774,312,168,
026,835,947,279,427,810,748,085,142,255,742,427,312,823,613,698,843,696,464,
380,771,724,914,284,090,142,763,315,857,884,879,630,650,562,976,599,426,177,
193,059,643,663,043,279,141,473,445,531,829,862,503,786,490,705,496,281,166,
894,781,636,875,701,187,962,235,794,227,745,660,624,703,946,159,449,596,902,
541,263,432,494,937,950,986,895,762,719,197,835,165,325,903,170,984,381,773,
957,946,459,410,613,605,451,790,186,939,547,648,212,334,741,190,587,077,873,
385,870,232,274,738,166,636,818,652,376,451,616,552,521,739,430,257,755,955,
990,890,240,168,247,439,482,401,630,148,104,911,204,532,803,073,190,807,284,
662,685,128,832,268,671,981,973,542,649,864,563,464,460,956,440,515,766,902,
213,260,865,732,301,940,476,526,531,779,092,498,503,128,955,122,140,804,854,
722,282,754,486,369,933,509,779,948,606,389,033,797,972,885,431,450,032,935,
382,723,931,477,674,343,171,220,862,231,490,823,221,117,258,862,822,978,767,
626,888,167,770,346,052,313,092,483,786,962,255,727,903,020,508,145,757,423,
414,819,572,169,077,745,637,330,513,750,356,177,758,460,313,256,068,917,275,
826,562,069,018,991,960,031,350,735,419,654,023,212,626,961,048,563,179,204,
720,629,568,386,777,219,645,541,061,456,348,569,890,658,272,354,806,653,360,
719,257,631,831,920,587,338,207,159,711,352,233,470,174,315,867,834,543,220,
057,580,079,568,825,946,841,000,893,968,106,522,878,528,739,252,923,314,331,
404,649,156,979,904,749,541,732,307,320,306,826,810,237,308,253,933,167,018,
938,766,884,297,886,497,700,718,209,429,224,798,624,201,864,008,448,184,282,
455,961,582,847,975,782,757,712,979,274,434,643,077,436,727,009,841,049,482,
430,114,352,091,402,981,196,736,684,758,164,523,148,043,702,395,116,225,887,
483,475,117,051,450,020,584,519,869,534,840,751,675,826,845,245,128,442,434,
611,280,076,546,091,992,990,970,780,444,044,168,718,135,678,261,524,652,981,
047,250,359,546,484,786,282,377,482,174,295,479,489,678,883,562,840,080,463,
489,141,089,022,365,268,861,053,680,549,002,664,407,085,906,904,085,444,426,
023,200,086,836,248,901,487,905,633,848,336,386,080,776,779,242,874,486,213,
918,610,499,977,421,254,791,199,746,604,154,035,266,342,101,923,442,093,485,
715,355,043,103,921,026,096,559,590,904,424,959,751,671,195,791,980,216,081,
968,748,590,092,423,082,272,705,529,277,913,896,129,889,258,239,945,429,780,
015,544,671,377,167,882,704,025,035,637,191,192,380,555,664,252,183,538,684,
611,209,553,651,701,753,524,883,144,961,781,554,155,247,434,258,836,923,156,
537,777,904,741,049,670,512,693,183,911,202,834,906,059,773,782,723,959,929,
091,209,493,791,371,408,500,589,295,631,111,758,082,549,961,273,480,013,062,
586,543,461,251,011,478,369,056,329,053,620,795,079,408,265,683,206,659,222,
383,493,027,415,506,743,722,569,234,443,197,604,708,523,816,598,501,648,847,
395,818,785,072,257,454,689,150,222,601,248,038,382,639,093,807,857,915,752,
522,634,821,453,753,930,950,727,451,750,924,689,555,189,750,389,142,466,467,
270,293,166,429,391,208,303,598,690,132,277,949,011,601,065,217,041,789,905,
300,762,936,923,200,371,488,233,421,060,692,940,431,456,816,144,726,875,112,
921,586,741,492,227,887,262,455,297,180,607,895,323,874,152,619,415,240,725,
867,385,734,896,596,483,260,708,160,887,346,219,226,696,967,355,100,832,617,
791,295,320,552,479,874,932,505,950,944,838,308,881,843,854,687,823,685,271,
602,013,968,705,264,671,268,863,454,607,219,244,968,156,130,059,442,449,124,
438,059,685,821,972,724,962,008,511,879,280,371,515,126,903,719,124,619,647,
081,807,607,821,903,620,815,824,492,574,531,180,224,144,101,732,567,720,006,
854,501,157,262,855,217,039,050,872,210,087,185,310,808,581,125,863,535,743,
501,277,796,101,115,962,923,300,213,513,281,640,328,505,025,563,677,133,356,
591,142,275,867,006,470,236,546,548,441,598,245,257,835,607,779,693,512,561,
797,726,113,068,566,858,957,683,493,177,008,647,913,139,096,807,087,354,733,
917,556,776,978,589,408,246,293,504,813,080,928,403,700,035,068,324,690,966,
348,197,243,333,835,218,173,214,628,228,043,874,183,741,961,328,961,913,042,
988,323,073,132,683,410,804,580,441,157,694,449,982,894,459,889,269,523,167,
481,393,384,552,898,626,006,721,683,141,623,868,903,884,076,619,657,958,135,
993,219,909,498,850,226,619,968,519,643,978,446,417,282,596,583,230,063,634,
701,743,574,635,035,520,686,360,806,713,076,883,353,969,882,981,462,818,123,
575,885,926,406,154,589,979,794,125,320,718,048,118,140,264,154,581,592,165,
664,159,551,118,161,782,475,864,300,173,184,092,977,409,015,070,855,634,354,
736,845,466,631,498,678,919,770,164,075,872,538,296,947,665,023,633,381,430,
246,284,161,676,010,009,112,729,194,651,929,401,185,590,288,418,038,644,074,
719,974,010,089,367,208,100,179,959,373,768,742,034,016,208,626,032,289,714,
346,654,553,228,873,995,166,247,840,436,983,763,497,867,355,875,411,636,715,
517,478,140,145,625,843,930,391,890,215,241,547,747,804,437,467,601,543,347,
633,060,933,886,048,182,426,756,215,887,566,042,378,314,636,251,088,389,427,
621,768,569,782,311,101,767,064,154,347,764,814,014,057,671,099,858,274,628,
503,176,995,777,332,779,019,696,676,351,711,642,484,037,308,980,365,214,442,
220,016,514,694,148,997,510,423,147,308,273,241,966,560,222,238,919,277,436,
076,880,283,366,850,078,601,982,600,911,141,631,996,864,925,153,576,733,561,
679,144,373,503,891,749,692,456,931,392,939,393,829,542,316,011,133,593,343,
544,146,036,378,508,577,290,776,128,699,023,951,554,683,353,372,729,329,973,
761,983,132,914,024,088,654,476,029,643,169,483,534,972,788,771,269,186,867,
248,727,542,349,853,868,472,753,247,287,245,961,014,665,127,417,675,266,092,
804,835,760,953,185,248,696,928,050,682,407,896,202,929,456,950,266,230,979,
550,023,090,110,196,799,562,996,944,795,052,077,201,168,390,468,426,130,894,
193,468,674,949,734,993,451,175,706,431,706,817,761,803,842,041,140,047,440,
998,179,111,901,016,800,580,964,671,877,925,056,678,761,074,199,828,772,125,
345,395,525,474,516,916,583,693,387,661,046,082,771,625,975,506,115,007,443,
442,924,876,277,690,097,782,787,114,509,251,462,387,548,679,039,345,601,660,
984,258,485,627,436,656,285,445,877,125,107,718,222,324,181,911,796,353,461,
993,171,801,138,062,564,322,140,445,154,177,819,767,439,861,852,865,151,940,
196,036,262,742,486,014,743,618,306,402,231,949,107,789,978,051,355,917,873,
489,496,860,519,503,221,545,722,629,674,387,447,196,721,473,909,365,354,811,
783,300,736,335,774,814,242,733,627,691,528,883,924,008,113,111,323,197,529,
341,651,299,136,616,332,937,852,010,940,338,404,219,251,452,864,911,235,447,
056,934,496,886,401,990,855,442,207,412,046,823,807,335,865,843,164,794,799,
392,392,487,948,808,033,142,708,407,352,907,102,733,075,744,929,453,045,434,
298,547,686,382,236,883,749,511,899,206,575,456,671,625,884,274,483,143,255,
644,161,409,920,549,120,667,891,291,173,556,257,945,771,720,877,470,524,031,
824,637,089,056,614,610,169,475,286,229,188,871,770,082,290,006,502,710,093,
270,195,030,850,315,211,261,746,170,203,799,242,867,491,566,179,068,531,605,
548,759,384,774,366,170,756,935,212,837,134,070,704,700,751,731,358,805,854,
575,663,283,613,559,961,476,221,472,346,281,998,829,639,226,028,148,057,759,
473,491,509,221,070,711,091,923,075,656,911,119,954,289,712,231,014,690,116,
822,703,719,948,697,769,191,761,114,098,999,122,261,581,942,371,776,376,398,
469,588,815,404,798,431,038,058,286,844,752,790,504,666,336,644,122,941,520,
577,927,935,355,899,496,314,069,893,890,433,200,776,849,717,395,171,457,013,
870,043,825,443,773,153,210,315,363,182,893,899,229,830,147,072,242,003,160,
002,855,041,047,830,151,071,313,049,443,771,156,006,955,321,118,937,990,036,
213,496,847,647,408,184,522,534,556,902,919,625,189,901,190,732,987,734,763,
237,646,208,104,232,358,324,132,699,289,930,394,423,434,502,462,518,389,120,
179,552,174,748,127,295,277,205,826,223,717,270,401,551,416,684,024,243,448,
724,213,705,357,879,880,315,521,336,229,038,724,804,333,322,590,936,033,924,
539,399,903,703,429,550,807,451,632,201,705,686,489,129,886,585,771,161,768,
187,475,138,603,161,280,585,015,297,082,409,055,408,573,550,940,894,524,112,
683,585,039,577,034,494,269,757,038,709,607,681,638,930,673,569,870,767,051,
398,589,500,733,608,530,727,933,273,314,258,831,951,543,871,130,762,044,408,
429,983,825,661,481,497,642,381,765,444,739,162,464,007,611,620,592,396,671,
238,445,953,178,285,482,413,428,632,979,933,373,946,159,195,454,955,416,173,
803,996,453,623,560,949,009,632,091,256,640,498,874,496,957,711,972,905,654,
563,107,485,159,613,756,025,027,304,730,944,076,129,866,624,507,572,147,666,
655,193,230,078,902,833,955,018,957,834,918,119,407,847,642,259,503,149,191,
747,836,038,877,011,907,629,266,338,246,345,784,654,869,870,953,757,237,780,
387,271,851,208,468,414,704,767,104,675,351,377,635,246,215,187,987,643,301,
286,031,662,856,448,930,950,835,905,443,014,752,830,846,598,485,022,853,672,
131,287,349,464,989,701,215,153,207,183,521,629,691,803,134,020,566,174,992,
061,051,088,361,938,920,100,129,077,197,299,236,971,196,591,142,711,677,101,
384,355,459,997,524,363,272,792,023,287,795,053,101,792,154,131,982,634,780,
904,700,280,823,585,472,515,315,882,648,055,163,710,119,241,122,292,011,421,
236,569,884,825,919,517,564,469,988,172,622,444,719,969,005,399,221,067,415,
255,910,123,590,617,835,595,250,309,697,556,201,888,947,413,493,633,255,092,
489,167,288,551,398,481,120,949,364,528,329,521,158,408,194,550,505,145,767,
722,971,797,861,747,949,365,245,419,628,459,214,115,550,941,309,158,181,216,
741,344,648,812,029,929,883,571,818,188,189,028,548,420,972,299,077,742,282,
240,211,423,649,551,811,652,778,833,904,343,462,641,295,297,122,496,029,612,
677,546,564,399,015,101,806,344,458,257,961,897,509,067,325,949,902,273,776,
444,561,511,220,492,610,446,654,644,763,438,580,104,035,422,709,472,311,023,
850,303,984,560,378,330,201,266,326,396,777,325,379,295,646,226,706,109,876,
614,877,692,025,526,989,016,293,067,297,717,204,732,889,366,631,698,673,846,
965,844,644,640,880,876,173,257,782,088,178,743,298,368,020,551,323,057,718,
835,733,176,684,250,517,869,105,826,486,424,761,452,909,819,842,035,611,019,
883,766,650,864,309,399,186,535,315,284,845,047,531,444,480,452,445,615,295,
753,607,892,691,100,808,447,938,600,655,979,924,869,723,095,787,842,495,440,
573,711,714,777,552,714,183,876,616,805,781,497,837,919,342,132,011,677,705,
660,645,882,513,953,887,764,470,827,782,117,723,341,611,411,496,914,304,380,
167,713,605,360,280,567,601,153,427,573,343,566,621,199,685,436,745,335,746,
501,570,406,309,072,246,441,377,140,420,625,650,580,795,647,776,089,263,449,
340,201,826,315,114,931,181,861,650,517,282,990,836,179,470,806,816,219,780,
572,175,412,295,381,757,960,052,660,044,970,300,643,532,638,465,581,791,226,
844,908,298,697,227,566,761,717,606,470,043,097,014,385,639,362,392,624,001,
307,839,896,698,124,610,956,555,368,930,681,394,497,894,388,042,680,948,629,
401,347,682,911,732,599,551,162,516,953,278,999,446,121,130,781,644,309,530,
183,394,017,137,622,038,391,682,672,976,064,023,341,759,200,402,694,979,446,
485,424,605,188,966,248,926,616,609,833,163,654,455,512,309,840,829,497,221,
133,343,355,396,640,609,081,379,018,598,278,847,395,212,744,437,170,656,913,
621,094,188,529,665,905,316,114,076,980,958,784,664,249,987,503,262,576,317,
878,192,276,072,396,232,794,947,347,600,050,520,317,458,352,379,791,909,278,
589,715,032,554,818,171,837,207,470,837,750,997,028,172,410,510,327,946,757,
088,955,196,679,344,358,701,986,649,427,756,506,746,440,728,019,719,217,842,
548,530,293,091,070,839,243,314,354,976,873,219,849,165,397,444,219,688,221,
516,704,124,745,394,841,067,833,187,958,868,407,329,957,343,330,223,238,984,
632,834,594,824,416,506,702,107,618,791,661,876,283,472,504,091,345,229,703,
094,065,296,601,313,246,959,117,823,084,026,645,418,951,496,801,790,798,287,
864,013,049,023,288,541,456,042,514,248,097,894,078,902,115,456,726,041,234,
225,878,914,616,752,708,302,581,379,348,383,127,305,132,903,630,321,599,022,
197,801,519,790,516,624,694,732,714,585,456,464,465,314,253,605,325,944,935,
754,965,986,342,949,711,504,305,735,454,551,737,882,141,101,188,598,644,522,
454,458,227,595,124,277,721,110,632,045,500,234,704,622,497,678,935,464,501,
396,586,279,585,966,796,963,391,583,558,245,564,950,064,971,500,730,614,588,
655,844,959,884,026,710,423,238,701,277,786,401,587,705,254,714,551,878,338,
323,003,044,560,016,891,009,931,477,060,730,781,907,767,926,085,983,701,157,
070,765,606,078,847,691,828,236,688,843,491,857,741,553,595,037,826,645,723,
611,163,107,174,515,459,466,053,318,822,483,871,277,078,426,872,719,982,909,
757,310,311,514,867,976,202,530,327,764,528,572,448,854,860,091,573,161,878,
240,641,043,690,873,394,508,812,058,590,527,627,051,353,217,770,965,379,314,
578,734,168,456,868,127,742,556,934,511,240,593,861,063,555,279,327,500,399,
908,946,103,603,806,507,868,288,200,124,231,861,015,874,690,575,669,621,058,
961,612,696,103,934,689,613,696,695,717,660,251,995,614,337,147,275,612,211,
237,050,976,651,375,738,654,106,321,543,600,051,195,293,221,431,780,307,612,
227,691,129,741,947,844,304,831,324,427,672,011,336,993,784,082,648,851,095,
048,200,861,061,263,227,623,793,399,681,823,422,850,681,726,751,062,029,791,
577,104,046,592,995,534,690,494,034,780,047,609,562,996,747,653,443,340,825,
299,682,160,867,048,928,072,422,749,581,948,410,761,648,942,812,549,725,309,
620,772,659,605,891,029,107,037,091,127,834,395,478,516,509,232,095,839,554,
282,464,180,161,627,066,087,013,568,059,293,981,072,314,351,211,946,259,050,
227,989,278,046,913,070,768,900,139,101,147,115,494,574,529,546,231,870,862,
015,370,773,313,066,380,967,981,748,257,426,529,201,755,410,053,115,553,634,
191,144,327,489,319,130,182,545,251,504,675,110,796,946,347,374,242,815,834,
525,591,194,660,466,209,585,526,296,162,062,950,203,327,344,709,967,351,538,
784,148,076,113,674,124,588,038,802,739,312,564,109,418,774,930,469,833,530,
956,561,904,461,667,020,875,164,444,104,726,230,357,993,496,940,578,114,279,
472,402,052,319,464,851,841,244,637,320,234,231,426,374,035,156,769,905,555,
375,895,775,077,499,680,935,530,762,172,115,428,250,239,545,292,517,319,125,
375,343,200,520,744,289,433,479,506,205,069,039,826,083,943,966,175,659,108,
286,580,143,105,140,488,741,314,934,918,121,637,541,761,987,320,739,749,989,
452,172,594,482,359,635,303,634,602,776,289,349,653,068,234,592,392,199,080,
799,530,129,565,266,183,512,056,869,083,863,431,150,813,662,669,153,718,851,
988,868,359,936,147,057,139,075,709,895,425,329,332,095,687,357,249,569,545,
700,427,640,315,974,552,082,639,963,488,695,043,911,400,971,053,698,984,855,
869,176,916,198,302,964,012,664,319,143,710,872,782,529,510,331,946,855,123,
579,418,881,874,732,731,504,572,348,731,841,018,831,879,864,538,990,991,975,
165,521,616,698,164,062,224,135,117,354,249,152,471,950,469,967,007,072,027,
122,098,523,426,384,471,689,872,119,334,716,001,717,682,424,207,086,182,292,
081,785,646,607,365,447,577,150,837,062,503,003,861,482,557,837,202,432,221,
686,016,748,446,706,231,392,551,505,021,314,166,122,945,543,492,279,471,017,
746,662,369,431,193,231,133,720,439,614,927,828,896,474,709,512,180,275,559,
917,693,639,429,331,420,786,173,989,862,064,418,924,099,249,070,941,070,942,
506,351,273,296,273,986,757,578,466,251,343,319,570,306,485,934,062,900,370,
195,534,091,414,228,644,714,031,374,121,137,711,036,473,235,520,751,092,494,
788,033,549,767,203,757,555,804,387,879,785,985,915,652,434,555,265,982,609,
888,239,581,420,819,850,141,952,552,163,164,332,474,125,779,769,641,193,663,
575,665,696,515,499,687,678,689,688,043,399,439,797,599,374,389,692,153,890,
984,426,232,553,159,546,283,899,477,904,262,736,978,324,152,014,095,644,519,
647,527,944,568,092,309,969,865,783,630,911,303,194,564,724,030,479,308,485,
570,680,546,284,375,570,100,556,381,631,405,204,220,840,450,089,933,577,479,
424,427,695,215,873,152,904,402,942,715,425,993,488,903,818,506,747,873,250,
352,091,031,542,920,553,115,035,404,480,232,004,332,969,628,385,035,391,448,
312,833,327,467,372,764,862,871,100,373,334,619,024,666,960,668,505,587,689,
144,384,621,232,241,751,747,252,856,127,134,946,865,268,372,029,739,012,955,
807,801,845,047,355,107,330,668,403,208,221,198,794,128,850,229,182,508,350,
602,824,471,938,972,437,931,058,159,693,018,205,504,227,340,058,983,295,678,
493,263,421,578,573,664,475,546,577,952,113,632,782,302,755,756,580,554,881,
425,476,549,883,091,471,820,049,642,888,327,898,164,359,190,210,355,829,403,
037,735,672,052,722,808,899,266,587,760,387,095,857,216,382,964,259,481,209,
955,788,123,379,368,820,841,676,504,490,335,281,509,672,758,724,488,891,431,
315,153,032,269,039,962,806,999,087,504,564,826,084,050,268,445,077,789,075,
406,028,188,569,979,753,983,442,279,660,797,800,342,152,902,300,360,633,132,
231,048,319,327,715,653,936,428,805,022,374,972,296,377,056,091,509,175,721,
895,249,039,599,560,736,558,696,158,864,042,712,681,530,775,552,786,887,634,
949,876,976,801,212,516,297,594,615,082,877,805,245,875,853,559,147,264,912,
019,104,652,399,927,381,899,791,383,224,731,980,644,652,569,889,732,050,670,
366,991,768,656,784,882,549,098,262,382,322,734,682,679,259,154,659,132,779,
619,162,520,900,006,480,520,849,592,116,060,037,913,186,633,943,153,418,325,
276,869,372,276,957,964,479,801,960,383,478,414,537,125,662,545,421,415,731,
871,637,055,470,805,433,328,046,543,927,003,759,122,541,094,913,501,002,559,
459,549,064,349,939,343,552,113,039,786,624,923,791,643,470,015,080,929,561,
753,963,967,561,790,839,373,213,506,305,635,658,739,893,538,958,171,366,156,
926,024,563,614,350,384,176,100,485,271,878,819,760,339,536,910,068,521,377,
213,145,354,404,646,007,356,940,811,404,570,882,938,067,691,671,219,290,422,
029,823,729,255,471,299,813,116,608,366,212,941,149,134,478,055,201,200,942,
237,436,361,253,148,544,412,886,756,111,444,592,839,067,313,440,315,966,404,
252,691,615,763,700,309,180,905,250,803,983,904,087,202,475,756,818,568,754,
081,443,884,673,710,632,865,443,499,637,150,098,057,619,885,103,369,045,192,
238,890,807,277,980,925,053,272,812,073,741,946,926,240,283,433,816,603,691,
836,712,457,125,807,924,860,766,149,511,312,135,752,400,598,687,964,618,174,
336,915,426,594,257,184,825,263,197,363,745,583,694,858,561,399,771,163,332,
591,959,852,884,682,946,278,829,726,057,992,019,696,605,547,032,178,354,679,
361,926,554,277,479,805,944,145,664,031,722,290,644,569,089,502,795,112,481,
641,506,307,651,818,650,015,962,096,359,881,528,519,886,283,853,704,360,372,
791,649,584,705,265,047,544,451,961,587,003,925,563,436,389,552,744,340,817,
188,385,002,790,707,185,233,856,440,980,643,747,845,471,100,486,321,609,150,
622,261,581,997,744,163,743,609,897,139,629,908,994,591,091,201,801,166,302,
998,994,086,882,500,258,574,957,224,603,553,860,027,502,230,258,410,556,771,
339,824,683,711,554,017,547,061,655,210,947,663,419,348,431,781,783,923,046,
810,141,429,788,714,577,622,309,847,087,001,361,517,736,755,783,336,517,205,
251,032,089,108,123,475,687,739,028,363,090,249,818,102,991,117,279,224,179,
670,887,208,156,529,158,322,489,681,983,956,424,089,732,838,063,522,636,130,
293,457,746,492,073,405,714,642,712,824,616,749,516,738,969,616,864,614,271,
945,485,342,120,334,276,591,003,518,864,381,640,405,443,239,397,839,216,660,
186,946,768,522,950,753,884,948,390,482,388,713,210,759,922,372,245,093,013,
073,005,859,812,225,938,202,710,157,417,613,705,723,400,240,274,632,429,915,
962,243,149,821,081,574,823,731,486,997,428,844,409,498,008,006,800,625,633,
912,273,561,128,151,575,524,500,507,723,233,817,376,694,370,857,148,603,617,
643,750,043,736,058,183,050,894,821,925,636,462,554,064,679,647,263,082,075,
004,205,768,666,453,918,190,653,524,883,225,134,651,808,447,414,442,026,858,
878,108,148,510,334,690,060,131,284,415,760,456,341,321,058,061,363,849,217,
010,298,985,132,826,047,015,883,461,872,490,197,292,630,976,218,072,653,549,
993,215,415,829,851,934,671,000,072,860,555,447,878,453,978,225,419,456,018,
697,747,534,252,646,992,206,318,287,789,897,967,270,518,803,619,436,943,047,
900,993,127,713,424,660,268,404,176,896,341,010,530,781,312,206,867,340,947,
367,131,855,106,970,076,404,178,511,792,119,548,262,557,882,392,865,816,393,
522,146,290,153,132,317,962,791,466,672,243,768,474,495,721,725,240,198,541,
232,403,820,455,518,222,673,623,664,155,878,381,087,186,214,965,289,349,321,
521,918,680,337,843,062,563,802,898,000,953,622,832,298,270,306,846,074,185,
772,587,026,055,743,102,134,948,299,848,625,085,533,311,897,597,275,462,599,
417,539,882,134,847,804,774,072,152,774,687,360,173,890,984,585,790,827,258,
868,689,937,077,613,615,906,622,257,879,897,094,811,525,370,997,124,984,740,
984,269,183,690,780,102,414,771,480,813,922,451,943,117,180,546,068,306,670,
530,386,416,727,585,678,371,837,638,754,140,009,062,091,605,488,018,823,439,
321,492,569,852,727,154,505,203,119,308,480,501,238,445,511,660,133,639,186,
522,906,644,171,118,393,078,292,600,951,353,022,416,884,972,820,267,387,296,
987,974,193,919,141,729,278,194,102,616,846,051,718,102,362,190,902,604,848,
426,197,013,865,688,216,913,868,984,344,046,734,623,760,200,559,137,066,713,
047,445,736,706,856,538,013,455,388,925,005,991,402,093,045,175,143,434,472,
887,923,441,762,883,368,113,653,166,576,400,119,314,284,899,540,217,775,345,
909,851,546,543,708,663,965,327,758,330,136,720,893,691,313,229,952,436,452,
630,021,763,934,524,051,694,107,712,048,506,146,954,674,180,787,372,364,931,
561,165,500,331,056,849,993,448,021,857,020,784,597,796,926,301,682,195,144,
765,734,049,445,499,987,100,369,103,567,382,840,076,586,663,265,049,188,438,
749,108,164,276,895,696,637,232,410,019,824,575,863,014,689,116,494,295,884,
713,101,722,822,627,923,666,105,184,696,046,649,927,980,216,745,165,215,324,
850,328,334,557,056,605,050,133,239,768,116,931,015,613,991,774,684,469,417,
190,948,480,167,234,149,421,670,324,252,120,472,075,106,444,535,606,425,090,
425,424,245,425,071,808,952,032,275,363,718,295,332,246,612,355,785,794,224,
577,091,672,247,087,145,216,639,443,075,596,563,217,714,991,618,356,335,076,
729,171,092,821,868,760,712,790,280,020,993,139,028,007,969,922,629,507,169,
372,806,466,642,210,385,249,426,964,469,216,884,156,817,116,186,812,024,255,
350,083,976,725,811,180,721,746,016,014,390,545,903,720,868,443,391,639,433,
185,906,372,932,099,783,014,102,390,514,765,122,258,001,573,430,102,185,269,
581,585,116,361,135,794,662,180,248,244,923,357,568,126,721,775,359,757,974,
379,470,750,586,650,612,848,973,997,075,432,800,847,266,539,173,593,750,779,
696,628,386,639,491,161,070,365,116,714,404,035,163,063,846,743,670,008,083,
186,632,619,913,713,926,113,984,726,368,119,586,569,333,935,974,872,510,868,
056,470,249,740,752,559,748,046,652,942,143,330,912,554,071,570,973,071,806,
683,934,224,796,177,704,310,489,439,131,288,946,694,938,829,728,988,268,699,
007,680,743,734,328,102,584,772,949,107,840,872,906,628,766,619,242,758,388,
088,422,867,997,377,377,325,577,687,201,852,875,948,190,212,466,794,321,463,
544,807,619,631,915,548,542,127,427,375,869,618,544,794,718,250,678,147,106,
527,188,871,128,043,663,341,982,485,073,843,414,146,983,877,089,038,419,955,
978,616,960,563,390,834,976,101,218,023,335,058,750,548,991,805,123,045,056,
832,612,213,512,538,341,018,667,378,887,887,704,232,296,286,185,397,342,361,
254,043,872,655,131,476,215,069,698,221,618,414,407,880,802,327,665,927,686,
721,477,965,705,626,676,120,317,651,001,651,342,583,698,793,297,334,613,551,
325,573,198,721,442,745,560,217,863,821,943,777,310,078,503,305,882,354,681,
885,387,474,948,691,334,229,683,831,497,755,263,505,258,789,098,779,039,250,
711,109,677,335,625,294,052,788,782,857,554,276,559,769,918,520,134,202,992,
554,479,601,594,859,169,188,514,028,541,446,198,330,783,150,997,008,731,079,
072,404,240,484,239,574,704,508,425,302,308,156,808,193,953,787,470,364,980,
029,620,584,553,176,665,736,092,449,282,511,606,057,878,950,319,523,459,537,
189,524,525,393,729,738,095,250,327,842,004,820,655,024,634,535,194,825,716,
560,675,019,347,080,791,788,337,021,128,632,823,575,065,620,811,620,633,602,
268,580,905,672,020,039,318,225,255,150,873,430,338,475,148,713,272,115,029,
793,754,288,581,558,849,145,939,699,001,559,061,050,350,317,202,319,451,556,
587,205,444,800,097,172,377,973,687,026,631,823,527,811,837,041,908,156,527,
869,478,523,966,278,204,746,445,173,759,451,168,850,817,305,346,535,465,473,
367,148,519,752,317,814,112,973,012,931,719,601,276,383,292,571,532,850,370,
256,314,349,014,098,142,454,967,839,545,647,676,623,316,526,086,929,849,351,
554,324,123,771,739,977,878,765,615,330,220,617,004,039,184,535,238,861,176,
659,989,709,415,201,320,358,623,275,279,570,808,674,900,867,499,449,361,672,
772,654,166,201,046,834,970,808,264,377,139,874,895,989,563,594,150,507,915,
965,272,881,657,580,859,922,965,598,429,013,363,756,679,193,476,994,394,872,
212,644,270,490,152,217,147,499,441,676,817,292,241,026,847,667,019,690,427,
278,278,670,454,043,939,041,934,651,265,794,640,999,486,875,984,466,419,643,
117,611,551,632,439,206,622,333,221,645,990,250,650,852,191,183,109,965,276,
524,389,865,294,508,349,715,132,672,069,068,025,309,311,915,171,151,001,720,
622,043,070,430,736,869,706,899,037,927,112,129,571,693,036,699,821,597,008,
750,288,678,051,005,345,207,993,591,137,225,173,449,124,541,678,736,973,622,
797,017,634,887,334,264,605,718,316,752,997,605,820,067,942,652,039,599,856,
592,189,118,367,529,981,756,744,151,294,097,212,532,125,680,551,939,469,704,
724,748,562,489,971,138,731,055,531,731,679,565,052,635,020,599,920,100,547,
877,044,570,668,637,635,757,680,142,026,431,667,430,152,381,315,300,777,019,
746,413,320,228,002,687,385,767,248,570,102,300,578,710,830,489,428,071,065,
924,233,578,815,997,107,713,720,619,566,754,786,184,077,842,707,018,616,841,
149,702,458,616,404,801,052,304,702,986,850,507,431,753,750,473,641,278,707,
335,160,525,953,313,020,470,632,548,542,965,310,887,215,942,810,828,844,923,
365,698,161,868,983,720,326,683,504,442,447,523,115,470,191,091,905,659,509,
293,922,511,171,806,931,195,635,310,662,276,166,476,278,057,138,526,499,102,
460,838,830,644,050,761,721,713,410,978,330,350,625,862,147,852,316,117,918,
906,234,638,950,547,635,290,081,772,602,579,354,480,081,992,641,525,767,215,
394,779,554,166,884,200,661,506,344,672,840,630,565,357,900,345,207,259,336,
955,050,419,204,480,144,636,893,273,393,635,539,286,849,577,563,182,202,603,
954,818,975,256,942,339,395,991,209,070,091,947,579,071,496,124,748,357,018,
594,643,912,820,471,874,434,202,462,961,008,942,744,968,047,944,146,766,154,
279,912,812,793,280,244,140,762,565,712,550,212,781,733,343,661,269,024,231,
449,217,278,842,762,745,658,755,518,123,865,631,459,817,289,524,497,810,734,
570,877,871,816,857,104,281,492,658,201,810,386,310,176,323,485,471,074,469,
331,124,572,853,151,448,400,615,913,829,444,172,806,569,343,764,808,715,554,
713,304,331,426,730,577,150,377,941,329,191,558,763,367,612,930,998,985,396,
108,263,362,116,269,853,373,901,165,475,970,845,362,745,995,288,861,845,924,
510,913,020,291,881,418,814,781,041,317,239,292,318,606,135,677,027,140,446,
712,023,857,387,557,874,566,677,308,701,748,779,787,372,409,377,892,580,790,
102,112,558,592,931,938,852,760,857,750,616,986,701,234,978,246,450,962,115,
235,389,338,541,267,303,674,556,257,814,947,267,315,588,801,299,372,019,225,
408,897,057,836,009,894,141,572,680,272,914,760,222,591,728,282,217,495,613,
304,638,895,314,595,100,608,631,883,612,424,462,354,624,478,361,416,753,617,
026,998,854,582,062,874,910,689,207,925,963,082,085,566,135,534,894,692,936,
435,613,359,157,788,761,335,104,320,432,631,250,248,798,947,381,884,356,951,
975,403,330,627,381,625,036,350,890,097,865,535,109,747,991,413,197,930,833,
855,664,581,144,389,014,662,970,121,691,966,481,921,538,457,973,422,904,338,
393,390,572,046,263,223,354,433,478,113,198,766,274,424,577,566,712,450,293,
064,976,046,584,991,039,590,243,526,925,261,409,052,862,908,314,807,684,513,
422,950,766,827,620,770,492,307,121,479,181,198,300,901,903,566,643,033,808,
012,572,302,835,563,425,064,222,267,632,625,239,191,320,191,482,666,994,453,
359,029,142,982,646,228,243,356,454,418,443,235,143,295,442,302,954,422,941,
493,455,032,361,353,323,236,494,060,233,666,986,034,471,053,989,540,892,733,
644,732,892,721,889,856,214,326,897,584,571,013,673,074,603,008,599,527,872,
486,913,259,248,385,402,291,373,427,465,941,790,268,901,510,177,417,113,701,
314,144,944,468,101,990,098,059,303,569,276,996,843,688,336,011,784,015,858,
803,966,351,837,961,013,188,661,844,037,988,380,138,657,135,854,682,511,163,
431,940,093,792,361,472,667,935,984,348,785,162,406,472,470,973,574,126,872,
503,348,178,111,641,419,172,692,876,750,802,450,688,047,703,842,742,271,483,
948,972,468,869,540,159,999,260,274,250,586,420,256,476,320,863,124,537,078,
134,919,159,114,258,630,997,095,511,178,388,197,234,414,547,461,700,734,052,
827,606,429,571,619,889,008,204,625,149,995,596,765,040,597,693,851,156,767,
435,428,356,742,575,051,421,430,107,748,209,125,096,436,591,080,460,228,798,
024,112,423,005,883,095,284,790,658,629,844,333,898,666,149,616,230,977,447,
279,524,998,666,927,794,928,406,363,121,347,115,716,863,984,060,202,103,993,
884,269,838,931,149,296,848,219,405,781,931,422,775,256,898,838,159,299,572,
296,300,794,446,916,927,590,304,021,229,821,778,590,506,530,513,559,654,777,
873,185,888,892,329,185,959,264,411,314,366,442,983,082,009,639,924,847,653,
761,278,797,575,011,631,381,015,698,933,597,237,779,745,423,695,516,037,682,
269,685,392,507,127,696,208,564,013,693,352,771,977,974,681,856,153,550,848,
919,582,145,959,971,642,834,983,508,715,635,963,619,039,405,126,765,716,970,
424,367,440,838,903,020,829,521,202,536,835,925,714,162,468,675,675,131,027,
620,319,938,971,043,139,005,018,468,108,173,224,356,302,890,663,423,908,200,
136,704,010,717,963,480,058,315,776,123,444,628,815,980,669,221,833,825,829,
408,718,766,281,226,751,515,061,208,418,403,437,991,651,213,500,817,332,807,
332,039,401,868,644,640,739,554,702,361,358,946,842,126,994,768,871,526,534,
353,767,984,513,809,754,753,340,829,878,846,063,461,336,958,011,938,189,988,
489,569,186,885,532,002,950,258,266,397,065,353,439,128,552,682,539,829,316,
884,311,004,796,485,723,769,552,374,861,557,652,342,628,329,560,371,304,247,
887,792,567,394,917,656,642,701,851,767,055,353,656,564,609,619,447,683,357,
760,088,870,186,137,085,895,828,428,741,092,622,774,195,370,834,531,684,780,
111,425,637,137,454,328,255,615,975,663,184,830,437,739,870,951,632,359,769,
804,061,929,793,794,840,996,337,334,385,152,988,676,241,310,133,560,817,019,
016,953,872,515,114,642,337,792,755,454,023,543,923,663,922,929,706,488,420,
999,588,504,489,297,544,535,828,078,303,720,437,995,796,630,951,028,247,727,
369,352,152,247,606,816,536,284,603,082,743,738,419,527,517,650,864,417,568,
119,977,820,061,327,079,754,117,337,986,215,624,329,984,378,685,180,970,653,
792,676,592,545,020,583,865,306,113,962,309,381,145,841,664,872,013,644,549,
243,536,054,361,117,047,283,071,022,780,368,754,094,582,850,737,613,682,823,
487,798,085,766,965,701,195,036,545,444,610,656,485,013,138,521,027,488,380,
611,975,164,672,594,878,022,526,158,309,194,677,701,753,333,968,643,374,149,
271,596,228,354,087,546,924,943,285,030,500,186,107,325,856,998,465,464,844,
989,705,399,642,210,564,696,287,145,023,307,930,924,277,659,050,389,023,702,
001,241,870,627,001,869,950,027,640,535,397,461,160,590,023,274,849,152,183,
674,239,062,793,085,894,242,971,471,082,306,975,129,779,819,958,253,399,577,
262,279,880,287,036,849,910,286,322,447,174,031,575,978,668,411,561,182,550,
290,960,636,902,116,721,501,617,676,707,594,723,970,976,694,728,302,345,327,
738,110,627,022,881,107,952,929,628,341,655,870,537,389,444,644,524,228,286,
929,049,488,802,985,110,757,588,032,538,799,080,091,812,427,066,214,389,432,
333,890,919,116,435,420,963,651,114,150,053,429,239,776,070,167,681,886,079,
537,724,882,003,628,392,250,073,476,804,088,098,683,643,796,257,630,187,809,
237,943,546,803,062,231,381,425,074,366,959,601,812,004,172,662,746,635,994,
334,011,361,026,913,253,437,344,382,159,017,861,647,724,074,754,590,168,174,
176,427,453,309,195,686,524,812,164,698,923,478,523,980,396,082,834,911,526,
997,201,543,091,922,442,704,909,019,557,655,705,725,592,061,523,636,019,889,
205,621,578,968,320,478,200,009,562,686,579,258,331,922,617,900,398,934,943,
769,232,280,727,862,923,550,064,230,212,876,378,555,134,618,269,953,418,786,
796,539,638,966,371,082,896,646,207,755,372,439,935,059,669,507,864,622,994,
792,049,769,229,675,658,954,064,636,233,829,915,118,162,133,275,873,275,103,
666,072,236,879,536,265,439,372,028,828,900,799,800,409,792,823,955,634,580,
266,339,962,061,877,913,336,067,295,558,832,513,329,334,674,471,254,526,682,
417,321,700,780,681,510,041,688,850,588,137,697,588,766,456,468,827,274,504,
088,999,550,223,999,020,425,445,940,029,897,199,549,797,601,221,152,560,676,
782,580,716,574,663,527,106,436,234,993,635,843,110,683,772,776,253,975,832,
395,276,280,252,261,745,886,242,085,300,669,168,810,084,129,891,160,408,709,
931,631,022,392,520,731,762,831,721,350,015,265,731,501,649,079,204,579,534,
315,514,328,079,277,669,897,156,471,727,981,695,821,352,158,805,973,501,585,
537,550,531,924,649,629,702,971,471,192,749,288,713,104,444,261,757,561,561,
211,328,657,168,081,321,770,324,524,947,452,571,735,313,910,755,130,123,854,
424,211,443,893,220,862,233,489,745,231,457,981,103,972,821,361,673,419,385,
225,402,487,490,565,823,693,070,697,811,060,851,411,936,326,235,810,750,339,
515,345,117,595,492,981,947,649,787,745,951,011,497,865,863,244,424,357,457,
078,347,210,169,211,959,363,459,333,964,614,765,868,311,853,132,043,230,203,
022,076,722,967,965,010,057,583,840,088,474,131,245,351,952,165,853,298,950,
824,804,473,160,907,470,361,096,779,210,913,978,502,587,545,108,208,428,091,
693,866,389,798,334,762,192,426,787,748,343,427,731,112,251,424,363,229,619,
440,820,418,219,184,942,783,980,275,819,512,998,552,423,670,474,316,903,803,
128,516,780,567,206,085,970,029,788,590,495,568,324,204,554,785,428,425,140,
036,538,662,126,132,654,771,803,419,401,431,915,482,097,294,688,775,970,671,
472,378,858,354,573,239,886,623,632,295,265,172,126,652,819,533,598,257,931,
054,477,147,194,900,769,810,953,781,601,157,422,270,587,715,509,689,989,657,
204,282,868,604,659,946,521,772,359,392,024,542,378,817,714,851,128,239,777,
967,649,450,935,947,252,166,889,792,739,045,803,003,484,354,510,354,738,994,
154,792,196,253,072,649,473,130,102,438,219,322,488,232,932,955,453,573,637,
549,685,892,482,003,677,926,513,961,415,887,319,346,234,988,650,726,563,695,
377,421,923,503,302,488,950,255,119,504,376,072,766,645,705,447,907,138,276,
824,502,799,987,189,216,667,176,452,205,101,734,973,821,102,838,413,074,059,
639,850,697,536,877,122,526,673,108,088,164,021,206,798,447,777,483,923,966,
823,968,489,082,347,485,514,205,327,655,674,352,585,852,038,845,905,087,005,
625,492,878,516,490,264,741,858,802,931,943,350,667,999,175,518,846,779,380,
670,952,335,812,157,028,793,742,871,023,623,148,272,204,960,172,969,158,154,
617,094,877,153,190,391,234,462,873,961,231,574,443,877,250,895,395,225,959,
868,385,133,187,775,477,212,004,608,462,931,289,467,861,927,189,364,645,975,
011,252,903,101,742,519,291,914,000,805,056,703,828,729,672,867,357,641,919,
646,109,099,807,526,505,903,305,753,625,989,240,393,030,530,276,951,049,274,
553,435,110,295,571,009,026,634,391,674,218,729,968,859,480,478,327,650,459,
812,509,882,286,967,928,145,454,797,408,751,372,214,458,358,945,547,736,161,
314,613,849,523,462,865,957,099,579,390,865,274,237,335,091,556,186,647,697,
448,632,151,632,649,953,368,580,083,680,805,696,255,795,594,896,996,083,127,
531,809,521,573,110,533,847,817,694,811,668,672,100,172,265,601,207,528,736,
208,990,012,535,360,988,104,117,319,350,087,269,228,060,038,110,140,524,535,
513,786,330,492,686,524,164,541,543,736,065,239,999,687,447,529,053,098,411,
708,764,566,229,823,499,826,828,409,334,281,088,690,542,372,410,663,618,122,
617,880,349,528,668,801,545,859,692,651,025,114,577,673,453,060,802,554,398,
715,620,133,667,574,995,480,921,188,247,840,694,097,882,380,248,449,905,425,
071,002,808,003,889,495,228,907,953,230,325,497,943,921,192,416,798,285,935,
468,775,929,111,734,069,420,377,813,987,730,569,327,256,276,508,617,939,642,
979,958,690,153,480,565,759,704,477,927,886,106,670,871,201,148,735,132,258,
874,851,681,727,058,381,418,694,026,744,749,644,844,859,283,681,665,502,565,
247,430,454,372,714,189,466,582,699,112,916,020,446,114,467,064,347,727,820,
913,272,398,662,318,260,574,822,042,354,884,176,212,598,311,225,908,212,928,
437,212,156,237,261,988,254,034,071,875,226,372,888,097,911,374,992,767,193,
208,359,304,883,275,607,447,702,731,324,864,236,641,941,338,789,713,273,024,
031,776,925,296,609,500,409,679,053,283,126,534,570,452,782,561,741,602,801,
826,266,978,162,152,285,707,144,229,667,444,660,412,318,141,783,720,788,688,
293,421,824,041,990,143,114,948,971,590,615,460,586,910,442,464,403,202,664,
765,135,519,399,982,338,578,175,427,704,478,056,103,649,502,234,049,903,491,
959,923,309,080,275,895,252,543,739,442,639,133,005,177,495,217,991,684,705,
576,218,782,541,111,557,981,575,590,740,657,372,192,084,708,223,805,491,675,
639,282,193,024,609,209,077,400,265,509,659,558,884,402,339,580,175,067,834,
948,622,678,169,084,726,155,821,039,797,016,603,691,588,250,384,629,845,837,
598,384,800,834,959,934,843,296,655,641,003,989,588,782,920,272,312,839,401,
637,055,893,014,638,609,080,165,265,013,680,896,520,145,443,974,912,089,217,
775,450,698,621,752,862,990,821,681,579,779,708,377,312,168,013,305,622,139,
925,239,509,249,081,470,150,703,462,532,272,472,049,563,836,713,791,454,328,
062,630,794,345,794,436,871,795,058,789,697,902,200,607,167,549,175,428,819,
377,139,654,297,314,747,715,482,159,790,341,222,451,733,225,249,730,687,248,
412,194,267,108,058,248,012,066,336,382,686,517,627,383,930,709,528,170,784,
222,172,118,155,556,294,338,206,839,801,416,878,755,234,236,467,011,016,960,
030,377,961,296,567,590,531,595,367,775,877,177,809,464,291,949,044,896,040,
332,466,479,704,879,296,029,534,149,136,113,718,521,888,425,804,440,409,889,
275,462,826,349,871,128,502,625,710,165,608,952,369,468,464,333,063,459,021,
026,823,572,903,798,777,706,305,736,560,840,002,472,257,968,067,359,030,236,
340,597,931,538,877,012,595,221,279,030,673,823,578,987,579,696,987,570,828,
129,010,026,247,220,619,221,488,953,992,918,090,326,366,800,039,998,381,544,
639,944,501,369,813,839,501,410,636,320,451,195,056,965,999,737,570,162,829,
125,732,475,786,695,809,988,519,890,012,356,607,400,788,884,297,094,350,532,
257,186,436,474,285,244,844,309,793,275,769,643,757,613,247,451,526,695,691,
509,910,235,071,402,504,630,461,822,028,658,943,944,526,800,041,569,139,664,
701,312,051,076,030,303,142,944,834,608,728,435,965,090,660,847,167,326,172,
503,125,325,133,923,990,311,712,751,086,529,513,522,696,398,782,714,529,000,
044,637,980,774,750,392,998,304,289,885,608,614,991,138,326,124,969,536,727,
815,557,069,307,078,231,407,686,020,507,957,523,124,113,534,599,401,775,098,
816,747,652,495,091,514,955,047,056,990,400,556,628,477,578,830,193,317,205,
386,906,966,988,116,201,943,577,081,839,978,315,130,761,426,520,387,396,273,
579,866,589,438,698,240,505,512,449,115,096,782,549,542,340,951,698,349,987,
472,876,555,905,175,107,402,963,278,673,715,063,604,448,812,616,732,328,125,
131,098,621,977,078,433,712,140,963,793,957,084,975,193,933,576,256,632,228,
320,185,590,342,776,438,073,115,778,161,657,581,135,941,363,075,703,172,526,
460,869,010,425,056,177,841,251,658,143,223,446,192,279,306,648,416,694,150,
811,710,896,210,146,565,595,238,818,463,883,242,387,204,564,100,211,789,255,
944,738,939,270,470,247,505,427,772,029,720,927,748,764,937,437,745,968,442,
281,433,693,877,150,423,848,746,332,830,347,293,619,737,695,980,643,156,416,
037,935,451,349,791,710,092,261,823,504,874,228,843,685,398,119,068,423,327,
178,109,046,593,504,137,368,198,111,237,649,154,207,576,160,458,256,918,786,
158,816,676,084,229,106,514,501,048,516,369,276,758,773,543,646,951,008,002,
859,827,234,524,044,721,100,077,170,490,466,681,991,875,795,171,213,248,204,
395,348,909,734,637,495,773,873,666,841,030,805,944,856,843,845,611,638,698,
482,857,927,871,997,714,727,709,006,206,662,487,165,591,721,853,043,390,867,
983,723,975,232,079,426,375,514,181,549,544,754,765,693,116,003,992,790,937,
401,496,019,625,661,973,073,007,857,115,293,041,763,376,544,798,351,473,446,
315,341,329,590,288,497,872,647,217,868,285,283,806,694,332,346,567,751,434,
514,102,435,335,940,222,176,752,091,406,339,203,310,454,763,454,561,716,555,
089,370,809,999,445,098,511,163,432,989,417,704,957,797,717,503,063,947,993,
276,667,151,267,948,683,705,163,663,286,629,057,255,268,488,965,996,189,728,
148,935,563,521,940,142,016,769,519,543,883,163,442,142,796,610,395,820,470,
246,086,508,363,199,114,077,976,929,211,766,717,289,789,412,038,964,039,615,
933,195,413,795,029,707,778,292,516,907,325,969,748,427,287,616,297,936,929,
233,804,322,628,202,178,089,967,032,392,303,345,339,413,416,093,023,097,079,
214,165,980,941,316,235,751,893,011,217,247,443,373,711,593,107,321,864,082,
042,928,365,463,665,809,011,711,276,182,176,796,066,961,937,950,428,396,376,
806,799,112,331,313,280,106,989,178,331,522,620,072,712,318,897,360,899,315,
198,337,365,552,894,338,802,144,745,472,956,678,248,187,847,747,128,313,110,
932,380,299,996,770,940,192,454,068,370,505,211,026,442,531,567,522,437,742,
234,274,905,356,232,968,432,121,985,977,393,891,935,829,295,870,976,976,998,
474,970,634,513,631,510,724,170,611,731,473,037,868,523,182,837,676,464,495,
428,479,919,136,104,103,674,511,213,230,345,600,763,045,777,523,685,225,779,
023,470,723,226,787,782,573,467,971,410,053,100,617,851,810,434,748,379,826,
983,038,313,538,206,213,800,856,169,463,106,680,622,279,123,893,978,268,383,
939,660,959,507,287,039,661,930,943,261,949,354,442,957,643,520,164,260,092,
728,099,658,715,700,874,165,786,230,598,237,994,300,932,460,618,593,420,298,
650,195,263,264,143,504,460,088,745,038,760,828,319,170,668,597,333,124,622,
561,238,221,462,397,685,496,957,146,129,144,675,196,395,374,426,422,299,227,
939,406,063,367,989,975,594,901,413,852,989,993,605,793,812,864,687,601,105,
092,886,884,243,284,636,326,174,999,852,834,867,072,440,750,658,355,310,265,
801,009,481,308,877,793,770,971,008,505,007,914,741,461,216,603,171,748,914,
926,264,467,930,715,783,662,719,589,352,166,726,747,792,845,489,296,212,405,
148,915,847,133,868,309,621,875,127,826,979,701,697,849,384,006,472,976,407,
650,335,088,555,895,954,070,457,923,018,693,057,525,641,904,341,972,400,281,
354,174,106,525,448,151,702,895,850,000,187,611,580,968,715,287,295,500,760,
237,151,618,603,586,771,513,792,441,066,680,622,514,238,903,054,602,871,822,
122,461,905,659,958,188,591,081,881,111,266,880,628,818,673,954,036,961,083,
897,796,207,344,111,400,081,487,786,616,463,560,411,809,712,099,155,372,758,
040,825,354,954,198,291,699,844,157,574,281,194,950,689,516,808,521,819,707,
902,846,741,563,796,892,168,488,501,830,859,791,217,053,860,535,607,497,038,
701,933,084,491,951,783,531,893,607,376,993,738,768,378,347,242,767,444,407,
196,159,102,558,840,704,345,584,254,541,555,630,439,896,473,651,216,421,946,
529,598,202,875,478,225,178,375,626,704,303,981,103,204,827,570,740,405,774,
669,226,698,049,184,534,023,999,553,267,652,595,553,425,579,461,583,716,847,
738,791,227,865,605,473,771,647,376,679,101,850,026,567,934,631,482,134,521,
090,795,485,447,870,567,655,338,088,721,253,487,044,949,798,074,464,142,036,
458,365,027,196,675,037,140,906,562,930,839,090,128,163,527,404,116,340,858,
255,897,411,530,352,753,033,390,533,575,857,864,591,961,437,388,182,654,140,
482,981,261,888,881,721,892,065,673,873,877,986,678,675,763,307,786,310,394,
946,310,032,599,338,602,436,320,396,615,528,673,949,380,982,095,898,883,429,
811,595,214,246,006,282,936,664,649,380,414,673,423,534,176,622,356,244,059,
890,604,332,627,649,001,504,001,928,256,231,552,021,329,261,650,329,750,481,
977,089,447,483,034,408,299,296,301,624,277,084,349,767,752,251,270,286,757,
716,646,070,939,074,009,668,583,222,239,362,384,591,557,179,566,293,969,207,
911,716,425,624,880,953,135,141,803,050,520,891,000,933,462,438,952,756,300,
312,627,419,693,281,751,647,774,564,920,259,193,300,143,309,318,700,014,498,
255,687,337,523,132,720,383,585,370,845,142,935,444,484,057,350,069,024,669,
871,130,428,158,285,902,823,089,996,401,369,421,949,655,081,800,086,297,705,
728,365,800,505,373,211,925,772,670,968,934,392,568,750,007,810,287,711,801,
696,112,968,611,836,773,912,568,141,685,244,998,730,898,381,640,778,940,676,
801,115,975,181,040,432,156,375,635,253,129,518,090,311,951,242,811,659,571,
259,861,064,747,229,802,794,617,299,553,843,531,023,936,674,448,538,164,846,
090,936,446,918,930,982,400,912,496,012,518,573,641,204,695,083,055,524,180,
572,193,413,536,545,770,253,121,232,683,021,395,435,343,826,501,781,710,327,
995,397,439,575,439,026,325,468,744,303,933,249,113,762,882,202,195,368,549,
447,649,931,710,440,893,223,485,553,174,091,959,641,571,091,124,786,429,028,
787,121,284,690,912,880,767,842,797,367,142,825,253,891,390,214,415,940,149,
064,208,256,869,919,921,606,429,163,207,337,130,699,866,966,010,929,629,937,
318,036,302,044,259,265,956,088,256,724,341,212,049,681,398,476,553,366,151,
226,103,040,517,832,078,383,680,415,578,943,722,396,162,976,426,949,503,508,
542,359,341,676,723,838,393,608,510,032,440,256,540,240,263,392,689,181,842,
163,849,329,018,913,876,215,838,849,722,800,721,890,680,836,694,021,157,443,
677,098,639,076,096,192,274,678,724,033,962,707,970,727,041,037,690,028,837,
945,885,998,998,590,968,747,770,767,182,156,009,363,783,931,856,968,806,785,
629,700,095,202,106,872,981,553,736,767,993,690,488,604,448,033,015,895,502,
921,874,961,452,390,670,489,539,803,124,462,097,716,460,825,580,200,851,863,
692,497,302,521,162,513,280,876,398,907,038,964,632,998,271,060,738,115,125,
140,654,726,603,686,260,114,875,161,082,833,557,368,095,573,794,949,477,805,
500,020,016,428,595,275,771,857,465,726,394,999,668,058,267,736,953,607,370,
489,971,563,164,094,010,188,425,517,637,695,303,027,048,201,114,890,504,916,
840,770,160,902,380,040,921,870,012,637,939,921,860,499,606,629,044,719,232,
323,800,290,767,284,931,114,120,958,666,224,703,483,799,459,091,928,084,580,
470,690,970,093,548,008,459,981,008,772,468,611,846,620,290,351,048,623,370,
092,191,191,149,655,216,981,834,015,866,300,612,437,386,632,351,712,630,715,
843,210,909,603,385,811,075,005,583,570,544,892,726,001,871,751,328,411,546,
390,764,593,475,460,278,549,797,117,231,305,493,730,918,459,337,968,431,199,
998,549,266,353,475,785,367,414,337,785,625,628,384,449,400,732,452,986,005,
355,642,369,962,964,104,738,175,679,634,318,395,853,364,276,584,115,547,954,
882,701,864,078,469,366,472,594,399,362,799,171,128,512,998,935,487,884,963,
205,193,470,838,356,560,056,243,684,609,044,151,905,120,292,536,258,720,292,
878,852,381,056,421,400,540,831,761,131,187,017,755,689,174,280,647,543,884,
276,352,541,576,246,915,864,652,633,214,442,887,932,461,007,194,033,817,957,
828,343,666,708,354,488,381,834,730,773,471,002,072,336,112,738,512,512,148,
601,490,064,810,466,250,743,782,248,938,888,973,054,354,279,349,236,649,788,
545,256,902,857,113,286,859,436,136,024,879,759,001,338,521,430,961,556,708,
478,201,690,774,332,030,939,338,661,627,006,786,247,612,665,493,953,479,000,
497,437,361,172,224,160,301,199,623,638,975,490,017,115,638,159,597,730,250,
660,496,365,164,757,772,582,652,897,295,460,526,469,412,893,688,069,477,265,
604,696,175,653,285,305,307,366,433,586,684,645,704,228,373,963,750,936,891,
608,504,953,898,860,472,835,895,033,845,113,252,761,732,825,787,215,152,385,
308,776,947,735,640,136,860,084,338,976,075,738,391,939,130,176,805,054,081,
124,893,705,149,496,291,611,608,802,575,123,309,175,184,680,873,895,454,238,
055,031,202,969,745,437,993,786,934,490,984,309,208,608,654,277,709,030,403,
836,243,233,096,943,243,751,865,116,555,709,524,675,967,491,166,778,730,040,
399,201,609,027,478,785,719,824,685,149,882,335,938,786,914,377,919,375,734,
094,685,376,246,943,763,089,582,482,916,656,923,839,628,420,926,042,254,238,
155,983,382,376,249,038,364,799,843,906,867,810,945,151,109,238,818,124,771,
967,340,144,231,457,407,956,054,831,131,032,714,410,911,310,433,830,785,806,
935,937,867,813,737,641,983,446,736,818,313,443,194,971,652,645,190,453,226,
805,222,577,646,257,075,418,713,288,896,009,974,105,103,511,635,947,975,759,
602,573,184,447,903,929,629,585,919,030,621,066,801,618,522,749,841,409,409,
134,032,481,594,622,539,316,076,816,217,923,527,006,421,416,867,273,254,834,
181,049,426,210,014,626,508,964,080,938,550,275,060,818,785,007,979,784,630,
588,011,790,442,355,448,849,230,978,584,257,578,682,341,684,988,713,061,403,
318,481,720,091,782,745,793,713,067,690,971,981,224,007,137,764,453,482,624,
471,070,372,256,507,205,568,675,426,062,540,802,642,868,995,009,321,157,418,
246,072,638,373,296,402,866,870,537,962,381,246,422,557,711,708,555,632,421,
954,221,024,243,192,513,676,300,424,878,006,052,292,445,879,656,860,419,620,
382,023,827,628,736,048,295,730,216,093,194,925,119,588,418,623,973,049,839,
234,099,873,271,197,380,761,592,718,470,708,177,504,966,231,240,628,428,411,
103,183,556,938,438,397,290,869,864,292,736,400,869,839,919,037,318,881,980,
829,595,219,515,476,645,546,985,142,238,060,005,641,425,237,506,729,957,120,
052,975,043,213,674,623,608,107,390,697,913,746,797,852,725,621,855,981,524,
679,272,777,137,902,672,181,082,501,814,747,673,688,449,589,287,965,056,894,
360,732,056,338,865,251,143,235,241,029,857,893,828,631,676,148,493,944,309,
626,535,198,349,697,790,005,668,984,444,514,190,387,842,866,626,279,774,242,
952,090,117,795,586,688,087,525,187,517,926,200,356,533,706,310,235,321,128,
706,929,821,722,690,715,132,164,251,147,700,022,566,460,299,276,592,362,515,
445,466,477,649,511,528,194,771,426,798,312,236,775,368,899,229,778,536,565,
895,208,591,649,058,664,111,031,583,191,477,423,924,202,088,511,207,934,632,
049,366,120,915,429,417,804,775,826,159,519,954,828,966,343,654,007,974,781,
329,204,251,656,420,132,053,035,139,900,511,358,326,273,122,554,415,350,240,
489,861,761,324,526,994,596,741,439,607,364,747,882,971,479,097,210,653,102,
376,154,710,740,747,180,711,911,023,865,361,117,633,029,967,534,624,916,056,
826,591,434,147,345,802,025,451,995,812,378,555,434,760,270,515,033,630,843,
924,268,510,242,196,051,245,248,163,548,575,039,826,943,326,295,402,583,754,
173,202,803,690,249,659,891,999,557,040,139,263,238,490,207,550,068,755,170,
712,230,832,722,906,876,767,590,004,163,108,000,029,572,649,874,078,557,511,
973,888,533,913,148,333,195,452,819,669,029,739,749,768,078,575,038,616,939,
848,154,588,813,695,497,363,017,437,287,228,460,523,514,517,870,342,206,660,
750,281,684,977,145,168,693,244,710,215,287,918,275,721,352,790,919,791,291,
628,987,120,328,047,251,335,700,850,374,137,051,771,271,496,860,966,995,985,
054,416,955,714,628,717,691,390,750,865,924,856,670,863,548,949,812,554,822,
249,352,350,108,204,252,923,508,390,062,438,936,282,315,503,416,959,469,571,
222,233,328,175,203,359,169,674,199,433,936,867,562,982,263,425,601,658,744,
515,042,203,895,736,157,819,941,416,010,710,990,780,021,248,529,730,715,782,
602,283,495,083,528,338,360,064,177,102,341,566,183,017,861,366,045,056,038,
742,045,722,370,658,132,818,602,924,398,061,660,218,105,823,296,563,242,700,
158,285,157,366,304,302,766,851,855,395,525,570,347,655,971,761,442,755,934,
951,941,852,060,838,593,836,619,895,524,815,055,515,072,194,887,784,742,511,
184,010,730,121,262,612,076,138,545,990,482,070,290,476,118,569,321,002,947,
982,366,430,938,918,918,921,191,582,079,374,862,793,371,305,160,248,463,718,
087,246,494,492,618,860,794,100,743,119,769,538,493,062,417,378,087,783,553,
331,175,797,289,800,918,377,008,029,120,422,850,886,084,054,215,314,149,270,
778,787,707,909,396,637,078,472,752,150,458,388,064,619,396,808,295,343,729,
854,765,578,611,018,310,886,739,497,129,667,170,186,889,766,850,733,976,358,
637,916,709,930,255,780,223,927,745,109,660,586,145,764,606,496,934,643,150,
346,566,912,353,126,173,837,100,096,781,864,152,956,679,944,158,628,855,234,
261,164,180,525,771,234,174,658,736,763,185,054,216,698,191,943,097,253,227,
706,165,235,730,286,393,817,714,069,287,343,871,006,006,634,925,793,705,942,
277,842,256,320,367,323,392,556,570,816,460,084,862,956,952,552,755,195,464,
330,756,901,412,316,375,582,449,759,997,326,541,128,862,502,546,061,657,227,
251,232,744,141,851,256,224,319,000,505,833,793,460,985,441,551,461,922,751,
153,186,269,442,925,546,969,274,119,159,721,364,577,236,933,273,560,487,311,
079,615,102,097,498,369,863,519,405,591,240,992,805,281,694,107,357,676,290,
535,758,905,403,315,382,455,728,619,742,669,461,447,380,418,339,681,909,336,
213,540,776,821,371,406,279,294,411,259,598,369,098,957,648,382,074,732,398,
638,472,735,804,763,004,600,308,523,600,047,788,154,905,555,492,774,369,703,
226,714,939,694,143,449,517,620,245,684,849,148,983,895,845,075,393,045,369,
184,052,044,330,911,411,416,572,558,374,695,871,475,944,819,046,241,405,769,
698,540,661,528,336,203,427,463,575,962,107,699,714,485,879,414,648,790,434,
471,475,008,328,919,431,309,017,977,374,433,031,400,713,175,081,206,409,637,
428,577,547,929,246,273,217,172,986,098,857,217,931,700,039,157,360,044,916,
539,917,110,249,250,605,929,700,319,135,489,166,549,281,845,929,301,735,869,
680,044,192,962,275,045,650,122,254,268,009,956,440,333,325,435,741,328,638,
315,737,400,911,984,016,359,424,177,975,344,748,101,597,575,553,399,447,641,
128,925,214,712,364,591,603,336,027,184,409,033,711,383,520,382,137,571,898,
832,555,083,422,463,996,002,059,950,586,944,490,906,562,671,553,601,330,241,
301,220,023,938,355,634,384,816,313,271,729,001,223,402,692,698,421,390,638,
260,604,005,175,513,295,905,793,880,918,408,437,640,038,614,772,598,375,448,
858,097,244,520,607,743,524,446,818,114,012,669,512,020,332,263,512,869,382,
163,225,466,562,376,621,864,013,274,699,993,166,531,037,942,267,608,611,476,
502,389,525,403,023,036,896,037,681,779,465,424,803,366,376,784,961,978,856,
495,534,006,000,665,918,997,252,408,790,185,704,491,496,447,031,420,184,302,
670,026,984,844,432,089,244,582,535,581,022,948,845,184,343,264,000,260,177,
191,964,050,327,661,483,817,952,376,970,894,073,477,842,675,105,703,454,616,
691,876,664,810,044,174,669,164,775,173,579,293,323,622,298,874,543,427,798,
837,052,861,121,742,087,318,257,084,272,053,642,659,968,424,681,549,113,149,
614,102,282,395,614,937,379,082,592,286,325,391,201,622,849,101,817,167,411,
624,956,506,512,128,795,391,475,879,344,151,468,517,533,636,620,498,601,783,
453,221,644,925,777,362,779,315,825,456,019,522,071,722,539,419,122,272,588,
941,233,652,425,603,430,418,518,816,792,272,673,216,203,364,610,216,853,159,
066,539,453,313,832,388,819,738,499,056,406,607,802,276,231,308,098,692,518,
844,722,640,051,731,899,960,234,164,896,718,394,427,475,315,991,943,191,497,
896,336,346,651,950,845,511,446,027,559,515,512,811,265,508,908,729,995,755,
268,732,874,755,189,135,517,521,496,845,412,020,223,590,484,674,946,396,821,
984,421,615,120,817,997,626,451,777,289,270,634,851,113,742,578,835,932,290,
021,034,009,468,729,314,335,556,091,530,251,344,374,370,755,526,973,730,379,
776,978,360,565,936,748,762,760,526,568,749,184,076,671,369,890,595,634,767,
415,802,695,013,451,471,811,142,355,183,502,116,547,440,915,514,662,021,383,
692,124,772,598,044,278,064,486,981,750,391,381,369,451,895,614,582,783,799,
996,856,275,487,471,446,633,741,921,906,463,461,446,862,930,690,427,306,423,
402,643,076,424,044,792,447,886,493,501,849,988,590,332,071,498,891,924,311,
460,272,457,650,095,192,421,098,878,028,861,966,326,481,004,462,043,137,783,
489,490,035,763,778,444,158,581,996,837,732,602,496,706,343,007,513,493,951,
846,663,627,293,522,976,704,264,867,949,636,045,432,775,983,192,837,012,840,
424,879,957,725,627,921,328,798,361,404,438,528,795,623,127,749,681,749,720,
792,906,482,650,479,419,343,836,126,808,780,404,952,697,241,985,588,628,859,
838,664,339,879,710,071,473,460,038,869,548,752,428,418,268,962,672,858,214,
070,461,031,795,861,747,769,983,808,216,631,248,245,236,532,115,059,868,271,
178,009,953,324,234,760,435,238,631,022,494,562,223,465,210,422,797,279,053,
180,241,317,114,205,184,435,897,460,816,421,608,529,607,687,670,472,375,851,
665,450,533,355,140,684,763,185,110,986,826,030,001,498,747,160,484,494,726,
410,088,228,920,689,800,479,855,289,082,451,999,772,860,971,437,241,874,367,
372,422,794,294,464,938,386,879,012,665,122,868,733,348,070,567,958,035,179,
036,030,172,759,773,656,243,296,560,363,313,267,594,411,600,913,693,910,964,
067,226,195,529,994,651,910,872,955,703,376,988,593,446,523,954,272,717,441,
723,464,119,430,136,403,970,322,265,786,768,667,646,568,243,296,976,060,863,
458,103,656,690,019,509,567,961,194,893,379,201,957,658,495,967,895,986,668,
416,696,724,569,426,401,310,781,573,227,984,719,244,006,887,152,825,196,906,
826,642,040,620,923,238,808,675,260,627,173,639,740,085,066,552,874,729,311,
371,306,725,424,127,446,142,225,123,545,491,892,240,323,269,773,646,744,312,
022,608,557,764,797,956,917,192,270,930,454,800,014,806,577,922,110,485,088,
462,493,727,493,046,850,905,030,004,428,142,032,037,754,320,692,225,031,606,
459,222,560,324,897,235,709,221,565,319,277,386,345,012,605,013,792,131,362,
667,665,904,533,486,789,324,495,401,051,834,211,739,069,186,132,121,564,210,
585,340,671,241,368,424,819,846,137,213,386,586,348,719,748,371,224,394,299,
046,901,287,851,375,800,640,473,117,949,971,780,626,294,063,551,945,557,866,
601,618,324,476,141,877,274,503,054,207,909,184,279,290,479,308,181,911,560,
273,189,906,521,576,129,167,884,167,184,604,523,492,431,655,253,200,421,811,
146,699,254,415,945,136,447,325,322,546,435,239,863,516,318,681,208,682,019,
668,846,008,928,112,350,941,106,415,174,529,880,814,473,610,075,879,181,538,
960,883,528,525,154,961,613,955,641,699,033,735,840,415,436,784,543,822,880,
459,865,418,504,608,575,864,813,711,450,551,221,958,281,596,402,499,385,247,
793,365,267,050,162,880,029,569,519,799,557,038,986,902,444,331,003,228,605,
472,122,809,880,061,309,319,474,955,837,406,937,033,826,215,307,545,439,955,
769,822,337,150,188,409,710,564,617,701,776,853,262,113,741,013,634,157,386,
484,878,116,227,734,059,797,841,384,884,048,661,169,728,874,077,994,343,160,
839,379,898,323,900,661,695,561,440,904,212,257,176,884,073,302,480,684,289,
048,536,460,278,783,326,466,910,852,078,226,884,643,584,098,739,971,608,937,
503,164,868,328,053,115,874,668,633,854,351,282,811,099,896,068,226,536,982,
093,777,784,675,519,671,231,146,604,582,898,834,127,068,182,203,036,229,704,
172,592,516,964,711,072,703,020,362,647,597,270,462,172,944,986,566,523,630,
998,609,077,996,357,629,917,511,222,725,626,188,475,304,829,105,217,976,768,
067,643,576,469,134,807,247,766,189,706,425,654,884,545,496,185,073,221,681,
621,334,968,705,155,144,551,245,284,690,577,843,551,914,609,004,478,304,708,
408,737,576,826,421,383,156,025,725,739,039,877,897,957,616,798,446,376,353,
569,606,195,013,994,960,003,397,561,232,093,110,574,367,534,009,939,502,655,
649,485,418,971,168,279,838,525,624,051,161,850,453,740,345,342,413,702,396,
203,103,826,704,620,588,361,609,541,345,524,234,582,100,461,499,778,679,168,
466,797,231,749,389,963,412,878,729,359,365,999,676,582,360,349,377,350,089,
263,246,455,663,797,811,276,274,483,287,296,788,549,499,133,682,781,287,720,
377,202,711,012,340,877,068,938,571,159,525,547,803,346,684,520,820,796,120,
355,655,056,957,635,191,848,673,475,685,278,070,249,479,415,418,105,459,950,
301,045,339,085,401,002,125,064,321,122,297,900,447,632,211,365,105,388,671,
712,198,850,529,799,766,153,019,116,599,490,013,905,801,893,507,343,243,238,
368,129,696,083,603,620,502,879,644,235,529,423,932,419,524,240,930,374,490,
568,179,829,036,451,157,693,376,241,515,070,113,684,853,987,653,175,665,685,
025,451,439,625,622,191,359,959,800,591,509,865,329,896,592,702,058,732,710,
604,699,450,388,498,503,446,709,797,371,288,913,031,655,544,478,284,782,713,
830,048,924,840,526,450,824,448,530,062,666,306,861,573,148,139,232,760,823,
058,660,173,123,001,564,998,644,536,478,018,570,691,783,193,757,193,989,427,
683,778,425,335,221,522,089,286,564,955,314,955,761,174,557,352,900,253,855,
524,808,152,742,593,738,180,320,925,915,404,252,877,040,945,315,196,952,126,
452,642,706,964,751,277,392,871,782,791,564,086,887,306,699,792,447,042,690,
210,295,457,613,222,390,287,718,522,339,391,281,422,096,412,423,620,193,664,
133,888,125,432,601,211,505,161,505,868,339,700,879,988,759,026,588,716,922,
691,421,743,789,723,326,760,416,968,832,160,614,629,531,277,467,199,299,716,
063,385,527,943,793,518,337,554,314,434,690,092,812,642,837,818,613,401,295,
213,824,534,658,296,260,947,463,245,203,020,820,954,376,546,198,974,469,821,
873,788,878,530,275,642,542,846,997,564,156,919,713,661,731,339,802,288,030,
232,536,479,564,451,229,302,765,409,593,163,800,874,331,867,643,907,138,780,
569,958,243,736,339,250,018,790,920,742,274,874,645,743,602,550,417,485,938,
814,376,418,127,605,550,468,466,588,720,773,592,657,119,009,165,287,485,172,
942,803,410,375,026,821,681,108,539,097,726,237,672,842,194,780,176,752,302,
081,858,508,869,938,274,155,926,239,181,323,618,087,535,097,624,534,655,782,
978,715,579,756,931,399,135,800,046,414,479,720,383,412,429,083,801,112,371,
204,871,384,572,635,469,162,927,377,396,065,721,426,086,140,794,598,681,036,
715,636,829,783,267,692,432,211,989,370,650,044,830,474,893,893,045,362,077,
769,845,117,447,267,334,741,736,398,786,789,780,118,834,389,228,451,973,001,
121,364,865,563,998,306,572,648,003,514,942,695,539,521,783,354,882,938,476,
147,939,556,612,170,204,688,564,118,382,471,823,848,163,219,458,919,230,450,
293,343,795,724,090,684,980,156,690,951,618,857,493,868,810,176,781,633,315,
919,302,266,809,064,401,801,718,730,595,457,271,181,658,031,964,961,425,654,
802,286,812,037,399,763,205,092,219,017,608,513,086,514,482,433,014,618,923,
074,926,148,732,453,210,534,833,323,894,448,766,424,968,807,676,748,579,851,
565,099,077,037,204,315,662,987,128,714,208,556,403,767,064,464,756,471,926,
575,540,652,804,175,572,818,759,801,385,392,730,390,522,314,117,711,015,915,
588,982,556,301,989,684,087,263,944,088,683,929,645,440,614,945,297,400,453,
718,248,572,691,419,605,021,386,102,782,942,515,245,025,550,121,069,842,347,
446,334,212,769,268,155,319,954,392,818,801,435,054,856,508,528,640,841,610,
391,951,993,495,636,909,456,492,214,918,778,290,741,557,567,215,960,400,530,
072,405,754,016,534,969,381,355,758,115,092,415,621,210,892,342,354,533,966,
330,029,501,109,939,728,750,775,322,820,157,300,835,412,988,011,733,356,675,
582,668,196,905,353,537,855,296,312,579,798,629,300,477,899,282,612,565,400,
898,340,123,644,066,057,069,893,618,260,567,229,860,073,051,966,912,816,284,
209,454,038,697,552,022,210,935,062,165,230,448,754,807,774,321,392,365,277,
915,333,339,041,304,936,133,740,903,644,721,699,477,520,606,738,972,784,583,
504,785,778,570,091,217,443,547,199,876,139,632,165,469,037,650,704,987,474,
134,647,598,595,168,461,890,436,062,726,720,227,217,252,910,074,152,622,383,
602,394,513,308,543,456,705,300,066,374,163,430,128,469,300,122,414,600,450,
303,103,014,429,999,964,421,582,356,967,034,063,070,569,047,169,089,606,083,
134,127,599,880,922,065,312,378,281,372,956,047,549,989,229,046,147,242,483,
703,134,047,199,781,169,349,255,273,801,452,173,886,278,657,982,702,675,197,
107,324,405,542,217,040,834,047,542,198,719,676,860,814,674,814,642,928,588,
034,733,792,247,092,699,531,930,147,927,114,632,809,859,710,045,599,422,709,
852,566,549,828,017,229,150,553,714,485,277,445,184,551,996,743,522,332,327,
788,296,332,783,332,603,369,684,839,779,573,997,769,612,047,036,299,691,165,
400,973,261,699,036,945,430,356,727,517,610,477,821,803,136,872,205,087,988,
266,831,609,714,681,119,176,749,665,788,261,419,073,263,956,025,941,219,379,
802,763,772,002,425,788,042,587,695,011,297,064,157,626,467,624,564,906,326,
022,590,584,358,329,269,895,005,018,953,078,060,039,626,704,770,033,860,799,
925,868,689,571,445,699,939,044,582,302,949,766,421,368,561,812,525,666,063,
642,260,318,918,963,886,099,853,736,794,433,515,532,936,232,485,263,499,048,
398,232,566,956,654,516,983,167,794,600,278,717,344,298,016,815,269,329,098,
162,244,106,583,989,333,188,553,929,503,285,517,148,300,711,542,464,785,702,
954,564,647,626,024,444,944,850,600,152,127,950,966,587,669,580,435,257,939,
416,651,031,800,274,873,275,274,802,032,789,403,570,212,436,943,493,834,404,
843,343,036,848,496,730,923,680,183,935,526,047,384,265,772,012,661,019,168,
770,943,028,505,017,601,151,337,265,905,813,472,205,228,446,330,928,453,257,
695,902,907,157,949,526,777,018,097,400,633,890,465,691,084,126,440,298,245,
285,706,539,629,997,084,029,993,032,445,975,867,998,021,374,465,889,366,536,
663,928,356,936,792,648,858,309,497,502,843,859,164,921,488,970,150,281,953,
351,769,639,462,537,999,246,939,482,205,337,749,650,762,408,056,053,581,425,
006,833,102,165,801,874,188,367,183,271,181,307,165,741,423,955,175,169,382,
664,136,489,248,955,842,063,963,000,688,765,261,692,390,231,810,168,213,657,
388,403,032,760,550,393,670,679,443,790,766,167,849,821,568,979,149,060,206,
496,394,028,601,619,898,261,850,020,599,797,966,193,900,916,702,317,407,877,
566,095,231,986,473,681,028,730,830,885,129,102,589,864,476,176,770,570,756,
383,171,222,941,492,839,330,093,303,648,939,016,946,868,111,035,264,296,777,
473,087,296,907,955,734,869,532,328,244,391,942,325,164,123,723,849,810,881,
630,803,473,951,796,551,497,768,099,531,791,754,297,126,952,302,039,051,471,
641,728,117,550,828,480,514,284,870,050,819,255,606,550,381,873,518,162,002,
892,581,459,075,179,827,904,628,766,099,781,343,707,958,887,999,412,558,405,
651,732,972,440,234,983,399,408,393,891,963,698,988,651,144,904,454,442,711,
723,528,218,346,896,626,023,708,825,062,415,311,633,289,313,662,889,279,521,
361,929,929,180,298,331,121,398,588,404,565,063,239,184,875,341,090,348,907,
389,499,656,966,063,567,158,050,743,543,429,058,082,727,523,619,187,680,495,
734,778,568,597,060,551,770,303,669,476,328,276,291,458,559,912,449,041,662,
813,486,682,527,582,069,399,689,115,406,902,296,715,284,441,293,069,236,519,
568,011,519,305,794,713,298,317,428,057,267,908,391,938,144,836,643,316,063,
430,528,618,201,246,274,314,896,767,655,942,382,620,872,695,239,217,825,535,
220,994,664,328,813,658,447,261,856,617,721,660,864,184,895,602,300,117,666,
137,636,141,429,638,738,722,468,384,556,882,581,730,140,962,995,947,849,130,
695,362,139,823,319,833,489,363,054,275,805,939,707,138,433,175,953,723,757,
475,165,053,245,887,157,862,640,591,170,122,435,075,980,137,042,384,618,188,
257,675,480,805,023,959,706,088,440,796,737,213,312,603,329,344,566,524,581,
900,450,710,633,555,841,267,288,441,194,502,725,698,833,396,889,708,377,876,
345,825,838,643,637,211,963,818,620,978,610,210,950,635,499,121,395,236,924,
267,233,324,893,385,433,728,772,466,359,338,021,529,034,864,579,115,437,187,
567,004,459,255,547,545,938,941,999,477,965,057,998,849,241,486,209,964,424,
940,968,867,068,469,764,256,027,501,548,869,851,007,353,922,697,020,386,804,
546,468,821,867,467,510,920,595,316,901,195,726,043,295,183,981,583,785,327,
978,642,407,334,885,551,457,775,060,702,849,385,727,539,228,410,038,733,956,
961,746,782,349,374,321,096,268,437,426,096,682,759,967,508,898,177,949,668,
512,064,781,346,232,552,769,334,938,545,539,581,106,336,698,901,790,656,267,
026,398,795,659,489,983,945,056,211,780,314,768,254,715,677,651,602,983,296,
740,725,948,215,167,794,993,647,578,623,574,938,810,712,362,901,084,449,484,
363,866,375,126,025,915,058,152,115,988,761,884,222,085,121,643,032,575,253,
798,423,843,765,018,299,066,345,287,434,838,209,178,808,572,426,563,256,265,
922,875,918,231,631,632,354,247,653,290,537,320,478,233,353,920,716,134,487,
198,735,922,359,018,374,455,910,000,594,357,372,104,618,470,156,642,406,813,
716,353,389,344,159,461,340,030,267,660,559,965,663,961,286,880,540,469,453,
796,063,180,970,838,764,200,279,022,480,982,295,396,074,873,335,550,446,908,
663,113,533,115,556,222,441,053,465,686,684,695,408,494,175,624,702,516,636,
826,840,896,818,145,947,443,967,985,982,316,739,757,775,511,416,463,768,856,
052,490,471,699,620,018,589,006,392,810,634,816,011,568,295,880,626,319,676,
849,214,660,432,359,194,385,821,288,138,909,028,696,083,344,829,846,660,722,
333,446,911,022,073,282,236,594,346,089,075,803,646,120,470,128,546,957,571,
795,058,169,926,090,077,346,092,641,647,484,483,076,618,149,398,549,910,362,
904,864,454,704,933,757,873,034,298,036,929,845,470,814,658,010,825,368,521,
242,227,118,027,065,363,345,118,154,061,735,574,591,318,084,679,315,778,965,
497,056,752,226,890,161,627,309,767,883,690,759,809,536,989,208,291,640,343,
053,450,528,577,182,813,510,828,492,197,964,181,274,011,841,498,975,889,019,
807,304,150,333,620,110,196,859,738,451,209,165,691,278,346,748,184,515,391,
457,012,809,464,312,589,206,709,871,444,264,887,604,171,924,647,624,082,888,
083,964,982,644,120,039,637,892,987,035,455,608,227,346,514,348,341,365,693,
181,676,923,711,234,827,576,851,864,567,464,670,694,312,058,637,895,160,309,
478,129,594,770,717,567,069,235,315,664,027,057,970,273,591,247,463,729,836,
175,386,508,394,539,495,135,972,598,541,129,830,652,809,023,398,503,562,823,
643,038,093,424,654,163,706,075,088,426,876,970,569,819,570,669,786,945,850,
928,362,203,665,673,901,557,567,268,813,381,708,319,164,726,311,790,460,807,
754,486,008,236,255,605,222,548,817,304,222,188,301,645,802,762,721,388,385,
966,088,700,955,720,358,308,977,115,670,940,381,469,634,369,089,623,025,951,
902,388,933,012,579,867,576,978,951,035,515,330,797,920,390,485,670,633,267,
358,961,996,495,309,898,009,432,820,182,851,216,109,220,081,972,620,959,815,
789,428,348,602,476,365,040,282,267,035,952,715,883,730,152,340,141,979,642,
565,002,464,003,269,539,020,994,212,879,542,962,608,810,752,414,716,484,855,
047,059,067,197,363,788,569,398,378,684,717,659,439,648,462,656,389,847,173,
518,923,769,821,017,444,295,907,249,792,562,363,480,910,514,850,702,699,445,
177,186,823,553,846,190,753,403,975,129,305,222,032,485,292,033,790,991,269,
201,149,218,612,113,941,140,502,672,344,017,388,365,605,035,537,192,821,817,
614,111,606,402,461,187,353,125,513,249,516,118,258,828,043,769,356,872,187,
889,604,692,326,362,522,315,417,800,515,282,565,389,410,119,093,698,018,928,
454,483,809,386,378,658,090,548,782,942,916,567,208,516,312,340,208,400,741,
720,979,189,354,374,602,106,266,684,936,626,110,104,733,755,925,890,524,043,
487,143,739,384,547,866,445,899,307,745,461,845,318,244,609,182,462,446,055,
645,987,866,137,331,296,987,987,240,960,769,958,238,027,979,941,635,151,929,
561,101,028,852,804,658,171,197,615,780,579,081,761,754,364,145,839,640,250,
615,415,334,992,720,385,316,296,904,208,728,374,213,549,503,495,732,936,935,
889,724,627,542,594,896,696,415,627,461,478,978,346,393,915,524,775,796,466,
360,552,550,700,877,496,754,333,482,587,399,643,209,982,527,005,661,571,366,
287,331,739,156,306,880,670,106,627,924,719,857,723,171,631,678,071,155,786,
829,877,437,134,343,176,526,131,307,436,802,867,428,181,623,125,493,476,903,
826,126,465,368,186,330,101,788,509,665,328,636,765,932,956,508,737,978,516,
533,049,402,551,117,319,197,111,911,496,353,251,042,335,159,426,862,524,874,
180,707,145,906,154,099,635,204,797,410,100,070,703,763,906,373,954,571,638,
620,618,747,785,182,173,301,305,476,032,942,256,245,041,721,001,292,819,450,
724,063,871,490,468,180,614,489,797,169,169,429,173,246,491,362,990,859,916,
605,463,709,341,621,292,717,956,127,855,922,413,937,657,973,359,079,636,799,
431,656,491,175,543,283,989,638,423,045,220,424,454,080,521,442,976,843,709,
285,970,150,942,498,196,888,574,171,280,127,529,579,076,842,330,270,124,681,
077,721,809,379,638,375,802,381,299,243,839,325,756,141,097,249,582,241,605,
502,206,347,159,676,517,674,012,219,762,911,820,076,328,487,899,689,698,862,
786,267,303,904,839,229,727,497,878,077,646,293,554,676,813,985,117,488,893,
077,798,916,947,655,534,105,964,976,735,086,950,839,695,805,371,728,981,745,
802,411,783,288,935,253,120,025,718,750,318,050,022,376,518,784,987,103,053,
350,161,484,569,780,713,917,695,123,138,108,788,744,670,200,803,922,961,207,
208,355,568,048,820,876,333,436,383,731,673,443,117,525,254,241,636,436,084,
648,013,471,890,734,366,230,306,719,658,262,460,460,423,575,497,553,730,544,
666,787,505,644,410,047,914,048,663,633,324,490,417,307,449,093,061,473,568,
491,217,423,677,773,542,661,289,537,202,292,913,596,768,423,824,312,171,244,
525,837,918,314,258,836,589,373,140,925,990,336,287,502,169,130,154,463,532,
021,105,945,359,482,981,704,865,759,323,013,161,068,822,599,910,136,785,011,
952,797,453,590,658,602,742,741,886,391,020,439,214,116,999,227,226,411,070,
174,644,472,892,123,900,222,607,166,448,656,260,569,916,967,192,864,592,794,
713,759,162,315,950,859,584,836,789,437,068,380,772,711,167,864,685,536,042,
784,701,130,154,876,094,985,989,747,283,669,968,298,841,366,797,161,151,239,
926,789,262,460,358,061,799,011,922,687,016,918,493,902,048,400,638,060,554,
950,726,428,811,344,050,573,562,997,607,834,835,301,227,806,204,863,553,339,
515,572,668,891,773,017,561,187,587,969,748,667,701,063,207,461,383,553,361,
127,458,582,168,442,524,199,014,196,704,344,185,449,351,893,202,342,172,584,
750,090,117,683,717,525,480,763,430,102,264,748,098,508,209,012,180,917,475,
334,162,516,358,231,967,708,663,000,845,938,620,952,391,263,727,782,827,340,
150,711,442,234,871,465,894,229,322,146,806,494,572,986,164,613,933,954,475,
460,026,021,455,032,177,136,323,663,168,358,501,483,478,770,638,986,679,219,
016,069,564,438,320,572,543,463,794,003,131,496,665,223,219,491,133,136,712,
469,529,906,983,578,772,537,457,651,636,788,190,830,999,831,229,449,123,130,
153,048,273,847,335,733,775,330,399,002,486,322,089,150,390,775,677,853,084,
496,588,969,334,932,821,375,242,650,889,934,342,963,591,121,161,232,929,693,
764,317,359,520,817,417,695,753,402,673,147,504,062,179,391,277,929,419,814,
927,032,333,076,650,362,560,158,846,199,206,613,432,619,799,722,445,285,452,
662,434,958,983,639,577,654,789,270,537,375,400,710,400,824,120,680,864,947,
255,360,668,462,341,133,296,759,193,921,648,746,870,022,585,537,632,367,513,
042,718,271,895,711,244,249,364,724,385,259,722,041,491,054,687,552,889,390,
577,597,541,929,538,210,480,053,210,921,155,947,256,740,813,983,696,798,857,
465,616,044,925,922,225,264,383,449,970,867,714,673,655,987,905,542,501,402,
470,211,530,914,961,611,280,429,776,650,162,574,519,424,016,091,093,160,617,
594,019,750,589,857,686,661,185,936,570,040,147,904,751,135,072,517,115,649,
541,618,121,476,798,492,183,673,788,965,997,719,829,533,791,777,179,536,859,
618,991,757,924,383,811,312,136,645,599,180,121,743,694,596,713,099,318,181,
340,328,390,228,011,756,596,955,739,824,061,439,143,803,170,351,807,033,832,
196,883,028,002,222,786,406,012,482,427,580,740,182,773,689,433,416,374,119,
522,793,275,698,705,936,710,754,448,124,252,495,913,784,485,546,351,135,067,
854,300,885,744,714,199,832,302,049,653,699,301,582,772,713,158,246,000,970,
277,018,547,200,756,694,884,456,319,074,280,882,149,185,303,974,999,257,625,
970,384,263,017,178,119,871,079,112,888,913,817,693,736,634,974,592,131,129,
100,064,056,734,647,396,774,814,824,496,258,271,551,234,487,892,803,993,500,
180,434,964,698,851,145,821,956,363,521,757,420,482,533,562,194,072,983,753,
905,846,229,966,896,020,845,744,472,610,465,874,475,535,221,654,608,482,937,
974,964,469,682,022,014,417,055,915,018,797,160,728,515,367,321,494,068,423,
420,724,739,966,636,353,365,117,108,833,240,686,222,996,183,192,683,805,987,
030,603,165,528,169,192,652,760,793,459,957,996,855,056,492,498,769,271,929,
223,902,122,099,751,902,825,717,566,981,529,202,991,522,014,070,071,571,979,
953,727,999,442,012,819,088,258,780,086,255,318,354,903,920,665,427,939,110,
155,180,883,628,061,326,506,704,056,553,296,931,353,737,735,962,041,000,441,
174,658,545,334,113,201,145,008,997,112,275,932,723,995,209,775,047,145,803,
700,240,149,406,477,487,282,855,629,522,700,674,719,826,102,304,059,520,712,
306,652,315,327,764,134,109,234,153,354,212,512,091,064,295,949,808,579,135,
304,147,949,654,456,502,187,241,559,531,332,605,604,706,030,012,296,676,936,
912,246,534,570,241,684,748,993,429,124,898,316,266,062,066,597,266,760,047,
260,607,070,272,839,655,721,537,753,952,610,364,482,273,892,999,616,049,258,
552,945,794,056,983,391,264,362,705,697,145,994,960,264,745,860,634,135,335,
145,574,489,965,331,508,476,269,527,221,855,715,070,277,237,984,758,308,769,
142,667,518,963,850,984,956,917,162,051,340,015,321,156,676,217,667,101,137,
513,627,327,685,561,179,757,246,866,156,646,187,733,112,420,236,075,251,864,
728,073,559,224,210,615,239,125,429,933,159,572,813,257,730,092,072,619,676,
098,207,858,833,656,941,092,657,176,152,691,440,549,082,956,446,656,767,226,
455,156,456,425,804,031,366,334,698,290,739,782,010,989,674,109,105,214,064,
440,676,318,777,478,822,820,388,075,212,587,392,139,367,777,340,368,778,306,
809,449,477,458,274,738,158,370,902,937,477,452,967,507,400,023,849,420,210,
710,386,913,178,353,090,884,991,348,448,965,016,123,802,609,816,560,702,335,
676,587,531,755,764,568,661,074,298,021,526,074,238,676,911,339,998,312,578,
253,663,906,087,872,437,259,540,779,273,683,778,933,140,565,324,530,871,752,
971,032,039,929,181,189,149,397,738,375,853,080,236,352,421,586,378,639,651,
624,504,267,975,521,597,688,484,223,917,782,298,559,958,288,207,460,319,513,
564,292,721,419,076,833,395,437,008,872,733,258,771,854,708,769,072,177,611,
285,929,413,967,073,019,104,012,855,267,895,104,640,153,138,884,810,628,444,
466,110,958,718,573,527,011,627,068,766,316,290,962,639,245,741,113,181,028,
412,694,390,160,828,908,429,194,821,649,912,461,322,356,899,863,232,812,220,
130,246,564,040,409,939,167,498,597,999,331,374,941,624,372,707,855,449,855,
426,814,079,552,174,519,776,299,260,603,474,619,738,378,489,298,704,014,539,
086,944,146,450,367,393,479,398,951,606,443,991,899,213,745,587,250,249,051,
632,691,837,005,252,034,546,978,891,273,056,907,676,342,912,253,310,243,807,
501,006,904,069,639,445,414,066,850,377,565,561,088,850,183,775,878,056,842,
882,566,420,795,566,563,963,574,134,608,399,118,454,349,992,827,460,624,047,
760,805,525,068,601,861,548,609,556,890,257,644,647,948,320,909,673,484,383,
295,719,376,027,214,291,994,029,363,733,783,824,244,314,858,856,710,324,208,
774,880,527,524,507,820,796,236,550,933,140,196,867,829,551,393,039,460,769,
264,237,629,230,741,298,702,796,497,410,060,422,611,917,307,692,384,786,288,
535,164,632,867,765,667,761,128,136,236,093,353,607,326,868,450,823,550,288,
190,123,019,518,866,034,539,734,086,464,378,880,039,336,514,191,510,225,561,
287,052,940,191,312,210,883,294,363,962,874,067,611,115,078,793,427,103,654,
764,212,137,178,480,287,248,547,470,225,339,753,479,033,973,399,200,199,010,
846,078,483,439,548,273,458,718,849,141,995,623,496,776,450,869,540,055,714,
821,089,927,232,134,222,267,528,573,089,131,561,157,139,004,870,581,452,091,
240,355,986,112,631,301,891,312,303,236,101,520,735,987,171,905,272,522,130,
929,573,246,475,943,400,786,144,257,900,311,235,985,115,771,790,719,861,566,
368,283,868,787,368,214,143,272,063,823,369,238,832,368,854,603,772,006,792,
862,832,202,082,549,261,138,984,681,865,885,801,741,139,194,757,315,794,615,
949,202,134,563,288,743,338,775,111,057,773,823,847,978,477,637,922,988,968,
963,842,242,851,821,613,854,903,519,141,635,863,487,925,977,899,630,097,168,
446,801,027,755,917,736,707,747,480,121,692,622,152,968,706,990,749,890,975,
520,457,250,248,811,619,622,364,122,725,352,840,457,261,737,371,273,413,933,
336,458,368,855,437,855,943,330,627,376,460,977,056,077,165,452,629,190,896,
114,502,438,723,581,887,090,213,509,188,506,280,358,186,312,130,695,629,251,
879,844,109,431,606,952,574,278,512,522,925,338,926,390,244,256,185,335,099,
265,234,387,358,145,295,721,182,968,380,205,361,251,226,733,938,587,533,617,
932,776,721,973,464,132,974,981,511,887,720,069,229,693,027,271,174,011,212,
081,679,125,019,032,839,276,944,521,798,993,312,675,101,787,649,352,306,134,
477,532,196,980,424,189,076,851,599,872,297,653,120,395,726,514,247,766,084,
933,505,302,284,942,713,804,279,437,511,175,596,652,038,147,072,665,784,773,
283,389,110,403,888,038,397,846,155,768,812,871,604,037,258,712,219,745,356,
913,017,040,880,786,484,861,459,917,968,226,120,254,946,615,546,871,363,887,
106,158,390,982,543,186,347,348,455,473,684,414,621,384,868,402,143,407,099,
128,788,850,551,733,342,091,177,509,751,210,046,895,092,559,448,835,162,940,
195,413,995,343,981,289,813,983,662,231,854,731,396,704,076,206,789,889,377,
952,863,748,934,064,813,227,851,513,537,492,138,705,281,502,248,861,919,194,
051,842,822,515,559,155,029,052,320,405,565,380,174,598,046,575,744,904,850,
505,127,236,052,000,536,514,977,445,783,787,903,346,243,799,604,860,300,458,
184,084,956,300,883,822,833,339,211,385,439,487,198,565,045,549,204,832,017,
178,201,883,450,020,145,971,391,537,633,804,929,124,400,620,987,516,134,900,
794,746,379,804,514,669,169,530,321,519,822,282,092,716,768,900,341,489,456,
899,525,098,875,455,954,335,710,422,328,130,793,278,921,615,609,383,617,543,
860,840,804,935,116,295,711,100,494,702,857,327,689,914,812,613,618,744,503,
409,976,848,148,648,282,656,491,368,112,097,600,938,407,810,495,035,972,974,
985,639,017,058,275,463,229,457,239,934,186,323,689,539,631,035,515,659,509,
028,882,888,854,942,018,304,730,529,886,860,863,746,905,746,994,789,579,663,
593,804,111,970,113,631,156,723,573,346,645,067,848,062,509,893,062,328,249,
398,324,478,427,788,338,179,704,983,893,218,503,031,641,513,992,085,767,663,
296,978,099,738,815,029,017,845,921,757,787,119,819,557,615,022,618,739,694,
551,694,483,513,370,949,563,525,583,700,491,362,322,554,775,531,360,001,640,
006,157,155,402,754,446,759,494,252,075,833,152,103,210,867,177,265,774,402,
329,912,599,826,741,700,668,465,697,929,947,598,159,888,183,680,135,695,810,
780,834,088,067,916,012,291,113,726,536,841,900,532,984,083,037,200,942,931,
646,186,346,262,560,882,266,387,855,854,380,870,401,099,379,797,570,865,254,
648,156,092,862,161,919,953,789,034,557,384,470,496,539,265,313,863,726,313,
670,637,624,140,690,865,121,166,207,853,584,419,719,714,597,494,913,461,462,
205,467,423,740,737,212,114,129,683,474,857,313,993,147,321,298,682,422,198,
174,002,310,057,550,462,430,552,598,856,193,950,391,153,774,449,335,983,267,
009,100,071,165,869,368,431,380,604,301,174,984,522,206,540,504,711,165,011,
218,171,021,010,996,019,237,792,284,843,273,569,508,900,846,016,371,994,788,
241,307,312,832,063,279,529,128,290,104,589,157,038,324,659,438,400,917,794,
442,388,668,484,173,032,451,418,540,560,822,601,356,949,613,874,658,657,478,
552,188,655,515,583,214,283,141,889,784,797,900,097,445,918,599,685,965,466,
589,394,778,800,689,428,020,281,360,186,211,481,693,115,121,948,398,652,913,
759,832,383,930,533,443,858,665,502,959,678,825,755,061,847,630,736,004,120,
965,663,163,917,369,990,761,815,543,861,604,210,742,093,927,255,373,654,944,
858,901,644,581,342,462,891,861,781,839,443,512,071,537,260,141,983,252,914,
889,530,150,737,977,692,116,466,862,820,287,172,222,640,710,705,227,067,946,
552,647,830,646,302,080,528,556,390,177,147,326,300,624,625,987,606,932,803,
392,676,389,522,529,252,780,070,898,422,427,384,111,700,356,884,198,088,912,
434,030,822,804,343,378,646,633,363,719,011,973,780,889,202,572,254,102,074,
447,748,452,016,847,095,332,113,427,788,070,852,618,264,103,473,115,930,861,
874,454,185,897,070,405,973,006,020,918,773,744,469,212,858,957,991,523,987,
751,098,263,294,997,026,893,038,634,427,380,142,242,503,985,600,897,034,840,
519,080,153,429,171,322,147,893,090,572,743,364,009,303,433,358,068,480,655,
114,929,436,450,410,201,055,989,003,863,440,006,231,639,757,179,458,287,290,
536,077,773,085,631,216,721,508,069,335,677,325,231,368,140,592,277,596,594,
827,637,354,578,572,441,738,977,812,041,991,184,216,678,159,670,387,450,074,
375,918,995,888,872,962,073,524,643,910,560,357,523,155,762,887,696,452,984,
109,183,090,632,445,420,414,928,930,427,745,731,515,962,146,349,267,975,007,
061,466,512,331,158,090,862,184,156,941,068,221,462,643,692,906,389,556,760,
783,662,310,614,055,536,738,696,425,414,887,562,212,019,495,572,988,889,363,
970,741,116,174,547,834,280,186,113,508,183,167,235,846,446,603,788,353,076,
628,338,109,242,014,244,516,201,874,682,174,498,978,236,963,357,522,844,535,
802,331,542,089,358,528,826,855,885,735,260,695,265,113,237,246,880,189,428,
809,263,702,430,885,371,780,891,315,562,425,998,622,081,830,029,614,199,452,
792,467,073,397,027,106,952,104,591,917,770,869,464,654,460,845,878,973,035,
162,708,685,712,983,959,141,956,859,864,136,228,706,478,101,468,328,165,036,
184,044,225,867,434,093,487,111,923,075,101,349,266,886,673,166,907,655,221,
273,828,992,167,895,120,520,558,698,776,362,307,995,829,111,428,309,880,292,
929,090,310,332,573,375,332,418,265,247,933,640,820,921,677,757,630,186,064,
766,008,886,212,186,546,449,727,284,707,767,721,745,299,599,625,596,069,188,
839,695,982,672,498,097,108,344,819,628,099,529,032,910,110,709,716,470,162,
070,445,665,810,495,956,054,153,429,886,669,777,077,232,048,441,405,189,431,
346,033,041,776,177,120,765,812,802,495,871,402,312,059,143,731,657,359,916,
051,883,856,570,823,039,061,470,926,686,095,701,238,451,888,453,364,320,682,
169,428,121,348,921,353,742,715,965,679,852,518,032,375,605,068,865,162,582,
187,779,364,651,769,569,008,928,595,385,332,893,743,205,711,231,454,750,815,
726,795,474,556,174,178,587,181,612,886,662,191,843,608,767,511,998,428,762,
221,078,780,754,914,207,881,288,181,541,909,436,616,559,594,944,186,997,867,
449,036,814,060,428,336,313,026,368,922,683,752,568,923,821,843,606,093,384,
878,492,098,198,862,514,407,038,669,044,274,152,960,425,954,188,250,040,747,
519,916,491,057,711,651,637,164,140,919,506,679,430,259,603,111,103,701,793,
065,319,550,215,635,927,546,443,094,949,900,492,740,724,213,813,846,805,297,
511,323,980,014,088,573,205,341,683,722,692,223,922,632,865,959,447,351,965,
982,282,998,461,008,140,002,092,302,142,444,480,993,819,971,330,787,920,376,
638,228,633,489,254,820,414,656,550,415,049,733,365,331,457,304,122,948,591,
388,291,065,298,273,413,584,849,301,702,724,238,159,770,048,302,144,273,899,
993,200,820,357,603,437,396,323,880,006,928,728,313,679,571,528,126,270,623,
455,209,564,786,977,886,231,422,181,352,607,556,432,241,500,268,373,233,802,
808,777,128,350,385,739,848,664,212,028,472,941,593,609,904,990,464,050,862,
262,529,548,367,315,999,350,592,300,444,209,904,008,425,657,227,903,762,309,
927,999,028,432,940,935,096,132,363,625,389,925,916,516,212,479,299,371,234,
237,498,145,506,440,205,811,469,539,289,103,516,347,547,006,588,044,858,598,
396,714,534,686,648,744,988,193,696,592,949,547,829,103,777,456,104,363,369,
978,695,167,280,926,923,957,296,827,146,817,213,173,198,012,486,383,028,237,
705,888,686,176,187,512,977,685,140,975,858,463,921,341,277,679,987,573,321,
346,784,651,125,800,457,549,804,113,319,854,858,089,751,545,318,428,500,432,
361,452,014,071,850,396,068,539,653,055,705,333,802,343,309,457,906,574,714,
213,495,172,539,713,828,332,891,033,319,525,349,049,299,662,109,152,099,047,
940,527,834,594,500,585,853,239,788,894,279,844,736,218,167,998,628,681,776,
109,027,498,289,620,632,928,379,934,122,976,513,127,164,677,038,637,099,613,
222,759,925,191,245,804,047,438,483,669,117,126,198,648,149,497,224,982,180,
901,741,813,993,107,018,392,216,507,450,168,336,468,510,256,299,861,042,401,
205,333,828,117,789,876,923,914,511,646,329,896,524,508,761,100,700,008,026,
067,940,758,760,576,429,846,876,922,363,208,683,666,416,847,283,022,362,180,
135,500,055,661,112,924,494,671,676,173,091,451,584,645,996,614,896,992,424,
424,107,977,905,586,404,305,318,937,162,201,999,398,156,098,241,696,833,589,
559,308,655,365,407,047,326,698,761,880,555,222,940,392,078,222,836,839,863,
581,259,244,781,886,244,813,324,974,955,024,166,675,385,396,596,845,254,822,
609,821,866,950,598,376,498,485,609,632,266,795,001,095,624,232,185,457,520,
475,689,514,335,592,353,270,452,130,884,348,789,316,715,767,078,421,494,028,
058,817,049,035,991,815,962,788,763,772,438,106,314,884,454,565,569,118,425,
607,188,061,502,614,886,558,165,654,255,390,302,625,377,181,111,348,916,287,
868,189,809,806,500,813,088,669,639,653,235,585,274,552,833,276,254,831,056,
722,821,474,506,584,947,295,249,787,205,598,337,283,755,440,345,366,941,851,
494,315,136,682,449,918,580,941,826,877,143,973,666,793,852,591,777,723,164,
257,146,094,463,537,112,455,787,417,555,165,482,879,541,667,757,488,533,739,
142,699,550,769,055,366,530,923,474,968,174,865,937,467,443,910,144,248,743,
553,534,496,176,249,850,257,114,694,065,823,183,370,179,132,724,748,401,816,
328,448,307,497,586,736,575,158,394,335,168,804,498,312,818,776,919,087,474,
799,640,494,807,454,747,858,247,202,511,254,240,814,389,726,832,629,950,397,
375,282,241,288,600,813,182,021,926,225,050,386,549,861,337,099,529,331,586,
921,251,880,147,685,843,885,242,956,247,206,398,930,037,785,787,932,644,900,
224,116,724,424,747,049,190,641,974,729,661,188,670,028,890,626,269,839,768,
295,028,413,345,853,389,960,398,475,410,858,044,060,350,271,871,994,348,014,
338,436,326,746,824,041,861,276,896,613,597,741,007,033,638,939,228,819,134,
736,581,712,775,215,119,362,938,332,377,276,965,807,496,324,997,210,867,514,
156,129,612,920,444,495,066,501,167,556,321,701,606,647,001,517,687,495,135,
958,473,769,166,708,608,728,231,332,197,428,488,842,151,132,926,839,506,391,
837,796,886,711,729,716,142,617,039,270,992,491,434,994,541,735,118,082,229,
734,003,860,217,387,027,307,544,004,609,134,368,288,609,668,594,185,770,754,
689,126,772,219,210,512,586,846,732,688,112,815,513,655,041,726,632,737,310,
348,128,676,821,239,265,783,354,949,267,156,374,196,660,118,934,776,924,028,
675,120,817,751,718,812,674,674,662,546,374,793,233,503,572,584,486,035,809,
872,008,237,286,857,780,499,969,912,737,579,861,091,287,972,844,533,921,378,
426,114,134,625,886,743,121,972,332,721,222,772,375,076,582,896,550,945,109,
644,797,856,952,883,019,450,932,736,576,422,957,609,564,499,123,170,162,057,
318,084,876,401,014,256,529,319,253,791,798,659,771,006,898,883,335,854,291,
558,495,302,403,765,904,844,329,288,469,101,700,177,417,974,931,791,771,896,
708,886,159,114,080,562,662,419,934,111,406,906,194,527,628,006,782,301,723,
686,428,963,355,275,176,942,314,497,189,139,091,469,660,970,812,012,843,196,
447,430,702,054,760,549,278,536,550,154,663,024,273,813,811,884,301,657,066,
564,659,398,029,828,182,892,433,202,083,279,359,141,118,353,550,930,519,152,
918,045,815,830,593,846,996,357,033,478,523,203,584,596,532,479,219,585,834,
892,301,183,986,900,730,659,474,968,156,807,695,349,299,289,088,408,805,967,
130,370,691,006,976,206,217,417,366,188,206,577,048,841,756,032,025,283,174,
142,063,623,585,132,428,207,921,965,447,056,300,197,765,218,651,654,109,868,
770,895,214,667,357,272,370,182,857,126,029,981,883,636,730,136,108,171,313,
218,430,900,994,557,852,569,253,878,491,013,397,871,065,672,736,607,251,667,
396,152,818,406,282,086,591,430,995,766,476,024,497,684,024,159,048,866,554,
542,996,652,142,373,737,998,975,901,674,518,357,967,858,112,417,491,259,466,
852,617,936,624,902,375,502,280,179,694,420,297,801,286,548,953,718,240,303,
973,787,553,540,261,104,230,924,286,022,162,518,823,141,280,141,796,512,287,
214,421,655,983,418,819,576,903,165,001,289,207,544,961,951,351,265,913,032,
645,597,929,383,124,903,895,839,463,461,734,862,873,382,255,296,583,759,590,
364,484,783,467,298,103,363,040,979,764,714,456,513,090,696,046,850,471,697,
419,294,337,979,023,865,628,028,179,517,778,096,944,233,318,852,408,026,325,
359,073,584,455,714,950,205,549,185,636,866,499,762,450,485,526,750,206,349,
022,020,243,346,182,091,901,348,034,349,288,736,217,655,503,088,752,084,681,
641,942,918,374,304,416,907,793,831,869,172,564,449,784,968,761,237,385,177,
573,997,933,211,144,849,415,893,635,750,619,767,826,034,252,221,468,770,799,
921,326,237,653,776,781,534,627,066,016,015,604,849,350,483,628,061,084,257,
830,117,822,890,796,327,069,215,118,804,073,166,224,360,780,337,723,069,552,
795,212,388,015,212,823,571,053,891,542,166,039,982,347,905,039,846,190,625,
041,614,388,733,711,112,064,390,449,614,933,169,901,842,063,977,754,295,069,
227,407,513,621,579,087,039,771,150,078,902,353,906,419,310,577,638,655,881,
607,591,211,729,806,375,113,408,950,851,590,898,814,583,372,758,389,472,450,
728,332,811,397,538,938,044,828,020,389,736,578,534,897,731,436,347,293,291,
713,538,934,912,847,514,510,474,760,841,389,404,819,536,170,084,721,105,154,
365,488,451,525,274,245,013,452,503,926,530,941,887,019,078,677,424,179,518,
731,662,027,266,456,378,695,947,592,631,592,676,026,832,352,830,753,948,394,
527,924,692,751,024,496,652,885,407,362,045,118,131,946,010,266,859,154,703,
860,992,902,898,889,056,697,829,111,982,412,758,804,827,175,068,699,902,405,
558,531,767,351,852,432,380,104,193,100,077,686,197,446,025,248,770,767,337,
357,488,770,986,771,794,123,896,853,582,719,679,514,277,996,382,178,776,896,
165,788,916,006,422,294,812,397,181,738,685,220,038,547,706,014,286,980,199,
524,727,257,535,751,373,969,591,232,841,712,277,951,944,864,506,226,155,492,
747,890,747,104,904,825,520,642,383,437,747,565,029,324,921,987,230,962,279,
798,159,285,781,306,452,818,800,829,982,925,141,087,854,778,538,285,616,828,
255,731,411,027,806,598,530,792,263,474,812,336,358,352,367,480,182,161,775,
964,964,355,135,629,118,989,330,272,335,701,993,402,377,898,882,881,225,490,
578,866,705,558,063,327,170,232,975,484,953,049,452,741,644,821,467,682,527,
306,313,420,728,377,167,808,346,870,692,919,955,880,792,813,076,021,507,063,
072,362,472,211,434,227,245,615,238,727,334,614,599,465,846,553,398,897,963,
130,572,837,329,697,146,742,892,434,561,294,690,163,253,748,601,072,632,091,
410,708,495,467,665,785,527,217,418,923,223,672,094,410,844,941,284,703,932,
441,432,420,045,719,152,275,317,240,576,259,392,684,051,071,390,166,148,374,
227,693,676,565,494,255,814,033,822,204,155,051,659,237,699,184,509,728,665,
715,751,110,606,685,828,912,419,316,855,731,961,566,765,781,112,985,383,899,
425,963,958,850,256,323,521,201,016,586,491,715,934,395,034,838,292,695,457,
348,122,883,389,491,750,259,075,579,692,617,850,092,569,691,676,642,648,708,
563,163,373,415,637,514,444,887,663,515,282,767,890,533,311,353,233,728,203,
432,287,629,560,197,959,213,606,022,915,767,199,261,458,959,668,617,012,133,
526,590,772,644,825,294,307,116,815,674,478,580,711,740,530,923,329,179,046,
889,644,332,758,085,477,129,203,907,779,130,342,275,703,642,156,718,466,276,
135,426,622,902,967,989,143,516,133,308,190,359,255,797,598,970,004,423,125,
879,676,808,022,091,662,771,938,566,741,044,290,935,262,524,869,901,262,754,
867,403,773,055,263,728,573,201,439,649,559,079,577,096,483,831,862,574,384,
588,855,868,788,473,225,795,191,388,459,224,306,427,767,831,581,398,531,935,
084,475,721,057,181,870,546,518,083,254,396,562,088,106,603,232,370,954,972,
584,040,916,799,316,244,718,882,520,799,658,917,272,767,302,047,807,646,206,
299,549,790,848,899,253,538,521,420,391,149,864,429,074,815,605,085,491,238,
665,622,334,360,085,991,344,299,314,031,389,354,064,557,376,994,904,805,918,
875,993,927,865,113,106,374,652,003,382,171,306,686,849,466,124,746,583,979,
555,428,259,511,761,555,846,652,949,034,153,363,943,435,734,823,068,013,103,
648,375,702,078,615,982,073,545,351,423,447,097,858,614,103,946,624,122,413,
935,520,010,867,671,220,806,458,878,178,282,643,971,158,975,875,144,421,016,
715,105,780,619,267,317,245,740,282,986,927,772,381,006,565,385,812,357,028,
066,314,513,404,019,143,163,015,745,522,563,704,588,119,746,228,942,184,047,
945,165,531,151,502,761,425,518,460,504,205,810,092,445,347,968,648,285,479,
089,895,236,734,160,230,347,651,529,722,803,461,095,016,928,615,375,887,440,
192,464,645,434,716,886,372,220,866,149,510,843,326,031,678,831,902,533,545,
971,432,571,345,269,725,154,161,510,033,333,256,201,465,469,400,007,248,063,
780,262,595,606,256,044,235,106,117,497,367,736,296,357,991,629,468,840,457,
454,999,501,845,212,282,881,655,739,151,312,483,743,917,764,932,905,363,558,
381,304,122,741,205,853,873,217,467,093,255,312,119,663,766,388,230,976,825,
349,902,775,161,587,690,966,750,728,575,202,932,510,098,473,082,565,813,389,
195,971,509,025,924,892,305,165,963,943,891,957,939,905,843,445,418,975,228,
514,517,514,277,593,014,019,843,589,083,593,605,938,720,951,269,224,856,287,
382,993,332,832,421,748,552,579,795,219,315,259,687,705,751,794,595,497,827,
613,293,703,315,886,807,825,365,824,105,181,844,226,084,474,141,773,805,272,
092,476,666,902,911,728,115,396,612,865,539,641,772,961,345,644,662,844,799,
188,367,350,640,588,694,706,624,629,654,444,500,208,972,194,262,815,887,190,
114,244,558,374,607,848,286,191,178,342,343,734,700,406,466,342,889,762,350,
805,954,125,806,446,257,884,552,434,263,433,406,894,594,548,286,119,209,130,
310,167,017,890,018,619,643,978,011,471,271,667,343,799,374,139,883,674,148,
911,271,464,409,315,440,764,123,572,392,128,230,349,510,865,076,896,154,473,
931,386,075,769,802,824,841,315,500,993,914,437,632,361,774,477,406,201,999,
126,770,179,181,732,019,986,252,520,259,029,988,918,777,028,702,309,321,613,
798,253,454,124,079,670,102,439,074,533,824,797,593,933,749,291,163,095,674,
298,555,246,529,687,430,288,280,872,896,628,559,536,620,778,937,988,517,740,
711,382,956,263,773,002,543,701,789,557,626,272,076,605,392,049,680,987,115,
726,209,664,046,609,798,432,578,494,394,520,443,064,089,765,791,574,369,557,
933,708,849,148,554,655,646,908,863,419,193,851,488,084,385,776,428,326,049,
039,995,280,812,435,992,852,561,745,215,521,083,654,635,420,792,774,310,108,
779,742,363,930,780,801,585,708,619,175,178,221,480,304,495,633,021,416,956,
022,407,792,076,457,850,666,463,913,535,006,727,256,026,964,959,257,978,882,
986,204,575,573,014,633,800,144,119,276,717,109,746,020,384,536,960,191,449,
812,456,728,490,982,173,104,527,111,858,543,290,484,427,294,146,844,056,578,
518,735,679,692,438,588,179,366,529,962,816,623,335,264,318,263,171,514,304,
846,006,229,153,774,305,295,497,757,929,840,104,547,158,381,511,732,719,625,
127,757,075,396,966,470,820,967,217,266,577,149,984,229,588,426,769,916,860,
582,592,398,494,724,451,320,024,692,286,907,848,989,457,026,814,078,400,942,
892,035,050,783,742,790,371,918,769,403,974,052,672,070,851,190,836,377,049,
063,295,725,228,354,145,702,402,277,598,334,289,976,809,787,446,623,364,536,
896,076,627,799,003,656,978,941,615,305,913,951,174,561,094,958,579,710,388,
743,468,092,869,489,078,186,654,659,544,333,827,079,698,359,092,736,163,917,
997,507,457,744,456,136,493,994,097,136,661,105,305,748,823,041,922,671,390,
374,821,495,720,138,468,330,528,948,786,096,781,669,662,336,854,245,276,571,
084,784,169,465,257,045,677,645,328,918,545,705,279,538,767,415,504,129,280,
531,241,292,147,631,924,166,777,507,821,213,169,000,974,593,769,301,692,452,
774,119,593,024,199,146,543,150,040,755,098,242,259,854,378,144,795,492,445,
757,585,194,580,179,972,507,173,666,355,290,858,954,801,848,001,586,170,756,
974,926,520,456,877,991,900,437,821,168,013,989,936,597,849,483,572,499,214,
438,092,061,528,800,306,964,510,598,331,193,734,027,259,275,323,625,992,786,
183,092,891,896,097,474,304,410,965,889,386,442,483,573,161,826,790,536,963,
125,962,002,002,375,466,590,470,592,268,795,243,961,858,640,332,870,198,162,
196,043,206,244,298,717,242,511,210,787,990,012,751,166,541,327,411,145,233,
499,287,260,423,382,735,205,159,451,726,433,782,295,009,955,398,534,698,559,
202,601,190,091,222,687,324,840,134,524,860,419,811,967,977,569,222,839,787,
785,664,090,657,449,254,938,569,072,522,656,297,195,737,007,125,792,380,551,
828,084,519,914,808,402,540,634,130,897,641,026,619,081,985,533,606,196,405,
211,986,243,859,456,257,103,519,190,705,836,021,747,608,083,920,601,890,937,
502,633,914,363,880,371,994,680,891,244,643,263,365,259,384,279,659,341,953,
741,506,476,306,013,077,536,837,304,719,876,254,522,016,214,697,212,612,317,
031,184,078,147,689,128,694,922,707,599,824,527,817,482,395,585,002,700,666,
420,582,565,270,970,439,293,994,838,237,333,001,942,891,659,657,245,864,504,
287,889,021,581,276,067,181,745,920,426,191,357,487,945,916,848,365,455,912,
581,710,336,005,069,746,306,609,430,248,469,340,909,636,352,434,072,563,492,
537,055,434,881,175,608,073,040,968,550,314,765,830,887,227,505,739,459,386,
287,106,618,938,247,793,859,247,580,999,459,958,709,702,062,058,321,650,988,
810,067,118,897,206,402,686,365,979,251,304,331,634,080,797,851,792,538,114,
639,289,401,893,723,039,163,438,627,015,817,415,630,720,925,865,279,276,062,
355,640,629,491,065,704,660,137,872,016,848,128,862,756,318,306,517,320,361,
845,254,350,127,752,443,498,195,377,367,762,521,609,036,564,271,081,064,835,
948,083,337,522,152,645,004,164,142,695,623,639,904,431,979,468,857,034,552,
786,676,476,940,445,832,899,590,954,991,183,534,759,492,659,416,164,817,610,
107,936,582,384,560,025,721,707,227,593,290,417,571,731,290,542,593,950,336,
567,720,297,507,499,784,205,296,930,925,049,149,930,330,957,926,999,162,775,
708,374,461,491,436,929,147,890,416,567,272,322,006,608,058,352,125,525,423,
950,051,079,166,325,922,092,791,535,418,037,277,226,018,880,013,691,414,589,
265,870,009,462,042,687,261,111,655,351,454,348,972,562,244,429,858,082,240,
885,575,346,688,529,418,533,519,207,776,374,540,722,834,293,310,721,254,422,
548,911,049,998,125,381,836,447,075,251,062,184,593,823,933,697,705,022,395,
331,415,807,227,871,588,306,302,878,685,833,195,000,253,040,064,506,541,869,
794,749,320,834,292,104,825,948,384,061,259,421,958,576,750,653,758,045,145,
585,309,837,994,254,080,798,270,043,389,390,636,086,246,721,313,043,780,502,
390,323,367,736,269,539,605,150,521,895,013,119,096,249,313,988,086,077,249,
229,729,980,292,063,764,242,083,479,812,080,541,526,551,106,967,952,861,819,
856,441,767,942,316,057,768,767,798,531,223,088,431,140,705,018,777,820,674,
017,610,609,410,751,532,194,508,955,068,901,979,791,171,050,242,576,318,304,
461,351,296,372,843,047,356,773,959,310,669,976,512,152,714,329,671,215,736,
066,080,275,228,014,605,944,958,426,020,031,464,607,251,233,895,730,836,056,
058,439,916,680,250,713,738,228,602,013,446,896,382,098,378,052,640,834,167,
340,471,234,906,968,422,663,634,740,241,706,728,274,245,892,562,092,634,326,
205,525,224,199,582,253,698,855,766,419,931,111,393,564,682,257,045,914,966,
378,106,552,945,330,133,480,753,184,530,453,607,882,750,617,080,316,648,711,
735,883,753,242,995,104,719,441,312,043,854,521,729,749,418,070,022,952,367,
260,309,964,513,993,198,759,729,266,738,009,112,201,062,292,888,089,882,975,
869,168,970,205,942,466,054,612,373,257,937,500,598,566,286,131,391,283,509,
429,674,994,172,952,772,328,937,574,196,624,720,423,572,341,440,390,712,125,
136,851,307,904,565,628,413,540,819,871,847,522,172,170,290,130,670,820,063,
772,396,168,814,963,358,174,709,686,600,630,155,466,501,143,266,254,186,596,
767,632,154,203,003,102,192,889,900,231,407,713,982,694,810,780,313,146,898,
800,290,029,016,699,571,524,848,716,326,447,487,322,996,681,693,500,394,891,
863,481,794,085,793,395,446,764,605,227,254,521,680,254,692,048,753,371,281,
443,335,871,549,537,202,365,270,466,221,040,194,552,293,263,462,118,203,556,
579,632,886,993,522,774,096,708,409,065,150,975,209,578,078,014,426,325,124,
561,315,471,121,992,362,808,371,815,415,768,953,206,556,624,228,862,260,395,
934,588,741,334,754,183,194,674,693,029,480,778,242,121,707,683,547,214,961,
909,539,963,767,100,937,214,409,423,348,068,417,391,023,776,149,098,471,223,
607,224,375,044,276,306,377,749,230,840,153,086,675,023,819,050,792,721,395,
945,602,736,080,658,897,283,474,184,420,029,785,728,465,636,337,904,390,396,
049,391,027,509,579,289,047,265,001,034,128,765,041,925,934,463,399,106,601,
053,872,814,816,820,098,674,169,788,409,101,701,238,304,580,919,208,299,281,
654,320,263,189,628,343,840,361,186,165,477,897,318,610,558,291,707,081,141,
880,670,897,260,274,713,048,012,817,949,578,135,483,181,570,554,898,216,692,
251,575,608,190,674,263,109,764,962,075,303,374,236,366,278,965,652,355,777,
812,547,076,761,260,538,316,344,828,863,445,318,044,399,179,763,272,439,701,
016,461,541,633,441,322,773,034,745,960,261,309,529,860,560,990,312,236,717,
769,359,218,103,004,115,580,605,723,284,986,063,661,934,353,391,203,184,533,
960,335,193,536,346,553,677,016,975,921,285,175,486,950,719,205,511,021,914,
415,274,589,837,766,446,119,448,041,310,630,152,315,613,132,104,245,245,395,
672,227,956,315,235,099,733,753,725,949,933,496,647,786,825,588,319,804,401,
263,709,154,116,602,342,893,011,571,073,756,563,470,335,684,253,264,427,840,
652,757,396,993,693,873,456,002,236,640,515,914,901,754,466,750,648,156,865,
055,578,796,167,118,169,127,167,892,494,103,915,380,271,699,102,318,859,821,
644,391,948,614,843,921,367,423,755,552,119,237,339,116,582,548,433,211,724,
110,576,334,951,246,578,717,455,121,636,166,707,185,730,977,755,008,528,600,
288,864,497,610,316,152,191,617,475,477,526,756,743,898,493,388,509,800,685,
696,992,046,988,745,642,466,634,779,486,799,085,277,148,005,585,494,661,723,
342,200,603,300,837,807,301,858,004,085,649,907,741,537,875,802,337,182,339,
018,299,298,757,096,199,608,731,014,824,435,168,896,652,900,848,669,894,987,
978,530,207,399,889,344,328,990,274,231,404,899,632,267,807,905,665,857,242,
505,154,153,214,703,217,067,803,365,405,220,798,037,223,526,015,787,998,891,
840,320,481,491,283,337,862,651,624,426,702,671,076,289,754,873,130,028,182,
496,155,651,897,637,655,291,848,415,821,411,634,811,148,767,622,045,702,795,
884,760,758,865,207,252,945,821,640,246,056,214,530,891,619,911,610,999,845,
333,059,784,494,111,665,368,278,978,241,815,569,526,785,430,506,926,727,836,
079,068,776,028,592,794,200,547,064,125,802,134,794,987,098,010,281,950,542,
779,831,113,450,774,844,251,097,599,984,736,089,304,139,771,259,063,421,941,
476,743,091,673,150,860,947,563,349,189,687,703,597,854,209,063,105,630,588,
966,106,106,140,186,558,613,692,031,875,813,077,678,589,124,146,643,553,119,
060,842,428,987,890,445,716,600,552,295,163,974,728,420,909,243,178,861,408,
123,785,376,859,376,570,623,059,767,312,860,415,694,656,078,839,888,172,291,
067,327,656,103,183,082,964,555,485,192,647,770,997,859,458,554,158,667,483,
575,115,408,232,237,802,697,529,366,835,862,886,474,839,516,937,169,557,126,
969,399,336,773,099,251,089,768,680,930,534,440,504,888,399,945,933,494,339,
355,377,624,144,140,853,596,798,582,454,889,202,688,172,905,607,416,373,856,
334,980,155,098,092,225,462,795,077,910,846,835,739,868,018,627,466,475,862,
622,734,798,068,594,048,744,592,127,260,782,387,359,959,111,966,440,364,993,
800,999,293,190,640,103,224,600,940,876,269,860,466,735,188,628,619,074,749,
804,118,200,194,243,275,779,600,773,610,486,986,006,232,188,504,398,028,314,
501,049,635,316,486,600,086,536,398,712,178,814,045,824,985,121,542,508,944,
009,267,170,107,377,897,054,387,888,498,755,860,486,960,365,755,572,781,702,
995,400,674,567,866,254,202,670,378,768,808,323,656,188,403,390,820,177,440,
572,867,183,545,345,251,955,798,277,153,801,277,800,131,675,711,900,363,155,
177,462,235,396,468,501,106,038,426,196,687,711,194,794,070,656,396,612,502,
909,097,976,758,314,337,500,497,952,726,912,466,166,960,367,499,135,729,436,
519,500,770,571,883,882,232,677,369,405,213,029,644,085,831,019,583,457,068,
181,793,573,234,077,432,466,868,584,888,997,097,720,531,571,842,893,859,803,
367,095,614,672,312,761,713,831,581,894,302,198,054,846,264,808,711,697,407,
644,163,359,014,025,549,631,209,223,255,536,088,875,105,398,148,891,540,137,
657,859,093,366,337,045,981,854,756,939,429,134,956,467,009,946,998,065,852,
148,594,455,467,235,274,617,220,324,921,993,525,655,990,129,353,156,091,792,
585,791,398,514,608,027,691,168,168,559,715,201,457,408,922,171,564,905,345,
663,512,955,447,854,111,675,610,890,656,525,725,978,525,899,472,130,418,109,
400,584,707,345,500,040,624,126,517,192,517,201,173,179,510,098,295,266,588,
031,111,685,149,876,741,867,517,626,591,948,033,540,009,004,474,571,804,258,
037,726,726,415,517,252,302,650,346,266,036,958,098,057,643,654,520,762,146,
934,740,819,231,126,771,257,570,513,764,518,265,896,629,517,247,458,329,118,
531,612,939,070,954,957,348,915,951,138,846,596,267,957,960,502,793,060,738,
072,829,132,133,240,870,337,277,533,925,191,373,308,384,490,709,655,483,549,
590,771,576,132,901,271,305,675,252,877,386,157,823,215,554,719,226,582,921,
040,475,224,073,123,051,101,122,995,202,471,969,753,492,245,602,010,550,104,
132,378,683,170,334,416,139,512,674,560,483,390,967,038,583,152,351,335,802,
954,369,096,025,555,019,029,040,371,232,653,904,281,947,645,903,458,839,846,
792,963,349,818,762,043,858,915,556,261,864,840,460,659,823,560,648,498,103,
322,300,564,034,646,796,848,886,617,658,111,384,633,786,095,497,684,916,590,
715,274,133,382,762,234,278,021,969,698,501,153,588,707,395,257,145,168,467,
000,547,334,405,452,295,334,319,853,957,662,666,012,279,087,152,298,849,615,
228,501,337,558,542,880,996,256,695,793,750,540,057,346,765,464,752,531,197,
218,952,242,323,176,494,859,680,288,943,095,155,957,279,246,282,768,691,153,
365,717,892,545,833,513,091,062,597,537,065,663,552,437,980,426,304,481,807,
184,400,804,736,920,304,351,957,300,149,525,841,710,506,096,817,433,650,024,
384,559,124,224,949,697,004,161,179,571,454,422,816,855,060,608,906,158,303,
760,115,581,206,826,587,219,611,500,130,381,614,163,515,704,689,819,586,166,
781,647,033,046,412,424,786,048,302,861,406,154,436,516,136,196,609,883,662,
603,027,816,414,375,632,656,006,093,838,481,896,153,287,382,410,438,568,340,
542,602,001,603,072,387,939,342,160,439,092,216,859,003,833,615,341,950,774,
710,721,688,218,733,610,189,646,153,443,730,481,603,757,998,697,821,080,505,
079,039,795,853,200,242,058,370,334,650,485,333,093,175,127,973,405,640,006,
128,623,206,172,991,146,451,368,150,206,025,605,684,163,119,625,034,559,673,
812,851,000,982,996,593,896,008,992,512,543,117,207,153,214,032,845,498,421,
964,597,779,660,961,666,119,442,349,608,243,632,489,934,499,137,145,558,949,
758,765,716,169,065,057,234,939,657,801,258,622,844,178,513,927,766,068,817,
322,326,968,811,582,404,016,103,117,069,794,822,309,975,058,884,214,982,608,
625,960,464,611,872,922,029,633,107,069,674,024,520,479,146,560,904,214,666,
922,853,395,966,775,287,454,389,384,106,981,266,879,097,370,329,072,686,428,
274,652,322,437,066,628,506,079,774,429,937,830,275,066,843,959,435,019,523,
958,922,081,447,855,344,616,359,339,898,827,487,765,016,121,858,410,905,712,
020,411,840,321,349,278,920,622,106,116,079,467,032,545,107,285,185,147,812,
255,552,294,621,580,314,642,157,801,080,304,520,364,081,131,433,019,463,691,
583,289,676,580,822,487,226,591,351,371,911,478,961,710,600,279,429,171,171,
845,584,575,406,368,840,838,042,857,313,436,832,229,968,748,602,650,864,112,
142,621,675,391,351,189,954,659,100,299,775,751,818,697,710,973,487,044,979,
137,653,241,650,540,493,136,486,980,203,479,932,714,297,160,508,852,489,695,
654,709,158,040,794,288,828,118,764,303,441,670,086,846,927,562,184,910,462,
929,196,409,294,377,227,696,827,930,764,311,986,615,361,980,671,961,823,076,
445,985,867,000,230,453,021,414,976,597,538,237,548,482,485,542,633,943,821,
213,552,867,757,847,326,242,376,069,657,099,896,330,293,327,088,736,964,188,
751,979,153,858,175,882,370,363,227,844,853,878,468,890,628,535,732,330,967,
903,255,729,798,446,939,881,419,420,818,851,402,893,747,770,837,408,082,447,
870,338,661,602,756,190,784,077,902,866,753,981,005,496,846,719,932,599,106,
541,083,277,457,676,156,020,851,047,350,569,819,695,447,054,516,576,566,898,
172,747,079,275,273,082,623,013,096,208,497,264,259,770,671,327,981,566,959,
313,258,449,689,900,683,591,177,542,421,801,888,349,387,572,796,297,248,004,
628,841,007,574,454,021,064,239,793,843,458,682,298,125,950,172,358,828,228,
595,325,245,330,366,507,019,303,824,396,485,592,553,245,401,679,706,149,460,
129,762,405,598,257,366,968,436,170,117,401,302,384,865,370,802,487,458,920,
729,607,688,438,711,084,910,200,129,912,368,163,420,886,620,610,638,075,775,
435,159,831,828,563,311,592,495,708,777,638,498,383,295,458,035,092,800,025,
398,164,253,378,323,947,515,628,798,440,134,410,926,240,599,462,074,167,781,
447,464,634,570,483,088,476,986,789,732,611,244,238,613,326,737,348,583,490,
873,768,902,633,253,451,169,520,733,002,798,776,949,794,314,510,158,118,437,
937,433,163,285,552,862,298,068,793,235,713,779,292,014,788,918,161,290,572,
018,990,687,981,083,756,887,585,321,023,532,659,137,193,416,979,595,469,635,
976,383,079,998,568,755,370,263,679,136,936,690,286,098,572,350,349,943,268,
276,260,454,675,831,856,596,441,355,534,545,797,774,825,137,482,223,791,262,
193,248,495,832,401,222,327,636,852,286,695,864,614,967,484,524,630,165,577,
972,343,611,584,756,913,386,610,064,636,918,631,968,664,171,041,176,751,427,
008,724,464,415,448,105,766,842,807,453,659,252,318,216,307,908,432,238,356,
656,843,914,038,723,841,774,390,560,948,536,461,687,544,296,480,914,649,995,
526,983,942,228,482,485,841,184,425,158,968,504,796,332,399,910,360,811,404,
185,470,827,910,180,189,704,817,691,777,700,802,579,826,891,464,250,218,479,
900,701,624,535,276,082,608,451,730,951,607,001,769,639,468,444,630,207,476,
144,316,468,991,524,026,833,488,901,322,337,059,241,607,899,232,815,500,796,
481,662,699,278,106,017,817,855,642,507,909,887,270,272,027,319,610,534,580,
047,137,555,001,156,494,345,890,352,404,398,630,773,096,907,479,925,396,113,
793,386,295,175,332,611,022,500,298,053,112,130,774,370,659,715,550,163,868,
725,784,554,764,531,148,798,896,923,899,281,390,988,231,496,230,686,732,441,
151,123,398,012,785,545,734,719,177,963,716,034,612,971,683,808,071,514,831,
776,265,705,997,540,112,373,524,274,026,986,953,539,206,167,161,606,015,860,
728,437,379,306,820,133,605,716,505,180,739,751,568,269,565,161,325,263,575,
553,399,323,098,428,706,534,101,622,311,300,363,647,145,509,544,085,204,390,
835,981,466,153,142,484,142,846,729,390,062,524,239,432,767,467,793,706,832,
252,392,165,012,378,633,486,014,494,649,715,890,406,126,275,346,997,137,125,
887,289,977,326,791,110,279,359,538,296,186,083,652,830,079,281,984,976,507,
017,996,457,537,924,729,512,537,232,903,281,336,217,415,623,985,822,986,431,
276,970,146,233,707,089,185,497,441,191,626,262,650,168,645,133,547,725,387,
852,340,364,968,877,817,523,549,309,378,246,415,539,852,351,835,152,617,507,
188,254,391,089,988,541,208,810,381,343,308,538,190,100,564,256,139,972,981,
470,704,434,621,165,943,136,694,892,487,336,360,781,171,081,300,242,387,475,
416,350,555,903,601,654,725,437,566,724,901,010,124,036,157,159,470,852,856,
633,674,415,615,707,854,821,974,413,939,960,927,933,722,241,301,472,822,911,
321,046,540,813,024,750,856,432,629,153,236,789,790,931,102,240,387,504,583,
823,211,479,444,399,476,796,543,249,992,880,197,419,477,649,117,832,873,737,
175,315,291,447,480,532,898,834,110,805,649,904,385,822,633,391,555,839,181,
889,142,474,258,584,308,215,972,930,616,542,973,363,603,902,471,311,500,949,
909,873,417,779,895,616,961,836,962,784,863,480,217,742,189,302,273,745,868,
912,273,909,194,636,196,296,465,664,194,377,387,350,074,585,852,268,258,571,
219,883,103,328,112,587,865,590,131,086,049,865,663,601,883,918,873,062,471,
771,211,498,970,422,586,638,916,067,434,583,359,711,882,925,263,689,348,344,
675,481,455,096,964,084,417,194,486,306,447,811,306,812,699,274,437,406,274,
802,714,354,939,397,987,766,976,835,739,765,888,636,526,550,615,710,218,548,
572,334,155,845,779,675,383,834,298,269,906,411,167,970,926,024,025,264,770,
043,792,205,325,974,497,081,256,033,117,934,486,729,244,439,274,648,476,596,
826,561,415,616,984,054,971,826,728,626,037,464,522,487,234,641,256,608,812,
872,652,500,959,993,305,324,979,388,253,741,877,340,177,605,616,686,395,783,
189,732,746,701,661,599,975,867,899,374,843,092,573,036,355,785,342,145,372,
029,911,355,068,324,712,241,990,131,770,286,477,892,881,009,593,890,585,463,
270,497,640,533,101,677,972,273,881,004,083,604,144,890,637,008,736,171,436,
218,361,542,669,341,742,835,104,212,184,659,054,684,735,000,663,824,892,997,
799,187,176,876,468,922,356,245,208,299,377,660,218,654,923,865,505,617,333,
292,436,666,066,013,716,191,584,303,939,930,580,874,839,933,100,265,213,531,
556,772,990,772,067,489,918,695,827,519,853,768,599,782,332,653,193,998,367,
993,850,600,953,680,801,221,545,227,592,155,790,908,905,561,017,911,638,333,
773,195,033,194,073,879,300,879,656,079,692,165,748,570,614,709,393,142,859,
756,562,785,793,166,241,436,288,098,983,136,693,813,158,619,253,820,550,870,
281,021,800,563,055,482,376,858,298,390,004,617,113,775,416,307,010,442,945,
964,527,663,044,617,030,496,786,004,131,552,345,583,210,986,589,706,750,273,
352,637,655,184,758,641,844,226,871,785,912,357,421,040,467,626,819,029,312,
647,800,521,573,138,248,024,725,555,903,323,044,091,029,932,086,777,441,572,
453,452,637,595,882,136,123,296,889,621,310,369,260,105,920,458,456,011,526,
201,509,022,836,176,899,571,998,360,873,386,437,123,546,825,134,086,806,813,
422,773,693,643,096,442,910,629,759,371,225,097,624,898,508,071,577,741,064,
647,277,309,739,867,619,243,046,960,839,076,891,614,375,929,356,227,395,970,
437,226,731,934,037,949,392,723,828,928,443,777,715,816,814,208,497,947,269,
376,854,139,049,727,238,190,841,011,967,368,635,158,526,380,288,961,122,031,
873,839,215,058,392,860,254,504,114,885,878,134,458,219,694,045,715,575,830,
157,914,498,160,442,057,808,547,836,281,035,346,088,953,161,609,599,164,794,
267,116,001,577,405,570,479,887,061,591,592,377,478,114,696,566,101,064,711,
743,846,424,976,650,458,765,052,930,692,642,959,387,341,924,849,590,978,516,
884,552,121,995,213,918,368,267,169,891,182,726,413,846,626,262,808,903,478,
776,399,649,725,248,761,858,174,471,088,443,145,570,918,524,902,677,159,299,
429,162,251,237,933,040,376,503,500,891,798,970,801,712,099,311,877,893,575,
585,099,912,052,042,935,253,034,360,244,530,032,710,042,738,517,838,853,577,
982,837,408,485,540,476,348,460,924,768,934,427,620,678,345,587,088,381,366,
310,973,962,330,889,637,692,618,342,027,687,585,532,725,898,100,562,343,701,
757,984,074,653,713,782,869,240,548,228,610,938,730,087,832,809,231,395,892,
928,515,539,445,275,587,053,421,364,653,890,168,348,353,910,794,955,923,330,
119,481,132,710,312,620,285,513,141,508,810,893,004,935,145,447,232,650,965,
052,771,198,407,770,491,514,082,544,253,276,763,387,611,098,424,162,196,388,
954,051,247,830,308,660,418,883,484,833,474,072,108,956,083,660,618,623,158,
094,054,410,359,856,517,595,125,754,488,596,717,783,955,995,014,046,540,484,
477,262,067,100,823,318,655,551,661,757,621,105,312,255,386,516,295,587,922,
559,852,142,166,934,075,841,291,112,876,165,297,498,930,786,137,055,607,126,
670,717,800,141,500,264,041,130,254,617,491,234,826,770,980,541,558,346,082,
796,870,206,271,382,570,193,891,197,652,030,383,466,099,366,347,000,047,495,
607,353,758,819,111,557,652,312,534,230,248,113,769,941,613,138,988,849,683,
333,207,461,903,378,731,898,200,498,662,422,903,583,167,691,954,969,963,373,
902,249,867,768,213,016,140,392,019,942,084,593,214,388,249,970,075,587,706,
319,147,040,967,747,474,018,892,784,579,525,657,950,386,713,804,183,599,670,
332,823,035,146,538,714,129,433,448,548,153,655,119,206,510,662,924,516,864,
083,147,866,181,521,089,306,138,506,162,712,405,214,784,614,001,233,456,205,
489,714,993,987,534,234,168,503,135,806,466,780,694,730,964,050,010,319,494,
681,964,691,934,818,929,135,315,720,671,527,817,641,279,925,558,019,171,605,
581,580,412,752,266,943,909,773,372,302,097,393,612,745,579,586,070,180,764,
071,028,097,224,442,670,362,277,873,980,558,472,977,531,301,229,491,847,750,
856,946,777,575,127,457,012,068,340,098,790,501,728,453,113,007,522,278,850,
696,660,525,913,998,012,569,025,130,115,449,401,826,851,943,232,130,301,690,
426,244,600,718,543,405,122,138,512,865,295,009,994,928,664,728,686,367,692,
011,246,699,411,798,867,349,271,499,724,192,539,897,470,918,264,111,541,417,
136,620,129,800,290,540,269,634,597,890,079,143,607,642,557,113,189,819,334,
702,182,690,946,959,621,544,559,333,848,950,984,057,885,620,307,437,875,560,
026,299,956,868,679,090,539,789,821,388,882,822,081,844,260,745,127,519,216,
477,824,768,570,663,627,159,574,719,153,913,573,380,152,797,757,726,003,896,
262,260,252,949,122,120,813,314,013,989,289,607,366,214,937,510,234,224,576,
431,090,367,660,835,921,570,426,562,818,313,238,340,389,240,404,204,807,152,
342,268,397,813,022,295,242,421,249,235,350,997,441,192,350,953,541,061,495,
365,885,717,668,989,059,208,251,753,242,986,180,299,850,489,212,313,386,118,
965,693,766,141,034,132,827,925,171,460,863,826,807,443,415,186,899,200,087,
017,853,470,489,053,484,107,555,151,844,236,521,313,788,394,156,760,821,341,
008,439,705,386,650,398,775,402,070,857,511,937,013,326,159,853,417,354,050,
010,028,175,526,263,846,195,368,530,901,683,414,723,165,513,262,295,630,701,
260,041,410,190,352,806,560,154,715,938,097,268,525,159,841,086,039,112,326,
297,381,788,658,743,103,331,962,713,196,848,055,032,983,422,090,923,771,980,
003,710,580,790,887,684,736,564,708,992,443,192,141,566,662,994,856,240,859,
193,863,256,838,250,182,055,333,429,635,474,901,390,293,015,500,050,498,773,
229,541,467,341,390,836,153,586,732,532,842,686,824,891,364,977,328,109,354,
611,756,605,132,931,873,734,226,373,808,206,384,324,468,877,944,017,113,588,
016,117,500,552,345,786,605,307,533,581,792,355,908,254,655,573,785,292,285,
419,369,610,832,721,389,829,331,722,391,462,214,731,828,940,674,284,455,645,
955,085,085,714,400,017,707,630,670,728,201,193,627,736,560,011,626,868,829,
611,569,979,816,493,110,455,637,153,181,791,763,578,568,787,435,286,044,840,
305,165,005,352,040,691,880,919,118,351,969,721,636,901,173,898,631,496,132,
333,898,514,838,530,925,908,987,383,532,722,575,269,842,234,395,975,006,333,
996,108,781,411,564,319,942,762,874,315,568,433,126,664,832,081,451,034,727,
529,452,024,930,456,748,167,089,525,572,391,631,052,017,470,211,478,348,484,
540,568,161,911,242,236,877,521,347,008,895,525,323,538,216,624,404,978,868,
057,849,771,955,967,781,537,136,234,398,425,859,757,153,806,329,771,743,311,
217,952,579,323,584,197,100,965,122,461,219,392,384,994,748,210,843,138,559,
525,576,231,967,481,443,700,827,254,886,954,737,639,506,287,793,657,010,211,
145,352,099,400,698,244,009,604,041,965,553,568,882,183,725,518,022,561,211,
692,574,953,624,169,628,416,192,413,834,759,085,225,630,889,517,076,459,165,
830,312,808,365,299,009,334,615,317,319,323,418,647,662,369,165,308,280,022,
916,346,419,627,404,169,340,552,065,337,837,922,341,371,417,730,475,313,178,
655,713,767,161,293,960,477,323,129,393,506,662,500,476,857,892,339,096,778,
389,516,567,999,642,536,840,441,811,855,887,495,879,974,533,682,929,483,350,
500,153,482,285,129,754,404,009,266,924,305,171,698,849,821,981,290,468,050,
990,426,173,586,280,002,520,817,425,369,030,440,422,400,832,121,074,297,985,
308,446,795,420,648,853,342,128,495,182,721,488,240,214,220,457,933,420,676,
620,147,270,938,524,739,772,586,518,847,922,487,098,535,611,280,902,566,047,
216,577,901,322,571,688,686,749,203,542,863,250,175,652,696,688,147,025,289,
385,402,366,189,920,511,070,876,200,365,854,845,284,492,839,754,526,885,540,
225,817,881,674,475,962,304,781,171,447,545,107,472,372,099,550,073,421,152,
532,034,015,078,917,978,154,379,543,317,194,974,323,397,110,916,878,335,868,
043,783,431,404,655,992,756,345,921,908,006,983,818,844,491,058,997,630,554,
501,709,350,818,867,427,356,695,199,205,646,521,533,344,852,019,439,136,070,
333,823,817,836,563,269,895,591,884,242,465,659,521,255,434,446,031,321,413,
187,419,623,597,360,878,276,261,914,217,133,926,006,090,085,158,810,195,301,
113,426,016,464,274,512,540,587,781,644,294,692,271,507,172,490,207,810,354,
186,610,671,997,070,229,688,593,861,392,773,369,255,477,915,142,512,435,240,
206,903,472,194,486,414,366,638,971,544,465,999,885,456,775,876,955,019,390,
536,516,999,038,865,131,316,854,062,641,150,925,427,428,069,719,056,760,603,
335,895,551,667,115,208,026,555,217,603,734,616,606,573,598,171,399,493,140,
027,936,514,513,606,671,386,893,002,095,299,335,120,696,210,061,784,734,728,
502,002,393,290,314,473,933,562,151,636,846,208,312,541,512,873,154,690,385,
463,253,732,593,259,080,137,351,508,758,451,614,533,108,203,472,495,858,528,
447,993,705,844,318,593,812,979,923,229,256,662,336,281,928,189,627,603,769,
421,710,699,250,814,421,412,158,186,110,173,633,293,724,685,267,696,524,154,
451,748,666,375,094,068,511,872,915,990,850,023,511,319,834,261,650,459,022,
041,481,849,748,673,484,891,141,856,460,055,471,236,548,548,166,355,459,566,
966,230,294,736,917,389,911,977,073,461,888,102,880,987,393,349,236,306,844,
402,881,179,101,292,748,841,658,505,593,306,908,694,913,540,348,847,782,641,
776,520,733,078,642,073,857,816,192,621,721,691,169,152,379,180,294,924,933,
425,541,583,359,914,629,789,621,086,034,081,370,474,591,535,285,218,504,585,
247,851,167,898,205,034,976,993,601,996,999,263,331,879,207,640,505,773,222,
415,479,856,433,291,927,595,322,812,299,705,175,960,793,927,589,838,989,405,
754,971,252,137,391,666,714,577,133,011,831,935,713,961,700,198,981,629,888,
020,465,997,569,843,092,801,058,388,715,410,460,063,372,053,791,143,713,605,
748,039,632,236,020,913,708,988,790,168,536,206,162,761,337,807,309,273,285,
536,518,366,241,981,100,233,895,106,320,166,663,367,402,836,113,763,014,815,
749,582,378,511,829,351,587,691,315,443,107,147,780,475,946,041,296,806,656,
239,540,941,805,766,288,929,533,893,508,056,115,044,613,136,770,891,219,556,
683,643,459,542,957,994,632,582,366,277,696,230,239,246,105,865,321,648,283,
332,170,507,619,101,672,202,301,644,678,909,144,339,337,544,682,944,049,924,
107,718,308,546,273,406,667,039,336,967,292,853,189,078,224,645,041,054,199,
645,981,547,881,823,482,167,701,699,268,845,883,419,984,159,284,752,634,777,
212,976,562,387,532,735,416,007,936,670,067,184,690,913,898,053,755,352,285,
609,761,474,222,102,805,272,768,698,042,862,459,741,022,212,487,787,604,122,
571,921,848,440,048,534,139,877,497,512,819,778,255,877,317,362,474,919,190,
152,768,506,398,364,080,046,737,089,862,439,315,163,165,949,770,013,248,863,
992,692,727,446,500,784,560,311,462,394,109,060,859,223,286,374,364,192,966,
179,545,541,879,229,019,778,629,332,754,478,815,761,520,463,467,867,741,669,
761,187,292,472,139,900,309,137,516,664,829,587,104,765,585,177,858,831,612,
669,531,683,720,568,890,351,289,799,808,209,984,745,698,535,706,579,980,795,
729,718,129,939,149,796,750,211,060,235,589,574,899,071,084,688,549,931,272,
886,519,110,040,278,242,883,482,760,609,617,046,880,089,803,176,131,690,347,
159,428,416,216,373,431,518,644,514,000,283,125,469,033,322,267,470,497,107,
618,770,404,267,041,676,024,820,292,340,244,833,582,648,808,712,351,630,511,
727,007,610,177,222,440,075,624,624,610,695,656,440,356,490,486,935,095,522,
085,207,545,820,467,466,986,895,524,610,472,700,002,549,606,805,832,660,327,
328,498,352,568,052,045,454,278,261,537,459,851,684,055,959,234,980,022,469,
045,075,477,336,767,371,551,681,926,760,204,302,963,654,209,600,357,609,233,
532,073,772,613,851,434,340,365,403,628,732,503,113,667,199,497,611,510,692,
330,664,498,958,520,563,345,240,269,357,590,703,609,716,602,389,604,104,630,
837,060,593,162,567,887,857,452,602,173,895,922,600,756,623,151,121,935,861,
562,442,061,577,364,969,122,371,957,642,865,332,874,259,206,397,562,290,621,
669,374,963,851,221,241,619,674,976,377,673,918,837,153,030,075,855,266,927,
340,798,813,821,065,689,502,582,900,811,215,003,803,425,967,763,407,704,700,
479,797,209,346,367,280,806,838,082,375,071,911,131,420,548,143,712,921,893,
360,969,585,550,375,270,421,060,649,767,972,167,085,076,460,551,197,931,881,
349,696,102,450,282,147,600,925,708,646,055,758,922,563,887,124,070,788,816,
884,667,226,868,119,036,569,338,219,941,997,815,006,131,809,771,376,632,826,
963,957,283,303,480,443,185,846,667,140,302,772,262,627,872,545,366,108,580,
284,036,072,574,604,421,228,956,855,556,676,887,988,295,582,355,186,145,543,
429,219,574,939,135,509,459,188,009,102,652,832,661,922,833,410,468,332,575,
707,668,021,267,724,384,532,559,631,770,876,554,611,902,415,168,604,333,927,
814,786,501,185,965,928,235,428,662,868,745,403,745,226,369,252,332,523,796,
040,270,854,351,392,344,406,878,348,385,332,295,454,243,469,588,450,319,913,
484,350,406,748,263,928,696,635,646,801,736,526,643,897,441,491,286,095,271,
693,029,572,184,661,501,726,217,425,243,579,929,715,909,845,760,433,670,352,
812,934,610,104,489,432,919,794,538,633,238,284,643,632,087,494,705,207,221,
810,204,986,883,677,968,410,649,439,152,847,688,009,426,126,880,839,824,677,
340,825,059,991,084,477,966,820,045,245,863,862,087,038,736,023,683,136,240,
537,485,159,377,976,910,268,266,953,795,381,561,077,401,197,658,805,485,359,
620,088,388,510,718,774,351,220,683,266,458,450,166,770,941,795,910,373,229,
383,263,428,105,278,127,135,335,410,988,063,251,994,349,729,647,096,554,195,
079,964,223,702,692,932,840,283,227,226,284,792,227,461,298,699,521,234,148,
337,042,299,449,969,276,425,440,986,462,816,042,279,760,005,854,398,420,802,
064,831,211,074,451,584,737,965,662,912,367,942,762,744,540,813,513,117,050,
180,546,358,878,954,023,352,929,862,469,945,798,936,787,733,504,853,628,930,
342,523,734,584,757,603,788,735,816,019,294,347,646,288,026,442,811,135,725,
727,968,699,988,769,404,888,141,676,129,579,398,678,493,106,673,407,510,911,
038,978,522,665,209,191,280,485,408,225,265,621,392,331,733,682,156,963,466,
384,779,268,804,787,645,687,271,958,433,187,371,297,896,526,393,847,470,720,
754,147,430,653,250,203,827,755,350,390,599,140,681,738,528,774,875,660,149,
765,978,624,493,146,863,581,657,353,939,094,099,511,878,691,866,465,806,470,
906,859,127,629,115,447,591,129,034,134,683,033,003,672,081,551,779,624,072,
139,900,738,918,449,595,371,614,596,590,436,312,361,050,056,972,145,876,128,
228,056,967,249,888,462,321,965,008,123,990,155,963,067,479,249,078,470,390,
837,223,135,408,425,872,115,070,378,646,854,942,335,659,891,064,331,760,311,
188,010,608,539,949,979,081,077,264,482,724,333,827,206,676,923,441,702,282,
412,483,052,100,048,249,973,679,031,362,068,612,426,789,065,133,194,306,454,
012,358,891,882,775,222,100,025,365,541,441,690,401,634,026,134,356,179,691,
761,256,719,007,716,109,573,316,363,325,769,000,259,227,283,727,005,925,759,
434,704,359,504,664,916,980,025,091,321,132,896,664,771,497,547,788,897,270,
645,466,753,585,165,173,527,567,643,637,792,729,803,993,196,954,864,298,053,
726,892,503,819,550,931,547,023,829,134,505,093,542,153,667,846,441,833,568,
578,486,409,492,862,709,160,761,107,403,249,746,127,108,749,834,584,539,864,
579,391,737,993,221,378,489,345,974,988,760,324,494,072,594,794,716,061,348,
092,028,919,759,807,968,380,253,611,372,091,940,989,504,976,569,804,597,739,
769,075,293,221,897,519,202,959,994,868,842,717,538,123,533,348,426,605,605,
976,630,163,719,969,381,458,306,644,271,149,077,253,434,308,122,123,160,731,
126,563,199,221,182,942,423,496,548,856,683,357,625,635,244,726,527,676,943,
849,204,802,471,566,402,139,195,999,446,209,075,581,813,033,804,468,700,626,
175,598,577,209,771,649,165,237,636,037,612,039,510,489,040,113,021,170,711,
278,760,120,064,536,375,242,553,487,054,142,313,920,413,217,081,890,295,270,
540,105,409,355,230,919,065,216,466,969,832,922,007,780,195,033,514,268,886,
034,419,130,785,929,685,236,999,404,998,093,677,172,893,420,767,325,783,764,
391,108,036,292,384,617,047,153,999,480,609,482,503,887,525,068,760,657,854,
257,520,882,439,604,654,180,548,853,647,252,790,753,063,772,393,296,984,254,
676,459,754,603,990,802,756,214,248,641,883,721,579,820,838,641,930,471,587,
779,991,329,105,851,936,150,660,814,398,027,168,535,948,383,400,236,946,120,
358,653,832,850,467,316,704,701,001,875,898,162,703,618,888,508,196,133,041,
633,235,881,719,224,956,710,094,656,998,061,139,104,106,383,953,820,995,173,
595,402,374,118,901,267,746,747,456,058,779,976,402,001,518,931,381,171,290,
984,541,310,713,699,854,047,204,036,069,915,501,851,464,925,277,066,636,724,
040,760,419,559,774,711,140,218,515,947,571,054,068,583,453,823,823,552,407,
267,758,946,432,821,752,862,373,180,150,120,849,365,411,096,160,062,748,872,
821,293,519,084,371,756,722,591,446,938,642,547,405,791,530,356,638,692,924,
666,721,542,616,657,619,619,179,836,789,199,364,999,051,840,945,927,866,220,
146,495,667,219,961,766,819,687,960,268,928,369,273,890,881,989,375,060,741,
880,664,769,248,984,451,848,669,731,499,089,085,084,174,946,131,542,112,445,
669,371,943,858,744,360,045,630,090,238,083,546,417,111,526,641,746,385,485,
033,446,801,111,068,750,399,708,986,137,475,370,659,596,214,694,342,434,734,
814,917,933,367,486,064,770,276,911,955,341,627,844,907,916,594,014,914,725,
516,496,624,577,063,456,609,755,876,868,849,774,398,432,950,144,299,143,676,
017,780,956,599,953,499,602,183,244,314,151,076,190,175,996,236,774,429,482,
778,982,258,937,230,350,496,123,316,835,093,722,985,509,274,460,542,844,924,
624,775,822,765,965,465,122,592,321,100,786,302,308,776,161,972,536,089,308,
498,153,093,325,195,098,410,665,229,207,497,821,694,196,458,839,749,689,587,
932,793,436,195,838,568,813,156,128,880,903,717,100,336,354,706,456,801,337,
759,879,761,325,360,972,700,405,516,055,636,624,663,559,126,666,734,550,216,
643,659,725,079,537,552,659,406,686,098,242,547,355,655,286,426,576,870,773,
243,376,034,363,362,224,646,758,471,831,343,588,175,235,030,778,514,719,622,
891,724,441,749,403,752,031,384,005,690,664,290,981,925,298,462,964,160,100,
193,558,116,117,362,788,624,183,235,311,804,550,678,730,095,997,609,618,721,
856,973,811,553,803,256,864,166,294,807,444,474,427,791,422,453,456,137,055,
129,926,888,116,431,433,384,968,784,927,951,156,583,060,084,880,532,456,628,
348,745,688,846,183,201,379,118,767,500,136,720,130,573,857,244,996,807,168,
031,074,156,853,669,071,351,089,437,803,572,159,193,167,744,170,266,392,169,
680,852,114,040,516,625,566,149,503,854,140,186,909,512,037,586,778,897,725,
864,568,167,302,095,081,439,164,851,094,669,660,988,495,990,161,002,656,064,
151,032,612,170,948,224,509,558,882,654,881,257,520,211,099,578,711,263,165,
035,344,632,251,353,933,925,647,467,634,809,460,086,164,115,753,490,644,693,
716,857,162,965,575,761,162,837,276,702,256,900,274,861,779,555,157,051,124,
890,292,504,680,497,240,054,988,515,047,846,644,734,627,036,157,634,358,339,
528,360,190,065,129,223,876,750,852,894,693,543,897,335,389,373,830,050,776,
975,799,663,625,826,855,461,959,504,397,408,849,341,573,186,894,747,466,651,
825,331,372,315,963,054,899,517,011,758,069,245,476,477,203,308,349,723,991,
954,944,509,372,839,850,932,962,403,377,333,587,614,045,597,879,052,504,945,
439,962,013,607,544,405,000,879,875,708,943,565,525,140,285,401,780,821,885,
865,472,776,474,072,389,925,167,393,155,920,546,599,377,303,179,112,935,891,
721,747,752,453,611,083,280,097,163,559,058,616,190,956,428,176,726,163,930,
800,134,155,653,477,091,211,129,724,426,031,347,459,980,599,294,599,135,115,
674,668,110,723,985,405,583,659,137,801,489,115,102,836,563,244,229,356,814,
216,855,272,716,638,685,033,734,906,939,710,584,028,353,403,770,580,179,393,
359,824,309,358,907,243,137,416,686,445,057,513,691,674,218,172,100,512,137,
526,632,423,820,622,548,559,512,355,083,600,964,022,320,244,466,171,901,277,
554,040,858,593,955,879,532,090,177,467,659,032,815,513,014,123,657,858,728,
541,922,521,358,114,929,298,917,055,869,110,264,252,827,277,330,200,791,484,
226,495,527,204,823,768,337,412,817,440,296,253,810,972,183,957,531,476,788,
818,953,257,428,888,787,292,294,905,861,862,388,423,537,977,600,385,008,306,
040,364,970,988,007,078,477,555,181,920,475,002,835,706,684,749,899,149,319,
629,419,365,764,287,388,124,858,402,285,166,848,941,983,909,888,088,623,836,
471,785,942,878,242,436,644,365,019,578,843,671,457,701,199,385,426,242,389,
580,392,558,224,844,759,432,835,183,780,011,996,079,930,390,835,724,297,355,
262,377,840,307,365,794,580,016,785,770,964,826,641,630,231,005,807,428,163,
665,710,342,258,933,612,506,637,438,980,155,514,058,345,004,284,977,389,020,
524,993,972,249,571,753,875,427,738,196,908,509,872,144,791,970,913,830,187,
037,494,112,040,321,244,064,191,978,083,626,172,840,213,442,571,768,249,977,
868,647,380,762,266,668,707,622,275,670,787,452,295,473,460,802,029,656,119,
579,558,027,122,151,041,625,617,212,749,541,952,396,024,582,342,187,618,171,
869,930,972,356,794,179,647,330,878,152,858,459,377,862,508,366,929,388,450,
444,095,734,250,939,569,830,695,308,564,341,925,573,164,576,232,263,561,543,
745,773,332,418,145,846,121,926,964,730,018,228,130,524,550,891,232,623,466,
334,247,402,847,566,116,600,837,680,237,452,583,794,471,252,512,678,268,567,
914,749,029,868,844,082,218,481,064,588,514,779,688,789,209,456,490,789,525,
882,457,788,305,216,494,946,733,958,976,781,950,563,091,309,594,719,595,456,
900,737,155,551,935,806,608,387,090,011,584,452,565,843,865,098,109,257,481,
249,116,305,338,381,726,344,691,736,597,439,853,002,460,786,920,272,181,234,
378,889,888,841,647,395,857,226,608,968,654,180,797,435,368,337,245,786,550,
733,257,831,331,265,788,337,576,092,742,030,574,941,761,153,411,608,577,527,
063,314,373,840,042,731,335,884,308,524,316,532,147,826,772,575,263,838,691,
741,995,625,139,149,478,091,094,888,735,649,086,575,285,026,878,363,543,403,
906,630,765,721,515,725,052,266,115,914,310,804,763,533,260,111,224,348,924,
130,908,658,761,737,397,464,617,460,186,416,849,021,083,007,518,689,938,774,
449,177,077,041,902,900,590,724,647,832,509,846,607,295,660,458,863,716,058,
555,650,334,418,016,145,206,675,140,642,251,367,449,511,315,403,068,031,173,
510,161,328,118,666,534,584,259,012,460,713,192,243,549,040,545,252,034,125,
133,573,209,216,046,094,244,414,367,459,589,134,147,727,921,175,221,394,781,
663,119,876,086,302,390,908,224,935,797,064,211,597,540,645,912,831,279,310,
388,802,596,865,665,663,519,195,134,909,259,215,779,697,498,903,725,839,817,
721,423,902,109,205,484,695,173,005,380,039,659,033,665,812,316,225,661,752,
977,080,264,275,366,533,957,279,263,413,355,769,923,791,951,101,472,638,701,
176,039,457,936,441,895,329,174,914,026,880,787,439,250,369,194,664,645,840,
466,074,595,515,296,729,069,221,535,546,627,702,268,467,875,302,724,173,833,
455,856,197,743,793,462,987,002,200,332,642,949,689,978,723,651,418,556,828,
106,835,271,608,349,927,142,284,928,134,314,473,029,551,519,190,193,966,545,
966,227,173,350,409,251,120,196,907,303,305,788,777,727,798,682,070,988,331,
867,335,217,240,777,074,533,269,334,872,037,104,258,820,063,929,184,736,257,
418,191,359,858,485,080,600,645,529,756,720,789,953,710,923,930,248,577,274,
910,185,331,736,367,328,709,842,593,395,870,382,857,854,432,638,374,184,899,
415,010,248,523,362,893,683,230,202,221,311,691,910,941,715,541,449,476,739,
228,246,117,736,156,714,113,391,188,968,480,270,721,439,031,079,323,548,018,
621,368,248,388,719,197,017,566,996,218,583,902,866,961,356,785,202,461,891,
188,404,318,804,275,147,751,073,020,455,607,488,904,804,706,275,185,249,535,
434,648,759,727,484,426,430,696,330,209,409,630,513,311,861,195,532,313,126,
274,486,502,372,763,621,810,907,141,326,974,168,660,223,311,482,522,564,046,
129,070,234,031,624,486,806,888,760,773,058,198,421,191,180,540,313,931,326,
721,981,893,783,574,009,367,889,259,232,930,549,024,779,389,404,409,083,420,
781,701,923,233,937,374,512,648,123,727,268,395,796,280,993,140,510,436,645,
618,806,365,418,603,112,570,970,820,394,051,187,000,105,324,653,960,199,455,
530,040,482,401,655,391,387,373,290,923,556,395,562,382,067,656,749,782,584,
571,548,356,979,481,980,918,621,395,612,095,554,621,016,532,186,139,880,697,
237,755,060,878,173,034,998,061,205,674,321,760,434,454,820,334,704,934,143,
245,837,720,919,385,742,888,158,101,176,376,442,913,577,496,995,558,001,319,
556,768,126,553,360,773,513,278,533,902,585,142,441,990,323,029,986,063,961,
296,385,759,987,814,301,356,604,533,646,222,145,685,925,682,181,655,055,903,
132,880,591,237,337,818,680,831,063,252,935,952,667,327,162,664,894,734,415,
611,082,020,759,860,960,014,496,548,007,124,653,424,705,362,486,693,234,526,
258,579,936,735,582,796,054,517,990,067,322,130,820,720,351,558,068,841,985,
360,580,818,970,296,476,016,710,385,895,920,122,502,010,117,725,262,662,803,
848,885,804,786,698,659,483,668,315,328,543,519,275,846,704,564,367,998,091,
498,983,593,296,356,631,073,763,282,639,005,263,205,544,400,563,536,524,830,
977,784,592,279,475,355,632,727,237,412,283,958,027,030,083,672,720,039,687,
519,299,491,210,520,767,270,934,041,761,612,930,607,148,846,661,229,039,317,
267,326,496,610,833,633,290,045,921,024,949,525,692,911,274,206,688,710,019,
098,528,092,820,054,909,936,561,543,205,991,545,424,400,444,000,857,768,901,
134,244,291,597,613,794,665,650,998,635,565,034,697,924,974,707,060,417,045,
053,914,074,387,707,363,958,498,715,460,891,096,633,055,732,057,532,242,826,
803,058,877,435,603,355,560,477,566,118,350,249,981,142,455,534,643,459,732,
254,647,985,132,593,946,888,652,508,545,767,081,068,988,589,181,290,234,386,
173,660,994,581,118,291,078,261,748,843,158,259,693,591,435,952,188,642,467,
405,258,422,713,298,483,389,661,847,488,227,145,304,008,863,903,346,912,973,
576,619,567,687,669,826,291,096,490,024,284,237,812,175,100,792,940,544,677,
410,674,910,205,782,801,009,494,130,770,599,435,726,666,049,278,545,772,655,
810,398,803,894,345,819,807,176,518,830,215,334,620,108,307,165,964,293,360,
059,755,567,179,037,403,818,348,683,003,656,240,892,474,491,630,215,348,957,
238,946,654,984,764,731,251,106,493,115,721,337,461,902,743,765,811,792,400,
566,402,876,530,416,551,116,460,424,957,824,732,503,952,354,079,080,946,257,
101,645,694,596,949,603,267,122,756,430,633,746,149,698,469,995,404,006,544,
158,588,370,764,064,490,600,297,525,863,510,460,040,857,805,448,461,372,250,
631,984,407,949,846,409,622,454,286,908,229,547,489,114,564,907,251,314,839,
430,172,912,227,986,695,215,921,414,319,332,332,033,535,055,638,423,888,465,
989,540,190,032,127,154,363,243,248,423,427,635,118,585,230,942,244,776,098,
940,761,488,035,061,023,740,916,238,746,102,508,904,321,513,255,311,404,734,
196,448,243,403,993,712,999,179,436,610,983,075,076,752,109,910,878,601,232,
927,106,064,981,564,219,065,009,592,635,418,104,934,004,523,254,550,256,253,
361,840,029,393,637,509,325,931,633,798,937,982,119,798,093,717,505,534,097,
956,519,005,654,456,506,514,272,136,645,137,950,726,961,130,345,418,505,383,
294,320,383,762,921,593,777,020,231,330,114,762,525,991,158,038,350,713,662,
695,949,865,581,139,168,168,793,553,842,931,506,988,176,312,882,717,944,907,
239,174,136,885,680,903,367,116,347,570,552,489,896,322,727,765,151,928,885,
520,235,367,095,810,958,684,865,264,192,630,094,143,829,970,519,965,930,443,
721,151,535,729,611,878,719,099,578,070,337,004,901,924,088,322,338,231,133,
155,422,553,382,567,029,048,021,498,198,402,674,546,611,973,477,095,221,387,
130,190,971,590,779,492,620,914,981,924,864,697,475,513,997,241,320,931,286,
604,482,653,864,640,319,837,503,050,328,011,860,321,467,748,957,624,370,191,
039,577,065,545,065,123,237,426,545,890,427,666,314,997,786,119,859,974,036,
068,732,399,524,516,906,694,044,494,362,023,536,594,744,788,605,252,204,365,
512,878,750,482,552,381,361,776,105,238,106,399,685,447,357,894,503,249,599,
684,264,257,947,317,003,739,650,250,064,812,972,402,034,791,847,421,018,278,
512,247,129,563,253,743,175,376,045,841,140,470,493,932,265,892,493,749,072,
560,457,620,400,853,909,878,356,019,470,344,562,882,772,367,459,249,179,480,
697,112,112,135,635,739,856,036,297,691,259,283,144,030,930,189,128,377,131,
628,662,810,623,149,431,847,019,126,685,804,944,479,522,292,152,783,944,960,
977,391,488,464,494,225,662,670,193,621,160,525,632,274,700,851,522,895,482,
248,758,587,912,606,523,222,007,137,204,169,788,081,849,205,474,826,478,966,
172,400,451,288,920,457,354,262,837,052,464,492,815,864,119,663,709,672,131,
886,540,854,954,945,058,743,112,022,057,712,007,762,072,268,549,613,920,909,
218,773,717,653,360,263,372,766,728,147,577,885,720,191,213,808,500,095,916,
788,938,790,835,786,345,552,901,794,451,467,267,130,712,318,917,692,891,733,
140,390,127,009,089,569,125,734,372,166,878,815,276,500,030,574,473,755,156,
925,033,292,662,453,986,138,297,075,380,850,742,228,127,890,499,204,177,153,
220,995,895,497,655,029,876,465,637,222,414,942,122,398,838,278,186,803,650,
511,600,387,724,413,926,836,838,193,828,172,003,251,766,120,745,861,209,360,
615,701,647,977,668,713,805,310,956,530,898,721,065,186,647,356,073,878,953,
533,016,088,383,715,943,042,565,988,013,954,585,188,567,904,088,953,269,569,
950,252,112,504,726,478,720,867,973,467,179,091,757,639,018,254,448,078,688,
321,955,133,260,301,297,732,112,198,029,766,327,590,102,777,592,863,167,985,
518,939,118,988,519,353,734,392,385,644,918,162,981,634,875,475,261,159,928,
959,845,510,857,592,621,989,855,575,124,032,718,253,957,949,154,620,595,341,
272,321,014,437,026,284,035,075,835,548,925,031,101,397,249,608,235,184,049,
028,596,432,606,258,333,262,876,547,742,191,269,127,573,563,465,084,002,049,
185,257,682,253,300,592,630,285,524,397,288,172,747,746,768,765,429,923,175,
020,214,303,633,452,261,104,688,860,860,232,664,457,127,651,328,991,576,372,
950,532,190,494,039,423,153,337,457,066,923,349,582,720,371,163,672,998,480,
398,679,102,406,917,809,768,296,459,387,468,577,036,179,643,815,401,345,540,
883,832,499,001,330,343,405,107,731,177,675,854,596,866,193,657,076,195,376,
438,725,959,783,025,505,050,510,556,379,823,113,136,273,155,129,653,372,537,
909,837,578,641,010,656,196,706,838,747,282,089,950,137,622,823,213,841,274,
398,089,767,333,099,140,450,487,614,302,910,812,846,354,384,093,990,772,033,
189,953,849,584,152,706,229,320,418,689,296,349,278,061,648,463,860,565,079,
140,505,825,176,872,809,357,528,162,332,680,174,851,512,973,164,613,150,146,
066,366,090,857,401,194,659,995,690,767,306,896,594,939,358,813,892,009,941,
836,035,408,458,079,887,584,606,846,044,276,025,651,970,533,879,170,996,209,
958,625,227,121,933,582,383,262,554,567,634,465,835,818,631,892,762,922,072,
972,978,067,974,555,310,545,695,908,283,959,719,419,603,925,066,915,422,142,
190,039,925,147,579,315,358,491,834,376,223,769,519,204,503,791,330,085,246,
609,154,052,954,717,942,077,609,641,061,931,535,277,926,859,198,226,820,021,
044,248,922,189,281,307,554,806,147,444,575,423,825,126,729,213,002,568,188,
559,710,765,305,696,555,159,738,876,883,107,493,541,795,653,820,471,002,753,
372,778,627,560,893,801,996,036,830,234,634,688,787,070,598,767,698,624,100,
964,369,151,635,703,031,172,947,791,975,008,301,202,310,203,336,283,416,691,
931,661,788,784,755,120,272,308,649,236,714,886,675,204,720,801,926,129,429,
654,172,948,389,488,524,955,740,654,668,933,951,212,312,484,981,578,242,343,
551,292,339,196,427,851,761,479,444,829,343,142,785,378,497,318,574,410,001,
230,203,080,741,151,642,339,236,625,652,480,127,117,583,159,458,896,005,287,
006,900,265,960,669,500,743,390,968,677,992,170,179,546,738,214,921,946,090,
728,525,941,330,511,955,548,956,888,499,440,311,657,369,259,671,020,857,800,
329,282,330,670,823,714,697,868,494,439,699,733,888,010,174,503,814,171,312,
285,825,290,200,791,817,503,275,622,042,880,550,189,752,812,879,542,667,033,
662,929,019,193,407,039,008,991,617,448,563,653,013,637,462,557,799,623,493,
475,271,540,528,466,805,204,116,690,179,833,952,667,284,386,259,154,780,956,
056,706,621,944,562,030,646,780,544,347,490,203,278,984,730,041,616,268,823,
500,957,985,035,415,838,762,864,263,944,639,048,043,845,282,466,585,823,036,
304,954,337,388,786,984,022,154,725,156,789,253,991,364,581,357,918,947,333,
616,349,764,123,209,423,721,909,063,061,397,458,470,970,541,670,699,034,726,
408,335,313,112,313,831,379,670,004,298,741,683,342,395,624,324,178,587,073,
378,366,841,013,104,833,982,922,462,326,113,823,272,308,505,445,032,324,937,
429,784,995,014,438,012,163,129,172,303,959,283,324,203,665,198,602,610,524,
822,329,960,671,474,177,237,759,177,931,242,417,188,050,607,395,701,005,785,
904,658,863,711,604,703,985,582,566,310,738,319,381,447,790,974,193,210,318,
032,228,945,506,213,255,160,155,482,636,305,609,395,647,981,972,786,358,883,
480,838,081,634,112,308,863,678,298,201,974,384,350,580,528,947,425,586,264,
552,392,140,707,112,316,638,104,408,478,993,763,789,222,646,349,209,195,176,
584,602,515,981,486,403,302,164,974,958,184,221,873,217,543,919,509,184,992,
613,825,635,338,814,707,650,727,272,347,239,877,015,560,932,966,490,073,454,
644,300,997,680,529,243,517,582,384,593,409,939,221,585,764,048,861,429,538,
643,523,295,308,763,878,403,319,850,216,570,811,072,368,213,363,872,253,253,
805,666,838,156,645,674,327,328,041,378,663,645,951,910,034,825,888,639,552,
284,282,342,011,854,039,708,274,405,020,241,567,725,673,821,510,568,469,250,
215,705,591,328,270,551,197,486,921,378,876,927,202,779,883,487,933,445,246,
708,537,194,218,603,330,751,030,846,493,409,310,617,414,838,336,035,094,974,
120,098,766,266,503,644,810,272,249,772,122,452,685,192,213,982,762,206,051,
067,800,102,262,737,544,918,917,182,978,823,078,953,380,062,449,100,128,295,
438,321,312,788,589,026,659,443,854,626,910,919,779,947,206,314,563,929,821,
784,751,980,421,751,765,099,294,097,458,732,434,005,243,163,419,034,530,903,
806,471,008,517,488,724,051,569,052,526,692,723,852,377,646,187,964,682,872,
046,782,417,689,609,848,504,647,251,281,360,963,623,608,216,977,148,879,448,
689,532,329,781,995,228,499,908,707,586,128,632,870,902,819,146,571,423,463,
461,934,179,224,547,166,533,191,995,146,618,223,373,196,814,514,976,015,556,
508,771,475,400,649,151,356,397,047,435,267,558,876,303,516,894,927,073,055,
319,327,351,091,984,106,713,351,241,939,708,637,771,902,160,474,826,636,324,
245,916,230,755,349,284,896,440,272,234,386,336,189,492,925,385,391,394,169,
714,501,240,413,106,504,665,464,663,135,172,252,962,949,809,838,703,702,371,
883,747,147,748,719,164,796,535,131,906,451,529,822,011,445,270,359,412,759,
300,990,451,140,197,267,498,295,631,852,664,474,286,004,003,694,130,381,002,
966,968,379,535,749,725,103,563,100,029,025,492,224,565,421,721,465,428,921,
253,549,628,650,477,293,211,772,992,697,951,854,352,023,674,003,045,291,101,
159,292,010,389,111,676,236,095,675,517,751,656,443,069,423,383,461,390,572,
324,959,841,577,256,322,579,156,196,217,692,607,398,538,466,792,304,287,073,
370,083,811,172,428,742,574,914,596,155,490,996,400,125,371,239,826,529,857,
699,071,648,681,299,127,266,687,645,094,920,378,431,035,242,222,564,732,050,
913,354,735,505,354,938,759,032,337,550,049,854,301,067,106,747,057,961,828,
993,477,188,158,613,444,448,154,479,637,297,645,684,323,837,310,230,054,654,
843,271,321,618,829,574,862,929,729,972,212,985,934,341,797,117,105,571,890,
851,195,693,324,137,333,144,000,260,877,420,376,602,160,472,746,176,253,229,
057,359,973,672,935,989,635,763,159,575,116,324,821,778,042,796,570,221,138,
348,146,735,030,697,259,492,992,652,599,676,156,446,905,600,079,118,970,968,
568,421,679,030,588,425,426,653,627,921,217,239,124,217,347,305,200,968,775,
799,734,768,287,670,462,027,934,450,417,551,931,219,273,044,002,034,030,662,
346,055,678,090,894,573,408,990,089,250,432,716,973,554,313,157,366,946,835,
025,793,867,455,945,277,108,748,607,840,998,443,704,504,214,358,470,117,611,
551,035,176,017,915,560,380,056,675,579,759,417,516,540,605,797,120,902,130,
512,871,872,632,545,391,696,875,626,864,778,501,589,456,830,131,881,046,278,
577,510,582,968,558,237,200,922,162,141,654,020,980,232,959,739,419,506,164,
129,146,165,641,898,391,992,058,491,900,217,862,701,738,048,965,206,941,259,
032,138,160,779,402,144,296,466,116,731,528,879,349,252,294,920,709,269,362,
393,257,309,450,738,526,482,206,801,122,552,761,542,741,532,922,517,993,065,
507,334,128,136,586,709,173,239,177,644,501,023,089,104,200,146,788,938,724,
590,791,096,986,822,605,909,558,577,161,138,850,948,183,181,968,035,051,563,
487,210,022,200,597,672,125,328,848,635,930,950,745,305,746,232,642,136,549,
241,896,455,964,159,962,505,332,189,914,997,063,578,793,404,423,637,761,045,
403,973,189,572,375,568,897,776,271,363,292,239,031,698,794,539,921,998,268,
482,322,388,868,987,852,345,760,026,872,927,697,687,398,296,915,137,387,570,
823,774,764,387,904,890,577,292,050,514,741,965,937,657,414,949,660,583,360,
757,653,233,904,332,512,885,535,464,926,049,233,907,319,016,531,311,784,165,
222,049,178,980,944,919,191,574,857,741,272,715,252,679,504,877,770,097,324,
424,502,638,107,823,873,330,878,436,732,267,500,389,647,405,095,115,440,848,
125,255,096,417,133,678,398,440,877,331,890,318,750,031,864,640,232,523,529,
614,443,244,638,370,661,388,001,464,524,505,172,519,133,946,258,429,460,993,
030,743,322,889,432,230,070,443,470,570,793,896,132,871,536,728,293,935,020,
295,266,973,803,739,913,657,494,012,876,801,265,575,953,073,227,589,272,051,
740,182,484,421,509,372,303,113,778,015,883,124,475,268,387,356,787,396,447,
114,493,809,055,290,796,418,712,447,506,273,767,725,433,001,923,536,967,373,
102,723,467,962,813,320,799,265,520,747,200,852,205,023,144,330,756,265,651,
260,072,160,157,060,515,246,288,450,907,550,032,781,792,042,473,919,158,453,
335,280,644,155,101,924,399,615,024,959,570,795,903,980,015,818,861,464,291,
860,359,092,891,381,589,164,097,845,753,538,341,860,533,363,210,301,425,173,
516,334,631,549,613,732,893,991,355,632,828,825,457,300,308,609,651,591,258,
564,950,705,702,246,966,092,379,357,171,952,757,918,989,917,725,803,970,646,
627,776,689,764,450,979,798,482,844,010,515,579,164,160,991,896,824,635,598,
345,632,627,592,623,655,271,024,228,274,150,702,279,740,779,848,066,071,345,
297,485,879,069,700,789,877,419,402,179,886,805,232,732,734,081,645,389,113,
640,103,546,200,298,505,660,234,828,772,353,268,074,465,767,433,670,103,387,
520,362,856,901,924,696,785,738,318,717,684,000,466,018,678,319,114,864,609,
929,110,586,206,162,588,275,142,698,232,641,507,342,780,558,931,874,278,124,
188,495,985,548,124,402,969,618,117,869,601,075,609,495,738,687,489,360,561,
510,356,691,212,377,777,099,883,509,100,801,699,418,319,480,563,552,488,198,
058,128,651,484,517,527,817,026,433,508,362,267,386,076,519,134,250,942,155,
753,100,039,394,566,043,741,638,268,871,448,594,904,833,429,409,833,295,724,
881,986,575,094,249,843,974,752,214,163,105,550,318,875,998,820,882,428,163,
994,921,146,090,793,450,938,028,668,452,368,072,879,026,698,209,330,674,608,
689,968,387,617,720,139,533,024,856,318,058,889,012,339,513,010,281,206,354,
229,056,631,873,371,365,682,671,185,867,687,581,317,633,594,902,479,017,603,
465,183,686,478,533,962,892,113,573,153,706,280,975,423,560,397,246,718,193,
148,983,087,515,231,818,533,869,438,154,946,559,823,275,647,204,347,922,005,
187,041,894,003,144,695,950,277,518,575,809,697,844,465,924,391,275,020,282,
623,214,881,265,471,632,925,417,898,283,900,631,178,808,201,451,921,031,992,
059,199,210,867,163,793,446,780,425,296,072,022,101,535,101,738,592,315,181,
234,702,750,086,914,196,261,369,280,614,426,436,041,188,474,828,852,319,526,
874,963,496,465,818,263,263,181,375,111,196,028,255,530,572,861,641,128,296,
412,713,276,296,212,513,359,799,195,500,465,533,270,622,913,892,041,569,545,
309,369,721,442,231,999,830,009,415,540,940,728,909,535,883,191,523,172,630,
669,711,097,427,802,876,555,209,834,800,228,174,807,468,047,799,058,825,673,
239,572,266,362,662,071,904,193,350,958,325,828,595,989,545,273,406,636,392,
809,147,457,353,092,124,940,403,612,936,675,952,815,057,749,700,051,692,875,
354,035,140,204,152,915,538,152,615,575,787,815,715,900,733,655,143,330,164,
180,934,822,072,189,214,812,105,365,346,644,221,021,454,823,863,484,195,329,
403,793,858,603,415,330,358,274,024,392,439,540,834,430,445,752,865,830,292,
724,737,731,010,989,919,085,497,080,466,227,268,208,321,799,682,705,128,110,
980,286,557,637,790,971,298,983,231,026,238,094,074,027,080,883,200,212,761,
349,490,017,396,641,749,426,037,048,350,725,512,770,835,634,951,791,657,655,
783,139,964,995,478,681,713,852,538,798,751,307,205,182,091,538,840,651,809,
628,036,549,203,481,413,596,150,810,433,211,435,956,646,061,640,478,441,685,
834,141,820,360,068,583,789,145,956,613,080,779,138,026,500,771,742,668,461,
093,027,448,577,817,257,576,385,395,617,076,124,167,530,759,629,535,928,394,
903,587,309,852,290,883,970,879,079,346,566,116,924,334,002,633,150,941,850,
706,245,835,482,252,306,495,998,348,668,885,760,325,753,906,957,970,655,430,
635,922,840,261,903,475,155,834,547,709,428,629,782,887,183,179,275,858,135,
577,578,344,638,416,683,724,044,660,701,160,532,027,189,187,853,351,849,934,
624,152,367,727,187,933,619,335,639,837,033,183,931,052,481,029,140,665,800,
469,594,190,754,801,232,411,172,477,287,921,307,209,382,788,699,935,446,163,
835,993,616,710,455,720,216,536,883,315,946,630,904,407,972,709,193,253,222,
431,466,258,181,621,099,608,280,184,696,029,181,840,505,471,700,464,810,365,
340,109,960,986,188,509,390,579,492,704,908,356,801,697,846,596,367,793,184,
291,944,831,377,519,699,856,922,718,402,699,045,224,740,314,894,330,170,257,
508,444,125,114,045,385,103,925,988,639,587,262,826,116,240,236,328,200,939,
056,991,709,975,251,276,604,326,303,564,377,964,258,819,987,790,548,796,173,
116,177,032,456,620,412,980,252,452,651,149,492,505,858,610,456,002,350,700,
962,479,051,769,972,579,825,173,078,963,732,210,204,705,236,618,641,276,030,
274,780,613,545,449,013,104,196,537,075,453,282,394,700,423,239,699,837,351,
991,790,672,673,148,816,263,306,414,707,277,900,308,800,885,396,306,919,459,
993,918,080,534,043,929,198,876,763,674,292,965,207,747,400,606,208,419,850,
603,462,539,122,381,245,805,136,066,361,729,857,170,725,641,643,737,147,205,
747,288,459,340,124,695,877,562,419,618,401,074,884,241,086,651,173,096,012,
351,880,273,347,252,142,557,796,186,798,714,850,920,437,717,714,830,586,662,
078,255,409,163,328,531,996,007,891,424,134,395,437,729,338,463,053,043,130,
318,340,799,589,537,700,237,359,731,077,682,387,085,871,759,676,182,138,248,
159,941,149,855,692,859,613,551,671,855,015,868,070,583,711,717,777,565,286,
811,886,319,992,251,804,469,194,284,907,436,812,059,646,501,718,677,418,875,
863,676,277,986,437,477,245,906,220,572,203,983,274,756,992,334,541,839,721,
425,305,436,045,031,988,217,744,325,500,880,146,964,869,057,856,887,679,742,
165,722,003,857,169,163,163,280,656,327,232,317,172,474,066,056,141,776,729,
691,553,522,492,403,046,965,673,994,489,566,557,498,231,191,634,013,401,033,
104,890,230,663,696,754,922,205,451,233,289,713,802,077,035,653,501,746,175,
943,126,088,701,429,763,221,117,237,283,310,250,160,529,881,238,803,715,132,
327,581,106,081,729,347,273,420,398,057,337,376,870,623,475,012,787,723,281,
940,934,871,840,077,116,758,889,377,180,004,272,330,148,611,813,750,557,936,
015,100,242,959,368,562,303,572,311,872,398,112,403,585,847,039,150,146,808,
532,190,406,431,000,428,533,763,546,593,783,208,147,359,950,155,870,586,101,
788,475,178,535,314,768,809,493,508,111,786,301,753,750,747,636,002,113,207,
433,055,050,431,221,488,494,986,943,054,312,801,488,602,815,362,301,950,486,
338,737,158,912,451,779,421,810,118,978,111,703,954,264,338,538,971,535,788,
928,309,092,194,838,462,574,729,281,384,480,774,406,615,406,284,882,749,509,
954,534,048,927,155,351,844,511,432,549,576,236,097,704,711,076,390,461,160,
957,957,357,033,805,019,125,534,061,134,829,221,217,828,021,208,573,859,161,
473,798,201,073,768,072,514,990,460,068,582,877,153,002,496,563,446,596,431,
533,831,190,461,464,585,415,424,314,697,670,790,210,768,076,619,062,364,720,
212,712,062,054,695,856,613,229,685,221,426,427,285,598,483,699,520,595,475,
824,442,873,719,534,862,906,447,329,679,742,252,634,022,740,222,419,418,406,
210,047,813,725,727,852,241,543,382,910,292,959,832,965,994,706,938,460,805,
452,982,599,845,163,782,295,470,374,793,079,445,635,437,296,617,720,886,798,
262,355,616,562,113,554,455,407,024,861,871,357,137,004,471,870,936,201,347,
364,965,117,406,169,860,070,071,632,294,918,031,767,236,140,058,372,066,953,
692,979,255,933,787,653,814,708,461,670,354,766,141,635,400,237,773,230,742,
932,688,915,915,336,582,389,201,590,509,417,435,345,396,267,717,434,511,443,
620,802,599,558,897,921,098,614,918,500,330,799,573,339,614,668,297,732,469,
934,493,755,816,528,590,112,264,255,258,259,286,604,793,610,809,386,970,078,
958,344,952,878,962,472,686,204,595,234,139,487,667,824,907,920,524,246,897,
182,813,107,359,184,128,566,317,361,016,466,829,575,797,728,625,507,244,353,
840,377,997,128,771,429,590,623,596,023,086,787,548,067,092,404,502,269,558,
436,870,705,402,479,899,009,021,239,065,284,428,325,182,451,584,345,277,616,
010,771,101,360,122,181,348,923,472,709,292,567,971,151,953,562,663,138,036,
652,528,548,886,366,831,745,900,973,761,720,289,897,901,747,317,665,276,130,
324,521,711,324,247,589,222,556,677,862,898,078,352,486,828,152,312,541,942,
698,468,128,921,759,846,631,679,110,669,228,917,713,680,948,419,856,908,491,
204,267,701,582,477,520,768,352,598,776,813,404,249,373,299,044,863,798,563,
844,746,699,381,028,086,634,413,020,571,887,244,943,348,368,192,752,337,063,
926,904,650,288,243,567,746,914,898,222,157,927,985,426,183,591,434,082,732,
740,416,336,487,417,119,797,890,635,417,237,927,120,126,003,621,148,051,722,
147,723,521,601,884,790,523,774,330,343,482,805,656,316,100,505,987,480,605,
408,641,550,336,205,850,188,593,882,274,838,061,487,562,055,953,040,941,936,
337,021,174,920,909,241,949,925,355,000,342,733,435,796,674,098,523,100,428,
762,179,733,937,208,921,122,017,072,076,288,597,417,370,148,298,034,133,254,
467,392,633,167,972,629,661,977,420,765,183,755,415,593,830,581,843,495,252,
510,624,852,275,524,971,859,545,677,503,870,047,554,954,181,179,999,349,194,
150,022,673,064,512,407,988,428,672,774,892,592,477,678,122,690,030,401,227,
148,464,434,455,985,037,224,655,540,306,757,863,782,139,937,748,106,999,486,
470,886,918,787,893,796,160,655,068,302,665,917,278,423,599,915,104,616,667,
273,367,771,169,517,015,880,649,617,643,420,635,486,045,448,845,952,266,791,
227,829,803,913,312,973,575,466,530,352,079,852,389,995,532,629,214,193,240,
886,401,918,640,711,627,915,849,508,414,082,585,375,063,830,772,379,449,626,
413,372,811,669,634,179,313,237,269,033,853,201,144,159,394,762,180,502,355,
032,057,502,361,682,180,163,021,086,642,438,018,127,616,105,079,834,230,064,
048,644,278,481,161,913,308,834,959,227,869,677,307,142,341,285,410,028,269,
866,989,909,377,708,458,963,625,687,168,548,648,296,241,758,439,525,445,619,
839,635,657,968,511,420,933,793,134,183,433,735,788,794,545,542,348,826,833,
736,843,665,114,254,520,066,826,914,746,306,365,713,734,469,612,962,637,294,
122,851,577,657,965,872,340,646,541,226,587,251,830,965,031,983,050,041,481,
977,105,636,804,768,298,456,968,792,017,746,539,569,200,569,802,017,549,269,
346,770,315,081,551,733,760,199,948,457,978,844,075,250,666,693,583,405,704,
941,076,954,030,077,264,810,333,226,091,603,808,160,728,474,233,477,585,586,
051,153,421,243,491,068,619,098,642,110,046,291,824,198,617,413,253,801,713,
411,086,439,610,859,978,648,924,611,323,982,976,887,810,049,021,945,406,760,
305,705,062,417,251,793,854,194,908,662,238,615,574,304,507,767,796,831,052,
023,226,722,407,791,127,025,182,035,552,767,711,670,720,216,394,022,750,100,
144,651,585,559,647,905,456,593,293,279,623,466,466,966,795,211,163,380,593,
316,194,108,876,975,120,150,302,582,144,333,218,864,025,310,420,287,896,880,
893,163,285,716,031,032,376,652,969,995,090,890,815,415,166,192,663,812,796,
830,293,890,578,870,347,350,843,634,257,909,187,172,927,278,063,881,406,078,
270,390,443,013,144,493,567,395,061,046,480,797,628,336,529,410,791,749,348,
600,190,054,216,354,913,824,641,018,397,061,286,286,078,865,126,841,290,020,
048,809,386,787,426,176,163,651,389,183,117,113,412,974,077,837,332,641,353,
798,422,925,073,913,277,912,294,428,425,650,315,297,899,777,566,757,436,038,
334,595,495,026,273,906,966,770,199,905,347,969,021,264,402,006,604,502,256,
072,240,856,104,043,104,900,753,324,304,405,550,570,871,640,975,815,219,419,
910,350,793,072,468,721,900,086,252,222,457,276,265,657,586,039,032,356,235,
440,765,602,934,755,738,554,861,615,840,592,007,847,227,720,919,737,185,430,
320,783,162,563,950,994,143,579,682,229,263,954,847,075,316,607,936,538,219,
841,794,579,513,607,387,467,303,182,910,357,966,251,512,804,823,591,001,539,
670,702,412,897,486,088,965,040,694,665,972,628,674,388,916,869,013,628,538,
979,014,886,288,373,002,515,680,251,631,968,463,788,913,684,222,326,723,188,
201,475,610,296,580,353,466,666,962,078,020,961,057,677,556,924,931,724,585,
792,634,711,595,695,746,043,521,087,789,127,822,703,555,331,291,905,431,124,
135,476,246,324,442,827,576,535,111,102,398,658,834,598,650,064,172,014,956,
677,112,363,697,918,614,303,109,369,933,428,849,039,247,341,932,621,721,384,
464,279,426,175,779,838,943,154,890,674,926,455,769,330,144,820,290,999,895,
248,447,121,954,456,502,910,815,575,886,838,943,007,546,664,883,785,769,314,
614,729,594,277,301,016,321,530,483,672,246,592,722,186,479,931,861,886,647,
249,109,277,838,880,576,343,292,552,103,497,810,304,224,773,490,776,897,295,
025,556,299,307,119,131,681,059,535,045,463,233,267,346,453,905,777,049,864,
987,666,701,379,256,760,933,470,641,973,765,961,256,767,837,744,411,882,320,
649,604,715,816,084,911,006,484,799,397,439,351,557,750,491,360,861,618,155,
972,949,538,852,576,343,509,642,703,676,815,270,258,311,041,668,283,282,342,
033,991,748,061,795,584,085,863,408,250,348,081,617,169,914,022,267,081,497,
663,532,977,273,218,032,768,702,100,427,791,750,885,566,807,569,987,323,697,
486,713,083,619,335,324,409,026,831,383,879,586,257,235,408,497,910,711,295,
188,977,329,922,588,970,147,036,974,051,250,014,037,011,382,261,013,608,486,
854,874,350,929,717,967,848,687,961,790,405,236,828,247,929,757,817,797,596,
222,449,880,498,431,876,607,423,639,751,503,134,810,085,488,735,643,913,773,
711,517,577,838,056,787,438,709,968,261,099,949,967,834,793,792,613,270,307,
978,134,180,393,265,330,449,251,761,127,351,444,875,821,464,585,462,115,806,
092,213,390,095,870,280,102,443,409,181,815,828,250,155,471,620,081,014,684,
624,198,636,211,723,429,888,583,165,025,860,007,488,093,698,895,369,843,819,
678,946,249,897,019,651,680,748,291,123,815,856,929,250,005,649,975,008,757,
886,400,687,633,635,859,080,614,981,993,950,643,004,660,970,102,813,925,856,
770,520,411,726,075,395,243,174,986,630,150,962,447,859,730,097,710,872,904,
637,097,434,960,504,997,716,779,736,864,408,039,639,668,818,019,147,355,234,
046,873,187,219,312,617,854,742,411,357,039,788,326,901,834,744,122,467,267,
989,336,020,157,818,739,745,554,851,499,449,167,726,615,661,281,408,624,105,
524,102,048,601,891,663,657,243,487,149,849,701,794,500,761,676,276,238,601,
113,288,747,742,091,727,539,737,572,680,147,229,104,462,641,463,941,596,854,
963,325,986,673,775,724,293,893,145,560,172,888,124,542,141,411,154,538,430,
407,951,805,809,190,575,085,695,600,655,239,092,403,484,054,291,153,825,794,
683,694,976,536,246,958,123,285,480,076,921,159,758,019,808,852,161,178,109,
894,905,396,667,293,629,748,554,854,542,424,443,952,037,113,611,879,291,453,
752,451,551,610,432,092,724,843,923,248,463,575,379,597,045,723,530,929,003,
614,805,660,494,578,132,179,518,306,856,696,824,841,687,201,013,779,166,387,
861,541,332,880,387,276,664,553,429,770,490,425,939,944,910,139,633,546,279,
663,407,831,815,572,102,185,038,136,327,580,840,499,380,673,033,125,329,340,
333,491,078,461,543,769,443,680,727,315,892,793,701,113,770,938,275,072,642,
875,369,647,438,308,768,010,643,898,560,899,840,550,147,266,010,146,608,980,
064,210,348,498,229,802,485,612,120,404,969,696,910,276,696,580,643,349,839,
071,492,219,477,772,779,828,317,767,991,216,656,038,895,759,289,799,958,112,
354,527,002,749,106,119,626,558,793,277,299,957,776,854,937,107,179,979,522,
522,492,862,968,450,436,887,535,146,562,430,588,881,038,981,726,343,403,861,
932,784,213,044,019,925,810,130,863,784,282,518,726,648,758,632,399,752,676,
496,590,673,078,547,575,785,210,215,659,710,866,673,937,863,137,788,547,943,
515,525,858,840,556,689,245,973,122,366,234,526,094,413,320,651,397,516,411,
375,522,312,450,260,067,541,910,783,336,612,568,546,983,353,621,472,503,150,
826,459,531,685,701,883,410,255,343,745,485,444,833,089,725,967,383,631,997,
248,484,020,327,047,685,826,597,954,238,483,079,154,042,918,533,886,205,583,
752,865,690,046,527,686,358,349,520,138,948,025,069,131,085,712,122,369,098,
400,054,609,540,556,752,088,889,839,132,022,409,289,820,239,467,154,445,034,
640,881,818,862,473,093,002,701,645,711,921,618,149,584,499,153,884,290,080,
717,832,534,856,387,520,955,352,144,810,259,001,227,776,918,051,960,421,790,
780,603,382,092,449,269,586,799,560,279,969,689,469,417,943,813,837,168,011,
407,241,851,088,190,083,310,565,753,679,661,467,229,026,017,510,999,311,306,
385,930,397,074,297,506,624,401,884,567,872,598,092,113,277,021,084,681,578,
675,908,560,176,035,250,314,764,014,271,016,791,753,020,725,968,906,380,754,
312,449,701,263,908,455,912,985,897,881,692,810,954,860,066,757,102,507,903,
496,596,135,880,230,365,918,426,637,826,214,911,606,023,297,992,420,771,626,
990,607,876,976,659,751,116,279,676,957,558,039,454,236,436,738,350,695,249,
778,448,905,921,541,335,884,548,154,404,661,373,472,314,190,402,749,736,543,
620,585,905,083,099,241,824,826,625,095,183,579,099,822,422,138,182,983,690,
822,773,524,710,065,735,686,130,159,859,192,886,025,595,813,751,253,382,490,
520,465,899,308,001,347,032,614,821,209,261,256,520,208,050,390,931,013,073,
464,602,884,577,248,042,679,996,025,445,808,161,372,212,304,892,995,056,607,
811,420,910,124,986,867,794,843,096,761,601,382,230,541,829,417,484,640,173,
011,743,462,835,656,816,748,534,414,580,236,297,180,929,411,181,137,609,283,
825,720,440,747,671,448,658,704,338,445,746,393,400,064,803,535,789,280,618,
761,042,734,880,074,971,496,912,272,906,050,792,084,745,855,749,233,292,161,
561,969,537,393,575,092,402,356,879,246,873,609,876,934,198,535,961,584,391,
852,091,445,389,589,882,178,681,622,540,824,116,352,587,774,888,105,508,183,
285,424,190,429,046,259,957,068,589,597,983,044,123,043,330,822,970,004,994,
778,545,269,953,474,444,551,120,113,182,268,025,880,395,838,867,372,086,705,
054,715,628,535,399,935,495,109,003,090,961,200,972,030,429,631,735,442,584,
262,601,489,877,303,811,319,800,340,420,552,077,493,025,620,003,520,223,612,
410,531,477,097,353,939,247,915,897,979,194,257,079,584,046,679,234,641,075,
426,317,620,790,401,716,922,535,745,818,599,493,703,157,427,027,794,700,804,
926,722,845,277,509,124,241,617,254,964,357,044,221,751,269,957,880,200,627,
442,852,529,622,943,000,614,702,531,807,725,270,284,064,052,266,167,500,471,
415,367,985,094,939,379,190,145,002,723,496,299,669,940,430,580,188,634,092,
826,734,438,418,740,489,333,940,039,268,377,287,686,629,705,889,079,130,687,
279,917,572,421,453,744,231,075,103,881,357,999,340,248,326,498,777,094,201,
454,840,407,262,578,751,981,695,606,812,635,489,309,935,927,770,179,904,461,
287,898,751,450,912,809,165,886,815,995,997,818,847,921,066,626,996,406,379,
063,597,262,093,608,592,884,137,929,055,106,003,841,116,575,243,069,232,562,
694,032,637,333,544,697,048,233,230,773,827,092,166,279,962,021,797,053,197,
628,998,879,725,713,073,452,983,089,879,825,759,942,999,426,818,196,881,641,
291,026,359,768,719,828,510,113,247,368,579,029,840,963,167,766,895,362,488,
172,903,941,368,874,958,780,306,524,350,249,560,728,100,698,340,730,096,419,
558,638,230,028,899,880,510,420,854,025,910,435,884,820,275,581,737,668,181,
430,295,465,914,644,735,983,619,779,365,951,790,140,044,874,007,689,706,297,
694,389,942,218,026,572,240,064,126,192,291,039,982,481,588,481,735,143,302,
196,165,154,382,824,597,365,287,256,983,469,074,283,102,129,944,324,994,638,
771,275,176,710,426,895,746,097,498,858,938,007,494,079,017,338,541,902,991,
670,044,308,792,394,545,655,235,328,537,055,931,336,800,006,020,172,943,298,
351,015,462,817,639,553,419,411,380,958,882,656,420,752,334,300,785,676,548,
730,312,503,439,709,664,349,710,461,623,579,264,402,339,555,080,901,513,574,
654,308,243,089,583,170,071,067,955,488,017,639,550,131,719,215,541,062,188,
833,799,282,616,662,093,531,716,497,245,507,390,973,912,461,944,173,537,166,
773,766,610,632,129,309,637,877,224,398,573,045,435,252,913,822,505,432,376,
139,464,716,240,906,281,370,323,867,388,695,400,943,697,736,546,343,029,743,
837,052,001,825,265,560,301,743,503,682,463,802,083,285,255,899,020,568,812,
590,195,120,159,896,685,100,801,720,032,938,170,083,932,217,320,660,599,483,
287,053,624,380,253,171,425,750,846,842,467,586,148,356,886,410,207,324,406,
763,113,450,397,923,810,730,446,491,649,275,607,807,297,384,062,658,922,289,
875,633,119,059,118,241,967,669,595,416,054,452,069,802,237,983,200,777,098,
404,032,311,371,267,658,704,775,760,153,994,422,423,312,578,448,771,191,398,
032,125,228,679,425,964,763,792,619,873,058,734,268,208,125,057,687,190,548,
227,269,587,493,191,316,326,593,196,160,829,522,625,338,930,068,480,592,054,
094,357,808,730,639,005,048,767,907,100,418,121,651,787,663,969,225,068,051,
453,700,683,520,751,531,223,901,350,845,503,294,997,208,775,675,339,790,988,
243,014,321,925,347,525,278,992,459,662,463,576,975,571,551,649,963,260,975,
120,105,136,135,267,579,300,736,804,511,308,087,581,263,475,978,518,832,544,
923,418,793,934,658,750,649,863,924,193,039,226,365,203,507,032,269,728,103,
490,983,316,559,679,088,971,443,754,895,460,652,320,475,210,783,227,990,311,
369,178,977,106,906,876,620,841,619,166,040,936,892,808,064,242,497,629,037,
381,541,606,221,728,418,445,823,545,709,883,467,284,433,525,942,743,587,842,
578,296,551,369,450,823,477,002,263,377,510,966,656,190,542,687,692,799,624,
718,755,056,790,040,668,931,076,642,586,517,220,065,113,581,672,231,006,611,
709,946,184,398,265,750,769,059,848,659,578,793,895,166,150,502,294,026,599,
178,032,213,715,092,345,702,644,966,667,487,829,487,273,360,626,732,465,312,
385,397,063,497,260,190,194,968,827,993,719,702,606,778,112,146,378,154,474,
816,663,104,210,857,192,650,143,632,112,857,701,407,078,499,579,486,235,587,
453,992,540,556,770,835,177,200,073,362,988,732,185,479,241,143,588,387,210,
462,292,915,737,784,968,041,387,250,338,798,559,624,119,866,902,656,339,587,
530,295,964,030,673,885,933,050,682,772,237,593,505,629,470,523,749,921,880,
104,831,115,748,430,539,776,291,655,829,978,720,249,765,902,959,471,835,534,
397,172,633,794,416,570,458,004,512,825,721,846,545,735,702,979,480,369,716,
188,882,728,062,887,969,060,992,631,371,069,986,650,002,800,815,681,987,439,
170,419,636,187,405,909,046,001,791,580,654,947,725,588,353,375,820,633,860,
958,762,209,251,243,631,038,697,210,293,361,469,535,557,672,040,306,919,768,
082,043,760,034,439,071,022,388,399,798,457,107,447,976,794,567,980,737,231,
658,247,853,126,705,701,205,781,583,093,481,358,736,958,535,707,374,035,676,
271,378,024,559,178,698,878,871,017,983,156,252,995,615,704,552,383,442,206,
371,206,701,726,555,566,500,671,382,896,876,513,660,885,296,926,610,681,913,
486,096,480,129,885,530,662,313,732,971,112,583,542,821,100,080,114,773,185,
511,922,439,987,672,325,516,076,258,454,211,078,505,215,680,441,090,226,963,
760,205,238,336,881,039,747,664,351,057,588,967,742,013,773,097,762,699,598,
232,177,651,601,813,450,805,958,835,008,731,536,251,625,481,461,624,061,032,
745,173,121,177,320,389,966,400,718,865,033,656,196,474,061,910,244,760,559,
034,467,210,135,461,251,616,153,973,547,583,505,915,911,126,513,366,254,249,
690,384,478,661,016,401,787,451,983,061,581,903,648,989,911,460,481,089,650,
451,040,482,205,873,012,420,961,475,890,701,265,791,973,500,949,356,303,641,
921,182,281,899,057,652,595,283,619,906,823,022,435,407,803,429,675,015,328,
097,361,592,684,574,393,300,770,149,704,500,812,298,379,227,814,531,665,428,
376,766,511,548,112,859,114,133,474,236,091,893,319,721,765,733,543,127,194,
453,937,319,501,292,032,954,844,884,561,392,980,139,424,663,382,953,529,830,
200,699,636,772,398,857,965,780,681,899,262,020,487,684,787,659,130,244,138,
701,338,687,878,980,360,416,008,624,347,963,025,969,811,888,682,636,031,341,
445,683,820,550,519,121,647,848,027,290,289,947,955,781,273,522,881,380,992,
477,026,258,430,650,633,077,656,982,744,020,098,081,888,600,709,286,870,695,
047,316,310,517,778,354,510,632,061,905,794,444,442,393,659,513,109,493,082,
537,798,637,422,582,079,335,897,839,137,588,353,794,792,027,855,086,713,674,
686,839,436,168,986,463,436,461,983,375,635,934,308,947,872,093,705,684,441,
035,900,320,993,041,779,042,993,489,463,655,900,438,939,880,315,637,382,428,
958,424,707,198,212,140,330,233,782,137,912,288,651,924,718,594,724,229,538,
120,583,385,020,649,267,021,847,621,323,705,267,793,464,277,481,332,289,199,
866,017,507,114,741,593,172,424,827,530,325,297,997,973,010,485,487,330,197,
700,108,989,834,997,384,127,917,043,573,531,867,809,265,843,816,162,009,550,
194,226,797,358,379,115,443,837,510,059,750,799,867,356,472,614,873,382,028,
780,827,223,468,141,548,191,768,248,467,290,577,305,461,652,545,441,011,558,
524,685,590,907,431,861,098,882,745,504,002,298,981,237,080,960,985,451,503,
264,739,803,476,464,792,080,575,516,304,288,200,262,811,355,956,337,544,647,
888,145,166,319,999,134,274,621,469,713,534,459,538,646,000,477,116,922,974,
086,673,067,999,370,918,150,526,026,291,221,296,324,542,951,423,286,904,265,
294,228,935,512,462,355,886,588,517,209,198,161,610,012,682,114,777,294,612,
780,170,974,076,448,591,439,528,651,299,622,705,008,437,976,864,071,268,436,
073,830,010,497,603,492,710,745,543,875,051,724,297,152,852,415,284,444,791,
555,531,911,149,947,425,319,428,925,629,738,080,155,408,692,039,762,929,601,
212,897,604,510,551,648,979,422,367,810,647,225,350,754,233,449,495,619,487,
719,043,581,999,602,866,911,468,247,483,423,749,560,862,564,250,463,408,351,
908,519,986,965,425,186,582,508,380,691,553,433,404,950,406,551,069,887,415,
083,894,664,389,286,883,275,116,378,085,018,543,014,793,305,186,724,220,921,
507,705,834,667,183,797,850,417,924,353,984,213,006,423,910,086,944,562,607,
555,625,889,354,070,304,829,168,102,678,545,495,306,714,299,773,351,501,747,
579,819,574,073,991,087,870,440,857,256,660,572,403,341,728,485,499,873,957,
948,023,326,490,496,043,439,708,633,850,422,580,029,601,506,945,128,133,476,
299,779,772,113,306,248,216,978,374,367,423,851,268,621,604,297,593,184,486,
773,754,553,452,647,294,309,017,458,459,864,715,435,280,526,349,248,475,133,
979,108,894,286,197,109,050,150,242,898,263,153,362,336,366,408,534,303,818,
946,478,449,901,146,706,828,076,530,782,421,640,737,974,154,300,806,671,772,
046,620,994,857,972,624,118,960,147,456,364,683,099,800,836,276,453,385,063,
607,279,866,637,364,670,725,536,003,857,996,262,590,962,722,090,831,645,262,
009,033,576,243,072,445,959,915,813,497,993,534,984,342,277,173,444,567,474,
359,295,519,682,443,102,031,538,976,025,599,284,465,670,207,423,850,999,323,
928,900,170,710,153,995,870,533,707,945,980,671,128,869,180,655,637,663,735,
687,210,009,017,721,473,430,453,048,153,861,350,274,546,360,930,041,131,928,
924,408,538,937,316,784,398,013,111,458,082,982,922,290,231,422,991,485,238,
450,925,284,159,853,463,677,093,808,350,844,286,769,755,883,678,518,240,620,
568,072,742,892,766,341,635,202,266,489,911,114,785,356,768,361,282,601,880,
132,714,154,712,938,267,073,387,308,255,021,677,622,072,781,807,781,564,781,
972,151,954,358,125,725,163,377,251,432,409,295,308,600,128,925,338,338,755,
965,702,739,483,915,197,201,309,047,440,322,747,699,817,822,878,834,402,511,
359,007,111,963,989,071,986,243,520,441,095,154,407,131,846,918,269,273,116,
060,619,342,972,804,142,883,062,361,800,348,885,797,987,299,798,161,495,239,
951,990,859,274,522,840,505,506,553,362,625,859,544,603,086,498,637,829,998,
978,988,924,146,344,866,769,428,091,487,050,436,964,030,957,905,281,228,972,
459,902,216,176,361,596,950,452,577,954,279,333,337,462,795,590,881,459,876,
674,228,274,141,190,988,716,951,376,420,554,229,875,668,772,823,144,889,258,
493,084,223,305,328,296,857,973,949,202,634,371,320,262,120,784,801,985,323,
973,511,788,348,784,767,620,104,061,997,807,475,870,952,928,617,609,529,234,
181,976,815,051,105,070,922,560,499,395,033,307,475,489,454,604,966,523,343,
201,416,669,000,804,416,651,599,639,299,996,089,238,396,691,592,706,631,929,
748,780,881,608,955,361,928,425,277,665,621,920,432,290,404,062,099,559,280,
498,447,473,404,218,862,471,292,236,091,298,539,100,997,951,148,866,184,196,
474,135,655,784,220,762,578,178,306,268,115,974,596,508,025,073,381,825,220,
776,300,597,641,984,450,545,285,559,436,420,181,336,484,063,271,219,114,665,
053,264,528,196,986,459,350,654,952,137,536,724,668,070,643,430,575,856,378,
858,714,225,449,106,821,431,312,157,958,808,420,833,538,845,283,706,626,448,
533,464,358,239,560,339,127,549,190,844,138,961,796,397,576,944,900,415,695,
590,999,163,573,997,473,727,689,230,933,269,766,056,154,609,910,725,174,442,
847,805,378,234,553,248,174,855,285,573,343,350,560,379,834,410,195,332,083,
833,442,945,126,823,696,077,369,060,542,818,679,962,123,078,401,030,895,934,
030,686,002,738,904,219,914,826,778,767,396,283,463,214,756,528,153,462,561,
562,376,110,357,431,045,003,080,176,013,309,121,037,976,229,594,019,707,703,
621,611,523,520,085,856,595,623,504,483,457,723,821,979,671,949,500,404,804,
742,071,735,952,660,177,868,543,882,042,605,385,772,432,987,390,341,754,279,
633,312,143,525,781,620,517,001,072,512,364,870,809,455,742,538,344,760,840,
018,759,893,754,699,230,949,157,219,887,623,143,292,544,037,430,268,848,377,
149,518,917,334,366,526,916,812,831,957,287,252,017,166,059,675,129,339,591,
471,686,807,773,881,315,560,707,409,890,460,953,841,540,494,305,419,985,116,
575,049,254,897,660,987,651,716,036,512,011,016,826,658,657,172,640,193,769,
596,465,932,130,727,273,891,676,947,761,105,131,986,020,863,575,571,105,661,
055,515,864,006,579,946,336,739,148,981,871,557,909,370,181,138,819,147,719,
984,831,039,380,271,725,812,861,996,419,063,987,916,199,830,373,827,438,446,
548,917,428,268,016,372,506,965,041,086,508,046,037,357,896,137,937,023,084,
548,340,709,224,557,017,140,352,898,605,262,246,285,488,090,132,805,059,098,
563,661,813,281,289,218,458,205,470,973,453,433,972,253,048,256,092,529,438,
477,913,315,399,297,047,311,400,110,800,853,297,124,210,488,177,582,453,006,
525,916,126,165,558,109,604,820,252,699,080,218,835,220,565,669,574,962,891,
971,344,736,871,014,428,067,114,648,525,752,099,785,908,120,847,262,141,055,
309,407,621,615,021,631,363,613,093,796,581,578,228,900,219,356,569,564,849,
952,317,617,956,715,709,840,892,456,317,608,828,707,059,519,276,765,968,333,
223,367,718,447,744,849,638,475,351,720,956,846,841,103,165,924,104,216,598,
871,338,010,886,153,118,166,687,505,266,418,395,974,285,617,051,060,033,307,
257,994,454,931,064,057,218,969,499,113,216,445,548,382,991,318,703,934,491,
347,843,145,943,780,726,416,425,483,640,877,465,030,232,864,027,602,258,413,
709,231,239,539,370,791,025,486,191,260,581,320,550,166,482,413,365,770,936,
277,770,838,347,679,120,159,816,811,967,857,961,302,822,148,825,405,460,336,
574,383,287,462,444,460,511,967,272,608,249,749,539,764,822,797,178,070,149,
587,326,541,971,981,796,370,158,519,883,415,361,324,075,449,232,487,731,783,
058,735,435,505,312,749,187,785,379,206,757,790,548,865,727,473,521,860,701,
305,967,225,653,726,749,488,046,505,301,223,161,673,342,372,459,421,861,460,
030,103,416,348,815,831,341,069,531,294,796,114,193,817,263,500,168,158,931,
787,046,023,629,725,188,072,351,221,153,553,355,797,592,807,758,295,528,181,
190,919,469,214,226,799,698,154,362,312,711,017,620,942,704,976,034,313,366,
071,501,136,080,601,689,337,098,147,706,935,204,941,359,127,315,429,477,663,
262,909,972,668,852,095,128,973,511,511,961,370,352,559,255,226,938,490,351,
317,693,703,882,414,008,521,448,397,492,569,944,681,310,105,251,824,890,375,
922,984,135,897,131,691,054,806,342,703,258,675,081,672,069,565,240,809,355,
530,194,434,393,538,685,857,639,755,968,812,641,878,400,284,923,928,573,681,
728,123,818,702,592,493,820,065,871,525,479,016,061,330,549,664,602,529,951,
532,784,995,489,834,901,295,623,181,233,884,896,814,738,405,308,101,922,528,
466,334,348,653,044,152,715,229,264,464,766,724,426,134,505,886,658,548,271,
838,796,078,169,733,831,490,026,339,534,263,891,860,570,016,917,722,755,822,
984,173,860,002,703,423,445,382,119,765,630,008,934,801,558,639,045,629,510,
424,171,301,580,612,771,861,388,109,263,595,189,361,096,487,712,960,346,059,
995,386,145,532,081,267,782,974,254,053,439,644,747,928,333,202,446,561,136,
669,061,778,933,878,154,128,653,952,796,295,687,806,477,757,531,255,623,381,
365,338,702,641,209,492,481,973,874,111,580,127,073,689,354,605,310,056,017,
749,526,300,321,637,115,956,368,323,431,860,598,958,000,761,006,663,761,670,
556,119,958,207,035,036,684,630,353,572,128,909,281,555,917,887,525,007,153,
859,548,826,998,409,084,567,971,729,230,643,456,415,105,183,981,963,578,821,
552,917,145,855,367,782,255,806,959,595,384,889,998,430,256,710,306,179,739,
040,988,292,513,196,911,252,165,261,383,270,652,174,630,177,151,593,370,320,
276,527,285,449,885,522,459,167,657,671,933,501,540,419,259,403,300,126,645,
403,392,165,258,931,299,823,189,234,644,137,707,725,273,470,201,942,912,394,
319,839,514,519,079,185,186,405,640,795,840,465,148,664,369,577,073,998,741,
988,502,452,967,553,976,492,018,046,428,466,554,499,864,598,217,636,718,653,
833,908,173,346,263,919,611,104,767,878,653,426,572,140,860,918,138,135,642,
988,075,396,629,916,483,036,633,556,330,649,425,527,002,152,946,341,815,962,
172,342,948,143,853,207,582,373,736,946,170,830,155,187,602,567,055,191,094,
521,296,971,257,774,746,385,176,319,063,908,935,605,989,208,878,244,738,808,
392,062,169,090,715,751,258,345,125,008,450,375,696,856,659,902,537,983,585,
934,009,638,443,559,371,978,472,610,167,647,737,730,249,135,643,680,132,819,
087,119,973,554,647,049,502,749,628,356,118,374,953,825,428,314,827,919,024,
832,663,115,232,361,061,309,574,180,113,575,180,916,057,395,671,255,990,621,
316,142,682,260,370,292,943,708,431,339,912,717,761,215,449,713,878,318,640,
924,672,990,374,988,460,112,557,051,660,362,356,497,156,703,190,488,915,570,
974,134,471,618,407,568,712,407,293,226,988,853,967,574,904,878,388,334,804,
956,137,761,407,590,219,360,841,911,896,959,644,783,977,758,888,142,858,184,
531,763,748,382,199,694,250,845,094,350,093,726,072,886,490,835,693,783,740,
507,719,860,651,157,765,176,443,235,426,502,810,166,444,958,636,017,818,755,
015,497,491,104,069,555,964,656,656,351,093,437,048,947,387,827,430,173,425,
933,024,803,315,426,361,329,019,594,188,279,189,934,062,565,834,225,171,153,
879,748,101,568,562,670,807,115,594,039,243,768,565,496,239,434,342,867,277,
428,953,040,770,133,176,514,327,818,646,674,022,862,465,527,331,032,032,212,
747,442,301,569,100,726,965,517,430,703,038,671,523,044,743,401,801,172,721,
637,827,010,006,062,272,152,611,367,785,168,858,983,650,052,961,041,249,357,
317,039,327,787,967,952,941,245,262,045,935,438,929,655,955,747,703,436,401,
842,199,388,922,402,524,998,395,889,249,647,252,506,172,884,251,129,415,533,
102,124,290,182,096,241,398,109,207,392,621,514,572,427,179,624,075,661,046,
073,327,356,517,990,619,599,995,543,077,887,826,443,152,394,246,412,759,155,
425,791,986,034,900,255,785,642,273,104,055,371,253,588,043,992,095,884,226,
225,786,740,458,039,923,607,474,959,966,051,455,907,539,468,570,500,105,642,
707,341,409,943,496,909,968,248,723,642,939,497,930,419,409,286,111,097,956,
534,496,532,899,502,593,672,033,784,461,386,850,117,505,966,769,332,240,771,
652,976,062,282,460,626,291,742,601,980,499,604,203,447,573,162,417,879,605,
700,610,069,654,381,226,025,286,057,051,325,763,165,618,608,175,717,053,782,
362,201,978,880,133,832,032,763,785,821,983,278,137,616,848,332,440,706,473,
405,297,853,362,798,470,091,434,315,466,924,021,387,450,458,865,843,814,332,
526,336,040,836,281,014,929,430,421,001,853,737,370,370,452,552,131,417,004,
409,039,660,505,354,749,420,418,617,110,038,261,709,707,121,435,325,938,013,
004,553,611,884,455,312,850,258,336,325,787,736,497,828,102,399,751,127,320,
378,270,252,711,076,148,064,328,649,343,229,349,893,869,257,061,947,037,935,
492,089,110,296,585,654,617,766,425,127,938,095,879,177,261,673,709,483,582,
733,646,845,246,517,007,862,922,941,024,766,448,637,622,748,741,346,947,743,
520,932,424,923,323,738,685,474,221,100,185,128,060,862,654,132,917,160,654,
833,557,947,027,363,740,081,010,848,951,856,141,989,590,710,709,237,333,442,
738,520,934,762,077,716,664,018,462,081,028,197,613,720,783,540,126,690,575,
755,175,268,866,215,521,618,152,036,384,099,172,305,268,780,894,765,607,279,
314,215,769,264,357,462,225,003,023,141,514,602,115,151,397,749,480,634,740,
335,551,881,823,787,268,762,698,486,955,813,024,536,907,438,146,918,433,066,
881,848,633,179,891,925,711,628,319,377,322,423,357,748,823,829,774,344,577,
358,380,037,774,693,972,620,684,957,443,087,506,387,554,723,781,826,358,911,
232,920,632,325,205,715,178,904,533,510,903,103,826,462,618,111,631,284,250,
478,119,542,474,070,576,691,786,962,404,099,667,554,909,176,947,152,625,286,
723,173,414,127,991,139,995,762,692,794,108,464,319,498,815,067,520,902,745,
047,692,182,037,980,619,153,126,993,911,883,059,735,772,051,815,559,566,969,
325,533,658,632,371,482,406,408,338,455,198,419,330,064,680,553,282,981,110,
796,660,030,207,839,765,258,113,243,169,294,473,274,560,729,818,526,610,751,
951,928,982,407,186,095,422,751,891,642,623,574,059,842,774,738,332,761,966,
511,681,930,287,337,646,980,494,645,885,204,441,182,078,860,371,822,064,110,
928,072,578,712,462,214,985,290,303,429,463,103,587,900,797,834,140,531,389,
856,974,888,912,239,803,051,365,922,482,108,973,359,648,039,862,110,583,638,
508,838,691,219,454,447,129,346,066,593,861,929,498,972,716,543,390,987,029,
820,797,370,641,218,811,471,447,506,235,414,222,675,175,335,011,569,703,197,
862,432,269,819,031,646,526,726,654,817,043,290,725,972,776,382,867,172,466,
767,047,811,485,993,655,175,233,799,614,676,074,528,185,544,250,217,086,880,
151,502,564,259,865,469,577,731,412,464,436,322,912,571,404,065,429,719,750,
263,130,778,249,967,554,873,632,344,357,023,776,378,688,741,333,456,370,641,
361,929,811,078,451,171,939,406,930,007,966,952,839,752,159,271,772,406,749,
066,063,122,771,632,242,186,641,373,488,191,004,686,742,664,953,027,882,940,
279,096,148,150,488,420,680,964,890,674,058,329,285,656,362,033,963,310,781,
352,443,592,371,526,821,929,492,548,309,892,883,308,417,250,078,000,261,159,
713,420,727,495,909,258,776,940,551,107,346,205,382,449,625,828,540,603,139,
200,953,294,951,025,670,914,549,634,737,021,125,625,807,392,744,297,748,161,
979,672,524,807,471,498,212,107,020,796,228,313,902,871,304,723,230,267,285,
877,141,326,044,556,246,616,005,526,213,536,749,211,101,867,528,500,359,346,
918,383,772,415,951,862,548,318,646,411,137,330,894,103,550,104,333,105,373,
558,396,420,084,715,602,125,522,137,903,617,886,523,824,253,663,752,329,798,
585,917,520,303,544,979,770,433,612,579,312,911,237,066,938,962,296,130,798,
599,590,505,267,370,475,396,818,545,518,954,814,768,435,276,176,489,668,470,
468,538,620,742,825,384,551,704,104,388,427,833,420,186,937,464,872,998,884,
481,266,100,495,642,892,521,973,978,180,290,804,453,322,110,002,695,190,758,
287,740,713,232,908,667,905,442,206,025,882,538,148,006,630,239,480,991,230,
299,101,837,658,369,254,018,667,077,952,047,505,229,635,521,311,315,044,534,
585,141,708,233,373,057,087,020,029,784,159,115,055,484,995,368,219,609,181,
609,675,752,104,860,214,999,970,090,250,568,004,681,011,525,433,303,976,855,
128,302,728,001,755,195,219,508,527,631,094,537,895,051,270,944,290,540,381,
146,362,662,644,289,743,225,602,246,631,973,218,301,892,650,373,385,147,577,
078,096,509,699,832,075,015,152,661,476,931,446,293,640,021,035,624,026,043,
271,850,811,828,583,403,067,517,393,736,824,459,972,263,078,019,508,903,571,
554,163,619,909,732,000,248,157,014,614,036,995,470,101,609,651,880,659,124,
697,867,533,240,873,355,773,112,036,433,321,575,883,700,568,191,975,816,665,
605,038,636,168,492,200,392,791,991,230,210,849,074,403,616,592,163,006,910,
669,146,520,418,529,370,238,372,366,666,302,356,450,543,208,225,903,241,409,
242,588,905,349,583,252,570,833,307,183,665,585,945,210,098,030,204,505,968,
663,437,779,833,518,932,200,911,757,347,587,762,612,769,548,054,710,860,831,
357,297,632,504,906,312,246,294,259,113,175,822,817,107,603,518,439,627,459,
521,196,535,445,314,102,991,835,289,920,128,704,422,678,304,773,836,408,674,
811,136,831,476,492,991,407,644,032,931,904,383,625,387,780,911,444,464,493,
953,107,497,182,647,510,434,779,991,841,645,059,587,904,886,163,302,951,208,
549,450,023,357,204,348,452,612,583,017,156,221,905,514,659,911,263,586,683,
135,572,063,309,072,057,309,121,016,536,071,192,504,470,354,280,875,783,328,
160,219,128,610,327,631,210,669,819,352,087,300,042,667,563,323,374,046,256,
437,946,868,252,346,318,998,962,438,425,563,250,694,866,035,922,435,470,354,
659,672,973,979,356,872,772,365,298,288,696,767,025,710,903,131,013,892,361,
671,195,898,839,560,670,376,332,486,816,336,966,939,026,696,455,451,843,039,
983,088,444,160,308,264,835,153,626,435,841,317,212,990,035,210,822,091,946,
425,040,628,401,003,434,396,404,566,933,911,111,760,687,975,134,784,224,019,
955,260,890,202,479,930,115,115,178,167,196,077,737,053,354,288,895,606,634,
868,607,540,173,643,234,314,511,516,272,911,171,910,770,948,589,038,206,757,
301,939,202,567,824,509,397,954,979,165,258,178,549,379,988,564,210,753,433,
659,833,298,747,786,322,476,230,798,222,617,984,618,247,399,449,973,827,344,
607,250,319,696,987,721,076,177,001,538,942,166,924,674,674,284,783,384,834,
344,289,851,824,386,011,849,030,261,416,087,600,792,509,799,899,636,755,088,
388,006,185,584,615,969,600,501,780,922,339,056,487,521,169,935,970,939,160,
353,405,674,798,486,603,206,193,923,434,583,487,367,829,077,198,806,040,709,
634,456,847,953,778,687,830,937,026,219,292,889,831,511,373,698,972,052,820,
730,328,766,522,567,168,898,170,371,328,445,240,358,684,699,329,734,565,586,
673,855,272,929,924,799,126,712,816,425,294,680,354,623,505,114,822,107,814,
749,907,163,507,390,155,112,095,734,271,095,044,004,833,279,767,023,477,170,
622,686,395,674,807,055,444,529,984,020,640,910,584,779,953,335,468,753,369,
903,068,967,877,371,244,099,205,439,049,553,031,336,170,021,386,739,570,674,
211,506,990,694,195,390,422,043,531,793,632,478,006,511,228,173,098,145,435,
950,892,662,674,066,047,286,086,621,332,187,342,186,835,510,196,050,721,333,
535,557,706,780,232,452,901,843,962,339,076,103,216,188,071,306,886,468,146,
877,771,339,527,765,198,274,181,578,770,913,934,997,158,344,516,301,317,231,
380,807,117,923,095,232,015,207,986,627,466,226,589,384,743,126,962,014,470,
598,976,138,787,193,759,141,736,880,554,710,392,467,695,554,988,816,123,349,
415,005,475,829,058,968,589,592,762,864,642,476,552,708,991,292,102,283,298,
776,068,107,856,894,419,634,164,444,427,436,134,675,890,862,801,935,361,221,
716,010,904,444,137,956,514,870,604,501,173,132,572,103,619,403,563,850,360,
722,230,965,480,981,526,464,960,856,574,773,816,035,127,446,273,379,478,688,
980,054,296,518,666,404,513,163,919,768,457,979,593,313,102,077,714,185,384,
237,906,039,674,220,517,218,362,090,403,546,334,813,288,387,031,026,574,180,
831,506,347,413,142,461,752,843,747,456,726,062,946,987,247,434,485,748,080,
510,598,370,984,598,037,148,517,168,835,161,030,970,795,492,639,787,797,200,
231,662,690,281,525,225,785,484,371,084,463,837,123,201,067,450,794,674,312,
793,244,550,701,683,414,875,049,517,328,128,760,814,777,943,422,960,723,498,
809,160,561,697,805,593,226,327,666,788,542,133,395,698,735,475,428,509,597,
517,752,493,322,794,750,416,847,791,311,769,069,891,850,052,475,091,302,839,
410,841,177,155,661,288,169,088,208,294,091,912,633,147,504,546,957,646,066,
877,373,614,817,724,812,637,184,546,180,162,526,940,270,847,811,068,168,673,
656,561,389,263,403,873,011,635,299,150,453,885,319,738,952,714,773,888,900,
300,158,803,006,213,478,202,816,987,252,477,727,480,642,959,595,753,663,396,
050,995,511,348,684,617,894,951,495,734,986,543,311,596,966,708,968,175,129,
679,305,650,379,288,019,052,349,861,508,124,082,084,948,280,752,297,071,317,
252,950,222,051,055,762,021,825,891,157,560,806,474,694,572,821,133,004,309,
974,954,778,453,105,559,375,060,951,918,540,222,777,953,377,521,251,265,992,
500,825,206,006,997,107,819,733,891,946,712,003,629,621,622,133,956,379,065,
262,512,605,616,479,071,523,638,599,628,942,131,562,417,377,252,672,022,514,
683,920,875,270,372,721,390,887,799,036,513,767,704,939,108,476,539,550,388,
481,441,877,342,169,993,752,930,518,067,866,152,988,334,024,934,479,490,884,
506,529,940,272,447,703,591,449,641,169,328,829,767,633,456,912,506,264,470,
141,537,585,885,454,827,840,490,129,246,128,086,945,458,877,117,124,147,377,
097,288,371,155,931,684,851,897,972,344,593,145,482,873,680,940,237,325,586,
820,676,453,114,668,507,699,701,187,419,102,562,466,075,406,777,541,228,375,
364,887,050,179,287,828,777,340,720,262,704,055,790,856,722,444,984,735,930,
407,242,325,441,455,025,346,296,187,771,822,575,785,510,878,696,536,044,318,
344,380,127,909,219,020,509,536,223,631,033,833,327,498,118,759,615,910,581,
063,969,458,810,386,383,461,406,801,177,598,597,918,922,002,638,975,391,911,
602,482,591,407,855,350,924,816,302,474,716,027,427,032,243,116,470,527,028,
772,122,621,514,567,814,473,936,833,952,320,008,242,397,253,477,027,988,441,
947,708,816,713,531,255,234,495,488,057,742,734,661,676,446,234,789,729,488,
275,143,746,693,270,186,635,027,303,357,033,352,215,289,478,119,400,351,146,
550,634,145,401,994,603,439,241,524,379,131,530,155,346,368,162,146,346,814,
943,187,595,657,438,657,578,724,249,087,142,347,464,254,094,494,225,839,724,
336,261,968,935,427,656,310,144,139,373,851,219,313,154,855,734,890,711,700,
956,663,683,355,875,921,628,579,701,410,878,411,353,985,166,194,928,069,212,
677,936,437,538,104,128,729,159,790,392,145,452,117,366,743,300,957,408,776,
941,409,914,247,669,524,767,065,057,854,934,344,022,401,273,042,076,027,646,
229,736,830,646,062,465,038,633,239,815,347,758,461,339,952,450,996,374,941,
951,459,117,329,982,052,053,094,786,309,200,961,688,625,346,262,931,256,706,
879,864,634,303,652,773,138,384,081,897,471,104,178,945,884,308,180,699,689,
718,080,582,139,843,112,810,204,264,674,299,911,698,462,966,126,349,052,463,
708,210,297,633,169,334,337,754,299,444,014,348,350,197,897,548,822,984,242,
108,836,314,087,453,583,953,702,540,822,596,985,302,601,601,141,845,165,287,
616,545,020,155,305,646,946,112,819,688,159,374,164,062,404,245,608,099,485,
668,707,490,094,425,850,047,540,164,663,868,762,970,222,716,386,891,642,359,
729,752,162,375,793,502,408,719,013,737,461,603,786,359,652,653,283,500,405,
949,471,902,758,326,355,369,125,175,901,244,660,005,551,775,875,494,521,558,
602,363,608,200,568,479,819,063,093,181,841,090,397,153,500,643,860,490,902,
278,649,753,984,926,574,071,215,338,963,882,624,171,908,962,358,226,271,061,
399,576,233,852,282,932,257,734,825,698,887,997,915,235,823,140,577,028,046,
077,924,779,298,158,864,495,453,802,298,552,207,610,472,993,952,426,119,986,
487,986,277,454,714,267,645,919,937,137,493,115,809,157,243,303,743,711,587,
099,969,502,250,512,388,355,762,000,428,094,982,179,965,821,342,511,968,442,
942,718,686,852,490,772,485,879,337,112,218,127,250,205,161,488,807,858,534,
395,871,883,226,939,048,035,970,522,333,856,582,830,098,187,188,347,669,493,
272,556,331,111,690,457,200,257,431,034,493,888,335,932,050,154,096,581,892,
371,945,718,948,384,834,695,434,864,046,734,677,824,197,294,806,477,450,255,
660,038,277,037,613,823,865,199,596,032,150,787,252,047,969,626,167,599,253,
392,844,359,026,509,776,547,301,303,421,044,773,566,485,726,403,053,756,304,
599,126,791,750,199,846,503,770,013,721,920,165,869,163,876,780,689,527,985,
432,101,221,146,686,324,607,562,694,709,948,879,773,225,506,228,151,719,126,
670,692,701,517,040,166,614,059,625,806,401,482,334,204,309,114,268,439,539,
123,593,101,482,829,962,961,066,715,849,625,656,184,724,706,580,295,818,579,
675,442,837,906,858,792,514,414,917,573,130,435,885,602,954,432,371,856,235,
123,554,095,107,823,246,123,121,618,807,545,910,545,620,487,170,859,716,347,
914,996,467,773,231,661,328,168,712,217,271,669,282,675,430,357,085,904,534,
988,603,872,720,543,891,113,866,946,674,656,572,734,089,366,726,668,127,276,
069,627,787,798,233,875,666,199,375,353,979,815,151,799,632,489,739,023,679,
333,640,181,496,365,145,625,903,626,202,663,024,064,683,771,656,225,492,298,
899,303,890,064,881,479,137,606,628,674,696,808,806,644,512,194,445,481,148,
542,796,957,608,753,551,031,514,898,041,830,538,776,716,137,992,579,694,922,
922,796,191,566,447,225,994,276,712,687,896,449,627,173,824,906,088,444,567,
241,182,635,947,510,040,376,329,354,048,456,782,844,322,471,303,525,774,705,
956,495,489,221,035,823,911,244,170,227,079,296,673,619,951,357,496,212,944,
688,475,950,946,959,965,409,029,127,163,705,700,161,944,989,911,618,620,982,
582,781,309,614,323,658,263,124,585,915,857,432,680,183,097,014,329,780,265,
481,408,252,865,947,989,242,074,075,959,011,496,537,073,062,877,628,943,614,
110,733,478,287,896,715,488,789,547,282,087,844,639,506,033,103,014,281,178,
972,644,611,113,266,219,965,113,034,110,828,617,726,021,859,731,481,768,200,
931,402,993,692,892,272,233,722,996,800,953,799,830,841,240,355,875,392,718,
989,932,006,400,120,296,846,046,126,921,006,725,753,363,924,244,356,685,852,
946,615,823,675,047,183,740,299,320,174,825,046,466,851,483,705,267,605,566,
633,672,622,387,929,102,134,034,333,786,027,827,281,158,177,523,454,548,087,
775,203,647,348,269,391,038,085,558,327,543,517,476,283,531,099,474,842,452,
271,475,335,444,042,411,614,179,008,730,604,834,280,103,832,515,826,497,492,
156,718,193,014,269,348,415,884,820,348,306,471,135,208,470,563,017,358,837,
290,003,957,316,182,761,723,302,291,769,362,802,582,068,213,866,440,330,199,
919,502,950,969,414,292,508,572,307,026,393,327,018,864,389,384,149,739,752,
508,339,110,112,769,978,160,581,828,541,679,159,215,156,243,801,451,705,620,
008,718,251,173,175,947,915,473,596,401,133,885,965,342,746,495,498,063,331,
740,856,005,035,336,932,455,205,799,087,642,771,192,779,672,729,758,957,270,
430,290,128,780,342,049,281,159,279,627,397,748,427,457,591,385,762,194,509,
132,872,436,795,970,808,584,457,620,773,139,780,588,200,006,584,758,280,216,
406,936,463,916,394,984,534,772,970,623,671,370,135,041,080,793,498,888,582,
568,354,012,465,157,644,404,838,816,235,979,867,192,373,574,456,298,829,695,
413,517,366,990,725,037,831,393,865,244,848,647,246,503,589,778,310,924,155,
150,283,565,778,275,380,870,361,624,516,668,300,287,476,171,602,782,269,599,
715,346,278,019,824,561,302,457,797,895,272,771,211,352,137,800,016,256,170,
840,427,786,239,398,239,594,916,244,299,345,159,967,521,814,627,613,105,582,
834,992,146,557,505,228,775,415,199,891,189,886,129,094,734,413,472,083,099,
231,286,238,411,289,645,461,136,635,000,648,626,371,182,876,336,909,124,328,
663,876,565,941,722,691,599,870,276,331,210,463,788,401,472,723,689,449,754,
434,187,545,635,145,037,071,457,975,550,646,395,095,138,155,895,312,320,717,
307,201,293,086,338,608,992,316,511,518,562,743,774,172,830,984,576,334,636,
257,712,832,477,529,828,328,119,062,373,182,665,707,405,830,036,763,583,946,
870,861,790,598,106,255,264,354,218,188,444,543,879,049,602,463,231,106,555,
500,331,921,007,315,145,367,285,564,543,093,524,893,524,250,077,514,603,640,
954,856,961,868,478,675,680,354,391,438,253,174,397,348,366,984,611,951,340,
677,932,238,754,684,621,743,552,758,613,940,275,336,680,497,913,498,456,232,
562,918,938,287,833,037,274,381,397,249,556,849,872,101,281,152,570,484,023,
050,763,209,611,666,588,408,233,631,587,297,124,019,097,632,369,782,293,247,
011,182,537,217,672,180,292,372,350,359,762,481,219,738,601,839,612,059,917,
580,157,732,750,345,936,883,317,075,012,436,257,619,526,347,857,686,591,742,
743,465,064,773,226,649,554,894,061,846,438,544,871,525,670,986,178,514,502,
753,360,396,984,906,113,516,329,939,773,979,962,811,637,552,776,627,278,486,
433,925,748,369,846,216,997,705,742,097,590,918,297,286,913,453,125,207,402,
756,277,999,127,480,591,740,711,903,564,310,055,438,716,422,973,689,701,693,
904,023,123,905,731,011,407,970,386,824,288,992,621,816,109,716,252,464,747,
080,632,406,222,593,982,912,238,352,993,586,203,962,062,973,634,063,144,408,
255,725,247,558,427,025,442,048,156,036,269,583,285,060,939,652,176,526,769,
048,088,681,017,810,254,482,288,176,646,809,025,980,781,758,886,103,910,846,
285,826,243,570,017,117,595,372,889,683,692,613,316,558,728,124,625,049,359,
091,564,508,169,058,234,902,529,238,504,098,713,902,183,151,638,075,011,965,
104,203,042,759,160,194,535,875,213,909,586,192,237,485,033,553,073,188,349,
888,897,907,612,234,784,703,616,150,496,840,901,718,620,065,333,276,994,744,
466,266,639,972,715,196,867,876,999,709,488,761,505,096,725,803,762,197,845,
194,758,999,279,998,987,919,590,727,908,962,789,572,075,462,096,759,118,094,
914,093,398,606,537,398,470,203,844,680,076,629,363,170,135,205,626,909,446,
042,812,233,414,068,623,384,620,334,748,758,624,293,157,879,673,298,167,519,
313,126,419,246,031,563,690,249,203,140,263,128,049,864,020,026,629,323,919,
154,348,681,986,359,362,261,533,343,000,517,574,331,991,500,184,212,625,035,
505,137,059,571,391,113,572,694,846,302,295,705,991,051,570,676,484,158,170,
876,270,262,943,082,118,477,511,367,346,881,963,838,476,651,588,771,987,532,
172,842,479,627,006,707,077,440,923,130,758,976,147,947,337,059,667,119,672,
271,883,700,517,379,765,506,389,566,785,118,461,239,321,432,295,506,399,928,
626,093,268,024,360,636,633,177,221,712,902,597,578,246,820,724,851,212,278,
690,888,247,379,884,836,460,420,391,155,988,854,323,974,831,087,930,483,829,
835,549,141,053,757,806,779,529,856,879,170,031,554,278,841,567,494,227,953,
593,430,546,322,091,383,840,033,110,790,137,408,713,323,848,726,940,217,667,
682,462,833,008,418,144,378,789,171,286,105,080,427,753,320,551,359,111,057,
192,227,172,116,122,272,221,265,185,073,694,932,311,240,556,340,373,802,692,
991,653,264,388,693,374,857,430,517,742,761,188,182,257,019,357,927,806,116,
790,081,074,364,310,074,275,598,742,111,708,638,010,569,355,746,096,528,287,
028,910,922,830,380,560,832,740,828,551,403,017,603,498,044,745,809,105,987,
538,976,537,750,466,571,047,269,954,004,762,013,929,333,592,152,214,146,952,
651,910,338,786,196,107,898,762,301,559,188,867,547,200,010,976,661,204,640,
890,713,009,447,519,673,563,380,676,075,660,372,948,876,468,685,178,885,019,
143,182,886,011,687,085,397,899,531,854,596,536,133,987,595,884,206,288,768,
313,713,102,893,575,962,075,476,045,915,948,231,940,729,454,601,126,105,916,
921,942,475,844,318,278,678,549,645,118,724,919,481,625,814,779,643,357,148,
915,635,130,332,603,811,851,853,696,322,487,257,848,312,789,959,352,581,787,
186,717,800,437,678,286,487,044,964,527,009,555,949,382,720,193,515,955,185,
888,609,917,710,081,327,166,475,863,702,251,927,617,421,979,977,383,187,395,
569,633,407,031,038,726,743,347,004,285,208,772,383,316,182,279,855,653,322,
706,187,574,294,251,179,892,447,323,050,568,249,411,946,579,807,885,287,028,
534,555,003,588,893,492,617,475,460,034,392,736,196,977,014,019,597,762,405,
491,828,020,665,350,981,468,334,365,653,879,618,050,108,450,840,533,488,916,
585,449,248,329,794,292,855,894,305,662,144,590,619,268,097,312,690,151,691,
962,392,416,069,846,827,552,793,532,022,487,686,020,815,083,576,864,303,472,
484,792,436,939,048,916,414,602,896,857,402,224,634,705,047,232,339,238,807,
508,464,213,428,810,204,581,774,604,049,194,924,130,790,435,942,245,751,245,
502,760,990,554,665,767,444,357,087,657,191,210,170,970,427,740,663,170,025,
470,550,748,314,203,102,777,474,353,020,732,783,785,794,212,021,870,989,367,
571,924,022,946,287,068,659,450,922,660,750,382,987,958,772,126,096,404,663,
987,722,663,865,097,857,170,086,171,696,432,837,468,361,444,913,485,993,087,
189,573,365,642,791,427,812,793,590,427,661,328,554,931,990,131,851,127,209,
996,290,932,866,550,696,700,725,273,222,843,282,211,273,287,138,269,225,231,
936,656,705,447,703,425,877,071,507,744,411,664,591,986,992,488,150,319,805,
636,819,210,948,054,874,655,680,457,096,174,359,700,836,355,168,124,254,878,
913,480,844,739,410,672,675,775,645,453,120,847,247,011,655,153,374,078,701,
240,676,313,191,066,164,191,233,812,594,731,847,714,520,284,018,514,294,245,
018,424,150,785,088,682,573,015,760,326,069,343,689,842,361,769,135,576,707,
181,863,388,021,188,696,650,609,229,020,293,999,806,465,391,948,158,630,963,
233,999,512,549,733,475,809,437,355,284,125,583,384,562,159,915,486,106,548,
159,812,304,601,397,177,427,130,463,837,548,139,962,158,504,736,347,139,846,
260,833,461,809,218,086,635,308,963,868,483,786,952,207,023,200,598,239,802,
985,250,826,846,838,418,299,918,925,375,082,650,161,095,071,749,832,306,286,
197,160,787,898,559,835,554,644,634,666,795,004,588,781,015,208,686,376,148,
135,143,638,046,643,215,932,286,462,884,336,133,840,539,828,980,714,645,087,
005,135,290,863,934,740,096,105,292,293,410,521,755,052,472,814,957,629,742,
665,643,575,611,508,141,493,046,018,405,082,393,235,891,857,065,499,422,870,
710,969,634,514,167,817,728,486,355,206,579,984,818,036,117,950,834,044,545,
511,789,672,607,237,795,947,563,058,356,831,691,536,523,666,487,577,598,149,
306,323,702,522,324,323,123,863,380,417,002,563,479,697,377,627,480,169,683,
140,399,112,509,069,051,020,849,700,308,320,401,400,528,210,684,702,053,160,
469,645,730,982,322,757,805,853,833,126,648,624,040,573,552,842,411,114,286,
517,582,769,885,257,951,380,296,239,909,860,774,528,238,190,890,300,780,709,
802,716,752,019,108,320,238,857,223,101,620,749,888,132,145,832,143,650,928,
024,291,776,850,562,639,761,379,452,807,920,533,522,205,799,866,443,772,135,
526,265,885,456,573,352,604,156,214,361,739,068,295,156,360,245,998,947,241,
036,954,057,408,414,317,975,253,610,225,437,973,442,073,576,617,610,820,361,
364,739,551,902,587,543,874,963,952,403,029,261,732,944,623,802,607,022,959,
095,352,438,147,702,283,621,388,550,153,321,213,136,066,716,903,498,690,086,
203,072,504,324,811,365,785,019,355,790,906,161,846,958,994,547,323,628,281,
813,159,612,191,729,365,201,443,015,317,631,263,793,813,395,763,540,227,602,
248,280,631,871,784,171,534,843,272,609,368,992,457,296,543,171,118,531,027,
530,718,896,890,379,831,999,795,265,621,607,920,340,103,241,391,646,156,021,
046,471,907,496,968,412,987,614,894,972,906,172,245,501,800,963,715,574,295,
877,848,877,180,697,825,160,581,569,816,528,464,855,821,246,899,198,663,643,
040,765,596,042,831,563,692,738,885,418,158,607,967,017,841,583,996,828,036,
386,180,924,566,981,784,675,754,946,374,257,765,792,710,319,911,270,592,820,
777,178,518,426,977,820,007,687,039,918,967,107,257,119,903,468,931,402,562,
551,836,722,256,324,112,100,719,412,282,518,863,706,662,827,222,598,483,739,
613,639,357,738,211,330,536,369,386,152,459,998,800,462,691,732,003,746,661,
537,355,308,892,541,150,682,395,646,438,802,330,466,603,386,973,487,925,170,
281,917,958,264,375,346,540,649,148,383,657,215,762,449,094,487,081,286,164,
720,549,243,514,124,970,801,269,835,041,702,459,031,997,372,608,594,979,836,
740,664,854,572,651,464,986,174,191,002,731,766,223,756,325,141,926,850,488,
918,366,052,998,054,540,839,509,116,944,770,726,887,876,725,027,322,886,237,
895,809,565,054,178,761,345,762,128,662,420,172,155,280,320,029,621,031,240,
893,544,450,693,834,453,293,126,242,343,178,432,984,997,770,786,000,918,535,
666,231,985,985,765,139,781,368,757,098,303,048,352,036,655,070,408,917,075,
107,782,209,860,058,829,982,666,916,150,188,905,969,273,091,551,482,426,539,
606,500,155,703,267,508,926,612,684,463,830,061,560,688,689,964,957,947,802,
584,263,272,444,071,961,715,651,362,698,996,178,870,277,459,247,644,083,233,
731,859,659,186,895,590,296,431,071,123,424,142,366,498,671,266,451,820,637,
425,511,641,957,497,466,204,321,338,779,746,022,734,309,268,492,057,099,263,
821,516,554,908,118,513,070,511,773,295,272,594,415,362,499,522,643,813,824,
181,994,894,666,973,505,846,706,630,323,978,839,729,440,465,837,487,340,053,
340,905,580,862,494,962,294,353,418,021,962,305,090,555,429,300,745,339,503,
692,918,154,253,666,252,179,166,480,538,756,800,075,318,649,962,228,133,157,
202,866,342,771,753,641,284,523,840,982,489,864,107,416,570,912,399,031,117,
546,133,918,677,166,089,794,829,459,959,024,484,723,134,416,506,702,785,524,
702,211,648,111,790,729,021,515,522,665,900,448,377,970,852,354,665,263,500,
371,078,403,307,363,769,957,083,890,774,201,563,406,560,623,171,249,174,275,
779,434,682,492,160,588,911,582,781,586,858,576,584,932,799,511,451,472,512,
576,941,469,296,095,177,100,325,338,396,941,864,628,413,368,033,096,876,273,
655,890,135,692,103,845,709,155,463,354,319,651,053,665,889,696,672,428,587,
230,460,165,548,407,094,452,647,449,033,299,781,285,016,819,194,237,718,675,
580,113,575,906,909,847,810,367,922,753,162,746,676,363,134,057,466,155,272,
412,697,818,547,639,861,858,928,677,831,996,264,143,459,728,647,263,910,704,
734,422,514,471,424,956,692,092,131,192,379,376,245,186,671,677,371,186,120,
049,358,743,457,837,510,491,249,824,310,073,319,517,766,216,374,594,923,848,
881,632,505,312,127,527,169,233,802,917,667,217,996,187,917,885,506,004,137,
816,623,529,107,833,302,867,465,246,724,464,946,027,686,335,896,956,219,628,
283,118,396,676,978,569,840,487,203,092,850,719,537,086,280,484,712,210,133,
566,058,021,519,464,792,196,174,482,412,865,974,114,114,010,757,907,497,054,
950,710,676,959,485,313,708,331,147,009,509,768,968,469,930,278,521,509,653,
960,881,096,061,484,143,157,154,101,410,895,248,007,222,226,400,343,165,684,
141,269,836,131,884,561,339,516,440,470,656,271,243,625,944,794,871,507,525,
106,747,857,473,901,545,360,693,613,310,116,794,660,390,458,145,446,893,686,
901,489,342,800,405,294,243,418,190,028,006,294,325,530,451,162,719,536,032,
865,385,475,423,915,255,944,278,078,194,941,994,944,612,780,630,059,098,456,
756,491,088,489,420,816,775,585,358,973,048,049,204,725,782,949,849,296,565,
276,179,804,107,444,451,646,162,793,293,539,252,057,938,150,027,400,791,254,
688,627,455,812,418,700,735,781,199,948,638,454,828,125,324,564,579,840,297,
930,369,241,941,831,309,372,341,262,516,134,217,167,308,170,725,051,748,967,
819,565,544,692,181,533,118,850,611,749,874,334,971,690,705,639,502,229,852,
875,240,295,891,924,430,266,988,398,347,008,582,724,415,538,641,826,717,741,
881,666,764,791,091,932,026,366,303,590,241,757,424,300,072,692,284,460,380,
820,690,239,074,441,535,122,646,365,906,926,944,516,922,778,686,149,538,048,
053,718,474,402,618,779,130,982,093,646,361,717,245,013,689,287,543,484,881,
121,027,391,256,363,340,467,384,922,738,164,741,440,588,665,504,706,093,731,
650,425,980,434,023,741,462,758,942,110,133,014,308,854,735,322,362,690,905,
883,860,957,239,461,234,699,467,061,389,266,025,849,197,148,562,573,467,981,
891,542,776,129,328,723,341,222,964,223,830,788,956,343,533,466,680,738,569,
322,763,979,833,103,551,565,205,439,742,915,022,841,367,418,376,236,952,883,
988,359,675,963,680,173,791,118,167,967,355,649,135,568,564,987,352,579,372,
080,119,095,806,039,306,916,620,173,483,000,801,174,259,263,816,966,755,995,
314,733,941,468,685,531,179,257,523,911,314,826,301,359,972,501,939,736,808,
183,619,887,461,355,577,883,071,038,659,735,448,629,680,788,729,561,241,377,
253,263,905,855,450,470,880,333,764,902,119,415,943,008,767,422,684,238,207,
721,907,437,229,926,626,243,782,281,764,105,652,896,425,959,696,762,895,100,
442,306,359,434,599,966,041,590,995,537,758,337,261,074,466,353,582,825,123,
924,991,329,028,184,016,163,743,324,267,282,758,267,914,942,087,541,405,930,
658,011,977,604,481,059,575,781,777,549,874,353,161,642,930,683,251,489,414,
182,190,229,386,224,917,016,369,631,306,797,629,613,346,941,641,991,504,075,
444,623,400,483,047,791,407,686,622,989,137,033,326,665,043,023,407,125,207,
356,266,388,585,218,911,407,008,127,065,556,989,291,777,322,226,352,231,054,
307,098,740,092,211,538,288,288,205,956,511,955,631,615,156,471,160,862,897,
298,217,346,246,733,336,762,159,708,118,642,768,274,589,547,351,829,784,176,
403,853,582,035,598,577,698,565,631,453,881,641,938,806,225,476,192,621,093,
819,688,057,429,665,136,242,299,744,137,418,455,154,459,364,250,391,182,110,
479,723,799,887,229,117,332,935,630,495,679,213,659,309,933,451,669,784,550,
418,688,759,732,011,758,051,852,055,333,169,055,089,499,927,593,895,661,044,
168,854,651,093,654,973,421,883,505,009,971,453,100,734,137,088,765,863,139,
300,814,565,654,856,454,559,354,404,627,316,958,926,864,965,141,208,980,864,
112,106,180,161,213,604,690,813,724,436,468,834,574,466,748,291,943,243,691,
831,959,285,775,512,798,442,816,508,911,323,403,543,823,232,823,981,449,536,
262,425,302,735,747,521,970,416,690,201,559,574,899,915,862,701,829,250,135,
862,914,607,183,250,961,559,793,195,217,890,174,807,838,776,890,495,658,345,
467,087,372,588,462,686,109,593,321,030,857,767,404,221,659,251,226,369,949,
411,295,590,488,000,696,821,284,999,725,400,358,769,252,202,360,785,999,578,
174,417,864,210,523,522,217,813,576,696,909,485,461,773,960,565,315,771,503,
057,650,356,937,703,601,094,730,570,423,348,698,387,958,019,917,449,421,952,
032,840,269,308,180,178,323,581,668,100,037,804,367,405,511,316,173,824,838,
044,286,750,681,963,645,040,871,599,081,253,533,021,721,787,557,385,631,527,
760,006,701,302,658,291,716,897,991,325,470,395,870,611,697,831,763,299,042,
004,596,004,556,223,095,353,912,070,768,679,817,638,028,515,658,255,860,932,
910,709,119,882,693,690,504,914,507,032,671,344,158,058,244,760,764,310,940,
361,165,201,564,836,019,101,989,183,690,241,144,987,375,192,896,610,611,351,
597,679,879,166,767,665,026,412,190,359,329,074,618,527,520,567,192,853,888,
854,988,896,477,866,780,757,246,229,922,191,914,208,156,821,645,711,291,078,
081,152,698,675,427,991,329,208,252,791,175,611,923,400,863,231,101,867,849,
862,942,278,298,482,433,947,067,053,417,918,842,893,303,067,178,155,775,316,
291,470,412,191,825,839,895,421,824,784,252,275,882,990,470,992,135,526,321,
924,341,276,144,637,437,526,568,263,792,784,588,057,218,062,141,708,622,933,
726,429,030,252,662,842,664,503,876,042,170,497,707,873,047,288,584,910,497,
352,560,216,546,214,110,793,993,043,633,171,054,648,346,409,412,234,137,806,
288,596,952,719,204,182,992,825,690,222,175,296,532,977,062,512,731,359,990,
722,801,939,461,436,595,710,286,616,078,427,460,213,491,800,086,353,561,673,
394,081,687,716,575,815,252,106,221,199,941,768,085,304,690,865,418,560,274,
778,144,375,234,942,704,335,327,789,850,835,298,287,968,553,565,354,234,572,
185,459,728,057,336,999,830,971,524,699,866,618,058,206,910,871,349,483,567,
094,660,951,090,351,861,761,693,119,613,979,663,600,304,941,516,901,462,299,
484,885,218,691,469,715,925,614,233,899,419,432,706,447,822,918,012,062,923,
420,941,238,059,915,842,233,924,912,476,087,705,244,411,356,659,951,138,653,
078,745,087,846,619,882,592,741,566,587,187,833,817,221,512,142,121,136,287,
475,984,923,077,096,304,914,460,111,077,347,613,556,053,160,731,445,531,994,
549,720,304,175,421,582,469,845,052,928,214,904,029,769,862,333,933,698,190,
702,727,258,863,205,919,382,677,765,086,244,849,699,090,411,035,243,217,739,
291,425,855,550,102,252,286,904,970,526,918,155,971,800,611,090,354,965,146,
265,885,670,246,940,047,303,734,167,314,005,731,130,953,033,500,163,666,697,
478,046,253,181,483,489,025,383,915,195,411,751,693,080,793,927,914,205,706,
063,396,442,651,639,346,521,843,688,195,321,237,035,647,031,570,168,024,459,
780,977,042,480,568,979,630,057,971,264,832,363,720,555,146,341,876,184,889,
657,749,835,002,008,582,163,476,742,217,456,397,713,175,359,603,178,087,130,
618,110,685,489,561,897,259,667,194,277,019,584,218,067,405,462,572,190,166,
532,511,970,747,800,339,053,283,819,018,580,992,216,700,386,506,518,346,512,
162,804,555,621,303,403,208,897,494,609,586,056,122,510,912,282,369,084,484,
648,529,343,971,182,194,780,500,871,092,444,612,701,517,349,378,522,311,453,
785,384,558,022,524,501,338,313,766,917,974,792,952,695,356,286,007,504,069,
990,413,103,528,318,274,701,663,628,675,314,653,971,987,871,051,909,249,461,
720,588,801,708,832,993,869,619,888,871,523,766,415,964,416,332,706,439,347,
508,494,751,786,422,848,058,355,614,365,503,273,344,719,194,676,096,317,090,
507,498,876,600,495,022,591,956,222,144,861,175,871,068,380,989,511,831,775,
422,633,294,931,387,127,842,481,380,187,606,732,068,412,350,508,732,109,300,
927,723,757,080,733,622,046,546,986,575,742,909,286,940,614,950,205,041,026,
081,255,370,516,660,841,490,306,778,583,873,561,305,720,858,323,945,023,322,
464,746,131,888,895,528,263,878,469,568,870,779,512,777,202,761,658,970,556,
460,740,192,883,557,691,462,895,159,091,958,651,369,763,050,406,850,289,067,
219,634,318,993,784,212,247,415,210,755,264,311,601,416,960,293,597,921,369,
674,678,096,188,647,896,839,009,242,167,239,715,561,941,781,749,743,408,053,
505,821,323,694,208,518,669,061,847,635,302,024,841,874,539,007,842,671,621,
879,610,271,614,758,979,494,082,996,801,181,677,262,746,303,853,736,179,875,
635,926,754,142,819,833,710,746,200,030,507,533,810,908,726,715,798,863,931,
883,977,544,476,957,865,129,606,217,507,060,497,296,744,905,886,672,404,458,
557,524,551,492,866,722,395,620,144,058,570,893,497,086,898,923,671,320,349,
379,037,247,879,265,528,034,464,603,822,714,914,285,510,382,629,618,938,207,
418,094,942,577,089,171,958,149,133,714,584,720,825,203,050,628,057,705,050,
430,268,608,210,778,373,061,556,317,323,884,849,720,332,446,616,129,278,642,
247,198,714,151,454,645,899,969,043,355,625,838,044,407,665,460,665,592,514,
645,569,963,715,699,156,121,474,431,252,252,247,777,822,034,378,061,508,308,
506,692,545,619,001,100,765,231,536,051,006,912,150,357,413,120,160,985,395,
897,637,356,917,460,264,950,028,397,420,672,240,320,342,503,864,852,670,717,
020,125,015,138,370,694,238,419,445,613,179,415,739,990,901,332,839,039,750,
016,273,070,317,776,158,600,091,853,207,324,445,773,707,486,906,111,194,093,
597,173,273,836,482,788,549,552,071,508,629,045,713,014,893,923,636,017,163,
178,968,931,335,510,067,133,422,359,420,563,695,353,347,686,475,471,969,945,
621,449,768,835,383,885,568,801,539,837,336,906,373,403,396,585,747,827,541,
535,923,784,944,829,132,462,767,518,366,421,966,688,445,413,357,893,120,437,
153,808,507,932,151,669,287,721,597,923,584,265,407,661,355,642,836,289,637,
141,755,912,024,650,440,865,147,855,941,405,002,947,925,273,319,786,365,116,
658,434,001,947,997,115,759,433,495,844,372,798,273,957,558,574,045,056,736,
481,391,481,972,870,850,746,586,031,175,776,637,294,752,391,096,174,958,328,
953,740,317,856,160,246,939,075,621,360,013,421,698,422,881,535,290,994,968,
383,916,261,609,958,562,942,483,099,874,278,547,030,423,442,350,898,628,531,
738,931,917,380,028,552,722,751,730,603,207,563,701,594,293,794,758,747,548,
826,106,071,170,827,946,653,873,455,044,903,261,882,233,270,952,456,278,316,
587,988,268,408,727,855,304,015,536,711,672,152,422,190,112,667,924,635,749,
879,910,946,684,882,521,993,385,823,812,623,740,839,282,369,021,799,548,218,
447,968,823,806,283,229,822,805,390,574,938,877,604,014,535,648,701,061,890,
500,582,392,562,267,078,316,315,502,396,660,739,305,683,526,122,125,268,078,
836,416,782,086,063,738,990,560,359,670,026,293,679,605,570,112,131,745,470,
509,349,494,100,110,232,164,335,102,034,012,044,984,478,944,175,247,842,784,
222,927,091,450,302,504,910,048,545,527,068,717,640,006,603,220,731,065,968,
375,200,554,261,433,155,706,249,987,094,149,716,269,443,819,072,699,340,009,
447,585,289,436,295,287,940,858,478,617,533,075,162,160,962,233,626,128,252,
713,457,042,000,789,079,064,468,779,851,406,169,759,667,875,093,982,246,031,
604,092,805,775,966,501,140,624,680,061,685,679,888,410,502,397,904,145,402,
886,637,949,289,127,041,158,742,661,455,529,955,528,252,570,900,280,005,169,
554,746,124,325,499,117,064,820,357,456,385,828,745,060,476,644,676,276,876,
971,533,428,660,809,271,401,535,168,282,704,203,670,803,539,629,810,006,087,
383,176,737,058,365,451,572,668,808,287,471,498,346,684,330,517,435,542,033,
760,938,614,966,507,988,662,788,020,051,168,485,896,592,750,491,335,351,074,
767,784,428,254,453,207,794,922,203,158,639,500,313,372,329,740,535,183,627,
789,787,379,247,264,174,184,752,286,640,429,349,164,741,832,075,531,208,476,
014,293,761,550,536,935,578,151,671,989,965,287,233,210,144,467,782,094,585,
901,299,101,555,778,077,418,368,471,565,223,162,419,705,010,473,288,319,443,
490,512,920,028,385,323,477,749,215,692,059,386,722,662,340,604,335,014,011,
232,711,576,104,763,352,870,053,098,349,488,127,436,671,696,001,614,864,800,
039,097,836,773,420,469,295,190,528,224,344,566,958,651,616,038,296,290,808,
893,982,750,124,602,053,565,412,420,774,812,758,024,428,212,922,244,015,532,
415,046,541,442,500,882,057,663,323,506,890,631,069,140,496,225,144,553,029,
663,021,047,675,862,215,090,140,824,921,183,788,019,643,336,093,815,905,374,
584,780,279,312,520,320,812,204,205,360,079,810,768,574,565,483,995,904,934,
711,382,513,995,566,244,236,182,429,443,390,159,019,202,512,983,955,691,234,
138,325,660,254,074,818,516,192,013,730,442,478,911,561,191,472,044,364,011,
312,633,105,179,733,536,452,138,174,323,040,446,085,765,038,027,454,716,435,
517,506,287,531,830,705,396,557,153,034,010,059,865,375,676,225,960,229,399,
375,832,049,090,437,381,735,706,857,670,916,694,419,601,144,935,743,916,571,
796,036,067,935,596,007,391,551,214,671,665,227,455,712,796,780,896,861,838,
565,310,627,603,530,041,468,348,230,469,885,051,914,636,118,625,334,382,785,
431,984,654,404,523,325,085,798,214,341,306,808,904,549,370,541,026,124,927,
055,845,888,467,028,613,764,520,887,747,641,114,955,873,668,171,684,565,311,
381,371,762,547,872,147,488,154,768,876,392,467,746,511,159,625,299,187,154,
414,244,478,302,820,919,807,944,425,080,346,054,626,677,736,263,700,560,089,
462,987,315,339,221,828,851,709,808,832,007,399,730,153,677,311,854,500,404,
311,070,987,419,979,245,868,574,792,516,762,745,806,465,451,296,799,659,951,
294,273,614,396,484,841,376,711,546,504,483,073,855,543,014,837,187,985,941,
520,472,935,798,985,676,338,600,578,824,715,403,826,164,392,296,462,967,160,
471,564,956,476,976,204,996,040,496,023,011,804,954,210,834,823,775,693,313,
122,255,873,081,186,714,315,854,747,447,465,845,001,976,607,129,391,556,111,
558,968,571,431,598,394,768,667,066,007,984,485,338,737,891,942,021,815,443,
522,540,865,323,649,448,297,080,032,677,562,400,200,032,826,068,157,717,824,
007,095,107,633,874,553,820,641,097,248,677,583,301,599,432,957,769,572,543,
205,944,694,278,998,986,298,491,004,496,314,163,045,024,050,198,232,239,648,
850,445,411,159,986,232,691,518,025,815,550,739,796,560,275,988,836,077,166,
827,228,178,450,430,222,357,312,647,601,874,872,465,658,895,512,811,008,737,
966,345,573,954,447,409,359,360,813,839,043,316,254,670,910,555,326,250,311,
911,648,657,289,333,996,948,624,359,133,712,219,621,259,062,955,582,138,046,
574,587,958,099,242,364,586,233,582,453,812,095,871,843,237,519,845,848,610,
421,711,097,441,045,559,836,296,800,558,444,841,636,156,347,731,476,493,107,
355,365,474,710,605,440,986,226,094,082,731,957,871,627,167,533,109,222,561,
191,197,100,089,445,456,739,474,629,457,285,134,208,757,666,484,483,894,640,
287,821,923,812,929,163,919,140,324,570,972,637,078,519,617,493,750,965,398,
209,805,814,351,861,921,516,600,061,239,395,477,845,567,698,864,343,574,452,
937,365,862,090,081,644,050,345,818,142,638,860,374,650,003,804,802,541,690,
755,298,156,432,521,846,636,350,280,813,931,880,241,634,814,352,918,646,143,
015,293,527,467,824,820,418,338,144,521,242,627,468,138,974,630,291,933,290,
152,700,821,450,767,166,609,526,977,123,665,027,080,946,339,311,440,719,670,
655,574,062,010,810,130,498,781,959,325,263,950,079,030,346,944,308,765,776,
295,249,605,579,707,119,745,630,851,021,838,409,995,239,514,860,132,610,787,
915,642,037,527,342,777,798,154,579,383,093,377,071,611,348,092,135,514,018,
789,278,410,504,279,959,166,959,638,502,443,938,446,216,695,507,689,610,268,
729,249,486,822,353,916,722,436,925,398,597,926,002,996,362,599,236,860,585,
744,406,163,945,464,670,808,048,439,187,614,861,516,896,550,385,726,151,887,
905,478,061,997,752,054,635,036,869,349,794,679,692,341,843,503,814,207,384,
922,646,045,157,807,506,041,195,748,231,035,779,450,738,987,065,281,637,652,
687,384,866,592,441,430,844,063,639,316,532,179,748,805,120,836,122,837,227,
684,437,063,500,736,383,744,436,769,730,415,699,450,700,176,353,222,067,566,
219,641,480,572,540,904,384,444,101,967,425,617,434,820,813,854,297,141,990,
935,594,108,158,679,183,391,164,607,058,259,575,825,689,734,208,331,248,477,
682,899,007,158,772,457,772,642,601,992,993,691,717,746,751,378,134,317,261,
866,341,967,464,805,096,706,176,855,197,089,731,121,925,411,700,083,947,337,
804,501,254,929,981,257,441,749,143,110,767,798,019,069,182,698,071,408,833,
557,948,119,160,089,559,749,022,246,483,099,976,922,585,374,184,811,474,422,
363,862,500,902,798,011,575,404,543,066,191,549,179,526,611,409,313,313,541,
998,285,729,512,512,409,865,236,256,311,964,677,689,129,287,069,611,941,811,
451,482,745,858,661,890,027,638,979,243,446,656,904,781,087,702,429,277,857,
361,144,010,215,089,588,736,642,024,967,041,444,298,902,024,516,576,933,646,
704,772,896,098,988,909,112,046,199,042,981,830,434,623,937,125,848,258,347,
893,803,551,443,551,882,993,240,744,473,269,030,012,589,559,717,781,192,777,
621,443,675,154,753,534,043,968,799,570,585,587,077,474,097,849,276,398,104,
191,762,203,231,977,040,125,266,461,582,481,646,318,785,398,723,588,427,720,
601,338,411,945,039,254,069,007,755,102,815,705,611,587,903,341,288,903,539,
599,038,765,836,988,370,893,662,016,479,532,854,483,713,225,512,295,476,421,
381,585,205,367,460,587,182,433,595,168,321,108,609,679,089,712,443,857,336,
126,417,054,354,784,033,240,573,355,556,359,454,962,688,388,126,619,887,323,
981,170,014,661,414,629,773,572,105,073,549,963,570,251,486,039,563,763,026,
365,903,890,755,730,981,424,151,798,581,359,536,245,658,853,546,120,974,858,
347,803,331,068,547,712,646,335,294,579,784,651,081,299,050,952,534,449,530,
705,830,426,067,233,807,820,195,167,948,663,929,859,810,992,213,988,427,131,
524,133,130,323,122,409,701,089,519,143,359,853,124,975,829,782,720,478,490,
155,859,956,205,802,108,560,692,173,488,476,355,295,683,885,990,522,545,757,
421,633,712,715,021,573,955,469,470,133,356,710,399,526,026,237,642,230,506,
494,429,565,364,866,700,129,676,313,077,489,848,918,332,420,208,728,810,611,
058,944,827,096,239,449,733,042,845,116,333,389,378,994,016,551,576,208,611,
516,112,522,913,524,591,687,712,193,998,871,741,500,208,217,403,380,956,483,
722,894,843,359,107,174,557,525,703,461,744,407,254,980,731,653,299,544,213,
637,277,619,969,949,626,293,616,272,399,758,926,850,617,181,786,472,343,225,
884,923,930,540,064,817,554,052,711,937,820,615,106,974,670,892,950,687,273,
193,243,523,485,565,090,104,167,316,644,654,616,772,549,514,016,366,782,261,
419,952,578,212,227,239,477,328,293,255,018,015,121,165,192,429,086,840,755,
155,285,249,339,679,966,755,294,319,811,491,204,574,045,792,695,965,538,916,
133,107,866,698,952,206,546,011,024,394,255,552,346,818,842,188,885,658,714,
256,856,702,087,758,479,622,726,300,194,892,434,494,750,845,424,270,209,563,
383,358,149,799,067,654,747,836,798,623,347,154,784,422,790,615,115,658,887,
983,652,751,198,383,325,878,604,335,233,038,146,494,653,749,432,037,696,474,
563,904,040,337,437,121,689,888,105,053,731,017,699,065,176,394,943,498,031,
123,389,290,084,701,865,927,342,204,687,104,161,449,716,730,031,630,968,716,
968,169,267,181,634,277,831,338,468,320,835,884,626,704,983,135,497,906,335,
316,799,638,464,547,989,110,790,880,075,448,813,179,817,738,301,313,613,640,
927,799,236,452,093,896,480,647,161,546,429,861,567,157,319,500,399,303,672,
234,808,327,975,361,765,681,646,954,908,902,148,644,354,842,550,215,969,951,
792,350,731,086,990,749,274,723,128,994,958,205,627,229,313,392,848,554,820,
339,701,131,873,702,632,829,350,587,851,280,265,029,306,152,125,157,608,549,
536,757,993,812,182,690,024,485,981,898,587,804,578,992,345,019,746,457,528,
443,488,759,946,326,165,505,378,930,277,053,467,632,832,480,294,820,520,139,
241,678,266,044,144,975,950,502,520,075,061,432,139,634,765,109,530,825,182,
977,006,374,428,881,405,587,385,001,318,796,247,474,672,907,462,807,781,115,
375,642,441,275,699,930,868,832,267,107,853,466,581,856,122,116,988,718,708,
251,560,962,678,850,630,961,590,105,064,521,882,012,014,127,271,298,643,217,
962,364,380,749,316,052,499,143,652,560,693,425,431,687,591,824,186,904,862,
708,167,844,473,253,634,650,767,415,140,160,187,260,087,426,418,300,543,001,
998,665,259,220,812,577,851,265,098,390,665,261,325,856,410,706,153,309,077,
279,944,257,491,928,297,773,726,857,497,686,161,914,577,007,085,644,236,613,
167,861,440,862,754,523,317,196,770,390,489,829,953,911,248,323,736,800,214,
536,938,050,657,499,938,727,084,321,276,306,887,503,252,408,339,696,522,197,
384,343,402,881,607,946,033,023,160,478,711,316,381,813,096,840,705,861,952,
564,231,774,861,910,201,113,828,716,791,502,456,708,247,419,858,877,517,043,
471,435,283,812,624,751,273,413,626,834,248,415,077,278,690,114,629,716,748,
471,916,814,142,035,921,367,204,345,943,963,172,220,201,236,232,897,355,716,
727,715,075,256,712,204,412,350,012,533,432,205,579,209,374,782,233,528,086,
838,001,696,247,112,615,295,815,318,572,538,453,904,426,268,721,776,661,991,
885,300,885,677,904,606,242,073,151,717,915,199,197,003,566,506,173,012,285,
582,097,659,653,576,071,147,151,976,534,721,229,891,395,351,232,255,928,385,
058,410,669,599,880,664,268,741,665,329,268,903,486,025,577,019,087,018,285,
901,925,953,401,063,106,551,721,879,192,705,922,203,644,688,314,865,812,229,
970,890,952,475,166,970,722,387,104,604,503,502,524,149,811,139,651,659,865,
122,613,175,249,458,670,112,432,046,521,651,558,935,892,762,999,302,049,133,
204,645,255,912,820,976,886,497,007,632,708,800,056,819,883,740,247,306,863,
437,862,323,329,487,559,299,378,509,178,338,420,226,153,228,081,114,921,500,
122,554,817,186,716,147,033,428,414,012,624,680,855,772,854,219,200,830,950,
311,357,483,993,403,392,177,884,960,311,249,463,444,626,973,275,539,574,207,
864,969,173,306,776,687,839,616,766,747,394,668,117,175,860,041,615,623,753,
989,149,067,363,155,714,877,060,322,857,713,861,552,352,675,143,742,409,631,
756,129,071,284,791,241,657,562,933,455,507,795,076,093,848,204,424,060,923,
311,132,929,760,461,376,354,812,612,706,237,482,619,413,733,772,650,898,638,
313,194,689,988,937,238,781,772,141,222,421,030,837,688,913,381,703,983,053,
500,535,397,390,786,360,962,646,113,097,978,949,220,547,073,297,173,481,249,
216,490,624,560,707,429,824,056,042,312,272,215,006,509,313,005,672,151,236,
960,658,366,459,610,289,763,786,367,475,618,696,151,713,180,814,504,145,897,
961,635,863,120,605,528,084,922,177,481,856,518,628,759,336,718,665,212,185,
916,370,321,646,540,127,694,314,185,226,468,577,752,071,207,539,440,215,948,
422,686,336,280,388,833,614,638,951,279,213,966,779,009,512,557,870,182,358,
142,709,426,749,883,436,371,120,330,589,560,250,001,638,726,961,290,460,914,
264,450,983,285,134,270,936,388,748,000,532,893,968,866,058,064,634,513,410,
871,017,522,321,917,634,821,975,805,983,386,391,388,218,875,017,087,765,456,
216,769,355,648,426,781,553,976,160,184,950,301,401,623,249,036,320,534,456,
926,506,506,278,094,346,994,839,707,258,395,009,839,244,490,004,373,861,024,
173,777,714,694,324,402,452,410,860,623,671,430,627,501,474,632,705,653,817,
798,707,664,080,744,616,055,464,481,466,571,876,242,997,977,180,770,398,568,
354,945,432,866,854,349,302,108,202,597,325,371,028,798,609,212,204,973,947,
726,217,028,791,456,536,474,886,712,110,655,460,605,302,576,118,191,969,976,
917,122,820,518,944,962,080,923,256,755,051,362,221,410,368,448,946,962,619,
368,430,607,731,670,413,987,939,891,300,734,523,582,027,026,739,397,310,431,
745,054,041,576,194,224,313,136,526,357,798,596,177,693,277,201,427,470,792,
580,263,753,746,449,837,360,897,364,382,570,745,874,796,166,423,232,208,784,
087,214,029,912,288,842,638,585,274,144,026,196,632,278,822,407,535,700,630,
867,362,219,476,563,660,811,119,400,455,681,412,991,757,427,466,661,810,189,
245,785,646,747,703,603,907,890,659,371,596,390,736,899,947,717,772,408,409,
505,023,616,791,945,618,206,438,446,900,697,092,761,573,986,907,473,040,369,
428,863,309,713,259,371,766,645,216,639,182,787,241,522,140,640,293,978,306,
955,715,641,502,237,529,619,449,966,736,642,995,770,947,409,460,075,859,615,
154,967,689,712,057,851,747,677,021,106,335,318,443,163,154,211,457,151,144,
109,710,996,059,446,259,623,051,727,779,822,896,892,048,467,318,475,671,980,
174,395,362,740,446,698,238,139,504,284,213,230,215,975,536,846,345,631,941,
927,465,758,333,641,017,501,500,764,409,692,771,544,713,236,853,612,455,642,
885,793,170,598,416,920,303,126,010,716,637,475,621,303,143,557,163,769,114,
580,611,587,920,135,692,572,425,325,827,246,736,313,842,476,952,014,278,408,
362,969,569,770,477,495,056,803,751,230,919,722,428,112,518,989,099,832,531,
270,566,197,645,742,981,691,733,050,884,852,228,856,455,723,744,262,777,124,
152,689,529,958,191,979,497,978,544,702,415,942,356,271,647,542,858,201,394,
176,394,703,657,656,435,775,096,677,949,785,832,817,009,747,516,350,641,120,
481,821,746,681,562,601,916,809,053,807,141,343,498,664,505,726,038,627,251,
879,228,452,941,098,461,298,333,066,176,164,451,324,746,913,615,099,501,641,
550,484,163,215,506,944,817,818,078,046,259,782,507,799,209,467,428,110,931,
570,740,744,564,002,067,123,737,648,115,596,963,390,403,821,822,561,907,813,
389,402,301,015,268,164,234,636,844,800,542,965,419,827,162,381,424,730,239,
694,102,080,330,732,360,781,633,022,728,605,558,714,191,380,764,478,404,586,
988,941,001,560,850,953,874,775,977,302,099,023,787,451,459,502,239,699,062,
213,252,979,883,449,409,435,442,446,427,407,466,407,431,675,862,121,666,858,
943,952,247,139,101,945,593,495,402,084,812,978,805,573,465,433,661,512,596,
785,089,347,117,763,212,149,715,881,584,328,784,435,577,736,901,598,088,949,
775,106,534,346,524,204,945,929,706,862,474,967,584,092,473,130,479,167,632,
821,082,878,361,270,507,303,292,248,580,236,306,286,143,060,232,425,581,451,
535,582,928,109,933,296,579,137,043,568,284,366,180,982,842,107,675,716,877,
752,244,159,272,138,211,865,600,413,876,923,867,446,005,483,174,728,492,354,
248,911,810,351,053,197,732,688,416,762,048,003,254,772,012,790,190,171,143,
752,155,311,302,374,350,649,503,431,089,577,580,713,787,446,798,822,770,933,
369,802,969,715,835,262,164,657,739,097,402,549,264,395,417,244,477,932,344,
344,552,895,948,297,800,850,173,736,565,699,443,146,438,841,777,865,947,440,
651,759,392,319,136,105,771,174,268,665,215,145,346,698,782,141,621,261,707,
912,586,573,138,641,500,844,250,470,447,896,564,021,468,964,363,812,904,301,
245,116,185,474,985,998,826,596,051,649,028,271,029,728,964,620,612,425,523,
910,316,748,652,416,549,877,955,776,212,783,544,561,385,700,199,104,400,422,
976,403,122,272,924,488,848,375,452,854,206,139,266,668,478,753,880,867,319,
379,686,025,406,709,917,828,890,541,006,684,480,432,797,936,163,403,029,891,
809,253,748,544,631,617,655,819,760,993,205,945,165,417,093,954,338,343,774,
416,237,989,579,907,792,467,264,399,874,893,694,079,491,409,263,982,090,155,
025,214,648,286,718,662,335,380,717,467,592,897,577,271,965,469,282,894,801,
887,237,148,792,618,079,330,080,305,972,550,391,571,665,281,527,274,698,421,
382,371,266,884,889,646,741,998,759,213,186,741,500,784,536,268,825,025,403,
536,703,267,461,169,683,385,387,897,239,265,552,256,870,362,731,920,827,030,
988,992,446,701,818,226,087,843,493,807,823,920,092,415,121,915,957,229,973,
047,007,396,219,227,801,961,580,537,995,792,231,169,657,691,332,398,347,942,
629,041,663,493,674,106,941,342,825,419,858,967,193,998,483,743,565,721,991,
299,780,639,162,917,296,006,407,039,867,509,913,642,417,594,935,431,760,133,
106,769,409,425,173,091,146,648,173,689,123,500,780,308,386,969,863,330,461,
209,924,733,754,071,744,118,730,942,531,429,705,001,503,602,472,407,699,548,
087,575,024,420,204,431,661,084,596,084,571,229,022,839,070,229,428,079,922,
086,580,007,453,549,353,462,893,433,979,577,233,821,179,523,162,081,492,598,
422,408,249,067,062,475,801,022,415,398,002,051,589,520,918,745,251,786,702,
113,298,351,113,653,315,385,006,104,532,420,464,520,954,246,102,409,797,513,
995,034,997,703,196,867,294,111,672,647,714,747,087,364,287,228,589,695,457,
014,279,544,085,601,846,417,050,416,242,406,822,065,188,770,296,787,080,797,
505,904,626,174,965,938,813,305,460,897,394,228,876,300,677,361,873,310,275,
653,632,538,229,949,956,173,008,640,201,088,322,560,721,491,140,391,815,049,
147,395,205,047,373,031,380,564,874,650,743,557,331,788,847,953,964,926,833,
494,082,302,323,310,318,941,768,568,325,093,218,209,497,135,711,624,712,639,
434,813,332,335,104,242,563,778,184,499,587,516,923,357,945,964,485,228,423,
045,997,282,031,823,506,980,256,965,310,092,889,799,780,478,362,554,661,504,
229,980,100,980,372,154,413,238,819,341,041,883,650,071,511,012,795,892,372,
581,149,523,593,691,258,022,811,651,854,413,411,841,439,128,036,280,510,876,
080,800,332,187,766,471,157,408,733,729,273,790,696,505,815,682,321,392,018,
308,810,326,661,722,752,120,532,653,348,451,365,443,711,535,439,264,666,950,
210,008,160,815,103,923,727,323,791,207,892,631,266,640,983,335,344,295,123,
628,347,121,232,662,510,694,088,017,579,578,162,032,190,515,032,177,653,181,
355,961,391,644,032,460,312,418,666,460,073,105,545,942,178,159,830,090,758,
038,543,465,106,958,453,968,857,289,670,427,978,411,624,662,881,068,882,342,
454,998,620,099,520,656,754,060,407,811,009,667,284,493,851,538,184,647,867,
161,946,038,465,002,641,042,409,760,175,637,596,583,510,364,870,390,396,294,
530,700,385,195,193,131,743,566,870,566,925,734,343,818,102,336,569,452,912,
943,040,369,393,538,727,611,588,404,875,510,462,044,779,028,954,559,982,299,
696,458,321,696,179,513,065,886,908,858,795,124,418,256,558,541,573,095,960,
969,509,701,230,265,690,643,224,168,619,508,055,954,509,638,183,163,439,423,
125,601,571,222,590,036,376,765,428,699,207,106,932,159,406,014,601,768,705,
593,559,444,383,517,625,530,986,909,440,133,928,743,925,666,847,347,827,912,
004,615,462,633,467,380,591,329,533,754,002,099,818,392,433,709,785,058,684,
944,379,107,248,104,738,882,562,698,159,841,237,889,712,703,385,222,502,388,
336,854,561,190,682,489,637,215,003,947,199,568,172,248,915,808,659,546,279,
367,465,268,182,664,073,127,444,554,676,806,042,450,292,729,501,248,331,499,
422,426,456,552,721,175,176,456,465,142,055,747,397,206,499,615,522,376,080,
656,025,793,714,980,495,070,913,848,209,123,059,736,798,323,658,098,994,839,
969,396,359,855,831,597,305,700,717,327,892,203,965,330,452,069,649,616,173,
689,340,979,133,482,836,958,760,213,148,934,220,598,246,001,004,926,763,499,
172,488,089,007,391,774,114,559,324,826,589,858,842,063,004,801,069,404,685,
058,083,811,361,968,617,553,870,751,582,469,687,926,485,229,536,242,385,512,
173,896,799,860,464,226,366,375,954,314,411,241,471,302,083,471,944,193,198,
141,370,521,178,047,983,692,345,727,867,201,090,004,513,878,147,536,130,291,
941,897,367,424,192,650,744,327,051,583,892,275,009,301,732,999,962,637,333,
114,929,208,093,472,621,324,626,089,594,251,533,282,773,453,130,052,904,081,
084,234,753,331,537,932,082,370,442,990,496,040,146,917,521,788,029,868,547,
432,800,648,351,777,482,077,523,577,966,086,851,289,652,834,963,069,086,894,
058,128,537,184,970,739,456,382,373,854,889,827,257,094,084,930,408,249,158,
267,951,882,157,713,818,442,633,825,357,895,308,850,621,448,394,703,086,506,
789,270,558,599,172,821,707,468,081,256,361,128,643,165,714,047,991,685,486,
739,729,324,775,085,281,975,874,570,074,040,782,257,961,756,436,306,843,450,
217,365,569,392,804,985,059,230,393,594,158,557,846,125,163,805,854,306,631,
763,784,832,021,268,527,897,949,615,024,167,262,405,154,905,945,818,490,173,
396,082,980,211,710,423,454,591,603,918,422,375,936,798,908,034,712,028,736,
071,748,654,506,190,584,909,201,627,297,381,143,026,292,859,868,249,228,768,
147,730,553,624,833,163,996,042,360,244,147,052,022,604,877,975,312,251,444,
173,124,486,760,699,046,291,367,170,404,199,878,468,945,514,626,292,839,436,
363,939,367,712,602,266,239,393,419,525,291,954,984,845,262,547,096,226,482,
570,082,999,310,464,759,303,922,531,094,213,704,133,054,901,027,377,061,569,
073,252,159,583,018,961,754,779,982,168,875,694,213,694,412,664,097,617,117,
711,422,717,199,074,136,177,109,630,848,482,221,162,631,924,370,546,603,048,
739,192,128,520,020,642,472,228,176,710,254,201,903,733,181,883,494,032,958,
960,490,415,242,976,787,867,796,944,446,468,491,814,407,549,122,040,750,561,
311,436,462,239,177,046,970,745,473,857,226,548,506,459,784,234,560,054,295,
782,705,438,389,376,283,924,106,805,948,919,761,653,093,788,421,775,106,454,
026,828,207,014,048,525,367,719,164,052,277,097,261,857,392,692,770,475,969,
555,493,618,377,530,621,649,414,254,733,845,249,626,112,114,234,911,478,786,
612,030,416,610,509,370,230,903,507,324,271,859,439,622,861,821,735,421,214,
536,662,432,630,632,782,012,892,447,890,585,875,973,546,073,884,513,954,824,
381,012,618,583,284,843,836,753,850,215,880,100,617,458,519,011,915,172,319,
469,639,218,282,974,202,858,292,768,275,096,958,234,406,928,946,613,640,326,
536,771,105,662,532,645,761,353,490,851,079,729,905,209,158,709,887,608,927,
768,747,840,847,023,086,753,465,225,449,475,145,566,039,560,192,194,382,870,
497,853,275,636,119,367,151,144,127,446,873,408,550,811,282,939,648,485,953,
384,128,603,542,175,050,813,038,318,669,839,394,859,634,088,730,060,896,198,
110,143,959,455,516,832,352,582,101,657,314,610,437,736,363,229,767,714,938,
725,521,783,655,412,407,702,526,328,148,220,682,529,776,640,716,173,369,355,
324,809,562,017,781,809,843,487,240,979,878,317,659,462,179,592,992,432,325,
287,037,706,373,277,959,894,135,794,100,946,615,523,970,210,289,813,312,026,
432,935,102,152,873,215,199,733,497,453,779,106,145,403,876,387,889,449,934,
968,772,793,901,622,338,698,526,521,503,288,981,912,295,901,564,678,339,480,
771,521,071,086,418,530,385,671,611,175,501,287,374,216,467,454,386,441,300,
288,948,965,384,941,649,633,789,127,226,443,660,690,840,168,855,571,470,570,
459,931,565,589,141,466,578,208,017,802,226,128,272,497,478,919,998,644,815,
237,080,526,649,902,268,306,829,580,419,544,271,053,877,458,061,980,783,952,
986,540,486,307,461,260,838,420,796,190,364,459,771,575,826,835,968,580,717,
402,047,856,736,432,735,343,216,869,812,709,106,750,002,722,226,966,069,123,
988,125,106,284,408,950,013,543,062,104,756,063,722,013,252,011,672,454,916,
799,278,954,270,087,467,586,550,853,755,584,221,226,218,901,065,075,174,445,
382,808,221,343,037,570,294,414,015,696,142,479,081,662,179,613,182,210,854,
901,187,520,872,762,640,071,345,436,325,917,216,382,845,992,736,651,336,530,
923,850,591,963,113,643,700,582,324,670,581,666,616,923,106,909,683,960,845,
715,187,221,752,088,528,022,103,191,108,805,094,935,661,589,893,434,702,778,
114,659,645,693,202,296,675,991,241,784,985,132,379,076,836,851,962,760,412,
527,615,396,911,416,338,207,539,086,264,341,268,587,107,445,448,918,240,104,
981,569,620,443,229,716,330,849,415,525,405,632,820,920,156,906,300,775,568,
869,422,741,901,052,225,425,273,503,481,308,638,094,207,678,274,394,782,499,
112,643,405,489,681,108,259,446,062,470,334,497,685,123,644,702,289,720,301,
228,561,826,336,829,544,173,918,740,171,562,282,185,617,149,029,311,744,318,
858,035,762,957,730,326,092,482,186,189,647,279,354,370,504,510,999,782,769,
431,626,066,815,055,572,084,623,249,244,229,117,137,466,372,130,580,062,539,
792,300,069,850,586,990,836,559,514,271,916,260,645,445,096,798,632,940,214,
493,435,563,366,492,135,294,775,859,713,792,346,497,627,309,882,714,518,821,
464,758,615,081,730,428,412,867,096,496,190,730,210,631,712,741,144,530,164,
450,055,036,932,294,529,919,940,512,635,103,419,097,059,276,752,224,229,932,
751,258,111,747,344,655,687,243,016,894,338,301,261,495,512,885,327,465,561,
726,725,866,667,551,561,258,072,657,104,722,866,308,595,632,613,431,752,626,
496,124,909,121,793,850,534,084,551,847,096,128,649,403,484,960,074,066,609,
995,237,367,236,372,818,940,743,168,659,317,784,807,162,670,894,372,162,904,
617,561,372,414,057,631,000,236,839,707,541,039,429,471,639,988,948,286,345,
215,952,294,206,765,700,251,539,805,333,662,181,240,007,808,452,851,828,358,
135,607,484,286,556,649,956,000,556,963,332,283,150,338,687,672,014,641,843,
861,853,818,144,785,489,762,243,896,027,126,428,667,694,937,734,897,141,293,
458,096,873,522,409,855,766,358,286,421,554,716,495,730,998,156,326,061,210,
393,863,333,048,233,699,842,122,093,798,008,923,994,981,207,436,417,290,423,
970,031,662,161,989,815,478,628,044,731,552,536,332,568,226,294,967,161,518,
474,943,273,923,574,352,841,999,741,943,796,575,779,321,818,081,234,136,293,
101,725,675,548,495,132,188,452,708,303,499,271,430,974,167,176,471,038,190,
177,904,294,724,709,207,014,390,737,952,216,947,481,120,244,836,145,127,627,
284,849,791,973,497,063,227,012,863,444,905,893,369,548,387,993,071,552,719,
087,111,179,554,991,774,025,669,961,450,775,166,086,039,886,933,800,938,650,
333,265,962,314,571,571,657,837,147,283,132,049,432,181,030,467,242,976,174,
309,839,563,267,346,187,362,340,414,006,074,894,901,646,829,816,208,615,369,
331,295,211,738,078,813,331,626,220,155,797,242,273,066,907,167,065,758,779,
134,246,623,333,682,645,694,011,758,799,651,241,210,523,056,973,546,094,272,
494,749,669,534,647,995,878,726,213,204,657,895,669,794,284,315,150,150,729,
913,152,334,068,269,032,214,704,176,105,758,442,444,578,145,737,256,406,244,
411,476,084,394,293,814,618,859,206,952,062,981,101,184,062,834,242,482,509,
759,647,565,051,536,208,955,847,087,620,441,892,394,775,158,078,643,816,867,
504,937,442,535,636,459,410,035,597,862,717,147,812,418,396,878,544,528,010,
036,261,985,250,028,376,463,662,001,396,965,847,185,346,578,973,050,543,691,
091,836,594,854,702,530,349,406,053,089,981,605,237,225,086,776,796,064,229,
318,687,064,965,370,788,661,063,995,507,166,801,021,759,044,334,193,675,946,
014,198,300,563,313,821,820,432,139,638,490,252,895,587,349,793,560,179,712,
304,315,844,850,990,217,696,357,461,446,660,236,703,164,481,670,683,164,356,
123,504,321,107,845,003,251,913,568,600,840,111,044,534,124,910,571,418,118,
066,417,816,766,430,837,209,651,702,284,369,404,395,204,463,521,356,025,548,
412,739,810,593,413,888,775,069,453,790,998,188,746,944,464,029,351,091,334,
521,005,070,123,657,627,592,253,768,067,194,254,289,675,656,415,189,595,159,
462,187,122,706,703,817,597,521,306,145,698,379,571,975,889,072,852,389,728,
893,956,750,442,742,144,637,449,575,764,185,973,428,676,176,261,168,611,372,
751,933,577,326,819,048,900,451,887,026,173,105,035,309,264,758,599,427,766,
489,398,272,389,706,542,142,452,869,733,700,474,890,356,483,955,644,879,911,
945,875,862,596,384,657,901,097,619,275,067,734,651,450,103,491,673,777,891,
292,447,541,318,647,158,994,408,416,627,210,430,703,252,128,835,193,787,154,
858,799,024,819,238,452,883,063,208,131,530,630,249,380,911,000,142,925,069,
301,739,972,555,975,438,623,174,646,649,847,843,754,364,498,004,575,495,997,
636,564,870,064,723,616,103,000,483,770,798,872,891,384,921,582,216,519,639,
417,690,327,119,922,760,875,514,000,287,109,246,169,596,169,021,253,907,895,
094,830,987,762,257,357,598,061,409,052,925,400,781,081,614,625,524,945,065,
287,879,466,398,004,244,519,829,805,044,296,690,582,755,044,064,828,126,002,
177,164,053,395,481,319,138,057,499,210,180,361,702,212,864,669,928,626,171,
526,104,505,883,747,452,248,940,883,818,264,143,771,241,274,563,060,981,525,
653,157,053,997,714,968,697,516,230,469,307,423,314,094,464,152,882,689,062,
092,209,967,255,532,197,380,590,928,599,231,394,877,730,851,216,198,445,725,
886,859,545,331,621,878,353,111,994,884,030,974,564,986,279,846,014,549,273,
988,298,076,947,095,152,739,500,040,069,276,964,213,811,105,090,579,430,476,
908,065,682,567,038,507,776,999,065,910,419,539,039,829,214,390,432,850,659,
493,425,581,390,042,950,107,032,695,486,096,364,951,685,699,120,928,530,648,
857,139,208,133,386,394,731,467,410,161,767,204,037,191,420,768,358,428,306,
163,920,441,284,832,956,863,464,298,063,794,805,640,356,460,545,784,163,871,
452,389,736,604,468,394,810,552,404,059,810,283,793,764,710,143,500,301,322,
376,947,248,223,770,886,386,451,863,430,996,109,748,852,347,200,597,871,832,
528,226,472,371,335,794,488,919,628,485,768,147,629,707,290,627,992,951,504,
013,710,130,657,951,619,660,294,391,541,786,422,906,741,204,300,678,640,209,
863,366,890,244,031,021,798,737,163,975,796,554,299,812,543,079,941,895,735,
172,764,849,262,251,944,713,051,106,502,934,571,099,910,703,315,837,419,946,
965,873,407,982,563,093,806,427,189,921,457,240,579,336,334,741,708,989,450,
742,829,350,881,983,745,422,655,806,734,445,064,080,354,259,689,617,884,841,
263,548,003,231,025,179,312,954,257,709,229,971,263,587,238,406,333,490,972,
694,588,831,460,555,035,500,301,147,186,252,778,810,909,160,091,570,335,727,
947,327,682,211,320,052,030,237,321,120,600,017,182,637,691,475,484,947,223,
554,097,873,102,350,096,841,708,978,955,959,716,917,858,524,104,014,482,127,
670,583,758,586,256,973,885,552,829,448,961,435,592,944,508,285,694,201,851,
816,111,103,298,531,489,429,090,840,898,034,321,882,460,436,435,062,077,908,
670,924,860,713,048,341,599,930,999,441,094,789,816,538,057,016,194,708,044,
317,637,920,482,996,815,529,374,858,961,043,312,786,115,260,963,639,690,359,
175,600,563,146,083,711,624,969,730,990,765,052,827,627,201,801,368,556,613,
474,577,009,357,750,511,441,419,412,278,164,424,124,627,339,361,943,870,361,
281,753,167,485,455,694,850,828,356,408,360,158,975,632,311,395,018,221,600,
337,102,338,861,863,084,784,303,406,334,104,099,523,639,621,280,248,115,290,
608,750,279,540,315,907,752,356,272,449,750,444,172,783,228,896,103,680,676,
852,563,425,526,038,433,493,234,357,265,969,687,727,530,329,657,640,940,139,
001,055,997,033,666,627,683,451,880,797,488,810,417,576,661,411,721,854,814,
359,644,131,599,502,046,971,190,770,671,676,525,029,035,162,529,368,778,597,
315,862,304,301,074,354,993,437,575,233,612,050,753,489,656,321,133,097,779,
771,124,935,260,324,802,581,918,174,198,628,181,086,386,313,603,274,759,594,
832,395,372,651,566,998,425,530,833,178,027,292,981,015,440,772,344,092,462,
175,806,971,157,548,156,073,697,720,728,176,297,354,293,041,900,096,398,707,
763,430,799,250,253,882,638,167,364,937,786,359,067,015,345,323,596,863,144,
137,122,530,742,037,572,919,587,262,861,205,912,992,749,111,995,134,285,763,
911,699,372,406,601,797,113,616,718,144,337,917,977,265,647,589,133,526,380,
814,793,605,666,229,652,124,551,806,394,240,559,131,265,228,729,016,768,788,
363,642,595,116,716,099,656,122,059,965,229,819,933,156,067,357,727,844,859,
657,197,157,007,085,125,812,132,922,452,734,515,403,597,106,311,671,391,172,
031,043,364,965,242,449,278,385,310,753,814,278,102,368,007,307,126,311,013,
987,102,195,247,805,861,857,851,551,290,189,290,767,002,922,351,626,764,283,
615,699,979,429,541,923,430,016,848,211,237,052,812,081,600,696,853,097,956,
793,900,852,391,844,831,110,728,386,589,742,255,203,540,415,761,449,216,111,
599,777,236,264,364,932,466,248,862,306,875,008,479,583,431,231,406,949,568,
899,397,262,143,231,949,916,782,264,049,014,758,349,932,354,609,555,215,065,
889,226,985,340,065,347,774,524,338,127,535,138,509,848,228,221,195,664,820,
646,821,508,830,270,640,876,126,776,604,616,198,396,113,066,081,975,693,393,
862,197,704,698,009,949,168,804,324,004,577,537,425,046,256,326,273,267,400,
854,922,116,787,871,302,326,115,968,142,948,358,013,886,184,392,349,879,867,
816,298,326,086,494,519,141,939,918,591,142,525,238,368,268,926,374,515,141,
994,123,303,680,133,444,205,349,026,433,300,247,159,523,077,741,378,925,287,
838,110,209,681,088,713,593,702,294,039,877,491,069,877,073,936,558,473,805,
115,856,374,761,033,708,980,820,908,613,604,976,311,750,162,735,147,271,309,
195,178,903,425,562,261,713,769,209,349,386,435,211,670,260,529,529,691,800,
564,443,073,284,721,856,390,872,295,898,305,210,632,692,075,259,344,741,651,
267,659,056,283,483,549,038,106,256,776,555,630,746,712,647,480,222,754,772,
128,881,810,093,522,768,849,511,893,373,485,903,926,007,611,330,353,933,837,
772,400,480,476,793,963,792,169,144,448,182,379,224,619,922,375,151,708,990,
622,477,833,130,847,033,284,714,090,621,786,553,765,909,036,303,201,583,679,
198,597,513,957,368,359,481,764,417,847,526,321,924,181,534,134,798,386,014,
349,642,851,513,744,042,623,883,299,673,955,454,073,836,945,289,409,503,226,
693,106,655,819,527,188,373,950,453,615,565,438,485,054,998,330,410,303,895,
860,654,524,012,944,715,498,636,312,568,819,484,877,473,682,164,823,160,279,
370,780,127,739,304,443,409,408,500,029,514,380,765,086,204,544,839,141,362,
394,633,147,453,029,473,294,271,139,398,077,058,040,083,030,719,141,261,138,
140,573,927,896,310,619,975,602,429,299,759,688,680,547,603,574,346,518,641,
265,068,488,217,278,254,954,393,884,175,604,716,598,703,709,155,152,987,881,
912,024,908,466,470,546,062,457,048,027,158,239,746,055,705,998,764,615,078,
500,509,010,363,410,508,032,947,450,744,430,534,347,769,549,094,993,566,974,
208,273,310,648,016,751,740,019,577,376,254,777,243,489,714,339,745,896,597,
793,820,047,970,307,492,554,534,156,673,994,297,889,420,929,780,203,983,546,
846,846,144,629,094,619,071,580,843,979,452,083,709,618,492,483,874,803,748,
301,245,295,733,983,573,176,201,672,719,915,983,225,339,560,426,023,533,851,
024,803,909,612,958,300,189,694,879,273,943,606,619,281,506,392,482,597,777,
493,119,253,700,992,979,921,980,161,517,465,046,209,742,771,566,102,447,140,
502,161,642,600,229,089,145,053,493,429,866,296,349,713,692,976,833,946,235,
019,003,803,185,886,318,161,896,524,074,494,194,520,045,771,916,081,413,562,
293,632,968,736,096,090,651,292,630,411,274,939,855,060,835,304,321,375,870,
595,695,133,707,500,136,157,876,025,655,218,274,057,368,463,946,752,880,951,
817,922,437,952,379,395,779,109,999,634,535,187,830,226,386,035,279,836,631,
952,879,637,103,467,339,966,936,466,029,610,958,741,258,343,558,622,166,435,
423,408,312,746,333,992,142,467,820,448,188,290,915,688,742,712,607,193,518,
891,273,318,424,029,763,258,910,079,457,557,619,690,546,585,924,953,933,532,
734,167,526,087,294,498,175,864,251,621,599,613,535,555,776,614,289,051,261,
972,608,664,128,214,070,577,195,386,260,905,016,356,668,225,578,782,594,671,
802,792,751,388,327,546,195,784,567,930,634,579,531,857,746,099,730,218,151,
888,888,967,196,669,838,796,670,278,668,469,329,577,742,885,009,108,589,605,
925,776,550,516,746,252,166,888,515,792,079,425,777,711,598,832,792,272,695,
293,353,600,363,692,724,962,805,131,319,855,239,455,765,552,122,386,485,961,
679,688,725,694,896,079,011,719,344,473,853,442,602,590,093,229,086,425,750,
974,173,609,249,804,397,294,171,404,253,221,260,209,082,210,012,439,081,056,
602,869,586,457,722,029,700,118,710,829,777,770,175,011,572,292,466,508,807,
037,830,040,302,367,965,916,643,069,316,780,203,643,474,259,524,124,904,214,
795,674,836,750,078,977,351,374,411,386,567,112,782,288,966,634,340,883,783,
881,213,693,562,283,120,799,396,163,714,694,814,693,318,488,061,615,138,667,
955,199,313,124,435,310,803,555,832,016,800,321,718,807,513,530,941,213,225,
989,082,568,097,452,760,955,756,152,974,175,155,173,105,870,411,326,366,125,
938,160,866,843,708,297,740,185,759,960,521,980,264,410,296,625,769,707,024,
146,983,477,097,874,223,966,713,771,036,243,939,577,457,354,940,794,356,384,
254,305,033,449,106,960,921,501,400,684,605,195,894,266,341,347,828,745,755,
782,126,209,574,105,938,983,941,911,673,604,646,430,783,985,050,031,247,824,
014,809,771,598,565,299,485,180,589,611,923,459,385,512,255,284,173,626,291,
006,052,877,840,730,932,584,521,799,330,883,187,806,809,196,380,054,816,374,
059,133,203,806,276,633,923,968,340,980,982,047,137,574,377,232,434,945,670,
459,537,843,442,978,877,053,027,121,793,339,238,594,228,470,820,030,579,097,
407,668,328,437,390,741,236,762,680,861,951,808,637,439,841,619,622,069,040,
226,847,218,364,580,426,056,077,077,108,118,730,104,890,174,404,636,091,265,
706,173,797,515,866,271,328,583,748,931,913,716,591,518,373,418,362,013,307,
380,498,219,396,977,171,597,464,645,020,997,301,905,316,696,011,667,899,023,
936,946,708,607,841,755,402,822,841,068,298,234,614,597,663,186,859,239,921,
757,118,597,744,920,778,209,555,734,588,639,705,992,201,743,995,566,359,922,
723,563,106,674,007,668,318,205,080,999,504,573,187,429,208,806,339,729,116,
899,493,657,593,451,165,349,487,258,767,612,943,444,423,518,431,931,065,667,
095,447,866,650,605,439,841,599,064,407,110,108,807,854,142,391,555,989,470,
747,556,250,396,174,327,503,935,710,061,201,877,655,203,252,393,990,302,519,
036,328,487,731,594,672,133,654,557,222,843,211,990,567,178,807,599,491,744,
348,693,290,753,362,988,332,947,049,264,969,899,226,394,476,442,427,124,656,
513,237,122,723,942,100,597,919,779,263,902,518,525,636,461,718,619,265,899,
855,399,837,238,641,636,249,251,514,783,891,938,427,247,556,935,237,337,973,
574,772,658,503,211,958,980,310,198,642,853,614,441,469,223,894,308,725,911,
304,987,274,554,610,470,517,627,815,170,685,995,190,492,325,805,398,455,709,
823,047,264,540,365,773,099,695,513,589,538,472,233,286,119,274,355,649,356,
907,605,110,209,110,984,582,615,168,083,320,287,059,670,707,487,682,512,792,
578,639,870,193,187,062,222,398,518,821,699,165,585,730,345,002,607,203,540,
171,369,270,787,441,712,963,793,029,955,538,506,876,199,593,693,111,391,614,
138,464,011,493,292,568,983,738,781,293,222,528,840,211,945,095,282,214,383,
603,678,549,752,732,451,499,002,249,199,022,125,445,491,540,449,750,385,874,
313,006,219,171,713,575,062,827,774,666,092,450,309,273,203,021,467,445,400,
686,952,233,109,707,105,178,991,222,019,790,859,794,672,599,064,255,641,308,
315,839,916,085,262,667,985,623,712,912,409,962,807,446,798,495,628,905,752,
134,715,970,001,674,161,407,865,797,369,352,656,418,025,346,950,125,922,703,
599,237,166,189,300,861,134,853,205,624,767,155,891,955,546,204,970,251,249,
537,929,606,281,503,741,853,595,327,240,832,926,544,475,277,051,345,113,515,
016,198,294,223,239,028,226,481,697,496,864,024,126,910,363,344,815,982,040,
629,379,753,216,731,133,514,254,180,566,927,867,911,930,981,384,955,688,980,
272,240,265,934,656,376,540,407,076,845,950,855,814,822,204,209,030,517,016,
087,093,258,172,612,814,188,857,841,934,751,974,958,958,373,384,299,328,433,
386,721,854,366,054,527,597,006,442,732,120,684,973,276,354,753,171,028,664,
715,299,999,125,684,720,064,477,840,486,493,570,757,994,461,919,260,166,254,
622,100,211,471,223,783,431,581,749,319,786,909,396,370,798,900,799,347,841,
301,249,215,682,051,807,000,822,025,248,201,107,609,287,804,047,375,395,933,
881,746,714,996,576,327,035,748,964,228,062,163,209,726,388,475,648,471,039,
875,891,336,552,186,099,859,764,901,227,965,495,845,453,432,575,613,481,097,
141,185,947,940,899,351,835,711,826,819,287,005,993,841,071,189,094,487,088,
299,788,635,344,252,755,683,981,072,127,147,349,086,114,111,508,582,476,409,
317,776,957,182,136,517,937,527,550,360,319,025,617,502,417,155,822,473,760,
294,084,206,443,787,707,929,701,669,589,685,343,029,083,318,824,785,383,081,
117,330,061,322,647,251,313,299,585,014,626,928,598,707,634,742,721,505,671,
719,487,467,557,626,375,247,212,905,763,582,831,855,303,334,884,471,549,062,
049,248,828,360,955,405,527,852,938,644,459,074,613,252,571,619,814,165,535,
853,555,351,409,937,425,339,579,201,910,424,611,435,918,754,127,599,504,027,
632,003,389,412,411,696,835,853,936,547,291,872,231,143,380,048,280,887,012,
041,585,632,527,831,911,372,758,243,616,270,112,789,137,488,465,293,600,025,
727,471,340,896,729,595,534,228,471,684,262,348,238,467,151,796,386,603,174,
543,538,881,977,582,535,985,868,166,817,379,282,541,973,376,893,969,260,557,
078,759,486,488,758,409,494,947,903,841,632,531,092,430,792,409,849,533,447,
512,666,958,324,380,018,019,057,507,578,799,785,325,825,199,309,489,865,961,
545,732,012,966,430,055,307,654,817,104,167,804,514,600,000,545,694,419,584,
726,669,570,231,369,600,571,555,039,486,207,916,227,346,582,251,416,106,359,
860,896,936,514,967,667,514,800,989,322,541,713,951,464,242,646,103,904,063,
081,636,730,847,533,459,931,584,430,827,314,111,797,260,285,880,459,136,584,
073,846,914,275,954,188,435,602,562,984,126,969,706,421,832,761,859,702,406,
415,822,266,782,987,215,973,830,504,134,043,837,068,626,481,798,089,234,981,
608,793,587,291,919,653,280,815,000,517,620,630,864,910,298,530,629,581,232,
908,898,112,974,192,938,878,890,771,307,004,272,893,475,360,783,724,761,929,
334,754,518,519,226,936,618,718,756,224,895,832,675,537,305,505,457,534,278,
852,238,215,833,435,580,067,387,106,530,374,189,788,868,698,245,496,285,560,
064,887,165,912,905,697,711,875,739,107,976,265,299,813,196,164,610,250,921,
142,118,084,089,683,671,633,389,883,028,252,673,308,353,614,065,626,973,318,
402,103,808,857,053,370,383,875,399,020,703,981,064,104,873,211,014,358,926,
303,646,800,584,350,188,629,340,124,278,525,845,761,013,775,838,824,691,588,
400,298,355,088,695,406,420,030,718,499,826,379,021,335,331,551,062,769,967,
170,805,750,364,689,525,457,407,586,269,790,939,281,372,132,073,046,140,422,
867,693,554,567,232,612,006,381,616,205,803,049,695,979,569,020,792,341,254,
930,380,820,397,369,964,577,961,689,084,765,841,158,589,533,136,457,546,236,
123,053,877,057,229,751,418,929,588,432,971,816,857,268,479,268,238,915,374,
188,657,364,102,275,309,911,559,774,898,978,057,337,382,774,435,821,187,245,
300,392,696,618,555,721,586,241,850,548,245,627,415,153,062,051,671,261,764,
561,989,496,882,116,055,656,678,047,840,552,214,933,305,844,134,263,479,451,
734,714,742,118,625,724,919,832,100,668,676,659,915,846,336,132,601,497,571,
509,721,991,139,440,625,052,889,024,211,740,518,076,100,644,057,172,784,697,
677,759,387,550,804,437,139,914,691,490,777,558,232,112,727,597,609,922,651,
581,778,608,370,092,822,561,375,408,344,019,880,984,300,357,274,808,926,892,
657,242,384,835,926,991,006,558,985,382,144,771,496,094,555,556,560,887,553,
609,130,807,134,020,498,952,607,259,636,342,523,597,905,785,983,305,502,656,
771,860,499,379,756,823,762,079,482,852,905,648,858,078,422,466,692,204,296,
906,339,224,884,411,617,719,485,890,636,358,427,039,856,224,033,309,191,241,
535,605,142,511,607,603,069,585,042,032,718,558,074,950,788,406,884,831,371,
839,514,193,748,331,194,872,479,593,069,962,853,849,084,068,422,417,881,549,
296,353,798,163,873,491,650,554,978,839,421,600,976,691,235,543,343,295,316,
667,097,838,352,107,965,534,914,754,279,758,504,488,173,004,154,792,540,354,
381,795,125,066,129,693,315,625,027,982,155,033,321,285,328,437,889,597,952,
368,542,155,881,827,900,453,103,948,540,630,820,416,637,573,444,527,087,614,
363,924,973,856,590,777,117,323,024,282,310,863,258,100,324,619,693,230,619,
404,584,097,418,354,570,611,826,091,136,108,359,927,065,230,914,937,850,995,
503,336,785,450,358,194,041,569,226,318,430,815,259,209,648,165,956,213,058,
737,120,142,103,015,347,034,038,385,385,090,398,543,296,595,499,540,553,786,
561,621,545,836,668,834,687,203,742,240,023,088,040,592,046,468,483,966,856,
061,482,032,261,676,936,991,086,149,282,988,445,931,285,715,129,418,669,227,
434,013,390,773,347,891,792,661,428,172,719,981,143,541,411,283,485,913,363,
864,274,023,141,169,041,091,211,265,639,148,656,233,822,506,401,912,029,523,
498,478,732,917,807,746,456,066,148,554,267,008,278,182,833,652,492,014,909,
374,456,916,538,127,296,885,101,203,444,330,267,769,181,442,145,805,168,410,
254,942,216,252,026,359,937,293,179,679,080,302,076,472,041,628,399,281,550,
296,929,913,114,120,565,696,099,673,470,466,678,208,150,203,776,018,169,170,
923,923,374,629,868,765,003,615,506,519,428,181,787,839,062,452,432,460,911,
846,276,669,552,513,801,353,632,446,918,407,098,055,998,357,219,212,170,784,
906,290,930,307,606,328,683,472,407,096,516,785,050,274,034,837,596,529,617,
469,632,317,701,958,076,490,780,443,936,345,264,160,491,360,969,368,961,618,
728,159,440,762,199,718,344,691,152,985,628,921,017,023,323,865,362,354,566,
612,106,024,056,454,508,824,552,545,676,907,746,296,579,690,514,242,955,363,
847,679,441,402,987,032,574,315,582,061,173,082,564,441,017,174,427,878,044,
233,360,790,469,336,645,669,566,010,702,585,059,904,210,397,413,146,167,817,
767,354,694,807,293,759,476,296,521,099,490,381,695,252,757,278,062,493,503,
433,981,340,507,418,901,372,230,637,523,936,703,397,594,794,761,396,123,530,
615,345,299,704,945,589,592,840,141,413,346,236,887,669,229,682,550,541,863,
722,691,867,152,787,711,503,619,234,266,168,933,669,961,152,907,699,266,345,
427,502,006,873,543,778,207,583,725,946,156,748,948,025,118,921,967,400,793,
679,571,698,079,872,822,209,788,968,162,733,314,753,404,421,482,893,715,800,
413,450,096,946,810,410,648,656,890,881,247,503,749,691,598,944,201,287,693,
910,346,490,562,759,874,177,514,251,839,940,173,307,358,660,353,864,361,988,
633,506,447,428,351,273,100,498,051,083,713,166,948,879,694,699,660,725,038,
220,069,008,431,165,761,673,360,561,326,712,873,695,098,795,151,536,818,480,
069,354,938,615,010,175,466,931,923,298,646,799,173,312,991,522,417,252,412,
527,274,531,367,184,673,779,634,209,159,886,045,380,732,940,607,861,711,939,
064,476,247,473,440,920,458,916,144,423,167,676,369,341,597,972,040,557,843,
313,900,773,253,513,463,716,242,545,945,803,746,415,789,899,652,124,172,061,
422,482,939,640,469,836,641,123,859,713,068,578,218,924,065,215,480,352,591,
717,438,884,346,498,478,859,345,105,482,913,277,809,035,961,057,500,468,909,
698,292,213,028,383,979,032,674,399,173,509,148,415,428,976,457,866,437,033,
477,342,814,040,807,045,060,455,715,274,554,776,080,403,834,651,727,962,301,
408,351,526,213,841,586,717,898,125,102,758,429,921,823,000,234,199,332,219,
909,843,760,940,391,683,475,731,494,065,193,285,384,680,956,108,901,799,223,
242,259,705,953,430,952,130,895,392,154,431,795,598,755,246,986,396,373,456,
201,333,231,611,582,586,327,769,475,968,874,735,441,604,340,024,569,305,440,
521,673,918,254,508,260,290,959,692,642,782,638,698,283,761,019,021,015,458,
789,895,034,164,307,916,334,353,339,532,573,331,681,116,569,810,216,979,612,
034,252,061,414,342,248,341,755,090,587,791,583,444,758,571,632,858,803,993,
347,029,545,998,041,969,918,261,589,642,912,450,387,305,415,711,694,466,538,
997,316,245,619,659,135,863,122,792,068,540,678,727,513,450,548,296,530,791,
020,717,186,217,472,374,648,127,314,849,671,829,917,466,688,020,173,429,642,
590,843,907,150,128,150,371,696,167,136,442,676,309,727,942,774,233,356,088,
294,957,040,833,306,653,780,544,655,707,086,230,424,536,759,562,704,464,137,
149,880,185,315,224,122,876,272,318,267,537,622,234,707,996,718,486,035,067,
695,469,929,150,128,755,193,785,161,857,272,268,932,446,080,772,279,990,650,
229,752,757,048,539,514,608,106,163,665,579,902,819,368,352,031,370,543,672,
076,797,846,760,635,315,730,964,164,050,381,858,723,580,076,373,524,586,461,
546,107,744,836,287,113,506,135,279,987,344,279,596,900,609,238,269,374,193,
125,573,291,790,314,924,187,646,808,198,712,547,786,195,112,661,894,018,746,
762,166,717,983,615,958,952,445,073,674,030,370,780,250,386,996,969,496,952,
917,725,060,432,638,821,101,946,924,226,500,785,096,747,089,092,970,437,371,
390,993,977,378,329,922,931,383,210,868,689,179,328,648,095,130,628,067,673,
768,904,108,238,036,221,256,459,349,033,684,871,187,151,727,880,421,477,714,
908,674,227,857,453,154,335,112,362,948,257,937,661,812,140,090,583,223,259,
479,716,070,883,826,277,707,657,513,236,732,150,114,765,053,991,140,345,062,
438,475,128,684,450,511,510,807,142,684,460,543,984,166,864,193,108,559,365,
863,431,778,725,058,467,016,834,982,006,029,988,703,740,899,389,342,814,272,
334,202,031,773,394,501,923,267,008,194,036,598,724,853,724,235,050,090,928,
694,589,774,943,836,178,808,431,578,229,358,930,806,131,275,452,211,914,059,
786,378,190,589,678,202,227,785,570,827,536,892,985,844,185,807,936,443,048,
565,655,918,858,316,032,685,112,525,993,127,361,001,253,243,100,809,315,832,
751,254,001,374,903,959,919,326,562,248,072,539,028,672,871,897,094,984,754,
069,503,829,315,263,729,183,803,991,076,347,112,781,014,400,048,785,923,965,
497,807,873,861,585,473,938,310,187,926,924,642,262,505,157,005,519,803,454,
644,015,712,310,233,392,879,389,321,411,213,535,373,998,492,880,201,008,823,
939,836,851,222,613,493,513,689,776,743,273,811,507,847,690,353,320,727,569,
761,980,741,804,496,168,768,006,692,480,111,163,111,999,165,588,118,772,695,
993,281,808,329,822,505,702,960,846,338,468,614,946,743,996,409,404,166,593,
321,061,567,477,833,812,633,257,948,420,819,390,023,338,781,320,180,452,350,
410,257,308,511,372,615,955,250,168,922,097,688,243,362,524,741,146,923,246,
308,358,613,654,183,991,423,147,986,646,586,925,706,838,638,820,102,367,043,
504,491,145,487,284,274,632,955,890,664,559,539,833,232,499,915,130,128,424,
139,704,186,297,433,478,814,226,210,858,205,054,001,321,794,198,379,321,495,
714,843,305,966,599,135,519,230,833,477,825,541,464,813,729,764,332,008,368,
391,119,972,718,346,789,622,322,184,075,562,521,615,511,193,438,558,691,716,
962,654,608,336,063,848,480,498,516,955,511,420,055,629,881,420,434,952,820,
025,951,743,590,672,638,326,583,141,148,948,985,103,490,005,482,579,058,014,
639,180,860,398,362,316,268,910,039,699,299,706,545,802,135,433,184,497,090,
332,747,872,260,005,670,627,784,753,679,097,999,298,800,084,151,857,000,063,
653,357,589,395,609,157,928,904,150,152,481,592,762,146,072,571,852,744,034,
376,307,759,757,217,914,148,743,822,823,297,977,585,719,728,881,300,432,968,
128,132,923,755,855,376,944,675,695,025,885,833,981,259,305,342,873,498,569,
374,503,847,548,427,954,946,231,333,549,613,446,901,514,012,303,430,450,894,
334,388,469,294,728,733,874,868,676,632,045,484,030,914,061,689,663,606,228,
982,473,775,412,996,613,642,867,466,029,226,965,439,667,889,328,352,289,747,
791,546,022,367,444,133,792,232,737,423,183,355,275,161,061,948,532,395,377,
240,948,532,610,080,931,056,463,474,590,656,569,628,518,994,289,559,523,018,
707,920,213,845,613,199,317,048,465,033,227,354,734,654,675,800,332,150,426,
674,696,005,048,996,266,039,882,857,661,764,062,168,516,167,639,778,091,119,
999,652,246,542,342,521,819,016,994,657,672,867,747,735,726,705,654,569,401,
877,457,527,440,195,189,158,919,209,311,057,308,292,102,784,784,851,408,235,
439,676,726,413,339,698,114,557,037,297,704,496,871,315,705,637,323,656,326,
557,254,342,912,177,497,265,659,386,703,165,865,195,585,811,404,686,027,922,
976,654,579,697,484,349,222,224,896,577,789,870,471,089,865,662,817,448,712,
914,133,820,771,928,932,088,730,406,516,666,682,244,791,476,550,676,250,976,
043,150,438,657,444,779,407,844,811,233,382,870,025,289,059,478,875,258,950,
901,330,788,810,370,390,485,316,871,821,707,167,728,874,940,938,177,480,227,
666,249,871,246,871,293,732,110,437,597,506,913,189,889,122,705,445,828,767,
895,755,088,248,258,369,194,319,573,549,625,135,389,239,596,203,116,383,238,
942,496,448,173,657,853,183,073,449,175,959,711,358,767,298,698,923,400,724,
441,739,108,752,445,973,006,415,033,691,887,959,125,135,658,381,592,291,749,
570,621,860,296,965,691,176,562,878,347,319,404,105,823,775,742,309,474,216,
003,643,436,730,142,211,866,674,722,900,555,732,467,301,052,439,716,983,610,
805,882,190,931,640,617,486,865,097,275,816,864,476,040,395,712,691,197,452,
866,266,615,616,161,794,150,599,275,986,913,372,208,843,751,504,341,104,911,
320,076,814,563,903,698,295,045,348,785,840,041,989,932,072,056,761,883,109,
994,678,233,450,573,281,515,879,835,295,525,223,850,446,027,956,769,669,582,
847,894,024,032,032,933,695,209,624,836,960,161,784,306,728,477,162,508,777,
505,211,839,000,115,707,994,089,983,076,312,842,606,677,210,793,974,717,527,
380,568,864,839,936,192,510,024,909,087,174,966,866,602,333,696,528,553,070,
813,725,641,594,235,194,662,913,334,395,214,855,008,223,983,569,622,930,022,
237,669,133,242,536,936,233,657,469,203,187,869,321,109,540,000,559,023,121,
121,403,515,877,210,005,574,116,789,493,442,392,633,976,452,547,033,706,031,
410,175,614,309,507,966,587,511,543,082,629,921,971,713,217,532,081,938,966,
722,384,565,303,194,997,804,639,128,568,963,699,990,478,301,101,169,076,494,
531,641,345,856,446,100,399,280,485,006,616,535,321,450,366,560,990,873,224,
550,473,170,136,450,887,427,347,555,435,346,993,555,328,826,105,819,519,497,
606,369,745,916,460,304,047,766,630,495,606,718,543,578,244,007,738,878,935,
545,135,624,555,453,121,052,601,789,085,466,584,408,874,107,971,042,027,882,
396,754,268,168,566,857,038,755,960,375,803,965,193,833,514,175,242,420,844,
828,902,316,840,139,825,805,781,607,921,561,097,409,304,345,018,145,778,902,
346,573,081,112,563,135,742,257,958,509,913,261,380,893,246,118,642,811,134,
175,741,938,116,403,351,391,406,157,844,028,039,893,060,017,094,976,755,683,
577,825,918,474,115,042,056,645,151,955,235,850,522,977,550,558,811,436,752,
288,917,364,031,465,854,487,792,964,286,004,181,225,307,261,410,397,419,862,
372,499,729,689,744,732,783,913,943,802,304,708,323,388,661,812,986,614,850,
504,611,935,090,208,451,605,922,182,988,605,425,143,144,553,955,883,974,714,
969,124,352,815,877,919,672,248,394,381,501,099,898,273,140,261,934,626,337,
938,982,632,988,450,523,011,370,029,290,369,844,794,629,367,202,877,787,812,
793,193,299,400,466,529,163,801,023,579,527,927,696,728,456,091,103,385,979,
825,024,290,796,031,592,855,594,171,950,497,655,376,519,195,569,884,981,122,
781,159,422,856,426,532,462,853,524,611,067,279,586,252,181,814,612,148,334,
565,539,779,769,645,789,371,350,171,285,621,688,128,823,632,820,879,317,436,
987,560,872,969,509,947,728,752,107,172,674,703,304,479,285,064,825,457,807,
173,814,794,322,940,101,006,052,423,163,214,811,857,260,517,934,162,846,497,
659,566,897,381,610,228,114,314,328,569,005,785,977,785,414,874,981,365,626,
619,575,756,774,889,661,936,898,426,245,476,195,684,317,188,908,370,237,900,
143,469,008,367,190,307,840,292,023,891,606,962,746,133,105,731,605,699,728,
482,447,270,394,098,594,428,616,191,121,804,566,774,920,508,911,217,286,982,
192,612,875,172,223,792,620,154,683,121,844,739,692,246,105,373,559,509,937,
328,675,913,018,423,856,085,896,929,854,548,410,678,170,396,863,187,345,450,
278,668,981,987,135,743,545,204,402,159,591,702,776,943,533,600,214,171,498,
671,243,507,981,079,159,242,800,790,425,121,618,246,553,300,197,449,424,863,
199,552,632,218,154,528,269,534,653,417,112,738,640,178,993,372,168,670,642,
058,244,509,853,330,490,065,434,027,223,943,953,383,737,959,939,470,106,983,
438,794,371,430,601,029,567,452,802,596,277,801,315,361,826,653,884,246,607,
956,291,613,124,280,059,815,395,627,603,781,068,133,753,687,002,179,838,328,
189,944,613,727,362,967,822,613,612,954,180,543,728,698,632,479,624,131,065,
191,639,127,356,137,094,886,964,715,915,297,177,675,635,701,223,690,437,864,
342,776,157,242,299,008,385,233,160,968,149,274,163,935,206,290,996,644,994,
453,083,175,680,226,239,493,742,987,196,425,924,835,049,026,713,738,293,086,
711,906,385,200,464,515,995,004,603,774,139,244,183,471,227,759,414,742,411,
689,591,776,484,856,150,293,600,471,142,004,646,484,240,391,092,192,929,628,
959,286,601,054,943,083,343,440,794,890,584,290,166,055,582,918,388,604,933,
390,365,086,947,616,309,299,346,790,955,311,949,700,900,856,357,724,314,668,
767,767,995,448,659,769,539,677,789,593,179,066,795,409,949,977,746,196,226,
982,765,132,147,594,695,416,926,159,071,626,065,966,280,042,227,755,512,568,
714,046,063,224,837,446,958,204,920,455,590,435,420,001,552,114,661,390,986,
768,037,255,839,540,773,940,072,227,095,670,184,775,471,049,251,503,199,803,
258,134,157,507,885,031,010,323,754,860,200,499,711,019,143,194,542,842,018,
120,115,804,844,293,543,607,698,556,415,774,868,470,658,894,258,342,968,179,
576,409,256,190,006,788,703,562,945,601,675,623,429,346,392,651,086,077,162,
491,117,615,722,817,398,264,629,931,954,238,304,137,774,042,747,645,676,256,
202,724,091,110,736,494,458,405,922,014,191,997,718,174,513,510,780,784,541,
526,829,416,230,390,331,115,174,803,974,523,964,613,938,127,568,149,067,333,
252,306,638,267,312,458,672,871,109,223,422,343,251,592,251,449,741,834,298,
327,371,171,134,174,586,494,468,063,610,060,892,099,780,088,432,842,577,348,
163,716,432,334,696,856,845,484,119,173,496,616,052,900,383,452,719,410,530,
469,319,223,609,338,689,586,868,587,776,505,683,571,613,651,708,904,032,966,
796,466,011,448,145,235,389,545,072,033,012,311,366,857,878,440,306,533,641,
443,808,406,667,613,621,706,410,440,093,139,488,625,667,276,650,173,055,277,
980,242,164,190,896,354,897,217,269,485,180,359,192,790,276,820,373,370,283,
797,555,621,614,420,160,745,820,498,364,235,543,070,724,999,600,520,029,898,
179,946,689,642,375,605,014,471,517,225,707,736,512,400,498,135,454,052,276,
521,141,018,896,455,780,869,264,603,952,554,822,973,357,510,076,819,391,865,
551,366,631,463,924,542,518,926,887,145,097,544,818,964,698,446,975,644,308,
722,739,851,928,727,192,013,515,857,878,030,253,973,994,053,467,709,690,417,
908,678,925,421,644,099,151,038,463,120,023,760,144,784,926,864,100,702,422,
225,928,056,044,968,694,758,751,207,675,301,695,574,475,588,598,946,797,165,
731,806,076,050,309,058,707,536,981,672,328,326,200,068,426,672,754,715,084,
591,706,771,976,308,785,182,757,514,180,129,809,031,132,940,526,542,916,579,
769,905,188,179,382,398,755,418,673,229,134,630,720,518,090,702,660,466,883,
481,218,778,961,917,311,363,917,784,338,738,870,942,449,777,873,214,421,737,
589,268,501,479,710,805,030,821,682,110,099,390,598,398,060,944,731,829,350,
985,867,304,145,871,282,535,791,648,502,579,602,187,599,836,015,068,819,425,
885,418,664,928,183,635,901,586,877,427,834,149,573,809,269,644,112,464,387,
814,664,206,599,337,451,451,766,281,345,518,603,405,646,996,731,021,279,764,
579,800,917,279,248,065,303,682,591,449,021,079,976,632,370,862,879,051,400,
734,048,598,122,171,376,952,801,288,275,126,729,919,124,947,041,964,088,555,
341,016,689,059,324,946,985,080,516,329,784,148,087,172,119,428,387,798,970,
655,309,216,486,380,565,002,498,532,541,679,066,381,733,703,446,142,570,880,
735,972,268,162,347,115,659,210,960,512,062,247,266,223,103,551,345,746,629,
088,518,192,694,668,750,666,984,476,470,866,488,605,044,601,056,210,129,313,
737,411,832,801,382,463,044,285,444,655,858,299,497,463,174,727,852,181,927,
621,100,003,408,881,538,772,779,362,448,798,995,484,045,533,675,976,650,979,
177,522,848,104,836,231,938,659,540,167,175,982,607,587,755,680,289,290,406,
624,658,244,223,303,981,568,714,359,549,465,106,045,878,334,076,806,373,809,
265,746,874,723,139,017,388,184,885,225,169,346,545,742,349,623,037,823,780,
003,054,020,490,923,676,786,334,242,482,685,656,657,497,755,936,102,979,764,
135,643,092,578,164,352,466,968,341,492,356,131,504,396,705,084,478,771,186,
290,697,840,889,716,812,157,724,434,476,134,382,072,394,624,739,014,234,064,
859,296,865,049,124,655,831,948,122,486,696,942,569,844,506,068,903,591,184,
027,389,244,003,099,547,885,757,526,131,938,870,104,901,523,522,612,959,725,
097,113,893,036,680,959,555,564,614,475,446,744,018,297,317,398,967,879,552,
659,740,054,188,995,001,321,617,178,081,196,434,591,550,399,766,000,207,638,
474,485,933,862,305,947,566,064,328,555,636,866,074,559,491,350,003,274,014,
421,453,091,156,929,978,272,583,905,974,749,830,445,145,163,225,069,040,844,
955,686,368,558,667,633,171,588,918,356,615,253,447,235,698,672,537,984,398,
523,374,415,722,162,594,680,308,667,609,106,081,746,326,344,724,321,081,599,
280,820,341,550,234,633,590,775,548,872,674,118,757,420,034,796,977,134,790,
415,605,957,621,069,540,540,716,434,038,974,523,515,867,064,534,450,422,460,
406,271,772,493,644,990,427,991,209,804,977,893,215,605,623,474,552,487,812,
374,294,103,155,681,027,207,011,357,818,583,462,631,305,178,466,574,413,560,
605,751,104,205,779,966,100,720,556,416,248,689,059,964,853,186,194,247,671,
043,534,402,457,180,582,690,301,185,003,733,715,676,751,731,432,879,886,240,
227,277,005,500,257,069,392,499,551,580,576,036,077,487,619,746,263,764,913,
888,317,058,830,707,958,471,308,537,332,485,334,519,282,557,209,094,548,903,
071,244,755,445,051,882,787,298,102,175,808,947,278,793,980,494,277,351,169,
354,185,632,816,056,028,245,281,428,821,258,455,716,875,493,536,965,365,583,
465,781,364,650,976,609,159,695,481,617,453,836,885,624,102,769,216,468,815,
405,820,101,223,610,902,928,054,026,824,814,576,818,035,435,524,617,908,214,
415,404,620,344,440,333,964,449,233,525,971,044,719,226,291,197,054,610,020,
826,565,128,769,537,518,798,227,833,896,163,134,164,637,958,814,768,763,292,
680,282,425,860,378,920,040,565,458,347,315,072,792,658,654,664,293,825,130,
679,168,839,252,631,166,891,617,334,592,750,832,449,631,032,877,538,671,781,
483,472,436,018,889,864,483,636,902,348,306,208,457,592,880,603,525,972,634,
454,538,821,485,947,169,982,934,563,494,640,591,065,076,681,553,786,981,049,
777,818,202,348,487,806,593,341,952,469,673,868,906,342,342,018,600,423,747,
860,807,515,158,016,767,991,447,173,988,612,458,877,959,337,269,234,907,078,
948,682,519,495,378,631,406,557,876,489,342,970,352,551,580,490,659,528,326,
251,852,942,828,582,419,918,303,113,981,539,939,567,887,222,064,496,896,922,
594,059,829,834,555,227,492,477,302,115,785,752,704,680,765,078,187,239,434,
942,652,325,162,541,885,326,543,130,358,627,071,867,676,241,351,016,972,437,
179,460,423,155,620,266,411,204,269,913,706,778,300,527,709,426,329,891,773,
269,382,220,521,545,053,277,112,372,774,895,592,995,526,159,766,067,246,913,
137,431,166,789,291,606,486,803,584,858,658,123,846,489,022,680,919,514,634,
027,138,077,658,943,595,722,318,036,902,455,468,039,110,904,814,422,454,848,
590,544,061,417,599,972,204,200,386,038,409,727,188,324,765,561,932,932,073,
018,060,663,523,028,402,869,389,008,042,643,818,276,886,806,886,531,602,556,
211,448,928,001,703,847,922,026,249,500,195,740,523,748,400,270,375,609,709,
927,226,981,756,449,823,604,070,822,966,575,413,225,768,477,820,026,458,955,
758,996,674,522,387,069,325,739,140,069,657,315,230,811,269,484,419,701,481,
546,424,526,131,715,635,187,207,143,350,502,374,020,327,676,821,584,057,282,
915,695,610,395,645,746,635,277,052,647,675,245,929,821,800,707,346,090,006,
523,018,625,510,903,931,941,378,993,546,478,704,695,909,223,803,851,877,406,
101,399,154,080,191,119,653,689,644,553,120,690,466,438,416,938,844,434,842,
209,538,205,500,578,894,046,446,759,023,777,664,846,128,690,620,826,653,419,
319,677,766,380,285,144,237,216,285,813,945,070,874,722,537,663,908,025,916,
557,835,069,989,607,545,273,478,259,431,048,680,838,180,474,521,372,927,859,
706,269,549,715,713,936,771,222,473,716,439,793,626,215,340,650,117,458,036,
356,349,479,347,128,250,401,039,873,915,513,728,066,365,603,438,361,754,911,
193,870,887,176,018,282,582,534,656,501,582,499,029,100,081,150,935,889,595,
809,476,666,890,909,779,695,135,026,288,250,672,270,060,859,637,252,313,755,
643,616,235,300,640,779,152,408,007,378,014,857,858,716,924,460,917,663,333,
847,110,997,372,717,789,793,686,757,148,010,818,770,002,548,844,323,138,530,
150,065,175,571,630,966,900,320,449,414,493,885,544,918,849,181,652,427,543,
121,696,747,833,708,917,745,674,609,102,885,692,666,912,192,383,368,778,150,
932,539,283,433,658,900,641,308,198,362,843,597,789,992,746,808,365,138,719,
029,991,127,409,776,027,917,397,623,340,561,193,374,055,602,002,198,061,070,
544,095,280,390,496,105,682,620,042,390,507,017,172,651,651,873,919,665,315,
767,403,054,708,936,700,682,194,532,358,755,657,800,602,375,798,137,445,213,
503,828,104,628,626,767,109,574,485,152,344,002,089,352,729,717,923,620,368,
388,228,189,710,564,544,208,535,819,934,673,354,976,644,737,650,227,255,207,
117,976,445,411,503,966,849,146,394,838,868,724,132,012,577,326,403,139,632,
985,195,204,613,370,027,088,258,052,422,038,950,925,905,036,343,657,342,548,
510,061,968,490,070,676,743,551,537,127,732,026,440,938,951,576,215,955,571,
369,560,925,165,614,465,101,285,213,433,356,477,860,699,481,647,682,557,005,
350,569,993,372,263,666,570,881,560,144,483,240,226,780,975,498,151,057,694,
050,874,872,661,667,885,530,507,039,193,940,608,350,784,854,343,393,774,778,
762,758,221,509,992,266,994,391,833,754,260,413,662,561,531,451,890,140,528,
986,646,674,913,906,666,578,684,885,518,587,238,871,470,289,893,414,999,035,
887,173,099,946,330,741,476,947,174,522,963,888,061,620,736,563,159,586,771,
172,659,916,419,608,386,732,799,629,936,586,837,312,883,297,582,982,273,675,
639,529,576,433,115,280,316,647,262,023,078,033,130,286,024,372,718,429,706,
248,397,171,805,385,278,667,472,454,928,055,477,065,767,005,384,957,729,557,
108,515,287,691,902,699,825,222,664,635,863,609,821,226,483,241,444,993,838,
902,952,688,440,903,845,180,892,118,454,015,242,250,630,521,654,727,085,223,
504,429,696,776,795,772,990,394,005,812,971,100,375,942,259,601,174,441,833,
034,104,104,597,435,673,070,965,103,266,815,662,967,543,155,362,530,257,825,
645,548,119,365,401,313,348,250,901,809,806,404,406,714,847,179,077,312,176,
236,353,193,101,719,533,411,936,718,010,711,174,815,323,637,898,460,461,385,
715,517,748,304,070,263,984,396,051,095,144,094,938,406,748,670,239,534,443,
470,988,681,506,500,165,791,789,309,196,645,039,516,475,332,277,525,704,901,
033,998,492,287,925,743,280,036,632,586,298,724,937,851,708,352,010,355,950,
160,404,240,765,086,934,192,085,216,230,731,352,776,308,177,697,174,548,944,
465,339,103,510,787,345,450,244,530,868,280,756,832,344,530,341,828,484,256,
644,412,447,049,078,074,073,366,519,481,146,614,491,026,891,483,565,809,755,
836,166,132,174,223,608,452,946,523,874,027,963,740,056,059,940,860,763,449,
522,875,227,365,289,756,428,340,784,638,859,752,607,920,102,577,423,993,202,
123,949,284,686,162,213,894,830,545,919,401,300,837,180,393,806,979,730,380,
942,017,429,755,211,543,744,434,398,759,798,712,743,355,687,939,732,299,657,
554,886,277,994,138,471,378,151,150,731,355,832,624,638,655,547,948,054,936,
250,033,073,945,379,907,104,687,869,772,185,026,258,533,764,499,676,287,530,
550,518,407,388,569,799,663,805,227,570,072,573,870,650,417,627,005,453,224,
522,796,745,272,292,532,908,003,086,320,193,693,115,131,562,788,869,060,683,
294,531,234,930,746,650,578,206,355,842,505,055,524,483,524,349,228,032,916,
766,475,529,574,328,786,911,197,181,741,723,665,634,858,424,700,509,524,483,
636,098,955,062,646,092,124,363,093,513,292,392,759,999,121,571,445,040,865,
528,208,796,212,239,806,878,021,701,974,739,939,813,483,633,547,771,592,274,
976,410,450,719,296,201,476,647,991,834,328,576,364,335,772,991,590,054,837,
039,528,663,368,195,745,421,181,187,415,281,697,754,254,089,751,948,275,325,
392,140,958,437,456,180,770,393,680,090,253,751,675,167,669,454,102,916,301,
292,350,865,031,668,507,679,281,172,036,444,790,730,401,201,512,076,110,836,
208,279,171,212,963,261,724,675,191,189,774,286,018,752,591,357,944,167,426,
167,727,613,647,307,515,182,984,618,012,331,302,492,539,990,037,900,405,719,
141,845,884,556,751,240,186,750,889,624,939,907,953,937,310,217,013,250,270,
896,392,236,457,121,296,684,960,720,471,388,146,603,944,605,464,206,185,303,
212,570,719,713,460,412,988,677,915,739,823,234,452,978,453,112,028,948,532,
797,173,967,659,625,616,565,926,689,491,116,214,005,304,177,384,310,316,799,
742,654,359,201,882,334,195,981,055,587,676,582,466,474,529,783,818,489,120,
390,368,239,907,441,188,343,044,580,995,636,846,105,448,768,679,931,289,007,
871,218,254,079,737,159,820,709,516,877,859,791,451,222,159,307,406,358,421,
323,431,701,559,779,263,101,121,134,834,421,910,732,340,063,591,351,673,802,
163,099,732,160,257,554,060,808,687,438,718,321,306,970,216,042,075,234,621,
821,353,056,016,984,914,474,984,629,521,076,818,204,024,837,178,622,079,309,
397,133,529,833,978,789,191,765,403,628,799,540,848,857,679,974,650,688,394,
675,584,265,131,925,928,510,726,252,291,107,605,787,411,225,762,952,226,859,
010,093,642,576,296,160,435,233,530,998,641,370,142,583,802,795,850,833,073,
497,984,375,331,736,608,123,126,891,552,500,776,156,996,445,117,097,124,802,
734,862,736,503,378,157,826,104,918,425,005,597,424,784,420,072,017,176,932,
013,951,810,223,108,386,478,129,214,187,034,441,511,618,532,934,045,843,808,
495,844,222,571,444,295,360,960,207,019,890,100,977,993,323,352,961,234,640,
696,806,921,206,022,683,430,203,587,385,354,353,559,488,287,895,610,241,338,
119,816,531,200,596,058,460,866,411,219,173,419,238,165,641,693,872,088,210,
883,044,651,078,202,932,249,373,933,161,775,810,547,130,106,862,961,281,827,
491,024,310,512,853,729,384,046,801,662,811,174,877,310,126,317,357,292,070,
909,924,239,954,025,407,692,247,242,764,772,389,934,026,486,814,707,829,404,
183,745,177,681,826,263,142,760,653,450,607,709,199,510,532,603,993,100,196,
809,536,429,769,974,050,659,078,943,487,153,341,852,415,511,087,035,665,812,
538,237,771,559,506,849,693,494,746,210,004,322,733,831,201,820,709,630,477,
809,906,558,662,431,775,135,541,399,568,291,896,903,532,116,617,092,574,516,
145,550,844,526,398,762,925,296,294,943,744,731,592,745,156,365,509,681,542,
906,917,681,732,157,483,431,456,438,333,127,044,760,888,936,358,284,087,673,
547,968,807,121,785,480,381,580,773,816,779,455,846,375,036,444,930,845,942,
302,560,067,467,206,638,200,826,249,374,468,820,825,261,811,935,198,581,124,
451,017,533,568,698,065,927,276,791,343,462,190,418,226,619,585,977,857,039,
933,897,849,153,971,220,518,126,935,795,541,440,674,213,749,154,499,483,587,
451,577,487,066,272,300,507,437,862,072,120,730,552,816,319,086,742,796,415,
708,802,697,809,621,135,524,108,748,329,830,059,818,811,040,110,199,480,551,
842,516,439,423,609,935,566,182,957,535,176,752,411,295,355,363,858,773,232,
807,847,398,454,799,979,769,662,151,914,956,133,656,132,652,933,896,948,780,
466,460,108,420,963,737,948,379,155,831,672,935,890,495,285,732,203,908,869,
903,607,968,437,850,494,898,477,301,207,959,672,747,407,012,505,292,534,084,
997,456,971,933,343,572,553,357,606,303,829,522,806,811,929,063,315,368,327,
593,232,825,949,809,844,770,111,140,089,724,864,417,800,674,864,846,940,368,
469,566,315,104,142,758,245,027,860,209,873,605,733,958,817,966,200,892,769,
630,308,051,288,374,988,145,623,443,232,947,786,681,721,134,375,813,809,774,
195,335,347,145,865,035,286,409,370,222,415,506,049,221,805,308,915,242,597,
086,012,911,315,291,752,663,535,508,818,822,623,829,794,075,254,406,565,648,
015,633,513,011,221,326,107,108,696,448,313,003,817,140,892,201,286,700,491,
384,296,967,017,758,558,373,974,473,679,302,378,066,003,642,795,876,595,697,
872,224,663,976,667,073,315,818,638,021,090,425,862,202,340,299,104,041,590,
361,576,878,103,364,418,985,390,930,423,994,945,233,585,861,249,184,193,382,
176,777,577,361,084,821,305,828,707,295,273,038,883,369,891,812,668,312,336,
722,240,419,646,384,099,160,598,937,470,342,198,152,343,914,539,297,662,224,
252,248,715,747,158,886,385,094,441,915,103,186,614,058,328,929,757,100,357,
517,923,797,820,028,909,167,225,742,958,584,723,487,282,081,096,896,162,713,
407,613,685,579,782,282,330,181,246,257,662,665,909,764,943,124,320,528,009,
275,715,569,075,311,072,672,144,090,155,281,346,180,399,603,422,966,236,665,
467,131,932,749,281,465,467,976,440,150,612,641,876,727,173,208,281,002,853,
551,176,491,309,427,859,992,847,276,401,871,605,852,411,004,619,774,078,591,
392,404,820,532,959,884,809,507,045,271,298,210,945,321,639,324,983,564,418,
400,116,641,358,807,150,795,273,804,088,274,790,100,860,459,046,568,332,543,
511,884,060,959,343,250,405,764,727,433,162,694,393,857,981,238,846,181,517,
308,736,635,811,905,212,779,278,913,319,493,018,407,158,291,299,657,580,912,
043,130,058,965,021,885,057,041,071,795,489,504,008,392,052,871,072,742,502,
852,285,858,771,965,444,720,027,001,739,087,583,608,196,332,764,579,338,240,
703,988,601,189,109,893,647,454,966,535,143,078,522,248,375,062,501,195,537,
562,102,036,535,153,063,855,025,865,960,135,040,600,361,412,797,263,396,377,
830,095,027,859,066,530,757,536,638,235,415,422,933,954,047,251,353,209,216,
990,955,019,227,190,231,892,938,985,980,936,486,912,864,750,024,153,296,274,
700,019,151,095,809,861,893,181,767,161,769,760,857,348,580,138,423,278,159,
565,196,751,085,551,902,252,431,238,168,185,497,617,054,701,333,724,372,941,
968,663,258,779,517,823,555,155,920,643,917,220,431,332,656,592,983,596,813,
366,720,927,500,328,798,075,604,437,995,381,787,540,766,717,350,606,403,313,
056,828,882,900,568,713,708,343,222,466,657,677,933,255,867,053,444,269,938,
456,259,955,538,187,192,868,038,926,222,444,013,226,600,155,515,456,560,507,
755,501,016,952,613,365,813,805,625,512,127,358,943,862,859,859,729,737,383,
632,263,952,822,883,754,019,588,425,574,745,448,338,376,956,933,258,190,669,
488,420,591,795,967,176,062,402,139,367,508,826,501,621,928,777,509,295,530,
025,850,103,267,406,489,538,644,118,446,236,071,101,422,805,917,793,409,329,
583,153,999,817,043,422,823,432,837,012,705,022,440,697,154,244,877,903,427,
646,993,637,575,465,997,169,909,911,895,450,147,272,619,758,471,164,769,425,
228,940,898,494,626,002,227,212,166,571,278,302,006,087,278,357,747,489,821,
808,944,145,614,982,423,583,181,126,571,142,656,097,635,102,792,082,418,969,
681,967,046,242,182,289,515,478,028,859,947,969,301,985,764,658,196,492,956,
071,805,737,336,099,998,693,882,176,260,638,360,036,347,353,729,115,051,300,
427,005,986,392,545,235,428,505,989,204,412,127,124,696,729,626,185,277,467,
629,466,406,688,316,903,227,590,166,380,626,257,553,575,224,510,378,054,230,
455,737,605,819,871,179,755,150,523,462,857,643,997,304,546,312,147,470,829,
785,886,779,999,997,489,119,846,870,368,574,458,776,525,000,052,133,113,717,
649,154,145,901,150,957,040,943,525,362,173,053,335,956,789,997,158,343,037,
450,312,197,335,196,753,173,896,167,553,989,940,711,026,129,835,322,647,338,
400,100,661,612,190,801,752,674,055,181,813,808,932,433,942,350,883,770,439,
333,888,155,009,927,491,654,471,690,052,539,472,465,586,540,266,330,170,414,
627,828,494,259,329,287,870,331,583,649,015,888,690,447,958,225,179,018,848,
405,241,530,810,980,762,135,143,568,518,169,406,328,120,621,279,181,931,432,
495,737,578,905,682,805,759,548,425,551,386,746,312,374,578,673,658,611,297,
465,172,517,287,259,511,684,612,887,178,378,084,024,393,561,555,769,501,703,
590,095,888,550,530,367,769,926,375,313,977,909,199,798,175,336,756,554,613,
836,271,253,645,011,089,468,608,231,350,021,804,926,126,086,544,597,920,486,
841,691,624,975,263,328,407,839,527,567,893,082,478,879,484,784,476,255,140,
824,261,917,005,490,583,451,620,637,624,461,189,671,183,833,662,667,330,783,
392,828,911,204,858,497,845,490,785,666,602,864,792,485,042,086,586,086,012,
843,476,946,038,670,863,106,645,208,016,602,300,329,388,398,195,814,037,615,
425,787,694,560,686,102,734,628,217,777,146,505,079,330,628,641,409,815,465,
620,776,657,723,510,199,633,055,464,438,926,848,263,588,357,034,174,564,936,
346,749,022,764,394,712,625,151,106,667,584,145,227,557,324,482,311,178,457,
910,493,987,757,518,061,864,434,040,203,383,805,080,065,712,022,084,165,483,
006,687,378,244,520,690,345,462,669,433,153,914,204,163,260,884,597,199,730,
034,025,281,573,981,093,439,212,422,111,678,980,941,687,260,740,741,447,240,
370,327,397,960,419,156,598,886,924,117,983,057,990,572,661,074,427,019,553,
675,412,257,468,143,271,248,287,048,679,437,561,825,139,697,091,576,857,420,
144,976,095,123,309,799,926,760,732,556,069,004,850,835,336,763,378,402,272,
127,400,116,641,906,401,477,969,783,615,309,984,351,141,998,268,001,085,580,
719,901,220,376,969,843,931,794,348,862,843,576,429,626,884,707,317,140,521,
646,999,376,249,931,324,475,703,776,253,454,574,983,291,179,958,082,668,596,
140,864,091,871,731,225,116,570,498,727,181,013,854,500,901,126,890,709,568,
359,968,058,934,877,996,001,949,536,231,485,337,166,254,610,235,171,567,345,
268,361,307,627,867,717,411,419,986,900,224,679,717,414,839,103,789,683,008,
688,017,830,968,436,700,917,517,961,756,955,388,666,723,400,153,545,232,379,
287,771,869,807,699,420,665,308,028,718,903,250,199,137,236,640,099,478,015,
720,359,407,872,043,093,428,169,204,569,799,500,244,055,826,896,014,975,068,
173,403,275,545,910,766,990,833,375,009,939,664,878,582,022,595,793,794,010,
811,816,005,736,811,248,536,540,843,138,862,123,990,389,958,023,570,081,130,
106,944,343,112,954,918,496,076,301,125,734,339,072,587,826,657,724,223,589,
214,256,493,287,847,862,024,225,832,697,062,544,639,367,324,397,169,114,236,
406,134,112,317,551,565,501,873,903,188,014,943,627,789,565,198,695,313,657,
256,394,980,933,671,369,715,238,315,605,065,430,283,270,013,615,295,668,760,
771,883,488,241,388,502,495,199,230,129,965,690,986,218,566,292,278,933,520,
283,044,700,952,355,120,024,967,837,000,564,749,952,050,562,029,420,328,679,
360,151,354,911,405,515,708,199,401,800,743,241,271,017,184,077,705,225,494,
799,611,579,284,740,775,580,819,214,061,888,070,381,403,486,800,936,354,626,
793,135,657,015,213,915,165,735,847,345,646,956,014,645,432,498,179,729,653,
118,549,200,691,924,571,577,626,305,558,067,357,632,191,843,048,745,008,913,
276,434,546,850,434,055,804,951,926,061,624,975,201,371,810,726,469,193,347,
016,198,282,271,188,836,794,296,208,834,049,432,969,912,013,028,247,768,307,
058,341,728,922,486,912,983,182,283,958,598,515,788,935,767,285,471,642,782,
895,207,089,982,573,679,928,560,164,147,464,723,112,935,131,614,172,514,178,
848,434,772,154,506,799,848,198,339,843,525,190,706,107,884,092,968,999,633,
833,582,871,739,910,626,490,705,795,485,825,278,641,208,277,771,214,261,468,
700,666,497,401,792,396,245,948,785,480,037,320,329,276,506,386,335,559,712,
135,815,112,680,284,948,693,756,347,992,346,622,578,964,737,014,546,808,113,
768,054,124,127,355,961,153,014,172,502,377,182,758,847,431,734,064,563,967,
059,812,610,072,041,770,204,679,289,040,792,586,811,893,402,540,499,190,091,
978,719,430,841,704,965,703,728,635,435,521,805,936,044,457,259,612,512,060,
335,953,329,278,281,586,398,998,399,460,857,571,053,146,705,910,725,647,146,
750,117,594,183,457,943,366,370,651,171,978,078,531,035,790,425,517,793,024,
535,591,511,769,295,048,297,703,601,558,535,158,099,692,562,560,483,839,304,
909,951,324,168,780,190,830,847,484,642,135,630,647,872,352,898,880,567,676,
726,676,427,949,325,034,111,097,879,694,166,585,375,875,581,410,253,061,400,
990,125,615,977,510,079,241,804,847,382,649,869,477,121,665,456,763,807,986,
545,275,050,272,515,961,543,905,861,330,094,586,442,598,213,689,799,081,932,
105,213,245,389,093,592,609,112,788,681,399,352,922,892,486,662,396,160,688,
195,462,033,050,928,480,413,642,305,646,527,826,980,720,827,209,688,916,250,
250,240,604,659,895,498,400,849,995,232,056,731,268,353,607,716,473,185,747,
706,384,539,880,083,996,970,964,406,065,879,355,777,741,864,776,975,221,880,
414,081,413,335,850,878,057,939,478,972,914,404,981,407,478,203,328,935,891,
890,293,827,322,898,888,011,545,269,028,852,183,718,403,838,815,646,960,533,
409,693,154,912,162,892,924,105,497,280,526,572,814,045,992,939,726,103,588,
205,669,366,176,768,881,849,309,466,496,476,012,049,477,207,958,192,503,368,
580,253,275,020,833,435,153,444,730,795,853,744,078,907,949,182,839,918,998,
003,502,185,135,964,107,254,796,803,605,968,385,685,410,815,386,950,280,289,
476,299,733,715,785,176,516,124,248,289,364,149,042,901,287,376,507,724,791,
955,379,382,876,426,955,448,213,391,306,758,062,610,825,753,035,585,633,552,
600,024,301,071,765,123,786,828,535,454,209,881,114,044,349,076,820,053,331,
613,777,753,942,908,635,749,954,771,631,102,492,683,818,089,011,444,085,427,
526,668,253,493,624,651,823,402,216,162,573,458,888,088,324,441,551,792,624,
780,536,226,768,771,882,674,692,481,202,392,610,274,521,935,788,333,473,159,
549,385,514,659,417,078,193,514,055,948,920,562,021,414,200,573,363,893,688,
346,958,505,234,937,528,629,587,988,632,879,211,043,560,224,277,310,532,227,
627,745,679,329,381,478,859,242,862,621,868,883,837,496,919,458,225,917,174,
164,591,577,801,725,290,565,991,140,467,277,691,367,079,011,195,700,384,901,
815,594,698,091,453,400,348,938,225,921,935,325,194,048,263,946,766,462,645,
142,822,036,687,368,085,848,600,589,140,949,555,172,144,717,364,082,068,160,
229,785,585,299,967,875,611,788,611,104,603,078,362,583,077,718,900,833,641,
323,048,349,148,636,293,990,600,916,514,670,072,272,263,688,397,909,214,347,
512,151,607,988,035,367,610,843,430,123,499,343,244,140,141,282,637,878,414,
557,878,181,561,309,496,013,153,224,252,111,626,947,654,652,694,521,393,733,
148,196,159,089,807,521,506,948,575,392,007,411,887,118,541,042,138,108,510,
608,890,864,067,898,000,274,073,111,551,903,154,730,438,186,240,608,032,496,
503,211,914,338,309,847,920,408,314,473,286,359,199,282,658,446,045,645,460,
850,819,873,823,992,372,123,061,423,023,021,987,484,375,196,020,299,387,315,
561,736,528,438,892,733,830,127,760,437,247,517,880,039,077,003,790,576,533,
692,384,970,083,941,954,982,541,710,781,740,553,933,931,383,526,722,823,398,
122,383,987,816,312,577,812,337,113,816,576,251,160,806,089,330,388,485,560,
350,871,947,494,969,468,292,427,914,134,034,597,768,103,730,336,336,615,438,
706,407,100,951,762,485,191,492,504,655,532,580,752,726,863,192,264,806,540,
438,809,504,383,905,100,480,301,308,206,804,884,619,627,767,006,266,722,607,
055,386,550,101,889,417,225,954,778,984,842,197,146,566,780,955,013,957,471,
200,305,688,625,564,581,680,248,842,220,252,346,964,187,305,372,216,760,739,
231,330,246,451,783,656,473,351,208,543,170,772,517,766,555,553,853,684,954,
239,857,945,831,927,048,373,757,058,331,150,080,265,810,734,800,489,130,731,
661,023,135,609,809,020,921,858,953,660,778,213,996,407,594,605,421,087,998,
485,157,369,045,816,441,878,339,329,048,132,809,229,117,109,724,463,267,361,
257,806,841,246,361,107,318,992,710,106,360,566,629,933,583,061,673,488,644,
872,150,814,480,403,716,002,506,836,172,171,380,914,060,586,007,779,383,357,
506,348,309,144,181,428,999,143,490,078,510,878,773,610,086,049,082,430,115,
290,427,592,933,387,617,047,301,880,262,194,071,978,261,185,839,134,967,286,
907,789,321,415,948,913,124,648,785,579,211,129,099,745,656,031,705,733,829,
473,606,966,687,124,890,396,272,048,649,944,163,240,523,252,729,634,225,465,
548,804,849,048,309,687,707,631,467,024,660,993,003,654,698,014,546,332,880,
373,582,270,638,247,603,901,708,049,673,075,893,673,931,778,119,687,133,584,
790,554,581,808,780,252,271,213,540,677,305,714,631,521,240,722,202,987,970,
203,091,593,478,958,383,765,425,826,261,119,692,864,478,580,683,394,360,147,
158,522,614,133,478,715,169,789,642,143,163,161,296,123,011,877,551,146,728,
137,464,049,460,985,568,555,980,637,853,723,790,010,874,306,886,009,652,997,
609,929,191,697,440,052,824,534,068,375,616,668,402,634,655,725,259,096,126,
653,971,751,870,123,659,451,836,893,080,109,523,864,402,583,246,230,061,456,
908,480,729,767,133,646,900,906,728,800,775,828,314,474,911,880,851,034,001,
714,462,654,940,092,424,080,346,449,817,761,443,692,846,632,588,568,007,660,
299,338,332,124,964,512,475,229,462,981,244,787,881,364,084,463,589,393,763,
691,728,586,367,309,469,180,318,192,891,982,366,562,340,693,395,966,254,570,
842,276,290,407,178,508,435,205,388,452,061,151,717,808,610,309,540,436,911,
508,629,439,009,686,863,464,100,615,128,906,026,162,801,688,966,320,477,530,
645,042,650,477,766,300,873,268,476,285,647,317,397,607,649,460,021,383,548,
622,759,377,321,926,578,138,960,629,917,292,011,552,106,940,819,853,298,847,
679,904,636,480,722,730,195,492,138,903,148,088,660,430,936,270,177,154,074,
705,318,702,892,309,283,818,702,799,506,710,510,499,193,337,457,581,389,696,
244,218,821,770,536,712,208,473,708,291,063,153,478,368,018,447,428,894,273,
236,454,579,494,831,117,322,124,011,277,769,755,333,696,242,914,061,718,954,
029,404,399,068,139,660,014,397,503,377,543,897,818,168,869,504,395,220,861,
180,801,790,766,437,340,335,608,261,096,142,100,818,690,774,551,753,063,826,
792,884,102,781,126,156,699,395,614,088,103,661,109,857,508,846,605,711,880,
484,829,347,949,063,514,711,298,609,638,286,206,654,346,985,847,133,635,889,
473,581,515,627,158,615,249,100,076,528,674,370,472,642,627,176,435,990,832,
930,315,246,783,044,328,141,137,279,028,509,745,287,655,569,149,138,959,241,
285,524,350,731,473,489,202,791,645,499,232,560,034,373,180,287,299,454,936,
549,443,132,559,917,495,629,254,602,828,202,673,653,455,408,815,419,926,778,
083,098,873,153,831,516,814,104,982,022,069,736,604,721,692,271,189,916,326,
138,112,953,332,380,831,482,471,042,945,915,139,969,702,778,226,857,053,820,
257,881,117,370,784,911,216,256,450,180,546,851,309,457,209,076,815,858,438,
458,882,501,382,295,590,880,616,940,794,596,513,827,740,346,113,834,170,047,
420,436,665,834,611,025,878,337,386,186,040,483,640,418,733,066,717,758,314,
560,892,501,766,446,335,268,806,503,172,762,188,896,181,764,177,403,025,734,
334,678,628,298,778,179,661,623,512,175,585,018,302,170,261,678,270,743,213,
827,653,140,971,814,261,449,753,429,336,832,390,229,174,939,267,667,882,219,
285,107,533,985,489,232,032,388,387,475,945,165,074,366,145,454,996,867,401,
626,038,825,066,851,647,404,487,345,806,356,323,734,026,887,226,328,631,752,
685,426,422,041,442,713,251,699,709,433,086,254,293,680,052,450,906,727,189,
801,982,122,490,006,908,037,539,096,980,404,175,589,325,887,466,840,529,614,
891,814,789,525,138,276,968,669,319,917,968,593,961,155,826,290,756,367,205,
088,976,385,523,607,732,461,475,927,098,907,426,996,368,599,570,243,396,994,
546,822,154,182,610,511,683,523,269,555,137,875,312,391,173,867,846,961,397,
259,308,339,756,784,189,964,467,469,192,895,133,681,384,697,982,678,278,576,
909,874,005,200,833,830,402,475,751,003,931,695,943,260,182,500,224,114,726,
418,704,521,444,044,478,096,060,338,378,134,901,582,580,031,930,174,527,599,
902,040,219,464,981,491,916,682,114,604,623,606,275,771,329,405,702,376,137,
860,519,413,900,234,408,610,562,306,540,085,053,213,165,416,237,226,917,762,
210,084,640,397,209,482,438,916,004,221,312,138,658,209,661,570,283,140,052,
997,882,268,398,224,140,798,817,926,157,988,708,253,251,971,625,355,437,697,
889,346,970,390,045,045,065,553,614,618,649,171,594,488,325,323,808,503,549,
864,461,522,495,118,678,541,052,387,249,945,691,876,755,303,002,604,963,058,
246,703,175,758,048,094,031,880,458,614,253,517,037,690,347,327,918,721,891,
254,166,604,307,487,522,357,824,313,034,878,798,426,781,757,518,179,255,571,
373,609,445,688,828,959,282,741,023,125,212,842,836,789,820,636,139,083,335,
226,617,312,126,237,193,582,616,452,052,335,133,742,740,848,986,841,863,481,
567,032,721,156,228,506,369,861,056,664,178,525,737,248,192,669,955,418,292,
688,479,578,268,317,414,810,593,583,803,115,363,819,551,757,154,518,470,836,
776,789,178,631,079,564,673,784,665,452,271,482,436,072,320,134,411,916,238,
536,150,813,598,312,984,470,448,103,262,630,192,730,595,144,462,198,978,241,
286,602,165,787,565,431,973,536,109,095,215,288,264,588,019,881,833,650,424,
443,788,534,426,669,008,718,871,925,979,812,264,177,556,137,512,157,898,283,
941,745,645,285,290,639,681,940,381,205,073,832,979,396,489,863,301,952,613,
001,140,500,067,448,328,309,260,694,011,863,437,576,084,330,145,240,957,711,
631,405,506,703,643,770,872,624,705,252,084,082,344,285,059,844,623,307,675,
260,492,995,474,054,494,928,627,430,722,642,206,981,476,567,093,318,786,480,
663,543,428,505,347,464,159,596,883,697,604,538,448,745,570,945,725,921,031,
182,129,794,427,249,214,239,555,670,914,053,571,281,451,790,773,338,999,587,
465,289,456,854,004,387,690,375,682,122,774,809,067,502,469,605,209,050,659,
566,042,479,197,937,713,416,149,118,613,975,251,868,910,042,626,575,539,562,
568,419,700,990,931,486,097,948,873,624,653,539,573,867,352,308,488,605,574,
404,430,792,862,431,695,601,190,984,759,214,526,736,580,444,659,840,514,891,
308,175,059,103,547,144,899,473,102,704,676,265,925,557,405,670,534,502,114,
606,254,211,689,552,151,788,496,839,621,799,387,459,851,784,537,433,343,242,
177,548,067,120,995,158,192,386,669,774,645,779,496,879,258,439,338,542,273,
473,613,797,119,719,130,777,748,486,858,815,948,529,539,883,367,427,823,617,
104,517,883,112,355,139,495,736,359,095,537,903,935,362,724,265,855,934,247,
457,825,615,185,297,555,371,177,191,550,874,959,270,832,599,271,431,078,947,
073,454,592,590,057,070,501,640,053,158,793,218,596,911,688,494,163,898,615,
498,892,130,105,268,262,049,996,875,448,188,552,327,135,324,978,126,625,216,
967,546,398,978,133,478,412,457,825,818,315,303,815,724,682,589,351,613,722,
535,236,922,664,922,381,672,666,347,630,172,173,223,367,750,454,938,127,608,
144,572,724,265,604,874,777,989,963,373,126,354,235,460,149,328,916,259,964,
085,440,924,327,692,765,674,169,699,079,046,185,079,872,946,666,111,366,760,
027,791,516,912,134,937,252,545,318,800,936,698,619,871,965,803,956,802,473,
609,128,635,249,948,826,513,973,566,463,016,563,924,120,588,483,497,995,324,
382,734,353,784,929,899,654,609,527,300,495,101,554,588,477,179,455,227,994,
773,421,021,640,896,323,232,275,214,630,681,830,681,764,339,264,905,943,893,
966,515,238,106,988,116,930,236,781,344,173,322,454,014,712,828,821,400,836,
348,455,484,138,330,354,159,138,503,299,581,589,448,100,689,571,066,191,012,
569,746,889,783,428,694,531,954,469,665,327,337,464,384,477,182,628,063,169,
347,481,817,539,576,071,271,817,731,751,251,491,597,144,707,718,722,188,041,
040,810,242,904,044,151,462,412,693,443,596,423,589,801,155,196,973,454,335,
863,979,850,358,681,772,836,064,136,117,580,801,367,408,606,125,941,405,608,
285,520,429,859,912,532,321,281,103,903,951,417,926,788,887,488,354,632,331,
565,410,863,705,772,200,896,473,002,223,630,257,453,806,987,640,841,139,052,
827,898,408,782,867,826,602,694,549,942,100,185,663,669,569,091,516,371,305,
802,149,469,152,277,314,483,777,932,550,896,562,352,047,855,690,234,335,656,
735,703,498,385,279,041,227,621,186,531,979,986,656,012,336,435,000,085,030,
655,113,487,612,091,905,954,200,417,700,886,685,734,225,384,004,042,345,392,
765,837,109,322,471,241,961,688,160,298,009,902,363,327,963,091,863,310,822,
893,109,945,552,192,505,672,227,245,705,578,870,494,446,649,966,741,098,863,
065,875,173,458,172,709,718,777,523,446,055,066,224,865,865,831,386,931,687,
866,009,383,812,234,615,162,341,879,767,431,642,238,338,994,823,372,727,468,
896,389,604,761,436,699,861,363,994,298,291,262,650,401,232,727,825,600,862,
874,239,255,045,231,432,079,758,336,491,594,511,374,285,939,031,436,028,987,
734,359,137,099,225,158,336,705,013,040,436,928,893,093,350,223,908,559,464,
909,037,618,503,022,293,428,184,767,987,233,280,795,702,067,603,864,019,119,
464,838,353,266,390,403,550,784,264,691,397,951,829,107,649,537,064,944,197,
998,864,093,709,967,341,777,021,606,700,985,201,349,497,511,623,671,817,849,
149,790,899,248,157,054,613,505,459,415,234,750,587,891,166,485,221,511,685,
467,861,005,446,777,832,307,160,982,404,873,547,344,651,796,620,826,848,654,
568,846,117,306,974,918,685,206,160,973,066,851,486,143,968,208,783,795,069,
432,289,214,439,589,794,362,779,211,877,127,229,373,426,692,991,702,371,811,
509,930,140,113,055,837,614,710,391,236,682,342,872,495,097,020,617,150,087,
134,092,047,528,289,137,558,710,533,846,670,546,999,019,571,461,589,415,683,
743,918,632,813,018,042,085,758,550,362,199,975,554,551,261,968,324,705,445,
527,587,426,580,196,962,237,381,507,600,554,639,815,124,569,712,353,461,333,
338,508,041,069,016,619,808,599,264,424,719,199,476,956,883,462,408,781,645,
354,174,330,392,403,463,996,263,207,873,058,035,355,313,744,103,452,154,544,
476,643,473,152,887,150,427,654,583,898,639,333,605,164,542,852,700,021,835,
059,644,458,465,078,416,981,716,762,272,226,870,725,541,913,215,163,554,591,
273,099,542,298,269,884,927,782,557,830,110,238,246,462,113,028,452,326,534,
742,091,984,443,256,349,867,943,596,441,225,474,512,716,463,654,634,082,040,
041,747,864,142,336,135,436,338,393,283,339,380,709,871,613,145,128,978,949,
272,741,002,611,491,556,728,312,576,669,402,600,440,800,101,957,075,674,000,
124,950,057,527,230,727,520,576,960,321,393,180,577,894,774,221,733,477,917,
439,793,535,728,318,664,548,622,422,030,677,940,553,426,880,126,334,191,283,
727,526,673,784,645,255,963,682,570,224,751,734,147,786,638,563,279,256,765,
101,075,968,958,861,398,374,480,576,598,731,884,931,152,687,203,928,284,991,
006,926,598,710,404,024,657,164,414,835,046,560,124,965,056,894,165,267,498,
272,462,315,892,595,264,940,069,675,607,727,748,534,003,433,647,415,372,185,
180,101,978,633,929,847,025,163,166,591,928,635,141,453,170,440,499,985,787,
256,280,823,024,407,059,859,310,321,137,459,481,498,945,632,063,359,483,894,
354,691,769,577,612,980,883,793,018,279,254,475,663,231,083,880,495,989,816,
241,005,739,512,400,368,946,496,037,542,548,034,029,621,635,162,388,967,840,
071,093,368,618,980,740,476,257,198,718,790,169,101,455,248,640,805,437,792,
400,243,919,401,478,780,538,242,657,620,869,444,236,992,048,130,435,120,575,
653,220,467,590,063,499,770,308,006,701,357,614,966,755,959,168,725,107,522,
288,888,351,031,000,973,542,403,195,013,811,358,645,738,498,216,530,481,633,
138,121,685,022,319,864,305,560,620,793,432,555,209,072,272,429,270,083,786,
878,976,274,217,625,723,430,542,636,409,422,839,017,922,065,835,804,341,038,
545,150,875,300,891,411,819,594,130,185,078,541,980,530,995,881,687,894,589,
880,411,341,251,293,934,524,764,214,832,693,112,768,059,540,264,821,595,580,
188,015,866,514,694,362,657,399,872,004,244,080,108,417,404,095,483,122,803,
160,782,691,331,977,106,804,612,039,234,838,721,104,021,359,339,771,991,622,
202,470,425,747,262,770,515,654,980,041,206,336,644,887,353,810,400,590,003,
690,034,569,489,721,451,540,791,025,596,702,583,776,388,851,516,721,408,405,
267,984,364,513,247,271,569,394,831,763,519,676,009,651,736,483,209,625,233,
198,928,652,480,490,529,624,089,092,726,101,704,162,260,942,673,983,989,528,
530,742,011,045,991,441,033,960,638,587,111,118,249,596,362,987,498,806,874,
726,433,488,302,681,707,289,800,126,564,523,790,191,970,426,301,564,564,598,
174,910,121,974,980,728,973,047,954,530,714,275,337,485,550,408,401,229,426,
754,801,800,468,722,839,513,325,216,502,369,010,486,932,222,266,997,505,151,
752,470,352,490,503,703,933,659,615,341,792,783,728,881,378,324,725,699,883,
540,846,400,017,283,830,065,884,044,320,011,117,813,458,911,089,218,267,072,
646,910,666,165,453,547,860,297,955,630,883,736,519,788,853,057,574,593,428,
427,396,907,659,952,948,095,782,473,974,552,256,873,095,818,510,396,722,075,
309,602,106,003,456,712,221,450,520,874,259,206,425,544,359,550,100,584,838,
895,051,914,878,867,968,127,631,243,134,838,705,475,722,758,122,033,530,167,
226,977,183,501,322,417,953,282,629,790,263,548,198,198,371,434,524,211,782,
642,509,335,360,365,951,812,998,126,609,222,510,221,550,713,373,606,702,881,
382,848,686,355,543,809,229,513,936,348,070,050,274,548,198,360,255,792,304,
147,306,819,817,050,722,458,374,567,448,236,982,669,817,238,771,204,119,737,
966,367,218,618,898,589,471,280,462,913,863,092,227,614,019,279,224,218,392,
167,196,624,135,066,193,491,610,992,213,713,902,254,324,863,602,598,963,891,
254,813,942,104,584,465,965,417,300,458,020,773,710,671,812,043,979,668,453,
955,042,428,318,135,104,196,256,368,368,190,711,930,542,009,979,822,344,230,
524,482,317,302,665,546,110,046,133,073,033,904,937,411,860,209,649,108,993,
119,286,522,787,162,730,008,311,725,476,913,049,179,666,155,619,878,320,727,
269,702,948,228,953,098,484,149,692,987,196,528,896,195,600,975,784,374,806,
242,882,380,690,278,490,990,589,976,666,720,788,303,566,907,627,848,857,678,
260,978,518,284,238,024,296,986,381,225,863,197,377,072,523,026,164,961,645,
357,880,854,625,976,277,908,771,411,930,597,593,781,924,447,012,295,580,005,
189,312,422,048,821,389,940,358,630,472,515,403,955,923,522,428,887,110,287,
997,795,040,889,309,430,312,170,392,083,230,464,937,246,300,179,116,391,673,
674,649,839,632,194,115,570,891,161,522,681,400,088,409,385,051,265,761,849,
982,989,821,015,860,819,704,973,778,722,640,237,767,970,657,472,109,428,785,
432,463,582,220,891,194,676,694,608,107,462,299,242,720,039,990,744,663,809,
237,009,032,535,695,798,998,309,487,151,752,094,446,703,622,451,125,158,506,
681,034,103,568,369,409,617,755,606,476,674,303,391,104,739,054,327,872,120,
404,580,670,190,682,168,725,659,626,716,506,737,864,807,883,890,728,778,818,
364,657,246,331,858,597,177,786,711,744,561,693,792,241,708,146,727,564,150,
456,074,779,828,896,153,862,740,742,390,646,696,846,290,131,106,557,627,170,
175,146,428,540,878,218,900,482,163,738,322,566,492,965,225,180,255,775,639,
611,558,412,413,964,561,800,504,953,296,142,096,019,257,789,321,444,286,959,
915,318,210,569,737,122,251,083,446,985,455,105,440,928,956,313,786,873,423,
390,477,829,012,810,334,739,796,010,590,722,563,681,108,734,109,703,724,370,
642,288,853,424,838,856,908,464,347,825,946,293,962,760,145,657,186,147,389,
009,800,523,378,377,815,860,205,706,693,712,900,956,797,920,786,146,951,092,
320,777,555,374,158,477,378,615,276,201,118,742,937,232,897,045,861,580,421,
587,195,181,670,127,668,746,258,253,572,180,354,491,695,467,577,031,663,793,
012,184,424,508,465,397,920,476,879,726,435,942,764,538,609,320,565,863,002,
552,377,838,994,962,299,684,676,875,232,846,946,923,369,626,156,128,849,860,
565,617,847,139,843,190,403,881,784,990,377,928,741,301,135,531,783,165,774,
902,357,241,730,633,415,647,212,964,397,514,715,319,994,010,447,016,614,406,
418,095,847,446,319,174,781,368,282,873,697,971,985,743,482,935,796,881,091,
259,066,366,292,277,746,128,268,901,171,181,557,274,852,209,905,506,089,649,
714,745,976,368,337,094,099,664,544,853,174,342,514,760,614,212,183,555,156,
723,532,462,756,952,517,645,448,734,344,203,521,898,078,295,314,236,152,828,
194,409,625,372,103,320,432,276,722,762,925,041,978,277,608,214,090,315,738,
543,198,931,743,138,478,162,851,927,327,320,727,724,284,652,520,897,807,424,
858,251,794,782,459,604,973,261,790,884,238,276,352,401,273,577,126,696,996,
686,536,902,366,280,908,323,263,937,164,136,970,241,249,707,377,524,609,889,
601,276,074,834,359,211,633,130,049,336,193,249,993,593,415,116,753,913,790,
771,568,391,000,185,250,609,121,442,631,151,303,813,699,247,244,899,915,365,
265,714,912,768,704,387,044,019,592,737,416,191,711,730,915,185,068,947,622,
281,804,215,456,874,565,067,918,659,370,011,438,195,078,814,264,103,640,057,
211,834,506,162,370,842,483,396,683,200,246,875,579,707,235,802,592,707,726,
385,879,664,578,402,680,576,050,639,232,535,637,980,786,206,455,315,882,089,
239,399,468,071,651,992,152,184,198,777,456,636,856,775,567,230,324,755,729,
109,292,408,485,657,429,950,782,890,886,052,254,370,282,022,337,558,279,852,
938,426,362,319,261,020,034,493,981,179,337,703,686,928,910,559,737,296,165,
599,650,403,094,427,674,729,546,237,177,199,006,806,232,571,110,734,804,790,
145,580,398,018,272,651,280,689,882,549,490,163,208,942,784,579,611,831,218,
019,335,501,372,194,446,593,787,455,268,558,052,806,606,811,243,890,334,968,
654,570,814,767,731,347,257,739,419,954,527,412,090,977,526,289,388,758,577,
377,743,098,214,006,092,775,588,648,199,012,203,728,640,940,067,180,734,987,
494,406,691,806,391,820,729,129,927,101,188,326,434,728,402,874,543,484,640,
943,474,489,922,232,680,836,040,419,783,193,475,187,946,864,607,691,594,495,
563,905,829,355,315,622,309,733,074,191,213,723,366,459,123,074,151,581,324,
484,215,059,397,067,134,867,883,332,280,422,661,013,231,284,359,619,022,976,
669,632,337,904,542,738,027,034,847,505,270,840,042,815,745,224,925,448,173,
168,459,493,265,643,306,083,773,517,639,301,889,159,507,499,020,589,715,888,
240,213,869,842,888,536,965,744,895,458,639,231,843,464,426,811,296,176,209,
142,934,386,650,495,465,340,176,221,372,815,477,188,078,815,899,909,438,471,
683,994,559,315,470,592,308,950,639,806,470,037,565,950,302,187,972,688,463,
511,637,285,877,923,188,006,141,248,379,577,673,234,380,293,775,401,940,224,
275,939,126,059,404,178,495,339,060,444,038,199,341,759,024,464,342,494,043,
400,893,182,440,838,859,369,740,424,809,687,697,765,001,005,985,845,751,760,
935,833,164,576,628,072,591,348,709,297,760,042,717,664,380,122,269,091,512,
155,668,576,234,870,062,013,695,042,338,067,239,371,648,466,562,020,954,205,
618,319,693,369,766,390,020,734,333,252,756,263,252,083,793,487,340,704,351,
920,234,392,458,907,444,517,734,542,602,513,538,490,211,367,098,833,739,554,
147,076,776,394,970,248,056,505,476,730,345,305,674,485,638,205,283,220,086,
109,030,782,716,712,897,588,494,130,073,681,798,723,956,569,266,426,018,202,
156,558,273,708,758,713,998,132,149,915,343,381,572,413,342,957,846,885,225,
305,101,609,995,249,240,821,329,618,317,038,907,479,210,276,423,155,653,311,
435,937,514,066,500,009,080,262,692,704,774,981,907,077,270,097,186,351,194,
759,947,556,959,671,192,027,517,826,768,444,043,837,333,952,204,120,773,065,
850,657,956,903,526,057,062,440,179,809,281,260,076,894,142,557,254,985,621,
200,123,315,358,195,730,750,548,008,711,090,623,769,686,086,886,895,953,098,
967,000,719,418,724,739,918,191,464,386,517,027,955,773,366,130,665,918,636,
862,075,312,348,429,170,790,923,128,426,526,334,016,794,206,775,333,869,904,
501,858,853,139,104,556,967,501,878,306,117,559,406,883,459,837,244,439,552,
564,122,401,090,925,160,758,994,775,002,080,585,081,042,734,059,893,943,360,
653,749,957,396,686,146,623,714,163,702,253,607,115,457,983,660,075,028,923,
563,377,193,111,994,845,067,657,213,548,681,658,044,677,170,075,683,585,534,
662,360,784,859,905,394,435,984,064,621,188,470,656,331,223,607,748,802,467,
265,591,375,084,793,576,397,274,149,523,252,152,334,456,042,606,760,224,386,
448,539,416,566,670,772,780,486,950,475,891,814,691,377,812,590,074,693,409,
065,824,642,860,415,015,110,233,365,458,920,076,275,097,381,186,443,105,917,
984,311,371,868,460,633,480,485,090,435,355,351,747,296,011,764,964,702,573,
315,858,754,771,788,723,605,897,482,316,887,388,188,019,836,250,461,473,222,
228,013,517,687,178,939,086,836,555,081,347,772,996,988,930,458,596,195,870,
129,042,860,536,126,662,482,572,393,460,779,937,384,924,953,922,395,175,347,
902,195,134,315,901,866,203,871,719,569,791,320,661,511,701,497,828,546,313,
125,075,650,930,312,786,485,207,919,116,017,204,379,727,370,139,125,757,172,
890,874,903,051,882,198,068,415,990,754,740,858,823,754,665,259,933,714,918,
054,842,939,938,893,597,234,276,469,014,443,084,839,467,650,407,865,280,002,
510,718,069,667,757,948,698,291,830,200,139,634,852,342,697,168,612,011,521,
428,781,846,745,959,763,784,879,804,421,847,832,216,465,613,565,540,057,921,
543,655,072,331,935,550,740,819,463,484,352,132,331,535,649,326,944,825,748,
535,685,663,033,857,148,548,240,909,822,502,927,703,382,905,314,912,252,834,
202,959,741,217,320,489,468,700,853,101,254,409,598,999,420,924,629,493,207,
533,604,432,897,205,035,562,099,629,436,890,671,125,760,274,920,898,468,406,
393,934,623,090,310,809,991,875,763,932,125,821,768,669,345,825,593,519,439,
302,029,518,240,480,773,956,825,812,494,407,473,039,927,568,434,228,416,532,
731,100,169,729,009,745,804,468,058,229,583,304,207,605,977,191,118,766,499,
036,988,976,599,427,019,982,383,356,432,438,717,914,976,005,969,503,262,407,
356,714,962,244,125,888,528,819,363,859,361,476,959,665,540,149,445,714,608,
814,898,538,128,583,523,212,836,988,173,296,895,482,501,590,041,489,413,398,
451,485,135,412,698,337,925,380,289,460,028,021,351,416,808,869,472,093,599,
788,980,277,970,357,939,118,442,184,654,941,414,286,450,850,465,937,579,289,
328,269,056,309,478,500,064,166,270,559,261,865,342,337,113,716,853,494,852,
405,562,882,069,143,800,286,362,993,476,059,421,076,383,529,416,290,954,332,
063,525,829,116,871,388,124,413,558,812,833,546,692,907,953,686,061,150,718,
463,558,315,093,845,074,513,926,079,711,388,218,955,742,839,992,168,160,272,
430,177,991,260,168,565,185,549,684,418,790,107,971,823,361,482,679,421,797,
379,713,841,017,973,176,532,715,192,015,138,818,011,018,340,410,789,755,357,
845,546,015,645,871,512,571,924,538,310,038,082,954,107,134,547,005,478,402,
491,301,822,258,154,338,714,248,539,407,600,124,671,168,483,096,428,266,319,
637,801,981,340,616,941,374,253,817,346,458,007,223,466,216,520,952,230,134,
595,337,998,950,968,711,758,136,969,912,742,886,909,791,822,363,964,713,188,
723,359,851,140,818,961,056,231,645,442,809,821,962,287,564,130,744,157,711,
179,397,760,258,625,006,889,199,671,952,270,851,749,662,787,896,269,341,121,
431,256,336,065,757,197,450,131,053,689,663,210,245,877,694,252,476,829,905,
576,220,312,540,964,698,414,538,766,400,363,015,748,949,865,225,550,961,858,
877,186,657,634,228,569,180,206,539,677,925,873,282,196,288,874,365,750,695,
474,159,757,288,584,148,603,662,473,514,306,451,497,138,909,444,874,162,191,
440,485,606,997,183,896,157,777,477,883,536,489,517,187,926,443,688,307,872,
804,418,426,144,163,688,562,432,586,983,226,655,194,515,468,352,085,115,406,
146,724,552,361,844,370,013,076,748,865,107,918,415,595,140,960,506,424,288,
582,447,829,370,770,921,456,351,172,386,320,685,152,179,560,575,650,374,655,
363,176,108,869,056,614,134,372,141,670,161,513,416,338,995,557,906,023,085,
239,812,735,415,885,636,338,601,731,367,440,537,361,099,423,368,224,727,832,
199,805,345,437,152,135,014,560,867,154,935,784,948,584,461,062,592,036,586,
665,383,195,382,025,682,502,375,279,928,496,419,807,161,717,991,939,003,393,
003,029,176,879,960,720,161,230,644,431,300,053,770,163,049,156,441,659,765,
339,587,209,996,294,578,055,889,649,778,754,602,650,302,899,799,066,666,107,
591,612,302,617,487,370,357,168,485,405,058,736,794,515,703,892,684,529,656,
304,909,366,409,696,965,829,839,005,628,906,485,558,957,051,257,828,192,960,
590,095,466,354,607,480,469,659,654,243,125,070,722,403,586,639,714,079,821,
030,489,630,972,669,980,582,475,019,204,138,426,127,057,405,254,905,268,678,
309,141,244,096,370,211,810,628,097,577,463,207,460,738,695,101,882,201,213,
208,626,792,148,232,422,543,580,413,946,446,729,352,208,137,656,894,939,800,
642,092,395,035,709,611,520,114,762,527,199,297,631,678,931,982,209,893,758,
244,453,606,228,891,300,550,176,823,678,048,694,172,642,219,383,036,632,972,
236,725,231,024,195,262,313,055,898,664,634,981,768,180,602,973,767,229,754,
575,622,238,653,149,694,982,936,703,704,934,651,590,845,735,825,165,288,805,
889,855,551,065,742,773,896,182,759,514,646,131,288,715,461,189,926,807,606,
576,654,109,610,495,562,877,974,632,064,048,314,447,548,539,813,625,767,841,
949,899,387,057,590,559,061,298,235,680,808,769,868,490,651,897,811,881,220,
399,999,863,915,529,260,848,439,353,773,261,324,986,881,199,091,778,520,837,
783,215,575,034,866,274,268,709,986,513,486,554,584,824,004,223,598,310,898,
839,668,209,847,560,713,994,869,655,852,006,222,202,968,415,967,802,609,748,
416,035,053,224,614,456,320,146,023,100,418,736,511,845,344,824,648,490,343,
573,167,110,774,039,047,315,531,744,575,524,575,751,097,134,531,333,407,763,
651,650,188,920,857,145,837,418,530,962,345,500,180,511,923,098,673,343,833,
958,918,832,499,404,788,536,275,306,024,408,080,232,050,293,440,479,105,990,
571,484,774,448,698,781,490,877,163,018,464,555,858,652,514,281,755,144,423,
678,987,967,473,965,984,692,669,900,239,389,119,133,748,573,087,144,215,757,
204,381,686,962,626,262,128,739,661,173,429,417,888,620,338,414,674,590,652,
826,767,258,270,757,221,170,204,286,086,229,273,201,714,740,848,751,469,147,
464,672,313,120,307,449,877,938,828,121,988,398,422,259,197,646,798,536,920,
840,407,670,439,519,589,211,681,654,931,067,669,790,489,028,185,073,824,344,
523,440,265,959,783,272,698,295,997,854,538,024,040,378,187,691,117,637,567,
797,461,928,759,206,694,954,735,210,702,109,806,288,314,894,490,650,543,211,
507,398,324,383,335,232,439,431,804,114,132,364,624,692,139,063,719,391,249,
377,409,264,843,242,340,689,410,977,455,371,136,121,069,240,682,254,959,811,
470,992,172,597,483,392,116,475,334,882,002,099,375,043,462,895,175,259,945,
612,306,012,731,880,131,170,163,441,985,343,522,762,942,242,809,802,320,686,
201,945,107,611,495,021,125,362,339,119,452,907,011,885,616,061,748,534,643,
891,624,571,943,998,301,442,525,128,579,912,178,916,847,702,107,951,873,647,
547,878,870,499,854,765,866,831,868,389,771,569,622,550,469,619,468,799,922,
057,525,582,631,281,062,157,006,735,238,118,557,715,453,746,853,099,737,131,
748,108,412,780,970,537,516,169,114,559,302,115,097,530,025,951,899,298,070,
485,321,232,845,812,321,043,867,235,307,188,258,626,039,311,338,672,758,128,
634,427,148,510,147,712,680,242,049,008,256,342,984,910,435,081,054,356,103,
494,742,372,801,758,056,316,923,049,774,339,199,975,437,771,090,755,988,856,
487,404,528,334,960,557,071,860,309,236,429,127,841,709,670,992,146,175,599,
480,104,385,894,246,284,498,293,452,141,554,669,653,379,231,390,114,602,191,
437,070,034,754,677,975,912,812,865,812,915,338,828,408,490,179,197,509,933,
238,874,311,762,605,344,652,352,763,955,316,995,720,268,379,537,203,445,702,
482,934,569,769,220,612,320,447,190,101,796,752,935,864,778,200,159,457,401,
355,823,023,818,938,370,028,983,992,470,960,765,085,912,376,006,821,259,291,
578,372,642,020,978,615,919,437,338,719,210,439,583,348,873,772,552,399,776,
909,967,344,502,976,732,321,424,573,574,696,507,252,771,826,725,185,026,497,
154,278,190,501,667,235,037,059,751,145,565,763,991,837,921,947,526,308,403,
665,719,573,950,426,939,297,915,342,806,136,792,638,914,033,857,545,544,736,
452,326,244,634,458,955,138,045,179,873,073,149,927,597,280,187,415,664,814,
774,990,375,259,225,481,494,347,612,397,204,165,320,338,867,918,581,159,095,
679,289,519,337,156,074,203,067,729,889,389,595,118,322,415,166,411,914,623,
829,478,987,754,414,317,470,016,145,305,811,116,277,297,158,504,689,212,756,
894,392,605,843,409,998,590,867,405,410,962,056,701,471,515,876,466,408,738,
973,421,967,589,619,782,368,728,008,535,986,499,543,491,491,291,117,227,142,
259,098,628,761,780,582,941,230,761,276,103,767,005,429,641,731,036,990,774,
388,330,841,924,772,099,055,439,800,825,658,753,516,668,861,131,380,471,991,
199,561,499,989,866,128,873,493,129,360,406,372,662,123,191,917,857,287,323,
196,889,399,697,767,095,589,226,439,781,935,154,541,158,089,565,127,846,528,
513,734,919,653,136,396,878,060,148,460,159,307,043,432,996,326,789,751,993,
363,273,876,689,592,996,389,449,393,867,745,889,717,087,315,367,430,957,363,
371,041,294,492,200,014,166,235,902,506,359,224,747,321,100,204,626,447,086,
972,214,612,397,629,330,003,422,243,787,442,795,417,216,484,288,244,256,361,
512,277,712,550,172,880,833,291,655,120,178,667,142,721,260,608,648,892,605,
005,192,064,751,918,051,806,803,788,084,040,587,428,766,312,921,004,524,186,
001,280,743,767,330,947,191,752,297,907,570,459,588,665,591,028,600,679,037,
138,269,640,803,298,625,813,033,976,786,509,184,588,536,329,397,815,485,700,
595,699,365,650,604,864,485,259,543,145,928,609,138,420,708,186,112,106,212,
484,921,618,406,520,611,323,508,915,078,175,699,316,482,053,397,301,809,845,
966,803,595,066,713,194,811,238,524,759,340,124,924,410,222,959,465,862,175,
031,178,380,451,592,423,297,158,066,011,352,914,648,980,762,831,569,331,724,
187,682,239,489,264,038,701,176,242,708,243,991,553,600,737,844,438,293,243,
563,761,473,569,279,610,002,618,580,750,564,011,859,225,049,602,139,153,192,
639,938,883,039,042,072,146,499,623,056,526,463,210,062,683,022,408,861,394,
642,558,450,637,527,799,999,062,556,930,178,857,064,296,533,610,803,201,204,
147,955,786,640,840,864,696,793,526,262,749,756,895,241,554,858,217,584,330,
326,356,512,944,558,480,774,866,960,872,226,496,546,626,040,454,634,928,661,
859,823,409,536,379,659,944,399,668,760,803,646,086,271,260,351,564,231,494,
828,134,091,599,429,104,473,736,061,738,789,803,530,776,882,510,876,776,887,
557,214,027,645,027,166,081,593,758,117,165,988,506,326,015,880,792,867,316,
751,886,658,096,332,268,773,743,153,947,492,592,450,664,133,798,076,295,194,
826,941,520,233,562,055,236,824,076,506,887,321,255,426,024,482,258,933,181,
160,165,738,973,028,956,854,416,963,248,105,003,682,740,957,942,895,685,425,
657,320,751,847,355,595,147,015,207,304,629,695,769,949,816,169,241,168,087,
176,114,165,261,208,532,943,673,150,772,703,995,907,285,267,539,029,760,075,
474,547,583,039,622,038,143,366,518,811,965,156,882,337,636,256,134,588,194,
078,515,789,312,897,256,986,941,225,538,248,230,618,401,652,841,028,010,432,
423,565,550,078,804,652,238,846,853,011,231,448,149,696,296,928,941,384,504,
367,378,769,898,728,090,718,278,947,038,763,714,150,556,907,765,909,469,228,
359,122,961,790,716,804,604,164,452,332,199,771,705,989,616,392,766,487,789,
734,352,497,248,506,100,095,569,596,860,100,633,757,670,270,569,967,858,405,
395,843,983,526,716,676,598,008,494,510,569,944,801,095,613,023,807,199,391,
576,134,499,080,969,501,626,883,688,702,644,080,264,748,367,766,375,489,603,
612,279,709,361,489,736,269,072,393,914,477,824,001,072,603,309,569,449,699,
067,926,592,170,767,899,447,823,097,462,005,594,140,958,207,071,639,141,137,
992,288,007,269,759,944,576,895,630,856,261,290,939,047,136,857,594,658,300,
343,542,418,055,224,706,432,537,049,102,619,363,959,471,812,540,199,087,020,
883,875,445,253,923,317,227,559,196,770,678,240,868,823,552,086,763,094,887,
894,165,486,465,441,867,742,998,326,372,612,016,769,555,667,389,807,485,167,
196,842,957,000,579,259,171,439,602,118,907,336,132,534,754,657,612,055,756,
778,578,675,551,119,577,309,049,876,377,226,970,983,533,075,673,714,041,100,
149,837,784,856,517,237,031,327,334,434,019,391,985,883,374,582,505,928,575,
206,058,589,198,922,575,915,261,180,654,577,748,728,287,298,797,867,754,695,
263,154,102,039,676,843,118,714,440,655,038,202,931,674,540,197,264,962,128,
763,783,554,981,644,416,987,070,826,635,188,620,484,262,954,884,925,286,200,
954,158,288,208,735,295,530,495,092,280,149,280,204,642,171,048,528,449,192,
735,039,130,180,132,580,790,354,303,474,158,635,394,511,910,968,455,472,833,
140,857,229,583,610,955,992,238,170,305,304,013,268,742,980,367,579,522,316,
071,374,671,265,301,117,668,039,974,067,143,562,770,546,621,286,208,032,456,
018,757,478,115,044,868,531,210,593,994,189,061,225,382,136,617,123,771,722,
876,409,356,123,283,280,636,257,085,620,136,897,120,749,495,624,162,995,623,
892,402,285,061,494,623,484,928,763,408,303,349,253,494,033,363,673,454,361,
104,522,401,227,035,315,083,503,763,883,361,264,206,553,564,310,860,675,446,
039,273,222,049,333,352,087,784,430,104,588,273,219,743,634,428,267,321,968,
063,184,270,129,391,095,790,499,797,253,215,114,366,492,239,283,345,986,584,
913,367,412,582,264,319,062,259,033,320,279,053,644,916,797,812,403,083,468,
083,043,654,048,148,678,875,247,504,944,007,452,748,230,045,673,859,406,680,
325,358,723,311,038,408,071,135,935,284,833,075,360,749,033,825,707,695,996,
864,687,097,404,442,358,173,192,517,525,753,534,839,759,696,967,625,083,570,
718,722,478,165,907,372,680,334,796,679,105,145,107,972,597,270,619,252,761,
209,734,554,244,134,547,427,560,564,167,370,231,703,057,219,237,603,682,394,
941,716,722,287,490,799,835,493,883,425,532,224,405,320,069,758,495,990,259,
710,472,952,982,476,959,309,398,367,531,860,049,951,193,491,778,033,653,548,
681,289,686,750,235,602,501,176,241,516,981,181,167,810,985,812,434,887,323,
671,272,303,236,182,376,960,336,886,817,383,662,113,019,250,000,191,380,381,
702,451,619,245,836,681,736,777,468,859,734,267,314,457,646,256,774,706,597,
724,797,534,993,047,008,949,467,516,432,509,785,573,818,792,653,222,869,461,
964,624,900,708,760,070,674,209,283,927,219,328,250,061,021,593,710,900,509,
771,155,154,949,232,475,421,579,866,989,788,438,125,549,230,960,559,864,974,
129,824,137,042,071,257,468,249,804,424,738,098,575,573,146,704,243,134,375,
183,640,324,644,670,957,678,489,877,178,071,500,695,591,438,868,013,541,800,
421,475,691,875,812,394,356,377,992,365,988,470,867,387,455,378,957,791,921,
651,748,432,301,930,454,048,131,490,457,225,265,306,729,529,056,825,506,599,
935,922,824,901,102,577,151,538,124,404,001,869,321,932,219,976,782,025,074,
128,004,768,753,278,370,116,353,319,781,187,188,037,384,201,700,651,996,602,
491,692,797,181,089,756,945,948,756,272,319,197,037,915,130,461,034,412,154,
908,558,097,251,785,240,750,173,056,055,171,144,743,983,477,284,304,238,143,
040,821,355,747,258,441,552,854,982,596,684,843,085,110,752,562,657,422,101,
716,278,362,633,351,246,098,606,185,225,436,300,805,281,702,369,419,224,519,
095,903,996,238,528,304,661,091,648,272,896,754,365,368,034,065,033,253,867,
553,363,614,013,471,294,206,313,590,261,910,986,391,503,195,115,125,834,091,
517,344,772,505,722,632,359,009,625,681,282,666,677,519,164,901,551,721,710,
910,773,138,715,355,871,787,074,507,826,964,201,244,034,357,133,890,136,723,
496,535,039,516,251,831,463,359,281,476,423,921,489,113,442,172,734,013,976,
198,752,339,650,157,382,606,203,206,535,856,172,959,907,951,542,862,290,486,
986,498,396,627,944,402,810,372,031,159,620,741,331,548,454,658,887,862,000,
943,500,301,374,080,312,893,904,250,057,740,098,535,850,505,018,458,900,915,
084,286,653,640,455,634,544,953,507,680,502,625,170,130,240,484,890,205,644,
002,218,554,896,062,616,787,011,041,129,841,982,709,397,151,744,713,151,836,
844,326,507,068,613,245,972,864,662,883,437,588,513,658,778,203,632,693,217,
881,403,720,805,046,837,803,023,134,566,390,924,539,327,013,400,915,399,979,
627,129,303,844,551,964,930,903,307,613,285,126,350,067,823,960,519,817,139,
215,899,269,462,017,011,042,046,807,115,329,117,360,356,476,283,325,870,705,
324,090,449,499,444,466,238,025,931,490,116,020,279,415,156,647,876,606,661,
661,554,756,454,608,480,599,945,966,035,388,737,235,442,867,456,540,533,469,
888,017,898,024,952,149,921,951,869,443,984,263,035,810,483,978,474,147,587,
765,673,020,183,242,563,393,854,840,299,257,121,598,991,489,336,584,049,391,
861,149,211,783,500,646,143,410,745,605,762,918,213,404,919,302,236,214,227,
999,089,466,366,351,496,037,351,753,367,137,101,085,118,955,954,589,126,656,
283,655,303,681,280,994,697,942,884,083,064,116,290,942,853,533,920,683,179,
148,573,067,367,461,022,933,479,632,927,021,646,229,971,167,174,259,748,031,
330,026,801,692,115,929,761,119,856,863,473,916,418,738,381,705,478,393,013,
330,779,904,205,869,499,837,265,261,804,479,932,378,920,941,059,082,326,742,
735,262,199,765,771,560,796,808,459,181,015,189,074,025,529,044,771,938,470,
228,666,231,869,568,747,421,249,965,766,283,094,524,145,659,885,379,348,142,
491,822,633,709,330,080,318,803,629,256,036,111,123,143,895,976,779,403,363,
835,393,418,564,638,865,744,157,124,159,141,944,998,278,547,341,750,786,547,
134,782,927,588,533,483,686,847,882,440,152,135,140,625,162,434,225,333,990,
444,830,762,493,003,401,743,759,601,919,089,299,205,060,524,839,847,672,534,
348,976,472,820,296,257,288,125,938,590,913,151,525,237,199,501,504,658,123,
240,465,328,373,527,106,042,220,484,300,551,086,907,448,523,891,492,339,205,
363,820,408,221,233,301,817,254,763,544,368,518,645,304,884,077,005,959,767,
275,710,164,124,205,984,090,638,623,503,826,288,463,693,489,802,028,308,651,
389,079,190,450,477,556,587,302,768,616,707,765,432,795,460,228,108,135,603,
268,906,761,690,695,064,220,118,835,520,945,589,882,018,383,753,653,050,628,
323,579,272,491,542,105,849,704,640,536,620,947,929,854,205,489,965,320,183,
273,781,748,811,946,373,999,410,940,701,092,712,825,938,425,786,341,559,848,
825,771,250,479,018,034,593,730,028,937,283,880,132,223,895,412,122,711,762,
516,283,345,274,422,240,007,079,856,987,850,521,548,224,471,956,908,834,501,
620,794,171,530,058,085,644,153,763,000,899,466,622,691,564,204,261,035,895,
036,089,319,510,351,322,140,613,771,744,183,624,837,508,064,041,053,015,468,
763,044,208,258,603,592,071,558,061,143,426,924,472,702,063,008,609,048,036,
511,797,948,724,598,984,765,220,309,655,163,303,531,368,712,880,950,647,475,
584,597,231,693,131,400,830,837,479,222,367,321,380,020,227,378,050,272,334,
008,115,441,783,921,142,399,078,264,231,274,059,024,512,180,309,650,358,548,
969,113,068,053,401,349,374,789,136,667,895,185,584,241,439,948,028,148,894,
162,076,724,190,090,765,350,331,652,299,618,385,573,072,790,640,557,474,920,
462,319,070,594,977,590,685,708,299,202,747,478,798,868,260,660,671,693,060,
048,499,890,405,536,423,881,533,393,343,378,455,700,717,831,683,294,442,043,
471,661,162,055,623,882,908,569,615,691,569,866,007,808,210,959,954,684,086,
458,828,743,356,530,584,582,016,018,279,420,783,431,833,394,518,103,552,880,
290,121,668,892,864,165,061,973,390,840,581,156,796,943,079,234,101,683,296,
635,990,738,177,323,268,932,186,959,464,688,847,737,289,525,916,546,510,764,
276,571,530,814,814,848,962,398,535,229,055,210,544,504,968,432,836,543,979,
653,336,624,839,954,846,524,745,442,753,502,093,365,525,944,963,482,509,862,
172,371,577,587,475,327,516,104,711,233,121,664,210,159,454,238,392,116,583,
711,492,621,008,843,664,716,075,468,521,670,222,002,789,193,507,628,419,118,
367,087,485,602,260,964,161,303,006,785,698,955,190,079,986,452,159,936,443,
994,778,517,002,143,362,719,233,399,417,240,386,653,062,520,429,947,199,140,
129,679,585,957,782,412,348,706,846,545,805,548,664,183,963,558,990,712,330,
846,472,001,498,123,525,509,821,993,724,249,214,597,716,700,056,761,354,001,
724,672,135,465,010,361,303,114,470,497,565,730,734,620,205,957,742,836,806,
562,623,927,777,588,733,292,429,669,134,815,675,565,037,161,440,884,984,457,
496,500,473,120,178,808,081,940,261,569,326,147,633,861,432,523,477,655,525,
686,279,203,045,536,668,168,249,938,640,368,421,317,851,778,430,481,081,892,
311,149,378,405,693,816,321,317,460,646,950,605,393,010,757,957,399,434,188,
752,103,679,157,319,601,591,738,299,403,609,207,593,613,053,987,648,936,005,
368,035,064,239,065,612,121,942,616,953,620,201,141,317,909,836,206,544,319,
482,608,353,121,129,990,723,108,678,206,455,256,606,402,586,220,490,362,257,
277,888,157,372,154,878,631,704,106,583,087,250,739,266,046,348,250,528,967,
991,535,810,977,579,374,158,232,351,759,692,940,098,455,448,762,754,713,403,
181,688,171,624,953,580,277,764,047,961,722,762,724,269,911,905,757,462,512,
343,616,328,966,483,210,713,473,751,880,407,094,768,014,568,367,051,298,855,
112,689,582,388,466,858,747,083,571,751,112,387,656,403,600,584,563,576,037,
259,618,556,398,863,922,143,383,248,239,134,459,232,645,254,336,474,355,313,
480,193,746,349,964,489,379,564,659,643,199,340,741,257,369,157,212,691,326,
317,491,192,152,820,502,117,447,054,675,796,830,048,582,942,936,001,115,199,
127,010,893,784,405,363,029,107,581,278,436,425,056,613,761,358,297,367,379,
576,005,569,926,598,948,169,260,028,213,858,634,129,537,872,300,141,108,487,
241,452,251,703,290,933,225,270,884,533,980,908,711,989,305,466,397,810,859,
807,511,077,252,674,200,099,257,936,034,874,195,604,481,316,952,521,038,116,
361,768,342,274,046,027,808,197,422,702,934,825,579,786,953,642,370,155,196,
784,951,839,287,976,332,689,730,261,163,773,759,426,831,265,783,271,747,406,
019,504,273,858,373,428,663,288,798,786,237,096,593,314,938,255,699,824,719,
169,541,473,508,137,805,936,310,254,965,049,452,996,886,067,201,937,053,382,
004,607,787,185,749,221,978,436,763,440,609,171,927,145,771,442,625,341,398,
513,359,130,240,299,336,852,103,525,331,355,606,703,243,730,509,601,154,494,
376,340,679,543,525,418,389,638,103,872,213,334,672,477,421,629,885,305,172,
039,594,145,321,949,013,019,255,596,801,539,928,302,965,535,075,659,412,509,
838,867,535,661,855,086,719,660,809,183,834,452,580,644,104,346,373,713,818,
805,736,509,408,568,937,248,201,166,353,736,936,049,746,726,359,179,972,490,
412,800,019,372,773,745,976,318,138,192,952,541,084,422,865,849,115,988,750,
320,114,377,954,166,724,075,957,610,135,435,407,965,510,326,033,789,567,206,
531,448,727,651,503,719,658,894,041,366,698,770,528,219,212,554,609,124,737,
586,172,147,956,086,043,914,215,692,276,878,166,976,453,236,960,439,700,602,
332,257,374,427,585,546,428,326,648,191,289,430,198,691,707,521,760,348,924,
252,720,295,742,457,893,076,649,591,013,191,207,404,338,381,467,926,583,537,
495,774,762,247,070,115,766,740,205,281,059,233,221,549,977,564,203,961,586,
492,937,879,613,568,902,553,417,093,624,033,014,663,023,166,687,514,047,383,
989,708,608,207,637,743,169,667,431,874,140,737,447,548,095,936,592,828,303,
314,889,724,625,480,132,876,914,393,367,678,989,011,863,385,080,991,523,142,
564,635,673,373,219,754,148,212,923,429,455,675,440,891,422,963,756,683,168,
564,610,476,971,452,289,403,200,740,501,926,299,292,148,612,959,090,011,613,
240,402,273,226,040,224,367,954,428,289,260,629,497,645,781,368,034,442,625,
048,255,802,155,019,323,256,762,545,285,760,121,526,568,780,924,315,064,800,
270,367,899,681,619,032,711,574,309,810,595,621,774,148,308,944,939,515,333,
848,374,333,473,344,822,421,439,754,758,756,927,136,651,859,520,253,661,114,
244,808,710,801,009,091,897,001,763,583,113,035,576,732,810,699,913,784,130,
516,774,532,543,723,024,025,127,660,919,142,595,924,077,268,418,818,512,876,
817,616,916,342,644,615,944,338,719,105,171,515,821,157,420,871,376,445,317,
129,955,993,374,645,017,280,372,170,049,668,620,930,544,847,035,932,913,179,
871,667,197,075,072,114,408,984,988,562,141,390,459,942,461,282,043,937,495,
220,241,419,211,511,678,884,495,001,423,234,760,521,325,180,477,920,093,491,
353,363,204,297,419,212,168,986,641,307,675,805,905,518,922,165,437,306,170,
786,475,895,446,668,598,081,763,478,863,264,837,250,064,530,921,688,643,487,
431,104,355,794,097,910,240,423,510,397,659,351,716,406,210,667,899,541,461,
639,878,657,773,079,348,409,369,866,425,369,586,812,668,274,691,609,767,864,
881,080,414,703,357,822,767,566,754,400,630,023,459,832,512,496,092,200,755,
446,140,175,613,231,948,143,694,435,242,927,845,635,062,928,658,984,549,543,
726,614,182,283,183,514,788,611,436,247,027,711,388,621,692,658,813,990,244,
524,456,427,628,894,404,722,395,675,050,560,564,013,296,038,858,562,904,258,
939,042,293,062,022,121,545,040,622,839,576,527,879,679,847,579,396,911,275,
759,028,568,571,726,999,216,775,792,160,294,547,255,640,530,763,443,658,000,
902,537,351,601,694,251,526,023,899,061,029,870,828,222,739,756,715,235,649,
654,127,143,772,589,778,654,618,206,657,870,150,003,538,708,657,590,000,824,
365,509,304,883,743,028,434,377,283,562,080,847,840,578,387,905,316,126,819,
492,653,515,077,025,208,943,214,980,737,974,930,090,975,958,179,639,340,071,
712,004,566,752,619,820,341,695,576,940,227,308,852,324,258,758,970,365,136,
565,128,294,582,600,934,369,096,170,715,902,398,930,949,408,108,428,305,009,
955,473,432,055,309,785,081,042,425,767,632,365,866,683,982,903,188,552,488,
240,774,250,409,964,284,360,155,885,701,231,507,836,090,181,720,296,416,119,
668,983,425,071,587,077,226,580,429,918,094,581,983,412,717,761,047,620,242,
614,942,665,075,165,047,088,662,208,365,607,179,177,942,378,911,841,308,820,
649,565,565,415,105,298,791,069,597,980,024,683,833,162,451,338,752,933,391,
271,389,505,332,632,906,299,235,450,779,019,309,324,601,635,089,035,994,412,
190,368,813,456,145,982,385,457,547,063,246,127,426,355,525,428,012,328,983,
880,348,920,969,321,842,195,813,049,769,178,573,855,745,758,963,193,437,025,
171,056,562,575,141,558,068,848,017,843,731,763,979,899,978,829,123,462,828,
258,199,313,389,819,141,279,392,587,535,289,377,982,289,671,013,672,509,216,
026,609,017,246,809,574,961,728,605,827,960,906,630,011,467,680,497,526,051,
202,630,219,818,704,107,967,798,294,884,839,433,153,574,467,359,755,928,213,
853,758,265,661,008,339,058,338,608,780,261,626,346,150,811,579,509,622,277,
618,931,076,119,943,950,514,081,465,038,859,747,926,619,172,158,040,961,953,
118,030,063,087,118,691,761,060,681,761,894,393,774,100,067,566,716,687,639,
119,041,828,221,076,061,437,821,069,886,420,440,257,039,129,862,090,481,608,
328,084,897,346,912,644,317,852,403,634,615,600,646,537,082,078,274,432,075,
183,650,162,323,934,005,899,410,131,925,344,960,589,215,185,647,682,396,381,
022,988,170,950,544,302,724,169,246,737,012,165,400,058,115,871,962,491,343,
970,044,404,806,178,701,212,213,354,953,396,237,438,829,060,360,917,559,768,
270,289,570,999,213,454,072,699,246,453,725,536,405,097,051,014,148,964,825,
072,474,325,432,507,890,998,504,605,526,246,883,254,953,265,659,655,421,261,
714,082,952,207,023,593,792,433,107,731,793,099,875,942,279,223,063,383,242,
556,581,367,198,165,659,899,022,506,289,355,442,937,459,959,298,170,224,430,
563,156,035,312,941,060,983,009,837,333,303,975,673,963,708,629,631,979,931,
563,906,881,603,079,848,215,219,126,390,552,176,004,019,372,008,219,418,895,
827,486,794,810,029,221,921,243,162,976,679,392,019,878,679,470,227,210,571,
667,374,116,298,593,416,499,716,149,440,624,594,235,062,805,148,180,433,656,
162,334,149,321,407,991,466,685,200,972,386,907,080,001,353,559,376,050,280,
042,995,672,688,639,222,743,402,332,199,959,545,061,841,961,748,043,347,331,
024,295,164,453,617,530,191,973,585,157,264,096,876,169,930,819,027,010,067,
988,926,949,500,223,911,176,186,070,779,231,227,791,033,591,151,951,026,333,
859,996,901,788,417,859,842,348,177,888,012,711,275,374,876,013,411,844,747,
436,496,422,419,245,271,749,063,305,138,026,855,044,097,560,740,920,697,230,
788,293,935,334,591,587,924,940,090,239,923,748,988,486,527,419,516,310,983,
450,699,021,995,515,548,169,137,100,657,117,339,544,894,469,896,345,935,334,
537,740,164,677,994,153,482,358,693,764,884,023,389,036,772,562,752,678,505,
237,021,810,072,445,767,622,614,191,185,736,368,485,130,556,907,062,420,701,
955,481,618,968,838,521,377,991,636,928,468,168,681,183,885,744,836,171,590,
558,993,623,034,893,521,699,977,781,779,584,785,131,593,116,180,117,437,269,
202,025,477,489,112,343,425,919,184,612,261,160,280,333,713,770,276,431,759,
157,322,398,371,227,199,594,397,551,089,560,892,657,654,093,805,866,122,481,
729,108,211,570,374,717,587,622,917,440,996,194,075,111,570,604,769,180,769,
818,316,885,905,754,364,535,198,253,922,162,036,844,057,920,596,217,759,337,
824,589,827,550,200,933,662,743,769,589,930,420,785,848,734,468,890,843,150,
905,628,011,135,264,805,515,678,141,814,319,273,433,298,842,131,881,156,712,
025,913,743,230,135,296,480,921,519,485,704,522,068,322,137,848,615,883,842,
951,642,346,233,366,547,734,481,054,200,768,674,945,604,657,330,509,519,650,
659,725,643,767,916,571,561,474,520,455,871,760,976,786,804,880,532,389,297,
761,675,616,426,894,518,942,996,424,125,110,442,726,615,075,202,439,375,696,
395,404,823,327,096,921,131,452,117,618,180,788,701,603,670,297,558,958,820,
179,040,713,784,878,910,342,012,748,681,917,045,078,438,608,338,062,546,035,
683,892,878,568,116,068,980,140,690,562,550,408,955,301,585,149,305,119,620,
746,508,197,533,451,981,871,359,957,501,002,645,082,189,838,086,280,520,679,
074,529,790,803,825,923,333,685,351,086,544,937,663,108,310,071,069,200,163,
652,308,612,644,258,938,361,624,150,426,123,423,831,384,222,508,403,440,597,
836,731,741,038,274,470,488,890,177,805,759,877,503,851,150,137,987,266,492,
488,870,679,577,348,230,855,211,959,650,878,846,294,498,742,227,149,215,804,
243,412,878,956,558,549,924,545,184,193,656,697,671,978,262,084,541,842,122,
578,212,495,199,661,671,868,893,697,585,707,169,713,708,009,587,553,821,089,
633,561,472,670,004,801,003,472,470,268,571,647,813,489,204,076,466,850,102,
139,063,401,822,306,736,966,373,412,825,355,145,413,314,220,503,466,522,669,
083,070,314,650,815,374,669,442,200,592,757,792,268,355,959,597,312,224,196,
730,391,525,849,659,660,040,577,573,006,236,630,573,248,311,919,688,025,996,
848,718,031,348,766,940,028,266,684,508,442,955,722,977,558,209,278,767,113,
395,080,626,518,124,332,784,798,980,309,517,989,168,062,322,214,538,188,274,
066,391,336,704,167,741,457,531,950,270,261,912,186,635,302,696,484,344,315,
687,640,486,203,927,400,935,277,295,571,938,134,453,529,621,303,108,957,101,
360,444,179,530,456,780,278,527,691,479,333,603,559,334,073,856,211,998,886,
525,827,372,401,505,183,375,254,052,615,692,848,075,752,564,548,526,083,618,
022,461,205,070,724,472,768,673,976,264,496,950,515,807,103,325,482,487,939,
058,268,903,317,141,678,567,685,355,853,008,490,018,252,057,656,251,960,257,
575,818,951,820,978,920,567,774,522,128,878,846,910,437,230,519,842,983,772,
520,122,892,526,910,041,664,072,237,682,502,550,842,097,077,960,707,251,367,
969,812,518,706,062,780,821,767,540,224,439,352,866,176,338,181,929,708,800,
631,629,771,095,491,158,151,617,172,628,957,066,766,181,948,014,341,050,201,
540,476,530,381,642,468,261,672,077,765,988,504,196,202,445,225,278,990,051,
566,259,427,998,904,383,866,775,006,911,345,074,467,762,208,589,023,952,152,
820,893,467,322,028,107,632,723,655,236,161,978,980,591,176,244,796,567,817,
123,493,550,828,469,569,479,977,950,806,149,230,602,564,932,886,390,024,141,
423,310,738,667,345,682,104,512,838,533,442,114,013,896,547,596,383,279,060,
294,881,886,406,298,127,647,352,319,819,242,704,907,905,078,748,965,440,152,
392,784,045,943,876,056,560,529,597,315,147,282,432,654,009,932,260,756,501,
049,791,738,471,710,487,920,345,149,163,026,009,476,415,087,028,892,832,745,
817,165,275,920,007,669,195,896,543,916,736,546,408,985,726,936,045,590,139,
396,205,097,030,330,537,878,641,237,074,592,361,669,776,445,686,320,095,461,
681,535,925,173,430,333,320,744,825,799,182,356,582,974,030,300,419,478,279,
957,313,124,184,942,855,655,029,618,688,238,342,088,425,377,578,240,768,280,
182,053,706,169,305,965,455,388,901,969,802,412,741,452,586,335,730,140,847,
533,184,945,864,910,864,845,183,250,626,057,771,536,545,929,357,801,479,243,
412,097,059,759,450,425,256,934,960,507,692,134,000,957,439,553,846,102,961,
650,298,057,262,500,242,529,558,956,776,219,381,439,162,255,133,976,600,313,
682,174,408,987,922,340,880,261,126,081,660,092,576,686,710,233,977,150,600,
079,966,585,423,007,729,558,867,532,140,782,051,698,327,308,415,475,775,867,
835,487,187,288,329,174,350,682,537,377,613,948,468,168,076,495,562,444,986,
629,659,545,844,128,213,892,462,333,847,247,099,859,115,166,351,937,085,189,
126,108,857,755,531,868,062,633,517,781,050,502,737,166,611,126,149,177,503,
370,702,277,506,009,072,076,030,850,878,865,387,748,499,724,485,342,071,238,
772,573,358,962,831,162,344,382,068,101,385,889,923,769,240,526,720,426,639,
090,250,368,433,709,493,415,780,996,088,743,717,840,007,675,363,136,744,884,
617,804,999,948,566,158,719,821,080,080,855,285,872,235,810,887,188,526,724,
037,755,385,254,776,303,856,201,283,078,554,530,067,277,347,148,436,250,894,
643,487,037,494,415,583,031,961,209,322,958,422,287,331,537,415,686,897,371,
168,182,198,230,032,945,033,152,844,325,256,777,969,018,468,992,305,532,638,
538,543,934,693,280,908,179,951,105,763,205,117,562,564,653,723,097,711,574,
454,364,213,582,431,748,534,737,237,106,667,998,863,083,538,094,949,041,106,
791,309,573,724,044,423,359,567,107,198,596,353,777,011,062,620,493,727,500,
437,330,075,046,039,984,247,683,766,275,577,219,798,410,767,111,413,311,401,
405,239,405,933,491,127,482,486,799,396,369,461,302,151,693,572,680,865,251,
328,291,271,156,369,019,862,492,180,039,082,339,850,457,104,535,686,924,629,
024,206,827,838,158,453,466,516,745,710,749,293,944,440,435,436,008,727,214,
281,962,910,425,981,687,708,753,447,694,996,788,431,408,631,051,264,351,738,
104,432,907,967,248,788,928,452,914,296,251,740,450,930,048,611,998,867,193,
990,909,061,265,295,497,637,121,664,571,131,148,434,262,808,404,881,047,073,
696,750,139,230,039,622,930,862,930,610,494,799,612,095,119,084,805,363,603,
856,380,695,535,126,857,874,745,773,305,895,746,151,060,363,133,238,156,518,
878,108,512,761,200,590,991,599,866,851,111,799,030,092,481,493,981,421,576,
377,877,533,731,092,702,081,853,757,248,588,894,138,785,913,643,250,579,688,
503,544,570,876,095,070,315,528,393,852,988,026,190,551,986,470,260,621,816,
073,933,192,277,650,272,109,471,592,998,265,867,686,006,707,931,286,075,113,
170,861,963,237,669,222,774,494,152,125,418,801,024,228,618,122,200,828,197,
283,276,723,603,279,768,046,588,204,714,896,055,895,334,054,319,579,708,660,
131,779,268,767,021,705,929,826,096,406,080,157,168,787,954,709,724,613,306,
644,716,471,018,917,208,383,070,108,950,055,642,709,201,029,324,843,865,973,
485,495,759,829,673,570,600,319,439,304,740,823,297,002,728,920,651,883,159,
149,950,472,454,052,185,704,401,505,701,400,913,248,305,364,519,388,958,918,
675,963,686,289,157,027,134,184,371,602,727,591,438,829,342,691,019,189,865,
580,833,589,589,860,619,403,891,383,870,300,627,145,821,869,493,210,403,684,
985,960,520,722,553,954,282,794,108,930,811,194,734,439,647,599,357,455,414,
911,864,506,597,809,402,706,619,583,354,836,231,282,229,463,753,496,453,559,
629,015,022,627,176,391,634,234,800,470,510,784,265,562,451,735,183,243,294,
986,125,203,256,057,417,203,922,408,710,548,452,702,344,425,263,088,975,010,
301,493,311,065,933,342,952,910,006,222,202,877,249,989,530,587,154,641,072,
085,162,021,623,477,055,576,915,652,240,202,082,123,301,018,072,223,492,467,
331,071,640,044,065,171,128,781,500,187,041,952,095,106,000,741,336,424,321,
729,798,985,983,674,269,307,993,932,829,218,541,249,602,610,118,119,389,047,
653,416,804,700,275,162,264,277,660,080,429,686,028,801,241,591,281,961,135,
520,070,623,641,157,272,395,402,564,302,638,825,121,068,102,244,978,114,142,
311,067,731,147,486,098,025,608,464,371,939,971,733,543,750,674,020,690,120,
335,329,283,453,706,584,060,328,512,207,756,833,501,651,799,592,403,287,574,
249,795,621,677,831,958,657,750,756,941,009,837,573,230,294,281,610,282,495,
413,235,659,631,085,552,097,560,800,772,233,755,855,075,922,071,070,952,549,
613,110,066,945,484,525,282,805,128,139,949,577,149,479,488,157,276,919,032,
383,790,855,860,063,213,740,844,837,358,553,548,982,888,885,893,377,560,437,
145,097,631,207,590,942,208,155,476,531,095,977,229,536,012,100,151,702,617,
263,711,966,025,176,335,758,843,440,557,711,308,376,619,201,703,999,869,979,
740,104,531,421,269,233,041,501,565,135,241,343,172,208,918,209,033,949,003,
568,694,892,658,663,517,500,179,584,772,725,951,592,405,256,730,439,405,184,
547,068,960,457,170,969,096,745,412,168,272,999,385,177,545,955,971,211,674,
856,432,802,810,503,602,537,942,108,162,448,187,722,640,728,691,303,840,213,
291,899,001,308,327,686,791,398,447,807,366,169,302,422,492,530,421,045,042,
272,609,794,551,532,166,089,932,746,762,288,158,553,225,634,888,710,309,039,
793,473,482,439,617,782,645,037,684,192,992,005,620,994,291,882,464,136,078,
832,300,109,168,720,115,467,304,370,245,805,269,529,217,493,481,801,161,237,
311,322,595,139,388,561,156,895,906,962,460,324,260,198,595,381,484,187,687,
846,339,127,147,767,010,565,116,390,746,125,394,775,358,781,219,051,296,265,
712,836,573,561,615,429,728,832,599,373,165,423,594,172,881,775,610,411,429,
982,355,141,778,547,350,993,564,993,413,099,521,590,372,034,397,925,329,295,
266,842,311,135,194,537,073,780,004,288,709,094,398,617,513,813,532,978,583,
959,241,157,842,342,291,969,922,406,627,442,419,397,720,782,275,319,446,467,
434,201,840,521,796,519,304,425,894,192,342,285,061,001,874,081,627,667,251,
769,207,043,986,072,186,801,542,665,422,065,361,205,653,785,928,763,639,360,
036,546,676,952,029,834,965,301,885,006,105,844,982,435,136,918,239,936,193,
307,835,006,477,971,370,668,466,996,551,566,249,064,456,366,755,538,870,249,
570,588,425,933,134,489,859,339,673,881,831,174,880,913,485,733,625,529,425,
210,177,045,903,654,896,733,180,724,108,503,677,704,994,277,334,738,423,357,
896,898,978,461,912,214,056,964,219,818,612,450,919,424,546,829,599,962,699,
737,299,791,906,890,763,449,828,046,336,338,696,510,650,090,902,911,208,908,
750,809,313,564,741,659,331,711,263,841,496,017,413,387,746,348,387,798,422,
356,134,444,250,416,494,451,489,406,147,790,237,301,661,280,975,594,371,661,
531,270,043,212,608,210,985,462,061,930,876,665,429,923,896,034,465,949,399,
277,465,459,617,552,471,757,364,259,816,370,929,990,977,272,328,342,550,010,
146,120,327,782,736,327,831,718,222,412,073,168,539,849,326,071,683,169,755,
624,187,419,717,302,216,869,760,309,319,677,054,442,523,989,589,709,956,217,
663,978,254,963,974,211,731,309,953,810,974,010,585,662,300,295,500,870,481,
635,800,171,265,475,831,571,185,363,087,844,891,218,045,854,879,498,565,850,
323,893,132,626,653,693,802,062,451,593,565,350,962,634,255,676,412,273,207,
733,791,219,272,776,731,850,753,526,552,096,805,676,546,815,179,748,874,962,
272,232,612,041,890,048,018,130,399,042,357,033,524,899,725,838,318,062,091,
688,057,379,538,101,248,566,994,445,614,912,167,499,461,323,961,363,670,173,
952,347,119,272,448,741,087,452,490,684,986,707,831,313,273,330,832,656,496,
575,394,617,733,015,326,723,843,992,817,954,490,496,307,129,255,414,343,922,
866,800,487,843,900,127,992,241,895,068,527,416,493,807,086,840,896,523,555,
788,955,747,735,692,042,736,080,131,472,971,166,436,450,884,475,142,563,566,
464,885,633,490,168,708,024,902,094,139,426,888,203,962,323,978,846,615,805,
495,494,108,199,011,369,947,047,020,276,358,284,178,883,200,468,789,772,691,
920,925,651,374,157,994,784,535,902,897,001,156,049,770,832,265,489,990,164,
806,103,328,780,086,405,080,124,875,657,228,248,580,735,848,040,770,448,903,
391,334,196,341,195,317,448,750,951,389,001,868,173,478,303,257,869,530,503,
089,870,678,825,921,948,369,074,073,185,357,904,696,624,782,836,377,615,815,
604,285,248,360,989,274,261,875,830,796,964,479,248,722,526,830,595,981,754,
164,749,255,271,917,722,080,265,227,598,612,379,923,284,176,294,716,361,850,
291,824,113,386,210,479,598,880,254,888,586,461,700,010,495,024,889,403,205,
500,180,836,888,320,640,079,338,819,479,118,114,350,137,217,765,230,246,900,
677,328,251,684,096,051,022,782,781,321,902,946,323,407,575,100,419,509,849,
516,118,782,751,182,216,309,960,117,614,138,245,676,605,028,619,933,139,872,
901,403,598,204,634,855,096,349,180,032,485,549,208,721,803,235,474,233,066,
665,960,504,254,860,587,389,273,193,032,929,145,039,342,376,226,675,897,106,
983,908,323,206,231,644,091,173,393,667,500,063,132,193,068,673,651,552,711,
552,293,103,102,432,622,418,649,784,980,276,679,122,348,376,505,687,695,879,
764,345,469,842,277,014,576,302,427,291,757,958,150,133,358,579,345,252,970,
073,051,865,804,998,371,295,584,550,266,371,337,179,408,960,891,522,929,552,
816,909,464,305,993,210,187,081,113,401,763,174,773,982,661,863,882,548,100,
544,001,220,000,473,974,445,036,130,739,241,173,585,383,032,641,460,221,069,
658,389,533,181,345,108,260,331,028,461,370,025,297,539,016,300,425,397,164,
671,215,948,412,043,916,309,564,727,494,846,564,920,084,006,687,012,716,195,
304,463,746,624,216,500,209,017,640,679,618,692,874,522,202,080,712,591,508,
828,615,560,894,523,980,208,381,063,870,807,863,657,527,827,875,930,035,804,
048,641,574,911,848,539,080,869,438,411,342,996,285,341,867,023,832,265,636,
359,316,398,879,074,579,627,881,355,421,652,004,336,002,031,926,832,550,167,
564,523,600,788,906,574,119,443,895,137,576,982,197,909,631,925,979,098,400,
601,062,130,927,127,963,059,419,950,791,665,423,009,531,905,849,062,566,822,
217,802,749,776,025,782,895,303,035,969,782,054,432,706,023,407,932,644,596,
454,873,636,263,722,260,107,651,206,262,960,728,508,797,803,012,686,090,553,
482,141,173,694,325,966,935,555,013,404,454,080,523,633,119,458,962,084,171,
118,178,583,440,146,306,673,672,611,237,761,475,268,379,843,613,833,775,925,
609,982,328,909,560,167,422,384,618,179,578,015,551,498,040,537,483,519,916,
241,864,481,399,036,499,475,499,507,944,203,723,284,547,458,502,998,066,234,
305,605,257,829,285,430,086,105,046,547,456,086,187,245,629,664,886,618,507,
102,942,400,844,788,154,814,491,725,327,234,152,410,249,255,742,626,625,089,
139,702,697,419,760,286,919,201,350,838,297,497,822,433,855,992,867,873,861,
917,867,741,874,875,670,657,762,376,623,704,737,030,613,315,047,084,529,607,
894,258,116,230,492,741,799,710,591,911,903,828,901,281,247,812,513,076,128,
256,695,044,677,306,382,836,759,446,526,458,132,909,116,686,293,435,062,815,
231,407,606,367,125,926,480,469,792,051,060,637,110,706,018,922,749,206,596,
037,807,329,524,760,140,378,103,340,432,069,339,677,899,168,768,367,496,762,
647,380,122,089,534,872,897,878,238,905,681,102,950,183,575,726,867,236,570,
850,222,066,910,068,218,696,197,772,392,638,986,520,114,761,712,748,300,366,
111,904,724,498,280,107,228,193,060,960,792,312,736,635,266,462,754,196,275,
019,326,143,003,210,606,401,662,149,622,974,872,589,894,486,423,260,772,150,
232,826,030,097,463,022,240,438,089,982,864,780,692,133,106,290,065,609,549,
442,992,051,116,619,503,434,325,331,554,013,871,574,239,578,259,589,319,707,
334,968,244,942,735,713,450,049,833,238,013,324,992,239,108,491,774,017,652,
206,089,379,914,641,145,270,800,579,578,946,737,668,746,109,573,706,182,333,
651,140,635,500,154,078,900,434,259,379,778,955,220,505,396,122,889,283,664,
227,699,016,612,009,901,998,763,454,472,878,517,730,003,739,397,150,787,813,
733,677,042,183,651,126,970,554,331,706,119,866,321,271,976,152,100,231,161,
101,238,526,847,417,106,494,094,550,835,951,976,771,971,970,473,826,769,955,
234,556,550,665,113,396,355,285,341,507,360,692,917,286,028,539,035,410,274,
809,050,459,500,586,936,307,452,557,821,577,981,234,972,920,630,810,211,518,
037,573,535,537,777,121,025,583,460,385,439,538,421,231,360,322,512,479,069,
373,230,614,311,214,398,737,419,777,516,407,988,499,303,700,206,830,229,748,
772,219,798,339,662,353,292,509,052,695,042,973,573,800,792,857,112,979,035,
930,109,348,589,349,986,943,884,194,506,300,478,773,927,559,194,469,000,288,
177,321,619,635,493,741,780,686,084,274,574,366,060,307,223,173,564,662,273,
839,865,981,868,037,403,007,097,188,827,423,665,614,948,233,392,372,067,851,
194,802,302,518,808,755,978,718,814,825,760,153,392,517,966,680,601,096,888,
188,071,858,634,404,463,624,539,704,367,115,848,389,550,874,964,704,933,060,
068,415,444,183,584,470,365,806,660,063,960,408,644,647,869,376,498,463,459,
264,473,335,870,665,531,000,033,503,215,093,162,691,480,424,299,500,178,094,
953,300,088,689,460,948,908,851,129,153,707,199,333,507,917,713,434,369,243,
856,342,426,675,153,029,895,623,573,324,397,757,271,346,256,240,447,376,951,
003,847,471,223,994,793,489,133,121,316,978,291,596,685,247,764,220,543,521,
091,426,870,490,046,866,814,693,486,546,033,664,037,984,810,630,707,302,868,
336,660,240,904,892,398,802,678,366,672,309,900,122,434,277,085,919,928,928,
266,386,533,230,534,343,078,830,569,084,317,237,112,666,611,475,054,995,997,
919,518,848,191,892,226,973,539,306,266,140,366,860,311,540,440,395,554,263,
347,342,016,023,312,194,468,690,736,976,347,807,014,171,838,481,018,941,771,
664,721,748,727,707,574,710,371,526,041,436,897,128,292,279,830,651,484,827,
179,548,179,591,677,630,048,714,534,641,472,599,687,799,505,343,915,956,401,
279,453,935,523,786,120,657,907,946,050,687,298,186,289,630,562,330,528,556,
094,563,726,781,360,373,857,387,288,058,033,625,750,992,403,913,831,984,397,
774,301,370,637,958,577,809,154,047,307,567,733,197,778,407,010,501,857,455,
568,577,085,776,971,818,430,463,239,117,365,169,938,423,808,948,307,547,491,
448,080,396,889,610,101,918,984,647,142,510,548,776,103,852,953,944,143,040,
620,058,431,965,848,106,311,416,157,462,671,167,676,048,815,123,692,777,300,
859,528,518,807,962,461,668,817,246,888,079,242,743,758,901,391,083,466,759,
463,400,059,710,903,597,177,090,018,662,245,865,891,412,974,283,115,423,498,
956,698,061,989,444,490,291,199,692,547,902,716,002,237,692,721,940,795,473,
331,516,463,094,047,406,137,295,921,224,667,918,384,238,332,796,747,756,139,
169,752,163,569,552,281,693,454,760,202,861,170,990,691,917,322,143,134,315,
499,381,024,179,269,107,877,105,927,593,201,878,814,404,112,815,610,707,523,
392,844,323,381,741,694,470,640,898,140,255,220,503,310,802,853,118,662,991,
761,059,916,318,670,272,429,740,401,692,735,190,199,047,331,186,338,947,720,
130,792,704,616,698,528,124,637,453,281,936,075,225,427,628,995,435,978,042,
436,001,815,265,336,175,430,404,791,776,796,064,582,105,217,771,096,847,952,
780,394,272,839,816,880,314,648,582,040,338,566,121,406,131,471,343,006,003,
922,563,452,726,773,333,490,689,190,178,034,072,297,919,092,193,138,014,566,
843,102,441,031,931,118,232,815,329,824,256,347,224,271,691,040,831,038,647,
862,116,064,376,435,735,924,516,010,633,304,951,387,398,439,667,546,284,972,
712,500,440,472,202,871,053,880,435,598,272,115,180,745,441,808,590,400,888,
760,498,805,293,351,950,178,875,180,253,839,900,576,256,660,339,158,877,399,
246,125,985,737,558,584,857,915,892,776,064,344,766,090,520,713,250,388,031,
645,656,681,639,395,152,513,872,355,186,008,171,577,668,839,983,989,856,722,
904,305,095,590,464,120,392,310,890,654,979,396,519,408,081,188,966,265,353,
716,689,558,013,429,586,422,771,217,704,981,723,212,707,085,862,849,830,052,
278,317,678,171,082,343,126,116,645,532,580,776,121,275,244,396,903,260,115,
535,861,477,892,195,718,526,260,896,265,946,550,767,237,879,632,012,408,455,
145,696,324,347,940,613,278,035,317,941,471,782,664,098,490,157,406,160,771,
227,865,231,165,162,992,762,837,492,760,843,770,410,044,821,900,478,803,400,
783,853,189,128,578,846,378,743,065,496,557,802,581,253,073,200,606,545,723,
900,200,901,262,363,380,525,243,908,943,666,291,690,397,753,125,214,754,566,
409,685,271,611,853,467,139,828,980,036,213,749,977,424,616,439,826,301,382,
994,597,711,923,410,735,126,606,420,471,171,702,690,837,589,246,550,115,308,
567,935,151,084,226,034,018,006,210,523,652,698,111,246,261,731,227,765,677,
552,504,461,665,043,829,738,496,126,169,191,076,764,892,405,220,148,870,361,
241,111,615,181,986,063,701,557,487,275,588,755,035,775,544,230,855,639,355,
157,440,135,724,797,849,139,872,345,265,767,507,861,720,139,829,684,683,486,
032,254,811,414,021,152,229,772,405,116,284,111,472,400,941,708,493,547,646,
602,086,066,936,362,014,106,366,096,352,799,921,640,613,679,238,784,728,110,
769,690,824,875,640,910,412,386,990,159,308,826,452,000,869,212,928,676,777,
192,474,664,047,775,749,218,078,125,459,123,209,575,556,598,639,836,883,581,
616,670,986,074,587,058,798,985,291,274,753,293,387,651,553,086,044,479,470,
801,602,434,076,539,332,501,235,954,691,705,089,083,296,843,679,125,748,614,
578,157,586,443,406,375,294,630,989,928,736,023,450,244,201,655,207,418,670,
544,616,664,276,880,278,728,223,419,079,959,599,130,603,432,187,134,425,070,
266,110,510,115,554,022,153,909,972,917,449,865,724,151,203,285,086,624,180,
755,185,699,607,468,246,407,383,982,646,119,908,476,316,130,866,259,360,535,
079,727,297,677,372,895,553,227,817,258,385,586,190,810,347,409,597,436,316,
085,514,754,898,361,256,294,722,127,887,008,704,854,845,766,793,060,458,702,
061,364,221,882,064,380,978,743,407,576,057,009,652,804,259,268,819,085,216,
509,718,761,579,174,035,558,401,502,611,300,348,778,836,808,753,658,817,329,
237,035,050,387,828,262,762,651,649,926,359,540,686,756,847,108,866,584,622,
432,282,135,583,442,279,360,409,358,396,080,625,973,393,734,249,656,052,226,
319,503,761,846,532,698,152,629,243,979,434,994,027,202,690,470,712,242,138,
250,386,532,815,630,099,659,143,534,345,244,104,156,603,915,405,594,038,506,
760,040,735,180,480,564,024,961,710,518,570,396,299,708,850,353,535,597,374,
000,950,388,458,965,311,882,246,056,018,449,178,647,708,646,499,095,744,163,
274,078,321,752,785,400,103,807,888,415,986,144,171,361,902,606,502,324,306,
470,814,599,102,320,003,272,193,186,651,767,966,860,297,785,750,704,600,214,
617,888,737,427,758,536,825,990,215,974,024,311,745,518,694,010,238,804,836,
654,592,116,471,688,563,454,501,917,968,090,233,999,048,405,138,312,964,190,
304,645,457,583,243,332,444,918,273,217,200,651,850,114,073,826,431,107,774,
547,611,341,749,552,679,977,025,134,294,735,789,619,207,834,173,972,321,107,
942,635,999,663,037,109,044,619,679,533,712,433,264,777,859,385,524,836,781,
965,781,400,545,295,262,167,779,837,896,998,191,361,999,600,198,821,713,095,
386,941,540,678,402,226,370,894,416,962,742,536,857,247,116,234,997,874,416,
340,867,807,659,426,514,335,748,796,861,686,611,463,316,517,952,286,598,658,
622,140,382,647,853,855,041,914,714,760,003,272,930,415,475,306,245,217,436,
043,098,617,696,909,380,688,815,716,103,676,112,481,765,037,982,121,295,797,
547,238,014,127,329,587,397,927,779,127,137,521,512,064,147,048,682,782,314,
082,660,724,398,103,056,651,258,313,996,451,513,348,394,037,476,279,074,290,
714,893,304,546,894,983,567,812,543,697,304,558,108,635,604,053,876,679,897,
608,806,680,274,006,071,745,113,638,884,478,390,337,954,411,168,343,868,814,
216,250,851,473,720,572,644,555,809,801,113,680,168,675,183,680,701,199,292,
576,308,299,796,702,322,045,587,483,622,583,239,039,969,253,775,361,719,354,
496,044,842,222,050,378,820,687,221,859,044,371,265,641,227,861,188,993,436,
472,450,703,393,948,944,597,602,230,537,488,892,241,316,177,657,547,499,813,
588,030,777,571,545,508,908,670,855,295,266,914,474,822,892,447,576,889,236,
136,566,673,780,263,456,740,101,397,445,330,809,639,067,726,748,664,089,131,
307,465,673,975,681,344,184,642,968,268,042,178,850,552,319,225,700,853,947,
558,612,681,664,282,523,366,764,505,987,323,728,299,742,691,300,710,989,058,
718,482,097,662,291,395,327,217,160,003,935,660,173,496,730,513,140,450,776,
978,867,931,782,418,469,786,294,732,126,344,882,726,283,363,219,970,748,373,
571,187,301,744,041,494,443,802,639,108,085,664,785,342,581,076,118,802,674,
666,690,380,744,665,369,092,203,432,753,645,564,570,715,352,642,420,460,310,
512,231,341,025,722,008,168,288,538,818,125,359,773,001,747,990,716,696,330,
595,846,446,023,330,021,476,377,100,348,631,962,128,866,099,793,291,888,380,
623,843,944,594,513,092,801,943,188,971,904,974,601,752,027,304,989,107,916,
860,005,101,007,269,933,962,793,362,733,306,852,975,595,062,711,943,646,937,
358,530,430,266,303,270,655,193,687,445,170,951,803,971,322,437,826,346,424,
253,872,074,749,439,018,608,573,168,634,825,912,097,491,304,595,370,710,777,
590,517,632,727,809,430,846,123,817,629,855,656,249,078,757,772,813,015,231,
994,982,704,367,731,491,280,017,039,395,029,855,907,195,457,852,825,616,878,
086,088,623,412,323,992,879,576,894,908,773,802,775,292,821,765,457,473,737,
200,394,278,228,600,466,741,128,919,094,724,138,480,180,806,858,490,822,575,
457,241,054,914,991,149,122,549,348,634,641,555,073,195,243,373,582,070,343,
159,922,688,620,608,361,636,165,978,459,441,117,146,927,830,741,767,446,451,
601,921,038,923,964,437,605,775,906,863,363,029,812,072,852,601,215,487,707,
016,424,900,034,541,142,960,674,218,514,397,375,792,315,763,454,142,903,687,
107,044,028,100,246,770,085,451,040,913,957,103,229,462,007,535,486,145,798,
119,532,176,309,041,161,977,468,166,082,564,298,495,131,542,252,755,636,005,
753,720,485,679,810,139,540,500,219,630,106,437,113,210,356,668,956,307,331,
234,302,497,699,791,992,128,057,939,555,681,234,350,775,985,716,831,598,736,
651,675,559,110,673,945,255,172,969,242,993,880,324,551,995,275,780,085,864,
495,319,108,872,553,068,066,256,739,095,992,388,827,075,355,953,171,438,277,
413,307,022,472,758,425,018,180,757,616,286,077,429,527,089,648,479,366,077,
810,143,601,968,814,139,847,454,029,827,422,325,010,016,218,053,029,913,681,
272,242,670,114,478,167,256,729,202,239,935,325,450,852,873,150,333,621,261,
103,406,816,550,884,680,263,923,434,296,948,523,181,818,472,930,070,016,864,
791,925,239,954,722,944,558,292,682,611,684,306,831,064,521,514,219,691,693,
576,752,837,457,981,606,949,280,606,784,438,670,406,557,235,637,239,199,516,
734,946,788,154,229,419,187,842,526,677,443,660,116,610,913,952,163,570,092,
733,142,888,009,510,558,322,629,577,394,571,881,312,392,055,715,384,006,788,
656,002,544,116,060,970,510,059,422,964,712,578,795,243,516,583,772,688,909,
845,221,595,446,030,623,963,977,705,864,010,711,096,488,955,151,834,317,300,
346,377,225,944,888,629,457,666,561,609,160,792,457,595,336,121,711,433,328,
665,189,904,053,708,104,084,164,006,299,122,882,267,047,834,624,116,848,542,
505,478,528,712,750,912,991,040,546,077,809,730,787,274,924,883,180,029,637,
073,411,152,203,083,837,120,587,147,363,989,638,991,198,182,214,123,253,519,
246,209,880,223,537,897,198,151,213,443,649,765,061,679,495,389,908,756,552,
373,224,191,208,724,286,015,655,807,101,579,606,115,929,813,227,854,291,820,
078,439,109,800,505,983,415,665,702,144,207,587,012,034,718,398,808,857,424,
006,255,762,339,094,134,169,591,852,070,042,504,131,427,009,002,433,416,339,
381,523,682,243,190,532,289,407,185,852,123,989,320,056,547,482,804,443,448,
738,133,043,226,328,045,071,299,117,031,319,391,005,460,249,343,880,137,084,
905,759,363,473,467,908,617,511,274,314,830,489,241,933,480,572,365,085,759,
727,112,159,231,149,794,086,828,204,385,476,668,263,650,239,901,191,694,595,
594,989,741,506,979,484,156,948,506,959,831,993,137,301,292,647,161,662,632,
472,716,745,493,385,633,906,796,011,487,648,735,236,850,966,201,900,562,586,
053,880,592,010,480,444,252,582,270,110,411,288,840,556,729,895,473,734,931,
523,063,801,915,246,865,946,161,756,692,393,181,845,414,457,338,747,048,230,
196,591,563,539,326,213,776,087,815,020,036,613,064,570,279,998,591,604,419,
101,826,634,465,112,969,303,389,796,810,772,122,256,429,573,049,106,319,998,
794,329,612,924,280,632,359,451,256,637,410,882,373,269,470,808,263,739,854,
633,663,293,344,536,238,764,987,752,484,573,722,638,896,440,738,261,405,438,
236,427,491,050,355,822,555,303,637,921,476,404,690,829,957,575,301,804,681,
738,793,679,230,766,795,830,411,639,440,074,000,763,571,849,534,949,162,753,
529,172,695,183,017,821,834,494,450,020,813,387,471,660,353,796,203,237,897,
321,756,176,715,145,096,396,156,654,832,517,787,312,937,603,329,262,377,858,
721,469,926,909,795,990,482,181,031,522,527,815,794,631,269,552,303,115,053,
079,771,193,509,902,795,386,999,729,872,059,964,802,959,813,257,001,848,489,
693,319,841,294,576,324,099,305,705,476,680,158,028,460,520,707,680,834,909,
184,326,745,928,078,817,128,030,598,292,330,273,099,617,808,358,854,491,505,
744,384,181,320,880,206,335,200,884,840,933,899,544,453,644,404,727,478,805,
841,540,697,402,859,121,136,148,924,728,610,398,677,493,602,143,418,591,535,
761,360,209,016,252,205,115,464,433,402,462,779,694,861,283,194,726,434,760,
922,288,953,321,124,646,019,716,472,158,913,812,360,539,899,653,782,215,120,
360,923,414,120,642,783,952,344,324,580,391,968,001,322,674,518,613,388,255,
848,577,614,547,657,857,536,336,370,869,826,880,225,884,669,481,088,506,077,
633,183,390,472,840,429,412,657,459,830,450,219,333,879,315,794,860,855,191,
849,357,329,677,248,472,681,349,134,173,997,007,418,694,760,288,548,837,409,
748,501,368,798,668,149,823,552,172,383,315,647,700,341,558,198,309,778,678,
911,031,808,251,684,617,091,178,103,778,993,421,231,859,579,678,387,645,987,
787,558,199,571,712,794,015,360,055,217,836,578,362,894,638,356,756,938,644,
270,007,344,669,127,178,693,339,036,025,906,128,117,501,477,289,535,199,695,
417,719,672,252,073,593,691,082,630,666,286,569,800,656,386,441,257,982,006,
111,060,541,173,665,982,713,046,841,810,547,199,398,532,746,780,246,225,066,
095,969,981,219,295,467,579,743,654,838,321,673,595,776,809,076,362,954,334,
192,633,705,545,182,555,769,641,669,889,758,624,876,233,789,639,344,039,234,
914,998,157,875,567,266,323,620,625,949,563,309,216,703,964,748,279,123,880,
452,446,120,011,209,055,044,063,280,917,697,328,293,088,259,264,834,799,855,
445,923,495,635,002,852,135,697,837,649,403,846,700,288,332,300,815,226,937,
974,077,815,352,186,759,302,849,559,136,047,742,147,612,169,923,904,904,807,
746,600,315,537,785,704,707,411,667,848,653,574,596,710,882,340,462,162,019,
656,860,896,984,740,017,656,374,776,434,501,544,145,241,727,542,720,157,849,
141,426,973,224,194,336,666,505,704,300,272,597,493,932,412,065,314,765,415,
770,966,940,832,832,622,880,801,653,021,263,299,034,429,286,333,414,465,314,
636,656,903,562,014,594,099,318,230,843,021,564,461,901,890,368,690,130,756,
455,575,920,496,068,700,536,416,239,717,528,450,959,866,043,467,237,061,834,
084,440,259,601,951,364,842,970,577,744,432,767,187,280,084,123,053,338,402,
912,147,760,262,530,455,740,366,517,678,212,493,772,665,458,180,738,339,720,
710,551,761,636,970,132,461,198,757,124,283,829,892,027,513,527,830,758,849,
614,779,878,413,697,711,570,534,227,681,071,484,054,603,278,096,356,589,698,
194,031,448,203,803,711,118,284,036,074,892,871,810,621,678,368,068,383,568,
800,251,370,213,048,920,347,352,673,137,645,362,650,732,665,423,849,148,669,
194,848,420,775,651,652,669,010,904,779,213,426,028,384,081,484,922,002,627,
851,029,622,433,719,338,449,158,907,420,883,137,129,205,737,218,834,335,388,
512,496,165,229,408,154,159,053,422,637,255,865,737,656,536,588,082,142,548,
952,376,492,762,846,687,913,824,140,912,876,010,023,513,135,283,833,204,013,
298,374,660,440,460,391,779,397,810,030,610,361,409,996,435,734,693,431,141,
678,343,882,904,966,827,469,834,596,980,383,202,404,813,971,650,039,336,882,
264,755,716,899,362,661,367,691,986,014,683,882,785,595,797,762,633,933,697,
748,404,503,518,198,696,260,098,040,808,596,671,582,887,324,546,312,483,228,
489,455,984,758,464,593,322,991,738,005,542,549,592,518,260,346,559,320,054,
936,283,114,972,781,404,660,557,418,724,938,364,059,249,323,354,557,246,790,
580,719,553,642,618,751,156,923,161,290,861,141,880,968,551,170,573,560,506,
272,177,541,898,233,885,671,945,188,865,588,748,534,775,090,880,774,533,356,
505,262,742,267,523,129,589,778,093,738,017,030,855,735,126,398,570,565,855,
370,009,270,299,263,240,861,729,707,899,226,417,126,164,693,342,244,928,564,
138,921,429,511,872,707,977,412,240,540,161,737,078,165,764,486,922,220,623,
877,476,844,356,841,421,930,980,933,181,220,070,785,081,983,817,689,975,692,
857,849,917,576,720,110,864,536,758,986,049,392,841,742,558,893,593,109,484,
317,621,155,742,082,537,000,483,844,152,985,094,189,800,340,523,134,193,445,
683,872,261,062,112,148,759,814,281,431,291,830,106,015,791,637,086,467,625,
379,126,583,028,064,706,444,413,546,189,749,336,336,395,946,837,150,994,604,
916,005,550,530,241,050,395,102,196,230,472,907,056,296,265,529,045,408,202,
339,216,545,010,869,284,200,535,935,423,715,509,349,460,272,928,716,473,570,
081,128,121,997,933,928,268,995,911,396,787,737,745,969,761,595,298,237,766,
691,308,347,473,330,308,711,538,117,828,883,275,031,993,283,380,907,355,704,
964,992,379,273,777,496,358,341,474,436,604,067,680,755,690,185,535,807,035,
904,472,886,131,645,202,552,867,706,641,972,616,706,960,259,917,153,878,478,
583,699,400,264,163,148,361,015,199,449,684,408,015,505,529,401,725,980,417,
142,684,894,805,901,719,366,868,759,556,900,527,141,760,386,929,289,710,496,
343,142,489,807,101,145,369,989,568,627,475,176,028,657,046,323,521,572,945,
648,158,683,815,656,515,018,288,960,806,067,318,491,266,023,753,120,471,172,
193,893,586,487,989,796,516,156,989,439,304,888,168,598,997,441,104,979,157,
017,028,911,193,207,380,150,228,711,628,901,459,989,520,587,554,747,704,855,
001,134,828,814,733,625,495,890,118,921,984,055,018,661,333,978,905,831,450,
315,922,608,868,392,620,265,506,447,194,054,924,932,136,489,698,397,347,042,
411,192,103,172,840,314,094,648,678,769,863,856,336,041,659,696,601,128,644,
559,308,330,618,693,731,956,756,167,297,248,022,986,328,336,940,982,298,014,
224,370,316,212,869,357,084,112,787,867,064,639,207,408,228,521,445,196,047,
068,060,210,070,571,983,592,501,354,607,644,669,905,119,986,310,817,687,069,
724,271,093,711,343,132,787,084,733,738,344,936,084,936,642,421,268,187,399,
800,808,797,529,088,693,406,718,570,764,547,598,613,416,354,778,179,289,010,
468,963,199,419,538,564,628,469,065,825,575,574,644,090,145,926,581,171,345,
097,314,239,813,216,509,008,453,697,591,700,230,944,412,739,056,797,493,755,
565,799,142,035,234,266,318,257,010,291,876,631,267,723,360,032,045,390,869,
707,574,801,894,473,084,922,239,603,179,585,443,262,378,603,002,280,585,604,
264,927,318,916,080,515,780,320,284,319,510,525,952,880,553,322,515,013,807,
159,781,141,260,272,640,852,837,340,316,011,704,718,337,645,870,611,980,922,
273,906,439,606,733,851,223,230,930,051,399,130,402,550,496,206,537,205,419,
553,335,135,438,476,499,291,700,379,557,680,898,710,546,389,259,422,203,242,
696,310,116,412,233,449,405,996,521,503,115,641,092,036,776,483,558,068,731,
160,824,251,526,293,874,321,952,898,867,452,321,579,490,757,186,164,492,547,
727,778,348,972,487,976,270,337,553,992,368,903,171,617,267,864,009,321,809,
453,208,275,266,369,387,225,436,391,409,430,674,324,568,164,984,733,621,244,
825,067,389,622,591,627,468,870,431,822,469,962,792,049,720,592,407,529,515,
493,664,514,987,153,059,746,141,246,639,638,087,091,074,611,177,259,922,428,
363,290,223,296,911,548,946,628,370,853,007,107,150,480,760,357,519,811,341,
340,823,101,229,141,495,865,185,858,662,381,955,022,332,126,232,611,360,278,
873,891,610,005,903,090,273,909,389,444,999,593,853,395,136,882,924,687,109,
303,863,513,003,094,090,577,977,193,267,991,828,810,161,123,932,446,065,189,
907,203,588,233,340,124,722,341,384,609,210,150,519,036,087,601,020,905,644,
120,325,868,484,139,048,652,570,310,141,672,467,120,675,871,822,291,216,370,
523,838,475,348,118,274,405,319,110,362,945,996,264,503,742,422,183,841,822,
978,161,385,992,026,422,531,795,628,793,476,632,847,855,116,142,945,772,188,
612,194,053,582,325,163,611,184,503,564,813,751,735,741,623,622,146,505,146,
066,883,120,364,989,167,375,654,140,658,604,012,808,166,271,386,550,422,916,
244,977,687,349,554,995,867,587,942,242,266,290,363,883,140,821,967,672,850,
055,051,984,721,384,680,566,687,196,362,574,939,803,414,304,129,026,340,050,
882,487,879,720,570,910,272,587,311,302,970,794,396,726,210,834,976,863,561,
868,157,885,833,654,317,031,110,749,264,451,523,063,332,682,714,894,460,990,
051,239,435,175,633,101,089,205,243,779,777,224,829,866,827,796,370,990,043,
165,428,398,999,081,789,523,097,153,576,513,448,557,716,785,645,018,643,408,
576,044,363,919,074,025,596,364,849,103,800,917,406,790,256,804,789,444,130,
273,471,681,050,848,116,899,218,561,327,945,310,777,119,600,632,237,398,631,
991,136,187,378,813,470,118,716,287,297,680,941,194,557,565,084,142,967,957,
702,299,342,769,293,249,063,091,191,008,454,825,398,254,315,069,438,101,435,
295,592,051,801,500,938,799,281,986,216,035,735,838,988,230,603,295,510,464,
792,976,953,491,519,173,872,008,956,184,341,063,566,422,910,493,329,229,808,
197,752,690,642,777,066,856,675,827,218,795,243,105,465,522,024,166,780,555,
188,657,647,636,361,343,014,371,143,156,538,461,678,581,228,028,879,719,716,
645,331,507,134,373,100,165,138,944,845,510,340,006,049,559,484,393,772,328,
522,069,267,188,476,455,039,158,183,975,819,960,820,518,468,550,987,874,915,
337,142,523,849,117,687,786,323,279,909,725,301,231,529,067,718,070,187,534,
254,005,468,338,854,887,611,532,316,980,440,286,367,934,103,874,495,232,754,
599,473,729,238,218,566,524,390,888,998,382,740,549,588,893,809,299,899,484,
092,081,903,170,411,089,680,234,241,733,309,860,702,720,854,182,833,737,636,
482,240,486,355,390,809,544,239,071,827,660,754,422,385,826,309,102,603,138,
774,191,173,817,964,050,133,819,400,124,429,030,775,372,724,071,936,998,857,
982,280,005,716,373,626,342,773,957,344,740,324,007,589,921,139,988,134,034,
365,191,578,320,452,988,146,302,986,557,708,886,236,325,581,584,867,135,701,
207,827,554,361,671,593,807,225,104,557,656,927,989,231,829,340,093,178,371,
082,243,190,618,646,641,485,164,721,258,752,344,901,103,216,902,074,810,557,
292,283,933,721,732,484,361,912,851,883,760,139,957,539,089,268,302,594,647,
734,995,008,394,752,792,683,713,451,368,111,675,584,515,329,093,010,690,789,
064,870,425,332,269,328,073,850,493,782,032,961,268,132,455,754,718,961,015,
188,450,709,447,765,328,454,840,929,339,144,476,248,221,090,780,113,670,365,
070,290,987,973,500,498,283,288,595,755,562,351,339,047,827,861,228,024,374,
123,901,287,301,420,892,769,291,660,923,245,601,578,781,272,971,997,829,560,
160,239,531,939,672,937,072,748,583,268,673,108,336,084,519,066,034,870,356,
872,802,311,485,148,074,129,741,559,370,988,397,314,297,711,238,335,265,702,
866,776,644,134,110,895,574,598,314,692,534,864,064,493,357,102,177,481,927,
178,584,438,925,956,837,284,830,245,733,472,189,816,038,336,952,253,818,089,
379,117,125,535,770,130,985,529,591,422,313,866,786,938,171,678,356,407,148,
208,872,635,412,217,533,558,035,936,072,181,320,827,263,951,210,532,591,856,
591,154,839,465,962,075,416,550,981,445,321,601,894,226,544,382,992,565,288,
552,402,292,119,054,475,510,780,414,301,648,712,764,525,451,721,625,735,637,
190,523,488,804,142,319,393,818,067,524,084,395,924,913,428,032,166,839,644,
611,911,234,410,580,725,894,816,536,920,451,486,234,122,392,226,815,119,342,
204,295,923,683,759,699,372,074,024,257,502,314,001,303,388,613,432,976,611,
687,332,312,280,502,179,682,291,964,851,887,793,116,141,063,790,452,399,165,
547,074,829,623,937,153,545,080,712,296,028,463,684,352,126,007,956,858,918,
320,014,718,448,012,122,261,438,011,056,661,097,976,282,033,402,703,091,096,
689,796,040,972,367,377,721,076,742,473,198,917,502,487,087,056,219,930,591,
840,643,285,420,128,807,640,791,925,219,734,988,622,137,154,583,281,938,516,
240,351,543,563,905,715,497,845,795,822,046,394,959,572,097,534,306,925,862,
055,517,292,259,178,333,222,508,848,543,884,826,911,821,559,186,488,737,457,
994,684,634,091,911,424,748,630,293,382,349,520,184,320,318,182,654,398,919,
176,258,242,558,099,789,930,159,125,837,006,488,686,540,498,010,823,889,498,
268,894,835,467,586,532,693,426,906,506,135,338,075,183,644,153,822,630,300,
864,277,589,955,712,925,170,484,262,925,097,364,758,842,134,668,498,265,909,
593,962,210,018,525,140,864,096,497,915,030,039,270,553,437,520,674,417,321,
057,164,573,026,820,444,967,777,674,566,918,423,786,064,516,885,120,118,277,
996,589,647,979,682,294,464,926,954,878,771,362,678,247,370,263,309,824,084,
987,610,520,814,859,585,162,435,341,056,297,365,812,558,836,313,923,374,926,
099,591,644,898,255,794,616,569,023,412,239,589,675,634,139,023,636,711,967,
830,042,764,761,539,630,842,083,800,287,745,707,357,737,753,722,854,078,637,
257,693,603,282,759,325,589,598,662,249,064,357,235,212,829,578,097,242,091,
434,509,394,911,954,159,772,863,055,781,588,122,396,767,969,982,934,157,298,
417,140,792,660,309,162,234,467,982,240,138,721,923,464,013,970,604,687,387,
758,367,238,261,671,996,298,718,043,927,615,959,274,724,073,710,313,142,392,
443,717,415,113,144,159,245,043,708,794,790,271,909,505,928,364,573,640,947,
497,102,373,279,177,534,577,929,335,903,634,133,025,127,459,478,550,818,274,
669,041,091,636,658,228,807,245,181,769,569,895,163,000,744,632,596,925,255,
494,639,606,495,164,090,086,817,878,735,385,494,432,961,870,652,507,514,931,
230,112,647,915,107,149,965,202,493,312,232,478,591,891,179,505,101,048,411,
391,566,428,475,162,054,753,916,143,088,015,556,487,266,795,459,618,195,861,
045,075,581,284,408,952,958,656,748,091,136,975,274,746,683,986,240,481,773,
972,848,942,250,412,181,632,613,187,051,869,511,154,049,663,797,579,758,177,
190,853,630,209,546,699,958,526,507,556,587,094,619,405,755,513,244,016,753,
675,346,982,689,145,123,554,931,317,558,072,612,905,547,835,901,751,718,358,
957,032,995,768,910,592,741,449,787,318,372,812,678,829,271,702,478,970,416,
156,802,193,510,004,073,102,828,695,679,151,574,839,775,972,751,258,806,203,
256,835,602,529,181,957,060,582,608,146,639,876,537,533,729,350,622,277,324,
699,740,018,759,618,870,531,037,094,438,199,973,170,034,340,391,437,034,154,
305,442,612,381,374,917,307,656,364,066,451,435,787,558,740,988,847,812,888,
645,624,754,688,645,190,055,641,145,762,995,476,136,286,265,997,943,546,698,
308,768,686,001,845,623,251,584,367,778,586,069,605,998,134,160,032,738,177,
671,124,223,970,539,886,129,218,921,020,386,944,450,153,786,676,435,615,407,
082,363,413,016,633,135,505,056,798,250,575,484,134,233,378,891,326,949,709,
907,326,817,025,806,990,176,406,042,113,471,759,079,189,289,001,174,935,020,
342,408,731,859,683,061,135,822,154,704,675,044,509,552,263,937,759,026,184,
827,877,866,630,372,513,662,004,470,583,308,971,248,914,599,383,992,337,745,
805,324,302,658,925,454,627,582,866,386,799,903,843,507,741,322,369,765,335,
192,139,310,507,966,406,175,443,406,676,151,497,157,655,716,771,194,361,551,
021,889,671,394,531,698,397,676,825,702,940,431,110,198,891,654,966,951,377,
250,017,801,228,330,738,126,402,236,084,970,394,366,101,114,783,429,150,438,
218,231,416,707,923,590,261,592,457,550,688,833,635,919,276,113,778,292,844,
541,604,363,360,567,909,719,587,492,254,498,237,890,835,144,361,507,870,872,
969,258,559,105,864,659,249,242,471,456,130,455,509,806,101,220,296,452,102,
664,219,333,827,950,137,921,726,051,214,798,219,529,051,788,062,622,059,095,
499,371,004,168,039,868,018,509,872,654,957,655,538,239,752,242,814,880,234,
693,930,761,583,332,004,405,570,935,740,767,133,004,314,223,965,064,692,811,
590,275,889,335,099,136,123,151,877,031,147,305,581,495,054,547,211,360,926,
553,652,584,484,343,097,576,903,128,178,251,773,399,463,200,173,041,354,995,
528,618,576,730,550,605,104,852,923,047,913,141,248,561,177,241,969,650,708,
037,076,185,965,010,799,566,141,621,465,454,574,286,940,594,711,235,210,810,
636,355,248,345,717,446,101,390,151,155,089,961,375,132,404,168,377,331,723,
343,206,093,220,447,723,902,559,410,671,282,093,488,352,670,743,501,359,572,
864,046,554,155,516,981,281,352,306,030,157,992,576,596,960,895,770,711,672,
425,514,430,714,809,042,199,562,795,637,131,463,275,087,983,828,028,976,815,
791,254,440,002,177,732,177,806,117,048,910,422,457,371,482,136,643,790,120,
859,222,858,010,793,772,142,283,644,539,873,683,115,548,656,759,266,415,593,
166,483,561,471,898,895,575,198,687,935,266,851,764,411,316,902,378,828,365,
230,876,146,911,939,563,759,071,796,243,526,697,732,242,143,018,274,127,320,
125,770,687,049,847,519,970,875,520,112,262,865,104,129,090,140,562,123,456,
813,626,564,717,765,628,994,904,586,535,326,642,009,392,508,503,358,636,108,
373,600,088,467,403,856,573,171,669,912,632,042,065,727,798,208,656,665,084,
400,039,425,015,290,060,259,928,798,754,732,784,171,670,906,359,952,770,858,
032,523,501,554,193,961,209,606,053,048,140,731,831,713,763,299,253,828,181,
214,099,572,658,723,562,535,597,641,725,385,698,720,900,750,739,957,076,446,
880,609,566,320,588,639,986,618,109,216,978,196,729,688,463,737,194,867,504,
685,489,693,669,777,646,341,495,266,672,472,340,087,884,229,729,298,655,491,
484,653,754,247,148,329,515,227,176,880,047,878,663,050,149,081,864,129,603,
385,413,308,041,839,010,244,362,992,973,378,009,054,376,324,216,963,946,202,
712,236,708,503,511,934,860,413,693,220,240,741,491,291,709,332,932,190,458,
861,864,495,808,122,440,811,529,343,235,837,535,766,408,849,860,236,771,381,
801,518,987,374,179,456,539,500,555,044,458,915,484,108,400,323,184,642,711,
790,270,044,804,060,027,523,178,472,499,265,280,548,740,708,828,142,156,226,
645,111,047,525,212,774,664,544,752,941,278,859,068,334,566,667,888,990,169,
754,765,235,001,555,787,955,289,725,231,776,104,617,121,364,472,810,591,859,
514,915,674,141,049,671,826,581,276,966,400,689,344,113,746,285,157,435,800,
803,730,353,699,635,482,899,848,460,815,251,603,559,973,308,610,955,363,545,
856,055,040,887,946,988,707,808,787,369,618,787,552,386,403,614,717,374,719,
208,329,523,636,614,932,309,061,192,788,540,959,685,115,463,905,015,944,541,
900,896,894,677,315,762,822,687,576,098,417,890,899,682,208,538,431,010,014,
730,637,229,338,591,701,878,629,849,672,349,125,379,714,698,885,194,900,727,
560,019,018,109,193,923,631,015,161,419,585,313,598,828,407,233,807,014,340,
729,175,894,531,814,069,343,898,217,500,451,240,601,708,241,192,415,736,696,
125,629,049,195,822,291,648,900,050,331,837,672,897,522,990,527,819,728,490,
977,452,521,574,646,505,614,951,486,051,060,039,603,435,594,679,284,628,858,
588,927,445,323,070,822,075,540,615,661,292,231,431,861,708,777,198,563,323,
836,461,107,918,801,742,503,225,455,294,554,191,955,878,753,604,096,133,965,
847,015,823,974,566,737,814,714,032,278,166,474,790,345,780,849,900,073,314,
919,253,550,055,668,455,862,115,214,805,186,480,637,222,594,340,993,122,165,
986,987,837,188,391,351,698,696,169,026,742,919,570,823,863,970,085,933,251,
115,776,824,995,192,521,157,976,467,542,741,639,757,582,191,876,059,790,042,
446,320,894,794,434,542,003,903,837,839,070,971,631,550,933,018,967,042,571,
459,387,831,901,682,147,719,059,034,039,367,777,631,989,091,524,404,777,621,
988,872,774,660,278,581,200,091,456,038,079,636,666,123,384,883,053,806,300,
298,452,812,991,499,099,444,597,291,043,858,434,265,748,039,612,236,027,847,
642,087,492,659,745,452,372,464,398,797,424,686,007,890,058,472,054,363,173,
210,998,315,828,895,952,607,207,799,806,421,608,483,292,582,011,409,654,360,
352,952,634,661,023,811,966,365,252,331,106,912,362,664,281,124,778,133,272,
992,973,480,161,135,517,491,053,770,448,116,499,631,211,278,634,692,789,669,
987,368,920,481,022,937,565,476,769,164,784,510,083,815,348,103,537,050,313,
346,916,916,171,069,306,921,843,613,533,908,560,519,772,347,445,163,481,085,
722,758,912,901,842,435,278,766,910,934,442,255,041,530,770,938,771,151,588,
615,538,985,760,724,073,019,107,868,929,269,191,113,223,764,995,410,641,810,
010,370,817,499,958,587,412,336,206,282,068,357,228,722,920,072,987,456,558,
980,770,631,705,265,392,257,582,293,851,582,370,288,585,169,411,932,531,865,
372,900,032,799,330,159,470,970,070,752,739,946,218,063,269,147,622,575,224,
766,765,538,138,261,225,379,267,007,852,664,162,884,194,673,846,123,942,926,
758,280,190,793,736,208,174,230,188,051,862,557,762,075,361,614,477,906,136,
730,855,434,273,430,135,978,409,853,287,030,821,001,874,641,792,557,757,323,
990,619,666,497,919,269,844,720,878,526,878,051,998,306,888,534,278,729,168,
982,568,274,456,256,649,310,750,984,277,993,407,254,589,373,237,320,272,452,
341,383,007,216,089,988,380,476,515,930,601,552,370,712,717,432,813,505,157,
654,942,639,308,607,422,722,009,885,094,105,760,089,016,722,734,820,578,211,
316,641,270,596,596,775,414,153,266,624,551,794,230,636,387,832,069,474,769,
485,047,879,263,697,839,092,787,383,815,890,707,707,896,235,951,877,826,306,
669,515,289,387,149,053,549,307,658,147,078,771,228,831,210,260,392,537,490,
930,963,868,452,318,479,052,041,216,633,418,171,097,405,982,209,416,802,796,
541,615,830,652,286,119,069,556,071,134,378,179,890,466,990,502,033,219,028,
962,011,965,994,962,257,015,228,630,406,675,253,294,364,120,610,978,234,973,
116,112,765,061,316,330,400,772,404,784,278,985,912,138,572,628,211,339,679,
714,077,189,542,305,605,406,492,749,614,800,388,319,218,923,779,537,840,927,
572,951,241,483,509,488,773,208,097,578,142,031,056,828,979,885,768,182,316,
006,393,962,737,503,431,497,808,182,407,424,023,392,210,816,187,999,646,272,
987,937,579,714,707,403,562,871,371,818,368,511,476,065,061,914,710,820,541,
356,150,008,010,421,831,310,888,251,604,563,948,851,976,353,387,993,608,451,
973,910,029,915,913,068,239,065,786,531,366,668,036,452,976,415,282,436,802,
135,556,794,939,322,223,782,095,522,854,847,311,326,601,381,684,335,494,570,
237,058,060,083,666,797,494,403,346,113,306,401,231,124,632,676,467,710,294,
470,247,953,668,082,522,366,102,190,027,751,519,700,809,950,319,162,777,016,
451,885,963,942,920,713,443,930,742,668,027,508,170,962,131,561,500,248,505,
245,121,075,164,624,524,882,532,797,249,826,109,145,979,849,279,971,179,072,
099,585,554,643,321,231,559,362,436,298,716,555,042,914,116,879,184,280,706,
400,479,243,867,373,163,277,584,944,356,257,559,888,778,417,756,848,840,598,
947,071,076,755,107,274,999,064,216,402,228,656,196,671,110,931,864,963,225,
982,780,067,206,665,592,410,487,935,298,903,305,821,697,819,746,780,315,357,
806,954,161,174,244,178,421,542,731,253,061,643,399,550,098,709,741,338,730,
942,827,937,970,916,011,628,538,213,169,990,148,835,584,885,489,607,906,042,
349,440,110,501,108,569,722,403,405,259,287,027,030,346,648,422,975,913,026,
252,080,522,358,280,783,565,616,436,319,777,613,006,767,318,388,484,946,220,
877,081,214,506,488,917,098,499,656,079,835,466,453,401,731,950,972,193,157,
842,698,323,215,456,749,692,053,302,802,261,826,091,317,558,421,732,712,535,
370,058,832,657,727,765,558,226,728,466,544,715,290,978,510,087,546,675,846,
375,954,559,437,052,794,036,910,460,165,322,027,866,996,832,658,497,826,968,
154,295,326,273,263,607,065,975,816,504,915,503,946,643,698,638,964,846,900,
892,059,733,095,597,451,306,984,976,264,088,797,852,108,501,109,654,717,218,
839,690,159,202,529,756,620,611,277,077,797,171,263,915,538,288,777,885,782,
192,593,293,123,962,020,207,633,543,486,696,017,847,891,022,070,308,954,399,
921,439,062,216,788,149,789,428,144,993,611,399,685,744,664,112,749,333,681,
546,313,364,717,724,764,459,114,585,097,136,566,021,738,337,577,872,775,937,
532,375,872,097,038,876,455,675,143,506,895,119,950,543,496,973,375,912,755,
785,461,526,971,400,234,345,686,923,131,314,532,774,370,390,970,651,483,431,
179,655,479,644,684,804,921,819,257,611,737,178,503,700,147,315,236,715,006,
800,044,636,989,065,863,044,080,416,497,109,119,085,607,349,368,465,950,820,
802,800,440,689,761,833,185,858,388,841,422,713,322,189,959,705,880,966,669,
870,062,031,251,915,646,335,096,769,936,657,464,912,885,045,844,041,729,580,
763,364,128,743,761,846,139,907,672,695,059,023,205,209,041,442,686,658,181,
343,807,431,629,264,928,543,849,491,621,468,188,142,990,234,110,280,531,936,
891,226,373,400,860,171,021,252,383,906,705,438,840,420,133,013,538,811,718,
630,031,679,465,657,548,651,016,375,907,318,306,066,800,391,381,879,475,695,
278,063,246,988,373,674,389,079,931,660,669,402,658,023,846,834,499,751,238,
590,793,982,539,141,014,118,049,135,568,331,660,290,238,635,975,644,360,300,
005,102,532,826,162,928,649,089,315,703,982,708,861,033,869,789,849,625,760,
049,901,939,818,354,501,391,211,232,757,087,094,786,069,174,683,656,809,128,
025,059,575,970,827,413,491,505,030,275,741,622,523,271,816,196,997,817,617,
937,273,953,776,652,376,457,039,513,926,588,334,856,196,565,617,471,402,861,
531,197,934,308,207,599,188,355,579,505,024,370,816,309,006,591,262,085,178,
112,026,277,641,262,781,230,727,920,742,368,900,388,374,221,620,095,932,079,
665,057,708,480,080,534,356,135,975,967,829,055,162,559,463,678,753,152,176,
937,144,838,403,367,417,740,869,817,986,951,727,331,516,240,711,058,593,553,
496,152,435,748,255,989,138,089,000,247,655,092,882,074,588,583,938,588,505,
636,577,630,975,301,458,807,305,863,374,761,436,843,495,218,478,312,407,898,
626,185,310,618,458,714,972,665,898,807,083,731,261,583,204,594,172,284,213,
053,689,881,234,285,518,750,194,423,449,386,642,107,283,004,473,981,029,531,
673,849,353,897,076,152,089,314,373,854,264,376,735,535,153,729,798,244,030,
315,757,175,501,675,802,409,045,177,508,505,167,668,745,733,898,232,174,786,
264,700,524,435,554,696,715,000,561,721,791,828,712,412,962,808,977,733,343,
363,358,621,190,497,893,921,959,425,348,873,539,487,081,379,884,656,055,839,
357,143,175,140,677,231,112,089,033,222,646,815,290,392,885,162,185,397,104,
978,314,124,129,753,929,681,803,466,054,692,805,934,806,738,022,494,568,689,
819,358,120,986,811,040,821,955,866,128,792,523,956,192,586,537,125,454,281,
772,843,686,451,160,758,696,487,140,942,915,159,207,332,493,736,263,084,080,
267,331,813,609,773,512,966,303,946,360,802,516,876,379,317,368,819,540,748,
406,889,377,204,497,141,355,022,087,451,226,226,309,230,518,984,000,372,917,
675,587,597,755,119,738,003,621,413,481,682,986,396,713,219,404,414,676,309,
944,710,773,548,064,386,281,297,766,512,000,006,254,140,341,026,265,559,704,
062,790,733,295,511,342,029,337,749,467,400,625,438,934,663,848,036,270,069,
381,245,116,844,834,856,587,628,553,833,034,114,369,025,583,381,242,462,847,
727,099,219,438,041,791,918,301,716,987,806,581,458,158,981,696,557,624,659,
980,972,506,809,504,408,260,524,419,871,448,000,839,984,541,058,018,966,881,
087,096,565,407,133,187,787,698,709,253,960,977,238,689,889,013,496,273,437,
838,883,172,818,373,569,840,705,236,456,822,849,820,343,303,703,869,298,634,
046,999,243,790,351,667,358,009,278,696,543,616,180,655,694,303,588,771,331,
656,138,762,392,661,092,806,685,046,058,018,410,172,763,948,872,703,936,642,
441,731,602,381,556,176,642,863,420,212,525,126,876,422,177,842,930,393,664,
156,768,314,616,306,874,477,744,464,381,851,814,498,370,878,938,054,911,597,
131,249,835,396,651,550,724,983,150,366,357,288,129,951,394,519,619,732,731,
600,499,663,409,926,586,274,115,382,062,721,663,366,793,003,606,043,264,473,
145,113,354,030,599,462,294,574,104,264,324,020,854,269,938,426,865,903,619,
920,767,611,034,625,391,216,929,687,204,909,585,639,679,704,279,855,805,018,
256,186,218,523,819,963,258,340,904,075,073,834,734,435,333,740,101,082,975,
290,932,889,037,040,583,982,381,266,836,502,042,682,438,468,277,232,895,679,
711,380,654,366,163,415,214,738,364,170,527,151,474,989,834,201,546,071,103,
677,927,147,252,478,247,845,538,595,551,025,520,554,298,594,406,189,750,225,
130,879,068,898,650,923,575,515,460,806,073,903,478,041,291,341,608,530,569,
079,863,427,444,454,711,517,921,197,153,820,099,864,381,333,780,460,136,821,
209,975,284,300,625,577,849,852,945,652,860,306,272,147,362,549,049,926,723,
381,004,784,147,797,344,814,749,911,484,826,482,171,200,360,553,036,450,553,
658,977,437,771,294,883,036,192,211,240,505,382,857,909,027,251,735,903,053,
037,846,408,881,487,352,284,918,640,812,449,911,200,538,652,901,011,796,367,
933,987,815,079,022,897,524,438,873,529,895,248,301,680,742,905,534,316,605,
656,699,909,743,689,062,396,688,698,281,890,016,770,466,463,343,579,087,022,
481,522,467,157,854,046,044,383,009,645,785,316,202,718,725,732,523,869,056,
088,952,320,490,334,099,423,033,165,406,721,864,450,970,073,468,407,102,126,
503,351,893,229,587,196,064,532,613,524,644,321,054,696,851,341,273,107,779,
012,439,027,781,433,681,603,438,128,935,251,290,984,126,556,415,576,970,654,
212,996,569,919,514,283,935,517,528,551,575,876,067,356,761,424,653,261,419,
265,624,699,706,845,264,811,514,854,896,826,684,060,089,911,401,951,511,316,
165,570,021,678,832,947,478,190,351,281,495,593,704,679,788,317,552,439,372,
149,350,466,049,434,016,303,246,702,831,374,250,993,638,251,799,794,750,940,
496,702,959,153,693,340,029,442,119,733,506,860,428,187,218,429,453,123,842,
597,897,194,870,478,314,870,956,664,708,353,313,545,443,106,689,463,833,149,
456,920,819,791,404,906,343,260,063,038,768,648,673,653,965,075,049,002,828,
673,048,718,028,508,134,113,057,576,900,409,629,445,158,965,098,342,332,124,
575,923,144,370,472,812,293,787,962,380,311,335,958,550,953,303,097,018,287,
361,678,378,297,237,774,795,970,528,908,590,595,992,810,357,285,716,839,713,
462,457,336,600,608,389,594,404,422,326,883,374,043,798,603,600,324,018,359,
892,847,574,496,618,553,353,159,982,776,284,166,488,479,674,155,268,690,775,
119,817,808,676,926,512,108,295,546,483,975,147,896,426,535,687,853,404,464,
830,003,128,790,362,184,134,215,285,176,286,713,719,092,823,523,253,489,347,
282,513,259,709,405,402,263,856,862,091,825,879,333,556,799,477,123,704,301,
845,518,750,926,784,504,275,333,921,099,508,689,697,208,427,153,008,558,623,
702,016,681,947,247,079,664,170,055,845,488,697,347,232,177,107,881,323,632,
891,584,806,073,392,298,512,467,668,227,867,087,254,200,402,531,406,258,161,
130,248,946,456,036,909,269,182,598,150,176,523,294,207,115,568,894,905,060,
823,506,983,605,486,732,050,389,131,279,253,849,580,454,375,627,537,192,819,
232,949,238,265,964,834,907,357,176,075,182,665,414,076,445,655,959,246,556,
686,937,891,749,806,212,878,937,742,355,608,228,818,528,123,220,418,279,053,
040,290,620,705,827,500,096,669,078,781,039,310,950,956,886,816,008,034,763,
387,114,614,143,710,611,368,767,366,499,849,784,857,640,151,133,435,338,310,
037,989,616,443,462,972,525,855,860,650,958,610,038,467,591,148,456,463,740,
560,433,720,446,318,087,597,202,766,891,659,141,469,775,063,301,489,318,877,
910,730,249,200,560,634,228,854,758,043,237,189,356,779,797,788,294,321,059,
872,240,345,595,446,488,072,243,423,115,184,305,816,484,175,413,125,050,969,
904,688,010,540,803,941,026,710,118,876,289,929,230,082,833,673,591,834,907,
647,128,852,227,060,899,635,288,167,834,062,348,902,466,767,871,172,371,906,
929,589,426,170,787,062,244,326,241,673,359,799,005,149,445,382,058,316,666,
107,417,382,964,157,518,518,260,829,348,995,237,691,708,555,367,225,206,818,
408,459,655,068,258,674,029,133,063,916,891,624,340,377,673,888,103,398,344,
291,637,810,798,503,199,986,409,415,116,506,463,673,290,709,435,241,798,147,
968,544,346,434,973,111,364,193,915,331,876,460,694,548,486,396,697,426,799,
593,009,770,349,151,974,070,067,342,664,159,885,816,786,012,066,256,723,366,
546,175,801,594,310,826,777,951,509,039,039,216,615,382,703,747,952,209,951,
196,341,613,029,837,240,517,735,360,122,203,509,473,411,405,105,194,767,578,
077,475,628,087,000,849,407,869,684,861,396,404,870,752,645,804,794,817,386,
287,707,125,845,306,153,077,084,621,948,297,975,500,997,150,436,880,367,992,
643,863,142,353,061,244,013,850,238,205,458,300,099,137,545,379,894,031,762,
483,201,862,833,167,658,769,991,855,443,160,550,563,373,794,112,950,576,493,
986,370,370,866,918,205,941,679,848,080,028,544,287,951,703,293,625,863,760,
595,956,456,976,238,917,430,698,478,943,770,532,143,428,591,983,199,172,105,
849,353,727,202,304,418,662,317,043,152,240,719,691,473,916,341,431,236,528,
725,148,244,394,322,353,632,754,755,529,023,810,387,151,122,253,574,661,728,
266,956,452,076,814,571,433,682,159,434,803,191,517,395,676,869,229,862,975,
592,237,647,825,483,932,470,174,394,277,516,257,269,641,073,501,558,562,740,
579,898,210,517,300,788,032,189,899,294,429,929,891,441,654,520,741,102,507,
244,182,936,338,357,874,136,734,564,852,058,058,177,867,822,669,024,655,861,
851,301,907,515,835,399,367,526,859,363,926,050,459,822,777,139,179,440,955,
822,733,807,081,910,241,457,298,212,150,969,702,621,836,633,031,098,209,299,
898,317,014,492,322,140,287,607,560,271,859,278,896,753,568,337,399,852,911,
388,531,110,827,107,134,486,918,416,645,730,777,720,676,438,923,670,514,271,
282,121,013,369,393,438,624,833,665,243,791,147,373,274,517,625,180,337,993,
248,834,698,486,547,316,032,170,855,727,230,060,362,497,356,828,860,807,445,
315,003,770,343,717,509,385,662,819,868,604,564,787,804,746,882,513,194,729,
974,944,988,763,708,701,547,149,681,713,161,143,560,230,929,536,196,982,837,
099,215,543,701,112,245,140,370,355,154,617,841,178,631,894,477,873,139,675,
357,568,735,036,311,038,335,448,671,765,773,848,776,658,600,715,075,991,977,
518,963,436,025,058,886,838,077,885,528,304,597,870,974,401,513,273,594,341,
075,632,276,248,927,966,437,013,520,185,558,428,608,630,628,063,570,362,399,
703,680,832,205,235,336,336,212,591,849,827,820,651,317,584,534,938,256,331,
618,847,373,175,631,905,953,500,247,327,213,677,650,426,260,740,531,862,182,
039,679,091,274,754,105,484,627,153,184,931,839,309,968,048,569,859,986,510,
070,152,998,214,378,436,128,764,499,019,938,210,608,461,891,270,869,627,578,
184,497,985,240,972,777,760,926,129,881,408,953,566,303,068,442,959,644,777,
806,031,194,384,445,905,171,386,744,471,116,333,839,446,382,232,221,888,072,
865,063,615,538,707,706,959,448,502,236,794,569,547,847,819,238,299,774,425,
299,177,086,671,773,842,775,965,842,063,990,311,736,684,329,999,360,107,653,
194,829,302,915,639,478,921,677,648,578,520,894,106,865,007,475,174,068,868,
505,724,117,487,260,650,854,293,915,148,862,428,840,422,748,658,245,232,338,
628,471,366,921,131,492,178,691,098,708,613,521,543,047,734,427,290,334,466,
151,071,884,885,194,310,155,322,845,077,784,943,961,659,516,711,000,707,379,
450,278,251,426,707,522,702,460,323,741,929,426,292,182,180,961,398,718,208,
624,204,990,032,175,837,467,802,075,010,632,380,967,258,813,724,176,484,725,
071,745,243,820,005,967,655,548,931,728,440,276,044,948,967,464,056,623,540,
294,234,533,581,714,138,386,217,364,373,825,531,239,699,305,710,707,690,864,
925,677,257,865,897,210,643,609,372,313,793,264,187,419,092,322,196,123,548,
821,187,660,027,762,412,418,510,589,695,804,303,968,476,337,607,415,367,807,
757,537,264,866,571,836,180,273,707,588,128,898,986,949,298,612,081,647,841,
086,454,662,783,803,324,259,026,041,075,376,926,794,648,501,961,676,541,528,
209,355,755,604,573,428,423,403,771,359,852,226,960,491,225,206,307,523,980,
490,195,750,248,579,233,374,080,658,701,423,590,754,648,536,286,375,646,280,
280,995,006,576,437,441,486,804,362,415,483,695,721,578,418,797,162,264,107,
390,084,102,809,420,313,584,663,153,675,483,202,299,133,044,888,923,509,038,
620,203,741,092,736,459,221,925,739,289,346,021,738,995,067,572,256,579,411,
760,330,698,150,001,305,261,344,470,379,821,091,495,207,531,504,119,453,455,
081,426,906,271,071,530,048,514,213,971,227,144,270,275,459,136,982,437,750,
804,861,285,580,935,629,436,394,722,151,274,401,051,135,758,845,861,523,895,
073,191,221,909,997,389,154,446,022,129,002,918,355,947,110,906,525,634,330,
389,844,980,020,981,049,221,944,835,106,391,253,625,979,404,648,356,588,938,
880,119,684,079,711,128,950,185,545,513,711,193,603,488,146,968,909,411,539,
419,720,681,299,226,664,247,975,962,710,680,497,238,428,672,097,052,278,825,
060,679,108,135,737,774,306,951,183,529,714,805,910,946,875,201,931,638,731,
664,268,050,229,316,592,120,844,621,363,679,592,954,797,454,006,493,419,566,
537,064,462,463,920,624,890,382,623,232,614,990,567,202,381,212,607,688,183,
377,203,941,805,956,662,369,416,712,387,247,581,403,860,114,988,772,613,414,
902,784,892,063,015,668,635,253,373,941,135,336,998,768,057,716,733,774,817,
348,457,016,329,467,745,450,445,095,307,685,230,359,997,416,764,109,014,992,
430,568,718,898,000,263,776,502,894,338,282,448,035,824,571,456,889,094,728,
629,849,308,422,823,022,083,131,235,865,467,628,260,605,919,870,651,035,164,
429,601,350,123,468,154,668,256,184,461,264,777,114,269,974,607,314,107,446,
257,732,651,975,111,911,783,440,533,777,910,204,536,771,999,791,438,901,140,
004,862,064,610,716,958,614,256,254,548,331,502,123,995,655,122,664,381,573,
017,860,723,440,042,607,974,711,495,134,782,988,608,171,235,753,681,426,938,
735,528,100,897,722,142,730,578,256,572,302,000,953,914,392,062,576,005,007,
875,325,647,895,036,553,402,842,375,456,790,623,362,863,285,083,447,384,741,
079,502,705,377,302,392,802,259,461,747,756,892,399,915,878,110,491,531,907,
966,823,900,268,357,325,312,503,101,676,793,172,504,668,147,459,937,373,704,
009,302,777,952,024,406,659,907,181,641,800,302,884,473,448,679,176,617,236,
562,804,435,497,128,048,868,116,340,377,869,747,764,305,545,651,788,764,329,
564,858,020,866,176,091,075,537,456,058,233,807,051,982,022,611,139,688,733,
166,643,576,119,344,425,356,586,784,771,199,724,970,114,748,254,702,841,746,
802,545,830,124,143,599,978,607,659,699,985,466,389,393,318,997,175,908,359,
269,962,250,530,211,122,963,660,177,858,431,302,984,258,003,424,926,567,066,
529,003,038,682,485,921,155,774,804,337,717,302,891,143,162,923,393,947,228,
726,218,385,453,345,033,892,440,873,735,370,026,730,418,513,871,104,723,618,
171,710,833,040,599,918,505,783,974,649,399,630,925,171,131,950,296,411,636,
461,082,905,623,772,813,792,560,940,533,409,719,798,051,814,600,201,292,662,
131,694,581,968,934,993,387,020,706,925,777,392,480,997,874,816,290,890,720,
365,601,472,027,313,949,931,680,954,987,671,063,264,297,124,233,213,322,059,
808,324,502,327,608,066,470,632,710,032,491,070,532,893,757,554,285,372,441,
741,871,733,252,760,320,444,719,766,111,773,858,574,400,888,648,267,881,817,
348,390,543,870,932,331,036,223,187,155,691,733,797,831,002,015,334,970,259,
431,767,378,878,603,157,396,256,431,372,411,398,756,605,798,515,433,945,965,
570,186,271,571,669,256,599,716,499,070,257,175,262,753,068,123,182,271,367,
517,168,704,266,749,577,481,357,438,388,053,372,478,074,144,068,916,392,255,
320,709,652,465,204,046,832,255,040,611,211,075,420,222,890,740,265,347,648,
420,591,319,634,902,061,848,794,612,975,264,047,942,293,939,745,973,442,701,
693,001,760,967,134,875,122,276,880,237,063,442,937,294,928,964,775,905,459,
930,598,135,155,665,331,902,424,918,745,557,908,759,120,857,191,237,202,765,
741,620,481,150,799,903,783,028,729,614,921,778,828,858,257,123,615,629,516,
089,324,479,516,282,636,681,359,851,821,387,326,812,657,070,375,162,191,590,
307,923,446,506,418,834,734,695,252,303,691,902,377,083,817,231,490,353,141,
090,695,564,181,404,727,356,679,867,431,489,048,029,810,142,983,566,441,245,
823,097,678,853,279,886,631,342,265,044,731,884,954,270,891,410,701,382,448,
164,042,840,427,360,586,903,924,950,205,963,269,608,855,837,355,444,002,423,
589,267,233,791,914,593,946,779,664,911,318,072,433,035,476,060,676,161,737,
140,432,370,204,390,326,232,237,023,187,673,917,500,290,797,433,247,943,882,
866,364,179,382,494,734,198,214,164,729,565,222,285,545,331,270,332,552,697,
003,413,823,063,991,819,154,635,544,400,776,520,827,382,377,775,433,980,138,
520,380,112,266,992,322,924,150,023,458,842,114,034,932,117,636,300,460,108,
291,882,853,733,620,047,645,018,900,419,156,540,777,426,336,526,643,969,788,
206,071,725,021,168,626,171,902,862,133,273,210,656,671,434,751,058,549,872,
907,901,695,340,596,796,297,943,690,294,651,229,265,862,678,217,860,368,195,
602,585,271,518,743,341,439,861,209,411,870,343,703,894,616,413,517,492,965,
798,392,628,649,944,915,331,756,077,822,126,591,072,317,687,303,373,016,384,
129,231,407,191,223,525,290,432,560,610,588,291,592,858,161,329,094,737,197,
868,157,113,481,544,967,057,361,677,765,885,056,672,808,987,032,351,561,596,
577,536,579,586,348,109,082,351,173,890,593,684,742,114,662,434,088,492,171,
847,118,421,974,215,513,984,527,131,639,168,664,369,928,625,841,487,967,673,
619,454,347,815,495,947,539,592,640,597,567,218,488,120,256,985,019,952,967,
334,787,623,486,044,361,123,095,322,842,858,475,400,756,252,222,639,484,911,
507,204,927,166,913,518,460,169,692,036,600,172,576,392,568,056,454,470,916,
391,519,535,169,259,855,566,346,346,597,186,467,194,270,149,877,811,621,657,
271,634,614,415,920,214,582,769,678,544,286,190,618,329,233,442,943,235,682,
129,543,381,194,388,793,757,106,805,544,693,539,795,909,022,797,345,667,361,
664,756,678,915,340,738,266,996,022,813,164,991,343,089,081,665,678,349,254,
243,197,753,892,485,422,473,638,140,841,603,557,499,306,783,919,423,348,840,
103,195,296,210,537,220,103,750,489,187,331,544,511,952,622,596,481,962,752,
332,988,748,858,786,158,728,534,682,641,635,787,190,014,678,603,280,431,576,
121,936,777,889,646,052,024,306,674,773,332,160,685,855,140,741,262,962,729,
099,947,416,683,010,537,767,799,881,682,160,873,564,218,070,865,617,478,145,
551,822,578,513,161,297,312,835,480,370,531,493,943,202,377,729,252,151,063,
156,694,262,123,019,873,693,980,478,985,044,547,816,153,207,232,779,554,948,
317,136,145,648,145,483,249,696,644,390,798,718,228,977,212,593,682,802,530,
596,478,198,766,738,561,888,092,934,147,668,856,241,585,587,548,526,363,276,
849,694,319,928,865,776,330,848,790,754,643,938,872,112,858,408,859,709,965,
443,478,200,816,619,969,774,757,401,022,422,002,121,171,177,676,418,989,416,
074,848,414,264,473,620,195,063,339,709,751,180,695,520,898,059,167,166,488,
368,884,770,003,002,324,454,390,472,811,417,913,757,963,454,183,766,959,970,
850,563,074,549,290,521,559,502,141,438,499,068,327,586,540,142,182,528,234,
587,467,147,294,879,215,507,433,655,931,034,266,786,041,183,933,560,179,271,
457,319,841,959,307,915,463,627,586,501,461,269,235,499,681,235,214,062,393,
932,506,723,003,219,233,501,259,355,919,631,636,293,226,522,422,163,907,009,
776,660,169,579,455,837,920,195,741,643,247,652,455,620,165,198,854,666,010,
703,182,418,826,256,417,883,469,977,675,055,618,037,084,905,016,188,551,871,
309,930,105,971,225,346,368,610,135,036,084,313,826,221,686,445,841,137,617,
120,721,763,687,735,960,392,426,645,003,877,240,570,784,074,937,729,590,650,
742,080,066,209,674,216,735,904,620,313,940,299,527,837,044,481,200,485,374,
841,622,984,418,824,515,346,787,215,952,974,462,550,271,051,545,054,777,681,
216,727,281,922,182,589,120,408,569,047,517,512,457,859,027,815,348,196,955,
211,727,134,693,916,072,788,806,045,971,297,772,992,761,976,168,621,788,042,
237,075,043,757,589,807,561,341,862,193,611,960,959,486,985,133,215,673,092,
653,211,580,120,898,298,070,305,084,317,458,999,751,541,683,209,360,702,393,
205,257,030,010,534,126,422,955,946,714,889,059,466,947,037,278,577,628,666,
735,004,464,889,940,177,773,806,530,174,157,395,889,157,054,698,767,325,759,
869,111,312,746,465,874,050,978,765,498,988,959,724,577,970,474,247,182,221,
674,508,713,513,548,862,352,324,425,817,480,810,829,425,194,388,157,103,559,
575,739,090,886,556,067,209,674,311,600,738,221,468,049,468,119,876,883,193,
049,886,041,838,126,086,366,728,189,025,751,088,622,292,895,380,977,307,752,
418,577,580,354,949,326,417,186,638,333,138,325,313,099,520,626,392,813,802,
924,424,528,162,794,803,113,428,068,971,363,636,157,293,071,251,326,626,765,
160,085,882,490,789,888,689,201,678,275,160,570,691,304,416,627,248,819,477,
918,800,610,357,492,317,904,851,352,642,158,906,355,706,574,199,465,421,557,
841,252,217,983,069,439,056,065,665,715,821,188,783,136,197,002,284,576,847,
055,701,507,689,967,143,599,429,476,090,738,384,162,557,135,015,410,599,709,
521,235,508,245,326,534,839,631,047,963,386,670,942,935,665,664,858,405,483,
507,766,880,069,687,103,280,037,142,280,952,774,774,541,604,522,198,227,457,
631,711,152,557,946,105,588,016,053,344,404,408,971,761,431,431,406,837,640,
755,521,355,701,929,525,190,362,105,982,068,731,607,915,542,579,240,865,393,
162,197,132,164,327,139,733,229,893,760,891,865,437,355,168,379,264,566,588,
867,964,415,508,863,674,194,027,933,996,082,097,670,793,751,658,207,989,507,
127,228,416,719,453,207,285,857,943,306,660,253,649,603,496,025,751,410,745,
133,513,038,252,013,159,079,785,284,555,060,370,345,963,730,309,189,804,462,
653,495,835,790,068,546,729,371,980,397,942,666,693,856,139,645,960,847,237,
116,177,708,258,622,322,379,715,778,746,538,934,644,887,009,583,684,839,108,
284,626,157,888,426,970,271,132,307,225,421,631,022,273,244,920,355,841,503,
502,140,565,980,953,465,502,351,379,043,786,915,629,756,272,939,650,125,547,
925,639,969,575,683,095,680,403,114,077,648,869,958,908,540,643,828,348,981,
544,628,207,754,771,514,695,210,077,187,269,253,096,613,922,564,759,180,766,
751,253,706,286,585,379,720,804,375,234,571,424,928,408,173,377,512,687,043,
414,698,934,430,002,368,829,143,381,761,070,968,345,830,764,286,847,589,924,
959,664,484,640,894,778,785,730,269,708,460,845,855,131,073,604,056,786,672,
288,178,314,457,330,362,328,051,417,964,393,954,862,571,493,771,569,275,252,
840,402,186,542,736,228,472,496,768,332,291,332,132,508,557,910,291,500,741,
018,379,116,960,880,084,291,844,168,529,110,001,112,703,453,111,155,879,289,
209,824,665,161,310,749,935,893,604,676,204,046,102,212,411,097,947,221,193,
931,670,328,862,181,121,689,818,669,424,529,508,891,947,156,058,765,635,266,
060,036,028,506,520,472,207,820,545,850,548,865,561,938,939,345,931,305,409,
139,177,341,874,751,381,465,422,524,677,583,751,591,903,445,050,187,205,082,
540,082,859,041,477,158,332,567,910,282,094,344,269,002,411,065,706,838,004,
887,923,546,583,197,288,161,362,478,724,468,499,600,180,930,048,925,785,998,
973,603,700,877,424,305,925,710,370,186,897,140,545,113,119,157,464,509,387,
272,321,259,424,160,607,751,407,922,058,978,980,721,456,653,824,595,475,580,
663,274,461,368,405,797,102,085,551,403,933,944,904,500,015,749,622,828,268,
834,405,385,195,651,032,646,043,023,931,112,461,324,043,183,160,566,190,095,
220,000,090,154,456,618,388,445,677,437,602,623,342,657,850,590,816,097,438,
040,882,677,957,364,025,718,998,728,871,144,663,731,344,871,972,447,713,983,
786,489,019,159,169,037,415,819,147,213,188,418,267,891,598,894,744,631,179,
112,451,870,419,792,485,390,033,942,022,535,312,551,295,877,679,930,684,715,
820,824,890,395,949,681,589,440,129,367,660,226,470,158,680,433,714,817,852,
359,173,494,123,577,394,792,496,881,307,828,787,602,673,073,132,814,735,364,
498,892,206,662,612,419,944,040,085,053,254,973,727,645,197,588,486,317,510,
753,036,408,405,308,354,946,749,479,978,578,369,762,529,830,783,223,193,934,
706,496,721,363,965,551,162,191,999,649,171,141,295,623,773,228,896,786,144,
036,948,296,807,424,747,686,900,166,054,810,874,640,082,718,346,991,819,384,
839,789,093,644,008,218,126,405,463,000,768,986,769,460,523,711,103,685,177,
267,598,078,711,952,416,749,776,774,092,334,411,954,266,784,403,400,082,995,
756,253,310,563,376,590,138,423,924,209,262,273,019,055,215,684,591,024,031,
390,338,339,410,662,182,375,464,264,772,995,826,277,091,428,182,766,059,465,
850,720,454,174,532,299,630,852,412,571,294,349,976,337,144,153,432,009,481,
859,005,389,818,284,813,828,288,256,049,695,052,699,389,395,337,068,287,864,
216,305,155,356,632,792,023,136,605,795,898,413,160,372,098,589,934,004,272,
787,893,009,804,870,730,993,683,048,482,414,171,434,497,727,919,673,504,248,
554,727,107,461,221,416,558,196,280,591,670,599,109,588,003,414,116,430,690,
690,793,124,459,823,400,954,994,772,594,245,453,400,911,317,553,342,487,702,
674,293,152,987,331,102,702,800,731,444,398,165,988,611,370,547,171,141,543,
274,919,375,190,729,005,659,842,316,390,037,678,936,087,664,275,103,723,060,
925,699,326,625,705,586,275,876,544,839,411,922,969,694,960,258,244,737,410,
424,926,051,272,949,753,039,179,560,237,964,032,426,060,515,472,065,201,194,
853,707,083,485,433,536,195,977,684,423,121,576,733,098,185,492,646,636,599,
479,070,242,739,380,730,039,101,468,494,563,067,705,296,173,763,349,089,457,
870,225,912,677,036,426,490,425,355,977,152,544,663,843,630,283,976,872,563,
071,147,334,090,626,483,714,733,472,025,083,754,365,743,628,746,492,068,798,
295,716,546,706,420,976,445,477,023,124,693,837,755,701,864,659,331,316,039,
220,041,400,336,642,956,518,020,011,665,793,481,232,767,423,183,583,111,921,
452,088,753,659,041,391,054,375,402,245,704,268,805,571,584,037,850,994,765,
896,525,409,161,242,394,358,457,094,534,706,085,494,846,524,658,617,861,149,
494,233,965,302,377,091,470,851,182,515,601,749,247,636,755,706,081,491,637,
596,323,603,947,352,386,572,961,918,785,828,888,920,490,404,619,570,075,305,
180,212,016,163,071,388,986,249,504,920,561,412,899,897,298,588,008,533,010,
695,319,824,231,197,917,003,585,307,747,410,407,538,141,278,402,513,577,119,
545,224,550,613,300,502,588,880,374,708,125,521,985,014,075,511,243,160,972,
101,293,701,794,477,882,485,677,879,082,031,231,596,894,544,804,480,799,156,
661,353,636,780,881,194,312,476,502,082,952,564,110,687,341,982,436,330,872,
389,381,695,373,137,082,630,901,357,331,750,807,258,423,516,829,180,061,746,
177,144,540,462,922,962,009,264,905,431,825,475,270,091,199,759,092,155,783,
340,473,145,540,433,414,738,305,028,648,074,621,509,936,281,999,817,700,037,
115,702,636,245,593,841,085,770,041,386,028,805,490,033,047,028,326,496,480,
378,223,846,064,269,807,862,019,421,926,019,187,553,820,425,954,921,273,046,
737,743,724,558,259,798,459,615,133,104,549,950,924,367,664,644,068,169,093,
012,323,577,985,042,604,782,435,945,253,920,337,807,604,033,982,486,699,295,
252,288,401,224,833,359,119,612,083,359,247,291,230,115,550,105,377,420,705,
031,346,189,104,255,467,352,214,318,384,204,638,602,239,172,207,648,871,199,
079,686,086,239,752,723,697,481,163,117,632,635,634,585,301,944,526,752,225,
406,830,334,217,278,815,684,959,948,952,750,399,080,331,491,724,637,900,534,
690,985,787,875,500,968,657,249,676,119,174,301,007,500,396,381,762,689,544,
593,652,749,990,555,254,130,056,105,614,936,150,536,658,644,466,806,908,852,
989,452,587,878,507,346,909,033,710,332,692,123,040,439,238,233,894,736,026,
770,954,336,285,445,060,831,976,722,861,809,003,588,892,030,261,419,750,267,
441,766,985,167,383,441,552,632,068,490,114,148,178,607,051,930,114,478,914,
791,289,340,562,823,568,627,647,120,658,297,609,359,689,564,487,360,372,010,
502,330,738,985,230,953,098,762,434,161,157,160,701,559,087,376,605,317,256,
068,259,152,266,223,009,869,624,080,421,034,123,945,541,872,068,309,656,666,
294,366,319,331,619,834,460,595,735,336,474,891,985,128,881,247,943,602,560,
678,982,157,985,247,110,186,848,431,411,205,682,149,860,659,195,076,255,104,
837,782,800,470,196,267,154,776,583,726,307,111,540,624,009,492,052,011,291,
766,793,500,112,694,719,881,841,945,364,316,929,807,462,836,216,617,365,211,
866,129,239,986,650,509,073,863,322,444,051,445,306,513,032,735,600,139,634,
155,865,633,290,192,624,893,780,599,983,584,925,244,926,729,961,383,367,446,
731,345,934,014,457,470,018,010,227,412,509,595,810,816,793,297,448,579,346,
275,367,726,769,361,004,937,378,624,337,540,205,085,955,976,096,198,038,976,
908,802,748,840,715,781,238,133,551,406,875,028,954,240,708,640,929,579,870,
146,095,549,532,255,964,932,989,652,008,539,608,166,217,828,152,396,022,757,
259,424,930,417,674,954,443,087,454,163,883,302,491,941,204,184,707,454,066,
237,441,468,517,223,382,529,001,056,270,855,644,254,894,655,280,576,585,207,
200,430,110,676,231,455,130,832,038,932,493,103,671,085,765,265,207,806,951,
944,897,441,844,440,823,820,695,956,479,132,642,183,803,246,418,178,877,307,
668,378,836,107,968,438,471,104,292,340,004,306,426,215,391,119,277,871,476,
414,704,832,952,861,777,120,839,677,272,674,412,254,978,747,430,342,946,538,
615,531,589,487,769,318,752,932,161,472,444,293,191,025,850,539,859,383,972,
696,893,825,753,835,509,303,416,013,092,409,150,892,074,940,810,855,782,282,
826,404,229,346,014,782,829,036,815,994,635,337,842,280,518,471,780,005,113,
692,058,792,188,397,902,335,013,343,631,252,859,153,418,141,647,476,686,347,
793,547,864,359,084,424,208,839,349,222,214,245,406,579,021,045,871,512,180,
520,757,050,565,657,875,414,834,402,680,446,184,086,155,411,970,727,026,326,
082,280,810,151,900,699,807,963,873,219,559,580,482,308,841,578,365,119,319,
678,897,611,276,322,118,529,470,552,771,032,994,772,073,850,285,108,446,742,
849,680,830,422,960,380,771,412,458,420,025,323,712,902,797,874,997,543,861,
657,584,403,570,709,240,995,362,587,728,833,307,444,669,828,668,453,185,911,
355,254,145,838,695,923,987,328,124,391,557,562,426,557,364,955,773,966,653,
215,156,511,991,370,434,994,904,619,990,444,156,288,374,858,974,823,211,758,
825,578,985,047,772,924,532,216,620,994,921,741,488,131,828,331,163,851,665,
105,385,710,496,193,923,384,236,269,979,592,496,088,894,240,069,968,549,105,
435,528,476,088,385,005,345,165,288,144,163,825,726,604,411,108,260,781,854,
238,769,646,268,699,831,281,701,811,412,290,916,145,714,852,270,531,784,992,
892,038,698,279,140,016,453,054,316,434,707,003,949,739,576,849,815,433,667,
168,148,187,437,313,633,379,960,388,851,068,309,213,507,680,621,578,480,514,
675,417,858,067,724,647,689,478,905,338,593,212,663,736,931,370,621,047,444,
268,492,152,179,764,681,054,283,773,986,427,072,854,817,436,580,220,539,400,
483,770,236,939,881,348,735,036,640,974,370,759,405,621,774,806,036,778,661,
212,765,516,243,700,906,807,779,240,367,157,281,636,852,182,012,596,180,593,
770,434,272,041,401,803,196,096,851,093,761,198,622,629,835,095,810,864,009,
264,049,719,353,491,451,740,227,725,299,329,523,858,050,884,845,483,493,834,
604,821,322,183,429,091,349,765,162,907,376,965,276,773,881,381,959,556,951,
088,767,610,976,248,491,912,380,484,425,717,110,068,102,780,461,883,230,141,
678,824,203,093,093,430,740,037,805,739,971,722,529,401,176,944,800,522,879,
552,040,370,047,495,764,239,224,479,435,048,731,719,872,551,819,805,108,786,
902,066,564,099,944,655,448,041,211,653,789,975,338,633,268,307,430,217,584,
536,708,740,010,779,189,551,684,528,359,355,212,043,528,506,397,474,114,024,
669,272,265,049,970,283,044,645,401,687,863,402,780,289,713,249,210,982,992,
332,102,373,623,679,249,863,939,828,306,200,445,182,656,324,517,344,695,206,
008,129,488,128,659,629,541,484,010,071,546,722,637,462,070,067,772,440,372,
714,736,146,620,690,140,153,404,538,084,420,042,306,139,565,145,292,272,718,
449,839,448,050,781,110,219,019,635,806,776,370,526,998,531,247,056,289,401,
552,880,182,815,957,655,784,793,368,566,434,676,297,825,821,716,372,828,105,
657,918,527,427,236,750,630,682,472,669,882,901,290,642,754,820,155,931,011,
395,514,900,300,996,641,836,416,550,617,504,105,881,856,392,751,269,668,993,
215,614,097,879,028,331,068,083,292,812,525,308,767,092,472,649,999,825,621,
012,341,843,864,072,344,593,504,888,133,987,348,139,157,200,118,300,904,875,
454,240,063,197,512,135,736,595,627,482,853,508,413,011,500,766,757,977,371,
895,907,193,419,035,233,209,698,820,592,075,051,856,517,519,276,780,113,773,
420,937,061,922,716,917,422,081,008,035,672,671,250,749,340,875,511,423,201,
702,518,862,481,446,855,997,318,809,465,406,252,779,881,700,546,895,120,368,
260,588,714,909,110,063,494,132,331,191,568,543,205,758,931,750,137,509,087,
298,974,466,508,727,911,872,348,214,252,236,469,943,775,397,056,949,775,830,
920,645,495,681,880,611,204,063,719,746,466,519,499,138,426,230,911,927,993,
999,772,607,335,783,080,796,100,104,226,722,541,674,361,238,583,770,703,489,
498,632,703,729,419,116,103,978,524,191,014,801,794,098,199,731,263,331,973,
874,181,400,090,980,831,399,387,766,904,793,965,880,185,034,402,229,062,670,
684,211,566,752,927,738,440,777,656,532,900,917,535,633,848,641,689,301,323,
618,540,723,495,240,764,822,987,050,307,586,881,559,779,630,673,173,114,046,
041,405,867,758,320,316,933,046,545,227,669,336,946,539,216,850,044,663,858,
400,598,386,182,983,528,236,802,973,873,918,392,451,355,189,134,851,382,223,
879,330,291,385,822,420,507,038,395,460,476,455,662,420,325,837,968,644,771,
988,060,366,433,282,935,094,619,577,794,458,822,700,970,606,971,655,434,136,
575,497,419,890,750,506,938,083,108,600,270,120,656,393,887,618,672,044,549,
200,511,905,793,111,655,851,934,039,387,211,576,999,536,484,733,456,155,587,
903,904,542,970,664,449,813,181,795,777,880,361,337,144,237,699,170,938,635,
659,725,484,056,768,009,317,649,495,582,292,299,459,360,937,939,935,865,921,
927,902,505,182,542,297,432,032,325,303,605,508,222,418,518,238,058,389,687,
364,953,730,921,667,337,487,477,617,549,776,948,469,485,188,159,702,295,942,
130,977,196,379,803,345,499,917,394,893,264,252,731,507,928,179,571,762,698,
665,998,099,123,500,223,753,196,401,459,511,844,749,334,810,619,125,648,448,
369,260,500,337,834,931,804,557,698,146,359,234,368,617,603,746,254,740,588,
471,210,412,068,198,323,584,091,472,543,292,502,157,504,579,570,264,835,474,
263,224,762,298,262,306,967,944,211,787,473,859,566,879,731,745,146,743,521,
435,159,664,379,950,819,005,177,117,536,909,793,249,160,471,364,291,655,589,
760,800,647,069,015,672,285,539,772,722,436,850,143,491,719,352,414,564,421,
064,380,009,068,529,171,613,459,142,294,932,431,730,977,258,981,975,956,113,
085,213,903,359,292,945,556,641,638,635,984,157,474,759,137,998,477,306,375,
331,672,726,312,820,552,614,014,977,589,651,046,624,028,715,537,387,241,850,
106,071,540,493,493,851,377,005,672,213,101,474,679,524,212,856,931,991,734,
380,771,944,537,485,548,929,515,358,610,329,439,546,690,245,419,627,920,259,
366,753,105,603,703,960,091,058,935,082,360,000,066,527,179,373,218,234,836,
670,826,131,221,472,760,390,929,234,456,303,238,674,915,458,300,444,398,315,
068,417,435,713,747,307,626,165,931,578,989,618,966,769,304,429,240,285,565,
480,873,451,591,987,965,642,267,024,273,901,769,687,557,247,454,087,838,084,
279,872,542,745,750,362,045,005,558,462,662,297,248,053,368,218,065,449,161,
587,520,214,303,694,729,728,429,092,378,459,416,966,507,107,391,745,823,787,
422,450,070,640,577,450,297,040,153,339,253,204,897,242,797,631,669,765,511,
348,253,851,071,803,911,755,177,401,061,223,243,362,707,348,111,124,217,896,
304,193,694,815,889,826,621,580,105,080,794,144,743,570,400,146,457,979,396,
666,785,892,215,650,815,689,712,628,583,896,165,989,085,457,128,370,025,436,
678,555,490,496,963,363,023,061,722,283,220,245,602,675,487,145,967,668,308,
152,240,257,996,420,916,108,739,492,798,531,239,634,852,163,038,204,998,793,
022,047,134,902,596,534,697,709,101,235,965,853,218,157,683,424,428,193,555,
649,187,674,038,215,370,871,625,084,653,314,232,809,137,735,614,441,334,299,
374,426,902,703,152,054,223,706,384,592,149,584,145,579,708,244,997,679,166,
640,472,150,346,397,130,794,955,524,676,658,562,270,076,213,917,853,282,988,
444,484,599,959,041,315,911,700,654,363,139,208,296,642,254,190,583,468,224,
935,835,905,277,693,167,578,876,685,258,324,838,016,182,041,852,336,508,817,
719,725,804,463,617,422,010,932,467,926,730,683,609,907,410,505,458,637,134,
981,367,068,203,826,761,601,578,283,725,736,726,978,211,318,250,652,022,874,
694,194,598,277,409,966,608,372,765,751,444,990,596,574,376,178,606,702,177,
255,378,583,152,674,574,987,136,998,245,484,868,487,845,483,155,302,348,128,
511,668,163,851,765,601,346,834,083,261,027,651,475,927,164,337,921,949,941,
204,998,228,668,719,379,207,338,005,825,827,031,230,314,244,864,858,570,327,
222,323,445,520,050,476,805,047,498,067,234,334,087,435,891,486,994,418,787,
081,003,159,833,829,011,572,307,381,526,916,732,461,738,630,272,491,506,052,
817,906,779,865,143,980,518,487,069,077,167,230,379,977,744,244,238,173,235,
488,624,825,037,482,272,942,769,950,268,405,590,897,857,822,397,685,344,425,
238,612,829,193,186,387,475,478,395,256,443,100,453,082,207,019,464,534,383,
762,028,939,802,801,434,662,970,224,383,193,821,271,185,241,144,587,829,433,
255,648,979,896,080,488,301,110,017,245,867,604,668,874,574,959,848,318,600,
225,084,721,138,363,336,026,022,475,563,308,528,770,160,321,259,908,186,471,
584,107,492,035,952,193,096,069,046,780,742,387,642,704,264,742,685,840,584,
772,491,717,173,205,168,623,468,020,333,182,519,687,258,042,561,919,267,794,
035,284,081,718,308,308,056,409,482,291,254,312,825,298,153,475,402,185,409,
411,439,080,851,545,491,434,280,448,117,603,205,586,977,324,807,838,768,707,
670,672,277,673,776,915,600,072,063,654,413,964,064,881,659,818,535,634,084,
132,862,664,213,985,013,182,171,836,471,621,154,952,770,750,607,816,284,949,
089,791,629,996,909,334,241,741,455,107,055,114,702,311,191,044,125,210,008,
406,035,386,244,047,540,038,710,526,923,621,590,531,159,381,585,635,538,061,
024,909,321,086,010,190,019,916,496,182,805,313,584,640,425,656,891,801,837,
073,720,861,982,182,061,103,956,536,267,794,126,138,902,866,395,367,543,077,
994,384,106,369,009,725,148,198,233,096,182,933,827,608,296,842,616,818,895,
983,043,564,741,147,297,944,793,026,781,593,091,315,356,035,237,907,340,355,
723,472,106,304,625,245,083,069,274,749,106,964,279,169,989,744,809,917,501,
531,495,917,642,529,509,130,720,508,547,427,280,757,289,328,501,046,968,302,
378,027,602,577,873,695,731,093,548,515,486,939,017,489,353,350,714,854,394,
293,185,318,431,448,357,995,129,647,938,613,281,285,745,546,208,510,762,918,
454,681,093,008,701,161,018,991,538,990,370,164,286,238,030,490,378,024,010,
303,013,910,927,089,409,217,346,344,795,451,304,096,619,443,095,874,976,156,
022,411,446,769,900,125,766,347,277,296,579,462,416,868,997,649,981,263,810,
202,452,290,056,603,013,232,027,614,810,134,837,528,660,909,482,746,506,426,
667,271,839,380,910,842,529,252,337,711,485,217,216,458,728,567,480,385,333,
423,066,957,727,859,918,674,141,685,058,253,927,330,132,608,336,980,120,372,
418,823,231,840,807,636,965,693,580,322,719,629,441,766,835,011,926,615,415,
881,040,436,696,104,017,972,727,744,641,814,351,087,683,088,465,078,954,839,
505,587,481,480,750,705,412,310,394,126,312,398,679,158,290,889,897,647,363,
194,868,205,597,817,072,715,414,840,569,093,443,284,322,751,853,422,604,136,
084,473,865,113,519,907,653,459,903,386,590,105,421,403,550,733,375,270,676,
655,285,022,000,785,085,983,158,919,414,814,147,396,741,819,868,664,100,552,
841,785,323,268,548,135,045,325,137,609,542,770,119,029,294,665,292,826,540,
007,445,154,733,213,208,454,558,307,181,255,226,254,262,928,270,277,171,347,
777,614,153,953,199,097,869,538,333,284,173,937,979,910,424,461,566,470,794,
638,396,565,638,308,918,921,795,057,164,050,082,444,097,574,211,365,880,227,
079,342,118,328,364,819,007,677,122,384,929,684,619,156,418,246,977,578,978,
683,264,124,900,533,616,411,897,112,401,658,946,779,741,493,484,969,391,168,
322,062,193,876,786,789,968,602,204,860,513,191,745,647,710,155,932,526,585,
062,885,823,011,725,617,285,424,068,069,393,075,764,677,945,596,801,405,728,
531,298,460,291,297,569,228,467,948,997,222,089,667,999,403,652,236,053,506,
381,443,376,397,476,081,889,517,666,181,058,634,904,590,967,195,816,366,066,
753,951,816,880,386,373,370,207,910,133,511,897,761,931,052,240,187,587,848,
539,589,530,350,907,469,119,271,300,568,376,338,015,783,099,547,735,080,704,
396,774,798,960,237,956,109,204,909,624,906,037,742,336,285,393,593,223,267,
153,045,922,287,901,900,793,011,462,878,800,200,274,125,647,468,223,679,934,
125,949,678,556,175,943,660,698,202,142,386,418,451,031,033,958,674,978,178,
021,645,190,783,511,142,404,464,652,583,256,442,868,950,234,443,845,868,599,
964,334,349,515,067,383,402,611,663,450,084,886,329,981,940,892,617,772,619,
567,517,060,003,037,362,707,373,053,760,879,549,594,334,261,114,309,194,484,
516,586,392,275,270,368,677,580,570,563,910,715,132,188,264,607,366,916,855,
428,024,415,573,391,105,032,878,526,862,135,991,745,931,788,715,511,211,692,
611,750,471,131,732,305,242,248,656,239,275,496,384,848,521,520,312,835,785,
027,390,586,581,142,039,852,369,908,484,735,712,805,755,811,074,260,504,803,
039,949,340,256,343,974,082,905,575,790,888,491,528,593,988,623,176,421,515,
236,214,163,743,743,205,937,267,006,096,782,869,016,215,279,662,985,903,404,
356,388,087,084,412,783,923,118,091,888,233,110,724,085,739,849,053,341,572,
259,801,483,691,333,291,556,834,814,360,968,994,322,909,524,186,249,946,604,
047,841,292,655,776,984,771,030,578,945,729,618,765,392,573,956,558,248,919,
922,992,794,434,046,502,291,708,797,269,647,612,018,943,349,227,616,797,448,
365,162,873,864,701,258,642,258,553,839,349,210,960,604,348,830,347,163,744,
655,441,696,416,519,544,064,494,420,314,561,395,345,939,476,922,184,159,785,
177,626,839,535,816,756,994,788,677,162,856,012,924,594,167,764,850,725,924,
893,102,383,848,264,985,903,615,097,015,277,840,593,130,860,479,398,385,034,
498,580,322,539,151,000,344,827,779,691,502,336,115,556,818,911,600,013,861,
554,532,696,447,594,720,742,142,025,199,379,591,614,370,388,501,040,474,448,
972,581,942,987,709,150,111,928,777,017,193,528,203,387,478,206,964,367,710,
199,463,908,327,549,832,194,976,076,272,806,866,072,131,764,961,977,778,140,
894,127,293,094,252,187,891,014,548,016,968,002,810,126,275,833,236,611,893,
836,189,411,179,368,906,662,327,828,490,847,345,428,577,594,435,015,701,407,
369,319,719,406,543,606,679,511,359,557,207,421,153,415,702,331,201,665,236,
070,345,909,991,792,482,396,340,796,574,772,676,013,506,911,493,553,903,432,
662,674,395,238,735,186,308,435,301,551,275,612,430,302,478,674,065,644,912,
012,863,788,291,476,329,251,538,492,806,846,634,704,857,899,985,470,369,896,
982,486,309,144,941,584,767,457,229,929,179,379,871,025,421,196,862,442,960,
146,372,319,488,219,320,327,902,135,841,877,495,144,489,196,318,465,938,895,
909,003,906,006,758,958,894,650,625,488,800,788,300,177,470,031,479,378,435,
118,013,650,005,906,761,856,594,683,392,024,461,895,768,282,360,886,283,540,
183,997,198,300,472,049,707,603,971,932,576,707,370,623,934,510,188,967,839,
460,295,147,623,810,932,552,876,601,361,898,907,978,417,278,204,885,009,072,
060,548,799,641,329,829,340,657,462,899,344,997,608,374,489,472,184,489,675,
687,707,299,540,931,564,770,394,384,144,939,550,725,045,737,428,770,194,005,
137,966,841,540,136,757,165,970,689,023,032,598,565,482,088,281,096,337,580,
601,328,648,920,723,334,456,061,532,415,611,780,576,733,422,506,584,086,738,
839,010,851,160,843,123,509,114,921,795,374,936,193,673,213,320,647,980,057,
008,425,385,832,609,134,938,572,797,567,976,478,438,226,282,973,046,062,590,
124,976,971,107,849,876,788,715,399,527,907,719,169,143,277,697,671,967,973,
607,563,021,575,346,748,900,643,918,614,319,196,529,820,900,167,685,778,561,
337,002,962,667,852,638,698,288,210,606,330,546,045,542,480,966,480,008,002,
910,959,873,570,534,969,851,533,921,984,008,897,344,210,940,591,064,567,551,
648,911,609,637,220,147,760,804,628,032,712,518,867,699,521,374,101,425,089,
211,054,572,630,508,019,642,572,901,859,556,894,422,614,974,451,930,819,669,
752,739,025,757,134,776,414,102,830,748,308,010,421,930,372,589,451,143,672,
940,902,953,242,755,498,078,212,004,942,895,687,880,704,141,451,653,721,356,
531,367,451,589,878,828,237,463,652,409,747,445,197,451,746,578,225,813,091,
905,620,966,989,561,076,106,078,834,930,726,925,301,803,749,443,520,081,810,
116,467,151,746,398,908,997,236,355,113,236,295,048,209,617,985,332,504,984,
808,605,822,958,815,938,743,557,609,437,256,493,339,267,647,958,843,764,163,
033,368,914,721,414,642,460,600,671,386,816,855,653,413,219,356,055,211,409,
549,395,171,628,479,744,292,339,341,261,166,148,983,553,396,347,735,934,457,
652,153,113,542,266,573,169,053,785,545,320,548,752,935,794,890,464,491,531,
909,158,331,072,864,826,302,874,405,219,484,737,412,370,032,732,000,121,825,
186,794,984,315,066,286,112,036,014,488,085,647,229,127,617,889,364,811,351,
971,649,556,161,017,272,595,763,027,094,668,626,884,630,145,952,868,814,268,
078,654,005,420,784,895,729,322,322,968,992,865,433,360,923,209,688,115,217,
693,864,213,419,214,534,632,583,278,605,666,796,313,099,021,797,032,718,158,
766,625,330,373,389,612,962,851,198,946,181,263,283,280,406,003,953,222,240,
274,282,108,771,273,892,835,524,839,266,125,514,302,172,647,267,603,430,072,
051,579,040,380,100,459,294,521,477,895,389,321,451,197,743,941,549,415,167,
419,006,167,735,169,040,884,235,165,494,537,265,704,767,171,722,375,419,786,
918,676,381,629,912,343,874,911,479,603,499,640,763,356,524,116,465,417,627,
432,454,987,712,515,010,121,672,928,616,233,836,195,217,281,088,923,950,685,
247,460,350,237,924,110,106,813,087,581,049,494,146,779,656,501,987,328,843,
708,074,934,471,115,634,860,759,222,886,282,479,786,641,011,243,827,077,835,
049,004,269,711,180,807,268,088,692,564,651,150,592,845,066,886,279,925,574,
339,453,758,006,690,210,391,626,075,126,119,382,463,698,540,135,565,166,388,
044,434,535,705,609,183,425,352,129,154,037,213,454,538,628,999,855,477,864,
660,807,011,551,066,503,867,775,220,917,964,985,842,797,331,422,803,879,444,
278,979,292,170,773,303,227,158,158,551,520,528,637,695,644,055,804,159,714,
100,624,893,617,768,111,921,874,233,031,777,050,069,108,146,286,742,277,157,
938,946,798,932,229,016,703,814,651,065,980,481,980,571,640,437,744,468,271,
511,709,951,240,904,809,496,101,911,777,000,604,051,656,539,023,004,958,038,
532,920,486,733,755,932,050,909,242,201,113,050,801,668,777,788,621,613,541,
203,111,358,818,663,961,301,756,595,394,348,548,855,150,762,535,142,984,013,
317,272,604,181,751,118,930,316,774,041,062,854,956,653,958,317,486,268,251,
197,905,553,481,518,255,964,501,839,832,032,583,064,052,188,260,753,628,603,
824,260,646,585,444,901,943,274,923,896,574,219,577,555,320,462,123,174,698,
527,477,204,566,993,432,889,267,677,765,507,810,251,940,547,756,376,306,185,
700,855,514,983,454,341,769,037,990,272,874,389,956,096,288,205,281,800,635,
209,339,233,474,922,757,746,786,308,234,948,325,119,077,326,468,181,944,369,
232,418,034,023,704,867,658,945,906,137,532,477,820,282,793,383,805,056,698,
668,028,491,684,456,638,896,135,483,208,290,195,373,610,703,580,933,293,607,
098,289,630,787,559,186,065,120,614,107,855,015,782,321,699,042,563,430,873,
590,777,316,356,231,329,072,204,012,821,616,374,700,893,390,494,447,907,518,
323,500,670,074,615,299,608,535,994,708,503,316,500,317,240,932,168,046,226,
708,053,635,295,052,022,436,822,712,312,197,244,800,779,046,275,224,145,420,
314,616,740,885,512,454,554,739,155,628,248,671,391,025,546,580,695,130,150,
535,891,387,725,002,379,196,177,247,443,387,885,403,919,818,517,735,646,611,
412,049,149,099,225,400,860,647,187,272,763,282,230,177,789,637,871,630,593,
045,551,747,267,376,241,228,502,760,438,145,456,868,109,353,803,175,043,488,
879,105,105,138,637,329,879,850,833,394,937,292,351,535,014,262,532,594,587,
245,232,953,590,543,918,713,744,717,964,615,803,049,909,155,410,699,182,556,
959,963,498,190,500,604,190,066,131,799,466,018,010,971,318,055,235,511,931,
570,840,035,005,008,240,684,675,090,261,463,257,359,775,418,533,120,493,676,
902,754,454,519,159,284,752,557,299,215,434,657,853,564,007,389,519,955,791,
737,349,097,147,351,697,851,998,846,342,414,198,064,471,453,359,239,717,103,
984,554,463,389,215,012,745,783,587,730,106,191,701,742,017,434,684,267,470,
351,272,244,525,182,066,171,992,395,001,573,832,491,363,380,858,711,839,861,
103,950,436,390,373,830,572,167,050,674,276,266,025,476,730,203,775,677,581,
395,153,498,060,248,232,662,676,715,060,353,420,586,213,002,529,809,414,978,
717,449,884,134,142,001,522,515,572,127,460,213,964,179,211,564,872,418,326,
516,231,048,052,188,787,030,236,006,109,228,619,969,197,757,162,700,403,818,
916,307,163,158,072,439,029,399,311,829,178,473,055,200,167,845,026,394,851,
595,528,461,829,142,531,218,466,295,050,232,440,852,795,483,027,099,088,511,
272,556,654,012,827,557,169,823,550,132,798,171,119,582,893,199,394,184,205,
130,739,271,521,014,206,854,313,985,421,814,364,788,435,220,295,931,416,805,
805,709,548,376,514,609,711,267,897,251,567,943,681,887,596,915,277,247,316,
693,799,402,257,859,947,931,480,223,231,408,911,839,353,688,554,184,658,182,
019,370,689,737,247,125,979,972,309,538,705,684,840,828,924,117,177,504,988,
252,430,578,591,204,959,921,389,367,253,952,767,022,583,433,572,073,881,828,
950,798,045,044,701,165,044,568,756,712,931,117,353,398,737,757,407,859,430,
549,662,805,180,862,226,644,439,693,955,578,057,428,536,306,062,293,375,954,
819,543,836,205,304,401,880,013,822,156,653,661,429,828,443,783,168,106,619,
193,839,976,224,983,948,965,089,020,799,400,671,266,863,071,696,462,724,844,
597,799,316,761,617,391,214,241,341,443,470,907,968,025,616,624,956,221,419,
052,827,026,458,358,332,609,405,477,888,337,279,942,677,957,203,618,199,213,
289,125,671,313,882,932,699,452,633,934,868,435,582,595,528,049,785,507,814,
595,477,781,655,129,059,227,715,542,547,877,748,718,286,179,578,806,891,280,
759,021,149,081,303,991,024,119,829,203,381,407,430,253,113,285,438,691,751,
354,473,949,837,885,545,627,190,703,640,076,448,166,357,783,317,137,021,062,
354,910,538,113,494,899,100,989,244,404,222,444,981,498,571,718,273,191,329,
112,670,933,432,064,145,335,680,921,369,616,604,429,992,698,423,954,506,982,
365,067,247,000,756,887,661,060,288,330,638,770,527,634,860,329,916,947,656,
850,796,321,945,054,161,979,420,235,065,254,649,871,672,777,616,813,258,438,
559,484,498,386,911,155,650,342,687,785,761,303,651,208,792,272,124,176,390,
357,613,438,438,714,140,232,308,510,803,411,390,486,961,288,604,659,417,548,
423,527,747,533,268,163,237,527,992,945,821,510,384,657,024,343,233,471,177,
304,048,426,518,267,641,035,128,827,462,609,225,641,787,792,160,933,559,589,
286,321,634,408,794,266,953,124,018,680,796,930,370,599,899,326,926,902,574,
043,712,072,158,118,592,438,682,853,888,498,383,587,482,098,367,342,706,867,
040,747,504,820,717,669,554,880,662,092,973,153,125,743,612,398,101,689,087,
082,543,519,936,733,917,289,140,713,330,667,039,553,109,402,230,183,517,029,
940,844,384,253,718,454,444,545,533,466,486,098,329,031,877,570,636,748,100,
583,606,555,381,226,093,372,938,308,768,267,019,086,935,970,863,906,992,197,
517,893,383,228,355,141,865,342,591,169,666,488,699,223,263,530,089,901,020,
824,570,306,492,034,673,779,700,387,774,881,809,009,359,225,215,545,246,772,
713,155,984,180,200,313,764,240,142,512,584,766,068,404,571,840,596,959,822,
614,138,920,712,301,571,191,911,798,536,627,929,814,239,323,982,621,360,059,
763,678,791,970,084,024,630,013,053,001,686,885,834,005,505,824,467,445,071,
927,471,664,024,249,833,822,297,525,253,854,720,277,678,545,147,172,324,200,
273,902,982,180,716,484,373,288,357,508,889,610,250,507,906,321,125,353,084,
109,577,593,500,184,615,774,787,592,140,713,130,292,419,741,401,539,814,329,
414,608,937,091,053,954,041,449,282,336,840,606,153,796,193,383,410,404,180,
569,995,399,691,718,517,878,105,223,077,045,178,134,389,138,213,803,319,922,
695,097,026,720,363,636,174,738,351,214,988,914,570,272,603,827,465,085,295,
650,077,312,422,030,498,967,290,853,384,397,557,587,145,203,949,793,973,009,
017,111,284,846,311,420,962,530,335,083,869,177,162,424,827,655,034,445,430,
605,761,914,930,169,470,355,896,704,105,446,124,842,258,635,401,072,046,455,
610,777,062,273,265,994,936,364,614,920,036,231,863,556,282,095,994,903,786,
214,018,202,457,611,010,009,487,276,291,390,213,564,849,360,189,001,424,096,
216,722,528,004,760,712,457,145,338,700,943,226,148,086,251,581,616,444,301,
377,596,753,138,877,792,221,173,856,728,994,216,045,050,676,600,919,938,593,
510,338,981,735,769,231,556,801,081,619,720,310,776,804,388,874,969,032,027,
044,510,646,759,525,452,827,769,946,857,203,266,325,426,242,553,029,960,708,
101,973,751,186,286,580,898,435,331,011,294,802,024,538,905,426,700,088,316,
174,249,381,394,834,245,003,651,943,417,902,537,710,551,119,240,127,704,583,
521,496,274,563,799,363,646,609,510,705,058,814,062,562,456,702,846,485,896,
621,444,034,622,984,475,269,546,810,877,358,762,020,346,656,319,009,693,490,
964,569,278,571,776,762,256,317,360,440,249,971,902,063,980,164,204,914,866,
900,114,805,326,999,091,100,202,481,841,486,687,486,695,193,409,623,133,463,
977,202,385,153,110,974,153,572,261,787,603,304,307,796,804,092,102,890,624,
402,341,589,674,490,614,826,072,807,343,006,888,591,110,435,617,533,591,700,
342,801,271,778,610,687,746,409,306,013,380,569,301,756,410,085,753,932,589,
078,610,339,341,232,692,934,362,118,922,799,545,345,326,832,160,437,635,021,
357,377,285,254,862,558,809,655,223,870,922,521,278,837,513,512,398,113,142,
662,570,550,667,351,029,692,364,382,128,048,237,038,477,233,487,074,403,308,
657,924,824,012,154,607,238,409,289,812,581,172,388,145,072,439,399,090,037,
569,797,782,025,455,305,488,141,720,147,224,548,126,687,658,676,128,758,196,
039,127,743,208,886,583,619,959,468,425,151,971,138,756,859,501,050,135,650,
826,134,701,153,548,232,208,425,958,464,186,432,139,837,315,432,145,798,026,
883,964,793,901,576,823,801,334,410,890,592,051,246,588,068,491,185,275,153,
403,437,584,963,743,119,840,916,396,598,066,518,737,265,758,211,684,341,778,
282,159,927,842,934,232,607,669,830,520,852,476,808,330,670,444,454,106,681,
642,741,443,434,748,435,105,392,420,483,266,060,864,396,337,901,828,391,952,
163,924,440,328,914,947,174,403,397,040,120,027,592,642,419,210,026,523,128,
936,258,685,016,518,283,784,804,754,330,153,847,130,246,485,824,193,022,471,
351,125,013,710,424,252,502,215,020,020,293,461,898,525,699,135,437,858,162,
580,013,312,841,175,511,562,211,184,933,274,043,186,207,188,802,722,303,774,
598,908,567,034,223,917,182,867,922,044,540,016,844,383,497,943,984,022,805,
764,582,848,585,750,617,498,248,295,257,095,457,728,379,870,167,636,046,077,
949,151,066,225,910,393,951,104,832,601,724,300,781,921,765,130,138,969,895,
187,323,833,814,989,304,876,256,605,605,344,319,790,817,096,990,628,756,907,
834,046,168,627,049,411,879,753,929,075,459,606,932,582,963,607,127,734,433,
048,332,759,198,174,515,044,101,895,125,599,876,867,549,889,716,660,339,031,
002,270,372,675,493,109,354,515,087,363,751,184,899,421,286,184,476,482,767,
686,358,350,683,016,074,491,135,106,857,248,011,157,995,720,535,192,299,761,
626,355,214,144,777,730,409,459,754,762,137,302,485,599,434,123,387,718,898,
973,189,840,354,113,730,876,001,136,945,204,177,585,238,350,215,424,092,082,
344,949,872,207,594,194,212,495,549,206,097,789,845,285,170,866,476,995,349,
817,918,920,027,787,130,380,237,624,799,574,683,107,422,770,193,442,174,058,
528,878,960,945,068,690,148,209,178,748,274,205,589,719,612,464,003,553,321,
222,076,724,175,657,400,710,188,930,403,301,065,245,416,750,420,050,974,566,
523,914,470,737,431,114,536,062,011,350,786,862,265,620,164,830,140,755,381,
211,053,302,535,241,321,738,344,346,211,971,932,590,575,109,411,771,010,187,
824,634,405,661,626,811,474,108,848,611,327,289,458,571,686,814,314,056,760,
238,056,950,552,290,013,239,065,971,752,966,613,766,538,378,790,925,248,047,
507,528,310,444,645,820,435,125,589,517,270,107,182,620,208,919,177,443,689,
733,751,858,504,899,849,879,120,573,860,373,372,255,271,525,290,275,867,050,
523,756,476,499,580,804,051,545,637,544,302,911,788,945,458,311,983,837,184,
334,788,693,191,452,305,442,471,617,458,898,887,526,813,346,916,839,299,531,
729,796,177,885,997,380,392,941,519,325,291,275,442,933,739,559,571,317,670,
649,253,943,275,912,549,283,026,390,822,444,612,080,561,575,935,361,881,507,
515,595,910,508,061,312,288,705,588,230,641,920,911,455,968,720,636,684,750,
405,248,300,181,152,330,685,311,592,187,190,565,975,052,881,470,676,165,895,
586,676,201,645,977,095,262,754,598,381,690,804,085,498,880,796,042,738,133,
717,752,643,944,215,691,370,652,896,031,307,815,232,804,765,202,353,325,058,
937,125,117,452,076,692,163,597,386,663,921,781,460,409,544,518,082,176,908,
087,749,963,263,800,290,671,796,187,274,945,319,223,998,141,397,337,092,461,
990,266,070,735,607,267,006,024,552,615,050,487,270,658,985,450,403,108,655,
277,815,356,962,583,831,232,980,230,485,762,983,818,391,844,843,768,328,722,
603,408,001,913,834,399,817,902,995,538,788,083,668,719,737,724,152,612,972,
159,188,299,262,070,271,097,112,079,368,050,304,692,306,379,377,508,279,239,
716,499,462,929,352,223,506,847,055,085,713,349,384,160,388,986,472,061,733,
641,697,061,628,364,326,630,472,067,789,934,561,551,094,430,224,606,170,546,
316,390,281,935,094,404,209,050,000,126,562,753,150,966,513,386,121,305,994,
821,011,900,352,846,292,588,788,499,162,378,202,720,469,586,400,180,564,315,
486,403,606,736,292,138,274,783,445,077,994,537,819,541,773,273,700,433,124,
832,179,195,558,520,498,549,925,095,130,745,692,356,571,624,005,750,169,312,
661,044,014,519,794,370,155,330,135,191,857,951,118,140,397,021,065,055,202,
083,829,018,047,361,194,638,207,814,343,143,714,186,192,219,089,321,718,159,
940,883,979,642,190,797,369,792,441,728,410,579,205,276,267,552,371,490,141,
875,303,450,749,264,339,395,851,271,545,152,378,664,025,872,372,359,506,570,
177,441,784,524,018,525,463,374,883,559,667,549,297,484,343,099,568,593,202,
279,023,738,431,222,066,474,641,741,358,315,782,457,147,792,677,964,035,362,
051,087,632,392,013,943,941,250,195,027,756,826,156,088,617,534,518,687,511,
938,904,743,820,625,716,003,505,424,616,205,103,798,301,164,579,622,145,394,
746,087,713,868,832,112,742,641,673,888,245,227,325,371,992,523,229,158,147,
406,310,317,437,547,659,610,222,469,814,900,106,868,284,718,377,413,347,974,
472,611,465,124,601,475,273,477,460,019,354,560,916,478,442,970,833,930,462,
357,179,930,167,491,850,125,274,384,012,163,676,928,200,845,444,737,810,092,
314,334,414,875,014,069,558,447,185,831,315,087,054,317,792,404,410,147,896,
101,550,544,282,776,763,253,014,999,250,603,835,866,286,110,705,474,698,020,
959,503,238,968,547,392,507,302,340,793,514,074,489,371,128,598,256,341,531,
134,058,017,652,588,144,002,623,379,634,532,248,836,030,267,699,876,892,550,
081,013,475,377,821,113,652,058,447,069,932,685,072,617,887,135,443,339,445,
532,668,459,691,532,209,537,171,372,362,344,929,460,067,125,360,548,449,806,
623,955,857,809,711,750,697,707,269,448,855,932,559,069,014,563,244,648,553,
835,377,657,499,310,676,693,601,606,616,381,389,404,370,076,161,257,654,053,
955,533,789,725,985,366,980,347,279,601,795,545,361,263,928,824,137,700,944,
385,076,573,831,387,215,705,515,503,943,679,252,177,466,660,285,115,925,734,
997,876,870,350,896,896,520,400,658,151,642,961,379,836,410,063,106,969,313,
571,502,176,832,416,305,130,130,435,875,880,127,219,630,049,934,194,365,965,
460,258,069,881,791,080,983,407,496,102,567,649,344,746,842,730,681,486,121,
954,030,468,189,374,024,716,519,752,416,975,082,867,709,521,842,703,829,630,
493,010,502,618,699,050,963,085,592,190,799,521,890,568,487,056,134,912,409,
839,878,796,141,980,450,751,449,973,117,697,771,421,930,986,981,594,169,427,
425,121,236,655,288,395,505,289,422,237,924,138,889,836,141,025,624,348,145,
113,575,660,105,170,467,556,948,508,297,846,606,243,981,946,347,651,340,053,
976,929,389,333,317,753,012,980,566,113,211,062,056,284,039,937,833,679,985,
113,094,513,617,862,729,511,983,955,613,981,418,129,305,219,860,499,338,980,
760,678,234,839,840,017,686,977,105,778,391,857,432,202,000,048,888,736,107,
497,327,342,025,100,874,089,453,400,198,614,010,764,565,369,826,532,360,232,
308,056,231,779,009,100,735,711,619,696,640,263,060,162,655,003,142,436,983,
856,617,369,151,353,291,883,523,159,797,775,029,663,410,775,297,561,238,231,
158,852,558,274,437,809,200,172,246,409,258,633,277,556,795,865,463,534,163,
906,152,320,093,503,660,563,157,099,271,829,517,415,202,379,859,330,271,145,
601,169,449,658,288,976,360,222,965,979,365,271,230,747,932,109,291,821,951,
613,216,961,995,281,571,105,748,197,893,760,282,457,036,949,216,368,980,194,
833,571,701,493,846,686,383,183,801,185,518,653,172,453,739,633,068,459,313,
095,217,573,134,797,533,225,897,213,753,345,701,684,173,836,049,916,525,002,
541,383,208,301,563,950,626,206,523,230,611,410,491,374,531,652,954,790,353,
587,481,251,806,045,108,795,553,703,716,755,728,440,291,164,288,368,907,677,
366,890,146,913,344,951,126,092,101,324,885,110,497,539,006,168,983,947,443,
678,092,240,684,777,557,133,924,595,410,648,798,795,051,529,171,095,742,434,
073,785,558,291,341,620,702,706,602,839,003,071,628,631,997,977,367,584,686,
980,061,051,702,922,390,127,859,743,959,563,536,460,189,250,346,255,507,839,
950,936,975,548,666,043,613,193,423,103,518,562,843,033,250,718,910,042,901,
302,918,526,119,844,060,279,713,211,103,127,727,222,817,726,536,128,673,868,
036,369,831,660,699,883,261,522,115,429,161,987,458,898,680,421,923,851,759,
003,681,387,287,798,945,783,011,273,413,421,665,273,076,314,542,154,665,819,
931,020,504,578,987,385,434,659,266,384,172,630,520,410,601,853,537,023,834,
917,084,785,749,790,452,669,693,148,911,812,885,063,159,385,132,381,699,892,
430,621,738,001,490,090,970,601,092,601,710,719,335,006,704,375,805,507,430,
085,518,246,404,035,455,788,987,604,555,480,465,496,434,964,875,837,156,301,
187,141,961,848,272,052,488,835,057,781,352,029,678,224,483,953,021,305,114,
179,682,641,189,193,313,785,460,408,265,663,614,064,433,768,700,726,616,802,
275,564,564,856,873,078,162,820,770,628,570,273,533,756,237,673,016,287,432,
493,390,806,694,358,369,406,569,026,585,760,988,924,871,952,236,666,807,099,
465,478,793,978,703,181,316,342,215,453,199,868,933,515,425,809,278,792,381,
063,475,500,275,125,594,665,708,596,252,455,666,546,407,434,239,391,118,161,
726,646,984,167,685,290,670,956,448,640,926,247,480,231,530,644,530,198,508,
262,335,933,755,576,435,215,198,783,965,786,325,631,738,711,875,848,738,573,
220,239,889,125,954,957,580,763,086,257,929,316,666,635,645,464,600,436,563,
948,769,742,781,332,761,012,810,673,633,197,487,027,343,811,731,962,724,629,
225,392,428,628,382,889,765,610,965,021,600,152,377,644,302,036,430,667,429,
789,070,769,164,840,883,868,888,205,671,872,106,153,052,030,516,264,024,046,
085,576,894,517,962,568,138,715,576,579,365,070,445,871,667,497,861,984,677,
262,383,358,858,337,475,742,519,922,119,085,634,944,733,885,125,696,749,038,
285,317,915,379,161,938,172,502,160,384,464,312,268,093,574,393,643,537,874,
545,113,018,267,163,120,693,300,674,569,262,827,776,167,534,401,230,475,360,
303,141,297,716,415,699,754,766,796,942,937,657,483,627,475,614,922,009,515,
818,675,938,039,641,361,283,002,153,753,644,316,157,181,823,568,389,137,318,
867,102,402,013,029,350,649,397,940,334,451,603,501,214,995,612,941,428,576,
182,933,924,077,860,147,966,113,083,102,716,842,201,315,366,023,317,903,262,
258,986,560,265,932,233,979,814,079,140,678,439,673,684,009,369,863,716,154,
699,157,533,678,146,743,312,782,656,115,746,012,474,820,386,381,203,235,558,
457,130,808,823,090,654,515,405,067,515,237,411,060,059,824,797,337,549,521,
827,692,262,699,164,705,431,714,860,937,625,919,434,359,452,898,788,928,181,
635,444,808,050,645,372,142,767,907,149,333,486,084,767,921,562,692,554,009,
111,117,806,257,534,261,775,914,748,545,220,654,808,896,544,498,762,190,957,
838,126,934,366,057,143,069,897,475,807,819,600,593,299,000,372,380,197,772,
000,453,517,003,679,526,558,362,885,775,263,127,324,774,829,083,234,596,065,
862,241,888,821,597,075,518,836,489,687,160,454,499,810,500,984,761,163,686,
641,567,890,830,504,639,864,525,380,480,294,633,525,966,777,341,479,507,556,
218,436,132,484,900,717,801,003,069,514,848,691,575,058,146,449,383,321,617,
385,988,594,025,917,502,065,460,829,335,603,877,529,594,771,940,711,341,128,
131,306,756,043,756,551,005,674,840,930,947,028,662,868,017,277,231,617,561,
074,828,649,389,120,334,810,241,526,576,213,598,045,498,850,191,168,373,952,
892,399,882,923,617,452,994,769,592,089,796,084,751,236,894,317,644,580,308,
969,268,063,636,768,900,643,152,164,843,062,973,901,895,118,657,987,784,304,
715,623,798,978,379,954,679,971,330,625,350,745,319,815,134,575,074,333,386,
577,344,747,561,795,426,641,103,191,849,868,497,472,362,483,392,872,281,819,
461,094,308,377,981,843,680,397,231,354,256,186,753,631,200,902,897,706,056,
705,930,951,800,429,911,353,274,006,451,610,139,235,668,335,805,273,671,438,
433,685,303,691,875,874,555,120,651,183,487,486,635,516,120,049,598,642,789,
145,406,520,719,878,938,687,671,743,911,528,261,269,290,106,183,062,522,980,
829,000,124,325,091,174,254,481,829,107,976,070,148,527,297,627,581,741,778,
803,341,090,348,651,091,889,828,532,081,676,880,863,297,223,231,229,424,327,
183,482,219,856,062,685,159,512,693,646,639,851,697,830,674,595,148,623,164,
062,012,425,038,029,127,818,445,343,369,694,543,970,065,278,709,305,456,376,
150,481,531,936,937,303,938,637,487,076,883,886,456,034,634,026,367,203,616,
089,661,352,422,652,883,023,173,882,700,895,132,910,631,928,091,981,270,703,
326,377,423,402,001,734,009,542,776,816,713,158,402,550,158,330,299,788,637,
395,277,818,690,780,154,395,734,230,795,474,298,620,827,093,192,260,933,838,
911,443,459,174,346,231,304,842,240,951,940,444,195,546,972,058,485,920,842,
717,529,722,686,136,483,144,481,097,687,226,269,846,288,003,868,162,127,090,
598,905,039,397,888,075,478,504,989,510,534,491,684,873,845,371,964,540,337,
431,622,323,945,967,027,945,852,656,616,203,590,031,278,340,705,753,893,001,
446,341,847,618,713,021,212,713,044,688,442,629,686,379,886,995,911,483,247,
295,420,694,333,573,956,791,065,973,204,890,048,217,248,985,800,935,691,931,
029,997,482,803,943,793,137,074,451,078,237,000,769,241,907,332,836,965,047,
708,033,169,639,572,633,167,225,935,127,503,441,975,136,229,304,954,921,350,
729,997,562,902,641,339,003,569,713,024,961,504,057,964,473,971,452,195,103,
420,667,104,545,970,151,716,229,354,049,101,364,933,970,255,643,725,899,465,
526,879,844,304,737,693,949,122,467,027,014,753,092,324,970,834,165,001,606,
851,816,332,184,578,263,755,786,140,917,933,581,287,719,423,077,525,386,272,
433,658,929,718,774,626,236,246,604,277,794,154,271,521,873,971,243,672,462,
396,644,564,000,832,884,061,818,750,225,338,034,054,692,852,197,839,504,938,
849,205,391,841,196,475,268,570,736,927,377,378,861,459,754,055,088,280,001,
838,366,273,798,732,507,640,878,005,154,814,119,926,810,489,990,497,633,882,
114,472,700,131,437,257,139,026,899,186,011,619,734,659,473,572,677,766,507,
048,818,870,740,502,223,755,893,864,427,662,244,300,931,979,276,298,273,892,
244,250,658,746,887,907,219,903,404,973,106,074,984,535,783,716,372,615,969,
767,718,608,957,012,166,855,721,566,818,028,122,960,402,225,287,084,707,631,
426,257,267,823,323,230,120,084,297,810,421,142,841,769,738,470,205,225,351,
191,380,774,263,685,207,825,172,111,137,453,646,765,585,848,276,440,763,301,
581,433,287,286,545,547,145,694,124,229,055,851,833,153,867,902,276,358,770,
107,427,608,234,939,002,542,510,975,403,760,158,232,150,523,115,422,729,965,
438,205,908,019,578,805,647,296,264,203,747,372,238,946,857,608,360,562,972,
090,909,688,658,596,734,726,706,530,920,889,970,387,139,276,899,879,099,278,
512,174,225,872,890,347,853,561,325,032,407,981,793,199,663,182,180,028,673,
406,349,903,742,157,263,273,434,137,270,083,528,134,472,623,850,154,705,612,
878,097,177,568,083,934,074,042,774,526,968,559,380,840,905,648,613,616,845,
840,731,890,817,333,773,023,991,138,069,162,647,175,883,354,140,832,367,947,
890,467,629,186,200,138,283,574,607,829,814,147,596,654,386,468,658,017,050,
480,188,635,125,016,450,928,522,180,535,366,696,277,387,694,113,536,579,569,
919,427,109,869,602,112,973,102,190,657,698,276,248,188,515,714,551,748,922,
698,864,670,908,959,694,065,906,306,001,687,463,538,958,094,320,728,346,848,
024,979,572,898,082,207,807,956,309,222,866,931,959,741,701,555,248,836,370,
456,981,176,633,460,363,935,957,175,792,118,384,038,094,078,077,239,951,561,
410,322,066,923,504,410,838,313,519,573,274,152,989,612,552,908,568,729,869,
664,683,771,630,937,246,804,571,710,982,662,952,777,651,962,606,183,982,906,
884,666,312,711,374,857,420,631,197,748,040,759,875,808,358,634,011,802,189,
974,641,825,457,704,857,695,843,559,079,165,487,089,743,318,160,537,988,443,
856,359,027,605,469,159,084,585,213,149,565,233,198,254,228,474,622,391,459,
830,556,595,505,406,894,702,154,748,356,230,491,023,075,714,843,425,854,501,
489,732,262,990,827,815,311,743,570,001,411,936,598,321,745,871,715,753,730,
601,702,603,794,651,934,124,059,254,368,872,399,473,784,762,594,507,781,091,
506,214,923,943,615,000,330,209,727,653,889,385,340,490,964,252,594,393,690,
208,599,233,983,134,764,350,944,332,156,326,784,027,444,601,252,921,092,136,
876,725,076,148,965,519,393,228,093,625,760,310,898,942,793,013,785,146,755,
717,462,106,380,619,584,591,544,035,880,878,014,401,046,970,295,588,411,941,
165,198,449,882,095,024,159,748,563,283,947,097,599,120,645,514,330,534,789,
874,503,837,932,916,690,450,593,373,040,082,928,488,458,663,237,040,162,609,
742,764,387,909,435,866,616,421,425,482,996,723,244,197,976,887,926,801,071,
582,181,135,533,825,398,703,738,310,570,707,819,136,825,345,551,366,218,903,
952,345,651,801,225,627,988,357,391,320,208,016,278,770,547,064,479,427,034,
651,332,126,810,626,942,732,431,278,522,918,619,739,099,961,603,921,534,935,
802,882,819,223,299,823,601,605,055,551,871,719,682,027,191,596,526,194,060,
527,977,181,730,019,402,591,262,594,683,354,911,242,977,219,368,980,531,194,
962,211,855,753,219,361,497,323,352,563,559,034,894,821,838,596,912,973,172,
929,927,007,565,830,164,535,702,684,090,030,238,871,358,629,197,406,375,005,
772,308,133,797,664,772,653,823,400,899,580,036,251,578,015,765,822,556,986,
314,661,595,243,355,216,713,579,649,663,086,413,296,906,453,809,144,902,707,
339,989,582,107,003,845,529,301,221,490,961,366,356,814,299,553,947,345,483,
203,796,410,554,653,191,664,095,886,208,617,927,376,530,150,972,008,136,845,
828,374,681,755,370,124,649,551,068,155,176,952,737,894,774,210,236,412,464,
537,820,296,482,070,399,786,673,724,899,948,578,202,387,687,304,749,853,017,
120,044,285,579,111,258,575,048,607,691,281,517,937,200,372,624,789,082,246,
569,745,006,413,169,493,798,561,664,670,615,674,727,703,554,633,684,431,151,
224,101,481,327,638,634,728,402,804,561,612,000,545,365,119,996,779,490,152,
019,690,849,377,804,972,564,859,012,741,935,571,254,143,899,150,433,029,198,
248,699,985,738,363,198,728,265,551,413,785,011,944,497,534,042,536,376,636,
132,721,318,072,613,839,704,845,249,185,648,972,201,175,423,068,909,336,502,
123,255,287,134,799,043,900,152,489,411,467,827,391,922,180,303,779,684,816,
388,421,229,641,380,707,387,071,492,081,281,660,458,986,164,452,526,341,971,
065,598,771,603,207,209,473,109,416,338,086,123,797,358,915,788,263,454,504,
879,167,606,715,528,498,391,298,235,093,585,319,106,507,029,221,071,068,415,
610,283,098,783,839,145,418,688,390,815,744,564,212,987,660,781,210,826,461,
453,191,209,518,463,724,540,990,312,963,491,379,419,337,777,622,826,622,613,
816,940,591,954,061,395,298,332,975,043,479,002,979,036,580,508,897,864,991,
403,174,984,544,795,710,006,001,485,371,921,354,621,573,750,872,954,409,585,
360,297,002,256,988,515,710,232,860,946,444,108,201,146,872,569,184,443,770,
883,775,781,656,161,397,211,546,815,207,430,423,872,284,473,644,996,146,710,
455,924,091,507,676,577,608,547,173,001,523,422,209,156,224,066,857,012,863,
556,448,509,901,501,593,273,736,016,891,502,787,801,615,972,924,022,974,581,
717,936,347,962,009,259,209,733,937,401,290,315,106,141,542,420,335,329,506,
386,040,024,351,023,712,796,994,025,994,870,489,765,421,371,160,297,271,678,
346,424,471,431,576,066,319,822,180,693,306,959,952,079,727,159,267,500,773,
824,512,639,499,713,086,538,905,647,277,764,441,477,876,613,413,225,052,309,
407,402,701,108,535,969,566,712,937,572,479,314,821,740,776,274,820,935,138,
254,175,020,990,051,909,860,228,114,878,553,442,641,691,364,570,068,705,470,
102,353,405,198,817,360,791,390,597,031,988,766,035,571,197,011,048,570,519,
728,072,673,873,128,099,701,786,302,758,465,636,075,542,149,316,164,601,524,
854,707,504,792,929,527,053,746,287,794,670,476,186,714,956,269,464,094,319,
737,328,310,968,208,385,194,384,951,594,823,924,622,164,367,020,637,990,310,
407,859,441,263,131,884,145,062,284,953,417,713,906,026,858,354,671,896,326,
849,320,059,120,581,791,063,543,872,005,228,689,291,503,056,698,966,411,549,
293,613,046,492,883,130,409,253,350,148,412,642,083,123,051,240,029,876,728,
941,253,353,306,282,022,382,509,137,508,729,348,533,129,486,913,377,962,976,
423,227,619,290,595,747,298,454,604,423,111,157,720,734,941,656,739,996,766,
986,249,917,004,277,942,951,227,255,808,823,088,792,491,477,821,776,204,230,
710,412,970,003,290,591,471,227,961,795,172,727,547,278,061,074,964,787,158,
341,340,387,882,854,684,889,518,905,271,891,728,807,349,160,492,379,034,785,
450,108,571,170,106,170,982,762,253,424,781,771,531,851,617,631,917,293,810,
438,748,348,044,730,289,036,884,559,732,863,950,841,775,851,830,462,037,519,
094,439,733,825,291,106,977,568,976,827,189,188,738,724,313,450,217,923,278,
845,462,716,956,844,525,953,046,853,276,609,202,063,703,964,847,066,828,824,
916,796,679,703,827,941,808,381,983,519,860,727,659,839,803,805,286,227,376,
158,241,199,685,720,314,490,982,061,688,790,832,722,418,816,492,049,177,014,
444,301,585,852,650,496,732,925,983,955,921,633,967,166,339,718,010,529,982,
220,045,298,238,410,894,295,774,559,719,046,507,892,437,295,660,928,817,312,
097,608,090,761,430,556,266,894,787,602,701,444,050,055,703,307,632,611,729,
830,278,376,606,902,640,114,126,597,938,216,514,605,626,231,009,296,436,580,
395,560,539,196,920,819,157,026,277,286,447,947,865,691,548,238,460,533,572,
407,018,794,488,738,012,193,257,044,619,820,656,993,667,225,922,711,359,672,
845,297,860,325,966,423,389,354,571,442,000,859,368,346,663,453,933,905,377,
082,928,425,279,732,741,680,547,765,462,872,725,399,494,004,660,507,904,977,
510,620,598,598,409,768,620,405,558,339,430,703,457,445,725,853,895,480,389,
849,382,649,565,713,123,583,985,048,814,696,640,737,631,275,233,717,257,485,
041,151,164,110,545,614,919,037,382,344,590,064,235,869,909,793,071,536,770,
336,181,171,563,648,145,558,186,353,306,657,708,030,252,757,510,388,834,020,
944,278,164,189,208,562,364,060,311,488,255,857,743,139,381,896,630,547,985,
032,815,686,895,113,925,152,642,416,712,580,708,006,762,050,091,532,859,341,
173,871,856,739,602,721,279,421,937,052,075,502,869,096,309,925,965,671,507,
688,735,019,078,221,457,300,152,380,282,927,582,259,059,590,662,220,339,988,
170,575,826,914,701,174,340,600,713,200,701,053,317,286,241,649,006,594,700,
962,561,699,350,921,075,307,344,543,586,222,913,332,291,851,145,278,479,080,
852,474,286,541,181,915,389,283,491,571,446,921,296,822,087,815,531,044,856,
781,639,666,468,505,525,532,122,588,359,735,998,488,214,361,419,744,270,831,
679,954,818,410,322,465,511,556,795,743,742,711,261,195,502,597,242,003,457,
301,398,550,408,198,358,725,438,105,508,915,116,638,245,250,254,717,847,904,
551,003,126,614,022,385,974,608,716,084,545,771,094,605,713,430,636,757,373,
894,748,848,625,586,549,196,933,716,012,466,960,281,288,605,193,901,808,768,
197,810,780,952,707,777,463,563,232,322,528,288,634,691,334,432,602,953,201,
443,448,262,009,879,099,328,863,561,208,505,769,022,513,381,085,231,003,618,
837,626,726,121,983,857,277,081,610,032,900,055,102,624,314,123,807,406,494,
048,237,964,878,018,098,467,353,720,221,838,145,425,354,181,852,875,137,614,
513,685,965,617,661,882,383,636,929,335,406,088,515,798,003,432,923,173,213,
295,988,714,695,092,817,180,074,081,294,208,351,338,783,024,781,598,512,187,
691,334,675,199,999,825,570,078,258,720,872,211,917,027,584,190,576,474,930,
840,407,385,503,109,424,727,784,601,919,658,919,250,866,117,098,753,494,207,
382,729,515,169,606,137,784,553,857,818,809,419,118,910,990,227,496,448,328,
434,521,753,736,926,719,335,329,124,068,153,854,461,712,078,034,552,996,984,
902,459,560,258,005,140,042,301,548,639,291,247,765,088,401,926,260,408,758,
993,758,675,763,880,353,287,642,750,178,167,321,253,256,383,521,113,978,543,
647,212,218,909,643,212,299,026,325,615,971,284,134,605,004,434,184,824,806,
261,291,601,245,242,596,970,716,947,532,167,444,810,879,086,478,771,480,133,
419,726,474,487,764,528,834,545,466,460,857,302,985,059,110,598,928,657,214,
561,039,922,547,902,936,394,623,973,143,339,326,936,552,483,198,351,291,017,
070,617,046,405,722,047,463,039,147,563,479,345,685,606,628,747,258,939,406,
439,129,189,002,604,948,993,868,149,331,908,219,924,721,084,339,654,563,822,
117,607,544,873,596,465,485,280,964,053,116,833,216,843,386,249,592,510,465,
260,652,528,160,877,105,664,565,183,913,723,250,855,784,716,523,014,101,517,
307,855,414,119,178,183,901,743,479,781,316,368,942,312,461,740,825,388,664,
315,126,198,387,344,297,403,201,918,681,464,676,974,854,031,689,146,424,454,
712,737,713,703,040,348,511,158,409,080,903,400,530,097,527,773,235,722,866,
338,206,260,418,860,935,561,055,501,335,348,577,817,089,209,586,278,167,168,
737,440,965,729,067,509,772,916,973,734,819,654,645,459,040,282,600,892,628,
343,360,021,747,455,019,286,468,000,957,986,642,048,335,201,078,546,418,973,
090,521,810,110,009,015,575,178,161,012,614,909,785,495,266,040,374,327,697,
386,408,766,741,557,927,085,655,504,812,456,521,771,869,539,926,122,493,470,
467,400,837,141,527,574,650,135,820,341,364,814,506,301,351,704,822,856,954,
519,937,665,239,480,942,172,489,341,820,425,573,088,859,308,401,408,199,850,
652,044,985,433,745,850,421,502,532,253,956,795,926,936,648,540,633,876,309,
719,211,225,881,132,137,773,263,823,912,734,708,305,028,010,213,781,779,988,
461,276,364,182,390,849,692,100,250,728,852,256,697,194,560,060,405,360,175,
429,729,625,045,639,302,867,229,376,034,394,467,648,679,023,070,977,904,531,
095,319,044,949,811,220,651,777,278,735,380,500,753,289,974,723,120,494,571,
012,930,117,795,958,622,634,435,843,704,030,123,604,066,856,176,439,344,568,
825,113,969,712,394,929,728,322,281,318,924,461,118,525,734,534,009,970,835,
388,451,011,477,050,292,725,894,285,646,700,248,250,073,391,679,723,317,920,
391,344,530,683,353,269,353,505,086,439,723,686,380,753,290,939,050,295,659,
153,207,757,991,597,617,074,816,492,867,133,648,365,545,597,641,690,767,555,
065,526,182,200,383,630,642,466,202,836,409,050,949,623,563,705,031,058,746,
433,401,697,639,721,570,231,619,423,699,743,828,495,195,706,338,160,677,197,
244,275,907,111,191,595,292,049,825,774,765,376,173,445,659,410,133,992,278,
998,612,191,270,905,340,418,569,557,463,849,915,262,700,762,424,734,967,654,
793,147,081,861,869,273,953,149,075,595,404,420,903,952,007,204,553,336,017,
718,406,141,179,454,570,492,504,308,049,315,987,607,679,739,248,492,364,937,
858,554,399,709,191,193,760,826,266,717,218,193,655,695,670,026,214,703,592,
042,550,725,751,289,060,368,102,279,439,483,714,606,305,684,984,069,343,942,
958,720,642,918,977,487,208,097,056,311,722,963,231,914,295,918,421,775,291,
670,502,152,364,116,032,683,147,994,009,151,195,373,012,677,131,482,916,059,
634,321,971,062,775,311,590,211,132,024,922,542,248,769,110,378,288,781,051,
908,429,202,402,773,503,192,357,647,368,161,326,429,604,067,109,798,726,381,
007,717,405,547,024,824,986,293,917,906,710,499,525,138,330,383,853,880,550,
365,897,312,451,456,937,569,196,669,472,907,459,944,230,918,865,147,951,535,
669,357,891,613,935,573,397,946,007,954,754,714,608,208,387,499,480,429,184,
519,660,315,719,919,414,441,395,967,370,378,205,624,044,652,885,258,358,500,
593,339,109,944,004,332,640,932,025,218,355,100,912,924,772,736,937,959,728,
751,296,334,985,503,422,134,090,360,151,547,418,012,626,003,790,638,956,317,
981,983,346,465,875,521,554,573,188,060,029,566,459,054,238,007,093,872,857,
386,916,287,243,640,146,122,418,175,742,540,358,022,740,865,722,846,794,473,
521,666,070,589,370,584,286,438,114,409,036,751,599,687,926,032,462,567,414,
786,700,478,442,375,659,991,345,977,757,082,627,226,118,453,357,753,491,669,
542,362,813,177,847,831,770,855,574,262,926,127,000,828,409,660,797,069,184,
294,721,677,608,910,902,577,206,702,252,184,753,028,544,766,694,528,336,685,
283,963,378,190,330,701,053,522,973,964,590,717,713,687,729,861,769,011,619,
315,282,739,350,048,508,174,898,190,480,096,787,198,646,875,423,919,012,345,
699,320,790,420,260,206,889,278,002,215,723,081,040,629,010,241,905,521,571,
464,514,490,837,493,360,924,760,387,653,436,863,532,487,204,512,698,220,776,
494,341,531,035,667,075,111,983,825,350,916,441,208,844,104,036,138,435,521,
486,797,011,626,695,722,506,198,394,929,413,021,746,507,305,345,270,365,449,
625,097,171,553,333,222,991,282,403,265,402,862,388,443,831,355,351,375,790,
383,164,024,870,245,282,729,106,754,411,351,763,904,762,450,531,795,423,956,
647,905,351,150,037,007,827,756,243,825,519,325,199,415,374,200,709,967,046,
486,789,512,884,887,594,377,083,222,796,762,916,599,729,609,547,527,583,812,
159,693,923,019,566,237,139,673,457,121,503,323,635,590,902,019,567,205,185,
946,604,014,291,304,748,051,220,619,388,072,780,597,850,541,074,224,224,163,
223,832,176,619,858,885,704,238,745,552,039,291,889,437,046,314,828,604,907,
156,742,723,329,198,590,543,603,684,588,741,576,378,222,772,885,141,655,018,
845,143,448,276,234,871,780,034,029,112,063,874,308,790,305,683,788,563,494,
510,356,625,992,643,264,097,458,507,838,061,817,599,951,618,608,978,736,166,
185,203,286,357,021,506,332,006,521,970,144,214,372,175,201,690,880,542,249,
857,965,690,647,492,064,041,972,082,229,276,516,052,383,741,906,190,314,106,
953,043,398,642,458,663,928,998,074,735,805,000,736,059,396,477,152,445,742,
475,077,054,749,593,377,364,587,473,493,354,545,704,572,684,640,305,358,788,
306,034,000,707,981,726,697,298,917,760,435,406,846,882,378,370,941,157,758,
623,378,970,458,911,615,398,111,341,581,098,262,065,806,989,184,458,158,773,
876,696,886,725,283,209,866,589,412,889,805,907,701,699,863,694,891,484,223,
895,386,962,444,697,741,888,799,151,344,265,184,815,448,721,375,835,461,145,
913,529,803,558,767,551,399,828,105,115,345,081,559,649,041,846,608,952,239,
858,713,783,593,677,066,949,401,733,634,018,453,939,101,708,708,878,536,506,
091,495,436,297,261,590,435,050,496,174,807,633,440,268,822,492,435,531,153,
239,289,091,046,432,981,143,944,205,455,646,909,689,389,581,875,559,578,983,
681,294,947,501,021,772,959,301,088,754,194,148,574,235,503,605,888,113,531,
804,843,882,813,460,313,945,384,579,768,022,702,938,679,830,012,555,910,153,
962,659,908,732,362,383,314,873,552,818,103,221,687,296,028,175,415,234,822,
983,957,327,635,537,154,632,877,618,133,750,346,046,311,808,795,514,253,431,
864,839,116,110,750,342,802,722,218,155,691,870,923,193,833,665,557,097,402,
434,256,201,036,111,454,181,579,712,127,936,348,593,367,219,766,492,669,552,
851,619,992,914,600,357,126,681,262,015,552,823,168,935,610,606,350,203,614,
962,966,309,753,374,989,264,813,399,759,106,953,444,189,979,997,845,907,173,
507,552,223,970,779,878,496,491,236,836,124,568,561,223,554,937,567,237,822,
844,113,979,859,227,404,389,162,178,821,537,271,201,078,229,016,428,512,478,
551,877,759,079,053,845,090,332,997,744,436,319,000,342,196,458,378,447,959,
201,701,477,729,956,953,490,011,571,266,623,992,377,074,610,619,542,994,814,
406,379,515,428,230,766,621,958,250,742,060,126,055,304,860,972,736,235,461,
650,342,175,880,595,803,746,600,454,252,153,003,161,895,707,627,253,096,044,
762,866,414,686,820,727,907,598,467,792,606,403,496,947,330,943,970,546,072,
011,644,289,426,016,628,153,607,361,337,184,121,678,738,230,023,869,693,695,
680,858,844,374,719,074,370,006,803,690,871,418,249,707,628,153,190,579,627,
694,074,194,396,193,875,041,296,694,700,007,311,416,224,151,844,036,723,056,
841,849,165,653,854,946,780,145,885,219,583,945,248,171,089,605,376,121,009,
650,264,298,241,625,648,477,626,882,406,416,708,811,602,068,726,066,449,714,
613,951,261,686,304,124,777,680,495,351,992,935,172,114,925,313,149,817,595,
736,215,310,740,701,432,098,929,079,999,186,413,420,715,702,228,315,314,982,
560,226,184,548,600,934,420,452,645,166,413,687,330,165,324,393,124,840,483,
320,640,921,317,581,928,209,937,696,134,230,732,188,873,726,242,109,381,275,
180,899,381,049,701,058,413,523,695,908,928,445,672,787,105,493,890,051,360,
734,804,914,444,052,221,155,342,709,850,330,137,544,979,261,437,769,216,110,
310,799,994,155,982,361,459,735,968,268,989,525,957,182,763,271,781,992,542,
535,669,511,638,486,361,991,455,532,277,390,638,957,286,843,300,668,377,215,
926,149,771,220,740,256,057,461,106,813,214,883,908,249,775,290,188,286,980,
710,810,214,084,428,390,549,309,098,332,929,492,984,064,797,786,094,399,093,
554,198,264,872,121,961,534,584,040,655,521,492,333,184,899,242,804,264,947,
559,789,996,317,332,314,118,062,365,427,613,298,940,519,703,984,714,187,520,
565,654,921,616,205,999,471,368,171,079,555,161,316,659,230,574,165,816,746,
268,631,449,481,947,491,026,244,340,386,021,446,357,896,621,724,073,673,645,
961,958,929,711,802,894,424,451,411,515,269,830,248,246,307,025,363,665,912,
346,842,585,348,636,640,191,536,060,069,802,998,613,426,917,724,077,491,925,
382,241,614,175,277,274,617,571,374,555,938,924,816,127,925,574,973,215,312,
675,168,146,052,825,903,878,717,255,196,617,481,058,487,007,254,086,484,097,
210,358,209,148,753,544,763,636,657,309,855,347,205,534,959,854,566,413,221,
300,210,886,879,083,940,882,038,094,468,855,941,681,821,312,032,704,933,697,
573,253,652,293,483,267,239,576,308,920,821,587,019,708,680,364,638,957,274,
199,133,636,946,780,257,297,311,376,729,239,935,787,427,693,375,668,432,228,
946,397,165,118,583,044,506,966,610,512,205,586,574,279,487,723,964,590,871,
645,925,329,892,767,441,358,525,116,123,236,810,917,762,903,555,382,895,561,
813,245,917,499,975,575,998,974,723,254,519,147,390,419,735,068,123,074,804,
352,093,032,854,724,926,016,487,439,602,293,363,097,914,813,525,323,127,776,
201,762,976,552,300,380,865,299,185,946,138,118,361,330,594,411,417,372,547,
083,787,512,722,396,662,843,446,159,652,880,031,408,859,226,305,693,281,298,
001,839,583,231,723,742,133,511,527,611,142,025,488,597,662,296,329,324,181,
067,132,569,963,222,337,042,990,894,260,471,343,330,593,812,795,652,546,192,
888,271,715,229,707,750,056,380,023,016,078,255,941,246,634,665,350,059,130,
316,284,203,779,221,482,755,236,301,488,277,208,065,955,247,773,656,705,021,
706,660,194,056,100,836,786,303,936,106,073,855,451,365,593,703,771,171,300,
944,100,632,136,349,117,385,051,694,006,933,604,064,411,280,920,961,646,633,
897,162,636,345,832,711,139,614,113,616,731,012,370,348,011,091,595,476,294,
164,702,649,204,719,151,497,855,431,942,714,101,179,261,491,514,495,613,618,
704,983,343,460,989,386,702,090,740,419,827,533,233,203,894,448,404,920,597,
311,391,489,081,180,403,087,948,864,776,736,280,811,328,506,735,825,795,968,
226,682,054,294,305,389,644,207,121,578,332,923,199,603,642,310,512,987,432,
750,877,352,944,868,714,171,133,272,237,544,367,076,489,463,423,127,882,411,
377,719,694,109,906,435,794,574,727,929,861,980,524,748,778,180,522,797,779,
369,310,344,402,430,483,772,113,183,140,449,864,860,403,090,217,063,496,303,
388,846,131,896,522,520,183,807,170,095,946,611,857,568,291,698,607,725,522,
400,687,749,831,715,695,808,944,326,491,821,390,221,913,850,897,747,714,833,
218,852,806,022,178,800,880,608,356,651,017,551,944,768,617,354,353,908,758,
362,521,368,728,403,585,576,687,763,845,465,188,320,061,838,571,983,034,555,
539,101,446,713,301,177,105,086,347,245,653,291,881,686,576,218,974,479,692,
817,418,328,633,564,756,152,284,091,265,580,964,437,626,358,031,401,280,166,
399,386,631,386,784,430,362,921,141,704,061,091,406,924,215,778,656,463,958,
351,718,503,179,794,932,155,371,280,493,036,608,313,511,867,101,461,714,702,
755,347,176,550,128,734,155,954,229,842,597,455,764,784,771,673,197,263,229,
492,085,321,634,292,844,249,667,674,505,197,706,610,933,469,367,813,288,210,
960,101,540,029,470,123,521,399,311,212,059,152,604,793,973,726,571,047,901,
678,107,752,826,388,565,485,777,899,142,166,134,563,464,292,757,869,928,295,
112,185,841,784,916,230,240,469,652,592,965,020,719,452,479,205,002,475,159,
672,036,067,527,696,577,158,417,241,078,633,397,324,340,944,088,313,709,241,
532,810,032,971,280,892,811,650,578,227,836,998,288,088,804,667,065,229,157,
352,965,162,931,277,700,924,988,562,692,013,880,305,105,859,967,205,680,323,
197,270,197,247,162,952,211,131,587,284,020,639,671,365,007,512,099,326,058,
940,829,915,672,799,538,315,129,299,670,265,923,286,897,272,543,777,174,273,
393,148,506,319,337,861,971,731,248,674,235,550,959,141,988,823,228,118,310,
969,236,250,920,332,886,641,376,166,823,564,485,723,585,244,758,266,325,671,
963,843,995,672,589,726,888,187,957,283,824,507,740,152,796,853,088,532,190,
761,935,048,993,215,391,340,577,009,759,125,954,126,924,379,728,221,464,670,
957,554,853,609,576,150,019,546,459,013,778,910,139,742,143,357,989,507,095,
290,083,348,836,899,359,361,129,215,132,975,093,721,156,481,474,396,444,129,
591,428,469,646,191,765,823,999,747,560,667,488,281,664,112,164,485,900,703,
987,402,230,211,864,510,839,076,495,553,949,482,968,867,305,128,308,295,966,
133,841,292,877,678,718,201,056,752,662,867,447,498,628,038,521,340,455,415,
068,054,168,346,607,840,231,539,377,047,195,009,327,548,904,022,668,700,626,
174,430,524,386,503,971,305,674,464,559,720,467,506,932,225,194,064,418,690,
515,529,801,837,163,656,310,516,585,891,178,776,921,117,732,198,382,669,996,
961,236,307,387,628,237,611,033,947,882,217,820,928,909,929,551,785,465,492,
837,535,859,878,830,495,248,280,578,919,398,382,429,965,860,143,046,088,961,
565,732,689,040,678,547,032,135,644,286,817,744,354,944,745,138,774,163,095,
660,189,482,100,143,751,744,347,845,540,321,234,150,085,226,228,268,692,508,
984,974,539,769,850,299,524,650,398,662,667,611,110,474,645,711,369,222,209,
377,252,983,867,471,794,475,729,131,584,948,467,036,759,403,462,485,497,409,
664,593,904,559,256,079,830,247,286,296,353,060,218,070,376,862,597,739,729,
972,976,107,129,196,612,393,107,594,887,838,115,921,316,913,749,567,568,363,
272,279,876,117,655,499,627,301,927,153,834,575,847,910,734,340,872,912,962,
975,504,282,012,176,692,023,217,070,578,648,492,770,306,950,753,105,064,171,
420,794,352,946,160,869,426,368,678,937,604,614,167,404,579,133,086,751,150,
899,954,921,900,057,187,592,563,227,615,964,172,391,467,814,590,040,261,854,
326,743,612,295,490,921,478,819,650,851,422,918,170,207,583,346,229,579,091,
798,218,293,833,424,374,446,640,284,690,896,576,469,734,777,926,588,785,992,
144,906,890,072,531,791,539,375,716,752,417,026,853,871,675,919,468,180,512,
864,194,429,059,285,364,606,476,322,060,406,915,712,482,404,016,549,918,555,
881,225,200,063,589,487,977,714,675,789,445,799,789,498,591,366,252,977,037,
970,197,802,601,279,902,387,361,725,711,838,255,744,766,524,793,801,731,287,
775,835,826,000,397,011,958,681,323,247,992,517,494,279,847,296,634,561,185,
433,379,465,172,347,901,402,627,663,022,922,705,034,310,903,015,694,397,465,
526,015,136,400,934,888,352,889,774,417,030,812,369,477,193,015,642,485,325,
802,742,279,666,042,079,135,704,983,744,475,860,184,462,532,712,225,686,425,
451,491,251,824,626,503,305,978,914,716,750,551,845,085,205,947,414,709,785,
898,280,414,932,789,613,145,747,307,758,922,980,372,515,559,235,766,573,767,
504,330,256,825,594,714,094,955,276,364,441,400,579,209,406,117,686,651,709,
876,418,458,465,327,349,895,848,323,446,137,739,425,138,533,594,224,751,504,
488,319,847,556,046,685,132,269,868,780,214,667,692,901,243,709,732,187,270,
394,186,396,351,918,219,322,573,653,912,079,514,499,655,609,647,960,079,452,
320,993,511,007,120,258,984,494,476,783,365,344,713,495,354,963,406,240,874,
599,846,144,513,096,239,817,767,852,262,823,949,950,750,306,366,331,154,387,
348,796,078,802,418,085,302,636,623,776,200,930,834,395,000,992,522,572,495,
006,535,070,710,491,554,962,288,945,177,269,703,835,715,695,057,085,060,983,
842,598,447,750,865,061,346,268,265,918,995,711,245,319,959,744,905,707,794,
935,566,119,289,700,182,830,689,926,136,661,114,808,472,623,502,780,016,509,
918,549,814,849,698,010,204,148,212,153,728,659,525,257,249,357,595,866,796,
873,178,123,622,723,939,661,651,595,209,454,801,399,364,951,707,399,750,151,
404,980,138,848,044,175,168,314,128,887,570,848,251,190,109,262,504,945,748,
657,253,676,538,482,935,930,177,863,406,673,487,360,441,925,841,717,833,641,
603,980,030,567,913,490,921,243,128,353,958,916,810,283,277,457,024,643,410,
269,578,536,485,254,427,641,403,417,766,847,849,302,686,415,763,976,456,180,
445,488,877,611,655,618,556,788,877,526,255,364,608,876,169,658,477,972,971,
862,079,299,385,012,938,646,948,460,120,770,254,978,247,840,776,008,630,645,
093,031,761,141,583,211,621,903,165,186,834,402,003,550,125,323,939,168,454,
015,206,939,400,923,427,315,663,831,277,416,499,180,392,247,910,969,078,740,
087,282,748,408,869,642,081,380,751,242,676,640,174,127,009,692,634,244,880,
237,153,433,108,733,998,371,376,433,217,142,070,107,126,026,421,155,139,236,
530,973,544,313,436,124,823,541,421,830,636,917,238,372,878,459,465,748,212,
044,207,593,742,772,682,090,862,772,681,297,701,644,106,357,547,962,912,131,
926,693,708,031,526,875,838,165,424,925,377,452,813,590,519,810,612,881,246,
643,995,887,076,165,098,141,044,683,283,543,288,423,910,688,197,646,655,601,
190,419,018,058,555,251,011,738,694,817,119,212,858,320,523,995,461,865,240,
729,819,852,020,232,755,381,987,582,414,250,013,922,144,934,069,328,811,641,
614,917,783,408,941,736,199,178,744,206,834,198,542,478,712,094,125,932,463,
295,402,127,222,371,253,818,633,505,547,326,603,508,343,727,835,677,823,692,
868,019,084,735,214,183,080,553,409,133,623,151,124,656,370,276,286,585,807,
996,377,450,232,933,312,470,860,808,248,573,278,127,977,136,178,996,000,560,
192,006,299,291,342,926,380,090,631,230,061,154,410,084,073,323,862,562,964,
207,335,625,479,211,718,192,995,722,162,955,146,804,784,916,081,010,363,041,
013,728,334,533,864,535,470,384,822,553,118,182,353,952,891,368,989,901,530,
449,241,530,836,815,557,661,273,564,938,003,629,037,691,455,820,716,279,881,
577,202,751,740,197,569,790,045,579,120,011,070,912,993,761,725,072,671,147,
580,994,345,724,924,415,131,789,031,087,669,986,956,978,037,142,431,747,714,
566,523,440,977,471,447,870,341,462,667,243,804,116,827,741,147,604,462,372,
471,073,032,009,127,070,569,582,926,984,558,543,841,493,446,414,611,590,101,
056,525,508,532,508,953,748,891,361,429,321,890,672,092,500,564,399,240,634,
875,128,493,400,467,853,394,595,127,778,697,503,892,171,316,967,068,856,800,
870,549,186,394,372,701,328,901,694,829,224,561,017,062,275,063,520,773,073,
621,072,985,559,830,755,356,954,726,724,621,970,889,615,148,136,178,115,969,
998,393,601,439,325,621,496,735,912,053,010,652,444,638,293,888,515,859,237,
848,948,626,294,900,853,832,938,825,635,844,594,481,366,591,193,707,693,416,
114,815,291,577,975,119,958,379,175,295,567,789,849,358,180,992,092,718,610,
844,076,196,575,277,765,446,332,121,329,946,665,995,062,893,630,060,440,596,
876,067,862,761,484,571,099,759,872,331,715,783,971,850,547,393,395,168,545,
311,696,842,838,657,232,321,135,221,961,297,587,467,470,925,336,208,111,087,
285,045,553,503,030,268,463,140,990,082,969,112,431,321,244,570,747,572,889,
310,282,490,987,160,614,376,828,286,550,291,872,889,744,726,235,700,148,611,
817,823,449,442,023,734,976,332,944,350,976,810,207,971,898,799,996,213,698,
466,490,042,999,837,220,843,346,546,743,353,284,346,169,576,830,704,152,146,
841,023,069,798,662,435,203,455,660,037,027,239,867,699,747,271,496,199,481,
982,691,997,986,941,117,955,127,350,437,333,386,694,831,605,106,323,792,308,
482,968,530,721,727,546,240,922,335,704,739,882,448,526,756,089,882,317,378,
988,622,801,702,652,824,646,863,701,640,399,373,821,214,434,882,567,880,494,
867,579,746,873,432,961,703,098,650,500,163,095,492,412,199,343,576,901,942,
727,427,410,313,579,877,053,935,806,069,836,840,605,684,313,237,054,289,011,
738,593,860,403,059,572,796,117,038,860,235,527,703,210,597,177,944,245,158,
047,558,429,672,949,676,023,929,415,710,386,650,956,943,182,136,372,423,781,
531,693,692,597,966,890,864,183,860,804,470,726,730,680,141,005,949,304,033,
872,999,706,233,494,491,926,267,563,659,533,884,296,644,957,553,429,879,928,
042,826,773,951,660,379,456,547,848,153,271,871,891,300,726,208,441,432,524,
925,004,886,011,112,209,988,746,262,654,060,057,039,367,419,170,812,613,102,
538,034,545,574,204,091,987,285,621,171,458,651,340,132,562,847,579,616,012,
930,062,485,664,129,180,007,844,475,892,301,129,759,125,352,874,044,119,044,
998,358,078,431,789,881,673,804,724,913,845,294,085,128,778,965,495,138,863,
295,826,510,555,520,284,665,856,965,015,545,057,989,259,457,375,515,214,503,
591,835,166,137,959,389,097,652,443,876,985,550,675,714,516,215,080,557,287,
725,045,019,244,904,247,213,699,271,072,727,718,367,901,471,823,984,469,091,
800,436,754,440,254,790,380,204,064,200,774,239,027,466,255,449,914,474,205,
158,761,918,361,112,398,472,489,851,758,006,996,632,018,899,101,033,031,467,
982,675,013,956,570,587,622,650,119,632,789,949,734,275,916,068,066,122,502,
052,804,469,112,901,028,120,557,618,650,572,664,706,695,765,833,055,609,989,
908,687,313,797,486,114,561,304,513,316,236,855,555,113,794,830,044,244,016,
135,541,349,101,845,188,979,951,329,812,045,336,851,482,692,617,517,949,318,
979,428,031,303,869,184,943,456,914,071,817,645,093,594,055,343,850,899,805,
327,445,456,204,974,629,798,133,987,191,025,690,004,804,883,066,516,323,758,
884,943,053,649,047,811,835,826,050,102,392,692,907,106,509,738,004,966,414,
554,860,430,268,941,369,956,171,334,504,788,400,040,717,837,980,064,594,880,
169,692,123,744,833,815,413,310,463,811,490,549,197,505,219,789,246,512,135,
129,771,742,226,929,735,716,801,559,394,578,368,666,923,833,652,894,929,538,
898,963,947,490,567,656,805,636,315,119,553,485,208,080,919,915,247,492,811,
454,212,682,214,937,289,383,912,915,888,876,024,118,472,385,556,791,284,598,
625,673,491,239,343,741,267,445,491,371,096,929,318,531,941,113,029,761,456,
823,027,915,118,343,828,003,858,901,029,470,165,050,348,976,127,116,659,484,
098,908,735,926,905,680,717,408,401,213,381,035,740,104,362,906,300,478,969,
799,563,134,240,630,056,985,667,608,607,787,910,075,404,333,496,389,777,840,
368,923,096,359,767,559,133,193,251,790,424,329,192,472,149,296,014,515,265,
880,567,766,370,893,641,264,172,853,704,916,975,358,180,114,124,035,025,300,
968,073,978,791,971,132,414,051,224,872,758,832,483,833,507,237,817,768,763,
480,013,359,494,294,615,052,789,632,480,383,016,874,820,502,437,569,386,905,
917,451,178,568,685,799,585,113,175,959,450,222,860,973,055,994,794,099,992,
266,220,907,442,289,428,990,028,636,022,492,980,147,598,947,214,793,391,478,
738,203,538,442,803,026,494,247,639,522,780,736,113,456,971,338,689,184,259,
148,240,877,758,594,559,578,813,551,864,896,830,786,692,822,365,499,351,956,
101,744,894,885,166,386,241,680,916,701,475,353,001,314,503,788,667,408,977,
895,179,480,241,084,983,386,935,440,438,259,437,237,743,929,016,391,343,040,
682,581,622,183,484,542,242,270,295,815,225,052,839,590,542,844,677,320,784,
466,401,321,272,442,108,582,326,797,854,582,988,409,062,085,462,526,132,988,
464,903,333,166,680,919,712,813,703,146,580,761,723,100,560,118,688,060,733,
892,341,596,554,153,325,978,956,909,554,611,404,569,557,835,460,254,161,529,
309,773,642,784,580,134,257,352,345,941,520,862,651,096,475,548,737,808,437,
924,818,977,729,706,787,259,976,360,949,084,762,954,028,440,908,777,543,632,
150,776,071,897,807,139,044,066,682,438,426,735,774,263,689,270,905,031,750,
879,888,062,832,282,798,932,686,349,056,633,579,420,350,642,641,548,232,393,
571,890,721,630,345,708,358,867,521,482,820,810,935,598,318,961,609,689,723,
996,487,070,873,451,834,082,717,990,709,543,283,013,700,073,116,778,736,508,
986,234,564,354,981,290,497,062,218,368,659,929,641,047,963,017,426,756,231,
805,602,646,753,844,113,908,449,390,092,744,656,138,323,288,416,662,093,380,
907,509,517,103,879,651,430,683,367,854,609,726,695,942,725,177,635,318,674,
248,378,798,969,392,186,465,981,589,344,403,337,261,225,010,105,769,212,823,
671,833,676,397,753,785,457,313,919,919,489,798,550,505,915,885,582,312,510,
385,941,890,689,170,090,817,121,701,109,494,851,783,303,828,143,577,406,853,
778,491,964,761,267,263,964,887,473,580,476,973,582,272,786,218,400,736,041,
500,409,929,364,869,485,695,728,870,024,160,939,676,718,690,479,275,128,863,
323,207,123,777,821,186,103,760,187,397,694,562,886,815,654,155,090,437,168,
325,946,353,026,219,900,441,926,866,871,050,264,264,087,704,869,911,686,442,
752,377,715,339,093,153,840,458,058,881,161,178,087,756,111,591,973,871,053,
701,183,986,042,072,032,698,684,309,038,139,684,117,723,250,916,570,797,593,
889,264,837,918,513,598,130,472,808,472,101,606,944,266,967,131,335,765,297,
491,321,330,431,361,842,176,690,308,703,201,673,983,889,305,004,380,912,387,
826,005,731,159,109,224,657,288,917,851,461,158,743,591,433,208,010,545,253,
925,383,289,489,035,959,342,890,166,872,961,425,125,343,765,830,055,376,117,
644,973,896,462,372,911,128,453,848,952,977,198,689,033,171,974,220,564,064,
958,913,388,195,377,373,516,343,913,909,781,013,541,929,829,630,508,619,327,
184,044,856,083,844,022,367,677,423,985,625,089,072,062,727,367,255,843,294,
145,139,158,876,498,864,602,883,588,269,927,484,556,819,974,746,376,222,050,
315,310,016,166,284,240,301,936,996,671,036,127,378,937,728,498,453,262,788,
966,720,911,528,801,287,663,871,168,820,388,175,623,991,425,518,835,449,049,
096,860,800,796,932,743,511,413,370,430,023,445,197,891,336,085,636,265,662,
943,581,186,574,973,994,831,042,460,047,068,661,271,035,793,847,703,531,531,
606,450,499,397,589,993,327,686,570,877,418,094,872,633,217,341,805,800,058,
553,724,922,840,849,024,466,757,979,933,908,908,864,567,628,843,109,330,836,
959,489,525,286,558,422,525,528,926,546,068,115,163,545,505,395,494,992,133,
284,788,573,176,330,307,868,113,432,014,213,359,720,562,564,609,694,940,487,
891,537,560,509,403,648,363,799,391,554,858,135,471,138,668,024,767,951,908,
962,607,261,974,202,634,862,107,812,497,962,970,483,030,878,382,668,090,451,
991,692,557,219,110,435,729,334,781,556,038,002,427,372,443,952,052,324,611,
631,008,114,563,750,844,765,324,781,395,602,871,427,602,957,336,044,701,463,
832,745,871,810,305,725,465,183,659,091,826,222,138,785,202,193,467,828,016,
288,703,279,536,093,136,696,833,683,645,280,161,965,304,879,731,708,633,881,
662,055,650,352,861,126,252,474,140,189,874,857,976,844,799,553,631,844,998,
796,608,589,852,582,303,427,130,031,878,066,084,159,348,676,893,965,945,998,
939,583,320,244,613,576,205,088,146,761,891,422,830,105,468,520,491,291,813,
007,997,143,011,860,875,140,676,666,251,322,693,726,586,269,993,756,586,512,
201,200,315,113,588,276,418,621,764,068,307,814,557,672,664,258,675,058,752,
975,438,195,461,941,080,699,161,941,248,176,480,547,975,750,820,411,727,636,
585,682,747,410,533,604,928,510,386,051,463,871,166,818,271,839,240,758,398,
230,091,021,535,480,608,247,373,462,443,773,528,501,483,749,003,393,161,357,
285,944,748,419,556,697,961,010,316,218,811,690,731,657,698,784,621,769,780,
519,104,891,223,987,343,985,572,155,381,718,951,419,239,996,418,355,395,170,
949,175,942,815,996,418,424,959,808,281,519,613,039,949,945,639,295,724,996,
930,091,502,487,428,502,699,943,122,625,292,929,297,537,201,303,031,754,217,
398,380,829,929,274,773,358,371,398,342,972,339,785,503,249,592,257,434,054,
766,035,006,011,732,012,329,726,871,801,380,190,392,266,873,806,682,162,435,
457,009,491,996,210,637,086,793,446,105,212,307,890,397,491,688,033,912,580,
805,306,523,071,811,938,778,887,550,942,704,948,407,221,897,655,772,214,772,
360,673,200,064,966,794,273,309,893,554,530,270,747,146,592,675,998,775,091,
822,746,093,869,673,284,809,500,446,474,930,310,017,806,387,060,227,510,648,
004,957,229,573,656,676,714,564,694,340,158,132,651,022,703,428,089,527,656,
208,792,083,161,086,877,249,597,743,760,194,099,149,206,727,550,865,495,323,
352,846,349,012,275,170,712,328,824,114,650,753,970,327,604,239,607,135,540,
522,890,477,541,289,863,423,639,656,851,869,299,015,257,226,450,077,790,681,
990,054,911,226,690,883,574,544,518,797,969,981,226,995,251,266,588,685,632,
510,860,511,426,503,560,243,200,110,462,242,148,162,133,297,568,315,851,787,
320,950,698,702,916,930,313,589,524,878,975,637,989,245,411,480,507,647,307,
665,169,448,665,355,140,453,330,937,793,519,397,149,428,334,897,600,327,446,
276,941,592,139,077,810,062,030,124,771,802,042,448,229,604,899,135,296,552,
440,456,062,714,142,067,910,618,432,999,209,395,495,896,546,401,716,785,865,
376,806,960,274,770,590,829,099,897,289,365,376,400,772,991,640,420,859,410,
483,192,939,437,927,607,181,720,021,191,670,077,583,765,716,342,671,420,187,
004,135,548,325,115,805,701,866,592,352,196,189,480,728,746,362,957,235,854,
717,916,192,961,287,771,610,596,476,576,256,544,131,336,533,684,731,503,532,
876,300,076,924,837,756,338,691,218,621,878,018,187,941,507,632,960,479,652,
146,954,036,134,790,442,704,651,951,255,301,939,713,907,099,140,008,784,297,
283,922,329,176,906,219,737,434,193,834,063,029,491,622,898,355,272,841,465,
200,467,251,153,741,371,660,826,811,932,869,622,890,782,606,864,637,965,319,
471,082,363,237,884,465,218,255,135,145,020,521,014,691,331,817,373,759,077,
880,251,858,056,027,254,075,723,204,109,648,836,005,957,246,057,768,454,866,
629,890,391,174,156,566,418,293,018,694,477,218,191,254,454,642,111,312,749,
570,878,029,463,390,386,460,100,583,041,095,281,588,391,635,550,648,747,930,
270,607,278,976,759,377,338,690,968,435,820,328,481,424,384,052,151,781,019,
106,073,664,417,828,974,483,586,209,491,288,834,316,148,111,930,859,541,512,
325,029,057,664,262,783,823,132,168,077,737,339,387,674,236,994,294,354,768,
434,158,412,476,926,651,041,631,439,585,327,980,783,727,153,328,296,576,662,
092,032,175,632,586,394,502,459,556,802,851,878,793,436,457,983,097,195,626,
062,253,188,455,032,781,624,228,742,647,457,031,702,338,314,455,872,679,307,
935,776,627,531,497,533,770,867,860,542,700,595,822,292,569,593,272,222,756,
754,341,605,784,459,421,393,867,097,065,680,852,440,856,523,203,187,686,396,
405,416,942,161,139,521,135,370,916,474,041,741,706,852,959,632,260,057,900,
854,297,742,376,527,250,768,685,215,112,877,280,374,577,509,373,077,421,134,
221,186,980,082,222,211,123,748,081,409,658,047,006,682,801,498,062,692,012,
854,149,986,064,946,699,254,913,841,612,878,995,114,045,996,037,813,215,361,
792,959,063,571,869,168,679,996,103,027,353,624,787,929,672,075,314,960,926,
566,840,768,912,049,405,387,820,709,836,664,204,957,581,328,896,554,517,187,
307,172,625,121,129,800,059,024,799,989,427,379,368,018,241,852,312,130,236,
304,125,269,477,781,370,384,173,033,405,109,934,554,827,127,861,886,002,618,
686,633,166,085,995,060,862,080,742,764,593,054,730,863,538,203,234,185,481,
898,103,831,233,329,901,709,532,103,368,993,434,008,883,402,769,104,903,063,
222,547,351,251,647,224,291,643,593,790,320,673,629,367,655,586,814,494,381,
443,809,111,311,380,336,070,973,330,422,421,013,978,724,526,996,753,177,410,
144,493,180,089,512,257,311,137,807,917,709,158,926,674,738,037,487,820,356,
041,441,090,938,671,288,014,470,858,995,585,899,375,946,067,434,124,132,983,
631,505,351,294,022,702,420,792,826,405,372,560,437,061,320,824,359,892,982,
348,389,395,984,535,109,825,044,840,298,040,948,308,248,350,146,842,823,534,
453,642,457,920,190,904,047,220,805,296,319,182,251,020,943,715,027,603,424,
937,843,316,485,795,428,484,847,262,196,018,296,809,164,513,012,119,031,462,
554,704,479,510,838,305,213,025,739,246,925,142,530,837,331,647,636,165,517,
428,021,960,020,527,091,756,195,529,301,245,159,405,177,564,374,820,462,424,
562,237,175,402,372,103,973,227,122,438,054,102,625,847,259,400,466,406,875,
580,089,973,452,997,936,076,053,611,657,075,587,690,244,803,747,762,603,679,
497,024,368,814,408,053,480,888,251,342,611,980,439,813,104,912,296,368,087,
655,661,837,524,481,886,293,854,111,476,194,129,143,394,404,985,125,865,341,
356,401,278,817,564,173,507,952,790,957,814,130,749,196,723,131,721,292,088,
275,825,733,914,826,319,998,206,988,072,386,854,147,074,176,547,901,577,577,
953,811,346,393,574,885,656,354,395,811,188,112,867,276,624,305,448,912,755,
511,812,534,048,740,188,866,684,738,687,448,399,916,723,995,876,459,767,472,
476,864,663,005,491,436,430,795,468,819,781,237,112,549,856,640,321,560,291,
268,117,472,215,300,422,967,767,158,037,176,029,557,122,874,132,681,472,412,
045,324,018,522,235,901,941,070,112,536,414,228,738,551,538,626,587,907,112,
844,162,675,310,586,933,203,126,967,823,929,608,167,719,314,582,813,440,998,
976,099,374,578,165,290,794,377,884,376,494,165,408,791,269,761,659,797,360,
649,668,691,228,346,460,524,118,121,664,660,128,611,864,878,782,244,704,701,
584,080,846,379,857,793,756,561,642,155,330,508,449,329,020,764,387,789,699,
592,042,367,097,467,000,761,580,851,405,623,369,902,295,536,849,106,070,583,
364,696,650,436,557,918,042,656,527,502,878,996,506,226,069,368,509,356,257,
625,994,857,689,044,884,533,673,523,800,204,996,126,552,908,577,875,927,557,
468,301,247,085,488,811,263,949,828,719,612,076,903,856,293,319,936,874,341,
138,576,654,328,543,553,484,321,390,001,647,662,708,917,788,105,059,880,719,
162,460,326,575,899,147,908,719,627,902,783,348,711,224,043,778,056,008,602,
138,301,634,904,048,676,951,710,362,262,356,369,997,879,855,598,627,131,395,
870,368,247,291,885,910,038,552,846,749,051,730,169,226,384,155,217,960,412,
533,925,130,094,939,839,200,095,424,747,932,624,080,311,546,094,724,639,993,
620,903,089,730,216,566,316,218,452,127,516,264,088,260,440,776,808,768,452,
053,252,400,860,631,753,557,627,490,373,808,650,398,241,290,566,925,377,243,
451,437,261,965,621,146,468,568,403,308,111,763,923,879,546,512,639,741,848,
210,828,622,343,854,534,215,597,135,760,607,535,603,746,040,472,820,581,272,
843,319,237,427,105,458,757,429,129,856,376,725,165,830,845,473,931,799,080,
497,325,434,318,510,647,875,484,489,144,285,995,918,569,571,671,277,868,093,
856,843,463,324,563,341,964,868,172,572,260,937,502,468,659,277,193,652,846,
526,573,024,157,471,374,040,226,220,236,369,139,293,394,018,585,123,890,650,
065,551,319,026,174,225,919,918,268,084,543,484,649,571,816,855,177,840,134,
590,601,798,345,008,699,678,288,748,305,711,992,023,241,787,903,119,601,392,
930,565,989,828,414,126,129,068,432,947,923,418,346,730,695,185,786,454,451,
199,899,294,943,497,600,332,598,131,839,046,921,910,002,855,630,732,205,660,
962,707,790,711,815,513,206,045,800,132,640,204,607,634,956,475,624,232,270,
711,826,962,933,397,349,514,550,628,667,412,641,793,530,065,154,166,488,324,
442,391,322,853,465,137,563,585,123,710,357,798,750,963,899,916,610,818,220,
360,826,926,256,937,534,950,484,675,605,801,335,304,115,699,125,833,237,529,
821,725,269,379,576,288,029,842,788,811,592,477,261,490,328,094,417,045,543,
994,928,320,917,785,087,312,298,245,253,862,148,233,453,191,524,230,871,150,
160,347,189,421,419,428,868,729,109,707,645,322,759,410,786,666,962,132,882,
148,927,540,501,756,077,963,171,151,461,052,135,725,513,540,424,993,285,900,
588,523,063,052,781,240,191,518,536,494,282,544,338,732,497,490,883,786,056,
136,671,969,005,004,529,620,294,935,297,480,183,906,385,744,904,166,413,209,
573,231,350,365,026,514,418,535,169,577,739,865,011,242,001,264,785,007,829,
974,750,389,235,226,479,695,200,184,157,053,214,128,198,657,889,930,145,151,
970,915,096,164,245,804,613,715,357,273,113,119,035,367,450,551,150,990,379,
463,221,816,921,320,657,556,986,662,941,599,866,771,757,344,656,562,023,321,
048,379,857,088,521,869,569,296,568,101,324,630,121,156,511,613,486,872,116,
906,349,048,157,474,788,736,114,330,862,608,005,015,870,548,683,637,955,238,
641,094,727,473,746,762,089,386,816,901,236,537,517,917,958,914,308,092,865,
298,340,577,138,688,517,023,503,066,809,697,651,406,951,672,001,013,668,857,
750,863,436,315,486,307,396,581,323,338,874,715,938,132,355,978,634,412,570,
998,901,514,935,479,450,220,831,193,718,700,210,747,504,745,466,398,345,459,
396,403,389,367,948,183,090,797,090,884,999,626,400,642,035,849,481,775,632,
904,863,019,556,846,313,942,468,169,643,942,587,661,038,307,718,408,263,458,
603,975,192,720,745,456,903,790,771,153,786,822,654,269,844,811,114,002,675,
906,084,603,697,531,897,205,742,406,498,985,306,673,120,230,060,123,682,682,
129,087,254,563,012,302,054,368,217,895,542,438,780,337,607,697,135,396,723,
534,894,682,282,459,495,906,407,376,344,111,052,334,170,376,913,008,535,310,
186,258,727,431,399,146,237,301,517,081,493,265,026,841,895,747,374,278,124,
403,852,384,070,504,858,290,233,945,769,506,634,650,634,707,508,899,456,090,
257,755,391,563,634,525,567,850,362,314,597,104,007,206,444,265,087,071,349,
582,793,807,939,474,188,333,176,526,155,670,975,738,697,314,115,756,184,130,
762,160,020,183,573,204,964,638,963,551,916,540,718,976,816,842,899,831,695,
814,330,266,624,675,812,488,334,673,301,030,776,735,473,223,531,406,966,878,
521,672,054,186,679,283,618,204,808,886,833,017,077,205,052,517,004,219,246,
411,923,014,880,409,627,595,281,487,816,487,044,679,327,369,280,309,663,283,
117,723,897,219,792,992,786,136,825,207,512,540,822,671,662,199,245,595,345,
382,758,857,283,539,151,141,262,883,815,232,810,093,438,819,322,494,746,201,
081,221,974,548,788,946,963,486,380,288,109,026,324,428,642,606,211,348,649,
093,404,963,848,650,386,711,078,605,853,829,008,913,235,120,469,346,056,197,
147,802,251,432,178,596,613,244,472,687,137,827,961,782,058,309,717,254,683,
914,570,344,817,729,752,000,192,946,327,820,221,373,187,507,454,729,448,682,
632,818,199,525,451,078,188,289,901,969,844,827,617,102,841,889,130,345,443,
459,656,913,970,071,492,420,145,468,279,061,745,188,634,353,374,847,252,487,
331,447,619,712,702,378,343,670,463,747,240,749,769,213,494,742,906,250,875,
666,595,512,070,027,167,589,775,649,288,082,196,250,797,267,110,582,343,787,
461,863,996,245,856,359,016,174,399,488,471,116,336,557,400,112,907,369,911,
849,074,665,197,123,024,906,170,077,162,624,023,014,487,588,443,021,009,618,
952,639,820,098,392,890,353,467,872,889,149,918,692,683,334,536,791,278,214,
036,875,638,185,513,078,620,291,974,242,480,432,077,418,017,225,852,414,974,
854,000,859,603,114,571,349,020,556,331,297,080,647,584,556,074,966,995,029,
413,600,486,023,649,194,672,573,935,433,123,546,801,902,279,822,601,179,101,
341,943,899,556,123,418,805,061,228,176,234,905,181,161,713,229,691,746,758,
365,556,809,837,887,328,098,280,161,528,421,659,176,281,894,508,565,463,097,
120,916,313,861,968,759,248,500,557,686,006,876,275,046,755,552,928,443,131,
420,898,131,066,550,557,094,303,276,426,869,937,384,777,118,688,215,659,385,
382,813,652,949,204,724,132,578,676,645,293,927,365,344,852,915,735,273,180,
350,869,828,725,473,822,286,201,601,945,345,828,170,855,435,183,263,168,638,
991,455,004,973,365,837,847,811,751,715,353,465,925,224,053,438,734,494,354,
697,709,527,543,567,654,648,650,452,894,232,722,402,492,141,947,669,340,905,
141,316,418,848,153,240,179,803,634,783,861,107,097,332,851,444,398,576,513,
355,231,582,164,355,403,479,559,699,172,288,124,778,354,245,352,546,198,309,
513,861,849,222,184,511,245,630,400,630,679,649,298,014,146,737,511,559,590,
089,546,331,729,381,791,640,214,775,230,411,203,181,341,953,531,017,349,027,
769,850,066,737,809,135,155,925,377,707,474,503,217,488,372,939,733,579,401,
779,929,029,111,598,426,789,616,538,722,071,142,143,962,626,550,874,483,722,
545,907,139,981,403,201,959,862,309,037,494,016,093,017,078,096,825,658,801,
632,123,069,655,058,197,878,393,124,213,764,956,244,996,637,375,819,730,645,
640,556,006,228,753,153,921,823,743,694,109,258,646,363,373,097,430,238,634,
470,766,442,783,507,573,177,608,279,381,422,417,461,852,131,836,299,929,451,
298,323,975,308,657,692,249,720,354,751,798,429,954,731,105,244,717,237,997,
064,093,395,394,404,943,202,718,978,262,904,380,575,581,062,129,951,661,089,
351,643,847,428,814,222,912,900,133,595,489,371,454,597,320,969,984,300,253,
539,898,282,068,652,569,711,753,247,661,625,051,410,676,460,618,066,428,490,
612,437,323,320,800,705,270,652,174,103,185,420,132,226,131,248,988,468,450,
717,635,120,006,655,880,792,673,316,386,001,441,900,361,070,736,375,171,545,
089,665,926,526,009,276,249,701,043,449,751,490,427,862,855,737,853,147,469,
440,296,919,883,310,115,657,831,008,231,492,952,469,820,044,765,444,203,893,
855,191,210,902,611,291,702,243,236,748,007,485,218,322,037,464,555,650,378,
394,440,839,913,863,331,108,002,423,081,981,469,688,277,600,774,063,354,393,
435,055,164,167,758,014,381,029,524,222,317,594,455,279,361,828,987,332,522,
606,712,518,991,224,656,929,127,728,446,868,967,399,240,378,748,324,978,838,
937,197,269,097,916,945,727,015,997,760,822,035,218,535,468,542,035,155,708,
967,366,821,542,772,865,660,819,929,325,286,126,044,340,872,649,891,214,790,
474,938,158,108,761,826,337,003,875,384,905,149,466,101,989,379,850,016,913,
387,740,015,143,637,949,787,838,432,075,883,960,231,416,593,060,287,201,246,
688,329,398,174,928,652,860,284,919,843,646,411,842,501,968,417,068,788,268,
786,601,874,384,808,870,746,986,951,614,729,749,820,780,491,909,322,464,628,
920,222,007,751,589,344,780,523,602,113,432,749,909,975,250,569,638,277,906,
336,824,545,557,399,693,609,344,712,087,481,166,773,411,863,122,919,462,326,
814,712,348,212,249,035,455,638,770,883,561,470,692,494,446,486,980,567,233,
347,597,066,834,229,601,290,486,106,537,028,235,315,089,292,909,155,463,027,
880,529,887,472,104,690,505,481,328,961,971,707,255,669,846,078,207,685,915,
803,111,217,697,149,919,247,043,223,502,677,217,873,694,158,217,871,787,369,
756,486,790,961,495,210,160,263,752,019,545,695,092,792,653,777,260,622,630,
883,867,817,909,855,717,038,260,440,090,650,622,467,324,540,870,875,668,718,
275,437,452,273,695,332,122,307,041,476,675,097,133,546,885,430,373,054,161,
432,300,010,690,010,219,302,878,090,721,423,115,431,736,974,320,860,485,228,
980,443,911,612,406,713,360,133,036,523,037,389,612,102,485,555,822,958,343,
768,549,416,600,362,606,521,210,164,824,462,545,586,239,315,129,349,181,730,
600,225,293,810,646,902,673,205,297,870,552,185,397,513,230,056,096,140,766,
987,974,962,306,652,897,104,930,907,365,001,382,239,502,021,952,806,010,225,
225,837,850,273,040,784,177,176,675,332,324,276,727,481,868,065,548,664,588,
445,801,866,787,508,776,608,208,359,544,989,116,219,924,823,466,542,216,253,
156,347,907,771,149,783,660,317,346,459,681,165,939,957,943,724,673,628,194,
029,807,007,680,033,987,804,160,893,518,310,518,328,598,396,910,355,555,357,
329,439,232,301,493,739,549,405,133,645,205,595,038,911,065,757,971,148,099,
724,930,889,977,698,316,363,931,096,537,060,895,867,069,368,257,159,256,600,
280,400,079,679,626,037,243,079,507,825,274,200,752,407,838,307,186,573,049,
352,719,939,028,895,624,846,898,026,399,107,283,075,787,646,113,313,891,498,
249,480,826,082,788,277,095,853,898,309,441,584,103,134,961,025,644,623,315,
621,824,176,301,869,262,063,136,397,597,661,721,901,613,842,098,898,465,225,
388,064,312,532,641,229,400,466,903,610,918,327,019,717,115,732,575,804,699,
907,998,102,337,841,640,487,164,388,873,932,634,681,961,813,968,233,004,075,
303,937,586,355,625,594,953,187,667,488,743,770,085,395,654,898,837,788,381,
353,426,686,318,567,062,158,910,936,633,530,711,563,588,212,998,007,140,873,
521,510,890,762,217,519,210,450,425,508,471,379,133,959,807,682,469,180,176,
934,979,308,327,259,528,920,950,223,519,595,249,524,708,293,969,118,387,670,
073,802,686,979,545,620,250,157,574,873,754,600,939,245,149,695,869,331,064,
497,191,098,524,782,223,807,914,966,615,593,892,837,635,862,533,210,471,654,
539,896,475,857,660,657,885,687,940,480,330,647,000,087,071,084,431,529,260,
188,179,726,177,965,103,574,887,178,528,815,903,857,254,025,250,426,259,995,
160,211,707,999,519,374,567,784,000,791,102,535,799,221,199,780,498,147,522,
495,668,532,941,085,288,422,364,654,380,713,584,736,651,733,408,083,803,571,
356,671,059,546,888,534,245,191,718,356,102,904,270,200,323,927,275,629,347,
866,191,307,288,828,822,823,733,852,589,805,518,864,030,532,262,491,100,877,
837,349,359,041,730,941,490,595,224,653,873,618,057,445,053,004,922,669,047,
950,650,433,463,958,712,809,086,755,300,428,023,164,877,926,836,500,587,919,
778,682,903,415,911,574,145,088,769,411,633,933,586,077,727,854,103,433,553,
345,644,443,638,147,081,393,836,649,932,447,132,932,845,495,452,985,709,814,
901,532,266,144,490,853,687,657,369,618,492,423,229,189,255,096,009,956,710,
793,645,198,001,096,290,748,254,516,439,964,382,981,310,699,841,578,229,282,
585,219,840,195,040,843,811,471,812,505,679,760,999,362,949,948,984,545,990,
679,747,344,586,702,376,757,383,999,453,898,423,552,220,765,096,126,094,771,
359,413,703,618,741,137,089,982,491,551,452,330,405,441,051,425,822,107,886,
080,191,223,698,783,296,445,362,224,423,438,697,222,340,159,148,148,688,180,
236,675,260,723,821,490,292,943,391,461,425,094,265,798,772,162,626,091,977,
205,434,053,819,193,947,352,566,871,198,272,939,111,190,519,869,923,502,072,
943,279,147,343,840,813,045,029,948,278,904,169,479,280,952,982,646,804,364,
502,846,915,473,676,878,021,957,773,479,455,466,325,831,530,408,121,118,885,
595,497,084,483,597,890,216,364,484,933,605,733,254,471,949,922,261,254,002,
027,514,269,957,376,840,010,079,074,610,528,705,870,760,619,557,288,410,427,
295,815,544,929,187,415,583,372,712,370,486,954,573,188,782,461,729,530,364,
960,393,949,791,567,068,909,182,783,275,172,235,312,306,021,302,048,774,128,
581,700,754,312,322,209,958,305,123,567,993,813,914,492,828,277,176,938,474,
116,969,104,471,934,330,253,129,681,854,758,928,460,155,664,076,271,756,001,
530,776,264,217,419,393,282,614,015,951,859,992,336,887,868,979,128,929,459,
784,357,052,029,827,231,971,554,532,033,232,834,912,905,685,446,775,438,285,
468,613,921,018,306,323,759,308,843,571,771,037,014,872,318,294,194,727,337,
914,201,737,329,208,859,578,358,914,770,759,090,331,970,579,970,239,203,841,
077,378,686,783,402,878,384,619,466,710,064,911,440,599,995,737,707,945,967,
588,500,633,431,633,712,365,185,295,073,852,426,865,749,237,123,377,463,485,
213,794,041,431,832,897,572,059,052,875,234,270,394,880,806,262,106,581,834,
752,611,716,613,353,700,214,226,345,032,922,670,170,036,617,405,748,420,645,
911,478,275,019,546,830,858,151,312,881,597,202,383,881,953,495,401,369,279,
001,539,857,106,658,301,917,140,297,982,238,933,256,794,654,201,603,902,332,
699,649,932,213,491,475,972,716,352,991,656,054,642,099,533,649,587,873,894,
887,470,527,821,263,744,259,498,204,056,892,517,947,908,706,975,889,691,914,
258,813,778,574,571,821,960,407,499,276,451,373,654,891,710,339,462,401,430,
480,568,930,503,055,872,367,102,869,010,722,796,667,786,720,269,088,117,626,
750,930,922,535,377,848,140,026,851,190,093,370,179,145,318,332,166,307,047,
141,661,478,906,844,517,640,122,177,085,311,601,164,977,430,316,628,182,517,
332,827,489,898,043,093,003,880,310,428,283,416,246,815,459,290,005,961,674,
879,284,541,199,437,637,534,190,304,380,597,601,745,630,576,570,859,562,566,
449,541,369,459,011,165,978,783,269,750,690,438,862,573,296,509,548,526,269,
053,223,627,643,247,019,746,323,462,202,030,256,925,276,327,537,313,007,966,
750,612,744,736,426,296,573,787,751,749,773,000,903,481,555,970,478,402,007,
229,410,752,354,722,789,948,175,830,383,524,169,204,328,550,050,709,900,495,
577,373,701,358,785,843,547,572,702,353,776,556,365,868,474,966,270,728,382,
029,715,591,252,345,115,922,196,309,302,249,707,129,615,169,356,196,543,488,
810,809,329,596,937,330,688,670,182,825,001,239,336,173,101,274,579,085,091,
361,061,070,642,895,437,844,859,792,097,767,111,466,997,405,930,083,574,669,
852,297,869,282,221,423,570,254,637,478,893,251,782,384,443,474,961,026,681,
489,939,478,567,315,216,634,649,743,726,061,423,070,718,975,094,539,897,551,
984,225,136,153,916,342,634,560,154,505,474,933,960,570,598,499,531,121,488,
818,391,276,181,353,941,449,234,662,364,184,802,668,832,294,747,844,026,990,
184,627,134,648,231,693,738,977,873,199,082,042,400,360,991,906,525,204,018,
061,603,229,650,906,085,495,742,574,214,010,232,437,359,047,725,500,386,023,
053,149,278,847,281,238,856,995,154,620,861,439,242,400,649,196,059,008,998,
877,012,582,970,947,685,587,485,775,424,085,469,005,109,561,754,056,603,511,
550,841,784,329,079,358,744,163,599,607,225,475,045,169,464,122,254,754,867,
769,440,193,075,980,346,623,646,862,173,833,745,546,888,801,254,993,969,291,
523,610,578,717,578,126,290,975,205,154,183,701,428,032,303,879,612,590,914,
808,529,001,699,413,548,944,598,849,398,534,885,756,124,660,756,658,298,509,
891,831,878,724,262,053,895,843,187,019,795,649,205,211,559,935,051,761,768,
263,595,308,126,353,046,214,681,765,043,987,144,197,040,652,783,402,387,643,
575,494,281,864,321,549,501,194,432,939,348,781,747,682,309,843,309,107,255,
114,877,339,362,095,193,400,414,088,032,974,862,154,278,309,934,549,837,288,
587,575,642,636,934,801,610,876,248,979,582,665,304,193,065,961,978,027,064,
738,577,244,440,756,451,044,636,172,295,057,764,354,302,748,577,265,402,595,
503,853,574,488,424,987,769,450,658,390,709,723,333,535,179,699,207,671,936,
858,490,529,722,771,686,204,183,036,134,995,719,652,119,529,531,264,251,659,
125,188,398,135,701,156,191,362,547,833,243,770,590,631,754,896,445,014,785,
456,729,356,003,249,056,351,686,733,032,935,864,581,337,460,156,406,149,132,
256,888,494,871,092,961,953,856,890,200,815,811,129,492,001,582,312,736,560,
858,787,289,939,793,885,989,622,014,559,958,471,230,604,082,654,732,392,973,
866,101,475,350,946,794,014,628,970,746,207,612,535,480,064,192,843,017,446,
991,794,242,397,117,397,915,786,711,756,804,124,548,442,972,849,356,579,238,
880,973,107,486,112,719,859,132,598,023,183,008,112,852,890,324,627,577,054,
947,340,118,746,295,336,170,901,680,421,633,268,516,797,378,707,622,506,400,
474,938,403,834,329,899,744,246,077,569,652,449,174,359,797,640,859,778,097,
049,898,947,390,611,921,942,887,693,444,320,125,766,418,635,372,995,907,125,
272,285,511,771,959,258,626,055,052,968,771,482,321,158,695,940,466,943,468,
243,088,909,325,649,896,618,175,888,759,894,093,375,215,039,095,643,291,183,
446,682,916,316,032,586,534,961,783,475,034,775,490,486,351,715,410,664,090,
761,981,459,137,317,297,042,546,737,625,541,838,022,867,010,493,116,447,857,
002,601,977,306,028,369,390,835,781,171,267,651,413,373,327,677,438,880,129,
556,781,446,835,143,412,938,989,791,429,933,392,197,963,479,614,338,892,708,
567,188,283,933,781,854,187,989,758,466,819,717,336,711,980,476,678,780,251,
496,808,930,082,614,340,576,845,418,877,089,125,074,884,200,965,145,553,247,
740,231,542,391,432,155,355,733,194,423,858,575,532,236,226,745,811,722,534,
265,223,542,331,440,540,014,675,352,931,544,148,919,683,309,124,832,310,827,
794,266,671,231,912,419,105,814,940,241,320,887,802,886,748,708,745,381,865,
156,436,761,730,028,211,106,908,634,538,495,548,423,409,476,540,237,659,922,
257,328,509,386,108,081,555,627,001,152,692,370,105,127,052,410,128,017,727,
324,113,681,872,202,055,980,672,855,833,404,627,412,366,972,113,351,396,001,
781,552,212,989,535,180,758,452,180,080,334,904,191,055,285,897,139,900,014,
633,826,505,203,015,464,835,410,865,391,911,602,500,393,874,311,954,745,579,
939,493,516,020,730,340,601,081,158,786,306,788,278,275,276,913,582,579,055,
392,863,033,082,398,440,330,411,109,251,862,616,434,808,778,455,410,592,177,
068,543,362,693,838,405,506,898,913,105,568,830,124,658,611,269,123,273,951,
633,099,361,430,205,631,673,514,507,901,618,970,520,770,314,815,788,745,996,
898,099,989,311,531,392,742,160,637,162,328,877,956,121,956,492,148,497,230,
143,829,616,210,989,765,944,895,880,584,851,003,606,167,464,297,674,399,807,
985,569,202,418,056,363,120,369,454,458,517,204,080,424,728,259,990,980,740,
044,073,648,415,376,840,179,449,376,944,728,085,357,366,696,049,286,258,569,
610,896,565,107,014,204,056,287,488,781,555,754,999,790,028,934,562,246,203,
713,700,135,508,332,407,194,663,553,947,221,565,268,182,732,729,521,452,732,
948,184,278,214,702,113,435,431,808,847,956,450,898,739,572,730,883,443,811,
764,653,017,735,941,860,401,889,264,978,674,183,995,865,923,472,144,717,677,
150,948,052,266,627,953,716,998,051,407,709,676,817,990,835,230,426,060,753,
897,959,644,813,071,235,810,134,148,731,151,981,836,372,562,312,998,745,297,
000,885,938,894,538,181,045,052,097,885,864,248,075,565,178,743,686,690,961,
824,341,071,473,670,506,785,651,187,377,646,628,225,208,121,331,752,027,769,
215,275,860,161,149,219,471,830,658,143,115,502,552,886,821,189,875,126,133,
715,065,742,095,274,031,044,435,680,045,875,095,968,132,956,320,828,259,108,
946,491,209,689,557,532,242,278,681,177,399,937,565,421,704,488,541,807,025,
237,410,878,203,857,962,537,676,336,440,126,744,086,707,601,499,887,097,060,
098,218,661,801,300,761,789,791,316,826,808,133,610,090,017,339,464,194,036,
059,176,862,371,123,299,292,289,760,765,551,579,844,761,332,761,739,279,184,
887,466,320,819,042,652,783,120,078,339,525,069,168,132,444,971,968,094,463,
577,102,969,981,802,214,063,108,591,558,117,143,065,100,015,368,097,093,746,
749,647,200,122,208,950,379,406,771,039,840,138,894,560,343,592,327,456,315,
119,629,615,218,942,032,812,993,841,387,143,092,139,651,262,306,257,791,463,
047,405,565,896,038,447,542,243,089,261,521,294,184,553,896,010,066,131,216,
202,375,567,041,355,075,429,472,092,126,519,768,896,267,792,360,546,532,265,
375,512,463,661,945,807,468,039,229,928,243,041,171,982,710,235,612,787,648,
504,514,450,813,817,232,326,529,579,155,903,461,804,589,568,081,701,253,724,
176,586,927,475,464,990,141,058,697,086,128,012,965,211,847,192,443,005,907,
148,360,019,115,947,021,573,865,748,385,086,328,707,031,211,456,474,181,879,
707,336,005,325,710,096,893,754,998,159,886,550,544,166,973,192,079,313,266,
774,789,335,165,635,987,881,406,985,851,567,818,777,656,867,098,441,332,226,
859,157,886,754,602,727,201,125,182,745,975,682,362,085,197,382,728,601,953,
134,295,672,054,890,469,910,964,882,437,251,012,375,203,296,451,123,055,802,
146,633,937,317,519,745,334,777,297,767,643,125,309,774,453,010,606,664,306,
916,766,640,110,990,032,954,985,152,141,446,023,994,093,141,181,251,890,882,
492,521,063,430,031,226,637,715,919,789,582,048,145,498,228,742,262,718,174,
117,667,318,253,316,233,076,929,483,353,661,035,524,699,222,515,604,208,720,
073,724,565,623,851,737,786,801,366,972,706,491,577,950,799,905,898,673,924,
235,166,151,772,116,091,261,383,678,111,041,259,129,088,941,709,070,991,044,
221,912,409,286,773,810,444,831,511,208,652,655,992,226,006,198,767,667,239,
964,714,849,458,051,949,686,123,655,071,658,861,013,146,946,742,358,200,033,
309,623,366,325,014,779,170,043,602,626,614,245,304,125,262,968,869,375,033,
672,643,387,541,007,855,730,030,819,079,781,823,883,849,750,424,620,707,951,
556,054,698,637,126,667,283,292,050,746,316,627,042,655,176,754,744,298,728,
430,648,187,324,941,532,633,763,057,189,019,202,955,592,405,309,003,069,612,
299,797,084,235,144,058,352,512,823,341,616,538,246,602,642,258,281,280,076,
858,227,241,304,180,654,151,081,587,550,522,642,099,064,288,141,406,093,955,
866,857,251,487,682,975,240,412,887,605,854,529,909,392,125,670,695,434,753,
608,077,329,686,921,633,314,560,902,679,195,136,375,369,380,089,196,706,885,
418,342,167,974,320,462,642,956,441,262,268,907,368,170,556,014,308,211,812,
077,421,189,776,612,358,606,028,514,793,434,646,489,407,242,959,231,207,893,
973,012,677,639,106,145,701,435,725,673,886,114,144,420,315,841,254,737,057,
339,086,557,840,816,558,419,236,085,844,890,684,878,272,475,261,414,612,743,
380,245,160,416,731,464,778,783,371,821,975,354,756,341,518,118,081,267,143,
957,864,998,731,234,812,650,545,659,689,331,536,465,740,317,958,125,444,242,
824,316,509,388,692,462,093,645,326,548,025,764,956,770,179,886,399,094,696,
314,872,911,693,961,757,648,182,806,524,618,461,837,422,453,330,632,111,113,
960,682,160,064,691,521,192,525,292,032,601,406,322,364,987,133,187,052,885,
111,499,999,628,922,004,255,275,209,272,349,624,802,102,699,990,330,935,686,
458,454,084,005,027,547,394,559,594,163,138,674,864,330,232,489,887,702,181,
262,957,395,573,017,709,480,825,416,378,374,792,577,385,006,074,335,631,032,
805,253,086,691,904,933,494,064,430,427,653,570,421,184,294,805,344,518,050,
588,408,544,446,276,266,817,054,049,804,239,184,078,145,100,843,944,974,466,
141,064,538,204,947,479,422,583,905,118,346,501,775,657,718,354,294,808,781,
250,805,202,245,942,821,297,599,769,980,018,012,929,241,559,047,292,212,931,
631,143,642,196,532,686,925,041,777,021,882,552,764,129,159,861,461,759,247,
090,655,097,410,472,892,634,832,217,365,340,464,282,774,840,825,178,219,998,
837,747,767,426,162,537,548,995,356,268,102,309,417,120,714,185,743,119,191,
034,799,789,011,216,474,682,132,382,304,718,766,666,565,322,569,281,915,676,
887,278,216,418,854,070,506,108,610,867,743,343,572,166,112,492,976,907,772,
353,879,370,011,766,603,496,196,369,483,312,514,754,100,032,328,889,642,756,
788,292,647,858,147,523,675,198,236,804,382,475,873,560,887,437,347,278,746,
814,766,064,051,549,382,180,162,226,110,471,778,747,552,028,006,457,925,454,
406,711,193,031,762,737,533,737,320,234,265,565,867,718,930,321,673,959,060,
928,264,592,534,082,805,525,491,436,053,747,195,183,582,078,553,352,855,631,
138,389,585,786,303,031,134,749,665,872,745,784,002,621,310,426,161,384,382,
982,890,135,117,463,659,106,965,774,801,423,025,813,830,317,848,906,742,613,
623,953,031,318,521,926,177,358,190,542,916,994,014,405,826,641,722,497,038,
903,287,113,744,111,812,316,569,008,543,484,450,861,991,796,070,496,191,786,
932,225,911,200,475,263,273,050,598,327,192,852,540,648,519,848,149,232,640,
894,536,733,473,247,161,390,884,892,928,866,837,177,155,857,584,391,837,912,
734,305,807,344,372,722,291,101,637,408,375,817,138,277,855,124,713,448,000,
484,000,408,558,115,805,236,379,884,073,832,973,315,337,189,156,306,174,176,
831,697,804,646,628,356,517,515,358,680,572,909,184,735,384,797,313,526,095,
361,811,476,206,720,252,448,746,591,704,290,067,100,003,368,359,001,237,729,
308,489,351,635,782,524,561,028,853,590,506,082,996,555,278,381,195,712,232,
344,729,129,525,676,097,167,979,494,750,268,200,842,359,562,632,769,057,684,
667,880,870,303,813,993,557,925,267,346,172,472,826,468,356,273,938,253,561,
638,917,995,318,376,112,819,979,654,997,939,190,018,927,513,908,245,047,486,
965,190,550,974,251,763,141,406,636,468,685,945,395,331,798,847,538,532,001,
858,914,372,165,580,515,717,772,091,171,390,077,205,689,817,818,490,490,798,
585,478,109,288,219,220,894,419,040,500,632,252,700,761,486,416,022,592,330,
642,433,865,236,810,829,598,879,567,102,821,007,225,943,273,573,915,958,896,
242,597,454,350,355,994,822,923,712,644,192,499,820,699,396,106,419,231,797,
570,255,551,715,629,068,133,853,376,199,281,773,304,967,598,408,477,762,543,
088,872,282,778,997,997,515,248,519,607,612,081,837,373,533,464,659,575,610,
865,457,619,171,209,249,414,344,551,183,184,618,877,518,433,626,268,720,609,
551,254,972,717,299,896,989,306,759,426,177,264,538,966,018,982,841,513,188,
483,479,097,042,700,571,080,722,453,473,419,484,043,017,121,403,517,663,221,
150,223,465,597,077,677,490,221,658,218,453,553,153,977,782,517,922,840,189,
599,125,126,831,050,619,603,907,890,024,135,299,891,243,692,695,487,992,562,
108,610,926,762,069,659,396,796,233,331,000,695,478,373,148,582,869,310,037,
612,117,669,278,008,260,054,521,340,016,253,983,654,113,759,470,348,679,056,
424,385,249,097,167,211,860,613,446,427,857,348,278,699,707,197,514,777,074,
461,067,500,629,680,503,021,169,611,835,085,189,349,037,388,566,705,854,550,
991,687,596,709,319,549,459,485,430,865,227,621,111,314,500,527,737,573,480,
808,716,823,213,841,832,949,179,067,802,132,209,301,944,194,701,303,303,802,
141,899,932,267,760,072,473,851,958,079,865,686,299,070,862,509,319,283,548,
860,055,427,693,262,036,235,413,775,187,379,718,331,367,569,741,025,839,730,
748,333,484,733,864,190,921,781,181,159,953,913,249,348,363,543,534,737,975,
240,851,374,719,399,041,048,035,017,344,109,289,047,704,621,976,132,359,466,
268,930,998,394,250,206,289,201,097,178,461,472,337,030,979,394,094,134,391,
944,241,589,148,627,382,790,623,663,162,750,242,335,309,435,340,136,389,910,
412,708,690,270,534,724,533,998,936,276,119,309,392,498,688,315,701,058,214,
847,291,615,522,745,839,452,140,583,747,067,171,501,968,351,422,471,912,430,
140,091,600,747,582,085,972,057,705,192,506,839,042,987,189,119,519,901,200,
916,376,012,402,657,890,324,256,889,051,180,215,065,974,638,622,857,046,733,
802,409,786,515,894,598,958,630,535,673,803,957,579,087,480,047,790,101,391,
803,936,939,478,379,493,922,408,941,629,905,009,636,378,945,845,339,573,591,
370,711,216,395,358,902,942,864,318,905,015,425,447,573,201,996,553,183,458,
596,225,126,575,422,502,352,940,583,625,126,584,881,425,032,799,251,665,484,
333,286,346,273,500,963,912,775,969,420,702,321,657,036,933,411,579,254,052,
956,008,295,005,742,837,398,782,712,106,673,203,156,346,155,697,361,977,002,
801,585,544,239,742,560,062,247,136,624,846,025,687,511,070,775,943,195,547,
264,572,176,166,594,609,215,205,630,803,214,425,110,618,220,975,892,309,387,
881,766,847,109,487,214,347,082,224,409,339,408,655,018,738,654,229,753,843,
538,828,298,178,286,252,362,091,817,254,357,046,331,165,300,223,295,328,544,
406,126,707,565,035,722,576,123,674,957,560,057,992,805,645,097,723,011,174,
085,994,247,071,642,216,297,514,004,824,866,552,570,052,525,933,839,078,108,
676,469,961,720,262,998,358,862,727,456,144,340,009,216,540,026,790,705,551,
630,197,913,474,954,389,983,084,218,825,206,438,091,755,374,971,179,700,312,
522,281,231,675,259,022,956,048,922,561,467,528,883,473,444,594,230,549,892,
425,909,198,337,250,408,675,588,043,985,549,392,618,690,781,922,195,422,500,
647,530,259,420,666,851,026,663,755,786,772,418,862,338,065,731,211,094,164,
979,192,467,442,795,632,291,738,619,228,410,571,195,213,282,314,088,201,818,
553,582,590,766,493,561,903,732,223,006,726,404,745,380,470,640,129,869,576,
984,406,268,680,586,556,093,168,824,456,871,514,044,145,462,816,209,956,838,
009,623,547,994,374,500,005,642,151,896,001,685,426,000,598,889,640,362,907,
072,978,961,699,761,472,770,606,019,978,877,434,041,011,506,604,061,721,067,
718,643,597,983,250,176,538,308,156,917,645,230,109,795,330,275,307,735,061,
035,633,823,080,200,074,704,285,527,740,485,828,205,223,838,497,092,196,254,
818,317,878,652,892,308,128,518,848,737,145,902,181,785,895,715,833,947,837,
927,861,504,561,395,289,850,985,156,669,824,118,140,408,647,406,304,955,016,
738,378,938,418,284,772,247,577,993,649,151,623,305,319,874,859,748,858,651,
668,864,363,867,532,041,365,154,780,428,516,424,021,955,382,206,644,922,017,
722,835,285,769,992,098,659,816,583,225,203,315,134,195,344,946,275,454,013,
580,893,652,730,056,006,993,161,648,577,785,723,430,796,794,830,815,719,691,
323,337,235,525,552,541,790,488,987,244,966,441,811,216,312,531,955,977,142,
578,438,861,371,872,717,599,128,306,928,750,366,210,352,988,402,854,586,179,
176,953,471,597,133,255,842,702,441,616,786,316,870,335,548,439,526,470,528,
641,082,963,271,933,361,673,270,942,305,560,450,421,010,174,454,733,207,614,
447,947,697,897,729,810,592,022,143,227,161,108,133,851,002,254,611,010,180,
426,804,038,918,696,735,441,000,054,912,573,284,938,089,960,183,845,507,289,
586,778,567,759,185,156,776,483,890,529,645,245,998,459,360,640,520,787,748,
791,166,466,726,967,498,574,774,919,842,385,721,222,189,568,334,664,979,639,
653,440,451,583,905,529,193,034,890,626,410,711,818,297,844,212,926,145,793,
096,187,173,448,608,339,306,039,908,643,361,739,145,299,134,351,332,276,118,
953,074,874,721,810,776,728,274,808,345,769,470,697,257,415,796,565,718,424,
072,724,686,088,301,257,504,112,144,976,786,000,574,879,965,938,684,886,643,
154,767,647,535,865,367,745,792,584,091,163,874,370,000,867,811,723,078,187,
914,458,793,503,949,843,250,235,401,675,965,151,927,582,059,037,724,678,196,
210,310,010,152,980,740,094,173,883,793,726,057,678,248,516,216,116,443,881,
059,335,768,286,144,558,121,197,994,556,157,129,955,992,639,068,354,333,137,
044,470,222,449,391,318,027,359,657,472,469,130,848,624,016,840,257,674,151,
013,564,837,357,505,021,120,172,307,160,834,158,224,145,165,943,242,734,706,
498,873,708,497,051,815,675,411,649,528,787,894,479,301,635,702,222,414,501,
484,252,364,493,809,072,129,989,339,397,628,633,786,093,462,174,882,302,671,
548,411,713,719,568,121,806,886,582,733,692,619,029,822,031,713,359,506,018,
033,117,126,693,101,585,996,482,108,282,703,536,560,144,967,471,244,584,224,
801,682,825,094,739,189,005,910,739,952,414,246,111,187,343,951,802,159,376,
645,028,754,236,880,314,672,560,620,644,698,778,431,851,322,384,185,433,962,
966,180,903,547,040,019,459,880,155,248,644,771,422,412,518,193,557,802,696,
783,727,730,276,052,551,624,562,934,716,558,190,545,715,197,905,542,215,361,
800,206,134,120,136,986,002,646,916,486,905,545,734,083,379,425,358,279,941,
103,809,216,243,077,123,512,948,403,144,466,935,150,786,886,795,165,849,776,
328,337,115,531,808,356,082,062,709,603,216,468,634,850,378,090,640,427,711,
654,441,458,383,223,654,482,601,510,459,751,076,498,405,290,125,987,659,956,
224,812,584,299,687,992,472,239,219,822,913,013,952,116,543,644,389,504,722,
647,969,154,837,029,653,837,393,298,760,990,520,150,879,272,686,006,838,925,
327,913,935,264,551,078,170,414,704,965,455,193,339,548,195,352,248,240,340,
063,525,482,686,240,208,711,249,107,556,680,483,030,099,362,193,431,769,954,
059,213,012,454,611,724,811,108,407,281,287,509,312,558,001,394,571,597,021,
141,325,263,857,529,085,673,581,890,729,131,989,378,640,273,491,135,677,950,
398,952,112,486,412,063,761,019,107,570,436,571,528,520,256,692,658,975,551,
957,096,864,109,768,512,437,833,666,009,190,235,104,775,899,021,191,235,980,
316,440,761,393,076,661,783,480,805,650,835,187,681,857,237,139,822,518,883,
392,762,348,854,302,883,435,196,380,556,216,828,658,263,666,857,375,802,028,
415,529,615,456,838,551,790,577,115,829,360,089,467,137,580,237,346,651,498,
521,649,797,783,750,254,926,044,596,126,927,260,045,220,750,213,692,464,853,
259,095,434,426,885,544,513,751,453,376,240,341,864,166,612,272,370,651,749,
033,245,807,430,699,433,677,975,869,945,821,733,211,092,470,981,798,264,850,
871,885,648,453,395,793,005,145,461,606,491,495,541,877,209,589,190,831,407,
558,598,507,477,657,784,671,651,219,313,723,714,639,833,088,591,684,582,893,
543,397,546,892,698,500,792,814,511,815,207,559,399,019,237,376,360,409,737,
137,348,580,955,044,042,640,217,760,662,278,886,317,311,395,006,180,388,805,
668,029,101,838,835,222,402,767,256,501,833,664,567,410,913,473,106,863,190,
627,164,514,749,521,183,286,574,937,993,313,853,638,866,108,529,726,159,110,
249,856,502,533,752,735,134,420,625,767,293,021,045,925,505,862,388,047,430,
433,066,833,516,796,002,935,706,492,537,288,551,357,535,654,605,976,366,046,
710,646,197,922,400,704,481,167,880,107,885,221,084,022,456,098,945,201,392,
949,750,219,147,354,866,363,812,965,781,671,321,519,756,667,387,791,200,914,
501,725,395,695,767,747,891,358,243,134,369,467,952,773,456,419,184,058,531,
433,736,962,653,542,985,716,547,161,735,125,226,306,565,669,903,269,604,829,
307,272,096,391,216,887,986,872,312,670,493,446,217,388,000,998,257,476,854,
379,626,047,482,758,992,887,704,693,012,733,907,493,183,948,142,567,390,071,
792,581,460,123,651,559,998,413,132,767,960,272,814,527,533,152,874,814,619,
233,020,357,069,083,442,484,491,205,095,004,920,223,232,129,073,479,510,990,
014,210,443,040,033,576,374,165,530,134,574,354,288,466,471,448,827,948,353,
760,925,483,633,536,452,446,352,039,124,828,546,066,826,735,426,960,543,478,
200,501,489,146,798,534,985,774,122,182,397,775,968,896,280,717,076,416,969,
099,680,901,179,732,067,732,096,483,239,809,593,023,475,868,474,270,322,470,
135,283,513,844,115,119,770,754,206,127,236,819,060,410,923,818,229,501,726,
428,481,601,698,786,118,792,239,402,140,692,835,054,568,288,452,870,072,931,
382,577,321,065,991,151,335,165,345,851,154,133,469,296,693,730,694,599,603,
529,366,493,028,635,158,666,359,501,038,850,208,494,907,588,099,318,622,637,
531,675,532,394,468,639,245,068,305,890,269,193,656,125,406,716,683,390,972,
221,975,164,966,081,860,079,072,617,782,705,433,760,080,586,778,219,921,958,
488,683,506,502,282,640,870,063,942,351,763,620,732,416,566,621,090,048,637,
493,396,264,213,898,873,085,696,235,159,773,000,564,518,910,260,527,818,434,
451,613,816,141,762,650,728,380,307,827,334,343,903,050,860,962,926,345,281,
701,149,591,420,714,453,912,249,437,844,768,976,394,711,909,142,118,847,723,
107,338,468,292,628,752,159,785,028,741,483,993,568,754,223,443,657,139,846,
957,796,578,522,129,734,132,925,233,846,125,040,727,116,809,824,676,306,492,
286,120,935,541,972,667,455,758,621,102,150,073,530,811,340,962,761,511,768,
356,435,264,351,086,525,524,039,186,100,298,837,293,672,509,445,296,475,440,
524,983,921,552,308,992,031,417,525,711,733,043,764,208,146,152,083,390,376,
611,370,386,701,904,858,405,005,047,449,321,564,406,404,216,065,685,861,389,
800,334,433,554,893,043,165,721,229,484,032,305,960,136,320,231,560,521,369,
066,307,345,332,986,464,336,544,715,306,472,039,489,715,442,831,115,999,011,
267,713,236,754,096,153,295,164,283,228,988,692,197,960,936,513,100,122,866,
644,079,952,082,543,854,714,764,172,475,744,996,574,619,277,892,584,824,176,
993,975,781,524,919,412,055,970,627,686,907,996,562,396,362,736,916,443,106,
286,173,719,615,069,654,693,108,487,331,864,384,378,532,614,274,499,754,050,
953,140,014,092,919,450,801,146,587,787,411,024,572,906,359,929,903,728,752,
289,393,721,089,407,179,345,498,147,558,684,795,812,411,401,489,370,666,456,
901,403,361,788,493,576,721,827,689,459,758,704,025,613,868,377,079,820,562,
198,717,086,543,274,514,184,158,282,553,955,300,455,219,280,965,583,167,625,
154,767,414,842,114,361,580,991,599,922,126,616,653,346,920,788,157,756,807,
812,193,150,873,887,081,500,621,546,097,351,225,535,816,686,668,924,688,985,
014,948,192,186,320,693,412,700,588,819,991,893,625,623,363,605,594,992,112,
444,961,682,956,364,019,805,581,685,288,053,444,122,231,768,600,953,428,240,
459,542,487,879,705,265,262,663,523,741,501,461,196,284,354,608,621,488,765,
679,056,804,107,409,226,456,498,005,582,530,861,070,205,581,463,309,378,764,
746,515,309,627,628,271,570,958,046,688,149,188,431,347,606,536,537,393,152,
915,844,242,834,555,303,316,885,268,217,142,987,230,067,042,482,232,221,491,
037,053,902,240,601,016,175,817,451,937,886,452,597,756,760,779,637,042,089,
112,959,717,749,050,976,132,528,955,393,496,141,347,685,792,368,559,503,363,
213,168,723,885,052,176,983,879,405,185,513,518,550,727,091,479,214,219,683,
675,197,627,386,159,519,956,661,685,732,925,539,783,402,492,471,699,663,889,
473,466,138,222,028,868,527,369,208,511,672,632,927,605,860,411,359,356,042,
130,922,814,047,204,513,485,517,216,610,436,568,223,837,303,841,577,936,767,
958,743,694,264,268,224,948,976,672,645,059,609,997,155,946,100,047,093,835,
873,300,011,565,770,797,339,040,063,249,978,718,861,229,768,969,570,699,152,
194,078,579,822,789,266,270,202,272,112,526,484,243,962,825,739,788,010,745,
893,510,783,550,134,775,081,275,413,820,470,118,096,639,111,512,047,291,666,
278,603,952,664,854,811,724,324,069,898,915,661,515,346,824,668,681,453,094,
468,546,297,063,484,605,484,267,610,371,384,749,490,096,626,135,177,120,546,
043,584,605,099,995,101,619,563,598,806,076,616,814,453,894,809,188,652,804,
566,086,700,816,764,625,491,067,671,715,625,478,665,421,762,777,350,247,041,
479,486,414,158,530,695,125,018,761,622,596,338,706,384,491,738,014,031,045,
084,333,053,484,779,887,205,758,474,283,993,941,442,364,740,877,717,045,044,
815,104,620,826,961,839,277,960,347,799,458,062,583,039,396,104,736,057,416,
837,036,512,983,225,232,464,714,110,615,737,235,415,531,254,332,772,406,100,
619,160,932,145,862,265,110,612,102,758,676,295,214,622,253,580,005,253,028,
293,058,863,171,621,377,711,883,077,871,897,405,264,591,121,255,223,317,707,
762,177,883,179,943,811,309,116,309,011,888,191,539,439,116,945,338,558,485,
169,070,531,815,459,282,839,813,403,000,048,759,424,956,805,200,552,793,636,
142,086,077,246,198,750,120,473,041,308,164,210,728,237,062,627,144,076,031,
205,631,881,892,706,013,570,470,402,459,063,162,372,415,385,941,033,573,208,
245,508,371,526,394,743,728,157,756,485,011,831,730,051,740,090,639,373,507,
192,853,534,911,884,618,887,197,281,141,068,112,435,156,629,554,737,472,975,
538,455,503,555,991,608,996,350,168,720,218,462,165,330,771,057,506,227,273,
858,208,240,315,821,326,236,845,572,793,462,550,053,092,696,202,761,749,698,
904,616,407,918,618,239,145,504,580,945,131,190,490,922,089,696,634,667,956,
360,701,943,770,409,936,802,660,796,957,181,182,364,951,722,741,204,782,127,
262,499,766,455,637,779,229,139,789,652,115,849,949,631,053,769,720,865,461,
061,382,455,803,472,185,858,069,781,349,035,287,733,517,358,769,649,237,284,
716,043,513,158,799,928,165,528,570,568,982,570,453,671,549,097,172,742,793,
447,524,801,660,335,952,889,803,216,610,803,466,668,257,968,565,033,214,565,
414,565,041,139,721,329,085,732,910,846,214,605,678,049,911,016,815,181,536,
293,589,529,520,837,390,426,395,332,915,500,671,204,593,385,671,469,358,245,
042,828,452,687,272,963,780,905,782,544,736,142,766,156,004,064,688,675,771,
845,400,776,358,631,977,444,962,642,433,356,529,205,709,427,211,998,994,318,
053,013,288,869,479,649,200,136,708,782,905,750,293,965,352,330,360,994,156,
515,434,270,758,719,575,913,655,510,280,151,533,370,577,594,229,524,320,555,
059,119,090,866,654,603,811,417,807,496,970,395,718,626,611,280,400,401,781,
278,073,931,821,055,607,443,190,334,181,821,830,635,358,767,568,156,872,345,
456,539,900,890,260,171,061,019,436,272,477,464,372,853,469,942,812,401,172,
876,238,486,812,074,279,167,275,811,766,768,133,857,177,568,485,376,630,934,
119,127,367,894,328,638,707,598,465,208,901,503,101,790,345,333,215,679,978,
009,798,175,298,227,607,388,034,128,963,086,678,564,672,949,275,940,010,135,
192,102,760,414,564,579,535,866,701,164,518,195,277,190,686,874,924,609,231,
115,645,992,997,570,627,715,066,274,503,348,186,554,613,342,859,175,334,818,
893,200,511,699,445,139,760,145,456,675,939,034,002,243,030,226,967,346,924,
465,420,748,867,485,812,797,688,302,948,143,781,651,985,549,115,859,117,015,
076,160,028,282,498,770,977,045,185,253,452,916,482,327,240,875,974,608,200,
256,625,040,330,536,743,352,862,242,150,689,842,336,834,405,725,964,584,787,
802,431,386,888,847,461,596,071,043,502,294,964,670,903,154,185,810,572,794,
811,376,705,584,828,754,674,583,381,353,444,851,294,482,054,984,124,601,549,
485,950,039,399,032,648,025,543,157,563,468,471,954,889,879,108,599,842,383,
907,848,268,105,325,950,395,564,903,241,540,351,093,458,697,021,423,333,445,
412,145,773,591,972,216,362,241,287,579,507,271,324,675,020,612,532,838,855,
618,076,721,867,129,927,891,204,505,909,974,551,342,027,470,895,350,030,914,
681,671,442,699,921,335,581,687,795,760,046,381,374,998,461,319,739,388,671,
514,103,876,427,290,484,101,204,771,624,442,825,117,995,542,592,506,503,060,
044,330,474,120,087,194,288,184,158,334,177,325,943,514,034,121,705,070,927,
700,802,395,081,056,740,788,780,684,643,520,506,096,824,743,794,591,188,140,
949,929,523,351,533,347,095,135,541,736,283,333,601,496,668,283,181,339,443,
819,430,188,825,936,574,230,486,639,719,298,097,114,304,637,616,377,288,214,
174,071,836,112,032,273,645,230,605,238,666,097,521,387,768,972,238,944,040,
595,689,152,931,882,670,838,193,193,567,896,144,024,618,994,682,649,443,345,
358,197,547,205,019,521,930,132,229,081,326,791,578,834,218,195,334,024,855,
839,139,441,465,555,955,952,806,177,611,182,715,012,555,117,047,640,927,454,
562,591,457,813,688,320,533,951,066,711,315,616,819,844,223,635,562,011,172,
875,167,108,139,906,532,684,543,366,146,517,444,650,020,419,243,025,188,862,
661,219,732,131,489,255,249,295,687,707,942,108,642,744,589,724,888,767,586,
283,935,641,044,581,153,272,868,145,485,533,417,929,302,088,055,685,566,532,
698,081,638,371,823,336,665,063,992,982,815,006,194,150,208,409,108,263,183,
206,603,488,740,458,987,663,814,520,787,979,205,813,285,380,878,990,703,503,
840,038,250,409,762,551,587,563,106,430,354,711,349,650,273,773,873,633,414,
725,510,495,723,732,401,952,891,016,848,844,109,184,332,578,270,315,949,775,
690,920,562,008,045,102,877,410,669,370,193,881,436,754,341,162,859,741,286,
771,897,161,369,750,618,637,736,049,382,959,144,638,641,536,500,478,767,701,
206,167,357,339,230,361,234,774,147,562,169,055,083,455,791,259,619,777,104,
201,279,626,218,055,362,914,765,712,111,044,689,299,232,423,273,868,811,954,
538,304,269,188,517,903,545,388,902,982,989,423,024,925,991,831,673,376,668,
141,375,262,263,226,984,994,716,446,111,665,970,695,951,434,855,134,608,321,
518,297,697,798,062,335,214,896,085,098,595,842,122,568,157,536,840,136,801,
294,633,510,665,418,257,627,196,352,518,163,985,465,090,901,377,503,343,708,
369,299,486,869,559,643,686,368,895,282,174,330,458,286,309,272,609,294,940,
836,772,676,378,872,697,847,050,324,809,114,473,765,092,233,650,298,219,645,
618,259,807,205,882,090,208,325,860,323,319,952,896,969,028,360,136,567,702,
668,100,745,986,173,672,255,853,558,270,829,930,152,271,904,860,398,783,502,
736,415,361,053,565,939,093,232,163,302,383,058,512,062,887,862,241,295,736,
406,316,801,042,957,177,169,048,995,439,834,155,851,931,914,216,502,135,753,
699,676,232,202,009,333,868,389,376,713,989,857,128,429,063,568,401,838,986,
706,208,164,122,096,018,203,887,173,263,824,397,407,108,383,079,417,297,452,
322,679,002,492,579,343,022,999,450,328,090,587,159,670,589,458,891,271,659,
318,718,046,143,127,089,000,936,479,676,734,963,820,662,988,416,016,905,614,
725,422,135,575,570,163,212,160,765,184,203,183,432,821,898,776,814,940,616,
961,043,581,741,502,675,778,533,646,702,240,674,452,676,173,252,925,810,338,
751,934,995,616,415,805,645,536,920,545,110,457,585,811,060,780,529,166,121,
376,236,021,477,511,696,106,259,523,214,003,106,053,147,064,886,718,014,816,
752,499,336,475,182,687,049,776,092,340,816,817,086,840,175,541,013,820,216,
405,417,437,562,288,277,892,508,948,932,671,388,945,877,343,619,584,599,273,
063,380,223,915,025,694,773,405,738,219,596,936,533,118,331,034,663,452,568,
605,035,288,993,037,667,843,624,142,536,725,991,134,678,076,037,466,644,115,
852,920,783,142,987,395,961,400,956,444,891,698,533,808,004,513,651,923,399,
146,498,866,186,409,775,595,323,189,055,334,726,750,989,956,849,534,506,607,
751,000,254,761,656,210,759,292,913,759,721,504,571,230,521,475,544,675,941,
733,444,363,750,995,933,564,782,679,610,705,231,057,458,040,207,354,726,163,
894,297,998,512,693,694,570,983,484,482,843,117,904,796,977,450,673,484,793,
352,598,953,201,281,453,703,737,097,109,943,267,390,104,009,683,962,412,688,
179,401,864,727,270,609,885,409,214,094,563,857,914,871,277,333,490,419,076,
061,886,193,138,690,670,797,030,588,962,420,076,719,590,533,010,882,477,962,
972,620,353,262,231,841,236,650,414,466,490,444,925,933,262,360,272,903,390,
797,979,671,853,527,810,486,138,912,100,302,377,161,092,389,449,019,047,368,
740,180,691,813,086,031,380,543,060,018,450,928,324,592,331,315,381,518,870,
933,790,338,845,543,562,135,628,253,347,362,322,469,913,488,712,811,917,647,
725,016,878,066,210,173,942,803,509,581,870,156,169,590,990,497,080,135,090,
053,456,854,364,994,939,137,070,592,115,515,660,857,744,981,410,888,399,578,
239,045,691,042,850,848,657,807,967,953,502,763,987,775,884,009,473,078,203,
222,743,752,161,267,840,722,089,781,230,820,229,134,173,936,888,326,424,879,
065,581,570,243,135,784,551,278,156,093,269,322,111,181,706,398,218,067,574,
528,914,259,510,487,588,715,900,042,785,928,660,405,224,521,154,450,323,129,
064,431,894,576,111,238,772,406,199,084,830,702,648,367,477,045,751,205,217,
246,263,924,437,714,667,192,985,597,642,140,057,439,990,288,101,386,679,240,
787,794,735,009,987,021,834,163,493,812,463,586,450,700,507,698,775,827,535,
448,013,811,136,312,316,730,354,962,181,552,109,635,657,741,417,457,865,504,
131,549,240,346,419,847,958,010,455,834,699,693,967,093,806,324,207,127,725,
015,081,277,088,046,115,060,389,769,129,739,327,393,065,406,131,432,981,476,
554,040,191,276,371,287,696,156,737,433,344,757,302,012,757,285,577,382,351,
327,772,839,878,701,322,945,842,879,820,356,207,893,945,782,282,297,191,000,
595,299,054,375,736,112,657,899,660,225,801,639,634,381,077,454,277,189,183,
743,750,293,534,018,043,635,959,963,121,406,752,079,996,210,798,842,312,317,
298,842,773,493,559,963,050,151,059,263,768,571,703,485,614,856,973,419,453,
521,553,587,550,059,687,315,311,555,239,539,462,369,377,160,904,867,069,086,
441,760,382,864,126,136,260,935,796,325,063,457,905,572,277,070,422,042,011,
882,052,121,094,817,799,419,500,615,849,623,066,768,908,005,951,209,608,716,
467,773,240,874,372,445,701,802,430,391,058,944,903,659,167,461,884,869,499,
128,539,748,821,456,564,052,303,460,517,454,400,911,295,426,085,591,770,795,
151,519,266,447,892,470,777,766,660,298,251,261,588,975,460,003,771,959,579,
242,410,088,310,930,760,140,152,944,869,977,716,746,340,148,766,990,515,324,
517,674,835,778,363,128,658,592,533,944,795,036,428,906,970,058,690,432,935,
438,081,810,336,626,476,487,818,162,284,917,923,270,677,928,493,276,874,923,
245,999,686,678,264,094,078,710,332,717,236,594,368,198,995,478,100,244,138,
359,148,171,787,963,853,322,768,901,979,199,143,737,279,143,628,850,832,367,
947,146,137,517,239,193,501,192,572,241,159,438,933,452,816,356,531,432,973,
940,636,673,049,155,924,524,651,518,190,054,828,675,423,382,779,568,356,806,
029,777,956,043,656,712,170,143,951,728,357,628,711,128,217,327,230,646,707,
109,861,959,621,685,795,088,333,418,467,764,600,525,058,649,558,548,456,224,
336,309,147,005,497,681,471,993,639,523,101,660,979,503,732,598,150,887,924,
866,500,329,840,740,676,533,305,256,447,776,484,348,838,439,291,318,570,091,
793,888,374,396,959,261,912,556,626,035,635,728,106,832,603,700,012,323,074,
244,240,657,016,565,145,497,010,404,148,651,474,295,864,168,276,647,186,423,
948,051,947,987,266,814,853,902,811,722,896,046,084,847,195,355,602,510,582,
306,669,267,058,553,740,410,158,295,647,012,166,897,044,965,796,582,982,021,
177,393,103,184,985,814,095,902,994,747,711,663,312,690,611,621,997,318,857,
499,555,855,938,460,020,142,051,513,245,959,588,517,951,454,349,281,366,795,
485,027,178,445,621,634,597,045,511,670,491,726,559,326,467,786,747,789,950,
072,652,062,355,576,592,881,860,997,078,571,029,381,661,152,132,402,232,226,
128,824,667,216,646,800,694,151,448,816,149,868,988,822,513,988,925,524,181,
264,572,756,799,909,701,439,472,656,109,594,316,421,989,712,108,906,078,767,
619,667,305,276,465,900,309,851,538,237,985,317,805,692,939,719,622,554,649,
980,029,565,573,425,811,459,923,693,672,417,720,693,554,921,250,149,376,038,
494,478,397,706,848,227,614,647,786,045,302,728,590,576,052,006,812,537,369,
135,108,155,900,018,997,034,233,630,631,607,410,118,111,001,871,118,941,345,
458,045,657,693,802,311,952,119,083,761,959,905,629,991,745,240,186,458,843,
608,793,409,073,307,751,635,156,649,648,423,842,616,115,937,256,587,309,186,
399,624,274,080,762,247,139,699,422,576,316,414,072,433,319,365,315,032,927,
733,215,198,137,282,652,030,005,534,711,553,379,343,879,983,863,190,583,106,
401,284,705,509,202,061,776,177,363,223,052,688,068,738,902,064,904,172,946,
686,799,196,581,401,874,554,909,341,636,021,587,200,620,083,567,813,344,222,
802,435,989,214,056,544,852,011,850,270,893,160,381,509,949,184,447,431,065,
239,450,063,674,403,763,770,362,747,013,173,357,130,801,021,794,345,105,885,
514,669,710,232,121,829,114,176,358,448,763,337,463,785,791,584,019,977,485,
854,572,994,038,732,337,901,404,628,328,164,409,042,569,596,999,726,579,114,
582,581,506,148,983,319,011,863,193,001,274,770,063,819,575,228,598,505,457,
594,646,185,812,058,408,771,897,742,842,608,674,319,001,677,804,124,503,021,
221,419,872,662,373,378,039,670,283,469,506,755,736,331,595,060,528,114,114,
596,530,075,624,638,623,890,863,246,063,540,087,942,876,596,319,422,146,983,
037,580,769,342,200,787,658,522,693,756,152,609,795,104,930,621,785,895,325,
962,455,408,468,203,889,557,415,351,426,749,793,679,437,548,247,808,309,390,
423,363,922,328,792,249,707,170,396,825,422,474,599,626,686,045,802,751,419,
525,895,185,414,753,468,292,748,368,085,105,778,068,247,749,156,616,801,400,
069,417,726,578,853,752,855,075,200,860,241,162,324,631,178,253,893,682,321,
901,386,140,581,542,064,965,322,412,789,826,696,109,731,214,070,309,151,689,
415,146,119,221,361,808,119,699,985,782,445,055,760,394,372,279,550,017,873,
527,115,579,501,275,852,042,736,272,213,784,098,595,348,541,237,430,136,400,
154,590,205,645,370,807,962,005,792,467,516,013,454,580,896,139,291,513,187,
789,653,694,268,739,854,732,547,872,146,260,606,353,084,321,101,788,242,455,
714,235,530,745,324,470,380,159,254,692,065,992,720,009,951,861,106,607,647,
878,854,598,451,287,948,593,498,928,068,845,625,249,959,180,820,711,292,133,
088,407,815,114,913,984,706,154,551,943,649,450,387,749,246,390,485,538,114,
376,889,568,718,700,660,550,921,202,871,925,213,930,439,540,621,173,541,105,
861,618,629,215,221,105,522,456,188,000,777,735,734,967,052,330,926,276,245,
310,605,193,683,169,434,659,840,415,269,957,077,436,417,431,487,840,756,431,
124,684,648,473,662,112,432,782,822,567,940,843,933,622,731,428,509,823,263,
174,999,916,800,951,533,387,291,185,705,405,138,624,754,079,995,433,394,928,
316,045,747,126,668,556,917,751,595,013,425,876,923,723,801,028,018,949,779,
794,846,337,781,500,519,296,697,019,337,681,024,112,378,007,428,586,037,376,
980,527,482,959,721,690,220,423,632,327,084,806,734,437,701,323,851,947,577,
610,952,210,253,177,610,058,181,355,373,188,202,385,641,791,025,548,655,229,
118,304,142,718,584,114,104,929,796,368,982,055,202,611,356,452,975,785,681,
072,699,858,889,896,002,620,103,463,135,220,143,833,936,368,780,110,231,705,
010,672,400,041,588,145,650,073,153,908,877,069,736,505,431,573,376,405,937,
050,095,488,677,943,878,217,642,517,277,918,604,023,376,700,491,468,785,987,
815,919,570,219,497,578,453,138,979,197,875,551,020,590,358,256,092,588,155,
116,089,162,593,660,025,860,359,762,648,687,503,379,811,541,789,951,354,365,
043,683,447,487,189,517,651,161,341,246,379,800,165,555,628,596,677,730,531,
626,001,279,965,772,317,874,972,186,853,163,906,831,011,019,341,930,802,274,
013,546,833,566,691,225,693,489,012,072,153,284,069,902,737,342,781,983,463,
583,140,349,844,118,821,361,329,709,826,472,501,256,250,063,222,533,264,411,
334,919,073,068,921,718,959,989,854,075,042,664,793,167,017,563,314,789,333,
280,249,961,939,230,934,736,626,356,765,812,398,490,565,069,686,395,316,551,
835,438,440,201,226,884,948,735,259,552,110,940,740,815,013,086,602,149,625,
245,514,813,218,454,096,926,174,647,023,176,975,277,396,372,744,884,871,635,
592,076,898,310,280,106,134,351,317,707,455,831,205,097,958,884,971,462,351,
193,992,012,865,832,877,022,983,324,993,914,893,056,441,080,644,064,058,862,
491,613,957,713,903,643,009,677,246,556,756,095,756,722,038,507,326,346,820,
296,430,339,886,337,168,329,275,644,785,969,382,718,897,566,645,892,538,017,
901,804,158,604,897,794,880,083,430,749,162,843,862,250,819,140,065,295,963,
774,416,352,333,840,495,309,877,351,705,978,281,233,222,040,353,594,179,512,
607,064,110,102,471,979,218,646,362,871,971,186,422,799,406,582,565,868,237,
872,044,538,987,126,158,955,612,924,592,730,330,161,295,712,786,190,372,738,
687,966,446,947,957,120,537,626,532,174,406,954,806,665,738,717,377,218,665,
902,681,190,509,223,416,092,170,264,876,084,888,671,213,884,463,566,086,127,
865,532,266,986,788,644,601,543,103,862,968,090,117,558,943,057,150,353,588,
224,760,800,521,914,195,262,879,901,690,319,965,784,277,716,700,593,082,980,
877,635,709,462,828,581,929,857,437,836,426,296,247,639,783,379,743,509,357,
873,154,704,907,531,144,312,956,084,263,888,088,720,890,555,489,541,306,676,
765,825,029,367,808,522,759,952,324,544,941,019,991,974,649,053,502,952,697,
010,256,247,494,071,377,785,123,221,074,260,799,364,964,050,626,249,992,166,
800,169,707,570,421,377,445,439,050,170,722,204,566,173,652,149,548,691,159,
732,201,650,963,202,201,936,456,596,930,006,142,977,304,487,052,044,296,525,
202,180,835,693,393,951,047,065,175,499,697,862,809,666,684,064,192,472,439,
340,976,352,004,597,298,073,892,081,803,543,651,082,141,604,077,743,888,262,
862,304,317,345,737,388,908,030,424,893,585,748,726,741,415,895,681,842,321,
078,975,292,105,760,967,654,958,787,853,096,243,264,519,369,607,732,139,722,
037,402,360,647,431,510,153,965,695,156,311,787,866,012,850,489,673,570,539,
109,175,314,541,839,305,388,122,440,697,121,558,551,573,187,540,412,941,143,
921,897,824,792,148,336,638,518,899,719,448,912,727,673,872,226,344,315,287,
472,716,105,588,765,485,583,461,122,103,413,910,370,903,435,727,544,188,055,
934,346,916,304,777,490,647,469,499,696,129,135,228,070,080,871,731,290,030,
485,984,703,746,501,286,349,352,566,577,520,909,860,188,710,601,083,499,606,
292,048,840,183,004,118,481,302,364,746,012,953,410,619,035,210,152,854,876,
428,853,881,623,202,430,037,115,709,749,718,048,007,861,792,104,574,767,136,
551,012,788,625,555,192,990,918,781,799,293,156,777,537,848,916,687,892,998,
257,150,506,667,311,384,699,956,801,271,978,424,620,218,962,919,584,341,848,
379,747,036,682,228,058,511,000,429,806,553,339,653,856,487,442,314,819,721,
153,201,146,893,945,171,887,494,188,097,850,713,530,029,096,871,017,102,124,
238,052,782,586,333,581,506,937,339,347,576,183,497,933,286,366,026,478,643,
432,899,797,722,696,909,829,512,025,430,033,442,213,039,090,042,510,149,035,
247,435,070,631,347,323,503,135,135,520,343,956,530,403,007,611,476,241,678,
271,572,146,736,844,393,846,935,097,375,946,565,637,793,262,938,051,162,930,
547,212,622,677,865,548,955,192,913,598,393,248,619,157,018,639,509,130,154,
873,909,622,161,808,607,482,081,146,939,531,111,006,397,809,643,611,384,411,
138,776,991,483,059,624,144,163,493,005,763,723,885,130,424,626,118,207,629,
631,770,232,217,558,603,205,380,427,875,074,126,265,818,730,876,706,279,505,
915,106,893,255,434,715,556,148,748,045,467,406,389,790,860,038,699,772,852,
968,974,207,232,033,487,065,346,278,996,658,754,041,395,303,368,665,591,912,
276,621,566,233,248,707,741,455,376,146,668,299,081,899,621,111,514,041,477,
119,382,589,494,811,311,915,378,454,287,296,241,106,003,636,989,758,984,770,
775,468,745,345,982,200,562,799,296,588,637,337,433,670,957,656,285,019,510,
775,061,489,209,584,401,310,454,169,042,347,463,477,286,669,671,857,841,215,
992,737,905,448,250,144,237,255,913,164,327,965,433,967,424,605,288,829,321,
035,953,360,577,355,788,847,121,889,547,161,234,052,573,161,731,830,177,949,
764,761,793,848,084,259,757,077,066,955,579,367,340,568,782,149,455,043,819,
630,309,383,674,986,257,756,341,076,625,620,299,207,054,387,445,855,099,635,
839,495,915,794,311,062,078,293,503,034,745,701,792,206,390,902,767,620,434,
585,672,859,222,646,505,914,114,944,128,098,816,039,762,881,848,037,105,983,
002,764,829,386,213,013,788,673,578,578,800,952,653,954,405,148,344,312,035,
761,240,692,598,506,940,095,520,413,595,940,629,190,428,446,228,156,145,970,
198,298,209,277,057,721,824,199,956,695,522,188,220,222,170,212,513,012,690,
823,716,057,820,283,255,022,393,339,434,832,213,631,767,836,786,200,085,591,
245,772,328,864,425,392,478,799,431,257,139,203,385,219,541,870,676,103,387,
057,106,825,868,321,755,206,648,612,034,524,687,107,741,127,628,390,735,769,
689,559,757,703,978,825,886,460,782,515,774,339,712,692,487,203,066,955,052,
935,164,510,616,317,174,740,149,981,971,251,706,262,334,340,057,254,556,799,
714,521,557,127,382,211,753,419,749,251,607,183,093,563,387,794,772,221,940,
052,060,363,446,427,780,126,393,128,614,239,222,365,423,154,631,193,537,431,
228,105,661,089,010,979,954,433,072,961,427,254,129,360,964,036,140,716,408,
600,878,611,697,189,533,378,568,722,002,262,870,945,519,765,550,190,877,943,
912,801,374,720,433,894,273,823,912,591,298,300,390,126,980,589,036,207,386,
542,882,632,086,057,704,833,599,978,772,161,965,947,746,789,494,128,280,827,
042,009,660,281,959,174,134,226,033,783,297,638,149,960,185,005,127,177,296,
450,328,226,758,322,073,833,716,665,970,157,504,775,576,465,076,261,206,550,
425,301,997,536,624,444,123,036,725,350,862,735,365,305,434,467,990,301,416,
856,277,492,266,043,353,468,064,373,988,348,793,581,668,963,261,879,348,801,
637,601,699,288,145,947,710,154,469,014,152,925,946,574,231,624,657,134,536,
650,238,604,270,336,353,040,107,632,456,125,363,909,875,272,826,402,514,920,
418,197,076,125,945,326,672,537,116,105,210,489,757,786,011,505,828,741,806,
002,852,830,877,194,658,363,316,813,421,359,664,306,200,857,623,091,749,360,
883,146,921,604,839,014,039,971,241,172,349,670,009,664,848,010,278,725,899,
114,553,777,803,797,114,553,812,107,033,855,179,592,236,567,842,113,768,463,
155,133,446,061,296,931,541,250,888,771,879,107,316,806,452,520,710,997,136,
875,511,695,900,764,870,405,347,256,107,438,395,173,382,447,316,487,965,574,
885,823,575,981,737,323,879,860,191,071,380,942,894,098,890,333,455,278,241,
003,151,135,758,029,867,212,463,872,308,708,603,830,484,147,746,824,407,084,
183,090,326,404,157,036,058,518,409,599,961,704,415,167,764,752,406,816,564,
016,437,708,987,543,670,013,212,310,769,372,851,947,079,786,544,661,050,313,
121,670,263,684,362,260,928,747,380,268,411,843,113,841,206,072,488,173,314,
142,744,781,333,090,902,176,950,157,229,746,774,367,587,031,795,320,379,880,
317,760,910,529,942,425,339,362,636,549,426,710,416,590,802,742,141,709,619,
062,966,263,946,163,567,395,567,226,929,451,416,639,377,721,478,752,902,104,
604,459,945,905,089,195,943,244,805,363,773,470,260,330,865,899,982,520,458,
343,387,241,468,573,071,109,879,234,419,161,147,982,766,137,524,832,948,072,
637,579,632,001,686,835,247,552,696,205,789,623,106,529,903,330,053,424,806,
542,510,781,627,206,907,185,652,753,558,256,503,619,569,828,446,794,099,881,
475,649,486,537,991,976,391,076,533,885,166,583,116,350,893,795,083,386,297,
683,465,504,538,261,178,730,002,350,511,126,196,885,385,710,130,871,719,770,
171,536,633,284,110,781,909,047,388,096,026,202,595,947,221,156,254,752,356,
899,897,486,316,203,078,554,126,854,316,512,057,695,932,778,818,390,331,788,
803,094,655,208,849,156,343,084,655,035,824,257,378,111,327,658,731,211,148,
550,016,538,002,117,061,126,954,918,266,329,407,824,767,611,278,123,099,353,
995,050,272,350,653,686,284,172,976,299,314,948,001,742,564,706,360,504,594,
424,021,735,438,094,413,182,794,287,368,283,142,216,078,810,926,416,639,872,
684,649,751,499,750,745,193,983,236,835,353,979,401,545,927,469,085,695,690,
631,630,552,453,133,082,700,492,692,144,064,578,445,525,224,120,090,085,481,
168,363,129,529,394,393,720,542,614,742,703,511,197,913,406,289,012,786,448,
509,103,536,861,791,734,134,253,843,715,684,767,799,965,952,895,260,591,673,
960,430,888,120,533,478,376,998,942,724,499,548,493,119,197,867,137,807,778,
130,760,975,224,474,538,446,208,634,687,674,096,707,136,646,235,388,592,857,
760,270,960,727,499,672,516,075,487,813,768,130,257,132,815,392,873,286,323,
661,759,642,627,514,966,081,986,876,897,253,663,407,248,817,033,856,883,175,
299,310,902,107,389,780,039,151,046,021,955,769,405,971,194,620,989,267,859,
079,729,392,251,330,783,218,764,330,907,087,583,269,395,388,943,708,818,088,
348,395,923,594,534,957,540,318,230,596,973,205,820,997,276,551,180,728,722,
626,601,195,941,027,017,574,816,725,252,777,324,494,753,347,234,347,616,029,
817,039,983,534,485,942,836,101,827,646,300,014,748,243,851,883,901,759,645,
166,481,291,841,547,775,524,052,173,806,762,045,925,853,523,565,311,499,189,
049,112,724,516,125,512,007,393,156,842,057,605,901,548,022,035,714,469,574,
502,963,192,496,686,925,471,220,463,819,481,281,584,158,628,876,938,062,106,
531,198,040,646,007,770,356,954,936,708,296,464,832,976,401,642,518,281,541,
830,268,059,112,096,561,245,597,633,068,738,456,949,609,733,006,629,888,646,
527,342,596,415,394,642,042,784,757,586,804,137,480,784,539,937,054,665,401,
111,403,966,266,522,331,390,173,524,599,029,620,664,777,937,914,997,941,945,
390,024,457,810,603,358,242,334,519,238,513,034,079,630,963,958,963,031,412,
100,274,760,047,613,939,763,443,049,452,350,506,410,826,253,037,356,536,337,
959,570,318,901,430,875,286,656,892,697,412,956,315,817,696,785,716,866,122,
891,638,674,944,894,811,213,993,299,293,241,098,483,660,108,731,906,296,179,
775,370,395,603,468,945,190,337,101,501,618,700,307,734,325,857,861,953,198,
596,603,597,931,610,680,556,179,055,362,816,718,371,989,037,159,487,891,120,
739,785,338,877,521,237,876,382,834,032,416,411,377,696,465,747,487,118,611,
572,272,112,962,030,171,749,021,164,526,528,074,007,456,120,984,718,433,959,
667,062,930,979,211,716,798,559,901,755,189,805,141,462,488,376,265,602,235,
056,438,957,505,675,874,315,809,701,063,149,894,382,473,741,706,332,408,856,
592,787,026,368,823,638,153,580,692,417,103,064,108,034,954,118,529,873,973,
518,910,372,734,807,015,624,682,424,245,065,191,461,451,874,991,226,576,203,
008,885,156,925,860,272,034,057,287,097,543,197,315,748,157,674,970,212,259,
160,376,587,794,402,257,310,846,402,241,279,408,966,750,895,439,299,276,715,
066,920,305,094,471,028,874,184,201,648,218,570,666,922,815,439,575,582,360,
865,738,356,194,452,477,148,919,903,064,878,592,817,870,572,254,076,748,620,
522,292,005,030,083,246,330,007,494,195,634,535,080,057,394,300,824,040,432,
369,402,318,741,971,005,448,657,125,216,653,151,981,036,629,065,475,686,962,
816,453,138,653,194,457,299,399,266,580,099,954,760,858,510,766,780,223,176,
130,471,652,253,642,262,789,144,014,831,144,216,780,416,726,387,327,386,937,
611,445,442,150,262,182,876,274,796,377,118,386,170,346,214,639,093,186,119,
560,231,281,573,540,325,093,779,074,075,501,838,907,962,173,683,838,280,274,
826,845,307,297,112,600,014,511,369,563,740,746,845,656,861,146,688,557,908,
348,064,338,919,575,866,174,748,173,855,932,840,784,380,458,682,215,775,259,
733,829,158,075,676,879,763,867,960,000,581,110,875,277,388,310,783,606,698,
510,946,217,569,371,959,395,305,493,466,151,626,923,830,195,471,434,202,699,
768,792,636,910,745,795,218,490,243,091,573,431,102,682,044,301,475,970,361,
184,447,080,191,268,439,837,308,937,505,129,028,579,379,721,209,353,436,349,
629,266,336,523,165,957,783,815,253,944,659,549,811,486,596,432,876,747,434,
492,450,221,394,503,677,258,611,789,459,943,478,495,707,893,983,854,858,104,
918,869,599,121,796,073,655,638,938,941,729,542,343,684,654,232,692,404,627,
569,416,678,707,747,726,532,451,980,542,747,500,243,735,211,390,629,628,725,
788,368,527,370,291,547,680,542,124,706,671,390,925,115,094,650,649,769,448,
943,435,621,890,492,820,740,138,362,633,567,468,721,860,399,159,779,046,047,
597,923,282,157,778,150,926,508,141,312,949,902,703,856,517,608,777,222,724,
304,016,730,505,051,645,941,931,686,325,404,317,387,668,173,835,646,232,354,
571,449,574,928,767,615,774,600,377,870,143,557,614,095,236,115,179,870,955,
730,070,186,676,418,773,858,535,390,974,095,256,632,099,761,458,867,095,630,
765,158,367,839,646,004,127,032,405,341,352,386,871,032,860,009,391,621,367,
532,933,447,241,676,493,794,562,421,243,469,689,123,072,370,893,403,646,254,
948,698,637,808,979,375,081,779,486,317,928,285,532,268,619,541,970,007,669,
209,551,507,514,176,881,566,018,324,843,582,226,760,997,887,237,902,268,545,
325,016,743,592,587,270,811,300,518,457,519,653,698,583,811,755,774,228,566,
245,443,529,759,617,881,664,774,524,694,619,486,210,597,320,918,513,840,587,
455,731,279,565,476,167,792,745,276,061,057,443,676,875,907,186,381,837,377,
439,170,382,385,000,007,929,598,852,582,690,719,145,828,104,186,842,228,199,
719,106,508,888,321,026,082,326,434,058,383,254,169,435,042,332,837,163,693,
578,642,996,509,848,635,027,362,609,269,721,978,077,154,191,793,240,809,456,
235,214,838,510,166,500,107,122,463,633,243,240,689,744,480,905,923,738,697,
355,032,508,572,241,479,465,480,974,696,387,416,877,914,680,272,394,399,627,
818,848,237,668,857,102,575,917,670,740,120,344,140,536,931,023,128,459,916,
002,205,687,659,435,431,046,818,483,098,145,284,924,269,447,608,743,239,843,
657,013,001,479,034,208,327,657,427,910,275,999,193,858,316,461,026,068,845,
632,709,024,788,299,178,161,937,574,297,701,459,316,932,089,783,604,571,371,
598,615,164,988,673,895,697,217,557,952,673,392,573,656,363,515,506,769,975,
222,436,724,001,052,519,353,751,427,388,595,862,389,174,644,319,433,850,440,
311,666,635,446,129,033,479,758,750,295,283,462,410,466,877,787,331,412,299,
519,438,456,474,392,672,756,843,819,432,056,858,441,944,954,483,752,840,798,
704,310,077,898,212,477,816,810,006,857,980,908,892,713,646,038,724,227,894,
915,365,005,929,898,286,529,887,248,141,093,504,974,076,430,441,129,330,952,
007,421,210,126,541,595,949,565,794,455,529,323,668,193,893,247,048,361,968,
979,704,916,585,008,788,898,545,845,612,032,039,644,783,066,649,438,536,773,
535,975,754,522,155,997,606,407,897,087,984,452,065,372,313,822,661,253,211,
743,880,804,508,668,428,342,811,362,840,541,650,138,550,105,361,658,513,168,
206,948,042,846,068,773,331,479,376,886,717,427,886,237,333,460,941,558,198,
942,276,505,088,696,950,700,833,958,284,422,364,855,564,494,722,857,875,991,
661,753,553,331,743,216,310,299,030,083,488,293,000,093,844,509,094,203,532,
533,354,309,812,777,507,329,899,750,374,279,363,414,354,861,210,196,956,957,
750,633,704,294,185,846,311,440,668,751,776,965,061,864,204,295,995,104,318,
864,382,164,559,873,611,092,081,179,657,875,207,880,273,253,230,111,723,378,
815,091,525,583,771,508,907,398,952,332,721,837,906,498,042,214,352,418,195,
782,598,436,269,448,449,711,950,807,939,129,120,703,208,436,508,217,013,316,
265,627,774,046,712,007,918,525,535,426,573,896,129,970,132,200,984,841,468,
366,473,611,512,101,887,772,470,133,821,707,616,912,593,161,904,181,161,226,
776,517,028,346,314,320,601,493,247,828,053,515,851,443,974,860,718,985,824,
251,357,292,262,233,563,562,408,346,411,219,373,700,812,389,956,665,843,120,
317,568,852,880,739,540,599,576,219,423,819,225,362,604,968,100,106,461,301,
528,656,405,041,730,892,258,745,843,452,899,428,568,718,865,569,259,818,239,
542,106,762,123,584,092,976,775,476,860,685,367,741,825,098,759,468,418,301,
899,263,114,170,793,708,944,391,758,489,002,290,680,196,599,633,753,630,565,
358,000,404,679,928,303,017,557,541,192,498,012,398,693,934,616,757,123,277,
418,906,992,561,911,364,246,969,851,725,608,583,510,906,415,517,018,458,668,
707,545,847,542,162,396,998,644,727,743,406,670,658,647,154,566,408,546,520,
708,199,657,534,744,825,989,259,610,930,219,728,889,613,255,327,986,282,239,
023,844,951,622,571,351,312,758,729,877,532,328,596,510,430,674,381,431,599,
392,802,242,581,139,593,055,025,373,332,588,350,157,839,166,679,302,752,332,
228,566,817,234,602,458,271,939,619,778,605,384,376,847,815,167,256,768,852,
079,193,097,735,351,169,059,275,802,131,379,091,991,586,494,334,507,976,986,
218,041,999,544,240,356,544,166,571,994,751,561,572,205,162,343,676,423,432,
591,959,211,090,117,816,413,068,632,741,654,422,587,343,411,022,021,619,340,
914,797,782,152,259,781,505,088,187,817,311,264,656,558,000,616,762,229,343,
051,766,510,726,705,696,115,406,942,347,960,255,144,026,196,296,636,913,672,
489,527,642,532,736,613,010,925,011,125,969,762,616,169,190,765,675,593,414,
470,535,248,993,357,436,118,675,824,670,184,983,204,586,097,037,950,610,774,
894,529,280,268,935,531,436,123,798,286,130,451,634,413,456,850,169,615,029,
582,868,321,617,152,334,233,750,750,488,307,377,023,627,616,730,093,776,899,
542,623,252,638,592,510,665,291,450,349,038,580,695,128,755,628,521,373,655,
711,415,723,881,809,513,177,472,148,181,151,162,238,916,542,708,384,215,153,
315,694,185,849,209,914,435,863,104,665,310,916,472,204,352,301,283,336,503,
356,414,374,695,142,020,216,920,821,363,933,159,076,389,731,047,140,674,118,
559,192,572,324,725,629,429,980,026,351,884,350,244,480,962,069,271,249,603,
251,003,689,426,288,883,572,357,753,897,516,270,097,923,969,313,073,576,033,
035,614,812,194,198,013,981,334,495,893,303,442,820,481,786,542,677,293,852,
005,496,859,368,182,147,597,766,963,865,086,496,655,878,368,454,899,368,666,
933,803,960,601,397,054,782,912,668,224,706,733,988,760,438,919,285,151,483,
273,872,638,581,111,505,272,534,806,207,444,554,508,654,131,131,726,040,877,
696,311,001,025,509,693,418,835,701,083,114,020,326,053,432,209,369,617,815,
906,499,943,887,993,998,001,015,959,220,876,995,094,770,486,376,388,519,866,
570,743,691,546,258,742,918,942,727,047,412,505,192,819,048,133,583,027,790,
425,287,063,631,576,290,853,205,706,424,953,540,919,844,864,245,191,948,883,
783,501,414,053,680,292,554,603,672,536,081,872,059,140,807,709,960,660,214,
856,237,175,358,244,065,630,893,770,328,282,424,037,936,754,314,615,452,256,
722,021,073,372,494,987,174,974,246,568,814,153,984,392,678,456,434,508,747,
075,629,882,876,343,696,982,838,351,092,312,926,445,924,020,865,967,839,419,
472,187,470,245,995,634,679,627,447,234,412,626,101,202,616,380,608,897,605,
396,973,684,780,083,512,036,053,054,273,797,927,846,447,793,300,217,502,033,
838,444,141,362,698,140,894,576,832,747,937,996,421,366,707,443,606,763,309,
623,517,330,340,961,807,201,790,289,801,363,765,408,120,405,651,322,192,664,
994,025,349,137,897,560,281,773,456,101,638,395,379,880,515,669,766,795,556,
500,238,649,172,182,770,232,802,100,477,234,011,509,548,710,268,436,500,411,
703,305,864,149,948,448,559,193,546,689,013,978,097,470,230,011,274,911,517,
947,108,349,257,550,154,623,346,156,039,259,559,991,965,162,103,834,744,453,
062,830,887,087,682,894,629,519,701,784,882,816,600,465,238,706,166,419,572,
696,206,375,224,129,031,775,954,580,955,432,851,187,207,857,328,312,316,531,
256,993,477,303,771,268,640,528,467,299,271,358,067,999,967,553,607,727,058,
257,392,715,248,477,559,537,417,289,631,545,815,330,733,076,471,928,983,743,
091,785,287,789,448,818,468,653,685,649,155,448,060,765,561,612,673,001,984,
848,010,568,322,449,595,248,616,697,617,872,423,932,021,057,609,487,605,398,
618,574,787,340,598,897,913,226,980,051,574,429,893,540,933,929,938,860,768,
700,412,689,691,914,238,723,905,343,559,564,900,889,223,874,827,219,262,779,
355,372,034,707,577,240,392,557,541,300,440,611,762,235,590,079,446,347,254,
160,837,745,598,217,204,834,639,564,559,004,341,899,282,272,095,656,356,640,
223,544,024,836,967,086,934,116,131,660,238,062,494,929,592,940,433,299,723,
587,601,902,489,462,743,425,411,765,582,235,286,891,950,605,926,051,737,518,
463,267,887,375,243,640,846,782,053,523,936,386,070,582,054,209,691,488,007,
880,241,992,914,990,745,731,263,506,688,924,412,492,631,521,303,923,747,977,
595,599,272,601,214,217,369,013,656,259,727,800,770,722,032,694,623,794,908,
570,468,618,470,823,754,134,236,885,182,251,417,903,297,193,019,495,681,069,
149,513,553,657,085,361,285,215,884,324,251,798,187,753,024,404,289,288,844,
690,959,791,147,682,471,019,501,726,566,182,833,722,365,441,399,701,623,520,
031,434,460,057,388,995,937,047,047,103,824,751,601,924,955,249,704,383,213,
632,262,857,053,458,553,394,875,601,536,194,585,315,939,377,398,490,164,925,
468,909,099,898,750,671,808,364,155,203,441,727,292,883,286,145,669,375,534,
271,549,066,641,487,655,747,963,729,034,117,048,507,737,849,888,521,401,867,
918,502,937,875,136,761,165,296,299,985,779,468,796,962,384,122,633,689,488,
804,685,249,153,096,492,407,034,442,493,391,255,159,847,287,483,591,197,794,
139,941,325,287,242,635,149,504,311,886,091,411,266,647,959,962,448,296,555,
643,750,384,141,057,098,363,592,425,377,294,831,805,302,250,841,648,581,728,
547,286,569,194,899,853,187,290,849,037,537,569,648,184,510,563,705,051,943,
639,840,483,063,601,232,236,585,670,908,786,917,067,307,678,926,941,877,299,
372,247,910,282,689,758,629,329,734,224,513,677,175,693,781,839,267,438,443,
014,756,598,383,578,794,898,225,997,068,488,941,067,384,324,533,172,332,862,
274,696,418,054,574,210,809,712,511,680,041,678,898,787,795,721,763,764,815,
569,090,649,435,271,323,944,969,649,012,656,622,085,080,944,045,576,856,264,
435,194,433,986,817,729,850,231,441,814,389,257,714,324,431,555,575,642,568,
079,590,788,154,743,665,189,801,200,971,478,337,906,518,295,114,405,049,993,
556,695,281,233,164,938,563,471,434,315,976,000,079,865,598,556,791,626,633,
527,928,467,869,108,279,247,015,283,966,039,320,991,413,772,855,574,510,762,
760,402,556,058,773,616,514,860,884,612,350,248,957,780,266,166,996,226,329,
761,819,628,208,419,868,593,276,428,715,647,716,232,457,630,375,193,870,570,
196,498,240,065,657,043,559,126,579,082,248,709,697,692,367,688,623,306,474,
934,133,818,059,087,302,490,881,788,886,756,814,530,935,367,564,334,442,385,
347,305,071,965,838,965,516,540,215,888,754,446,824,081,919,391,819,646,739,
721,597,445,746,208,502,623,312,015,444,355,237,816,198,535,940,220,801,415,
190,220,239,714,639,281,809,783,524,743,240,933,262,225,363,967,784,883,435,
306,171,821,249,079,332,036,103,357,382,987,889,860,167,705,672,714,016,896,
570,038,807,491,885,902,931,519,599,929,089,218,021,064,778,960,295,604,876,
396,553,976,152,555,095,423,125,985,002,616,480,066,770,720,747,329,955,067,
691,929,320,755,450,229,833,094,418,116,362,011,524,593,801,718,610,743,387,
109,439,320,111,704,152,776,850,223,565,144,323,145,444,178,978,951,089,114,
748,051,512,660,887,491,338,869,336,191,391,267,454,983,995,302,722,358,557,
849,184,558,459,460,285,133,330,277,846,497,843,246,474,694,946,263,016,706,
523,840,638,743,249,031,720,147,799,926,184,510,179,058,134,348,985,564,610,
162,511,967,407,303,806,286,966,952,541,887,099,045,222,002,751,977,291,723,
585,705,691,441,516,168,385,764,133,508,078,409,829,094,908,423,730,909,509,
767,995,466,859,903,576,759,346,810,825,671,301,630,893,322,996,168,791,779,
738,832,294,824,376,505,595,505,297,720,607,315,934,356,753,359,387,570,900,
992,124,708,098,610,259,034,864,371,423,043,429,270,959,995,593,433,839,496,
439,600,022,964,840,337,460,338,728,527,069,723,925,092,539,122,164,233,682,
992,167,590,428,253,273,537,010,562,345,702,569,909,858,802,305,084,637,074,
723,090,993,557,604,431,766,926,886,749,087,214,524,982,764,061,619,372,189,
684,312,046,647,888,623,140,727,635,259,639,357,254,152,751,556,483,845,654,
157,793,112,153,368,440,065,761,891,617,411,605,142,333,461,956,102,311,915,
681,056,119,347,815,510,730,159,267,640,340,697,439,082,434,960,411,875,976,
603,194,345,402,341,819,581,898,343,774,105,005,533,782,604,130,521,402,861,
441,084,293,999,337,982,702,099,630,410,272,089,867,110,630,852,645,185,951,
736,876,936,582,897,986,796,457,063,583,173,199,532,568,661,116,592,830,709,
309,638,460,910,366,625,436,404,316,902,095,523,795,274,004,210,354,240,449,
006,807,433,617,620,474,126,787,765,752,880,184,040,032,913,246,113,070,750,
219,215,477,499,203,889,395,329,832,013,205,431,836,983,826,460,773,494,907,
803,301,927,814,146,759,111,012,254,523,005,759,063,902,942,210,021,144,680,
494,678,991,962,142,364,267,189,701,958,476,181,067,859,251,104,602,033,212,
246,881,658,569,982,767,651,706,894,185,385,989,776,702,929,384,372,628,438,
718,297,701,893,906,722,515,096,729,396,014,743,036,656,449,623,679,307,166,
498,726,174,589,076,415,405,162,834,826,016,550,874,412,256,835,068,951,325,
376,298,813,776,788,480,384,869,143,703,486,947,219,407,769,391,262,192,947,
932,433,299,704,113,433,363,983,057,520,339,630,248,226,455,973,027,500,309,
407,288,390,342,846,005,078,269,302,898,434,458,515,940,667,956,631,088,208,
446,835,694,701,805,705,710,034,335,516,095,031,157,179,523,128,151,197,728,
701,152,095,130,188,186,619,729,071,368,705,697,358,286,749,306,201,483,838,
796,165,354,680,234,849,855,981,745,410,157,543,078,083,334,169,515,378,059,
012,902,996,833,120,437,302,935,039,528,348,477,868,489,301,427,150,935,731,
621,203,603,713,983,018,110,847,226,859,488,690,114,967,247,645,452,584,276,
757,654,165,196,234,397,597,844,582,838,984,541,058,794,949,823,885,217,251,
735,417,784,027,423,316,392,736,029,790,438,696,542,010,939,673,196,891,753,
291,798,516,465,768,680,373,978,376,663,054,561,472,959,105,737,602,297,317,
398,891,104,353,304,170,538,332,119,345,162,702,688,426,479,465,121,479,270,
152,630,025,150,899,080,456,710,845,678,831,036,320,849,742,594,515,042,683,
703,828,161,574,273,536,706,506,594,583,329,438,674,506,526,235,046,726,716,
255,251,702,807,104,608,232,521,742,042,570,128,926,033,816,861,261,148,704,
175,826,632,383,172,332,533,410,077,386,652,358,061,690,935,548,776,568,712,
322,549,443,614,190,285,413,797,319,718,269,392,120,058,307,575,813,393,421,
006,128,751,999,470,280,100,657,567,387,012,750,571,361,233,591,290,529,106,
888,060,984,137,799,230,017,297,603,617,440,721,315,435,146,717,414,629,299,
834,199,412,790,794,641,669,533,596,895,604,146,512,481,921,350,002,303,038,
809,856,457,280,286,208,334,515,397,661,353,128,848,578,447,214,508,977,983,
152,004,710,037,773,541,896,947,416,167,897,874,934,734,386,054,535,307,524,
652,279,363,825,341,346,043,684,418,229,601,555,755,762,963,264,132,795,204,
628,319,599,235,504,786,417,684,260,293,628,986,990,484,644,098,623,030,418,
150,436,324,210,611,628,768,138,331,250,105,648,905,888,510,742,162,862,795,
196,031,816,091,947,916,854,690,171,763,710,419,721,249,693,859,666,042,503,
807,769,617,920,195,175,716,854,090,844,213,266,772,987,521,949,963,170,739,
642,704,720,615,004,035,368,494,129,557,894,984,242,118,320,163,033,027,077,
641,017,431,845,332,036,398,238,920,072,408,085,859,924,408,914,622,364,802,
039,853,332,831,329,674,857,931,860,810,807,216,161,285,459,148,529,323,272,
464,548,107,141,587,741,959,998,695,909,849,360,170,690,039,635,225,826,943,
730,718,789,214,090,357,830,565,761,520,818,680,559,762,585,210,797,959,689,
311,832,335,009,532,363,387,952,191,623,346,277,238,652,887,884,649,400,014,
534,672,061,498,411,565,723,644,413,056,936,938,163,713,033,140,222,977,004,
785,749,101,766,377,463,020,043,846,286,732,495,986,904,492,449,356,652,341,
551,276,215,517,433,849,204,613,270,643,124,126,416,785,168,246,969,435,375,
374,041,432,637,584,576,032,085,388,548,788,959,371,714,468,070,171,610,362,
553,210,788,843,630,487,137,747,513,291,059,185,829,881,148,769,819,809,276,
475,267,681,497,845,362,353,674,067,002,451,913,327,347,486,122,526,747,234,
409,384,093,550,731,345,851,158,077,044,745,998,903,316,293,759,408,798,816,
842,168,815,410,179,863,230,099,712,727,277,713,809,849,205,486,409,456,331,
257,726,284,217,674,441,662,571,627,370,080,774,896,934,596,308,460,275,547,
985,889,260,401,308,694,163,679,269,210,650,502,999,306,846,149,563,493,673,
784,883,461,138,721,275,709,919,711,435,123,934,407,277,064,492,087,045,025,
917,341,620,429,928,836,429,345,134,352,610,741,688,965,268,926,240,292,980,
226,465,989,020,927,560,032,025,317,295,616,693,703,627,478,885,180,935,366,
042,408,780,680,297,401,066,746,568,309,699,237,982,710,139,940,178,020,376,
205,607,934,767,531,325,292,382,326,987,935,836,349,125,156,116,489,335,046,
592,378,200,674,938,104,151,978,880,870,633,022,357,422,277,755,260,189,295,
337,268,397,435,211,237,516,439,839,704,686,786,877,702,074,848,486,778,851,
701,594,241,207,192,627,050,588,121,817,864,380,177,474,073,714,644,342,853,
771,247,601,129,950,189,353,497,004,431,561,154,920,665,592,031,797,597,944,
698,835,986,963,175,169,313,772,944,068,796,991,702,852,286,981,824,625,898,
580,488,950,401,415,756,564,750,902,750,803,581,221,224,558,146,122,130,121,
088,478,153,327,951,351,303,069,694,698,556,499,085,102,350,068,722,698,791,
841,422,495,329,695,877,902,042,981,584,225,066,882,948,288,587,633,649,382,
012,856,813,973,831,633,014,858,371,769,344,782,519,230,252,527,945,598,911,
384,975,872,769,461,826,598,703,131,430,385,548,947,919,905,642,498,048,680,
489,231,439,851,439,612,749,121,647,505,725,471,689,049,177,459,308,288,094,
540,832,655,492,145,297,492,186,184,812,399,750,300,056,585,554,637,169,745,
390,980,104,055,247,415,979,804,564,805,592,678,977,746,235,069,162,678,188,
261,611,844,626,869,759,964,150,926,806,243,126,463,738,269,785,007,070,544,
663,468,226,447,674,435,313,356,772,978,679,471,259,910,697,808,682,714,651,
938,315,949,422,267,220,350,565,376,154,283,096,710,383,575,391,280,533,085,
712,293,402,673,315,927,996,069,558,534,660,888,288,965,992,472,730,442,882,
581,295,491,541,018,082,853,927,851,815,301,394,209,438,339,700,718,076,152,
510,903,050,549,635,069,775,607,021,516,047,850,570,728,026,384,802,443,877,
757,260,405,397,898,882,995,394,902,885,606,746,070,765,610,632,558,657,040,
117,579,122,326,225,057,853,326,891,872,640,810,027,865,392,118,954,603,695,
284,229,651,759,114,110,453,479,628,742,225,991,046,094,430,371,033,124,459,
831,555,816,122,311,457,085,083,902,428,357,443,342,053,858,326,215,766,673,
782,925,788,695,418,106,452,338,247,538,595,530,710,170,883,004,171,011,259,
792,561,359,878,966,558,392,710,534,392,359,148,876,460,607,044,051,607,191,
819,218,748,169,731,892,808,158,440,428,801,307,283,483,769,011,158,854,574,
898,652,190,942,586,980,817,930,534,108,037,938,329,460,595,452,687,493,042,
631,340,650,994,365,938,064,949,206,592,342,671,144,133,027,645,094,679,862,
621,805,456,645,681,202,379,190,758,760,811,290,732,010,666,998,922,388,012,
524,043,331,673,592,979,052,937,013,551,230,374,867,112,068,164,354,073,433,
593,689,285,729,837,300,112,652,598,004,706,935,164,079,932,477,562,546,069,
177,814,031,070,812,507,070,467,999,721,476,916,195,088,818,357,877,469,960,
945,585,375,999,435,830,837,836,658,348,505,545,716,229,008,149,213,896,461,
812,830,090,808,304,630,105,518,975,932,646,001,738,062,078,746,095,588,871,
412,745,915,686,620,277,990,350,131,955,104,556,964,385,874,129,280,432,943,
702,004,697,323,438,276,322,379,810,108,217,302,180,243,218,579,400,095,471,
301,442,166,092,224,119,557,494,415,389,022,312,321,835,865,911,579,411,930,
124,587,821,842,424,621,576,394,212,090,790,027,038,367,930,787,688,640,973,
073,127,871,261,064,005,006,498,085,944,072,795,927,405,204,631,724,812,477,
105,085,389,369,929,380,011,034,916,349,851,109,541,268,000,720,033,279,501,
725,998,481,455,233,856,427,885,749,835,336,385,387,108,653,031,654,526,227,
903,937,520,670,094,062,764,301,659,380,159,647,082,567,592,111,513,050,744,
344,387,548,809,862,471,534,590,802,870,626,793,951,728,793,434,769,250,185,
777,332,383,851,899,813,181,403,817,852,780,437,792,762,853,122,012,084,088,
181,161,896,016,920,801,907,209,776,306,549,275,091,543,267,893,282,872,130,
068,898,940,760,488,603,689,114,713,703,475,564,749,902,626,552,231,125,997,
322,107,375,601,241,212,141,915,544,857,030,082,544,537,595,555,682,831,758,
144,205,416,412,546,288,064,665,307,295,540,188,195,904,050,689,436,396,454,
874,217,020,493,749,299,431,356,265,107,748,176,096,435,880,705,570,761,904,
087,563,246,755,271,348,691,682,419,467,343,577,687,086,139,683,874,057,493,
268,309,724,072,751,380,576,909,030,349,756,956,872,350,855,754,136,273,630,
715,897,361,934,987,176,251,637,817,545,222,089,421,108,699,243,265,146,108,
186,043,266,755,404,792,426,023,447,091,156,548,727,687,520,441,494,951,002,
047,369,498,687,967,735,344,046,745,373,065,023,105,803,297,967,982,994,963,
443,429,237,525,791,403,814,093,089,237,129,486,468,135,052,549,262,120,738,
522,227,098,002,723,705,756,003,153,289,835,608,730,229,032,881,214,818,883,
630,858,664,912,082,895,074,399,780,260,311,179,540,821,352,416,002,356,962,
726,096,353,835,640,114,709,041,867,961,644,435,827,937,389,044,721,951,927,
380,694,065,873,209,236,325,550,671,828,724,238,500,056,703,018,577,625,587,
811,828,565,890,593,066,263,371,289,185,779,977,426,409,541,372,322,874,638,
872,390,579,022,067,133,579,696,941,409,583,403,739,512,333,535,445,127,149,
296,208,110,902,089,955,958,971,911,985,534,528,958,136,009,952,738,843,208,
496,898,872,723,694,099,224,392,738,620,503,518,744,605,193,388,832,489,478,
864,990,748,566,173,299,920,539,990,680,584,388,529,478,395,402,331,621,195,
918,875,044,610,473,056,003,630,772,007,777,366,283,293,100,219,309,311,292,
320,118,859,062,176,509,427,504,761,910,757,829,131,052,745,002,243,317,932,
308,943,516,268,161,224,974,171,974,503,109,959,613,141,520,119,498,674,588,
202,033,633,608,779,133,917,731,161,446,959,815,370,829,490,419,071,884,834,
791,422,622,698,762,800,348,493,052,803,682,951,461,086,464,449,514,038,128,
185,512,758,707,218,453,434,202,279,600,153,934,137,018,883,724,941,220,160,
671,088,025,771,344,215,021,558,936,215,417,159,974,715,495,198,482,107,712,
870,574,926,850,129,687,569,194,292,669,199,612,272,369,866,414,836,490,163,
916,608,208,855,945,631,359,994,576,367,600,066,007,232,269,497,043,384,859,
197,741,324,470,997,598,942,112,721,426,618,423,905,586,421,999,936,879,791,
252,239,123,392,198,881,697,098,142,010,201,763,137,342,480,173,826,126,176,
017,827,153,343,263,184,948,883,636,881,736,975,489,779,878,076,919,130,162,
854,781,368,093,546,785,789,296,315,538,528,248,306,974,132,346,666,020,859,
100,200,424,995,952,466,671,457,709,325,477,648,083,635,228,597,612,876,997,
708,245,359,118,096,424,215,462,669,128,529,971,067,874,511,243,346,352,211,
369,685,531,243,567,291,408,579,055,201,576,281,526,701,859,781,726,278,501,
484,130,198,285,167,626,581,693,074,443,004,592,786,882,043,274,491,592,921,
697,354,213,641,189,961,564,375,422,164,438,908,447,118,879,205,721,809,900,
399,822,080,536,106,829,986,832,527,329,809,937,353,546,367,260,263,030,567,
780,378,891,702,375,637,916,269,733,469,477,857,034,129,134,826,360,952,302,
909,485,585,391,911,282,313,811,735,203,718,887,476,904,365,289,049,422,785,
583,847,827,770,970,487,373,877,709,489,704,481,371,324,561,020,590,689,308,
764,330,732,351,068,103,023,127,558,120,399,912,243,852,006,869,241,443,254,
463,185,582,607,959,788,885,901,365,952,041,806,494,858,342,388,155,478,273,
071,218,228,546,647,418,502,428,211,128,726,828,545,037,534,556,690,951,577,
956,465,991,152,157,376,352,821,102,013,156,055,350,700,908,775,491,518,188,
255,851,321,941,772,787,515,605,092,144,455,783,397,511,853,301,842,525,474,
388,293,348,347,629,202,585,835,530,619,855,834,145,612,072,981,608,547,684,
364,015,674,531,888,990,195,786,959,594,378,787,532,562,439,581,911,558,664,
284,808,052,536,760,298,315,145,130,503,494,595,067,224,832,785,109,047,403,
897,737,007,266,863,486,932,493,135,546,136,393,287,037,088,742,943,038,674,
494,779,329,082,229,659,847,086,621,640,009,272,500,049,890,430,501,646,228,
349,272,306,340,768,755,968,823,871,796,912,857,458,702,602,307,835,157,954,
224,033,635,755,339,012,580,383,321,824,052,876,307,173,847,415,878,938,118,
869,600,549,502,986,578,974,743,706,707,104,887,786,135,670,856,974,665,741,
127,748,754,124,737,031,969,006,232,551,082,248,950,950,351,283,347,535,137,
556,879,153,325,400,672,839,725,001,755,446,971,676,027,609,724,104,216,889,
135,477,846,966,781,142,339,893,278,485,162,082,202,647,033,207,649,753,750,
112,100,254,638,450,146,616,067,382,830,268,258,182,154,040,581,746,352,799,
905,441,891,418,549,850,756,179,158,304,740,604,796,582,707,718,504,723,679,
368,852,192,014,480,985,316,428,969,200,852,775,682,728,495,943,657,470,175,
714,713,391,845,020,049,525,604,378,521,790,113,894,081,852,346,748,748,709,
166,423,746,859,570,914,124,483,653,134,383,352,587,587,390,786,544,170,885,
881,762,377,558,426,887,412,835,327,459,567,366,734,939,002,700,046,412,179,
894,529,278,287,918,531,098,653,275,470,864,421,650,024,067,938,401,052,602,
680,163,778,577,187,083,802,147,817,739,602,052,670,939,967,034,464,079,284,
884,700,674,310,175,659,813,481,916,264,519,941,225,951,833,071,239,425,973,
543,555,628,646,595,444,370,787,080,836,331,507,680,760,793,632,150,322,728,
766,087,600,957,889,429,268,473,024,919,962,077,983,365,640,717,835,686,980,
801,042,995,138,909,193,062,367,083,409,109,281,515,514,778,739,938,141,067,
456,159,814,669,905,727,456,418,016,565,778,074,362,509,105,513,453,863,100,
389,212,787,061,510,535,705,200,590,910,475,398,140,323,728,811,716,225,107,
274,626,945,768,177,698,408,954,780,655,136,773,526,607,498,257,671,968,288,
159,527,772,065,497,539,807,882,075,407,373,553,326,854,970,984,731,552,757,
673,339,945,730,952,974,835,109,913,891,850,887,289,159,235,465,263,555,556,
711,977,955,407,142,723,723,168,642,810,827,239,017,846,514,313,547,583,871,
481,722,822,155,577,133,390,279,947,490,008,312,075,724,490,310,244,931,760,
800,408,648,949,267,356,244,746,926,856,539,453,490,145,605,121,430,581,851,
452,849,819,898,325,289,168,624,652,058,482,813,838,239,469,430,526,805,045,
011,987,273,984,348,441,254,006,954,944,135,378,225,104,074,086,105,404,351,
010,002,644,070,984,274,033,855,086,560,832,862,567,808,998,663,973,452,274,
380,371,116,197,426,107,082,669,053,083,640,216,536,050,746,422,749,176,147,
351,662,055,269,708,581,153,015,715,805,091,839,430,346,912,187,156,554,791,
067,077,087,162,347,216,933,736,280,655,831,315,177,578,061,960,846,859,513,
608,354,701,213,046,503,732,448,805,603,512,409,405,532,510,878,914,225,689,
646,435,685,233,602,153,609,657,782,065,455,055,038,919,138,187,114,340,316,
186,378,989,368,825,807,143,686,319,663,874,367,979,996,381,700,706,092,508,
755,428,428,980,586,154,389,499,451,449,961,678,379,120,948,147,056,258,657,
576,618,419,955,652,116,977,628,510,427,858,946,618,182,212,479,413,443,971,
645,632,962,402,430,306,449,145,291,152,862,878,792,225,069,871,655,572,270,
133,168,028,540,117,453,874,345,688,878,010,610,348,433,652,460,214,907,924,
800,109,433,428,767,774,830,237,640,798,859,900,921,439,409,730,676,685,818,
700,464,887,903,565,248,882,901,464,623,445,515,803,851,219,701,458,918,087,
750,490,074,826,847,448,743,525,668,978,909,560,195,446,889,972,427,889,850,
569,281,181,196,414,940,610,647,017,849,920,043,639,052,753,179,987,722,643,
648,371,641,503,572,776,894,473,933,149,526,041,806,158,398,707,901,081,163,
480,125,707,657,508,127,823,159,956,783,687,529,300,196,388,833,040,565,646,
224,730,602,546,446,122,869,483,385,712,810,373,551,832,494,793,449,988,879,
918,185,666,500,656,975,632,022,867,791,285,020,330,446,870,631,278,155,591,
816,779,217,735,365,095,360,454,460,641,581,558,048,000,982,218,988,244,414,
430,801,602,164,500,313,190,983,039,818,636,515,153,155,266,147,787,410,312,
252,430,546,944,082,425,712,659,864,120,134,857,148,755,991,549,825,198,697,
876,310,834,829,140,841,540,019,714,204,349,845,297,057,181,959,297,286,570,
856,232,137,292,223,369,473,013,689,294,982,892,636,405,714,092,681,706,872,
756,974,534,753,006,497,466,837,761,275,109,135,549,894,111,594,731,328,834,
960,568,274,288,452,272,009,960,675,510,516,672,261,874,873,201,490,348,008,
822,642,811,656,354,962,916,238,662,672,815,732,244,682,591,278,202,940,710,
109,718,426,411,018,251,154,458,628,453,089,608,823,728,673,922,325,995,539,
559,624,559,890,736,726,831,711,658,972,379,890,749,934,525,859,071,589,888,
620,056,697,248,851,710,567,800,706,402,135,998,662,636,962,826,960,851,411,
545,177,226,219,837,470,529,983,367,242,370,664,647,166,690,980,128,193,688,
079,511,766,103,765,084,046,081,487,437,734,172,221,249,197,071,504,962,845,
025,024,924,429,728,840,052,983,712,495,614,589,921,146,755,212,410,081,716,
259,011,196,518,400,473,510,620,032,777,117,660,421,211,573,783,909,464,128,
296,762,339,877,688,355,981,835,909,239,068,535,948,529,961,214,323,427,819,
247,577,502,097,749,022,876,886,625,165,973,142,001,734,767,215,941,718,405,
295,538,782,133,319,211,951,597,220,525,600,349,461,050,452,277,097,366,027,
560,938,945,379,455,180,594,115,382,800,606,773,998,689,952,502,470,548,719,
800,428,903,112,432,558,632,641,576,280,288,280,100,519,344,633,791,149,691,
524,370,291,174,988,084,872,890,187,487,646,703,366,197,920,657,941,700,445,
841,122,489,690,600,998,644,542,202,379,450,649,616,126,403,045,302,457,915,
958,255,203,007,807,724,748,217,769,565,089,737,234,422,157,575,133,554,548,
292,699,916,790,945,143,969,115,344,259,241,815,478,183,385,342,970,262,502,
854,824,132,109,159,845,796,770,966,534,632,336,496,408,295,767,442,381,729,
601,628,702,114,233,047,128,568,673,129,596,868,470,907,564,520,568,062,218,
474,574,314,032,026,872,472,791,725,998,887,966,661,400,436,405,733,175,904,
203,035,489,192,126,688,035,493,325,536,077,728,159,509,720,388,546,096,382,
422,353,488,536,510,199,829,292,793,931,029,497,833,042,174,099,798,646,108,
144,753,418,081,313,936,827,325,876,541,412,629,208,890,835,281,899,951,938,
281,193,885,814,796,517,959,101,168,006,750,204,878,286,619,534,144,196,186,
470,069,163,496,635,200,533,049,574,506,453,631,213,666,994,888,058,185,412,
704,209,530,385,274,721,057,638,322,019,658,134,987,197,817,834,346,694,059,
126,180,143,320,589,664,171,338,943,872,007,263,760,173,694,634,096,397,271,
483,356,565,496,278,418,102,707,154,120,144,227,026,680,541,982,667,811,848,
096,468,926,431,302,921,734,843,237,755,755,907,797,854,738,614,810,285,729,
733,376,381,014,527,227,097,144,459,510,651,149,729,605,019,848,052,037,459,
803,291,345,774,870,870,428,377,577,036,117,429,767,714,832,507,122,400,542,
194,417,977,558,249,800,916,567,133,706,835,815,241,354,611,755,414,962,138,
452,630,394,686,945,107,798,100,808,506,954,585,443,726,897,081,560,167,968,
883,038,377,789,650,134,851,296,506,103,772,760,651,496,083,242,016,044,982,
698,996,653,610,459,701,895,879,291,013,201,713,364,436,620,423,580,739,543,
784,430,826,298,688,496,627,766,340,729,757,404,300,957,416,131,157,362,547,
703,269,617,748,145,919,727,896,791,598,508,644,827,106,032,965,403,924,337,
464,493,104,464,359,823,105,561,581,564,123,944,328,065,432,721,973,987,744,
963,685,368,051,309,902,367,333,754,234,153,886,149,915,861,877,682,768,450,
253,955,385,214,031,120,244,319,908,720,890,894,600,844,934,963,253,173,214,
085,736,760,257,922,619,019,048,684,731,423,078,717,337,478,067,786,939,572,
141,983,158,722,945,044,009,920,669,942,168,980,939,640,938,054,174,945,478,
494,825,321,567,117,013,975,325,171,986,991,040,970,620,044,081,552,104,683,
689,834,977,600,329,015,288,581,806,057,436,594,401,506,155,680,108,147,748,
554,752,130,619,057,921,790,882,073,632,798,370,034,991,959,883,989,935,284,
608,920,671,195,723,010,129,981,768,675,867,800,306,100,029,079,193,770,381,
943,910,794,456,520,683,961,947,003,767,306,153,458,602,877,405,467,095,276,
325,700,144,458,751,800,888,127,415,340,004,070,797,044,776,340,272,692,538,
381,377,294,181,074,295,739,641,412,497,004,458,588,512,874,402,737,504,523,
903,528,738,327,395,774,427,208,274,552,559,167,988,351,023,544,565,575,435,
370,764,998,534,649,480,984,099,061,439,320,650,511,770,004,071,582,003,526,
584,009,264,887,171,470,949,164,350,952,497,832,851,171,904,176,655,523,404,
320,960,571,385,435,386,432,749,295,747,064,136,311,907,983,739,089,391,812,
024,444,646,646,972,705,007,887,463,858,029,953,773,689,810,595,978,809,382,
241,799,113,879,598,751,512,818,277,507,686,207,305,782,585,705,631,189,234,
482,382,018,340,472,529,106,839,901,387,041,233,409,119,579,316,588,949,573,
413,485,545,402,313,645,790,976,605,603,746,761,364,895,718,277,367,759,984,
049,219,634,744,128,184,524,503,651,541,818,743,639,230,074,157,123,158,763,
340,929,166,181,907,366,826,606,939,210,234,874,286,279,450,961,080,071,330,
238,745,254,778,997,153,155,434,423,349,916,104,171,891,865,631,461,289,096,
575,627,466,508,742,822,899,501,489,091,651,295,662,784,258,305,353,165,008,
373,976,708,662,597,897,608,130,239,428,018,192,009,397,087,282,360,006,080,
046,226,749,257,031,850,285,816,357,977,608,984,872,292,695,984,728,767,287,
367,562,830,628,231,308,280,651,803,952,422,368,622,788,642,296,128,481,994,
544,607,102,015,986,932,004,596,546,336,223,845,282,210,736,490,832,535,522,
462,114,003,576,746,812,009,636,098,706,586,616,390,603,223,052,800,446,598,
961,270,659,804,063,250,664,686,616,112,088,035,470,314,328,654,981,404,814,
961,572,605,825,720,409,515,134,513,009,092,311,640,079,508,492,713,982,232,
018,283,236,728,766,381,765,247,967,843,607,057,553,626,563,565,478,484,431,
975,182,368,785,609,134,504,450,452,313,295,359,542,502,640,692,821,675,610,
286,931,261,413,044,946,092,220,844,228,939,576,756,793,545,130,550,937,258,
827,888,803,473,390,495,146,929,231,555,216,057,009,188,911,458,083,295,027,
542,840,735,020,307,057,987,414,449,346,469,295,873,009,153,108,359,292,591,
737,675,466,856,303,856,270,821,182,255,160,038,920,323,556,979,144,803,634,
002,954,584,363,596,877,988,937,297,988,288,717,184,865,942,327,313,397,493,
359,272,602,257,223,722,698,378,066,564,682,124,242,496,629,992,992,171,438,
666,367,923,592,629,259,462,439,266,405,937,429,326,728,032,936,644,828,615,
058,688,918,953,518,225,651,297,923,630,802,222,391,169,047,984,006,012,827,
793,388,148,125,723,423,314,197,298,964,123,478,285,458,428,334,210,974,298,
664,411,474,527,084,458,281,296,209,815,899,078,752,677,866,710,757,922,356,
219,737,413,317,806,078,536,343,626,970,409,690,310,001,394,933,880,990,899,
185,159,451,306,930,892,455,031,129,040,170,723,399,325,279,928,524,531,633,
526,745,933,928,470,145,804,134,646,609,765,912,472,126,797,456,325,954,073,
752,666,313,632,082,935,294,428,332,741,437,969,897,110,517,881,011,237,980,
243,965,201,972,355,816,346,263,903,376,288,451,288,703,410,923,503,118,561,
898,689,012,782,291,195,834,302,513,667,424,799,876,256,379,965,180,393,309,
095,221,151,749,714,806,115,834,880,611,474,125,036,614,555,633,927,540,105,
642,512,547,933,828,365,789,894,274,044,728,495,442,163,810,843,915,504,975,
551,510,668,974,571,207,300,785,411,449,625,559,430,353,557,372,481,325,938,
536,552,195,381,264,807,415,165,185,147,812,889,753,248,091,852,382,589,040,
813,686,130,412,733,008,755,287,777,914,375,513,197,800,891,878,066,319,619,
686,042,582,103,605,400,177,313,111,864,548,882,002,753,826,310,714,581,926,
851,174,024,187,552,665,246,650,478,114,975,586,110,150,891,111,798,933,969,
324,046,887,272,749,890,623,196,653,613,248,769,661,975,288,595,819,658,504,
040,378,554,321,571,416,257,565,254,041,381,263,214,742,496,484,575,880,643,
553,652,447,590,072,814,208,298,470,969,723,635,463,880,860,363,455,001,897,
197,195,165,414,581,493,639,170,731,467,114,149,968,342,706,028,390,796,750,
883,850,622,771,650,472,842,938,517,932,008,928,586,982,074,045,142,477,462,
620,158,393,464,580,373,275,611,987,315,123,860,080,868,269,883,912,741,502,
091,805,377,364,012,489,454,382,369,946,745,950,653,751,864,496,087,069,608,
647,723,863,323,191,268,241,424,850,124,417,111,126,078,143,218,856,186,405,
467,382,138,078,688,266,649,583,205,063,501,411,679,652,496,962,829,586,433,
741,651,689,653,254,983,074,553,655,556,795,459,106,557,651,831,568,385,624,
569,034,297,895,574,210,979,775,245,862,828,196,497,906,988,301,943,886,024,
941,669,984,531,975,325,726,339,809,311,809,543,428,621,814,231,552,373,246,
613,491,077,371,901,914,283,195,177,502,609,987,043,384,686,526,390,376,570,
625,639,688,505,510,958,533,643,175,663,270,420,232,889,959,651,466,035,326,
887,665,355,726,611,073,087,157,093,831,227,563,551,398,660,695,174,685,631,
245,596,834,182,819,627,577,273,675,569,839,421,973,134,267,611,603,085,420,
308,120,073,871,793,985,742,845,094,425,825,157,749,463,464,838,243,866,754,
311,962,098,845,476,484,223,510,128,809,543,501,462,845,012,066,490,910,964,
229,492,500,689,035,918,043,428,724,528,969,521,606,811,624,464,238,728,645,
114,906,297,990,982,523,924,412,291,640,897,991,503,630,983,696,584,411,625,
354,419,804,385,481,975,457,056,149,089,778,229,263,010,792,363,734,451,694,
791,358,721,987,589,235,390,662,108,683,418,330,002,276,313,648,351,276,772,
751,003,720,462,985,765,256,178,683,999,934,241,613,240,646,471,143,123,772,
282,935,964,719,100,091,100,939,520,978,308,589,966,294,083,120,842,003,866,
445,285,407,288,326,562,195,293,775,796,729,144,971,545,053,976,470,167,910,
186,120,750,229,940,069,635,975,579,588,658,790,705,366,609,941,935,325,872,
521,230,912,686,898,480,292,662,979,514,022,393,500,234,732,898,764,619,325,
935,032,952,078,746,651,881,864,058,278,124,662,626,195,594,471,966,397,637,
327,006,063,836,418,739,205,070,451,491,418,734,542,207,644,021,345,621,645,
719,619,721,662,674,981,451,669,705,430,199,367,320,827,382,824,279,388,699,
804,064,747,013,993,763,701,053,233,161,078,666,120,901,547,246,124,018,097,
326,370,060,753,986,365,316,353,353,044,494,394,344,066,475,144,838,304,173,
487,907,055,431,679,910,087,733,938,673,294,377,582,673,275,930,956,563,116,
145,884,871,974,738,914,289,014,425,234,324,271,443,849,019,944,432,610,813,
491,817,263,901,535,722,488,966,783,750,510,416,132,262,900,573,544,075,588,
964,850,999,384,846,212,057,983,283,490,341,499,920,828,222,654,534,371,534,
610,504,009,417,305,756,469,405,508,525,710,075,408,292,955,298,888,236,165,
526,535,968,443,223,138,596,952,754,958,303,279,931,944,612,993,965,074,511,
272,023,466,994,985,075,605,898,317,264,610,289,612,701,726,296,164,737,957,
506,739,262,910,252,395,023,042,342,349,068,750,850,165,004,372,516,384,526,
070,904,998,893,322,176,097,167,919,405,403,791,824,823,895,646,950,532,340,
252,835,046,262,188,082,492,248,483,426,143,690,486,381,926,808,690,382,190,
119,791,837,044,943,067,322,894,583,769,230,191,572,617,526,416,000,233,100,
322,671,502,982,850,174,467,750,811,216,253,434,637,305,990,711,442,883,669,
889,283,102,667,636,964,507,521,560,458,991,827,320,555,203,383,504,415,562,
730,823,374,938,056,323,402,158,355,940,761,037,800,270,059,730,237,639,281,
376,272,985,519,320,856,344,843,403,471,772,484,026,685,167,940,074,012,643,
848,906,257,360,463,327,688,102,955,205,378,550,207,979,798,474,034,294,862,
388,404,497,802,565,016,867,241,660,485,954,050,284,661,218,502,798,041,921,
385,839,465,108,482,616,776,648,552,837,372,259,163,764,869,414,791,002,580,
761,447,018,612,954,510,972,805,590,714,288,515,634,348,531,553,753,729,551,
413,022,397,784,554,471,907,181,590,425,210,186,086,996,346,604,097,288,064,
157,470,176,798,806,080,826,351,336,940,834,070,280,332,338,365,694,679,325,
336,303,025,345,319,179,129,392,394,965,416,509,112,105,700,539,386,039,233,
248,378,656,109,518,490,084,432,312,892,155,424,587,242,944,162,337,295,121,
261,481,092,355,628,407,109,447,974,972,790,328,618,618,712,318,742,408,497,
240,468,964,610,601,634,482,072,238,779,529,151,975,471,246,236,395,678,225,
221,758,219,130,598,657,374,803,239,024,749,238,970,673,903,583,980,981,605,
812,729,663,912,176,154,202,818,601,022,395,570,615,765,118,765,389,361,168,
398,492,197,004,357,794,032,182,164,378,336,302,082,528,665,646,075,345,094,
659,586,000,930,424,900,962,869,265,460,803,861,602,307,721,511,763,830,701,
586,506,887,119,935,041,436,263,096,473,092,637,499,991,669,017,068,153,129,
366,625,639,870,597,940,404,780,084,455,769,568,501,948,673,504,662,959,232,
321,859,969,265,984,557,633,119,726,445,073,609,259,156,704,749,738,201,498,
327,185,744,954,322,042,417,379,324,670,943,895,231,483,897,962,427,661,246,
812,040,866,951,440,382,962,715,763,609,551,433,506,884,447,514,055,230,501,
167,810,070,149,154,265,751,734,324,525,868,817,026,940,830,091,617,307,451,
879,102,990,444,692,565,935,263,948,587,688,535,454,129,934,490,181,764,686,
413,691,294,778,844,978,094,714,390,340,652,895,619,898,833,900,415,083,370,
897,931,687,066,467,349,835,388,671,439,754,479,458,859,337,031,306,204,500,
824,758,575,000,124,241,243,752,995,245,767,188,439,803,041,134,096,879,464,
988,876,380,770,835,344,983,997,364,226,187,750,222,613,197,121,268,990,991,
144,692,267,000,298,266,153,297,723,532,140,728,739,130,543,305,458,657,828,
373,545,363,182,155,583,970,344,180,792,976,988,453,291,110,897,642,646,924,
839,981,274,892,265,308,239,127,585,669,982,695,732,123,129,267,587,625,378,
239,054,446,395,427,785,663,708,531,178,075,544,863,487,685,870,416,543,016,
595,660,046,011,496,333,898,843,277,046,896,793,321,367,734,720,549,141,315,
357,818,714,015,624,169,568,212,323,000,489,660,850,842,029,158,001,817,575,
493,710,531,280,575,578,938,480,253,482,464,980,625,844,537,581,241,460,243,
328,199,182,556,553,485,982,734,664,277,975,630,977,443,153,388,699,514,786,
804,499,744,902,606,274,340,923,738,898,539,946,822,226,101,956,588,225,763,
718,626,518,442,723,821,135,421,467,046,515,116,506,306,114,287,933,007,752,
722,074,745,947,769,905,489,452,107,347,578,291,092,544,602,384,689,156,785,
252,968,386,140,492,805,466,905,409,451,881,572,348,193,175,206,312,345,842,
652,405,398,400,347,008,247,691,337,111,907,469,995,372,032,800,039,680,814,
506,217,155,167,580,373,820,151,576,623,816,858,714,036,053,263,687,230,845,
474,660,960,348,460,998,274,975,937,688,891,225,272,250,261,808,165,656,237,
282,964,299,026,504,319,680,814,998,091,055,378,433,773,072,089,107,358,809,
311,734,699,536,329,350,050,741,721,018,805,616,208,127,736,968,319,167,940,
777,051,982,348,697,901,593,571,642,594,294,336,216,140,324,150,493,488,533,
259,736,506,665,460,666,041,776,299,508,213,779,283,639,342,112,126,465,336,
546,899,307,751,258,310,290,450,181,479,573,150,654,080,155,879,512,292,728,
438,637,347,889,390,414,252,769,948,353,429,194,387,372,437,357,794,652,114,
206,970,503,020,021,975,354,518,288,296,296,427,222,319,502,364,773,314,216,
760,951,664,044,313,525,371,987,816,240,632,053,445,980,916,510,063,134,693,
555,363,004,046,049,097,059,112,545,134,408,448,577,994,095,035,810,588,415,
017,444,736,686,148,272,046,640,763,393,304,590,396,927,259,263,176,964,667,
474,286,211,479,224,266,961,050,881,147,640,681,613,263,904,417,182,555,461,
749,761,259,460,642,194,127,744,367,880,660,198,428,248,981,644,104,760,591,
669,688,489,061,418,122,977,770,664,585,055,421,681,852,192,022,895,759,484,
565,151,513,526,502,955,390,982,135,607,319,792,176,156,422,410,159,572,365,
800,085,881,782,725,924,429,511,100,503,425,363,978,439,554,911,056,989,451,
819,333,030,465,860,791,775,605,036,010,715,872,011,905,385,495,351,672,795,
242,377,112,868,557,753,574,493,382,951,516,860,371,512,770,288,648,212,649,
492,917,634,918,985,715,031,170,623,212,627,618,052,382,830,782,109,565,897,
605,571,790,326,484,135,132,174,317,374,045,885,002,688,359,238,753,549,614,
097,463,949,591,904,555,175,520,023,095,661,427,626,362,296,396,315,158,978,
498,507,103,235,263,966,146,026,575,195,181,377,050,525,455,167,546,160,900,
806,669,160,957,123,528,920,875,978,182,171,680,922,564,910,145,728,550,654,
282,695,371,519,472,197,587,716,058,556,928,102,185,189,192,304,162,835,099,
003,561,047,534,360,005,152,586,154,194,833,312,670,474,640,518,328,727,377,
431,095,143,620,655,420,604,353,477,708,852,671,000,237,589,098,959,858,188,
260,328,303,526,023,656,806,851,317,453,552,036,098,776,692,555,739,059,431,
808,238,659,486,929,954,124,175,221,587,370,645,163,919,937,319,327,538,557,
201,151,811,481,602,064,605,958,232,498,214,408,054,664,323,164,009,040,980,
678,897,761,633,250,293,540,741,420,099,867,630,083,537,123,990,100,815,046,
337,430,360,774,293,674,747,969,766,002,591,793,495,404,938,686,028,756,823,
629,505,740,600,181,874,295,629,113,000,874,862,659,055,386,725,280,153,042,
548,788,034,814,878,351,077,752,653,065,387,110,827,856,915,622,139,174,884,
347,450,637,662,175,788,529,671,007,305,696,767,234,471,748,489,228,305,364,
813,966,952,164,772,925,747,743,008,808,722,225,332,565,241,329,699,522,047,
402,563,862,913,851,742,257,888,227,835,109,197,156,176,622,418,885,634,995,
644,718,285,854,582,655,898,553,963,146,491,543,580,115,454,137,193,800,310,
062,461,632,059,432,051,171,965,797,902,324,180,770,568,570,449,628,655,983,
318,798,059,387,551,400,134,043,675,384,220,536,404,806,319,192,137,992,051,
491,545,553,296,768,202,864,047,301,127,961,636,812,685,961,484,761,035,883,
215,548,378,046,297,142,741,595,871,486,508,296,973,733,003,230,645,390,420,
049,852,038,598,978,524,137,316,736,791,082,809,643,124,433,800,144,190,864,
390,620,018,234,549,283,624,662,530,294,918,721,025,442,528,106,987,088,433,
639,182,229,142,455,106,441,584,902,009,149,694,505,102,610,676,456,044,811,
686,290,337,527,182,834,506,180,122,010,601,256,671,457,510,243,102,268,933,
687,678,752,448,928,778,662,084,027,286,826,006,353,452,394,614,513,711,066,
121,620,996,768,920,325,736,814,957,936,160,421,329,842,453,238,238,106,625,
028,937,538,110,922,569,723,141,828,978,771,641,611,249,066,479,575,646,631,
422,890,012,363,207,080,060,492,090,272,881,286,411,040,926,201,444,080,611,
926,518,980,967,184,220,525,277,722,198,180,273,705,990,228,098,184,405,049,
183,823,294,074,880,650,121,809,981,930,228,963,410,156,353,609,283,476,518,
243,465,736,455,083,870,508,605,795,130,511,908,152,294,594,574,981,502,896,
104,723,909,203,989,516,563,454,710,953,524,145,173,497,632,860,341,894,884,
658,681,592,451,195,809,808,634,132,625,674,820,994,451,040,970,060,566,580,
937,820,763,117,255,666,211,474,753,587,664,369,955,733,729,519,565,531,530,
906,170,297,256,378,956,406,948,097,411,926,201,033,730,967,865,944,824,540,
277,742,434,159,629,951,642,331,679,148,751,068,294,603,299,608,285,886,790,
092,516,679,908,265,862,826,148,550,700,110,390,812,045,266,480,807,527,303,
209,671,513,655,396,353,160,442,692,402,202,650,331,942,302,344,152,007,071,
164,709,218,620,056,824,579,713,223,977,352,616,759,360,423,136,485,961,349,
290,682,282,857,961,772,217,951,396,508,462,700,722,077,727,689,892,634,823,
049,246,610,369,457,079,673,777,685,763,658,952,011,894,067,717,156,579,911,
561,247,073,660,878,732,100,205,274,123,599,169,848,869,495,578,711,161,694,
271,186,982,738,817,237,609,626,207,217,533,566,381,920,469,801,935,937,450,
670,581,604,714,625,201,057,538,855,198,921,042,113,519,071,252,783,697,989,
808,898,611,855,303,946,415,265,231,194,152,290,575,787,730,469,355,998,894,
381,512,584,972,690,309,193,892,455,969,810,419,231,852,424,760,778,842,322,
157,643,619,728,063,657,220,383,415,297,154,234,020,244,537,334,773,691,251,
568,964,785,632,982,524,861,686,307,047,642,373,606,337,046,546,794,797,684,
788,652,777,062,940,459,419,899,239,864,155,043,564,477,896,319,479,614,620,
364,940,689,184,278,306,017,940,934,963,546,971,852,814,045,800,786,415,916,
012,176,244,274,468,867,503,456,118,798,902,452,436,736,944,851,146,333,461,
549,788,803,785,029,866,586,552,935,364,966,299,819,663,449,986,266,302,225,
241,651,111,430,745,231,461,966,865,719,932,342,499,043,045,544,914,564,052,
057,142,786,434,783,728,468,546,452,109,106,463,362,764,043,909,804,520,931,
990,720,936,902,557,269,314,880,704,866,491,148,663,002,825,348,533,406,546,
674,653,567,194,174,211,298,121,303,899,124,325,736,945,044,997,884,899,699,
126,411,496,054,924,995,178,892,839,767,745,091,811,969,590,539,112,582,663,
854,781,692,815,951,560,841,736,532,677,525,280,879,377,177,116,420,325,040,
621,239,005,648,520,761,469,072,270,680,843,290,960,961,630,657,103,093,920,
782,188,762,215,902,054,802,569,316,295,113,944,084,551,805,712,061,400,264,
684,942,952,393,785,333,676,665,903,347,358,283,516,507,447,530,122,266,296,
201,553,548,072,421,950,641,174,366,829,144,732,618,636,148,962,507,701,472,
807,911,359,779,312,664,875,606,333,361,451,293,123,683,052,766,493,414,529,
996,495,824,272,197,425,503,772,899,836,251,566,356,682,795,018,272,520,145,
874,297,278,612,551,934,533,930,573,693,095,954,626,857,713,235,444,536,316,
881,811,387,393,110,593,427,306,537,614,401,986,421,049,669,644,522,645,050,
045,121,697,479,262,501,807,452,781,086,825,965,021,755,146,558,819,960,145,
535,964,544,458,802,150,725,769,318,416,246,461,642,090,005,581,593,998,567,
808,349,183,313,079,942,459,013,587,927,782,252,507,315,069,142,108,785,225,
307,454,644,745,619,216,253,275,345,826,840,259,107,263,939,284,327,777,880,
773,496,272,649,435,569,334,417,005,083,264,398,155,057,574,889,449,611,320,
159,349,778,456,793,484,157,734,795,517,706,960,322,951,461,164,606,378,735,
434,608,418,389,975,976,252,631,000,290,523,717,706,942,703,736,207,306,669,
023,975,560,853,524,250,094,113,144,864,261,190,640,353,397,591,125,441,686,
510,663,555,295,674,820,001,156,443,731,823,838,496,929,024,974,011,393,421,
064,014,252,661,148,527,329,290,761,361,640,797,665,895,813,237,928,808,590,
872,363,122,944,122,583,884,244,462,828,107,430,129,923,014,150,297,374,980,
629,143,936,527,636,746,951,019,407,982,636,548,388,866,802,260,756,340,947,
274,752,107,051,075,020,346,773,625,414,303,320,422,551,566,677,167,927,516,
623,025,561,198,290,233,549,818,252,716,291,710,202,984,416,292,468,710,630,
141,860,630,011,097,876,913,762,754,068,612,320,907,597,260,291,431,610,810,
530,180,807,536,326,699,476,481,596,115,888,212,873,012,307,806,880,114,688,
125,673,604,963,061,128,892,644,069,940,675,051,471,628,645,683,804,304,328,
807,383,139,635,196,465,733,888,344,696,462,624,810,009,309,280,862,422,182,
901,726,709,688,982,545,242,518,877,548,859,574,966,851,671,843,448,111,272,
556,031,625,866,503,593,735,151,467,173,060,277,397,657,781,524,989,508,565,
528,928,840,312,055,200,779,164,865,513,365,519,428,047,383,563,588,520,550,
692,601,493,740,205,153,231,457,058,423,074,891,930,816,428,373,473,648,520,
308,197,645,081,445,286,928,537,166,722,653,951,242,558,569,625,113,874,170,
197,962,605,584,403,151,343,338,428,318,514,064,266,449,422,191,197,056,372,
119,908,432,867,482,304,789,386,699,036,429,388,308,538,346,900,539,999,766,
120,814,202,789,372,132,252,794,224,689,556,720,861,584,694,361,392,802,597,
248,877,275,427,032,373,955,635,042,557,695,244,431,463,887,362,568,237,915,
368,787,293,107,684,370,922,246,787,946,203,741,771,990,323,725,782,862,723,
458,125,707,197,527,132,486,771,166,272,861,077,340,191,387,825,893,071,244,
509,385,479,759,010,954,986,487,333,573,398,048,071,139,074,732,765,645,266,
370,853,303,146,612,227,279,458,845,890,373,786,245,938,282,029,906,640,631,
533,384,937,495,796,218,341,039,050,954,045,704,114,216,533,952,655,249,186,
738,898,759,280,556,038,459,946,856,685,010,111,748,816,009,819,290,348,201,
461,621,469,367,189,856,936,683,227,075,602,558,021,012,325,417,948,575,331,
043,876,556,226,605,866,565,598,395,541,053,542,528,577,987,875,729,721,596,
046,294,904,297,506,189,446,361,205,668,419,307,427,349,709,692,730,111,727,
161,358,420,855,653,159,800,449,160,356,139,890,760,079,597,725,788,680,493,
558,333,840,351,787,189,018,180,957,157,214,856,280,187,307,785,885,270,495,
060,306,269,153,485,063,377,293,615,494,742,422,277,950,476,591,000,887,669,
764,142,692,969,513,118,309,228,832,246,402,919,694,920,583,026,868,573,825,
164,005,626,571,571,596,234,152,563,598,895,232,146,592,737,070,647,125,129,
873,605,618,549,024,522,214,587,047,902,612,736,200,846,214,710,978,502,411,
469,568,940,043,815,793,344,238,853,426,944,546,462,119,317,878,197,781,881,
150,839,248,827,803,345,524,532,710,238,221,272,914,329,524,318,795,379,273,
056,705,141,044,253,287,243,170,541,286,867,494,435,748,105,512,609,563,730,
293,702,019,598,541,970,098,647,069,125,231,139,143,322,333,680,074,839,589,
981,606,465,196,277,196,894,988,617,337,339,855,321,197,477,137,923,678,513,
688,442,938,189,965,270,297,486,922,588,603,535,768,711,382,907,110,918,618,
857,235,460,001,384,050,475,748,162,382,727,577,688,441,343,058,870,802,179,
349,726,726,217,430,806,119,110,872,115,639,445,041,733,735,948,588,737,090,
090,134,681,354,333,150,504,462,675,025,150,105,274,763,619,418,820,222,998,
324,980,291,848,387,817,476,146,113,927,117,232,820,911,999,571,976,327,994,
391,808,145,279,691,130,347,239,456,579,806,168,550,771,165,917,742,696,753,
322,461,916,493,984,069,365,475,341,722,642,175,562,889,019,058,876,445,288,
645,042,157,075,351,387,927,169,901,640,362,532,638,420,863,689,958,430,593,
151,026,800,096,377,646,735,402,791,404,017,281,815,366,434,161,529,256,564,
954,469,784,204,227,988,847,577,563,455,560,709,285,408,106,657,256,208,265,
373,362,326,040,401,463,831,818,587,873,150,847,476,469,135,023,691,345,604,
164,887,214,707,972,098,711,646,332,725,897,916,778,562,446,973,785,508,783,
000,358,549,428,191,891,507,891,379,367,314,065,125,719,729,838,998,418,990,
792,188,421,082,180,635,831,516,399,017,041,401,344,128,409,213,076,273,365,
685,253,680,804,263,369,010,967,441,579,569,012,683,940,387,095,291,622,315,
187,341,824,581,828,351,881,140,477,349,176,160,072,268,778,215,417,761,933,
168,974,160,436,593,875,712,430,769,046,264,481,732,267,061,108,797,688,395,
889,696,652,687,817,391,160,225,988,925,916,100,506,497,348,656,662,682,190,
145,667,743,191,244,165,165,558,758,221,605,753,853,882,036,211,679,795,652,
883,735,241,654,785,948,090,096,941,621,059,592,009,729,411,131,793,135,745,
910,233,595,198,587,885,973,865,271,911,160,195,701,521,269,829,351,557,346,
363,933,330,670,877,811,626,775,357,972,476,936,588,238,323,120,528,763,342,
403,572,042,304,982,443,697,064,312,938,527,459,730,925,486,326,937,402,366,
770,730,970,728,060,495,464,955,826,984,584,102,417,400,747,769,752,192,090,
495,113,772,289,285,695,821,932,796,222,468,210,431,048,567,534,754,771,155,
234,212,172,148,856,033,314,986,657,036,289,944,213,510,814,951,191,653,332,
141,575,301,386,128,494,792,863,002,354,911,945,098,852,816,527,015,900,230,
282,481,673,236,579,577,939,777,699,912,291,224,261,971,745,756,900,686,334,
597,118,425,174,134,776,755,375,552,240,767,489,743,032,060,050,539,978,923,
299,009,933,301,178,487,307,450,877,537,513,146,170,767,833,353,751,034,586,
745,745,696,894,319,589,679,017,701,135,881,251,399,516,543,508,053,132,316,
337,255,539,513,463,233,461,077,834,597,845,796,852,147,874,391,483,090,490,
420,402,892,661,529,452,614,491,909,709,248,511,947,310,327,948,453,773,762,
455,140,200,407,066,868,898,115,711,247,456,965,646,018,596,644,331,507,296,
566,061,979,351,878,666,284,537,986,274,635,482,860,466,070,680,272,103,978,
604,929,936,918,013,775,485,754,037,314,065,395,357,393,448,666,954,539,853,
963,038,169,873,627,103,627,179,628,604,376,618,682,447,288,432,465,561,593,
174,853,415,240,863,429,568,589,854,543,167,690,930,126,659,668,488,009,899,
747,237,359,349,763,288,592,019,027,695,011,313,312,620,715,284,196,926,139,
764,820,388,824,834,317,515,570,821,977,936,025,475,057,095,953,223,623,012,
138,190,275,963,172,907,379,154,079,051,531,729,972,193,622,673,876,842,764,
530,486,828,955,676,766,456,011,167,838,963,013,253,081,293,495,480,354,225,
922,656,343,871,014,350,476,748,563,274,859,093,676,793,850,405,575,476,618,
315,046,895,051,639,524,830,497,113,638,029,685,113,376,222,292,342,838,461,
562,964,952,410,044,585,152,428,863,657,831,855,248,068,785,597,026,350,921,
384,360,540,377,222,673,935,587,072,979,306,104,554,077,154,244,408,284,017,
077,531,219,740,761,707,965,105,488,654,806,970,226,825,289,839,537,175,660,
284,455,258,651,204,968,995,180,027,281,948,787,831,256,496,685,757,669,549,
922,530,811,932,943,583,137,766,572,137,612,075,410,821,252,064,507,355,218,
968,009,982,474,283,795,886,608,278,672,723,146,103,572,263,648,010,985,729,
794,205,258,719,249,575,343,518,821,656,209,167,874,841,829,786,814,078,312,
861,007,738,698,738,747,816,577,186,154,506,655,193,432,064,508,814,023,329,
082,520,663,085,605,792,152,775,261,028,543,762,256,629,682,124,288,114,589,
103,163,079,822,041,404,555,548,607,789,425,612,265,139,756,469,981,898,747,
551,521,856,438,218,186,478,984,390,503,238,379,177,003,218,550,374,826,595,
536,195,791,032,067,240,455,445,093,123,886,674,273,562,034,121,636,343,312,
308,800,094,983,840,521,241,600,199,638,460,436,565,073,028,420,499,641,815,
641,975,736,031,455,357,709,434,980,469,551,061,842,937,616,934,406,994,087,
826,765,871,017,729,538,868,276,726,480,989,901,311,665,748,320,402,621,043,
523,977,503,218,400,869,035,741,139,319,805,072,264,029,436,821,018,031,573,
040,091,047,636,974,101,439,460,617,266,473,944,105,921,660,861,453,501,037,
258,866,133,717,906,660,835,298,079,509,364,191,663,386,616,145,115,308,393,
181,202,645,318,523,761,420,937,915,064,487,732,605,340,057,648,147,343,277,
168,769,083,976,631,977,673,223,878,410,856,302,706,127,260,364,871,629,600,
102,536,104,276,044,185,327,679,227,380,514,638,347,084,553,651,404,630,900,
724,233,262,925,805,642,646,524,249,603,136,604,859,415,573,482,634,066,308,
953,807,809,595,974,530,084,857,037,014,173,744,099,266,730,490,176,329,855,
859,892,130,996,231,597,181,987,270,057,902,117,965,343,677,968,895,573,530,
017,270,899,755,605,775,869,697,396,719,766,029,561,416,205,557,315,603,809,
000,347,841,380,237,729,805,077,288,134,031,873,627,953,996,750,044,887,299,
357,225,375,533,365,466,796,110,350,193,726,280,156,377,694,092,091,301,954,
190,519,156,745,368,367,562,668,792,619,614,218,583,373,882,066,847,451,157,
916,274,213,302,675,785,467,327,260,575,184,964,478,125,928,425,585,050,913,
909,840,238,443,011,548,694,503,044,611,268,355,424,154,635,751,662,984,320,
372,571,201,229,770,127,455,462,175,853,568,543,394,653,691,477,894,567,927,
218,527,729,479,397,473,120,161,412,717,221,097,206,309,137,212,163,008,545,
716,338,049,846,457,095,286,806,522,250,350,513,819,086,444,302,053,767,563,
898,368,017,000,047,950,750,831,510,407,533,849,554,969,227,569,708,124,595,
017,789,761,594,234,871,628,313,527,873,600,987,681,626,955,064,720,377,036,
908,321,572,046,804,942,581,261,727,115,517,050,909,805,859,981,187,720,010,
328,355,783,773,180,470,207,620,128,247,517,696,489,417,901,207,744,437,777,
758,984,769,740,188,699,858,104,984,840,419,540,364,141,096,185,791,363,744,
456,721,312,410,746,158,727,488,180,008,363,129,349,776,454,577,846,648,720,
250,445,185,057,947,628,087,291,589,069,515,139,896,778,669,498,237,294,177,
223,855,060,883,958,555,762,424,279,808,299,987,801,169,771,142,491,556,861,
060,964,700,635,660,410,256,020,160,843,905,011,466,852,253,160,640,441,152,
313,853,456,550,621,118,106,776,442,543,718,140,805,600,559,443,212,841,159,
791,280,084,967,294,714,343,166,875,905,107,945,690,790,849,233,211,499,229,
504,066,714,700,362,753,605,306,374,332,445,681,331,954,158,932,006,608,126,
521,261,673,638,538,438,151,269,409,589,093,462,186,413,973,824,443,021,997,
470,869,352,580,372,159,219,853,737,731,236,104,723,427,001,651,324,932,524,
614,343,331,024,612,961,517,705,357,540,626,644,660,965,140,321,729,796,711,
788,426,923,252,208,147,937,322,754,519,979,596,134,682,465,209,969,669,993,
634,404,044,929,614,793,040,674,553,998,994,569,103,103,250,395,280,531,601,
301,866,911,327,159,613,531,442,342,267,881,782,410,446,165,504,259,545,698,
180,384,612,221,847,122,724,667,510,638,779,512,666,690,677,122,864,237,598,
575,355,144,990,721,276,417,682,935,823,395,958,583,379,828,601,617,596,777,
155,202,777,976,016,355,077,569,528,649,984,869,719,922,315,227,140,750,913,
706,973,195,198,863,779,861,560,272,141,231,360,953,258,377,589,201,648,216,
274,234,451,851,811,933,746,939,504,723,327,410,669,808,351,361,677,239,804,
462,993,389,293,001,397,290,635,522,027,033,671,563,003,803,555,942,271,480,
111,865,606,170,958,367,805,947,787,410,103,980,645,192,838,191,955,302,819,
516,752,146,280,378,059,198,658,603,672,498,691,925,627,077,553,365,246,581,
845,268,859,694,410,902,981,499,088,962,537,158,101,063,025,425,503,361,976,
611,589,884,837,453,612,538,474,956,987,506,451,546,967,021,831,904,462,608,
866,992,500,726,308,645,344,892,141,647,163,834,493,195,868,997,335,859,497,
794,024,822,820,776,110,133,981,395,525,953,462,219,550,983,172,273,035,510,
625,773,482,641,121,666,420,265,656,952,565,932,081,866,260,025,433,379,527,
984,300,468,921,391,041,024,000,620,349,443,373,971,778,414,587,857,385,556,
000,394,135,013,694,939,143,843,748,814,539,193,036,730,925,984,234,924,615,
509,060,630,449,672,147,761,260,075,272,627,911,563,381,481,393,256,454,496,
309,706,899,639,409,859,026,889,551,288,693,647,585,963,619,341,243,722,088,
769,590,862,162,300,876,218,938,215,505,473,903,590,470,721,187,190,143,101,
595,638,898,362,001,173,747,555,480,563,379,517,212,039,414,308,340,760,507,
413,340,529,903,269,672,461,493,422,215,358,091,077,012,984,968,471,290,651,
979,980,307,008,236,298,175,208,130,504,006,617,416,443,948,224,586,491,558,
038,468,687,906,311,746,898,461,838,579,566,403,326,577,483,676,428,888,477,
564,253,409,624,380,503,405,798,991,583,520,419,611,144,075,262,898,598,650,
194,760,902,282,494,959,634,274,892,633,469,965,415,309,195,471,321,998,364,
413,315,688,935,075,155,677,547,976,574,693,674,731,325,804,613,914,340,486,
171,891,304,139,356,537,079,341,242,950,851,223,738,546,975,551,279,866,333,
079,587,996,747,623,411,806,631,949,041,247,934,870,064,743,064,498,306,499,
769,521,429,214,834,130,959,698,357,852,855,700,015,534,045,703,402,148,998,
660,667,456,284,420,855,316,276,709,179,524,774,088,483,248,658,332,152,928,
351,112,246,590,452,190,066,008,589,080,928,030,169,644,495,760,354,460,266,
055,692,553,557,573,294,615,259,866,352,863,481,218,739,715,595,667,413,697,
266,246,711,307,243,418,191,239,459,711,349,494,555,136,979,188,174,386,760,
697,887,176,884,403,083,711,767,728,553,229,151,916,769,563,859,559,982,383,
933,114,311,371,971,137,100,618,270,040,004,293,611,197,112,597,969,730,241,
047,767,482,043,654,925,220,491,584,215,166,269,344,308,206,348,664,459,688,
095,801,890,800,153,434,207,651,089,882,127,110,977,589,277,712,741,648,631,
090,374,552,393,650,586,637,472,439,171,611,910,946,828,267,848,974,347,691,
182,806,317,003,237,083,433,656,382,811,319,695,240,337,685,647,283,593,729,
641,800,282,179,258,940,070,676,031,323,676,607,748,298,625,881,108,734,263,
743,511,778,680,416,008,309,303,533,187,972,442,676,955,872,586,561,050,440,
037,931,735,075,457,899,816,267,222,831,397,244,519,512,269,510,441,733,286,
005,643,391,580,411,332,457,529,088,323,762,935,807,065,875,487,106,966,200,
693,631,512,266,649,870,033,467,890,009,347,193,559,458,511,546,543,934,354,
081,925,128,760,718,172,082,996,351,878,630,419,866,232,392,319,144,238,904,
511,149,117,313,167,932,380,403,027,333,536,639,961,974,802,638,849,780,523,
971,130,432,202,986,473,618,955,098,753,602,079,973,435,460,939,583,664,899,
381,742,193,589,888,938,615,593,317,935,896,381,892,733,266,132,843,956,895,
169,535,650,073,883,784,032,389,757,854,413,604,643,123,152,964,022,675,055,
883,300,023,990,816,750,520,615,611,934,125,485,177,324,599,953,388,445,195,
791,667,140,722,542,883,898,653,748,187,936,843,769,243,908,930,049,382,256,
460,858,857,591,756,880,885,248,674,851,791,997,641,239,685,037,730,396,456,
558,967,988,442,659,082,376,175,978,628,541,310,342,132,646,812,024,788,982,
858,212,571,889,496,014,824,238,862,150,598,059,432,963,734,581,056,803,231,
769,598,887,326,359,472,310,867,839,518,693,524,929,574,899,813,030,086,098,
324,708,513,453,586,895,842,873,660,383,521,746,930,247,161,893,874,273,154,
093,931,686,332,236,167,280,147,429,378,696,424,734,071,288,139,379,684,450,
457,565,452,779,636,915,373,449,019,937,793,405,068,721,676,373,107,059,345,
131,905,321,187,024,635,290,516,282,567,696,033,656,284,359,728,048,605,342,
869,760,173,095,518,011,529,544,386,357,802,676,606,799,142,509,717,536,839,
730,718,602,613,779,423,839,594,882,435,089,259,932,883,102,553,577,842,840,
549,537,620,364,016,224,697,241,309,885,993,281,680,723,437,349,757,560,373,
714,455,765,979,342,273,472,358,265,606,838,360,393,381,876,922,049,870,932,
644,200,490,227,395,159,630,511,058,755,894,719,111,765,557,171,354,706,206,
892,534,662,068,300,669,339,666,191,251,098,488,684,969,039,539,727,201,978,
196,181,496,386,646,195,899,529,503,228,311,589,832,859,377,065,864,304,767,
261,973,500,255,747,297,239,141,557,390,029,737,881,655,682,260,344,067,253,
393,703,391,541,373,808,205,524,253,648,125,321,653,302,770,224,326,705,208,
900,970,600,350,907,791,195,484,333,327,622,891,247,066,119,647,612,002,946,
918,030,257,478,598,540,351,631,820,742,981,466,968,028,309,130,381,907,425,
479,451,029,391,171,577,116,107,948,085,245,865,365,427,236,347,113,688,371,
585,989,076,418,588,312,879,013,929,877,393,583,381,165,111,718,233,184,450,
051,283,894,133,414,663,561,745,541,162,553,044,449,947,341,731,851,781,143,
911,826,736,319,503,055,741,439,854,540,227,527,367,377,334,659,011,600,359,
397,645,150,438,780,808,472,294,766,934,499,304,964,384,564,163,186,075,519,
556,704,041,614,244,053,264,014,116,590,891,413,146,744,300,630,038,273,825,
358,257,409,131,315,847,325,291,696,667,057,105,957,462,292,218,965,230,128,
113,596,466,944,166,281,207,288,212,109,812,509,505,353,313,066,938,512,635,
475,694,358,367,393,794,704,742,145,354,217,151,510,393,144,347,495,545,558,
815,187,478,792,605,627,383,980,515,952,808,665,186,176,672,971,195,895,059,
276,929,608,840,433,106,953,796,857,625,957,381,593,959,992,660,760,432,433,
859,610,018,291,529,539,060,352,482,218,158,643,141,645,382,394,311,862,929,
139,546,176,426,135,737,613,855,608,939,167,948,761,611,215,994,646,652,738,
852,642,154,843,340,982,563,885,544,430,910,021,597,669,528,719,806,098,054,
731,041,474,900,757,714,943,662,355,178,711,636,018,421,196,060,602,588,732,
884,193,557,031,412,302,670,296,649,718,087,050,041,843,924,624,050,803,113,
395,504,266,121,237,308,357,275,571,936,803,798,268,878,323,906,417,349,549,
867,740,914,325,868,583,805,911,462,424,732,101,756,781,545,012,684,419,685,
690,928,088,615,734,479,013,824,192,556,426,693,516,930,733,160,017,937,899,
234,369,442,132,304,393,125,714,380,814,686,309,909,113,569,349,562,439,027,
639,749,898,323,705,582,643,273,907,932,538,200,383,756,381,791,659,567,052,
625,411,652,181,405,087,765,780,253,252,790,023,527,927,712,000,054,761,582,
773,506,820,397,396,742,384,642,841,181,408,756,453,689,780,611,852,239,516,
287,069,416,251,905,765,108,148,345,857,927,643,237,442,031,064,490,340,889,
730,918,919,981,674,193,437,104,781,457,488,568,669,788,159,802,385,631,781,
995,728,780,667,134,669,998,587,068,246,210,721,983,952,797,720,792,275,273,
746,124,310,489,938,666,814,230,094,755,189,024,073,362,189,869,955,191,906,
062,556,256,728,148,750,340,731,837,100,712,114,080,630,916,563,932,647,635,
349,598,468,184,658,946,334,482,950,907,721,800,202,852,065,451,324,905,412,
624,876,062,660,174,795,041,850,055,626,458,819,351,233,354,118,719,945,227,
243,172,732,642,091,171,095,267,180,958,837,469,308,965,691,740,057,151,452,
513,025,560,173,192,387,921,877,357,375,992,696,333,920,362,261,161,592,974,
091,999,553,424,767,579,321,856,542,547,810,283,976,253,465,153,602,349,484,
487,364,436,589,718,190,313,883,388,099,677,310,862,801,775,786,050,949,302,
616,153,639,337,850,933,720,919,281,580,501,004,066,483,074,024,418,223,633,
190,984,259,925,377,487,096,560,956,706,607,746,746,504,624,136,835,060,891,
132,469,758,661,929,794,988,355,938,083,379,948,279,987,278,386,254,338,840,
488,540,142,018,731,256,141,170,844,684,118,488,149,389,190,049,292,072,642,
930,662,992,891,556,463,442,708,371,210,213,334,417,429,247,522,701,641,961,
784,355,320,011,018,916,962,854,642,014,074,362,927,015,353,471,016,412,860,
653,179,793,765,303,398,603,530,288,160,578,025,551,005,731,914,560,085,771,
302,271,730,290,758,087,921,075,625,128,027,882,261,303,415,777,147,888,739,
920,953,766,490,691,516,843,795,946,593,943,940,391,738,110,706,487,391,202,
415,616,131,430,158,610,475,324,676,553,933,872,050,134,088,413,712,449,617,
186,882,656,739,621,799,743,433,791,242,370,240,899,680,181,868,094,321,560,
807,108,512,170,878,599,523,147,382,517,152,206,767,887,105,921,763,170,637,
803,283,232,643,762,193,926,333,454,122,307,239,293,490,526,241,891,958,278,
383,720,472,217,569,215,613,793,079,206,289,280,376,712,401,706,128,577,768,
506,146,831,629,384,961,222,123,757,775,327,812,135,277,073,751,865,360,956,
640,266,355,815,596,212,055,287,925,822,312,706,307,672,480,522,077,134,924,
790,396,438,833,215,545,512,801,451,934,190,343,567,697,228,164,184,603,821,
379,984,722,607,691,141,895,302,164,388,312,577,061,458,642,560,239,609,623,
898,041,218,547,231,623,844,484,394,222,488,691,138,860,222,605,015,946,990,
846,171,690,369,643,331,598,492,288,845,912,695,332,779,197,654,702,728,689,
083,859,150,764,213,859,863,526,613,750,594,494,523,273,811,204,868,021,393,
249,060,326,419,624,178,111,009,693,183,510,057,838,733,769,726,955,085,132,
922,652,356,364,649,699,597,525,577,143,312,216,369,572,393,394,102,889,583,
652,564,671,074,464,450,086,532,501,555,268,737,000,107,361,190,545,828,222,
457,672,674,697,241,717,816,924,021,928,850,377,772,615,047,823,136,158,186,
164,748,043,595,223,021,167,279,359,570,754,803,115,410,245,992,514,228,411,
570,886,564,941,797,766,158,558,335,288,228,605,029,702,040,322,053,177,473,
585,868,126,555,449,499,952,103,354,800,060,666,907,349,927,965,898,844,257,
462,511,615,945,571,490,785,673,911,055,298,335,930,707,785,812,534,705,669,
785,058,344,921,361,390,095,463,990,804,112,660,446,015,790,583,604,715,841,
484,181,573,216,999,928,442,612,927,295,294,189,559,644,992,857,019,413,092,
799,995,894,522,490,553,688,424,097,109,013,500,376,710,261,596,371,138,558,
423,356,526,149,963,023,929,186,870,694,698,809,906,059,982,846,483,064,252,
108,101,861,050,977,009,330,580,816,532,613,430,548,971,008,609,000,998,461,
274,186,269,306,163,201,444,849,220,141,243,084,542,180,939,071,361,507,699,
576,146,416,090,826,409,733,901,926,653,094,983,622,289,866,628,375,507,812,
429,889,058,519,300,542,516,592,202,998,587,820,161,802,709,858,603,448,439,
656,995,546,435,074,747,639,873,680,934,971,687,865,338,590,130,110,823,331,
710,388,777,969,175,121,581,912,988,840,982,367,373,975,799,688,768,787,680,
653,037,427,713,844,540,798,264,518,836,295,030,307,075,899,898,395,793,499,
969,336,307,039,972,963,213,294,066,631,104,418,783,157,078,007,324,493,339,
671,090,210,083,796,534,806,353,837,846,787,706,824,286,678,591,840,409,741,
869,024,582,343,131,106,562,739,747,454,616,447,842,458,455,335,648,884,670,
440,928,502,725,452,203,922,330,122,661,074,305,553,981,874,811,560,058,354,
398,082,429,706,727,870,025,955,491,264,986,524,677,373,952,204,732,445,693,
828,667,464,758,921,188,019,794,329,323,378,661,797,260,554,961,049,466,836,
088,056,962,365,438,861,077,701,010,740,485,275,817,412,965,396,912,297,184,
202,002,603,618,858,513,417,393,513,310,039,373,026,637,882,409,006,259,360,
381,973,281,516,570,100,649,030,292,462,770,917,947,452,077,331,598,291,154,
165,404,553,412,764,412,765,983,045,412,795,844,797,510,628,695,244,179,856,
371,631,628,228,471,253,396,936,476,013,918,234,434,387,166,377,878,563,075,
923,260,261,426,306,372,978,670,619,732,650,030,979,527,555,676,409,557,339,
405,025,113,514,534,519,948,765,196,915,451,680,306,779,767,436,252,869,073,
811,350,225,344,105,225,212,040,582,554,451,978,778,369,661,139,342,516,571,
956,281,712,707,503,815,744,780,984,036,229,163,521,161,678,309,236,007,026,
374,815,269,795,980,178,938,686,565,137,447,825,861,097,879,000,624,331,633,
995,067,694,968,743,803,448,148,759,138,738,898,377,068,581,535,804,166,893,
029,433,188,110,707,712,591,385,657,340,484,956,712,401,134,290,747,280,801,
796,257,263,138,752,960,682,530,552,664,122,843,317,931,794,011,274,299,205,
556,780,468,145,274,353,036,667,344,125,239,599,742,224,826,787,171,052,889,
558,826,812,562,014,250,528,287,231,684,155,289,978,943,212,680,714,083,525,
197,845,233,263,562,764,348,870,938,534,158,805,019,683,293,365,214,415,878,
453,617,644,204,775,171,839,987,111,430,634,834,116,085,845,156,191,758,505,
347,876,180,539,901,717,435,966,281,477,329,477,436,779,129,706,808,228,910,
319,089,501,350,519,971,924,366,638,788,899,315,369,025,538,701,392,504,339,
837,468,140,502,181,680,336,526,483,755,297,938,169,684,537,091,355,368,396,
226,056,124,568,414,615,094,913,321,508,761,044,704,757,578,605,496,199,104,
850,033,648,587,731,209,235,032,569,907,833,164,218,577,569,977,637,796,931,
177,356,864,485,210,569,351,955,087,914,545,350,385,530,967,450,701,845,875,
458,354,891,173,165,416,669,117,631,880,938,131,449,958,797,763,712,760,715,
678,433,423,544,740,867,868,269,028,083,571,028,147,764,898,515,356,475,108,
359,799,153,339,088,086,493,263,065,372,182,551,999,862,543,990,688,868,518,
306,463,420,673,035,838,033,986,129,561,215,553,447,868,222,037,618,822,314,
036,258,623,605,055,301,334,881,868,878,592,741,238,872,002,593,098,623,046,
803,306,635,908,929,434,320,850,101,870,802,608,180,284,208,868,751,410,644,
182,574,884,895,657,679,631,259,584,915,232,510,182,518,478,580,315,238,961,
536,749,415,447,697,763,064,156,253,289,713,570,924,390,814,351,958,114,708,
349,182,892,987,924,900,078,077,326,468,990,375,132,717,871,173,458,631,892,
978,849,630,342,468,952,349,017,231,761,772,707,868,614,991,379,915,128,380,
752,623,879,980,582,603,681,577,942,734,961,937,924,505,728,028,673,316,566,
676,001,052,835,125,582,148,746,515,139,248,491,098,095,329,090,633,366,512,
074,272,065,183,631,110,291,444,452,420,188,371,430,182,711,148,410,648,035,
146,693,772,483,000,828,847,089,014,816,291,611,446,296,061,069,556,563,140,
939,451,943,013,817,346,765,523,654,553,119,084,530,622,887,557,208,118,118,
439,068,121,919,624,897,981,516,641,137,747,288,690,459,524,934,774,409,486,
796,774,951,329,799,207,052,092,284,013,916,498,507,567,322,350,786,491,727,
109,147,704,220,546,856,802,901,931,997,324,867,515,419,759,708,513,081,496,
456,088,453,003,240,512,389,485,428,959,598,005,906,602,826,111,270,691,967,
020,678,766,775,220,981,206,644,760,593,493,530,830,978,070,912,803,236,339,
068,318,085,693,776,021,451,342,902,560,379,991,476,995,376,097,512,046,423,
670,837,600,601,720,420,273,574,624,217,664,553,650,771,215,173,097,622,308,
373,914,863,782,573,285,941,255,335,287,062,185,190,517,279,138,594,187,356,
536,321,556,340,721,225,487,851,791,698,194,731,258,013,033,578,709,847,078,
732,169,125,220,459,995,763,161,113,651,442,582,195,576,210,438,557,741,163,
969,266,961,673,968,292,468,165,056,001,050,463,523,662,190,977,030,658,793,
643,134,753,052,171,034,899,001,986,411,670,746,188,109,545,619,938,678,165,
796,766,132,256,656,679,387,566,045,530,926,509,003,920,598,823,269,496,780,
284,762,284,364,784,586,515,978,183,544,081,420,177,447,640,848,662,533,187,
405,628,212,354,570,458,891,819,445,781,321,046,590,756,674,585,186,039,799,
551,791,794,587,176,838,701,806,533,124,239,831,768,574,749,565,622,500,702,
536,834,201,060,746,687,386,808,702,115,398,108,565,971,592,024,002,183,541,
945,779,985,806,347,610,195,629,346,944,583,410,595,957,793,497,230,776,961,
829,781,462,733,195,409,983,354,044,600,623,185,652,026,281,501,757,287,513,
923,980,780,493,160,707,761,440,828,882,043,544,597,088,930,472,589,058,192,
843,971,118,032,082,678,821,212,678,328,352,424,667,479,898,324,856,578,404,
267,241,972,601,962,036,117,888,741,380,807,209,309,747,364,848,824,926,994,
354,361,452,682,794,332,243,893,652,106,157,734,389,289,026,018,515,565,592,
066,770,668,349,462,621,791,445,038,267,934,499,076,271,699,300,181,160,404,
449,131,153,883,517,406,087,623,430,394,868,563,522,714,487,943,014,856,882,
761,038,093,084,232,650,735,142,045,572,082,074,683,059,132,535,255,781,434,
833,591,560,983,697,599,602,566,014,123,414,773,404,308,046,830,805,760,436,
420,422,336,099,066,150,902,311,951,628,936,033,207,192,303,954,904,459,033,
547,893,518,947,907,982,723,786,432,135,455,464,061,304,036,606,397,885,797,
550,830,625,165,084,429,844,679,585,927,797,997,956,382,964,685,947,142,814,
047,873,583,834,714,625,781,490,475,397,457,834,372,611,739,179,148,300,432,
469,775,027,546,769,641,005,873,141,525,312,431,033,685,864,391,764,262,822,
445,440,895,281,001,794,171,797,368,865,045,643,166,053,024,120,348,019,037,
616,674,860,315,616,417,229,375,254,987,740,155,561,104,291,499,250,528,028,
744,608,338,980,572,178,211,402,002,646,694,338,793,768,918,262,489,786,247,
867,727,605,466,653,271,618,098,725,476,546,258,015,737,714,768,662,808,498,
380,877,548,134,212,940,835,580,516,290,610,901,982,055,454,264,057,756,877,
259,841,663,855,390,337,122,087,609,585,088,124,963,301,862,989,349,475,725,
171,183,949,135,836,902,506,262,261,673,789,640,020,899,371,538,489,497,968,
850,612,956,586,379,649,666,510,369,657,762,731,548,058,033,060,713,396,580,
997,258,795,607,089,867,828,949,997,401,436,498,280,732,737,052,705,866,767,
305,336,994,488,685,161,718,025,321,941,746,192,698,945,911,881,827,175,808,
834,122,976,052,308,598,666,283,551,199,938,120,376,585,641,240,965,725,453,
218,083,697,036,121,867,340,563,000,908,896,303,119,260,406,961,811,375,544,
843,321,898,766,738,460,192,058,503,622,548,820,940,526,670,246,385,201,940,
935,893,176,390,194,697,779,230,400,757,478,330,767,798,185,035,958,678,424,
294,943,137,690,483,317,864,652,216,091,844,513,884,582,653,482,377,108,356,
792,131,640,975,383,716,564,589,280,751,640,008,128,908,740,875,379,474,844,
377,751,814,061,384,634,083,413,803,430,849,314,139,727,877,951,243,490,953,
177,313,522,961,937,200,828,450,691,726,012,308,504,220,537,723,534,557,499,
498,882,503,167,247,471,701,974,119,737,741,251,534,550,190,462,663,764,671,
858,162,946,903,006,503,205,118,079,182,616,121,294,698,733,695,455,942,132,
611,199,370,603,969,816,372,168,207,086,223,290,180,494,480,574,016,995,788,
767,190,988,027,265,522,410,139,478,753,627,878,971,619,197,590,634,761,707,
677,465,333,637,381,724,004,160,714,289,720,319,177,828,339,669,151,938,768,
720,626,229,975,036,247,902,399,934,046,862,785,335,930,383,793,600,019,259,
258,970,129,265,121,544,217,641,582,215,129,711,993,402,173,273,092,631,896,
011,740,913,317,365,531,400,722,223,373,333,150,682,540,182,351,877,673,750,
619,178,380,038,111,158,401,973,634,542,231,008,502,534,048,534,302,871,169,
463,258,773,763,821,056,835,618,380,013,488,144,627,334,594,076,800,353,331,
645,463,392,875,499,663,400,155,862,325,991,099,295,641,819,531,889,662,225,
214,115,473,886,554,622,819,299,428,096,370,866,504,051,365,271,048,222,420,
901,731,392,099,896,782,465,622,696,351,679,525,634,839,129,795,750,593,332,
263,793,972,567,982,190,719,967,643,148,130,919,091,839,575,483,165,847,475,
670,636,913,700,540,801,568,535,116,764,625,323,393,059,116,153,746,271,080,
516,036,611,172,957,961,623,320,761,467,714,907,108,953,341,455,747,619,157,
308,216,552,160,119,507,736,459,519,550,916,799,683,919,654,398,379,402,402,
951,132,558,736,687,771,423,096,264,322,915,234,262,964,814,568,535,132,035,
339,534,172,057,947,649,393,512,252,869,063,509,719,508,782,840,893,749,901,
080,614,357,983,899,420,818,830,265,264,669,967,695,604,266,962,092,509,889,
752,891,557,407,772,471,075,528,032,295,643,909,485,477,334,046,614,347,747,
847,750,124,669,524,696,313,327,706,080,842,680,449,475,894,989,954,555,379,
986,213,170,639,971,443,917,168,515,097,811,491,232,737,054,429,072,006,700,
365,643,736,422,887,271,469,369,639,060,432,969,046,126,625,393,813,287,635,
411,265,766,281,097,350,921,324,594,254,220,341,216,454,608,475,096,495,258,
674,036,901,099,621,563,188,615,484,008,801,831,463,023,965,761,755,268,016,
438,804,642,300,267,202,988,052,743,754,888,095,426,905,738,228,629,932,558,
274,917,776,568,073,764,155,644,418,350,969,594,313,782,470,091,049,514,278,
605,018,626,595,127,980,299,058,028,853,586,217,385,148,716,004,117,369,578,
971,994,882,397,309,872,607,136,944,762,700,285,421,344,922,229,950,491,228,
088,192,008,857,973,887,540,030,852,716,635,809,898,344,430,942,768,316,445,
033,428,012,065,136,030,606,240,399,757,091,926,277,531,102,629,023,897,675,
646,857,773,070,286,398,437,567,013,948,520,577,399,779,439,266,676,889,214,
084,132,196,234,622,642,824,498,040,791,687,222,462,975,300,385,921,515,416,
163,040,971,355,280,537,160,074,818,280,141,967,999,174,569,096,361,873,655,
068,807,527,534,194,226,683,091,517,848,917,076,350,258,523,804,676,137,596,
377,933,736,122,573,354,857,908,478,220,875,551,931,277,997,028,606,165,848,
192,470,066,333,732,793,996,405,006,760,230,177,651,283,594,305,277,073,377,
764,459,443,786,531,692,671,803,675,588,818,187,047,885,978,568,360,594,101,
559,175,681,754,261,815,159,425,856,515,622,286,039,789,506,184,772,316,926,
404,447,992,072,087,105,790,362,538,355,327,687,835,683,409,912,028,173,294,
880,478,068,249,837,899,432,809,192,530,295,413,767,106,775,829,081,105,800,
911,075,804,967,476,518,618,163,440,036,603,890,817,890,251,052,381,295,227,
601,804,620,900,894,254,210,228,726,477,245,331,102,711,265,140,911,153,945,
129,660,205,018,523,216,859,800,425,515,505,607,694,251,914,019,031,149,074,
591,785,363,668,453,809,177,926,745,658,176,147,796,789,845,316,233,608,842,
088,336,087,341,274,844,225,071,972,932,382,812,861,377,368,180,736,897,123,
568,673,007,357,903,108,574,051,493,446,250,559,116,240,881,034,051,653,369,
439,872,346,050,680,010,200,176,299,699,492,969,118,696,295,862,095,180,417,
175,339,241,349,320,642,846,026,374,787,396,039,840,378,792,482,489,317,262,
523,744,225,981,821,302,404,164,414,020,735,390,260,239,207,686,458,434,367,
456,441,158,750,372,069,972,542,103,874,526,397,939,287,537,605,513,907,109,
454,150,142,204,494,061,819,565,567,274,830,024,608,635,358,818,396,372,567,
175,616,635,965,271,458,857,915,165,173,468,584,688,109,135,863,124,976,175,
592,671,786,706,120,931,370,619,804,776,817,430,488,984,829,130,906,610,719,
342,926,439,398,216,013,358,613,484,053,704,330,061,733,522,726,417,020,353,
639,953,604,692,388,525,746,951,039,222,819,006,408,371,963,364,123,108,174,
163,281,125,780,737,122,941,101,786,487,074,935,058,883,866,194,014,466,568,
269,804,192,509,076,333,062,519,295,644,539,896,917,650,617,749,249,033,570,
925,217,976,340,222,287,144,980,464,241,847,787,056,746,725,670,312,535,663,
752,330,276,292,835,048,041,155,192,696,249,192,594,891,764,712,859,528,169,
188,451,551,967,065,393,252,396,399,173,626,701,474,384,933,322,588,155,036,
278,009,022,011,463,963,065,785,598,571,544,097,867,349,128,680,383,203,310,
607,685,135,251,759,758,605,609,672,437,001,455,889,889,756,462,988,923,856,
776,902,861,914,888,349,806,997,793,883,113,517,495,829,203,054,534,216,902,
574,588,129,138,808,490,014,969,282,103,824,679,855,244,384,102,532,335,366,
885,684,672,470,112,637,993,065,578,414,439,222,032,306,246,078,459,886,322,
160,484,608,569,202,927,213,926,260,730,921,686,130,461,031,653,285,117,168,
589,858,967,465,076,118,265,832,582,290,553,109,380,898,359,257,309,689,795,
417,276,560,919,972,733,220,107,529,561,148,256,591,489,838,726,055,439,518,
916,690,455,615,503,849,961,778,279,835,813,413,011,590,951,715,250,567,837,
216,368,322,243,983,285,149,231,806,518,746,461,391,674,747,468,962,685,325,
452,257,843,745,921,848,884,043,253,681,195,963,097,437,798,101,064,728,825,
106,435,697,272,922,495,468,721,085,116,433,400,637,240,566,910,045,041,313,
859,857,863,506,116,742,190,811,477,067,608,082,718,470,258,962,832,796,881,
289,713,327,553,288,156,192,335,680,805,303,677,246,211,981,514,430,452,339,
438,759,522,442,181,932,965,749,010,799,895,433,789,532,004,468,360,279,775,
790,347,335,538,372,887,613,264,209,510,888,582,217,443,465,756,096,143,417,
950,854,861,986,436,256,348,487,654,336,974,481,072,333,963,692,721,161,469,
698,458,064,301,371,838,760,826,719,911,498,688,603,721,585,961,464,102,753,
580,725,768,270,079,472,905,704,071,099,439,274,280,958,931,221,896,865,666,
984,195,575,794,339,570,933,446,852,152,705,303,993,014,572,471,951,934,237,
618,188,136,834,041,040,189,817,045,891,634,729,110,193,143,022,776,115,228,
397,592,770,031,280,175,292,886,966,245,339,725,756,219,429,557,051,461,694,
647,468,135,049,909,491,118,173,971,648,402,049,254,468,998,768,423,120,859,
371,009,953,408,094,626,992,045,424,190,240,483,994,655,872,785,631,687,491,
488,742,662,199,166,564,423,732,029,752,221,063,268,902,132,014,220,176,962,
347,571,204,331,861,457,677,710,125,779,571,895,096,827,828,702,409,761,455,
871,582,574,574,586,505,310,357,222,907,820,920,178,109,234,600,647,674,356,
449,847,459,228,671,849,393,123,794,056,226,497,220,354,990,300,706,824,672,
962,475,522,049,026,552,946,800,190,649,659,773,325,578,304,384,120,813,000,
014,190,642,291,063,838,789,908,324,308,924,873,502,463,471,169,899,737,267,
925,568,918,354,807,045,709,545,658,392,587,732,471,366,573,109,104,606,200,
137,316,247,266,703,734,051,858,075,798,386,669,323,087,956,682,751,409,041,
970,829,181,848,890,961,331,157,931,983,937,125,124,143,555,972,509,625,057,
496,778,717,151,004,724,878,620,107,306,813,079,707,193,186,104,895,402,325,
590,947,332,877,565,577,739,126,180,040,996,255,579,152,562,797,387,159,468,
824,529,412,696,301,629,407,667,375,194,785,317,691,944,386,489,980,123,362,
687,049,094,360,211,770,597,921,058,171,758,304,465,401,547,090,353,574,394,
797,364,929,053,523,571,604,825,260,553,404,160,955,002,901,327,734,294,826,
775,962,468,237,391,159,272,903,735,557,717,455,519,723,383,965,741,716,807,
375,189,632,956,675,645,658,535,250,671,988,526,896,009,772,264,274,704,442,
376,075,349,715,623,218,746,013,007,983,520,942,166,991,465,992,283,182,599,
534,176,728,430,411,481,531,312,118,257,853,860,905,210,624,177,300,079,935,
083,797,497,722,627,201,807,201,598,515,547,481,012,945,661,354,474,504,939,
458,201,343,563,921,755,763,841,755,149,346,954,002,263,871,456,320,371,515,
170,090,966,860,145,253,131,697,857,801,395,594,203,523,832,480,126,879,203,
651,906,882,338,015,774,746,780,909,865,568,106,049,482,491,169,399,809,818,
145,939,270,079,071,326,028,347,522,263,443,713,396,534,303,540,623,999,193,
828,325,864,369,684,305,099,189,691,469,826,146,518,446,922,541,700,237,283,
652,915,334,963,507,181,552,540,569,025,612,281,010,467,889,202,934,102,454,
897,275,854,279,874,187,161,614,698,822,534,052,111,701,317,948,633,349,941,
429,875,079,831,702,554,881,519,773,228,873,529,836,237,461,600,695,857,393,
160,988,339,918,083,376,069,145,067,479,838,937,506,383,957,814,967,752,991,
413,323,041,585,272,155,748,488,451,307,982,286,093,419,062,241,277,916,019,
615,294,876,551,535,175,183,344,259,069,661,101,867,650,117,351,535,476,060,
529,099,398,923,173,169,237,278,604,536,165,578,389,100,900,068,322,681,719,
737,351,087,087,723,274,865,993,385,801,034,869,289,813,591,465,193,851,634,
489,782,316,510,003,450,902,605,751,931,110,921,025,385,310,291,723,633,844,
830,312,685,372,448,842,299,486,330,537,122,970,286,631,924,927,065,777,531,
573,534,552,588,251,420,767,989,898,808,846,092,277,651,808,178,725,179,422,
607,189,712,511,926,194,611,048,754,811,122,709,104,473,783,221,659,825,997,
021,209,907,514,658,816,643,391,930,094,586,607,782,279,256,315,984,976,582,
736,971,284,527,422,102,422,703,423,129,071,603,333,625,550,187,907,558,513,
523,818,374,763,364,528,533,976,147,848,030,195,356,361,116,013,465,156,990,
381,291,269,248,779,662,283,344,822,113,571,215,586,077,920,956,541,056,499,
613,039,768,250,485,361,080,278,681,651,698,523,770,480,763,380,521,353,383,
095,442,013,454,591,081,932,570,788,500,621,492,932,425,479,760,196,694,795,
061,295,858,083,688,395,154,774,419,276,749,637,491,153,755,311,289,680,151,
314,512,588,007,133,502,666,172,576,732,013,044,858,466,771,839,644,631,319,
509,967,810,322,338,671,120,029,172,752,540,923,754,518,172,870,125,784,097,
321,344,038,181,547,298,874,595,606,936,043,562,647,891,181,222,298,480,521,
175,071,742,539,144,442,516,507,078,894,548,280,616,265,254,477,649,995,069,
322,060,216,016,428,858,071,126,208,107,941,280,852,398,858,940,758,985,849,
804,588,807,883,862,962,338,784,001,909,094,841,374,099,443,251,849,209,965,
041,305,059,005,656,622,829,365,340,419,302,985,954,974,357,322,018,749,276,
424,795,875,047,961,197,064,535,403,706,527,648,828,507,875,202,607,172,127,
549,848,295,120,181,695,201,101,774,538,638,855,184,092,108,112,489,256,921,
401,565,546,810,984,141,721,923,546,323,721,101,254,134,841,849,319,364,090,
930,218,514,596,546,943,246,752,027,733,021,865,846,052,428,100,986,695,382,
131,966,044,299,469,539,756,368,655,747,753,419,944,276,138,656,614,044,879,
280,435,892,389,269,855,620,805,626,864,018,070,583,852,678,442,109,629,528,
239,636,739,963,197,078,532,602,801,310,141,621,520,834,159,203,044,787,688,
209,353,756,467,294,339,146,573,992,074,596,848,965,255,704,663,528,046,215,
083,546,823,404,873,617,988,499,275,496,678,874,144,219,225,655,404,295,770,
602,893,603,548,548,945,917,596,038,915,961,964,673,957,610,091,110,865,214,
736,062,676,380,023,727,217,794,498,693,214,356,160,179,244,190,039,958,182,
068,765,577,863,431,107,421,607,642,495,163,269,720,919,136,825,485,196,092,
841,678,808,982,911,067,620,346,205,242,752,953,796,579,844,604,007,072,751,
152,719,662,929,301,155,749,749,572,480,008,444,919,012,922,185,746,617,602,
401,585,174,273,981,971,632,991,488,777,041,413,015,988,525,027,140,745,357,
181,345,900,162,551,779,703,569,527,082,537,786,940,267,559,474,752,095,465,
608,751,276,478,522,831,366,785,088,479,351,019,871,666,278,234,152,425,948,
535,561,216,940,350,473,043,976,976,142,913,303,755,375,218,097,865,001,009,
467,864,756,549,421,453,628,232,576,691,779,744,594,383,229,835,524,620,388,
526,775,988,694,895,423,144,154,516,543,793,280,098,978,804,079,517,860,534,
186,019,779,745,209,182,053,832,525,052,336,569,257,872,712,374,923,235,739,
894,434,719,871,877,502,926,158,931,222,513,544,063,082,522,461,013,067,768,
810,992,225,315,526,751,762,656,057,793,743,971,816,177,590,002,012,738,640,
937,047,184,519,566,520,373,994,795,911,714,258,720,674,280,514,735,494,957,
216,152,667,189,695,859,644,393,146,892,962,888,916,035,433,981,229,702,827,
373,524,136,140,837,493,624,559,533,207,277,684,922,295,091,127,035,540,561,
226,368,732,138,001,344,484,754,452,691,639,147,708,926,611,630,610,254,191,
308,592,853,618,707,132,723,232,385,843,262,870,201,843,246,342,784,417,287,
079,628,845,281,900,704,410,647,702,298,627,757,122,888,803,575,772,281,551,
011,790,921,681,378,004,182,393,326,851,700,000,082,646,821,744,055,527,709,
065,405,581,436,864,433,919,589,805,547,726,836,285,629,091,514,872,754,885,
734,551,766,619,539,696,150,339,232,470,818,782,271,713,265,762,614,735,863,
690,295,088,147,847,134,106,166,844,834,249,692,439,714,666,776,419,001,886,
664,811,344,212,289,828,054,853,381,603,642,648,901,397,200,993,443,262,727,
853,303,758,231,372,651,161,844,757,287,140,528,434,158,830,430,742,102,369,
024,284,053,009,404,392,110,325,541,674,666,491,244,477,060,962,757,436,679,
942,680,986,604,029,281,968,777,708,160,740,447,368,105,148,395,238,198,119,
333,083,476,680,976,553,389,194,529,228,534,934,720,065,269,871,550,777,003,
979,658,575,171,287,064,481,922,519,801,635,800,224,863,349,356,123,992,320,
292,936,475,291,402,394,495,609,335,821,404,336,109,284,479,613,846,577,679,
040,973,053,064,680,352,295,147,607,122,082,295,759,284,587,494,572,914,360,
247,887,756,779,525,213,060,358,371,539,373,229,582,581,001,791,779,386,258,
713,956,454,991,130,423,244,763,666,586,434,833,630,074,070,520,443,832,354,
861,601,448,786,234,839,241,721,486,389,534,746,635,118,707,921,279,932,762,
896,280,714,441,980,625,686,509,472,775,369,620,184,148,504,277,902,828,823,
871,727,209,545,349,808,284,207,247,531,691,348,940,399,785,882,390,558,772,
506,375,402,435,762,203,992,543,839,194,305,557,439,397,927,845,722,719,844,
154,952,616,761,273,298,334,326,176,248,645,802,691,298,141,777,621,720,284,
508,491,864,747,045,347,092,019,880,231,333,592,939,586,456,191,299,173,009,
553,204,444,891,030,410,422,804,956,789,250,735,520,870,010,834,616,440,733,
094,834,074,110,257,917,590,002,889,815,664,727,441,216,443,881,481,218,016,
496,851,344,355,919,842,335,555,175,564,835,153,600,756,096,641,820,795,696,
025,509,510,557,765,490,009,618,520,447,272,937,266,765,177,980,212,265,546,
943,281,877,266,439,101,114,796,848,579,286,917,650,643,783,050,162,643,540,
453,533,413,832,664,878,581,703,546,262,946,238,606,770,603,846,430,037,131,
715,919,958,259,483,463,277,550,102,696,182,291,667,437,450,926,433,333,122,
165,057,387,997,050,759,129,296,360,386,640,476,644,198,917,741,906,818,044,
591,152,118,601,659,453,092,834,730,088,215,027,087,978,685,197,219,288,027,
299,894,917,955,266,482,831,797,555,666,695,683,105,417,989,254,208,558,384,
782,235,581,158,579,942,694,876,607,118,858,115,687,838,990,481,001,296,567,
908,013,514,353,821,717,975,606,721,536,085,137,218,262,211,970,870,535,669,
006,334,176,392,561,475,784,445,126,066,812,300,593,470,869,991,535,758,855,
204,283,687,372,583,138,733,489,733,249,710,198,942,463,128,861,115,938,174,
951,959,998,878,806,523,531,361,070,316,077,490,168,479,949,956,840,553,181,
820,214,201,789,314,424,024,681,086,400,617,392,955,983,964,868,523,403,225,
106,267,408,669,567,565,457,595,220,582,392,605,156,409,248,583,146,863,053,
919,841,089,962,137,623,725,905,766,985,663,874,162,050,013,314,077,219,130,
443,319,289,934,361,268,512,925,926,152,444,743,604,352,661,273,002,437,908,
862,740,701,769,755,939,553,182,304,765,359,128,643,203,752,253,256,830,503,
152,932,696,756,633,051,283,977,086,725,515,999,532,940,372,452,623,883,458,
278,735,453,622,632,873,529,748,738,441,471,647,508,964,114,525,085,598,213,
981,265,585,951,808,293,212,880,779,155,540,682,254,097,299,735,138,818,022,
104,510,666,356,384,577,954,258,630,546,726,287,944,641,492,251,184,161,672,
953,571,637,054,259,116,045,288,441,480,767,202,374,757,785,094,486,307,402,
864,171,544,687,037,765,208,293,248,423,259,151,508,499,906,430,200,268,384,
682,394,049,358,548,718,849,093,245,792,305,352,773,273,247,188,776,443,582,
127,211,418,697,269,646,793,040,296,982,351,735,259,652,661,058,462,271,643,
926,864,286,046,403,925,616,015,345,537,855,831,494,098,070,420,882,681,550,
738,616,463,242,654,040,877,433,217,354,137,204,737,889,977,807,644,680,005,
716,985,617,059,202,397,997,296,045,210,677,770,172,106,258,661,567,017,388,
903,670,728,088,044,901,196,072,353,651,166,803,252,613,212,287,928,194,101,
793,982,770,308,465,325,118,254,905,128,016,884,708,127,410,554,107,015,087,
574,446,616,392,506,914,766,107,989,968,394,937,063,883,339,800,309,013,931,
399,472,315,169,022,545,874,506,231,020,742,924,317,192,457,531,934,603,048,
124,864,926,615,574,673,806,796,221,423,654,578,567,210,010,921,181,668,106,
699,416,409,878,575,809,581,008,073,267,194,731,061,969,983,929,362,310,816,
476,851,484,390,200,286,768,264,648,478,845,149,505,994,954,268,011,994,511,
448,154,554,054,740,240,675,142,909,935,028,537,442,680,269,268,788,104,105,
805,423,942,234,941,786,258,589,966,134,278,248,326,847,279,219,917,071,650,
844,163,739,158,489,464,242,796,121,969,902,800,752,101,912,475,984,131,154,
934,047,599,391,216,469,026,759,245,770,294,008,054,684,677,367,458,856,033,
405,131,220,133,968,359,232,980,413,360,059,942,782,711,187,552,274,281,968,
578,402,464,150,061,390,379,415,745,038,098,814,499,172,797,479,387,877,055,
182,616,553,219,889,173,566,012,715,279,816,942,894,063,823,411,593,786,568,
620,354,466,917,825,574,961,633,819,518,960,568,342,553,750,490,399,414,279,
531,959,593,483,893,392,785,146,825,210,159,356,382,833,009,113,061,162,378,
290,855,462,500,154,081,351,159,717,515,238,115,916,375,163,305,497,025,909,
105,495,953,345,084,203,740,064,009,997,888,491,587,078,677,958,762,723,587,
372,088,380,480,093,910,945,661,605,850,602,553,377,034,536,619,553,839,702,
841,289,515,458,101,151,329,614,808,307,824,964,467,728,052,193,538,631,406,
302,669,323,437,218,426,025,975,925,558,432,171,235,187,564,082,872,217,264,
883,565,439,897,570,629,349,689,285,655,001,377,860,892,432,869,774,219,952,
640,831,484,046,392,701,214,031,797,729,064,026,132,354,626,815,186,504,531,
454,711,137,782,240,439,477,319,458,520,698,430,342,195,076,968,387,324,907,
998,258,434,501,098,667,213,816,429,415,308,831,948,348,537,822,451,320,731,
437,598,436,399,701,620,066,015,250,230,519,919,091,640,435,886,749,334,271,
929,128,754,532,641,609,353,744,845,452,241,976,934,858,226,869,009,275,008,
889,899,425,521,100,804,239,947,382,760,748,180,405,546,920,784,331,248,335,
151,342,552,784,758,306,713,012,726,869,502,770,037,108,659,285,122,935,893,
611,915,413,918,107,360,406,339,827,929,359,808,661,742,768,749,189,691,900,
247,000,465,563,611,678,640,970,955,362,123,545,223,916,634,559,181,426,888,
549,299,022,939,828,094,087,414,040,869,714,749,346,851,598,502,336,672,798,
663,437,554,595,910,815,727,894,460,566,900,663,596,689,135,404,118,093,071,
035,119,115,180,302,925,656,889,043,962,607,077,664,998,446,232,256,134,835,
289,704,422,583,796,673,615,028,917,494,715,155,464,989,198,123,743,586,413,
886,848,424,559,744,161,450,691,796,149,865,535,145,015,569,097,108,952,622,
358,199,079,538,988,939,731,564,889,592,409,547,360,605,151,277,455,371,484,
094,566,359,704,595,770,606,759,798,025,702,507,373,475,309,733,272,543,812,
405,823,542,346,901,313,071,741,307,517,590,020,554,854,050,825,437,357,492,
627,284,473,958,466,172,446,965,731,936,574,943,727,587,839,545,118,332,255,
121,002,009,415,356,558,837,122,164,925,572,479,917,636,000,480,139,359,275,
430,616,493,806,955,045,403,278,881,794,527,503,416,355,570,361,203,368,500,
013,346,473,179,122,908,382,196,899,299,042,533,096,318,507,077,730,954,487,
409,002,567,698,163,560,499,672,790,550,419,941,006,592,424,538,252,404,378,
934,638,035,439,600,220,861,601,429,220,986,148,717,186,792,333,349,479,683,
184,902,896,176,587,157,239,962,885,216,522,525,517,311,397,615,782,578,499,
765,018,734,698,278,095,360,797,825,945,999,454,870,056,595,328,604,763,754,
982,995,871,733,089,997,673,997,084,808,719,643,912,749,190,123,649,998,844,
946,271,920,300,943,707,300,105,608,303,544,991,657,203,820,094,325,418,095,
267,591,522,294,602,723,285,729,123,768,050,259,581,900,379,046,220,285,254,
622,099,718,761,054,730,216,270,179,500,058,715,900,579,050,427,925,792,095,
032,106,803,146,899,125,796,539,027,193,404,170,990,437,533,728,106,714,484,
249,693,877,030,666,511,787,227,389,097,202,916,765,260,739,676,123,243,157,
904,310,020,129,950,016,449,176,120,300,677,626,328,933,987,204,818,271,463,
795,110,014,623,067,958,132,691,082,704,697,400,492,478,418,454,546,573,244,
280,835,694,543,744,062,070,106,843,389,518,439,100,412,907,338,999,007,654,
528,714,132,995,242,961,828,743,105,587,824,082,528,774,533,831,651,984,923,
100,159,408,235,499,422,583,207,379,335,568,271,162,233,101,579,921,704,361,
841,439,224,071,802,600,546,500,792,170,981,940,093,504,238,801,483,959,920,
187,687,383,017,371,279,884,893,939,836,520,969,264,347,358,350,474,881,526,
723,343,318,916,133,487,753,195,816,406,965,503,305,309,875,286,720,252,166,
851,024,682,342,308,869,158,413,952,046,316,701,799,794,642,807,061,761,430,
649,820,969,846,957,874,544,385,874,010,387,717,753,424,595,837,752,938,013,
043,625,924,901,731,374,736,266,315,064,428,027,703,396,757,477,610,196,748,
847,920,898,023,549,541,428,045,878,472,137,284,295,205,726,689,372,689,752,
850,811,833,085,445,650,636,356,566,153,214,283,115,186,969,063,149,498,040,
556,028,430,479,779,720,876,433,065,150,178,265,734,224,799,193,933,675,952,
834,980,570,497,463,285,041,840,188,193,388,409,477,289,979,922,469,355,467,
190,547,334,151,642,585,462,785,805,663,373,513,376,913,055,922,447,981,909,
390,160,859,339,808,756,253,730,515,348,345,096,346,743,456,213,520,121,564,
923,786,712,433,029,004,969,398,674,532,219,881,583,520,869,227,346,416,737,
629,468,119,424,410,049,485,000,854,695,964,772,618,358,926,500,111,512,596,
743,613,042,774,520,092,766,139,948,457,328,519,899,341,290,468,378,383,970,
735,428,061,145,720,557,823,255,315,744,047,807,065,624,752,308,275,948,069,
258,051,194,184,076,421,535,833,859,127,290,129,252,142,961,599,451,972,549,
879,515,484,049,394,787,797,176,833,263,187,599,773,688,843,045,282,142,910,
816,500,084,706,410,733,259,357,525,923,631,260,966,152,445,849,931,501,443,
855,335,175,741,019,782,426,233,593,696,145,525,828,557,044,792,305,441,786,
789,291,479,113,707,553,857,769,345,444,197,143,720,077,742,461,930,917,476,
352,670,619,177,762,028,747,821,915,949,045,619,734,497,719,002,916,047,997,
380,668,622,740,942,303,584,142,349,900,142,462,180,028,746,812,024,488,084,
623,367,739,110,931,255,262,200,624,697,164,530,193,850,264,911,881,565,094,
121,388,966,951,332,158,148,401,003,884,462,700,034,102,199,810,388,132,466,
025,057,296,202,423,602,345,011,970,132,285,684,942,263,886,604,659,109,890,
633,982,863,403,012,530,059,422,826,981,756,451,100,643,074,007,083,147,827,
526,297,258,170,908,467,374,127,863,953,392,784,723,097,098,411,018,048,435,
773,243,438,776,868,983,551,403,553,791,492,481,922,381,873,769,029,522,885,
673,242,841,483,368,232,008,258,718,237,179,219,668,799,132,904,390,731,932,
853,833,375,867,181,366,902,272,026,241,431,007,403,728,230,607,423,563,331,
012,571,204,200,954,935,474,121,196,080,224,591,577,898,272,516,283,992,320,
406,927,268,138,389,820,039,051,088,513,073,665,319,287,699,680,574,244,200,
315,709,082,924,617,571,560,871,674,888,301,508,476,514,058,588,443,126,302,
476,956,718,101,216,517,432,909,523,246,450,671,387,776,608,141,377,700,542,
737,429,805,712,294,015,939,334,913,680,774,878,412,995,037,406,311,951,129,
455,834,996,015,153,846,751,473,786,038,845,568,499,730,975,002,881,658,165,
624,477,327,430,142,465,666,887,937,619,700,604,985,553,033,625,133,044,616,
802,036,196,238,164,502,838,475,168,985,554,321,448,890,387,511,060,946,337,
307,046,808,770,760,561,268,458,777,359,366,332,370,929,855,630,435,486,867,
255,428,124,113,967,503,572,156,733,295,386,746,874,672,641,715,057,571,512,
391,651,140,704,561,356,446,295,194,100,835,694,894,147,467,094,198,420,285,
341,151,484,548,493,265,013,691,694,727,489,512,230,160,868,832,269,940,857,
489,687,376,664,874,496,241,619,105,033,840,595,360,507,160,978,327,490,743,
819,772,962,252,820,987,841,673,238,935,203,120,190,477,403,748,787,519,777,
754,982,718,244,597,456,733,852,867,650,342,101,413,352,548,528,606,342,513,
484,219,957,891,838,461,092,139,794,034,191,869,783,821,955,275,831,292,302,
728,215,750,946,257,397,653,346,676,584,598,507,162,833,139,501,439,610,011,
716,882,184,965,031,583,373,434,626,661,689,829,199,763,672,789,255,483,574,
020,579,803,488,762,212,324,386,030,637,879,525,351,591,120,734,574,517,270,
303,230,636,649,401,962,000,079,947,533,632,155,977,464,165,418,525,463,937,
775,692,601,918,386,852,900,803,602,109,931,568,044,927,525,773,980,237,071,
620,780,689,319,589,211,236,138,281,386,817,127,710,666,826,204,873,481,552,
839,801,043,981,283,839,409,239,847,438,904,253,201,676,206,338,951,103,351,
702,815,449,206,449,379,559,971,825,821,685,845,765,172,042,810,844,730,041,
045,265,311,318,204,051,413,115,594,909,356,084,527,167,564,735,255,172,470,
949,068,026,397,887,438,973,653,714,088,465,522,305,240,602,118,349,126,398,
623,944,958,547,386,241,707,151,649,892,830,216,839,527,043,771,533,805,455,
749,709,321,978,437,550,292,412,897,767,821,717,532,047,415,945,212,306,038,
164,377,251,576,088,168,750,860,729,652,568,965,560,998,189,543,073,276,666,
277,714,547,655,749,350,456,735,732,668,966,383,283,719,677,899,497,632,463,
551,438,044,092,415,316,802,120,072,689,687,753,153,497,168,712,481,422,605,
228,075,393,360,938,893,447,340,866,844,734,428,322,110,372,203,663,604,451,
234,387,497,442,547,770,918,362,693,178,384,890,745,490,067,394,085,012,323,
859,393,587,699,867,617,886,409,682,462,025,645,519,802,523,706,880,399,111,
883,286,669,383,978,928,829,587,302,820,981,415,845,142,442,573,475,664,323,
131,371,643,648,278,254,478,695,821,033,690,609,334,069,184,426,223,660,193,
519,301,684,556,282,866,650,964,408,050,469,680,857,406,032,172,019,119,392,
628,847,081,018,473,291,710,174,674,441,960,623,865,026,698,169,914,866,856,
409,371,810,616,567,412,467,977,277,629,182,280,469,780,978,922,410,124,828,
382,283,607,043,499,189,326,120,259,709,492,857,626,888,887,601,706,725,989,
011,287,487,538,009,520,847,118,229,854,962,697,076,689,639,886,173,211,326,
331,894,087,087,547,336,357,456,061,503,305,510,651,996,752,626,550,726,923,
059,723,872,951,266,787,267,774,187,595,141,506,278,082,182,153,645,614,300,
323,015,882,754,171,670,857,847,624,074,283,428,829,460,883,481,633,748,802,
517,572,006,817,604,284,678,700,192,605,818,021,707,503,495,560,165,480,177,
086,079,319,651,751,963,624,138,551,502,549,410,472,454,993,889,181,918,951,
615,988,496,562,500,054,402,802,073,307,961,115,601,932,770,043,671,163,292,
383,839,620,514,046,819,206,637,601,190,844,418,029,942,335,115,267,737,270,
853,628,035,463,375,648,217,001,421,047,953,486,189,947,849,728,713,056,176,
663,737,879,708,973,494,187,315,659,276,009,536,197,586,805,682,640,114,316,
095,573,880,427,810,395,880,064,675,979,775,640,231,009,167,866,647,003,874,
594,910,887,989,602,336,120,334,141,587,677,959,906,767,386,663,234,185,370,
076,269,545,432,698,400,121,744,221,342,089,814,449,230,270,907,479,027,688,
860,020,469,909,879,910,625,538,999,917,553,946,397,239,000,623,208,773,529,
416,213,163,846,180,458,351,474,789,037,265,336,528,952,074,601,890,738,233,
217,796,619,933,596,498,068,142,124,850,780,074,756,846,321,722,536,776,024,
355,471,936,193,045,609,256,293,385,070,987,437,054,794,808,180,959,218,854,
753,289,068,201,284,406,096,409,923,076,868,875,505,119,658,796,883,555,299,
446,063,097,004,235,290,635,520,172,343,341,801,479,200,264,019,122,034,875,
484,946,688,539,570,884,865,055,068,045,589,354,912,417,425,104,893,227,055,
816,368,337,983,356,749,024,775,577,609,326,967,548,962,667,226,288,679,873,
498,027,408,418,575,954,060,804,274,180,555,924,759,337,230,681,189,394,085,
527,899,014,546,321,829,336,343,889,280,729,139,712,771,432,786,090,709,722,
494,635,270,546,685,164,645,819,072,113,395,451,620,348,298,111,190,222,393,
522,731,700,034,504,398,758,591,852,879,656,730,645,497,002,715,644,137,068,
369,658,883,562,837,562,422,457,315,497,370,824,136,794,490,536,499,438,238,
877,660,789,577,860,899,873,063,767,808,281,839,787,743,154,373,210,574,523,
333,166,115,627,542,025,210,557,346,625,624,607,086,607,723,184,011,525,482,
595,250,008,054,191,085,750,261,045,230,717,880,824,109,036,499,546,081,430,
917,878,493,325,086,549,344,081,476,921,452,205,744,393,998,320,078,691,040,
482,105,854,761,885,940,402,113,768,593,190,424,125,379,997,545,681,457,122,
412,573,890,422,772,315,737,053,095,502,165,269,295,111,077,220,528,584,181,
343,855,349,831,742,435,792,542,343,053,874,250,457,772,537,132,487,991,234,
189,796,283,568,652,943,086,102,423,130,300,763,745,163,203,059,634,901,190,
714,865,043,481,030,833,720,553,001,701,151,638,502,347,607,658,190,553,985,
165,527,646,256,322,856,865,963,059,312,921,323,019,271,867,719,196,261,271,
682,985,709,372,979,940,228,334,495,727,989,304,880,936,416,439,481,206,030,
509,807,174,956,103,389,483,625,627,076,288,473,210,167,049,523,053,826,031,
979,917,023,234,445,873,153,835,436,742,080,266,562,299,932,791,591,851,432,
889,093,062,800,965,276,058,953,636,453,871,647,587,875,813,025,784,163,575,
274,262,723,586,991,372,066,892,239,353,055,366,135,162,083,835,469,945,217,
059,220,275,004,068,801,085,343,003,650,345,357,229,866,512,340,209,459,034,
411,614,750,157,428,947,918,952,644,400,314,040,541,709,182,143,010,343,938,
735,745,853,189,113,880,855,249,165,834,348,728,887,997,404,162,318,091,860,
947,635,899,711,391,723,677,771,933,282,184,302,657,176,525,866,298,771,368,
810,788,593,451,519,668,408,064,466,747,546,324,595,256,970,065,999,561,732,
863,450,698,663,629,097,986,803,767,819,433,774,960,717,758,153,477,017,188,
006,952,574,905,914,172,321,962,788,704,404,868,362,217,611,101,382,455,081,
894,577,876,481,812,922,390,584,026,818,516,168,143,959,647,632,121,886,478,
400,501,336,077,941,304,655,811,263,867,339,273,826,864,175,195,929,915,802,
745,923,149,152,934,662,331,585,900,945,371,559,820,134,086,203,429,515,494,
064,285,669,730,909,691,443,108,873,133,265,769,802,242,112,810,485,380,812,
615,731,094,052,031,372,594,662,228,478,805,690,131,965,524,264,961,044,570,
745,062,769,403,608,691,196,076,552,765,518,602,366,482,229,054,851,330,236,
340,296,869,411,393,518,964,024,987,364,557,028,675,757,016,682,724,496,384,
025,380,252,363,921,435,664,751,038,091,259,441,779,125,365,800,569,646,907,
473,350,723,394,943,512,701,621,679,272,796,441,670,390,016,866,024,812,908,
546,058,135,218,199,629,288,886,186,642,007,164,449,684,932,021,177,236,349,
368,634,015,954,771,831,699,037,453,429,877,529,158,305,621,528,891,933,336,
206,053,631,354,561,279,910,960,623,539,971,149,466,109,266,847,238,666,107,
235,871,118,619,955,237,909,592,151,549,144,461,397,987,105,153,699,436,910,
043,983,042,800,918,812,036,119,035,647,449,748,814,736,202,018,799,477,554,
565,071,255,528,568,828,006,121,554,723,996,107,589,676,311,958,809,920,304,
294,053,538,793,588,814,442,981,053,543,320,457,141,672,842,900,792,687,394,
295,749,392,017,883,625,399,458,793,322,909,051,880,543,347,407,617,093,835,
779,444,238,046,640,455,502,470,130,707,037,721,208,915,011,277,884,421,439,
197,124,999,284,762,563,049,491,046,686,995,353,023,085,587,345,502,581,720,
769,310,868,951,166,675,851,079,815,666,482,796,710,994,021,594,244,667,628,
001,056,332,891,346,045,218,448,316,389,326,200,344,868,302,114,570,557,787,
371,861,071,171,227,843,643,324,347,105,283,515,989,711,940,236,383,951,307,
241,470,007,438,544,417,681,810,218,234,909,010,387,823,013,764,320,724,331,
028,976,938,997,041,275,208,850,245,988,333,964,964,652,357,559,321,000,178,
363,785,192,695,281,792,332,929,943,908,870,128,507,722,862,668,374,970,565,
874,411,417,546,931,188,664,450,369,694,555,919,629,285,718,378,748,313,998,
507,217,113,559,974,142,328,399,438,815,886,794,827,017,203,712,991,184,065,
463,600,945,444,001,465,324,124,294,238,764,370,636,250,703,844,167,333,210,
826,716,301,737,041,990,861,378,322,948,328,370,535,037,479,703,702,255,545,
512,119,378,644,734,679,259,442,723,667,682,724,270,192,882,954,620,623,223,
299,596,801,261,167,462,661,853,729,481,891,385,187,281,243,957,928,011,312,
404,149,968,536,801,674,491,793,941,062,975,008,815,399,835,422,765,703,641,
999,800,262,306,668,448,902,018,960,863,369,882,939,915,994,485,488,406,166,
190,631,307,422,818,221,870,631,793,307,432,006,991,409,667,271,965,961,064,
705,520,155,242,795,327,473,894,554,802,080,513,304,994,974,177,594,594,974,
069,542,980,470,141,481,875,919,315,278,544,272,772,113,329,812,416,575,803,
703,576,437,360,981,538,954,013,149,257,655,039,898,799,132,471,324,853,330,
346,640,920,465,693,937,526,767,322,270,886,937,678,896,212,468,172,031,945,
022,966,840,173,682,288,585,708,675,608,966,831,595,672,750,346,496,443,520,
523,565,513,345,517,172,921,083,313,541,157,192,086,999,741,561,081,698,155,
255,935,930,351,644,494,315,288,657,581,539,755,191,080,873,920,328,344,491,
966,632,290,991,890,848,401,482,900,080,884,297,961,334,510,869,905,949,369,
202,740,076,399,246,146,402,399,300,560,826,944,096,288,464,519,111,093,465,
297,907,333,393,200,539,605,368,086,644,475,321,128,034,224,456,190,938,093,
873,108,665,781,784,069,814,616,008,467,304,780,855,351,055,511,661,177,458,
536,756,059,864,142,885,300,448,910,962,862,846,758,019,627,434,648,033,035,
966,375,824,602,759,855,928,364,154,847,423,531,594,595,093,966,165,036,936,
040,729,468,191,754,891,205,926,814,894,846,176,195,365,879,029,613,321,081,
301,186,821,657,301,461,544,338,109,626,511,400,772,942,309,609,188,112,693,
541,255,033,158,528,496,168,998,078,506,381,651,643,506,444,326,079,044,139,
142,947,737,523,038,156,816,580,959,335,870,324,934,784,227,206,281,369,447,
265,256,095,767,540,540,158,390,946,807,049,806,497,958,362,335,556,883,230,
393,587,718,544,519,608,226,429,953,776,097,437,513,005,187,516,779,587,712,
908,132,740,890,319,936,463,190,423,035,945,969,935,091,455,405,302,167,495,
194,801,373,143,067,882,153,244,970,021,116,749,191,857,566,892,390,344,244,
152,062,780,478,798,392,400,041,087,854,138,567,772,147,594,541,886,348,939,
820,691,733,985,681,147,543,571,896,728,971,387,002,862,053,832,721,679,176,
465,933,867,622,164,763,823,841,843,944,039,268,494,785,171,853,766,359,036,
856,495,162,752,348,178,757,070,703,220,736,581,528,919,252,927,453,304,560,
719,394,531,603,712,426,730,818,805,010,368,578,189,087,016,225,466,231,493,
630,786,288,870,919,370,172,710,983,210,752,451,698,687,391,206,178,723,233,
548,941,355,988,561,426,791,685,892,439,506,018,812,330,888,819,447,879,281,
463,886,232,016,596,688,115,976,406,355,884,653,452,754,039,113,495,415,202,
289,175,906,002,893,553,763,509,678,980,808,940,646,455,485,720,421,667,019,
878,702,307,749,712,385,691,496,011,080,041,374,209,867,825,517,657,981,996,
233,526,298,955,676,694,735,245,479,488,578,258,939,474,589,393,227,277,545,
998,338,873,281,807,478,588,760,135,473,906,241,501,483,678,751,985,268,040,
195,099,393,757,011,440,221,752,453,855,330,374,283,792,950,241,301,957,956,
658,373,760,315,361,189,982,447,751,619,591,574,805,156,039,319,269,059,420,
467,283,397,956,112,837,518,532,385,550,904,556,043,203,410,037,094,479,682,
198,336,663,182,859,497,258,647,145,405,928,488,115,243,298,261,237,296,401,
633,859,684,728,395,782,204,935,615,418,518,411,422,588,954,261,531,348,839,
815,109,575,509,268,915,448,201,332,624,848,796,955,823,443,867,550,924,907,
459,811,459,478,458,721,444,716,973,304,943,534,186,052,913,277,747,554,269,
008,994,510,549,089,072,273,437,304,058,352,773,866,487,094,091,223,573,052,
475,395,938,821,448,803,255,244,070,348,300,108,297,198,588,991,787,029,817,
377,841,622,193,393,844,510,213,761,264,096,607,951,829,868,607,834,884,104,
255,018,632,867,702,664,470,935,644,178,157,106,226,407,490,583,128,932,379,
474,964,597,262,611,373,513,455,366,544,795,017,289,609,676,480,555,672,046,
405,617,174,467,580,678,134,762,821,348,537,809,704,743,948,589,150,514,789,
481,044,910,496,376,184,713,784,615,927,554,104,169,777,808,561,174,524,982,
006,445,035,859,842,030,068,268,538,457,291,140,663,017,243,886,479,765,838,
620,971,573,632,449,445,961,720,679,670,173,218,901,413,333,074,540,530,458,
344,139,401,658,470,899,640,878,338,364,849,489,976,867,207,600,993,707,497,
485,001,598,463,825,597,339,071,184,173,921,385,172,181,415,046,091,960,070,
155,247,759,260,707,377,959,255,686,244,885,284,860,974,597,682,782,204,233,
096,388,863,782,680,473,364,272,874,284,806,328,727,623,559,167,376,605,161,
933,498,392,099,589,536,450,127,962,102,766,994,605,291,956,044,325,992,833,
241,729,311,293,494,620,929,454,215,981,094,107,585,705,713,667,070,868,878,
947,424,731,861,038,351,747,580,481,315,079,652,826,015,399,764,558,046,597,
198,565,191,834,155,861,595,517,509,344,363,890,965,748,490,492,241,435,273,
237,205,032,404,639,116,637,298,246,955,430,379,249,366,231,653,921,468,780,
098,226,923,633,011,111,271,877,001,227,051,451,847,526,208,364,782,282,898,
224,824,174,889,969,537,666,330,060,776,102,738,122,605,228,997,063,525,416,
929,651,102,153,588,964,131,009,545,847,712,988,481,994,144,467,062,317,985,
058,637,266,207,593,821,372,911,820,607,681,905,849,637,002,222,132,167,108,
143,818,515,347,022,347,883,106,149,329,807,610,890,918,309,058,920,439,419,
915,554,328,773,585,528,875,448,252,516,105,273,567,580,522,948,369,719,657,
938,750,577,650,309,660,084,668,520,268,747,830,241,090,492,194,441,410,690,
078,234,678,814,929,300,399,128,319,577,124,363,231,477,800,275,702,667,128,
949,869,377,290,012,923,953,249,431,777,781,934,368,085,616,599,289,529,787,
541,398,513,953,771,628,524,611,328,488,923,893,872,119,269,141,174,689,720,
431,714,567,653,135,858,867,151,005,645,274,818,304,581,369,878,346,401,824,
684,020,115,705,302,003,604,150,450,698,084,443,672,811,509,139,202,300,694,
671,544,357,538,883,420,397,780,141,392,675,649,706,848,572,707,539,912,648,
605,918,695,419,327,402,557,145,163,614,530,871,807,325,372,811,449,707,877,
225,038,376,667,651,646,535,183,937,601,438,985,705,409,427,875,152,889,231,
833,300,738,897,014,903,702,137,464,908,000,667,631,704,866,783,072,108,383,
071,048,950,609,772,585,027,743,500,017,452,637,256,964,253,477,610,668,311,
717,213,950,732,331,544,120,685,903,728,815,742,832,730,665,919,660,389,988,
758,902,266,655,495,284,051,361,185,710,535,060,445,286,040,256,646,059,523,
560,576,445,401,324,889,516,357,970,435,197,547,476,498,663,684,632,413,878,
059,884,621,996,450,714,536,937,587,554,472,953,343,278,830,961,305,108,133,
047,920,673,780,961,703,825,976,794,259,113,969,670,689,527,786,852,399,537,
059,155,969,165,159,345,612,033,853,106,725,054,616,368,206,653,697,975,891,
339,538,132,673,045,911,149,792,541,958,507,017,605,961,030,400,425,954,316,
180,503,431,518,787,950,193,177,204,925,959,073,293,943,646,977,684,266,935,
012,519,978,570,977,350,874,953,548,235,754,630,183,755,780,054,484,101,981,
706,625,386,964,955,936,557,734,150,069,964,406,017,496,116,091,744,412,932,
634,461,315,926,012,330,317,976,673,446,353,752,593,059,576,835,374,380,563,
718,801,312,348,071,302,275,984,829,347,409,802,872,337,849,402,923,376,650,
248,753,850,276,256,806,710,192,760,335,478,092,922,611,170,807,672,579,828,
788,999,478,782,531,773,136,095,501,547,113,872,068,076,777,130,280,532,682,
057,090,910,233,534,246,445,075,585,567,658,348,928,694,849,864,177,087,670,
391,513,970,540,179,931,034,326,690,633,976,951,973,971,614,050,406,890,415,
702,543,604,059,338,639,056,022,494,903,702,197,519,236,969,124,718,036,040,
067,790,478,093,354,465,041,936,297,762,482,766,934,663,306,121,756,199,058,
629,549,700,945,386,711,295,513,460,076,972,305,558,693,971,930,074,900,719,
369,887,651,482,369,866,037,605,180,441,151,008,024,592,421,213,003,502,263,
411,881,020,913,791,392,011,807,658,560,395,226,904,319,801,688,005,369,428,
488,762,948,009,631,105,772,928,731,780,120,697,069,212,992,831,953,016,939,
320,407,687,695,367,843,476,625,879,675,883,552,507,883,030,718,791,183,409,
598,359,824,494,219,453,819,533,010,006,861,106,276,657,749,880,589,625,519,
116,863,305,931,992,093,010,184,391,305,207,947,970,298,417,235,948,368,737,
698,050,372,210,306,275,127,878,177,096,158,925,291,595,210,149,687,649,560,
547,824,982,995,890,287,287,579,702,347,786,862,244,424,615,401,352,571,076,
151,704,090,896,131,545,774,852,642,921,336,187,570,949,756,969,908,900,493,
120,632,119,844,150,178,172,233,792,764,194,522,199,220,382,579,238,843,297,
032,777,733,745,539,221,924,620,771,543,383,588,932,481,900,289,239,302,416,
748,309,395,186,757,487,207,198,239,387,694,321,988,701,983,572,645,539,149,
173,902,034,036,296,542,466,478,970,145,859,224,299,629,531,190,870,559,126,
067,821,267,682,514,923,134,574,675,624,315,570,874,756,515,875,668,741,730,
429,233,875,384,345,743,803,261,193,654,217,919,517,917,745,875,060,721,064,
318,838,891,781,104,436,532,712,257,574,444,110,600,939,780,981,169,245,156,
060,127,649,485,306,896,460,063,012,008,828,916,344,406,113,202,210,142,673,
562,872,143,218,870,107,667,129,550,867,797,322,971,176,916,224,334,378,484,
123,261,293,113,597,972,389,461,439,126,656,604,896,658,818,294,905,291,507,
916,152,761,367,884,221,109,925,398,603,738,720,986,803,457,676,290,106,526,
891,712,069,476,429,132,523,613,075,707,075,230,965,510,433,409,563,554,292,
185,385,946,343,971,626,575,763,575,011,058,441,908,840,125,095,075,191,303,
146,622,197,694,982,774,155,712,208,777,489,030,442,755,621,173,046,846,367,
398,719,026,413,866,834,947,564,015,598,277,172,846,455,029,575,369,946,112,
785,387,632,840,406,239,814,364,489,951,715,911,890,183,057,296,483,036,276,
102,654,626,423,297,146,840,149,617,097,216,309,115,795,538,671,763,213,674,
803,904,299,269,578,883,230,801,523,265,921,190,366,591,252,775,485,515,834,
065,304,588,051,523,603,851,658,786,929,072,548,572,917,718,629,907,210,264,
640,443,852,105,187,578,083,395,916,791,557,633,632,799,779,031,732,541,628,
567,542,087,644,248,668,498,502,255,029,950,519,134,698,271,646,371,357,890,
459,439,865,894,138,002,497,452,104,618,072,305,001,661,366,993,951,862,379,
850,654,549,861,737,278,242,942,197,271,318,373,377,383,216,317,489,700,766,
484,589,766,890,135,304,583,943,211,317,011,827,135,711,594,809,488,981,207,
880,427,449,305,958,701,492,639,886,147,730,220,815,357,846,614,136,380,742,
940,495,964,957,312,921,606,062,296,718,635,492,338,372,464,857,338,663,619,
122,009,998,289,207,236,719,748,788,138,156,900,673,292,552,923,344,653,201,
400,070,966,225,855,488,919,316,415,864,930,294,532,818,750,471,563,126,220,
926,505,406,052,351,219,110,013,098,251,865,208,058,541,517,915,490,198,399,
969,546,741,251,442,176,684,215,062,265,361,206,335,327,533,621,293,442,718,
659,871,054,111,272,086,362,026,408,092,527,774,760,995,715,991,041,252,174,
771,854,156,173,017,603,225,944,750,354,109,721,520,927,681,648,463,974,112,
512,977,128,223,773,165,685,968,685,751,148,618,522,698,866,671,632,666,463,
149,335,272,787,399,805,537,013,338,259,615,509,023,539,988,638,733,951,761,
324,043,308,157,604,456,123,566,885,203,069,039,929,832,584,370,602,338,195,
631,379,616,021,175,334,920,366,326,467,316,063,117,135,326,961,234,223,991,
371,262,749,595,388,174,052,679,876,152,222,158,560,509,419,785,833,023,992,
126,303,396,506,536,889,138,947,300,226,464,708,457,277,104,253,039,184,725,
924,880,936,910,584,097,792,316,277,394,771,817,505,302,447,832,236,542,002,
064,739,420,627,280,495,596,495,041,149,355,763,976,009,026,163,765,170,588,
939,009,737,609,929,524,617,622,398,519,326,312,495,435,230,080,077,342,167,
462,375,016,451,258,969,657,915,757,043,650,161,750,574,017,271,798,436,458,
241,728,132,169,624,132,835,562,713,053,379,168,024,802,690,491,674,935,993,
266,114,188,571,134,641,609,933,531,371,409,163,127,448,707,861,436,754,618,
812,265,153,565,236,153,568,744,975,834,523,758,660,205,839,917,073,432,838,
451,315,660,297,973,056,352,273,028,176,836,814,088,991,842,236,025,329,235,
020,392,404,478,131,408,918,716,204,603,559,469,074,103,299,061,227,468,962,
730,414,515,310,146,911,950,250,611,790,834,913,625,706,685,303,788,217,848,
153,071,189,008,072,558,386,233,544,144,673,941,717,589,014,171,568,283,661,
150,601,206,047,655,743,409,760,733,555,442,969,410,184,399,318,865,456,266,
572,058,881,432,194,597,384,820,566,873,851,780,930,497,520,999,777,300,732,
837,668,434,317,573,086,328,908,952,587,367,720,768,286,209,635,689,523,827,
413,780,879,596,620,440,675,734,791,254,656,941,095,971,040,213,204,889,955,
551,967,082,267,852,877,027,264,465,809,203,555,577,538,423,736,570,416,624,
512,061,993,594,115,135,230,345,799,997,394,233,852,184,194,175,981,322,963,
863,536,798,118,160,116,202,881,262,820,054,108,078,774,784,450,855,406,758,
911,647,461,395,384,741,425,014,464,685,430,829,582,257,639,464,821,344,990,
729,485,790,852,867,438,178,359,846,061,400,839,296,993,375,820,677,915,640,
197,759,083,120,531,646,048,591,523,649,527,313,315,378,565,047,905,656,304,
619,046,988,195,643,456,837,021,641,224,231,148,365,137,980,204,586,694,058,
874,953,271,912,401,331,728,376,953,734,417,790,559,473,199,450,575,167,819,
534,992,094,725,655,933,198,204,371,711,384,817,333,482,572,783,214,784,885,
628,258,665,930,481,635,282,513,830,153,566,002,292,517,681,628,559,297,350,
526,832,118,333,775,990,626,388,271,639,915,060,684,338,045,641,837,952,238,
911,968,760,419,293,740,944,608,749,889,147,388,141,419,947,388,685,425,637,
953,082,455,935,328,784,907,202,683,247,946,395,565,918,799,999,552,031,437,
655,913,140,684,884,512,897,486,519,055,790,528,279,298,280,140,944,099,452,
683,489,314,318,307,277,340,667,486,833,411,127,742,692,642,678,837,817,594,
035,968,016,718,383,390,110,377,038,194,996,905,763,107,925,803,147,394,145,
515,989,872,154,998,389,791,133,924,177,260,474,832,022,574,221,580,971,501,
341,313,369,619,433,090,795,915,597,200,478,835,711,554,214,424,653,195,788,
528,335,562,610,611,343,334,319,285,326,454,262,340,882,908,718,842,385,267,
868,905,532,245,212,494,765,124,028,909,844,804,137,492,971,074,836,856,864,
996,304,996,497,685,974,980,911,327,184,527,312,622,628,455,333,392,129,335,
583,490,463,160,981,747,374,924,701,048,595,140,743,438,920,634,856,765,985,
787,741,952,579,587,836,199,548,767,551,179,173,608,158,261,392,375,091,965,
895,187,692,734,028,936,257,885,708,413,959,941,097,847,394,659,004,365,177,
755,946,014,419,446,362,950,913,098,084,817,986,036,642,785,017,853,843,329,
189,784,119,004,900,764,033,679,490,968,194,911,196,544,269,259,662,970,892,
165,046,512,876,140,682,227,406,979,143,415,917,782,830,640,692,064,120,353,
709,373,165,696,416,190,630,432,091,964,834,890,371,293,150,500,972,255,494,
003,104,699,936,262,784,419,183,743,229,056,164,810,879,857,613,328,928,241,
549,068,744,089,439,864,240,376,997,971,825,578,275,264,561,520,107,402,924,
610,659,379,742,274,951,493,145,884,629,014,696,882,280,541,819,695,783,920,
765,928,297,440,692,885,853,465,025,387,417,741,798,549,577,145,271,808,252,
399,157,157,028,609,048,225,570,216,772,521,628,856,339,287,780,016,084,311,
311,005,732,105,239,705,233,396,825,033,463,417,596,989,119,469,099,565,588,
675,339,198,838,598,465,666,191,590,785,816,115,658,178,983,127,775,823,140,
713,842,888,997,209,097,971,879,433,129,082,369,241,954,320,715,680,651,228,
713,393,923,194,942,045,829,257,195,447,514,347,761,715,567,113,829,845,892,
846,435,810,955,217,730,182,481,450,076,738,121,842,441,167,841,724,751,001,
073,397,776,777,482,576,063,583,737,313,796,527,090,342,393,927,031,803,631,
394,773,282,064,278,517,624,465,296,020,897,659,063,049,304,052,777,767,665,
936,525,761,448,763,442,832,767,504,384,392,287,627,708,417,153,085,285,380,
718,843,757,776,986,546,296,453,332,405,719,594,783,166,131,652,364,228,887,
736,057,529,004,399,862,889,311,275,917,234,358,229,740,874,968,639,320,914,
169,557,074,901,585,219,113,897,144,861,882,921,212,099,052,170,004,125,222,
532,652,253,428,530,773,208,974,254,577,113,037,815,383,928,479,588,578,371,
576,142,131,750,615,548,351,722,503,180,894,510,899,960,591,557,627,187,242,
324,429,178,315,078,416,170,648,783,295,919,529,182,940,589,025,309,638,688,
124,298,169,168,535,306,063,222,109,363,802,078,143,297,207,033,094,454,799,
852,516,238,746,749,618,898,983,390,237,938,369,203,456,465,771,174,688,148,
770,567,147,385,229,082,368,975,162,466,424,285,036,469,411,825,698,423,487,
406,452,243,397,212,728,318,621,590,421,723,284,361,104,596,339,290,176,157,
960,053,156,195,608,682,883,015,616,004,889,394,244,269,689,441,406,901,571,
658,545,319,480,813,083,242,408,920,554,637,704,633,235,975,153,431,174,028,
296,946,250,804,146,851,035,915,446,425,703,214,236,021,694,835,262,876,649,
292,684,929,876,370,139,238,823,623,856,791,118,485,882,320,358,077,194,617,
182,097,571,070,658,041,314,806,662,043,982,142,389,146,879,157,953,096,281,
892,828,764,781,408,468,809,384,433,083,594,394,642,866,715,961,345,117,634,
861,873,136,447,067,769,322,486,795,776,919,572,478,837,641,587,049,168,492,
010,574,929,404,781,597,833,424,276,495,367,983,940,167,571,513,021,198,641,
170,169,136,479,399,793,675,892,938,831,505,086,366,607,786,080,417,126,258,
839,529,793,761,136,005,085,765,376,208,539,034,396,755,986,093,612,652,360,
661,048,704,764,455,256,356,692,515,330,699,540,310,897,635,311,988,392,493,
191,217,477,964,921,720,204,927,022,950,994,070,491,215,576,150,626,561,779,
482,297,914,544,233,360,967,609,298,907,649,844,267,183,613,424,129,143,803,
148,444,244,540,181,231,036,558,235,095,808,741,702,932,742,515,235,459,225,
044,769,870,504,595,222,239,462,902,563,996,069,321,183,583,056,873,382,790,
802,688,332,093,520,774,972,208,011,207,869,053,936,062,443,136,895,647,257,
523,651,986,011,186,737,160,934,614,227,792,882,740,442,019,252,676,358,404,
345,396,521,456,557,322,294,552,901,286,317,102,997,438,278,095,622,501,159,
562,626,441,278,769,603,198,523,212,426,698,089,622,378,386,101,479,172,896,
420,727,112,500,622,032,573,043,284,675,122,854,064,535,813,431,911,420,212,
686,806,959,478,997,044,748,532,924,469,901,194,418,346,421,403,144,123,909,
407,734,970,987,786,638,344,173,856,348,579,590,586,882,319,116,168,203,445,
617,427,064,310,585,713,353,404,493,845,658,062,148,861,995,473,172,107,330,
247,037,739,176,466,590,984,991,057,901,026,014,973,483,072,129,167,308,494,
509,789,724,260,228,209,686,735,017,767,704,651,185,916,814,645,247,473,443,
006,054,559,292,218,301,533,753,306,131,282,864,192,748,193,332,652,143,258,
274,251,032,653,149,790,895,094,340,516,781,358,970,477,318,620,499,836,511,
553,491,017,674,353,789,395,966,523,072,972,211,094,366,834,177,975,941,984,
609,644,346,760,227,862,075,746,784,611,556,458,215,661,271,012,137,916,498,
421,084,041,191,420,227,665,144,723,309,851,057,930,184,069,763,856,617,345,
447,644,308,411,100,878,578,258,601,152,877,058,984,791,936,836,961,913,668,
367,398,591,245,455,333,291,408,540,040,735,829,814,191,558,477,961,577,112,
479,604,583,639,401,391,940,147,419,806,573,726,788,760,893,130,374,114,093,
230,032,554,682,393,930,961,396,920,855,729,930,354,399,380,241,829,474,034,
985,341,230,888,084,645,787,633,350,094,288,159,326,143,601,121,112,850,693,
471,532,628,611,217,584,065,122,231,264,467,254,413,299,788,565,671,675,284,
932,307,926,483,245,730,776,244,650,625,555,822,255,338,466,972,691,786,504,
374,744,672,300,257,529,442,329,882,618,931,961,664,637,791,693,012,747,431,
700,780,632,898,173,723,837,094,763,066,983,674,907,051,127,963,066,610,981,
179,722,453,422,436,855,832,853,339,335,328,029,026,281,010,546,935,155,198,
647,603,056,097,821,841,105,305,513,080,813,442,070,303,668,396,130,577,035,
734,892,981,346,195,268,447,126,028,468,816,946,638,984,492,830,918,576,550,
761,726,924,338,926,076,273,794,600,688,141,981,598,845,077,535,492,431,999,
404,434,924,841,204,782,853,125,890,759,887,984,265,778,759,800,666,992,093,
488,830,633,483,271,002,023,480,441,873,000,929,330,782,759,463,616,379,889,
084,534,757,435,676,961,202,343,572,746,502,825,747,858,404,939,643,675,687,
812,938,263,167,724,342,739,124,142,490,949,985,608,323,466,920,343,226,179,
621,222,805,659,259,405,105,684,552,051,920,051,328,700,150,418,741,624,949,
007,830,524,168,488,504,479,108,513,455,996,414,043,427,424,486,430,928,250,
108,698,682,538,325,149,080,807,362,040,579,281,074,002,092,323,516,535,655,
351,191,746,374,154,527,569,714,243,560,660,455,509,668,301,318,307,372,877,
289,191,890,011,506,090,686,640,890,155,121,615,757,862,642,478,972,456,520,
890,077,949,715,603,256,279,947,098,689,715,918,592,965,157,711,425,809,189,
706,891,779,580,996,768,607,786,722,018,840,455,289,970,017,315,677,899,734,
842,228,179,352,622,368,585,183,593,335,699,288,268,014,110,247,183,841,783,
587,866,846,703,456,996,173,381,956,687,619,225,543,220,399,116,783,144,420,
581,202,994,130,853,412,473,520,472,606,030,202,897,874,117,433,314,939,049,
197,797,865,244,181,741,125,201,847,821,445,622,083,854,986,645,840,247,300,
416,629,967,745,716,547,456,331,839,346,124,509,294,818,817,266,132,105,327,
771,042,404,642,358,880,384,029,103,178,322,592,418,656,612,545,606,954,499,
842,878,671,522,253,433,823,949,171,103,590,878,612,779,709,903,626,191,649,
187,457,761,518,514,772,864,324,543,196,282,903,663,284,086,975,533,865,001,
701,903,934,038,008,395,573,476,997,654,809,743,232,950,034,565,516,129,365,
836,630,681,102,475,638,609,481,306,465,632,177,338,771,418,499,784,296,699,
717,514,161,959,507,690,403,757,893,859,023,495,854,411,297,394,828,882,111,
000,599,450,656,272,153,495,751,727,862,555,982,823,133,820,203,819,890,559,
466,844,074,996,240,391,169,458,481,049,831,903,140,181,137,692,112,702,718,
344,540,876,813,050,377,382,280,582,221,274,791,246,453,229,309,256,492,092,
345,052,981,616,684,160,616,263,843,099,084,884,385,759,459,067,401,156,519,
635,026,116,558,729,592,038,782,811,889,368,039,872,322,847,323,816,665,483,
672,258,735,698,750,181,616,485,630,963,639,118,199,156,694,516,373,270,996,
999,128,885,127,941,166,494,239,541,041,063,437,212,620,406,813,396,854,094,
872,476,998,387,199,467,841,900,489,172,674,416,678,701,324,838,001,727,353,
721,615,513,147,378,037,205,690,762,610,413,107,073,946,610,058,717,048,104,
384,643,693,061,729,867,254,265,463,664,612,636,368,625,224,575,089,419,999,
771,036,572,949,575,364,277,480,278,194,277,628,769,813,832,190,811,332,341,
734,303,435,982,008,159,967,649,896,646,789,379,391,290,088,835,580,799,289,
649,643,493,091,612,571,426,871,571,653,162,932,563,956,924,305,552,898,729,
203,856,143,791,181,065,003,254,839,386,433,505,392,958,633,016,490,211,850,
813,577,721,764,123,063,847,066,510,704,111,762,654,358,002,190,959,237,290,
415,718,797,830,164,207,764,905,766,860,357,712,012,318,493,217,727,677,148,
700,530,160,119,645,057,394,401,725,846,976,755,147,505,905,827,892,190,921,
835,833,835,614,730,439,860,674,112,085,524,279,349,684,452,558,730,625,080,
125,845,521,934,557,140,658,913,676,548,584,269,624,332,826,891,131,978,005,
382,543,318,006,466,379,888,220,373,965,971,328,766,162,704,133,561,428,272,
540,102,163,757,182,376,588,793,779,984,465,152,506,006,175,601,687,441,065,
272,617,345,310,477,913,591,147,490,261,262,327,516,210,086,567,086,895,808,
300,183,210,926,062,271,070,438,859,196,419,264,137,355,336,241,200,610,834,
941,499,914,028,196,479,851,542,737,919,937,478,064,673,726,086,485,656,776,
731,450,907,325,785,664,240,472,289,596,289,885,841,061,349,448,619,204,306,
414,228,142,101,599,828,309,183,784,700,590,935,233,892,488,488,378,491,305,
955,022,026,057,098,923,583,080,693,850,315,021,030,501,319,555,096,522,170,
687,368,999,166,388,281,024,404,786,179,049,224,721,277,252,803,541,370,464,
988,896,403,673,845,117,869,269,405,790,443,393,328,312,404,236,160,740,333,
877,240,108,521,124,713,494,346,249,015,206,156,585,943,475,855,501,448,792,
342,760,352,676,857,627,218,572,772,712,384,328,280,971,861,017,901,434,381,
924,925,792,145,514,614,122,173,365,701,416,924,777,192,664,764,687,710,685,
990,696,839,222,919,009,528,582,612,239,332,524,990,327,171,814,494,339,310,
063,786,392,435,682,055,674,639,729,666,699,690,989,191,371,058,486,324,482,
085,391,138,231,649,289,874,161,131,315,797,238,432,350,571,440,690,132,667,
777,363,830,866,076,268,124,719,075,274,527,702,808,561,837,317,568,875,764,
106,314,329,999,760,286,926,804,608,646,672,992,026,902,378,495,721,216,166,
875,605,110,272,421,681,576,519,128,183,991,864,627,530,086,386,972,957,153,
080,928,673,618,847,482,051,117,132,235,932,092,973,581,478,642,271,450,520,
523,633,380,608,705,397,309,199,819,147,429,770,055,068,013,215,332,273,218,
038,261,273,421,759,874,764,906,361,798,747,273,869,335,318,728,355,784,235,
756,589,065,259,592,273,651,863,529,970,492,943,010,069,188,404,643,288,442,
841,941,118,306,220,609,302,750,169,288,466,305,680,541,194,065,578,576,748,
708,535,253,074,798,047,264,762,577,230,299,940,292,916,160,912,963,854,343,
623,480,707,121,656,864,260,443,219,527,187,769,758,322,285,609,724,874,937,
365,205,026,220,792,295,973,666,416,300,325,717,010,934,598,102,927,886,823,
834,435,158,085,791,869,299,883,597,011,452,631,575,447,811,194,756,535,841,
101,024,409,418,390,224,630,667,842,402,444,550,070,138,542,796,670,529,600,
367,841,414,134,300,930,338,186,972,616,500,180,083,814,343,854,012,349,653,
055,318,960,460,726,322,930,126,419,967,476,510,779,255,339,824,066,468,735,
009,898,270,086,660,596,214,619,814,621,667,588,385,445,342,609,158,718,169,
690,477,215,031,442,137,423,031,736,753,698,602,663,761,848,063,269,539,843,
321,274,621,068,483,346,175,605,219,990,410,218,510,170,015,426,786,949,795,
297,967,657,183,510,213,989,115,777,486,780,726,244,591,139,668,133,215,795,
817,328,088,470,655,902,343,545,923,599,408,522,318,838,657,548,773,698,676,
374,101,367,928,687,370,581,627,314,667,963,232,006,206,686,487,853,422,782,
044,136,893,163,961,257,065,574,668,642,825,047,664,089,127,307,830,978,105,
235,469,643,424,458,894,983,266,762,074,293,318,701,167,819,367,503,364,547,
906,813,995,868,030,950,794,739,660,567,029,994,922,723,684,388,878,600,296,
689,337,757,643,504,673,042,249,081,250,548,959,058,451,388,620,102,222,373,
858,153,858,302,234,631,136,461,411,369,924,661,320,836,222,858,913,239,469,
229,729,964,800,896,862,992,195,105,653,017,117,608,758,425,801,858,808,321,
948,961,557,701,261,399,995,003,982,035,215,499,057,800,091,324,641,305,996,
188,149,488,291,562,283,226,354,422,096,489,477,516,635,054,474,667,212,902,
913,950,339,234,015,106,830,516,819,876,001,564,252,504,366,722,048,772,462,
475,129,088,140,228,173,150,367,700,021,967,242,716,691,059,574,353,347,454,
872,384,420,989,006,446,409,257,257,016,494,673,666,720,832,868,350,354,522,
135,345,180,125,426,651,944,302,888,618,546,518,763,326,077,656,590,340,879,
743,038,801,947,548,122,176,328,202,485,172,157,130,378,878,252,325,798,138,
805,115,560,998,306,992,151,422,906,672,658,783,885,298,716,496,495,887,951,
952,755,184,047,536,777,234,732,431,753,979,109,311,618,210,511,986,172,905,
613,901,412,616,186,325,574,335,119,494,546,034,882,501,158,270,881,093,768,
566,151,580,654,961,463,870,247,291,890,455,485,901,899,058,812,409,115,442,
572,961,530,810,616,258,190,878,196,700,751,880,531,424,183,975,832,223,559,
266,676,236,769,999,006,276,688,608,954,504,048,941,821,455,301,498,347,630,
425,155,659,889,948,100,049,483,195,378,674,787,122,882,243,232,483,511,350,
981,298,487,609,097,915,992,634,147,214,879,018,548,395,382,072,584,285,229,
139,639,444,490,188,314,506,648,914,976,623,393,341,198,174,678,481,100,563,
878,527,917,133,525,805,051,256,086,398,157,955,706,384,090,730,290,353,209,
332,287,122,542,779,714,131,599,685,659,364,881,785,504,835,980,845,003,313,
832,965,391,974,443,363,992,987,744,122,620,502,853,577,092,435,152,272,410,
826,701,199,089,129,748,388,431,046,272,483,177,151,121,134,778,997,861,109,
588,880,441,763,628,670,353,486,921,951,692,178,588,113,507,215,644,715,462,
032,563,796,752,477,978,549,442,426,624,802,762,835,102,716,423,582,221,429,
449,072,101,062,962,563,793,903,986,464,323,223,294,315,138,101,167,951,686,
608,947,881,922,282,272,321,803,531,085,258,380,174,108,635,450,830,009,715,
248,562,130,358,403,819,862,839,530,573,007,883,034,427,866,170,518,370,125,
292,643,969,916,934,350,697,584,940,457,880,434,916,045,164,825,270,594,359,
106,799,554,811,143,752,455,633,869,756,022,086,038,690,984,147,962,638,210,
305,099,457,443,373,318,485,581,799,141,850,372,513,408,395,518,309,839,070,
133,771,442,378,588,791,827,329,823,894,195,763,329,778,039,316,954,124,168,
694,257,168,680,436,107,032,774,335,606,531,926,227,385,364,184,645,264,023,
705,883,627,754,156,082,026,973,265,205,173,269,826,845,187,972,308,405,883,
029,466,521,870,590,612,490,190,589,609,125,010,104,242,499,146,669,146,625,
025,080,858,510,386,481,243,949,508,892,852,023,340,243,988,329,843,096,967,
386,452,254,990,225,248,679,085,168,798,584,753,534,126,722,829,138,683,203,
240,975,007,817,103,512,202,132,322,992,917,056,174,180,255,902,288,547,113,
201,987,722,963,767,825,916,414,946,605,037,159,409,713,660,936,852,059,307,
266,164,241,682,484,349,816,738,480,273,995,217,728,238,820,088,128,875,712,
906,121,111,850,150,036,450,680,422,995,131,587,003,172,032,589,166,899,241,
504,199,197,186,767,597,946,705,916,941,459,904,286,465,487,549,362,509,117,
921,074,314,003,492,898,509,303,757,128,115,768,997,651,658,914,744,656,679,
212,723,620,965,174,251,004,964,346,894,104,648,797,920,479,839,692,990,298,
396,323,869,138,842,138,087,287,139,237,126,368,732,407,149,186,094,309,901,
622,200,112,309,237,105,573,801,988,515,783,186,567,997,709,700,365,875,765,
669,048,573,833,805,101,054,960,146,613,283,651,314,684,131,750,750,014,449,
672,346,312,735,449,689,872,218,314,132,616,064,404,846,243,797,564,495,415,
006,421,680,497,184,154,472,253,405,508,705,553,950,276,567,191,765,994,371,
844,609,342,094,461,827,529,396,678,445,965,058,119,462,679,626,627,131,522,
775,978,796,886,202,573,227,166,813,828,068,597,534,792,875,132,344,919,574,
970,303,521,029,425,764,728,263,784,582,111,655,882,035,403,522,718,999,602,
550,466,790,309,895,575,669,726,262,539,832,628,182,399,040,644,239,953,657,
273,677,494,156,189,590,569,715,149,774,682,414,749,207,315,741,061,058,009,
165,145,923,212,820,669,443,398,629,400,112,884,018,086,412,702,716,720,311,
997,529,197,200,944,761,812,043,568,882,183,274,878,743,900,867,082,488,706,
525,511,324,282,687,494,836,199,915,764,296,349,734,442,689,092,988,485,774,
231,503,973,392,126,289,108,476,501,414,557,782,398,627,900,669,943,906,048,
729,015,957,703,262,084,430,934,920,424,326,915,435,137,580,400,878,266,665,
302,296,808,895,351,494,656,031,946,063,133,837,543,584,556,249,031,046,642,
847,960,558,248,309,173,598,058,323,895,806,322,622,652,049,097,944,885,645,
206,021,104,027,338,184,233,145,485,463,070,171,738,333,897,049,775,704,105,
831,466,826,239,272,445,224,545,811,457,430,544,797,970,422,254,431,147,792,
297,419,827,001,119,061,915,953,148,205,465,070,479,471,895,957,141,711,831,
551,378,490,398,740,718,610,378,749,296,859,179,208,551,851,156,221,004,379,
426,407,258,838,024,297,646,153,224,767,434,094,443,676,179,903,363,341,181,
384,654,281,064,904,489,299,330,561,345,236,276,649,052,508,958,316,202,124,
237,524,166,550,655,807,454,542,620,807,521,472,931,977,009,941,629,266,301,
470,106,271,823,684,549,057,123,952,951,402,245,182,289,871,370,447,379,533,
615,079,973,642,660,212,990,152,937,383,434,056,429,214,706,780,949,135,620,
716,116,793,815,237,528,750,086,795,537,735,270,121,403,906,882,108,163,572,
423,935,094,658,655,008,976,787,784,426,881,186,128,994,534,606,578,903,389,
676,667,800,327,073,448,692,211,104,947,858,770,720,854,960,137,218,346,276,
305,871,863,301,057,563,450,475,536,559,728,276,485,250,128,696,037,020,473,
622,948,758,522,643,009,126,027,940,283,729,819,479,939,589,436,314,498,850,
298,101,432,336,646,761,300,987,698,324,403,111,531,879,413,194,909,271,263,
130,829,336,288,003,892,709,353,030,528,596,798,072,082,016,833,646,650,514,
860,224,128,313,073,004,596,876,796,909,515,484,563,663,565,080,405,053,364,
725,662,864,632,440,598,865,230,988,079,022,892,402,814,167,259,224,703,486,
824,712,748,341,773,526,776,070,992,263,283,092,381,021,021,160,634,613,930,
935,410,495,030,234,813,220,077,066,182,888,857,221,590,796,985,791,374,931,
473,723,048,152,669,131,060,958,581,555,531,381,093,707,890,069,781,685,887,
126,771,842,880,749,576,519,819,861,784,767,814,197,691,921,408,159,111,712,
751,768,599,430,840,692,356,256,789,102,777,438,290,634,767,169,428,338,832,
839,909,082,896,884,289,686,323,327,626,293,275,616,284,151,684,127,666,138,
325,282,046,856,089,330,545,926,658,475,922,539,912,029,995,436,394,015,129,
811,872,451,244,169,115,961,638,486,532,586,611,921,336,363,284,069,966,516,
250,372,619,334,231,295,312,287,641,639,581,941,741,079,322,203,582,963,290,
772,702,613,685,829,339,741,982,319,752,826,230,115,784,844,561,887,272,686,
668,486,476,548,847,140,960,181,172,806,813,355,517,351,613,977,744,313,353,
707,397,710,992,701,643,465,826,425,077,484,133,752,361,995,264,730,621,297,
910,027,246,415,072,747,225,272,009,355,354,700,606,779,237,696,995,270,163,
458,285,157,051,003,979,660,733,420,350,692,462,047,461,574,598,499,101,046,
147,151,375,299,780,274,160,338,187,314,780,641,954,232,417,269,921,030,521,
201,358,825,557,971,016,657,230,494,602,571,522,497,187,196,312,381,326,295,
958,499,225,059,634,538,383,793,422,154,500,030,121,895,379,071,723,389,750,
907,372,931,924,601,631,665,029,571,927,067,247,698,537,256,737,051,884,785,
450,160,151,559,647,724,101,659,572,196,577,387,166,255,747,818,092,235,987,
990,377,983,121,319,203,118,168,635,415,889,441,727,265,817,969,357,764,445,
609,732,453,323,525,413,003,053,903,710,891,917,780,767,966,890,611,761,020,
580,614,496,812,131,769,363,455,268,627,437,127,444,886,882,714,696,452,774,
778,359,705,280,899,179,377,913,023,277,064,798,232,589,906,123,388,688,176,
882,127,535,987,154,666,402,345,281,325,102,238,472,383,761,623,020,998,412,
782,377,471,836,512,758,085,821,439,551,000,642,781,452,535,730,863,148,240,
997,687,342,924,527,100,944,550,053,013,922,861,160,756,918,731,821,982,836,
090,919,281,308,784,351,258,478,666,852,922,964,312,862,849,308,496,340,275,
853,610,243,332,825,418,590,660,574,264,888,595,159,386,013,760,623,617,357,
241,827,897,376,292,704,441,264,911,322,891,624,911,840,526,800,317,574,355,
217,512,970,275,061,620,488,834,049,462,125,532,541,409,563,462,667,868,901,
724,626,110,600,134,516,472,105,843,973,704,140,576,088,468,181,074,638,243,
022,805,804,110,402,561,964,213,730,315,195,943,625,125,808,704,743,443,429,
278,295,478,561,986,764,535,678,442,623,661,013,246,233,727,834,132,255,919,
135,135,081,614,640,402,547,389,482,299,201,069,235,840,217,197,528,042,912,
014,862,003,748,948,856,480,399,874,130,416,728,571,069,636,912,428,975,005,
910,585,551,646,386,249,527,121,120,188,499,479,413,866,677,678,122,056,803,
570,910,199,132,249,345,320,622,315,490,932,487,501,484,910,564,841,354,683,
296,530,716,323,609,892,618,699,163,945,019,419,313,872,481,680,221,650,053,
580,599,065,439,231,548,918,592,960,042,212,035,969,648,028,273,368,033,823,
212,530,572,995,188,554,063,406,961,722,156,935,201,191,015,107,412,947,743,
642,913,014,601,945,931,578,457,841,049,502,326,498,299,258,692,882,849,497,
584,915,295,472,808,254,659,309,756,382,969,916,209,341,895,696,906,338,935,
471,628,757,926,906,162,802,226,328,168,841,052,107,319,662,591,650,920,105,
146,698,312,813,560,690,588,106,814,330,550,035,570,816,901,867,962,456,886,
009,699,771,432,046,285,381,548,756,084,775,616,689,139,197,586,686,995,870,
585,202,637,761,181,645,389,200,256,468,130,239,533,873,763,001,622,073,829,
303,711,312,464,327,981,584,546,718,084,714,552,398,508,129,371,421,714,712,
912,693,987,062,354,133,619,471,769,357,789,939,764,851,971,006,828,026,480,
089,969,857,220,958,359,371,764,731,305,485,086,126,257,095,354,649,974,894,
991,121,131,153,253,990,378,788,640,523,747,656,889,525,177,299,794,017,279,
173,965,422,584,624,370,348,644,845,431,158,696,505,529,422,998,100,798,802,
024,704,534,261,401,758,270,084,724,414,192,980,774,735,460,971,176,912,905,
147,906,620,861,283,171,926,986,555,639,967,533,023,120,752,698,225,399,808,
698,873,137,393,734,146,461,454,719,845,361,435,692,787,337,256,625,089,211,
608,707,192,459,484,936,776,252,603,232,224,576,510,956,414,845,571,293,406,
934,206,638,513,110,121,436,249,229,258,495,394,244,342,763,922,948,168,326,
521,592,703,034,462,553,176,655,532,612,351,257,417,603,149,583,727,493,644,
357,779,909,625,582,932,455,794,425,612,579,038,259,683,924,179,456,682,093,
466,147,991,014,269,031,913,632,698,782,448,676,084,468,558,077,397,543,773,
056,400,035,788,225,576,073,767,416,344,459,889,340,328,033,685,834,173,574,
472,525,437,343,357,349,128,742,425,942,898,394,683,085,572,404,867,626,527,
964,854,608,981,133,941,263,647,771,227,744,320,982,458,290,628,351,083,643,
216,001,061,966,727,598,102,710,588,924,446,259,934,486,094,446,095,974,979,
624,467,984,331,079,136,849,363,955,252,098,623,517,961,714,878,247,424,025,
379,284,642,199,978,955,596,424,201,457,409,219,000,354,876,372,964,136,982,
259,474,903,830,912,287,007,373,737,233,947,260,234,368,391,214,449,337,697,
618,191,178,280,608,462,158,622,655,248,325,339,695,084,855,050,593,774,601,
763,389,873,835,464,468,963,123,809,197,563,520,547,706,056,835,349,403,008,
442,892,768,972,898,261,207,366,177,462,954,744,167,150,904,531,082,020,207,
390,114,368,630,762,797,800,231,877,672,173,677,177,723,179,310,897,882,064,
552,452,396,228,874,278,619,265,407,691,461,755,866,430,504,373,732,010,573,
866,417,036,916,334,679,286,340,702,174,870,946,110,194,169,985,872,663,151,
597,777,939,164,182,920,705,746,284,733,791,419,289,885,316,941,889,944,028,
006,840,282,607,383,687,119,280,466,597,028,766,750,716,218,663,907,982,494,
286,028,580,171,962,100,878,526,875,716,409,055,781,055,816,074,613,609,258,
969,154,486,811,771,284,740,031,041,161,409,634,024,225,352,762,747,032,693,
362,693,506,766,841,847,873,736,644,895,720,049,872,078,030,151,317,717,777,
067,492,313,445,159,344,724,635,563,817,463,791,640,821,280,657,051,910,644,
430,460,126,348,201,678,989,925,203,278,455,116,429,318,003,875,582,282,202,
806,203,030,431,379,480,835,769,943,852,726,173,948,615,256,180,947,112,647,
235,870,852,138,794,410,470,327,761,090,321,501,314,908,944,010,322,445,509,
969,279,525,652,097,113,173,224,296,479,199,226,299,355,870,868,515,508,189,
611,560,294,150,024,679,341,484,288,902,690,359,285,685,779,545,760,308,204,
735,879,142,554,748,638,163,393,657,512,872,155,345,338,405,112,411,798,004,
306,984,543,780,955,359,276,583,167,976,934,807,479,200,331,734,447,316,506,
711,652,009,088,342,949,960,105,457,174,766,820,578,585,583,940,850,575,387,
543,195,077,140,294,953,802,598,939,830,787,897,264,289,678,628,598,005,701,
750,691,757,086,339,672,851,544,335,481,878,349,386,967,422,837,115,961,083,
487,782,270,888,353,257,068,042,824,757,850,527,457,288,438,464,633,940,725,
464,906,760,083,724,743,739,066,556,027,087,307,041,697,497,718,021,922,606,
067,335,768,932,442,050,864,463,893,802,349,037,206,418,507,375,585,984,711,
601,774,495,919,852,527,528,055,598,314,434,873,453,613,751,683,770,235,090,
049,847,575,685,250,597,771,836,324,460,134,059,733,562,880,845,010,858,042,
694,213,972,478,424,524,883,137,594,238,548,096,421,683,858,079,801,641,823,
638,500,342,880,658,510,549,547,455,375,036,346,728,962,450,086,369,132,070,
767,475,893,815,718,345,753,036,100,912,567,286,928,449,784,114,614,257,410,
872,416,020,770,041,640,299,141,961,272,188,291,046,969,368,565,084,799,947,
129,450,018,514,991,279,565,601,890,164,478,143,459,478,644,189,363,645,457,
318,478,870,415,354,326,851,472,309,811,624,098,332,306,751,765,138,815,265,
595,991,004,742,384,015,574,235,221,955,015,766,191,344,788,923,284,229,154,
929,439,965,398,064,461,018,920,505,944,682,014,587,431,381,084,632,595,560,
680,734,591,086,428,805,564,873,419,487,745,200,027,090,996,795,255,461,785,
450,721,492,340,496,972,850,086,792,740,560,998,272,066,233,766,551,337,031,
342,684,239,785,268,203,643,044,866,097,977,955,906,167,964,008,961,400,432,
923,294,104,933,437,618,461,905,788,199,167,821,995,804,983,584,942,540,297,
422,511,481,316,624,833,299,595,702,125,682,810,828,133,182,030,124,512,814,
574,206,964,442,221,632,355,149,485,019,841,220,152,606,785,697,082,862,667,
213,408,822,825,600,883,017,446,368,155,842,435,332,258,520,436,361,714,292,
791,422,308,600,927,687,614,154,196,044,397,958,076,088,047,347,616,557,552,
833,845,820,339,822,530,433,148,010,895,583,779,525,198,999,244,201,041,030,
663,226,902,483,132,354,666,012,880,888,156,177,516,654,225,034,425,396,457,
167,662,577,509,077,825,408,947,568,848,515,919,857,883,671,973,750,295,062,
784,386,398,965,858,360,470,601,637,394,356,684,964,006,593,470,700,844,004,
320,680,383,948,961,225,646,135,827,976,712,866,186,738,204,500,613,937,920,
969,554,742,783,063,182,632,252,355,899,879,326,141,854,639,681,603,403,412,
903,663,173,372,967,455,194,200,667,828,239,820,379,101,279,419,683,783,026,
124,380,362,317,307,404,375,653,606,905,785,397,518,890,931,801,718,074,878,
277,368,390,614,763,553,179,206,379,818,847,032,843,189,544,396,951,606,332,
869,659,976,837,598,123,845,845,863,357,926,962,801,693,212,548,381,526,390,
220,310,755,102,082,779,734,610,033,389,294,461,496,676,841,732,580,458,418,
952,419,540,390,464,434,228,071,747,173,095,548,962,805,948,890,722,575,748,
049,244,535,119,114,909,128,684,453,021,500,008,477,447,724,617,162,630,521,
180,268,418,201,308,375,720,601,874,257,066,860,171,723,673,451,309,627,893,
449,020,897,427,349,256,921,454,964,067,923,682,734,658,097,377,918,175,969,
710,421,755,998,999,317,379,054,869,418,787,755,098,556,252,269,690,412,886,
203,581,797,109,149,199,829,595,412,953,745,938,500,412,089,428,018,927,357,
686,969,924,290,114,452,326,712,886,616,413,291,847,190,270,550,619,480,345,
322,436,085,690,453,330,351,542,034,431,618,777,847,805,917,802,367,851,369,
003,361,316,954,745,543,321,199,438,008,452,405,171,334,364,200,889,334,621,
898,922,685,946,237,765,563,798,727,576,041,510,234,320,459,457,176,456,587,
820,472,725,386,170,813,765,264,920,998,584,248,399,264,412,070,607,803,756,
718,963,942,809,645,003,112,002,238,557,097,385,847,811,272,419,387,900,713,
401,194,464,796,704,992,363,656,740,109,816,318,008,564,796,750,308,993,260,
418,514,796,506,053,013,011,744,100,692,033,579,813,348,499,596,264,544,885,
960,462,951,253,774,451,668,572,806,624,987,002,603,895,363,279,284,809,957,
462,757,005,343,331,529,441,729,006,207,931,355,577,681,622,632,833,677,192,
979,652,616,938,739,300,626,349,025,303,508,700,892,789,767,520,216,558,887,
250,367,906,942,990,567,560,842,157,993,680,006,548,750,343,120,021,495,956,
717,091,620,239,671,127,167,941,916,158,630,950,563,410,840,535,810,823,965,
537,513,814,051,018,466,442,461,503,975,082,514,784,671,080,262,350,140,328,
395,944,181,668,219,959,962,302,336,227,164,259,408,216,466,728,304,959,867,
278,684,198,428,321,476,918,807,234,252,827,470,732,694,376,053,845,059,309,
120,604,122,238,263,856,895,726,650,999,820,797,124,269,764,568,769,295,695,
148,757,188,803,660,623,551,671,505,965,416,570,018,600,489,243,711,632,148,
294,307,413,990,685,237,868,061,748,234,844,193,723,461,569,397,803,870,093,
852,315,515,326,914,169,441,919,563,989,848,076,690,250,285,994,596,436,947,
759,052,446,440,620,428,846,896,169,118,768,233,429,570,456,361,621,915,705,
617,428,096,816,674,402,883,936,787,104,200,608,692,309,622,932,143,240,700,
900,723,994,766,278,539,175,498,534,725,925,930,275,802,259,401,769,221,986,
694,242,734,582,508,794,354,348,613,447,567,937,680,320,320,833,938,613,679,
663,795,968,454,624,733,675,791,905,463,699,499,415,596,249,618,021,642,661,
471,567,509,462,407,374,789,615,273,225,985,810,014,592,632,237,449,970,024,
657,745,506,667,239,018,951,506,478,303,142,827,130,065,346,191,923,456,726,
580,348,794,457,349,701,648,457,206,307,513,455,107,605,554,379,404,993,299,
739,974,129,936,482,809,715,995,352,152,310,000,887,574,142,416,819,872,832,
844,163,333,683,581,476,002,814,196,626,596,329,527,164,440,512,027,462,189,
768,599,444,773,174,794,607,256,134,658,956,151,845,078,067,316,106,624,824,
432,604,099,237,730,005,691,913,908,595,595,619,190,422,083,944,291,418,876,
284,987,280,226,819,643,088,894,436,808,917,999,588,649,092,105,303,854,682,
248,066,528,420,053,268,816,088,946,903,183,394,175,258,861,672,400,084,130,
087,210,518,336,118,297,817,571,136,085,631,919,287,938,979,352,420,649,320,
819,092,712,472,936,723,345,656,131,210,960,345,835,132,788,159,404,185,672,
591,616,471,422,055,057,308,626,934,817,472,743,278,602,665,862,766,814,068,
282,339,316,983,964,049,489,323,134,856,687,763,949,559,963,238,758,441,151,
814,437,370,552,283,690,541,394,345,600,540,758,299,372,959,179,004,855,356,
800,118,442,782,286,500,736,581,269,767,773,626,516,104,578,492,391,807,739,
122,695,118,874,355,818,984,015,389,338,922,850,674,796,184,965,715,096,809,
181,856,522,356,442,070,471,477,511,782,031,750,675,997,693,669,759,832,634,
196,989,714,063,843,966,332,587,010,475,094,855,932,205,529,319,842,752,901,
599,303,854,534,463,858,389,240,199,818,131,513,530,081,193,108,391,558,919,
534,200,904,907,925,696,669,269,082,229,252,479,302,679,895,637,529,480,892,
528,878,481,101,053,158,130,832,947,214,374,966,861,580,557,446,626,305,971,
165,806,746,010,145,667,533,096,038,596,023,270,101,635,864,161,606,634,735,
721,399,515,029,004,093,571,782,955,335,728,810,747,944,327,465,845,477,553,
261,539,103,423,700,416,006,842,937,323,552,355,557,353,836,998,097,170,933,
654,249,788,643,570,564,869,089,054,410,171,211,591,670,547,379,507,540,056,
081,124,034,967,838,488,448,176,833,949,894,692,445,247,463,203,979,924,533,
993,659,668,194,526,633,995,181,032,193,849,351,696,665,766,373,877,616,167,
905,627,143,218,845,446,336,470,558,349,640,662,911,775,261,376,793,087,516,
522,525,499,123,221,427,086,784,723,338,672,338,600,337,412,143,642,193,855,
200,198,360,453,923,808,197,462,967,606,096,295,251,381,515,026,988,734,864,
487,205,105,107,481,216,502,564,714,595,753,433,068,798,813,798,441,978,625,
816,330,386,352,216,812,528,726,311,979,453,240,792,574,630,124,558,694,528,
636,674,178,098,207,469,463,860,821,007,271,947,667,866,767,483,278,117,816,
237,846,763,351,180,904,212,766,830,433,511,865,205,033,157,452,850,749,080,
394,459,904,032,383,517,071,609,291,605,902,842,285,853,570,834,307,543,670,
192,450,857,040,343,252,034,637,578,119,668,710,824,455,135,888,087,499,033,
572,225,241,353,981,503,292,357,868,386,186,861,581,103,578,391,827,953,895,
186,674,556,634,343,914,369,523,324,197,353,722,051,718,329,460,448,547,333,
257,535,570,187,984,552,046,860,581,995,232,602,860,704,252,893,194,658,291,
707,058,678,124,710,228,062,053,615,384,333,584,340,928,741,563,971,266,056,
992,850,904,125,906,553,090,943,631,405,941,952,257,989,370,558,370,832,664,
625,690,974,557,568,692,965,394,454,880,556,099,675,708,997,678,590,037,103,
477,307,499,816,925,303,332,906,684,317,672,967,637,003,826,544,844,998,172,
953,021,933,489,623,571,413,817,521,252,465,203,994,564,936,602,564,883,962,
902,244,499,227,867,678,918,499,466,894,587,262,999,701,910,140,274,668,402,
666,961,206,001,620,304,551,622,785,019,073,819,585,326,246,609,862,937,990,
719,271,206,546,500,845,168,147,102,298,986,033,270,199,336,103,267,940,313,
019,735,848,041,433,043,024,763,600,817,546,275,716,499,918,955,431,922,810,
476,372,743,423,262,004,801,100,162,830,917,264,572,278,888,526,799,678,749,
768,222,380,944,289,548,679,540,881,304,013,344,471,859,384,243,016,715,598,
234,523,863,208,175,693,290,519,743,736,727,559,957,666,093,728,404,546,326,
176,763,259,152,356,048,888,766,125,366,197,253,899,517,973,388,945,543,727,
786,891,274,830,877,652,535,088,903,272,849,639,995,682,887,632,593,701,309,
273,982,999,124,785,260,151,064,080,592,641,590,400,777,040,662,238,107,813,
565,999,937,434,568,086,350,047,188,308,065,479,982,144,192,932,817,992,323,
022,525,008,656,368,816,486,491,515,605,680,494,785,319,122,265,579,917,599,
926,674,868,022,662,241,233,012,523,276,668,299,411,802,223,137,032,548,165,
137,705,028,307,572,381,590,665,468,401,936,432,556,507,463,847,205,710,522,
812,853,480,853,126,306,904,200,542,938,088,497,387,865,847,471,223,343,179,
107,234,942,769,880,060,581,388,393,689,394,793,707,361,524,218,258,792,349,
307,754,441,220,040,965,618,797,078,487,098,859,377,419,994,942,930,571,042,
770,707,559,526,886,748,498,016,747,782,573,027,024,343,769,736,109,254,475,
847,378,896,598,493,660,476,004,095,524,083,402,324,476,646,646,058,098,961,
581,738,511,944,210,866,110,730,948,801,964,578,578,305,563,681,760,621,225,
383,072,382,348,392,657,013,204,204,349,556,655,569,675,604,156,601,313,370,
305,004,874,800,832,371,916,754,365,284,557,038,268,402,964,940,531,239,190,
356,572,407,155,132,215,606,592,233,625,542,408,191,544,946,081,228,794,282,
581,538,227,209,560,429,674,598,700,482,060,670,490,872,281,095,110,032,426,
015,866,216,788,119,805,413,545,938,301,495,045,267,678,576,291,888,325,656,
434,303,354,078,059,279,602,578,267,852,430,072,589,858,451,696,847,343,528,
240,285,062,031,968,084,508,205,732,580,673,232,893,725,228,658,255,869,525,
609,615,062,109,540,583,162,856,489,336,286,218,923,226,847,060,578,629,756,
640,907,275,886,068,840,762,798,545,118,892,455,077,795,276,121,076,468,849,
013,744,602,216,995,714,514,744,374,759,312,250,465,296,428,870,915,589,052,
244,483,813,946,725,277,678,901,381,682,563,234,343,419,708,182,749,799,348,
030,137,660,821,267,657,114,344,285,728,741,041,236,181,520,522,840,344,886,
286,536,933,002,752,058,075,719,519,412,996,515,368,954,929,308,629,964,741,
378,740,938,678,625,615,419,081,784,345,080,629,434,969,041,025,896,070,702,
871,429,676,932,599,912,430,589,174,570,576,921,282,114,662,688,625,366,294,
925,113,126,647,541,316,896,043,200,206,853,716,655,154,811,132,350,921,345,
388,494,166,294,992,743,382,104,466,614,933,674,329,467,729,435,868,791,693,
750,710,409,566,722,453,359,317,105,760,730,104,651,302,352,452,012,344,126,
050,758,529,915,713,734,125,300,227,690,461,912,395,919,721,841,553,117,933,
708,123,238,835,711,214,060,879,000,810,857,690,391,041,482,468,777,717,589,
176,331,090,312,072,704,423,917,816,357,651,922,005,532,824,031,607,299,805,
717,039,252,587,955,828,682,540,343,594,789,662,918,604,819,437,847,154,703,
431,872,554,599,340,969,500,919,769,058,317,667,850,249,153,648,311,388,477,
205,306,602,826,491,798,406,193,677,873,105,435,226,911,880,225,394,237,638,
832,186,268,506,243,319,624,722,922,243,072,668,649,966,234,993,162,275,825,
124,477,609,861,258,602,697,177,939,469,279,173,792,047,346,855,611,327,934,
795,428,837,679,019,665,441,639,056,033,424,958,509,220,410,295,923,686,937,
729,513,974,059,072,310,672,544,502,438,243,659,280,132,338,172,039,995,345,
847,514,905,504,967,070,173,417,273,758,265,091,425,148,179,654,554,969,014,
316,336,029,339,266,743,166,442,029,009,507,792,642,649,721,350,951,158,388,
234,794,007,875,084,244,846,688,083,593,864,634,694,302,243,296,734,943,743,
010,263,679,780,744,845,476,913,503,528,210,835,061,411,906,928,534,749,648,
973,518,501,446,263,157,341,041,765,393,892,807,721,144,697,147,382,296,884,
639,186,518,536,985,387,932,204,451,850,617,409,725,348,595,465,720,115,966,
031,302,692,984,093,820,254,734,169,690,289,531,743,441,908,672,755,697,322,
574,217,055,970,497,837,304,766,317,544,762,168,626,196,125,219,342,123,126,
866,262,258,051,132,725,156,194,694,904,199,785,339,834,579,322,593,713,511,
054,104,457,596,458,099,257,933,305,539,721,699,108,584,459,443,481,738,222,
821,142,527,306,019,191,692,102,464,659,760,608,097,604,492,983,771,756,409,
148,398,376,233,224,112,516,371,265,342,125,311,107,536,834,146,607,350,969,
451,237,967,058,917,082,744,243,057,366,840,468,338,094,057,076,245,980,224,
607,733,283,511,372,716,406,894,444,667,844,003,955,297,324,542,168,132,516,
802,605,438,193,172,873,105,484,209,479,913,204,657,440,916,303,316,097,188,
625,307,278,113,044,696,002,243,970,644,511,974,440,545,058,964,026,102,950,
588,831,700,860,652,184,770,071,686,320,574,280,848,821,230,141,197,689,460,
923,772,145,221,491,710,718,201,373,920,503,363,875,981,352,721,234,908,415,
322,604,000,983,421,904,187,564,457,272,730,530,929,184,859,516,570,221,082,
438,746,242,154,688,231,468,424,156,770,379,548,086,239,004,448,787,073,827,
300,875,063,063,591,398,296,394,713,759,368,542,865,351,052,283,175,602,464,
981,948,481,573,161,911,709,796,328,119,087,871,769,353,591,005,945,366,939,
124,319,002,371,910,546,209,086,760,493,447,445,575,804,682,614,054,089,176,
345,565,025,672,812,848,554,448,971,862,348,534,671,719,089,133,263,458,395,
655,793,047,629,674,204,686,754,844,892,336,295,570,661,331,490,358,386,541,
909,966,263,342,378,058,810,664,633,630,920,329,334,829,871,122,294,931,852,
169,646,943,366,850,034,476,954,521,998,670,284,230,161,022,074,739,515,221,
351,204,161,993,634,663,127,835,111,995,346,269,962,404,609,679,676,163,253,
785,258,132,373,927,375,465,069,755,704,777,881,947,143,452,299,204,852,696,
465,493,595,789,065,723,061,520,609,396,303,449,863,588,341,528,240,862,444,
222,561,662,840,712,415,522,795,065,065,755,024,507,999,191,010,183,107,202,
238,311,735,683,657,399,385,206,192,067,052,316,523,123,085,894,270,621,080,
450,496,087,678,803,624,161,762,622,895,413,449,431,424,667,862,574,863,889,
818,742,580,812,398,656,067,968,917,007,912,930,648,615,952,102,770,236,869,
087,961,378,440,812,904,279,730,282,586,956,929,145,206,824,801,077,789,078,
218,284,086,144,555,383,683,706,233,715,125,147,535,006,148,238,380,712,333,
523,529,470,658,130,667,787,099,527,039,839,913,930,362,741,946,453,223,808,
766,825,690,200,158,021,778,849,661,772,069,028,971,264,744,613,006,614,447,
934,622,650,496,785,620,944,578,684,012,625,287,212,738,906,241,543,557,186,
430,644,683,177,647,094,120,010,517,754,853,101,514,860,823,004,463,009,510,
362,310,769,998,755,780,565,760,718,985,167,283,143,113,901,534,068,684,390,
023,733,011,454,012,228,739,086,655,546,902,102,235,208,926,903,142,834,832,
246,432,423,967,978,584,850,520,751,736,942,124,999,526,849,068,838,233,558,
218,733,702,741,135,687,429,555,670,692,975,453,329,913,954,440,066,087,562,
969,370,367,051,977,000,457,891,686,785,808,020,922,988,440,276,464,597,335,
638,441,970,782,268,101,412,476,101,086,905,022,363,198,481,142,769,825,780,
680,007,495,804,286,638,129,967,212,220,017,693,982,086,438,492,566,368,655,
821,039,183,797,658,268,933,391,910,723,153,765,053,953,776,460,546,106,566,
481,775,927,963,321,086,201,747,209,092,320,679,790,753,115,023,804,843,833,
315,052,979,939,327,434,764,064,015,708,683,248,798,955,941,989,450,158,584,
202,977,794,874,885,380,587,401,176,102,089,796,535,620,707,452,720,594,467,
787,500,487,684,986,255,554,291,722,271,263,160,110,630,152,416,547,222,312,
954,227,690,322,068,340,621,454,120,270,468,443,953,751,491,278,879,823,572,
317,185,788,043,078,484,127,694,307,806,698,038,251,305,410,753,177,638,148,
086,250,884,374,386,126,274,950,946,638,785,603,239,690,676,100,134,004,584,
838,456,030,466,484,383,947,199,725,350,797,575,006,289,958,446,342,407,386,
036,111,184,679,109,282,101,837,719,587,554,485,361,418,848,777,050,720,614,
797,591,203,172,007,925,068,470,220,863,188,623,357,019,012,790,309,674,913,
428,309,285,038,283,924,626,638,955,213,360,763,033,241,097,779,513,993,188,
928,083,683,755,794,690,358,553,969,713,570,359,339,801,674,893,453,292,828,
964,788,536,792,618,718,394,435,256,780,823,819,017,603,829,697,492,213,182,
703,280,274,796,857,196,996,838,843,889,774,732,000,938,470,526,105,000,350,
208,648,386,315,409,221,373,790,221,888,262,583,734,612,525,959,848,709,894,
786,071,077,706,982,595,213,570,446,718,411,930,618,914,340,001,910,894,262,
378,790,416,806,058,719,549,495,256,311,301,490,530,014,933,652,805,336,299,
105,904,399,458,487,771,406,878,099,402,020,737,981,633,221,888,051,507,031,
859,444,856,133,765,142,405,415,415,674,159,833,557,818,621,465,965,617,914,
422,965,143,888,606,113,571,861,867,144,695,101,266,013,947,704,344,549,728,
162,007,232,744,518,783,489,729,569,499,068,241,202,817,515,251,812,758,802,
442,259,486,533,993,730,731,608,471,247,726,204,966,608,411,205,149,972,591,
029,297,346,866,636,416,813,724,654,361,513,712,703,547,681,437,382,791,427,
667,091,884,617,786,044,871,829,621,999,209,160,823,977,305,710,901,732,857,
564,850,370,969,967,097,258,902,914,868,412,188,644,158,871,152,992,755,776,
706,887,241,190,807,452,362,005,321,366,417,327,284,069,163,648,663,457,720,
350,864,873,236,381,950,063,786,429,934,614,541,097,495,146,309,784,372,271,
023,391,694,678,189,782,377,834,602,079,014,669,097,365,267,269,795,044,217,
618,295,053,270,694,057,143,973,431,279,680,689,853,313,037,203,329,911,536,
027,524,435,124,135,156,522,352,529,745,372,704,584,409,686,412,868,315,098,
815,439,059,662,837,374,045,571,127,292,430,845,547,113,820,776,502,714,000,
222,237,438,620,381,470,603,494,420,750,802,981,066,485,349,519,911,886,988,
602,484,113,320,140,149,460,060,646,772,184,177,383,746,624,316,239,780,895,
283,640,083,064,404,282,354,652,550,541,924,021,893,248,913,984,322,116,535,
819,546,802,019,096,564,418,293,410,803,019,448,198,460,883,301,753,784,935,
890,815,453,473,630,154,905,180,527,847,724,577,180,653,195,748,683,575,305,
383,629,366,871,893,060,469,018,820,053,025,848,843,977,457,812,046,419,887,
567,845,601,522,652,144,558,170,489,914,742,984,649,315,023,973,215,561,406,
328,125,926,879,800,881,614,850,105,849,388,044,332,278,622,923,981,737,127,
645,300,964,042,259,208,793,394,364,738,428,204,184,671,021,890,204,303,067,
717,575,953,248,451,408,366,772,452,595,482,068,173,362,184,131,392,202,604,
796,363,884,738,227,454,370,026,337,698,636,001,576,079,402,233,039,325,151,
270,769,972,736,606,307,698,404,838,334,814,270,386,468,002,602,242,894,142,
797,509,686,981,714,001,103,095,060,831,247,692,605,244,505,111,540,329,906,
902,535,134,092,592,435,830,856,545,851,335,749,943,202,219,159,911,198,314,
754,201,262,006,609,233,048,057,537,910,203,944,105,491,927,473,474,703,566,
163,887,358,526,218,385,056,054,518,558,290,608,209,655,953,464,978,351,068,
434,345,312,354,236,011,985,573,589,099,638,443,975,012,096,000,777,958,126,
573,901,235,713,185,936,682,513,243,604,162,548,059,031,369,397,237,090,009,
914,896,058,559,167,150,342,849,487,336,688,643,248,780,368,128,529,713,157,
981,180,169,973,567,053,765,610,730,084,161,262,785,830,332,524,914,508,213,
310,908,683,175,378,958,303,885,894,528,988,708,753,307,279,180,992,230,539,
429,122,745,624,875,636,411,794,622,287,810,231,050,579,570,568,067,609,737,
219,694,107,931,229,151,201,226,111,771,546,995,946,629,708,874,016,638,885,
012,832,011,666,795,455,404,433,460,882,002,564,255,097,485,689,211,620,830,
660,877,339,775,522,254,535,624,374,883,517,269,498,490,877,695,919,669,518,
265,568,533,213,961,143,793,825,017,388,464,360,699,292,654,851,235,695,253,
516,310,147,413,848,777,233,199,481,029,733,027,658,489,619,353,580,057,773,
787,374,115,872,292,198,319,036,686,035,929,508,219,909,896,270,777,479,403,
802,310,244,213,720,804,231,124,077,053,659,960,515,979,614,919,797,638,392,
621,656,775,315,241,929,581,037,706,464,023,225,791,879,912,316,557,848,797,
865,772,552,896,732,331,345,039,205,271,600,264,481,799,080,600,509,200,598,
076,935,956,355,492,352,968,309,513,039,007,715,963,684,724,885,408,833,376,
914,287,622,944,327,523,908,838,033,732,303,770,822,165,868,324,595,994,912,
849,656,953,193,375,161,909,731,419,490,848,454,231,027,142,686,266,334,355,
073,313,642,829,590,202,501,529,543,629,768,601,251,304,043,795,777,398,730,
024,396,829,325,188,110,315,266,538,506,277,313,046,535,230,672,459,878,109,
193,766,138,829,145,058,257,875,409,337,819,307,965,859,497,534,648,244,382,
040,401,686,202,842,814,804,149,025,677,078,934,364,708,668,374,617,177,934,
080,063,546,300,877,138,871,330,781,295,331,116,948,367,119,408,348,262,849,
536,840,675,787,247,904,548,442,639,401,493,758,252,701,544,236,852,038,373,
411,147,208,929,239,303,328,250,505,104,191,537,501,683,560,651,112,271,061,
443,401,992,788,180,864,550,337,134,507,098,734,397,582,158,198,139,235,017,
184,899,703,629,371,180,605,866,527,653,196,936,820,286,985,352,985,618,054,
997,175,818,241,014,227,309,580,101,348,709,404,152,838,382,516,973,591,656,
749,857,048,822,739,585,461,398,445,074,303,866,728,029,409,765,665,692,030,
798,371,914,444,045,437,084,838,583,096,607,512,150,740,323,971,885,804,623,
834,324,072,735,903,207,348,105,507,986,012,541,324,589,489,268,995,362,933,
568,436,722,799,381,450,696,355,336,911,718,096,411,159,176,839,984,111,140,
459,707,672,271,832,061,926,460,984,933,972,838,954,422,119,084,199,988,709,
347,455,486,258,488,257,345,839,783,022,267,568,934,381,748,923,265,791,368,
199,954,428,464,193,145,562,011,710,487,225,493,854,633,991,753,315,405,391,
438,574,004,400,664,567,044,285,401,017,891,554,422,226,104,114,672,115,474,
672,281,132,698,996,592,939,143,261,703,819,691,432,790,642,395,070,082,091,
137,101,734,481,044,091,967,111,155,279,375,847,210,125,603,346,902,320,269,
460,328,024,390,695,751,341,251,655,491,020,881,511,060,043,674,643,033,179,
891,827,812,295,717,255,315,459,519,120,626,495,139,783,153,990,466,755,039,
342,458,222,687,681,863,567,083,995,542,324,844,308,638,719,889,200,881,892,
298,452,158,458,613,640,639,045,230,692,830,344,140,608,102,633,649,901,422,
237,547,657,077,816,636,848,111,893,256,969,529,450,922,795,654,103,129,841,
945,409,538,253,663,320,319,515,800,726,241,059,275,815,312,922,213,894,439,
112,888,985,935,140,756,820,369,558,358,310,758,686,495,104,669,238,261,742,
501,519,449,297,488,495,870,588,873,075,416,382,472,369,142,961,129,961,906,
863,487,724,092,423,952,944,344,744,749,405,054,737,153,476,273,236,506,966,
619,805,751,505,816,173,626,834,408,055,853,137,107,998,987,249,633,284,981,
180,603,808,404,711,018,388,302,797,898,423,385,189,471,151,789,319,139,567,
446,215,603,344,725,505,160,863,564,755,548,971,807,474,929,831,934,369,061,
422,031,867,030,188,558,089,777,139,625,922,524,692,168,606,509,368,195,249,
170,475,668,981,899,013,141,149,098,167,558,470,225,019,305,658,191,196,127,
387,893,775,656,463,383,460,339,541,397,011,004,869,798,820,035,216,313,221,
830,512,570,052,087,940,903,457,723,437,586,798,599,656,724,358,657,598,845,
374,116,408,410,494,828,182,160,561,604,268,386,827,240,358,111,183,851,682,
783,805,656,376,340,814,068,578,104,511,014,728,455,917,699,960,565,121,073,
182,115,160,292,565,551,564,980,384,614,312,492,779,139,522,769,386,895,197,
883,405,989,873,461,166,533,332,888,074,691,961,884,698,199,199,595,788,515,
670,749,311,638,264,363,336,923,290,278,846,467,972,780,902,810,269,824,488,
023,434,422,837,707,155,993,800,159,714,495,989,818,283,135,965,195,724,246,
697,491,000,177,664,147,154,098,239,006,103,996,373,417,923,160,501,040,720,
004,184,560,517,222,607,045,630,171,337,330,512,145,602,732,933,051,224,067,
236,199,553,912,078,731,136,080,123,651,121,043,922,138,300,784,754,991,718,
357,177,898,619,363,997,464,237,539,016,945,624,119,122,680,100,584,286,725,
194,103,844,948,261,121,139,093,956,668,170,422,598,938,752,543,662,154,639,
126,699,383,334,237,188,352,631,433,270,127,312,950,698,798,728,866,394,340,
403,856,248,794,054,936,890,531,009,774,751,768,209,146,453,059,550,750,151,
434,589,991,107,909,765,732,351,171,193,200,750,621,379,060,724,276,825,765,
370,993,930,259,535,427,604,424,723,169,245,376,749,455,767,203,371,082,025,
887,058,088,746,183,200,399,495,167,206,439,303,735,746,559,048,986,717,877,
637,042,435,300,133,767,407,825,126,946,908,788,759,102,657,778,826,587,999,
240,302,776,116,885,073,818,585,733,951,268,430,777,381,380,915,478,087,849,
231,110,954,815,224,204,249,207,514,811,931,530,065,676,427,463,333,862,359,
129,185,386,611,726,247,051,941,695,152,312,162,941,801,302,928,720,183,578,
521,817,581,173,750,949,772,154,090,940,186,113,537,990,036,707,624,778,310,
635,929,259,554,744,491,559,456,040,436,933,064,395,248,496,333,830,902,662,
930,190,090,309,287,506,626,381,111,927,826,500,982,301,858,948,024,471,813,
430,271,488,223,092,253,105,946,578,249,621,482,485,936,268,747,717,432,044,
449,097,911,012,221,232,882,957,040,104,138,556,999,549,704,724,629,440,678,
674,484,439,796,593,185,113,941,338,958,175,504,437,549,851,843,220,456,992,
075,892,978,562,099,687,895,806,702,313,361,322,192,892,006,634,602,034,163,
106,972,463,473,537,971,482,349,562,211,180,177,328,276,992,622,703,588,005,
529,906,138,874,912,646,308,871,301,122,937,028,059,218,260,665,904,531,437,
555,204,622,569,555,823,772,984,466,970,173,767,429,337,301,125,966,250,111,
215,244,698,016,189,721,646,394,624,501,735,538,734,974,563,274,110,439,484,
830,799,582,248,817,273,773,131,375,275,242,560,303,345,288,614,106,396,007,
212,341,934,730,225,570,361,877,217,099,519,863,370,254,624,148,889,643,030,
494,966,886,375,978,301,973,142,178,717,386,192,159,467,674,797,567,850,810,
426,886,570,656,720,333,454,336,601,390,911,228,954,260,011,312,280,656,696,
571,312,038,035,270,295,526,027,975,000,894,941,952,463,681,371,572,057,990,
129,811,024,705,285,748,524,083,382,189,588,419,110,359,909,241,603,747,118,
632,358,367,932,968,135,240,330,053,915,823,128,009,696,168,859,443,758,101,
213,564,965,337,297,904,486,421,001,697,949,775,927,217,935,012,411,888,553,
086,578,393,796,241,088,356,442,583,801,699,837,704,074,956,729,281,653,669,
626,574,651,542,349,808,834,292,449,612,946,643,842,363,015,990,657,722,873,
006,267,269,874,972,441,634,830,801,942,083,280,252,663,826,158,501,164,866,
085,056,792,732,670,392,432,000,257,737,328,946,839,128,186,004,675,484,324,
529,730,911,232,049,961,177,199,606,875,242,789,996,015,462,717,064,823,962,
087,279,631,984,206,633,195,751,675,143,024,549,401,327,965,678,344,258,733,
902,905,641,008,705,788,969,097,924,407,444,920,959,431,474,054,334,746,909,
370,174,006,400,944,147,068,447,104,277,462,234,794,150,001,132,216,515,986,
343,504,260,793,767,867,774,943,055,271,450,143,431,436,659,278,126,848,298,
395,526,227,874,881,055,608,217,510,450,276,240,226,118,716,008,611,553,348,
884,034,043,183,083,841,573,363,663,682,491,532,067,776,063,357,269,850,114,
814,153,828,609,710,771,908,157,724,441,090,988,232,530,592,602,406,174,888,
007,359,904,724,732,969,145,649,226,256,347,521,302,343,220,885,011,887,767,
696,924,088,319,346,499,899,631,041,745,001,523,459,561,082,959,728,490,215,
700,190,540,711,865,989,841,060,296,741,330,779,511,390,715,057,627,910,338,
561,797,166,052,821,633,951,576,447,556,121,191,476,028,067,495,440,748,228,
621,828,688,401,423,241,769,917,410,578,820,056,665,177,882,542,938,671,111,
146,405,437,089,449,269,853,432,734,572,490,470,673,349,036,502,528,506,071,
897,364,640,763,700,731,728,854,030,832,639,101,522,220,077,982,725,229,946,
728,972,432,108,656,777,236,172,082,433,102,806,582,300,542,290,457,344,760,
361,230,977,844,552,012,491,192,243,777,415,553,987,882,020,827,013,542,256,
639,634,566,270,132,915,260,159,614,247,777,380,186,988,879,653,408,350,235,
847,512,660,535,631,104,424,086,357,429,087,151,375,899,676,851,963,616,338,
545,018,922,707,854,135,646,515,055,231,338,195,187,795,190,901,464,101,383,
238,618,214,383,889,510,417,310,088,140,227,970,434,789,555,544,083,444,350,
621,056,941,892,718,881,426,627,521,651,183,221,350,658,153,868,165,352,676,
055,291,943,185,886,022,904,755,142,812,265,688,123,945,488,512,172,681,588,
160,522,857,440,166,126,372,449,611,923,563,533,304,017,401,981,949,947,462,
456,898,800,959,212,764,553,959,685,779,471,066,822,433,262,272,063,104,153,
017,685,928,097,613,470,234,739,255,076,546,647,755,324,388,606,631,680,467,
486,959,183,475,614,241,578,634,478,311,831,842,772,717,792,840,907,476,086,
243,728,226,819,963,048,462,874,693,993,478,664,581,940,314,773,284,997,871,
793,658,399,986,806,911,991,214,772,772,111,053,032,217,902,592,130,223,991,
707,541,590,909,945,376,701,981,459,555,319,269,500,887,163,030,498,092,945,
484,512,593,618,990,594,911,733,226,466,089,395,927,695,663,481,865,198,611,
093,931,460,393,056,834,620,152,744,088,786,255,867,018,562,360,745,929,250,
936,591,830,523,191,424,560,204,307,356,585,721,377,492,309,652,125,437,626,
491,810,164,191,709,903,639,776,780,386,537,365,751,067,027,061,410,508,568,
335,500,786,256,837,765,094,315,588,127,763,957,548,498,652,318,269,481,162,
132,341,769,517,970,510,469,471,253,014,876,909,319,774,053,830,049,077,043,
079,163,101,420,294,294,688,400,776,275,742,061,311,737,057,074,634,956,796,
224,858,353,555,534,381,400,124,071,479,066,143,573,597,234,526,097,272,821,
789,959,299,429,183,466,049,018,760,996,177,490,764,742,605,693,403,853,878,
396,499,302,919,843,610,966,571,114,793,118,247,376,019,763,051,579,631,887,
849,075,782,338,237,005,557,670,124,990,924,348,647,619,968,093,530,625,960,
677,289,748,823,938,955,998,125,381,650,061,024,855,396,167,680,415,521,853,
989,060,968,566,132,204,761,888,095,878,349,609,927,924,511,210,030,663,792,
489,140,547,799,367,042,962,843,567,775,648,921,731,494,848,910,214,058,384,
685,079,517,689,303,057,022,511,764,932,633,833,585,069,846,441,609,163,709,
593,981,029,343,786,477,940,285,138,327,053,180,037,718,488,932,161,197,541,
347,864,379,147,329,104,459,586,055,310,694,876,734,848,382,362,266,476,268,
787,664,834,712,810,894,968,693,399,830,468,807,389,419,166,920,051,426,504,
914,221,179,619,581,218,404,426,181,667,514,077,688,397,619,749,065,802,399,
739,065,778,579,458,845,488,604,012,902,379,513,305,714,386,750,342,485,655,
666,303,107,141,714,227,879,303,083,414,955,292,667,275,891,885,559,190,305,
798,121,961,680,708,535,556,023,612,911,488,995,627,265,504,080,096,609,922,
447,966,048,750,031,006,981,227,638,786,578,130,907,337,055,713,805,709,235,
706,321,086,600,018,016,689,670,397,597,666,000,951,577,363,821,063,528,894,
043,231,568,004,433,715,444,276,818,766,444,196,337,098,186,574,610,266,337,
042,627,012,541,328,333,863,935,286,594,609,298,682,898,943,620,591,870,279,
523,214,216,223,765,920,725,481,685,427,707,444,061,545,302,980,894,323,499,
388,179,904,691,927,913,205,153,481,383,335,557,461,492,811,837,041,090,039,
075,764,559,442,156,230,667,924,260,914,816,029,872,796,224,991,677,182,109,
358,677,464,673,112,585,055,571,797,376,767,393,578,671,833,558,302,684,225,
144,849,691,671,148,921,280,625,494,574,930,142,845,485,085,412,464,280,023,
350,144,027,743,420,585,533,382,364,802,414,835,394,438,071,251,130,714,745,
851,509,080,800,755,882,031,659,770,921,740,961,782,743,040,958,505,721,432,
646,859,986,627,931,617,317,451,422,481,163,342,959,578,837,820,528,669,729,
046,955,834,942,831,874,407,597,741,172,782,676,821,985,579,228,169,507,720,
454,742,276,916,896,661,317,113,502,516,627,734,437,054,301,048,204,107,007,
544,386,957,794,858,740,295,625,368,707,931,810,873,934,084,136,205,254,241,
069,002,179,014,269,133,814,181,691,165,408,253,433,360,265,168,572,588,767,
336,378,802,875,207,403,198,713,538,561,899,278,863,659,805,080,846,740,453,
367,615,761,853,249,652,785,681,777,520,507,178,827,466,817,889,118,720,965,
773,095,986,082,954,228,174,663,814,340,553,698,182,210,453,490,524,414,229,
330,835,490,857,722,070,958,071,321,089,276,506,780,512,263,057,735,108,727,
119,653,072,365,005,524,913,738,955,458,209,487,510,897,966,859,803,195,804,
009,836,370,506,211,327,844,139,436,131,797,462,919,782,404,696,955,708,857,
841,810,459,536,161,173,771,295,032,906,464,575,968,632,083,988,562,152,057,
623,775,022,747,202,385,149,864,999,069,217,782,215,548,808,413,900,466,088,
204,705,624,021,133,983,212,356,386,845,800,466,149,693,158,911,102,819,909,
242,395,555,413,091,761,241,033,294,708,181,957,717,667,383,830,942,304,379,
808,305,325,031,283,080,912,935,493,764,500,748,240,023,427,156,482,411,946,
082,213,462,383,569,188,369,333,490,668,232,302,279,643,196,346,917,289,935,
504,537,980,210,169,128,520,007,434,676,649,017,843,717,842,626,840,143,800,
612,756,581,669,738,622,953,651,272,703,065,488,740,820,180,451,601,221,508,
350,962,424,267,537,409,704,794,948,351,933,799,097,141,167,728,318,388,482,
930,575,920,560,127,062,976,355,533,270,671,071,785,004,876,225,892,890,994,
060,220,368,354,588,948,432,052,490,407,180,998,267,697,365,853,166,664,138,
153,464,898,171,014,018,629,898,141,602,337,079,835,777,524,220,282,068,761,
685,537,150,105,057,402,783,752,619,537,243,338,719,788,503,144,574,552,722,
270,365,682,427,219,867,118,985,863,174,727,975,721,145,301,491,633,695,617,
867,155,533,677,121,586,032,745,560,567,544,109,907,406,931,695,756,525,597,
085,857,369,538,613,205,676,005,941,202,138,016,021,410,898,441,168,786,550,
702,129,554,099,320,610,743,671,069,289,233,247,081,202,159,607,507,055,725,
937,048,769,463,541,808,039,399,408,798,334,591,435,464,664,367,896,589,744,
418,100,014,616,618,479,022,111,134,182,479,046,211,972,318,341,971,295,436,
876,570,435,506,837,847,843,023,915,970,614,530,135,296,598,507,524,160,860,
387,006,427,508,348,738,348,340,196,111,453,652,174,260,056,154,908,353,635,
409,470,717,091,982,731,384,264,653,091,090,593,752,072,009,135,486,871,967,
670,476,226,324,728,248,596,692,093,249,898,259,730,156,075,908,879,754,312,
966,165,582,083,625,275,358,880,444,443,156,913,642,882,560,352,389,702,547,
647,578,537,432,552,350,122,261,782,547,249,389,293,258,179,435,635,383,902,
218,799,299,214,485,820,836,045,090,706,732,106,037,015,852,199,393,249,919,
525,362,908,129,148,650,339,251,042,290,898,850,668,720,942,267,004,027,157,
082,951,537,852,328,242,124,989,464,263,440,747,393,486,881,788,527,245,042,
582,285,225,074,427,317,041,533,624,845,540,088,117,962,644,621,031,212,218,
761,318,097,240,699,534,199,621,758,935,657,210,354,574,988,963,706,653,906,
082,826,212,642,215,710,825,651,570,217,711,042,893,163,523,290,871,323,901,
223,633,351,754,407,396,548,857,903,420,650,714,480,168,528,760,584,534,001,
863,180,437,559,522,381,028,317,197,938,026,988,057,735,292,369,915,116,717,
251,466,842,936,550,349,509,965,777,885,220,098,156,737,449,193,252,642,111,
658,432,799,392,913,814,091,643,634,697,166,943,866,283,479,458,400,532,072,
671,599,821,409,714,150,410,793,167,131,477,790,436,352,078,217,907,873,931,
847,389,268,446,052,671,730,781,540,665,602,663,153,327,672,503,174,679,627,
921,549,891,986,627,827,507,071,878,343,398,861,478,563,149,974,723,355,244,
144,715,606,225,657,156,961,095,789,596,044,430,657,654,137,372,389,173,235,
506,039,793,713,124,352,199,430,067,541,489,114,376,362,301,579,810,497,094,
347,752,678,656,735,270,019,497,064,680,486,702,967,045,976,251,071,628,650,
869,127,798,965,589,941,116,010,834,894,917,425,900,006,612,480,302,089,185,
566,235,363,562,250,176,592,870,909,823,870,193,601,917,272,133,028,481,432,
535,594,205,509,038,983,911,496,309,335,636,332,836,236,710,185,197,564,547,
141,625,090,876,349,962,758,631,980,727,706,706,847,461,453,739,609,716,384,
361,026,114,397,200,027,662,809,121,457,024,364,887,429,107,275,260,153,087,
099,840,756,122,251,429,540,874,709,813,077,974,461,608,188,347,264,181,910,
837,918,851,218,924,198,059,833,553,269,728,661,221,520,034,760,280,724,541,
875,371,409,716,892,950,438,837,100,327,752,588,408,048,544,867,396,234,109,
642,073,772,583,087,845,508,576,072,758,337,927,309,465,825,607,695,672,530,
593,479,292,410,790,859,353,371,959,397,826,270,705,446,576,262,058,189,895,
086,549,203,677,641,315,409,909,179,375,211,398,709,923,683,669,573,726,250,
354,819,323,852,309,275,022,686,538,860,692,136,247,582,101,995,548,220,279,
075,076,073,309,799,592,349,545,891,270,878,559,075,852,841,969,371,049,321,
014,292,321,879,216,482,714,572,987,290,098,453,542,592,510,962,309,679,636,
300,522,851,863,069,903,377,997,399,674,251,231,735,864,395,274,047,737,466,
810,172,152,820,039,210,477,006,846,291,045,294,060,202,063,880,917,344,053,
505,380,419,096,399,096,443,301,659,759,344,691,118,817,300,119,664,273,249,
132,668,219,463,715,631,855,464,870,802,264,473,467,300,612,947,777,021,662,
067,468,106,563,643,375,414,495,337,937,145,263,206,155,586,213,745,816,775,
351,406,450,242,409,818,768,062,964,117,850,043,955,075,527,257,751,279,763,
135,316,703,709,991,418,673,794,041,888,507,188,734,867,469,734,177,800,270,
230,350,611,675,449,829,817,072,185,746,287,641,283,569,061,674,464,105,955,
296,851,366,054,755,179,077,416,115,028,132,591,574,917,591,133,885,757,583,
883,871,654,138,604,459,015,301,086,086,963,078,428,415,656,532,056,814,063,
641,390,645,021,813,098,097,354,143,976,896,505,805,066,576,866,635,434,685,
974,673,803,555,501,256,104,228,759,861,372,883,557,189,404,169,719,925,505,
897,080,115,847,726,658,402,723,567,842,886,945,555,093,207,963,025,076,519,
962,955,241,149,275,836,383,797,030,146,887,924,172,931,962,542,918,437,975,
925,496,839,704,241,379,335,642,671,706,774,081,115,045,933,147,924,486,641,
888,375,253,335,071,134,782,205,156,546,603,053,730,350,753,013,278,008,795,
459,331,618,035,373,407,934,345,293,274,132,267,404,107,091,991,178,531,712,
335,001,054,085,753,608,668,177,982,457,865,047,227,847,938,109,699,181,698,
046,998,929,018,239,564,422,101,936,839,940,327,525,509,775,649,491,418,140,
396,041,612,075,307,609,020,564,416,848,826,655,363,751,883,492,707,114,850,
151,885,264,739,163,472,535,465,599,309,336,570,771,383,268,208,474,671,621,
725,968,861,245,681,255,718,327,487,231,679,774,517,576,873,763,393,782,269,
430,018,489,592,105,270,626,367,032,737,024,557,552,105,310,967,639,149,033,
563,894,573,375,648,534,060,702,496,419,251,915,200,622,945,227,689,530,133,
305,835,854,240,914,025,439,008,641,880,884,170,149,991,512,741,305,385,886,
100,079,806,367,507,259,435,535,792,735,958,799,282,150,954,758,971,497,374,
651,123,790,326,680,423,060,821,273,310,601,887,643,776,773,633,581,889,099,
203,773,717,770,993,699,335,301,127,746,168,697,885,378,637,266,964,627,977,
743,527,082,356,977,253,127,437,535,979,351,320,648,457,735,738,476,401,260,
915,727,551,784,393,631,602,075,120,563,817,065,974,206,928,033,195,374,194,
798,036,579,743,178,746,518,746,674,936,610,966,731,968,670,894,726,048,030,
547,276,374,812,236,706,490,838,625,214,505,943,670,322,819,050,383,294,801,
796,321,938,150,120,492,430,090,287,269,209,913,960,962,362,041,514,971,644,
914,258,161,409,193,210,098,432,516,451,039,455,885,889,243,358,440,358,824,
055,659,393,615,619,205,193,639,101,582,226,276,330,500,466,113,748,347,155,
110,845,935,743,407,527,746,960,229,883,788,087,036,915,526,218,981,210,422,
884,715,661,629,952,434,191,600,908,013,482,744,682,571,071,287,767,213,282,
251,754,048,375,350,474,603,322,472,847,251,900,247,692,477,878,675,690,783,
802,133,380,348,226,713,725,073,558,539,018,372,314,077,677,302,367,741,089,
779,293,182,312,388,829,169,672,991,490,406,821,602,647,061,476,048,532,830,
070,716,739,273,754,619,805,226,006,757,130,806,249,986,054,809,447,793,058,
314,431,874,346,915,082,592,192,952,881,940,107,339,936,705,916,917,538,760,
365,700,927,520,670,380,843,857,455,962,697,976,255,463,650,095,813,304,631,
181,986,268,043,634,112,879,054,504,372,316,165,430,971,709,175,666,269,669,
365,696,527,274,637,252,095,284,712,709,757,984,940,575,178,314,782,710,694,
138,652,386,686,535,954,303,694,408,131,922,009,055,438,524,392,334,496,904,
233,618,165,139,733,360,952,000,975,003,960,006,686,972,028,955,528,397,513,
840,210,050,120,891,433,463,065,407,050,484,699,474,201,622,906,797,160,820,
941,781,600,427,956,882,438,506,407,732,987,823,331,772,592,838,132,820,043,
467,506,330,012,860,057,901,467,391,044,486,522,699,027,649,278,819,132,638,
023,894,646,478,705,093,518,431,691,060,170,717,602,003,349,253,521,447,768,
906,036,072,814,498,325,492,652,564,094,938,776,448,671,913,747,207,976,348,
170,872,707,741,271,276,980,795,013,772,988,887,014,611,091,415,935,959,801,
666,842,950,238,212,800,219,894,803,919,165,225,859,629,325,726,549,266,619,
255,819,557,440,969,070,300,895,983,947,854,498,780,453,958,787,995,830,026,
493,338,646,454,886,078,696,385,061,790,300,103,867,099,526,136,864,060,125,
282,180,189,092,135,722,309,141,203,773,353,387,888,287,962,556,427,035,175,
848,132,535,251,115,707,201,865,794,609,133,827,981,137,521,068,786,395,641,
128,518,165,962,331,334,661,718,183,309,505,817,522,328,425,024,158,407,310,
176,943,685,089,629,315,388,157,499,433,836,032,470,115,063,595,591,821,929,
363,431,405,399,824,645,384,653,295,728,030,429,686,893,208,414,686,984,384,
968,647,655,495,927,047,946,122,451,914,372,771,922,254,077,151,685,546,402,
607,517,110,104,764,085,344,010,651,719,550,816,476,007,994,188,978,706,291,
400,976,391,044,579,752,033,142,472,598,855,816,554,661,881,912,258,075,176,
371,757,225,231,533,375,759,172,908,671,108,411,795,545,777,404,341,347,786,
575,951,654,679,527,216,224,138,114,342,780,071,876,217,276,446,969,354,182,
380,547,513,451,152,390,940,325,547,282,934,748,300,514,902,582,930,431,870,
843,289,036,103,684,924,424,285,677,895,905,928,020,486,520,169,059,162,722,
191,505,660,309,725,418,044,752,546,241,936,704,569,335,405,856,993,255,230,
919,176,338,335,419,938,802,925,234,661,814,790,459,626,913,843,297,592,539,
676,317,500,769,063,693,745,698,565,004,280,003,638,326,590,555,365,662,795,
053,615,726,179,654,043,456,668,967,707,198,970,537,501,794,500,733,060,720,
362,024,836,808,295,198,940,607,827,997,255,562,437,452,961,541,772,374,822,
921,170,576,020,073,200,467,557,841,946,076,565,470,919,122,711,411,691,857,
235,182,199,883,701,800,484,900,619,211,716,315,369,895,189,810,878,005,124,
967,953,378,004,598,851,320,709,756,159,855,107,994,199,066,949,132,000,607,
346,935,411,955,174,845,303,749,161,865,001,952,840,784,522,510,200,426,140,
071,658,966,702,769,559,641,458,136,819,570,988,274,730,627,281,244,587,960,
272,575,683,136,868,817,496,920,254,075,921,534,035,180,469,037,999,296,976,
890,287,840,956,908,313,174,826,801,917,509,143,701,378,360,243,410,015,346,
989,411,733,706,013,682,630,342,691,509,825,511,605,154,329,232,431,437,781,
806,508,009,017,671,045,867,277,407,595,695,139,289,514,252,411,121,272,023,
556,556,917,757,974,012,879,373,777,647,604,318,857,941,043,839,643,809,789,
869,389,888,717,378,335,887,443,850,814,533,236,252,705,767,890,722,404,537,
023,612,555,284,818,681,776,340,249,460,006,984,512,514,287,618,574,740,186,
699,325,980,612,071,743,974,626,174,555,104,430,325,629,246,998,794,414,665,
264,758,732,172,090,651,490,785,151,498,891,737,803,170,234,428,748,655,777,
312,311,512,497,301,940,260,721,333,100,055,218,148,163,152,890,659,492,875,
659,345,333,747,100,311,403,316,405,969,026,819,304,648,126,685,586,190,439,
853,188,262,062,871,658,015,248,328,299,792,969,454,561,663,125,781,459,710,
592,756,178,902,580,930,691,930,010,928,911,345,319,241,206,722,046,456,811,
110,613,755,427,022,822,926,771,644,160,044,499,700,364,829,347,075,395,784,
174,605,280,088,398,779,467,329,481,603,503,210,223,930,860,247,670,456,045,
623,608,134,399,789,339,520,723,018,337,531,780,543,210,213,628,564,339,350,
780,765,631,027,143,923,139,963,166,534,638,679,317,544,020,643,117,947,120,
597,846,565,773,770,998,479,072,869,895,977,236,024,434,474,871,845,508,624,
649,002,733,380,907,102,900,451,421,779,571,927,157,787,989,507,106,458,144,
112,171,655,117,109,262,920,556,162,593,649,979,579,902,961,196,160,298,390,
962,725,670,672,591,269,138,923,420,913,154,755,336,980,808,111,378,224,781,
138,062,516,528,423,632,280,248,178,978,159,928,594,242,044,460,781,163,775,
266,000,197,758,301,028,647,121,714,505,691,632,450,708,536,004,118,842,866,
710,293,875,694,241,516,029,746,837,356,002,319,035,586,655,136,163,930,534,
073,331,800,945,828,268,220,960,007,461,113,052,860,033,600,882,325,227,671,
402,594,265,461,785,239,363,058,985,752,423,442,036,236,249,034,082,429,233,
423,773,101,155,823,197,515,516,262,394,356,913,668,377,994,435,982,896,170,
935,232,599,621,071,382,629,919,341,142,751,320,235,066,702,945,698,528,083,
005,433,893,558,402,007,270,214,680,339,604,407,862,707,629,850,104,840,237,
907,448,730,608,632,538,226,961,505,239,712,538,437,334,089,737,852,547,176,
422,094,719,022,459,188,837,551,371,171,968,959,009,684,181,737,703,630,261,
119,464,526,402,231,691,262,358,351,861,378,425,600,029,055,611,081,177,800,
822,542,488,174,582,478,235,670,849,208,110,596,663,354,289,251,526,126,011,
015,381,572,638,731,988,162,336,875,976,349,672,356,230,915,746,797,877,009,
421,354,486,070,536,443,323,414,259,248,663,635,262,175,641,349,645,168,699,
997,315,133,554,606,529,703,256,131,790,270,493,386,487,775,808,597,181,486,
879,563,901,030,394,859,061,518,327,338,537,675,466,856,921,981,708,965,237,
408,014,263,845,189,743,946,335,551,830,648,633,309,892,438,722,975,792,619,
521,241,862,140,462,264,121,276,452,804,134,384,712,117,471,627,156,392,652,
314,966,886,215,326,446,905,691,822,235,569,091,794,668,436,495,119,593,766,
165,480,181,629,780,196,669,316,247,375,826,697,764,706,760,345,314,041,620,
903,988,082,142,632,771,002,480,180,637,179,114,305,882,156,933,002,459,386,
155,780,868,170,168,570,654,409,858,235,404,087,390,509,188,077,928,216,380,
791,866,333,059,289,028,825,305,874,692,640,087,244,567,311,941,449,506,008,
444,453,240,012,403,336,241,370,389,068,230,780,726,680,713,007,654,771,344,
274,000,716,259,821,016,816,687,151,974,535,049,776,316,115,702,735,086,109,
491,003,140,772,428,337,297,855,097,569,696,268,052,515,078,686,712,163,869,
271,317,012,405,247,834,204,409,504,567,355,797,142,027,211,392,441,666,294,
256,291,502,997,799,946,659,143,948,789,939,192,714,871,953,601,461,359,501,
922,514,736,685,137,486,654,489,935,143,982,849,605,761,553,310,407,343,600,
438,268,173,766,325,418,408,684,012,857,875,198,623,712,480,466,144,953,530,
540,560,992,644,552,203,630,419,480,427,000,770,447,260,737,582,748,276,580,
088,803,037,809,899,560,217,560,161,156,871,380,585,006,978,651,633,322,492,
076,710,483,031,676,793,802,755,326,418,293,478,405,355,994,426,198,317,491,
008,856,433,795,424,006,552,590,372,755,949,230,606,514,098,871,446,108,155,
412,522,522,000,983,773,838,731,508,811,884,497,817,143,381,523,863,415,585,
858,583,721,548,600,576,218,029,366,064,148,323,984,567,668,605,887,271,271,
713,209,945,442,543,872,006,450,411,702,497,789,388,277,632,224,549,757,295,
517,339,359,796,375,250,381,714,696,486,847,506,936,361,592,940,249,185,600,
832,654,886,777,414,667,159,380,903,538,973,739,013,898,546,999,452,085,179,
663,556,953,014,968,462,750,360,069,556,823,866,538,883,640,240,358,690,805,
479,323,812,718,520,205,144,329,106,342,896,493,118,742,600,678,712,059,056,
601,040,228,666,676,010,112,120,324,049,598,828,287,920,687,074,271,278,478,
323,409,272,371,656,441,557,076,553,065,779,196,531,729,094,031,860,413,094,
631,174,572,242,662,304,126,954,876,248,935,035,540,919,202,421,209,917,136,
217,543,405,240,317,073,859,621,425,286,933,109,190,407,150,770,118,724,311,
380,064,704,787,913,492,171,087,105,855,098,179,851,995,602,662,742,297,327,
628,778,559,576,278,102,575,786,949,579,695,893,924,789,383,036,424,681,944,
267,357,213,473,402,704,361,793,810,455,031,942,403,934,989,608,481,880,519,
542,960,572,294,083,760,685,907,738,231,130,114,167,581,266,898,071,192,247,
379,287,034,728,750,490,007,531,234,165,584,899,701,984,613,452,575,142,914,
304,843,462,197,287,884,913,501,745,852,653,258,768,368,624,872,996,203,066,
900,625,792,816,406,213,693,520,850,749,199,069,253,937,343,290,920,257,329,
894,582,691,698,609,682,737,705,707,426,841,408,460,622,373,555,623,943,297,
406,682,701,736,750,597,594,822,254,745,561,911,760,226,727,669,349,468,702,
065,502,127,712,642,292,882,537,089,658,564,208,215,216,802,558,701,496,550,
630,807,265,669,293,274,461,499,462,428,241,930,560,640,958,041,107,110,859,
698,132,220,681,845,667,788,763,804,640,457,632,971,738,031,855,534,839,090,
764,572,408,873,144,921,684,664,619,556,608,393,350,813,481,737,384,741,976,
652,102,826,679,963,132,860,576,590,981,266,285,945,299,317,036,595,235,283,
315,630,929,803,515,176,381,935,759,382,883,267,632,418,287,607,012,656,261,
560,693,215,815,631,825,571,546,010,756,575,352,018,538,368,824,974,663,604,
344,516,231,318,629,716,453,756,254,883,735,964,613,500,007,234,780,477,693,
274,354,081,205,316,700,090,677,768,480,939,675,664,778,688,847,597,338,995,
029,579,004,439,434,833,207,981,052,857,765,270,360,484,203,799,274,637,326,
033,645,634,236,216,445,049,681,932,320,305,762,808,559,704,887,390,539,530,
318,356,220,482,264,423,819,104,592,800,070,151,166,078,359,513,160,641,496,
582,952,155,295,461,131,238,271,247,704,149,836,957,646,083,927,135,388,411,
095,786,412,895,972,314,594,900,108,993,965,773,878,583,999,823,617,734,523,
902,767,900,099,433,346,071,479,260,359,107,594,732,682,427,000,275,337,096,
139,528,128,391,220,575,295,290,786,554,871,200,389,877,280,480,566,554,639,
424,824,307,977,887,428,025,520,853,966,801,580,227,651,827,818,855,981,891,
675,093,521,740,790,185,776,863,346,772,302,679,578,643,772,505,968,896,019,
334,017,221,956,727,546,607,865,197,710,975,368,150,180,174,860,927,224,707,
544,061,959,831,473,673,211,187,569,266,206,457,743,155,740,167,566,568,471,
180,428,883,538,831,395,821,936,851,484,069,906,403,759,794,318,595,530,822,
345,076,752,467,057,861,443,307,759,851,294,066,649,714,267,262,932,963,935,
896,065,487,888,215,577,663,550,357,093,262,996,806,721,703,529,585,562,042,
128,808,233,733,704,819,214,977,019,006,955,719,726,097,595,160,114,005,647,
685,907,047,082,689,780,355,849,434,455,506,530,068,186,399,137,524,997,558,
496,558,950,467,978,682,369,213,794,881,936,333,622,928,368,299,022,034,079,
443,822,337,292,424,561,855,178,558,321,242,477,884,192,925,145,485,930,357,
568,097,544,619,818,511,837,665,117,723,314,454,760,215,671,922,552,618,311,
634,471,379,295,939,880,800,378,140,702,228,506,687,441,115,593,390,244,184,
426,302,189,021,322,057,745,265,481,949,467,566,971,857,305,435,296,478,320,
657,729,712,528,243,257,606,955,685,396,223,548,103,398,987,421,123,777,812,
316,367,546,441,958,389,076,941,485,478,002,892,855,961,332,149,467,826,613,
250,136,139,328,588,948,363,070,303,570,546,150,241,452,452,520,104,669,607,
216,821,872,400,854,290,715,453,584,922,331,018,367,482,545,807,019,315,010,
903,055,805,553,767,350,650,778,237,432,525,434,644,997,301,198,647,117,007,
138,449,736,819,408,945,686,363,927,928,518,035,077,252,468,992,161,598,106,
806,875,106,960,613,078,357,411,290,414,027,548,618,799,409,940,695,324,739,
777,766,905,085,333,527,518,051,470,950,921,834,298,995,413,570,691,166,791,
700,467,740,875,285,161,315,686,696,186,287,923,868,942,851,934,997,654,188,
110,635,207,260,690,421,838,107,614,134,504,037,820,475,607,854,523,595,822,
763,171,302,956,607,150,614,939,103,893,284,103,652,991,189,301,224,192,949,
652,726,039,134,353,712,465,245,183,217,643,211,669,845,887,203,306,210,894,
612,785,230,035,054,182,010,092,265,128,469,318,969,956,116,465,833,911,042,
099,543,219,673,948,389,801,362,310,964,702,132,638,786,887,385,687,836,669,
365,175,312,144,270,632,860,160,813,068,363,363,981,580,693,446,423,628,339,
411,478,783,709,548,766,358,933,877,927,556,921,052,101,790,850,085,028,250,
169,101,097,858,930,982,704,499,026,628,199,183,127,719,028,111,798,826,794,
581,060,807,640,745,331,799,742,131,563,924,792,297,886,754,278,172,615,937,
381,358,451,159,873,363,618,494,272,589,452,419,108,303,524,393,946,292,017,
148,337,720,289,310,363,724,124,316,852,099,832,553,379,285,952,644,547,885,
513,559,701,645,896,896,477,701,235,283,086,171,257,065,589,955,681,806,140,
492,167,034,978,268,138,033,780,143,972,382,457,764,430,804,979,918,188,969,
162,139,254,058,010,421,371,618,222,257,477,116,916,327,607,087,830,863,783,
541,251,288,726,351,043,156,161,902,109,018,354,669,050,220,218,940,339,562,
768,128,958,724,026,122,057,147,676,119,742,576,512,102,377,242,256,006,328,
397,764,418,559,506,321,047,980,917,420,325,003,560,022,939,086,362,199,845,
063,600,175,687,984,582,512,434,707,140,850,513,928,281,908,080,266,762,081,
449,566,066,505,353,005,844,940,734,105,630,947,623,916,196,481,427,751,599,
787,641,258,617,577,574,760,653,347,381,289,426,004,099,773,917,113,931,972,
761,306,143,792,100,987,403,973,708,463,231,294,926,493,721,133,419,287,180,
500,307,591,228,902,129,542,122,015,679,066,976,133,077,163,835,390,720,562,
556,224,741,820,349,720,764,757,212,849,714,608,311,574,246,990,639,505,400,
963,811,460,111,659,148,795,916,561,424,585,525,042,860,250,947,707,847,183,
206,474,714,531,599,367,223,060,785,915,062,968,702,565,057,752,402,170,569,
024,351,390,334,276,393,698,576,457,458,780,208,975,243,337,737,145,358,803,
339,406,828,323,849,197,999,453,161,554,928,257,144,109,222,848,521,593,496,
598,193,560,491,588,112,210,881,228,256,950,120,495,343,156,868,452,051,875,
015,782,151,373,086,990,496,806,122,366,950,215,306,589,285,487,329,791,598,
389,435,637,907,900,728,757,762,934,953,366,468,139,883,938,209,073,821,010,
289,349,739,901,418,337,045,133,193,075,203,910,685,682,505,551,679,322,127,
223,246,025,316,751,916,451,084,236,244,518,430,064,230,762,811,673,433,641,
221,506,887,338,301,999,039,309,997,137,657,318,952,997,287,888,972,543,271,
533,272,706,023,677,062,958,015,376,018,169,486,074,001,581,058,085,566,069,
869,339,554,013,176,392,473,062,125,116,730,974,553,044,101,591,892,911,534,
129,063,927,035,315,134,017,959,624,320,415,017,524,176,564,725,331,189,916,
299,916,254,448,950,462,628,475,676,306,275,543,218,735,738,074,434,562,319,
847,806,194,623,178,516,351,744,350,477,291,191,746,547,431,306,817,428,582,
388,518,805,534,296,751,604,759,662,501,519,628,799,061,299,514,688,719,246,
861,759,176,271,282,048,485,920,141,726,807,697,145,630,511,227,131,182,445,
713,470,975,530,575,169,263,046,137,896,201,194,412,496,759,053,485,067,705,
277,319,958,251,665,017,922,138,461,392,680,642,107,034,179,241,465,059,358,
565,672,842,009,867,160,282,110,476,648,694,036,221,696,171,934,384,946,477,
220,853,921,235,090,760,569,170,809,848,098,945,378,682,587,182,401,014,858,
547,259,213,457,663,394,406,049,909,069,892,361,706,094,497,795,715,937,191,
229,077,097,926,094,631,965,802,064,890,298,680,211,766,195,518,410,378,183,
703,933,664,672,695,457,312,538,869,392,288,442,398,202,931,497,282,096,544,
656,368,757,818,654,967,142,527,890,753,969,013,756,550,844,170,036,166,740,
452,647,200,978,714,114,949,341,150,642,136,591,147,590,228,449,330,951,257,
835,894,083,763,046,582,885,398,569,251,830,458,265,462,043,140,825,199,020,
060,547,598,231,101,422,020,545,214,662,911,794,145,173,867,036,673,181,145,
428,644,060,891,831,548,872,876,269,002,776,047,521,086,059,947,142,361,887,
684,879,403,735,712,399,928,558,630,493,400,644,909,373,739,471,350,663,711,
823,002,096,926,063,961,806,346,911,752,995,272,806,383,545,176,726,146,289,
204,003,764,031,438,003,122,086,770,996,288,517,700,866,707,755,805,047,519,
511,943,666,700,829,132,526,721,976,649,861,887,417,146,197,566,694,424,323,
881,090,456,169,547,900,182,161,200,651,364,641,570,016,821,549,053,908,050,
502,470,907,562,876,570,527,990,379,665,375,479,292,180,084,039,372,792,209,
397,358,064,035,310,377,668,686,761,245,906,752,460,470,295,874,065,382,186,
984,822,912,425,373,755,458,749,324,334,645,489,749,505,541,134,404,755,342,
751,739,849,187,957,130,706,946,503,927,880,754,635,999,863,603,371,271,648,
358,138,443,683,276,014,389,949,670,981,057,413,660,142,914,414,795,783,997,
535,364,859,182,134,623,628,788,015,004,840,212,545,272,213,947,622,539,007,
174,587,603,034,248,299,617,153,195,330,691,808,969,907,770,685,650,768,905,
229,160,531,312,037,622,830,355,971,442,678,544,201,892,784,437,008,819,284,
611,975,828,756,573,394,840,550,441,449,790,831,415,702,038,901,313,076,119,
603,873,583,468,649,085,231,169,690,018,239,244,684,297,591,718,366,014,501,
765,084,356,895,325,117,224,340,511,779,686,852,725,080,936,281,053,949,962,
047,591,606,427,033,328,632,505,703,146,956,080,958,039,219,748,853,445,200,
372,507,343,175,262,581,834,707,385,187,002,401,631,323,248,168,512,637,524,
538,166,198,053,412,543,650,928,512,074,957,620,456,882,092,928,868,240,370,
098,671,433,556,357,789,158,974,143,240,067,216,466,599,003,727,890,206,230,
868,645,878,875,580,561,924,482,691,170,793,205,603,267,769,888,979,193,094,
550,183,319,450,841,095,309,851,687,125,035,784,639,832,283,984,603,094,588,
663,485,306,446,963,392,073,864,395,849,577,594,067,835,410,155,152,629,149,
270,560,161,055,190,366,684,670,615,204,626,457,838,328,350,088,929,629,789,
130,705,205,297,015,755,756,506,541,627,662,876,342,309,408,124,156,799,512,
386,128,316,015,240,504,573,427,879,436,518,700,960,263,558,368,693,850,683,
860,402,232,248,072,848,241,580,881,139,888,381,104,921,462,191,540,115,258,
309,849,358,799,963,525,771,807,307,988,054,313,850,425,717,492,112,309,777,
626,363,048,350,125,382,165,298,927,614,253,448,568,985,501,109,094,252,328,
731,880,514,106,383,811,061,860,004,658,752,451,106,008,568,850,879,653,895,
575,223,639,432,370,469,491,548,320,170,868,906,977,484,425,004,422,923,509,
047,712,406,500,121,299,413,112,918,528,223,649,596,139,089,106,379,386,285,
664,235,302,788,170,699,330,116,577,125,939,167,181,523,524,805,232,433,152,
739,890,610,550,556,599,502,648,023,049,781,793,967,889,634,592,809,649,584,
263,011,407,346,209,372,422,425,295,792,965,561,979,886,263,901,516,874,059,
670,083,359,352,840,215,192,624,902,228,940,279,773,143,408,616,718,532,637,
258,368,810,633,157,021,423,253,451,609,758,717,696,822,283,754,934,710,439,
483,448,337,315,624,806,315,587,758,034,519,740,299,530,156,361,448,022,471,
035,386,816,952,491,346,244,028,916,182,267,207,183,375,542,124,642,713,258,
280,714,127,253,120,895,636,428,347,275,333,739,977,195,112,330,279,582,179,
449,590,599,696,876,549,982,046,071,687,802,995,564,484,473,938,405,502,168,
885,728,239,556,803,198,201,183,592,147,947,639,172,620,342,802,101,950,392,
798,792,788,889,635,803,215,213,971,900,637,473,174,805,035,731,527,957,632,
693,042,319,961,465,507,511,973,809,077,332,198,968,117,015,083,820,971,719,
867,017,758,529,346,088,707,716,287,077,309,850,619,539,145,082,191,044,382,
364,244,805,960,217,371,468,478,492,083,801,571,563,704,767,104,879,816,406,
970,454,341,388,583,299,490,123,897,685,867,542,483,051,622,836,114,309,338,
141,435,913,746,765,665,310,106,054,443,231,272,170,486,711,235,146,545,410,
554,936,245,433,311,373,086,726,545,133,735,668,880,807,347,035,851,994,633,
666,007,438,899,278,507,079,869,567,258,998,923,812,185,302,900,508,517,914,
386,721,469,070,090,982,176,829,448,149,263,759,470,570,965,222,737,835,578,
878,184,222,026,107,393,894,971,706,752,367,192,957,995,337,131,096,588,301,
914,397,116,100,868,627,843,933,016,269,017,997,201,118,113,397,623,709,436,
890,657,057,945,859,185,910,101,889,457,337,604,679,949,988,520,072,770,598,
072,215,667,994,613,101,776,266,271,116,028,522,601,117,486,457,247,119,908,
013,151,692,915,668,909,773,750,766,324,524,753,982,688,685,548,415,556,444,
430,631,265,269,138,926,803,224,797,025,275,569,350,095,680,820,361,022,904,
840,811,878,203,782,298,649,364,828,453,015,050,687,348,013,927,716,724,691,
501,343,255,938,781,837,809,587,272,645,222,511,524,669,635,920,689,074,000,
295,249,821,013,873,497,811,113,790,186,925,267,873,984,504,598,298,744,207,
633,011,542,377,311,889,450,684,631,503,123,399,697,383,288,182,756,886,232,
265,079,351,171,083,860,689,532,571,699,835,796,599,282,534,326,403,747,648,
589,837,643,572,584,046,066,807,397,276,353,683,961,390,692,530,714,811,820,
781,674,259,144,837,885,895,665,259,030,567,658,540,698,498,407,940,983,262,
783,730,020,555,040,912,065,551,766,662,156,168,447,485,945,033,270,129,446,
750,146,458,797,095,921,387,763,046,391,787,389,832,753,839,613,404,970,844,
181,702,739,297,476,373,765,334,250,683,505,745,067,492,992,470,659,296,796,
667,679,257,586,592,293,344,836,190,890,257,142,435,440,449,982,735,178,946,
335,596,452,245,618,985,089,892,643,594,126,246,135,841,868,265,604,838,935,
946,687,751,909,220,646,952,809,214,856,742,141,906,120,161,057,782,371,355,
256,345,332,584,861,903,962,982,828,315,736,406,512,577,286,647,787,110,685,
152,467,839,119,984,295,983,209,920,748,817,116,781,576,283,803,341,063,583,
593,371,015,141,627,550,511,938,223,305,699,639,243,042,000,161,958,340,572,
979,542,624,261,780,230,103,716,545,175,209,649,150,911,114,691,846,105,319,
028,289,850,403,914,166,592,608,243,427,416,712,630,637,248,543,103,475,907,
567,697,885,647,249,373,708,122,707,327,020,449,272,618,085,461,530,501,296,
416,983,081,309,478,218,886,871,551,732,519,352,161,370,823,766,962,394,149,
766,382,895,153,725,722,885,078,209,644,930,255,095,850,866,029,405,898,112,
816,676,164,560,818,623,022,977,933,835,131,102,595,352,075,162,794,519,107,
269,020,603,778,036,219,343,742,934,916,251,993,034,208,471,528,639,476,560,
120,757,559,899,041,296,755,335,726,971,716,269,167,667,986,569,371,879,173,
639,483,985,616,188,778,776,496,966,632,903,638,008,421,902,070,679,252,806,
618,755,069,393,893,306,909,744,249,994,592,135,544,692,323,063,949,495,102,
196,304,434,115,067,872,638,600,030,966,075,935,042,938,027,052,923,642,666,
995,255,517,481,495,188,174,814,359,166,229,372,794,298,973,865,708,389,131,
804,115,197,958,013,621,255,644,620,653,918,642,780,147,307,329,280,448,453,
929,570,457,063,826,326,586,298,362,837,745,841,452,368,295,253,557,677,213,
491,472,644,550,916,483,683,267,316,249,623,533,062,835,247,041,418,000,333,
395,851,812,333,388,605,557,818,841,508,121,528,116,022,522,296,013,202,623,
048,215,926,269,896,846,818,866,726,465,767,100,250,073,895,368,140,257,436,
288,973,380,693,717,972,998,309,028,307,278,284,095,399,744,705,037,954,322,
448,228,805,690,983,952,813,480,784,399,857,792,189,784,634,945,303,269,610,
554,493,035,634,352,587,010,428,126,619,416,467,608,953,055,762,843,099,673,
317,682,346,077,416,460,752,208,897,140,462,892,381,871,521,270,217,346,680,
183,759,332,572,421,335,508,727,380,609,736,361,053,712,967,821,875,967,368,
882,886,229,489,565,199,431,486,489,207,796,247,366,674,331,615,827,636,654,
618,168,553,280,539,858,821,652,093,417,695,857,354,728,185,106,637,788,043,
505,503,163,107,112,581,298,430,584,382,253,331,431,648,481,798,689,908,769,
957,789,447,960,179,035,582,488,570,001,599,016,931,878,708,788,847,218,905,
742,467,687,760,978,662,506,379,441,271,782,684,331,249,172,923,944,748,235,
759,546,601,122,067,429,844,835,969,071,334,519,891,506,215,116,538,984,664,
389,811,903,989,205,209,226,236,924,072,515,766,736,207,955,334,515,742,140,
213,939,600,649,257,760,609,149,055,311,744,588,294,956,939,899,124,263,187,
614,005,534,237,635,778,374,887,081,929,815,883,186,747,688,914,546,658,200,
831,139,692,787,540,035,317,596,377,517,446,961,199,578,669,335,820,331,190,
247,871,234,043,348,133,795,796,918,106,624,449,540,551,855,403,258,321,327,
217,568,112,624,823,295,755,008,548,941,910,175,940,975,787,156,818,233,671,
308,928,799,348,495,810,125,615,179,225,862,756,012,019,533,260,635,541,322,
098,715,090,539,092,238,562,548,197,500,601,593,497,166,692,575,508,416,346,
324,149,556,108,429,681,798,369,551,154,542,679,598,362,703,931,017,684,593,
412,498,811,195,460,790,301,539,085,786,416,907,112,218,141,125,938,137,919,
321,404,677,905,079,077,403,168,070,415,671,387,414,810,361,792,969,366,715,
180,283,963,122,337,944,438,698,495,144,973,295,974,944,624,189,621,357,234,
931,452,760,241,499,943,042,499,430,194,150,447,381,748,529,942,880,766,495,
088,609,345,280,451,925,994,482,893,355,609,678,199,242,694,458,332,562,301,
271,157,860,048,626,711,089,232,217,236,226,211,378,005,840,946,203,928,124,
340,649,602,194,482,120,345,618,450,821,867,895,513,401,241,904,485,307,187,
482,429,735,401,539,528,151,888,859,897,704,499,446,010,812,614,618,878,250,
834,623,979,003,976,253,095,174,251,609,213,598,651,735,196,083,771,088,592,
903,572,670,329,962,444,410,026,280,132,063,209,176,253,507,334,102,309,223,
586,216,305,754,351,888,944,731,436,515,352,961,585,968,062,427,808,077,921,
018,027,810,258,022,860,945,587,351,286,298,213,954,852,740,016,271,090,064,
782,542,737,625,261,969,723,136,733,730,098,991,616,834,211,918,465,391,842,
875,385,043,941,689,515,926,636,258,899,974,678,514,152,113,774,965,863,947,
045,033,440,674,432,182,295,546,895,844,616,106,872,374,776,225,445,916,204,
702,355,800,215,289,577,617,117,234,457,695,451,709,280,124,294,272,009,772,
830,996,460,576,930,309,926,627,671,524,053,109,438,854,206,368,995,811,789,
510,500,044,228,078,304,952,707,391,753,729,118,813,115,822,834,385,532,189,
018,011,440,911,896,740,291,033,550,130,158,575,858,346,268,996,079,493,626,
674,458,408,483,739,581,954,247,046,940,989,908,578,397,084,687,603,005,456,
991,625,727,860,824,581,201,230,540,384,987,337,975,760,750,906,249,420,382,
210,045,154,820,151,234,337,135,428,490,900,944,510,586,450,857,638,667,564,
823,743,868,201,901,465,589,670,609,090,427,892,114,747,491,508,043,197,822,
276,959,541,483,569,537,417,562,378,399,997,949,867,243,273,604,631,733,121,
965,339,877,774,464,972,167,010,935,298,234,173,284,698,549,420,105,039,773,
680,870,684,680,637,218,777,629,630,287,824,500,689,119,892,782,204,327,713,
704,980,403,242,955,829,121,629,330,133,109,578,169,690,251,733,366,180,305,
853,097,123,513,441,131,230,624,651,794,979,953,128,393,558,546,656,730,253,
741,206,660,392,487,687,188,374,737,927,341,649,860,444,473,952,677,150,892,
646,041,542,720,370,708,751,592,774,921,790,785,447,989,214,518,723,703,154,
258,180,927,609,732,436,742,049,372,359,371,258,835,311,872,588,255,809,484,
824,255,617,059,167,627,353,349,985,414,678,350,600,557,551,217,509,114,292,
712,734,166,345,081,155,138,609,185,264,391,415,582,359,392,830,732,355,167,
572,829,465,067,178,420,347,919,828,656,118,811,515,245,052,453,765,534,257,
810,343,073,939,060,395,097,716,078,197,522,350,116,092,589,817,208,067,175,
244,338,270,377,343,756,082,734,467,063,857,868,607,976,483,067,932,314,082,
351,818,160,684,576,353,686,164,270,958,378,593,532,206,735,158,910,967,466,
054,849,357,576,213,319,960,337,706,596,774,172,861,934,018,576,817,384,179,
121,796,792,037,912,903,945,486,201,837,287,344,607,436,101,739,473,381,056,
265,842,088,329,496,743,241,533,521,836,285,323,756,740,460,108,086,549,243,
152,702,223,533,869,120,956,057,551,466,378,474,458,791,255,774,479,344,118,
062,231,933,217,092,316,454,778,306,428,056,341,961,251,082,479,148,972,396,
686,437,150,748,180,835,907,361,769,323,861,666,618,345,206,215,838,704,810,
106,193,298,151,031,452,284,162,814,889,882,905,991,588,821,738,296,561,885,
011,134,564,497,254,649,314,496,685,467,111,274,206,491,296,329,610,321,644,
291,093,697,714,553,625,176,126,225,246,795,788,700,655,694,338,012,504,601,
367,237,882,651,905,643,105,431,345,364,542,194,607,143,407,343,340,376,102,
120,611,634,626,628,203,189,899,078,853,551,828,738,805,889,729,017,124,901,
934,150,891,170,629,030,315,155,149,436,216,305,947,410,937,473,995,697,005,
311,784,068,867,563,654,676,041,787,036,319,084,859,296,556,930,933,052,453,
467,101,576,778,057,772,602,645,971,742,813,937,275,449,030,990,116,868,935,
568,246,971,213,112,736,506,090,530,327,002,761,243,404,810,068,218,311,812,
841,110,005,739,001,429,196,657,617,463,364,023,827,927,547,951,844,019,303,
116,331,122,353,943,519,501,348,717,770,726,890,681,582,114,690,674,865,686,
165,462,122,046,656,586,958,100,619,189,473,136,046,245,752,418,384,778,302,
965,685,439,734,363,926,297,961,603,996,963,363,660,625,620,247,748,286,256,
262,110,189,023,931,279,358,270,313,204,393,427,216,662,452,769,156,184,680,
664,342,360,137,866,474,313,436,183,707,760,254,374,499,887,454,223,652,974,
258,866,292,600,779,358,806,099,912,480,107,765,043,503,947,065,590,951,166,
355,103,825,828,186,804,247,802,047,915,078,840,816,587,221,927,284,835,531,
530,241,895,506,201,774,152,651,944,880,395,059,916,630,471,639,717,423,878,
291,398,937,301,624,990,117,017,707,983,334,791,237,150,795,275,756,326,902,
168,046,936,083,934,729,595,190,460,759,045,614,333,547,625,203,866,618,274,
031,807,161,455,483,478,292,226,287,397,448,631,057,654,598,367,030,744,759,
265,605,056,972,747,895,433,985,217,724,738,456,637,253,589,408,482,487,388,
655,749,940,973,775,275,569,685,370,226,735,247,478,670,875,403,592,481,697,
657,722,591,889,989,283,037,005,772,178,363,425,798,116,710,955,139,661,016,
598,666,187,549,756,961,575,560,628,255,238,471,533,866,536,213,127,959,937,
321,892,316,965,846,323,960,067,946,428,338,834,504,040,584,082,593,204,337,
605,905,195,602,542,918,418,739,201,252,999,582,326,025,407,600,436,484,727,
389,778,645,767,073,105,910,547,747,954,664,633,313,832,085,978,494,200,785,
560,772,716,508,124,080,893,156,286,917,254,561,187,745,245,848,021,698,618,
074,758,390,408,760,847,232,637,253,249,956,457,094,043,771,846,454,552,689,
444,476,742,931,464,691,116,901,951,060,138,765,598,614,503,644,052,276,199,
558,683,200,743,747,477,379,512,553,083,581,439,480,548,607,030,214,220,717,
316,528,044,678,872,257,621,964,235,551,164,713,237,000,347,054,087,545,364,
464,611,651,494,901,713,915,117,886,406,922,311,059,383,367,710,246,623,839,
389,197,746,437,944,355,566,924,097,822,572,178,209,704,989,569,260,523,670,
321,253,942,441,069,484,122,977,548,891,795,995,123,128,284,953,237,180,749,
387,875,956,978,368,308,549,598,872,151,384,318,079,514,953,022,949,282,095,
217,069,780,898,650,472,547,597,888,419,893,265,216,416,664,281,945,033,846,
856,406,877,707,895,010,228,701,391,749,046,688,264,818,840,187,742,290,734,
829,326,216,710,978,303,323,995,377,905,005,685,447,721,584,342,895,295,763,
363,894,357,310,511,747,210,815,383,335,910,166,855,371,598,294,839,667,094,
760,946,815,621,976,237,543,223,816,120,201,492,974,390,428,325,107,161,327,
226,143,708,096,520,608,058,473,388,381,321,826,283,410,663,978,023,050,977,
997,311,257,619,223,013,941,000,476,769,474,303,761,585,529,890,887,657,932,
947,613,642,501,574,125,107,422,132,764,056,989,035,939,173,266,566,366,513,
787,915,388,247,725,219,084,172,298,202,378,051,395,982,030,498,082,250,438,
572,686,583,396,169,039,234,425,806,516,941,161,434,682,741,255,722,240,386,
625,775,346,717,692,503,732,324,209,801,543,290,768,150,318,327,286,722,495,
527,206,836,929,470,174,497,710,097,312,697,235,232,737,476,907,872,867,538,
963,108,821,857,715,511,096,513,403,391,722,252,389,972,131,559,795,605,851,
471,496,618,681,857,822,500,192,403,839,786,587,768,000,251,608,320,296,800,
864,846,249,049,397,634,063,040,986,989,972,220,626,759,011,291,262,944,062,
337,848,125,475,250,516,235,156,015,478,343,386,066,204,202,212,728,784,855,
031,649,165,172,947,845,097,698,619,222,403,772,700,976,841,577,950,767,253,
622,193,927,686,145,241,337,414,999,093,660,379,256,663,181,337,394,125,486,
689,784,034,254,624,344,815,230,611,129,378,296,494,273,915,306,505,051,624,
162,896,225,661,491,141,586,668,621,225,764,459,032,172,877,185,460,714,143,
888,684,076,197,872,039,497,894,720,872,560,384,839,279,049,787,958,211,482,
557,156,318,955,972,619,214,507,038,395,082,397,004,260,171,076,919,115,110,
668,261,704,213,027,647,653,207,734,950,707,801,695,852,638,336,746,722,977,
925,152,578,185,236,415,378,207,471,569,408,627,577,743,612,072,989,667,581,
415,483,975,400,089,585,358,961,473,793,738,439,837,689,946,235,670,592,872,
027,191,532,069,854,166,390,490,195,024,324,629,771,532,525,556,996,685,742,
810,697,666,645,230,751,318,696,694,929,271,676,783,909,784,555,501,487,675,
498,531,710,426,143,650,933,728,322,880,502,062,089,066,694,810,995,398,040,
601,156,953,411,549,069,180,998,652,839,380,656,833,991,092,769,765,772,587,
985,000,687,460,529,924,905,235,838,156,317,541,087,351,411,462,063,225,349,
081,832,698,074,395,338,234,675,336,846,082,526,764,223,652,008,171,255,194,
063,718,390,362,043,253,394,165,791,243,481,505,292,405,003,235,275,690,249,
717,124,084,406,176,950,952,525,691,115,900,625,913,466,538,924,931,747,206,
588,899,918,339,653,960,018,599,795,387,693,481,977,418,136,443,922,669,249,
300,283,012,568,811,468,433,929,493,732,355,604,500,293,358,673,453,463,052,
123,367,854,376,692,958,556,252,041,552,689,446,863,883,748,023,838,449,256,
460,859,727,797,249,530,537,629,036,056,660,689,594,207,095,918,089,180,143,
711,745,195,703,720,718,930,448,303,686,274,260,650,521,007,318,078,705,516,
857,939,578,291,522,785,914,208,821,112,315,579,070,380,508,100,706,536,592,
999,071,260,411,177,108,863,494,588,430,930,811,757,013,784,523,074,488,716,
286,642,227,319,389,338,137,591,438,377,021,953,563,683,356,459,986,441,110,
868,630,004,161,805,486,369,857,819,285,450,472,183,033,981,563,391,255,026,
429,113,899,208,794,890,907,447,789,059,922,850,702,500,260,691,024,735,471,
507,836,956,979,879,114,701,781,930,667,719,389,912,060,369,407,153,841,800,
929,251,312,959,109,930,723,855,619,943,527,000,589,957,203,311,363,084,237,
304,671,699,697,832,233,887,099,887,910,826,610,685,041,750,074,201,602,007,
688,143,901,939,135,820,501,471,295,373,516,359,072,837,499,197,276,144,920,
150,364,785,082,544,814,342,637,931,187,830,277,824,405,328,373,476,998,111,
981,317,725,403,813,876,831,225,046,764,540,170,742,514,649,830,991,929,040,
948,891,539,131,090,342,658,104,263,096,797,742,805,283,764,594,890,174,923,
112,243,003,620,250,872,241,014,297,408,458,462,370,127,240,638,396,912,289,
136,705,603,328,914,610,229,713,893,996,834,070,059,299,140,260,624,803,554,
662,039,481,908,655,950,662,416,290,548,333,329,719,009,684,794,356,164,260,
712,172,927,834,568,267,246,405,683,221,810,519,363,734,637,072,635,451,305,
708,059,799,309,328,264,919,247,850,043,729,610,358,284,720,316,316,314,139,
595,648,648,520,518,903,687,697,429,128,107,931,748,740,551,106,174,215,584,
096,361,757,120,883,398,242,814,143,202,497,671,075,706,441,158,381,899,689,
795,056,838,288,917,019,926,511,984,239,698,033,775,168,660,450,428,416,898,
387,410,772,713,290,401,370,106,165,648,488,108,236,516,788,331,405,198,593,
741,820,702,504,620,710,500,167,766,506,471,112,458,811,720,321,300,400,526,
740,695,614,142,060,088,852,173,810,136,924,001,131,474,291,354,314,476,061,
344,545,925,880,061,479,357,314,444,349,367,960,951,680,281,630,051,456,010,
291,924,738,938,681,011,150,543,111,175,632,259,261,380,582,272,228,929,111,
157,730,881,842,868,571,130,924,605,549,146,046,219,221,854,086,892,923,770,
890,396,595,637,070,857,263,828,152,683,875,290,938,835,242,814,952,005,034,
226,087,343,079,989,644,727,588,374,016,874,194,510,045,767,906,015,682,789,
284,004,527,480,156,222,986,608,750,167,969,155,812,018,742,597,757,648,302,
991,178,554,383,394,019,314,799,634,446,764,821,896,294,622,314,579,301,026,
448,411,367,005,937,950,571,581,479,350,539,789,587,808,415,575,330,023,840,
255,830,082,797,926,520,998,479,727,879,422,541,035,792,156,197,625,506,067,
475,736,061,045,276,497,978,900,957,244,632,281,424,764,428,286,201,666,261,
689,125,379,339,785,357,764,875,451,006,949,486,188,576,976,194,397,945,252,
963,745,168,838,001,915,715,480,051,904,348,508,367,492,672,350,271,767,897,
902,688,830,407,651,909,740,690,637,211,982,966,711,861,312,322,793,369,562,
206,826,219,835,230,430,980,631,382,595,840,241,062,852,394,578,580,028,588,
169,176,674,262,113,849,326,354,814,941,475,677,950,174,941,595,571,006,468,
945,521,496,415,584,122,255,919,550,600,823,101,383,084,820,695,858,656,427,
922,707,825,021,556,915,440,471,649,058,703,676,455,048,329,188,597,802,472,
085,293,340,754,400,918,059,326,432,706,777,317,713,947,685,946,772,238,222,
904,955,528,801,490,084,911,858,581,568,012,089,543,311,160,859,325,294,794,
282,017,840,785,062,076,983,041,832,969,868,111,082,241,983,258,763,415,413,
091,549,147,001,435,441,335,716,572,431,832,978,753,387,527,850,217,977,238,
758,054,283,061,888,609,653,232,410,425,670,624,975,827,022,342,288,084,114,
752,558,291,656,903,222,958,272,723,042,801,975,022,728,398,344,333,277,585,
714,693,797,717,097,374,031,543,137,893,301,052,370,901,124,681,806,480,997,
391,610,014,454,807,752,975,099,567,901,445,125,363,107,603,366,267,119,937,
482,112,089,729,589,739,473,576,737,782,675,248,093,574,223,159,190,614,407,
542,388,767,382,303,817,699,654,009,386,500,837,336,128,531,630,406,103,608,
454,114,959,787,580,722,745,064,598,576,941,859,450,585,468,654,220,761,841,
746,473,798,911,991,129,718,744,723,390,869,193,843,328,916,717,959,556,323,
212,956,058,481,550,731,415,223,309,924,587,299,172,028,377,166,119,736,448,
616,909,940,335,736,682,157,854,311,817,388,591,763,974,134,673,262,634,020,
551,123,955,603,912,408,434,161,732,658,477,538,726,395,632,705,048,880,613,
631,671,472,835,185,419,592,251,824,701,897,172,992,810,484,635,981,562,628,
166,548,092,231,030,530,842,371,067,492,344,909,651,248,665,510,651,039,221,
302,699,329,933,575,600,826,433,604,684,858,999,319,973,777,110,266,372,520,
636,524,683,219,431,255,835,929,948,126,151,972,456,590,493,132,473,900,004,
736,046,438,017,240,864,105,392,004,560,526,730,806,675,701,721,040,496,499,
422,653,946,602,091,769,368,932,936,547,131,782,505,730,493,887,920,604,944,
794,153,714,285,199,905,186,626,271,817,351,822,794,290,423,848,123,321,607,
068,728,933,624,149,771,429,957,249,995,811,313,449,249,924,468,394,239,048,
965,556,944,117,949,142,910,182,602,920,618,056,832,555,940,105,694,373,283,
475,882,516,384,058,535,015,864,025,202,863,437,841,218,990,074,611,282,516,
323,373,302,139,636,331,280,354,472,334,146,283,655,371,840,175,854,443,554,
962,822,255,649,330,215,303,516,962,560,198,647,617,804,970,201,965,748,530,
428,449,539,056,494,394,398,931,291,091,548,356,626,105,288,013,616,250,531,
548,313,207,898,004,453,428,264,604,743,016,393,412,694,250,859,692,170,635,
252,644,068,349,578,016,003,036,079,002,427,644,556,810,950,988,485,297,621,
397,453,368,423,659,069,913,104,978,992,836,389,305,217,270,717,492,823,972,
763,873,786,450,133,811,279,152,353,127,676,039,023,083,373,706,949,229,522,
731,823,948,872,440,920,701,482,050,654,369,770,861,153,326,983,201,356,921,
273,627,586,860,689,940,486,119,250,181,446,607,806,356,415,404,672,336,027,
367,213,398,171,953,629,119,306,701,886,972,936,620,445,437,149,381,193,572,
485,044,285,121,203,627,708,964,759,046,773,263,336,656,106,496,305,459,171,
848,384,702,759,065,637,469,872,120,013,299,690,594,424,165,516,234,263,050,
149,683,423,716,705,856,903,117,171,294,118,109,109,484,583,856,282,516,146,
493,065,803,578,763,719,620,427,399,782,063,769,528,069,062,407,160,967,509,
579,667,616,589,376,182,100,397,290,042,457,831,284,306,629,627,710,157,938,
763,655,609,755,930,128,901,583,162,470,033,238,302,669,254,419,496,703,603,
550,822,126,445,959,990,590,062,009,091,845,828,068,522,605,359,320,349,354,
603,536,955,842,552,854,091,709,668,424,283,300,490,735,305,660,754,526,570,
515,248,003,914,743,231,478,482,205,555,198,088,476,089,896,945,880,672,010,
493,004,981,179,452,652,933,893,995,329,599,508,670,750,447,958,692,664,959,
758,326,015,299,189,749,379,517,356,225,049,727,024,031,604,438,047,561,808,
039,601,145,358,944,564,121,081,673,941,316,436,325,219,416,508,403,169,070,
652,297,843,208,659,895,650,675,135,074,909,645,408,933,561,446,636,231,182,
630,630,064,759,072,774,245,671,590,115,448,627,928,728,650,770,752,291,419,
601,047,800,144,276,794,321,731,012,754,113,641,559,556,856,001,569,278,005,
516,786,282,017,873,640,360,620,383,482,476,737,075,331,508,540,799,934,915,
921,440,698,715,668,443,802,649,198,092,352,369,510,533,593,102,667,739,315,
970,111,613,659,978,265,440,115,375,743,768,742,785,807,039,887,758,712,187,
421,554,029,511,006,563,802,836,115,407,743,931,908,779,931,789,592,595,972,
559,249,534,519,863,574,746,274,468,367,470,142,737,663,873,040,789,697,412,
749,887,863,902,224,146,595,212,100,848,169,734,960,660,684,295,947,275,157,
241,643,113,323,984,601,399,947,030,445,914,648,237,942,621,453,758,306,769,
150,809,367,941,957,367,499,235,908,971,599,296,360,230,590,774,012,624,126,
460,238,846,950,283,878,364,409,373,488,973,308,420,914,564,678,817,578,589,
434,689,028,690,561,266,729,722,701,628,839,909,877,583,639,050,462,476,595,
448,744,576,501,258,775,998,865,239,955,472,057,724,220,666,499,969,308,862,
182,389,785,663,160,289,400,896,745,606,896,866,561,354,780,099,690,971,171,
415,434,568,247,300,839,811,683,277,588,522,963,022,268,506,891,013,485,221,
263,524,669,813,129,056,312,147,742,472,457,769,729,083,162,264,090,097,296,
854,865,283,712,207,491,495,452,779,724,532,879,156,580,432,725,152,876,503,
802,116,207,010,260,317,991,334,715,430,741,410,010,817,753,372,921,608,263,
493,155,183,539,014,869,984,668,980,545,393,468,266,023,454,445,254,067,013,
108,915,554,230,313,395,436,156,010,890,664,490,032,168,451,945,820,934,925,
263,596,338,574,988,586,393,748,436,307,045,133,934,860,874,864,488,093,974,
280,309,437,735,344,267,351,409,043,110,968,138,641,000,072,080,212,226,157,
611,091,298,317,246,066,579,603,396,507,130,353,157,561,838,344,521,295,935,
687,619,815,387,478,768,627,510,442,458,963,885,180,454,006,185,415,476,130,
734,427,729,789,009,948,986,262,896,535,793,095,896,059,839,762,287,295,069,
608,910,338,937,423,404,472,958,660,265,949,140,635,894,505,880,005,545,572,
691,990,016,006,610,887,313,860,004,882,096,306,344,078,103,284,552,628,911,
444,503,192,517,896,967,315,012,201,723,848,089,268,893,962,919,232,265,951,
579,635,853,673,307,380,152,399,637,668,414,811,942,784,203,570,276,246,066,
070,966,130,328,796,371,868,529,461,356,071,667,053,436,914,948,898,666,912,
242,982,270,912,627,169,720,032,727,543,659,863,662,509,289,956,862,515,620,
539,467,508,223,419,131,521,119,991,525,837,070,102,596,351,190,485,552,621,
515,466,253,611,369,903,829,265,133,879,788,806,929,206,862,895,137,848,038,
264,396,347,630,268,589,732,913,439,849,182,618,184,597,938,976,628,316,533,
257,338,087,014,029,074,879,299,706,400,048,419,966,194,499,541,297,935,195,
750,850,704,491,745,897,365,718,817,972,017,124,719,974,496,877,269,229,944,
191,358,509,838,558,877,261,572,525,829,691,885,452,898,898,980,161,357,488,
388,996,577,270,560,388,631,331,935,735,728,803,756,894,217,757,932,991,224,
513,489,723,439,963,581,039,745,762,163,903,012,656,137,136,422,330,893,177,
890,094,987,663,267,976,357,154,340,380,639,794,448,030,005,627,498,772,390,
673,930,363,219,094,348,359,772,472,119,759,151,459,399,633,189,884,377,583,
214,326,603,746,630,740,438,539,749,095,319,262,884,241,606,299,921,318,917,
748,700,396,679,719,332,216,456,019,443,082,622,625,726,223,143,718,758,692,
003,078,485,355,591,493,071,775,109,012,514,487,188,381,608,721,663,036,489,
800,399,435,965,637,037,438,496,131,954,454,005,966,420,582,915,598,422,282,
310,599,315,645,726,124,816,183,487,848,618,688,622,780,175,324,030,998,720,
552,741,067,317,393,112,412,435,028,592,761,792,543,515,267,602,773,722,331,
609,995,133,182,648,916,490,198,465,409,886,728,060,645,198,765,810,280,442,
795,676,741,159,748,851,991,366,515,728,631,861,739,005,977,036,004,348,634,
799,569,531,890,397,796,089,753,874,887,457,222,852,679,349,292,820,572,402,
876,033,490,081,312,480,952,660,691,004,089,127,746,731,201,982,630,466,551,
736,196,898,235,052,089,431,076,972,705,071,128,321,714,235,063,316,787,292,
102,697,367,357,647,024,116,197,913,551,894,583,831,763,109,789,168,072,986,
871,882,176,104,409,559,121,181,320,031,859,450,052,154,530,083,046,114,728,
623,686,138,431,350,177,235,080,976,644,142,457,659,459,408,975,176,108,297,
558,643,616,264,991,329,467,972,360,242,633,358,219,429,239,446,592,240,349,
387,082,228,274,479,763,593,795,853,892,937,607,727,648,965,317,655,414,699,
479,743,908,162,028,809,740,224,033,793,907,341,194,220,180,158,279,340,342,
599,004,368,507,225,323,968,341,931,215,228,028,919,505,905,935,118,830,191,
369,877,263,361,171,358,968,554,831,328,200,799,468,945,448,460,999,167,888,
526,818,083,062,104,578,062,138,848,430,192,898,906,736,411,989,441,975,507,
264,923,894,228,307,865,796,011,399,185,241,486,224,391,223,967,758,287,297,
454,905,778,254,414,183,857,391,222,184,627,310,073,603,888,997,206,858,213,
937,709,564,985,062,437,811,340,191,221,401,629,437,298,591,429,090,456,008,
520,056,195,946,039,780,566,250,258,298,587,649,043,173,505,283,169,008,509,
725,359,547,697,254,915,746,173,589,777,670,051,970,067,171,007,805,569,799,
032,323,111,399,124,764,287,820,138,070,569,062,001,723,998,400,370,626,506,
545,048,179,024,147,043,442,998,273,177,611,921,242,962,846,914,178,629,987,
915,506,733,499,231,726,978,029,792,597,654,759,540,610,743,330,581,443,197,
647,430,289,754,231,524,610,570,225,846,610,277,247,555,780,867,990,455,943,
228,627,453,971,060,098,690,655,213,945,168,254,477,777,981,074,330,939,759,
959,988,554,005,500,226,658,651,343,960,902,316,789,984,411,010,147,059,787,
700,077,940,898,912,335,986,047,477,906,947,910,236,172,001,031,330,275,559,
026,033,625,908,516,996,254,236,820,362,891,911,374,815,068,506,945,051,326,
463,195,808,006,949,192,272,927,750,890,148,517,050,415,090,182,674,065,484,
189,762,483,700,513,635,563,357,642,417,325,531,439,221,590,722,637,113,780,
934,393,007,343,686,724,674,324,535,345,410,525,187,900,313,814,527,051,254,
815,016,323,972,932,883,830,187,703,648,639,339,208,251,199,720,103,465,909,
667,816,916,189,163,204,403,384,041,996,572,112,047,203,100,328,314,462,069,
267,632,491,060,493,253,554,504,933,161,769,629,916,910,315,772,044,201,978,
205,125,831,787,836,649,354,554,265,241,682,287,525,062,871,081,297,371,695,
661,271,251,112,198,037,324,762,676,298,206,837,276,820,039,559,552,418,836,
992,356,075,036,903,119,789,132,553,369,006,185,667,217,074,628,330,980,202,
157,415,859,113,889,681,744,279,964,394,578,586,151,005,659,710,411,978,892,
862,698,111,802,524,263,892,784,315,359,264,407,625,693,923,373,781,920,795,
458,244,436,887,670,725,388,160,341,147,366,990,532,850,099,104,709,605,716,
498,272,573,353,877,742,503,650,340,548,261,466,639,782,536,073,367,281,925,
404,878,827,530,890,142,550,765,559,906,390,485,817,309,476,167,693,140,789,
660,773,663,041,795,275,555,401,023,374,233,035,336,983,868,966,218,154,629,
509,060,712,513,443,975,660,399,717,406,638,508,854,095,840,168,596,479,920,
381,941,977,137,920,441,613,866,293,152,582,384,337,994,127,840,957,119,966,
903,678,194,416,434,461,676,495,707,972,659,217,691,832,091,259,004,353,150,
583,734,402,475,584,063,971,618,973,223,444,303,960,933,182,956,920,181,286,
564,979,889,692,779,904,033,230,196,671,011,532,483,681,909,099,128,217,843,
443,373,292,959,384,102,419,407,210,957,876,242,457,052,312,835,523,045,801,
229,330,113,168,099,166,474,209,096,436,605,708,959,266,899,387,921,177,110,
300,871,141,856,101,255,534,548,260,540,617,091,256,196,391,468,436,454,754,
714,842,117,716,359,750,677,233,306,862,270,681,588,832,807,466,094,333,459,
209,161,827,318,770,748,763,714,346,867,148,392,848,702,377,683,351,818,339,
658,003,914,233,810,648,046,867,279,627,129,637,726,409,394,271,909,948,236,
943,839,501,336,932,311,535,022,395,456,403,610,149,782,211,010,522,765,864,
230,191,525,780,928,805,361,128,350,002,348,071,307,368,353,523,989,634,965,
536,048,595,507,665,686,947,190,872,250,112,384,485,516,562,053,082,815,939,
995,300,767,320,094,905,032,165,879,083,959,815,161,723,312,144,210,746,194,
649,726,829,034,609,498,887,696,537,662,567,941,250,347,509,557,538,946,329,
982,589,397,273,130,281,350,480,923,713,418,811,698,633,051,004,045,133,973,
913,173,204,632,850,585,581,583,506,032,248,818,210,103,340,746,496,339,837,
920,247,556,286,101,283,740,140,173,010,488,406,210,928,554,406,773,201,183,
762,165,563,884,024,157,335,337,741,535,796,968,244,050,728,294,627,017,172,
321,325,422,782,877,603,110,662,722,754,350,098,547,432,984,574,891,915,785,
083,451,135,093,627,542,670,540,922,471,986,431,502,037,865,435,266,899,113,
285,617,357,818,780,205,080,749,365,887,764,578,149,180,971,134,756,706,132,
880,488,665,249,080,755,906,375,799,588,454,040,386,640,802,430,618,120,952,
406,307,426,157,523,666,522,178,490,953,067,574,388,128,635,217,892,460,600,
327,648,712,038,605,093,692,959,846,834,441,945,392,762,093,275,085,364,703,
706,199,263,844,019,864,942,061,248,761,730,992,806,218,958,082,027,986,391,
443,690,365,441,145,437,453,311,590,024,820,485,371,387,619,515,224,368,782,
422,493,385,346,271,285,560,261,963,626,762,805,932,806,520,580,348,547,509,
242,693,795,516,690,210,751,139,277,135,278,362,101,737,222,703,991,834,715,
765,599,110,882,142,985,757,604,984,948,203,576,830,307,575,639,298,580,425,
706,543,875,093,109,452,664,270,396,692,219,786,229,845,005,746,670,542,579,
412,050,860,377,271,268,151,666,709,821,354,437,763,991,162,856,381,718,981,
061,422,343,587,095,085,170,675,763,275,916,861,805,081,170,840,370,508,255,
450,517,490,577,544,755,538,450,374,085,683,877,778,206,774,613,565,102,268,
702,824,624,208,254,341,088,301,672,462,560,925,071,247,282,217,476,639,936,
507,525,446,777,701,688,859,888,215,798,785,522,326,394,985,223,549,679,674,
064,015,778,302,618,115,208,809,433,469,864,232,354,689,793,716,430,274,157,
505,265,636,383,267,605,767,267,195,436,876,763,742,156,484,477,742,587,560,
093,591,659,838,988,817,004,930,924,639,304,280,107,524,821,884,730,824,806,
093,146,530,042,170,690,114,820,432,342,952,868,738,027,215,672,046,956,595,
598,323,791,112,807,541,823,945,717,489,946,195,162,449,158,870,246,451,662,
512,634,864,971,184,251,918,380,105,844,741,510,764,941,766,111,109,168,665,
749,791,969,684,946,769,564,713,304,370,789,931,397,517,648,782,280,479,479,
455,658,457,946,921,628,935,242,498,288,379,037,074,375,416,431,366,728,938,
941,654,709,889,186,017,130,524,076,755,683,740,418,481,133,008,676,171,620,
692,027,064,418,734,965,517,004,695,103,775,686,108,328,929,737,511,626,843,
418,736,899,257,936,703,080,501,203,158,591,904,405,041,297,832,730,286,076,
910,019,199,826,371,981,120,910,003,331,234,208,305,434,985,838,507,311,097,
381,643,490,835,759,867,324,253,174,878,040,874,682,232,933,282,263,046,941,
929,366,013,314,703,324,197,191,964,712,830,672,457,405,350,214,497,708,610,
676,033,205,713,550,683,971,094,053,153,949,124,248,189,410,272,605,371,257,
630,267,870,192,769,181,589,173,342,409,269,293,236,986,700,261,566,327,359,
297,214,425,381,144,889,632,040,852,460,269,442,211,477,043,783,689,217,777,
353,366,970,228,860,942,349,606,210,587,746,630,214,137,067,929,317,320,076,
735,367,730,459,278,535,803,941,293,155,783,784,267,777,900,872,136,941,815,
395,570,385,013,891,787,328,595,886,197,720,929,641,000,992,225,203,999,851,
791,740,652,539,902,328,891,039,161,813,942,069,427,897,181,161,954,720,727,
297,572,257,970,665,208,034,906,474,437,283,677,258,889,847,599,936,364,098,
821,803,452,778,878,687,176,951,409,470,857,732,920,040,824,959,248,998,897,
145,251,193,067,762,671,669,632,563,662,865,949,205,929,280,004,187,161,398,
737,885,763,569,768,798,954,402,027,450,416,962,665,785,963,173,873,196,385,
475,092,352,488,628,792,174,141,176,127,614,541,929,406,804,933,763,680,654,
984,368,345,165,016,199,341,699,133,014,029,683,456,474,326,983,617,935,137,
273,878,966,054,014,393,925,530,566,000,618,063,890,724,970,181,304,840,637,
616,376,468,462,614,095,374,262,208,964,798,919,157,038,900,121,021,907,007,
595,663,226,688,008,686,748,293,826,183,893,129,880,538,577,529,895,036,687,
081,339,385,099,061,123,637,951,242,887,106,390,451,916,666,194,828,120,320,
615,299,201,411,018,476,345,065,844,761,584,451,885,264,012,524,030,712,981,
088,332,218,944,011,745,599,273,081,016,939,563,168,878,703,305,109,102,404,
232,891,091,169,861,450,692,745,060,181,261,749,853,026,259,296,443,896,159,
011,825,496,107,047,888,772,777,244,442,870,100,945,850,324,329,978,188,307,
583,808,818,647,758,743,658,525,563,993,122,295,741,038,148,426,947,635,659,
768,835,719,378,507,544,937,496,921,027,931,594,679,647,794,240,659,060,505,
324,572,980,327,642,875,929,951,168,089,557,055,813,381,731,617,064,615,751,
618,933,250,857,318,224,224,072,557,686,244,098,783,998,049,354,201,766,242,
059,483,842,673,347,005,445,210,297,653,360,643,661,745,604,031,624,387,779,
254,063,115,350,728,049,940,906,344,987,752,352,155,171,666,171,532,612,861,
300,763,357,698,739,738,530,152,625,115,285,053,845,642,995,687,538,062,291,
674,326,805,383,191,017,016,906,082,012,714,638,442,906,778,158,969,135,324,
699,114,346,122,890,370,985,193,179,893,563,478,569,986,510,638,513,173,716,
976,415,171,970,863,964,521,618,780,690,338,118,805,072,588,631,979,630,137,
280,866,968,589,847,553,068,944,844,693,170,641,931,163,551,820,926,270,022,
034,556,869,596,605,257,840,670,277,087,041,843,627,688,211,736,010,426,964,
259,553,497,800,700,397,854,657,717,055,978,146,608,514,070,661,920,063,437,
764,811,083,426,522,888,119,763,069,456,662,140,681,765,019,126,267,797,465,
876,328,893,074,513,359,889,398,765,242,564,133,135,356,009,853,921,892,786,
332,711,294,116,676,956,736,071,056,714,862,237,775,658,554,256,150,118,776,
869,067,724,364,818,123,085,490,823,752,465,983,705,064,963,079,657,493,643,
667,270,868,722,679,502,562,527,013,322,299,159,019,052,423,650,685,628,898,
265,905,554,418,751,199,899,612,782,561,558,120,740,053,317,554,720,892,287,
654,554,937,394,568,619,451,227,080,992,859,090,966,121,390,832,832,632,205,
122,312,531,053,694,500,394,599,182,932,777,163,113,148,396,503,587,150,313,
463,023,735,516,947,390,803,512,635,419,570,881,627,105,459,959,090,613,394,
289,511,752,627,264,780,014,200,521,725,535,900,880,903,540,768,547,549,025,
062,836,178,101,172,554,571,425,008,306,118,714,852,509,756,647,237,897,947,
022,422,771,540,622,031,544,227,717,879,801,318,186,649,354,648,813,192,280,
242,464,779,372,873,927,188,190,740,961,927,371,104,212,562,588,846,272,430,
872,395,762,031,135,239,846,844,978,489,011,102,883,963,024,166,087,514,356,
826,434,569,353,596,966,754,402,747,376,169,894,252,374,206,830,446,320,999,
841,631,901,113,473,734,412,309,068,469,339,726,555,397,353,545,213,559,809,
836,307,333,999,319,137,124,598,692,606,418,496,086,893,577,845,503,099,866,
433,016,941,087,949,639,350,156,682,865,896,043,065,021,909,148,778,983,971,
809,865,892,025,206,127,927,893,939,244,093,386,383,682,466,414,214,360,063,
386,172,604,516,114,345,758,923,601,659,946,672,664,514,841,055,823,573,297,
184,539,279,176,004,180,194,157,479,917,609,987,790,822,035,268,884,497,907,
351,957,976,165,949,610,653,034,077,627,452,592,983,127,725,600,796,647,513,
204,934,632,450,225,276,750,855,423,834,027,520,270,189,438,629,359,142,545,
512,186,097,704,613,301,961,377,394,468,652,533,985,912,071,891,736,240,952,
134,738,216,039,305,369,173,023,850,954,066,582,718,728,274,416,380,465,100,
498,647,172,648,071,787,868,755,858,711,841,073,539,493,777,814,100,812,507,
965,465,571,483,373,406,999,286,949,783,296,312,581,550,485,336,757,737,258,
041,423,020,429,030,584,334,548,437,307,595,023,383,606,403,963,535,584,478,
876,064,000,851,085,585,868,935,578,713,240,542,939,137,244,470,010,626,861,
339,914,034,455,473,744,046,134,776,163,523,124,160,730,369,723,012,235,283,
476,428,345,141,953,890,021,124,072,379,028,685,720,467,575,350,069,459,246,
049,813,260,308,548,070,774,578,588,915,723,044,164,512,649,796,879,665,485,
737,892,921,228,730,880,774,099,372,300,735,461,971,091,481,215,538,975,337,
963,759,384,666,160,329,942,259,412,214,629,656,373,981,338,487,813,321,018,
142,471,987,950,899,655,052,372,799,806,552,397,314,501,381,399,921,590,314,
245,732,024,531,600,435,901,618,141,641,445,835,430,205,193,932,513,231,535,
734,714,656,820,143,958,437,222,796,160,170,584,541,904,086,687,939,879,147,
704,770,057,795,333,002,825,563,591,163,712,255,862,757,325,572,116,539,043,
379,428,576,823,781,634,203,384,690,491,525,000,464,587,617,024,389,360,141,
910,730,015,105,809,727,298,736,078,454,984,253,956,105,960,555,686,620,308,
663,016,323,365,928,610,689,396,402,530,481,609,458,861,577,546,912,289,870,
225,416,033,774,562,910,405,200,003,868,722,835,015,568,905,750,745,868,390,
427,432,922,883,241,399,453,583,185,465,703,315,422,017,837,989,673,791,326,
057,567,499,690,467,688,352,610,986,975,984,193,009,980,317,042,595,804,110,
436,582,181,534,969,316,780,131,290,709,353,713,568,106,884,682,449,826,662,
902,693,012,094,284,058,984,252,183,641,839,673,212,963,656,269,146,573,880,
548,523,818,453,874,729,841,755,563,178,289,263,475,570,867,061,803,486,579,
821,314,806,429,856,185,489,776,006,660,139,802,642,253,635,494,699,599,209,
141,185,494,020,110,250,800,487,052,540,921,386,274,172,691,633,270,111,954,
786,580,455,409,718,481,804,993,722,550,261,113,724,992,213,769,599,615,034,
343,189,706,800,118,186,031,032,351,779,173,987,857,763,421,248,019,309,569,
387,770,613,231,199,024,194,105,506,551,730,181,565,881,127,174,427,787,410,
610,611,584,185,617,008,895,137,225,323,902,106,507,814,205,274,343,093,473,
605,904,380,573,580,698,740,013,512,312,070,110,111,868,260,421,755,699,980,
119,525,012,188,775,215,011,828,623,647,251,235,740,514,423,541,329,253,492,
004,683,821,221,794,536,550,421,169,138,859,029,687,691,644,989,357,648,061,
987,765,276,571,802,602,702,923,943,091,951,563,831,833,581,037,391,986,136,
986,759,623,036,566,701,810,067,646,007,738,630,616,779,476,396,511,123,918,
569,249,009,641,781,057,520,493,966,346,022,642,272,406,599,062,368,147,019,
918,320,068,331,815,555,551,364,018,499,849,643,512,491,122,341,894,765,624,
196,895,323,633,882,010,710,987,854,992,753,390,478,873,592,394,588,439,015,
639,807,765,007,785,764,368,452,245,003,616,875,996,245,336,957,324,646,592,
257,325,631,981,810,810,506,435,948,817,375,234,698,534,590,881,102,126,855,
026,316,577,461,671,712,986,954,514,011,283,946,183,031,241,026,744,416,656,
514,140,833,807,047,809,327,635,936,990,058,136,400,173,265,718,471,910,054,
774,584,765,823,400,104,611,956,615,489,566,237,531,960,895,252,713,730,393,
302,144,129,403,834,160,851,192,214,676,003,590,718,241,514,518,983,581,182,
155,743,009,654,981,169,054,820,304,720,572,669,861,183,935,847,612,991,191,
934,243,814,588,738,516,522,880,345,768,385,857,503,985,561,898,393,234,556,
347,569,532,460,524,035,760,753,801,391,713,202,618,476,879,202,459,539,172,
585,341,452,847,178,374,945,289,650,463,931,274,917,063,039,613,540,965,733,
961,101,492,195,789,271,710,303,057,024,367,077,333,639,134,520,148,202,759,
712,900,643,512,423,476,082,172,652,808,713,813,676,764,546,199,995,305,168,
995,068,083,028,750,546,367,554,305,545,566,185,559,271,311,175,765,745,342,
094,665,114,690,551,688,857,883,956,394,951,242,874,331,616,868,019,064,141,
995,052,223,355,880,231,327,294,654,323,355,455,181,690,290,449,441,154,553,
169,579,492,449,054,553,233,047,933,297,693,956,678,398,250,652,517,280,119,
886,158,443,416,716,409,148,679,028,922,978,290,191,768,651,938,982,443,451,
771,069,615,568,410,404,652,289,161,759,872,950,091,656,988,730,841,972,171,
787,148,436,962,416,745,907,014,127,389,287,207,044,999,312,311,075,144,929,
882,585,673,145,885,126,324,759,418,101,920,836,079,394,878,432,803,673,328,
802,991,537,680,939,314,643,764,491,023,855,384,917,003,050,074,845,137,663,
009,298,612,447,767,360,203,672,995,595,716,974,730,318,766,013,095,784,268,
953,054,219,991,610,500,032,995,745,404,744,439,738,174,138,181,148,664,359,
323,824,333,138,275,743,705,257,254,005,974,431,633,135,925,726,674,530,514,
097,067,968,280,145,429,788,345,470,887,318,983,927,812,590,574,032,397,874,
396,645,539,392,709,453,136,414,029,144,493,749,808,573,843,485,504,330,781,
304,026,663,175,663,001,627,624,150,635,351,804,573,743,764,855,432,011,341,
319,260,628,413,321,992,290,474,188,747,687,520,107,934,515,816,011,530,396,
963,031,918,043,338,228,910,820,686,640,979,852,937,269,185,142,590,735,380,
291,530,208,792,962,186,212,125,312,221,093,433,216,428,377,233,250,171,780,
109,109,586,716,977,253,392,157,200,382,423,610,892,785,682,511,565,412,410,
466,170,681,034,813,994,347,358,313,373,661,179,857,345,942,188,197,636,496,
021,195,093,691,795,556,131,343,678,348,517,993,773,307,934,280,760,014,553,
980,066,007,261,381,637,920,777,061,117,125,093,518,808,683,642,866,369,848,
368,230,185,358,547,462,576,717,559,851,554,704,463,637,618,859,133,129,746,
356,057,145,244,252,556,347,061,164,332,435,957,811,435,989,962,744,799,128,
700,498,900,716,437,017,955,890,354,408,382,843,586,947,378,244,697,377,428,
698,986,802,989,494,199,076,982,678,644,763,101,744,818,705,722,107,978,859,
781,012,046,536,326,226,566,085,287,498,839,349,735,540,850,904,423,833,004,
469,895,671,711,191,430,796,688,601,520,961,532,043,546,890,934,490,960,056,
671,864,581,469,767,970,861,714,643,199,555,486,696,276,403,210,668,868,518,
312,119,958,080,211,744,409,161,061,590,358,138,743,678,533,599,350,916,343,
521,412,187,444,159,981,271,679,024,052,084,465,477,100,822,253,549,374,310,
852,320,261,856,910,912,548,863,548,368,653,877,383,627,615,171,666,608,584,
076,117,841,302,122,956,046,860,834,432,358,567,788,617,698,309,574,170,949,
894,078,841,303,465,401,757,004,758,712,593,122,708,946,164,654,121,928,744,
506,885,804,285,590,082,351,629,157,473,701,226,135,077,474,357,930,137,317,
727,649,073,224,290,087,558,621,623,941,749,470,653,945,670,087,110,009,880,
071,939,244,389,300,520,105,651,403,948,409,030,219,999,875,752,870,456,202,
200,610,486,243,438,873,198,199,572,915,129,563,372,999,780,214,794,256,431,
750,509,056,722,703,650,749,206,482,345,458,627,900,334,608,116,622,526,110,
080,740,136,578,280,291,643,084,781,866,267,229,352,334,724,685,749,231,510,
275,239,920,339,205,351,862,447,596,041,554,260,754,397,468,928,275,469,703,
908,615,169,335,079,989,925,721,003,266,907,828,085,150,563,403,361,015,964,
996,834,604,575,507,833,484,129,406,141,285,567,090,172,810,073,029,750,480,
343,968,713,362,896,866,293,555,305,112,308,286,485,239,602,457,785,242,104,
304,782,295,265,601,522,536,750,354,312,226,114,147,288,279,130,034,696,246,
321,156,978,002,741,491,006,539,976,538,805,866,560,319,510,563,733,919,495,
560,865,895,460,902,080,423,834,916,906,500,284,023,594,062,836,583,578,298,
111,340,087,156,738,614,360,582,984,377,820,975,758,122,034,372,995,047,103,
319,077,750,009,544,615,354,005,926,351,381,429,104,868,465,024,919,157,397,
215,305,428,412,006,049,701,933,116,305,397,907,226,924,827,576,490,046,676,
031,681,503,547,334,351,671,097,554,567,163,734,173,274,271,547,415,621,736,
150,007,846,327,293,516,483,715,375,227,486,378,989,337,089,099,390,723,488,
496,170,250,326,528,146,140,221,343,445,486,641,363,977,479,953,051,275,716,
741,865,981,212,207,353,575,798,717,958,008,553,156,572,146,394,981,760,592,
774,240,080,053,161,712,419,982,143,612,842,869,801,954,964,264,306,649,992,
256,039,146,303,942,657,411,835,864,329,350,097,252,596,303,978,540,891,984,
495,143,052,762,434,492,736,494,547,627,457,886,048,977,776,791,535,003,580,
704,666,685,971,294,802,392,531,806,778,380,714,255,547,089,397,564,725,066,
346,106,658,017,807,935,035,224,230,140,683,384,960,272,064,647,740,256,504,
906,497,981,509,036,495,176,400,917,067,446,049,139,435,033,229,574,057,839,
696,815,397,117,427,131,784,776,054,992,757,051,793,698,756,787,703,838,778,
822,647,691,432,692,174,648,688,408,939,775,983,844,489,740,870,179,645,154,
621,838,757,610,793,599,058,229,187,083,411,845,896,755,307,088,154,766,686,
830,851,142,197,414,271,899,356,327,544,743,078,697,699,540,126,793,426,293,
527,094,165,010,908,925,482,095,531,631,044,662,522,138,454,287,508,291,383,
429,380,528,010,960,637,823,234,748,762,105,861,501,041,619,229,643,936,896,
299,660,808,371,603,508,995,889,225,959,967,850,559,930,231,659,128,817,112,
249,504,209,280,700,194,338,367,754,060,690,078,501,465,553,408,431,529,476,
254,468,057,917,530,448,086,372,571,919,784,973,113,887,783,620,780,882,392,
496,037,735,506,164,868,777,327,320,890,263,952,393,122,007,971,566,763,421,
270,364,107,502,019,094,808,749,406,185,757,951,572,356,014,301,119,427,506,
204,760,993,458,053,320,412,596,360,187,551,821,252,697,537,680,748,038,219,
958,736,715,344,207,347,460,014,154,301,410,780,136,795,776,224,195,448,251,
417,738,610,755,103,819,700,655,043,174,620,265,228,023,994,160,280,653,882,
579,152,946,620,810,470,788,337,775,703,092,322,415,205,563,444,176,558,696,
250,870,924,227,773,932,753,741,988,145,234,759,769,841,232,665,059,971,598,
561,022,773,538,965,368,918,315,511,809,988,790,510,038,067,413,069,176,061,
062,516,981,005,209,224,501,004,229,117,770,505,873,631,069,441,056,726,944,
933,676,281,528,468,309,813,256,365,757,178,633,789,156,300,274,060,988,563,
385,524,461,796,269,805,384,038,828,678,799,095,660,480,565,025,400,769,852,
881,517,809,946,965,923,648,853,260,110,016,759,941,079,476,461,686,324,800,
800,055,515,111,510,615,220,940,364,977,640,092,276,447,735,981,487,760,931,
369,861,355,450,801,907,122,501,470,483,367,882,186,118,266,966,895,372,172,
877,615,415,843,789,076,111,954,273,422,124,878,375,325,924,844,541,777,647,
406,462,899,401,686,854,104,290,620,246,689,810,068,648,434,149,864,238,342,
761,997,090,683,490,970,929,112,563,098,287,352,486,805,626,218,472,027,088,
205,048,254,302,471,949,633,596,732,367,403,992,261,261,840,079,433,083,482,
973,698,714,738,363,914,460,237,468,193,811,232,727,597,860,288,093,440,348,
693,304,770,474,803,224,430,284,762,119,444,668,144,840,780,403,498,646,664,
261,835,172,163,917,364,413,019,316,145,119,819,909,432,906,577,349,108,649,
881,143,399,019,735,464,368,848,370,018,462,048,244,596,111,113,289,036,942,
925,353,800,618,802,002,349,658,096,227,258,704,615,700,896,158,390,000,014,
510,564,078,159,114,977,645,901,403,671,468,708,973,484,689,294,919,743,509,
696,504,661,796,696,563,818,502,967,191,103,519,095,231,385,136,713,841,248,
536,079,415,309,291,802,202,025,142,296,767,405,379,189,772,298,433,457,055,
088,215,615,808,152,181,159,474,109,526,280,092,141,338,880,321,103,345,767,
095,780,546,149,663,908,551,423,129,721,845,060,780,668,336,826,855,781,408,
813,020,863,274,347,827,609,618,616,860,974,404,131,478,005,333,277,267,599,
675,933,741,900,766,153,934,584,900,700,244,537,924,227,355,948,383,322,252,
357,337,644,103,619,123,253,508,480,869,687,854,135,158,136,285,628,348,976,
358,523,141,883,726,921,821,706,970,197,716,608,888,598,882,032,517,401,440,
196,797,245,501,948,271,830,381,646,641,853,490,160,424,384,765,198,958,150,
202,377,228,727,223,934,112,394,124,852,475,504,886,031,139,552,736,839,068,
108,694,416,237,791,789,290,559,715,055,875,094,239,067,940,562,199,114,791,
798,491,817,168,482,514,949,520,925,073,902,164,822,893,678,344,545,653,566,
837,745,167,789,283,102,161,347,699,460,399,885,233,595,792,268,222,745,297,
511,923,664,078,771,200,265,374,101,585,210,665,194,510,653,521,703,134,404,
219,109,874,370,753,561,030,920,252,842,946,077,564,819,427,301,148,247,019,
662,383,560,903,242,189,994,643,348,677,184,095,986,621,885,834,425,508,095,
655,945,478,973,594,205,865,907,285,039,008,151,022,693,519,516,710,763,413,
688,302,671,919,449,791,888,657,755,595,245,812,586,360,014,964,554,263,455,
567,856,296,189,429,406,823,131,801,528,947,880,632,469,401,922,710,350,564,
883,842,107,894,063,230,704,840,582,144,805,583,205,611,028,478,469,823,647,
773,204,643,004,464,278,814,805,399,264,416,629,182,712,471,061,344,742,814,
560,731,951,995,754,498,565,713,650,254,115,938,877,678,783,358,862,487,619,
835,235,308,039,866,506,771,286,012,241,965,535,976,148,194,562,237,100,826,
334,778,247,949,569,648,614,576,120,500,452,894,605,869,428,561,988,725,319,
457,871,727,363,642,990,116,005,888,594,598,258,996,532,461,905,281,620,272,
007,330,080,781,376,918,274,596,302,981,293,652,528,769,611,656,149,716,611,
085,733,676,193,870,084,420,082,211,853,648,341,371,333,361,230,786,827,718,
398,148,477,867,846,254,772,899,745,036,463,392,871,128,059,524,529,007,689,
913,277,893,970,688,964,589,429,579,171,672,259,778,148,827,652,830,739,442,
034,976,807,012,376,856,443,935,735,087,151,387,181,898,997,837,382,490,101,
012,670,951,964,233,619,058,190,066,564,702,321,281,467,560,574,131,908,246,
011,374,848,936,011,339,658,797,343,262,952,357,401,509,718,160,080,334,887,
646,819,289,836,577,362,916,015,775,571,577,455,278,270,910,743,698,367,083,
087,174,785,770,180,143,622,440,285,864,376,139,120,565,731,249,822,516,311,
731,861,640,218,312,211,943,835,231,715,809,271,945,337,967,850,060,060,490,
359,072,024,159,102,226,723,613,056,675,293,703,345,891,490,194,331,264,928,
295,967,234,686,320,773,298,085,095,966,164,672,812,873,336,703,267,487,866,
706,730,186,841,395,708,693,464,127,662,488,480,183,645,795,299,942,640,664,
711,118,921,493,622,651,232,626,798,734,512,953,530,065,964,180,334,804,834,
904,146,605,419,657,978,521,196,922,062,747,258,844,820,148,742,500,668,970,
957,715,321,656,739,600,217,109,991,897,472,743,070,998,483,376,034,846,605,
715,273,682,620,907,519,809,574,987,233,541,297,857,920,008,035,337,009,869,
219,210,591,873,500,735,633,224,151,361,644,972,447,165,590,842,556,791,605,
316,844,046,478,213,316,180,587,579,251,821,088,443,611,465,459,263,148,261,
235,638,022,873,890,186,410,915,348,565,886,620,219,942,622,067,936,317,212,
725,259,572,719,255,398,655,464,745,986,941,938,934,875,371,946,264,972,893,
307,896,557,436,737,965,093,474,105,134,053,916,130,313,871,586,438,019,473,
214,579,687,782,665,719,518,312,426,681,130,575,825,541,538,296,020,992,942,
648,181,478,328,101,434,394,763,893,138,912,302,327,032,463,827,797,032,106,
762,419,584,096,183,142,752,331,696,006,731,352,341,332,349,947,501,503,132,
506,751,073,410,362,191,885,750,388,863,714,706,974,105,469,731,972,560,324,
141,626,090,803,111,132,043,250,552,748,162,347,264,452,677,934,702,063,064,
081,710,329,172,887,951,962,046,117,744,146,721,444,473,791,461,239,221,676,
284,533,739,764,453,917,031,215,464,666,737,872,102,091,068,439,995,682,123,
297,366,934,007,253,740,467,668,109,484,663,599,052,679,771,504,968,010,453,
407,910,003,832,942,724,865,468,749,053,308,811,734,377,529,617,574,962,613,
073,360,345,922,892,771,727,977,841,845,247,583,390,865,850,831,466,477,569,
372,402,041,013,892,398,221,510,030,151,964,238,607,639,896,394,590,004,477,
390,081,405,796,755,422,741,238,508,526,070,126,148,009,560,723,167,577,462,
061,790,717,585,940,900,983,993,364,894,259,858,460,146,329,120,442,265,098,
551,560,820,410,746,897,721,007,882,751,092,402,466,119,643,536,315,542,368,
123,794,610,318,763,869,585,145,440,908,803,243,327,074,676,472,525,450,790,
094,053,228,483,570,172,291,334,519,574,308,653,436,188,897,291,805,733,951,
485,469,154,027,053,602,322,506,290,275,540,379,034,632,993,225,469,362,047,
568,659,243,069,105,884,847,359,076,393,098,825,682,869,814,862,932,136,399,
954,118,413,886,699,251,917,090,417,596,921,682,960,154,628,811,445,670,436,
560,866,819,249,583,683,005,155,023,548,619,023,209,636,882,256,803,019,374,
632,214,551,925,362,928,569,899,526,847,583,911,374,348,399,029,096,093,577,
707,450,384,841,265,060,729,017,400,595,402,446,371,661,348,765,167,184,072,
658,803,390,287,728,155,730,759,923,878,130,948,437,485,223,600,161,316,407,
482,816,190,352,701,929,247,286,061,553,776,206,078,732,911,785,377,742,346,
234,753,948,907,510,718,200,394,369,616,544,045,139,642,580,975,109,084,912,
946,613,189,588,047,364,374,261,132,625,482,614,160,931,472,666,047,444,348,
929,819,612,282,538,354,458,285,515,532,013,304,466,378,756,809,790,330,821,
949,479,231,895,568,914,940,637,134,199,713,297,812,906,583,472,982,757,330,
902,283,090,830,352,717,357,277,051,877,663,279,618,901,619,535,959,539,980,
523,430,347,606,762,116,441,214,809,749,747,139,127,116,626,584,431,449,314,
003,258,239,838,908,899,863,251,992,126,777,896,525,057,139,384,568,914,850,
289,829,934,810,735,639,508,552,402,110,849,620,250,345,993,129,843,597,697,
861,325,852,004,253,482,951,530,920,622,499,357,017,728,429,833,176,214,635,
878,697,100,682,315,973,398,607,655,907,159,751,100,221,669,607,842,843,973,
654,344,301,913,454,166,301,264,606,005,313,403,456,273,615,447,478,693,128,
220,668,504,962,341,465,775,030,720,251,066,852,377,412,773,770,799,731,052,
244,772,872,420,382,600,639,246,859,744,696,237,636,191,593,745,875,032,759,
110,577,849,689,567,339,969,759,564,393,653,067,301,037,910,253,329,958,430,
095,312,936,211,826,103,096,191,780,192,243,586,200,983,736,542,883,578,773,
202,857,098,125,239,010,860,979,279,720,650,129,554,211,162,913,400,270,699,
161,472,461,173,424,461,533,732,288,760,538,949,392,265,572,927,075,749,695,
521,173,212,794,250,298,480,194,716,169,082,743,966,262,220,427,352,753,227,
617,732,250,561,831,592,527,969,170,464,075,522,542,002,821,024,015,206,836,
621,042,023,382,016,250,597,133,162,873,408,600,843,887,199,626,110,435,265,
410,222,742,955,130,315,275,702,585,257,109,845,874,975,926,460,770,115,959,
088,138,963,301,737,034,522,837,892,344,670,870,066,469,155,278,961,251,297,
372,956,118,458,502,505,244,857,957,447,346,416,547,309,621,970,694,348,786,
031,228,715,515,749,847,126,069,286,316,387,030,808,719,377,838,088,595,667,
806,834,278,523,588,113,411,225,787,148,992,117,868,853,377,222,083,104,233,
480,911,852,309,998,241,286,711,383,786,313,691,625,931,323,159,055,057,940,
205,621,584,070,476,167,139,808,808,156,905,145,206,254,118,066,413,574,877,
716,317,642,650,038,349,425,971,538,257,116,134,396,686,269,148,911,697,178,
515,684,342,232,401,710,639,908,590,255,381,992,127,923,231,116,476,000,554,
765,445,507,027,530,722,773,762,387,185,150,345,472,070,083,561,044,490,567,
189,836,712,077,400,571,670,964,988,167,047,397,133,993,588,116,382,259,385,
130,466,172,560,811,062,036,612,596,947,902,406,594,933,363,048,209,835,736,
773,164,987,233,869,190,098,153,636,897,356,805,589,583,825,608,273,434,552,
631,368,178,736,004,873,057,609,410,027,449,805,933,813,729,227,988,894,547,
629,017,272,188,219,888,973,344,265,107,363,787,853,287,891,535,979,234,090,
287,981,880,664,935,221,926,848,715,178,607,110,170,794,399,814,799,214,414,
982,827,565,661,104,883,708,407,894,728,495,419,679,009,632,157,602,231,591,
289,101,523,507,959,649,463,470,185,112,193,468,567,120,301,926,176,263,379,
542,376,030,584,878,622,710,519,338,960,992,327,745,871,245,358,090,751,172,
247,421,700,559,710,617,149,869,690,556,636,266,958,513,880,987,396,404,351,
739,427,139,270,379,452,540,468,421,565,990,563,336,433,865,510,833,949,579,
134,094,765,699,854,496,576,827,224,184,641,287,787,121,317,957,831,273,914,
418,302,466,918,196,591,332,532,639,998,230,177,876,423,836,431,993,571,732,
977,862,514,744,305,575,653,884,762,654,214,233,370,643,860,577,882,722,603,
302,724,641,450,921,198,447,445,871,033,622,365,594,865,981,747,575,438,570,
613,829,351,881,512,936,809,222,281,255,332,566,694,235,634,867,816,830,202,
457,132,843,825,118,460,981,726,315,599,186,466,544,704,119,318,246,889,099,
839,392,474,258,584,061,340,171,245,790,229,569,060,881,292,940,680,661,319,
246,225,557,352,178,552,012,059,769,342,861,325,093,890,574,835,334,273,976,
201,137,864,724,045,149,715,963,563,008,525,327,579,145,293,510,054,085,133,
701,751,897,893,209,912,600,760,775,248,428,375,963,646,781,184,695,580,278,
368,589,900,348,225,714,694,726,408,386,829,564,477,636,159,986,296,012,261,
931,958,520,853,669,308,159,272,986,048,725,000,945,242,989,870,564,295,925,
353,057,242,471,521,330,161,932,120,187,097,690,084,506,630,539,178,814,704,
869,105,043,360,526,395,702,536,694,932,034,080,980,855,198,872,259,648,344,
997,385,368,668,158,535,206,715,521,401,904,747,131,798,068,944,205,989,773,
911,754,912,432,541,227,442,059,361,625,396,982,963,628,619,523,602,122,151,
818,815,555,450,614,867,856,860,375,582,551,157,737,132,004,730,464,773,734,
459,376,657,301,251,914,025,326,917,924,388,209,211,709,744,011,508,203,893,
364,902,693,781,655,722,699,363,648,021,188,417,852,683,253,169,792,493,020,
909,502,987,207,220,427,319,572,349,653,823,891,639,261,228,213,262,277,155,
335,720,109,816,198,749,958,804,235,699,349,527,143,922,736,643,285,799,029,
272,032,139,315,427,150,877,473,102,800,176,330,184,442,986,425,500,166,265,
221,572,803,287,343,585,151,374,966,073,311,598,231,593,023,971,610,717,941,
269,852,983,479,197,115,474,608,380,563,746,822,787,631,610,465,383,026,230,
646,519,367,701,072,046,987,350,154,217,559,523,964,967,111,095,624,079,682,
718,440,752,140,187,399,341,724,489,589,399,318,441,402,370,547,246,638,812,
505,757,462,219,403,203,046,218,530,306,912,839,497,645,055,257,619,921,103,
995,974,502,036,352,029,802,988,644,662,805,397,305,606,495,124,014,945,618,
378,018,174,865,259,912,789,743,127,994,174,831,782,570,554,180,826,065,670,
480,436,254,864,836,578,584,786,437,581,937,112,056,950,156,675,389,725,391,
779,543,862,962,612,969,738,196,408,191,478,376,694,301,398,895,551,255,725,
350,303,241,218,012,679,152,859,559,167,713,951,449,106,988,757,653,622,313,
044,188,618,868,813,947,509,157,990,236,716,467,153,138,686,074,665,725,179,
380,584,418,649,074,456,448,380,722,401,577,731,012,353,846,718,512,922,971,
742,650,389,297,962,498,246,529,655,108,262,043,009,859,618,583,972,355,480,
216,300,745,927,527,894,046,513,921,063,530,718,695,448,140,353,665,005,387,
153,130,001,139,482,058,974,843,627,201,911,956,057,215,166,154,384,695,744,
003,259,276,479,353,025,729,958,215,907,521,506,060,589,266,978,723,431,407,
697,948,528,322,333,099,469,702,074,090,445,405,760,514,202,577,816,079,816,
876,279,409,065,270,347,376,099,345,290,934,473,137,850,815,465,442,405,169,
397,321,832,186,882,166,089,003,777,064,443,068,479,061,451,796,683,125,976,
009,225,407,682,117,392,241,485,542,560,119,760,215,266,762,396,905,349,745,
683,960,338,713,305,254,572,621,904,341,876,461,636,648,903,191,891,329,667,
942,465,941,256,995,125,903,011,463,520,963,612,877,950,364,893,637,486,450,
413,175,530,893,141,449,677,853,991,866,205,490,451,517,856,585,556,655,719,
046,356,729,113,636,810,109,408,347,051,320,517,504,005,282,126,790,604,907,
987,198,979,807,928,413,032,366,125,665,344,880,555,438,772,148,723,678,996,
452,703,161,670,718,387,650,439,786,521,831,001,893,378,416,446,322,968,592,
587,279,898,092,489,537,935,388,403,782,645,972,454,362,013,506,825,167,977,
866,197,569,797,957,195,662,406,208,486,930,115,999,705,303,915,147,133,149,
137,257,701,546,855,952,125,812,054,197,487,073,668,408,758,849,181,970,841,
437,705,734,199,735,192,219,711,426,425,429,437,880,342,356,943,517,520,097,
815,592,394,851,124,086,780,116,585,498,678,450,574,085,618,930,598,367,694,
552,330,054,218,551,915,249,793,164,952,751,065,388,546,914,907,447,910,376,
569,013,287,077,116,935,565,164,930,415,098,534,582,536,415,271,617,288,537,
147,144,533,863,177,715,221,813,540,009,268,523,530,384,117,215,179,188,002,
265,513,199,934,703,210,789,252,692,341,963,742,390,373,163,452,062,786,417,
143,064,620,536,473,107,230,379,653,928,094,711,010,613,560,376,155,201,104,
442,602,598,868,971,775,385,502,946,266,060,314,157,324,779,826,588,009,555,
451,065,683,279,551,455,725,139,446,460,309,183,345,084,004,123,255,332,945,
701,971,759,746,011,247,560,423,214,797,545,484,204,342,598,379,133,930,300,
556,886,724,955,738,890,732,616,547,034,963,053,439,387,894,134,696,087,398,
469,228,575,907,706,890,161,919,673,435,102,543,288,960,587,333,076,645,398,
022,486,106,827,435,030,233,786,872,937,255,415,069,523,493,760,834,887,964,
982,737,185,238,091,795,957,863,296,696,186,214,321,411,374,888,095,747,454,
640,098,490,630,635,906,966,221,177,032,796,389,490,051,756,698,460,354,990,
283,103,250,855,455,051,397,024,765,289,482,813,271,427,419,644,671,312,482,
028,320,440,666,712,053,320,057,984,791,739,831,080,074,122,370,841,520,971,
579,692,988,783,914,924,649,716,664,103,250,315,349,622,351,601,447,933,474,
090,020,562,469,788,197,196,027,255,261,153,706,727,427,559,502,591,074,682,
787,219,280,387,453,174,956,557,565,134,723,830,965,171,814,764,150,012,621,
975,426,046,578,058,625,558,332,551,029,624,023,226,272,622,427,645,144,195,
769,944,128,134,944,413,169,799,735,496,013,672,159,316,842,590,540,584,324,
187,880,128,679,082,151,665,122,517,017,230,285,567,326,706,159,434,493,825,
963,667,729,605,282,736,832,345,991,768,696,152,289,169,360,132,922,266,323,
596,327,144,475,503,325,401,724,989,641,908,685,965,821,147,900,598,110,312,
108,338,059,302,019,249,319,443,726,413,710,255,538,476,917,770,479,233,085,
733,679,136,721,856,823,750,377,605,820,379,170,892,532,715,132,185,699,203,
081,889,997,853,690,542,339,224,988,415,699,887,803,074,647,658,473,302,141,
318,845,948,015,728,794,349,911,408,011,307,174,461,687,960,608,166,259,128,
284,911,544,629,875,777,088,053,521,725,385,984,408,670,919,027,828,575,438,
408,825,152,900,237,400,784,330,946,568,008,087,317,175,871,230,421,240,689,
620,085,934,612,524,450,961,861,105,388,729,018,655,802,961,477,637,541,374,
334,477,897,823,319,867,774,501,567,676,327,642,748,232,815,915,499,321,354,
148,975,851,507,492,100,212,731,874,467,444,100,423,447,753,200,700,767,958,
254,131,654,185,661,322,452,821,908,801,909,440,834,779,167,652,533,026,431,
120,169,369,416,083,478,352,922,459,420,832,873,464,896,138,191,692,409,996,
123,785,670,531,579,147,882,584,010,691,084,137,722,858,312,068,548,601,010,
382,589,615,943,695,795,467,883,665,428,990,816,648,724,941,999,011,137,370,
320,526,912,442,566,737,051,228,260,028,564,352,835,512,255,377,705,594,973,
939,425,714,289,601,978,094,389,983,512,367,612,092,541,236,089,110,082,253,
381,649,457,330,137,981,247,685,653,168,387,419,164,247,851,553,818,054,980,
784,367,278,636,540,424,153,960,726,540,831,840,124,269,278,492,312,531,824,
453,214,350,600,357,438,802,727,620,305,216,434,518,255,909,052,350,201,516,
787,397,155,132,215,556,433,291,181,635,132,802,458,205,241,401,562,896,433,
305,798,803,613,146,367,262,937,207,335,842,614,759,963,070,800,969,752,162,
541,765,287,631,264,503,369,936,694,849,525,073,381,264,082,064,547,162,830,
917,382,766,668,483,784,811,003,490,926,215,320,453,761,764,655,724,316,644,
233,323,461,052,450,648,181,135,211,829,810,707,768,279,392,251,788,225,340,
267,660,990,757,438,541,514,823,275,916,277,675,566,279,655,902,568,531,664,
749,316,911,998,970,055,000,313,625,402,412,340,954,902,843,579,291,746,627,
362,579,257,232,027,032,630,754,554,170,858,055,713,994,711,639,496,078,138,
612,911,868,347,461,311,730,060,897,926,056,547,948,912,837,418,422,926,744,
290,051,837,296,698,007,010,978,289,346,896,482,647,207,623,235,837,048,587,
994,619,879,741,110,069,582,832,478,973,803,872,137,958,153,159,626,598,437,
595,043,325,332,310,695,167,377,994,914,337,629,338,045,787,669,578,019,446,
852,500,248,726,378,385,930,641,416,860,278,504,843,983,325,389,891,510,670,
012,729,265,171,184,027,416,303,646,566,346,898,260,768,150,363,831,913,460,
978,562,248,932,566,555,815,371,018,269,630,233,688,011,644,488,317,892,355,
002,494,631,577,873,815,846,433,678,123,358,909,664,224,115,977,877,551,891,
539,113,464,177,108,457,591,917,132,819,826,242,775,543,914,519,582,540,751,
983,365,856,026,337,833,322,815,354,820,474,496,220,752,323,934,498,064,384,
632,189,883,089,437,432,074,962,017,042,600,132,875,876,092,994,813,332,606,
525,098,736,591,957,519,023,950,540,574,413,415,466,113,866,457,567,343,712,
546,052,680,972,681,327,650,919,453,493,077,565,848,483,278,842,735,235,688,
554,376,354,091,050,739,752,998,257,297,607,845,655,003,723,791,279,169,752,
716,291,245,354,014,413,235,152,637,149,499,602,110,895,262,122,363,921,147,
860,594,183,994,178,941,078,533,373,898,563,211,081,708,207,070,255,844,184,
329,302,655,574,220,235,038,682,512,844,831,047,345,546,431,415,825,766,474,
607,442,182,325,344,507,238,171,288,469,619,877,577,615,822,282,787,350,193,
479,982,919,533,635,804,658,885,279,727,486,541,101,708,334,209,004,120,187,
041,778,506,747,590,817,793,162,649,702,087,603,364,478,082,863,161,929,361,
232,876,764,287,582,984,782,530,035,263,791,215,291,253,042,287,251,905,442,
273,825,543,647,076,302,602,753,580,719,292,963,178,088,665,788,138,168,006,
048,157,213,564,709,953,450,741,945,837,905,256,588,895,490,706,640,040,004,
604,295,372,026,947,741,458,825,095,746,413,260,197,669,916,867,866,330,014,
911,677,536,728,743,893,513,427,778,439,276,312,378,438,763,673,742,674,779,
310,659,590,202,005,365,011,246,003,970,872,786,421,228,472,996,745,718,809,
580,115,548,234,866,825,395,762,971,926,307,755,273,877,349,637,135,846,742,
893,484,422,765,882,932,748,654,972,011,727,556,077,680,817,021,115,670,245,
205,869,213,772,316,619,944,956,922,347,843,244,725,889,819,543,146,743,685,
503,509,530,108,954,399,989,255,346,683,310,136,194,551,824,992,060,105,612,
931,036,841,301,170,366,745,542,433,154,608,719,014,641,374,288,626,194,583,
774,041,981,702,979,251,291,325,057,954,455,370,548,601,924,048,490,158,436,
653,499,086,418,630,039,953,665,373,027,465,964,400,534,658,844,984,519,799,
795,892,781,058,815,414,007,142,873,601,234,485,893,660,030,217,047,820,757,
110,806,043,618,373,517,041,232,359,872,884,509,584,292,384,684,659,485,727,
034,986,904,002,504,845,840,842,236,348,605,482,262,629,060,842,667,364,713,
025,703,612,064,442,599,694,132,186,691,662,660,827,439,394,867,104,416,445,
943,593,927,343,737,066,532,387,105,278,471,478,268,894,991,107,354,451,980,
972,210,498,870,187,411,942,160,256,487,931,698,530,391,903,220,131,272,246,
554,681,011,225,177,518,391,881,622,908,256,202,078,079,526,893,338,713,715,
278,325,378,825,085,928,718,053,138,015,934,991,144,674,803,671,596,687,858,
874,688,916,421,713,838,167,497,252,364,149,946,467,820,515,576,846,662,187,
966,748,340,966,554,561,703,419,020,006,825,497,768,623,632,363,219,475,627,
158,449,247,769,930,812,239,980,997,354,144,696,947,634,149,723,326,225,105,
172,734,374,440,706,847,218,027,334,516,314,439,060,442,262,621,297,017,542,
153,143,856,052,490,658,015,994,334,885,963,263,296,509,582,221,601,608,080,
875,392,707,364,978,215,443,256,562,311,420,259,852,791,305,283,669,540,052,
377,985,407,179,293,709,104,615,589,798,628,512,277,578,002,576,643,523,778,
195,018,557,148,230,527,021,671,183,293,261,474,880,517,075,261,972,944,350,
009,139,472,977,000,912,126,663,406,759,237,727,378,835,406,962,638,473,549,
616,450,223,424,041,401,641,836,304,158,180,477,929,594,991,451,410,957,464,
314,664,490,340,898,895,163,398,953,274,599,577,185,442,786,495,939,106,033,
602,278,071,036,467,306,036,265,097,294,210,746,234,669,573,360,457,585,956,
099,969,880,155,380,333,271,235,534,029,157,751,788,806,254,265,472,540,636,
430,257,539,937,160,290,841,686,198,858,322,319,810,424,433,762,178,988,878,
803,613,505,182,113,275,063,438,640,827,434,219,583,785,027,366,018,270,560,
495,924,751,870,861,097,863,996,059,750,648,136,952,286,711,507,183,789,508,
441,696,360,386,985,131,299,629,119,084,052,935,039,053,034,057,516,220,125,
600,036,845,384,997,484,283,604,151,576,343,075,777,541,294,741,326,090,947,
662,829,158,138,149,238,411,977,148,571,408,638,953,843,311,089,695,409,140,
254,010,881,778,909,773,152,517,538,269,229,455,502,656,969,151,799,411,104,
355,854,917,795,687,991,309,234,032,014,843,616,315,875,916,143,356,756,348,
345,992,450,545,197,979,258,322,699,995,635,612,980,506,499,219,186,474,597,
432,684,521,246,518,685,572,148,123,653,787,217,849,849,225,350,926,878,753,
223,526,594,580,304,879,443,112,700,105,493,181,305,837,403,627,937,646,154,
559,120,244,161,623,110,162,168,222,151,595,384,222,324,910,888,730,145,250,
211,363,458,707,388,364,211,862,162,277,837,740,945,685,726,687,790,431,215,
763,474,386,970,635,499,150,854,669,637,107,447,428,669,589,404,951,504,439,
127,788,327,852,727,857,777,771,715,994,707,964,130,927,823,841,378,916,821,
604,470,668,727,494,058,122,868,499,563,974,663,640,716,490,846,355,338,164,
947,739,000,698,346,511,083,435,835,515,793,558,294,723,221,483,767,426,504,
972,989,983,704,493,452,587,114,377,167,015,463,817,214,081,026,373,207,182,
285,204,933,352,505,065,272,384,143,012,339,799,049,035,872,663,897,155,251,
971,217,966,571,241,197,168,132,726,942,688,041,033,592,577,564,256,206,613,
220,981,778,039,838,012,168,701,014,575,191,493,380,420,036,106,504,239,162,
428,897,650,310,712,061,274,113,586,580,482,844,131,847,119,538,635,526,838,
234,677,879,254,373,439,943,316,394,515,335,632,005,479,871,918,245,066,729,
330,565,301,398,259,910,398,767,323,821,674,773,881,736,912,851,862,202,861,
616,875,505,508,055,534,226,910,875,060,996,957,011,617,815,884,810,977,642,
203,814,189,111,225,243,457,750,116,488,449,172,016,724,758,290,150,402,740,
803,636,593,074,567,177,270,380,755,579,419,722,968,891,267,897,592,351,742,
984,295,232,327,400,203,768,775,748,015,936,859,721,126,755,759,217,177,836,
014,990,432,023,767,153,579,148,549,513,789,211,171,444,329,741,865,013,751,
919,039,631,315,477,732,692,182,471,559,416,121,182,015,877,390,842,523,881,
816,866,085,089,014,338,453,835,493,999,334,293,487,860,463,157,421,658,599,
857,468,325,401,540,428,665,251,343,049,108,708,877,843,037,206,475,075,152,
909,250,741,702,727,781,001,575,063,206,455,603,557,578,926,498,584,980,330,
516,266,712,798,121,112,325,006,604,458,985,730,963,238,223,907,337,374,945,
770,938,190,513,204,974,727,498,701,754,372,463,037,983,578,805,566,776,692,
275,652,386,422,999,851,240,341,740,638,534,374,732,096,585,334,111,077,235,
411,506,401,927,257,616,499,335,983,881,254,931,065,673,653,345,538,963,204,
176,142,514,055,468,538,643,879,139,187,725,024,678,476,783,504,902,619,228,
394,482,729,994,573,685,715,670,144,268,383,658,689,800,081,559,354,743,892,
389,755,412,865,003,541,497,108,984,361,426,228,327,755,559,952,593,883,223,
344,361,979,393,061,682,102,761,790,631,884,145,764,358,182,655,098,530,880,
939,920,981,692,074,990,098,621,672,310,531,226,635,889,406,826,348,133,410,
571,368,823,952,455,592,889,700,171,242,861,527,711,510,135,823,834,371,182,
677,767,854,780,273,490,260,392,543,937,419,045,659,969,004,384,028,857,354,
630,849,408,133,390,323,811,128,066,897,228,654,091,364,059,976,334,670,474,
058,837,166,595,462,204,009,758,614,412,599,281,692,402,694,796,565,878,786,
920,569,021,509,401,950,800,676,795,548,806,735,488,941,671,934,610,685,915,
500,996,247,864,929,316,122,609,860,307,136,033,448,059,012,005,341,401,520,
489,978,375,420,909,221,610,392,981,152,985,148,590,146,858,336,917,000,942,
471,548,639,150,368,691,471,516,145,239,781,602,099,334,151,608,335,749,362,
229,566,494,696,470,172,776,619,366,714,596,662,184,226,655,412,989,080,177,
974,600,057,919,137,974,270,181,747,472,526,944,299,010,328,107,919,633,654,
031,216,633,506,689,379,679,790,959,618,546,189,806,795,891,632,275,934,087,
581,249,525,744,235,752,567,458,797,677,047,529,170,498,376,540,138,461,313,
167,690,051,565,934,418,343,040,344,821,583,777,319,464,422,305,442,984,708,
469,014,545,633,357,942,500,623,691,390,015,782,964,881,402,296,425,369,137,
426,337,746,590,808,800,896,083,457,026,146,136,849,549,698,882,047,985,023,
293,087,541,584,277,197,292,265,637,997,253,956,636,756,617,164,139,143,756,
597,457,066,377,769,161,265,571,713,797,773,608,374,214,249,980,813,399,121,
005,331,888,595,758,429,416,186,754,419,338,925,232,540,562,240,756,704,555,
177,191,434,979,343,909,432,342,004,003,476,641,065,991,566,002,503,068,209,
166,711,476,494,078,262,985,866,954,078,243,814,361,106,787,650,322,077,484,
177,858,506,063,527,488,099,601,316,840,557,174,791,383,090,664,988,439,117,
713,033,250,212,442,116,156,131,423,438,573,576,036,434,126,376,655,537,084,
658,176,670,321,357,469,338,648,638,140,015,397,563,741,381,374,730,453,118,
243,047,131,950,591,834,974,635,510,697,418,191,511,031,426,301,670,327,142,
138,331,880,028,695,172,955,330,822,088,411,562,171,326,989,120,473,983,738,
676,144,382,655,587,596,690,127,970,947,978,385,361,953,598,603,529,482,828,
988,903,359,271,386,485,215,792,866,409,585,012,984,220,486,249,110,130,565,
420,702,330,154,879,306,468,106,859,007,323,826,590,987,363,339,749,660,352,
954,559,483,975,056,263,887,425,933,735,180,771,418,755,196,288,151,327,484,
424,365,475,868,171,509,195,454,535,893,876,222,749,528,238,399,392,472,927,
473,595,637,939,920,039,613,447,749,497,440,391,835,407,321,533,984,375,267,
554,098,147,200,839,387,012,407,772,481,257,733,824,652,565,746,735,662,193,
229,243,077,347,396,531,413,476,432,940,436,147,095,779,487,513,206,529,675,
417,931,871,432,840,644,236,446,052,737,118,263,888,429,206,710,045,732,261,
400,594,611,118,726,783,858,747,907,889,769,196,471,721,585,594,330,793,859,
966,039,760,101,148,916,161,947,570,681,477,504,549,503,447,256,500,714,188,
393,020,357,251,371,228,326,737,519,960,420,088,328,937,764,095,784,360,306,
229,359,338,155,854,949,652,684,079,520,664,238,347,019,604,611,501,902,580,
010,922,256,440,510,106,064,016,269,012,927,600,030,024,887,424,230,617,956,
537,364,949,245,845,487,791,946,768,052,494,834,678,079,999,999,103,866,110,
704,045,309,067,934,940,946,587,044,698,228,285,819,152,245,372,257,720,359,
841,208,406,651,552,735,618,657,658,136,345,095,181,994,011,246,172,440,587,
963,731,831,166,552,362,876,366,747,681,492,490,507,659,552,592,739,950,447,
736,429,457,630,520,727,570,612,874,512,526,540,426,275,848,169,329,320,780,
817,333,604,828,897,454,307,896,736,701,665,161,844,776,060,537,380,348,168,
824,467,020,320,952,687,820,041,223,888,668,302,922,147,678,527,106,179,761,
980,679,737,290,832,800,994,810,096,831,177,284,130,308,391,058,004,641,872,
773,091,390,231,017,148,492,672,502,048,964,726,847,497,277,177,640,739,466,
106,975,993,413,999,747,633,703,056,459,301,441,208,755,042,852,332,948,690,
364,655,045,253,517,049,553,983,257,488,141,870,985,972,862,318,846,859,532,
204,452,414,358,896,692,355,780,376,208,489,636,651,382,592,368,604,254,191,
482,126,362,840,344,944,321,134,956,951,840,906,542,938,207,314,516,873,674,
139,920,044,490,144,170,124,632,539,204,850,981,557,706,542,089,686,884,021,
653,559,766,299,547,857,964,530,341,507,975,919,861,634,975,068,373,463,990,
733,018,192,989,673,134,609,351,507,948,469,253,359,287,473,188,393,945,322,
822,915,884,058,676,565,043,272,617,006,164,092,719,235,044,268,304,553,576,
641,232,601,801,166,592,258,639,769,729,283,207,962,264,089,918,499,003,190,
357,674,697,126,828,378,128,129,304,102,160,581,166,512,137,661,019,639,625,
911,096,476,460,151,139,796,521,656,186,527,536,872,994,496,471,586,311,730,
544,698,127,310,678,532,687,760,775,500,324,630,256,610,566,358,505,156,321,
693,380,971,530,847,560,607,349,022,660,435,020,349,677,416,439,088,969,578,
124,771,582,897,147,295,602,176,317,121,182,448,152,747,175,564,145,256,062,
347,352,922,623,231,100,645,320,532,873,434,820,728,953,092,676,596,844,110,
415,240,929,976,981,706,790,011,407,003,133,973,159,067,214,886,488,544,991,
330,815,084,915,182,131,248,036,134,330,736,859,834,288,047,199,782,896,775,
222,463,704,226,819,756,629,173,518,674,974,716,310,018,774,736,493,297,328,
635,763,968,113,764,764,453,060,536,024,936,571,303,931,186,817,281,113,364,
480,249,154,634,945,066,589,855,414,124,687,903,037,090,603,323,251,973,447,
262,352,133,366,550,489,175,855,094,255,295,102,664,079,596,020,983,690,022,
020,969,149,876,002,967,305,516,292,989,766,796,888,905,639,699,511,384,350,
425,532,023,303,722,280,311,987,045,118,239,926,521,545,553,770,093,367,243,
498,303,657,805,155,554,689,212,321,495,779,400,039,616,155,659,819,538,557,
645,511,358,128,130,992,567,161,978,352,301,186,585,865,127,829,573,127,373,
513,327,178,989,957,491,040,995,412,124,818,874,673,052,690,092,893,466,845,
472,522,033,851,725,695,940,295,979,671,077,246,933,027,204,278,810,975,955,
330,441,292,980,676,492,321,904,617,222,983,333,447,494,774,587,719,897,381,
170,186,057,511,799,030,884,123,239,011,611,187,270,878,250,738,571,242,561,
499,195,135,482,234,203,073,361,425,886,829,657,961,389,600,844,118,674,439,
753,835,097,362,782,171,320,828,103,875,213,873,102,703,519,483,566,568,414,
375,135,419,587,341,929,239,783,612,714,071,421,466,816,586,122,880,189,131,
304,022,158,288,871,486,740,454,703,286,400,768,811,584,056,968,922,020,519,
472,040,671,840,750,572,131,100,689,343,985,882,240,866,054,695,556,143,787,
786,304,005,692,710,061,540,464,255,266,933,600,185,297,656,977,131,209,032,
112,568,609,329,950,636,604,206,395,296,650,939,756,712,144,857,384,455,112,
641,785,235,430,876,919,906,674,796,839,134,149,115,662,821,939,133,576,732,
817,240,137,012,939,543,962,339,408,755,722,639,439,142,121,154,284,772,429,
913,857,036,810,192,813,929,662,409,080,736,277,312,804,056,106,648,869,316,
782,721,642,882,620,476,646,640,116,464,986,040,048,576,413,414,663,722,089,
767,024,224,744,612,862,324,732,107,869,042,550,078,675,676,853,894,896,722,
542,508,622,654,757,736,773,136,396,593,793,871,779,734,509,709,169,937,614,
285,017,470,043,624,230,940,672,497,118,276,148,886,376,659,921,627,824,618,
103,152,194,346,445,410,218,525,522,889,136,278,586,690,092,440,777,249,790,
457,240,947,162,250,835,914,818,665,883,297,558,773,660,024,879,900,605,005,
035,826,937,085,827,456,852,403,114,280,428,233,672,369,359,547,446,857,551,
656,576,280,962,154,410,245,458,223,756,882,248,050,951,638,457,730,185,009,
802,908,493,400,634,392,578,013,348,191,759,605,250,976,227,579,358,936,843,
299,973,776,535,441,153,980,953,847,673,605,049,267,225,893,732,470,994,006,
661,587,301,084,728,572,951,211,823,145,810,205,389,194,630,998,842,591,339,
373,396,703,274,044,059,516,390,434,913,795,447,373,734,950,168,870,828,018,
702,096,142,332,960,982,926,382,429,490,033,475,564,325,917,825,462,620,691,
322,546,683,583,046,887,165,408,659,740,385,733,237,410,244,538,768,853,975,
677,363,162,894,200,913,721,892,726,154,192,107,831,496,183,823,541,467,434,
176,304,576,349,730,380,277,206,792,208,680,713,043,252,365,805,597,426,754,
392,042,566,618,244,041,895,327,097,926,783,020,780,873,000,694,783,800,658,
057,897,641,414,711,805,611,614,550,185,858,707,000,133,627,733,217,969,829,
995,337,695,865,432,893,919,497,744,591,734,661,109,563,899,655,677,833,215,
731,580,477,715,772,547,043,650,782,067,505,961,187,934,228,157,439,759,695,
427,540,309,487,896,678,032,290,519,096,828,759,224,073,868,650,650,741,019,
853,489,485,885,201,262,938,937,841,423,972,616,774,231,405,020,998,691,178,
387,241,640,408,040,251,412,273,646,009,568,748,307,346,621,673,675,173,971,
630,611,817,046,043,417,975,237,426,044,215,063,898,529,903,850,957,517,862,
907,222,136,878,012,259,856,465,459,569,398,405,265,749,320,983,772,242,043,
495,413,599,328,711,272,741,718,199,280,458,652,903,972,457,226,596,536,230,
756,277,781,159,550,211,540,677,464,642,687,849,040,836,755,319,380,434,225,
636,821,869,838,800,996,255,304,142,013,488,293,523,986,421,821,430,282,052,
782,974,673,391,954,993,930,677,508,122,089,923,822,357,229,533,584,468,262,
158,605,366,838,582,340,546,964,963,198,093,052,320,893,165,338,849,926,370,
823,168,774,721,428,175,593,068,205,427,883,854,244,844,735,963,270,406,368,
758,233,612,295,135,437,341,324,429,286,609,110,144,075,227,337,207,781,453,
903,551,408,778,723,314,200,748,518,239,135,693,353,277,221,834,040,096,007,
510,797,925,949,602,797,698,242,577,143,231,277,512,123,544,762,183,228,957,
535,501,439,861,075,140,196,026,994,722,250,026,493,336,662,770,351,896,617,
678,483,433,401,407,201,583,065,305,857,834,094,278,116,299,107,818,370,879,
829,218,316,699,173,081,726,671,989,894,308,493,747,085,471,222,494,321,599,
610,771,092,936,532,486,024,001,069,753,187,443,702,910,346,781,508,234,225,
157,173,908,121,011,938,485,379,505,172,827,851,391,309,069,529,150,283,879,
323,831,166,437,734,245,779,492,436,984,396,786,963,916,643,040,804,330,495,
427,527,257,319,509,909,922,426,343,387,707,129,800,033,905,173,353,810,035,
653,823,733,864,797,239,326,422,321,948,110,435,925,893,444,020,880,183,501,
334,374,487,578,577,470,165,464,529,365,633,661,569,486,934,176,247,938,292,
181,830,489,731,223,512,770,177,448,773,604,187,493,266,475,181,860,318,183,
889,045,758,922,676,562,756,798,638,444,690,698,672,254,721,027,907,701,928,
417,505,872,759,776,578,283,389,064,561,865,104,441,865,309,067,936,076,879,
584,084,245,498,278,324,939,278,444,094,390,116,304,079,726,222,609,772,034,
832,262,274,028,371,273,727,160,906,983,477,721,716,352,632,657,752,577,777,
647,211,928,330,464,592,601,144,257,365,794,324,758,959,399,510,920,988,813,
011,497,769,446,759,197,877,276,458,447,685,917,674,929,351,839,879,986,361,
654,811,191,476,083,511,024,380,491,564,038,848,178,614,699,785,854,417,340,
938,260,749,806,398,124,509,787,059,481,284,859,015,165,041,592,007,398,233,
958,730,377,739,574,471,706,597,483,564,168,843,520,934,177,716,421,554,267,
812,444,117,600,215,137,256,334,849,600,811,448,852,262,015,719,278,297,875,
177,411,512,242,315,536,952,744,118,685,498,845,756,257,943,854,272,957,051,
498,439,684,152,809,648,185,062,617,445,765,804,376,403,414,322,661,185,055,
922,165,464,558,573,684,852,811,743,990,090,248,308,418,713,211,228,174,575,
299,848,999,896,189,205,597,820,764,870,011,465,903,488,586,403,515,047,571,
001,688,853,547,142,567,588,769,592,842,267,232,653,421,966,333,535,178,941,
849,737,586,622,604,281,567,416,138,415,326,451,459,340,803,500,808,881,342,
686,769,086,716,944,508,034,686,019,585,863,809,087,265,157,022,404,555,682,
378,059,355,450,227,955,593,787,825,605,943,952,775,624,522,344,929,560,243,
409,038,988,063,682,941,818,157,625,678,026,064,882,938,606,587,844,030,887,
254,857,725,718,288,325,076,915,146,777,137,429,094,531,280,756,127,270,490,
051,953,496,996,113,838,568,334,562,927,622,240,394,101,936,064,003,133,882,
250,024,778,666,819,795,291,623,664,546,800,642,326,867,120,354,830,705,077,
200,301,374,072,853,175,032,726,443,503,984,382,266,197,697,502,099,301,749,
900,732,128,408,950,679,994,577,697,312,340,756,734,604,287,282,678,423,189,
745,179,072,661,810,727,907,494,380,166,055,527,195,104,574,208,953,764,276,
429,852,303,221,980,107,766,690,962,907,882,505,795,381,098,443,068,096,430,
915,802,701,594,134,685,616,581,012,187,038,996,175,429,371,730,606,673,498,
310,532,230,258,914,677,269,251,504,809,000,042,426,786,041,258,756,704,259,
249,479,579,257,140,004,175,988,706,490,164,487,302,420,411,994,401,057,267,
248,815,133,790,976,449,243,030,467,677,159,582,397,557,589,955,270,962,443,
528,428,012,298,452,383,500,725,755,502,526,826,766,726,822,448,321,874,724,
395,867,169,854,556,063,068,722,151,660,895,948,554,921,694,493,550,804,536,
869,727,345,066,354,206,683,410,527,290,372,432,582,247,227,491,304,178,872,
311,852,479,591,757,821,969,020,006,950,065,965,735,983,913,845,868,057,189,
519,986,028,310,316,869,100,444,367,812,879,478,360,478,444,291,259,442,097,
621,241,980,603,241,541,475,925,162,466,686,572,504,388,091,190,122,299,004,
931,835,608,675,910,083,289,619,314,789,956,118,456,887,766,992,336,167,132,
494,586,135,044,985,992,631,582,585,878,130,740,372,976,384,430,815,035,015,
190,380,946,249,889,861,319,053,498,200,263,864,064,030,966,102,145,445,489,
618,886,134,071,819,392,823,742,888,448,463,331,025,499,092,215,044,146,573,
077,487,600,520,732,060,766,252,115,179,972,961,803,613,140,917,031,174,859,
867,358,372,503,690,869,074,718,975,159,021,414,296,484,390,363,104,681,490,
491,067,113,184,756,808,324,700,870,234,300,372,291,875,319,841,629,303,424,
749,553,704,060,082,397,168,018,257,982,221,881,117,379,330,020,134,623,980,
404,968,397,769,774,001,342,924,202,748,561,449,489,516,033,365,299,490,911,
639,557,089,186,031,043,891,675,579,755,620,895,486,050,261,056,610,303,114,
289,336,290,889,434,215,308,288,435,062,629,731,340,085,376,121,646,078,335,
199,523,557,132,653,185,997,243,530,687,137,295,417,368,892,026,833,851,699,
445,830,638,723,802,029,676,555,781,887,102,918,544,219,253,237,129,877,272,
127,089,150,534,050,575,711,458,309,513,083,541,192,901,309,696,555,176,893,
708,027,836,110,212,934,471,982,062,667,858,799,254,201,129,964,346,222,407,
556,689,183,187,088,250,868,482,678,175,214,961,946,930,117,707,799,915,501,
583,411,920,126,394,810,749,229,132,645,187,004,970,569,533,461,891,004,797,
954,638,660,562,051,211,610,944,708,691,556,021,457,655,447,257,428,638,173,
661,675,380,407,187,529,639,664,981,134,370,179,649,660,896,834,676,040,012,
277,759,800,129,729,563,233,007,664,738,777,418,210,388,825,144,512,338,240,
509,915,945,642,849,788,795,859,323,130,710,797,192,926,664,905,139,352,433,
550,793,829,971,053,296,589,318,739,109,376,717,223,229,723,216,477,242,960,
062,834,937,445,486,855,464,166,847,308,668,796,595,225,566,431,687,961,947,
023,326,862,097,758,815,850,104,901,565,821,513,256,052,697,506,675,772,030,
926,916,446,562,730,936,722,103,640,849,403,183,425,851,680,339,414,181,330,
240,399,184,632,966,636,010,978,748,287,467,055,630,578,726,312,945,910,564,
052,633,549,557,966,184,381,810,977,856,342,478,176,303,398,082,796,616,407,
101,356,784,715,610,739,907,947,742,991,643,681,823,838,317,260,125,233,384,
741,162,938,048,942,398,285,911,449,169,089,729,589,632,047,135,564,061,077,
133,895,408,528,384,274,271,340,753,370,349,387,663,018,705,261,918,430,687,
418,931,829,001,890,602,652,270,412,110,955,590,969,931,135,042,262,270,993,
514,321,225,063,140,485,684,458,892,099,660,990,506,166,331,749,737,244,245,
835,799,821,101,244,955,746,951,051,636,144,214,482,445,333,433,696,368,380,
886,777,967,836,616,018,824,717,023,449,687,443,841,584,797,889,155,369,094,
856,854,151,180,154,552,505,485,918,993,678,964,292,598,895,198,849,249,098,
915,287,753,981,577,712,491,621,587,960,000,582,468,003,726,739,466,661,314,
621,136,846,095,089,755,550,645,727,966,209,562,030,565,940,622,222,410,641,
106,409,678,824,204,100,152,985,008,583,720,840,875,189,175,762,889,041,550,
077,311,318,594,065,376,534,129,070,271,254,028,443,188,138,185,797,902,253,
708,161,792,663,577,344,961,269,802,893,605,661,525,101,554,034,143,532,471,
394,987,730,900,794,233,455,197,737,145,576,750,598,099,692,408,105,562,331,
809,201,388,037,997,189,238,079,686,512,260,133,150,210,492,595,286,971,054,
513,840,943,196,792,728,504,123,890,746,407,476,498,570,489,749,375,916,226,
937,180,169,734,458,080,807,819,675,789,950,871,977,050,449,132,895,791,847,
468,123,212,674,765,300,004,673,898,035,713,140,517,540,758,120,963,969,352,
344,114,442,030,168,781,103,092,600,847,076,404,444,074,037,419,577,784,947,
065,203,912,090,634,590,118,009,172,146,252,319,904,266,745,910,601,546,481,
384,958,925,012,592,479,632,020,256,695,215,447,032,032,783,921,798,148,128,
675,626,248,596,852,231,935,250,972,713,030,405,264,447,991,391,231,920,974,
712,111,248,639,699,031,193,431,561,519,911,146,475,805,757,739,304,647,003,
988,911,518,145,248,364,781,978,586,764,744,599,928,346,725,825,013,540,746,
930,957,969,562,178,874,517,388,380,432,726,607,424,003,493,246,907,547,569,
196,745,887,720,567,079,432,751,630,504,955,624,200,158,066,644,449,623,658,
199,343,298,058,782,309,377,725,833,504,024,352,244,387,976,598,041,706,387,
707,954,227,941,904,322,576,251,819,511,210,872,504,548,142,333,055,208,967,
577,356,371,430,874,521,840,043,460,170,854,324,198,105,137,898,566,716,794,
667,702,126,579,521,649,348,257,585,876,565,803,238,831,616,981,578,046,770,
386,574,846,122,836,004,128,760,583,859,853,642,311,503,053,998,373,127,269,
432,018,298,482,222,808,190,242,855,835,130,865,717,975,488,152,738,837,380,
529,330,973,154,205,984,394,940,029,015,903,083,364,192,870,336,267,332,259,
254,743,127,685,071,275,158,914,851,471,508,010,514,768,238,346,072,541,852,
278,119,640,091,198,314,749,394,224,703,744,854,313,669,625,700,171,303,105,
856,253,678,746,121,419,821,646,812,725,111,116,732,996,618,552,078,876,763,
118,005,920,876,081,906,432,742,236,252,877,511,263,947,111,120,446,618,710,
497,988,051,836,900,268,178,268,773,882,220,290,354,308,075,352,690,582,786,
264,125,665,046,677,811,053,149,542,830,890,171,020,377,593,730,925,687,267,
190,621,896,989,589,220,251,549,837,345,516,951,050,255,307,540,022,504,111,
695,162,502,819,719,566,351,151,005,436,947,972,146,680,119,179,749,532,862,
645,206,237,469,483,129,913,820,797,679,703,514,395,673,151,504,465,197,750,
174,746,122,429,632,488,067,652,505,831,954,934,824,130,689,375,338,185,341,
309,079,900,947,383,024,510,064,753,914,120,702,893,448,230,965,480,535,004,
113,894,434,129,414,654,559,906,696,197,202,679,777,074,806,638,714,534,599,
965,358,939,769,326,615,779,464,109,632,809,201,905,419,073,376,613,558,098,
646,103,052,661,812,791,537,928,163,908,379,279,232,790,096,034,897,549,600,
660,047,520,700,140,974,765,295,624,528,262,677,275,996,543,857,520,777,969,
662,383,146,005,276,328,276,527,356,928,727,976,805,932,027,971,178,124,413,
107,900,943,106,113,872,942,927,811,289,385,846,325,103,987,765,218,740,451,
268,944,009,027,077,123,318,532,476,789,658,803,481,373,794,209,513,481,553,
920,335,355,990,824,303,678,458,914,590,338,653,111,290,758,994,406,322,784,
748,168,811,253,686,956,339,078,475,353,042,106,419,151,764,472,514,166,538,
692,671,540,776,473,896,635,106,901,707,355,779,278,267,428,232,671,574,005,
704,116,166,592,140,510,893,737,526,149,351,942,104,583,039,990,313,370,368,
405,255,826,631,183,386,618,377,234,282,143,894,845,126,616,200,589,190,785,
880,935,263,368,682,158,851,471,682,243,266,847,491,885,252,791,436,552,268,
718,180,131,071,894,660,585,795,931,523,239,339,129,734,510,991,004,009,093,
827,139,765,709,213,353,003,377,587,503,041,051,283,062,191,436,693,933,502,
956,692,589,126,247,743,764,372,037,919,960,985,648,436,742,836,687,309,776,
484,083,173,300,133,682,128,344,858,332,539,127,778,149,401,856,724,237,017,
479,388,861,405,645,874,742,463,566,325,207,467,553,208,962,121,047,181,172,
968,870,863,486,128,195,988,561,556,423,373,061,197,847,960,806,568,453,387,
058,036,122,785,171,824,761,771,072,018,616,908,716,964,605,862,914,631,895,
492,131,856,926,754,699,870,690,757,753,658,700,927,235,184,242,757,133,252,
154,247,704,548,359,341,201,990,312,077,626,669,724,413,563,395,794,596,582,
602,062,244,567,129,020,281,890,711,930,247,195,260,615,866,185,902,587,811,
234,872,021,518,774,387,608,298,926,197,339,060,448,375,790,599,540,188,320,
030,414,437,903,916,134,317,358,627,007,360,482,532,230,390,852,232,106,825,
259,582,339,102,722,320,107,590,842,499,947,339,824,355,820,879,501,219,894,
863,355,891,300,049,719,037,290,647,360,046,691,853,319,854,880,956,624,537,
205,518,943,735,751,064,797,600,360,048,856,914,249,247,607,757,646,242,458,
846,154,494,258,128,145,781,867,045,050,339,253,047,286,054,648,350,589,527,
237,512,125,242,332,968,999,151,031,940,014,036,145,526,540,755,523,029,733,
442,638,057,888,627,167,546,998,929,237,393,850,919,451,642,509,474,949,726,
551,824,313,850,201,244,367,081,797,464,714,318,921,643,126,078,246,462,417,
207,581,073,925,256,971,077,447,858,407,491,465,264,495,488,006,920,055,847,
165,865,638,105,426,542,603,885,815,726,386,086,643,430,292,958,612,082,867,
872,879,194,980,042,628,215,387,027,773,927,927,786,194,233,470,706,136,855,
414,926,711,060,243,649,612,581,582,021,972,724,872,429,298,686,385,161,639,
163,494,133,545,161,101,007,902,363,604,147,653,664,891,773,897,441,067,510,
457,450,301,131,384,594,300,724,045,540,109,457,514,265,612,400,116,825,491,
389,946,906,098,189,212,138,127,831,592,474,528,956,133,462,835,469,422,341,
144,545,983,157,730,411,948,926,218,058,294,465,497,018,965,454,367,994,249,
022,420,800,769,728,572,834,653,044,050,049,772,697,415,331,430,055,247,095,
049,869,535,798,330,208,024,414,276,176,133,256,099,033,107,862,205,956,281,
019,821,374,304,583,473,152,992,010,351,907,669,866,609,516,364,113,374,732,
303,012,674,394,695,207,839,064,996,348,691,108,735,569,140,599,964,759,405,
978,697,715,071,310,369,259,708,027,729,235,704,887,493,152,948,918,376,567,
598,926,889,313,439,196,310,924,710,643,410,563,546,180,870,591,993,299,600,
723,753,347,558,802,494,851,607,099,639,198,645,291,641,137,368,173,066,223,
391,825,884,810,604,841,126,629,147,563,781,772,642,200,818,774,846,922,065,
206,555,223,728,741,143,095,446,605,763,227,739,929,067,525,540,409,457,828,
379,360,560,715,649,587,489,247,793,645,720,128,930,431,256,669,080,901,756,
110,687,471,972,747,434,848,711,422,933,195,278,201,728,881,305,503,825,670,
430,434,945,617,381,951,971,352,871,972,248,856,976,522,854,373,330,992,626,
147,137,309,885,773,765,918,256,246,635,316,988,524,605,818,352,465,780,171,
250,060,194,800,474,399,946,377,278,360,870,774,888,653,411,810,058,464,696,
875,478,291,575,660,645,429,323,662,286,000,941,547,443,419,956,442,420,902,
101,521,619,833,019,548,639,820,710,608,858,366,562,968,243,406,059,538,832,
519,315,140,051,898,962,860,292,674,748,617,330,608,964,348,509,549,874,216,
722,246,183,257,188,090,851,630,557,257,332,441,626,079,009,068,678,488,933,
474,567,238,990,179,683,465,289,403,410,291,849,231,533,415,554,383,201,664,
666,714,268,040,749,342,120,142,707,199,318,944,225,486,316,022,576,747,685,
579,939,878,599,792,700,933,365,371,553,510,560,019,191,571,625,629,277,569,
731,356,698,904,894,457,512,819,850,224,387,556,696,722,169,485,363,658,460,
137,560,061,507,511,631,808,356,493,238,529,948,687,553,274,152,692,441,722,
644,493,345,322,178,120,460,754,227,174,132,727,188,216,899,503,829,290,408,
439,475,422,381,568,028,327,558,622,814,412,960,218,374,919,023,116,473,412,
454,480,167,111,240,545,960,253,382,306,896,025,746,528,791,414,482,688,466,
771,519,883,040,475,676,752,612,343,477,132,497,913,212,456,553,053,720,301,
422,059,087,733,784,939,782,663,863,997,468,146,009,376,493,712,358,882,352,
678,297,351,249,963,770,579,285,612,651,239,484,123,533,921,563,318,081,706,
794,865,605,272,147,013,936,380,981,664,543,270,796,283,746,161,464,036,237,
950,966,228,482,679,005,619,120,746,781,596,615,152,503,059,484,617,169,037,
974,418,097,505,753,113,362,188,041,593,346,425,903,206,710,874,837,736,227,
131,849,913,342,550,033,706,333,111,230,121,163,306,865,725,299,945,169,046,
827,401,953,649,300,127,725,194,749,983,413,090,007,230,291,286,019,568,681,
873,080,272,052,982,386,151,323,022,742,155,732,077,697,917,669,629,212,932,
523,709,646,805,823,808,615,985,305,833,699,921,426,442,084,243,321,514,013,
473,354,089,841,098,689,420,999,885,385,878,151,204,070,105,706,844,758,045,
294,283,698,132,596,775,088,769,501,962,402,622,598,962,586,449,110,999,495,
922,529,472,565,515,147,990,430,451,234,551,710,878,092,468,686,927,003,894,
307,672,198,079,086,386,254,711,765,561,100,257,390,733,770,232,032,479,189,
215,251,398,203,089,633,356,342,668,203,531,286,169,600,948,904,437,909,988,
364,992,965,326,898,510,800,890,872,450,232,382,704,457,504,735,047,913,049,
557,989,249,401,499,694,641,308,909,923,135,860,803,756,301,327,078,997,509,
229,038,485,264,448,179,785,472,179,254,448,671,536,011,834,276,049,496,439,
009,510,653,708,385,953,629,963,169,644,797,867,876,889,136,085,839,408,136,
969,518,898,706,715,534,469,806,485,243,216,829,109,673,310,273,857,264,848,
088,581,581,419,473,969,474,351,686,139,236,930,016,612,973,690,673,412,280,
925,329,657,517,793,137,097,964,045,369,735,608,699,306,586,046,676,807,261,
192,395,562,763,107,717,202,000,053,848,150,822,891,793,865,866,989,772,723,
753,694,134,198,441,796,032,335,555,063,375,387,770,110,616,952,817,966,815,
859,946,661,706,440,007,393,834,918,030,177,108,173,070,575,987,073,149,744,
921,588,774,577,367,628,924,133,472,788,936,228,148,697,205,001,802,196,149,
427,905,406,792,932,278,421,485,720,780,978,416,068,419,255,676,837,093,329,
867,071,960,892,061,925,599,819,198,217,688,909,248,023,882,668,834,378,470,
105,362,293,299,807,874,690,170,643,208,520,054,821,638,264,192,917,417,169,
851,280,228,594,773,925,559,211,920,651,139,971,375,348,518,198,519,496,987,
669,622,776,623,704,245,268,145,261,991,681,020,716,350,480,572,623,027,830,
411,646,621,864,291,205,153,293,089,853,024,919,050,358,021,009,568,519,024,
049,925,948,381,827,556,637,492,317,401,011,237,088,109,957,278,245,366,859,
754,423,439,732,561,570,060,447,533,195,753,153,029,740,986,569,797,683,237,
729,201,955,145,082,997,793,134,333,480,667,826,962,967,748,173,051,338,304,
288,644,551,161,247,806,121,662,599,986,292,936,207,178,824,846,431,231,370,
930,667,353,183,002,542,127,210,065,371,677,682,332,691,733,869,686,781,164,
722,296,741,316,846,717,922,810,617,955,831,190,018,188,097,788,046,977,945,
713,859,192,352,814,157,162,147,379,526,711,654,740,573,493,079,615,416,571,
303,283,786,446,993,043,510,263,816,455,658,489,030,127,952,382,321,477,056,
606,732,062,652,589,024,189,877,635,587,360,887,021,912,449,726,848,627,232,
070,039,397,063,383,190,697,115,629,076,437,084,442,983,887,238,603,067,445,
866,629,970,342,066,755,372,644,629,370,875,371,380,206,164,377,629,143,040,
924,226,104,172,343,263,704,062,967,752,169,402,689,335,732,559,418,950,529,
836,115,750,681,908,307,163,138,556,014,043,479,949,973,527,624,113,609,166,
729,189,772,952,527,495,470,169,024,041,191,181,026,493,006,314,598,123,712,
549,824,970,067,796,968,379,700,040,601,465,934,297,748,943,649,378,987,718,
925,027,493,970,758,683,411,670,288,249,377,020,136,160,983,241,996,590,565,
420,443,890,771,357,150,029,271,417,825,196,036,427,219,532,412,353,673,559,
688,371,012,745,639,152,110,266,966,301,552,476,946,521,320,551,303,728,097,
103,361,047,467,083,360,133,628,926,369,047,358,106,112,126,903,008,816,774,
271,411,536,640,077,365,919,767,366,940,908,920,360,349,283,045,745,550,760,
055,072,924,977,460,111,255,507,151,919,231,833,202,471,926,873,025,606,511,
417,191,624,921,979,044,988,435,306,248,808,513,901,516,995,534,742,393,888,
418,926,942,681,212,300,931,277,546,151,295,062,812,888,295,834,236,206,582,
505,032,527,560,177,389,216,766,684,047,401,826,597,725,449,388,865,135,523,
763,251,977,241,605,461,426,402,469,491,054,597,298,943,132,927,671,204,321,
840,338,782,669,067,603,322,891,167,210,918,962,641,222,566,967,759,398,756,
041,407,720,831,809,135,476,125,860,333,672,099,502,172,485,987,907,457,348,
640,194,926,615,292,417,091,887,522,491,515,583,443,331,158,275,760,132,111,
574,988,449,687,569,167,843,950,053,667,058,643,898,097,778,320,234,956,447,
911,110,922,262,802,708,921,615,092,960,203,368,866,587,316,435,723,053,362,
579,555,563,569,225,477,956,108,209,399,265,459,854,974,092,236,939,298,782,
998,001,449,465,817,834,201,064,558,865,177,358,081,703,912,467,917,283,060,
817,847,953,436,406,018,402,065,942,091,491,585,596,246,188,427,033,576,341,
148,241,653,250,363,877,404,676,654,179,399,971,611,623,040,445,984,253,737,
656,875,250,501,767,672,067,101,010,278,682,149,993,219,786,708,121,082,123,
500,328,506,596,905,955,922,527,329,079,017,726,512,882,490,598,594,983,209,
142,885,587,253,347,280,746,804,148,974,509,292,040,072,946,911,064,055,581,
711,580,259,330,819,056,908,031,243,365,406,208,966,172,912,541,916,815,101,
713,150,582,925,768,100,430,118,619,468,886,957,057,103,280,033,434,745,002,
876,878,892,408,020,754,350,074,917,517,875,226,642,512,862,914,227,300,711,
489,962,089,003,292,322,739,889,199,583,026,557,781,678,306,463,104,835,251,
396,231,636,950,709,898,731,443,501,790,200,004,860,375,417,804,419,072,345,
976,306,648,487,445,741,356,893,730,840,259,788,063,522,770,133,041,796,843,
836,230,003,277,827,975,014,348,796,084,596,756,582,861,729,515,228,283,829,
744,093,013,188,950,212,937,897,678,623,576,770,641,015,960,585,825,720,942,
494,367,497,504,736,880,125,361,083,583,299,351,126,002,717,246,574,501,603,
894,289,144,490,198,577,429,623,577,160,659,007,602,767,051,863,656,623,085,
992,656,682,184,533,832,150,532,051,297,172,197,493,970,420,481,095,789,143,
948,882,925,819,259,829,186,209,491,800,766,193,421,300,476,626,566,071,889,
075,397,078,754,056,223,104,395,987,202,503,464,761,437,988,759,187,325,317,
889,086,649,579,087,399,928,859,101,786,903,049,150,462,848,227,501,382,077,
274,796,241,097,787,417,136,650,284,652,281,836,240,380,984,836,807,017,102,
098,112,170,150,292,717,007,776,022,586,692,314,648,404,092,267,088,878,342,
061,332,800,799,353,505,593,540,777,526,843,540,556,548,689,988,119,227,516,
080,249,782,017,982,339,121,831,179,492,107,237,109,058,159,088,356,531,149,
462,446,800,264,791,221,114,859,681,553,085,930,859,440,078,114,537,527,153,
345,152,942,841,910,711,721,920,458,817,832,675,519,973,299,002,542,482,497,
380,004,911,870,772,403,576,321,815,682,611,950,801,319,006,193,869,181,465,
319,112,686,168,428,217,920,405,718,213,001,731,872,746,198,016,773,524,936,
838,529,798,502,113,658,337,489,748,071,973,234,834,027,655,947,899,212,045,
004,777,779,347,894,236,364,271,240,988,843,756,333,765,373,948,255,644,803,
951,146,906,648,175,350,392,838,270,124,658,227,327,749,096,679,248,211,418,
021,739,667,929,294,151,368,017,082,606,354,123,996,579,305,895,954,544,965,
370,923,086,348,752,204,045,476,959,297,389,429,877,381,855,063,692,082,761,
159,525,470,342,122,779,652,351,377,539,243,452,796,665,716,319,931,683,445,
509,395,226,477,223,103,053,366,247,260,444,484,197,077,194,626,597,129,468,
147,114,674,570,552,754,334,816,848,444,526,546,756,123,489,661,698,682,881,
838,280,270,565,670,702,374,537,798,899,558,768,802,351,099,483,648,953,726,
115,711,689,846,033,984,084,384,623,966,479,025,301,319,115,140,661,043,833,
606,135,534,934,974,611,570,348,243,774,737,278,885,039,226,497,473,640,466,
072,080,748,514,937,831,095,469,649,544,659,290,352,026,863,782,174,915,941,
568,495,949,993,477,184,804,391,879,204,326,818,894,742,430,255,472,654,847,
227,830,917,440,132,466,430,936,635,511,191,895,151,991,511,798,821,818,689,
392,752,539,742,057,025,682,908,128,914,694,304,721,071,634,498,072,945,369,
804,013,681,608,589,830,462,025,130,079,085,943,675,548,535,161,767,160,097,
035,698,916,245,781,848,424,126,550,301,696,146,308,735,261,204,461,968,719,
300,246,774,551,023,995,016,269,034,388,909,265,609,736,662,938,194,348,769,
884,501,359,373,707,577,364,301,597,350,753,340,685,128,508,028,337,627,119,
234,946,113,834,478,060,528,958,359,533,967,190,805,122,904,436,348,669,102,
672,977,915,030,097,949,361,831,950,912,337,938,159,281,035,900,230,772,361,
963,978,005,900,353,860,215,614,359,276,084,718,247,372,750,876,163,873,423,
649,010,425,052,437,864,938,735,554,077,329,904,853,346,132,078,567,793,992,
395,060,507,684,638,721,254,863,733,583,266,213,301,484,904,838,546,977,955,
542,047,333,139,300,664,790,369,264,485,273,607,247,822,941,600,240,734,119,
361,661,922,849,406,995,355,580,639,329,549,991,406,365,788,286,051,365,430,
140,523,144,441,799,754,289,249,604,890,518,624,628,394,406,790,161,651,109,
883,392,653,355,605,339,628,066,966,825,487,950,195,106,714,697,132,674,108,
625,921,425,167,820,895,761,028,037,944,659,091,262,309,770,638,866,584,297,
882,677,319,104,174,160,061,223,263,285,082,347,464,165,571,556,033,231,920,
577,620,407,869,518,309,030,485,014,365,398,137,169,366,849,362,053,275,197,
601,584,603,049,878,492,925,790,342,371,099,950,464,521,718,436,026,816,470,
206,339,750,745,124,593,477,222,302,152,971,801,632,850,504,523,228,558,788,
916,273,522,981,649,645,406,110,349,643,382,606,862,295,650,303,943,333,401,
543,584,845,639,630,334,910,426,729,767,784,551,096,507,622,654,725,334,757,
568,414,094,231,977,318,640,665,310,223,344,390,049,164,167,897,196,207,766,
289,713,704,221,404,280,181,914,246,367,008,277,019,485,264,100,267,674,481,
825,553,291,878,825,583,629,126,248,318,600,154,173,757,667,076,277,757,707,
907,071,875,266,347,579,646,508,788,363,762,607,908,605,710,581,240,381,262,
994,814,241,767,815,518,918,985,968,440,658,390,127,774,676,817,820,113,964,
423,024,650,105,581,536,502,443,391,908,050,223,749,766,279,942,473,421,916,
391,399,075,079,093,266,376,174,691,852,320,325,349,895,711,165,311,387,863,
916,787,910,937,624,071,752,445,125,300,181,925,478,899,479,092,075,268,571,
459,197,279,542,976,338,473,927,849,798,236,483,055,735,619,737,425,594,501,
056,270,906,650,690,692,913,214,924,531,932,715,313,339,554,395,524,877,710,
734,024,298,235,583,078,156,516,917,801,071,477,361,186,229,664,525,807,256,
583,855,161,265,785,376,635,385,656,863,875,961,154,181,793,244,078,778,206,
543,293,157,046,046,236,421,158,881,136,944,896,719,037,106,229,901,419,311,
817,584,890,089,805,609,774,213,435,749,567,048,962,181,538,830,199,481,901,
462,107,367,948,399,995,095,632,993,835,874,679,802,681,995,899,446,487,250,
304,822,536,144,088,161,505,016,132,003,396,963,587,870,633,778,569,566,459,
949,651,197,070,240,637,251,345,562,504,717,669,681,579,973,741,088,265,971,
995,792,613,361,248,437,628,463,862,404,878,785,824,410,821,155,668,032,406,
982,607,189,827,944,629,469,115,622,404,454,695,510,405,630,710,729,727,434,
650,732,268,217,267,596,439,883,111,186,236,731,419,364,771,782,859,616,661,
890,176,047,045,361,662,035,497,321,471,184,796,960,519,797,739,731,434,200,
730,460,433,675,757,438,013,199,781,554,336,442,892,211,706,453,091,594,157,
661,952,977,788,159,374,133,412,749,096,797,250,408,733,579,054,523,662,424,
843,189,587,970,321,731,875,028,484,880,665,959,818,987,381,197,536,836,171,
870,318,256,231,224,107,461,011,000,974,203,075,386,934,822,157,004,967,330,
692,332,841,177,520,416,319,380,952,327,867,883,529,803,583,169,918,917,475,
893,467,820,891,532,962,073,570,233,933,600,432,570,709,670,862,023,538,289,
576,646,921,206,116,556,702,757,085,805,121,088,752,011,779,180,773,531,876,
970,273,357,722,822,035,964,800,492,925,664,703,359,769,154,062,453,315,074,
111,519,918,430,637,678,635,271,080,411,728,843,158,482,063,526,337,864,359,
068,369,715,072,181,517,652,476,738,838,643,374,370,139,669,597,468,018,829,
333,874,681,036,241,540,015,545,246,403,388,628,072,732,582,350,448,165,236,
279,822,972,646,287,564,561,639,837,506,189,096,589,853,973,557,420,548,279,
855,911,960,229,115,855,061,726,309,593,847,048,054,993,067,361,834,787,617,
615,316,878,661,073,236,333,435,124,030,396,760,116,961,430,342,474,942,322,
231,885,930,386,631,805,868,363,641,358,251,836,334,898,768,906,530,033,967,
131,976,542,660,383,369,282,311,104,441,605,070,712,414,123,286,775,522,826,
722,204,351,501,326,587,398,672,505,818,424,919,731,150,202,473,670,818,461,
480,243,541,911,048,220,551,453,582,784,788,350,468,677,753,922,673,810,686,
421,630,654,451,126,069,552,784,507,598,714,379,887,531,837,588,474,741,074,
972,966,174,868,505,889,155,515,740,908,549,425,155,286,670,914,772,863,125,
101,860,510,684,138,249,842,629,047,318,133,949,781,806,904,923,556,761,908,
349,918,337,248,414,590,170,054,587,751,631,198,893,105,904,031,154,514,832,
068,489,286,668,956,661,147,070,743,312,328,880,279,257,814,632,705,280,104,
334,608,856,457,256,329,385,863,190,807,278,200,966,056,736,127,876,563,903,
790,156,068,388,456,165,477,553,252,408,562,185,089,453,110,704,641,034,530,
283,993,064,708,444,327,136,191,230,440,689,105,548,809,532,756,363,637,236,
320,831,806,040,888,835,946,926,609,031,655,047,633,682,373,154,625,085,008,
526,725,823,574,575,488,354,934,866,000,615,225,432,705,955,332,750,738,175,
459,964,547,332,758,916,102,368,016,657,060,505,591,840,509,882,345,738,737,
086,607,127,841,633,975,528,830,330,151,603,046,188,056,852,026,564,350,897,
648,420,775,341,311,411,743,933,448,135,292,631,402,868,132,016,478,877,985,
853,173,090,644,682,506,445,900,504,786,634,002,581,377,590,476,449,060,467,
538,300,569,836,840,390,590,192,652,619,004,994,082,656,193,554,986,509,156,
652,112,890,452,473,340,283,811,227,620,893,373,417,665,808,698,125,977,770,
658,905,809,190,621,682,621,334,119,739,194,477,845,146,501,138,265,687,098,
293,342,498,216,016,868,818,436,705,229,887,631,871,269,080,152,544,855,093,
590,832,151,606,604,914,880,107,447,687,141,175,617,572,685,289,184,016,704,
276,029,123,423,173,256,980,748,957,317,791,606,985,740,801,072,287,458,806,
935,885,884,399,381,527,390,405,109,014,356,072,475,769,085,298,166,648,588,
138,539,928,810,399,449,460,905,821,707,906,128,743,509,525,035,123,801,471,
925,057,530,550,330,835,707,072,853,222,092,502,817,291,580,150,861,969,383,
836,653,609,387,726,965,481,624,421,622,351,599,142,380,587,056,491,012,427,
595,905,930,533,188,362,579,276,380,398,487,201,100,242,336,477,080,944,425,
212,938,457,970,957,113,060,969,237,917,295,066,716,772,174,307,474,554,998,
284,520,426,647,708,632,511,582,505,753,556,240,278,011,289,227,340,094,729,
526,838,563,151,118,240,579,144,352,450,764,864,284,349,754,063,069,786,864,
997,166,880,709,120,128,585,510,380,779,673,248,457,586,030,240,694,109,263,
383,208,046,649,763,825,682,188,332,935,125,077,724,618,274,209,438,430,608,
413,201,443,811,289,342,323,516,094,888,811,219,746,448,714,033,401,630,275,
203,119,943,480,651,804,258,147,250,259,602,112,489,023,613,180,414,677,931,
876,972,697,631,260,576,530,092,518,973,687,597,594,634,791,092,988,929,265,
068,553,828,523,180,918,873,029,954,584,850,118,771,571,943,884,381,801,727,
359,396,698,476,458,960,653,625,783,580,868,956,448,853,577,020,097,787,753,
506,453,176,723,687,749,089,972,581,982,779,068,016,852,050,744,196,915,505,
203,563,537,374,034,435,550,494,486,554,790,148,401,005,715,174,674,420,435,
511,952,455,101,995,430,856,712,734,421,854,067,027,128,793,020,700,054,550,
854,494,183,471,481,411,722,807,704,202,197,319,917,223,241,943,266,183,836,
220,990,354,052,414,441,774,842,334,798,783,868,596,589,515,569,664,819,852,
989,620,260,445,857,294,206,228,946,145,043,582,485,779,889,497,716,957,329,
943,442,996,497,035,897,436,275,124,574,090,778,749,277,439,796,578,544,021,
962,406,113,076,306,505,217,954,026,994,819,146,212,147,547,348,152,802,227,
925,126,855,727,318,761,042,132,869,839,068,433,602,571,529,708,828,145,351,
170,167,851,105,183,899,365,877,010,106,676,607,808,898,822,200,613,981,112,
219,913,340,378,779,308,711,996,782,096,980,002,049,126,977,258,551,204,100,
914,138,150,121,727,687,201,420,924,434,433,964,708,381,119,316,474,998,523,
097,854,464,685,052,824,965,375,995,217,653,089,494,548,151,162,925,569,436,
877,870,484,427,848,987,746,555,516,908,752,739,055,202,480,979,974,268,499,
218,462,530,717,530,619,646,035,001,745,611,986,872,148,821,120,010,261,000,
349,001,933,886,054,806,030,381,104,955,257,318,346,198,549,134,016,968,759,
153,831,755,715,658,342,918,402,716,573,402,592,020,782,603,558,756,530,944,
732,465,540,606,711,336,704,048,098,616,616,652,847,452,164,721,016,925,055,
436,125,151,224,782,463,795,610,947,397,365,236,442,944,606,372,333,196,888,
599,741,815,005,770,471,674,721,957,447,024,821,849,174,954,627,163,791,183,
831,751,099,145,737,959,829,759,083,271,409,910,581,229,853,968,202,476,411,
218,070,642,279,529,175,428,253,242,721,384,781,821,456,055,960,802,148,821,
006,102,671,892,041,518,088,396,984,341,857,888,406,136,782,073,935,311,086,
603,373,901,325,339,001,741,597,839,764,810,615,375,588,100,406,713,172,140,
519,827,345,893,977,076,333,124,138,078,778,444,036,189,366,259,812,889,306,
302,700,266,317,604,329,478,495,875,386,000,776,940,060,688,817,093,775,012,
683,297,155,687,611,982,475,949,152,962,348,920,782,257,433,995,592,405,635,
042,483,422,511,896,676,870,769,001,954,015,819,946,463,433,402,764,491,599,
281,639,674,568,602,195,002,230,364,184,177,329,186,994,432,406,597,985,053,
300,352,812,142,667,243,631,404,956,059,903,820,047,753,035,539,533,166,132,
772,492,860,886,146,717,870,478,237,302,018,427,265,702,232,152,085,316,276,
334,287,012,285,824,608,951,503,576,687,573,076,121,408,260,102,390,364,825,
777,840,562,676,022,793,143,917,328,491,300,533,140,455,958,253,703,860,913,
011,441,884,416,567,318,046,537,654,263,034,086,085,103,579,706,671,448,062,
331,286,472,659,373,404,065,543,895,912,433,388,551,392,724,946,006,723,918,
657,329,626,838,025,311,214,030,152,625,763,916,318,347,923,715,631,009,625,
629,236,505,561,102,582,637,723,627,926,686,911,372,930,419,140,246,613,526,
913,448,193,499,699,678,735,445,182,419,129,795,465,945,609,930,148,444,130,
233,130,953,889,161,217,629,589,544,407,574,543,642,878,026,584,074,024,479,
225,865,065,813,132,246,571,789,953,831,411,554,181,183,272,419,705,672,875,
796,664,601,183,680,528,001,100,579,071,209,453,778,539,432,911,484,326,881,
547,853,125,545,909,305,457,000,161,299,155,416,572,230,981,846,924,570,616,
138,764,176,845,104,735,177,188,744,277,869,137,097,025,942,780,753,841,212,
355,546,326,666,325,442,646,173,466,721,685,852,832,461,968,200,650,506,042,
112,824,897,620,156,794,296,746,684,845,587,949,427,901,682,128,385,771,652,
056,969,257,947,460,307,231,660,530,138,726,453,132,187,059,523,123,005,807,
657,801,750,429,599,438,694,669,184,214,905,774,338,280,808,822,280,640,840,
178,248,031,007,505,639,456,467,000,715,147,907,876,791,041,008,968,634,109,
924,239,911,297,019,646,358,108,062,041,632,662,489,970,962,337,173,841,247,
107,411,815,725,507,351,123,214,665,789,813,884,465,119,506,922,587,017,465,
412,226,620,644,522,978,728,041,364,633,913,887,809,419,483,084,330,060,300,
491,129,207,094,402,162,385,057,202,390,540,882,810,349,958,154,958,700,921,
614,082,415,819,969,697,679,739,292,797,686,298,844,048,131,107,770,424,904,
991,481,114,920,453,659,603,363,016,560,705,443,034,525,613,317,129,126,222,
644,550,667,598,191,538,567,011,372,622,372,358,989,385,462,147,439,883,221,
922,435,950,044,928,668,804,586,013,275,393,103,598,240,447,127,102,670,533,
712,841,082,863,026,790,555,382,475,206,262,631,128,428,930,364,666,977,754,
527,493,331,380,199,924,788,190,506,347,997,717,948,360,726,551,198,026,229,
469,416,884,874,382,204,173,827,674,445,726,738,815,547,973,996,887,267,225,
963,816,504,221,226,952,123,606,909,311,563,766,178,991,585,810,077,732,281,
507,211,372,306,797,542,132,997,399,281,179,169,936,795,658,106,709,328,517,
355,981,837,554,066,518,852,936,631,892,368,560,473,759,630,153,357,505,584,
440,123,837,358,542,731,697,325,870,726,537,982,138,532,959,892,435,108,931,
038,476,089,085,455,174,751,537,129,743,028,766,963,639,858,685,828,297,064,
092,779,815,680,163,978,815,732,748,514,282,227,127,948,728,478,269,586,794,
715,521,278,239,546,516,308,543,367,784,308,095,329,962,777,308,766,596,007,
430,387,352,683,113,565,997,177,793,950,200,418,545,285,599,803,813,209,417,
972,098,000,510,468,091,239,695,501,492,086,900,315,875,610,326,561,807,788,
268,289,291,371,493,664,737,860,607,246,165,641,961,540,225,658,469,899,256,
177,262,614,486,531,082,801,505,068,759,206,399,800,477,987,602,982,962,214,
877,385,255,013,672,406,785,194,018,264,434,661,388,951,512,732,928,195,564,
659,973,415,903,900,874,572,846,041,636,238,874,253,603,845,394,251,357,393,
237,995,337,676,917,711,284,798,296,261,312,981,096,191,943,535,071,314,785,
876,073,764,559,574,838,489,543,014,540,031,758,039,865,201,797,646,428,684,
079,126,859,088,844,909,613,866,730,933,583,604,858,553,277,795,477,957,089,
517,690,835,608,021,350,024,701,572,406,122,578,598,254,980,792,979,578,473,
316,202,378,299,976,261,020,940,045,536,345,737,153,525,584,579,694,237,090,
558,866,954,023,400,532,082,067,246,306,195,071,073,294,567,833,478,216,519,
511,832,774,564,083,904,216,861,326,198,473,446,911,841,122,573,267,387,659,
722,894,613,360,810,520,124,860,077,803,405,811,764,366,937,327,633,167,532,
242,883,807,668,085,444,337,924,235,503,245,124,696,562,264,903,795,012,855,
744,444,899,474,301,370,457,151,580,378,840,064,801,473,124,839,538,774,560,
749,556,385,976,398,531,292,090,464,694,174,760,616,375,698,170,074,975,368,
116,435,262,723,752,041,245,020,862,042,157,292,015,035,802,135,466,586,374,
798,347,707,679,666,336,553,811,201,358,722,704,598,054,429,471,859,592,024,
966,716,715,384,184,820,565,724,158,902,972,457,838,613,345,709,663,062,206,
198,383,544,342,948,567,510,781,399,295,504,796,482,479,845,100,445,639,674,
946,751,787,180,289,867,052,589,087,349,574,833,434,735,817,995,118,290,464,
025,893,652,058,187,708,896,485,970,451,815,827,049,325,737,053,438,449,506,
344,470,422,356,480,116,854,999,870,155,498,679,390,956,271,507,126,014,753,
003,628,748,681,073,570,119,668,456,655,127,386,107,225,820,670,408,185,055,
469,466,772,781,399,652,111,879,437,326,567,196,444,936,526,246,055,388,011,
006,446,620,140,783,859,471,892,455,442,671,717,281,517,663,454,251,414,901,
782,780,807,646,913,012,137,633,641,277,808,224,000,651,110,229,941,604,893,
246,345,830,811,703,044,174,187,319,223,177,808,778,523,125,643,901,964,084,
191,311,027,155,476,051,529,667,256,035,894,831,721,353,014,538,258,716,893,
017,244,275,762,221,941,243,047,121,944,047,002,222,855,234,195,643,205,294,
633,938,364,212,085,145,751,139,858,302,681,439,659,685,089,055,753,842,184,
837,839,696,118,771,500,563,088,511,648,309,070,572,655,009,595,224,707,381,
755,701,707,445,899,560,759,048,549,714,066,678,186,499,951,706,900,327,885,
507,582,447,384,010,271,136,495,680,763,418,609,871,839,946,506,298,480,518,
548,018,389,069,239,812,719,591,912,284,265,116,465,105,700,711,984,112,019,
827,136,702,622,839,597,920,597,147,214,920,158,032,573,236,441,851,366,446,
230,579,888,005,784,380,281,367,707,689,138,145,768,523,690,831,574,578,226,
607,390,919,489,834,535,910,113,360,853,227,646,379,140,548,571,128,195,980,
624,993,507,665,061,383,108,561,356,908,368,613,815,091,950,268,654,683,990,
324,528,950,970,506,141,440,300,418,569,542,885,721,504,976,141,173,546,530,
840,226,024,870,415,932,508,449,353,082,316,968,352,350,561,763,413,804,813,
437,741,223,950,529,434,603,911,533,431,718,690,206,415,762,727,165,071,484,
261,998,828,284,336,918,344,158,579,040,700,243,929,055,115,856,332,824,178,
544,767,597,659,098,945,643,647,846,570,102,977,921,283,402,396,951,793,090,
447,562,475,400,006,906,492,740,963,691,702,038,415,396,606,100,204,091,873,
254,333,627,037,745,642,176,451,509,469,646,109,570,497,686,818,038,102,515,
321,743,737,670,867,155,259,829,243,275,186,757,772,291,086,719,938,049,985,
532,737,356,176,171,627,242,805,540,031,437,772,542,224,861,711,508,617,897,
116,882,598,557,946,437,916,214,933,876,558,067,433,473,434,331,386,652,199,
039,845,561,945,052,167,273,165,023,794,507,588,598,412,411,487,288,534,139,
399,073,907,669,872,292,161,674,998,249,253,635,141,516,618,819,801,047,840,
241,471,181,809,914,272,828,756,116,709,318,686,811,047,292,362,220,579,712,
941,526,947,849,531,819,983,194,263,127,323,770,317,923,349,188,831,124,192,
452,528,449,185,334,341,069,149,761,901,569,525,587,805,681,002,937,863,065,
014,032,062,048,905,290,352,879,712,241,505,905,444,177,807,407,504,192,107,
876,224,056,073,825,550,815,556,630,623,060,595,466,335,808,084,550,485,387,
956,214,358,840,422,652,034,726,974,470,731,164,008,306,635,510,427,628,694,
232,274,461,288,808,590,601,660,599,817,380,363,864,310,582,657,387,264,172,
770,124,596,772,022,193,210,349,991,888,540,426,304,701,923,302,456,356,123,
953,511,216,042,509,539,185,277,310,355,056,671,495,702,006,439,275,532,202,
913,694,156,630,504,598,006,057,916,307,872,697,836,480,891,126,678,901,382,
098,710,195,118,724,827,560,740,283,515,511,529,802,240,066,056,607,387,224,
472,177,667,195,342,511,400,947,149,844,752,683,332,370,037,625,512,098,070,
259,743,152,796,285,443,262,866,166,020,679,138,168,437,680,113,492,879,238,
847,791,031,999,094,202,440,552,361,182,783,693,319,723,943,039,563,776,793,
743,796,114,357,894,237,692,149,967,631,972,732,896,104,475,448,622,823,197,
561,395,140,849,697,527,017,740,844,994,056,832,121,860,843,613,235,897,186,
412,143,527,905,519,387,509,482,431,509,584,920,242,061,704,793,011,993,082,
649,102,162,245,186,922,121,200,299,222,281,574,281,554,710,353,821,729,198,
926,922,179,684,576,154,385,236,923,398,943,281,538,212,929,071,013,373,345,
848,969,707,621,613,039,558,945,670,928,448,763,583,546,204,240,047,933,524,
004,222,731,253,957,528,008,956,115,369,637,494,858,476,187,825,625,387,490,
360,810,628,252,479,351,001,393,175,487,751,492,165,773,702,643,844,600,542,
074,908,785,459,552,637,319,614,594,839,696,294,826,161,035,055,839,428,138,
659,891,259,132,405,651,085,661,362,114,872,121,838,277,178,184,927,347,012,
060,127,807,810,918,345,691,715,428,494,493,927,928,901,775,115,544,080,609,
538,868,233,316,158,292,454,869,272,993,406,080,365,890,161,918,783,918,183,
303,296,703,393,915,197,810,077,854,409,166,910,698,679,594,448,990,233,026,
283,641,327,208,246,314,241,785,112,592,764,439,059,282,929,498,011,708,230,
565,460,152,395,912,910,772,990,929,157,573,080,016,250,714,136,335,949,982,
341,687,991,546,225,463,765,549,474,440,366,605,413,375,545,191,410,547,786,
369,608,081,701,800,794,210,983,377,278,552,562,752,607,668,998,564,990,627,
094,095,680,986,923,732,927,857,450,584,850,776,337,597,488,479,234,382,621,
687,857,847,506,103,835,527,715,032,592,364,330,321,146,743,579,062,178,419,
080,456,488,330,599,468,975,336,627,512,597,994,243,846,607,831,632,431,824,
316,028,375,451,218,788,516,096,391,715,856,216,140,915,784,767,775,450,390,
592,480,611,127,879,957,188,133,401,336,083,976,587,525,759,182,177,344,881,
482,049,038,476,966,013,374,139,035,142,507,057,947,174,264,187,128,082,149,
199,103,642,614,487,105,236,906,117,968,193,455,464,845,227,656,244,969,065,
691,415,311,608,494,463,078,574,023,340,145,302,569,908,191,658,434,581,071,
523,535,211,054,248,816,058,983,639,910,737,857,800,696,066,755,458,643,583,
861,220,866,718,685,375,507,886,878,781,285,045,902,498,001,751,946,000,277,
919,792,202,516,939,284,889,857,540,830,545,824,864,492,228,342,375,208,198,
301,312,916,401,754,915,475,808,677,962,479,201,692,402,716,291,108,468,958,
247,969,060,462,102,882,929,250,849,762,911,077,229,150,510,878,774,845,567,
691,764,008,864,998,017,750,914,459,787,959,146,368,914,314,028,313,640,496,
945,669,673,041,608,779,232,715,388,050,971,685,696,684,656,367,302,630,554,
561,743,494,385,426,672,138,608,133,886,725,497,885,932,935,496,893,866,973,
242,495,170,206,131,658,994,543,458,688,559,658,520,353,908,003,580,253,299,
039,403,435,255,355,023,304,892,661,380,668,071,109,368,370,324,201,296,132,
090,144,288,646,045,889,444,868,118,877,150,461,314,291,536,088,703,046,573,
240,875,161,890,040,271,959,458,812,986,968,268,085,375,443,941,808,734,821,
425,570,426,706,202,153,121,622,222,711,158,334,540,276,184,470,320,283,408,
894,265,816,732,723,387,146,484,169,122,562,941,247,980,069,582,440,412,393,
354,621,516,164,938,777,802,030,004,304,309,040,065,409,996,067,077,802,083,
411,104,060,970,798,957,804,258,968,312,305,770,708,548,012,804,800,574,107,
166,374,967,556,588,907,871,482,412,175,135,253,695,463,459,717,651,182,557,
027,412,209,023,963,351,747,819,101,950,152,481,496,018,255,735,278,186,016,
057,184,863,962,128,253,655,635,861,785,231,745,760,241,379,871,283,434,458,
444,976,652,439,902,126,422,583,440,043,308,755,553,954,936,071,681,098,946,
929,150,074,608,271,074,356,277,739,249,744,593,085,005,535,781,044,249,368,
650,132,397,173,719,967,572,322,985,344,287,883,087,127,430,938,430,165,849,
315,138,350,894,761,720,900,661,084,949,421,136,957,890,052,336,005,189,696,
875,020,310,786,976,767,494,821,656,902,361,139,914,327,090,023,405,581,503,
715,910,304,400,289,394,288,655,634,531,444,854,960,253,732,489,312,005,613,
773,398,041,138,183,674,936,878,668,462,386,132,728,359,240,908,962,169,975,
659,904,730,227,681,575,077,649,531,000,066,290,064,052,470,096,568,432,833,
161,330,252,748,321,058,430,585,796,297,179,468,349,688,187,362,154,894,482,
859,221,679,383,322,772,507,093,515,538,746,604,985,255,698,002,434,007,071,
381,257,053,723,956,445,251,243,977,045,070,294,861,455,179,237,213,934,252,
605,179,832,391,839,856,001,110,896,723,020,468,588,509,898,112,655,718,750,
564,143,874,294,347,028,470,446,887,498,908,549,433,795,675,935,478,605,137,
130,384,342,882,195,725,182,408,872,126,683,276,066,011,579,797,028,868,624,
603,222,114,154,857,846,747,416,629,853,476,885,274,281,469,978,732,486,552,
781,965,866,728,402,316,399,760,751,868,643,159,529,666,771,368,223,535,227,
986,207,519,689,945,586,499,987,436,779,482,589,877,473,195,902,574,917,373,
639,006,915,924,275,157,129,028,646,587,211,591,803,713,861,732,710,896,500,
926,584,583,654,136,742,354,459,178,991,857,278,117,064,092,236,748,478,897,
500,021,720,439,790,705,056,356,979,051,243,554,593,455,787,691,567,719,167,
486,456,337,523,772,359,168,169,417,724,244,893,339,504,743,190,968,063,879,
407,585,448,873,433,957,609,719,416,861,295,609,502,155,416,871,773,509,275,
439,523,811,697,167,083,210,208,675,646,600,796,445,496,270,913,029,793,752,
364,889,267,059,749,188,106,805,826,621,222,799,615,290,709,945,817,503,066,
915,766,038,748,941,306,325,063,975,147,078,911,524,548,103,807,187,608,877,
369,635,887,539,722,017,887,822,617,801,038,259,323,609,193,593,095,757,920,
248,139,851,783,161,745,276,688,186,433,064,520,652,245,273,998,862,136,677,
687,124,971,148,355,714,517,244,571,583,435,336,500,590,973,484,720,495,379,
085,452,246,427,044,273,494,880,109,944,402,617,606,159,109,766,055,187,132,
343,201,665,007,579,988,577,421,875,704,877,751,340,167,210,958,837,517,352,
015,455,250,899,637,500,050,916,938,471,022,070,450,876,625,536,634,839,063,
805,186,968,972,376,434,983,070,770,006,215,536,238,140,450,919,404,787,315,
940,345,148,672,400,098,467,348,567,690,366,384,677,414,697,746,387,392,123,
325,163,808,459,223,691,460,822,495,076,371,316,035,080,469,449,923,019,284,
363,550,424,696,022,243,225,221,570,755,931,696,541,620,702,985,652,350,193,
398,591,990,777,559,173,040,149,774,259,859,096,787,243,464,992,489,404,624,
434,210,213,549,340,521,084,378,995,566,769,105,683,777,836,317,462,840,806,
694,399,515,991,942,791,942,461,516,778,206,786,855,810,549,969,030,574,851,
406,965,245,978,142,484,923,203,965,288,408,294,427,233,475,606,110,122,766,
375,235,555,144,603,451,119,063,645,577,906,500,518,098,499,696,097,234,828,
402,248,781,131,865,226,423,449,105,870,097,718,627,760,377,574,004,811,779,
867,080,081,838,094,183,499,776,130,527,005,509,243,507,816,370,870,014,950,
629,409,401,319,401,271,069,496,449,205,668,802,614,535,490,210,616,822,990,
082,184,197,659,408,080,910,889,546,574,234,186,674,372,668,329,930,482,103,
328,327,592,485,744,808,908,387,800,957,746,460,445,242,310,005,997,618,078,
419,786,766,901,598,337,427,392,249,369,808,428,626,436,433,657,006,847,736,
646,958,063,854,315,624,530,722,247,193,998,840,666,567,670,853,218,914,676,
275,406,598,325,729,834,072,217,541,810,611,278,461,139,504,853,468,903,947,
301,761,564,813,370,985,703,479,667,032,599,148,259,810,866,576,445,887,005,
508,786,818,209,593,947,240,818,441,644,141,078,005,974,051,971,168,850,545,
679,057,081,413,498,228,828,245,178,285,692,159,902,610,263,592,971,723,672,
375,419,407,412,442,442,428,355,681,583,290,034,932,981,568,024,875,025,000,
931,192,947,619,991,197,665,432,440,051,984,781,234,548,510,072,254,078,102,
887,194,431,736,916,278,570,826,422,813,228,238,069,115,368,911,522,764,179,
839,232,074,684,633,943,375,284,462,327,033,665,773,444,678,750,768,507,281,
506,025,528,615,105,795,783,138,133,153,578,459,002,094,195,570,595,561,976,
635,695,529,428,170,136,513,796,760,283,926,005,585,769,682,848,927,502,498,
322,965,881,325,715,045,701,755,479,223,865,666,902,232,113,695,838,081,916,
155,106,298,146,430,383,534,015,543,784,828,784,402,285,663,223,456,335,131,
790,753,710,045,054,545,530,289,252,083,042,855,412,919,401,374,155,830,592,
058,536,646,362,476,995,243,098,997,393,847,704,032,390,356,734,705,282,929,
759,552,247,683,898,768,041,734,242,399,785,692,397,458,201,130,466,810,577,
460,961,551,825,811,711,970,223,285,690,642,692,333,416,267,775,418,267,722,
727,531,174,890,243,871,014,685,568,293,561,932,256,363,222,411,637,829,542,
326,293,152,827,354,482,185,978,145,801,668,561,811,492,341,263,505,380,374,
359,091,353,211,559,598,444,882,125,866,333,113,774,799,347,641,408,440,283,
424,126,982,476,176,426,618,972,015,528,283,437,860,601,448,861,198,924,054,
939,206,184,352,369,160,185,189,547,508,010,511,584,258,995,850,452,953,054,
766,148,824,646,907,352,409,796,040,725,409,763,776,987,123,609,765,643,141,
095,583,352,521,493,841,190,755,935,984,321,558,600,026,774,795,521,945,097,
276,643,743,433,287,125,656,550,702,575,724,398,265,082,410,544,712,698,082,
347,774,264,544,096,005,396,845,510,761,902,038,703,718,596,646,293,560,669,
568,534,362,704,695,908,501,035,736,740,762,867,572,214,628,445,301,774,138,
806,980,534,709,334,675,670,596,514,743,546,796,469,892,769,901,557,930,948,
658,482,142,476,525,417,937,801,924,004,121,035,740,662,223,304,585,493,578,
817,968,425,350,988,737,958,849,359,485,756,350,722,479,968,901,626,742,648,
820,121,183,029,815,091,304,121,677,400,253,707,125,302,289,353,772,168,065,
338,027,596,962,694,298,575,947,472,559,050,292,849,456,752,852,323,674,539,
450,911,273,948,247,203,852,467,868,023,298,969,409,170,224,104,207,266,607,
562,535,078,775,480,371,986,199,992,346,623,531,070,213,628,664,551,627,150,
083,633,055,195,217,056,953,214,527,448,310,446,385,266,844,538,586,389,975,
320,075,383,551,518,954,153,222,727,494,071,654,247,352,313,673,437,897,733,
493,535,681,849,575,043,677,799,918,078,276,261,599,155,239,707,619,268,526,
974,826,312,589,393,055,717,490,308,719,546,878,433,655,903,561,208,881,841,
317,832,372,427,690,230,859,239,650,333,589,491,836,387,148,746,040,241,318,
338,817,527,004,512,698,013,101,036,845,018,126,295,778,878,036,554,447,110,
499,574,765,324,303,397,145,427,309,780,364,646,117,750,426,277,860,502,113,
517,751,620,341,598,666,651,478,714,095,691,169,493,705,254,672,636,628,204,
044,767,360,940,722,852,320,249,734,242,043,319,504,594,082,685,833,766,869,
496,777,842,071,391,914,757,620,199,679,838,072,515,408,632,420,875,330,529,
820,805,082,056,106,156,766,584,665,576,854,904,656,205,081,730,686,482,580,
133,202,506,594,234,869,837,508,612,725,061,322,331,560,085,583,453,809,762,
050,988,354,878,419,679,525,560,284,445,926,051,806,035,060,237,521,073,566,
114,823,554,943,105,264,853,312,250,499,862,437,667,623,424,384,763,666,692,
358,805,665,500,351,276,334,083,321,272,896,896,779,469,142,836,079,575,203,
507,342,885,968,439,481,378,162,795,793,359,035,206,500,818,934,726,299,093,
371,484,960,927,824,094,207,716,685,939,498,232,314,499,149,492,603,846,400,
310,444,770,976,862,288,666,006,394,019,155,388,187,747,572,857,167,164,058,
196,266,054,646,096,116,930,508,122,571,174,816,788,792,049,284,391,482,566,
915,664,570,236,528,228,663,564,743,742,187,092,567,461,117,214,421,368,269,
493,814,713,776,477,310,699,761,077,432,334,920,023,109,636,764,870,260,633,
722,720,774,511,069,994,637,255,378,425,740,155,158,791,313,347,154,605,268,
860,107,392,601,180,413,910,411,921,598,694,994,061,137,113,681,354,537,805,
046,063,259,526,351,333,044,827,425,137,183,734,872,728,567,167,625,877,751,
927,635,903,276,807,042,876,824,639,283,543,631,418,529,897,394,455,107,735,
634,568,563,436,675,447,873,483,912,164,295,928,822,722,184,169,884,647,010,
295,348,401,310,444,315,546,758,493,440,258,524,979,909,743,812,634,205,670,
117,942,495,094,242,265,830,364,017,209,374,841,316,507,205,390,582,692,811,
433,551,378,868,570,005,441,505,922,581,843,435,691,485,180,476,286,156,765,
205,915,546,937,079,200,624,927,565,561,830,471,519,594,027,654,277,660,481,
949,547,495,099,081,901,593,231,635,595,682,466,065,638,602,391,864,811,151,
648,659,802,282,932,380,714,317,235,628,174,136,631,985,217,351,314,940,983,
396,105,676,413,348,622,545,511,930,646,187,113,600,918,582,031,107,128,968,
053,292,903,161,178,236,030,717,955,186,327,003,374,894,534,880,216,088,915,
370,302,951,249,717,840,403,967,373,379,686,795,049,842,451,981,900,342,446,
996,684,814,050,291,207,161,577,002,276,421,113,551,267,616,458,675,190,348,
179,108,779,232,600,795,046,350,566,250,000,300,754,516,861,980,672,448,030,
815,409,651,330,504,493,131,026,426,660,535,611,308,648,953,925,862,632,353,
360,203,258,938,133,870,637,396,769,183,639,626,095,327,388,500,308,589,554,
184,605,806,749,834,348,427,288,993,013,965,769,432,773,278,094,419,241,854,
638,635,662,755,707,594,578,200,577,066,992,324,354,123,836,360,296,021,313,
196,175,618,275,225,803,698,130,406,833,590,411,594,392,616,385,988,366,054,
021,342,189,540,361,310,447,381,287,817,688,827,909,867,031,500,041,443,320,
335,131,997,365,512,153,438,890,278,534,189,754,063,095,104,985,166,967,808,
097,954,944,944,567,768,929,915,735,750,871,685,443,633,130,712,909,025,738,
220,482,913,682,004,893,080,917,659,607,950,473,222,357,093,394,625,285,973,
699,242,240,043,385,069,889,051,182,228,837,247,674,938,671,933,269,257,544,
270,598,763,788,580,420,408,314,401,441,748,385,614,012,514,783,546,580,799,
915,627,187,241,499,351,807,473,887,158,603,740,448,816,145,617,536,917,501,
979,980,157,146,413,557,366,125,588,207,364,033,854,271,128,904,904,071,003,
765,663,620,886,776,589,097,556,766,525,261,745,580,120,640,397,945,761,476,
479,860,119,187,953,728,441,860,469,258,806,471,491,010,720,020,676,863,585,
133,357,403,509,795,329,257,892,372,601,844,348,133,043,915,563,444,506,275,
005,660,151,245,530,015,485,101,467,528,649,431,110,002,344,038,788,351,416,
901,993,661,674,839,105,392,540,313,930,406,718,811,849,945,195,578,090,261,
751,668,994,090,474,186,609,098,592,520,956,257,896,064,227,137,641,312,100,
420,957,808,056,146,198,577,533,272,968,228,747,742,609,923,631,773,386,463,
402,092,160,920,226,310,973,598,452,876,982,727,644,269,547,704,285,557,732,
132,624,694,003,024,780,373,110,275,692,193,210,142,309,905,980,627,540,078,
438,518,284,416,595,927,106,974,515,780,223,373,495,549,566,029,058,764,176,
585,249,516,144,219,882,932,078,977,942,976,633,329,123,451,168,069,834,090,
961,899,797,837,790,471,818,020,855,061,234,451,103,570,655,985,903,871,477,
816,627,124,254,616,421,813,399,291,264,322,698,095,660,117,402,630,275,516,
532,936,146,008,727,184,967,078,176,230,206,532,428,624,783,998,393,336,821,
146,021,895,939,012,772,068,675,050,169,351,023,482,304,620,927,559,777,194,
017,571,486,204,487,574,616,032,666,780,556,463,161,217,339,050,539,640,770,
192,810,522,399,032,695,384,107,355,412,635,204,436,664,954,976,552,512,739,
169,156,502,459,011,382,906,889,509,495,541,405,560,464,582,161,183,512,379,
207,574,919,228,065,727,670,091,893,945,613,751,192,377,950,612,413,888,281,
205,641,145,110,287,437,124,601,500,017,155,830,559,819,850,973,852,451,809,
722,165,357,919,389,444,738,618,028,319,664,393,598,548,110,329,221,865,190,
699,708,092,194,586,768,936,989,887,809,972,555,309,375,579,648,884,242,502,
981,018,153,009,672,427,884,303,714,935,142,210,180,620,829,608,158,584,221,
484,292,881,937,656,762,936,443,904,666,389,647,805,550,496,114,972,283,182,
180,860,735,778,344,680,224,233,865,134,202,324,622,607,478,790,600,582,306,
211,246,698,126,106,206,382,732,086,846,585,130,577,886,369,658,727,769,037,
579,538,753,587,274,958,984,400,524,759,971,656,839,099,306,472,780,116,395,
488,188,512,877,407,318,274,310,471,993,998,658,567,395,032,402,824,226,359,
366,486,346,537,236,932,947,304,035,992,665,163,187,138,490,652,166,749,991,
256,531,301,420,913,809,983,537,549,107,247,723,532,631,501,848,604,414,456,
103,626,852,272,366,274,967,624,681,049,259,827,340,064,500,235,528,971,108,
522,239,529,486,628,410,658,613,617,941,184,517,450,303,648,100,327,946,582,
289,416,454,517,683,043,650,388,617,612,745,415,773,048,063,064,976,683,723,
362,286,205,848,041,685,049,866,429,246,195,146,073,608,667,499,419,098,836,
146,297,676,106,011,108,240,966,765,596,313,910,213,863,076,280,519,171,007,
175,471,120,260,158,635,494,708,774,653,303,190,243,929,798,372,478,149,284,
295,631,169,574,261,851,680,163,862,858,125,566,141,785,733,286,850,276,043,
243,977,977,836,396,596,036,514,094,083,621,030,915,029,310,030,304,013,621,
967,475,353,858,248,769,185,549,989,971,773,113,710,777,008,485,913,165,695,
119,364,845,418,952,153,580,725,485,506,053,324,057,938,771,653,281,457,337,
935,322,419,389,090,881,348,633,369,736,490,756,034,730,438,563,084,061,042,
450,203,030,100,605,654,531,946,301,305,209,759,459,932,598,966,629,974,247,
549,946,967,766,349,586,848,587,700,260,486,425,961,653,424,374,436,202,554,
602,181,273,400,964,600,770,535,660,104,742,967,719,574,201,660,149,033,011,
071,665,167,532,403,273,122,104,241,854,051,332,468,933,174,054,805,159,017,
726,530,036,421,225,611,037,131,386,972,680,258,465,293,486,840,429,864,632,
304,523,814,920,059,939,295,420,391,047,702,006,410,847,660,343,839,347,373,
857,408,004,108,946,693,455,921,156,689,864,565,981,594,029,213,113,996,787,
300,563,523,429,801,408,251,135,369,022,970,525,392,875,001,873,212,822,561,
694,389,010,723,616,805,629,100,804,431,815,375,380,069,108,815,319,003,311,
691,906,958,713,575,566,385,769,253,376,004,202,682,989,640,799,165,738,625,
950,556,333,674,487,570,220,907,842,298,514,680,574,284,970,840,547,395,320,
571,208,848,294,486,670,568,364,450,664,011,248,776,798,606,229,165,255,784,
538,333,061,611,672,141,347,161,132,904,990,011,509,714,628,263,677,635,253,
813,169,543,619,229,289,117,266,357,972,804,393,766,977,152,431,416,652,576,
142,913,634,016,624,967,015,739,426,167,740,283,405,342,789,437,851,999,600,
312,805,746,926,631,038,930,094,365,830,116,233,351,599,543,614,537,433,681,
015,286,275,486,306,906,290,279,214,729,286,098,893,958,292,541,912,271,570,
714,839,489,809,542,903,439,882,779,344,074,493,552,667,955,837,276,933,492,
586,722,568,317,741,375,092,857,167,332,161,230,810,313,145,728,645,078,331,
431,730,576,971,140,995,796,022,373,034,653,910,386,132,380,580,402,284,605,
789,066,160,028,737,655,458,899,397,645,792,043,965,209,179,025,567,252,985,
000,297,142,044,477,153,252,946,425,868,319,001,691,267,962,909,466,388,022,
648,643,489,420,629,456,835,890,851,423,536,128,027,889,540,512,452,531,749,
856,550,354,764,721,982,640,669,877,612,801,658,886,461,393,067,409,024,631,
844,041,249,712,114,460,476,429,093,575,052,915,281,184,796,108,004,849,930,
867,005,290,290,540,846,563,232,172,226,687,457,628,082,043,819,636,385,868,
171,821,021,392,104,188,003,122,893,003,393,134,753,574,420,173,271,401,031,
814,199,716,404,842,190,957,760,747,103,933,972,725,213,046,267,095,051,712,
555,795,489,876,152,402,105,477,349,619,388,434,004,647,403,944,544,453,355,
285,970,692,798,287,117,627,046,140,356,790,267,403,062,213,570,104,006,755,
565,032,556,515,781,133,805,737,493,055,136,986,852,221,448,188,462,866,001,
699,699,788,877,761,292,758,006,038,558,854,857,858,324,439,929,475,573,559,
580,407,914,510,364,570,547,593,929,984,938,075,894,402,991,594,354,571,200,
563,785,847,126,438,183,970,640,625,360,466,041,488,428,986,235,397,361,298,
559,336,558,398,312,703,031,481,562,034,449,257,845,009,966,447,588,932,362,
500,233,256,584,776,315,735,168,993,467,814,698,482,919,697,877,493,359,981,
704,398,047,125,250,805,098,198,889,359,826,886,027,930,387,183,745,380,323,
406,050,521,641,643,190,714,761,056,461,925,153,759,987,400,589,215,664,269,
961,383,922,449,604,755,289,083,792,609,646,564,683,532,620,689,898,716,866,
869,862,075,047,705,295,682,521,864,848,841,153,690,264,081,529,805,700,827,
091,851,527,928,382,547,671,614,033,928,033,012,359,691,779,050,551,783,576,
932,817,818,357,452,622,004,324,331,600,563,692,795,540,601,984,898,165,304,
478,826,365,039,854,406,544,101,700,166,939,106,535,343,031,917,412,299,352,
141,058,071,420,791,070,226,717,811,212,011,869,887,920,745,633,212,480,508,
650,976,723,549,835,534,871,982,220,360,775,404,775,730,300,695,533,634,259,
242,323,628,278,903,659,287,427,386,308,994,350,966,211,951,381,167,264,747,
326,739,800,426,730,559,629,706,205,049,883,222,067,114,306,495,238,053,947,
006,275,554,014,989,504,393,739,409,747,121,661,174,646,166,699,067,643,775,
400,773,057,173,572,439,700,508,321,364,446,438,496,267,090,902,009,368,833,
033,661,191,467,624,214,139,320,247,636,193,604,319,515,532,340,313,100,074,
454,046,648,495,195,022,981,915,660,248,514,860,539,973,233,058,773,551,113,
752,164,948,699,203,889,513,738,557,112,905,160,057,723,528,720,248,938,996,
148,193,554,086,240,515,464,291,199,702,468,684,920,302,758,160,181,607,818,
572,471,833,813,999,824,680,873,675,629,813,712,850,273,527,828,997,248,018,
630,523,487,147,889,529,716,459,636,272,185,937,840,302,868,561,165,585,080,
328,951,927,956,474,005,296,976,979,725,905,648,578,538,917,872,842,510,054,
000,355,969,466,826,079,440,491,427,710,307,562,975,928,056,010,722,130,635,
037,359,680,513,601,153,002,482,881,446,279,311,545,672,943,098,911,404,598,
665,045,813,807,488,937,231,463,903,948,192,315,698,085,281,963,322,918,224,
803,792,980,844,672,203,874,219,499,597,407,436,552,013,981,584,593,011,003,
010,749,662,874,912,134,555,616,571,156,697,613,374,098,120,340,693,125,973,
223,208,606,994,971,336,588,853,887,283,187,202,782,098,845,835,825,603,667,
187,631,516,611,617,754,291,657,578,617,609,040,524,534,438,532,855,456,330,
248,319,505,960,300,723,596,290,932,000,662,967,743,891,983,940,887,414,086,
413,744,928,999,676,868,926,607,245,152,070,172,012,420,273,972,011,101,759,
460,523,571,988,076,354,464,202,873,207,888,704,710,714,271,632,495,593,261,
420,393,686,709,318,320,778,342,051,517,008,566,354,143,470,806,998,599,804,
727,256,358,922,428,612,854,193,140,358,407,969,391,362,883,797,334,228,459,
461,203,057,042,754,858,697,590,636,005,549,697,303,336,591,818,650,966,038,
710,890,531,189,293,813,835,205,077,371,727,331,519,888,686,976,774,379,157,
410,781,040,343,186,518,659,460,091,869,084,385,849,775,635,673,158,105,416,
090,953,033,303,079,306,785,061,562,582,564,365,972,767,117,620,361,710,301,
566,972,329,052,743,983,628,392,565,611,981,409,964,598,120,975,782,101,269,
119,439,896,852,450,681,718,500,403,606,823,171,893,147,094,980,260,783,357,
498,543,724,355,123,662,435,766,634,064,013,881,416,966,545,399,981,953,037,
607,049,066,403,487,358,152,703,645,134,123,049,808,951,525,477,548,268,595,
699,668,017,359,099,209,538,190,721,926,977,387,660,475,905,554,490,007,698,
363,501,375,658,918,823,894,690,357,420,748,601,839,540,601,408,011,298,939,
023,412,940,822,162,866,457,551,231,460,754,086,984,995,390,882,291,965,880,
428,631,419,530,241,964,465,444,479,452,982,355,818,042,609,758,983,462,289,
786,966,578,482,133,882,832,184,091,471,667,074,862,966,031,205,270,938,464,
255,712,089,021,379,762,430,929,351,845,315,889,596,292,720,969,581,484,144,
280,809,454,783,235,857,569,069,072,318,072,622,434,682,856,008,056,443,580,
543,479,744,277,217,339,226,128,035,517,014,788,684,761,884,983,210,741,428,
396,018,178,811,367,909,739,174,259,368,694,313,180,865,809,053,696,436,302,
795,134,014,942,476,142,410,151,523,366,269,833,648,930,724,016,913,851,286,
522,424,859,926,541,708,470,281,225,302,743,351,673,909,765,049,102,385,443,
991,505,368,535,289,593,502,787,458,916,597,723,544,158,148,861,527,266,297,
279,560,179,222,915,223,224,106,884,180,762,900,107,843,516,483,189,613,538,
972,472,313,907,293,314,423,486,156,620,832,441,515,525,102,103,431,776,899,
743,701,941,128,992,419,844,669,690,485,679,922,928,273,930,728,596,771,510,
728,572,948,259,004,877,340,202,383,082,845,521,546,051,326,103,364,956,935,
681,866,173,156,039,981,984,212,180,989,520,487,975,466,205,114,203,218,240,
507,930,510,731,422,061,956,461,219,033,165,010,609,396,629,572,645,847,156,
060,990,995,951,049,106,392,655,312,011,133,912,621,899,126,408,870,435,137,
526,070,997,944,448,195,652,036,822,223,104,786,703,884,180,221,550,904,124,
955,650,035,360,011,782,213,062,129,557,467,127,451,545,987,397,761,468,434,
587,423,350,204,203,465,456,861,775,763,247,299,255,060,503,686,480,097,245,
861,384,285,710,117,541,679,856,506,837,438,862,759,814,737,564,736,184,713,
300,803,819,760,819,838,887,749,803,790,923,309,126,163,434,758,673,513,450,
748,048,233,682,736,706,450,943,500,231,810,642,872,596,870,821,729,837,308,
251,330,216,850,552,933,200,801,260,629,884,495,928,898,020,042,490,477,721,
819,476,362,306,102,734,189,038,890,859,724,893,340,511,571,865,824,904,240,
519,294,838,762,429,721,642,717,863,088,831,452,789,692,659,213,455,069,690,
057,874,693,942,084,691,839,245,509,729,310,856,633,960,127,320,319,357,309,
222,860,114,894,503,790,889,872,814,115,276,387,889,559,041,233,558,003,760,
834,592,325,073,056,333,101,545,713,574,738,557,208,859,910,590,573,423,206,
449,839,808,115,590,242,165,075,830,856,277,467,086,955,752,391,477,108,078,
789,543,442,583,527,249,410,143,483,211,061,213,529,050,841,335,318,036,076,
561,036,269,986,961,758,431,656,587,589,998,876,828,227,317,346,582,343,350,
141,755,430,376,507,224,616,167,259,078,082,014,112,275,282,465,875,817,560,
486,752,092,661,593,921,057,662,764,953,899,476,023,550,921,397,040,040,903,
829,615,567,517,231,960,126,235,308,700,563,504,973,426,147,428,457,357,169,
338,393,237,112,248,061,614,728,097,946,912,883,070,965,514,753,097,003,426,
228,449,856,231,932,620,305,097,448,978,179,098,957,778,286,738,417,618,761,
551,766,216,404,034,381,520,031,930,865,037,273,488,312,329,298,022,396,210,
849,978,628,888,559,079,312,701,352,536,351,202,603,343,851,458,902,155,059,
562,543,488,427,059,054,037,077,577,021,093,988,200,378,808,002,154,012,186,
067,218,275,687,300,424,285,774,610,772,997,654,689,973,057,508,238,101,976,
491,650,218,747,304,592,994,532,466,578,823,759,558,967,565,959,016,148,944,
515,984,875,207,426,650,723,879,893,108,519,483,144,808,914,256,967,426,824,
753,003,794,339,395,780,704,917,942,577,698,999,549,204,170,115,109,675,694,
310,163,921,762,646,979,948,080,331,603,639,845,082,837,551,981,753,966,116,
479,065,764,422,230,287,650,964,424,915,166,703,866,199,068,678,309,708,856,
387,708,926,190,914,869,509,623,367,745,201,933,763,474,882,491,193,962,324,
176,401,527,917,705,064,901,548,043,907,069,635,074,218,568,823,824,863,099,
166,011,431,179,434,758,984,032,393,047,145,011,839,215,432,127,326,469,764,
714,089,900,849,718,103,796,642,384,039,031,832,153,544,380,063,482,036,712,
710,932,138,874,729,838,375,507,837,540,302,669,337,107,638,518,287,650,712,
190,484,385,194,948,548,276,576,344,932,273,071,349,623,382,949,192,862,842,
910,069,527,082,265,192,418,718,511,857,455,151,054,173,473,965,208,040,245,
169,700,434,172,182,841,110,700,266,841,976,152,856,324,260,693,651,417,771,
689,162,117,024,682,028,249,436,528,071,467,819,764,525,116,234,808,045,292,
079,648,365,121,997,563,316,752,147,194,205,418,394,404,572,383,291,468,501,
394,595,945,999,074,769,540,024,631,486,766,145,445,437,193,307,432,426,380,
397,095,785,978,182,151,173,336,981,043,848,403,418,321,058,866,811,572,723,
161,482,403,485,126,211,734,149,656,585,164,472,555,818,998,682,882,066,986,
576,729,364,779,935,608,232,407,323,963,196,561,821,323,368,518,137,654,704,
207,758,234,307,816,028,290,113,074,436,939,991,393,572,623,678,035,649,042,
000,570,401,679,934,710,560,999,558,908,548,259,666,313,765,438,605,052,121,
006,642,053,845,434,639,476,445,860,934,826,312,624,714,849,826,985,227,045,
905,475,922,059,401,019,941,493,476,888,549,882,161,050,083,585,506,362,492,
483,137,613,487,381,891,351,542,228,959,114,974,491,451,001,713,092,648,555,
516,576,043,705,177,881,350,249,515,213,928,354,255,529,295,946,659,920,169,
865,286,471,481,603,132,656,875,493,207,107,909,925,932,826,677,170,794,463,
543,665,307,106,187,720,781,685,200,367,795,825,852,862,829,103,773,265,898,
904,263,965,642,981,859,358,707,591,776,081,746,532,772,735,616,945,201,481,
353,290,916,249,064,653,181,312,594,638,577,484,836,896,354,180,659,824,406,
263,506,272,729,402,601,854,968,042,767,032,675,057,185,124,618,383,893,176,
454,158,310,562,359,150,058,663,092,695,903,233,710,565,082,235,220,445,009,
664,529,508,220,117,255,298,698,067,047,186,178,608,661,012,456,655,026,406,
426,407,580,007,128,135,228,785,604,793,833,970,942,056,192,138,041,933,844,
909,786,806,777,404,883,329,563,717,014,674,523,602,469,791,123,401,542,650,
513,178,093,029,374,786,749,227,014,269,534,692,944,725,512,243,599,048,971,
157,424,490,554,647,276,002,788,210,856,375,693,499,653,197,024,959,029,204,
095,426,995,323,418,546,100,271,215,268,366,654,397,510,921,435,972,330,220,
977,101,000,238,948,571,518,889,602,765,398,798,081,616,998,942,346,512,708,
943,641,885,910,980,915,168,872,282,398,756,280,562,289,391,580,306,967,301,
670,139,966,803,319,866,200,349,672,198,988,406,438,734,775,738,872,169,092,
537,387,374,530,286,105,973,541,921,281,026,822,294,086,763,731,583,005,841,
456,463,494,303,372,057,869,487,591,300,392,539,401,643,852,695,460,794,529,
558,150,283,540,396,955,977,003,972,161,743,365,940,914,660,655,042,141,107,
794,273,449,435,643,580,039,816,259,552,635,107,360,447,212,359,525,758,580,
837,113,876,753,007,562,178,452,400,731,681,141,104,548,989,981,942,627,453,
531,264,063,650,577,705,033,437,443,971,581,183,351,639,814,575,445,540,669,
432,481,731,832,958,427,648,095,018,722,160,022,586,574,693,698,007,474,077,
230,056,984,453,026,789,049,567,549,853,091,584,121,278,908,250,590,956,407,
434,951,931,439,670,796,793,295,380,913,723,453,151,149,424,263,361,551,041,
070,026,808,026,222,978,097,028,659,986,885,036,978,212,421,022,844,905,274,
699,566,289,148,842,009,303,876,600,229,085,894,823,026,600,600,851,759,665,
324,945,892,470,997,797,310,927,897,533,076,781,238,261,556,741,328,715,221,
273,651,404,881,462,282,995,099,067,899,949,031,443,704,382,230,437,961,983,
807,928,879,454,409,081,804,905,144,956,322,046,973,932,744,612,078,485,203,
406,325,080,265,424,886,060,104,474,631,560,762,890,660,796,383,867,407,046,
452,187,953,648,302,837,427,998,583,989,916,480,119,705,391,527,104,101,950,
259,428,216,447,551,501,873,065,155,243,226,107,778,038,673,677,248,559,210,
150,089,489,008,002,178,589,966,019,938,496,819,701,472,803,901,863,848,274,
654,610,451,574,074,251,258,315,962,452,565,503,540,515,439,165,584,918,341,
097,937,433,745,137,099,410,886,890,147,065,389,078,028,739,923,258,506,887,
176,330,457,458,728,865,282,405,540,569,447,623,797,159,882,099,203,705,543,
638,560,106,066,040,747,374,296,785,614,925,531,462,239,827,487,953,618,659,
154,392,608,061,137,068,610,011,559,381,903,086,315,056,521,227,774,531,722,
035,761,222,554,424,346,633,935,035,307,093,546,497,640,848,872,278,690,448,
281,506,902,883,182,143,648,258,375,924,181,329,368,053,355,255,973,903,941,
734,128,563,562,904,895,846,699,446,582,108,253,191,004,624,473,276,953,052,
409,751,737,584,840,459,124,092,954,443,205,524,059,880,592,433,001,068,380,
154,831,360,312,871,916,077,424,195,220,534,354,865,259,913,673,362,881,282,
020,903,946,743,959,315,288,715,896,929,584,708,004,008,246,936,101,618,140,
259,293,248,176,661,139,793,200,877,313,816,240,920,794,723,515,918,904,665,
316,208,347,501,276,108,139,459,316,513,727,871,850,822,490,339,131,648,596,
951,584,947,059,275,544,841,235,218,854,988,226,739,793,608,857,866,222,003,
454,782,395,565,020,797,772,594,654,125,047,344,648,760,723,062,287,285,209,
703,164,059,788,456,812,426,826,163,427,341,615,873,522,577,874,550,721,605,
678,526,088,229,366,371,138,410,075,007,649,455,964,855,614,764,808,640,284,
041,296,282,200,370,197,182,391,922,655,548,235,533,352,637,559,468,135,014,
291,732,960,853,826,296,685,211,903,413,663,113,090,862,311,255,050,412,568,
769,682,223,857,945,968,750,510,272,588,222,371,728,412,342,203,185,738,251,
102,103,178,963,078,884,708,684,823,982,029,462,149,114,486,405,777,017,259,
983,848,761,538,576,686,499,775,797,190,545,778,809,462,050,799,151,511,168,
377,976,301,267,022,778,348,005,632,508,935,303,284,519,657,144,797,049,388,
589,634,899,454,281,455,756,463,360,982,469,414,711,306,472,125,391,609,588,
642,734,208,901,220,555,705,688,717,488,353,274,575,114,143,008,598,431,573,
436,848,068,374,795,706,306,625,429,406,404,627,168,832,225,882,741,596,868,
473,809,844,872,613,450,898,622,436,794,916,148,953,057,952,368,550,196,875,
688,432,040,265,338,164,351,155,260,914,499,013,127,428,980,292,246,288,183,
933,292,939,601,126,651,360,218,225,243,084,678,884,175,879,367,793,644,563,
173,938,440,718,852,573,542,141,452,536,315,561,416,356,559,311,241,442,668,
846,253,726,940,923,824,279,203,079,148,280,747,009,541,925,063,163,613,087,
309,986,626,892,520,226,025,476,915,779,748,875,746,537,561,253,302,481,045,
889,655,277,525,867,569,302,154,861,820,799,127,929,798,339,418,626,776,087,
213,519,784,982,780,631,803,975,530,899,429,872,071,469,692,554,202,798,188,
847,535,282,091,927,292,317,153,233,350,309,029,390,839,041,330,332,324,484,
932,702,722,124,354,954,279,716,123,675,075,558,424,996,514,682,745,669,211,
331,681,814,651,250,721,380,271,450,295,947,114,705,842,393,209,525,405,522,
929,937,920,008,462,180,659,201,351,527,295,382,786,477,325,090,887,757,033,
335,697,754,186,884,513,548,392,267,208,691,550,035,530,971,601,605,024,874,
745,166,664,933,660,710,833,415,013,976,038,007,514,518,593,808,842,571,030,
374,753,776,666,781,191,305,239,480,132,273,662,261,828,881,141,174,750,754,
677,958,080,614,803,935,115,217,496,617,860,939,200,830,323,236,533,791,323,
703,129,110,873,098,995,992,720,297,732,272,019,514,374,112,643,040,089,293,
724,509,955,596,486,573,521,564,245,695,515,906,749,837,191,723,295,437,854,
574,366,155,705,660,797,983,475,471,343,938,705,666,517,750,284,409,722,077,
672,868,396,468,036,655,034,044,138,364,952,591,594,788,817,133,566,956,130,
720,526,737,060,835,655,484,333,492,453,840,045,888,770,614,442,919,521,213,
364,279,171,957,815,518,257,080,359,080,383,412,160,212,831,293,910,705,106,
628,104,432,562,658,372,462,579,414,962,498,950,314,852,653,827,350,848,043,
922,822,462,828,844,948,755,032,958,889,901,530,315,972,844,830,357,031,009,
553,563,913,078,792,778,925,896,409,670,823,307,682,759,209,342,579,999,465,
685,972,974,913,671,748,615,020,465,658,763,290,678,756,820,734,448,843,520,
955,313,120,368,704,565,669,888,625,222,940,042,584,407,250,688,352,918,905,
476,098,400,113,321,317,565,104,485,801,766,379,638,288,729,373,051,630,557,
258,787,853,078,319,319,086,964,136,982,771,188,963,776,314,276,365,333,371,
485,131,246,481,540,884,262,396,098,037,980,687,386,252,058,125,394,708,709,
922,541,652,148,851,139,191,788,962,488,094,066,630,208,603,547,908,265,819,
527,260,265,635,119,517,883,106,249,177,005,300,723,995,423,580,774,914,924,
756,676,598,355,510,135,224,043,613,755,750,964,262,752,491,122,957,721,228,
502,201,235,674,387,717,179,950,535,000,138,825,530,342,936,782,813,003,592,
715,735,422,494,629,670,864,373,767,930,608,687,758,661,224,264,802,562,378,
902,879,210,185,795,644,153,031,579,035,687,761,396,738,865,226,219,449,374,
149,670,962,903,035,784,859,795,725,988,788,287,776,396,669,791,595,577,976,
874,716,622,857,818,662,890,140,017,341,734,416,372,587,476,404,535,645,102,
604,882,704,571,965,192,678,331,755,658,692,420,139,788,214,541,127,250,779,
983,716,578,608,829,144,864,433,328,464,908,425,103,740,087,929,880,581,857,
222,144,551,706,926,609,019,093,271,122,289,244,693,605,324,590,440,337,701,
645,872,719,666,580,342,386,349,008,956,811,288,410,074,328,281,467,784,730,
126,490,541,783,892,653,978,453,063,383,896,827,053,707,794,680,653,559,469,
471,911,780,946,595,827,904,039,381,370,813,955,967,582,584,687,070,231,805,
370,060,016,323,340,155,820,053,246,055,596,265,393,484,423,099,966,481,643,
922,643,369,011,877,972,598,641,551,596,009,274,973,206,839,597,681,873,930,
796,526,026,458,849,306,555,706,928,108,429,112,647,248,167,583,186,028,247,
218,103,535,068,877,014,161,230,887,482,492,899,364,684,930,498,688,483,046,
080,732,904,305,272,291,757,568,177,761,366,794,501,317,965,459,801,027,664,
290,192,265,925,228,798,884,000,421,770,371,566,732,696,783,106,249,245,934,
743,458,649,503,344,504,545,859,945,163,467,413,847,291,787,586,357,638,278,
770,178,380,889,054,568,162,926,619,230,798,241,604,271,529,636,293,367,678,
408,012,599,579,478,337,686,556,381,417,885,786,454,041,256,766,922,301,029,
000,035,259,560,544,569,471,395,696,792,785,145,836,217,468,939,619,085,264,
639,958,542,901,844,196,039,212,412,976,107,414,756,977,898,074,377,213,243,
569,910,912,837,672,332,569,787,185,897,151,248,181,163,136,032,480,730,440,
971,543,137,451,365,409,973,088,767,258,114,321,031,802,853,226,163,991,268,
605,319,585,393,801,656,189,057,608,570,390,614,156,677,919,137,113,920,191,
782,967,435,350,363,889,267,350,253,303,746,980,655,499,449,904,611,059,851,
829,208,301,757,644,668,156,152,478,959,831,772,780,711,666,816,429,040,015,
853,123,255,684,800,040,178,608,546,700,913,158,400,484,149,852,807,813,171,
704,665,043,057,739,443,515,119,189,324,795,071,834,561,284,057,862,798,619,
184,487,284,679,768,579,584,629,383,394,445,323,326,945,532,221,421,650,575,
958,877,853,917,802,689,103,874,870,488,390,936,302,540,194,840,871,813,730,
229,109,027,117,816,488,579,707,922,563,845,769,778,316,038,894,877,911,012,
519,477,129,983,082,977,684,822,895,657,822,702,211,538,092,606,589,007,262,
982,422,715,167,605,274,154,988,414,125,114,047,606,731,851,749,717,922,471,
855,845,096,418,072,846,041,062,250,023,759,097,955,940,358,437,433,445,799,
365,225,716,021,590,307,803,724,900,211,155,742,621,857,457,811,827,564,812,
113,904,959,990,120,932,056,693,857,752,533,201,079,728,799,417,221,732,085,
639,732,744,574,976,003,466,097,165,212,593,164,694,560,624,330,732,256,209,
057,662,590,581,684,026,578,264,596,340,229,256,393,238,297,788,119,594,189,
334,352,115,973,003,095,825,088,236,346,752,631,953,996,253,596,417,953,870,
665,349,958,603,650,798,911,245,194,127,412,210,650,268,533,186,926,623,173,
350,555,167,928,481,057,209,444,798,562,737,045,813,411,829,604,396,575,446,
738,306,063,787,259,207,010,013,543,230,696,333,625,697,303,082,320,780,247,
643,844,360,579,881,245,755,619,210,926,601,842,557,185,788,955,588,940,170,
398,097,384,832,075,270,755,283,776,398,637,749,494,714,089,439,025,399,084,
995,940,974,283,187,460,715,573,195,449,860,444,871,601,639,228,610,738,114,
501,886,636,410,225,769,437,163,256,493,156,915,613,825,040,598,406,327,726,
993,079,580,056,948,616,370,145,228,217,912,683,026,173,559,947,366,785,771,
995,074,176,715,611,716,020,876,352,494,406,593,267,505,619,666,376,937,051,
045,730,280,193,024,598,129,220,829,257,600,269,594,587,892,692,696,252,180,
564,881,568,221,433,668,507,361,135,798,992,902,286,083,719,394,641,655,029,
100,424,023,155,951,181,677,352,057,497,017,498,897,405,661,105,388,255,780,
492,115,535,568,050,414,565,583,072,617,782,024,698,385,790,912,990,045,145,
790,462,015,892,161,831,023,848,502,763,317,526,097,040,021,481,124,928,036,
407,179,240,289,136,410,407,773,542,201,034,272,797,421,869,469,706,094,101,
585,377,090,696,128,624,438,177,483,189,688,231,432,292,482,142,511,310,111,
280,677,454,963,556,835,039,731,551,681,948,511,008,091,069,292,946,250,291,
077,042,908,202,660,668,868,264,029,131,485,254,717,705,606,486,275,048,904,
187,286,614,341,652,833,528,714,604,999,765,741,886,526,165,995,148,993,839,
093,186,464,251,529,212,315,296,545,034,430,239,529,484,277,489,532,138,152,
306,712,464,094,919,498,314,606,476,191,071,387,748,842,375,689,181,918,309,
969,281,790,712,341,082,108,643,748,352,313,411,568,916,399,459,275,290,402,
218,287,899,967,555,780,336,920,133,332,775,107,669,919,988,623,238,655,361,
154,930,328,630,722,439,787,973,998,940,449,028,417,417,899,491,483,016,560,
057,813,951,746,113,163,573,026,628,448,141,174,392,987,137,510,808,570,474,
595,306,280,597,838,269,547,457,379,978,054,695,895,963,336,845,437,040,797,
200,175,904,906,811,579,583,216,371,158,916,678,681,183,930,897,441,380,632,
062,455,179,636,869,853,622,853,318,861,079,049,463,160,606,062,965,748,942,
042,604,923,122,841,027,375,414,039,263,132,249,597,844,431,672,104,583,945,
069,964,734,822,216,173,461,950,254,077,993,560,912,808,710,358,827,901,708,
175,470,096,942,508,560,350,154,936,893,717,421,675,066,267,575,991,771,015,
119,524,279,752,392,274,037,338,202,157,793,237,121,869,506,178,696,328,152,
132,330,057,762,438,718,614,443,653,542,422,886,483,263,175,611,130,650,068,
705,875,664,525,846,133,181,563,688,256,855,574,955,111,093,216,676,155,783,
841,978,472,188,204,951,188,682,215,172,389,339,010,976,994,833,588,158,861,
371,667,553,827,701,099,834,600,224,028,865,260,731,950,241,295,344,220,527,
279,263,089,875,514,211,634,408,024,696,578,500,585,816,426,468,556,904,319,
933,363,385,576,748,163,912,147,360,124,661,837,369,244,806,312,883,647,790,
916,321,803,039,035,059,949,787,493,612,018,534,032,868,362,655,166,643,601,
416,250,676,967,994,370,196,917,309,853,563,901,148,661,566,042,042,745,537,
565,636,568,512,393,444,495,789,646,527,789,896,196,824,875,852,080,790,878,
555,709,679,112,373,462,756,439,860,570,351,064,371,289,384,765,283,329,755,
863,438,717,253,918,702,168,554,756,452,501,984,642,152,716,659,787,715,688,
680,643,125,590,727,369,947,934,016,564,231,713,193,057,769,781,522,707,840,
119,721,487,066,070,534,888,751,175,574,850,532,357,743,076,150,321,262,323,
876,120,485,470,161,538,985,377,268,499,974,354,436,130,372,552,838,212,134,
488,405,102,907,414,296,963,231,110,066,447,758,166,235,245,070,312,972,273,
536,851,414,774,308,933,793,360,968,650,472,299,824,704,603,482,762,455,031,
589,896,073,772,833,565,810,572,440,929,802,129,865,885,143,967,183,175,690,
150,227,810,834,158,069,050,497,678,924,652,380,209,667,110,883,944,725,045,
138,912,521,953,887,273,371,907,290,055,440,447,336,733,821,274,244,119,124,
044,962,642,714,650,977,090,265,003,865,063,281,494,081,047,399,648,420,351,
384,161,223,947,431,967,093,921,314,733,105,216,253,089,628,708,808,230,821,
401,781,147,080,140,694,556,312,255,143,316,869,549,748,917,459,153,516,315,
541,436,599,826,854,163,715,358,574,462,070,837,184,734,832,832,633,884,708,
768,074,272,690,093,522,811,489,281,344,767,167,250,604,230,641,448,947,868,
391,607,707,617,793,267,275,573,998,176,679,909,152,774,190,186,604,955,260,
527,397,548,351,980,275,794,493,185,581,027,041,649,695,862,358,461,294,298,
326,776,864,874,129,155,841,741,734,396,219,674,340,348,142,703,091,750,498,
274,648,262,002,417,664,666,291,941,303,629,596,889,773,475,742,674,235,298,
394,189,607,307,696,383,554,758,489,289,626,355,446,945,684,284,833,981,842,
795,547,197,630,174,467,847,267,693,851,422,615,274,506,393,886,197,742,870,
636,587,899,823,101,604,547,926,704,741,266,264,728,413,859,137,077,216,953,
102,452,320,131,013,987,691,367,533,322,305,402,186,604,322,215,769,841,378,
119,522,904,747,053,873,121,575,729,739,298,190,456,168,426,129,241,584,074,
325,401,211,930,315,453,178,578,506,042,242,588,821,188,888,681,652,478,617,
081,446,158,756,695,140,180,769,301,442,908,626,220,830,638,224,875,406,625,
536,822,709,832,251,383,785,438,815,431,586,985,695,086,536,777,327,439,828,
255,778,436,393,553,357,090,412,803,395,126,870,844,202,537,105,516,364,690,
398,564,090,267,046,500,961,550,526,716,789,571,702,933,440,187,910,205,122,
000,285,373,613,796,186,817,091,067,832,491,447,891,146,012,090,004,299,023,
041,817,703,020,351,881,641,964,054,893,384,677,070,663,890,580,807,070,918,
545,077,777,337,097,189,295,604,663,673,087,426,153,997,690,523,075,521,816,
175,299,583,796,634,447,211,531,709,364,113,104,923,406,049,246,925,317,592,
886,222,333,247,778,108,561,124,197,302,251,412,880,163,604,697,287,255,879,
836,449,418,184,159,033,247,611,706,786,275,574,702,446,791,958,312,133,163,
825,945,753,791,381,335,107,736,298,595,065,412,872,451,624,522,610,901,899,
481,214,736,316,366,741,453,624,851,926,004,745,324,563,576,025,346,083,281,
227,062,097,650,125,697,058,798,431,556,857,188,146,076,871,450,283,584,473,
846,843,249,272,402,813,946,857,399,618,607,004,465,937,725,951,265,496,002,
014,796,774,300,103,527,400,372,626,289,886,341,927,181,885,671,127,241,204,
514,828,052,552,180,651,835,566,130,855,992,449,028,748,886,748,350,103,857,
115,735,558,425,768,939,296,420,321,279,156,125,019,737,281,033,119,762,386,
687,466,889,758,266,008,145,888,786,957,611,384,733,831,899,998,169,303,658,
811,249,244,910,360,608,938,777,795,597,414,826,486,297,231,086,675,206,926,
494,896,186,611,832,538,989,681,339,715,166,450,305,429,678,447,656,456,997,
821,989,618,533,894,711,469,220,075,140,850,405,124,273,084,417,883,668,626,
765,275,437,097,851,491,229,570,928,261,508,637,553,310,499,827,458,362,668,
332,297,920,995,469,661,086,086,067,578,715,040,329,302,171,275,991,959,925,
969,768,503,042,176,226,108,062,137,473,564,566,543,206,277,979,481,960,886,
915,987,685,933,720,894,926,590,028,709,310,222,218,748,748,728,898,237,271,
836,683,806,656,019,045,170,860,192,918,218,464,277,709,913,938,196,915,839,
539,605,777,085,129,659,871,307,302,081,662,400,310,939,744,624,498,222,546,
015,909,996,712,504,232,711,692,034,588,182,240,448,693,165,484,674,910,920,
794,527,659,756,065,503,082,410,849,680,372,462,679,106,277,266,360,650,710,
805,757,740,714,976,168,105,655,503,912,523,359,135,797,483,845,180,636,165,
564,005,978,936,048,202,127,019,223,018,862,718,790,714,441,141,849,301,789,
582,282,538,754,413,766,732,502,277,069,069,977,686,230,248,569,712,925,982,
833,836,223,672,166,033,381,153,284,798,847,776,224,831,560,291,355,226,034,
698,294,584,918,588,783,187,725,720,844,085,000,586,414,546,730,158,865,302,
902,146,567,207,637,998,829,650,030,715,196,942,718,389,151,985,539,750,429,
857,381,385,900,130,837,498,282,940,550,249,678,482,640,314,584,185,904,231,
634,824,749,959,573,389,786,756,994,898,308,101,119,396,277,428,272,642,344,
006,721,601,854,969,726,747,389,373,271,061,769,729,065,748,051,784,569,116,
450,249,474,378,046,918,910,953,796,230,755,848,565,063,594,008,083,046,358,
615,309,997,851,139,870,679,552,613,588,332,751,480,656,201,481,995,143,388,
729,633,406,321,196,920,111,365,022,135,863,479,121,575,489,390,870,393,259,
492,720,228,109,001,763,867,486,138,557,354,690,473,612,067,607,748,216,737,
966,633,120,947,151,686,196,786,890,654,662,414,556,898,953,939,110,397,922,
852,244,261,691,233,000,766,533,903,754,211,902,782,013,043,147,303,430,636,
729,044,354,671,284,392,437,323,841,208,978,057,576,546,912,463,007,884,800,
705,966,151,557,372,126,391,679,883,795,924,386,969,280,288,519,206,253,905,
212,758,174,848,736,498,809,939,005,982,940,850,336,828,484,390,952,703,122,
614,666,565,048,920,007,745,901,089,189,728,268,412,664,474,474,296,374,662,
833,964,843,577,041,655,000,322,550,034,695,149,552,502,537,506,052,317,554,
121,190,670,573,381,622,767,851,994,451,549,215,586,405,916,654,170,978,468,
689,087,233,017,563,186,363,099,463,448,139,269,996,907,846,218,325,725,872,
656,381,402,215,759,338,958,493,395,304,823,853,763,164,678,758,809,809,388,
989,150,242,686,806,258,097,790,617,031,716,088,288,133,781,677,549,865,454,
755,558,182,828,325,274,772,977,081,849,549,848,478,482,754,425,565,652,864,
275,754,217,355,930,791,064,653,425,027,874,886,195,927,439,265,727,642,004,
875,715,123,290,746,409,752,436,721,138,677,950,548,420,123,204,778,551,453,
146,389,760,199,536,970,521,276,327,233,248,894,798,889,201,993,914,322,513,
415,107,243,393,345,263,915,239,396,032,725,823,936,116,468,633,004,429,525,
785,316,849,386,230,104,523,988,391,416,074,704,887,709,035,067,611,676,054,
655,830,460,088,076,448,329,782,128,474,448,233,535,271,859,384,606,260,338,
362,279,114,959,730,349,374,421,308,662,696,105,190,279,924,939,914,364,085,
848,572,662,614,620,623,392,112,495,880,175,743,381,845,862,399,391,020,417,
900,074,832,440,085,318,983,718,422,862,409,859,066,242,212,797,350,335,437,
396,456,523,023,517,513,847,495,269,361,271,848,920,004,682,062,040,845,921,
709,489,477,884,680,585,042,139,899,696,976,948,596,909,265,487,810,057,717,
267,319,318,274,549,488,516,624,718,888,520,344,638,701,899,780,397,761,905,
008,455,680,469,943,878,489,763,813,255,420,742,657,618,668,368,436,141,436,
436,341,699,588,776,664,020,394,556,810,691,437,667,010,760,842,265,160,208,
876,288,707,652,181,586,260,755,987,470,441,570,074,215,994,028,040,070,213,
413,162,092,223,623,576,365,490,782,944,969,501,599,565,563,776,016,399,025,
965,325,732,533,786,897,677,394,398,917,161,269,765,604,555,474,201,228,281,
280,538,013,624,221,250,180,516,385,298,744,572,988,563,299,281,135,178,912,
317,936,237,529,266,202,329,784,504,455,764,805,598,658,353,908,409,389,573,
795,245,893,163,171,544,268,173,042,703,347,147,144,958,903,252,331,727,660,
380,396,562,455,224,527,010,412,328,159,268,201,196,475,687,109,718,541,756,
622,867,675,101,225,726,910,722,659,518,719,501,154,176,585,107,370,465,793,
181,701,997,113,274,061,124,677,153,879,885,103,774,357,762,619,493,529,704,
108,409,025,899,322,338,040,754,078,667,268,019,061,859,622,005,195,969,660,
115,586,028,656,087,464,875,838,871,901,930,090,012,543,337,180,995,274,887,
415,816,029,034,750,047,027,427,765,595,589,925,996,358,839,150,755,569,449,
730,739,505,544,368,155,111,518,152,434,404,330,701,069,383,786,880,363,770,
862,762,348,574,195,280,422,726,218,005,167,386,303,079,212,368,411,201,329,
358,550,669,854,557,670,223,371,271,355,855,018,458,746,442,730,686,303,189,
513,624,735,144,741,835,150,170,349,396,015,343,040,713,514,087,597,440,760,
526,183,516,388,298,254,015,988,216,642,434,259,304,427,811,329,182,657,016,
344,964,118,874,420,527,741,913,519,365,140,685,154,235,855,940,177,624,946,
748,721,994,368,277,113,821,474,620,065,516,896,099,507,643,451,304,898,691,
403,276,507,706,433,804,733,302,065,762,401,109,820,499,108,094,567,559,379,
157,888,538,464,411,053,641,428,428,232,996,688,850,243,497,331,895,252,374,
513,773,201,025,777,151,648,251,399,769,176,524,301,307,237,677,239,475,644,
472,535,462,380,745,391,613,541,866,390,783,318,029,469,768,657,834,026,541,
396,846,467,096,228,380,169,524,970,730,228,837,337,097,524,186,613,357,857,
069,673,433,322,815,814,009,752,877,600,438,284,467,684,402,006,964,085,497,
538,216,991,897,580,560,542,987,697,677,674,612,762,474,464,407,042,017,061,
535,280,801,660,890,658,744,751,113,031,627,997,524,427,404,561,381,040,287,
650,844,595,636,504,792,161,181,660,232,291,271,152,446,764,044,400,952,974,
132,533,273,301,472,527,703,074,404,051,329,117,088,277,592,698,598,449,473,
969,397,396,427,972,296,372,925,201,251,563,098,591,030,695,783,324,825,145,
391,277,058,702,310,028,840,804,957,764,229,046,710,701,987,982,997,210,453,
969,796,989,505,565,909,284,782,232,739,321,675,726,548,101,984,522,257,815,
359,801,203,882,148,414,513,223,490,312,251,428,541,619,234,158,341,373,218,
882,649,335,895,252,603,648,527,403,042,172,457,179,880,511,715,518,702,534,
029,285,526,629,501,835,614,252,991,374,773,227,867,839,055,005,078,513,956,
679,780,576,285,922,418,275,130,572,748,669,082,925,496,570,096,480,730,615,
554,784,383,699,249,780,310,245,181,220,739,796,277,239,239,838,662,859,137,
356,592,029,997,193,116,410,483,887,802,291,913,555,267,742,973,594,077,089,
728,157,104,655,606,178,597,198,859,617,800,658,350,325,560,005,659,336,249,
094,496,726,869,435,296,258,735,322,851,194,267,970,423,261,477,138,214,774,
140,921,204,032,075,311,893,225,046,218,060,207,096,871,229,821,837,754,026,
036,676,750,524,794,102,527,208,062,461,002,570,393,144,593,403,008,922,625,
265,530,151,841,892,397,402,383,345,300,210,082,286,856,363,945,186,640,445,
057,297,123,839,854,135,484,849,762,969,876,248,952,656,942,237,384,093,455,
302,866,221,202,621,483,287,385,054,079,044,291,183,134,455,401,646,491,223,
066,152,901,247,522,017,168,786,926,606,434,398,639,377,131,520,617,160,758,
786,836,484,417,981,135,051,701,902,674,480,802,824,204,061,703,145,102,238,
509,595,025,427,611,073,875,808,467,873,162,871,743,300,528,965,577,349,760,
281,668,085,240,953,752,947,169,803,470,825,639,824,665,717,673,785,150,046,
791,071,067,456,111,671,743,831,741,231,493,422,171,330,332,772,332,895,553,
110,855,978,137,833,735,115,788,974,815,628,445,355,999,732,859,638,139,645,
531,316,073,308,417,918,267,012,277,901,375,097,289,596,983,227,340,839,317,
016,654,327,309,247,845,726,854,631,218,544,419,541,424,996,478,006,625,271,
187,330,956,449,888,183,459,192,780,229,472,718,941,756,797,077,474,776,981,
359,945,518,213,711,436,982,169,011,620,802,581,402,425,946,145,900,512,840,
489,207,238,422,552,173,422,301,886,618,754,305,944,199,683,745,389,102,517,
860,270,810,401,260,832,347,448,578,681,338,868,809,429,508,290,985,153,129,
202,866,801,808,174,566,734,816,204,996,726,934,251,181,454,919,098,311,339,
168,514,170,714,439,314,213,099,069,096,247,324,859,108,057,137,058,294,444,
650,098,973,650,965,844,310,571,289,984,990,512,027,597,078,616,162,766,165,
843,944,924,977,990,487,896,392,777,914,217,553,274,447,174,944,202,974,061,
197,119,456,033,354,135,849,577,702,554,860,239,018,665,836,992,204,560,654,
432,017,721,811,647,188,818,393,738,820,826,525,234,134,418,331,233,430,102,
060,301,865,079,765,133,580,638,108,290,760,372,593,077,357,385,861,324,757,
248,203,622,358,406,339,912,142,394,425,750,018,016,419,886,907,982,772,656,
035,132,664,721,300,326,954,344,415,009,405,025,143,328,587,072,860,869,063,
426,008,029,716,385,620,707,240,097,762,131,497,996,447,766,509,508,893,742,
752,126,066,530,062,639,117,910,719,651,005,704,134,463,696,874,184,182,169,
824,619,107,367,566,549,853,049,354,421,136,347,407,824,861,206,680,088,006,
017,107,974,232,644,090,524,519,974,761,630,884,920,615,028,674,891,925,740,
291,833,591,245,557,286,490,684,884,628,445,955,955,600,159,473,456,106,869,
538,958,507,902,687,223,279,553,227,046,521,875,964,212,118,749,224,459,762,
550,532,659,657,445,398,901,015,234,673,641,057,971,945,304,804,122,152,484,
544,995,562,921,290,363,626,746,577,716,187,155,762,205,542,573,887,594,614,
908,263,490,703,552,771,546,045,662,498,231,776,356,584,485,971,099,430,491,
006,781,457,329,612,185,712,502,814,597,613,953,966,420,319,087,013,431,911,
143,196,709,563,116,156,775,420,925,361,922,001,763,711,082,437,068,368,789,
174,322,102,880,885,407,672,111,847,420,938,296,536,580,438,643,359,793,785,
089,502,042,353,558,478,058,140,623,959,631,782,391,873,021,843,929,114,377,
932,032,022,421,836,758,591,941,325,097,545,161,165,436,912,440,034,328,833,
003,993,817,308,343,522,081,216,518,249,872,029,167,771,485,085,865,052,475,
583,841,875,933,634,682,744,146,819,512,643,393,296,144,550,561,388,779,487,
454,595,197,124,315,786,559,768,009,136,665,323,280,228,670,165,116,418,454,
224,933,943,302,470,298,350,432,342,556,255,883,981,756,244,373,323,207,869,
917,331,011,189,165,775,512,591,653,243,493,273,175,502,132,486,052,771,869,
361,965,620,344,413,406,706,403,695,795,475,007,069,331,004,397,339,472,199,
260,091,192,254,496,471,136,624,338,721,344,234,906,304,879,478,967,125,263,
762,161,876,303,050,971,365,598,548,493,071,818,678,250,840,918,522,940,198,
770,405,892,343,616,672,286,081,851,570,138,347,960,197,572,035,205,222,692,
183,734,603,141,438,402,792,501,036,059,487,701,404,279,775,925,531,843,482,
114,455,113,935,011,166,590,662,999,708,604,680,302,233,746,558,716,095,240,
135,223,973,613,280,333,407,076,248,865,418,007,197,426,275,878,184,642,522,
157,383,575,335,608,432,328,163,280,773,773,407,955,972,233,085,443,099,816,
422,537,403,884,682,823,284,096,355,714,112,291,166,300,988,478,744,516,036,
912,061,345,453,185,894,951,226,671,551,399,048,008,255,437,886,642,480,914,
851,261,488,636,591,002,896,873,456,526,100,673,413,543,558,850,722,753,098,
946,526,591,731,260,895,305,221,444,088,533,201,396,550,173,039,218,682,261,
109,293,081,445,585,074,783,283,111,775,885,638,396,565,600,963,508,036,270,
266,127,340,318,420,481,358,653,054,732,382,600,040,031,451,190,401,138,600,
771,881,433,892,482,967,991,524,113,828,842,164,020,366,183,475,363,663,345,
342,362,286,194,087,609,885,239,332,719,484,338,865,485,808,855,936,161,587,
293,798,478,292,537,989,817,166,761,913,760,154,007,241,747,621,160,124,957,
346,199,055,208,752,378,508,015,376,630,569,198,802,129,714,519,057,228,000,
399,787,527,353,990,919,465,290,564,399,653,274,335,179,680,174,709,654,074,
710,382,575,779,864,500,818,537,549,778,421,019,477,845,116,042,919,445,060,
356,372,515,732,764,249,316,219,986,790,674,398,353,244,786,804,127,898,604,
432,275,754,370,886,322,742,445,874,552,906,950,559,813,493,998,467,232,211,
597,905,834,808,897,945,426,589,361,155,159,782,939,701,676,599,260,638,024,
403,777,262,554,185,971,588,537,771,158,777,048,204,330,033,090,441,258,106,
641,108,135,135,715,724,438,246,840,026,572,414,810,562,529,653,406,898,465,
305,656,468,929,120,644,138,662,310,351,867,840,269,666,894,171,199,678,305,
687,798,597,003,446,309,492,652,284,804,881,528,767,879,041,563,154,107,931,
974,758,054,844,865,031,474,447,047,273,649,969,024,027,893,278,295,433,313,
306,908,863,314,314,649,349,664,034,448,475,104,034,932,355,410,229,891,381,
984,675,885,453,296,138,215,997,792,487,742,909,291,513,745,630,116,010,104,
899,500,710,733,669,018,499,405,043,527,523,449,795,251,404,479,016,974,327,
286,767,328,908,804,856,811,011,604,109,277,340,403,215,310,335,799,527,193,
286,662,378,459,338,014,620,045,657,160,563,877,012,682,850,295,381,802,916,
582,000,013,115,699,427,748,100,930,354,347,939,224,477,794,461,432,829,042,
831,715,496,280,184,160,666,851,565,902,215,418,857,539,055,270,808,623,160,
063,495,951,056,840,092,503,466,248,356,528,093,026,976,908,094,424,023,412,
006,881,650,665,943,697,818,058,073,743,217,121,195,528,292,783,654,217,548,
172,424,593,751,890,427,005,641,450,373,923,894,217,787,225,916,823,472,162,
424,855,942,905,956,642,560,953,502,812,580,165,484,991,146,760,187,480,251,
087,088,549,921,060,206,170,185,417,156,306,644,124,498,513,380,481,359,269,
811,623,671,123,503,988,089,965,353,069,978,094,218,467,646,244,215,086,521,
611,027,212,641,689,050,811,365,206,050,165,026,722,164,043,024,641,146,644,
531,341,495,798,906,395,396,324,596,590,940,351,526,159,898,320,083,664,161,
064,489,573,753,439,618,392,632,882,656,803,522,612,548,697,689,269,318,637,
555,036,634,308,488,722,958,066,679,009,843,323,400,115,942,119,605,972,749,
788,223,329,697,516,305,237,230,613,782,283,602,270,877,725,410,661,127,274,
767,770,241,968,122,433,551,653,241,946,659,819,064,648,723,935,210,864,267,
947,839,744,378,946,253,951,662,866,803,737,559,055,339,239,919,105,227,712,
132,518,418,394,408,832,150,733,916,556,451,236,057,677,452,389,349,985,632,
281,266,978,111,328,388,444,948,766,990,509,553,712,746,566,392,083,282,578,
196,077,559,386,929,965,992,283,750,981,193,582,817,440,846,050,383,437,334,
904,207,560,641,715,510,496,736,802,244,527,920,392,236,900,293,033,461,928,
955,977,685,753,899,358,843,839,249,268,993,339,814,867,799,028,583,834,128,
350,397,261,131,180,392,080,660,545,597,972,511,441,930,422,795,944,643,714,
818,800,705,914,380,017,007,656,540,716,668,802,667,560,447,119,768,254,529,
952,408,682,918,876,025,193,849,048,904,948,726,749,719,336,095,212,376,799,
476,396,919,215,936,993,314,367,163,828,105,538,217,532,135,173,444,655,086,
125,206,864,843,614,663,151,802,095,310,174,388,476,533,577,226,997,892,909,
266,152,662,165,303,435,237,077,191,654,243,675,592,916,564,725,080,809,633,
771,282,285,146,832,523,877,534,001,192,630,041,006,639,455,638,333,762,051,
480,144,400,974,292,366,715,368,372,174,229,024,922,514,168,129,527,368,223,
129,870,703,158,508,267,211,127,929,972,355,069,158,434,853,562,454,064,866,
163,990,716,352,204,778,912,136,643,902,891,708,468,278,533,088,206,930,564,
696,214,305,476,507,570,347,431,231,598,880,479,866,883,184,898,968,861,313,
189,228,075,418,975,017,078,705,462,714,855,917,868,742,514,310,145,592,461,
366,679,177,847,662,189,712,260,140,885,063,755,251,703,072,600,044,909,912,
258,845,707,592,513,327,816,911,359,818,693,880,644,117,047,638,575,247,491,
150,710,028,204,473,244,437,904,710,008,988,141,863,828,940,861,419,264,599,
404,774,980,327,454,294,342,398,826,074,093,225,406,677,557,662,611,358,112,
045,368,608,115,448,023,547,118,076,874,448,312,230,961,005,188,237,425,012,
494,676,393,013,393,380,283,850,707,017,566,606,155,201,301,500,703,156,731,
884,973,831,563,732,703,536,713,274,436,999,570,467,998,753,273,848,040,883,
422,547,315,167,700,973,799,650,672,238,562,196,968,187,217,961,319,507,979,
399,532,975,136,762,983,285,537,231,651,070,780,399,689,419,675,270,335,044,
869,213,480,423,961,847,762,998,501,756,850,447,803,547,466,839,569,435,517,
963,797,428,351,838,800,205,892,304,011,348,211,843,110,326,557,035,072,235,
578,743,058,808,851,419,589,951,100,715,403,760,037,380,401,948,941,778,043,
066,621,103,201,307,161,277,677,281,249,472,528,482,471,564,895,817,938,916,
876,257,223,627,224,663,374,761,424,905,654,291,225,083,951,417,695,284,300,
586,180,138,259,825,738,118,233,372,455,893,806,780,714,360,804,223,411,478,
742,778,759,400,219,012,780,039,476,245,043,332,577,435,815,101,258,021,061,
081,920,168,258,199,435,829,320,170,528,079,278,278,435,944,997,548,703,433,
354,761,842,598,601,522,273,508,407,219,378,234,467,191,232,445,782,463,748,
605,118,187,513,008,541,677,597,410,199,242,476,045,235,020,705,686,329,660,
149,577,071,463,656,400,124,744,677,276,877,795,755,130,629,506,145,727,103,
675,134,154,901,790,145,758,581,318,626,971,157,727,318,682,163,284,638,560,
909,034,740,911,105,756,741,213,778,438,830,679,718,363,853,325,749,709,493,
193,955,209,831,424,892,550,094,893,376,495,357,412,649,576,423,863,168,502,
761,711,093,671,538,659,570,215,810,720,974,421,470,403,444,180,702,799,020,
657,964,368,002,361,210,989,586,135,569,335,490,421,744,596,860,720,128,745,
918,770,522,228,517,904,344,792,784,473,941,360,137,554,542,374,910,830,165,
787,980,948,183,887,868,711,150,076,119,444,693,399,918,860,242,208,973,419,
866,765,819,875,502,955,438,288,298,606,324,975,366,822,038,204,745,573,487,
863,536,000,604,966,038,905,463,778,368,256,275,696,267,540,919,202,307,996,
609,476,672,235,365,656,554,408,324,286,781,750,679,880,686,680,452,081,213,
906,400,771,972,107,956,170,848,776,440,700,011,643,361,527,846,891,743,679,
861,529,328,900,269,387,711,449,006,272,971,914,490,591,129,400,646,381,075,
538,025,327,907,557,104,791,310,479,253,412,524,647,444,498,695,003,045,960,
963,203,540,302,210,603,809,891,166,845,784,782,817,957,302,039,911,104,883,
259,511,812,153,523,121,969,668,022,509,493,825,791,228,788,537,185,508,822,
952,178,656,741,505,530,291,461,636,140,837,070,427,464,422,465,580,498,612,
104,018,029,728,008,675,498,083,392,164,007,831,641,050,410,560,979,606,516,
924,169,138,614,008,868,316,912,868,409,579,146,326,640,792,424,648,929,205,
526,630,767,320,419,895,357,748,984,801,662,172,789,322,319,198,944,320,393,
501,528,783,512,842,863,848,911,187,905,892,447,877,289,258,345,566,294,753,
271,947,180,363,429,147,702,816,583,367,647,621,426,711,524,578,283,649,376,
740,280,617,153,264,967,720,925,249,786,045,055,144,778,761,451,434,860,471,
933,184,008,710,871,358,897,200,556,548,173,305,753,285,494,736,963,584,532,
032,434,991,109,177,026,032,139,326,620,306,975,552,622,725,898,457,240,846,
990,963,848,286,516,838,834,198,350,013,787,722,925,333,210,270,644,196,766,
502,816,370,684,789,575,654,551,449,817,662,954,178,283,920,291,211,339,084,
155,564,686,271,052,312,406,707,652,839,021,277,259,320,517,872,479,543,793,
291,368,383,922,231,938,266,766,964,674,783,420,859,880,886,177,890,836,706,
910,966,064,352,479,932,008,934,521,358,351,539,496,667,098,475,263,030,810,
374,104,232,861,011,893,013,892,741,002,234,663,612,534,786,838,861,576,233,
700,557,592,557,030,994,956,752,240,306,373,580,010,379,978,216,234,882,456,
108,404,378,106,067,234,636,900,238,626,354,289,333,727,485,611,543,472,073,
137,980,560,152,485,456,389,869,378,768,939,977,214,973,257,817,513,658,677,
583,594,567,796,416,006,487,686,192,153,044,302,013,237,326,400,023,085,528,
366,529,992,879,060,823,490,467,293,141,969,005,698,166,116,674,252,836,802,
215,717,314,456,189,460,269,562,968,734,611,927,139,158,695,327,994,826,834,
707,305,851,382,750,606,340,507,652,310,552,630,864,524,155,066,794,760,614,
951,114,866,837,919,391,510,678,063,244,130,229,506,103,381,456,201,616,294,
899,999,414,082,254,060,661,749,615,450,572,997,005,067,723,699,739,426,121,
792,226,892,556,675,812,677,685,208,753,743,752,649,703,602,864,742,677,763,
812,607,417,434,858,731,274,164,656,865,163,046,202,428,265,138,275,641,417,
945,278,238,967,949,868,572,543,260,879,526,892,603,174,363,061,291,793,505,
974,450,583,325,704,103,100,518,586,471,421,244,311,147,851,963,977,816,233,
078,465,073,943,350,778,567,044,290,493,317,477,957,551,656,113,404,496,207,
987,802,723,329,805,035,873,876,762,826,106,998,563,316,402,929,079,861,464,
538,459,482,733,811,779,436,632,921,669,193,433,614,292,411,917,409,318,238,
372,533,750,826,965,473,734,752,697,498,201,632,571,771,655,486,295,610,535,
282,967,754,791,812,353,754,669,508,635,567,141,285,020,993,852,994,114,214,
120,772,974,098,083,319,277,610,530,318,091,943,082,251,958,601,816,100,659,
150,379,279,589,869,349,373,268,586,404,739,836,382,806,209,085,728,602,590,
511,098,091,576,674,466,307,927,290,162,185,670,110,963,747,820,341,776,196,
832,697,058,578,020,323,592,156,663,614,241,891,515,768,835,916,228,559,261,
436,174,535,053,260,454,747,975,781,724,401,478,130,947,419,785,006,637,703,
572,104,762,978,708,242,203,938,943,455,951,821,090,663,017,985,322,869,600,
688,422,673,807,593,941,541,110,776,848,548,102,900,767,667,630,910,007,335,
567,814,341,440,623,715,293,418,878,664,694,042,447,258,617,398,103,209,160,
183,080,801,144,079,739,621,191,806,720,911,648,496,386,775,966,344,734,609,
277,794,713,610,874,788,707,406,912,488,980,901,909,908,802,994,873,928,956,
708,892,118,275,702,365,085,615,738,315,299,299,194,607,912,462,800,595,702,
977,777,640,589,021,525,607,427,668,966,678,776,888,645,217,943,751,970,683,
743,524,356,478,210,427,127,069,949,069,359,161,559,465,300,714,221,788,505,
900,711,998,523,235,628,736,658,059,236,177,307,584,518,604,518,704,727,726,
964,874,328,013,264,233,064,754,522,252,536,137,488,591,816,814,113,394,870,
662,995,711,794,090,283,316,145,419,652,155,600,214,555,495,157,822,212,138,
334,434,305,707,692,156,205,625,048,436,625,351,374,918,607,207,799,616,949,
252,309,253,139,938,340,165,569,362,107,048,229,852,549,784,533,542,813,894,
305,662,740,075,817,114,117,725,927,225,407,822,140,299,661,613,214,467,137,
338,328,301,385,674,672,932,851,096,577,705,116,317,726,366,521,693,859,639,
349,738,077,157,676,901,862,623,845,459,487,254,570,478,698,489,620,606,104,
433,739,549,459,271,296,515,934,181,064,186,917,876,887,936,801,258,948,792,
372,562,104,211,389,154,440,918,017,393,737,856,649,289,574,005,607,424,903,
904,394,820,095,764,817,254,364,262,295,316,383,839,732,091,362,704,963,642,
093,831,682,324,752,148,951,673,135,102,804,670,793,030,291,162,601,564,105,
005,336,634,048,369,787,413,316,628,700,790,232,774,423,254,591,878,219,592,
316,886,900,916,272,920,946,897,632,797,725,300,054,513,494,189,264,152,585,
313,649,241,656,829,716,209,133,844,997,184,827,507,113,112,160,493,923,359,
384,104,709,921,880,438,215,067,280,588,249,180,617,985,362,995,063,552,046,
979,668,477,868,813,611,019,919,437,200,378,410,369,978,262,247,166,487,776,
326,325,601,240,634,676,900,571,754,470,536,250,101,964,832,555,512,271,457,
528,656,245,829,830,849,346,490,184,545,480,730,710,638,308,227,535,301,686,
108,505,833,864,013,186,995,532,178,760,670,775,344,228,205,507,363,758,543,
227,954,258,356,811,974,122,455,544,923,140,108,616,554,879,462,488,536,238,
474,006,526,794,855,549,165,789,551,029,767,832,535,385,774,796,488,586,421,
235,229,146,440,982,287,989,706,566,627,477,977,603,173,605,336,056,576,413,
226,232,273,945,871,475,485,899,755,878,104,119,624,040,871,874,302,248,429,
802,603,419,646,756,739,989,869,757,054,525,242,926,109,491,803,180,444,228,
515,095,177,348,038,215,517,715,909,162,591,666,993,272,726,713,243,037,611,
076,920,738,559,787,617,837,156,166,737,487,976,748,567,232,303,785,000,845,
537,701,625,100,959,277,514,065,748,965,310,634,179,502,676,464,058,610,215,
778,258,898,623,971,567,254,049,938,096,999,656,498,414,894,780,031,822,627,
166,628,587,532,652,403,000,469,179,225,426,606,066,028,396,824,229,629,710,
175,034,987,027,730,097,038,115,004,739,007,563,208,303,511,576,031,625,296,
312,974,296,050,887,587,689,346,263,769,360,455,094,473,895,162,233,146,757,
252,283,661,084,267,219,195,959,135,237,953,821,729,431,819,618,096,088,989,
860,065,418,829,851,222,939,011,545,456,087,576,491,125,568,363,158,761,679,
852,541,996,374,819,153,813,270,373,531,024,534,478,168,474,634,204,524,472,
703,654,140,323,299,593,708,245,787,110,514,268,723,721,294,134,533,009,825,
436,589,066,895,135,426,922,286,894,941,785,103,795,404,670,184,229,202,491,
770,363,960,559,457,820,131,972,132,380,193,649,300,264,803,857,244,066,253,
556,256,916,713,991,965,839,307,581,739,243,314,705,035,532,562,276,651,885,
722,438,382,052,784,036,739,126,846,812,896,545,852,095,268,738,948,128,321,
198,709,285,579,627,310,416,482,969,326,007,181,162,051,798,116,445,079,794,
893,816,037,408,301,691,735,800,910,367,669,627,537,225,457,838,822,660,446,
176,635,544,011,616,939,758,158,064,295,937,276,995,162,415,729,232,694,684,
511,702,844,101,795,123,136,131,612,453,177,059,265,124,591,719,782,692,240,
938,715,715,235,849,243,449,011,577,459,295,333,931,807,891,617,503,440,734,
612,629,119,254,207,468,873,716,337,210,919,306,968,583,840,628,645,129,803,
532,963,774,356,230,708,019,391,210,196,798,548,719,556,554,599,042,554,574,
990,949,331,559,482,139,928,501,314,024,371,611,589,704,395,795,141,109,317,
878,208,683,921,386,229,313,084,438,575,274,295,757,742,512,137,827,924,191,
529,268,397,434,693,113,668,435,677,100,755,182,443,325,766,421,606,764,843,
051,195,432,727,438,725,293,376,076,673,982,487,324,483,608,223,585,715,496,
104,140,776,028,352,545,592,603,385,407,792,846,856,873,812,148,510,395,264,
608,562,071,454,706,630,890,440,882,085,394,769,945,563,994,461,542,847,275,
540,615,582,404,262,527,875,014,767,698,078,453,700,909,642,385,105,635,284,
657,790,047,429,489,206,315,068,008,148,681,975,779,030,804,636,259,009,460,
662,259,214,472,033,413,413,426,050,955,744,370,221,233,995,856,687,145,712,
835,757,365,882,839,897,214,470,181,587,484,211,930,556,852,262,425,691,656,
175,237,144,476,880,225,500,217,156,497,899,684,713,508,877,291,527,671,146,
012,493,402,417,403,597,809,385,469,631,268,386,544,937,093,438,321,659,366,
580,287,105,790,758,509,072,133,325,085,664,106,201,591,711,865,787,493,678,
676,464,708,484,691,258,283,200,788,920,121,372,842,385,113,118,115,298,599,
226,827,786,057,906,979,032,129,729,680,793,516,982,926,208,128,784,781,061,
881,192,913,113,144,868,035,492,524,924,976,964,728,321,898,638,465,362,755,
609,249,970,186,956,311,528,709,648,369,867,681,086,422,723,300,398,695,094,
432,561,963,632,440,505,498,339,179,588,357,446,039,032,578,301,975,679,849,
956,776,466,714,694,508,846,176,418,685,400,472,859,143,355,490,372,462,214,
005,197,916,102,171,843,037,962,403,857,434,891,377,467,376,333,687,756,291,
256,277,875,857,584,628,287,316,971,490,939,035,394,199,702,791,157,306,086,
900,611,769,950,082,875,279,511,632,768,279,000,791,500,122,721,249,162,197,
445,176,464,691,285,688,627,594,816,304,608,857,309,715,740,827,573,438,312,
997,867,385,646,130,684,629,526,958,726,627,909,237,251,974,220,152,884,630,
198,997,469,461,352,847,507,691,616,214,098,924,190,773,323,472,328,906,167,
427,053,055,359,405,042,187,246,529,424,408,344,541,468,368,326,250,704,746,
289,306,297,503,064,151,846,672,256,750,861,449,397,881,202,667,192,190,862,
151,966,053,655,879,413,694,712,273,661,588,929,954,541,502,845,479,657,256,
140,491,180,105,626,020,841,787,930,931,939,217,501,833,350,890,063,246,170,
659,522,271,100,249,784,431,701,789,383,645,676,001,170,230,146,939,345,670,
543,500,431,097,931,758,501,025,079,854,751,715,684,722,997,504,611,428,939,
766,756,133,025,405,491,465,245,283,585,986,548,760,813,784,833,367,930,801,
966,562,961,553,568,808,879,269,701,584,973,621,285,830,959,134,352,700,156,
787,850,295,892,679,719,910,417,215,933,973,233,070,504,645,227,446,275,706,
334,826,318,570,741,503,754,345,369,481,238,376,028,803,473,793,246,691,349,
105,722,194,834,241,268,387,377,566,525,200,739,001,047,274,919,046,362,295,
267,107,690,588,457,597,811,803,786,764,417,460,206,917,234,424,831,741,731,
766,411,496,292,301,994,011,440,654,518,187,777,650,175,056,155,178,961,628,
633,180,035,510,153,878,512,836,337,733,049,101,859,655,560,561,553,050,418,
012,197,966,272,569,228,915,791,873,930,755,355,578,021,097,496,877,409,826,
862,606,417,957,556,917,032,764,984,355,554,323,788,777,072,058,584,582,915,
509,476,060,557,816,305,968,323,220,959,420,449,099,749,829,115,786,490,011,
972,675,970,084,176,392,094,962,335,338,165,350,686,253,991,170,694,578,447,
210,985,018,600,479,450,903,453,872,130,128,011,288,797,013,549,215,200,377,
521,333,731,672,697,998,435,234,075,074,873,711,724,495,051,744,616,694,097,
079,492,661,061,102,436,418,190,646,164,692,973,066,125,796,609,266,852,158,
625,515,162,428,236,876,331,273,384,129,228,683,421,726,722,713,577,192,834,
769,781,024,283,475,594,607,495,013,810,565,796,201,880,508,572,014,110,318,
782,384,797,273,640,382,535,123,178,613,754,056,616,658,259,292,777,551,313,
247,069,546,548,990,092,832,285,265,156,571,629,795,592,566,407,760,919,270,
875,925,434,220,385,943,356,761,404,468,359,828,261,247,036,099,538,103,903,
556,989,391,263,613,443,817,706,244,158,895,567,232,909,521,455,192,437,486,
304,484,823,820,261,661,540,961,950,375,769,026,019,446,509,446,813,912,837,
394,530,774,206,455,615,406,515,011,437,783,322,581,524,012,363,618,126,704,
620,931,035,881,316,731,833,184,300,046,758,625,119,452,029,925,610,796,418,
899,473,732,016,889,942,085,429,949,641,631,010,288,276,929,709,355,697,548,
391,910,838,376,604,026,430,627,981,689,673,549,611,753,881,169,343,217,979,
349,361,634,475,005,783,024,905,408,894,268,091,111,013,257,723,519,840,757,
675,455,685,170,411,862,048,959,893,595,939,570,701,282,966,505,795,306,887,
291,748,896,242,896,717,923,984,811,280,400,180,131,425,885,783,895,322,226,
824,231,003,427,976,519,664,312,300,198,480,315,576,413,115,706,771,684,568,
199,253,031,939,750,954,172,784,588,764,753,829,159,854,908,146,575,842,475,
314,375,107,478,619,683,713,381,134,236,306,437,424,429,563,464,251,369,470,
754,028,942,786,497,443,718,234,363,623,320,275,209,456,484,629,851,990,227,
032,758,217,494,493,685,080,622,479,136,650,036,299,996,869,247,132,170,890,
504,971,723,292,463,165,657,953,311,948,230,268,431,455,103,554,115,108,248,
487,535,210,741,080,246,253,573,755,168,296,731,891,060,834,170,771,225,529,
028,360,153,734,082,472,681,772,288,191,403,374,744,305,933,518,336,396,247,
715,002,189,634,498,222,116,297,786,838,116,029,807,966,525,810,490,573,065,
420,599,709,335,300,463,581,400,019,985,327,132,676,918,442,748,277,887,242,
199,217,677,968,656,307,632,634,980,514,848,328,268,695,837,779,497,579,420,
283,764,601,351,239,386,288,472,899,091,576,269,874,650,479,352,339,915,369,
001,506,755,545,043,489,181,287,600,604,654,100,449,949,483,660,416,896,429,
067,336,091,742,696,428,610,987,333,121,426,529,823,119,162,988,920,686,204,
949,494,445,697,089,457,442,150,834,841,792,232,438,796,962,231,289,356,960,
486,236,826,042,305,372,220,963,463,150,552,962,472,214,465,109,100,539,865,
920,808,166,083,948,984,877,270,727,984,244,125,075,558,049,527,038,468,668,
761,229,834,297,953,413,820,828,732,032,135,560,532,467,904,848,752,600,840,
548,302,008,775,365,582,942,867,236,926,982,141,811,361,466,334,341,788,977,
653,074,136,499,837,312,308,786,261,573,532,605,179,411,205,528,365,601,299,
445,861,560,487,121,170,423,841,893,180,110,856,396,893,753,117,670,425,867,
151,598,622,040,790,942,982,751,881,344,886,659,127,454,117,478,452,744,777,
063,102,130,660,236,992,592,257,624,036,014,965,698,528,531,352,961,494,348,
867,984,521,672,039,430,152,258,317,223,932,742,632,712,253,041,952,210,430,
325,611,245,531,083,117,084,927,382,643,502,247,575,015,822,951,913,087,602,
336,360,925,073,357,651,128,437,320,512,021,266,322,189,848,776,268,019,010,
550,164,557,963,344,516,023,861,116,408,797,761,203,372,123,403,227,116,152,
419,097,652,169,580,949,302,102,473,159,538,270,494,991,095,804,277,727,607,
786,560,056,289,470,414,302,322,952,190,320,703,308,717,876,173,140,052,828,
954,935,935,236,063,377,475,678,362,903,394,298,986,498,713,708,488,335,870,
509,500,227,937,281,313,799,748,208,498,601,092,396,956,843,582,144,208,276,
831,239,671,272,775,319,970,831,098,979,190,007,423,992,588,423,986,809,654,
950,304,889,177,116,163,703,040,513,182,816,380,892,559,135,758,895,743,842,
652,160,751,323,922,745,771,732,650,029,394,620,693,581,735,617,049,183,871,
344,220,944,138,116,531,703,739,823,673,307,248,277,583,816,565,087,538,533,
860,920,071,677,881,937,586,727,577,021,695,321,134,876,312,752,138,652,787,
928,589,704,923,482,093,287,292,508,621,603,321,424,147,606,108,664,087,911,
534,494,247,154,079,141,513,429,619,943,639,860,939,516,017,049,811,017,317,
272,523,622,067,066,620,019,482,576,546,367,037,340,335,448,813,426,402,085,
143,912,677,388,757,798,427,767,327,169,179,129,497,854,888,685,357,272,185,
679,491,125,404,833,536,435,973,455,628,244,859,372,639,142,844,591,827,642,
241,078,757,037,050,039,066,852,744,130,236,115,349,721,990,878,044,326,681,
557,274,648,310,544,129,190,320,105,247,724,221,902,798,307,939,109,060,551,
158,577,760,091,069,839,759,556,429,913,356,264,494,588,175,473,609,442,099,
314,883,031,917,044,373,470,054,863,268,764,951,743,146,568,099,077,026,438,
140,103,107,407,035,747,715,585,842,609,011,114,492,595,660,617,062,351,147,
848,331,712,853,991,733,640,008,178,844,729,323,672,190,708,685,067,196,008,
971,676,194,117,881,085,141,521,058,424,283,270,140,621,192,338,740,872,118,
589,725,933,028,322,755,618,943,679,102,108,629,878,461,888,191,580,455,825,
818,101,377,664,488,871,802,457,698,931,434,440,292,229,031,228,192,052,373,
946,316,687,519,964,854,374,888,163,088,634,302,497,826,472,968,948,605,134,
707,816,233,750,355,488,139,913,460,235,275,631,071,219,036,778,503,368,006,
806,278,475,455,042,741,867,547,033,073,963,028,567,296,921,006,807,707,029,
955,336,088,066,643,848,590,170,864,697,953,875,416,186,178,540,544,477,786,
801,951,946,635,075,070,164,434,204,967,392,132,321,761,465,002,052,344,630,
869,495,097,195,840,824,615,997,578,585,252,094,350,173,678,922,740,199,834,
601,449,231,068,970,550,329,738,722,698,168,082,494,710,005,956,139,243,114,
247,792,644,862,432,689,986,190,841,811,788,198,104,527,970,210,391,122,611,
996,850,363,427,633,298,488,129,715,958,020,744,988,828,320,843,375,274,398,
716,414,008,222,601,420,343,076,715,135,181,333,447,834,364,964,869,848,143,
845,399,012,019,430,422,061,452,972,530,240,846,313,059,124,045,025,486,185,
476,480,795,293,673,288,903,166,514,665,727,803,366,055,882,492,522,446,062,
698,802,955,440,144,121,834,051,429,186,451,213,159,632,092,488,889,742,423,
770,538,312,034,966,466,364,586,272,112,668,021,824,366,353,474,221,367,083,
075,261,124,177,212,975,945,182,562,525,099,643,524,797,348,137,308,018,641,
670,923,668,104,576,365,261,048,174,167,730,603,121,673,006,830,920,422,873,
723,634,304,683,993,939,656,973,603,677,525,120,632,440,196,146,864,245,908,
967,030,395,936,691,378,984,881,025,090,165,926,238,003,187,751,250,922,024,
417,294,154,447,908,272,447,609,174,403,082,215,714,745,450,697,158,993,361,
226,871,413,636,872,303,609,351,203,658,907,920,012,828,918,204,595,107,820,
067,767,588,473,865,994,114,902,926,156,213,141,286,937,350,495,573,418,470,
655,996,438,388,864,673,409,302,856,662,407,653,405,598,199,550,726,190,103,
898,110,241,201,097,140,465,123,478,895,966,946,507,712,833,072,079,376,049,
736,145,225,277,583,585,432,938,329,694,115,912,333,256,606,107,768,207,615,
935,276,845,261,826,457,485,905,057,518,247,556,441,054,624,774,656,657,522,
296,387,924,489,285,459,545,615,932,332,253,700,893,855,329,128,742,811,106,
333,825,186,991,326,903,959,851,082,365,244,791,734,743,076,423,331,028,391,
888,021,634,990,847,635,965,269,458,802,913,773,784,847,722,454,186,133,002,
151,764,776,347,854,763,157,208,810,400,704,617,151,377,020,742,112,430,835,
485,725,485,620,612,022,500,120,533,194,009,088,098,766,560,274,403,997,617,
377,644,296,200,232,888,571,248,841,907,599,659,493,915,869,931,860,625,665,
108,672,090,336,069,182,226,512,869,636,683,585,767,628,693,295,679,450,106,
289,933,098,596,112,790,763,984,885,883,626,206,569,759,330,360,846,145,596,
811,770,780,779,869,635,606,232,112,307,715,015,111,568,441,450,385,056,378,
598,523,783,151,013,923,330,566,505,808,228,720,484,500,185,477,579,700,476,
069,830,005,451,618,601,466,454,072,545,559,133,413,139,951,057,722,248,668,
754,415,699,694,934,019,092,411,837,190,902,352,305,272,143,314,250,072,568,
082,700,119,590,302,313,271,506,452,419,867,238,456,541,864,315,749,749,328,
231,623,846,660,884,235,543,622,185,481,778,544,753,318,022,126,288,099,357,
076,617,085,960,736,246,445,746,539,070,170,976,639,054,152,671,261,542,542,
867,445,965,802,713,565,746,330,231,602,428,496,382,712,748,057,981,848,540,
739,322,930,262,692,942,424,276,423,232,139,705,549,360,342,622,598,611,100,
829,297,856,509,073,408,694,842,586,349,552,707,992,402,504,053,273,661,354,
311,000,357,833,950,338,816,848,427,500,208,275,387,565,085,108,030,736,006,
296,334,058,857,619,501,926,363,987,511,805,315,376,421,884,669,152,583,503,
323,360,347,882,078,572,384,817,158,915,070,022,811,747,057,449,612,905,371,
078,360,179,512,826,882,254,457,157,965,553,384,365,481,790,269,516,939,213,
299,890,265,475,130,752,806,261,559,285,297,732,642,271,796,002,487,663,256,
951,788,152,080,109,859,018,022,984,189,029,022,598,944,098,732,534,397,138,
969,414,263,147,059,116,220,889,856,246,548,705,976,517,365,286,419,126,093,
553,827,023,583,459,483,756,967,496,181,758,057,336,760,534,143,595,176,632,
850,492,126,129,452,150,015,664,844,625,582,630,702,868,914,970,398,489,586,
620,091,707,900,313,603,104,992,533,750,822,867,277,936,090,108,704,913,707,
288,412,624,865,378,377,217,238,200,155,158,934,042,407,013,691,874,710,478,
220,517,653,078,101,286,411,482,130,824,299,727,525,285,223,579,141,136,240,
518,946,569,253,856,496,751,061,176,550,504,826,605,518,571,900,519,386,547,
895,385,439,408,965,088,571,515,037,492,030,527,812,712,377,035,088,897,075,
332,687,423,516,304,080,987,509,935,825,780,820,603,307,662,998,963,708,485,
656,994,324,101,844,417,543,097,624,836,391,671,180,238,859,659,920,778,011,
463,075,151,730,564,490,064,768,023,067,481,713,040,722,538,793,315,813,727,
916,008,232,895,831,616,666,356,896,207,526,662,615,041,347,034,081,786,509,
718,124,584,301,054,966,484,682,184,601,858,698,318,980,352,275,258,123,623,
947,156,105,229,454,167,952,988,360,195,892,615,935,883,386,313,732,857,165,
028,414,359,143,263,544,522,720,561,593,951,916,458,938,556,091,250,278,972,
846,242,144,914,901,624,934,872,755,970,446,648,442,843,073,766,328,739,751,
365,426,390,920,836,207,301,482,614,473,800,866,678,085,405,428,174,941,339,
750,061,684,430,917,325,631,808,100,124,158,142,748,367,644,074,332,458,277,
174,299,644,031,736,169,720,949,095,513,072,731,559,334,900,636,038,698,576,
302,572,920,324,697,589,800,153,035,437,600,083,705,549,299,835,524,103,616,
515,787,794,170,773,009,625,584,001,615,409,539,361,215,820,466,046,774,240,
661,581,255,622,385,764,315,099,064,170,026,497,003,490,582,416,448,937,720,
383,337,642,107,781,770,675,706,380,690,802,034,350,060,860,761,870,208,305,
460,157,566,856,089,526,383,549,247,796,552,057,600,533,687,745,589,682,979,
016,559,532,154,477,609,332,879,603,798,778,940,967,652,470,935,919,507,312,
965,110,465,100,947,726,622,954,031,666,318,592,554,995,855,884,995,498,792,
795,418,879,989,677,165,334,907,338,627,361,437,807,650,083,464,702,120,429,
257,922,902,537,569,022,791,484,738,209,263,136,939,542,995,673,739,265,430,
812,816,870,723,680,835,131,378,483,209,653,040,679,664,840,719,531,377,381,
142,891,900,705,798,013,960,659,451,566,735,662,670,354,225,089,852,063,375,
165,659,425,128,726,161,206,918,431,593,607,022,538,312,951,597,237,835,199,
435,773,257,081,811,014,331,358,582,281,749,637,148,102,175,125,936,958,323,
920,537,152,114,205,092,573,391,122,103,672,366,110,641,484,784,338,638,695,
022,221,450,264,488,876,382,566,096,422,300,949,133,655,403,561,179,943,726,
484,226,596,732,495,516,364,059,316,574,939,871,675,598,537,829,123,867,801,
030,704,023,509,574,830,362,390,696,641,525,307,274,341,085,507,802,829,715,
181,644,673,784,333,272,154,117,135,156,316,778,519,696,997,426,715,487,506,
859,887,550,906,643,508,479,302,852,794,412,643,089,232,968,322,894,811,662,
243,970,782,144,676,167,987,499,891,023,771,204,573,350,809,446,048,250,901,
844,155,830,624,513,703,712,908,744,198,056,934,765,842,983,875,047,579,924,
108,883,727,080,042,348,915,390,853,804,405,910,865,582,701,756,818,363,001,
547,796,558,171,219,441,334,401,401,410,713,495,387,284,161,998,954,837,526,
517,543,385,881,688,898,721,823,570,198,613,172,447,734,919,778,820,553,187,
535,608,549,969,601,959,330,952,570,112,432,733,400,170,464,782,090,137,306,
550,116,716,100,600,807,550,174,651,925,280,184,731,846,439,325,451,672,984,
425,327,109,820,575,250,134,771,799,695,411,012,337,374,354,979,094,567,320,
154,363,904,464,793,676,709,663,994,984,999,850,617,477,695,706,927,602,302,
355,546,517,778,646,769,760,570,961,176,946,322,723,333,996,346,481,266,791,
717,691,587,982,223,573,599,923,202,780,194,011,085,488,330,894,428,623,106,
884,827,160,982,015,587,383,312,765,973,546,383,113,703,743,610,899,332,144,
080,047,522,718,790,217,812,991,315,766,616,731,397,612,428,040,454,736,016,
504,586,703,815,132,298,762,627,651,947,314,186,619,670,113,817,208,626,273,
055,830,688,283,430,741,179,025,306,982,361,037,803,974,822,440,622,482,722,
950,395,019,913,464,224,396,505,385,356,525,073,949,364,146,608,649,413,704,
094,820,138,123,901,083,986,369,687,008,091,177,844,598,097,531,509,330,871,
440,232,583,577,696,463,471,220,889,809,294,376,352,782,374,086,243,890,302,
693,284,722,844,598,595,865,211,607,663,640,975,370,026,249,068,067,913,928,
859,254,636,450,039,229,236,539,402,117,041,021,556,069,672,170,708,324,144,
735,204,849,365,969,595,311,008,435,811,508,414,005,161,494,953,341,083,756,
740,089,306,269,934,094,600,015,283,030,369,531,020,687,489,013,578,371,531,
552,630,426,451,525,780,074,788,974,274,382,548,315,565,079,032,093,402,807,
803,069,818,098,658,315,630,859,364,749,308,726,205,688,576,558,328,372,830,
996,477,400,498,264,611,090,789,434,604,290,548,965,328,867,609,576,036,877,
279,982,571,285,528,998,022,295,149,896,338,065,043,913,975,541,142,424,170,
406,051,879,699,356,643,364,332,498,886,963,016,777,912,928,406,419,013,589,
884,717,821,103,534,132,033,340,118,282,707,088,858,771,604,101,269,824,256,
367,183,460,581,067,771,920,914,358,128,924,016,730,724,294,246,901,060,313,
713,157,910,722,773,506,449,951,903,126,435,206,947,859,870,312,844,981,230,
300,421,184,285,094,452,669,843,137,528,603,150,956,034,180,384,030,499,481,
793,072,527,303,732,384,753,655,725,660,668,625,293,876,882,665,607,671,949,
084,205,834,569,194,322,534,427,744,440,441,176,778,941,701,050,582,954,585,
842,864,235,461,248,830,471,394,184,869,302,191,796,437,921,305,133,785,916,
689,695,064,820,936,823,164,513,004,247,972,041,699,780,855,303,421,456,086,
297,655,351,356,247,907,101,506,827,672,916,968,633,573,918,435,267,524,289,
976,095,307,092,509,283,172,270,292,286,663,784,169,847,276,172,252,166,336,
116,673,519,567,322,228,290,619,548,783,752,032,434,098,312,245,285,636,380,
413,191,547,105,273,877,081,460,082,002,081,562,236,248,945,569,594,696,170,
742,614,855,010,449,923,619,732,932,956,248,257,267,550,282,078,530,792,054,
743,976,028,854,665,930,182,647,293,757,766,049,341,252,959,679,207,221,293,
763,856,702,624,560,727,595,257,691,915,889,436,157,526,079,829,726,152,691,
392,414,681,139,124,933,752,432,902,411,306,855,334,153,265,439,898,130,319,
565,833,322,193,565,316,003,911,595,425,777,058,043,223,675,487,227,122,673,
508,295,419,488,997,219,764,050,502,101,243,724,074,468,899,198,832,721,865,
935,996,145,951,404,729,887,366,336,630,797,015,126,488,159,746,900,853,649,
511,490,045,314,527,998,598,197,113,462,355,985,988,253,448,929,047,365,974,
827,114,979,255,345,303,162,740,281,736,260,660,187,137,224,016,953,315,443,
914,823,839,220,881,397,308,998,399,419,178,560,207,931,267,109,449,633,274,
795,431,869,714,451,657,590,731,744,653,357,924,148,690,893,081,917,073,662,
421,378,817,273,365,833,388,573,468,290,594,658,938,795,242,200,995,964,179,
416,507,806,913,756,646,974,135,531,085,972,943,793,241,021,599,152,384,538,
016,029,153,773,544,521,789,025,273,224,659,933,648,534,638,556,384,315,127,
655,226,870,352,439,045,082,477,079,708,214,007,763,477,305,517,903,562,934,
298,857,311,102,393,162,644,571,151,256,150,259,517,440,676,936,026,834,928,
773,993,281,434,394,672,159,307,396,347,527,468,051,869,008,958,395,346,539,
092,415,210,937,199,263,524,266,259,719,045,406,573,081,871,276,219,759,933,
492,889,497,444,084,106,442,959,189,617,905,219,256,345,728,678,343,665,268,
778,097,295,839,039,596,967,284,115,664,776,105,585,486,301,912,061,147,032,
008,412,491,921,047,264,917,347,165,748,292,963,492,101,945,099,437,083,634,
791,428,607,070,441,021,546,383,086,988,150,221,831,100,580,146,262,268,894,
279,967,254,306,347,020,581,175,106,686,565,624,661,512,440,320,515,877,631,
414,599,276,843,220,146,641,666,040,496,923,684,996,184,446,218,949,109,340,
532,469,196,954,076,125,775,108,328,300,716,224,709,355,090,963,935,333,168,
701,724,133,481,670,595,775,331,316,741,333,416,980,863,233,212,017,082,240,
318,900,164,737,449,224,398,817,956,409,345,827,933,030,597,008,430,807,069,
624,994,303,195,801,131,965,300,667,022,998,506,954,976,498,256,710,153,175,
316,521,092,886,989,433,856,679,103,887,469,413,241,293,130,570,920,902,432,
219,077,772,122,518,674,978,824,506,038,936,221,063,828,329,643,272,162,821,
542,266,992,457,937,704,597,312,859,589,132,563,415,422,829,956,678,610,936,
583,246,804,061,660,053,441,562,144,834,110,804,889,768,426,839,291,706,770,
272,325,088,611,087,477,020,225,361,977,732,298,906,003,419,213,446,404,206,
875,963,882,666,821,731,885,789,570,112,766,073,198,394,212,362,472,718,964,
186,160,957,534,733,724,927,387,047,038,689,682,025,827,703,826,568,729,254,
068,385,842,892,040,205,196,008,696,840,076,303,407,261,229,982,406,044,819,
975,092,244,559,331,086,978,556,598,062,365,081,972,264,388,661,031,635,316,
122,326,617,149,475,475,538,357,578,020,128,119,284,860,435,407,902,104,426,
468,311,250,406,876,831,963,022,058,650,007,800,704,312,636,143,804,038,696,
046,765,271,097,191,131,932,100,893,492,413,446,581,877,918,938,420,564,527,
663,480,626,199,033,263,952,014,827,407,954,299,896,276,622,863,931,253,000,
084,740,582,553,062,627,953,885,945,797,009,552,665,788,546,173,692,903,009,
957,890,676,026,961,755,145,264,415,165,697,818,288,219,873,061,168,264,328,
809,859,555,067,101,153,344,389,432,274,625,029,229,927,007,282,942,746,967,
055,513,543,441,969,029,666,583,213,428,112,885,097,145,359,419,106,453,355,
400,223,368,056,883,329,378,101,690,097,060,096,522,781,288,049,415,700,221,
679,737,234,866,752,882,179,670,361,372,256,775,738,399,187,414,798,500,738,
186,881,688,599,963,681,321,000,272,197,065,269,854,259,909,047,140,057,936,
143,263,354,821,694,430,612,456,296,553,348,720,010,975,856,449,744,305,725,
865,632,724,255,669,155,438,830,812,123,042,841,425,958,540,557,852,523,152,
891,109,311,650,405,101,581,312,412,975,816,039,655,993,758,038,403,778,959,
470,624,518,847,793,287,055,509,372,847,317,233,693,961,285,862,424,976,867,
480,011,454,763,460,779,136,616,241,132,148,256,365,745,666,742,353,389,646,
162,153,906,721,449,898,511,906,633,579,796,695,610,753,892,692,512,075,815,
371,897,859,535,325,130,485,935,414,543,486,061,516,398,702,899,022,748,058,
793,715,590,688,698,675,484,683,859,738,998,988,616,292,806,540,348,984,439,
512,255,562,252,404,221,243,054,687,361,676,402,450,263,590,767,685,268,372,
230,348,190,957,344,626,228,937,183,962,075,875,447,766,077,522,380,855,715,
454,787,864,474,077,204,977,493,430,631,856,226,503,551,713,971,574,231,681,
617,946,605,460,223,035,659,245,230,476,306,163,706,171,989,769,106,525,436,
604,808,456,097,621,743,871,185,573,888,802,279,026,963,613,306,121,351,579,
371,864,893,288,355,420,792,764,784,973,099,609,409,324,399,785,823,101,487,
242,161,540,178,992,402,691,563,393,756,412,222,752,160,294,119,261,311,477,
157,443,602,974,071,182,005,147,251,430,647,680,715,853,404,801,150,995,585,
597,295,411,139,701,750,711,668,043,671,593,465,506,350,571,782,681,911,415,
893,548,164,382,004,520,608,914,190,950,486,762,197,779,921,613,247,916,340,
960,897,705,094,465,506,126,273,524,006,345,172,525,145,098,648,056,641,790,
934,366,793,085,571,665,654,389,574,623,004,726,068,826,693,695,489,093,277,
768,854,044,169,178,462,428,537,219,237,683,427,854,763,222,486,231,465,030,
809,618,633,602,325,829,835,979,214,658,027,824,386,846,997,381,146,435,513,
809,837,361,434,467,384,166,238,885,978,538,194,537,002,606,111,657,763,621,
270,063,923,581,301,349,596,717,677,554,811,940,954,906,114,383,999,140,187,
912,302,619,370,171,425,938,494,374,885,350,146,063,134,988,859,552,357,125,
414,081,077,360,340,604,245,523,960,913,630,047,829,297,580,330,663,299,834,
231,580,337,307,724,584,779,552,250,132,995,576,689,205,740,090,644,283,409,
365,960,399,106,545,617,675,259,190,854,263,818,081,399,051,902,809,838,954,
842,866,557,768,760,844,844,565,481,047,452,473,718,198,757,654,985,428,283,
598,278,359,670,431,790,597,431,287,465,828,871,393,182,280,934,085,889,323,
575,077,294,626,738,418,551,166,020,123,797,835,135,552,241,236,945,367,925,
161,577,182,064,488,952,633,025,483,378,229,932,602,332,323,730,940,018,402,
724,648,922,338,272,792,582,759,963,428,034,838,955,456,679,016,351,958,652,
427,771,216,317,928,600,844,693,088,274,524,912,043,811,186,043,225,115,258,
494,173,056,750,162,371,721,656,969,424,911,289,137,631,811,358,564,638,100,
033,325,282,288,098,927,920,234,767,576,327,007,304,069,057,853,900,392,240,
682,531,473,967,897,714,089,508,178,919,860,888,348,032,621,689,678,330,060,
658,593,464,634,595,867,348,961,930,847,713,393,586,396,660,608,483,037,955,
644,929,799,215,592,229,522,503,831,202,563,155,872,980,057,397,150,332,007,
603,606,933,245,508,370,542,989,815,572,333,901,988,979,744,600,258,206,997,
264,256,440,536,134,056,443,963,420,440,366,414,029,666,195,760,082,715,062,
110,818,614,145,375,040,659,503,735,234,086,014,979,390,042,202,906,329,860,
146,654,532,190,278,481,538,647,254,402,224,207,696,601,780,952,069,674,249,
528,162,337,794,217,540,587,635,011,245,308,319,961,799,362,798,844,739,981,
242,282,857,092,894,970,506,170,189,202,275,708,817,145,953,449,894,514,162,
405,509,431,438,215,434,532,324,936,489,229,499,226,233,848,624,519,489,622,
831,522,069,281,861,828,801,308,302,670,408,782,379,490,053,260,448,564,862,
619,928,328,975,117,217,327,371,802,630,467,981,030,463,025,844,894,982,122,
396,276,108,801,133,598,186,063,168,749,118,628,561,084,274,713,913,554,661,
520,158,826,691,862,922,859,407,702,665,540,959,944,893,893,865,126,610,496,
543,436,773,233,160,970,289,248,710,435,060,296,466,194,253,462,750,684,004,
104,290,259,929,778,200,626,862,236,609,801,485,322,840,837,047,237,339,609,
178,048,849,069,969,676,307,945,177,334,141,600,143,153,680,683,895,044,235,
480,823,667,122,659,360,882,991,968,532,020,689,274,331,175,770,022,202,019,
206,743,709,731,065,994,835,487,973,365,425,625,564,767,247,259,014,982,006,
206,407,633,488,374,856,044,824,658,603,934,894,743,425,977,742,265,378,612,
905,562,816,783,626,123,072,429,054,460,524,995,149,819,498,310,855,239,465,
159,795,599,909,475,641,897,022,929,389,702,577,123,759,111,600,122,035,000,
214,055,697,290,626,105,141,669,380,865,473,736,001,904,234,360,531,915,560,
428,772,810,259,955,962,796,889,805,576,939,178,247,848,898,040,142,658,355,
025,460,433,399,341,312,994,681,431,245,238,664,197,969,565,418,327,139,389,
663,087,519,243,991,793,319,153,143,344,280,538,767,036,890,465,561,676,297,
178,932,525,868,373,736,797,802,092,498,945,585,606,957,657,708,611,638,147,
078,335,269,462,884,158,009,858,717,829,702,446,512,446,917,463,883,496,835,
917,465,774,299,738,296,358,811,721,029,184,698,543,183,434,998,657,828,791,
354,534,284,143,490,361,563,299,681,854,174,219,322,404,626,100,945,358,171,
677,853,883,731,842,128,547,761,972,001,273,892,627,675,193,179,192,491,897,
473,180,554,083,993,447,393,812,175,803,562,999,131,371,607,775,077,059,997,
089,297,247,775,752,445,558,022,655,091,452,316,993,606,810,119,282,471,110,
788,683,449,052,514,820,012,707,350,645,872,883,185,584,162,330,367,570,857,
927,389,332,989,326,855,860,345,782,982,593,547,742,201,569,213,811,756,599,
582,474,771,713,352,966,350,996,138,037,313,513,101,153,842,093,305,035,429,
894,558,863,411,579,804,259,644,635,726,634,306,505,864,326,496,641,751,975,
542,356,192,684,196,776,154,181,544,039,459,296,883,408,841,477,297,570,048,
098,983,517,228,596,769,984,377,205,966,723,924,492,179,791,885,071,502,981,
439,737,544,563,186,561,330,334,329,765,243,007,681,002,618,783,601,445,627,
695,191,881,737,949,397,661,118,462,298,106,518,790,000,343,220,134,968,882,
152,036,393,375,212,425,017,144,828,658,643,433,695,519,690,417,818,623,175,
463,222,678,916,918,965,736,494,112,135,216,813,711,737,730,871,543,308,758,
891,243,926,283,574,714,950,683,366,692,524,703,101,823,028,170,525,641,942,
330,229,166,742,945,232,796,295,639,490,466,843,472,442,969,461,613,004,235,
071,774,378,022,388,977,457,774,897,212,164,147,729,436,643,678,597,420,208,
295,055,668,032,567,775,937,286,816,698,270,708,525,221,750,116,998,791,580,
085,812,178,039,281,426,423,570,484,295,543,874,928,713,050,410,881,636,208,
088,223,636,205,075,730,494,669,384,441,437,922,239,880,137,597,594,281,044,
918,657,863,050,495,901,126,603,525,215,864,369,768,188,731,620,215,146,638,
557,049,197,869,656,349,248,132,152,744,479,991,075,535,612,488,837,949,221,
402,853,927,535,609,271,312,395,535,500,279,188,993,396,790,669,453,868,648,
096,164,454,896,440,806,864,850,797,168,256,443,485,049,219,712,217,960,929,
500,021,520,750,393,724,365,246,421,439,473,197,429,042,412,237,335,455,423,
330,261,453,039,765,845,693,796,633,436,224,131,176,767,777,264,181,012,230,
509,065,787,800,517,140,337,052,802,486,139,873,228,156,440,761,970,349,773,
316,340,294,026,565,057,232,001,214,498,207,447,049,002,947,119,871,594,363,
701,145,038,441,457,156,039,892,872,458,708,835,810,966,467,032,973,321,766,
586,292,319,341,164,204,938,932,260,371,159,742,287,700,681,111,488,666,005,
129,297,504,035,845,975,144,238,850,101,880,250,280,498,017,920,098,512,590,
483,678,631,278,965,654,974,183,177,996,474,091,590,297,277,425,889,494,779,
240,027,304,069,829,888,390,112,521,806,352,550,139,256,589,273,534,837,448,
805,145,636,410,001,178,865,238,387,838,002,994,563,151,386,740,420,633,931,
954,525,941,124,172,395,232,517,101,193,821,148,453,598,361,222,690,766,875,
726,266,244,291,289,075,870,125,044,008,455,493,523,930,953,687,228,157,331,
993,372,070,074,595,780,139,998,277,755,112,111,458,950,438,976,838,484,244,
231,126,859,781,563,515,949,745,358,827,806,020,052,579,355,858,654,647,996,
558,578,554,197,305,395,541,606,500,570,661,178,137,554,606,167,985,273,455,
903,211,797,094,315,744,012,948,712,068,268,110,725,862,654,607,128,173,320,
024,145,839,963,490,614,420,761,642,562,351,645,622,320,846,558,439,178,065,
971,801,011,923,187,056,331,445,967,591,576,788,190,897,276,495,991,239,335,
104,094,190,039,646,607,873,717,018,501,240,077,918,946,256,182,454,246,373,
702,240,176,028,847,651,609,506,421,707,460,752,979,658,754,677,397,797,749,
125,832,140,919,191,229,862,883,727,523,626,860,170,450,369,937,149,116,258,
223,140,352,557,733,150,381,831,509,337,074,178,857,527,540,989,799,362,597,
357,685,768,782,166,813,997,446,748,092,979,511,067,162,864,952,663,653,705,
411,468,718,718,226,128,907,279,552,793,275,653,845,261,827,025,837,989,491,
919,068,894,659,252,489,800,451,765,440,295,967,405,233,799,457,979,974,950,
393,471,817,361,300,772,981,663,095,716,092,572,953,883,241,747,118,848,147,
378,065,384,790,053,492,384,320,285,314,781,787,754,222,928,866,770,656,542,
357,536,360,704,101,378,168,023,883,887,458,725,990,206,718,520,856,346,281,
231,703,935,143,788,597,704,950,826,669,822,295,677,005,246,566,476,526,399,
458,416,126,677,275,955,491,771,234,053,566,669,142,176,764,353,963,474,693,
700,584,613,381,367,525,628,959,365,761,512,878,907,652,455,119,678,582,234,
568,346,040,179,052,619,640,768,830,053,016,177,904,095,337,999,603,672,417,
324,595,475,966,863,897,011,039,315,326,221,149,471,162,173,108,155,788,510,
194,962,614,192,467,232,388,310,148,369,325,738,575,361,446,304,648,060,035,
347,662,233,312,729,678,947,802,906,343,923,455,478,806,334,924,595,273,154,
885,514,394,017,716,147,039,975,227,847,748,653,279,817,851,341,517,227,787,
223,136,768,430,288,390,632,602,425,148,413,064,081,341,818,257,884,526,380,
847,025,411,904,298,068,796,633,899,950,874,719,259,081,214,449,322,778,747,
172,799,848,748,089,498,855,635,303,634,550,689,516,326,929,783,842,883,256,
619,381,747,988,545,473,299,622,008,637,380,315,357,064,522,166,276,181,821,
593,663,597,994,140,122,745,309,935,507,827,189,096,433,933,847,722,574,943,
264,424,186,461,001,644,635,099,946,789,247,570,906,664,298,352,437,365,891,
723,985,326,900,334,274,816,217,250,860,882,403,812,803,418,990,301,504,748,
240,748,247,839,277,173,290,500,684,704,692,098,551,856,649,429,634,600,745,
922,510,926,623,503,939,865,420,455,632,765,899,433,947,253,437,260,046,875,
116,304,937,604,238,566,411,101,515,372,453,081,799,355,325,460,520,360,651,
822,315,266,125,858,015,373,410,465,163,161,796,751,827,181,529,231,452,929,
755,203,911,146,623,272,919,950,006,386,087,113,098,976,915,342,246,833,018,
498,670,995,878,926,615,077,859,759,436,716,256,660,545,452,185,269,455,318,
649,392,111,412,405,189,126,245,355,928,763,407,751,060,029,003,858,803,491,
115,590,850,558,559,683,496,611,369,617,064,075,809,592,497,183,330,381,785,
989,890,150,726,616,622,582,521,025,399,971,594,677,039,193,102,241,597,593,
919,089,323,847,673,232,207,754,652,090,487,389,449,836,660,228,920,250,754,
415,110,016,691,407,115,016,516,836,552,450,793,481,150,082,600,659,904,206,
741,636,636,227,553,807,863,844,277,235,883,988,508,709,072,989,422,293,640,
335,629,736,425,204,884,091,728,423,500,514,026,699,228,811,515,699,134,177,
400,628,089,657,610,778,267,348,364,094,588,484,529,455,583,960,897,128,198,
918,362,957,169,039,447,237,457,144,718,658,314,202,313,712,294,785,524,117,
644,546,820,186,826,088,272,710,934,481,746,741,500,839,678,986,486,400,051,
752,356,892,730,124,762,025,497,832,416,904,210,203,435,388,329,789,022,142,
991,075,692,037,209,505,625,295,027,726,723,121,936,659,295,274,771,705,362,
003,011,399,624,829,229,434,324,587,082,889,278,318,774,457,937,341,246,440,
843,474,554,511,673,442,896,284,821,382,849,037,755,273,599,990,644,672,902,
429,116,307,148,976,795,832,905,603,360,306,578,125,320,334,060,770,779,892,
187,654,032,782,300,288,861,578,852,413,218,219,919,058,332,642,422,192,506,
993,206,655,828,355,377,569,354,975,470,975,385,056,187,960,581,703,782,346,
305,586,072,581,219,138,380,944,208,127,815,032,977,822,311,778,845,994,778,
640,747,659,707,282,247,219,608,725,540,775,815,054,916,324,021,509,221,858,
366,915,119,989,223,605,874,317,151,234,631,543,482,414,905,599,463,222,235,
659,299,677,788,258,444,971,731,504,218,797,117,736,024,549,143,785,518,536,
899,636,765,717,006,618,947,355,988,297,218,894,045,665,263,188,858,296,652,
897,639,268,230,367,196,827,995,441,870,191,786,581,711,171,088,764,395,166,
919,255,187,925,237,161,739,003,823,624,332,535,833,468,453,489,519,128,308,
032,667,385,102,863,742,819,995,022,998,412,978,125,951,616,376,866,258,336,
817,208,034,605,838,848,983,450,693,526,162,715,354,651,826,728,274,867,035,
921,332,235,263,759,400,134,266,002,903,625,828,861,529,138,098,777,928,704,
404,924,345,108,161,770,706,221,416,699,642,676,844,717,042,343,925,729,460,
211,736,687,026,513,077,144,279,806,592,181,162,398,701,019,063,140,002,682,
451,319,048,589,582,216,967,767,906,840,178,199,928,205,253,832,506,837,305,
139,179,603,966,701,568,591,704,633,343,060,779,562,418,105,113,794,993,927,
875,866,013,771,293,869,600,593,512,530,387,359,636,983,722,643,884,130,163,
867,997,158,552,572,292,269,630,323,495,710,901,052,377,888,382,132,557,082,
448,432,371,166,231,266,449,791,826,976,913,340,799,088,571,758,408,291,970,
274,570,571,642,393,281,575,262,445,063,445,246,143,068,256,042,555,035,560,
510,491,803,169,305,479,900,225,163,687,947,861,157,615,177,228,644,220,639,
418,708,432,946,038,739,764,237,570,879,505,612,785,905,428,843,624,845,795,
242,561,487,214,947,590,749,337,225,789,967,851,864,574,316,124,635,742,396,
483,499,234,502,328,882,864,064,545,963,305,070,857,942,497,621,753,609,899,
797,086,380,120,559,792,460,248,997,848,256,003,588,680,456,743,759,519,849,
555,424,746,022,980,496,180,047,594,532,009,233,307,204,394,650,842,637,539,
599,251,607,226,906,767,040,052,481,071,641,122,490,084,361,028,697,690,429,
221,665,677,487,773,949,985,869,048,330,106,288,312,077,297,479,208,243,014,
221,860,572,286,014,887,345,071,350,675,290,929,232,900,954,902,352,840,073,
964,514,465,145,445,901,779,519,884,617,924,584,668,997,821,505,826,703,883,
262,214,332,802,712,731,484,672,285,628,333,406,463,153,026,999,777,330,721,
612,851,754,496,895,590,123,828,555,352,977,345,278,676,690,114,080,213,367,
604,458,539,792,936,402,867,690,528,284,406,702,143,341,460,975,208,650,243,
801,860,928,269,773,523,579,125,462,093,624,860,532,491,672,241,502,219,774,
600,501,204,905,829,790,957,207,838,746,499,536,806,282,406,240,754,369,384,
621,983,533,332,662,442,172,456,130,752,050,517,046,196,130,053,792,698,380,
783,072,606,514,723,980,307,871,884,013,795,953,157,664,767,044,874,841,766,
473,267,656,225,887,016,596,894,580,392,548,009,207,441,525,782,083,418,256,
841,240,328,399,458,686,952,442,801,269,906,264,916,179,710,206,060,776,190,
058,113,572,106,887,639,723,640,075,786,133,392,017,502,469,382,233,185,851,
109,886,327,816,938,064,643,669,052,556,304,529,018,016,728,093,658,388,445,
412,189,535,513,749,067,392,807,698,228,233,848,220,786,123,633,301,499,528,
271,992,957,535,308,909,453,126,318,575,656,301,331,373,314,467,001,114,416,
500,685,074,406,121,636,442,797,775,815,928,598,360,123,227,567,245,405,201,
581,091,570,253,675,547,195,030,988,539,777,063,149,842,094,551,710,056,060,
463,171,385,844,654,821,646,549,854,688,572,256,451,252,826,132,192,249,858,
989,133,983,011,637,830,358,376,307,089,674,787,731,618,534,213,713,387,277,
326,441,302,759,147,596,658,842,318,456,206,143,023,506,768,649,032,085,604,
904,122,079,978,212,808,285,047,706,224,830,358,570,044,822,448,195,869,443,
691,057,402,974,456,311,255,702,130,793,828,641,374,505,816,251,408,321,721,
032,935,631,213,566,875,132,328,986,844,670,699,599,520,495,471,942,334,937,
123,479,297,409,387,306,778,615,461,031,388,644,421,475,176,454,792,147,125,
450,620,543,935,623,947,109,022,492,124,383,237,942,543,237,901,397,198,474,
087,578,962,222,300,221,074,865,790,050,432,013,307,892,473,190,458,176,769,
773,508,703,068,441,339,183,872,461,376,402,652,244,666,724,307,836,715,279,
614,681,880,428,613,452,514,603,292,067,845,678,445,345,810,343,347,366,066,
105,082,421,510,397,378,864,005,671,931,366,895,294,284,339,106,494,395,730,
672,295,369,403,651,207,615,632,829,604,247,899,822,984,602,069,643,779,273,
574,726,156,332,146,319,248,616,757,650,451,732,672,932,816,394,625,294,419,
811,760,435,878,797,820,513,180,164,546,000,745,637,429,883,026,906,749,808,
219,313,732,775,537,752,976,149,382,473,692,783,964,221,106,359,806,879,466,
651,239,221,378,162,578,382,586,771,017,044,492,051,830,513,352,131,035,403,
272,126,128,406,451,183,248,445,442,043,747,667,886,643,816,658,742,393,312,
317,628,935,185,021,736,774,157,166,827,788,092,444,628,495,708,087,109,683,
016,761,048,302,626,593,830,246,403,307,289,459,962,661,857,467,446,196,020,
414,257,707,202,251,652,825,455,163,540,522,308,276,077,082,675,487,290,270,
481,491,778,907,608,185,794,503,769,919,044,081,346,332,689,394,651,330,578,
984,192,148,367,099,629,047,944,600,300,367,572,875,948,124,648,298,109,339,
736,961,007,001,499,186,158,982,586,409,727,335,957,532,837,793,217,845,773,
062,844,678,841,517,654,405,456,247,188,924,211,544,842,134,615,878,923,948,
668,493,333,936,071,462,465,423,762,626,048,532,692,749,329,174,598,318,784,
525,617,689,872,739,623,278,487,168,530,231,486,830,405,298,990,408,273,161,
418,478,176,776,242,170,536,677,740,079,614,134,020,324,379,992,884,963,687,
749,202,503,217,041,697,496,632,143,647,034,384,249,134,825,903,073,550,164,
064,998,114,778,033,344,369,562,200,255,041,967,808,626,807,617,927,562,529,
709,290,527,364,278,557,052,622,056,402,928,946,191,328,754,020,374,266,109,
764,994,191,616,182,533,284,446,905,810,917,774,725,160,955,811,641,141,285,
041,653,265,932,903,016,153,482,318,486,457,983,859,779,756,422,126,921,187,
171,845,307,398,296,097,980,513,244,764,979,639,576,381,235,855,907,879,892,
072,781,634,628,336,638,473,416,578,519,706,290,545,019,973,547,814,032,163,
078,795,047,780,790,794,910,797,702,305,139,936,393,904,612,942,822,188,918,
728,284,601,365,854,747,662,236,170,428,170,570,660,921,265,613,412,503,257,
210,941,162,676,760,004,111,849,691,111,860,784,531,535,130,568,633,127,309,
498,406,228,869,756,849,693,683,922,403,384,597,998,854,323,488,706,954,169,
699,652,520,038,273,040,901,960,932,974,133,710,157,195,958,420,050,803,560,
339,001,714,042,443,378,686,035,941,341,955,735,189,008,835,600,614,503,296,
041,392,543,942,035,047,950,448,920,759,515,871,445,385,320,152,853,596,787,
561,140,477,631,110,042,389,356,407,173,976,878,505,771,279,750,490,455,223,
027,944,923,983,126,167,447,822,248,579,064,489,164,340,216,331,842,420,964,
534,587,636,716,262,684,985,704,104,478,101,740,788,466,184,452,356,815,412,
182,113,179,635,012,972,318,850,193,996,077,008,522,043,037,759,395,558,333,
433,250,580,378,621,104,119,334,055,051,784,026,993,687,079,308,153,340,452,
295,224,346,898,887,437,114,717,708,692,922,526,766,404,488,297,768,712,364,
000,288,364,538,101,331,080,351,150,050,951,195,187,439,248,758,073,381,217,
837,818,846,839,969,089,663,939,971,648,242,807,579,210,649,280,435,777,607,
549,863,955,698,162,526,092,880,797,599,433,329,688,071,064,108,137,862,742,
283,772,485,664,759,598,826,897,216,689,279,380,411,132,255,399,001,502,821,
447,216,175,387,807,457,871,185,699,587,569,951,845,117,783,288,578,959,769,
804,603,868,774,010,675,740,932,791,218,432,755,425,777,384,215,279,824,547,
661,969,539,529,342,981,219,657,356,183,370,946,571,693,319,234,180,372,125,
001,138,461,569,519,831,108,253,444,368,471,685,009,327,891,151,368,114,251,
096,571,386,445,988,250,430,723,737,397,152,249,457,185,909,943,879,120,510,
212,820,463,840,129,590,052,410,236,404,266,164,713,307,041,255,692,105,205,
710,346,408,262,602,124,766,805,157,354,929,206,809,931,443,828,286,025,787,
737,359,308,871,808,807,011,578,223,163,224,140,900,639,084,172,294,812,794,
280,459,293,967,531,703,014,018,799,178,554,796,833,022,964,774,513,701,193,
408,067,218,751,402,190,338,080,961,183,093,228,670,700,371,824,621,430,633,
766,561,081,879,524,276,960,152,136,277,704,890,000,178,022,136,452,255,783,
013,467,996,268,282,695,168,669,773,003,576,763,392,072,618,165,300,462,253,
475,645,887,255,857,439,299,134,155,417,763,621,426,090,288,455,650,963,750,
669,478,622,515,438,416,963,528,266,657,507,416,593,215,790,419,535,122,988,
583,530,442,979,064,594,879,090,727,822,097,842,046,911,643,733,611,821,537,
101,703,413,609,644,251,734,386,831,871,844,240,268,533,704,995,138,337,025,
373,570,154,122,137,194,399,810,765,969,197,878,370,834,850,906,518,089,486,
882,065,194,553,996,609,956,610,483,230,430,261,336,083,986,727,045,954,023,
911,170,538,161,021,530,379,595,311,822,487,391,252,546,695,843,480,267,214,
091,862,080,242,949,703,344,098,093,414,388,782,255,364,203,949,886,350,361,
807,867,620,892,337,246,139,100,493,293,431,057,658,727,438,561,520,402,163,
255,218,472,311,185,630,209,951,441,608,451,483,263,614,523,835,278,550,241,
352,871,798,163,449,743,871,267,455,998,526,859,634,231,032,048,199,657,502,
018,440,943,852,781,696,041,796,092,643,128,013,488,526,962,026,888,618,008,
563,057,301,149,851,311,779,907,741,200,379,415,309,938,470,168,387,511,423,
038,162,148,731,512,644,503,348,505,607,411,310,557,869,692,187,648,868,061,
038,728,871,325,181,570,227,192,165,385,016,181,354,093,597,445,735,224,699,
851,872,520,517,148,099,617,508,964,828,546,139,764,854,163,013,445,930,303,
997,077,554,187,143,792,909,817,499,035,340,726,283,781,377,190,009,849,184,
758,222,157,048,267,701,922,610,229,111,148,750,862,169,948,469,450,419,792,
850,446,388,187,227,003,027,806,843,687,776,960,706,879,831,590,311,272,376,
263,080,724,998,003,867,298,834,633,124,175,031,427,759,844,255,606,969,564,
578,484,122,445,999,930,555,531,498,501,299,101,895,016,558,660,250,994,315,
791,274,764,251,253,858,757,844,421,932,681,570,338,698,951,091,398,751,467,
470,490,270,385,073,774,244,447,430,719,197,434,059,141,199,899,025,278,108,
092,802,203,753,672,547,333,173,499,669,497,674,382,969,999,502,869,433,761,
075,086,048,343,969,384,088,030,326,238,564,177,819,296,502,967,823,262,643,
332,249,282,857,382,270,965,116,290,030,741,656,936,133,399,321,401,604,343,
608,040,966,705,196,681,446,832,663,659,858,539,847,309,223,106,766,464,528,
283,494,990,592,204,707,114,550,814,988,369,626,345,473,109,697,568,309,306,
310,075,991,780,033,518,531,772,030,467,110,415,500,198,427,798,830,398,014,
631,517,701,189,060,900,728,465,777,275,330,901,268,992,805,415,843,466,597,
836,201,258,795,417,900,568,029,315,890,819,074,207,209,875,660,401,289,459,
870,132,793,508,533,301,395,335,566,159,462,941,572,675,344,669,677,407,779,
796,652,595,472,284,579,033,478,192,461,920,192,742,176,002,530,280,441,587,
397,096,750,870,485,603,676,778,204,807,231,861,527,282,240,498,600,969,920,
400,276,129,845,096,801,603,277,504,328,844,793,780,956,483,119,473,714,107,
244,854,957,979,775,968,727,240,334,006,236,360,543,784,615,101,328,258,332,
508,791,266,920,470,319,668,429,118,282,557,424,706,072,024,092,684,569,809,
681,998,455,125,805,576,872,716,683,904,529,796,113,936,780,132,498,181,573,
427,198,337,417,742,235,366,524,433,567,993,563,253,359,803,910,527,661,641,
302,520,789,816,552,144,266,020,607,885,066,701,915,728,704,285,293,536,305,
701,235,196,527,961,632,441,925,122,560,307,460,618,083,542,222,242,362,234,
844,621,539,725,571,563,359,238,428,333,983,748,408,186,062,828,815,927,559,
897,807,848,664,015,843,426,116,463,874,422,837,258,173,123,448,504,413,971,
836,660,524,902,434,234,445,746,340,818,737,707,837,053,199,674,717,443,521,
763,280,436,357,993,525,264,983,199,207,336,461,023,079,987,046,209,348,144,
594,607,834,098,832,702,694,115,594,143,799,635,531,462,662,021,882,531,106,
712,361,475,951,499,357,934,154,557,679,269,691,925,112,130,045,072,400,736,
359,471,017,876,984,972,168,144,302,227,749,234,369,351,421,992,137,289,295,
967,863,170,418,492,759,648,917,948,903,929,026,291,617,098,909,765,990,855,
970,516,212,488,708,024,810,548,533,955,144,587,656,901,599,775,558,608,490,
092,736,524,813,481,767,924,668,791,421,768,949,303,790,745,135,275,590,403,
359,161,937,695,674,468,915,778,001,802,405,844,992,961,325,075,974,038,060,
960,855,103,731,493,681,413,295,652,114,478,983,986,617,926,283,606,106,137,
396,184,686,597,541,583,855,177,442,348,045,799,785,559,498,795,347,477,164,
883,665,791,342,778,871,093,879,392,420,398,396,396,425,008,954,120,881,644,
277,935,086,077,436,642,354,018,915,636,582,342,697,512,077,068,868,124,769,
201,278,842,720,058,278,470,887,112,432,962,590,935,165,291,310,390,555,862,
900,548,364,082,328,660,844,886,940,300,423,642,245,441,420,255,724,477,174,
112,908,057,667,926,565,996,184,547,131,879,679,224,310,974,753,838,167,389,
078,983,775,019,315,909,110,306,024,604,537,944,947,226,905,621,012,700,961,
562,989,053,555,635,146,950,924,135,837,934,896,707,753,826,568,384,371,718,
968,452,153,606,493,103,404,006,088,220,114,291,336,607,290,507,446,360,129,
663,333,370,412,442,868,807,213,677,670,059,663,933,651,610,000,479,043,756,
469,964,320,208,075,996,798,070,221,185,438,327,769,636,344,969,150,344,539,
146,510,519,667,088,048,757,934,154,002,901,962,114,634,474,931,726,583,704,
210,960,822,810,740,382,393,881,048,292,371,434,442,241,579,096,624,376,807,
719,508,650,715,415,973,167,314,745,044,579,967,102,138,940,722,230,742,565,
030,662,856,820,200,502,337,989,598,588,973,164,201,103,061,832,882,338,582,
734,698,048,319,190,005,811,842,989,013,278,467,018,419,797,186,596,860,997,
710,979,634,733,497,831,601,953,732,972,920,512,311,460,962,142,502,668,324,
679,933,543,354,719,912,552,650,756,780,414,502,800,021,585,981,382,606,593,
295,561,273,363,126,381,544,814,546,886,369,219,046,191,515,993,939,413,585,
112,264,508,650,144,017,666,942,075,922,506,581,410,275,184,259,917,989,070,
293,366,294,287,388,057,845,518,832,123,054,563,041,226,598,835,096,958,817,
001,896,292,029,989,149,246,508,427,235,493,539,665,246,096,123,973,364,874,
939,328,201,907,784,598,834,348,291,411,333,585,594,528,030,433,926,579,684,
702,682,760,781,492,266,075,362,965,158,949,263,241,796,114,024,798,994,860,
458,978,252,795,877,033,456,438,019,848,654,891,599,955,401,316,905,825,332,
032,593,121,310,272,507,654,596,589,239,586,892,853,349,673,219,385,071,805,
120,507,880,044,500,746,087,330,257,260,049,755,554,760,687,451,695,441,142,
895,459,618,191,109,631,483,409,733,974,629,033,426,704,078,275,903,031,639,
394,854,160,704,138,482,526,291,693,934,092,946,551,912,160,800,255,615,050,
068,650,523,656,442,109,663,238,942,323,684,881,145,967,269,171,423,130,849,
590,800,935,429,438,767,134,247,226,825,517,946,053,513,889,294,493,964,970,
780,765,868,987,502,677,225,260,196,532,341,044,356,488,660,511,574,819,469,
223,835,303,589,240,625,528,033,322,381,329,733,317,467,818,840,717,523,411,
699,758,813,232,362,562,506,372,981,501,733,645,170,787,541,259,559,221,845,
583,434,845,949,415,962,939,073,598,948,075,965,906,654,580,360,132,881,193,
743,140,832,921,418,835,398,532,475,601,435,548,171,757,456,974,696,696,870,
559,213,387,018,955,939,726,409,311,218,905,294,263,778,638,221,777,558,768,
669,705,251,933,828,521,381,187,812,325,536,781,510,788,412,371,855,501,296,
369,115,750,991,563,952,479,454,279,946,407,192,687,131,689,026,746,133,289,
143,520,358,921,107,045,247,961,268,409,509,624,766,124,609,407,278,515,229,
620,676,372,325,160,553,733,936,198,220,050,552,598,097,401,520,381,402,419,
834,273,035,849,604,728,979,175,408,815,196,784,195,567,292,098,744,376,564,
798,816,911,827,383,376,067,454,410,833,677,243,962,763,719,493,188,505,721,
066,389,944,656,395,388,490,075,116,507,869,333,512,363,328,818,511,032,969,
800,850,688,469,919,140,934,491,777,918,059,224,727,801,117,056,554,927,193,
027,341,404,843,719,131,430,917,456,273,998,993,930,046,104,004,054,193,983,
736,271,406,397,739,582,031,669,090,380,012,174,137,921,044,786,632,666,037,
571,126,263,545,000,163,635,508,445,593,223,070,017,948,351,309,943,721,959,
204,520,322,647,174,714,021,024,717,429,618,940,184,410,294,712,095,070,780,
246,388,743,745,322,572,192,606,559,230,073,145,118,795,459,196,128,600,938,
816,590,334,318,941,220,347,926,603,502,213,667,516,488,523,886,992,842,163,
023,586,722,565,306,890,029,455,881,052,448,013,572,012,189,208,704,577,967,
001,940,064,635,482,539,505,688,965,557,339,578,870,441,294,208,130,191,858,
308,343,145,766,655,023,573,454,445,303,547,681,754,107,067,588,264,129,986,
039,637,427,076,748,765,775,720,509,522,391,323,378,582,924,349,542,639,670,
281,043,749,617,374,408,645,601,385,886,712,171,611,248,747,901,639,841,153,
961,158,935,838,422,971,613,317,922,166,751,541,164,233,815,910,380,258,517,
580,622,115,486,618,412,975,412,623,128,927,240,193,640,381,124,586,603,406,
275,320,649,382,843,044,410,601,089,721,924,336,529,661,073,441,279,949,923,
208,813,704,213,501,951,375,670,435,620,336,779,450,244,792,775,196,366,096,
470,016,318,214,449,730,553,288,454,864,837,167,185,976,494,813,294,697,739,
893,890,253,157,857,925,751,163,725,894,216,419,024,425,157,179,743,083,851,
541,566,436,444,039,934,347,968,052,528,479,242,881,278,544,250,949,655,296,
938,164,201,159,255,486,837,429,007,868,400,764,446,723,515,978,927,630,971,
495,745,595,833,247,168,998,882,794,818,540,744,613,848,552,652,250,680,937,
865,464,376,027,986,123,021,773,812,645,119,109,181,459,816,668,298,990,949,
398,408,198,136,754,650,161,470,503,407,834,573,812,243,955,144,456,681,871,
240,174,364,378,478,985,902,996,603,852,357,198,417,550,329,068,907,315,476,
081,636,893,385,434,460,797,564,413,889,921,192,773,632,127,906,333,147,903,
273,221,679,885,174,342,178,614,287,547,033,389,694,925,518,036,213,757,125,
079,580,108,747,244,591,935,689,129,090,692,279,835,595,838,803,923,015,438,
988,319,587,428,490,026,350,319,108,628,207,938,612,198,744,364,872,388,594,
776,974,109,563,608,771,544,480,758,112,647,403,675,610,766,581,192,725,613,
090,520,655,328,292,823,831,578,642,555,474,646,938,200,487,422,255,526,144,
096,118,924,684,904,587,771,521,586,313,851,173,890,805,824,233,256,872,913,
329,870,680,657,255,056,900,510,959,977,236,219,112,496,627,599,444,024,232,
733,692,554,762,878,830,148,810,745,886,027,269,565,929,055,221,496,422,319,
230,819,964,254,247,702,340,885,039,747,926,612,997,414,596,521,911,131,410,
838,029,239,595,163,388,940,325,194,981,284,209,748,599,594,539,183,226,802,
716,420,605,182,515,000,620,542,070,519,981,900,155,040,968,867,502,509,437,
469,272,066,181,375,976,827,036,167,963,728,878,908,531,742,915,069,583,472,
175,730,834,011,499,833,351,148,718,554,628,275,447,107,559,372,912,204,926,
434,597,186,278,047,163,799,582,116,532,263,066,554,861,174,821,933,474,891,
131,429,040,655,896,484,085,578,699,707,010,290,392,222,002,805,989,615,119,
504,890,588,898,700,193,001,302,751,937,805,429,206,353,515,434,747,904,692,
483,992,363,003,890,433,473,705,768,610,703,408,385,075,539,861,762,467,838,
728,323,746,137,884,235,843,266,162,810,908,968,964,440,768,066,070,682,621,
690,004,299,159,894,418,717,415,359,899,645,905,987,186,790,118,425,723,886,
591,322,256,854,789,481,398,206,264,435,812,623,685,403,051,838,652,289,896,
618,767,528,636,331,531,208,162,105,646,898,676,507,804,118,727,377,135,381,
342,950,964,658,811,685,340,871,798,900,311,883,609,841,754,075,466,016,068,
873,832,964,251,517,904,099,009,400,046,058,025,679,393,625,909,307,464,598,
374,710,010,838,851,810,844,558,662,001,697,633,239,852,993,054,121,166,729,
037,785,262,408,311,436,728,298,923,428,453,284,809,455,584,664,955,555,040,
406,625,331,937,079,481,414,792,677,959,094,051,918,358,946,163,833,628,887,
006,972,810,818,776,959,931,978,313,527,308,743,706,780,203,517,319,664,834,
682,821,080,286,683,134,335,695,122,188,714,771,051,128,840,992,995,689,029,
747,825,431,752,974,681,357,830,896,262,269,215,278,626,185,024,291,466,535,
626,785,400,032,091,649,577,547,358,470,907,825,088,033,144,191,261,784,298,
112,764,665,813,264,163,586,816,587,357,652,223,523,897,339,234,363,242,590,
409,230,103,984,247,101,950,655,632,619,485,206,260,405,937,630,974,163,413,
895,729,321,807,099,948,066,017,184,235,650,033,988,524,112,993,671,074,082,
165,384,178,764,540,989,668,974,452,836,213,119,918,218,044,480,319,125,563,
926,018,137,251,754,485,687,717,558,507,494,800,122,014,071,850,876,609,398,
717,601,820,955,442,949,385,480,729,202,915,218,933,657,776,350,530,226,681,
865,921,693,009,599,273,032,726,505,853,908,146,433,473,894,513,455,950,434,
171,202,653,609,795,703,435,560,526,791,270,784,891,103,406,190,905,467,618,
831,839,799,398,843,037,048,082,688,229,974,332,771,750,473,060,533,143,877,
592,535,163,150,743,414,289,993,117,176,747,661,353,728,265,960,976,734,495,
501,640,910,716,092,613,990,200,513,496,667,931,493,586,982,040,887,925,557,
300,023,659,335,219,494,238,630,523,103,998,059,179,889,023,313,070,786,085,
612,525,788,380,419,193,900,618,802,306,219,054,104,414,575,279,924,475,677,
912,060,500,640,734,438,405,719,334,194,511,897,043,205,423,512,209,800,877,
436,591,729,274,493,809,740,856,716,515,804,099,040,231,826,319,176,937,965,
845,767,460,082,425,782,680,960,427,676,914,074,989,124,912,900,126,465,773,
874,036,380,822,944,109,430,250,707,311,611,417,573,419,132,988,309,884,778,
064,634,930,268,433,098,674,823,234,355,392,349,728,631,360,196,398,481,307,
856,576,824,288,769,406,549,554,204,393,632,855,016,728,552,672,349,503,166,
094,306,328,256,091,712,564,754,616,772,547,874,654,249,983,974,719,791,355,
591,836,463,518,114,765,281,162,482,613,967,780,668,648,134,038,253,979,488,
328,121,950,149,652,741,606,788,241,739,501,483,775,953,508,312,978,946,684,
092,675,968,908,506,822,256,984,523,140,871,591,547,819,782,644,703,577,542,
442,385,230,954,564,047,799,368,015,183,121,196,920,868,262,995,793,658,915,
517,284,626,646,750,282,905,753,319,350,855,541,043,270,059,051,754,449,704,
387,135,518,727,241,111,590,571,813,932,466,985,388,484,170,381,813,195,053,
726,193,304,361,971,767,235,053,038,388,880,292,285,821,214,495,098,277,575,
308,470,230,407,782,983,555,081,373,201,340,988,223,508,088,637,081,883,079,
029,810,562,506,940,120,256,691,776,592,813,744,531,667,349,063,625,629,121,
703,939,427,322,630,956,369,476,574,015,585,855,242,295,595,034,782,163,194,
091,619,586,961,013,300,999,208,009,834,030,128,764,821,917,882,288,573,342,
642,587,759,581,869,589,509,617,007,464,917,715,888,066,360,059,677,465,063,
291,492,622,524,308,981,746,083,689,830,939,911,751,060,134,861,510,945,946,
775,477,123,517,591,369,320,808,909,487,512,130,766,567,262,083,687,128,875,
398,145,194,640,645,915,147,793,972,369,924,767,743,704,507,530,687,093,199,
508,454,338,189,895,745,255,547,354,515,572,043,542,673,388,747,848,674,591,
368,087,200,787,275,489,301,625,874,641,959,864,575,797,673,180,445,305,559,
250,338,028,913,687,797,225,540,748,132,168,146,629,818,837,084,037,294,383,
808,358,134,459,476,701,064,230,714,177,897,587,239,842,533,332,047,163,007,
977,922,494,732,480,226,168,837,325,380,894,258,827,047,901,266,935,292,284,
072,976,685,730,911,122,688,060,727,606,002,401,967,070,816,753,981,714,120,
483,378,923,504,803,868,250,156,163,818,926,147,552,374,256,916,525,796,819,
890,253,220,532,404,951,434,138,231,625,459,838,322,222,341,021,238,326,908,
102,755,973,790,908,691,852,285,164,766,339,823,225,878,083,606,921,241,572,
393,108,677,362,441,609,647,384,102,290,964,493,037,818,304,951,507,416,806,
709,074,767,402,319,421,187,651,982,092,982,264,088,100,404,958,637,382,760,
675,280,720,871,748,466,454,536,377,067,790,371,083,201,708,471,083,548,156,
181,067,969,876,585,862,323,777,046,682,588,971,055,086,878,020,502,375,138,
723,711,991,943,677,481,722,691,181,326,646,019,477,217,188,633,093,739,701,
042,584,171,449,731,657,785,945,561,586,486,087,941,103,095,192,316,548,434,
646,909,933,786,663,595,438,250,752,091,916,033,685,275,050,465,452,245,239,
959,113,519,571,790,577,288,024,193,487,557,054,759,440,230,938,703,251,133,
306,401,335,583,139,350,532,219,187,614,466,219,256,198,445,832,483,686,121,
513,796,858,475,686,394,683,723,060,700,878,766,246,246,890,559,221,421,818,
443,061,383,210,098,723,092,850,498,969,099,594,556,866,686,523,993,747,705,
276,284,094,661,101,250,912,847,200,695,971,295,340,684,105,569,963,943,055,
067,052,402,425,033,179,594,392,474,900,523,332,670,877,304,450,304,700,931,
137,788,189,316,518,197,350,420,706,905,361,668,450,911,080,706,649,915,744,
633,922,628,337,204,755,921,964,646,950,372,368,448,665,435,244,836,418,939,
276,067,940,289,408,509,308,393,843,892,559,324,818,376,815,713,736,387,461,
050,350,377,277,430,870,322,227,543,996,256,900,973,288,782,774,825,550,148,
411,252,348,685,953,301,863,656,404,974,180,618,238,110,112,044,497,384,643,
913,514,363,565,813,786,407,961,146,240,912,875,120,726,334,716,598,488,435,
665,180,545,896,287,888,291,245,120,077,807,404,436,189,591,267,050,611,793,
147,272,750,884,120,707,294,509,266,851,595,580,041,808,795,466,699,145,940,
037,674,812,148,584,131,167,360,116,785,660,521,987,391,694,839,786,721,019,
290,116,783,397,721,847,802,512,566,464,635,289,379,778,004,572,230,150,133,
399,385,161,486,286,910,378,388,383,885,981,453,968,496,562,442,732,974,922,
413,665,936,341,388,957,613,553,741,380,495,529,926,310,648,925,913,186,097,
006,518,913,263,975,457,491,908,648,203,919,028,854,695,293,133,724,204,097,
339,398,110,625,731,005,113,036,193,212,201,746,660,343,987,109,549,819,500,
488,276,494,795,570,320,902,991,469,367,305,122,267,620,571,550,524,709,317,
524,927,501,159,576,092,767,065,375,062,668,142,418,717,617,231,219,083,770,
292,125,592,025,687,965,438,044,550,223,408,607,492,645,265,520,440,958,145,
165,195,723,480,424,254,064,670,400,176,015,523,226,523,177,800,503,247,569,
592,607,402,673,428,503,273,233,903,090,077,933,029,340,618,477,542,312,731,
428,421,240,653,375,907,928,698,212,724,713,378,877,970,492,329,990,092,581,
403,923,317,982,431,277,463,718,533,749,335,186,208,237,247,440,890,838,206,
682,828,883,308,841,303,057,826,428,734,611,529,163,369,608,553,575,019,090,
580,256,182,353,897,997,236,074,481,344,655,252,293,181,094,281,428,671,517,
137,559,293,168,089,942,567,114,426,711,141,029,593,439,075,536,729,969,165,
862,038,128,641,543,448,038,279,947,052,654,202,269,741,664,249,899,686,255,
291,192,515,823,840,273,099,011,728,166,469,232,779,453,447,404,282,859,616,
602,247,607,637,665,604,868,478,990,308,778,019,626,626,736,527,178,450,349,
659,756,194,783,142,931,015,814,191,162,699,450,563,351,379,704,438,396,974,
518,820,246,794,051,849,252,676,342,722,854,519,595,194,094,560,775,559,318,
005,815,239,880,409,161,552,664,585,812,078,948,641,453,175,718,760,322,967,
783,392,987,753,180,266,488,445,036,947,171,909,881,734,129,510,999,753,643,
178,977,164,306,617,578,505,094,595,449,643,958,533,717,774,500,227,947,617,
168,302,742,613,600,433,617,967,274,519,547,286,349,912,017,554,602,960,147,
477,779,744,854,449,365,639,161,087,392,879,156,954,383,170,527,570,176,328,
223,365,250,232,887,029,465,716,857,953,525,380,472,798,127,982,232,150,662,
210,720,351,795,061,171,000,220,628,589,070,798,316,975,629,065,422,351,876,
777,094,962,845,794,557,805,774,301,721,875,701,816,490,385,120,565,181,900,
847,047,104,934,418,535,854,555,584,824,912,903,550,098,094,685,617,774,453,
816,655,424,963,465,234,779,817,628,573,451,341,637,412,761,362,621,681,697,
597,409,228,641,491,922,754,624,123,136,282,927,414,230,874,405,174,177,519,
975,785,288,983,825,204,996,382,946,122,167,648,956,153,768,170,121,149,493,
460,958,284,305,715,355,833,526,124,656,804,509,746,018,497,755,479,241,479,
180,181,293,125,855,252,634,357,893,330,924,589,533,940,852,662,802,197,456,
230,155,747,442,101,191,786,574,673,110,337,527,489,872,172,663,226,631,774,
551,202,578,065,767,849,138,240,382,331,691,150,445,416,025,955,360,257,020,
022,149,428,400,957,700,607,749,583,723,291,538,632,429,909,313,092,715,451,
072,832,600,807,089,121,870,900,357,156,141,684,362,085,991,479,011,218,471,
422,802,941,350,382,218,302,385,164,353,136,937,647,770,902,700,244,550,483,
207,224,756,571,941,635,243,915,473,183,328,296,402,905,501,746,595,700,716,
395,449,526,365,970,419,642,629,525,989,709,764,530,210,124,340,733,409,577,
692,708,435,312,948,545,407,752,684,557,219,079,087,265,021,279,115,841,767,
992,529,395,370,583,812,321,021,611,032,217,205,827,992,516,952,611,293,020,
694,023,896,589,983,023,383,432,589,049,960,173,646,363,165,232,349,863,512,
797,420,287,760,574,779,538,769,622,111,334,805,291,152,925,213,085,639,208,
446,662,892,742,490,804,037,886,029,999,408,485,026,904,547,351,507,923,253,
882,324,129,854,414,899,170,378,623,180,458,234,865,504,887,286,691,737,877,
367,650,112,868,288,787,932,120,695,405,327,867,576,682,420,600,512,390,284,
583,873,934,855,818,373,805,246,091,554,443,088,500,087,572,575,511,095,916,
281,063,952,088,304,096,247,262,268,539,325,913,881,561,095,630,971,502,371,
743,820,075,671,526,227,196,370,889,626,115,635,047,282,332,202,284,216,014,
751,008,058,789,866,651,646,671,442,827,428,076,614,585,469,866,876,710,452,
190,719,252,352,925,186,402,172,741,517,580,337,664,908,083,452,810,578,095,
819,092,344,649,893,987,630,118,268,310,465,511,102,330,617,032,407,568,104,
700,601,614,350,815,662,968,701,182,420,988,470,780,916,688,979,459,298,087,
884,930,049,190,070,340,994,897,359,207,605,734,371,089,825,933,265,516,343,
131,033,025,501,871,118,025,858,679,919,831,042,212,106,640,449,216,697,453,
187,060,984,424,575,618,822,528,880,921,170,530,430,318,099,365,356,729,199,
850,638,948,847,650,275,310,771,224,373,552,777,825,538,273,687,091,971,429,
316,834,437,554,364,690,156,920,430,126,679,209,079,251,356,675,712,397,384,
260,082,048,954,660,759,890,787,718,727,801,269,339,437,245,851,268,326,541,
021,988,389,575,397,592,236,926,339,714,237,565,378,587,984,868,897,538,696,
354,765,183,250,453,143,874,858,318,324,214,668,129,222,852,521,412,587,639,
602,787,999,536,630,573,750,260,319,906,877,235,399,249,796,482,738,785,980,
966,787,629,595,975,427,647,068,006,914,285,780,136,928,989,201,219,369,916,
024,962,586,065,508,628,563,959,555,874,060,789,648,975,744,198,919,968,210,
809,211,219,572,840,303,777,517,104,593,719,646,426,752,198,083,148,382,819,
548,803,734,725,384,274,656,910,324,405,988,620,624,533,184,039,258,930,066,
725,417,218,554,902,886,365,983,089,181,684,979,967,180,503,129,126,805,334,
295,051,819,328,963,569,446,697,328,983,255,528,582,971,325,676,035,048,676,
094,185,879,522,536,975,685,656,183,067,650,714,787,893,271,973,097,790,869,
321,543,024,085,923,130,452,670,026,092,909,310,445,441,591,189,100,187,822,
648,922,876,789,811,390,834,845,461,825,733,165,802,205,404,397,006,113,880,
241,123,235,541,884,563,736,638,378,407,770,665,896,704,948,706,443,653,705,
806,988,864,838,766,406,531,216,574,977,483,870,088,043,238,971,604,162,364,
493,696,762,141,815,583,860,266,765,857,012,769,760,700,792,546,204,428,283,
365,436,180,722,367,140,686,558,853,104,225,689,677,201,050,954,378,868,135,
893,466,973,965,695,752,279,576,628,375,843,939,051,635,908,966,244,623,353,
343,749,022,679,625,434,822,813,442,118,117,205,543,596,985,229,953,367,991,
274,591,150,808,923,241,604,717,566,447,507,012,400,279,786,592,488,893,499,
733,469,335,103,623,476,728,702,028,473,034,893,495,988,904,819,868,370,634,
398,905,226,406,273,021,696,250,390,791,325,581,867,972,755,763,230,043,639,
917,635,226,225,556,958,409,628,698,805,091,970,672,766,947,989,859,191,160,
064,489,508,486,195,933,930,621,157,362,147,216,502,005,403,074,320,734,180,
085,997,343,444,417,175,756,484,013,290,691,939,042,019,656,838,438,868,275,
014,510,500,681,395,160,642,846,754,439,278,115,332,646,760,736,777,738,816,
013,934,555,965,345,363,135,750,524,818,226,666,578,516,524,654,275,455,537,
161,748,639,850,435,361,127,554,450,892,711,316,661,900,116,044,683,324,570,
483,247,443,872,528,631,758,429,301,715,867,670,716,217,525,035,597,075,873,
707,434,343,762,124,288,163,382,503,223,730,014,391,067,340,772,661,689,128,
585,807,352,972,604,689,925,971,450,350,253,307,873,428,520,778,499,435,603,
855,564,491,473,708,707,178,160,740,360,279,744,936,232,092,819,094,693,947,
979,607,156,645,463,966,091,243,441,007,212,281,209,116,926,291,962,045,239,
621,391,383,999,978,808,090,995,152,977,523,355,644,708,803,568,281,014,781,
337,036,703,023,245,315,778,197,407,416,029,760,596,013,035,875,776,605,363,
609,095,796,861,912,829,487,046,860,340,224,013,179,081,428,745,009,992,574,
188,398,331,830,832,670,202,539,333,176,898,496,423,486,757,532,096,092,903,
103,885,571,911,078,583,003,318,732,910,511,320,856,885,058,338,000,830,830,
504,885,001,433,320,408,685,298,920,317,164,604,230,793,886,440,042,233,996,
687,863,836,059,614,830,166,533,786,701,694,408,426,968,904,789,263,495,440,
726,704,803,988,323,740,292,399,065,069,621,372,552,844,583,830,591,947,312,
385,099,652,193,331,856,603,087,067,692,824,841,831,195,137,286,642,882,426,
228,838,016,975,644,827,023,738,781,987,001,598,518,181,258,018,903,644,550,
052,463,192,796,444,303,541,086,672,003,211,249,470,421,033,378,963,434,323,
735,862,625,713,742,523,271,917,943,902,261,034,865,187,201,129,952,436,301,
886,825,153,299,779,405,615,474,011,825,347,489,117,791,212,133,905,237,311,
323,639,942,764,467,790,462,605,961,086,871,747,980,726,877,060,964,424,751,
205,458,242,587,889,615,243,882,217,628,149,320,844,983,443,037,502,083,334,
932,084,111,678,977,174,664,886,035,801,138,020,228,035,012,147,612,603,702,
506,072,238,059,500,289,034,281,858,798,695,028,310,713,307,969,473,959,395,
302,782,659,282,930,374,321,733,308,416,925,306,488,427,779,151,490,204,847,
213,015,972,156,821,816,728,754,926,026,667,830,677,473,971,144,402,589,018,
606,589,397,948,498,164,716,974,614,033,247,256,715,216,387,864,700,049,874,
372,598,772,438,053,099,193,347,299,249,517,390,587,441,275,126,262,528,784,
750,576,686,884,834,617,742,836,521,280,446,450,801,266,471,071,952,507,450,
009,670,735,530,709,105,240,973,865,779,199,937,382,352,804,436,989,383,769,
687,558,872,546,436,963,488,059,740,157,819,323,563,143,863,929,720,343,089,
791,963,873,596,128,636,766,298,188,704,468,211,400,460,551,846,767,193,611,
633,921,428,867,713,117,305,015,536,543,173,082,775,775,725,179,593,635,177,
035,353,007,002,854,361,754,613,111,023,956,353,303,442,835,901,218,956,491,
448,250,487,271,400,834,075,352,671,197,599,369,410,688,160,049,330,899,857,
732,246,573,550,662,061,163,177,232,903,428,282,178,122,919,982,497,232,236,
340,858,493,012,755,332,180,688,513,505,761,487,777,767,122,588,733,289,926,
952,517,655,213,227,043,224,804,670,181,881,170,526,584,189,812,994,695,678,
335,587,714,552,830,273,089,261,907,361,431,417,974,016,320,135,681,438,184,
893,548,394,688,869,769,942,812,243,236,303,660,835,028,171,508,351,944,936,
093,159,178,697,412,599,527,094,268,060,885,701,799,949,226,161,225,917,068,
737,942,675,497,627,113,854,235,241,478,109,660,374,184,401,329,100,730,709,
802,112,653,280,468,526,025,054,057,364,570,936,558,208,969,169,201,848,682,
444,637,840,667,340,388,939,553,507,495,971,768,627,698,440,596,360,905,248,
364,470,767,722,582,472,572,731,103,505,457,696,561,605,913,455,637,572,145,
600,183,906,373,897,989,434,339,925,386,757,746,015,780,580,914,562,458,372,
941,047,604,637,528,241,637,276,524,982,965,701,635,053,930,963,024,848,790,
847,801,236,483,465,068,255,744,933,490,487,850,859,376,903,085,838,433,380,
917,135,752,322,232,484,010,274,798,087,326,387,765,298,684,499,150,013,729,
002,949,751,172,183,731,286,648,120,086,380,986,889,797,309,304,645,121,426,
315,599,064,494,188,303,073,745,253,179,257,471,898,384,596,908,169,366,198,
700,743,610,515,333,016,524,010,410,767,880,518,768,588,648,201,066,164,293,
152,823,787,896,778,716,697,456,407,440,122,990,187,913,844,376,918,881,606,
763,359,722,544,417,432,931,426,491,042,672,755,526,579,562,825,264,613,964,
175,409,968,843,045,065,821,725,656,530,461,521,511,041,305,065,191,029,667,
620,260,573,152,233,536,523,225,670,396,452,513,081,781,531,736,512,451,712,
072,876,130,317,458,811,234,045,649,906,280,081,765,412,519,846,276,864,132,
407,826,512,174,764,077,465,702,510,696,522,879,452,438,070,983,271,417,182,
176,216,714,156,631,333,518,064,549,772,381,617,710,643,937,280,821,015,256,
743,556,990,932,395,498,495,187,105,638,198,417,719,369,091,281,415,424,591,
897,570,621,822,252,651,845,210,065,631,680,878,478,272,245,356,018,057,513,
384,446,088,337,586,588,726,301,691,648,776,398,378,003,344,084,549,780,870,
325,929,677,760,358,294,523,113,084,072,490,663,217,878,467,111,424,830,342,
409,475,493,716,215,046,844,673,383,486,931,663,978,222,723,253,028,215,467,
334,391,585,165,206,675,233,708,283,494,329,388,708,082,529,790,061,510,962,
786,739,607,742,328,208,690,489,791,236,395,780,162,300,907,430,455,000,764,
226,933,075,015,494,465,209,836,872,770,263,809,565,815,428,742,957,502,695,
466,700,491,544,101,645,649,637,159,205,916,411,070,535,833,159,556,038,698,
683,208,843,468,981,996,219,500,814,332,073,504,636,783,655,474,240,324,627,
887,314,996,918,039,060,340,152,674,855,709,928,414,601,886,316,521,700,313,
374,777,420,932,853,785,826,799,731,329,251,947,264,724,175,838,143,226,702,
959,153,312,322,807,970,685,073,613,472,325,850,279,155,409,216,670,819,286,
474,260,424,647,147,727,033,162,680,511,850,627,994,419,448,551,182,381,572,
304,712,125,454,298,436,480,477,701,562,928,832,566,179,731,716,743,961,344,
075,592,377,422,090,081,646,343,983,331,335,862,034,962,606,893,643,932,884,
092,716,501,924,235,552,599,077,184,450,410,357,446,555,376,366,574,954,587,
832,819,437,993,910,600,965,525,449,896,678,215,730,854,761,512,054,113,332,
887,229,561,694,291,399,283,581,380,390,828,990,690,291,071,602,100,413,253,
029,319,489,049,207,326,828,338,980,866,598,525,723,385,712,852,389,194,255,
617,537,953,559,624,530,600,523,366,915,674,541,844,395,458,157,631,471,343,
397,034,082,969,395,428,922,717,277,125,584,023,779,154,891,178,960,985,150,
712,275,901,553,449,692,080,725,802,188,901,606,037,804,616,059,676,297,338,
025,224,607,056,539,602,492,037,719,422,393,721,678,928,708,271,078,560,616,
138,186,450,233,743,146,202,536,608,062,937,850,683,241,339,273,873,361,850,
609,278,371,553,119,184,196,272,301,776,295,870,694,435,005,318,913,428,650,
479,705,169,133,667,906,691,696,524,231,757,194,152,596,484,792,674,622,853,
630,915,582,288,073,732,444,955,018,536,596,925,235,670,351,954,457,632,813,
432,308,820,831,945,987,574,371,652,665,848,068,230,064,850,174,608,126,163,
158,189,904,266,445,268,344,588,109,566,320,843,935,035,217,430,883,533,282,
340,763,797,338,811,716,499,507,504,090,467,793,471,417,727,091,651,057,452,
205,807,714,369,106,587,890,483,911,368,095,591,514,766,281,839,411,116,522,
555,957,604,830,142,439,887,763,492,596,075,711,305,543,718,554,788,329,089,
162,451,148,443,648,964,230,083,840,256,410,705,454,662,407,367,800,892,665,
428,525,621,168,959,006,394,312,065,982,351,513,008,806,740,805,515,105,323,
784,869,549,896,567,368,404,330,855,763,981,528,936,986,600,424,483,741,354,
414,616,189,220,217,924,609,187,514,261,336,143,953,461,477,270,434,533,050,
231,889,281,968,165,584,723,234,047,930,307,390,796,646,806,719,534,315,316,
898,017,241,561,773,532,215,721,502,407,963,323,426,879,918,297,462,562,848,
015,326,111,615,017,586,615,845,698,852,541,540,157,729,957,304,492,582,010,
331,104,500,701,465,358,127,116,117,828,741,570,836,192,478,240,422,728,667,
377,627,685,809,810,226,392,663,048,501,047,784,126,789,862,612,489,442,890,
728,178,685,459,216,580,166,062,047,300,644,597,046,047,011,417,610,154,500,
614,962,811,798,640,668,915,447,284,709,936,211,631,333,527,901,299,495,086,
817,251,023,459,532,876,403,756,023,991,436,370,275,835,228,807,359,588,234,
414,407,618,978,922,037,259,083,663,447,491,612,660,330,880,025,390,614,943,
941,758,556,135,896,016,632,988,436,114,204,509,922,036,747,521,102,308,996,
179,567,530,239,170,001,784,919,054,821,699,667,385,866,948,222,947,565,942,
672,129,619,274,235,553,959,350,223,261,642,679,975,325,521,869,349,271,977,
214,673,892,198,954,199,985,922,163,858,604,683,504,149,600,687,038,118,690,
011,926,795,848,421,055,443,942,235,117,093,868,380,789,577,548,487,751,619,
683,405,588,124,372,554,739,615,571,471,679,391,753,362,275,565,474,333,435,
716,316,778,280,206,739,646,719,606,426,785,775,594,869,063,795,317,366,938,
101,763,083,195,325,268,576,461,228,007,498,133,679,341,469,866,113,227,374,
583,769,678,406,727,909,207,282,305,526,649,970,000,464,070,559,027,893,312,
137,320,467,092,567,569,300,927,471,611,625,886,270,170,177,161,524,116,381,
639,074,978,661,540,596,924,830,954,125,152,412,002,272,227,062,805,616,745,
497,388,183,211,430,086,704,675,697,838,000,140,006,633,639,916,056,271,391,
832,040,426,763,891,110,458,028,325,466,283,729,427,777,546,893,845,152,351,
557,983,832,015,761,386,693,590,422,245,863,526,223,795,917,179,994,200,511,
207,147,188,631,484,594,881,774,447,069,349,116,706,259,141,994,401,327,354,
451,314,920,552,720,450,777,927,798,167,858,889,099,011,363,340,319,353,517,
529,641,830,886,672,148,636,912,881,043,217,275,364,285,308,205,388,416,287,
803,687,257,123,069,766,716,340,635,836,308,481,542,553,108,667,469,584,729,
111,226,858,366,299,415,882,905,306,950,586,696,034,576,245,194,476,525,763,
253,090,195,150,765,515,194,562,548,995,566,430,574,120,784,560,605,611,662,
172,123,962,233,697,474,727,993,791,372,444,670,134,382,702,766,063,171,439,
152,016,606,563,664,158,458,336,427,188,447,113,867,557,019,318,039,787,187,
240,093,437,763,824,252,736,075,734,323,801,125,135,129,891,577,860,631,930,
524,072,552,959,902,650,771,212,266,852,193,483,500,938,785,427,035,448,916,
594,586,982,855,692,349,159,510,153,635,612,027,739,426,359,223,362,492,364,
674,661,747,079,298,387,363,902,520,129,162,894,621,174,080,205,423,008,034,
071,590,410,795,474,591,188,029,497,786,457,532,836,193,868,078,240,404,591,
382,629,313,839,608,695,736,352,960,992,342,357,783,209,836,593,338,120,329,
242,084,697,692,842,357,437,487,615,766,936,776,930,168,321,649,853,323,284,
257,286,699,449,919,902,433,006,733,716,778,026,274,913,765,243,019,445,446,
098,003,085,666,490,962,595,409,765,577,245,032,760,086,732,446,062,981,416,
628,535,876,360,795,692,317,176,670,645,616,750,806,895,127,334,655,570,341,
609,843,342,942,511,419,721,027,906,332,460,755,513,223,612,530,220,529,084,
042,134,409,930,175,293,525,463,557,596,100,835,764,419,167,653,404,797,215,
908,222,950,909,119,252,498,154,270,642,852,977,043,294,561,664,471,005,167,
152,657,782,456,235,267,542,001,453,880,342,441,442,641,418,570,157,758,719,
823,222,008,459,842,575,211,279,402,824,655,853,924,601,721,645,189,695,576,
335,712,900,523,385,870,266,597,838,810,942,317,197,256,786,906,897,244,226,
611,023,838,769,259,482,440,943,178,421,614,800,639,645,441,731,291,662,331,
528,856,006,127,763,625,067,314,740,144,495,357,736,443,131,510,719,423,066,
167,004,565,962,247,245,056,416,692,710,856,736,849,702,213,215,985,044,133,
517,345,385,177,418,337,839,401,234,508,135,378,598,488,878,618,418,382,244,
215,002,662,418,978,311,227,781,822,438,286,215,150,777,434,113,437,961,625,
086,389,468,279,338,020,039,107,745,020,815,344,115,631,925,520,292,279,015,
297,583,412,500,995,008,983,391,993,455,904,821,515,388,424,585,260,265,349,
516,306,004,044,130,125,078,913,528,232,306,530,671,039,264,260,215,500,326,
972,305,007,910,351,527,159,484,842,734,418,823,356,633,234,029,751,782,276,
614,743,815,225,116,062,554,627,946,382,784,675,780,693,917,019,129,946,999,
066,153,102,064,987,508,385,003,698,906,923,491,401,141,544,991,407,087,327,
624,852,199,862,631,560,593,068,540,057,024,270,232,927,075,143,228,009,062,
964,464,756,728,521,601,178,501,386,496,491,579,808,441,593,036,467,552,919,
701,023,656,366,439,427,382,954,364,074,124,961,427,628,393,915,496,620,898,
583,824,683,206,044,908,854,326,313,521,988,898,749,672,012,838,826,450,892,
434,730,573,771,990,858,413,806,261,200,686,846,515,184,405,902,625,151,050,
747,438,985,120,138,540,287,301,138,886,379,319,021,462,336,064,997,929,973,
473,826,407,285,223,198,119,209,741,404,214,890,003,259,781,661,955,617,546,
230,530,527,189,354,999,277,356,274,014,444,951,795,720,214,954,356,084,333,
377,618,340,851,482,112,225,898,931,851,014,825,801,993,526,341,342,337,423,
691,231,000,615,397,240,097,338,596,525,439,204,140,494,770,303,204,982,330,
364,304,227,563,630,243,867,227,408,686,876,771,629,915,809,584,881,396,278,
890,588,280,048,352,800,280,997,839,180,857,040,582,307,886,271,045,831,953,
169,295,286,471,682,852,137,751,677,538,790,739,821,437,891,710,745,197,752,
743,861,054,104,881,345,897,564,665,719,916,176,372,340,954,362,839,879,928,
075,504,779,583,950,547,731,995,012,422,568,959,191,375,160,529,069,366,894,
100,385,489,768,245,748,509,172,879,076,048,355,438,989,355,317,592,813,115,
444,655,553,476,218,661,144,243,692,761,913,564,930,125,801,250,456,633,773,
380,403,783,086,878,226,928,430,309,084,745,139,451,162,600,451,547,038,759,
872,773,271,153,839,925,292,872,324,194,670,226,989,997,632,630,131,842,023,
167,222,954,862,339,890,962,358,913,069,802,455,700,100,413,007,585,199,416,
916,370,743,597,911,197,981,296,603,396,418,727,950,080,972,579,198,346,591,
711,964,834,880,698,556,777,672,682,140,687,554,822,463,471,997,672,197,011,
602,540,482,952,760,525,437,689,778,291,004,964,226,193,354,509,197,226,829,
683,591,698,521,319,036,216,674,968,272,042,480,209,611,006,102,302,688,527,
080,885,502,559,677,335,079,463,956,778,895,080,693,572,432,153,729,439,219,
014,898,683,531,979,331,008,006,190,865,195,446,331,052,387,051,308,667,743,
793,344,359,270,103,149,707,250,551,635,250,846,750,870,327,318,037,803,156,
745,639,498,390,327,242,471,282,945,972,765,032,152,340,269,241,130,290,290,
139,546,834,858,409,550,993,412,758,470,860,749,848,498,262,024,522,317,716,
141,766,832,626,983,667,401,029,313,072,943,053,022,674,795,414,310,045,311,
756,080,557,852,149,810,712,038,739,003,557,910,200,399,399,550,462,267,582,
880,016,510,941,223,496,922,117,076,984,166,366,287,836,487,624,234,790,555,
910,889,340,467,107,231,584,440,976,045,996,799,689,244,739,458,726,632,709,
171,348,325,681,106,066,558,843,103,643,437,075,771,913,168,220,406,283,917,
085,802,604,502,648,093,132,637,239,776,492,512,580,711,282,556,741,727,367,
962,679,609,183,140,374,661,559,491,503,795,486,743,376,348,343,176,838,622,
527,678,095,490,009,037,706,315,061,035,917,295,088,810,218,603,109,260,842,
886,085,439,845,036,624,137,792,321,651,202,584,899,603,031,808,874,277,992,
460,383,154,795,818,873,848,648,643,308,133,709,503,033,445,065,674,126,052,
915,732,575,643,555,710,243,036,864,398,394,816,774,895,038,709,945,512,549,
315,093,840,950,947,002,945,508,470,875,902,411,266,833,437,344,934,439,860,
893,312,297,083,590,807,758,290,645,299,828,162,691,026,512,016,053,275,017,
133,130,180,759,120,390,713,465,219,189,419,573,006,038,493,023,767,366,581,
833,093,057,588,812,333,401,508,054,477,483,159,226,398,054,496,314,118,673,
589,419,653,603,168,322,389,642,013,093,722,573,782,379,058,652,112,548,814,
801,638,728,815,456,724,034,408,157,174,441,147,104,346,397,011,700,715,464,
485,805,230,437,113,017,699,524,598,118,942,752,027,318,894,288,574,397,162,
270,743,470,300,639,540,225,596,695,178,028,075,708,192,679,512,162,025,710,
309,886,566,585,497,567,880,647,582,883,283,254,873,920,014,950,108,031,399,
357,151,609,136,344,650,648,426,881,650,532,452,154,928,806,313,843,279,557,
828,227,157,130,246,589,062,563,286,158,680,744,109,059,051,842,039,181,834,
322,946,548,400,419,174,068,039,623,089,571,897,030,625,384,625,629,480,801,
672,738,924,470,167,771,631,146,847,998,250,007,921,231,901,399,308,925,438,
443,731,593,503,860,399,788,088,565,228,572,420,337,513,395,488,172,606,334,
835,020,984,274,246,544,457,851,219,878,421,079,764,928,191,134,590,023,054,
952,503,603,700,835,881,573,753,197,458,517,625,340,036,127,723,533,766,513,
024,775,076,996,570,912,555,069,133,333,498,001,360,326,064,359,791,089,487,
482,702,379,320,978,011,025,433,579,216,220,300,805,101,579,609,326,838,981,
211,864,956,927,597,192,317,857,188,509,108,709,698,778,984,739,729,001,338,
294,524,188,168,578,146,611,738,780,282,113,767,155,540,291,553,068,126,734,
477,934,872,353,334,077,595,605,848,762,586,273,402,634,763,774,801,258,441,
786,835,684,235,599,494,599,102,886,353,379,304,019,313,997,644,019,088,567,
281,156,130,975,306,389,274,201,716,088,218,900,365,679,389,804,214,067,262,
766,082,765,028,897,890,563,269,944,246,422,181,691,359,618,446,697,017,629,
833,628,648,356,460,534,752,363,109,730,732,200,125,661,024,099,877,608,342,
695,027,126,640,177,420,008,480,647,472,293,193,081,429,173,532,189,854,982,
831,219,676,515,605,822,838,079,220,073,540,372,080,430,390,075,034,139,124,
354,642,621,614,449,307,378,959,442,186,364,790,214,038,232,978,396,420,377,
258,817,497,176,120,383,409,911,661,135,035,732,462,998,495,026,024,869,312,
383,823,284,323,995,286,678,243,091,929,010,159,412,274,856,913,951,424,951,
812,988,907,952,433,353,860,433,036,046,322,128,177,990,019,473,687,182,238,
243,164,582,458,482,197,385,626,723,269,292,979,822,514,943,784,241,029,983,
349,128,286,132,717,429,572,459,785,364,964,685,338,011,478,603,417,745,436,
811,962,321,504,580,879,300,882,962,397,731,592,373,249,093,377,798,614,981,
144,039,490,937,513,509,120,243,174,911,994,068,156,107,896,256,732,691,041,
639,370,853,969,625,675,894,075,839,454,413,531,089,893,100,283,125,877,576,
901,769,608,042,986,478,372,438,833,646,528,439,867,729,263,815,724,037,348,
129,207,158,629,814,489,681,955,586,129,450,536,523,041,826,081,017,965,024,
355,242,298,095,093,923,320,788,903,651,256,623,184,865,049,692,231,674,435,
410,694,751,727,675,657,684,217,099,000,660,337,487,171,519,655,736,473,983,
069,958,567,737,324,243,825,217,500,743,527,085,500,021,893,453,351,408,021,
234,839,083,138,106,783,169,376,578,320,316,988,554,950,364,558,130,966,905,
622,221,589,083,311,041,641,187,226,416,514,341,268,986,272,195,985,331,323,
127,157,136,687,127,026,468,537,862,913,626,071,682,074,709,262,061,940,685,
579,767,445,015,141,292,917,622,133,981,120,162,810,428,700,028,063,759,312,
913,934,635,638,572,266,131,205,687,462,416,548,314,547,142,488,797,273,615,
789,316,523,501,313,758,682,860,710,592,535,946,251,977,435,485,382,092,011,
448,033,707,211,713,855,897,619,566,992,232,430,694,879,276,724,550,495,311,
083,656,367,825,162,522,838,522,849,177,528,301,538,501,086,028,595,961,988,
439,586,534,656,932,387,035,088,209,162,861,648,835,934,597,046,764,328,029,
199,880,776,229,089,314,019,974,610,663,924,550,717,627,295,730,353,642,830,
813,328,466,585,444,536,867,498,973,542,182,749,948,474,184,726,908,371,028,
008,823,487,823,964,273,907,867,745,637,201,518,725,862,396,835,587,026,755,
803,413,798,377,641,708,067,211,444,228,050,607,571,625,631,118,061,428,051,
584,140,074,315,213,400,827,302,774,001,478,792,022,299,116,483,780,635,132,
257,165,407,149,864,794,422,607,104,302,925,329,353,728,646,174,937,073,292,
477,764,286,308,632,624,445,548,694,771,500,879,303,829,132,778,365,654,856,
764,967,157,780,012,812,270,960,016,137,617,759,158,967,593,555,691,919,622,
649,162,895,197,876,948,048,991,517,688,451,221,549,447,142,581,529,699,010,
478,713,080,541,171,484,582,786,757,989,807,863,187,179,636,411,625,829,381,
150,903,534,088,279,134,724,776,538,462,315,309,592,016,738,564,461,653,488,
192,731,690,057,405,499,195,410,135,311,310,702,412,243,542,817,355,926,209,
033,771,971,277,649,115,682,532,492,243,013,176,425,989,245,921,677,169,270,
377,641,409,531,180,252,131,048,266,701,612,259,006,003,803,963,690,204,992,
812,029,323,950,365,707,052,257,315,496,990,028,390,770,269,911,345,935,055,
001,479,028,790,864,605,828,289,242,533,294,548,313,946,167,588,917,477,673,
146,067,182,936,654,110,517,565,999,600,540,155,972,318,082,753,497,422,186,
023,090,318,072,769,567,299,219,272,262,458,706,869,249,035,390,652,191,031,
415,585,313,883,593,690,019,480,350,050,884,883,147,868,168,182,171,987,378,
850,969,073,125,492,655,957,687,658,373,789,751,737,450,373,328,860,315,075,
839,243,132,779,724,834,988,186,233,030,203,489,890,792,519,442,148,623,275,
341,317,314,673,154,626,537,955,500,686,989,447,063,863,363,022,349,891,341,
982,813,891,938,864,068,037,299,636,468,448,295,056,658,099,599,506,436,542,
244,421,408,063,645,382,630,660,496,009,468,184,035,866,152,922,071,788,931,
631,568,570,885,469,608,549,601,028,685,014,881,267,856,357,826,655,804,283,
198,619,557,574,324,241,370,119,962,261,225,876,939,912,105,975,516,282,814,
392,717,847,818,892,154,722,978,963,110,657,434,669,382,625,387,171,571,006,
259,748,563,379,183,115,174,540,696,517,753,384,687,174,161,247,130,726,461,
159,467,686,777,259,281,352,940,527,579,944,048,056,642,031,209,215,003,111,
875,803,515,066,353,689,362,256,516,279,402,666,900,024,410,270,377,195,090,
500,223,625,556,037,468,863,234,582,971,890,130,652,372,745,120,935,993,309,
642,689,274,865,920,227,446,747,072,398,008,719,391,553,588,716,522,401,943,
895,180,298,419,188,207,345,646,629,475,881,310,685,444,757,625,323,544,554,
882,169,243,249,731,805,227,520,204,881,552,712,182,781,334,444,993,303,416,
295,958,348,441,319,049,675,678,817,609,784,238,705,950,954,852,011,214,227,
934,076,067,439,010,893,100,318,953,283,186,889,731,623,320,911,369,374,605,
288,892,923,634,129,466,420,320,159,661,527,261,373,478,769,815,469,287,715,
104,243,160,090,183,686,952,034,318,664,308,665,724,625,210,270,921,096,158,
298,950,159,392,076,293,876,930,026,549,628,713,419,558,498,782,702,926,796,
511,893,543,194,160,623,241,069,073,719,603,707,486,256,272,336,319,413,853,
199,696,640,433,606,992,786,400,252,155,096,330,321,023,342,712,933,795,017,
762,354,210,660,599,395,120,181,657,903,266,423,292,011,974,909,040,304,286,
309,716,370,034,450,900,414,986,883,560,385,548,702,840,702,879,469,706,084,
761,266,546,996,416,279,148,601,722,281,622,147,537,192,548,347,705,285,124,
460,090,613,793,336,105,372,154,224,696,079,203,633,277,625,907,995,009,617,
536,022,067,754,678,945,427,371,637,341,972,883,069,260,280,166,575,856,790,
132,352,658,794,177,058,676,392,061,145,947,695,370,223,045,690,213,494,023,
674,037,313,635,037,035,730,467,741,879,403,790,410,569,501,734,073,335,769,
678,376,520,414,940,001,372,068,095,520,199,834,263,344,849,157,135,992,395,
286,280,190,199,898,328,319,995,937,049,360,453,402,768,636,124,180,741,941,
479,773,416,781,748,094,733,703,253,045,191,799,168,380,338,480,442,312,802,
019,424,626,862,240,479,169,086,289,443,793,261,000,763,071,487,824,285,993,
379,924,909,710,194,471,399,613,947,458,679,922,586,884,655,433,866,506,889,
691,243,413,325,675,075,752,640,864,337,364,400,663,743,633,321,530,371,867,
836,573,169,601,760,289,927,053,211,628,462,702,118,016,454,491,254,417,600,
766,169,888,471,126,505,124,327,380,409,875,060,008,288,166,010,946,695,389,
002,851,708,603,946,884,544,805,459,271,832,514,500,855,280,086,743,724,421,
978,819,529,882,466,682,050,634,306,121,408,638,041,968,458,333,884,312,281,
248,015,264,317,491,166,351,760,414,485,741,464,688,277,336,399,315,478,888,
891,699,934,746,054,167,647,382,268,635,127,907,379,409,191,069,086,757,448,
864,796,053,167,286,106,536,908,723,915,998,403,701,153,439,562,728,263,792,
995,444,797,415,072,399,869,747,844,873,708,652,049,761,451,169,048,136,870,
915,912,775,738,306,220,283,122,452,326,552,994,850,327,160,237,354,283,001,
335,444,722,819,454,999,524,262,009,101,132,684,619,415,505,366,442,292,440,
698,754,511,425,865,947,266,809,087,973,241,507,849,245,065,798,101,959,468,
495,760,278,293,373,266,677,426,878,571,320,499,891,754,567,701,736,369,979,
565,555,709,544,721,083,584,506,897,687,626,093,617,953,559,677,376,926,495,
983,764,290,245,771,310,966,912,926,630,820,419,758,731,916,914,753,792,246,
711,460,855,572,197,533,858,175,664,756,254,222,547,928,979,885,894,746,088,
505,825,672,888,730,610,149,611,181,523,629,335,685,095,845,436,144,306,385,
507,915,335,294,371,774,022,141,029,271,503,306,453,952,407,965,796,424,107,
849,763,479,018,878,701,969,464,847,677,878,395,664,886,784,355,797,247,607,
601,362,548,872,449,374,324,437,359,212,027,845,269,918,785,772,117,040,548,
655,514,289,582,428,310,354,952,240,918,570,283,515,476,534,427,615,017,066,
091,566,950,449,308,247,467,847,709,579,502,349,060,043,488,509,069,299,422,
080,304,762,843,577,193,825,597,728,041,485,091,029,872,494,429,017,445,248,
716,471,410,622,102,804,785,534,806,573,411,701,127,025,665,749,997,297,864,
436,126,557,753,606,691,158,712,214,429,077,121,237,386,444,386,463,966,669,
656,843,572,170,631,424,333,247,110,627,964,474,267,311,372,993,705,979,059,
756,248,242,592,682,225,124,755,180,747,668,520,623,944,015,789,225,807,301,
268,499,242,771,168,470,681,987,515,411,965,814,480,202,332,265,460,548,348,
395,073,416,800,104,753,756,498,869,890,612,580,635,304,590,343,220,856,967,
134,562,571,348,001,591,780,364,057,448,688,030,152,438,462,136,065,139,455,
782,572,139,176,700,272,348,919,654,874,660,684,857,822,713,138,775,375,945,
667,875,824,139,253,811,573,359,405,986,928,013,452,959,770,113,661,274,822,
050,300,867,908,738,207,215,437,728,160,580,372,025,498,576,928,947,469,675,
394,971,761,453,475,360,487,066,159,521,495,469,951,646,391,962,635,097,191,
353,025,833,003,992,109,305,371,106,439,468,995,370,323,491,472,361,615,168,
518,656,211,907,825,575,058,159,699,070,334,066,711,157,003,609,018,546,247,
460,360,305,818,426,576,077,414,876,818,893,639,303,764,334,508,118,391,552,
051,141,600,575,230,119,935,653,655,833,506,120,289,615,100,921,253,324,329,
359,531,623,806,801,708,169,477,293,361,615,847,166,722,893,555,947,086,337,
746,972,025,513,046,248,492,200,262,117,576,963,538,675,728,512,183,427,794,
387,828,002,930,367,965,128,626,057,642,955,684,783,617,198,465,231,982,105,
876,690,882,102,810,535,841,232,378,890,254,429,470,707,516,917,283,461,161,
157,276,818,684,026,699,814,608,327,654,091,959,009,431,349,537,643,133,927,
466,823,547,992,880,410,711,939,782,316,019,337,630,997,007,815,423,429,719,
841,318,764,913,927,078,119,180,278,730,052,013,856,188,473,618,745,142,674,
862,343,709,185,282,301,934,458,646,956,023,870,068,834,919,239,347,771,568,
160,989,126,467,086,296,151,391,969,546,836,012,742,297,942,561,635,961,386,
271,879,076,550,547,358,627,446,040,950,437,298,177,564,599,848,878,151,445,
316,569,523,046,777,593,393,182,738,485,590,542,353,666,974,952,049,826,698,
963,438,613,525,856,784,723,549,468,835,786,019,212,126,414,836,620,369,023,
094,588,442,754,964,177,271,065,271,357,803,806,969,514,590,416,001,991,360,
586,624,719,807,229,751,720,196,058,772,103,752,836,478,593,868,178,077,367,
676,924,399,136,540,136,815,423,858,098,428,341,787,502,981,547,811,220,881,
399,786,012,086,530,392,961,720,532,120,425,426,661,776,349,654,042,368,320,
479,270,337,812,498,065,117,508,656,937,756,031,379,887,925,664,807,693,097,
711,819,248,653,959,301,620,004,760,985,979,955,960,815,637,792,338,793,119,
984,032,511,845,045,338,662,099,303,736,221,152,860,786,685,007,056,774,042,
206,412,688,017,826,188,536,804,697,531,471,568,892,349,545,015,235,218,057,
844,834,570,568,654,380,152,601,337,238,409,910,508,248,489,300,611,073,783,
296,238,791,162,181,202,109,081,176,529,168,817,880,339,673,831,253,566,849,
878,157,187,864,109,585,813,906,960,407,827,167,523,141,645,128,159,065,808,
956,766,696,058,394,598,413,495,899,737,018,144,272,952,960,076,044,552,402,
992,668,627,131,488,433,494,996,223,578,054,964,228,500,047,562,838,859,079,
876,605,653,309,880,862,163,615,079,212,580,450,404,583,871,447,461,419,314,
070,871,220,784,049,055,246,907,580,885,422,846,104,444,945,845,974,317,157,
216,099,493,489,730,678,164,457,798,392,519,645,277,499,118,934,117,554,633,
603,302,546,927,730,967,893,786,665,951,112,699,228,271,019,903,353,308,841,
264,643,540,579,570,289,456,955,331,120,944,552,691,886,107,909,442,860,569,
631,591,758,276,698,145,936,288,529,068,771,691,919,088,085,800,954,775,275,
794,861,429,855,749,410,484,955,192,932,795,846,911,389,575,500,020,017,722,
011,660,598,326,590,094,530,020,351,998,511,587,803,528,074,187,871,962,448,
926,746,704,281,411,144,763,646,323,396,589,587,621,304,695,933,065,438,269,
613,966,669,579,382,475,516,798,723,802,323,579,384,923,942,490,321,670,480,
301,315,044,044,824,107,988,545,822,244,656,930,050,236,780,320,814,977,411,
955,353,262,203,913,203,157,706,283,181,902,831,874,534,887,533,908,586,836,
824,306,777,995,460,636,391,266,948,603,353,076,910,380,390,298,951,970,219,
191,831,948,814,623,830,110,992,778,849,917,642,337,343,604,131,125,272,950,
021,003,396,309,293,126,715,340,163,234,044,134,529,419,228,080,334,374,549,
968,331,886,486,485,672,919,770,666,916,903,810,850,693,852,171,468,183,687,
568,513,047,132,855,907,403,611,112,178,021,845,471,948,443,409,366,341,763,
670,285,122,764,124,006,200,126,537,012,313,199,135,405,814,394,759,396,562,
910,966,506,719,158,742,821,223,167,913,034,638,713,812,143,316,574,920,912,
146,496,943,137,776,390,965,926,411,895,713,973,363,590,999,569,899,384,903,
105,873,041,770,312,437,281,469,582,967,150,139,307,685,481,685,376,610,652,
067,376,595,292,628,559,577,460,949,992,985,068,060,364,684,638,140,616,324,
699,396,919,327,066,702,089,922,580,373,107,475,934,744,734,494,680,007,655,
189,201,217,281,791,520,115,548,264,059,543,122,493,409,135,508,588,639,917,
124,069,774,814,911,772,574,914,618,167,785,327,013,590,803,427,989,092,306,
472,879,125,569,384,670,439,743,628,536,319,231,559,105,127,204,258,119,081,
917,662,734,956,445,346,795,118,384,809,106,109,390,084,472,128,028,370,984,
311,474,774,506,391,857,967,165,746,697,389,158,717,022,180,242,842,635,958,
059,787,658,672,652,245,596,297,737,525,783,431,859,882,599,948,675,328,824,
216,727,613,646,656,764,645,764,650,890,845,273,069,890,394,075,537,358,921,
859,771,767,096,573,723,150,052,377,686,148,976,733,179,424,291,945,287,576,
921,286,415,729,006,743,828,298,638,619,358,934,084,687,639,856,976,012,741,
003,564,943,932,470,900,708,640,508,136,146,441,340,929,765,955,536,421,478,
842,894,355,564,035,573,129,539,911,776,193,967,110,518,781,395,752,514,523,
513,913,582,433,739,972,618,319,625,137,984,335,658,220,104,223,969,913,528,
342,575,880,627,448,799,471,666,585,865,924,951,688,106,865,776,731,990,699,
726,391,210,026,946,217,971,677,210,835,361,179,101,755,369,445,765,973,024,
956,563,063,978,727,785,861,333,860,890,792,909,947,310,775,690,766,848,253,
344,767,589,870,653,730,626,423,641,745,866,831,444,867,711,873,459,002,853,
678,362,047,967,901,536,688,525,480,316,171,715,269,393,949,023,490,264,058,
244,185,070,823,412,423,557,267,067,738,820,610,489,600,833,670,151,798,141,
449,413,216,738,754,349,642,130,928,286,237,949,216,600,317,637,519,408,960,
997,786,749,296,446,588,688,667,822,094,943,786,889,971,687,874,205,895,322,
459,058,954,807,046,096,409,970,461,466,618,343,794,225,989,096,211,230,198,
861,274,153,888,844,607,363,093,082,407,591,362,750,618,359,753,823,338,957,
686,127,676,999,224,894,269,548,662,575,240,295,061,856,402,687,799,427,014,
415,210,777,318,978,398,492,613,799,532,148,705,296,072,466,822,177,696,212,
342,287,541,352,829,128,940,360,347,330,556,638,233,473,868,117,330,649,106,
417,592,973,324,693,692,539,495,899,605,160,865,045,151,180,565,716,809,593,
475,724,500,782,214,898,438,793,231,065,798,306,811,128,161,873,736,173,350,
312,357,017,472,530,783,067,965,579,244,404,701,243,970,380,721,296,513,668,
578,045,212,262,218,917,375,063,272,455,441,811,134,473,407,303,275,318,924,
430,440,380,894,349,281,140,869,635,597,903,245,305,859,493,870,405,275,678,
578,259,095,306,391,249,681,453,585,401,791,966,531,765,433,857,857,521,375,
817,925,971,295,900,953,073,372,014,236,013,048,880,789,043,695,755,292,363,
986,961,816,218,116,645,671,334,179,617,659,042,215,182,489,859,337,827,344,
060,408,199,878,931,813,544,085,686,354,533,987,882,114,314,372,502,403,987,
223,942,053,862,776,416,267,061,561,261,625,411,325,893,435,617,753,384,692,
685,353,579,928,501,385,221,972,539,975,553,454,433,946,341,965,500,946,727,
685,047,388,056,358,932,297,125,486,766,410,599,922,751,027,366,467,950,648,
620,929,970,416,180,312,809,597,446,395,055,240,080,822,835,706,156,939,257,
417,401,187,496,657,119,249,214,986,416,288,317,785,864,093,374,018,892,122,
955,514,242,990,360,501,359,824,497,540,974,549,581,660,306,644,502,156,683,
127,076,553,366,737,010,958,123,270,512,001,733,869,208,632,155,836,493,002,
895,655,295,827,186,308,383,637,354,228,429,279,716,601,663,268,744,367,302,
945,624,234,963,300,890,072,114,723,344,655,680,782,191,134,102,282,745,162,
050,493,579,681,626,479,127,923,655,162,701,153,368,170,811,232,974,382,658,
251,498,843,241,460,071,414,295,738,487,268,910,693,858,707,884,937,292,355,
255,420,450,145,281,401,870,425,961,162,498,705,240,774,766,610,619,482,271,
112,233,146,691,219,175,859,175,028,588,338,245,822,562,463,484,870,478,957,
549,875,537,766,880,402,804,501,397,911,002,045,802,428,609,459,546,190,663,
123,900,654,868,409,016,976,600,061,130,746,189,227,462,073,357,990,341,512,
426,810,020,846,526,428,177,781,123,205,928,496,039,778,536,375,046,683,998,
566,789,809,781,817,034,990,356,697,319,221,523,442,365,803,824,377,679,577,
550,786,918,157,939,116,586,011,749,980,361,993,519,812,316,158,429,891,042,
305,242,138,141,550,113,137,513,126,310,178,254,970,925,673,775,118,912,639,
596,252,107,705,886,368,827,408,703,132,913,213,234,271,882,267,557,967,020,
431,706,159,482,483,309,275,619,473,772,660,192,413,810,562,130,462,241,523,
102,813,375,432,307,504,584,345,554,366,241,734,376,482,669,965,784,299,108,
365,384,074,185,557,054,888,690,296,802,734,812,264,113,880,863,269,430,907,
840,119,365,820,283,175,360,343,332,451,105,312,362,040,712,129,380,092,607,
721,663,029,773,701,762,275,831,689,991,030,510,686,675,075,958,808,413,928,
361,066,117,611,246,796,457,395,739,588,181,590,287,205,076,897,183,826,203,
244,897,484,384,235,442,712,776,974,135,826,035,484,271,237,982,087,010,966,
233,918,493,106,410,353,873,095,047,278,859,350,957,883,581,483,933,332,833,
426,670,993,089,145,918,789,747,458,196,514,804,939,502,534,905,355,872,258,
691,472,532,084,228,080,339,039,168,382,061,613,178,340,739,562,920,924,453,
761,500,335,419,265,587,912,758,396,713,096,413,755,562,956,825,112,622,552,
911,659,920,082,088,594,469,926,778,545,890,175,688,016,808,048,639,857,529,
961,184,172,318,468,435,924,938,184,142,634,901,030,363,325,614,298,787,760,
824,303,019,563,957,323,841,605,741,458,012,320,625,515,740,046,248,673,476,
320,442,927,061,898,483,299,666,184,531,164,976,107,954,242,393,537,876,325,
990,504,777,099,802,201,574,121,724,259,497,898,226,361,864,581,567,188,688,
441,305,204,024,956,332,100,021,081,692,866,553,770,646,585,027,774,613,236,
721,549,425,403,127,574,615,062,692,256,522,011,024,381,523,701,093,516,375,
659,385,173,000,877,880,712,336,607,082,491,069,639,827,538,729,022,027,330,
411,576,272,576,807,193,803,619,042,901,060,002,979,505,097,009,291,545,960,
493,329,922,128,001,154,620,493,262,585,948,603,348,994,126,736,144,193,967,
010,703,490,337,735,927,890,638,462,517,267,213,817,157,248,858,324,902,428,
741,647,099,705,215,229,222,595,939,163,097,110,978,359,615,915,795,830,630,
351,391,322,977,495,929,325,586,370,310,831,055,568,300,134,379,902,304,367,
912,605,898,872,356,390,344,419,755,036,978,892,812,536,701,768,395,200,886,
470,113,289,824,503,621,782,317,026,701,530,481,649,175,709,616,401,744,829,
296,099,837,523,261,129,564,469,673,642,632,183,722,153,221,994,847,360,742,
857,044,477,027,882,627,522,828,035,513,370,231,335,691,682,811,892,914,073,
293,536,514,682,577,076,075,394,637,871,287,325,606,017,320,809,959,526,585,
016,565,689,388,837,677,952,465,938,214,057,265,495,121,555,430,017,151,028,
270,733,756,550,534,980,270,381,210,319,986,310,736,878,226,066,938,589,516,
005,504,216,636,645,421,082,911,227,446,626,254,954,286,606,957,319,185,687,
553,376,407,150,083,493,367,630,380,073,782,716,616,846,896,039,180,139,369,
649,215,715,385,953,274,694,549,503,302,344,706,144,914,206,016,156,777,128,
686,289,568,171,734,428,369,507,302,911,402,046,439,819,149,373,051,391,142,
595,726,634,463,079,586,658,012,930,273,880,137,157,021,604,125,745,548,708,
825,110,639,464,618,910,466,804,178,888,774,015,086,042,410,997,134,014,161,
995,903,511,387,937,872,173,804,078,866,975,049,646,106,298,076,452,273,575,
644,523,502,669,161,833,352,824,499,504,176,298,638,870,526,768,218,575,113,
478,791,374,930,937,303,131,141,703,075,176,165,865,923,114,276,863,901,101,
360,793,753,026,008,249,547,963,752,283,186,939,486,302,045,916,963,874,774,
027,596,935,639,948,438,181,293,146,222,358,772,080,923,995,673,756,063,323,
937,437,234,114,750,279,517,388,735,962,998,488,573,523,169,263,027,847,785,
255,588,563,995,139,626,230,479,494,530,417,981,487,905,668,536,932,198,167,
991,418,327,963,919,886,628,512,954,385,897,411,088,986,814,118,590,385,198,
030,576,086,667,379,131,410,065,282,412,916,202,447,556,833,427,274,910,328,
662,397,035,054,148,573,639,202,081,885,294,661,884,105,679,186,721,539,752,
219,869,032,027,190,130,176,362,849,349,843,496,580,116,108,209,123,619,337,
254,965,580,646,212,436,986,180,837,885,376,243,439,101,043,881,581,005,213,
865,225,085,241,401,456,794,443,911,620,004,488,039,498,805,635,405,149,265,
350,184,732,615,653,892,505,472,649,673,955,969,851,728,405,529,926,474,783,
765,662,388,763,025,565,139,940,807,528,551,430,356,504,279,158,503,769,079,
403,926,481,967,057,578,015,740,793,703,765,706,906,299,962,647,628,428,383,
582,829,835,045,100,462,660,027,282,267,039,426,742,207,398,249,212,201,900,
141,223,944,932,822,511,737,298,850,614,202,149,430,653,117,533,755,981,506,
560,716,939,219,527,334,049,820,101,018,856,016,500,834,922,168,566,072,282,
908,816,412,065,503,483,420,088,813,102,584,963,039,682,506,188,956,009,692,
565,363,348,164,110,708,673,557,757,559,904,237,027,450,627,772,487,654,157,
525,185,823,409,920,859,732,739,665,875,086,568,279,829,010,012,676,111,901,
553,940,226,395,227,777,613,072,403,369,681,056,793,404,907,199,902,570,800,
924,286,093,580,151,539,530,740,434,137,099,144,194,368,184,573,465,061,299,
697,675,071,584,629,556,032,795,058,133,747,563,343,993,279,310,162,114,467,
029,750,527,631,580,359,484,523,980,057,660,427,443,032,285,740,015,995,181,
486,962,144,139,600,525,444,848,847,382,260,693,653,339,886,501,929,154,692,
496,114,190,835,254,101,614,183,613,869,172,549,538,215,702,631,328,209,667,
711,991,798,430,196,505,770,605,079,234,608,455,693,299,930,266,309,986,494,
460,068,303,198,001,356,394,144,848,120,555,378,885,371,303,414,655,504,235,
222,829,926,950,474,829,557,643,152,861,862,355,287,692,458,697,865,336,339,
857,443,214,359,524,681,118,985,222,647,219,294,891,325,965,968,538,289,751,
069,431,769,648,075,144,491,528,473,011,276,422,862,223,979,948,597,150,629,
013,614,189,290,298,819,514,133,675,882,105,887,729,484,220,143,626,432,368,
170,507,564,685,687,389,222,548,463,704,226,550,056,912,849,831,911,310,909,
041,878,848,786,104,867,413,590,578,086,713,250,044,310,416,009,513,063,286,
056,103,548,118,301,820,296,077,139,213,251,137,917,607,924,609,823,004,366,
760,329,403,981,594,353,316,614,545,518,897,132,917,771,752,857,080,465,638,
637,233,624,955,999,251,244,308,619,227,186,443,883,113,242,565,601,065,770,
667,420,920,654,403,232,175,765,765,202,236,524,397,283,865,694,102,855,342,
572,966,945,711,101,351,720,093,983,022,882,317,600,731,791,641,979,349,101,
204,863,861,408,694,428,492,753,736,680,739,173,507,146,916,534,390,966,873,
734,366,461,509,909,845,177,252,500,359,120,940,022,163,195,020,007,474,699,
800,663,395,391,758,615,296,527,046,539,923,078,691,022,780,552,236,095,456,
810,775,510,315,464,384,011,624,018,080,668,720,617,691,928,136,290,348,109,
142,087,436,956,595,378,999,361,300,841,088,585,124,196,801,707,781,208,270,
369,434,024,452,593,456,441,971,288,316,399,571,499,291,065,522,735,458,896,
624,292,234,779,184,927,867,895,279,601,166,826,910,691,640,204,225,645,575,
250,704,900,263,107,689,873,593,123,298,822,088,463,355,631,152,675,008,805,
770,384,189,219,167,696,819,273,955,600,465,457,544,410,204,859,224,896,032,
619,001,422,286,554,150,617,058,392,131,751,924,397,317,123,408,001,187,813,
867,394,266,405,556,282,928,546,600,430,804,294,338,181,102,234,402,360,133,
823,365,690,169,658,112,792,938,597,895,792,730,919,597,127,764,418,977,316,
220,343,389,275,191,790,204,220,398,501,555,107,521,086,527,091,101,633,098,
127,855,398,575,730,618,024,672,203,012,042,619,124,545,084,154,707,087,019,
787,739,318,425,185,868,731,568,675,455,400,999,449,329,366,849,232,014,925,
185,559,747,015,263,879,203,303,989,845,812,773,631,977,204,518,011,801,686,
837,361,792,798,671,599,447,956,213,865,261,623,523,302,055,836,660,170,619,
445,641,573,357,254,757,838,981,689,449,475,759,353,649,692,195,047,464,439,
908,197,607,995,302,651,895,853,286,318,262,377,130,417,771,907,464,361,554,
599,802,514,181,477,819,535,293,145,804,957,683,140,517,885,607,418,742,384,
649,866,569,282,450,145,831,286,194,482,974,017,172,969,395,906,958,267,419,
133,705,919,593,753,775,323,939,864,451,300,299,620,967,113,498,184,528,720,
088,217,453,721,171,711,472,448,669,917,990,254,980,740,526,016,230,247,928,
131,156,607,226,476,395,951,233,610,636,385,461,679,034,818,125,298,905,084,
887,184,712,703,044,558,303,865,679,404,914,053,611,307,053,861,291,397,307,
226,607,114,539,371,325,243,604,634,699,610,437,914,318,820,188,066,067,682,
675,658,269,069,437,313,750,793,357,085,568,145,950,330,162,328,654,953,254,
455,727,343,102,153,968,605,337,410,589,882,068,831,123,006,365,673,654,341,
144,164,154,457,902,333,584,895,834,592,130,036,010,163,879,883,977,201,004,
903,969,514,178,655,770,578,446,512,492,701,636,625,396,886,423,791,591,966,
408,009,741,800,730,374,684,504,384,695,478,412,637,404,412,382,462,735,304,
488,116,022,813,378,932,907,960,462,446,497,074,931,122,149,918,596,603,111,
976,432,284,132,002,705,535,958,370,420,427,470,171,448,951,293,533,695,555,
270,009,195,325,040,656,485,047,443,682,731,367,163,462,116,364,223,645,722,
815,096,635,885,687,745,003,196,516,744,972,649,888,172,458,143,661,023,538,
078,478,746,335,848,337,741,244,650,248,794,917,398,921,233,231,760,199,213,
389,989,755,823,496,667,483,716,917,395,637,590,110,475,776,619,692,705,712,
455,520,114,412,355,542,182,130,376,251,045,176,792,510,356,168,047,822,940,
307,783,624,230,414,355,754,216,244,925,566,513,687,989,636,191,115,605,889,
770,536,964,837,893,860,569,189,031,373,047,650,297,844,823,256,991,161,848,
392,232,436,911,973,669,800,842,980,338,930,702,583,121,388,263,987,561,039,
442,010,763,957,165,419,086,433,295,766,383,199,675,087,078,219,180,697,303,
860,673,764,736,245,323,860,429,246,682,691,705,211,624,663,852,374,842,297,
316,412,021,579,930,911,370,561,838,088,356,319,432,183,173,728,666,696,800,
147,161,192,771,505,938,361,095,062,314,107,783,441,572,615,895,768,978,984,
513,695,652,422,134,218,593,580,085,512,056,393,155,202,269,879,185,702,457,
402,270,123,881,869,434,850,134,112,751,070,155,151,241,973,647,855,031,434,
880,057,608,265,631,512,341,454,596,682,271,461,865,934,298,631,829,980,544,
981,820,888,893,916,361,502,668,700,810,298,545,591,710,196,041,777,546,366,
785,129,069,078,914,623,087,140,322,786,981,610,508,769,438,774,174,079,418,
517,035,150,322,859,525,126,610,902,080,859,861,980,714,052,029,360,555,880,
823,496,366,589,272,950,779,852,853,839,602,361,897,814,487,359,300,819,647,
937,816,410,629,660,514,828,419,944,330,923,439,803,505,867,679,063,771,553,
468,703,673,239,674,620,639,418,817,587,316,487,762,928,132,805,124,044,446,
051,641,728,322,045,517,156,363,362,646,571,730,830,008,835,495,113,207,222,
665,717,732,047,391,750,410,256,662,820,257,588,640,329,777,599,246,193,236,
548,269,904,436,556,613,492,472,638,706,987,318,991,855,395,106,405,639,150,
920,075,914,066,608,487,940,119,882,376,288,781,292,221,603,924,115,967,564,
572,971,729,402,940,398,785,889,443,707,933,204,194,467,907,104,163,599,995,
950,848,351,777,712,358,948,030,703,115,688,682,541,029,077,698,416,648,010,
396,323,076,407,072,868,116,698,321,604,641,118,607,740,646,748,215,908,126,
832,447,372,966,151,283,876,663,691,431,928,517,352,727,864,104,800,780,624,
562,143,173,829,596,062,763,063,145,822,675,327,895,107,075,356,025,465,778,
098,863,115,371,239,988,949,306,157,873,664,760,856,251,444,652,721,039,107,
815,523,772,379,693,617,611,844,057,310,909,855,660,035,560,019,999,933,003,
225,950,809,778,919,937,208,417,255,205,267,344,667,225,005,769,771,290,329,
922,105,065,487,192,703,633,361,555,094,040,240,476,778,198,620,030,732,593,
181,623,253,978,740,075,733,633,455,632,299,730,442,521,433,119,857,244,138,
616,642,601,730,706,212,888,968,059,848,308,090,667,051,010,611,833,671,591,
212,771,095,361,500,413,119,652,394,134,680,802,042,471,616,269,044,201,688,
102,347,035,049,246,781,774,333,371,353,265,176,267,915,757,358,046,200,511,
207,220,290,515,119,435,622,349,000,836,678,567,717,543,902,655,320,657,521,
020,032,840,938,070,279,562,481,796,096,893,708,236,541,938,694,258,794,758,
830,817,145,116,623,114,386,809,993,625,102,744,591,459,651,818,703,164,909,
113,965,854,501,054,059,531,003,345,203,412,927,813,948,462,847,580,065,467,
293,289,702,315,156,867,748,455,259,456,205,256,987,389,616,947,219,309,677,
388,160,019,962,871,590,489,616,746,723,811,135,977,757,580,892,126,112,836,
926,940,197,961,948,375,349,215,686,698,590,305,437,681,926,361,766,229,756,
163,266,865,894,538,941,737,549,559,332,599,812,606,783,579,857,386,035,697,
535,995,617,389,891,627,688,716,778,320,380,552,480,685,023,425,974,472,388,
258,717,877,058,048,781,938,525,981,410,999,624,706,708,958,433,044,892,840,
417,004,549,822,452,471,392,241,415,916,174,524,561,337,680,831,937,733,691,
063,400,744,710,209,333,350,905,044,817,603,907,950,115,065,172,128,875,217,
090,360,025,438,501,537,299,394,416,217,153,858,355,672,208,381,212,896,379,
416,664,999,744,036,619,480,266,275,467,887,097,718,073,998,825,285,464,124,
719,989,988,351,526,189,813,398,705,676,094,086,733,505,054,656,034,996,609,
412,606,747,941,856,916,580,320,005,003,914,424,140,041,157,218,293,548,021,
717,873,320,312,119,640,699,181,216,379,143,406,779,524,835,107,970,097,566,
342,210,705,572,040,085,396,438,414,396,273,882,464,149,109,657,122,122,999,
697,207,298,908,834,507,996,989,157,131,903,269,253,496,992,176,801,571,929,
476,913,177,401,238,027,161,702,292,809,758,222,435,421,518,876,629,486,128,
883,284,599,599,265,400,063,509,640,922,603,641,795,629,414,822,985,153,066,
303,151,951,810,089,932,472,224,348,161,906,064,884,700,545,683,347,072,679,
821,346,901,376,741,591,677,881,113,438,619,308,493,080,845,909,601,975,066,
514,470,374,734,710,061,458,189,067,448,869,869,988,446,417,379,911,225,031,
266,983,783,062,174,158,925,956,645,024,059,051,680,915,086,197,154,329,015,
118,104,661,493,099,004,505,014,237,727,666,520,808,527,322,974,721,062,113,
634,885,108,401,255,860,585,088,561,251,950,798,013,842,698,137,663,561,427,
338,706,557,161,316,914,986,804,010,901,160,362,459,773,576,103,393,114,252,
228,511,070,037,182,468,377,742,439,671,477,016,372,870,078,262,611,259,884,
596,449,580,290,987,938,600,705,501,095,448,693,687,697,078,298,395,174,477,
198,668,963,561,684,741,130,830,645,687,728,079,015,643,749,571,911,461,367,
986,682,706,488,841,957,183,509,633,980,457,967,873,234,309,896,748,216,411,
100,251,103,330,627,274,871,083,914,523,702,093,052,172,388,816,442,815,662,
015,884,926,018,741,432,847,906,333,092,020,181,673,234,596,557,014,703,526,
213,541,360,389,632,809,480,256,178,870,245,541,467,038,501,513,706,402,999,
570,149,051,963,976,140,578,808,466,118,108,995,440,096,937,736,532,860,274,
946,793,793,515,737,739,910,687,971,599,799,620,864,334,582,575,817,324,295,
290,113,840,709,374,166,485,277,379,097,870,088,095,285,368,336,963,561,872,
313,147,870,303,125,052,701,383,342,334,761,622,051,891,295,281,829,167,321,
324,842,374,783,583,043,066,615,790,850,323,673,494,963,131,700,101,163,410,
640,206,824,493,770,209,318,766,419,399,087,683,126,687,433,685,138,833,477,
236,286,393,337,539,087,939,189,248,322,879,863,155,831,343,685,576,197,261,
981,054,773,193,617,967,251,872,425,653,897,327,577,886,339,645,297,879,553,
296,600,267,640,573,013,720,679,612,396,945,917,413,121,126,235,199,822,750,
270,128,199,581,470,494,486,036,418,597,557,576,754,454,400,537,650,924,967,
109,820,185,039,788,216,399,010,674,369,979,755,062,648,755,171,040,209,572,
294,133,654,727,203,708,765,976,450,024,338,962,371,459,569,652,580,569,276,
267,783,364,124,342,004,758,245,133,850,665,839,447,444,370,853,263,017,782,
224,697,272,073,622,940,009,434,981,088,191,135,358,517,231,983,176,683,536,
963,201,320,869,166,103,722,530,539,973,512,572,161,986,844,749,102,724,387,
432,915,791,394,122,178,950,339,558,763,857,031,895,937,258,505,636,448,164,
907,988,255,972,053,701,900,126,892,894,793,575,913,854,017,185,636,066,519,
564,946,287,858,941,845,009,231,034,792,712,366,053,622,606,228,574,360,551,
705,777,157,573,105,263,232,340,791,097,395,824,461,100,979,891,353,718,263,
251,953,587,466,025,809,407,572,755,972,473,568,248,747,101,428,931,458,805,
874,535,830,774,870,709,941,238,063,682,850,229,036,122,684,338,644,286,126,
712,208,956,481,651,910,559,055,354,055,433,782,860,810,542,881,176,962,755,
787,038,756,650,838,804,862,549,640,025,511,675,587,659,715,535,484,568,152,
689,194,300,108,168,657,164,551,364,060,806,754,792,339,074,424,107,832,295,
788,305,881,942,274,819,204,694,881,627,793,065,907,096,911,990,784,531,771,
531,170,356,795,761,032,362,474,173,274,814,915,994,729,483,541,133,890,692,
944,342,192,322,974,342,041,312,540,985,577,892,715,982,524,814,025,265,353,
048,240,237,476,029,143,501,973,784,075,687,517,610,759,604,109,274,998,692,
932,652,292,906,765,353,486,503,766,822,611,669,032,092,480,582,467,747,303,
291,881,402,196,296,439,451,163,541,090,357,204,553,538,968,959,147,161,300,
873,789,501,743,199,116,944,352,399,930,790,995,472,900,948,891,247,595,267,
523,259,014,103,123,732,815,574,661,584,950,769,622,019,888,742,362,939,916,
937,051,251,811,599,413,154,367,633,009,700,030,247,911,903,503,259,976,562,
907,770,768,622,978,210,785,605,875,806,819,844,246,271,852,906,735,245,626,
461,732,373,441,220,273,427,305,053,301,676,433,033,241,784,381,478,159,992,
636,799,224,101,852,750,500,539,382,294,118,628,600,886,933,574,820,380,083,
476,096,701,273,758,480,574,591,025,241,132,360,436,500,313,395,333,168,446,
527,712,130,808,530,013,535,873,801,008,608,699,552,562,077,281,440,213,630,
248,944,900,177,668,744,079,740,600,693,656,580,723,900,414,115,393,057,232,
221,706,607,511,569,459,713,471,855,322,092,771,522,414,854,706,567,500,134,
361,463,076,125,477,360,100,530,036,232,729,934,964,014,687,821,330,562,760,
027,172,061,199,710,331,068,993,829,872,365,892,453,718,174,777,289,619,284,
310,892,648,223,581,077,488,744,400,895,640,840,227,896,066,321,107,129,978,
199,566,975,171,453,028,157,601,544,301,872,690,475,539,989,587,085,485,309,
334,378,125,372,722,401,904,163,609,874,082,110,173,033,924,448,258,096,913,
929,870,645,362,162,476,280,032,938,700,334,569,759,061,383,708,144,506,982,
608,455,133,417,924,671,068,844,951,071,177,908,190,820,403,126,073,570,696,
933,331,279,111,136,433,877,831,673,624,312,298,852,854,790,756,111,242,025,
527,229,377,422,075,367,330,057,187,970,598,516,049,375,090,513,015,939,086,
691,121,464,164,280,901,916,540,015,216,627,516,717,415,024,997,674,405,190,
810,486,502,068,617,507,186,778,759,078,815,630,790,151,217,208,350,350,774,
377,149,959,788,443,425,905,705,720,732,476,762,404,168,124,508,993,471,441,
485,628,544,235,463,077,185,876,946,604,476,475,402,163,610,419,322,196,413,
238,739,672,653,841,728,942,430,527,434,261,489,002,068,908,827,914,665,326,
960,774,604,799,031,548,685,525,482,207,226,120,966,609,393,522,107,308,602,
465,681,775,813,904,023,141,408,372,609,327,532,651,335,209,190,527,550,084,
602,906,050,282,260,247,306,607,570,996,798,504,039,305,099,852,129,191,256,
201,972,359,821,456,026,589,439,747,543,718,699,524,668,629,923,421,195,728,
220,878,412,394,886,204,519,339,034,572,289,703,282,789,885,721,140,911,091,
306,788,824,915,999,537,141,509,152,124,774,757,178,420,147,532,291,543,741,
221,425,030,398,502,982,359,234,505,030,766,070,090,284,855,563,958,625,420,
575,723,637,074,715,421,105,288,534,994,769,506,952,355,759,617,581,452,514,
517,648,167,932,693,760,584,467,509,443,057,793,616,410,669,361,967,641,677,
365,821,573,618,767,620,547,212,792,649,485,508,654,087,317,645,855,415,989,
080,469,020,319,842,679,917,066,625,713,490,525,093,411,839,772,246,746,887,
669,393,380,318,692,032,632,800,111,190,270,123,827,074,966,267,016,258,380,
974,296,400,838,903,578,443,823,011,919,566,985,241,543,328,774,949,201,643,
399,371,967,696,025,846,511,759,188,060,942,575,453,294,557,035,592,466,191,
505,049,774,524,510,587,956,153,074,570,282,029,835,496,155,088,696,969,781,
376,006,399,911,033,146,737,176,086,579,740,231,562,800,551,062,532,241,091,
393,124,723,739,430,494,057,549,783,960,476,433,736,731,597,831,742,777,880,
499,622,788,361,612,065,993,031,448,123,094,193,848,163,818,810,965,710,040,
100,605,520,049,896,959,542,404,879,954,757,127,571,649,190,409,290,909,562,
946,605,056,151,874,666,647,968,036,884,028,570,164,622,652,788,355,455,994,
885,489,224,119,190,643,532,967,005,408,974,206,220,074,298,006,499,746,484,
689,743,848,508,521,708,058,885,144,263,155,269,945,119,623,815,829,837,225,
460,298,915,970,660,192,612,554,998,933,663,255,651,843,527,385,654,601,139,
723,805,267,930,017,468,252,798,027,682,395,212,278,204,769,796,401,058,108,
101,913,059,178,229,532,970,747,324,079,000,851,291,239,414,427,473,290,714,
948,202,411,285,239,524,892,537,007,928,908,444,596,843,056,987,705,705,436,
444,834,821,608,462,306,271,310,907,610,164,008,150,825,781,439,910,282,998,
120,077,273,415,633,781,362,575,508,821,488,020,112,910,438,807,119,305,404,
506,391,401,191,777,404,590,942,869,548,295,762,675,278,821,242,300,945,147,
652,672,887,587,573,628,052,050,112,279,906,638,767,470,848,795,689,870,744,
906,791,744,393,091,851,392,063,225,367,187,368,753,456,981,577,584,112,976,
019,847,814,240,454,853,160,143,339,047,796,729,923,057,311,230,523,194,639,
167,271,915,805,143,988,271,342,830,065,957,635,979,106,514,135,884,811,679,
350,535,413,332,867,631,576,511,020,215,423,309,364,157,702,817,114,716,294,
994,367,052,785,130,682,524,030,640,048,430,016,933,180,963,023,085,565,455,
729,954,862,640,671,182,342,127,258,429,769,709,116,319,376,747,451,121,694,
170,347,731,059,202,254,095,793,952,658,886,692,129,237,404,447,424,632,752,
459,093,245,270,981,420,874,632,805,418,288,846,934,448,678,619,586,054,593,
933,277,306,693,093,354,108,220,853,222,194,763,615,138,618,237,541,427,503,
639,287,660,910,302,322,003,175,570,158,203,541,805,013,843,361,272,576,478,
410,689,709,889,685,605,191,697,006,841,390,264,380,562,501,210,905,623,552,
405,676,673,598,727,680,155,836,941,004,855,289,162,162,039,334,435,404,948,
498,389,662,971,200,060,717,089,194,988,288,060,306,620,495,084,732,368,704,
685,834,731,999,105,804,313,274,091,136,633,441,738,903,728,911,177,954,263,
394,775,429,931,392,852,773,883,166,571,383,400,064,485,525,401,419,254,604,
396,996,732,298,742,515,473,786,322,575,683,805,731,584,229,676,154,842,683,
005,651,057,953,927,194,048,480,132,593,868,980,460,692,329,990,964,429,841,
252,817,974,956,351,836,061,671,058,581,348,505,002,177,116,763,713,942,008,
589,439,482,657,518,935,828,341,782,790,335,707,477,734,082,039,389,055,917,
051,324,451,823,389,554,761,327,247,498,740,158,704,660,646,470,885,428,061,
873,663,500,173,478,004,913,299,129,639,477,543,332,108,059,630,393,305,203,
060,630,298,163,795,563,924,047,601,667,612,377,637,550,443,926,304,028,253,
102,119,087,612,137,449,075,361,881,782,716,873,963,953,801,413,590,654,264,
945,424,282,245,081,649,147,674,531,361,875,765,361,449,916,375,437,678,245,
850,951,755,882,813,693,233,338,656,662,945,585,287,872,632,485,586,499,607,
602,243,664,160,046,453,999,380,325,562,301,455,958,493,335,486,649,895,089,
694,483,228,350,911,236,092,168,458,514,755,341,668,135,399,011,712,516,007,
634,515,896,109,947,672,994,825,755,791,225,421,241,726,199,592,874,038,965,
039,038,366,427,986,079,750,028,996,274,810,852,697,018,512,839,436,460,073,
618,163,530,190,031,663,164,902,086,095,967,212,089,714,065,876,614,631,804,
437,069,802,425,304,981,619,429,989,386,815,699,158,185,728,967,876,411,069,
695,928,944,227,956,896,144,663,507,770,048,515,505,392,395,127,800,907,940,
364,170,250,184,847,250,793,278,064,822,833,431,610,528,227,281,214,694,789,
327,786,181,688,421,315,872,869,973,037,241,248,646,569,449,535,067,054,105,
377,768,487,131,460,980,007,842,220,248,636,317,506,418,508,496,302,402,385,
397,201,626,030,326,535,648,438,221,484,179,200,176,647,547,697,297,206,463,
261,626,489,894,030,057,430,773,546,027,689,807,844,285,595,118,575,091,047,
959,157,969,656,253,320,896,856,736,419,899,265,737,846,204,756,950,837,123,
755,720,340,322,448,599,393,024,776,960,071,739,779,217,227,779,319,580,792,
550,669,655,250,516,466,950,289,286,880,650,203,248,581,498,317,319,484,880,
615,637,109,568,254,089,387,435,398,121,136,661,602,381,094,739,558,215,110,
038,944,213,983,794,885,500,314,837,964,026,291,221,453,870,790,059,455,641,
083,332,856,821,236,453,119,235,136,297,034,818,708,435,323,532,287,951,008,
400,724,890,684,475,363,623,314,842,428,703,620,792,424,498,732,762,908,549,
249,418,090,491,349,154,859,570,375,583,875,490,629,180,431,215,598,256,422,
760,345,335,050,161,812,086,676,986,407,406,441,285,267,624,372,359,459,274,
903,656,121,813,456,604,705,227,757,220,544,398,580,277,198,314,356,197,436,
776,455,773,906,472,369,792,142,491,701,579,992,501,385,617,414,253,802,890,
983,930,984,844,955,085,244,531,734,413,457,023,387,329,764,303,372,782,600,
465,294,818,225,791,597,002,658,645,238,680,666,939,926,228,879,482,097,443,
007,083,879,147,877,651,684,214,396,590,773,253,415,628,213,994,131,654,995,
148,404,121,947,252,443,958,003,117,845,367,557,928,550,216,246,032,464,184,
342,411,233,858,721,807,324,489,598,493,945,930,845,288,959,078,149,530,918,
854,613,251,272,819,161,011,222,506,324,073,538,893,756,355,281,208,904,885,
602,760,184,112,291,746,067,343,287,547,641,933,803,602,620,191,065,964,667,
424,869,554,357,780,996,609,742,429,251,347,861,760,363,434,531,190,837,621,
465,289,014,918,707,086,915,536,604,213,948,093,584,684,017,491,580,675,230,
832,018,265,264,109,713,054,347,548,051,579,875,527,804,593,022,703,942,258,
108,141,010,972,902,471,693,697,064,076,203,254,993,530,712,392,716,003,919,
892,419,035,019,638,778,450,440,267,695,203,672,053,883,703,315,389,727,088,
289,252,701,477,709,337,583,977,178,637,219,433,274,558,115,348,246,470,997,
916,463,195,815,891,504,849,152,632,082,263,799,755,557,651,653,628,468,424,
506,499,499,395,646,045,583,386,045,633,065,417,768,158,817,653,226,620,964,
991,819,851,018,440,413,960,120,330,743,422,846,290,628,647,555,289,788,523,
315,510,575,297,899,365,351,425,270,222,741,088,424,775,891,808,130,054,417,
437,446,462,941,910,914,759,184,283,730,287,685,824,177,251,441,907,326,807,
153,499,520,294,494,229,482,625,269,812,048,761,216,832,103,185,452,014,032,
380,428,056,525,703,009,560,416,794,666,216,406,784,701,515,545,872,185,715,
129,544,154,349,126,536,585,140,065,908,179,175,702,752,554,342,677,962,665,
026,161,000,701,875,777,445,736,183,018,772,276,775,067,931,374,618,487,324,
245,811,010,554,361,402,479,183,761,097,201,180,423,570,238,431,488,677,034,
610,573,910,695,953,505,153,722,942,153,450,787,143,406,364,726,326,759,781,
832,310,124,271,061,877,508,936,822,649,858,600,988,208,622,891,801,838,712,
668,350,784,097,401,260,694,214,276,270,717,882,253,809,896,388,819,822,298,
050,923,463,915,037,927,852,976,756,579,140,497,249,852,069,249,868,077,305,
558,895,990,414,972,963,466,948,243,936,297,150,262,192,359,907,312,291,611,
576,670,923,472,278,696,776,259,390,212,058,626,555,132,398,527,505,351,959,
730,039,743,553,966,214,183,718,654,311,015,242,147,102,659,866,358,582,295,
917,644,777,010,005,926,510,679,151,130,973,885,944,407,383,927,844,965,081,
748,636,893,267,183,417,998,953,267,844,424,928,162,964,593,844,289,596,446,
052,863,886,387,646,536,523,975,208,464,588,026,976,392,328,731,708,926,267,
457,161,481,228,302,430,338,657,665,534,098,079,789,996,512,814,493,906,913,
628,905,221,718,398,230,520,073,580,327,057,181,336,413,362,916,345,923,265,
223,076,643,110,895,013,847,771,261,232,431,158,298,469,085,954,509,160,702,
420,049,769,676,791,251,896,841,143,057,343,309,908,355,646,285,037,027,639,
084,453,701,874,018,834,061,603,107,796,755,472,593,195,338,869,709,666,917,
656,376,416,138,244,832,475,669,737,227,622,533,967,856,013,905,766,621,862,
201,652,585,935,262,293,468,129,015,799,510,417,969,766,459,390,772,283,305,
631,619,234,606,598,356,556,392,755,509,560,677,914,640,926,008,931,302,137,
844,222,482,447,411,156,022,476,480,997,731,538,249,319,613,115,791,042,451,
577,602,678,190,087,212,172,781,507,548,940,429,913,429,007,587,464,302,084,
999,277,016,334,155,832,130,757,991,258,982,349,569,504,511,588,678,095,050,
001,923,904,314,340,152,590,155,172,359,892,782,664,072,473,581,345,710,500,
262,071,682,592,371,244,719,326,290,999,810,470,780,529,237,549,805,776,088,
870,693,112,479,480,214,525,618,004,234,707,240,704,256,411,701,264,013,601,
851,700,364,488,234,541,982,861,944,422,692,435,187,478,245,054,794,362,987,
041,911,407,070,042,694,702,533,270,866,950,279,396,062,222,222,135,611,890,
653,856,581,128,015,802,548,386,653,019,373,180,396,654,404,334,279,303,980,
606,096,706,684,408,208,696,271,914,537,680,763,820,030,483,914,860,684,647,
296,300,854,646,502,602,733,350,473,169,936,512,567,497,161,683,981,011,834,
753,056,554,099,375,480,163,562,731,053,590,718,342,867,910,392,014,108,263,
327,634,213,208,368,969,001,004,404,743,532,929,322,885,797,467,087,672,955,
842,164,574,391,378,384,644,716,416,359,753,582,657,741,953,479,482,104,903,
256,455,229,684,462,879,735,281,221,164,880,711,595,488,900,967,250,852,890,
950,276,283,371,929,701,661,060,063,035,235,908,762,829,298,993,291,243,809,
825,797,406,565,210,455,373,909,682,769,649,305,972,218,197,712,514,378,288,
394,981,040,691,444,880,401,113,528,317,936,164,996,711,248,094,922,305,998,
586,568,918,617,457,763,455,699,075,686,069,033,673,480,484,508,764,830,316,
996,681,473,516,679,870,096,440,838,706,541,017,887,894,117,236,845,050,410,
963,758,083,496,473,773,138,139,490,102,774,101,627,302,139,641,521,919,987,
591,907,594,829,330,823,678,295,289,064,464,041,657,415,160,871,761,294,509,
937,183,123,270,051,606,923,252,522,475,372,811,521,875,926,444,227,708,979,
042,807,590,758,325,563,208,868,519,942,294,408,931,524,979,484,699,706,377,
659,049,062,194,780,159,188,017,978,827,404,598,436,674,341,838,121,262,035,
886,706,216,447,726,373,792,852,077,499,085,349,487,241,334,356,157,030,455,
617,130,581,654,479,577,297,333,479,030,596,053,334,708,144,965,831,540,865,
494,493,378,424,138,055,769,987,495,147,031,462,148,439,749,199,057,280,509,
176,501,695,309,837,763,538,698,638,212,329,379,818,875,128,812,255,430,324,
397,733,632,339,808,025,859,869,809,412,591,055,059,656,222,238,116,744,396,
816,534,462,689,869,447,848,831,615,210,449,428,747,460,638,284,077,300,463,
150,976,158,475,919,952,564,960,701,636,671,101,224,477,736,438,382,855,325,
159,881,140,013,440,682,923,221,459,068,923,829,200,861,884,565,268,376,872,
173,803,274,201,220,663,305,164,890,772,803,745,005,868,250,313,924,647,684,
386,546,172,688,622,398,659,128,248,711,497,172,952,949,896,910,023,823,995,
538,352,874,037,310,694,973,665,666,533,635,515,199,503,484,500,225,425,059,
246,372,622,953,914,229,882,148,946,119,739,430,946,754,394,843,995,035,317,
134,472,643,780,616,231,209,214,036,257,250,045,203,147,910,228,119,003,808,
264,193,361,626,996,932,867,985,851,054,472,463,108,999,778,656,446,036,297,
426,617,336,319,056,812,761,320,059,020,811,034,627,991,239,807,980,135,763,
878,962,465,274,846,316,157,765,160,652,906,024,514,975,797,190,593,918,618,
584,980,352,518,328,731,930,285,302,367,472,661,460,120,934,746,459,534,868,
211,120,021,352,410,683,990,452,286,096,725,606,601,456,065,253,045,556,554,
258,439,723,664,402,602,247,388,101,770,453,532,895,564,264,902,040,205,407,
642,555,081,384,914,387,201,877,425,900,515,978,345,915,293,422,438,392,834,
418,020,084,734,209,519,734,556,872,068,487,028,957,706,169,222,227,635,627,
634,386,695,996,443,312,949,394,946,143,349,705,659,614,849,560,044,571,677,
021,807,191,012,775,078,383,296,295,668,531,762,455,343,574,936,539,499,470,
872,566,531,561,063,697,311,167,003,823,200,779,306,502,028,769,570,977,772,
533,320,155,038,487,600,173,551,609,686,310,645,496,560,575,893,551,586,482,
438,125,479,432,456,180,289,422,376,503,012,923,094,297,330,524,828,653,690,
832,216,496,083,710,962,018,735,996,670,680,257,601,019,398,214,346,042,715,
217,980,681,867,862,524,359,559,755,448,667,935,641,543,638,697,357,489,924,
367,270,276,547,042,226,560,447,492,690,327,590,904,677,158,016,017,345,313,
968,632,853,433,122,864,471,340,901,678,252,471,145,421,489,182,055,760,293,
171,673,941,660,639,478,483,381,850,369,047,236,150,916,723,169,013,024,087,
191,335,686,881,369,193,338,616,451,028,080,294,921,884,054,211,553,957,943,
034,155,476,634,771,848,915,964,421,758,128,707,173,824,088,156,204,705,364,
144,053,462,301,169,841,716,042,181,567,451,243,882,470,881,886,095,521,530,
850,301,002,032,831,510,918,144,979,724,701,348,287,799,088,602,921,799,684,
858,751,380,361,218,947,855,258,218,035,526,366,991,139,161,417,006,608,829,
819,146,140,988,710,261,545,239,655,061,168,858,303,678,076,783,857,193,634,
054,022,056,812,258,897,800,070,867,180,032,053,625,046,487,824,213,543,106,
700,760,184,468,118,384,710,532,656,640,018,411,924,803,696,703,813,771,093,
549,722,441,047,463,832,368,475,945,776,652,438,175,136,136,342,067,389,596,
871,995,376,811,130,932,005,135,431,244,840,415,433,363,095,990,260,778,772,
461,330,298,913,940,669,899,635,250,750,412,979,589,651,546,122,256,774,299,
886,890,301,543,379,385,648,471,316,379,965,883,521,468,857,842,808,739,523,
316,049,179,767,150,747,529,054,050,314,956,794,749,131,344,514,383,938,282,
047,387,627,863,572,886,159,555,683,348,838,401,198,419,452,877,111,762,947,
026,266,627,555,516,853,086,549,669,550,845,043,703,245,937,732,860,956,174,
845,790,447,043,599,669,134,805,243,861,351,734,764,620,634,916,350,525,428,
653,729,693,606,054,363,631,011,834,364,838,086,488,643,645,230,742,935,622,
925,477,537,819,251,707,212,357,889,401,593,621,496,667,725,522,410,024,698,
953,370,912,589,065,083,204,827,734,361,689,448,067,102,288,253,455,764,865,
363,974,875,086,078,260,904,766,679,319,956,081,399,462,980,366,982,329,484,
981,859,074,737,985,522,597,894,554,004,255,485,655,100,304,677,719,345,517,
710,236,066,550,665,383,858,650,060,658,892,917,904,374,546,748,695,973,711,
883,630,609,263,612,546,611,097,014,380,239,272,784,600,007,324,608,791,612,
002,265,492,571,747,448,509,078,736,332,914,457,713,341,792,404,813,618,673,
152,030,999,665,253,047,356,285,844,043,510,538,220,644,967,048,872,946,533,
049,814,943,531,832,286,968,961,571,915,762,088,814,886,226,751,362,666,800,
756,197,144,008,529,954,871,216,174,057,937,974,983,607,358,179,464,544,914,
488,976,074,623,287,220,045,476,848,981,284,172,788,592,585,528,942,351,981,
684,352,696,897,834,835,949,936,830,221,170,621,694,686,445,948,978,761,389,
953,825,091,471,326,650,019,906,954,117,927,631,664,354,636,596,686,733,694,
396,163,037,826,504,876,699,165,475,387,088,512,249,807,658,242,018,680,174,
640,913,596,878,196,662,290,563,094,502,199,443,451,946,300,691,275,089,364,
018,787,016,380,983,676,437,194,677,082,411,386,369,385,136,731,402,113,488,
716,977,741,844,750,453,353,100,154,442,870,954,936,279,484,323,392,931,606,
725,439,769,586,767,694,241,448,002,983,025,752,984,257,994,541,980,627,506,
621,570,032,223,654,824,148,357,695,952,206,708,828,022,399,217,021,869,083,
521,634,313,857,112,961,148,511,684,236,426,809,207,497,225,395,324,565,236,
658,404,329,200,373,205,720,071,846,691,975,464,243,072,835,607,692,524,613,
848,026,121,299,589,766,498,182,687,047,257,461,498,661,283,270,766,148,142,
264,405,322,455,016,729,423,914,753,105,628,867,888,844,827,184,554,998,115,
327,136,307,781,091,738,180,404,246,398,909,895,723,144,412,162,783,894,673,
699,903,471,905,982,278,026,769,975,337,120,221,697,804,362,864,553,770,584,
648,809,997,599,139,818,735,625,166,647,093,536,722,586,454,684,032,294,943,
216,404,601,723,949,560,379,101,241,528,116,775,026,109,224,383,694,731,593,
281,267,674,585,566,218,609,890,600,146,014,452,696,561,047,329,178,241,783,
216,813,723,459,413,625,129,137,416,033,435,937,488,531,738,202,861,739,289,
098,858,300,412,262,760,127,776,195,151,155,379,107,125,923,149,913,176,848,
722,878,094,033,972,738,246,156,546,425,679,432,508,044,763,444,231,694,765,
781,962,868,450,709,801,133,577,142,492,059,395,761,269,382,639,274,534,760,
772,584,252,481,687,304,011,579,422,264,817,375,824,320,369,431,167,740,140,
666,278,007,518,677,298,132,030,157,051,466,297,969,205,087,457,122,899,609,
974,870,967,174,918,951,182,551,632,973,209,954,676,135,276,985,280,710,229,
367,261,762,103,697,998,124,754,425,469,356,166,797,983,166,135,330,555,456,
765,288,015,682,751,413,766,957,644,889,522,155,643,452,805,432,778,988,012,
343,755,221,042,136,466,130,774,664,257,105,507,703,207,310,218,974,816,392,
664,776,412,222,485,808,556,583,090,770,484,089,564,701,459,925,517,155,095,
058,726,726,328,389,853,393,921,850,277,341,374,869,381,768,374,336,116,753,
388,239,196,624,299,434,156,251,823,397,603,785,164,382,176,717,625,251,083,
963,650,771,949,448,085,730,982,271,589,992,494,632,181,883,439,124,756,378,
283,322,244,351,912,833,695,199,502,921,253,043,795,381,746,345,959,571,431,
826,493,238,753,460,501,964,213,599,051,422,310,119,219,002,241,217,682,025,
726,497,651,482,383,622,402,289,750,878,256,765,647,258,541,094,982,213,080,
785,091,281,123,682,828,957,175,980,641,761,254,946,473,033,614,691,448,879,
943,708,907,881,363,529,950,764,349,536,149,061,744,861,138,196,456,887,257,
280,896,826,527,533,999,972,599,691,850,963,733,255,742,995,943,457,555,426,
762,093,536,253,895,861,041,586,995,536,985,118,535,950,365,150,029,226,912,
026,965,395,632,573,107,345,475,561,689,675,500,790,448,279,834,172,960,398,
914,877,698,977,782,543,041,044,164,779,842,923,373,990,623,220,484,371,177,
854,926,139,696,636,824,681,262,952,440,823,005,936,574,879,273,600,008,376,
189,258,469,863,696,938,428,349,475,745,025,175,930,675,523,903,400,513,303,
202,266,582,132,790,957,971,227,499,974,098,904,822,109,912,745,182,831,677,
586,003,836,656,138,610,863,206,474,923,568,416,279,852,379,028,996,881,071,
320,258,609,107,589,061,213,168,803,766,982,271,011,740,071,234,634,534,284,
292,795,449,833,773,868,648,659,398,788,552,968,815,758,108,244,653,166,454,
637,753,321,221,656,508,334,240,658,105,068,812,295,212,330,287,756,315,821,
753,724,865,133,188,399,965,465,849,550,450,389,502,036,327,138,348,856,151,
554,871,639,994,054,696,546,394,206,387,481,878,443,576,084,041,955,386,782,
967,800,323,746,424,581,478,975,035,824,641,330,932,787,446,987,786,141,702,
379,958,212,267,025,099,454,748,201,994,686,656,722,043,329,381,131,932,154,
299,479,372,032,789,232,411,679,414,232,267,943,963,261,693,235,710,221,040,
938,356,183,199,100,403,941,315,278,407,267,081,976,034,813,405,919,026,479,
148,756,371,551,177,217,689,492,360,867,492,901,573,293,330,732,955,832,551,
261,560,043,862,245,432,182,319,871,733,958,464,578,073,356,918,047,586,637,
927,060,007,643,620,992,971,623,118,894,112,403,250,910,575,252,844,432,623,
991,305,636,519,180,692,915,750,749,292,776,829,786,372,872,504,321,269,807,
830,850,196,891,901,248,032,865,001,638,690,006,163,824,110,967,419,121,325,
181,615,791,079,117,861,402,723,038,252,622,296,567,025,499,137,375,174,367,
136,448,332,662,564,068,440,172,588,437,360,174,685,851,964,564,751,822,640,
533,223,251,904,970,260,292,483,684,013,311,779,901,526,725,728,537,966,731,
536,803,471,205,884,351,126,841,918,764,634,344,987,674,857,754,268,355,124,
587,426,720,228,669,215,036,308,327,885,303,817,270,230,068,636,430,039,883,
961,552,221,372,158,012,686,355,032,478,581,051,626,333,467,965,324,166,604,
586,522,018,328,978,364,741,156,209,804,840,519,004,101,860,159,416,502,903,
909,380,715,183,756,558,235,522,792,135,017,773,667,780,920,493,054,330,396,
612,613,547,166,299,780,151,772,126,960,608,114,988,757,923,316,141,739,350,
086,692,676,704,204,253,636,750,890,790,009,055,593,797,760,404,288,168,307,
227,698,633,999,033,348,682,542,029,621,995,395,625,405,644,494,130,935,463,
938,197,626,733,920,500,204,007,748,820,630,693,237,560,701,923,160,375,748,
355,439,299,322,208,743,382,092,003,451,885,970,527,424,641,904,501,819,125,
032,784,500,424,781,566,750,721,964,232,644,024,925,072,683,226,277,973,360,
408,399,826,934,866,402,247,448,237,690,295,892,764,915,605,384,253,632,585,
427,113,663,812,811,434,961,132,729,113,611,950,416,671,614,890,574,225,958,
361,062,360,460,629,177,972,068,450,684,777,640,729,159,145,251,923,203,401,
650,925,545,634,959,408,690,759,157,814,883,718,451,439,255,804,657,341,111,
557,042,747,926,006,552,054,940,223,730,100,706,784,784,420,642,659,473,802,
307,675,073,459,208,114,021,090,418,894,503,530,712,077,088,267,743,848,187,
626,683,995,736,296,775,119,187,501,432,166,009,483,471,012,974,284,583,019,
473,917,107,646,794,711,664,741,952,754,360,859,469,716,608,981,658,857,754,
625,238,185,630,221,210,509,859,509,586,524,893,672,167,742,515,854,976,504,
177,466,496,481,856,605,612,764,952,761,801,073,186,286,323,452,940,066,304,
817,406,426,152,505,853,426,070,377,025,143,435,682,118,652,201,235,607,652,
820,966,829,243,818,285,043,581,140,358,650,042,886,032,801,535,841,974,097,
882,157,373,542,227,504,731,009,094,775,465,875,517,317,517,252,780,073,766,
981,931,578,272,729,493,892,269,256,647,332,223,155,310,765,985,882,847,520,
444,708,421,875,642,700,961,111,064,070,794,906,355,090,561,757,164,566,145,
002,731,219,213,141,822,538,035,911,732,794,196,984,448,879,863,164,231,374,
869,532,793,708,823,787,544,546,622,509,893,749,530,984,531,210,538,977,068,
777,934,313,928,839,691,156,247,161,894,969,277,854,953,558,565,346,651,833,
077,406,570,435,577,888,190,615,302,869,582,794,921,935,075,586,014,732,361,
700,165,694,314,705,513,301,055,258,399,813,158,609,698,459,564,340,046,930,
213,715,841,656,236,602,035,671,603,500,483,908,361,201,305,478,962,653,701,
740,373,723,117,350,220,112,989,390,856,894,000,972,981,619,322,635,576,092,
810,160,551,954,359,823,650,370,815,235,297,348,918,729,668,328,226,268,500,
142,058,890,665,704,926,285,045,196,188,548,909,214,800,823,894,126,825,343,
456,492,074,460,162,016,551,946,132,816,183,664,633,603,088,161,933,905,491,
861,120,980,258,786,516,226,831,621,866,253,139,607,862,404,667,867,619,772,
493,546,503,771,393,650,463,056,326,753,424,084,529,853,409,899,787,099,797,
254,370,277,076,543,638,483,672,932,410,968,375,280,519,327,727,750,206,197,
985,426,299,398,341,582,791,467,816,774,898,285,172,867,300,876,753,478,165,
287,461,803,694,499,516,813,355,608,754,010,452,742,073,176,126,567,387,566,
369,225,509,262,337,145,940,205,187,982,499,535,741,911,890,150,213,738,265,
330,994,925,641,175,806,381,523,535,948,341,034,538,694,225,234,453,854,636,
334,172,373,371,657,945,150,931,716,575,350,834,460,988,120,134,496,866,401,
764,150,573,263,351,666,051,409,455,877,823,526,709,993,661,490,843,327,158,
019,334,332,125,946,892,854,631,743,395,780,897,900,892,572,222,522,054,296,
425,411,615,047,347,518,746,888,977,195,183,210,218,366,898,822,738,000,983,
781,175,026,811,817,519,629,015,564,142,750,801,274,395,607,462,443,920,550,
614,471,300,533,813,749,517,194,234,712,748,735,157,898,881,185,782,571,590,
089,136,864,762,556,576,783,578,819,288,393,641,265,719,527,540,045,514,101,
569,944,826,094,799,540,119,018,032,659,006,942,870,327,604,878,000,567,876,
280,959,109,067,354,238,777,338,030,581,237,280,130,755,930,689,274,240,875,
813,601,466,065,520,901,113,843,391,418,949,520,179,390,974,291,581,419,036,
680,179,285,382,208,917,216,365,788,202,008,572,137,404,191,286,956,306,189,
012,865,879,892,183,667,659,875,078,693,138,681,059,572,523,666,522,838,225,
652,138,440,997,493,495,395,862,041,645,905,674,000,709,082,016,081,229,384,
430,393,516,235,620,736,899,988,231,551,850,295,390,188,600,874,409,641,268,
725,038,246,625,159,790,066,905,041,931,372,383,122,342,977,335,737,835,366,
044,782,704,097,945,388,605,642,249,705,263,914,656,629,791,606,129,085,172,
676,744,391,011,512,768,348,968,859,004,005,317,132,094,350,743,631,499,841,
017,156,169,606,940,810,833,945,572,494,724,101,349,912,071,117,765,560,166,
585,589,344,210,855,981,083,095,486,753,019,839,519,908,372,714,479,359,261,
261,481,490,387,133,636,102,060,096,436,538,839,757,308,702,905,869,071,134,
569,969,976,785,413,244,119,440,809,903,318,103,676,859,117,635,497,382,967,
641,129,496,526,051,526,506,727,245,661,028,131,175,008,971,409,811,420,691,
577,970,493,040,721,985,510,220,121,163,782,368,654,424,099,864,302,169,359,
717,931,693,483,359,731,823,627,293,400,832,133,231,896,665,069,341,962,699,
741,809,412,577,905,608,895,256,117,073,951,135,312,882,268,506,706,037,135,
538,325,926,360,066,842,719,147,876,681,625,985,047,645,336,756,009,882,991,
296,885,543,621,206,612,729,353,668,232,356,207,431,781,119,501,980,313,080,
261,981,253,433,378,650,303,738,490,754,671,040,501,694,555,536,879,686,036,
584,439,329,318,898,386,167,288,603,701,948,409,230,880,215,681,325,853,634,
453,585,842,160,553,428,492,060,732,733,877,237,619,908,742,154,777,019,351,
592,641,281,952,219,607,414,737,260,050,094,743,065,552,222,401,584,572,555,
594,324,100,490,195,466,159,310,743,568,872,882,957,099,259,260,609,453,027,
472,531,734,925,772,611,928,378,422,627,177,225,924,533,107,449,258,056,450,
761,739,019,314,493,444,783,673,367,541,588,254,385,419,082,169,466,068,732,
426,314,008,215,032,410,637,592,580,275,187,133,267,616,312,595,004,750,667,
746,754,178,302,124,407,544,282,995,462,176,690,562,989,420,529,356,228,837,
289,142,299,776,800,506,212,809,800,831,616,190,036,817,227,724,664,074,610,
119,384,364,320,318,216,376,170,319,696,365,003,620,038,098,075,372,540,395,
604,082,563,644,454,624,822,314,176,273,463,329,054,238,934,716,971,742,583,
680,162,571,844,605,215,031,078,684,311,867,129,047,657,127,534,465,611,448,
012,317,202,365,480,713,603,953,360,107,985,486,474,484,292,437,916,550,010,
756,787,153,899,689,624,550,108,327,025,749,768,986,083,582,107,922,869,343,
567,374,489,702,173,481,222,130,148,481,604,435,528,109,666,948,739,773,111,
110,066,730,356,040,553,835,030,716,207,112,193,201,748,855,707,799,043,478,
846,141,640,140,105,636,141,916,133,362,757,303,311,196,434,638,410,725,015,
453,704,279,183,726,749,855,268,825,491,302,042,241,130,106,411,119,476,160,
775,105,225,420,769,480,482,597,876,060,989,465,852,385,379,193,492,867,469,
583,456,607,881,621,625,359,822,935,300,903,542,489,652,665,958,672,310,090,
434,833,167,841,392,354,083,743,209,170,917,601,635,991,703,603,199,060,104,
602,303,647,109,253,402,221,920,682,893,478,765,723,272,914,865,451,132,846,
599,039,553,253,604,118,873,039,524,742,116,708,636,913,872,457,062,330,197,
553,982,949,569,411,947,600,352,591,370,717,140,321,476,634,181,704,411,216,
743,830,148,053,919,010,245,763,106,705,717,261,921,312,759,746,436,553,914,
967,796,080,384,113,926,376,568,570,715,803,320,018,359,177,355,040,816,393,
915,548,234,394,855,403,630,093,627,432,329,656,576,051,269,995,290,449,005,
868,303,543,413,813,446,399,563,224,221,251,428,362,602,964,098,800,455,727,
795,692,584,819,251,694,527,954,898,749,883,108,011,697,590,739,216,250,727,
067,619,979,861,331,747,451,446,820,487,654,267,304,974,993,476,959,812,102,
398,593,029,520,655,931,578,227,420,973,917,060,197,214,110,479,224,168,086,
444,003,984,964,868,395,287,116,031,444,446,432,563,833,701,968,069,074,630,
614,765,534,467,907,944,977,948,324,355,408,241,655,677,037,302,145,741,557,
062,252,428,224,342,934,869,991,085,235,022,030,977,823,806,258,887,999,945,
224,345,249,593,740,692,682,464,413,180,420,000,961,521,920,912,795,361,841,
088,512,984,361,992,176,869,476,807,294,872,082,227,759,542,097,599,522,410,
172,312,272,697,776,244,096,320,865,324,941,219,040,176,597,347,309,197,292,
855,146,644,184,111,313,313,987,980,494,196,975,358,117,884,739,620,164,462,
057,839,069,368,184,241,989,896,156,571,602,346,188,599,562,155,399,237,024,
381,232,614,810,599,047,691,759,777,201,298,087,586,090,328,456,842,723,555,
465,604,823,462,913,781,227,905,026,541,189,250,596,953,795,612,566,442,421,
187,529,528,622,521,856,489,232,856,105,340,761,128,862,301,456,825,290,690,
771,274,757,560,941,856,043,986,984,801,258,732,108,347,710,384,908,684,899,
887,834,123,812,256,811,733,366,353,907,390,908,918,580,371,028,741,155,069,
369,110,815,524,200,025,255,644,500,224,771,904,700,628,684,074,548,997,266,
886,436,952,061,938,756,415,163,737,755,703,932,278,181,978,758,509,195,710,
201,450,453,412,699,216,994,459,722,220,310,869,117,256,988,129,719,481,685,
785,217,715,840,228,463,038,014,666,752,203,705,800,833,995,055,737,157,206,
231,475,386,658,225,249,610,712,899,164,935,793,738,330,772,196,481,201,062,
217,792,810,103,427,802,055,346,676,359,016,338,913,813,323,256,695,218,066,
702,220,705,207,650,996,801,515,642,660,564,113,556,661,357,523,678,131,726,
599,220,197,192,324,905,734,732,794,196,580,339,286,039,962,935,608,248,073,
588,351,251,231,225,979,922,553,512,838,558,114,983,165,168,401,309,134,395,
376,966,822,052,936,845,727,604,813,291,808,042,143,686,223,734,345,325,413,
172,088,977,031,290,976,184,180,007,044,187,286,987,513,053,524,796,189,800,
011,648,398,230,293,158,632,758,587,551,771,154,404,117,403,628,333,345,375,
422,364,728,187,510,352,263,478,924,192,192,767,688,081,635,414,623,604,193,
319,108,201,765,308,265,999,048,602,406,366,673,002,699,431,087,454,878,384,
152,568,005,684,884,670,971,232,330,516,074,517,477,213,549,754,709,788,595,
522,934,535,910,642,874,541,291,645,929,611,399,589,198,864,309,796,441,393,
813,650,535,004,212,399,614,940,581,352,946,873,953,808,990,470,838,294,005,
995,746,840,002,828,950,254,386,461,211,229,911,279,994,963,220,881,430,117,
687,645,437,043,111,122,103,996,110,656,528,287,435,369,182,605,563,745,937,
075,113,197,761,512,321,382,036,190,436,321,924,374,757,731,339,285,936,421,
573,557,216,062,870,022,706,386,691,125,169,074,223,229,974,802,449,101,861,
602,138,523,404,489,219,892,179,431,180,271,408,294,105,093,077,324,457,898,
288,158,922,426,739,295,681,859,560,594,216,821,727,876,794,729,162,445,813,
424,954,338,429,917,956,054,067,829,147,468,647,764,454,682,141,055,291,796,
800,905,958,253,273,876,199,461,661,967,731,704,502,440,735,127,052,097,127,
014,304,633,172,346,024,319,024,888,569,499,897,137,902,548,046,674,706,311,
683,890,514,323,552,629,701,789,175,677,950,412,594,361,093,337,204,502,910,
010,716,284,734,840,593,169,059,127,916,257,634,513,778,480,036,390,955,455,
708,433,219,001,827,207,024,109,145,892,189,603,874,903,959,848,790,156,690,
093,864,579,681,538,303,088,137,278,476,092,324,202,162,470,483,348,942,614,
624,212,244,630,248,515,701,353,036,554,655,833,415,481,506,052,328,593,041,
181,753,129,631,569,752,077,811,852,030,765,821,433,527,462,740,824,291,226,
868,992,313,024,837,554,552,856,320,556,441,016,890,991,823,836,922,748,263,
236,186,370,725,862,468,022,223,430,409,478,875,051,239,558,535,382,491,630,
037,111,120,018,644,609,755,866,289,726,043,968,151,768,196,074,871,237,686,
358,607,139,425,663,943,626,057,523,838,700,889,324,111,490,627,795,202,091,
283,881,567,943,617,735,245,146,669,956,501,880,915,762,498,150,579,202,590,
686,209,458,183,843,956,443,485,859,332,324,217,695,442,329,743,329,155,799,
431,054,470,085,665,955,617,122,677,709,124,906,664,736,638,087,871,600,332,
435,624,524,099,768,342,443,553,494,578,509,932,227,453,072,704,822,039,070,
267,937,446,610,936,896,374,899,975,042,590,210,670,739,185,227,991,222,836,
065,639,662,229,902,269,684,325,664,102,635,609,589,391,050,307,599,013,440,
914,758,484,598,546,999,456,521,600,482,763,566,946,120,953,020,008,588,045,
636,936,843,347,940,660,991,477,380,903,922,579,369,697,191,081,264,655,097,
054,810,624,045,757,506,666,292,763,527,177,751,093,952,159,038,554,658,476,
328,981,433,649,344,810,796,599,994,579,868,016,364,029,024,733,612,848,451,
957,792,821,252,497,970,620,982,304,051,141,437,247,706,180,261,459,505,723,
480,361,223,101,343,362,153,593,985,304,890,991,715,483,261,884,539,000,262,
735,752,081,401,392,344,616,329,803,231,876,897,530,079,890,776,029,486,275,
574,240,749,441,437,990,101,118,538,293,091,624,126,525,465,729,791,896,819,
575,655,131,737,903,654,158,696,473,332,292,427,146,965,443,157,531,326,332,
605,393,301,659,835,389,475,177,082,946,426,510,674,957,238,375,699,027,887,
947,519,963,916,344,095,775,635,578,426,871,602,822,435,684,519,638,161,866,
679,084,368,152,461,917,922,902,155,339,124,493,753,497,230,949,629,199,718,
366,677,159,410,214,598,539,056,869,592,394,175,589,439,812,352,322,717,795,
633,586,999,475,455,004,523,828,329,380,414,014,190,456,087,631,147,699,873,
949,094,877,250,736,562,974,938,753,919,177,218,855,446,630,605,794,667,403,
221,527,696,342,747,145,536,292,735,304,618,702,600,604,120,149,897,669,645,
273,076,457,750,437,678,587,250,058,206,729,859,643,973,439,664,507,799,637,
184,013,591,817,465,304,713,451,698,368,301,354,595,280,203,299,091,673,428,
474,058,135,624,590,089,306,526,074,787,998,400,755,545,767,187,494,281,790,
534,433,689,279,526,592,862,589,463,312,602,722,379,459,386,571,778,041,085,
409,042,851,649,442,777,149,569,926,832,950,453,524,904,321,955,862,771,346,
911,715,428,693,216,415,652,692,863,805,991,938,531,804,507,709,590,712,880,
820,408,617,716,845,793,711,583,096,111,084,045,098,926,749,769,187,158,038,
475,282,101,062,477,478,687,280,112,455,048,534,624,645,931,795,679,480,870,
393,056,020,607,616,287,441,551,068,520,104,796,187,215,624,999,203,876,641,
392,640,838,711,088,114,237,157,970,265,206,632,808,597,735,333,931,322,299,
090,868,064,318,983,267,484,095,066,142,709,515,661,871,005,966,764,136,310,
285,336,209,814,069,623,886,986,597,816,645,888,702,001,324,337,204,831,704,
914,566,697,107,742,522,032,124,938,074,672,272,179,510,469,042,059,981,627,
713,969,676,002,503,492,865,450,092,426,631,808,086,450,460,356,526,172,938,
728,913,520,647,895,470,291,521,212,007,534,694,665,635,474,061,995,878,081,
065,468,117,771,673,564,347,378,617,707,666,378,629,098,647,145,386,611,675,
868,149,248,154,959,924,616,227,845,011,828,647,652,231,414,907,228,018,245,
151,415,943,998,546,038,336,636,172,628,140,056,752,267,383,054,807,884,677,
211,715,926,291,351,958,374,153,353,630,706,645,384,475,577,162,740,537,833,
371,613,984,108,750,288,738,821,219,320,996,374,491,427,103,730,665,361,975,
426,180,525,644,256,524,633,595,060,891,200,557,895,526,274,444,509,505,641,
917,295,749,183,867,252,128,745,571,741,641,389,633,614,850,056,847,464,402,
494,564,165,518,016,125,270,663,714,933,260,296,664,186,273,185,972,231,772,
356,877,411,906,756,104,639,488,587,141,225,580,694,143,226,398,224,932,166,
060,296,450,454,370,915,896,279,171,227,908,405,441,193,606,330,323,968,807,
020,811,201,107,874,971,949,885,286,847,863,817,669,453,110,785,690,523,656,
350,937,659,800,701,306,582,595,527,506,827,799,794,956,271,100,989,413,424,
734,805,710,382,622,413,404,377,303,581,721,979,151,038,971,701,706,982,293,
526,611,955,004,462,106,096,829,075,155,709,237,934,481,533,539,353,160,889,
476,886,629,094,944,214,211,995,965,837,270,253,150,996,123,785,692,710,035,
015,390,258,026,610,236,068,459,693,175,476,120,917,387,226,890,888,086,329,
143,840,303,272,387,088,130,677,381,435,723,044,135,035,679,813,613,516,771,
843,153,608,105,570,309,603,098,717,097,655,210,586,490,861,038,042,541,449,
134,671,360,722,199,162,814,327,847,364,083,560,567,564,724,712,618,785,739,
241,991,666,740,908,220,805,215,071,881,992,409,272,679,333,709,002,027,606,
551,372,273,067,490,235,391,069,640,822,892,021,627,538,519,353,173,622,400,
513,896,668,295,629,682,228,562,111,721,531,237,032,333,563,192,418,304,527,
616,296,641,008,301,789,252,781,038,530,701,902,968,343,335,323,588,626,862,
500,389,134,017,863,973,555,056,490,552,375,864,224,903,830,579,580,618,507,
898,849,819,710,827,055,682,268,351,000,283,257,756,620,580,931,493,493,076,
108,961,222,239,490,317,308,155,487,952,674,368,924,515,998,323,607,588,450,
053,140,382,213,080,987,472,189,953,491,548,477,093,899,393,574,654,877,300,
357,739,505,156,388,247,213,241,842,537,162,269,670,464,312,957,431,943,193,
537,187,344,685,440,091,818,460,301,578,198,276,669,021,927,766,823,932,758,
224,741,074,387,487,545,344,620,312,573,011,575,735,375,094,214,314,525,601,
391,903,222,020,777,625,262,671,817,437,503,512,873,523,158,124,094,992,073,
883,763,883,430,707,105,600,005,997,936,114,522,435,084,927,825,548,719,177,
222,694,922,355,956,242,427,266,676,649,941,913,184,614,104,992,041,180,509,
522,024,614,129,614,872,854,273,616,390,088,532,648,542,544,698,661,608,200,
600,367,260,163,749,859,700,379,392,916,301,250,346,492,671,209,003,332,034,
811,258,665,797,637,068,005,422,850,221,452,411,330,105,449,197,886,803,886,
013,127,422,536,212,725,932,508,006,053,602,758,223,076,849,270,084,619,145,
945,575,276,172,445,057,217,184,997,656,789,740,144,491,759,171,303,978,438,
603,489,675,758,044,315,933,436,848,898,959,888,109,991,257,270,555,408,891,
461,907,425,718,078,574,033,496,100,408,160,372,792,132,905,103,446,055,357,
201,100,268,754,538,035,217,372,067,396,050,912,060,935,414,242,823,562,290,
149,869,265,500,509,611,678,432,125,002,401,880,386,101,984,869,675,368,117,
754,889,479,582,492,165,021,489,991,401,893,834,056,655,371,202,789,344,271,
929,179,531,662,306,711,923,383,420,346,177,125,215,335,405,960,877,365,698,
795,942,509,224,768,598,183,111,960,238,253,321,488,613,726,497,730,997,054,
865,520,626,378,372,860,375,711,264,403,313,212,830,894,865,609,960,985,830,
874,417,433,641,016,351,134,640,346,237,283,361,585,051,631,230,000,582,930,
647,396,357,248,550,286,057,407,353,259,390,548,544,278,869,990,472,942,950,
785,960,556,315,074,145,401,297,364,140,779,268,733,055,356,142,507,564,765,
130,654,115,375,870,456,712,376,473,846,853,336,705,439,797,719,175,297,104,
856,769,849,659,050,163,265,168,509,573,211,869,057,025,333,180,829,720,117,
925,763,417,204,983,288,415,737,376,132,753,250,563,105,705,773,983,862,878,
158,844,704,026,410,882,265,370,253,100,859,228,647,637,647,363,231,891,538,
938,722,669,551,826,878,478,874,571,189,385,038,481,265,416,453,911,232,091,
614,703,742,081,120,040,096,413,599,479,671,059,651,400,546,168,897,579,901,
932,899,913,581,931,794,338,002,695,554,813,402,164,316,620,815,896,503,997,
498,893,917,123,939,260,707,840,102,497,590,699,865,521,149,465,572,891,902,
729,907,950,507,829,567,909,057,518,298,163,234,843,710,152,463,731,090,483,
097,289,488,825,516,970,502,607,712,397,031,454,774,151,544,225,371,529,042,
819,080,621,308,347,053,558,908,659,246,645,883,813,541,654,129,747,088,148,
086,869,772,693,455,637,660,457,837,936,725,631,024,255,547,774,462,356,667,
933,036,541,053,365,617,358,252,204,041,679,204,987,233,140,533,446,210,380,
706,884,098,678,468,654,501,213,384,095,525,518,740,347,498,430,038,601,352,
233,385,651,127,307,790,683,615,727,439,177,713,915,593,771,454,657,185,973,
258,190,313,924,461,148,604,125,298,039,008,466,078,618,940,692,031,569,953,
314,081,887,421,468,104,073,510,785,328,335,928,552,539,651,462,806,493,827,
631,319,381,889,495,620,354,088,556,725,595,253,407,479,509,943,316,975,932,
620,933,207,694,753,975,845,696,503,979,823,150,823,655,275,140,491,598,781,
111,368,790,632,835,202,714,820,628,590,757,347,461,685,533,474,950,370,236,
607,196,984,642,347,214,341,424,299,991,316,986,698,934,578,535,661,742,787,
901,038,607,624,072,538,629,990,546,849,437,820,942,672,529,205,465,530,541,
200,723,685,159,558,507,450,362,064,458,980,852,044,607,847,669,036,585,107,
087,757,669,036,274,865,896,556,987,917,066,725,139,171,429,465,046,144,422,
176,350,764,775,738,804,720,382,116,964,497,442,492,556,281,005,228,307,937,
343,113,543,020,320,244,830,026,714,348,841,837,605,454,161,810,502,289,722,
703,958,915,067,114,987,723,448,560,177,466,529,939,293,080,566,716,942,659,
493,381,400,254,887,459,459,918,071,455,187,449,360,137,211,151,199,004,726,
590,432,145,517,433,016,176,704,757,498,137,450,640,279,842,492,571,412,500,
457,358,317,258,191,094,869,888,847,875,723,492,643,948,569,479,684,180,515,
031,384,987,194,168,487,000,721,774,091,360,437,809,911,155,746,331,064,718,
848,756,907,209,814,620,930,709,029,021,352,768,427,927,875,782,947,815,453,
689,931,745,461,531,531,861,776,667,222,214,351,196,927,324,918,192,397,359,
816,648,238,026,631,290,972,685,629,751,539,670,244,491,819,159,032,283,597,
231,879,474,029,007,524,688,342,112,047,636,979,512,762,623,899,148,780,859,
933,443,519,107,125,284,328,569,816,659,757,611,985,707,748,883,480,277,806,
346,837,646,996,343,148,617,077,176,755,458,934,352,813,845,410,690,322,122,
194,995,290,143,141,224,147,774,996,623,423,538,863,536,100,465,956,999,355,
682,718,071,329,527,489,788,553,167,419,854,235,333,990,141,812,468,925,492,
857,585,587,756,720,329,616,600,953,414,561,863,918,018,586,303,762,352,683,
585,762,497,056,439,172,852,051,221,916,584,592,938,713,382,714,504,170,267,
139,548,982,966,974,062,979,883,034,340,184,864,318,789,120,236,829,573,073,
572,816,218,057,909,985,834,817,511,179,171,582,322,714,207,271,199,211,871,
431,700,341,788,930,969,519,725,282,436,014,415,051,542,764,938,955,125,131,
074,342,286,731,058,158,427,472,018,322,413,972,937,154,064,430,062,992,311,
542,638,132,250,046,723,900,627,034,674,054,375,047,461,329,390,804,829,790,
634,727,405,816,030,430,202,541,701,738,547,624,186,478,989,889,816,653,999,
824,176,326,847,393,151,873,868,270,855,637,000,429,910,883,014,157,651,120,
288,215,637,020,960,044,528,806,079,893,250,310,068,956,844,241,073,211,720,
910,214,490,288,930,163,707,577,328,896,697,726,615,597,439,012,543,558,836,
020,080,407,308,356,981,654,761,728,409,605,743,124,766,337,092,683,370,101,
681,861,349,062,685,893,879,974,012,545,230,005,100,207,602,160,276,010,280,
909,145,386,473,181,396,013,744,234,178,335,493,459,849,598,345,533,192,202,
023,753,660,220,125,867,930,947,664,702,190,216,118,904,954,346,084,154,446,
311,556,015,994,045,318,590,781,365,750,031,053,772,682,288,988,586,279,345,
227,632,853,521,014,966,255,840,294,567,103,649,783,062,822,988,146,774,421,
003,863,693,023,720,396,667,710,305,062,680,152,583,551,867,340,954,819,088,
905,208,364,473,458,537,088,102,029,736,800,691,189,821,633,238,327,717,591,
256,377,733,089,111,110,825,888,784,516,013,422,297,494,272,441,557,115,191,
597,753,259,992,835,478,168,002,827,367,577,390,697,185,934,263,716,081,052,
017,507,571,871,814,507,375,192,149,691,775,636,890,988,807,139,448,169,687,
585,314,591,856,075,126,371,289,644,036,587,991,377,414,113,252,206,696,270,
000,712,099,240,740,601,761,802,885,883,403,038,937,818,634,238,375,460,936,
227,158,042,832,141,766,699,869,646,928,551,132,568,025,540,033,923,488,705,
389,375,804,652,037,923,721,079,702,934,068,907,114,931,927,601,520,066,220,
481,297,863,692,531,618,686,396,567,940,312,812,246,693,381,930,897,013,231,
443,953,042,080,863,134,522,946,845,772,009,895,069,071,430,921,529,330,811,
952,865,178,641,253,599,374,192,577,495,789,718,610,630,284,855,919,795,381,
781,927,807,775,104,227,060,116,732,590,272,101,137,296,084,753,403,933,332,
995,249,739,589,137,724,078,258,993,825,468,017,486,312,413,363,109,451,728,
776,675,584,570,873,461,119,949,403,398,146,465,951,115,856,277,565,180,036,
755,509,568,944,686,368,280,530,772,292,103,272,556,091,532,370,366,006,851,
701,972,501,628,484,099,488,739,819,905,413,446,151,516,701,317,530,180,018,
059,291,993,733,846,385,744,489,372,672,849,822,977,209,006,944,043,148,942,
331,353,072,425,265,445,331,024,820,513,905,356,915,188,366,094,634,665,895,
210,399,661,511,025,136,716,294,445,088,210,244,630,279,988,464,120,196,828,
126,283,298,690,591,885,038,349,975,261,106,345,437,220,422,145,757,543,201,
316,758,165,498,585,377,285,272,679,754,837,354,123,214,942,193,927,194,943,
584,372,828,307,674,668,370,187,238,618,209,763,311,122,462,334,183,241,872,
365,170,198,305,800,716,557,319,357,582,759,012,708,137,640,316,384,539,331,
953,781,756,078,760,904,266,086,905,024,453,782,809,257,990,998,454,113,814,
063,243,973,603,266,789,908,678,073,771,346,926,925,899,607,067,242,070,877,
281,095,422,656,483,664,758,995,293,803,063,907,030,240,648,166,183,285,355,
793,415,672,387,897,862,109,172,183,430,024,149,442,988,777,255,944,211,942,
533,263,105,539,834,008,349,724,575,615,423,513,689,119,034,891,142,028,336,
865,098,191,788,801,022,199,665,518,180,700,467,794,363,060,183,265,624,709,
593,300,703,816,838,152,965,722,150,943,142,290,455,142,245,184,334,737,852,
995,396,203,515,738,374,512,215,836,345,769,071,621,107,023,413,051,635,355,
836,309,856,756,497,077,827,783,793,988,472,206,459,034,488,067,522,391,887,
922,171,198,167,360,928,664,487,629,459,665,135,113,929,565,064,733,101,865,
185,703,489,299,609,757,696,389,814,145,180,292,786,913,701,764,297,085,519,
640,770,063,785,658,824,004,559,570,560,465,195,492,541,902,346,011,614,676,
949,162,982,879,855,866,465,218,646,655,379,853,064,936,002,174,407,305,023,
483,840,956,921,034,250,833,551,678,829,675,398,753,387,688,452,023,815,209,
202,981,490,711,783,979,952,527,694,396,340,364,475,780,661,295,860,720,833,
008,832,271,394,121,613,961,899,614,936,104,218,803,556,626,094,021,591,664,
911,873,447,716,830,793,226,293,056,397,685,329,938,943,271,150,910,245,780,
036,135,312,066,134,151,742,091,264,768,599,134,182,773,200,776,651,415,313,
875,697,784,183,299,248,517,750,128,518,539,507,928,472,971,980,001,509,010,
330,430,986,853,021,225,471,835,180,078,397,638,254,292,570,315,348,642,873,
553,108,581,547,675,716,902,670,055,704,349,250,038,078,454,033,050,986,979,
753,164,092,314,037,804,728,282,373,388,336,666,153,423,930,143,079,697,468,
202,346,301,226,156,297,466,672,018,573,943,740,295,648,641,615,397,245,504,
334,062,683,531,334,098,324,679,472,558,679,835,097,723,510,711,294,977,055,
544,680,789,500,264,144,362,261,176,128,157,033,106,324,791,454,930,081,036,
820,571,165,029,317,909,026,398,516,229,229,846,490,443,226,457,201,287,507,
773,935,321,549,079,611,817,317,498,285,638,263,320,465,084,516,143,866,220,
093,324,867,068,337,389,469,286,099,682,474,070,707,261,705,321,454,527,918,
897,648,275,344,814,874,118,528,862,370,248,982,961,598,848,026,786,525,111,
383,426,043,003,402,587,654,540,097,016,546,914,690,458,654,250,391,057,005,
079,448,944,281,793,126,878,339,816,199,199,685,414,916,761,062,472,387,814,
492,600,431,976,001,378,830,526,446,434,379,834,817,946,458,264,015,815,963,
836,459,625,312,342,038,584,842,937,195,767,245,624,819,456,269,115,201,119,
862,541,616,109,034,328,998,115,152,818,431,254,754,478,239,656,043,032,899,
978,884,228,372,663,342,591,794,160,957,017,209,505,321,581,808,788,566,584,
237,341,618,067,504,145,771,149,256,706,417,833,785,501,285,615,000,762,922,
202,382,577,950,715,606,004,709,437,802,968,477,235,204,581,394,752,174,203,
547,219,095,248,144,140,579,416,985,056,894,565,717,144,422,799,051,785,466,
212,320,374,366,856,990,221,370,493,212,725,310,871,908,879,566,417,057,646,
377,146,350,901,982,797,510,660,177,476,900,853,769,052,486,570,160,530,209,
175,393,080,313,780,713,826,208,359,473,038,128,513,727,314,091,738,639,747,
121,048,718,506,333,906,832,606,025,490,837,649,193,063,363,001,960,906,119,
557,489,869,407,082,672,278,484,119,807,729,436,291,138,713,977,640,731,519,
943,043,323,824,485,231,566,001,049,564,178,609,605,827,888,310,193,654,758,
671,096,623,940,112,658,006,314,035,554,075,481,416,331,984,372,310,562,731,
822,032,877,785,200,171,095,625,997,861,706,097,515,419,526,893,485,982,966,
699,943,324,630,395,044,064,325,736,151,551,120,920,059,351,865,758,945,184,
582,301,121,145,095,978,331,690,352,067,336,467,339,829,417,372,005,688,912,
728,529,514,878,366,015,372,674,750,137,632,328,137,222,796,602,491,950,817,
577,386,468,412,190,032,336,291,162,814,342,364,759,274,084,392,105,900,679,
538,118,409,928,090,129,762,065,297,186,274,665,251,615,175,927,408,830,609,
266,796,721,805,057,908,769,218,981,138,042,574,478,700,237,045,791,444,871,
039,358,547,481,587,711,885,501,416,130,693,981,571,746,145,559,645,179,051,
845,640,618,730,193,736,093,260,747,975,799,372,334,267,229,039,117,734,289,
606,785,487,706,455,586,448,934,427,007,878,744,452,947,762,827,270,141,249,
585,402,880,786,245,203,853,914,868,975,813,646,580,642,216,766,134,513,582,
587,321,212,498,564,258,407,120,330,666,931,047,129,157,061,349,267,459,298,
008,173,025,201,341,356,925,750,639,736,037,171,022,749,746,627,560,026,146,
014,389,808,674,778,762,159,374,224,980,029,931,254,322,078,355,659,441,021,
420,336,097,012,361,120,873,280,257,675,881,961,163,054,413,087,395,646,642,
267,202,282,434,940,166,942,161,408,716,774,832,662,691,586,383,468,798,976,
936,062,510,269,641,906,000,610,599,633,322,801,511,538,254,273,969,002,117,
344,589,517,649,977,990,648,983,490,563,881,595,476,646,994,723,271,340,617,
670,115,398,304,874,297,422,667,515,117,190,284,000,833,758,434,465,195,707,
174,495,050,157,192,250,897,864,943,614,339,794,617,515,369,570,750,900,129,
338,276,671,761,169,986,378,602,434,391,343,685,653,127,016,007,081,433,408,
497,298,901,820,174,922,481,398,463,446,262,975,635,951,874,934,420,495,410,
299,423,406,841,596,766,259,200,605,990,839,716,209,207,374,259,874,058,303,
030,065,800,733,969,896,084,178,608,972,100,085,564,188,494,215,578,871,516,
274,276,191,706,845,404,122,138,352,584,836,809,876,321,778,149,382,945,124,
449,044,269,532,795,941,894,407,030,455,114,474,381,986,010,674,317,306,249,
022,447,052,032,430,214,495,512,263,843,497,676,700,837,594,516,830,651,475,
262,832,268,756,113,620,511,651,944,978,616,734,389,188,031,088,971,462,758,
478,771,379,643,372,416,854,613,841,512,618,066,337,979,347,893,904,836,189,
552,023,377,413,037,592,259,882,314,146,584,726,835,296,626,511,664,392,576,
478,106,913,832,555,331,870,951,349,264,483,420,785,195,249,056,865,507,831,
392,224,371,810,009,919,533,900,712,034,701,916,573,559,968,833,526,517,850,
195,553,606,057,950,007,844,776,382,697,275,846,716,114,129,669,496,651,045,
883,795,410,448,079,782,568,561,453,554,080,740,394,822,770,847,853,880,842,
225,643,204,591,141,698,233,422,547,822,876,900,336,398,050,786,348,363,720,
326,261,153,221,189,328,865,961,524,890,688,473,474,669,224,068,806,904,937,
973,647,052,068,596,148,174,487,149,882,037,305,150,798,858,606,065,654,412,
514,757,851,234,615,199,946,293,377,949,468,093,185,933,496,758,336,546,797,
587,420,010,837,889,806,839,427,518,340,760,771,047,643,499,618,514,793,236,
830,110,496,169,206,672,232,009,433,432,669,391,425,058,718,391,353,754,171,
660,919,101,264,590,173,969,004,193,596,810,980,982,271,985,400,872,078,318,
744,965,353,476,552,537,099,854,177,980,855,798,788,541,428,963,182,403,235,
119,786,930,536,191,827,556,709,869,060,312,840,350,987,155,559,281,892,192,
699,594,045,410,026,655,600,984,979,714,844,341,600,965,657,305,056,408,995,
903,644,060,724,063,003,856,691,479,983,570,387,043,986,303,332,817,181,066,
140,512,441,349,478,205,308,342,629,326,540,163,293,640,496,389,486,364,488,
207,923,067,394,059,601,358,987,826,165,553,175,919,546,545,989,753,550,268,
129,958,074,592,624,697,354,629,056,592,515,340,146,481,071,533,856,919,116,
041,236,711,898,469,860,644,187,598,742,615,942,476,000,546,574,914,079,390,
602,152,235,793,045,156,123,356,450,226,164,881,816,175,743,391,579,843,883,
833,966,040,346,288,612,997,336,101,004,488,323,912,904,009,199,139,860,030,
269,230,671,188,233,721,462,638,341,232,055,474,564,336,429,789,094,709,672,
020,479,447,572,289,014,550,029,631,021,268,802,566,062,887,505,738,591,887,
242,097,428,073,807,680,239,691,461,915,097,838,310,840,407,768,367,521,424,
668,292,080,750,539,880,591,229,486,298,208,393,303,766,143,808,898,735,709,
309,356,128,805,187,968,468,555,947,689,435,527,985,939,306,538,979,264,032,
404,985,583,346,838,771,978,784,250,483,531,562,697,611,113,408,599,728,593,
650,634,660,674,901,149,814,687,304,719,082,463,675,912,380,102,940,421,314,
761,979,088,621,123,851,111,565,274,751,511,022,653,868,810,990,607,630,285,
765,483,528,752,972,820,546,186,939,949,070,189,866,819,786,516,333,589,499,
903,337,334,088,966,805,724,739,750,646,897,636,329,798,049,177,226,599,940,
050,558,588,926,133,352,598,560,877,374,179,578,288,295,914,244,243,007,221,
656,262,974,799,790,047,941,730,937,996,055,038,534,723,695,388,296,502,430,
163,633,272,435,313,823,080,698,409,173,562,649,077,060,097,937,580,411,826,
231,276,357,321,855,631,466,087,061,366,200,222,971,425,273,522,925,408,236,
871,931,328,688,643,778,822,568,639,112,166,301,407,803,554,381,171,772,497,
299,407,486,337,321,224,863,565,558,465,238,508,654,557,541,488,180,824,077,
225,633,621,849,787,154,524,499,950,839,744,708,199,848,852,035,745,534,857,
733,179,688,264,705,144,112,750,146,665,557,925,375,511,346,113,235,559,512,
017,262,090,420,134,077,822,328,367,890,857,017,719,587,578,481,820,189,475,
957,173,996,520,361,623,947,459,619,010,843,235,626,816,967,902,024,589,087,
494,772,814,423,302,988,324,952,439,536,430,566,894,066,709,195,705,501,047,
133,134,990,271,392,992,399,298,984,006,003,731,767,134,445,470,138,785,914,
617,718,496,714,547,591,981,864,752,037,561,633,713,298,933,175,172,783,427,
842,228,760,220,309,387,535,178,046,925,740,008,497,440,552,190,405,438,170,
801,743,343,723,947,592,606,655,616,192,382,663,598,319,250,908,471,707,289,
840,314,590,448,617,481,470,105,317,144,309,946,644,189,001,015,997,662,159,
943,725,665,691,654,365,935,399,451,847,327,884,514,196,336,437,939,786,412,
226,130,268,448,313,467,209,706,119,852,706,275,131,692,178,862,879,446,236,
344,444,133,468,941,576,056,082,295,258,455,997,293,823,987,301,261,320,749,
047,105,712,157,145,757,647,589,629,682,988,065,082,586,121,682,078,998,394,
380,924,879,857,215,712,205,808,092,936,498,130,772,981,742,577,256,978,209,
142,233,764,309,304,652,099,295,766,335,903,096,178,202,150,038,909,880,979,
289,363,337,886,199,353,841,864,980,855,368,736,389,201,884,185,480,395,710,
290,571,309,555,972,106,935,027,830,204,966,248,512,944,720,378,538,295,790,
293,912,734,525,917,865,961,936,714,068,135,429,979,795,656,116,863,950,186,
412,941,793,342,049,830,299,935,327,827,922,791,908,743,577,232,985,558,929,
104,152,140,145,778,929,152,279,171,091,939,521,137,470,488,261,865,249,321,
760,901,380,134,790,600,635,102,647,717,996,750,596,332,000,657,567,639,021,
140,108,845,927,327,714,987,404,914,939,532,074,620,673,253,101,160,952,148,
188,120,216,168,967,277,964,607,645,155,444,191,979,800,012,039,585,116,316,
177,128,400,032,842,435,574,598,558,898,835,940,955,532,629,621,431,047,989,
082,948,384,596,186,295,936,626,063,285,836,777,189,814,443,204,151,955,961,
844,604,772,884,120,569,424,561,479,108,830,487,486,745,073,811,808,633,085,
779,596,297,310,003,921,842,757,037,096,437,282,094,408,247,090,636,732,320,
225,448,919,173,442,497,610,291,809,962,857,590,111,741,112,582,099,457,997,
054,613,483,598,730,862,263,581,621,641,277,493,221,407,356,151,333,646,493,
677,206,661,359,561,417,222,258,876,828,998,278,781,880,785,594,456,373,138,
502,073,923,271,531,939,396,673,686,182,948,388,308,115,031,487,658,446,137,
665,113,978,293,348,723,184,570,948,609,334,846,297,844,080,969,228,660,005,
952,901,464,694,894,087,730,667,620,490,735,003,139,416,321,379,485,909,664,
323,909,892,775,197,378,158,455,877,812,004,969,453,367,391,264,255,462,741,
008,473,802,527,608,651,022,769,803,992,453,752,997,948,650,792,276,112,008,
193,352,858,395,691,154,417,868,534,772,674,231,095,271,290,604,142,169,601,
524,259,960,769,399,260,400,023,479,808,929,520,424,522,061,947,986,643,259,
885,492,873,476,577,633,269,638,090,515,404,110,541,035,520,653,243,981,639,
792,487,272,141,673,838,184,704,133,912,104,890,080,916,423,775,094,647,660,
957,923,849,141,710,919,623,239,960,382,669,181,844,185,151,776,012,394,996,
080,638,581,364,051,835,081,302,862,892,103,436,303,321,086,709,752,935,024,
582,827,010,464,511,267,590,027,352,903,382,138,381,320,764,199,147,942,419,
140,081,891,440,985,372,105,625,572,906,449,787,368,175,156,910,049,434,368,
111,567,985,975,003,278,154,069,491,206,805,299,913,506,571,304,950,844,265,
299,898,014,858,804,827,111,817,946,520,275,544,811,077,692,221,535,126,943,
074,950,661,927,587,292,346,194,562,087,030,860,839,067,448,254,970,332,683,
483,343,673,523,684,836,216,114,841,023,953,781,114,956,456,685,590,841,452,
989,275,823,070,194,797,569,962,432,800,212,394,259,086,750,587,825,396,315,
420,753,818,290,759,931,635,168,931,188,396,411,046,400,476,694,464,079,691,
056,516,362,680,418,816,136,552,279,414,601,929,351,486,044,596,757,998,439,
526,174,890,606,134,224,962,617,039,210,391,587,666,983,055,333,941,373,057,
382,109,177,337,911,472,550,103,760,031,773,138,317,854,336,538,655,735,326,
866,458,267,751,342,745,717,951,473,911,367,035,396,194,047,589,607,888,172,
042,856,323,325,872,984,471,255,989,207,083,188,426,175,320,626,414,788,253,
954,121,282,926,307,805,996,522,282,433,651,450,257,706,395,239,295,448,252,
081,668,045,095,843,400,950,684,280,127,660,119,582,598,500,574,614,076,176,
356,849,930,599,958,900,051,577,805,923,397,404,605,682,156,819,039,494,402,
149,045,918,676,547,611,211,233,322,487,016,739,828,752,798,868,694,620,448,
898,170,881,390,725,038,270,628,774,799,558,379,301,925,754,009,148,730,113,
916,227,560,939,041,163,877,956,279,469,571,098,533,378,785,877,714,257,455,
089,781,065,985,772,187,717,282,321,563,522,200,930,434,734,753,923,409,980,
585,880,143,151,109,360,959,447,440,470,166,992,399,110,059,082,575,883,014,
433,610,971,258,058,053,581,225,715,819,776,485,967,751,861,022,594,603,062,
242,376,430,603,724,835,521,062,103,463,548,227,885,783,640,688,856,838,599,
279,250,296,873,533,034,144,279,638,122,165,400,068,487,790,849,033,469,971,
041,784,743,302,451,531,797,092,030,853,813,396,293,856,723,373,088,658,202,
534,841,818,339,961,231,587,466,494,163,382,096,836,392,961,863,018,560,476,
580,321,154,350,622,590,207,038,813,568,288,340,968,214,114,373,684,255,497,
976,780,491,959,084,117,710,591,858,514,933,870,955,914,328,403,534,001,200,
884,583,103,057,021,384,852,320,060,155,064,742,270,647,119,140,648,689,441,
044,469,440,980,150,851,531,168,318,332,210,461,053,878,345,304,022,319,479,
876,626,007,681,290,647,667,356,347,038,690,787,091,575,899,287,326,664,886,
385,431,202,614,862,800,493,285,119,969,221,754,065,523,775,947,454,383,143,
210,051,315,872,849,613,263,270,712,496,652,165,823,147,634,516,159,227,879,
113,942,897,764,512,926,598,800,482,060,192,166,980,633,750,311,916,642,105,
620,783,853,425,094,066,328,464,338,244,690,789,193,717,550,185,760,348,925,
206,111,447,143,975,786,352,349,385,033,983,943,989,416,105,361,645,652,533,
053,938,627,956,783,104,924,152,927,636,554,293,393,511,640,582,896,958,501,
775,191,449,495,270,207,493,812,935,397,592,655,797,954,247,866,536,035,392,
026,315,366,663,598,716,168,387,694,901,731,667,948,440,157,763,663,787,450,
188,081,677,181,029,052,971,535,668,597,405,340,409,281,977,958,935,339,725,
868,101,901,794,923,238,526,255,998,611,093,486,084,001,294,377,995,563,107,
846,270,624,820,800,366,370,108,774,638,619,037,665,421,522,392,976,605,897,
398,252,680,463,803,373,535,251,394,372,964,344,177,054,203,916,873,239,837,
319,758,169,998,113,858,418,016,039,707,875,292,261,319,535,530,463,112,265,
650,472,335,414,075,265,671,946,510,199,140,041,033,755,941,491,564,266,277,
208,973,869,675,417,822,714,566,458,816,955,923,148,492,217,649,674,213,878,
882,911,624,734,135,493,605,458,231,940,303,653,677,965,759,165,764,251,729,
949,589,132,489,602,360,791,613,753,396,379,903,300,482,258,457,890,200,693,
148,924,735,517,754,662,669,366,621,368,093,728,277,776,756,409,472,429,289,
212,744,146,504,743,051,850,010,487,954,913,050,680,156,167,736,515,090,761,
967,858,865,227,899,791,339,295,305,206,767,687,101,627,302,690,101,683,831,
867,307,722,121,561,820,725,591,840,837,638,143,293,775,864,782,643,598,778,
069,289,727,509,813,906,737,652,888,519,532,458,989,833,622,504,607,872,265,
872,645,893,326,123,031,309,577,803,550,414,174,034,511,562,724,792,578,464,
214,586,758,216,360,849,640,801,560,712,802,432,298,599,305,648,574,092,475,
288,817,926,523,029,045,558,349,058,897,165,860,328,338,175,162,988,001,546,
112,394,253,931,786,272,375,843,671,231,667,872,857,658,194,108,543,774,173,
773,334,430,606,867,997,759,871,872,996,306,189,730,885,692,692,942,600,376,
817,041,282,072,302,175,640,150,110,864,237,088,966,537,289,919,573,218,556,
531,058,754,006,359,843,432,917,199,342,097,023,641,655,045,148,349,103,265,
782,316,687,979,420,143,368,676,595,780,644,029,761,749,239,466,811,346,955,
407,499,745,969,618,968,824,305,596,832,951,883,725,525,072,686,984,485,531,
560,006,659,290,437,354,862,646,558,298,438,687,393,539,764,403,162,892,225,
727,305,193,096,183,303,605,905,809,585,647,400,956,799,903,749,046,843,612,
908,118,226,354,530,801,590,114,321,807,446,045,137,604,600,954,714,062,592,
622,838,470,863,511,434,175,953,782,983,526,340,367,602,497,213,144,619,982,
901,400,659,320,358,050,222,189,713,424,235,352,642,593,203,011,359,415,692,
845,828,253,929,805,321,800,431,294,308,386,488,087,241,329,782,974,018,336,
206,180,017,896,767,209,893,773,683,555,724,049,147,495,978,827,530,283,048,
275,480,552,203,908,134,198,008,928,454,488,934,519,182,483,519,691,701,983,
418,115,983,463,256,298,432,543,012,234,261,150,443,529,662,006,312,780,644,
250,414,322,701,752,805,113,564,137,209,638,636,933,727,824,251,023,176,595,
367,543,576,506,571,605,174,722,449,803,704,842,978,270,355,800,957,581,262,
036,808,618,053,989,360,661,159,981,461,703,042,336,570,131,138,990,371,478,
816,149,595,398,795,086,333,400,963,043,227,251,567,494,401,687,481,640,983,
959,338,985,051,486,950,909,958,536,770,553,254,895,949,302,040,935,649,430,
255,230,697,780,848,989,772,005,401,737,909,628,782,249,271,517,136,120,139,
522,722,096,961,637,724,963,576,949,019,192,487,755,962,451,059,002,499,362,
061,956,856,679,862,798,760,858,103,396,418,022,013,166,871,329,277,445,756,
377,870,436,937,431,349,565,634,462,758,610,535,740,534,490,993,947,616,722,
830,547,538,624,728,473,195,728,511,464,908,891,475,693,038,684,086,813,517,
425,986,408,168,614,722,462,863,777,973,615,703,445,589,182,651,476,990,916,
023,056,826,270,387,196,303,095,828,269,433,998,358,785,949,183,825,171,891,
709,747,393,916,347,514,798,825,149,232,950,252,445,013,367,231,509,587,897,
245,899,287,088,055,958,166,460,851,711,985,540,031,277,592,923,721,764,173,
389,916,871,035,248,706,005,221,949,509,282,032,024,249,023,999,467,247,021,
473,496,398,487,509,577,563,347,672,062,775,986,881,392,410,072,645,224,493,
132,487,032,643,669,365,320,217,894,286,175,821,212,155,780,891,467,969,078,
271,509,507,895,497,123,531,889,104,687,624,490,057,267,792,328,005,285,790,
587,709,141,142,410,141,897,128,348,711,803,573,773,300,715,421,144,378,828,
789,970,423,218,139,794,698,319,787,716,940,901,966,882,079,168,667,393,689,
114,626,662,892,432,532,634,228,993,922,136,746,646,854,602,526,047,214,983,
267,748,851,990,277,129,373,869,417,315,823,637,969,890,153,980,741,780,038,
534,898,607,250,086,060,582,766,651,065,016,123,958,749,806,877,105,785,956,
864,271,622,516,909,125,821,908,790,845,239,456,932,637,053,478,634,427,245,
611,072,813,696,543,126,763,770,428,704,742,726,481,802,615,829,351,543,208,
029,761,049,549,048,501,356,034,970,608,760,280,302,891,555,065,838,264,363,
647,621,939,823,851,349,331,710,152,006,448,293,089,138,335,904,587,052,210,
525,832,279,297,205,335,357,363,703,897,176,348,196,637,473,175,493,417,837,
766,666,633,388,139,017,071,963,477,210,904,307,341,850,078,538,195,662,602,
455,904,621,187,331,868,784,319,959,189,980,174,335,397,261,027,357,134,566,
512,606,347,747,444,673,881,043,888,609,110,618,067,213,668,807,816,950,370,
521,662,465,368,798,877,275,844,894,620,603,271,907,212,755,013,443,877,398,
856,927,088,842,478,854,086,923,043,515,878,926,575,823,548,145,190,164,452,
841,068,386,520,709,535,539,931,775,752,767,313,373,793,240,189,478,167,454,
134,725,757,852,974,253,628,772,265,554,536,417,081,748,329,437,128,456,257,
236,828,453,567,101,649,231,057,078,974,578,652,336,996,498,040,189,896,347,
805,144,919,814,726,405,535,415,938,440,477,631,107,754,405,050,462,160,469,
114,907,791,609,293,486,351,066,903,630,314,997,183,799,630,231,589,662,627,
442,015,053,001,869,023,575,763,332,386,228,732,396,493,241,483,339,653,796,
239,171,832,424,191,120,609,796,038,187,761,278,231,352,074,941,993,783,098,
643,972,982,074,656,807,895,180,326,188,500,416,728,596,321,173,150,686,167,
734,155,854,052,768,414,293,722,914,778,729,225,820,897,487,078,246,101,740,
289,199,445,070,812,217,438,433,016,525,006,806,396,376,979,209,447,835,706,
190,325,528,941,925,136,934,627,164,825,266,196,617,765,808,587,650,749,258,
968,430,755,966,201,483,901,109,104,054,022,439,238,762,158,150,092,024,703,
481,329,757,411,895,545,660,706,402,656,439,823,774,801,686,712,829,953,200,
565,893,392,237,017,082,178,312,058,100,974,308,927,830,756,600,573,262,629,
170,532,630,191,620,816,581,782,566,760,806,496,195,535,667,865,926,678,948,
057,054,107,868,259,334,042,009,508,864,718,960,756,946,670,697,491,303,409,
867,224,364,907,193,371,687,016,704,632,964,296,130,903,153,597,135,793,271,
327,111,753,044,664,419,524,334,336,356,566,078,556,523,163,388,181,817,274,
313,964,497,084,303,396,068,035,804,688,417,094,130,455,411,308,872,974,555,
343,436,564,723,730,813,287,505,215,825,939,332,394,004,050,231,110,170,570,
434,655,526,765,935,827,353,239,469,424,104,885,280,818,072,278,001,806,267,
004,535,441,672,052,455,541,341,870,792,245,475,407,371,344,472,318,372,901,
621,046,174,632,495,238,453,514,387,106,993,104,080,858,634,519,838,485,627,
300,682,109,547,857,436,860,586,048,707,748,517,195,338,299,811,814,763,930,
031,085,183,678,473,674,139,177,504,664,726,067,369,783,653,412,167,145,289,
049,429,358,844,364,696,086,688,914,623,274,783,038,140,963,461,229,047,508,
066,271,275,067,150,326,180,165,333,120,411,849,950,784,074,020,578,239,275,
404,573,021,396,444,341,331,727,034,513,377,588,471,206,832,705,694,544,174,
888,922,248,812,292,368,013,955,003,225,760,314,369,789,075,870,423,002,847,
683,644,749,562,252,673,506,156,165,295,773,450,959,997,656,073,448,258,031,
095,084,733,684,862,372,436,874,207,524,303,225,436,023,133,716,284,017,531,
630,191,607,671,823,850,270,911,729,520,225,693,765,645,980,589,770,516,267,
095,641,387,654,119,309,350,048,946,223,666,934,649,015,795,676,985,825,089,
601,882,247,004,737,554,627,024,629,521,606,089,425,710,999,517,325,885,112,
895,433,481,033,629,686,188,620,701,838,179,788,079,152,185,006,181,632,421,
063,113,830,663,591,455,545,535,499,774,561,158,452,680,015,082,650,010,737,
211,724,888,963,343,268,170,106,228,685,166,163,726,930,529,227,884,812,064,
792,582,943,730,901,309,016,286,196,763,932,501,089,337,440,418,697,141,024,
117,666,876,204,047,395,928,514,240,617,728,671,814,283,165,927,765,907,365,
014,836,510,222,510,812,023,384,055,051,535,922,604,261,763,802,154,241,060,
743,030,836,860,217,748,817,404,476,529,822,203,973,750,114,246,750,321,796,
207,068,863,126,978,334,471,203,061,851,326,372,143,209,459,956,024,157,225,
877,575,863,016,364,135,596,579,894,106,722,030,943,946,988,430,075,865,782,
000,894,649,281,420,629,379,235,499,517,129,800,617,189,489,716,757,492,354,
866,498,303,593,183,617,826,448,047,034,431,647,995,294,681,207,685,132,245,
008,155,768,317,248,365,873,173,203,573,449,699,976,154,232,470,181,655,380,
391,769,016,171,160,425,653,213,712,751,864,018,109,002,932,836,392,095,542,
355,497,022,583,461,578,614,069,401,008,386,263,556,383,297,927,659,090,489,
803,077,309,689,935,420,850,919,496,291,880,765,570,384,136,814,750,137,303,
227,226,093,566,158,490,421,709,741,782,829,819,373,045,281,991,109,044,069,
449,657,970,189,985,673,989,693,985,073,320,870,797,682,967,839,533,436,725,
364,968,361,769,743,567,095,878,886,524,462,762,083,412,060,514,518,552,650,
102,370,226,841,428,336,126,200,312,455,456,996,262,923,988,114,455,236,607,
919,051,184,079,214,681,526,468,391,697,190,994,884,273,774,028,613,447,296,
582,377,929,037,067,989,058,141,779,227,852,843,273,915,712,592,863,655,564,
588,931,618,520,614,620,552,662,760,134,677,846,228,873,982,668,885,331,531,
254,843,708,585,532,351,565,282,643,295,182,402,167,300,314,074,599,218,060,
312,764,029,663,245,993,770,764,580,806,937,919,071,209,172,166,258,013,284,
858,395,494,190,086,516,301,276,760,766,470,590,106,237,026,208,764,284,268,
997,680,268,873,540,954,581,672,595,611,740,461,666,346,842,990,852,522,956,
924,279,497,302,999,221,267,199,440,603,308,801,179,228,074,923,323,569,269,
768,544,622,815,048,674,256,576,424,270,357,962,902,438,985,717,552,254,941,
981,349,812,738,881,955,812,144,723,437,158,168,349,556,858,829,597,516,747,
824,535,514,860,101,900,613,421,571,684,537,558,023,222,144,159,757,062,842,
131,224,324,098,881,017,506,282,790,622,436,364,284,549,098,264,817,865,617,
906,977,855,692,611,841,614,543,429,798,701,204,413,261,564,137,833,219,824,
951,333,485,647,626,034,337,789,820,541,535,029,785,759,297,349,038,248,744,
080,379,979,914,055,197,991,713,235,709,530,878,310,029,669,891,174,608,963,
232,972,360,185,272,251,111,145,935,882,310,620,955,398,115,994,634,035,854,
452,781,197,855,995,320,452,936,421,158,180,531,013,793,595,433,655,886,666,
456,835,703,685,041,486,710,329,848,457,674,021,619,914,694,355,926,346,183,
057,936,981,833,525,384,734,078,550,047,308,158,612,133,384,413,860,039,078,
702,073,553,143,302,325,576,726,577,676,904,816,850,825,587,949,093,589,564,
010,804,507,117,291,403,771,896,412,425,599,815,300,917,484,583,386,205,666,
282,282,703,317,105,838,239,675,010,274,681,139,811,225,572,335,534,587,469,
535,205,043,736,708,591,174,241,572,390,314,765,409,591,302,516,976,529,293,
617,999,478,983,929,738,250,022,151,269,967,735,703,473,985,174,531,414,491,
824,551,277,714,154,273,577,075,965,236,591,783,069,400,861,984,376,565,172,
744,654,686,613,748,518,764,370,363,032,958,896,747,892,750,633,460,113,265,
908,420,227,730,716,830,369,291,580,362,003,566,839,849,337,009,390,863,357,
153,387,751,204,850,009,540,412,320,060,751,523,085,746,205,214,518,277,265,
447,892,472,669,280,570,720,097,751,091,254,319,129,868,523,610,907,950,204,
393,129,301,995,496,083,937,045,247,456,653,305,114,658,334,000,770,327,816,
867,733,283,316,881,889,338,925,940,310,549,844,324,271,411,800,214,965,395,
769,047,007,880,848,112,192,400,688,901,451,382,762,949,008,672,984,122,900,
520,269,114,417,763,650,282,084,782,410,327,796,428,101,055,867,532,287,374,
209,405,585,434,526,034,465,886,793,308,917,245,645,935,472,725,102,987,454,
448,999,781,176,870,031,194,643,357,921,696,449,489,597,696,317,572,132,163,
560,634,039,026,796,807,798,832,160,322,354,395,030,795,001,014,466,162,936,
988,106,358,656,003,670,389,885,892,860,677,365,922,858,216,602,599,765,667,
091,604,044,638,321,599,300,599,670,503,159,094,297,664,099,920,518,465,086,
239,119,708,017,925,936,696,619,426,661,425,442,650,562,083,501,695,161,525,
281,857,048,850,521,762,022,176,104,884,385,049,005,808,470,709,810,841,171,
164,716,453,168,747,871,159,119,913,628,086,444,619,478,033,369,025,850,033,
374,731,425,761,718,210,715,789,008,078,757,202,275,149,651,595,606,865,723,
977,217,638,154,526,335,778,097,604,188,966,251,491,330,516,009,144,022,463,
185,037,640,663,361,151,958,954,669,417,541,418,231,091,280,420,909,018,970,
047,000,675,920,538,631,123,654,026,299,706,587,078,499,239,857,378,506,294,
122,487,477,105,426,645,110,607,331,186,114,923,286,007,973,055,547,829,679,
517,969,516,261,479,803,844,023,416,333,170,514,356,489,087,039,203,272,123,
550,136,660,760,547,366,350,927,916,210,364,709,132,617,193,086,831,507,130,
216,135,823,241,024,812,263,620,016,967,999,691,401,724,043,219,204,310,743,
615,250,402,312,833,630,145,011,065,686,981,154,690,283,193,392,661,401,112,
750,608,228,032,570,345,914,590,420,864,978,056,471,939,747,694,217,655,603,
852,384,803,976,116,485,289,513,812,371,081,106,382,825,909,325,039,706,567,
204,766,446,969,085,240,886,635,647,768,972,790,952,606,794,753,634,387,855,
780,074,941,841,163,903,140,799,082,256,921,908,422,945,013,140,608,877,927,
013,242,718,093,828,187,925,920,579,924,104,252,002,622,176,237,675,874,042,
024,222,320,596,418,257,074,310,680,401,633,964,250,859,333,041,095,104,261,
470,075,264,958,742,008,239,752,831,748,369,110,808,089,817,756,732,657,681,
654,195,489,636,710,658,052,941,625,234,482,443,818,667,104,940,243,819,002,
516,269,847,389,529,773,459,024,277,993,779,367,495,468,947,624,200,338,866,
141,552,046,185,650,072,330,082,821,423,501,173,370,218,083,538,667,968,891,
201,143,863,998,297,100,727,852,436,286,311,979,328,598,782,780,635,300,210,
620,970,556,753,129,182,922,051,607,566,916,349,801,405,048,460,714,998,032,
896,282,222,883,286,350,549,754,520,640,124,642,099,047,555,192,483,940,476,
687,739,654,585,259,620,863,747,366,677,512,327,370,453,942,525,466,502,712,
478,390,884,412,195,138,065,549,015,897,939,606,973,945,255,279,979,601,725,
344,134,867,976,340,683,965,633,776,202,479,133,226,015,082,257,571,353,204,
992,114,767,687,465,805,419,437,412,573,813,461,638,544,302,780,616,050,096,
227,543,703,866,349,843,292,826,334,643,588,008,678,263,594,108,050,015,494,
875,606,567,310,369,584,745,825,899,476,099,240,803,013,847,211,335,971,050,
858,631,354,481,067,099,530,929,275,322,478,929,540,358,976,939,878,804,923,
980,708,504,932,065,397,863,884,430,067,477,977,258,631,440,245,712,673,887,
253,494,380,996,288,153,532,944,020,003,732,670,127,818,458,018,531,438,458,
475,675,302,837,183,599,747,002,340,442,838,207,365,440,497,944,161,580,788,
287,887,947,342,007,483,202,757,229,288,110,860,087,622,721,989,071,066,070,
952,310,763,514,907,776,107,651,337,431,544,954,593,827,696,652,179,971,248,
905,403,036,468,380,985,010,682,835,553,687,212,557,880,794,778,156,601,261,
214,597,715,493,835,758,430,991,015,842,519,733,093,493,307,069,391,668,723,
377,625,452,150,172,550,529,309,985,430,676,825,138,202,062,794,347,839,285,
159,576,309,023,872,415,118,551,439,861,480,498,041,628,729,717,691,569,059,
336,245,810,513,552,166,062,787,002,548,586,228,574,744,900,430,664,889,393,
295,411,289,939,394,946,288,541,891,763,649,683,894,232,128,374,557,336,308,
501,884,660,008,826,006,572,569,473,982,338,530,212,090,193,716,970,062,361,
264,391,029,075,403,213,998,257,223,287,862,407,307,827,125,704,733,085,635,
326,554,873,308,693,040,921,041,086,449,644,220,423,048,518,150,582,157,704,
944,373,039,861,324,656,687,799,900,690,816,951,932,115,698,454,167,667,943,
870,021,178,873,860,580,507,730,366,214,482,695,659,990,578,404,804,729,968,
820,918,002,881,961,211,972,592,918,144,445,271,850,216,178,541,348,823,969,
564,411,511,274,734,439,394,857,484,044,579,615,671,167,976,197,610,953,307,
774,678,590,625,825,087,311,474,421,157,172,151,288,847,943,375,555,639,505,
011,747,159,689,360,905,737,004,012,180,989,201,559,424,997,410,207,562,291,
490,909,654,471,639,318,074,425,754,369,752,932,627,896,495,755,548,017,376,
924,454,844,588,567,952,758,114,957,272,852,011,034,315,722,639,602,925,799,
645,995,928,973,520,249,331,794,339,307,845,879,271,847,088,949,526,397,349,
785,850,265,763,386,734,954,699,039,410,395,476,304,990,467,649,294,539,427,
799,113,426,653,127,784,283,055,301,483,668,302,324,055,812,696,769,707,751,
541,697,108,896,879,029,130,597,748,859,555,895,438,712,377,706,967,473,951,
132,801,735,210,958,697,158,390,937,299,543,853,448,758,100,296,010,526,751,
961,533,797,350,074,724,959,891,023,046,743,225,782,114,187,151,949,129,954,
179,295,319,122,986,920,380,059,526,166,034,515,595,325,882,562,723,232,456,
235,012,009,124,296,463,062,193,093,700,877,844,540,684,269,349,820,944,522,
537,444,665,913,383,887,595,057,322,976,626,110,728,631,593,340,577,198,360,
476,774,410,560,380,951,203,554,071,438,224,850,375,475,541,623,462,506,120,
010,950,320,053,591,238,449,131,857,925,743,002,558,306,212,782,284,682,684,
926,594,513,384,223,538,955,796,484,298,317,894,027,684,063,413,940,018,279,
297,975,724,171,421,735,654,728,825,745,734,382,350,989,597,394,779,347,851,
903,558,460,297,413,136,898,409,535,456,593,597,197,705,992,241,927,601,726,
279,671,054,075,424,003,762,362,409,043,135,283,180,050,007,382,508,552,967,
940,334,290,679,376,386,706,137,252,077,810,230,576,145,758,991,064,303,234,
007,327,030,956,555,013,460,558,246,922,280,202,259,520,355,016,244,499,429,
536,625,754,494,411,053,083,220,001,472,185,833,505,976,672,844,694,076,078,
219,263,635,351,285,150,848,407,546,237,794,784,457,271,868,321,348,478,258,
069,986,370,159,543,102,620,305,941,798,110,134,292,778,792,819,141,844,916,
220,618,699,530,807,693,581,929,384,922,629,622,565,344,174,534,821,890,301,
953,420,555,139,606,528,773,525,082,261,702,365,692,828,851,690,978,157,781,
687,922,721,817,049,530,383,492,652,368,330,311,605,369,315,533,939,478,998,
482,864,926,622,491,179,564,680,956,834,625,775,131,962,373,640,134,964,662,
845,553,693,914,523,125,694,727,297,035,517,059,273,635,518,082,923,751,730,
017,838,921,548,636,176,960,731,761,689,595,315,705,897,019,477,820,813,582,
121,985,531,686,455,582,003,808,481,555,490,206,339,582,488,995,690,718,871,
715,723,992,384,828,096,675,590,661,941,606,800,320,100,814,126,283,852,797,
373,149,241,682,956,906,693,667,923,843,742,564,554,607,051,986,618,955,780,
905,753,066,129,467,511,311,681,472,425,378,128,800,011,149,332,222,096,582,
284,940,012,664,140,472,771,086,868,265,241,180,431,361,125,409,572,839,627,
538,476,764,228,133,955,738,409,862,480,732,601,985,680,556,421,584,745,986,
898,452,453,171,403,068,028,769,149,747,482,183,882,361,161,303,071,482,200,
358,446,713,369,507,427,789,513,816,840,971,150,602,516,773,964,112,844,279,
076,133,287,910,257,185,522,538,274,810,785,300,382,941,634,299,876,276,455,
268,375,499,739,600,777,651,649,404,933,513,389,786,414,600,387,872,869,481,
028,308,498,411,362,117,267,921,569,066,768,752,626,484,227,533,629,611,661,
848,059,921,050,725,489,809,850,280,274,716,610,850,626,861,728,205,519,319,
175,861,690,810,275,627,246,382,814,924,489,173,748,727,876,018,928,598,058,
715,455,639,252,005,277,939,868,093,367,552,827,951,417,974,662,054,471,968,
409,783,851,538,520,380,792,601,666,572,389,306,700,016,915,735,736,413,517,
031,747,211,588,074,949,542,091,302,596,987,904,686,195,985,593,568,405,334,
931,164,333,600,005,459,326,013,897,257,537,322,163,052,933,915,790,590,690,
513,981,781,557,164,809,403,862,037,338,969,459,674,148,052,896,834,422,735,
759,537,519,260,480,403,633,370,613,208,030,946,595,299,059,941,029,416,239,
130,373,432,569,202,511,326,805,205,153,545,761,363,384,192,077,353,288,868,
840,169,678,631,797,193,782,940,819,980,727,861,009,548,911,406,292,453,494,
720,909,678,267,359,758,367,364,868,015,912,120,136,909,431,205,246,879,281,
472,412,737,737,732,958,670,916,841,176,493,092,880,859,567,816,647,598,624,
681,460,875,667,333,915,780,347,604,939,628,742,861,506,430,168,542,603,619,
671,783,892,744,707,490,568,518,526,350,332,081,807,063,474,611,043,706,883,
179,780,147,279,587,439,328,592,201,982,658,580,700,257,943,696,909,929,097,
767,773,161,519,687,542,306,362,439,026,160,306,535,291,801,932,192,427,194,
404,113,724,785,511,038,832,124,003,655,557,670,390,683,947,071,824,573,855,
752,051,932,666,028,412,035,981,657,121,888,073,535,527,795,337,934,077,784,
815,493,568,647,032,547,816,399,254,829,978,498,115,263,194,749,615,181,939,
665,080,181,448,057,682,111,041,115,852,880,568,428,410,646,774,007,631,407,
643,758,090,597,529,390,385,580,195,276,236,278,071,008,188,997,285,379,498,
626,421,726,307,698,349,011,117,381,902,765,355,366,479,757,302,411,161,024,
073,821,555,451,457,230,756,882,383,647,867,056,941,382,366,127,239,430,946,
850,002,495,269,989,213,976,767,136,337,067,808,862,934,313,867,106,253,809,
752,917,249,074,181,109,843,911,351,751,481,478,271,060,072,537,310,291,828,
025,563,285,155,751,825,021,249,205,889,319,536,592,939,347,593,880,015,699,
218,574,436,798,750,868,862,992,454,708,691,775,404,958,409,346,001,677,146,
981,143,995,437,977,861,823,729,605,720,249,379,333,451,305,352,514,336,200,
880,025,176,078,263,038,282,343,950,402,132,186,775,730,386,194,805,366,563,
524,602,795,493,774,991,961,718,970,447,845,395,430,694,420,750,009,079,239,
960,571,819,253,308,771,193,476,441,140,992,204,852,861,795,259,138,559,245,
041,637,151,957,216,557,014,909,903,972,335,335,784,460,528,920,250,080,073,
963,963,233,845,190,788,443,860,098,592,940,265,588,791,977,793,404,672,361,
243,970,995,979,834,113,617,170,588,059,946,461,879,896,219,653,273,199,763,
796,440,794,255,033,591,107,131,528,371,743,678,084,615,954,414,276,196,361,
304,908,835,869,221,239,576,997,654,760,606,754,700,382,856,007,069,142,041,
327,000,196,682,881,687,721,831,260,632,308,790,645,975,104,597,436,026,881,
414,410,979,749,930,558,446,447,959,669,686,064,012,439,522,790,362,064,769,
152,867,119,606,171,757,625,774,411,062,963,831,828,751,034,681,776,156,157,
863,294,596,892,317,209,867,420,064,932,941,617,222,700,598,024,110,536,973,
851,175,437,133,376,261,588,952,672,330,978,063,892,795,912,866,826,202,733,
378,546,114,199,209,343,761,049,972,298,794,940,763,046,973,762,255,755,884,
744,017,990,173,567,562,574,813,661,621,447,091,566,812,779,747,111,234,089,
905,175,344,908,285,441,637,207,556,569,339,082,009,729,718,450,096,166,424,
918,340,459,965,931,651,583,448,362,084,650,886,149,912,096,176,988,473,181,
278,648,235,780,062,621,732,071,226,609,924,468,695,034,965,907,612,766,047,
952,957,203,379,255,654,405,180,135,504,415,808,202,891,029,977,874,384,755,
450,453,344,016,079,022,516,671,037,337,973,008,905,926,419,730,992,580,699,
595,088,856,087,586,953,447,788,292,525,968,361,681,882,818,323,042,818,986,
003,535,516,079,040,468,068,735,487,283,575,872,274,601,648,170,543,621,418,
706,999,470,581,724,224,074,714,572,042,232,016,319,822,794,246,455,367,018,
928,763,597,540,175,359,037,762,701,338,619,988,432,815,762,102,754,678,150,
677,284,474,361,689,345,048,980,339,769,612,923,446,127,186,571,484,683,115,
842,533,977,835,174,907,536,394,353,666,046,450,199,500,681,156,013,396,017,
125,920,702,619,782,938,952,239,163,508,962,788,328,800,685,202,163,371,455,
666,171,238,149,603,215,743,596,385,282,944,426,424,823,918,960,040,370,196,
348,829,114,898,869,081,647,550,495,970,356,395,827,751,995,908,640,640,751,
946,081,561,815,085,919,041,014,889,525,065,453,520,353,165,030,368,975,722,
020,342,965,755,558,320,658,223,554,437,530,239,312,136,421,925,923,506,587,
998,955,315,772,029,479,231,161,502,090,787,767,273,837,983,027,813,434,802,
382,905,301,046,556,792,013,027,687,199,530,021,139,357,504,806,660,213,977,
394,350,798,367,652,874,945,932,701,256,549,633,369,760,596,210,730,843,393,
850,293,695,674,832,327,259,747,181,292,721,267,990,883,627,722,637,709,454,
641,126,066,560,249,096,984,951,542,616,818,352,895,386,465,924,567,230,254,
009,119,539,784,721,669,554,088,495,323,918,771,904,512,401,715,019,209,393,
038,882,653,385,890,189,448,075,068,911,787,486,240,298,422,893,079,563,054,
659,689,165,871,181,585,932,345,551,156,471,182,073,033,042,421,451,757,292,
577,594,697,448,001,222,869,646,076,464,461,248,289,283,835,836,342,781,100,
296,397,688,138,541,980,207,260,828,992,842,513,811,017,133,581,491,321,175,
240,335,709,973,066,348,526,111,081,607,300,479,340,895,326,645,898,617,910,
044,055,832,970,066,501,172,133,722,499,688,678,959,266,667,001,827,109,214,
612,974,805,133,070,177,918,239,461,692,367,350,269,015,724,810,353,579,310,
021,875,290,474,131,525,848,535,043,555,927,038,525,821,379,066,538,981,032,
574,665,945,015,338,312,874,679,303,475,100,631,759,069,220,731,506,673,288,
296,462,976,527,579,614,522,904,100,167,884,768,939,479,568,588,545,221,500,
893,180,336,839,349,725,106,855,124,052,820,216,075,742,426,213,406,258,916,
761,014,981,208,591,524,232,002,017,623,909,896,422,277,325,463,367,538,106,
323,694,960,042,064,212,285,844,048,220,920,123,490,302,351,478,134,288,037,
552,559,280,617,560,005,650,545,287,337,232,097,711,706,604,580,993,281,650,
717,779,502,823,375,459,963,793,962,761,192,698,055,255,707,750,708,751,083,
214,266,856,860,174,734,249,989,418,949,894,659,687,733,446,289,278,428,288,
153,608,993,205,722,930,436,375,234,587,920,976,996,783,897,962,115,932,969,
087,145,474,589,256,215,185,600,425,822,132,741,112,609,758,469,978,435,962,
105,906,297,430,636,931,437,604,728,708,983,579,484,207,717,263,973,114,956,
568,148,685,985,851,866,251,831,680,452,362,509,974,311,585,848,092,175,233,
453,379,888,021,057,178,893,558,530,788,118,534,847,991,933,345,314,979,543,
579,249,750,218,815,401,217,689,448,123,643,585,542,109,220,648,661,935,092,
863,544,282,362,033,348,112,946,078,151,771,601,807,210,459,515,223,191,208,
007,583,689,176,918,122,616,998,498,756,091,151,313,522,085,029,882,743,203,
350,829,231,745,851,229,638,729,544,662,092,988,433,844,483,044,660,313,448,
798,113,383,601,979,888,157,335,908,247,608,263,433,337,483,896,827,239,167,
685,191,367,841,067,656,329,768,825,255,358,160,145,386,723,025,912,763,905,
854,122,292,449,509,916,330,696,894,449,397,403,300,000,330,230,678,442,245,
503,543,185,147,116,101,166,665,102,160,167,817,582,484,272,637,970,456,323,
374,001,887,132,185,925,600,444,796,855,277,783,670,592,926,587,115,018,957,
384,733,723,929,167,694,023,162,515,673,730,474,300,575,758,702,085,929,819,
476,232,489,821,075,185,909,046,433,051,892,202,425,386,005,344,099,235,862,
706,398,622,378,437,514,612,138,426,275,540,227,389,374,588,576,965,967,653,
581,123,807,373,948,784,273,582,836,910,797,884,384,600,201,115,099,491,324,
770,775,117,613,347,955,176,981,236,486,236,298,797,686,374,332,085,667,378,
508,183,394,445,096,033,278,428,431,808,729,009,236,494,782,842,515,143,239,
701,627,293,093,398,398,715,924,213,570,946,731,314,870,362,045,993,635,810,
999,086,171,746,755,331,664,049,161,201,201,506,674,361,600,299,790,851,898,
883,004,507,957,733,462,160,151,326,271,319,334,527,747,241,978,306,387,424,
907,631,350,318,751,284,427,219,478,957,815,095,482,413,727,057,477,030,818,
137,798,683,772,614,370,142,206,401,468,287,604,442,904,205,746,086,185,989,
498,704,921,875,767,422,653,964,245,316,472,866,733,930,501,662,115,902,112,
861,082,863,344,438,396,406,629,453,288,585,692,326,732,978,749,563,767,028,
470,212,158,846,521,506,538,172,151,895,255,182,334,425,064,116,936,626,716,
038,087,600,850,450,171,108,218,316,088,286,436,651,901,557,016,843,486,388,
330,346,941,174,716,361,910,244,399,630,616,301,397,607,155,446,120,484,714,
666,398,044,843,235,731,879,607,116,359,259,468,807,931,100,929,505,761,843,
369,016,208,968,511,220,913,071,637,128,514,437,135,921,356,487,045,913,401,
683,513,610,806,069,105,767,337,124,163,963,098,843,045,060,036,420,492,740,
502,507,026,416,016,933,487,523,632,793,283,666,922,255,557,602,116,286,079,
934,824,032,402,184,582,136,806,993,910,544,875,032,128,619,490,123,228,018,
538,665,107,396,828,684,347,828,662,259,842,999,297,840,302,107,435,675,490,
612,754,549,817,094,778,192,519,259,086,273,235,707,461,921,011,094,179,164,
927,266,318,199,611,810,338,359,405,129,440,648,731,406,677,064,126,848,860,
747,847,187,379,649,259,308,100,707,514,780,254,323,571,611,567,324,048,082,
052,183,976,405,939,562,281,890,441,496,503,108,403,063,719,422,987,205,981,
324,768,308,350,254,763,811,170,877,503,544,560,923,257,350,979,226,200,624,
519,776,006,673,445,128,149,971,358,883,972,420,626,411,528,007,802,091,076,
583,107,256,019,116,760,247,876,209,278,746,988,469,201,785,503,750,447,236,
519,327,479,137,695,006,737,177,771,075,973,834,764,885,350,443,239,210,356,
476,277,012,704,127,012,932,136,861,500,844,675,236,520,389,022,039,996,736,
587,869,569,992,073,987,903,763,709,630,517,451,652,581,263,300,068,176,298,
725,889,790,875,335,421,236,447,533,059,781,266,800,986,417,771,459,516,661,
449,026,503,590,618,664,772,953,320,021,002,100,372,323,261,916,016,343,573,
374,327,696,511,057,782,240,272,251,426,584,551,935,403,915,953,232,049,002,
252,449,489,481,203,287,397,394,976,284,283,110,040,629,035,552,465,126,476,
719,787,373,104,387,244,478,262,460,319,176,099,761,094,999,852,721,395,527,
650,284,874,906,262,133,481,418,262,207,428,899,049,554,748,067,647,258,992,
441,654,166,069,172,629,354,186,545,155,791,213,273,098,428,321,811,965,972,
871,232,147,148,729,609,315,297,197,638,532,586,576,207,108,926,460,399,437,
914,752,351,962,285,604,352,070,484,807,317,127,841,245,266,052,494,211,870,
556,440,192,070,961,805,180,508,398,171,958,979,347,013,852,089,934,559,522,
451,606,237,690,518,272,494,201,086,144,995,536,370,961,093,468,512,979,626,
750,978,038,400,213,674,687,096,132,336,867,674,672,984,087,664,246,490,857,
900,134,403,322,864,032,716,777,354,175,295,256,163,286,804,653,676,910,790,
717,118,409,584,948,401,171,773,096,985,941,716,754,545,629,249,093,527,296,
025,506,254,733,999,881,619,985,141,509,426,299,085,073,037,517,872,281,691,
126,785,599,045,027,231,283,960,676,270,658,394,882,331,457,908,112,800,562,
259,302,991,342,720,050,918,308,250,682,258,942,082,124,354,540,425,125,752,
225,462,736,204,829,460,391,201,049,811,172,798,085,143,839,749,694,727,261,
449,129,086,685,148,139,174,511,875,116,141,955,016,807,341,640,453,029,324,
545,795,862,317,176,740,876,989,052,292,897,597,199,895,110,881,357,245,428,
156,139,887,708,697,184,300,928,341,011,821,731,472,399,665,671,040,908,936,
145,036,261,734,216,081,498,037,098,452,117,538,515,265,658,469,936,006,882,
429,055,087,092,285,043,969,160,314,149,086,671,435,748,787,540,743,214,800,
076,922,157,898,933,150,610,481,095,423,523,573,039,218,636,296,594,804,805,
736,156,062,563,239,205,941,905,489,807,463,734,269,732,823,327,026,759,408,
186,322,621,309,110,160,623,489,230,514,444,291,122,893,618,506,121,675,522,
273,103,358,947,558,053,492,727,425,801,598,437,904,230,540,506,619,429,722,
815,982,572,875,043,086,821,736,820,543,364,062,857,281,507,853,213,045,405,
917,192,742,262,264,723,712,483,879,357,508,842,451,449,511,883,020,794,733,
373,649,850,674,420,304,498,694,100,727,680,254,672,499,641,572,301,191,046,
888,683,299,724,379,116,212,698,533,095,259,350,882,832,077,138,581,480,854,
065,697,795,746,939,427,171,766,434,070,713,340,963,581,098,315,153,628,283,
158,992,499,476,275,091,115,540,403,837,624,920,247,298,868,729,515,883,063,
182,640,697,871,081,782,091,584,624,178,908,708,376,153,251,353,474,248,355,
886,183,705,082,089,805,888,028,435,108,905,602,513,931,027,717,716,755,055,
410,549,201,542,544,311,674,265,900,223,543,863,251,302,875,636,110,602,967,
374,040,413,045,343,778,850,932,332,520,898,697,802,575,597,061,988,782,199,
488,779,924,579,960,795,163,838,959,044,282,297,089,845,964,272,633,436,902,
827,202,172,750,092,534,314,948,546,586,748,203,742,370,834,609,565,892,955,
402,615,162,340,328,715,401,669,030,110,315,343,670,907,497,921,630,333,320,
952,031,538,122,734,577,971,919,932,219,860,658,726,813,438,724,188,242,337,
945,230,694,780,229,909,757,429,447,885,410,820,500,390,198,661,684,430,649,
962,627,261,939,525,417,623,931,147,636,521,712,047,597,294,400,497,790,452,
121,213,685,789,768,499,282,133,141,936,030,604,226,413,412,172,667,736,240,
231,131,164,940,751,844,741,323,449,694,732,386,514,977,715,282,690,751,108,
843,026,372,014,395,210,178,391,228,186,441,574,965,443,040,791,785,280,794,
332,173,660,288,172,255,048,448,538,585,906,072,440,482,424,315,566,993,006,
183,269,281,443,480,092,517,396,845,386,490,308,500,410,845,094,676,920,012,
381,758,862,292,475,658,730,906,877,736,875,851,781,740,742,501,472,696,101,
727,312,774,764,030,759,209,943,410,121,143,020,786,375,243,741,315,530,419,
772,046,904,120,459,526,623,829,787,310,877,510,542,277,212,211,467,241,724,
448,805,815,493,938,715,902,611,202,104,207,040,468,007,394,302,816,247,825,
640,579,248,791,623,711,349,985,624,836,072,210,041,632,029,250,699,645,542,
389,249,494,870,339,105,789,834,509,436,364,025,277,453,950,435,871,705,005,
377,143,101,348,407,898,243,401,565,744,700,982,610,808,300,010,199,334,269,
116,618,941,163,405,994,717,662,890,378,056,537,756,892,975,747,348,669,291,
110,589,308,582,391,066,270,371,608,433,535,098,271,814,068,901,499,824,443,
279,929,993,031,773,275,514,253,835,198,390,665,254,051,854,030,949,043,164,
272,116,910,515,571,845,007,210,093,420,768,522,263,951,819,367,131,416,492,
064,021,912,871,770,239,588,450,801,053,344,784,932,440,832,941,224,335,526,
376,123,638,251,494,133,148,374,395,448,314,357,151,575,739,426,110,624,396,
243,809,329,832,629,076,213,425,597,755,567,093,695,512,139,718,667,118,383,
749,107,425,598,652,432,528,551,007,522,167,267,196,951,392,634,873,459,643,
923,687,484,286,739,529,618,738,693,137,157,672,398,628,144,110,225,441,748,
866,547,456,581,046,878,461,960,236,425,077,781,245,732,377,104,041,123,353,
019,981,615,792,852,391,659,405,839,191,523,694,354,774,414,454,250,821,948,
943,245,709,308,203,381,590,268,505,756,517,967,085,977,017,778,954,949,304,
673,998,644,745,904,155,911,502,163,189,469,389,478,072,110,030,302,430,460,
254,641,676,949,176,129,206,543,773,475,830,661,328,405,586,963,457,268,675,
649,818,204,523,245,690,453,309,592,782,904,767,340,317,523,052,504,931,246,
799,409,335,991,811,498,515,513,379,696,680,851,216,988,565,055,657,841,094,
430,469,055,707,818,901,971,992,268,129,913,406,948,827,896,633,188,165,841,
210,900,945,737,426,603,287,351,128,350,275,093,757,464,831,622,125,925,461,
548,044,753,091,597,242,032,061,445,265,875,337,308,127,948,747,437,850,443,
538,531,441,592,005,333,614,232,348,022,308,283,067,534,569,411,300,868,753,
188,677,809,816,852,374,368,996,362,852,474,346,998,420,748,680,493,622,731,
688,031,715,678,485,335,961,231,341,371,802,038,404,878,827,408,215,426,991,
541,533,897,141,998,518,578,099,601,709,787,600,313,993,621,141,795,034,414,
323,085,433,255,792,427,769,477,016,211,454,503,899,213,903,291,543,514,933,
750,208,070,046,673,855,670,905,712,219,227,519,685,811,211,735,108,600,037,
511,565,076,533,622,561,961,007,052,207,468,338,105,139,111,351,990,355,711,
400,742,888,442,236,671,657,276,304,266,219,653,797,270,076,890,494,392,540,
618,384,316,628,997,832,969,626,110,229,436,772,237,802,105,882,233,810,344,
125,911,474,076,296,581,221,905,349,284,505,235,521,801,145,562,064,468,802,
073,909,322,105,386,348,602,783,406,504,647,663,419,361,781,054,258,859,424,
778,930,453,108,737,294,555,923,927,208,439,782,902,069,369,321,319,479,239,
521,382,529,745,577,501,830,155,408,441,061,528,657,026,428,333,966,276,189,
744,432,396,819,786,814,506,385,166,437,688,479,741,092,393,806,236,285,639,
834,796,255,178,616,820,300,220,379,402,214,971,666,663,287,485,494,166,325,
578,122,905,278,394,551,065,055,570,547,797,001,866,492,781,310,010,697,471,
984,753,617,992,777,409,578,827,881,800,942,823,855,084,366,752,869,651,157,
539,782,405,975,418,853,669,083,036,635,366,870,939,712,124,884,125,995,930,
973,967,666,647,951,061,352,978,206,833,953,269,097,011,585,623,120,983,040,
611,222,298,405,310,177,669,229,822,571,817,580,290,690,906,231,450,702,168,
747,845,356,802,096,242,516,044,899,242,259,178,859,758,507,782,343,010,482,
237,394,072,472,295,388,613,945,083,678,062,641,459,460,835,626,701,972,841,
364,067,740,748,660,033,958,400,974,064,540,525,791,260,335,763,213,666,846,
887,771,727,516,663,094,977,417,591,330,559,516,576,825,887,329,637,064,423,
967,935,587,491,176,767,457,405,588,720,067,937,024,004,241,934,558,553,653,
432,613,435,025,877,141,477,938,287,460,316,574,801,482,516,190,249,365,939,
554,353,964,145,324,497,309,384,418,237,345,016,741,182,170,724,376,412,099,
560,330,260,388,626,845,809,756,772,462,988,348,880,834,731,912,063,934,591,
319,388,882,967,728,566,824,187,273,516,842,062,412,885,817,087,145,020,945,
490,504,364,340,398,240,550,799,040,631,543,024,743,710,913,339,316,735,244,
648,293,704,232,496,174,980,488,888,011,658,165,658,617,403,921,922,635,561,
174,214,720,986,051,099,549,337,500,476,779,838,958,211,220,879,891,638,982,
992,978,160,439,814,143,782,559,683,276,490,198,128,216,671,622,816,915,841,
315,197,385,069,334,297,194,284,982,892,585,055,253,972,951,264,236,727,730,
713,894,264,905,140,807,708,793,045,027,373,493,507,434,473,739,040,303,905,
580,492,733,025,799,181,362,979,599,121,081,394,607,470,862,506,769,003,310,
426,308,072,843,456,080,344,830,043,304,834,472,277,176,238,685,270,588,851,
210,906,073,062,181,323,615,068,363,458,495,789,451,514,867,905,894,782,152,
957,426,549,031,786,151,766,940,678,665,492,892,580,790,866,350,381,372,346,
610,640,589,136,618,293,906,826,791,660,072,084,006,373,942,917,604,392,726,
448,883,556,746,881,218,017,111,163,177,597,104,230,474,136,656,271,935,884,
087,260,320,898,498,949,205,439,133,695,523,992,591,531,921,467,808,850,163,
223,323,138,680,755,793,952,678,405,161,435,958,195,881,942,218,957,592,994,
579,069,310,234,487,108,616,467,008,911,059,889,167,515,605,336,917,004,072,
472,844,854,179,969,414,628,774,377,789,870,088,700,903,613,322,599,318,595,
063,665,233,546,265,987,447,832,749,547,454,397,573,020,741,941,834,984,806,
778,699,894,756,106,216,149,856,207,081,632,431,180,605,912,170,742,522,928,
851,407,819,170,379,484,894,567,738,679,728,844,738,536,772,798,229,446,493,
790,144,283,519,993,108,803,553,252,497,868,691,265,563,105,314,075,914,932,
062,820,747,308,670,399,537,461,340,142,124,564,412,251,423,280,434,222,928,
914,144,085,912,382,477,317,528,769,750,903,917,502,968,663,853,656,980,749,
790,313,687,269,240,613,906,250,558,341,923,365,401,115,849,669,625,821,586,
912,095,064,475,853,921,215,169,325,877,807,335,845,831,860,642,708,617,709,
663,919,494,255,773,496,115,740,802,360,011,421,720,799,690,432,817,303,112,
666,618,327,404,953,826,946,868,636,774,850,850,062,272,061,066,800,942,397,
329,519,393,534,979,286,462,006,765,642,335,951,068,555,051,930,804,143,794,
347,836,866,217,371,944,426,078,585,800,369,423,333,963,711,262,738,967,904,
050,656,794,877,460,869,938,206,251,525,723,535,481,926,846,422,373,734,306,
750,160,925,886,943,916,170,343,540,334,561,007,304,969,412,168,074,854,140,
117,516,065,969,707,937,634,242,414,997,717,360,043,256,426,910,658,051,582,
158,857,481,822,170,126,591,307,316,900,281,167,154,060,452,344,773,299,707,
255,399,744,159,014,032,750,734,833,333,634,789,810,859,936,635,517,793,975,
853,016,200,765,308,515,661,667,700,088,323,799,310,683,729,741,739,171,914,
825,409,621,098,058,302,936,136,998,925,337,687,331,009,048,430,783,597,893,
722,079,963,839,836,464,058,926,640,421,193,036,346,187,898,268,410,445,839,
445,014,483,517,635,136,571,580,273,715,841,388,729,643,064,533,032,812,749,
356,911,598,292,674,407,905,924,323,294,626,717,665,917,510,974,301,415,795,
467,437,723,659,361,396,890,499,460,051,730,054,290,220,310,436,308,937,711,
698,398,650,583,181,781,654,571,930,098,327,914,478,916,322,489,109,391,566,
209,384,175,562,715,185,120,045,845,262,320,848,853,054,181,324,168,752,644,
462,536,208,587,420,922,173,076,567,157,998,844,410,062,578,990,660,521,786,
911,186,631,508,546,898,458,173,948,573,285,658,113,542,081,902,864,544,858,
115,989,286,102,490,952,543,444,036,896,948,486,911,349,895,807,978,036,843,
244,443,862,889,916,905,889,604,054,709,051,102,070,159,140,152,052,161,877,
152,561,794,869,657,314,447,000,787,165,956,364,291,104,620,878,969,583,829,
764,156,788,476,216,420,960,227,431,225,369,900,730,014,695,266,998,743,829,
379,173,831,427,695,872,174,113,488,451,324,728,679,845,112,511,265,217,936,
850,506,128,472,957,791,865,748,422,865,249,573,244,679,876,736,891,262,646,
751,649,336,951,083,885,080,201,350,980,771,788,793,479,301,068,985,606,243,
071,065,509,204,525,464,344,544,490,054,505,122,898,230,880,418,657,692,663,
103,566,273,012,148,010,356,890,114,642,168,454,296,936,152,544,824,929,654,
507,459,095,681,789,452,956,651,255,520,679,094,683,154,029,718,895,784,036,
619,553,927,070,599,773,748,397,471,045,049,898,823,953,045,548,658,370,462,
204,908,590,138,257,737,730,083,721,920,992,782,675,174,437,712,590,969,656,
275,157,954,756,574,254,796,450,182,729,868,595,272,550,601,375,510,962,092,
567,766,273,835,507,770,223,647,110,175,559,079,050,463,442,787,910,694,398,
361,481,915,634,282,317,363,123,302,727,940,755,584,614,161,645,544,186,708,
054,282,488,488,917,187,588,371,369,188,448,875,590,350,747,212,122,219,595,
764,682,046,629,182,340,461,909,842,237,927,773,263,185,645,062,365,457,234,
047,275,509,389,759,644,158,990,463,404,333,334,348,514,280,764,453,866,162,
284,282,661,236,745,294,084,173,488,495,440,079,265,610,936,927,838,179,591,
628,606,744,301,467,437,883,667,221,892,907,186,673,877,213,120,853,096,863,
528,915,324,985,078,138,956,910,330,914,848,846,500,416,678,483,238,397,310,
422,412,370,441,793,415,573,465,798,010,618,619,052,350,330,674,009,471,116,
861,361,175,395,551,109,218,743,962,745,794,607,260,207,078,498,492,570,546,
961,101,287,335,615,627,898,586,813,549,979,039,589,840,315,867,345,365,350,
011,698,046,188,067,561,999,209,918,913,470,353,422,224,270,875,410,258,231,
947,475,985,489,294,144,480,416,659,678,024,950,287,822,135,041,511,564,029,
083,133,095,139,859,886,767,130,289,853,597,739,998,070,546,490,376,897,543,
850,207,409,583,232,957,198,323,224,656,453,033,182,922,214,463,871,695,463,
959,112,231,655,641,334,391,646,442,243,574,981,726,904,592,719,241,847,679,
739,695,438,836,475,129,872,398,031,548,383,316,577,330,668,897,621,076,680,
479,251,364,139,656,704,001,114,277,891,637,413,351,505,704,431,303,196,820,
245,885,191,767,390,765,136,043,648,054,350,566,285,312,570,884,960,736,299,
979,459,801,362,291,226,724,055,277,154,404,270,588,544,263,331,726,864,261,
189,716,842,150,370,138,384,965,378,404,888,313,981,833,676,991,492,973,022,
226,381,708,024,853,068,338,428,339,434,753,079,056,067,788,492,318,866,627,
863,151,713,791,652,767,631,868,080,146,921,594,939,625,620,385,398,188,716,
902,208,647,220,743,060,633,200,097,886,256,821,977,145,789,980,440,652,659,
285,361,037,593,207,582,869,765,601,102,431,909,107,091,754,286,421,799,036,
608,506,236,153,041,853,054,325,180,767,511,853,241,418,832,052,158,260,395,
034,958,830,954,825,308,781,956,455,256,953,990,607,493,512,654,880,603,116,
821,011,476,913,124,412,809,672,338,207,273,065,409,644,681,959,176,999,309,
448,700,827,217,981,042,498,533,450,136,072,094,868,125,115,617,713,635,299,
369,166,430,355,020,425,809,512,845,900,650,043,988,757,684,930,917,659,187,
839,331,344,253,609,110,805,972,609,067,698,843,717,443,731,883,228,619,982,
369,665,886,766,263,012,021,109,563,421,487,603,869,748,042,421,844,667,704,
117,749,062,651,305,587,907,867,975,227,058,957,644,187,800,447,942,713,455,
618,724,695,477,476,230,789,694,173,286,412,792,657,297,457,240,789,501,018,
746,924,169,859,823,114,035,513,631,885,255,309,308,248,469,404,021,394,186,
560,331,375,427,358,265,444,179,709,213,930,980,014,657,751,814,958,031,237,
727,704,393,316,080,134,914,054,718,687,591,406,276,064,913,228,645,974,036,
374,433,129,560,131,740,993,333,105,486,564,662,351,669,816,714,070,718,001,
895,071,781,971,220,179,870,462,320,251,060,647,723,051,843,858,505,198,160,
384,995,507,692,683,217,406,536,134,441,934,727,873,983,692,436,084,771,652,
036,225,621,475,233,352,175,205,120,858,358,238,681,313,748,127,953,871,242,
920,102,128,350,769,293,204,691,679,577,301,283,055,192,796,744,054,748,947,
152,879,359,658,498,505,026,607,488,452,810,987,841,007,569,912,424,100,872,
786,342,503,567,825,698,120,931,448,486,310,380,610,609,241,959,086,636,791,
699,711,895,996,267,050,112,304,230,087,348,732,115,199,417,125,750,107,903,
602,038,294,082,650,295,565,713,514,362,505,262,463,695,625,055,873,277,686,
973,543,245,090,351,428,474,930,697,545,506,428,038,958,045,514,062,735,511,
343,743,374,490,122,996,050,328,301,142,885,074,370,777,206,213,489,396,418,
551,617,080,899,583,151,342,570,913,182,124,868,363,447,153,040,039,958,232,
351,621,235,148,914,948,939,455,865,701,421,495,723,597,025,585,159,564,345,
015,319,054,680,434,256,076,283,051,249,296,827,592,317,020,516,728,454,956,
684,116,161,808,058,238,195,743,440,745,222,474,033,227,228,364,068,578,339,
256,871,193,935,533,557,108,759,463,036,836,945,368,459,212,848,804,637,540,
522,211,120,996,999,228,167,773,093,300,690,297,221,417,468,026,977,312,068,
680,473,300,242,903,236,385,103,122,815,329,808,337,956,079,958,425,443,862,
175,821,746,768,916,809,021,697,075,803,303,569,081,782,475,227,368,293,242,
348,945,735,765,941,121,425,581,285,636,905,470,867,682,923,525,179,100,701,
142,420,364,003,390,004,654,973,333,386,624,621,918,420,266,773,647,388,874,
543,504,293,096,417,882,422,106,187,953,084,999,731,457,391,226,706,717,003,
956,421,503,557,600,622,215,244,611,630,957,647,725,577,869,950,139,796,060,
494,210,276,698,996,185,357,996,519,380,563,061,394,913,521,757,382,192,939,
835,482,679,762,075,125,274,168,002,504,413,533,169,617,244,272,816,415,432,
861,605,845,522,161,801,854,778,427,787,790,072,396,627,001,055,579,143,582,
650,923,545,032,783,788,602,661,502,314,653,408,987,416,701,019,501,733,715,
161,880,633,168,267,606,410,873,898,847,308,396,683,184,142,391,889,880,310,
932,914,361,389,074,158,428,254,546,428,346,450,616,007,666,610,363,284,110,
020,426,149,940,983,040,854,792,383,172,264,522,728,626,379,414,415,589,441,
831,192,113,827,087,494,878,118,539,408,190,585,011,199,261,843,190,982,794,
004,044,187,680,912,034,507,691,296,935,030,280,734,546,120,027,456,241,099,
287,943,907,795,009,606,231,277,572,345,208,862,472,214,984,057,899,066,380,
029,275,862,737,954,143,507,513,244,588,996,925,463,161,344,419,508,676,099,
312,309,516,973,985,452,114,856,340,408,101,429,391,743,492,023,324,765,634,
910,968,550,830,129,595,015,035,412,576,680,953,412,030,988,394,878,684,225,
094,313,850,859,494,406,680,322,879,991,562,835,362,586,813,756,712,868,088,
243,579,794,966,654,678,998,554,536,776,572,252,284,778,639,143,455,078,911,
891,740,375,906,478,760,804,668,026,121,354,806,331,924,526,423,069,880,093,
908,956,572,993,622,637,474,207,626,282,043,783,534,588,593,470,118,025,055,
804,220,338,939,379,863,673,120,735,154,863,177,244,652,618,033,268,807,888,
795,521,697,272,984,584,914,552,238,788,847,887,186,209,428,166,040,974,508,
681,148,620,985,793,344,024,610,941,442,680,560,439,952,041,649,610,796,330,
566,214,360,332,916,488,405,845,679,132,424,680,860,776,228,734,100,301,747,
942,003,559,641,005,105,461,957,960,859,769,040,643,349,600,407,519,155,146,
304,994,908,723,816,076,979,181,067,901,944,995,276,508,212,473,054,318,071,
916,760,121,736,280,732,641,385,479,507,694,646,831,582,982,787,140,745,267,
553,868,956,756,557,871,332,715,582,748,353,643,808,611,743,172,152,541,271,
261,493,365,838,418,572,152,870,165,122,426,340,583,964,739,496,626,349,589,
646,054,036,410,663,558,468,843,272,410,331,980,071,983,840,366,879,600,413,
054,062,788,579,335,409,122,786,929,505,737,804,054,972,254,527,094,084,134,
926,808,248,037,301,504,934,510,870,572,576,359,781,532,078,146,421,690,211,
191,936,610,700,652,841,614,098,611,514,266,380,622,494,469,335,200,207,794,
155,909,720,990,411,911,464,709,515,440,229,646,537,334,393,345,590,398,033,
161,907,023,092,292,669,884,486,973,564,994,583,011,426,319,738,824,561,525,
181,999,385,787,563,011,859,738,439,255,172,345,796,431,081,660,101,135,156,
363,977,039,416,779,688,242,723,988,594,114,919,908,924,908,156,807,474,350,
332,053,984,902,777,864,010,392,728,618,513,227,701,002,114,883,273,108,134,
359,017,964,538,186,838,725,242,628,761,480,981,019,620,126,808,458,276,554,
162,896,137,703,276,493,679,574,956,239,785,366,134,625,243,414,125,843,561,
986,263,297,779,008,672,382,809,778,091,849,163,709,976,675,139,758,032,584,
683,882,150,525,640,700,329,486,821,578,028,452,796,201,729,016,138,773,429,
258,328,432,814,201,331,025,839,591,767,579,337,322,581,839,185,126,104,628,
494,024,254,900,430,871,466,501,393,285,790,212,213,808,645,803,432,828,023,
225,252,275,142,591,651,640,016,970,351,669,091,214,479,500,826,669,933,848,
339,222,323,192,476,310,755,702,043,699,911,503,724,509,285,127,706,786,678,
089,321,689,075,121,761,184,151,646,648,179,295,521,853,116,931,677,401,362,
106,136,315,589,620,066,789,230,257,727,959,953,061,001,918,263,479,111,646,
170,031,216,311,184,178,731,070,066,469,493,266,533,027,661,096,945,434,864,
191,368,445,128,958,208,977,795,225,006,152,012,255,621,818,217,551,136,263,
086,501,439,244,196,235,560,342,533,319,935,158,066,606,768,641,921,454,245,
219,207,236,390,094,438,468,214,808,511,877,522,155,434,130,666,749,068,453,
332,891,545,061,540,868,612,607,540,198,515,303,767,078,690,368,740,481,124,
740,700,500,880,507,189,537,566,525,191,544,931,707,958,355,527,486,918,782,
370,153,985,782,571,943,847,049,646,031,525,634,697,355,646,073,858,868,860,
532,834,306,180,715,273,652,890,401,445,703,351,287,209,354,097,886,871,578,
523,798,203,638,309,986,608,646,526,502,665,420,040,870,456,798,621,384,788,
508,207,640,974,237,267,746,187,233,530,539,569,116,234,464,807,818,392,993,
279,312,481,216,506,680,698,551,710,177,334,857,910,704,589,207,300,707,232,
560,610,755,884,897,370,817,319,918,560,403,564,586,243,408,994,245,296,302,
362,894,157,816,197,314,138,930,436,550,041,163,018,681,691,392,643,480,485,
300,454,506,109,985,306,174,390,232,938,546,048,604,620,209,260,937,300,311,
967,633,718,319,790,155,809,747,919,618,559,561,846,747,195,015,161,012,935,
391,525,596,096,265,407,002,980,140,258,932,713,673,539,523,529,013,375,981,
615,520,176,821,325,330,604,980,702,595,503,491,489,967,234,286,609,209,259,
323,065,709,961,925,596,652,979,406,088,637,560,849,460,623,001,005,456,768,
079,144,140,464,994,798,912,860,591,717,093,948,768,049,324,731,330,324,872,
450,033,145,988,606,150,493,989,667,943,334,446,314,039,972,322,744,229,822,
888,956,127,826,530,883,316,515,869,841,817,291,803,874,052,843,858,243,931,
947,283,391,562,568,742,006,553,142,877,204,132,450,330,692,087,143,005,317,
809,482,585,951,202,462,468,584,202,779,381,343,755,694,203,301,347,657,993,
424,125,556,580,640,011,094,675,435,143,843,228,032,811,072,071,237,096,926,
124,949,045,632,960,717,008,151,018,664,563,307,161,702,551,405,876,194,126,
321,662,703,093,853,398,897,205,048,755,863,190,797,484,018,008,014,162,108,
431,691,768,848,259,685,092,682,284,752,303,948,819,252,513,211,171,403,166,
593,352,985,108,213,317,890,110,899,795,524,922,557,220,522,541,240,879,128,
665,149,616,808,656,727,391,957,412,640,367,470,284,541,978,542,563,188,425,
606,716,230,728,629,989,447,304,634,891,793,974,644,755,742,206,507,328,278,
800,358,404,842,771,664,924,472,893,356,632,772,365,628,587,788,106,636,461,
283,030,769,874,796,314,489,959,129,093,454,700,841,299,410,435,541,911,037,
337,552,049,847,352,893,654,660,529,680,166,828,193,996,723,772,004,786,886,
136,755,825,705,788,550,864,884,523,409,964,250,903,545,378,562,755,596,658,
211,884,903,606,283,456,436,671,031,758,989,439,110,592,529,738,519,026,973,
342,027,588,424,852,850,054,077,693,515,989,773,740,641,353,240,478,930,277,
918,073,952,930,444,766,669,035,291,174,238,154,822,317,666,717,411,708,132,
922,579,823,286,083,004,938,771,229,134,384,042,585,217,094,096,166,785,893,
326,745,935,604,882,457,818,536,893,281,219,641,611,645,994,574,943,150,216,
619,297,247,996,642,284,453,068,896,898,330,190,369,778,633,979,985,969,336,
657,613,001,334,656,235,759,060,246,242,054,397,357,452,722,879,704,811,601,
852,860,874,464,120,757,732,233,621,893,524,403,970,069,006,848,171,595,771,
395,456,154,682,193,495,899,966,309,255,381,915,569,141,369,915,493,540,516,
171,608,282,250,077,751,004,685,616,143,527,603,711,863,419,673,359,264,956,
482,696,745,134,949,058,527,854,409,673,395,641,055,201,192,972,383,366,154,
991,909,238,292,363,373,350,975,634,436,661,711,530,100,551,667,304,092,757,
947,229,867,012,312,444,246,529,450,254,613,664,469,655,795,862,308,411,848,
446,191,397,814,396,765,977,271,498,483,317,448,005,709,901,403,831,599,210,
788,392,914,005,658,381,891,288,237,612,980,119,928,236,409,734,204,701,674,
411,823,256,354,468,953,835,410,066,077,087,631,431,274,711,698,676,061,413,
271,898,254,589,478,145,368,371,090,691,310,748,918,223,995,092,643,858,736,
537,768,617,609,049,063,217,303,216,540,974,771,051,437,785,080,787,904,772,
944,638,949,808,545,953,632,358,594,769,958,910,797,690,352,329,350,269,411,
748,949,075,680,178,409,833,593,554,836,676,596,686,362,799,051,136,504,879,
605,383,422,502,333,453,069,584,016,329,297,890,317,035,649,918,806,113,705,
240,314,209,286,692,318,596,986,628,395,147,914,650,262,178,514,476,566,913,
036,503,741,756,066,334,118,633,965,231,858,517,472,663,827,070,465,585,422,
719,814,474,431,697,958,438,857,622,954,301,386,201,356,891,580,282,911,523,
622,842,812,839,132,824,769,931,749,437,381,622,755,511,493,133,527,269,482,
317,796,028,797,373,012,017,123,300,989,700,599,235,574,697,880,809,919,132,
190,995,909,307,560,888,972,603,889,600,952,838,167,179,152,584,386,567,708,
245,395,853,256,010,486,723,920,905,864,619,147,350,317,182,730,779,968,416,
246,269,616,967,055,147,248,194,284,561,312,038,847,833,321,311,154,078,196,
499,505,532,372,894,360,571,051,965,848,112,274,296,762,868,865,320,653,742,
160,286,030,238,767,405,795,640,052,762,468,855,050,206,128,533,256,643,854,
315,630,804,732,732,777,399,893,805,322,366,164,811,307,585,536,043,336,587,
060,938,662,029,299,294,257,584,668,646,513,690,595,133,284,958,137,505,321,
072,852,830,589,915,017,917,344,047,310,194,339,009,428,351,813,459,214,571,
845,881,929,103,146,757,709,278,335,311,759,371,549,285,719,724,895,785,632,
197,700,459,753,816,127,962,949,275,688,765,424,202,394,507,680,646,201,275,
995,277,458,099,874,941,685,582,044,473,354,265,848,014,960,592,523,967,611,
289,037,878,699,980,284,012,738,444,219,168,952,209,214,306,004,858,668,849,
722,665,036,444,196,758,034,155,190,348,468,502,270,378,421,523,700,704,609,
552,732,053,040,276,361,924,677,489,377,765,826,503,626,862,696,270,246,283,
809,446,773,814,332,764,555,936,783,950,016,078,837,648,114,690,445,700,587,
409,595,273,353,219,156,706,357,451,142,588,312,017,536,169,521,639,856,177,
027,921,555,497,452,452,733,179,556,961,665,810,757,692,287,825,866,184,512,
147,769,789,869,265,821,029,626,438,807,295,830,042,696,525,776,636,762,161,
409,235,644,659,516,837,061,890,369,841,290,520,886,113,699,202,594,862,734,
643,084,325,011,657,667,973,591,694,279,241,914,430,964,921,864,792,526,800,
157,488,439,906,823,149,006,281,900,825,854,915,978,556,269,940,795,982,074,
114,743,413,688,868,546,738,107,413,907,649,873,913,850,738,642,156,221,466,
988,708,301,734,578,720,490,408,205,076,565,179,987,081,236,876,389,563,497,
666,111,463,020,696,619,117,560,672,019,541,244,542,998,144,675,080,648,707,
669,866,953,791,925,087,813,310,619,597,399,529,993,117,092,381,815,780,831,
216,229,780,148,851,286,438,881,776,486,807,568,714,095,355,525,326,235,250,
482,828,134,745,658,718,073,594,958,599,910,404,246,693,475,581,999,268,567,
300,546,144,408,833,723,365,070,910,812,322,427,889,311,369,827,419,298,302,
429,569,770,394,466,988,332,076,240,652,157,749,407,055,698,998,752,765,583,
354,464,691,197,684,335,257,930,096,123,029,605,670,218,084,504,718,828,533,
868,753,905,825,328,185,203,680,821,800,830,899,319,767,059,413,432,380,726,
036,697,175,856,449,353,108,034,190,119,572,175,651,452,675,045,098,576,578,
727,356,292,736,305,090,560,795,591,259,442,303,073,887,461,185,065,429,277,
070,945,841,582,515,514,634,968,675,916,781,271,503,605,466,831,900,990,943,
497,544,995,247,275,481,151,356,850,049,661,749,414,387,096,318,460,175,298,
706,910,451,078,255,967,528,146,755,729,833,726,461,481,715,303,289,674,067,
140,523,114,343,025,383,631,016,235,275,764,705,551,654,773,628,005,693,866,
317,917,424,882,922,126,632,992,004,343,819,771,075,317,782,414,255,070,486,
232,676,737,543,536,912,716,234,808,161,889,052,366,233,364,555,957,328,620,
394,867,898,708,450,516,203,509,062,736,107,753,494,612,208,690,836,759,339,
933,789,602,321,418,193,162,754,578,091,544,869,294,547,226,410,805,213,752,
490,270,648,973,627,399,607,691,419,766,942,470,073,725,363,509,328,701,148,
392,791,592,030,770,153,177,539,161,700,718,836,591,073,491,057,142,186,806,
908,816,454,631,936,040,416,710,265,194,347,486,429,628,023,528,093,343,292,
577,796,956,368,596,866,639,505,187,206,356,366,546,438,996,911,422,925,281,
570,501,081,229,868,213,772,621,725,454,506,377,514,045,347,274,714,607,856,
718,826,488,352,479,312,599,838,654,490,398,297,482,655,152,688,766,378,534,
819,917,324,226,750,352,656,679,237,374,548,856,314,320,429,621,150,560,199,
554,906,669,660,909,250,806,205,776,838,868,921,719,042,587,060,867,712,614,
174,910,310,585,557,414,642,073,568,639,468,639,336,621,322,518,661,202,476,
412,246,186,815,877,800,058,325,265,537,590,742,812,754,327,088,319,167,539,
052,519,023,647,413,303,393,430,041,542,266,113,266,931,013,243,497,922,164,
365,704,079,563,253,267,871,229,556,545,601,301,977,938,104,284,108,533,004,
609,777,112,610,225,951,981,060,581,524,633,110,857,379,057,981,922,106,682,
084,025,644,636,735,235,299,752,709,670,690,110,487,029,674,669,885,993,974,
347,093,578,317,010,992,249,662,105,482,669,274,014,207,857,004,457,293,574,
200,868,286,850,831,062,948,277,740,940,189,257,288,345,377,924,537,376,920,
750,989,216,777,111,679,855,492,857,525,302,545,544,542,217,219,691,197,216,
437,228,533,776,949,910,391,915,423,111,527,661,581,332,622,650,510,764,656,
445,457,005,680,024,917,518,107,109,744,575,370,766,322,323,969,149,927,311,
346,410,685,172,868,131,394,117,070,331,566,940,769,113,889,985,683,864,683,
474,975,776,617,853,060,689,449,272,681,280,117,083,261,286,296,701,364,972,
893,689,469,811,074,603,401,500,672,791,381,546,531,175,037,992,589,655,149,
127,835,487,235,305,356,603,256,320,801,716,729,067,368,388,270,854,749,733,
391,782,012,147,256,189,796,541,571,897,878,985,870,073,821,218,506,977,451,
500,403,985,335,763,030,170,952,473,106,844,009,195,766,444,590,049,865,677,
897,360,786,068,440,136,486,799,045,724,776,072,723,433,139,745,098,412,068,
813,824,467,722,309,635,085,832,863,896,043,454,091,974,012,714,964,604,942,
005,485,334,035,624,224,271,889,857,345,045,265,319,199,648,670,225,964,399,
191,070,779,737,431,364,774,700,870,979,631,091,172,956,289,328,257,814,664,
292,130,139,283,336,639,536,370,993,925,228,970,832,508,946,644,760,120,853,
959,912,836,097,942,113,777,772,585,863,559,975,778,432,496,079,811,730,125,
019,803,008,382,459,258,791,680,146,213,440,895,320,551,077,963,400,077,922,
648,343,441,689,430,809,023,148,360,214,498,468,932,283,042,130,870,320,771,
289,581,845,361,844,380,716,676,723,569,734,849,902,152,343,182,734,674,603,
412,274,021,448,716,525,046,842,842,714,243,879,864,528,409,919,489,050,720,
793,547,735,719,608,971,004,290,954,014,075,337,018,338,765,262,580,678,486,
223,869,748,163,453,800,056,120,455,034,124,563,472,245,913,928,593,287,329,
514,872,989,205,497,539,662,656,134,868,169,455,360,742,721,264,876,796,710,
828,990,387,710,033,249,920,931,432,920,493,506,943,650,821,710,901,253,726,
306,591,576,485,651,203,760,717,678,669,384,210,858,437,090,935,046,208,803,
312,803,032,136,116,092,109,607,937,044,930,976,161,639,884,644,505,415,489,
335,663,902,232,519,454,485,436,639,301,101,143,778,377,320,493,352,835,905,
602,370,943,199,541,719,168,806,534,622,815,728,619,138,989,784,191,543,587,
028,463,144,100,569,098,238,272,678,081,660,143,364,517,004,958,008,373,784,
433,779,730,640,061,593,968,532,792,893,363,948,694,030,714,171,043,389,726,
371,050,617,835,350,912,743,645,536,170,092,372,448,956,951,057,010,528,102,
539,699,577,853,653,208,452,705,616,388,340,891,764,981,232,187,159,112,706,
671,128,352,776,814,708,917,770,045,860,770,764,202,416,970,992,037,434,791,
899,052,625,338,066,553,263,124,031,227,937,130,909,255,091,086,603,148,623,
441,108,058,603,595,453,246,887,286,000,707,775,832,470,973,767,658,806,107,
342,032,737,679,299,855,626,675,638,200,135,773,080,439,152,618,123,868,774,
409,547,674,745,750,554,858,501,611,118,935,515,140,528,665,657,090,604,242,
013,278,147,139,893,187,743,765,527,767,012,454,102,619,730,943,270,789,979,
115,262,524,117,278,942,597,893,742,852,453,173,780,202,533,971,056,787,645,
407,765,147,991,667,462,987,063,267,786,093,870,066,605,771,951,076,475,170,
843,060,256,290,887,559,672,595,604,270,532,245,248,524,630,231,275,546,369,
607,632,308,282,887,519,801,802,973,570,489,381,613,271,672,659,138,686,971,
849,186,106,474,376,340,893,486,443,750,561,844,183,458,859,294,409,566,117,
282,271,787,992,487,305,367,829,343,003,018,510,169,658,647,358,688,801,450,
759,445,572,887,001,125,804,445,433,273,731,180,800,550,671,880,241,864,953,
037,659,271,527,217,949,886,493,482,066,021,508,928,379,818,814,025,479,169,
107,743,346,593,372,949,311,438,069,424,726,573,156,060,888,114,571,229,525,
544,244,782,984,636,118,293,939,257,739,784,974,056,399,426,624,890,331,120,
974,070,025,122,097,855,740,848,329,947,227,103,701,012,281,239,507,492,506,
354,975,413,379,014,245,739,814,432,812,903,598,419,790,679,140,403,319,496,
139,132,005,055,030,748,511,084,084,656,499,059,301,131,093,165,747,736,048,
081,167,755,837,111,413,669,146,667,577,977,940,144,566,629,163,545,260,323,
303,509,807,796,896,646,247,459,826,341,687,308,980,289,405,958,812,975,554,
520,868,519,536,347,436,205,965,385,940,952,518,606,683,187,516,684,760,805,
564,567,772,706,727,074,833,657,388,705,043,570,651,198,494,925,633,636,406,
692,978,494,034,061,988,891,577,103,202,994,608,617,042,381,529,791,962,781,
095,077,284,904,153,774,418,203,735,873,160,787,474,312,868,078,013,751,894,
758,551,055,210,114,750,544,765,526,258,908,531,166,685,360,735,151,697,719,
934,381,461,963,644,609,157,037,486,720,342,438,537,826,274,765,342,887,603,
445,640,079,829,226,048,868,630,561,045,682,537,069,886,156,854,664,065,116,
569,029,016,743,098,405,429,957,345,312,347,897,302,440,329,121,886,135,172,
914,231,656,387,022,459,434,310,558,318,584,350,579,058,352,735,981,899,556,
349,320,142,414,999,502,905,959,805,265,715,246,568,806,870,033,975,074,406,
973,823,145,787,232,948,495,451,703,985,027,445,983,546,151,206,402,961,048,
704,560,115,151,056,318,328,171,054,827,094,740,008,999,641,505,990,662,199,
960,329,543,943,782,973,913,626,815,881,286,616,016,922,208,383,003,260,807,
440,060,257,511,397,036,040,274,829,292,453,043,967,928,052,274,028,545,440,
667,756,527,719,143,020,845,358,436,305,176,226,799,535,652,119,989,496,490,
871,048,649,298,537,015,178,167,109,387,091,198,158,902,630,847,726,998,454,
124,921,910,627,717,788,703,530,886,659,099,902,736,750,181,140,305,536,777,
464,326,573,773,866,419,208,212,253,066,095,193,646,450,004,696,526,389,247,
386,459,107,765,085,407,111,645,825,832,156,435,046,954,695,170,112,456,811,
472,621,808,742,299,888,449,579,187,767,245,614,953,393,824,350,056,418,506,
841,130,590,927,697,741,229,272,394,444,099,098,385,986,448,340,746,001,402,
814,221,393,751,489,412,459,284,761,759,602,782,810,682,748,626,307,192,899,
900,310,040,910,585,858,622,369,004,533,833,111,258,536,998,360,829,198,547,
413,090,131,355,071,990,724,235,670,150,861,011,039,134,835,690,123,944,892,
332,260,243,508,449,023,520,939,730,554,965,362,324,682,229,636,790,146,822,
862,106,227,772,048,174,382,025,704,045,486,475,951,548,371,576,095,675,785,
543,284,874,785,633,039,946,465,873,931,163,150,552,129,766,343,133,174,555,
230,293,412,331,729,097,551,055,967,014,817,046,554,321,852,673,797,655,420,
367,159,153,222,984,926,345,422,146,245,517,997,878,194,041,418,908,594,666,
796,178,072,182,135,333,493,247,805,429,151,001,939,603,902,217,504,014,235,
851,317,970,805,303,354,846,855,966,577,411,927,724,143,736,252,431,977,341,
686,449,843,632,267,890,228,317,542,319,565,083,367,498,424,836,838,218,140,
497,186,801,825,650,672,179,375,230,396,098,350,337,397,588,387,587,614,777,
139,966,232,842,117,860,826,807,436,142,921,881,695,405,635,913,363,755,605,
949,032,584,627,461,523,746,464,693,933,387,186,225,457,900,238,514,541,649,
954,268,034,426,996,522,231,036,291,929,498,917,051,821,238,189,783,009,578,
468,802,205,297,632,901,594,634,683,476,331,719,152,103,948,586,787,271,079,
973,848,686,706,148,153,708,272,594,668,558,463,922,814,530,702,141,079,960,
705,363,095,144,265,401,789,347,011,546,760,079,008,971,748,645,459,237,781,
922,270,879,992,239,095,087,714,875,686,160,204,216,835,445,025,963,581,056,
854,684,069,759,787,274,199,449,189,214,106,219,130,074,647,659,334,244,182,
089,112,550,993,437,072,706,678,952,932,273,521,027,485,466,227,894,843,415,
469,237,830,463,090,262,463,158,552,129,091,146,234,941,815,919,619,878,732,
653,433,303,607,976,070,567,986,467,589,825,477,893,106,442,430,705,796,815,
512,478,005,848,528,812,373,770,319,469,703,148,863,776,382,704,970,974,919,
394,662,302,831,619,686,954,654,135,962,159,735,857,856,726,184,925,120,412,
192,093,149,026,739,055,321,446,048,592,950,858,893,468,123,537,590,600,415,
177,938,443,152,017,554,787,729,375,044,100,228,643,218,239,661,157,146,766,
471,373,873,506,049,376,972,807,949,116,089,101,316,130,383,589,759,347,486,
339,127,906,257,880,547,278,432,453,184,023,351,085,866,056,510,921,542,597,
769,884,398,060,675,737,000,626,026,791,857,473,820,487,540,148,466,152,814,
481,480,467,680,892,764,592,249,541,425,724,313,838,237,442,588,116,457,530,
722,264,613,148,677,567,250,779,571,201,235,324,723,750,617,593,508,898,289,
424,116,892,887,953,718,865,131,480,326,088,086,358,091,568,333,703,360,850,
112,780,325,615,868,712,683,933,833,159,733,701,107,944,664,821,958,950,863,
707,372,890,064,153,951,046,057,390,625,075,075,509,849,121,731,725,789,059,
837,832,758,051,289,686,716,798,197,526,501,920,817,016,850,655,925,208,952,
150,135,262,356,188,137,555,025,637,622,761,620,769,438,597,410,210,995,279,
279,699,330,720,451,448,128,161,167,871,953,378,622,419,506,463,617,512,636,
445,068,851,078,758,494,694,511,621,960,639,240,487,169,668,402,091,060,010,
222,546,297,477,937,771,681,764,762,914,590,721,209,719,349,043,220,298,150,
515,609,409,459,159,995,829,192,774,553,666,767,734,371,313,451,432,680,061,
756,436,955,774,867,166,828,575,927,665,478,862,766,686,547,043,117,751,299,
053,030,267,363,199,062,008,796,707,257,957,159,293,840,182,827,185,385,149,
018,001,844,001,558,386,457,536,647,070,448,973,963,427,362,212,979,465,162,
221,219,603,461,770,592,017,742,357,985,663,113,481,544,113,765,678,708,533,
206,647,951,065,314,866,192,817,396,200,237,352,791,667,492,121,055,954,488,
848,335,616,434,809,795,582,650,710,372,828,776,873,793,430,220,141,652,041,
321,730,875,560,519,390,299,655,696,893,639,636,613,392,361,704,719,706,231,
165,524,942,542,643,768,600,125,311,457,803,746,951,926,553,583,188,542,820,
700,082,531,933,794,097,231,132,803,689,925,502,364,271,476,705,544,265,473,
839,186,434,125,976,255,372,920,841,283,741,641,828,421,595,256,333,524,222,
600,973,155,965,400,714,514,507,435,876,479,009,205,167,150,968,933,915,215,
951,421,798,631,557,689,347,985,555,542,965,654,054,242,012,917,606,438,735,
905,918,102,256,829,345,316,081,028,265,693,141,553,038,676,247,246,429,124,
405,459,090,486,896,192,106,542,250,276,797,912,279,447,438,307,527,578,716,
549,552,994,959,843,823,694,657,593,625,103,717,373,515,310,110,830,112,913,
492,715,593,045,123,901,865,337,020,635,637,723,377,797,286,002,268,798,624,
044,539,230,430,809,158,878,737,675,476,044,529,564,351,655,283,968,573,121,
019,252,281,153,375,515,371,360,249,436,816,061,798,041,551,383,192,317,450,
407,948,813,037,022,255,748,718,875,719,417,999,324,091,939,247,520,578,937,
908,194,763,339,816,485,738,624,545,198,458,780,605,851,591,880,899,055,214,
636,463,275,506,095,834,073,261,860,598,051,181,085,651,137,609,104,417,413,
012,920,390,893,985,156,840,396,462,097,961,446,451,944,742,583,945,315,427,
951,656,135,203,624,215,462,675,875,021,896,905,703,352,532,304,108,149,068,
474,651,673,693,820,934,738,453,715,074,085,230,533,699,861,471,016,061,918,
960,977,745,331,730,273,476,341,787,797,760,286,625,070,570,982,430,078,492,
776,390,070,104,287,670,905,018,859,867,759,044,294,606,360,722,055,663,304,
795,571,022,485,399,102,814,106,274,326,387,660,735,117,951,843,194,520,606,
430,238,401,534,722,705,356,621,652,810,843,364,912,811,820,408,007,470,141,
920,351,264,603,271,299,788,944,816,288,766,099,805,250,370,531,177,071,231,
894,517,397,721,865,395,665,216,406,802,407,364,672,376,047,840,206,857,972,
171,192,626,348,219,185,944,464,244,162,714,708,703,224,668,626,269,416,434,
860,134,417,728,859,425,960,328,382,848,134,228,453,537,554,211,495,053,985,
792,949,310,761,182,531,463,554,746,107,453,239,441,038,070,283,252,107,824,
694,483,427,845,643,287,482,762,504,213,946,988,503,653,822,531,117,582,659,
742,456,363,403,301,884,149,633,828,800,712,329,865,665,947,087,198,981,612,
613,226,963,595,175,485,145,336,051,640,066,918,287,112,420,306,300,865,478,
852,558,357,517,684,153,967,702,611,431,457,921,553,163,364,283,962,056,219,
045,306,420,119,475,991,066,643,291,296,516,476,381,338,210,093,718,710,696,
086,692,634,971,076,336,664,966,730,078,927,384,279,194,846,785,191,168,206,
641,655,780,285,096,803,675,134,828,181,682,221,036,710,695,462,366,825,285,
033,007,392,279,767,571,527,856,516,903,252,559,030,947,415,012,309,618,198,
359,516,768,334,565,974,175,830,361,073,380,450,706,668,918,586,719,039,464,
700,849,482,776,261,768,514,358,894,489,916,756,010,282,810,769,444,803,926,
013,652,499,660,545,056,229,086,942,384,600,607,383,220,546,588,971,383,498,
763,756,461,170,131,725,709,907,539,266,693,476,340,348,949,473,163,635,286,
420,939,106,139,665,880,485,804,850,716,558,445,822,636,126,137,907,907,279,
208,130,127,318,366,972,207,054,869,813,330,318,047,390,978,014,482,130,695,
062,099,234,430,960,627,124,696,688,663,538,084,796,138,904,800,467,730,795,
663,727,133,180,930,082,396,049,544,299,825,947,019,992,517,531,312,948,733,
618,559,680,967,352,869,127,362,390,868,910,314,978,260,131,566,513,614,122,
305,702,843,521,941,266,740,288,835,491,057,095,457,192,420,926,157,270,825,
240,211,619,389,398,249,944,193,358,007,712,756,453,973,323,409,435,244,285,
794,404,040,136,027,648,849,258,318,714,132,177,846,028,613,253,964,604,952,
682,002,810,478,747,150,997,582,290,657,231,855,704,256,799,796,219,975,718,
506,351,783,627,315,808,006,573,249,619,693,993,104,796,263,683,637,864,925,
271,881,794,505,519,065,100,946,200,367,567,475,658,696,555,923,334,444,717,
279,024,978,727,278,352,434,584,647,338,475,843,654,292,070,213,150,096,465,
147,311,517,541,718,978,073,106,226,839,439,528,333,149,204,941,861,039,388,
167,145,563,247,796,155,058,002,998,975,093,641,934,948,560,509,225,389,666,
100,894,953,210,926,912,796,554,522,079,891,878,473,176,717,040,086,980,663,
711,047,299,891,479,336,731,115,190,052,880,112,330,943,645,083,642,320,847,
731,914,581,194,416,277,062,572,674,082,072,948,404,486,129,149,218,464,005,
269,348,203,323,796,170,099,054,195,505,211,998,811,901,989,556,953,144,372,
057,151,880,115,586,189,359,588,277,585,696,600,731,464,347,983,222,176,207,
021,991,527,177,553,929,351,697,273,776,086,082,369,582,609,093,026,500,308,
165,414,332,841,414,025,100,346,607,043,504,394,749,502,544,364,545,770,120,
171,141,695,707,769,310,657,620,175,968,383,634,544,374,600,059,498,974,028,
696,109,400,584,207,397,672,054,332,996,793,792,795,895,804,879,955,841,898,
145,272,379,522,421,538,887,706,075,777,361,671,491,838,059,914,449,245,903,
372,006,871,867,091,480,090,483,334,943,642,015,177,075,708,056,566,762,735,
879,273,000,060,034,257,854,913,020,132,567,009,917,915,696,521,605,217,623,
705,405,963,493,526,603,732,511,737,901,846,098,526,664,154,607,753,840,529,
633,289,894,244,196,416,906,959,521,246,526,046,119,098,885,259,217,105,428,
897,072,540,228,352,680,996,219,069,528,394,148,509,813,856,713,208,352,877,
841,907,884,500,875,549,959,617,531,732,745,552,189,467,836,958,482,921,744,
951,828,367,320,808,835,708,702,542,530,440,040,457,234,602,482,585,817,480,
807,456,363,748,430,887,377,407,485,085,216,872,104,347,368,260,202,743,175,
273,441,472,691,947,112,437,248,527,435,561,112,245,729,418,786,961,149,563,
575,787,530,471,711,624,412,208,241,977,521,567,358,706,279,756,809,950,957,
295,784,185,783,946,599,451,376,878,318,622,033,458,164,410,857,517,797,783,
201,116,413,294,290,481,730,940,372,728,870,329,826,643,456,560,325,364,301,
596,695,817,977,057,703,326,343,313,673,262,438,062,821,750,854,986,656,238,
540,888,718,179,975,963,184,580,116,716,919,455,110,916,712,500,094,964,984,
249,019,080,374,911,660,915,048,679,314,179,286,632,648,199,866,412,329,703,
565,528,408,473,154,978,093,707,702,422,440,012,762,472,619,702,968,698,550,
960,781,996,055,409,630,197,324,345,980,612,551,342,639,982,442,143,132,255,
134,837,376,879,655,332,679,674,175,358,581,350,527,375,285,963,629,156,805,
932,627,968,567,687,193,381,915,548,958,788,767,736,449,898,059,934,074,637,
655,313,267,728,861,073,983,940,514,636,158,804,126,310,308,939,849,364,632,
441,786,490,921,428,670,120,788,329,454,888,220,925,101,436,012,231,223,807,
361,009,835,198,452,224,239,009,580,064,637,734,031,014,430,840,475,161,064,
054,433,281,186,406,319,938,879,667,911,770,560,163,092,245,422,164,377,597,
713,190,391,743,272,875,970,761,720,319,878,095,912,377,533,485,130,110,043,
449,230,987,450,655,576,499,268,695,808,694,103,215,786,015,754,000,100,560,
476,583,276,061,023,246,235,542,713,012,338,619,902,738,072,745,783,683,772,
438,068,511,901,702,898,145,134,267,943,678,987,321,540,350,051,540,329,597,
728,280,367,160,177,416,938,396,019,570,583,445,915,304,644,527,400,256,548,
510,062,760,825,877,135,080,303,415,065,103,325,203,537,506,379,150,111,667,
413,263,272,179,941,400,589,122,762,785,911,401,312,810,659,994,269,701,425,
588,073,896,394,838,754,772,292,244,616,758,446,598,341,639,390,420,126,021,
771,962,708,636,420,179,314,722,285,168,158,350,755,407,007,391,027,873,893,
329,652,389,927,158,686,390,013,887,884,702,166,247,498,316,707,393,038,369,
354,874,580,911,784,848,395,088,145,317,595,187,526,656,094,150,855,739,672,
074,671,276,254,116,024,955,506,448,855,896,065,266,910,506,916,642,696,628,
409,532,011,472,536,411,214,269,566,566,317,680,357,212,721,605,820,999,159,
653,892,795,186,416,621,563,671,822,864,266,518,676,450,350,708,987,645,107,
606,742,399,943,757,215,000,735,853,157,029,281,479,379,456,515,041,058,105,
390,409,916,386,525,158,689,969,391,775,674,031,109,446,307,512,344,977,322,
511,706,804,613,570,178,631,051,737,443,458,071,087,039,484,203,129,931,464,
712,882,667,101,356,901,221,485,225,123,294,755,218,617,020,368,652,797,740,
696,872,870,956,673,625,851,699,309,839,039,204,646,386,473,914,224,668,710,
243,317,241,585,644,465,957,925,167,193,535,418,934,767,688,782,855,335,687,
799,247,136,747,884,452,689,860,035,769,406,647,627,474,986,171,887,460,948,
503,636,124,130,115,507,141,258,475,864,286,279,272,694,968,415,015,132,669,
321,503,018,451,733,944,589,840,108,693,597,582,257,483,447,540,267,818,093,
970,547,645,993,978,439,288,120,963,043,315,032,354,585,319,495,406,671,880,
753,706,744,870,444,320,750,122,587,598,908,269,751,074,277,143,306,009,544,
613,273,231,769,115,211,547,873,417,066,945,096,615,217,341,824,607,710,936,
339,581,352,546,896,416,539,718,278,347,361,386,435,251,823,956,495,556,249,
402,384,729,160,862,127,663,800,226,134,664,341,699,414,065,439,346,964,559,
777,023,742,338,182,005,530,920,461,852,741,242,386,363,410,774,327,710,698,
169,695,310,694,862,403,959,528,021,130,725,316,223,831,214,671,999,275,460,
527,814,249,668,855,873,783,493,223,026,212,556,554,123,039,288,003,364,915,
141,650,393,023,741,412,881,706,425,737,607,964,870,924,029,571,224,670,012,
385,487,033,946,924,773,724,940,608,639,714,616,910,691,295,362,587,644,896,
807,104,410,442,665,625,260,080,600,895,724,596,290,514,380,962,993,256,968,
656,149,355,728,332,070,140,147,091,293,832,635,567,723,194,268,669,083,618,
329,208,785,136,413,810,903,014,954,568,396,105,540,941,594,077,372,254,145,
799,374,667,298,989,770,666,152,996,917,070,557,206,294,087,790,605,018,824,
466,015,609,606,168,944,630,589,282,595,626,236,780,123,157,729,244,032,515,
419,516,041,827,660,019,442,957,074,660,119,091,564,924,958,984,352,385,748,
132,781,187,742,338,249,845,762,488,958,115,722,754,842,544,814,784,239,503,
100,658,251,082,753,032,845,922,639,520,820,682,486,878,253,739,567,009,447,
310,809,813,863,471,480,992,727,379,198,790,882,586,240,568,619,511,571,464,
621,545,497,936,929,406,798,481,806,493,566,723,132,516,705,377,569,494,964,
789,285,027,486,931,328,951,520,641,152,871,077,367,767,724,581,053,668,672,
601,215,575,021,778,392,987,206,813,790,141,413,958,154,444,454,668,299,469,
353,603,066,720,362,623,803,576,075,999,498,072,190,669,636,261,986,583,617,
284,128,857,144,745,189,443,476,422,312,756,914,397,921,523,919,719,097,750,
607,249,760,799,035,008,559,135,431,595,403,404,692,150,914,418,402,321,805,
026,607,764,120,786,196,227,200,354,215,700,292,970,232,235,986,881,664,860,
263,233,513,657,872,878,443,823,271,279,959,665,402,658,756,499,623,823,275,
761,894,124,158,710,781,120,609,416,429,734,411,071,231,798,409,967,657,445,
733,591,518,957,021,207,121,023,360,694,861,136,123,943,273,266,372,669,971,
229,403,515,171,542,732,784,889,750,846,583,588,685,455,735,102,983,049,167,
458,781,707,548,760,450,389,535,099,983,256,344,590,960,276,504,542,255,765,
893,722,301,418,072,681,646,206,640,703,130,704,759,939,004,486,379,938,630,
890,226,854,380,064,178,087,011,619,023,361,500,481,019,166,332,395,960,588,
133,546,644,471,180,269,362,742,921,047,070,028,454,356,931,513,637,851,098,
016,096,168,187,496,374,204,314,630,188,401,762,381,748,497,047,933,065,529,
827,823,342,284,105,162,200,085,789,321,344,381,185,780,002,664,506,733,809,
285,255,298,404,190,298,366,934,763,244,792,382,942,687,691,632,403,882,366,
519,583,162,514,386,181,765,158,785,745,317,693,765,589,572,163,113,378,018,
473,338,065,524,550,936,708,477,110,628,943,035,412,650,809,422,761,629,376,
587,042,205,033,143,195,152,009,499,166,635,613,157,833,739,897,550,509,052,
552,051,718,184,020,724,588,976,274,723,231,250,276,747,549,145,182,021,830,
408,727,262,555,309,852,598,103,365,461,056,504,668,977,881,401,453,747,874,
858,349,206,008,908,372,083,324,991,203,809,238,621,149,111,751,231,498,088,
476,914,573,843,747,651,056,443,091,181,729,441,860,802,457,006,731,856,363,
944,272,883,503,139,239,393,159,325,083,995,969,145,047,568,089,850,590,899,
258,855,342,472,067,418,817,989,438,580,525,580,345,289,911,875,555,281,932,
765,432,236,769,642,145,186,491,988,338,693,466,210,178,495,597,293,820,731,
159,571,750,704,582,164,217,508,664,825,561,530,088,883,296,407,134,279,652,
768,226,744,483,635,189,379,920,477,965,153,005,963,775,958,569,274,611,269,
911,819,610,182,171,311,217,352,447,976,795,338,265,948,841,167,013,208,257,
373,920,669,088,936,408,714,307,683,782,513,771,236,309,236,863,623,071,379,
089,386,665,250,294,854,446,589,697,811,081,339,175,024,848,597,726,488,254,
154,674,054,762,490,869,731,991,660,944,158,438,366,945,611,252,184,062,647,
761,188,070,744,895,634,282,845,296,619,457,600,099,610,554,543,129,091,927,
347,476,201,468,762,373,234,602,407,419,082,461,216,777,677,037,899,119,394,
740,399,659,357,267,827,978,901,354,623,005,896,376,314,850,193,312,799,279,
207,081,896,254,299,759,370,511,700,992,503,713,456,932,820,089,362,471,833,
214,381,067,696,019,954,445,136,707,451,648,586,770,956,960,830,093,776,412,
184,708,241,571,668,879,078,460,530,696,023,757,961,072,923,273,547,411,814,
566,060,589,049,126,058,155,848,127,885,556,570,462,876,078,867,614,302,242,
867,681,518,262,848,395,585,562,792,887,677,185,662,142,371,489,842,281,431,
118,375,873,001,590,377,181,346,923,801,118,734,405,229,391,083,448,333,371,
912,600,390,052,077,353,717,849,232,798,688,511,991,130,307,788,702,897,600,
618,995,681,035,986,563,824,191,647,407,676,140,334,871,656,237,300,144,021,
443,664,336,147,102,396,655,526,259,528,361,707,952,007,826,427,360,696,368,
934,410,218,148,401,025,832,573,964,107,439,415,579,561,359,222,057,227,266,
846,280,851,388,383,630,877,483,528,772,803,468,747,513,104,588,585,140,552,
915,314,589,124,337,839,968,703,500,119,985,829,754,953,745,417,388,094,054,
831,129,874,205,452,899,802,900,374,473,811,992,565,764,854,116,819,715,522,
004,521,889,036,599,713,675,848,465,060,037,645,212,993,847,456,876,075,192,
084,396,459,008,137,613,690,362,640,988,370,621,771,178,028,258,695,480,303,
068,808,015,303,891,610,144,720,247,801,332,544,133,235,806,249,900,125,176,
537,085,269,170,730,761,449,168,614,012,888,767,815,462,938,929,335,506,043,
117,364,474,137,344,611,658,440,228,649,954,160,557,351,295,191,041,326,521,
006,147,232,277,127,241,864,465,122,131,000,722,484,972,130,034,888,403,684,
931,975,154,879,626,846,999,121,930,614,459,350,930,902,660,466,355,009,055,
774,026,250,285,017,639,802,797,670,756,444,682,134,878,595,107,134,368,467,
439,347,473,070,521,745,031,178,977,869,933,711,664,039,256,342,839,137,519,
042,032,555,959,059,287,688,444,538,665,796,453,642,102,484,590,567,949,627,
085,922,353,285,996,374,376,804,093,020,222,422,743,170,570,324,202,696,911,
593,411,717,635,076,009,960,042,206,184,853,306,623,779,178,118,265,445,274,
874,849,424,667,544,443,062,013,490,843,973,826,734,469,637,471,362,180,075,
869,806,563,275,317,703,095,676,990,374,877,562,962,532,520,120,786,286,987,
225,742,586,742,370,939,089,420,300,104,178,193,665,081,938,209,656,716,040,
253,426,033,597,396,477,667,069,015,745,601,408,980,930,326,462,135,305,014,
225,908,333,456,543,507,382,803,583,167,330,791,639,671,764,018,298,095,253,
438,033,164,297,776,319,452,440,979,079,257,255,651,556,175,112,786,610,587,
122,849,080,440,644,934,885,214,688,842,427,522,292,906,513,825,136,625,636,
734,232,149,664,879,095,358,511,306,789,789,353,988,925,689,232,310,788,938,
938,292,399,709,817,161,828,354,173,349,170,633,486,404,826,366,134,498,570,
846,420,198,880,023,057,211,202,150,083,698,205,394,028,388,261,549,139,441,
058,559,473,885,503,986,744,724,174,221,117,139,548,060,493,914,279,744,952,
332,875,288,455,216,137,554,673,951,370,767,683,611,828,736,763,940,828,688,
821,306,518,217,615,054,586,089,853,463,898,992,527,725,370,148,394,856,864,
338,638,128,853,748,404,134,197,706,007,398,028,966,675,239,069,023,182,171,
432,446,130,967,925,316,088,301,889,993,176,402,460,079,396,377,681,537,850,
162,340,999,075,254,529,921,428,170,373,900,488,031,553,799,952,656,725,089,
199,989,260,963,821,265,651,055,495,912,406,914,655,349,600,746,940,472,316,
143,957,524,534,406,990,227,895,282,314,262,884,449,769,291,950,825,832,842,
308,283,634,987,373,961,465,285,777,258,390,190,333,857,295,678,975,620,149,
651,210,077,826,520,909,847,698,275,816,589,046,922,262,518,860,043,268,376,
108,606,909,105,114,519,728,551,701,254,854,444,328,615,936,300,102,470,145,
699,237,859,745,875,081,530,511,437,623,819,677,398,555,987,992,626,850,788,
030,369,639,537,028,931,322,510,591,656,700,453,999,483,353,292,072,902,691,
891,630,828,669,669,142,261,076,223,122,318,449,237,808,091,039,519,799,159,
335,809,559,751,035,502,672,104,188,733,653,358,186,458,177,157,672,289,216,
882,713,040,604,375,517,740,824,826,781,397,505,662,067,418,657,715,765,926,
411,905,824,381,896,451,558,802,605,458,360,960,246,559,843,484,972,059,736,
530,505,926,823,607,030,206,611,539,350,161,325,352,571,494,732,414,162,077,
242,383,524,661,664,798,014,699,094,404,662,618,324,813,556,045,374,251,112,
034,099,342,573,265,403,843,920,876,152,249,009,202,617,498,667,371,732,744,
764,816,791,833,571,467,933,633,142,738,169,986,768,355,194,967,593,961,556,
953,836,837,486,366,812,167,066,199,592,879,404,624,644,476,694,073,312,315,
183,395,086,560,467,838,262,708,330,225,900,965,572,653,683,437,580,927,243,
433,083,088,762,490,160,308,915,858,273,290,358,781,181,286,491,315,737,265,
425,245,205,352,364,018,325,876,650,767,835,717,964,528,520,605,498,267,300,
649,894,156,438,235,922,713,050,546,865,401,371,185,086,836,060,556,691,259,
722,891,474,780,571,950,045,652,969,856,287,622,089,359,642,464,448,135,781,
028,288,016,447,489,075,178,231,556,791,075,741,395,704,679,236,792,254,309,
504,309,297,085,404,446,793,467,099,189,874,759,159,258,807,230,270,159,816,
419,202,814,936,542,527,949,137,946,569,475,349,444,943,281,044,355,489,869,
640,873,346,017,128,920,129,403,646,759,862,446,192,024,714,351,910,173,369,
288,320,774,922,466,596,697,535,152,132,517,272,488,996,062,745,102,929,205,
899,459,371,578,851,122,664,851,943,152,377,010,113,862,012,372,815,383,798,
522,376,108,728,409,417,512,247,321,343,356,793,250,875,677,083,213,686,311,
565,958,457,068,117,534,874,742,046,504,374,603,902,527,747,594,802,991,605,
510,189,379,047,871,521,229,034,535,317,284,850,531,064,950,468,961,283,222,
429,405,549,503,621,092,712,006,187,739,680,225,796,353,252,276,908,209,202,
733,555,988,493,904,789,914,036,225,724,067,620,907,995,718,410,255,741,777,
281,585,379,174,115,603,717,737,656,661,027,232,597,862,119,257,431,747,190,
115,316,167,836,429,094,418,955,240,633,801,401,927,298,122,646,847,867,816,
809,860,906,795,218,206,741,381,172,742,029,004,508,876,248,029,753,682,392,
226,334,992,844,200,752,232,322,902,221,898,170,507,648,662,765,890,967,737,
526,799,489,537,236,644,382,077,297,117,212,741,848,274,247,392,134,924,898,
911,280,755,585,165,315,295,354,905,714,764,017,902,205,431,687,929,386,052,
857,350,716,569,994,655,780,088,330,541,087,192,266,772,653,946,461,777,845,
277,666,423,023,472,242,388,608,335,092,690,054,946,534,895,610,621,409,838,
942,542,760,370,959,104,455,171,998,180,023,473,831,749,420,429,933,406,529,
231,163,649,990,992,703,820,018,918,176,286,400,889,980,909,777,663,087,938,
646,874,063,045,696,454,763,980,179,461,414,915,623,365,904,998,380,947,684,
149,688,620,942,061,280,001,560,581,398,231,966,402,601,353,762,507,118,790,
692,029,599,992,859,284,984,084,658,349,589,992,292,563,243,211,463,155,512,
629,955,446,577,874,960,776,690,902,485,968,633,830,616,319,345,573,169,407,
921,283,414,258,834,698,336,969,840,769,719,217,149,115,357,669,050,387,063,
377,855,167,642,665,677,632,709,962,229,466,119,966,919,747,770,678,922,558,
300,150,023,860,757,651,927,330,613,421,023,870,641,972,074,859,176,492,988,
960,544,168,573,354,349,680,400,675,820,690,448,689,941,420,721,560,076,301,
060,225,059,829,231,214,241,271,776,889,134,279,617,878,263,266,876,581,819,
249,322,886,759,796,809,490,417,730,757,999,462,075,614,982,687,403,241,571,
527,170,521,257,774,880,562,883,294,957,320,328,143,230,469,770,324,695,220,
503,034,590,352,408,226,171,705,322,479,835,385,305,960,114,903,219,384,903,
615,277,451,089,794,882,757,098,586,607,574,939,674,297,034,173,749,375,511,
297,232,983,914,796,271,421,856,306,745,744,758,969,281,193,526,253,745,399,
104,371,625,094,217,003,270,451,762,039,063,133,488,231,426,415,717,421,076,
012,041,278,816,665,865,573,971,364,785,468,726,238,344,056,494,174,218,913,
782,282,781,678,169,597,894,028,507,604,996,469,386,267,085,318,686,239,403,
733,310,004,447,460,242,773,574,717,902,998,631,443,650,072,508,320,544,803,
573,647,971,903,299,859,151,792,006,632,481,046,857,540,835,429,536,954,548,
605,108,808,701,220,637,712,777,528,186,985,654,244,135,534,023,240,517,800,
272,029,665,721,358,718,657,354,630,614,343,936,223,904,584,302,388,084,069,
043,192,890,797,096,156,743,356,422,981,994,655,552,671,436,024,377,434,792,
803,202,899,906,242,530,554,931,697,809,368,102,177,681,926,791,677,973,679,
872,538,474,053,938,079,932,269,502,565,115,817,746,234,206,428,067,217,612,
750,682,131,348,706,879,446,980,687,678,931,926,563,994,018,493,341,057,465,
553,820,270,144,492,746,282,913,892,012,652,485,601,526,750,430,091,443,155,
074,786,935,657,139,634,482,969,617,179,896,686,715,211,293,304,675,990,228,
217,053,751,973,950,965,786,934,948,246,176,753,424,785,719,418,664,447,508,
084,157,735,986,696,169,959,510,848,768,380,290,851,124,447,667,950,485,688,
239,361,109,763,424,480,969,229,633,418,518,744,645,557,048,924,106,054,707,
768,026,235,768,588,719,016,276,134,509,101,523,998,762,157,662,348,574,651,
035,885,879,994,492,817,578,614,129,757,407,126,125,540,421,694,520,020,380,
272,046,400,599,127,334,742,912,467,092,275,618,882,327,406,159,282,317,489,
610,163,833,506,923,947,362,772,597,057,659,187,244,145,749,687,019,924,167,
908,122,922,643,073,108,626,971,556,158,908,353,448,431,790,550,783,215,693,
109,298,256,603,045,080,696,088,219,499,041,048,810,037,390,611,506,073,912,
783,706,224,885,101,305,757,481,338,169,513,080,702,452,664,082,619,252,191,
730,789,532,256,168,750,273,439,367,491,692,008,658,290,221,142,459,906,464,
233,042,997,015,166,203,693,354,129,749,219,814,425,615,661,453,634,949,872,
551,987,806,412,580,610,941,317,160,647,014,386,088,047,776,206,487,496,012,
935,035,326,231,825,378,956,826,029,737,624,814,847,638,104,908,726,778,989,
603,616,847,373,066,138,888,159,849,998,824,192,718,280,971,275,550,455,546,
360,915,057,206,537,413,136,811,022,557,607,728,448,522,408,914,233,384,594,
013,932,728,186,666,949,615,789,452,216,278,550,842,270,875,995,799,813,669,
848,347,647,414,417,115,399,729,252,368,584,380,819,773,465,241,378,851,665,
283,202,535,265,846,679,027,489,631,529,977,083,601,763,151,819,615,640,222,
609,698,636,961,326,189,771,329,202,190,346,185,402,704,187,763,452,338,714,
798,568,203,606,207,857,572,486,922,867,617,765,565,097,199,411,149,828,311,
096,709,756,193,933,432,690,209,612,009,479,095,120,439,745,646,444,057,139,
321,198,174,954,648,475,420,243,135,878,307,351,263,933,062,707,309,573,955,
706,281,788,365,333,586,032,068,841,163,094,862,449,301,752,938,402,438,164,
676,261,173,998,979,853,859,849,082,610,806,055,809,545,330,709,707,623,877,
736,338,182,298,624,362,387,421,478,408,414,881,523,862,726,750,909,135,234,
055,550,103,539,456,199,200,997,789,719,351,626,706,621,416,675,808,920,829,
324,222,758,385,406,227,306,047,930,049,161,644,371,038,936,446,512,062,204,
712,493,607,142,158,225,699,544,770,258,220,293,925,990,232,910,134,739,773,
170,038,433,427,124,343,131,621,286,124,592,361,079,353,251,907,604,423,884,
900,545,012,590,047,698,696,343,058,622,343,659,034,194,727,325,511,538,676,
009,220,662,655,462,124,033,995,652,209,475,763,932,986,785,002,998,101,619,
191,086,903,060,499,124,327,089,584,597,437,027,890,925,015,743,946,403,234,
948,280,856,077,836,089,568,843,863,849,609,928,452,704,604,400,927,460,847,
227,325,067,110,857,164,697,344,359,778,286,364,919,380,085,376,518,702,084,
797,623,281,558,492,998,868,498,425,770,939,891,832,504,716,377,346,273,838,
605,983,880,515,170,222,709,915,954,400,751,713,368,782,910,316,706,972,024,
309,512,192,607,524,597,554,339,565,590,601,431,574,502,851,977,120,892,392,
163,052,862,653,249,687,105,820,643,595,091,421,189,685,693,678,709,569,033,
713,259,101,879,521,958,695,092,712,214,221,631,481,931,987,031,964,447,884,
977,328,600,127,327,854,332,186,274,988,247,259,303,572,075,094,748,261,599,
721,863,952,423,635,839,155,249,820,687,946,215,583,788,565,807,308,886,127,
844,425,235,548,668,888,303,902,723,286,276,483,807,825,485,218,979,530,158,
773,260,009,856,476,086,221,604,563,085,659,171,910,783,136,970,341,213,260,
355,976,274,870,134,094,106,407,340,665,404,736,087,997,476,657,532,865,363,
978,304,749,628,979,748,953,144,394,010,328,115,120,430,181,767,135,725,789,
372,939,484,049,748,626,868,053,780,273,218,969,845,908,431,768,086,908,000,
175,202,990,401,088,877,685,689,289,640,666,058,319,630,996,963,542,854,005,
227,764,655,192,140,729,580,076,063,643,807,484,805,159,165,771,660,817,399,
518,501,414,872,107,555,846,890,882,047,063,452,638,772,420,511,150,772,026,
082,918,216,515,943,282,092,729,733,067,824,766,967,848,601,540,499,752,942,
203,671,915,357,621,755,117,655,124,299,507,120,646,270,058,525,882,795,559,
943,370,576,436,106,463,462,433,500,071,158,770,594,832,366,503,511,825,900,
049,955,447,497,259,396,126,227,977,172,585,503,643,200,487,857,177,586,815,
143,139,321,953,786,187,468,720,899,555,538,749,637,622,259,088,809,200,215,
184,512,411,994,590,479,614,912,506,944,266,626,828,817,908,192,120,998,536,
225,552,929,848,201,967,828,841,161,907,779,990,576,890,200,510,098,921,220,
865,498,124,898,601,451,921,006,234,099,021,634,372,512,929,248,705,127,830,
945,970,528,159,724,843,019,176,227,395,171,389,441,748,414,963,621,061,580,
749,187,094,531,394,943,314,960,368,788,833,329,893,880,167,349,679,620,417,
263,838,447,519,297,304,756,207,013,364,498,500,363,537,953,500,686,263,851,
039,001,657,992,079,631,480,063,776,187,465,625,554,323,964,397,804,092,259,
106,865,681,620,316,140,634,711,764,837,017,698,006,556,929,214,200,386,380,
373,455,455,584,392,591,477,790,894,908,344,071,720,190,594,414,173,637,453,
009,704,989,025,698,484,601,617,855,755,677,478,751,963,106,399,818,975,145,
977,693,828,228,546,256,847,825,675,452,149,418,518,519,746,751,448,498,493,
051,955,413,178,818,287,439,432,493,814,623,992,829,987,659,930,859,674,076,
540,834,238,466,579,870,032,803,233,606,278,285,080,937,116,339,731,316,376,
095,987,773,776,096,907,592,310,633,173,767,402,319,995,355,112,095,997,770,
283,605,572,647,200,438,595,496,033,550,893,981,956,521,996,919,326,843,325,
995,951,971,612,166,904,226,999,175,378,148,740,266,748,195,928,561,467,752,
258,832,870,429,720,708,456,068,409,086,866,639,955,780,954,518,837,853,831,
074,639,516,821,268,668,648,763,674,600,379,632,446,767,399,622,327,268,850,
884,256,057,894,977,375,749,714,112,095,639,256,666,190,946,262,857,104,418,
040,192,140,039,492,469,713,343,937,835,343,947,496,002,973,169,435,690,234,
820,014,489,949,606,336,852,220,359,954,797,527,226,335,330,737,154,005,731,
845,434,184,099,262,958,138,978,026,666,448,757,009,280,946,649,362,089,027,
626,143,850,813,899,276,657,595,398,038,977,089,584,124,859,465,243,825,524,
348,958,347,634,352,171,996,313,193,455,604,092,656,292,657,706,757,910,309,
547,108,916,609,285,912,683,495,213,266,482,541,269,736,503,050,825,017,563,
180,874,034,966,708,311,903,715,414,832,095,272,855,209,312,213,345,518,679,
395,404,575,327,633,371,639,248,045,543,872,669,622,720,265,071,772,352,470,
013,341,269,780,713,876,602,679,689,790,084,916,134,799,139,862,413,050,212,
756,412,830,343,528,188,580,464,459,338,355,797,659,911,684,657,778,725,331,
701,157,330,200,890,043,436,048,427,370,716,834,755,080,052,528,203,599,829,
150,075,889,990,573,276,006,792,529,403,913,032,893,075,266,332,045,611,609,
298,861,240,749,837,889,371,900,163,657,251,572,424,084,704,563,026,281,661,
305,172,025,374,791,944,865,970,850,326,873,402,805,037,828,917,535,807,305,
367,440,044,087,436,072,401,637,585,455,794,638,978,522,909,510,846,942,916,
169,204,622,818,118,621,229,661,490,614,452,029,705,536,570,756,915,616,925,
164,633,853,073,612,714,788,722,007,720,644,087,248,662,454,204,303,815,140,
151,878,525,050,292,337,195,748,159,664,965,260,149,327,697,691,300,168,477,
478,876,464,221,756,338,549,296,432,847,231,910,970,073,003,075,290,430,228,
062,562,253,082,208,926,218,887,212,028,586,730,241,841,876,817,060,033,741,
745,853,532,826,117,468,658,099,203,985,184,251,441,608,713,396,783,653,239,
068,675,790,825,775,641,985,123,399,580,626,407,723,274,400,428,531,284,677,
569,847,060,673,757,639,344,026,791,442,761,962,908,490,330,946,278,595,027,
198,561,422,281,850,842,441,015,412,995,471,080,852,196,797,523,913,824,020,
162,069,930,702,326,379,545,291,808,078,735,461,642,796,253,444,709,634,118,
456,652,702,110,794,189,189,839,086,697,996,468,876,241,787,284,673,934,376,
316,112,637,676,525,642,560,223,842,037,478,004,243,755,141,049,738,054,275,
799,590,067,319,360,978,537,511,863,307,667,218,078,328,681,914,299,651,175,
137,380,508,652,869,625,273,304,371,037,562,344,696,767,944,975,767,978,043,
059,084,269,335,386,624,521,145,722,002,075,750,749,754,309,271,567,898,976,
367,297,906,193,355,728,200,918,579,732,151,002,410,406,442,088,709,102,771,
019,318,593,977,611,169,074,591,325,318,139,887,034,658,859,625,963,898,422,
177,339,549,803,997,994,864,553,021,556,740,595,040,109,379,541,052,834,998,
372,926,669,284,403,521,111,972,002,698,541,789,953,356,956,867,653,295,332,
525,597,330,153,543,932,869,210,991,202,422,871,200,774,875,289,093,052,518,
817,394,369,412,217,484,877,797,660,045,114,249,866,987,699,339,872,725,107,
956,591,358,795,218,711,266,248,126,758,038,949,549,083,357,575,010,963,408,
985,191,598,449,639,942,551,171,712,459,097,496,215,108,867,085,840,935,691,
209,198,944,871,435,009,536,669,022,379,706,713,648,176,340,462,009,064,746,
662,448,041,314,049,621,999,041,063,975,109,589,762,023,665,532,430,633,701,
945,493,284,864,218,415,946,165,785,351,228,088,004,455,709,034,767,226,214,
387,319,910,767,368,978,755,061,087,581,172,155,285,494,936,376,868,879,389,
505,438,897,804,212,952,317,040,754,655,915,418,978,659,799,437,148,149,565,
812,256,615,538,720,984,139,549,802,598,340,473,293,740,422,704,975,617,544,
446,534,088,760,839,096,412,988,418,623,299,775,195,053,179,608,081,416,436,
344,663,276,323,424,646,797,678,471,263,216,736,821,567,630,270,901,065,254,
613,222,358,653,665,978,653,028,007,476,375,397,024,401,195,969,281,101,302,
838,425,609,663,875,367,823,725,568,492,615,008,159,503,331,555,380,995,831,
041,599,580,053,253,055,628,425,465,479,987,422,360,592,095,390,817,296,977,
177,434,675,598,496,115,337,463,556,690,405,850,620,017,297,125,994,455,896,
565,396,530,000,125,523,429,664,774,964,211,109,343,401,255,548,923,260,306,
137,384,885,024,436,871,906,803,590,408,685,384,107,638,658,330,061,771,603,
759,220,596,480,083,488,778,426,354,669,838,226,847,650,843,263,576,720,548,
187,897,059,817,668,966,313,008,133,775,905,853,467,064,158,795,675,388,722,
667,914,678,888,479,365,035,053,977,320,553,184,195,324,736,119,483,526,304,
744,738,575,807,382,016,469,961,616,400,063,207,921,681,251,692,539,830,274,
100,708,523,628,616,065,352,573,808,693,888,069,435,747,924,000,377,284,024,
234,073,259,115,759,021,201,344,775,922,658,841,352,295,956,002,227,597,443,
059,522,997,431,129,134,350,038,143,036,791,649,160,303,616,494,677,774,859,
208,997,466,952,733,810,055,122,714,480,226,245,593,745,091,525,372,899,648,
754,323,576,335,716,589,632,412,361,537,559,894,630,035,944,358,847,533,582,
830,623,423,993,194,277,784,313,801,657,672,640,475,954,166,323,839,349,685,
943,694,662,548,681,456,379,086,726,463,192,713,415,872,683,328,171,367,859,
113,737,374,634,636,834,196,466,465,886,809,293,629,800,293,152,392,759,408,
040,585,287,691,264,946,175,807,921,378,317,521,013,327,048,661,483,474,482,
664,013,125,060,785,065,580,917,205,791,228,840,321,686,709,997,550,356,428,
928,436,430,826,988,593,596,640,319,720,275,260,090,120,990,265,746,874,491,
795,083,824,352,888,932,674,711,971,327,154,633,940,567,033,791,184,103,401,
479,575,880,628,085,125,620,067,420,829,430,322,560,092,332,507,931,893,939,
470,820,992,535,200,903,852,824,388,316,428,342,010,884,553,915,247,180,481,
880,261,766,907,626,511,943,141,344,227,705,742,107,829,627,706,327,702,869,
690,437,457,703,794,877,994,753,176,678,556,287,014,777,190,174,726,695,955,
005,087,506,089,606,857,522,957,483,772,508,774,210,772,377,610,281,574,145,
043,119,042,627,158,271,126,447,671,609,905,673,870,388,823,923,225,633,231,
368,967,268,552,981,046,728,659,993,635,705,442,777,381,094,626,731,560,283,
432,553,147,845,566,248,230,660,137,055,393,037,714,135,762,336,234,534,329,
791,340,853,023,346,924,658,058,330,704,034,494,247,910,087,348,996,173,867,
422,965,395,199,693,683,124,764,234,111,874,013,554,034,530,952,810,409,772,
640,050,313,283,286,329,004,752,085,402,675,206,422,874,822,908,440,184,636,
750,091,810,893,161,314,340,362,398,504,721,804,557,320,767,013,605,865,335,
886,772,863,221,714,745,004,470,232,497,861,774,945,528,601,617,932,375,971,
063,500,404,484,691,986,428,313,063,564,662,620,634,920,782,143,243,225,405,
471,769,133,002,090,159,990,039,875,249,562,623,964,285,363,246,232,277,552,
948,035,946,874,952,515,827,080,997,064,467,653,138,125,487,641,128,956,046,
930,016,802,221,999,803,006,592,815,337,225,813,024,160,399,383,049,440,610,
304,050,107,530,964,271,531,731,269,773,081,368,811,107,633,322,072,793,282,
690,279,965,950,444,916,978,326,156,113,006,920,937,567,532,158,183,671,155,
241,848,928,272,778,925,501,076,353,922,549,294,033,392,421,890,893,453,766,
753,123,500,371,796,405,261,956,884,872,313,443,725,537,835,411,826,557,137,
857,953,991,473,610,707,309,520,004,516,776,879,279,511,287,273,311,421,155,
857,501,491,273,170,898,198,413,317,559,020,128,846,468,662,603,846,660,284,
044,881,688,568,614,548,465,613,756,146,391,642,121,608,545,720,992,801,399,
347,976,246,952,147,527,124,843,941,444,148,285,953,696,691,377,342,874,811,
687,777,152,466,057,876,324,164,486,777,881,440,216,048,508,216,222,612,555,
678,177,093,055,057,377,089,805,827,475,968,203,076,926,915,297,236,471,388,
928,470,768,892,935,003,954,319,515,861,427,256,290,168,230,452,214,570,622,
499,259,095,307,939,710,629,810,417,945,739,753,041,835,544,866,145,143,938,
480,103,885,803,502,569,043,701,807,838,202,479,442,802,492,852,379,305,578,
271,506,536,030,889,107,656,582,513,486,624,805,596,006,092,398,734,954,579,
502,702,640,275,645,712,392,358,109,562,911,834,324,509,108,190,696,710,803,
670,155,835,408,692,656,493,519,117,593,936,577,987,813,745,576,094,658,383,
551,546,735,109,773,282,679,638,577,762,856,042,661,469,695,882,663,156,651,
182,900,881,296,700,484,740,410,994,763,984,768,191,778,267,585,181,250,118,
331,616,569,635,636,075,164,266,425,454,450,274,943,350,414,027,879,041,469,
408,575,882,780,310,018,917,527,745,179,054,472,049,737,785,272,123,351,220,
650,878,944,931,466,673,446,756,718,106,124,787,048,266,844,073,910,698,206,
670,861,975,804,323,216,165,039,316,752,293,660,637,643,000,248,414,947,012,
608,331,259,377,402,887,571,592,762,341,019,609,925,654,079,118,813,817,303,
416,954,496,178,016,426,706,977,315,565,825,832,400,466,714,209,179,133,384,
577,609,921,411,252,686,652,672,221,002,571,961,193,495,914,695,295,853,763,
485,369,324,481,650,205,930,045,731,038,988,378,570,052,446,983,667,638,210,
676,249,386,048,030,898,713,301,298,321,928,349,573,969,444,550,914,422,967,
597,586,142,014,627,565,044,411,701,334,944,882,905,957,828,586,205,872,986,
535,870,869,833,913,672,634,594,735,967,306,273,881,424,854,594,652,650,129,
870,742,949,252,797,730,092,475,823,061,139,146,541,015,105,980,955,807,257,
070,638,580,957,146,727,560,562,144,639,954,961,787,491,280,156,363,167,819,
036,710,373,003,876,971,900,730,684,467,758,240,280,826,727,021,013,760,273,
552,761,182,766,718,153,968,081,197,833,864,318,792,854,888,633,799,092,659,
931,944,393,638,974,459,940,519,061,374,420,925,804,505,003,710,744,134,461,
350,728,380,288,260,384,130,745,140,709,112,075,879,886,218,520,863,026,145,
684,978,901,320,769,961,113,834,018,529,511,389,630,959,263,503,836,045,696,
401,300,828,762,378,832,762,191,468,889,651,975,536,796,385,490,585,706,762,
544,117,795,100,456,142,751,383,833,241,665,192,034,455,798,908,619,190,330,
018,528,116,119,372,095,684,367,821,199,262,380,344,627,682,062,476,036,008,
984,561,320,763,784,646,885,946,436,052,907,913,753,061,729,998,093,012,612,
065,328,927,877,266,845,512,548,338,588,147,709,290,276,277,397,338,384,070,
712,198,610,400,680,571,135,943,369,880,215,441,114,913,963,104,882,532,770,
325,256,249,207,446,343,814,303,212,203,462,799,307,909,519,649,971,111,165,
856,546,301,562,974,171,913,372,854,786,724,919,320,131,419,699,513,637,782,
321,148,136,507,936,463,725,898,685,895,891,397,576,064,163,368,902,885,146,
943,167,053,736,343,357,379,554,818,254,549,161,954,879,846,626,271,932,142,
052,793,765,934,544,720,646,077,629,878,482,677,892,740,916,039,286,879,030,
220,914,278,082,261,343,631,704,834,620,540,708,788,946,964,120,990,125,447,
236,906,809,636,245,837,567,094,269,182,690,575,912,152,069,001,786,254,102,
158,625,610,128,492,173,054,186,047,640,826,706,071,310,139,708,799,720,577,
406,952,914,182,179,024,419,371,941,889,725,326,761,866,020,745,061,522,519,
352,905,551,638,071,483,924,385,312,124,695,196,220,609,283,334,236,015,932,
843,142,403,869,395,548,924,398,708,235,419,021,670,647,548,180,019,915,312,
385,339,422,181,423,812,293,200,785,370,238,282,322,638,535,681,610,215,315,
929,601,161,152,786,493,941,389,934,391,268,072,988,574,346,883,205,747,682,
103,354,759,059,680,359,773,905,987,857,049,238,399,427,090,305,602,786,285,
375,916,474,394,850,006,746,470,024,241,734,571,006,476,199,384,844,031,390,
615,401,751,032,871,113,333,536,225,327,495,246,857,132,665,394,288,522,456,
686,668,852,632,327,188,733,995,479,860,935,091,638,772,942,439,639,447,650,
050,039,644,225,766,254,020,366,240,057,587,759,063,914,970,569,715,583,781,
721,749,177,201,585,622,006,241,366,117,688,061,352,045,698,583,965,688,189,
297,787,215,829,603,559,424,619,734,108,522,364,783,199,110,151,593,809,392,
202,493,084,837,104,346,522,700,377,011,864,141,270,519,679,942,892,378,298,
413,471,446,645,857,148,890,273,585,362,272,285,082,529,473,194,927,530,955,
454,032,620,260,291,185,960,532,230,444,864,552,927,670,931,752,261,780,633,
203,657,268,799,003,527,690,943,639,292,182,565,335,490,630,070,819,723,868,
051,104,557,649,713,437,944,394,246,312,865,215,429,855,890,770,661,340,596,
794,173,144,759,765,329,439,272,074,983,980,950,850,159,237,379,502,185,163,
959,829,107,828,582,218,488,657,359,320,803,296,482,385,244,364,792,159,990,
650,375,777,380,980,806,938,720,688,299,726,011,324,102,377,186,994,391,375,
894,205,638,923,145,341,199,966,059,856,661,740,620,015,339,850,953,949,116,
042,464,353,827,211,074,860,512,265,691,779,297,277,788,738,610,209,253,766,
698,234,343,926,284,440,696,245,016,649,584,552,598,734,763,841,976,675,229,
327,083,729,165,584,443,787,336,399,822,402,322,233,536,572,184,636,011,028,
075,287,979,079,956,091,369,010,454,083,980,918,869,559,628,721,954,034,294,
058,667,252,098,108,044,034,423,764,663,459,448,361,197,450,244,501,088,738,
822,887,836,392,153,972,464,336,779,020,874,511,690,229,711,379,549,061,556,
127,480,206,478,132,142,857,141,131,174,659,538,691,871,521,689,707,901,806,
828,733,042,981,306,347,090,942,257,446,903,614,396,366,276,562,741,206,024,
123,907,180,293,334,486,275,795,307,508,180,840,339,796,363,710,143,151,368,
210,499,429,649,065,190,060,322,385,956,251,200,017,866,690,420,681,016,163,
388,151,061,427,806,303,400,126,058,567,645,579,745,897,864,305,287,449,308,
762,772,688,100,811,034,079,474,929,044,557,026,730,659,632,383,144,283,673,
545,563,363,062,197,746,220,284,028,101,277,012,860,146,886,672,734,947,241,
467,754,194,531,796,093,541,797,007,758,233,497,422,608,055,591,094,720,137,
751,108,648,743,449,535,347,611,010,843,450,577,327,170,474,294,822,406,118,
205,614,505,804,176,062,295,170,498,716,035,640,695,865,550,343,992,713,177,
575,994,810,480,282,530,327,762,848,064,682,037,365,080,981,191,876,698,953,
598,048,871,560,340,451,716,211,153,476,151,519,310,393,411,594,478,722,211,
612,043,459,570,623,858,786,787,819,365,970,872,744,914,463,795,854,763,645,
165,175,086,159,192,106,421,273,580,833,463,518,235,613,022,957,884,925,669,
759,238,093,795,771,496,204,162,732,927,184,979,160,146,631,113,367,079,653,
487,877,024,275,722,584,431,754,751,005,011,620,766,868,582,505,025,628,237,
417,846,569,991,845,552,892,860,718,409,445,920,345,760,196,793,792,791,578,
262,040,139,850,169,723,555,347,718,778,522,772,232,286,480,185,949,325,531,
176,255,447,788,373,309,203,397,125,521,484,003,678,090,248,831,289,106,629,
030,804,369,465,182,106,849,395,073,249,363,733,983,303,280,429,051,758,453,
975,781,335,000,980,400,898,747,692,784,513,873,083,752,343,423,100,431,298,
144,531,764,922,388,760,964,439,354,852,603,310,131,302,026,566,694,713,430,
771,764,229,452,940,183,796,470,419,814,258,201,340,521,789,578,654,456,778,
629,700,547,493,635,304,636,821,965,700,276,820,513,836,290,103,281,907,531,
214,821,408,831,989,482,941,932,128,480,225,300,007,455,769,612,532,281,475,
944,176,069,448,545,223,223,822,575,590,936,455,671,732,417,290,503,651,769,
666,154,881,133,843,996,445,251,514,887,136,155,288,587,408,946,264,049,535,
546,403,152,840,025,857,154,137,412,221,766,181,879,820,281,131,378,479,590,
622,920,266,256,377,382,696,969,287,933,897,282,520,077,254,455,581,575,750,
383,740,001,627,505,941,829,777,633,660,858,112,568,351,471,289,989,127,324,
488,327,916,065,877,827,507,114,019,588,833,138,396,195,155,558,586,347,692,
387,034,524,004,352,704,899,875,886,148,760,717,833,932,179,746,884,761,600,
053,835,274,448,615,788,852,009,041,665,062,561,000,288,733,341,921,186,493,
371,175,102,034,521,476,363,178,265,088,163,135,387,360,580,759,672,375,264,
069,570,902,381,231,066,578,440,646,365,548,898,511,237,083,734,769,780,924,
490,868,577,720,755,963,598,342,855,730,625,089,664,428,014,385,512,921,190,
498,503,014,762,439,161,519,608,395,824,759,102,975,489,795,661,342,320,286,
392,108,858,995,626,903,753,529,738,843,331,895,518,449,673,773,171,315,470,
853,178,893,741,851,275,144,282,967,207,142,058,622,114,345,037,926,997,626,
377,757,686,169,685,184,277,375,753,118,780,495,785,010,431,276,768,228,426,
563,268,607,942,506,057,958,766,500,380,515,565,271,799,121,506,349,719,041,
117,587,036,671,386,735,303,503,669,325,030,484,601,579,532,322,417,429,517,
091,093,589,064,996,577,583,021,438,808,878,749,410,715,343,824,824,771,144,
118,151,916,048,524,771,641,093,372,575,687,634,948,498,145,359,438,514,704,
759,271,446,582,544,118,888,872,546,412,977,473,734,964,891,451,089,840,500,
862,517,165,086,574,407,301,591,266,102,434,772,604,945,465,954,049,609,516,
059,015,702,609,353,279,031,216,474,716,679,524,744,017,654,322,124,093,790,
205,534,727,419,488,411,872,551,721,574,814,103,823,510,036,875,731,055,234,
963,308,860,207,011,214,651,980,377,350,902,378,204,198,191,764,626,886,720,
716,645,430,107,695,502,056,846,683,627,558,428,656,589,152,862,178,998,532,
887,944,320,613,280,569,044,716,846,721,127,407,716,662,241,964,791,325,656,
319,658,174,235,327,159,176,541,523,903,296,469,160,089,325,486,666,509,851,
597,750,192,493,780,504,868,188,246,281,224,672,820,752,524,542,350,573,707,
636,695,940,438,998,545,567,022,968,617,396,225,634,568,229,543,550,693,639,
249,960,265,882,749,025,925,276,284,706,088,040,583,658,852,966,731,175,400,
624,527,700,755,197,901,260,922,531,974,123,380,899,806,348,760,127,129,556,
667,603,957,335,151,353,989,248,263,485,411,521,535,732,888,678,265,972,241,
744,710,711,118,243,737,724,401,086,695,336,372,464,545,917,852,296,214,222,
739,899,152,531,283,514,937,618,308,186,059,875,694,420,860,253,616,173,136,
265,700,813,358,810,488,697,986,805,243,139,436,324,030,880,791,049,262,401,
197,394,430,688,781,882,075,874,676,736,713,894,385,408,519,639,985,549,657,
844,633,622,439,209,259,256,333,054,244,786,286,150,109,015,164,978,349,000,
784,119,375,660,438,687,961,805,926,096,385,299,517,183,665,420,130,940,421,
083,454,844,275,614,926,344,695,862,539,764,356,296,147,386,145,365,037,834,
313,139,240,956,030,352,023,167,423,584,539,022,295,079,004,215,081,371,412,
933,783,160,395,086,818,427,494,171,243,045,076,347,057,298,227,623,739,116,
938,846,983,534,547,198,323,784,227,996,154,234,453,417,901,277,724,412,412,
628,083,274,149,665,126,573,200,426,402,946,466,577,761,976,892,476,070,940,
370,035,192,479,252,889,102,090,081,312,542,601,141,733,257,914,657,484,808,
229,246,972,771,539,272,368,846,481,824,696,926,121,214,699,261,331,653,754,
474,657,306,417,671,246,660,761,988,079,315,915,423,442,135,646,163,538,675,
476,827,906,332,075,576,750,032,523,811,259,908,370,227,817,392,906,663,537,
947,117,550,025,120,744,376,596,051,454,261,089,913,795,620,218,934,535,466,
370,527,185,816,013,431,258,879,655,116,313,125,939,014,343,525,377,417,201,
335,547,406,603,137,566,408,068,800,533,384,214,771,689,980,539,727,875,453,
452,343,346,931,372,110,090,708,963,309,893,460,181,678,709,836,184,301,553,
476,805,975,427,711,541,109,588,953,783,179,490,668,923,684,457,831,016,557,
838,700,406,613,977,436,512,075,509,043,145,099,336,723,028,477,070,815,203,
173,328,573,402,362,904,701,417,986,784,428,260,011,861,788,106,025,028,745,
672,232,491,098,490,941,157,356,997,825,563,726,650,015,354,101,891,484,487,
683,346,669,372,542,333,970,669,157,634,688,000,873,615,362,139,832,314,588,
515,631,540,944,756,861,697,525,297,326,720,948,646,911,886,513,490,672,381,
006,981,562,619,452,844,728,310,603,668,031,331,034,895,974,972,029,088,896,
500,169,587,265,212,026,894,568,166,575,004,610,910,511,674,314,221,451,281,
337,494,365,773,961,246,892,269,664,816,929,766,083,873,256,104,305,589,817,
120,674,030,307,294,040,983,619,093,213,300,218,311,140,152,538,125,689,255,
768,611,626,995,444,539,968,121,861,131,970,252,595,227,388,538,183,132,856,
834,477,919,867,751,828,791,575,534,785,897,948,302,363,282,998,980,945,687,
968,692,432,266,462,006,063,424,315,008,778,056,718,178,554,164,478,254,470,
087,523,681,920,936,464,152,022,269,950,334,729,699,051,015,135,892,634,979,
728,755,423,355,312,214,984,823,340,286,166,971,075,808,791,304,859,262,800,
579,591,685,427,929,495,318,278,785,033,758,271,884,974,916,118,075,918,083,
306,859,834,806,164,792,630,810,257,272,266,633,168,583,221,633,131,436,962,
899,397,837,168,620,491,939,122,805,918,055,051,064,394,473,563,574,414,060,
430,649,216,513,426,874,521,322,405,584,645,305,632,726,492,717,570,000,425,
088,794,094,896,534,914,907,469,840,288,008,557,683,157,391,129,004,882,292,
093,341,810,528,812,353,673,840,035,815,012,687,868,360,508,011,127,477,523,
174,877,740,568,012,294,495,714,693,525,421,035,329,420,016,919,511,436,761,
417,948,451,161,157,897,840,820,168,256,958,686,887,021,377,849,881,783,735,
832,905,971,238,358,281,779,183,320,698,165,601,175,085,250,766,365,232,727,
271,477,443,378,139,786,573,638,981,001,905,570,917,328,106,444,768,705,062,
963,060,588,675,859,856,648,040,129,808,474,041,123,336,636,335,890,010,388,
093,262,587,565,287,200,412,005,911,673,710,483,322,440,905,301,225,350,064,
884,519,014,657,389,743,837,317,818,545,145,544,873,604,214,382,074,193,552,
875,603,276,283,952,432,704,268,834,627,719,063,841,611,846,573,653,060,444,
298,314,245,085,736,448,816,341,793,004,166,165,805,499,212,838,943,283,528,
392,551,895,950,762,810,294,977,077,020,877,878,568,664,544,327,526,843,922,
924,911,699,659,424,739,023,105,970,320,637,645,620,019,549,529,094,613,061,
671,336,986,245,984,688,706,538,738,457,922,743,803,918,514,040,548,466,347,
281,338,337,275,371,982,738,918,425,038,448,265,245,086,752,361,833,982,936,
829,714,504,890,329,325,231,219,663,669,723,692,205,005,946,569,061,332,274,
110,523,650,866,329,626,800,452,839,528,994,466,112,077,493,475,235,484,278,
194,633,606,153,807,412,677,516,066,561,826,904,682,726,420,392,161,811,172,
448,295,923,296,871,607,232,920,121,843,359,068,255,179,943,522,031,159,372,
832,687,925,761,193,413,968,367,669,378,652,687,518,834,204,144,499,606,208,
785,743,758,581,099,035,138,640,015,759,869,859,463,466,879,552,222,641,547,
981,753,285,847,301,480,314,121,578,300,210,179,775,418,442,834,850,065,615,
504,632,967,387,418,649,715,580,978,412,097,216,219,736,433,521,350,475,220,
547,865,208,867,916,066,718,547,114,391,638,103,956,631,306,989,089,109,661,
436,568,987,074,013,988,012,103,794,078,359,434,764,654,104,913,887,655,505,
989,008,124,335,869,083,930,721,478,698,810,704,217,499,679,158,811,675,575,
098,703,350,179,524,514,057,464,768,695,018,395,786,939,830,287,325,295,242,
313,827,372,483,981,556,356,203,540,993,510,153,779,264,974,535,190,409,427,
532,219,644,637,909,897,770,060,079,375,458,683,571,322,589,671,226,541,839,
022,188,951,351,142,844,138,250,754,516,907,974,545,022,106,039,187,015,983,
451,746,561,000,091,890,014,317,072,311,941,259,922,087,636,849,591,585,980,
908,308,833,969,390,252,531,376,376,892,943,915,124,125,703,192,910,874,934,
522,114,762,951,033,605,373,174,807,527,141,616,121,097,611,002,588,312,716,
523,225,044,378,374,071,634,709,397,554,339,716,569,759,198,774,715,985,831,
113,607,050,152,332,457,233,356,796,768,923,035,562,193,334,754,079,530,417,
121,853,022,705,860,529,918,711,697,905,675,790,185,442,662,489,898,484,711,
261,696,912,830,684,930,080,163,289,812,552,286,436,404,546,744,319,506,590,
575,568,652,362,627,139,124,652,081,426,649,409,463,452,016,001,806,490,466,
278,766,499,655,011,748,857,988,991,414,112,213,364,400,167,212,414,542,942,
595,979,080,945,192,100,577,351,171,004,052,039,842,465,710,142,915,027,269,
026,728,503,679,727,938,047,665,904,748,104,328,862,449,978,935,180,158,387,
368,262,875,410,447,128,879,588,306,001,054,733,260,696,636,601,068,893,382,
736,456,086,211,672,150,064,628,096,488,546,773,350,024,655,087,549,757,454,
639,293,700,215,173,979,941,605,716,939,891,101,638,797,762,759,929,743,576,
617,806,435,881,444,134,978,201,338,899,288,803,844,977,934,977,534,073,033,
346,232,031,094,410,157,020,253,129,063,558,929,410,526,545,262,326,320,726,
652,403,392,936,307,533,322,361,016,664,337,853,126,464,595,505,583,024,120,
571,238,425,397,180,270,788,951,562,540,245,869,023,806,153,556,924,859,622,
303,526,125,258,955,758,014,020,484,365,451,149,731,304,487,423,549,909,735,
706,510,580,138,063,697,425,254,634,819,255,994,559,287,766,356,144,409,507,
825,362,360,994,392,687,417,570,194,093,024,437,603,154,518,004,978,687,938,
158,745,863,029,008,954,281,122,048,334,275,256,954,674,785,269,168,268,165,
246,801,299,499,516,922,043,963,046,827,697,970,570,759,092,725,310,012,963,
579,795,154,824,888,500,714,687,421,264,009,778,842,606,192,783,300,119,822,
146,349,807,474,081,713,265,503,905,009,794,767,171,385,972,503,925,146,464,
129,667,441,281,141,794,852,680,803,062,298,180,013,310,791,291,205,298,331,
807,430,779,413,555,247,957,825,740,670,309,408,979,525,130,772,010,510,690,
488,523,437,736,160,314,645,498,461,650,878,539,386,951,806,641,701,785,870,
869,746,507,085,717,976,967,203,622,622,824,949,650,211,127,760,754,223,933,
738,490,654,349,557,859,486,988,791,604,575,159,871,359,964,152,088,863,558,
022,651,417,009,753,275,535,585,022,866,885,223,352,845,106,206,216,106,026,
869,234,624,167,357,544,855,996,896,701,447,121,576,692,384,603,299,263,421,
298,760,932,973,428,297,972,338,886,119,498,006,322,164,370,536,627,726,010,
264,477,103,012,944,141,021,661,136,809,382,259,222,699,423,706,241,495,105,
200,240,612,865,585,862,903,499,804,325,666,262,020,909,026,001,365,346,118,
130,484,755,714,178,373,347,787,862,170,974,699,159,546,661,121,718,687,983,
238,094,203,049,037,095,788,956,720,771,539,535,167,571,219,966,876,952,959,
148,878,552,340,542,539,984,006,514,940,332,288,922,621,134,706,523,512,195,
693,315,458,336,875,083,444,339,175,527,527,197,067,965,632,453,280,179,109,
355,601,625,345,691,214,955,031,985,551,375,693,543,770,533,598,641,109,046,
199,278,926,265,911,265,618,017,473,210,032,826,690,009,845,531,720,798,877,
107,510,481,357,414,295,472,324,478,630,651,718,679,980,198,188,454,392,373,
094,851,919,094,033,576,927,574,525,765,160,635,329,979,777,728,099,879,223,
160,153,268,773,613,354,443,364,792,149,295,283,946,197,298,841,175,786,448,
380,030,311,464,949,718,233,173,672,036,361,909,263,962,979,755,123,598,857,
167,546,978,052,411,197,967,678,339,099,561,407,855,664,360,085,573,240,567,
775,296,082,938,356,930,480,227,650,840,958,361,411,151,473,561,977,378,170,
655,180,902,532,419,271,466,483,370,746,891,481,602,887,384,253,502,296,815,
135,572,339,187,105,353,941,531,708,487,064,786,078,549,943,735,786,004,355,
046,876,736,248,991,111,653,836,078,964,456,966,003,178,692,321,957,099,701,
299,145,821,501,273,357,853,693,654,588,337,970,233,158,200,789,523,769,871,
712,259,188,038,480,819,505,309,872,777,253,317,081,966,574,188,492,777,807,
931,471,702,131,978,444,798,938,328,093,088,390,430,643,792,961,060,250,121,
832,603,056,225,750,400,554,656,904,569,250,986,347,152,387,908,182,436,633,
194,780,718,776,897,621,277,606,674,626,162,617,577,850,288,085,098,596,610,
600,206,963,595,624,089,766,063,864,680,228,165,899,060,254,102,243,058,021,
123,910,275,778,702,987,570,902,030,285,728,407,787,780,040,430,063,497,370,
131,406,707,541,059,770,897,778,325,198,610,149,182,617,409,630,125,275,268,
566,582,501,669,014,019,436,604,336,098,963,523,052,583,003,714,053,519,113,
283,190,167,834,943,223,816,741,349,697,014,807,897,572,646,591,990,468,043,
442,575,487,576,834,068,820,117,621,423,039,236,928,505,768,093,609,261,404,
010,930,806,720,083,047,879,313,072,435,860,338,083,228,708,611,380,564,471,
224,766,561,951,576,356,812,663,413,193,971,152,097,631,652,453,302,323,851,
648,088,015,005,853,754,998,209,614,641,881,881,298,723,226,644,996,076,752,
620,361,347,834,635,441,373,334,965,407,092,636,297,338,468,200,853,714,528,
874,563,036,636,635,438,199,858,401,974,113,231,988,102,935,794,807,089,169,
359,694,760,819,731,311,461,011,498,865,673,591,869,096,073,261,523,363,542,
737,913,375,618,023,980,185,832,650,178,656,610,384,624,866,886,910,242,657,
557,431,893,101,188,257,765,390,043,427,355,886,627,825,666,777,922,908,294,
220,062,707,001,720,255,243,707,032,528,045,265,426,410,566,381,642,203,476,
423,476,423,251,766,195,894,771,463,487,197,637,972,226,613,060,438,028,613,
772,545,505,613,353,964,893,928,654,513,460,170,561,001,711,504,681,737,121,
262,441,987,455,585,284,078,608,184,631,657,691,969,338,690,168,774,522,086,
771,223,145,307,271,222,639,306,401,093,421,383,216,143,370,121,150,862,307,
302,506,750,853,487,753,006,751,079,048,273,003,125,014,181,432,682,164,774,
466,090,785,073,712,993,557,974,012,280,553,730,372,280,647,996,564,556,683,
010,849,507,842,902,523,459,569,387,366,322,850,624,277,530,571,066,474,865,
346,642,574,682,781,561,071,436,951,951,356,647,093,179,979,957,745,657,696,
962,194,880,651,921,525,450,295,663,427,909,087,341,369,124,478,101,237,616,
721,655,033,688,636,517,592,050,985,342,688,088,642,969,749,657,466,878,907,
053,687,577,421,487,013,868,889,827,250,464,403,203,204,322,007,891,606,808,
415,043,453,145,167,267,198,717,851,772,311,429,082,322,408,685,477,675,121,
830,978,924,992,206,395,186,354,304,022,750,478,076,746,927,033,801,576,234,
282,645,323,241,660,942,420,454,205,601,867,378,451,942,221,021,587,110,037,
238,463,469,702,712,658,956,418,203,907,125,878,213,532,027,390,473,507,663,
702,975,085,301,214,813,676,435,465,288,420,802,851,796,665,102,850,609,500,
057,445,679,395,961,577,750,082,874,734,749,210,202,213,717,126,701,693,231,
524,842,055,946,095,841,625,081,370,776,491,119,174,142,013,498,816,243,512,
176,007,397,523,239,324,474,767,754,692,447,082,691,342,573,103,587,709,209,
666,630,193,510,176,796,889,700,522,237,104,342,020,139,383,050,195,081,234,
498,540,949,485,802,086,222,971,431,674,699,195,303,647,637,203,667,607,708,
393,567,136,992,157,181,630,836,657,741,427,127,169,250,121,855,339,066,453,
976,637,077,232,345,632,264,212,702,123,837,939,869,165,372,264,867,731,355,
346,801,524,813,197,900,690,949,537,348,239,821,135,524,587,413,617,680,206,
599,243,712,316,077,096,680,153,235,528,057,659,543,280,164,813,776,704,027,
260,524,767,929,739,547,702,636,894,928,222,413,488,910,604,302,556,250,027,
136,589,537,414,739,796,504,368,911,227,625,380,510,348,060,097,248,004,660,
854,485,824,229,629,814,576,356,044,697,423,436,943,739,956,506,778,184,268,
470,150,557,066,178,512,194,830,606,540,936,607,907,365,442,096,369,718,645,
364,486,811,727,586,321,942,252,252,399,246,753,415,782,702,002,919,299,831,
124,819,483,189,952,114,525,109,890,822,177,998,297,557,829,014,039,551,002,
808,746,111,032,263,748,659,420,970,151,777,089,384,366,937,535,274,787,985,
104,312,561,171,271,601,694,302,218,154,326,828,977,068,365,573,121,838,772,
221,724,518,699,964,805,539,639,832,050,801,821,966,514,299,138,177,701,851,
210,599,908,295,556,250,098,782,273,079,967,956,562,968,511,571,633,190,106,
615,070,496,094,155,883,317,129,837,926,346,710,434,295,162,345,430,784,615,
929,941,530,328,434,664,798,635,830,133,814,787,352,369,798,481,317,618,466,
604,675,233,202,225,979,014,589,840,642,627,221,132,585,270,225,692,461,733,
522,056,093,581,140,940,914,136,606,200,648,675,048,757,683,497,468,639,184,
032,330,634,957,591,847,154,742,981,335,658,910,673,978,133,454,065,892,411,
334,364,471,277,814,823,618,098,250,590,479,672,704,841,093,531,941,365,416,
758,726,440,080,625,732,010,151,028,485,287,904,451,168,937,431,113,801,114,
432,969,173,314,871,457,639,066,944,355,910,167,882,409,965,475,434,304,613,
290,387,836,380,887,559,200,284,332,713,741,648,394,671,399,299,257,786,697,
625,989,181,561,822,673,467,544,823,279,162,930,094,710,440,851,889,889,134,
704,485,641,518,422,863,985,460,751,287,873,718,089,729,779,114,625,890,175,
972,692,097,610,828,236,715,835,644,151,388,881,966,423,671,092,914,049,775,
275,183,443,968,465,945,033,811,064,812,119,280,715,232,305,667,500,416,648,
505,547,774,842,412,301,217,874,909,257,205,194,362,321,519,476,287,874,773,
158,520,215,777,422,284,733,978,135,405,571,736,796,653,472,843,649,125,602,
783,819,109,957,438,753,421,502,355,600,393,291,541,652,084,489,696,000,480,
663,066,118,877,970,167,101,538,944,877,683,281,448,797,443,942,154,876,457,
670,190,941,695,705,412,911,733,459,779,431,108,136,076,179,876,887,709,355,
911,611,251,692,926,508,967,305,673,333,250,429,379,581,702,681,549,747,095,
026,227,660,056,460,200,410,016,453,756,608,515,571,981,373,701,265,421,099,
782,654,418,390,276,955,764,699,980,140,722,758,620,659,521,207,477,619,677,
487,054,463,693,347,739,782,028,957,595,826,596,587,874,712,356,054,724,329,
831,821,059,901,852,739,078,058,085,028,189,359,552,500,686,310,190,662,483,
178,586,672,507,031,711,005,821,669,371,060,920,390,707,272,645,155,152,714,
182,845,308,521,617,554,071,992,930,870,694,657,294,111,368,907,372,075,356,
035,557,563,353,590,960,389,914,030,058,693,732,307,841,157,941,187,381,904,
370,768,818,011,128,208,375,045,579,246,049,964,549,594,643,674,669,787,458,
293,657,038,687,372,810,970,902,866,185,973,130,001,394,415,126,768,894,173,
402,464,127,739,693,089,732,212,358,134,691,102,594,509,464,225,862,609,825,
954,492,629,971,878,423,590,168,075,854,393,952,390,214,414,082,309,058,101,
504,709,409,233,349,118,337,952,101,654,256,996,423,968,192,090,107,066,834,
819,883,681,247,306,010,996,642,815,663,495,269,150,747,329,974,623,052,586,
881,070,084,148,728,054,995,741,039,770,633,370,629,556,024,291,260,346,469,
906,279,598,330,608,616,898,074,576,874,966,042,337,800,761,580,559,751,062,
051,750,503,376,166,483,700,494,535,073,394,691,383,683,489,116,378,201,910,
988,808,522,664,023,143,220,303,285,152,004,717,034,782,201,329,511,688,980,
169,998,456,689,664,078,244,971,918,243,956,572,147,315,136,445,774,610,033,
310,133,503,989,315,618,868,045,075,674,607,959,899,050,686,648,259,216,248,
398,143,955,268,754,128,873,665,462,010,884,185,339,937,293,892,090,805,520,
696,042,427,419,489,271,388,499,769,174,014,595,527,262,979,220,658,548,505,
320,725,960,180,359,349,203,628,490,773,183,444,690,724,139,533,339,106,981,
499,179,387,388,230,703,466,714,237,957,597,280,738,738,293,057,037,849,055,
256,722,191,242,334,799,997,164,935,122,014,768,958,998,754,723,445,759,469,
483,735,681,676,071,312,705,725,014,910,980,651,696,892,769,679,517,913,641,
478,628,523,112,609,900,581,177,181,733,297,271,546,977,665,254,604,417,507,
380,324,704,840,309,780,045,666,521,197,937,886,743,138,697,290,123,260,557,
906,955,093,892,225,473,204,066,416,808,837,343,107,596,335,811,368,473,525,
823,670,243,754,488,345,028,419,445,990,774,672,348,339,373,155,667,520,989,
763,292,496,250,960,849,661,699,740,759,969,930,025,761,243,323,443,042,318,
571,292,699,607,906,286,839,762,461,319,057,472,071,704,400,779,843,205,875,
127,566,540,077,462,686,926,280,740,794,081,064,157,937,174,245,482,027,394,
920,437,248,067,227,276,348,767,558,005,813,016,929,658,607,196,697,336,200,
766,195,072,642,375,053,841,806,152,210,889,973,134,214,583,663,895,830,719,
105,638,463,645,161,409,691,590,498,795,064,295,944,341,465,848,789,861,243,
014,702,247,192,201,558,530,047,748,513,029,890,637,289,435,816,561,683,325,
327,434,049,569,323,181,319,036,474,892,002,527,803,755,821,882,567,280,583,
117,489,365,042,723,115,417,965,624,778,771,077,451,387,405,846,626,893,942,
734,031,368,914,995,204,486,041,165,566,511,135,261,852,986,979,170,637,177,
698,318,068,681,076,477,693,094,865,694,810,972,967,665,178,088,493,166,869,
238,957,381,929,625,108,969,695,502,536,823,471,782,241,119,744,498,229,519,
421,713,803,839,776,449,091,646,876,487,245,313,070,307,644,083,506,708,070,
138,429,614,154,742,501,136,844,564,105,880,339,683,384,312,847,644,937,506,
885,686,315,647,442,458,771,745,930,266,327,046,684,341,126,132,525,666,128,
856,581,220,320,788,088,633,703,084,462,699,595,038,386,020,127,275,446,927,
427,243,314,361,858,918,298,558,688,895,715,577,913,225,104,983,429,930,457,
047,369,479,902,098,422,999,222,992,118,329,569,501,591,919,779,165,748,058,
370,652,984,917,378,213,718,347,384,896,613,690,669,442,924,435,696,399,347,
340,312,218,641,737,984,923,199,161,560,480,857,288,207,321,532,346,308,311,
046,274,174,208,307,696,399,432,663,526,084,301,146,784,017,078,759,938,228,
181,386,566,335,433,074,492,368,854,765,018,927,482,561,683,208,195,225,789,
648,309,844,577,415,826,347,496,139,498,331,472,127,960,485,002,807,075,021,
334,347,647,731,975,822,095,445,816,762,897,791,954,919,691,873,716,894,084,
310,992,285,541,201,955,316,685,994,758,625,719,982,333,206,861,233,567,301,
218,370,244,749,259,722,815,291,270,932,626,906,760,777,420,146,473,852,824,
845,691,116,806,244,529,884,338,182,311,760,951,983,023,313,705,664,322,181,
527,847,952,222,712,096,034,432,366,554,665,027,416,100,494,973,876,424,987,
046,898,349,415,156,558,918,303,635,731,682,549,572,371,935,084,549,693,404,
939,298,531,931,671,235,243,590,331,360,423,411,860,926,678,455,298,450,826,
995,370,031,412,725,814,079,927,301,070,306,347,112,807,758,030,256,489,077,
827,606,343,480,750,939,388,784,182,538,575,740,269,402,331,661,377,213,259,
015,202,106,213,249,210,445,286,689,784,967,518,946,391,260,427,199,941,427,
931,427,153,717,896,910,303,678,814,174,316,192,199,897,418,291,729,866,149,
820,370,937,597,127,113,490,920,846,517,142,594,515,353,207,441,804,068,372,
741,277,093,950,071,455,951,239,083,374,234,508,458,343,721,248,274,821,694,
774,567,062,625,083,197,391,436,592,555,418,298,278,805,790,924,077,982,021,
970,359,408,795,242,611,742,159,726,265,254,362,235,926,829,388,391,557,121,
412,645,871,441,516,823,763,866,329,820,384,485,783,816,730,176,449,418,465,
513,197,874,021,368,436,071,463,176,547,674,661,459,853,615,211,699,070,031,
744,943,157,784,872,052,114,973,655,025,520,938,564,548,523,045,292,650,569,
695,365,141,692,644,338,813,646,326,237,911,824,098,893,611,741,210,006,946,
915,515,072,404,264,060,339,085,242,545,654,415,600,844,559,142,747,086,467,
589,456,218,959,708,748,289,952,455,155,264,132,087,988,117,433,706,218,376,
983,234,182,705,845,204,777,215,241,667,263,335,481,463,010,437,801,597,901,
024,267,862,893,238,653,994,134,571,496,716,974,718,213,319,454,943,309,467,
915,191,857,234,200,975,182,667,576,469,701,611,693,464,866,082,932,949,132,
894,758,588,348,301,938,315,112,791,672,515,733,970,210,128,385,600,319,329,
549,692,033,153,854,935,604,866,393,677,365,772,084,438,796,027,061,129,762,
426,993,654,444,466,260,617,548,114,440,391,209,316,517,132,828,239,898,382,
015,726,399,029,408,513,735,193,346,078,633,599,233,865,673,507,203,904,234,
262,841,548,852,482,616,337,846,587,207,410,233,915,766,092,708,731,867,758,
949,279,367,323,031,922,838,421,543,317,103,480,765,859,196,925,108,619,544,
881,582,839,896,383,728,778,706,341,900,130,595,082,425,214,079,559,399,579,
531,978,633,618,992,305,713,126,874,506,489,264,797,397,244,326,970,423,445,
828,305,362,885,474,712,419,491,069,909,463,278,490,668,126,404,615,879,125,
915,963,651,532,425,042,981,053,620,669,520,898,240,849,837,435,622,884,239,
676,077,485,690,011,235,024,430,808,493,974,323,169,600,377,820,343,560,665,
176,266,520,364,498,967,534,523,007,901,522,919,036,871,590,226,556,975,740,
458,265,834,112,118,581,329,458,952,773,923,587,831,651,216,369,760,567,326,
941,348,825,755,302,114,128,603,553,449,570,216,948,779,326,321,212,193,382,
693,632,029,371,341,484,959,873,659,650,001,655,650,833,422,597,545,952,844,
206,449,621,884,696,687,747,939,487,402,258,585,341,209,513,842,530,511,160,
497,909,380,250,488,738,187,845,813,999,936,468,681,088,953,339,705,547,774,
030,022,292,724,373,167,397,330,110,886,448,378,011,535,668,815,965,743,086,
516,311,307,932,218,390,673,474,933,068,312,104,806,011,270,834,843,924,452,
229,895,422,168,637,317,260,625,839,977,008,739,411,289,250,880,221,471,639,
421,645,152,531,642,886,046,203,651,380,604,782,677,566,152,487,355,487,687,
481,411,039,705,301,718,344,312,143,999,669,227,797,432,438,737,740,073,371,
002,506,909,956,582,269,470,428,242,807,834,682,091,980,161,136,820,315,839,
016,413,583,577,323,638,894,325,750,321,167,476,706,994,720,110,885,672,640,
322,286,496,032,609,862,910,780,868,660,203,882,112,167,127,247,977,447,635,
107,481,719,119,108,047,743,561,314,982,234,298,751,614,039,832,465,814,579,
936,129,511,331,204,892,500,929,216,704,407,881,664,249,911,287,886,054,482,
818,635,745,491,024,270,241,078,443,730,281,169,046,374,094,294,576,634,152,
161,690,378,042,906,081,501,289,347,934,316,775,269,233,627,371,964,616,080,
742,968,200,877,699,943,997,425,667,149,894,969,495,501,224,900,564,467,899,
537,910,604,530,709,070,748,311,777,872,234,651,765,444,516,735,652,649,706,
734,286,571,083,891,715,658,471,258,033,386,789,173,694,800,837,963,772,147,
705,822,155,437,607,596,465,491,579,179,000,139,845,980,254,253,617,614,425,
683,953,013,404,782,947,496,613,826,271,370,869,475,682,240,524,070,619,145,
345,267,702,652,000,828,502,036,162,567,168,786,210,252,825,278,452,405,913,
868,199,530,292,665,365,387,026,521,603,990,599,544,194,358,634,759,408,089,
390,027,764,898,587,205,328,367,742,019,014,601,347,799,591,413,879,475,556,
791,982,783,395,831,799,477,682,826,294,906,916,654,864,180,535,818,894,078,
270,514,708,671,000,050,529,526,891,956,155,767,384,707,689,103,775,283,534,
320,450,097,445,319,519,074,325,007,062,687,010,356,262,577,699,008,728,827,
372,312,677,985,484,850,808,583,263,408,800,837,483,186,731,646,998,663,766,
020,898,797,203,793,105,980,045,637,800,589,739,791,748,979,100,346,253,591,
404,850,062,952,804,647,619,530,003,902,086,832,940,761,430,454,803,938,073,
535,437,805,331,078,358,919,599,434,401,833,059,254,990,063,549,154,065,932,
534,641,129,570,629,515,531,743,311,825,477,705,805,569,989,702,603,649,874,
864,282,344,353,692,915,361,365,943,077,826,292,507,386,251,147,557,786,438,
925,860,360,180,890,829,424,314,157,212,002,967,852,445,070,269,428,986,126,
688,360,723,237,769,285,370,240,178,300,943,613,460,441,395,063,573,485,231,
338,590,565,549,950,900,984,647,256,585,290,322,650,955,015,724,091,452,266,
569,107,238,401,749,660,847,627,920,699,520,105,067,435,997,456,670,954,870,
670,241,025,688,200,285,365,948,364,411,639,375,883,230,230,982,266,854,531,
292,523,254,866,258,755,517,495,519,407,585,378,027,641,809,138,696,785,775,
778,210,749,200,568,318,130,044,325,778,385,579,080,756,846,578,225,311,128,
910,797,371,511,017,304,371,651,351,706,697,775,287,262,957,528,817,313,732,
936,751,056,182,245,073,242,851,429,620,343,380,909,878,629,985,623,070,770,
788,365,047,438,864,403,747,849,125,422,281,562,870,025,571,701,513,487,199,
128,405,742,808,389,465,615,076,906,505,173,771,743,696,228,640,630,872,288,
004,207,099,258,154,049,469,387,463,192,049,890,613,832,804,885,243,718,848,
148,109,433,169,648,860,853,505,901,789,312,365,920,498,829,104,696,439,115,
462,640,677,692,664,272,516,264,555,136,365,530,328,477,795,929,166,838,626,
583,070,312,190,826,474,114,952,592,317,568,423,089,653,296,995,333,036,080,
213,064,242,845,844,247,335,176,866,067,365,650,688,940,860,516,482,817,595,
348,093,794,913,970,894,258,812,151,482,886,834,773,131,532,871,226,165,856,
541,245,739,449,067,538,007,660,148,260,129,324,376,592,059,116,042,232,160,
943,511,943,185,435,078,747,833,851,861,565,799,638,856,140,188,461,439,553,
428,338,199,417,106,958,737,869,003,813,006,194,154,384,454,406,911,365,189,
570,026,907,152,819,784,588,722,184,471,293,511,794,351,695,462,015,840,277,
992,871,627,243,815,515,655,495,901,429,175,845,387,478,430,774,717,551,818,
099,007,723,265,767,400,840,882,332,248,264,436,547,114,472,175,949,858,357,
066,242,411,044,755,664,832,016,259,224,959,002,912,137,917,221,357,157,859,
001,625,422,142,292,021,470,087,907,129,149,876,868,567,818,559,058,213,814,
826,152,879,701,661,024,942,193,792,755,083,173,406,878,649,707,521,892,103,
587,388,424,282,776,730,689,144,294,110,722,222,077,641,550,456,490,409,063,
450,168,488,186,452,043,843,339,954,024,075,224,985,876,701,121,943,960,457,
836,069,866,893,667,765,950,170,607,257,002,001,197,750,387,104,535,937,356,
045,660,040,745,572,310,170,721,419,497,215,345,010,611,714,087,896,330,111,
391,791,515,434,146,815,265,731,490,029,680,363,980,050,399,573,133,133,993,
696,686,279,953,252,269,202,706,850,592,083,544,363,856,045,593,408,965,637,
795,191,621,814,072,104,376,199,230,830,288,547,894,312,320,874,508,437,754,
560,634,243,982,322,220,777,531,426,738,417,480,929,616,364,947,264,346,944,
292,394,162,970,414,263,526,113,055,286,927,412,503,676,353,419,080,195,339,
036,811,952,758,866,684,035,693,017,123,991,612,317,724,722,074,032,439,958,
058,330,843,477,753,458,510,039,193,589,285,186,094,690,934,736,850,182,387,
715,318,682,263,725,755,003,907,219,834,308,020,585,208,387,978,144,640,289,
912,152,298,200,278,271,683,560,154,036,461,846,934,830,160,892,782,783,342,
087,306,931,941,372,402,258,430,418,304,868,968,726,541,975,674,251,821,215,
057,674,089,158,883,101,725,652,633,785,036,955,460,444,491,651,817,366,225,
235,909,835,512,544,179,504,725,230,212,028,277,008,633,038,551,586,319,477,
691,381,747,108,889,686,311,321,394,690,364,783,566,695,403,208,726,627,182,
269,706,296,573,819,154,228,523,407,927,863,010,656,053,988,308,920,955,230,
469,785,276,908,965,823,444,350,258,275,412,262,397,979,797,762,033,053,920,
340,532,577,208,246,321,251,679,627,144,570,932,793,831,276,040,953,462,648,
961,792,908,083,230,930,124,689,805,534,034,125,200,370,213,358,951,007,286,
479,325,425,311,761,324,370,711,712,844,740,558,359,824,195,413,555,385,789,
403,298,683,182,105,078,122,047,418,787,201,740,980,442,054,539,719,481,431,
114,675,397,148,972,518,112,819,413,488,539,018,766,741,353,160,122,632,611,
474,913,211,432,996,997,182,181,755,325,192,941,687,714,803,925,939,280,716,
405,233,883,549,184,941,899,175,363,187,511,340,063,888,455,407,335,912,699,
628,732,163,159,328,949,293,873,811,816,358,051,450,069,036,045,793,965,856,
602,046,657,631,753,744,565,741,359,505,163,693,748,118,624,226,646,701,028,
686,428,149,511,447,096,153,536,443,164,897,181,901,121,077,410,425,843,722,
776,351,571,744,684,393,735,158,733,823,785,541,522,148,783,993,310,517,432,
296,196,011,432,562,057,409,860,155,008,494,822,199,896,724,127,682,909,237,
038,558,016,476,441,638,997,068,587,766,422,148,372,305,774,269,194,088,048,
422,882,630,902,400,375,514,713,106,160,580,060,154,553,201,377,125,423,859,
701,231,462,212,235,759,281,292,624,887,925,455,753,597,596,802,601,775,409,
332,851,046,637,467,682,392,531,038,464,292,325,280,023,105,134,469,256,716,
846,316,667,957,897,455,641,350,867,063,888,755,774,749,651,564,959,252,717,
175,748,734,339,248,047,608,200,341,074,071,327,345,374,920,124,911,929,635,
300,250,732,749,119,789,332,191,766,489,000,500,247,631,608,906,196,278,468,
051,278,393,604,609,338,697,029,901,193,921,765,674,253,372,959,451,741,447,
849,923,785,576,069,980,428,362,243,797,950,154,617,488,001,454,667,356,978,
026,080,136,051,577,948,070,300,433,417,680,133,153,249,797,216,614,108,904,
720,706,487,919,427,876,889,262,786,705,970,834,435,315,690,643,429,314,241,
955,021,696,088,914,643,136,269,761,591,311,504,229,049,001,100,429,118,596,
549,498,121,304,584,833,789,700,276,979,847,978,922,596,907,042,227,548,517,
916,984,884,499,114,018,902,044,524,691,981,861,536,754,702,076,311,365,876,
085,535,668,944,880,735,951,841,021,377,363,053,415,492,086,909,414,574,459,
521,884,998,547,974,888,883,503,489,000,652,302,733,366,673,186,030,372,113,
404,449,351,192,036,916,173,126,671,142,939,852,530,133,002,835,345,633,817,
383,610,447,887,152,441,873,159,748,940,820,850,889,696,498,258,426,926,598,
431,664,653,190,086,876,252,537,502,058,350,776,004,817,727,328,037,245,817,
716,531,757,164,638,701,426,659,483,853,974,777,040,283,739,123,604,145,628,
073,065,092,990,877,213,752,719,093,134,514,655,726,804,770,529,069,204,632,
693,422,343,104,377,353,904,876,296,134,441,783,922,774,012,917,396,057,280,
987,504,387,026,839,031,896,032,469,518,166,680,028,832,442,191,503,192,771,
807,872,587,954,523,786,486,069,448,359,832,151,439,069,518,551,625,436,462,
169,280,663,430,834,130,737,343,184,736,636,160,979,247,589,264,790,376,778,
000,201,778,381,967,966,431,525,053,957,319,901,586,313,712,250,662,600,835,
947,621,093,422,921,547,318,017,058,740,091,997,283,614,994,896,843,652,424,
519,566,890,984,851,635,582,638,418,282,329,652,177,033,283,694,295,880,435,
927,148,546,835,417,209,692,708,208,122,078,575,688,697,892,861,125,969,493,
324,037,799,351,685,013,941,548,149,787,269,166,411,227,476,501,232,096,085,
615,908,797,155,040,450,222,209,767,243,140,363,647,639,823,606,167,914,959,
138,719,490,345,668,695,884,825,335,116,745,481,279,993,181,241,442,589,842,
299,261,858,533,822,004,306,159,949,251,713,956,824,973,596,611,615,730,937,
843,311,291,088,864,090,180,484,926,268,155,846,387,197,235,409,053,942,646,
640,334,314,662,376,278,878,602,728,452,403,089,985,064,789,034,810,187,202,
343,887,437,547,927,676,599,195,951,304,642,555,688,091,209,704,644,355,023,
913,021,991,736,816,656,554,701,862,589,592,940,602,988,607,173,942,932,059,
813,233,294,057,594,181,444,884,580,915,689,986,012,288,486,868,353,579,229,
082,537,508,338,792,060,715,502,718,134,028,735,506,890,779,780,470,891,885,
053,961,497,640,687,436,517,132,591,831,388,377,827,626,451,683,190,800,525,
949,079,374,806,611,465,749,663,925,907,170,169,872,381,395,432,133,262,960,
972,925,135,784,866,027,438,633,614,885,578,601,247,989,259,772,232,240,598,
426,100,006,235,077,241,975,346,698,470,140,125,513,214,790,073,310,868,698,
404,810,827,093,388,192,048,793,726,462,823,160,361,426,622,705,259,041,014,
990,858,605,447,746,099,367,129,740,111,846,847,534,197,839,106,020,702,741,
599,985,969,471,903,540,454,087,478,506,374,149,438,195,682,543,642,592,006,
997,476,439,732,933,760,534,083,652,812,590,478,655,076,315,545,540,792,400,
588,287,781,335,702,051,766,973,845,618,652,166,865,381,943,727,584,369,567,
077,553,046,614,493,677,629,620,206,076,188,817,310,959,251,781,106,065,492,
529,778,407,261,626,407,067,669,164,239,996,504,332,709,739,156,104,418,506,
550,342,560,893,083,912,440,514,124,640,911,031,646,000,577,846,682,061,156,
169,457,841,583,557,493,918,388,675,372,064,903,900,809,647,443,332,333,976,
656,986,827,742,245,084,811,215,859,069,724,639,213,013,446,879,098,878,249,
052,329,138,406,939,945,154,363,438,749,478,027,428,474,731,716,410,471,398,
057,380,309,799,147,101,859,240,482,910,735,594,220,046,943,334,402,164,196,
950,341,005,733,591,963,340,195,073,587,377,680,050,847,087,997,005,996,476,
241,973,379,486,787,948,364,900,309,497,182,431,489,394,317,204,424,028,923,
066,032,963,726,144,574,319,455,067,176,777,873,760,508,094,201,057,054,729,
147,509,284,319,576,229,979,270,034,905,145,248,199,023,560,816,143,356,578,
606,162,915,801,747,348,948,434,498,088,703,111,685,444,169,952,978,205,822,
982,211,481,094,994,658,127,806,927,500,637,100,196,326,654,622,955,149,505,
863,492,158,562,076,545,399,028,154,742,575,151,382,443,142,103,990,199,754,
568,739,475,120,464,969,155,318,620,322,770,882,180,769,931,326,312,712,583,
698,399,159,520,946,992,373,444,064,137,067,079,068,405,080,418,309,882,447,
159,577,560,320,889,763,192,192,968,132,861,538,966,147,772,331,185,932,296,
678,472,991,579,718,064,618,370,131,300,175,024,514,072,953,749,334,534,447,
217,132,028,423,596,156,883,968,201,309,719,335,077,875,987,161,166,570,698,
764,983,621,902,871,958,985,315,123,795,708,399,017,473,212,719,486,065,246,
101,253,825,058,489,394,586,145,936,318,217,580,811,150,234,235,054,197,326,
603,270,323,186,259,015,304,757,033,964,843,502,037,193,803,362,441,359,443,
402,001,094,490,070,601,533,807,948,829,692,779,946,613,172,603,769,406,918,
928,355,994,480,982,990,300,830,059,903,556,941,897,930,504,880,965,302,871,
019,926,940,083,706,621,461,903,308,622,036,233,951,418,633,458,865,900,087,
215,060,622,271,968,792,021,320,100,799,262,994,825,976,275,808,391,797,710,
400,185,254,750,680,099,761,618,004,014,703,229,727,373,904,407,621,961,234,
572,929,418,193,939,048,483,489,359,176,529,504,736,294,334,807,968,137,486,
888,219,476,624,929,132,892,144,088,722,468,812,100,728,425,724,873,038,607,
152,314,729,722,840,501,757,729,972,605,307,505,401,742,466,390,046,859,941,
840,529,457,503,318,114,416,154,330,519,604,973,603,256,296,739,959,162,328,
910,685,339,114,429,560,276,830,287,810,169,049,777,912,690,899,981,539,570,
334,726,906,309,787,029,398,596,230,213,728,750,034,649,562,998,236,975,362,
909,686,101,154,436,550,264,914,803,203,493,410,357,899,294,965,314,490,290,
858,086,147,017,502,248,537,220,308,882,433,940,136,078,053,819,588,373,186,
706,423,589,875,573,825,011,230,378,071,826,289,543,940,529,504,242,637,843,
889,774,120,723,082,847,597,549,681,017,276,439,901,496,171,312,312,153,929,
205,779,986,540,955,488,166,144,558,343,225,540,751,031,856,377,467,618,067,
368,355,731,939,702,480,012,912,114,527,508,737,675,530,919,694,620,884,543,
092,985,449,331,679,535,137,915,849,968,693,170,635,076,372,421,941,960,488,
860,909,860,918,623,030,746,448,671,850,679,511,238,569,890,441,645,841,071,
253,468,315,063,872,591,000,365,054,024,189,955,832,511,368,477,021,451,932,
386,033,180,901,819,938,775,409,854,688,120,085,130,829,377,866,211,938,774,
901,559,451,162,104,596,784,815,794,858,936,781,498,648,822,127,878,278,464,
638,294,044,807,453,209,298,834,928,756,296,187,141,033,860,795,689,249,968,
047,043,212,626,352,450,832,211,039,459,773,136,706,242,197,056,940,070,641,
519,301,080,415,246,061,167,177,783,629,300,076,130,542,944,744,290,205,327,
639,315,916,582,830,564,178,773,790,518,314,330,969,443,354,932,678,419,970,
597,501,663,645,275,403,598,535,372,040,547,062,357,546,586,921,073,005,974,
676,743,681,196,216,220,498,508,459,201,653,550,043,941,059,490,913,942,269,
688,453,062,367,161,325,830,472,598,204,574,974,083,141,494,909,128,220,202,
389,447,762,275,500,531,348,738,626,619,487,761,441,578,992,882,957,131,761,
891,158,207,836,081,568,566,860,335,489,151,207,726,659,658,721,095,130,952,
653,763,409,673,316,854,110,474,729,991,139,249,663,745,297,500,833,068,386,
008,958,167,412,011,834,775,001,218,370,514,975,933,803,107,961,079,052,464,
895,673,242,368,644,863,697,964,462,912,063,201,591,238,935,607,900,676,463,
231,510,930,621,176,106,169,016,136,199,328,977,507,975,863,614,710,107,898,
828,946,522,743,450,150,058,493,310,504,250,418,758,528,638,703,592,948,735,
881,647,706,786,921,020,308,537,677,314,082,398,028,672,443,377,085,722,668,
438,303,368,451,341,002,344,075,091,546,646,868,584,445,612,554,500,653,598,
785,349,393,218,697,509,956,564,942,788,403,546,899,710,039,259,375,824,067,
828,482,776,141,993,304,985,394,889,517,853,158,476,812,531,539,731,183,788,
474,682,742,689,916,173,175,200,826,730,046,473,870,465,144,919,615,612,179,
896,007,165,567,013,480,106,880,221,301,762,901,774,787,075,380,032,730,248,
437,111,228,202,074,347,837,444,290,744,829,189,086,656,819,812,303,992,219,
557,308,585,290,966,661,999,811,590,798,256,905,278,580,199,511,229,059,574,
064,499,867,962,152,660,187,873,866,895,590,461,214,119,604,877,770,172,079,
304,605,148,380,669,115,183,280,873,067,708,551,898,549,238,347,399,966,246,
016,123,289,214,869,765,443,190,060,549,086,214,347,290,810,021,521,246,027,
412,014,140,271,968,954,123,687,555,427,741,185,664,285,385,433,198,723,255,
652,275,891,711,965,740,100,741,800,186,721,097,420,007,271,880,208,287,217,
185,754,836,169,413,335,597,222,076,863,874,140,557,703,074,177,533,459,305,
255,910,376,869,195,398,666,835,843,266,165,946,066,056,370,029,447,406,807,
137,525,023,437,155,542,550,936,455,257,406,112,208,140,352,077,344,474,145,
448,560,571,184,706,938,764,490,351,131,624,609,669,430,843,313,817,987,400,
676,078,116,513,376,690,636,946,945,934,519,444,297,646,769,972,590,595,565,
956,106,834,997,287,163,225,843,364,859,092,561,979,463,453,976,012,863,510,
363,851,182,867,060,539,707,937,776,904,831,784,253,383,355,382,639,801,554,
037,135,300,049,739,302,746,369,868,100,749,537,182,446,792,132,996,629,920,
618,920,626,837,186,092,031,067,316,453,420,602,711,929,694,796,513,510,078,
072,090,171,497,476,848,821,909,616,387,921,441,273,654,112,982,727,483,005,
129,156,883,781,818,792,235,268,352,017,183,638,101,237,434,306,024,640,593,
768,946,478,471,757,738,699,622,861,167,158,885,760,532,042,755,585,812,134,
510,451,912,601,290,101,029,797,865,576,811,091,481,786,381,704,972,066,009,
294,124,251,475,064,873,941,501,164,263,979,865,833,995,507,763,516,282,880,
961,697,044,944,096,238,999,470,867,919,785,232,171,776,911,245,525,048,183,
687,654,011,113,317,279,768,525,986,146,947,997,412,134,283,698,506,705,883,
418,523,448,094,603,140,100,206,213,231,255,811,437,681,770,278,888,054,781,
593,269,816,408,624,181,302,161,547,065,308,644,398,847,645,138,067,597,293,
270,478,775,232,559,379,671,261,072,986,829,835,334,419,186,752,332,092,356,
344,937,844,761,956,906,619,259,181,432,840,820,759,975,524,319,244,822,022,
719,714,228,331,349,815,146,893,107,972,216,921,073,661,261,137,394,600,382,
711,022,024,410,801,904,438,137,662,623,022,008,976,142,115,924,110,900,667,
290,641,935,535,206,253,442,772,922,685,778,428,363,066,422,461,670,578,731,
525,884,705,523,742,014,188,027,393,432,603,982,557,703,869,918,952,272,032,
616,033,360,987,789,495,425,803,125,041,319,661,500,563,152,327,645,140,949,
976,567,615,436,735,982,184,747,267,394,864,540,565,687,364,941,085,492,625,
045,677,846,440,670,314,331,920,793,320,095,261,438,177,580,505,322,992,855,
423,894,607,655,130,851,519,186,153,975,396,116,150,707,626,720,848,199,036,
536,862,767,978,463,962,236,451,698,491,058,788,908,002,514,962,890,210,379,
554,198,161,009,357,864,055,205,263,063,279,789,603,339,840,213,107,990,596,
936,597,760,830,807,778,506,723,688,519,043,334,361,869,590,302,063,279,736,
704,870,655,582,718,789,597,719,791,769,224,460,911,694,207,552,320,283,981,
875,989,374,300,992,544,738,668,219,019,492,949,058,007,698,469,902,949,298,
083,460,029,619,510,860,168,699,127,669,506,675,392,520,964,165,497,536,376,
046,320,307,907,518,875,702,022,376,516,452,794,902,269,173,013,084,036,471,
273,939,533,253,443,996,803,285,497,649,230,998,137,693,715,574,224,878,529,
442,348,221,541,325,044,160,023,511,213,953,276,032,752,307,804,188,411,977,
007,500,546,949,298,695,756,821,290,339,463,420,068,695,271,150,081,965,732,
002,662,989,350,988,038,422,002,934,595,721,198,974,476,542,527,990,489,072,
142,879,721,381,988,359,464,247,796,155,505,617,500,291,901,814,265,571,203,
730,503,780,429,049,737,411,676,222,019,138,660,563,027,601,915,006,981,903,
281,412,310,980,986,050,367,206,502,548,425,152,306,046,906,598,373,839,836,
677,161,475,116,231,000,600,982,814,126,919,377,758,308,595,608,991,634,413,
095,666,742,647,356,771,370,595,914,179,983,933,246,819,204,564,429,752,104,
242,093,315,891,778,091,970,752,477,436,668,324,597,876,181,955,442,236,612,
499,233,240,549,456,276,310,448,840,868,815,342,573,885,166,558,433,331,153,
298,389,250,436,582,466,923,285,452,224,285,434,077,580,815,016,723,041,923,
957,843,283,395,950,018,772,873,638,071,802,119,238,764,214,874,854,503,318,
913,183,586,594,788,336,988,939,551,183,752,237,078,133,128,809,475,847,006,
100,896,768,227,797,938,764,398,030,052,143,835,630,172,803,614,054,092,489,
734,740,104,722,135,013,366,468,245,738,379,462,857,044,123,248,526,610,066,
847,128,233,949,332,402,333,788,146,229,069,911,411,983,124,492,586,182,495,
120,447,168,156,714,438,213,884,578,752,063,597,981,575,125,547,654,428,332,
981,432,612,642,803,262,381,628,446,167,150,783,437,800,003,667,238,171,788,
952,114,278,674,507,695,986,866,650,606,971,742,755,990,719,499,965,629,958,
748,270,027,475,780,763,551,184,614,014,785,307,825,147,558,583,119,514,456,
714,170,246,862,309,631,901,817,162,287,168,216,583,573,163,423,046,439,686,
000,397,994,413,120,002,487,152,581,525,709,274,443,141,222,929,715,205,171,
167,494,759,680,943,020,352,186,681,011,939,350,021,347,543,529,731,069,014,
588,413,767,070,058,979,979,219,607,568,749,983,275,361,308,170,460,947,898,
074,296,578,330,004,935,727,175,615,088,866,835,531,156,090,490,601,046,932,
007,239,615,647,470,377,986,050,985,518,954,117,947,330,834,537,936,348,923,
549,248,653,307,801,879,874,628,217,800,186,369,760,247,628,806,146,392,059,
587,423,852,462,789,330,756,072,867,603,301,496,190,598,946,739,203,370,269,
287,771,767,532,559,446,722,000,882,699,344,386,405,710,275,087,236,549,710,
167,830,208,984,042,374,080,740,032,142,593,687,383,049,347,813,683,461,120,
726,492,121,387,843,562,650,016,695,602,644,519,911,964,563,856,504,601,659,
687,977,723,961,268,975,970,258,967,953,440,369,058,195,316,438,512,949,744,
389,881,370,572,759,928,159,110,510,944,141,921,682,347,107,970,905,583,674,
499,594,328,121,635,022,843,989,983,983,265,688,923,115,655,007,274,308,448,
990,031,017,833,349,724,034,949,333,876,092,518,624,500,003,666,685,829,337,
861,498,923,363,194,610,148,545,297,181,686,233,774,043,081,985,296,162,200,
552,078,273,148,294,691,464,498,906,099,741,655,097,907,000,962,040,183,202,
242,273,541,199,304,970,028,968,636,637,340,936,648,465,258,414,394,984,974,
518,212,505,919,945,240,810,507,071,900,296,239,422,058,915,794,642,435,603,
225,166,478,356,480,127,553,965,647,064,171,566,503,719,110,028,071,569,053,
025,356,300,943,447,623,934,811,397,148,335,263,445,958,090,535,817,854,904,
839,581,020,214,561,930,289,310,778,316,939,272,340,386,492,548,669,265,808,
463,632,251,293,558,614,932,154,104,522,143,960,688,427,957,290,932,439,667,
082,434,568,286,376,545,171,706,260,733,729,992,863,951,046,748,946,594,273,
832,536,960,386,883,695,404,151,015,159,476,258,717,485,534,070,599,535,292,
421,348,230,919,756,680,712,558,666,335,815,421,033,669,994,608,946,937,268,
949,613,000,496,993,029,499,416,178,925,864,453,191,784,641,793,841,455,609,
342,581,166,731,737,177,299,090,060,028,872,611,409,558,719,313,712,556,353,
107,562,073,775,193,572,404,415,578,393,173,871,355,874,477,776,573,160,220,
606,100,608,541,160,986,999,204,304,793,992,031,484,068,572,840,763,804,274,
826,278,858,979,981,492,983,745,451,003,012,646,422,314,418,851,943,458,937,
283,625,758,107,920,170,399,866,032,649,010,807,952,641,589,629,740,496,417,
802,799,799,917,054,677,220,585,181,894,566,794,775,267,325,471,528,163,737,
783,172,275,235,305,091,658,479,820,985,993,410,457,187,633,502,292,727,811,
363,639,188,443,205,537,499,141,492,881,552,871,870,107,463,259,806,204,042,
330,227,392,353,310,786,054,454,443,085,639,204,509,083,555,741,812,683,265,
763,940,816,799,052,457,136,429,547,509,221,329,334,790,009,081,047,129,368,
156,855,792,249,848,795,649,507,362,518,670,268,348,028,169,014,035,016,590,
852,302,706,555,694,738,907,783,816,621,424,092,024,491,497,088,323,907,576,
931,276,828,605,463,027,299,609,818,321,812,404,318,656,647,517,055,287,503,
090,131,548,152,530,644,318,434,956,493,446,765,340,553,957,761,488,347,594,
197,996,588,949,001,890,868,949,687,842,033,308,773,787,711,790,500,455,694,
680,731,579,964,348,498,704,693,553,509,721,315,025,912,533,852,477,703,556,
961,525,825,191,721,303,320,040,179,558,466,109,515,234,665,987,375,126,623,
616,296,319,083,036,914,944,395,582,195,665,808,373,810,691,156,574,833,908,
220,400,774,499,098,090,653,984,379,940,127,591,531,848,362,068,887,209,505,
522,200,762,072,441,973,848,891,354,738,172,426,522,948,973,872,177,867,785,
156,646,220,213,639,862,947,198,160,554,657,806,273,100,130,932,261,645,361,
143,686,387,428,023,638,856,790,220,752,023,089,338,831,545,673,938,538,154,
773,747,574,337,323,423,455,830,438,508,202,683,388,948,587,111,973,493,328,
464,630,917,818,988,994,734,148,280,369,770,470,586,296,995,549,588,497,351,
777,479,884,437,834,069,636,648,056,335,029,181,796,228,978,922,240,679,838,
206,438,769,905,787,451,718,128,456,676,633,192,023,467,464,235,885,786,828,
213,314,876,371,393,778,644,154,468,122,263,414,434,427,766,317,600,407,462,
061,891,919,030,984,648,249,569,992,223,623,931,896,325,785,397,769,461,242,
538,133,330,623,548,372,791,238,652,218,421,736,586,044,113,669,558,459,276,
696,968,415,870,142,094,483,506,453,911,718,399,095,477,982,711,077,847,751,
463,341,000,117,738,703,306,640,276,757,984,783,023,488,218,562,473,271,605,
284,624,276,233,824,330,523,458,510,100,752,068,996,738,106,567,073,231,908,
926,633,138,382,483,295,790,331,484,792,595,874,661,442,123,069,047,755,078,
646,874,877,846,140,754,759,177,089,372,234,351,456,402,118,919,216,169,035,
166,559,294,835,728,312,281,099,643,953,202,314,012,375,326,390,874,283,436,
371,503,943,656,002,985,380,629,845,031,874,691,070,880,434,513,795,361,793,
093,446,409,724,278,212,806,013,098,880,880,321,446,134,855,154,054,435,135,
102,332,030,627,547,859,822,451,262,677,602,751,230,202,080,623,637,915,608,
695,039,841,045,777,857,240,029,475,340,717,022,705,436,170,107,575,359,871,
561,041,423,471,305,083,596,829,900,520,704,759,343,373,443,972,482,920,321,
951,005,901,276,602,135,493,770,343,190,844,204,066,292,001,899,396,751,211,
017,145,719,545,481,460,418,237,062,563,668,955,810,330,405,672,218,381,852,
012,609,900,854,790,291,407,148,319,131,801,005,839,679,991,716,540,167,225,
820,923,907,779,178,110,809,151,216,952,966,741,233,588,115,306,782,549,700,
997,681,663,979,675,204,808,485,605,092,782,419,140,427,865,930,861,229,030,
249,590,805,518,308,579,451,340,552,850,769,234,883,856,436,739,681,036,848,
086,690,125,110,610,749,025,534,735,112,050,725,729,647,848,126,137,855,579,
009,591,964,762,650,931,325,600,512,474,007,659,354,926,285,257,768,108,401,
452,018,556,309,985,500,765,154,526,493,879,262,820,356,469,042,858,053,084,
854,283,805,745,793,822,551,888,471,358,437,614,543,297,118,499,259,846,372,
396,665,290,571,434,518,336,289,035,526,044,819,249,963,657,735,852,844,673,
876,738,249,557,870,893,908,504,843,258,832,872,835,946,751,202,963,936,759,
808,235,585,260,000,982,324,901,118,758,231,848,757,619,875,540,237,605,520,
332,917,666,503,842,243,836,521,163,629,813,373,222,927,329,759,141,950,580,
773,980,791,660,465,895,400,062,079,826,857,021,321,259,651,533,715,272,762,
973,691,031,266,996,539,360,574,138,228,575,825,497,114,052,178,961,234,149,
362,679,622,458,350,379,982,263,577,585,954,205,042,388,227,882,002,517,872,
080,262,652,283,357,231,930,407,494,812,914,710,437,440,007,065,875,837,798,
358,001,582,690,085,962,131,574,645,608,446,775,535,163,491,645,224,192,243,
633,058,966,730,395,281,868,878,551,896,756,995,604,800,654,731,258,287,480,
357,177,124,953,036,872,623,483,084,219,750,967,832,172,995,628,103,406,504,
545,009,403,250,941,933,475,007,325,497,398,703,976,823,054,849,050,912,025,
563,561,282,819,251,698,813,803,344,649,411,467,962,006,811,451,749,683,130,
634,703,373,649,871,618,073,062,562,389,781,851,171,051,470,067,917,653,832,
144,409,724,085,732,361,930,230,104,300,693,428,058,858,481,907,117,061,334,
348,505,514,940,725,956,933,964,191,426,912,127,395,193,519,559,909,346,709,
549,636,733,150,045,088,313,150,874,684,277,397,708,679,442,831,551,773,214,
029,493,027,694,101,713,727,218,284,242,883,025,766,699,422,702,069,271,366,
521,601,336,995,529,165,996,171,117,915,220,679,765,067,629,202,516,509,130,
315,341,580,915,774,981,009,152,251,623,307,322,510,742,401,488,045,218,818,
880,505,112,851,876,714,885,585,804,201,837,303,276,453,851,601,990,986,294,
372,908,524,383,841,598,459,015,800,855,615,447,279,261,096,748,449,775,535,
525,133,444,469,071,202,389,980,940,727,935,304,694,481,924,279,353,495,425,
515,953,305,448,077,676,668,711,799,039,794,461,314,078,715,669,672,162,764,
289,091,047,129,653,825,232,347,495,517,460,941,373,244,544,195,288,344,269,
368,463,642,082,574,668,216,034,408,358,325,266,146,211,887,681,168,100,031,
173,006,025,541,217,685,749,714,911,192,140,761,698,720,168,804,733,321,610,
041,727,551,905,305,041,292,481,782,257,951,653,995,537,473,816,625,884,712,
531,917,108,589,282,485,151,359,597,346,598,652,855,595,002,165,548,332,364,
480,565,332,441,333,484,992,305,503,625,082,289,638,463,660,340,259,090,737,
778,915,078,551,808,328,293,420,056,718,925,778,264,025,377,033,218,819,402,
072,698,149,594,625,862,320,106,799,185,505,823,398,681,593,254,802,643,497,
095,143,913,448,642,232,365,318,206,933,968,072,430,042,387,386,279,423,567,
041,417,033,092,715,476,086,077,087,962,665,642,373,662,131,699,759,257,192,
112,053,892,883,781,364,439,845,384,530,838,672,907,618,046,340,426,034,348,
140,520,081,744,727,189,243,657,168,184,176,729,817,885,316,721,778,790,707,
186,589,205,143,787,289,603,070,626,073,897,509,164,724,012,781,278,791,413,
664,977,084,532,659,649,046,966,802,780,291,478,950,818,614,971,952,425,771,
593,496,038,459,326,848,184,144,574,230,666,534,822,528,720,689,182,857,503,
085,579,881,134,486,048,360,513,605,956,426,191,186,475,626,265,696,670,068,
625,568,577,390,436,502,210,273,123,311,877,474,441,267,787,415,652,888,137,
263,838,412,959,339,063,059,002,209,790,559,387,247,121,276,061,038,705,319,
926,082,859,491,754,845,268,971,783,574,945,774,756,400,669,144,790,843,429,
103,710,218,325,857,190,299,433,755,049,700,024,668,164,442,184,254,528,441,
228,461,908,555,102,134,144,514,452,992,914,068,248,476,600,165,269,004,271,
047,557,543,200,598,684,970,619,392,797,231,671,690,849,296,847,687,498,296,
856,340,347,382,668,760,478,248,586,317,925,785,932,371,071,677,653,940,337,
572,938,099,969,060,119,513,302,872,231,471,607,354,421,401,355,806,353,160,
319,204,935,453,772,415,013,373,471,986,138,287,090,254,379,209,088,546,369,
934,267,142,163,998,267,762,509,658,738,427,209,103,994,326,278,995,339,633,
867,582,687,913,472,692,843,374,616,052,550,164,483,563,258,970,171,334,061,
962,750,905,573,516,446,498,161,805,889,527,692,295,052,632,582,531,091,360,
125,783,639,065,315,669,089,764,762,349,810,674,433,125,754,103,169,035,312,
253,747,751,540,970,004,962,876,117,220,552,912,288,795,843,096,593,184,561,
010,160,035,519,107,691,161,325,457,488,470,600,190,328,145,257,981,885,254,
142,158,336,579,422,977,722,911,300,757,971,048,373,847,008,537,913,688,812,
580,635,880,855,883,445,439,456,727,752,341,639,372,794,838,883,153,662,027,
062,568,458,566,545,801,418,697,889,730,950,647,115,707,976,050,045,510,987,
737,106,478,040,296,915,106,949,403,585,025,778,962,624,859,278,600,457,216,
879,704,309,331,049,060,146,353,884,441,338,114,972,293,043,065,737,489,386,
498,445,130,948,235,593,993,831,082,237,599,729,173,246,563,683,705,716,221,
011,964,508,400,998,665,887,313,945,589,138,423,004,296,251,240,186,706,484,
779,975,074,626,437,825,585,408,940,233,595,092,542,557,009,923,665,677,594,
542,638,201,951,734,127,289,975,851,699,925,523,372,087,181,831,563,149,439,
273,402,736,973,606,620,478,643,896,457,865,671,261,835,175,480,740,577,726,
645,257,525,486,798,751,490,965,078,548,489,534,729,821,775,598,672,323,627,
556,410,715,934,789,510,027,434,603,303,468,897,076,791,042,664,020,554,067,
330,347,715,996,149,364,695,960,017,136,471,342,242,605,675,502,888,422,254,
858,572,768,116,944,807,646,867,946,959,628,927,734,104,938,265,002,906,878,
316,342,869,056,697,113,396,653,725,959,259,050,141,592,132,305,716,075,890,
332,358,009,527,592,663,806,435,583,868,341,597,715,583,725,021,010,179,016,
251,933,079,646,002,390,702,975,835,904,424,484,995,552,835,694,339,559,391,
007,786,680,704,870,215,445,563,784,115,129,312,343,192,485,729,718,830,971,
782,035,671,551,486,131,003,926,932,598,551,034,345,561,236,190,223,395,724,
380,365,533,220,652,591,800,530,024,613,998,278,532,951,530,071,871,344,429,
130,859,664,579,084,932,369,886,919,105,066,203,303,447,833,190,930,496,567,
656,053,722,483,934,614,347,643,700,092,744,684,053,097,193,388,503,860,117,
189,656,756,486,861,252,826,316,995,649,340,549,426,959,761,209,252,970,035,
253,332,377,481,532,244,306,157,099,305,354,976,035,636,725,065,001,127,549,
471,324,963,552,277,680,180,617,783,260,318,138,183,708,899,135,981,694,534,
118,928,895,427,869,815,453,745,859,363,072,408,140,516,457,416,039,125,343,
139,251,843,048,807,338,451,694,578,422,456,558,393,404,041,371,263,129,243,
734,650,594,594,657,347,558,465,773,844,134,269,063,775,983,345,055,758,445,
471,247,577,579,517,464,479,708,443,968,008,240,068,305,873,897,237,099,335,
914,276,808,817,385,929,163,645,962,884,338,634,682,776,047,043,262,696,506,
461,063,963,283,410,224,615,923,418,796,468,638,619,607,160,634,850,751,837,
974,051,047,865,210,806,120,144,201,038,678,465,059,208,913,091,668,653,712,
120,428,108,834,787,770,635,581,584,666,396,274,034,429,086,504,060,040,227,
886,958,598,898,744,746,809,543,827,081,885,327,168,093,300,316,778,218,846,
525,936,440,008,316,861,655,103,471,808,325,313,613,431,636,591,064,800,947,
104,535,558,126,932,421,404,593,970,096,560,114,355,290,124,316,364,687,482,
342,645,195,584,691,389,101,617,193,202,622,620,220,156,761,352,262,791,682,
325,518,173,660,905,293,832,867,255,531,543,597,337,642,169,497,625,489,358,
195,901,926,638,911,341,632,128,535,309,170,484,095,521,386,723,077,575,530,
807,770,199,716,088,579,937,740,252,473,768,084,598,155,748,682,553,439,976,
327,120,534,953,774,487,081,044,161,898,326,067,810,945,298,880,514,888,476,
701,683,919,147,985,130,432,292,208,479,541,701,673,510,630,792,489,099,079,
809,526,357,963,551,031,717,676,056,193,569,005,340,325,715,306,812,819,787,
229,016,989,620,129,327,345,825,971,235,019,234,652,596,297,323,270,261,519,
978,400,335,643,663,274,177,875,559,299,344,781,060,088,977,759,523,826,403,
269,073,608,021,288,555,817,426,470,883,662,069,496,476,457,247,177,467,144,
021,564,272,350,787,815,631,584,916,545,155,451,571,620,201,668,112,833,022,
583,347,832,046,980,521,588,792,147,219,663,802,260,429,250,217,341,814,983,
919,617,453,536,528,048,914,344,945,986,803,159,097,815,798,788,382,029,140,
720,189,767,386,243,105,275,595,402,313,975,361,444,172,465,364,492,904,388,
815,547,799,951,340,715,882,541,018,811,044,057,017,541,275,495,565,657,314,
432,086,301,657,175,406,372,086,340,935,298,995,260,749,005,979,489,046,973,
739,315,158,894,607,721,293,259,805,272,500,308,190,846,223,131,073,934,034,
270,928,534,036,184,683,770,762,189,503,431,494,539,715,474,711,987,621,880,
728,798,801,189,327,853,877,449,373,618,388,200,112,852,592,695,833,317,692,
550,917,249,565,189,464,480,239,910,042,335,735,296,315,227,107,813,309,592,
402,979,546,423,875,646,520,223,536,054,372,370,590,138,763,677,622,449,067,
217,442,598,455,352,614,581,437,345,127,929,945,084,557,767,909,163,493,273,
148,091,805,350,807,979,626,460,696,896,832,788,860,119,085,215,706,229,245,
994,425,929,661,383,344,154,629,811,715,395,441,760,411,877,514,791,236,745,
103,262,409,268,260,715,636,239,207,916,978,466,873,007,695,205,445,670,678,
570,037,245,153,844,548,512,995,037,651,977,030,968,386,524,185,605,867,583,
523,591,519,815,193,079,125,594,960,117,415,978,529,298,983,064,829,065,567,
338,099,914,586,368,070,100,305,017,899,666,423,991,497,326,394,169,881,671,
451,938,085,702,615,793,184,868,897,718,500,780,436,679,263,458,240,187,340,
391,592,200,704,087,779,603,606,651,381,746,669,921,990,244,179,394,135,584,
887,246,941,676,140,996,272,229,498,772,293,498,252,748,492,410,762,847,906,
001,416,236,261,832,796,205,300,732,721,424,219,627,309,650,361,385,984,218,
595,433,843,885,498,409,691,788,414,459,432,476,727,155,320,146,587,190,161,
951,016,014,956,738,716,149,635,389,288,072,077,418,666,624,288,086,205,092,
794,745,156,707,097,904,245,173,029,004,502,485,770,498,876,933,975,568,369,
647,468,922,379,858,679,632,775,578,476,884,388,489,720,926,003,585,291,501,
883,765,166,059,369,267,822,384,128,795,732,275,682,842,726,765,611,213,743,
045,806,862,686,786,558,300,660,867,847,215,942,614,435,253,066,812,766,394,
765,507,198,326,959,649,948,070,281,788,328,501,656,857,595,489,747,171,726,
661,720,141,936,606,121,366,768,877,389,305,607,728,976,503,656,712,903,228,
738,409,784,217,575,280,511,946,695,254,910,927,912,884,953,011,834,198,768,
903,977,617,933,093,408,081,948,901,055,013,979,166,233,825,458,385,329,236,
784,173,307,481,669,411,569,351,042,841,188,088,685,933,013,385,685,942,526,
967,824,279,030,989,596,341,863,677,734,087,288,174,949,055,430,958,213,779,
592,672,550,453,258,246,457,162,310,241,675,927,266,754,591,296,020,714,060,
256,694,150,912,059,146,627,206,006,498,255,715,784,744,307,142,919,329,930,
459,055,441,809,202,961,798,683,975,611,368,787,120,185,117,960,530,687,824,
365,973,774,451,858,526,589,909,900,525,391,234,539,334,393,468,154,457,520,
750,317,313,498,857,105,497,826,595,130,171,055,895,506,425,094,666,465,323,
620,145,907,795,638,192,560,912,395,654,156,674,999,927,381,178,475,053,676,
765,131,187,813,482,612,473,621,520,919,660,423,632,129,298,924,066,398,663,
521,478,077,223,674,977,353,296,599,526,179,363,100,726,616,240,927,922,293,
306,313,306,199,818,284,482,070,205,383,687,400,919,049,459,288,894,919,246,
880,025,505,784,834,006,471,413,011,939,008,485,226,551,876,402,960,467,836,
719,559,854,958,619,664,712,678,049,528,741,020,619,775,579,101,536,478,546,
656,976,689,598,014,641,569,505,090,020,711,681,512,341,629,362,961,449,340,
300,026,094,089,539,216,441,056,744,020,667,734,602,304,812,990,574,381,262,
703,594,334,612,893,681,920,429,377,694,906,917,891,709,302,208,482,324,742,
325,798,171,888,612,657,137,798,775,962,529,953,965,859,736,378,631,818,654,
430,670,892,716,001,742,939,649,901,689,112,872,871,626,537,577,722,925,451,
599,671,805,322,467,929,169,801,632,566,866,862,894,898,286,065,771,425,986,
482,166,140,674,314,163,547,816,262,793,665,740,076,895,377,137,264,950,844,
225,988,748,768,632,957,881,113,720,517,171,795,151,656,380,592,148,822,778,
023,677,919,521,187,126,043,214,078,470,985,933,723,381,806,377,748,604,953,
771,027,583,936,892,328,076,418,337,122,420,670,528,594,770,976,203,463,557,
457,507,064,202,229,130,971,936,829,067,564,571,180,531,430,648,296,841,965,
598,490,025,750,985,881,162,110,276,806,094,067,273,375,776,270,758,302,769,
459,561,702,017,319,205,833,510,975,336,833,720,817,182,267,892,730,111,278,
627,545,610,809,989,308,103,772,320,208,350,322,538,017,124,288,955,177,291,
632,869,370,260,758,153,602,656,258,662,051,960,245,870,617,004,937,049,643,
020,919,653,291,097,464,308,759,663,969,450,463,496,581,353,714,149,905,214,
726,794,409,244,287,257,295,755,018,775,971,818,998,160,756,818,064,524,816,
154,507,711,576,394,874,826,944,464,378,503,156,146,258,397,841,867,736,976,
990,066,469,710,133,000,024,698,845,206,763,474,979,273,581,808,475,018,662,
238,948,992,251,995,715,558,878,306,190,034,876,739,185,398,196,307,916,668,
432,415,442,627,426,721,446,985,805,954,498,072,253,187,778,265,400,732,521,
083,668,199,785,532,039,726,934,608,926,204,421,575,226,209,259,396,248,868,
081,153,132,435,310,235,208,198,813,785,782,193,844,355,252,464,983,378,956,
460,863,429,955,446,584,928,730,683,166,833,778,500,645,465,150,090,284,717,
355,597,758,190,807,498,224,627,297,957,991,911,357,298,448,519,558,421,780,
330,552,785,166,558,689,948,462,954,445,858,491,914,308,243,646,323,841,485,
341,982,333,529,026,061,804,565,874,442,696,799,024,771,552,369,637,065,724,
997,244,415,504,737,692,514,130,723,141,579,605,060,620,193,669,335,493,850,
129,925,048,244,736,278,439,025,836,519,522,948,411,903,301,278,613,103,405,
190,333,261,225,756,981,960,947,406,151,971,858,896,472,110,256,510,871,011,
079,792,584,358,185,476,756,812,134,251,666,519,174,526,501,407,137,434,039,
031,820,521,090,765,456,593,589,304,547,699,235,386,460,194,629,675,376,468,
192,299,915,757,538,836,938,272,150,903,387,958,958,702,109,101,336,185,513,
923,526,463,521,661,702,072,300,699,236,344,064,317,162,524,907,122,847,176,
029,713,570,593,192,251,941,929,408,344,880,557,068,695,369,873,781,786,510,
758,993,828,764,431,294,594,015,881,795,191,274,393,992,328,819,648,387,893,
548,136,306,690,334,877,016,213,880,013,500,930,512,798,085,723,191,771,186,
261,210,491,618,484,312,502,637,120,870,367,549,225,582,986,733,721,740,481,
898,806,061,534,229,858,934,364,146,677,520,686,560,306,899,697,684,436,114,
505,291,995,046,520,683,386,644,507,339,029,115,800,993,862,521,446,393,725,
171,970,695,201,305,625,306,108,667,110,969,527,753,027,207,880,326,572,238,
963,419,322,393,926,912,480,651,703,773,821,261,610,293,738,524,644,169,505,
005,180,712,726,024,669,250,327,766,462,825,285,353,323,461,674,710,504,773,
511,402,919,650,324,076,505,476,944,178,882,221,558,978,893,127,248,058,346,
395,906,652,412,871,705,673,541,109,687,456,988,102,213,591,791,964,298,288,
625,614,764,708,855,838,568,330,388,071,503,423,158,140,561,749,996,844,695,
917,895,771,414,768,797,832,972,135,629,980,877,321,930,937,916,337,524,955,
669,647,633,828,123,486,314,534,306,881,664,585,478,184,554,396,344,396,472,
664,873,239,258,967,749,636,103,266,637,170,467,652,050,673,258,237,209,547,
955,710,162,481,559,590,987,666,055,320,110,769,560,209,762,476,688,372,987,
335,545,056,740,031,545,819,796,486,597,296,171,835,289,391,532,016,986,450,
916,580,793,092,127,198,649,559,808,191,787,430,884,012,709,270,080,052,461,
689,643,932,505,670,674,979,304,058,289,645,524,678,656,207,395,822,226,291,
315,298,465,419,850,578,223,778,636,395,545,658,720,896,067,685,721,722,652,
413,668,871,584,304,546,536,964,024,192,368,228,567,931,591,537,318,030,066,
286,815,299,804,127,291,686,297,669,573,531,949,774,142,863,113,806,254,865,
681,018,524,135,969,087,582,738,016,215,802,697,017,090,328,881,150,079,242,
199,618,191,213,884,891,380,189,193,708,240,917,371,883,923,020,081,543,010,
443,636,807,829,553,463,249,120,332,942,186,523,503,785,231,101,970,408,902,
922,347,316,497,453,996,665,959,460,430,232,501,131,746,741,048,368,968,034,
765,068,120,353,938,142,047,879,720,750,095,449,427,441,194,935,911,112,794,
862,270,154,351,985,715,424,253,937,402,632,711,901,910,208,600,855,150,830,
875,334,366,427,163,255,074,973,282,733,165,310,902,039,442,520,621,942,351,
699,708,512,435,718,763,563,686,006,785,189,479,854,869,353,709,013,787,783,
610,661,978,184,569,335,744,681,698,651,238,748,452,229,784,857,299,131,907,
574,368,879,188,334,668,580,211,517,004,999,214,918,303,115,319,869,896,654,
878,341,605,236,730,035,711,728,464,162,827,962,565,135,546,672,281,493,516,
263,643,192,084,783,193,293,597,471,679,554,792,825,228,300,944,061,299,828,
911,910,820,581,632,523,805,849,398,422,193,780,967,904,520,381,623,309,938,
912,840,354,879,595,759,707,407,848,669,134,999,226,782,087,833,956,086,478,
593,498,917,621,468,240,059,419,668,336,084,019,027,322,996,569,536,997,861,
612,244,701,312,751,177,198,932,930,037,754,558,930,054,088,024,396,706,384,
266,044,839,248,784,031,203,488,740,645,145,382,106,283,675,589,800,634,326,
955,975,506,246,811,334,179,598,320,180,828,147,027,527,900,544,721,727,409,
425,130,687,921,301,422,915,137,287,884,920,512,312,736,432,146,437,034,382,
022,497,349,574,412,386,878,652,770,417,915,332,234,165,240,645,787,056,998,
872,172,200,360,396,247,356,274,614,577,120,640,567,698,703,763,231,744,220,
010,407,598,580,231,023,074,505,168,253,169,337,866,662,204,270,014,097,997,
178,981,196,958,209,734,415,248,811,886,621,903,178,487,766,008,490,132,530,
287,595,158,172,406,425,897,030,572,816,951,575,165,087,036,949,095,272,143,
950,630,150,158,692,790,363,911,706,169,602,466,282,329,875,753,857,410,012,
117,330,410,322,799,627,554,824,728,688,416,149,399,879,809,869,214,915,726,
216,857,945,425,624,883,714,331,229,878,770,392,671,579,759,466,190,439,052,
553,284,418,745,344,121,641,037,841,809,404,286,866,182,765,746,450,936,058,
269,209,707,455,522,955,402,403,362,550,379,968,206,447,893,972,703,409,222,
797,689,695,412,108,035,862,095,937,090,841,822,583,849,576,723,786,820,117,
853,419,884,062,487,611,647,903,206,894,026,277,124,218,307,450,843,750,950,
489,052,704,038,061,754,967,730,116,087,744,236,414,999,420,687,746,259,572,
104,478,445,688,435,326,116,000,066,940,216,628,611,709,089,424,624,783,301,
377,261,441,462,050,323,855,456,060,938,970,019,918,649,125,481,476,341,784,
793,429,968,944,465,558,451,339,444,412,129,650,944,623,660,017,608,240,662,
490,404,000,330,178,711,723,001,678,227,898,462,726,566,758,098,122,559,513,
223,372,965,157,926,027,019,301,784,267,169,430,204,606,760,401,163,021,208,
942,639,275,582,894,277,157,268,263,558,603,830,548,721,957,213,742,265,918,
420,378,095,384,531,676,184,087,350,088,457,214,502,774,345,116,940,793,066,
263,490,941,860,976,228,091,103,633,914,040,851,048,472,724,336,615,076,924,
732,679,013,230,871,502,449,499,199,338,884,536,400,885,057,494,577,414,839,
247,789,810,837,204,387,811,747,608,973,789,436,217,901,794,375,787,663,302,
244,309,783,586,116,755,419,741,093,324,493,357,643,681,839,637,269,240,331,
301,121,689,645,129,832,151,843,644,530,331,216,757,682,196,011,055,231,773,
255,957,349,117,093,689,001,285,953,948,769,081,185,623,590,986,195,749,644,
393,454,022,881,269,544,720,141,024,221,627,304,272,491,348,920,246,824,148,
847,587,063,273,860,861,170,057,442,688,198,010,860,875,067,130,458,213,485,
146,858,583,587,981,802,405,011,139,743,844,289,114,387,315,466,727,280,027,
678,193,444,469,826,063,976,544,809,315,440,474,860,074,205,602,719,301,890,
214,773,930,840,124,572,090,916,384,228,273,258,419,195,200,711,501,523,114,
287,454,611,841,536,861,103,414,681,959,826,962,235,747,511,872,959,419,085,
095,467,093,945,446,997,687,397,892,565,234,778,059,776,139,950,708,343,342,
097,647,903,809,950,848,414,826,767,951,471,707,896,712,061,748,572,048,712,
686,164,494,117,650,219,134,019,143,138,474,443,167,138,259,857,645,905,348,
723,531,023,989,547,509,211,392,531,240,718,520,992,510,078,471,721,299,663,
393,079,706,715,490,497,389,913,912,500,606,636,796,535,803,215,233,964,651,
413,654,544,374,344,343,355,789,110,182,191,633,648,584,066,220,133,486,612,
009,929,612,665,450,626,589,758,221,648,087,476,893,719,114,131,543,868,986,
100,266,974,971,032,431,821,357,928,024,274,266,176,717,726,231,410,443,813,
373,785,796,696,513,915,054,495,312,624,462,516,182,569,740,244,969,981,281,
177,306,507,188,788,643,025,555,644,124,429,628,034,459,062,379,606,451,465,
037,823,609,801,620,133,782,495,828,305,719,972,621,219,441,835,645,120,705,
971,390,286,460,028,504,033,969,587,762,984,940,527,216,313,608,725,730,090,
317,890,875,897,303,816,587,423,173,616,701,009,877,304,681,052,876,797,337,
642,461,083,298,999,837,631,076,443,280,429,893,646,529,486,567,346,549,760,
595,681,388,419,042,960,313,367,115,627,178,821,510,453,946,077,192,777,154,
302,189,682,325,655,409,158,257,318,471,209,938,644,284,946,347,770,720,567,
591,724,992,841,059,606,981,833,563,128,874,851,092,769,272,380,119,235,701,
550,292,917,519,398,324,939,862,745,895,921,554,124,075,591,302,456,766,516,
248,974,713,435,039,463,518,354,605,572,742,132,150,512,721,789,276,766,103,
857,506,447,790,424,026,226,530,876,920,661,210,011,748,768,334,541,530,445,
357,159,583,759,506,803,393,433,085,741,383,735,059,317,178,446,094,455,105,
938,294,851,114,795,580,668,260,862,499,251,131,456,613,854,494,280,502,626,
127,566,534,627,182,979,900,265,634,513,049,560,563,201,064,588,679,418,630,
396,921,203,494,068,617,401,715,428,085,540,833,328,867,923,423,771,426,396,
712,254,771,674,639,582,526,021,195,118,756,468,319,232,934,484,537,698,826,
477,375,013,837,004,951,916,541,797,023,558,784,499,067,178,518,220,121,603,
105,903,440,864,920,302,682,060,382,121,490,773,415,682,264,313,337,028,742,
587,338,454,163,600,839,186,097,729,177,099,620,352,351,132,517,059,512,609,
762,381,562,757,030,035,109,408,630,862,568,634,698,448,591,714,609,203,782,
961,849,651,613,320,936,635,058,887,791,904,349,584,548,855,822,375,856,956,
910,647,757,462,208,259,024,241,266,224,309,591,413,944,867,288,621,059,687,
591,859,431,586,754,613,257,896,423,660,918,936,829,838,652,135,323,309,487,
004,354,865,625,181,991,830,556,867,848,874,686,849,892,659,060,227,144,095,
708,474,004,358,760,421,887,064,286,331,592,105,758,043,221,400,295,530,815,
046,706,333,093,939,856,913,506,817,791,707,108,675,245,591,828,449,540,112,
364,713,199,949,382,683,921,900,473,797,640,802,443,190,939,193,998,082,015,
066,671,754,410,296,362,735,454,468,499,599,075,555,761,079,024,668,027,720,
848,349,723,307,133,398,775,262,846,906,499,707,058,882,140,437,273,289,790,
131,798,167,230,401,536,288,406,935,035,411,020,356,937,631,699,152,868,898,
890,876,262,373,971,627,345,097,154,141,137,159,431,677,708,027,500,886,137,
247,736,739,580,818,912,093,657,312,438,690,328,228,036,537,595,342,319,301,
414,627,455,106,902,741,704,097,242,846,450,584,992,377,167,436,148,796,211,
439,238,496,264,509,173,737,499,341,851,168,780,143,506,413,222,783,144,955,
093,409,476,765,825,084,771,069,194,739,501,185,955,396,420,324,704,077,191,
125,078,551,731,049,909,832,532,426,092,975,468,264,924,528,583,198,285,700,
918,766,868,596,728,452,352,294,116,492,979,613,827,050,184,949,105,191,334,
513,931,280,329,449,448,690,900,137,624,538,150,919,551,644,482,232,636,860,
468,061,020,513,768,810,765,162,837,106,357,821,981,285,500,850,777,077,425,
890,941,548,871,109,968,753,455,298,885,094,240,119,724,784,023,153,948,755,
748,872,610,764,401,127,996,614,230,137,120,430,442,377,441,625,109,877,950,
693,715,866,917,242,267,949,011,599,371,080,795,494,508,792,308,846,796,248,
759,318,760,165,255,667,799,102,702,548,427,682,576,958,638,412,735,933,862,
853,739,814,379,976,026,505,742,281,559,863,634,496,787,187,803,580,823,534,
924,508,397,540,086,612,968,590,542,447,693,623,921,032,760,221,485,006,409,
801,547,582,484,143,180,362,387,927,491,061,644,979,417,463,759,524,308,750,
344,323,497,610,625,664,743,784,234,127,508,945,627,356,589,738,883,988,308,
999,395,218,192,309,167,594,675,287,762,913,615,987,538,454,716,838,239,557,
802,820,122,164,450,655,667,392,822,374,638,092,459,162,336,101,235,959,446,
408,147,437,893,545,780,140,677,919,177,903,032,157,531,013,842,512,198,886,
089,390,572,636,765,717,468,277,995,476,826,651,343,754,668,157,638,033,679,
076,668,916,758,735,906,237,235,309,502,451,463,704,179,268,995,558,141,640,
791,812,608,330,310,483,831,357,707,953,247,391,029,224,808,399,247,615,184,
493,808,806,267,023,928,094,141,553,275,545,030,790,642,906,568,909,534,936,
565,820,304,840,117,246,964,257,875,439,208,117,773,173,141,299,448,910,599,
753,193,536,581,441,411,575,574,353,583,588,728,353,142,818,249,621,281,476,
591,327,223,315,632,880,719,313,877,264,754,560,019,740,366,150,522,850,107,
650,373,874,215,972,603,120,287,215,597,936,967,077,329,280,707,777,952,881,
097,276,463,353,210,339,637,902,872,881,741,214,601,474,312,599,919,918,321,
910,394,292,223,662,818,500,620,118,063,624,689,190,072,943,475,492,270,475,
774,237,029,900,079,471,198,280,923,750,832,107,041,459,803,950,185,141,256,
576,551,627,582,962,467,612,238,738,511,588,055,956,022,754,311,822,362,182,
240,929,752,961,113,167,395,380,524,649,589,342,544,706,483,466,527,329,784,
828,995,542,318,729,602,769,529,607,367,228,888,167,991,799,441,879,140,819,
400,185,395,862,482,446,786,542,930,317,659,687,794,443,593,969,284,197,893,
616,295,958,175,825,201,645,115,214,379,837,654,266,038,947,085,465,537,824,
204,651,930,069,937,845,814,358,822,075,564,983,833,015,372,680,462,635,060,
512,314,399,433,444,460,502,376,633,713,206,384,220,021,412,763,552,751,736,
422,693,991,150,898,263,929,606,183,708,651,877,150,508,208,030,446,909,659,
967,245,533,886,126,863,350,264,905,229,182,373,097,530,572,636,841,367,637,
540,667,476,519,818,677,653,244,418,358,252,747,379,064,478,217,040,586,016,
960,520,658,543,128,933,372,995,431,382,894,954,538,367,490,954,116,500,861,
850,041,471,299,743,582,639,655,616,582,569,283,887,884,962,073,030,482,075,
936,953,401,070,480,544,709,973,910,494,808,358,440,195,696,858,930,481,055,
325,070,129,411,102,991,100,413,826,283,821,622,485,371,925,725,599,733,045,
770,737,153,369,974,454,846,250,063,819,832,324,018,177,768,831,047,819,246,
797,086,709,715,103,361,176,506,429,853,357,299,239,467,522,655,705,651,855,
751,956,217,502,722,626,678,868,595,557,434,608,655,926,037,781,440,473,754,
602,903,564,573,720,771,889,403,970,874,391,204,151,815,298,875,536,574,716,
282,427,483,509,445,142,814,200,151,587,196,352,846,101,192,956,183,599,694,
884,334,067,687,612,862,898,290,249,383,637,952,016,713,883,692,669,816,084,
132,827,307,671,310,368,879,622,486,160,640,949,870,224,410,439,453,452,382,
550,948,327,648,201,077,958,249,772,591,775,350,628,052,478,445,741,723,797,
851,954,927,257,226,273,214,274,724,403,504,304,266,017,160,406,995,766,554,
798,039,973,717,926,044,852,344,242,508,689,359,971,628,108,225,502,449,103,
068,572,605,772,698,511,240,558,809,554,628,002,706,165,835,224,112,951,421,
420,183,670,480,665,189,736,883,734,142,590,669,237,713,852,564,533,677,487,
725,121,340,445,363,628,505,194,953,622,815,840,317,979,089,114,816,426,952,
462,141,990,667,651,225,951,646,332,586,786,720,086,769,597,854,770,076,540,
382,330,135,099,382,769,379,340,464,847,437,833,006,269,366,882,496,957,545,
637,345,917,133,637,725,347,865,229,276,051,945,975,606,965,191,640,437,874,
247,023,856,865,923,493,203,202,983,153,315,992,421,990,604,488,770,580,621,
866,807,581,191,130,316,662,305,524,463,897,447,069,669,280,449,868,618,815,
312,225,276,620,790,568,275,442,251,171,229,299,039,065,120,628,542,066,312,
658,968,516,342,491,096,125,142,926,338,394,785,044,953,007,740,874,902,119,
948,015,969,288,541,613,037,365,538,748,084,610,221,782,890,633,289,960,972,
521,061,224,082,068,192,358,831,595,275,367,351,068,604,814,555,871,427,653,
642,505,747,445,120,157,076,269,822,686,158,671,213,101,181,882,336,926,440,
184,961,959,102,926,716,366,302,522,521,041,303,627,748,775,958,364,491,499,
757,869,389,141,016,178,893,260,706,753,649,091,780,859,928,347,171,406,704,
100,509,909,540,304,877,683,768,197,031,480,998,616,111,684,716,003,145,421,
224,975,776,676,062,977,945,829,268,896,231,795,783,998,406,964,479,419,683,
028,371,298,178,794,055,047,454,015,924,749,871,556,879,989,235,170,749,197,
966,198,816,856,648,622,053,498,402,677,512,255,156,268,981,808,997,082,928,
466,122,301,966,515,683,687,651,666,900,649,578,318,264,761,679,859,104,492,
336,101,427,312,160,121,005,767,997,212,472,488,610,125,754,112,888,069,966,
271,756,326,363,890,684,806,064,735,727,322,776,597,905,510,654,839,995,074,
486,568,789,388,322,161,234,933,528,643,153,156,486,874,825,347,446,561,901,
801,573,883,088,972,413,764,042,423,619,166,549,418,667,750,103,533,116,096,
616,392,578,729,464,435,287,614,991,210,327,441,878,048,686,016,281,938,601,
068,965,381,056,659,854,407,884,399,126,773,441,500,834,012,866,104,158,917,
393,675,090,023,994,638,480,097,684,846,996,094,742,238,674,326,205,086,172,
948,968,496,045,890,420,681,123,490,586,349,856,706,569,410,321,238,962,840,
900,101,089,650,198,734,274,895,214,979,248,647,742,032,743,132,619,270,524,
485,157,600,323,142,016,410,350,876,628,496,122,404,791,355,955,999,360,684,
691,026,916,213,083,515,191,138,441,555,460,708,854,983,191,238,047,787,197,
882,373,886,010,886,523,050,864,831,476,132,858,004,349,802,151,058,356,438,
279,906,009,775,933,243,650,913,794,313,756,567,100,531,759,557,964,969,214,
110,360,017,196,060,493,783,858,077,143,430,475,788,843,627,152,942,649,593,
603,351,741,820,141,436,302,343,349,899,987,816,268,189,077,914,794,087,703,
636,243,199,927,862,827,409,318,774,749,173,336,997,580,245,158,347,383,358,
832,705,722,177,658,855,675,488,819,390,400,079,909,695,503,702,089,295,486,
294,858,318,655,997,143,877,175,164,089,056,831,971,100,093,769,025,173,331,
155,978,653,431,056,202,496,621,864,070,676,168,293,993,275,799,773,880,857,
809,300,193,932,764,408,186,601,919,392,078,745,538,233,132,915,754,216,643,
258,433,827,732,832,211,727,770,094,981,592,360,371,324,896,125,154,345,133,
826,985,698,020,035,905,888,000,747,905,015,523,659,149,163,156,015,856,180,
348,491,924,970,188,973,977,887,644,368,951,239,411,163,388,801,289,265,853,
406,886,452,308,107,928,801,796,580,120,041,987,372,420,441,767,719,525,019,
194,296,595,879,244,151,386,973,709,415,901,927,459,963,660,707,754,960,553,
524,532,720,703,474,435,722,093,808,699,503,055,258,956,825,402,730,871,069,
988,238,366,469,207,567,785,951,811,551,543,812,523,227,622,736,262,283,544,
252,928,109,461,244,595,590,673,239,006,983,227,938,662,351,836,447,452,436,
830,312,329,179,502,601,985,860,146,579,068,520,721,465,345,915,568,526,245,
453,400,065,441,320,147,382,415,379,910,453,589,589,704,387,247,077,624,257,
908,360,392,180,877,783,949,253,484,363,669,995,313,291,288,106,468,333,085,
185,038,058,640,747,187,437,769,628,377,046,201,097,574,718,060,610,387,930,
813,174,335,258,288,398,616,240,229,782,216,427,797,493,061,426,590,217,397,
575,527,473,716,374,027,862,157,920,034,227,410,444,233,057,832,923,456,533,
350,468,933,435,404,452,592,179,212,770,803,738,743,320,231,065,497,990,614,
001,759,085,184,103,521,339,628,617,437,862,874,755,168,063,158,888,917,365,
348,821,318,813,628,002,863,601,906,748,501,465,676,243,356,636,012,923,585,
369,222,175,942,236,972,129,358,249,530,921,622,554,540,342,505,826,078,647,
631,742,674,749,777,244,197,104,849,195,459,985,266,589,923,056,876,367,856,
262,311,550,814,932,260,084,154,427,616,561,883,161,892,479,646,690,545,516,
409,552,787,855,130,250,445,203,443,720,047,635,953,050,211,580,850,719,787,
677,767,715,011,449,313,386,003,161,835,533,557,587,411,130,665,383,218,999,
833,920,590,024,018,205,473,144,750,389,547,570,989,495,872,317,878,243,632,
698,101,809,959,701,493,833,426,631,613,771,126,187,779,575,975,358,749,553,
238,586,075,854,165,022,899,883,141,858,100,905,046,497,667,906,483,721,665,
344,879,611,410,492,334,275,687,297,322,526,816,250,902,279,383,263,022,834,
880,950,444,020,932,487,702,611,222,539,657,282,596,781,106,114,021,176,930,
539,063,907,743,601,206,708,005,608,450,286,419,207,269,666,027,600,989,782,
290,896,173,807,471,919,552,825,678,937,175,347,115,312,390,194,154,301,552,
550,749,742,497,810,739,037,128,192,298,255,975,820,967,839,939,458,750,421,
457,024,629,321,562,375,610,195,954,217,386,622,467,686,186,141,105,903,931,
809,916,528,857,378,278,024,411,924,379,289,335,081,096,243,398,001,364,067,
262,448,538,503,320,660,377,927,895,140,260,644,087,157,434,136,646,105,999,
984,556,140,624,192,387,234,406,989,226,176,475,246,068,405,484,050,332,085,
348,709,936,417,549,116,226,640,320,596,386,078,530,347,290,809,089,888,125,
101,697,023,851,616,814,578,668,625,463,537,705,574,547,748,714,005,526,471,
626,702,384,553,230,813,042,021,218,217,726,507,080,489,399,910,777,745,114,
360,987,973,083,837,554,693,951,562,944,350,216,928,433,477,212,862,358,395,
750,084,544,587,924,027,023,701,652,589,947,836,550,521,789,046,828,184,189,
353,631,572,997,481,991,236,066,350,234,750,939,773,323,748,637,630,687,389,
630,570,451,926,971,228,977,696,823,449,349,210,075,891,562,288,127,391,984,
054,537,838,302,187,594,922,035,384,538,045,064,499,331,845,015,838,410,377,
919,397,956,613,680,617,566,072,536,881,075,518,292,352,745,741,151,515,705,
458,191,225,720,218,233,379,024,615,018,736,926,063,459,552,472,659,695,886,
813,198,272,619,099,694,190,304,162,466,126,687,456,153,463,717,750,928,642,
676,456,251,840,177,983,528,846,465,583,124,746,697,156,916,831,827,956,829,
689,084,593,886,569,158,621,941,555,548,470,121,322,512,274,897,669,933,564,
627,569,034,743,080,529,345,033,386,949,734,364,918,594,507,008,171,005,289,
088,106,394,080,515,381,652,147,608,125,233,294,807,139,761,171,008,665,069,
303,627,222,526,256,348,503,544,252,621,181,497,589,624,473,230,115,990,331,
457,410,007,116,674,503,698,820,883,387,686,084,696,871,611,079,359,765,046,
650,076,447,135,328,798,764,732,649,924,683,544,633,025,859,984,401,670,640,
389,519,338,917,240,660,196,324,623,457,200,686,861,702,089,796,805,391,650,
460,173,751,795,200,965,385,096,142,228,865,816,277,128,975,569,108,954,840,
784,608,598,588,611,518,871,244,222,517,231,651,345,411,400,980,709,095,213,
181,537,197,034,912,789,631,686,418,916,519,661,625,479,871,494,826,911,542,
534,104,040,748,164,309,039,595,065,248,669,634,995,137,155,591,138,513,555,
795,811,052,901,981,261,866,427,306,593,015,568,622,606,548,674,574,779,258,
933,646,427,122,056,904,134,574,842,669,700,202,846,697,528,282,426,425,139,
850,509,705,441,642,184,219,463,377,101,787,902,408,466,182,673,032,159,695,
519,975,210,795,380,912,949,892,071,941,279,242,778,229,558,779,966,811,240,
296,416,464,925,698,880,979,224,585,315,529,028,206,046,266,699,034,145,770,
820,362,939,429,534,311,277,376,416,342,194,026,403,320,928,371,683,710,849,
213,537,185,456,652,247,317,962,684,448,745,851,750,888,225,588,618,575,947,
033,173,182,030,999,543,765,114,342,356,167,845,582,204,482,808,111,837,718,
125,438,573,470,921,091,969,426,031,915,072,365,887,256,870,665,242,359,543,
405,108,991,299,242,550,569,232,545,437,520,697,818,334,423,263,537,469,036,
681,206,862,760,793,551,278,146,350,626,070,431,872,654,993,113,734,471,229,
770,735,897,630,761,556,825,056,959,206,033,986,232,610,017,208,998,731,918,
113,038,949,038,628,993,634,711,266,249,826,077,624,987,248,172,522,185,922,
007,217,522,548,305,378,677,813,998,113,613,411,379,059,495,725,491,759,429,
638,884,863,841,175,214,581,264,128,849,855,368,019,339,141,319,543,905,215,
624,434,342,404,783,361,185,003,547,582,904,533,564,006,927,881,394,281,319,
304,687,295,112,675,727,692,779,243,277,946,992,164,878,083,477,906,797,883,
273,055,798,238,602,141,083,696,800,323,299,267,500,140,700,420,436,894,280,
904,111,847,677,002,567,738,211,358,205,188,051,195,284,573,025,337,353,897,
011,819,590,774,596,884,340,656,590,680,285,387,001,284,884,873,448,605,554,
307,267,061,840,271,272,795,968,885,641,798,834,088,399,613,915,564,571,406,
444,136,748,052,117,693,886,602,076,524,666,250,567,666,301,332,639,676,709,
813,584,899,063,789,440,339,481,636,112,874,464,106,839,350,684,638,586,305,
715,498,964,708,532,618,888,733,413,653,279,304,912,482,119,808,993,625,803,
854,053,419,311,351,419,766,897,298,444,361,824,954,410,930,540,336,348,379,
928,792,941,908,128,942,322,903,043,098,692,682,882,986,864,394,039,132,934,
968,912,837,849,444,499,700,403,444,934,876,305,954,999,979,047,462,039,695,
999,870,987,310,443,990,251,873,541,338,038,042,371,758,867,992,703,924,263,
157,635,217,670,021,707,776,959,356,966,877,752,371,850,726,848,071,895,696,
021,224,747,417,715,730,051,091,275,172,079,658,262,488,724,490,769,607,789,
035,694,063,646,800,023,147,375,908,904,888,079,215,510,713,284,238,499,459,
268,427,029,560,840,309,581,100,747,558,815,777,289,130,514,599,827,555,355,
090,653,432,313,409,002,012,056,571,726,270,884,666,011,418,797,986,063,117,
675,546,745,529,251,358,903,589,097,592,850,107,481,366,009,014,400,237,409,
180,288,910,289,605,717,017,001,391,413,247,576,049,193,369,700,346,390,514,
547,004,230,960,301,270,079,796,221,446,650,089,679,598,724,008,007,865,289,
504,811,676,962,312,850,712,283,845,374,283,881,007,355,781,568,951,844,014,
510,933,670,776,324,040,063,046,040,080,236,422,651,352,490,122,074,099,711,
912,572,690,810,301,890,317,213,382,224,969,659,910,758,937,273,901,737,704,
504,550,621,723,726,807,242,083,916,903,616,228,560,201,730,026,035,478,093,
564,811,259,030,004,183,922,740,958,815,808,514,631,757,542,156,878,530,754,
845,621,238,411,599,299,176,361,958,874,873,892,050,609,128,892,077,974,940,
839,957,885,442,534,582,921,492,831,391,040,296,055,214,162,854,068,204,729,
614,135,908,133,551,413,985,516,887,148,012,028,684,820,045,930,507,302,378,
231,066,555,578,239,338,134,419,450,862,863,302,894,929,248,861,883,079,328,
481,887,274,507,584,199,911,283,552,738,695,201,692,021,332,073,203,930,134,
565,022,151,289,797,672,543,764,257,261,258,231,591,238,157,765,332,360,018,
791,533,262,245,367,097,996,195,951,903,839,865,921,504,689,656,508,589,940,
770,975,031,172,251,018,692,704,470,259,857,783,665,926,934,562,175,415,820,
782,873,561,294,685,169,406,834,347,477,260,924,059,122,001,650,019,579,937,
923,491,518,993,090,506,233,833,713,259,946,996,323,660,493,315,494,190,461,
195,734,415,030,158,376,151,604,626,082,053,303,065,451,491,984,917,073,862,
604,386,748,426,043,837,739,808,581,624,086,868,330,029,507,351,595,318,380,
760,025,697,530,191,946,894,181,379,030,884,609,492,629,758,531,185,399,350,
245,012,549,366,564,910,512,455,218,225,284,205,018,552,965,735,810,162,412,
287,208,388,145,318,197,056,270,416,278,951,796,880,278,723,944,517,541,780,
159,636,868,733,186,366,978,451,972,500,510,335,451,109,328,233,082,201,883,
405,514,576,029,108,249,601,646,424,943,812,968,280,664,052,149,655,932,603,
104,227,528,679,786,821,750,486,565,275,682,136,972,875,267,463,730,132,320,
412,729,501,107,564,607,072,841,434,889,854,487,866,834,472,693,562,668,129,
978,309,816,825,320,709,658,756,326,340,843,489,814,640,550,296,328,308,178,
128,727,329,075,756,243,953,326,673,518,610,925,674,263,334,064,309,285,066,
627,430,351,370,263,224,556,546,511,479,065,728,317,477,901,356,742,689,109,
963,438,653,939,261,891,327,248,501,288,242,089,470,863,609,936,866,550,303,
431,372,389,700,872,669,682,422,051,700,188,746,941,259,553,119,463,921,210,
567,752,355,734,491,294,215,475,622,211,422,821,544,950,782,680,005,943,525,
192,022,099,735,205,565,871,849,246,238,177,845,447,498,133,743,461,782,732,
601,213,715,350,801,204,043,503,539,843,180,744,757,806,375,043,157,521,704,
948,961,890,027,516,701,715,332,593,773,784,809,421,727,212,585,058,071,714,
099,793,617,435,739,490,148,894,454,992,134,382,398,386,569,835,468,000,880,
765,551,997,076,864,824,508,608,128,275,034,575,551,123,904,958,081,124,985,
176,884,975,452,845,582,864,898,498,097,610,976,626,520,977,703,734,350,801,
548,809,974,031,066,958,370,642,931,887,610,822,148,443,585,669,893,326,393,
014,004,959,918,495,600,419,493,429,254,575,377,419,966,499,010,148,383,191,
624,471,930,729,038,037,675,615,147,142,057,339,734,755,079,740,516,506,375,
559,209,342,154,251,564,587,910,699,156,130,534,899,425,739,564,698,724,312,
821,538,040,307,672,673,260,937,370,225,651,552,459,200,171,460,103,409,868,
996,473,386,857,571,793,113,307,878,817,667,730,523,476,603,776,779,758,309,
532,406,945,321,736,128,685,279,349,033,594,230,210,233,496,929,866,523,925,
458,371,363,873,909,987,582,902,024,772,378,040,692,684,715,970,793,510,108,
005,387,620,092,320,972,253,366,079,428,636,492,720,956,181,343,900,863,612,
901,836,545,431,100,935,041,210,722,373,380,251,635,349,894,893,061,167,489,
534,738,072,481,346,048,669,519,791,997,440,473,538,879,500,783,028,824,989,
337,064,023,491,419,659,774,892,916,346,063,879,532,042,450,451,457,350,001,
674,850,133,192,268,247,303,454,747,664,155,830,795,881,844,884,751,104,119,
575,676,181,150,689,939,635,168,319,696,836,980,463,166,367,462,848,996,939,
670,526,680,809,048,480,083,768,303,763,678,643,815,998,399,039,003,202,733,
177,078,657,060,198,686,070,494,907,643,473,040,531,500,604,102,270,181,908,
269,623,473,284,143,165,581,945,802,373,265,533,798,322,760,751,937,207,011,
721,336,340,241,761,688,483,947,794,607,900,475,852,955,101,949,739,105,671,
080,481,728,658,041,580,765,457,151,919,264,664,728,073,734,461,153,163,928,
253,373,326,824,435,274,413,778,246,586,988,994,138,517,885,181,279,626,697,
509,660,426,698,752,324,103,222,106,125,241,301,503,703,144,323,778,796,777,
567,266,420,433,564,635,324,359,693,628,687,453,025,445,915,069,606,242,298,
107,936,810,358,560,680,195,463,457,505,272,153,915,892,667,615,423,031,438,
545,611,500,040,886,634,806,132,965,143,965,441,934,744,386,552,269,335,411,
294,371,388,748,472,660,467,357,010,690,628,444,705,324,015,649,602,145,512,
566,068,595,634,814,339,587,307,792,324,430,221,294,193,269,812,598,375,796,
998,071,274,149,156,061,197,973,298,526,868,820,080,305,968,896,422,564,927,
931,925,655,789,233,924,197,786,883,522,094,344,231,139,320,765,966,353,281,
563,359,635,276,543,012,488,505,392,331,711,645,051,683,326,146,359,873,084,
215,772,444,693,833,601,492,606,781,818,181,308,444,232,550,278,110,128,440,
665,557,295,695,917,026,709,888,587,247,592,722,530,547,014,502,023,369,382,
332,985,830,118,359,591,150,700,297,800,118,501,764,152,881,563,122,430,458,
528,985,801,323,112,844,347,911,077,599,427,106,454,071,063,343,967,456,530,
753,013,745,878,895,986,460,600,659,468,516,330,285,173,788,676,066,925,658,
706,348,252,051,691,177,343,124,279,480,702,660,640,469,836,836,397,269,807,
773,622,393,036,804,167,201,378,407,793,273,718,560,612,171,525,482,558,075,
135,692,423,612,766,265,302,362,192,644,371,319,431,447,641,594,457,290,833,
883,869,244,459,670,889,118,003,477,130,112,045,444,562,506,079,553,466,681,
981,375,476,535,998,590,247,997,322,463,659,741,110,645,280,042,911,099,466,
587,054,256,331,682,908,593,082,756,398,727,971,619,730,485,053,435,298,975,
687,886,449,080,147,420,310,604,698,018,023,383,082,007,541,089,469,533,518,
582,185,458,772,210,142,305,997,899,738,960,657,739,634,734,912,786,779,221,
558,330,255,922,828,290,156,934,692,866,041,856,540,996,305,607,714,010,757,
730,714,259,344,419,540,009,712,566,412,300,979,306,365,681,188,022,438,853,
967,204,791,316,484,839,472,869,534,880,596,648,297,650,023,624,366,089,543,
456,491,392,971,370,390,118,710,687,446,922,029,005,809,864,321,093,744,696,
797,750,241,439,068,831,226,905,844,066,097,777,995,123,122,319,793,702,187,
791,669,322,048,007,361,930,784,335,561,747,446,277,919,194,322,288,934,057,
071,785,345,059,720,726,305,792,208,259,184,705,638,615,474,737,273,929,554,
865,900,136,291,128,659,702,305,471,451,819,772,409,127,306,966,526,337,602,
089,779,948,696,819,300,343,091,530,932,683,211,197,968,934,290,029,451,537,
216,792,219,589,756,881,610,143,807,496,860,489,158,496,576,056,370,199,066,
179,687,687,617,667,969,096,982,152,336,989,283,796,331,403,956,728,198,428,
975,104,273,703,995,350,869,420,371,296,806,674,241,619,098,884,941,711,855,
296,170,029,416,549,929,751,060,134,742,213,386,536,715,934,477,317,321,609,
096,293,347,788,569,459,541,464,404,551,618,635,241,921,056,584,448,324,576,
178,233,251,317,837,453,953,156,893,178,920,825,640,801,422,507,065,114,041,
258,099,563,250,374,546,572,156,967,865,052,427,870,493,667,347,785,621,407,
417,407,800,812,295,289,725,510,502,291,617,414,570,043,368,210,727,125,111,
570,203,796,037,046,392,433,730,174,913,371,646,772,013,306,182,190,774,663,
670,584,238,520,871,450,031,146,463,622,708,452,688,402,847,413,467,468,241,
225,311,582,441,670,609,259,715,529,735,104,760,587,439,329,437,542,292,073,
812,000,177,330,263,451,263,144,192,275,380,184,971,669,572,963,228,065,356,
172,615,546,650,968,446,616,607,447,672,393,002,633,024,843,426,972,303,918,
020,113,337,525,317,570,439,905,000,158,367,394,790,158,622,530,646,687,947,
461,249,222,400,137,152,982,595,269,344,032,229,048,103,947,410,321,177,058,
871,510,244,064,347,586,746,868,128,173,736,831,132,330,969,658,866,398,159,
155,141,497,724,200,349,455,300,382,209,305,058,658,893,514,373,327,360,511,
969,802,795,032,756,735,670,555,204,695,940,569,948,357,783,100,315,634,519,
540,374,789,341,024,808,681,122,600,284,720,664,506,271,318,456,590,455,850,
472,774,982,461,958,816,429,932,496,627,088,069,065,965,259,936,630,643,390,
425,640,252,044,810,854,068,901,813,735,348,042,405,426,574,174,516,536,640,
935,334,085,452,461,895,897,813,271,559,541,797,395,065,785,726,393,117,632,
910,205,507,866,025,433,096,777,528,777,193,586,653,570,294,877,523,581,493,
906,344,123,652,914,394,225,152,911,623,228,441,128,682,888,048,552,508,999,
011,028,982,443,979,009,186,132,421,743,893,471,004,408,434,561,187,590,078,
880,913,689,096,924,886,877,466,310,369,627,216,785,218,052,197,865,424,104,
621,509,948,894,766,504,394,545,409,411,939,969,929,509,466,832,174,448,501,
011,699,840,724,725,927,353,160,477,556,208,509,736,263,927,414,863,671,794,
110,243,947,369,599,372,196,545,688,101,856,675,367,566,956,740,923,489,508,
961,787,113,823,088,892,545,227,228,426,767,693,724,347,419,003,575,262,811,
738,790,555,963,941,578,037,035,562,672,966,808,229,390,416,224,863,135,437,
431,954,516,209,360,981,556,394,583,716,453,100,051,281,040,422,178,894,936,
477,579,465,942,851,888,047,089,277,787,531,568,771,770,143,338,490,682,280,
610,120,464,303,681,459,107,959,533,735,759,614,071,415,511,006,064,356,939,
559,447,129,323,477,106,142,572,814,725,540,746,343,945,324,201,881,511,264,
440,113,002,252,906,319,445,645,563,323,308,158,687,182,508,135,700,841,339,
291,407,393,491,983,774,466,261,679,543,957,700,965,135,199,525,358,271,874,
863,898,185,350,993,081,182,716,061,227,639,042,563,051,212,116,978,680,920,
702,981,682,269,828,317,081,452,914,517,055,001,597,690,397,067,484,356,842,
644,807,732,814,991,984,162,011,191,566,395,180,930,893,941,375,830,875,064,
843,195,500,900,770,169,096,543,349,610,118,788,699,793,219,687,637,156,298,
808,491,687,420,593,594,390,102,741,619,845,514,354,259,151,263,918,329,222,
670,964,209,524,821,747,117,708,282,527,536,872,241,844,149,971,140,877,866,
856,770,768,746,894,594,703,396,834,594,086,034,626,669,091,614,394,951,371,
235,773,195,464,119,642,312,122,238,428,300,391,830,183,813,016,952,408,006,
558,908,888,836,701,490,830,393,172,620,308,412,089,912,821,574,352,601,832,
259,140,602,756,544,145,988,780,825,101,629,616,997,783,996,607,796,663,227,
059,251,289,932,091,294,572,377,501,596,035,637,288,689,391,773,075,340,398,
114,890,691,912,828,647,110,322,137,467,182,062,512,079,950,362,005,056,298,
019,803,815,034,558,863,118,095,775,610,438,937,442,038,258,761,983,197,283,
975,185,517,894,228,473,790,858,073,782,238,553,396,668,144,724,383,498,192,
939,051,905,961,272,810,427,644,886,891,736,709,742,351,845,941,463,963,560,
345,330,649,753,147,729,983,333,294,021,573,279,324,675,685,210,934,624,838,
214,287,386,304,265,294,466,742,741,115,637,653,514,666,080,809,671,747,273,
787,031,807,080,250,950,125,427,306,295,061,086,367,778,784,978,898,775,985,
528,041,784,539,742,529,482,164,338,259,137,928,552,472,844,770,201,839,753,
664,404,270,506,982,295,776,684,139,951,929,043,611,796,406,729,075,755,447,
867,746,213,554,605,073,986,505,748,525,999,150,619,903,296,148,653,214,533,
844,980,633,458,133,344,529,892,011,932,030,595,489,994,020,112,488,072,497,
749,235,530,307,014,009,987,551,386,500,540,128,071,708,478,744,296,034,377,
876,626,569,158,834,264,427,955,509,042,527,568,268,414,934,970,753,187,072,
954,976,934,617,488,234,289,565,781,673,133,383,545,014,597,751,388,033,043,
135,616,849,062,906,562,410,983,858,771,289,444,562,791,298,058,990,780,006,
029,500,512,494,760,387,959,463,671,079,800,364,206,207,306,666,223,244,899,
799,685,309,180,824,905,339,011,048,840,032,405,639,364,132,956,126,782,908,
494,818,399,313,076,620,898,612,788,771,125,177,589,249,723,863,957,376,498,
065,482,168,012,905,464,125,363,959,323,917,282,322,614,738,145,365,160,807,
388,528,522,028,695,866,630,665,536,394,209,882,802,022,435,808,160,223,645,
188,206,307,855,084,791,824,258,732,326,931,056,464,116,477,514,160,142,586,
254,803,400,573,902,751,280,452,951,847,556,153,813,356,298,067,924,634,256,
899,508,256,488,507,789,178,765,063,456,153,100,177,426,902,478,929,356,658,
943,292,778,982,573,290,426,842,416,003,193,190,142,389,146,401,642,059,159,
122,903,015,773,150,748,716,585,442,388,635,101,478,815,946,202,474,131,401,
195,390,926,303,598,631,321,664,627,829,455,433,392,579,622,691,128,234,919,
125,041,917,394,705,723,272,199,655,146,722,502,147,703,948,955,732,577,969,
460,641,616,283,116,590,301,964,877,074,638,385,585,054,790,995,823,714,696,
068,128,315,982,762,020,736,771,560,233,837,257,339,425,195,687,691,581,699,
030,258,565,583,445,197,333,789,394,427,791,601,811,401,125,127,612,745,812,
240,682,761,371,456,409,230,485,981,749,950,958,449,195,404,803,575,498,592,
068,200,025,087,310,802,542,846,698,107,229,512,811,955,610,197,111,680,998,
795,673,087,187,269,815,176,886,951,714,490,396,417,053,658,335,089,933,064,
546,709,412,504,741,247,235,680,259,914,495,018,550,473,636,952,792,883,805,
810,397,707,057,723,783,235,486,636,822,470,065,229,168,318,454,753,004,865,
978,318,083,979,281,639,405,302,429,390,687,190,782,580,594,518,892,578,872,
358,278,387,388,612,481,671,392,564,875,494,555,829,693,077,517,979,291,573,
027,349,226,171,877,567,822,897,824,935,363,496,512,925,392,411,514,190,814,
094,910,407,413,527,962,384,119,230,389,291,141,166,336,591,126,907,577,866,
281,776,898,327,365,314,740,467,473,347,395,918,759,630,543,362,210,832,752,
569,303,035,304,168,756,777,584,811,343,228,978,921,231,061,784,975,830,746,
707,139,446,071,650,442,868,990,134,584,174,397,551,256,590,001,624,664,294,
207,641,590,764,312,570,145,830,497,083,717,892,589,050,876,132,667,276,883,
171,445,037,178,281,663,640,840,613,960,965,501,703,429,202,219,153,267,879,
637,380,535,851,977,115,788,749,244,469,310,238,195,699,442,436,335,848,039,
974,847,327,217,438,876,319,127,282,089,298,755,815,469,097,231,965,599,698,
827,952,991,490,124,355,066,335,647,338,708,682,392,034,494,697,709,095,772,
475,553,590,504,686,930,382,020,542,823,843,277,295,886,799,565,725,967,774,
264,583,221,165,813,699,409,612,945,679,484,177,607,019,258,677,080,380,811,
108,260,643,356,697,244,628,909,806,889,428,559,050,677,381,343,043,772,934,
312,769,670,627,278,417,534,404,627,551,547,472,070,879,005,960,057,796,418,
772,664,351,074,518,581,600,481,736,804,175,515,712,527,434,807,947,736,375,
997,937,341,956,434,558,382,164,396,903,629,321,288,075,006,203,829,862,840,
094,647,765,916,142,178,564,551,492,586,855,301,220,433,442,028,105,671,172,
611,100,950,704,863,588,977,735,410,021,525,606,876,412,756,569,855,294,645,
893,741,920,611,474,712,270,629,270,017,591,447,676,473,818,137,907,172,150,
134,106,889,920,451,064,753,539,641,698,979,210,646,956,656,922,197,578,796,
896,796,788,217,956,251,332,791,023,980,836,404,495,876,582,168,534,251,200,
683,329,208,810,262,180,637,714,019,145,038,584,190,910,488,520,588,949,069,
295,230,348,887,540,376,429,050,221,401,871,042,167,333,785,399,719,668,510,
729,165,218,680,782,607,108,765,751,297,994,445,771,888,407,465,337,564,214,
153,625,544,025,223,709,760,927,544,059,183,867,617,072,433,435,422,248,349,
266,517,327,655,796,655,876,822,663,655,674,050,727,326,546,925,333,527,625,
215,433,497,039,171,083,623,044,972,642,018,364,840,342,475,337,860,204,713,
485,742,936,672,910,857,611,944,342,509,435,556,209,909,437,246,212,401,733,
211,009,078,966,879,206,870,087,598,412,425,672,416,638,727,927,377,331,904,
779,423,157,435,670,802,424,595,276,240,298,872,813,244,364,832,619,272,821,
586,591,206,119,105,179,875,104,816,001,542,647,754,572,942,587,984,169,223,
147,773,587,834,359,223,734,203,509,858,960,785,325,218,302,855,078,099,866,
137,839,918,029,678,611,085,212,607,173,666,507,778,089,920,241,884,950,094,
596,836,020,146,456,206,689,617,286,160,706,606,381,459,901,134,524,523,796,
988,092,935,991,389,424,894,323,947,473,783,991,464,184,665,166,613,711,701,
469,259,426,478,734,846,441,859,940,947,191,783,262,107,223,671,619,831,638,
379,902,797,968,260,019,117,246,047,343,903,848,000,061,049,764,626,627,146,
393,091,071,502,604,268,845,500,872,613,931,212,150,374,400,167,521,960,819,
242,700,984,578,580,695,868,702,204,260,161,617,219,161,168,469,219,247,906,
292,954,630,137,395,844,089,580,967,849,948,044,218,700,279,643,506,587,605,
861,911,864,396,553,175,907,949,779,336,502,024,719,725,222,113,746,669,039,
622,622,729,822,483,601,842,862,746,928,723,839,376,448,482,561,056,926,262,
420,119,106,361,518,815,118,014,247,117,651,367,135,776,104,027,758,707,807,
952,287,575,389,905,232,881,833,455,284,583,579,478,043,062,933,977,793,285,
719,143,971,071,588,778,020,274,787,996,836,811,298,358,505,120,732,359,950,
145,640,007,163,069,427,255,125,851,240,545,485,904,733,777,900,302,506,076,
598,503,993,154,890,623,049,080,150,523,550,930,788,188,094,526,683,351,941,
882,069,558,576,433,226,475,603,071,790,685,776,950,188,634,633,557,270,503,
565,346,394,623,964,906,293,792,081,216,664,091,823,846,702,359,670,705,213,
562,846,858,251,305,058,895,989,199,009,720,823,879,200,494,800,805,809,833,
215,193,246,657,268,776,668,978,742,639,140,278,866,306,018,610,094,192,223,
564,047,448,990,831,528,135,551,556,270,160,605,500,509,517,231,344,723,480,
118,905,183,360,042,010,373,129,035,438,805,474,363,895,573,216,870,263,670,
208,452,753,798,827,504,450,235,205,609,362,440,916,379,735,444,684,579,231,
096,408,967,246,414,764,712,404,569,359,155,151,729,406,370,138,667,657,097,
747,238,706,789,617,890,354,488,808,124,228,932,695,230,364,046,663,070,550,
218,480,000,096,029,365,615,701,042,180,036,443,717,691,844,019,916,319,878,
360,332,126,962,744,996,679,553,006,783,711,582,255,491,694,653,865,721,346,
077,094,972,189,783,603,183,888,493,643,147,238,957,871,086,607,467,774,310,
989,148,978,819,368,185,137,000,623,759,564,427,024,763,724,436,506,607,844,
023,163,482,831,897,062,617,102,470,676,749,858,894,437,901,947,359,039,710,
226,134,798,304,381,633,826,347,638,343,080,900,395,188,850,092,694,558,665,
026,702,938,003,466,404,051,901,063,784,673,144,741,788,670,989,645,577,217,
543,264,351,129,015,782,502,510,140,559,146,868,631,940,995,785,644,186,061,
011,847,250,931,930,637,247,030,825,528,706,354,584,788,175,604,750,003,332,
649,202,803,302,731,871,880,340,994,570,481,080,111,891,294,353,207,551,437,
045,056,682,042,860,832,682,013,022,919,511,210,176,499,717,536,339,234,280,
435,038,117,411,587,735,572,489,878,751,432,515,488,017,981,664,582,265,278,
480,619,376,126,678,640,070,486,969,300,040,315,107,788,253,443,192,668,801,
467,870,204,408,761,521,689,284,529,891,165,523,900,400,806,132,062,254,523,
941,131,628,314,707,700,344,191,576,974,329,498,692,208,112,677,943,626,222,
734,810,821,643,208,064,250,086,553,188,302,370,520,040,545,697,853,693,776,
183,511,786,914,476,764,400,434,566,305,441,652,177,365,467,576,959,754,880,
080,737,415,164,852,330,261,460,571,993,519,415,683,289,086,686,670,824,506,
430,427,791,992,848,529,731,334,586,425,585,433,241,963,584,007,208,660,704,
191,803,213,172,737,900,947,606,418,819,163,733,139,163,656,698,808,640,011,
975,733,829,848,035,857,598,514,304,728,066,997,039,178,196,175,006,198,505,
300,986,913,848,150,753,622,181,698,698,510,771,902,402,504,903,248,436,015,
822,501,405,152,170,675,398,545,501,788,100,297,659,940,936,771,154,579,214,
763,852,885,266,070,637,971,351,209,755,836,173,494,151,100,790,140,422,468,
084,658,269,953,159,392,928,195,558,617,860,657,798,780,956,384,755,887,842,
839,795,638,422,972,175,226,967,275,693,126,467,038,434,805,763,235,598,153,
477,500,009,938,128,643,515,656,705,571,037,199,433,598,570,514,781,211,575,
605,248,266,024,983,188,864,529,054,770,569,035,695,595,708,964,532,159,577,
526,971,646,416,250,114,597,360,361,169,331,386,118,954,343,445,725,897,850,
936,469,325,820,579,430,781,793,995,997,051,857,813,634,771,822,440,294,704,
357,418,743,885,931,680,091,375,652,896,628,686,185,914,889,597,618,754,947,
750,955,298,570,935,637,295,687,353,672,161,007,987,477,894,244,381,007,070,
231,138,617,387,364,622,379,757,738,347,431,631,417,368,753,531,702,467,792,
999,014,517,727,562,074,074,505,960,478,509,180,797,451,989,330,360,162,783,
842,693,365,302,584,503,246,498,737,697,677,524,664,283,377,221,956,436,312,
515,411,896,852,562,601,795,894,080,950,743,330,455,043,775,955,812,630,828,
586,744,692,951,511,743,334,420,834,234,056,169,832,139,974,080,620,370,666,
430,091,395,738,204,913,438,221,644,858,729,425,394,938,622,993,404,783,853,
051,102,167,702,886,658,453,269,954,870,816,913,609,555,835,979,234,516,941,
021,150,787,067,886,939,467,776,776,196,111,731,627,227,871,382,674,450,003,
613,207,537,749,765,013,285,820,427,259,924,007,801,489,493,674,462,700,432,
950,377,307,958,079,798,337,364,419,854,642,713,692,721,442,975,588,111,638,
811,000,464,031,199,274,237,218,394,944,863,314,780,948,922,286,546,961,785,
847,804,120,461,646,200,531,825,288,779,883,786,252,286,102,072,267,195,394,
810,469,838,209,168,780,288,853,172,622,647,931,855,663,031,656,353,783,305,
567,058,203,905,143,866,855,437,194,522,174,860,720,319,401,531,489,082,757,
626,491,891,947,813,222,585,651,024,874,380,383,810,818,117,762,603,560,647,
835,126,505,007,390,485,387,444,811,952,883,898,978,388,457,916,010,999,824,
151,521,507,644,734,794,689,024,160,538,337,422,403,565,566,342,277,030,874,
609,027,808,326,645,339,490,605,361,591,374,993,968,949,052,372,151,477,749,
899,641,148,228,229,598,577,952,423,616,302,307,919,465,833,179,831,111,593,
917,480,842,816,460,198,948,179,480,128,143,779,314,776,873,483,342,115,333,
699,975,047,278,423,507,543,649,285,831,224,378,975,477,787,842,671,674,762,
596,329,513,968,279,705,776,317,928,706,378,094,807,726,940,444,786,255,488,
870,410,502,608,598,950,046,886,359,636,675,235,218,524,504,015,110,380,156,
192,274,643,802,899,294,322,773,933,286,128,587,411,590,535,185,867,268,223,
647,662,606,280,364,482,148,093,064,679,304,914,881,728,217,321,556,486,334,
158,688,196,197,783,052,722,884,035,119,098,093,082,129,460,086,000,953,222,
780,571,609,067,762,538,225,152,669,936,315,026,471,286,055,385,426,848,568,
008,535,294,464,063,085,769,804,269,819,348,115,605,978,139,451,702,523,554,
148,418,334,952,470,535,505,334,285,090,386,899,846,822,880,993,140,369,841,
542,284,798,090,161,809,702,474,011,380,901,075,971,883,899,176,476,982,312,
260,774,442,749,978,290,514,115,397,733,157,334,471,368,689,064,422,265,870,
188,506,483,041,381,663,418,616,546,689,439,291,247,847,425,515,727,593,695,
437,114,068,866,413,690,975,704,752,744,562,552,882,872,786,480,762,415,522,
038,128,854,095,827,532,513,269,094,630,570,590,413,129,294,376,258,274,147,
881,365,077,593,944,638,432,180,392,118,609,729,419,635,917,619,514,247,274,
397,930,163,436,928,053,386,543,667,081,554,962,429,880,011,390,065,605,576,
834,377,166,438,230,451,825,306,116,579,272,701,304,252,788,687,960,953,713,
340,707,791,771,591,954,249,876,139,112,184,768,861,061,235,737,989,454,718,
073,422,748,655,063,156,241,033,600,662,586,697,771,679,815,012,769,458,822,
059,753,683,258,524,569,793,146,946,329,370,854,196,225,359,166,294,532,793,
529,131,420,475,823,636,974,411,338,768,311,210,844,779,338,466,548,964,258,
063,309,976,610,972,600,990,744,599,729,128,827,554,497,029,449,424,535,875,
262,792,793,582,914,159,989,360,863,205,764,141,849,803,305,058,662,367,722,
892,726,389,059,075,954,527,213,703,090,726,663,082,986,249,441,034,060,467,
032,942,878,930,017,181,637,910,183,832,213,340,844,252,792,504,259,336,361,
807,985,246,813,766,819,958,785,015,100,715,025,142,809,652,277,034,746,969,
225,399,357,971,432,929,085,474,671,751,040,242,400,744,273,159,006,562,379,
945,163,155,162,948,340,158,511,046,149,181,857,245,397,671,567,584,735,139,
241,262,155,604,091,677,061,633,649,225,577,058,547,329,947,074,868,397,840,
623,917,590,046,664,216,137,748,261,298,796,939,643,525,814,529,717,839,698,
483,696,579,478,356,491,448,945,596,192,525,998,766,485,581,600,544,056,125,
447,760,001,265,896,262,445,835,505,771,572,769,842,965,904,941,568,852,701,
053,557,949,668,705,898,134,067,034,964,221,151,173,873,093,289,007,637,682,
682,399,508,922,979,076,116,668,579,641,967,460,132,085,278,257,302,520,429,
545,202,784,740,932,545,456,756,694,504,983,422,838,593,255,302,839,380,815,
364,550,243,141,889,240,923,953,214,754,977,790,384,593,572,601,461,466,330,
934,154,564,407,681,352,886,958,747,718,491,650,090,051,049,062,209,990,120,
767,826,987,842,162,607,267,051,634,902,294,515,565,755,540,619,993,069,739,
152,859,884,903,113,838,121,276,763,273,811,903,277,101,188,691,474,739,223,
309,839,084,292,364,294,599,732,994,392,855,118,715,670,757,994,128,917,680,
425,862,986,910,586,598,138,372,012,808,585,826,538,177,240,846,221,789,866,
056,598,732,570,089,201,432,086,164,399,379,336,702,372,289,111,293,247,135,
414,052,212,063,766,666,780,166,567,391,068,179,796,183,122,288,527,366,928,
740,928,414,646,483,290,665,327,284,576,266,015,092,328,838,904,254,757,029,
754,282,249,075,256,945,657,592,878,341,022,517,772,496,897,960,021,287,353,
030,271,261,203,641,652,236,738,066,563,532,193,071,218,715,811,273,077,619,
917,917,943,546,926,161,884,773,288,052,083,502,147,370,050,011,220,558,551,
128,228,709,958,983,975,477,901,912,282,103,226,052,484,723,663,567,982,725,
220,794,696,353,669,138,990,280,013,971,701,328,646,575,005,675,876,291,772,
448,620,912,925,348,176,427,015,563,108,561,944,989,560,832,248,400,100,063,
935,852,724,020,880,183,679,653,270,205,747,067,105,430,688,485,483,507,883,
498,680,969,659,613,765,036,940,258,644,332,566,543,949,143,485,087,549,805,
102,617,141,807,479,083,057,067,299,304,000,625,351,469,321,631,974,499,777,
841,644,458,451,147,742,718,559,836,150,796,108,493,997,908,851,282,549,816,
324,490,075,304,651,161,315,750,345,742,016,168,411,688,112,924,660,851,732,
710,927,487,990,770,007,767,769,727,636,954,637,676,253,200,977,985,145,290,
354,268,977,369,000,075,227,911,693,204,424,358,543,966,288,542,082,379,889,
923,921,744,540,020,989,331,799,589,725,088,046,634,691,575,838,878,478,496,
653,903,414,536,805,082,223,781,999,103,943,305,726,839,160,230,500,141,895,
765,940,391,803,254,371,350,750,362,498,906,400,241,170,004,375,042,430,917,
435,272,510,803,325,982,284,313,505,729,283,200,596,531,938,864,616,755,050,
322,910,985,835,681,459,398,171,322,865,724,432,484,737,760,205,221,644,767,
109,543,927,425,457,259,700,312,537,794,512,842,470,201,724,038,770,155,169,
653,941,448,462,812,692,772,591,638,196,577,717,327,247,552,894,947,677,530,
631,072,237,370,164,808,918,502,396,411,130,942,547,668,346,699,047,364,815,
272,987,908,078,943,211,305,273,534,456,788,345,500,997,186,631,981,110,337,
621,133,617,172,585,851,140,889,202,426,372,840,528,160,449,489,932,528,364,
927,454,011,290,542,705,108,463,976,186,362,978,263,883,228,213,144,215,464,
313,629,412,540,089,674,666,754,294,830,233,564,117,697,728,261,039,676,732,
943,209,552,394,087,650,893,331,071,419,446,613,670,333,217,072,312,493,956,
958,533,502,446,115,877,437,127,446,269,667,032,347,646,556,932,929,717,025,
812,945,411,162,877,972,666,657,552,151,533,483,137,282,048,024,480,351,236,
147,189,569,668,129,902,842,884,751,098,894,825,651,632,953,644,654,013,511,
356,390,189,941,190,347,356,976,505,539,503,955,727,813,156,089,821,221,382,
866,703,860,804,799,920,247,410,763,298,269,390,709,848,294,602,907,450,509,
078,663,267,543,463,682,801,803,592,030,876,289,323,868,412,885,621,274,603,
700,743,295,927,417,755,984,344,399,436,962,254,321,579,546,294,319,308,904,
842,656,809,415,703,094,312,767,166,357,079,253,005,340,915,471,583,809,366,
468,976,186,811,863,643,765,420,840,719,673,548,909,182,878,500,823,509,091,
812,980,382,864,757,093,762,746,995,012,251,112,730,762,107,936,179,106,085,
051,240,624,620,453,868,902,245,978,456,270,901,604,264,221,547,726,573,292,
701,809,079,936,529,181,544,472,396,008,958,326,288,039,196,806,787,097,670,
226,576,385,042,529,788,670,087,325,084,307,420,056,246,650,121,175,876,195,
585,849,028,850,385,650,511,488,397,723,714,975,942,602,137,785,204,276,068,
406,903,475,924,191,337,865,458,244,450,276,407,469,765,500,836,071,256,279,
895,886,701,096,214,944,226,666,938,236,196,818,025,957,740,864,384,377,844,
387,429,235,838,806,865,083,851,706,988,711,958,800,199,669,919,256,649,087,
285,827,154,814,518,823,000,993,490,350,700,059,380,479,915,678,762,579,226,
009,364,194,184,264,838,083,575,654,647,197,155,495,726,652,300,163,242,006,
799,621,034,072,962,270,544,428,371,571,818,476,531,969,285,428,729,486,259,
803,924,002,370,843,975,810,385,094,205,923,771,849,852,611,937,114,047,464,
537,439,527,571,171,242,709,380,592,938,518,167,381,772,492,725,399,274,432,
489,090,493,721,903,152,756,994,956,052,826,807,700,750,181,553,742,957,221,
377,257,051,700,522,111,921,438,203,583,635,272,914,669,375,275,006,919,040,
285,419,521,730,167,026,235,255,331,433,081,623,871,451,245,602,463,920,190,
942,455,001,740,549,333,400,459,217,997,497,410,719,891,260,994,591,532,500,
599,883,427,882,177,891,915,370,628,907,152,759,544,896,591,759,302,790,811,
132,256,787,041,634,740,331,678,896,586,970,594,205,047,358,597,223,741,317,
066,843,815,418,946,216,494,877,919,437,623,155,845,716,542,261,077,853,191,
275,190,220,217,034,805,357,528,101,286,218,641,749,103,755,832,149,664,622,
450,810,220,504,855,746,050,735,524,035,370,699,476,579,725,390,756,016,256,
522,696,034,243,188,901,339,190,672,159,646,881,911,536,895,932,214,593,068,
542,585,548,635,324,891,489,884,073,865,550,807,765,185,052,628,392,476,167,
353,310,413,646,715,093,364,014,945,590,496,103,536,681,345,294,362,425,005,
678,717,827,380,772,695,863,072,534,538,728,226,341,944,109,576,359,693,887,
986,944,947,897,014,678,506,798,398,878,605,355,185,950,499,327,740,067,420,
106,086,624,751,842,691,805,649,962,396,592,268,968,714,230,292,677,778,699,
731,680,946,040,675,033,126,774,128,742,485,231,390,638,506,139,037,087,930,
903,203,690,153,000,807,410,704,138,637,045,991,159,292,535,760,428,029,867,
966,549,028,380,667,701,232,324,808,810,351,189,662,676,719,999,996,891,104,
765,557,322,582,996,519,378,592,506,136,935,198,669,167,403,708,511,896,773,
644,912,161,787,348,716,270,510,750,313,453,920,131,042,532,440,135,758,648,
827,355,341,660,609,047,566,480,993,810,314,399,940,840,885,203,852,108,296,
928,822,512,720,073,525,725,959,919,045,477,027,150,733,028,386,936,660,371,
382,626,187,985,074,890,079,249,215,716,465,034,100,120,787,773,407,163,358,
093,712,202,659,456,480,633,908,274,382,514,859,395,871,846,224,679,845,515,
544,534,165,607,469,183,894,919,653,455,819,873,621,214,001,918,468,829,460,
142,982,136,883,619,134,484,375,563,203,657,631,939,196,244,310,122,187,082,
779,001,347,558,445,824,085,717,677,510,330,109,778,315,778,233,269,959,696,
850,001,326,973,989,819,902,364,374,212,274,504,149,646,016,852,228,308,566,
588,615,645,744,423,499,688,481,473,048,747,319,140,110,836,383,779,134,427,
442,052,018,187,332,439,171,712,821,265,247,947,875,583,520,649,055,581,963,
435,538,500,711,693,607,215,746,681,590,624,809,930,851,685,469,754,531,368,
151,219,827,943,896,316,390,742,111,248,949,620,055,462,378,600,003,280,409,
597,734,748,734,755,305,171,900,308,950,833,069,858,373,318,669,440,748,218,
211,807,024,045,774,804,711,377,227,720,179,675,718,693,853,973,235,172,773,
550,647,941,712,341,571,260,897,085,133,763,402,174,045,057,528,422,615,208,
446,927,627,528,097,240,913,126,110,398,024,236,588,109,554,914,978,231,965,
665,776,450,073,850,966,583,661,097,079,259,733,340,441,965,609,048,311,132,
346,913,145,119,732,482,789,249,060,199,969,504,522,876,430,403,744,519,733,
600,657,331,012,235,572,509,370,932,636,769,662,635,069,716,478,030,726,427,
810,921,618,124,910,943,469,816,338,360,656,389,842,869,784,541,541,991,306,
997,889,556,850,232,634,183,205,742,700,540,982,867,706,704,421,375,788,750,
478,717,489,008,559,956,581,581,553,223,263,886,951,175,562,619,524,912,228,
446,643,640,199,055,435,827,296,490,971,510,601,414,586,108,903,312,027,767,
407,900,843,330,086,648,923,327,949,305,661,643,552,150,540,453,893,567,086,
787,649,562,021,502,666,838,041,413,994,456,946,838,791,684,544,438,615,848,
083,629,946,271,754,677,080,394,276,946,518,238,238,054,729,279,587,398,715,
549,725,040,794,747,734,691,893,958,285,482,761,461,134,675,714,454,179,493,
778,312,273,495,867,566,118,123,464,343,021,284,391,200,169,545,793,570,386,
068,771,259,802,525,377,599,849,262,968,614,589,210,978,752,273,047,198,501,
836,431,705,848,621,741,308,119,738,712,699,061,741,930,927,615,949,483,612,
147,055,954,331,612,431,739,744,529,621,288,693,592,649,492,921,226,242,135,
992,621,718,191,159,723,600,838,315,225,841,599,960,580,350,020,412,206,504,
356,996,836,293,845,484,400,668,716,877,701,192,046,015,282,668,860,803,631,
936,440,447,607,102,783,603,268,858,265,311,104,086,300,094,623,110,450,871,
069,383,173,015,738,534,342,328,321,027,361,076,077,876,377,839,174,908,115,
412,316,624,418,086,006,507,563,193,251,411,506,321,737,887,286,468,603,256,
467,667,564,164,306,075,102,561,466,063,930,121,989,152,679,396,659,869,048,
818,403,384,114,311,129,978,723,118,873,997,037,402,610,490,232,225,252,041,
404,938,284,483,819,052,741,340,613,252,485,544,162,449,637,505,803,210,103,
970,838,242,996,890,909,033,488,117,146,686,648,162,828,999,510,929,146,891,
987,193,077,557,216,722,727,109,000,744,892,779,007,430,441,455,709,719,532,
442,873,188,784,209,903,865,149,268,205,609,542,690,196,515,336,822,649,177,
634,566,884,142,303,584,509,702,465,577,634,931,931,349,995,111,097,331,951,
899,193,742,529,940,898,429,316,371,828,755,105,186,681,849,050,817,425,627,
487,412,806,700,497,699,330,319,243,914,905,946,511,191,257,609,641,064,516,
096,105,927,165,627,855,753,164,001,247,770,858,780,282,189,423,859,814,896,
444,431,521,148,020,067,618,791,461,773,629,386,787,542,255,351,908,526,159,
880,541,816,614,356,515,174,086,654,560,372,834,504,147,399,085,973,240,187,
936,588,708,764,992,330,956,330,720,116,736,655,041,943,606,921,687,880,263,
161,950,026,408,368,543,124,211,351,021,325,160,330,955,918,181,390,063,638,
440,678,342,970,374,775,322,644,135,712,039,437,545,872,949,887,589,372,205,
155,886,063,343,649,844,128,000,766,031,953,723,809,047,278,307,091,597,135,
085,388,124,719,327,303,297,262,271,886,969,826,387,148,056,512,827,663,631,
186,404,028,969,632,093,656,361,714,334,434,727,629,876,448,684,131,954,478,
260,324,232,485,636,474,482,417,185,041,446,383,345,989,335,514,751,544,014,
684,521,055,617,411,966,320,239,700,880,622,704,435,945,151,713,548,212,810,
760,544,883,276,906,455,606,702,658,434,298,696,651,395,899,927,942,879,272,
438,795,468,089,735,782,317,038,244,767,559,588,218,531,632,128,756,259,970,
662,585,095,125,017,587,386,247,274,801,489,546,359,805,873,333,858,817,493,
201,332,943,966,938,667,497,421,163,827,977,252,564,537,183,378,592,599,492,
517,581,312,348,069,820,275,248,916,153,137,818,194,778,629,555,293,333,328,
186,243,118,009,231,533,506,179,490,407,895,765,798,391,507,406,428,423,667,
950,204,670,425,590,151,030,893,778,307,801,539,399,173,084,464,914,009,847,
687,076,169,537,834,411,491,500,972,713,481,122,288,192,669,218,109,763,545,
233,780,903,780,671,355,311,612,481,901,654,648,360,445,758,414,967,824,553,
524,872,595,706,131,137,401,039,240,108,611,212,355,871,240,366,605,432,925,
021,112,484,291,628,418,388,080,743,250,398,386,957,520,623,928,168,500,399,
773,636,639,473,367,255,090,839,925,043,380,987,016,348,055,499,676,085,177,
601,829,022,306,706,767,797,685,536,757,538,107,466,069,530,015,693,776,571,
294,969,549,897,423,592,037,100,507,581,791,250,954,145,210,897,307,887,461,
957,066,137,217,280,878,206,192,412,955,465,583,062,998,386,548,011,972,294,
561,872,019,371,872,514,241,229,236,504,298,554,878,343,981,607,761,802,633,
953,554,211,527,471,919,851,182,499,675,604,725,118,570,214,180,823,896,579,
289,408,681,002,280,840,846,405,830,011,244,096,966,216,695,238,030,354,807,
749,443,648,486,276,185,184,875,970,087,955,056,135,611,982,081,624,178,186,
406,760,259,527,404,679,651,509,002,051,675,244,816,277,327,468,972,377,215,
127,288,015,560,320,102,344,793,502,515,267,342,798,191,476,558,815,202,325,
027,582,505,501,305,885,642,428,130,588,881,294,378,677,269,397,649,113,742,
420,063,129,680,741,079,578,441,218,108,772,474,850,489,148,955,247,028,542,
682,149,096,867,428,545,592,681,240,563,836,318,652,181,499,484,517,297,648,
046,784,506,126,421,146,683,150,246,175,430,313,474,916,435,772,101,229,541,
823,006,815,197,696,982,005,316,955,241,038,502,171,504,086,875,878,022,196,
498,592,640,577,033,602,269,999,579,458,315,592,013,067,213,382,612,801,991,
056,713,087,302,224,855,041,622,849,514,364,153,517,246,297,683,167,093,306,
722,041,098,699,860,774,446,897,181,245,357,409,373,277,015,455,706,230,117,
048,764,601,978,576,449,142,966,232,732,973,814,369,157,906,302,930,100,606,
493,559,940,903,026,079,076,960,052,883,736,519,014,479,646,771,906,073,263,
116,078,016,170,880,373,279,590,708,120,460,810,586,670,427,842,979,554,802,
635,797,905,970,048,622,595,184,079,190,482,616,968,171,931,611,102,806,475,
756,899,311,049,572,950,558,401,962,305,221,885,297,086,077,584,400,481,611,
969,867,912,368,818,364,712,379,140,541,621,387,087,804,103,117,754,796,861,
009,271,656,126,304,979,234,483,591,559,315,451,913,548,820,791,153,168,779,
712,131,236,358,962,367,239,589,455,132,923,940,569,236,296,024,243,404,163,
658,072,822,732,608,887,856,860,351,655,031,399,538,277,649,929,511,745,659,
866,735,816,777,939,136,957,207,030,417,089,139,584,970,754,633,057,785,226,
396,210,474,787,945,450,685,106,555,033,138,400,773,458,314,650,395,410,134,
586,547,917,546,522,489,469,410,667,852,351,321,829,018,375,434,806,886,316,
031,384,599,457,279,722,280,511,752,319,891,150,219,807,456,247,095,517,665,
246,707,620,212,295,804,751,444,983,402,977,425,416,362,263,414,018,165,624,
406,973,703,923,073,579,702,816,402,997,018,403,307,094,399,929,402,110,311,
712,524,077,874,723,030,710,078,114,580,070,651,648,667,515,125,108,608,724,
147,600,358,434,449,134,156,825,695,597,520,235,058,463,341,716,019,840,256,
460,784,443,741,860,990,598,702,232,300,835,884,357,365,629,679,608,228,794,
122,736,802,198,041,059,462,430,951,621,084,732,219,207,679,833,867,327,892,
206,894,715,057,968,176,981,897,309,140,225,433,410,049,965,096,450,641,970,
152,452,710,640,999,446,249,881,828,998,236,552,244,232,689,383,358,549,479,
671,281,030,096,558,625,362,623,365,816,927,215,775,059,242,143,911,955,837,
563,451,594,886,659,210,126,141,823,486,506,537,198,360,000,002,792,035,244,
995,859,112,708,199,867,868,664,720,615,745,708,770,520,781,109,632,093,585,
470,371,533,621,159,995,314,642,817,820,786,627,830,365,109,643,998,738,490,
438,193,366,814,962,723,418,379,032,114,662,037,654,331,606,458,987,934,535,
116,128,865,316,343,712,101,632,562,039,043,737,612,693,039,588,488,518,581,
895,362,955,156,108,520,692,240,170,070,694,826,843,331,591,013,125,010,974,
713,881,608,850,976,315,060,520,637,732,064,775,879,812,092,677,417,449,863,
796,867,020,015,121,508,335,508,101,633,453,452,970,360,594,752,992,956,940,
419,600,224,903,587,050,584,517,422,780,640,365,740,503,746,880,148,311,760,
733,655,926,941,805,999,851,571,214,607,486,973,661,691,775,725,757,288,752,
513,869,097,074,324,264,042,429,117,316,752,265,712,179,276,377,696,402,475,
553,033,095,192,361,778,918,521,785,691,607,352,146,278,160,619,298,247,910,
274,411,794,928,612,210,883,312,634,221,990,638,129,222,140,364,698,817,522,
753,088,190,611,047,078,801,522,430,632,263,375,260,942,216,143,203,100,692,
255,457,110,779,723,782,946,296,267,316,599,115,411,794,198,980,519,119,693,
420,994,556,065,801,555,613,502,840,256,242,899,528,477,961,937,813,995,297,
873,450,817,342,296,191,984,501,695,640,170,663,597,410,919,489,208,589,938,
103,348,253,407,149,221,301,783,958,834,619,224,933,938,443,813,137,540,478,
159,533,410,535,797,708,129,412,913,202,995,178,387,808,106,884,579,107,019,
029,956,116,010,826,571,011,213,814,621,579,083,204,049,502,713,676,695,385,
876,077,830,257,909,933,998,498,541,469,195,783,130,942,262,261,344,399,364,
771,783,590,566,639,464,310,228,760,362,139,726,096,008,620,764,584,150,099,
319,296,078,606,700,409,453,330,516,307,793,381,690,069,458,097,015,644,801,
615,735,616,513,759,617,204,959,396,318,652,274,774,906,853,627,915,500,817,
445,905,580,674,563,096,065,602,426,930,383,427,192,229,335,641,616,322,355,
534,898,982,490,481,233,437,976,361,921,994,538,409,183,396,492,109,061,149,
056,485,728,706,790,836,395,788,392,960,439,675,227,798,178,446,880,326,563,
116,874,069,563,397,082,374,677,659,318,205,343,665,505,766,097,131,918,150,
760,736,544,880,663,955,316,583,523,016,387,873,605,861,316,445,696,707,876,
087,738,275,831,763,714,963,729,800,247,740,747,459,236,057,284,169,625,381,
176,709,447,589,485,488,083,325,165,794,365,817,199,886,968,029,159,623,328,
972,566,408,324,252,817,326,020,948,009,228,927,448,815,902,308,015,417,146,
537,885,662,988,149,747,611,645,810,535,263,782,407,635,578,488,230,209,191,
209,836,747,923,850,303,977,347,560,520,647,628,502,886,704,560,981,668,451,
980,187,878,421,264,987,830,478,661,297,238,612,376,370,437,192,156,776,902,
396,614,150,388,828,427,161,237,059,669,539,289,329,678,156,928,412,844,044,
172,459,955,211,273,785,666,552,522,520,163,095,750,126,522,962,734,049,138,
627,544,118,159,340,749,784,350,746,593,404,364,082,000,707,343,535,642,722,
525,349,160,511,614,705,602,972,760,100,787,063,406,954,096,330,107,148,096,
035,261,828,775,684,448,786,121,361,960,003,588,839,935,777,778,893,985,376,
324,392,808,664,900,005,742,293,171,360,412,489,799,748,779,004,279,863,496,
169,703,428,303,533,230,135,908,543,855,332,003,496,116,587,646,413,632,359,
672,089,007,107,489,572,814,041,402,027,530,500,872,250,374,536,196,795,795,
838,050,404,078,911,293,547,994,414,170,904,644,851,358,095,279,888,692,220,
396,645,550,747,216,541,134,647,929,046,117,764,952,224,702,467,526,971,558,
350,372,060,870,650,398,340,165,971,959,692,704,133,097,927,041,670,527,542,
576,130,927,950,636,640,062,702,449,632,683,491,198,056,014,332,231,037,248,
029,285,718,045,228,471,598,221,273,138,309,260,550,448,153,096,385,439,936,
894,401,330,207,940,315,430,827,963,484,409,822,097,766,203,427,890,843,963,
430,763,285,026,276,572,645,775,735,828,750,234,596,621,020,785,328,678,788,
916,245,971,277,648,036,331,550,209,652,832,550,889,468,291,206,878,667,950,
026,872,257,744,737,706,069,038,551,614,448,517,135,711,095,430,370,340,867,
917,722,429,632,536,726,637,683,990,902,310,440,805,827,036,241,053,190,932,
799,978,586,855,567,983,020,336,671,858,038,213,651,931,793,978,851,142,242,
902,179,398,600,093,730,342,037,132,188,879,747,898,645,285,001,536,130,747,
976,281,759,264,810,533,127,046,776,141,776,792,126,082,157,942,175,806,915,
675,389,635,968,774,145,814,333,951,726,961,455,973,993,157,384,867,916,700,
221,025,711,427,792,505,498,191,362,185,286,784,065,529,122,648,631,876,141,
306,619,763,153,937,517,512,775,948,376,450,913,822,498,439,281,544,955,468,
496,544,367,243,172,734,882,215,496,137,434,094,075,312,593,699,562,195,247,
134,185,099,646,523,217,481,605,512,881,804,450,463,024,525,005,257,651,874,
876,767,493,010,464,667,720,290,858,351,619,840,386,699,297,756,860,840,876,
623,165,857,205,983,500,916,251,653,238,667,465,395,951,576,841,217,962,117,
537,480,140,978,495,585,849,082,137,633,802,141,270,385,707,974,995,207,695,
514,288,302,623,814,211,815,008,614,961,660,516,250,181,822,349,431,481,425,
729,537,496,453,671,668,893,921,483,580,086,355,609,352,199,767,514,285,021,
967,369,722,231,906,338,642,955,638,923,750,787,442,086,209,508,190,013,233,
861,067,874,427,132,814,615,760,669,534,426,218,393,692,239,234,801,493,669,
672,442,100,470,047,253,459,479,156,498,561,791,936,417,923,181,557,918,818,
440,516,527,256,647,711,371,486,409,620,996,921,044,609,742,236,403,839,824,
953,407,666,076,716,786,515,355,755,551,097,936,767,646,311,132,013,951,045,
335,944,438,158,276,623,852,797,867,961,678,350,899,406,242,039,573,969,001,
813,793,988,567,649,962,126,726,668,559,248,076,476,769,343,518,824,415,841,
232,980,386,134,727,022,486,717,456,372,953,088,956,304,673,318,833,862,626,
755,246,829,370,070,638,854,039,146,708,997,585,251,022,393,119,514,408,127,
287,170,849,350,965,729,437,723,801,372,631,814,325,995,628,520,105,989,677,
800,224,776,721,373,985,049,076,010,848,696,378,163,139,117,848,845,242,412,
867,595,154,333,153,536,923,878,086,380,307,036,483,700,716,234,581,289,470,
228,743,019,903,718,872,552,070,893,658,102,926,179,684,265,835,923,555,455,
153,031,515,539,103,533,592,894,426,591,945,443,969,308,472,683,586,813,178,
923,367,549,056,954,806,055,628,494,428,165,470,488,014,634,868,027,666,765,
047,670,488,735,841,090,876,251,098,356,698,093,001,680,561,724,522,881,194,
719,638,247,082,876,142,589,777,334,921,082,766,048,271,439,266,280,816,603,
331,687,415,970,518,506,549,490,242,530,121,344,129,205,773,187,728,912,064,
224,813,901,341,486,109,287,422,519,097,436,829,544,347,304,599,900,301,896,
350,701,380,667,000,911,912,440,034,911,073,914,887,243,717,652,005,341,568,
124,395,839,649,353,167,187,009,481,106,578,436,925,757,215,777,484,543,099,
549,870,278,765,999,610,651,507,675,944,804,343,540,189,013,566,165,639,581,
472,425,059,530,538,193,549,881,167,287,778,645,310,192,147,125,856,600,517,
861,040,321,697,704,355,006,858,148,658,978,328,769,504,837,520,327,887,314,
999,365,828,211,980,421,861,190,287,354,728,758,255,078,876,883,237,592,820,
545,762,620,624,970,534,347,203,623,796,634,474,320,914,167,518,742,342,284,
259,403,537,131,470,203,071,377,328,484,655,209,311,480,887,201,220,719,046,
145,077,142,249,210,814,003,040,594,072,024,716,023,189,615,570,528,625,494,
296,717,176,587,896,310,851,888,547,518,000,185,704,040,238,706,027,848,020,
683,060,277,651,750,054,815,065,914,636,030,133,214,199,958,335,386,503,346,
319,086,634,376,520,509,738,574,235,580,178,447,438,522,017,115,977,328,987,
338,467,533,001,082,074,010,290,950,418,573,122,444,820,896,155,726,874,516,
843,615,742,428,651,356,174,757,996,893,444,821,399,722,845,912,337,394,967,
713,563,965,856,293,521,698,947,345,496,171,873,840,315,596,717,106,061,918,
900,452,662,206,950,988,940,796,989,164,116,409,640,365,434,321,991,771,957,
094,691,002,370,907,674,264,903,229,713,906,305,000,529,723,832,373,512,460,
265,787,045,710,027,022,431,901,238,610,201,261,581,859,528,874,116,232,163,
187,013,202,929,711,086,514,473,078,454,994,779,175,806,210,614,020,375,744,
192,246,697,481,597,787,640,465,822,423,975,560,982,662,185,579,471,856,276,
261,491,444,950,223,689,698,003,895,056,742,313,759,287,108,715,623,396,673,
729,494,358,999,050,412,722,203,294,053,908,823,561,176,228,853,799,941,515,
603,783,391,679,795,038,736,529,299,101,383,133,955,392,068,198,998,833,640,
593,930,081,357,297,634,747,481,762,289,632,323,890,985,165,914,147,403,716,
897,202,707,621,548,970,832,785,445,950,246,565,927,203,338,284,175,279,509,
800,274,544,731,065,158,091,393,162,565,240,940,595,039,932,766,464,409,953,
017,629,452,571,998,957,194,057,878,968,008,822,286,276,657,388,126,474,697,
449,601,807,461,617,884,151,842,037,932,158,088,506,639,453,536,156,127,925,
821,400,604,516,588,161,317,214,444,794,134,061,007,175,623,400,129,637,704,
468,675,719,829,094,791,784,381,973,556,423,737,978,805,308,466,336,531,257,
254,190,269,349,759,262,615,317,993,149,471,856,449,401,324,840,039,439,618,
674,543,856,356,144,455,583,594,506,291,631,121,591,580,749,135,833,732,333,
013,243,446,200,265,225,349,211,130,973,615,257,400,907,685,268,971,079,713,
734,793,796,081,320,651,345,877,194,166,816,286,995,438,482,974,115,851,125,
227,779,771,017,893,672,285,367,095,553,062,217,426,520,989,350,614,036,081,
507,594,018,786,007,887,523,295,547,199,569,831,887,234,467,698,425,091,284,
305,621,916,699,421,971,473,583,417,709,519,805,246,696,081,156,021,575,274,
818,525,066,945,356,997,511,172,369,076,519,446,898,997,725,708,075,020,734,
952,600,783,008,929,523,772,641,914,868,152,797,290,968,192,552,437,791,779,
001,825,228,301,859,555,771,453,628,971,434,534,147,338,003,170,026,665,221,
203,066,594,566,280,467,638,507,213,453,286,339,349,865,485,187,687,955,756,
813,763,904,596,696,514,477,138,708,470,358,895,909,768,552,952,556,568,830,
661,545,319,172,287,073,875,122,722,708,386,739,019,005,573,164,020,754,030,
140,444,603,319,995,532,358,747,803,320,702,967,040,031,758,167,669,327,737,
489,358,381,365,879,089,323,501,513,206,784,400,651,021,882,805,391,732,665,
248,032,627,764,453,053,918,348,626,400,794,302,859,298,880,457,322,406,390,
506,966,360,572,113,060,801,025,021,345,178,939,089,891,113,062,758,892,388,
618,041,037,034,620,366,260,980,924,798,892,448,320,882,486,215,032,217,679,
920,627,645,083,920,788,262,482,364,846,461,095,331,003,696,750,821,807,329,
136,276,373,319,925,317,984,471,991,892,274,635,124,102,772,292,489,859,623,
390,238,160,377,592,506,754,255,581,571,227,089,727,027,921,860,234,910,308,
135,637,807,617,640,771,761,145,555,366,384,336,820,554,983,978,188,762,019,
309,805,792,158,419,162,695,116,562,971,222,271,678,897,187,120,747,847,544,
707,967,732,226,740,279,474,119,137,512,386,723,127,732,518,227,250,851,983,
102,119,843,850,876,463,944,155,819,440,914,971,314,744,096,534,531,943,023,
899,873,999,647,848,001,448,001,626,810,159,117,103,954,412,603,790,578,201,
024,842,262,376,517,798,211,503,267,222,693,926,085,587,822,084,977,843,434,
126,852,584,797,070,413,757,587,244,677,622,869,845,539,610,199,201,517,156,
596,243,496,908,680,673,185,138,624,130,596,814,701,471,766,075,131,883,365,
804,235,863,116,228,885,126,949,285,126,748,503,911,668,315,697,597,723,985,
762,544,348,294,787,082,978,571,123,595,924,192,287,269,106,521,403,065,766,
126,616,647,697,070,138,930,913,703,198,783,591,291,362,930,020,807,756,602,
387,498,503,801,455,437,228,892,485,212,501,081,054,279,823,315,917,188,193,
361,355,662,762,462,420,536,585,137,810,678,646,736,987,982,064,955,967,153,
747,147,700,921,333,952,911,009,279,041,651,126,239,513,431,314,634,950,924,
209,753,550,092,589,449,464,976,345,431,276,749,767,822,141,917,173,909,905,
714,224,810,547,640,966,282,339,722,116,786,583,625,418,559,370,541,128,021,
254,417,120,365,920,724,665,727,760,613,829,624,890,156,247,123,516,040,521,
142,844,992,857,016,259,345,450,904,011,477,399,234,222,092,473,385,636,945,
568,588,488,282,911,413,468,713,661,090,555,333,176,653,762,634,287,938,072,
763,621,770,303,436,306,058,141,926,083,682,512,618,997,091,334,056,355,068,
212,085,806,878,436,450,288,848,850,860,277,325,938,583,952,443,347,259,653,
210,087,536,314,636,485,559,787,170,305,891,794,857,100,478,768,492,368,803,
447,381,042,084,909,362,148,192,721,893,955,940,208,363,657,176,851,408,545,
836,631,207,411,153,949,319,436,030,626,571,574,992,041,698,689,414,964,232,
852,955,223,167,716,755,503,935,764,930,689,560,871,101,194,626,995,289,015,
393,714,467,654,850,638,389,254,583,045,393,661,911,749,641,818,573,279,821,
750,798,301,910,825,085,267,614,204,584,163,756,751,967,028,591,087,020,185,
973,238,521,257,416,636,585,323,896,595,272,328,504,816,804,279,104,160,323,
444,158,028,378,225,513,680,498,017,918,359,381,943,051,579,559,024,252,369,
817,435,269,472,921,548,061,463,096,792,958,558,967,468,605,827,756,233,903,
935,881,266,823,339,122,957,357,873,187,532,691,949,309,196,659,096,602,318,
327,126,288,479,696,448,991,833,709,060,086,108,285,441,163,286,523,013,528,
776,306,963,989,272,731,942,317,396,102,184,341,272,912,309,742,109,577,538,
074,598,001,084,090,355,520,459,151,217,179,040,051,197,966,893,383,733,845,
477,059,715,517,333,410,829,263,107,046,220,830,519,443,150,703,164,938,603,
228,989,577,319,991,342,408,718,330,070,506,074,109,179,365,242,235,789,920,
755,059,488,673,932,110,801,732,060,871,998,483,016,955,346,526,100,912,019,
719,639,786,540,643,155,004,114,587,644,363,003,239,290,528,671,784,252,405,
160,494,207,438,298,166,765,898,088,005,363,573,109,138,444,924,216,700,326,
560,423,181,911,842,839,261,407,478,481,209,303,656,661,172,342,816,453,137,
781,546,060,602,897,017,552,726,760,704,118,994,050,030,830,971,677,294,384,
575,140,889,674,599,410,147,884,710,124,612,887,986,823,702,530,036,045,015,
459,848,523,420,289,824,292,404,357,379,957,570,015,734,330,547,795,618,907,
188,502,912,425,459,642,193,338,979,434,077,923,588,412,661,324,308,770,584,
300,844,777,490,239,942,550,472,826,900,492,029,504,421,773,069,194,192,360,
713,405,921,628,932,057,423,994,728,825,137,389,415,904,512,023,140,702,434,
731,620,369,413,190,910,494,756,045,952,552,095,212,216,777,967,924,266,589,
790,985,664,198,776,123,488,978,575,970,986,805,799,609,226,857,258,912,090,
690,684,373,648,149,279,991,290,151,998,849,636,294,726,769,497,448,768,776,
632,551,854,396,693,589,122,725,975,933,928,600,937,884,829,273,105,811,931,
685,332,639,458,061,307,047,319,576,574,235,737,343,655,375,208,321,418,759,
808,856,520,824,226,886,040,324,814,898,646,572,771,578,990,601,638,366,982,
365,863,935,312,106,673,000,924,921,772,367,182,439,159,002,440,611,617,242,
690,610,327,337,082,585,004,818,301,419,268,367,576,130,576,437,988,212,193,
256,134,668,512,174,815,648,702,565,370,870,674,212,998,322,500,381,802,888,
079,025,615,230,716,150,266,754,656,537,067,115,973,738,744,372,815,362,988,
820,723,135,355,931,035,050,206,441,135,838,101,413,215,835,129,215,385,353,
668,811,077,166,640,788,571,113,768,390,693,359,292,323,971,393,268,321,001,
462,056,395,380,217,248,927,177,604,453,711,886,448,132,947,927,054,656,998,
985,283,107,784,161,854,442,444,653,279,981,081,883,422,618,648,571,540,472,
847,051,436,743,792,661,846,150,236,141,094,907,767,708,042,529,510,618,874,
774,614,559,840,198,081,786,429,182,184,361,497,604,785,370,482,932,194,894,
373,404,096,378,206,674,862,119,704,795,395,901,534,620,130,680,304,030,853,
078,550,987,702,111,343,516,569,635,718,968,943,673,563,820,217,377,569,689,
064,445,200,554,183,886,365,409,369,740,929,951,574,286,742,167,470,334,044,
622,931,126,168,787,005,884,866,274,727,291,234,873,520,180,333,548,015,024,
839,351,570,359,309,598,922,307,864,735,824,587,871,964,702,378,344,535,303,
343,288,110,526,041,910,019,534,069,424,480,053,541,952,825,672,344,528,215,
963,386,056,231,632,595,764,677,227,688,145,906,891,899,629,698,432,594,031,
394,817,362,709,789,191,029,288,255,438,302,051,504,732,236,008,845,192,023,
891,937,557,798,258,820,770,811,504,585,462,076,461,174,895,507,547,233,405,
282,535,259,661,497,472,218,693,337,850,817,981,695,159,948,035,374,941,770,
250,731,612,895,984,940,198,873,169,315,933,183,228,521,175,997,609,537,265,
314,312,902,697,884,186,999,875,245,539,101,752,972,823,479,139,361,709,386,
400,794,227,306,183,710,744,362,013,808,802,634,244,057,915,829,630,388,796,
525,635,463,342,085,582,339,121,332,164,198,387,438,281,882,359,967,979,076,
255,570,898,720,271,737,284,105,904,505,787,024,662,841,559,358,914,665,244,
630,779,914,274,688,844,566,683,136,117,604,857,500,729,491,161,325,552,126,
376,768,825,247,593,783,121,645,133,207,762,103,609,067,457,972,190,355,491,
631,453,511,496,512,130,632,169,063,730,680,208,517,902,702,988,075,999,867,
172,823,100,713,390,861,060,168,934,051,976,316,304,409,876,690,581,015,688,
405,828,756,989,168,584,061,895,691,901,600,468,832,305,005,254,462,917,887,
576,295,721,983,788,173,507,738,379,980,132,125,255,263,827,275,324,054,162,
831,567,635,751,580,142,563,873,626,323,609,610,371,915,771,217,496,689,562,
927,707,543,898,301,811,136,306,031,819,117,353,077,209,723,806,879,989,426,
996,532,013,658,148,392,605,954,689,666,345,911,752,995,692,806,053,925,228,
818,330,676,446,420,657,848,912,934,491,139,740,913,440,979,574,476,414,679,
026,451,665,590,796,513,126,817,697,607,637,530,756,560,269,887,279,999,671,
771,475,269,208,649,812,401,859,642,221,601,048,344,639,730,630,200,702,607,
090,461,375,947,102,500,778,301,933,101,121,538,831,956,685,817,929,209,606,
592,778,828,957,660,718,744,118,919,633,016,305,382,365,487,432,160,942,028,
238,172,619,684,159,842,698,454,794,792,123,399,807,744,042,286,235,953,808,
234,191,565,644,026,425,868,706,575,697,156,919,432,972,109,048,293,442,889,
801,097,049,308,768,376,588,661,274,915,023,472,171,438,197,105,999,694,645,
676,682,983,867,780,746,619,190,059,345,057,636,226,430,469,202,356,455,275,
169,215,985,032,865,349,544,222,792,796,099,877,279,574,221,546,523,802,216,
714,187,170,439,124,700,309,028,089,971,961,085,849,012,629,044,515,465,030,
350,996,671,301,568,647,348,598,086,905,370,525,067,969,977,989,942,840,929,
332,713,088,635,234,794,714,992,334,228,408,114,880,343,632,590,813,086,305,
857,036,657,879,769,468,357,863,160,100,192,044,805,508,910,087,175,155,999,
227,993,953,282,900,626,965,422,711,309,234,628,075,929,259,006,901,457,839,
614,275,506,579,878,088,422,207,741,050,381,698,276,586,931,129,604,682,951,
450,295,062,962,123,762,082,157,993,066,835,543,886,160,867,019,435,676,902,
407,426,873,995,920,181,191,240,400,847,955,693,662,633,508,757,522,264,488,
574,899,157,278,936,459,977,520,800,328,524,702,204,445,652,155,505,592,621,
579,693,023,698,853,287,693,081,305,330,609,061,858,083,678,785,891,089,699,
368,300,969,771,216,589,946,623,486,956,813,695,772,866,006,752,460,809,229,
156,760,244,098,671,170,478,209,863,373,866,436,702,503,923,421,879,571,304,
267,862,267,856,727,966,182,036,055,038,054,112,997,287,398,305,678,445,109,
544,516,229,144,127,316,046,981,883,549,083,904,430,769,529,816,076,641,872,
416,950,109,623,463,475,255,444,652,765,773,907,874,715,410,012,320,714,142,
220,632,664,088,767,141,348,903,323,922,128,353,467,617,071,592,925,838,698,
114,839,536,532,088,587,116,292,293,917,618,404,117,304,435,118,824,605,565,
251,562,975,413,844,727,529,264,246,176,050,967,465,931,715,549,578,566,935,
853,686,282,327,717,707,732,103,945,865,360,778,649,454,519,954,698,684,671,
888,581,711,166,897,693,871,080,396,196,729,696,585,765,036,494,113,415,563,
407,915,941,860,563,540,283,875,555,816,617,206,720,482,115,514,476,805,232,
671,816,974,683,811,471,027,835,367,909,240,659,127,360,906,396,734,557,645,
107,657,342,815,064,146,324,339,187,289,514,308,769,578,445,984,740,448,324,
756,103,843,961,786,791,512,621,946,679,452,471,169,750,871,398,498,515,760,
685,508,049,546,311,893,487,591,921,926,539,932,792,542,583,050,881,785,711,
175,197,733,800,417,269,429,498,154,624,080,510,733,148,182,404,849,125,055,
904,871,547,145,557,099,308,014,121,011,242,439,099,990,994,385,747,679,366,
933,327,552,859,762,118,796,660,006,620,267,673,312,951,148,561,196,742,608,
988,286,991,354,799,287,863,590,531,650,003,916,289,104,735,985,168,144,469,
202,548,775,170,467,749,055,409,233,489,477,646,532,312,214,570,991,534,892,
466,109,423,329,126,488,039,884,659,167,908,688,571,741,456,762,884,317,873,
701,017,383,672,293,894,316,256,730,942,993,843,882,824,501,567,923,970,351,
224,872,815,579,539,281,858,492,072,596,553,169,845,760,079,332,873,273,744,
051,110,879,523,190,041,627,871,709,899,410,169,075,174,145,696,009,026,961,
946,701,428,548,537,985,284,790,464,221,712,095,438,536,431,494,868,745,230,
945,443,240,969,233,481,998,489,152,370,980,943,765,457,935,978,350,866,521,
952,267,652,504,261,226,532,128,096,338,609,606,322,067,766,691,942,002,425,
551,353,215,215,206,470,656,508,691,538,481,163,130,206,695,419,642,984,313,
022,112,135,932,162,339,482,776,820,937,427,615,274,594,069,842,436,584,141,
966,453,820,734,724,892,243,654,061,048,464,209,795,872,350,777,990,504,253,
951,043,262,500,377,893,249,247,834,363,578,482,057,049,005,918,628,098,725,
159,241,243,532,030,508,338,674,809,273,152,426,104,835,573,039,657,984,965,
167,235,487,935,195,601,223,659,562,532,172,993,501,332,704,381,286,919,521,
311,092,202,835,074,447,136,839,020,848,594,878,108,760,667,297,660,940,750,
647,995,542,264,498,455,326,590,845,523,591,785,696,857,619,325,267,554,851,
834,288,913,773,179,989,323,855,063,461,022,296,967,046,940,896,824,217,238,
949,783,629,827,971,719,518,753,801,892,216,569,845,670,171,307,882,679,202,
154,161,224,278,796,284,050,284,313,681,585,943,055,660,380,191,484,075,015,
609,337,032,232,044,039,406,530,088,395,814,458,885,564,819,435,676,666,323,
423,720,391,094,679,699,553,880,613,723,674,019,415,910,125,703,210,302,332,
108,349,375,878,064,963,032,448,797,364,901,704,055,205,539,644,925,431,494,
101,121,176,543,466,569,206,187,888,191,247,562,448,986,167,719,167,213,111,
419,952,345,422,475,056,939,190,605,848,263,456,910,266,554,793,783,651,909,
681,069,059,380,583,550,707,462,275,696,071,634,359,536,501,037,123,614,847,
654,617,641,415,134,449,039,858,590,746,196,503,172,717,111,741,143,235,502,
952,896,919,556,410,433,613,097,140,641,629,344,803,323,767,997,440,141,691,
058,125,791,392,810,369,212,467,248,400,507,906,423,320,006,038,603,001,140,
693,467,781,075,172,987,921,667,193,371,819,482,468,408,326,256,350,620,435,
761,382,835,403,913,019,432,086,316,850,951,432,994,760,653,951,907,168,602,
725,926,708,739,768,205,971,816,757,855,006,356,801,778,425,655,545,681,741,
773,469,367,966,466,290,175,472,896,017,733,388,279,937,397,644,840,370,198,
248,936,123,657,590,500,559,887,734,970,503,487,878,053,249,659,329,731,756,
992,571,033,836,365,504,042,996,451,708,924,562,455,325,684,946,450,362,223,
580,211,127,149,835,899,106,098,901,049,932,064,677,100,797,917,875,138,048,
070,822,943,436,253,900,108,974,220,636,449,276,086,658,144,809,237,101,162,
654,919,560,844,350,869,834,735,182,391,566,763,642,147,760,885,452,695,986,
034,015,999,475,887,102,365,553,605,010,402,722,431,551,701,696,757,611,218,
661,204,391,273,887,605,314,650,186,518,990,872,397,156,478,007,309,035,698,
534,004,095,685,206,365,656,591,884,611,746,647,994,578,745,021,542,795,195,
919,711,946,850,364,197,328,690,030,852,995,743,879,317,641,157,180,024,385,
730,460,544,285,482,957,089,942,515,227,478,879,796,038,264,907,809,576,295,
869,407,371,029,206,224,072,522,017,887,141,565,250,211,014,097,135,178,193,
350,132,322,901,842,496,790,888,915,046,259,133,938,638,262,355,193,462,328,
716,790,102,548,125,704,049,445,226,228,026,368,189,707,827,607,546,174,612,
786,984,757,099,020,002,051,285,173,308,346,001,542,978,324,693,284,854,837,
230,198,487,127,104,726,545,103,354,990,353,408,710,341,087,035,554,320,466,
788,967,945,385,905,198,731,224,449,027,267,788,773,538,388,561,606,122,027,
314,824,835,718,450,582,488,982,200,334,514,885,167,924,138,174,354,809,130,
782,304,966,628,088,783,255,226,716,954,420,519,875,477,582,867,367,114,908,
004,875,218,002,254,262,379,370,838,674,698,322,669,215,868,521,799,393,269,
378,297,190,653,420,243,210,037,428,550,863,258,433,536,436,524,189,798,006,
711,453,584,199,065,653,958,415,980,552,422,628,483,720,325,747,772,596,940,
441,430,161,036,104,226,039,226,497,662,498,268,503,580,197,583,248,725,375,
041,006,482,598,397,697,596,584,711,019,008,846,606,850,342,081,790,037,491,
628,745,186,294,242,198,747,261,447,539,032,315,417,747,382,617,194,057,289,
352,379,940,348,335,513,130,851,342,065,237,948,611,149,527,198,174,538,766,
327,200,246,516,038,717,422,569,279,743,345,906,264,773,704,577,770,232,465,
730,470,475,917,202,659,884,354,000,514,868,812,283,358,111,236,921,150,112,
671,380,456,215,963,640,687,274,777,110,833,867,860,632,698,097,158,673,717,
347,179,250,703,253,618,683,977,789,791,537,019,692,400,905,647,110,174,436,
316,365,046,715,629,845,903,255,660,085,833,072,740,129,862,694,686,399,812,
796,362,517,461,907,301,493,285,401,341,935,687,387,603,968,639,164,483,210,
044,249,504,505,948,563,782,802,066,082,534,745,244,726,855,061,075,363,482,
219,476,455,331,391,341,599,244,108,873,564,181,883,594,657,247,187,587,811,
777,151,701,857,041,504,887,167,894,032,064,037,224,742,738,334,818,124,229,
350,143,967,591,792,259,460,944,257,101,345,526,303,230,261,896,851,984,453,
083,825,521,522,969,112,642,005,727,200,741,597,772,625,883,878,695,715,747,
007,426,038,282,080,007,268,093,308,916,745,092,073,133,086,733,390,326,202,
543,766,371,666,135,115,442,421,595,089,025,908,673,821,686,439,563,010,466,
521,406,987,776,714,909,630,978,468,051,577,669,704,433,645,205,636,651,862,
582,258,244,035,152,083,996,102,384,811,410,405,844,041,668,243,829,479,048,
286,344,218,065,243,806,801,919,883,806,646,682,904,158,362,203,528,580,464,
746,636,933,638,504,614,966,381,094,713,634,812,519,288,829,687,565,936,558,
558,283,306,898,098,920,122,646,602,239,956,352,275,905,164,645,258,027,119,
736,214,553,649,274,630,374,956,287,666,649,470,989,187,928,928,864,184,982,
786,717,484,733,365,336,567,436,547,432,401,252,522,457,271,407,704,534,201,
026,173,819,891,438,042,034,343,697,021,072,853,422,645,203,261,618,884,823,
503,861,573,010,266,274,536,235,878,035,869,550,787,186,224,640,953,280,887,
213,383,609,452,259,247,450,237,857,826,639,196,721,162,473,643,412,120,699,
962,522,337,404,217,415,599,856,389,941,203,958,348,230,804,778,290,814,847,
871,876,491,004,271,379,344,135,876,518,795,230,717,545,922,963,999,425,055,
628,647,526,175,496,898,945,704,442,051,579,649,428,646,600,214,507,785,445,
313,229,502,627,162,578,684,898,030,988,793,689,413,385,893,190,180,781,920,
099,557,842,235,292,967,375,808,644,502,494,609,140,650,882,705,434,327,717,
797,176,120,141,613,376,657,883,810,187,869,120,230,704,226,125,481,821,558,
835,316,573,115,380,926,837,817,380,473,561,929,535,668,850,618,038,906,372,
412,641,517,670,573,096,932,024,207,391,943,393,953,296,322,361,457,726,948,
619,289,291,374,369,000,811,873,248,989,411,805,611,240,331,589,319,025,875,
626,745,848,729,252,927,751,517,215,379,810,862,128,286,891,429,600,664,868,
160,984,132,121,640,796,880,551,940,159,106,847,830,730,326,105,513,969,821,
642,793,897,750,853,977,097,976,107,574,656,574,053,815,621,584,589,308,800,
161,872,192,619,661,893,943,336,953,261,832,232,513,171,548,025,226,982,251,
158,052,655,671,055,960,592,322,168,912,955,123,654,308,300,442,168,764,203,
873,959,388,604,478,489,642,995,579,686,249,582,809,833,785,980,057,037,643,
816,037,636,360,056,802,869,345,248,908,139,718,161,065,716,827,259,049,978,
968,220,539,514,267,400,791,510,378,931,239,397,164,881,000,721,961,652,671,
196,344,948,172,076,955,029,136,174,261,475,168,078,367,614,056,694,812,935,
228,027,181,666,713,375,072,539,965,048,092,543,351,184,116,667,449,852,219,
949,012,327,185,973,278,050,833,413,401,052,587,594,434,043,962,361,738,859,
281,006,873,796,431,097,869,149,222,810,357,243,930,846,935,879,612,331,382,
191,769,863,652,941,011,651,892,796,238,943,269,611,766,831,706,996,130,700,
745,440,778,138,937,565,798,230,854,150,626,009,009,219,468,757,855,332,208,
447,977,237,369,150,701,077,980,033,658,159,547,721,000,910,666,241,333,580,
593,742,280,865,915,867,797,807,369,852,963,339,400,142,813,747,706,794,157,
214,520,075,579,728,903,002,925,938,160,628,617,928,775,096,155,271,315,568,
587,867,994,838,345,740,664,299,842,840,299,659,377,769,687,158,818,535,489,
863,654,845,995,909,171,664,300,479,742,332,003,905,142,442,544,485,978,752,
132,076,572,487,179,205,892,001,293,521,495,068,178,467,609,328,735,001,882,
280,311,704,753,743,721,637,670,028,413,222,904,268,491,740,079,910,606,407,
335,236,566,249,212,770,568,048,632,540,688,978,453,740,749,245,177,867,265,
807,749,885,965,659,895,404,693,384,697,712,673,837,390,529,447,526,424,830,
510,357,615,167,996,833,205,117,451,283,664,158,968,366,572,563,736,683,524,
889,064,848,468,314,427,777,340,749,750,587,936,197,890,331,724,859,037,018,
140,728,170,414,091,939,335,606,642,803,526,022,429,109,039,029,561,820,830,
667,499,283,122,946,789,328,908,062,092,846,582,543,525,599,866,600,348,409,
331,849,962,922,966,664,260,072,634,018,262,686,515,284,221,112,047,064,284,
342,801,118,056,394,366,173,557,726,501,423,634,561,062,953,941,140,355,695,
381,733,904,030,447,854,509,796,448,755,937,100,347,308,620,293,948,608,823,
002,311,042,434,799,298,470,073,664,741,849,858,688,455,032,264,583,673,638,
855,785,826,884,337,926,741,987,850,344,000,612,508,511,729,512,565,700,461,
896,363,321,469,818,903,383,020,145,475,143,952,475,234,329,776,524,001,408,
731,052,374,201,081,682,242,565,203,413,224,310,534,058,227,706,119,187,513,
373,136,165,279,524,486,700,419,029,526,450,824,872,565,973,158,134,078,266,
815,738,781,174,805,459,510,450,803,180,350,853,608,635,520,260,548,029,907,
419,331,944,765,054,473,666,085,473,816,769,697,370,820,714,919,177,554,963,
089,720,320,514,400,805,481,330,556,987,092,414,103,029,723,790,015,238,871,
103,311,274,647,137,847,098,688,518,222,450,089,104,441,908,225,116,483,908,
955,733,981,598,600,723,355,006,721,088,544,845,989,771,143,366,276,287,889,
107,633,134,044,423,632,732,983,105,096,253,978,365,406,296,248,621,833,736,
210,375,238,498,956,206,768,457,971,359,614,420,694,705,197,848,037,161,746,
703,589,620,217,853,304,863,324,253,903,688,857,507,498,981,397,680,746,076,
685,724,418,576,796,105,019,808,674,320,298,111,457,984,965,406,470,883,523,
046,268,093,974,806,725,429,264,104,808,974,703,647,758,373,981,515,880,000,
029,103,763,917,559,280,275,087,018,723,207,541,251,118,350,724,356,342,170,
894,151,581,762,887,236,630,237,469,343,010,012,840,454,454,598,244,266,379,
769,077,967,233,197,547,704,253,980,533,883,400,035,374,840,275,583,289,657,
433,087,196,518,629,098,576,295,306,340,289,495,066,025,982,162,321,545,118,
708,151,523,597,490,193,441,908,881,224,001,617,009,834,705,278,874,417,145,
578,576,769,804,595,180,408,272,955,946,325,285,002,164,232,787,992,056,195,
376,541,436,424,037,026,321,262,498,759,467,926,586,176,678,192,115,232,619,
005,812,002,456,204,504,719,872,291,806,306,708,684,211,591,901,407,992,656,
917,161,030,357,436,772,723,490,913,995,538,370,006,116,886,800,669,506,285,
936,091,193,429,183,941,875,683,626,363,593,774,359,923,297,392,571,838,438,
665,878,151,438,893,291,624,620,175,781,714,671,503,865,144,088,195,370,471,
212,295,513,010,267,106,512,605,391,743,703,701,184,163,118,063,872,936,714,
612,107,242,103,636,913,656,258,716,661,207,473,648,061,679,018,030,722,360,
501,969,998,819,489,597,175,299,050,509,315,548,463,755,722,524,795,569,046,
744,479,249,109,607,942,654,845,503,185,606,041,268,639,699,558,331,917,381,
741,176,249,660,244,469,927,516,780,227,524,758,268,937,685,059,921,760,465,
108,942,266,899,071,558,934,146,794,481,269,354,819,406,038,479,009,719,820,
179,232,026,720,434,845,645,716,805,228,322,084,333,576,095,640,573,165,938,
748,282,369,712,308,401,159,633,259,809,054,853,635,266,676,406,185,704,791,
146,022,700,136,082,165,045,665,657,159,432,990,995,227,433,913,159,218,961,
655,471,391,692,532,334,822,749,836,064,576,425,508,844,651,669,901,996,713,
947,006,476,494,925,796,952,349,680,996,828,528,392,595,385,181,066,780,019,
096,133,700,658,501,870,908,093,042,646,619,166,984,188,528,329,218,554,592,
786,773,601,896,190,221,602,159,428,094,052,682,482,458,252,864,656,005,071,
676,077,452,928,216,473,242,413,425,931,424,793,046,151,738,156,403,638,257,
156,247,007,706,920,051,345,549,052,409,638,516,166,902,567,058,521,818,563,
775,901,758,011,341,553,420,284,782,137,719,729,120,548,379,413,840,091,331,
683,309,957,973,226,805,638,114,013,515,428,470,901,987,698,065,087,623,568,
832,325,451,739,005,439,921,458,483,687,574,556,671,686,782,357,449,155,914,
049,442,893,655,189,407,228,919,842,566,302,520,666,234,011,958,300,532,395,
988,360,026,286,043,192,008,339,241,171,431,562,417,499,439,691,691,286,499,
963,448,805,310,298,333,000,823,114,502,310,305,530,670,076,560,754,144,768,
930,567,694,081,725,434,777,648,596,025,359,972,637,878,696,395,964,677,317,
531,595,191,988,132,881,899,118,626,319,481,726,225,828,867,977,885,020,573,
477,506,925,414,677,156,476,700,694,457,079,082,144,013,969,044,812,549,949,
563,038,182,689,349,032,044,623,110,699,888,861,995,846,165,683,009,703,739,
155,247,767,756,704,552,943,609,347,891,734,424,649,538,601,647,187,974,938,
004,556,472,935,729,681,095,884,616,319,045,392,460,394,371,530,353,300,393,
146,519,327,848,473,200,424,677,091,119,577,460,931,438,732,657,413,176,568,
289,805,374,247,264,866,230,141,131,947,323,248,862,489,314,895,448,583,454,
011,120,279,265,594,829,006,406,848,061,210,372,586,301,925,705,690,831,423,
235,313,192,878,793,682,106,776,097,472,531,826,239,142,135,550,203,087,028,
740,733,567,802,689,447,340,533,828,721,776,644,802,215,326,855,778,167,479,
941,680,508,148,432,751,181,074,512,258,713,997,268,173,400,215,873,476,865,
172,919,468,585,749,701,549,253,562,932,472,632,060,611,390,541,164,121,463,
925,430,102,509,303,831,296,091,674,790,829,202,176,334,108,137,293,202,866,
298,205,845,128,224,742,621,877,725,987,373,298,750,546,664,235,461,668,342,
531,001,485,131,579,391,539,493,168,051,080,538,341,502,664,155,092,869,022,
886,611,308,699,412,454,569,405,361,580,335,884,280,683,378,726,027,969,340,
933,604,056,385,404,751,103,330,596,373,215,467,319,596,344,066,774,918,836,
322,857,856,168,124,531,784,488,035,992,934,706,774,823,977,226,650,262,320,
982,716,372,182,743,367,246,349,186,482,575,302,664,774,228,196,868,619,578,
429,527,768,326,903,124,254,239,123,730,378,258,862,095,776,176,631,693,888,
197,819,767,278,880,737,466,368,744,621,060,487,072,906,974,818,378,692,167,
385,075,534,465,536,036,211,028,723,511,495,449,255,998,754,636,279,230,454,
748,571,326,115,488,596,073,871,531,840,091,127,798,746,811,819,640,536,972,
299,723,162,720,191,705,625,573,858,078,319,327,277,835,572,075,452,776,579,
340,133,729,428,500,113,490,846,640,551,163,135,847,321,184,124,948,761,122,
492,081,846,121,579,105,145,135,821,878,528,808,929,475,156,858,080,700,303,
273,258,281,407,322,259,894,677,818,239,321,306,107,899,357,211,307,728,070,
319,351,171,155,876,813,144,729,251,280,560,838,477,649,071,410,201,619,363,
978,640,048,873,352,163,178,483,610,603,146,812,050,570,720,735,731,817,969,
667,846,642,808,409,432,524,120,900,069,239,793,327,959,499,180,367,916,067,
853,639,485,115,980,666,849,532,827,082,796,029,671,125,323,833,875,643,092,
432,367,375,395,001,698,932,554,057,612,816,302,057,249,103,812,618,304,538,
429,180,011,711,488,728,938,118,965,226,540,439,945,817,940,802,341,997,166,
712,225,073,877,467,901,412,119,991,608,332,713,132,451,071,190,927,675,834,
050,666,078,935,573,424,283,113,773,476,020,642,827,199,925,104,035,814,102,
387,421,921,100,188,677,675,338,454,784,971,994,434,291,944,864,501,681,336,
302,059,564,949,369,371,947,616,975,850,820,699,701,334,409,880,543,257,141,
501,393,900,624,324,008,949,049,132,353,768,787,637,408,763,406,249,104,870,
000,434,149,762,346,702,818,912,932,489,773,672,802,814,668,756,083,729,213,
729,290,458,493,131,487,837,958,214,014,667,110,340,611,171,481,745,080,599,
431,708,028,622,221,680,469,684,090,996,556,851,642,330,875,988,512,847,449,
232,099,213,754,507,424,610,083,578,694,753,661,838,869,236,274,259,908,167,
056,929,304,152,244,134,992,435,316,348,425,432,062,860,939,857,700,650,923,
804,672,409,187,822,656,207,834,999,822,252,615,481,208,306,425,904,553,447,
993,079,050,688,287,643,512,023,677,275,365,067,845,523,640,836,888,807,121,
046,576,540,834,100,777,306,841,304,535,763,606,048,134,730,948,971,830,252,
559,553,665,037,761,084,204,901,281,234,430,315,704,821,478,350,446,955,786,
023,652,419,704,561,594,295,917,251,236,709,746,476,122,751,471,957,207,956,
189,560,419,815,124,841,223,269,363,800,073,580,271,046,803,704,254,550,801,
399,143,839,039,079,182,362,857,048,174,352,524,397,456,212,055,153,070,733,
118,970,298,226,435,653,175,958,148,516,442,737,488,989,467,813,036,628,108,
281,790,140,182,491,943,690,036,691,842,314,056,133,254,739,967,095,952,836,
361,622,037,093,601,676,569,789,025,308,481,191,391,592,344,380,555,277,799,
876,932,488,451,393,174,565,376,878,949,583,024,521,833,530,916,683,267,075,
909,773,305,087,702,769,265,759,738,617,201,281,945,527,346,352,057,036,274,
025,192,262,403,270,700,684,942,141,214,116,873,386,264,133,464,731,556,285,
254,885,487,848,071,148,418,851,369,602,416,907,795,777,225,802,104,177,262,
138,528,496,022,403,195,666,236,855,979,732,825,426,107,805,916,257,932,329,
328,623,305,510,986,449,371,504,767,926,765,822,574,603,437,205,731,877,166,
977,699,783,265,953,117,919,615,255,788,608,993,090,824,430,860,716,966,385,
642,707,955,943,763,827,713,326,802,436,040,562,280,880,940,773,929,531,653,
507,699,654,479,957,778,763,884,715,970,902,578,531,588,779,734,829,124,839,
243,495,490,416,111,974,921,026,491,013,054,233,861,217,630,249,388,564,498,
361,031,056,478,830,646,423,727,525,749,346,449,382,372,983,790,585,521,775,
493,427,957,273,320,998,502,077,305,645,919,113,778,199,172,610,266,828,473,
140,369,984,815,775,034,088,119,998,753,901,173,923,233,200,014,968,980,862,
383,922,361,757,250,462,440,091,431,566,021,874,289,463,035,818,656,544,250,
467,398,508,853,829,964,384,851,887,577,743,639,041,850,440,035,028,753,513,
846,687,452,347,019,469,435,148,674,081,781,304,524,547,824,631,057,031,840,
418,154,452,574,032,206,062,017,073,262,965,937,008,741,784,576,747,799,421,
320,981,908,572,563,347,218,906,963,838,240,412,132,570,790,718,841,627,026,
239,390,564,231,385,956,764,789,631,623,234,691,043,846,214,949,655,263,730,
659,560,225,962,529,849,091,648,557,875,508,350,475,267,149,086,667,161,052,
541,455,220,468,805,768,941,071,904,379,215,100,555,666,526,711,516,741,314,
491,148,905,836,166,697,609,890,415,418,285,414,644,392,000,568,322,719,801,
695,125,581,817,891,321,039,371,612,889,638,976,417,637,964,530,834,318,891,
492,733,935,858,126,595,581,593,383,747,769,166,654,203,436,970,795,081,530,
748,808,508,246,771,241,607,242,685,034,837,531,243,728,668,777,410,925,132,
959,963,303,667,373,841,196,734,871,955,230,895,981,085,659,779,691,628,254,
650,821,456,015,539,671,148,413,017,974,275,984,579,452,067,255,229,481,908,
106,626,097,750,210,018,736,586,997,074,670,239,606,555,717,684,161,949,735,
064,193,973,720,205,829,685,745,242,830,744,120,849,319,940,945,855,291,473,
448,415,336,336,573,015,442,601,445,172,006,050,688,117,858,277,264,709,564,
374,265,169,048,830,831,404,746,044,018,120,507,841,174,185,492,848,043,881,
585,343,921,073,006,610,988,015,413,729,220,894,258,767,720,467,484,245,605,
187,247,803,410,648,163,095,442,642,373,566,757,971,472,713,837,273,933,731,
243,552,386,550,277,223,850,956,116,264,933,848,945,481,062,954,201,371,134,
575,285,630,127,874,840,869,439,807,168,051,238,730,349,228,642,396,158,997,
942,270,491,803,207,655,264,702,170,240,607,652,194,444,276,154,877,351,132,
165,566,068,183,595,883,489,242,425,951,779,149,214,849,254,033,968,543,443,
517,589,600,560,629,050,873,691,827,876,439,029,640,700,209,474,709,541,515,
546,945,004,930,876,713,580,072,320,388,559,301,201,426,093,604,490,423,151,
852,401,148,088,540,922,937,514,295,453,748,077,220,822,694,991,446,048,164,
568,510,519,542,824,500,933,491,995,048,598,962,595,356,690,977,019,659,671,
997,352,011,750,912,774,719,211,580,124,658,804,121,907,967,055,379,821,130,
000,546,942,422,715,224,296,837,391,997,215,251,406,936,615,217,691,289,899,
199,478,566,269,441,401,279,879,577,300,677,679,665,464,471,414,111,213,094,
226,494,469,697,470,497,788,240,389,495,883,637,837,238,376,626,065,326,471,
561,069,338,150,181,655,273,743,308,245,246,835,295,349,614,293,174,399,945,
191,322,965,308,369,785,780,015,588,139,461,543,800,798,149,978,454,657,236,
648,303,375,239,661,557,660,840,466,083,246,609,054,137,416,365,482,130,327,
414,850,492,275,170,352,620,738,116,038,053,105,681,540,973,734,601,839,115,
246,742,951,967,132,547,745,653,754,311,786,223,290,568,332,399,783,404,783,
231,001,938,763,829,974,954,177,925,312,887,137,345,601,659,635,187,982,541,
544,855,525,828,048,088,616,392,156,368,755,818,723,548,334,593,822,167,802,
168,380,309,958,679,654,441,090,953,615,408,730,676,407,494,810,565,005,645,
874,175,018,525,049,929,717,537,734,480,289,824,016,519,518,661,085,700,007,
744,750,880,420,969,193,109,344,918,510,754,543,237,977,645,314,064,989,657,
019,650,600,812,185,696,284,812,171,896,272,039,055,891,871,259,051,814,564,
287,736,854,939,154,134,401,628,527,434,422,840,792,934,840,211,414,578,115,
009,044,835,235,480,262,300,167,644,249,761,601,592,705,762,886,426,889,419,
772,904,854,733,541,085,867,242,878,177,155,565,401,942,498,505,171,141,005,
787,243,332,114,044,944,215,302,379,968,908,916,067,369,289,935,934,174,913,
059,513,134,109,697,637,370,190,942,179,129,351,345,141,662,209,808,265,833,
502,364,486,753,553,760,828,240,860,900,852,240,251,491,327,985,258,978,658,
286,975,218,336,648,919,872,214,209,757,019,629,297,505,822,904,598,510,239,
682,377,555,955,792,556,383,640,365,104,945,518,796,097,043,129,820,180,039,
919,828,823,406,556,440,520,716,246,846,235,560,989,429,799,598,470,974,102,
311,394,717,515,950,990,599,802,628,624,493,436,370,801,826,232,411,911,178,
569,952,019,879,583,848,695,133,736,979,474,536,351,034,784,000,825,166,821,
848,897,617,528,620,623,084,565,619,675,741,969,809,545,161,880,926,391,139,
834,668,444,441,172,812,555,085,442,840,957,789,721,904,018,791,110,205,982,
165,058,205,934,299,963,240,040,538,819,281,362,412,788,583,450,460,511,522,
596,398,156,189,426,219,100,930,434,505,353,033,332,975,928,086,733,970,506,
923,938,914,211,474,163,522,137,119,139,516,242,644,367,300,984,685,760,227,
356,242,616,044,656,936,858,267,689,907,263,160,546,004,709,889,938,987,794,
911,227,361,420,246,261,722,662,995,377,190,023,420,600,826,236,083,644,947,
144,055,620,601,593,824,515,027,344,710,467,794,499,160,770,519,696,248,780,
459,105,026,007,980,311,907,386,262,678,043,447,929,530,342,586,947,604,544,
434,040,979,342,351,443,325,743,151,646,762,749,178,645,501,954,119,496,607,
812,166,821,461,395,735,716,723,950,673,098,435,967,154,654,797,259,381,030,
762,239,497,008,236,884,895,298,169,521,598,257,740,680,120,639,652,340,257,
183,731,253,313,020,001,579,032,446,678,287,291,148,912,948,694,722,638,500,
954,409,056,919,728,904,624,321,664,591,635,497,307,801,147,801,993,158,958,
323,107,042,321,292,481,181,159,968,243,505,269,793,013,562,819,254,955,964,
807,138,159,694,724,027,856,896,701,335,821,482,400,655,159,559,595,092,749,
777,870,587,243,354,984,536,800,455,951,881,949,456,704,141,135,641,588,994,
443,817,594,901,134,112,391,574,404,134,236,038,311,995,896,498,320,580,429,
379,540,646,316,492,116,798,072,155,238,170,455,289,308,671,632,457,060,468,
960,978,779,275,042,407,325,233,985,289,260,481,518,529,352,905,016,324,508,
121,997,743,654,837,996,390,121,738,602,030,396,277,995,160,422,201,339,062,
351,122,976,100,897,100,021,065,805,452,588,972,818,711,780,869,319,225,161,
666,417,812,142,892,710,917,711,975,608,736,398,901,392,557,460,677,220,098,
873,881,594,544,546,892,329,241,925,281,326,375,641,424,297,000,666,566,963,
906,703,794,783,821,133,201,816,863,169,226,319,339,905,369,932,430,612,413,
967,670,740,764,158,166,404,233,235,956,011,155,981,111,505,310,867,396,570,
558,009,763,322,845,827,217,215,881,537,741,808,727,507,483,718,445,066,200,
743,372,588,294,405,653,272,299,265,648,234,807,120,172,843,238,476,537,692,
139,094,272,670,320,966,765,482,370,102,728,795,370,016,926,406,577,514,630,
192,959,249,195,951,674,536,023,718,521,594,697,448,843,430,617,197,898,823,
573,724,125,459,316,749,448,176,659,904,279,627,506,224,417,808,892,164,324,
129,804,663,558,828,170,144,229,058,618,331,155,401,489,736,999,987,502,778,
077,260,131,732,853,917,281,690,571,369,693,760,752,873,511,999,857,485,495,
607,298,621,288,926,387,807,719,935,047,764,296,119,871,796,942,111,265,828,
193,200,924,703,038,097,625,532,817,412,357,555,830,142,325,171,591,358,546,
478,806,984,858,297,304,769,648,102,733,390,911,127,430,519,900,753,025,462,
358,645,910,091,815,362,270,588,754,734,801,703,825,063,537,295,985,915,463,
453,251,361,620,884,979,851,558,736,682,707,827,322,720,061,841,715,596,322,
697,977,215,056,905,069,575,860,929,355,673,621,457,060,432,579,735,750,609,
640,226,259,170,894,318,046,742,033,337,747,644,124,870,558,621,223,117,541,
649,134,772,481,370,033,352,553,653,849,896,040,096,257,726,808,896,499,905,
705,638,746,781,658,083,429,673,388,740,140,887,323,953,824,078,866,579,879,
979,557,840,670,427,476,898,212,984,389,998,413,326,362,714,472,040,911,001,
607,679,446,707,170,561,010,754,025,787,680,437,499,349,692,434,462,790,808,
597,037,470,257,849,115,275,511,014,206,901,496,258,136,324,863,693,246,868,
141,772,872,289,502,460,718,522,367,159,772,719,248,356,426,370,316,989,057,
923,175,335,068,063,316,704,583,415,036,109,669,763,585,108,138,376,519,808,
695,108,528,348,766,980,956,296,870,973,494,538,166,834,992,351,120,584,905,
534,564,496,025,229,935,200,792,138,667,757,817,590,180,366,701,386,711,925,
691,044,611,497,048,676,679,851,917,480,727,758,845,740,643,804,082,746,130,
285,395,712,108,833,722,202,123,283,896,594,585,381,710,313,521,247,160,465,
327,551,327,476,999,327,061,121,592,218,451,999,801,125,972,160,666,993,812,
107,167,351,407,529,130,021,644,355,351,882,846,402,382,421,776,391,719,010,
507,755,965,016,780,355,625,257,013,337,756,242,154,590,224,783,366,742,221,
987,134,000,837,539,222,082,113,364,190,869,089,585,568,720,692,355,058,135,
674,734,314,957,542,908,410,048,637,758,254,477,054,063,144,821,549,467,972,
128,770,974,779,409,520,565,198,052,492,555,598,513,613,843,236,466,450,912,
222,892,600,229,767,148,455,103,234,612,198,008,182,773,446,600,070,290,074,
812,530,660,572,848,529,523,632,794,203,007,991,673,130,758,532,919,616,808,
232,292,674,531,069,205,333,059,690,322,212,215,741,225,332,843,716,663,713,
027,053,303,224,675,527,823,528,277,396,530,448,944,615,651,661,143,866,247,
310,505,876,661,689,170,346,046,190,364,614,922,177,473,065,925,265,185,394,
703,717,575,407,688,989,237,165,932,416,481,120,476,829,591,460,919,586,757,
959,626,223,059,430,425,147,338,085,638,914,250,088,941,825,254,205,727,768,
158,268,233,918,034,878,935,599,990,846,313,502,544,478,190,879,652,183,526,
095,979,210,835,814,612,110,711,099,156,710,059,087,865,942,451,065,805,793,
915,646,374,817,506,467,148,950,282,106,559,582,536,306,387,149,853,708,111,
850,346,784,775,784,603,957,082,077,645,881,277,816,244,126,542,391,279,063,
238,169,477,794,309,568,320,790,697,394,622,428,031,778,055,288,558,045,334,
234,575,262,482,473,695,098,275,601,536,012,146,606,271,808,295,105,544,805,
649,080,787,013,347,593,461,781,060,926,637,019,268,571,736,377,355,571,521,
921,034,710,943,589,246,038,898,558,719,672,362,799,417,765,514,573,584,129,
051,463,375,936,076,500,333,824,326,940,901,761,595,738,119,430,764,307,680,
935,089,051,008,991,786,617,140,502,258,481,117,727,227,218,236,439,650,300,
870,449,981,146,227,664,481,333,121,850,889,984,066,665,083,281,360,570,271,
540,645,849,600,003,455,664,865,624,473,073,576,482,575,205,240,137,397,615,
519,125,777,864,819,515,806,766,426,519,506,835,040,472,431,926,793,509,487,
128,524,119,809,816,006,186,390,339,039,545,365,975,478,202,376,626,716,934,
056,401,105,429,697,840,455,246,266,610,105,289,647,528,869,501,227,772,451,
402,567,070,076,240,526,612,128,199,577,364,943,179,100,101,575,723,625,953,
320,449,750,356,786,386,475,021,185,447,489,463,818,218,914,709,219,370,273,
045,677,288,419,485,560,716,505,036,434,723,373,431,485,599,064,940,415,477,
638,965,687,374,724,517,029,974,341,396,806,521,946,786,251,978,837,457,846,
440,556,057,571,717,382,230,042,443,543,410,167,025,116,388,609,526,090,334,
978,082,624,764,647,178,014,313,621,027,592,316,618,561,559,989,869,745,867,
028,797,103,957,366,933,246,074,366,453,479,989,133,768,465,090,574,963,467,
931,446,887,314,361,375,467,018,856,267,623,390,070,612,529,161,426,894,459,
671,262,786,812,933,440,963,715,993,813,932,578,911,967,976,458,877,222,079,
959,905,292,597,639,091,920,048,919,037,649,012,471,641,264,234,255,688,494,
466,619,327,918,055,705,818,748,521,477,236,509,245,638,919,175,707,422,204,
439,368,782,924,655,548,582,470,459,290,148,994,740,524,549,586,261,046,732,
480,240,183,762,871,006,690,502,601,175,158,755,104,168,625,110,477,902,977,
280,606,728,991,973,241,247,742,587,418,313,896,194,388,643,235,797,256,024,
632,485,380,120,327,847,723,321,725,594,568,268,456,977,957,144,258,956,177,
580,122,100,656,303,363,500,477,724,953,459,316,670,753,016,687,288,441,386,
520,975,295,279,493,180,523,927,805,134,675,780,028,604,360,184,280,624,361,
331,685,745,397,172,937,978,282,868,766,685,117,790,313,044,047,564,191,540,
094,275,608,643,095,282,687,031,762,840,173,815,403,768,985,102,988,107,090,
042,208,571,109,344,884,337,636,671,937,168,667,002,239,994,278,856,824,810,
475,389,192,856,556,051,087,306,712,063,573,522,909,581,640,237,853,561,546,
273,263,055,500,458,290,571,932,751,037,524,120,837,376,416,159,961,581,671,
734,534,911,006,942,158,309,474,226,304,032,783,935,271,468,942,159,190,222,
076,666,016,844,159,236,135,015,424,740,349,279,339,332,509,200,711,262,581,
901,251,869,179,372,512,261,494,023,988,001,681,888,622,444,896,956,527,967,
854,316,808,432,234,859,167,923,977,351,547,891,158,587,346,065,527,239,623,
665,255,465,508,031,585,153,209,480,553,325,298,599,081,009,907,856,026,735,
822,449,934,678,644,040,806,669,258,239,513,453,943,626,185,441,106,315,317,
699,624,923,886,223,806,504,007,265,954,256,373,940,704,049,528,488,668,776,
796,268,853,204,645,808,655,603,712,835,389,469,457,158,543,244,815,698,588,
570,120,476,830,599,407,643,305,441,784,630,540,958,578,236,682,604,273,058,
719,472,613,560,598,773,990,395,376,426,315,260,661,988,545,788,106,282,084,
406,795,057,582,092,887,256,999,125,923,007,578,507,202,550,269,865,453,147,
144,934,136,875,736,634,896,986,078,643,798,636,193,758,137,002,596,633,283,
182,092,870,114,262,218,581,625,131,556,275,132,488,316,745,613,966,746,599,
658,613,505,937,680,930,642,590,751,746,198,278,924,750,080,221,931,097,087,
626,749,999,322,010,953,552,162,569,802,960,940,735,458,541,159,625,080,179,
633,751,492,825,315,031,572,590,585,992,501,379,434,576,170,376,061,006,596,
577,883,188,311,835,866,343,581,743,289,564,333,692,909,706,208,508,950,233,
950,058,785,147,376,446,004,291,136,143,017,417,941,148,951,020,646,791,133,
482,094,517,636,371,863,918,096,540,254,962,554,299,913,180,711,606,605,879,
145,885,629,750,575,359,121,799,516,666,782,701,689,664,498,671,812,340,786,
409,522,782,370,048,872,388,024,071,875,895,553,641,800,134,235,095,523,225,
863,460,875,546,816,479,177,759,933,431,219,079,725,141,673,550,988,289,121,
554,276,230,926,899,095,161,843,291,363,705,041,671,475,398,063,617,579,165,
394,828,353,448,459,913,318,946,947,068,508,877,530,423,529,543,711,899,902,
874,383,618,761,689,140,482,170,214,531,969,237,351,214,289,555,750,078,106,
652,499,520,121,849,343,945,368,373,283,848,366,615,860,321,914,295,537,230,
692,102,137,240,850,438,058,787,524,155,402,554,732,766,280,252,361,966,839,
621,458,039,618,251,841,505,670,150,392,537,205,492,979,808,706,463,355,857,
944,712,877,636,186,483,648,472,912,932,384,913,920,324,344,091,521,814,608,
580,851,561,953,455,759,809,003,003,326,694,475,757,696,987,085,431,467,279,
528,928,838,129,024,430,359,623,445,311,531,487,497,129,920,442,136,893,918,
188,595,834,618,041,510,708,078,734,552,015,533,151,501,139,809,175,818,287,
653,568,884,734,648,694,148,203,160,651,053,487,751,114,248,926,576,925,810,
977,426,134,713,260,538,421,101,311,262,116,729,798,184,822,566,723,058,261,
192,245,929,376,307,953,798,126,814,952,020,972,437,226,428,792,006,881,162,
498,471,843,846,782,179,994,438,491,711,316,565,154,839,949,775,261,386,217,
962,988,863,064,943,319,756,118,867,214,014,149,772,567,372,342,492,700,085,
532,682,267,572,021,158,686,663,299,452,126,293,080,947,535,185,836,267,817,
615,409,208,105,185,981,674,699,727,004,229,615,793,740,990,185,565,134,488,
355,196,642,252,886,517,937,821,001,372,383,702,409,327,062,635,334,159,414,
763,900,651,462,399,674,171,404,694,348,401,095,354,398,375,475,991,158,532,
906,479,303,949,555,116,514,903,440,690,150,015,142,718,872,339,444,524,211,
587,375,739,784,965,220,823,951,271,028,105,050,519,558,186,130,005,994,665,
222,310,216,321,802,301,291,533,770,433,753,231,617,622,512,755,519,619,891,
619,921,859,595,483,175,941,709,672,502,410,075,741,491,217,211,786,447,122,
438,230,157,007,547,240,552,636,270,956,148,972,544,597,103,913,242,629,873,
444,576,689,736,301,906,080,891,251,473,003,769,077,591,697,117,570,806,286,
968,091,009,190,451,178,230,553,774,201,230,035,746,092,299,906,643,389,066,
376,016,244,011,262,869,153,292,673,815,347,232,960,427,384,718,329,439,060,
751,641,319,126,345,969,633,155,637,099,243,128,393,051,289,605,407,647,589,
062,215,064,676,663,337,734,886,040,432,985,542,447,314,212,381,709,585,470,
452,904,818,994,134,057,228,876,550,679,998,253,794,186,201,553,014,493,591,
718,711,420,744,463,596,888,207,877,668,941,027,354,686,698,009,979,551,537,
439,713,228,502,011,053,065,142,377,072,195,195,383,422,195,172,481,367,855,
770,386,152,004,122,514,804,217,973,437,661,685,182,498,300,282,721,143,270,
846,311,978,226,521,746,601,057,620,440,119,801,065,248,015,740,492,287,925,
679,746,030,402,279,101,912,845,613,012,803,202,659,300,829,023,648,345,634,
388,005,412,841,360,769,925,901,012,246,902,550,564,429,025,278,718,227,004,
498,042,130,621,339,936,387,322,609,072,542,620,838,660,029,392,285,434,273,
674,857,484,507,044,276,274,655,599,945,250,251,073,731,486,287,730,750,573,
689,220,067,309,146,435,613,390,339,661,486,121,620,064,107,980,603,665,465,
057,286,120,226,882,732,462,845,240,526,691,623,819,643,157,794,006,108,663,
727,897,422,644,524,629,754,601,536,511,544,161,661,087,997,052,017,224,846,
036,494,611,615,097,007,766,891,916,091,428,809,566,180,313,378,687,173,898,
128,928,447,726,955,659,451,308,301,260,634,580,255,661,529,183,086,124,293,
336,937,914,528,203,996,643,850,929,170,721,515,993,646,096,010,929,201,003,
216,863,820,463,571,598,689,334,840,002,802,809,750,574,092,674,365,589,973,
184,445,526,731,031,336,244,829,377,768,983,011,845,835,431,527,327,847,538,
241,902,243,170,188,461,014,422,263,848,660,108,321,011,863,714,983,127,709,
688,773,118,997,329,401,037,991,311,608,817,325,894,611,591,281,351,962,832,
332,158,876,965,191,243,725,977,846,351,761,394,936,765,085,132,969,987,450,
629,903,460,461,297,963,359,753,826,636,288,383,099,318,447,726,802,294,876,
520,723,264,247,770,094,328,755,200,978,074,840,055,179,685,851,925,848,771,
888,170,205,519,981,125,250,689,083,548,178,200,977,342,550,417,131,862,829,
961,585,753,222,207,841,101,857,480,223,124,113,384,742,953,794,222,979,378,
978,701,304,615,539,362,387,011,805,378,279,103,531,333,069,447,515,827,015,
567,851,107,942,796,590,607,839,744,076,620,520,512,920,861,848,533,288,896,
826,314,949,213,667,971,821,535,847,920,233,505,956,204,113,355,879,071,191,
708,976,005,383,274,932,951,106,630,952,624,572,375,704,709,668,741,229,581,
952,145,835,069,943,077,901,238,199,583,151,352,188,736,385,078,004,428,713,
353,685,439,954,850,075,136,738,798,421,267,463,208,393,499,346,002,903,032,
546,470,427,441,776,083,445,881,385,969,754,523,489,901,988,094,108,907,900,
095,043,796,584,927,283,356,966,114,768,727,051,880,909,242,207,445,464,555,
094,433,631,709,086,078,978,483,735,540,888,478,082,115,328,964,872,396,768,
716,825,305,380,260,772,456,577,643,090,171,303,090,805,130,152,825,827,075,
040,037,686,987,242,564,501,470,721,514,069,540,071,973,161,300,220,082,299,
625,190,395,711,713,950,058,011,389,007,961,107,205,768,388,508,011,544,176,
774,000,881,152,983,337,636,534,162,345,141,169,526,360,574,239,909,363,491,
166,646,996,472,375,553,597,516,588,000,866,132,455,418,361,039,758,108,698,
843,860,013,218,959,253,515,891,243,311,260,624,577,474,664,095,880,240,972,
814,748,881,174,837,024,027,419,247,443,206,116,828,472,366,945,817,148,336,
078,508,128,006,281,081,977,442,393,519,998,432,682,901,491,853,873,042,747,
559,478,022,981,005,171,827,596,859,322,799,797,959,022,391,970,222,094,423,
923,377,722,751,487,908,388,950,776,018,830,059,385,549,504,393,998,710,028,
744,705,661,913,750,223,024,179,831,425,904,606,876,011,348,926,694,726,762,
582,376,043,038,380,073,774,733,121,571,627,628,690,095,302,897,364,681,095,
196,675,202,334,110,808,435,570,330,674,840,314,599,926,100,471,608,046,419,
893,888,461,246,695,658,398,651,384,635,645,685,369,971,101,985,369,159,762,
047,776,294,043,577,911,630,941,303,678,406,123,578,192,395,184,779,779,486,
364,832,660,748,459,158,616,114,746,967,125,868,545,892,054,302,381,274,009,
541,227,200,430,979,976,745,604,213,500,810,310,070,799,430,336,127,461,468,
296,063,493,995,787,131,362,495,393,755,630,193,345,687,675,971,058,711,998,
279,655,244,822,422,325,846,638,035,610,169,575,705,136,919,278,742,663,236,
776,439,491,948,806,212,683,589,669,646,479,452,382,116,193,948,044,462,483,
525,325,352,668,734,466,206,575,819,983,546,391,838,893,184,333,021,012,279,
402,147,363,728,827,144,784,931,061,439,537,615,292,004,302,688,137,563,867,
127,162,935,819,642,546,395,714,528,652,206,526,293,724,381,126,985,577,508,
669,755,299,818,051,437,999,841,207,939,368,329,036,966,247,990,902,148,463,
953,910,744,550,709,296,062,189,421,710,004,745,832,300,466,246,535,902,143,
719,068,660,559,290,758,832,635,452,582,244,781,076,355,294,290,305,444,844,
495,235,216,650,031,166,070,690,698,479,772,276,465,947,168,670,350,727,227,
553,017,894,556,912,011,990,543,491,256,971,465,341,887,989,637,380,627,129,
434,002,855,422,966,134,811,921,891,701,971,792,554,790,505,567,282,709,466,
851,381,675,403,603,353,445,383,807,506,051,326,455,484,807,797,845,965,519,
634,144,374,503,182,341,456,503,168,565,506,650,858,708,944,629,740,916,323,
896,343,676,601,011,459,863,448,910,939,178,000,370,703,376,240,374,745,127,
456,406,899,392,290,655,962,895,979,551,587,820,319,193,480,512,616,267,998,
550,312,397,433,646,735,307,909,987,277,166,496,021,135,432,598,067,027,442,
388,077,161,103,050,057,838,014,010,357,573,506,318,810,607,625,215,904,884,
033,476,081,848,497,484,378,436,859,280,799,610,812,065,574,691,649,414,138,
959,182,043,359,840,939,144,627,590,544,469,941,531,630,846,585,644,570,465,
107,402,568,898,355,922,268,337,316,709,020,348,537,851,906,361,920,152,471,
560,107,164,958,628,656,413,236,822,026,741,249,637,155,246,060,506,369,515,
063,510,520,726,268,828,877,575,820,494,052,547,827,538,651,258,765,019,962,
202,422,952,228,608,410,008,121,284,101,182,641,762,553,176,568,681,573,166,
771,900,242,236,881,756,001,150,694,105,773,323,342,129,241,747,261,505,135,
712,781,979,991,055,030,062,790,041,918,020,578,136,327,328,247,094,888,058,
951,267,005,339,155,501,518,561,719,742,277,284,460,211,667,945,410,004,951,
708,130,441,981,120,191,366,240,016,474,482,535,171,755,627,488,874,844,661,
119,540,431,865,871,702,238,904,661,131,254,319,671,892,795,834,488,732,807,
478,894,507,570,217,591,948,789,886,080,630,823,984,441,429,292,925,088,235,
808,002,802,271,722,718,954,040,826,394,381,151,971,929,052,743,130,034,742,
507,640,552,947,485,506,187,179,383,145,062,683,549,951,732,971,029,950,896,
352,815,682,738,144,097,974,251,042,667,238,022,845,859,483,888,633,195,366,
873,974,315,029,969,899,524,924,303,256,526,746,855,787,234,405,970,364,385,
957,009,665,692,936,127,767,076,181,324,214,583,070,625,292,506,472,311,372,
179,679,076,946,576,482,528,523,897,422,499,220,449,689,672,125,471,865,199,
494,901,434,579,806,768,580,344,350,114,518,023,815,157,398,039,955,823,414,
718,287,276,557,920,751,515,164,532,361,074,538,166,666,257,876,315,056,262,
279,604,014,406,633,485,543,316,399,506,021,383,493,385,794,751,176,667,399,
129,999,147,842,807,031,657,446,382,512,785,809,710,244,399,926,020,974,946,
322,255,315,232,069,038,020,987,708,922,231,165,252,220,726,062,118,564,889,
323,803,897,014,811,909,772,842,108,567,038,259,396,161,427,572,713,303,336,
624,284,645,749,323,230,600,767,218,257,821,000,538,798,744,836,408,098,469,
933,698,485,616,476,881,479,483,322,350,466,135,121,464,815,521,670,509,896,
142,592,602,016,841,505,382,773,300,729,464,407,092,055,493,658,452,561,813,
626,165,121,994,222,283,891,822,985,789,055,046,424,220,924,535,315,212,597,
480,353,761,562,047,377,821,478,192,228,757,286,029,638,753,784,968,098,410,
584,658,295,523,537,438,006,811,820,657,503,449,744,505,666,335,548,000,436,
013,659,664,191,934,033,797,106,466,843,742,742,646,853,105,653,093,767,691,
390,355,269,890,649,140,080,598,587,266,962,898,576,644,652,950,396,633,001,
604,967,878,259,796,436,478,666,223,442,382,994,365,412,046,220,967,562,328,
870,743,794,516,974,715,329,517,787,474,013,657,048,757,927,484,696,967,973,
804,939,478,774,118,664,856,532,598,859,972,262,985,205,436,526,590,291,308,
554,971,068,029,531,510,307,834,154,023,257,300,867,706,666,115,547,597,158,
003,541,103,909,036,561,323,622,275,900,649,664,949,806,684,975,295,334,873,
804,402,145,231,166,206,932,459,763,009,059,513,276,557,385,026,962,192,605,
475,067,273,306,857,487,292,500,143,718,128,894,149,132,574,504,003,575,229,
867,580,401,715,345,651,327,426,221,274,301,692,393,592,261,476,507,842,141,
245,856,723,689,103,519,116,802,875,952,952,635,500,678,373,654,888,176,474,
010,479,419,931,606,512,768,719,445,647,043,504,105,237,024,700,591,546,948,
849,090,198,242,698,825,344,591,321,227,527,170,858,322,106,338,309,367,898,
250,975,098,684,365,138,089,610,982,363,772,116,383,277,141,406,393,635,840,
317,259,824,559,746,871,350,755,750,235,102,781,362,200,488,871,083,381,801,
535,058,678,270,620,102,048,711,710,530,717,804,010,938,214,122,902,973,788,
394,714,870,137,899,056,971,917,136,805,595,598,379,008,196,596,024,265,395,
425,661,102,072,318,614,117,973,571,109,171,235,106,399,094,971,696,035,649,
512,922,538,392,560,858,150,935,832,251,209,461,049,196,030,849,375,984,079,
759,519,464,153,679,983,261,367,861,597,433,680,215,796,583,639,041,171,672,
094,036,698,308,946,264,282,822,536,681,221,080,049,818,652,122,725,094,838,
274,161,462,629,024,077,208,154,773,871,749,537,535,846,507,510,684,146,060,
577,587,931,348,400,021,913,354,761,262,325,973,317,432,212,408,949,720,677,
070,850,592,546,755,760,746,517,647,163,933,454,406,937,102,784,986,646,507,
088,168,646,365,364,573,031,186,187,278,923,754,634,880,706,302,681,689,764,
298,249,075,725,450,911,157,191,796,987,168,257,933,593,926,089,392,953,444,
673,236,700,505,716,877,362,217,165,904,333,672,090,968,704,196,372,886,394,
747,097,570,207,796,545,076,048,170,707,503,775,394,599,806,091,948,654,824,
500,721,632,333,277,325,256,512,875,995,824,591,839,309,400,607,532,839,605,
369,540,052,780,234,144,937,361,781,494,163,291,858,255,084,021,700,531,703,
357,853,766,833,290,039,323,437,734,089,037,760,520,598,292,340,153,848,005,
151,350,390,253,334,352,195,583,479,482,878,730,554,841,747,827,442,911,836,
712,905,312,604,050,744,067,761,423,263,125,169,590,344,214,191,570,420,468,
863,011,757,162,288,439,438,198,897,770,515,926,613,429,762,829,755,335,473,
984,513,402,899,179,417,701,520,431,609,867,565,968,869,022,363,302,338,122,
117,377,080,656,612,895,176,870,462,354,625,383,976,065,114,296,263,020,320,
264,264,956,872,943,247,261,973,570,787,094,022,761,600,863,045,649,605,337,
940,848,925,658,286,237,822,534,096,228,205,990,786,541,775,039,047,689,071,
695,941,485,433,259,037,894,261,600,758,528,242,474,788,310,629,158,487,281,
586,384,282,257,029,556,187,240,642,767,592,188,195,413,227,297,490,057,434,
012,997,257,761,995,269,769,053,077,958,322,398,658,957,857,824,531,695,977,
458,771,720,622,212,060,741,726,899,852,252,610,279,494,026,835,829,350,965,
491,196,498,610,495,164,303,353,871,401,115,120,693,576,841,529,439,773,773,
410,399,531,173,919,656,575,606,346,113,443,779,970,947,167,188,517,239,740,
455,810,269,419,003,092,001,807,420,961,050,715,282,715,842,011,070,396,993,
800,271,311,907,850,900,282,276,725,630,932,530,593,801,589,883,217,054,758,
903,030,505,974,441,261,637,750,161,350,280,976,127,988,816,717,806,518,658,
696,981,865,429,718,912,723,182,481,294,200,663,284,757,986,002,486,759,471,
876,243,893,509,592,733,407,704,957,643,958,615,902,749,013,876,652,850,994,
693,595,396,539,003,179,699,994,359,177,509,153,745,962,594,511,990,506,197,
017,350,886,771,996,760,202,523,106,337,818,599,101,201,467,651,667,505,566,
115,984,573,988,958,686,992,274,099,215,812,150,354,509,970,957,159,380,135,
482,465,301,088,497,189,281,596,153,115,652,441,008,827,671,951,414,270,095,
453,509,862,997,655,456,609,055,325,903,472,867,953,885,630,887,625,699,147,
348,993,948,935,498,509,272,980,016,033,574,149,956,635,971,995,755,742,279,
909,003,227,182,209,146,750,855,162,656,915,666,775,019,144,944,345,082,875,
914,049,048,685,244,273,917,296,664,448,286,428,261,816,909,331,330,411,682,
991,148,937,911,740,006,589,634,288,572,249,837,470,003,223,760,184,916,164,
228,193,111,451,893,778,084,926,262,475,657,535,531,471,181,432,050,115,883,
733,044,315,948,961,329,822,012,372,320,217,715,064,524,918,869,618,439,758,
467,369,597,990,924,295,960,524,631,960,178,816,157,214,686,087,309,136,751,
723,673,172,335,105,829,647,890,599,556,538,770,493,328,993,134,036,736,291,
482,168,080,018,803,785,241,978,121,716,600,661,572,184,919,581,390,377,458,
006,969,275,030,636,186,627,721,946,516,657,769,710,159,140,125,747,344,299,
989,839,826,360,789,364,596,564,312,089,053,023,284,009,697,280,071,151,845,
834,239,376,500,073,086,512,683,081,860,606,270,886,972,122,385,862,023,907,
042,780,561,668,331,465,380,571,098,832,852,727,997,829,027,352,706,617,622,
811,132,260,612,527,614,870,619,488,287,457,237,177,109,558,624,215,698,935,
252,999,045,988,324,883,838,288,438,609,793,313,460,943,140,988,632,067,644,
008,867,695,740,517,356,648,088,824,759,906,078,227,462,262,424,561,106,178,
138,589,046,698,091,640,131,898,801,372,541,105,978,600,754,964,997,692,481,
714,001,699,429,450,115,391,424,301,046,927,137,015,302,725,903,306,017,948,
163,157,681,540,334,906,521,784,746,946,307,673,081,182,332,585,252,644,876,
592,054,665,918,286,475,462,728,231,911,417,546,668,540,518,895,018,201,400,
453,124,462,181,318,442,466,998,453,672,956,573,915,218,821,704,299,238,578,
832,473,585,592,581,262,506,267,208,388,138,652,922,556,881,139,557,589,455,
362,972,014,979,452,668,829,931,097,685,516,202,169,303,777,947,364,109,976,
779,872,081,875,750,726,580,110,431,949,167,355,055,350,333,531,693,128,701,
859,874,814,832,708,538,079,108,477,125,968,032,341,906,088,089,753,273,832,
466,041,208,495,188,359,003,048,554,840,459,035,449,056,591,393,386,370,267,
448,399,917,013,445,622,158,772,699,681,665,780,380,735,442,939,977,965,960,
397,581,691,996,082,364,620,105,968,570,261,989,212,079,522,653,283,511,148,
553,454,295,663,646,073,328,725,602,836,306,105,054,554,941,778,617,015,636,
468,048,340,526,464,619,459,895,451,238,527,573,360,289,858,403,770,131,697,
575,895,880,194,216,629,580,235,743,989,597,953,990,367,635,537,082,931,913,
580,246,293,520,460,666,861,381,261,910,723,597,843,569,684,058,265,526,171,
588,155,274,122,999,332,498,340,583,584,884,777,124,649,268,117,467,780,762,
301,446,977,321,530,572,925,525,077,769,882,253,159,436,499,192,400,355,554,
637,320,218,677,379,881,260,244,036,652,934,237,849,812,211,162,820,661,824,
231,820,672,647,471,837,944,160,689,382,660,308,589,123,930,701,181,805,178,
593,639,077,971,078,415,418,202,098,770,183,457,648,524,833,871,646,107,077,
965,817,140,937,596,409,593,948,635,695,074,452,469,276,437,187,652,741,567,
175,513,243,503,266,836,505,674,676,991,198,716,263,628,214,645,787,543,713,
523,505,752,235,182,487,382,021,627,277,890,650,747,417,193,129,998,229,003,
691,388,221,102,058,207,852,819,274,696,335,447,771,054,404,895,372,584,055,
050,233,466,482,889,901,527,375,405,141,429,745,403,961,707,409,800,908,300,
337,922,320,542,077,192,601,113,043,503,097,361,405,872,541,335,745,354,930,
172,244,453,035,179,578,385,700,628,457,594,192,980,283,667,823,002,778,512,
928,864,257,047,488,771,670,691,720,117,588,761,279,014,660,852,539,387,656,
882,219,047,113,507,491,006,743,413,079,830,738,696,388,823,912,717,902,956,
466,258,226,694,225,720,921,896,079,376,405,950,822,596,038,249,733,967,779,
465,947,998,216,042,298,105,173,445,944,425,600,158,130,095,965,633,181,584,
751,162,238,716,474,442,850,834,016,706,491,497,852,860,681,308,758,387,017,
377,097,060,796,882,402,683,405,495,091,345,447,618,612,141,154,026,406,411,
874,837,078,908,767,572,398,932,579,286,977,270,308,880,731,355,228,589,570,
395,679,121,491,022,237,597,170,674,131,168,233,626,711,728,008,404,038,741,
726,042,969,774,422,228,033,155,364,084,160,509,042,441,780,069,249,155,490,
766,827,434,538,963,052,823,030,701,135,670,459,183,127,986,735,764,266,833,
343,933,029,681,092,456,095,409,938,076,970,165,197,817,635,330,438,209,116,
027,312,108,751,701,021,919,022,410,944,780,831,938,648,348,047,688,626,079,
679,573,744,470,645,462,395,467,941,445,380,763,330,867,132,541,975,221,260,
179,838,832,390,141,754,475,858,023,058,512,541,625,516,770,815,885,875,588,
670,616,253,028,222,500,300,961,266,419,966,746,131,382,625,791,996,895,691,
605,973,699,269,758,804,731,095,116,424,279,970,447,089,385,433,958,979,000,
012,699,584,391,633,077,441,787,356,761,418,413,771,002,361,157,898,053,110,
872,484,692,580,822,788,578,603,227,042,582,906,776,262,233,386,896,048,588,
589,922,923,373,277,736,452,857,466,239,444,246,813,779,334,995,642,504,917,
930,170,426,621,897,636,061,623,686,514,341,248,226,458,195,325,565,963,546,
738,201,765,506,879,751,860,188,519,368,749,772,462,839,848,062,189,265,096,
280,893,512,929,892,588,094,543,043,972,739,562,786,887,672,375,717,905,992,
650,998,364,062,308,091,292,407,408,595,637,067,708,840,297,480,681,079,271,
300,623,191,078,677,298,243,197,203,531,264,460,797,324,213,895,134,890,262,
547,075,839,411,682,783,906,970,267,358,428,062,743,939,889,965,193,404,599,
849,749,411,984,073,535,030,029,393,691,896,793,576,893,419,567,226,918,685,
004,466,732,360,655,561,940,135,960,768,125,711,173,793,148,481,499,154,142,
332,880,572,068,679,013,549,970,124,246,948,748,117,835,848,607,233,003,177,
421,369,140,856,779,293,575,123,352,843,608,507,197,765,518,183,265,099,237,
539,606,480,487,465,801,952,564,199,867,160,705,652,948,496,031,215,173,316,
509,347,804,919,955,213,297,497,091,130,689,948,775,289,717,031,533,188,251,
527,624,069,540,972,087,066,304,465,639,208,788,382,038,259,365,421,260,558,
572,597,953,361,543,897,007,119,910,948,657,608,875,820,358,598,619,362,300,
064,941,695,588,913,782,804,161,555,399,911,589,133,189,963,832,872,890,754,
266,681,840,086,027,614,802,044,524,587,542,606,223,170,762,179,478,745,359,
637,033,504,401,886,424,505,830,331,201,767,633,576,194,510,405,149,967,375,
407,521,388,433,691,029,417,407,703,097,101,367,238,738,121,801,909,152,041,
103,910,897,971,095,050,778,643,474,957,900,402,499,998,873,286,719,943,420,
636,894,402,801,619,843,023,861,018,483,256,994,254,860,065,509,592,726,293,
566,171,725,660,839,977,046,360,892,907,293,565,049,337,602,278,650,391,368,
092,753,183,043,874,693,235,027,160,941,886,061,553,330,027,933,651,225,052,
425,743,319,706,104,798,420,877,071,495,769,569,185,369,409,508,813,848,215,
874,013,580,000,543,026,823,113,992,755,422,747,594,142,788,804,876,279,423,
324,787,021,255,426,768,684,188,685,191,441,325,955,719,283,524,071,244,482,
360,792,602,248,271,438,653,555,444,658,479,606,680,840,990,721,834,705,294,
444,471,318,577,503,644,439,715,149,324,530,907,899,979,011,413,154,064,498,
432,212,880,413,126,375,546,273,565,729,124,079,551,429,341,990,224,572,676,
710,535,532,101,187,077,082,254,831,063,596,978,542,487,346,122,766,484,422,
266,539,643,380,406,765,702,092,893,715,330,750,746,187,038,847,146,146,038,
574,622,158,711,877,124,402,120,030,456,713,189,114,688,240,677,918,071,791,
510,162,066,718,884,581,958,443,674,799,425,034,206,614,923,520,405,767,013,
480,990,725,808,506,541,270,960,459,860,022,587,705,994,784,723,460,737,915,
653,622,395,672,464,954,529,556,486,879,975,135,544,660,366,815,578,037,221,
056,769,561,735,706,411,868,131,808,792,760,291,975,167,424,040,443,255,515,
640,025,413,917,078,537,904,905,242,421,383,033,532,425,066,249,066,790,690,
261,362,776,624,760,326,042,631,075,738,300,006,402,550,065,829,282,222,912,
023,118,737,251,065,232,392,457,348,134,806,168,646,459,806,193,256,661,378,
065,805,017,689,109,281,837,744,479,091,275,197,592,061,629,708,572,971,252,
710,730,752,574,833,077,335,551,182,938,793,832,535,332,338,603,381,802,310,
547,451,188,615,490,143,305,218,102,750,608,860,902,341,995,093,553,886,313,
432,780,029,916,530,944,797,128,497,410,490,938,810,521,432,288,162,325,959,
024,095,023,371,933,041,388,006,601,734,871,039,040,748,401,327,825,363,486,
134,694,243,385,426,144,750,700,610,266,120,816,625,193,273,495,711,526,176,
565,430,877,278,848,574,737,644,613,464,760,989,212,506,908,097,844,441,551,
328,045,380,059,513,714,407,373,345,144,596,952,224,294,962,065,685,725,986,
303,496,711,160,259,991,099,828,291,208,073,266,963,160,440,657,933,280,424,
744,459,035,938,285,225,643,558,292,359,114,501,170,300,901,478,347,661,076,
379,408,521,850,577,829,028,940,893,040,821,376,245,143,275,989,169,893,958,
470,531,902,495,814,848,792,764,948,796,215,247,368,073,892,842,470,290,918,
066,381,157,811,907,145,321,639,643,377,837,875,350,746,761,680,985,682,495,
579,362,006,588,246,695,349,524,600,935,543,131,541,078,199,408,657,002,424,
163,475,721,797,578,295,712,363,593,703,418,102,870,395,733,426,106,866,009,
892,032,927,174,128,166,141,734,469,653,053,194,819,442,367,014,749,888,925,
015,887,730,107,901,201,625,901,874,890,331,001,314,185,401,087,451,741,890,
444,938,165,718,320,764,417,826,225,738,392,069,565,126,835,317,733,639,317,
397,928,520,958,166,306,508,227,507,899,119,097,212,698,335,669,690,689,395,
236,011,545,673,664,944,655,983,530,895,508,835,818,888,600,654,086,677,323,
781,988,498,991,810,207,508,491,812,264,047,509,257,422,665,651,019,060,605,
650,653,680,142,898,466,596,007,477,000,601,212,346,781,009,931,275,042,802,
348,356,597,768,532,363,042,865,070,051,127,598,579,061,394,775,934,806,714,
673,927,678,271,830,328,494,461,737,842,658,498,147,825,674,659,027,441,256,
952,124,178,134,435,201,719,825,329,783,608,165,925,574,811,896,235,097,625,
619,025,302,925,150,533,658,582,623,087,594,309,790,764,396,937,435,077,174,
881,309,713,577,381,811,942,409,710,562,842,363,555,769,259,942,547,808,554,
053,943,408,339,867,571,888,488,591,475,823,346,642,519,858,837,402,009,362,
500,222,851,672,088,998,139,136,697,998,713,235,667,479,804,947,106,254,378,
921,170,595,657,801,443,934,348,994,466,915,664,007,503,061,760,887,851,106,
926,337,545,300,877,103,806,444,397,190,473,290,816,325,811,556,481,701,407,
438,562,897,848,286,751,037,518,533,475,559,590,486,084,173,831,658,701,550,
689,127,410,524,816,172,129,749,250,076,836,336,119,649,595,178,330,048,450,
654,410,029,085,701,359,884,926,591,323,259,080,839,635,833,013,471,410,162,
459,641,932,666,684,726,710,109,371,985,324,393,571,996,066,843,183,500,969,
556,852,784,634,915,061,810,492,775,535,862,453,458,399,656,764,258,464,572,
016,709,525,649,038,613,678,205,405,339,538,322,138,589,851,671,469,669,611,
768,463,310,694,505,785,011,588,243,949,664,416,243,909,037,577,187,343,764,
829,325,034,236,989,043,466,032,590,676,342,237,345,407,507,399,602,629,620,
098,959,116,610,176,914,069,877,302,442,995,134,027,211,810,022,695,759,335,
667,478,040,903,576,389,286,996,562,994,508,178,688,584,292,751,164,643,936,
502,279,117,771,909,737,335,599,110,060,656,159,797,906,747,806,914,099,805,
432,650,914,425,825,970,485,612,617,261,644,215,841,731,598,525,846,853,029,
468,721,237,355,759,694,272,139,965,366,065,156,667,395,893,235,717,532,206,
347,373,640,126,342,215,316,904,918,401,039,409,712,970,043,047,195,801,810,
985,047,148,977,287,431,774,693,369,899,472,123,285,365,815,492,390,908,058,
937,644,987,520,107,327,616,751,577,288,330,550,865,568,455,729,320,444,984,
741,773,914,462,449,332,475,402,969,328,098,664,950,900,948,358,259,532,404,
943,279,351,686,826,410,241,583,019,102,305,942,609,426,935,592,539,923,678,
815,232,734,362,487,148,600,766,990,074,175,360,692,581,984,231,195,063,476,
554,598,495,195,404,784,790,410,322,780,035,413,648,211,826,904,647,604,070,
257,086,655,097,241,317,974,393,437,983,170,700,979,261,713,294,688,451,741,
474,014,377,443,365,216,394,297,790,685,412,021,890,455,592,981,931,414,926,
179,892,006,688,670,213,870,697,644,680,480,915,021,941,701,388,011,351,454,
031,759,033,298,461,985,116,232,433,632,342,800,261,749,718,634,823,802,141,
113,986,638,862,224,910,448,577,001,645,627,641,990,958,922,524,539,325,116,
570,357,974,346,511,563,885,219,727,728,289,822,556,972,504,709,892,967,884,
287,638,593,644,024,359,577,903,678,244,168,803,929,946,063,719,595,132,531,
497,503,018,184,067,361,008,168,240,538,272,377,698,557,849,985,751,946,686,
547,968,162,986,685,391,912,158,328,149,265,541,908,918,147,181,259,875,358,
357,075,812,169,942,959,979,553,639,105,755,380,029,938,352,678,277,541,511,
652,349,622,503,482,334,161,347,540,837,343,361,390,702,931,382,623,960,640,
041,397,056,155,125,377,799,750,886,632,857,555,121,950,436,100,629,104,957,
024,077,154,574,447,649,408,345,211,683,946,901,649,997,913,330,161,592,055,
139,027,274,731,926,568,135,176,305,241,739,545,295,928,444,378,797,325,788,
318,550,187,747,904,394,611,475,245,995,623,811,314,382,429,105,852,587,879,
634,351,485,681,650,268,786,663,955,999,721,964,147,355,838,679,296,654,367,
485,096,527,367,820,433,562,929,482,963,695,679,737,860,364,174,146,825,677,
576,056,024,466,179,165,342,316,103,699,969,607,383,346,051,170,620,619,526,
358,873,177,598,245,494,549,691,194,352,978,837,616,911,408,288,351,332,958,
322,672,295,727,578,488,185,242,712,345,862,502,904,271,191,945,548,142,167,
953,005,754,316,441,750,315,874,360,609,000,809,455,236,134,928,069,245,260,
680,679,771,760,528,326,860,376,170,568,473,390,593,118,879,441,910,155,385,
691,285,574,693,999,150,657,059,139,725,419,175,940,569,706,614,263,568,436,
300,055,221,045,343,416,120,288,796,100,130,808,916,046,349,689,219,030,254,
805,313,530,177,232,164,606,686,787,722,862,524,929,590,260,401,817,136,822,
794,197,780,479,784,440,995,384,550,683,358,469,535,417,802,314,743,459,060,
287,133,849,157,509,083,328,021,339,305,891,942,144,786,956,558,118,110,219,
977,364,023,377,475,257,732,971,112,067,226,855,920,195,692,142,298,457,506,
672,366,940,389,233,622,682,766,788,125,018,839,773,834,174,004,488,444,413,
002,351,838,500,873,398,313,530,782,014,973,555,631,152,115,128,302,273,042,
132,450,986,761,395,453,379,278,291,177,712,111,136,549,219,732,665,203,623,
274,795,845,902,501,464,865,086,996,866,067,624,348,157,851,656,253,952,636,
150,781,935,450,296,470,733,174,048,363,484,475,722,089,887,882,639,757,829,
673,598,370,677,873,231,356,825,244,378,413,672,255,923,512,131,166,982,049,
507,938,884,714,156,050,818,553,200,368,813,977,404,462,866,844,653,814,942,
377,945,500,468,372,365,818,391,138,791,935,378,922,058,308,895,367,502,335,
852,101,259,476,673,960,076,022,659,802,631,303,547,485,501,651,252,006,739,
626,331,782,505,804,030,367,748,498,160,761,087,490,159,498,449,341,941,886,
974,063,546,638,348,303,789,774,981,016,368,749,658,262,844,934,914,306,907,
225,312,232,162,556,460,043,510,698,279,994,911,534,693,460,589,413,823,510,
215,268,892,759,630,783,537,294,550,871,790,111,307,065,992,397,201,389,222,
648,518,793,650,660,012,937,748,130,543,273,261,599,636,883,650,411,997,368,
786,229,960,040,951,386,672,084,486,244,388,918,431,036,580,964,721,039,601,
042,236,674,779,603,509,998,648,288,974,640,511,619,450,246,952,843,723,829,
040,578,441,621,814,594,994,468,406,616,434,009,831,731,258,235,308,792,640,
698,629,676,581,192,503,619,124,083,458,864,472,421,378,425,611,289,255,978,
635,460,437,149,016,879,370,263,109,652,173,948,465,408,156,254,695,707,030,
861,193,265,987,930,721,153,863,452,814,775,470,530,010,968,020,480,962,024,
408,715,022,847,189,297,672,853,275,199,537,192,322,844,696,151,279,255,132,
447,174,336,620,080,340,872,133,665,615,516,424,966,156,999,114,709,622,895,
248,143,071,705,670,054,041,183,207,034,622,172,704,204,220,955,549,777,865,
538,111,962,548,993,930,583,266,067,226,254,780,689,508,962,143,983,579,670,
668,695,412,882,433,542,009,271,589,980,063,018,878,213,803,825,593,327,145,
894,383,507,709,952,533,868,008,184,105,733,442,601,061,629,470,618,658,800,
805,733,880,802,457,561,141,498,884,137,925,752,480,582,442,949,345,714,651,
959,054,205,565,916,245,943,304,863,132,039,447,901,668,261,140,311,377,619,
579,838,052,015,674,215,039,783,921,994,569,162,562,342,734,012,560,713,007,
881,052,281,790,892,285,489,663,146,271,809,226,272,775,235,692,944,502,177,
211,296,677,488,710,700,474,148,087,766,487,833,329,797,381,965,908,627,575,
529,219,482,664,545,972,223,354,814,041,032,223,703,943,188,291,235,375,253,
421,733,639,213,844,880,499,418,198,112,939,161,881,781,887,083,483,067,775,
111,349,877,413,794,896,163,467,628,280,216,274,309,371,261,642,104,070,060,
468,265,454,887,568,920,183,730,009,055,420,177,112,411,476,464,138,627,098,
223,423,144,408,338,008,683,488,190,941,766,344,273,788,559,056,521,991,846,
675,228,138,476,022,681,485,785,939,879,049,389,026,650,886,672,676,176,672,
293,975,504,226,955,328,260,291,242,107,287,929,133,300,812,965,924,642,394,
981,332,383,535,507,759,153,370,473,847,864,967,692,877,039,375,176,701,320,
308,165,418,814,076,144,495,842,077,095,272,705,843,005,748,334,044,228,417,
424,299,122,767,708,671,524,212,811,601,772,328,618,330,161,682,351,198,141,
152,272,573,300,218,313,379,365,222,999,313,480,335,765,748,475,641,194,612,
315,747,468,123,900,054,287,378,301,059,382,209,480,261,629,055,501,954,950,
632,293,152,223,738,745,912,268,764,622,848,060,752,618,754,766,370,493,473,
538,981,247,501,623,571,637,957,731,435,571,954,843,477,772,279,007,031,210,
467,728,911,824,353,524,086,890,675,746,334,561,632,403,739,006,676,795,177,
661,519,663,960,419,043,846,771,145,711,382,273,303,502,917,339,463,681,612,
044,970,367,472,229,885,991,553,435,285,526,671,044,303,691,787,235,686,574,
904,909,344,804,954,742,119,199,803,900,741,706,271,307,723,575,260,876,300,
265,536,046,607,467,048,540,507,591,295,921,597,365,798,189,062,067,326,846,
439,027,233,197,745,899,157,184,985,997,827,704,023,803,517,964,242,453,103,
114,946,317,629,680,944,532,669,026,541,833,169,471,686,777,327,037,019,720,
131,714,898,145,080,800,959,429,187,712,444,016,782,899,986,440,964,742,019,
805,989,254,266,897,546,066,104,477,100,536,025,061,860,452,668,791,102,026,
944,133,127,095,370,352,672,800,797,079,096,739,377,390,833,557,292,809,023,
146,676,973,484,515,998,143,237,556,682,137,887,650,108,477,341,398,626,987,
815,280,353,215,043,314,973,677,443,727,325,288,516,995,964,913,449,352,444,
182,756,847,255,485,925,920,521,026,439,252,673,442,308,961,823,016,225,392,
519,522,355,495,262,537,071,981,339,360,237,454,788,532,928,714,890,732,459,
873,964,828,527,171,577,122,784,183,683,191,537,326,240,243,145,021,672,179,
439,206,884,620,811,074,929,802,325,915,657,548,093,385,327,665,201,413,832,
924,953,402,517,267,573,831,691,195,962,644,312,675,906,914,215,428,413,082,
949,103,498,376,003,317,116,433,464,615,705,214,423,058,111,848,791,629,969,
486,996,236,364,515,500,548,097,025,002,771,010,192,131,896,307,664,523,130,
002,767,113,101,962,497,752,853,670,944,434,976,968,344,196,244,806,120,834,
437,695,815,051,842,997,161,796,216,656,597,107,567,509,575,619,294,342,930,
750,238,788,689,564,594,164,812,028,849,397,752,295,626,389,897,708,623,456,
519,786,171,374,602,689,957,311,675,464,918,961,917,358,750,305,511,144,313,
110,552,558,059,509,620,163,915,352,822,312,323,643,161,677,936,156,274,547,
106,333,160,458,876,626,554,731,684,551,938,876,995,782,529,029,254,037,600,
458,901,089,531,561,657,736,514,993,760,017,242,561,819,234,271,589,371,413,
682,646,559,007,911,375,957,936,744,206,432,859,804,671,791,293,239,799,386,
841,810,828,686,423,852,916,494,042,083,372,800,003,365,974,806,852,316,906,
554,821,848,028,526,889,742,478,869,642,480,566,816,620,162,522,198,946,675,
500,172,161,323,950,284,412,678,578,713,892,610,775,243,341,422,484,843,863,
541,761,262,461,544,682,765,141,361,526,227,874,857,902,653,918,745,745,758,
566,324,320,492,351,394,273,958,681,662,891,525,468,792,934,007,689,456,453,
557,437,476,503,385,834,269,407,533,280,255,494,036,159,753,100,941,065,121,
988,978,167,868,666,084,994,794,405,108,304,427,261,910,460,351,722,757,660,
644,041,428,039,362,761,993,811,573,831,428,919,087,825,386,514,415,256,269,
053,458,645,836,324,195,727,059,613,498,824,281,864,269,961,840,294,293,110,
729,249,139,321,673,270,485,333,148,066,110,326,374,805,555,816,535,065,847,
682,181,719,220,974,687,977,532,794,858,041,023,649,349,135,467,081,093,556,
108,692,457,325,870,243,251,480,563,425,678,688,177,024,505,936,299,883,719,
806,012,371,686,826,820,573,309,626,552,081,937,555,670,965,013,984,446,025,
878,017,006,884,704,011,095,597,642,666,014,046,866,674,166,856,696,040,492,
951,982,450,448,173,804,387,902,975,901,768,510,235,737,216,585,244,343,463,
244,535,829,016,589,641,416,183,882,052,167,936,603,959,135,852,329,549,069,
580,095,742,697,066,819,565,353,416,924,126,148,841,901,824,835,255,754,225,
974,240,652,390,035,680,869,871,626,754,866,573,670,760,845,893,710,232,039,
118,060,530,303,195,805,123,468,744,521,934,214,940,654,187,144,551,984,670,
864,623,710,689,757,980,025,265,198,444,702,854,925,585,137,118,259,661,939,
390,791,987,279,290,337,640,598,412,057,116,869,305,189,417,933,069,878,561,
117,349,043,610,111,190,925,868,405,485,214,019,881,158,468,027,324,904,743,
615,229,943,442,193,279,802,934,165,280,678,149,709,827,916,200,590,068,642,
993,893,265,992,651,146,713,467,694,814,651,864,818,756,134,024,698,280,392,
037,128,881,045,527,060,698,088,419,865,114,023,752,253,749,628,561,510,908,
370,155,270,811,171,877,256,839,635,852,301,998,883,365,574,212,384,092,975,
317,132,017,409,818,474,791,770,230,366,796,507,429,628,203,496,127,378,011,
841,232,188,404,310,306,577,663,025,152,529,754,235,175,422,582,336,008,840,
812,447,406,772,099,835,154,963,932,207,075,076,783,518,483,767,507,797,440,
232,193,404,212,318,876,691,139,070,602,147,140,780,292,757,223,311,252,843,
021,740,043,226,162,061,957,477,257,032,421,034,624,401,971,591,657,100,793,
453,027,825,344,461,679,266,714,497,152,932,876,282,974,065,537,396,640,081,
161,721,283,407,761,705,221,701,869,999,235,142,783,369,174,480,846,263,026,
183,392,982,330,664,840,752,511,699,911,495,450,155,209,297,444,179,939,019,
193,477,073,730,409,048,629,200,122,645,232,878,762,318,136,529,827,637,527,
966,613,259,314,001,103,038,503,470,823,611,882,020,652,598,631,371,627,926,
133,520,932,126,605,646,599,200,453,248,989,983,764,199,262,135,411,534,375,
726,882,623,637,489,304,262,662,626,790,461,159,569,047,013,098,655,416,810,
927,100,731,100,277,943,294,149,721,422,779,874,401,516,360,571,071,963,166,
979,796,312,970,512,292,186,943,245,718,375,557,075,467,129,819,508,008,623,
365,326,556,963,425,856,163,520,511,942,206,167,773,305,280,414,167,197,246,
897,485,845,114,719,206,553,918,746,503,838,582,053,415,618,165,661,888,573,
406,424,949,745,277,693,690,495,205,531,074,423,272,095,780,652,007,058,014,
439,862,553,708,525,461,053,098,621,726,351,204,642,692,851,397,332,295,620,
414,099,272,142,170,497,361,429,951,889,698,480,819,804,603,971,854,151,329,
405,540,030,570,678,138,022,758,532,998,419,153,624,900,037,425,330,787,160,
737,009,370,177,826,128,939,054,969,977,108,464,235,371,447,778,572,504,297,
006,518,833,402,506,477,686,979,035,830,811,799,607,723,186,983,767,460,583,
592,837,901,741,826,313,150,254,261,918,197,737,765,869,675,813,236,375,320,
819,600,097,081,676,223,038,484,568,056,271,637,788,896,891,245,944,405,880,
337,785,352,498,075,034,422,379,665,411,706,574,461,335,337,882,307,483,276,
272,716,906,902,018,602,743,398,208,249,197,959,994,152,665,830,165,066,872,
269,469,437,183,964,204,201,277,861,666,677,662,598,693,669,270,970,632,311,
051,051,253,923,143,021,116,979,007,476,631,138,805,440,723,491,288,479,750,
608,018,564,282,164,250,623,055,311,455,518,105,519,964,415,256,863,048,935,
829,667,066,642,867,158,667,463,205,060,893,188,178,334,256,407,901,037,175,
794,689,001,937,258,532,465,851,673,846,998,169,455,349,611,867,443,381,053,
441,384,731,894,706,798,789,985,037,930,902,188,287,532,731,060,310,026,357,
183,571,280,671,279,608,461,095,581,014,894,232,218,286,253,265,064,093,979,
863,763,473,882,640,198,311,296,067,819,884,131,079,831,794,115,495,848,891,
329,462,478,815,560,621,642,218,935,920,861,127,899,752,571,097,924,425,715,
157,602,036,501,054,097,102,776,254,071,378,777,539,152,171,140,980,904,517,
136,017,661,279,203,488,561,084,152,778,304,252,619,860,725,624,122,969,433,
947,930,713,541,088,409,654,696,454,283,198,959,851,201,433,815,843,355,994,
880,634,412,341,180,397,956,299,485,019,680,863,490,764,733,405,397,172,264,
759,735,777,821,253,652,480,579,092,374,402,607,731,012,940,088,541,047,478,
483,172,354,505,515,989,903,046,161,438,526,215,026,183,724,658,750,260,367,
920,377,804,286,203,501,172,412,110,825,159,850,491,108,792,033,960,122,942,
080,416,783,608,418,392,951,817,095,199,312,536,795,680,616,388,802,082,606,
648,480,823,634,790,050,042,957,989,228,982,761,538,141,955,187,778,452,618,
156,924,299,182,022,369,016,237,992,101,260,860,529,954,013,704,368,481,551,
331,100,468,817,022,465,991,029,521,931,218,875,052,123,466,530,651,881,395,
137,726,258,981,574,713,692,744,904,728,751,006,767,090,171,463,553,553,029,
515,028,034,057,767,315,384,485,446,470,096,891,889,703,475,797,095,568,212,
388,829,709,784,081,493,893,634,705,609,462,291,603,456,891,580,232,177,190,
098,657,099,782,812,663,377,191,071,170,953,605,121,435,743,175,335,738,606,
094,492,232,911,648,883,621,427,582,217,951,369,723,117,053,815,080,734,998,
189,428,991,534,593,155,336,763,203,849,565,806,850,598,767,016,577,092,829,
107,408,197,148,848,766,430,047,902,294,527,285,872,842,063,512,238,034,079,
467,046,141,098,062,394,980,375,860,175,131,378,539,775,637,262,089,285,528,
941,924,318,045,384,813,163,514,360,548,122,714,112,133,850,859,486,260,276,
036,206,098,312,528,730,523,312,615,160,973,287,398,917,069,925,754,097,716,
502,388,508,917,275,618,384,087,364,527,414,338,159,636,219,704,331,416,055,
987,702,768,105,899,606,427,164,691,504,519,349,609,913,405,667,018,275,507,
610,074,218,720,754,772,611,671,135,027,111,051,361,657,659,809,704,917,593,
009,870,141,057,653,300,456,581,927,837,579,811,611,808,846,896,706,406,575,
692,347,408,645,976,303,169,293,700,169,146,097,788,015,045,894,843,862,930,
034,987,198,449,977,749,007,666,361,562,171,554,181,646,404,586,112,742,428,
885,301,475,656,253,327,813,091,067,335,646,236,507,003,890,125,279,625,608,
220,458,724,149,862,864,255,022,287,906,651,027,833,305,200,672,666,483,812,
901,036,875,757,262,737,630,611,134,767,183,475,789,050,442,964,367,511,430,
863,931,975,560,069,540,924,266,300,510,957,808,562,128,794,137,453,108,367,
162,539,729,669,033,159,908,860,278,485,804,488,475,968,328,480,749,575,853,
138,973,940,441,638,821,135,323,801,625,865,509,553,273,624,057,871,701,391,
436,449,746,758,454,337,241,949,606,649,374,486,805,103,335,672,267,622,558,
440,024,899,369,200,114,059,125,790,431,565,512,495,193,431,980,230,372,734,
662,692,583,626,442,924,531,122,005,072,272,470,108,254,800,103,952,437,796,
072,282,443,446,952,886,537,984,867,007,535,266,113,079,070,772,656,867,415,
126,708,642,363,023,535,608,089,737,905,184,350,674,691,979,356,250,504,247,
806,749,018,941,337,480,759,737,333,957,080,052,694,060,610,876,157,594,027,
202,585,199,631,443,641,209,136,576,835,538,581,426,277,955,433,490,148,571,
753,413,329,219,812,098,743,456,401,543,733,210,726,654,567,149,849,519,754,
706,769,096,974,743,726,486,482,335,409,148,015,171,372,233,537,422,038,833,
962,002,086,777,072,111,950,577,908,131,911,377,126,570,853,365,017,369,458,
859,255,214,592,447,871,688,170,708,428,558,580,097,632,332,060,290,994,211,
410,493,300,231,745,612,252,922,692,388,936,661,027,128,472,196,311,279,318,
373,804,034,613,649,368,468,397,641,570,728,475,618,356,255,200,652,088,390,
801,415,332,493,830,701,701,099,968,396,845,231,466,606,922,253,115,380,421,
274,158,443,497,630,785,704,200,529,176,491,423,185,628,252,614,773,025,300,
129,460,765,219,454,198,036,565,360,905,124,956,414,637,694,670,849,383,171,
218,269,430,297,920,475,605,946,314,691,479,913,397,735,022,872,686,891,327,
610,079,582,796,483,628,023,915,808,761,393,004,727,324,950,779,299,912,187,
235,623,883,036,951,855,928,394,616,682,191,171,925,960,124,050,688,244,798,
375,890,145,951,970,301,474,349,380,214,860,810,873,290,999,655,463,101,752,
990,202,413,876,900,301,569,075,720,061,910,705,251,065,155,320,285,392,840,
220,866,015,114,839,473,990,848,095,032,020,535,079,120,017,422,495,451,204,
090,196,741,776,704,426,338,264,276,451,323,779,026,502,386,537,237,714,909,
819,895,367,406,938,461,049,215,328,071,693,919,015,059,555,876,203,094,411,
745,385,487,612,245,729,594,163,373,508,666,680,439,390,848,911,652,524,363,
816,151,561,119,682,600,514,973,172,752,908,942,618,627,630,834,821,127,980,
988,685,120,071,609,932,179,221,718,840,283,024,197,497,648,562,169,878,367,
238,578,099,424,066,855,162,250,088,866,604,145,037,817,396,074,259,226,088,
970,423,991,075,858,262,015,370,994,869,978,490,921,664,643,080,947,153,390,
821,858,093,964,559,259,135,858,765,931,506,946,798,349,587,662,105,036,317,
130,087,303,395,155,369,622,862,707,223,581,484,927,308,174,015,826,842,213,
661,301,044,008,769,808,033,277,042,400,098,725,696,904,699,484,944,256,632,
359,882,486,076,844,605,245,512,902,213,473,423,694,069,159,805,694,656,447,
578,466,202,640,806,764,503,495,078,577,319,006,061,597,123,705,829,442,230,
954,651,028,825,505,883,798,777,052,301,015,843,177,244,544,395,465,352,235,
909,082,209,589,559,690,972,785,195,179,734,769,467,137,193,841,589,799,325,
799,487,422,447,452,298,339,627,711,039,946,745,102,429,408,899,020,366,092,
836,725,393,458,721,866,199,784,623,095,616,380,668,363,487,769,785,709,957,
221,071,444,524,144,986,409,551,572,163,445,677,511,716,402,471,726,963,369,
529,154,525,452,928,357,487,122,318,059,486,014,068,951,797,639,647,504,723,
587,896,160,563,193,118,221,681,282,064,390,495,170,289,900,639,020,549,853,
967,408,059,952,343,513,600,787,824,650,486,743,877,814,046,608,852,852,666,
456,946,276,087,953,720,394,171,876,844,642,432,092,608,738,136,053,383,389,
170,066,753,927,169,887,685,456,733,261,386,982,279,832,643,415,823,784,842,
137,876,065,955,136,209,066,326,895,797,627,343,944,773,659,165,719,937,933,
974,651,614,495,536,579,934,816,541,505,836,617,459,627,818,644,527,501,830,
525,129,155,412,043,465,084,244,314,547,545,436,430,207,239,224,661,073,104,
215,471,972,830,788,945,643,288,304,612,948,212,007,018,673,786,866,315,798,
571,086,614,965,325,535,817,958,951,627,604,520,201,732,125,379,627,727,438,
400,890,008,397,965,748,961,493,934,118,458,539,693,299,256,862,508,673,104,
660,929,705,726,803,755,542,498,671,558,420,339,362,166,136,971,750,597,001,
144,658,966,866,138,634,967,281,078,882,920,222,828,646,833,208,119,079,954,
573,137,678,369,165,456,417,970,845,211,166,714,161,976,485,695,219,453,855,
375,005,882,031,025,511,793,911,087,921,804,453,251,181,986,856,649,091,967,
094,421,155,241,678,081,982,353,164,596,648,485,916,215,672,907,127,166,118,
232,010,214,798,413,906,639,725,541,599,327,028,207,775,145,877,652,825,960,
373,963,845,677,192,402,526,457,074,204,129,012,801,371,052,364,192,130,050,
942,055,863,155,005,827,743,623,953,173,148,695,953,450,113,661,846,759,200,
237,341,799,514,918,950,763,880,113,097,021,813,428,709,141,509,596,489,570,
492,096,641,567,111,408,330,111,421,114,323,028,467,184,477,678,755,461,610,
135,710,199,233,569,327,742,007,069,461,766,110,780,456,093,856,743,822,766,
054,703,024,047,833,744,123,150,011,245,711,319,903,086,907,190,184,626,401,
517,975,173,031,705,356,937,578,161,916,342,683,279,289,948,759,144,267,468,
432,291,329,795,638,955,328,632,110,556,347,843,551,434,515,636,507,855,479,
982,458,156,288,391,926,545,938,145,602,476,271,145,731,579,210,479,829,607,
624,353,677,148,101,587,793,051,782,403,013,537,590,844,074,861,369,314,338,
814,465,741,839,908,690,695,336,948,311,230,352,367,018,656,491,336,747,312,
197,893,378,822,574,561,428,146,218,231,285,859,067,032,885,103,384,943,212,
502,115,047,594,117,810,820,708,880,256,014,858,917,104,273,690,753,478,218,
833,273,892,156,428,673,431,674,370,805,502,895,303,435,205,432,840,507,063,
941,437,942,985,931,330,792,009,969,882,008,164,898,150,229,298,332,080,003,
161,843,703,463,994,701,116,132,202,012,134,605,202,740,496,894,548,638,780,
512,058,757,909,896,793,597,027,745,956,022,954,491,852,669,441,060,733,281,
817,345,773,364,065,187,103,751,402,813,683,690,474,147,560,895,392,172,531,
108,285,807,029,449,206,511,496,839,069,466,559,608,280,326,693,297,528,988,
702,076,971,378,489,531,020,661,361,991,302,384,302,943,839,638,124,395,427,
886,268,121,243,050,802,214,745,393,709,966,250,134,205,501,730,312,718,957,
524,355,501,524,065,794,531,081,904,723,214,419,641,416,666,843,481,987,277,
586,763,590,048,308,100,117,451,895,466,640,909,698,209,699,142,617,557,591,
633,051,167,145,824,898,170,999,924,529,952,791,675,192,594,744,262,694,885,
339,600,216,913,504,119,101,939,019,852,491,296,730,385,016,719,862,999,558,
919,571,410,237,601,594,169,901,131,110,127,659,859,229,863,417,011,552,553,
695,694,668,554,016,728,609,890,469,111,615,133,480,125,785,433,293,717,723,
482,341,488,101,135,915,358,714,415,237,343,123,727,828,680,158,444,848,678,
492,972,875,985,005,008,009,837,523,383,595,421,483,813,673,804,036,975,294,
703,531,152,509,063,936,802,569,401,937,508,029,469,755,305,123,717,829,208,
564,702,616,512,432,475,968,188,628,777,776,941,396,586,577,473,545,316,716,
673,822,361,686,606,180,697,892,128,958,036,495,942,509,250,248,790,965,568,
368,469,061,888,705,417,156,435,467,793,609,119,157,882,604,754,422,333,551,
112,626,592,950,147,502,085,822,706,636,910,446,789,878,507,655,921,033,109,
867,534,440,156,488,733,276,314,992,139,293,122,490,512,865,484,763,300,041,
713,152,204,780,275,667,808,603,620,304,477,581,491,784,268,260,810,383,193,
070,881,496,707,638,522,641,487,213,265,911,515,054,538,640,640,738,482,731,
093,927,573,893,024,251,891,356,400,900,614,026,637,118,736,103,034,905,454,
381,668,102,567,650,998,763,660,400,756,906,893,283,038,004,808,008,249,025,
236,861,636,359,379,779,295,064,802,270,501,535,432,671,735,090,221,104,879,
430,183,570,761,396,755,749,090,021,112,333,017,070,432,923,395,314,462,430,
464,230,158,119,687,960,617,207,834,379,907,222,287,629,511,217,564,464,529,
588,097,916,091,253,767,913,914,813,649,158,123,433,124,286,560,772,157,527,
862,531,827,550,042,639,878,759,938,620,445,808,492,844,444,093,247,915,010,
337,121,093,808,100,722,182,615,428,714,308,406,589,740,952,433,785,826,846,
808,211,794,251,156,738,416,576,810,812,402,363,418,037,314,700,228,543,312,
872,898,762,008,694,909,801,338,481,399,207,303,876,555,344,170,071,044,264,
239,544,226,676,316,071,775,314,983,566,037,488,628,634,895,169,613,172,662,
738,756,860,884,154,947,418,947,439,810,758,405,249,300,798,501,211,654,540,
513,519,746,507,389,022,326,155,901,173,657,301,885,924,950,682,166,267,912,
482,315,311,403,997,973,064,745,137,889,936,712,049,914,203,418,851,285,400,
140,033,608,725,246,635,051,854,367,999,310,584,794,952,816,305,436,240,350,
260,755,032,083,046,130,502,636,043,148,793,728,226,384,780,653,505,723,695,
633,284,521,350,810,244,525,299,857,090,039,770,749,353,887,839,015,585,914,
015,653,668,132,672,341,991,516,472,820,608,603,639,993,289,603,816,222,934,
624,679,857,832,248,399,753,932,888,655,556,318,432,675,485,481,644,050,100,
086,643,030,290,675,625,543,526,759,068,709,101,691,686,436,999,979,414,058,
325,502,192,471,609,031,187,759,928,882,423,325,901,816,380,327,400,351,661,
070,867,405,140,516,541,366,480,557,473,018,535,442,792,630,003,079,664,373,
042,272,347,769,956,765,912,963,370,491,986,790,613,046,552,943,141,127,481,
945,925,521,105,031,108,991,146,515,541,985,370,385,124,753,847,336,269,854,
913,521,951,670,175,548,729,839,229,989,200,948,396,493,301,525,453,455,083,
379,495,162,883,056,153,568,411,665,507,315,062,393,313,807,860,382,776,804,
434,487,304,503,490,685,883,890,932,424,395,499,605,455,703,986,106,910,604,
335,547,895,213,044,465,006,976,564,139,879,565,882,695,021,768,049,404,655,
491,596,487,842,640,357,683,443,688,324,175,809,503,958,865,532,820,786,798,
562,141,713,798,848,161,165,567,252,701,329,780,869,742,739,790,282,171,105,
515,489,960,138,142,484,656,568,140,859,715,206,468,410,909,606,821,229,670,
817,632,501,825,037,927,103,335,460,257,025,076,507,600,594,517,175,453,212,
473,055,091,803,255,721,832,955,370,039,020,319,018,820,736,059,574,640,390,
060,528,428,514,413,711,883,181,091,854,456,398,593,382,313,583,641,905,485,
459,846,212,533,777,069,151,409,936,561,560,164,180,741,696,396,764,100,646,
873,384,274,154,072,183,969,636,085,284,243,146,186,911,082,288,131,041,077,
245,694,313,094,330,816,251,898,771,739,291,050,412,700,457,977,363,841,192,
185,273,890,309,860,716,380,914,404,304,854,978,138,748,194,842,784,477,958,
800,576,787,424,541,271,334,097,139,211,986,213,774,578,981,920,696,767,719,
881,157,350,634,851,832,603,836,315,648,135,875,460,235,464,048,757,639,590,
526,543,889,818,013,714,189,678,699,593,245,818,233,059,965,906,385,938,850,
280,603,250,444,106,308,066,178,461,247,242,416,212,807,360,833,795,464,617,
047,164,217,894,944,793,525,220,373,678,708,237,007,579,842,539,683,293,119,
854,140,165,243,159,565,848,138,265,798,074,484,155,298,848,291,062,945,315,
133,089,281,836,433,417,164,222,429,475,980,960,571,637,841,643,299,142,139,
574,430,255,938,125,796,875,520,328,629,026,334,584,671,151,230,328,566,967,
875,971,680,386,562,521,266,939,743,211,368,987,725,777,187,578,730,035,891,
812,846,722,821,281,219,995,211,299,152,226,716,708,770,657,622,812,366,276,
122,939,346,884,367,222,140,704,042,633,963,468,820,259,570,929,366,614,328,
217,036,230,794,063,531,088,833,904,258,455,385,445,789,976,653,155,758,468,
933,776,647,513,812,420,164,222,152,278,243,674,908,204,451,046,220,560,107,
049,924,855,386,471,612,075,494,508,033,830,436,497,568,767,948,378,024,559,
390,879,854,790,778,890,488,965,658,398,042,503,909,150,266,135,363,489,725,
936,022,631,997,946,645,913,127,227,431,365,107,864,344,966,124,812,788,962,
923,109,026,211,808,551,782,603,457,565,820,809,752,929,211,228,089,417,912,
582,521,070,843,737,108,635,230,681,656,548,110,058,385,864,778,662,948,554,
531,711,911,397,004,970,490,127,698,580,717,871,188,540,446,168,690,142,226,
712,813,197,964,655,802,861,980,028,563,699,559,808,903,212,840,080,476,540,
242,336,659,524,422,403,098,390,368,205,778,017,316,226,756,616,083,649,823,
459,622,522,147,564,148,782,882,514,102,743,364,475,539,606,431,821,547,715,
447,268,609,892,079,213,186,053,533,251,058,963,471,178,169,331,411,332,401,
604,600,116,433,959,570,659,177,768,853,565,773,968,234,461,391,707,865,138,
260,472,950,902,850,052,613,103,423,604,638,904,745,916,218,237,410,450,121,
639,375,131,975,026,133,358,087,792,784,158,285,640,962,882,614,076,140,106,
751,307,061,891,442,862,146,426,511,469,673,094,179,940,233,281,593,841,820,
104,957,949,160,888,369,250,775,301,431,998,662,255,970,232,510,677,958,563,
456,545,302,018,563,846,936,389,300,748,405,897,947,421,336,815,533,101,667,
523,650,109,702,711,768,923,742,135,647,201,261,341,131,797,400,717,867,129,
642,574,164,519,934,007,583,275,814,980,523,914,653,767,692,178,369,052,638,
680,140,927,654,763,795,798,204,065,879,077,032,836,478,959,995,031,443,382,
883,188,052,296,826,953,774,648,521,152,541,111,461,025,695,283,598,234,834,
166,585,971,037,852,419,117,663,746,041,439,876,830,422,670,724,560,191,496,
133,141,142,816,444,257,312,837,913,331,836,141,259,359,520,294,827,586,945,
738,187,377,911,849,133,397,920,592,635,641,266,216,625,947,550,194,471,052,
311,519,386,015,447,319,922,135,212,541,645,780,905,858,915,659,846,138,704,
189,114,773,318,341,047,986,056,671,908,886,289,823,004,650,110,890,933,965,
510,585,591,649,229,628,526,017,670,228,384,779,966,452,704,633,171,591,302,
584,701,334,366,694,090,487,191,410,271,032,166,450,281,791,057,732,339,003,
576,654,936,041,881,735,951,893,063,783,763,165,160,320,669,712,942,487,870,
263,463,450,259,025,570,097,830,748,052,743,763,213,547,617,794,092,481,519,
792,342,974,546,897,811,964,829,186,417,424,802,540,368,754,550,918,774,686,
194,678,369,038,781,464,162,090,437,144,828,001,108,911,487,525,572,643,426,
501,992,873,033,911,139,893,976,240,842,593,518,452,525,173,599,748,170,669,
160,017,197,886,791,742,778,490,954,882,774,419,616,055,352,795,612,751,463,
086,252,948,894,167,440,349,508,837,385,668,834,485,896,497,207,755,373,161,
627,981,043,998,387,841,090,161,484,279,365,978,446,295,972,345,997,921,255,
015,722,103,255,832,886,388,096,013,575,213,473,345,551,634,125,426,413,100,
844,094,104,029,677,491,739,420,557,142,223,504,279,534,194,428,505,442,649,
230,808,622,878,843,408,256,257,241,179,553,330,678,668,566,004,524,364,644,
621,381,862,303,623,170,438,580,120,982,041,245,018,331,989,865,773,796,633,
831,874,792,317,048,143,592,949,404,003,345,456,907,433,100,521,525,409,929,
643,825,065,406,575,417,823,360,762,787,356,371,600,044,700,044,799,386,662,
678,469,986,194,842,656,555,804,451,281,401,766,086,898,973,621,697,173,403,
932,640,424,089,251,429,836,484,647,427,652,123,755,151,497,468,799,791,017,
703,632,517,885,775,808,860,744,749,264,134,890,068,758,430,292,914,585,343,
150,110,098,708,634,704,158,589,654,352,196,353,701,882,268,191,778,829,241,
351,423,551,065,207,113,001,310,503,875,694,530,582,684,170,352,186,733,047,
148,548,629,131,508,891,900,682,274,971,969,508,692,001,915,508,938,167,699,
534,525,938,080,990,399,977,517,220,176,563,143,505,318,230,502,519,939,813,
828,074,872,233,799,368,585,865,708,651,754,244,463,349,081,096,617,343,351,
229,336,245,264,283,071,847,826,594,455,534,570,107,698,947,258,237,768,911,
231,545,336,261,584,202,706,969,067,650,628,289,642,792,665,285,836,902,011,
678,761,389,855,834,752,324,216,606,730,091,449,865,314,781,296,598,388,661,
854,153,116,441,496,480,645,101,596,711,626,450,485,324,406,597,844,848,191,
910,417,646,694,325,613,962,339,420,247,280,001,135,279,726,745,407,005,195,
777,774,445,966,216,864,517,472,819,588,221,680,751,672,830,095,866,623,311,
324,889,627,545,488,738,732,663,366,195,839,820,394,124,502,907,031,803,482,
311,592,355,378,794,379,765,409,479,841,096,928,987,242,513,995,411,290,187,
127,189,339,657,937,441,263,907,585,889,473,305,390,464,781,748,823,820,388,
026,234,123,733,160,135,988,571,783,981,337,493,645,259,696,922,432,385,676,
870,779,770,363,164,773,450,671,532,456,676,180,599,021,670,953,922,638,496,
955,836,534,189,939,848,474,935,179,265,097,500,145,753,165,215,062,356,561,
015,583,992,638,702,367,602,476,856,441,820,941,698,317,687,373,915,353,797,
892,913,997,961,037,916,820,109,250,471,117,405,451,366,170,555,011,728,582,
832,291,029,497,141,394,452,784,339,451,070,979,542,937,462,421,680,866,670,
298,631,281,700,761,091,759,554,062,439,667,720,280,867,290,613,178,166,125,
476,872,886,680,365,936,333,162,007,432,785,002,339,258,757,225,541,958,803,
729,268,769,006,312,296,611,006,050,103,943,282,434,654,106,098,257,631,784,
429,015,002,942,596,307,967,127,089,328,897,223,352,432,998,184,626,598,921,
504,604,562,742,022,633,984,107,313,009,810,590,653,457,381,649,679,426,636,
984,096,798,972,393,076,134,208,157,196,251,667,558,867,138,293,800,023,172,
072,601,805,021,375,040,120,243,767,837,585,069,234,872,051,569,936,249,223,
621,932,344,969,171,874,633,885,156,711,823,964,949,744,340,578,218,284,305,
316,566,695,767,343,020,958,717,706,897,877,462,146,291,613,673,655,381,138,
689,459,061,459,136,955,278,093,513,250,333,846,721,981,691,864,233,434,318,
784,244,903,413,321,051,743,159,657,638,384,182,750,504,272,131,274,973,610,
593,739,204,344,007,632,944,201,696,899,032,538,228,487,101,139,267,551,776,
133,191,945,511,848,789,153,382,934,491,951,996,530,459,534,422,959,331,058,
270,781,514,644,171,512,709,579,604,190,757,709,671,458,077,177,132,718,299,
368,474,946,802,892,433,752,702,122,503,775,635,409,734,558,556,202,021,539,
774,894,151,039,571,939,638,279,493,332,380,976,558,302,577,800,964,203,227,
725,741,399,373,883,746,115,756,973,288,135,001,570,745,054,162,716,199,158,
764,834,707,202,053,042,368,694,898,812,624,996,108,890,291,585,666,618,467,
133,507,996,986,794,310,646,681,171,531,722,975,141,508,836,698,615,366,745,
111,415,192,785,373,570,609,397,710,818,062,203,859,517,564,839,468,216,192,
960,643,274,214,755,984,081,007,512,169,631,557,232,910,455,308,954,808,851,
506,860,022,736,821,712,683,646,835,112,916,246,521,347,094,213,556,923,700,
692,087,528,614,774,437,014,300,451,619,173,397,546,599,688,102,936,366,481,
744,006,092,014,354,994,867,454,544,462,913,182,199,126,173,497,619,393,802,
664,219,139,702,060,342,000,486,705,853,391,773,917,464,434,936,330,464,485,
883,933,611,881,917,294,583,244,203,854,213,792,140,681,172,459,779,770,592,
745,805,823,520,198,925,202,212,363,167,897,589,413,441,605,593,637,826,213,
229,968,864,146,358,139,497,697,088,793,033,511,645,104,600,470,492,105,537,
573,615,243,924,474,987,253,912,538,630,725,296,983,693,124,940,301,734,521,
275,309,912,716,741,580,740,974,247,686,630,087,147,219,153,189,461,798,292,
115,376,793,814,555,691,575,381,110,213,226,534,495,023,605,815,227,290,237,
589,781,415,460,475,173,360,343,718,493,098,428,314,407,771,554,788,493,081,
715,643,283,501,101,685,813,960,906,915,387,337,666,079,248,042,994,475,476,
363,190,643,972,019,427,358,432,701,235,182,109,553,199,789,109,207,601,241,
847,518,281,390,511,547,528,560,765,927,430,539,051,618,932,599,199,043,459,
142,999,355,038,756,250,965,763,103,860,004,626,932,640,474,594,304,290,213,
767,805,566,474,245,748,489,175,597,830,985,623,940,332,695,189,277,721,466,
337,472,697,324,149,631,806,272,627,000,605,864,659,654,334,977,787,223,359,
532,386,343,575,784,319,524,639,849,474,449,990,439,933,676,375,451,171,156,
828,513,358,567,001,775,923,324,902,397,657,100,453,478,707,981,559,881,205,
204,401,588,054,345,361,942,846,712,267,329,375,361,626,550,312,073,180,110,
931,542,681,351,817,132,816,757,102,581,782,392,065,296,054,193,840,995,807,
386,539,859,946,065,822,667,801,673,440,725,788,694,470,715,817,548,698,303,
682,994,047,820,203,476,778,938,137,804,698,780,178,976,763,197,657,435,733,
678,221,084,163,435,663,588,565,007,707,191,074,821,964,225,917,284,350,224,
575,883,057,882,910,612,925,883,742,028,548,499,740,638,427,845,817,619,927,
938,495,845,584,217,678,615,143,655,152,698,490,559,980,214,098,064,008,373,
794,453,664,945,921,340,596,756,650,400,009,992,788,253,597,393,655,478,189,
384,233,866,409,692,693,685,149,982,550,134,911,800,258,287,063,540,939,026,
985,001,263,049,810,085,024,251,999,945,718,475,382,944,377,945,879,187,930,
545,442,984,401,901,248,023,122,069,003,433,987,932,996,886,963,960,788,982,
316,311,172,309,844,457,803,655,422,441,624,978,667,186,206,811,144,160,781,
570,431,884,560,405,175,148,602,989,102,649,961,160,676,104,030,156,730,009,
023,066,198,558,350,782,420,497,615,213,643,464,549,457,708,958,400,212,354,
608,115,565,050,651,181,147,712,771,729,827,296,229,394,924,887,676,253,991,
935,654,536,164,432,361,290,297,916,426,729,449,414,393,274,821,102,712,330,
058,230,634,440,243,689,942,201,116,753,149,043,928,239,501,321,444,904,759,
283,411,386,560,778,856,234,418,148,578,404,856,677,204,344,960,722,859,414,
702,789,991,858,218,819,439,325,263,448,443,368,329,665,713,859,783,268,335,
148,599,105,604,127,620,671,709,118,889,105,797,913,092,006,024,481,391,821,
511,250,113,430,648,380,035,304,213,496,826,559,744,577,027,275,092,176,719,
753,859,884,308,425,081,588,786,464,647,687,828,170,949,994,451,112,159,461,
023,957,447,367,995,965,178,427,313,520,199,883,586,430,958,220,133,584,492,
053,596,466,829,237,138,269,397,382,399,969,855,726,675,071,294,359,911,324,
380,722,533,505,151,825,892,972,486,581,844,258,368,184,085,499,024,748,292,
537,620,692,171,721,064,102,884,103,621,502,172,356,503,568,012,439,720,563,
234,149,751,094,035,599,249,940,082,741,340,729,336,752,773,960,232,061,291,
009,512,176,267,503,242,895,458,631,913,179,161,810,404,978,040,585,814,053,
496,829,556,318,530,774,526,655,576,835,986,682,750,836,460,487,616,769,888,
782,498,540,100,372,054,700,226,466,325,842,218,775,983,403,813,682,056,643,
213,552,374,599,296,785,932,725,728,163,506,990,806,988,243,450,517,674,243,
048,177,642,474,394,311,689,868,007,768,619,799,660,794,251,049,825,914,681,
184,255,064,152,673,074,531,619,262,116,638,466,792,200,678,564,763,470,397,
504,295,582,493,588,438,297,994,236,328,474,265,190,034,960,216,783,201,855,
144,756,240,283,982,294,438,414,679,416,540,807,763,261,426,787,201,816,031,
860,450,211,892,024,028,351,280,818,704,925,897,671,691,110,794,227,887,799,
942,226,684,848,305,624,054,865,972,822,232,508,745,039,034,244,890,569,177,
654,427,987,441,945,057,715,684,914,712,639,425,801,661,690,689,958,574,880,
351,932,513,473,437,515,125,975,629,110,403,466,869,860,443,435,712,840,366,
954,204,706,540,185,252,499,205,932,676,360,837,668,542,195,920,604,399,943,
333,486,822,029,291,811,856,856,577,343,788,421,991,795,963,503,542,740,738,
027,436,023,698,725,466,375,910,475,277,056,271,171,720,589,804,573,439,783,
365,275,354,429,699,042,821,042,285,069,709,750,248,394,135,365,302,896,002,
322,428,104,192,569,478,872,003,673,879,223,792,719,701,703,389,390,912,150,
243,824,318,675,945,585,962,288,631,065,323,862,551,347,110,453,121,751,579,
410,042,345,118,858,510,270,653,837,667,927,824,042,864,397,677,335,062,558,
691,225,141,011,725,730,086,833,881,171,252,004,518,300,410,160,225,390,219,
250,945,203,087,733,755,233,391,640,781,132,219,579,671,076,623,480,285,076,
391,068,219,586,780,113,511,058,404,527,228,664,901,577,955,181,076,650,642,
641,947,781,367,171,135,628,098,277,830,773,662,225,907,270,770,213,601,779,
828,253,695,986,009,430,224,988,628,917,545,907,245,750,958,509,251,537,773,
467,935,127,501,648,466,719,616,555,586,256,563,845,870,038,263,894,319,151,
474,116,253,237,341,972,667,504,277,447,946,488,542,013,303,600,661,330,400,
835,725,683,686,976,019,495,236,679,287,007,658,964,190,448,965,732,655,501,
369,167,813,872,041,256,305,486,799,115,739,479,316,420,881,201,842,345,044,
888,140,078,220,393,730,951,046,088,321,326,940,995,374,652,697,114,186,095,
132,448,131,159,286,450,140,044,344,370,842,687,668,471,952,965,688,710,528,
787,763,902,650,376,459,514,718,881,072,902,178,353,633,923,513,491,537,755,
069,446,084,707,721,217,461,197,830,812,267,407,335,522,247,503,901,730,553,
766,969,986,179,921,771,704,790,466,943,090,172,881,091,772,728,682,100,805,
116,693,121,329,519,259,669,095,953,936,619,099,129,228,148,604,833,474,893,
477,791,574,341,144,278,382,680,114,700,953,870,438,840,968,695,146,640,031,
725,149,870,655,467,179,979,701,827,484,961,861,959,281,241,426,024,812,152,
346,677,078,495,463,350,688,361,568,233,004,047,206,936,088,051,208,673,778,
500,367,261,680,248,122,985,361,948,319,433,586,968,780,665,802,801,213,612,
495,277,292,772,546,054,062,217,045,250,114,375,409,352,950,501,447,369,404,
338,445,644,093,564,935,145,604,341,145,202,284,606,481,442,270,168,443,966,
076,430,531,403,724,138,478,535,490,367,315,266,119,343,705,501,348,044,790,
475,563,584,719,847,948,129,377,965,728,040,531,525,046,451,444,977,229,479,
867,574,542,121,835,028,342,486,646,729,069,612,380,192,640,038,470,196,847,
962,363,574,974,379,367,872,435,196,898,494,248,026,659,992,162,152,785,144,
262,833,705,800,823,547,552,640,412,539,320,726,014,222,634,879,126,075,466,
841,447,560,619,590,702,389,480,307,828,148,781,322,482,587,942,445,642,716,
326,572,835,576,465,284,717,110,918,075,573,926,515,198,009,281,752,635,429,
397,693,543,876,761,889,705,334,620,161,842,093,842,466,752,051,016,704,119,
351,608,135,434,236,088,367,030,212,955,201,066,808,654,231,276,587,264,913,
289,090,301,025,594,315,250,447,560,322,990,089,705,722,779,779,385,541,217,
769,381,121,425,703,941,747,344,484,399,109,854,893,764,125,049,113,103,539,
330,477,987,928,858,373,186,326,497,245,304,329,761,918,790,177,979,072,892,
321,329,362,202,511,215,069,099,646,909,063,474,093,931,347,756,352,247,603,
858,635,259,760,366,219,177,357,928,888,754,188,030,146,632,047,395,700,945,
064,373,877,025,064,581,101,764,191,226,787,306,310,791,135,994,559,909,331,
389,769,927,119,206,857,382,354,932,859,573,032,475,318,734,940,080,578,995,
838,415,245,126,192,519,216,973,069,282,640,131,198,006,115,949,665,400,773,
172,175,916,991,206,605,609,621,090,402,457,301,553,063,205,813,646,639,942,
931,152,990,171,994,396,042,400,188,830,296,327,756,263,967,700,966,976,963,
155,925,694,292,181,713,834,009,285,559,165,390,245,126,163,759,978,651,196,
098,812,288,409,736,708,306,175,353,533,062,438,410,248,758,135,721,032,551,
885,108,417,684,956,684,733,077,393,466,903,978,362,746,084,454,754,374,518,
966,605,622,612,206,952,550,234,368,411,818,279,524,640,155,743,343,523,602,
410,147,615,244,444,534,598,132,836,797,068,922,522,856,933,211,477,353,461,
481,626,189,474,093,355,017,282,848,922,014,707,464,040,449,898,654,013,155,
207,418,053,091,257,208,351,804,356,512,298,879,489,048,010,391,607,605,533,
649,991,931,002,248,133,865,502,031,514,112,143,800,794,840,085,833,584,276,
391,579,320,936,041,084,067,384,258,933,728,078,534,682,707,332,523,314,824,
147,554,563,228,993,283,209,382,725,592,911,357,719,167,579,628,124,469,262,
544,114,454,054,235,342,480,787,173,000,689,819,767,129,545,251,544,467,820,
437,474,167,297,969,140,704,101,896,612,670,506,052,637,691,312,109,492,416,
854,175,139,905,143,331,059,877,347,076,545,800,338,916,286,762,550,041,427,
862,245,506,767,661,028,465,779,724,291,228,849,361,339,171,514,974,002,125,
432,270,918,120,217,738,149,714,928,159,610,146,608,925,699,590,967,077,792,
292,255,290,112,476,739,646,694,164,572,408,512,108,047,369,322,086,159,034,
557,232,212,099,020,573,244,303,585,923,715,560,357,214,835,244,310,080,219,
790,073,093,436,566,915,357,082,399,106,932,669,425,189,353,111,639,190,745,
414,390,195,728,823,289,873,676,893,323,091,450,251,523,703,363,885,451,651,
649,207,681,842,600,635,681,288,448,829,493,619,648,659,376,161,309,538,141,
939,898,831,974,009,267,161,996,787,538,973,918,659,614,976,682,257,271,560,
564,617,668,698,375,674,233,507,308,518,437,140,022,369,731,916,247,653,150,
463,176,023,790,530,693,532,077,995,185,792,097,020,528,401,259,655,473,750,
110,582,871,059,140,428,690,253,764,776,018,022,967,143,249,587,718,930,226,
131,640,391,928,129,459,178,687,692,794,632,929,472,771,000,368,225,118,565,
169,515,335,603,272,690,566,304,975,659,222,234,705,537,033,341,352,580,036,
193,779,892,842,710,308,997,429,886,053,526,325,874,795,045,194,292,257,424,
998,925,918,731,260,553,709,704,770,167,969,522,434,981,536,231,920,878,173,
060,209,086,478,016,302,769,871,625,005,432,041,593,973,268,976,880,533,807,
837,339,012,571,125,095,663,260,901,302,761,041,559,157,309,831,073,777,492,
973,655,847,325,125,877,890,631,932,411,121,204,278,277,303,609,848,049,164,
304,012,414,902,902,500,091,379,175,885,936,126,284,275,498,847,405,994,060,
652,007,261,093,420,285,378,990,262,010,838,338,363,096,890,120,959,130,475,
571,493,910,361,270,537,554,009,671,675,686,504,289,862,454,790,616,053,782,
472,989,180,055,676,283,534,718,252,450,557,435,157,718,544,256,789,351,795,
164,541,196,832,485,983,888,323,405,074,970,419,223,804,501,869,573,139,656,
483,705,962,036,214,369,296,906,188,730,994,261,481,256,211,329,074,012,507,
874,795,904,357,773,930,482,760,399,867,777,186,328,913,016,247,691,502,584,
543,420,945,625,534,157,732,968,162,176,084,232,460,946,007,727,945,980,322,
346,349,262,642,074,234,206,543,530,573,053,923,473,892,315,729,182,527,979,
446,017,324,099,228,504,459,212,550,030,068,185,840,381,679,862,424,172,571,
215,628,628,072,521,950,391,822,187,085,108,930,036,003,076,633,374,651,597,
758,211,668,035,635,022,271,749,257,078,072,002,328,471,699,815,144,651,557,
086,092,806,518,596,755,218,664,813,347,353,809,091,121,258,089,750,071,528,
119,919,488,143,419,257,805,682,999,161,777,639,867,191,400,961,498,475,922,
207,922,685,965,852,134,340,016,343,986,796,170,114,261,171,030,791,940,289,
772,703,734,877,653,038,832,207,897,136,592,435,876,079,443,338,524,417,515,
839,555,323,131,765,222,661,656,761,223,819,686,482,727,839,619,756,734,663,
234,314,748,186,593,666,990,787,589,784,932,998,775,018,510,842,337,260,296,
928,940,958,609,548,214,330,143,399,044,425,183,026,561,290,585,011,347,440,
828,088,848,785,257,624,122,152,229,315,991,488,829,329,892,204,425,833,361,
916,274,137,543,414,302,943,144,545,719,980,894,815,829,289,729,233,507,093,
747,850,192,850,135,957,386,996,418,683,464,235,422,536,326,492,059,847,562,
749,055,502,042,268,058,761,258,552,697,988,042,711,213,405,059,807,072,781,
140,307,758,339,617,340,748,222,529,082,743,782,524,194,098,323,327,208,026,
915,264,143,425,593,108,966,308,041,632,031,541,509,796,578,071,155,069,700,
341,515,312,054,976,655,664,985,940,612,726,616,797,558,390,208,763,630,968,
337,966,696,012,436,631,779,731,966,168,954,768,789,109,617,507,372,901,296,
415,900,284,314,136,198,791,659,668,884,761,435,667,978,878,906,150,172,957,
149,244,430,470,604,950,290,493,851,483,215,048,134,535,032,375,314,051,526,
569,800,923,790,014,875,784,011,747,472,849,419,726,140,933,334,316,871,684,
460,949,951,653,466,081,965,097,488,435,142,022,462,973,398,185,379,350,320,
491,753,701,419,480,860,134,171,155,728,104,592,964,065,698,475,333,689,219,
578,539,957,128,093,869,628,143,693,254,324,104,356,808,814,054,014,190,978,
229,315,054,753,598,745,111,409,894,897,764,765,703,250,732,145,235,966,781,
627,685,291,779,675,723,842,050,630,685,377,829,098,787,582,497,143,287,375,
044,312,749,493,405,118,590,343,769,332,381,441,836,900,790,092,863,386,368,
418,152,641,373,839,732,542,859,562,218,904,236,712,431,900,878,085,445,240,
549,672,416,067,307,226,450,364,124,289,034,810,158,117,944,451,044,412,727,
150,487,540,513,929,801,602,134,751,399,314,779,659,885,562,763,158,698,521,
419,282,996,595,849,299,579,299,491,003,968,191,485,911,494,099,563,863,734,
231,607,295,899,145,302,782,531,933,791,891,535,253,387,284,065,113,483,995,
981,866,453,884,474,453,591,217,031,373,454,889,524,221,566,237,046,071,759,
645,890,748,965,333,474,581,390,623,846,100,543,852,717,069,616,057,138,016,
535,351,608,187,402,043,734,027,206,959,141,490,758,922,680,221,745,481,251,
381,915,445,844,156,516,779,666,755,724,354,954,756,504,443,110,464,047,289,
658,194,891,622,279,086,688,570,059,617,469,810,891,864,744,270,323,298,051,
814,789,488,184,602,631,512,769,026,220,239,754,899,438,899,373,710,772,806,
350,488,528,266,337,168,650,519,120,231,696,204,196,383,521,045,306,042,742,
928,884,827,877,389,883,250,788,837,416,406,408,035,297,652,460,680,997,303,
147,001,759,872,811,273,441,147,576,703,788,211,289,041,907,496,337,900,417,
926,071,987,072,369,437,135,388,022,416,895,113,969,407,128,073,480,659,314,
308,726,990,640,197,486,092,352,471,322,459,971,170,606,970,971,782,882,654,
278,204,246,086,094,773,720,813,095,981,411,805,949,292,680,400,061,446,952,
857,424,673,497,297,256,031,904,440,022,099,090,893,538,698,123,325,535,461,
294,067,562,014,301,074,546,477,486,151,580,960,085,685,476,321,815,003,783,
355,316,462,502,866,869,611,364,498,490,401,645,885,378,138,782,793,033,906,
861,490,978,817,093,997,861,576,848,399,782,745,558,303,692,283,585,750,144,
356,146,484,181,767,947,313,679,844,876,049,800,275,712,669,046,636,508,810,
896,617,552,347,832,979,713,845,824,742,310,662,945,171,690,424,528,725,889,
331,215,453,698,319,050,149,860,105,899,665,898,580,417,007,590,857,644,419,
632,191,579,467,753,332,545,259,383,373,430,980,040,681,649,637,259,659,374,
525,716,787,884,671,777,653,520,975,968,273,082,017,276,735,166,723,062,790,
361,595,597,363,215,278,813,427,556,506,182,775,521,796,212,213,267,638,615,
640,152,118,656,028,663,230,335,205,010,171,168,241,949,174,750,212,149,511,
044,048,385,534,152,508,296,220,707,488,927,677,440,881,808,751,446,802,000,
431,662,968,972,702,087,300,492,494,902,116,957,607,096,167,966,154,988,838,
906,483,429,211,908,371,916,254,754,211,219,154,754,735,125,874,882,561,171,
307,709,557,909,986,166,868,882,932,831,854,784,984,888,990,455,186,076,499,
325,253,236,173,898,167,424,908,341,579,476,575,240,678,864,963,053,252,876,
022,540,348,710,424,429,264,234,988,165,870,695,523,842,093,100,720,089,036,
748,355,780,959,861,269,105,807,456,207,583,477,851,421,835,942,529,946,513,
339,258,457,164,642,900,448,895,681,574,362,308,920,633,699,691,192,786,726,
064,958,954,861,004,798,156,221,022,170,540,792,496,272,190,509,402,776,684,
514,662,651,033,043,701,004,403,840,875,264,665,439,721,660,586,862,804,677,
247,592,365,716,100,284,047,347,412,899,542,470,052,770,385,969,607,274,954,
109,613,342,750,791,363,019,728,835,967,162,602,014,770,576,461,099,551,779,
084,036,205,906,298,529,854,889,214,142,787,663,665,508,845,599,072,336,949,
168,877,258,470,718,997,149,697,915,899,152,513,595,516,833,665,906,522,376,
529,184,967,102,777,460,602,452,298,525,408,281,690,050,536,969,094,450,829,
697,866,918,551,313,813,131,772,884,102,895,295,457,435,932,941,807,927,227,
861,893,619,848,966,601,521,596,514,472,607,126,290,449,754,571,168,441,212,
643,550,679,479,777,468,445,176,355,167,371,008,668,468,503,050,305,817,545,
043,564,693,872,978,974,625,667,269,763,125,950,415,776,247,325,626,902,210,
185,170,867,117,036,336,949,559,440,120,261,817,626,547,156,069,196,062,645,
408,368,510,041,434,848,948,744,111,676,413,012,627,367,671,599,936,841,947,
289,588,253,766,100,458,330,193,275,913,215,146,284,528,248,328,694,630,806,
158,704,410,709,632,704,016,973,985,254,475,263,622,331,920,338,710,452,779,
836,321,121,755,088,664,774,508,495,433,928,881,036,080,354,871,675,575,077,
639,854,210,828,980,650,497,328,866,040,079,669,716,736,614,156,711,467,971,
425,099,288,334,861,890,204,609,998,732,369,171,311,376,696,771,144,930,588,
239,215,713,045,554,919,035,476,290,679,159,819,003,928,293,095,938,721,320,
654,446,898,193,372,288,433,267,776,193,667,184,340,708,503,575,558,692,297,
672,948,388,876,049,186,728,653,000,716,270,085,734,724,499,332,985,759,933,
915,925,342,351,848,763,506,403,648,048,142,710,958,413,500,743,148,967,093,
423,089,600,693,854,149,074,845,197,658,877,764,389,224,092,012,222,530,044,
783,512,241,854,585,208,410,446,827,350,897,256,526,972,266,209,249,107,181,
908,167,705,741,457,423,142,425,440,959,993,604,409,823,840,037,372,472,361,
159,155,476,234,365,846,192,460,438,799,820,507,072,874,507,497,935,990,180,
066,116,188,469,023,418,879,272,723,336,755,834,453,022,984,981,130,660,626,
776,717,173,744,523,032,831,055,100,404,990,499,499,159,843,925,999,157,681,
729,576,342,840,131,032,514,318,155,256,814,977,072,103,517,026,522,349,177,
631,510,468,397,394,250,130,316,833,002,471,641,392,913,047,422,922,248,827,
064,000,571,250,050,665,524,786,252,334,072,316,331,792,306,577,442,828,459,
353,231,877,207,316,147,268,098,584,029,533,360,378,177,988,535,360,289,011,
167,443,909,073,373,594,311,735,160,262,675,807,169,747,111,916,020,308,875,
874,289,476,343,063,935,975,284,473,597,924,071,567,086,947,681,886,140,997,
715,927,573,603,877,664,921,295,121,718,370,571,445,585,066,800,149,758,516,
601,874,913,188,710,061,757,498,812,928,810,503,098,402,215,764,634,012,668,
589,545,858,830,320,175,100,440,871,477,180,810,567,260,443,462,996,635,338,
931,636,057,159,774,458,767,258,083,849,389,299,494,362,930,059,997,403,456,
362,056,169,184,569,376,496,224,468,891,725,895,539,260,151,512,089,750,339,
750,674,816,794,258,918,139,750,824,548,808,733,677,422,668,360,711,291,151,
144,690,417,262,304,181,649,036,715,654,367,670,486,340,836,680,930,558,567,
775,855,387,633,325,254,011,764,499,088,899,230,120,102,284,816,278,544,689,
546,072,947,246,155,429,496,279,502,641,540,426,684,032,478,246,924,152,378,
855,186,983,532,731,019,640,325,478,764,793,210,789,228,049,706,083,850,421,
027,557,450,897,438,364,272,784,461,444,430,088,362,998,948,890,784,362,105,
523,245,249,272,797,925,475,466,324,895,042,414,944,358,817,055,292,008,917,
368,910,487,193,105,805,922,845,245,261,185,834,533,022,547,472,893,913,544,
293,242,447,348,679,566,162,624,548,977,208,946,911,296,678,946,144,463,934,
721,044,118,709,238,596,671,110,987,119,065,529,081,662,759,714,402,842,434,
431,175,520,095,610,523,398,592,829,958,154,997,456,633,681,749,293,710,409,
399,560,755,651,011,428,925,848,704,430,722,125,668,278,014,185,744,575,127,
914,141,834,830,256,233,807,899,018,315,310,176,696,911,595,483,192,109,064,
732,896,425,069,680,050,803,190,820,966,674,110,761,906,452,705,154,018,882,
963,636,886,141,907,838,623,744,616,118,991,607,770,995,537,500,097,856,383,
522,196,923,728,604,676,589,957,437,676,529,903,877,157,158,003,266,689,466,
470,927,668,506,232,502,797,856,439,319,151,423,653,019,720,369,951,502,722,
383,449,602,064,592,228,379,233,801,085,720,314,553,094,713,688,909,400,563,
718,836,557,716,609,416,909,231,129,604,826,316,757,529,935,502,360,421,817,
067,756,150,139,058,728,863,827,991,837,018,528,687,425,666,308,983,786,117,
821,101,705,580,007,407,711,326,123,796,767,431,886,777,528,885,660,594,935,
848,622,496,023,055,489,111,458,393,232,142,654,286,756,319,510,058,377,852,
621,636,707,107,342,085,473,935,025,563,507,477,352,616,964,758,439,531,346,
558,245,493,596,431,756,085,261,146,439,906,344,052,259,743,903,572,369,331,
561,852,474,030,100,605,123,911,123,698,908,274,383,010,871,735,975,219,093,
544,884,893,903,053,676,960,026,455,177,298,989,916,989,428,473,996,367,904,
280,969,879,284,925,509,312,445,063,269,312,636,850,864,136,433,101,125,059,
955,299,374,320,270,184,599,374,438,387,127,343,831,275,460,448,051,592,111,
152,545,308,453,136,045,316,596,070,954,831,309,810,181,045,085,162,943,331,
887,986,007,179,331,533,294,106,502,882,149,418,060,386,020,950,208,267,338,
589,109,434,162,250,729,512,216,005,879,830,287,880,252,315,033,327,219,977,
819,920,990,488,661,432,166,908,354,566,127,274,002,401,578,669,169,322,487,
244,029,814,138,652,444,905,485,596,458,389,353,755,929,819,690,463,103,823,
665,949,719,718,003,173,897,811,008,023,308,759,936,252,057,940,506,696,605,
593,673,784,974,026,469,190,662,917,417,722,131,940,027,255,164,825,888,814,
107,678,534,338,582,282,704,059,378,874,927,642,583,602,552,864,643,282,441,
781,505,588,193,709,580,281,960,984,607,991,695,888,514,522,213,917,743,261,
912,259,499,160,162,624,224,519,640,959,695,902,586,706,805,837,564,919,716,
597,281,336,964,283,084,104,632,569,565,920,320,039,443,553,529,346,744,712,
111,555,131,074,590,657,426,195,891,789,006,653,972,124,522,649,306,455,916,
866,399,375,920,715,650,702,327,352,855,138,093,351,476,529,377,860,148,774,
259,124,576,176,785,868,137,075,681,642,773,623,968,278,957,414,667,043,890,
644,567,897,273,554,344,954,196,422,282,131,768,182,768,674,556,367,969,446,
841,150,508,357,551,865,635,311,122,038,044,523,438,374,630,536,014,129,044,
507,168,388,321,164,194,286,289,865,259,396,422,290,854,921,718,643,180,240,
469,112,706,978,669,743,498,217,037,587,723,635,878,304,825,344,212,695,891,
304,022,827,612,549,241,709,616,889,239,561,200,982,878,864,562,073,282,829,
753,144,397,005,909,223,107,613,642,426,366,642,657,984,899,887,533,443,535,
816,391,075,175,511,284,216,115,807,575,909,350,975,856,378,402,541,331,866,
807,216,271,629,949,621,443,888,101,448,580,044,417,924,718,025,149,156,207,
261,263,248,534,442,109,017,938,071,825,468,230,172,776,512,131,131,107,396,
764,677,137,743,493,876,002,545,870,804,003,758,361,545,649,957,472,799,601,
085,390,157,128,613,682,449,256,346,684,637,581,822,073,287,408,637,000,735,
608,014,335,081,465,063,882,955,285,528,820,479,811,837,061,032,104,790,043,
212,558,529,801,317,414,852,317,254,350,100,529,658,179,733,650,424,190,162,
516,701,516,549,840,969,311,721,556,882,159,081,505,528,161,567,503,504,493,
222,194,670,680,186,002,121,693,047,001,639,819,728,255,856,473,276,157,453,
424,542,475,691,450,156,223,441,020,970,776,007,984,506,769,634,051,284,627,
652,726,321,164,877,100,085,450,880,430,813,989,541,806,218,771,673,603,515,
064,214,798,186,317,026,373,603,432,991,699,711,150,523,551,179,962,493,301,
026,021,920,589,779,705,408,295,226,836,277,823,678,523,375,096,244,834,931,
774,354,443,078,665,356,688,043,241,235,250,143,798,390,055,788,466,934,062,
485,163,181,023,986,984,804,554,618,842,990,612,852,274,668,073,498,580,472,
247,767,051,351,876,065,594,559,346,657,815,999,091,835,314,578,862,169,231,
800,092,723,219,431,936,508,707,780,620,396,279,077,350,642,009,083,970,218,
664,952,972,712,865,391,617,973,731,702,199,189,920,290,419,787,095,414,387,
345,344,946,437,351,914,500,713,163,512,487,362,218,947,244,755,674,873,142,
079,148,010,989,155,779,372,407,205,105,041,543,158,659,228,462,101,948,235,
619,789,774,809,065,023,640,356,748,507,329,685,534,209,628,387,419,069,963,
862,858,717,173,636,805,371,811,111,980,319,770,731,380,345,113,180,058,486,
287,323,119,911,006,790,079,352,632,121,967,712,102,896,834,882,877,163,793,
308,637,580,765,934,272,458,503,036,628,238,977,508,540,856,357,230,901,156,
337,180,483,930,441,788,806,197,741,560,895,245,676,334,893,916,556,470,166,
213,503,372,519,855,924,041,653,977,302,848,526,767,816,677,231,947,813,096,
502,031,009,777,216,986,697,115,851,266,260,530,948,114,846,429,932,024,582,
721,934,808,923,033,864,058,201,108,745,724,170,662,431,960,183,022,881,354,
069,765,028,453,663,785,844,105,815,894,125,255,790,912,060,364,655,647,810,
946,517,362,769,460,812,610,054,298,282,439,425,230,769,716,558,655,769,852,
134,019,373,997,879,108,776,475,022,559,512,620,972,154,617,517,767,816,544,
664,615,734,480,595,853,059,806,325,157,291,008,912,854,313,093,334,153,306,
583,410,836,277,498,297,248,445,835,180,607,560,242,697,136,268,252,853,898,
899,022,729,475,366,882,285,087,601,151,494,151,119,660,983,094,441,939,176,
212,936,545,101,122,044,031,983,567,697,485,660,892,694,705,492,742,707,813,
490,158,900,429,019,162,183,852,522,359,939,283,409,189,231,976,783,326,083,
969,879,664,582,928,931,621,683,764,104,250,284,162,255,960,243,745,890,777,
228,043,222,626,486,347,016,350,454,006,433,140,261,523,722,067,430,885,687,
847,969,546,845,451,241,650,179,859,767,745,037,639,054,885,550,785,701,783,
378,735,818,898,652,432,408,445,412,948,331,860,104,885,735,473,470,074,385,
939,809,871,507,925,366,159,909,904,119,855,982,053,755,507,435,420,393,921,
977,902,493,096,825,448,903,361,768,268,469,519,593,783,139,956,927,087,188,
073,421,825,524,457,459,209,354,577,918,470,847,961,158,898,602,585,587,364,
758,878,291,596,543,856,184,306,434,386,464,317,617,689,385,034,941,002,954,
738,354,063,745,908,705,197,131,877,029,063,307,071,976,575,414,127,755,967,
834,092,249,145,612,084,233,126,255,438,279,992,071,326,262,130,110,148,590,
378,155,103,621,388,223,371,155,386,554,413,346,093,932,871,627,108,314,675,
618,862,265,325,247,026,408,803,012,282,741,381,479,801,305,019,814,553,420,
782,100,661,433,313,552,901,005,809,283,638,883,842,336,907,991,138,113,352,
986,569,887,853,341,865,067,022,866,472,596,808,799,485,140,288,381,868,087,
393,659,820,544,888,485,302,980,177,860,472,197,013,837,200,138,867,198,655,
177,017,649,137,752,312,233,535,472,941,246,566,988,789,257,816,830,279,329,
123,880,852,525,517,003,925,741,732,382,654,207,131,289,617,750,958,154,931,
536,231,383,047,799,737,187,682,784,365,429,585,107,760,227,635,533,882,301,
478,567,420,250,170,997,409,060,918,953,197,563,597,642,662,879,672,061,935,
420,979,917,231,108,214,119,667,044,919,990,028,808,287,391,834,128,027,730,
128,851,425,906,604,950,162,266,833,131,888,575,768,473,506,947,706,005,524,
742,714,985,129,970,404,649,097,449,146,158,252,660,444,081,290,025,389,773,
587,164,099,513,876,658,191,492,152,464,981,876,959,292,906,728,141,825,588,
655,200,443,000,340,108,014,031,315,159,029,337,787,570,414,297,925,690,864,
921,103,899,293,537,857,950,901,466,712,638,453,154,279,231,836,959,486,900,
223,569,205,997,422,661,390,567,666,554,570,143,423,678,571,309,363,541,502,
349,526,994,081,068,804,079,375,204,233,919,073,893,614,368,824,629,555,115,
249,636,740,774,169,175,282,797,768,209,024,175,396,979,556,020,288,850,997,
278,068,861,798,095,249,519,421,315,617,668,737,711,768,797,023,512,933,042,
863,595,165,730,510,580,091,040,305,870,932,896,585,063,137,557,056,517,965,
944,706,801,400,840,284,283,417,046,770,220,427,072,585,062,082,514,588,738,
460,400,215,682,074,412,909,741,300,738,063,217,846,314,241,330,014,996,495,
146,901,577,878,060,369,891,827,028,747,362,038,375,561,992,056,881,744,573,
457,817,454,778,549,182,513,610,526,729,324,203,692,331,343,908,477,697,633,
190,768,606,341,252,030,338,213,769,790,361,689,356,266,505,597,581,922,616,
446,332,572,111,854,940,356,721,198,521,078,689,780,684,074,199,551,477,567,
473,007,833,530,100,721,187,246,444,020,876,575,159,049,246,645,371,814,029,
908,933,549,172,983,606,204,768,982,579,263,063,441,020,870,348,967,329,407,
006,019,549,456,349,121,484,151,868,538,880,348,998,756,096,701,469,852,216,
813,285,146,094,082,400,053,036,064,641,800,393,429,304,598,931,123,215,836,
529,817,899,014,546,171,443,082,823,915,968,776,128,882,240,624,901,623,353,
251,714,452,200,352,349,860,027,342,971,880,794,519,372,218,145,751,614,524,
537,158,875,638,690,778,787,222,591,091,536,028,356,303,102,032,799,665,959,
746,937,842,173,030,581,589,192,147,159,565,529,340,713,491,895,234,748,776,
758,767,845,823,124,922,583,748,089,706,646,651,476,143,599,228,951,070,435,
110,975,683,320,264,204,454,166,823,464,872,911,450,781,165,034,159,024,991,
409,047,646,496,275,737,175,199,250,717,263,441,813,145,162,512,026,054,041,
082,302,540,735,337,017,992,505,366,510,794,295,854,304,326,030,639,765,219,
835,311,039,885,532,246,125,245,871,722,782,397,506,519,115,066,353,461,812,
054,035,173,858,529,600,243,441,831,615,976,617,000,158,328,887,049,979,795,
816,804,086,284,268,316,568,729,943,935,871,405,973,354,068,593,193,521,190,
434,687,748,445,801,464,206,026,829,779,008,262,861,179,376,377,974,844,999,
321,294,066,698,188,532,113,201,681,311,514,876,554,958,059,184,739,927,570,
008,752,244,914,131,196,830,866,317,438,157,187,701,355,920,572,090,432,021,
291,884,168,004,468,548,558,501,825,397,372,818,865,282,062,504,854,747,450,
403,686,548,079,940,246,134,912,507,645,906,873,305,120,644,435,556,261,660,
586,022,929,824,825,701,224,834,938,182,187,023,955,685,355,611,370,682,925,
181,670,511,494,741,267,383,320,639,172,559,981,621,996,489,394,732,908,951,
972,085,169,828,016,923,302,198,539,473,818,207,221,967,728,001,342,075,555,
859,763,346,229,588,837,719,000,047,184,108,586,255,326,111,016,781,559,778,
495,748,052,318,645,559,927,233,052,836,580,543,368,865,310,267,461,207,363,
484,053,126,059,506,725,470,451,718,184,685,254,839,026,945,142,847,969,233,
329,195,620,856,365,215,197,242,945,741,745,541,273,786,488,958,938,589,652,
680,725,012,943,515,718,757,622,178,761,964,093,715,484,748,733,410,227,558,
824,174,596,839,336,094,470,337,717,046,115,125,479,461,603,716,684,238,309,
752,343,860,079,169,533,908,977,161,132,156,102,773,493,026,431,329,812,724,
137,996,523,309,855,403,290,060,553,049,402,338,164,878,805,751,624,535,471,
570,400,815,440,635,890,718,937,664,786,378,271,446,284,956,468,900,878,516,
538,487,086,807,678,639,514,095,893,287,936,184,246,839,454,343,852,226,953,
423,270,252,953,516,663,010,287,735,458,175,349,610,370,024,498,867,418,868,
699,121,436,729,920,091,126,683,301,212,316,264,571,309,204,207,816,645,156,
371,488,750,528,638,959,854,880,897,159,277,749,920,685,436,188,418,726,073,
632,063,187,719,688,974,172,245,923,165,650,609,899,256,327,542,623,690,207,
204,075,696,292,333,729,302,509,117,553,596,491,921,296,219,712,659,156,576,
533,253,579,155,695,003,809,895,492,303,110,202,003,425,108,432,957,684,734,
464,438,181,296,220,241,952,949,296,855,613,724,336,158,097,894,154,195,607,
202,213,329,344,294,378,800,744,778,670,617,704,489,868,228,860,504,795,197,
752,831,552,024,692,728,833,926,458,910,250,103,966,113,879,881,689,759,734,
837,639,739,259,053,320,492,815,133,377,974,569,285,153,924,723,888,485,197,
443,971,902,849,566,475,367,775,278,724,967,423,721,604,374,880,407,423,039,
551,144,035,028,858,582,365,463,258,868,543,965,111,358,732,616,216,299,147,
828,212,251,881,501,026,557,835,943,113,530,964,950,022,848,494,656,672,116,
311,912,464,652,549,821,788,292,724,775,133,671,671,519,515,934,317,739,548,
667,446,542,870,014,762,408,306,531,265,096,350,730,199,188,467,427,161,213,
020,939,930,148,244,481,155,137,912,219,912,037,398,869,583,266,997,054,698,
983,700,591,171,610,698,090,546,772,223,197,835,088,563,972,892,814,774,853,
858,266,984,322,452,960,331,190,355,611,585,096,407,066,164,885,986,244,911,
897,669,717,433,695,531,472,562,346,031,137,734,413,243,222,047,484,585,603,
066,396,355,264,497,851,466,897,552,644,130,732,125,809,661,463,189,449,821,
948,038,199,867,989,917,300,588,321,086,853,108,988,010,027,659,377,901,110,
827,433,321,631,711,583,134,666,891,197,889,996,706,730,610,930,039,277,061,
441,425,769,332,292,894,694,357,673,991,573,877,656,819,739,067,719,996,182,
591,541,225,928,719,765,330,570,147,097,777,466,394,291,679,361,307,137,301,
120,447,008,122,272,316,228,519,071,974,969,167,048,015,863,326,194,922,515,
316,117,987,933,982,112,135,489,138,091,513,493,145,840,178,769,275,899,996,
846,599,236,149,081,581,156,751,672,282,702,011,760,342,685,781,692,625,400,
057,288,712,726,181,235,704,294,120,483,728,028,469,345,943,404,032,117,968,
240,165,629,037,815,348,298,626,434,676,429,214,253,522,561,121,308,984,284,
180,008,606,720,792,789,711,993,886,817,773,476,702,012,661,876,111,450,993,
914,393,563,382,252,786,727,950,949,108,860,282,204,351,575,443,188,599,078,
504,938,464,555,210,874,006,376,347,726,955,121,339,797,727,632,223,013,211,
668,676,718,841,578,913,114,143,306,882,594,029,102,960,726,862,937,702,561,
892,384,752,514,443,682,282,802,787,770,582,285,294,081,741,736,828,729,084,
978,435,646,037,876,871,209,454,445,333,022,060,410,470,398,400,706,075,746,
374,619,150,194,902,169,033,569,538,293,728,556,712,232,874,222,416,976,052,
761,856,265,502,781,334,871,240,845,876,159,257,367,203,032,570,322,672,728,
757,854,470,613,305,217,485,866,107,974,602,629,870,577,211,590,499,396,064,
843,313,265,765,230,099,932,301,768,193,075,954,979,762,218,009,086,430,952,
464,343,102,670,282,796,403,742,955,860,302,125,944,542,815,017,690,107,666,
408,075,246,102,050,220,502,510,551,090,486,521,821,981,220,781,660,719,578,
030,869,365,726,639,119,916,551,997,783,816,050,838,893,358,638,842,236,261,
338,309,985,068,546,531,887,594,360,722,217,534,552,455,644,776,292,238,435,
331,561,524,212,096,373,579,807,996,194,979,799,679,357,260,904,711,891,634,
376,176,930,685,410,136,130,723,770,009,917,070,495,769,044,035,081,619,900,
391,210,359,354,787,087,397,996,127,326,321,070,039,471,653,546,243,830,216,
236,228,663,736,669,132,128,353,034,683,137,013,436,552,190,777,624,726,646,
758,748,466,045,066,044,301,346,517,026,910,637,680,404,397,693,363,282,674,
357,899,000,980,960,968,906,500,806,930,353,071,951,865,622,121,879,287,068,
066,697,170,543,922,690,896,799,175,688,027,220,812,069,676,982,846,936,020,
291,863,309,935,310,066,709,969,184,965,343,428,321,693,524,474,137,441,981,
855,878,104,140,767,146,224,541,909,750,680,087,835,187,747,875,808,965,087,
051,401,062,045,918,264,865,858,663,366,281,721,105,342,871,521,846,836,142,
585,357,548,027,333,630,712,893,294,066,504,109,304,390,633,859,095,349,681,
950,545,693,781,577,430,481,172,461,306,945,481,471,594,041,566,053,027,500,
390,499,325,643,561,639,573,798,624,307,237,410,824,420,916,207,972,471,696,
582,350,746,620,896,419,142,031,175,164,455,272,911,174,531,596,233,634,641,
660,544,004,583,967,621,252,696,908,979,992,497,154,645,916,126,180,263,573,
269,601,764,137,371,676,125,693,984,771,833,186,976,397,843,228,218,148,515,
263,597,391,968,533,808,459,991,644,667,111,196,182,784,976,446,392,276,321,
665,970,956,725,263,203,784,306,495,017,069,233,212,791,843,931,931,872,955,
665,410,848,990,521,046,713,965,240,415,534,872,172,494,894,463,953,460,441,
560,755,395,108,018,482,245,716,986,951,029,229,688,213,162,082,910,004,465,
207,540,279,071,122,838,915,468,691,788,399,246,365,521,537,026,676,710,057,
440,728,588,519,090,338,270,228,051,446,069,313,464,506,867,767,390,099,944,
256,096,669,870,613,468,768,895,271,218,383,683,518,983,509,638,973,488,789,
806,326,826,080,198,409,616,003,352,206,236,338,219,675,688,611,018,074,039,
580,155,762,663,723,458,518,757,148,639,456,399,021,299,993,419,947,987,821,
997,351,280,151,869,708,721,662,112,160,550,298,685,367,006,365,513,306,746,
507,889,512,699,686,518,986,076,600,886,674,014,801,071,046,262,041,349,884,
755,851,476,457,616,823,115,559,293,481,112,769,675,692,852,748,107,970,230,
927,164,752,871,544,354,826,809,128,218,424,617,259,303,984,178,953,499,113,
107,904,333,986,366,161,457,462,191,935,009,074,840,420,436,246,373,466,814,
206,655,011,205,432,396,395,234,437,451,868,847,945,214,001,033,887,192,905,
635,582,107,713,291,627,620,625,584,889,141,288,133,626,751,509,253,800,887,
447,675,145,805,504,116,109,457,841,701,274,413,922,917,781,168,296,406,881,
086,960,597,025,964,599,242,205,352,558,006,183,936,030,991,808,166,356,550,
013,141,721,907,083,397,957,833,433,312,535,067,100,655,865,716,133,832,510,
294,006,368,357,332,227,572,203,144,776,773,167,123,123,232,005,021,683,495,
703,800,853,240,063,368,762,422,151,761,457,352,621,901,763,367,765,208,630,
152,262,754,631,526,831,702,374,183,601,358,289,814,403,165,776,986,495,160,
801,885,651,929,465,789,499,033,195,675,053,598,391,868,670,939,381,972,810,
704,994,905,378,409,055,932,760,171,375,731,092,003,897,802,981,688,618,489,
200,273,811,711,871,602,193,464,967,790,806,177,753,019,297,276,995,071,571,
940,320,774,277,427,132,288,968,046,845,092,717,861,171,269,893,008,076,178,
244,872,494,391,607,221,875,065,189,157,653,689,636,432,608,075,859,789,826,
115,135,614,917,950,187,605,317,631,669,013,967,571,521,732,225,058,957,471,
869,458,673,214,109,373,721,313,319,590,663,041,032,965,531,576,819,292,966,
687,976,978,430,799,095,222,033,516,832,615,474,216,284,597,308,631,934,715,
815,611,046,369,690,293,415,964,319,031,044,977,928,851,202,405,880,904,747,
332,883,250,133,051,956,698,326,459,670,268,862,207,292,251,120,202,773,475,
358,431,269,747,651,619,384,935,273,531,949,813,485,333,275,687,117,060,423,
556,374,609,523,656,886,566,719,057,059,980,659,521,427,561,913,730,147,391,
878,822,950,139,437,445,605,977,348,339,414,295,645,324,807,606,231,310,055,
994,999,009,374,642,606,967,818,417,328,184,426,435,942,778,134,533,587,298,
290,784,921,769,860,563,359,889,163,250,188,758,883,616,924,341,264,924,226,
345,100,154,934,448,439,695,012,626,743,084,294,139,972,525,153,753,332,485,
147,553,444,554,918,017,247,492,372,241,037,742,391,086,152,223,107,159,652,
565,358,196,320,868,433,844,433,770,443,684,240,460,423,118,523,615,337,348,
491,665,740,544,688,770,363,361,037,400,937,221,024,065,824,135,980,314,578,
638,889,539,580,455,823,831,446,994,495,560,556,856,709,187,345,486,702,326,
223,042,160,269,240,303,899,139,764,759,559,418,052,016,726,886,165,827,232,
895,982,651,275,660,613,819,845,471,894,171,414,122,463,084,514,764,442,406,
353,097,662,561,414,683,013,581,933,318,901,896,415,087,249,757,447,522,381,
792,581,652,444,020,229,848,429,330,608,921,375,694,608,710,454,172,285,265,
511,567,375,124,874,547,699,824,445,177,550,801,394,013,334,398,157,694,917,
545,228,048,103,282,404,109,544,570,387,504,448,636,814,843,567,436,235,242,
838,029,244,947,002,875,763,683,758,174,838,925,719,939,604,936,208,913,618,
891,558,262,422,515,075,520,186,033,153,778,820,125,342,721,512,044,317,073,
224,568,708,761,044,565,050,509,055,432,909,431,725,694,200,767,402,938,112,
551,489,809,439,444,144,913,942,327,111,703,127,116,998,971,734,688,303,577,
374,404,024,656,657,295,017,737,066,914,451,941,925,980,357,576,416,609,822,
997,333,484,355,291,189,833,476,739,884,894,915,067,892,268,889,198,491,337,
850,980,823,333,693,653,330,475,539,443,404,534,045,401,333,843,060,433,514,
599,281,535,694,700,329,502,783,894,844,387,736,255,514,016,070,642,308,928,
042,365,929,620,493,829,385,455,142,231,978,189,928,504,734,743,124,326,817,
090,930,027,713,821,593,599,531,750,559,006,844,384,296,856,250,072,652,799,
056,634,851,814,800,056,643,711,888,042,127,961,942,866,209,109,847,409,730,
915,666,522,362,681,958,644,736,985,606,233,188,068,809,314,026,505,851,275,
566,861,936,227,135,160,811,767,239,812,902,422,970,301,947,716,723,747,571,
399,874,546,597,737,013,444,090,561,065,532,193,771,316,257,309,664,193,796,
720,264,203,784,346,237,003,923,250,475,824,565,845,284,988,810,698,275,884,
262,785,305,356,861,982,628,510,385,723,342,493,311,637,974,776,030,312,556,
662,261,645,503,495,738,047,053,058,142,841,838,647,080,980,159,790,035,184,
709,882,901,105,646,173,316,309,986,656,540,605,308,467,339,473,588,449,740,
302,855,927,755,496,247,039,069,270,607,009,025,149,453,808,870,766,691,476,
992,947,346,712,565,771,116,474,230,755,915,694,261,787,072,157,383,450,430,
241,288,752,931,782,352,716,694,263,347,951,396,605,023,519,041,967,320,640,
203,865,002,644,043,886,653,540,524,890,233,320,207,152,605,065,872,243,195,
313,524,907,741,957,326,023,840,324,706,004,712,782,547,159,486,948,076,052,
806,934,480,196,695,292,965,845,481,032,375,375,596,514,931,684,313,341,600,
402,924,306,942,676,379,326,063,394,641,181,810,519,719,213,222,728,686,812,
903,385,419,512,889,726,152,891,118,798,557,146,517,651,916,100,513,175,542,
258,774,457,813,687,516,414,455,847,541,621,363,633,007,451,059,914,778,118,
760,736,996,856,949,870,598,699,700,765,531,260,095,628,080,164,098,447,859,
450,031,710,651,691,008,408,145,209,816,481,609,683,795,334,227,914,949,624,
769,284,978,583,191,085,434,635,766,319,929,683,893,015,561,073,190,674,201,
482,139,736,861,637,760,252,816,681,240,565,601,226,229,789,563,144,152,009,
268,854,120,759,275,162,122,041,065,579,951,386,941,239,600,445,629,181,644,
032,415,726,848,187,519,711,538,540,829,768,339,542,506,833,957,092,930,727,
370,061,867,375,082,638,269,929,138,649,017,052,176,269,690,738,609,622,678,
189,753,007,791,170,970,772,745,869,549,192,961,103,943,663,074,961,507,570,
045,676,656,938,914,415,500,655,551,642,962,035,484,132,579,125,669,184,486,
305,693,159,493,172,110,348,542,052,110,194,428,676,349,783,767,690,474,084,
576,309,187,076,790,270,524,696,706,074,358,504,828,339,907,708,929,450,552,
208,087,710,803,652,919,056,919,693,284,451,592,370,920,497,665,443,376,656,
137,130,848,022,594,689,269,914,119,815,171,225,328,010,785,388,340,867,257,
177,246,765,166,691,147,216,572,667,064,563,884,438,530,498,290,594,327,574,
623,003,374,746,641,589,468,901,879,184,602,330,342,868,499,638,965,508,174,
810,487,694,641,271,286,085,470,469,984,782,746,786,283,349,948,708,407,277,
875,215,985,399,736,746,026,431,869,627,201,877,966,065,542,998,978,091,400,
041,755,350,620,257,737,873,440,429,128,370,541,059,994,023,937,755,311,934,
143,146,071,013,644,584,789,333,315,884,497,335,081,510,246,796,534,774,185,
313,249,269,688,160,348,492,013,449,149,403,175,632,037,220,646,585,639,458,
890,202,837,677,852,312,414,553,594,898,343,745,963,674,786,883,560,383,055,
202,580,321,176,165,585,485,526,189,521,963,375,240,589,226,256,168,670,210,
639,700,428,286,936,252,728,404,820,493,829,121,196,425,665,098,215,670,710,
450,808,337,561,728,237,598,128,769,779,313,982,449,961,774,107,873,089,153,
091,881,001,286,905,258,669,161,043,338,676,954,362,125,362,340,733,375,211,
091,981,896,675,430,463,858,020,410,158,813,571,790,220,647,925,374,748,355,
640,877,056,520,441,519,202,767,871,320,558,618,299,334,138,887,047,176,208,
047,904,651,752,235,708,002,961,445,308,494,193,678,839,155,483,453,498,996,
647,314,215,791,374,024,374,064,602,893,922,540,347,720,196,643,276,671,956,
173,695,232,577,876,971,834,281,059,629,902,739,908,166,260,575,679,220,249,
633,673,922,257,837,808,439,096,923,159,500,209,786,540,149,322,753,278,363,
483,326,057,854,803,912,025,665,390,755,573,282,641,623,996,196,667,629,455,
812,151,978,715,724,812,205,833,174,680,322,899,801,469,041,860,914,675,535,
699,159,327,964,482,006,384,943,778,088,831,544,651,167,932,270,680,121,750,
922,722,838,576,963,686,113,045,320,517,081,546,667,338,361,116,374,865,926,
976,131,407,927,930,381,235,701,607,746,170,791,847,828,913,158,953,780,029,
188,042,973,487,126,784,414,916,978,917,992,606,768,232,876,768,285,111,258,
307,623,807,391,112,893,663,019,372,322,165,211,785,249,516,035,511,546,583,
949,838,925,727,817,501,162,728,640,579,692,485,749,899,103,529,769,782,969,
476,444,932,775,548,078,660,670,007,531,803,435,927,379,054,738,349,752,538,
583,046,816,496,459,979,279,704,338,192,365,571,912,946,341,266,201,462,884,
687,473,884,628,071,497,791,522,437,837,797,476,486,228,898,190,050,600,425,
389,506,957,652,358,744,616,425,769,579,425,875,737,165,160,894,927,197,287,
800,192,968,945,012,965,773,287,379,897,791,756,579,524,586,143,036,591,946,
860,789,564,552,524,922,452,445,380,690,307,877,594,042,957,629,972,134,237,
703,798,178,402,205,393,921,595,619,992,257,318,239,970,103,862,489,981,770,
417,225,375,335,728,589,568,843,053,264,548,972,702,996,394,162,638,639,704,
466,786,414,179,883,971,554,829,829,606,260,770,518,976,479,981,589,061,516,
354,202,388,241,989,397,183,153,973,566,586,545,592,173,776,306,582,549,995,
836,625,889,163,241,278,412,285,029,588,844,967,348,037,002,583,422,403,239,
744,180,666,946,026,971,561,479,088,376,552,751,021,111,652,926,798,920,780,
978,397,858,618,851,923,604,826,885,427,595,214,836,756,704,868,128,029,523,
013,087,419,460,420,272,335,144,110,464,006,658,147,781,542,490,903,748,174,
900,289,346,811,005,225,822,720,028,629,110,974,617,164,301,249,362,311,668,
963,494,211,775,852,838,734,962,521,010,793,986,088,143,821,503,353,014,012,
650,606,350,573,026,906,221,415,343,279,154,340,612,911,354,017,068,118,092,
365,097,279,622,923,674,674,836,042,084,253,452,625,297,279,617,197,981,296,
067,445,830,073,566,336,648,936,651,505,531,918,995,413,673,113,273,827,296,
868,202,640,616,945,784,951,903,944,155,716,292,848,075,384,295,445,341,776,
515,587,268,411,454,810,620,660,842,830,829,193,747,495,745,223,112,034,294,
551,736,745,843,983,224,889,120,781,443,211,656,233,712,478,902,776,079,110,
821,451,485,058,943,502,835,832,890,458,570,053,191,769,286,980,106,576,886,
483,263,065,546,439,942,662,477,614,956,720,428,047,295,045,551,353,094,935,
714,120,010,565,437,240,754,564,682,134,076,085,911,402,420,545,241,555,303,
340,635,958,747,415,696,158,585,240,290,038,400,435,732,001,201,941,540,477,
307,920,007,277,260,675,086,863,203,627,572,868,190,257,612,256,735,998,683,
212,837,893,876,546,212,370,619,964,654,422,742,950,951,531,043,442,515,494,
992,892,492,205,606,689,830,123,997,125,793,211,919,853,584,736,912,826,814,
947,101,911,428,675,849,654,038,889,936,466,890,082,669,970,711,956,490,681,
680,589,433,894,088,048,329,163,097,298,148,111,782,038,372,692,681,336,054,
159,226,006,149,139,431,761,896,851,245,072,870,740,014,893,130,070,543,754,
456,792,424,904,753,041,051,272,543,450,641,349,500,337,440,582,418,636,465,
724,878,167,314,273,177,044,606,354,888,773,839,179,069,526,319,473,670,331,
812,382,905,943,912,176,922,937,124,726,106,584,147,140,824,128,808,188,361,
928,190,271,089,331,307,216,946,468,434,718,300,595,363,752,519,895,794,874,
861,005,562,465,927,007,679,740,514,372,376,032,907,623,516,057,695,913,533,
568,140,302,887,668,947,129,589,546,908,477,107,590,243,228,200,851,173,206,
771,677,576,993,541,265,893,918,601,518,868,003,940,123,855,668,403,213,081,
892,876,497,869,973,562,837,943,616,922,146,646,261,241,361,096,338,550,073,
260,624,488,675,636,853,674,121,107,123,195,653,388,690,830,363,574,133,871,
956,827,133,761,761,613,756,517,408,361,706,068,733,789,976,971,429,339,056,
869,268,289,086,217,953,434,781,712,010,384,642,295,139,879,418,990,913,267,
800,417,832,497,180,154,565,871,478,344,193,868,708,813,919,404,792,138,544,
138,792,005,008,306,528,748,565,486,042,057,471,215,077,390,668,342,333,448,
713,781,405,645,958,879,209,526,389,983,770,205,867,910,053,954,530,312,657,
185,852,806,892,994,617,282,482,926,168,355,447,434,308,775,294,447,154,389,
715,148,482,107,827,667,970,163,413,217,237,176,613,551,385,479,550,460,419,
623,064,331,836,765,396,546,772,518,785,806,089,692,970,795,490,069,144,892,
196,981,447,199,459,454,595,887,089,981,264,795,848,899,946,259,356,828,438,
260,503,925,537,993,955,439,040,082,021,012,694,913,335,500,326,173,725,089,
427,320,614,076,353,690,164,761,837,301,560,984,422,794,559,274,795,989,813,
831,304,953,871,091,121,921,682,405,839,304,133,804,165,771,983,615,792,570,
550,402,098,624,356,764,854,615,740,484,070,143,594,775,766,895,871,068,219,
688,939,963,352,329,372,653,257,788,882,451,779,817,334,486,130,679,902,203,
282,230,301,096,942,154,471,651,862,090,537,157,871,252,938,779,050,104,135,
044,953,340,688,638,506,416,551,338,906,759,651,270,164,723,590,674,373,848,
631,829,209,595,452,451,902,294,112,933,285,575,775,860,766,003,237,932,836,
094,163,759,006,992,495,646,670,409,676,435,557,341,117,924,958,099,962,256,
999,617,619,393,584,266,853,544,867,847,878,715,715,637,289,750,980,805,926,
473,748,868,366,257,721,093,219,524,531,074,786,379,602,219,415,763,255,014,
733,326,929,533,659,581,121,660,252,487,994,920,251,980,566,991,384,826,509,
780,931,199,882,820,112,782,072,619,303,682,549,136,814,860,873,653,057,932,
474,789,698,817,800,408,689,327,822,292,186,147,748,979,360,198,395,966,809,
062,380,710,844,749,184,950,082,865,013,463,746,784,579,334,145,475,561,514,
779,039,444,842,502,564,261,447,514,944,256,642,307,219,841,677,443,470,522,
178,206,618,195,841,155,184,109,691,352,554,722,877,455,995,328,420,577,789,
584,511,663,049,109,617,983,873,329,891,531,935,204,002,131,834,323,456,798,
839,168,323,279,761,873,258,327,195,514,036,947,187,384,930,453,257,668,233,
887,421,872,049,928,391,483,850,988,459,134,911,281,774,086,189,524,660,535,
696,199,401,217,684,570,845,956,276,772,913,481,029,143,594,540,073,322,215,
922,170,287,216,061,903,548,919,270,020,272,445,613,588,614,747,683,875,790,
342,698,960,480,913,648,503,316,069,088,598,620,043,532,459,886,705,039,493,
901,936,570,395,315,293,284,084,621,446,816,325,322,909,146,620,372,060,689,
097,233,144,085,924,270,020,080,110,312,041,489,782,758,124,737,852,889,197,
358,243,910,204,205,705,878,698,910,647,618,836,344,645,047,534,330,542,876,
344,521,470,909,277,955,927,614,113,455,727,992,818,643,449,728,616,880,903,
374,662,881,853,466,565,643,711,950,302,920,710,046,776,765,370,768,638,872,
483,010,994,625,598,190,319,941,889,995,226,803,740,051,471,516,261,275,724,
908,737,463,177,909,887,386,533,760,482,682,079,486,075,518,161,005,220,649,
427,710,741,051,868,054,978,306,944,886,790,456,406,323,035,133,459,608,580,
176,534,874,482,721,451,420,069,105,121,255,270,718,739,055,759,752,760,319,
049,662,430,081,585,141,175,275,926,446,088,190,615,962,377,684,319,509,067,
683,054,865,642,149,819,464,931,243,051,331,267,010,347,380,999,771,673,555,
920,960,390,270,194,338,034,460,186,034,698,970,386,680,608,594,120,557,961,
688,057,978,230,395,841,976,662,857,083,381,258,055,297,401,623,629,453,034,
688,823,742,366,386,132,025,047,010,147,015,659,666,849,807,992,039,274,088,
201,200,508,445,225,758,387,642,057,098,939,059,231,503,774,485,335,402,147,
212,081,507,970,011,278,599,247,096,149,316,285,625,244,573,329,269,515,300,
557,476,677,248,231,970,192,773,236,082,066,195,518,267,035,501,980,084,499,
231,122,355,446,552,463,042,385,097,997,494,390,401,611,553,369,125,430,913,
475,151,249,302,521,863,396,006,546,047,166,774,131,395,913,303,908,987,017,
170,607,728,522,420,341,308,698,946,761,707,104,789,571,108,776,066,957,310,
450,023,173,541,271,049,847,618,755,207,240,323,021,279,123,204,531,797,381,
826,862,067,769,080,167,442,810,324,706,060,358,473,753,996,903,141,325,789,
536,349,371,521,037,650,241,175,713,795,099,940,426,083,258,080,607,819,014,
754,550,850,363,868,723,252,153,202,104,608,835,130,709,480,798,501,753,085,
209,926,394,823,688,399,115,842,947,650,921,128,434,367,420,396,633,128,482,
240,280,045,717,257,482,148,219,069,854,049,167,789,742,735,226,913,588,719,
840,677,330,988,023,682,836,027,904,221,838,614,988,189,066,629,070,896,462,
798,086,728,887,502,552,471,657,765,898,880,565,408,614,346,874,632,467,950,
654,918,548,598,001,261,321,576,324,563,814,045,345,776,236,872,507,329,857,
991,853,858,336,548,340,685,669,193,986,104,420,239,336,892,455,053,482,679,
221,889,560,695,148,747,456,109,979,939,811,025,233,984,619,593,546,553,122,
914,438,463,083,324,298,220,235,029,064,434,572,361,340,504,698,162,500,821,
224,457,329,874,816,013,703,060,583,017,050,944,296,851,024,936,004,242,559,
612,629,625,680,569,370,579,900,524,509,887,374,324,519,617,974,730,860,613,
324,881,477,040,297,188,464,406,631,690,326,812,600,237,217,050,869,047,815,
577,366,654,089,308,491,153,743,327,163,301,797,956,411,073,942,886,922,436,
719,971,607,284,940,074,054,750,700,384,928,247,168,602,381,780,923,469,950,
650,126,550,357,834,763,342,244,199,537,442,932,635,189,842,141,249,945,980,
772,119,300,170,649,720,378,913,033,717,921,582,694,630,196,896,738,112,625,
613,810,056,601,530,210,246,028,959,853,202,384,322,561,379,346,895,906,081,
095,104,528,445,124,448,172,953,816,474,650,028,335,075,667,056,180,345,287,
799,889,177,857,044,028,217,697,753,595,415,926,989,758,875,085,830,217,857,
995,823,412,949,713,136,902,382,736,154,843,954,154,075,464,254,193,017,135,
070,685,342,211,733,496,797,377,255,118,809,149,699,366,230,263,308,760,862,
643,990,220,704,832,673,780,018,137,615,144,901,381,093,362,701,628,287,136,
213,455,315,141,543,325,362,505,040,017,663,257,335,395,331,079,958,240,241,
452,190,077,051,078,492,285,850,987,347,172,361,963,397,617,718,510,666,692,
148,053,914,912,150,101,407,326,886,284,158,438,506,104,600,731,680,521,509,
170,047,171,666,801,929,092,419,900,886,942,679,799,604,884,110,014,576,571,
380,333,889,450,515,500,414,536,670,646,147,718,492,243,939,642,914,910,613,
581,973,902,982,147,655,979,852,395,303,381,579,973,673,805,844,264,208,891,
487,274,222,432,021,027,971,465,547,085,148,668,132,312,954,972,908,239,499,
372,107,482,343,874,852,955,720,603,195,239,895,348,006,947,227,918,293,694,
206,543,242,120,835,902,595,808,226,798,704,145,000,169,200,203,710,000,913,
399,526,626,801,621,240,896,735,691,423,101,746,390,634,098,260,889,792,943,
595,315,526,600,641,038,397,042,129,378,884,913,305,580,177,258,488,685,081,
709,081,455,829,804,212,306,902,209,981,622,322,187,817,906,444,701,468,461,
899,350,351,792,578,376,715,963,021,945,014,610,034,033,122,757,521,860,296,
950,471,921,114,298,662,810,490,899,261,388,988,834,760,828,218,166,884,770,
830,362,012,919,836,527,899,112,214,278,049,340,286,900,959,138,179,222,679,
889,640,612,227,249,151,518,728,111,915,722,586,314,289,708,236,777,772,215,
931,849,713,231,386,099,627,758,540,540,890,241,639,470,031,687,698,161,430,
709,802,277,089,955,848,952,780,205,344,940,566,245,737,008,759,294,642,270,
525,796,087,284,070,780,727,418,847,765,372,466,480,334,169,353,614,245,705,
442,605,781,843,091,618,347,524,222,607,130,042,423,470,779,233,907,136,208,
899,940,471,821,977,172,718,932,628,401,190,853,053,571,492,223,932,063,227,
887,942,706,562,882,371,928,494,658,387,353,432,327,856,881,411,509,787,441,
773,694,025,411,591,734,061,766,367,127,018,424,160,304,661,813,606,692,677,
595,281,652,978,262,371,230,247,135,601,842,545,859,125,918,752,353,503,369,
482,989,374,169,760,817,232,270,263,221,958,927,219,858,828,557,014,986,240,
675,129,409,512,782,375,151,926,199,211,846,835,200,374,280,278,256,146,586,
166,732,436,815,588,378,891,442,545,204,085,994,629,741,959,912,537,393,833,
743,615,452,814,214,643,888,782,809,507,957,740,398,405,060,607,162,259,726,
933,270,492,615,392,889,193,083,690,537,494,934,864,313,710,507,494,915,042,
404,415,795,316,146,612,340,185,590,476,963,646,050,483,919,278,377,674,338,
440,385,253,446,319,501,391,919,952,199,258,828,887,103,539,203,074,606,887,
996,387,749,360,997,713,558,691,275,569,043,167,342,776,477,591,962,794,967,
992,147,264,143,800,779,950,595,900,774,729,820,574,688,633,675,124,155,036,
488,846,990,399,517,273,304,671,209,500,539,199,006,936,929,602,483,468,485,
369,252,368,595,216,099,988,024,516,951,772,232,126,106,848,173,381,782,283,
927,243,577,281,675,878,487,234,099,797,550,778,065,220,219,544,368,819,732,
602,744,734,064,278,609,290,140,954,187,624,921,114,517,596,434,054,763,680,
991,505,492,780,436,533,079,938,425,280,666,349,371,044,243,266,356,123,527,
905,338,498,845,249,237,050,686,922,345,225,834,470,689,520,614,825,919,699,
031,748,634,816,239,896,973,645,223,927,950,931,944,395,631,431,464,674,830,
021,325,925,848,144,704,773,824,602,238,962,471,149,024,316,305,550,890,899,
513,991,914,423,614,497,869,218,307,129,726,028,345,652,912,469,124,967,111,
656,811,583,016,271,388,478,518,247,598,539,545,535,475,662,384,235,937,312,
357,957,104,215,703,699,919,217,849,081,255,804,026,739,469,313,893,235,672,
032,187,551,640,876,156,737,206,751,814,421,691,221,631,652,395,291,884,074,
112,518,116,129,017,136,631,369,044,613,860,411,409,035,056,819,453,710,959,
181,224,705,681,400,888,216,178,353,942,363,394,894,895,078,109,556,035,955,
361,350,161,666,363,469,057,009,796,515,748,324,814,742,149,925,298,365,583,
040,124,694,189,232,280,076,037,847,619,029,573,263,780,858,076,295,814,790,
619,660,957,330,825,819,126,877,287,027,790,585,061,854,422,382,318,145,008,
404,348,759,302,182,148,582,011,863,152,992,213,642,005,006,305,736,883,096,
191,850,354,263,835,095,321,682,781,057,313,536,728,744,460,948,767,470,219,
333,842,786,055,378,677,301,537,998,461,852,882,745,280,064,746,885,346,826,
329,260,252,427,492,288,171,841,250,725,372,778,262,205,160,121,088,127,095,
612,700,311,663,908,374,924,392,346,208,398,324,539,118,935,087,464,991,669,
966,084,287,317,740,928,105,246,984,013,214,766,804,226,606,959,285,645,568,
794,905,234,732,906,047,693,137,396,364,643,057,091,966,294,123,428,238,125,
059,778,213,006,387,166,032,070,923,321,990,903,693,446,989,294,236,420,768,
452,407,374,974,119,391,740,250,306,786,637,899,344,675,965,338,216,227,148,
257,264,113,899,503,670,063,042,308,386,600,798,930,847,993,919,678,971,071,
219,833,304,775,842,905,684,755,106,248,946,240,767,640,143,335,405,867,716,
809,873,562,151,794,090,618,132,376,425,665,698,935,700,379,411,185,547,965,
393,339,026,165,259,509,357,443,430,235,906,219,257,460,046,449,167,771,274,
093,964,396,259,201,940,334,417,215,783,019,575,499,909,211,609,984,069,261,
211,944,864,078,872,380,264,242,684,854,122,229,007,832,276,273,193,010,307,
297,817,478,873,030,456,040,092,224,925,766,191,669,730,574,850,057,784,166,
431,979,713,959,866,681,312,232,106,606,725,629,470,767,354,347,660,661,651,
757,801,016,742,538,600,315,391,468,942,867,583,390,723,065,303,454,955,590,
846,778,178,542,788,698,444,524,939,846,107,445,132,336,495,011,899,528,289,
868,482,689,640,791,267,981,557,021,456,810,185,999,553,297,460,644,037,596,
357,496,762,284,459,326,822,368,723,695,263,300,950,198,815,320,897,894,787,
350,681,600,740,139,402,823,169,479,040,942,850,100,284,906,689,867,134,539,
574,250,652,002,360,037,373,184,914,036,374,993,053,208,044,953,039,329,388,
125,093,143,953,176,620,251,335,605,220,802,525,821,227,439,713,225,312,123,
600,687,195,686,297,823,676,995,453,619,575,606,384,556,948,873,392,567,048,
416,413,385,445,071,162,879,986,027,805,042,183,345,407,923,753,059,800,906,
447,370,388,476,412,805,547,789,747,838,113,694,712,803,375,551,785,498,141,
430,661,091,938,109,967,512,372,492,031,105,362,379,507,184,880,934,212,754,
209,725,810,224,770,613,023,079,069,942,595,995,403,112,721,209,920,479,117,
382,582,541,779,200,978,231,872,490,013,684,827,003,900,719,892,037,025,976,
449,406,914,592,803,994,568,977,510,568,704,541,806,445,940,472,895,703,300,
124,686,751,933,245,409,853,005,349,125,115,501,658,612,344,124,007,984,241,
555,072,193,345,912,786,501,076,227,860,338,529,834,253,057,192,705,886,463,
263,425,572,702,524,793,787,773,659,465,372,276,739,059,605,030,788,979,767,
320,715,801,361,859,656,194,648,024,002,576,652,832,373,136,856,389,595,573,
577,911,084,423,045,744,528,142,280,151,496,572,069,950,008,034,931,199,157,
448,166,778,397,040,844,472,905,190,884,786,253,620,711,015,439,252,192,952,
709,109,971,639,440,994,189,566,835,041,884,849,516,326,079,673,318,298,639,
416,702,935,730,130,806,772,863,141,449,645,789,292,373,066,721,523,942,187,
427,122,725,038,237,492,952,649,080,230,527,059,070,455,515,907,428,032,244,
600,172,897,604,887,893,507,635,982,763,753,226,748,182,925,145,634,551,399,
982,208,178,510,430,166,564,290,459,163,333,127,287,444,530,492,411,213,960,
943,300,171,980,309,886,326,212,046,306,148,964,267,148,591,943,433,080,839,
089,193,791,920,077,860,847,869,218,056,857,010,861,443,375,919,996,485,398,
021,230,165,416,846,209,852,400,504,079,026,125,070,068,244,280,044,487,942,
699,255,282,322,452,002,553,250,960,781,946,290,478,482,153,176,948,972,493,
852,568,412,259,672,310,490,027,284,036,874,260,096,853,912,430,848,263,920,
974,401,890,319,654,032,525,705,707,481,069,080,737,883,076,088,982,730,008,
142,582,548,670,648,347,580,022,119,707,722,685,186,595,008,104,771,851,338,
054,447,845,541,488,157,019,200,224,318,898,465,820,014,863,821,759,340,159,
115,782,031,124,248,812,482,920,646,217,204,552,152,660,298,198,952,259,419,
211,263,905,172,749,935,908,310,039,336,481,608,033,523,780,606,721,414,467,
602,332,738,002,654,507,040,287,046,744,626,730,503,757,762,702,194,093,373,
311,538,211,361,467,865,818,873,897,292,476,201,631,026,360,654,893,126,258,
094,712,411,072,237,441,320,030,024,819,539,716,830,936,518,037,720,880,384,
842,413,096,106,390,317,417,736,658,772,781,050,871,555,504,848,502,173,775,
568,433,096,799,725,145,980,728,995,689,962,551,247,851,016,652,348,721,118,
459,678,626,137,998,533,412,065,391,093,256,291,301,686,683,200,898,304,757,
335,999,529,952,906,283,335,430,684,589,484,459,173,049,098,889,577,880,828,
089,040,937,214,923,088,448,109,450,451,390,977,565,547,838,403,287,963,777,
681,269,686,455,858,310,288,470,945,565,995,528,961,584,382,512,773,738,381,
534,058,662,226,877,022,716,336,890,776,735,826,939,293,032,394,169,160,210,
125,158,758,281,296,184,558,743,767,012,924,229,353,810,362,063,698,413,706,
011,319,888,987,265,692,182,286,164,109,072,863,451,592,571,692,996,496,142,
563,066,517,175,165,887,938,432,404,790,750,418,143,179,393,069,397,529,908,
819,211,334,148,945,730,015,687,868,923,103,708,008,319,755,356,770,060,043,
276,513,398,225,953,527,816,236,446,439,721,959,644,163,848,304,327,234,441,
199,355,590,090,045,930,087,353,090,466,229,954,464,386,823,667,051,826,257,
199,314,617,611,404,744,685,125,281,908,808,113,422,096,499,675,761,095,894,
053,024,764,651,084,694,078,274,461,419,492,619,968,187,036,394,486,718,941,
368,256,913,602,643,256,210,443,591,963,497,089,133,750,583,496,028,869,552,
337,574,143,101,596,265,622,198,846,317,339,847,684,271,361,016,321,816,022,
925,133,337,772,451,071,971,228,255,421,261,076,650,100,203,520,238,750,630,
986,233,869,680,806,834,743,591,888,223,246,115,996,818,424,484,954,240,984,
965,138,820,164,167,571,158,956,552,094,446,605,722,930,930,796,705,065,840,
182,652,803,051,862,279,506,194,036,671,791,704,778,983,020,722,347,969,620,
804,214,784,380,528,087,184,734,506,541,520,248,008,747,739,023,022,647,362,
983,263,265,074,670,559,762,151,522,177,962,764,634,705,788,810,528,569,781,
569,489,980,115,146,131,228,684,722,752,794,105,598,848,907,926,006,411,409,
669,702,509,796,830,455,682,785,032,606,671,195,424,681,403,390,054,185,271,
561,952,307,657,813,480,797,575,752,292,831,680,526,407,651,179,214,116,114,
921,346,363,406,149,925,671,367,494,996,025,408,569,418,977,373,890,245,031,
580,000,751,418,240,497,339,297,057,006,217,458,561,368,060,120,072,322,599,
304,849,045,403,164,034,872,222,772,305,110,966,076,102,199,169,172,984,525,
005,217,679,037,159,903,177,299,118,565,151,845,095,610,383,195,639,216,548,
233,936,441,367,544,401,717,809,054,541,888,092,637,497,173,859,782,521,250,
098,516,470,766,244,237,049,459,984,188,059,866,683,093,072,881,324,851,499,
971,470,903,278,760,458,814,059,011,030,300,987,515,643,642,314,583,343,270,
429,316,694,662,177,996,979,916,569,418,341,266,346,061,185,675,980,460,725,
908,419,545,371,784,920,918,214,900,456,368,530,970,816,472,311,249,577,870,
937,676,643,808,335,530,348,847,432,996,332,823,879,914,035,786,824,206,417,
704,363,543,006,549,920,573,434,528,086,161,545,876,364,559,215,949,077,193,
690,448,926,458,640,010,825,716,439,111,952,493,607,568,296,133,303,601,187,
721,215,993,887,592,275,147,367,469,347,916,791,216,634,033,175,271,443,312,
367,657,553,897,288,363,173,221,357,293,948,315,707,938,701,700,749,933,848,
266,179,022,473,589,307,774,482,123,894,407,313,029,769,354,898,164,401,060,
030,541,191,841,480,924,356,245,290,670,106,379,146,855,443,923,554,871,402,
890,661,864,478,194,733,248,957,318,615,758,469,965,754,451,486,498,767,320,
515,011,780,496,531,960,196,480,880,003,453,123,979,004,345,018,490,700,495,
794,022,141,683,772,156,181,973,370,568,441,083,337,242,137,196,418,296,286,
253,032,004,795,746,271,735,678,602,174,567,176,590,766,558,867,818,262,738,
049,338,799,253,697,639,001,111,678,101,403,045,025,352,790,763,255,770,702,
228,167,325,414,403,888,590,132,667,851,034,856,582,549,960,297,560,274,180,
205,147,709,679,617,108,273,113,580,495,416,693,321,387,979,916,669,255,639,
442,253,016,001,209,290,591,733,466,921,578,473,227,368,757,552,014,902,813,
748,963,166,741,105,843,767,709,795,284,153,117,067,348,187,380,879,505,154,
747,971,817,103,089,125,636,298,748,184,971,415,976,614,251,275,888,643,352,
185,516,274,133,931,785,056,799,266,585,558,351,138,415,551,528,228,853,791,
247,415,508,021,963,657,762,379,489,128,243,148,149,161,222,551,871,404,760,
813,888,251,993,081,818,708,793,945,063,126,583,345,978,102,626,379,841,544,
549,796,155,839,919,372,893,456,986,484,204,902,835,397,063,341,277,947,276,
045,549,734,807,322,790,648,374,389,887,477,817,509,676,585,782,308,308,193,
276,378,131,479,685,512,452,522,576,891,272,948,630,810,399,032,632,043,674,
001,949,181,085,919,156,551,083,487,444,148,087,100,516,711,174,611,412,170,
911,184,026,261,245,547,688,598,499,239,370,354,347,521,471,629,780,078,634,
496,782,306,069,934,156,772,170,425,117,722,555,482,598,087,099,193,738,080,
200,118,741,523,189,352,651,514,591,521,733,175,002,382,780,711,793,508,256,
946,512,228,234,777,964,621,651,082,952,229,329,974,301,163,904,380,837,080,
437,676,634,871,105,864,359,852,441,274,619,064,426,552,118,221,508,246,839,
304,025,675,048,591,934,725,452,071,576,998,209,819,614,673,922,550,488,229,
830,648,569,539,560,333,522,623,844,341,521,567,067,312,916,306,257,457,223,
408,249,190,581,905,113,518,514,085,528,952,569,107,731,082,919,403,792,817,
091,617,288,895,077,252,715,598,504,055,559,464,234,029,911,136,174,336,897,
576,935,900,791,329,889,562,965,753,083,290,468,773,931,016,200,608,790,990,
593,795,812,925,478,851,939,931,915,309,362,666,521,211,618,379,155,384,409,
265,080,326,908,385,278,810,613,764,466,075,875,012,138,933,418,644,915,629,
459,954,458,381,929,175,918,958,198,557,632,218,072,692,653,101,489,483,771,
316,388,460,492,511,877,398,720,275,456,377,678,194,727,667,331,274,823,550,
319,622,943,117,797,560,381,466,855,817,563,776,113,827,980,697,682,141,020,
764,795,520,629,069,677,520,576,157,595,303,338,378,587,516,266,484,098,556,
076,275,697,436,451,805,949,760,643,430,354,354,572,303,755,140,269,164,305,
406,896,246,292,712,849,668,211,905,778,546,929,212,529,708,818,241,831,520,
003,595,219,115,659,335,534,614,756,113,605,935,733,892,537,141,912,402,083,
777,473,369,901,200,803,022,032,040,929,536,318,927,756,579,673,920,787,414,
884,434,348,221,613,513,328,100,633,645,063,824,856,557,626,453,224,120,856,
611,300,794,628,159,295,074,761,494,612,004,313,268,587,946,069,564,212,818,
397,525,618,714,392,813,645,727,199,011,854,660,029,838,057,767,861,431,116,
950,029,671,522,500,922,378,885,262,785,100,609,508,438,843,649,934,952,300,
881,338,734,462,055,854,481,130,587,362,390,275,877,475,442,674,221,960,735,
906,592,912,868,863,296,676,999,923,705,228,846,224,821,017,011,179,515,454,
438,159,403,144,697,262,796,422,098,929,171,597,973,600,265,298,810,740,783,
301,103,112,673,767,193,652,548,836,415,315,947,385,129,840,677,586,260,556,
019,351,786,399,712,062,171,873,921,935,783,568,337,093,656,255,595,404,256,
296,110,344,588,696,917,334,132,742,728,591,971,202,189,021,485,746,765,488,
674,188,359,103,801,021,281,700,388,765,374,749,716,148,579,637,490,033,021,
311,598,500,534,428,087,153,639,181,760,964,094,294,698,147,073,181,297,657,
592,664,016,603,623,443,154,647,517,538,170,306,790,747,285,201,274,273,814,
783,331,995,671,486,854,575,674,912,831,530,029,359,616,719,055,128,406,813,
638,714,942,151,539,137,034,572,098,025,183,571,119,846,048,224,132,151,849,
729,374,693,040,473,225,891,006,951,057,426,132,917,146,736,293,397,754,215,
769,270,395,920,509,122,467,160,837,261,963,762,797,585,043,891,367,948,920,
787,112,129,610,680,987,389,095,572,472,285,556,122,668,968,934,650,575,978,
090,771,280,473,764,546,357,233,667,381,719,137,147,975,695,451,696,856,661,
273,282,349,323,073,053,627,562,838,161,786,010,354,287,609,293,327,689,884,
992,887,721,418,125,194,253,970,406,626,019,359,095,693,127,699,053,380,290,
396,221,750,716,841,723,573,663,320,120,830,764,946,056,061,337,446,929,287,
862,549,163,067,800,760,540,934,224,775,718,207,628,922,344,957,972,348,641,
783,264,478,664,412,091,818,806,491,801,479,707,903,895,044,211,497,867,309,
412,012,070,606,474,935,151,908,509,411,880,283,267,371,889,934,164,217,831,
581,844,833,735,170,188,069,852,472,079,914,289,054,536,197,331,336,913,850,
573,321,791,766,394,480,605,597,815,233,203,810,001,265,778,661,292,452,774,
803,959,923,877,981,047,324,494,022,510,694,209,167,732,571,220,406,105,325,
949,093,202,824,856,463,616,041,654,518,898,168,281,862,272,314,533,928,821,
562,609,811,202,141,344,764,598,218,593,708,909,128,972,505,587,775,138,153,
082,557,552,081,903,798,308,153,428,680,998,229,527,803,652,823,239,236,398,
925,551,173,197,951,339,464,592,995,533,726,998,996,357,778,683,410,406,637,
999,665,380,024,084,890,008,388,583,572,479,868,757,896,823,014,549,007,074,
720,896,907,429,619,065,973,921,922,890,791,401,628,742,076,482,717,489,826,
479,140,579,668,472,312,105,460,746,413,366,161,463,916,032,136,420,737,533,
874,861,982,735,909,577,000,145,269,662,406,309,090,488,208,887,519,950,503,
684,498,368,965,527,181,938,775,235,924,927,688,681,858,601,886,222,256,817,
754,164,760,281,768,588,627,388,554,270,261,049,329,906,716,079,020,555,521,
620,759,069,782,975,523,905,297,354,859,457,784,708,335,824,830,857,495,167,
435,465,674,524,455,295,170,775,396,262,288,132,179,301,245,278,933,451,832,
873,505,158,902,630,985,539,170,126,701,827,885,560,256,549,095,312,291,468,
976,369,701,778,948,856,243,567,051,280,637,008,618,452,659,243,973,273,529,
553,014,360,946,447,727,586,631,122,560,160,010,583,487,330,777,808,592,451,
101,209,195,675,487,506,382,943,126,448,418,244,080,615,659,132,386,681,799,
527,879,989,670,741,701,743,815,153,482,044,072,309,175,711,628,747,080,559,
673,359,388,745,356,599,523,587,133,945,297,070,018,805,002,746,384,018,285,
946,941,665,274,461,278,859,277,263,585,174,708,684,146,519,979,056,345,567,
958,399,191,438,212,850,999,672,271,113,540,676,220,558,627,902,191,987,765,
903,932,847,408,673,073,281,327,262,648,753,340,632,069,567,757,392,129,968,
540,274,000,991,409,428,387,906,625,397,446,266,801,017,425,480,515,893,717,
243,353,687,030,268,539,916,118,299,828,909,869,664,103,660,032,770,649,597,
704,272,611,404,323,997,732,686,620,171,793,295,425,171,700,484,595,069,692,
544,106,731,665,433,654,517,900,091,335,176,923,615,058,225,184,703,641,043,
714,120,166,413,881,443,594,538,969,476,230,933,093,768,056,913,329,745,073,
807,044,126,039,647,975,271,348,953,428,657,679,803,489,562,648,775,239,326,
827,150,999,047,644,494,669,203,945,944,731,235,531,279,735,990,485,016,866,
050,479,296,130,776,413,310,829,112,078,188,706,442,364,288,759,695,109,573,
392,299,725,872,939,531,644,074,329,420,922,024,902,253,756,898,856,111,227,
804,204,028,167,029,092,694,471,192,650,763,438,399,563,081,498,467,272,878,
288,430,100,913,650,265,839,890,960,324,686,147,385,556,301,387,188,006,020,
407,705,950,668,623,277,798,383,055,724,643,081,940,808,092,871,777,468,066,
907,834,214,554,245,388,702,924,008,444,193,658,998,127,050,457,408,708,851,
944,068,995,664,858,353,835,465,524,615,660,660,901,466,323,501,705,372,136,
844,684,759,103,430,091,489,855,181,303,214,998,102,111,624,889,775,073,331,
621,183,150,205,293,088,227,826,184,035,600,747,483,810,660,805,926,210,474,
605,752,132,732,905,477,433,245,121,228,617,220,945,989,688,641,780,189,073,
483,166,843,128,234,728,953,714,416,633,812,343,320,523,333,918,437,718,937,
367,653,596,225,720,902,397,927,669,414,699,136,858,125,320,218,922,765,373,
009,287,739,440,094,400,505,289,536,806,450,221,933,288,035,846,219,600,790,
737,857,132,058,224,412,336,535,827,111,930,274,143,966,495,268,153,620,729,
352,927,471,759,692,261,764,863,343,716,893,080,364,197,929,913,234,285,347,
192,485,224,640,600,385,585,103,358,631,219,131,372,911,222,729,342,052,517,
476,475,428,557,385,911,751,929,777,824,862,676,856,486,226,370,387,020,177,
527,832,476,278,500,315,709,607,139,131,084,025,751,175,178,808,908,486,248,
201,986,883,131,868,015,797,437,534,371,820,584,403,803,285,513,006,471,947,
298,372,621,439,678,523,521,504,412,744,404,309,094,540,463,614,221,250,960,
347,321,222,565,992,287,008,552,359,418,106,041,676,498,346,867,327,747,590,
272,439,484,920,216,026,454,658,120,564,498,391,023,471,327,541,973,874,997,
489,286,600,685,912,869,570,729,903,162,373,643,776,685,854,097,388,207,282,
224,017,910,673,249,632,221,623,785,475,921,486,000,848,206,318,207,912,009,
893,402,192,038,038,707,891,579,950,799,095,119,186,842,701,902,403,686,752,
933,875,611,620,869,830,785,182,129,240,109,153,172,510,167,268,779,625,317,
699,220,696,471,462,680,160,747,380,849,559,207,870,909,781,060,841,197,932,
332,371,004,188,211,584,718,487,877,467,007,430,981,513,440,961,981,074,292,
991,572,814,607,631,927,208,986,046,273,599,674,648,411,638,718,349,051,120,
163,534,379,657,725,721,049,818,091,343,831,523,984,536,003,845,560,395,266,
136,101,214,540,113,322,109,199,315,055,515,917,131,304,162,114,707,749,974,
166,521,696,109,236,015,837,063,749,364,676,050,170,408,102,881,785,991,074,
274,666,063,905,635,319,829,613,382,258,550,828,371,671,788,373,416,579,011,
637,523,059,934,926,276,399,757,832,476,839,005,820,125,771,706,566,333,840,
785,292,158,169,429,572,959,464,486,100,252,224,468,537,653,799,015,151,439,
765,764,740,696,156,502,606,944,760,477,756,507,850,024,655,682,469,542,403,
795,604,056,941,512,114,115,091,079,447,784,171,087,536,096,867,976,188,362,
324,606,223,138,869,834,225,528,587,560,460,971,410,285,782,856,774,222,323,
624,430,456,008,544,501,874,268,436,156,970,714,074,279,024,442,867,702,208,
820,758,283,422,410,298,847,243,391,267,920,916,093,241,216,735,451,036,631,
178,574,310,647,800,033,157,067,282,142,946,653,597,731,299,058,201,968,787,
125,957,024,203,870,321,370,026,851,259,436,412,969,222,303,811,099,041,919,
380,691,130,140,046,575,868,592,673,872,469,151,661,012,904,878,044,945,248,
199,735,876,390,380,159,748,582,477,709,961,988,273,602,040,895,046,585,764,
999,475,841,508,388,842,660,346,674,547,543,379,355,536,991,775,434,043,275,
369,702,339,701,188,827,559,219,949,155,187,756,421,025,629,526,312,007,540,
772,441,204,183,897,023,671,308,436,268,350,469,535,816,731,987,874,346,691,
227,244,654,377,149,251,848,291,593,126,546,492,370,479,071,678,803,994,235,
994,390,663,314,246,277,168,230,492,884,400,034,213,189,168,429,606,255,087,
628,424,856,523,370,330,319,124,488,595,363,576,546,557,103,934,092,381,923,
415,162,278,844,734,308,172,020,664,637,329,333,029,609,339,967,563,919,370,
927,875,166,544,996,739,627,976,377,297,984,801,193,877,230,597,988,558,865,
904,031,328,129,564,066,642,290,260,169,481,104,987,398,352,822,888,313,708,
131,182,742,758,468,870,788,520,460,604,475,527,506,054,493,974,320,780,138,
280,692,399,723,675,050,317,200,761,670,201,137,573,382,750,667,954,400,877,
302,813,382,233,853,222,658,067,007,242,281,475,216,550,854,390,940,903,700,
731,878,287,119,498,571,656,891,132,243,402,878,425,351,428,112,606,932,665,
518,004,002,535,300,153,468,975,540,974,237,474,694,323,478,728,115,188,865,
689,775,657,159,131,811,154,901,371,230,150,666,642,492,807,035,274,506,501,
622,290,891,467,612,638,990,888,630,605,670,932,899,898,668,675,203,577,726,
292,437,236,184,064,196,871,684,127,745,876,614,833,892,995,896,589,828,455,
795,198,431,763,462,834,033,204,975,769,434,343,853,962,817,221,645,347,586,
356,252,683,137,166,239,784,666,940,151,235,387,958,811,193,229,584,244,311,
964,439,369,186,403,518,697,641,295,746,698,836,516,478,472,738,677,822,132,
649,965,000,014,044,377,790,136,648,068,717,560,083,663,403,534,988,067,091,
130,761,190,859,381,649,866,217,353,878,115,133,758,187,885,103,576,152,520,
200,220,789,457,545,090,879,137,664,596,902,840,435,413,288,781,045,600,399,
704,182,678,162,518,027,311,676,789,341,062,390,838,125,652,710,725,021,666,
566,954,749,380,106,899,474,709,743,698,463,826,521,943,629,154,700,010,099,
877,239,721,788,371,187,522,014,127,380,437,476,773,585,349,171,692,259,219,
853,141,579,464,451,497,736,679,910,140,003,327,176,816,429,506,414,190,710,
237,623,175,938,840,097,957,469,109,389,131,891,428,555,778,635,654,577,502,
869,232,628,390,201,179,958,779,775,320,070,475,612,485,868,924,051,621,341,
945,228,239,697,256,426,590,545,016,266,674,440,404,873,292,567,420,488,650,
983,395,104,667,029,620,458,340,064,836,791,143,591,492,118,467,344,057,749,
461,748,579,586,810,438,865,461,366,313,147,661,820,544,692,244,387,400,720,
188,653,131,848,637,104,527,406,580,149,139,542,103,366,745,017,798,640,550,
897,507,016,752,277,811,459,954,451,486,495,353,061,811,090,296,836,224,406,
265,827,825,685,379,647,807,432,388,353,359,593,104,418,375,149,703,560,809,
690,451,211,662,175,709,988,078,743,556,983,449,292,028,784,884,874,418,335,
198,989,722,320,190,045,698,513,620,630,074,547,847,429,483,621,684,603,261,
887,952,258,726,507,056,361,481,106,997,013,311,960,842,730,043,312,741,668,
107,953,890,669,399,710,495,949,138,455,940,889,108,864,581,770,032,429,902,
004,110,278,095,355,238,600,782,067,793,513,370,624,026,764,917,010,295,303,
388,638,917,300,175,495,165,507,813,307,619,336,849,344,853,436,612,253,761,
130,139,781,848,597,171,282,585,763,915,781,789,168,871,203,410,626,777,427,
300,203,625,853,516,298,901,534,659,176,600,863,825,454,737,162,148,416,223,
375,625,344,608,061,163,114,452,159,207,579,774,950,106,217,278,219,611,546,
396,301,091,204,823,876,094,164,186,697,487,395,820,547,518,011,415,896,296,
239,119,486,759,201,744,327,481,133,483,525,582,310,441,437,729,812,343,929,
917,354,926,622,027,170,958,825,608,903,233,661,305,383,766,663,039,552,554,
554,888,245,435,946,903,910,541,691,352,412,543,908,937,444,270,764,324,424,
926,921,506,918,297,693,152,245,007,580,506,803,455,055,527,672,753,902,322,
148,637,242,783,208,556,479,447,271,592,583,152,661,968,003,599,748,477,938,
304,827,045,031,662,890,942,121,363,737,650,988,880,436,491,982,900,257,317,
556,927,577,439,236,721,256,357,841,962,150,665,025,043,929,071,473,317,524,
293,074,780,352,021,700,115,488,530,600,467,362,098,858,550,487,416,020,554,
191,420,386,739,017,623,042,072,048,045,917,617,088,370,550,538,316,210,879,
677,281,324,862,877,033,492,815,402,652,539,814,729,938,818,055,350,316,402,
898,912,209,395,042,070,621,034,193,146,975,687,480,502,218,723,827,526,413,
052,129,297,199,683,133,168,813,169,230,861,646,346,483,155,974,891,441,039,
393,507,595,069,419,373,987,847,093,181,425,131,997,399,105,055,403,249,666,
099,962,246,556,067,105,813,626,364,651,171,017,035,325,120,876,224,664,977,
725,971,650,575,714,008,902,212,784,526,624,090,992,109,979,669,302,282,589,
049,599,049,733,108,322,727,700,004,690,507,740,600,014,598,890,630,152,321,
280,734,897,057,624,093,241,961,804,356,387,471,913,549,508,016,242,337,913,
461,708,204,409,458,203,103,951,182,429,042,189,476,957,199,578,649,325,669,
901,178,098,271,358,392,434,208,943,964,115,918,567,644,543,787,307,886,762,
899,317,817,473,019,865,746,838,325,872,244,477,885,258,912,540,301,940,181,
032,741,963,869,609,509,668,520,293,022,725,330,606,907,537,812,735,279,411,
138,025,575,042,963,762,776,166,666,882,105,841,141,637,403,184,506,129,584,
084,563,724,123,134,067,413,087,565,880,175,612,428,166,234,891,258,060,644,
842,488,577,610,742,648,408,029,642,654,302,900,746,454,981,074,327,272,395,
133,918,487,085,486,505,855,409,153,733,345,831,274,312,482,435,363,106,210,
585,203,170,168,527,649,968,203,114,332,268,530,364,749,307,381,826,034,794,
307,459,684,110,432,655,272,807,386,861,482,336,790,530,210,437,738,555,555,
297,330,006,843,674,604,791,911,407,630,838,457,930,344,166,934,628,933,325,
210,692,088,060,916,353,565,355,997,843,258,532,010,604,095,875,252,141,620,
451,264,700,575,885,398,244,515,303,152,992,464,839,386,540,140,631,318,004,
936,160,060,401,999,128,514,928,884,357,478,189,734,661,996,375,976,974,802,
465,668,798,062,155,373,834,970,017,297,444,401,320,855,868,117,260,749,655,
009,574,418,256,630,591,594,694,557,546,426,002,465,868,639,426,102,813,684,
933,437,327,252,686,559,839,963,623,166,216,239,062,010,805,140,259,271,725,
871,947,900,954,121,229,856,629,980,733,499,283,391,409,296,374,333,487,202,
847,328,153,447,870,673,483,233,442,488,292,836,506,519,218,215,868,524,979,
675,567,393,040,008,783,936,883,512,499,151,499,108,539,614,392,099,782,475,
609,684,192,548,932,259,226,519,315,719,264,684,670,362,860,152,737,507,286,
443,268,090,232,412,650,672,359,319,855,343,369,808,727,176,099,827,528,720,
409,127,041,250,627,886,540,088,743,492,379,483,572,904,396,464,320,099,897,
873,874,731,405,444,383,305,352,965,929,720,968,306,956,130,646,304,623,506,
480,522,462,909,194,009,993,542,913,476,054,392,089,679,964,800,709,134,593,
486,213,911,747,263,050,726,557,525,317,725,610,691,870,417,480,252,142,573,
285,101,094,164,631,548,608,333,908,109,658,422,367,941,254,612,746,382,729,
217,745,232,197,563,076,984,665,508,750,190,666,216,916,608,453,198,807,190,
739,219,323,855,043,141,151,695,089,875,787,279,700,081,450,634,961,265,245,
312,704,445,128,297,356,940,743,450,178,594,463,890,340,366,924,549,599,548,
188,412,145,171,795,604,222,689,560,254,896,857,412,840,728,137,793,171,398,
392,598,739,496,976,294,266,404,587,530,971,477,664,339,172,812,648,697,774,
327,223,045,188,542,422,432,043,243,798,438,192,813,231,983,474,607,880,065,
908,952,282,217,443,203,672,817,321,426,558,882,550,744,950,924,947,000,035,
114,967,018,316,874,825,037,080,950,047,448,350,506,847,929,996,666,681,914,
279,111,473,592,842,324,009,255,426,082,906,343,055,904,048,559,345,684,005,
181,941,465,132,250,541,889,211,353,630,662,555,986,136,934,543,477,826,618,
281,493,859,230,242,351,564,924,486,794,169,951,938,011,097,192,221,119,643,
406,999,971,301,994,314,615,100,952,855,809,830,487,549,819,004,694,376,756,
188,613,451,359,189,169,437,548,716,053,840,801,766,471,248,324,717,852,887,
912,568,606,861,898,854,908,455,606,127,711,753,127,178,286,084,287,306,298,
917,979,981,820,534,922,575,579,054,318,098,134,471,109,699,915,725,736,422,
385,320,799,114,491,074,086,555,248,425,471,987,844,960,016,137,039,133,989,
877,448,933,840,295,869,895,822,560,237,158,103,029,395,423,374,744,497,999,
530,390,957,946,703,487,655,691,500,131,099,137,524,980,479,744,822,767,568,
568,288,736,296,949,186,438,987,599,325,320,674,205,221,595,355,470,432,950,
242,996,194,129,210,720,317,313,442,562,998,059,411,336,390,891,608,207,872,
302,014,994,493,398,700,911,509,234,844,903,792,338,241,708,677,615,444,329,
327,035,804,513,686,512,534,730,284,466,614,847,323,367,968,510,698,026,638,
257,851,593,789,580,836,600,908,408,624,443,431,417,034,425,050,058,422,682,
227,599,366,523,473,780,888,135,626,116,894,511,442,113,289,143,417,943,143,
602,827,550,615,438,179,914,118,444,071,367,080,608,395,561,540,696,772,872,
256,363,021,515,158,319,484,740,044,594,672,271,509,799,860,536,309,594,780,
035,727,518,397,986,331,267,530,235,722,421,311,780,295,845,054,386,800,565,
631,968,855,993,394,071,004,472,653,657,050,676,993,330,102,739,488,036,092,
332,049,152,466,750,817,404,596,423,263,423,523,770,185,484,174,831,433,612,
894,787,530,137,251,037,530,997,446,872,479,186,918,872,134,304,098,893,444,
119,525,412,079,982,078,757,565,094,390,767,583,420,747,991,536,693,026,831,
049,252,313,911,424,748,678,167,802,620,976,153,037,878,391,049,339,057,663,
445,814,815,735,668,554,377,177,292,456,642,261,389,190,538,578,493,110,593,
164,378,579,403,084,521,258,394,604,900,843,519,724,359,527,950,954,679,984,
885,548,026,101,500,694,479,118,579,940,685,053,114,093,761,452,947,305,409,
073,448,383,315,126,232,957,813,213,893,182,986,562,420,840,134,147,709,003,
611,187,624,007,359,541,474,090,803,370,646,677,877,651,901,835,486,140,122,
056,515,139,327,292,197,569,938,005,176,958,096,341,268,157,900,258,792,408,
436,664,236,574,019,916,310,336,504,360,576,497,440,577,313,428,674,533,054,
892,164,468,226,547,899,391,869,530,507,873,849,925,826,978,020,128,282,516,
218,688,988,278,404,920,047,955,236,549,778,434,192,216,970,712,505,935,646,
271,402,324,319,807,827,516,750,156,704,675,354,816,136,353,546,347,474,522,
525,024,595,789,411,445,368,761,876,791,157,518,149,209,500,628,186,811,296,
523,013,796,715,078,746,754,164,889,518,184,964,116,222,809,083,955,177,435,
638,090,458,414,914,469,247,817,002,899,936,949,295,891,648,921,397,266,712,
598,917,457,414,175,225,897,243,720,527,439,175,220,021,505,118,373,545,664,
250,576,231,653,463,201,467,779,818,665,085,273,127,633,396,667,951,611,147,
668,971,040,536,132,463,021,406,047,602,542,017,676,311,576,085,857,518,427,
186,689,391,760,512,630,733,670,422,514,029,866,379,198,025,416,018,802,004,
113,895,048,347,238,539,571,764,444,795,666,715,155,931,889,261,690,125,731,
917,364,752,576,105,933,159,721,822,051,304,584,572,974,876,960,442,145,328,
584,716,857,877,014,317,516,033,937,820,857,121,589,609,973,310,929,057,272,
809,727,684,717,752,948,003,741,257,586,546,536,987,907,557,776,050,130,993,
606,410,574,028,159,394,996,392,158,271,720,503,070,702,924,100,242,907,014,
945,977,511,049,674,440,709,384,899,281,745,485,359,901,475,335,653,965,099,
279,224,250,524,889,251,122,680,870,860,246,246,399,263,476,796,230,822,195,
657,618,455,433,392,347,468,429,254,862,003,392,831,400,591,185,582,144,186,
373,118,933,145,987,788,591,263,530,051,125,734,906,732,935,733,218,152,853,
157,018,837,697,650,680,468,082,849,615,719,195,287,719,429,199,281,556,254,
773,731,201,656,788,234,778,061,928,937,315,766,472,139,418,795,050,964,968,
579,288,968,447,604,187,688,230,433,597,059,081,517,870,694,353,842,498,623,
979,916,128,291,747,040,449,632,428,952,655,764,953,873,722,435,247,112,234,
882,197,504,126,169,376,297,606,887,642,321,510,906,716,688,942,694,277,329,
590,055,079,038,554,646,294,270,767,162,156,852,504,061,681,722,559,314,831,
175,774,627,224,318,841,526,691,658,929,647,244,620,674,776,237,953,435,435,
279,986,755,002,983,073,733,297,988,519,242,278,025,327,725,376,782,447,743,
548,276,489,230,673,085,001,065,347,385,951,018,408,879,194,160,346,999,315,
661,855,891,667,310,248,348,538,177,732,181,247,157,603,856,741,344,075,083,
231,466,568,688,330,131,595,509,425,910,005,294,291,730,366,793,055,892,366,
901,873,539,453,478,422,916,858,717,508,715,269,367,599,445,201,082,362,891,
900,145,619,372,889,685,059,021,784,356,477,546,581,313,102,675,797,348,199,
374,019,064,573,297,752,444,298,612,991,642,345,400,630,036,902,315,601,694,
145,123,518,461,422,838,407,082,856,019,353,260,625,954,048,519,959,933,869,
906,536,293,131,373,639,048,065,701,996,248,710,788,631,872,154,512,216,933,
174,030,536,207,759,772,170,290,026,924,843,706,810,213,531,894,378,437,098,
101,114,690,869,829,474,596,517,865,817,277,399,487,863,684,798,540,316,060,
702,805,088,098,211,267,437,274,031,902,087,817,916,523,591,223,464,495,183,
002,327,674,197,120,217,866,876,834,069,349,390,695,075,046,550,913,710,328,
613,931,029,901,487,990,734,301,810,015,223,365,358,633,036,670,664,051,936,
527,571,840,706,609,646,610,164,301,786,091,687,338,557,666,721,181,186,717,
507,731,383,786,006,605,981,816,144,349,856,041,828,644,873,355,933,513,888,
748,919,510,595,951,510,633,223,101,160,821,791,256,561,572,699,878,293,442,
821,045,618,455,759,273,924,081,713,387,604,853,253,714,038,839,612,391,102,
628,965,047,728,112,485,227,384,272,395,384,532,070,667,021,948,492,408,152,
014,714,637,109,175,170,276,277,178,487,482,873,531,758,396,467,759,214,848,
083,954,825,554,469,156,593,271,114,612,981,589,450,047,892,300,131,427,211,
047,150,434,330,845,952,575,419,737,515,930,072,607,317,161,200,393,991,392,
139,898,782,796,053,309,967,650,409,925,746,711,241,055,281,582,862,540,868,
484,871,729,329,796,386,992,021,898,328,895,686,185,881,531,917,810,931,826,
899,309,588,269,036,386,227,265,392,153,620,241,010,506,782,791,520,578,555,
774,325,517,450,009,064,253,750,381,091,485,230,138,495,492,142,903,457,749,
902,157,149,387,848,115,296,239,286,480,225,163,584,611,228,633,250,282,686,
408,224,955,254,096,121,979,316,990,714,245,147,930,908,665,061,480,992,675,
869,072,022,823,495,058,301,152,954,875,863,623,059,145,579,524,853,403,178,
879,184,884,271,989,611,256,594,763,815,329,580,143,953,469,367,345,186,663,
644,547,681,103,874,112,012,676,889,358,993,810,313,742,214,055,321,601,149,
568,809,820,364,414,003,641,049,065,971,151,413,192,248,555,678,528,701,939,
193,086,261,726,296,933,103,565,624,095,438,362,717,067,132,732,153,714,825,
723,380,424,269,189,528,891,597,215,408,205,392,371,030,302,368,129,634,561,
619,614,126,489,675,958,934,462,275,364,125,670,613,238,248,878,327,646,369,
660,541,694,617,878,444,947,254,309,465,294,557,865,313,111,189,925,612,419,
867,026,196,402,877,491,663,094,889,995,832,726,642,344,314,588,291,901,384,
405,006,633,755,133,749,366,057,702,477,771,174,265,974,876,741,034,592,061,
118,652,654,148,479,474,030,009,934,765,642,645,482,761,863,974,469,762,251,
591,463,548,942,026,191,822,012,570,761,216,870,618,331,833,094,888,955,163,
093,238,316,547,874,508,226,729,690,045,222,965,938,930,800,785,505,381,859,
535,220,265,755,612,803,556,920,355,045,595,367,332,788,482,123,523,404,103,
947,609,716,105,059,417,881,529,521,765,703,249,089,009,773,423,718,836,447,
389,537,440,784,466,625,964,040,471,079,108,315,228,219,101,223,349,276,934,
754,280,868,033,666,026,070,494,347,530,302,438,613,227,848,434,984,357,571,
266,052,023,840,491,780,729,691,877,929,433,108,809,639,057,988,208,324,395,
411,698,625,831,401,482,229,208,206,528,729,327,723,350,686,488,020,078,440,
798,375,545,363,640,045,569,244,167,660,872,354,362,919,845,166,982,349,321,
750,752,921,486,867,004,026,610,777,197,180,508,522,966,648,300,026,079,181,
853,333,344,869,483,947,928,318,570,799,577,871,110,535,548,210,568,481,724,
625,617,776,964,434,246,447,103,859,656,713,676,053,494,343,820,957,616,885,
620,429,515,709,739,849,754,556,673,906,912,808,838,400,382,473,398,989,217,
876,515,348,808,068,184,819,794,982,206,984,982,112,190,937,750,186,989,522,
732,545,482,358,670,551,458,811,851,293,562,281,285,872,103,175,115,973,086,
674,156,844,974,260,166,585,072,748,015,251,153,819,209,520,018,182,430,384,
973,977,370,932,587,600,756,014,184,074,863,760,156,260,430,732,701,206,679,
262,826,234,611,985,636,524,857,695,309,473,621,065,253,290,977,965,050,254,
749,805,193,858,710,405,507,604,803,340,436,984,015,873,092,100,587,637,841,
937,244,711,379,422,561,826,912,470,308,705,492,182,754,191,033,945,329,190,
422,690,992,296,852,852,105,307,596,080,638,835,183,338,730,356,682,688,091,
712,116,495,640,849,154,687,215,388,828,976,262,259,614,041,649,436,127,939,
994,878,523,417,233,764,418,297,587,204,597,999,219,463,961,280,456,143,785,
700,776,553,946,484,675,658,847,342,926,815,253,622,053,006,759,971,100,234,
817,201,869,236,884,532,649,069,575,286,096,589,012,302,678,756,697,809,733,
067,975,617,327,099,388,690,081,274,431,739,241,236,549,194,398,406,587,376,
203,414,349,605,332,752,067,884,405,364,549,669,236,787,833,881,011,073,387,
560,197,243,357,658,381,155,137,429,406,086,351,538,895,190,377,719,848,474,
245,692,467,964,138,266,717,090,681,047,101,282,635,633,755,966,277,214,521,
752,390,243,184,692,948,305,729,470,835,884,833,045,520,562,880,198,851,925,
588,391,055,246,220,881,778,767,787,987,199,999,958,312,024,985,819,294,586,
914,331,834,142,362,075,444,169,499,801,130,378,881,500,458,481,612,465,704,
920,043,521,038,080,028,081,232,707,829,357,246,738,987,299,403,086,854,134,
762,933,735,818,113,911,100,912,728,971,925,939,262,417,239,024,969,120,023,
631,521,683,437,292,476,380,621,894,240,541,765,947,043,499,993,790,909,736,
377,964,505,319,771,919,404,632,302,414,573,818,846,601,649,423,724,335,907,
472,567,643,650,897,929,049,042,768,613,484,768,102,271,160,640,827,784,207,
552,862,922,735,264,219,900,076,459,623,569,974,203,779,456,080,219,987,026,
096,934,000,992,494,844,296,739,434,736,908,227,278,581,152,835,534,122,542,
155,843,120,686,179,119,752,435,849,271,928,334,343,331,998,919,180,186,976,
069,860,684,127,907,080,318,352,738,493,162,849,752,576,947,963,482,333,853,
832,190,821,639,926,856,267,683,194,255,975,370,845,221,283,603,925,497,957,
739,727,165,222,207,528,438,042,280,682,759,846,295,955,233,056,197,938,756,
589,726,957,813,502,807,621,169,794,408,003,897,797,830,884,140,536,075,967,
511,702,568,315,634,179,092,806,365,412,701,658,270,711,680,747,191,453,751,
181,800,948,993,264,565,962,773,556,935,582,426,289,018,257,502,535,453,371,
989,599,320,971,603,081,159,148,713,024,013,209,931,379,296,437,699,174,939,
094,441,858,796,634,950,937,536,064,965,896,018,205,592,580,645,860,476,890,
021,956,031,187,815,145,778,417,056,414,621,750,924,622,398,275,095,681,391,
010,194,675,557,910,299,738,260,547,292,082,164,551,327,849,555,822,773,669,
716,315,274,492,500,033,717,143,037,730,368,919,551,628,037,640,381,754,840,
809,142,901,744,102,852,036,936,318,333,905,767,622,416,189,472,159,327,744,
284,008,731,785,549,582,695,504,990,639,426,981,776,567,586,357,965,074,519,
317,988,900,977,504,202,616,588,950,758,495,253,550,249,743,922,648,337,272,
250,789,559,729,547,231,177,753,614,806,448,661,944,304,364,004,342,702,190,
750,366,553,587,450,175,519,129,502,811,817,672,527,082,604,956,857,576,349,
957,465,454,538,980,365,685,373,156,623,448,329,342,088,737,918,807,879,770,
777,036,738,724,621,506,322,372,362,750,129,218,392,457,447,481,207,601,947,
096,452,931,361,052,636,529,324,658,437,176,089,713,584,319,766,939,244,342,
135,968,352,494,042,760,056,622,627,146,183,530,244,781,160,851,149,681,096,
889,864,294,917,083,193,388,852,603,400,028,113,876,770,884,586,877,310,081,
474,833,393,847,435,376,228,699,981,100,085,500,845,833,839,424,062,385,757,
202,794,873,894,798,499,607,968,711,347,327,372,315,663,862,908,938,839,310,
188,870,551,508,855,203,877,112,927,188,383,027,740,181,123,594,050,763,839,
125,113,964,020,761,348,439,107,624,002,274,202,772,042,932,594,788,619,502,
804,686,529,495,277,262,669,268,600,144,188,606,500,266,687,047,070,520,194,
163,349,430,156,903,216,465,658,966,756,437,588,580,984,986,065,978,496,163,
811,357,312,827,929,615,696,890,104,397,408,593,688,319,801,862,829,285,529,
745,517,385,093,706,737,661,686,393,960,082,802,672,092,782,362,640,709,989,
496,092,251,694,603,290,531,004,761,482,918,825,874,237,443,591,804,739,123,
570,100,922,140,217,953,359,265,572,222,028,130,335,222,753,538,325,683,606,
221,152,395,190,302,327,872,879,740,889,778,744,943,348,583,979,064,902,452,
740,439,723,505,668,899,507,425,352,429,533,869,614,964,022,359,948,030,695,
054,973,697,891,213,674,030,338,199,582,029,637,120,905,263,281,226,756,032,
087,321,576,412,364,299,783,814,399,352,279,738,288,505,516,733,038,426,726,
320,728,173,886,045,698,890,968,151,599,302,776,190,758,949,744,754,615,243,
406,769,914,394,256,612,456,095,120,571,683,416,828,872,352,707,391,487,802,
875,903,001,890,894,083,221,853,087,765,733,444,455,598,721,683,522,918,437,
062,808,851,638,765,988,897,742,828,759,587,715,075,770,359,503,369,802,805,
784,764,878,348,799,742,639,797,562,489,054,416,031,024,481,509,782,886,638,
467,872,563,918,287,360,610,876,168,585,209,514,673,871,392,966,316,609,115,
606,187,449,923,370,455,161,448,217,995,382,477,440,675,753,957,877,384,392,
697,087,782,090,585,803,850,581,540,577,710,787,144,383,888,138,606,920,500,
546,733,303,679,862,833,245,969,133,239,033,768,084,800,063,173,239,299,994,
352,967,220,708,221,991,665,822,563,053,099,035,709,584,527,300,764,313,941,
636,942,295,375,122,597,659,412,465,165,562,752,112,074,454,032,002,679,911,
499,080,294,112,686,661,381,294,244,481,396,615,625,599,476,083,811,059,477,
422,426,529,677,865,201,216,048,898,197,277,137,204,310,222,675,767,884,126,
618,528,433,742,592,127,127,249,480,948,418,306,744,283,605,147,552,674,833,
521,904,009,312,972,015,605,657,646,384,659,613,653,233,968,807,019,105,023,
022,856,758,741,593,420,198,832,327,427,407,410,123,811,064,706,844,813,201,
915,460,784,415,550,047,861,556,616,004,661,413,641,814,425,098,858,706,298,
836,829,296,109,194,989,256,890,278,519,745,979,535,262,688,855,333,667,803,
443,838,734,558,752,049,385,878,546,676,938,075,105,406,536,167,975,241,505,
500,562,800,267,573,601,577,967,666,551,445,028,662,582,357,774,016,322,099,
573,283,285,708,092,169,555,380,811,197,323,049,261,950,609,422,450,938,038,
127,490,681,675,654,593,046,049,234,261,451,599,289,067,768,660,448,432,495,
499,215,955,231,988,256,559,199,307,980,962,961,711,336,184,676,630,445,060,
378,290,200,271,685,645,098,216,360,261,144,333,004,121,893,106,530,427,995,
854,339,575,967,243,434,883,643,556,964,157,714,630,227,669,414,618,715,805,
209,728,030,986,305,259,248,425,881,895,286,261,886,951,476,214,185,559,532,
356,344,636,303,135,082,103,725,483,522,205,896,604,913,116,947,397,263,544,
577,387,941,046,440,264,897,073,057,823,079,143,466,556,089,032,437,554,980,
686,667,072,104,266,122,899,842,220,200,634,442,950,051,009,272,966,512,142,
313,657,738,044,375,192,889,474,422,481,569,147,743,458,863,436,336,063,734,
389,265,543,780,939,680,357,105,645,488,936,081,210,320,925,748,428,646,809,
191,420,979,143,453,179,959,631,984,964,204,585,151,487,195,752,133,360,338,
139,097,582,747,939,851,942,340,516,081,643,268,547,319,195,454,822,221,154,
848,822,068,785,878,536,342,593,587,551,123,224,911,757,337,875,053,007,392,
505,844,403,265,224,781,206,584,848,892,673,647,869,154,713,505,490,109,533,
308,154,856,447,028,832,422,097,672,952,692,938,523,570,248,734,624,497,459,
896,992,320,611,459,242,470,427,246,947,012,397,253,752,735,592,029,088,770,
176,402,039,669,968,868,051,908,326,780,615,202,111,753,933,846,481,961,370,
568,459,371,255,580,515,829,945,489,365,037,809,268,740,236,300,288,651,664,
074,214,192,238,199,956,876,410,572,902,051,952,100,044,298,704,746,265,816,
211,707,101,512,063,540,880,849,347,222,331,251,286,704,086,498,492,423,861,
701,807,226,947,543,199,909,275,351,550,025,858,036,869,012,878,984,682,974,
994,779,422,123,395,090,930,607,861,757,749,460,201,673,831,082,211,478,402,
930,055,716,965,343,777,477,341,302,767,610,421,137,349,774,674,560,285,967,
647,553,094,954,796,247,302,761,406,548,619,611,087,456,980,845,987,876,401,
662,408,473,036,909,429,504,028,206,453,360,801,079,052,616,604,383,136,861,
315,115,841,059,256,617,900,871,936,914,716,550,595,882,959,646,808,349,273,
814,533,264,601,852,108,117,819,869,820,330,651,356,157,748,737,280,354,913,
550,170,926,287,177,239,072,028,574,545,015,267,694,533,689,598,883,285,607,
069,796,620,172,833,361,725,960,911,685,885,318,362,894,318,604,673,273,199,
328,457,739,085,553,800,553,090,134,450,787,446,294,174,118,096,236,301,751,
947,611,300,722,630,497,912,276,937,917,794,920,273,087,186,093,948,815,252,
639,779,142,590,305,723,819,082,688,040,524,728,071,544,915,634,318,190,295,
665,819,910,771,669,092,494,407,590,765,808,156,304,013,560,994,449,376,882,
051,077,125,760,067,365,499,083,580,750,852,343,779,254,294,748,292,987,757,
588,415,089,575,385,920,772,128,947,448,817,161,668,746,368,552,205,405,039,
350,893,798,375,921,224,156,962,985,973,050,013,410,991,406,832,319,675,421,
505,726,408,269,219,593,746,322,178,114,570,572,775,034,135,700,528,890,169,
391,324,020,014,005,659,414,591,234,318,600,146,515,617,077,423,713,955,759,
681,794,773,179,577,036,146,381,285,347,005,686,043,398,999,693,841,261,776,
724,373,640,725,735,753,217,335,361,556,958,879,634,212,996,878,258,226,928,
739,434,233,351,834,139,870,206,048,369,487,388,892,078,303,418,035,242,203,
143,393,869,590,160,671,419,386,251,918,684,810,995,448,332,119,419,960,552,
133,194,024,232,902,471,999,044,916,621,002,265,152,654,293,284,236,314,765,
442,695,971,559,854,432,033,173,506,690,109,581,636,314,281,385,068,382,747,
984,520,029,240,964,219,088,064,497,823,029,102,047,719,486,523,020,179,860,
774,749,098,297,995,089,601,102,704,176,115,394,198,950,110,312,600,038,899,
036,447,953,335,390,994,834,041,580,746,963,858,353,157,803,524,731,842,062,
055,043,297,427,311,730,847,151,537,814,156,475,350,278,761,551,097,824,251,
831,822,963,310,899,686,913,963,676,092,683,539,802,100,001,597,228,564,712,
278,785,204,133,166,807,479,492,004,855,465,241,885,074,508,271,385,146,531,
103,713,640,133,241,900,395,608,318,318,324,233,323,635,404,676,664,215,650,
082,451,069,087,041,109,139,568,426,474,428,573,722,489,381,514,214,676,487,
793,552,616,108,290,070,005,709,753,887,638,676,301,954,405,873,809,856,987,
618,115,482,761,503,815,992,184,795,110,551,432,855,659,618,774,878,048,546,
358,856,948,369,813,903,821,562,547,323,307,846,572,991,828,005,252,690,375,
463,488,576,304,937,681,089,688,447,268,357,162,798,574,244,436,390,148,262,
624,922,234,052,449,639,148,599,261,031,211,466,109,418,437,348,844,912,576,
231,203,243,557,717,834,430,988,732,030,790,236,758,218,805,095,597,004,523,
561,634,441,669,416,097,265,150,899,193,791,932,813,517,629,840,523,278,212,
188,020,512,587,183,998,261,813,431,599,285,215,499,782,662,207,623,452,738,
854,526,307,411,696,740,543,879,297,823,378,336,135,016,057,490,990,385,056,
923,148,889,370,889,116,207,877,187,759,113,733,633,031,249,166,978,688,517,
763,777,180,180,242,233,067,786,465,918,886,617,592,356,811,417,418,736,162,
257,613,267,567,606,458,102,618,607,765,228,546,727,886,668,330,133,017,443,
370,179,256,856,445,188,704,261,334,575,739,585,514,505,570,973,772,490,787,
010,230,399,101,787,975,530,184,200,085,072,344,046,734,994,856,151,946,633,
008,413,561,679,720,604,490,778,631,550,083,589,173,013,482,921,014,077,042,
425,122,160,942,239,935,151,225,036,607,457,203,402,329,118,195,769,569,455,
922,513,259,400,318,635,320,383,276,837,060,042,328,398,563,590,273,599,800,
618,851,176,015,146,372,042,234,030,702,510,974,575,996,667,754,849,677,099,
211,966,729,481,747,985,692,385,786,450,052,469,455,731,553,688,372,116,064,
812,713,468,826,783,732,253,496,876,233,873,083,366,341,795,559,193,548,621,
777,918,275,978,068,040,396,601,549,485,210,521,670,936,877,218,516,187,517,
418,046,423,842,802,981,829,281,089,150,020,355,791,798,405,988,487,555,082,
666,741,203,469,472,332,716,730,168,874,686,065,486,629,451,023,381,736,767,
873,633,728,768,187,455,022,501,589,605,444,593,701,272,193,550,918,997,268,
515,549,715,198,009,566,878,364,468,491,374,525,717,679,621,279,218,303,047,
813,932,462,009,702,475,433,356,759,274,469,583,303,320,404,611,632,156,951,
993,748,146,127,726,105,748,803,688,199,106,317,741,811,209,281,354,260,726,
843,374,226,818,065,313,047,116,232,119,015,493,637,491,843,617,867,245,738,
490,483,070,121,841,487,835,551,267,807,645,601,848,863,012,296,060,850,276,
259,393,714,038,569,950,521,034,933,496,532,522,160,354,490,300,224,740,519,
476,286,078,495,815,555,046,932,687,702,783,800,566,492,532,814,783,079,149,
089,165,199,849,540,314,225,137,365,838,489,842,147,702,123,478,222,229,276,
561,376,669,426,301,299,651,447,214,219,158,027,197,860,252,216,181,933,955,
948,574,108,680,389,123,476,778,754,612,807,052,648,919,060,049,082,407,276,
131,170,959,697,467,187,448,295,508,449,786,722,322,098,329,490,223,864,295,
847,182,964,799,467,228,546,027,253,098,080,169,771,372,518,673,224,800,448,
770,494,657,102,758,870,820,106,985,655,928,695,991,567,669,257,858,950,978,
543,322,332,395,340,283,090,881,306,189,074,138,327,241,681,967,149,360,543,
944,559,195,651,307,421,328,956,429,753,053,074,542,541,883,065,082,190,878,
186,936,710,676,950,463,540,066,410,539,523,092,133,395,850,352,015,045,174,
084,263,533,264,830,743,071,629,091,055,556,776,191,199,788,261,346,541,542,
842,725,515,248,054,000,811,057,606,675,536,851,486,890,451,909,226,730,697,
323,291,570,313,752,522,776,183,619,942,960,948,535,906,775,041,850,804,720,
432,593,948,208,744,066,704,062,916,481,946,122,239,703,638,303,909,793,930,
367,702,524,064,194,611,824,445,752,022,803,120,753,111,779,574,867,227,124,
078,496,258,982,068,949,426,387,307,435,286,155,518,944,004,281,450,117,602,
781,787,645,494,869,900,632,007,810,761,020,811,963,185,073,330,021,175,330,
945,310,059,188,379,953,720,535,388,304,634,782,945,352,068,124,449,123,198,
564,154,212,295,318,660,183,847,914,518,429,896,712,474,791,419,959,876,768,
159,921,376,776,079,407,753,134,886,777,589,504,001,737,885,034,254,723,376,
801,483,573,461,410,105,276,014,402,123,961,226,823,770,453,327,641,802,165,
767,917,316,509,006,300,108,125,631,484,381,917,018,618,309,763,535,115,801,
817,326,448,864,283,819,485,762,073,507,322,274,506,486,204,827,419,025,734,
306,744,928,202,498,747,148,569,296,241,016,154,198,616,177,634,931,655,336,
548,536,189,371,645,749,918,152,482,175,142,525,671,117,273,343,478,285,095,
950,426,106,514,120,535,118,921,590,249,742,530,432,881,383,468,246,646,604,
408,866,820,087,347,317,279,313,568,794,510,957,686,737,712,926,180,749,702,
025,941,450,355,387,017,874,404,189,991,205,664,498,026,810,224,975,236,575,
489,054,736,602,761,685,458,746,961,968,205,226,849,400,678,202,025,338,601,
068,754,740,844,171,350,985,151,971,681,423,949,722,639,069,224,655,709,712,
205,117,141,015,157,329,317,896,939,338,229,671,512,286,757,467,123,995,186,
858,756,637,111,664,292,003,850,236,287,593,147,870,996,286,042,100,940,924,
380,520,687,832,395,052,333,081,120,797,605,714,010,487,780,795,193,404,717,
228,985,310,152,100,253,573,757,193,134,441,992,389,734,210,611,067,412,306,
398,299,086,023,292,329,855,826,633,960,161,608,918,595,573,213,763,280,038,
192,800,835,307,815,398,081,339,121,877,105,131,229,271,651,066,905,062,568,
100,033,333,709,721,259,355,001,624,738,570,354,971,117,811,300,601,323,127,
370,152,603,700,389,314,838,339,867,874,233,650,312,947,180,684,560,661,639,
957,619,185,849,020,330,079,605,424,029,555,781,902,348,310,726,147,615,937,
266,085,601,713,180,175,496,727,409,062,319,020,199,509,190,702,025,982,171,
902,479,340,198,533,841,393,285,738,209,904,988,162,487,488,312,027,430,305,
426,388,607,952,049,547,157,824,367,631,501,136,052,749,997,073,325,902,526,
233,773,252,655,513,423,997,682,767,615,868,724,624,967,230,205,420,675,666,
004,462,174,417,851,785,082,686,030,207,382,282,097,057,969,252,081,010,987,
596,041,423,302,163,505,690,608,223,655,733,867,702,504,200,489,124,554,641,
201,335,961,850,944,761,351,935,902,760,107,008,404,278,765,533,838,177,472,
369,678,129,814,106,443,357,494,342,564,871,224,492,123,860,314,110,380,768,
393,529,779,225,502,484,042,198,403,242,064,207,931,462,329,732,011,789,168,
233,903,596,946,779,978,708,093,637,474,015,162,411,351,908,567,376,592,813,
585,459,109,076,364,917,986,949,158,269,310,461,433,971,258,190,642,308,844,
638,140,072,951,618,826,111,600,506,442,700,456,714,217,372,285,122,495,801,
464,198,567,914,044,743,339,616,872,344,329,518,294,726,706,738,408,576,198,
277,330,926,323,967,614,039,925,645,998,935,349,296,369,418,144,494,860,589,
933,141,556,397,233,981,963,198,253,411,594,573,557,454,563,875,944,952,631,
296,908,424,823,257,907,448,026,202,945,740,312,997,476,512,676,895,105,285,
099,753,163,078,665,613,788,740,322,122,845,634,088,749,092,490,123,718,648,
839,538,965,668,452,051,781,679,382,508,503,885,768,151,450,058,312,350,774,
291,925,638,562,551,146,630,428,774,032,019,491,377,500,198,713,545,608,796,
277,193,229,305,122,101,239,791,590,566,952,099,246,621,944,556,954,341,885,
777,281,823,749,132,396,389,588,524,387,815,596,137,155,077,711,103,136,944,
567,179,506,846,095,454,962,237,224,543,315,476,131,456,662,338,277,798,492,
324,863,266,562,373,038,585,136,328,118,393,300,683,729,652,168,812,040,379,
853,845,757,115,545,203,583,073,896,944,752,166,429,408,520,338,139,832,449,
462,802,908,015,878,203,474,292,532,832,862,655,005,833,463,204,066,726,044,
889,278,426,237,537,853,696,838,175,403,464,654,250,310,548,772,638,633,157,
557,486,390,617,998,446,313,783,277,602,016,837,920,253,744,217,267,529,151,
159,634,153,265,263,596,429,384,671,814,553,706,007,394,380,034,563,101,545,
389,322,162,063,803,985,096,788,179,926,969,018,384,859,567,593,818,538,811,
553,447,276,354,508,297,551,704,267,090,057,833,218,955,441,381,655,746,845,
643,510,219,768,475,100,494,053,077,640,053,342,737,454,141,441,306,159,935,
519,360,613,919,404,448,806,034,667,348,607,363,774,228,562,268,559,304,383,
908,727,809,035,179,846,868,480,304,771,343,556,260,126,799,574,110,948,725,
448,485,016,319,294,816,260,037,112,676,296,761,547,163,839,796,158,441,768,
205,817,717,761,371,593,900,584,030,324,532,890,302,780,660,448,513,317,245,
738,858,761,033,047,154,970,573,845,632,338,792,907,396,443,554,570,784,627,
746,470,844,997,674,052,582,984,897,449,802,770,517,249,764,588,626,554,372,
476,151,231,318,079,928,070,728,758,568,507,240,741,849,902,554,621,787,633,
291,027,786,826,585,531,899,785,168,493,014,926,226,719,108,874,013,976,955,
983,733,204,799,355,172,443,276,013,956,515,334,921,696,271,327,637,286,606,
478,818,058,093,176,002,140,263,241,113,262,456,994,322,234,073,304,493,089,
055,954,772,814,854,205,623,552,843,770,022,791,710,742,707,241,402,776,054,
140,746,721,319,536,491,203,413,367,961,261,874,340,095,278,492,528,800,969,
220,362,477,577,865,900,987,950,146,891,579,873,716,830,893,726,676,929,201,
273,056,269,096,675,844,581,867,382,868,899,835,189,067,671,719,909,056,061,
623,082,831,394,965,627,181,921,271,614,954,385,745,652,296,175,748,237,277,
973,442,548,131,473,953,287,048,570,811,847,085,785,821,488,536,335,167,873,
051,222,962,358,392,124,316,209,094,393,045,742,011,215,584,741,468,655,534,
834,723,701,183,948,148,271,802,095,332,530,866,462,145,427,795,676,297,229,
569,598,800,167,133,462,036,866,685,043,763,175,137,901,714,509,673,680,282,
404,269,927,574,520,589,085,401,788,721,873,412,925,947,457,641,134,939,995,
545,362,583,565,633,551,848,982,504,534,618,584,919,738,206,551,845,473,925,
172,081,316,116,222,241,640,016,677,456,512,724,779,557,068,533,186,200,464,
124,165,153,108,542,415,666,217,697,235,207,232,851,670,900,364,378,522,785,
109,296,857,271,774,148,624,108,633,680,463,650,893,603,562,999,476,507,382,
916,490,883,324,855,597,434,417,085,253,545,226,436,120,174,130,310,021,569,
547,956,747,652,212,714,772,212,571,036,277,529,302,497,353,785,777,865,955,
548,172,952,823,551,788,950,380,830,960,782,436,273,838,189,184,902,414,201,
951,377,273,629,332,134,379,196,895,583,698,035,040,111,161,630,230,986,265,
921,431,819,066,651,837,681,734,617,851,552,682,363,945,691,757,069,457,598,
652,745,663,015,905,548,952,656,348,970,228,569,505,636,987,703,196,059,087,
296,386,191,069,690,450,903,304,291,367,575,097,668,410,507,978,014,328,294,
444,227,220,510,502,431,882,689,571,368,073,019,280,729,720,710,489,414,760,
419,598,176,119,372,091,372,232,634,391,166,632,052,373,079,477,773,234,308,
038,963,615,546,108,587,107,069,101,436,141,790,133,739,011,537,560,420,681,
971,051,210,021,604,574,209,827,522,353,810,097,965,868,315,844,002,724,751,
451,312,301,476,480,866,134,165,222,946,268,708,502,002,892,994,787,048,348,
952,639,225,653,367,457,604,385,928,966,979,523,648,293,912,484,591,754,611,
108,052,438,691,426,867,146,977,058,694,529,169,597,438,942,591,493,653,240,
844,879,712,127,062,066,222,097,603,615,507,096,849,084,203,208,474,938,108,
141,944,025,197,712,763,920,193,611,367,870,622,758,908,620,934,670,598,175,
474,741,428,496,330,778,128,405,022,578,457,383,186,106,520,719,844,284,160,
672,637,510,701,578,110,383,619,013,979,310,578,953,249,924,969,914,361,578,
178,926,705,340,225,638,469,525,173,531,391,972,058,426,928,963,717,993,478,
503,143,590,149,268,807,635,442,101,802,781,548,192,440,883,329,550,509,477,
056,552,075,419,316,991,775,735,652,793,813,163,675,755,121,742,072,387,774,
698,927,104,660,717,666,999,231,180,611,485,556,223,131,048,450,344,119,367,
326,700,609,501,350,804,647,293,717,660,908,779,815,487,189,597,898,334,958,
455,042,903,441,511,322,381,135,842,176,807,853,303,765,131,798,736,891,698,
609,991,010,718,191,861,609,672,730,032,093,177,877,529,720,545,688,266,075,
776,829,574,838,051,640,983,744,662,168,171,545,470,228,139,866,849,596,533,
528,164,170,184,078,982,800,117,016,832,095,591,539,348,724,636,909,312,417,
612,256,797,702,054,096,506,713,489,687,730,286,303,318,885,916,820,809,148,
837,494,649,089,905,142,795,308,154,593,295,331,952,758,589,113,566,657,605,
524,654,050,360,138,439,111,707,359,198,102,377,429,738,880,306,983,881,780,
113,216,476,485,208,702,711,679,812,401,417,504,238,896,613,990,854,848,809,
963,422,142,249,636,670,383,924,769,234,568,815,778,868,535,808,989,411,046,
986,661,279,990,616,352,130,428,978,569,660,811,262,939,514,479,286,124,639,
803,759,804,150,648,561,006,397,277,907,874,783,013,793,293,776,431,919,561,
603,294,027,828,447,917,159,321,329,841,928,951,201,392,848,486,685,769,308,
512,750,739,747,477,590,860,008,972,368,520,411,642,740,324,175,410,057,611,
058,748,887,514,557,993,967,267,632,895,540,899,135,100,676,472,574,259,450,
593,079,416,698,819,569,266,641,945,494,602,539,048,398,680,282,803,432,381,
878,418,650,118,378,660,790,613,767,669,674,762,372,473,253,044,074,301,150,
545,643,840,839,462,493,555,491,055,085,898,534,372,512,790,175,404,508,432,
235,368,850,073,496,521,214,264,989,196,298,620,193,377,119,141,014,370,273,
369,974,358,263,899,820,440,665,816,709,939,814,960,265,203,248,820,663,266,
910,901,798,151,595,558,285,774,641,672,373,245,362,136,410,095,449,308,190,
811,843,818,438,269,895,319,140,135,214,584,131,967,539,272,100,393,567,255,
174,460,828,796,739,968,940,867,789,027,029,665,132,667,896,755,079,763,648,
181,676,993,567,085,098,448,783,710,693,758,850,833,055,713,530,395,281,486,
819,411,840,772,719,703,006,055,953,719,781,318,543,836,205,544,812,748,183,
512,417,942,520,381,055,099,311,169,575,972,947,384,627,612,134,172,237,509,
434,565,676,607,455,218,366,998,937,668,759,612,864,840,795,037,090,431,210,
462,445,153,081,029,031,251,233,540,622,943,118,115,937,239,215,770,410,874,
638,074,344,315,952,187,187,289,153,341,990,635,733,541,408,604,370,654,684,
347,024,795,814,413,554,593,800,158,016,249,505,702,885,115,436,579,141,601,
877,442,129,057,419,511,439,763,708,259,638,288,978,079,840,091,525,359,749,
127,677,879,996,730,812,363,865,566,341,666,529,573,209,560,907,459,536,471,
772,139,313,584,508,147,450,964,271,162,084,993,043,002,309,888,127,810,944,
963,924,845,075,487,105,536,395,809,222,828,847,014,525,299,315,591,216,591,
340,932,235,806,576,481,024,332,794,878,494,590,188,260,263,663,519,175,115,
115,906,024,575,694,333,293,096,038,100,825,496,565,489,680,548,948,185,819,
617,856,071,616,692,072,718,109,048,030,345,559,229,667,332,654,522,148,896,
941,758,182,764,242,094,632,453,438,764,129,223,444,004,020,269,658,486,606,
496,590,120,761,355,567,208,081,699,926,968,416,119,461,077,623,452,825,394,
037,652,434,725,787,354,612,174,367,894,647,190,510,630,376,471,156,285,972,
439,267,122,362,599,340,120,667,366,954,146,833,130,949,437,290,722,008,885,
821,495,276,002,359,175,941,276,740,058,317,497,923,744,256,046,988,338,270,
260,366,259,539,446,827,258,072,855,023,148,965,552,157,504,779,693,285,408,
839,198,076,556,139,120,650,968,620,246,571,148,084,432,680,789,863,926,651,
942,797,812,428,009,688,080,938,153,039,730,058,626,615,128,837,905,825,763,
359,057,540,269,692,340,799,855,274,333,702,084,655,464,081,744,292,089,753,
502,772,809,921,984,687,301,746,712,469,163,843,743,379,641,631,408,641,342,
545,774,696,254,824,601,540,934,427,766,324,200,921,666,699,034,567,521,708,
233,641,423,652,582,134,967,515,216,509,551,923,434,839,024,664,183,940,886,
315,699,669,996,431,266,743,844,003,556,380,176,101,106,143,642,070,755,377,
955,771,995,083,987,751,907,018,768,740,643,170,306,164,273,209,943,573,175,
442,362,949,782,581,629,373,728,082,248,066,843,045,647,588,826,573,910,249,
225,674,179,150,673,427,808,915,163,398,243,781,627,589,331,226,346,404,856,
886,699,410,771,739,730,880,235,564,556,788,361,900,864,134,848,414,793,122,
790,742,591,364,108,226,814,396,093,152,920,416,290,998,596,484,054,709,794,
089,212,015,117,299,000,846,533,722,521,769,924,372,119,595,914,030,940,055,
774,187,123,887,245,914,066,373,959,543,865,216,043,974,420,573,641,132,866,
103,032,544,314,675,877,326,854,681,398,920,594,155,216,218,558,317,649,338,
168,091,245,061,323,856,478,817,891,540,753,099,525,383,014,326,967,370,747,
382,482,459,636,537,695,297,130,971,803,513,605,912,123,620,316,177,380,089,
762,028,242,558,662,104,326,371,706,152,376,060,432,599,438,469,322,798,002,
634,333,487,463,281,654,925,807,446,573,351,929,044,039,253,982,452,826,311,
961,698,872,793,015,138,374,215,251,940,475,361,248,803,558,345,506,315,756,
382,593,997,721,846,479,521,078,145,034,627,552,576,806,620,054,538,093,824,
319,785,144,739,741,875,674,504,660,607,787,963,210,151,238,864,102,653,832,
309,972,899,594,867,610,628,945,655,317,763,765,603,572,144,811,142,126,757,
405,515,256,285,211,625,604,877,785,933,213,008,415,318,389,918,585,367,618,
417,127,479,142,270,748,291,066,734,873,937,277,162,305,940,955,465,635,027,
452,963,605,553,201,164,338,280,408,712,318,551,549,881,401,768,551,020,236,
020,130,018,834,005,374,476,090,206,769,049,424,206,896,826,175,502,784,948,
063,557,156,945,851,727,570,457,778,984,023,604,555,422,832,884,888,797,185,
309,233,721,190,618,753,959,155,729,920,585,005,898,146,022,507,163,649,417,
411,511,314,154,052,887,650,152,646,961,379,751,153,433,506,265,416,879,210,
825,919,433,949,714,551,769,910,422,096,714,009,070,550,590,409,503,595,553,
737,674,575,415,488,370,792,343,607,161,526,067,197,672,330,659,008,181,763,
166,468,697,291,575,573,461,589,796,379,479,638,816,009,442,664,881,270,467,
113,242,885,516,527,524,861,368,833,565,052,519,764,702,710,345,977,080,464,
961,482,589,554,406,052,126,513,158,607,355,266,142,538,714,466,496,217,557,
145,765,126,136,078,580,932,245,080,407,004,259,203,133,741,511,144,462,213,
199,287,844,161,062,680,924,692,471,683,798,607,602,892,828,455,430,177,338,
636,078,729,401,465,537,500,406,392,172,161,309,255,456,660,648,163,881,310,
600,157,592,917,910,527,967,823,752,985,131,287,535,512,376,784,456,888,774,
253,476,885,956,568,843,795,099,260,572,427,184,427,225,298,576,042,801,206,
039,155,522,206,618,572,959,235,768,851,443,784,039,824,559,790,074,140,235,
478,143,728,570,590,492,664,650,525,123,457,512,500,022,676,844,220,444,878,
554,817,208,176,057,837,907,238,014,615,325,492,417,282,313,054,603,895,925,
364,253,929,038,104,354,129,298,853,076,409,465,207,689,952,782,070,316,707,
034,004,013,262,666,500,548,920,493,614,296,074,749,331,675,214,533,265,091,
033,930,500,524,878,945,138,361,864,767,476,327,185,949,499,127,147,001,576,
428,060,440,260,950,382,040,409,017,261,446,085,502,411,552,253,427,664,574,
524,980,153,215,370,130,524,745,070,713,461,350,434,488,052,668,239,577,406,
969,752,005,861,740,589,482,574,586,383,263,241,595,904,698,363,832,255,501,
493,647,480,540,354,308,613,385,930,456,543,084,875,685,448,328,407,190,426,
805,281,112,753,043,260,445,999,249,621,146,558,454,826,415,849,469,345,699,
687,152,909,673,949,723,765,743,570,465,737,582,197,857,209,050,267,978,427,
093,680,486,150,747,245,261,110,410,747,940,051,277,698,910,623,932,171,846,
124,485,938,650,919,311,625,902,617,254,364,965,201,429,084,055,212,984,142,
824,402,662,740,755,660,772,140,537,065,875,260,746,451,963,197,725,105,264,
605,524,101,308,371,172,924,859,167,473,502,643,528,256,533,525,400,226,686,
799,360,594,276,820,451,297,209,433,289,767,454,526,290,240,172,129,989,820,
833,203,070,934,368,842,884,930,925,009,306,865,184,298,058,294,012,923,714,
717,538,607,833,670,848,467,980,586,133,117,728,390,983,597,886,208,131,364,
538,373,144,375,077,213,719,759,846,885,639,363,368,674,587,172,822,081,225,
858,393,347,660,853,905,784,590,585,646,151,560,294,977,948,179,308,956,532,
033,520,501,298,953,342,539,252,861,999,786,169,935,231,547,714,680,321,731,
898,844,368,172,387,367,943,192,975,097,346,852,951,175,728,669,142,721,593,
651,709,889,462,051,816,377,940,115,468,947,534,917,766,824,255,727,913,349,
745,188,452,576,024,509,842,116,598,163,949,255,175,532,210,528,700,814,227,
669,920,741,793,199,246,415,536,519,633,214,501,338,410,458,191,719,032,378,
195,113,131,226,464,142,092,207,495,435,053,447,708,041,809,952,683,582,478,
165,420,933,479,576,831,743,898,092,441,286,841,712,093,077,789,293,215,870,
419,291,812,313,315,036,087,562,515,845,723,536,541,116,459,012,360,098,208,
040,215,245,164,152,793,727,862,157,379,579,504,337,682,111,230,052,321,163,
360,829,014,535,217,850,222,909,644,677,127,236,131,127,458,234,012,123,254,
352,360,296,832,970,511,334,824,917,258,885,348,867,567,006,431,595,142,522,
969,299,209,842,005,422,292,038,819,809,957,018,645,966,393,275,078,316,509,
012,038,148,625,047,198,257,165,124,611,836,742,984,831,841,404,010,329,475,
966,479,071,576,144,469,021,317,014,364,344,535,783,162,049,976,806,242,381,
506,840,804,862,201,960,429,264,056,792,236,316,311,944,187,776,504,090,246,
361,731,595,752,510,099,064,636,783,133,476,418,786,574,652,245,395,687,459,
822,071,145,053,364,401,203,765,299,350,150,557,442,564,986,045,898,531,337,
184,212,901,665,798,529,133,951,863,506,795,915,830,806,852,344,924,980,310,
921,230,011,705,879,473,918,219,920,989,775,218,127,834,716,240,296,575,056,
350,847,818,252,567,024,472,497,883,946,025,881,084,703,476,020,219,322,021,
786,704,118,848,819,924,228,552,057,314,985,978,293,599,890,529,472,858,843,
369,003,320,664,319,885,892,844,950,529,231,578,752,675,785,374,893,602,791,
568,399,285,528,356,074,969,181,178,219,138,969,998,889,650,824,638,736,980,
961,865,678,768,780,865,169,371,469,637,335,814,304,817,118,389,735,763,966,
904,841,968,076,346,542,707,135,445,917,090,123,735,363,450,731,870,248,394,
797,339,926,525,702,436,646,460,378,021,872,527,976,142,574,621,690,922,491,
842,452,041,022,251,317,744,132,732,911,877,611,446,097,400,146,723,183,824,
624,979,618,239,066,939,851,849,361,489,575,290,179,736,692,604,842,893,131,
952,969,046,656,371,594,557,500,358,239,682,515,392,660,281,967,405,708,426,
442,519,549,767,559,037,759,467,896,415,142,872,710,135,827,964,144,456,771,
276,271,744,950,409,633,918,118,605,653,963,861,450,289,201,330,884,673,379,
392,314,792,046,308,712,120,622,309,580,990,910,155,446,583,048,833,737,972,
112,278,180,329,229,507,618,616,854,871,619,782,237,457,458,368,118,043,579,
390,675,727,201,850,328,072,554,163,089,911,520,222,425,886,520,774,843,012,
747,146,161,021,144,897,793,773,586,994,135,693,764,647,329,431,059,878,929,
935,725,660,622,916,865,804,572,165,463,004,158,042,031,813,477,659,970,825,
289,538,508,015,274,227,870,201,047,010,113,310,265,289,881,111,677,748,660,
967,229,421,803,911,724,209,231,946,714,548,958,299,785,090,538,048,248,893,
366,483,241,725,263,927,532,520,169,369,652,340,768,989,433,580,118,057,969,
347,946,053,360,701,049,918,222,220,381,256,798,934,675,913,557,497,287,572,
980,248,017,835,083,495,731,614,319,784,394,442,356,531,487,263,902,073,320,
400,572,451,786,493,520,584,694,187,117,937,039,963,028,872,938,323,868,786,
101,791,309,961,696,199,482,529,725,415,819,215,536,502,350,704,868,532,618,
428,013,216,359,926,991,961,155,556,354,788,867,604,962,306,952,122,722,438,
168,625,247,729,236,854,774,854,327,957,469,834,167,619,316,247,727,558,350,
714,223,376,115,271,650,651,038,753,175,768,963,734,885,390,164,058,416,356,
732,090,814,708,767,853,283,773,458,256,079,001,940,697,867,899,280,848,304,
704,294,214,035,920,487,560,881,423,029,928,979,264,666,951,621,723,273,318,
129,784,359,676,927,675,239,913,169,548,507,578,438,776,713,622,217,645,528,
314,198,926,623,639,699,885,108,641,731,469,623,218,075,015,587,959,547,485,
543,866,200,608,431,866,256,484,967,063,256,386,432,706,681,251,497,906,375,
401,871,614,020,889,420,189,907,981,168,949,615,019,647,281,912,073,357,859,
374,586,357,059,894,059,361,331,504,989,556,664,021,994,095,392,605,203,204,
081,853,705,644,912,106,180,828,483,596,526,477,379,207,736,443,059,112,298,
657,708,649,908,787,598,836,923,638,424,436,796,833,514,321,847,137,100,227,
119,842,352,407,111,825,548,330,026,861,128,368,842,394,178,175,171,452,432,
600,079,074,403,072,746,719,010,473,972,802,006,342,464,967,506,262,019,456,
230,878,552,413,492,931,993,844,483,963,102,248,297,440,673,530,783,318,950,
525,664,477,894,419,830,190,974,124,760,092,769,184,763,211,437,675,851,776,
164,541,496,509,699,149,494,559,003,850,807,406,001,573,644,785,975,766,588,
162,559,542,709,521,293,131,132,451,639,577,864,927,781,897,638,360,693,205,
577,947,710,714,126,141,791,654,250,991,357,502,807,988,528,440,036,125,625,
854,274,684,382,302,754,001,270,693,927,830,554,196,141,763,870,270,389,845,
157,545,316,258,921,737,974,275,496,756,125,616,763,820,905,509,520,440,267,
987,462,618,967,644,941,016,886,063,535,732,258,330,025,642,855,859,096,107,
245,750,322,265,217,755,974,779,179,650,784,131,825,195,223,998,878,724,412,
821,139,718,280,276,004,966,377,019,984,916,126,444,755,941,845,896,240,416,
337,312,738,309,901,822,075,904,703,599,514,233,988,230,693,646,686,141,435,
055,041,516,851,888,110,060,448,007,160,156,944,559,513,267,497,460,724,276,
507,926,716,651,379,622,426,298,860,633,132,544,409,741,704,562,505,322,720,
597,654,752,241,610,157,530,006,398,155,068,640,961,798,648,786,680,422,250,
473,282,168,511,706,047,272,626,854,789,848,161,881,758,468,464,134,051,459,
971,951,627,875,948,319,440,881,203,985,614,665,628,193,052,521,396,403,702,
208,197,574,840,210,595,186,261,930,407,043,361,117,631,351,102,263,876,113,
871,832,324,961,610,514,554,112,848,169,796,242,421,693,671,636,879,595,745,
749,180,899,574,385,344,668,833,854,300,031,167,266,273,021,726,562,685,568,
014,930,281,049,441,166,088,439,787,536,792,482,588,247,513,092,500,485,482,
559,130,290,570,171,535,546,610,348,035,137,618,715,724,834,400,367,564,609,
875,381,084,901,765,867,337,499,753,363,982,548,239,061,516,196,961,097,155,
296,728,090,503,029,374,891,430,378,456,275,157,234,879,067,187,864,106,280,
381,647,934,446,780,888,827,192,363,339,833,390,495,646,015,163,325,939,894,
752,779,788,521,160,172,769,589,678,603,134,400,832,502,391,824,133,875,766,
637,931,669,119,888,352,455,994,103,118,551,075,826,087,066,730,667,230,798,
470,765,163,446,048,651,228,565,088,990,028,517,008,502,447,950,319,258,869,
621,789,743,129,576,578,806,284,410,123,512,229,022,888,656,470,103,025,968,
204,260,991,011,185,372,366,519,709,318,927,341,185,440,635,055,390,371,350,
464,071,995,165,200,282,434,625,280,315,685,040,060,934,935,303,406,253,259,
853,994,404,535,908,787,817,924,236,491,037,497,423,970,308,186,602,132,591,
405,293,367,511,524,157,207,153,973,887,134,099,455,705,212,661,988,065,570,
360,735,682,312,310,934,301,084,670,090,017,874,898,082,771,144,032,344,033,
450,744,628,670,322,802,079,579,101,329,170,375,195,213,179,964,271,616,211,
607,983,594,420,875,585,701,743,116,841,949,114,207,741,189,641,697,673,448,
861,336,366,624,291,080,888,708,828,017,042,410,176,833,504,011,023,157,425,
229,970,912,202,428,565,195,652,292,238,175,451,151,351,723,385,834,971,959,
230,357,463,009,885,687,228,486,936,747,342,933,818,423,575,580,425,759,774,
697,220,837,757,643,834,752,049,501,724,506,203,673,580,830,744,854,246,569,
225,592,303,520,558,960,475,919,524,516,960,571,779,534,446,419,104,596,121,
133,612,153,716,225,096,552,957,693,087,711,066,473,878,148,255,768,558,203,
095,149,504,203,667,897,330,161,985,401,232,282,798,059,155,300,863,901,909,
685,851,810,548,530,560,320,700,735,238,258,103,508,193,101,314,232,040,797,
497,756,192,996,768,171,648,443,760,893,161,144,424,168,937,967,047,592,732,
660,772,080,309,702,855,419,935,324,679,292,490,638,895,910,992,952,683,378,
487,953,927,618,565,624,391,217,594,402,610,265,145,003,415,713,637,432,874,
987,306,363,678,116,168,797,530,286,374,068,652,332,950,880,258,677,418,353,
811,386,745,920,888,177,898,229,163,871,975,992,853,977,635,834,664,574,856,
963,158,008,712,534,728,638,969,650,611,124,547,591,973,151,888,594,964,949,
054,330,021,160,307,333,390,618,221,931,467,928,458,226,239,762,920,657,481,
835,185,587,581,068,456,780,658,120,168,429,086,500,102,994,295,147,380,952,
921,988,294,332,429,939,532,493,400,230,490,748,456,437,309,233,437,155,341,
355,822,416,672,766,330,604,784,859,458,815,409,120,936,587,456,041,020,004,
186,811,113,868,334,737,282,262,149,202,040,942,373,276,220,014,800,205,272,
821,422,500,092,762,343,039,061,183,058,604,813,151,864,871,153,460,045,158,
812,036,821,919,768,998,169,353,589,050,377,998,371,252,238,995,585,648,905,
769,212,615,689,536,893,961,234,394,668,530,832,095,677,210,543,048,111,755,
804,675,071,184,402,969,268,262,353,139,093,258,750,209,432,940,213,823,423,
218,059,738,605,338,953,572,920,749,702,512,023,106,675,410,022,800,409,081,
187,293,787,692,899,963,101,513,112,147,999,349,977,587,623,874,830,011,787,
822,473,729,338,071,770,782,161,898,111,101,503,058,903,204,259,062,145,714,
750,195,026,292,506,853,121,079,651,232,028,799,358,142,762,695,008,299,297,
847,694,268,798,216,874,777,917,326,247,844,891,440,226,896,674,380,354,878,
399,105,505,782,187,521,288,345,424,055,370,570,241,335,209,013,932,868,178,
353,073,166,476,648,485,405,324,646,948,226,247,466,215,058,356,925,024,805,
487,643,966,431,518,759,207,740,243,968,029,651,682,907,758,689,040,319,303,
230,432,332,629,125,723,610,755,800,025,516,297,079,008,855,862,410,137,480,
048,185,002,115,507,649,911,552,315,198,070,733,440,583,019,578,203,006,191,
535,122,166,862,634,726,159,330,350,450,494,253,134,662,442,578,111,861,537,
146,721,256,835,513,542,378,214,612,493,359,929,923,836,251,551,460,400,733,
610,633,906,061,567,693,657,797,126,472,788,015,741,534,603,269,047,186,688,
981,307,429,847,151,509,792,158,251,311,853,852,657,400,942,440,406,824,094,
245,716,404,138,918,746,128,864,681,501,393,814,276,264,399,464,141,970,417,
356,500,443,713,720,297,322,260,863,883,769,805,087,490,821,649,973,270,795,
514,993,151,889,790,857,793,428,293,560,065,115,353,249,320,582,865,940,561,
843,634,867,525,734,889,737,818,112,495,432,249,435,075,890,064,174,271,260,
612,752,575,972,878,957,739,601,783,768,796,266,885,001,486,807,551,499,945,
323,506,494,953,738,287,627,617,224,730,119,364,874,555,965,986,460,576,778,
867,989,198,307,597,249,877,118,209,295,092,263,420,920,614,064,855,135,867,
468,986,549,830,610,904,851,688,048,891,053,541,652,431,486,870,750,039,660,
765,074,151,121,973,094,258,291,632,064,620,031,047,411,063,184,271,760,296,
571,860,263,367,067,510,173,622,551,044,592,759,338,931,016,583,516,814,500,
320,056,215,369,272,254,514,218,776,942,094,101,215,852,013,415,184,837,411,
214,665,940,470,230,381,874,756,372,649,921,484,909,827,883,193,139,666,485,
244,287,772,478,370,452,172,275,047,653,314,653,573,157,182,879,132,503,122,
334,048,076,594,298,515,750,434,548,824,728,085,359,975,768,058,909,422,417,
106,577,977,382,786,916,193,802,798,301,465,897,591,268,221,586,162,527,899,
264,114,260,478,839,720,246,598,026,137,085,265,683,281,658,537,097,448,878,
407,040,330,752,299,701,865,813,484,481,442,686,250,286,797,522,073,862,084,
276,988,485,800,970,433,796,471,124,232,961,052,676,702,966,050,347,888,834,
986,469,574,446,292,146,601,964,345,477,225,706,476,551,339,978,513,811,637,
734,627,255,201,600,338,492,186,474,052,534,852,608,354,303,398,970,907,261,
129,586,871,328,117,839,745,844,871,132,388,593,259,042,398,734,695,761,123,
518,908,789,321,548,626,893,449,947,656,696,141,567,663,213,905,194,386,555,
988,931,218,579,468,352,416,660,042,061,399,483,504,820,524,935,280,529,737,
751,389,231,200,699,123,702,290,524,840,634,761,820,752,628,906,129,616,781,
532,344,133,104,893,269,148,100,485,445,052,069,693,777,070,175,441,274,160,
547,852,112,683,898,074,789,051,379,518,886,234,393,124,249,314,288,051,313,
703,222,892,834,779,789,615,603,943,325,818,787,619,197,849,354,467,625,078,
977,472,001,991,490,017,080,499,731,671,768,824,339,053,256,008,378,660,915,
485,661,089,992,034,801,993,328,043,175,440,891,429,661,714,278,711,806,761,
338,490,260,996,480,555,263,211,846,721,959,985,180,504,690,204,307,685,685,
031,050,026,169,523,849,381,032,011,513,573,400,184,670,896,693,620,482,582,
503,664,034,138,076,210,777,136,840,297,419,420,340,993,989,793,848,995,313,
971,789,587,370,739,599,547,471,443,209,736,329,123,887,081,412,822,805,815,
813,676,909,069,397,068,615,933,711,947,644,628,213,450,711,465,562,214,346,
553,885,204,342,503,963,809,120,481,105,899,268,383,481,745,070,821,277,894,
442,795,926,776,888,399,007,426,630,712,885,934,678,356,306,062,824,833,306,
957,802,585,232,179,736,196,878,080,529,669,653,315,003,046,576,271,717,670,
182,843,318,763,361,863,892,716,939,241,176,652,886,683,116,015,535,695,143,
865,466,397,393,657,048,472,895,451,568,783,057,064,195,354,260,986,551,589,
570,012,304,268,025,679,947,977,154,040,536,339,459,148,986,076,784,123,098,
655,350,836,025,706,031,257,768,195,574,426,578,268,254,214,758,930,112,452,
774,496,030,425,092,206,800,181,434,259,693,572,164,167,992,454,930,751,074,
952,481,392,537,593,007,897,650,494,865,463,789,946,191,153,678,251,709,415,
167,686,555,719,334,544,426,469,037,195,266,272,164,489,460,615,092,448,902,
447,231,615,189,274,746,407,360,230,144,322,666,067,565,053,884,597,596,417,
106,317,238,186,973,482,685,728,472,759,379,540,833,151,241,590,087,268,120,
181,073,038,739,921,919,113,835,073,588,807,763,152,037,239,961,024,721,929,
343,699,369,465,178,386,793,425,819,170,199,200,420,916,847,189,778,348,905,
115,681,419,043,794,455,452,141,532,105,858,792,064,385,051,884,432,025,605,
107,641,793,217,035,146,451,361,328,924,694,827,558,196,205,730,873,247,392,
348,920,524,820,715,925,110,275,844,222,487,998,183,876,390,597,705,801,939,
323,771,541,269,670,233,926,145,396,941,587,744,636,992,980,835,624,734,853,
169,715,777,967,473,773,474,596,504,208,601,551,395,265,947,962,717,327,431,
852,402,114,094,961,986,635,705,661,566,383,231,461,210,690,534,465,897,843,
348,231,908,006,977,540,533,615,228,563,839,573,244,421,762,489,061,490,152,
667,831,762,646,477,903,820,932,532,993,258,215,947,326,417,290,733,500,511,
747,037,072,177,759,698,360,975,891,871,904,573,165,247,872,902,717,157,096,
121,166,758,712,110,314,447,865,746,150,582,840,744,585,189,193,248,022,773,
052,579,330,028,379,674,696,999,104,864,581,515,518,772,707,931,180,676,503,
471,582,843,662,570,357,277,409,137,365,071,356,511,882,379,040,728,790,987,
070,846,105,630,980,805,358,783,517,276,404,401,231,071,375,550,100,259,178,
082,902,472,146,786,242,829,332,919,084,184,393,015,971,441,970,142,654,540,
831,358,829,823,898,072,682,591,689,985,330,231,455,247,990,819,608,408,242,
838,715,186,664,683,681,435,578,404,181,832,708,878,936,246,701,664,595,323,
563,996,738,450,012,404,629,380,436,908,818,055,985,519,622,923,762,045,194,
839,579,844,294,764,449,824,834,850,144,656,476,958,430,440,421,118,751,688,
055,430,427,149,807,833,689,028,825,368,930,369,707,091,128,578,753,047,985,
751,580,271,133,338,711,015,539,693,267,133,632,357,941,337,705,812,045,331,
198,667,030,233,407,125,636,214,909,116,550,357,211,368,232,119,588,564,754,
161,887,793,733,448,657,436,666,888,414,169,426,619,403,268,040,902,316,374,
300,602,005,531,433,339,622,801,245,218,299,004,555,284,366,385,728,800,121,
635,266,970,936,119,790,097,683,415,343,739,995,834,118,566,637,155,856,524,
624,471,714,124,951,429,767,606,931,309,711,227,998,548,277,664,041,043,346,
018,399,250,050,325,201,014,470,116,771,795,203,393,428,647,958,235,920,052,
060,446,599,447,234,688,655,813,589,340,170,253,965,451,825,420,510,090,539,
753,924,269,587,245,904,967,666,383,153,299,321,114,864,818,790,144,246,512,
149,931,420,685,252,018,214,484,916,312,825,160,996,271,983,838,219,770,171,
045,986,221,710,579,285,659,351,833,208,374,064,731,035,410,105,071,105,561,
727,292,823,383,004,553,884,360,878,902,618,281,494,894,510,554,392,420,911,
339,528,945,370,404,071,462,801,623,616,479,605,450,693,452,574,268,283,299,
274,194,823,290,025,244,045,385,315,329,038,759,720,903,213,865,450,781,751,
188,911,651,243,630,162,395,325,163,854,209,501,758,010,560,792,868,913,564,
249,037,910,842,077,028,714,529,181,070,085,595,476,777,688,767,883,729,409,
560,153,696,600,821,725,860,642,090,371,313,140,929,041,191,621,642,058,339,
254,273,973,705,109,281,803,971,056,177,863,286,742,780,114,334,583,075,005,
623,721,949,571,368,914,996,811,436,206,564,317,561,363,654,725,446,619,606,
760,221,704,431,282,382,686,908,083,437,565,080,206,265,580,448,155,924,048,
633,267,272,493,588,416,819,819,759,238,357,152,174,821,111,772,567,653,865,
359,254,355,697,767,712,773,645,446,699,533,387,057,963,533,761,758,848,637,
614,542,110,728,614,477,275,282,547,877,909,115,001,850,906,200,430,019,472,
508,629,632,058,523,154,721,414,996,650,511,130,040,705,040,552,996,689,345,
721,950,629,313,987,286,651,451,562,553,070,329,623,723,471,027,986,200,088,
474,929,420,503,425,909,115,057,103,205,658,925,385,111,328,337,441,795,927,
802,183,975,323,891,779,609,037,898,240,438,924,271,337,213,512,512,626,667,
528,406,113,022,178,344,759,156,538,038,646,828,292,916,565,355,512,721,732,
978,775,629,208,088,432,100,070,309,215,407,431,242,585,580,114,725,137,879,
525,507,682,364,327,930,636,660,157,649,016,090,693,859,508,851,803,442,362,
345,513,755,648,200,884,449,747,859,089,172,669,200,102,530,621,039,359,139,
094,862,298,649,813,567,626,495,851,439,717,554,439,963,520,155,432,440,012,
015,212,158,158,282,694,426,326,459,530,133,771,367,590,104,407,692,634,901,
348,815,580,720,519,226,067,836,714,987,809,759,182,700,224,076,963,588,881,
143,983,495,085,627,161,382,728,472,894,601,541,479,707,223,692,186,909,140,
461,191,751,925,289,862,112,244,369,107,718,855,652,554,617,807,876,109,144,
006,656,892,997,323,165,066,583,825,446,646,817,165,017,944,721,242,626,487,
612,481,786,130,891,250,670,227,837,276,194,889,369,826,464,328,953,980,398,
152,967,836,161,015,452,823,209,698,956,139,283,186,252,578,107,820,623,960,
360,388,812,539,895,298,599,370,479,513,970,807,476,810,346,010,170,424,171,
614,322,518,189,988,869,833,793,657,761,836,157,895,774,480,015,077,202,899,
704,728,706,205,554,421,595,827,660,024,623,319,997,434,749,551,221,938,258,
465,747,792,943,787,065,150,161,997,215,028,128,658,316,669,795,288,754,549,
481,346,863,425,446,916,041,033,423,786,775,142,237,256,653,603,540,078,054,
965,697,235,601,795,015,145,725,086,217,787,685,456,119,548,034,680,851,064,
181,746,036,193,958,853,047,162,397,834,509,284,056,963,145,253,611,501,042,
619,099,912,835,389,641,088,571,907,997,093,872,078,572,656,357,831,243,620,
877,352,126,549,122,807,515,252,550,541,024,146,714,212,592,068,661,971,834,
530,562,332,400,070,632,918,580,979,030,782,149,617,763,314,350,268,908,279,
953,787,456,944,666,562,219,964,949,195,935,511,313,178,007,060,546,468,254,
197,256,132,171,772,603,976,891,897,114,663,933,598,995,445,632,738,641,173,
730,629,283,602,332,865,861,651,784,417,340,282,510,388,662,613,313,126,787,
856,773,730,263,491,356,164,939,083,218,712,757,434,400,409,920,982,930,493,
808,225,544,560,663,928,237,559,645,803,980,938,229,933,075,059,296,016,161,
120,697,011,012,420,757,883,286,463,098,612,829,676,130,294,209,726,123,368,
983,486,553,482,470,077,783,812,553,140,603,631,241,492,889,233,834,706,766,
174,426,421,689,266,296,568,612,212,555,133,489,986,248,590,693,612,491,359,
356,770,900,449,850,263,253,661,963,863,638,329,600,588,190,947,506,058,633,
820,382,526,343,350,079,237,137,230,339,566,126,952,236,351,657,349,896,072,
700,051,591,886,095,975,574,874,602,361,272,019,403,076,289,216,124,486,694,
998,440,937,609,679,974,397,804,000,600,086,515,963,303,266,619,024,510,975,
790,615,643,188,764,241,339,263,611,740,168,844,247,701,509,519,505,896,508,
872,126,258,698,391,206,447,514,893,582,969,211,623,554,871,269,037,086,372,
140,701,369,367,476,128,363,385,913,531,896,304,336,083,310,322,948,037,551,
744,449,144,159,150,727,930,727,178,366,294,263,309,927,463,606,009,090,850,
198,241,690,249,950,530,673,449,588,758,056,770,027,678,712,954,843,043,460,
951,068,941,304,897,825,032,252,980,549,830,853,052,634,013,467,533,467,161,
241,384,152,556,394,516,239,489,457,905,827,060,154,696,873,061,672,656,405,
020,077,971,815,250,552,207,244,572,652,486,666,952,338,180,862,631,007,810,
911,773,900,780,274,321,788,516,590,893,113,564,457,148,762,581,573,177,154,
834,184,492,698,709,302,587,714,709,782,609,215,176,682,158,408,175,341,661,
934,316,662,147,329,815,705,035,291,992,121,735,161,194,744,162,396,216,359,
564,804,886,641,665,349,372,230,777,990,675,984,714,999,612,555,491,876,086,
450,175,231,874,806,226,965,891,511,280,191,015,416,500,655,542,741,812,232,
679,287,652,769,953,106,406,973,797,370,525,637,850,383,281,874,625,324,892,
287,328,393,564,279,332,740,480,693,382,218,732,514,602,055,243,370,438,972,
059,011,292,458,016,187,633,045,267,934,571,718,449,922,344,638,017,945,908,
713,600,979,911,456,590,290,142,027,767,030,663,253,093,480,767,385,901,943,
232,240,162,227,005,527,744,166,757,918,886,477,777,467,760,281,072,754,592,
775,082,604,296,468,487,065,541,079,360,982,882,880,039,054,810,219,351,943,
827,050,308,166,042,837,671,287,259,584,479,090,379,219,583,496,368,251,944,
147,437,175,629,969,146,530,961,455,816,903,236,407,112,340,265,852,980,068,
160,513,538,087,328,738,981,021,552,443,895,520,505,522,062,792,374,729,907,
049,521,085,273,773,830,737,500,364,978,918,827,022,648,213,099,427,888,829,
176,389,070,363,948,188,845,047,639,331,154,047,425,025,145,181,172,274,824,
044,276,380,875,208,686,865,786,095,170,880,928,280,627,020,243,409,065,178,
922,923,459,791,624,934,073,391,530,596,461,393,210,686,851,425,899,492,516,
193,604,909,121,133,430,843,302,548,723,034,199,685,147,598,209,330,641,350,
518,342,919,516,084,300,878,063,864,833,981,840,637,862,088,652,268,866,032,
751,231,529,291,473,073,173,657,638,659,025,257,584,303,118,533,855,646,245,
493,578,873,936,261,051,247,099,527,409,003,271,106,140,856,166,581,321,327,
874,411,779,645,293,004,952,844,950,361,632,579,906,800,693,622,980,183,756,
100,457,867,243,932,973,573,212,075,253,299,810,186,030,733,081,964,023,754,
247,201,464,067,939,233,719,063,399,085,475,625,861,300,044,438,711,106,771,
697,804,611,094,966,144,401,375,931,876,628,167,723,103,189,685,836,591,831,
193,165,536,791,140,710,471,074,193,272,436,383,098,753,045,227,884,042,494,
737,319,720,227,012,422,397,828,276,406,484,706,234,775,147,795,519,654,901,
029,376,870,517,723,689,930,532,092,833,100,850,718,212,540,443,713,996,851,
498,785,034,421,506,788,409,776,278,829,327,059,308,277,564,906,149,347,734,
082,525,182,859,502,097,087,836,388,793,519,877,680,947,214,115,887,240,725,
298,326,966,349,757,482,495,079,973,264,811,222,772,995,732,177,731,897,030,
697,076,931,727,953,938,006,765,706,355,285,212,055,948,981,606,822,283,952,
334,854,419,662,874,927,980,785,497,212,916,201,246,741,521,232,115,683,096,
997,940,685,443,710,066,769,193,998,331,212,498,387,368,583,151,626,406,892,
045,126,222,649,428,184,145,216,292,570,926,543,566,705,962,327,593,991,273,
476,526,709,434,841,259,060,630,175,019,822,345,306,907,147,551,245,637,567,
515,319,896,285,210,277,693,795,378,724,333,965,645,927,405,797,723,394,694,
949,715,197,664,998,152,128,835,757,725,098,053,305,516,997,571,036,008,209,
421,245,850,380,965,569,263,493,441,651,154,160,312,419,783,536,986,764,455,
208,304,818,654,864,610,001,420,180,278,587,401,904,684,872,440,371,634,401,
615,387,306,425,198,909,517,645,820,160,098,242,336,523,858,058,027,895,483,
631,342,086,097,279,933,220,695,012,737,579,856,335,994,864,666,841,283,152,
516,198,630,788,276,676,346,382,180,231,834,256,752,828,396,666,189,261,003,
634,963,116,107,300,833,045,003,691,324,779,851,861,595,237,636,511,451,459,
101,491,142,838,564,791,276,442,186,738,764,664,516,828,300,613,550,574,604,
170,105,502,394,533,188,117,081,341,625,209,129,283,670,560,428,612,599,230,
127,951,006,971,049,765,491,830,201,402,774,989,911,632,343,672,533,731,778,
589,397,412,729,676,658,242,355,442,082,400,899,672,073,232,708,067,047,500,
915,164,988,208,891,296,534,369,850,243,741,216,269,094,104,157,691,571,252,
697,698,016,641,970,899,058,940,198,127,555,480,064,356,826,670,699,949,835,
858,605,806,622,691,853,602,090,441,979,322,021,635,798,727,752,894,923,369,
520,688,226,278,400,387,062,162,219,408,508,799,994,629,869,307,444,347,541,
400,851,786,433,240,217,240,640,030,132,730,985,397,966,432,968,936,517,912,
246,539,429,101,033,575,962,582,311,384,533,986,898,014,439,678,536,499,499,
136,946,530,016,445,464,170,824,614,125,190,040,142,675,929,672,436,684,528,
448,518,096,785,582,055,326,102,975,241,953,712,545,729,427,451,355,016,702,
187,039,114,340,448,451,045,928,737,291,674,162,265,392,884,442,171,045,591,
953,133,001,092,371,070,497,187,088,904,872,422,755,474,136,934,591,591,942,
701,516,256,681,739,387,959,608,442,548,646,418,293,464,391,821,105,244,291,
036,597,092,336,898,429,450,187,576,705,199,125,802,455,372,467,150,656,331,
036,841,826,631,818,068,348,380,348,160,226,465,121,182,841,989,623,072,676,
728,378,348,047,565,907,410,216,163,928,105,573,197,624,751,621,355,561,899,
977,020,654,487,232,949,607,170,370,492,598,812,101,087,798,815,556,720,542,
112,624,972,567,556,902,998,158,758,818,395,313,920,283,129,001,351,770,211,
117,986,279,437,494,070,334,064,729,606,357,205,017,236,176,346,186,103,254,
372,164,299,762,602,631,800,389,122,046,515,042,329,212,367,270,763,868,333,
841,974,572,077,472,489,361,666,175,824,194,761,268,247,247,392,454,267,726,
685,387,199,352,644,643,162,168,477,114,801,583,552,083,943,904,783,905,311,
680,020,356,529,034,881,745,686,628,465,183,383,877,161,395,595,076,573,023,
541,478,452,188,972,387,134,911,557,555,147,391,783,590,433,679,599,924,157,
744,489,831,536,453,261,149,597,986,441,436,436,717,904,988,367,247,514,410,
076,521,206,633,514,457,412,783,649,010,952,985,931,050,604,637,664,207,199,
774,278,733,583,139,657,271,375,155,229,832,047,071,762,324,813,280,040,198,
507,940,275,819,125,737,219,685,780,386,898,578,553,648,469,588,874,666,960,
226,889,431,394,075,524,379,914,321,654,371,159,646,298,958,032,424,044,586,
602,425,927,716,710,274,538,187,749,838,550,057,705,734,910,155,826,631,170,
803,131,856,638,572,147,224,303,276,972,687,313,937,540,920,064,867,052,311,
482,119,460,827,776,483,271,639,160,932,006,670,684,974,038,732,388,758,339,
910,798,724,201,133,153,003,218,839,949,085,914,592,790,615,577,262,162,966,
218,580,368,182,687,712,790,663,704,872,578,285,008,610,801,020,394,762,808,
299,792,515,024,536,419,250,914,272,726,471,128,471,888,499,179,339,836,422,
749,902,029,377,698,427,398,907,234,618,293,859,497,028,633,410,185,776,376,
128,111,293,015,318,804,401,127,809,461,997,767,942,320,608,763,568,847,275,
542,254,613,692,673,865,820,580,099,688,591,830,204,560,819,704,778,335,158,
426,502,483,115,548,859,274,680,572,134,354,260,684,073,749,315,906,064,771,
481,888,141,116,985,413,134,318,630,796,994,738,242,881,342,965,540,592,103,
238,373,876,868,633,923,813,095,030,841,977,934,602,699,898,307,729,148,322,
743,803,151,972,990,257,719,552,240,732,187,537,969,492,136,115,390,309,684,
286,141,870,050,690,761,105,062,312,090,003,534,588,852,671,397,438,378,507,
794,517,594,237,979,764,113,178,829,092,702,935,268,931,345,523,575,682,576,
716,074,703,281,241,792,452,015,546,022,860,977,878,698,968,120,484,454,160,
915,312,779,690,943,465,960,667,773,504,001,327,080,706,189,079,272,867,328,
464,362,541,997,884,055,401,579,529,371,014,331,133,938,557,885,519,350,239,
917,237,695,870,868,225,180,807,981,793,211,491,366,801,106,492,563,164,187,
726,646,228,967,850,733,672,872,197,696,897,179,368,564,613,023,273,283,271,
130,609,098,228,079,468,873,514,699,142,923,089,951,795,342,356,877,980,392,
325,922,224,813,399,196,356,805,875,682,693,139,997,645,783,312,026,353,979,
045,199,073,355,493,547,894,376,755,267,827,097,179,472,904,720,593,182,332,
895,254,971,449,546,769,237,511,655,578,664,913,059,691,737,580,085,109,461,
308,568,954,747,121,693,873,719,323,158,868,302,622,740,148,323,243,314,428,
851,429,963,790,988,660,446,374,429,847,572,974,140,402,324,741,270,751,748,
088,901,862,471,523,785,646,136,457,276,484,181,726,029,669,167,306,529,904,
933,499,097,420,378,564,985,912,283,594,122,161,411,433,667,721,659,066,671,
485,563,601,219,118,893,425,881,017,692,343,132,812,284,274,559,141,985,308,
077,900,532,009,459,614,978,375,144,939,532,092,394,463,710,512,769,043,700,
874,489,919,508,942,153,003,899,055,906,657,888,101,825,141,983,745,655,206,
633,567,853,415,652,911,608,034,331,492,137,309,557,139,937,561,443,046,219,
113,015,906,956,672,514,885,672,081,316,214,480,573,998,820,843,387,931,709,
574,881,548,186,173,640,985,454,363,178,299,609,296,513,768,172,442,953,585,
238,128,551,038,075,941,795,781,264,022,242,467,949,026,919,281,877,487,231,
396,999,458,516,812,935,730,686,859,268,695,002,001,406,276,180,031,105,703,
173,693,245,709,722,496,813,433,782,936,065,037,796,773,380,097,506,862,396,
063,698,544,231,309,783,734,844,267,482,431,615,214,978,540,197,810,999,005,
130,918,233,238,823,961,296,094,084,204,610,234,897,761,808,422,734,414,894,
910,411,746,608,693,954,716,037,722,420,799,482,411,645,368,355,965,275,911,
754,701,248,272,074,624,757,137,550,561,503,812,757,291,149,286,940,323,835,
448,522,157,594,015,943,763,883,871,891,036,380,960,560,476,889,715,154,786,
372,178,623,561,693,583,282,195,947,740,727,598,918,926,710,068,936,533,549,
658,437,456,309,958,362,107,628,906,727,119,623,577,589,678,034,442,451,415,
416,653,003,063,140,607,646,196,310,707,359,897,840,151,633,779,170,209,740,
917,072,188,113,913,153,331,904,314,007,508,317,758,375,858,103,879,559,446,
173,069,306,164,043,824,478,050,077,572,234,031,890,999,344,608,363,502,934,
841,773,059,616,294,871,728,787,012,327,356,632,877,321,186,221,724,038,617,
074,414,656,672,943,087,401,890,201,326,692,865,361,428,490,762,673,079,936,
452,017,264,290,049,882,702,309,883,368,279,517,068,047,738,382,977,941,276,
982,907,408,054,590,896,229,306,756,331,571,481,674,985,496,132,719,507,568,
923,499,256,629,619,018,314,722,015,450,041,385,421,967,646,756,986,122,778,
457,590,899,462,289,347,743,812,151,542,317,169,590,555,373,190,602,498,871,
875,143,258,911,404,087,387,174,659,618,394,212,729,554,684,126,019,024,345,
615,793,823,903,768,030,281,115,094,277,844,518,545,573,975,292,847,252,629,
087,750,604,718,022,967,002,147,785,957,885,229,195,790,055,692,051,944,592,
576,680,300,272,940,493,560,679,755,762,352,740,969,423,399,582,295,782,924,
951,251,700,393,657,706,705,225,732,695,881,056,420,085,075,650,149,116,572,
133,085,860,693,732,288,690,045,505,559,736,917,949,404,780,460,076,332,022,
139,338,662,526,862,009,445,446,970,674,456,502,391,461,033,681,300,739,562,
585,457,023,080,610,772,791,590,095,357,108,731,207,619,722,096,777,395,887,
927,086,544,817,284,144,500,956,722,806,138,211,706,823,289,686,979,889,433,
706,045,839,717,609,277,864,388,711,415,954,405,697,694,546,670,379,352,420,
404,429,949,012,387,565,794,076,303,697,294,146,860,172,251,795,378,207,597,
945,578,970,475,431,798,859,224,982,464,941,597,882,539,306,836,964,606,611,
758,954,385,528,203,251,741,636,425,903,712,254,127,611,929,737,071,573,836,
812,701,190,352,555,855,787,431,164,251,168,483,921,502,011,600,975,489,311,
239,001,058,975,407,830,079,882,763,333,744,364,207,166,273,011,807,011,560,
411,142,617,755,172,423,249,364,179,441,876,045,861,689,955,146,729,006,965,
274,038,804,354,894,608,874,647,888,286,279,453,676,212,169,086,665,545,951,
775,670,030,601,930,667,164,354,783,884,123,524,920,742,774,886,257,249,089,
162,153,858,575,138,935,230,654,096,845,818,219,601,936,110,188,480,898,141,
822,778,099,549,280,615,800,985,358,782,359,030,790,445,412,321,877,437,691,
205,688,432,667,664,688,906,078,726,095,103,469,915,932,282,277,774,556,763,
283,341,378,433,484,132,723,139,030,748,938,264,678,580,312,193,772,490,678,
577,403,647,468,941,852,495,103,802,115,862,370,614,137,617,198,368,461,227,
033,028,156,134,900,820,257,765,606,410,107,167,524,565,203,715,268,248,206,
123,240,264,284,049,130,091,671,669,007,482,861,650,552,492,711,211,813,567,
886,478,754,453,410,569,489,995,710,875,466,445,531,536,348,732,115,222,778,
316,171,463,917,925,147,076,712,069,783,104,833,734,848,335,416,649,642,742,
190,314,420,740,913,030,238,933,614,113,292,248,789,509,877,801,046,355,832,
841,741,927,037,547,303,951,697,372,592,494,244,514,151,318,419,067,655,210,
630,599,727,972,547,207,030,232,082,909,365,333,485,917,427,011,887,143,580,
102,712,429,711,443,836,571,595,351,327,268,022,533,765,634,316,480,532,943,
659,847,257,811,812,752,712,898,848,239,422,985,083,416,025,559,116,878,404,
361,045,268,643,664,231,885,910,943,200,024,056,355,693,373,283,096,416,674,
315,179,654,088,981,669,986,998,773,680,760,170,577,837,845,891,222,403,783,
106,300,302,321,718,018,756,742,798,437,416,492,337,111,780,616,928,542,610,
097,474,848,110,616,145,809,202,521,597,565,763,414,377,741,432,526,929,638,
957,953,250,513,838,629,805,117,304,810,339,674,025,111,140,662,354,633,941,
535,898,875,523,677,778,946,039,651,930,229,665,319,738,924,361,774,767,604,
969,482,138,210,089,745,025,890,166,760,050,589,576,371,526,431,543,361,743,
389,361,692,768,176,460,641,834,447,705,965,796,824,470,869,956,011,437,087,
676,034,198,212,602,684,262,452,433,329,504,938,602,269,461,049,746,409,002,
224,227,064,038,429,081,337,238,035,362,229,489,352,697,649,058,129,845,687,
485,026,248,457,002,351,753,274,077,631,898,486,447,527,418,284,224,782,179,
610,080,140,747,837,442,084,501,667,441,307,576,636,201,648,941,202,126,378,
012,493,961,588,060,990,965,613,307,199,656,433,188,825,070,333,521,262,886,
574,035,748,487,957,419,932,177,671,652,996,786,084,541,619,128,150,560,546,
923,500,036,012,802,230,401,172,981,135,734,813,079,921,305,108,146,563,158,
321,746,647,167,982,597,756,002,869,660,367,507,950,853,355,205,524,074,326,
257,375,540,122,607,472,246,772,500,732,819,671,343,684,052,928,882,138,061,
072,700,876,565,039,604,578,944,858,855,144,977,181,613,899,612,768,508,806,
003,311,508,463,864,439,617,140,888,394,893,469,728,157,499,341,783,845,501,
052,357,391,470,345,006,371,538,811,074,048,070,059,108,229,983,078,920,667,
918,137,412,977,548,399,821,650,144,937,896,604,906,419,474,547,254,661,448,
988,283,683,542,750,863,588,842,434,700,871,338,243,453,494,702,314,657,263,
393,766,583,468,620,160,944,780,205,322,367,857,862,750,530,101,530,971,728,
437,115,420,718,256,907,375,635,260,108,409,005,578,250,228,493,297,903,160,
198,469,491,819,815,954,510,865,118,525,332,876,418,347,426,335,895,297,793,
005,886,504,771,118,576,466,290,597,547,761,239,212,297,884,081,365,430,527,
687,124,419,144,083,255,799,186,864,416,322,566,203,327,011,580,319,896,062,
895,906,339,664,107,648,366,550,702,495,186,309,729,735,175,827,396,096,950,
440,708,257,391,143,471,775,599,809,691,271,409,795,532,077,781,680,356,671,
228,713,974,527,639,064,527,091,652,088,786,730,133,806,644,238,864,650,578,
886,447,950,435,464,469,643,138,250,512,351,242,898,578,804,174,113,651,793,
224,348,772,253,379,272,980,587,235,015,955,007,496,735,179,554,681,528,641,
549,731,574,980,442,510,788,861,728,085,900,517,498,080,807,458,095,361,909,
491,802,701,899,098,419,227,413,892,860,370,482,885,269,799,831,324,490,455,
221,663,026,209,918,557,510,347,541,626,584,030,939,975,574,036,224,217,865,
004,169,507,185,791,420,666,785,228,669,312,102,546,900,738,402,972,875,852,
397,812,867,426,422,660,354,770,954,800,907,045,833,128,453,454,197,993,860,
308,852,989,237,425,084,833,142,514,687,448,773,646,883,025,742,827,381,995,
661,047,849,673,886,136,641,454,777,964,651,364,828,692,998,707,806,761,752,
996,920,768,926,830,191,208,515,891,222,024,936,668,272,318,822,805,552,477,
242,108,612,626,044,464,624,679,427,759,410,788,143,595,193,218,142,204,400,
215,335,537,063,600,962,717,704,793,417,990,158,050,950,002,346,264,801,851,
460,398,188,213,312,513,105,909,756,456,659,027,656,779,572,186,106,519,668,
375,668,023,155,610,948,022,584,436,571,498,063,011,596,355,782,479,783,429,
808,684,099,446,614,744,512,144,676,894,138,563,108,476,764,717,509,593,086,
635,615,999,872,660,582,826,378,136,194,855,766,309,296,377,310,267,764,645,
229,930,206,583,926,139,312,853,109,682,755,041,858,530,995,817,577,900,977,
295,448,445,029,195,400,945,129,155,407,362,307,870,760,897,189,709,366,513,
786,554,077,324,801,336,323,301,869,885,185,076,576,146,848,651,943,632,095,
762,465,667,714,624,691,589,631,365,601,134,079,632,942,164,974,064,636,542,
283,250,112,251,767,371,635,484,318,228,964,294,524,937,151,943,246,223,884,
430,550,470,597,142,626,009,771,374,879,670,072,081,026,730,184,260,050,997,
784,958,339,049,867,534,366,940,687,475,144,301,278,087,350,412,860,213,177,
650,909,243,257,468,832,279,712,660,375,559,673,601,831,109,509,877,954,708,
497,236,471,099,119,736,924,313,249,755,686,503,298,113,850,800,828,535,418,
815,283,084,811,118,460,650,899,729,450,465,637,836,374,061,213,518,188,055,
326,663,071,766,267,618,440,939,904,172,876,058,004,756,252,500,810,585,913,
586,805,946,157,316,463,431,304,255,563,507,745,206,093,047,503,129,507,185,
731,398,793,636,886,212,266,718,902,248,004,127,184,802,460,458,559,616,228,
228,875,234,098,099,269,249,581,938,358,298,487,414,083,683,722,738,104,675,
699,148,781,501,946,161,442,283,024,561,292,236,926,474,356,866,853,242,206,
120,628,590,771,257,249,548,274,098,167,554,592,883,131,714,153,381,587,158,
405,841,708,677,605,597,097,889,457,053,074,393,538,346,119,432,487,740,859,
849,565,733,030,001,655,151,383,162,117,803,211,082,839,750,670,285,113,499,
684,061,401,638,425,988,804,401,774,951,725,487,702,660,704,836,295,231,042,
773,227,924,822,582,861,884,085,980,507,478,767,512,520,649,658,480,627,498,
039,979,070,975,273,235,110,811,845,458,033,119,891,111,647,062,961,466,438,
760,407,428,128,520,604,152,691,685,532,299,118,696,106,721,794,827,266,999,
799,818,248,239,609,854,119,217,760,899,577,110,716,263,865,073,665,899,586,
765,886,812,833,574,415,927,449,564,899,951,134,301,362,756,115,647,083,349,
746,714,157,758,676,495,812,293,068,582,383,732,659,211,750,307,693,846,528,
834,071,246,035,329,602,914,260,138,961,233,273,207,353,198,301,291,730,225,
488,192,454,864,010,628,569,661,786,855,560,898,520,653,658,294,969,642,751,
852,770,662,037,334,586,794,471,585,865,504,625,551,255,874,751,597,752,911,
420,613,761,128,151,333,089,181,562,103,762,212,408,994,325,128,406,110,767,
386,539,579,681,766,881,452,923,657,736,959,617,195,622,471,120,248,913,073,
818,644,846,116,399,211,574,681,445,250,396,782,514,071,509,150,933,592,111,
465,511,627,191,316,173,564,209,239,789,718,851,802,574,693,079,219,873,978,
437,166,669,188,869,397,155,093,307,448,318,975,326,943,846,629,877,923,637,
076,383,853,537,968,291,097,851,370,849,675,570,030,688,012,677,858,381,277,
689,939,318,845,225,378,505,419,164,542,510,331,352,961,249,254,890,160,603,
674,735,902,519,081,373,434,056,137,437,471,589,195,211,507,375,976,819,853,
703,704,675,493,138,921,617,342,097,326,238,717,585,202,898,528,459,926,150,
293,980,643,982,967,951,586,199,338,243,821,051,192,152,946,070,844,121,439,
264,706,196,061,508,673,362,004,935,974,882,060,765,514,008,020,118,535,488,
480,610,179,941,863,576,366,186,109,466,075,113,724,604,521,046,839,348,776,
058,691,179,418,658,073,897,768,919,738,128,957,354,518,192,039,071,089,731,
689,430,128,229,557,460,923,660,167,254,671,227,804,101,831,624,048,672,911,
537,617,004,847,252,938,930,624,609,723,736,004,665,896,404,942,136,384,162,
160,514,679,318,940,581,444,929,515,617,794,481,616,249,458,954,314,487,649,
710,762,965,425,254,803,567,957,390,048,715,144,324,084,055,419,355,967,349,
084,963,063,964,112,100,892,309,685,547,298,645,601,436,580,613,481,805,531,
796,957,420,230,197,894,969,997,542,362,624,033,474,231,843,930,380,979,528,
584,544,741,974,735,800,377,843,013,234,166,319,403,713,241,708,212,828,492,
488,892,319,658,185,468,536,742,655,034,042,981,811,153,907,524,332,910,451,
645,944,504,051,413,581,715,395,221,054,771,970,889,423,606,899,470,389,952,
283,323,815,951,454,882,289,351,048,310,288,854,328,083,807,543,538,135,162,
091,061,562,541,638,748,656,816,944,026,376,400,657,593,457,779,032,804,939,
789,177,430,885,813,163,364,970,183,055,929,061,470,699,159,684,723,539,796,
445,818,591,204,882,219,172,296,686,635,540,962,463,209,838,222,724,980,887,
373,091,142,653,728,889,122,226,647,097,033,127,273,925,094,454,582,723,503,
218,428,449,783,942,122,798,685,186,400,065,511,612,816,167,237,914,454,666,
190,158,699,317,724,984,086,252,744,220,086,833,778,349,173,906,489,968,387,
486,557,696,007,611,900,435,460,171,672,645,473,591,092,491,967,778,262,742,
424,628,472,377,074,389,059,333,540,009,462,478,869,374,582,393,015,335,408,
410,484,204,217,350,603,710,602,520,676,508,053,595,687,058,822,680,114,064,
137,866,199,863,646,419,840,455,114,975,091,954,870,046,597,371,682,948,795,
719,741,076,970,930,961,039,239,328,537,306,592,372,438,912,070,528,825,580,
092,993,350,250,238,071,812,705,901,864,794,465,262,942,175,048,466,000,026,
776,860,856,038,725,299,556,338,108,859,272,314,663,780,624,965,080,593,888,
550,963,348,637,156,230,589,810,148,923,782,888,353,697,450,532,949,727,690,
039,969,014,040,635,450,060,956,205,760,663,437,455,964,357,531,797,661,639,
880,484,745,808,223,398,128,330,127,746,762,590,298,546,458,267,011,068,221,
683,202,425,163,325,083,286,863,270,325,530,015,125,208,705,651,152,623,160,
875,628,554,613,134,175,245,172,324,347,453,989,957,952,117,997,164,668,933,
271,649,047,769,281,989,092,778,522,822,432,322,847,780,425,168,614,002,248,
890,357,570,215,824,540,183,887,227,477,286,812,850,282,679,924,687,356,194,
053,604,708,502,202,954,544,506,137,809,581,097,038,654,534,376,972,432,757,
884,669,210,151,132,517,081,031,604,153,742,012,207,529,132,318,653,120,791,
180,205,870,450,205,473,787,310,015,514,071,688,422,518,457,590,349,215,350,
637,891,390,982,171,188,416,954,176,073,877,914,263,401,987,881,266,347,919,
113,424,157,670,461,382,305,272,118,262,861,591,178,478,179,380,860,590,965,
603,427,277,720,289,346,311,418,232,743,806,912,942,552,580,972,904,628,972,
329,781,181,194,286,644,458,452,466,708,339,412,120,658,341,745,636,816,880,
510,384,130,740,690,895,949,935,301,816,154,552,206,739,613,079,100,208,395,
244,053,524,095,617,175,481,735,331,180,815,085,747,607,913,930,778,005,263,
269,424,166,083,867,539,059,174,628,716,797,335,453,998,019,216,350,334,909,
876,738,693,790,248,356,065,903,131,829,880,128,735,559,315,863,294,757,297,
919,066,631,127,469,895,313,160,452,238,015,218,018,906,079,213,380,380,190,
469,284,394,599,918,269,160,560,777,666,757,704,804,824,596,163,798,259,994,
247,394,545,371,345,807,345,044,081,556,305,615,977,093,811,756,925,750,003,
321,395,567,717,640,607,057,368,412,809,567,266,651,073,144,344,259,914,828,
860,005,012,388,640,406,228,549,932,084,026,154,882,896,860,730,718,258,192,
553,447,573,924,321,529,932,505,461,514,677,522,823,577,744,016,025,709,163,
783,337,382,982,673,949,117,895,806,841,917,214,983,863,806,620,537,302,805,
351,286,649,132,912,451,502,291,781,238,392,443,101,455,328,296,061,851,490,
293,750,342,134,854,314,559,075,699,983,782,455,611,782,450,793,033,870,783,
156,308,224,497,417,316,473,237,468,971,721,158,174,563,115,671,647,149,680,
555,358,897,901,963,295,674,063,176,617,887,513,589,214,116,436,993,961,559,
535,884,939,939,711,446,117,817,429,992,831,124,704,991,626,956,201,119,622,
377,802,872,193,349,149,328,484,942,834,283,933,203,208,068,532,253,628,820,
860,638,491,009,562,053,926,388,552,521,646,756,010,837,270,307,435,836,703,
295,867,885,859,530,013,183,404,827,711,183,215,765,314,608,929,107,027,690,
635,186,776,610,751,131,984,851,855,797,488,752,744,490,696,735,033,720,868,
145,188,106,255,036,755,184,170,826,030,770,274,753,912,286,210,122,288,257,
050,623,483,724,418,131,484,867,102,739,674,217,067,484,933,179,056,677,193,
452,515,928,619,825,089,231,235,246,542,003,267,036,039,996,678,826,116,200,
231,524,248,093,317,762,963,350,269,686,671,169,002,019,579,338,007,916,886,
083,467,876,760,291,304,583,741,392,696,476,152,241,257,849,973,188,506,554,
826,233,903,166,237,543,733,873,608,598,641,853,202,720,052,583,825,655,425,
594,818,045,214,402,061,776,453,923,729,009,443,486,269,450,962,600,716,177,
775,107,848,475,221,786,396,116,107,210,700,931,829,150,025,466,970,313,797,
857,524,176,013,499,942,393,409,269,647,687,295,768,723,575,481,955,194,422,
582,979,425,263,525,268,166,857,218,729,068,199,073,604,690,515,421,215,676,
898,171,923,636,263,309,815,003,290,971,823,620,496,017,709,915,711,185,434,
659,788,283,462,006,167,250,220,595,307,823,130,648,950,606,611,729,406,802,
493,168,538,900,256,085,913,272,216,195,854,579,294,120,815,544,112,421,760,
186,572,222,038,094,188,422,268,995,606,299,812,372,977,493,351,336,985,819,
066,275,209,769,407,754,615,260,457,341,425,786,834,766,570,408,226,738,171,
407,518,152,419,793,589,628,590,169,540,225,943,813,947,426,537,782,821,791,
911,680,744,564,299,479,662,928,889,784,815,179,120,024,459,523,823,471,055,
845,250,437,657,373,158,874,962,425,992,078,680,041,848,769,146,779,396,524,
090,984,858,925,466,269,796,331,583,952,535,791,151,834,553,664,511,356,385,
608,736,345,977,577,370,416,149,551,715,300,476,136,069,640,442,846,436,729,
802,993,129,268,333,397,722,101,623,383,769,036,899,847,304,743,038,786,944,
296,003,114,343,345,065,714,045,450,006,090,257,578,543,460,023,364,472,001,
943,889,090,812,846,829,450,904,882,061,505,894,664,709,984,102,793,776,141,
420,053,217,106,072,961,130,404,323,610,802,721,779,743,861,612,792,189,442,
403,242,637,743,000,637,851,230,078,511,645,731,679,960,086,153,453,144,644,
041,296,411,430,880,549,446,839,478,234,037,853,093,912,239,150,478,701,800,
610,968,983,943,561,405,420,557,708,346,941,132,745,073,247,517,699,420,000,
800,111,703,092,028,373,073,325,853,933,129,718,059,910,898,280,560,988,165,
562,736,855,241,927,062,298,817,905,968,631,006,470,403,587,286,873,836,359,
751,365,438,440,597,688,653,882,642,476,375,486,351,670,700,060,003,795,012,
715,777,975,605,264,576,215,930,552,719,692,269,568,456,822,572,278,449,656,
807,480,114,743,582,036,436,211,958,189,498,969,048,378,919,803,297,175,589,
859,146,401,443,181,157,133,908,544,197,517,005,234,437,441,717,754,491,937,
127,733,296,099,326,889,320,879,745,123,777,668,180,327,413,232,331,263,915,
986,942,136,767,223,766,006,895,782,855,815,825,242,842,689,946,815,384,011,
475,823,680,141,979,753,065,947,450,690,086,194,564,436,383,726,032,090,855,
749,540,398,958,197,252,335,630,322,503,264,480,015,237,934,980,142,146,101,
386,710,289,772,832,464,240,138,505,036,304,492,584,689,420,690,185,164,760,
446,366,631,045,023,930,727,137,481,935,640,823,017,912,131,364,668,597,605,
431,717,109,366,048,391,130,928,378,946,119,441,402,224,845,831,834,211,798,
160,662,490,186,206,894,726,053,994,400,273,223,821,143,093,106,358,445,748,
856,751,166,553,619,060,493,367,286,287,145,790,436,727,058,945,222,024,351,
241,726,536,697,883,007,666,283,138,316,879,010,539,792,331,358,806,722,677,
650,231,015,759,810,596,312,122,648,805,875,532,785,447,204,522,812,727,474,
907,400,075,894,714,096,859,313,848,619,885,826,552,601,430,644,671,115,986,
272,149,311,679,415,467,414,820,149,635,562,488,719,785,555,734,460,968,875,
536,656,716,612,217,635,155,571,269,755,641,117,218,740,617,113,183,488,585,
165,967,283,649,120,885,662,706,219,532,521,197,700,258,836,813,664,810,299,
969,436,823,392,049,064,560,277,273,101,633,526,294,423,145,194,956,671,373,
963,957,948,611,019,824,228,493,729,098,940,872,561,257,150,709,346,640,493,
593,656,371,571,652,785,057,395,091,705,601,777,603,422,084,160,337,301,579,
810,791,439,339,036,860,461,119,894,457,210,537,352,014,267,372,421,501,359,
399,253,801,457,334,557,809,608,797,035,367,335,902,121,449,347,208,768,299,
595,628,545,123,038,173,689,070,318,855,131,268,479,630,247,700,177,293,442,
015,315,207,991,711,087,925,191,248,327,136,484,716,979,794,238,754,342,726,
509,429,423,025,394,691,583,012,129,717,273,306,206,138,360,663,773,627,523,
236,345,061,568,194,417,459,595,544,256,434,792,189,702,651,443,099,087,203,
949,945,386,249,260,029,082,275,662,846,749,823,773,923,579,574,846,951,545,
312,465,028,244,956,246,857,045,684,187,868,263,666,534,509,456,956,922,819,
249,760,391,225,984,740,051,740,362,905,692,503,547,409,039,956,618,132,396,
330,577,647,073,017,044,859,368,716,736,607,858,506,568,010,743,139,665,037,
465,337,384,919,904,345,749,445,978,845,152,197,670,713,222,517,151,724,116,
426,912,888,812,678,853,489,532,909,492,593,390,664,808,644,302,693,407,819,
818,012,295,635,832,338,466,717,468,466,361,687,978,591,035,575,398,209,385,
499,702,489,878,754,991,003,695,007,648,001,853,688,350,921,071,879,592,485,
954,383,660,376,640,705,865,840,591,417,643,543,146,696,977,715,172,067,430,
631,730,085,446,128,792,291,872,424,746,671,904,399,347,241,801,837,260,273,
075,199,233,204,356,039,482,542,625,526,757,674,719,624,399,360,323,174,172,
502,301,647,257,835,370,182,920,388,849,649,467,025,664,320,364,539,712,088,
654,413,740,108,606,561,437,630,765,448,250,197,848,161,014,691,350,011,565,
919,871,228,489,689,484,456,186,688,956,106,729,041,446,196,359,184,848,554,
037,219,337,303,176,656,172,543,249,203,830,930,753,327,029,915,894,148,026,
594,154,344,446,505,493,468,150,171,182,179,886,757,370,904,419,389,171,338,
672,223,178,475,155,538,343,293,171,785,686,454,999,138,159,298,730,243,257,
973,338,408,803,777,891,985,921,798,804,702,944,717,402,223,440,630,450,187,
188,479,835,426,856,404,928,745,263,357,013,183,586,483,557,101,422,123,711,
908,251,818,866,715,361,253,230,845,598,526,777,845,314,085,655,443,434,048,
270,541,954,865,457,060,454,456,503,346,867,253,362,336,452,202,040,847,717,
176,763,924,564,001,359,947,428,998,451,530,848,582,370,979,962,223,751,688,
689,434,736,283,206,917,349,406,508,125,287,833,128,626,329,002,100,493,085,
678,555,140,282,646,718,632,593,803,776,013,475,997,496,973,333,603,741,784,
479,075,214,167,594,851,190,702,098,301,486,045,401,634,367,587,037,208,857,
733,198,712,348,045,896,788,356,510,249,711,770,322,882,482,861,318,701,981,
899,513,376,473,397,369,724,046,507,578,228,964,711,651,775,778,536,594,096,
549,087,188,559,496,998,787,221,675,980,790,648,118,275,143,860,507,999,950,
332,501,953,925,196,691,355,496,657,462,205,486,443,470,125,397,118,068,230,
224,985,995,357,936,943,385,436,988,003,165,077,495,743,136,366,206,128,956,
220,452,080,977,688,722,276,796,509,682,995,017,767,993,692,000,235,445,613,
304,565,882,618,021,354,562,620,292,621,108,860,675,037,086,129,064,278,850,
501,443,404,119,227,871,722,095,785,498,099,458,738,278,161,587,467,042,167,
463,089,316,461,718,595,202,804,684,410,212,652,349,512,855,262,782,066,438,
392,366,873,174,058,524,396,342,416,372,683,685,893,170,952,524,966,087,732,
537,860,473,569,458,929,316,846,816,214,274,011,363,485,851,840,459,527,607,
801,454,870,960,434,478,661,333,080,210,468,737,031,146,831,012,050,445,994,
404,596,140,321,947,593,104,118,937,460,093,624,454,772,018,666,450,995,870,
885,588,014,298,303,041,166,265,311,688,789,080,695,915,147,715,888,273,393,
148,093,616,862,724,851,502,570,186,623,465,122,495,529,413,926,011,252,672,
968,969,339,692,235,046,147,792,012,132,660,722,308,068,072,674,051,336,143,
408,208,886,122,249,276,352,393,040,039,549,936,119,583,816,672,375,706,245,
559,725,411,578,979,436,404,291,443,085,591,053,344,725,761,240,890,923,273,
853,997,600,077,158,638,342,348,920,257,843,512,213,345,975,807,372,004,120,
263,834,373,920,396,519,560,578,162,480,669,141,035,572,730,939,005,352,894,
727,606,727,686,316,706,532,687,923,352,664,817,897,055,992,666,008,159,015,
009,060,574,522,990,719,148,506,965,642,383,163,196,018,771,189,832,626,855,
430,238,610,571,718,818,886,132,546,971,224,301,485,996,875,847,647,764,876,
968,989,348,216,054,403,946,686,419,580,871,649,087,074,226,434,876,342,697,
606,333,005,040,370,651,230,608,477,571,088,944,918,394,382,837,914,036,699,
346,744,961,615,609,297,281,598,927,739,303,247,410,540,220,870,337,727,827,
526,233,069,943,701,567,328,382,200,323,502,500,474,633,642,924,842,591,330,
079,626,982,987,812,717,301,120,136,861,273,865,632,372,542,112,806,682,343,
577,727,216,467,440,397,536,023,132,156,682,495,090,184,037,190,840,768,718,
374,573,628,593,909,639,928,680,857,873,201,967,993,030,586,040,713,692,728,
272,070,753,827,295,668,777,791,320,426,225,548,498,647,591,221,985,335,501,
948,951,681,658,719,981,907,871,262,997,461,373,536,774,896,730,477,142,725,
998,465,734,187,757,790,405,050,581,645,145,720,414,064,253,524,681,868,727,
395,345,603,538,555,652,157,879,375,826,313,519,109,526,577,756,561,065,216,
029,332,886,655,745,532,849,923,435,243,508,742,933,164,779,161,132,348,337,
398,107,382,818,318,765,164,638,143,009,574,998,162,781,705,498,422,926,534,
221,768,903,735,550,999,108,582,280,320,455,752,924,116,047,526,747,395,317,
971,904,245,112,953,532,877,397,787,146,679,140,415,113,332,982,373,134,297,
699,858,968,359,507,401,032,856,408,729,993,554,675,788,779,762,628,097,641,
269,009,225,982,590,090,869,398,555,943,132,578,687,955,142,693,415,690,780,
079,725,953,480,298,888,948,056,434,017,947,703,939,305,581,262,458,420,680,
100,914,737,036,134,210,857,105,625,006,944,321,438,435,670,369,783,830,253,
284,892,578,746,791,585,373,338,180,228,837,051,538,584,837,336,714,136,326,
332,607,856,117,606,802,610,015,732,611,666,856,222,909,006,287,774,228,556,
512,572,882,386,439,600,455,958,781,878,144,056,068,583,405,648,780,628,055,
020,517,897,831,561,347,167,523,085,238,080,210,878,300,498,573,357,721,626,
261,055,728,544,688,082,263,883,950,131,960,175,269,970,612,544,440,127,650,
882,935,890,774,828,615,897,707,800,448,665,997,707,313,320,898,386,173,428,
475,599,459,582,239,976,638,675,723,903,852,116,090,704,423,085,119,259,134,
564,268,241,795,350,601,170,563,006,613,700,812,421,382,278,980,786,009,786,
295,830,372,725,258,553,158,855,986,584,656,132,560,476,706,869,955,350,857,
376,205,523,671,703,421,321,955,747,108,045,878,804,042,801,890,713,036,383,
133,048,576,201,358,127,633,133,917,782,755,705,568,133,155,294,875,023,637,
741,106,656,803,282,798,332,699,529,638,898,988,629,623,689,885,438,517,282,
030,886,809,009,967,543,123,069,810,460,891,914,553,284,276,902,481,286,873,
907,303,567,754,672,079,605,625,033,477,398,833,663,743,257,380,456,554,872,
560,639,670,211,926,532,616,222,739,283,691,289,514,186,659,594,982,499,327,
787,478,980,489,103,985,915,286,795,839,126,783,826,310,481,609,905,312,954,
861,791,406,100,227,084,232,595,425,022,080,850,536,788,252,011,575,701,541,
679,399,904,697,753,745,267,023,580,354,413,764,701,709,733,159,652,392,615,
848,658,867,663,319,561,330,390,508,028,312,848,128,163,738,871,284,360,917,
139,120,578,583,245,126,760,258,846,019,236,927,176,618,500,495,157,571,012,
803,331,248,083,145,170,614,471,856,875,526,985,135,199,780,824,451,268,388,
957,942,783,749,539,174,575,963,410,745,821,171,387,190,585,214,112,347,769,
803,224,216,484,316,620,930,540,470,769,274,092,689,434,610,256,564,403,850,
909,378,309,560,641,924,973,536,056,003,745,847,911,654,891,838,439,742,162,
541,481,882,179,654,542,357,363,872,171,021,287,139,440,415,990,493,322,960,
424,526,659,362,774,220,000,809,293,551,181,606,103,355,917,864,228,119,858,
621,563,349,368,436,554,498,476,008,014,504,653,648,770,979,008,845,625,659,
514,776,289,113,509,120,082,317,410,604,034,220,775,081,351,729,182,397,642,
548,442,977,078,500,262,479,531,536,038,493,725,339,602,176,551,984,241,524,
083,329,354,548,495,542,390,884,189,710,208,586,211,766,948,486,255,675,065,
519,493,704,330,130,001,577,636,918,219,291,907,440,329,928,626,901,148,699,
013,088,354,013,864,751,311,079,388,172,722,114,691,347,949,145,587,038,795,
623,579,537,417,965,668,217,214,342,176,518,523,576,978,418,503,864,906,551,
582,660,162,475,489,698,103,733,789,011,883,592,137,539,661,994,391,691,590,
156,784,056,040,449,905,216,580,031,829,122,458,869,999,922,946,103,739,805,
080,659,380,338,992,931,423,022,032,905,836,520,816,735,794,556,644,843,235,
554,028,150,713,448,484,988,355,899,630,200,511,698,525,433,856,054,958,364,
769,748,829,105,682,669,791,613,147,256,289,719,723,953,089,817,219,368,536,
508,818,187,187,867,616,308,204,416,770,447,722,618,351,899,121,184,673,520,
721,270,440,052,233,004,686,326,290,757,609,709,629,079,517,305,672,514,294,
042,257,922,217,607,611,431,926,835,785,488,916,302,082,568,033,243,920,034,
335,324,339,429,771,334,616,142,880,515,109,496,714,213,111,684,096,865,742,
275,469,632,572,189,390,574,013,982,816,496,726,781,674,139,324,549,771,701,
826,232,600,169,242,297,325,996,431,028,365,756,904,021,111,343,642,260,445,
136,812,255,383,923,850,403,413,474,811,790,194,795,694,827,130,313,109,291,
523,448,325,669,969,430,705,374,591,628,373,267,222,946,728,628,301,349,751,
654,666,169,582,957,839,070,804,934,768,955,691,500,026,475,401,138,403,965,
073,579,444,300,905,613,170,336,892,379,346,208,549,874,767,365,646,317,423,
458,595,641,640,777,142,817,572,113,429,397,670,515,726,026,663,685,594,064,
994,259,532,222,650,615,306,590,950,682,792,590,779,814,446,778,782,332,544,
627,547,130,514,704,924,388,584,807,030,458,388,390,764,002,086,921,185,892,
998,477,219,514,968,213,426,084,752,678,478,467,271,421,305,622,086,242,584,
937,927,964,962,141,327,267,684,294,707,211,210,207,268,050,878,821,979,737,
870,830,891,457,218,650,298,298,592,705,521,104,732,521,142,755,878,273,307,
995,755,875,088,614,209,338,860,473,369,704,566,750,419,878,399,898,276,653,
842,670,622,264,268,343,748,146,212,419,909,955,059,693,349,219,051,266,959,
842,122,353,790,843,876,687,407,817,460,472,806,819,339,109,973,988,733,785,
234,359,081,287,582,195,246,074,875,992,788,442,028,118,758,915,208,320,391,
500,488,467,327,467,623,819,819,346,706,667,192,278,246,037,804,361,020,406,
739,684,949,913,606,342,815,022,700,373,338,855,521,902,500,134,818,369,373,
891,291,455,820,620,116,243,228,167,951,665,032,876,142,719,231,349,328,070,
274,310,677,400,897,656,504,944,929,243,185,183,659,492,165,225,519,804,842,
663,919,103,105,654,141,805,506,363,104,497,883,455,532,036,724,393,697,956,
279,798,576,010,167,440,565,172,052,578,590,662,195,852,567,737,575,269,273,
952,329,476,728,136,169,351,833,311,306,279,878,131,450,936,872,879,290,457,
873,093,949,059,813,139,347,213,929,063,814,515,954,795,824,412,159,217,202,
279,839,386,281,891,426,369,570,579,208,331,078,913,583,458,231,510,004,480,
610,470,164,333,693,537,119,701,570,062,552,465,860,561,070,252,721,638,578,
392,831,677,524,351,502,301,104,689,948,823,396,278,921,562,926,037,947,745,
225,045,111,519,398,211,938,625,579,494,908,746,398,455,654,298,975,154,243,
182,145,602,162,566,981,305,996,685,390,067,076,319,688,926,491,437,512,125,
081,361,999,592,428,782,906,499,069,407,515,291,174,415,883,120,496,298,998,
919,903,215,216,466,961,199,993,026,252,247,780,549,532,580,147,874,588,941,
802,188,665,461,731,485,458,836,302,662,482,811,406,636,261,402,082,555,212,
182,561,906,840,580,852,218,258,606,115,513,406,069,950,682,634,948,228,258,
972,301,092,368,783,697,706,734,779,271,821,717,112,012,226,493,680,338,126,
113,167,492,390,521,843,120,232,326,569,180,533,755,685,592,336,006,181,355,
810,889,611,925,118,891,706,960,648,033,475,274,510,736,150,336,534,215,061,
353,523,668,012,785,036,571,877,589,310,856,165,931,401,153,053,453,875,991,
511,589,022,295,173,854,768,017,257,600,429,199,212,027,905,058,188,663,870,
912,479,061,115,806,779,107,898,073,166,036,673,935,449,812,131,536,492,529,
305,519,271,697,505,575,469,270,691,870,057,468,688,326,837,070,872,884,753,
867,893,214,748,816,087,373,727,072,895,537,990,310,485,706,519,472,928,781,
191,687,347,216,485,161,743,246,436,440,697,563,496,856,229,707,912,763,722,
186,678,340,356,744,713,733,288,575,372,403,622,385,067,247,065,536,611,126,
262,227,877,070,650,951,916,651,856,220,079,803,313,321,863,233,763,099,945,
505,686,201,343,061,967,270,841,716,250,173,690,175,826,514,379,713,572,899,
537,787,589,320,891,418,493,011,300,436,770,521,273,402,650,735,074,576,382,
528,007,172,798,144,150,664,586,080,933,453,331,099,909,624,206,492,785,163,
086,258,074,480,867,559,460,301,678,010,832,045,532,290,073,460,616,155,122,
722,460,200,224,962,395,499,279,718,151,957,025,885,718,978,325,614,319,484,
519,033,682,207,306,593,157,101,074,775,181,292,485,730,218,496,397,261,851,
643,317,868,140,483,394,207,932,441,660,363,175,613,003,071,303,647,388,216,
573,546,225,873,073,559,165,424,059,800,216,037,368,329,480,359,970,188,564,
249,262,939,003,385,257,464,846,157,958,507,945,523,465,106,674,168,635,120,
418,233,485,434,953,103,198,544,225,375,376,821,917,068,214,871,222,400,154,
309,675,522,584,282,527,658,806,802,135,136,142,739,629,539,874,844,571,730,
467,463,463,045,029,062,184,379,024,854,463,142,391,386,436,391,272,496,133,
974,198,071,480,521,365,574,310,326,505,690,381,473,786,553,727,137,403,285,
539,593,946,677,530,160,681,031,425,909,770,025,740,528,772,893,228,005,260,
254,963,949,475,768,313,841,014,797,271,696,181,478,486,445,077,685,035,650,
640,598,019,408,405,411,097,053,913,159,338,960,806,451,347,021,930,071,218,
748,756,770,397,449,899,936,624,480,617,117,841,966,992,850,139,470,060,723,
089,747,058,580,149,811,970,341,325,929,643,090,024,476,425,808,119,382,729,
448,936,333,872,719,302,778,012,171,455,145,628,466,662,304,433,600,493,603,
465,451,530,525,856,045,190,580,774,347,382,559,253,715,003,238,835,756,976,
209,986,594,122,710,517,892,713,079,655,096,979,626,706,889,812,872,245,894,
817,290,163,497,721,374,943,499,079,698,466,395,936,576,202,203,982,800,370,
842,184,913,757,157,490,010,868,287,946,441,503,341,690,813,957,899,533,258,
817,215,176,937,376,181,863,336,937,569,070,509,570,189,371,230,348,283,103,
502,367,677,126,995,863,196,141,298,968,305,286,904,616,608,086,025,923,669,
519,118,114,187,279,991,101,525,659,630,156,906,930,756,919,984,070,987,463,
950,953,939,091,765,639,725,184,929,234,689,409,986,611,936,885,152,018,547,
481,401,854,854,736,023,975,619,097,146,627,984,204,790,129,721,060,281,147,
378,641,679,288,926,223,030,767,444,038,846,016,867,663,350,446,573,922,320,
102,575,714,464,067,513,719,039,094,982,561,015,425,193,159,931,777,755,441,
693,713,510,487,742,837,202,171,775,434,289,212,979,276,901,081,826,593,716,
838,294,763,255,820,626,715,990,280,966,715,839,830,083,562,437,680,324,550,
115,476,833,970,057,431,905,442,910,541,716,443,849,188,450,820,734,542,401,
997,467,328,957,720,860,374,144,151,627,948,670,538,987,352,736,481,138,630,
994,549,570,973,162,411,109,281,110,277,698,244,748,056,239,756,196,539,182,
203,017,163,804,830,587,362,969,451,529,884,950,379,324,153,098,939,653,182,
668,849,508,170,896,217,548,135,732,378,956,730,511,741,519,354,412,011,065,
021,006,136,201,290,725,628,825,474,095,458,181,336,280,249,689,702,385,461,
619,368,282,781,330,748,398,290,542,172,738,477,829,786,684,051,322,911,832,
086,035,984,331,887,722,403,720,598,117,502,382,533,725,320,246,817,909,478,
095,773,146,151,740,251,306,819,476,681,417,941,754,275,155,055,954,211,426,
891,048,989,872,757,614,815,586,498,859,446,313,604,493,770,229,873,631,914,
832,545,883,791,768,104,417,232,254,483,886,103,790,170,429,630,710,696,240,
125,071,342,061,672,506,834,246,990,379,240,624,808,034,839,318,899,258,653,
197,104,942,458,513,116,556,913,816,538,902,409,350,226,868,400,865,226,463,
286,788,647,874,389,233,894,051,075,373,257,170,664,462,611,303,167,164,039,
018,455,277,075,440,524,550,233,973,179,238,136,425,517,734,285,020,550,689,
027,851,555,434,076,022,787,236,851,985,828,738,536,781,432,803,894,216,032,
858,216,375,709,471,120,453,075,008,616,754,546,309,586,535,218,330,542,789,
572,227,612,915,607,021,668,743,359,510,042,868,414,811,434,448,312,912,945,
430,075,076,611,731,989,951,890,721,822,951,276,010,354,787,993,564,932,654,
714,382,218,174,070,181,062,023,473,656,367,393,693,049,881,129,232,150,187,
570,006,411,480,308,664,542,194,598,625,310,633,487,989,194,545,525,007,482,
818,845,898,028,516,030,474,406,512,967,745,954,595,372,545,345,743,217,079,
238,698,193,217,774,198,712,918,748,130,460,115,298,886,088,818,777,708,072,
276,056,415,778,065,518,831,237,346,868,805,275,766,504,126,528,485,099,216,
018,987,961,897,469,270,022,672,171,031,135,643,432,489,554,896,765,065,286,
152,598,814,192,796,089,823,182,165,504,782,004,655,337,881,662,116,841,947,
449,230,733,925,048,592,601,051,669,943,051,181,256,268,472,039,159,473,269,
074,712,262,076,312,444,129,643,188,214,012,207,758,898,637,270,184,953,535,
150,471,825,554,851,355,591,320,054,273,388,851,550,275,764,072,244,605,693,
343,220,895,327,313,357,706,919,049,167,777,795,840,369,318,900,389,787,648,
846,511,972,778,215,126,762,365,017,826,462,222,407,567,888,041,064,347,182,
789,731,435,756,191,571,085,376,208,697,872,051,873,012,174,041,505,566,046,
126,686,865,612,006,476,753,318,216,231,164,729,275,202,859,733,324,650,609,
974,099,585,850,925,663,903,387,603,434,190,527,499,663,373,752,857,482,546,
424,344,127,851,285,592,712,501,377,135,268,565,355,506,579,938,772,955,776,
309,218,921,046,888,932,664,189,736,488,648,024,419,855,223,367,310,008,824,
154,281,732,429,113,901,505,521,492,580,981,360,638,645,296,651,949,490,975,
701,630,344,783,787,689,472,207,567,136,422,990,394,122,488,029,885,248,174,
963,819,979,810,992,257,298,242,119,828,691,143,244,074,095,782,730,092,633,
393,052,183,056,816,322,082,620,701,449,308,724,670,151,802,666,686,942,210,
502,824,765,705,812,849,433,503,454,225,053,917,722,840,104,422,505,854,101,
420,835,181,457,242,124,701,452,154,739,641,117,276,697,534,155,749,023,384,
666,288,060,441,451,696,773,801,570,236,045,643,319,429,744,297,096,624,868,
681,735,739,000,695,965,250,658,122,700,961,565,528,310,203,287,221,421,309,
621,243,706,839,745,878,717,930,328,121,149,458,536,195,258,972,397,006,806,
946,803,022,144,638,904,145,309,744,839,812,478,473,614,507,965,891,842,122,
227,923,646,722,730,685,458,542,306,854,807,501,043,033,433,577,358,453,183,
896,937,672,701,591,732,809,272,762,885,469,973,187,864,720,442,896,422,955,
246,944,162,228,793,464,107,294,825,989,073,073,365,523,035,304,517,470,678,
890,736,836,733,893,404,174,284,274,844,470,234,700,061,215,403,914,072,787,
106,946,414,048,774,975,087,093,003,760,833,125,568,570,099,922,303,658,834,
052,564,155,925,648,114,355,157,469,019,115,737,305,689,007,156,370,844,182,
751,129,277,821,699,403,566,202,213,260,194,613,522,172,066,453,863,409,164,
953,865,024,181,854,048,344,470,109,093,739,746,781,233,798,451,050,496,764,
456,712,174,405,509,730,917,039,872,460,653,880,519,179,380,112,319,417,535,
094,911,276,893,351,232,334,773,271,291,326,090,407,103,527,515,596,996,842,
302,427,744,284,050,964,651,494,550,445,605,929,961,617,303,101,306,182,091,
869,507,783,066,955,292,501,744,224,021,341,357,604,764,432,884,692,656,094,
852,538,503,597,256,921,832,675,112,355,585,696,794,790,954,911,269,542,035,
139,355,177,359,474,555,389,330,275,277,528,259,429,354,866,286,098,231,669,
954,584,172,889,810,284,667,388,296,253,271,540,991,103,446,998,805,296,408,
742,288,221,016,695,718,542,809,813,228,979,751,036,328,485,821,732,677,419,
395,677,837,641,528,753,546,415,220,694,628,313,630,935,263,029,678,719,464,
129,172,284,774,133,338,188,373,029,940,257,729,665,615,274,842,040,835,598,
192,652,040,951,720,693,711,484,808,250,806,938,825,104,031,760,387,517,627,
443,687,137,980,822,091,454,390,437,131,850,404,357,700,231,482,980,962,295,
276,559,645,801,082,099,976,341,033,819,293,468,268,818,331,853,255,329,325,
640,280,126,738,341,329,501,074,157,638,681,698,085,034,128,868,942,277,092,
793,662,941,946,848,605,613,896,913,122,415,377,985,441,826,013,526,511,625,
217,458,263,152,208,870,044,544,886,227,125,371,778,583,127,243,796,935,057,
035,815,280,506,303,598,422,820,305,713,596,790,158,448,323,812,403,753,030,
686,271,012,253,535,301,865,227,473,472,840,602,812,560,689,997,299,741,347,
253,797,773,701,769,577,191,533,211,775,327,921,622,234,179,291,064,876,919,
259,346,729,869,752,406,961,684,110,250,339,818,033,375,577,645,512,452,800,
381,127,244,984,978,294,044,806,451,304,621,159,610,418,153,758,751,278,585,
774,651,760,055,346,282,566,570,595,029,499,141,953,233,067,157,819,560,522,
202,097,893,382,703,182,142,473,546,889,276,051,994,132,048,935,903,019,427,
728,830,971,580,487,451,769,407,595,343,339,404,090,430,470,411,768,887,703,
407,437,505,458,096,322,933,128,964,675,537,406,943,329,987,211,223,342,943,
379,311,316,460,221,568,457,794,723,762,103,016,960,830,684,277,101,898,071,
555,561,981,767,598,214,040,466,105,170,847,777,925,244,687,741,350,260,670,
404,130,848,774,963,595,337,921,439,146,049,358,188,176,135,276,283,062,736,
518,879,288,019,649,722,736,218,623,793,758,779,759,229,430,036,568,128,244,
913,165,921,833,214,591,668,710,843,888,605,499,198,252,092,983,666,980,573,
866,871,485,720,478,259,780,991,503,914,181,740,520,222,032,078,540,717,242,
259,007,388,010,475,811,697,424,189,535,812,231,125,603,087,510,418,689,730,
953,428,920,303,463,497,387,261,286,066,221,580,353,315,089,958,272,705,609,
943,149,095,889,598,073,754,247,671,899,723,928,142,973,158,894,977,478,782,
435,868,192,373,946,332,592,741,234,030,863,700,058,751,844,377,657,427,733,
286,559,155,468,273,624,379,580,092,770,268,905,917,252,190,105,598,010,687,
497,158,149,091,420,735,954,100,206,203,848,993,818,775,454,144,303,294,263,
168,907,997,461,510,803,340,433,577,138,425,423,343,145,922,727,734,419,564,
734,465,564,858,083,664,717,574,849,041,166,950,177,796,437,257,549,842,993,
475,727,547,590,604,839,325,136,744,595,897,908,774,741,405,134,431,611,517,
948,260,465,747,470,450,928,119,663,217,956,923,076,167,570,771,224,211,898,
807,920,224,822,641,840,048,502,322,209,333,084,582,454,274,395,984,039,631,
606,842,338,614,313,907,420,529,321,019,854,392,183,288,644,095,148,573,430,
823,200,679,192,312,650,572,537,071,304,106,571,182,067,613,453,336,635,412,
229,975,770,471,149,600,384,320,057,272,892,872,681,331,488,539,003,424,908,
690,926,901,420,171,362,140,709,557,909,646,488,521,715,546,952,750,761,293,
710,252,579,779,100,796,877,965,827,548,294,922,831,903,701,879,478,945,587,
594,322,717,338,297,047,410,025,728,904,345,943,653,868,425,612,507,109,510,
772,961,487,336,336,703,157,291,405,955,881,013,002,420,849,606,854,816,834,
049,612,515,641,251,075,703,856,610,911,900,707,823,697,695,051,499,769,419,
688,076,198,984,119,878,929,109,803,980,312,622,362,271,015,451,647,085,410,
770,296,053,580,554,586,789,103,600,681,124,956,682,085,141,952,646,056,937,
806,012,586,480,106,343,467,632,588,855,346,978,564,223,774,453,901,460,668,
742,732,471,781,329,600,586,932,946,635,217,335,916,681,899,401,220,082,879,
625,358,134,120,299,913,355,848,030,463,295,026,499,055,104,509,726,049,928,
904,155,738,679,321,029,118,483,123,240,107,800,436,291,828,597,479,093,483,
869,984,401,237,310,717,175,572,790,193,679,808,663,325,030,937,242,249,698,
506,301,043,023,155,352,964,563,487,855,711,060,044,822,566,910,602,492,261,
686,954,598,529,119,928,990,444,464,161,812,988,652,656,346,788,287,291,793,
469,441,136,258,222,168,626,509,883,337,584,028,535,269,355,372,126,516,429,
396,339,473,273,454,715,003,904,704,841,699,562,262,976,243,261,282,851,594,
107,966,531,588,252,825,955,575,331,168,385,212,776,588,330,963,571,314,080,
315,794,206,141,222,681,244,387,079,114,009,261,636,950,591,007,345,666,246,
915,032,970,219,403,986,106,843,134,179,925,429,341,518,292,197,765,335,231,
171,956,681,604,008,949,325,740,458,313,090,879,967,611,735,810,882,131,362,
916,219,471,434,145,554,199,415,133,739,957,133,445,654,189,893,027,440,255,
849,531,061,806,925,497,627,922,353,748,982,755,899,129,676,133,755,612,324,
924,074,156,466,878,935,149,390,431,942,962,304,035,937,063,374,745,082,094,
727,426,123,787,347,035,228,392,446,170,950,975,515,532,837,978,410,537,220,
512,647,596,891,393,827,450,935,287,031,559,376,988,382,683,160,235,021,015,
629,206,466,175,192,987,133,524,784,553,201,731,078,964,985,667,220,659,860,
230,228,131,961,187,204,375,118,551,952,972,369,626,279,664,441,080,993,605,
486,885,977,898,634,555,355,835,686,645,270,844,305,893,519,508,464,841,100,
241,114,483,568,633,032,082,205,095,570,649,518,552,370,030,297,811,057,881,
982,483,181,495,529,338,467,475,212,001,571,756,350,885,534,735,045,032,445,
527,078,000,585,108,012,396,261,977,772,362,329,309,612,938,869,430,446,822,
357,260,981,825,204,547,778,178,676,094,519,753,674,973,585,275,481,986,599,
253,608,328,143,663,152,721,651,005,739,068,200,299,973,644,911,099,638,572,
580,480,342,993,999,890,378,883,030,516,667,050,986,459,652,594,505,403,137,
597,989,563,015,667,813,368,549,163,850,802,647,426,769,003,602,104,649,927,
505,934,306,050,471,027,179,635,045,002,249,799,859,774,283,471,878,324,104,
899,091,435,588,383,636,491,063,091,470,018,086,032,893,401,905,851,475,700,
915,811,920,251,393,738,722,659,030,329,823,097,272,789,335,558,861,554,737,
813,595,609,620,035,898,938,155,018,242,303,532,208,214,686,254,412,365,550,
948,056,267,412,569,487,030,299,132,879,080,621,434,771,134,715,258,423,981,
652,424,146,596,776,130,296,535,067,783,683,093,890,886,827,661,783,110,014,
451,210,357,623,018,422,504,788,874,771,341,947,869,456,713,940,659,578,051,
610,045,278,522,539,596,212,270,184,264,465,687,043,934,786,185,605,173,160,
813,384,248,285,536,155,260,989,241,108,242,240,012,068,021,672,272,612,760,
154,800,941,006,802,965,994,080,768,620,130,808,408,237,843,296,771,749,663,
897,507,958,959,892,862,607,885,296,320,190,210,705,998,668,935,813,234,509,
554,257,134,145,944,597,102,084,683,879,936,434,634,317,437,730,124,885,193,
692,229,596,075,316,276,853,673,057,131,760,306,247,246,613,729,319,077,985,
104,548,297,156,500,500,060,637,774,076,421,122,197,250,899,082,808,800,453,
436,626,028,706,199,508,794,675,356,947,870,108,454,480,160,533,845,822,557,
570,567,978,830,443,487,728,570,955,897,910,456,081,553,893,665,739,379,673,
417,312,833,519,255,530,489,983,440,221,542,095,770,792,131,552,243,577,794,
143,745,236,748,955,035,582,772,264,555,202,028,581,994,341,296,036,458,833,
019,864,814,230,092,269,963,542,072,167,149,531,600,674,048,002,353,533,816,
514,942,622,889,605,046,180,699,426,092,878,518,311,792,970,877,075,036,630,
332,720,655,774,030,568,368,642,851,734,353,986,332,959,091,437,520,088,438,
501,137,537,706,884,089,728,887,412,728,940,377,838,877,588,454,657,303,810,
376,221,053,451,417,373,385,779,217,481,756,296,598,422,247,689,939,682,019,
856,240,685,425,923,706,514,111,570,090,232,131,977,659,391,080,647,340,775,
282,944,321,823,862,661,062,903,491,876,217,677,605,536,744,198,495,667,349,
285,572,988,741,731,034,582,281,199,468,515,980,649,459,994,256,268,650,949,
644,227,115,298,656,259,155,939,779,178,270,715,349,799,474,731,396,286,108,
934,207,224,947,935,682,396,176,392,694,482,940,600,887,506,962,686,697,044,
954,634,729,147,668,587,907,276,027,171,160,300,162,402,249,724,473,852,006,
814,419,650,970,520,980,917,428,075,432,046,054,315,462,848,712,669,993,637,
900,411,108,127,924,311,976,882,711,794,897,096,159,286,215,939,374,123,358,
767,588,649,868,646,796,970,165,488,239,122,845,318,006,717,982,786,490,978,
920,900,225,530,806,888,918,688,094,246,482,744,993,782,546,258,634,683,943,
831,835,284,590,055,752,561,267,730,266,687,161,114,890,652,636,954,859,623,
767,531,350,599,396,255,224,346,737,347,923,431,189,620,605,513,662,471,436,
330,042,215,808,286,158,662,293,522,727,822,005,599,479,098,190,225,340,566,
552,125,486,230,827,757,241,017,586,095,796,784,624,568,252,641,469,370,009,
930,536,779,249,244,390,094,104,428,587,202,687,200,707,952,747,557,732,034,
019,377,287,449,451,866,741,006,426,643,191,592,531,900,751,445,850,408,051,
191,415,878,046,858,914,274,103,335,007,568,470,729,107,859,491,247,242,686,
550,366,604,655,672,477,385,399,707,991,788,485,678,745,648,266,366,724,076,
389,398,131,799,688,919,214,012,442,883,337,738,509,116,211,983,580,003,311,
881,848,182,356,183,637,342,278,634,403,975,434,798,030,221,364,952,631,572,
492,897,219,252,448,894,446,986,314,112,677,589,001,278,956,298,177,800,335,
545,615,456,394,120,134,964,428,412,566,555,696,703,698,977,205,701,383,310,
495,167,509,629,907,874,659,467,368,083,606,872,190,854,946,985,682,505,353,
898,677,670,369,103,886,605,937,798,175,666,973,922,260,878,407,267,082,964,
881,665,384,552,247,623,416,997,899,785,377,835,665,138,969,032,678,598,677,
738,419,822,589,865,579,466,107,713,560,443,454,349,122,710,725,493,806,920,
891,805,477,024,529,938,388,243,838,393,777,263,652,463,875,945,033,547,172,
163,629,352,496,796,696,880,724,538,902,579,199,717,948,277,822,547,614,462,
323,534,079,323,003,120,826,528,420,104,633,668,565,441,009,600,080,951,538,
828,953,092,167,222,272,302,102,021,366,332,523,490,921,008,655,760,049,221,
313,085,826,092,344,165,385,297,662,131,586,352,247,176,818,753,307,026,567,
456,034,870,436,447,650,276,177,374,318,695,017,778,427,403,108,550,667,422,
989,444,976,769,855,239,170,484,383,864,441,914,237,872,008,080,786,963,100,
651,316,135,371,315,978,178,951,024,229,139,831,058,932,582,679,269,018,170,
803,535,287,793,480,560,380,426,110,709,911,918,239,306,405,952,089,036,805,
088,935,680,044,679,636,044,913,753,776,348,039,439,995,750,882,049,419,783,
489,808,161,755,656,186,786,198,757,065,635,620,300,272,207,626,389,573,997,
572,187,738,456,164,545,603,773,831,015,933,419,397,289,585,389,412,782,812,
139,126,350,488,692,744,075,819,291,245,620,205,110,169,159,918,644,992,822,
510,938,122,622,518,553,037,827,980,907,927,272,092,104,844,035,299,870,866,
973,373,801,729,321,874,226,415,099,978,494,385,022,111,326,698,965,332,122,
742,645,417,832,641,524,035,342,235,286,877,656,646,166,901,608,994,855,541,
470,986,763,786,060,699,995,242,137,102,492,297,623,552,498,001,232,397,199,
172,552,849,510,753,906,568,530,791,271,436,962,631,448,850,923,200,084,065,
035,900,729,873,729,901,547,634,914,727,900,541,868,367,550,381,904,569,871,
366,641,185,148,640,047,182,006,341,123,807,020,688,242,394,459,758,484,326,
057,021,053,533,716,689,080,184,200,851,026,189,124,745,275,379,268,370,008,
560,361,905,552,340,812,309,866,547,821,321,916,871,864,444,165,485,123,309,
308,054,746,152,159,635,961,912,206,125,556,501,451,508,677,153,079,068,067,
411,529,254,947,650,969,674,294,453,013,900,486,881,569,096,517,079,926,819,
778,109,497,427,549,801,696,689,171,553,322,884,140,309,682,229,844,881,846,
480,755,525,215,505,458,529,633,273,111,187,273,835,672,637,693,087,796,993,
744,201,845,947,297,301,308,914,933,987,411,892,403,907,506,540,001,354,605,
305,494,057,068,823,624,574,983,071,300,118,493,736,312,601,846,877,054,752,
026,299,072,008,540,350,694,570,452,797,071,570,831,969,972,930,881,133,153,
152,593,818,860,569,338,585,069,583,897,218,409,222,462,133,652,771,027,644,
688,306,905,640,529,426,390,554,442,993,639,007,667,803,278,791,945,011,986,
759,098,624,127,083,687,379,422,451,121,107,628,292,650,437,010,752,797,935,
546,658,243,990,524,002,231,602,836,593,543,388,113,984,394,938,223,919,551,
584,678,676,193,961,949,556,358,313,542,702,233,658,244,181,185,904,001,632,
443,422,763,635,349,478,251,883,471,046,112,743,868,347,405,749,569,378,676,
637,673,542,866,913,886,399,864,678,227,226,149,482,747,725,665,665,098,900,
847,310,708,145,107,915,450,341,985,824,245,476,850,968,945,115,092,567,101,
454,006,698,071,271,419,779,304,163,227,777,510,821,888,714,773,957,642,486,
520,555,952,452,379,064,038,365,338,712,160,206,622,788,612,208,347,667,704,
536,273,358,890,513,931,426,225,536,028,739,512,949,379,149,959,174,394,125,
015,663,820,849,803,756,493,705,066,379,011,606,414,105,972,683,093,670,059,
948,208,458,165,642,274,995,375,205,710,539,023,307,439,930,335,995,679,002,
659,078,811,064,817,180,091,253,731,495,087,798,783,028,650,707,173,560,706,
683,960,107,476,338,560,650,913,380,888,373,906,105,894,063,312,555,959,124,
561,095,060,607,834,607,365,401,359,689,098,344,617,286,979,773,039,319,655,
883,960,734,288,562,844,539,509,192,304,659,015,244,609,440,475,742,895,833,
124,839,861,952,265,029,461,141,204,454,496,964,953,958,298,228,015,501,366,
012,171,493,887,700,643,065,504,787,701,102,477,485,233,646,405,179,515,035,
836,941,700,106,641,553,651,891,451,280,549,091,680,663,880,427,787,263,630,
701,747,518,616,400,486,331,762,295,131,896,442,893,377,095,861,154,233,373,
342,888,471,423,563,789,686,698,643,379,289,536,200,895,637,784,050,036,957,
537,344,381,424,049,405,348,915,862,481,869,288,301,261,691,181,179,067,170,
808,671,067,747,578,050,241,010,925,875,896,820,447,531,079,310,943,760,120,
229,376,551,958,340,622,817,499,410,179,849,343,867,153,313,431,604,755,083,
481,850,659,653,296,419,673,263,335,746,161,235,964,039,894,521,650,159,529,
193,111,834,881,944,437,909,841,364,482,852,248,674,858,708,122,132,871,029,
126,034,383,316,719,912,899,378,298,491,704,660,545,493,555,780,032,258,217,
036,432,264,319,795,237,704,644,098,036,649,008,956,214,734,520,640,487,833,
383,473,581,646,512,975,012,897,131,180,404,749,369,753,725,185,787,237,927,
755,571,363,322,006,875,945,248,621,759,207,706,434,525,178,324,651,302,636,
121,868,876,333,470,470,683,145,820,093,023,575,351,921,895,932,303,550,508,
392,983,889,106,307,285,896,784,754,306,538,295,748,949,263,744,789,588,371,
608,882,737,517,082,049,287,401,282,802,354,927,637,109,916,385,102,233,470,
421,459,996,176,819,334,895,903,608,613,842,321,077,552,668,776,018,403,082,
943,538,945,353,380,172,480,457,166,286,812,585,988,789,245,286,226,935,531,
508,660,414,883,715,573,500,179,826,378,008,105,596,824,315,988,455,247,451,
729,557,669,151,191,422,268,413,406,174,367,760,844,508,372,791,652,404,715,
975,725,778,199,969,668,134,640,412,933,042,511,092,135,918,397,913,442,037,
390,597,413,630,708,071,047,699,844,848,635,336,665,392,854,148,267,588,080,
711,916,150,401,669,039,173,765,350,676,288,869,761,614,647,350,587,422,241,
425,673,081,261,028,453,254,660,177,255,301,791,935,542,404,830,605,005,037,
153,014,933,245,176,337,329,309,171,573,954,387,849,358,939,986,812,046,533,
343,767,495,278,801,529,860,253,518,058,491,321,069,514,799,896,493,933,219,
517,320,760,598,126,403,426,137,953,959,968,294,313,378,167,610,665,470,472,
684,002,662,379,905,349,801,344,392,480,574,554,819,238,845,463,505,872,917,
779,061,665,049,175,836,077,117,137,670,809,664,008,752,009,814,498,634,447,
439,459,915,401,623,509,667,925,960,216,020,662,087,125,146,667,095,864,939,
959,828,708,429,733,535,351,011,503,132,830,972,409,230,956,816,768,433,203,
425,353,668,748,195,126,239,250,085,062,338,812,237,898,172,030,473,296,412,
301,320,997,986,543,600,945,809,790,124,708,767,077,914,852,482,975,035,774,
398,370,061,720,830,667,905,445,387,277,404,840,834,913,987,224,334,730,329,
768,278,718,832,625,628,686,266,164,499,971,062,927,143,160,263,329,452,025,
118,028,982,724,356,905,006,980,312,481,092,705,505,549,893,754,197,393,037,
581,825,959,748,282,607,167,143,244,724,906,230,378,576,072,020,366,447,718,
006,583,933,635,900,469,158,058,165,059,330,400,227,898,467,101,339,981,648,
442,227,385,301,517,816,417,455,210,149,520,037,899,468,823,593,539,313,501,
195,781,292,088,958,347,458,325,253,442,550,866,455,028,505,583,696,386,519,
129,055,284,189,764,793,918,950,872,760,839,176,060,253,361,563,706,567,099,
437,618,205,022,178,485,324,339,156,756,027,252,692,386,518,264,633,797,738,
133,909,944,228,881,856,411,283,845,390,518,220,927,052,973,262,269,022,521,
761,851,888,244,933,481,708,434,446,529,908,282,605,734,875,837,600,870,785,
128,029,484,938,200,105,672,746,437,080,279,508,507,516,329,629,424,610,394,
465,077,746,963,176,270,046,156,545,885,718,476,988,438,768,670,222,213,547,
708,696,684,157,561,527,377,981,913,633,244,696,773,740,076,274,011,958,542,
941,552,446,956,032,397,576,720,611,646,916,728,085,114,254,902,731,199,229,
410,578,547,118,953,674,990,810,002,031,942,979,067,461,746,168,453,937,890,
864,544,890,256,263,262,080,462,364,701,631,371,166,014,475,932,736,876,996,
432,151,829,849,911,632,233,732,363,164,413,513,327,941,692,216,826,925,988,
280,892,396,943,198,665,493,827,507,233,203,005,291,726,991,498,636,988,095,
411,265,016,420,414,104,370,390,046,574,097,828,989,553,903,119,578,429,042,
859,408,930,739,701,808,987,874,469,166,116,749,657,448,610,696,434,544,759,
282,003,020,946,068,023,500,947,888,586,528,780,004,331,625,199,695,661,226,
015,406,730,742,237,380,289,946,199,988,331,412,306,224,115,866,430,399,271,
076,413,584,780,202,379,559,346,317,060,133,290,970,026,114,228,169,757,757,
793,053,890,970,090,450,039,202,426,878,663,881,451,766,876,868,079,447,451,
458,981,905,701,930,788,331,768,627,353,430,578,846,539,087,363,301,180,539,
008,875,034,048,595,129,552,653,725,805,171,658,753,391,285,137,631,791,769,
514,601,877,045,319,925,016,880,305,083,933,923,818,543,454,829,317,550,918,
991,230,243,548,475,450,243,963,507,841,086,621,227,119,778,463,190,425,704,
052,726,536,693,263,582,172,025,295,086,952,457,688,480,178,198,703,623,612,
041,469,748,446,402,592,270,559,951,749,940,477,540,411,386,121,774,335,923,
451,006,014,563,035,704,155,033,158,773,188,743,866,342,698,189,969,405,584,
009,718,676,326,679,729,963,587,929,974,751,996,391,300,991,836,979,746,510,
641,521,907,197,731,451,180,641,657,018,030,677,815,457,600,891,807,909,119,
011,005,430,855,224,453,844,969,658,407,897,582,947,662,649,102,522,744,560,
824,757,691,129,713,859,988,312,322,135,550,235,900,630,789,627,933,714,275,
196,564,471,500,012,303,853,011,931,611,057,317,105,573,436,418,929,469,602,
995,065,570,835,949,969,060,616,778,449,253,003,662,990,987,397,689,954,798,
863,727,035,028,555,942,166,591,575,687,109,023,183,000,419,783,752,551,517,
452,786,105,713,458,953,661,919,238,364,348,972,536,985,498,529,045,348,394,
083,183,440,914,102,730,002,856,441,127,837,458,998,087,291,381,874,341,375,
328,886,139,722,484,099,855,653,517,876,984,147,846,753,401,821,551,131,093,
332,519,848,084,552,931,180,873,120,694,700,108,602,716,460,570,865,630,769,
703,356,342,120,757,436,202,582,364,521,328,561,396,260,658,039,255,379,032,
379,403,814,768,289,949,593,161,013,668,152,540,595,870,216,833,315,450,773,
220,296,974,308,310,209,798,491,625,950,004,836,277,809,266,448,572,832,955,
598,409,583,765,735,511,194,603,532,362,198,687,778,197,742,450,214,129,196,
386,126,994,408,699,597,213,828,552,311,805,877,145,149,493,033,004,412,075,
320,693,454,569,496,157,692,239,562,692,796,747,623,061,696,584,138,561,164,
189,931,118,525,436,480,803,498,399,375,141,505,354,118,225,057,329,257,272,
792,819,608,033,733,260,404,377,673,086,848,073,852,357,373,462,334,139,105,
475,538,931,699,299,573,221,567,017,608,031,574,799,779,804,936,752,176,485,
471,347,210,755,398,619,883,860,159,955,116,408,775,397,444,863,559,331,793,
103,757,616,833,095,707,811,924,921,726,569,379,148,118,191,622,016,579,665,
222,214,862,363,337,065,532,414,837,514,143,089,032,402,307,189,885,897,472,
490,447,433,932,397,735,024,376,450,062,901,524,578,838,762,901,550,126,089,
793,456,349,451,897,789,125,823,659,825,230,036,405,307,585,746,417,272,103,
714,932,771,153,441,038,621,480,608,572,157,011,436,329,041,592,647,580,974,
845,759,032,249,202,894,326,715,951,431,571,940,116,761,682,441,402,771,435,
609,530,853,020,923,136,614,836,868,605,627,460,628,556,939,173,694,531,922,
197,265,763,373,494,259,109,699,566,127,937,195,190,801,096,670,283,684,951,
273,568,209,575,036,483,165,232,091,567,510,753,621,319,291,716,928,092,122,
356,375,467,407,101,828,702,262,980,262,316,039,130,268,026,771,559,182,602,
664,606,118,497,468,031,913,524,300,948,073,149,286,693,674,575,401,777,475,
704,616,969,830,604,840,564,761,145,811,421,729,230,714,765,284,787,794,418,
651,191,813,210,042,435,126,773,314,579,713,080,213,039,490,883,980,084,804,
864,460,246,295,778,186,444,923,511,612,693,201,076,724,520,036,274,996,447,
864,602,330,607,067,364,716,453,774,303,410,998,354,097,596,019,055,300,619,
523,810,839,216,134,077,841,904,466,714,324,511,704,552,111,012,779,963,867,
241,441,376,234,267,420,535,061,314,320,411,594,419,319,759,265,788,940,587,
419,471,388,256,623,422,713,602,106,590,286,678,616,823,711,652,318,008,893,
880,525,196,792,498,709,550,346,748,067,920,433,682,433,150,850,584,639,744,
375,000,627,853,555,633,238,296,470,475,124,376,484,032,865,276,971,161,002,
155,618,211,074,382,190,165,515,811,438,522,947,313,439,122,901,566,480,903,
930,598,934,830,819,698,222,902,696,382,560,628,638,718,450,553,862,657,048,
368,577,869,790,743,281,531,804,647,949,816,779,165,894,068,924,107,560,136,
503,835,251,645,446,937,569,586,953,509,538,807,174,667,753,042,518,018,894,
463,550,782,221,948,021,971,863,588,580,360,463,555,909,037,944,121,384,865,
275,961,855,519,112,919,852,517,399,621,754,917,399,228,888,931,298,179,792,
715,478,457,977,818,401,419,938,656,801,492,984,379,235,386,964,336,124,392,
271,959,854,577,072,383,395,921,504,589,574,662,280,356,985,750,231,026,434,
706,907,387,729,471,137,058,710,443,176,075,110,904,536,510,782,042,063,142,
721,189,785,133,890,518,987,257,840,729,716,651,787,877,175,663,243,348,431,
671,369,755,677,852,417,578,482,210,445,683,742,807,656,406,611,133,922,356,
976,255,533,828,539,658,003,969,988,308,596,006,644,902,638,114,634,887,514,
427,575,290,744,524,085,492,163,605,059,848,207,354,140,271,873,080,608,304,
651,525,916,747,505,678,289,098,268,323,885,992,939,121,787,517,294,740,431,
619,847,645,842,840,892,187,857,617,553,105,244,261,126,128,966,822,846,104,
555,540,354,370,849,882,835,395,012,799,890,656,186,779,418,749,768,512,279,
207,342,407,745,138,353,099,900,215,723,314,386,379,400,614,000,015,159,383,
045,654,277,629,780,559,207,824,295,179,024,949,687,341,263,795,206,621,354,
584,048,620,399,552,220,521,392,714,105,363,398,562,057,952,955,994,198,404,
826,598,687,344,280,651,993,310,904,221,256,161,402,633,481,673,943,308,742,
045,694,308,701,190,327,697,062,813,473,011,772,617,138,051,094,533,842,195,
234,943,840,341,702,526,318,547,091,107,522,149,009,992,509,946,587,029,436,
489,236,800,091,590,732,219,626,450,185,058,806,272,913,083,098,493,798,709,
076,045,484,509,783,338,239,063,280,231,962,082,026,258,079,363,622,778,708,
604,193,618,758,039,993,383,137,174,743,680,562,364,606,245,193,972,384,099,
130,384,675,685,716,030,256,793,646,037,220,114,506,435,436,322,532,579,827,
360,150,403,502,544,365,219,175,302,923,948,657,856,867,364,425,578,025,129,
882,246,699,277,162,383,263,137,984,542,408,260,049,693,429,049,622,471,215,
946,711,826,433,226,651,226,299,212,926,864,176,961,602,303,140,864,264,575,
717,787,151,556,953,523,974,275,592,694,248,563,473,905,456,743,827,747,651,
661,816,443,987,653,347,504,279,341,457,800,000,836,841,135,870,858,619,301,
823,185,486,351,137,837,014,100,373,438,135,215,433,437,997,774,826,290,069,
643,532,632,613,620,824,729,250,119,689,973,599,998,978,379,952,734,825,569,
016,089,295,455,959,519,222,212,677,964,135,322,707,614,625,011,916,464,903,
460,330,043,030,686,222,194,955,075,777,241,688,713,026,255,730,687,084,411,
651,418,302,870,034,737,310,087,344,203,229,948,835,968,804,708,262,480,631,
431,104,889,707,733,140,151,328,647,917,245,218,836,080,481,823,093,888,336,
433,293,773,699,563,113,614,385,243,067,872,010,275,630,512,663,727,749,344,
436,990,710,128,145,082,807,088,333,688,033,634,516,820,461,897,827,081,283,
492,546,446,384,558,853,555,492,413,130,186,867,918,340,849,777,817,722,792,
478,937,610,787,925,140,696,657,761,358,573,592,856,760,679,326,418,349,842,
894,073,734,015,050,914,765,628,067,750,016,549,542,337,201,485,371,947,865,
887,340,616,846,301,523,094,653,389,421,339,345,758,735,643,967,343,601,208,
309,558,897,102,910,796,101,866,869,814,424,458,100,310,827,063,424,581,387,
687,940,538,799,688,235,924,326,576,170,865,381,705,584,193,524,269,166,508,
924,685,868,397,471,902,052,524,759,158,265,217,636,028,884,941,743,333,011,
902,102,581,580,093,408,188,220,852,305,355,579,602,754,386,084,865,001,353,
637,015,051,194,639,396,780,231,748,550,663,843,015,475,845,488,933,820,237,
103,001,975,716,329,685,004,062,964,869,311,645,910,042,868,503,587,647,347,
821,291,337,258,895,652,800,858,796,944,656,442,725,823,482,954,305,968,357,
715,359,773,367,060,090,504,829,813,451,848,721,443,930,188,128,023,978,099,
236,423,876,879,262,855,781,849,534,534,980,207,006,911,830,749,423,679,733,
255,651,856,165,681,300,133,492,311,318,715,642,152,892,852,387,655,014,140,
459,044,311,340,832,364,191,794,960,963,507,842,704,687,351,025,688,891,883,
409,813,198,400,601,104,891,216,553,493,196,752,416,991,680,329,749,381,065,
210,958,278,370,700,383,011,788,426,872,787,285,846,671,508,339,731,289,910,
002,090,712,783,559,888,741,181,654,963,922,524,423,305,880,126,936,183,902,
226,566,717,920,862,849,165,577,550,729,725,923,926,605,735,656,344,732,696,
231,603,392,944,390,526,584,287,626,607,168,125,768,083,620,808,888,926,046,
692,136,465,104,531,490,128,062,269,681,300,981,650,657,005,382,470,513,237,
349,995,906,144,117,276,398,372,439,583,878,331,808,077,822,877,708,228,720,
043,502,668,523,494,204,442,311,411,422,573,827,099,281,288,701,295,288,310,
381,835,843,546,839,160,816,313,234,526,223,709,589,397,958,251,859,831,202,
482,293,143,228,531,295,310,745,774,107,618,418,147,798,407,500,649,438,953,
707,044,533,720,791,794,955,791,508,608,828,573,226,790,844,689,009,881,383,
869,814,302,627,401,949,340,878,838,170,072,049,567,969,405,460,420,003,641,
709,828,831,414,428,485,527,247,554,840,315,843,653,844,575,458,909,921,549,
672,192,862,571,142,230,431,958,025,761,339,564,414,512,361,285,598,159,501,
390,720,457,384,955,606,456,736,093,007,311,800,785,555,418,851,831,652,973,
594,007,865,148,422,930,743,163,293,686,890,285,955,913,858,380,241,762,710,
338,288,739,567,330,483,874,625,952,985,003,446,723,059,219,484,600,754,717,
469,885,533,445,457,266,774,633,585,962,848,916,114,108,738,333,859,217,075,
973,878,673,123,437,219,934,009,785,984,768,292,886,269,872,364,161,871,278,
750,045,510,932,576,285,824,149,020,170,623,513,606,384,041,519,355,994,167,
082,994,203,027,148,536,709,945,566,383,004,772,127,800,020,258,035,645,915,
767,848,174,398,340,380,209,906,196,373,208,051,111,076,614,621,029,575,480,
863,181,561,752,179,768,246,537,168,685,496,110,091,544,962,297,573,821,555,
657,115,130,289,835,560,488,624,634,341,215,154,563,330,595,825,972,662,150,
072,033,095,064,026,916,113,507,368,707,240,274,328,018,199,423,160,257,298,
584,409,248,267,314,807,936,746,013,170,720,161,074,875,798,064,979,112,694,
754,261,578,903,832,970,272,013,604,737,202,271,097,782,342,169,244,379,409,
187,884,216,821,141,288,990,869,327,936,660,887,873,224,702,803,499,585,708,
262,652,193,446,415,951,777,524,380,243,163,473,021,199,264,476,247,872,417,
589,300,959,206,403,893,995,562,584,928,065,926,908,775,858,467,910,361,292,
144,482,017,697,437,810,036,760,251,313,189,533,075,685,840,822,151,387,485,
726,811,794,574,737,672,698,260,326,422,441,704,909,417,253,894,074,031,812,
434,355,651,919,368,037,022,627,347,278,487,180,399,523,851,791,459,576,548,
450,141,307,380,136,282,477,270,901,260,005,307,559,991,677,572,050,004,539,
559,884,443,590,323,969,131,431,787,876,139,987,433,284,395,870,076,852,091,
452,695,860,414,304,427,515,575,657,197,037,203,753,887,821,054,127,775,661,
885,196,266,547,004,354,563,841,447,023,143,166,857,113,565,295,623,068,623,
166,594,335,659,176,852,186,153,795,708,316,476,806,384,662,367,258,103,193,
883,455,690,372,126,017,517,771,955,655,802,792,093,347,616,127,025,184,746,
892,490,765,288,024,199,215,389,532,372,304,428,801,866,895,212,916,088,701,
661,658,844,547,751,362,654,622,908,492,553,663,159,115,391,038,593,188,514,
952,574,274,004,724,299,081,752,332,898,080,282,189,429,905,895,179,990,874,
215,530,179,830,623,919,264,479,557,920,092,408,764,779,649,301,803,946,981,
099,102,894,311,979,897,640,013,479,580,484,077,830,805,296,253,293,164,211,
661,683,381,387,743,277,892,480,106,735,129,145,106,158,916,921,216,085,571,
832,067,625,093,091,531,787,092,734,116,432,066,582,700,952,751,517,467,490,
683,145,701,373,959,084,433,904,436,053,193,679,408,667,188,764,036,509,357,
584,811,884,783,236,578,387,235,922,023,776,960,799,189,685,809,799,339,840,
703,287,383,479,444,891,597,037,700,337,102,650,234,137,489,840,207,800,315,
995,589,293,029,178,142,903,283,206,596,744,321,734,440,370,864,857,178,051,
785,033,867,887,659,483,738,063,525,031,480,380,762,712,251,948,874,984,306,
512,442,984,278,253,871,483,545,289,104,671,198,137,647,811,239,907,529,842,
257,857,142,200,554,470,061,220,123,412,293,359,024,614,144,291,718,436,784,
957,583,397,587,905,538,766,096,405,377,980,944,545,621,135,434,090,647,700,
045,279,148,033,925,716,957,553,248,507,187,734,199,180,264,595,112,456,132,
348,576,356,493,828,388,381,960,673,208,166,592,738,595,336,129,229,049,097,
644,419,944,006,066,457,281,131,826,558,151,300,200,218,216,100,787,404,743,
234,574,185,638,930,542,584,716,261,998,820,867,032,847,542,885,885,027,978,
004,868,030,411,725,989,773,005,775,107,695,077,110,359,514,171,472,435,751,
234,244,768,349,622,298,104,497,602,690,164,260,854,096,555,868,573,045,278,
961,815,976,509,922,696,176,341,444,955,021,583,405,024,644,471,950,841,219,
284,292,049,032,049,454,538,634,375,449,807,389,588,122,086,069,138,253,567,
942,615,820,219,635,465,873,124,958,531,994,846,603,367,439,908,165,010,545,
590,177,828,610,696,725,094,132,446,045,802,397,116,800,056,618,979,258,415,
045,304,156,554,298,779,529,474,507,412,281,032,699,794,061,539,605,644,419,
784,861,084,984,080,827,623,588,503,676,905,460,002,411,384,733,966,344,660,
786,660,430,595,302,211,455,159,003,021,338,554,947,780,261,063,756,644,375,
029,401,930,782,037,983,178,637,287,741,463,321,624,425,909,904,536,263,326,
078,499,595,092,848,951,830,160,113,567,756,482,313,513,587,468,689,045,857,
237,506,446,139,255,932,722,012,114,357,382,643,128,481,503,324,443,985,374,
084,558,074,666,013,022,438,962,532,621,381,281,310,290,881,066,360,135,751,
938,167,245,012,349,755,761,232,556,258,124,327,231,215,854,968,549,792,486,
375,382,274,120,011,663,454,752,831,711,998,216,767,259,443,746,364,492,900,
354,625,833,162,205,163,364,563,288,520,771,487,847,692,997,237,051,811,400,
666,455,193,819,746,939,916,339,759,138,366,833,427,843,272,016,021,562,629,
179,871,610,017,682,322,946,347,746,415,454,177,435,897,260,234,322,163,207,
029,771,308,133,284,482,373,787,548,730,696,943,634,583,379,261,334,882,888,
270,771,417,023,716,635,046,859,325,088,329,106,587,124,878,516,802,598,223,
648,562,069,714,944,217,703,964,854,476,079,881,300,002,308,863,370,775,615,
902,142,780,048,733,338,774,324,909,569,479,640,353,056,750,832,817,373,664,
307,601,856,723,528,502,969,253,848,264,748,098,473,131,561,423,865,429,212,
234,588,129,558,458,421,863,948,266,412,580,921,343,963,439,166,945,594,918,
070,255,671,332,310,297,094,151,468,433,378,257,427,626,577,015,710,860,749,
366,307,683,008,542,939,778,562,967,001,289,507,555,695,406,682,878,476,213,
347,567,854,602,154,104,063,180,472,242,221,639,914,449,194,145,351,888,270,
289,072,885,743,281,016,525,374,296,434,802,672,501,155,630,457,366,797,977,
241,027,224,602,115,941,572,706,837,781,359,426,720,292,679,586,957,641,686,
247,524,293,746,344,784,556,499,527,072,719,681,799,442,513,157,382,050,449,
122,978,082,028,340,731,262,750,847,083,207,052,178,428,767,248,219,044,436,
546,681,552,240,038,923,187,358,560,668,392,976,724,262,850,000,225,135,247,
944,328,048,567,640,518,201,511,963,498,431,014,111,622,085,723,594,725,165,
264,209,294,316,320,629,733,961,664,404,325,678,166,674,450,839,665,624,250,
753,036,003,317,105,271,750,540,319,034,186,750,726,563,239,260,862,051,355,
538,943,394,176,042,901,385,488,979,547,731,271,881,760,086,882,641,232,595,
570,419,743,971,417,975,611,096,871,472,768,865,270,355,949,113,528,837,529,
611,465,174,434,293,378,304,715,175,745,097,622,664,751,840,824,768,614,303,
091,288,636,715,759,485,658,086,780,984,537,167,260,282,031,834,906,438,936,
850,942,829,494,813,543,424,058,391,187,814,333,387,510,761,204,129,148,097,
311,656,000,369,033,349,366,292,401,995,585,722,122,424,493,411,219,013,417,
658,961,929,329,408,973,212,957,835,774,890,769,615,009,019,858,344,540,763,
536,026,759,006,186,524,032,020,228,805,731,075,233,466,836,532,825,107,580,
210,180,013,779,126,838,302,116,599,539,414,757,763,859,745,561,493,614,769,
446,946,099,866,633,392,372,251,132,451,783,916,272,033,769,204,515,261,487,
359,912,657,806,223,116,008,249,184,285,484,159,354,964,514,488,775,283,263,
433,730,388,928,311,439,222,283,318,297,805,557,566,418,886,967,477,358,484,
209,961,944,920,735,172,802,281,788,225,120,655,094,910,487,373,734,611,929,
449,395,770,949,135,185,188,147,941,624,348,946,374,876,561,232,723,708,932,
268,426,849,496,066,021,798,607,145,120,915,832,155,325,862,625,234,634,293,
675,904,230,885,923,585,310,532,430,163,656,636,433,126,704,303,533,405,025,
106,546,071,675,022,163,513,167,911,506,669,573,418,796,728,624,059,437,401,
557,892,769,772,249,922,470,419,408,713,050,992,105,533,612,377,533,947,989,
553,738,052,016,739,594,557,614,779,809,607,818,453,162,735,483,995,780,305,
936,447,512,416,903,742,318,863,270,058,080,953,971,752,095,961,191,338,394,
990,782,308,179,131,029,436,033,021,601,622,121,659,021,461,077,497,556,692,
065,015,001,558,059,615,021,974,672,865,345,236,981,254,629,911,435,370,679,
227,115,720,281,261,244,277,441,922,670,692,385,028,859,309,961,833,218,359,
889,723,971,888,231,791,736,361,844,734,494,003,193,564,331,534,180,774,101,
719,345,286,351,651,591,308,933,725,820,475,161,192,470,419,948,153,997,370,
225,492,940,214,685,632,225,657,670,043,143,952,247,796,622,566,452,298,300,
501,967,305,798,089,273,401,338,670,006,932,746,249,675,081,141,129,452,512,
115,224,269,109,909,811,533,050,134,040,658,280,504,661,722,730,923,963,508,
631,599,547,125,405,086,237,148,673,083,900,545,658,445,932,920,019,550,753,
995,791,791,187,585,670,851,911,338,499,616,344,520,696,476,266,611,351,113,
832,220,735,898,388,326,349,829,542,625,202,537,379,919,058,683,818,073,564,
848,146,076,166,324,196,927,796,363,957,357,294,750,294,359,713,254,191,896,
319,266,322,159,852,983,749,673,149,487,082,340,808,134,854,035,678,219,773,
085,131,058,881,009,901,164,344,502,692,024,907,067,248,199,520,110,594,950,
999,260,692,806,230,907,312,239,618,900,046,936,188,620,856,913,620,243,526,
365,979,235,615,575,946,037,210,620,353,065,104,941,553,879,074,532,541,943,
221,086,480,232,861,863,367,302,202,169,184,906,032,868,126,452,919,751,541,
883,553,262,105,603,318,435,692,404,154,417,287,484,111,618,675,844,104,662,
799,240,288,852,967,865,374,281,814,731,130,753,050,605,683,921,125,943,056,
149,719,292,878,579,790,802,229,476,508,955,497,693,657,217,173,560,628,400,
135,484,689,210,526,305,923,208,819,180,918,352,230,605,462,386,778,402,296,
530,329,699,219,012,236,603,549,299,090,238,730,929,415,248,562,396,067,894,
650,970,673,353,153,694,131,423,815,686,737,290,096,998,155,282,358,280,571,
420,945,038,503,245,955,967,674,082,434,392,813,705,050,330,905,384,396,378,
759,317,428,108,657,278,310,117,415,891,879,074,788,614,777,281,683,463,130,
398,636,526,806,180,267,667,561,126,265,690,039,557,647,298,099,916,535,847,
583,411,900,009,243,930,157,966,448,496,761,213,892,404,360,769,445,056,278,
817,359,782,545,348,676,643,159,246,796,918,818,484,038,747,716,237,917,033,
559,011,421,450,280,265,197,695,320,441,617,611,278,725,594,575,173,382,339,
947,686,226,226,447,194,633,215,769,557,321,020,778,098,506,037,849,420,157,
281,576,437,857,689,468,526,848,774,277,470,935,020,845,921,006,304,143,253,
149,472,778,512,007,831,130,494,654,374,076,515,514,636,766,139,642,171,190,
286,301,543,442,091,691,588,857,179,471,096,113,868,903,745,578,678,606,498,
826,854,032,453,529,115,374,790,763,714,332,226,201,025,710,676,443,050,932,
868,631,239,134,056,143,072,760,420,647,903,294,245,655,869,422,120,091,384,
424,749,681,625,482,526,601,136,887,413,589,756,226,420,188,626,740,120,488,
592,523,955,787,175,765,909,994,577,531,253,274,008,847,653,289,795,705,195,
448,621,885,107,304,855,307,216,988,541,702,657,783,975,168,506,721,073,584,
520,793,132,058,847,988,138,203,732,073,220,665,011,037,275,184,694,023,563,
363,497,944,546,823,004,459,118,677,414,232,533,847,493,247,641,563,970,145,
054,044,901,924,880,624,575,382,565,214,799,761,391,021,771,002,007,463,213,
998,200,689,784,450,322,852,462,597,517,213,226,338,799,441,157,837,157,069,
142,704,207,356,304,548,312,557,716,896,366,358,674,021,203,485,905,163,166,
405,788,243,192,575,093,652,126,537,929,554,821,275,070,542,702,599,912,492,
846,930,648,085,932,080,749,880,891,919,648,972,759,480,483,551,431,644,356,
996,307,708,314,007,112,424,777,245,466,413,648,674,092,173,844,811,362,478,
178,485,627,075,176,577,648,274,240,966,547,237,580,882,590,524,156,600,029,
302,200,421,190,957,428,466,989,357,388,303,349,132,698,073,844,723,265,590,
253,157,437,757,164,583,791,422,237,843,595,003,587,319,053,123,381,023,207,
503,069,088,453,976,572,575,169,412,804,359,480,613,283,087,359,958,506,731,
483,211,552,429,720,561,729,301,218,071,949,001,795,421,442,239,372,514,848,
799,097,231,084,682,562,689,246,688,468,246,334,289,790,843,858,205,834,487,
317,587,385,997,800,891,604,745,456,357,826,806,840,674,896,302,048,706,419,
029,760,376,884,855,082,348,622,113,064,572,784,897,892,646,790,228,753,468,
045,023,199,465,426,924,235,295,280,635,613,439,382,736,686,489,211,706,672,
653,124,847,758,371,527,168,412,312,572,197,485,687,551,579,976,998,058,557,
757,590,459,945,658,207,200,851,272,961,419,353,155,561,209,510,809,409,195,
090,103,702,350,627,760,448,138,557,593,002,425,780,337,155,605,849,036,567,
704,570,600,678,640,475,493,004,089,750,903,031,691,722,159,303,951,889,487,
759,857,513,451,721,236,349,912,704,074,973,074,584,916,817,497,290,088,144,
874,367,149,237,017,563,335,879,550,234,345,706,959,283,418,250,129,526,665,
363,752,720,845,862,117,433,786,486,013,904,664,184,963,075,386,860,886,154,
195,877,977,069,499,125,695,365,004,483,989,696,176,180,513,221,320,917,358,
331,476,307,522,030,362,039,609,610,169,557,530,794,533,355,429,877,770,340,
927,275,022,704,542,855,416,282,738,529,971,981,489,828,607,657,572,281,365,
899,027,180,713,694,147,557,475,915,945,049,968,813,314,352,042,405,195,110,
219,071,607,110,707,257,565,019,881,177,732,585,033,233,437,986,116,567,009,
716,591,879,936,402,053,642,585,939,647,119,840,168,518,780,333,368,262,425,
673,238,323,086,661,604,278,693,827,756,186,761,482,825,092,023,672,292,901,
400,980,932,946,450,182,643,722,635,261,606,382,675,376,869,490,382,167,982,
396,178,742,993,425,099,544,231,880,028,276,691,033,492,995,085,000,845,884,
185,592,899,721,244,086,975,756,747,997,382,935,162,719,100,724,262,983,963,
967,997,621,688,528,759,970,538,612,315,271,837,265,925,727,163,643,531,341,
029,644,484,627,595,776,452,575,492,264,307,490,520,247,037,996,003,758,741,
623,102,463,464,405,803,194,964,679,292,427,180,413,796,899,802,220,503,411,
151,827,299,601,946,915,408,955,100,675,373,345,558,802,998,755,303,773,766,
951,079,544,269,263,639,827,226,892,441,359,199,206,970,774,986,411,810,522,
894,930,779,015,834,946,398,740,644,259,734,743,733,759,610,838,866,363,724,
348,266,322,267,297,855,038,913,440,914,393,993,698,148,248,958,840,719,635,
913,322,280,327,819,714,952,576,177,702,958,514,053,111,112,106,025,124,472,
464,481,184,952,495,565,828,775,193,151,862,046,814,749,184,391,609,713,217,
962,010,781,990,923,322,850,210,864,495,203,350,199,943,876,469,243,816,187,
189,500,536,320,482,806,109,173,237,390,536,925,687,040,977,444,236,366,705,
136,252,644,841,309,251,170,575,660,332,492,475,718,710,249,590,972,430,902,
165,655,251,626,136,458,647,018,269,254,587,346,601,072,169,217,787,172,464,
048,795,588,581,550,402,791,168,303,528,228,514,733,406,261,012,564,554,067,
654,712,268,665,471,676,731,119,136,223,497,310,973,535,329,481,497,335,803,
128,998,883,346,919,331,387,874,574,593,017,711,815,029,253,486,618,319,455,
442,793,477,574,105,238,568,939,050,515,630,022,452,312,408,196,671,130,027,
968,423,657,068,024,781,758,290,088,785,378,827,625,508,980,015,214,121,897,
352,316,888,126,672,880,468,576,144,781,093,350,855,246,243,334,297,495,311,
389,572,412,572,908,476,381,067,167,814,385,948,141,066,799,231,551,408,283,
485,668,504,994,650,608,462,471,591,353,387,000,307,462,499,508,809,438,343,
323,566,234,639,386,796,090,809,624,309,606,167,100,787,176,875,861,718,264,
665,287,407,608,064,320,578,001,819,831,372,237,067,247,202,213,441,423,198,
231,763,431,342,598,451,682,332,235,758,327,244,599,247,010,896,492,069,955,
968,559,135,842,533,474,765,080,578,617,128,061,780,494,924,364,879,320,727,
814,373,220,671,984,195,074,770,162,933,508,980,478,195,622,036,497,191,319,
320,500,598,756,414,125,654,223,716,944,895,125,194,792,264,271,032,714,995,
736,737,647,346,089,808,662,836,742,070,767,870,779,351,652,069,521,449,301,
961,504,320,090,974,137,389,554,404,555,505,158,549,914,175,531,397,462,976,
722,383,971,913,844,543,225,836,038,745,265,291,357,141,562,664,923,486,644,
832,790,933,779,585,200,983,051,851,940,788,620,560,685,358,073,897,701,474,
423,751,111,662,516,393,661,101,943,181,844,691,967,881,409,642,080,843,134,
843,405,905,787,038,885,292,166,671,709,304,552,317,270,228,577,689,033,798,
710,302,842,257,526,486,561,340,356,990,970,495,702,765,736,046,070,506,861,
510,329,362,876,701,012,811,526,786,319,862,227,769,266,170,311,334,243,621,
294,718,615,407,605,092,244,306,520,111,383,570,949,776,378,480,721,436,950,
533,491,888,710,320,201,190,786,532,535,279,119,833,669,788,955,823,403,426,
891,086,427,832,392,357,758,516,427,993,348,367,371,036,588,345,218,375,967,
614,312,789,972,510,426,666,995,256,370,371,637,239,463,911,502,286,699,601,
747,949,228,626,603,806,584,795,245,522,216,376,696,240,266,862,211,731,833,
876,186,617,879,709,177,577,724,559,723,738,283,698,083,345,556,334,162,550,
486,208,221,929,987,562,221,964,688,064,828,783,583,667,397,194,171,099,793,
693,573,869,522,079,953,503,655,325,901,171,955,206,620,887,744,129,487,588,
589,725,425,324,802,194,123,916,004,940,719,127,086,583,327,990,276,000,635,
676,661,572,544,477,717,017,615,389,720,427,424,002,929,675,822,747,529,900,
881,929,774,051,516,754,156,970,535,114,103,029,188,850,451,115,773,038,310,
125,967,033,430,536,719,503,604,513,026,414,131,021,645,856,469,238,815,176,
010,477,636,479,422,548,609,750,022,815,789,053,298,754,327,380,761,806,774,
939,730,537,770,549,279,923,233,027,627,805,906,126,184,073,336,334,419,001,
783,781,430,771,015,787,481,633,427,423,178,601,225,152,830,434,584,543,937,
574,296,254,559,094,067,202,310,513,389,316,225,979,644,953,285,935,621,275,
662,774,830,897,331,374,158,352,348,015,103,122,440,857,826,216,978,936,616,
049,417,549,520,472,162,856,244,121,627,342,701,924,755,817,646,422,308,610,
969,117,491,052,307,098,093,435,694,024,731,531,387,897,075,917,813,678,601,
788,364,647,013,879,324,485,676,933,521,712,175,435,946,723,941,405,896,497,
804,418,423,903,391,918,274,589,875,029,867,736,745,712,140,443,870,508,269,
956,291,849,399,447,958,097,764,941,201,769,340,035,693,720,655,513,009,428,
118,646,401,365,635,175,024,393,633,659,723,211,602,937,223,061,947,588,075,
366,941,326,940,821,746,426,221,473,443,905,214,568,256,895,291,481,894,119,
977,835,109,470,298,092,471,112,153,551,547,517,257,042,882,636,493,920,446,
472,188,946,307,575,007,172,173,644,104,136,643,827,917,574,571,213,570,317,
613,671,358,899,082,631,330,774,754,034,540,645,494,988,625,893,711,115,096,
398,550,981,419,599,003,955,431,036,043,483,848,393,207,023,927,912,907,078,
170,194,843,693,975,285,646,982,016,847,227,628,224,983,611,427,425,357,047,
924,862,399,120,271,846,889,694,117,706,846,875,173,923,891,484,405,461,393,
257,918,805,664,122,141,816,496,823,049,119,950,298,835,654,621,924,375,015,
160,542,019,621,766,223,689,118,271,435,219,889,654,263,582,033,851,779,379,
650,391,580,975,658,960,481,963,381,232,820,199,855,655,566,081,737,288,131,
142,588,330,957,156,465,501,848,924,034,975,555,827,123,879,605,239,159,830,
904,375,016,622,166,304,039,186,475,752,155,822,950,562,790,664,049,884,254,
870,949,060,520,618,648,977,656,096,916,828,079,370,990,335,298,299,960,313,
016,861,899,011,396,899,293,917,242,564,392,257,950,609,436,380,624,792,119,
387,995,153,027,362,799,934,799,687,715,405,148,426,493,231,969,835,378,603,
362,315,002,757,051,274,494,322,144,548,312,854,349,563,202,577,584,541,805,
540,678,246,204,831,393,322,712,024,039,023,716,039,786,409,977,863,037,792,
799,791,028,550,632,069,734,788,753,005,741,713,349,583,959,433,588,560,433,
752,985,910,333,508,372,959,304,431,574,915,436,122,838,686,768,908,605,705,
514,276,294,776,135,807,289,946,325,867,043,746,074,930,966,554,050,482,774,
591,162,688,008,872,513,068,508,089,215,743,620,228,542,683,483,224,993,022,
779,864,937,264,767,902,268,243,985,074,560,518,756,003,295,246,804,186,820,
804,089,070,270,087,768,591,203,825,663,651,779,020,667,754,290,846,645,711,
562,733,492,761,254,257,291,674,361,003,638,548,271,791,821,258,652,044,271,
936,889,950,974,793,874,121,585,306,561,520,450,423,220,121,296,283,931,626,
640,676,494,306,608,779,221,430,988,526,622,512,954,534,022,930,699,912,275,
672,656,731,584,970,941,795,517,202,319,983,837,585,173,678,155,214,872,386,
074,836,277,739,032,181,545,261,014,058,125,444,567,651,132,330,069,388,300,
950,283,465,413,566,937,523,239,804,244,901,068,390,181,799,999,040,512,738,
177,359,967,298,421,001,991,186,285,626,603,093,732,026,251,656,804,654,857,
530,293,334,807,514,121,125,562,930,279,349,670,830,598,978,341,376,150,698,
717,225,702,148,451,281,953,350,392,676,128,829,448,356,583,823,277,872,331,
202,819,122,183,784,026,512,600,496,239,906,777,183,143,285,405,401,338,242,
222,941,167,030,807,637,647,340,941,263,594,524,819,081,333,709,769,642,587,
774,708,460,255,628,607,005,460,425,730,234,823,606,433,422,414,750,393,086,
204,348,469,838,128,459,992,475,035,430,781,065,347,442,523,997,465,409,928,
658,930,161,427,874,168,007,848,693,793,934,938,944,425,066,729,169,692,131,
852,620,622,702,735,142,607,520,694,387,073,269,480,266,960,489,918,219,250,
129,299,762,582,782,493,566,249,933,364,379,671,347,266,130,143,873,359,090,
317,498,144,809,254,255,262,146,197,920,863,801,966,039,498,531,887,996,843,
454,486,922,116,338,471,998,347,094,660,592,588,144,853,484,636,497,172,953,
888,253,412,585,463,804,279,479,424,789,134,159,996,970,762,276,578,347,526,
137,551,097,150,380,582,307,391,311,806,004,228,921,348,764,591,138,595,052,
788,001,182,382,718,441,161,573,581,598,660,901,593,076,471,883,605,959,192,
313,143,800,155,209,329,162,168,016,393,614,964,541,032,554,673,419,017,802,
968,814,898,382,218,560,701,036,201,881,504,029,023,796,142,054,448,727,833,
562,954,265,545,727,101,412,623,782,167,030,583,349,535,185,331,721,968,953,
961,791,545,104,608,299,717,560,836,341,810,542,124,729,975,325,721,341,690,
179,254,136,192,362,943,276,692,950,485,937,961,830,695,008,069,263,161,497,
263,991,839,148,338,773,287,575,563,024,775,679,743,803,375,623,716,917,339,
148,436,093,759,074,803,522,303,359,866,560,781,122,125,473,184,381,520,374,
348,689,613,527,825,199,914,354,624,228,876,883,202,999,009,535,870,787,478,
930,471,795,750,254,326,293,284,493,123,429,396,889,011,361,644,395,746,883,
972,728,423,512,027,458,769,900,369,360,406,022,040,545,938,416,324,295,861,
454,020,068,899,399,353,791,279,458,264,959,988,647,189,784,815,332,152,428,
073,113,151,119,314,820,523,929,575,444,658,117,566,641,715,812,986,144,299,
462,604,331,333,881,729,130,621,143,330,381,967,239,423,661,822,098,848,666,
816,695,540,417,503,153,483,941,246,742,956,462,255,487,325,054,779,830,213,
834,022,046,897,574,906,189,134,246,175,523,692,505,009,443,181,088,228,091,
783,358,539,530,668,681,450,831,241,969,399,774,657,917,603,697,822,236,293,
267,007,501,108,573,204,457,502,904,190,573,265,254,491,666,172,343,675,801,
590,165,190,671,855,417,708,378,729,246,643,673,985,652,517,500,439,020,899,
145,966,948,105,704,580,255,329,634,694,296,417,757,755,734,070,253,787,278,
128,259,387,709,194,671,430,308,097,681,695,635,331,422,236,247,402,408,508,
189,552,026,051,309,071,389,775,152,533,154,231,603,505,090,840,212,801,509,
397,650,953,011,128,755,034,882,198,305,270,846,658,147,876,389,992,184,669,
588,893,060,009,843,658,350,363,349,739,309,118,244,300,341,972,952,248,213,
728,927,618,165,486,295,503,385,821,177,459,984,899,767,001,282,609,567,396,
785,688,982,269,951,517,414,185,808,161,694,448,981,304,129,810,114,083,548,
380,563,254,433,442,053,481,712,309,259,608,852,111,619,974,187,332,092,999,
266,648,749,230,338,343,650,852,079,484,179,493,399,515,991,767,283,949,503,
752,969,376,656,983,777,583,740,335,374,390,016,331,844,196,390,226,200,197,
232,684,062,041,119,856,675,181,542,256,466,037,758,194,165,358,519,184,187,
584,872,498,666,906,797,964,923,330,348,151,398,534,152,210,699,304,099,549,
156,477,406,574,281,205,363,995,545,737,859,213,642,511,869,319,152,225,350,
702,482,442,220,219,542,541,183,506,669,589,377,836,224,851,725,847,432,883,
451,292,206,517,842,455,777,471,143,344,656,154,539,444,522,897,619,182,325,
462,151,729,142,955,979,634,472,488,484,211,876,557,346,371,741,049,020,123,
567,800,506,202,682,987,971,686,586,035,654,873,980,282,101,953,629,081,037,
979,730,395,688,457,617,631,740,576,004,390,452,625,279,945,958,646,633,650,
772,708,151,943,772,060,979,402,315,297,194,742,094,390,607,278,345,011,597,
721,878,046,385,376,421,248,255,020,379,767,268,268,117,244,307,988,610,706,
495,500,823,556,006,678,683,153,178,129,926,630,506,776,940,398,761,199,456,
177,963,151,221,151,222,238,337,863,144,171,209,844,345,623,461,081,232,570,
202,275,640,998,427,860,145,665,321,847,862,492,794,110,008,252,386,338,113,
522,985,124,725,895,067,176,563,228,747,898,090,693,366,059,075,839,252,820,
817,255,026,900,943,416,245,259,238,751,918,208,279,499,836,717,466,624,604,
928,223,198,000,934,748,009,957,213,242,171,214,669,086,296,682,174,954,489,
037,983,300,134,425,870,573,359,970,402,350,374,476,100,508,047,546,540,218,
275,757,109,170,491,650,047,889,721,388,561,838,391,004,235,695,938,462,887,
895,847,150,200,999,028,479,925,493,754,143,099,304,141,092,733,695,661,346,
492,097,394,891,094,915,335,216,939,430,612,206,076,527,538,797,395,745,873,
358,504,231,628,687,586,692,837,112,761,150,805,117,051,811,990,088,941,196,
105,367,914,417,071,940,818,467,256,277,347,818,065,973,064,308,637,930,078,
601,232,047,811,200,822,536,439,952,253,919,788,957,156,749,133,254,758,099,
435,391,314,113,569,288,213,832,400,308,897,109,652,185,706,521,879,802,765,
518,814,058,329,229,257,927,862,204,267,166,743,212,433,456,533,398,571,517,
903,215,402,176,534,994,311,261,846,848,532,355,220,956,146,508,222,555,081,
366,959,858,589,541,051,808,165,175,021,562,865,096,197,236,351,213,013,642,
263,270,849,974,179,948,339,207,029,192,089,302,161,627,947,173,931,627,163,
064,191,877,457,256,877,384,672,646,325,475,371,263,542,313,025,007,596,707,
046,635,312,526,343,800,874,251,800,344,969,114,639,385,657,507,898,712,204,
429,524,129,916,194,097,896,464,926,917,351,157,744,734,919,093,226,394,270,
660,228,378,679,029,224,444,900,796,979,417,241,180,527,731,531,602,469,189,
693,633,803,442,970,810,732,920,558,997,024,355,117,051,828,412,529,485,083,
936,400,913,024,610,734,415,791,612,913,370,081,216,442,740,458,005,133,697,
441,199,530,855,223,173,323,500,360,613,261,714,032,584,412,303,182,494,550,
450,652,092,928,285,294,180,787,348,086,284,317,531,260,691,571,622,512,138,
266,786,994,267,561,136,482,232,479,718,444,642,678,300,879,252,707,656,982,
823,937,120,082,290,522,476,093,545,022,473,663,714,717,070,481,483,811,128,
641,933,934,365,815,972,588,597,742,197,165,677,577,225,160,677,556,006,055,
236,591,799,164,718,407,873,882,979,190,996,366,809,282,918,476,287,790,977,
729,349,877,100,728,886,684,988,854,395,626,919,978,147,516,790,128,179,328,
729,720,406,612,195,491,756,756,448,874,937,869,306,308,864,292,228,424,618,
080,561,638,617,503,713,341,673,872,402,415,318,020,181,056,128,464,246,905,
938,956,837,097,237,318,172,734,767,535,859,232,879,080,231,161,163,687,926,
435,861,484,757,600,927,482,975,322,296,809,630,892,713,995,899,876,516,246,
831,852,145,917,453,051,977,190,342,392,551,600,724,065,254,021,895,848,249,
975,597,403,367,339,299,980,315,229,040,486,991,672,290,746,901,095,772,031,
694,533,674,743,231,925,433,839,709,382,222,738,019,867,869,686,511,919,895,
632,096,736,365,588,987,846,963,287,045,763,590,384,507,573,870,049,270,615,
289,087,949,937,970,520,911,547,952,387,721,716,443,256,685,986,249,955,643,
383,013,831,872,942,315,711,007,933,877,430,998,058,577,441,491,875,634,982,
116,011,053,363,255,815,149,901,597,605,371,960,762,476,171,320,170,734,226,
791,124,775,423,597,433,920,512,092,368,934,235,000,841,588,649,961,341,458,
152,937,354,488,577,982,400,789,716,339,610,823,378,192,544,944,371,726,339,
463,607,016,919,259,672,426,549,232,562,168,872,701,100,406,590,380,259,251,
066,318,751,494,026,576,043,709,511,775,149,004,824,463,084,038,645,434,782,
526,556,610,316,943,153,841,883,729,256,564,343,647,172,312,320,190,699,459,
466,258,365,559,861,474,142,955,599,047,379,232,569,745,052,623,605,461,721,
546,897,529,159,084,101,343,098,385,437,060,121,962,991,281,822,648,080,570,
251,582,889,048,299,745,350,950,518,272,746,535,104,416,701,487,134,462,463,
298,707,613,980,997,422,623,660,384,289,883,561,204,010,833,182,361,052,138,
581,872,014,877,633,896,175,693,450,693,370,130,615,739,652,664,699,305,349,
778,114,895,637,632,711,993,058,941,056,604,332,813,982,286,491,065,119,805,
817,638,602,185,417,236,705,211,580,253,733,657,452,577,567,647,504,450,216,
820,828,401,072,035,896,690,128,076,876,880,345,411,360,122,676,597,484,320,
501,438,925,215,602,959,612,910,440,759,026,949,276,813,915,980,278,059,282,
403,213,067,387,722,611,484,701,153,322,186,043,825,773,985,508,106,355,730,
787,949,112,351,956,542,569,289,693,291,945,456,856,271,527,907,158,655,667,
662,071,825,533,835,149,928,598,748,094,042,658,096,467,396,847,214,739,653,
398,619,827,441,253,205,974,650,489,333,147,099,148,472,470,702,151,381,865,
397,086,280,601,812,347,614,922,198,188,232,221,715,770,774,325,535,390,210,
368,446,211,082,930,866,978,521,498,614,492,512,298,794,916,864,364,844,454,
748,513,582,805,242,047,517,507,693,880,655,869,303,407,818,344,758,707,748,
129,985,231,848,596,556,297,039,389,214,995,344,478,640,773,374,274,048,217,
914,409,051,598,851,737,125,971,781,393,277,076,108,275,602,422,497,127,646,
674,142,374,353,406,208,636,716,933,799,046,062,951,325,617,136,240,541,389,
560,796,975,357,044,535,993,264,920,018,067,798,461,514,756,086,509,628,367,
510,314,516,515,336,523,959,347,536,047,910,091,793,395,751,497,070,803,107,
939,777,821,453,698,600,912,238,996,231,965,763,228,133,685,701,173,594,280,
383,669,675,030,079,626,050,898,169,025,642,743,548,487,084,612,701,450,158,
626,208,380,661,950,854,634,015,521,168,479,443,759,659,514,039,660,664,459,
241,034,815,684,347,130,706,010,776,614,059,500,484,224,037,109,718,406,872,
690,362,268,974,013,214,771,549,672,242,014,108,445,446,292,828,221,960,327,
452,718,807,125,371,107,375,683,920,746,461,532,482,669,149,814,350,871,871,
978,499,141,512,416,191,314,659,199,220,596,098,330,731,348,453,631,299,582,
455,945,951,176,392,622,221,568,893,756,730,217,070,666,058,764,477,643,972,
054,387,123,058,482,666,975,231,169,735,349,745,220,593,516,390,216,347,527,
908,537,504,406,319,746,569,599,082,359,230,973,671,854,433,815,743,036,370,
758,251,014,925,754,337,976,312,149,456,771,097,802,693,297,031,644,569,379,
960,868,196,118,872,321,940,832,166,513,563,673,107,249,509,373,946,025,963,
229,445,539,813,827,048,275,618,753,405,545,083,273,100,398,060,636,295,465,
886,805,262,875,251,825,958,432,912,065,047,508,718,346,140,000,400,651,721,
101,903,726,202,897,953,280,778,547,728,087,361,158,583,876,902,067,300,267,
369,105,326,177,781,816,324,071,179,661,022,358,245,087,059,598,141,910,982,
237,536,510,612,953,606,185,853,055,811,333,294,037,360,455,017,458,600,999,
301,823,427,539,683,333,315,633,546,755,490,688,671,245,618,010,066,016,672,
999,989,058,531,602,002,491,408,124,259,804,723,688,447,265,487,469,264,561,
366,402,926,718,354,677,411,048,876,525,019,380,605,780,191,706,772,529,140,
153,363,868,869,611,660,049,838,576,641,297,310,934,215,626,662,978,808,092,
921,813,295,456,091,932,603,607,512,006,651,150,822,401,991,877,095,130,770,
913,541,169,665,162,888,480,270,536,079,733,166,924,289,395,009,664,780,324,
639,917,591,629,601,745,881,896,687,279,256,760,674,915,909,868,081,129,550,
233,532,838,480,097,351,998,943,910,026,742,577,109,074,643,605,277,452,080,
867,421,253,284,157,966,418,245,255,415,119,830,568,331,736,291,430,613,901,
241,026,306,407,244,171,959,491,897,452,987,899,721,422,312,188,482,323,305,
485,279,080,901,808,574,216,245,498,215,973,154,873,833,706,084,299,439,134,
634,959,626,504,848,074,188,416,498,996,056,208,967,037,646,453,688,407,777,
632,670,046,493,779,353,598,705,067,147,102,601,077,054,437,827,029,934,424,
896,009,645,273,530,835,715,656,235,137,902,918,287,104,379,376,272,061,538,
167,450,543,481,680,569,878,932,625,057,419,359,958,466,928,656,434,185,886,
630,542,614,944,381,693,451,731,772,037,800,573,367,012,985,585,017,596,449,
114,845,026,043,775,211,450,576,637,185,102,199,167,147,096,766,744,585,336,
591,269,397,435,599,653,055,074,514,829,863,134,167,818,075,406,669,876,789,
286,907,706,727,964,049,962,413,776,079,692,371,562,246,775,713,016,629,265,
828,858,430,350,002,382,667,546,427,087,299,371,167,404,298,689,913,629,035,
798,998,880,183,313,550,799,863,600,299,317,341,554,259,312,383,371,969,899,
758,966,299,501,764,871,041,715,927,436,093,079,602,972,188,324,641,720,967,
167,088,056,740,634,721,583,120,702,131,267,551,296,547,893,975,128,136,614,
949,916,641,768,229,602,982,097,077,730,418,324,657,288,902,910,259,031,689,
445,294,117,493,917,574,659,534,856,424,637,428,517,369,609,358,380,376,875,
723,775,868,983,141,709,178,591,100,882,183,326,207,120,938,077,668,942,401,
210,548,479,577,535,724,263,490,038,789,341,669,270,754,828,983,538,471,614,
380,559,059,732,011,301,536,451,670,970,419,380,121,773,231,811,237,877,278,
255,915,572,068,657,643,742,153,372,019,935,819,220,469,783,834,183,011,235,
076,010,018,753,117,711,920,101,469,593,473,450,789,764,463,123,858,706,183,
524,800,626,744,952,787,890,959,066,299,007,280,312,976,052,991,704,388,161,
709,298,222,200,636,403,444,994,288,480,506,840,902,939,439,041,041,016,173,
777,086,095,903,722,849,096,096,458,696,022,644,678,593,591,510,248,289,057,
999,184,916,901,494,638,993,001,665,898,169,442,580,402,262,578,071,649,009,
696,010,004,535,850,987,111,742,178,824,481,651,780,135,388,671,633,755,040,
382,430,691,685,245,797,578,149,350,605,026,569,028,238,658,155,540,395,191,
517,296,320,810,525,094,048,427,069,373,586,109,658,749,469,729,497,387,185,
910,686,020,647,293,993,350,748,388,629,227,123,777,243,251,249,481,483,404,
552,514,661,565,239,891,221,429,198,182,987,828,003,915,911,346,156,915,235,
856,435,455,342,728,227,081,194,442,564,222,567,195,376,174,969,355,857,269,
181,554,755,700,021,595,419,515,429,932,436,329,528,655,792,717,676,770,998,
878,066,869,043,500,192,958,991,598,753,400,888,045,627,304,346,504,509,415,
496,122,580,731,517,118,209,222,896,539,969,114,879,086,063,765,373,530,387,
808,437,274,841,963,319,305,546,820,139,925,014,819,911,191,061,754,179,786,
137,459,993,141,007,786,745,057,983,222,100,063,367,369,635,824,835,849,070,
474,877,480,228,194,057,229,537,617,857,081,027,915,473,863,450,038,173,395,
780,110,036,090,727,297,903,338,388,724,068,132,718,208,528,516,709,741,992,
568,663,058,337,913,083,602,981,728,350,488,310,835,641,103,119,035,905,945,
437,345,152,792,992,759,539,282,923,317,365,085,774,348,069,865,264,955,380,
329,439,628,864,717,680,594,383,649,573,761,168,617,188,914,261,712,333,777,
885,329,296,588,961,635,642,653,868,355,258,819,208,245,007,184,975,180,703,
104,575,125,411,838,835,365,906,996,113,887,978,697,250,034,614,645,755,565,
692,037,397,683,731,169,787,046,387,838,988,270,718,051,400,873,312,158,468,
935,313,621,915,291,829,082,812,815,042,032,660,610,575,364,403,643,487,047,
625,506,698,263,894,282,267,064,916,368,222,341,298,550,366,281,526,284,836,
970,581,962,337,273,525,257,575,818,354,687,399,641,868,124,088,156,950,578,
808,114,624,712,137,824,845,322,974,150,331,710,543,539,161,024,708,808,046,
417,665,910,700,670,825,096,469,945,349,258,096,552,619,699,267,448,317,319,
197,083,908,328,970,400,587,909,324,710,016,294,908,491,727,915,581,883,918,
481,141,131,828,759,337,957,710,723,317,868,514,154,316,655,138,083,455,709,
464,260,770,140,560,434,159,427,750,843,134,637,958,952,968,846,619,363,497,
799,104,287,450,839,590,024,227,537,176,721,558,444,395,236,085,252,377,034,
536,377,694,247,788,968,178,346,355,735,848,169,459,947,621,868,042,090,685,
982,901,427,524,619,268,651,578,411,473,735,349,426,699,577,252,886,076,695,
311,627,105,360,496,101,923,948,804,837,236,340,678,113,329,125,096,080,037,
366,703,259,290,695,590,901,136,823,399,509,398,268,483,534,079,135,117,449,
694,353,679,886,663,059,460,938,156,392,049,813,547,119,427,267,238,744,343,
636,214,726,112,070,847,440,138,654,971,795,749,076,340,280,443,234,311,798,
480,996,910,708,527,364,644,436,466,140,272,179,244,399,777,954,525,788,172,
741,518,819,513,429,612,168,402,688,664,862,899,083,633,644,280,364,537,209,
786,223,692,616,633,083,213,603,969,617,298,370,790,941,639,346,118,251,774,
464,433,103,925,176,877,411,564,414,330,946,505,705,821,097,885,497,885,519,
519,147,689,988,104,132,900,472,790,184,794,974,442,473,204,497,079,976,307,
893,029,271,276,033,891,797,250,728,287,136,878,450,175,640,416,419,204,921,
094,632,353,457,119,769,517,078,267,019,885,285,552,011,334,918,203,221,037,
366,673,871,495,098,774,436,381,054,268,284,643,857,656,193,050,697,245,467,
490,882,194,671,485,963,171,685,997,132,685,360,210,944,280,196,814,040,782,
721,363,084,483,846,745,302,357,193,448,367,663,921,881,058,118,555,312,589,
029,251,167,175,425,700,531,978,756,199,749,690,233,045,982,983,408,047,873,
164,593,614,405,139,638,050,089,772,670,034,493,927,173,067,760,813,932,609,
468,959,182,638,072,133,586,335,441,204,478,827,058,273,428,126,047,573,919,
026,672,972,346,044,972,175,103,005,901,942,080,351,555,334,427,462,819,286,
816,320,662,166,084,246,928,997,040,789,063,090,721,164,225,507,825,328,413,
281,035,563,637,686,420,196,785,567,778,391,493,150,409,481,253,797,499,697,
403,122,570,859,854,984,559,884,836,828,880,650,750,573,488,745,599,127,579,
168,762,416,643,182,242,311,854,057,890,274,665,165,656,942,926,314,759,650,
573,835,260,450,252,711,380,714,856,043,990,898,003,503,001,942,690,839,505,
928,197,413,812,498,290,844,136,223,181,052,593,706,471,650,370,074,911,326,
299,425,818,910,145,524,173,773,717,608,902,708,119,764,385,263,311,610,637,
054,340,296,126,845,258,967,928,383,920,181,970,653,763,370,798,909,941,908,
280,645,689,461,659,670,386,923,507,378,685,058,814,757,476,095,813,864,058,
938,075,989,322,316,310,822,447,800,242,355,165,931,744,327,255,925,289,109,
989,630,346,903,010,965,407,153,703,100,499,315,438,307,853,826,261,067,398,
174,722,931,767,722,625,031,898,394,117,404,191,761,126,161,936,463,446,455,
781,864,120,245,108,545,150,586,411,426,106,630,165,100,104,894,204,124,553,
960,149,473,238,125,407,261,826,927,141,486,807,096,709,201,727,041,046,714,
181,389,713,641,417,626,100,952,700,968,896,983,432,770,590,529,807,608,819,
698,848,555,526,175,205,010,476,493,382,274,408,407,564,535,802,042,654,263,
005,797,535,837,946,535,163,675,346,920,512,624,091,690,065,333,586,879,300,
581,749,557,615,204,599,133,429,914,171,167,247,694,276,555,271,741,505,318,
921,916,707,557,223,612,186,794,124,748,471,476,199,952,777,199,136,667,503,
575,663,730,327,143,086,759,050,420,858,274,236,359,419,450,690,590,725,155,
901,401,407,751,889,301,100,895,007,738,364,489,373,985,148,405,049,879,534,
252,030,388,236,227,602,965,755,543,007,835,293,252,550,905,534,993,551,837,
718,265,372,203,588,478,213,633,719,107,703,012,587,225,687,694,606,027,317,
103,495,597,022,762,259,486,791,538,486,233,615,447,738,013,718,183,404,858,
948,377,903,924,467,137,203,618,050,941,481,046,753,575,793,962,400,148,815,
036,585,217,249,827,349,016,312,263,188,280,287,535,407,447,309,447,862,636,
174,412,699,855,154,046,640,083,361,898,368,832,592,939,050,393,380,249,081,
847,134,807,456,032,849,968,363,400,377,041,111,750,309,755,988,308,601,023,
504,352,049,917,447,370,853,724,589,052,011,333,847,699,381,444,257,784,880,
221,124,027,869,174,732,374,971,986,640,970,752,799,310,318,270,586,735,324,
336,360,057,424,727,056,798,781,485,836,786,875,087,107,083,539,533,560,965,
948,999,474,326,109,841,444,228,125,095,191,986,510,107,338,910,762,674,530,
039,707,811,837,078,428,273,807,264,952,275,410,317,258,250,650,188,472,580,
545,681,101,595,058,317,651,090,632,792,275,213,758,250,819,403,507,063,699,
996,846,512,293,824,394,274,854,770,991,355,132,973,609,028,954,981,848,621,
819,942,874,438,063,910,408,003,690,993,126,393,556,032,549,772,200,801,559,
922,062,692,302,193,951,879,630,127,072,655,304,191,139,564,274,435,808,371,
202,871,618,873,749,944,580,919,309,678,893,314,896,625,738,624,406,818,652,
343,981,620,974,108,757,286,144,597,231,269,035,721,949,138,305,923,849,705,
218,148,432,080,407,623,371,260,507,788,826,952,672,431,893,111,549,704,229,
671,251,003,461,556,841,894,601,810,949,424,941,687,832,979,699,158,666,464,
004,018,553,141,835,899,205,379,309,190,039,578,407,881,035,839,137,783,836,
622,563,711,675,843,670,646,745,760,520,347,800,479,916,294,232,822,870,902,
955,145,145,613,846,238,668,075,451,428,926,227,206,694,602,783,670,706,404,
765,262,624,917,386,118,381,829,213,270,488,039,062,678,832,074,609,027,737,
918,849,044,169,168,793,539,701,047,313,803,189,558,830,431,485,218,825,263,
201,242,311,829,493,907,237,457,962,053,186,243,213,603,815,329,734,494,626,
998,395,318,466,559,765,969,036,804,496,551,055,689,820,177,640,539,379,059,
044,858,055,996,147,529,839,705,604,345,768,966,850,643,518,886,430,387,819,
708,119,664,207,807,703,046,563,476,610,309,434,209,360,455,837,134,969,396,
921,111,671,566,933,353,775,805,048,231,974,422,996,902,690,474,730,145,155,
032,303,723,686,572,837,094,208,120,876,189,280,181,249,500,254,830,810,149,
571,958,631,266,578,411,109,186,932,885,496,040,162,167,732,175,943,224,147,
372,883,495,526,995,715,604,560,718,201,914,792,879,067,407,695,931,662,584,
053,367,783,026,775,346,393,669,537,349,644,090,004,451,778,718,317,000,040,
184,022,552,341,135,700,424,503,477,802,159,215,394,724,010,936,309,687,602,
992,327,562,733,696,231,396,191,990,547,614,617,215,582,067,462,436,242,068,
079,517,045,952,926,169,940,178,185,367,237,982,097,914,130,071,180,897,212,
197,693,689,182,122,474,588,820,212,287,899,937,879,519,710,146,817,305,780,
326,081,999,789,296,090,861,921,838,175,736,005,849,766,975,940,866,931,211,
926,805,591,794,882,101,766,168,118,983,204,591,429,066,579,922,527,872,123,
158,191,498,669,633,565,366,165,934,130,615,103,412,758,430,688,533,788,194,
168,325,402,919,784,651,441,231,538,994,057,407,074,566,454,149,309,008,799,
352,916,414,067,446,976,253,208,300,293,156,738,305,324,512,466,196,142,886,
242,858,823,557,203,690,348,293,447,273,030,876,960,175,266,776,375,232,136,
792,030,145,670,631,640,204,140,783,621,083,652,645,616,032,758,712,565,971,
488,226,005,776,237,753,257,891,283,292,677,540,281,312,951,082,551,856,874,
527,115,344,101,173,429,508,226,704,086,843,136,980,580,239,280,233,830,801,
496,548,832,481,838,647,437,479,624,232,735,313,368,729,304,893,813,560,012,
671,367,303,030,777,299,418,574,967,189,825,394,524,024,645,344,561,908,666,
814,032,731,907,614,073,913,875,110,397,723,543,613,910,280,019,332,314,685,
759,935,333,693,592,357,397,287,759,579,759,211,591,743,226,262,203,887,395,
842,898,030,056,539,808,687,177,900,323,258,962,432,640,739,405,735,545,343,
098,035,639,359,282,259,324,153,128,618,227,207,117,355,814,745,884,701,368,
301,272,865,846,711,223,951,099,330,414,854,046,008,614,396,153,674,679,592,
897,167,926,922,443,560,306,834,028,203,069,810,557,490,314,142,186,910,613,
786,842,118,626,620,314,876,404,152,894,986,700,192,833,287,726,473,958,264,
169,275,506,653,265,015,546,878,498,439,585,553,225,217,377,944,276,224,566,
254,519,927,015,916,250,018,821,436,458,774,486,591,044,038,536,906,507,541,
261,839,939,000,236,418,653,485,022,716,138,599,258,315,171,783,567,100,564,
154,419,588,851,435,869,995,287,414,454,406,541,061,325,036,901,116,329,449,
892,046,549,225,631,592,057,949,028,832,719,486,980,953,003,857,802,770,306,
521,870,252,668,507,698,495,985,255,485,595,103,713,613,425,799,221,591,177,
271,146,310,087,223,640,334,430,598,425,405,810,449,351,692,919,088,277,353,
760,303,503,910,804,598,562,169,392,924,539,679,175,591,399,632,277,646,491,
205,069,660,666,832,119,642,675,322,500,312,987,519,520,551,879,110,297,224,
873,519,971,721,120,119,528,353,973,580,481,291,979,911,971,849,466,079,837,
253,243,472,387,985,799,287,717,934,776,553,937,858,687,986,597,809,189,771,
990,738,643,891,914,389,150,861,407,527,071,703,248,914,852,899,691,409,681,
296,121,645,049,301,923,102,690,730,717,020,290,944,239,305,906,671,334,487,
368,927,945,503,993,052,741,361,090,500,204,513,377,411,384,659,503,376,516,
272,503,909,416,465,866,448,962,705,792,943,939,616,299,871,405,337,188,524,
994,168,850,448,321,136,151,206,845,896,365,455,086,260,076,374,130,154,684,
134,219,069,145,437,138,594,927,799,586,637,141,694,253,915,902,063,837,893,
292,808,505,722,058,301,056,427,228,197,928,390,134,331,006,506,337,414,269,
322,220,685,634,966,635,103,553,998,468,573,373,204,948,944,641,773,971,526,
825,910,697,251,669,857,188,136,394,074,798,782,158,604,679,409,284,065,079,
745,720,060,664,583,164,972,009,422,339,507,590,730,248,258,320,706,157,053,
174,852,724,529,143,469,243,158,784,974,252,345,122,838,676,186,211,159,561,
642,756,836,615,106,636,244,180,218,646,695,521,656,851,483,256,354,892,372,
095,881,284,572,675,547,172,361,507,769,316,530,890,469,005,161,043,956,006,
162,144,118,576,726,031,520,885,669,926,360,896,385,623,180,811,162,484,176,
672,739,429,361,608,692,952,566,255,255,552,179,916,598,547,269,456,015,381,
073,957,391,415,611,573,111,349,543,058,742,750,504,035,545,665,689,110,933,
466,668,357,264,762,627,050,464,844,673,569,041,287,138,374,281,966,375,251,
676,649,807,500,692,962,984,776,206,979,796,956,265,224,466,773,365,155,534,
687,169,228,851,151,674,412,415,947,968,187,916,712,280,088,616,378,983,470,
426,559,845,573,701,331,922,283,085,714,089,975,745,851,891,289,666,196,504,
429,816,073,902,451,038,339,487,121,488,540,314,681,247,395,147,936,327,169,
117,353,668,492,607,591,954,867,192,182,270,358,639,860,939,964,247,268,569,
097,365,761,757,062,423,371,584,047,770,095,487,670,155,398,869,318,156,267,
606,333,754,418,736,799,405,901,355,853,572,428,518,913,116,775,122,727,534,
610,211,115,864,980,331,453,535,331,400,714,661,354,374,218,262,421,882,292,
810,297,724,686,517,482,451,022,552,581,315,449,697,871,421,825,285,204,185,
073,009,508,848,361,524,353,486,813,397,789,485,332,735,170,528,373,832,657,
504,759,691,098,785,966,377,524,592,195,954,319,025,135,913,773,153,355,647,
277,227,802,554,020,596,842,165,443,621,032,756,997,597,954,601,233,690,465,
523,775,501,875,587,379,998,585,675,721,221,837,360,753,381,503,135,155,617,
648,081,748,855,290,137,279,690,226,489,036,066,561,789,078,316,994,701,555,
935,134,787,474,158,674,432,940,645,969,155,456,062,104,315,603,120,401,507,
717,880,349,844,097,300,269,663,739,374,661,991,745,981,548,164,368,126,942,
507,845,915,298,403,597,529,665,627,267,999,107,585,377,148,019,606,310,484,
340,455,378,330,410,842,048,166,778,481,463,017,016,863,823,334,090,609,194,
311,042,934,640,830,957,498,629,188,526,657,525,145,505,304,835,313,020,880,
800,340,662,398,947,315,523,668,310,181,662,062,253,624,212,314,962,014,738,
295,379,846,401,396,563,106,868,859,110,381,298,321,015,864,984,317,263,441,
735,692,427,330,682,518,808,151,377,437,942,750,538,236,858,309,555,052,386,
128,530,464,801,246,728,621,835,924,427,401,058,755,430,196,318,451,347,162,
294,995,029,343,723,878,550,396,757,558,250,223,784,068,183,610,368,803,440,
489,118,290,028,983,415,242,090,341,389,085,838,153,931,508,674,561,778,753,
401,571,217,154,113,407,381,550,832,047,389,335,558,051,981,521,109,052,438,
357,937,915,854,547,216,893,635,198,096,413,979,197,372,790,985,089,007,714,
317,261,368,116,054,808,381,978,173,641,278,744,242,721,863,125,680,429,166,
968,820,810,019,221,237,205,939,097,849,675,726,551,878,848,006,391,511,237,
060,407,405,575,854,710,836,492,884,500,881,253,936,305,477,487,152,877,746,
848,264,918,713,404,947,272,166,605,179,528,633,288,544,835,747,119,630,610,
265,133,278,118,270,348,472,907,367,758,617,438,189,002,958,660,327,846,949,
103,226,083,894,016,607,760,902,637,057,741,154,224,405,758,230,815,043,483,
203,783,889,922,785,111,873,140,327,766,324,245,015,802,329,653,883,825,496,
477,929,339,650,826,915,673,806,934,648,496,906,852,997,295,947,915,840,055,
617,970,574,175,896,675,729,975,860,000,903,493,904,218,138,405,240,189,273,
704,509,240,835,025,208,351,956,422,156,995,022,566,678,699,732,310,436,809,
263,765,580,942,531,418,668,804,332,896,381,702,907,820,005,348,151,714,592,
968,588,903,052,081,960,332,553,254,074,088,447,021,872,090,249,131,782,032,
486,739,681,637,453,338,506,175,332,546,588,229,296,774,566,781,366,394,318,
590,219,753,630,030,400,506,958,031,314,488,889,177,118,139,854,496,725,563,
525,583,189,948,065,481,843,501,622,701,982,304,372,147,002,371,308,992,375,
751,361,721,921,988,668,429,093,553,992,847,199,582,530,177,546,623,957,310,
621,960,874,750,757,893,081,873,516,506,888,519,195,583,766,534,790,523,358,
982,243,988,110,649,180,091,439,814,425,671,936,824,214,799,963,157,925,220,
975,652,484,270,151,784,750,680,457,846,946,766,129,526,726,584,541,720,677,
469,284,228,434,376,814,089,595,568,233,802,300,545,559,417,717,917,896,893,
513,645,635,858,123,754,841,713,372,913,005,881,181,124,241,432,556,516,524,
111,270,823,083,843,645,020,425,126,086,529,215,309,946,744,256,437,347,131,
871,964,150,276,831,716,160,690,389,792,674,884,678,754,981,984,257,715,557,
014,199,725,522,985,790,251,580,101,692,627,585,304,997,516,197,395,862,920,
929,574,263,954,145,655,710,878,478,901,628,326,984,856,255,864,523,226,863,
509,036,446,168,669,208,941,871,456,842,528,351,924,002,244,602,422,701,530,
823,227,937,136,908,426,956,904,714,797,639,701,734,652,808,618,783,265,994,
865,915,778,373,275,566,355,642,635,900,010,795,389,444,354,485,999,960,610,
747,926,785,279,774,386,761,736,739,847,417,967,767,631,891,950,259,812,975,
383,592,300,934,058,516,454,293,809,056,582,322,041,655,580,755,796,734,242,
978,601,016,322,384,106,816,343,695,320,578,670,233,307,515,596,738,195,094,
840,598,236,473,791,683,416,128,045,581,220,043,916,550,127,419,628,974,266,
270,651,718,174,978,604,055,742,233,179,515,761,858,217,395,747,068,711,607,
437,295,605,499,161,959,214,232,785,152,993,643,368,118,509,491,053,208,295,
147,348,380,943,392,160,559,778,505,965,891,773,796,499,940,210,827,323,606,
473,152,952,927,971,758,237,049,468,989,790,430,910,217,382,748,185,246,476,
740,691,976,969,014,350,133,442,237,859,489,982,372,172,991,337,917,103,238,
445,543,278,698,521,610,385,582,557,091,693,213,265,177,625,643,070,609,153,
230,085,082,245,043,432,193,211,433,499,581,026,173,181,765,972,461,541,270,
780,438,113,626,097,061,557,207,474,882,927,079,091,947,071,796,896,099,642,
846,120,308,134,487,124,401,705,908,098,647,009,044,793,081,320,727,814,345,
133,577,328,033,868,056,211,253,279,210,655,869,170,004,108,579,826,616,303,
852,029,289,748,219,633,247,091,734,766,076,770,834,205,622,953,513,464,230,
540,999,870,987,034,425,289,595,187,676,714,345,745,853,357,345,469,119,790,
391,573,269,824,048,648,158,020,425,634,288,601,232,779,416,598,796,299,564,
441,493,366,667,396,762,997,599,467,034,629,223,963,762,764,930,043,248,419,
925,907,973,145,294,908,653,377,451,802,982,056,786,984,276,728,225,238,877,
034,427,486,341,730,062,117,564,060,704,772,563,302,438,856,017,897,086,687,
006,245,703,143,389,146,496,996,041,935,665,930,844,702,839,622,212,708,103,
405,596,067,320,792,962,159,680,283,157,949,550,437,753,569,186,048,611,769,
165,925,001,786,909,872,740,821,807,810,458,905,028,104,122,619,493,351,343,
811,125,459,433,339,360,952,942,344,999,674,118,982,712,017,074,649,132,247,
543,439,829,123,189,994,721,518,162,247,046,468,582,404,834,881,663,560,086,
400,613,124,989,882,456,703,661,264,993,164,618,059,740,540,079,605,003,654,
642,964,345,319,047,551,493,088,648,497,060,978,036,319,618,907,228,543,972,
799,955,589,726,816,032,121,666,033,400,396,374,459,136,014,589,839,715,968,
051,027,003,708,422,403,524,348,205,265,854,497,822,895,185,037,452,411,734,
296,465,911,693,494,849,087,945,752,501,996,172,298,258,080,980,300,325,842,
594,233,805,866,050,212,753,463,097,351,912,006,747,373,266,502,203,897,049,
069,390,881,448,308,380,166,207,127,737,620,159,415,508,018,606,197,035,648,
835,318,931,171,886,316,096,716,893,479,626,086,372,794,351,921,036,876,422,
216,603,439,965,693,117,712,663,578,772,402,875,519,544,872,844,804,618,928,
792,955,925,242,667,061,174,280,169,469,245,971,299,925,252,066,763,696,685,
319,379,499,617,286,219,559,659,888,181,823,894,766,859,469,181,191,982,021,
476,574,953,086,223,920,660,237,212,099,368,304,826,181,909,181,944,208,812,
735,420,706,409,694,788,271,568,090,881,670,708,452,347,814,296,688,326,556,
100,443,830,247,834,889,578,085,973,991,736,867,628,923,255,771,922,593,633,
687,334,519,098,513,081,133,351,556,583,140,325,671,879,214,283,452,471,319,
392,410,273,559,972,988,139,616,832,708,104,341,091,629,601,701,233,003,099,
435,456,895,967,102,738,266,763,153,728,401,048,425,794,890,707,829,101,719,
432,161,402,570,478,389,312,200,689,300,092,792,684,109,874,094,405,037,955,
955,633,977,257,589,027,213,558,686,605,026,079,875,651,609,357,716,293,914,
247,257,118,358,056,801,412,764,217,877,830,524,198,056,427,718,442,800,843,
719,212,689,243,332,816,795,823,455,492,202,722,101,226,019,463,807,800,776,
118,489,200,101,163,560,392,532,125,253,581,871,867,438,834,455,296,549,178,
292,963,688,677,436,528,516,631,734,315,525,533,203,695,868,535,677,887,202,
380,527,052,158,103,111,066,941,698,906,861,084,592,369,333,823,847,441,401,
761,052,069,287,797,177,767,059,748,920,511,577,957,219,109,562,328,682,010,
905,859,241,915,046,047,026,546,228,136,573,094,718,246,473,550,594,074,232,
788,660,251,332,780,390,213,304,869,946,288,553,515,985,808,024,525,485,792,
529,441,853,198,348,143,569,876,804,206,468,746,108,205,670,165,915,639,379,
466,386,597,427,456,035,529,444,613,185,962,630,392,328,532,474,508,262,449,
812,008,037,180,285,559,426,917,220,382,297,874,984,402,645,072,696,758,578,
283,542,686,404,784,562,065,230,047,004,415,221,139,567,702,414,359,697,907,
192,343,521,579,495,215,016,348,042,873,943,944,104,034,290,851,026,809,527,
487,951,580,487,602,341,655,457,635,247,870,768,511,698,042,395,181,442,223,
947,390,731,471,360,052,530,790,631,991,902,027,638,467,520,300,915,179,510,
474,942,742,979,281,676,266,774,692,608,568,410,958,582,882,480,671,764,057,
413,393,236,889,909,761,191,622,516,597,904,016,789,844,796,514,686,300,334,
449,765,255,058,055,841,427,370,354,752,770,820,351,253,100,184,826,703,369,
402,187,267,922,896,121,795,750,798,107,420,680,297,984,833,244,904,350,378,
504,038,433,360,796,034,320,695,183,634,223,880,955,025,711,011,508,120,761,
097,081,885,759,180,709,332,010,028,802,378,086,008,226,056,241,346,771,303,
789,642,808,136,333,953,885,963,696,057,782,929,108,669,176,724,635,315,862,
276,911,759,982,740,912,450,850,827,646,911,887,645,732,577,220,053,265,121,
913,227,927,797,619,647,825,070,256,735,229,128,783,880,392,092,064,282,484,
184,640,264,832,519,121,777,196,775,909,506,902,870,269,148,175,555,185,322,
893,807,081,704,310,517,610,228,406,624,070,379,859,308,018,031,477,446,322,
780,163,688,476,903,049,871,176,217,046,860,022,833,954,257,915,404,983,123,
157,234,331,612,911,016,157,131,075,127,231,076,973,800,393,289,221,341,561,
269,729,823,166,072,075,885,547,216,201,976,193,416,286,377,137,867,804,024,
114,077,214,099,199,425,590,004,075,052,935,120,314,132,576,414,281,043,374,
324,513,160,727,339,046,113,047,070,729,181,730,349,343,913,828,851,481,593,
761,406,062,593,642,514,772,525,563,897,468,573,490,506,391,022,179,157,981,
555,472,302,859,331,224,113,826,118,750,003,058,469,375,622,037,940,754,974,
113,127,342,423,838,979,685,795,307,140,560,632,454,467,293,531,170,925,593,
065,340,787,405,566,983,393,105,427,885,023,278,357,584,419,162,011,783,987,
856,494,315,493,200,736,232,492,115,473,250,910,431,850,874,362,903,923,834,
506,284,666,721,338,708,341,412,939,632,302,762,397,237,622,514,694,733,292,
838,866,242,359,277,975,328,037,405,316,477,286,852,948,390,061,519,375,329,
704,684,554,249,775,050,010,572,583,496,501,201,595,429,965,503,394,101,057,
240,879,497,367,440,766,910,758,842,641,988,505,516,294,263,760,367,276,717,
259,516,207,715,268,252,956,134,803,069,518,708,393,174,265,771,486,960,281,
424,491,599,293,109,016,893,250,849,468,687,198,342,801,845,630,744,341,059,
675,462,265,932,462,628,583,558,944,083,043,720,316,309,765,816,296,398,698,
658,022,220,210,553,826,674,899,232,891,530,915,512,588,940,352,613,278,939,
982,762,873,061,562,667,023,181,950,921,594,609,513,386,860,401,287,420,215,
527,180,714,952,019,592,983,893,548,550,189,915,835,395,702,826,129,977,799,
619,255,852,812,760,680,650,814,128,172,781,894,595,101,216,560,250,246,487,
075,026,739,272,689,644,114,723,458,942,563,716,229,162,979,992,413,727,083,
249,673,205,155,737,315,827,668,627,147,636,726,686,440,760,763,502,070,795,
597,575,646,284,528,992,151,354,068,161,658,483,179,344,961,479,568,781,900,
459,838,112,709,828,826,752,220,522,030,864,023,054,542,839,375,448,967,465,
425,398,974,603,720,057,537,041,523,048,847,643,030,378,671,471,256,789,069,
779,880,732,764,918,593,762,620,864,912,209,266,055,302,449,522,743,499,316,
410,519,643,226,202,238,254,535,700,392,839,736,781,806,963,065,702,780,459,
751,709,742,517,592,129,710,891,008,197,232,370,503,664,822,901,700,846,900,
362,644,731,768,385,047,490,043,173,698,160,163,085,314,531,010,251,763,191,
049,564,825,877,469,974,103,732,467,634,612,595,071,727,556,389,800,997,854,
829,767,853,911,084,584,263,868,764,974,410,262,982,628,494,899,001,204,814,
840,098,035,892,893,148,744,404,624,632,421,960,134,000,214,203,020,696,770,
777,863,880,305,049,184,064,496,486,607,336,969,079,493,417,789,065,564,394,
640,196,650,236,518,137,768,647,488,137,027,693,370,752,183,783,003,056,678,
494,503,794,976,922,602,760,579,479,920,747,808,186,157,061,251,111,119,398,
767,177,156,215,205,727,997,102,713,852,492,054,109,032,832,200,465,539,812,
307,678,388,361,801,609,091,312,177,616,842,056,883,103,316,103,542,818,080,
212,675,030,270,977,070,186,806,801,769,345,610,378,952,656,748,290,226,795,
716,102,681,076,239,941,911,134,278,430,581,634,918,138,395,192,393,474,508,
289,103,341,037,619,415,524,573,913,290,191,802,351,284,531,951,776,057,959,
677,154,234,548,584,252,677,972,637,369,524,456,509,672,589,815,996,252,431,
949,695,711,256,098,156,552,374,869,498,525,253,402,020,046,883,858,933,882,
738,102,158,915,678,724,414,053,497,210,725,824,743,951,126,609,291,929,784,
271,993,293,121,837,500,441,247,957,551,330,997,034,684,483,844,062,462,147,
926,226,810,462,789,954,771,159,556,192,315,130,840,928,228,640,708,753,763,
608,871,615,989,359,734,529,652,387,185,603,756,730,526,540,461,896,235,542,
399,197,774,148,150,183,845,950,136,123,356,919,446,510,752,923,695,920,577,
002,059,448,202,133,804,080,483,380,925,562,173,929,220,114,193,944,128,434,
249,704,149,642,805,370,779,017,783,998,600,538,540,575,013,246,245,323,003,
897,281,145,891,416,375,053,116,921,181,019,329,417,274,739,907,772,984,196,
517,832,147,928,597,334,229,386,020,088,944,593,255,462,391,959,780,735,342,
216,430,954,644,594,518,703,877,725,507,139,352,568,355,739,168,317,943,855,
386,558,162,602,637,024,362,048,248,102,504,102,872,482,626,391,834,097,678,
540,884,209,590,489,738,499,236,546,024,310,100,204,268,568,042,420,986,773,
318,120,875,982,247,350,576,798,677,661,465,261,624,680,456,757,618,853,152,
783,140,539,016,542,968,075,171,486,082,102,556,060,033,786,044,803,174,272,
181,442,677,336,708,505,547,659,330,541,740,676,283,647,820,090,846,943,180,
172,130,612,991,727,454,164,606,919,417,022,933,566,769,543,266,520,520,484,
555,664,035,988,030,989,671,644,123,258,716,240,811,200,541,625,353,165,050,
513,315,905,863,887,647,303,811,259,255,239,755,361,191,642,375,094,444,989,
587,454,499,207,665,349,258,695,484,125,627,678,653,749,941,026,372,068,862,
337,247,567,706,174,352,298,567,040,003,667,669,598,911,854,398,974,151,426,
020,482,375,023,311,374,401,127,017,445,450,303,554,228,157,082,155,030,847,
158,079,194,325,764,937,783,137,074,551,366,397,461,145,460,681,043,594,417,
424,542,936,460,943,494,561,950,564,660,309,745,205,385,190,580,060,282,086,
398,957,827,940,021,695,019,671,240,038,608,292,123,859,903,635,094,295,116,
767,429,331,149,792,082,083,405,564,312,915,336,552,567,563,006,386,659,662,
499,107,138,569,548,178,251,195,413,274,243,326,574,462,997,503,087,105,442,
267,446,726,293,777,333,078,870,779,840,276,185,573,143,739,900,887,653,091,
051,383,011,808,362,579,769,944,835,433,246,083,168,371,951,886,366,423,870,
731,539,553,193,726,187,242,139,096,930,144,062,659,679,765,519,705,623,752,
413,644,521,538,571,186,373,362,794,535,680,083,583,741,001,145,478,606,695,
933,126,394,544,681,991,549,394,397,906,565,263,578,129,199,889,024,332,039,
543,458,931,422,183,139,144,032,892,296,726,659,916,234,206,136,563,902,567,
662,722,739,859,171,669,281,121,252,406,522,666,734,342,965,640,718,384,957,
831,613,860,643,382,594,345,854,953,263,008,403,009,675,225,232,169,473,086,
972,717,295,558,029,031,660,475,559,521,709,607,204,367,996,404,386,938,815,
616,633,320,640,715,265,861,841,574,485,522,782,958,971,149,964,130,855,477,
560,488,202,637,093,616,340,784,080,303,984,052,237,124,823,191,916,034,599,
384,914,951,868,529,593,714,628,111,009,025,966,380,564,427,855,165,492,202,
525,843,248,823,395,140,722,755,869,594,393,350,432,368,726,424,777,452,941,
298,462,430,342,032,026,126,160,974,989,950,759,136,381,279,933,351,338,469,
456,221,265,480,069,659,648,342,399,715,010,137,206,213,433,272,798,873,839,
113,028,873,006,494,130,936,539,370,948,348,947,817,991,286,219,283,578,906,
471,803,263,532,785,225,359,425,223,157,733,888,800,052,920,360,333,793,417,
567,257,920,017,637,324,513,018,908,710,943,072,185,393,897,340,438,898,503,
035,390,689,895,694,812,493,273,006,666,068,196,613,880,807,145,504,756,759,
324,999,370,169,062,796,420,176,923,075,398,733,139,627,803,365,884,467,492,
788,775,921,247,440,908,692,968,882,690,985,247,982,290,217,027,566,872,487,
868,833,433,466,510,273,953,564,397,725,413,279,677,937,443,535,888,106,240,
192,755,752,950,330,183,754,070,865,638,477,603,460,896,935,911,219,430,261,
063,282,610,440,368,978,623,780,561,092,383,266,922,020,811,665,214,828,434,
941,701,346,596,242,568,484,639,972,504,533,194,227,385,244,001,411,100,499,
845,188,031,925,100,347,360,714,342,107,604,008,132,052,789,599,076,842,310,
243,871,708,482,885,296,885,392,940,512,472,557,382,571,671,061,779,824,145,
777,306,684,200,371,936,916,492,160,906,136,934,267,132,813,336,364,417,931,
974,996,448,777,546,678,063,562,814,495,247,555,866,705,792,226,464,837,451,
003,886,266,671,144,121,565,754,748,662,049,227,290,611,947,923,772,571,038,
895,199,864,226,188,625,601,444,073,071,348,785,924,711,041,648,152,841,326,
645,782,317,901,637,710,761,496,768,191,896,625,421,885,673,652,630,046,538,
866,812,632,505,880,486,553,054,326,778,577,704,494,955,458,146,709,940,550,
654,510,256,648,139,191,225,861,818,493,272,794,329,487,138,639,014,009,150,
352,173,251,670,264,044,271,162,443,017,183,378,608,902,670,831,498,723,289,
906,047,944,746,596,061,166,431,653,807,911,718,051,751,440,257,796,118,258,
704,186,891,214,377,023,445,527,810,515,987,590,192,256,666,608,520,281,084,
241,276,001,815,220,196,939,497,736,575,810,969,470,158,487,296,833,860,469,
844,215,142,082,583,197,631,851,516,172,626,740,354,811,060,493,418,988,961,
958,915,368,582,256,795,746,729,436,160,623,476,487,471,057,087,286,856,858,
828,028,368,638,052,030,585,818,068,900,636,215,123,576,306,875,752,426,856,
673,714,092,332,509,532,653,808,643,222,341,751,312,041,770,927,080,122,309,
371,640,278,713,881,306,087,392,779,415,922,665,956,978,327,732,485,881,220,
731,586,572,627,672,575,064,118,520,859,304,892,458,685,524,267,031,044,390,
272,547,731,961,894,106,647,146,094,600,090,504,477,290,377,471,881,141,181,
346,488,218,410,740,271,680,948,210,697,997,695,301,651,643,732,620,737,610,
266,223,380,108,541,261,685,097,835,283,299,036,338,218,155,749,348,072,986,
948,665,088,207,866,236,957,263,468,814,801,225,417,082,601,032,081,462,638,
268,321,545,504,911,420,696,222,134,087,796,883,009,614,849,584,589,870,750,
285,827,752,223,997,056,644,454,672,079,222,865,555,501,747,722,511,965,371,
017,632,527,375,071,473,492,770,581,210,409,810,407,091,476,182,764,088,333,
645,492,690,033,397,425,392,337,328,712,940,643,953,372,764,841,247,606,853,
674,749,487,255,219,898,706,444,471,254,011,075,915,460,667,647,124,327,509,
117,851,265,820,979,588,383,834,390,192,168,919,816,196,974,908,250,304,071,
674,577,669,805,930,474,109,314,201,443,523,550,559,273,044,058,464,398,944,
071,486,595,567,811,995,478,206,361,676,459,831,026,300,377,390,850,508,701,
003,699,559,753,356,674,039,894,535,080,740,722,477,726,355,180,915,902,629,
532,743,598,857,789,620,441,703,662,307,935,268,985,249,690,683,409,392,109,
818,520,263,345,796,431,687,038,009,742,768,505,235,223,576,898,805,900,929,
446,480,223,852,426,645,661,007,852,169,553,909,857,218,123,466,313,448,048,
966,410,799,882,266,149,767,580,673,443,751,744,060,223,355,965,331,112,146,
419,277,219,211,409,931,979,097,045,739,552,979,937,925,065,735,192,141,022,
188,273,561,543,046,246,201,277,118,791,362,831,433,320,407,911,550,915,924,
187,825,291,228,105,811,008,952,711,698,476,017,351,529,864,822,240,835,909,
174,116,006,631,866,612,393,943,749,557,324,158,315,499,200,672,381,688,731,
178,272,635,514,330,084,906,754,991,392,694,107,441,020,601,993,120,242,214,
590,932,528,250,321,841,433,800,321,387,204,483,927,918,256,583,985,323,672,
125,488,251,954,057,740,571,343,377,016,576,157,008,676,794,990,386,658,060,
176,252,902,888,181,598,301,094,731,623,760,583,485,074,841,950,548,664,932,
813,839,282,515,507,643,880,789,221,496,014,911,094,162,949,445,352,063,067,
109,332,149,819,435,051,205,698,205,872,171,805,325,868,225,214,245,953,038,
682,315,170,905,033,967,899,977,163,864,855,190,435,779,417,168,254,524,106,
004,617,668,094,536,446,661,168,677,443,925,943,731,250,199,481,118,977,124,
265,530,421,274,340,907,672,682,070,552,824,331,327,851,403,079,668,849,675,
124,466,652,774,917,784,251,528,641,396,639,009,506,611,507,501,942,192,547,
620,314,859,195,801,087,681,348,589,482,378,957,587,561,477,393,073,389,533,
525,872,337,304,644,110,516,384,058,421,169,320,977,717,329,316,227,658,049,
196,660,286,853,582,032,080,390,992,811,673,493,425,932,468,931,366,966,911,
015,456,323,013,539,124,558,484,761,141,122,592,128,302,966,075,490,467,552,
691,974,920,797,789,887,427,892,454,297,125,775,877,985,065,568,139,538,940,
383,223,894,905,721,245,219,785,792,828,933,269,530,479,533,626,699,633,326,
672,850,817,209,401,742,237,789,197,016,442,419,025,462,270,173,010,479,922,
036,555,907,459,800,361,307,945,218,752,453,866,398,896,916,107,039,332,388,
902,772,017,225,325,838,887,677,549,639,390,945,335,131,046,377,834,601,490,
246,677,478,275,442,385,536,521,699,081,358,711,437,722,882,735,540,832,320,
661,220,793,919,014,944,415,039,361,611,810,118,798,677,731,952,945,242,101,
555,714,784,698,773,414,393,559,765,802,228,097,000,791,511,612,942,946,250,
395,118,428,737,975,167,791,895,341,029,190,989,619,296,748,724,401,608,342,
026,455,501,110,263,416,427,010,748,595,212,636,061,946,877,363,863,280,685,
131,670,798,517,724,368,880,251,080,511,682,651,324,343,666,614,669,748,485,
446,888,753,944,707,296,885,354,919,995,659,223,302,927,469,212,919,727,772,
076,557,519,127,138,887,616,732,979,719,262,219,515,922,582,442,683,016,411,
249,101,990,884,020,088,178,302,403,300,398,580,436,499,169,168,958,921,341,
235,219,365,391,912,459,317,407,384,747,369,261,858,638,983,378,562,406,764,
312,834,226,791,596,022,049,526,113,099,770,851,302,698,331,783,007,647,625,
563,477,298,680,237,055,095,545,372,921,434,375,322,135,134,818,572,120,995,
781,452,361,515,381,449,018,905,676,029,080,916,927,719,650,996,411,299,453,
933,442,667,887,492,120,527,992,039,725,789,823,259,697,791,877,764,510,858,
931,896,848,679,367,472,028,268,101,258,964,316,791,185,449,739,723,323,002,
890,287,000,177,642,717,979,560,780,804,414,723,448,759,446,762,680,690,848,
576,430,070,625,205,405,878,062,543,408,381,243,416,694,837,431,275,903,668,
267,434,034,952,606,793,624,216,611,813,972,834,097,706,825,021,036,157,582,
367,513,866,771,618,163,167,779,814,214,148,839,296,936,815,698,087,799,588,
114,100,996,977,861,605,316,696,477,823,397,580,034,542,665,812,245,599,478,
337,293,357,996,328,084,850,890,164,281,716,557,436,472,723,781,115,810,824,
941,319,481,778,691,525,978,721,644,798,741,151,505,766,937,577,120,262,852,
357,057,747,003,992,875,980,640,234,847,351,395,533,125,794,499,618,881,454,
172,884,024,195,278,495,949,282,783,359,924,202,428,765,251,032,148,088,093,
238,119,014,844,270,251,094,239,853,993,013,593,238,206,025,898,891,672,652,
703,978,095,284,764,994,857,992,119,172,176,194,850,153,337,186,921,393,725,
607,585,675,363,644,804,532,753,597,823,726,347,294,456,601,870,624,376,515,
172,121,687,680,259,195,586,869,290,280,643,621,848,435,455,551,420,699,953,
993,045,828,124,049,203,000,505,646,611,039,264,933,563,723,376,937,212,054,
700,136,321,577,778,480,109,364,433,050,200,416,637,972,138,087,416,219,129,
787,332,906,348,443,586,159,953,369,551,888,199,639,331,223,058,509,289,372,
232,237,038,933,352,764,416,328,055,527,681,243,954,813,413,012,309,673,973,
925,624,403,630,503,056,021,178,788,059,333,692,130,523,481,545,971,826,660,
147,406,098,618,776,440,384,272,858,396,419,239,602,001,378,734,759,099,155,
478,676,652,640,452,164,346,259,894,551,328,033,493,709,644,003,331,946,545,
435,273,131,576,875,846,478,428,315,254,266,872,523,084,171,146,116,027,016,
728,497,934,197,763,007,107,370,111,761,174,710,880,487,890,616,887,819,895,
275,969,193,713,967,685,368,273,614,506,421,874,607,201,032,221,535,612,798,
473,911,899,963,114,270,967,428,853,423,306,941,954,655,739,962,966,144,082,
979,526,475,638,681,601,050,268,430,717,623,125,391,399,958,972,285,354,603,
834,492,228,702,548,435,202,812,874,534,639,176,273,105,273,838,729,020,641,
770,439,022,795,131,480,139,909,183,972,390,070,315,229,655,902,371,601,461,
539,328,140,734,225,221,209,901,205,121,776,232,712,825,136,102,645,525,942,
867,398,753,995,432,437,153,677,971,719,943,747,842,479,964,631,414,382,799,
301,038,546,482,968,525,137,311,210,831,122,405,788,502,286,187,020,560,315,
920,040,157,256,465,355,106,458,839,058,832,627,756,034,451,332,747,787,063,
274,872,487,900,269,572,926,111,322,523,475,276,695,572,201,874,227,580,147,
233,119,538,419,035,189,397,857,481,930,997,889,496,447,406,654,347,258,859,
547,449,078,830,630,336,780,595,570,136,961,614,200,636,391,410,893,597,368,
686,426,635,445,997,013,727,725,112,386,563,183,324,463,974,575,852,742,046,
443,389,560,315,932,338,366,184,257,516,094,358,469,510,645,693,858,853,054,
626,439,911,862,446,342,596,260,203,633,720,013,112,485,970,819,758,685,217,
176,013,630,948,578,786,784,463,254,346,974,400,546,007,411,895,194,668,803,
282,168,975,300,317,771,160,327,866,311,351,459,043,611,238,181,388,491,115,
806,635,949,010,962,506,729,431,500,393,139,402,617,922,563,042,927,220,642,
601,166,532,060,433,131,474,996,039,579,829,949,814,127,636,431,873,640,011,
973,876,422,174,588,645,807,308,075,995,615,794,763,891,794,714,940,810,253,
895,467,288,695,902,778,970,844,693,451,658,355,791,612,121,754,634,802,024,
584,133,603,809,978,253,863,761,306,305,771,675,273,660,746,001,376,965,785,
967,186,881,852,685,892,871,323,023,228,491,176,434,281,263,524,289,437,677,
810,311,716,236,141,564,288,520,469,391,664,563,574,151,892,318,510,603,226,
818,068,612,963,587,347,226,466,462,736,558,223,372,214,305,954,206,464,020,
005,929,096,025,010,643,430,255,901,298,045,612,531,732,091,974,075,408,511,
094,568,539,346,642,904,364,516,221,926,910,388,202,549,079,049,434,395,624,
722,829,805,491,786,512,732,355,098,241,612,863,220,805,184,000,452,491,330,
010,625,727,600,765,094,508,925,281,753,132,725,626,710,516,003,725,471,541,
821,339,588,096,407,434,800,422,638,594,797,486,676,343,030,871,597,651,842,
454,311,591,967,472,698,293,345,836,929,497,903,739,737,603,291,755,897,046,
312,530,820,802,433,524,079,845,660,720,607,347,818,124,036,902,658,388,499,
905,865,119,171,812,417,273,639,375,664,735,099,614,435,168,975,269,216,952,
527,827,109,350,391,589,955,747,428,962,295,576,425,877,194,592,737,826,278,
217,655,483,221,681,125,582,901,389,637,038,888,419,211,019,290,625,077,944,
701,889,680,493,268,080,247,527,167,484,877,659,969,360,573,016,967,193,335,
238,709,637,306,896,318,223,407,039,625,788,312,648,607,025,821,268,147,483,
840,686,938,589,363,007,436,370,277,350,230,178,269,788,455,551,172,344,059,
731,694,130,193,584,612,436,732,733,505,585,481,443,600,924,926,971,553,163,
457,966,810,070,671,017,758,502,353,155,393,020,269,824,198,043,551,380,428,
375,760,774,008,723,104,784,687,496,336,365,174,991,399,210,715,984,659,827,
998,881,743,888,206,123,137,395,716,646,858,811,503,474,942,299,378,000,163,
195,175,779,936,347,273,375,876,077,401,432,698,450,994,871,883,431,738,538,
169,479,669,010,364,365,547,142,578,219,463,084,235,462,386,486,836,544,220,
203,675,471,189,283,543,844,739,031,555,817,170,619,878,455,098,851,847,621,
643,012,049,360,084,614,522,225,951,025,542,067,016,462,505,782,711,259,276,
883,805,437,777,691,531,632,630,646,760,804,217,489,902,346,580,237,870,319,
486,706,937,831,932,502,751,619,618,285,032,024,173,624,821,440,881,834,065,
726,128,905,578,156,088,667,531,920,826,884,572,004,182,870,387,182,144,757,
048,658,236,442,889,889,160,415,452,667,325,854,562,518,779,992,164,819,459,
944,224,202,137,812,150,881,003,961,193,566,091,855,084,642,621,894,964,223,
460,937,571,236,725,910,455,153,801,346,084,436,441,202,000,230,287,984,503,
216,886,914,615,892,750,529,500,907,067,730,512,870,651,697,103,474,191,025,
452,127,990,646,529,700,664,660,722,564,151,670,291,411,400,162,909,917,670,
234,812,624,738,363,753,933,066,609,022,987,340,294,296,828,819,347,598,619,
334,872,435,263,923,514,342,273,977,081,460,054,288,349,851,244,485,635,644,
785,321,774,339,332,934,427,572,618,323,703,428,471,516,600,627,952,697,116,
630,611,997,391,157,153,879,471,355,703,779,468,339,089,456,004,998,181,623,
012,088,847,434,055,176,377,121,431,029,948,870,038,689,955,935,931,448,526,
371,410,946,015,462,687,611,744,965,417,580,586,545,774,064,409,685,234,038,
103,853,478,934,141,078,462,635,824,038,516,740,846,217,732,792,882,065,904,
818,219,010,474,128,662,167,179,300,389,292,175,913,419,593,081,859,405,078,
869,760,459,032,933,638,816,252,500,112,540,347,399,815,142,823,343,671,115,
153,396,863,343,804,714,542,473,319,272,400,428,860,914,091,317,533,796,698,
115,074,544,062,190,328,646,469,978,516,546,233,550,546,252,523,800,368,394,
196,217,542,044,212,025,027,274,787,591,176,627,726,263,984,916,964,638,404,
200,676,329,594,882,930,547,171,661,194,986,767,511,255,390,665,410,826,209,
398,484,946,639,957,253,844,204,913,757,439,043,453,809,515,074,970,239,575,
610,257,355,686,646,472,140,332,773,568,751,140,143,039,817,139,611,485,307,
077,961,485,599,294,085,776,247,871,821,866,635,317,096,211,074,800,504,157,
982,032,749,622,068,971,458,904,005,912,064,487,188,303,810,302,882,279,596,
336,697,194,280,668,540,693,781,253,688,963,683,215,894,146,155,132,700,312,
403,330,588,942,089,221,730,615,754,110,439,582,148,129,102,820,207,002,508,
116,959,217,842,576,511,725,836,198,605,581,022,698,331,580,088,892,165,889,
223,428,084,736,917,319,930,945,443,060,119,955,166,875,351,631,890,934,976,
982,613,256,721,983,067,962,269,340,837,719,023,365,487,429,998,263,007,341,
218,197,571,715,013,203,976,410,766,646,869,581,203,758,905,411,540,434,831,
696,837,197,964,566,793,780,827,099,575,129,431,995,408,409,553,056,962,735,
139,608,262,111,064,751,681,379,667,691,938,840,883,747,940,113,815,533,625,
254,217,135,531,349,881,898,718,484,281,064,632,720,551,436,279,076,038,759,
852,583,347,856,510,676,134,249,316,514,267,329,915,832,388,548,795,340,847,
539,777,149,281,543,142,970,819,250,145,989,368,954,578,880,356,508,700,609,
900,768,872,619,831,662,413,200,954,954,864,961,121,473,919,305,840,642,786,
373,915,940,956,838,565,274,806,276,892,317,717,296,463,005,414,859,687,122,
332,052,695,315,338,731,362,394,994,811,673,554,555,018,107,581,479,009,175,
313,105,698,391,883,610,294,273,963,794,820,023,432,903,566,564,031,574,406,
538,438,209,703,275,877,223,693,280,221,705,623,703,008,792,843,006,859,934,
275,909,443,561,635,920,661,137,618,302,337,643,831,286,089,874,554,213,241,
723,268,435,919,687,927,002,446,018,615,804,301,447,819,158,279,068,856,395,
261,109,199,977,194,749,828,938,177,479,098,028,024,460,138,952,318,269,982,
733,088,778,990,047,468,889,973,050,270,940,005,363,861,247,997,285,552,191,
252,718,077,700,605,274,311,995,664,651,598,340,840,381,663,210,545,118,954,
986,421,917,314,835,867,422,515,668,577,234,331,776,400,598,207,341,033,654,
359,865,379,921,170,096,407,094,831,692,502,235,231,983,189,962,797,820,315,
359,367,242,330,590,704,649,112,679,033,898,299,381,762,093,911,887,032,118,
499,487,434,188,606,794,378,877,288,419,228,994,157,342,109,291,949,126,160,
462,118,566,238,423,908,828,765,478,994,455,893,083,746,563,241,479,655,102,
656,414,301,487,359,259,366,921,181,925,106,530,692,002,028,233,248,733,016,
335,267,293,748,572,922,990,624,273,362,868,104,420,687,645,829,166,112,547,
409,719,578,732,674,164,287,332,618,186,032,864,154,177,506,132,249,320,670,
835,851,159,543,220,810,812,879,999,704,940,595,874,467,357,735,114,026,450,
612,420,515,068,532,655,499,147,512,330,345,117,501,260,495,077,998,581,116,
412,506,857,837,073,948,784,260,983,824,381,250,294,332,113,007,781,139,470,
639,573,422,711,601,275,575,556,156,887,921,139,191,044,524,909,238,224,941,
140,476,375,645,703,363,157,887,423,641,930,375,380,635,658,940,151,680,959,
615,192,433,976,578,621,009,611,435,552,472,160,054,300,909,495,709,961,814,
151,813,139,548,957,812,995,569,528,352,186,374,075,996,258,923,188,076,154,
093,500,381,280,789,470,249,506,531,243,341,749,711,134,367,858,896,175,852,
476,176,118,348,951,114,435,079,554,440,903,770,404,311,981,134,085,026,434,
521,724,688,759,400,294,984,904,918,028,855,675,913,453,461,155,134,099,793,
893,596,409,703,776,383,680,282,407,451,665,376,930,964,489,516,990,160,679,
318,974,915,432,087,188,111,468,811,889,621,476,240,961,874,587,545,427,635,
779,229,971,641,283,391,847,968,744,444,139,247,255,607,691,273,516,834,488,
606,665,652,903,041,841,006,224,505,684,375,994,249,234,022,783,813,053,902,
381,036,785,987,458,158,533,160,795,570,240,644,488,016,090,905,954,169,582,
265,127,433,014,497,559,439,158,540,809,277,748,218,464,598,941,570,652,142,
342,516,929,443,800,465,102,701,951,804,352,404,769,070,281,082,538,787,284,
341,710,428,733,167,675,250,542,217,398,379,155,043,377,712,111,668,195,017,
143,194,403,911,984,671,513,594,311,006,582,311,358,224,941,820,242,809,368,
541,481,652,948,594,425,727,762,193,746,535,823,870,289,576,776,329,858,563,
114,831,345,197,581,385,933,326,513,755,621,617,539,701,959,936,913,412,394,
432,348,689,502,078,772,981,202,718,293,506,782,734,975,725,969,032,497,583,
985,596,161,666,007,040,852,523,347,255,044,755,584,768,704,504,816,451,176,
486,970,266,837,394,806,694,130,663,565,127,930,284,676,347,543,515,598,486,
305,761,638,591,278,588,553,940,326,273,864,699,636,778,841,208,836,110,088,
902,810,263,580,548,770,573,588,585,321,375,586,805,034,232,176,896,826,913,
647,936,277,730,163,513,842,480,533,053,252,641,809,834,102,334,755,213,767,
634,675,614,206,206,876,579,183,193,906,482,879,845,652,775,692,144,654,429,
077,136,419,368,660,362,104,336,972,606,705,108,255,751,212,926,258,795,529,
718,266,556,737,561,880,916,694,212,051,428,460,600,205,428,467,988,522,088,
191,145,891,185,283,567,283,041,697,155,722,078,740,911,555,359,633,286,142,
597,781,579,260,241,385,803,819,746,449,806,902,114,870,126,429,595,107,444,
573,197,922,503,526,056,160,690,877,030,396,881,229,292,538,638,316,114,385,
216,020,853,381,277,056,011,532,309,780,806,527,849,795,550,160,849,161,273,
008,861,671,229,984,085,458,129,633,395,448,031,757,943,217,821,838,365,341,
041,323,203,284,057,887,452,255,576,015,329,287,514,832,635,751,113,817,195,
870,663,121,916,036,867,282,328,393,079,603,609,701,163,120,649,182,409,711,
701,203,689,268,873,493,337,956,614,127,622,758,917,237,954,073,595,018,618,
113,096,989,860,462,654,662,857,552,258,624,356,097,717,658,105,542,886,123,
671,188,335,084,292,581,224,409,396,151,400,296,745,748,896,078,610,206,034,
133,569,945,947,332,143,076,387,625,312,954,275,147,767,122,666,746,900,311,
998,600,992,139,083,636,934,630,795,922,451,219,006,512,100,551,256,471,320,
601,878,477,309,941,529,932,103,283,175,307,895,188,529,926,860,395,742,181,
138,859,135,199,007,728,649,678,052,207,305,765,522,211,924,080,223,815,630,
812,176,438,725,977,204,507,886,069,225,320,306,384,780,009,709,462,892,746,
066,186,358,939,314,810,830,269,726,498,160,852,053,759,878,899,079,025,604,
229,555,205,340,600,048,556,455,243,319,254,546,442,817,307,148,367,424,404,
956,064,222,502,640,424,049,485,715,777,343,304,488,952,636,368,730,310,046,
194,840,794,177,616,820,924,581,344,465,314,573,197,669,516,619,157,885,117,
271,074,113,276,495,554,334,652,506,196,967,097,751,594,203,265,318,322,424,
117,514,779,237,956,249,588,332,683,877,045,071,355,656,524,193,272,332,813,
034,931,212,178,669,802,060,942,420,757,167,827,281,213,302,987,245,621,949,
312,603,584,196,864,394,057,830,402,931,688,789,315,974,120,051,623,312,224,
963,436,432,208,883,615,767,933,277,125,840,163,943,094,564,210,115,994,955,
080,898,088,701,389,880,949,749,392,202,552,861,270,965,277,015,725,169,914,
791,988,085,909,525,083,967,189,912,366,378,364,904,453,476,154,672,147,894,
662,799,064,943,076,384,280,875,878,824,185,320,745,180,580,660,479,812,039,
265,220,243,580,297,999,472,132,618,517,653,660,922,008,901,553,742,844,021,
733,134,556,539,954,555,462,173,111,536,041,343,874,247,444,228,831,823,132,
813,136,671,451,402,510,200,267,110,998,042,891,612,696,248,648,215,663,880,
405,564,442,895,679,994,717,459,894,452,175,216,142,161,670,176,326,742,473,
097,986,189,811,415,020,338,381,135,594,293,170,766,993,595,082,222,361,055,
650,222,144,733,585,607,674,794,402,200,966,861,656,301,020,165,944,568,837,
559,585,231,461,154,049,521,415,016,282,057,082,622,238,142,279,514,658,399,
947,192,895,651,624,890,253,220,095,716,920,794,305,979,925,185,730,307,479,
266,206,616,131,528,143,365,860,659,651,315,181,160,405,855,656,152,935,686,
324,495,637,528,741,006,760,146,133,363,217,453,573,352,395,930,520,056,059,
476,234,305,744,260,897,529,822,867,718,021,967,117,558,539,598,506,176,782,
636,244,826,508,770,868,900,354,367,250,104,835,031,436,933,289,592,774,977,
839,324,145,658,354,631,259,979,663,795,957,534,051,891,859,302,726,905,190,
115,944,215,985,753,706,061,523,653,784,187,823,513,163,719,128,899,600,884,
279,890,251,297,397,023,838,614,853,119,660,409,009,687,380,489,792,567,671,
024,669,232,228,535,578,987,805,678,341,435,989,058,262,991,586,558,042,172,
083,688,558,622,728,870,987,898,960,756,937,283,447,573,054,886,016,770,958,
909,861,306,369,681,368,920,724,224,549,522,278,672,767,864,083,226,198,784,
757,019,313,895,041,465,436,436,273,869,055,288,112,731,521,072,839,883,766,
780,871,629,510,935,790,785,202,314,670,083,859,553,876,505,632,988,792,103,
542,087,708,591,523,789,853,388,747,654,128,315,880,073,281,609,595,902,164,
160,330,572,020,507,372,107,780,826,746,094,112,860,726,684,895,951,376,608,
301,906,499,813,283,933,514,338,166,156,922,161,491,972,462,677,464,064,871,
886,142,307,235,394,881,183,345,616,492,816,208,213,501,559,360,762,259,415,
456,974,011,474,594,949,194,921,423,488,913,016,252,645,641,211,341,752,046,
714,023,770,410,013,963,499,558,187,850,128,704,521,134,245,834,618,096,648,
687,233,114,707,902,926,909,019,004,185,761,443,128,350,759,397,314,216,971,
903,857,600,440,272,434,233,314,905,400,845,279,271,742,835,192,026,568,820,
525,341,503,708,337,005,339,570,560,464,019,053,613,266,508,281,059,457,621,
249,704,654,246,428,185,386,670,927,812,924,730,306,217,526,758,696,319,641,
239,572,544,500,630,783,323,695,822,307,490,406,415,756,404,470,127,913,116,
862,112,880,196,324,269,652,523,102,144,815,296,723,512,522,442,259,782,112,
226,350,458,219,800,455,602,404,466,665,577,050,729,390,361,390,854,731,701,
728,576,846,978,400,272,393,031,268,191,316,007,759,130,381,886,478,959,305,
386,645,000,643,141,166,608,225,713,737,479,067,900,360,244,114,682,530,244,
529,268,131,097,732,224,039,482,545,151,603,811,230,417,791,358,416,410,633,
679,014,808,775,081,829,869,304,357,078,676,439,899,612,206,763,652,126,455,
810,001,751,372,849,969,152,310,122,429,640,636,251,841,831,397,667,258,273,
519,706,902,491,731,126,026,458,996,281,607,766,506,375,785,496,535,192,165,
140,593,809,671,371,534,547,944,236,167,777,370,066,080,043,593,316,232,072,
181,446,305,954,697,022,303,474,069,312,290,232,841,273,465,844,765,982,774,
558,042,303,190,872,933,565,926,046,736,881,249,300,022,011,124,498,203,213,
888,474,378,423,658,395,071,352,922,140,777,053,668,834,408,874,831,062,191,
724,560,863,613,072,251,450,953,882,187,519,331,866,051,018,075,277,009,621,
978,444,156,076,006,089,045,921,051,362,802,862,935,473,195,105,931,417,596,
222,412,159,224,453,974,706,469,071,020,543,930,305,192,937,579,249,281,955,
402,628,938,943,789,977,730,564,230,985,496,665,509,659,626,537,866,683,120,
137,790,999,896,625,511,647,198,527,462,637,298,075,478,363,550,127,880,296,
699,215,940,195,258,084,967,117,587,814,378,774,947,076,082,702,890,893,601,
273,418,385,199,615,320,992,663,931,434,591,461,164,346,901,076,092,491,181,
142,507,286,401,617,487,505,806,635,436,576,621,181,471,677,817,574,560,806,
936,199,844,771,606,932,062,167,334,985,923,812,324,240,574,428,637,568,378,
600,539,227,620,235,778,669,155,628,982,526,719,925,064,103,065,874,519,608,
285,127,483,349,777,976,970,854,616,954,189,426,479,370,350,215,394,275,643,
004,458,240,107,375,221,430,611,974,051,952,270,317,592,002,005,293,569,526,
631,431,871,327,677,721,846,379,547,784,486,683,748,220,203,586,686,460,043,
914,956,116,983,907,987,831,544,246,355,879,121,636,819,752,715,428,462,811,
579,486,063,240,776,399,092,911,766,744,052,486,909,751,668,834,538,499,279,
273,393,294,803,615,427,679,833,929,140,207,342,121,576,794,864,804,175,163,
321,876,759,927,923,425,504,116,466,094,061,433,639,236,093,838,132,704,003,
557,068,159,115,021,550,900,283,467,966,375,237,703,986,785,987,422,583,860,
388,405,135,556,762,672,552,908,225,696,442,846,642,650,569,159,375,171,220,
033,789,913,401,178,874,852,838,381,784,505,969,669,712,727,906,547,332,453,
462,317,417,820,275,394,290,419,015,892,520,603,392,295,739,929,690,316,970,
584,180,578,228,103,961,827,504,850,825,475,286,455,326,068,531,519,132,858,
544,394,059,905,485,103,893,322,624,127,739,974,425,817,059,207,931,769,201,
580,346,812,711,112,012,568,108,300,771,429,599,085,038,929,782,942,207,997,
986,324,601,215,749,826,335,038,261,195,926,251,990,773,788,206,941,799,852,
306,074,313,531,144,792,967,995,190,196,887,741,646,786,734,952,280,965,085,
883,601,907,934,953,474,963,094,098,625,827,971,274,974,478,896,550,916,876,
168,612,125,792,664,112,450,590,504,027,760,728,629,530,371,769,609,000,924,
186,442,706,489,306,132,021,893,539,349,583,219,748,943,581,929,577,618,940,
660,683,069,003,332,217,383,947,920,599,528,768,321,425,057,040,325,438,571,
674,339,564,401,345,479,971,132,375,136,168,372,427,848,263,068,684,643,851,
516,509,584,950,917,071,012,295,187,539,537,606,039,522,659,898,615,032,668,
967,938,719,159,149,685,198,369,777,660,317,746,916,980,284,548,406,913,054,
062,207,207,832,455,611,669,606,160,657,876,793,244,043,223,980,828,593,164,
531,838,781,181,432,233,643,367,227,341,192,461,378,997,508,708,369,989,905,
023,838,819,398,294,298,195,496,515,688,819,178,607,827,619,416,758,899,625,
338,004,217,153,815,903,245,438,256,528,611,600,291,479,327,216,586,571,972,
136,182,724,858,933,911,349,034,521,975,592,421,028,471,217,661,180,038,012,
100,787,353,087,901,096,140,758,719,214,196,538,142,222,825,897,476,978,704,
928,345,935,947,546,397,816,518,391,361,327,620,460,402,397,808,341,608,302,
081,817,065,605,194,846,311,077,332,172,793,743,772,271,200,205,196,015,222,
220,299,860,286,845,915,394,683,756,565,863,935,812,499,886,675,073,594,820,
969,025,721,134,578,664,948,013,338,636,379,912,365,242,577,825,890,345,870,
138,389,910,932,571,244,166,659,611,944,566,944,636,181,950,191,048,284,076,
120,557,995,639,362,416,132,486,102,834,496,025,045,285,620,070,523,804,316,
452,295,175,856,115,106,927,037,336,202,643,130,907,525,029,792,223,649,691,
094,759,025,463,375,982,104,011,894,363,297,370,012,353,798,733,593,837,448,
509,158,392,938,676,273,961,211,121,894,173,296,993,663,025,487,283,290,886,
174,219,592,706,735,260,396,795,741,655,197,538,072,810,633,883,177,158,665,
922,223,425,066,309,221,523,635,895,810,527,027,287,758,242,414,376,240,295,
345,095,164,381,316,346,594,498,086,037,005,290,567,474,305,589,150,529,099,
870,087,219,721,602,592,312,020,854,376,352,656,454,529,450,951,780,049,533,
807,896,031,590,333,106,243,894,490,453,639,051,573,130,901,637,757,666,899,
886,229,763,541,638,203,074,044,201,822,198,889,579,140,045,875,704,584,251,
029,372,967,857,045,906,522,615,262,216,687,909,166,006,401,964,921,877,263,
373,267,746,122,535,420,813,409,710,904,304,289,514,773,137,798,343,490,370,
018,843,418,376,090,124,519,896,723,573,268,706,385,495,040,222,942,874,810,
713,887,906,765,050,724,645,083,932,003,583,737,130,300,558,143,797,288,256,
034,220,196,195,225,835,288,379,320,759,613,797,761,743,017,222,081,452,826,
470,094,316,599,716,524,600,824,419,039,716,126,888,215,147,383,979,283,631,
285,668,247,842,633,504,701,753,959,590,486,265,162,116,545,784,865,635,184,
682,629,275,079,636,436,277,841,203,844,050,017,000,119,334,862,163,566,874,
678,047,263,678,032,027,728,619,571,553,290,419,347,143,908,071,053,643,867,
844,270,628,418,873,161,516,530,024,970,060,182,767,368,112,220,173,493,830,
926,579,521,281,073,976,805,449,798,335,488,884,244,920,612,493,357,588,666,
191,121,023,970,071,275,422,436,669,130,007,671,176,114,665,830,473,673,581,
654,309,783,245,994,445,935,912,645,581,003,355,522,615,587,587,840,429,636,
276,112,105,256,138,033,439,182,397,175,660,450,614,344,693,992,126,310,995,
929,604,609,605,733,577,852,701,391,243,410,825,294,997,237,798,740,601,057,
662,461,611,586,930,162,793,538,277,810,299,521,641,056,666,253,747,266,725,
225,785,250,889,793,814,318,418,682,464,798,607,141,537,707,566,876,523,607,
773,599,465,359,821,882,696,654,992,426,536,150,605,341,695,594,928,983,823,
107,039,557,334,776,730,981,473,257,210,115,082,822,200,541,528,045,293,038,
595,192,910,478,219,187,811,228,823,744,427,716,146,726,117,397,505,623,508,
560,667,895,234,715,984,216,662,763,642,490,132,598,493,397,371,872,803,828,
755,769,898,222,611,350,259,749,507,802,200,614,761,921,815,559,619,423,661,
161,222,122,343,765,776,977,217,029,182,903,159,862,212,261,654,895,987,419,
364,698,188,995,070,912,115,721,577,206,960,741,303,228,783,804,462,547,924,
431,444,366,412,235,231,003,794,432,361,283,520,875,139,768,477,220,489,683,
649,615,751,918,684,380,946,242,834,436,716,740,124,642,447,935,381,141,913,
787,357,543,881,335,522,067,171,594,828,537,291,443,258,793,272,290,700,602,
814,570,936,712,988,337,763,980,979,000,815,762,135,352,495,968,510,472,823,
310,107,569,887,402,148,194,039,154,416,268,140,057,511,213,526,347,274,859,
750,909,126,546,128,463,445,268,652,115,578,052,619,009,038,199,715,532,654,
962,062,132,837,914,550,423,570,335,707,064,025,804,732,146,740,550,052,895,
741,211,270,267,144,877,335,042,086,543,199,178,397,441,816,012,384,421,844,
049,284,459,557,774,941,380,311,729,085,045,498,714,120,648,776,202,123,516,
217,998,440,461,017,061,186,195,633,849,228,340,873,736,754,347,527,088,139,
330,995,978,991,127,580,712,888,620,954,285,313,833,640,124,007,916,698,323,
466,432,810,044,158,576,912,886,494,101,811,737,296,271,765,390,843,688,391,
658,886,733,326,706,112,309,977,425,844,542,594,622,470,102,315,805,995,083,
477,959,975,265,815,993,648,250,407,168,965,158,331,883,979,649,900,077,804,
213,880,314,813,205,189,907,093,593,479,107,293,917,269,654,218,467,164,306,
747,814,866,952,059,118,541,234,649,131,801,415,428,978,860,193,588,710,142,
430,482,330,763,731,147,990,131,312,717,805,524,459,917,885,156,846,882,371,
565,013,131,312,594,520,375,828,879,128,893,371,579,900,365,593,684,416,842,
481,300,618,099,108,686,032,629,760,977,087,466,566,679,647,802,584,072,899,
130,304,720,200,769,143,450,780,737,987,463,145,914,224,757,679,303,026,445,
720,706,973,757,774,621,479,577,320,443,544,333,597,750,748,727,327,563,880,
289,117,928,035,331,787,338,173,998,133,569,733,603,877,579,396,374,777,257,
336,618,329,924,966,995,364,601,148,872,073,614,091,911,877,332,707,027,837,
282,114,630,383,946,940,991,570,251,087,960,838,831,163,582,484,077,751,406,
594,773,661,469,987,924,941,454,445,212,793,373,774,749,702,035,728,016,796,
655,376,154,018,825,240,775,631,897,748,311,786,785,704,374,658,891,615,854,
250,069,892,305,994,564,781,106,037,021,336,581,761,381,651,458,937,494,590,
844,325,832,631,322,731,445,151,376,522,733,526,465,128,050,052,484,129,375,
577,927,603,543,691,658,323,292,745,323,016,003,156,439,332,547,453,459,638,
533,730,389,497,305,379,849,949,496,093,917,979,975,906,203,879,015,265,898,
394,439,242,999,956,069,668,004,139,577,302,160,923,091,814,478,751,745,733,
416,321,852,701,432,247,684,380,455,466,772,170,196,646,159,092,636,065,855,
394,090,866,317,950,135,820,261,297,762,556,179,702,425,782,265,770,701,906,
232,740,455,793,827,771,996,729,882,979,615,301,077,157,056,607,445,006,235,
735,441,428,619,499,786,454,940,524,577,732,671,472,788,978,214,340,077,781,
998,963,498,254,716,761,641,103,418,206,134,336,685,062,188,368,757,014,241,
905,312,007,059,343,181,293,219,637,039,787,082,986,107,921,273,174,461,929,
722,642,560,935,079,499,316,210,732,543,124,354,772,652,456,686,249,092,181,
251,805,540,448,621,024,120,631,141,840,565,463,885,605,090,865,190,480,289,
227,131,807,385,297,692,562,406,963,981,829,710,864,598,210,489,004,665,186,
025,606,525,682,866,830,410,246,706,738,001,149,655,315,245,443,811,685,238,
058,289,293,313,133,363,914,447,391,857,049,640,915,548,203,190,517,317,993,
619,194,318,711,490,086,057,625,370,566,206,824,171,547,659,269,381,891,365,
752,192,360,588,868,890,534,400,457,568,104,304,336,978,628,238,350,673,796,
898,574,038,418,593,988,162,124,145,218,067,457,913,005,295,799,809,134,126,
554,529,105,322,429,330,190,564,298,836,824,733,196,085,191,506,349,022,423,
240,284,609,684,332,961,054,543,473,973,831,581,609,142,034,430,577,247,847,
246,490,894,566,703,634,954,616,555,809,076,491,873,822,049,757,304,300,311,
886,907,389,382,851,274,183,422,623,635,931,353,356,824,598,648,021,994,800,
719,225,023,925,737,751,634,471,282,594,918,399,683,563,427,221,833,115,384,
861,376,839,333,418,094,063,605,503,490,590,994,823,396,536,626,964,207,240,
621,420,931,974,773,754,657,913,730,760,172,666,610,562,091,760,105,154,780,
815,006,409,096,918,207,415,310,093,371,140,683,732,746,774,372,418,341,497,
446,501,019,699,145,409,153,426,418,637,663,992,404,213,473,019,211,318,092,
330,423,312,630,376,020,759,676,181,972,540,688,730,807,324,974,215,426,931,
953,399,149,581,454,579,845,188,650,437,996,964,432,184,248,303,523,423,347,
116,241,566,242,680,420,243,234,238,425,823,907,005,445,029,721,159,403,729,
264,145,706,268,766,795,452,138,520,209,573,271,481,108,293,087,239,238,380,
097,138,786,777,715,713,240,077,568,851,277,901,603,260,464,741,644,762,196,
568,242,428,553,412,628,904,745,911,000,349,336,509,473,725,836,647,827,332,
146,736,700,037,873,272,037,340,214,997,969,638,685,734,183,560,415,015,746,
914,916,664,763,949,683,409,616,679,369,220,866,769,763,171,707,685,955,809,
015,431,335,651,435,026,737,142,391,777,080,112,539,110,651,952,589,897,618,
937,275,000,620,939,921,353,487,149,115,799,200,216,670,741,200,630,204,337,
570,493,009,066,959,297,091,055,860,257,099,353,663,254,051,795,960,141,348,
793,583,851,997,353,239,008,927,966,706,712,196,745,143,017,836,075,848,161,
221,363,650,393,149,308,692,909,833,512,284,375,907,007,499,537,374,715,282,
583,840,555,038,775,616,954,035,416,901,123,718,108,545,393,578,987,511,046,
822,376,486,800,267,488,153,791,568,533,059,495,542,134,249,175,140,256,146,
257,085,923,542,960,013,712,814,185,542,573,442,591,559,578,461,458,628,436,
809,239,445,000,734,123,927,680,342,464,582,092,472,000,071,290,784,144,289,
083,248,857,770,350,466,751,159,140,083,571,021,049,450,461,523,804,911,003,
251,199,822,286,677,419,916,683,160,519,488,624,202,321,356,750,575,626,291,
473,482,408,655,088,236,522,999,785,008,241,102,494,949,979,521,395,260,832,
476,505,973,073,686,134,605,671,316,122,075,143,137,152,203,713,210,790,535,
896,719,323,658,212,147,205,259,184,528,336,808,911,972,750,874,844,991,395,
685,991,124,265,458,767,834,560,575,068,759,284,388,887,041,872,202,134,420,
050,473,755,755,781,336,255,065,578,232,423,117,305,419,815,465,152,878,931,
201,950,273,448,130,071,424,025,247,104,121,569,774,981,855,628,064,557,578,
062,099,293,418,864,346,520,892,621,646,920,178,309,345,015,746,122,329,089,
399,590,477,626,127,055,629,902,687,876,853,392,451,048,294,357,880,789,567,
227,631,999,229,540,348,142,720,475,228,149,163,393,086,397,108,264,824,548,
541,048,670,162,685,650,439,020,364,903,616,043,498,312,960,250,981,047,920,
501,507,731,758,012,330,247,826,112,921,702,036,931,655,441,566,209,229,391,
707,202,478,966,365,451,080,478,632,191,711,145,270,973,383,694,108,005,885,
516,951,378,753,926,196,360,246,638,680,766,446,229,319,624,053,168,816,475,
665,271,723,557,160,257,094,864,588,900,455,813,674,668,915,309,981,287,411,
883,502,335,416,142,211,481,222,188,513,745,104,051,892,858,900,956,602,844,
654,181,161,441,261,825,350,214,346,866,680,905,244,959,476,590,645,146,654,
580,131,706,881,578,967,353,973,730,981,488,550,154,576,194,060,205,019,731,
223,180,490,901,901,625,803,025,366,328,450,423,304,195,309,264,358,129,370,
380,548,954,820,965,482,241,548,871,670,803,840,453,518,541,455,364,696,848,
444,763,836,293,984,486,420,673,687,245,394,963,383,927,925,281,928,535,635,
375,719,650,769,410,389,045,614,192,729,646,810,833,859,752,412,966,807,485,
175,229,791,866,885,272,108,044,035,807,896,435,135,725,657,209,179,653,571,
555,327,939,722,232,113,797,308,382,173,103,185,094,174,585,497,922,151,521,
418,542,968,567,973,617,354,680,413,505,953,088,703,426,200,843,311,217,286,
859,313,443,862,625,230,999,013,170,951,993,652,648,294,569,551,522,823,161,
207,290,923,934,899,737,967,434,028,376,298,668,203,991,306,370,755,641,736,
885,472,227,688,455,434,863,109,443,624,273,385,727,437,508,078,956,130,859,
840,323,197,458,331,184,301,148,435,609,546,449,546,715,334,423,880,346,442,
023,628,933,589,133,141,017,580,528,539,923,074,568,660,959,304,056,218,537,
143,760,192,790,242,355,021,247,933,566,916,340,179,261,291,529,165,567,521,
431,800,638,739,123,951,652,603,970,443,399,348,154,693,118,177,612,441,063,
449,107,631,364,464,819,693,946,243,678,973,155,822,118,267,228,722,010,128,
378,345,533,137,328,123,817,112,296,545,892,014,198,446,963,311,567,881,931,
066,285,882,671,915,284,076,089,680,480,138,476,069,157,484,119,345,680,062,
283,447,921,698,677,024,736,449,915,714,987,133,415,037,925,226,120,030,928,
086,189,781,091,318,962,952,748,400,796,805,075,350,271,457,966,183,101,085,
031,439,072,745,336,540,960,400,238,541,969,507,851,016,065,905,856,573,694,
950,768,732,195,044,020,681,872,440,286,002,873,157,794,897,897,069,990,515,
225,927,647,587,018,273,729,437,977,006,667,681,200,485,506,570,225,190,245,
853,216,053,924,535,265,465,030,068,928,238,758,060,070,622,950,266,316,216,
884,351,270,067,862,613,408,569,821,661,154,312,719,540,322,761,076,999,966,
685,541,509,971,478,452,113,549,674,101,508,632,164,817,146,633,306,965,876,
873,965,693,260,766,825,084,089,679,574,673,547,175,129,465,704,265,852,313,
011,043,073,444,420,337,117,869,422,651,809,937,271,888,286,210,693,776,100,
418,872,914,537,238,925,099,136,322,488,976,645,424,408,567,332,203,451,671,
268,914,856,103,263,197,646,877,279,697,727,119,919,676,612,219,088,055,412,
000,062,891,656,496,597,628,712,837,439,463,026,855,396,274,427,837,387,483,
787,738,178,409,568,046,373,718,392,831,739,767,309,581,036,666,387,418,605,
809,553,297,776,811,708,939,139,786,770,504,024,893,449,322,758,771,941,715,
650,088,070,688,042,061,503,709,193,764,906,033,111,404,609,207,087,131,393,
866,030,356,031,074,937,622,609,194,763,635,281,951,626,803,349,582,303,272,
800,031,089,169,120,279,070,731,833,222,138,948,159,707,979,600,468,711,584,
144,829,550,938,546,173,478,706,278,452,349,847,555,527,521,039,166,485,841,
111,087,954,595,961,258,155,663,238,568,578,136,472,275,598,790,869,356,304,
816,006,441,514,653,415,587,296,442,657,273,367,512,180,824,183,262,748,476,
994,776,073,410,835,773,034,303,602,504,179,358,917,201,663,445,375,828,589,
178,114,383,004,978,530,621,628,901,210,334,253,616,160,322,391,944,434,705,
765,401,735,167,588,322,281,451,526,215,163,783,408,679,605,333,593,180,813,
971,057,702,902,488,062,041,854,903,217,167,804,748,973,578,348,878,500,095,
365,638,257,291,825,290,950,915,356,839,292,229,803,087,422,135,809,577,037,
361,167,153,617,385,534,377,228,917,434,229,669,742,169,768,854,473,232,296,
881,293,046,648,826,678,542,861,683,115,402,391,217,685,543,884,286,315,818,
076,013,908,317,726,543,427,232,496,879,576,567,800,535,880,116,093,591,556,
073,256,441,277,570,293,927,968,514,949,645,278,405,814,623,510,746,115,933,
272,396,055,425,436,006,746,438,455,191,014,760,011,814,604,367,180,485,514,
331,463,099,582,659,162,534,717,730,591,619,785,038,229,625,382,488,584,758,
731,656,984,833,825,420,826,030,551,009,891,115,842,487,997,618,730,400,104,
419,849,793,513,127,699,558,804,892,433,904,585,056,426,276,761,077,704,525,
683,198,504,311,164,650,411,572,701,444,169,494,013,234,860,064,841,427,437,
803,684,569,189,422,692,057,601,464,013,948,187,524,950,100,596,716,752,323,
231,440,907,266,042,185,269,413,083,626,203,823,048,589,640,090,473,717,399,
464,066,412,736,440,066,944,265,413,129,806,481,613,383,518,523,372,909,649,
580,988,652,290,320,397,407,969,883,606,936,391,816,096,836,779,294,497,815,
126,604,539,650,338,799,959,630,433,037,531,082,713,933,534,263,608,288,216,
849,087,003,653,689,194,786,566,055,984,594,333,939,707,645,567,654,128,842,
537,180,942,911,707,575,920,694,554,010,668,665,376,316,435,576,612,307,379,
067,818,355,527,499,164,312,636,784,044,027,828,682,479,951,005,031,291,216,
139,824,533,952,856,667,833,373,087,958,619,432,396,150,891,189,416,114,725,
395,085,337,807,638,336,086,954,868,848,373,097,442,690,873,167,301,553,301,
676,528,920,802,415,764,367,138,623,331,356,205,165,386,380,912,501,289,841,
577,100,409,692,001,576,679,005,625,298,031,730,659,533,111,944,561,818,575,
286,775,858,586,349,245,622,914,848,368,085,816,075,369,830,173,129,070,128,
638,138,950,936,652,790,820,519,183,847,471,033,465,729,193,348,119,754,387,
153,645,472,940,230,575,394,018,699,086,719,430,099,523,391,412,264,253,294,
276,905,497,472,595,623,523,224,379,283,417,936,052,256,490,800,817,896,872,
566,534,571,142,198,817,754,166,531,484,447,118,685,834,594,990,157,544,374,
534,618,143,727,802,401,468,220,975,391,083,695,962,398,717,583,961,858,078,
339,398,796,137,529,611,611,102,272,046,021,140,129,075,037,701,155,951,938,
441,629,199,726,772,830,306,831,260,261,284,765,215,944,592,477,390,885,623,
277,502,578,230,834,961,373,869,560,216,175,792,919,418,157,877,247,062,482,
925,227,900,770,714,084,622,872,480,025,341,026,601,821,460,092,296,563,178,
986,074,297,010,790,999,775,017,242,280,507,283,437,514,362,661,042,094,495,
557,149,584,479,915,742,425,787,214,931,089,035,237,129,104,672,505,015,456,
270,237,383,376,079,242,439,559,468,904,128,319,038,507,730,848,459,971,084,
655,748,199,469,815,836,574,612,653,777,011,417,343,484,978,080,329,746,387,
361,475,515,855,692,052,148,948,154,242,006,792,606,590,960,203,497,942,101,
804,748,983,020,952,539,329,738,375,308,911,917,248,386,379,683,650,001,481,
924,385,599,899,363,226,371,332,494,066,581,858,585,548,443,903,013,615,331,
432,280,849,163,567,005,485,841,409,189,188,906,733,188,753,640,762,592,779,
529,098,851,525,433,701,449,862,851,401,302,658,573,838,624,707,894,198,584,
090,303,206,233,603,991,788,892,895,842,473,328,766,774,497,460,272,306,510,
870,865,164,862,724,693,243,437,052,927,759,586,292,607,988,941,818,167,465,
149,085,845,262,506,125,290,797,774,657,060,909,342,280,415,650,077,271,075,
156,700,493,100,959,288,012,127,326,059,105,684,548,470,985,374,648,753,725,
467,624,463,461,883,743,341,657,547,370,291,708,813,371,009,762,634,503,029,
529,322,735,730,915,856,967,938,133,861,244,416,159,388,379,665,105,498,732,
323,313,743,614,646,584,747,832,275,280,480,792,372,664,112,540,353,246,363,
441,568,186,591,113,017,532,321,688,206,729,966,630,864,623,761,214,607,229,
351,695,026,984,417,231,064,133,355,972,971,051,837,894,194,278,544,068,869,
939,838,710,855,463,518,816,088,249,638,443,358,197,639,318,074,822,222,550,
735,982,899,623,191,938,438,616,228,383,889,838,947,732,450,047,293,516,599,
662,219,864,001,820,865,816,156,994,357,730,816,686,855,617,849,483,144,294,
374,758,457,153,997,499,776,502,664,579,235,434,532,937,090,229,946,796,206,
020,512,881,330,286,337,168,466,360,923,737,809,551,658,914,749,963,488,008,
982,543,809,512,051,577,314,668,211,636,764,291,000,251,478,473,717,218,617,
453,273,710,660,747,281,050,171,564,884,122,769,708,832,818,022,152,409,162,
085,052,547,886,973,602,588,470,375,702,281,456,241,957,624,983,851,284,122,
646,811,587,873,211,743,369,672,264,571,373,408,094,355,026,165,100,603,467,
283,473,234,305,276,229,515,357,211,629,351,949,116,325,422,654,076,425,114,
050,754,720,162,871,963,703,005,018,447,687,282,383,200,484,348,178,329,518,
602,152,727,605,788,229,409,388,908,908,597,917,120,742,833,773,761,483,884,
353,947,024,091,508,315,416,867,679,923,583,833,111,028,102,452,264,231,970,
467,324,101,502,931,276,562,967,046,713,703,109,640,067,494,228,949,868,339,
782,536,472,118,885,519,569,886,876,253,570,550,919,504,462,730,976,797,943,
597,017,542,592,926,077,553,541,688,294,332,860,539,897,614,412,639,849,743,
735,077,146,970,295,898,952,924,227,124,314,537,378,166,969,557,826,255,271,
929,846,237,808,314,988,584,579,313,452,281,583,315,302,854,321,523,879,908,
075,636,895,214,493,611,986,363,317,701,458,226,622,505,448,290,761,415,975,
674,343,464,235,405,440,575,991,089,631,204,347,496,790,949,077,519,704,062,
764,218,343,485,624,415,948,894,987,290,517,141,876,837,682,944,507,444,304,
337,279,498,495,348,644,841,390,491,200,980,102,557,976,346,277,034,665,275,
616,226,606,777,249,497,717,686,464,288,145,694,580,337,935,645,163,059,825,
923,679,820,993,258,846,490,242,260,853,807,039,345,246,625,178,003,857,951,
505,323,770,150,299,485,211,554,986,274,105,037,210,545,808,713,563,407,270,
202,550,310,843,977,368,100,747,048,937,296,985,818,959,554,641,483,096,840,
243,547,359,245,017,646,403,671,641,352,901,404,849,441,128,067,434,498,035,
981,027,326,252,515,763,772,903,005,896,151,190,647,517,986,130,103,596,627,
360,075,261,196,526,101,661,342,056,048,194,455,359,804,851,700,386,034,374,
058,145,412,220,497,701,454,479,170,068,581,588,144,436,306,739,012,645,493,
171,498,025,971,310,643,492,675,945,204,825,377,022,320,672,259,704,388,616,
660,764,167,092,824,778,209,727,496,367,372,563,742,882,180,544,340,862,506,
316,027,020,572,747,029,004,080,851,822,965,514,443,418,910,309,236,441,928,
226,466,560,289,804,842,371,956,741,808,204,080,601,201,686,123,817,062,709,
693,405,900,447,409,551,233,110,264,606,565,378,318,951,664,000,781,487,842,
739,125,738,160,916,290,656,474,267,538,357,186,164,939,882,244,438,193,585,
697,148,449,449,417,049,248,619,232,983,939,511,654,683,587,178,418,606,086,
485,620,833,831,026,956,216,711,569,566,632,883,535,242,181,066,559,828,537,
895,382,222,176,584,001,645,929,908,670,151,714,552,571,744,395,682,707,657,
546,951,834,037,919,546,539,450,195,853,991,786,997,922,223,249,814,320,314,
571,996,961,505,436,801,738,215,858,654,568,799,821,872,076,711,397,842,494,
563,091,233,330,357,904,204,593,962,415,901,092,608,313,034,606,931,364,918,
839,033,949,957,808,850,541,802,295,210,106,193,446,331,146,572,750,735,556,
836,137,905,008,399,380,598,636,476,914,522,075,000,504,431,655,175,637,552,
964,699,792,596,947,104,476,032,925,440,015,006,757,379,722,641,093,130,432,
350,372,638,266,195,762,417,916,453,046,097,140,615,237,465,728,576,540,538,
327,479,117,248,444,483,124,085,508,308,441,079,265,064,082,900,919,478,806,
011,741,421,943,947,038,399,441,160,023,021,654,904,562,479,902,676,363,167,
900,450,486,167,427,526,394,021,262,094,755,037,646,772,011,494,912,093,783,
492,931,960,166,730,550,793,997,454,803,322,041,628,586,437,322,331,164,368,
048,351,820,232,859,450,753,025,491,915,176,228,261,612,659,106,911,526,893,
634,335,336,687,447,757,279,351,673,327,171,701,663,765,962,441,802,462,462,
860,837,021,621,106,080,126,277,998,892,607,477,566,724,754,075,426,398,033,
964,850,523,007,294,764,560,091,438,437,651,716,196,057,402,980,014,615,470,
307,194,969,636,601,795,674,646,933,461,313,858,715,482,148,679,333,904,220,
461,271,796,270,962,196,461,881,888,252,304,371,603,880,636,876,980,906,553,
861,354,069,843,437,792,933,319,796,025,943,006,447,396,730,151,474,097,756,
923,722,700,918,761,033,484,482,153,368,291,684,648,585,050,184,915,959,969,
823,183,423,245,340,598,072,152,767,902,899,145,677,983,088,323,157,348,567,
669,087,675,029,464,707,448,461,677,314,648,679,524,943,686,718,506,644,112,
820,176,600,522,735,376,149,619,805,617,002,099,515,668,464,194,455,258,804,
547,622,873,975,783,049,872,616,788,353,004,741,353,646,738,162,045,007,321,
058,382,770,849,766,835,247,607,578,896,295,855,636,678,005,615,249,872,814,
695,612,232,024,551,991,491,198,937,941,767,287,476,586,292,664,384,605,073,
861,478,275,942,593,584,568,482,372,454,374,551,641,207,114,873,039,732,359,
496,452,170,821,936,105,454,665,527,806,663,886,573,286,711,551,377,401,152,
592,585,288,179,548,642,841,906,272,113,521,546,101,818,663,948,594,659,943,
852,952,289,298,736,825,128,867,900,973,323,268,316,667,505,931,262,679,423,
768,433,380,767,357,724,748,536,131,044,603,329,720,218,753,126,906,749,514,
520,762,630,812,039,486,994,731,866,574,098,285,599,946,499,863,615,759,019,
930,651,297,666,832,105,491,777,436,461,549,023,324,225,140,727,549,784,669,
904,278,953,515,741,412,212,921,666,776,804,976,155,574,138,445,009,296,444,
733,136,916,259,391,037,110,823,282,906,960,253,334,874,189,984,913,662,277,
415,269,703,820,375,504,677,526,068,670,332,272,164,589,856,615,724,171,055,
847,085,276,858,664,502,595,646,424,499,958,700,453,782,794,852,041,696,748,
906,323,778,883,576,983,635,780,454,384,420,486,771,590,514,363,674,183,484,
032,556,933,504,931,967,270,538,152,336,740,737,810,419,957,041,300,213,875,
323,794,083,935,143,589,940,404,387,100,477,443,169,390,471,559,632,183,915,
369,605,065,039,255,479,882,758,542,136,494,195,262,029,770,207,491,305,547,
791,666,979,984,606,382,596,964,839,335,029,553,492,535,406,482,460,303,633,
358,918,477,391,067,454,416,037,134,601,682,037,776,808,666,990,873,318,423,
239,808,172,853,160,175,732,750,237,152,501,885,526,996,045,050,300,458,592,
785,212,569,828,974,120,351,947,295,624,856,545,525,657,127,813,127,423,943,
214,205,954,599,065,457,398,062,809,182,209,776,089,739,435,400,495,381,280,
187,878,662,044,436,768,185,620,909,404,941,914,017,194,738,025,027,741,270,
450,432,269,914,800,306,822,131,019,050,933,063,961,669,965,005,389,555,876,
003,962,630,869,145,275,178,957,231,392,007,181,935,484,453,622,496,551,514,
323,658,818,387,629,802,601,022,065,907,782,486,685,037,852,609,742,878,260,
155,735,915,880,809,169,510,179,062,293,631,204,029,683,062,086,950,612,745,
165,567,366,468,787,553,225,741,291,408,328,299,070,189,258,598,878,955,834,
851,769,331,345,397,758,469,665,070,574,609,824,109,954,205,121,666,703,282,
219,707,896,982,971,674,739,751,940,987,954,835,298,358,179,671,469,751,246,
963,590,440,414,881,628,836,972,126,780,045,957,723,864,190,628,134,539,536,
234,330,825,105,958,867,045,118,427,403,825,309,166,615,857,668,993,960,964,
101,646,368,222,169,516,510,347,320,362,304,214,725,609,546,474,919,271,695,
224,362,008,829,164,983,471,326,858,233,351,890,487,775,798,320,270,616,636,
895,518,096,963,917,747,023,493,104,281,525,189,053,389,580,563,998,908,019,
479,780,408,485,302,721,181,831,845,544,786,450,243,754,479,333,341,459,005,
106,767,019,454,930,360,749,885,727,599,499,954,804,272,608,063,847,041,538,
098,293,811,183,672,079,894,496,377,311,179,693,961,935,212,531,835,394,933,
173,985,970,567,371,957,425,852,953,312,872,730,948,622,772,015,390,108,073,
155,196,849,012,498,549,168,118,180,779,789,534,675,719,210,245,781,570,915,
492,743,569,874,288,341,174,148,325,913,000,081,260,999,524,476,917,925,026,
422,982,766,162,665,619,386,948,704,492,219,983,737,214,820,719,946,144,404,
862,655,854,082,833,200,474,125,697,113,085,213,902,844,711,743,503,575,569,
593,683,473,975,094,934,624,377,355,032,207,815,925,702,824,620,975,450,804,
723,930,404,900,954,627,463,158,513,208,676,089,158,210,672,186,038,553,565,
350,724,593,065,148,834,978,015,810,588,971,733,677,489,812,691,554,604,203,
571,787,990,515,873,300,004,037,294,322,838,105,126,016,701,859,906,614,359,
794,026,735,219,055,561,068,975,928,506,006,642,825,245,363,419,640,323,283,
070,040,876,654,773,278,137,644,149,100,524,093,861,778,649,858,449,574,309,
572,835,005,624,623,372,197,038,085,365,721,606,701,399,822,640,548,262,956,
990,237,362,362,030,651,008,108,455,853,579,874,271,855,275,820,553,001,458,
457,743,473,830,960,071,303,068,657,042,770,246,412,482,243,229,370,121,335,
932,999,114,048,312,444,291,610,142,146,110,481,352,928,440,050,811,609,883,
766,118,504,053,131,180,432,663,834,166,809,131,513,187,116,690,593,401,173,
711,059,495,668,801,434,617,949,293,479,381,508,615,973,642,541,396,858,862,
516,276,466,089,531,530,184,454,368,072,271,323,165,001,206,551,441,363,878,
915,413,326,142,879,834,287,317,499,326,202,661,733,330,302,016,650,026,280,
632,532,744,852,793,312,037,450,506,334,809,551,610,154,707,038,773,251,783,
328,038,040,944,679,161,387,692,469,879,750,991,617,570,141,815,810,222,561,
635,575,457,223,361,356,016,816,212,236,442,325,434,973,390,074,443,219,881,
550,708,992,073,560,778,609,333,234,983,830,163,661,108,164,027,778,021,719,
730,886,556,165,321,965,553,813,833,948,337,426,482,023,116,609,122,788,568,
743,420,702,553,076,872,571,223,206,364,388,452,976,467,939,739,058,379,979,
875,383,950,697,177,043,296,838,363,614,298,928,459,529,491,207,040,389,138,
367,806,670,217,429,832,801,743,773,380,021,438,191,570,970,311,576,335,178,
392,782,677,077,594,581,450,337,759,166,965,176,117,145,236,838,643,567,004,
088,656,322,093,559,965,043,703,161,014,095,556,195,048,530,692,044,763,132,
424,798,705,764,630,438,457,128,302,642,314,160,509,254,492,350,356,270,780,
736,106,135,583,658,134,544,137,601,044,178,665,494,022,885,026,157,122,699,
238,445,706,981,934,177,343,995,208,484,336,768,278,150,686,948,122,191,651,
734,276,534,069,386,774,992,707,686,986,675,112,210,673,559,652,945,457,285,
743,927,434,312,681,946,772,374,681,681,502,444,727,109,034,734,709,073,311,
522,734,026,861,031,274,836,920,561,246,313,119,040,365,489,057,338,015,621,
949,240,933,940,964,138,903,388,593,945,510,739,778,834,933,407,375,135,706,
978,898,899,199,984,286,468,736,024,295,323,678,006,831,284,030,068,877,041,
962,504,717,391,627,216,385,811,461,602,532,676,713,012,360,206,150,657,549,
962,770,000,997,705,761,403,794,170,166,085,186,816,917,773,027,651,287,501,
057,520,358,087,723,359,619,190,163,099,257,663,606,652,808,448,497,194,162,
456,892,918,420,300,054,352,112,127,669,385,217,891,110,397,417,323,930,033,
531,702,012,991,844,171,311,615,467,255,766,207,339,791,945,606,970,023,492,
114,529,339,385,691,440,769,425,907,594,895,625,812,452,431,551,266,241,192,
800,394,585,969,220,209,823,180,016,895,993,362,189,780,714,318,330,246,446,
908,840,952,224,995,340,801,497,087,067,585,464,560,825,812,775,354,687,967,
183,236,492,711,174,220,216,042,070,443,987,202,284,055,963,848,380,240,621,
228,951,505,367,143,663,367,822,127,529,462,124,264,996,308,664,616,692,202,
108,379,426,700,602,690,309,121,938,011,303,909,975,234,548,437,318,300,768,
548,607,897,539,086,692,508,502,942,821,863,363,954,574,124,005,667,428,665,
049,467,998,505,776,132,188,475,839,652,206,381,057,251,138,341,767,860,674,
804,290,869,670,395,040,467,100,907,903,111,467,938,202,426,856,230,138,715,
626,356,896,611,272,494,693,898,817,439,547,464,533,488,088,065,669,107,005,
568,788,373,060,968,427,167,118,364,115,865,718,281,087,636,998,474,378,461,
933,860,334,889,451,901,024,982,874,983,451,258,536,763,516,780,235,869,921,
527,432,465,345,334,030,082,683,377,697,416,329,106,866,425,229,121,680,294,
782,150,151,865,804,257,063,448,470,425,057,159,932,682,077,022,427,015,554,
906,788,520,358,078,777,475,280,474,612,942,367,640,275,683,732,413,288,184,
107,117,868,366,313,814,108,158,358,850,713,733,090,625,321,079,436,122,645,
834,954,956,877,664,109,522,577,655,165,965,424,466,174,509,725,696,311,594,
890,509,888,039,593,034,061,450,658,553,063,877,070,398,563,854,367,198,420,
692,940,206,755,493,518,742,120,684,197,798,642,207,551,882,474,711,984,047,
836,327,185,372,413,077,424,041,420,584,307,388,185,456,125,030,227,812,564,
460,031,850,722,067,592,271,366,996,847,284,852,222,036,222,846,259,191,655,
415,651,961,641,147,727,476,454,890,109,063,167,667,281,238,896,855,470,870,
478,016,930,384,995,506,976,921,712,250,158,921,628,815,811,442,850,771,788,
691,484,924,694,601,169,706,219,518,367,919,987,394,660,340,879,742,732,337,
043,604,233,520,077,199,594,422,887,228,880,466,619,053,113,497,076,080,935,
990,572,162,319,581,511,232,963,255,437,673,591,780,323,518,857,346,269,348,
969,379,871,334,353,756,471,337,965,664,295,100,602,562,929,957,488,104,934,
387,758,134,502,137,268,054,709,272,484,441,230,618,003,681,932,551,936,304,
547,896,402,457,844,653,652,496,918,551,436,259,049,280,418,675,272,479,952,
490,655,285,201,717,663,061,190,771,439,709,677,291,419,513,090,257,820,107,
875,072,340,310,805,372,125,234,268,737,256,277,285,390,442,462,050,018,869,
199,235,952,908,155,126,786,484,121,062,286,713,525,252,282,254,270,425,899,
442,243,559,518,997,111,874,529,945,807,070,029,001,980,513,766,190,191,008,
473,185,716,687,579,944,852,654,469,973,587,287,125,446,458,487,967,240,413,
323,730,321,947,032,182,926,215,267,050,537,308,419,412,204,140,224,503,169,
358,576,353,543,682,647,263,862,722,144,066,933,675,164,202,510,788,421,302,
740,309,440,798,015,193,238,302,507,005,858,204,165,355,081,726,763,220,577,
207,411,376,500,854,893,267,383,805,439,015,678,154,978,927,927,024,645,778,
049,618,868,036,193,102,966,720,179,771,445,844,052,660,913,523,944,518,604,
691,168,141,061,396,740,736,288,814,972,939,677,609,904,504,850,834,822,426,
301,081,700,224,318,499,066,233,607,043,781,261,846,506,543,803,703,574,557,
458,567,741,966,366,844,234,557,162,539,285,623,904,718,678,930,809,220,789,
329,432,567,589,680,706,835,654,022,305,903,540,265,837,939,468,223,836,366,
010,159,245,327,350,810,021,535,884,089,424,193,497,315,412,009,786,869,807,
461,373,941,961,108,942,474,857,508,044,278,086,969,154,574,297,894,632,482,
490,423,886,195,379,759,278,985,820,586,872,259,860,258,514,790,708,869,730,
864,316,395,705,936,496,264,955,986,369,761,081,016,185,141,825,732,503,721,
507,732,765,648,160,722,380,507,580,318,697,449,160,922,460,212,079,264,600,
818,460,126,551,687,445,065,853,071,859,966,078,560,207,802,457,015,279,638,
504,093,976,501,113,234,705,215,960,287,772,446,741,965,192,685,694,980,077,
386,328,426,514,742,767,053,263,441,375,747,563,113,552,010,817,343,958,320,
335,273,381,073,727,565,751,820,656,604,246,614,572,874,087,046,841,100,763,
046,726,789,435,872,808,794,894,142,591,574,986,034,210,667,286,568,691,611,
814,811,977,815,225,759,444,944,672,703,778,949,133,363,447,224,234,658,976,
752,504,916,458,144,813,919,914,416,070,521,686,780,480,928,582,747,099,533,
569,386,544,557,595,605,789,850,388,612,095,574,716,077,536,596,673,084,555,
713,688,369,473,402,067,141,672,622,199,937,938,954,882,244,484,993,105,723,
501,570,429,715,176,755,854,886,717,313,463,197,211,869,473,612,620,405,974,
074,646,588,258,245,325,419,767,550,528,521,605,503,372,036,413,661,445,840,
122,514,236,314,284,981,929,293,873,929,174,856,936,154,296,657,767,897,522,
750,680,522,908,374,674,942,274,314,040,464,936,504,472,339,477,309,087,865,
753,284,403,416,845,054,265,244,339,467,255,014,836,532,974,470,816,904,257,
154,668,262,392,595,056,736,752,960,738,583,074,971,022,640,220,954,254,786,
458,568,897,414,002,435,319,102,490,595,087,480,903,183,742,546,695,655,650,
842,083,067,974,527,264,846,413,415,818,022,012,854,760,135,975,644,581,000,
772,327,259,873,213,312,716,576,767,758,271,124,264,527,102,250,662,530,841,
162,461,515,818,800,504,690,174,277,830,009,832,906,857,896,993,350,578,116,
782,392,799,090,176,107,252,996,847,244,517,880,977,284,578,877,111,132,793,
232,555,264,890,214,276,705,182,483,663,755,669,792,162,707,064,790,126,902,
831,886,043,516,678,939,977,161,576,398,420,969,196,962,010,526,880,109,781,
331,296,393,948,715,121,066,634,860,841,925,108,921,623,416,719,086,144,181,
646,231,184,803,737,169,572,834,568,320,956,226,048,331,714,069,407,468,195,
902,358,198,315,124,177,769,406,421,509,397,164,441,471,715,263,536,084,158,
372,143,386,865,823,251,308,809,286,750,508,576,103,279,800,178,898,000,807,
615,114,012,803,251,322,713,814,976,154,538,025,668,531,350,469,784,234,359,
670,235,486,106,047,835,787,755,649,033,118,209,656,320,559,390,619,249,173,
217,056,375,250,104,850,023,935,651,935,403,791,404,393,017,335,567,038,409,
064,470,955,402,572,094,540,675,931,843,339,467,891,274,541,449,140,493,194,
259,922,959,247,049,751,888,281,639,143,660,666,714,751,955,277,201,646,131,
500,055,504,409,590,071,139,408,561,806,010,592,811,582,244,971,958,090,281,
753,300,705,229,678,229,267,006,922,694,839,977,251,887,699,313,077,611,451,
799,899,887,369,477,254,810,808,410,396,015,807,253,480,657,315,228,436,107,
840,588,398,067,583,830,649,701,884,156,984,444,771,807,494,694,468,634,896,
052,743,689,838,643,650,558,904,845,783,684,805,535,211,749,595,259,864,288,
323,218,115,394,181,151,072,506,218,319,354,007,406,618,946,258,826,947,714,
411,923,621,272,925,314,659,830,836,498,780,452,662,862,936,736,048,834,330,
435,149,511,239,850,651,157,388,135,492,168,986,050,891,529,047,288,991,032,
141,224,245,870,366,171,096,951,501,989,808,520,446,847,972,683,483,917,813,
944,471,018,098,198,494,873,917,876,991,067,042,859,445,268,268,170,700,978,
728,524,849,101,069,317,906,573,164,919,298,959,059,286,986,978,829,106,082,
681,436,406,847,322,879,029,790,381,729,665,998,821,547,128,485,608,455,913,
481,788,075,156,090,975,985,514,532,267,120,993,154,797,006,817,357,546,286,
719,423,998,765,436,110,488,383,856,050,545,365,385,072,103,464,949,195,311,
211,521,767,932,472,979,838,059,122,096,785,431,891,839,229,733,004,341,717,
703,745,691,627,054,933,862,739,065,268,704,857,123,180,626,743,109,263,200,
996,062,804,330,151,065,284,808,785,030,019,718,778,753,410,169,306,257,477,
460,955,262,822,804,186,654,079,224,588,652,953,830,724,405,448,133,197,585,
237,932,568,464,313,137,690,475,134,522,845,644,498,999,130,748,223,323,137,
505,499,492,544,678,183,502,535,537,292,523,209,884,907,787,556,103,500,958,
997,056,362,031,874,318,855,423,710,745,183,579,863,262,543,309,360,933,599,
599,617,231,412,435,019,799,708,123,376,484,571,903,648,406,389,202,878,892,
952,143,617,305,990,234,740,676,314,037,686,479,086,449,362,239,351,142,535,
060,084,827,832,844,985,035,805,535,142,396,774,822,123,722,291,704,907,227,
290,996,584,638,769,416,181,375,939,542,687,639,458,780,762,535,063,713,489,
967,293,492,282,444,889,843,907,802,665,080,773,627,539,749,932,142,152,365,
719,009,101,553,539,224,606,921,946,622,043,229,277,346,621,568,670,789,065,
822,645,902,483,879,571,458,213,568,646,299,512,265,971,704,915,269,565,143,
610,768,018,845,933,589,666,567,581,971,842,519,564,231,950,310,261,530,125,
521,478,725,517,532,894,029,224,861,796,504,178,232,101,031,475,759,709,593,
316,809,455,766,786,507,118,901,574,670,030,101,706,103,629,324,011,837,849,
627,941,492,860,135,180,739,397,666,296,665,939,929,879,303,840,013,332,955,
071,548,052,073,839,609,485,539,609,817,631,796,791,346,304,160,689,260,561,
655,370,065,402,536,546,470,855,057,256,081,456,740,888,397,189,096,352,026,
146,459,489,098,004,880,312,831,897,071,995,024,109,372,654,519,091,674,098,
947,858,982,365,137,992,162,343,050,312,019,540,430,904,374,137,472,383,199,
076,687,071,596,300,463,045,433,434,828,306,337,367,542,019,177,632,645,066,
348,513,624,407,790,010,787,253,432,646,124,228,223,004,350,167,111,623,055,
566,616,976,244,455,709,519,750,506,016,904,606,313,108,553,235,705,744,287,
368,554,981,992,159,333,441,026,329,304,643,270,045,403,377,920,222,336,068,
525,553,937,931,471,726,308,668,322,340,957,033,379,969,144,448,145,975,376,
220,379,654,112,248,041,447,084,217,287,008,044,000,618,360,710,995,962,513,
370,173,116,989,937,976,224,626,804,035,839,194,387,978,728,736,922,499,636,
004,322,385,876,006,105,969,913,252,203,982,573,888,406,864,462,268,502,168,
881,803,575,176,913,684,887,916,207,822,109,133,524,336,730,643,522,581,128,
652,795,547,502,844,144,462,265,935,477,080,217,557,838,961,803,316,900,668,
358,765,273,590,959,436,432,201,786,434,307,106,666,270,354,851,608,747,404,
055,257,575,183,015,550,626,435,630,421,638,444,768,975,942,319,505,873,457,
163,626,658,274,058,050,521,516,214,708,375,086,552,200,402,193,555,377,990,
864,352,740,319,266,698,397,838,124,219,480,594,520,810,602,582,524,505,890,
466,503,654,307,547,795,891,913,501,731,655,243,281,527,474,591,471,847,024,
984,010,764,566,210,262,993,542,647,768,669,991,429,731,989,762,343,430,474,
150,236,941,184,862,121,596,261,470,518,366,764,918,321,702,654,412,780,021,
742,960,127,007,452,462,350,561,442,034,000,664,494,243,738,800,057,153,862,
497,120,660,111,804,850,640,895,952,563,937,888,788,307,147,714,086,705,244,
341,655,627,250,263,235,459,383,573,448,504,355,029,261,659,450,691,510,430,
970,958,935,811,616,613,829,470,829,109,786,693,606,335,011,621,985,156,053,
744,341,149,164,644,259,174,359,773,466,815,603,646,985,137,767,483,453,517,
225,958,319,541,373,428,728,619,260,667,730,000,618,369,976,138,369,437,071,
808,650,059,468,853,737,699,752,627,620,903,289,840,394,889,047,531,650,860,
140,253,616,324,472,768,568,676,188,699,320,573,646,701,638,356,441,106,200,
397,995,903,286,420,366,981,341,707,356,409,289,147,247,622,329,514,279,826,
066,044,446,613,061,819,584,242,875,770,931,641,686,993,532,351,465,087,533,
122,242,245,560,758,365,491,299,645,704,217,294,237,488,124,882,042,193,657,
050,312,983,899,412,731,682,426,259,304,291,164,826,923,568,621,819,734,624,
183,086,630,529,602,725,971,558,792,368,009,673,674,999,120,408,658,872,645,
408,595,535,493,553,011,524,490,744,804,091,512,583,913,830,362,164,728,944,
996,377,913,385,666,373,750,736,396,718,987,372,602,984,693,087,662,207,398,
574,543,455,840,043,624,526,729,824,903,967,803,815,449,386,578,627,361,542,
488,208,138,446,222,991,287,655,718,935,925,555,453,528,610,607,868,672,207,
801,475,185,304,985,005,927,831,889,538,411,651,201,549,217,302,631,587,181,
994,747,883,999,904,256,546,400,526,487,931,548,411,264,424,030,458,168,301,
242,655,255,890,015,472,379,972,118,579,560,539,682,354,793,889,322,748,635,
693,048,443,656,945,978,340,191,994,410,361,702,910,436,621,570,239,752,536,
739,263,946,398,387,028,179,106,637,245,750,032,904,493,039,021,835,928,816,
902,903,743,630,409,059,709,771,393,885,440,859,293,058,917,374,811,599,261,
980,007,279,317,206,175,921,674,103,770,941,637,611,443,546,160,410,571,825,
517,403,782,739,062,700,300,950,014,265,106,879,175,775,396,452,794,218,594,
425,407,349,734,999,806,767,476,932,400,976,259,060,686,686,621,684,185,484,
878,769,099,383,572,867,983,268,896,924,132,769,770,256,368,030,320,017,002,
991,734,286,660,833,016,743,742,472,750,823,948,851,103,796,252,713,700,596,
384,522,023,863,531,674,255,784,717,323,076,887,872,901,255,749,758,577,248,
678,260,098,273,973,140,169,643,004,127,304,510,884,259,675,394,260,588,645,
193,726,574,204,120,044,848,727,940,388,618,587,928,182,224,806,679,375,530,
396,471,227,905,174,731,935,464,750,453,416,532,465,731,427,576,523,389,307,
611,037,098,271,442,502,481,491,966,731,835,130,946,014,482,944,481,466,422,
094,861,929,086,648,415,998,994,016,250,816,822,855,913,217,628,540,947,566,
112,036,825,209,105,722,470,993,988,912,809,735,281,039,116,059,507,422,737,
568,933,058,922,726,896,001,110,277,369,213,176,541,288,783,496,138,772,658,
683,816,851,434,582,376,229,252,021,297,234,402,115,018,832,586,206,623,856,
452,255,701,780,141,185,004,100,982,434,129,807,066,731,373,398,320,076,670,
683,981,652,514,103,995,523,261,322,947,150,669,431,777,707,493,414,533,326,
389,039,326,355,906,758,825,415,566,953,144,669,228,241,763,956,854,465,273,
200,389,404,054,694,618,090,202,266,829,505,149,572,243,721,538,594,959,726,
288,289,660,514,061,736,466,453,455,910,136,622,846,414,184,076,585,910,124,
682,422,156,118,108,333,854,323,824,499,896,802,818,284,283,609,134,700,423,
234,087,864,377,825,248,902,111,344,309,550,573,755,517,603,152,723,022,364,
086,187,100,868,873,216,802,526,487,990,459,743,414,253,379,277,941,436,788,
423,876,750,574,442,960,600,451,187,766,735,923,520,631,189,880,535,041,145,
011,039,480,236,560,107,553,143,503,029,796,936,149,955,714,122,482,484,246,
063,084,930,015,884,607,193,997,720,814,699,712,131,400,151,368,779,158,795,
050,730,394,626,947,931,225,866,257,894,561,653,417,186,223,020,475,041,914,
769,151,845,234,159,997,558,093,238,178,878,271,073,444,378,691,308,110,917,
763,414,486,185,249,804,594,030,872,123,087,534,422,356,302,859,169,765,684,
088,013,199,553,839,633,084,540,477,062,508,360,763,820,215,001,205,331,441,
590,865,445,913,516,264,457,167,328,769,452,502,477,071,661,441,172,331,032,
011,140,073,787,268,679,880,536,966,758,263,267,635,939,590,805,200,981,459,
283,880,409,373,969,186,825,982,433,385,580,175,290,526,243,862,498,040,649,
987,789,604,510,857,028,099,405,866,463,812,159,721,657,284,988,629,662,748,
821,739,438,910,847,975,409,066,980,384,390,602,104,020,047,111,493,204,339,
034,233,411,153,003,001,832,655,031,355,812,436,283,237,834,860,768,298,042,
559,099,256,737,360,029,391,378,513,632,832,757,597,754,730,461,099,368,086,
776,602,023,752,269,976,212,995,720,320,914,055,657,736,526,490,420,553,291,
609,766,193,079,482,786,385,868,404,243,904,564,300,026,784,152,251,433,583,
040,816,255,466,817,012,694,655,337,489,888,411,617,182,647,363,890,443,472,
094,724,712,397,011,390,134,916,193,228,957,838,428,295,314,642,611,724,564,
355,341,206,113,212,481,127,888,186,302,844,145,477,109,310,264,839,688,822,
993,990,195,162,969,099,637,184,353,392,417,040,012,713,415,972,253,045,994,
871,263,505,301,080,126,823,519,096,143,159,796,275,952,346,183,279,672,664,
682,669,971,978,054,513,510,276,596,276,363,739,149,667,161,969,600,196,269,
440,196,439,744,079,743,240,651,470,998,089,788,765,794,914,983,857,211,647,
624,000,951,452,595,756,689,877,435,303,302,626,645,747,015,556,502,719,294,
388,257,844,664,869,244,472,903,362,418,239,499,774,235,330,284,342,827,362,
422,904,294,979,248,372,557,560,825,196,856,456,208,850,683,727,533,411,475,
614,349,446,703,813,994,329,612,822,453,725,691,644,511,656,253,957,660,202,
829,476,918,056,626,897,781,196,934,745,485,201,439,386,042,719,085,427,669,
631,620,525,691,288,244,491,202,033,373,997,873,783,521,047,355,921,332,871,
259,144,762,830,973,315,373,807,356,477,558,612,964,268,263,008,253,982,379,
033,256,721,497,689,535,904,961,664,634,522,381,080,390,872,887,970,797,908,
526,941,520,856,764,585,706,414,289,329,730,005,581,788,861,779,853,485,691,
745,963,111,895,455,977,913,394,163,827,584,252,229,679,174,239,322,568,512,
942,582,831,186,087,631,806,720,619,616,191,856,405,766,296,690,674,968,415,
083,178,085,159,655,797,531,759,868,048,197,218,402,084,908,434,834,723,301,
614,850,849,318,154,534,323,674,457,406,579,941,862,512,123,214,121,196,710,
511,779,644,907,627,797,939,505,177,021,863,080,363,364,476,502,197,412,863,
773,082,480,986,065,160,820,675,939,273,755,322,544,580,749,963,305,422,904,
613,195,153,021,158,836,909,240,929,892,367,629,442,061,061,959,681,679,041,
997,883,824,979,344,057,647,790,537,839,057,275,525,352,999,167,989,636,441,
743,810,864,948,251,668,542,020,870,203,906,441,842,795,480,145,442,933,623,
609,253,892,006,196,344,920,437,062,350,960,824,958,635,758,016,492,624,641,
281,170,951,661,404,508,828,242,924,987,652,193,267,088,112,479,791,407,281,
866,498,827,758,731,467,952,674,790,475,843,729,020,223,796,566,707,520,377,
306,569,204,224,333,575,112,968,121,660,407,261,541,273,951,778,199,251,652,
167,433,233,103,648,869,571,895,415,227,285,110,457,802,336,460,289,492,574,
079,649,803,653,981,533,617,622,229,116,165,928,146,637,006,953,101,990,909,
660,244,074,086,767,313,060,733,006,039,772,897,499,464,983,489,747,390,540,
328,637,603,124,949,385,724,543,291,018,959,739,562,527,855,174,469,758,248,
101,994,561,003,299,625,147,280,888,690,884,855,767,374,101,435,992,262,745,
699,310,129,005,771,473,789,638,724,418,256,673,329,292,338,095,241,968,209,
411,737,470,049,179,897,825,822,360,411,202,386,961,192,243,885,374,196,864,
639,213,611,533,458,718,434,271,099,238,146,038,365,329,585,613,131,891,983,
331,060,242,306,272,462,204,014,054,016,954,545,472,733,218,312,349,591,486,
046,305,272,955,569,231,956,494,560,126,780,818,651,680,275,867,161,913,309,
832,391,250,390,099,246,638,793,219,487,721,547,552,853,277,314,552,820,791,
809,939,865,480,176,191,242,172,096,112,772,385,778,913,128,659,009,406,260,
285,148,514,239,744,405,578,867,346,499,134,132,206,560,813,590,027,571,794,
709,773,114,968,329,194,718,386,055,559,978,779,863,802,666,196,739,720,485,
259,994,955,468,009,642,381,807,316,062,339,945,571,216,505,880,462,658,531,
346,824,495,060,687,795,170,910,992,123,450,732,717,260,776,569,382,861,287,
685,372,383,452,210,187,360,078,676,422,961,731,801,664,321,400,541,205,181,
192,526,187,684,750,038,761,460,862,021,138,589,077,179,049,353,930,650,643,
198,398,974,631,784,022,313,470,703,947,825,678,573,425,905,797,814,989,794,
420,245,152,253,925,353,193,951,130,406,102,947,329,247,278,260,404,293,405,
780,313,599,240,063,691,006,450,631,838,335,569,096,181,702,006,163,638,214,
433,349,010,684,784,766,395,094,955,856,717,533,639,940,812,913,741,306,294,
470,423,809,755,494,777,865,208,192,221,033,113,667,391,187,567,378,167,937,
454,973,119,777,332,759,335,221,673,147,256,564,022,635,510,373,886,576,459,
295,386,770,773,965,887,940,078,680,457,015,966,823,620,807,310,602,986,364,
830,170,505,752,488,987,634,265,188,387,098,295,533,490,522,371,927,228,799,
540,419,839,474,380,239,914,101,555,457,893,653,646,802,509,208,452,323,161,
763,257,188,031,318,119,682,996,031,504,240,318,436,532,429,333,502,785,541,
900,560,389,817,583,804,796,513,820,067,881,104,249,083,265,068,287,562,980,
058,107,229,879,237,503,828,496,758,746,161,586,768,427,339,101,389,753,423,
986,792,588,439,234,631,986,377,389,657,364,716,521,607,054,979,286,176,254,
257,164,062,620,770,519,950,372,558,781,889,862,096,921,660,962,108,349,734,
222,472,514,011,316,290,409,425,856,540,953,427,379,379,865,875,965,103,852,
111,249,355,940,489,706,257,307,083,159,235,744,775,299,030,186,439,904,185,
648,506,175,728,501,897,535,225,909,490,849,984,353,645,104,598,167,104,250,
667,622,382,346,095,690,171,165,391,314,537,186,798,837,384,488,778,956,703,
556,317,244,915,850,875,796,861,572,120,437,135,315,906,278,238,413,773,693,
781,431,036,236,055,039,583,508,371,514,336,814,349,454,946,019,525,669,685,
117,427,959,636,040,815,746,340,177,638,324,558,283,202,322,589,609,921,051,
958,459,782,723,050,245,788,856,216,189,607,424,706,694,424,708,797,625,928,
536,386,003,705,389,934,307,668,367,227,878,909,027,286,986,527,121,752,592,
229,807,277,078,319,047,482,954,201,838,554,017,781,345,766,613,487,772,041,
766,624,373,906,042,272,751,946,354,829,488,151,907,961,920,352,710,539,077,
344,016,937,455,167,564,390,746,519,797,164,516,983,254,829,333,844,202,699,
097,516,356,616,721,863,372,499,962,625,702,992,161,965,768,200,999,939,033,
986,518,585,608,663,564,931,078,785,283,881,779,906,230,890,008,787,308,088,
107,884,208,594,278,208,756,876,068,470,963,791,109,997,368,657,553,414,307,
809,993,395,084,527,745,170,461,112,405,048,705,327,846,839,877,539,386,297,
348,008,947,155,277,651,321,429,376,958,810,062,089,479,646,856,981,518,384,
905,860,776,908,454,293,502,420,530,650,135,307,703,591,567,636,121,105,524,
235,742,147,722,274,409,698,592,571,633,456,921,801,447,072,710,751,657,697,
760,204,115,801,029,923,963,225,017,635,293,505,263,642,225,153,718,700,865,
704,118,273,607,483,928,310,474,071,887,426,977,342,266,588,696,340,428,522,
375,615,222,251,824,638,343,920,288,438,003,803,755,556,063,695,627,108,999,
883,370,696,676,801,459,714,359,243,063,053,682,544,912,801,604,398,451,044,
215,855,680,021,394,016,526,510,304,156,764,057,039,148,753,836,880,370,599,
097,490,524,156,844,816,318,118,878,124,918,657,239,595,803,776,709,750,076,
651,761,644,947,526,556,560,285,194,507,385,525,306,948,218,095,980,768,878,
911,178,786,081,871,497,906,739,843,942,802,259,088,539,853,919,906,012,670,
420,533,140,988,881,895,676,029,388,349,918,616,630,657,499,051,171,791,463,
587,254,150,945,289,596,712,642,742,000,514,508,130,237,704,251,694,685,292,
732,030,045,108,770,547,211,466,225,744,454,972,299,955,464,537,175,347,448,
423,345,869,084,784,537,446,378,915,154,831,637,023,421,563,423,076,056,330,
969,644,038,968,522,983,531,266,783,529,606,652,210,949,905,536,134,626,276,
326,782,034,992,079,520,314,739,326,893,466,580,754,491,883,354,562,044,338,
039,981,645,163,248,990,065,540,931,968,522,538,503,577,966,891,102,029,923,
974,149,931,055,720,383,368,869,210,410,784,715,732,336,240,462,961,720,121,
224,526,168,413,222,129,360,811,734,925,325,042,446,061,388,881,965,448,595,
492,079,468,944,748,482,749,368,210,700,849,978,951,093,237,764,304,149,282,
441,208,936,936,997,652,556,442,581,879,627,410,870,626,025,474,981,139,533,
211,296,813,569,226,478,439,628,149,487,827,010,676,428,102,266,532,690,314,
220,706,367,461,217,088,660,707,217,981,163,856,751,443,146,011,841,822,045,
981,885,150,846,280,254,594,122,384,936,643,091,409,290,852,587,949,057,897,
003,927,066,846,299,588,577,250,808,442,359,176,933,369,102,810,017,523,510,
365,894,575,887,952,944,531,963,387,860,943,229,469,593,444,623,735,035,262,
745,944,344,399,405,345,492,546,086,843,050,928,557,242,938,684,236,239,789,
891,413,530,660,005,147,480,176,011,374,845,693,430,805,690,471,580,154,263,
319,928,775,272,311,160,629,541,044,981,383,455,287,182,149,236,154,973,140,
303,407,000,998,322,501,203,459,844,714,771,905,015,235,298,246,670,174,423,
204,221,060,320,964,073,346,148,809,355,723,486,491,665,780,943,500,302,112,
411,674,928,063,908,807,336,373,368,186,326,056,406,891,313,037,761,110,444,
963,115,908,667,569,498,656,476,286,677,169,126,081,534,740,347,178,970,219,
442,759,588,820,495,957,898,163,737,387,769,457,663,641,069,912,454,158,409,
486,745,167,194,520,144,777,666,693,586,063,635,502,434,646,912,605,630,508,
516,416,240,609,714,323,481,284,359,641,868,044,551,504,680,857,061,282,875,
049,296,799,929,584,306,308,657,164,156,214,580,702,884,119,192,882,846,110,
711,903,154,146,907,222,225,759,410,137,424,302,180,616,240,031,075,884,053,
073,371,500,871,227,880,525,532,841,018,624,842,569,518,748,786,861,832,137,
149,883,251,325,409,477,885,708,484,424,786,018,141,427,455,294,221,980,681,
444,701,101,484,077,750,891,091,018,343,829,100,415,008,528,629,962,447,152,
139,080,355,259,834,665,029,813,776,954,196,404,513,523,911,314,586,062,329,
585,456,052,147,675,236,369,504,109,374,857,509,675,831,726,841,205,064,070,
071,665,831,545,155,746,141,684,968,077,590,544,677,870,263,623,099,295,021,
525,911,930,747,318,699,963,387,335,344,620,726,790,571,662,643,480,698,129,
970,361,808,853,812,199,788,814,604,993,305,925,527,935,949,395,075,877,378,
052,178,430,558,218,449,032,076,223,443,160,467,046,365,571,695,119,302,856,
269,621,858,995,026,611,237,230,041,362,273,299,620,909,661,636,237,678,931,
959,181,106,055,324,497,378,925,899,473,686,397,763,502,926,403,314,397,913,
221,538,605,154,272,946,948,904,876,570,959,735,168,017,814,932,340,765,539,
014,979,875,972,773,312,069,699,777,774,067,768,783,347,406,977,673,470,800,
902,112,504,384,655,792,757,534,584,318,427,794,109,408,690,781,784,442,514,
974,769,604,995,525,447,022,599,834,375,872,230,335,008,635,284,171,947,507,
369,981,568,138,823,826,661,014,680,466,364,007,999,611,397,797,050,571,554,
623,493,278,283,374,735,532,346,052,277,279,596,774,150,736,786,656,790,345,
521,895,135,207,284,484,127,212,532,713,510,759,879,554,989,723,898,974,264,
608,176,372,201,226,160,545,104,089,799,400,630,476,446,193,825,969,736,279,
893,743,815,293,960,088,031,098,052,863,133,102,959,076,975,160,496,159,646,
207,091,220,231,769,173,277,280,083,887,313,993,098,892,953,566,202,558,034,
879,667,315,081,707,376,626,471,781,638,818,380,172,279,461,144,199,704,535,
645,144,701,614,878,267,341,982,576,156,382,175,882,347,478,730,876,222,187,
327,075,647,766,868,898,520,240,613,120,886,399,891,213,980,525,595,354,710,
905,610,657,367,784,779,694,251,669,218,171,592,156,027,770,175,598,820,899,
886,128,604,849,843,465,849,462,433,737,759,772,404,029,460,959,830,996,453,
280,821,588,591,668,531,106,633,568,085,074,626,205,123,301,906,014,110,106,
494,671,822,631,578,332,273,181,402,112,748,148,516,316,517,560,113,767,985,
789,922,702,089,208,190,175,195,687,957,477,859,049,176,910,267,463,671,973,
002,307,608,072,203,025,941,232,772,855,969,919,567,239,705,290,309,421,177,
962,930,021,751,335,209,678,360,807,138,897,919,710,119,868,133,505,021,204,
714,592,928,345,006,779,570,750,465,433,511,088,214,097,739,717,946,702,282,
561,801,313,911,949,806,893,612,785,178,338,751,801,007,334,603,292,780,854,
054,580,243,740,415,859,238,483,478,746,256,131,564,737,594,895,150,810,091,
882,740,775,211,783,415,029,123,821,373,047,867,982,601,046,830,444,012,474,
273,317,860,663,226,100,496,157,502,839,281,067,156,103,023,074,039,983,907,
559,815,683,476,806,757,404,872,624,518,805,598,522,591,534,509,901,092,357,
084,434,927,622,696,355,044,288,230,633,653,286,370,190,352,513,447,980,653,
954,688,166,097,547,304,340,071,200,160,750,781,272,012,470,541,088,148,438,
615,396,900,408,349,677,530,016,645,147,032,975,651,832,950,758,298,473,986,
816,028,136,116,106,083,630,984,132,799,535,566,144,220,170,267,176,813,414,
450,132,303,383,747,803,145,858,137,813,817,812,478,504,840,677,270,978,030,
823,692,203,332,683,786,703,702,100,787,327,192,142,272,652,102,066,368,334,
154,665,006,680,121,034,505,658,635,136,742,722,812,249,784,271,358,145,687,
940,397,801,441,770,944,468,085,020,520,546,195,599,258,296,164,825,771,357,
270,346,042,973,231,551,538,339,711,858,736,242,056,060,252,712,678,662,772,
379,819,293,775,173,266,698,150,480,767,239,530,963,135,185,175,977,370,114,
217,841,778,570,205,226,219,752,870,005,252,936,854,447,881,158,350,976,461,
281,776,869,720,369,874,028,324,764,919,001,235,174,354,783,904,835,844,216,
193,715,524,698,718,438,944,561,999,799,111,125,792,471,516,893,212,850,311,
984,154,757,873,518,145,228,217,568,763,639,260,292,782,666,506,699,418,359,
589,527,742,394,789,011,894,372,690,964,896,594,228,152,784,783,768,652,339,
105,706,242,871,122,293,251,989,380,586,373,249,580,493,991,988,310,484,034,
053,225,868,753,440,189,100,773,136,921,178,442,424,064,479,713,599,990,541,
115,540,911,204,502,447,059,744,541,028,395,347,405,548,800,867,678,001,328,
428,634,019,568,687,490,553,748,111,765,351,207,496,456,541,214,795,485,369,
946,476,739,342,216,209,374,323,676,613,322,584,502,437,393,718,342,470,375,
940,346,478,156,955,149,629,537,234,670,172,334,026,617,530,034,519,283,068,
432,380,645,175,774,609,736,567,405,658,559,062,706,729,651,737,219,022,474,
584,666,289,782,775,316,212,444,837,103,653,455,268,524,538,185,560,587,389,
910,360,823,913,759,247,277,951,972,374,224,906,295,019,422,288,893,443,175,
812,318,785,203,205,716,063,948,328,575,431,576,956,440,812,794,106,420,537,
634,021,667,261,607,654,042,237,674,118,117,155,901,151,026,482,636,846,277,
612,813,085,508,529,295,002,757,107,022,637,059,028,394,981,779,797,837,708,
125,871,392,215,338,118,011,233,343,438,496,665,074,675,224,048,798,614,427,
888,302,356,178,680,559,318,983,825,753,508,960,619,994,776,708,285,278,338,
159,419,007,822,498,032,106,603,949,621,622,079,286,281,741,899,873,508,768,
751,504,144,801,685,519,202,338,849,307,322,262,165,129,648,525,354,681,763,
055,113,297,254,085,513,036,212,712,923,050,813,447,536,884,076,632,215,406,
009,030,343,960,252,913,263,663,006,873,196,223,509,923,401,287,209,130,237,
185,059,099,131,250,356,621,136,082,582,034,039,586,148,102,667,683,074,213,
266,417,242,249,263,647,109,796,524,181,222,249,073,461,082,687,787,111,163,
496,861,723,308,697,105,687,562,536,016,289,873,936,259,635,551,907,072,076,
789,902,978,415,118,821,646,527,719,801,874,332,110,125,403,075,742,300,895,
050,079,920,305,535,509,405,280,747,390,895,738,286,875,189,978,835,187,667,
152,822,328,136,359,336,180,360,554,815,855,703,187,563,547,206,310,536,420,
729,803,183,776,692,302,178,572,192,454,389,190,782,378,003,970,408,790,790,
410,722,426,786,929,287,457,793,175,843,385,450,742,330,799,714,621,893,252,
415,981,514,674,385,888,288,859,673,153,138,777,597,029,134,570,345,045,560,
755,733,977,057,196,172,713,287,635,675,771,697,116,994,420,869,182,797,720,
439,334,040,300,476,152,664,398,505,012,681,620,346,886,265,500,312,258,238,
998,031,660,971,220,970,786,872,472,718,842,018,119,479,143,240,392,993,353,
226,802,382,270,677,368,626,050,414,024,108,046,283,582,300,705,297,598,376,
325,221,050,599,065,987,878,615,187,924,624,175,349,943,301,919,710,606,661,
082,894,414,025,987,528,366,850,946,326,605,602,828,212,690,507,032,114,002,
785,851,269,886,156,239,829,377,633,842,957,428,508,679,677,225,699,420,552,
358,360,744,404,218,096,534,186,050,085,089,825,680,689,205,279,455,982,080,
369,894,161,658,344,041,541,807,567,589,997,329,538,184,017,249,497,669,700,
737,152,582,048,207,464,188,609,926,142,711,712,931,640,284,587,007,223,982,
316,589,493,523,242,160,743,044,532,301,091,178,095,965,259,177,989,668,565,
271,729,780,354,484,273,803,842,832,695,538,132,862,037,840,145,040,885,960,
328,448,059,957,806,109,967,586,487,385,405,472,071,141,396,161,060,878,241,
792,638,255,127,215,127,009,719,355,459,581,903,511,979,028,857,693,159,064,
474,513,818,159,947,903,997,258,803,304,713,679,904,474,980,088,340,792,578,
093,563,399,039,048,659,064,035,328,998,878,295,250,052,899,697,490,994,384,
922,408,453,701,262,966,053,813,600,553,053,295,125,159,549,857,815,175,366,
941,000,520,224,015,796,630,082,108,514,493,715,805,378,219,081,153,483,990,
068,049,516,607,539,910,591,359,715,302,215,723,484,946,153,431,791,658,684,
853,713,794,000,404,261,255,849,525,818,332,038,656,029,099,297,650,197,947,
255,181,389,386,226,768,602,384,005,047,981,849,233,315,715,915,147,553,476,
860,280,142,512,367,526,664,783,327,964,939,278,670,484,773,164,653,153,275,
261,542,298,318,292,983,606,905,929,520,652,649,921,175,750,225,223,573,522,
986,786,317,894,073,041,660,046,893,782,283,368,893,319,941,910,629,395,532,
878,961,460,183,396,110,214,940,308,740,529,516,883,419,912,986,417,681,674,
764,847,397,036,826,885,141,759,207,855,582,604,849,905,413,495,830,748,739,
713,393,221,103,612,448,666,754,509,700,478,429,426,413,913,789,942,646,503,
351,931,054,366,971,007,616,730,133,812,761,553,607,787,939,317,385,453,127,
291,083,999,251,641,140,607,615,838,392,540,600,994,220,638,804,346,286,202,
880,169,398,104,550,905,248,452,158,571,490,858,630,765,809,203,794,029,275,
192,224,380,839,054,121,707,040,143,360,227,800,216,515,519,639,273,032,540,
421,198,287,328,985,596,413,483,487,131,302,090,348,922,460,024,806,798,551,
170,288,178,260,945,679,443,287,120,409,860,097,727,289,609,745,218,280,903,
714,944,217,130,599,559,289,995,563,492,026,824,811,140,197,338,767,376,977,
598,863,741,034,866,142,901,769,184,423,459,955,539,992,282,856,488,485,720,
311,276,504,700,280,775,082,747,602,497,725,191,933,818,323,143,504,991,867,
227,757,913,018,502,914,697,285,166,804,315,647,816,908,839,978,729,523,559,
168,725,357,444,907,542,215,142,605,957,856,766,425,652,851,078,823,724,031,
726,275,628,775,988,996,031,059,238,532,796,626,015,168,663,116,218,571,672,
455,622,055,329,466,330,430,121,609,393,688,045,503,096,234,570,556,674,450,
891,073,162,479,549,229,750,280,176,935,722,578,442,284,273,198,599,824,295,
188,561,670,619,341,751,441,556,823,748,461,313,278,563,919,187,991,163,395,
169,249,001,447,572,126,639,841,656,057,122,039,599,336,345,644,450,859,408,
313,666,980,971,472,108,531,304,200,499,362,022,124,478,067,752,995,436,835,
296,430,284,511,143,384,356,089,517,248,847,492,426,597,921,802,490,298,044,
944,184,230,684,783,181,840,635,345,297,824,031,192,298,369,762,376,416,590,
200,812,892,622,664,120,449,087,711,130,867,606,574,314,653,201,401,482,767,
827,670,106,519,202,384,760,483,788,963,384,355,182,840,951,552,209,004,268,
083,187,571,209,370,772,909,702,216,254,361,052,334,652,188,403,004,899,422,
926,528,228,354,935,388,492,259,000,105,216,561,607,319,160,529,369,142,550,
679,251,513,275,123,505,405,879,145,127,946,663,624,546,376,266,218,631,628,
232,741,303,444,938,660,091,232,317,802,273,563,150,029,288,336,108,208,091,
073,407,321,133,589,082,191,811,774,870,122,322,800,227,197,282,397,745,720,
130,831,433,599,316,143,741,270,429,185,808,830,845,721,173,922,286,721,293,
548,707,483,613,739,357,830,035,129,954,493,916,926,057,628,151,524,148,987,
248,514,093,260,371,964,819,482,342,771,024,967,979,721,831,822,005,306,332,
247,981,685,850,710,701,761,280,649,999,458,749,016,328,121,363,676,125,489,
261,663,792,580,451,491,037,774,102,701,212,979,517,585,324,091,624,112,714,
557,018,280,603,188,122,431,592,131,200,076,481,183,602,566,476,173,246,992,
907,909,148,089,041,859,527,287,897,119,585,982,049,214,309,103,999,953,064,
004,115,820,118,919,258,885,752,964,765,257,838,400,416,496,807,109,364,456,
642,577,907,532,939,989,838,671,821,834,795,125,518,440,212,614,668,349,181,
178,600,494,443,647,237,719,267,252,063,974,495,941,904,615,998,484,044,565,
441,862,502,999,814,849,492,008,479,929,809,786,645,958,191,280,534,917,476,
659,272,286,788,990,641,422,196,759,792,523,136,956,762,229,377,904,065,817,
072,764,161,304,871,252,495,535,538,340,427,501,356,239,682,991,409,419,168,
864,472,286,637,582,250,631,980,203,916,249,559,700,007,453,025,062,983,465,
245,817,159,678,196,702,786,657,653,619,667,029,044,965,211,706,032,477,959,
855,259,215,817,939,575,652,938,395,741,963,353,031,455,662,083,482,522,953,
304,890,805,274,126,466,436,090,126,276,467,132,684,080,226,891,711,593,736,
381,540,369,400,644,764,387,692,645,626,703,558,063,745,848,461,445,717,081,
909,166,119,166,989,756,052,557,958,854,358,132,194,052,281,857,024,059,359,
585,816,323,037,093,991,680,850,776,364,751,113,240,441,371,912,045,281,976,
390,245,659,792,989,238,076,190,326,920,147,720,778,474,341,616,592,455,155,
447,581,330,993,568,621,628,022,551,270,191,763,410,005,120,911,941,348,598,
149,986,870,234,567,138,112,451,785,468,206,339,256,530,753,868,664,258,120,
505,950,920,214,338,062,609,964,240,077,952,350,105,824,075,499,940,031,709,
395,614,118,612,818,420,428,416,635,499,023,245,397,284,336,160,857,809,275,
994,440,149,065,859,258,224,771,342,770,705,189,760,018,561,491,029,898,996,
640,332,249,654,063,033,221,419,150,351,102,562,893,088,080,159,345,982,008,
670,659,765,596,482,420,304,252,827,130,969,367,934,281,523,361,289,752,909,
934,622,510,842,249,084,060,957,504,137,520,426,029,427,984,439,556,083,211,
567,205,863,590,900,767,515,886,514,987,967,411,224,282,764,332,166,468,119,
780,662,140,572,782,007,224,936,521,043,048,451,880,623,249,631,222,609,530,
351,003,965,371,563,217,912,594,319,855,661,053,849,496,240,975,032,432,249,
346,308,158,718,211,072,053,611,491,360,099,648,784,607,909,233,344,681,168,
722,411,447,818,209,162,829,013,693,084,235,985,559,367,650,888,817,749,653,
880,913,111,984,002,574,992,991,998,743,340,389,333,948,361,425,736,539,000,
845,196,377,780,289,438,443,352,667,315,695,337,587,766,218,134,774,856,365,
536,720,044,072,951,509,096,478,420,045,050,814,090,860,316,144,326,069,418,
971,610,551,389,008,262,632,328,459,190,107,235,468,500,540,108,514,379,816,
406,976,344,741,265,572,140,687,387,212,238,557,970,352,629,721,098,305,270,
574,284,913,935,501,666,993,622,099,514,687,325,964,147,428,894,102,994,114,
396,652,903,572,579,354,478,165,296,636,281,051,368,789,932,642,910,776,758,
638,611,688,376,955,899,931,699,547,568,747,224,492,029,259,081,954,477,781,
124,306,271,003,225,411,380,557,407,573,247,687,178,762,436,233,219,504,532,
409,161,056,829,546,953,528,095,461,536,825,837,523,812,790,229,709,186,445,
214,107,519,561,255,606,425,840,068,738,247,041,297,907,096,863,550,784,964,
278,024,782,261,875,083,892,163,924,876,681,035,882,543,751,435,372,635,791,
067,788,949,419,144,548,152,358,745,273,493,218,253,236,901,668,900,479,650,
237,571,531,971,880,917,167,602,911,262,521,661,764,796,593,370,186,868,667,
727,492,015,370,378,590,882,904,647,013,916,181,474,893,548,927,793,762,571,
948,754,186,651,138,849,386,026,093,347,891,273,191,958,859,049,966,972,897,
786,461,838,203,939,808,730,103,762,792,473,987,984,389,955,648,989,277,492,
455,650,528,558,889,176,020,430,892,251,535,077,301,954,306,067,949,284,222,
179,062,992,314,022,763,436,828,644,626,521,135,942,446,213,640,609,494,443,
732,782,767,084,775,664,538,728,086,189,523,138,199,959,798,090,111,612,663,
764,589,659,655,964,910,576,688,467,315,551,626,826,830,203,601,794,214,280,
203,922,596,966,841,486,044,966,849,455,470,284,514,282,446,604,084,848,847,
777,624,227,149,255,254,096,416,166,100,616,529,452,820,897,564,704,339,070,
519,469,001,237,164,168,451,881,500,125,634,683,299,174,717,433,221,682,285,
379,784,257,321,351,767,503,717,725,988,163,849,730,022,385,868,707,162,052,
191,681,344,233,103,702,170,155,239,215,626,601,354,927,149,772,506,812,928,
973,519,698,662,110,978,277,094,256,784,886,659,137,774,856,422,396,743,905,
755,486,885,475,354,927,734,368,654,616,500,212,049,625,957,675,554,799,379,
017,904,687,371,767,922,371,205,752,019,104,242,604,870,023,154,275,778,069,
911,886,947,403,244,952,030,539,607,784,077,308,722,973,271,492,463,982,243,
410,230,541,958,806,461,334,410,274,686,845,741,992,888,874,809,330,957,204,
976,464,316,439,004,997,210,133,754,211,935,058,787,525,814,624,844,894,370,
600,896,161,289,570,408,926,637,531,754,756,236,561,911,619,093,048,178,829,
539,937,104,000,709,018,231,855,036,761,211,719,643,170,807,110,962,316,280,
344,988,498,912,798,052,184,180,709,789,631,402,552,389,538,302,139,429,209,
044,382,387,292,314,213,263,870,953,211,595,036,714,493,135,248,191,689,293,
260,716,434,771,893,896,040,369,506,683,329,786,776,629,616,012,608,732,028,
997,430,136,254,354,354,607,875,658,827,382,404,492,397,532,413,947,571,088,
762,826,927,295,766,645,668,622,204,298,998,584,133,792,029,485,718,234,639,
570,107,545,050,680,500,256,353,370,834,765,121,230,916,665,622,539,587,907,
428,171,084,946,346,649,326,164,641,191,145,001,905,986,222,830,133,767,986,
816,078,167,481,508,542,497,235,937,810,674,383,264,386,537,717,687,027,485,
819,252,108,738,537,290,896,056,884,607,908,163,251,620,410,341,572,880,312,
389,724,007,320,331,429,352,138,446,963,546,180,968,406,081,574,583,402,813,
966,658,704,715,800,006,618,937,354,073,036,009,414,541,606,134,202,324,493,
111,538,006,624,903,315,170,381,048,532,208,619,339,156,341,298,713,972,708,
486,321,546,593,272,892,821,926,839,154,175,757,505,928,335,267,632,194,947,
117,963,341,390,472,993,696,528,808,046,572,141,194,828,692,707,355,130,318,
017,640,762,486,878,856,670,581,329,141,644,023,722,609,448,376,919,863,267,
409,236,018,791,405,153,059,279,478,628,842,705,590,861,556,819,454,686,535,
413,728,032,110,132,935,816,433,621,292,043,191,493,474,101,418,115,069,157,
659,400,399,339,700,297,670,965,797,365,495,459,387,127,485,006,244,334,808,
362,157,086,679,539,421,913,576,109,231,681,195,900,718,461,595,390,151,704,
739,602,477,265,171,721,417,529,484,035,791,946,301,942,152,219,125,817,266,
514,688,367,916,558,208,573,944,231,383,117,744,715,410,761,931,687,117,756,
815,779,023,155,410,087,922,808,721,346,608,687,892,670,266,906,883,334,361,
840,623,947,609,176,933,674,116,509,372,701,355,284,510,245,865,529,347,031,
273,480,066,533,268,070,518,605,868,362,581,678,072,609,907,805,010,624,140,
332,564,282,485,590,035,826,795,699,656,485,632,619,208,955,386,713,599,634,
032,002,552,932,852,269,649,691,136,688,901,138,663,279,821,606,628,247,905,
078,586,769,123,436,075,201,309,716,227,956,593,728,143,504,459,178,862,939,
020,728,209,195,091,643,098,729,571,135,462,573,567,788,400,849,202,901,531,
107,910,389,403,285,859,074,085,669,694,777,954,854,531,619,780,121,213,829,
457,058,563,642,864,927,525,468,301,268,513,416,570,560,478,950,907,631,859,
201,636,048,688,359,999,300,155,838,507,636,708,973,919,489,438,352,567,960,
732,621,726,895,820,407,850,773,686,373,096,488,477,919,707,904,405,092,594,
319,856,339,584,110,023,130,148,325,237,076,501,041,209,575,258,995,186,357,
832,632,300,673,723,739,693,196,017,225,364,183,096,524,169,299,769,757,411,
866,381,426,738,727,357,237,156,640,897,229,119,094,136,729,989,205,795,208,
049,437,680,937,219,058,972,879,647,860,665,036,428,960,494,865,715,871,763,
514,565,282,081,374,931,581,794,978,261,399,366,893,855,974,111,066,013,147,
470,010,162,215,834,255,154,465,887,929,903,586,682,627,079,930,913,895,154,
170,514,998,979,360,246,615,967,005,744,576,685,111,373,777,326,180,368,330,
093,014,987,043,701,396,256,680,694,028,482,774,529,917,792,147,520,113,645,
438,460,868,631,803,091,453,266,179,671,530,636,690,498,964,907,831,483,338,
147,219,523,086,940,474,699,390,597,602,599,918,813,724,518,628,061,712,071,
820,857,249,374,476,582,811,937,139,889,983,748,676,031,740,981,454,979,706,
627,264,916,832,093,688,367,226,228,666,233,282,161,772,366,706,918,415,199,
599,055,432,090,301,353,707,539,088,299,541,029,797,541,868,044,164,820,534,
654,065,184,146,290,188,365,448,119,194,964,371,079,533,734,882,254,728,140,
822,014,305,329,732,167,534,830,186,814,764,567,725,301,706,177,940,741,754,
437,195,155,412,789,407,379,727,573,682,878,942,392,347,198,747,362,296,472,
995,589,721,611,670,492,897,131,854,425,353,083,406,907,912,422,684,086,321,
432,671,890,919,623,666,570,724,278,822,513,925,550,711,423,358,767,518,272,
248,326,845,280,500,319,450,881,962,425,328,790,612,586,170,413,461,401,217,
935,346,034,159,886,604,400,201,099,730,670,445,470,542,869,570,689,221,654,
957,643,163,192,051,043,917,589,579,825,259,850,924,511,625,873,261,951,752,
564,477,100,196,940,809,450,817,953,470,915,624,688,024,398,451,094,230,466,
469,001,057,473,600,211,948,302,926,597,437,246,026,702,828,824,525,745,979,
060,786,699,882,352,361,068,976,751,372,146,517,701,739,559,281,717,969,188,
532,331,298,644,335,310,948,476,174,704,555,506,600,808,833,003,261,551,756,
130,061,656,596,475,453,276,736,816,106,578,475,655,818,128,817,231,153,850,
493,191,417,063,538,698,146,971,119,666,654,571,664,960,526,648,144,230,001,
400,544,154,265,598,232,392,313,145,458,131,113,699,849,550,966,783,197,998,
664,112,874,581,257,983,257,884,752,101,370,292,299,396,499,692,176,814,425,
376,739,078,046,320,787,748,792,004,932,904,611,693,613,740,582,871,545,926,
921,246,734,535,539,266,171,033,629,142,447,937,176,835,029,529,680,499,818,
285,347,203,852,519,026,581,710,496,572,216,227,599,129,236,210,385,953,153,
794,094,494,855,358,774,732,667,835,757,185,927,508,171,092,962,932,708,579,
343,845,036,850,763,581,562,326,817,161,259,376,249,733,818,803,126,977,800,
002,909,613,689,563,182,678,821,153,863,382,314,439,332,727,143,753,001,005,
277,930,134,043,453,804,130,784,275,382,131,146,675,718,025,866,803,312,740,
653,914,895,987,198,318,071,979,818,663,759,856,053,381,629,013,012,288,855,
728,600,133,360,241,662,511,250,871,511,683,775,269,471,770,106,112,507,176,
006,380,784,982,354,613,199,417,948,425,930,268,345,728,365,943,855,291,204,
402,338,773,011,984,869,494,402,597,386,458,025,975,347,995,296,298,515,162,
794,592,206,045,303,300,790,203,848,595,637,118,516,158,769,646,805,812,238,
962,197,832,775,727,805,844,520,951,252,627,763,727,732,488,128,840,153,938,
950,464,778,925,172,168,163,853,271,090,240,509,779,381,863,296,576,469,885,
461,479,828,355,457,874,592,204,917,283,341,770,181,426,267,280,318,898,123,
071,326,243,245,665,513,543,791,911,493,221,650,154,829,491,008,154,164,360,
806,368,018,868,534,824,605,866,980,032,367,815,897,178,381,276,164,710,952,
296,185,591,127,967,298,052,001,750,433,384,269,195,956,086,326,081,040,423,
368,451,880,848,154,040,895,736,816,062,661,267,965,558,987,640,621,762,010,
045,804,910,577,544,719,125,004,647,325,134,425,809,043,408,242,636,318,387,
142,112,023,446,641,989,706,983,064,961,432,667,925,128,391,921,106,197,857,
538,796,905,806,223,185,325,997,919,382,771,144,840,316,392,865,576,782,968,
520,525,686,581,250,696,465,265,089,740,633,888,476,577,970,471,225,599,962,
712,112,050,781,359,477,296,567,797,898,897,855,207,294,799,882,229,477,693,
476,438,776,347,334,842,820,245,633,801,268,720,473,031,472,638,189,235,140,
988,718,933,216,666,248,682,008,163,238,970,486,573,080,091,324,629,378,584,
428,519,853,241,862,807,416,755,907,749,851,622,920,961,134,498,031,486,545,
621,933,837,377,665,075,775,557,276,190,924,461,059,198,257,015,287,347,008,
660,896,838,743,555,055,914,260,609,265,875,159,384,773,524,683,409,572,969,
935,170,275,435,761,057,344,870,169,107,090,581,197,704,708,325,064,343,984,
623,461,617,270,738,589,765,091,929,757,817,318,447,175,653,066,231,928,305,
004,216,729,118,339,055,739,876,446,129,301,982,641,209,786,593,455,599,928,
318,221,865,663,967,981,467,475,275,845,585,776,859,192,125,088,937,281,211,
847,280,702,482,954,982,127,087,691,923,406,126,945,948,067,249,625,611,749,
447,210,016,319,052,629,965,922,139,999,696,638,773,501,658,962,553,912,983,
111,272,469,873,033,427,017,656,648,246,340,083,952,835,726,099,818,289,877,
162,213,652,644,330,791,688,946,762,525,003,065,577,736,082,367,058,116,721,
641,056,769,530,234,325,167,048,617,513,321,323,717,028,116,615,632,527,645,
457,945,936,413,944,564,740,903,193,797,474,124,846,664,866,840,659,509,331,
311,103,324,210,266,159,923,833,996,418,152,676,621,999,955,218,062,713,613,
143,703,061,778,916,005,353,510,880,161,254,144,168,300,392,116,221,255,725,
750,132,244,941,780,384,473,147,920,895,477,615,439,459,819,685,120,344,568,
257,459,477,916,415,530,454,164,868,738,051,488,508,683,345,501,581,435,722,
663,899,673,434,969,935,830,427,200,647,551,756,835,518,156,551,344,667,876,
055,882,757,386,072,989,318,879,772,181,044,320,954,176,047,335,491,880,974,
472,127,203,595,934,185,258,787,049,660,600,675,429,730,963,570,100,042,349,
921,879,382,557,693,579,641,469,904,803,837,291,439,449,707,568,514,545,763,
500,187,518,634,340,053,769,284,513,933,369,040,549,032,890,147,014,901,235,
971,713,360,277,172,062,652,904,445,597,600,045,700,412,478,423,633,559,766,
352,255,073,098,123,515,289,248,622,209,813,654,739,189,525,394,298,076,384,
207,645,772,217,390,617,778,791,096,547,026,112,867,028,275,454,519,843,330,
454,900,630,004,810,813,519,424,044,985,950,409,126,894,601,903,153,006,638,
816,052,124,695,877,176,411,741,813,598,761,373,529,246,784,973,409,583,193,
061,432,208,401,626,888,496,004,418,077,263,626,123,212,017,067,767,020,803,
493,158,353,992,414,311,107,282,155,399,364,684,858,298,389,969,162,751,796,
861,668,039,938,349,662,012,625,817,106,203,509,009,177,093,068,108,575,608,
534,665,013,413,661,364,852,706,236,329,704,123,501,962,229,853,451,621,456,
103,433,069,340,195,210,758,011,012,271,906,549,917,926,063,169,094,989,029,
563,374,287,426,402,539,799,999,652,400,378,045,225,095,689,959,815,341,104,
072,645,851,099,931,316,675,725,812,589,016,505,377,732,150,370,242,585,919,
902,526,883,143,491,426,580,725,598,753,353,295,756,092,008,315,211,883,770,
829,890,610,557,343,531,792,681,137,426,241,735,029,831,528,821,230,691,324,
653,548,186,862,533,220,740,822,888,703,826,629,491,949,827,819,671,414,146,
733,542,121,359,660,958,649,950,238,440,848,165,552,521,626,899,705,409,772,
915,857,723,988,001,785,772,443,167,765,349,164,405,684,944,087,075,346,723,
050,067,311,013,033,743,987,996,008,286,897,993,939,639,957,372,270,805,182,
909,586,686,823,527,383,277,585,172,271,247,911,636,180,606,967,855,748,653,
666,998,663,642,013,629,802,152,816,345,194,049,808,218,919,159,590,970,269,
243,138,595,244,549,439,117,375,731,161,359,929,069,266,044,747,875,318,186,
237,821,549,906,544,235,797,256,695,401,835,667,369,008,426,986,194,505,419,
139,637,657,111,976,731,106,760,104,224,969,941,370,159,561,765,964,491,634,
504,245,202,668,692,043,277,864,702,197,676,825,768,534,831,430,720,416,889,
386,231,439,079,735,645,276,687,810,874,054,618,022,712,731,267,464,833,558,
361,330,538,771,716,291,948,608,572,500,561,809,091,176,966,601,808,669,473,
153,374,879,504,120,565,730,269,282,158,292,713,812,760,838,931,704,765,314,
676,090,882,109,454,965,851,364,135,906,841,323,183,645,250,341,939,003,674,
597,649,620,835,373,173,567,973,660,684,216,464,206,509,587,241,081,741,085,
674,330,685,392,991,135,635,412,707,792,857,046,823,440,718,167,830,214,018,
273,895,177,135,462,775,950,270,469,688,351,083,589,324,777,078,740,388,357,
363,331,794,100,150,104,806,485,071,756,577,246,090,102,642,976,017,750,137,
915,068,048,466,764,730,094,730,855,276,423,871,640,470,885,109,356,888,821,
293,040,014,069,332,326,928,055,826,432,962,669,252,384,444,852,463,630,910,
518,185,102,096,129,946,602,251,180,394,875,598,581,745,198,705,328,397,329,
660,865,525,459,844,563,737,914,836,418,792,267,584,160,717,861,180,985,843,
685,257,347,176,457,626,407,883,733,113,074,318,184,786,505,712,363,254,300,
891,792,813,283,513,357,404,151,489,613,615,722,597,832,493,294,060,371,721,
428,159,787,748,135,235,860,300,723,216,701,091,243,082,925,066,215,505,618,
266,780,942,992,962,599,142,200,766,015,949,430,780,928,850,009,931,013,022,
780,416,287,798,609,768,970,059,438,394,287,981,370,721,589,380,239,293,006,
433,487,261,491,531,413,642,199,127,436,557,259,301,642,707,766,656,323,740,
973,172,931,670,085,272,812,170,685,981,803,201,615,371,313,721,430,447,846,
874,489,766,184,159,499,693,435,890,172,785,927,389,187,310,229,197,275,292,
986,616,333,312,755,369,132,071,548,642,950,218,654,532,935,093,793,891,387,
089,224,318,663,941,634,097,490,061,087,162,991,341,514,831,158,650,677,710,
035,817,098,119,739,392,913,151,844,907,319,013,264,900,654,704,913,472,036,
453,375,553,563,480,416,913,816,431,751,699,561,973,062,933,757,592,318,492,
575,071,085,417,751,539,417,478,299,781,459,725,306,876,501,388,209,120,125,
819,960,293,367,626,660,593,311,966,002,127,871,128,142,053,702,645,914,793,
515,889,385,763,798,055,370,373,315,883,519,992,446,929,733,669,070,234,125,
302,005,368,193,435,410,152,792,404,242,159,290,197,261,267,938,547,612,958,
499,601,861,610,822,290,257,424,394,469,358,240,495,279,646,952,768,300,209,
668,885,468,328,338,974,024,877,024,391,210,604,931,506,427,240,553,379,135,
019,722,647,087,199,514,154,375,518,702,800,256,866,353,500,533,467,764,944,
417,300,534,925,836,888,167,007,120,063,885,784,861,488,424,813,880,551,753,
344,952,475,158,815,907,427,239,126,921,085,336,110,314,938,772,962,664,186,
773,353,074,857,524,238,175,316,837,259,010,736,246,107,747,250,895,950,330,
718,794,352,390,247,233,148,219,080,298,389,926,313,231,572,444,233,162,724,
743,065,622,855,834,935,568,176,775,292,501,147,865,071,170,348,661,685,707,
813,645,681,415,692,172,211,635,841,177,159,115,772,952,393,705,139,843,462,
574,076,624,471,640,534,166,996,424,000,268,030,980,453,390,268,169,388,855,
235,356,836,255,233,021,984,576,226,524,055,766,280,756,929,317,892,676,492,
763,686,627,557,213,537,293,324,776,673,005,075,546,709,998,309,397,433,259,
302,318,707,167,882,083,533,954,450,854,629,387,133,063,044,631,532,360,928,
890,752,853,571,413,647,176,064,329,846,361,609,506,240,690,217,505,253,937,
260,615,327,692,855,552,994,460,474,567,474,412,036,866,174,270,066,282,276,
397,616,778,525,567,170,056,100,850,664,779,958,205,216,492,915,740,373,081,
119,798,809,678,834,012,335,970,186,734,813,810,738,675,217,288,062,928,283,
502,006,744,153,317,570,289,446,626,765,641,936,696,527,456,725,476,381,320,
676,297,783,094,162,459,860,095,596,226,779,381,086,555,314,211,027,461,627,
099,422,276,623,289,480,233,593,948,972,028,122,089,849,743,998,898,160,967,
378,970,761,474,798,550,539,214,051,230,922,720,638,143,539,448,730,669,411,
984,857,071,935,480,819,761,483,158,936,483,298,413,323,130,058,235,718,451,
805,871,634,559,650,463,964,627,856,748,389,304,089,193,962,541,326,320,255,
607,052,449,917,702,745,004,860,531,275,790,243,693,657,938,968,526,407,201,
883,955,106,905,821,287,691,091,422,943,630,968,287,952,468,200,470,499,765,
767,368,185,201,831,365,009,956,302,316,902,849,859,562,061,282,368,422,676,
376,593,964,965,662,431,148,026,099,696,029,569,585,282,098,966,404,334,345,
099,734,063,343,573,212,168,194,154,399,385,716,641,259,077,226,264,926,162,
832,342,350,579,346,237,534,028,697,561,155,956,123,556,594,406,665,873,797,
741,964,108,797,995,964,750,815,561,577,515,548,740,232,585,989,128,415,624,
080,070,502,827,051,978,254,450,995,284,312,706,822,479,512,844,302,522,118,
271,076,318,485,379,496,342,582,280,192,085,783,492,363,929,941,983,059,477,
702,437,963,201,304,156,325,412,785,532,916,040,762,478,196,363,167,662,017,
621,960,539,861,558,365,337,510,192,046,383,675,619,199,003,478,007,162,880,
334,550,425,110,141,200,031,251,466,364,301,873,579,372,400,253,959,863,795,
785,725,824,410,845,543,306,893,000,322,841,787,244,135,768,764,287,852,585,
967,760,116,303,025,421,820,698,701,380,280,279,749,320,899,155,639,826,074,
994,149,189,702,827,669,869,187,016,071,865,175,191,709,307,697,275,409,371,
082,437,163,181,517,637,145,681,851,636,045,473,215,551,309,834,371,738,085,
142,665,073,756,005,737,472,115,589,430,886,793,278,034,987,664,819,088,167,
604,678,881,665,488,520,593,164,333,202,247,232,216,159,802,747,980,696,340,
316,416,772,113,034,150,185,209,530,428,146,062,041,781,035,792,497,967,431,
452,958,033,085,198,818,268,328,677,848,212,852,453,105,501,067,103,679,198,
345,517,457,299,048,737,304,698,449,394,749,591,188,723,470,734,839,561,701,
295,708,391,974,273,830,967,747,163,749,018,659,255,397,602,349,441,780,006,
589,154,621,706,508,685,214,662,259,389,836,273,832,388,174,679,039,180,165,
500,301,157,987,180,576,067,335,282,186,132,988,891,006,742,277,154,108,069,
591,254,849,789,675,876,580,480,863,652,691,448,517,955,619,081,515,439,005,
697,140,391,771,257,377,982,507,960,200,862,022,245,155,731,830,525,663,556,
879,318,706,886,970,452,477,935,065,401,980,601,513,720,127,859,128,727,824,
420,705,510,782,239,390,051,782,817,585,739,619,955,745,406,451,593,638,293,
141,868,312,848,282,377,961,644,255,120,479,024,873,396,741,756,952,071,924,
636,194,244,922,508,402,435,637,794,905,273,292,793,465,587,959,510,822,032,
709,683,815,577,947,377,465,230,304,826,114,032,712,597,586,660,043,749,738,
057,610,644,877,408,822,700,116,451,849,507,882,796,707,977,147,236,801,660,
908,128,366,273,353,823,531,924,402,759,601,107,736,881,013,137,483,182,814,
806,983,677,163,819,742,239,625,666,217,975,969,646,000,585,382,515,029,440,
040,540,781,092,977,863,886,012,124,875,366,077,748,863,072,278,006,745,723,
634,600,591,056,237,888,306,594,179,319,997,347,616,651,555,126,183,325,584,
784,242,022,300,892,271,812,581,998,909,853,636,947,947,874,900,729,517,620,
448,830,495,651,307,660,447,563,938,424,050,976,277,047,968,239,305,162,218,
236,418,112,591,751,146,385,559,096,347,235,477,613,019,923,350,083,591,061,
758,842,132,499,557,850,964,176,682,903,402,299,568,471,736,383,409,731,570,
450,020,306,687,634,395,327,815,433,402,798,593,384,566,776,262,371,783,656,
818,539,184,107,069,487,451,521,853,726,390,011,946,062,291,654,502,151,259,
239,977,874,013,125,955,113,936,551,274,799,544,316,746,444,860,233,294,558,
168,867,362,587,713,657,021,218,771,672,383,559,163,304,266,291,264,932,984,
269,384,597,365,310,773,848,755,503,113,843,997,958,391,202,354,039,537,438,
936,983,628,158,916,001,508,195,709,759,098,872,654,940,740,489,153,672,608,
550,445,605,348,614,380,161,145,637,001,717,643,281,082,672,108,681,173,756,
565,523,349,370,647,880,097,859,605,699,306,004,395,149,453,780,131,297,094,
535,620,659,704,074,181,504,917,182,918,180,177,134,757,632,429,488,481,418,
729,871,834,046,926,425,585,186,127,351,573,779,490,922,694,251,692,202,841,
151,940,006,266,315,742,610,814,644,363,331,888,890,983,168,912,385,561,320,
805,978,208,695,545,684,623,774,454,016,656,389,891,810,020,354,429,602,324,
535,035,975,490,000,475,621,908,294,519,923,779,722,300,477,246,413,555,829,
934,535,191,173,883,915,200,329,798,299,376,415,777,198,170,246,584,553,003,
112,031,413,725,739,452,137,370,541,120,403,888,552,636,148,896,498,083,063,
184,043,793,690,980,646,275,128,268,218,864,216,522,221,076,751,100,981,005,
141,636,005,430,714,777,022,385,802,738,811,358,817,491,031,817,011,838,608,
751,064,815,295,467,220,172,155,009,581,951,175,774,047,465,217,115,423,268,
663,059,678,386,498,424,489,843,674,362,727,239,762,129,764,507,501,484,672,
839,146,700,847,319,925,458,396,952,929,923,682,440,755,377,588,989,502,081,
376,073,122,391,889,691,870,834,752,138,605,097,951,484,449,002,412,244,354,
106,543,954,598,431,305,841,202,940,244,500,387,048,657,962,871,670,395,103,
073,955,710,039,263,861,050,186,793,673,940,606,795,749,255,484,054,185,559,
998,219,046,081,259,676,985,902,116,403,784,259,279,866,361,632,168,903,942,
456,240,859,325,822,236,824,641,254,331,910,395,330,449,652,568,199,022,761,
411,011,681,710,206,730,224,028,635,775,768,892,038,814,858,222,430,437,805,
466,346,120,698,695,322,448,063,020,308,491,028,612,456,954,683,550,657,400,
607,430,172,759,765,977,366,954,512,258,683,906,366,264,880,438,941,679,390,
983,068,121,135,887,298,823,806,738,792,284,362,528,876,229,726,043,130,962,
201,965,491,878,122,996,421,909,689,931,711,862,396,895,113,718,887,425,822,
159,472,986,482,587,265,786,691,255,613,400,913,322,156,081,513,943,064,387,
859,094,051,858,752,584,084,718,258,704,462,968,240,520,984,601,465,675,914,
273,067,676,907,015,500,954,322,793,549,429,801,334,600,228,711,381,787,883,
684,105,035,845,838,862,197,372,413,563,529,476,522,210,502,768,880,222,362,
146,310,017,991,539,586,477,087,463,033,968,746,652,510,852,705,920,821,216,
306,580,706,707,275,469,188,352,089,704,061,485,802,124,274,396,826,411,254,
517,115,942,401,750,552,229,194,413,113,125,806,935,577,723,694,181,486,536,
917,273,822,934,672,102,006,412,878,286,451,893,546,023,226,452,661,845,709,
186,975,372,636,115,540,183,442,122,996,254,013,428,453,092,592,545,388,893,
869,675,113,203,697,707,882,014,977,885,637,458,635,856,062,259,228,592,260,
464,950,985,001,419,609,669,886,522,682,938,880,121,202,087,523,014,541,374,
177,633,204,063,136,959,851,080,182,576,999,004,241,102,698,713,813,082,119,
749,899,429,976,970,509,872,864,440,550,331,598,872,024,361,995,528,810,336,
892,875,857,970,653,451,868,135,910,793,705,308,577,494,834,176,848,700,347,
087,891,807,184,210,675,975,887,191,565,943,521,327,989,288,968,614,007,656,
363,645,535,410,471,073,633,256,813,649,445,108,171,739,245,549,637,080,814,
074,565,026,460,291,016,752,055,284,649,762,137,845,194,061,205,420,849,564,
067,531,210,016,989,921,295,394,088,442,909,843,716,007,055,040,702,124,882,
765,090,697,980,371,644,923,075,155,616,066,886,401,575,454,053,123,005,424,
832,463,734,936,879,810,897,816,776,063,930,995,731,859,321,261,267,972,261,
428,984,956,739,337,858,263,812,224,440,862,668,024,547,173,434,521,481,581,
659,280,648,069,802,578,847,140,103,557,899,120,130,916,259,536,675,341,434,
188,213,229,270,872,183,501,992,004,416,781,387,034,778,272,925,671,599,368,
504,242,676,219,968,656,428,978,959,213,019,273,066,751,813,198,722,002,171,
444,695,832,544,582,465,621,492,146,418,294,906,251,859,543,600,604,629,746,
124,396,698,088,363,445,518,202,750,638,302,811,289,732,181,426,825,905,531,
126,581,970,073,790,066,798,051,358,917,647,403,953,900,744,045,311,933,266,
777,662,906,604,712,228,365,403,268,595,936,637,869,305,696,828,926,167,948,
002,707,628,061,692,408,226,574,426,350,029,200,466,780,996,305,277,152,403,
941,517,977,290,355,538,746,782,895,379,231,926,329,111,997,982,642,853,835,
263,366,433,987,798,927,172,928,131,698,347,063,386,084,111,714,071,172,776,
154,871,175,968,243,976,162,375,670,757,791,184,735,410,511,690,019,718,426,
929,758,610,855,526,716,504,571,599,755,966,795,916,255,405,123,956,939,305,
830,733,726,859,335,889,597,626,311,439,943,072,641,006,555,861,176,100,977,
484,310,216,372,482,573,390,124,311,883,501,943,884,355,274,291,177,274,644,
879,846,386,094,211,680,080,532,907,620,681,840,981,149,174,955,980,352,100,
850,962,354,871,751,449,788,023,004,649,630,804,701,138,445,304,243,005,766,
828,557,918,737,087,465,343,269,549,908,763,152,441,764,831,523,636,496,157,
958,300,339,226,359,737,923,306,255,649,372,712,895,850,835,843,848,395,671,
441,427,162,790,131,052,356,469,054,500,437,245,176,993,751,653,668,782,528,
149,516,793,540,375,729,233,229,472,021,304,030,707,559,603,526,901,391,187,
277,435,620,141,651,967,074,306,071,941,996,921,690,648,617,879,931,068,240,
584,521,747,218,545,030,637,187,408,855,028,059,718,457,662,409,170,092,417,
181,361,974,166,105,291,972,414,312,417,646,907,720,330,845,124,094,845,091,
635,879,612,203,192,252,415,461,902,293,198,423,614,235,467,181,579,522,187,
416,754,619,292,778,449,114,326,183,978,830,655,847,182,726,636,580,379,716,
871,358,501,978,387,961,450,318,670,886,771,752,668,689,208,539,135,526,802,
343,901,319,845,779,931,116,001,597,743,953,485,585,486,149,531,100,489,804,
746,380,673,599,457,838,452,990,158,125,903,929,200,193,215,696,834,623,623,
370,122,376,865,890,455,182,224,848,024,997,050,534,686,725,910,315,746,629,
558,881,117,197,795,533,078,254,168,488,293,194,120,030,840,190,992,554,192,
442,493,793,450,491,904,342,770,761,942,051,911,415,528,222,760,621,409,287,
672,288,511,627,813,165,625,079,388,855,572,409,992,208,293,185,553,336,823,
773,063,885,302,130,851,429,581,638,029,596,132,772,267,110,713,355,787,195,
098,297,178,240,841,821,079,060,105,026,622,862,430,109,760,222,098,050,629,
107,465,459,387,976,721,341,266,640,166,633,128,713,822,243,242,171,515,346,
448,352,997,340,073,157,696,329,150,727,762,657,848,887,930,619,226,685,207,
469,927,626,128,864,311,563,659,971,171,779,764,722,952,631,070,399,018,741,
163,699,523,731,850,423,563,580,192,963,684,122,774,994,116,279,624,396,472,
979,901,368,449,773,379,449,931,578,359,291,551,717,915,029,280,473,240,090,
077,845,720,362,481,184,854,709,147,486,402,359,563,972,724,516,840,670,666,
645,580,902,165,209,235,074,032,763,618,278,140,506,520,545,109,470,768,250,
523,233,975,253,160,173,619,055,757,145,811,724,786,239,582,928,364,776,804,
488,352,257,108,084,393,530,357,765,475,085,156,665,492,332,737,743,049,934,
146,014,640,308,971,553,677,705,908,144,086,233,543,545,868,984,207,218,559,
050,088,024,570,289,184,509,775,151,436,386,922,473,459,724,228,550,692,199,
983,162,073,170,378,766,269,784,975,760,883,064,759,794,853,638,931,520,199,
983,146,630,635,661,029,111,028,456,572,824,859,903,852,329,155,436,973,280,
494,518,218,550,892,016,024,922,476,440,307,737,739,452,021,794,189,138,273,
233,468,942,155,274,575,975,988,332,404,896,737,533,863,894,793,475,368,864,
817,127,471,306,803,228,957,734,425,125,436,610,565,424,267,027,509,720,892,
054,757,425,368,672,731,498,956,079,845,678,850,034,725,986,029,912,786,351,
360,467,425,368,024,836,627,403,919,727,278,726,969,284,316,997,913,925,463,
789,596,036,591,851,336,911,701,275,233,706,327,162,326,538,696,476,006,984,
395,017,476,452,174,146,250,871,377,086,068,287,605,216,397,701,297,906,256,
612,828,934,799,573,681,957,228,949,684,318,604,053,578,851,147,604,831,336,
826,042,093,072,331,686,590,516,897,042,783,886,651,254,926,242,943,297,892,
626,448,851,202,481,965,255,610,700,565,876,158,690,641,899,091,605,626,451,
093,006,933,823,214,003,679,772,926,243,405,538,390,818,681,339,686,056,434,
227,828,256,149,760,932,130,629,227,857,697,400,603,162,786,407,080,690,046,
650,147,968,115,264,457,293,449,315,952,946,607,407,633,876,323,138,478,391,
956,286,258,133,866,440,136,002,519,839,737,837,029,476,265,251,996,531,592,
456,953,088,768,364,541,813,697,199,451,723,990,647,057,747,764,855,825,074,
406,909,006,004,900,824,481,547,096,928,882,538,043,348,354,112,708,596,791,
992,622,293,594,362,934,449,851,434,797,729,036,081,612,156,860,843,391,556,
807,846,974,665,619,274,484,558,802,636,686,377,914,809,606,026,078,500,719,
204,721,002,290,769,061,177,000,699,634,643,801,596,777,163,286,837,681,877,
910,918,191,740,129,053,873,299,793,763,089,452,875,726,956,829,783,046,635,
888,021,978,148,437,391,199,269,750,580,228,991,423,216,579,034,459,207,840,
147,047,824,593,802,067,726,856,128,428,217,371,432,741,884,121,314,204,753,
119,258,147,562,046,665,160,217,375,935,348,825,715,624,900,317,917,585,807,
643,874,046,143,213,390,948,830,647,182,202,584,172,461,949,951,129,488,520,
581,621,402,315,482,318,083,814,572,077,228,294,248,847,744,372,643,675,608,
063,323,636,538,036,542,581,430,413,853,698,500,003,372,904,483,437,735,058,
192,112,752,231,509,739,055,622,253,654,910,122,784,356,541,211,835,227,128,
093,401,136,197,717,346,077,011,444,651,882,793,196,389,865,162,617,627,992,
263,105,659,832,259,303,833,118,673,874,133,972,961,005,578,862,824,253,892,
889,236,429,332,511,353,257,898,681,149,720,753,947,401,890,839,037,097,437,
087,275,481,273,225,294,171,354,990,976,457,648,134,455,374,433,261,045,209,
462,903,284,583,232,493,686,722,960,414,654,542,343,119,628,534,047,859,869,
586,445,437,110,341,832,143,580,060,619,675,452,773,173,234,743,038,205,583,
457,099,920,952,675,798,131,815,085,600,171,932,086,353,878,828,695,352,084,
161,298,383,311,388,746,477,504,325,913,087,831,436,745,621,333,781,154,087,
403,110,998,209,041,063,171,073,569,350,451,711,072,223,764,288,350,697,696,
600,071,045,179,002,296,491,032,739,315,328,319,253,866,972,470,482,440,848,
145,467,647,626,604,105,785,514,169,791,813,582,658,699,258,700,351,323,158,
614,726,546,909,370,347,454,361,962,807,057,500,594,551,374,625,500,670,410,
739,811,207,637,938,699,857,389,527,754,336,142,110,977,019,003,375,650,362,
404,970,797,310,443,618,497,594,866,361,362,809,792,200,154,060,735,320,905,
887,414,351,454,127,113,347,483,991,983,549,536,360,880,637,518,597,782,675,
696,767,723,438,779,263,041,877,668,638,520,666,989,687,117,583,170,488,449,
353,530,553,953,717,841,383,245,012,858,914,482,873,679,250,111,479,467,271,
222,694,211,116,392,974,483,814,299,010,221,412,045,093,569,790,383,511,582,
200,322,083,343,819,802,472,385,226,639,196,588,959,318,458,980,444,846,287,
081,388,288,134,208,586,151,110,238,463,879,996,971,374,615,573,574,509,426,
252,556,747,904,959,269,791,278,018,955,606,287,988,453,547,038,816,492,904,
711,452,632,783,216,416,657,676,022,962,137,809,686,377,319,198,179,020,656,
568,864,214,639,499,627,678,676,288,740,915,728,719,495,038,684,855,836,285,
776,943,573,609,790,875,523,120,459,849,076,526,499,720,996,658,788,256,940,
865,913,765,203,857,495,097,794,230,677,451,904,590,608,371,988,411,121,631,
192,797,779,392,873,833,077,882,173,345,607,223,563,961,578,608,327,656,131,
871,414,734,643,830,834,109,380,643,981,154,688,140,207,117,539,872,301,933,
028,505,546,010,671,638,535,639,161,090,985,021,631,055,459,610,216,599,507,
859,053,169,222,372,047,728,642,170,770,387,728,967,775,345,847,730,430,793,
132,196,737,503,093,064,480,414,587,927,387,231,116,283,888,825,209,543,223,
113,638,743,073,778,061,799,001,187,952,279,479,221,476,446,038,420,866,741,
529,368,666,623,623,597,463,533,040,080,796,208,533,295,221,453,756,338,238,
607,314,614,079,842,028,284,193,551,343,626,521,274,269,912,614,825,325,352,
453,919,192,790,489,651,491,943,417,278,498,178,919,811,626,277,322,042,813,
029,840,641,481,247,196,351,717,359,207,375,041,394,009,454,187,856,562,806,
317,060,325,361,128,168,589,442,733,437,216,006,057,191,008,186,045,340,044,
550,416,275,591,262,484,878,410,484,083,327,250,133,416,157,276,115,540,148,
731,407,349,263,531,451,343,876,910,003,976,907,293,003,352,406,630,891,283,
114,926,282,470,156,819,353,832,162,284,294,240,226,770,328,012,098,859,194,
504,472,875,736,170,535,998,525,513,102,546,277,590,682,677,542,302,034,863,
770,380,418,747,854,955,100,806,842,842,388,575,383,305,093,295,695,111,881,
822,948,826,846,638,837,417,450,401,806,122,731,830,373,270,682,516,137,074,
660,147,179,915,386,465,815,206,821,340,034,134,736,982,818,071,267,869,256,
666,462,365,738,463,264,947,387,635,236,197,195,393,532,280,981,207,937,757,
188,300,998,054,663,368,706,898,231,949,919,006,618,308,696,145,889,824,415,
199,096,747,718,059,645,043,174,868,903,128,163,370,224,350,548,254,020,424,
425,478,193,486,968,781,036,096,354,368,786,534,989,474,847,093,309,068,782,
693,669,766,051,036,992,258,368,393,857,750,872,485,600,477,210,736,756,106,
489,075,429,098,895,521,046,514,735,838,165,961,690,983,731,685,050,992,205,
032,131,207,879,750,653,068,927,298,340,258,647,471,454,801,321,916,150,553,
252,856,773,965,056,949,216,873,265,718,532,044,952,371,225,097,538,018,597,
885,293,456,169,251,467,280,876,097,731,533,436,676,278,910,538,826,185,180,
254,547,167,821,465,769,511,622,328,512,932,467,104,873,570,899,574,584,608,
705,386,315,527,159,221,580,461,988,775,127,426,667,212,823,024,931,450,800,
459,175,302,460,633,789,960,204,439,875,181,177,890,720,512,890,601,709,116,
867,918,014,869,577,718,240,472,226,595,805,177,790,161,585,363,006,418,599,
126,941,421,095,511,875,967,458,877,159,826,259,218,810,953,439,511,249,402,
162,043,838,753,886,240,218,088,536,548,014,968,618,557,419,738,194,742,865,
251,257,269,745,178,076,797,296,011,424,767,607,739,645,130,880,957,786,788,
416,203,278,441,004,415,179,831,263,921,048,001,328,603,054,278,402,673,009,
410,825,609,836,149,957,700,304,093,977,850,995,880,063,466,896,874,684,185,
792,319,887,788,014,134,715,231,463,545,413,197,509,315,580,324,168,204,787,
472,025,191,662,629,188,622,789,557,987,373,003,201,390,942,224,174,039,735,
989,558,755,996,879,609,690,152,952,312,177,920,665,494,018,177,183,975,589,
786,674,909,658,127,798,944,699,084,970,576,166,373,602,852,173,723,931,608,
344,599,828,798,027,116,278,299,838,850,503,911,069,546,279,138,605,499,832,
375,968,970,559,521,098,858,768,400,350,659,130,748,347,206,900,950,873,417,
681,248,921,480,101,261,408,133,443,183,028,706,961,519,699,882,214,231,056,
628,821,498,480,661,113,505,097,008,981,641,977,743,145,145,953,306,779,169,
310,532,666,595,369,422,443,906,943,263,625,296,933,257,041,503,856,664,519,
432,824,339,383,750,853,759,713,417,679,480,139,567,240,664,837,939,827,721,
512,252,164,386,415,715,589,177,074,023,213,187,161,748,545,389,399,331,868,
687,664,759,785,958,181,778,543,644,744,549,034,486,688,739,070,022,773,994,
208,283,595,578,437,317,314,642,555,984,951,945,865,333,818,560,745,690,435,
750,149,758,809,232,733,455,813,742,648,566,557,678,844,585,787,352,828,679,
245,484,675,599,586,152,666,927,853,052,305,398,991,584,441,743,040,593,773,
922,186,018,415,049,212,074,076,184,011,436,373,346,138,008,367,020,545,057,
235,234,746,169,661,231,496,995,181,086,651,818,116,011,974,185,609,420,208,
638,174,002,105,393,406,272,512,147,211,674,999,292,111,175,708,906,814,850,
328,048,650,907,345,006,216,553,323,161,980,574,108,244,240,274,131,764,306,
347,526,462,083,949,632,700,498,330,840,166,711,520,419,392,524,537,689,332,
382,688,787,646,632,457,429,272,959,592,164,745,184,159,492,969,672,875,186,
821,068,497,714,570,447,928,224,537,201,740,023,842,774,284,338,129,528,506,
927,882,412,998,930,949,031,875,773,548,438,350,957,159,952,528,788,924,575,
434,104,665,428,595,155,360,952,458,636,165,343,670,083,242,064,195,718,867,
692,475,996,908,672,743,498,643,982,991,028,780,469,625,170,131,931,019,229,
562,390,701,379,651,287,762,184,818,420,966,292,252,853,442,972,733,340,856,
182,662,898,037,917,591,891,474,892,212,713,303,771,290,265,457,315,524,495,
065,445,681,031,153,381,002,512,968,608,325,626,672,621,628,598,577,713,163,
576,441,434,565,335,386,207,314,288,701,190,466,830,360,639,638,183,448,245,
013,130,717,529,519,523,640,510,936,530,311,715,552,145,398,930,190,467,129,
996,525,688,092,522,340,091,433,215,074,088,879,906,484,903,132,468,866,976,
222,239,670,942,995,770,732,988,612,926,243,245,337,562,517,777,809,111,213,
135,019,648,882,608,141,412,948,671,347,642,647,676,519,051,415,305,931,044,
036,745,694,204,634,923,289,333,982,640,124,714,499,347,061,280,211,992,470,
267,255,826,456,967,698,821,107,341,852,775,707,987,512,235,934,935,613,409,
363,752,773,155,427,986,158,859,080,041,641,926,858,359,237,925,556,406,993,
446,348,791,259,478,776,416,917,016,412,933,153,404,966,749,813,601,471,405,
487,802,707,338,990,822,128,640,729,938,988,144,341,136,119,633,140,440,439,
476,009,662,165,085,369,860,902,904,400,441,974,773,001,538,906,079,319,476,
065,711,276,370,512,100,456,712,498,175,356,385,259,831,357,047,675,827,343,
334,787,741,365,315,808,023,838,334,533,062,694,218,573,295,053,128,060,936,
600,595,711,750,063,164,426,391,256,886,534,526,020,176,435,264,164,905,915,
759,606,854,750,037,448,744,766,803,584,330,647,483,891,563,712,157,256,352,
214,626,857,673,323,974,110,604,840,407,728,057,140,808,803,054,783,086,246,
940,257,995,382,557,261,407,504,055,250,372,894,560,452,016,197,752,025,100,
479,205,109,529,903,181,688,282,646,510,981,667,937,424,823,424,677,175,608,
604,099,378,570,985,640,726,557,605,295,452,796,522,164,627,025,887,598,311,
500,754,336,853,574,847,857,134,503,697,641,924,106,575,698,933,270,598,162,
927,156,997,717,876,404,238,796,007,386,856,045,424,061,703,303,823,700,728,
505,205,836,888,185,087,104,853,611,872,612,072,084,480,428,257,859,435,320,
969,899,679,524,446,762,899,950,538,067,263,618,921,284,866,762,253,131,227,
813,034,030,074,691,396,324,715,395,994,507,132,649,873,906,791,819,725,282,
626,799,095,294,269,677,437,988,628,597,624,655,902,283,229,908,226,322,867,
736,509,654,943,654,304,099,308,348,103,409,595,784,676,678,731,077,736,775,
875,466,353,419,648,631,430,910,296,961,457,565,294,893,039,494,908,023,373,
774,685,932,931,094,607,804,079,785,573,706,188,826,045,109,875,230,845,416,
689,841,977,617,256,791,952,161,893,034,357,910,296,345,213,204,267,472,629,
432,555,995,086,749,759,677,747,139,135,613,886,837,486,499,229,976,744,990,
820,662,403,224,963,032,836,770,974,100,666,496,551,570,630,756,182,821,966,
246,216,399,849,582,007,956,363,663,992,071,550,510,116,461,244,189,748,419,
715,535,214,673,748,955,892,632,855,514,721,982,362,644,798,635,391,842,737,
810,621,111,225,424,404,260,910,587,969,813,657,006,546,237,447,804,387,058,
244,686,884,886,764,366,564,031,556,508,754,992,945,753,519,212,257,058,081,
666,486,687,306,361,999,554,383,747,223,590,089,654,826,804,533,588,117,309,
506,154,752,053,422,089,912,736,851,795,926,823,702,214,860,882,826,484,020,
068,181,650,043,173,065,792,370,925,843,835,987,782,337,816,551,551,337,321,
688,628,935,745,869,527,540,799,642,936,488,258,708,644,075,055,849,283,664,
105,795,637,081,157,984,902,706,372,060,262,743,172,623,411,945,174,256,987,
306,194,447,430,646,078,209,663,975,156,571,340,395,562,799,708,025,312,695,
208,310,510,918,195,197,668,765,175,400,213,803,980,508,779,332,538,468,086,
308,093,865,524,230,169,773,675,560,379,836,023,148,688,589,757,120,731,357,
997,694,201,569,848,510,770,695,429,931,206,290,943,773,782,637,779,941,184,
642,324,400,402,271,279,618,399,115,503,095,038,787,911,728,132,109,732,449,
088,292,906,248,678,453,040,344,165,745,710,195,731,135,736,206,691,242,919,
833,855,346,843,727,531,827,355,414,292,450,984,070,993,289,085,096,591,942,
504,493,872,772,069,432,275,530,293,032,226,563,243,943,396,792,875,074,660,
843,345,087,908,259,679,046,639,399,817,546,304,752,285,690,500,384,656,646,
544,619,464,120,680,508,842,890,707,361,438,471,866,514,932,123,456,688,944,
329,655,998,428,032,230,926,062,016,188,238,284,076,241,946,629,827,294,131,
022,398,859,901,333,129,538,094,404,922,340,948,956,863,649,826,977,271,928,
802,908,460,914,166,043,080,448,386,409,668,091,524,934,885,692,049,947,581,
809,674,030,293,065,254,986,296,133,429,978,290,579,744,388,931,857,574,860,
080,256,566,120,387,482,334,339,118,031,572,724,202,361,319,416,529,277,964,
356,183,667,162,305,185,390,639,517,105,065,998,023,325,620,196,005,156,400,
805,441,397,183,077,971,129,601,282,802,361,366,797,774,087,035,976,109,676,
473,391,221,309,503,338,038,998,712,444,720,381,393,656,587,240,578,818,244,
405,805,573,237,206,827,025,734,371,598,603,778,829,296,472,087,540,310,903,
723,010,174,429,629,943,216,846,487,650,737,246,561,563,880,478,868,154,943,
915,689,134,582,265,128,824,940,836,063,315,786,779,922,334,004,510,887,699,
959,958,231,501,224,512,354,224,220,833,526,491,717,481,679,664,941,490,421,
449,668,940,541,431,689,433,055,963,471,129,573,702,545,918,026,534,367,052,
512,689,717,828,983,094,835,003,652,440,720,183,774,222,908,736,379,257,189,
273,981,310,027,463,970,226,817,520,704,791,435,299,176,311,532,518,677,514,
545,080,462,551,006,568,632,684,705,665,580,707,407,512,571,499,108,613,272,
163,351,846,266,440,283,299,029,637,412,312,868,984,853,870,707,154,673,078,
438,954,745,692,921,703,779,542,581,327,751,319,377,442,292,731,955,163,203,
291,578,177,058,409,477,117,923,893,336,943,010,775,704,341,145,996,991,549,
773,470,141,533,154,639,390,212,003,060,500,621,731,918,647,570,835,001,195,
570,957,240,435,091,697,378,934,410,678,410,441,397,242,638,496,841,736,962,
869,354,018,705,488,056,007,429,250,150,004,092,068,224,975,170,813,154,119,
586,284,815,850,571,091,473,225,050,657,242,447,599,261,904,301,530,087,589,
671,517,223,068,023,414,045,218,863,457,513,779,618,621,927,724,858,831,573,
063,057,573,038,687,817,977,859,277,045,759,733,907,478,186,314,294,433,669,
908,613,037,401,757,706,604,170,509,992,302,636,803,641,164,713,749,478,526,
551,036,669,210,919,315,437,696,492,391,883,794,545,081,012,369,079,598,224,
458,822,171,277,117,358,384,074,723,767,894,712,402,316,070,818,531,302,987,
953,241,919,719,688,868,735,423,117,795,481,553,805,629,332,812,151,239,606,
811,550,237,838,187,768,007,101,397,730,382,556,326,541,023,302,918,061,627,
800,458,776,920,533,062,544,098,975,771,240,816,678,967,155,743,560,501,949,
525,450,814,055,498,916,152,846,274,347,426,552,602,814,410,354,468,158,373,
056,371,232,024,219,339,255,442,564,360,810,236,279,610,122,489,881,339,637,
550,836,152,927,927,962,324,619,404,024,748,286,248,793,067,264,737,410,181,
631,040,690,039,987,689,118,598,417,485,956,573,361,918,666,751,049,833,893,
545,815,557,931,607,459,233,384,861,738,402,581,459,946,607,595,721,378,164,
567,797,490,007,503,178,912,001,367,344,945,341,647,987,327,013,638,238,006,
669,569,055,363,672,818,833,814,238,622,190,171,009,801,831,340,943,815,304,
933,178,080,729,190,997,439,469,440,908,112,326,595,453,333,326,334,684,833,
884,896,005,474,043,030,593,314,656,626,875,765,554,016,805,688,611,427,575,
992,975,564,423,584,663,541,181,297,624,432,949,865,129,400,340,379,897,270,
315,357,033,890,038,608,767,265,162,174,057,208,839,362,694,032,546,354,980,
840,287,927,754,129,998,354,850,482,276,756,518,965,832,151,319,795,713,745,
633,485,685,454,497,331,691,531,678,548,341,513,456,535,198,218,708,082,289,
661,640,812,177,456,435,010,251,249,875,269,109,052,527,745,568,718,753,259,
423,771,196,973,492,414,461,277,763,692,379,789,760,041,296,096,493,917,477,
616,845,208,404,907,049,714,568,612,679,608,102,583,721,559,073,284,989,216,
124,003,927,078,446,004,541,040,822,374,851,588,948,374,102,885,541,288,213,
561,078,353,073,105,940,854,566,773,202,010,112,164,563,694,171,453,879,118,
224,957,073,236,459,586,779,840,688,919,793,636,565,601,501,772,024,238,359,
596,300,733,238,102,397,926,868,324,526,821,495,105,058,110,576,234,063,245,
038,115,131,438,813,043,053,300,166,342,045,403,004,179,232,022,318,173,594,
224,486,447,529,151,151,027,252,955,368,116,005,485,681,712,814,855,450,158,
780,473,532,842,528,754,609,704,118,400,096,896,976,973,344,863,824,630,389,
609,629,870,485,804,088,502,569,038,680,969,420,300,620,677,096,460,907,601,
211,771,385,726,365,582,041,923,376,174,872,191,297,969,051,103,448,787,600,
865,867,490,549,010,827,701,775,747,951,988,711,657,992,893,288,135,862,156,
767,487,370,392,293,808,679,460,275,230,931,349,592,051,837,425,978,829,570,
433,411,267,018,259,297,693,285,537,326,466,011,787,364,575,124,668,846,949,
391,866,772,292,599,013,631,284,426,130,601,437,397,998,783,104,852,626,169,
443,677,703,785,756,992,623,504,878,887,380,244,398,664,591,271,829,800,143,
246,867,265,366,902,161,749,530,979,986,324,826,042,580,593,575,015,627,051,
580,341,575,666,064,251,092,153,390,211,244,950,890,226,932,030,514,609,040,
101,295,472,962,415,472,242,160,195,876,742,709,405,522,264,248,605,746,892,
439,182,175,443,157,752,585,873,481,730,334,559,389,985,707,029,848,250,755,
543,469,441,165,189,389,364,182,211,777,439,668,937,677,146,249,680,072,875,
729,546,084,498,034,899,359,163,483,374,784,012,118,526,189,076,203,752,298,
165,642,568,139,273,816,461,512,760,796,046,330,640,227,431,799,846,147,520,
240,368,521,289,855,810,621,861,832,408,645,101,526,795,556,960,399,662,451,
122,510,545,763,508,877,108,408,449,619,488,460,973,740,235,411,629,423,682,
034,086,419,499,627,519,159,270,267,200,657,831,137,872,196,027,462,720,699,
605,507,742,959,909,740,706,443,564,201,290,324,319,820,617,345,584,652,273,
232,021,729,791,879,355,317,635,647,471,046,641,680,774,590,223,103,602,987,
151,595,874,537,207,530,314,154,460,870,407,148,276,238,616,634,861,897,443,
329,769,985,557,435,520,455,274,211,797,655,812,640,323,911,563,147,216,213,
216,059,028,455,653,619,249,315,983,769,131,163,876,685,757,350,900,356,161,
520,134,055,739,343,166,960,429,182,064,407,749,924,156,026,670,298,692,620,
704,463,661,947,882,880,236,506,328,656,603,156,600,949,592,226,926,809,485,
796,890,117,357,128,729,769,016,262,452,785,859,909,051,967,842,195,991,316,
873,159,790,737,782,750,887,767,047,650,241,757,570,070,598,820,592,628,699,
329,985,133,188,043,943,147,694,966,939,737,538,637,455,800,725,629,142,826,
644,074,738,385,134,486,514,685,706,348,027,400,233,240,170,525,594,214,499,
414,571,727,969,202,228,851,823,038,299,930,336,218,686,769,935,269,797,428,
831,646,380,630,334,834,898,033,568,094,196,406,794,742,550,208,524,906,183,
718,792,746,142,959,277,728,274,193,532,532,358,964,627,858,935,053,654,958,
611,383,712,297,101,985,667,918,958,749,987,384,490,450,419,589,650,324,616,
765,525,014,564,260,618,760,869,248,553,701,895,215,311,022,263,211,407,775,
465,061,014,890,297,567,897,539,028,688,092,718,738,281,021,876,131,912,151,
699,843,467,371,560,646,396,862,175,537,299,609,882,264,110,480,916,319,197,
690,481,407,490,394,746,080,007,723,128,662,337,780,091,457,428,374,456,832,
859,771,429,176,925,488,688,059,938,759,181,392,192,747,674,716,888,809,457,
938,023,817,143,806,699,676,898,550,844,269,264,069,115,080,864,075,985,118,
221,326,342,640,930,352,970,241,649,362,946,162,096,977,140,912,297,012,380,
682,409,617,256,695,478,919,567,252,219,735,241,736,459,421,089,046,191,028,
136,752,589,692,296,583,573,950,138,598,733,048,798,985,911,482,250,336,911,
604,455,131,764,141,704,251,910,294,752,709,284,668,135,681,244,790,267,723,
094,811,486,943,572,142,839,922,767,613,854,331,529,452,444,552,979,873,168,
656,470,985,724,177,217,770,571,998,288,815,036,175,032,026,867,158,148,276,
524,611,140,760,873,763,028,642,370,811,689,310,245,715,194,708,861,770,212,
809,920,909,016,927,162,018,972,949,775,302,874,785,776,104,450,716,518,437,
367,594,971,590,207,423,628,722,960,090,899,088,130,496,935,379,383,553,930,
456,449,201,758,310,904,939,799,050,834,130,104,427,372,733,444,094,674,708,
583,996,869,867,678,789,775,503,741,234,368,741,135,921,489,249,605,810,080,
271,654,309,397,694,623,059,957,397,734,629,931,473,089,506,598,256,521,828,
817,131,664,454,335,515,009,936,723,272,593,236,282,447,085,931,072,419,152,
225,665,439,698,130,764,332,950,487,376,022,070,375,564,919,221,837,530,212,
485,904,838,726,086,419,580,425,787,219,736,837,933,695,063,108,547,669,846,
073,671,909,933,004,819,110,128,560,903,060,040,993,882,567,432,185,067,471,
681,363,343,307,858,642,868,049,367,917,950,044,938,929,470,182,139,734,561,
170,056,253,286,988,547,869,802,605,728,000,436,076,866,869,854,154,881,100,
470,763,575,797,615,172,908,417,596,239,405,200,457,465,140,746,699,466,843,
953,250,988,352,258,426,603,827,248,343,057,067,198,862,598,544,326,077,680,
923,921,503,853,571,590,511,496,530,675,192,749,516,210,821,063,303,101,739,
838,234,123,010,248,467,456,805,272,712,777,656,356,049,389,609,278,718,797,
888,037,288,273,658,035,849,361,907,919,097,660,813,882,224,885,658,933,334,
493,567,140,244,174,246,524,343,678,547,873,121,290,430,823,439,161,937,220,
205,092,997,405,397,194,258,512,510,081,793,140,705,329,442,949,038,340,158,
340,767,056,595,161,507,226,098,368,038,487,232,701,160,370,035,558,664,994,
161,680,273,512,059,659,321,504,022,882,086,700,186,954,340,777,859,111,236,
174,821,723,187,828,181,795,478,556,156,778,814,427,906,519,633,717,369,574,
650,829,483,570,033,104,125,595,876,017,582,927,627,826,577,566,032,704,224,
664,393,033,746,493,700,928,420,570,520,451,190,816,850,431,570,737,607,143,
901,535,755,124,937,483,261,611,566,848,461,413,173,547,721,541,126,600,961,
298,386,241,884,000,024,313,000,158,429,148,173,809,288,040,081,610,949,643,
749,646,345,284,245,782,668,204,601,835,250,977,713,222,203,346,449,206,835,
825,154,846,075,623,973,111,901,399,508,711,840,936,536,450,280,149,340,036,
260,873,146,898,670,388,492,984,137,637,350,174,550,786,121,925,832,448,594,
412,554,919,934,650,615,249,574,271,882,739,946,596,359,838,116,716,922,553,
587,541,778,496,147,143,377,253,665,938,295,524,612,622,717,947,884,424,463,
556,655,844,474,940,346,098,417,403,542,860,446,651,568,801,032,184,096,293,
526,987,120,316,383,602,932,899,212,256,539,463,670,654,390,093,959,609,811,
360,149,673,925,017,190,657,251,374,627,302,923,359,458,175,959,577,842,546,
956,378,839,402,846,264,024,718,135,779,921,105,942,880,925,558,856,424,358,
256,311,408,114,845,211,536,204,343,487,407,269,464,697,823,464,430,729,551,
015,714,049,131,364,174,603,069,561,758,457,095,786,178,807,878,995,334,804,
798,759,150,616,500,894,504,474,297,912,306,566,562,319,822,381,720,611,324,
967,282,695,038,291,214,999,604,617,833,624,493,768,385,918,717,617,152,574,
623,446,521,947,738,469,681,853,090,220,766,062,574,815,623,357,125,811,443,
307,889,109,327,761,907,844,058,378,275,111,977,335,848,484,207,059,737,743,
467,860,704,643,430,654,764,059,535,119,717,937,271,758,982,666,945,353,395,
743,482,025,815,953,604,262,558,386,944,796,686,918,634,784,316,209,504,305,
612,312,021,193,417,212,342,462,655,323,841,074,868,938,073,010,386,115,718,
857,801,030,638,314,948,393,061,946,036,652,226,777,378,779,093,594,621,470,
798,565,092,251,149,694,483,241,323,002,587,887,181,215,640,194,144,489,096,
968,876,071,034,768,848,278,589,274,935,197,933,477,561,323,371,492,164,218,
195,440,116,514,201,173,414,446,471,324,462,232,898,524,135,734,010,511,703,
140,474,845,819,027,049,516,796,261,059,721,475,587,660,763,641,101,173,840,
334,170,253,789,410,662,375,578,068,776,148,194,027,818,238,742,815,222,666,
256,321,042,353,880,386,472,920,374,904,808,059,085,028,221,513,161,043,738,
889,040,380,127,707,625,005,261,058,974,888,745,979,790,764,733,367,982,685,
558,731,331,413,980,922,427,482,461,150,107,876,250,764,954,073,664,746,859,
232,588,205,810,523,855,119,101,268,592,835,125,933,372,979,796,138,210,170,
174,318,735,992,897,454,772,504,320,103,167,523,181,185,923,336,835,191,330,
090,482,559,277,162,188,247,690,926,021,611,441,438,144,318,033,454,334,759,
692,057,822,627,417,992,730,525,414,967,708,507,316,180,819,758,772,279,068,
079,095,543,426,925,849,235,427,953,699,788,351,669,450,079,951,243,793,111,
329,757,777,768,665,666,885,356,815,684,478,425,638,237,348,772,681,587,131,
272,491,653,476,781,225,128,464,658,007,971,632,204,384,799,397,673,920,713,
202,882,355,104,164,373,982,600,761,604,635,842,900,017,468,042,201,506,516,
811,557,177,246,602,441,413,251,228,471,915,679,968,131,301,099,097,431,248,
998,188,797,852,521,527,132,750,689,334,735,702,445,136,018,404,472,186,091,
944,222,096,037,234,520,023,089,639,785,102,093,933,183,547,028,311,087,474,
418,611,943,466,389,893,150,590,550,091,208,423,518,200,394,137,418,855,654,
922,047,654,498,642,571,289,691,463,939,291,164,915,754,806,734,708,331,553,
058,131,940,971,343,231,284,358,354,936,095,501,766,840,524,692,279,310,495,
699,868,944,646,218,121,114,403,399,815,249,233,372,200,727,539,508,771,621,
264,055,508,851,647,589,163,800,397,631,645,575,834,180,426,384,086,906,236,
277,039,519,570,604,007,944,700,691,603,148,188,957,104,996,219,043,511,167,
180,638,110,793,255,416,056,804,909,931,297,954,867,348,579,296,541,982,667,
381,864,745,755,331,715,747,232,788,488,070,368,502,385,109,134,204,451,756,
445,282,646,675,226,996,892,195,401,022,277,230,267,655,800,923,850,885,387,
228,164,746,177,927,280,778,223,003,833,425,560,920,011,508,892,390,349,048,
138,974,195,054,980,725,408,394,686,258,778,149,211,406,366,236,427,266,884,
371,798,964,852,271,035,663,454,525,109,588,873,863,686,443,679,790,148,677,
868,520,099,618,165,299,010,679,429,000,496,152,240,188,582,274,835,372,682,
360,981,654,830,753,907,873,033,553,853,467,643,965,708,651,649,776,507,585,
346,275,327,687,685,502,145,509,925,506,904,762,402,070,040,429,276,621,045,
051,111,800,369,131,332,678,136,736,124,026,090,551,294,827,807,706,242,378,
811,972,711,568,390,458,547,799,606,474,513,690,512,360,005,463,670,754,452,
005,972,464,060,655,990,424,096,783,477,306,013,258,880,610,686,094,202,666,
151,975,104,729,075,057,970,458,466,789,620,338,130,902,418,992,140,606,617,
152,637,975,766,454,124,431,627,949,402,671,684,663,924,525,121,908,175,249,
232,822,430,110,123,204,700,816,000,030,366,283,453,661,490,351,150,145,015,
393,642,040,753,232,229,134,171,722,790,528,588,162,792,862,066,355,739,649,
068,316,963,374,453,258,078,469,121,519,878,153,617,949,633,637,551,655,856,
553,205,210,665,074,555,669,690,957,497,121,868,691,608,813,792,343,109,044,
161,376,456,881,710,675,746,291,380,880,180,444,147,356,354,418,369,437,605,
383,999,211,076,770,037,643,820,566,383,993,210,614,373,402,582,644,257,137,
801,906,912,445,243,497,171,117,600,503,853,224,652,114,153,094,349,103,266,
535,263,611,308,592,119,673,409,888,986,146,843,917,071,652,463,704,795,517,
611,662,962,172,941,917,146,813,144,038,868,846,479,778,918,112,196,037,070,
819,780,568,999,886,566,415,243,414,256,258,801,823,777,946,692,754,088,716,
809,086,939,352,365,160,905,533,604,954,758,240,148,454,206,961,731,606,488,
281,908,387,930,036,407,899,183,720,145,450,509,765,501,230,596,235,911,752,
620,732,884,301,740,321,468,341,235,288,068,445,797,709,957,731,305,618,630,
436,563,365,346,555,097,809,943,157,809,953,244,384,181,181,364,258,634,193,
428,319,572,246,713,279,662,097,500,458,794,786,699,465,528,638,049,074,039,
416,363,489,702,878,031,115,560,981,886,472,208,249,463,872,082,422,954,685,
655,745,640,887,527,734,132,134,567,646,928,977,292,714,840,226,583,763,885,
519,375,581,685,649,299,958,412,575,170,509,700,435,380,467,328,277,057,677,
920,226,911,185,058,164,066,412,429,957,277,138,995,077,924,638,449,479,523,
281,940,991,212,326,045,960,143,093,914,605,671,753,779,665,835,887,950,337,
295,493,615,835,176,319,320,244,944,277,479,142,223,211,368,347,451,576,218,
756,027,530,237,974,786,619,896,435,337,281,603,803,217,494,297,533,968,260,
555,618,557,395,410,952,986,012,151,761,224,329,602,573,276,211,134,399,773,
728,733,601,107,023,294,443,532,479,068,188,481,122,612,282,900,259,953,574,
893,444,683,314,554,936,463,542,578,128,001,916,638,305,037,058,862,782,065,
968,572,748,243,707,978,393,997,712,327,702,849,801,607,855,087,684,876,966,
683,362,211,732,460,459,753,659,125,158,701,011,992,120,689,794,726,403,477,
756,296,135,519,079,801,548,412,091,122,017,659,548,034,957,843,983,558,459,
189,029,740,638,830,476,662,879,851,763,649,611,673,482,671,913,746,909,665,
967,022,026,773,672,379,238,251,591,643,054,586,313,046,153,122,311,153,903,
763,754,476,445,515,843,145,017,320,868,423,463,567,591,891,403,535,961,846,
223,184,203,299,361,583,129,491,165,064,614,604,007,484,086,912,390,014,085,
057,157,351,031,169,541,237,481,234,505,027,448,545,070,899,952,956,479,069,
120,676,466,722,754,116,866,131,922,346,191,711,589,460,716,812,476,916,749,
933,219,412,452,493,900,624,597,198,548,077,783,580,239,919,443,234,471,221,
685,723,823,820,188,671,227,561,005,519,988,535,557,783,426,891,292,759,379,
926,114,809,539,492,314,304,694,225,773,307,040,693,374,948,260,360,658,674,
997,207,874,052,044,814,064,494,685,940,196,295,893,970,011,365,055,733,172,
755,122,725,537,799,183,647,537,210,026,721,465,212,949,581,449,864,952,914,
027,271,038,414,526,472,542,359,837,879,853,179,364,545,216,893,723,040,798,
510,402,518,078,098,269,404,424,698,998,221,170,381,950,888,682,997,059,671,
191,239,231,089,238,627,143,282,159,894,853,352,898,788,395,769,765,696,058,
141,629,296,573,878,634,217,590,177,605,343,144,969,827,617,711,523,009,531,
774,845,675,541,241,428,519,563,096,219,471,100,887,924,593,859,015,254,279,
783,082,651,049,365,806,945,206,355,194,810,099,514,010,470,187,961,874,265,
104,837,976,853,100,274,388,868,362,619,560,863,010,751,164,655,197,112,582,
803,421,981,924,325,034,927,505,061,749,756,668,845,230,109,312,306,844,604,
948,665,818,604,256,743,268,152,864,746,277,148,012,271,683,324,323,742,733,
939,621,079,115,294,392,922,193,896,955,031,696,191,690,620,659,632,165,257,
072,478,339,528,550,612,541,855,391,074,825,286,556,623,463,591,377,092,865,
303,344,113,120,054,137,056,799,624,316,515,699,298,258,551,773,396,200,423,
996,704,559,865,826,950,699,362,035,161,760,882,804,156,928,065,106,583,491,
848,412,288,220,565,840,316,607,509,813,881,029,440,406,349,843,604,218,712,
660,399,342,948,859,660,278,094,717,993,038,036,412,936,059,602,133,657,526,
428,944,254,559,999,066,410,010,302,197,543,501,335,493,843,983,126,176,202,
602,774,532,812,402,945,307,143,286,593,156,560,514,627,073,823,530,672,779,
102,322,468,227,134,978,288,159,711,748,624,845,446,812,909,556,322,999,132,
023,206,240,685,968,780,207,299,034,325,620,258,717,200,512,986,171,674,783,
570,646,390,516,286,609,418,253,079,080,124,497,559,528,583,707,564,672,769,
299,257,567,074,839,751,378,096,014,472,084,029,174,767,762,267,408,233,610,
412,674,890,284,498,420,998,605,478,739,907,238,364,043,374,203,811,070,321,
773,275,519,853,928,052,096,475,772,616,104,222,851,484,220,714,106,866,468,
056,256,877,774,336,329,491,205,151,169,940,450,352,606,792,444,104,772,358,
595,804,274,960,098,418,041,327,812,706,694,278,904,916,212,720,408,149,220,
766,508,953,680,689,037,889,528,508,947,323,699,501,098,355,767,212,991,367,
554,910,950,934,998,105,127,183,951,368,713,287,379,515,017,392,888,774,018,
123,016,586,138,637,425,367,297,034,454,377,870,278,630,361,437,703,612,695,
631,739,606,070,794,274,215,936,202,909,708,653,847,890,650,489,663,487,666,
703,376,056,552,281,938,543,913,062,120,913,135,125,017,599,492,137,557,033,
874,371,215,450,104,385,417,224,802,296,414,572,349,921,214,416,249,627,772,
583,602,293,868,889,372,590,068,187,726,531,525,231,836,732,473,105,848,853,
067,739,889,677,730,340,354,604,526,353,738,889,043,876,760,732,320,956,229,
391,227,287,296,781,335,817,017,863,349,284,708,818,252,915,103,835,859,829,
067,109,495,976,112,594,118,467,435,808,448,504,838,237,941,182,483,131,247,
047,172,761,428,367,297,688,765,072,938,460,221,660,061,181,260,721,626,870,
552,739,171,006,952,478,547,188,578,744,125,418,490,116,440,605,466,997,378,
308,600,558,585,618,905,051,482,610,866,284,404,360,382,140,873,634,746,540,
317,951,156,993,187,656,174,709,402,951,330,073,878,274,788,689,363,256,730,
792,212,376,563,155,877,910,469,685,591,727,462,452,535,254,738,210,372,509,
244,453,844,846,813,379,811,544,299,766,168,840,881,425,113,996,310,409,922,
940,648,343,440,617,711,271,441,210,181,840,060,108,266,462,759,617,785,728,
118,922,348,199,021,236,624,772,458,186,555,833,920,129,844,083,393,443,889,
605,414,346,018,958,040,505,081,509,505,183,400,211,356,945,834,842,702,575,
004,894,446,718,929,662,831,170,815,473,188,115,963,010,303,573,307,112,536,
050,988,816,247,309,263,781,688,067,608,117,602,365,951,076,856,932,153,057,
030,917,625,430,552,218,413,011,648,537,496,830,813,460,582,585,001,591,304,
288,731,497,149,610,222,460,314,163,184,655,362,589,998,298,780,957,476,128,
316,826,537,073,343,917,433,397,858,647,568,360,234,671,046,084,813,620,901,
503,256,382,937,089,031,249,447,378,125,959,458,756,480,852,884,829,207,342,
841,549,704,190,098,791,333,408,437,683,200,936,045,449,887,830,669,762,287,
241,899,736,284,761,727,122,952,174,350,226,944,730,489,964,829,876,147,858,
253,916,211,582,652,069,049,237,141,203,942,786,149,970,720,688,509,239,527,
149,015,288,343,688,726,228,933,129,251,634,203,911,939,284,297,685,671,471,
824,471,788,247,306,288,325,253,009,350,439,165,502,663,831,628,702,880,948,
096,529,929,985,850,087,667,199,322,327,065,841,324,022,785,635,632,391,496,
253,509,698,912,267,808,893,374,066,278,188,470,595,866,403,915,922,613,159,
460,472,136,563,178,077,083,141,794,624,512,860,235,770,444,108,457,447,161,
296,713,324,566,164,364,220,669,758,831,955,913,416,263,838,368,544,044,932,
603,205,146,666,920,583,997,410,031,597,383,532,390,045,698,521,291,586,843,
650,655,461,718,813,111,327,335,955,562,720,055,979,064,515,176,337,739,672,
557,002,684,755,920,487,189,287,697,076,981,460,249,122,185,273,952,033,273,
824,243,571,249,214,626,130,396,886,890,452,985,796,159,622,217,801,602,442,
915,783,909,533,633,937,889,757,036,121,890,259,353,319,676,252,346,665,398,
722,186,283,433,875,979,294,803,929,989,333,948,659,268,246,065,865,998,053,
336,975,890,138,328,924,683,329,409,237,621,239,039,839,774,518,441,033,547,
241,399,950,357,317,253,995,299,682,512,628,745,271,061,317,153,261,750,323,
103,727,846,347,811,977,839,600,187,284,927,162,882,170,894,149,933,627,289,
325,824,770,794,087,548,423,357,332,059,667,459,962,601,302,048,437,392,815,
743,042,940,979,127,825,076,311,972,964,122,037,771,700,227,027,682,431,177,
418,216,308,953,170,804,128,906,336,586,952,483,600,153,745,195,477,853,208,
668,312,687,208,096,682,618,161,509,926,065,214,267,793,382,334,998,085,281,
816,031,598,768,015,449,758,459,647,985,480,079,115,433,874,728,996,540,302,
983,940,425,350,849,149,350,406,623,185,897,157,776,795,341,655,976,586,526,
769,258,816,105,753,481,750,960,263,206,863,519,101,498,222,621,763,859,328,
600,352,133,888,798,770,768,058,306,024,560,098,857,047,692,644,148,714,178,
468,171,402,930,791,434,139,086,879,899,155,695,420,680,410,509,552,623,422,
240,001,058,320,576,854,378,030,712,226,044,318,223,770,792,278,972,000,164,
944,562,384,597,756,201,013,180,457,865,566,293,891,359,967,196,502,716,020,
933,987,367,280,394,990,559,675,120,515,788,930,395,432,807,482,550,049,587,
472,268,345,222,855,316,114,710,858,539,016,805,523,640,258,830,724,515,416,
614,218,464,374,881,424,758,269,449,586,162,171,105,390,989,406,517,665,308,
490,083,410,522,916,159,705,468,776,633,493,490,472,586,236,962,528,307,651,
705,653,896,203,726,972,439,213,755,124,332,914,320,532,844,404,515,710,442,
703,206,259,524,538,857,353,262,615,805,734,961,013,634,437,766,881,490,969,
441,586,740,276,786,573,746,478,076,880,921,260,947,270,191,802,451,602,309,
383,235,751,823,493,743,094,378,661,657,134,659,656,561,499,459,353,659,484,
393,263,072,756,320,714,682,815,127,844,380,920,941,568,490,533,622,235,955,
309,377,906,712,461,737,052,425,435,634,964,601,725,035,596,967,428,471,884,
444,962,118,877,629,194,358,919,021,928,911,601,244,370,568,515,352,524,674,
332,307,085,625,850,274,764,620,520,595,313,457,936,166,106,435,067,728,331,
208,226,880,965,251,473,911,733,771,984,233,634,478,493,359,978,776,194,661,
677,615,220,291,658,593,814,506,146,975,300,410,529,731,517,235,000,471,241,
312,822,258,401,351,840,187,893,366,300,541,429,914,125,100,215,954,877,117,
293,245,046,816,742,359,816,845,631,726,694,039,312,581,685,109,930,110,763,
845,947,706,160,319,316,177,145,968,225,118,784,032,918,052,367,937,206,407,
642,701,002,195,455,988,467,154,722,520,770,069,503,664,826,998,114,588,240,
444,153,141,756,386,297,177,901,582,132,725,868,035,826,836,958,223,373,613,
746,584,727,933,367,603,685,882,704,596,628,008,082,439,751,063,724,676,421,
040,952,257,012,601,803,654,489,199,618,360,356,202,417,394,526,792,413,718,
119,744,922,387,778,987,754,528,002,736,709,740,145,345,111,135,843,341,928,
789,825,321,734,440,053,224,488,208,795,585,980,691,430,728,941,683,361,184,
795,946,006,536,007,915,376,193,968,916,132,552,965,620,202,355,189,708,670,
068,102,869,913,275,307,870,183,201,320,156,784,042,002,308,650,214,357,904,
944,678,974,901,040,279,943,965,188,716,278,116,996,922,966,653,957,341,664,
170,222,973,271,101,247,147,629,480,756,272,268,589,604,921,383,837,899,339,
539,482,234,788,314,773,956,899,656,210,863,376,452,761,132,251,224,903,507,
800,754,503,206,717,956,877,773,626,300,770,507,513,480,716,152,621,410,137,
550,629,570,210,331,882,654,271,478,346,012,979,530,201,038,442,561,701,870,
924,974,413,024,370,374,807,508,045,512,497,834,613,524,198,627,874,315,264,
561,700,641,649,698,423,423,968,868,384,069,771,969,436,108,628,934,986,286,
601,441,218,856,470,673,880,829,026,029,615,628,692,992,687,857,409,918,936,
162,683,451,261,872,398,303,374,815,399,482,634,900,002,443,061,111,313,969,
467,462,454,173,652,233,920,277,256,871,947,172,805,128,735,340,026,643,060,
046,407,464,041,944,360,320,005,857,086,089,133,050,418,705,431,864,920,328,
993,691,690,743,437,062,870,362,685,858,756,626,124,972,608,293,413,782,363,
478,705,655,262,016,170,377,658,815,095,786,237,146,678,294,825,393,486,332,
771,969,004,129,028,179,765,537,383,946,561,616,287,223,794,206,074,648,797,
892,864,231,491,176,250,605,561,845,127,049,297,423,510,428,529,663,942,857,
084,684,671,728,030,669,272,340,224,903,318,392,034,063,071,694,744,809,974,
330,515,992,453,744,709,483,322,000,637,451,998,892,144,212,321,638,329,865,
789,304,254,057,358,347,193,962,542,301,902,253,323,799,246,444,171,426,918,
977,983,005,254,080,118,521,313,870,056,503,861,083,269,107,192,699,611,587,
335,819,054,829,515,013,263,839,791,243,341,220,222,735,870,095,484,412,746,
530,300,538,859,709,877,226,225,929,389,630,259,679,898,841,015,007,891,017,
696,044,925,856,871,218,620,426,062,487,657,660,223,313,008,189,638,875,307,
344,801,157,487,421,731,652,568,952,510,749,919,136,632,490,905,478,266,680,
632,807,618,117,866,259,973,097,043,665,120,220,425,308,121,725,657,322,319,
064,768,662,052,627,268,525,567,240,165,816,681,050,579,887,021,921,880,204,
706,374,995,377,915,089,168,992,164,214,262,046,846,097,223,528,687,712,584,
026,615,208,359,322,633,685,960,563,349,987,718,324,099,423,910,110,574,113,
737,789,149,763,444,844,388,789,600,055,751,106,284,100,312,795,226,754,671,
583,660,805,325,326,806,920,560,270,069,214,477,589,766,337,242,596,399,059,
823,331,363,072,559,827,412,340,800,274,584,149,181,091,580,200,731,483,908,
423,836,797,738,072,483,863,743,605,393,179,435,669,673,583,258,804,948,823,
486,597,762,840,321,868,558,477,776,698,497,917,030,230,989,583,052,774,079,
132,739,875,188,711,881,502,766,599,493,600,672,902,453,043,015,351,974,870,
891,770,466,997,632,536,402,221,641,367,699,885,497,601,432,042,320,359,287,
664,844,847,139,532,936,029,302,129,550,540,095,456,358,930,451,304,390,120,
839,046,593,759,043,677,529,184,426,731,006,903,187,844,854,349,062,183,184,
398,287,640,206,764,882,399,634,585,398,349,373,925,419,504,520,031,831,601,
234,842,925,725,782,269,480,128,300,029,109,947,009,227,206,115,865,540,446,
964,227,511,235,685,402,611,121,124,347,063,916,213,466,558,921,215,318,099,
101,298,839,413,692,071,411,318,657,275,850,242,911,190,469,805,238,396,672,
840,769,639,199,067,754,185,219,645,426,768,574,403,735,310,814,128,393,335,
119,617,538,385,021,491,533,706,220,182,788,714,983,415,395,229,965,039,832,
838,837,683,640,301,023,278,316,744,904,105,602,191,195,250,851,190,078,940,
162,318,528,688,452,248,025,024,268,900,464,663,771,898,951,896,436,604,042,
522,591,533,641,327,345,111,674,081,179,875,437,230,211,280,034,002,076,185,
186,457,730,665,457,414,769,355,623,965,072,126,879,368,972,908,740,238,925,
081,769,001,123,927,689,466,619,989,450,329,516,507,682,035,970,577,736,523,
040,715,104,367,372,809,260,259,604,850,930,791,363,015,442,418,461,828,080,
868,003,875,287,968,683,486,992,276,135,456,739,605,896,493,057,630,658,950,
307,654,207,379,635,096,351,052,608,211,315,559,897,874,741,190,588,541,138,
227,827,950,199,981,404,191,040,279,874,480,028,924,812,062,876,347,596,096,
760,572,627,122,119,890,311,946,901,087,482,237,736,478,844,643,417,494,267,
136,447,337,274,870,571,266,403,368,995,839,747,734,564,137,373,369,351,370,
097,062,550,946,639,759,396,573,523,706,283,590,843,655,705,660,746,407,629,
293,253,120,675,660,060,570,420,815,661,892,594,790,601,662,419,549,350,122,
151,656,419,930,816,729,696,359,611,343,286,230,894,350,064,920,899,359,088,
782,669,967,907,554,525,744,144,317,409,802,482,924,282,825,250,589,844,934,
861,441,527,576,345,411,352,444,112,802,847,890,025,628,249,568,525,121,134,
882,694,106,343,966,878,442,215,658,814,822,464,268,860,419,369,271,637,000,
420,621,746,449,362,527,214,990,348,469,410,678,285,803,692,464,492,202,347,
162,431,082,028,963,983,602,738,700,411,932,363,663,166,602,058,655,683,121,
098,386,835,737,308,311,236,417,681,461,962,982,582,645,956,684,657,776,316,
033,242,801,003,037,200,317,509,127,719,357,725,095,274,337,495,763,719,840,
609,895,948,249,641,251,923,755,931,135,110,484,143,345,108,970,191,912,975,
134,844,022,295,411,167,661,009,076,544,767,157,393,529,750,695,765,268,787,
175,613,394,736,331,620,345,537,664,596,735,080,188,002,102,025,846,301,169,
571,619,687,546,732,624,516,541,322,786,900,194,354,585,329,329,660,050,001,
571,991,627,315,911,518,874,526,595,366,005,461,231,419,235,845,828,019,976,
733,442,070,956,626,140,631,975,966,425,082,538,839,049,512,384,175,242,029,
609,683,324,612,642,509,089,004,172,883,764,718,041,745,102,102,588,559,360,
632,417,985,525,397,286,729,693,341,720,110,885,498,248,339,749,816,472,208,
271,133,300,670,767,976,706,347,782,423,550,334,049,922,510,984,837,927,616,
559,737,006,138,771,051,604,863,275,448,587,280,624,767,137,765,380,928,887,
174,477,749,883,444,479,871,916,794,150,551,573,989,479,234,483,569,999,682,
512,185,123,518,384,618,383,736,418,340,889,454,418,616,665,534,052,414,230,
293,931,382,909,978,856,516,562,635,258,334,712,626,076,316,696,866,350,787,
921,991,148,624,077,566,339,820,749,318,566,102,446,099,701,452,604,899,041,
367,537,004,989,291,364,234,622,714,558,244,632,883,231,312,160,801,959,370,
478,044,474,727,010,216,467,045,951,844,257,266,148,636,271,443,465,464,570,
047,800,803,869,649,222,963,529,391,945,780,296,750,413,437,239,182,857,808,
374,617,627,744,554,964,726,825,582,928,019,507,189,097,478,326,762,701,938,
721,725,419,342,167,315,988,669,927,603,549,490,212,786,509,053,426,554,998,
525,070,272,518,145,964,908,783,527,786,716,346,460,054,709,892,347,063,447,
068,919,118,980,969,622,915,116,088,560,918,188,951,321,788,148,550,430,258,
272,589,998,016,003,476,785,044,422,541,129,091,831,079,029,658,106,188,446,
656,982,992,800,213,353,137,204,850,297,739,340,431,108,299,725,672,280,739,
154,320,465,257,095,342,853,299,024,700,638,399,170,503,873,944,448,963,786,
004,167,006,326,844,650,571,734,710,221,586,293,012,546,800,001,178,563,062,
229,494,175,615,303,915,752,016,014,793,084,798,766,083,321,801,841,553,121,
889,669,750,560,220,899,466,111,067,229,401,301,232,789,414,276,891,928,308,
996,502,586,787,036,913,709,685,758,488,594,128,651,299,458,280,062,491,897,
940,683,495,894,732,083,701,965,597,597,765,938,736,995,386,581,578,489,231,
072,978,059,282,783,174,332,605,368,645,635,174,824,995,355,720,427,218,017,
676,405,404,194,329,087,673,746,605,870,996,213,616,515,408,257,834,978,101,
178,671,948,694,160,085,911,537,645,523,432,184,546,266,553,234,754,462,506,
957,544,046,966,501,411,929,349,469,901,026,484,662,667,941,104,512,248,183,
457,211,483,224,039,067,894,170,305,218,678,649,334,097,371,801,171,463,726,
204,766,262,485,864,543,075,962,583,045,672,138,822,003,365,118,630,457,423,
947,169,861,404,978,403,282,394,303,961,049,034,285,317,471,729,825,350,917,
374,783,675,956,079,817,632,524,998,546,605,090,415,538,456,262,537,597,186,
160,950,739,380,124,304,910,195,411,921,319,085,382,532,441,308,653,401,186,
901,868,421,058,112,400,311,662,947,079,245,481,463,522,253,449,487,058,189,
591,147,237,350,045,640,638,563,803,123,841,831,023,382,398,612,408,170,140,
836,687,673,897,197,993,301,886,467,311,332,126,931,616,275,675,591,664,704,
970,936,844,007,706,598,668,771,722,993,664,887,649,195,458,564,503,916,608,
766,896,422,427,630,169,412,526,816,457,936,137,608,538,493,818,753,218,582,
314,011,441,798,489,167,440,799,038,102,714,277,624,959,183,761,229,145,835,
739,509,794,549,141,439,103,824,882,732,906,193,884,639,675,805,300,179,181,
915,222,373,838,393,295,867,631,747,263,938,040,332,786,865,438,945,258,637,
621,574,472,088,933,791,955,620,438,025,511,044,361,150,275,330,846,003,764,
410,327,177,286,386,669,747,687,325,068,719,272,310,778,469,280,995,970,083,
657,534,716,304,275,027,619,730,305,619,706,542,240,352,447,567,230,388,803,
830,776,009,806,158,825,707,143,210,075,943,106,385,408,763,865,433,459,882,
176,192,501,415,897,821,068,466,991,979,077,300,856,233,936,613,477,751,852,
524,341,701,882,658,254,842,905,430,547,357,720,800,598,861,379,929,383,010,
978,302,998,175,197,856,795,182,921,323,585,369,077,786,069,690,304,944,395,
248,544,374,958,463,373,920,399,415,515,900,134,243,221,692,571,010,202,382,
276,815,082,670,991,801,822,460,608,622,794,230,997,389,983,656,012,963,071,
781,531,214,838,618,091,692,509,555,231,376,964,841,147,461,844,421,623,474,
783,887,542,912,828,794,122,388,550,495,581,372,877,417,564,526,975,530,584,
504,976,794,316,116,269,349,022,909,441,575,881,830,220,860,915,618,955,098,
474,963,262,635,408,139,840,767,210,231,925,121,999,740,434,695,319,125,783,
405,049,446,153,788,186,600,531,422,977,879,320,003,265,979,435,795,025,218,
870,703,530,235,485,316,029,787,376,436,736,112,156,721,702,925,112,638,158,
156,093,408,734,520,618,422,431,597,443,483,564,971,369,804,891,074,172,613,
996,690,333,833,736,419,571,606,190,167,327,946,885,610,653,981,120,899,159,
682,522,694,535,017,989,480,937,691,211,691,032,441,046,054,802,587,192,071,
317,824,317,325,874,440,668,214,899,341,552,259,676,816,078,722,254,026,837,
418,807,839,776,188,838,173,279,166,215,257,194,889,999,501,298,102,571,722,
612,579,776,398,271,512,385,309,907,780,230,130,780,562,603,459,037,734,108,
681,793,596,574,324,602,356,805,940,106,766,228,508,521,622,471,872,765,528,
394,431,697,625,343,728,501,379,717,885,208,927,936,974,348,432,423,349,309,
527,501,032,239,629,863,705,848,195,051,522,213,009,311,500,256,690,731,253,
380,467,884,972,820,030,760,582,996,129,740,100,490,176,309,721,684,958,391,
698,393,610,156,960,089,613,924,823,911,610,629,375,358,716,349,098,795,982,
403,825,534,033,682,631,123,462,172,768,739,819,138,225,004,723,474,666,833,
993,802,346,030,761,762,603,746,327,329,061,570,043,028,167,908,011,643,257,
531,450,086,254,755,558,182,664,651,923,573,196,323,211,697,247,774,023,987,
472,336,676,702,782,246,913,818,801,782,840,348,542,936,053,278,625,352,044,
114,177,311,400,632,066,137,177,372,917,884,005,681,615,923,706,366,388,424,
934,134,121,625,797,467,100,165,133,161,612,183,615,014,858,402,296,779,031,
735,776,332,619,071,444,707,083,566,339,953,556,359,258,189,814,814,110,931,
900,729,117,261,564,252,106,591,780,765,804,196,909,395,025,063,786,924,971,
389,636,816,002,177,741,480,437,245,274,305,092,301,237,798,816,652,276,054,
731,916,203,911,687,510,135,355,770,921,935,782,789,056,679,163,593,808,107,
960,052,154,749,654,605,164,911,533,149,086,302,014,604,563,132,158,425,725,
809,322,828,160,926,775,164,724,775,839,858,172,520,661,045,613,653,792,208,
165,125,914,290,927,728,573,864,652,039,323,111,041,482,349,400,331,522,088,
097,290,609,710,006,538,807,515,714,459,727,696,527,471,984,712,006,042,889,
779,927,718,388,349,542,926,581,284,861,361,376,508,377,776,843,528,058,125,
894,805,183,774,456,184,624,326,797,479,838,824,984,230,370,992,982,295,913,
848,355,488,583,321,904,032,870,478,692,457,146,886,033,217,786,253,685,352,
246,535,875,780,622,527,424,636,733,427,077,909,310,039,701,730,497,606,111,
457,972,901,799,507,682,882,546,785,928,087,762,628,832,929,658,119,373,672,
718,227,146,552,058,122,378,230,109,893,762,650,602,638,896,139,480,083,807,
410,434,447,674,745,714,564,137,811,492,044,913,356,262,296,125,199,620,882,
865,290,347,742,796,878,314,857,902,054,326,338,700,127,794,232,253,585,970,
017,604,160,001,059,847,847,813,039,023,255,429,298,176,346,721,150,091,211,
010,841,523,761,613,435,860,612,733,839,569,481,590,524,392,827,669,078,669,
372,149,916,024,990,951,249,441,932,448,516,715,421,684,088,200,091,247,429,
705,207,218,331,942,967,444,802,925,463,713,578,272,563,457,678,479,790,586,
411,618,752,500,830,228,419,904,467,141,220,481,700,625,797,928,853,375,388,
247,696,782,147,607,218,563,524,817,348,086,360,044,830,505,452,965,465,217,
781,642,425,042,273,027,631,664,104,064,887,504,843,781,763,005,342,615,862,
318,644,631,538,572,681,743,311,128,532,782,017,964,930,888,559,739,436,834,
315,532,793,463,289,593,452,023,474,983,134,220,691,167,173,514,846,477,333,
776,194,752,002,241,941,782,769,338,126,535,052,462,115,567,282,142,026,871,
905,249,575,718,454,556,856,424,906,541,328,403,665,210,315,426,486,666,105,
769,902,518,252,750,932,142,624,757,719,197,656,271,788,939,029,899,615,660,
211,337,193,099,079,657,225,565,965,419,728,130,325,083,283,956,700,060,289,
135,080,572,176,849,055,535,347,899,169,086,508,333,970,020,988,813,934,129,
575,920,034,378,435,699,759,313,964,298,587,861,371,842,063,152,717,400,101,
319,518,187,441,231,386,480,310,754,535,714,695,284,052,654,257,090,646,690,
720,197,948,160,461,135,998,848,967,070,880,512,333,716,637,909,795,987,895,
255,304,321,898,320,683,405,674,935,818,725,260,101,642,957,656,277,769,376,
539,972,679,849,807,175,475,612,791,915,790,240,005,414,806,427,844,725,003,
403,961,903,491,777,243,106,210,914,926,503,075,521,349,684,147,423,104,749,
025,931,751,813,608,657,393,143,163,417,197,820,467,942,077,665,747,901,128,
755,837,272,758,919,284,658,837,996,815,153,043,246,195,128,934,216,420,059,
588,511,560,867,210,022,226,666,917,364,819,748,494,629,588,908,568,683,091,
796,811,733,759,159,891,844,995,388,076,600,622,965,065,666,613,696,860,333,
008,869,261,837,847,290,464,816,544,302,091,860,090,942,525,091,805,530,704,
294,228,298,469,372,162,401,391,342,579,553,981,518,511,128,280,356,449,899,
767,132,682,966,774,013,836,220,961,283,772,287,126,993,623,128,656,735,778,
741,864,324,598,347,288,223,393,731,590,784,027,843,917,241,905,425,945,575,
894,891,460,197,245,334,843,818,651,235,325,941,125,198,175,790,600,577,241,
848,438,996,884,736,923,129,849,443,909,749,896,407,319,167,153,846,176,213,
945,356,272,830,174,703,519,179,558,965,668,056,848,287,107,751,857,747,105,
930,171,051,486,447,366,257,174,170,430,250,685,051,101,459,439,177,163,547,
199,605,658,846,321,894,248,240,041,275,806,944,581,603,352,872,257,231,305,
598,162,691,155,500,409,818,261,527,864,964,974,369,022,446,430,952,727,787,
810,534,826,128,297,048,400,628,671,376,865,934,750,735,698,590,168,873,252,
940,908,694,088,082,670,213,048,149,994,900,166,725,999,438,752,881,089,621,
298,751,842,743,486,014,006,354,542,316,090,419,334,305,553,725,023,418,032,
196,740,888,018,990,535,266,506,639,812,603,834,324,710,914,690,792,293,745,
736,064,399,729,989,550,547,161,212,836,316,430,905,498,126,620,238,764,312,
099,583,147,924,313,943,184,813,802,707,691,458,144,113,353,164,869,283,578,
434,962,710,388,791,858,896,798,565,372,721,529,117,297,537,351,070,381,141,
798,861,253,732,542,923,949,923,901,418,987,119,791,290,877,969,640,105,730,
405,336,850,093,906,562,471,216,251,613,907,083,854,968,193,739,497,952,573,
152,231,303,411,858,649,905,446,799,778,547,241,456,907,693,821,482,399,335,
714,016,306,345,510,001,431,544,489,088,207,291,816,657,752,366,403,621,280,
252,330,205,670,023,660,599,839,079,482,910,463,295,659,804,104,399,244,483,
526,839,229,033,337,542,803,213,771,836,065,483,487,342,679,856,121,346,783,
170,668,531,827,435,097,717,021,854,753,795,471,863,130,298,058,698,212,507,
275,602,091,714,592,283,765,484,866,967,655,709,043,762,201,472,391,338,791,
778,424,012,203,420,459,617,200,063,197,644,980,185,982,742,720,805,909,568,
399,206,477,533,433,190,721,459,716,630,234,745,819,399,531,095,779,151,698,
792,005,345,204,244,937,881,278,383,754,044,416,007,046,821,618,146,981,854,
154,897,816,265,436,853,812,851,142,609,067,927,283,215,917,321,649,960,891,
836,243,182,284,130,170,125,810,788,640,554,250,670,818,762,678,466,918,727,
929,110,157,422,347,379,377,922,849,488,017,591,972,274,229,938,671,806,003,
583,859,211,991,188,609,988,593,113,441,967,359,971,345,148,232,894,745,075,
785,741,597,532,028,095,541,417,020,386,618,678,158,178,294,365,998,008,658,
147,805,632,335,995,915,650,837,454,437,691,300,370,598,247,041,484,564,297,
953,866,763,413,076,480,349,057,585,660,530,924,383,892,709,633,298,067,138,
593,881,638,234,482,334,495,512,178,690,439,634,282,784,928,384,888,589,386,
219,780,477,970,160,909,187,914,132,206,779,805,260,195,307,083,327,564,418,
399,838,135,388,944,792,389,668,099,260,867,625,049,549,926,217,675,506,094,
497,428,506,872,599,860,084,281,949,511,767,295,894,110,593,601,872,784,724,
281,961,608,280,586,456,013,722,083,543,402,362,099,405,579,202,459,575,501,
038,805,458,635,358,756,757,435,036,022,501,704,511,444,921,977,113,645,970,
050,588,804,189,124,483,577,170,066,628,268,808,412,879,994,681,242,988,318,
907,148,867,833,984,579,566,428,495,143,316,492,201,233,675,377,568,661,466,
389,320,532,903,168,539,258,152,160,300,271,037,814,913,190,355,785,601,672,
735,535,673,522,524,938,660,019,142,357,865,662,539,730,993,090,154,431,903,
708,254,845,652,540,658,431,846,732,182,150,596,465,116,240,204,029,499,891,
968,259,855,437,182,733,533,883,714,116,462,744,453,253,570,608,126,347,867,
512,627,231,555,975,482,630,849,267,194,449,690,155,908,286,369,482,812,974,
223,844,328,697,205,782,224,721,196,662,673,549,663,493,631,410,765,368,471,
010,146,311,584,217,536,462,678,104,071,137,334,284,028,008,811,460,529,305,
138,297,778,206,851,503,048,454,820,491,829,631,423,497,987,601,909,981,159,
333,156,045,128,137,334,968,659,288,480,664,803,756,281,476,640,345,028,368,
200,537,376,496,942,201,885,851,426,264,516,172,792,220,919,193,255,845,821,
586,929,613,334,121,709,898,093,736,648,011,791,490,014,958,932,242,180,990,
460,232,010,543,940,768,331,695,102,912,793,447,179,662,352,065,653,907,665,
719,566,261,617,047,361,686,220,371,100,875,353,520,234,297,324,577,200,320,
271,976,825,833,100,325,645,391,230,796,837,476,964,775,872,834,803,000,586,
980,470,953,179,403,034,244,562,231,812,113,376,319,810,663,668,017,969,711,
933,705,192,968,116,631,364,572,603,786,851,356,247,995,155,662,473,195,720,
212,077,382,198,941,623,008,472,093,299,638,856,741,522,207,307,764,657,067,
555,464,774,376,999,191,661,970,311,905,969,038,850,297,425,975,749,914,982,
424,095,906,143,002,184,249,391,847,191,050,894,596,996,018,628,997,948,140,
823,585,509,127,050,791,451,572,794,474,989,328,121,095,610,988,514,287,863,
540,528,246,076,666,933,174,167,011,035,201,095,812,484,561,643,544,918,942,
311,640,240,437,602,385,959,326,885,431,490,009,561,891,271,356,970,062,814,
721,080,128,176,617,237,696,049,453,884,095,548,152,227,945,460,018,818,034,
759,199,822,357,447,603,469,620,957,342,225,489,861,277,009,696,257,499,314,
696,332,461,090,003,284,134,336,581,887,672,010,425,600,290,351,745,774,858,
304,714,698,385,789,850,638,480,703,039,149,418,539,871,128,072,099,830,887,
970,715,180,070,389,865,636,065,844,892,712,960,494,786,227,789,047,798,205,
855,799,276,216,206,074,311,348,873,506,958,201,377,294,162,398,247,070,094,
164,525,140,515,230,664,550,887,141,030,425,471,467,408,226,694,497,542,365,
874,871,044,601,716,902,962,872,095,406,341,541,177,840,269,970,004,696,600,
980,550,687,277,701,584,272,072,723,921,827,213,876,749,956,226,094,753,821,
207,445,201,918,726,053,293,362,410,727,617,705,349,108,622,805,503,233,929,
490,130,374,373,898,012,113,051,912,512,484,007,913,432,404,851,323,572,048,
188,998,700,816,902,417,001,989,892,187,248,109,234,654,034,922,249,910,074,
504,142,443,951,008,047,238,565,343,153,802,157,268,759,187,875,369,741,079,
321,879,705,965,018,119,141,732,031,353,038,075,239,715,010,385,837,515,589,
639,275,616,415,094,493,359,402,375,508,198,236,443,120,023,524,627,580,229,
688,733,717,324,505,921,188,014,165,753,516,213,665,604,960,108,236,002,711,
023,225,761,609,748,524,420,769,396,890,930,226,378,640,237,709,026,526,859,
492,639,886,269,108,004,077,610,374,371,979,153,574,916,220,935,699,200,249,
093,773,423,937,004,980,989,992,719,548,511,899,735,784,642,093,839,240,466,
761,720,825,895,997,776,302,701,316,550,400,242,825,735,886,978,339,089,411,
683,083,418,273,074,988,992,515,639,729,110,038,619,351,580,646,138,869,295,
066,469,323,660,768,216,428,695,144,936,750,031,006,754,558,544,255,381,865,
596,216,258,580,095,694,718,405,980,433,341,923,396,246,298,141,144,036,210,
263,434,823,353,079,543,111,878,595,541,573,890,328,784,064,000,514,701,936,
315,272,042,242,834,871,330,101,154,410,561,884,758,124,397,609,997,932,333,
488,785,773,343,303,530,722,215,011,213,961,068,038,148,330,412,017,365,927,
796,065,060,151,868,396,845,860,782,842,054,172,242,586,584,626,210,112,254,
107,729,171,811,780,902,082,304,053,849,892,648,484,941,210,889,632,000,650,
411,087,306,501,723,804,694,597,748,964,108,216,825,126,913,651,617,481,592,
835,609,796,623,783,361,453,009,362,499,470,556,261,603,525,685,467,936,277,
928,582,157,474,066,089,056,984,513,660,804,006,162,299,173,792,041,523,930,
049,837,356,413,707,989,758,824,583,298,977,208,561,188,801,020,362,469,554,
352,652,179,019,030,869,285,174,725,715,146,756,681,287,754,386,573,023,864,
798,005,468,567,745,613,338,816,876,735,374,923,464,793,896,251,941,936,444,
576,276,497,364,291,138,815,321,128,017,359,731,881,722,627,167,590,876,401,
812,492,129,816,694,301,622,115,722,290,314,230,564,370,352,444,423,173,351,
171,688,877,504,654,739,149,782,473,376,593,107,315,599,914,158,966,608,635,
291,712,441,051,487,229,615,803,606,922,251,747,635,435,430,421,619,536,190,
823,145,149,289,953,560,827,441,067,766,077,401,573,694,334,935,364,938,539,
444,010,215,553,896,174,715,824,322,907,335,097,836,934,482,868,353,046,203,
071,969,374,054,452,832,126,096,908,712,945,750,044,827,868,680,624,135,746,
620,637,860,293,701,059,412,574,525,736,352,775,908,126,465,713,704,775,343,
458,825,186,596,172,152,744,170,492,992,055,452,078,645,531,461,205,865,953,
084,953,103,079,935,627,197,204,655,610,405,897,410,447,164,441,947,034,430,
937,185,156,551,301,627,645,752,162,910,924,665,826,869,091,417,292,802,988,
849,545,658,640,722,526,593,399,030,893,907,669,784,362,966,206,513,161,967,
980,328,447,633,471,278,233,800,165,857,915,678,726,968,464,681,465,152,140,
326,546,756,145,526,274,671,859,466,259,629,728,573,866,927,692,775,620,739,
115,159,968,504,488,504,761,680,116,123,672,553,665,437,876,725,213,434,651,
603,666,077,600,564,555,738,953,139,550,757,579,354,979,216,566,342,783,189,
389,944,554,540,297,290,959,443,676,624,365,812,439,791,076,186,998,932,964,
776,861,137,140,813,782,165,736,060,735,155,871,311,908,979,304,868,414,980,
243,727,402,869,869,827,197,831,864,837,740,295,305,775,073,288,295,497,477,
084,430,448,542,906,815,937,451,313,935,744,763,812,422,610,909,713,686,243,
036,713,778,358,587,429,025,922,158,893,846,190,968,220,860,471,599,498,851,
479,646,467,859,514,583,510,012,084,606,643,098,276,884,684,216,003,560,351,
651,233,718,752,661,704,376,583,781,074,752,374,694,021,848,500,700,331,564,
240,952,016,631,868,213,292,237,097,742,372,648,696,388,539,645,930,343,723,
291,578,758,654,093,983,779,317,720,675,505,274,246,315,074,164,019,892,287,
963,029,135,966,964,413,309,404,469,886,296,236,221,423,136,362,890,510,640,
766,432,158,429,297,719,060,605,954,460,996,532,128,534,963,747,173,464,783,
866,491,484,359,534,610,502,878,466,623,622,034,046,304,152,128,862,047,419,
359,676,443,604,096,193,247,881,803,108,741,854,411,585,769,852,840,554,364,
312,344,480,800,681,109,383,325,008,541,069,966,006,249,218,815,497,107,720,
792,263,753,178,548,345,995,862,143,729,843,660,468,411,355,934,618,318,090,
313,139,709,203,206,888,929,077,025,530,176,765,781,573,638,810,595,903,178,
894,783,909,816,071,902,748,881,458,342,282,309,632,278,269,830,906,378,921,
275,139,270,105,923,123,870,135,614,744,066,395,395,402,816,214,832,764,251,
868,726,769,428,972,226,722,917,455,722,605,475,723,198,982,724,786,694,964,
045,758,334,604,313,137,077,467,539,854,694,027,467,635,466,265,553,237,167,
134,393,420,019,224,329,937,721,552,302,841,331,320,289,731,602,446,362,581,
027,848,686,285,669,909,528,565,389,220,614,194,128,269,174,040,584,892,065,
645,080,606,282,336,445,671,627,641,305,465,554,236,985,756,041,342,517,427,
614,867,043,966,976,554,596,848,254,170,305,159,486,811,023,892,096,701,381,
333,690,750,682,271,361,217,653,089,587,051,602,153,274,722,515,740,899,338,
470,954,172,002,981,708,718,999,199,386,061,820,582,291,095,215,745,467,188,
865,750,192,757,112,249,752,224,132,469,452,194,481,857,485,263,164,584,890,
760,049,159,126,009,529,118,908,798,119,568,397,088,928,001,973,121,975,256,
764,600,648,951,504,581,097,739,105,144,094,457,997,834,461,248,378,980,141,
878,444,443,810,984,600,885,520,369,273,559,629,075,056,810,392,209,386,787,
213,437,917,414,167,977,942,685,601,618,794,971,463,033,937,401,773,095,437,
679,283,710,103,465,994,422,111,715,014,798,311,229,232,862,982,271,637,502,
959,726,812,025,266,460,997,828,723,131,948,833,613,316,637,162,189,269,172,
705,335,400,998,180,689,131,512,643,509,625,957,110,422,603,640,527,056,505,
754,867,215,417,226,873,110,000,109,791,511,454,674,098,388,796,800,178,448,
531,738,093,965,350,782,948,764,975,407,608,522,519,258,750,667,809,931,214,
269,904,599,046,991,563,905,601,062,095,509,991,789,954,040,764,625,022,793,
728,153,020,291,243,570,004,505,479,423,918,116,689,267,822,886,544,091,863,
999,502,893,854,505,077,648,526,682,170,905,067,364,510,296,656,693,362,164,
359,893,281,782,335,306,474,688,262,512,557,318,646,365,348,630,981,819,516,
252,725,771,369,418,806,252,187,123,095,125,810,982,250,600,619,149,206,828,
049,094,969,878,938,199,017,384,856,540,509,185,442,140,445,347,836,341,148,
726,979,326,160,847,065,091,562,788,718,591,331,670,702,180,485,204,226,954,
808,030,430,444,034,540,263,469,821,694,682,699,908,108,161,397,314,129,525,
524,400,322,954,159,326,548,217,171,088,688,558,754,041,301,800,160,252,488,
835,637,062,228,065,092,524,028,698,358,403,180,203,960,303,838,223,388,808,
876,524,975,596,264,479,779,607,054,514,284,234,609,944,359,598,112,144,106,
227,538,401,641,405,835,856,614,231,199,339,393,931,968,080,724,490,046,371,
510,261,198,115,915,428,620,997,373,562,166,595,833,015,614,115,572,853,859,
678,356,396,523,557,485,616,089,123,032,488,470,799,213,073,577,952,387,419,
689,579,124,612,662,931,902,807,767,472,930,155,951,405,385,987,855,595,421,
112,932,852,503,124,800,821,213,530,638,518,624,856,205,246,603,609,014,155,
179,078,839,285,634,813,849,432,037,863,961,053,786,353,763,290,502,639,509,
080,004,866,173,091,457,617,805,491,219,454,523,961,613,301,112,417,115,710,
575,960,656,935,830,271,386,015,793,075,640,635,104,241,287,517,648,159,773,
909,523,468,367,883,776,474,112,680,410,846,371,678,177,248,882,414,321,394,
381,375,281,676,030,308,633,183,409,834,637,912,273,000,709,759,184,537,102,
492,135,204,257,476,078,164,364,254,765,583,931,552,851,605,516,645,474,734,
344,974,130,565,310,279,793,701,798,627,066,042,613,823,241,276,036,701,479,
265,751,704,834,239,033,642,305,411,602,567,395,030,731,080,705,734,259,462,
266,013,677,913,319,187,097,179,825,087,088,019,611,264,336,324,229,005,844,
359,772,248,306,758,375,372,805,255,879,097,857,765,398,029,309,183,019,747,
328,659,162,694,361,633,203,075,621,364,044,558,390,268,194,799,426,944,292,
363,018,420,946,576,044,357,261,537,177,193,266,994,696,824,917,609,451,492,
991,707,498,508,136,275,511,517,208,186,717,454,391,378,604,475,364,076,000,
485,033,556,118,556,942,849,728,589,365,472,253,478,662,053,056,566,470,594,
506,058,031,584,257,346,672,530,428,613,401,257,986,351,427,693,487,397,910,
575,031,257,528,492,872,860,834,546,058,614,953,500,899,280,496,077,690,569,
559,936,576,300,531,852,820,787,188,429,824,366,550,175,571,772,659,177,977,
109,506,436,711,501,185,375,394,447,900,963,818,364,946,275,902,189,692,652,
631,523,709,701,563,882,583,147,245,352,220,590,648,301,251,882,133,061,870,
291,374,989,027,401,559,172,354,913,422,620,740,982,416,715,078,128,721,369,
936,241,422,946,769,475,347,800,273,620,232,991,580,879,469,292,442,060,002,
822,114,943,543,028,965,871,782,227,625,729,946,794,537,715,535,388,583,740,
944,936,816,246,778,296,561,549,040,366,263,746,837,082,398,904,777,221,037,
932,030,470,774,424,623,085,690,626,595,250,402,489,639,371,504,062,984,706,
229,220,392,220,270,863,551,283,565,711,038,368,758,203,358,874,781,719,581,
217,842,595,084,130,928,219,424,049,229,868,475,648,314,929,847,705,093,254,
341,608,852,553,313,281,744,492,855,075,998,267,586,936,885,717,137,927,000,
412,630,139,972,987,371,643,057,444,442,454,590,945,497,596,017,567,528,790,
035,110,605,065,137,090,208,653,378,362,144,921,037,824,206,251,971,735,515,
876,000,955,336,824,707,094,049,581,905,563,499,151,442,823,387,061,795,346,
719,950,404,992,842,257,500,701,563,975,731,992,280,762,140,715,722,781,883,
633,519,708,639,280,031,874,521,940,295,421,598,351,690,675,180,187,662,537,
125,735,446,929,006,722,778,796,414,037,805,379,920,771,389,147,949,866,504,
780,831,798,448,633,333,859,308,989,381,147,514,036,749,026,329,427,651,866,
370,031,216,897,007,283,277,322,609,916,022,403,128,308,296,918,842,511,830,
949,266,599,908,850,692,752,464,611,204,671,157,059,955,925,489,372,333,926,
458,906,738,048,237,497,187,234,110,805,419,060,033,132,357,972,143,486,601,
436,177,839,817,250,485,591,114,591,276,358,463,734,571,990,927,757,581,978,
645,845,129,345,183,592,306,749,285,543,364,608,234,246,799,413,231,552,288,
255,949,174,650,262,094,149,773,992,021,066,137,142,419,762,368,147,398,410,
571,869,973,818,378,710,805,980,884,159,766,866,212,032,060,750,347,263,778,
118,765,762,007,768,452,879,961,860,899,799,064,790,529,191,773,693,285,806,
357,623,071,105,090,446,275,703,421,429,546,998,266,547,468,324,558,304,410,
865,751,497,795,472,890,179,988,417,165,501,309,367,465,062,787,973,015,969,
057,429,420,085,562,240,669,521,615,865,616,968,959,887,053,913,047,950,418,
865,286,758,416,751,091,588,956,229,818,295,217,889,928,842,369,303,261,457,
524,645,695,451,217,882,264,272,117,745,032,498,389,080,211,924,673,398,444,
105,442,659,348,587,659,607,645,313,875,305,117,467,505,655,492,021,970,296,
936,940,517,937,237,936,313,313,630,098,932,746,015,347,396,772,112,753,071,
297,597,795,901,339,088,266,421,349,373,148,164,081,254,363,073,326,734,335,
739,241,937,832,529,333,438,005,413,650,165,391,758,748,659,515,760,899,923,
352,119,951,853,694,548,277,220,314,093,374,345,908,881,252,121,119,981,038,
361,333,979,211,271,905,493,990,013,523,271,325,307,320,272,217,198,616,887,
710,489,293,234,824,490,077,871,600,153,743,027,900,000,480,079,506,384,014,
894,901,386,202,489,210,060,347,588,596,646,762,974,127,108,753,991,856,665,
928,705,451,143,600,808,672,512,690,347,754,063,300,145,181,243,544,326,135,
732,974,569,798,250,202,089,354,031,374,148,863,073,356,016,650,934,675,747,
814,503,973,886,902,891,645,892,994,120,835,866,050,294,525,031,863,529,096,
042,853,284,609,209,238,696,730,844,381,397,081,832,923,447,093,731,836,046,
220,237,862,843,955,603,360,952,033,733,770,845,365,283,809,649,977,640,618,
994,345,624,508,590,200,918,660,348,380,937,877,230,243,452,778,492,195,864,
665,064,971,528,308,109,342,711,980,648,010,967,761,659,345,430,892,951,857,
093,101,688,324,862,917,610,266,839,046,157,326,205,318,406,794,294,433,972,
294,663,016,488,340,557,516,461,092,388,547,408,171,114,017,349,093,976,734,
510,154,963,156,171,347,563,208,522,958,622,474,404,124,779,803,403,747,628,
569,245,156,607,598,553,043,145,930,602,327,291,089,941,893,360,065,737,320,
987,396,332,418,274,709,057,636,599,644,464,764,355,811,434,502,342,939,332,
255,410,151,749,732,535,886,737,487,332,641,940,724,965,161,032,931,156,560,
622,350,429,406,713,537,516,449,380,313,372,369,830,435,513,301,896,007,930,
921,383,615,406,669,663,779,976,509,520,422,833,713,924,108,530,773,960,832,
170,411,621,809,956,078,365,456,574,674,321,627,693,911,396,058,375,191,670,
388,115,845,497,185,686,985,113,974,115,576,194,138,699,304,782,068,858,018,
486,614,348,867,328,826,875,966,061,444,799,948,398,930,200,142,374,693,452,
435,185,506,118,854,795,823,075,305,818,586,448,554,071,036,644,034,662,075,
686,809,776,043,396,858,158,842,569,171,836,779,038,758,552,015,996,337,902,
255,685,640,537,817,108,222,067,847,758,663,325,797,629,383,854,762,160,357,
605,954,671,649,353,849,424,054,232,651,900,129,713,434,956,464,353,425,830,
555,528,435,954,731,378,441,001,440,983,848,643,573,428,206,828,883,120,263,
366,165,473,406,514,861,348,799,091,237,582,551,300,192,872,362,488,354,921,
456,255,408,319,283,058,491,860,905,334,630,887,270,403,456,782,198,931,509,
900,202,263,547,154,723,095,920,201,376,973,697,162,331,051,496,460,494,744,
864,341,367,718,637,899,606,145,833,487,350,842,471,742,764,002,272,178,727,
815,988,319,572,812,674,903,916,657,444,620,979,635,695,170,575,258,415,843,
612,377,686,914,308,024,983,957,227,049,635,950,752,386,137,670,920,030,336,
586,162,189,221,785,885,290,859,472,213,187,033,157,266,859,870,915,595,451,
150,166,610,773,820,654,604,189,805,320,203,869,310,685,388,350,282,979,946,
392,493,991,711,278,786,449,559,444,578,620,723,793,827,109,120,273,581,136,
608,039,044,280,446,101,433,212,814,676,120,451,872,084,205,847,211,869,454,
948,136,440,004,930,040,035,211,773,880,787,081,408,650,465,019,209,535,113,
793,319,858,123,425,348,752,199,399,360,429,245,511,633,694,336,446,944,524,
267,589,766,780,896,210,945,056,781,390,555,883,261,009,203,679,345,324,241,
124,817,691,000,732,636,720,956,627,871,239,080,842,426,430,631,507,846,003,
840,309,730,598,258,137,678,644,243,551,324,260,969,297,739,931,076,935,755,
551,073,659,109,886,490,512,530,294,885,029,907,767,377,145,078,400,816,206,
277,285,391,505,639,654,551,384,885,909,934,208,728,298,831,801,202,862,720,
766,361,766,986,561,550,107,329,620,565,856,004,334,302,699,587,182,079,343,
549,056,634,090,104,366,014,431,730,392,775,256,031,029,505,702,218,172,940,
445,203,317,917,362,193,660,245,574,937,540,047,247,081,074,312,915,453,607,
995,552,230,382,642,234,619,380,125,079,547,298,949,446,918,718,089,373,036,
150,410,497,125,477,434,790,979,125,314,499,237,877,509,992,118,814,787,534,
453,794,926,322,151,368,016,003,685,043,970,656,645,606,843,918,270,022,211,
660,075,838,665,620,431,061,397,748,066,785,943,292,760,830,105,021,649,429,
209,714,957,651,266,288,262,017,835,293,032,794,727,058,060,560,454,856,252,
118,102,532,660,172,158,069,612,568,128,798,475,446,048,424,216,248,468,914,
941,599,444,313,521,077,744,205,689,914,461,294,554,857,246,028,654,912,779,
003,941,776,284,795,735,578,473,346,913,164,481,980,720,375,829,661,404,604,
743,105,637,901,845,576,424,850,930,825,247,939,161,215,765,009,774,995,313,
587,773,063,342,587,863,947,841,008,184,818,971,504,327,521,927,270,752,399,
497,307,422,701,514,103,869,122,028,983,426,622,986,111,874,882,457,146,216,
189,569,550,834,471,626,668,395,145,880,669,972,497,260,175,288,874,532,056,
872,927,669,865,946,843,487,682,594,666,297,689,862,523,230,918,219,393,670,
637,218,002,028,966,671,809,753,182,092,643,112,107,709,142,867,693,279,404,
679,376,571,820,802,102,081,436,149,880,519,904,101,218,207,511,237,731,561,
959,416,796,777,099,351,857,249,230,407,946,571,412,508,053,069,558,718,035,
069,628,358,471,819,641,308,047,599,728,202,764,554,363,027,827,516,254,881,
426,765,053,516,219,945,364,908,167,601,059,277,621,092,436,163,069,619,681,
023,175,973,037,209,530,632,657,800,230,529,553,691,103,271,982,805,176,602,
297,447,539,078,216,373,396,308,833,751,077,450,425,021,504,933,259,210,173,
758,468,728,352,334,546,207,507,689,526,830,968,379,857,852,738,421,093,121,
825,226,557,209,906,464,315,238,159,692,326,396,824,770,980,570,897,194,186,
891,380,612,693,996,600,869,115,076,349,365,483,841,493,999,117,792,370,798,
589,889,468,704,022,832,815,024,157,907,695,928,662,265,422,560,046,884,228,
573,411,743,209,159,917,334,141,897,482,033,691,849,526,850,595,983,193,872,
572,285,479,537,152,993,440,552,923,056,353,662,495,036,044,345,952,249,732,
810,473,200,744,651,525,666,549,230,873,479,680,434,910,488,780,788,495,781,
646,879,590,010,329,570,966,185,704,159,291,747,311,884,644,387,541,581,224,
760,621,034,296,150,594,251,132,084,594,625,004,176,776,834,151,721,209,309,
183,675,282,495,765,388,571,803,483,626,117,133,611,684,969,346,921,502,931,
815,719,604,808,373,140,661,472,223,545,967,752,255,579,179,326,194,871,124,
933,412,359,974,571,354,875,338,639,908,688,379,147,624,585,489,225,453,144,
998,047,884,150,346,170,505,400,981,165,057,231,901,517,468,864,484,128,594,
459,219,998,152,567,383,402,453,649,991,698,975,543,195,576,173,899,443,053,
685,525,663,266,303,627,504,032,584,549,346,422,736,761,430,507,803,413,966,
531,848,000,013,537,465,063,943,043,775,412,330,345,605,167,483,418,093,278,
929,894,361,234,196,610,570,665,045,813,992,535,070,651,832,125,341,153,927,
353,447,571,281,398,111,292,151,276,439,759,092,894,085,930,147,021,786,237,
300,051,375,192,897,217,935,566,838,304,214,643,255,826,706,704,747,641,351,
233,050,494,793,956,056,611,570,805,301,235,292,225,666,880,632,592,222,566,
230,952,037,997,534,186,070,624,696,878,520,281,644,269,219,712,030,398,414,
948,227,793,497,027,080,105,837,524,289,304,941,268,444,779,431,347,472,389,
702,769,472,084,187,903,081,773,659,915,818,777,083,736,689,965,333,508,109,
016,899,314,612,324,033,479,965,821,086,578,240,762,992,937,588,847,413,023,
218,912,135,297,498,409,044,485,271,482,970,534,606,123,478,103,237,586,958,
600,720,976,860,141,941,327,686,156,394,604,456,806,000,663,779,091,121,981,
656,140,822,094,655,049,934,855,143,931,782,572,491,809,131,398,282,823,372,
069,848,688,603,579,592,233,045,697,192,437,837,468,901,811,949,480,486,246,
518,152,582,658,660,795,402,275,097,368,307,052,588,498,727,970,476,193,941,
726,374,808,420,108,752,091,058,733,994,142,534,867,876,504,696,508,323,728,
201,276,311,117,553,059,565,258,842,740,206,544,282,646,033,882,325,564,828,
733,901,281,216,933,205,292,798,831,117,380,581,071,099,580,444,017,130,490,
247,915,042,137,328,175,361,007,469,333,131,566,969,048,363,903,111,510,699,
875,063,905,836,373,287,043,226,488,229,086,217,453,166,269,991,589,950,180,
909,204,194,561,943,833,088,402,424,929,369,773,027,641,723,553,954,423,744,
058,263,653,117,433,247,840,440,915,676,842,112,534,577,153,558,314,452,284,
546,115,084,436,575,095,449,345,918,851,525,937,652,377,347,036,752,799,882,
894,625,903,870,659,926,265,225,614,545,101,612,627,681,628,600,667,008,248,
241,086,200,537,729,837,729,266,302,064,991,480,187,644,450,825,981,014,929,
664,025,350,838,585,757,470,507,353,198,034,427,840,306,697,067,005,324,923,
355,000,682,558,506,248,706,629,210,158,342,859,918,195,272,670,575,043,450,
501,095,424,557,536,195,607,245,354,120,748,361,873,774,303,017,016,379,488,
989,958,166,143,492,739,800,734,827,962,510,408,726,313,556,706,381,334,296,
783,670,040,254,886,946,444,674,392,091,038,035,727,577,019,974,751,360,492,
574,998,562,396,289,515,924,773,970,419,414,701,186,924,003,720,505,653,764,
852,726,778,811,030,080,953,924,810,537,637,513,620,396,387,384,649,196,756,
740,797,469,657,460,613,550,345,005,420,757,224,163,545,695,166,742,324,999,
860,565,740,589,142,109,802,634,034,795,179,983,724,313,684,639,345,876,743,
424,191,558,576,276,146,772,219,554,731,249,144,672,791,479,719,515,123,070,
763,298,095,130,785,587,427,821,995,048,743,796,580,119,520,164,692,693,418,
574,884,695,200,342,775,741,389,005,587,025,989,102,978,483,016,254,729,736,
616,616,761,092,422,834,928,487,174,864,428,746,577,109,031,830,448,707,607,
712,910,177,065,963,823,469,529,594,054,316,849,211,094,069,585,777,905,675,
490,490,159,865,763,542,950,999,528,179,493,855,468,448,180,699,919,847,351,
409,169,236,830,367,385,845,342,424,570,035,814,117,911,804,763,076,491,773,
103,071,828,136,234,237,343,017,930,757,228,961,636,599,488,305,839,974,288,
227,247,986,342,072,473,690,013,423,623,760,934,108,265,496,682,102,375,143,
029,522,149,172,873,190,164,093,518,823,708,976,136,413,413,370,336,647,866,
317,258,703,593,521,624,975,339,753,474,665,187,166,194,773,918,155,602,876,
276,016,238,415,359,377,830,831,528,845,878,190,410,348,148,291,513,498,659,
310,923,072,546,360,081,120,505,306,403,343,974,948,549,898,814,233,810,369,
723,946,070,833,857,064,987,412,730,435,891,406,211,911,354,351,425,282,352,
845,562,069,326,900,441,286,126,370,232,493,006,105,002,189,677,047,039,909,
010,964,138,387,454,776,219,209,437,464,990,626,968,635,943,234,132,032,283,
030,501,745,488,772,703,125,384,428,649,747,931,733,482,183,842,781,027,749,
630,259,863,810,296,576,890,367,482,735,528,416,526,358,948,160,922,112,174,
395,356,221,503,647,688,976,280,680,035,641,389,491,912,740,135,030,268,205,
006,932,293,296,357,033,346,474,680,279,463,977,227,188,144,216,316,937,482,
638,428,406,235,755,234,406,544,698,646,628,665,298,504,375,900,934,887,905,
639,106,297,538,244,166,264,574,595,549,430,771,088,956,338,759,526,422,761,
564,271,135,736,528,677,044,646,208,376,160,111,307,708,369,832,718,475,090,
231,672,259,504,802,749,578,873,961,838,129,926,035,513,107,797,347,553,280,
117,800,897,441,290,474,144,095,225,545,899,459,212,444,945,622,535,713,634,
450,432,294,079,375,235,385,823,640,008,643,055,898,872,252,633,446,473,725,
793,767,978,631,567,591,342,746,494,216,274,768,002,592,513,871,308,901,215,
286,634,291,105,568,367,549,787,857,908,655,439,844,179,787,086,801,819,589,
499,825,570,144,359,002,404,040,735,856,131,123,535,278,187,764,856,575,704,
731,286,924,752,835,539,808,928,444,345,134,414,961,892,089,246,747,775,174,
848,227,136,825,723,109,355,273,120,821,470,167,372,754,993,737,603,741,374,
220,387,921,607,704,757,073,019,969,841,777,739,666,459,078,680,787,368,413,
412,171,091,651,233,666,204,496,572,978,619,508,222,308,495,636,091,926,835,
651,602,149,316,798,586,794,219,709,236,618,147,611,745,189,136,660,074,157,
430,912,550,697,449,498,363,052,820,622,603,464,777,185,029,929,651,846,529,
792,384,949,199,407,386,646,504,245,849,282,664,576,921,949,221,863,291,731,
833,057,246,507,193,975,298,472,357,947,157,468,873,807,145,410,988,669,199,
850,073,021,227,977,782,619,574,891,549,478,327,689,949,179,435,211,546,568,
685,010,038,391,886,654,890,589,964,751,509,491,115,963,185,572,723,105,925,
869,174,686,066,890,303,751,559,835,757,044,959,695,490,126,167,635,513,808,
181,057,310,500,310,013,989,459,922,734,647,877,877,181,189,261,118,447,012,
685,199,624,284,285,440,748,149,824,346,572,530,760,642,642,705,850,992,540,
799,885,354,983,416,418,173,138,018,611,026,304,465,500,763,161,071,774,171,
362,064,849,601,321,847,871,005,252,135,430,372,748,094,115,589,199,105,436,
454,831,008,694,376,594,677,690,632,890,809,689,279,916,914,541,070,936,788,
462,189,640,539,067,500,991,628,442,095,012,998,380,920,960,219,986,276,560,
866,806,603,590,552,338,734,157,184,197,505,422,539,620,337,355,877,299,155,
749,401,816,487,100,879,570,268,752,828,972,663,712,758,163,669,108,941,650,
438,557,812,619,434,887,340,518,248,579,403,527,300,024,901,055,617,913,829,
241,812,500,589,645,804,118,675,476,963,159,188,733,402,993,207,378,872,628,
784,096,431,129,075,036,504,997,108,971,245,893,734,809,476,385,497,988,174,
967,662,222,978,556,447,920,808,101,553,333,032,678,462,195,761,967,284,379,
954,005,502,810,683,368,562,702,069,792,454,205,489,264,298,576,085,184,628,
173,338,534,295,935,154,157,023,342,329,215,500,688,992,594,092,495,590,022,
311,003,626,542,487,819,155,368,858,064,520,077,451,520,067,699,208,111,515,
661,017,810,921,439,506,002,808,007,894,461,135,534,718,068,894,704,829,245,
747,394,350,143,358,113,535,119,632,132,951,706,962,241,071,501,596,530,013,
549,037,601,386,034,636,918,921,631,678,311,230,972,353,031,021,130,349,007,
525,078,153,037,051,002,130,072,623,482,199,234,362,528,051,622,251,602,466,
673,329,415,716,503,798,653,297,474,553,330,773,874,581,273,519,419,279,325,
783,336,332,709,745,457,129,003,139,926,591,758,572,628,359,342,604,328,557,
092,903,292,509,457,225,641,615,337,617,555,740,336,394,211,986,476,222,856,
955,430,439,663,357,984,771,903,163,091,225,672,697,488,945,174,266,410,245,
444,637,618,475,669,766,503,108,983,823,754,435,889,738,983,606,737,829,979,
943,576,326,333,002,447,354,254,316,132,691,977,439,310,219,143,951,238,276,
564,221,596,117,237,518,543,245,700,802,835,938,622,245,250,781,789,311,162,
608,945,815,143,011,779,064,898,978,733,130,599,518,973,189,930,917,739,003,
918,342,011,732,870,395,857,220,485,125,065,258,533,797,691,794,044,438,408,
987,054,248,821,650,528,064,843,324,478,319,319,996,760,275,540,019,228,657,
588,698,537,798,580,214,863,943,348,398,853,087,702,504,188,423,665,952,077,
218,580,696,073,561,792,598,377,280,063,346,999,256,568,588,029,098,882,637,
407,425,939,943,714,592,973,765,936,364,669,681,689,341,335,919,870,620,476,
011,592,447,838,492,854,183,582,639,989,285,390,203,033,504,079,940,224,922,
233,683,036,527,953,165,998,017,847,675,940,994,800,759,092,206,686,432,802,
378,430,066,843,182,081,471,151,890,739,301,578,301,840,991,295,193,479,039,
087,681,528,856,265,388,519,397,858,201,525,411,352,041,271,923,407,060,266,
009,156,564,653,223,184,794,529,495,200,501,078,613,828,531,476,262,466,584,
414,980,430,486,652,188,263,702,289,711,240,434,668,345,295,957,207,512,904,
630,063,653,808,084,426,924,472,053,814,406,557,966,241,072,618,660,854,894,
059,563,771,546,375,221,091,572,599,948,066,353,053,518,876,173,879,500,866,
474,128,540,509,044,590,930,724,127,136,906,478,019,992,824,526,906,301,900,
513,593,445,468,719,513,047,690,390,360,791,008,939,468,446,890,617,461,761,
749,239,347,825,027,080,902,605,303,831,562,507,108,093,718,354,458,620,143,
079,566,520,273,429,892,547,217,834,742,880,101,830,442,772,561,834,795,567,
315,228,692,748,613,043,554,094,141,096,492,570,346,738,524,262,970,337,921,
626,001,920,113,098,668,844,435,116,747,442,947,455,341,455,581,286,918,671,
028,010,785,447,433,835,946,272,601,074,600,981,464,633,147,707,171,980,825,
836,549,561,572,121,677,016,830,405,894,528,097,907,881,578,129,684,630,859,
020,865,913,983,545,439,607,223,046,682,476,945,045,371,749,859,386,561,756,
081,620,532,702,245,386,190,500,000,143,706,441,684,709,608,533,614,919,229,
153,128,538,991,214,285,682,777,647,265,285,909,593,540,938,842,252,355,656,
817,176,621,861,321,374,081,515,805,155,533,912,477,147,091,294,269,352,817,
989,878,938,536,045,474,540,211,000,530,705,198,054,787,273,448,508,005,846,
480,692,376,531,658,549,565,538,791,217,768,142,554,294,644,157,966,003,746,
518,966,403,547,201,155,988,313,741,572,231,768,385,966,448,970,155,651,931,
241,996,395,386,382,266,161,307,898,792,394,239,254,351,159,161,502,761,516,
576,973,352,843,991,073,226,158,495,648,835,730,409,174,383,304,499,145,494,
711,932,247,506,865,062,709,719,235,033,247,344,750,574,908,314,293,457,886,
965,280,067,288,842,981,890,697,914,399,291,354,764,559,454,259,181,939,067,
498,914,726,816,454,048,184,411,748,127,606,131,235,410,557,193,886,442,748,
224,368,383,248,113,258,794,624,586,858,481,094,645,362,687,736,413,275,012,
950,126,246,421,716,399,513,736,911,962,062,426,569,486,773,564,711,554,876,
515,511,919,495,003,574,240,870,609,886,579,096,571,389,868,519,786,978,058,
876,634,067,830,848,717,245,694,252,137,652,390,809,763,801,236,573,973,143,
378,922,878,769,892,243,137,511,891,665,185,831,858,404,739,455,393,938,081,
340,625,969,066,317,240,857,019,557,858,183,215,815,846,477,035,697,791,290,
836,541,556,264,977,019,960,978,524,020,457,591,030,173,532,872,783,099,637,
760,621,333,368,486,357,659,418,098,246,107,192,665,284,193,334,664,597,854,
244,052,906,989,963,898,992,779,403,363,703,874,689,515,654,600,262,070,464,
117,493,499,008,448,718,144,814,352,426,174,619,587,298,224,814,470,518,951,
697,958,934,257,933,329,257,963,949,119,316,912,358,243,144,509,191,133,498,
809,619,549,196,246,150,373,715,799,050,483,642,666,555,782,545,209,221,723,
485,204,116,762,073,962,279,095,462,469,633,695,794,345,398,107,450,982,965,
174,972,014,132,613,550,254,666,118,279,148,635,412,715,998,123,708,814,144,
732,870,183,174,796,109,262,204,591,097,556,082,801,355,001,286,042,470,970,
132,095,632,161,475,659,541,623,752,972,874,718,901,846,016,538,266,452,161,
266,457,526,256,168,296,533,062,118,926,123,320,269,235,919,368,394,949,671,
575,613,147,944,212,701,121,264,454,900,210,478,266,020,883,064,340,243,283,
589,436,993,709,425,640,663,810,027,726,427,910,123,117,671,993,390,794,419,
615,560,621,535,357,404,620,848,309,352,542,277,760,291,664,565,318,385,205,
556,907,264,398,867,380,658,061,296,883,882,621,985,922,667,142,346,231,012,
750,731,570,638,680,016,200,788,027,325,971,459,364,288,891,505,521,182,748,
620,454,590,794,667,004,149,258,473,238,788,444,589,308,500,728,573,545,185,
958,561,445,918,869,330,825,553,761,737,000,500,600,554,829,578,136,203,508,
257,325,314,625,018,497,422,501,722,933,692,020,768,319,371,628,613,334,856,
655,216,976,264,721,925,692,633,474,770,106,937,450,593,391,884,880,761,469,
359,055,754,278,650,587,646,761,095,226,904,901,089,320,154,146,468,983,211,
223,423,756,298,233,047,661,662,683,192,677,790,791,333,659,236,829,958,499,
705,912,142,067,650,178,516,208,165,379,457,739,632,812,592,308,244,149,566,
741,325,907,642,385,875,365,287,961,021,994,299,828,260,666,872,659,987,840,
308,266,816,355,663,170,155,405,079,152,684,750,747,683,654,169,193,940,863,
930,655,080,255,707,435,153,805,212,711,535,127,447,290,718,139,264,082,974,
933,380,772,703,441,154,881,298,703,851,773,443,390,908,963,871,996,067,755,
124,737,010,426,229,153,021,401,530,615,105,247,855,494,922,513,117,251,001,
137,565,892,101,543,199,158,119,558,594,225,818,442,644,822,602,383,356,184,
908,322,139,422,128,351,627,263,567,622,858,574,779,619,561,283,982,362,581,
989,535,088,800,011,089,023,120,011,380,927,855,976,966,732,259,956,708,492,
070,730,047,961,226,197,473,614,334,794,573,466,174,995,931,293,952,271,957,
431,062,709,204,692,917,977,398,699,976,888,726,303,546,632,400,895,832,785,
999,873,761,908,327,477,632,408,276,784,942,567,157,213,745,349,386,926,269,
619,747,142,220,429,660,483,042,731,557,960,192,686,924,325,252,029,729,862,
483,066,739,239,066,212,661,867,535,645,704,133,097,748,310,450,499,731,022,
585,227,261,224,336,258,754,583,138,372,233,128,322,052,053,391,641,616,374,
286,004,348,290,104,511,001,746,134,698,696,169,297,222,117,618,742,831,065,
993,242,242,284,907,811,666,330,442,729,356,180,453,995,467,751,823,730,428,
106,740,482,375,836,272,675,022,369,271,721,302,337,230,281,569,243,437,150,
474,030,571,156,235,258,955,083,702,545,122,342,805,123,771,453,363,421,485,
646,369,230,657,102,789,864,549,876,021,127,624,553,243,292,866,738,268,691,
449,518,996,855,543,298,446,674,006,668,701,630,685,847,937,139,157,670,989,
311,304,410,874,096,276,980,867,449,373,610,973,571,655,161,853,012,325,223,
328,866,240,048,653,025,082,512,437,188,566,190,351,714,695,295,478,227,336,
139,581,864,468,414,311,001,312,900,626,106,569,692,638,560,170,550,030,444,
853,330,060,360,838,942,683,529,284,953,411,410,286,830,137,204,000,593,834,
305,613,219,844,514,286,249,526,462,656,950,377,440,022,221,619,374,276,416,
448,664,099,820,914,305,839,882,361,202,601,580,683,507,415,512,690,696,870,
737,573,523,767,984,485,862,452,365,693,925,248,090,217,779,367,309,367,659,
493,805,353,535,890,670,172,605,826,372,985,739,397,317,882,913,648,512,956,
223,203,206,895,323,833,842,855,515,240,608,566,193,264,246,576,078,891,671,
611,196,297,441,909,152,256,980,819,188,820,776,300,647,112,523,655,013,560,
002,789,378,203,249,593,410,827,272,664,200,359,841,960,171,549,274,977,784,
581,758,904,888,977,249,620,572,134,326,371,124,218,375,128,844,054,073,319,
571,641,033,722,716,362,645,742,973,378,902,163,393,945,082,812,677,759,254,
667,522,789,882,705,533,854,375,177,490,080,749,964,532,531,081,835,304,134,
412,176,652,247,057,884,324,709,358,937,759,346,583,462,249,861,482,374,445,
940,362,457,020,321,277,359,847,452,429,926,591,525,528,170,940,519,738,642,
559,449,608,336,776,121,241,209,415,480,235,901,894,829,376,121,649,041,043,
364,549,516,001,968,254,248,828,279,977,475,181,513,709,850,482,504,956,218,
324,292,560,232,534,760,350,227,865,583,752,195,782,158,241,702,238,112,846,
038,458,558,729,964,787,500,247,607,918,299,639,608,223,477,231,848,648,825,
610,522,802,599,719,002,956,763,030,992,582,946,591,447,170,275,982,623,374,
804,134,727,818,966,065,981,076,498,825,987,632,132,491,883,174,456,514,247,
896,768,343,735,630,567,120,990,909,894,724,428,531,270,970,929,913,471,461,
131,477,622,430,106,622,462,731,627,110,517,970,802,363,371,493,623,569,713,
740,581,401,095,400,106,511,651,638,988,077,249,742,896,244,744,117,428,476,
412,246,367,282,692,858,022,135,745,614,824,184,637,152,266,952,448,638,785,
952,759,508,073,625,680,360,567,518,263,521,361,400,830,021,282,499,638,060,
531,157,271,244,392,773,990,864,045,502,779,024,555,251,740,135,254,237,348,
356,930,424,981,782,206,466,341,323,950,468,971,150,892,493,794,422,549,987,
230,025,215,921,525,590,669,681,623,113,990,645,651,311,356,772,944,861,085,
275,610,505,225,702,493,191,958,080,108,874,853,326,696,081,326,991,216,656,
060,552,442,716,131,136,429,639,579,556,846,857,435,724,143,309,168,911,831,
477,576,196,281,670,547,446,144,118,365,131,012,771,539,915,910,582,433,334,
454,311,921,889,311,031,966,923,312,301,732,720,466,179,949,969,044,257,945,
471,319,651,522,547,632,412,092,295,741,315,834,814,114,981,602,717,517,670,
686,693,581,224,243,855,370,578,668,626,000,406,015,840,367,851,363,561,365,
840,704,510,335,545,375,460,156,858,887,843,061,787,608,805,877,996,023,779,
853,184,679,488,691,117,291,064,772,281,762,231,565,033,042,001,588,324,933,
293,945,721,825,762,689,151,155,802,287,315,690,571,919,266,202,818,047,456,
580,536,797,312,537,474,791,654,027,940,667,447,372,890,587,216,917,203,376,
753,539,154,940,342,054,098,157,311,136,279,396,393,799,920,314,674,103,739,
389,984,591,279,643,693,299,952,472,199,005,811,373,063,044,605,343,896,486,
245,145,871,074,035,191,707,778,555,049,459,471,428,301,836,436,169,466,719,
387,421,449,632,999,403,479,430,597,357,036,276,396,572,381,532,567,127,269,
451,230,977,398,122,890,786,767,566,597,467,342,914,019,237,312,986,331,123,
055,395,216,667,100,188,048,718,925,869,690,263,032,421,358,252,238,204,258,
751,040,675,380,511,820,629,420,368,865,605,632,826,720,715,783,933,468,652,
510,136,666,519,132,844,459,811,132,775,567,484,665,393,897,227,167,928,041,
286,187,423,951,618,749,075,195,620,752,021,587,174,966,279,919,690,508,880,
759,108,728,201,392,748,843,930,165,535,313,659,806,988,613,395,568,680,368,
407,780,150,220,564,532,794,101,487,938,378,380,760,818,133,649,743,094,124,
018,709,563,450,238,014,923,262,029,214,809,862,982,882,664,032,200,352,191,
684,523,969,788,209,043,128,161,978,684,105,178,074,239,445,976,804,181,014,
566,896,495,124,990,314,296,302,457,395,271,341,226,380,592,340,264,969,239,
792,406,209,175,664,265,995,370,320,192,810,331,820,189,836,102,134,152,790,
728,376,698,305,010,931,421,995,313,615,464,160,132,573,880,157,957,071,984,
506,392,986,009,587,559,261,204,953,905,528,574,348,110,844,996,436,090,167,
325,817,133,208,105,434,391,364,570,377,425,393,726,289,197,862,299,997,679,
923,667,299,503,802,548,378,543,362,398,280,613,295,158,262,278,484,984,175,
521,630,065,937,971,536,712,901,723,803,984,154,168,170,598,033,162,703,887,
656,139,159,945,206,087,071,255,679,656,588,340,546,808,637,363,139,968,942,
867,762,350,817,344,119,312,725,308,930,971,185,343,713,028,038,307,299,654,
613,946,715,179,507,375,818,036,469,936,919,596,586,767,371,953,199,549,936,
063,251,401,885,469,402,427,154,989,786,776,593,865,318,090,262,547,132,048,
025,688,237,541,382,989,477,078,861,445,763,264,046,879,380,269,356,247,912,
953,618,415,545,863,494,203,293,282,060,577,776,557,705,377,627,306,840,287,
990,054,050,845,563,232,548,558,552,009,920,227,732,014,857,856,824,880,292,
831,299,025,003,123,633,428,852,401,049,036,193,231,461,679,965,872,182,459,
517,481,909,918,041,166,640,143,559,853,110,453,152,505,074,716,632,769,394,
981,598,265,369,812,924,412,059,495,696,130,580,939,445,933,117,560,077,658,
614,518,009,240,109,955,957,433,714,281,066,441,675,106,424,629,195,537,128,
326,690,318,304,896,249,948,547,436,274,387,415,894,472,991,397,792,433,252,
755,515,830,053,457,972,422,371,943,894,375,250,061,997,873,045,813,904,892,
001,173,278,145,253,696,004,118,747,576,464,892,338,924,265,788,102,099,403,
133,898,601,329,687,078,904,722,369,835,586,563,689,172,694,758,157,061,686,
836,304,748,520,599,858,387,189,091,667,882,767,086,447,493,296,940,237,461,
100,350,360,603,497,342,665,298,782,821,352,843,647,923,778,618,648,795,452,
256,807,607,548,744,426,858,370,421,226,820,311,438,447,207,767,106,914,954,
183,423,200,791,382,268,441,478,218,988,575,285,293,295,118,348,435,406,701,
083,545,006,842,909,501,681,202,287,931,778,929,917,633,280,796,652,671,134,
208,883,789,069,531,512,287,023,304,438,615,873,595,522,277,904,138,326,450,
911,057,993,601,405,041,603,685,234,862,285,405,379,866,461,005,430,005,648,
343,660,533,388,527,544,686,773,744,684,931,741,209,792,977,671,439,938,178,
557,695,233,452,765,015,761,850,911,983,514,075,336,043,620,543,489,991,973,
743,361,393,463,241,451,452,250,711,513,441,549,980,427,515,636,935,867,866,
442,507,405,987,247,133,567,658,727,187,028,743,886,704,859,599,796,324,719,
229,615,805,462,148,498,886,924,401,907,917,600,810,988,392,556,680,207,252,
080,482,499,074,171,887,219,908,923,721,390,945,647,094,307,735,920,598,704,
130,577,603,294,824,464,272,831,093,621,783,051,776,040,744,957,019,722,969,
423,650,532,611,282,600,229,842,687,698,712,414,476,091,634,054,278,890,322,
434,761,649,986,639,035,116,334,952,152,573,092,039,303,230,897,139,414,575,
497,932,029,184,937,486,644,529,428,676,819,405,878,870,799,462,349,589,601,
025,622,437,326,674,024,552,776,415,689,398,851,964,297,178,829,263,201,502,
140,036,881,995,897,634,770,898,653,641,615,793,805,443,063,842,240,480,942,
570,392,914,124,820,145,516,622,740,842,450,459,601,613,913,148,965,703,070,
582,655,804,300,202,284,558,626,431,173,911,901,987,409,783,207,003,036,033,
591,217,705,554,660,526,824,158,561,354,134,210,073,259,317,680,459,763,603,
255,964,676,338,752,706,960,035,025,144,280,503,562,234,925,106,153,793,918,
756,956,726,959,767,690,327,149,797,615,658,731,620,819,891,974,240,985,192,
537,741,421,503,173,479,106,565,557,476,071,295,771,367,416,881,539,475,763,
378,708,119,606,744,741,159,633,284,053,508,579,035,482,010,053,413,351,758,
420,396,891,572,989,208,358,275,922,228,011,610,552,203,287,323,301,616,036,
470,710,099,018,754,716,468,901,952,514,003,442,313,250,349,447,881,745,509,
001,088,866,813,346,340,381,185,531,803,676,787,331,095,203,147,734,338,044,
361,225,249,896,709,412,269,055,901,012,381,534,758,434,527,079,547,603,944,
452,494,788,345,260,505,387,408,586,697,010,926,299,345,002,862,054,342,889,
170,016,801,304,709,896,974,637,125,350,073,763,648,247,562,523,103,243,737,
389,854,029,736,669,363,434,361,621,596,921,590,937,028,194,861,983,083,319,
959,046,243,732,211,573,240,965,549,314,101,654,335,017,767,044,608,152,823,
164,925,095,410,217,428,304,153,558,553,107,909,642,845,997,409,316,927,989,
663,060,376,348,050,621,688,492,322,302,151,431,968,467,154,281,726,851,360,
812,070,085,425,542,292,888,702,412,772,160,681,145,438,017,907,415,047,654,
835,938,791,820,673,150,459,774,830,159,169,676,131,342,091,433,694,017,822,
594,424,028,788,158,055,130,753,021,292,192,634,984,471,977,625,823,455,204,
054,615,174,798,923,735,572,591,617,301,449,686,940,314,266,729,272,585,341,
609,795,594,141,612,141,934,017,794,743,858,773,566,492,126,150,372,429,370,
329,050,924,537,166,429,123,281,303,311,837,027,429,646,087,784,092,185,631,
067,305,036,240,614,032,755,701,263,928,628,745,750,089,981,101,133,913,334,
855,264,072,984,352,368,945,283,354,644,930,417,635,379,224,142,433,220,039,
263,882,825,557,812,738,688,866,135,455,258,646,117,825,905,194,003,460,028,
607,912,369,776,103,456,909,926,596,455,232,473,878,736,821,379,185,553,488,
641,631,550,801,916,073,398,234,989,355,019,971,086,731,426,204,520,179,229,
989,706,050,563,553,154,389,464,660,461,760,022,012,735,086,020,931,388,223,
245,406,789,181,065,478,339,903,130,703,026,052,548,472,767,824,785,229,082,
954,627,857,343,026,993,270,181,168,112,004,293,598,619,787,328,152,516,394,
811,166,559,553,736,662,037,349,006,098,675,246,617,097,679,970,780,386,195,
392,947,547,017,438,597,363,694,175,830,737,444,500,781,788,047,781,270,549,
553,096,503,967,096,762,478,063,137,475,618,732,618,374,093,847,688,248,044,
700,455,199,888,610,650,509,337,191,557,588,399,575,158,346,667,900,695,459,
848,757,075,184,115,841,900,868,182,278,216,544,482,778,493,967,303,147,657,
536,671,404,367,848,923,457,635,917,053,590,768,687,093,467,289,993,669,052,
729,048,861,479,824,341,040,606,028,186,234,038,493,226,919,210,888,830,028,
872,624,276,244,889,205,209,234,957,031,626,677,103,470,894,953,583,560,828,
184,506,443,472,604,036,906,837,475,683,787,843,188,197,688,535,081,968,515,
912,638,791,781,983,705,475,067,160,521,310,752,572,927,194,217,108,204,186,
253,634,117,518,429,578,487,247,456,902,217,020,868,135,053,121,098,413,504,
710,438,112,786,695,143,344,606,108,371,971,937,831,021,146,878,153,094,083,
443,197,003,184,726,468,374,014,075,478,732,849,907,238,424,378,259,804,782,
152,791,246,026,021,320,683,786,103,469,654,182,244,182,694,369,255,509,387,
987,203,276,837,612,071,612,448,811,062,808,170,569,734,330,283,189,420,361,
322,664,368,056,905,368,793,064,101,898,415,241,899,225,404,395,443,689,707,
978,291,799,546,307,380,123,130,089,593,721,316,712,425,249,034,844,742,263,
735,235,396,432,164,353,994,695,018,781,138,570,550,407,375,892,895,942,788,
894,899,454,664,244,543,427,895,040,955,652,202,965,992,521,492,922,287,134,
605,013,836,557,128,858,850,847,858,090,697,563,001,218,861,918,099,888,610,
211,989,813,681,435,348,478,379,664,954,782,319,042,535,660,787,709,210,788,
153,066,464,046,511,182,109,267,326,728,789,251,026,534,329,552,979,290,194,
802,604,835,787,694,610,436,927,410,103,586,292,370,909,644,127,326,834,503,
710,768,190,229,416,713,277,877,155,292,086,518,238,591,916,212,080,723,194,
057,147,148,049,088,028,480,740,878,068,673,113,129,950,102,931,771,167,347,
753,199,335,918,566,831,946,310,937,120,452,157,647,244,963,194,576,012,915,
924,893,320,825,928,177,576,979,552,332,083,198,070,245,357,683,610,753,914,
602,629,602,000,530,296,426,752,790,648,940,002,826,380,824,028,372,352,151,
489,636,630,234,288,784,910,579,602,331,358,133,802,871,107,646,689,025,119,
744,277,469,676,719,714,164,617,582,575,322,481,628,591,113,370,571,612,080,
388,356,102,235,674,601,985,607,054,183,273,332,656,908,004,377,939,597,536,
048,687,853,275,047,566,752,265,564,926,974,673,080,525,266,431,851,546,690,
813,043,751,998,448,404,139,963,511,010,418,833,476,820,420,171,580,287,363,
565,524,143,223,164,611,218,105,471,728,748,289,784,697,889,848,159,588,854,
474,198,013,214,277,872,861,576,646,370,688,838,665,746,304,585,668,948,935,
726,926,496,954,488,225,878,475,934,726,161,422,386,287,338,451,033,034,447,
357,075,903,201,596,579,090,530,849,320,616,333,692,564,598,949,130,635,977,
789,986,811,110,516,170,954,669,148,782,434,527,828,662,397,799,494,850,535,
233,313,149,856,376,000,313,075,113,922,063,000,132,902,700,181,715,986,580,
122,744,214,017,968,636,778,503,925,464,557,333,428,773,233,840,828,807,132,
019,575,304,563,608,165,999,531,648,130,717,085,990,487,250,508,549,664,703,
230,194,124,681,822,208,885,375,248,062,806,156,376,635,735,438,427,609,382,
576,440,475,748,832,779,376,669,057,999,059,489,531,821,506,017,905,844,288,
402,519,848,274,776,659,644,625,651,027,598,398,590,722,860,519,043,881,344,
765,220,002,766,426,278,608,799,717,679,118,761,336,016,838,274,147,789,035,
614,078,325,932,654,062,939,415,162,595,247,389,533,632,109,943,192,891,832,
293,086,075,619,426,904,111,266,454,185,432,158,519,361,285,612,999,122,714,
295,585,237,588,195,152,705,652,804,137,404,654,984,274,522,784,635,815,785,
531,755,301,630,650,719,017,952,438,381,168,417,064,256,921,030,402,290,992,
794,123,256,652,475,181,232,142,607,349,358,108,549,012,729,780,486,791,757,
124,743,252,646,025,112,644,268,593,008,680,730,122,781,367,651,002,919,310,
225,148,648,559,364,775,258,660,815,755,737,160,919,415,732,302,383,588,573,
822,354,024,392,928,332,889,587,648,693,199,634,024,971,823,426,815,407,545,
955,899,524,842,377,962,991,598,071,420,361,004,417,211,713,580,204,734,901,
176,649,794,981,498,609,696,913,334,364,603,424,589,017,404,061,559,136,250,
490,842,478,663,585,402,989,462,583,934,223,895,584,211,000,188,549,791,625,
017,890,820,260,905,013,797,072,057,922,144,885,828,314,500,099,650,516,989,
950,974,234,004,363,677,539,202,228,469,949,520,010,480,883,949,524,660,776,
976,445,149,189,130,272,850,039,846,279,668,513,345,104,126,273,850,583,321,
146,663,587,207,800,915,802,545,854,273,333,778,929,687,409,453,945,052,670,
429,375,514,059,020,716,577,629,958,596,072,692,471,622,281,285,372,055,767,
894,587,169,210,899,054,593,584,979,297,420,861,862,676,386,449,595,885,266,
434,827,860,730,886,230,002,282,399,128,846,047,413,123,338,533,253,967,766,
407,689,113,998,564,665,344,604,584,132,704,250,881,973,314,006,463,303,898,
198,397,232,190,120,328,605,446,469,766,019,563,132,588,665,180,511,218,268,
094,108,190,466,846,686,876,534,145,943,461,900,445,963,838,045,594,515,955,
152,619,005,708,972,873,049,032,241,383,771,644,265,839,623,456,344,944,770,
426,175,861,928,678,962,037,013,259,739,372,842,111,959,542,692,376,873,736,
812,107,442,355,937,637,791,679,570,131,326,065,509,845,730,059,001,999,427,
214,616,197,075,448,512,295,509,475,556,106,684,549,727,290,617,427,075,939,
084,488,526,201,563,295,957,779,272,111,017,478,852,678,406,211,908,683,663,
367,653,957,341,384,785,392,586,997,621,269,181,511,892,702,487,501,295,472,
214,927,224,047,813,736,784,552,622,597,319,174,121,182,522,608,647,009,413,
040,957,046,281,341,821,528,496,556,788,387,790,743,006,575,395,243,527,396,
667,124,483,836,440,264,690,581,885,180,776,910,444,105,765,407,839,209,325,
416,661,419,150,780,391,634,172,441,462,239,260,370,002,372,377,547,815,027,
653,814,406,937,700,503,670,630,128,239,477,110,250,759,371,003,272,807,405,
775,321,269,709,589,636,807,794,338,677,028,384,877,577,175,673,734,124,525,
791,976,259,871,912,105,898,206,940,218,608,964,953,924,846,505,055,523,946,
506,506,033,257,096,525,106,974,833,137,751,489,674,677,884,788,634,959,830,
992,871,280,685,590,187,946,624,883,179,176,429,235,338,620,697,439,066,209,
469,830,863,091,801,074,452,748,879,250,460,802,574,921,781,224,646,921,085,
705,499,990,742,521,583,847,911,552,352,304,125,686,606,557,683,155,157,699,
177,491,343,044,709,385,271,538,989,155,314,648,568,112,487,345,928,605,380,
622,776,685,132,096,226,114,952,723,913,178,447,644,892,632,848,793,976,276,
075,483,186,496,930,980,946,815,691,733,622,967,085,121,435,126,431,804,374,
986,238,513,896,887,161,578,816,807,044,201,089,309,696,720,702,484,367,773,
992,791,382,865,809,977,242,689,950,584,488,204,692,226,794,390,184,874,407,
902,036,381,872,321,260,084,004,877,065,491,603,968,157,480,770,610,308,102,
428,459,801,438,786,142,914,400,801,983,960,609,109,808,036,946,319,371,020,
959,769,548,258,721,617,318,641,670,490,096,974,676,410,029,550,152,508,290,
832,048,758,267,126,946,632,538,084,598,072,789,626,736,641,940,781,532,841,
838,220,878,507,490,702,483,632,143,072,676,807,275,597,902,875,738,440,843,
883,471,644,429,283,152,626,686,648,481,244,283,313,999,117,302,490,968,463,
118,637,402,607,706,633,267,949,882,841,798,797,494,912,985,026,806,785,107,
108,919,928,726,702,192,959,015,077,599,778,725,643,562,655,099,205,982,338,
502,487,977,182,069,209,977,478,908,588,012,527,559,884,923,553,602,363,170,
264,601,115,974,647,295,711,598,164,081,932,886,191,217,859,268,547,055,939,
681,859,733,263,636,904,246,782,168,871,334,358,206,238,878,968,749,200,210,
862,758,728,735,489,134,816,996,757,547,576,934,053,219,000,475,894,380,557,
195,424,104,864,865,176,444,565,401,344,538,441,571,571,786,959,493,924,338,
491,094,792,452,210,035,715,014,136,064,543,074,083,832,111,541,794,849,484,
925,737,567,454,560,168,113,406,984,560,135,232,809,827,943,331,662,355,441,
809,454,902,238,066,152,287,345,102,443,966,740,965,262,585,308,862,793,187,
321,389,725,402,649,858,994,628,747,051,211,943,817,692,156,129,868,334,450,
358,547,868,110,372,660,422,891,610,535,977,510,754,503,425,711,546,045,998,
495,163,025,391,846,795,337,864,004,001,368,291,392,803,769,465,445,281,558,
617,357,346,436,267,419,487,452,325,153,454,355,254,771,759,568,339,777,503,
032,962,262,891,082,702,616,876,349,914,144,363,378,934,397,736,653,303,761,
162,545,650,444,017,600,457,298,062,468,343,732,587,630,140,548,810,846,417,
029,988,680,936,786,946,047,659,975,058,504,444,457,237,139,324,584,566,041,
510,934,501,591,915,050,446,136,334,722,639,864,755,707,340,499,615,604,199,
560,973,170,376,876,835,857,199,931,452,465,325,112,758,411,184,693,080,355,
268,330,869,068,420,834,948,112,091,807,563,356,401,154,074,884,389,280,377,
667,325,581,284,811,077,106,977,432,420,533,465,302,360,925,897,042,085,247,
367,982,877,504,135,003,809,542,433,515,132,962,899,367,828,513,372,957,138,
465,302,082,699,320,713,068,871,909,091,441,994,221,932,376,529,352,108,873,
534,519,949,103,935,062,718,673,142,477,091,628,035,444,392,609,231,961,717,
112,004,266,290,486,976,327,160,208,955,733,866,078,456,171,977,400,894,653,
423,036,491,003,017,239,250,035,046,949,523,112,466,734,553,284,138,621,949,
617,864,109,872,274,533,110,523,313,847,469,194,294,243,936,200,289,986,841,
947,015,790,794,384,122,901,209,034,976,169,950,709,701,637,846,709,618,226,
307,380,498,755,939,278,566,714,346,089,711,749,397,515,855,285,512,204,163,
271,172,473,969,085,672,357,174,852,555,874,630,693,266,315,265,823,538,180,
149,352,116,760,428,104,579,293,126,401,146,656,485,592,864,263,116,243,094,
811,218,754,830,748,941,826,450,192,208,469,027,741,424,278,156,533,399,194,
098,706,117,166,916,874,243,789,571,101,439,778,395,778,970,182,854,339,545,
310,602,805,943,048,207,987,214,780,244,647,821,082,449,092,398,520,680,631,
042,030,480,711,831,952,833,367,136,111,354,509,697,964,832,720,000,623,560,
671,679,939,219,722,630,676,612,921,106,308,135,531,371,783,489,920,381,674,
180,282,738,331,436,608,439,445,190,729,039,155,223,572,503,901,938,332,073,
656,442,688,344,665,916,223,378,107,886,984,531,941,278,397,220,194,798,993,
594,800,566,659,069,160,246,532,865,157,487,123,939,541,278,283,562,333,474,
375,959,282,540,387,767,280,044,389,604,786,873,826,678,281,296,189,607,599,
245,674,418,112,323,952,324,326,405,667,900,730,208,779,825,188,328,952,766,
496,646,194,150,654,809,768,722,560,514,171,632,988,723,681,939,407,621,577,
076,145,389,530,041,035,060,161,511,597,387,264,717,967,742,118,855,252,969,
693,614,569,020,170,460,523,507,225,396,676,154,578,494,942,515,341,754,108,
995,843,227,748,014,523,617,883,814,658,985,608,112,623,737,119,752,035,263,
304,582,420,339,869,772,372,946,937,371,486,492,660,172,235,366,771,172,819,
915,386,885,566,703,741,610,483,238,948,522,974,696,335,256,535,526,670,721,
231,987,309,513,034,895,882,759,984,711,372,643,046,623,855,526,125,878,292,
007,389,097,783,258,711,457,231,059,158,540,716,498,359,657,065,804,463,946,
408,707,343,401,275,961,946,582,536,804,779,860,658,926,859,344,831,192,440,
445,259,025,284,001,763,144,865,677,168,816,639,459,955,740,122,347,547,259,
267,511,749,398,436,419,058,729,514,947,176,646,808,983,929,091,189,661,705,
592,751,690,349,464,104,247,079,560,051,296,706,242,669,372,465,381,442,186,
377,628,598,702,584,926,493,997,907,751,171,786,159,110,258,069,050,040,953,
266,118,813,791,390,472,631,745,404,675,435,434,177,186,471,632,253,224,983,
392,160,808,169,001,704,234,267,565,533,606,978,989,087,175,301,555,855,130,
254,911,715,474,655,988,851,687,185,746,100,052,158,351,527,208,938,329,197,
646,058,509,433,967,104,947,535,315,819,601,513,934,025,656,400,581,166,733,
472,768,667,368,030,154,272,424,458,127,580,796,412,730,190,654,309,233,916,
784,540,640,936,165,418,945,113,063,491,160,726,068,024,861,797,941,288,334,
084,496,037,875,805,673,703,263,433,565,677,085,871,946,042,795,086,857,140,
803,201,521,706,542,730,260,931,265,392,962,008,907,024,158,391,876,061,442,
520,133,996,445,881,954,146,474,427,612,058,754,020,214,712,793,838,525,563,
781,823,806,083,075,801,820,115,122,752,355,443,986,478,757,631,858,884,627,
085,470,130,986,276,113,829,704,937,195,938,776,570,226,565,230,027,834,743,
886,128,748,305,057,667,400,686,738,299,114,965,664,715,760,702,701,339,051,
156,034,040,531,472,496,172,414,309,166,946,235,162,859,963,979,419,840,947,
243,092,261,772,291,704,394,458,516,349,824,763,398,514,852,038,952,353,866,
947,274,896,957,759,079,255,916,935,333,103,445,485,300,585,840,461,525,289,
728,982,216,992,391,581,666,608,076,113,991,177,411,161,716,620,527,788,076,
994,231,847,784,370,628,445,510,766,104,737,240,832,947,204,611,415,434,441,
699,010,517,539,218,897,475,712,756,645,957,301,588,539,513,093,741,092,072,
366,055,766,223,400,241,651,158,645,603,502,616,874,504,894,901,750,318,936,
559,006,399,835,929,653,073,748,030,493,807,154,965,745,213,069,954,619,304,
792,041,677,631,067,221,830,031,700,058,695,249,474,599,388,804,344,052,906,
903,101,295,469,782,685,029,646,537,216,421,094,082,836,248,104,760,864,250,
701,768,919,419,829,480,944,563,769,389,201,558,431,885,003,922,732,970,241,
292,351,263,922,719,839,140,627,135,510,017,829,854,415,198,413,308,938,531,
178,571,436,094,458,832,591,739,677,071,605,856,340,255,263,079,130,365,771,
607,856,261,294,213,942,524,095,228,008,339,630,321,367,242,205,123,230,681,
205,332,274,418,754,396,805,903,796,542,621,540,448,766,874,446,178,883,567,
838,412,078,849,247,837,428,077,000,451,557,658,805,961,709,992,481,056,643,
061,191,264,202,728,806,869,021,236,721,872,569,912,499,467,388,403,163,746,
519,548,890,718,050,449,629,333,007,629,169,693,922,014,183,499,277,056,887,
908,883,680,309,327,515,181,835,387,406,012,142,529,863,135,851,026,762,562,
958,455,876,280,162,854,147,324,662,320,013,358,349,665,639,576,837,575,027,
876,102,764,479,857,637,161,484,150,165,597,578,402,610,127,498,215,509,591,
911,215,181,829,478,718,290,643,612,920,957,817,353,238,558,939,556,500,344,
350,494,941,241,237,117,622,608,461,872,726,216,197,212,246,544,824,649,256,
244,828,504,126,454,114,878,224,304,971,134,394,712,544,963,772,306,794,711,
513,235,884,581,644,972,544,384,571,266,612,349,083,003,071,044,204,850,090,
725,086,031,161,261,502,452,620,632,770,395,182,449,166,548,793,513,163,416,
939,230,647,296,351,211,705,650,480,927,528,674,012,132,166,337,081,493,059,
068,432,587,214,987,200,802,707,496,380,265,193,021,970,456,189,184,375,864,
923,106,857,424,982,827,218,262,149,177,497,971,312,914,743,601,147,794,136,
074,104,235,293,536,550,254,473,554,840,540,403,818,592,352,516,039,295,988,
420,293,280,732,529,100,446,999,014,123,148,823,709,176,145,693,807,261,811,
195,263,149,426,180,967,869,308,212,996,343,919,492,353,725,502,808,174,476,
494,517,840,373,914,033,040,351,423,078,746,170,807,504,646,850,697,284,736,
741,130,291,488,130,109,837,996,554,477,673,379,160,985,238,757,406,716,873,
689,238,304,621,343,957,109,922,162,679,977,343,425,678,975,790,440,579,125,
416,969,842,152,170,531,367,013,406,173,598,862,446,536,626,816,721,994,351,
215,285,356,193,017,236,660,982,898,172,207,520,614,420,888,355,903,900,872,
700,874,958,469,751,123,269,600,499,140,088,509,793,201,328,254,875,487,964,
423,707,398,017,755,830,863,319,456,354,949,890,392,211,928,455,835,518,317,
667,221,067,396,290,652,942,467,323,058,644,788,844,943,842,906,629,410,538,
880,260,168,843,885,753,979,883,397,077,090,543,817,434,195,514,047,987,271,
739,632,363,987,274,988,760,864,152,741,710,114,071,644,627,098,726,649,080,
603,818,147,983,889,563,928,526,073,934,164,969,691,596,933,083,214,165,014,
757,151,111,384,852,507,570,530,402,094,370,451,702,273,206,283,005,372,053,
235,291,274,036,681,440,803,450,921,891,055,348,622,852,716,515,858,602,381,
127,229,766,972,398,186,473,787,398,045,883,848,031,747,123,504,364,274,877,
785,195,059,585,645,596,656,949,691,955,795,884,676,298,369,746,300,723,277,
422,238,215,062,478,972,784,670,529,499,654,492,411,732,982,292,332,343,603,
104,796,922,582,085,887,312,826,266,144,700,806,138,503,513,335,679,145,930,
118,542,919,554,514,613,984,769,767,494,886,193,048,385,622,287,801,684,564,
242,023,948,671,032,140,435,936,002,121,617,906,651,161,748,416,882,769,334,
172,169,131,951,746,230,343,631,166,006,050,388,256,311,968,910,076,095,958,
980,035,695,762,501,405,992,841,769,432,746,312,500,646,544,691,992,484,220,
772,954,311,743,866,926,387,850,497,992,834,856,916,465,636,158,071,057,374,
657,735,941,033,026,730,376,158,649,790,336,943,855,840,383,308,418,835,591,
875,947,505,752,221,723,245,982,060,918,734,511,875,727,004,240,376,459,067,
070,910,252,903,309,818,772,810,555,711,665,665,980,010,031,419,874,986,466,
375,097,526,189,004,931,224,534,245,962,221,188,763,265,049,656,237,256,688,
615,383,614,770,434,469,916,900,699,055,215,724,335,776,397,377,797,552,806,
737,763,381,141,328,579,479,278,212,808,693,165,055,417,795,370,299,734,251,
988,846,174,389,641,598,375,428,346,694,558,254,952,395,486,028,701,681,696,
110,262,987,782,352,310,644,779,030,213,954,265,694,878,299,847,137,843,792,
191,743,747,527,111,460,748,067,821,976,493,824,067,436,104,940,159,225,605,
942,390,419,654,627,074,906,087,381,015,696,430,560,161,538,262,699,111,366,
151,492,262,310,827,591,957,484,403,352,794,923,300,428,081,566,084,879,785,
884,214,169,368,609,718,338,177,506,667,290,169,346,823,842,103,910,801,456,
136,182,652,791,705,846,617,821,991,854,566,485,429,290,605,278,577,774,491,
676,272,126,710,140,304,119,732,669,699,914,184,044,068,980,085,394,214,860,
174,770,527,983,061,909,052,287,946,889,278,982,404,102,378,886,234,757,795,
132,601,765,607,905,597,608,565,834,208,746,135,661,465,511,016,190,607,993,
915,192,028,561,171,960,051,419,214,469,939,889,768,254,093,662,282,034,105,
717,093,119,623,676,460,241,077,278,228,894,737,915,930,887,539,092,575,782,
502,364,616,935,248,322,077,331,136,752,629,652,237,008,879,497,295,601,641,
767,494,664,579,940,435,533,091,534,159,590,874,008,788,728,602,055,828,416,
711,231,832,627,151,809,267,188,664,117,837,844,441,121,992,848,022,210,347,
883,042,410,786,883,758,773,384,110,224,942,178,948,590,509,577,872,345,767,
706,565,223,967,092,554,190,034,231,739,644,003,560,455,412,994,003,258,057,
478,407,763,445,986,705,544,936,574,488,636,478,826,479,491,001,159,893,057,
330,334,964,666,538,887,255,878,990,647,052,116,396,426,458,821,327,300,202,
795,394,493,588,175,822,550,553,717,045,737,884,487,566,974,153,895,980,305,
647,687,171,299,112,804,120,301,921,992,224,342,170,745,139,992,197,172,821,
689,498,379,097,603,054,557,197,077,005,535,680,209,291,104,547,457,207,833,
787,329,910,826,260,910,316,137,275,443,838,328,547,787,647,697,228,496,849,
744,670,201,190,993,607,140,445,272,579,127,038,967,460,048,478,557,150,499,
953,352,109,070,079,459,196,087,834,056,861,926,877,175,861,787,286,526,076,
852,569,162,507,174,223,135,426,007,311,182,309,444,010,026,713,188,849,788,
589,123,587,770,298,603,730,953,073,475,510,256,068,593,669,211,381,502,799,
269,585,618,177,485,078,270,182,880,864,239,611,993,056,965,396,569,220,909,
975,150,869,993,943,799,969,502,400,787,303,807,300,591,309,525,609,663,574,
575,468,023,951,689,880,230,429,721,371,514,803,772,847,420,969,779,930,408,
585,233,514,692,965,852,763,419,264,174,984,772,122,190,564,644,786,418,994,
999,065,664,705,741,630,844,133,936,278,445,014,867,511,979,379,934,220,305,
094,106,465,709,748,819,838,894,672,630,351,166,623,102,617,398,412,046,258,
107,763,819,315,297,216,252,116,090,227,808,726,636,940,602,271,226,230,333,
676,428,105,575,016,274,759,830,699,079,277,187,781,917,924,140,553,913,367,
796,383,261,153,704,715,160,599,812,399,626,486,851,707,091,568,891,389,267,
368,220,080,215,316,347,393,794,943,463,072,617,708,570,864,610,918,749,845,
699,880,887,122,634,569,977,964,713,847,494,562,093,549,005,470,224,275,160,
289,628,920,198,599,880,960,807,653,267,759,538,188,119,582,342,926,362,570,
473,040,464,259,415,582,374,265,547,578,604,918,883,141,635,367,138,878,614,
295,390,763,958,293,474,297,522,561,208,460,760,882,615,697,456,493,633,567,
893,883,123,710,121,805,473,527,497,444,856,718,877,945,798,577,038,823,977,
819,670,812,092,747,983,654,563,546,676,701,370,042,012,275,299,241,427,655,
734,778,796,787,723,122,665,549,681,801,750,673,113,019,639,926,977,683,191,
570,154,060,672,821,325,544,998,249,690,287,496,874,573,080,345,575,334,671,
216,899,386,193,096,405,424,623,307,521,711,526,320,431,108,265,237,613,083,
156,869,966,976,212,820,444,491,015,012,070,279,878,946,330,455,407,154,546,
905,061,369,994,024,934,289,043,300,006,245,826,417,788,024,871,311,376,124,
600,673,641,369,115,731,279,418,316,749,188,940,067,266,755,129,720,068,078,
036,918,781,852,153,447,253,969,700,545,521,512,306,179,186,166,166,034,439,
434,222,572,812,655,165,635,227,776,283,921,666,785,347,997,063,774,886,781,
964,438,995,938,437,186,654,617,394,973,882,205,266,339,171,692,637,462,032,
407,705,510,102,163,715,383,653,251,386,575,296,207,028,187,553,212,590,517,
433,384,828,975,983,872,841,447,567,093,081,152,781,826,961,974,744,785,961,
499,834,826,701,963,956,523,555,693,589,095,947,369,231,912,078,995,447,424,
143,309,901,758,978,634,881,737,407,128,984,493,533,284,725,413,241,424,085,
714,430,497,899,627,628,752,712,779,515,040,319,795,260,333,645,009,998,222,
070,514,641,694,725,725,444,250,532,229,433,413,948,280,380,906,122,804,345,
293,004,286,038,567,568,758,228,706,292,122,237,931,038,682,427,035,625,958,
186,920,116,584,548,365,987,026,963,146,564,237,555,651,851,396,901,086,421,
277,233,602,038,914,863,379,936,267,036,139,888,108,201,525,376,028,553,822,
041,315,822,324,335,065,100,018,720,009,876,567,084,882,849,900,471,302,015,
960,624,316,558,209,182,440,360,917,262,613,603,830,857,922,654,597,104,987,
048,585,631,859,207,541,047,060,505,026,413,653,004,350,237,307,941,758,984,
362,036,734,485,374,118,385,584,938,997,333,122,542,570,112,258,455,700,609,
470,904,139,225,033,350,583,788,669,027,908,754,160,725,921,493,034,273,813,
613,216,247,541,746,111,769,652,636,373,300,953,139,046,106,378,732,835,492,
593,934,766,748,455,388,940,383,501,162,079,445,230,481,088,472,575,515,409,
717,253,649,142,115,420,818,849,452,148,353,204,617,193,683,340,381,355,091,
425,264,479,850,279,615,731,243,049,027,336,353,761,765,609,976,720,812,716,
576,857,491,910,469,504,704,223,549,816,333,476,240,337,314,335,089,828,242,
653,824,685,503,200,491,911,154,068,864,090,831,290,942,773,620,835,444,288,
795,763,130,505,112,967,055,769,521,039,383,091,971,151,351,626,812,805,986,
243,760,355,246,416,729,768,297,179,392,137,481,871,192,115,341,353,880,196,
576,255,402,651,322,607,732,300,235,815,121,844,210,922,172,922,129,913,018,
740,468,714,499,560,788,413,439,757,024,333,392,755,022,121,014,363,566,509,
205,688,025,677,428,660,803,780,487,739,792,131,590,598,968,162,441,703,967,
271,861,555,113,331,964,527,592,845,722,993,082,585,407,502,141,059,667,706,
717,445,850,765,058,145,021,335,308,282,048,851,519,927,345,951,978,366,500,
284,339,924,509,959,187,630,415,364,217,860,438,490,327,539,875,126,650,770,
677,324,158,294,741,222,181,108,052,355,393,969,042,612,385,521,787,689,706,
664,316,610,247,191,363,557,354,497,209,644,315,203,892,197,541,686,691,327,
624,577,682,504,902,895,086,725,210,567,545,885,228,269,753,421,686,260,196,
090,418,977,101,985,894,371,629,743,282,355,374,716,855,071,503,175,499,542,
875,315,370,492,240,084,351,265,074,485,981,173,716,036,519,214,403,914,419,
618,824,238,798,725,406,215,263,513,786,704,343,495,496,383,950,777,256,493,
844,120,814,116,688,310,245,654,476,319,525,128,118,222,448,956,479,239,426,
758,883,858,535,421,797,096,505,300,091,749,434,245,895,731,736,383,259,185,
561,417,441,838,554,477,639,576,177,450,135,494,819,663,147,462,253,323,971,
568,732,374,618,126,277,800,768,378,884,257,407,658,972,092,688,823,368,735,
997,725,114,023,102,922,320,152,977,288,003,503,360,726,196,313,466,122,314,
009,232,661,377,265,338,393,093,502,466,591,525,988,054,882,240,857,238,589,
544,541,221,667,572,900,899,916,205,983,726,371,341,862,759,145,704,115,595,
534,789,645,524,651,590,977,148,775,743,309,791,821,456,752,706,344,733,847,
745,869,471,556,764,056,327,544,432,198,919,252,898,464,696,929,509,300,028,
903,090,023,837,746,380,311,599,102,753,926,308,836,132,498,165,312,330,495,
461,163,355,417,125,224,790,802,718,493,616,340,461,364,787,685,027,320,201,
168,766,173,094,468,827,982,379,767,218,561,330,579,742,772,777,354,625,284,
334,824,659,414,596,644,640,404,632,037,697,352,304,905,405,571,051,947,842,
950,759,830,996,720,513,437,945,753,216,476,145,958,256,359,059,776,793,356,
164,091,978,758,174,741,095,609,285,437,966,024,270,897,593,874,250,489,146,
281,930,068,138,339,371,183,722,153,120,886,086,075,542,301,226,953,698,157,
953,023,545,504,686,226,325,768,096,917,315,633,907,448,654,464,183,044,389,
016,002,076,895,314,545,648,391,253,046,761,781,380,375,109,246,719,434,963,
490,534,399,781,774,268,960,103,653,106,969,245,062,305,173,618,607,234,803,
506,848,784,025,679,939,643,258,941,145,058,834,564,851,171,959,410,404,589,
199,610,084,610,887,144,613,219,530,958,424,150,079,799,621,485,887,323,707,
250,161,998,325,415,498,434,782,100,565,389,384,691,589,104,740,837,572,443,
485,776,112,648,819,394,551,923,879,419,163,132,680,436,882,386,328,822,146,
995,147,579,722,252,194,974,336,506,126,141,272,853,352,267,395,768,325,910,
191,815,673,647,712,615,733,744,604,202,920,920,069,324,321,957,065,832,466,
366,039,000,469,748,208,658,336,157,091,165,629,240,812,990,484,358,627,148,
833,441,117,125,586,831,662,606,973,905,181,914,268,295,019,172,298,881,703,
756,714,747,219,417,404,251,524,648,684,789,385,162,110,062,413,058,512,911,
202,838,512,991,290,165,896,721,511,759,858,464,083,356,880,114,978,120,292,
820,716,282,140,050,570,205,433,253,269,859,648,521,480,245,338,618,577,695,
432,705,024,285,537,175,358,647,929,752,958,465,824,703,747,944,883,919,710,
667,577,336,930,279,386,254,807,581,140,926,577,549,815,494,601,977,487,576,
213,139,206,570,942,989,495,078,138,402,790,732,309,388,386,136,954,120,457,
709,998,643,688,677,030,390,649,761,062,974,660,693,393,452,790,522,830,057,
198,881,289,648,022,002,905,608,934,099,117,894,377,337,734,118,814,113,012,
309,991,190,057,038,294,737,735,265,896,414,602,674,152,839,572,528,931,259,
973,499,776,879,623,719,272,441,536,599,294,395,380,217,043,115,653,835,687,
375,703,703,126,768,982,434,748,624,650,405,130,182,382,938,451,161,980,251,
859,842,371,828,519,746,670,932,735,112,718,161,371,943,681,472,120,942,727,
835,431,059,547,620,854,054,387,589,113,351,236,734,385,702,897,168,677,978,
664,526,546,942,762,973,725,291,586,670,291,492,432,044,864,805,838,510,269,
984,850,304,292,390,723,946,910,846,915,364,856,346,027,407,808,535,527,748,
009,711,704,342,421,867,484,586,800,351,787,306,987,570,604,526,463,845,544,
034,684,029,649,793,956,227,165,474,972,996,565,916,892,846,546,585,445,774,
514,138,792,278,079,424,520,768,827,904,662,362,427,035,970,894,225,969,400,
739,392,441,929,273,624,757,420,196,650,080,380,213,506,714,569,193,695,080,
114,608,098,858,077,634,237,052,468,192,690,275,472,807,138,223,426,918,412,
374,322,405,078,501,392,876,871,034,060,000,241,690,886,532,085,968,782,855,
154,213,009,469,500,976,899,221,105,204,846,305,894,539,137,291,427,251,960,
154,265,139,894,092,968,055,015,515,069,382,714,211,960,105,476,228,189,258,
419,345,169,132,036,366,423,126,649,857,399,462,136,102,862,563,405,664,097,
367,331,998,134,489,781,163,398,164,865,208,558,548,900,200,325,563,320,771,
138,232,220,478,902,439,448,200,242,074,914,614,383,904,568,764,968,331,280,
462,490,844,295,445,818,939,098,129,034,111,446,265,962,359,410,217,705,697,
876,844,846,130,593,495,890,682,217,534,920,711,820,584,203,129,699,427,983,
566,104,127,536,815,894,127,843,425,592,338,299,290,169,319,090,617,188,391,
534,533,999,587,129,276,821,842,881,224,821,679,000,355,957,226,602,405,099,
955,728,678,878,522,713,502,797,789,591,661,428,069,074,928,219,412,160,436,
251,723,117,831,812,438,238,156,265,229,330,205,703,014,850,309,488,440,265,
884,200,316,314,147,895,160,518,367,181,507,822,572,444,516,726,365,164,358,
071,279,677,759,877,783,823,523,656,351,397,758,002,308,241,254,313,134,227,
555,887,308,697,194,113,854,413,851,804,026,469,063,418,292,860,262,157,423,
077,382,700,124,629,387,789,606,583,187,616,555,160,162,119,654,887,409,432,
279,312,977,082,253,292,884,986,917,672,702,449,110,052,040,544,200,640,035,
992,298,932,458,528,692,784,131,677,571,674,837,997,187,393,771,871,867,097,
711,419,961,898,190,456,242,598,820,094,957,274,095,874,028,829,076,492,219,
348,556,488,473,853,314,398,269,307,249,539,537,487,684,548,735,482,563,663,
393,830,703,021,148,393,078,671,587,801,759,664,927,771,763,993,847,135,876,
286,403,179,212,361,674,604,326,891,464,315,864,769,287,443,979,936,013,222,
228,424,199,092,984,482,241,611,987,980,483,537,307,643,389,157,976,372,166,
589,631,446,386,009,334,253,297,745,000,776,376,149,854,513,441,051,432,200,
692,112,755,491,889,005,721,303,777,882,093,364,447,592,564,788,057,388,185,
077,643,772,415,164,017,809,436,406,484,323,994,013,361,684,683,960,506,323,
053,878,557,892,905,945,235,029,206,839,753,345,528,876,404,472,218,135,282,
799,619,863,071,275,367,791,273,882,005,602,211,105,237,175,133,620,890,466,
546,830,981,333,656,264,219,974,939,547,310,549,245,873,483,381,419,383,111,
312,350,685,552,009,436,673,621,740,479,713,900,949,567,622,444,608,908,805,
500,402,169,561,923,204,777,799,373,675,442,764,950,678,471,865,129,557,468,
343,981,576,643,730,184,889,145,655,343,614,734,912,759,263,644,585,245,500,
359,079,056,586,048,634,549,046,923,189,510,389,545,354,731,480,959,037,349,
791,534,759,053,321,873,082,373,420,540,616,680,811,244,885,461,052,294,863,
690,155,819,144,508,415,616,281,665,936,301,070,976,460,291,758,140,307,251,
135,985,194,257,471,277,819,448,374,016,941,643,513,528,471,020,259,457,055,
323,616,045,528,489,653,187,355,659,926,296,850,891,313,981,179,271,666,775,
023,069,347,273,194,718,789,901,119,386,217,338,215,183,563,311,007,945,290,
852,882,064,163,041,143,390,308,515,393,288,859,606,357,691,207,188,864,134,
485,545,503,858,399,532,560,260,578,720,299,045,548,073,634,105,992,173,876,
840,271,042,819,921,680,264,633,537,279,237,918,848,415,299,338,209,833,955,
103,451,269,791,287,334,624,074,988,295,561,454,736,053,356,397,455,272,234,
619,515,763,150,081,806,072,035,691,519,845,073,783,744,647,795,333,375,169,
369,153,151,216,093,486,070,683,586,509,668,500,859,203,509,596,581,922,799,
056,713,806,266,181,295,004,742,287,419,797,432,671,760,687,148,646,800,269,
996,213,322,785,880,770,129,864,034,458,259,866,527,540,965,645,704,706,402,
332,323,392,205,398,904,008,715,665,906,877,459,722,457,364,922,308,522,170,
289,077,562,228,976,882,052,864,352,395,517,795,210,103,356,162,701,528,717,
994,385,970,835,624,936,360,720,864,970,985,766,052,538,061,305,663,993,704,
835,785,391,086,494,466,819,019,888,849,492,051,816,747,927,691,534,863,018,
704,972,127,129,947,669,340,611,181,343,682,066,426,085,650,939,611,886,700,
232,184,395,319,667,541,616,946,743,450,565,216,299,048,360,306,566,946,381,
294,003,407,892,825,969,068,327,778,583,308,747,751,675,804,019,571,364,938,
086,791,897,352,015,703,998,508,497,433,747,419,684,020,238,015,483,599,826,
951,258,390,517,260,082,090,495,205,364,349,196,097,400,550,896,642,500,930,
521,461,207,757,986,992,170,999,592,392,101,451,352,799,381,702,369,015,366,
927,706,580,590,426,454,361,117,072,886,855,317,522,675,845,703,977,588,807,
101,644,549,726,358,084,045,866,163,041,389,409,912,819,246,176,899,348,511,
932,869,659,541,490,873,302,753,632,840,658,496,554,397,093,240,294,001,141,
324,609,638,468,842,373,594,453,324,485,280,067,461,587,203,265,498,093,500,
691,599,921,447,724,805,654,341,928,844,361,151,833,273,547,356,283,103,816,
183,973,579,080,458,735,069,958,198,099,043,525,004,441,551,395,556,194,070,
331,576,622,316,867,324,029,431,727,481,494,534,587,787,206,172,737,516,135,
592,947,169,559,813,260,430,426,979,411,257,748,510,028,921,041,507,981,006,
022,086,067,723,253,365,104,776,545,585,776,565,496,542,660,723,738,119,462,
515,256,087,884,749,099,898,845,211,993,721,566,310,811,434,444,564,815,856,
764,535,706,221,174,203,693,668,144,184,934,547,361,127,329,966,067,792,561,
268,461,987,289,787,066,746,885,225,145,722,502,254,813,399,022,397,690,754,
699,264,597,602,009,764,969,268,389,897,936,052,128,862,775,080,836,850,721,
977,114,086,214,747,062,688,548,462,358,661,588,330,986,205,761,621,322,741,
576,342,016,963,351,385,212,794,726,601,833,056,663,771,646,740,406,507,094,
633,571,446,269,204,724,246,814,280,748,260,893,292,473,846,632,731,864,460,
952,097,374,130,772,016,151,927,108,154,790,546,565,239,698,011,396,304,821,
126,987,908,537,971,197,458,678,492,989,228,250,955,152,846,543,892,370,008,
290,132,920,108,656,043,411,864,990,636,345,387,935,699,303,525,414,481,510,
778,342,987,430,586,552,972,127,153,753,942,302,329,499,984,388,433,314,837,
007,653,897,089,530,274,264,684,506,714,081,544,898,417,592,372,087,712,790,
325,212,072,195,945,138,779,846,124,220,331,301,043,826,282,821,125,089,729,
020,955,109,442,356,988,153,239,759,220,872,298,268,407,886,715,881,363,763,
943,466,779,609,657,008,717,873,945,675,861,558,229,900,631,601,345,815,019,
843,781,755,081,146,425,587,969,762,644,495,023,497,527,436,232,999,019,585,
336,930,946,828,855,197,716,985,316,727,620,549,122,860,289,438,128,453,754,
200,563,678,728,496,822,712,257,827,371,936,674,726,269,551,749,573,866,308,
090,310,983,067,837,385,694,575,824,350,171,019,670,437,166,731,210,194,433,
659,844,266,623,673,063,777,991,402,682,952,285,123,442,594,892,840,109,548,
928,031,939,445,297,172,240,095,458,831,885,278,514,397,636,815,669,004,383,
834,660,016,824,444,688,084,788,491,788,959,296,970,093,408,748,359,064,681,
692,548,151,555,272,727,838,361,057,117,745,722,236,489,383,652,676,038,245,
558,174,144,137,940,255,649,236,181,822,693,196,095,900,069,888,036,713,623,
132,789,171,520,504,204,384,431,881,887,502,519,751,259,143,778,237,900,277,
077,112,416,187,636,135,248,761,046,472,386,421,643,427,121,843,655,270,904,
174,268,598,292,720,342,453,996,815,784,326,963,681,561,885,322,854,453,121,
840,131,771,961,174,475,067,807,220,970,384,432,062,802,530,168,966,624,952,
277,434,263,677,024,707,502,722,577,197,334,987,525,500,843,278,428,369,321,
218,591,668,638,877,995,311,735,661,087,120,646,772,832,348,625,927,961,494,
360,779,481,798,467,587,205,354,841,310,724,592,977,357,054,015,842,886,124,
102,956,114,825,987,231,793,116,541,248,888,360,604,115,895,608,016,186,631,
178,113,289,053,192,774,258,514,766,294,967,313,765,498,096,952,159,715,434,
853,306,696,563,112,969,811,741,506,870,786,211,413,190,165,236,793,169,553,
724,509,752,487,587,823,519,535,025,011,662,505,665,482,720,897,425,473,943,
325,292,847,778,677,290,407,655,108,739,058,182,474,570,714,999,412,202,824,
108,090,769,068,171,716,593,501,234,049,549,452,288,582,844,457,760,602,238,
588,441,712,135,872,860,253,251,464,969,729,141,680,178,664,013,222,731,880,
606,083,810,857,933,735,126,927,469,349,448,989,350,428,844,045,300,274,765,
472,595,432,524,935,527,832,287,276,450,541,760,104,670,044,947,130,251,342,
388,928,342,381,998,459,000,860,866,156,477,786,872,431,950,541,750,806,056,
021,150,549,048,883,666,221,190,598,327,614,198,250,976,865,292,054,523,711,
840,071,441,969,970,116,930,766,847,724,098,514,262,885,537,677,437,399,648,
575,278,663,887,439,497,228,387,075,791,328,911,691,285,987,768,641,240,451,
567,932,787,427,788,675,619,738,180,226,214,062,630,481,860,612,737,352,464,
118,476,861,169,399,779,655,340,929,554,522,616,888,936,857,891,963,724,664,
176,955,001,279,886,822,441,747,064,562,181,418,796,952,262,995,123,002,309,
554,084,357,966,348,033,724,722,408,182,682,488,791,101,696,131,101,686,403,
103,798,371,781,344,623,358,550,057,182,147,321,915,125,690,252,278,313,312,
467,854,707,484,959,642,812,435,067,160,289,322,493,458,913,214,799,539,681,
769,561,890,971,469,059,455,057,071,683,334,305,998,602,530,116,381,011,120,
174,822,200,401,605,153,169,827,910,808,603,459,633,018,072,997,872,057,016,
668,829,675,172,674,649,053,467,122,379,600,327,916,380,627,018,688,510,793,
683,488,996,466,715,154,937,986,765,275,265,545,528,548,082,811,796,539,754,
342,771,280,309,606,632,750,711,295,393,961,147,936,425,567,393,188,708,214,
693,987,869,482,771,307,520,245,308,834,599,587,345,777,087,108,390,333,028,
446,733,868,281,682,267,098,004,051,379,535,851,686,514,914,371,541,886,844,
232,622,628,219,353,864,168,214,716,097,520,196,810,082,968,496,601,958,949,
929,205,017,419,559,117,282,652,003,066,955,988,335,653,889,638,210,022,620,
609,555,862,617,440,945,571,527,978,356,165,790,818,374,366,212,509,209,016,
874,630,034,587,172,593,260,279,857,066,292,815,536,712,436,239,562,485,662,
287,250,054,872,280,998,382,218,472,405,867,001,659,299,026,399,107,070,464,
666,249,079,402,008,965,624,082,111,011,163,805,726,191,609,746,599,260,790,
927,314,533,573,701,518,189,118,658,925,040,115,831,721,233,813,257,675,139,
005,269,997,405,478,973,566,541,253,506,203,845,939,671,691,966,667,438,813,
454,239,606,901,683,212,241,597,885,823,614,955,978,092,434,529,498,071,690,
018,481,708,645,423,888,466,584,854,564,333,634,645,900,574,586,080,376,663,
183,187,259,801,350,000,295,833,865,734,502,834,279,744,546,597,894,576,980,
697,753,131,249,833,057,363,858,164,130,409,384,248,976,644,051,789,958,128,
924,472,818,860,672,630,244,632,420,334,921,763,739,567,750,783,858,803,712,
971,897,969,302,206,242,359,012,667,118,778,609,507,636,726,388,210,160,357,
065,486,211,205,723,834,154,110,642,708,689,678,982,914,816,051,411,816,419,
968,810,336,272,095,334,017,569,526,698,160,468,973,330,089,270,439,592,544,
377,935,144,493,934,690,345,919,145,250,871,785,649,461,275,684,158,716,026,
874,857,799,914,402,568,580,189,301,167,960,727,940,195,762,991,330,979,736,
585,256,127,250,977,096,477,810,892,250,186,158,562,182,063,998,273,455,339,
980,379,002,743,845,269,791,506,689,320,627,023,069,063,036,219,342,364,008,
814,282,467,294,249,728,173,427,906,784,928,850,260,222,597,984,035,505,112,
144,053,369,812,943,106,512,960,910,855,645,341,605,365,647,890,440,082,980,
233,373,963,022,814,853,925,143,359,351,979,789,315,931,496,097,702,903,622,
836,995,340,130,695,801,307,091,653,109,579,515,351,996,400,637,827,991,270,
794,732,111,143,024,959,774,462,408,888,379,099,048,277,440,179,454,925,000,
438,273,063,962,191,871,782,984,490,683,401,768,883,845,218,273,577,257,869,
054,631,797,211,729,988,926,964,802,992,498,999,142,421,646,467,509,097,430,
844,699,286,766,448,834,839,825,627,090,854,234,879,847,856,648,590,276,332,
469,352,425,162,173,553,689,545,767,518,977,200,328,730,717,579,228,163,038,
541,778,194,437,225,661,378,455,561,784,779,847,174,181,904,022,571,220,645,
045,615,111,859,310,972,734,919,288,602,880,471,027,742,417,752,211,962,343,
409,700,656,638,800,766,558,451,237,392,744,474,808,391,722,971,281,308,157,
104,495,505,866,509,111,968,730,694,078,124,955,848,085,164,069,322,957,883,
622,020,904,584,009,136,160,998,154,048,334,467,882,394,774,805,700,770,210,
151,734,183,171,455,132,866,364,516,587,904,628,047,545,485,909,659,806,877,
170,102,806,499,521,562,775,791,028,238,631,538,680,340,038,397,204,491,993,
712,087,717,133,619,983,362,470,265,284,969,619,690,931,934,117,736,642,516,
295,552,700,685,532,054,048,377,653,398,807,857,236,099,792,324,390,510,022,
370,340,683,747,784,123,126,199,613,314,031,275,026,630,372,998,279,245,436,
588,771,435,757,614,036,525,445,731,697,427,064,846,173,315,571,924,808,047,
546,477,418,358,808,783,740,832,054,082,277,476,916,155,514,189,285,861,074,
359,205,700,847,625,198,062,918,847,269,206,905,224,996,701,163,771,455,904,
207,292,532,102,912,093,177,506,251,407,803,928,985,601,180,625,689,845,020,
440,839,627,655,322,056,606,287,041,075,676,592,968,333,581,510,356,586,211,
864,156,106,334,012,988,219,558,274,705,669,759,217,982,158,868,646,065,960,
851,859,076,689,890,300,971,603,341,445,652,524,377,464,845,144,434,373,374,
173,526,895,006,496,746,499,436,575,509,873,319,264,618,312,862,650,915,751,
718,821,414,848,273,653,336,312,018,120,665,068,154,635,428,149,593,917,629,
672,876,171,996,805,650,359,798,971,665,383,163,525,735,559,715,904,717,576,
753,444,247,393,653,771,739,836,331,462,299,270,756,579,052,575,073,545,079,
808,438,920,428,685,835,842,349,976,104,112,809,310,262,900,218,928,842,817,
214,865,006,091,110,253,065,712,394,134,481,225,113,822,145,919,143,355,606,
033,759,096,962,771,006,841,046,405,846,305,143,273,623,037,034,141,624,327,
625,836,114,248,156,541,633,310,675,905,610,771,476,661,852,898,577,525,836,
197,375,819,307,703,875,604,573,493,097,718,446,197,386,916,188,348,384,107,
864,944,343,950,006,404,269,227,084,416,195,952,761,606,987,561,940,373,915,
199,487,723,705,792,114,562,027,135,524,743,317,584,657,574,621,363,595,935,
786,367,400,731,652,086,939,569,533,377,362,210,862,684,123,854,032,253,469,
278,923,462,899,674,297,788,266,232,097,246,073,577,552,457,249,153,820,391,
478,185,694,192,224,678,016,676,214,631,833,287,082,840,571,333,174,748,651,
987,695,801,902,731,156,970,813,258,478,475,747,017,949,566,382,579,277,663,
034,443,570,325,338,250,279,750,451,496,601,518,972,487,370,797,124,002,917,
398,165,228,039,480,054,059,310,765,407,280,716,551,738,730,157,544,470,268,
623,254,416,531,515,721,930,945,925,008,049,905,120,604,750,603,025,889,284,
885,192,923,270,149,395,333,515,165,791,811,600,600,520,658,626,331,683,633,
161,132,944,505,457,770,360,530,477,576,136,196,024,244,891,591,880,295,090,
233,294,235,662,288,852,435,746,280,431,899,382,283,644,554,526,052,564,684,
397,030,841,763,601,126,939,929,097,973,608,802,721,627,458,290,485,076,448,
892,734,757,158,655,962,815,054,762,405,880,095,643,080,412,647,856,847,094,
507,308,693,092,694,053,114,976,738,199,096,590,828,326,634,633,639,408,261,
931,044,911,763,994,152,932,116,078,784,721,908,880,767,740,143,576,941,790,
384,846,310,983,814,579,679,152,465,966,691,890,330,014,915,165,260,577,394,
231,031,918,402,796,671,419,043,622,487,803,978,459,902,984,117,839,117,858,
167,812,162,304,431,928,299,864,032,655,413,675,260,136,611,941,615,071,505,
941,861,602,935,166,911,841,150,054,409,433,538,768,531,854,515,999,048,223,
031,338,845,305,050,627,268,459,108,088,591,468,830,070,907,610,511,113,814,
818,018,928,950,289,773,445,408,479,785,359,998,673,006,991,577,423,183,362,
326,955,084,963,448,617,394,222,924,403,796,400,703,381,496,116,836,229,898,
695,441,461,405,333,678,264,450,370,391,413,280,772,066,226,660,991,952,232,
076,956,239,105,015,584,445,201,967,354,744,760,532,949,850,027,191,769,183,
259,390,879,376,246,155,820,324,285,284,547,087,588,184,369,082,045,583,892,
815,201,370,736,440,319,496,248,716,384,556,289,633,530,588,394,602,159,564,
296,520,279,440,699,351,526,816,806,182,665,152,511,679,609,284,332,279,489,
238,185,183,359,602,659,224,834,190,199,029,672,972,423,245,976,716,182,528,
824,761,596,524,227,236,835,030,576,463,644,216,654,802,507,428,681,021,443,
137,148,259,745,604,930,575,524,980,762,278,396,873,260,811,615,392,040,798,
562,058,632,868,588,348,361,773,203,052,460,184,101,873,191,697,218,471,518,
747,999,636,373,287,676,407,435,548,963,901,141,575,219,394,037,727,379,250,
752,421,445,359,385,646,738,157,570,286,539,166,026,732,709,743,430,166,793,
087,052,149,572,559,197,311,980,614,003,975,465,087,737,718,067,896,790,980,
650,209,932,203,059,043,379,123,429,604,738,106,544,889,486,990,504,098,615,
407,730,459,817,700,827,950,416,714,379,613,754,924,383,386,293,964,642,947,
376,033,842,077,793,104,223,093,548,221,622,590,188,428,474,870,209,815,447,
855,578,180,702,563,080,222,210,376,885,875,285,468,591,667,312,527,411,085,
766,264,036,123,106,650,734,939,161,809,690,910,198,385,071,181,605,762,382,
218,417,712,596,044,964,489,246,416,868,286,699,006,472,430,974,193,083,297,
506,999,163,767,050,541,118,236,202,238,830,620,056,079,991,533,058,731,192,
797,002,262,340,221,661,376,327,667,093,354,215,116,453,989,070,302,780,041,
736,113,470,161,065,473,270,348,988,591,207,578,080,308,751,573,346,552,424,
330,705,323,886,064,538,641,770,590,818,791,872,573,006,190,769,544,618,623,
038,785,257,377,308,961,528,952,512,443,311,380,924,345,651,458,931,912,079,
904,228,819,050,910,600,251,883,533,752,589,057,512,509,429,732,756,333,179,
101,788,347,665,831,543,836,799,955,825,067,296,185,332,970,216,932,236,645,
698,353,970,355,090,152,903,489,623,750,955,568,017,397,989,284,918,860,981,
659,494,620,830,681,904,568,010,844,286,864,086,596,925,192,326,258,289,048,
489,783,160,609,162,521,436,111,962,879,071,145,809,644,803,438,581,621,745,
964,494,432,581,916,969,732,502,906,472,552,988,069,465,442,067,278,561,668,
168,355,353,145,872,972,680,079,654,382,692,990,288,215,807,334,185,516,566,
664,152,256,371,544,314,740,973,617,260,443,667,558,955,329,341,576,154,723,
151,854,892,986,404,268,520,517,163,402,839,316,345,021,154,800,415,000,381,
711,096,197,223,963,390,949,928,957,625,521,686,177,733,670,407,665,257,653,
282,206,041,484,444,215,068,020,794,799,820,469,767,208,232,081,078,988,469,
968,673,367,967,051,235,585,796,996,405,444,269,011,769,821,599,466,336,210,
219,571,033,913,906,029,760,488,742,806,538,155,806,243,602,635,522,767,030,
543,572,954,557,650,229,797,049,186,134,223,895,612,442,568,720,677,936,623,
329,326,812,801,576,759,902,941,902,378,645,260,094,796,687,166,986,446,373,
641,971,526,652,441,622,665,431,544,619,742,405,945,701,428,881,430,266,290,
392,975,034,316,577,330,262,207,797,357,850,764,850,990,371,755,071,889,927,
667,075,187,557,710,166,451,491,825,904,799,122,062,930,086,235,197,224,598,
952,310,788,310,143,441,540,837,520,058,516,258,227,212,225,484,181,843,585,
997,093,414,594,435,097,679,540,714,964,154,438,176,550,731,105,083,398,688,
503,475,848,409,333,363,799,433,276,081,037,696,458,039,322,563,530,116,834,
002,395,308,499,509,971,916,604,544,451,639,649,390,673,366,358,562,650,410,
320,425,734,030,499,481,454,717,896,657,447,391,958,108,878,524,390,475,330,
176,723,674,475,396,057,208,142,053,319,918,985,011,415,489,742,394,416,764,
479,265,924,424,354,613,336,576,810,503,977,964,014,423,009,492,976,791,305,
189,211,153,039,445,780,425,713,639,012,234,799,418,248,858,646,743,463,891,
757,828,985,979,358,565,647,105,873,671,921,005,990,935,045,130,137,915,948,
590,640,305,735,898,812,943,346,545,928,246,006,149,426,676,026,309,696,218,
514,002,652,806,235,696,768,180,633,310,859,528,162,362,510,912,112,034,014,
139,340,918,093,318,242,779,130,686,868,509,935,819,862,186,786,243,123,752,
755,022,105,619,813,344,227,968,428,391,976,772,350,744,344,027,509,125,522,
461,674,984,511,592,516,977,894,937,262,204,766,773,322,197,953,270,908,111,
662,544,155,493,281,319,636,351,109,164,842,567,925,969,227,404,102,189,199,
867,856,911,697,689,899,708,490,627,697,837,974,264,945,430,847,815,727,247,
746,417,395,321,700,195,475,128,901,343,737,599,162,131,561,998,171,673,728,
128,406,654,608,130,701,692,993,255,615,890,370,410,926,116,446,421,379,221,
814,577,587,347,818,682,381,118,719,006,500,823,748,409,823,205,848,086,943,
451,389,260,018,265,702,102,565,145,630,685,698,825,442,167,119,775,955,987,
838,580,167,749,028,958,795,478,300,218,048,089,828,197,400,469,108,830,996,
528,238,171,300,847,986,897,598,061,758,729,880,822,145,438,858,351,028,346,
250,066,699,648,626,380,277,101,128,782,440,158,509,280,822,430,357,050,599,
267,937,842,043,056,071,790,516,736,903,745,120,202,803,745,468,787,946,121,
821,377,308,851,478,637,110,717,137,495,811,753,552,120,179,329,384,373,794,
621,337,103,961,928,412,806,797,882,897,688,261,563,351,496,264,673,264,903,
504,428,485,985,133,448,783,597,555,550,259,612,064,766,727,436,861,587,883,
022,936,333,747,758,921,615,374,397,033,596,914,092,500,441,136,269,663,661,
384,618,239,004,752,210,205,987,840,431,951,834,423,996,862,138,369,210,953,
918,193,169,623,313,822,063,187,710,057,019,843,083,471,599,914,261,770,557,
623,575,652,163,005,563,629,014,821,443,519,922,777,603,342,233,671,844,335,
615,735,984,171,204,173,659,651,190,802,884,681,916,073,130,770,933,170,946,
148,680,870,112,453,148,224,217,850,102,460,090,641,250,347,991,429,721,405,
945,386,229,646,839,919,730,746,256,160,141,622,373,029,129,166,048,666,005,
571,787,664,783,239,992,899,467,444,173,676,049,733,224,659,740,335,189,637,
271,160,688,124,534,428,039,238,489,393,285,485,771,322,073,870,779,206,621,
196,603,245,437,323,116,011,866,426,535,571,521,000,777,393,313,470,792,465,
926,995,454,939,325,231,024,194,108,247,774,016,128,890,174,953,057,060,295,
179,318,060,724,729,236,187,157,636,818,100,949,110,546,548,852,574,340,057,
179,344,071,973,036,357,283,772,378,775,190,295,199,644,952,625,362,923,897,
591,070,757,682,329,959,302,292,042,711,687,336,143,480,997,783,324,732,764,
865,583,303,986,952,093,165,562,752,086,525,578,619,228,387,345,799,979,789,
094,636,767,804,474,321,406,770,726,889,796,097,894,588,031,723,488,015,713,
457,702,455,912,040,028,775,458,784,985,969,646,909,200,436,609,912,173,118,
809,732,622,999,116,819,877,588,721,263,239,185,663,462,070,752,426,730,171,
668,238,789,522,264,513,927,891,261,547,936,332,027,751,417,571,365,003,157,
637,543,644,591,527,086,091,503,991,280,316,883,435,749,749,127,452,403,404,
486,597,863,736,863,303,078,970,204,369,426,321,962,374,058,097,977,315,429,
737,795,149,015,640,815,037,621,526,451,251,082,454,685,716,306,881,686,244,
988,590,968,875,779,617,000,151,695,710,780,003,643,415,004,566,460,035,272,
612,683,199,279,191,114,383,219,739,740,766,723,866,661,045,838,603,255,787,
030,342,978,606,967,859,135,712,745,943,270,484,093,033,712,569,116,405,229,
118,832,538,198,636,816,245,254,949,552,906,808,221,286,301,391,355,908,650,
076,367,733,117,228,203,785,630,592,625,110,364,358,626,405,709,315,794,019,
745,898,338,317,243,149,687,921,586,033,283,844,590,207,048,301,912,260,484,
070,303,797,875,547,815,208,676,923,296,854,873,441,363,708,543,519,870,851,
376,908,043,983,220,418,156,038,687,116,955,744,808,800,146,492,019,149,046,
206,363,718,366,780,369,918,247,744,608,434,782,045,479,321,966,515,336,819,
408,946,459,237,428,337,690,378,407,057,637,199,622,951,330,389,211,693,555,
467,692,040,980,837,668,120,676,681,219,183,552,224,200,300,135,476,055,525,
411,211,747,036,686,683,292,230,416,436,817,111,985,803,311,269,845,435,650,
820,115,605,243,715,759,358,111,576,701,610,507,061,964,837,337,897,988,938,
914,761,653,342,898,366,679,334,909,321,362,020,281,090,629,563,838,097,889,
019,695,371,248,588,698,160,723,228,745,332,602,190,670,785,082,289,243,287,
347,573,328,329,562,176,193,987,677,711,241,506,516,292,373,636,469,877,959,
793,477,741,011,327,188,155,173,366,869,238,084,629,359,431,604,665,667,132,
041,739,702,673,271,482,589,155,432,980,775,703,471,083,177,751,625,498,249,
661,431,477,047,115,517,600,610,548,875,470,917,161,640,260,458,182,600,402,
229,443,107,266,898,005,911,619,247,199,171,146,421,536,911,887,729,430,222,
013,864,458,661,143,399,369,986,649,861,149,494,986,718,243,605,385,255,979,
430,162,811,295,561,446,214,714,337,249,269,066,663,487,018,689,015,916,878,
075,759,659,441,016,019,415,507,398,943,634,686,481,015,137,969,211,529,250,
761,502,369,403,025,058,273,412,547,673,598,588,421,692,530,047,584,768,515,
368,477,811,199,124,020,960,152,001,091,673,631,456,845,065,778,431,656,866,
845,515,689,800,206,904,103,432,033,896,475,533,384,222,419,870,646,464,002,
480,107,041,117,616,207,641,257,110,416,093,390,818,275,015,934,431,088,760,
542,508,666,640,410,758,041,466,299,582,223,832,255,892,865,554,962,221,622,
309,779,996,175,543,250,955,556,696,497,198,393,375,962,222,439,580,635,049,
744,452,707,824,989,971,907,775,299,481,792,788,635,861,112,084,903,331,249,
455,721,663,238,118,103,885,002,329,357,658,352,627,934,328,613,979,291,819,
312,141,233,012,161,538,992,456,362,376,280,697,958,109,365,185,511,122,100,
093,483,129,395,034,203,644,589,138,055,533,156,684,287,445,103,884,993,495,
153,770,536,510,904,816,183,604,558,159,537,699,755,379,881,137,560,447,382,
707,629,257,562,693,357,169,590,879,894,962,660,154,697,850,718,982,962,071,
799,810,519,030,994,504,328,955,579,643,740,389,047,533,258,486,352,863,149,
610,692,340,397,878,922,413,905,852,032,791,006,610,042,431,474,049,374,477,
117,094,157,740,457,502,829,652,211,151,654,459,608,735,698,734,884,969,998,
920,426,690,858,601,451,504,627,651,616,480,659,737,963,185,616,825,897,906,
776,318,248,771,470,615,604,036,819,675,261,973,281,173,918,570,080,848,058,
587,377,413,841,013,364,171,239,142,775,876,635,032,231,755,663,462,310,841,
620,631,670,972,969,055,262,389,771,160,540,851,645,741,287,913,844,910,752,
343,733,907,131,819,825,693,948,274,209,027,657,553,848,136,497,117,446,079,
204,323,357,644,813,042,257,879,489,298,557,322,441,582,479,629,253,590,736,
615,636,149,901,933,639,870,987,046,314,335,323,587,714,510,050,641,318,849,
224,529,053,577,795,876,808,152,700,917,079,055,309,206,318,500,897,905,827,
937,950,579,985,714,842,162,649,607,922,735,367,373,707,267,234,929,734,271,
293,268,845,644,461,053,488,863,358,214,979,730,276,013,816,103,778,512,237,
030,931,144,016,960,851,994,586,638,967,711,531,467,080,156,369,410,120,108,
469,664,185,445,554,504,274,813,483,446,048,135,194,911,722,385,436,472,053,
798,542,581,345,073,449,978,644,820,165,172,193,932,565,979,510,079,073,578,
876,602,797,010,937,837,570,676,892,281,614,273,955,893,624,506,848,901,100,
035,551,540,561,097,568,974,010,870,852,377,062,195,173,406,238,928,811,229,
858,389,916,748,811,127,662,119,208,490,579,892,162,346,135,532,388,514,512,
084,600,251,830,623,003,359,583,973,598,406,819,065,279,201,490,947,756,418,
152,288,690,633,787,107,655,747,669,508,674,149,551,851,694,230,748,942,264,
704,385,885,749,544,866,290,354,145,766,425,283,780,354,235,799,189,459,058,
976,262,216,915,249,852,614,950,759,988,159,425,968,843,610,818,055,426,419,
038,800,856,020,797,101,343,438,400,769,743,937,832,449,231,921,622,209,249,
099,414,181,653,847,685,397,963,822,519,695,223,191,532,417,766,765,041,840,
337,449,869,590,481,950,450,100,378,474,277,389,754,794,217,294,091,471,523,
564,470,236,021,554,119,232,603,140,971,071,526,509,031,028,924,006,036,334,
783,613,954,869,200,324,524,614,457,379,908,494,745,218,679,204,755,852,250,
639,015,801,493,472,198,888,971,103,345,675,297,239,548,288,136,870,132,414,
460,739,854,781,692,591,960,354,419,395,789,240,928,122,389,754,061,989,910,
489,518,260,082,470,987,629,772,119,793,237,160,780,893,399,488,686,354,828,
918,188,701,605,903,438,746,460,064,827,156,589,103,456,680,910,723,708,052,
038,610,217,463,410,567,832,324,951,918,927,226,203,001,532,313,518,524,974,
753,799,405,192,197,995,859,999,519,026,357,023,146,806,427,759,360,831,891,
406,041,783,588,719,386,774,640,254,202,817,598,084,311,358,365,201,676,897,
431,946,117,746,198,701,121,004,100,233,304,050,737,009,557,146,006,837,071,
640,915,439,809,765,252,146,597,328,703,495,405,102,356,194,769,881,721,025,
291,320,596,274,587,374,186,500,166,113,305,371,049,691,356,157,727,875,920,
051,677,713,627,810,245,540,582,553,388,259,828,227,651,988,587,615,310,963,
275,684,150,388,941,926,864,965,540,204,389,010,826,854,572,221,805,338,145,
108,979,725,706,776,089,193,983,095,496,303,649,641,190,110,037,745,951,423,
399,582,327,430,944,802,832,809,777,389,062,786,944,929,190,026,639,205,787,
283,601,089,942,018,229,222,760,436,799,216,628,574,739,920,456,039,156,879,
154,532,667,269,907,953,927,863,739,719,170,716,712,711,344,625,278,872,893,
427,076,965,298,825,173,761,248,807,038,205,830,795,021,505,999,137,965,858,
644,618,095,793,341,654,556,092,816,493,447,446,634,408,044,025,808,774,865,
352,379,938,079,001,298,277,084,685,096,907,756,265,824,964,740,002,755,408,
074,899,779,378,102,839,408,889,502,171,175,767,999,083,652,427,731,984,585,
009,011,384,495,481,951,637,280,500,071,853,926,968,231,068,119,372,985,643,
224,143,130,971,425,150,963,704,284,967,088,610,145,722,704,435,403,917,788,
497,523,557,795,352,224,093,283,641,725,973,910,345,372,891,892,698,479,142,
536,482,611,019,430,087,248,892,460,331,534,947,255,354,731,198,818,757,119,
581,765,171,087,140,906,256,893,214,249,129,479,496,407,559,456,136,921,551,
412,888,461,620,033,185,703,504,673,978,211,648,015,672,908,440,848,532,999,
739,688,438,115,499,414,767,727,716,703,627,917,833,993,129,451,478,771,226,
985,069,887,331,358,224,604,741,390,847,817,454,678,609,671,830,744,304,763,
843,811,712,324,408,273,573,495,505,678,808,372,315,940,716,375,915,120,483,
931,731,953,757,741,384,890,203,005,667,195,794,917,271,894,566,938,100,136,
410,842,955,132,289,043,090,324,235,354,032,349,482,389,045,237,262,944,900,
806,699,756,131,236,394,862,849,633,938,500,095,803,928,819,599,753,478,734,
008,217,565,590,086,543,365,370,893,222,838,970,316,213,192,410,392,969,735,
632,059,516,410,557,828,438,830,365,797,398,329,348,649,256,773,129,294,434,
158,385,734,576,993,359,571,877,715,280,943,938,706,234,248,755,484,889,629,
395,139,620,501,178,732,046,977,997,229,238,186,884,126,849,088,136,753,795,
100,697,430,253,054,873,632,169,537,835,297,366,550,722,802,787,982,508,604,
567,483,855,276,215,246,325,123,118,835,043,847,250,363,242,834,833,152,081,
604,307,441,264,946,357,610,497,596,689,730,083,352,625,271,811,363,447,695,
765,105,688,294,231,900,275,130,891,966,307,975,117,273,487,381,757,196,275,
983,753,789,931,984,302,012,156,045,737,405,478,810,009,682,802,783,432,799,
137,994,512,496,460,191,383,820,132,561,150,701,844,012,688,680,408,191,469,
993,791,232,524,952,027,918,362,872,436,151,379,923,874,708,091,433,270,956,
945,520,660,479,012,901,738,933,512,815,087,314,485,683,186,827,388,581,721,
527,295,336,622,052,284,410,636,163,629,969,617,620,513,312,662,451,753,166,
077,852,597,368,339,889,735,863,818,482,490,920,507,589,848,241,768,647,795,
493,902,190,705,004,801,698,288,059,434,939,101,255,789,750,220,001,450,418,
642,317,452,948,698,731,746,248,791,702,074,140,623,717,758,013,626,389,832,
769,378,196,445,441,896,301,257,453,049,625,530,208,931,603,035,689,251,055,
322,864,645,067,625,958,630,872,816,905,791,465,597,138,235,799,526,423,169,
490,158,315,549,178,603,256,627,256,158,042,958,930,944,604,224,587,868,646,
200,152,969,904,440,631,671,229,732,428,410,059,070,023,035,524,068,707,105,
709,575,161,213,332,917,601,357,520,147,338,643,495,992,204,352,093,574,886,
616,666,593,581,069,495,772,604,613,890,209,924,695,787,994,798,477,775,934,
324,253,757,884,605,993,179,579,146,148,344,882,416,737,024,707,687,388,489,
941,081,800,251,018,037,119,915,052,874,585,896,642,787,672,431,777,761,092,
591,755,120,384,565,724,305,969,315,994,123,532,013,791,259,794,321,822,387,
685,053,729,495,505,833,593,363,040,697,918,033,041,664,103,625,611,414,193,
355,329,858,934,203,985,920,416,727,674,401,098,101,738,338,499,096,843,584,
934,539,012,857,804,230,856,143,926,553,400,760,351,285,832,614,697,539,838,
927,007,982,183,845,392,139,124,607,577,826,658,384,598,834,813,781,981,888,
912,303,950,292,604,959,608,017,973,430,797,900,121,153,833,987,013,150,347,
005,695,469,455,151,097,919,973,203,965,166,718,105,829,733,827,517,379,053,
020,056,653,624,227,715,896,191,403,633,512,955,406,225,321,140,616,968,466,
202,524,519,682,212,481,211,902,973,470,348,109,687,204,156,810,377,716,715,
588,033,792,317,758,555,717,477,075,242,581,778,202,699,839,459,062,404,122,
468,596,311,207,543,009,526,860,604,375,897,824,879,140,716,880,724,424,397,
583,424,727,667,728,411,999,914,145,702,426,083,999,862,732,485,595,751,636,
792,032,146,584,161,342,081,678,983,433,568,642,824,191,931,164,930,569,652,
549,768,319,121,704,740,195,234,588,505,571,192,918,144,253,833,613,904,041,
607,217,972,400,839,726,580,042,237,997,949,646,308,619,947,294,017,672,636,
835,386,165,101,718,262,223,121,791,594,779,206,209,696,671,723,657,150,425,
758,915,942,027,490,877,148,926,858,401,633,937,984,714,826,418,015,011,896,
833,305,347,657,572,721,628,474,713,011,936,459,192,962,226,103,402,742,049,
258,661,312,485,356,945,404,550,256,063,056,219,229,963,542,470,438,911,534,
235,902,844,380,539,215,059,518,382,830,684,381,292,101,600,905,135,397,656,
107,922,329,262,229,780,570,324,240,426,909,426,708,970,473,717,382,189,446,
097,361,014,728,085,284,940,114,123,449,477,370,971,434,941,317,418,611,369,
999,948,744,254,127,995,184,816,767,247,166,519,128,286,526,196,965,655,622,
818,025,842,358,100,557,089,152,106,061,813,275,467,765,189,826,804,763,966,
919,839,166,810,741,013,537,701,440,825,626,551,601,886,014,163,601,751,779,
643,009,949,079,806,392,978,322,092,742,934,289,895,004,874,693,330,429,992,
509,825,457,577,191,123,314,119,046,010,348,208,069,650,199,858,391,580,431,
945,760,115,633,189,520,308,274,693,732,927,784,204,552,082,231,975,366,517,
487,042,992,065,256,296,449,706,947,872,151,768,208,889,039,149,218,807,258,
493,450,125,622,976,032,414,263,248,312,573,692,719,205,311,882,159,239,521,
296,645,372,242,910,235,086,171,457,931,943,244,254,137,279,815,904,778,510,
943,893,534,582,878,401,769,007,678,652,800,365,475,555,029,044,293,245,287,
570,720,636,247,662,103,869,331,090,376,763,956,252,991,953,484,194,435,643,
933,107,475,237,531,555,912,466,133,334,040,207,522,808,179,695,830,777,471,
756,835,003,679,959,521,172,135,178,947,314,066,068,974,784,998,503,668,278,
739,709,919,184,679,996,022,984,394,179,474,073,685,454,468,150,365,070,092,
132,574,179,701,770,733,940,236,041,797,564,686,384,677,252,798,720,881,326,
520,239,951,957,207,922,841,353,793,421,905,439,269,417,240,623,100,763,523,
632,183,584,665,559,211,908,390,231,083,849,782,641,651,828,425,003,809,327,
229,509,618,011,723,879,784,802,199,639,969,446,154,329,754,569,610,428,787,
863,682,697,689,082,080,530,326,179,109,202,491,186,528,867,996,467,902,385,
053,421,076,215,284,305,889,545,538,993,644,239,619,313,997,738,059,146,911,
909,844,827,630,461,225,601,069,282,230,377,716,330,823,427,175,493,744,653,
375,236,746,758,625,210,159,029,751,839,846,980,852,460,378,136,333,925,253,
777,281,298,652,538,434,123,804,266,349,705,857,567,507,147,198,527,032,355,
845,679,662,973,222,855,727,595,568,264,575,344,952,723,552,859,074,082,936,
542,107,036,838,121,696,698,988,532,605,782,449,292,391,276,854,018,466,653,
795,772,583,788,039,073,552,528,430,973,851,234,340,976,957,631,535,097,925,
323,462,023,137,669,600,503,865,599,482,727,884,943,833,378,957,541,689,336,
969,708,990,466,940,967,569,259,142,690,188,462,256,218,110,428,481,569,605,
951,655,343,073,582,765,908,011,892,766,005,897,403,057,386,753,697,920,092,
408,291,964,808,482,937,685,068,785,152,410,433,071,188,578,457,402,019,512,
627,021,809,945,740,705,236,654,616,991,221,502,006,522,708,991,000,892,444,
970,310,928,014,265,364,794,233,782,445,567,616,938,818,642,953,637,567,830,
167,632,212,071,264,666,402,333,629,910,010,766,109,098,268,408,040,533,698,
717,996,529,663,436,584,206,197,043,379,325,340,641,390,828,301,377,255,684,
399,964,552,581,384,105,197,632,352,929,503,830,225,932,695,489,940,936,579,
002,049,428,425,888,054,724,413,545,339,639,413,688,703,137,575,122,404,836,
350,344,873,580,017,760,562,756,194,762,306,766,385,746,494,517,344,317,358,
967,369,522,646,209,481,287,481,892,853,663,166,468,170,962,053,303,781,230,
005,306,896,215,887,306,061,220,076,683,212,120,509,684,980,484,418,174,342,
050,418,999,475,151,829,687,456,625,911,420,152,604,279,416,719,661,868,374,
509,965,416,484,312,330,505,639,661,747,463,801,884,816,942,371,490,447,278,
653,869,115,001,016,368,210,407,405,434,267,511,857,548,570,396,486,364,859,
894,804,282,671,450,341,177,101,336,440,113,193,105,403,005,288,270,317,971,
914,487,288,110,292,162,637,547,280,060,771,071,257,003,567,711,867,802,956,
458,648,879,285,020,813,146,578,122,111,093,446,107,311,263,155,140,642,259,
891,238,608,390,889,017,547,207,274,074,856,038,456,907,812,475,415,402,196,
147,442,539,722,937,939,887,690,438,287,733,341,251,716,492,116,787,478,063,
965,003,669,484,431,860,515,988,301,510,042,682,420,441,237,582,230,156,918,
692,755,849,588,005,414,034,857,384,393,599,992,161,378,292,797,595,009,425,
624,078,801,805,226,780,593,555,329,370,585,927,862,327,781,666,869,855,333,
277,881,477,825,868,716,555,263,426,703,206,003,067,892,204,314,030,487,185,
055,241,213,596,294,995,420,149,478,290,054,771,066,841,559,271,814,265,576,
224,509,963,725,283,730,142,668,419,593,037,890,885,507,280,436,672,235,943,
979,306,756,401,620,368,574,736,388,359,649,924,670,763,151,590,925,539,653,
389,675,387,286,035,909,209,683,775,642,055,920,618,792,959,208,165,741,712,
204,159,859,649,564,378,571,843,757,256,131,439,599,027,935,480,061,798,562,
650,332,107,399,072,964,889,660,628,019,909,003,940,722,758,170,537,772,195,
012,746,252,928,987,709,351,846,218,050,961,990,386,201,052,736,755,149,102,
236,854,545,597,137,249,504,544,784,672,787,688,906,978,265,665,141,157,706,
740,593,522,345,033,105,473,797,493,123,552,368,429,595,685,556,296,374,058,
945,845,560,206,591,081,782,524,627,877,051,436,326,080,898,355,738,950,964,
649,400,234,324,590,714,176,423,616,026,566,888,048,221,982,140,083,486,619,
776,566,791,778,240,997,377,953,000,843,279,659,766,212,487,132,828,223,049,
090,104,370,917,667,394,469,967,181,674,218,153,865,692,282,949,320,789,915,
845,266,719,616,931,750,638,420,140,774,707,385,225,829,069,443,308,233,889,
029,430,405,903,480,966,829,090,301,120,952,811,399,539,764,919,275,654,374,
833,275,404,306,876,880,310,940,888,552,730,076,111,217,111,930,041,895,552,
331,983,071,068,659,811,436,201,696,994,134,432,579,280,615,599,995,421,628,
955,254,956,853,080,491,962,401,968,231,841,817,338,132,786,686,632,747,090,
306,929,238,052,227,618,082,876,942,548,509,264,643,717,622,805,410,068,650,
080,757,052,597,988,686,450,203,204,795,634,323,900,255,350,565,132,679,696,
560,896,069,077,116,711,808,164,340,162,523,015,517,890,688,326,223,727,266,
217,793,851,406,818,968,153,533,290,970,447,746,344,579,882,903,826,496,172,
665,984,156,054,225,569,900,461,614,256,470,991,986,933,975,862,768,355,941,
502,794,551,986,710,879,671,911,735,154,273,409,060,240,650,093,793,120,580,
602,914,012,987,467,057,208,103,283,085,119,914,699,955,846,615,298,311,685,
370,961,583,330,188,778,740,374,078,775,547,779,796,333,907,752,909,008,384,
258,896,759,537,781,523,253,594,998,105,706,258,172,574,030,558,576,560,009,
305,749,955,429,326,807,522,160,695,942,597,181,972,970,753,293,404,113,662,
112,983,982,128,116,069,983,520,025,433,230,167,182,728,700,414,003,300,836,
129,815,747,355,802,680,722,699,114,873,313,729,790,749,543,898,092,618,104,
014,428,280,684,468,725,871,419,234,811,292,303,491,502,442,363,799,440,101,
367,631,300,522,644,020,733,478,573,097,604,491,529,191,847,014,661,649,192,
736,509,715,526,776,679,654,142,247,769,015,590,606,557,775,109,683,716,244,
818,513,739,585,177,398,165,420,833,302,826,492,466,951,037,803,623,111,002,
071,147,122,153,968,403,652,462,330,715,379,390,909,366,749,974,422,193,352,
080,307,956,731,430,901,375,357,452,696,193,972,867,540,537,377,791,267,439,
776,935,022,445,018,022,906,130,229,433,012,402,654,449,989,678,014,479,981,
979,563,499,587,408,492,433,774,198,150,114,316,268,031,047,486,476,402,163,
831,297,306,887,783,252,050,214,499,941,083,356,918,488,524,903,323,969,414,
270,399,101,303,065,406,087,198,337,000,778,364,511,598,705,243,952,326,293,
886,622,137,577,523,041,540,803,848,896,966,502,566,857,308,250,787,810,379,
298,682,117,678,185,079,450,977,599,319,963,808,632,710,572,825,815,059,303,
416,615,465,103,855,457,381,948,212,617,699,826,554,407,808,511,491,722,212,
014,448,807,588,581,671,876,632,823,930,173,983,889,723,083,494,989,016,860,
619,715,509,675,159,852,959,454,686,490,264,233,481,430,701,041,435,683,761,
478,633,937,558,552,239,647,854,873,018,189,970,850,523,474,596,218,415,983,
437,048,165,115,610,644,712,903,855,896,450,578,719,113,683,327,196,820,507,
573,445,597,300,521,420,075,030,142,040,272,106,913,123,637,196,309,322,753,
579,523,535,503,514,241,932,248,836,385,396,159,788,596,820,334,255,091,518,
901,496,968,449,168,906,634,156,065,755,138,935,483,395,447,368,698,719,966,
973,193,821,667,780,316,838,298,577,049,518,183,568,864,281,179,428,760,097,
173,048,420,764,056,591,268,393,173,680,570,486,503,835,423,167,579,053,415,
922,001,896,354,706,536,838,963,837,969,061,956,170,837,142,227,605,033,010,
564,195,300,100,079,068,187,864,952,776,705,507,297,350,704,009,720,797,517,
055,224,825,282,360,810,459,600,344,006,036,936,043,091,983,942,411,768,381,
460,003,130,756,164,050,933,134,857,950,448,270,033,108,446,739,811,650,426,
464,008,790,378,098,715,179,430,705,036,331,078,572,536,367,691,599,602,556,
037,709,464,880,982,866,955,539,252,228,240,105,607,099,925,871,110,807,985,
548,744,433,727,653,138,411,827,046,629,995,504,101,557,204,276,374,503,054,
522,228,410,163,826,962,519,652,945,783,325,171,731,069,229,298,748,813,175,
702,480,245,498,389,031,858,432,445,297,234,599,470,932,505,484,206,481,325,
906,863,109,393,506,727,885,639,060,640,107,463,847,245,736,997,141,611,424,
964,620,482,568,302,947,865,496,222,364,587,787,092,946,060,798,963,040,410,
136,531,521,493,309,220,859,157,177,854,228,703,273,381,644,695,524,697,622,
951,790,052,256,863,634,683,323,387,781,917,501,664,799,408,632,357,890,284,
696,054,005,879,060,793,024,972,949,437,478,801,128,960,650,220,683,141,092,
698,675,445,120,675,714,777,585,542,432,918,806,899,782,430,281,397,795,293,
160,231,358,860,130,847,325,934,708,582,867,524,668,006,930,314,588,389,825,
118,201,732,320,292,750,527,796,172,932,022,303,830,402,454,755,049,642,514,
770,493,715,005,458,517,228,394,389,701,697,777,105,908,454,341,726,604,132,
695,695,554,259,218,068,995,301,682,772,003,395,758,642,032,969,334,602,222,
791,435,993,790,985,430,615,699,252,660,134,303,469,063,753,301,272,485,433,
008,691,147,737,026,800,681,797,992,690,127,654,612,361,107,177,371,800,073,
555,985,003,780,736,186,835,375,457,526,219,505,366,687,711,398,609,436,203,
269,054,750,922,216,186,360,297,704,244,613,762,209,055,221,401,228,739,277,
307,894,386,752,063,034,295,324,191,704,768,563,436,619,991,112,183,466,265,
875,438,973,090,363,787,100,207,143,238,240,437,666,506,564,074,499,370,911,
726,709,050,371,744,238,987,199,697,238,728,721,206,416,076,646,339,925,654,
035,114,583,403,869,287,355,102,386,475,212,325,204,333,920,693,812,110,350,
600,948,026,395,259,922,591,460,213,447,370,272,452,594,981,655,727,117,798,
348,974,983,780,580,677,205,080,654,104,308,513,968,573,388,538,632,874,147,
249,962,890,622,194,927,971,846,665,316,280,708,830,749,469,425,900,697,573,
640,446,500,611,403,873,393,963,951,335,727,554,585,814,352,706,664,838,958,
553,608,992,756,512,456,817,175,429,298,399,075,282,758,695,366,086,878,130,
329,280,578,902,166,242,925,540,698,124,203,657,841,287,073,392,900,033,745,
269,216,539,740,150,295,454,647,371,185,135,585,658,497,544,920,505,309,546,
939,039,804,456,063,463,063,668,371,095,696,586,258,518,558,413,960,473,552,
430,001,046,578,796,456,361,790,698,373,031,142,604,427,005,365,643,470,635,
778,825,703,252,161,764,076,559,292,531,182,196,761,857,236,971,666,041,663,
635,708,811,454,496,869,201,506,681,356,116,294,303,942,840,611,096,967,424,
967,524,340,265,883,405,355,316,173,481,612,158,543,935,962,543,214,079,380,
485,113,906,795,438,795,167,771,472,202,905,482,980,774,375,804,499,440,122,
720,371,673,028,703,755,023,244,647,276,526,315,151,441,310,303,494,526,409,
323,522,842,958,704,676,287,249,231,364,437,420,814,077,913,337,257,892,346,
588,732,419,116,436,868,926,719,567,836,482,008,103,922,923,729,375,167,580,
467,782,910,545,913,613,727,642,111,426,994,938,899,120,064,673,042,782,230,
415,338,797,605,178,871,805,209,037,472,823,863,938,137,855,744,655,887,453,
648,409,567,494,268,033,531,678,303,752,190,578,126,987,501,451,021,642,851,
920,011,041,839,669,448,928,305,240,628,877,603,523,335,965,744,711,134,152,
597,072,381,988,467,030,570,448,848,568,410,663,521,651,221,380,224,851,164,
672,582,395,984,502,629,390,033,414,045,830,923,151,710,493,972,727,480,072,
801,628,480,425,881,579,596,099,123,736,220,281,483,222,563,455,874,052,840,
169,498,920,909,264,111,605,254,099,339,663,906,789,810,536,079,799,136,587,
913,665,519,151,996,947,943,040,073,124,449,510,099,803,674,541,211,723,379,
109,238,295,091,286,519,787,759,408,706,050,023,458,141,578,943,986,768,112,
824,633,073,208,146,768,570,001,537,598,612,305,161,888,787,652,362,114,425,
945,554,502,867,231,559,512,428,783,564,601,891,955,958,964,898,927,821,110,
266,312,917,646,260,956,346,139,133,675,716,331,919,986,144,649,332,759,655,
045,045,418,322,857,020,444,079,344,811,976,736,895,193,009,558,258,150,171,
512,108,818,928,630,346,535,052,095,074,514,074,477,674,590,123,126,330,721,
812,723,852,717,795,508,547,977,700,109,946,073,818,229,612,767,691,523,331,
918,730,108,363,311,556,439,998,750,587,671,985,087,035,517,695,352,996,293,
354,048,411,506,105,704,461,687,975,180,984,477,481,083,565,736,131,988,764,
773,546,873,616,644,996,153,645,331,445,531,722,392,170,169,105,778,421,675,
653,111,923,349,530,897,248,481,235,291,944,886,647,773,932,383,515,998,540,
926,433,780,155,558,009,382,673,271,285,571,993,241,896,656,178,793,639,183,
786,294,162,380,401,854,459,488,966,397,053,756,637,148,002,045,191,507,557,
100,794,100,928,483,132,652,984,245,102,548,699,410,974,914,148,371,493,811,
905,656,013,798,527,798,880,552,348,521,041,023,162,237,222,674,618,700,000,
718,053,798,466,585,480,702,447,380,404,369,255,055,617,967,784,605,082,180,
549,087,905,462,005,604,928,350,296,946,774,179,555,756,547,536,114,980,996,
614,429,008,421,282,359,863,474,397,450,303,045,921,681,813,249,018,876,499,
013,688,134,689,574,781,261,007,292,454,297,850,342,515,890,185,903,813,306,
091,489,269,102,011,509,871,968,068,807,001,341,941,074,220,142,403,609,761,
318,244,184,476,793,742,260,259,899,975,804,968,949,522,519,836,188,684,120,
307,902,212,461,697,279,289,673,831,097,103,245,430,845,951,848,843,063,848,
053,723,764,426,141,608,434,794,588,292,625,526,372,588,345,298,154,863,072,
035,563,983,319,537,423,191,957,137,609,935,169,515,272,960,439,134,129,218,
444,892,887,344,214,511,486,180,859,802,085,343,647,648,200,626,753,278,678,
199,828,035,908,560,166,802,859,901,823,458,812,077,851,483,214,900,800,283,
062,041,521,086,406,105,998,759,862,361,924,052,058,622,633,283,814,289,653,
408,688,099,549,701,876,626,123,337,639,389,280,282,146,758,155,020,716,133,
335,877,683,251,499,692,345,949,759,189,025,349,451,653,502,485,332,750,095,
340,104,797,814,569,944,939,081,188,683,748,348,431,128,711,540,771,861,691,
328,581,226,259,585,479,881,468,922,906,554,382,255,422,670,227,742,109,703,
991,926,222,262,783,964,764,289,379,087,959,927,191,701,600,847,975,820,386,
719,916,256,581,389,295,393,424,107,329,962,744,621,068,593,174,602,490,648,
392,009,021,179,449,210,645,816,020,972,527,504,332,980,267,869,425,259,537,
856,587,625,845,230,495,577,008,332,212,344,781,237,082,644,081,446,990,828,
406,491,951,859,811,985,453,461,807,872,004,497,845,813,167,224,051,636,838,
641,638,281,476,936,597,450,868,492,644,743,238,024,557,539,176,131,378,336,
790,423,032,847,905,533,965,668,347,321,094,444,515,789,412,369,868,541,103,
739,662,570,161,252,051,849,215,590,842,880,732,263,414,890,672,262,670,935,
178,144,944,557,769,013,170,972,676,950,184,467,212,102,943,679,607,355,240,
148,948,662,633,523,321,622,986,743,726,965,506,425,756,139,128,704,829,710,
290,623,752,646,306,734,457,257,803,260,932,799,436,155,841,409,359,028,991,
810,896,498,189,391,679,917,278,920,921,164,045,364,315,328,154,554,337,270,
606,314,604,943,944,272,082,825,152,972,389,513,231,707,710,455,813,991,847,
791,822,502,293,156,849,684,497,791,499,070,567,494,627,936,330,337,714,051,
705,850,241,300,599,292,744,372,807,851,947,179,949,994,636,065,880,512,881,
911,618,407,233,092,519,706,903,734,016,439,420,786,293,487,466,758,306,534,
658,991,286,959,376,875,876,337,509,338,494,603,974,032,791,153,777,125,629,
925,242,646,881,672,988,150,465,039,846,219,852,419,937,347,656,926,214,797,
481,904,098,158,313,847,826,524,501,884,449,972,192,007,647,845,043,689,004,
263,118,287,538,850,169,182,780,328,410,918,190,293,439,713,401,198,087,985,
749,352,701,446,655,953,131,316,487,641,259,919,106,138,585,935,171,972,956,
197,807,915,224,431,663,947,024,848,935,485,206,847,315,599,804,246,397,008,
246,438,423,180,894,106,924,340,632,111,109,927,292,078,865,188,610,004,885,
264,703,834,849,710,504,615,464,744,901,942,530,172,705,638,274,010,571,644,
123,875,694,632,517,411,877,460,739,942,601,272,541,619,859,074,177,796,174,
420,773,430,037,041,649,534,645,947,035,744,193,149,624,096,891,106,406,617,
830,625,153,182,873,927,047,349,092,529,399,296,484,363,153,618,647,292,554,
692,230,518,429,614,032,532,655,610,607,948,671,608,080,361,165,460,019,043,
274,841,517,876,528,115,325,479,409,383,672,290,268,682,360,046,765,506,422,
717,018,320,247,716,598,785,102,456,334,483,746,586,661,295,626,230,020,621,
784,026,860,801,239,985,769,382,177,464,155,637,214,381,072,577,608,081,451,
009,990,740,161,654,637,911,467,793,860,515,898,290,582,163,907,032,879,131,
152,966,908,585,063,039,573,359,415,863,322,174,337,869,756,869,750,136,526,
816,569,385,530,633,554,551,704,011,504,438,163,874,446,137,675,561,993,385,
609,823,113,484,516,919,490,292,695,757,409,107,054,822,186,263,049,594,638,
833,763,234,549,294,839,982,429,502,165,577,553,625,991,795,616,776,531,376,
615,689,486,734,241,821,171,553,223,313,881,110,359,259,221,526,944,353,893,
811,075,254,276,512,179,355,283,235,489,420,251,647,438,913,131,082,682,713,
966,538,997,300,183,517,045,909,311,304,400,888,628,749,248,878,576,655,191,
938,693,472,421,400,924,732,912,472,225,048,208,278,570,767,805,935,325,745,
653,032,075,554,390,187,238,871,035,357,892,259,296,056,812,788,134,583,189,
311,518,635,427,567,791,631,534,967,642,866,704,051,852,582,086,430,442,228,
312,675,346,200,473,088,138,946,082,457,467,625,541,589,403,410,660,744,868,
904,315,267,765,661,811,138,059,520,814,200,737,607,895,726,028,550,733,194,
741,742,683,188,915,601,250,532,429,567,036,953,937,466,502,028,717,273,350,
664,905,909,743,710,971,964,273,748,805,628,605,291,776,510,653,099,426,780,
273,670,756,834,768,167,528,352,368,071,146,564,850,778,511,415,141,094,476,
115,163,623,458,475,820,425,954,495,027,955,350,069,119,325,936,578,009,884,
318,485,434,618,682,466,283,525,711,324,405,705,597,755,362,244,682,778,382,
684,989,324,200,347,609,617,943,411,415,045,374,051,160,414,420,481,219,238,
949,193,072,983,612,676,279,969,506,779,349,104,102,487,111,386,702,086,518,
351,045,059,696,907,113,374,880,841,034,079,544,955,430,295,933,375,777,371,
249,215,100,326,656,533,568,017,333,953,171,085,682,694,714,057,396,300,624,
713,018,997,071,308,122,148,249,240,471,088,193,586,271,465,215,308,433,756,
972,883,933,639,735,768,761,380,161,633,535,531,304,901,635,616,503,867,289,
165,754,541,265,398,506,552,060,463,278,910,357,934,839,417,888,000,986,555,
927,782,840,474,209,956,992,505,823,876,592,413,703,941,318,234,873,222,930,
349,500,247,423,193,421,560,421,434,170,343,395,737,380,502,487,573,434,874,
649,278,233,912,690,403,224,783,596,153,739,426,126,913,798,898,960,827,629,
152,757,767,066,317,186,095,776,750,066,325,697,655,791,216,038,750,481,182,
130,797,710,260,144,941,533,355,812,359,764,202,382,686,303,201,247,411,077,
571,285,329,813,127,642,235,991,917,159,760,347,420,088,196,667,219,831,792,
313,865,178,196,996,393,176,383,782,047,149,923,369,676,275,450,077,844,612,
883,096,415,842,354,915,424,482,562,497,213,099,877,132,269,456,015,706,851,
956,223,097,773,576,093,394,751,251,005,168,536,630,360,637,743,391,622,492,
030,820,446,279,563,217,236,350,548,820,061,912,252,231,414,527,648,716,035,
711,981,396,089,080,156,644,374,475,203,470,684,668,876,085,945,081,664,300,
719,340,391,203,899,806,678,364,397,935,815,701,171,224,250,337,318,014,681,
271,048,013,139,699,874,576,644,773,950,023,782,777,452,720,208,550,890,927,
635,057,047,724,556,061,046,843,124,864,295,164,149,322,110,523,728,200,935,
501,940,260,934,092,015,092,855,727,070,734,377,436,997,833,035,374,760,260,
342,586,934,708,091,370,990,975,744,150,167,667,518,836,230,234,355,697,588,
127,147,626,810,661,332,198,849,193,328,403,534,852,303,901,882,421,261,664,
046,011,443,254,541,468,217,065,444,802,623,249,825,713,241,889,033,736,693,
577,640,480,156,548,779,497,856,400,850,891,623,972,634,822,894,005,370,116,
468,398,377,325,894,504,332,826,262,884,904,463,798,407,796,718,109,890,718,
389,229,403,956,927,355,538,238,961,764,807,065,273,456,752,820,408,862,877,
800,630,429,739,982,854,100,402,001,860,690,248,227,277,544,844,049,606,604,
875,560,817,751,177,148,003,660,546,456,863,046,899,522,586,586,549,598,555,
275,447,468,967,945,184,474,388,335,245,393,103,065,942,849,788,175,936,027,
191,185,917,067,705,714,798,349,405,364,285,910,343,580,536,675,318,796,872,
897,113,330,771,432,339,375,519,394,993,797,668,991,703,627,069,544,680,773,
443,772,758,133,585,356,505,347,791,826,643,643,510,023,253,773,709,790,974,
539,094,998,761,948,156,866,203,392,976,848,830,018,142,500,143,780,701,956,
681,952,014,314,501,868,158,483,911,693,390,254,252,207,671,230,464,915,022,
661,283,397,051,923,460,746,681,097,914,880,021,518,083,504,579,605,319,279,
989,302,655,204,665,009,983,377,604,611,680,377,685,924,884,734,472,863,584,
853,337,207,137,786,825,817,502,159,039,593,311,751,939,497,330,405,223,360,
136,322,030,116,695,948,661,836,241,950,574,279,603,661,704,295,894,390,054,
170,897,580,829,516,332,972,493,805,641,656,957,621,671,776,827,715,691,353,
905,552,198,777,884,146,594,603,414,922,822,872,454,318,091,342,894,113,520,
721,585,593,834,600,366,988,822,968,227,491,857,464,673,215,369,750,376,962,
446,284,232,660,189,528,424,905,883,948,145,049,441,329,668,590,953,837,528,
377,399,931,831,839,649,115,651,296,490,950,952,351,694,909,284,168,327,667,
666,049,202,331,341,378,614,099,756,988,446,740,606,371,401,324,537,193,878,
639,139,765,998,669,287,316,696,142,115,705,583,410,689,743,923,981,780,775,
822,096,717,768,400,904,415,114,941,617,581,663,477,983,786,758,062,985,473,
231,839,259,524,734,258,311,714,461,789,903,777,151,471,904,326,638,900,413,
862,086,914,374,254,054,887,612,861,484,874,518,896,191,885,381,192,526,981,
714,695,996,555,865,549,602,776,118,421,534,569,499,527,700,908,167,311,083,
553,620,586,938,758,029,282,980,573,853,766,000,830,121,359,924,085,328,570,
185,013,367,850,458,962,434,677,412,104,808,039,189,189,799,375,308,561,293,
893,092,099,246,571,209,348,631,566,583,933,750,133,514,548,972,526,585,437,
561,260,351,553,710,354,141,999,925,495,957,954,824,412,238,123,481,858,817,
549,037,354,971,299,487,045,901,933,113,450,953,914,931,075,104,011,868,022,
251,780,000,548,988,380,641,237,725,009,738,359,569,063,192,223,089,572,904,
696,234,218,440,306,363,285,501,354,764,060,240,282,291,627,668,973,454,043,
194,715,572,024,834,200,966,708,848,009,096,478,944,975,448,057,299,404,213,
656,233,274,982,815,036,518,118,665,776,038,631,472,988,829,388,735,372,225,
524,662,046,893,814,903,494,481,719,140,335,134,068,875,475,075,864,828,621,
843,919,720,167,971,197,004,987,466,583,286,290,658,944,616,834,341,644,950,
212,349,426,290,059,858,965,186,653,464,266,157,327,208,390,699,507,580,896,
241,414,994,889,641,866,575,303,922,359,521,776,688,113,831,140,796,377,348,
770,642,177,160,884,932,251,056,193,800,891,694,723,622,270,398,819,406,333,
554,235,940,677,996,769,548,586,877,747,195,936,236,073,735,958,798,994,946,
018,194,670,647,859,634,292,833,749,612,385,737,116,594,819,457,036,598,685,
390,786,355,979,482,847,699,004,894,313,436,180,098,994,824,761,594,962,551,
994,707,926,100,803,283,566,899,399,112,826,440,849,893,636,029,092,848,174,
123,040,389,934,717,086,745,680,456,339,980,103,551,711,258,846,355,374,302,
364,934,045,388,213,905,832,195,828,027,238,169,059,827,577,006,528,885,210,
516,507,677,525,441,151,890,083,378,558,425,357,344,200,366,875,086,227,811,
453,331,443,940,380,943,159,685,226,943,070,565,619,362,935,436,450,745,660,
839,968,064,332,597,416,991,809,469,811,920,485,425,526,067,200,404,585,600,
886,749,949,767,749,784,508,392,207,818,527,398,909,819,774,188,093,408,867,
231,976,053,765,197,037,844,653,987,555,768,742,935,152,770,361,962,930,855,
381,376,125,680,263,829,696,008,859,007,336,444,378,591,406,217,900,333,754,
550,631,805,316,305,509,274,055,342,351,021,123,923,510,615,918,642,699,108,
111,732,324,809,572,081,760,178,905,844,574,706,110,235,517,060,030,710,839,
606,085,933,682,222,567,073,769,608,077,098,667,646,536,307,101,663,603,344,
874,524,135,156,090,624,069,434,373,116,523,147,374,211,419,501,391,694,537,
069,990,269,942,320,598,585,705,741,662,137,180,152,614,317,736,735,374,067,
043,652,939,834,948,826,424,933,113,358,147,090,746,749,088,490,267,763,881,
102,819,478,135,762,053,076,176,858,910,343,574,869,053,566,046,909,583,851,
791,037,853,195,994,772,613,759,727,916,260,257,784,493,684,800,992,199,739,
355,585,743,561,420,507,522,831,330,098,876,997,795,509,889,876,456,665,599,
262,711,307,959,261,869,315,407,183,923,165,904,412,608,585,988,487,567,984,
731,390,433,682,570,863,330,011,406,818,202,251,295,636,828,024,490,658,507,
994,693,546,963,682,379,834,552,682,700,879,916,102,462,594,430,602,346,282,
906,864,201,515,062,803,431,677,732,248,790,135,007,944,255,032,858,346,432,
281,760,936,750,599,313,644,432,066,897,446,881,638,978,100,700,556,500,925,
384,254,306,463,972,781,150,354,666,966,398,447,353,469,528,074,978,170,061,
529,808,020,654,429,895,669,515,942,772,835,506,587,724,357,402,669,370,640,
929,146,806,445,113,412,410,661,068,720,026,739,456,007,432,039,594,930,592,
993,289,378,196,894,656,476,025,579,511,030,716,287,984,966,668,792,618,120,
715,981,315,232,309,971,838,650,567,748,297,732,591,610,135,621,780,660,984,
642,149,505,344,676,210,006,409,976,978,100,605,339,484,086,735,901,818,755,
838,294,763,542,092,257,611,401,401,897,351,232,982,613,592,384,978,085,134,
609,125,413,448,150,389,792,156,180,395,541,480,005,405,527,993,908,887,810,
665,376,111,532,621,736,133,420,088,962,726,617,768,663,411,166,463,570,301,
949,646,261,778,831,139,784,305,889,544,961,001,474,521,464,982,418,954,923,
063,653,629,722,075,891,189,801,096,378,812,694,352,472,768,149,470,879,376,
958,150,975,277,222,679,422,725,652,685,452,094,581,335,030,260,969,217,489,
400,395,475,992,387,015,021,644,326,666,361,282,695,265,494,956,366,863,373,
857,880,862,773,440,330,596,006,739,431,285,784,700,581,239,799,993,142,045,
765,990,190,197,130,294,461,602,489,594,079,633,442,960,763,751,265,132,141,
624,416,772,924,418,871,917,422,874,877,145,628,646,769,384,874,476,141,561,
484,810,654,497,920,255,748,892,913,378,455,641,350,445,702,154,758,614,067,
450,742,789,724,874,908,881,895,206,731,583,943,360,356,627,735,036,328,218,
367,790,596,982,400,744,457,768,849,794,439,936,138,643,150,382,292,482,030,
373,620,263,951,368,060,357,108,420,220,858,181,755,869,011,160,725,269,486,
448,470,711,795,842,154,997,587,824,419,502,518,752,063,623,727,812,568,791,
738,844,730,704,741,307,237,790,056,725,882,399,898,985,358,666,614,513,461,
937,610,382,810,437,792,352,650,401,396,341,401,374,995,280,172,520,671,630,
296,881,340,885,518,283,060,456,872,827,848,221,731,687,648,248,688,419,637,
509,793,798,292,516,466,091,068,266,564,312,933,204,288,935,125,745,195,911,
197,420,285,602,521,788,011,430,859,842,746,817,255,496,032,101,564,794,669,
029,909,096,949,825,171,933,741,359,962,078,471,602,667,344,101,268,619,452,
958,591,736,435,088,991,703,680,935,249,169,915,036,907,954,987,020,925,050,
247,801,518,829,796,109,041,263,526,144,555,875,311,481,426,198,050,060,554,
237,101,554,904,550,398,718,242,723,861,701,341,753,200,982,694,869,799,313,
128,998,952,582,004,974,640,760,906,904,030,433,866,649,562,997,027,956,374,
410,009,063,081,282,058,074,360,203,850,018,309,743,144,177,448,281,532,679,
754,818,121,977,201,581,148,161,991,170,150,346,896,256,338,914,487,981,281,
286,913,171,070,245,487,549,954,737,691,746,527,642,835,761,620,976,896,747,
302,791,847,788,334,492,012,231,926,962,407,032,326,273,658,023,418,230,326,
323,904,958,153,665,233,623,036,939,612,269,804,918,481,383,307,765,970,130,
265,304,800,294,535,425,125,886,578,178,400,824,406,215,938,884,831,292,356,
500,722,525,977,482,849,968,575,642,253,448,969,681,307,690,855,977,152,258,
536,197,820,531,897,701,950,664,729,914,229,954,974,864,686,444,689,142,610,
741,821,357,947,296,698,425,663,249,774,966,404,938,880,220,443,009,286,204,
401,612,233,050,164,732,481,093,554,662,302,076,392,493,077,898,672,832,682,
096,883,313,970,895,959,938,009,052,299,138,038,315,120,869,681,338,607,114,
682,251,289,216,675,878,319,077,151,950,678,621,108,290,775,282,493,557,510,
246,067,815,177,476,006,404,686,388,933,851,148,223,368,269,114,279,297,644,
343,262,447,336,485,529,600,971,238,320,469,227,486,476,537,748,210,293,409,
030,385,056,567,186,594,946,308,498,856,989,815,297,663,347,773,317,661,101,
236,444,599,058,176,474,615,368,154,195,898,125,422,486,589,824,193,916,713,
698,077,069,309,458,621,674,185,499,589,374,849,363,944,628,098,734,823,380,
498,033,811,121,881,028,372,914,339,147,275,770,659,220,795,897,605,029,967,
570,649,859,811,547,981,320,694,969,255,085,569,257,167,319,012,685,126,930,
049,867,242,990,071,709,760,871,336,558,557,799,320,002,960,008,717,405,839,
060,862,080,598,905,040,727,177,970,466,102,847,693,461,250,691,483,205,776,
486,788,707,052,914,750,255,082,162,055,181,504,652,723,571,889,320,296,819,
503,923,373,300,714,711,863,635,676,799,801,321,400,557,855,904,682,557,047,
671,553,907,129,047,585,096,716,571,732,618,001,684,099,489,503,122,324,426,
433,944,398,664,275,847,310,320,892,530,416,940,517,245,395,016,491,487,692,
757,722,323,732,740,694,495,983,153,672,708,826,422,314,939,985,263,877,802,
580,852,342,992,949,497,661,171,105,111,540,768,900,820,654,879,463,493,188,
856,027,146,570,279,902,445,690,838,916,416,754,218,441,926,820,305,432,804,
935,596,891,270,382,252,219,862,766,075,834,693,475,310,756,337,209,693,522,
793,229,093,499,018,217,382,775,160,577,433,372,046,813,302,204,811,194,866,
204,087,508,745,407,283,549,586,898,110,740,797,076,478,802,874,730,315,546,
318,622,586,129,703,380,979,360,711,054,475,987,047,162,266,559,995,683,942,
746,087,342,894,159,943,841,353,860,407,336,112,490,968,658,228,779,462,492,
896,064,870,247,758,668,244,487,577,829,031,167,236,807,368,797,590,537,060,
797,378,321,233,013,201,748,887,165,471,169,409,435,917,023,709,676,684,504,
079,982,171,739,881,184,991,095,214,105,840,569,904,733,125,644,532,779,384,
245,386,788,293,811,151,696,387,704,586,212,557,242,832,696,531,997,620,687,
072,315,317,228,476,156,979,879,054,662,805,940,084,259,340,752,673,140,876,
014,490,025,839,738,330,178,598,789,381,437,936,631,958,298,918,494,259,415,
441,114,518,758,641,742,452,191,109,362,032,225,894,000,769,719,498,755,125,
601,611,837,712,626,723,519,036,732,466,018,744,901,771,849,786,245,424,315,
326,499,844,171,061,998,990,629,386,959,456,901,262,122,048,591,253,201,405,
059,531,210,933,775,958,202,706,674,336,115,767,752,611,763,203,400,841,831,
550,828,294,076,953,648,521,689,152,874,526,487,038,333,639,183,070,310,890,
517,505,403,303,218,254,687,335,150,262,743,638,014,703,339,204,152,324,633,
591,897,422,680,311,032,330,255,227,226,158,372,993,302,207,798,090,047,345,
128,588,634,051,001,230,352,222,980,951,016,476,741,570,341,330,140,544,220,
493,786,740,883,481,403,815,997,345,758,616,283,229,766,941,961,993,251,244,
168,799,287,027,014,483,541,498,963,241,227,610,470,957,879,259,723,999,352,
513,967,214,632,627,783,817,291,804,987,662,677,802,614,701,284,126,224,878,
634,855,775,993,446,060,488,739,551,005,514,783,077,172,145,201,294,838,768,
710,945,649,417,555,427,594,397,096,722,006,557,617,836,258,246,478,487,938,
791,029,698,994,400,131,198,250,877,326,867,700,798,636,156,460,285,007,318,
099,056,818,133,883,622,959,535,430,011,899,848,875,995,870,523,366,184,099,
643,107,743,647,763,680,079,904,209,149,737,170,515,967,754,536,730,341,515,
015,971,111,885,515,648,556,109,771,308,558,547,449,669,646,532,552,716,945,
196,378,722,769,500,593,540,876,309,983,545,579,878,078,186,974,543,060,765,
969,686,063,484,007,398,061,936,446,374,239,204,643,541,799,493,940,198,884,
595,028,561,639,972,271,046,797,324,602,098,512,473,582,528,186,653,131,215,
675,039,637,278,790,055,175,263,947,678,138,881,816,959,181,624,209,779,521,
941,627,987,036,599,745,330,498,600,957,971,815,765,350,824,584,863,173,533,
941,439,934,021,980,827,200,650,033,568,804,623,074,197,322,656,799,713,386,
490,549,810,652,641,827,668,545,207,640,638,184,773,486,808,595,600,565,245,
605,764,694,898,327,377,588,252,362,924,435,564,103,659,617,480,408,724,088,
970,463,513,039,641,679,291,926,564,345,441,978,816,016,147,701,467,059,677,
316,827,940,592,183,730,891,799,998,868,772,384,197,775,063,760,044,561,047,
344,536,409,262,199,002,352,808,524,897,064,544,029,998,427,841,116,397,901,
293,158,193,714,139,077,786,769,518,382,951,820,706,385,749,458,172,539,198,
102,058,277,845,247,655,532,988,809,454,645,955,229,727,314,511,673,916,931,
858,040,549,339,102,443,882,538,399,984,634,707,503,867,365,308,019,325,679,
235,978,849,329,818,173,986,286,892,512,600,262,851,280,996,526,550,661,612,
442,607,277,196,468,453,172,159,330,991,617,332,238,884,210,208,720,108,545,
449,393,469,628,917,038,964,962,200,778,792,205,300,996,443,821,898,329,679,
015,931,660,236,927,614,311,072,758,118,780,509,764,146,262,318,537,224,280,
235,758,037,307,948,489,428,365,681,091,253,234,299,974,275,426,802,563,758,
394,528,444,298,949,409,126,405,201,793,519,184,331,148,663,154,308,275,256,
464,552,965,403,007,315,939,569,472,412,315,866,111,028,302,034,605,164,375,
589,273,384,230,069,223,817,312,074,634,879,175,431,332,400,367,351,406,684,
591,871,008,674,009,202,613,799,259,843,169,255,424,829,456,714,825,687,709,
889,494,601,629,865,035,112,870,534,699,064,032,204,519,079,270,173,534,968,
554,437,147,802,335,404,753,901,793,680,672,514,429,658,922,055,571,434,346,
044,709,835,715,241,521,190,922,884,028,433,198,962,796,186,394,816,058,665,
248,171,690,890,473,239,386,812,333,860,666,337,898,361,701,650,825,262,718,
011,290,645,945,961,274,876,041,354,850,724,681,988,883,096,646,432,636,419,
632,593,184,617,674,167,748,132,163,167,994,628,949,057,620,788,736,525,162,
342,165,109,880,475,295,393,811,768,518,507,713,045,061,756,649,859,280,491,
194,470,453,957,040,087,026,411,224,380,541,669,750,163,527,020,089,938,497,
569,809,744,223,569,518,961,789,509,713,666,553,496,840,296,189,632,498,987,
540,013,962,527,315,300,978,769,637,269,640,433,835,945,586,108,483,731,100,
441,595,434,902,787,367,495,195,532,939,163,897,107,597,972,130,644,202,293,
683,924,766,042,811,419,191,112,267,388,251,736,818,061,631,663,835,842,368,
301,640,905,565,650,209,217,499,474,696,980,165,855,522,640,919,320,742,694,
475,951,548,998,876,930,479,582,466,223,004,498,403,334,839,422,682,313,414,
951,376,450,923,663,927,899,606,397,409,153,380,316,831,351,365,707,880,320,
511,659,473,924,041,429,445,511,597,551,521,611,692,754,551,812,361,070,167,
591,007,452,155,393,610,355,527,386,116,690,024,812,691,998,646,467,263,805,
609,683,862,263,844,103,562,779,757,245,000,642,655,568,755,224,420,056,860,
414,812,681,685,572,855,791,258,198,613,827,721,737,937,407,514,633,623,571,
938,650,006,060,228,191,278,082,816,355,920,750,997,690,591,948,704,430,138,
235,532,473,216,273,273,151,926,396,147,100,111,440,327,313,885,268,129,814,
011,888,327,495,318,580,216,603,740,125,246,167,936,721,382,521,006,703,708,
910,926,231,044,682,633,562,161,171,397,407,249,562,950,523,042,374,041,356,
276,888,467,956,103,365,535,128,361,161,912,040,031,578,268,490,318,191,607,
477,832,160,692,451,747,552,895,776,085,069,019,120,161,957,055,251,497,908,
323,960,453,861,442,771,415,846,449,145,736,196,424,013,330,495,559,654,950,
715,647,422,544,981,659,644,269,179,583,079,684,840,249,481,697,654,039,485,
618,423,025,144,383,403,473,989,753,806,589,716,870,758,344,651,036,598,147,
566,313,252,982,686,992,675,451,911,965,590,704,250,393,586,145,984,494,222,
679,383,848,282,687,682,974,781,483,576,150,688,069,267,086,169,855,981,407,
429,903,710,662,123,416,497,694,527,245,442,664,443,773,320,253,602,820,309,
299,232,298,850,702,545,133,784,644,244,447,540,036,727,126,870,061,774,006,
648,765,167,151,669,116,476,139,864,447,758,329,926,086,210,665,450,796,432,
181,295,225,321,591,910,917,638,493,102,915,343,918,618,176,221,147,850,905,
156,295,355,730,398,355,372,610,293,248,452,813,518,115,281,042,581,880,184,
419,994,219,179,584,127,230,960,877,929,379,937,303,875,368,865,571,816,754,
744,176,836,132,827,445,095,022,610,252,150,960,804,604,191,786,854,733,982,
244,559,308,382,522,029,560,804,388,063,903,387,799,890,455,549,376,239,206,
559,450,527,511,443,736,414,863,331,691,490,569,884,845,106,661,702,991,458,
035,043,488,430,435,546,310,387,183,186,047,018,446,134,962,573,639,556,256,
632,052,286,715,869,060,744,895,109,345,541,160,255,694,916,278,553,014,573,
543,541,564,623,808,845,823,073,661,245,903,285,911,787,513,838,445,411,373,
824,839,290,732,856,926,709,064,898,831,530,818,379,211,844,914,229,514,457,
555,178,070,878,252,452,119,544,264,814,601,355,941,162,447,324,790,214,778,
796,348,666,733,445,209,302,373,793,220,228,884,308,520,469,378,048,077,376,
115,959,038,212,939,977,322,604,268,659,656,138,250,766,172,592,971,767,736,
269,608,791,587,149,061,623,773,036,138,929,134,612,111,513,525,312,149,457,
784,955,350,591,410,365,061,618,540,774,828,122,028,331,988,008,161,403,448,
137,458,447,161,024,707,855,962,183,541,381,816,171,159,616,927,979,938,340,
314,317,838,225,898,790,964,874,055,077,477,323,823,753,558,331,168,638,059,
203,706,072,739,532,121,863,384,492,610,752,507,065,732,642,198,832,262,361,
698,322,660,548,414,367,707,101,395,656,893,793,894,920,827,765,332,604,894,
514,793,300,970,977,266,502,571,239,676,128,375,144,873,757,290,779,478,457,
662,491,240,849,990,894,729,158,210,637,861,487,371,765,806,200,362,775,669,
506,368,442,035,013,839,621,530,730,983,793,199,786,392,365,145,112,258,606,
515,396,401,494,465,820,040,806,927,648,217,542,646,111,577,457,723,528,771,
111,046,175,420,523,430,624,052,051,221,984,121,742,386,917,385,718,300,008,
406,671,935,170,736,066,416,486,169,321,127,611,814,290,074,587,626,584,087,
274,938,590,528,070,578,902,047,009,721,626,516,384,871,520,314,349,880,350,
422,537,484,249,856,775,091,292,387,012,248,000,167,640,817,010,202,801,710,
370,463,475,197,928,299,660,475,305,708,763,020,727,335,891,968,337,365,792,
115,723,606,382,665,371,739,815,425,120,081,729,585,234,842,184,662,537,732,
683,276,412,788,697,613,480,599,842,635,869,662,442,239,177,290,460,013,665,
475,139,147,439,751,087,455,262,796,343,960,460,828,880,999,347,295,427,079,
484,558,533,714,803,069,764,378,755,847,558,429,674,730,141,583,492,837,159,
422,186,086,458,102,715,253,810,587,686,268,188,171,775,949,674,571,407,890,
965,916,318,858,823,156,526,790,523,255,258,914,314,904,888,186,734,720,262,
208,044,554,833,994,872,633,311,081,664,002,061,190,372,000,185,599,048,110,
981,571,965,316,693,550,591,170,443,649,833,963,551,229,878,459,842,709,659,
193,453,273,008,853,544,509,327,529,355,077,440,382,585,895,855,667,364,508,
417,459,462,795,368,216,010,257,415,882,926,347,916,380,414,684,069,186,074,
454,019,680,411,339,481,533,332,916,899,764,296,046,168,083,635,316,959,547,
495,913,024,952,940,601,052,622,640,580,675,726,793,206,152,147,164,437,652,
299,425,772,505,785,066,193,026,111,518,928,436,050,697,240,105,563,878,476,
639,545,986,283,880,601,151,563,690,843,735,597,222,522,280,180,201,228,674,
537,910,659,152,679,121,892,491,701,054,328,405,488,494,894,981,594,004,196,
635,519,992,053,145,483,488,444,166,117,066,001,091,631,545,789,163,474,958,
780,982,691,664,892,586,936,425,066,037,889,920,036,269,703,538,971,693,704,
676,204,625,434,434,240,509,717,581,948,202,325,628,220,064,807,526,884,692,
099,842,736,025,675,362,590,605,310,877,446,092,990,827,958,406,851,517,226,
031,618,016,161,343,431,642,307,208,465,630,605,832,456,701,364,695,152,154,
209,785,722,490,704,029,119,539,656,133,111,730,624,244,865,162,939,288,003,
627,608,728,206,696,804,888,179,735,868,239,263,804,371,363,384,949,670,888,
447,472,704,595,492,387,272,641,219,259,679,387,306,315,269,905,013,514,637,
446,217,059,596,924,169,121,662,245,481,938,538,749,433,381,666,742,901,488,
218,488,749,714,684,876,608,240,669,496,645,361,459,555,600,080,699,924,635,
045,219,752,237,496,822,963,766,847,848,867,740,208,801,231,687,511,258,526,
775,583,235,627,228,682,294,535,881,852,749,240,493,260,010,090,869,536,379,
147,456,585,345,266,575,288,056,154,853,094,478,996,334,117,613,205,873,793,
323,645,437,086,420,090,997,944,990,631,679,487,726,995,334,729,916,933,875,
116,043,238,415,232,449,759,327,618,518,563,875,110,118,028,539,251,829,746,
922,529,466,348,454,593,813,591,963,404,796,193,852,341,252,759,141,827,431,
771,571,101,988,140,997,394,259,207,489,505,996,687,157,069,052,770,956,832,
804,765,778,798,759,025,179,337,008,382,280,495,114,931,751,948,203,707,494,
335,527,562,277,418,836,945,851,571,920,684,309,917,661,421,847,716,777,712,
300,708,704,762,815,892,416,701,141,696,091,312,066,033,914,188,621,585,435,
050,145,866,053,601,558,582,779,317,322,769,348,401,997,312,841,418,151,843,
752,279,352,654,448,298,359,108,596,951,493,505,549,209,431,148,088,367,740,
898,242,715,459,356,463,619,255,410,428,670,352,671,235,050,018,006,898,880,
055,878,654,149,790,830,526,114,269,336,446,295,355,513,907,458,373,643,561,
705,476,994,107,535,686,082,793,731,955,932,352,835,329,265,615,818,651,853,
630,642,427,298,527,987,585,235,620,762,931,814,495,349,525,930,865,915,764,
773,341,176,616,377,433,638,503,548,466,595,644,815,572,202,850,043,426,631,
053,000,321,314,858,726,695,627,226,181,295,840,807,840,398,960,831,988,087,
439,990,246,823,626,969,144,274,991,243,902,237,206,708,391,335,243,276,655,
604,115,415,709,726,879,669,816,640,535,708,074,712,705,363,917,199,826,626,
650,790,069,351,126,854,813,614,428,498,846,171,301,971,764,535,407,334,316,
890,307,250,929,884,724,289,713,859,819,251,833,240,497,341,685,481,551,580,
614,395,504,618,082,791,744,793,616,492,636,690,427,031,455,022,218,786,304,
465,723,408,484,178,306,124,430,559,030,697,059,603,069,878,992,466,758,608,
520,284,086,585,923,286,897,583,453,031,217,663,722,697,065,721,405,910,286,
849,063,622,793,728,572,058,687,603,802,464,018,439,813,525,615,032,090,024,
224,989,363,754,062,047,665,888,245,962,962,135,254,087,094,081,188,679,972,
461,708,077,235,661,271,824,082,332,317,928,721,001,233,344,182,974,846,397,
244,183,003,160,193,235,738,847,716,616,930,129,793,174,681,009,673,126,085,
957,968,664,411,723,104,518,652,965,053,193,675,546,011,164,641,678,173,048,
714,515,799,535,544,939,328,401,944,248,152,978,053,211,138,048,266,538,764,
499,303,687,851,862,278,181,092,534,491,059,893,357,999,240,631,473,108,566,
508,886,407,985,047,615,386,751,852,721,183,092,018,725,914,762,828,282,721,
518,320,994,662,066,767,694,896,339,058,518,221,924,059,872,934,301,739,500,
064,954,925,856,176,922,127,770,985,669,356,417,774,391,948,415,389,090,274,
802,100,311,352,908,150,982,401,871,840,511,597,393,767,651,329,020,177,060,
381,313,455,028,633,790,802,099,301,925,196,845,556,548,667,682,188,757,534,
125,749,667,779,275,791,399,276,583,994,196,803,648,112,145,268,430,746,046,
207,495,612,150,521,590,652,993,386,806,819,126,759,041,222,550,590,036,389,
172,360,523,792,222,577,838,227,927,398,429,886,116,304,964,751,511,059,103,
160,409,077,385,809,702,412,722,512,224,701,668,154,230,963,156,564,748,111,
027,404,991,580,475,406,626,694,688,035,113,235,420,133,632,076,053,188,102,
183,722,148,095,482,882,284,043,584,733,507,353,701,563,060,365,839,800,201,
157,380,150,641,056,523,163,023,661,635,458,812,414,210,397,448,422,222,777,
976,879,672,759,333,878,253,533,058,073,361,742,967,289,194,570,249,592,773,
892,344,774,342,229,516,605,158,028,820,667,159,821,792,564,212,067,325,039,
642,327,704,654,720,654,533,328,832,653,682,499,512,717,837,079,965,494,566,
100,183,585,429,165,887,187,708,482,708,896,102,315,974,242,413,905,095,328,
726,319,406,714,604,471,299,747,499,237,839,860,385,194,328,113,545,232,567,
478,142,799,231,307,885,975,283,992,489,112,893,273,792,543,075,382,699,881,
091,337,331,342,371,420,036,894,178,652,490,264,899,642,423,669,044,364,537,
885,494,043,573,915,388,826,052,669,808,095,449,906,485,674,029,897,888,334,
067,008,017,087,521,674,860,776,629,359,127,560,818,258,545,325,919,365,109,
729,131,032,190,010,704,966,295,858,349,903,118,529,478,087,540,007,526,304,
229,395,617,046,256,846,526,156,420,988,600,821,748,429,020,288,576,661,645,
926,369,323,091,982,102,596,522,148,043,688,472,468,562,342,902,872,921,184,
125,480,776,114,910,750,574,794,611,732,607,618,451,305,675,656,683,800,111,
424,779,454,683,424,892,810,842,043,821,408,794,343,340,727,217,012,623,413,
090,133,756,369,091,384,922,716,048,821,778,261,242,680,575,899,277,931,358,
677,335,498,272,908,792,908,989,669,193,541,198,510,685,552,616,152,271,780,
163,575,980,614,620,239,737,245,565,657,780,005,555,584,993,546,505,298,154,
235,466,452,223,032,267,199,300,080,559,190,967,940,373,234,452,524,060,087,
924,534,072,088,228,357,563,980,752,390,474,017,944,079,322,167,901,593,190,
929,222,461,803,883,930,876,979,913,743,204,070,678,504,288,272,427,229,555,
487,538,990,841,681,055,004,066,687,603,521,359,699,076,973,867,208,480,614,
093,899,370,914,006,693,434,699,783,015,403,408,098,290,378,518,439,247,087,
931,755,957,743,271,445,559,362,055,652,753,477,098,813,781,556,773,424,340,
954,197,236,858,124,335,014,543,231,728,044,433,401,185,309,620,131,965,729,
953,957,431,704,652,218,107,420,148,464,988,602,101,646,612,724,813,287,888,
330,060,013,558,494,426,606,450,832,726,103,784,697,889,456,238,217,151,309,
825,954,184,420,726,580,531,672,650,721,323,606,069,930,666,654,664,615,621,
940,171,034,065,143,691,295,630,925,392,340,353,141,301,182,493,930,461,321,
360,281,712,067,154,549,032,826,802,036,075,642,869,150,088,137,509,162,864,
133,076,530,627,064,937,089,445,947,813,983,953,010,159,854,342,609,869,009,
506,296,937,822,415,753,750,443,140,797,135,692,029,829,385,593,888,488,709,
485,373,684,823,593,746,693,120,203,087,042,055,783,580,590,103,809,689,068,
275,680,694,539,025,419,495,429,711,931,437,493,715,405,046,546,175,167,984,
873,449,038,021,763,978,964,015,022,195,466,848,267,018,986,267,033,898,484,
857,013,067,954,919,355,963,910,028,825,015,047,357,893,661,822,474,414,462,
822,177,438,581,136,668,567,682,998,867,253,149,228,208,338,974,958,380,621,
397,328,986,579,701,289,320,347,139,977,975,547,677,004,419,148,724,007,686,
222,894,287,495,802,582,096,538,833,789,604,633,749,549,417,469,458,717,662,
162,842,462,797,011,592,428,260,950,720,218,767,009,260,434,147,356,107,330,
356,651,415,871,434,720,950,197,803,353,074,872,305,664,252,778,447,695,963,
665,256,475,583,000,608,435,169,016,306,397,674,444,267,177,162,159,695,779,
669,360,033,706,169,603,806,460,154,044,235,533,491,571,047,877,941,840,098,
393,827,569,789,301,446,136,997,323,093,430,607,639,110,020,986,731,716,927,
364,411,545,444,379,184,343,826,669,443,222,488,161,493,520,348,132,925,873,
447,679,502,650,037,777,392,092,150,145,681,350,421,701,634,181,679,534,801,
378,248,482,805,338,067,409,863,804,112,427,750,077,872,954,132,684,162,572,
988,945,810,145,850,092,449,396,688,092,921,994,793,995,233,334,646,590,392,
128,490,443,404,590,045,440,642,461,178,104,691,369,825,426,846,569,965,656,
364,734,868,690,980,617,849,375,295,683,555,738,563,109,710,387,914,772,850,
806,694,451,980,734,676,580,009,025,242,501,385,731,417,953,848,363,405,355,
877,290,473,576,657,387,790,985,531,984,162,006,534,466,350,212,473,404,068,
296,845,409,295,522,528,831,829,422,309,465,652,405,400,605,224,410,645,612,
221,924,258,998,062,247,366,462,091,656,882,863,209,467,116,475,540,977,616,
558,159,432,902,183,015,196,178,216,013,231,789,369,451,384,285,607,797,963,
002,967,010,329,662,477,784,432,595,533,592,040,890,477,472,315,064,008,892,
301,030,075,521,787,989,236,339,855,657,285,063,255,551,297,215,712,998,481,
129,729,953,607,307,215,821,067,404,178,918,021,858,785,652,379,173,681,644,
430,121,914,101,532,777,047,000,796,883,415,368,313,114,576,685,672,345,773,
397,718,218,529,702,165,209,150,333,094,672,506,835,170,679,908,759,062,974,
670,556,908,808,056,706,102,371,019,443,285,708,940,429,861,398,177,360,423,
626,251,500,182,381,771,223,586,059,513,507,981,868,279,088,807,272,076,972,
399,646,226,146,458,354,956,776,505,714,186,587,321,457,449,978,406,411,612,
281,365,086,033,789,292,284,624,476,951,427,663,791,301,329,326,705,101,187,
492,747,923,087,047,999,586,333,410,638,158,932,833,034,851,889,763,348,848,
206,178,611,160,550,483,225,193,542,381,385,685,007,031,953,749,529,633,126,
870,734,229,702,831,290,353,048,945,954,517,598,656,705,760,824,396,361,786,
383,742,403,793,292,219,004,261,696,420,428,687,310,088,911,550,736,420,577,
566,029,781,410,974,018,295,577,742,878,161,247,700,258,962,325,661,307,277,
325,973,802,361,680,275,453,162,267,710,449,258,233,715,066,663,179,137,387,
758,354,864,176,646,654,289,408,602,801,104,242,979,530,764,426,939,431,008,
526,773,979,537,578,298,802,214,064,940,821,109,282,773,169,963,072,253,397,
235,719,683,766,293,034,099,242,236,875,924,367,747,632,917,399,128,838,810,
955,615,822,762,477,408,934,995,247,705,583,981,031,581,500,209,075,281,838,
030,263,614,866,871,885,263,271,550,212,900,992,465,986,081,085,173,644,304,
904,794,696,689,850,400,393,098,316,532,795,730,262,698,444,932,436,234,055,
900,444,675,987,030,750,843,884,943,923,893,650,071,241,740,404,808,690,157,
056,144,702,803,334,044,413,520,347,143,099,134,720,692,869,890,988,892,666,
795,787,356,112,896,119,788,855,525,268,364,592,918,342,038,312,907,839,671,
276,985,278,546,018,769,458,730,222,835,316,112,365,989,674,123,220,595,017,
564,411,515,117,261,491,299,522,371,456,737,239,053,902,820,346,534,088,712,
199,844,674,012,531,418,782,711,674,107,014,936,372,816,452,829,700,152,014,
556,958,618,343,314,490,137,913,118,375,733,173,210,606,303,780,234,845,212,
280,652,373,026,526,676,335,572,143,988,441,018,709,550,728,676,467,359,349,
930,997,067,765,200,792,778,246,514,884,931,675,212,885,141,187,295,789,415,
358,150,497,331,006,859,346,018,610,998,878,133,795,321,539,692,439,034,049,
368,568,189,200,935,936,329,943,713,628,080,388,561,044,271,833,683,010,685,
518,067,192,765,887,331,440,178,226,382,857,672,837,943,376,584,749,007,458,
575,315,204,836,896,882,776,753,342,839,695,126,285,034,872,650,413,166,108,
742,145,029,568,788,748,769,166,493,798,588,133,868,178,702,451,656,793,066,
468,678,083,957,652,269,494,158,884,103,588,601,661,631,616,947,307,092,315,
163,083,245,059,244,973,462,766,523,806,743,570,891,273,389,304,782,199,794,
896,917,053,777,757,704,684,140,933,086,867,201,041,890,977,217,998,117,428,
264,176,819,517,705,429,002,509,071,643,018,053,660,057,817,109,899,537,755,
890,379,370,445,446,893,195,363,029,165,256,831,000,563,551,702,094,851,115,
312,098,379,326,291,281,492,415,640,831,279,912,022,557,063,267,600,449,764,
905,610,511,012,958,505,303,498,838,294,019,377,276,887,255,222,648,729,081,
571,943,109,682,677,293,128,901,005,242,827,950,130,531,757,718,560,255,583,
551,239,956,776,589,392,778,882,506,535,671,446,799,341,432,066,223,941,472,
111,048,733,128,702,031,401,262,780,159,858,291,301,680,950,594,659,101,718,
361,015,502,159,346,896,010,496,774,775,230,795,872,347,940,083,160,019,124,
607,609,764,328,815,892,123,637,558,182,529,886,474,152,837,958,749,860,428,
960,449,929,989,583,212,108,656,433,084,865,280,783,690,634,419,234,739,143,
726,735,137,950,881,276,747,231,206,371,173,869,072,597,846,628,725,632,877,
318,701,230,552,481,011,378,476,018,681,448,167,759,176,140,158,180,884,400,
945,331,014,115,102,862,179,456,651,171,901,817,978,712,552,704,273,727,847,
119,176,114,593,849,057,180,526,792,132,692,161,420,105,611,286,605,357,265,
567,574,849,024,209,781,997,137,036,712,972,666,237,694,812,694,664,655,476,
093,785,624,073,270,731,171,997,823,733,950,775,198,892,478,713,766,772,478,
304,907,632,478,061,879,563,380,206,670,454,394,059,175,635,007,722,703,209,
752,537,684,503,361,241,771,781,614,104,210,707,545,344,174,778,086,597,267,
906,155,630,565,854,785,278,511,194,739,909,789,957,036,255,548,449,945,773,
563,285,963,839,577,606,944,661,803,734,161,525,537,805,601,390,538,380,217,
285,129,903,144,513,750,571,137,649,564,509,434,840,311,444,018,082,761,770,
319,426,149,983,005,929,775,719,401,983,144,881,409,430,834,693,855,762,019,
584,896,800,334,436,880,558,575,753,770,612,195,498,757,860,499,272,434,279,
805,351,171,065,562,844,662,992,564,007,291,751,291,408,227,814,931,472,867,
939,110,604,023,804,193,974,895,580,225,159,354,680,610,358,280,495,242,884,
025,486,006,008,269,447,633,080,865,436,992,169,097,274,258,110,628,552,424,
033,111,315,578,712,422,919,989,686,169,364,149,424,835,173,813,400,359,605,
327,022,500,181,269,629,953,806,070,307,023,593,797,963,662,647,031,158,841,
522,516,188,289,700,076,209,798,911,572,452,980,976,446,687,595,713,143,555,
751,308,912,988,658,998,348,770,285,397,583,427,317,477,543,115,357,096,008,
859,810,351,762,397,488,429,453,588,025,276,186,815,994,305,838,889,137,206,
128,800,525,691,818,249,181,961,881,357,427,086,972,956,556,686,971,579,239,
686,763,733,513,294,164,772,178,600,887,809,536,848,790,958,750,538,230,602,
800,051,038,694,873,846,246,332,923,103,153,202,581,377,807,691,442,914,324,
327,524,874,625,421,821,536,465,161,743,520,600,796,984,352,173,271,873,316,
902,102,884,424,398,449,559,061,764,932,251,649,614,382,800,644,440,386,203,
856,910,732,826,767,888,943,690,691,411,187,487,147,711,187,476,934,222,733,
704,994,151,177,663,255,332,977,664,187,026,597,060,361,062,609,080,257,658,
046,164,283,049,008,505,057,382,247,323,753,350,405,235,823,615,175,342,203,
447,784,046,566,880,417,786,084,240,755,231,543,285,145,976,396,079,289,064,
053,556,760,526,841,182,785,166,213,821,003,338,813,340,099,327,949,106,897,
578,878,238,807,877,620,392,401,306,931,070,115,258,784,316,767,241,398,618,
599,877,745,953,540,298,211,709,377,363,604,230,542,048,103,664,627,062,961,
979,590,069,602,571,555,913,646,899,119,394,550,456,407,637,397,507,685,684,
511,250,495,056,750,413,028,018,596,460,263,051,105,053,532,110,634,519,337,
978,718,918,362,650,182,839,492,730,749,444,688,161,687,760,708,741,039,374,
031,916,167,936,220,387,282,651,983,629,533,899,509,624,384,046,196,642,640,
964,808,903,378,618,800,819,474,141,261,733,120,108,399,031,963,368,418,764,
557,688,491,851,391,408,416,254,662,333,221,066,359,048,892,130,737,628,604,
461,769,693,221,058,539,218,487,040,456,467,955,971,415,162,893,577,363,155,
898,056,772,916,710,205,135,833,569,422,287,791,775,755,950,050,154,563,328,
143,940,583,270,413,293,837,858,216,287,361,986,020,793,526,273,307,788,908,
381,569,892,238,366,916,508,089,924,054,711,262,831,138,867,556,814,379,714,
990,137,311,872,157,530,583,737,535,421,738,620,071,350,854,190,869,912,821,
263,794,650,352,510,505,360,125,033,920,732,755,330,250,828,535,016,484,697,
244,678,642,415,073,713,111,694,673,033,803,550,811,131,054,578,523,796,788,
632,071,005,820,101,245,173,376,327,854,026,266,445,039,654,940,066,554,330,
400,330,247,689,205,050,727,397,823,902,354,665,944,315,361,054,301,635,583,
350,048,816,414,142,494,032,359,862,864,636,749,480,901,084,241,907,923,773,
719,422,133,559,809,596,585,080,204,110,105,465,020,856,827,483,019,184,609,
363,874,370,065,568,205,303,417,476,823,455,369,336,558,226,460,789,160,907,
501,201,358,077,066,641,663,655,795,255,745,774,857,485,890,493,201,978,547,
762,341,542,181,999,834,789,793,469,597,563,488,481,166,453,161,109,464,929,
351,548,981,780,469,739,295,547,799,495,672,536,278,030,547,672,631,248,077,
867,992,529,391,910,943,969,386,802,573,219,250,162,861,615,279,946,214,590,
039,182,880,465,364,323,489,150,425,011,066,050,757,136,405,675,976,337,727,
208,818,108,382,807,273,350,430,692,373,203,498,720,983,829,946,357,492,726,
918,686,968,240,397,830,214,796,153,378,448,835,922,312,080,893,072,628,669,
865,004,142,294,516,428,030,172,350,222,603,738,845,628,108,563,335,519,719,
776,049,083,882,177,383,196,429,835,520,847,279,605,955,868,053,289,548,768,
069,372,245,415,459,041,643,512,838,106,547,103,498,348,819,925,440,537,028,
858,291,911,207,894,430,790,111,838,883,240,168,976,718,423,021,581,997,494,
825,284,505,361,441,656,676,512,873,841,786,075,658,155,326,517,960,790,289,
942,808,171,675,596,486,763,470,096,416,825,801,527,464,304,099,646,348,130,
578,358,761,545,726,353,588,899,813,718,969,989,279,801,345,429,956,827,448,
416,775,620,231,442,962,852,890,088,746,704,263,293,575,159,801,048,442,271,
600,392,706,289,333,189,297,372,112,769,940,956,028,801,286,723,900,788,944,
032,674,729,422,116,516,538,438,665,047,638,552,876,519,850,966,121,400,067,
088,700,167,886,900,699,210,293,994,833,632,754,950,274,674,476,435,864,742,
563,040,387,770,103,490,064,268,434,226,182,439,622,486,424,500,720,433,171,
772,249,814,591,151,507,619,829,050,601,198,022,497,519,793,964,721,235,547,
908,853,508,811,240,430,887,378,247,674,402,715,023,357,362,489,757,169,881,
838,473,329,473,776,290,186,431,655,719,286,177,215,439,199,854,950,328,909,
973,685,168,088,469,061,183,777,045,842,228,818,561,321,793,056,800,042,126,
569,133,405,234,517,481,877,442,439,106,234,117,978,916,557,675,412,318,748,
690,351,225,422,607,253,622,484,850,348,220,313,161,170,113,485,332,351,716,
490,490,908,661,962,357,555,415,593,649,532,001,775,354,752,167,820,844,384,
556,900,110,816,198,674,364,396,296,245,259,254,623,119,543,475,769,619,589,
646,801,866,137,851,512,360,892,916,697,447,577,096,961,081,291,145,569,479,
076,336,760,777,278,132,916,953,036,600,866,980,068,939,038,149,853,684,095,
172,568,676,633,940,474,665,623,916,265,326,586,962,255,227,322,779,959,856,
040,555,338,768,475,823,955,321,649,945,924,665,648,081,918,663,911,394,309,
196,089,642,014,133,854,178,844,916,600,890,757,553,644,946,368,517,010,081,
129,253,973,933,000,161,039,154,345,699,942,899,073,793,186,221,614,677,965,
088,942,787,737,884,401,505,409,764,826,477,438,410,638,069,039,404,710,301,
563,787,258,502,489,398,140,904,691,658,074,767,029,092,383,978,201,076,306,
346,865,374,843,163,558,400,566,078,112,148,283,119,757,609,113,042,198,015,
803,521,125,559,149,838,243,463,592,816,764,376,574,229,475,790,173,218,182,
408,926,260,069,407,496,353,097,225,704,072,946,808,093,971,698,637,911,203,
274,890,674,171,900,617,454,012,676,181,559,098,786,579,424,602,976,327,499,
704,837,913,348,932,742,502,484,274,505,632,326,661,262,946,433,761,402,475,
348,775,129,913,260,668,058,465,307,048,727,489,324,661,502,160,833,931,175,
378,890,314,781,431,513,066,389,553,903,065,306,760,284,332,664,947,596,778,
324,898,488,749,055,923,192,119,206,354,044,877,371,503,842,327,952,718,767,
313,188,099,294,359,402,704,637,368,924,814,596,610,446,498,640,245,785,459,
379,045,304,832,831,478,539,390,864,694,915,098,283,542,987,957,846,662,341,
882,195,512,151,022,899,189,685,627,606,657,189,383,450,292,714,046,141,815,
475,046,046,098,929,272,659,399,418,291,352,550,532,361,666,747,337,013,031,
198,630,818,290,472,246,615,152,490,956,382,827,613,749,435,722,283,966,997,
888,788,263,800,932,628,336,332,161,510,660,558,700,396,101,283,403,746,790,
871,268,301,590,157,675,717,022,058,301,826,650,434,270,310,487,840,698,538,
668,560,211,824,847,786,355,968,178,646,170,166,366,749,902,568,776,305,943,
868,687,655,941,138,103,968,169,674,440,327,818,487,808,196,224,544,371,790,
216,726,200,021,537,938,223,173,286,797,976,641,627,554,527,219,316,822,878,
209,070,844,021,063,693,894,171,593,687,917,619,613,220,281,740,777,257,964,
204,934,720,447,614,311,778,533,631,386,213,567,762,818,434,051,514,722,436,
013,415,249,626,997,874,098,050,831,133,420,332,684,166,394,472,200,445,313,
338,487,776,450,769,033,044,306,032,295,587,482,049,730,460,309,501,090,576,
764,969,029,869,381,659,730,597,703,599,176,140,023,474,848,251,158,204,275,
226,213,681,824,846,221,249,841,217,601,424,201,956,522,549,049,189,037,598,
217,195,600,855,301,849,147,371,199,013,047,167,532,978,718,805,432,598,251,
547,592,233,400,697,877,102,773,563,861,774,347,103,445,399,123,668,673,814,
453,871,122,450,546,065,918,337,234,787,805,692,209,897,192,148,203,733,674,
782,006,418,922,476,606,161,390,598,068,868,213,309,415,056,324,568,649,303,
225,247,034,107,051,497,504,327,298,116,637,195,262,111,970,695,118,887,762,
004,544,984,253,191,641,295,854,100,841,750,664,072,566,164,899,758,658,950,
666,790,500,548,860,730,561,106,271,041,938,790,044,883,434,444,535,851,010,
507,271,951,513,158,689,834,444,533,570,065,919,341,540,767,063,656,594,656,
284,482,425,001,039,932,794,285,643,698,080,348,419,680,905,077,489,503,592,
609,222,865,141,621,036,619,887,494,204,963,110,143,024,830,953,401,687,735,
388,370,118,063,409,353,508,863,202,961,567,720,115,613,000,275,631,802,413,
621,454,692,080,313,396,021,788,262,862,823,853,191,888,741,516,739,360,738,
604,031,451,010,470,732,883,531,338,338,223,408,553,961,432,033,139,862,293,
650,204,406,441,081,772,733,274,863,402,773,440,459,192,790,949,283,764,541,
791,404,975,967,685,198,506,150,491,838,971,308,024,661,061,260,400,417,623,
263,278,038,963,320,943,690,762,720,653,597,588,966,374,852,161,883,023,812,
272,009,142,124,864,291,632,034,715,010,117,403,006,523,519,126,579,661,569,
142,992,729,236,539,840,641,318,383,040,884,754,544,132,189,652,777,069,169,
108,855,319,130,215,717,047,981,390,181,028,375,025,108,206,349,028,879,969,
513,730,695,935,285,998,957,035,459,359,064,342,374,377,633,626,955,685,342,
522,154,612,061,289,914,318,106,698,322,925,507,123,077,109,044,604,548,772,
127,220,392,202,191,942,974,065,169,885,798,902,150,976,691,132,574,203,005,
791,758,028,020,861,017,150,145,545,103,957,042,872,268,798,121,465,948,831,
546,424,752,754,659,453,460,102,189,595,093,610,707,868,879,855,196,624,851,
449,840,644,168,294,417,215,531,034,409,077,096,106,854,127,623,635,729,361,
352,132,344,523,651,599,021,136,578,690,954,110,948,628,551,523,175,106,832,
886,481,144,480,223,011,314,877,296,228,905,011,083,625,959,576,490,062,946,
792,486,974,238,371,171,837,526,505,989,478,121,095,548,804,373,732,463,685,
188,236,271,820,953,711,131,206,955,502,542,770,892,847,802,300,604,804,690,
793,444,119,521,194,579,186,189,608,736,819,932,499,244,910,780,040,054,306,
697,849,005,608,854,406,279,640,824,426,516,680,379,835,967,880,666,312,820,
574,306,081,571,830,661,337,374,664,895,749,982,384,815,987,833,769,659,268,
546,025,310,536,585,475,932,141,134,833,787,778,269,855,283,529,337,962,488,
583,890,750,496,707,664,998,028,537,895,190,875,921,069,834,433,838,154,845,
848,524,515,730,597,201,101,567,572,592,106,952,976,596,468,024,274,782,400,
606,198,641,042,193,784,070,946,674,242,608,188,859,884,552,872,013,468,235,
671,623,956,907,895,857,011,142,772,380,478,266,706,437,626,019,636,934,609,
098,346,263,379,497,280,649,416,478,588,956,675,189,488,611,643,830,713,131,
106,936,544,437,367,184,257,273,585,463,733,829,743,330,831,244,045,909,175,
178,609,378,733,823,794,317,510,950,586,545,345,400,471,456,311,359,134,423,
411,041,355,111,149,374,917,938,162,192,553,143,141,560,971,489,369,857,383,
053,505,725,689,113,373,568,602,736,267,091,781,302,276,863,403,978,877,321,
959,536,244,035,286,060,371,824,206,051,032,079,456,994,745,187,201,461,101,
801,559,741,790,368,654,424,668,350,748,551,545,727,485,128,139,870,798,721,
965,419,671,253,976,537,798,513,432,353,160,020,876,766,822,504,159,706,510,
995,955,667,218,354,241,957,228,866,235,346,281,737,465,890,159,625,576,252,
229,917,307,007,783,149,602,469,745,271,251,909,439,151,604,438,915,628,923,
241,357,852,931,859,497,932,447,522,922,872,745,608,369,234,475,593,195,428,
101,309,285,213,193,481,241,889,295,345,800,204,055,351,494,845,693,900,819,
158,408,686,316,683,293,301,651,801,051,252,605,974,135,545,237,700,753,125,
949,510,213,556,034,459,691,903,942,139,466,439,733,855,584,558,720,346,947,
622,944,017,814,302,163,388,452,831,494,291,892,437,230,907,667,091,892,575,
136,997,562,061,466,996,583,052,620,315,414,943,388,776,776,567,327,326,992,
178,287,540,374,894,489,985,728,452,184,065,808,023,717,914,007,055,154,253,
917,874,663,005,205,488,088,728,451,447,682,548,069,597,903,521,672,627,302,
421,848,296,008,014,676,231,084,314,558,267,229,724,939,999,041,360,695,938,
322,155,088,037,449,872,163,330,438,875,489,071,184,825,137,095,654,901,049,
615,473,053,360,992,933,620,774,287,824,043,128,576,045,922,350,296,858,560,
007,400,508,848,129,432,502,269,335,416,538,617,648,092,346,844,471,516,706,
612,325,626,752,267,045,913,183,631,923,313,421,742,815,123,579,585,909,656,
701,516,022,450,105,268,218,365,240,489,563,822,958,577,328,735,213,483,990,
590,714,162,608,170,471,636,827,423,741,943,946,361,050,877,744,233,023,165,
820,952,276,009,573,828,808,171,399,134,352,856,433,723,786,094,389,760,781,
603,100,845,969,190,326,259,217,690,850,312,250,891,657,376,446,820,726,989,
891,864,043,833,077,895,589,189,363,617,591,660,308,945,684,888,116,885,167,
972,339,021,958,045,743,980,488,205,899,052,771,938,422,050,902,936,941,685,
047,115,495,351,232,575,942,003,500,093,373,062,142,455,142,362,326,228,149,
482,696,694,741,276,284,981,357,003,939,266,568,512,081,671,008,986,574,013,
301,190,266,719,713,454,416,968,316,359,135,652,157,581,711,939,729,433,660,
114,756,591,626,012,984,144,132,249,839,477,568,701,841,019,853,508,139,049,
813,749,569,150,055,894,553,516,176,809,923,636,852,315,389,446,170,462,581,
353,875,899,774,165,970,351,447,537,215,983,715,964,116,241,798,498,281,135,
067,859,246,755,054,087,531,124,697,035,321,920,545,585,719,547,526,971,197,
647,103,803,252,369,885,404,854,714,936,089,828,263,071,024,226,021,288,340,
883,457,331,809,986,875,709,691,853,981,840,880,307,242,243,878,136,741,644,
548,117,093,071,359,461,760,457,484,371,143,620,799,749,429,867,760,642,398,
504,022,176,147,965,491,088,383,391,670,561,670,841,815,904,418,522,400,222,
691,665,519,121,839,227,647,269,847,809,833,206,520,616,336,859,652,309,179,
498,371,298,098,012,016,627,550,003,134,387,963,399,124,629,165,306,998,057,
397,810,377,148,048,586,235,956,452,775,925,001,628,886,588,598,576,022,300,
666,538,615,419,222,095,871,421,568,375,163,478,258,107,625,541,039,026,051,
598,630,904,103,123,648,224,780,922,484,363,533,203,108,390,369,732,774,345,
377,375,559,891,230,945,400,711,247,945,590,907,177,179,085,476,383,782,756,
784,757,496,968,789,365,105,116,318,965,042,770,239,578,140,906,843,834,285,
087,845,268,233,796,294,970,155,523,174,144,479,714,298,590,295,198,552,162,
317,102,240,216,835,131,213,078,184,930,160,498,656,657,432,807,777,866,253,
961,078,140,066,107,531,225,993,806,978,743,510,768,153,940,950,296,605,214,
095,159,360,801,441,503,072,467,146,765,963,032,527,173,387,450,537,211,786,
579,266,247,782,981,914,895,810,489,141,045,091,322,629,774,436,299,675,382,
953,163,950,408,568,778,711,101,637,573,487,021,021,083,077,940,567,675,911,
540,529,451,077,755,010,427,357,417,117,644,798,047,616,743,480,304,787,304,
500,701,929,360,285,870,750,675,125,818,342,171,362,187,829,395,619,711,093,
389,496,542,091,639,106,919,203,694,354,434,933,180,213,118,458,682,682,276,
099,535,629,066,186,257,607,091,168,724,827,253,231,966,338,134,295,774,874,
656,619,423,592,111,770,201,825,610,354,526,527,535,355,654,164,983,561,522,
678,948,163,375,858,389,612,151,884,014,524,959,153,031,607,837,458,573,608,
846,887,069,109,555,003,496,037,130,013,978,285,984,082,421,645,143,864,697,
640,035,947,705,420,487,646,970,543,590,600,280,169,018,812,123,764,267,413,
397,871,177,671,702,197,343,644,183,570,671,642,391,140,509,983,532,829,743,
000,945,182,653,232,819,657,913,158,518,630,757,125,184,020,570,617,291,587,
545,512,562,192,678,833,039,545,461,046,628,625,372,389,796,477,518,027,261,
589,398,348,348,148,559,106,023,059,105,743,918,660,538,307,200,709,229,902,
705,258,858,932,831,822,423,964,233,920,106,108,926,868,281,846,698,970,088,
714,249,046,706,310,384,837,132,311,016,049,231,656,181,507,435,302,962,841,
202,737,465,779,270,349,948,159,290,889,714,785,406,517,854,150,037,753,170,
764,830,059,770,449,118,640,050,243,744,530,417,728,156,153,911,705,782,372,
535,965,335,345,409,118,528,088,838,576,048,536,878,807,259,962,775,968,045,
028,641,856,842,576,778,608,459,562,166,871,532,669,940,493,164,730,277,474,
837,190,025,902,969,421,120,685,368,995,209,845,719,777,532,113,071,043,418,
847,300,108,683,216,903,133,699,781,039,687,394,718,871,603,821,208,457,621,
055,805,050,995,427,644,040,847,479,525,085,520,285,144,126,511,287,544,062,
968,550,123,017,244,694,551,665,212,208,292,411,356,637,343,447,441,558,711,
740,749,585,126,963,845,569,980,007,226,811,557,580,270,562,265,304,672,272,
301,209,824,282,396,687,692,765,586,681,927,766,584,303,903,446,541,818,128,
163,824,809,916,595,628,402,070,449,890,785,014,328,396,096,783,495,262,831,
847,915,853,456,833,886,139,672,733,661,173,612,457,765,479,179,886,739,846,
683,904,868,572,036,858,982,776,859,236,907,145,012,621,493,663,919,786,849,
078,136,342,320,470,174,899,555,067,439,171,644,599,223,664,393,355,119,023,
561,987,461,017,735,046,832,041,483,095,713,494,322,939,903,823,255,839,415,
624,394,775,606,243,944,186,229,090,994,538,616,314,289,797,493,033,831,292,
715,113,288,060,920,474,441,113,928,562,768,757,081,299,586,223,122,868,748,
041,785,806,250,174,524,203,131,736,710,030,647,518,456,903,934,187,007,246,
684,141,389,068,352,718,592,284,438,310,841,288,885,581,772,287,743,153,913,
002,576,868,119,133,202,985,388,750,132,213,423,014,741,995,529,494,747,920,
085,445,173,222,642,585,312,758,354,446,681,475,749,921,151,905,742,343,000,
809,952,741,733,556,840,433,676,978,609,476,012,644,743,259,987,016,338,448,
211,741,254,560,066,408,783,952,449,163,902,796,624,592,303,103,751,640,872,
654,936,743,649,574,458,760,378,589,160,837,821,714,079,068,986,856,989,103,
452,559,399,006,187,950,367,458,074,743,746,483,573,492,101,121,110,504,384,
480,884,523,906,676,594,945,796,788,088,283,801,356,915,483,995,933,710,680,
704,302,854,917,424,710,102,082,758,630,397,797,277,391,181,940,131,251,209,
651,824,983,818,756,062,354,477,157,241,275,025,358,698,621,704,889,310,385,
740,985,645,935,265,715,645,356,135,779,965,471,397,118,150,542,157,314,457,
361,077,700,537,135,714,809,364,320,193,201,011,220,830,192,178,468,652,645,
155,908,674,238,770,519,433,541,584,065,884,354,207,940,362,142,512,493,742,
922,562,993,519,441,424,818,312,466,541,899,237,171,983,744,413,070,546,898,
234,093,112,030,919,209,267,605,061,701,743,362,606,825,646,690,107,191,863,
175,125,397,068,200,255,762,582,061,414,698,845,383,895,226,177,534,524,848,
522,166,852,393,905,119,504,708,758,662,937,393,222,923,342,834,912,502,955,
772,534,277,107,559,491,912,046,828,177,686,070,799,004,430,484,422,307,722,
545,943,832,023,822,381,419,530,176,130,718,908,851,109,908,199,615,899,619,
900,040,709,641,294,588,780,203,828,177,975,221,241,594,554,047,398,890,317,
384,319,568,986,622,908,566,248,079,747,586,077,267,879,193,732,763,964,576,
749,711,315,496,759,092,754,013,937,679,993,208,255,260,211,454,555,898,215,
831,167,421,358,200,459,105,165,265,049,795,249,653,124,501,280,924,614,239,
917,269,536,374,066,880,158,609,021,603,321,246,476,210,720,316,523,109,436,
725,684,063,738,503,599,936,801,481,999,879,728,216,408,825,154,056,089,298,
745,280,348,745,399,467,588,985,448,995,966,377,883,879,159,893,431,665,212,
064,707,383,079,134,696,480,082,938,228,155,046,058,795,768,122,432,494,926,
453,198,333,778,702,157,910,701,984,935,889,798,052,088,508,761,335,870,418,
769,682,096,358,639,348,379,625,117,702,923,113,669,987,378,345,215,168,963,
941,605,507,964,588,495,349,919,660,614,132,668,844,637,757,224,073,970,700,
106,164,676,354,119,415,513,204,789,300,175,081,325,338,783,220,966,153,937,
760,599,698,703,038,541,994,439,683,244,805,096,852,489,404,824,423,235,208,
098,514,571,050,068,439,619,307,993,813,306,619,464,370,830,056,996,228,233,
016,648,317,414,725,726,966,450,054,261,477,824,222,087,975,447,643,883,750,
812,962,292,185,876,986,764,065,407,663,164,937,987,492,032,672,911,488,087,
928,329,277,647,610,351,179,588,892,861,633,993,241,573,843,131,700,561,507,
018,578,807,954,995,176,694,718,623,862,022,224,013,416,540,488,825,858,108,
380,838,706,701,045,650,711,888,186,163,693,834,432,141,657,522,144,428,233,
522,852,190,022,967,158,308,641,881,272,111,725,291,787,937,752,101,551,062,
831,423,811,823,253,375,864,198,403,526,586,470,883,915,957,637,296,670,155,
949,446,366,930,083,908,423,924,611,307,246,106,292,359,118,912,769,605,609,
689,853,669,289,312,037,053,394,423,830,211,999,910,234,340,973,957,490,836,
670,987,748,504,044,617,561,493,210,822,403,045,708,490,821,831,632,536,374,
659,683,750,199,768,137,328,935,194,465,533,748,216,794,795,732,119,722,562,
585,151,244,863,364,402,522,757,985,367,369,516,466,345,090,486,902,449,080,
318,985,036,712,679,976,785,168,043,514,584,669,709,731,205,520,034,806,710,
700,291,162,245,635,764,208,453,141,428,043,850,643,036,363,361,410,808,009,
251,345,914,840,155,805,802,758,252,352,668,342,841,723,869,563,250,512,223,
452,326,733,094,268,469,963,561,939,330,312,444,626,255,125,555,190,541,856,
951,402,608,124,157,948,974,385,845,181,360,062,499,454,203,623,341,009,327,
402,850,531,002,835,715,176,504,536,766,536,951,757,259,643,339,766,886,603,
525,830,122,312,192,003,379,685,234,210,059,277,702,339,325,990,252,033,480,
451,294,914,878,202,375,130,341,702,443,702,213,325,113,158,099,631,231,682,
693,869,624,119,289,373,368,720,044,986,232,941,655,520,767,676,864,854,599,
327,164,460,353,052,736,523,335,987,869,120,661,784,415,541,556,269,125,507,
846,509,784,563,606,520,619,973,845,034,067,013,208,710,580,087,229,015,836,
718,805,129,869,062,484,874,894,182,639,573,786,510,495,810,051,069,759,245,
715,503,257,079,977,247,142,867,123,003,523,905,857,577,720,120,313,616,883,
894,502,990,061,948,422,574,547,449,234,272,163,424,896,110,126,450,286,566,
135,365,307,566,569,101,376,099,139,564,450,777,216,094,565,381,259,649,696,
105,558,618,157,375,362,911,532,323,838,832,859,457,158,871,176,163,422,794,
600,924,276,001,839,510,960,242,997,153,353,631,497,206,228,547,529,467,982,
837,568,262,421,465,075,864,843,674,400,730,469,732,261,644,686,792,205,033,
670,303,879,473,194,531,548,506,409,787,728,737,635,622,301,263,602,043,879,
375,780,122,087,271,359,791,552,032,900,008,642,424,999,737,758,187,910,911,
155,867,148,823,908,519,353,695,392,566,214,756,214,056,442,647,741,490,585,
430,887,201,706,654,833,443,326,291,311,608,079,299,514,325,016,817,172,288,
609,844,055,392,476,029,835,387,206,086,901,069,321,056,118,004,871,081,233,
023,382,429,084,339,406,046,570,466,869,522,859,549,191,083,703,882,546,319,
521,900,175,917,452,793,937,796,913,962,777,558,521,024,845,627,171,021,128,
868,149,307,960,372,683,749,353,674,031,401,378,715,964,311,717,538,431,015,
800,626,951,330,758,266,255,811,763,280,078,457,643,454,465,310,101,727,546,
241,440,638,767,787,229,396,609,589,092,174,465,187,082,316,973,337,030,388,
516,663,905,158,244,976,531,196,795,848,455,774,433,128,103,254,618,301,311,
207,694,428,865,623,584,433,420,043,964,380,088,769,306,328,270,525,620,345,
620,385,889,229,308,420,791,572,471,481,738,338,916,523,672,908,452,193,859,
031,828,398,318,219,518,745,311,951,577,906,043,887,590,222,684,078,001,069,
817,743,696,775,735,481,101,729,922,861,841,479,388,038,802,642,013,523,120,
603,370,760,197,390,425,422,092,693,479,514,984,106,457,211,108,709,320,909,
195,525,927,427,066,285,208,277,559,176,161,732,081,320,769,399,303,376,774,
770,811,034,043,430,561,733,278,703,897,978,959,066,500,538,653,189,292,201,
191,487,073,716,440,202,410,647,485,388,237,015,716,833,384,384,733,404,970,
920,984,897,164,685,726,332,309,890,152,421,860,579,071,552,875,238,106,761,
428,272,575,066,375,375,941,069,473,345,718,002,398,983,773,678,573,689,161,
048,064,075,442,781,825,564,249,642,054,727,319,358,597,563,285,038,783,062,
155,434,896,046,203,768,401,625,317,680,885,615,158,205,088,433,484,373,076,
330,767,620,673,241,278,579,068,940,516,135,783,043,527,960,431,897,017,355,
830,732,559,761,325,400,317,362,343,321,783,863,968,014,083,002,753,553,084,
176,158,415,215,645,967,432,976,520,580,527,957,767,062,267,330,825,814,466,
015,610,283,272,510,139,157,780,332,576,592,990,316,837,024,810,909,568,734,
388,721,777,272,361,549,026,721,388,085,451,064,082,049,687,530,116,075,672,
170,968,689,655,589,905,846,638,216,847,780,125,239,114,192,624,758,898,202,
624,019,467,503,953,314,191,476,134,764,292,201,515,970,000,905,100,674,165,
304,644,165,664,817,106,678,681,940,049,092,971,302,377,188,580,349,397,388,
239,425,285,825,575,850,637,036,358,726,078,977,061,803,611,475,399,966,394,
240,615,575,488,107,617,346,163,333,974,173,581,589,584,090,283,319,182,548,
534,782,342,088,203,838,290,648,431,967,739,031,374,311,318,691,206,431,484,
985,362,807,635,345,006,821,524,779,953,812,456,270,053,403,241,960,331,460,
196,492,444,670,574,236,378,767,743,187,531,193,265,572,213,556,975,569,822,
952,702,909,140,667,731,622,826,155,526,341,790,467,493,483,759,500,603,654,
170,834,449,941,466,000,433,553,001,911,599,280,886,358,191,220,049,022,226,
369,101,778,428,184,215,302,022,584,375,818,997,577,241,636,011,911,253,505,
827,993,824,768,120,022,526,837,407,186,517,973,518,515,678,819,766,765,495,
233,642,703,127,415,415,993,200,589,438,136,407,627,337,345,387,501,733,027,
278,042,741,470,620,716,801,200,739,637,193,352,826,077,449,777,723,669,113,
294,154,878,328,221,348,481,640,479,840,854,525,664,598,826,281,815,868,335,
659,424,918,396,109,402,839,853,154,548,880,794,818,623,560,537,740,475,192,
969,600,654,813,312,478,406,044,851,538,515,395,376,770,158,147,444,430,482,
546,067,443,875,611,580,458,632,659,699,165,307,567,107,439,654,717,034,035,
993,435,604,447,599,418,231,290,293,641,698,076,080,080,365,505,951,795,328,
397,381,191,210,936,553,279,294,639,681,048,022,793,268,844,567,394,573,634,
059,207,887,453,912,660,419,937,275,450,796,501,892,815,479,956,110,976,856,
229,266,181,042,756,398,467,118,426,633,731,666,014,069,674,848,971,749,286,
855,208,096,081,909,249,445,708,818,097,034,161,968,302,240,123,147,271,795,
585,793,276,531,624,805,637,019,399,750,714,339,273,862,684,416,484,885,448,
099,334,891,686,081,906,757,142,544,271,345,720,857,319,947,396,381,130,967,
316,301,263,969,937,234,929,977,385,029,032,029,316,688,431,785,557,790,156,
884,044,553,602,348,763,567,762,044,626,343,506,591,763,590,708,185,207,085,
113,057,332,161,195,409,315,030,949,567,705,911,932,237,666,421,284,501,900,
432,771,687,047,108,106,657,004,797,116,393,619,429,856,277,395,111,520,964,
575,398,516,038,657,735,329,049,982,889,979,806,876,526,274,885,267,919,118,
543,199,697,662,565,916,744,608,645,601,616,011,636,021,520,821,880,461,952,
881,720,038,947,261,064,749,974,012,087,024,434,460,224,030,670,940,632,266,
038,660,125,874,957,478,134,384,931,850,779,972,258,294,757,064,633,145,604,
685,058,057,296,446,098,184,540,241,599,701,550,024,740,262,590,844,760,904,
218,166,752,473,286,046,724,513,994,079,408,734,007,086,506,079,306,643,273,
196,016,446,991,392,642,395,038,153,261,079,208,845,616,197,736,191,370,101,
784,672,388,754,852,368,063,592,522,338,492,326,053,030,040,297,665,757,108,
778,496,606,201,239,473,932,256,949,004,416,237,818,319,401,094,517,332,682,
192,175,791,749,868,228,682,264,131,362,169,866,599,669,807,066,996,453,371,
212,387,608,758,201,990,521,055,325,664,540,392,501,806,786,807,162,598,762,
744,648,761,364,117,497,358,665,211,868,009,662,532,745,977,332,982,912,579,
514,916,514,358,784,738,144,520,268,888,128,481,989,283,038,526,612,364,062,
240,775,402,327,470,804,975,035,766,210,487,825,460,002,636,407,333,998,329,
059,822,594,489,394,349,104,880,729,970,370,288,123,115,853,096,827,929,208,
018,705,711,122,229,557,866,138,539,950,128,726,030,345,813,799,120,487,218,
927,837,375,570,854,436,886,737,334,094,784,341,927,306,733,299,598,289,215,
749,743,959,945,583,137,493,465,499,104,606,067,427,148,477,870,955,960,556,
177,001,079,291,158,043,088,624,220,228,637,325,883,604,409,851,306,597,643,
973,621,913,598,647,975,300,112,601,238,190,748,616,244,129,073,947,915,862,
938,244,360,933,421,605,613,927,145,615,803,610,167,798,420,470,934,976,120,
235,568,847,655,452,924,738,548,263,255,018,684,234,115,492,035,233,727,754,
024,500,760,285,951,717,808,961,463,713,909,912,907,278,205,917,731,235,252,
812,064,437,594,934,338,297,367,028,302,863,345,194,550,308,831,832,057,034,
622,448,370,785,961,887,461,335,170,912,919,204,182,872,262,576,184,526,079,
623,643,284,968,324,435,365,520,716,744,122,446,465,650,342,135,752,000,424,
307,610,644,863,825,260,368,957,395,649,094,126,024,070,677,069,500,403,974,
924,504,883,719,836,319,474,747,219,997,592,050,839,271,915,792,563,800,429,
323,722,567,778,972,824,233,297,846,273,961,259,209,736,640,966,763,681,223,
994,534,783,590,361,684,044,260,012,792,799,058,333,643,329,809,166,372,629,
963,142,268,419,365,917,518,796,507,984,079,773,374,357,437,289,947,096,858,
623,438,381,194,091,676,506,140,057,375,584,986,946,108,917,438,762,115,917,
674,681,970,316,787,038,442,166,576,250,301,134,986,520,310,603,791,859,328,
602,485,170,179,869,602,975,300,990,012,261,763,549,357,246,175,459,895,449,
699,951,813,224,281,526,388,985,902,068,323,922,009,249,483,022,478,489,857,
558,410,082,358,844,012,429,731,283,434,128,125,584,612,169,850,654,412,954,
494,398,392,026,360,298,918,080,416,041,942,171,080,352,352,597,042,106,541,
585,302,117,283,495,571,060,820,594,007,844,234,838,218,833,052,489,603,889,
224,477,695,314,174,519,924,883,631,235,596,532,411,889,690,136,345,672,081,
789,066,811,696,044,501,993,615,426,774,423,222,562,778,521,211,446,309,081,
309,082,238,482,802,510,775,016,045,528,402,780,918,655,560,170,422,921,155,
157,205,269,623,217,187,366,545,025,158,637,157,993,251,439,593,974,962,204,
057,525,918,990,969,080,233,438,870,067,519,297,535,719,400,224,982,444,998,
033,422,328,727,369,225,116,228,036,596,652,200,635,255,878,632,213,848,498,
991,307,231,413,051,362,454,760,142,509,070,723,757,284,073,441,460,767,444,
364,595,877,566,252,853,164,587,892,088,442,857,854,493,973,876,667,128,415,
677,176,541,427,436,736,348,104,219,419,988,696,383,262,161,294,576,130,294,
044,023,789,091,136,235,007,486,553,900,857,098,221,957,171,872,478,388,785,
097,819,195,932,163,824,750,669,159,432,891,566,451,761,050,981,274,970,862,
730,374,010,758,800,357,553,420,981,419,801,210,231,132,593,686,675,129,355,
998,521,406,775,830,138,313,003,260,303,597,485,450,764,227,879,113,948,007,
974,835,667,699,931,615,516,868,296,543,580,981,716,744,660,951,069,520,057,
197,333,009,426,582,573,927,453,073,962,617,345,618,856,085,474,980,406,875,
865,904,592,628,149,674,300,264,870,269,799,767,642,550,790,994,198,484,001,
936,109,363,721,948,637,101,754,479,662,530,854,361,301,091,606,801,917,173,
034,452,188,843,719,660,350,098,044,095,636,971,683,169,964,463,339,286,285,
405,498,278,006,579,442,902,154,793,697,926,183,786,550,170,591,191,482,661,
225,197,108,742,932,691,603,852,292,300,404,153,165,955,021,817,810,429,359,
719,558,517,378,100,074,302,475,846,748,842,170,960,138,033,010,234,131,155,
247,703,872,302,996,641,648,881,966,477,597,945,850,490,149,649,669,355,652,
586,824,374,256,894,484,713,568,581,919,996,947,837,649,869,383,908,717,711,
036,256,877,566,689,448,456,946,378,862,125,305,598,430,291,626,098,454,288,
401,324,693,977,303,954,026,652,884,802,565,292,600,320,283,200,343,215,974,
103,454,323,279,131,409,528,324,363,979,207,183,347,341,290,920,922,759,891,
639,147,229,194,520,232,640,006,817,947,456,071,415,371,733,919,842,384,691,
157,679,316,410,976,965,800,877,897,331,197,538,047,505,006,438,769,266,345,
442,730,503,370,172,870,120,569,967,988,428,412,435,883,294,119,905,535,733,
631,097,151,377,024,906,270,060,906,680,630,331,533,865,589,229,827,240,647,
540,854,815,742,881,835,124,245,953,281,362,794,172,469,853,865,418,202,924,
149,293,389,986,828,295,200,558,603,243,216,286,960,314,450,626,171,056,185,
823,233,674,379,747,404,816,264,414,061,711,898,626,942,113,910,650,648,980,
229,459,308,877,966,972,182,281,675,407,538,157,251,977,590,214,397,341,050,
234,326,120,810,061,761,753,007,842,446,724,038,564,055,674,458,222,358,731,
954,142,748,544,902,839,235,734,401,740,963,459,292,792,201,327,604,466,730,
652,308,275,066,863,680,158,406,612,919,766,898,394,750,240,582,859,846,728,
046,835,472,961,682,942,268,977,124,664,543,810,048,487,859,950,243,064,348,
475,364,794,594,731,630,448,971,336,153,433,492,780,273,822,073,646,388,895,
094,200,327,505,631,098,986,702,363,525,321,471,688,240,516,876,412,810,412,
792,335,578,824,129,944,655,729,133,733,926,183,938,518,143,888,519,989,316,
782,380,278,512,937,698,226,695,934,248,948,422,105,763,826,900,545,482,863,
917,966,421,054,913,572,273,277,444,425,810,547,116,205,521,793,587,384,761,
688,271,779,360,890,887,024,024,926,194,803,358,653,591,107,606,032,674,827,
789,688,970,873,442,053,803,481,110,432,259,359,000,446,797,644,146,373,318,
755,061,326,274,136,753,241,103,532,667,689,941,195,711,550,728,411,081,343,
857,369,855,648,089,424,830,223,465,637,918,665,657,360,472,655,061,728,754,
180,716,139,393,074,064,804,006,344,444,438,327,992,767,438,884,774,273,620,
741,421,151,322,020,754,058,169,311,886,473,189,978,214,774,210,522,601,404,
327,199,000,059,564,331,031,596,190,652,177,301,253,494,891,940,558,348,800,
932,637,788,768,637,260,229,226,914,449,315,438,630,215,956,407,361,959,298,
286,872,273,424,543,064,338,232,292,669,596,966,975,172,914,498,522,305,345,
646,231,844,737,651,149,018,181,970,050,639,978,490,743,575,829,345,998,842,
775,054,259,911,596,549,739,553,746,440,495,684,317,949,635,620,277,962,360,
308,927,856,566,710,245,170,633,595,400,260,127,998,063,631,187,060,130,181,
686,678,571,117,295,466,201,746,033,660,615,670,309,559,029,082,200,561,487,
416,590,746,312,563,336,310,782,219,592,462,778,590,693,625,336,949,056,242,
274,393,615,787,862,380,494,125,718,666,785,595,834,955,793,233,741,599,573,
210,042,287,437,872,568,434,342,716,208,569,243,601,204,053,195,020,968,391,
039,940,554,874,262,993,625,798,424,824,070,565,696,259,037,396,234,262,209,
493,336,358,040,633,371,517,990,406,996,443,568,705,684,365,642,731,764,680,
471,870,388,357,697,540,150,586,146,454,243,827,863,566,889,333,303,178,731,
458,869,637,320,407,700,131,949,346,074,724,115,898,959,093,669,597,188,978,
915,724,139,948,852,860,418,072,104,281,303,407,054,857,810,298,826,889,546,
861,597,721,471,181,487,058,807,075,288,704,063,660,860,747,194,010,517,271,
215,567,242,305,376,354,757,166,268,724,376,550,820,315,216,613,872,607,825,
386,200,408,987,773,211,235,672,713,895,659,952,008,249,129,012,355,963,756,
483,529,827,960,965,952,198,573,266,764,013,790,730,336,937,508,596,414,510,
605,663,040,041,265,999,201,168,067,339,128,294,814,629,893,093,359,671,570,
473,624,760,883,032,393,364,449,214,223,997,989,067,956,726,423,971,418,296,
539,591,894,398,440,085,605,982,563,350,007,479,833,701,225,068,586,800,921,
884,861,231,983,389,111,145,374,699,712,581,263,496,490,507,080,786,816,242,
816,892,445,645,140,469,524,082,830,173,130,553,820,275,451,205,140,278,605,
659,724,865,956,137,099,957,208,712,793,450,451,666,043,502,565,622,254,208,
330,931,932,431,475,144,427,035,089,410,058,394,556,853,626,873,246,855,245,
788,912,625,339,438,944,253,768,335,760,018,287,379,708,696,147,016,326,408,
148,689,280,863,569,031,797,618,551,385,359,144,816,058,057,178,794,286,455,
596,712,001,838,182,153,231,383,629,357,313,656,531,063,563,273,811,427,043,
048,744,712,401,570,349,155,885,168,456,296,122,087,897,109,617,057,939,664,
220,458,911,666,945,785,484,159,070,591,566,084,729,691,999,207,285,560,572,
719,409,486,152,428,330,580,568,655,897,160,122,184,687,403,097,851,430,613,
275,670,019,620,892,694,503,677,996,779,660,783,110,149,492,401,289,062,405,
249,075,452,436,815,755,222,469,983,811,341,672,201,901,697,479,660,395,397,
055,016,256,418,696,710,528,640,360,148,899,510,371,447,400,071,444,075,459,
879,126,764,205,172,715,780,707,483,545,326,681,757,813,612,597,112,003,872,
536,021,341,603,532,485,657,968,363,816,032,572,755,258,610,196,843,271,752,
970,325,069,621,591,260,263,308,364,816,866,510,030,621,106,243,152,094,827,
576,898,647,204,123,519,277,224,054,437,861,259,865,879,361,913,066,813,476,
592,619,832,002,863,776,376,195,419,981,474,315,510,599,436,598,821,338,135,
150,913,076,706,289,609,436,141,497,104,766,823,864,339,782,530,574,130,264,
044,786,067,205,747,702,984,623,306,621,482,784,910,523,043,453,709,567,251,
348,199,922,085,088,108,109,828,459,963,054,880,756,927,424,925,055,365,830,
197,209,648,536,454,278,204,913,195,364,980,980,627,118,048,961,641,956,105,
659,467,606,540,949,516,862,349,873,276,426,487,544,851,121,031,057,428,792,
055,956,610,703,893,832,324,697,846,703,697,152,294,539,736,631,393,064,749,
652,836,675,083,466,658,003,475,326,285,139,281,973,101,879,330,746,445,861,
072,183,534,431,472,424,290,460,350,793,060,966,823,915,894,270,420,823,250,
769,128,047,896,375,503,185,143,987,472,258,368,138,327,937,678,666,060,434,
213,644,143,939,743,933,633,196,813,845,910,150,194,977,679,820,375,003,322,
536,753,500,126,246,599,723,600,091,470,255,396,401,768,645,365,482,819,146,
701,514,545,118,562,346,543,972,383,839,137,286,886,654,591,507,535,466,100,
912,959,367,418,302,535,931,222,894,040,144,983,011,311,743,224,852,354,966,
452,340,493,168,933,352,422,065,323,481,268,903,354,327,603,769,024,894,838,
530,928,430,882,148,688,412,615,255,948,938,070,186,905,278,092,674,097,513,
027,466,994,003,235,420,487,628,442,232,102,447,012,441,959,680,344,478,239,
456,406,712,423,860,640,841,476,867,688,654,347,349,691,054,535,106,135,014,
387,831,214,336,123,133,346,087,311,371,134,682,486,754,888,931,668,715,804,
340,717,696,175,196,300,271,386,327,439,702,774,244,401,633,161,189,464,060,
877,890,416,542,877,737,868,839,589,130,498,927,176,039,990,704,563,912,967,
456,030,665,406,361,241,076,323,550,652,442,347,857,330,051,448,813,097,554,
448,457,408,377,920,518,156,615,755,650,471,189,126,394,058,706,798,360,407,
005,706,326,654,012,729,468,761,162,443,370,157,131,641,150,003,672,248,905,
361,382,825,017,599,242,905,652,166,963,555,571,300,635,731,066,158,914,511,
011,309,350,508,812,800,256,700,846,113,157,013,563,429,709,685,858,086,359,
485,890,820,684,172,964,748,571,177,301,883,049,393,234,788,930,039,692,492,
155,684,452,675,785,886,932,835,387,146,049,410,098,696,268,190,265,174,263,
274,379,126,197,576,430,808,951,203,097,224,245,500,702,251,929,988,123,189,
463,349,635,312,165,025,120,370,601,813,656,999,197,597,927,961,784,063,884,
111,623,550,257,493,541,382,689,594,304,133,883,872,316,300,303,135,148,420,
121,185,429,025,475,261,253,897,102,974,624,545,415,827,676,106,107,771,461,
858,661,386,387,115,591,458,339,110,637,582,677,307,379,298,516,577,700,145,
667,900,988,989,739,338,702,456,526,250,130,194,532,500,813,878,605,577,736,
899,912,479,786,712,019,581,287,083,766,556,284,375,601,881,376,919,606,356,
705,243,253,068,760,611,405,936,585,294,320,001,931,532,052,051,565,002,151,
983,500,564,152,386,275,811,498,247,425,800,284,702,595,048,720,174,375,224,
982,356,674,150,481,053,799,523,144,579,571,338,050,561,898,994,301,037,295,
793,346,446,714,379,872,881,968,538,508,524,304,292,006,654,440,658,953,425,
141,858,342,897,963,531,583,653,704,248,079,116,464,298,733,011,578,330,870,
981,109,862,312,387,711,871,841,726,618,628,971,710,467,363,864,132,165,939,
370,928,708,660,894,626,194,301,920,815,757,068,281,197,704,326,656,935,935,
140,362,760,871,381,269,805,188,357,633,649,323,688,952,093,816,297,081,947,
068,995,375,861,775,877,606,245,138,404,180,674,990,063,000,572,212,587,117,
862,859,686,635,769,678,054,162,974,200,376,878,597,954,462,561,646,038,765,
273,242,815,724,783,383,288,424,560,486,267,795,632,925,303,784,702,320,044,
608,169,709,287,998,847,323,507,929,542,005,633,241,847,532,944,401,867,857,
597,524,321,302,896,214,981,894,522,330,448,793,341,019,915,069,632,595,400,
269,878,083,388,949,929,355,228,057,265,262,457,372,095,302,588,383,708,044,
108,977,925,895,239,298,708,719,251,162,502,630,566,977,792,641,594,145,126,
302,575,843,926,496,798,477,049,338,696,644,237,588,212,835,192,990,892,784,
547,950,595,754,075,527,702,150,394,807,664,634,230,803,564,261,536,754,254,
289,123,825,750,578,187,705,444,217,040,398,741,179,482,616,886,679,109,102,
294,414,120,809,608,204,726,274,587,571,264,782,073,960,913,093,273,856,223,
633,735,081,888,902,905,570,281,596,506,858,640,277,376,300,691,726,002,910,
129,652,693,001,211,047,324,470,614,502,258,211,381,728,657,547,456,984,318,
558,778,620,712,503,496,038,054,535,517,424,301,862,453,587,801,784,376,003,
460,447,183,321,060,010,734,235,566,967,857,360,036,773,544,239,196,072,698,
989,485,437,629,447,225,714,286,450,366,667,173,322,252,021,373,637,323,609,
185,028,991,473,124,457,928,336,130,999,512,202,244,511,758,194,948,005,467,
682,078,409,474,134,437,811,829,147,709,587,354,198,139,879,906,371,484,320,
703,408,786,002,342,563,705,685,683,102,462,530,896,507,656,359,159,751,479,
108,860,293,696,103,215,007,847,460,403,385,373,401,877,347,707,852,137,250,
971,106,389,846,237,879,863,767,540,918,468,235,033,943,384,082,458,123,263,
025,962,254,161,369,029,607,022,680,553,361,013,878,636,713,934,986,262,004,
506,402,394,651,702,687,219,230,154,684,299,349,449,741,135,486,763,211,597,
181,029,923,292,016,272,363,759,908,403,642,934,665,739,272,010,067,011,620,
236,749,618,954,386,208,307,641,231,382,547,741,255,043,375,420,487,368,988,
506,612,361,841,443,652,392,160,802,240,955,332,473,065,397,311,052,057,136,
615,014,548,666,877,695,709,678,064,331,260,716,121,767,456,391,196,325,197,
442,012,432,400,793,694,166,959,555,818,194,865,030,274,878,682,558,276,474,
785,328,232,726,864,029,413,525,762,907,177,726,927,866,345,691,874,792,748,
140,714,847,087,531,969,454,170,921,984,071,514,030,275,436,558,846,282,595,
160,102,838,780,064,271,097,103,211,308,769,758,151,531,365,401,397,259,856,
104,474,269,923,053,527,935,827,491,730,808,203,362,339,922,188,640,647,231,
848,151,399,102,259,953,823,306,805,358,559,855,631,485,704,443,846,212,265,
294,449,382,835,172,929,868,538,805,598,696,615,537,241,174,094,812,685,588,
130,982,201,494,084,638,461,688,747,025,497,908,113,799,238,349,701,586,081,
111,309,884,263,468,967,541,031,389,347,345,795,725,355,520,202,032,606,231,
826,900,603,677,802,166,522,339,513,031,232,522,368,186,963,986,859,870,172,
540,229,722,030,257,290,517,241,564,042,150,323,563,643,366,901,851,044,976,
647,846,787,169,566,341,732,174,341,047,115,054,808,458,125,628,221,168,107,
626,988,902,860,553,957,487,267,305,502,648,150,546,156,042,126,384,185,911,
008,564,993,220,130,782,734,782,933,064,323,520,550,987,590,700,447,754,032,
050,473,636,048,568,939,579,873,074,168,461,581,424,369,335,267,201,432,550,
085,220,532,976,838,154,968,072,935,812,416,476,998,975,301,244,112,483,098,
579,755,852,391,858,541,490,064,543,558,078,232,013,538,767,337,134,943,359,
786,749,148,261,654,260,226,401,325,366,799,550,726,357,869,469,731,030,571,
438,377,499,827,659,304,488,050,841,501,678,720,984,013,708,879,433,969,395,
989,581,068,829,636,507,179,709,028,920,817,668,088,228,790,405,988,216,414,
183,527,834,212,420,307,871,855,834,019,673,995,073,620,902,684,801,733,394,
723,027,911,198,337,897,686,138,521,267,188,508,614,516,672,746,966,482,305,
228,514,630,874,786,430,825,312,847,829,862,773,605,811,417,832,014,746,753,
545,035,148,681,674,297,568,704,699,408,561,270,230,146,584,684,931,690,570,
269,622,902,545,815,559,020,116,163,317,831,141,484,025,213,521,533,815,632,
912,277,407,218,636,349,013,208,201,187,585,939,738,764,301,962,524,910,664,
485,023,969,242,942,411,946,429,190,235,187,823,828,196,537,653,110,286,193,
529,451,746,405,723,429,725,012,403,134,305,662,649,599,447,286,596,007,368,
311,675,993,147,499,534,470,591,864,981,626,961,073,894,826,342,179,991,909,
322,395,485,656,792,724,468,858,281,491,992,133,999,892,927,311,307,658,086,
027,574,293,335,041,303,670,623,445,999,673,406,732,213,520,428,293,917,757,
845,745,643,780,491,884,913,431,580,439,775,304,560,550,254,820,847,631,751,
313,618,950,358,345,942,891,806,239,563,411,125,415,375,177,394,266,284,219,
187,225,324,700,173,024,766,811,602,607,525,032,320,341,456,553,067,401,288,
425,430,207,498,762,466,967,631,549,850,599,889,627,578,771,514,144,628,545,
356,925,189,483,110,377,164,458,335,033,760,863,598,721,627,322,182,377,211,
687,232,394,498,185,101,254,704,263,480,365,439,062,422,103,883,470,855,918,
960,824,041,667,911,336,896,705,556,581,558,193,205,860,282,089,662,316,183,
187,393,909,863,298,968,770,500,644,263,475,874,987,378,959,969,151,251,991,
327,750,953,955,345,070,694,945,984,576,700,785,291,194,495,832,643,693,776,
565,389,484,297,685,705,679,553,585,239,019,451,790,575,587,735,157,770,892,
982,139,871,255,228,258,681,178,586,537,241,047,456,215,635,050,955,225,124,
765,157,480,731,091,409,048,722,321,791,617,767,967,874,118,212,016,722,470,
385,374,076,483,435,437,154,383,632,086,091,234,762,281,855,067,773,668,026,
561,911,548,472,187,372,830,837,682,925,324,609,370,513,820,506,908,377,965,
027,867,877,705,722,054,088,703,335,074,705,303,380,789,813,554,748,263,537,
708,713,091,040,612,933,591,729,616,694,466,588,956,958,331,787,370,225,053,
002,344,796,780,228,659,155,013,844,121,844,833,242,144,368,750,908,904,042,
229,632,445,440,843,393,505,161,946,234,903,459,323,596,164,898,354,886,345,
472,885,050,649,729,197,444,958,386,490,179,586,482,893,307,390,578,341,393,
338,721,171,486,020,506,293,091,628,537,133,864,926,228,455,251,021,037,420,
814,249,477,187,796,519,561,512,673,985,123,542,193,481,931,333,340,102,616,
378,369,621,079,840,624,656,159,299,887,760,171,261,922,620,619,950,782,255,
983,283,612,059,960,516,435,714,838,359,862,200,696,272,905,187,813,710,822,
139,122,605,154,086,659,347,880,094,032,135,163,929,335,985,801,521,422,757,
027,986,062,619,504,117,779,701,543,728,424,021,087,801,978,698,960,099,671,
168,693,622,388,774,005,851,658,386,556,944,962,941,893,640,250,345,423,918,
431,632,863,875,370,632,754,233,693,505,081,752,172,780,989,178,563,030,466,
440,910,185,896,426,310,511,138,413,016,425,316,652,478,206,043,346,683,784,
252,333,540,699,723,032,396,629,131,041,326,706,511,985,476,536,084,200,835,
720,313,002,767,392,884,847,771,307,738,495,002,143,123,418,927,312,480,047,
046,349,826,176,671,772,733,492,430,088,571,738,279,450,343,128,043,908,408,
416,461,872,955,268,685,541,487,926,770,817,371,375,963,970,799,925,167,257,
575,372,625,218,034,880,090,570,831,513,061,438,079,530,903,585,892,094,526,
393,173,352,985,944,796,614,424,013,660,798,976,747,638,006,085,675,052,887,
586,214,238,847,774,549,910,420,225,585,124,835,843,052,066,368,899,774,667,
956,963,877,025,198,464,447,205,490,647,073,161,291,037,535,501,409,888,977,
836,816,191,547,844,431,918,282,204,242,044,114,244,105,304,430,431,890,212,
104,531,874,656,109,005,745,684,031,495,646,026,942,340,298,431,694,219,289,
567,773,408,099,326,283,952,161,084,955,496,366,937,999,544,190,898,352,589,
790,379,816,645,527,050,101,966,784,759,177,053,766,206,439,355,452,373,280,
594,743,248,767,978,991,077,250,843,885,110,712,235,018,829,528,520,780,007,
851,242,363,919,170,445,710,548,752,570,186,001,069,814,574,555,081,565,580,
912,521,755,688,842,545,128,279,568,071,324,741,046,631,864,345,328,824,009,
149,828,356,538,018,537,626,925,368,028,898,899,799,020,603,343,437,066,994,
864,243,204,778,488,945,979,115,688,811,307,396,414,256,225,433,402,789,970,
038,833,174,568,674,931,054,800,112,382,459,436,195,922,117,275,441,357,395,
902,607,581,982,829,222,199,999,427,015,457,332,628,099,516,969,018,996,888,
565,559,265,067,785,374,679,838,068,859,493,990,152,889,182,963,626,042,657,
939,962,748,602,213,631,260,611,164,138,084,572,248,565,929,240,076,019,010,
550,243,180,142,758,398,622,486,509,565,093,208,686,970,118,853,125,528,408,
845,936,577,320,527,802,832,063,854,550,320,293,017,986,853,972,036,631,132,
548,484,518,706,338,972,122,844,314,527,150,301,438,113,764,378,311,061,279,
778,384,376,693,419,914,599,872,059,363,318,783,611,445,385,561,717,064,073,
700,007,454,678,227,551,247,213,304,964,787,282,790,944,046,143,700,508,718,
379,889,005,754,158,742,789,087,955,237,911,514,875,313,636,265,286,684,204,
573,148,106,784,483,010,220,848,632,231,179,869,649,806,616,559,618,662,869,
125,180,920,677,871,862,525,099,285,476,737,077,825,775,381,887,389,433,773,
464,294,751,196,488,900,259,690,713,339,552,527,889,612,306,110,554,334,081,
760,910,350,443,604,135,670,608,699,726,328,109,500,082,744,726,093,322,344,
395,050,995,450,270,083,640,694,741,702,126,453,572,110,623,863,711,619,223,
325,830,941,995,609,642,721,234,675,257,717,795,369,964,273,122,037,780,028,
003,906,508,015,468,208,127,538,768,300,064,504,556,273,602,589,713,395,610,
162,975,159,662,644,763,189,057,752,539,610,922,225,545,011,178,074,447,137,
347,181,820,360,186,195,211,709,367,006,472,850,421,160,431,550,802,363,639,
614,507,354,767,992,437,545,251,882,103,794,586,814,760,364,138,403,489,040,
565,494,242,486,966,863,815,873,156,600,378,209,322,553,698,170,321,307,678,
501,667,681,151,321,237,411,509,579,333,057,598,475,377,294,860,219,690,665,
153,959,667,932,021,436,923,890,465,815,830,737,389,342,363,321,296,533,963,
755,150,803,486,749,522,185,489,824,554,690,803,417,142,052,266,533,154,711,
152,372,532,933,893,197,042,010,830,575,174,130,444,871,800,539,986,392,805,
466,596,283,018,461,194,812,682,873,552,595,445,210,056,115,637,076,902,006,
460,844,947,090,189,168,467,829,392,368,907,064,522,702,964,831,153,134,687,
436,613,928,953,953,414,591,330,785,377,060,993,064,288,230,060,477,478,648,
058,240,333,608,976,449,776,590,976,884,287,320,566,402,767,881,315,427,204,
275,429,750,990,605,699,000,626,697,316,619,223,009,313,728,770,370,422,365,
435,398,551,947,341,381,764,418,390,476,239,295,357,244,680,930,337,191,806,
613,122,231,996,080,874,240,798,326,901,355,387,402,709,745,415,989,168,243,
074,168,376,754,801,956,715,166,239,840,508,249,353,219,774,959,581,750,527,
459,777,658,874,487,781,033,430,836,776,818,335,677,586,537,029,438,584,898,
878,102,881,982,401,950,457,943,361,171,865,568,018,945,179,126,249,635,806,
519,822,800,068,688,098,989,446,486,343,387,207,375,520,464,332,034,714,886,
644,290,707,133,793,977,406,413,501,887,440,276,120,510,668,121,347,562,864,
320,620,972,869,032,462,513,589,629,337,821,331,971,540,870,968,708,136,549,
883,517,426,685,465,199,381,639,874,829,973,711,410,431,739,907,809,394,788,
221,638,418,128,144,988,116,842,876,930,482,546,378,629,840,770,023,850,593,
024,084,604,069,053,225,808,443,742,474,178,622,174,825,847,786,919,477,868,
361,613,255,836,328,243,864,220,898,704,215,885,190,868,426,453,736,760,826,
632,536,188,824,128,109,357,831,057,813,470,125,074,584,600,670,623,954,466,
913,201,620,230,940,575,694,478,467,047,482,174,926,021,588,229,160,043,961,
641,080,803,489,751,748,163,842,547,101,702,165,473,472,698,822,223,926,259,
023,635,905,647,165,567,905,642,031,395,104,119,171,419,402,319,210,190,459,
542,679,880,234,150,385,215,104,860,648,210,233,350,505,672,375,548,151,769,
099,598,122,736,501,823,384,283,547,368,314,196,822,882,857,486,155,006,929,
128,977,919,607,745,154,514,476,159,720,180,344,322,141,762,565,519,964,865,
001,130,889,517,913,649,808,807,667,506,458,356,298,669,348,334,542,777,794,
230,654,356,824,578,951,000,291,423,506,603,678,335,624,922,453,415,678,900,
305,898,767,177,437,995,429,728,356,697,639,456,838,929,900,359,311,819,637,
412,293,895,109,083,743,520,833,395,575,638,923,819,762,461,868,495,052,545,
738,416,774,641,062,903,518,214,396,730,679,852,617,371,999,820,877,875,739,
651,652,641,442,362,787,472,280,570,218,326,269,608,882,197,051,797,564,828,
976,882,850,544,012,902,595,263,634,618,722,050,032,870,592,985,656,651,204,
904,947,290,641,850,706,405,336,981,960,788,293,541,838,172,763,607,173,600,
048,502,736,794,125,071,349,398,770,214,473,918,803,059,102,194,128,883,068,
697,871,362,334,101,369,818,235,339,712,676,672,487,620,153,255,633,173,364,
722,270,847,681,533,807,776,979,462,335,524,589,802,186,119,807,785,466,842,
737,758,938,319,445,455,701,975,582,545,861,777,926,269,885,132,775,882,347,
947,154,998,966,049,334,358,562,907,348,534,572,876,085,663,058,360,513,967,
574,088,824,243,108,089,467,084,191,890,178,293,274,370,796,836,079,329,356,
043,582,722,318,481,762,940,897,682,698,277,151,100,896,231,351,643,464,714,
809,163,000,840,991,067,980,691,678,034,163,681,488,443,842,156,584,203,716,
347,410,719,767,377,682,729,567,984,042,875,957,542,597,114,728,854,183,233,
192,822,854,335,406,354,687,120,501,440,333,610,402,681,472,520,968,754,057,
970,196,645,140,769,970,367,719,436,241,497,232,133,438,597,418,402,851,589,
574,225,619,911,352,916,329,598,772,210,960,862,086,061,193,423,449,045,196,
533,127,172,151,632,547,641,733,888,329,559,476,336,481,473,393,122,179,779,
620,502,693,665,151,456,382,580,841,402,524,696,133,919,388,906,492,088,667,
731,801,432,587,773,987,883,120,701,265,320,203,709,905,732,951,004,135,408,
081,366,448,034,082,656,981,880,105,822,830,539,609,006,308,178,743,732,036,
519,499,040,957,061,933,296,714,702,152,442,022,935,650,926,415,562,573,960,
689,417,627,139,720,082,599,145,449,894,780,660,102,021,718,033,953,854,335,
476,804,033,328,787,316,766,910,303,379,570,384,536,998,459,914,035,652,294,
707,583,984,469,226,097,322,112,307,549,425,434,027,281,392,797,244,895,813,
255,819,108,429,086,380,089,145,904,260,034,914,551,262,898,172,762,130,036,
366,452,139,347,247,916,176,302,497,651,237,508,019,523,300,163,345,557,410,
327,316,278,263,649,535,215,140,611,176,545,786,569,483,019,252,299,129,593,
462,788,511,945,730,226,952,137,091,686,614,234,493,212,384,343,342,724,501,
835,333,950,430,559,970,554,559,505,906,639,189,812,988,519,981,709,596,425,
677,313,565,683,050,897,568,045,175,550,117,532,018,916,475,954,189,735,315,
631,340,342,700,108,971,456,683,489,540,344,238,353,536,570,471,822,316,774,
300,035,569,927,399,112,740,342,800,487,287,990,723,365,915,559,220,957,689,
780,030,096,198,549,472,788,198,684,181,233,960,290,338,956,912,652,848,783,
694,007,260,574,043,938,066,789,452,876,073,317,362,662,848,726,483,672,591,
858,216,807,781,044,972,930,378,813,619,431,898,019,601,038,411,244,750,702,
623,444,046,854,903,430,747,156,141,026,156,043,421,469,717,184,705,534,064,
692,979,045,880,282,459,192,380,657,434,257,434,072,764,137,933,332,938,604,
432,826,525,769,953,438,371,872,339,568,900,599,623,397,132,915,642,151,444,
879,746,750,420,344,316,695,628,761,634,113,370,344,379,043,043,723,403,374,
270,993,130,855,192,884,832,989,611,839,872,796,398,133,889,535,955,313,520,
995,348,204,702,662,050,016,267,813,327,262,619,996,204,386,785,376,860,267,
670,497,365,359,661,055,346,874,656,915,020,903,924,803,231,546,556,587,141,
133,920,824,862,980,296,784,568,000,105,475,465,268,674,666,974,799,551,574,
821,218,752,179,178,357,995,898,807,944,069,115,118,333,718,919,679,538,270,
348,988,747,671,506,892,535,795,879,460,475,340,635,561,333,459,428,337,590,
850,247,276,952,614,497,450,987,993,025,423,652,337,294,719,209,364,727,680,
325,532,927,877,606,802,900,405,622,206,957,788,083,867,961,562,370,698,576,
094,563,528,974,832,836,105,152,575,419,079,138,967,789,442,087,395,707,091,
922,885,482,536,553,156,396,854,152,930,235,578,422,682,274,376,434,600,983,
806,271,630,077,347,956,987,802,057,051,422,284,582,761,072,215,170,956,627,
189,833,811,989,300,666,872,956,309,341,457,432,069,209,754,878,110,174,144,
087,477,486,474,824,354,297,198,197,142,080,402,658,596,809,053,875,094,289,
371,600,120,307,351,202,283,569,547,154,455,804,719,866,420,366,958,713,739,
253,310,997,051,569,307,390,094,743,263,109,230,561,183,504,429,631,641,797,
187,883,012,010,568,110,497,646,303,521,210,035,165,608,741,043,313,788,726,
271,466,318,359,997,985,346,261,858,408,697,229,588,556,427,746,052,059,252,
230,807,476,026,038,990,285,945,173,374,459,767,808,623,756,296,241,268,367,
190,773,529,806,068,826,653,099,256,260,013,133,190,073,006,466,548,491,728,
304,473,624,517,071,572,411,179,003,951,659,165,569,566,091,991,037,370,481,
066,173,007,488,917,183,149,024,060,817,166,070,984,714,006,334,183,381,532,
523,945,791,374,584,780,473,282,529,501,283,416,892,376,851,100,786,423,546,
747,504,016,480,757,968,794,090,503,895,970,946,524,268,377,323,590,836,112,
556,756,481,815,669,568,070,395,516,202,848,218,954,925,690,119,544,345,105,
014,725,731,576,069,364,886,663,126,488,610,317,990,377,523,642,056,131,966,
306,264,187,367,925,487,173,001,337,062,908,013,066,569,846,649,182,698,852,
187,283,042,817,193,086,183,814,138,684,266,358,863,641,728,384,297,379,158,
338,311,790,647,285,353,280,335,715,592,682,629,135,897,175,667,628,891,130,
187,832,890,444,792,976,084,745,724,499,680,915,082,999,190,363,442,640,355,
534,878,822,271,878,321,028,591,809,142,956,881,479,391,960,710,426,244,951,
354,236,201,354,051,268,736,625,991,602,799,389,913,264,247,973,841,086,735,
217,978,602,066,107,237,739,852,973,278,305,425,994,728,002,108,452,573,615,
176,077,222,665,061,588,996,847,217,954,344,284,159,579,929,989,244,635,211,
277,786,050,523,449,740,017,827,987,848,609,622,993,236,351,922,312,641,136,
101,533,783,517,342,395,023,327,988,168,071,737,187,462,659,773,401,606,393,
065,304,392,327,488,751,770,457,474,330,922,061,156,551,822,550,438,971,633,
864,058,221,837,342,976,579,774,120,883,880,226,420,997,313,487,733,033,377,
121,870,931,009,567,091,853,863,983,968,817,322,194,057,087,583,117,310,937,
113,840,505,545,137,064,696,588,335,058,962,189,550,180,099,962,305,695,643,
125,941,827,996,667,584,093,717,738,236,372,997,619,522,159,841,914,445,325,
661,785,544,911,839,476,764,715,240,946,621,430,376,886,130,585,627,885,594,
338,863,217,977,175,649,830,521,668,073,877,569,848,119,031,719,169,638,052,
327,145,901,542,126,636,874,335,011,804,492,413,929,640,203,630,288,578,158,
197,892,083,304,137,690,717,133,176,684,139,067,392,241,360,079,535,959,922,
923,659,309,641,740,732,614,682,019,336,538,305,722,530,102,993,815,022,357,
318,124,393,388,588,055,696,796,335,961,608,611,843,149,148,764,853,335,240,
358,403,528,849,146,373,894,284,753,265,563,239,167,766,170,764,015,408,417,
364,241,528,179,541,414,215,536,164,379,761,340,117,930,198,148,433,044,628,
732,168,535,330,031,891,490,759,603,828,189,030,585,544,836,726,467,406,947,
047,272,222,484,481,975,869,617,823,954,403,171,727,057,334,398,349,167,056,
277,928,127,344,337,888,269,574,417,619,359,884,102,445,868,285,065,953,485,
423,850,913,170,888,238,160,812,556,886,358,615,539,876,886,312,704,051,139,
171,655,516,019,577,889,630,631,851,862,809,921,410,107,598,105,767,146,031,
483,021,516,610,497,944,463,585,494,164,094,428,548,819,140,965,678,462,279,
251,999,367,482,680,051,679,548,563,898,477,955,869,583,538,720,205,350,674,
035,272,764,834,593,783,868,295,292,326,897,911,747,471,645,008,086,145,066,
721,518,740,489,065,345,790,494,446,504,996,242,366,677,723,816,930,105,011,
874,277,682,041,722,821,821,478,999,890,586,146,723,157,834,492,283,031,699,
141,039,719,646,821,665,027,350,573,218,500,222,238,478,617,489,042,948,147,
986,238,624,037,031,955,622,005,286,368,441,643,260,375,110,071,314,820,044,
052,723,404,488,708,042,220,097,432,672,485,282,102,458,092,220,752,273,014,
145,269,550,963,356,300,259,911,829,113,665,263,378,879,190,887,356,666,745,
721,887,847,449,512,797,789,829,714,774,941,377,268,740,718,394,996,656,590,
137,780,816,592,082,405,231,304,032,543,848,439,014,484,557,168,215,741,883,
583,669,082,087,600,116,462,670,833,179,162,740,916,296,179,502,042,543,658,
559,057,037,918,585,177,106,990,975,039,846,256,319,907,661,085,924,711,741,
081,512,872,908,778,383,830,965,816,458,114,830,781,234,516,435,889,447,152,
445,297,332,414,043,225,853,861,187,598,257,842,852,251,472,966,334,961,452,
391,439,823,919,101,578,304,863,189,850,743,603,249,124,633,103,092,510,617,
827,276,365,406,434,270,309,066,592,198,888,999,825,999,972,890,385,903,260,
859,540,288,461,539,866,669,263,610,373,416,866,973,344,426,842,487,311,689,
249,689,355,559,281,803,342,250,566,616,020,512,433,510,786,482,546,379,232,
254,016,814,250,504,766,439,557,779,979,153,866,970,137,127,063,222,703,759,
802,119,767,323,402,472,405,103,532,196,341,208,954,622,128,362,174,920,154,
075,615,730,431,543,764,380,272,753,396,005,162,230,175,547,366,424,687,511,
002,742,993,186,762,612,865,038,424,168,791,550,985,274,021,030,069,992,113,
803,899,669,910,259,786,802,019,852,392,795,573,763,451,330,992,593,508,528,
396,501,899,689,407,749,133,050,798,573,024,829,684,721,788,990,075,847,185,
614,243,108,008,728,881,579,367,736,118,968,209,231,118,563,082,318,792,150,
874,285,780,160,414,049,688,754,589,202,569,075,364,995,908,989,372,677,377,
693,350,439,742,295,685,768,330,990,492,559,850,948,309,027,144,277,516,410,
691,354,337,276,865,949,266,317,714,814,334,028,256,500,756,181,787,937,039,
917,301,493,551,821,919,189,780,103,539,576,355,157,253,869,238,861,248,698,
951,215,620,711,291,299,802,618,644,600,580,179,853,473,238,880,232,765,091,
804,662,235,539,707,698,200,640,997,283,844,933,658,784,766,131,921,230,902,
217,683,263,853,063,199,687,412,438,161,575,989,982,532,323,941,906,210,477,
620,689,334,160,843,134,548,096,555,463,302,305,312,756,013,934,725,283,483,
212,248,386,856,031,383,363,060,060,531,122,954,513,259,765,097,656,855,034,
738,251,932,699,452,491,840,707,915,129,213,389,595,159,213,860,451,735,725,
512,579,751,883,566,654,397,009,712,225,256,897,912,658,650,845,754,282,440,
291,698,212,069,913,939,129,126,378,433,151,473,232,824,667,664,963,732,872,
160,074,572,795,250,496,545,786,118,188,663,481,987,093,996,349,064,722,717,
218,447,643,769,303,301,630,943,078,818,941,779,984,741,831,804,741,049,133,
220,172,276,123,469,887,412,476,780,767,383,784,273,648,708,814,571,498,552,
766,734,451,365,855,574,702,304,786,242,262,239,492,879,965,682,004,802,831,
488,298,092,227,392,165,124,197,870,861,517,088,278,837,214,581,602,498,491,
583,305,488,411,193,682,463,943,390,172,149,016,627,662,886,845,964,619,223,
462,251,422,061,498,778,572,019,979,573,360,908,942,941,364,084,396,545,911,
530,410,983,352,190,110,538,002,753,583,765,606,091,475,678,377,675,550,561,
330,169,948,451,287,651,574,799,526,637,412,070,701,419,981,505,499,886,585,
718,305,476,651,243,363,792,824,522,543,960,381,698,658,128,980,604,351,714,
831,834,726,941,979,566,288,051,431,098,733,571,297,626,122,776,150,817,441,
747,309,105,476,276,122,190,752,525,186,732,981,510,425,096,204,298,315,541,
446,582,177,193,299,946,291,260,280,694,956,147,261,653,834,994,915,561,098,
624,962,987,514,291,240,951,481,690,036,857,658,205,022,014,654,714,356,886,
112,422,279,450,706,508,982,312,602,484,083,251,257,594,472,655,970,609,768,
253,029,033,996,233,857,534,571,871,834,232,165,473,321,639,616,722,099,042,
133,794,400,353,322,177,719,730,930,064,717,705,973,960,386,725,258,777,343,
949,532,263,473,716,384,521,449,045,563,988,015,452,843,924,018,074,334,551,
324,555,999,875,098,226,145,601,778,331,218,305,819,145,477,178,438,329,362,
576,577,743,555,127,735,656,848,242,993,130,495,069,066,699,867,816,564,300,
119,088,863,230,076,573,896,901,394,206,724,282,798,251,346,164,961,733,787,
648,579,052,172,490,378,743,593,469,409,188,522,313,384,133,344,339,220,336,
024,724,027,165,024,707,243,327,495,134,060,946,938,033,985,408,868,481,185,
228,278,408,091,162,102,235,078,698,079,009,896,480,738,926,946,342,383,674,
201,003,991,884,286,140,402,076,534,564,220,308,664,154,939,647,763,283,647,
886,477,191,336,914,238,849,097,815,712,327,757,088,779,004,458,921,430,904,
743,652,768,853,308,439,529,592,174,788,617,077,642,212,201,330,516,810,507,
259,579,738,166,561,758,436,405,222,063,409,050,548,974,928,576,403,540,341,
026,383,841,449,473,502,973,585,389,649,893,050,811,452,131,140,139,321,206,
604,008,396,573,919,946,902,136,728,606,639,272,014,152,916,715,880,518,476,
675,863,026,476,351,393,375,284,097,843,456,778,453,828,481,122,620,800,531,
160,087,130,895,418,924,006,656,642,776,128,293,986,417,945,291,248,527,048,
376,287,860,899,294,255,021,221,943,032,012,983,797,723,536,584,299,649,845,
802,715,043,052,616,982,241,969,016,801,675,148,901,628,664,153,871,901,912,
927,026,405,160,793,509,491,310,675,005,921,017,172,096,224,208,782,666,813,
917,931,446,666,184,469,919,898,719,846,215,670,963,260,550,485,273,649,154,
886,483,148,334,839,624,462,117,162,967,311,441,886,133,521,294,952,584,155,
836,503,781,819,390,037,012,515,244,075,098,549,987,983,215,467,094,881,814,
263,044,576,906,912,171,856,367,888,543,004,555,092,906,437,347,016,480,510,
471,834,852,259,327,477,522,682,569,864,115,497,308,212,609,775,883,714,727,
104,174,300,754,844,330,248,243,101,998,669,229,673,805,793,813,348,312,504,
185,536,428,885,913,165,492,514,156,592,745,444,279,724,851,350,643,311,523,
680,380,872,317,131,522,231,848,209,183,860,403,342,226,535,710,559,195,977,
010,907,526,516,988,997,952,584,735,859,549,618,243,876,758,637,171,459,390,
392,050,921,324,089,302,500,045,481,582,332,313,235,631,734,650,525,555,836,
907,788,130,341,830,398,136,213,502,346,748,000,430,570,151,172,750,504,541,
068,124,555,292,460,397,740,796,951,308,265,504,926,057,090,981,461,116,783,
555,368,890,073,338,667,053,986,464,450,258,383,456,265,730,820,429,875,355,
775,118,923,471,718,522,514,483,896,235,781,268,018,849,921,218,239,153,090,
500,979,606,909,717,722,490,367,866,118,216,620,505,833,491,120,843,109,582,
232,156,277,835,518,623,436,163,109,919,326,376,675,490,124,498,225,583,865,
439,825,117,236,657,186,927,031,733,973,452,518,585,353,579,500,652,522,874,
334,924,776,180,550,676,729,264,963,154,550,172,262,494,119,955,240,713,890,
055,829,190,844,310,526,483,652,786,438,522,799,783,916,211,218,647,615,197,
558,539,160,440,776,448,774,569,552,967,256,759,742,019,324,612,261,602,600,
903,723,187,516,569,022,506,233,867,163,627,999,172,230,872,758,762,834,118,
302,576,905,260,964,872,793,116,776,598,588,897,189,725,215,476,227,525,829,
159,072,923,235,757,194,834,425,700,440,488,271,440,378,290,799,031,974,634,
013,933,689,858,340,854,326,639,370,854,206,459,398,262,942,749,970,488,688,
952,168,336,179,128,280,404,550,728,489,331,069,131,231,602,332,334,120,688,
143,462,842,080,848,265,538,863,725,875,817,392,806,465,022,584,234,372,027,
402,931,274,433,685,804,976,695,210,746,061,064,854,467,850,498,538,700,172,
246,823,527,321,306,442,283,216,800,805,974,020,665,288,346,337,872,441,477,
984,973,205,633,449,590,524,971,562,398,067,615,675,753,893,418,133,976,900,
929,186,966,806,047,482,288,003,655,915,147,441,587,326,052,902,038,156,190,
338,043,296,165,485,352,986,923,163,446,267,257,065,406,702,065,074,209,322,
750,957,662,047,832,599,497,091,052,363,557,118,837,628,811,940,120,135,473,
168,691,165,892,336,635,620,622,518,773,344,455,827,323,257,151,709,599,274,
522,951,189,287,981,425,754,905,271,348,933,217,315,660,837,742,257,848,058,
387,791,657,477,862,223,877,486,789,448,629,129,637,330,843,389,249,680,058,
027,007,460,120,807,671,770,167,245,192,498,429,487,232,345,522,312,605,362,
892,859,376,727,514,794,193,562,651,078,174,284,146,276,529,451,486,030,124,
094,291,164,841,905,644,633,186,093,510,683,215,405,084,463,357,291,354,121,
186,129,563,843,292,956,965,145,829,538,469,550,725,822,893,601,503,714,228,
483,668,385,363,112,603,855,695,280,823,750,951,868,375,747,460,532,468,040,
644,026,720,799,862,941,181,426,699,537,354,059,152,232,030,029,178,808,889,
611,578,416,416,140,537,263,701,581,374,211,877,779,665,368,773,076,134,609,
235,326,840,848,875,785,133,345,864,292,910,346,450,337,105,947,229,522,678,
286,128,745,554,253,724,645,751,392,281,819,070,037,049,204,766,367,276,340,
522,986,348,264,222,775,744,716,710,798,662,392,351,381,053,775,709,213,748,
844,540,694,798,075,253,421,015,615,323,716,472,074,545,497,387,998,175,287,
381,941,427,692,974,141,007,384,973,501,626,120,441,648,548,175,632,275,607,
443,232,068,692,255,080,213,018,418,886,992,433,843,296,250,441,487,928,536,
747,312,377,842,329,740,056,412,378,392,371,466,179,299,150,223,143,138,203,
741,625,177,854,030,985,022,379,610,802,751,219,661,780,316,537,203,474,148,
532,135,141,693,654,994,221,824,013,622,059,888,149,721,985,578,960,706,682,
179,439,012,994,142,012,698,333,552,317,513,405,101,345,007,457,512,324,924,
865,940,799,511,116,313,668,647,846,179,059,174,335,118,531,512,824,064,575,
328,387,078,342,798,099,991,310,042,723,689,872,198,874,535,731,072,622,073,
977,659,085,333,772,596,665,714,894,844,222,264,216,308,317,339,356,032,882,
787,541,456,590,166,128,089,710,572,188,676,215,900,829,778,151,871,290,036,
924,902,311,269,245,647,126,536,394,898,328,741,286,606,953,198,092,268,723,
102,347,937,475,657,701,525,489,634,192,217,876,948,275,902,653,644,593,237,
194,803,287,831,449,469,056,205,164,056,205,715,131,248,083,632,300,335,189,
030,883,704,017,042,628,849,600,245,925,640,646,738,759,196,422,748,780,984,
268,152,217,408,593,924,902,232,422,771,269,895,631,357,073,012,277,927,324,
929,116,239,725,172,366,004,130,416,512,579,624,457,696,844,367,420,944,205,
055,181,493,417,130,130,147,679,808,985,869,906,999,520,139,402,212,462,745,
635,331,661,301,258,761,402,598,714,652,075,124,554,173,418,136,450,580,058,
180,400,990,610,390,030,777,305,852,737,947,660,589,417,539,517,748,527,274,
838,571,088,963,697,986,017,151,056,871,898,824,563,556,936,447,871,186,018,
842,021,099,867,657,249,356,573,098,809,297,818,108,444,672,825,440,895,821,
262,732,234,153,313,424,777,929,108,315,098,765,672,605,291,665,607,685,647,
357,875,432,839,120,565,024,228,395,949,786,824,173,936,616,990,818,486,718,
001,419,888,564,859,929,654,313,247,905,502,040,983,845,418,821,912,841,298,
609,353,705,363,316,555,311,326,719,505,383,516,786,811,275,269,675,620,522,
664,893,459,205,174,010,511,447,668,320,398,192,599,075,911,878,541,805,119,
552,863,820,557,821,389,757,324,464,040,302,356,611,428,280,320,900,563,142,
341,306,027,568,207,810,703,978,478,179,937,091,798,698,320,333,879,745,352,
991,745,665,875,655,918,318,980,293,684,071,926,588,279,814,713,527,908,882,
151,229,052,489,254,784,926,855,636,024,546,131,676,072,554,858,212,585,586,
516,455,567,474,757,446,318,112,432,486,192,824,494,753,795,831,915,872,283,
530,076,638,060,646,323,111,438,784,509,519,289,749,077,212,333,413,936,536,
183,167,817,695,794,126,311,976,991,454,165,345,541,091,347,713,930,911,799,
236,159,841,468,424,344,049,536,582,524,662,327,052,048,550,317,785,387,708,
266,426,696,046,647,506,003,164,912,223,525,098,906,123,122,006,921,161,352,
401,013,628,543,279,163,903,799,188,837,448,671,650,002,296,866,032,017,923,
556,583,146,455,055,390,707,834,244,103,750,008,871,134,926,360,395,015,447,
704,761,490,628,064,843,070,089,614,244,402,129,574,377,064,660,695,606,853,
413,810,457,220,975,973,248,719,487,380,286,797,688,495,787,019,557,904,229,
862,036,361,944,129,180,744,808,126,735,604,155,036,010,063,585,343,169,590,
934,074,324,822,755,946,124,831,050,283,329,199,239,828,294,772,457,398,877,
168,417,235,951,867,912,994,229,477,881,921,914,943,491,345,565,629,100,672,
461,117,635,100,535,056,903,327,908,733,329,811,627,656,260,340,348,092,568,
204,113,379,768,003,499,604,389,859,820,592,232,141,129,017,271,294,816,747,
745,872,610,174,411,694,130,734,781,234,237,608,888,719,093,474,000,100,435,
050,954,616,626,439,569,185,617,190,779,307,390,062,099,683,078,304,792,936,
761,424,345,684,080,777,682,061,216,593,704,413,173,256,499,412,502,600,162,
062,734,437,285,254,978,116,196,353,980,599,191,408,670,580,162,921,900,458,
911,801,121,259,429,646,860,771,996,196,575,398,332,360,730,287,989,709,309,
679,925,983,949,151,022,171,375,681,453,923,351,588,854,221,859,230,312,664,
201,575,417,196,380,261,393,109,140,436,633,234,582,744,473,088,931,552,338,
455,159,567,837,688,253,324,310,857,134,130,025,574,069,144,476,429,004,265,
384,984,684,066,897,665,787,894,276,887,535,711,327,385,517,920,864,592,841,
434,225,693,244,002,988,193,420,927,953,127,117,254,128,783,395,374,716,042,
083,261,135,764,929,753,214,376,630,637,457,882,342,086,230,625,799,585,354,
398,308,517,736,844,213,435,388,561,300,088,181,328,088,433,694,946,247,385,
334,927,715,835,271,464,988,473,079,960,987,792,908,840,747,045,274,253,201,
464,517,839,719,395,206,158,629,795,312,448,080,488,747,146,670,320,944,797,
593,270,649,447,571,522,013,488,510,165,635,250,479,805,125,273,496,949,788,
030,687,262,572,945,662,600,790,839,481,848,927,895,940,761,057,045,051,739,
514,215,474,848,132,918,073,004,715,755,184,034,086,295,914,657,887,851,049,
014,105,281,042,006,776,847,831,909,931,295,291,285,804,051,820,314,915,846,
896,666,400,723,102,843,109,413,377,057,921,358,021,553,719,621,160,074,231,
576,715,918,191,886,042,622,173,784,691,133,614,085,774,370,770,107,063,501,
562,951,896,615,344,796,385,563,439,631,829,137,347,281,517,256,562,522,183,
818,001,641,983,504,410,095,810,025,161,766,446,275,494,276,979,939,658,433,
475,336,978,763,609,728,245,402,355,780,192,417,434,646,717,602,744,262,815,
520,874,063,605,015,825,388,838,060,063,546,202,860,073,197,038,434,233,485,
656,622,635,584,654,904,691,501,978,102,919,775,874,656,966,555,711,456,037,
299,788,265,100,117,709,838,147,572,421,767,029,034,120,225,339,903,175,167,
678,119,782,316,046,645,925,225,722,977,184,348,077,908,041,033,213,361,835,
764,580,330,786,454,869,275,001,082,068,492,981,344,735,316,123,373,280,569,
571,273,722,476,883,419,777,960,894,505,954,801,398,753,912,595,819,719,660,
891,771,415,120,776,047,277,416,951,131,811,142,952,900,166,488,701,048,874,
122,409,196,907,321,901,265,823,410,683,110,016,460,110,342,993,933,475,594,
900,271,860,876,160,140,050,028,118,287,831,327,234,971,215,072,392,749,217,
410,418,280,187,502,915,950,959,004,861,121,113,591,148,227,070,940,944,414,
736,863,534,616,846,946,540,265,859,567,735,706,240,351,512,864,496,873,338,
840,938,624,942,034,012,412,587,540,764,928,138,748,189,912,253,894,271,224,
487,183,742,270,807,490,180,870,096,784,426,499,839,168,453,424,563,550,701,
536,296,525,184,939,389,978,468,202,837,114,992,052,904,741,551,543,927,444,
172,269,359,107,901,418,473,790,991,406,319,183,169,665,539,336,340,657,110,
042,536,076,048,716,696,939,172,929,602,583,443,197,324,741,795,575,084,643,
007,207,766,347,976,666,032,672,194,277,466,882,431,270,154,179,212,124,852,
507,584,487,679,981,602,319,429,371,858,923,831,347,903,636,731,118,282,362,
662,489,520,252,469,159,829,835,154,071,417,178,107,591,204,405,623,900,512,
269,280,814,318,266,042,300,983,851,911,717,707,049,014,896,731,260,365,433,
097,656,495,394,319,648,702,429,059,717,998,546,739,880,871,156,907,865,988,
507,268,562,201,790,584,477,375,337,025,921,152,829,385,714,214,639,540,978,
615,290,440,597,757,666,262,545,789,605,939,317,462,960,629,159,590,357,874,
424,188,170,371,308,486,888,765,873,242,649,219,913,926,836,014,401,715,386,
873,229,375,832,869,102,677,818,134,859,811,697,269,535,090,099,175,327,445,
351,608,050,284,505,314,755,952,297,535,682,159,572,754,636,579,085,118,622,
756,089,780,754,226,871,969,733,952,211,472,307,992,453,876,029,955,019,438,
470,797,289,029,136,976,332,214,594,495,956,479,097,250,947,905,819,550,244,
506,397,425,924,361,647,301,693,515,615,722,672,753,184,226,114,491,173,078,
931,554,231,961,328,742,083,851,497,550,089,249,315,886,516,698,735,565,437,
623,885,338,513,047,971,598,983,811,884,235,798,871,035,602,758,178,254,561,
096,826,463,679,173,571,988,776,921,831,680,192,177,625,372,470,982,249,656,
374,597,126,671,343,684,906,246,313,068,235,216,799,238,820,265,816,761,074,
323,343,982,339,824,726,780,071,011,915,423,355,267,543,199,031,989,137,378,
708,478,377,203,246,262,772,129,978,135,409,103,970,314,646,080,691,825,510,
763,262,281,012,371,189,645,845,048,683,202,436,810,330,249,075,675,037,411,
129,315,666,908,957,064,124,587,259,282,467,368,172,336,591,562,983,847,458,
318,408,116,578,392,248,013,410,726,604,568,692,168,103,361,831,692,948,511,
979,196,426,955,361,088,093,327,630,219,792,142,794,493,566,334,761,603,389,
047,554,835,846,783,511,451,247,785,064,794,938,921,243,775,958,629,885,977,
577,062,375,727,065,743,205,252,999,882,411,002,014,266,046,461,807,036,468,
119,095,742,330,304,222,734,688,017,003,370,183,258,342,766,949,891,601,605,
139,520,896,718,513,951,089,476,452,596,098,857,101,027,752,069,459,327,340,
856,340,041,700,174,259,823,204,378,200,642,875,327,268,384,492,328,046,510,
535,235,966,912,205,908,243,554,598,367,228,229,132,771,747,512,369,051,054,
744,274,163,771,854,086,254,713,083,022,984,004,556,503,438,416,930,749,101,
344,821,539,054,520,938,801,312,771,228,243,011,592,938,460,795,506,590,108,
786,548,709,900,355,656,097,545,053,118,253,064,212,199,740,226,808,898,518,
779,706,264,485,460,343,159,712,327,280,404,919,206,360,814,860,044,709,175,
975,414,386,332,084,662,061,658,464,546,816,435,891,226,121,897,908,905,592,
644,282,567,759,222,245,983,283,282,261,179,102,450,176,515,907,620,296,580,
298,836,110,647,805,922,063,061,542,313,595,347,538,104,380,065,500,221,615,
167,009,982,831,439,915,260,959,793,999,518,210,153,692,200,301,788,829,196,
273,342,221,932,025,858,152,412,951,403,628,499,302,918,341,891,296,481,427,
983,217,583,229,552,914,966,655,004,868,380,550,124,170,118,862,230,122,236,
226,283,797,062,791,040,695,687,951,515,964,286,773,934,876,966,048,103,636,
394,030,942,713,227,717,829,784,658,425,474,636,622,451,247,998,008,042,941,
833,688,585,713,267,110,519,947,010,500,922,411,651,617,605,907,163,844,271,
737,857,590,071,432,807,464,285,565,260,420,062,396,675,491,433,675,287,503,
651,724,587,149,467,650,443,019,035,035,460,766,999,700,189,994,811,866,651,
299,576,855,310,212,237,054,489,978,252,304,726,030,563,957,900,719,415,518,
085,349,051,213,936,624,650,909,231,526,712,923,046,385,298,977,555,952,344,
329,864,489,949,927,409,750,353,121,049,032,474,928,404,184,555,772,720,441,
912,750,374,614,750,365,539,351,158,021,671,754,420,546,746,584,802,960,009,
109,987,388,954,224,633,365,072,864,576,064,081,054,254,420,761,107,907,668,
071,481,968,872,726,600,003,436,500,198,830,486,179,201,623,548,764,559,833,
204,598,829,425,065,391,425,685,372,698,289,686,149,043,989,621,237,549,658,
254,401,276,067,769,208,119,180,205,925,473,060,843,151,781,376,987,103,970,
518,865,053,394,776,281,496,091,352,394,264,019,137,467,186,258,163,284,017,
754,208,528,519,031,632,277,037,489,607,102,654,199,712,925,627,491,598,139,
643,448,201,455,106,881,177,028,274,912,072,957,268,943,936,906,796,332,137,
300,124,495,935,569,277,327,377,866,947,487,778,165,181,939,619,647,300,321,
142,443,773,286,044,026,492,782,660,894,895,730,781,868,975,407,570,645,343,
887,920,666,527,730,511,548,860,417,528,560,851,071,467,094,894,981,643,457,
234,320,272,422,832,764,645,794,486,573,415,093,153,178,654,384,914,767,207,
897,507,369,313,170,255,807,095,622,156,932,847,125,678,255,550,286,581,400,
041,106,935,549,816,895,143,769,134,113,829,185,579,351,251,276,875,612,322,
707,046,087,507,881,117,819,708,237,917,959,085,838,670,690,416,913,684,521,
274,894,330,735,306,846,617,208,593,634,004,935,538,899,443,468,169,798,080,
310,944,812,763,986,839,921,468,934,437,399,896,723,725,090,661,904,330,035,
640,641,057,906,196,369,650,827,447,582,411,580,983,087,601,656,972,478,056,
784,308,570,434,925,986,065,197,183,388,823,173,105,406,532,874,589,976,715,
892,086,124,633,152,818,187,141,056,278,496,330,512,896,009,684,321,294,637,
590,732,940,352,015,240,032,311,547,677,752,809,230,792,908,496,759,684,382,
615,131,275,099,298,514,925,809,332,075,183,085,092,296,930,919,981,941,234,
030,784,242,342,528,406,499,503,456,151,009,469,196,243,828,166,884,972,603,
017,492,419,391,006,857,045,093,738,476,233,181,957,620,695,426,845,583,176,
206,692,453,623,887,857,763,928,871,642,303,500,221,891,810,774,896,229,639,
510,191,338,505,940,406,244,532,041,152,870,833,859,556,070,315,928,747,308,
869,613,457,580,258,726,146,448,023,993,973,774,031,053,498,484,902,849,099,
896,050,920,250,566,433,044,554,488,194,351,860,164,606,890,716,533,817,621,
579,065,299,714,753,343,290,256,374,238,236,682,880,312,227,684,543,219,378,
102,168,797,315,041,836,178,736,018,285,290,037,435,930,105,940,657,509,165,
579,427,723,177,563,025,364,816,451,968,939,908,047,261,022,326,935,906,230,
997,736,400,998,796,335,328,495,817,177,401,203,354,448,232,491,118,813,933,
774,070,074,520,378,019,659,858,052,740,509,686,603,306,191,524,686,998,594,
508,817,865,853,564,279,039,296,690,006,415,161,176,349,811,311,497,831,189,
022,971,177,358,670,151,407,304,311,964,198,000,395,744,197,914,406,248,964,
306,673,814,395,990,513,068,936,800,088,918,180,411,829,034,007,147,616,167,
762,333,744,917,229,570,750,518,811,796,993,027,995,834,573,284,808,944,186,
314,898,496,849,448,450,469,824,894,462,324,730,858,337,422,811,556,929,234,
720,209,215,178,410,228,062,352,255,428,137,629,363,287,878,887,867,301,099,
252,877,881,172,948,796,639,561,333,667,340,301,824,096,973,800,490,820,497,
687,347,535,817,098,041,757,414,023,245,484,993,283,779,474,550,209,543,094,
738,619,671,481,468,219,528,888,295,320,584,574,087,182,946,409,472,186,276,
067,307,312,465,336,912,402,606,717,295,838,090,784,052,450,828,520,735,671,
104,778,448,198,231,505,481,755,025,324,983,255,600,318,219,822,465,492,570,
527,376,177,880,030,263,717,554,845,136,616,684,209,895,652,058,613,645,415,
022,409,523,515,008,879,737,267,956,389,194,140,367,058,540,993,633,053,158,
175,114,375,452,919,189,819,218,064,593,328,434,555,128,150,808,169,038,015,
908,429,728,289,501,243,730,586,603,027,946,807,687,181,282,449,915,999,043,
009,940,571,786,796,468,031,454,723,961,822,216,626,516,609,657,880,055,406,
249,474,665,530,086,540,468,497,969,458,333,277,363,355,639,519,579,837,245,
985,940,888,152,915,893,728,698,440,543,123,067,745,039,640,103,084,082,081,
237,054,861,024,237,089,157,118,332,080,949,817,872,810,993,146,274,521,126,
422,532,849,177,343,586,129,849,232,728,079,536,394,411,772,350,653,174,803,
017,096,506,343,178,709,634,226,795,791,989,418,614,996,568,584,518,433,222,
904,302,895,485,898,784,779,288,747,099,467,159,905,555,179,153,933,838,199,
360,156,562,660,108,306,532,818,216,280,117,227,321,461,647,077,385,431,728,
339,777,623,701,077,855,559,414,416,685,516,683,062,540,240,079,953,817,271,
207,364,452,989,704,497,945,494,981,272,580,602,470,764,278,606,218,919,088,
868,018,878,698,445,547,851,003,003,693,535,223,467,166,797,654,391,804,856,
786,611,899,561,746,964,296,197,880,148,808,895,860,370,542,647,056,042,174,
298,822,627,085,073,247,242,316,938,589,221,969,507,278,564,160,226,900,793,
619,493,144,791,526,061,054,078,837,146,081,327,705,410,144,439,920,773,529,
558,826,133,570,380,327,673,970,157,756,592,820,758,074,433,667,348,066,681,
371,737,841,063,449,024,440,234,661,646,559,309,125,936,069,031,216,060,738,
360,107,229,946,596,352,750,979,753,797,280,479,098,293,645,753,727,185,532,
101,528,633,431,195,186,089,922,052,375,941,306,179,073,901,235,265,857,752,
625,183,330,115,351,125,296,979,300,186,527,627,108,125,645,631,199,500,929,
065,928,026,391,775,338,017,286,020,760,365,165,725,143,264,770,541,058,260,
020,176,543,895,525,466,549,492,618,659,728,212,491,499,283,663,989,298,052,
418,220,787,241,657,512,549,616,968,511,942,326,648,416,500,656,462,710,845,
476,908,900,148,158,591,319,886,638,317,531,721,108,436,855,322,554,079,791,
779,408,958,324,626,094,114,810,310,885,115,011,411,063,169,351,207,023,281,
603,399,593,312,392,973,871,011,500,238,782,745,671,382,812,862,023,936,390,
053,305,993,578,606,508,493,015,740,790,522,846,064,623,635,468,790,281,802,
365,474,109,367,969,413,362,986,499,368,236,091,877,547,345,359,067,847,095,
337,317,291,612,637,065,914,212,616,620,795,046,149,525,028,240,953,874,161,
853,218,404,256,854,449,402,319,328,861,606,453,670,543,305,083,799,596,215,
329,788,103,966,265,612,086,688,200,932,828,806,364,702,948,601,265,532,425,
204,319,735,895,088,524,941,309,863,874,545,753,748,744,333,385,814,508,924,
283,154,426,786,260,140,360,939,808,886,544,509,174,047,329,899,377,717,652,
352,280,517,332,566,531,122,755,111,525,432,610,267,306,461,078,347,726,666,
869,720,768,479,348,437,240,396,814,970,151,434,805,903,854,332,737,721,983,
064,738,170,925,986,799,742,306,779,854,305,351,522,617,878,748,617,348,284,
795,285,288,289,328,149,705,454,676,597,480,645,798,661,217,608,154,489,937,
567,760,216,248,376,660,028,689,661,023,424,286,341,192,246,592,575,065,682,
475,855,848,998,138,772,270,228,852,460,343,894,614,812,322,816,820,835,516,
734,693,092,583,292,906,385,661,246,338,274,624,830,572,065,363,246,494,606,
545,536,319,197,574,847,441,071,808,206,168,243,541,271,076,071,450,535,046,
543,997,308,302,263,624,591,504,801,168,863,944,501,482,352,514,847,217,961,
198,443,416,701,652,445,577,873,078,922,748,765,923,709,078,513,454,536,588,
011,409,460,939,360,864,444,953,585,604,658,018,157,576,661,108,857,901,736,
111,667,985,427,862,200,923,342,624,960,908,025,203,141,472,851,392,785,907,
940,379,778,320,445,161,842,489,847,797,702,052,234,035,155,354,856,261,982,
841,105,684,725,795,625,682,535,808,160,861,542,486,075,985,164,171,970,717,
369,100,450,891,207,576,622,960,168,596,690,764,969,577,834,041,886,869,178,
336,318,380,603,796,771,328,644,248,361,235,075,677,397,345,824,715,749,619,
876,298,893,813,903,051,941,432,685,516,892,725,849,222,487,856,620,127,275,
877,752,014,416,571,555,783,966,716,018,701,809,978,782,564,500,987,442,097,
250,556,162,810,923,064,864,104,619,436,945,928,419,772,434,320,236,057,093,
779,970,281,054,349,568,512,918,649,917,126,216,796,355,119,421,305,808,591,
301,757,723,435,073,269,403,004,195,753,512,440,012,187,120,025,914,623,379,
867,174,793,544,854,813,819,766,574,296,019,746,668,826,719,699,385,587,634,
464,102,684,123,451,406,905,848,344,220,186,138,082,054,074,483,741,798,164,
147,509,706,742,379,116,394,294,590,912,292,534,632,226,792,955,123,362,620,
815,567,193,902,593,299,697,776,057,362,658,648,627,921,638,111,161,042,308,
658,884,129,919,874,302,061,492,429,613,123,441,379,294,514,893,387,580,998,
340,775,121,887,841,896,021,193,116,338,875,945,972,217,914,714,367,252,619,
772,979,513,364,950,694,274,335,642,152,002,684,614,303,946,914,235,136,371,
009,436,687,902,412,765,397,331,132,083,645,693,387,484,875,585,339,474,809,
290,160,546,180,709,738,840,103,562,173,333,648,485,688,937,421,980,861,919,
390,346,559,404,410,769,906,348,623,231,649,913,114,795,262,579,099,046,645,
880,735,996,517,410,675,934,007,062,974,331,401,935,876,517,222,750,250,456,
008,381,811,449,792,242,594,774,047,833,134,781,201,307,328,738,682,118,239,
346,162,732,710,761,918,018,511,136,084,548,830,999,391,897,898,726,830,167,
215,793,331,012,846,361,237,508,941,785,335,214,660,245,767,517,158,061,521,
812,299,828,400,031,412,461,094,465,503,010,571,664,154,167,809,397,024,797,
155,313,469,139,451,805,043,914,672,023,355,441,157,092,200,129,356,864,872,
167,629,503,600,255,612,146,823,188,891,032,284,780,794,704,983,408,517,119,
997,046,978,738,462,125,703,143,682,224,897,619,889,691,887,591,104,100,011,
601,850,850,471,864,469,764,208,785,588,237,521,723,774,601,097,357,121,096,
938,337,963,918,329,379,976,783,831,674,580,881,559,147,806,037,545,541,979,
091,460,053,452,994,318,551,579,638,051,810,022,140,733,705,684,451,818,039,
984,469,514,152,225,071,178,339,346,693,686,522,213,762,906,899,676,196,482,
117,430,859,410,090,591,426,244,247,845,451,944,392,564,285,252,954,518,469,
285,505,945,278,076,423,058,560,126,480,338,690,418,493,890,746,185,547,837,
740,384,370,606,779,369,933,586,813,094,108,808,377,924,234,433,193,308,123,
550,977,556,759,909,770,322,802,974,786,738,540,300,051,518,876,209,976,486,
814,284,366,140,417,368,136,321,401,608,427,523,347,829,526,857,184,300,388,
758,509,778,041,403,505,754,422,110,271,189,966,243,352,359,461,618,440,293,
403,556,350,654,391,433,567,975,578,524,067,694,116,405,890,552,727,420,849,
709,506,091,075,697,271,428,580,238,834,667,300,977,417,178,686,411,612,254,
017,159,668,022,240,503,291,310,675,775,172,140,507,381,897,246,127,762,175,
303,623,577,199,096,733,333,107,075,673,260,059,636,400,558,693,686,936,789,
864,937,074,795,870,154,808,769,231,688,738,737,681,920,348,122,313,124,620,
790,702,273,793,022,286,901,213,738,567,570,500,738,242,783,877,035,144,892,
780,830,908,532,623,786,522,074,244,972,723,695,298,022,432,676,593,324,830,
158,166,003,417,728,964,819,064,307,709,504,114,976,268,657,847,046,892,330,
941,442,950,245,504,158,501,360,946,414,900,433,274,056,981,249,299,034,750,
458,491,346,291,810,545,728,727,962,506,239,414,602,165,755,374,711,326,896,
395,037,642,872,679,394,957,615,771,779,858,596,546,864,290,384,060,387,258,
645,452,378,230,687,874,183,525,484,011,502,035,500,965,938,067,740,310,322,
198,385,735,313,808,545,638,447,931,145,325,139,858,249,744,488,490,965,048,
435,369,432,817,378,084,316,532,114,307,774,510,367,624,206,654,343,723,679,
964,121,197,045,641,215,067,259,700,194,770,678,596,432,315,271,936,453,593,
828,743,833,014,877,311,992,337,072,683,114,326,732,088,948,740,876,765,227,
569,282,379,674,206,395,085,507,768,172,900,264,652,413,056,153,154,454,980,
902,245,200,377,004,676,743,571,938,349,460,769,286,700,611,613,390,382,890,
223,471,827,776,369,282,368,917,552,363,392,240,668,364,272,596,215,098,222,
823,123,166,080,503,645,838,639,734,327,413,384,322,534,404,060,688,656,850,
105,257,650,192,289,401,822,069,309,016,890,391,251,650,608,240,556,249,938,
168,505,235,020,937,827,481,878,717,098,406,123,258,799,735,058,030,510,190,
619,462,582,881,731,496,821,825,115,479,028,333,920,523,584,900,761,318,447,
514,310,461,069,671,666,069,774,499,623,866,071,996,201,720,410,644,621,004,
314,224,932,609,013,191,097,878,448,087,938,880,590,463,421,385,359,829,212,
717,270,225,336,694,502,818,694,583,090,224,355,333,593,691,547,236,878,226,
355,274,127,257,429,795,630,153,049,114,300,048,043,367,342,483,737,805,500,
996,430,645,117,448,800,091,400,315,181,323,133,541,768,440,661,689,176,423,
426,369,513,478,094,590,047,040,726,726,444,333,922,425,636,967,623,716,214,
584,621,980,558,840,437,181,816,625,784,380,823,907,458,835,887,658,865,885,
152,959,197,171,748,276,290,238,079,591,001,887,890,157,739,708,794,635,109,
420,375,115,546,379,812,340,651,980,094,794,933,836,037,792,792,916,495,453,
521,990,594,348,831,719,228,691,909,852,009,546,125,199,007,773,722,151,501,
375,216,556,104,635,777,743,807,661,185,692,344,519,396,640,285,754,822,172,
970,690,837,916,379,818,617,010,832,252,747,389,144,580,565,000,717,504,493,
686,278,684,327,230,898,039,011,111,990,814,011,866,026,807,642,077,564,153,
861,931,155,931,726,882,904,003,579,073,603,829,441,588,027,705,671,886,084,
400,876,758,712,359,213,618,853,781,341,348,783,923,048,443,097,311,143,628,
639,795,102,558,865,669,142,182,028,612,106,346,979,097,693,357,048,720,021,
810,562,294,549,618,544,820,157,207,001,363,185,785,573,241,207,179,179,477,
676,036,490,388,006,718,372,613,695,167,680,262,378,872,253,736,067,732,613,
179,083,011,095,341,765,586,405,886,794,982,150,007,867,698,606,666,493,543,
187,085,408,481,613,645,271,653,678,832,049,349,654,372,017,350,206,070,903,
459,962,261,668,724,933,151,706,226,284,735,916,807,753,648,430,752,896,227,
014,356,505,734,065,613,542,789,004,234,243,463,478,036,102,955,556,006,504,
102,813,660,405,451,473,515,498,020,450,304,429,362,461,601,182,376,024,545,
086,166,507,784,617,023,314,851,444,299,070,394,324,739,071,211,401,901,896,
838,304,850,373,375,228,918,982,788,173,673,395,313,780,663,610,585,220,598,
784,081,592,346,733,379,434,440,431,391,292,312,395,135,751,219,513,166,417,
023,586,190,702,760,624,958,193,522,356,843,071,288,171,107,257,260,942,412,
666,430,020,824,546,326,549,804,564,350,533,642,434,990,503,572,989,156,321,
856,584,407,311,747,778,821,932,403,163,280,156,061,117,745,186,388,780,517,
601,639,784,461,192,174,492,780,818,444,938,089,930,440,300,846,202,982,953,
099,514,525,872,602,620,035,187,125,936,107,181,156,812,218,243,000,052,619,
697,365,004,774,953,528,697,192,205,295,791,860,896,524,261,105,419,540,636,
930,272,887,415,391,941,772,816,308,079,517,355,124,301,110,785,935,104,813,
614,583,112,430,006,709,047,273,276,124,779,690,754,352,795,821,169,015,679,
616,496,713,088,944,763,761,705,008,464,394,839,496,982,057,625,989,279,696,
737,167,567,122,262,809,805,479,557,755,918,413,640,702,623,876,397,717,947,
578,374,333,326,787,191,750,325,506,833,449,938,262,281,257,416,136,014,555,
682,724,741,058,378,105,801,375,416,963,892,030,355,310,492,487,884,121,733,
006,272,942,649,831,164,015,094,611,456,369,817,959,132,378,044,010,951,176,
079,651,650,577,696,151,615,735,449,572,985,811,343,155,401,550,917,334,060,
876,479,767,647,696,841,763,266,214,262,417,786,655,281,104,175,185,027,719,
444,519,915,139,180,004,405,076,166,658,181,072,812,151,931,032,322,959,465,
142,535,607,718,543,965,007,449,336,403,325,297,458,913,476,481,721,275,176,
479,083,634,394,133,275,764,484,694,304,451,939,950,800,569,316,681,095,080,
625,851,276,258,357,899,807,075,072,922,800,250,843,631,302,886,288,644,974,
567,167,139,086,630,660,889,567,036,452,309,448,184,460,135,860,425,505,768,
129,667,260,407,083,661,748,587,489,630,477,819,564,704,294,520,141,804,530,
070,255,400,016,999,537,420,927,837,998,688,790,426,911,204,298,293,077,470,
827,567,997,605,179,504,443,371,403,571,587,842,076,189,094,312,989,927,504,
375,346,577,361,704,664,443,346,107,934,193,693,452,102,070,770,669,497,807,
435,029,758,594,583,498,745,208,187,792,712,715,242,090,837,663,831,574,438,
100,092,658,373,671,203,952,271,621,044,990,456,579,547,020,883,765,798,364,
556,656,922,840,683,216,939,691,574,679,457,951,343,918,283,323,008,088,018,
765,249,434,146,569,911,910,151,273,379,217,307,150,843,153,514,257,845,140,
155,313,991,516,972,454,285,321,596,166,707,436,051,398,671,478,668,536,894,
848,257,757,125,120,523,852,152,351,637,865,896,301,009,325,439,738,163,531,
324,075,342,477,494,188,574,910,324,374,370,731,080,509,234,504,357,425,021,
091,215,030,480,730,996,931,688,183,536,375,609,337,667,615,931,198,707,101,
326,694,338,315,598,359,655,747,925,592,585,876,052,919,063,399,207,357,764,
358,892,617,343,574,270,171,399,934,429,161,499,414,886,299,669,853,941,017,
183,933,084,115,771,361,080,441,430,173,613,896,580,007,852,573,572,617,522,
675,875,964,763,926,269,385,438,404,290,151,957,385,456,580,022,301,323,399,
374,199,656,262,386,120,365,676,408,586,097,549,297,181,025,096,704,876,787,
896,296,588,571,729,007,374,416,253,698,834,536,208,758,221,099,526,306,567,
968,099,227,102,842,338,155,496,291,851,220,403,359,390,463,060,819,251,153,
037,853,331,944,532,062,947,619,900,776,520,516,033,017,458,753,608,927,561,
226,919,861,473,805,595,469,540,979,513,175,529,279,871,222,853,383,283,975,
569,683,268,957,342,403,798,112,837,614,830,960,349,587,798,016,924,599,216,
638,775,413,981,221,026,854,114,742,647,704,652,662,160,054,396,042,197,529,
256,448,724,580,949,292,096,230,078,475,074,977,382,314,201,193,997,148,944,
162,771,422,114,110,585,905,547,082,987,619,125,578,085,206,939,188,401,881,
568,246,041,543,794,451,927,056,486,524,119,011,929,348,153,454,582,014,723,
647,322,432,194,511,099,575,707,271,089,299,204,072,996,754,015,195,609,141,
052,527,691,092,837,910,013,390,973,239,533,239,213,600,713,238,841,847,329,
987,533,443,549,222,938,718,190,982,605,825,948,648,099,976,814,865,166,350,
711,816,567,218,984,189,945,457,513,815,686,760,645,868,771,336,512,856,190,
110,475,037,813,295,000,883,655,216,184,330,679,873,246,131,490,796,598,367,
580,246,531,764,117,967,311,843,965,965,755,474,739,224,942,065,872,050,242,
125,832,995,620,288,898,656,657,920,580,936,805,746,069,517,421,055,464,117,
279,650,200,387,289,623,123,278,336,012,403,117,312,519,708,308,763,420,070,
602,854,829,061,794,508,811,181,361,934,511,479,615,787,084,178,043,506,614,
744,390,387,867,972,082,273,911,309,257,079,300,997,240,181,774,513,368,209,
180,899,649,476,879,304,643,984,692,214,079,326,891,565,689,979,333,420,958,
894,282,158,964,159,248,941,552,793,095,615,465,465,112,966,349,722,809,400,
400,696,553,775,272,384,313,079,915,685,864,335,486,719,297,905,823,000,426,
059,142,478,346,313,642,900,843,199,757,801,812,141,003,313,322,022,813,143,
578,367,138,494,859,881,844,734,382,381,144,447,184,476,570,213,400,373,304,
034,258,619,058,094,317,901,274,889,767,702,252,083,728,813,794,229,163,823,
021,950,014,871,384,281,512,124,935,762,229,101,712,999,456,231,876,918,058,
177,332,055,018,370,592,318,826,821,073,509,209,807,429,699,383,746,772,188,
158,046,269,842,810,693,160,600,275,709,366,124,235,750,531,314,212,779,951,
590,992,309,208,309,693,705,008,079,052,211,771,888,615,630,604,418,278,126,
393,087,605,523,104,196,285,160,711,448,242,495,673,688,439,183,892,499,824,
635,228,118,916,038,948,398,678,347,651,839,594,962,105,231,962,105,622,003,
280,129,106,578,783,174,530,350,014,948,010,094,187,466,244,952,514,947,863,
770,088,549,156,040,948,130,833,706,401,636,873,936,452,944,422,566,525,829,
376,828,718,146,331,189,335,311,735,800,771,525,985,381,116,457,462,341,630,
317,926,173,612,749,876,866,469,405,159,938,450,927,555,157,525,030,244,420,
621,912,365,030,799,411,743,071,636,192,291,268,797,969,539,296,100,571,451,
215,148,079,131,726,733,194,189,831,960,949,281,810,171,929,158,169,783,989,
650,649,895,996,433,371,614,460,236,843,279,560,035,240,547,116,086,838,190,
595,935,532,875,172,879,971,452,508,593,269,129,444,893,751,888,637,964,807,
149,174,691,183,866,405,749,349,441,780,810,217,833,674,362,000,981,870,098,
371,186,432,437,887,759,074,865,359,798,036,610,165,335,259,175,050,031,504,
234,139,013,420,946,211,565,245,584,004,160,516,768,677,834,898,910,456,069,
756,581,577,349,152,522,064,742,858,181,881,365,455,056,876,089,230,027,021,
439,149,497,336,745,989,661,524,901,107,711,859,579,388,787,510,994,877,540,
042,473,910,478,017,851,852,584,449,168,768,127,442,878,611,687,780,260,374,
892,471,080,342,931,452,857,045,494,405,478,171,899,185,246,021,491,037,188,
700,297,531,237,850,584,681,032,914,416,162,430,526,576,561,895,016,389,147,
328,403,767,236,642,172,170,573,805,587,395,987,751,667,890,135,826,708,462,
063,965,583,691,935,696,441,805,640,913,757,530,676,674,969,052,882,396,908,
150,999,077,499,052,921,381,977,800,217,215,868,125,126,088,906,879,595,006,
280,160,358,198,063,061,664,753,372,130,206,962,640,434,682,614,190,446,811,
698,183,254,163,550,322,252,013,089,942,618,685,992,592,265,283,739,113,020,
825,894,311,590,502,194,594,714,731,528,981,432,491,557,767,302,382,885,024,
819,665,788,147,129,432,531,743,220,929,825,007,924,693,732,467,639,025,090,
614,312,470,654,449,372,283,047,280,299,164,334,421,423,066,381,554,975,411,
985,088,230,347,618,825,801,454,227,159,092,812,954,043,163,655,748,430,400,
585,450,863,229,230,061,950,225,740,388,154,741,224,971,244,433,583,074,947,
575,310,954,645,673,816,331,006,804,488,290,934,239,942,826,449,500,169,202,
763,290,902,910,338,482,375,893,429,616,412,639,923,892,649,300,622,062,343,
507,410,513,738,445,503,290,755,834,524,929,283,021,445,442,519,185,286,139,
576,738,660,421,517,754,839,265,085,024,588,636,742,332,639,675,521,501,919,
420,088,559,442,336,386,364,118,496,178,994,357,392,832,044,157,554,477,048,
881,404,260,973,004,377,206,944,757,128,744,733,196,040,533,695,047,135,813,
411,426,429,316,504,938,457,349,678,320,447,791,019,089,900,956,385,800,542,
993,399,806,268,901,730,031,920,622,840,286,433,635,495,805,630,017,061,745,
480,429,490,895,112,316,479,507,151,865,885,028,227,579,164,459,810,354,373,
575,527,515,109,994,564,430,580,080,628,426,321,044,318,633,145,899,957,386,
775,299,762,006,354,641,972,218,661,404,803,178,375,688,645,464,901,729,659,
108,206,391,046,154,556,411,177,996,607,544,861,224,486,677,951,644,809,407,
693,830,113,385,295,896,634,297,556,536,279,967,042,929,904,845,254,366,703,
815,603,420,809,423,898,220,932,892,968,780,468,740,688,771,567,870,237,745,
543,669,573,019,627,266,773,556,009,799,406,546,167,556,919,420,363,175,106,
472,598,144,359,134,990,700,883,333,167,974,295,514,525,628,034,039,461,159,
691,571,394,058,238,092,413,760,676,355,512,365,508,956,216,066,889,593,994,
538,954,589,341,134,426,347,439,807,671,268,903,361,855,565,000,248,233,075,
354,841,465,618,048,821,331,982,797,449,175,630,163,805,810,205,824,200,028,
064,725,829,426,208,386,515,199,585,088,737,042,353,052,515,791,368,419,806,
783,631,894,728,915,859,428,930,651,635,031,359,417,773,432,490,686,196,916,
161,733,744,861,501,016,394,349,343,479,468,912,793,146,371,015,185,553,440,
320,242,644,164,960,111,584,455,248,717,275,524,931,255,798,679,729,358,963,
680,679,985,503,367,946,452,816,211,606,817,321,577,553,069,576,149,957,978,
979,407,031,924,212,513,900,962,440,210,048,830,544,986,651,888,059,790,530,
430,567,045,189,685,009,512,709,673,774,185,851,228,964,195,726,458,065,375,
745,208,436,189,512,068,528,864,856,798,960,692,315,216,099,832,880,053,208,
296,504,945,241,215,897,853,437,480,557,808,797,376,062,476,496,145,262,851,
609,417,244,861,519,798,001,878,794,521,264,013,743,583,760,990,300,167,324,
446,644,783,263,846,463,371,465,591,738,763,595,401,063,186,140,069,768,967,
673,023,948,230,915,515,258,976,459,227,955,241,294,824,419,859,281,458,160,
482,808,107,007,742,132,062,316,002,572,840,938,691,843,471,424,472,041,784,
030,220,921,372,373,712,412,510,647,629,734,339,949,662,738,558,772,595,327,
583,175,657,194,264,574,244,320,709,406,345,152,863,806,339,581,395,454,318,
803,798,063,664,993,903,485,851,352,663,685,899,014,145,763,729,218,712,400,
783,161,274,721,836,053,449,274,310,960,502,427,964,736,741,921,428,646,616,
090,146,591,137,409,613,030,497,006,056,054,986,198,647,124,586,707,593,261,
053,212,436,411,752,197,302,964,656,261,210,303,210,414,829,139,470,410,829,
123,530,815,648,468,527,788,012,913,283,935,053,242,376,206,051,526,720,811,
230,441,718,642,432,129,220,337,796,905,168,973,353,267,472,768,085,326,591,
591,148,552,109,058,093,032,973,132,988,971,023,104,553,251,120,625,808,653,
261,664,370,021,939,386,095,735,172,363,183,582,096,734,000,891,130,748,190,
553,691,811,122,376,434,543,175,749,272,744,301,847,108,894,266,654,953,782,
522,482,948,433,772,686,546,694,870,947,067,883,390,700,668,645,658,230,254,
199,199,010,828,884,855,902,591,345,937,943,068,472,774,947,833,542,659,060,
245,157,271,764,069,941,286,560,150,692,096,027,112,880,254,179,795,382,965,
238,951,431,340,297,262,898,953,697,688,843,212,541,601,668,005,128,470,438,
539,120,273,182,349,775,590,700,349,302,247,679,004,019,398,583,356,350,826,
069,596,110,635,020,732,361,832,642,581,212,936,746,917,588,484,396,694,412,
235,089,249,698,494,406,076,363,700,968,285,762,415,407,021,644,962,498,979,
773,920,540,334,532,663,070,319,189,392,933,845,043,824,811,157,482,334,772,
562,855,782,116,999,923,989,708,059,314,674,319,073,431,996,691,665,806,003,
077,221,753,865,978,497,023,755,236,241,816,365,448,233,294,952,805,540,571,
526,628,647,078,663,734,935,430,658,444,130,221,621,882,810,134,875,021,919,
432,847,925,134,299,146,913,452,816,619,706,626,713,183,765,185,215,243,521,
110,604,838,883,848,832,440,662,544,016,211,742,021,277,470,017,857,135,896,
404,765,413,312,601,108,975,735,666,610,389,545,188,786,887,231,639,492,311,
183,989,146,079,704,124,054,487,563,344,703,202,767,500,681,004,172,671,171,
740,568,733,205,720,199,435,978,082,064,690,943,992,392,460,166,880,446,833,
732,370,886,634,164,391,416,062,850,222,787,536,007,229,945,152,463,346,005,
157,133,020,720,260,437,933,710,485,124,412,426,818,675,914,151,444,091,754,
766,756,374,337,288,004,581,441,270,187,555,996,086,074,226,536,500,170,343,
643,550,499,866,984,232,992,901,257,468,850,425,055,515,957,846,744,463,015,
620,471,001,391,365,194,036,542,349,367,470,247,641,396,362,721,518,381,991,
678,287,040,140,327,210,695,198,424,745,383,065,392,739,040,436,630,851,354,
710,899,404,667,349,034,877,496,342,407,243,251,626,722,860,891,886,758,859,
118,994,749,292,715,412,175,435,920,791,720,377,784,297,098,355,743,018,418,
320,845,654,163,130,563,068,599,322,084,169,289,031,168,860,270,583,444,927,
731,440,680,077,324,868,107,206,211,044,307,213,501,819,938,470,627,574,399,
329,768,813,902,775,428,131,037,265,407,860,038,731,890,868,023,699,342,072,
236,888,179,181,018,012,082,668,672,085,499,491,557,066,801,812,074,042,445,
236,798,883,822,437,973,598,496,914,467,804,183,652,748,345,645,130,476,382,
446,945,176,960,856,766,556,362,812,141,754,647,015,593,363,970,648,082,753,
525,972,731,524,184,845,378,625,638,920,734,271,455,823,583,745,094,989,676,
457,479,154,178,284,543,172,850,286,403,746,824,445,717,183,316,414,124,412,
973,775,039,891,158,678,931,870,561,043,651,381,650,797,316,556,523,000,113,
102,998,122,318,112,603,720,745,744,837,046,946,794,288,832,285,597,137,112,
151,816,594,367,366,769,349,228,390,236,396,878,909,791,488,526,048,550,503,
234,555,067,396,583,571,215,047,605,558,234,335,849,588,665,472,537,163,024,
122,152,957,748,545,892,536,715,964,414,053,113,499,095,821,583,551,755,559,
888,559,924,643,546,090,697,430,261,871,452,663,291,985,942,533,424,724,226,
694,201,524,737,515,789,958,971,021,050,639,287,466,722,258,740,086,791,893,
784,774,620,075,431,791,458,735,715,769,157,359,127,470,417,024,695,869,109,
663,077,331,803,007,181,334,187,650,460,249,901,262,111,927,355,310,638,811,
947,569,323,254,609,543,070,017,379,956,763,930,560,862,690,135,733,010,667,
087,457,526,502,831,717,382,339,044,093,000,551,262,456,737,874,493,684,930,
327,872,051,635,600,275,239,040,493,809,296,028,195,899,202,938,747,646,369,
012,882,245,042,091,032,906,808,929,842,574,410,379,120,175,448,283,601,525,
423,112,831,813,462,084,327,151,166,109,737,186,728,392,422,451,887,201,720,
300,947,931,660,927,853,271,555,075,820,234,389,362,386,420,754,785,295,215,
866,506,014,519,205,713,998,777,838,039,077,113,344,723,992,224,293,328,514,
490,545,463,625,121,648,228,707,444,294,448,967,165,962,426,894,792,461,456,
189,846,426,774,772,100,057,279,728,592,507,714,402,788,065,917,550,432,241,
587,837,747,697,286,392,361,520,790,104,715,004,967,369,921,362,831,483,473,
744,075,094,546,368,306,277,324,121,832,495,176,465,958,929,836,998,247,794,
398,167,605,489,072,523,993,096,994,589,952,142,334,853,065,825,686,714,822,
746,989,839,453,029,521,565,270,024,620,380,208,011,271,050,997,895,687,083,
397,905,266,011,264,884,207,715,489,566,983,644,786,012,998,829,809,786,345,
262,196,779,475,381,923,472,543,796,263,965,490,779,952,699,140,425,535,486,
579,602,246,033,992,362,514,279,076,228,175,221,869,723,946,716,167,055,278,
624,256,769,527,464,670,972,812,977,988,844,064,661,501,418,728,566,627,543,
150,290,007,512,159,164,881,127,751,668,058,116,954,207,278,072,078,192,304,
181,146,055,485,914,822,465,975,763,863,097,995,486,834,983,619,799,552,715,
125,645,704,157,998,013,133,629,707,417,780,830,923,792,081,582,604,758,019,
934,446,159,037,757,768,958,373,787,166,388,059,926,093,511,638,161,062,251,
515,442,715,316,264,867,387,814,626,226,116,242,371,266,258,460,858,913,147,
920,680,196,639,974,354,083,148,547,245,842,363,933,904,817,462,293,725,492,
351,697,712,591,064,611,439,907,327,275,499,980,045,749,090,411,614,991,831,
650,282,430,020,613,018,721,520,269,541,826,619,023,207,953,108,711,967,179,
614,599,950,672,865,949,557,255,326,218,330,694,393,907,988,926,560,935,076,
585,986,075,507,345,735,427,306,536,158,043,863,863,834,930,384,182,427,964,
310,207,974,135,408,326,751,962,626,691,462,151,431,708,885,996,679,916,845,
846,854,723,928,911,510,940,374,026,713,936,651,524,933,968,296,115,762,355,
414,822,459,192,847,994,108,140,153,956,018,418,724,800,062,708,400,867,353,
723,694,218,244,682,047,988,094,116,161,516,247,682,444,278,365,685,478,698,
427,900,757,221,876,254,286,627,134,289,307,636,350,334,408,995,368,682,067,
167,822,611,841,678,192,332,525,779,543,410,561,905,401,003,550,220,450,852,
710,994,617,960,540,604,721,323,116,821,532,805,487,225,936,203,359,176,343,
049,868,485,207,522,712,245,119,260,829,214,363,413,536,829,397,040,590,178,
610,871,767,230,571,227,721,754,133,207,512,986,879,243,254,378,509,468,955,
363,316,353,421,378,355,812,194,969,174,638,511,180,360,027,367,414,384,793,
742,537,330,810,974,181,778,494,492,782,418,373,399,166,870,758,294,953,758,
072,315,097,462,524,389,659,682,030,786,850,170,973,346,091,423,087,109,583,
278,350,301,850,916,010,041,068,160,399,590,357,734,479,514,150,207,788,661,
710,672,383,432,923,447,030,200,200,605,636,755,313,000,442,563,331,639,973,
117,104,412,358,807,302,390,102,078,480,756,600,780,703,726,392,650,421,712,
501,780,138,260,123,968,369,941,699,071,860,015,640,713,897,257,174,345,514,
512,772,852,614,445,526,373,358,472,750,030,034,839,778,297,303,643,035,985,
194,492,170,456,676,962,854,953,589,380,064,076,249,660,510,607,553,100,472,
555,348,783,771,742,364,928,854,373,063,980,045,383,225,887,681,890,292,798,
016,068,247,421,810,743,093,433,149,881,400,118,641,778,158,086,482,499,142,
224,643,227,100,236,843,841,804,675,767,710,218,657,182,679,115,127,828,287,
096,101,005,885,941,288,148,920,833,929,634,730,379,783,785,683,838,486,725,
005,350,770,977,263,343,055,844,278,579,193,110,001,715,508,567,463,096,735,
772,281,600,557,067,454,582,891,463,729,990,112,416,197,669,853,335,386,669,
367,750,579,210,793,861,164,633,676,191,748,681,621,030,675,084,265,260,948,
393,880,046,692,118,007,125,326,233,796,256,153,571,342,146,211,704,948,955,
337,855,693,414,175,543,662,750,048,716,462,157,787,666,590,400,050,537,748,
200,634,475,546,623,001,351,176,463,188,716,610,368,510,387,687,931,245,965,
060,379,673,372,627,971,244,299,171,492,866,814,915,003,321,714,270,058,662,
195,143,212,780,420,610,318,594,397,788,903,966,893,259,415,601,249,537,817,
223,302,909,432,509,044,838,533,018,094,230,739,049,322,970,247,550,232,966,
793,851,750,264,341,908,177,216,622,899,812,301,107,863,551,224,313,793,386,
359,887,018,848,154,119,393,446,343,122,115,580,359,532,247,616,832,222,364,
116,807,657,268,769,028,699,748,206,603,942,971,297,326,066,362,811,053,788,
288,394,342,135,192,330,533,658,812,831,760,215,964,494,769,530,659,865,837,
002,034,534,974,205,031,133,329,374,733,402,140,920,662,195,402,648,934,903,
258,037,556,681,517,445,381,820,283,206,150,835,398,271,997,404,107,459,546,
464,476,718,566,747,071,491,122,650,861,384,495,500,836,065,808,830,878,326,
725,088,545,399,337,013,893,908,405,250,925,320,278,196,125,119,553,116,590,
367,254,959,962,016,435,019,602,427,263,119,793,764,009,492,368,581,230,926,
350,338,762,798,639,507,080,482,440,728,418,667,735,297,412,944,548,951,822,
297,802,422,867,142,003,108,273,268,833,097,775,977,772,738,001,615,801,062,
757,671,318,752,110,785,922,850,697,628,561,577,276,498,246,487,708,814,100,
929,780,155,448,383,775,175,764,954,760,030,655,019,199,285,171,130,040,761,
744,665,810,266,308,426,757,212,417,284,776,235,711,915,352,570,889,060,270,
956,984,826,294,460,225,201,943,540,834,638,450,400,881,096,357,339,818,620,
845,014,945,087,586,628,431,077,698,287,051,318,281,485,091,012,457,673,987,
215,758,519,073,645,397,027,582,984,752,334,140,107,516,246,495,764,292,748,
297,470,870,570,527,260,646,358,681,231,049,377,267,130,725,319,638,176,811,
831,992,995,117,247,353,818,871,007,484,822,351,991,308,793,616,531,632,517,
208,834,639,762,541,694,654,568,883,276,376,032,131,949,973,290,630,064,828,
380,579,451,151,361,185,183,669,641,481,909,764,974,503,080,274,590,125,008,
734,026,300,810,697,953,277,652,311,122,204,115,835,201,604,742,454,626,687,
785,863,853,914,084,481,680,915,187,058,888,828,374,745,738,485,318,310,938,
693,866,335,955,235,315,210,602,740,622,136,222,439,805,361,991,573,958,381,
407,908,598,529,146,075,914,603,618,206,359,932,678,676,875,594,388,805,473,
355,027,226,894,257,948,209,514,157,105,845,283,729,521,194,694,805,464,336,
741,863,550,896,079,804,505,676,243,085,467,563,221,527,419,122,946,816,491,
839,260,528,213,443,517,981,466,978,094,941,469,231,057,580,425,003,265,992,
859,263,125,571,338,530,219,749,701,221,311,980,567,417,165,480,713,216,750,
118,753,002,445,073,255,924,144,712,292,575,619,889,353,350,002,066,608,149,
143,646,255,131,519,595,379,621,540,081,313,233,438,973,850,740,563,057,977,
085,484,278,294,521,793,457,700,767,693,405,508,554,961,748,630,091,586,230,
785,358,316,145,152,659,769,575,335,259,093,977,426,514,333,254,703,074,787,
507,251,901,256,137,410,193,545,163,678,400,063,352,867,040,582,378,232,027,
576,974,567,540,583,151,113,507,348,636,209,246,000,446,962,368,922,888,939,
320,478,178,739,325,022,641,669,194,695,115,326,111,297,208,006,606,877,963,
026,471,389,096,535,168,452,110,764,088,598,162,060,019,732,407,214,085,382,
241,704,730,634,751,363,628,793,414,539,787,038,338,580,345,620,365,917,525,
145,213,245,074,824,160,040,774,549,587,397,741,487,599,012,022,957,086,371,
743,869,088,020,718,868,590,312,596,136,402,499,824,026,823,489,457,652,754,
374,439,206,979,961,196,803,614,316,964,040,543,953,268,084,858,647,773,071,
432,485,141,314,214,908,341,216,703,369,990,642,912,826,353,502,516,248,417,
025,345,301,892,651,345,045,316,297,418,119,446,933,483,321,545,856,747,364,
541,380,010,883,314,849,159,861,037,320,410,252,039,098,302,861,183,145,876,
207,343,262,210,715,181,524,598,892,051,734,457,888,409,683,659,465,271,756,
927,413,542,874,429,853,272,582,965,909,709,067,205,833,500,844,793,871,757,
820,688,234,642,035,954,625,386,700,755,910,397,969,843,642,487,921,656,047,
170,254,556,412,357,213,075,972,511,079,553,677,780,400,252,676,643,992,905,
502,827,277,991,723,225,357,687,772,450,743,680,787,537,130,429,920,518,261,
310,682,495,590,151,210,335,519,490,577,640,993,510,389,936,233,160,898,543,
915,358,256,189,001,480,484,714,285,955,370,882,277,622,947,910,543,621,097,
813,697,036,270,506,556,329,273,627,565,960,029,753,215,104,446,274,910,743,
332,475,330,539,522,756,955,829,938,987,723,030,872,213,929,465,299,764,374,
763,784,334,225,543,962,121,296,863,033,117,083,502,878,627,659,958,116,656,
783,859,069,335,476,490,324,807,478,411,162,270,734,757,234,125,265,411,678,
512,859,772,064,034,701,319,250,083,709,814,601,781,788,913,561,679,163,799,
858,831,000,349,941,919,502,587,399,845,041,448,789,305,132,863,739,128,181,
402,587,799,860,323,335,390,757,906,217,944,575,668,185,390,730,723,954,040,
682,079,312,772,617,354,021,814,716,790,937,622,030,467,523,121,999,591,583,
282,308,512,555,602,660,161,994,508,042,290,225,039,961,898,897,631,240,576,
005,912,207,922,993,214,715,790,906,060,398,737,720,817,113,514,819,417,886,
125,132,608,318,379,630,943,450,664,345,594,464,412,306,067,425,705,545,743,
134,563,063,790,849,876,949,685,776,824,149,719,051,554,542,902,226,007,516,
328,970,784,794,861,538,119,202,444,412,193,087,302,001,772,556,619,124,889,
492,336,439,396,699,053,740,581,458,757,345,372,984,605,238,769,814,215,982,
968,938,130,592,952,185,712,922,170,060,427,163,686,651,718,414,056,398,362,
970,397,361,116,133,605,998,698,504,161,016,191,857,051,862,266,360,519,300,
004,103,863,211,170,043,420,661,292,146,316,221,122,819,006,837,567,420,375,
762,727,854,525,749,282,626,426,741,405,830,998,266,464,714,398,926,713,224,
630,881,467,468,824,011,378,186,046,228,637,359,445,230,550,238,385,000,717,
621,477,961,077,478,906,171,066,220,818,349,986,457,873,288,104,125,032,890,
174,148,789,680,349,790,855,068,539,030,821,593,286,378,804,899,212,197,729,
810,654,705,505,925,099,820,097,511,514,738,280,113,432,899,293,947,014,480,
204,740,128,977,716,477,622,385,967,420,322,091,383,897,845,913,510,115,176,
810,855,164,701,348,687,682,173,228,185,508,024,771,836,143,381,490,835,760,
506,902,124,445,174,504,543,157,884,344,429,386,375,650,516,301,881,169,324,
488,065,631,330,786,610,831,387,946,789,928,967,984,192,759,123,577,133,722,
015,090,656,361,615,169,150,803,576,321,748,024,468,551,595,352,449,089,307,
853,443,912,232,530,201,958,276,716,261,689,606,350,333,800,119,843,593,166,
822,104,927,668,228,543,973,537,193,870,019,211,877,940,070,065,405,765,448,
946,254,814,741,207,874,508,488,921,075,952,149,134,232,601,436,260,819,548,
193,747,074,298,711,480,462,510,090,699,143,648,544,079,954,022,300,369,171,
447,069,741,117,433,770,083,495,723,452,604,546,964,391,134,633,461,705,862,
311,238,296,370,724,168,637,053,268,200,931,024,482,015,170,814,471,947,449,
160,218,038,293,528,209,558,817,366,308,058,041,171,036,072,467,888,156,007,
194,751,123,208,375,002,857,254,650,318,068,839,003,486,179,850,616,474,588,
589,188,906,465,842,274,494,420,753,409,678,088,360,636,553,641,101,823,826,
221,394,598,803,943,834,636,799,841,134,373,484,519,885,821,365,598,672,889,
418,279,242,276,983,772,335,703,438,223,055,426,326,865,406,261,582,467,334,
220,083,676,187,495,019,681,718,846,496,174,792,482,483,092,684,635,791,706,
577,231,346,581,862,160,180,700,674,921,186,537,064,596,971,160,276,613,946,
224,898,715,248,911,526,343,373,394,440,078,207,148,322,481,047,206,226,043,
301,979,532,666,867,118,289,421,236,197,804,518,590,139,184,206,063,582,967,
512,137,349,718,401,234,433,946,466,745,225,928,869,763,428,813,690,061,799,
119,265,085,358,919,485,847,539,855,884,747,930,992,369,913,113,080,291,095,
891,646,434,130,184,389,342,625,578,514,314,672,979,819,980,222,709,026,033,
435,501,619,774,224,159,193,573,083,630,264,243,170,603,933,847,067,626,563,
099,729,014,680,616,212,391,320,897,140,696,221,886,504,621,399,748,072,864,
105,389,689,253,604,625,517,435,029,164,990,936,614,177,679,885,349,049,919,
789,469,205,143,910,063,860,083,682,445,375,030,707,940,368,865,937,198,292,
917,979,330,012,359,626,260,358,593,108,566,253,977,050,511,140,876,859,376,
615,568,055,044,369,628,370,846,012,458,393,700,243,614,508,796,701,064,158,
873,306,894,445,411,978,845,670,214,816,047,789,895,264,997,967,833,864,809,
600,259,034,514,712,178,532,127,087,710,605,239,037,270,547,347,315,004,708,
023,109,854,117,255,688,527,957,834,401,241,513,222,100,383,832,588,626,758,
936,051,255,570,314,079,543,881,134,792,165,790,218,632,819,609,272,257,302,
089,627,177,046,650,629,337,597,533,011,554,291,332,030,637,231,532,422,781,
941,950,556,598,368,591,741,548,565,159,134,076,704,308,110,641,746,940,552,
524,679,663,327,077,101,786,052,933,327,807,377,120,733,129,358,485,298,123,
142,824,742,422,242,841,446,058,148,437,854,835,921,499,364,192,595,444,630,
573,897,593,264,568,172,085,055,041,720,658,689,402,576,927,096,404,609,660,
498,897,340,123,567,656,646,829,460,806,449,517,481,722,095,082,841,266,224,
773,290,000,697,785,086,096,660,475,766,355,123,552,219,606,321,093,614,630,
512,961,312,701,513,623,627,401,626,988,563,674,344,145,863,312,859,518,636,
497,969,014,670,344,853,506,432,409,717,820,158,762,358,756,271,439,328,172,
002,106,886,856,603,949,516,553,005,207,589,985,393,836,682,413,928,591,362,
969,797,545,293,747,875,562,251,733,788,129,346,612,820,249,581,875,801,538,
982,909,229,680,239,843,652,496,065,954,651,611,185,935,027,401,269,092,348,
109,881,035,430,633,196,680,538,196,249,869,100,142,359,495,359,210,098,076,
722,243,638,322,995,959,856,445,929,207,720,348,528,596,307,664,572,977,796,
126,983,860,676,778,488,084,241,891,622,758,667,301,011,225,062,081,136,133,
188,673,813,997,148,635,793,691,706,412,337,591,345,125,328,685,273,220,805,
380,288,186,179,633,717,849,328,757,225,929,848,122,303,164,149,623,339,916,
433,929,354,447,512,566,707,862,348,065,148,639,703,769,822,876,828,244,163,
168,451,404,309,192,962,274,689,355,734,493,831,981,147,605,890,933,166,150,
626,152,928,332,924,198,701,718,552,702,877,392,581,037,861,190,649,115,490,
321,144,283,767,142,613,355,845,795,910,057,637,581,753,177,775,569,731,050,
673,757,054,990,490,411,196,527,346,834,617,661,796,012,427,562,545,600,531,
407,031,560,657,145,733,570,634,387,984,058,443,758,760,474,390,789,001,610,
261,283,724,529,594,842,780,459,139,640,376,209,987,651,924,741,467,454,759,
715,786,628,421,208,355,021,739,280,399,511,677,960,255,237,563,998,839,488,
325,235,284,075,084,135,115,875,536,689,356,485,865,360,171,013,558,402,662,
238,881,776,910,438,021,943,764,808,810,495,069,003,658,274,527,742,082,605,
533,583,501,121,884,560,169,465,240,814,617,135,632,646,818,931,862,979,244,
108,512,883,403,442,572,034,670,071,139,919,220,080,508,502,544,796,877,555,
663,380,873,718,755,220,287,083,979,964,821,163,133,411,537,929,041,650,854,
076,219,404,729,445,410,183,953,657,346,246,797,337,763,873,108,669,000,376,
810,851,042,629,463,523,710,058,401,271,087,067,140,357,559,509,709,102,743,
761,983,869,273,144,214,691,419,130,699,764,331,020,783,404,013,646,955,782,
971,725,721,371,438,651,501,910,684,626,304,081,041,451,042,457,413,958,995,
293,341,568,567,905,516,322,524,468,581,637,166,367,166,273,510,185,018,388,
007,476,167,427,952,194,065,179,261,483,697,476,499,534,339,866,394,526,766,
139,300,293,184,269,661,512,122,528,304,258,005,953,307,024,622,656,522,063,
109,850,829,437,375,787,472,941,337,164,240,319,293,372,135,412,623,857,542,
902,114,618,735,645,619,464,464,540,721,603,108,883,565,966,835,165,162,886,
179,748,378,709,970,881,480,649,525,930,391,228,718,471,424,070,652,353,282,
978,728,487,971,477,929,902,552,572,750,391,701,736,434,541,974,793,756,892,
114,892,665,963,816,802,474,329,538,548,130,027,642,454,699,024,130,759,191,
073,547,706,769,746,119,674,633,428,058,629,841,470,001,586,011,240,669,430,
919,753,200,972,382,378,279,815,257,134,984,030,247,507,197,593,578,644,914,
325,106,832,356,432,108,885,212,471,352,779,933,923,968,429,974,119,898,522,
859,063,749,800,039,395,391,798,175,224,819,380,706,719,654,953,379,979,891,
243,995,623,252,025,088,157,600,370,525,755,477,422,484,673,598,474,678,991,
270,611,129,512,985,324,487,716,910,299,683,383,344,041,002,734,577,654,538,
891,631,465,681,865,294,530,104,617,322,580,136,204,881,721,083,588,947,360,
009,587,279,581,200,175,033,701,411,679,656,766,238,142,840,463,600,797,717,
951,683,423,033,226,225,366,817,786,901,634,486,295,161,354,286,306,130,337,
947,860,763,976,113,550,926,006,845,532,365,147,248,431,918,460,645,636,887,
076,985,007,140,694,064,027,957,827,505,751,910,397,774,919,364,741,579,411,
562,762,321,871,942,416,201,581,946,719,357,601,151,001,817,351,445,256,318,
640,086,993,212,487,211,514,023,629,648,122,763,640,217,917,836,630,315,447,
084,290,476,331,621,769,295,448,792,726,833,261,300,146,904,658,475,280,268,
357,074,692,235,820,249,109,343,985,609,660,819,705,452,611,604,907,588,428,
524,351,999,854,152,704,890,167,151,662,979,747,363,588,321,430,618,091,121,
360,855,991,150,227,002,607,463,230,799,589,126,681,251,753,147,087,655,935,
938,013,558,708,221,656,008,167,814,931,338,087,251,892,079,662,803,837,930,
345,474,295,671,768,701,426,580,860,956,725,718,752,521,164,423,072,372,521,
356,262,488,816,501,288,349,687,926,031,187,291,750,065,943,729,833,568,824,
463,632,233,286,403,814,027,132,254,144,681,130,504,881,390,985,436,263,681,
298,055,431,721,866,326,611,474,430,799,192,658,493,687,475,904,973,245,159,
730,076,072,028,214,970,016,957,675,219,410,710,817,099,031,510,575,017,202,
536,411,837,822,166,094,309,463,835,462,382,394,558,798,342,924,061,020,186,
954,375,582,404,155,689,508,001,097,523,393,318,178,729,364,094,396,447,679,
628,106,504,708,795,446,484,293,915,769,458,868,078,564,216,813,470,967,925,
585,365,808,382,606,725,394,028,518,949,163,418,825,666,919,071,573,240,974,
965,246,686,664,923,029,559,741,143,245,451,990,740,173,666,703,888,158,960,
373,145,360,579,605,767,495,857,414,412,279,634,322,523,351,581,358,443,478,
428,014,047,023,381,020,614,403,854,988,024,494,799,349,547,801,408,623,063,
558,553,484,813,630,188,058,453,355,341,999,360,421,565,669,057,504,866,979,
946,535,054,721,458,311,261,348,976,776,220,770,445,002,516,855,502,641,798,
843,770,491,446,334,445,181,717,232,060,481,144,956,269,541,487,872,405,868,
470,107,562,055,212,369,832,931,032,821,218,416,388,307,211,768,999,008,916,
534,786,173,053,768,974,695,435,731,595,465,610,513,012,804,010,230,942,564,
937,227,376,711,990,234,414,554,349,583,222,337,590,009,187,734,022,815,217,
543,775,716,707,389,508,920,997,438,813,031,294,963,925,876,927,716,156,491,
261,643,092,810,649,770,297,290,014,690,396,067,682,837,494,094,213,447,784,
533,453,813,610,221,624,497,001,751,235,972,604,075,641,573,970,362,847,191,
143,311,144,251,973,076,500,709,114,387,420,590,050,549,942,856,761,443,179,
380,584,816,673,825,373,353,113,103,745,285,595,504,712,074,089,680,383,679,
978,587,658,859,475,654,374,327,265,905,390,665,509,681,533,612,210,739,707,
963,592,636,916,045,469,188,270,640,790,369,923,612,526,005,743,351,416,507,
034,020,630,533,830,941,079,464,066,527,425,853,680,501,417,634,691,562,271,
307,946,813,365,783,198,547,185,516,587,366,857,118,945,323,840,413,969,144,
792,256,786,564,594,554,845,405,227,133,494,743,719,950,166,206,706,021,435,
098,569,174,599,188,091,771,147,215,679,954,287,309,549,464,710,068,936,288,
110,553,028,512,581,802,413,930,397,897,061,693,904,599,522,625,788,736,371,
662,055,519,444,622,274,359,191,779,975,858,450,032,119,960,562,612,991,297,
056,888,503,235,475,086,935,861,352,687,733,940,355,609,647,111,147,612,785,
456,370,400,203,962,627,168,463,844,502,649,272,178,720,281,710,704,841,042,
254,922,332,968,900,686,306,905,568,324,574,834,219,357,982,707,507,817,253,
283,410,050,564,059,932,319,344,608,395,941,336,894,980,699,825,195,884,359,
636,387,833,895,530,552,578,864,675,413,635,216,704,266,005,575,531,107,046,
615,150,492,039,599,054,839,742,527,681,789,987,457,901,403,451,004,005,256,
036,919,578,072,860,949,958,157,847,382,018,546,469,922,563,088,128,130,390,
509,023,746,800,648,769,564,579,160,929,295,049,553,942,520,841,767,513,295,
489,132,308,061,484,195,462,806,389,866,923,634,531,356,657,601,698,754,999,
811,929,230,390,184,518,656,566,646,265,407,471,001,375,490,037,320,294,022,
877,378,376,927,948,243,110,371,080,109,056,684,342,205,706,128,874,836,427,
547,862,733,157,144,720,742,965,106,158,027,345,446,969,575,841,054,725,175,
740,534,870,951,533,047,397,727,378,981,010,962,795,269,267,064,316,835,601,
215,898,440,505,968,197,372,847,491,090,036,712,354,591,864,725,848,384,902,
313,862,713,619,744,952,116,950,532,054,724,014,421,487,197,089,434,116,299,
079,376,370,467,118,505,348,809,281,579,224,556,524,732,229,978,276,969,049,
336,298,367,893,063,613,761,236,687,983,109,702,967,251,003,641,241,625,659,
023,496,130,960,164,593,447,765,562,301,307,667,208,129,913,280,189,332,006,
812,844,133,973,846,343,667,815,567,343,385,056,425,405,968,789,889,061,375,
900,057,526,099,438,010,402,816,438,976,248,520,772,499,238,481,086,366,312,
710,504,554,200,545,337,716,702,757,891,482,802,093,721,835,504,850,927,047,
303,393,249,084,104,234,738,288,352,713,445,017,378,592,694,189,487,844,941,
507,792,425,156,899,967,719,649,644,228,238,423,246,847,199,071,246,495,807,
510,466,807,681,395,770,507,963,282,835,547,727,876,986,684,731,435,434,734,
987,157,606,485,891,346,146,627,763,798,944,737,734,142,723,175,975,902,948,
828,422,128,891,133,457,040,476,948,572,243,111,153,805,335,493,216,653,099,
063,930,526,527,582,113,649,078,810,302,987,781,763,708,406,210,807,726,191,
751,377,464,612,464,904,881,419,424,568,266,343,666,626,655,877,919,263,450,
028,709,184,434,730,559,050,667,059,178,464,782,378,876,568,773,337,577,010,
347,685,814,177,019,110,520,130,371,393,084,087,238,746,541,207,257,304,621,
522,315,137,987,364,223,508,318,286,185,592,639,603,609,631,096,542,255,594,
840,371,835,485,183,265,806,742,338,712,224,262,080,592,510,089,494,367,840,
593,879,270,492,628,364,888,487,210,510,016,969,813,734,811,400,402,586,390,
215,144,001,473,684,927,806,405,863,697,697,327,213,187,004,883,617,143,698,
191,541,360,629,057,219,235,087,579,613,950,659,925,941,824,544,239,289,113,
029,690,475,170,888,486,532,783,615,117,665,517,652,770,928,036,248,265,426,
514,237,844,188,242,759,378,862,311,422,069,867,639,494,973,040,540,465,508,
596,909,068,739,727,105,900,589,711,143,953,542,134,491,948,640,608,885,934,
683,039,317,680,964,135,889,786,025,024,921,758,065,513,719,106,880,975,692,
807,539,678,453,702,830,688,638,960,191,175,585,233,812,398,649,444,954,854,
243,355,120,295,732,932,232,058,897,637,416,286,801,588,997,189,871,852,764,
090,844,693,894,064,662,976,426,926,331,631,409,740,118,493,522,628,874,467,
701,610,824,591,510,742,807,377,336,315,688,029,857,196,861,848,033,697,096,
131,372,986,105,845,277,914,113,705,674,351,337,628,257,373,425,291,333,763,
400,971,985,327,594,845,013,817,243,681,174,320,155,798,369,938,911,004,244,
616,859,420,701,331,549,956,297,165,107,047,646,553,514,782,680,261,432,845,
367,512,594,998,144,541,469,747,418,147,737,163,239,374,006,731,393,039,456,
426,981,262,221,878,998,947,437,180,540,049,788,083,288,308,400,882,214,659,
461,660,694,212,353,712,071,686,746,948,325,581,433,318,199,095,636,474,858,
937,347,610,241,790,779,493,924,881,297,518,940,787,803,927,522,857,977,091,
080,304,091,024,070,866,657,770,054,237,684,577,845,037,257,167,625,007,080,
279,272,563,733,813,524,569,850,950,515,116,097,651,419,734,822,025,857,134,
629,223,570,623,542,183,798,941,860,160,338,778,305,830,859,375,292,484,020,
725,320,765,312,725,228,340,989,976,144,599,573,302,248,659,876,151,074,255,
492,527,763,674,877,675,486,359,398,578,544,852,546,730,527,329,215,382,586,
188,516,537,284,889,218,024,729,834,969,522,133,102,797,724,545,015,370,211,
416,146,596,172,784,198,901,226,963,331,605,584,783,552,996,357,931,194,841,
380,626,351,890,796,965,982,598,506,658,504,495,344,858,502,049,365,199,493,
231,268,129,017,307,608,253,075,549,383,744,375,299,074,838,057,690,735,325,
414,600,340,997,148,479,110,156,837,471,704,707,966,434,231,245,997,609,629,
413,897,595,199,139,499,388,651,672,677,695,882,356,429,907,637,840,488,100,
647,348,793,571,556,704,845,284,696,810,681,103,682,774,282,271,049,516,449,
594,917,956,357,229,751,167,497,070,951,308,961,862,343,819,990,642,870,881,
842,200,346,299,441,830,656,197,002,511,339,736,873,704,256,547,537,412,008,
848,821,269,137,866,405,273,756,053,417,659,524,405,846,198,510,435,804,817,
609,258,256,653,546,336,777,746,957,656,190,127,421,907,797,489,308,358,347,
602,467,448,417,977,023,629,493,510,128,183,726,562,642,810,214,643,160,311,
248,653,290,681,501,935,089,028,204,516,300,442,250,489,076,918,413,727,465,
136,306,532,983,457,616,436,828,741,603,072,266,445,117,232,511,156,628,295,
102,153,258,856,807,291,262,907,402,427,676,250,300,049,691,815,953,697,895,
473,248,922,717,272,783,051,303,747,383,905,446,157,077,010,618,633,741,205,
800,829,011,188,937,122,413,887,454,097,768,352,808,717,935,834,594,570,595,
033,160,426,805,201,192,387,200,184,592,214,797,879,296,939,443,580,223,627,
499,789,425,341,502,183,563,947,885,303,324,215,027,574,175,482,614,798,229,
615,625,229,525,583,220,738,241,584,361,917,490,336,073,887,294,093,050,870,
289,151,747,904,277,458,285,956,545,869,115,823,927,915,242,205,376,735,104,
065,039,260,659,925,823,364,565,340,489,563,595,969,609,658,793,888,452,976,
450,537,288,242,667,770,457,461,467,096,800,623,919,496,370,186,638,467,165,
030,643,745,219,183,889,268,795,558,667,397,257,297,186,846,819,998,743,809,
632,399,086,709,497,849,558,175,380,507,261,642,540,401,839,188,049,299,118,
880,434,225,535,872,781,454,932,781,926,041,810,708,366,369,130,839,005,132,
036,343,162,392,096,824,174,016,260,731,459,807,866,243,350,577,517,751,520,
278,463,923,185,961,522,445,096,325,973,933,780,516,029,283,039,202,437,342,
772,913,258,310,808,292,674,459,069,304,038,209,336,603,167,330,538,169,714,
922,830,891,340,488,480,652,504,132,659,375,835,139,430,091,470,380,258,306,
710,200,652,631,674,254,132,348,742,006,620,051,778,360,247,775,780,822,112,
059,109,620,224,792,809,109,810,416,991,473,124,378,312,136,272,493,903,664,
419,780,821,673,092,908,484,270,257,653,586,249,268,402,152,102,923,622,241,
675,270,062,038,351,853,836,242,057,979,562,365,754,180,522,640,775,808,799,
168,050,724,663,091,021,110,640,713,732,654,371,538,284,627,835,036,871,235,
686,312,832,859,647,537,497,922,940,672,553,492,198,639,985,941,421,328,822,
841,558,834,186,617,097,890,032,794,007,119,658,001,741,847,321,073,290,514,
375,625,800,172,100,591,816,698,548,422,828,209,517,048,231,459,034,448,339,
845,778,678,788,275,272,933,211,370,248,826,915,740,821,228,530,967,670,040,
424,749,870,562,497,737,591,526,188,746,122,399,346,572,475,758,359,045,116,
201,520,041,410,324,863,042,623,700,359,653,657,718,737,386,683,369,510,437,
452,129,603,533,016,109,331,770,553,628,293,908,283,508,283,029,474,489,381,
428,585,186,063,269,051,948,041,484,987,523,295,207,812,444,380,581,168,784,
236,339,934,665,811,141,402,637,594,243,240,505,704,142,559,203,264,431,550,
840,097,001,123,134,573,612,532,181,554,244,091,235,716,444,271,260,099,647,
143,754,615,705,336,776,406,112,806,447,698,531,377,485,790,934,486,191,751,
001,425,658,827,922,672,758,724,435,833,496,034,185,016,502,654,043,225,274,
211,264,597,876,494,508,027,101,462,672,879,513,157,664,540,296,118,988,461,
517,562,287,779,416,046,479,455,439,847,450,659,271,875,840,018,274,215,314,
128,783,410,917,720,766,071,721,577,645,770,308,109,173,354,277,921,759,642,
677,444,945,326,444,453,342,367,761,986,098,593,422,035,812,532,956,915,590,
922,644,409,599,917,089,008,341,261,909,475,766,388,858,865,025,369,221,704,
536,063,146,911,261,733,938,151,485,448,207,910,158,794,378,181,980,192,834,
144,386,508,266,484,528,623,747,196,872,484,641,651,684,970,303,576,894,432,
082,208,253,845,046,902,212,188,844,863,234,096,535,188,608,063,828,909,783,
062,601,809,726,558,580,699,334,390,701,220,587,984,901,492,599,101,441,097,
165,740,217,855,063,188,712,057,371,791,029,386,884,312,213,630,421,865,855,
839,708,079,299,034,709,628,828,652,570,072,001,469,864,383,616,112,205,795,
711,893,178,616,474,400,343,466,950,241,589,420,492,643,137,511,944,625,299,
025,067,508,397,549,537,110,204,097,671,089,160,774,311,941,648,724,071,539,
640,600,394,893,899,829,833,173,634,694,449,234,901,593,944,452,760,375,935,
779,738,184,023,388,730,555,965,977,908,357,721,998,458,839,641,330,024,011,
206,893,398,769,504,516,311,999,277,324,215,305,304,884,627,006,893,115,330,
533,543,617,885,459,001,333,136,396,133,618,679,941,316,133,394,540,429,235,
232,062,568,233,506,419,154,102,845,934,855,385,577,016,286,468,955,134,186,
303,427,705,164,660,408,339,750,506,123,503,033,401,432,187,391,461,278,268,
712,994,693,364,443,988,006,890,581,154,094,855,504,090,336,251,377,260,406,
792,973,785,618,638,094,980,495,058,590,567,944,234,701,572,131,723,898,314,
015,527,001,055,680,374,901,324,146,615,947,164,664,009,468,934,259,990,895,
457,519,991,931,858,572,368,128,585,502,840,191,026,919,197,154,413,861,419,
929,169,082,308,634,944,015,089,212,713,547,495,441,112,243,265,523,556,026,
904,476,521,655,133,297,179,258,401,940,644,439,685,327,819,685,828,352,871,
978,555,754,904,918,381,860,621,275,851,807,377,779,734,074,487,125,309,939,
312,358,505,347,396,767,225,694,426,737,564,523,775,563,711,167,243,430,954,
428,845,447,324,445,851,645,796,057,683,712,643,519,268,865,255,299,902,033,
538,632,074,011,918,773,683,926,549,960,635,616,171,744,346,844,010,489,373,
904,512,451,241,704,178,211,708,767,585,306,835,191,092,731,865,006,997,155,
078,532,710,724,517,257,593,756,205,997,593,827,869,744,827,282,953,113,170,
547,840,335,595,821,435,245,293,805,101,727,934,442,377,273,462,128,809,135,
027,530,970,530,611,118,933,786,331,187,203,192,692,565,271,771,223,102,737,
408,570,399,160,545,113,156,506,714,925,735,357,308,777,440,766,134,038,070,
199,501,927,422,415,215,368,669,415,351,654,038,002,849,626,075,958,735,373,
233,047,566,925,213,235,570,530,833,546,296,706,559,508,522,858,072,133,636,
512,854,279,749,092,967,694,504,119,593,055,394,981,965,354,436,646,899,136,
404,208,347,257,212,893,265,633,083,053,427,036,602,609,912,650,658,642,130,
747,550,419,322,332,888,255,073,325,392,539,121,147,286,945,312,812,270,940,
289,406,804,720,432,906,213,764,550,948,777,056,151,576,032,160,401,066,854,
658,157,097,418,031,225,070,173,570,909,195,559,867,051,400,367,889,295,097,
177,679,819,221,284,791,822,422,343,485,016,715,702,655,205,766,299,067,262,
896,301,146,441,796,950,527,926,218,824,183,512,334,671,577,269,831,925,286,
280,025,590,962,171,573,417,697,173,310,316,628,563,546,645,064,733,988,298,
165,366,403,145,291,603,609,069,157,431,472,525,284,845,415,645,395,970,247,
479,559,800,415,590,948,568,169,697,679,840,343,447,835,171,306,697,071,966,
790,824,134,195,831,249,862,103,102,730,453,228,780,624,906,170,250,390,401,
238,336,305,578,024,443,391,667,681,703,074,879,983,450,303,108,314,759,008,
020,651,423,229,702,617,929,944,439,891,172,280,756,688,730,516,283,697,817,
205,421,800,780,149,946,273,680,207,169,125,735,828,734,223,472,599,662,033,
480,592,603,107,618,667,641,544,476,827,504,209,940,490,820,037,392,156,567,
747,414,125,463,830,801,390,093,292,414,297,590,953,149,755,290,634,268,971,
867,512,920,346,132,827,071,788,229,542,168,158,588,771,806,417,542,277,049,
795,859,248,649,488,676,517,665,335,682,703,006,518,263,880,143,039,179,448,
668,389,889,734,518,239,219,605,280,203,476,318,908,118,882,245,889,509,416,
472,671,590,385,424,889,946,013,231,249,192,058,617,595,681,005,590,425,674,
458,964,777,471,741,950,734,177,936,210,808,834,719,937,842,033,368,501,997,
569,140,444,209,985,216,126,197,139,428,031,193,695,348,406,778,662,277,939,
635,174,224,145,227,984,097,089,476,868,757,279,596,962,406,501,865,761,611,
257,917,935,326,947,329,553,788,920,687,600,928,605,423,115,757,646,390,265,
538,648,947,956,653,549,519,354,902,452,723,223,707,495,910,102,771,816,228,
436,408,184,803,794,306,594,674,285,876,841,911,374,074,022,074,306,218,134,
909,202,287,378,677,529,670,686,818,994,339,949,981,745,514,572,295,113,833,
456,486,070,247,606,329,546,049,265,259,712,409,359,359,105,213,444,190,072,
582,479,271,200,466,668,281,686,500,014,319,984,893,934,882,743,724,255,462,
331,613,429,378,654,632,477,205,093,426,771,003,061,993,925,241,571,950,055,
973,220,536,451,759,264,609,659,271,940,979,745,798,599,126,372,823,612,192,
858,709,724,315,799,130,747,955,075,904,861,444,974,458,299,336,954,276,349,
523,070,413,352,626,038,817,305,662,878,921,933,712,741,837,847,334,972,508,
015,894,564,378,064,986,125,437,752,986,473,849,066,745,735,136,979,648,483,
330,038,336,175,026,430,820,005,975,036,744,972,181,861,930,334,874,986,258,
045,759,221,133,997,750,359,741,539,470,104,166,975,359,811,161,953,685,905,
531,351,252,422,081,583,744,780,321,612,350,431,133,773,425,533,661,829,901,
654,542,544,929,439,897,936,295,491,675,490,045,112,266,466,989,569,280,416,
075,491,776,306,876,808,976,661,596,790,198,879,734,385,417,490,476,874,662,
696,460,179,107,192,544,719,906,040,001,772,525,921,318,921,144,849,002,658,
954,884,692,038,355,578,001,476,011,858,160,447,950,554,117,568,075,673,297,
252,919,154,716,102,450,217,574,902,544,269,528,689,314,826,617,641,112,508,
042,484,115,229,930,377,731,551,790,596,645,566,177,986,707,494,064,152,375,
160,745,237,113,099,104,921,047,817,134,930,601,567,966,337,676,217,490,866,
924,422,981,820,682,550,425,511,754,632,989,065,701,842,740,813,348,555,071,
810,538,600,585,476,539,094,697,965,965,899,446,994,080,845,852,625,855,466,
024,015,099,203,294,362,108,919,743,198,906,920,435,705,207,297,453,348,393,
943,097,155,185,961,437,764,712,397,567,864,422,810,842,407,231,475,526,812,
891,588,332,492,863,530,638,590,926,607,047,608,592,942,282,571,654,460,723,
148,082,841,715,070,366,550,985,253,315,354,623,705,434,523,970,571,372,107,
852,529,603,927,702,854,567,199,401,173,894,997,541,415,807,361,125,660,360,
173,631,863,715,705,250,824,082,138,365,479,694,304,678,116,696,781,578,017,
076,972,406,348,730,187,426,114,662,727,218,618,853,026,055,082,758,552,628,
280,638,444,903,574,428,648,738,142,381,367,690,716,034,113,083,686,386,242,
289,925,107,312,452,418,305,799,508,822,621,006,431,224,062,018,412,125,471,
012,032,126,330,933,331,222,993,594,274,142,871,374,243,553,875,048,567,045,
144,329,075,882,519,695,670,340,818,178,708,525,373,890,469,726,604,704,585,
966,513,122,592,530,268,111,241,526,122,254,016,477,587,159,563,596,464,522,
287,990,306,693,625,323,897,873,918,539,236,714,043,490,967,813,277,559,314,
071,415,732,833,234,633,867,883,558,275,423,246,176,034,616,023,568,408,616,
423,987,725,331,859,918,502,812,639,593,452,039,081,213,539,647,737,740,574,
261,682,894,420,682,453,327,445,924,329,522,540,938,879,810,253,218,718,410,
350,794,618,410,239,677,489,170,985,948,152,036,189,611,245,033,380,962,536,
513,412,595,985,465,786,982,163,003,854,583,898,915,621,881,219,996,515,096,
235,821,744,146,475,880,106,653,206,962,651,084,970,979,497,649,780,937,142,
069,216,531,538,482,114,952,453,317,076,046,130,242,765,975,769,400,193,674,
677,464,938,172,131,243,930,474,575,575,695,125,921,922,918,970,755,219,476,
659,768,533,614,969,142,722,702,260,618,160,325,128,801,812,180,476,543,890,
310,446,383,141,993,622,884,803,020,015,110,947,023,233,285,308,876,088,448,
781,089,937,726,215,447,800,342,662,427,231,476,432,275,105,960,228,652,096,
539,696,609,070,022,376,253,049,736,087,016,450,273,699,315,389,182,509,124,
564,746,089,313,817,198,094,486,711,707,375,699,581,096,912,160,464,575,251,
184,102,591,432,017,450,412,856,567,005,741,571,912,599,140,015,383,243,290,
875,976,809,523,956,104,056,640,727,277,958,224,361,912,622,357,812,141,831,
548,798,345,101,159,381,471,717,473,588,245,904,043,938,780,075,357,461,945,
549,511,677,788,838,816,411,565,936,363,824,328,512,936,748,597,519,418,838,
838,186,121,138,161,117,129,329,014,381,296,536,165,028,169,305,183,101,085,
706,967,264,201,569,578,860,327,557,162,735,789,016,593,990,476,203,759,629,
860,019,474,896,829,032,371,258,880,516,557,798,379,711,719,407,893,043,280,
779,295,011,926,457,669,427,348,583,489,694,000,070,047,374,623,224,712,116,
714,600,496,264,497,187,160,536,162,827,271,600,166,135,455,616,564,394,026,
081,775,213,429,007,083,500,617,953,232,407,410,986,232,107,521,819,988,159,
162,543,445,779,334,685,228,004,200,514,088,134,201,443,334,387,337,795,398,
621,591,300,340,470,194,734,159,268,721,838,106,867,644,673,535,292,589,077,
632,029,894,085,033,185,085,885,209,067,493,576,031,989,904,236,099,510,780,
661,372,677,996,053,971,169,714,472,540,867,310,983,763,419,037,056,043,200,
919,019,990,407,604,982,924,057,935,615,879,165,763,709,388,637,772,975,930,
219,700,562,676,716,652,580,867,444,162,099,630,899,151,890,527,445,434,044,
179,183,845,881,622,359,219,593,261,683,229,077,415,700,950,519,874,531,234,
730,690,200,284,825,850,060,951,522,989,892,416,163,885,389,331,982,303,865,
966,881,978,698,155,585,295,485,467,256,353,295,382,339,746,289,757,464,769,
195,880,574,578,645,313,278,207,284,035,838,190,153,976,332,743,577,119,035,
668,060,486,307,507,269,427,546,229,917,017,485,949,165,530,077,974,178,636,
810,498,442,574,183,244,702,415,532,153,730,273,987,367,000,863,422,727,323,
191,080,232,493,278,787,719,594,203,397,306,830,031,481,194,289,084,181,586,
783,192,634,671,917,074,205,933,561,022,153,377,365,321,381,562,794,868,008,
527,531,178,563,696,649,678,058,290,459,662,642,450,246,205,955,133,543,744,
030,368,084,283,908,003,230,584,101,788,003,934,512,256,146,745,630,762,498,
052,428,824,364,718,288,435,554,644,558,672,803,053,552,887,230,073,016,527,
509,416,492,216,254,347,279,784,920,912,929,623,968,878,011,073,582,790,391,
218,590,528,506,733,085,631,769,261,053,780,567,973,839,605,012,228,216,428,
535,747,338,690,797,199,461,369,385,099,997,525,945,575,314,801,082,931,801,
068,761,778,976,469,887,716,972,260,261,369,277,171,414,485,108,195,272,144,
486,168,283,802,460,221,617,476,492,006,276,743,006,304,069,827,917,123,631,
601,159,389,403,090,743,629,050,045,839,613,130,574,277,453,725,329,045,697,
893,826,439,398,219,836,312,517,424,576,854,810,168,874,514,543,016,719,381,
171,125,402,474,350,561,533,057,990,536,658,151,236,651,191,994,122,966,376,
987,637,988,214,908,724,510,213,229,792,534,409,606,189,096,232,950,529,842,
614,104,593,720,338,197,362,072,461,643,442,093,054,073,612,582,044,770,724,
341,973,144,839,608,904,537,753,460,147,764,768,331,638,437,314,847,272,125,
044,664,843,798,213,724,385,552,584,850,341,639,470,777,889,201,439,423,088,
450,376,674,586,671,507,191,798,220,069,415,695,211,656,407,989,744,004,277,
417,527,494,165,593,684,587,304,330,250,199,626,895,069,209,918,325,533,926,
530,456,063,872,820,095,737,692,139,838,758,894,731,001,508,246,025,508,762,
637,079,458,991,624,967,905,245,146,491,793,121,618,020,042,010,495,778,955,
971,558,067,838,005,936,707,213,517,309,256,820,997,631,922,932,381,693,790,
489,816,913,923,778,370,357,352,488,456,613,320,991,478,162,150,853,165,295,
690,706,488,067,476,817,705,074,419,841,226,391,630,855,543,785,227,533,424,
494,711,928,693,339,216,297,473,908,762,818,346,007,588,462,454,473,651,406,
346,113,481,749,610,718,867,286,049,737,286,655,504,640,809,824,971,336,824,
561,210,176,974,034,827,078,703,451,629,365,084,359,698,708,647,441,287,294,
148,040,755,540,028,912,014,129,264,848,611,532,847,295,639,407,354,928,064,
015,576,764,074,387,948,972,211,835,731,085,013,416,894,833,732,655,956,399,
245,409,742,637,746,978,574,354,394,987,926,088,871,096,439,823,874,058,384,
044,686,134,416,085,949,528,726,290,332,492,839,976,493,436,337,016,926,785,
171,272,477,239,004,393,624,454,432,870,169,597,213,157,488,357,160,298,556,
801,453,054,333,571,242,522,525,842,858,508,976,793,754,276,191,422,525,934,
545,469,958,999,058,564,966,064,060,143,861,762,642,930,572,185,370,023,378,
862,976,384,341,873,564,771,495,737,942,224,739,190,404,324,687,166,083,067,
771,868,402,101,805,133,656,239,917,962,269,162,649,169,180,783,265,490,168,
237,582,218,719,766,947,119,752,319,886,134,735,691,129,563,537,720,887,764,
611,379,024,281,737,322,321,537,432,687,049,876,178,035,589,245,480,605,167,
260,802,252,412,628,093,323,210,703,604,697,409,865,902,692,995,301,566,330,
929,849,463,022,233,145,507,513,765,383,578,163,125,908,564,418,508,270,936,
620,492,826,353,380,948,490,047,562,824,207,784,406,075,896,146,889,017,876,
439,934,878,174,105,121,654,802,742,384,922,135,245,848,806,961,626,936,741,
010,181,057,878,127,215,167,798,829,209,583,495,640,234,654,613,815,801,842,
883,090,314,992,461,947,078,621,405,182,273,402,539,008,561,558,899,389,708,
449,440,694,926,145,926,115,690,207,930,069,429,005,632,733,948,022,483,747,
002,384,106,077,776,293,412,914,510,814,034,575,535,894,879,341,400,020,028,
898,542,036,800,845,784,550,612,999,910,822,376,009,329,482,824,541,583,785,
101,631,642,236,876,086,307,464,122,009,354,650,511,789,371,815,466,636,198,
161,411,834,715,070,868,516,776,223,362,043,410,691,549,982,394,857,140,847,
221,402,684,116,130,004,095,272,127,849,634,311,021,982,898,474,335,422,469,
830,685,140,328,957,241,159,098,873,669,098,099,667,689,360,411,741,370,249,
833,792,800,183,565,478,934,573,215,238,203,847,739,908,450,963,358,758,770,
345,832,580,905,594,048,330,840,509,638,488,750,615,795,675,694,581,219,305,
863,116,862,996,881,821,595,629,904,105,892,632,420,947,780,568,284,242,600,
167,738,992,489,881,561,289,282,094,590,929,972,476,670,186,102,780,036,845,
129,142,277,502,153,071,053,545,411,172,609,901,111,889,106,440,742,062,264,
199,218,373,731,570,217,776,665,321,986,535,564,388,510,348,124,312,227,751,
804,388,207,717,241,297,319,662,275,919,144,551,883,291,268,917,691,853,657,
108,816,554,098,875,737,626,932,108,735,468,701,982,585,503,745,138,198,060,
221,908,002,177,012,455,852,102,068,414,334,244,656,334,601,712,327,568,159,
391,405,769,801,153,132,280,378,304,491,778,802,816,529,494,201,454,710,365,
239,215,200,219,579,451,225,105,685,408,153,011,744,180,328,621,460,595,005,
128,272,300,149,527,765,181,375,988,791,511,547,731,866,260,752,805,803,308,
469,273,423,165,314,750,565,227,216,664,467,303,540,419,112,153,004,567,123,
835,830,960,042,322,792,261,441,824,682,324,235,514,549,797,822,612,788,682,
280,287,771,402,719,283,976,411,896,774,482,564,274,551,294,524,567,049,406,
279,183,330,740,254,777,833,676,295,444,693,068,265,833,327,900,357,697,903,
946,955,044,701,312,425,172,174,452,068,334,689,144,510,739,564,728,441,121,
699,970,890,072,555,075,198,688,339,615,557,661,309,303,891,459,331,126,016,
414,569,353,673,715,841,441,182,417,892,469,854,173,993,459,151,451,324,689,
821,360,550,314,915,343,234,151,026,595,705,630,587,487,237,265,297,308,822,
854,533,706,942,886,308,828,160,018,799,432,477,693,639,838,551,840,790,575,
331,705,751,288,449,952,359,836,351,675,698,131,837,180,012,588,296,576,724,
538,029,901,467,884,382,183,429,060,660,592,231,917,118,500,719,787,536,660,
063,807,712,543,557,977,471,359,689,559,388,086,804,427,916,333,984,830,324,
201,305,280,563,637,662,473,595,006,639,014,854,972,071,921,854,584,093,056,
321,201,464,976,117,486,484,734,663,689,208,647,764,728,759,361,035,446,067,
275,422,184,729,931,711,736,935,834,618,155,472,988,980,881,009,138,057,566,
358,385,640,093,316,000,996,465,442,332,542,350,385,054,695,362,307,752,125,
016,905,055,920,457,491,200,694,853,313,103,379,126,919,966,062,665,172,475,
562,937,005,197,019,679,745,071,832,866,491,612,496,372,826,161,071,268,672,
059,428,295,114,233,302,090,271,827,110,929,733,968,960,369,461,260,278,157,
546,771,270,971,336,464,810,846,726,529,551,200,884,156,615,145,041,515,141,
396,891,288,674,825,059,367,534,010,508,880,749,711,373,304,917,797,985,708,
017,929,843,910,661,509,300,777,519,851,622,847,115,570,896,453,370,261,359,
905,481,799,415,230,176,504,683,757,762,783,450,538,929,632,788,969,863,284,
791,126,106,861,470,869,898,302,641,858,838,404,327,492,922,953,004,565,582,
558,795,812,558,748,870,773,978,595,105,077,777,104,337,445,676,727,092,927,
146,852,809,123,870,137,121,389,910,593,426,546,847,773,996,053,401,761,912,
956,441,888,575,079,648,973,989,507,451,764,763,958,300,215,520,980,722,781,
155,131,081,038,121,236,689,277,040,656,997,653,636,929,848,964,612,270,577,
875,608,907,089,719,326,225,869,152,593,370,631,206,732,685,010,506,718,375,
850,875,588,498,526,095,701,170,579,904,118,174,740,357,459,586,003,429,541,
931,226,360,257,506,186,333,456,341,788,442,846,908,362,823,952,096,184,386,
299,531,974,323,707,680,125,270,421,796,723,862,790,728,624,226,925,860,154,
550,866,066,926,402,529,589,472,589,840,614,371,485,215,654,171,318,085,541,
399,973,214,007,716,931,870,859,675,648,953,094,040,047,651,345,561,949,603,
704,256,126,638,211,952,031,710,385,272,628,857,187,477,197,529,574,473,383,
782,806,463,799,400,192,267,120,459,034,556,334,856,555,566,084,349,788,333,
953,733,088,764,610,010,896,564,377,182,998,040,530,979,327,296,722,300,940,
107,758,544,627,344,258,554,684,087,994,375,840,403,186,906,824,677,226,573,
846,877,334,868,308,863,452,967,665,966,757,667,528,048,409,160,212,581,685,
388,181,680,249,036,561,442,301,619,689,428,832,582,077,852,984,445,464,349,
392,704,069,156,083,886,811,369,215,639,104,973,566,655,511,389,007,434,054,
820,324,866,363,988,288,566,220,946,069,753,175,867,401,524,195,640,669,130,
250,010,347,782,821,410,641,594,125,854,377,411,659,750,495,234,307,815,210,
768,556,613,789,094,884,056,366,021,909,390,665,050,075,799,724,104,285,299,
677,747,335,185,253,142,796,335,685,449,679,025,920,772,347,670,440,708,158,
008,161,979,139,940,117,359,151,190,771,654,003,098,589,606,225,815,812,804,
002,882,310,570,204,187,176,322,494,721,998,053,807,033,623,450,863,334,928,
974,724,739,032,367,063,573,416,099,300,753,539,334,363,768,991,967,500,527,
102,437,361,708,023,478,030,054,562,295,561,621,373,687,239,443,029,516,881,
911,729,676,062,326,989,837,770,048,122,498,476,553,554,288,855,469,349,977,
973,240,771,911,368,865,033,254,070,820,266,914,249,884,399,690,261,173,721,
064,890,678,835,874,312,006,245,844,994,948,646,412,235,401,426,639,879,184,
114,497,796,145,891,370,793,823,362,434,378,402,538,420,562,168,745,718,349,
663,820,386,902,719,572,243,166,404,052,199,526,873,857,692,558,914,510,468,
598,931,089,252,981,449,256,574,462,149,132,100,050,013,047,721,150,145,994,
632,840,245,904,028,830,161,181,335,431,211,844,969,417,396,773,449,199,424,
296,232,365,522,784,935,338,968,381,684,389,963,674,107,470,653,544,159,442,
491,424,073,032,266,919,116,150,901,355,780,148,142,120,767,499,069,093,546,
988,882,731,783,161,381,392,410,039,345,119,762,204,964,672,946,884,614,040,
041,846,381,143,828,327,543,410,910,617,461,922,718,283,053,496,389,214,609,
822,947,979,178,941,629,849,670,244,512,747,081,452,072,241,414,009,176,433,
701,650,771,908,504,894,800,873,871,340,679,283,264,659,786,922,875,898,900,
740,020,467,834,430,022,544,067,673,736,365,871,110,855,723,154,956,978,833,
972,310,054,350,719,660,395,481,031,082,754,806,114,008,695,652,150,929,478,
525,669,514,659,478,571,742,485,115,272,775,260,798,354,301,987,518,152,384,
191,768,972,911,536,095,913,761,350,438,467,949,238,254,168,246,171,235,459,
660,250,879,568,105,242,080,983,107,028,454,439,047,745,267,353,726,978,838,
242,245,384,482,206,292,999,166,995,785,503,957,249,808,138,949,791,554,602,
029,090,385,776,670,833,012,715,580,081,898,337,258,285,767,673,720,027,546,
094,258,554,436,022,357,348,168,729,474,133,987,449,945,391,958,263,635,718,
082,876,226,344,107,097,564,691,745,500,236,632,432,915,184,887,778,977,034,
089,737,652,739,817,397,453,892,064,406,441,838,505,675,290,366,193,296,078,
661,485,935,810,892,611,430,762,479,517,930,695,130,120,289,872,249,110,589,
322,789,257,143,669,959,848,267,762,317,969,093,757,406,330,018,006,853,066,
703,297,018,847,397,130,620,257,103,010,192,777,124,373,284,428,122,480,061,
530,063,495,095,202,971,557,155,449,038,958,685,204,821,815,694,789,733,465,
723,194,311,594,768,881,513,904,193,246,882,813,982,383,528,431,571,298,082,
601,299,602,109,615,796,221,014,206,215,743,443,811,269,779,290,174,165,448,
412,784,485,757,428,578,978,260,202,233,937,204,603,964,190,745,009,720,612,
367,721,601,907,816,820,292,672,222,234,982,205,904,079,077,310,203,523,550,
799,074,727,676,042,358,333,552,572,849,287,582,917,917,609,394,667,331,269,
241,040,982,057,993,958,140,206,541,738,922,778,251,171,914,889,408,312,701,
049,900,049,490,900,833,931,023,444,646,938,584,276,842,512,768,137,420,657,
227,091,951,177,301,373,708,534,738,329,035,493,155,504,684,977,475,898,042,
994,995,195,179,325,271,442,457,814,098,969,564,635,765,311,061,917,662,162,
160,239,761,036,331,032,176,293,791,769,441,281,242,725,574,982,100,468,887,
923,028,105,506,491,712,176,927,766,545,916,858,236,376,669,587,892,384,120,
636,159,543,350,432,105,266,112,549,744,995,821,776,148,012,592,002,199,806,
308,612,733,569,486,661,956,580,230,758,418,778,334,396,052,848,927,276,522,
090,538,192,942,477,204,932,875,648,694,311,991,612,987,549,798,874,767,301,
072,220,735,784,711,139,065,092,896,501,461,953,459,372,982,506,334,836,874,
853,739,254,538,508,526,723,277,017,879,114,012,205,661,344,990,952,144,880,
553,074,867,892,266,174,238,612,483,107,440,819,305,984,452,089,046,159,119,
739,741,255,969,053,438,060,876,363,495,579,020,089,319,345,617,939,737,348,
060,079,350,699,238,027,435,070,451,015,002,549,593,257,160,326,797,461,805,
834,328,017,559,505,271,954,969,564,670,648,621,416,502,326,692,683,744,060,
471,744,004,674,029,364,127,734,825,055,528,599,597,776,667,197,511,269,278,
422,273,230,606,955,788,118,993,523,346,918,052,061,858,981,822,057,981,149,
782,395,218,672,913,210,599,430,122,652,138,717,613,983,395,268,468,232,404,
095,108,450,158,986,432,457,149,520,858,530,658,068,877,275,565,815,900,028,
694,624,227,800,914,695,056,846,698,107,403,480,085,940,246,493,406,365,850,
351,669,596,700,491,266,358,768,292,257,984,838,594,062,295,883,113,945,266,
739,196,399,374,270,754,733,754,743,484,399,743,633,710,234,787,828,538,097,
718,018,327,004,739,610,725,567,037,183,362,040,620,879,226,892,645,461,934,
171,569,106,751,118,509,017,663,114,564,746,011,782,106,372,942,423,773,289,
159,525,930,327,446,139,990,667,981,761,065,496,013,993,045,962,383,566,530,
205,510,718,886,856,111,667,937,252,250,050,990,481,251,437,722,236,046,112,
066,822,166,377,784,484,926,691,917,517,990,986,975,877,051,541,820,213,440,
979,027,128,040,796,747,064,769,156,338,102,049,632,108,782,299,644,793,091,
522,076,221,047,853,067,845,564,496,942,819,953,330,230,232,655,186,377,993,
454,780,423,720,388,541,754,318,317,027,191,998,909,513,637,346,378,438,576,
022,091,534,123,133,607,090,354,021,537,140,426,886,835,055,048,930,332,185,
052,145,756,463,033,573,493,969,059,793,964,625,238,784,279,880,478,610,697,
821,129,953,245,747,705,053,228,859,121,544,416,288,616,883,618,836,817,231,
393,157,317,373,336,393,459,663,905,111,134,302,863,015,601,749,961,183,395,
029,269,723,512,305,730,281,631,336,108,970,040,864,719,214,186,487,380,765,
401,113,098,462,165,995,643,318,712,767,108,575,294,767,940,054,910,658,607,
972,481,976,698,989,792,488,610,128,870,160,401,214,080,122,170,600,248,817,
789,091,563,592,443,643,146,555,726,738,967,632,798,472,078,840,755,380,499,
932,310,527,636,992,323,430,351,994,884,334,249,734,504,064,380,977,166,291,
408,964,417,353,247,921,539,244,658,718,134,230,639,946,724,781,557,883,937,
167,512,170,802,942,220,411,139,354,418,805,891,158,930,532,918,530,194,926,
361,267,803,377,445,678,153,361,464,102,648,636,860,856,465,882,560,567,090,
382,679,820,609,173,559,326,083,370,249,063,604,226,256,821,258,608,382,454,
323,598,595,107,392,906,130,264,118,507,194,961,357,446,805,538,485,462,545,
935,425,934,383,368,923,295,554,324,092,685,813,097,487,749,141,981,197,696,
220,623,099,470,191,463,595,004,042,791,366,951,261,394,798,769,229,693,442,
263,070,460,136,814,943,574,382,999,072,497,731,536,752,910,565,448,174,279,
607,500,466,383,578,809,680,435,138,207,681,460,422,774,835,262,075,491,045,
769,213,512,472,798,709,400,508,484,275,857,189,619,929,636,876,766,341,936,
129,887,311,473,498,245,018,340,815,539,906,628,796,692,574,148,670,385,876,
838,157,160,079,889,950,965,786,873,988,475,064,433,298,533,912,059,895,329,
712,017,584,722,925,143,385,581,358,379,459,279,970,277,763,251,135,215,798,
753,948,503,937,539,846,120,218,010,147,470,623,471,190,592,035,879,828,125,
292,887,071,978,792,367,989,028,925,676,106,279,601,572,382,966,318,755,088,
530,586,765,236,033,366,610,083,869,151,380,473,790,144,727,138,498,253,752,
930,567,675,788,924,198,938,377,802,259,668,450,630,009,176,350,921,870,166,
829,544,502,741,133,047,658,442,189,012,231,696,899,338,362,226,158,635,515,
292,378,888,300,986,468,009,606,439,044,781,104,095,308,237,218,054,021,200,
050,117,872,503,079,724,170,832,243,085,000,312,445,030,810,987,158,840,391,
100,558,662,597,822,271,964,808,601,252,243,995,013,742,961,560,741,734,755,
844,067,346,853,257,646,040,935,709,786,509,239,834,594,909,459,246,138,593,
226,827,069,209,444,126,621,402,637,615,304,218,714,326,796,847,727,017,762,
643,227,181,833,282,848,707,029,197,391,152,709,099,095,924,324,925,693,013,
972,242,129,767,512,430,008,634,070,854,597,904,398,317,682,105,963,869,379,
122,602,387,202,671,392,415,758,996,304,894,739,751,058,141,998,677,022,988,
741,959,072,988,322,244,579,866,228,782,316,987,917,347,356,919,754,215,978,
875,392,990,537,441,227,442,910,256,589,014,565,403,990,362,037,359,285,527,
824,229,505,122,666,846,730,652,616,593,197,694,989,015,853,381,632,525,552,
546,749,383,636,865,595,773,704,538,161,014,489,050,657,614,658,912,803,416,
419,587,146,949,356,172,935,557,584,309,751,145,054,737,875,464,675,967,380,
545,490,558,391,175,471,958,436,240,939,510,198,292,272,411,337,775,540,234,
356,088,322,933,668,513,290,631,326,353,212,539,857,862,182,677,969,929,418,
587,257,812,073,477,913,558,484,589,966,344,373,203,459,293,458,356,755,062,
083,175,951,126,482,544,341,598,195,508,889,628,622,972,863,028,262,204,808,
379,882,397,734,083,703,142,465,592,897,601,368,876,958,912,046,272,550,103,
637,073,210,047,763,909,716,234,312,555,643,307,851,692,016,528,507,086,609,
335,147,855,192,835,371,448,757,586,036,751,871,466,697,474,803,427,880,454,
443,875,087,155,915,708,117,334,628,348,619,563,259,839,122,213,794,559,675,
553,244,341,669,185,679,643,648,864,986,725,385,395,979,249,034,997,849,812,
589,016,534,042,584,355,690,103,666,111,580,865,037,049,702,129,921,003,311,
866,347,341,778,773,926,840,557,991,822,711,274,795,073,212,567,945,338,926,
749,735,190,556,771,509,244,725,215,097,369,142,832,377,891,122,029,919,639,
372,493,175,624,966,666,842,655,459,709,577,909,190,873,422,320,268,075,138,
885,601,092,137,797,121,466,863,957,793,910,591,596,732,805,929,060,534,078,
003,625,125,448,618,367,738,424,370,050,068,803,660,561,918,793,657,804,253,
600,734,275,850,933,771,069,767,127,373,293,068,166,863,253,382,245,114,561,
278,791,407,407,699,717,958,125,750,230,264,092,001,880,828,234,393,165,278,
127,165,997,407,271,518,931,227,987,715,639,014,638,942,764,540,622,316,604,
173,729,191,632,180,627,860,912,358,035,756,466,096,803,881,612,304,562,091,
003,694,127,567,238,510,181,580,793,941,782,873,203,774,536,907,164,009,683,
343,849,144,999,099,369,410,996,637,044,697,312,027,934,752,951,101,987,464,
810,576,849,276,916,097,948,033,301,150,315,683,006,323,981,549,450,698,380,
959,642,189,541,371,989,152,969,555,406,844,702,686,046,302,958,164,327,497,
633,814,576,961,772,778,033,485,993,496,650,780,246,068,528,731,783,642,087,
190,458,655,640,849,667,058,480,806,455,553,012,869,412,166,704,300,339,267,
323,356,352,092,029,562,051,573,116,331,269,848,092,895,163,210,662,257,342,
394,009,026,873,143,523,963,756,605,267,402,987,591,981,429,777,039,436,931,
108,400,381,290,205,643,476,613,102,649,187,105,165,465,278,670,751,534,139,
645,278,245,629,757,250,316,176,250,845,529,663,105,971,459,636,163,492,501,
655,294,790,304,743,764,215,659,372,702,683,433,001,560,734,240,098,506,496,
351,830,182,156,018,230,181,080,674,362,226,926,039,347,192,570,832,880,333,
979,175,472,602,081,250,744,481,375,361,611,380,519,451,150,901,534,687,893,
366,788,184,291,981,528,862,947,394,761,049,789,369,039,380,765,426,341,561,
225,635,576,633,159,791,358,874,857,909,695,781,055,804,736,933,658,593,730,
447,316,848,309,440,291,683,664,700,420,815,258,117,527,856,983,183,932,236,
108,343,876,453,280,459,573,974,547,303,885,923,174,968,603,312,074,704,790,
946,405,609,158,596,397,841,845,100,360,454,737,591,493,046,175,153,598,182,
026,278,086,381,958,522,132,261,083,739,487,253,199,569,481,321,304,946,741,
970,006,377,960,202,972,663,011,363,444,760,403,876,793,101,520,849,551,937,
579,833,315,319,058,563,648,758,633,912,800,936,695,416,016,588,367,864,383,
504,180,657,575,670,471,197,125,621,485,303,969,014,888,505,434,737,207,549,
336,550,692,930,454,347,968,794,018,765,134,019,400,562,946,557,155,958,326,
011,271,653,917,325,494,132,038,267,926,022,112,681,184,383,475,714,985,042,
523,117,955,672,365,989,906,770,789,981,680,375,008,483,698,601,991,103,604,
947,486,332,759,862,447,001,022,351,566,168,769,566,973,516,849,040,527,993,
139,208,567,762,993,744,720,502,762,401,569,088,287,212,272,892,534,324,066,
070,527,538,691,287,632,477,336,910,114,945,309,879,245,719,033,147,683,513,
526,638,499,243,615,509,923,848,251,522,935,790,500,665,525,456,965,798,431,
167,824,105,054,133,097,082,025,641,809,884,898,521,293,837,202,779,929,349,
503,603,337,392,858,772,916,265,975,847,930,274,770,451,873,990,854,353,787,
564,842,758,543,861,085,775,107,501,967,121,131,310,128,873,826,596,740,409,
648,471,947,513,726,912,705,366,594,686,294,196,417,066,060,169,632,306,126,
298,191,744,882,476,045,760,678,906,657,787,160,667,523,195,386,496,316,814,
833,427,102,191,895,282,660,864,473,788,376,991,163,062,334,243,966,716,305,
341,768,443,927,128,462,618,012,384,865,042,123,715,720,404,544,515,840,215,
771,128,933,819,637,396,936,168,689,707,140,731,691,816,129,647,433,615,022,
872,352,551,685,786,501,581,250,080,918,427,658,168,439,518,035,344,235,390,
397,152,205,201,861,537,399,731,179,087,201,253,398,454,425,693,465,993,656,
302,928,898,500,696,974,410,057,048,544,395,181,317,668,248,510,439,252,767,
548,792,799,801,356,216,401,415,908,604,925,672,902,680,373,493,293,501,175,
737,685,060,164,684,001,331,307,016,939,795,438,607,425,121,328,813,032,016,
553,320,737,838,820,425,051,866,757,265,418,268,160,492,561,491,118,240,863,
839,284,718,977,339,112,131,117,244,052,835,942,610,825,277,936,844,975,290,
351,896,644,344,716,775,299,757,653,795,566,793,170,930,413,040,076,208,510,
835,746,594,411,775,708,566,753,628,278,087,577,738,075,531,751,107,881,694,
123,109,788,665,000,448,691,832,650,822,713,715,006,978,400,956,642,661,717,
781,377,453,481,591,659,302,958,451,399,784,634,895,643,165,047,177,633,702,
439,956,711,648,555,469,546,569,850,050,276,421,872,632,763,555,918,122,065,
316,038,607,701,785,580,690,275,252,793,449,389,929,108,484,199,767,921,526,
365,376,409,808,224,550,602,250,795,331,437,130,213,929,370,443,376,842,637,
109,581,631,203,259,413,976,274,705,529,301,038,189,239,206,275,105,057,912,
338,258,140,684,904,492,094,752,407,843,102,416,853,027,806,426,386,754,957,
620,228,153,696,341,729,546,702,354,997,637,012,684,162,013,452,517,133,111,
575,656,065,685,175,028,416,026,154,700,810,437,771,426,782,252,557,523,041,
486,411,286,923,483,128,990,976,270,842,911,690,904,661,275,290,707,851,836,
556,861,489,614,922,587,476,689,302,673,825,463,332,331,481,296,571,046,222,
433,520,576,540,695,091,920,904,737,291,259,338,211,037,650,385,779,934,107,
766,685,605,719,116,953,708,054,133,949,032,030,374,383,109,059,074,394,251,
935,652,555,435,725,915,950,244,370,981,644,542,681,678,015,607,665,515,682,
795,564,888,798,662,520,577,430,675,518,570,326,910,054,744,701,654,440,451,
102,643,125,391,580,309,244,738,884,146,845,873,448,630,596,574,156,269,231,
466,293,862,303,179,394,056,735,891,083,024,955,840,838,474,514,718,137,141,
716,010,107,392,951,268,908,729,598,851,234,258,935,395,437,889,937,849,037,
163,915,791,271,197,851,029,598,106,884,098,231,934,701,745,702,640,574,877,
979,372,669,583,361,827,296,512,363,899,311,362,375,005,094,862,972,970,844,
481,205,936,492,244,119,808,163,487,718,470,915,982,129,862,467,211,937,932,
971,841,833,740,837,781,249,352,989,898,437,743,818,304,538,227,418,536,906,
878,397,843,933,091,434,218,106,170,150,584,262,250,787,452,070,840,071,112,
935,258,525,725,905,614,399,733,554,302,328,596,799,272,432,945,358,087,642,
007,919,579,676,377,428,148,889,109,741,672,972,312,838,206,530,764,376,976,
162,240,528,796,575,899,627,088,453,160,332,222,207,777,641,610,961,771,462,
902,327,698,585,450,472,269,861,454,455,311,073,548,498,379,327,953,150,069,
463,899,219,853,780,049,873,948,416,441,316,973,682,013,352,682,228,978,321,
754,580,090,683,497,960,275,120,860,681,033,128,521,739,416,144,587,068,117,
752,227,607,799,276,794,868,075,182,928,434,527,876,973,080,502,286,218,377,
062,090,246,290,615,435,627,444,903,724,739,949,455,982,827,892,103,686,798,
207,853,657,046,986,877,411,664,575,533,875,945,276,523,564,719,374,677,272,
789,623,086,088,261,092,808,999,122,530,216,158,933,302,905,263,273,287,955,
289,181,994,582,772,843,048,986,640,028,074,021,690,176,518,610,194,742,156,
670,653,193,971,896,973,587,943,776,440,298,226,664,631,861,816,745,452,157,
843,084,234,388,322,686,816,689,363,940,223,048,183,079,849,811,495,643,268,
784,045,841,800,398,338,282,259,208,309,770,590,168,383,179,887,504,933,907,
773,880,533,889,232,446,265,670,149,579,702,412,461,437,181,466,776,170,337,
889,702,876,687,072,288,695,968,599,688,525,720,843,538,504,874,787,747,682,
703,269,970,465,279,800,356,308,210,055,575,174,402,712,267,004,835,032,475,
033,282,564,114,413,871,168,555,157,984,689,398,491,172,959,249,503,952,709,
310,096,415,873,712,371,590,447,983,975,138,675,522,641,629,486,358,390,959,
851,200,829,937,932,516,969,137,171,052,470,024,576,460,436,832,414,935,159,
548,359,076,024,294,241,685,838,530,267,163,352,308,698,334,718,146,769,155,
581,219,733,177,292,431,765,766,699,473,020,109,866,627,512,363,091,583,698,
239,745,355,208,848,713,559,292,394,030,135,524,696,304,384,586,341,770,204,
780,461,662,856,448,099,084,437,158,492,039,171,145,359,811,228,277,081,171,
337,877,803,993,956,887,102,194,218,621,704,661,146,995,673,373,979,773,428,
302,545,674,063,922,261,251,899,852,433,107,865,287,252,621,406,364,383,874,
932,781,680,515,454,472,086,450,809,802,804,609,085,529,176,530,300,318,299,
768,077,915,150,900,080,820,754,593,337,656,060,062,911,665,158,099,604,641,
665,989,781,416,609,894,826,560,359,566,273,194,159,929,900,179,495,408,578,
408,840,138,371,051,703,149,496,804,327,770,631,333,389,349,076,241,027,074,
983,199,177,778,254,249,518,071,519,558,304,786,693,058,362,833,426,641,774,
563,090,677,487,782,431,684,568,787,221,510,236,512,593,436,547,583,424,086,
242,073,813,330,564,566,160,630,106,222,010,104,894,590,369,309,972,680,696,
496,052,826,830,098,995,968,511,137,284,666,839,404,966,594,960,922,391,039,
806,418,385,650,010,190,392,858,566,120,456,651,440,568,365,796,078,680,165,
287,518,383,005,754,728,472,900,989,459,360,099,697,798,748,241,869,808,823,
878,741,356,307,986,862,375,348,426,565,396,944,792,665,681,221,619,750,562,
258,553,813,890,645,160,860,480,008,263,570,692,328,815,660,257,342,469,753,
249,146,353,852,731,848,396,632,040,710,030,883,553,384,149,255,545,470,888,
178,334,952,567,315,742,719,371,975,077,720,604,499,084,761,224,716,485,404,
232,346,468,545,628,266,541,589,463,302,348,187,883,245,277,696,171,295,748,
996,425,581,568,544,141,676,261,564,369,260,091,163,078,752,043,611,897,708,
183,374,062,057,730,923,973,349,364,012,476,417,013,005,062,062,729,124,281,
169,945,241,265,229,399,719,743,628,671,715,987,579,044,604,800,908,744,381,
706,325,166,691,128,680,576,299,530,741,830,250,601,074,356,769,131,747,422,
445,223,551,999,501,568,426,590,618,007,327,369,683,214,884,746,373,333,574,
563,251,628,950,129,773,925,290,510,232,246,975,144,343,465,283,175,245,809,
491,154,302,593,590,624,904,515,091,552,242,276,025,422,550,197,634,423,209,
822,519,217,376,590,219,287,435,099,697,682,497,838,686,822,850,462,675,170,
985,305,707,918,784,798,603,555,908,007,958,779,881,803,391,381,720,387,421,
311,718,608,267,548,946,237,163,586,828,374,387,202,981,381,534,058,755,525,
487,463,311,520,375,040,099,260,630,819,438,869,989,004,904,019,782,016,356,
992,468,405,468,751,434,523,414,323,490,058,886,328,611,232,680,729,260,148,
243,642,000,936,066,108,741,773,164,809,392,692,849,783,028,405,972,414,861,
495,285,493,521,631,641,877,495,136,385,001,751,868,156,261,603,605,482,074,
589,978,993,637,365,118,448,772,074,039,986,188,446,589,613,947,074,874,941,
314,199,093,119,147,431,856,457,457,971,571,967,348,180,477,203,521,807,015,
363,368,845,172,346,618,740,892,379,931,386,232,330,305,192,644,652,356,396,
275,089,195,925,777,300,360,275,694,370,273,750,930,307,228,023,364,729,176,
420,655,721,009,814,570,406,637,221,380,419,811,425,750,216,762,643,952,977,
489,304,086,486,056,572,543,235,045,029,613,299,681,544,342,912,314,453,380,
502,426,720,923,448,869,287,317,584,161,919,313,440,108,942,631,492,500,821,
114,280,211,168,491,581,947,282,567,239,806,273,567,364,687,814,597,708,713,
232,460,220,292,628,750,941,941,171,822,100,009,795,853,992,682,786,320,488,
249,695,915,922,675,133,150,756,626,472,796,308,164,388,548,628,746,333,229,
344,179,094,338,291,375,578,041,486,896,904,107,488,004,431,931,269,292,222,
794,884,928,409,850,600,650,525,354,193,235,541,299,241,813,108,229,705,184,
501,475,485,936,695,466,157,638,902,845,265,412,347,877,738,308,294,345,835,
017,783,170,717,505,336,792,878,066,556,320,902,019,945,195,124,376,887,929,
597,292,605,405,242,819,610,949,054,182,463,902,094,036,223,552,774,267,146,
376,766,810,346,117,171,398,606,280,204,132,758,929,442,401,676,761,959,925,
720,671,712,034,939,964,218,801,013,373,552,819,370,952,213,336,349,446,748,
313,575,992,049,060,876,145,476,906,597,520,138,525,233,156,002,152,591,142,
354,168,425,470,483,743,836,439,040,471,019,882,206,249,780,380,153,546,063,
031,514,155,244,109,542,217,264,848,122,446,907,682,083,742,564,989,971,340,
469,089,919,191,241,900,259,910,642,193,735,626,266,624,320,268,522,974,723,
065,458,712,536,289,210,908,277,099,198,622,077,664,400,764,161,061,662,191,
443,575,469,133,986,307,205,831,603,441,107,568,825,646,214,423,700,371,400,
957,030,211,616,353,728,311,111,654,181,766,043,635,490,164,166,957,291,303,
742,229,841,948,153,260,037,537,699,849,796,252,553,445,094,758,436,582,840,
692,954,524,806,099,272,717,906,977,180,656,009,362,100,046,241,332,291,339,
942,094,159,201,105,267,219,448,035,320,853,853,966,125,261,900,447,964,189,
399,863,173,999,753,191,091,546,420,967,063,035,501,936,224,702,874,663,334,
677,659,818,034,244,212,607,364,668,902,514,662,902,695,705,935,816,487,399,
844,918,189,384,727,482,877,490,933,587,031,250,514,097,073,632,788,845,342,
920,636,072,071,551,133,045,284,290,479,485,428,615,391,960,331,991,030,721,
259,900,700,347,553,080,962,071,796,500,517,976,274,101,778,341,904,663,526,
611,800,197,179,112,717,582,996,640,563,227,556,196,819,326,307,756,828,878,
983,516,157,647,469,180,605,151,609,527,407,528,078,605,568,464,188,690,549,
572,434,629,393,611,927,211,238,829,240,261,602,201,336,199,934,090,704,846,
656,828,998,846,930,308,278,563,790,171,947,102,363,249,303,254,068,142,508,
846,419,999,931,542,841,537,835,218,605,021,262,781,832,290,611,204,610,957,
346,934,882,560,419,355,131,388,340,778,914,758,263,269,029,219,198,291,643,
528,744,481,172,424,190,187,559,785,714,809,008,819,410,065,245,091,232,776,
650,926,595,963,543,538,775,455,572,933,995,924,715,721,358,047,707,059,699,
841,814,133,815,578,807,405,098,538,432,830,350,791,859,897,248,428,994,195,
300,547,391,133,960,491,685,019,544,462,800,097,571,235,182,460,135,554,823,
291,411,624,422,376,883,632,423,699,756,180,538,052,690,846,787,437,009,135,
921,649,222,311,572,848,583,156,001,531,743,124,353,829,839,143,941,901,727,
391,533,797,481,272,466,989,003,027,063,172,477,498,026,914,924,873,589,887,
529,528,277,417,679,646,453,420,269,047,826,285,462,886,707,063,564,522,308,
227,598,157,522,133,445,364,827,971,599,529,696,628,242,962,792,752,757,952,
432,208,034,941,776,035,179,022,433,172,994,956,482,291,934,333,628,565,350,
085,808,031,412,485,659,395,146,203,911,977,379,010,870,895,554,578,516,510,
381,117,183,965,854,016,502,707,697,849,966,739,726,610,977,190,840,530,062,
909,253,788,553,351,585,488,791,730,193,742,113,769,048,164,560,472,499,704,
937,362,098,501,591,298,011,532,058,893,229,789,077,897,111,482,331,046,050,
068,808,178,336,648,006,126,470,757,632,537,327,277,324,016,692,109,313,990,
566,544,840,661,612,114,068,411,588,960,778,759,160,243,682,224,714,344,821,
296,360,938,786,014,297,216,822,890,118,341,651,327,950,969,261,097,591,065,
498,407,914,848,836,767,783,097,053,420,045,374,092,036,728,734,904,422,908,
057,727,341,775,375,809,796,647,374,885,471,229,456,978,709,283,721,147,218,
162,527,961,903,997,849,742,331,361,068,033,002,330,726,298,404,961,330,999,
708,257,628,047,053,156,701,926,388,601,045,297,467,811,612,379,622,883,358,
820,411,289,149,594,908,876,488,618,750,236,954,551,421,862,011,548,055,139,
367,376,386,584,847,083,923,034,460,552,895,707,711,345,308,584,047,433,316,
504,276,880,392,584,192,106,310,456,720,763,266,930,152,726,195,691,928,251,
427,628,856,616,937,935,329,121,009,850,204,205,973,350,429,432,970,828,398,
966,048,289,559,855,685,806,328,903,139,260,475,077,157,171,640,556,482,985,
033,346,953,149,440,461,552,115,711,738,413,893,829,364,365,076,025,291,649,
308,592,918,139,399,725,341,459,527,972,226,057,651,338,789,875,420,589,189,
614,732,199,811,337,736,928,824,775,726,575,417,629,166,490,338,923,220,698,
582,709,884,055,822,186,071,123,339,318,226,777,439,143,365,396,847,722,910,
692,107,103,380,246,186,146,012,009,131,127,683,841,788,208,462,754,612,965,
177,818,653,246,788,090,060,412,678,494,615,538,539,360,313,573,284,582,620,
571,575,191,772,802,925,677,859,568,146,580,103,479,054,234,274,563,861,438,
438,335,168,031,393,078,409,096,993,759,515,732,699,891,258,805,002,379,815,
901,384,209,692,724,359,262,508,989,144,544,472,637,075,929,533,556,817,686,
273,673,819,284,818,954,161,596,145,154,269,923,731,065,773,686,157,610,207,
349,645,150,041,733,811,233,206,559,693,112,473,739,559,355,989,169,515,419,
305,012,818,462,030,191,151,764,696,205,335,321,464,285,349,969,669,589,267,
859,639,434,637,552,268,237,638,976,652,161,956,543,175,831,132,522,405,251,
897,789,115,706,013,394,676,195,483,206,753,507,206,068,567,402,383,136,218,
304,208,609,413,708,022,308,402,996,707,155,533,411,959,974,762,007,678,855,
610,937,694,478,986,894,314,017,041,483,078,551,056,615,109,560,067,082,970,
215,208,444,420,653,284,456,830,821,255,338,728,617,122,394,375,483,622,876,
916,752,861,760,198,927,630,772,991,520,185,641,739,265,164,782,608,528,933,
881,835,239,089,569,571,349,807,241,526,631,688,456,237,539,093,333,694,002,
759,351,848,912,473,330,750,341,546,488,279,476,404,414,104,077,165,404,470,
570,535,074,928,416,722,694,027,241,784,610,102,001,955,074,740,973,531,668,
593,898,576,491,533,708,450,321,699,313,271,809,485,868,711,582,448,476,326,
746,362,899,095,359,924,669,049,082,916,326,238,095,925,416,754,464,611,838,
879,573,425,287,408,747,513,014,358,428,573,717,173,187,497,972,979,404,556,
985,051,822,276,487,809,472,050,498,804,563,339,189,864,645,617,051,907,751,
740,633,742,887,344,469,990,552,786,814,151,204,473,334,450,771,843,846,263,
689,335,567,437,043,727,939,923,964,353,624,736,744,038,997,432,098,239,629,
969,861,130,945,340,934,468,914,033,033,172,027,158,690,959,331,389,536,172,
308,569,679,643,822,945,173,895,535,227,508,483,292,443,495,542,570,368,095,
871,708,356,100,283,053,413,096,976,153,113,151,696,656,298,645,022,582,542,
902,855,590,643,766,200,136,632,068,859,786,068,049,903,267,723,083,344,015,
423,873,001,316,458,860,847,412,508,362,080,687,277,920,790,594,787,933,809,
376,871,323,860,937,068,953,649,000,503,568,285,425,233,502,469,690,242,500,
820,655,023,221,251,950,355,886,972,476,637,394,486,173,381,942,077,279,429,
524,083,097,812,236,027,267,323,308,748,895,316,265,737,627,110,881,623,099,
012,190,648,188,920,037,956,078,722,026,684,467,423,741,687,968,980,965,097,
450,030,350,925,261,094,034,990,608,245,407,219,990,280,871,785,874,083,029,
033,142,141,387,778,714,655,535,309,271,139,143,582,511,100,730,273,595,822,
545,674,627,206,034,215,165,511,413,123,259,809,194,033,871,711,275,607,998,
522,456,052,552,971,250,344,939,868,716,534,835,810,685,051,146,389,428,335,
311,334,185,100,010,866,096,971,529,349,393,606,441,270,946,340,854,195,329,
411,508,143,974,674,993,284,228,504,803,512,419,264,599,944,137,949,603,614,
103,135,580,401,462,872,671,841,241,953,436,552,833,800,805,702,702,818,097,
924,706,005,646,378,861,349,035,860,121,471,507,552,925,836,149,453,546,077,
331,915,208,698,792,351,949,952,851,883,612,957,323,148,962,387,475,542,672,
354,894,723,409,150,540,168,111,720,255,987,977,752,555,575,292,527,721,360,
692,082,632,896,842,699,267,050,751,328,489,782,191,856,935,121,781,022,712,
221,576,389,571,278,700,227,980,905,552,911,938,718,861,358,022,814,835,182,
192,823,998,318,498,722,594,002,416,141,960,978,144,230,121,655,856,068,191,
588,603,582,614,298,406,896,477,793,144,746,024,399,454,751,087,731,576,925,
176,326,747,017,430,305,781,811,155,529,077,831,285,285,894,748,663,005,970,
907,324,907,352,621,809,647,275,519,108,524,954,013,272,348,066,360,032,381,
316,416,721,120,395,731,004,029,220,610,411,157,550,974,347,180,562,258,031,
540,030,660,200,833,026,384,369,188,701,083,579,846,659,850,201,237,863,972,
239,791,095,416,229,877,314,042,615,843,384,914,112,951,460,380,348,743,275,
047,912,099,981,135,859,202,471,874,704,382,087,163,184,946,865,624,691,362,
193,490,962,418,125,315,316,587,301,930,601,182,383,692,750,201,239,865,042,
010,587,334,455,686,365,347,292,686,798,558,711,455,898,106,234,914,436,737,
591,653,742,968,256,343,058,571,515,101,869,375,456,569,217,755,044,531,741,
916,182,687,582,046,032,223,839,183,427,801,198,493,930,813,397,979,985,135,
408,603,717,234,749,464,162,976,768,986,913,402,282,793,467,735,298,512,567,
864,987,352,201,607,390,370,303,734,825,285,420,998,520,085,364,074,082,712,
362,511,207,043,991,721,158,587,955,066,274,786,153,844,150,723,411,914,126,
984,524,765,047,378,193,828,153,740,060,352,895,863,258,141,007,561,066,356,
478,616,243,694,330,381,496,354,041,098,564,462,802,854,741,737,573,181,386,
879,727,919,208,410,374,136,166,908,070,839,086,306,692,898,869,691,838,608,
488,461,946,293,762,009,958,485,132,563,550,094,521,140,053,081,428,730,702,
714,847,969,569,433,814,644,915,957,280,877,164,284,037,946,823,434,511,726,
361,446,835,139,910,448,508,856,338,040,863,431,300,435,814,198,876,916,795,
626,785,580,421,446,674,815,510,226,005,578,450,273,736,226,305,989,024,505,
023,827,003,996,141,390,789,514,682,370,918,848,547,047,714,585,905,970,195,
994,363,775,345,249,155,122,506,951,028,488,320,976,920,243,220,932,503,599,
634,156,567,401,699,925,704,312,179,866,030,807,224,087,194,998,534,684,956,
220,845,970,132,455,594,571,193,699,661,194,377,266,091,083,677,090,067,747,
724,360,752,815,671,113,392,685,687,731,497,374,800,034,573,945,761,121,921,
731,946,354,955,350,248,259,240,346,569,316,469,984,545,769,754,710,212,681,
796,971,518,790,031,857,917,910,149,167,749,102,403,342,784,625,189,717,804,
361,628,355,205,339,682,073,085,416,595,446,960,930,052,092,263,778,071,299,
288,842,335,926,012,993,234,942,738,130,603,643,386,168,822,800,720,494,310,
344,196,058,540,719,583,164,236,059,247,494,943,243,644,621,595,801,906,298,
503,939,381,566,864,470,719,134,358,658,262,118,289,556,264,344,203,130,980,
578,961,841,462,916,514,815,280,958,269,756,915,040,092,540,803,087,228,627,
169,639,109,551,938,874,908,655,748,444,208,287,586,167,408,836,253,396,089,
528,103,017,830,255,023,463,361,608,171,964,683,574,684,589,048,196,376,121,
275,181,313,887,719,685,000,213,926,463,186,261,188,746,705,722,841,425,635,
964,807,859,234,343,356,533,687,559,981,668,475,879,963,523,378,600,152,371,
266,737,105,313,073,706,835,721,418,397,732,204,104,570,497,411,960,712,424,
046,665,016,281,853,125,591,193,678,782,264,985,360,500,161,112,108,024,373,
799,017,187,129,959,978,874,251,984,669,657,861,970,352,391,679,314,038,458,
479,444,900,845,488,274,603,586,508,066,923,802,096,914,635,572,677,811,939,
943,147,373,791,684,376,522,959,914,387,586,862,147,445,282,574,755,683,594,
880,596,324,438,461,498,935,540,804,981,205,392,642,686,421,544,937,651,513,
912,600,700,232,130,534,260,859,682,304,592,976,683,493,591,522,142,756,622,
867,089,937,755,927,472,489,867,456,089,869,200,123,308,285,768,397,927,660,
661,469,144,209,533,820,370,601,494,016,770,941,200,261,270,085,948,285,908,
615,358,256,884,235,632,313,270,750,686,277,827,064,802,695,842,027,325,699,
813,128,168,212,906,428,105,286,798,869,526,687,094,541,763,001,954,556,166,
716,150,304,277,472,295,008,917,012,794,667,378,170,433,822,916,827,383,032,
962,647,625,168,951,935,060,547,375,961,394,426,536,592,722,806,784,047,119,
229,810,346,368,490,783,305,193,529,422,568,902,677,772,759,077,285,606,494,
800,902,425,186,159,636,896,348,717,451,446,607,457,320,896,726,200,425,885,
542,059,943,719,409,033,460,821,152,907,050,058,989,419,617,151,066,701,301,
153,673,856,072,223,872,095,879,705,885,224,295,002,519,345,334,090,197,123,
592,552,956,049,640,451,486,688,334,437,046,274,989,303,824,199,582,977,958,
955,279,000,489,618,722,922,621,909,757,596,996,544,433,995,529,627,536,232,
229,495,030,287,345,264,054,833,072,326,890,195,161,694,447,695,696,186,216,
682,502,476,386,912,267,259,386,362,487,899,021,836,379,515,448,321,197,369,
915,181,731,388,769,099,598,044,049,294,483,094,943,866,496,362,780,388,527,
014,466,529,897,572,744,971,684,154,985,737,445,103,743,608,944,946,353,433,
702,235,643,414,776,101,122,323,692,819,597,169,092,384,294,337,549,871,265,
071,873,277,823,133,078,668,305,387,263,545,396,715,773,586,742,888,532,423,
253,076,970,036,063,130,818,389,436,812,936,345,388,991,687,386,490,854,958,
049,871,785,164,821,557,652,892,780,759,841,551,924,149,380,872,804,958,668,
893,789,040,843,482,962,637,886,932,849,558,677,431,843,177,682,958,579,681,
995,210,185,106,675,245,085,678,593,657,252,715,047,557,842,262,322,961,894,
465,732,871,545,507,101,411,884,536,131,185,446,631,333,259,726,888,953,666,
657,872,541,224,596,885,740,572,755,561,482,242,341,015,430,357,703,162,784,
806,267,234,670,326,498,827,669,907,150,105,830,253,028,316,755,069,448,606,
519,256,429,323,045,081,760,036,373,324,588,950,679,345,691,711,120,163,278,
896,665,231,610,208,214,383,025,388,161,346,848,245,496,301,530,512,895,164,
830,959,946,477,254,460,174,197,897,816,095,074,410,342,612,681,608,878,223,
677,153,524,305,350,937,570,311,827,588,972,721,458,902,342,542,735,267,588,
426,370,288,618,765,254,766,628,437,905,618,535,764,511,851,879,515,893,382,
155,269,622,072,787,981,765,708,729,085,932,782,440,517,351,151,309,180,225,
831,514,561,372,972,733,248,806,128,741,650,138,150,232,335,942,788,007,684,
484,768,658,821,686,738,533,299,079,816,955,923,069,636,786,230,320,670,860,
057,294,116,789,839,907,867,035,426,997,504,023,903,294,171,128,735,919,338,
470,328,328,251,933,568,687,516,603,896,761,070,309,670,775,697,728,876,247,
766,281,998,137,853,262,949,980,710,721,423,201,492,176,760,885,928,376,153,
773,914,859,423,239,310,096,165,923,836,438,564,338,345,703,998,474,400,299,
817,344,730,545,366,910,885,387,621,807,981,805,109,387,156,017,829,867,782,
311,675,722,847,688,047,342,079,933,679,900,730,240,557,162,321,419,738,903,
266,416,062,299,330,311,181,194,245,566,357,170,293,351,133,101,506,492,877,
602,147,334,462,622,447,904,181,810,900,089,207,750,955,416,328,581,397,272,
861,336,150,731,075,492,931,244,540,592,734,643,273,327,436,044,410,820,281,
525,090,129,954,920,088,952,003,440,064,505,618,948,517,591,115,638,142,654,
802,058,684,294,702,662,832,264,304,470,705,919,700,560,857,121,015,821,653,
070,685,576,041,468,656,063,418,422,039,974,217,723,535,331,397,389,880,987,
860,528,293,075,906,207,308,157,626,206,021,051,480,845,214,704,957,197,199,
054,756,322,122,560,397,145,538,978,045,953,330,753,677,069,207,918,148,301,
323,422,089,036,206,250,451,805,268,858,961,271,626,505,272,332,496,605,579,
456,990,113,852,786,156,651,678,917,667,152,439,301,323,735,768,770,177,777,
312,810,214,495,529,350,022,402,708,498,975,284,814,780,192,589,047,885,662,
651,308,366,023,212,265,486,051,076,401,077,353,345,855,769,498,118,247,613,
418,914,113,401,940,603,788,250,859,831,616,091,161,742,519,080,707,661,061,
880,558,688,442,712,050,110,613,004,309,318,169,851,118,881,376,055,598,025,
001,373,924,522,869,801,655,486,840,818,424,049,868,884,895,344,515,503,764,
070,803,299,723,890,348,512,585,429,768,504,528,963,394,929,420,770,338,584,
774,706,252,935,841,649,432,610,521,460,103,321,490,739,909,803,515,082,881,
235,207,608,190,735,460,860,059,528,329,801,595,570,616,469,937,643,786,560,
167,259,901,283,505,732,488,816,478,431,511,407,434,941,454,936,233,497,371,
061,160,792,510,680,114,676,162,365,987,441,277,004,631,204,835,174,524,586,
464,603,141,567,321,833,446,250,971,932,310,734,606,629,310,065,752,964,796,
837,834,715,742,682,989,962,309,593,154,595,923,145,224,048,450,257,789,948,
955,179,057,290,320,554,975,371,405,246,935,812,144,348,356,299,019,623,510,
176,645,696,160,633,872,201,211,154,392,109,269,468,633,914,891,085,083,764,
186,946,292,712,056,894,487,804,712,909,849,988,754,401,885,604,197,699,554,
836,118,304,432,878,254,712,719,311,901,510,805,865,969,972,688,787,056,908,
215,458,268,178,304,023,456,809,121,098,459,314,883,073,528,451,875,366,118,
593,049,867,045,089,603,593,545,775,359,444,744,000,706,436,780,334,657,814,
237,923,991,972,577,811,298,460,850,297,696,661,465,271,227,141,536,071,550,
817,750,088,393,898,476,525,378,330,806,336,103,107,737,993,620,040,289,247,
673,704,911,698,466,888,281,302,139,980,328,486,885,179,909,974,878,425,350,
306,365,165,646,220,067,373,264,584,763,805,663,910,366,511,302,469,088,213,
289,441,765,347,833,993,736,020,695,874,238,353,683,437,871,319,990,804,768,
557,733,952,856,111,615,642,754,993,873,055,598,385,372,555,886,061,881,065,
136,815,401,507,459,924,531,593,348,583,207,604,431,091,890,908,586,319,065,
736,589,925,139,999,603,162,444,907,612,435,782,658,208,604,948,615,848,120,
135,415,056,382,176,298,209,568,859,160,801,309,235,496,272,184,664,694,133,
896,542,553,669,392,287,799,400,567,660,781,220,951,658,824,823,456,333,863,
904,595,592,828,311,838,495,770,240,285,144,168,242,741,122,078,480,434,645,
388,568,820,563,729,060,465,672,166,777,177,998,961,952,863,570,533,769,423,
495,235,518,068,940,418,328,681,199,593,945,750,926,346,044,358,536,308,830,
047,472,955,917,495,947,536,735,375,141,364,972,598,213,016,279,464,925,607,
922,497,646,255,675,213,829,988,109,486,898,582,919,204,519,724,278,517,328,
351,279,951,018,074,926,321,473,364,254,458,584,776,576,322,145,000,858,877,
419,379,473,859,356,224,980,510,072,445,697,500,169,238,769,885,019,807,597,
812,831,137,809,475,968,863,265,788,531,573,620,447,818,616,044,389,300,500,
833,883,874,472,732,590,842,046,169,341,887,468,554,285,165,563,654,047,932,
426,480,306,347,987,815,274,285,030,040,565,592,662,552,384,698,585,443,487,
422,171,864,543,841,531,246,020,826,740,220,483,162,356,585,101,000,032,829,
290,284,858,357,301,254,955,824,158,731,177,754,842,776,476,808,832,979,065,
854,391,228,291,825,288,326,075,976,613,665,393,680,427,603,559,508,619,784,
585,467,647,043,705,629,324,525,392,546,338,104,421,290,220,301,361,178,989,
456,750,745,439,399,186,590,274,037,485,861,936,254,218,206,742,254,004,635,
864,558,068,453,429,427,053,536,013,953,656,043,018,351,433,978,768,095,136,
046,920,866,575,322,580,572,057,730,420,445,023,015,558,239,971,654,450,517,
065,465,709,547,070,248,892,339,271,219,635,237,382,837,111,833,698,998,406,
505,420,659,919,277,067,158,519,332,820,414,189,213,645,108,243,057,620,149,
085,752,683,969,986,755,644,667,951,323,937,705,244,901,737,027,466,654,505,
067,129,633,802,872,869,443,002,218,018,986,700,394,494,732,501,384,715,961,
367,669,396,812,251,961,235,602,794,514,615,078,845,360,737,777,706,508,703,
305,252,774,574,940,389,948,512,638,191,402,050,107,005,728,473,446,122,322,
180,934,932,384,069,656,848,629,529,054,343,748,515,578,136,535,754,480,791,
088,951,368,247,941,684,258,573,067,557,864,277,424,289,520,314,717,899,186,
072,979,010,496,525,256,046,249,276,142,858,224,820,338,814,201,352,634,049,
596,222,660,446,083,967,622,587,931,876,444,616,982,009,147,202,255,755,365,
587,354,325,992,706,470,917,769,164,103,672,762,403,190,221,083,182,937,795,
720,760,747,519,527,770,878,166,460,005,663,146,913,530,080,776,547,682,352,
527,686,132,431,129,433,830,273,540,497,301,392,012,443,879,237,739,498,367,
128,256,550,532,056,111,579,620,589,226,080,796,479,663,557,406,687,969,045,
697,095,528,590,085,009,138,231,754,361,138,534,365,448,608,622,224,497,989,
958,051,377,571,609,159,885,890,548,407,733,583,366,699,847,194,924,784,948,
227,445,987,455,494,447,689,891,828,935,198,836,666,870,379,527,255,743,834,
026,621,391,267,774,719,496,209,135,918,509,751,713,195,725,310,323,597,898,
164,060,875,856,266,248,018,075,736,739,337,265,946,742,806,350,972,596,738,
074,829,220,413,226,701,729,139,762,103,067,910,799,313,098,119,744,280,759,
348,376,060,526,087,707,949,216,399,713,097,928,909,567,498,117,861,555,593,
921,524,236,110,909,636,843,286,092,137,539,992,215,767,699,659,512,048,156,
883,657,671,222,695,262,230,466,970,954,468,117,194,761,699,709,341,941,337,
716,142,797,783,517,480,422,451,152,250,347,927,694,347,418,629,956,061,573,
169,616,032,085,878,385,261,764,961,492,880,137,191,054,856,281,553,176,039,
464,531,380,265,760,073,792,277,010,796,147,008,844,415,700,763,632,880,600,
182,327,027,755,897,443,606,363,602,713,927,447,607,231,758,961,924,991,589,
356,139,439,654,070,891,732,404,196,102,183,510,869,527,054,749,527,948,699,
408,343,042,324,905,999,459,781,829,225,956,770,445,580,789,580,209,443,084,
099,675,976,896,957,450,892,235,522,964,279,111,354,639,157,776,829,726,181,
702,559,297,196,045,394,502,512,720,264,414,477,798,104,567,003,282,422,409,
375,075,024,981,172,203,963,437,303,477,048,569,890,031,676,098,119,008,456,
601,403,916,079,628,487,177,062,445,740,281,359,849,623,786,416,128,968,552,
620,844,479,621,885,699,223,342,917,024,921,049,827,478,389,804,111,756,300,
492,521,751,582,050,029,434,085,254,031,410,189,895,861,970,454,060,466,248,
059,288,833,052,500,423,363,587,089,854,635,493,798,028,082,330,828,237,570,
937,168,483,494,174,158,071,864,150,488,079,308,570,896,763,722,038,265,890,
864,858,946,988,850,406,300,244,442,024,258,515,380,901,896,045,806,686,448,
843,650,250,297,284,845,675,549,433,251,346,875,391,252,077,020,326,672,505,
262,990,534,424,449,139,941,409,147,180,808,922,934,858,067,826,656,710,115,
603,547,541,278,293,960,867,403,415,148,949,116,553,893,180,057,718,257,190,
312,031,499,382,135,168,273,717,310,663,700,981,678,212,324,147,361,867,949,
161,921,688,613,673,016,888,094,628,653,187,801,727,457,517,691,189,976,642,
938,624,332,521,562,403,118,032,820,499,043,246,791,866,818,064,138,789,193,
871,574,987,509,999,908,242,160,050,360,149,178,635,937,330,294,864,074,990,
431,672,149,154,666,761,684,464,389,528,540,007,937,550,900,824,322,512,587,
400,456,929,324,590,173,449,182,777,758,401,568,741,211,588,195,819,370,217,
109,509,355,753,148,257,714,862,122,258,363,070,078,107,287,591,119,534,830,
902,868,711,449,579,668,937,376,649,116,499,463,462,421,835,952,375,041,357,
063,484,242,053,016,119,587,592,369,505,388,082,426,672,213,223,172,069,813,
944,464,113,289,741,040,062,391,451,949,578,766,913,192,797,441,191,865,712,
788,931,069,862,568,867,952,628,666,886,394,919,020,247,993,143,494,277,950,
098,394,985,004,117,837,622,284,023,294,047,354,637,327,452,384,528,676,849,
859,891,115,484,613,693,637,184,726,195,220,925,997,284,684,487,006,681,209,
605,215,650,921,006,382,200,485,854,849,745,318,980,512,717,250,672,506,946,
881,560,698,563,226,727,357,967,634,182,834,857,558,336,581,081,267,416,570,
615,509,695,279,855,972,748,287,379,356,907,891,516,954,950,899,811,189,390,
339,744,566,404,198,938,542,768,700,389,098,776,389,842,343,971,067,992,298,
485,862,221,829,457,139,318,093,102,255,178,693,172,125,900,992,983,109,183,
327,307,819,581,905,709,325,377,953,775,010,520,248,842,259,752,823,697,975,
833,100,887,565,967,445,459,393,833,849,737,498,581,882,492,237,877,110,473,
320,871,923,641,039,986,180,237,902,699,068,214,197,594,641,055,663,440,713,
137,946,747,537,769,532,580,984,281,012,057,083,362,827,222,718,027,548,078,
698,586,364,764,255,761,120,914,846,650,521,329,819,717,219,215,451,674,652,
553,444,074,378,029,062,294,442,915,007,903,716,905,014,116,218,984,299,258,
310,831,164,899,557,208,768,249,602,117,175,157,562,696,968,726,652,276,793,
809,683,346,650,074,343,213,037,802,164,808,137,978,223,546,027,729,370,155,
304,564,388,490,058,662,303,462,527,860,695,526,258,071,356,251,173,548,846,
108,926,360,760,585,114,738,537,944,242,662,359,747,190,773,823,261,069,040,
209,195,030,180,081,373,193,612,220,211,545,576,123,337,027,028,137,016,250,
669,824,616,562,372,220,561,525,332,521,087,084,226,950,385,324,770,689,940,
800,307,481,262,730,718,559,026,339,213,545,352,569,043,992,384,044,545,265,
040,144,893,701,479,159,442,681,530,013,085,633,690,390,073,351,450,534,913,
645,178,573,933,114,947,289,627,688,035,330,647,073,575,034,867,628,249,354,
389,132,820,950,898,527,366,655,448,819,132,218,698,735,152,146,885,704,643,
764,460,981,184,352,671,360,241,166,979,378,712,471,447,679,190,354,599,797,
841,477,989,270,399,238,274,732,113,556,203,169,520,820,554,951,582,624,916,
898,856,546,996,509,561,857,157,712,806,395,920,544,783,905,486,977,378,129,
690,471,361,449,111,720,920,534,075,799,414,125,765,620,538,384,251,413,179,
657,069,862,076,861,638,918,441,016,390,969,181,691,686,002,228,424,124,850,
860,488,472,458,460,767,899,005,922,713,739,876,173,923,750,106,349,913,323,
832,896,501,333,136,308,207,012,899,991,251,229,453,806,906,034,914,673,525,
111,478,426,037,662,288,016,853,690,369,290,116,330,133,153,436,026,430,611,
208,610,891,848,975,807,141,504,280,975,484,662,107,738,182,849,873,701,529,
197,158,015,801,043,618,209,370,696,018,330,404,874,803,629,419,615,971,263,
966,122,607,183,768,638,746,690,355,107,573,520,938,670,472,455,583,889,761,
659,799,234,730,750,708,047,781,346,995,703,444,433,793,507,037,750,720,262,
820,153,217,821,950,497,481,238,740,306,497,781,560,412,364,346,391,319,226,
269,938,492,480,013,071,221,550,775,041,100,762,803,556,802,046,884,981,267,
415,157,410,247,071,444,289,296,041,964,735,145,400,150,251,041,904,047,542,
525,427,851,486,943,658,251,433,091,668,589,587,511,957,238,190,966,384,274,
588,184,208,414,163,613,062,029,090,029,292,368,595,457,976,557,209,791,063,
977,146,839,556,260,573,431,558,709,177,580,920,044,708,251,968,020,960,428,
176,037,021,781,550,999,885,374,729,087,988,841,657,247,168,297,099,404,985,
566,820,603,531,805,908,919,006,896,511,071,109,430,569,308,021,936,703,970,
875,697,923,099,645,263,778,316,394,884,468,938,242,806,725,405,134,718,363,
999,170,968,147,623,119,950,517,029,289,211,015,721,378,109,274,956,713,125,
681,472,079,840,279,410,865,480,523,542,410,296,503,524,763,399,909,078,663,
116,085,184,277,742,045,995,917,007,644,941,094,914,813,459,323,570,387,120,
667,141,042,311,876,713,467,458,213,341,452,471,671,275,957,197,800,068,739,
322,551,360,310,672,176,240,723,030,410,072,703,544,426,702,437,676,747,059,
345,044,523,384,163,596,734,850,904,101,142,133,914,471,149,353,386,575,881,
148,352,679,052,768,879,533,835,438,959,603,843,955,978,135,881,989,887,810,
396,423,569,614,497,526,841,555,021,887,800,615,185,014,272,066,273,485,946,
673,931,788,370,056,421,571,918,114,804,549,998,715,244,009,209,208,810,602,
087,470,905,278,021,132,417,403,682,640,991,058,166,532,003,123,266,197,565,
860,224,904,328,942,903,452,589,206,897,509,590,999,950,101,852,671,176,429,
134,200,081,694,371,323,500,636,699,088,832,352,918,461,196,986,195,825,267,
647,155,168,293,566,734,039,345,643,949,688,444,595,790,276,124,791,404,610,
620,875,409,453,913,474,999,013,699,773,302,133,344,857,524,829,274,781,481,
785,998,099,843,762,506,264,768,062,505,850,498,909,989,496,441,640,060,580,
176,498,034,824,387,321,856,894,736,083,332,793,175,289,510,548,576,248,351,
102,547,138,388,534,108,197,779,298,304,881,170,613,841,618,481,178,217,174,
187,877,201,426,471,882,579,393,387,900,168,190,442,913,137,384,513,452,803,
872,278,412,034,533,682,410,090,135,156,364,015,878,759,539,479,788,906,461,
327,230,163,414,892,228,485,865,727,262,118,702,723,412,969,356,763,358,028,
862,629,087,505,684,278,665,381,551,923,506,095,026,756,354,663,808,304,053,
850,866,781,533,902,691,120,481,394,664,002,795,500,248,581,581,915,664,603,
381,494,471,502,436,127,202,225,147,090,127,583,330,981,933,368,732,777,947,
579,092,931,500,239,926,361,094,056,954,206,299,591,577,415,220,443,985,924,
143,355,795,537,632,099,191,186,890,866,932,924,467,120,734,423,321,513,164,
157,396,189,502,725,343,517,860,727,657,875,505,613,545,064,809,949,520,429,
186,497,152,702,816,466,948,394,385,822,925,561,379,611,686,722,318,727,684,
331,801,358,414,613,582,831,160,347,998,087,172,968,892,626,592,469,589,449,
447,444,228,509,432,014,556,195,530,213,518,081,999,353,238,576,837,280,203,
608,852,093,781,218,782,788,960,058,605,105,639,008,619,998,851,034,883,571,
812,510,001,463,141,594,987,278,023,413,441,070,809,712,479,231,906,036,854,
527,090,347,751,522,785,648,701,267,294,393,911,712,045,287,436,232,736,300,
781,692,597,086,954,178,448,885,072,560,873,385,140,091,224,620,578,686,146,
511,766,564,771,035,208,801,493,744,893,569,137,900,022,786,901,252,874,467,
596,667,692,025,041,880,932,678,984,616,497,335,533,325,479,351,479,241,954,
963,124,021,499,701,245,303,167,074,760,382,331,669,585,341,801,797,039,903,
905,631,849,384,154,436,457,341,512,250,743,835,461,647,129,165,592,291,067,
631,928,298,991,729,538,464,532,928,410,506,837,558,146,304,824,653,103,917,
589,132,852,870,214,158,159,326,165,835,595,483,093,273,339,527,535,836,630,
615,900,418,578,778,640,280,442,978,193,549,108,457,445,471,995,927,971,880,
695,803,038,080,017,357,219,142,005,703,282,642,877,443,132,741,261,613,571,
415,104,472,981,934,461,128,681,288,290,267,394,088,742,667,428,785,859,854,
533,921,404,320,218,014,996,555,834,715,151,276,407,627,141,497,252,339,115,
532,302,680,338,447,566,421,954,879,749,370,558,458,264,383,025,131,375,715,
005,081,141,156,788,417,417,947,782,231,401,400,631,837,261,792,740,734,253,
537,956,190,373,792,264,747,109,944,098,917,157,891,109,392,847,481,803,983,
975,520,586,752,313,310,538,664,880,283,566,922,761,132,339,543,863,035,117,
567,958,615,082,106,506,135,620,026,962,200,764,099,462,489,279,119,878,148,
072,944,131,544,797,845,486,832,055,139,646,529,973,980,481,624,799,879,390,
834,691,691,183,187,958,247,341,813,172,059,174,596,811,704,376,966,969,451,
537,915,098,977,545,339,281,300,736,061,380,007,780,951,098,791,884,446,141,
133,782,265,485,979,265,406,384,041,011,050,173,960,451,670,071,551,527,147,
536,733,442,285,385,020,971,058,446,475,651,807,246,600,599,420,885,125,733,
531,147,110,647,371,391,961,467,458,830,973,846,050,413,184,145,505,496,611,
760,105,055,226,006,339,386,905,282,623,448,688,292,292,063,401,971,399,390,
965,777,476,645,399,124,690,415,133,763,068,714,520,301,329,358,900,944,062,
847,118,947,305,683,964,117,763,849,178,770,304,322,188,472,463,773,319,998,
758,212,148,375,705,169,088,552,415,777,554,500,981,494,402,716,581,371,896,
685,902,946,610,588,602,624,066,124,121,668,602,297,092,497,244,139,462,921,
945,663,716,044,620,524,461,331,314,923,424,988,968,787,965,599,210,303,126,
188,954,246,710,229,741,489,390,698,758,715,210,452,405,455,133,883,555,880,
701,958,925,066,926,379,811,423,798,419,029,814,834,411,613,272,573,798,693,
969,227,803,690,016,513,681,929,294,923,338,324,152,349,638,948,170,356,052,
787,925,232,311,971,469,356,905,772,304,030,230,440,296,028,056,053,478,886,
066,233,271,442,002,816,442,388,922,598,827,667,895,424,656,176,262,932,835,
649,566,563,307,352,509,508,880,377,188,565,881,982,035,850,431,488,308,743,
712,087,655,734,633,240,644,919,540,699,159,345,235,148,112,618,545,986,779,
668,946,523,695,246,386,849,851,012,811,905,731,305,547,967,535,260,161,481,
921,436,407,171,962,833,740,362,475,973,556,291,977,616,007,010,199,513,653,
727,204,539,760,845,554,110,906,002,206,546,704,808,730,174,608,090,812,799,
760,026,422,794,479,268,234,902,983,889,270,282,366,186,884,199,746,374,946,
257,391,312,340,046,633,497,873,836,083,638,111,596,392,552,592,999,524,235,
292,988,186,927,977,716,521,766,685,034,338,049,915,809,932,866,809,798,599,
181,739,710,376,091,670,850,203,908,545,655,751,501,995,472,213,453,039,669,
183,900,099,663,157,168,076,215,790,959,948,025,730,493,167,650,744,392,740,
057,080,723,005,600,363,322,545,340,449,243,152,024,424,849,925,045,527,963,
168,522,209,991,409,552,081,226,299,233,549,285,764,846,620,682,150,083,451,
357,633,432,987,645,456,131,431,756,020,021,945,677,296,958,406,186,782,770,
076,415,624,435,642,098,225,876,551,975,641,522,875,949,549,443,372,480,369,
652,394,348,062,385,922,449,751,239,771,157,909,177,487,785,219,938,044,126,
572,072,058,295,838,131,061,311,515,113,685,629,811,521,466,724,453,929,706,
983,906,859,887,285,398,688,778,125,586,590,799,799,634,228,634,344,325,740,
869,879,749,037,461,220,486,741,387,863,853,055,600,637,243,834,136,849,783,
324,006,947,413,323,641,805,954,139,276,195,061,848,205,303,259,837,418,045,
475,890,955,058,325,673,901,625,968,792,481,741,955,575,914,676,881,835,570,
515,280,443,058,846,960,709,930,164,805,397,147,249,826,050,775,089,258,827,
540,740,831,926,901,636,275,367,337,097,769,967,268,785,508,915,154,263,706,
585,146,515,565,049,886,642,409,160,250,486,613,687,027,135,339,955,405,580,
770,343,884,547,185,647,124,977,319,146,621,023,762,085,139,119,911,036,893,
886,817,974,268,593,071,836,859,058,067,237,704,869,915,419,968,096,696,810,
624,778,694,889,009,010,388,294,507,343,741,812,164,822,499,947,773,697,165,
677,519,775,814,468,608,139,106,723,399,763,456,453,481,280,625,655,780,328,
845,987,190,486,402,609,932,072,704,415,683,632,536,757,820,207,707,285,122,
485,035,563,617,431,274,516,282,896,029,635,228,218,170,876,221,319,649,596,
916,296,421,140,376,676,144,106,110,101,365,671,521,020,510,051,167,455,751,
917,993,341,708,816,458,594,743,491,303,308,299,863,182,631,517,908,537,681,
571,882,007,711,772,434,290,858,547,842,276,363,239,674,994,857,220,708,794,
411,796,022,997,391,445,304,260,714,930,631,385,709,673,878,377,228,247,823,
259,237,938,503,642,757,019,402,049,810,104,927,501,336,640,995,869,443,550,
423,126,214,163,877,430,840,055,738,628,683,436,095,052,912,073,541,147,355,
621,183,230,528,261,520,360,415,231,814,990,107,464,923,817,512,353,423,629,
686,288,926,805,088,185,566,356,095,624,083,365,225,742,608,435,036,209,477,
297,194,317,721,294,641,724,816,314,780,588,286,330,672,570,423,745,697,711,
450,208,007,676,644,885,890,253,557,648,179,176,353,386,686,860,777,579,959,
922,524,250,606,532,791,500,003,507,318,286,867,736,294,423,208,279,609,394,
454,783,803,508,567,430,025,061,835,388,392,650,849,222,187,448,951,367,893,
392,631,285,719,038,616,730,637,698,198,853,441,246,357,965,019,753,035,260,
423,677,811,181,803,146,016,048,801,873,056,008,565,957,596,795,744,604,230,
406,307,636,044,959,611,587,029,552,990,710,284,400,767,714,563,387,776,940,
073,359,613,593,709,482,121,132,534,141,912,158,445,105,096,002,826,603,965,
424,643,571,931,062,238,113,348,067,758,556,840,856,936,358,904,457,634,045,
367,815,822,835,876,275,953,098,603,097,368,624,363,797,885,132,397,053,039,
713,456,446,347,254,768,627,459,219,447,030,531,479,771,349,895,047,886,997,
951,541,792,037,337,474,461,247,402,669,464,507,047,453,518,740,915,157,248,
279,523,316,664,870,012,325,008,430,890,087,553,621,565,994,888,749,675,998,
733,483,450,677,222,357,236,751,592,342,711,582,199,670,995,609,810,583,049,
882,692,498,631,788,964,909,859,475,674,622,453,118,101,464,542,377,443,269,
491,893,255,747,618,507,188,900,057,540,419,636,273,703,115,931,225,022,015,
820,126,256,201,528,748,728,368,847,597,105,550,762,100,616,587,730,705,315,
557,777,305,845,133,285,068,728,402,095,751,006,715,278,821,929,535,318,225,
259,469,465,969,019,750,225,218,224,837,320,378,408,148,256,473,198,375,157,
275,968,641,929,754,344,367,356,242,697,477,332,348,130,961,830,127,353,338,
003,597,383,179,065,385,278,953,395,788,167,341,014,328,450,249,047,323,858,
707,680,514,862,111,894,191,558,516,306,073,905,333,665,594,207,826,550,156,
487,543,189,721,625,667,024,714,097,161,122,693,274,587,486,646,130,954,579,
800,274,817,233,648,982,414,112,656,746,627,926,651,338,243,685,653,881,179,
031,289,045,626,773,860,136,359,768,586,889,834,801,170,986,669,925,919,255,
895,777,490,175,109,551,151,367,456,150,492,392,773,250,745,671,113,313,808,
179,924,825,484,000,600,149,729,993,291,028,874,353,600,632,154,653,476,904,
688,894,871,996,140,857,831,753,913,326,982,617,520,683,508,968,489,480,134,
155,567,024,106,319,483,183,560,453,067,200,571,083,363,411,905,461,739,296,
395,901,748,850,041,423,982,258,771,641,156,454,724,636,274,428,210,167,495,
535,824,093,520,996,169,408,967,361,933,109,297,037,006,974,373,160,574,466,
475,110,260,231,483,939,894,942,783,116,708,231,785,413,149,551,082,568,236,
026,801,197,303,663,284,778,416,650,759,653,897,978,376,310,793,407,478,553,
899,238,359,400,867,146,905,537,724,158,752,684,871,521,004,348,780,149,720,
879,745,109,901,471,468,149,454,072,342,046,724,694,565,070,622,181,458,617,
857,666,553,125,678,228,708,259,106,957,274,038,803,773,967,258,685,131,601,
446,226,883,479,734,741,483,508,889,557,710,816,495,977,648,729,636,322,753,
110,627,482,010,837,107,795,711,548,947,422,068,873,147,522,599,738,750,900,
767,430,714,849,851,468,829,308,719,907,044,067,009,374,054,462,533,349,236,
538,099,749,042,808,419,877,235,744,184,569,246,413,390,216,560,043,736,745,
962,360,401,974,008,065,172,999,773,301,007,792,764,657,143,357,157,365,020,
139,727,793,176,785,943,626,563,961,756,652,390,204,513,864,707,727,596,997,
545,955,329,385,362,581,865,835,880,007,907,088,969,320,987,062,844,684,353,
874,399,473,784,728,614,081,296,100,028,619,948,407,824,128,410,736,847,872,
849,435,720,461,739,649,356,387,987,178,945,664,812,475,092,379,705,886,006,
716,456,629,059,331,373,537,969,374,767,357,310,146,352,373,423,439,600,969,
716,929,823,808,960,804,003,601,822,943,787,237,155,263,935,745,359,819,482,
341,588,018,661,225,661,170,217,154,029,585,849,474,260,486,750,142,012,310,
796,520,825,494,481,876,075,182,478,854,785,444,551,454,907,156,688,265,495,
521,668,367,279,218,984,030,554,832,226,288,215,973,521,861,000,905,329,005,
240,686,366,793,228,179,624,177,655,846,660,429,830,341,240,557,214,724,245,
801,414,308,098,854,162,700,627,668,775,655,399,390,168,838,749,658,106,518,
901,969,571,494,915,152,508,735,222,083,703,145,742,573,328,331,813,665,722,
703,277,891,723,009,102,784,511,405,228,722,930,600,733,054,646,036,920,256,
870,113,224,114,741,536,521,488,925,187,941,403,552,317,530,417,309,908,127,
723,761,301,226,248,733,482,780,833,013,447,022,594,594,421,168,339,388,537,
854,923,052,414,044,473,126,816,075,373,914,020,573,107,816,196,991,385,137,
701,002,437,344,226,251,080,009,379,971,995,042,502,404,524,595,814,434,446,
094,576,541,646,329,549,692,886,520,094,039,805,745,862,272,510,325,800,497,
679,421,489,950,791,337,093,271,450,254,149,343,018,001,475,917,166,426,397,
808,803,452,980,273,071,931,066,259,329,276,499,475,893,598,290,187,271,533,
747,793,652,865,384,516,430,093,782,116,494,777,323,945,455,212,631,922,770,
652,661,789,916,096,166,857,854,776,187,006,984,025,823,353,472,297,321,576,
198,641,897,838,239,636,989,809,448,515,967,693,891,074,480,257,453,950,260,
236,092,156,844,054,112,890,966,259,161,063,423,008,389,627,389,898,906,611,
035,927,065,344,680,586,227,659,869,783,032,577,965,540,798,965,331,097,844,
043,062,376,641,054,665,783,548,406,121,472,110,990,829,685,524,178,889,671,
986,209,842,606,662,234,722,491,915,100,514,318,251,643,167,183,200,060,410,
591,791,083,354,029,645,573,447,982,972,175,542,086,975,658,988,822,838,326,
350,898,076,274,706,809,585,770,402,766,288,302,021,483,791,052,522,419,588,
949,375,466,402,633,429,581,731,983,967,929,107,974,143,040,936,571,081,077,
320,251,249,401,351,985,943,308,036,541,851,397,142,075,893,853,939,621,105,
957,780,929,263,202,491,320,736,914,244,289,549,770,326,124,988,439,504,125,
134,973,526,278,895,067,041,870,829,159,005,377,988,122,580,140,008,889,037,
874,287,966,131,063,309,103,135,571,143,476,387,307,829,802,781,202,622,519,
389,233,403,613,155,388,166,930,734,060,109,696,589,933,726,391,660,084,095,
521,164,818,360,033,627,245,395,059,339,518,287,764,338,884,948,616,577,044,
016,653,588,969,824,235,768,776,593,225,770,926,022,687,899,599,706,876,204,
912,113,432,522,197,192,956,902,470,855,320,693,637,222,831,910,284,228,553,
049,873,468,400,883,997,063,639,156,520,122,289,463,175,796,296,846,507,203,
613,360,294,478,333,792,661,126,603,030,511,967,066,053,838,911,452,446,910,
307,670,899,825,609,032,797,526,300,525,100,610,525,701,960,297,312,652,381,
360,471,767,144,323,481,204,623,379,369,679,935,886,157,473,046,442,084,025,
769,505,058,624,146,560,943,574,682,681,077,807,334,096,837,688,742,541,866,
818,958,677,148,588,805,391,270,676,795,085,792,154,523,871,072,561,096,902,
330,452,663,169,246,372,312,607,831,133,438,438,623,926,588,269,824,710,001,
200,323,948,765,889,701,845,011,945,589,570,694,593,919,774,170,495,497,856,
908,059,104,255,411,278,504,205,225,149,520,604,420,092,588,665,922,202,306,
470,351,183,289,955,153,143,510,274,763,694,047,091,329,523,771,540,538,450,
111,422,139,769,148,343,342,499,325,101,955,611,545,387,921,081,104,271,036,
476,459,179,710,016,774,694,604,998,951,618,197,387,348,051,757,297,685,762,
074,698,881,137,812,658,596,701,451,448,015,534,319,959,672,113,388,688,159,
127,425,990,574,619,738,093,061,809,805,089,591,883,594,433,726,589,125,753,
815,936,389,405,780,527,452,705,680,938,395,509,653,883,255,684,397,975,885,
387,599,939,424,514,306,840,454,407,253,293,566,787,224,033,952,869,976,820,
203,031,210,728,228,345,431,748,411,769,897,757,898,667,749,650,956,431,882,
789,120,467,196,026,235,296,586,519,855,871,232,393,125,522,138,376,097,217,
463,968,158,470,141,512,487,933,385,301,045,208,844,025,740,351,057,636,745,
890,033,387,859,572,396,539,026,447,561,178,293,559,129,248,076,998,338,038,
766,517,046,324,938,799,448,658,557,497,262,671,792,771,350,462,635,870,792,
970,564,093,928,184,349,293,660,726,371,145,154,105,707,669,347,181,602,298,
713,746,573,864,604,423,976,163,643,798,187,732,844,947,215,500,109,310,212,
254,999,932,919,128,443,700,711,494,729,123,592,837,159,714,830,287,890,381,
859,810,072,956,326,036,056,535,625,002,732,725,211,999,644,233,144,402,805,
350,511,434,463,799,445,713,919,063,567,817,088,775,221,793,229,749,286,780,
774,854,770,880,599,584,393,465,218,934,151,415,613,663,751,625,648,342,359,
726,513,279,761,824,986,928,500,796,130,671,156,996,182,662,884,103,954,030,
467,420,882,882,824,658,445,254,467,913,963,465,018,047,442,008,344,603,921,
457,378,253,763,203,951,938,791,597,561,136,142,317,160,234,665,132,471,631,
769,549,811,967,376,355,775,307,725,138,214,653,412,877,493,569,146,988,598,
608,480,181,735,745,808,933,549,029,478,819,170,832,494,004,921,288,885,785,
553,090,766,954,983,157,603,792,654,140,648,186,379,980,026,212,048,772,606,
050,298,765,022,958,826,450,204,970,845,807,576,594,165,225,065,774,837,534,
475,233,994,420,538,328,265,872,499,866,569,454,888,092,602,652,274,193,127,
550,549,727,965,003,042,874,653,503,051,606,026,695,550,532,048,975,137,759,
414,428,747,526,950,371,924,445,771,048,619,359,748,410,279,265,868,391,895,
222,489,915,234,188,749,295,839,159,987,524,792,545,433,703,242,025,216,046,
939,751,377,493,279,261,783,855,896,843,463,877,199,987,453,633,106,320,061,
325,994,317,210,196,990,253,455,827,668,411,160,597,266,052,317,237,525,888,
544,465,580,494,902,006,266,149,147,236,608,151,933,537,675,804,616,556,219,
201,075,237,463,352,454,382,897,422,381,741,695,798,250,181,556,478,873,334,
683,329,716,711,238,885,724,497,812,007,126,137,138,600,038,375,086,856,249,
603,059,497,809,569,723,009,950,876,470,934,058,478,855,077,337,261,319,697,
974,624,403,794,716,851,369,636,229,409,278,676,808,454,647,334,748,709,470,
338,397,970,744,823,365,248,460,742,225,246,082,897,449,588,950,500,659,596,
859,217,513,916,543,471,865,112,383,797,362,134,326,757,124,484,999,540,827,
525,286,462,879,683,261,515,609,625,998,833,891,382,712,146,616,074,996,956,
817,701,129,773,919,068,095,554,816,351,674,606,380,100,297,987,338,047,912,
762,250,150,279,675,449,421,517,438,826,436,061,351,286,500,717,586,090,551,
763,718,352,068,854,253,648,213,114,380,316,138,174,494,533,203,259,011,273,
022,362,844,286,027,553,728,813,132,309,295,617,573,011,576,592,829,299,387,
677,458,825,242,088,997,264,745,439,631,118,668,910,207,629,946,148,089,395,
748,203,435,219,630,286,685,629,720,896,836,364,645,202,854,635,603,544,070,
340,796,808,067,362,868,443,246,781,708,123,333,972,484,491,989,847,531,994,
300,661,525,369,322,140,596,984,600,733,330,377,394,498,411,471,312,691,441,
342,385,225,795,377,363,181,273,721,383,517,908,185,626,073,724,227,136,812,
011,579,268,283,203,231,034,939,638,463,856,049,096,697,201,332,740,020,043,
753,201,279,402,136,813,759,467,157,246,471,427,894,133,132,937,198,736,516,
159,614,813,807,052,131,935,432,924,882,327,291,604,689,993,107,937,411,361,
494,268,925,380,862,161,677,422,761,217,364,694,255,243,223,307,493,493,787,
741,029,818,348,084,462,397,174,297,940,492,384,629,914,127,532,895,579,064,
632,929,141,654,967,208,065,636,418,993,232,095,612,379,122,325,960,582,932,
393,514,229,857,970,613,805,040,511,318,329,165,672,881,888,671,733,527,632,
783,908,706,038,393,849,417,753,049,410,648,448,960,908,129,414,480,918,526,
633,673,035,179,779,581,902,126,057,172,142,182,765,877,668,375,937,519,279,
982,162,184,378,823,080,471,938,682,631,095,172,432,769,257,693,468,960,966,
077,302,875,525,579,870,495,831,240,392,352,672,073,755,542,085,858,397,936,
671,673,476,574,873,575,204,043,093,288,642,667,939,593,389,875,265,933,944,
626,682,174,537,308,207,191,215,514,294,734,845,233,060,428,568,204,142,191,
373,629,294,748,729,816,978,131,522,850,170,816,125,370,908,308,223,880,135,
602,810,036,766,687,118,008,676,185,473,215,732,223,762,068,750,522,704,190,
793,176,911,799,616,687,764,354,872,844,106,386,509,742,805,195,566,530,667,
246,807,801,258,639,444,037,895,396,679,014,854,784,769,567,851,150,482,123,
898,587,314,477,956,704,984,424,191,946,173,222,148,461,521,440,990,624,793,
915,335,128,067,823,653,333,741,049,997,546,503,872,354,453,537,945,772,359,
503,330,198,523,223,790,071,629,482,608,517,479,069,839,970,149,897,475,786,
043,707,157,565,808,996,302,672,581,897,661,184,485,927,996,114,989,993,463,
931,839,540,909,828,843,700,386,213,567,589,230,142,674,175,732,931,475,588,
869,955,161,685,107,922,809,091,481,569,346,176,638,450,123,449,519,388,002,
002,987,876,150,695,388,662,302,134,908,271,693,146,156,631,212,609,339,002,
874,449,451,024,909,910,410,130,307,168,492,348,068,598,187,782,885,905,183,
187,373,223,163,340,928,335,431,374,931,465,131,571,107,356,150,212,655,324,
674,840,933,967,611,534,090,660,372,941,590,498,575,009,025,273,431,907,570,
931,419,829,732,705,404,438,648,032,016,318,364,784,529,807,271,742,257,565,
862,180,726,067,748,980,835,251,968,740,066,874,994,806,807,899,256,996,513,
532,027,437,670,427,242,735,676,358,626,669,388,166,557,674,781,124,792,491,
788,220,693,890,615,291,025,070,745,576,497,858,387,159,714,055,003,159,790,
908,376,997,925,017,865,088,176,085,856,053,088,073,133,850,418,742,261,395,
927,110,357,506,076,145,155,715,091,041,763,713,017,054,148,004,304,422,267,
513,098,284,061,849,333,896,458,848,241,563,468,383,262,717,422,648,800,186,
916,764,648,055,735,792,712,168,623,037,859,201,953,406,973,617,046,996,552,
879,935,167,380,590,440,107,305,653,815,470,822,938,749,369,756,281,836,164,
725,747,740,956,532,514,782,215,821,952,709,281,293,873,875,757,615,901,318,
917,029,141,314,592,140,702,486,209,931,035,440,833,895,624,995,771,892,181,
574,954,116,849,862,246,488,693,141,118,313,373,522,427,777,831,251,240,800,
655,899,517,436,230,120,244,506,817,200,908,109,068,713,518,490,525,100,947,
889,158,964,301,079,727,575,801,886,510,306,826,381,089,770,154,484,001,119,
839,310,369,802,434,156,855,981,878,644,884,439,159,307,089,706,792,699,695,
501,992,262,032,261,349,999,265,135,490,135,967,333,063,954,440,935,572,731,
534,899,498,931,059,683,069,355,750,343,239,029,643,292,639,169,829,205,282,
359,940,641,427,494,329,839,807,746,783,250,823,487,457,150,346,607,306,285,
407,048,240,083,817,504,866,600,151,275,529,830,242,588,271,223,294,133,360,
654,568,409,649,720,543,689,735,947,063,535,167,904,835,408,615,072,535,533,
577,868,643,065,639,094,250,063,122,853,895,020,291,841,567,916,062,560,144,
729,585,627,616,140,141,324,566,295,754,362,780,166,553,271,643,947,269,191,
592,582,181,180,869,724,909,558,871,394,707,389,716,340,379,395,580,391,045,
249,355,800,592,877,230,055,840,288,515,932,579,120,364,630,361,213,352,860,
862,640,060,171,447,636,043,336,779,203,700,141,757,621,959,142,117,805,544,
012,919,770,463,964,348,134,667,091,494,573,009,370,173,470,877,369,334,454,
524,903,250,786,485,071,446,170,458,742,113,034,625,547,079,373,832,495,894,
838,055,592,135,888,879,274,688,351,049,967,878,904,837,333,127,200,539,299,
273,571,545,547,620,454,309,082,968,541,039,444,581,031,101,686,519,676,713,
639,244,991,182,247,823,399,809,520,512,705,585,736,021,733,137,147,964,449,
676,480,913,224,225,593,185,395,805,462,208,706,920,022,390,022,902,795,261,
346,258,857,913,934,213,555,023,437,644,845,151,642,358,384,846,902,383,166,
164,298,788,488,682,645,062,610,307,067,289,767,434,970,172,551,079,772,431,
157,513,782,643,566,753,032,832,715,621,065,817,163,514,932,631,091,617,124,
510,000,828,838,965,871,084,395,785,100,045,730,978,055,956,438,358,777,973,
267,949,325,662,953,388,339,710,410,248,986,380,293,665,318,728,897,765,002,
707,793,810,663,508,375,717,005,462,156,245,457,136,935,773,505,957,397,196,
691,024,811,722,447,553,631,645,132,234,148,628,408,901,917,352,179,184,261,
559,062,078,283,577,504,452,641,027,445,534,871,977,174,812,859,519,991,213,
331,819,846,867,869,129,067,671,223,890,267,522,034,703,085,953,079,496,284,
629,154,128,467,168,442,005,084,210,993,457,438,144,107,365,533,596,399,196,
105,617,454,485,913,962,332,440,138,834,159,065,963,392,188,631,614,164,492,
688,134,930,109,932,990,653,173,070,834,493,306,418,852,864,256,586,666,017,
066,256,599,117,342,969,183,472,999,063,062,660,131,271,628,348,362,891,808,
202,439,508,570,476,777,896,740,089,914,734,568,911,293,456,081,636,964,389,
327,220,087,657,742,080,581,460,476,052,907,618,706,058,618,445,620,421,144,
869,341,982,581,762,566,193,588,920,050,554,641,999,066,269,937,674,663,547,
231,240,223,473,162,339,327,901,837,117,160,510,381,831,201,949,027,303,408,
443,766,331,114,289,500,782,833,114,509,463,246,642,208,242,426,610,911,012,
737,049,386,234,959,058,729,220,254,778,451,948,901,976,096,659,286,361,325,
617,924,239,569,359,990,614,321,725,252,859,662,318,195,364,583,729,390,360,
061,062,007,231,503,896,362,290,513,594,684,061,129,487,897,011,742,134,488,
611,023,988,166,869,732,330,971,635,033,186,836,660,257,907,818,482,770,347,
040,106,994,969,554,094,241,630,093,752,638,928,969,875,911,489,477,374,847,
042,641,813,215,782,558,945,114,400,943,440,403,354,788,364,056,038,703,287,
834,115,833,614,844,447,783,759,941,239,824,668,294,434,378,696,442,822,558,
502,580,444,266,900,280,425,995,339,488,727,002,471,110,070,148,719,820,522,
988,079,476,105,605,138,392,374,424,128,722,984,685,067,230,084,597,039,673,
796,309,296,754,302,826,031,207,124,688,083,997,641,987,873,324,562,268,027,
294,408,589,086,709,008,586,301,543,808,406,825,587,260,195,679,557,839,121,
293,778,646,971,546,576,240,179,693,256,446,886,415,104,432,883,261,513,554,
498,057,300,713,446,957,949,066,482,412,881,578,465,814,104,038,331,487,361,
679,978,621,999,293,486,084,138,410,655,026,551,758,351,353,414,958,705,218,
646,532,044,094,353,603,183,605,368,491,700,143,551,397,757,293,038,021,532,
520,907,880,462,674,657,396,035,643,366,505,295,250,149,950,412,708,002,471,
526,367,289,971,771,248,847,049,143,941,023,055,071,874,712,366,253,484,583,
427,358,967,878,547,821,332,211,576,058,820,122,083,994,368,580,990,653,486,
517,412,642,347,580,956,907,963,757,839,615,601,940,563,868,696,832,255,119,
508,361,723,670,206,646,725,245,714,470,410,797,529,417,433,800,954,292,724,
252,712,827,157,635,045,056,099,928,914,742,735,592,719,777,179,473,431,157,
113,518,364,019,939,560,268,148,002,965,133,127,887,830,845,509,371,116,065,
268,432,095,686,204,336,120,813,202,667,541,553,773,679,390,408,474,688,037,
822,112,047,470,425,967,206,241,555,419,330,881,280,090,187,059,655,409,179,
447,817,343,338,895,830,878,802,641,010,170,146,987,320,525,803,203,572,244,
832,016,090,743,898,608,167,124,600,774,276,030,699,792,139,490,786,523,024,
321,928,921,512,317,310,642,807,190,325,117,018,481,241,763,297,697,079,656,
725,470,632,699,987,052,569,028,739,835,605,368,012,073,718,864,672,714,667,
242,579,626,911,737,021,626,456,694,850,450,940,622,282,227,150,295,536,246,
684,760,445,818,273,178,099,278,294,068,254,360,121,651,240,391,982,154,559,
104,409,779,855,771,512,170,099,544,559,003,614,610,712,388,972,753,251,549,
457,088,654,295,766,785,630,103,264,692,821,114,266,834,668,768,268,478,536,
342,328,887,332,550,819,827,676,676,163,195,774,070,290,294,979,046,652,991,
465,783,433,991,895,097,715,813,437,020,286,050,303,775,996,107,204,253,773,
166,528,308,504,157,446,126,697,848,788,409,876,010,420,678,124,044,149,789,
737,349,883,715,094,700,272,649,139,956,273,596,322,403,563,448,803,897,773,
346,453,950,875,331,325,289,671,131,483,763,158,552,951,845,069,676,797,453,
590,113,653,445,622,856,019,402,681,531,480,954,247,368,030,274,885,888,951,
467,833,867,614,372,021,909,670,285,878,324,402,665,999,716,507,426,121,790,
440,479,041,913,750,133,040,407,568,364,420,489,401,763,494,034,099,982,268,
311,275,700,034,310,305,023,156,616,600,541,853,704,099,937,423,348,692,556,
072,246,529,196,027,920,030,667,817,444,070,051,481,776,753,292,120,540,119,
762,898,664,666,094,647,678,792,033,133,838,071,546,152,268,640,358,002,107,
675,940,732,072,926,787,691,055,912,655,799,973,637,420,607,460,213,056,873,
488,618,313,699,699,158,042,608,087,610,180,033,344,483,411,239,304,921,834,
981,791,074,161,237,824,097,511,822,819,371,034,354,285,191,675,072,158,326,
752,306,309,086,575,721,359,272,855,348,999,235,791,089,168,052,965,416,886,
191,175,587,700,910,093,746,361,764,041,882,565,653,388,599,904,712,761,719,
265,175,587,030,759,112,298,990,685,656,080,220,706,395,046,193,141,548,956,
803,770,537,282,120,011,067,576,450,520,714,718,436,878,976,189,350,008,317,
390,269,383,164,316,598,742,801,247,912,583,138,087,987,728,925,631,634,392,
258,375,544,301,338,667,317,882,975,488,660,105,350,183,941,156,980,922,264,
020,109,620,874,798,019,392,135,783,640,892,346,782,620,019,955,239,504,159,
562,484,456,487,542,198,368,926,718,374,673,720,097,686,665,825,393,666,959,
930,316,218,902,148,904,446,881,498,528,261,044,500,198,797,698,807,279,443,
287,882,909,326,362,169,963,303,453,242,856,580,512,451,339,768,478,577,604,
338,565,002,044,990,436,057,450,381,111,144,075,006,854,694,834,937,784,475,
969,358,442,345,293,602,535,536,629,089,680,943,597,725,105,748,639,474,717,
693,105,547,188,113,978,773,864,688,894,174,818,353,357,958,716,343,638,865,
601,075,965,090,631,337,111,727,047,634,779,629,169,566,138,737,240,934,320,
424,565,010,767,833,053,522,490,626,097,923,226,650,509,932,909,191,452,026,
558,490,027,994,885,433,929,264,137,487,230,537,049,610,303,097,637,128,688,
765,592,005,117,798,219,546,691,073,103,635,235,198,059,960,032,819,219,813,
982,915,487,946,605,966,029,854,466,581,141,199,345,182,145,761,887,635,805,
571,403,073,548,418,622,256,480,651,366,282,789,517,683,350,028,280,254,797,
712,059,154,818,610,364,050,981,138,210,936,697,261,131,111,285,292,604,855,
066,621,679,744,432,363,036,920,200,451,213,017,609,642,353,229,735,372,080,
852,226,926,433,567,955,156,881,208,825,106,873,586,981,297,773,406,073,244,
592,843,293,144,953,355,388,457,867,876,354,690,672,308,794,590,003,584,094,
314,681,038,567,056,206,773,813,512,894,635,679,364,789,257,962,585,769,113,
879,036,840,153,620,247,242,988,396,395,189,263,572,639,345,375,683,698,356,
125,043,067,003,413,318,554,593,007,671,144,881,207,687,085,519,445,001,512,
763,618,727,009,954,947,045,964,835,653,170,762,071,688,301,224,235,681,479,
911,092,878,310,921,167,444,599,093,045,322,129,411,977,558,180,587,271,680,
053,254,194,622,590,790,176,460,793,275,236,343,475,132,250,130,825,005,225,
389,064,033,275,137,228,051,703,290,979,326,965,605,569,893,050,200,705,344,
244,670,521,103,454,287,684,386,836,221,940,213,455,448,767,515,695,730,041,
755,188,124,760,368,033,746,969,761,969,164,916,580,045,352,710,157,615,527,
565,830,682,163,302,008,791,770,517,139,200,705,950,803,521,331,257,666,467,
399,123,991,403,236,645,873,231,486,614,129,732,093,745,042,758,876,836,099,
637,377,836,222,999,505,333,659,575,413,203,163,110,356,163,762,069,361,570,
620,600,224,893,223,446,203,100,669,221,653,929,498,053,208,918,495,985,006,
023,404,321,593,361,973,730,426,676,837,602,751,205,799,778,816,455,505,118,
893,967,335,408,093,062,515,994,674,953,195,971,043,938,435,767,151,911,287,
788,542,472,207,496,195,369,906,153,045,085,385,747,522,252,778,019,203,649,
264,587,388,226,001,118,723,263,210,681,005,605,155,642,214,714,390,202,656,
156,355,742,784,879,795,676,508,188,119,495,159,190,766,582,169,308,157,741,
808,278,866,783,792,662,305,361,717,530,201,980,017,131,653,389,685,449,329,
785,807,161,326,853,317,447,154,888,018,398,315,869,935,667,763,077,813,710,
687,089,174,659,326,973,497,673,898,767,120,081,093,751,308,915,882,824,505,
001,423,000,663,771,587,191,710,491,865,028,142,798,907,935,179,567,522,397,
778,631,516,293,050,402,584,358,057,441,389,348,548,227,692,988,901,855,313,
183,903,323,993,842,446,169,416,001,862,583,527,970,384,663,921,080,469,547,
197,991,714,476,685,501,580,248,066,582,954,132,419,146,206,270,241,414,627,
618,545,334,790,252,936,620,336,406,307,226,525,343,444,864,516,532,556,193,
056,291,406,915,508,747,306,945,564,348,933,464,532,581,847,512,708,737,060,
916,855,461,206,078,504,630,435,798,601,908,848,704,732,452,035,205,894,285,
545,997,706,238,613,476,829,214,331,977,482,785,699,231,123,461,422,905,274,
726,468,210,256,735,593,987,605,691,660,897,621,805,955,889,280,321,384,923,
787,790,363,209,932,022,636,238,801,355,575,271,067,479,729,150,774,549,408,
609,467,670,481,366,712,158,611,305,500,443,325,098,831,959,820,250,322,258,
309,126,555,606,374,615,935,463,848,089,487,912,376,779,194,183,377,645,881,
015,523,053,015,179,925,686,739,137,353,193,067,606,432,237,571,439,158,493,
946,279,224,055,404,939,779,028,752,851,713,356,253,759,555,180,024,068,841,
186,185,497,076,616,180,258,341,627,232,659,649,817,665,783,031,388,766,765,
423,718,665,727,886,380,866,998,930,947,501,044,555,078,707,768,483,397,344,
567,193,539,067,681,010,950,847,913,996,903,809,810,850,653,339,769,112,994,
515,414,178,703,484,366,954,890,320,585,325,206,351,150,706,392,598,622,113,
878,901,432,555,549,451,237,837,694,707,991,804,119,749,162,972,884,610,132,
268,377,119,333,098,960,051,822,650,912,330,761,204,273,817,385,438,028,787,
522,226,904,448,904,601,603,944,556,296,370,267,092,760,983,138,036,523,799,
487,106,127,691,207,882,902,131,162,272,364,759,342,168,024,873,897,224,118,
725,498,668,460,864,411,838,905,226,250,609,712,582,442,776,360,886,293,887,
583,688,941,921,358,644,274,042,514,263,348,416,850,086,757,421,931,465,449,
280,985,880,883,092,976,825,200,446,127,061,435,396,587,578,531,578,036,319,
843,802,127,112,780,331,205,317,847,915,362,002,185,434,828,783,357,747,034,
298,546,215,070,454,411,921,404,457,071,366,683,822,269,488,593,746,059,955,
708,459,327,322,347,939,913,283,120,080,450,697,323,109,176,005,515,554,164,
853,804,311,019,612,687,803,970,085,758,207,437,322,052,629,904,586,743,592,
172,998,871,133,471,076,384,165,187,125,057,708,088,701,582,352,245,246,174,
614,677,002,301,867,977,146,468,955,321,601,334,665,717,941,905,728,680,446,
826,389,418,945,329,266,192,390,850,356,573,139,538,621,919,798,789,716,809,
564,538,277,626,133,629,730,588,135,768,897,911,951,114,883,095,534,378,790,
287,199,738,647,303,405,059,661,269,604,347,956,461,290,392,234,706,850,309,
551,917,953,536,796,954,647,464,819,412,520,296,914,044,449,494,689,753,536,
202,353,269,989,392,131,071,275,102,512,220,308,061,099,627,271,341,725,520,
582,192,913,209,945,751,165,505,455,938,550,547,107,544,096,224,888,187,348,
499,477,953,004,604,948,783,243,943,832,617,646,958,171,892,366,755,512,407,
918,030,105,900,408,761,682,847,614,616,643,453,607,211,765,412,800,626,054,
364,133,004,482,538,843,041,320,405,737,412,017,837,208,892,804,631,390,767,
296,599,282,138,202,878,494,888,636,602,845,692,925,083,543,375,417,231,670,
398,985,546,204,149,079,980,428,386,796,652,738,817,883,810,597,938,731,706,
971,086,082,371,724,867,054,422,232,774,595,159,823,359,072,720,078,844,098,
651,639,343,960,112,532,482,723,624,330,841,631,872,452,170,651,004,058,646,
734,447,345,117,024,629,902,859,582,036,207,301,301,587,294,251,927,665,166,
085,359,596,770,046,985,697,486,137,906,848,628,781,920,471,538,021,250,233,
862,985,621,896,791,087,115,188,360,088,087,303,706,157,083,743,330,698,571,
892,712,295,827,597,297,522,530,733,833,395,514,893,199,387,842,647,771,239,
357,154,898,100,915,141,396,787,494,580,044,581,790,038,604,828,622,033,216,
719,311,974,327,508,655,643,635,002,443,675,630,862,017,214,027,060,350,756,
993,404,440,381,501,291,250,047,443,257,721,509,000,634,848,760,057,824,321,
004,074,835,632,490,954,445,357,251,968,243,942,786,672,751,147,449,790,421,
572,244,971,731,872,249,213,098,650,353,863,881,367,896,432,935,580,570,136,
003,903,378,253,840,624,718,667,849,910,554,763,940,023,668,806,855,468,899,
586,214,883,419,207,690,596,354,805,471,023,219,575,083,231,462,642,673,372,
573,169,979,718,797,261,824,982,950,965,454,650,929,901,778,053,431,907,173,
749,863,352,061,485,101,621,567,224,742,858,020,465,443,508,451,140,269,292,
862,098,126,512,166,135,411,314,645,937,501,715,360,796,973,984,236,797,210,
864,413,173,879,362,149,762,109,816,985,174,298,576,561,516,290,345,727,181,
433,174,273,212,893,705,093,298,462,546,649,938,632,273,395,453,882,058,160,
027,553,854,439,875,392,811,009,053,220,294,771,917,006,152,945,479,723,373,
173,550,815,071,292,120,113,897,904,037,625,481,314,921,344,644,941,271,815,
751,681,933,798,807,814,147,868,126,828,183,337,634,324,638,355,190,047,684,
347,804,486,654,616,055,208,846,417,842,941,798,575,869,100,988,600,309,596,
901,208,826,929,778,338,360,560,884,340,802,554,304,671,890,113,704,813,321,
963,856,296,985,345,000,741,728,701,488,253,573,984,089,236,375,124,881,064,
709,108,624,018,118,867,502,089,063,360,051,818,805,020,299,112,304,797,015,
535,151,513,993,338,566,475,524,968,230,088,506,031,561,878,532,921,313,039,
370,703,911,238,414,368,889,960,520,876,665,263,160,353,761,261,625,089,031,
469,488,594,145,010,941,992,731,197,915,363,881,030,166,227,318,116,505,763,
710,321,861,923,761,771,037,459,187,243,662,794,067,633,458,455,323,520,844,
995,933,823,596,650,089,174,989,012,824,935,892,056,896,619,160,420,286,214,
766,506,390,495,245,233,407,951,037,759,839,633,474,846,811,278,033,947,893,
608,975,339,309,274,904,851,213,431,904,081,390,133,534,848,797,616,289,149,
600,191,901,212,339,403,580,002,003,473,051,115,237,462,310,936,277,911,657,
710,573,900,222,366,657,551,996,239,495,888,213,361,667,071,856,914,101,822,
529,613,016,405,487,091,324,767,631,861,090,546,328,030,102,348,682,968,602,
383,479,377,074,842,271,555,441,608,593,301,989,021,103,853,076,463,841,553,
447,880,667,381,558,545,749,858,361,833,250,060,795,155,645,125,671,588,227,
870,904,555,537,084,316,185,173,842,606,650,571,492,488,428,393,159,383,265,
500,892,050,926,119,626,925,940,642,955,225,364,359,869,978,028,188,947,754,
045,100,124,953,078,006,025,494,012,339,093,124,019,835,094,209,136,074,305,
349,155,737,792,786,476,764,607,018,215,457,189,214,224,219,243,628,912,818,
038,767,243,527,541,008,769,283,703,198,477,428,050,886,734,472,397,061,358,
170,641,353,561,501,233,604,520,394,179,861,982,610,242,284,099,051,617,209,
568,614,800,311,160,611,443,904,818,255,307,045,807,226,794,345,508,250,359,
710,241,564,638,146,369,201,115,909,773,052,225,774,603,176,319,602,557,125,
487,940,259,368,116,893,762,389,159,001,504,862,287,117,035,458,405,486,888,
174,735,976,443,243,476,008,456,144,819,742,572,120,336,077,891,857,165,400,
222,919,473,063,740,679,131,347,636,715,218,388,554,510,863,463,706,970,649,
740,341,110,239,287,450,878,062,539,288,365,163,778,778,455,923,143,612,837,
835,895,013,403,575,398,182,510,435,279,537,114,465,561,363,801,804,689,518,
528,649,207,578,166,516,844,040,576,078,821,813,818,087,222,299,498,252,630,
024,618,310,983,806,224,639,671,432,369,259,885,995,612,729,144,646,970,595,
164,174,955,592,145,544,429,887,615,457,050,755,166,499,326,084,621,263,937,
419,282,000,839,517,752,103,871,132,319,665,442,215,633,830,142,369,755,234,
935,272,934,883,205,409,489,865,153,207,159,553,954,927,524,599,729,480,107,
532,511,799,461,813,946,053,882,227,430,933,483,498,458,197,498,867,348,134,
581,405,213,692,382,947,180,279,812,149,442,937,933,085,293,537,103,821,563,
428,017,408,587,632,696,768,621,756,275,019,468,339,602,695,216,608,542,880,
835,514,211,437,241,634,575,941,493,060,900,015,316,696,865,733,663,750,097,
348,384,163,883,871,231,817,865,912,508,356,711,725,975,005,403,571,227,940,
012,870,590,694,597,445,637,471,353,174,602,379,482,675,581,075,933,670,724,
572,045,435,588,614,984,347,080,659,370,011,663,918,266,056,865,923,262,546,
565,837,342,805,233,398,971,881,803,415,898,924,741,165,018,479,593,690,467,
257,039,064,999,873,707,401,476,900,935,709,100,179,186,016,075,615,825,049,
570,835,884,939,195,283,259,043,738,825,637,203,717,053,903,662,459,997,971,
072,124,441,443,511,669,212,503,427,030,435,356,045,744,095,028,030,345,615,
045,876,862,739,293,151,596,847,135,697,606,338,064,311,951,928,251,505,726,
824,654,184,231,124,524,547,065,260,591,389,808,870,085,783,557,543,604,806,
241,236,056,801,621,485,361,580,795,194,271,489,490,413,933,555,428,807,308,
371,391,485,216,243,224,602,717,835,905,800,876,591,294,116,047,618,840,733,
202,657,689,967,526,845,331,478,744,721,672,578,334,115,252,597,901,430,048,
774,522,170,302,653,507,015,885,199,789,925,603,543,305,203,532,163,586,600,
635,732,488,845,895,054,976,642,127,662,482,102,736,208,099,739,078,925,546,
530,799,197,751,507,786,868,642,864,725,410,927,854,802,411,173,601,969,045,
223,214,729,739,396,325,768,866,136,500,860,833,952,702,569,448,813,504,406,
046,759,882,738,475,507,697,849,865,608,755,516,659,189,910,601,579,901,981,
354,042,112,902,327,257,400,170,412,585,687,579,664,768,637,943,273,492,899,
628,359,296,968,127,045,517,155,054,591,741,648,401,357,393,990,838,387,031,
019,664,551,951,746,076,711,146,297,767,082,478,331,048,591,740,652,398,435,
652,678,401,370,324,221,593,484,348,758,558,787,772,172,050,989,359,808,371,
769,904,396,043,987,320,627,875,389,393,924,380,620,624,067,087,790,182,998,
669,489,434,032,466,558,868,149,245,972,970,590,908,661,477,024,809,790,660,
917,569,822,617,379,132,513,235,167,248,020,603,944,034,372,332,237,473,024,
429,344,130,929,208,209,951,475,771,683,530,309,582,718,538,738,806,342,941,
983,050,181,822,955,747,705,766,694,648,734,822,524,663,608,721,680,495,067,
468,696,679,176,901,819,986,837,752,655,727,491,358,425,694,164,902,190,439,
131,213,989,724,073,862,289,831,420,035,951,484,097,815,832,619,988,164,561,
621,046,669,969,654,260,801,167,870,434,150,753,770,889,438,152,158,362,865,
790,098,421,573,732,863,934,297,290,478,653,328,779,816,499,225,376,214,625,
548,369,134,429,855,376,102,731,853,096,429,017,994,594,725,254,725,015,730,
729,591,804,852,950,790,594,362,297,257,267,251,242,820,474,439,855,869,524,
687,320,509,159,622,122,920,370,352,695,307,488,557,663,028,137,197,024,208,
564,383,513,589,198,426,364,888,650,125,318,838,685,182,683,693,490,889,917,
983,572,192,741,408,635,613,192,840,779,020,489,050,364,985,466,093,984,556,
860,569,608,827,688,852,956,791,754,904,559,141,334,030,864,185,586,026,937,
684,624,398,954,616,537,569,114,037,750,795,700,261,811,160,618,645,661,995,
209,148,666,512,177,625,852,055,368,608,130,786,088,856,793,414,516,700,210,
206,934,264,059,587,716,521,383,338,582,639,833,605,471,708,065,161,991,063,
528,569,623,003,778,632,457,828,114,229,020,223,959,452,640,637,585,330,472,
571,895,509,000,208,435,732,541,101,022,078,359,339,036,387,346,580,609,897,
451,054,366,287,502,055,157,963,679,530,328,073,544,600,327,534,725,415,203,
716,319,055,458,370,743,669,859,292,124,350,788,452,891,726,753,176,604,642,
414,298,838,339,727,471,942,291,048,437,018,777,166,642,065,208,303,972,887,
197,622,344,431,590,588,143,475,070,754,146,384,090,345,237,395,928,390,949,
839,006,600,758,168,111,242,610,956,682,369,284,536,198,142,518,459,299,515,
730,786,436,277,227,063,861,258,098,923,056,485,603,257,172,787,527,543,671,
181,588,325,091,931,468,056,871,311,588,952,345,156,332,930,903,045,787,463,
659,275,740,207,843,649,380,101,219,333,013,649,790,065,767,031,068,514,468,
982,787,018,461,262,871,230,445,137,376,989,938,475,296,033,293,898,120,386,
556,144,724,429,572,324,313,923,918,051,795,508,462,121,216,720,767,861,725,
489,727,461,566,840,938,073,004,617,127,094,698,143,258,603,513,822,202,391,
306,909,358,415,929,215,503,074,782,245,464,093,081,702,067,246,818,013,421,
547,487,977,276,224,567,367,922,167,569,549,603,369,588,352,404,673,415,839,
692,636,135,629,095,791,372,912,141,670,218,188,889,129,371,680,778,501,774,
039,766,709,046,987,407,930,156,349,454,925,315,068,349,542,857,131,727,081,
238,567,596,126,519,492,130,283,150,532,117,429,365,998,618,285,920,447,137,
283,544,695,740,744,227,896,058,821,362,770,866,772,833,658,407,088,580,648,
880,871,393,390,974,596,691,727,314,832,658,968,163,097,356,851,224,231,852,
572,133,915,449,850,016,754,743,815,260,520,773,475,488,165,602,194,307,213,
584,109,763,102,288,758,473,620,821,404,453,654,335,769,288,371,158,729,892,
715,508,389,154,257,090,068,621,101,877,232,488,221,342,204,207,129,805,945,
339,280,627,353,609,978,548,158,206,879,177,368,593,269,569,961,420,782,494,
903,112,511,499,007,103,141,688,521,733,259,321,916,952,098,171,071,563,987,
803,711,869,046,080,962,548,336,849,563,792,632,452,047,779,655,956,827,565,
250,294,621,603,062,688,822,518,462,588,061,833,830,551,916,143,545,245,224,
543,464,750,719,230,531,686,889,609,904,360,957,814,905,269,427,589,068,609,
756,457,853,195,807,269,783,561,846,885,353,299,840,332,035,174,965,926,925,
418,319,476,176,121,930,855,993,026,633,089,894,252,079,055,578,376,222,392,
526,510,327,601,545,177,140,837,428,866,063,796,056,157,216,233,744,988,205,
623,800,219,683,199,799,938,352,455,028,333,447,693,416,353,608,912,274,547,
492,720,704,891,152,210,699,997,438,518,695,053,610,558,652,264,849,231,825,
908,481,430,413,129,854,747,409,701,469,794,241,852,829,085,590,807,547,048,
162,678,217,284,017,258,288,208,249,311,877,436,306,520,124,844,558,313,325,
595,673,627,606,716,284,600,278,598,574,354,721,245,981,010,618,933,327,191,
129,389,103,959,089,448,183,254,563,083,802,951,242,384,731,598,122,387,164,
845,927,560,560,973,517,252,960,285,946,147,835,787,774,092,475,879,489,579,
590,433,776,840,369,327,348,262,996,075,592,525,577,594,751,296,686,301,802,
085,616,365,034,717,369,810,856,369,576,586,745,796,026,310,603,041,110,777,
860,964,350,665,654,115,274,566,466,215,966,243,271,215,265,561,887,261,327,
621,725,950,439,165,729,902,731,686,104,868,720,408,054,876,449,118,582,594,
324,826,985,381,474,611,325,843,932,484,767,958,834,673,636,158,845,198,680,
490,744,177,243,158,904,854,230,379,093,396,039,890,708,570,291,833,949,797,
444,224,008,795,764,070,503,074,265,999,056,991,821,302,314,010,535,928,037,
999,868,455,703,923,897,176,088,024,274,276,595,560,401,129,913,197,691,136,
386,946,433,695,712,287,682,619,996,295,209,221,016,499,529,715,631,607,539,
229,354,166,431,825,072,425,768,312,438,317,045,924,483,047,278,034,014,531,
027,199,416,258,856,991,746,494,261,308,357,559,574,984,488,824,653,974,755,
611,857,266,136,262,340,376,449,301,948,504,775,609,136,060,621,917,668,350,
850,954,651,533,220,781,087,893,616,595,452,256,826,885,743,521,664,363,807,
541,207,816,653,100,103,124,254,099,793,231,251,328,061,652,984,347,313,255,
333,392,460,774,324,805,486,848,112,609,722,507,608,894,492,186,895,534,255,
008,059,588,743,349,104,183,416,377,029,487,903,484,104,743,417,789,780,293,
130,476,337,591,948,649,836,611,763,182,027,177,691,039,707,451,041,326,505,
888,819,682,731,336,487,650,603,678,813,154,884,311,774,934,646,109,002,311,
840,019,019,014,886,520,373,205,713,373,740,769,871,758,509,201,941,031,510,
328,255,652,627,814,131,694,558,911,535,967,137,035,219,357,530,770,062,331,
958,061,358,388,050,859,257,112,625,010,500,570,856,540,621,078,844,635,619,
298,905,818,884,206,652,076,846,575,673,878,766,240,856,997,762,719,836,406,
071,244,658,865,917,709,607,788,513,734,808,481,127,727,458,915,008,133,121,
887,903,047,103,649,929,370,650,874,567,405,971,735,552,294,658,734,774,234,
933,013,989,287,710,044,942,428,029,103,753,734,206,966,056,743,764,637,620,
943,773,486,096,510,266,703,682,517,137,613,244,165,170,270,591,362,648,584,
606,945,043,327,890,063,835,387,487,872,720,996,934,109,587,722,553,271,143,
530,515,981,566,777,056,672,760,820,567,921,089,933,621,336,862,059,083,063,
625,782,343,523,160,169,765,420,027,969,324,880,449,736,114,038,342,421,972,
462,279,274,113,719,503,461,243,814,460,901,284,886,102,740,822,912,752,559,
728,542,478,246,955,725,645,802,960,120,185,732,852,687,302,641,608,553,823,
914,625,739,957,778,334,182,737,184,467,129,734,391,947,718,332,208,403,906,
104,752,796,489,759,239,625,010,226,328,131,686,152,293,585,312,427,122,163,
684,049,292,801,446,224,426,469,862,740,154,192,635,622,204,242,736,869,194,
358,894,449,088,920,525,225,135,376,018,201,268,026,297,792,534,481,695,428,
334,937,818,324,934,902,270,566,437,802,849,331,789,497,846,351,347,175,277,
269,999,337,151,818,429,593,522,560,222,004,894,540,933,055,230,830,047,314,
400,582,853,133,777,659,194,964,291,645,796,508,489,104,677,814,444,373,210,
030,524,097,800,768,337,134,853,640,050,611,048,672,440,138,140,363,566,031,
198,171,213,365,156,248,390,315,200,672,151,911,024,546,209,571,821,485,861,
900,335,585,500,667,084,306,524,181,426,090,050,749,693,557,689,682,244,310,
427,263,866,658,513,741,995,974,344,636,656,201,992,842,603,252,987,255,521,
057,818,585,877,197,707,825,280,572,584,649,362,746,227,534,684,854,852,939,
887,048,522,107,359,350,407,834,558,267,225,698,096,608,057,029,049,810,145,
401,409,942,007,761,813,086,950,967,299,693,817,087,033,486,452,165,229,939,
443,417,285,885,345,296,285,155,847,488,992,542,921,916,940,299,013,310,135,
602,195,543,343,139,424,532,020,851,887,639,989,540,043,983,249,358,244,391,
792,504,192,569,969,995,435,411,560,919,144,569,977,913,734,996,733,106,540,
200,387,412,423,067,900,141,014,495,509,455,289,817,284,245,335,529,018,832,
228,652,229,335,553,511,627,673,474,957,599,614,127,761,371,946,496,983,467,
308,710,584,203,805,458,840,555,561,824,617,026,460,249,085,968,307,179,507,
217,750,107,459,868,299,628,911,645,908,951,372,557,175,737,313,598,877,694,
254,243,306,987,097,447,186,902,046,573,775,335,107,628,803,753,478,779,824,
251,067,170,618,452,763,854,390,902,299,173,315,772,587,239,235,187,576,318,
543,122,136,449,300,178,291,544,859,675,373,732,743,718,382,547,174,276,070,
261,131,971,718,229,384,834,156,173,588,901,900,776,266,854,374,608,079,112,
568,071,007,571,682,219,648,747,501,445,898,365,756,584,460,209,798,412,903,
089,875,466,726,554,191,689,448,572,759,391,775,393,021,722,089,714,874,876,
806,929,419,671,684,229,531,291,583,879,462,488,797,090,610,130,300,558,512,
183,264,399,469,462,360,974,282,199,713,186,164,940,906,900,606,763,317,450,
565,805,619,343,034,613,193,433,884,836,899,528,918,415,667,679,239,636,364,
176,545,366,449,896,324,151,075,970,311,131,062,066,686,161,382,550,734,597,
007,504,041,798,235,613,714,438,388,778,167,067,741,383,056,951,753,885,110,
636,915,674,868,340,446,198,584,291,724,799,191,927,596,711,931,643,913,564,
309,835,434,051,304,606,323,061,190,335,402,726,288,066,829,718,674,860,387,
252,490,904,027,885,713,739,734,615,432,254,741,499,925,980,717,046,936,836,
572,745,173,121,904,180,339,699,139,774,910,027,870,779,047,755,050,647,272,
753,349,646,057,235,705,563,797,285,059,174,791,278,236,818,284,107,569,902,
172,018,097,023,387,022,194,962,494,072,430,301,931,680,824,516,839,631,827,
166,636,542,497,958,662,556,069,734,297,433,273,602,126,136,792,082,458,360,
030,652,006,066,677,178,157,327,549,750,234,314,426,965,498,535,158,197,637,
049,062,834,760,293,094,784,082,209,604,268,491,093,131,465,433,235,559,472,
508,863,709,870,538,177,574,544,914,580,075,733,080,783,689,660,976,651,810,
142,733,005,179,204,283,080,506,169,350,627,010,850,022,157,639,012,701,715,
369,347,065,326,287,391,313,303,918,673,393,353,991,149,453,069,538,120,200,
235,293,414,685,649,481,411,351,140,987,292,656,918,297,598,229,296,219,364,
078,691,100,477,618,157,646,632,845,985,157,228,803,814,733,024,059,515,437,
754,799,832,241,258,069,513,292,599,565,264,105,609,659,491,133,384,964,190,
956,530,985,348,805,557,849,273,973,807,359,405,021,785,482,846,551,264,202,
827,378,040,719,172,931,328,151,174,838,884,435,018,711,174,545,758,243,213,
631,407,502,236,578,989,791,979,017,119,015,414,072,047,155,986,696,179,469,
119,814,261,614,533,610,492,757,077,700,522,158,243,730,490,881,327,263,165,
468,911,336,107,087,350,200,078,291,874,249,684,926,580,739,747,632,238,867,
110,805,281,834,482,769,192,009,827,784,519,119,759,802,896,386,269,719,359,
014,264,785,293,460,727,921,594,340,252,735,031,184,738,753,285,995,252,229,
314,729,586,891,293,769,020,490,408,494,002,156,910,839,081,787,949,538,792,
508,614,770,826,942,592,002,736,267,230,010,966,811,162,831,748,574,959,168,
516,987,699,962,191,910,191,117,076,477,601,119,876,016,577,420,592,145,962,
484,284,063,211,250,872,539,859,516,974,832,385,691,401,157,082,351,078,917,
068,476,082,872,232,436,637,785,768,398,548,370,135,259,553,123,082,321,460,
541,122,263,632,943,763,767,818,888,257,741,205,467,895,104,949,644,277,669,
186,877,080,696,753,672,099,724,591,193,656,617,088,156,683,515,362,083,834,
797,891,299,081,538,530,190,232,990,123,906,518,571,193,840,808,719,595,798,
159,854,338,875,642,892,791,370,660,740,187,446,308,668,203,002,573,521,441,
049,244,605,624,036,358,240,762,252,364,493,729,410,468,914,879,541,441,998,
249,163,589,607,958,966,570,367,561,752,914,510,442,627,633,006,619,284,681,
893,288,431,389,944,766,756,616,331,681,387,620,306,885,405,057,286,751,067,
932,973,676,609,877,352,579,742,171,705,245,798,902,507,621,999,174,047,671,
832,379,577,670,660,651,051,834,502,702,297,508,345,594,600,844,191,827,515,
444,625,653,176,270,272,862,898,319,684,703,566,642,123,860,312,606,688,979,
148,878,813,928,509,089,235,892,338,244,605,844,278,104,191,414,717,040,506,
395,603,067,963,690,037,489,601,102,563,936,711,566,068,925,928,936,514,491,
008,340,650,265,500,681,276,715,317,335,576,741,991,511,168,494,794,792,534,
681,751,340,959,761,072,496,411,589,346,986,731,663,939,075,144,183,759,794,
639,112,995,662,270,269,806,375,117,870,471,384,157,996,796,937,332,094,176,
580,209,746,752,690,164,812,990,204,139,023,870,953,967,785,863,331,147,220,
237,633,466,233,648,992,443,731,799,699,181,466,151,800,822,837,841,314,892,
248,310,783,636,014,918,574,360,429,826,134,631,685,550,620,267,763,984,002,
324,560,079,763,120,613,387,564,411,383,929,583,089,118,929,354,907,516,770,
776,233,923,687,960,775,051,052,520,335,552,711,174,860,334,755,134,999,370,
532,097,503,533,434,624,947,807,609,891,254,205,928,831,552,628,914,955,553,
171,155,244,318,250,189,234,390,927,124,806,945,284,709,943,296,922,668,908,
679,430,382,227,206,093,123,063,940,311,468,472,997,079,959,771,936,076,465,
460,113,163,267,117,758,353,630,822,245,753,023,045,417,279,911,970,707,276,
393,523,583,374,306,318,782,949,525,511,538,056,621,764,957,902,301,629,299,
265,410,453,048,812,371,386,527,960,729,101,629,835,486,336,025,051,757,458,
496,888,184,153,470,135,759,078,660,661,081,551,929,927,666,719,852,239,310,
371,781,536,523,533,198,029,106,850,034,395,853,654,588,425,606,007,497,297,
244,935,744,350,849,364,189,161,956,237,527,432,363,001,467,325,507,113,265,
211,871,517,375,685,726,330,499,996,224,739,001,521,348,535,068,253,162,446,
146,461,934,030,891,852,330,856,075,939,324,078,114,702,422,521,247,247,716,
048,096,998,381,835,902,335,935,186,725,069,800,442,963,813,181,275,291,213,
171,338,493,346,901,571,222,688,315,138,045,571,084,852,847,351,894,240,016,
382,807,901,046,793,061,415,067,492,494,768,849,472,405,996,140,397,469,163,
496,613,308,671,783,363,919,783,406,410,575,473,275,333,051,833,545,998,168,
007,579,231,885,582,337,145,343,860,941,545,900,108,379,121,844,459,093,698,
495,204,413,203,295,741,774,224,269,388,092,044,798,576,390,749,864,177,922,
278,232,816,883,088,875,786,334,168,169,231,037,331,633,257,503,797,235,696,
119,721,277,528,563,900,612,933,537,589,750,075,902,179,125,109,197,297,132,
395,390,880,815,474,637,431,152,174,748,377,120,389,894,782,343,248,205,131,
957,886,839,291,546,371,939,475,777,683,458,136,575,675,851,365,411,032,463,
159,941,428,574,797,838,425,333,304,146,198,998,656,108,868,654,021,510,310,
677,692,498,306,793,134,319,673,176,844,473,323,707,030,241,026,279,246,601,
144,337,434,750,262,531,620,880,248,081,531,344,708,534,539,986,393,769,810,
504,457,594,211,432,472,922,066,241,218,639,901,847,491,409,592,938,671,190,
411,023,440,078,410,802,253,772,283,413,510,800,344,829,300,564,555,736,344,
591,859,516,920,081,051,274,112,287,510,385,721,358,961,400,847,627,853,243,
100,455,823,264,195,667,748,962,746,494,678,882,861,170,091,330,568,381,000,
521,143,213,113,861,386,266,931,346,291,231,023,634,276,810,716,256,250,245,
108,039,929,903,653,260,462,231,257,390,116,867,038,827,970,759,078,179,975,
746,946,768,227,226,110,870,374,096,468,794,361,757,092,122,722,600,747,887,
884,522,342,879,177,390,790,276,170,419,850,135,444,697,516,245,781,107,450,
823,692,787,249,974,299,679,402,177,680,001,193,290,335,828,579,339,107,035,
749,468,087,676,323,742,569,689,552,521,042,255,372,210,799,567,931,503,085,
221,133,094,111,553,627,518,872,385,530,926,078,518,697,899,087,889,075,467,
174,151,729,477,604,071,992,742,057,713,881,983,005,800,600,437,337,869,521,
960,804,595,798,762,350,981,642,504,579,993,727,075,358,456,977,294,140,774,
956,993,307,743,598,924,336,867,511,538,811,336,378,358,071,536,591,125,626,
257,775,201,576,536,384,394,666,524,672,421,222,111,322,182,124,094,427,901,
243,716,411,847,491,273,289,075,500,316,503,487,099,573,193,297,661,880,744,
535,864,326,084,399,822,792,579,854,662,897,644,553,528,770,960,984,809,057,
876,558,652,096,321,064,697,900,623,173,290,670,821,079,617,694,089,201,599,
786,659,261,151,161,795,612,179,268,322,579,568,485,912,118,253,423,509,420,
766,393,372,181,702,344,402,534,224,800,764,743,038,805,394,186,657,008,435,
247,293,979,295,509,945,584,978,164,685,786,919,243,248,452,530,427,966,575,
636,375,193,265,271,549,592,852,310,216,196,658,661,585,929,520,489,220,605,
010,155,905,045,770,827,419,682,699,881,117,701,874,117,349,488,500,404,437,
461,939,305,688,057,426,907,753,055,697,103,721,063,693,768,731,867,026,596,
955,947,975,258,523,343,633,506,732,769,762,278,381,675,321,303,330,621,221,
135,080,806,308,885,220,519,202,656,022,001,660,743,526,554,020,260,385,662,
321,495,230,453,307,348,346,598,576,402,596,873,099,777,397,457,843,273,086,
177,440,879,268,603,276,665,920,546,626,811,474,432,141,432,790,213,822,089,
203,556,911,617,487,728,091,183,331,253,342,304,410,506,475,011,642,951,202,
667,909,706,985,224,174,766,339,900,928,946,631,335,304,354,832,531,272,749,
194,069,524,995,630,977,588,691,012,607,457,506,982,538,546,333,366,629,159,
512,006,819,448,622,179,377,800,293,857,049,447,097,906,816,604,045,032,219,
230,997,596,030,055,505,013,794,599,119,940,156,491,533,950,331,266,273,719,
483,074,948,043,932,584,853,955,213,731,934,159,212,376,474,466,407,700,251,
041,480,106,040,189,342,051,616,780,712,459,968,839,031,474,642,035,195,245,
169,756,541,081,790,714,239,267,495,865,364,899,228,515,728,054,669,963,198,
413,489,938,585,037,256,962,476,690,024,607,016,103,116,792,957,660,873,368,
005,965,091,959,207,650,530,892,038,749,557,568,302,117,832,784,780,141,687,
364,053,879,064,665,350,312,851,364,705,655,503,309,654,716,280,597,576,322,
201,927,426,897,484,140,655,910,456,184,327,406,098,831,703,356,447,330,078,
437,483,099,043,487,688,907,077,434,307,996,079,978,613,178,042,715,654,517,
467,578,112,920,102,844,257,788,193,114,312,198,906,911,840,997,405,359,290,
754,261,324,244,990,782,055,492,196,401,669,992,415,649,636,574,643,798,958,
790,089,269,142,674,270,620,057,011,759,628,985,894,688,060,337,400,090,184,
953,267,943,414,698,058,592,133,143,411,800,256,231,470,125,998,718,357,530,
106,917,918,818,044,571,782,414,177,104,851,357,239,937,705,136,910,779,229,
085,241,785,007,593,857,333,498,152,640,462,804,021,148,773,389,528,546,642,
597,313,754,824,450,115,924,672,163,820,768,095,773,910,077,824,347,638,840,
495,235,418,633,791,957,150,590,284,384,256,914,116,970,497,707,969,639,793,
658,106,620,579,559,551,849,889,135,959,831,973,325,624,169,362,157,670,906,
965,163,954,014,745,979,805,482,281,181,377,335,901,905,827,328,180,568,632,
151,071,644,758,931,308,280,415,391,161,861,399,359,334,713,145,495,420,884,
546,290,951,084,687,727,340,719,502,591,163,978,377,088,010,663,823,716,481,
142,734,214,970,389,625,723,665,942,233,638,195,294,042,862,229,748,081,166,
469,226,058,543,417,148,514,291,991,318,153,895,660,554,460,538,752,473,100,
285,518,203,576,343,725,303,158,187,905,516,007,614,691,002,984,570,921,939,
664,520,893,942,926,320,580,758,992,005,867,843,977,026,935,304,755,911,214,
602,649,714,763,082,782,129,334,063,461,798,639,860,008,134,382,026,702,413,
171,661,448,594,527,241,052,377,749,500,302,882,811,965,480,438,678,607,212,
861,766,343,921,512,870,611,130,750,767,807,184,818,679,313,376,936,454,317,
835,173,015,189,803,405,375,674,046,420,650,855,446,828,220,193,346,714,859,
685,306,355,847,278,207,971,585,076,875,718,975,153,962,364,077,183,122,832,
916,134,533,010,291,597,745,129,810,354,293,171,446,994,371,174,521,452,220,
044,163,928,523,618,578,411,852,480,287,763,923,390,649,036,970,347,183,147,
266,502,442,641,092,017,074,850,080,102,577,004,920,240,695,948,423,499,230,
653,653,199,991,814,357,366,482,996,802,163,396,138,176,269,352,094,602,635,
762,084,085,611,762,051,120,475,498,940,699,103,828,790,711,838,107,235,253,
112,389,111,862,326,994,853,317,370,582,707,965,470,460,865,657,090,370,457,
968,999,753,116,511,722,834,606,720,440,905,885,145,887,241,486,236,088,518,
755,180,461,193,088,856,100,840,334,256,895,592,924,936,242,785,672,691,762,
704,202,510,742,183,055,710,527,122,687,817,974,837,374,523,754,992,889,716,
197,634,365,576,427,144,178,114,011,948,280,010,493,794,918,545,750,948,981,
868,695,761,081,325,878,664,838,776,768,718,499,673,886,477,365,665,031,057,
096,702,401,702,930,072,944,415,077,423,579,057,815,990,274,189,437,536,375,
241,836,381,679,688,289,483,827,463,867,928,800,005,457,923,970,392,399,283,
763,376,428,737,844,094,700,233,507,156,899,832,625,196,756,504,970,657,576,
633,198,419,117,294,631,135,199,832,109,820,623,358,134,694,922,828,359,103,
984,434,849,503,484,330,767,930,377,111,740,580,624,902,521,873,591,643,437,
519,401,456,097,599,205,003,042,636,332,420,796,478,391,162,225,537,033,916,
939,184,531,889,218,888,249,519,772,744,737,843,809,459,770,417,654,320,288,
682,725,779,401,365,462,741,612,703,412,054,421,836,301,459,484,596,917,003,
228,529,910,862,733,807,461,951,374,991,759,248,390,043,770,086,078,712,722,
525,855,519,394,012,949,271,302,604,524,467,407,419,310,357,219,568,591,962,
022,996,576,641,954,364,707,948,596,936,756,281,347,348,509,109,777,026,294,
326,989,694,334,209,048,539,811,243,975,733,488,806,627,872,834,235,686,049,
289,051,023,851,385,146,119,133,958,955,503,025,974,006,468,674,784,185,149,
754,187,802,811,504,781,147,846,926,117,773,557,331,710,058,997,251,694,242,
391,106,258,149,119,149,180,575,173,235,861,753,674,156,347,176,375,319,769,
922,046,248,863,877,993,076,613,220,755,766,387,775,367,388,676,157,134,933,
898,696,694,060,017,316,882,715,019,321,172,935,444,657,308,250,376,757,887,
369,782,479,130,899,321,120,615,241,168,727,821,871,199,732,439,053,239,749,
566,991,057,163,428,593,597,915,269,144,740,699,931,781,592,685,076,161,130,
313,756,846,520,529,448,965,406,238,387,759,823,609,512,915,248,652,476,961,
524,977,305,168,640,960,603,228,184,900,570,888,915,891,826,874,682,715,799,
316,395,511,352,280,253,798,909,191,384,354,483,650,671,218,557,058,937,762,
958,395,362,894,740,679,586,763,717,941,084,482,628,109,594,252,999,152,260,
706,443,938,621,627,907,917,961,536,027,356,930,516,466,131,537,102,908,070,
148,577,052,800,794,761,400,777,723,570,426,109,411,947,009,007,713,110,364,
930,110,607,271,099,832,229,878,865,090,925,221,526,658,627,167,990,973,476,
557,520,559,864,963,515,437,457,165,054,526,509,488,589,073,675,485,343,247,
484,445,335,998,326,516,500,965,031,946,399,846,131,452,384,120,865,546,487,
893,756,275,803,763,151,303,384,989,457,153,806,020,889,096,352,541,108,368,
942,621,794,274,174,546,325,293,270,708,305,575,772,683,738,416,897,288,449,
489,675,024,569,150,139,207,252,549,817,576,506,950,157,657,056,966,335,382,
175,052,364,730,692,207,433,752,004,679,761,915,336,904,919,279,412,625,222,
310,299,468,481,260,534,018,403,106,568,918,737,765,413,524,898,471,739,612,
919,794,159,483,977,154,293,571,531,946,846,005,719,716,591,685,671,369,521,
827,945,020,243,014,037,344,356,757,304,771,754,493,115,833,943,407,107,572,
848,282,152,161,298,343,747,980,125,056,263,228,270,395,548,563,107,513,529,
693,687,628,226,175,966,671,703,347,978,566,976,340,630,913,423,780,300,115,
246,597,556,170,981,830,483,442,685,783,550,005,050,510,278,335,114,938,298,
761,457,149,622,596,567,191,529,436,550,284,962,495,842,595,488,697,907,519,
915,432,611,805,510,437,557,793,862,573,683,860,332,780,667,763,139,256,452,
521,547,224,618,057,711,250,779,802,779,351,244,591,272,513,035,095,731,955,
456,135,753,712,716,121,277,234,803,880,222,959,528,996,357,658,818,527,576,
857,650,933,658,371,089,869,798,790,580,298,760,932,722,311,820,981,515,509,
393,765,801,662,335,039,724,947,814,077,748,462,423,000,284,797,127,223,186,
004,812,840,645,706,258,716,280,175,760,971,205,788,853,880,622,927,719,907,
164,215,804,086,114,656,780,997,512,215,055,082,815,383,215,038,147,674,401,
052,580,231,435,492,329,212,965,945,123,668,030,946,401,129,373,999,658,691,
584,945,654,336,190,501,116,626,695,720,399,049,703,327,479,857,187,626,089,
745,132,522,355,888,978,142,069,450,261,598,735,644,817,627,769,474,955,567,
634,437,898,897,982,104,806,062,324,879,951,432,718,620,935,366,653,952,845,
126,619,799,472,605,969,981,831,888,322,438,316,711,141,400,532,848,869,355,
150,185,519,489,476,573,546,952,637,345,074,262,878,304,310,907,796,338,271,
682,384,286,846,740,854,936,944,587,118,742,869,453,678,999,749,120,675,767,
341,455,505,833,988,971,094,810,502,849,997,705,838,060,424,799,449,572,045,
067,043,559,373,365,097,568,364,592,278,484,870,368,894,729,848,189,030,770,
013,130,766,884,482,085,017,821,594,472,937,914,610,908,679,867,634,116,155,
777,160,495,282,068,505,671,099,199,359,118,413,579,583,289,821,467,472,182,
668,648,875,867,081,687,373,396,547,854,362,324,068,443,560,386,551,903,406,
053,481,477,542,852,459,728,217,555,192,811,547,327,980,240,100,575,927,483,
541,095,788,482,373,054,749,037,617,406,004,336,124,878,033,629,167,044,901,
735,691,925,898,189,423,720,370,901,661,659,979,318,899,123,384,048,528,744,
256,938,344,031,269,438,129,286,406,844,198,786,575,491,280,766,672,719,068,
598,868,845,727,217,310,545,154,960,320,821,412,677,920,701,195,830,124,758,
305,770,686,028,698,190,977,251,102,366,129,610,861,493,554,230,523,293,211,
110,799,056,047,291,069,576,149,486,806,508,374,362,351,702,917,140,451,804,
156,704,038,550,642,342,631,316,942,924,319,886,097,376,899,576,778,739,982,
199,574,793,654,808,435,932,208,163,952,551,076,537,815,132,051,627,408,415,
862,518,783,226,506,660,357,072,005,954,981,648,022,361,021,925,546,934,152,
359,266,256,094,854,211,476,048,927,812,476,283,350,036,781,127,182,106,021,
737,788,185,984,059,718,113,374,808,885,942,961,992,200,258,784,948,852,045,
432,137,002,354,944,857,711,538,868,298,684,649,481,483,041,662,567,799,210,
004,707,903,357,266,730,795,708,912,322,607,632,644,413,768,154,778,210,986,
436,176,114,247,240,189,679,238,226,141,493,048,345,456,878,105,870,827,559,
428,570,162,238,006,371,063,133,106,684,155,251,662,486,232,618,198,656,085,
112,428,513,043,207,462,356,522,716,509,141,125,564,390,156,017,940,113,809,
779,581,882,990,536,742,640,413,767,476,097,045,163,097,020,215,557,850,978,
752,654,925,708,059,449,983,713,876,236,381,102,148,161,536,965,228,199,322,
980,343,503,864,423,790,058,808,807,609,172,751,045,026,555,114,609,910,523,
652,476,918,570,809,126,727,574,353,942,980,101,950,530,343,711,512,323,900,
825,681,164,338,366,847,900,643,830,355,969,010,456,514,930,068,500,452,765,
871,453,766,614,529,585,285,692,306,738,239,866,971,853,545,875,715,478,917,
041,698,397,256,588,429,157,018,749,675,418,649,676,299,447,771,346,514,437,
616,724,907,095,613,888,688,921,658,082,459,421,927,723,260,188,560,664,145,
989,927,869,415,855,504,940,505,507,835,541,341,663,802,681,399,875,573,142,
513,821,630,314,218,925,216,709,000,001,709,479,605,549,356,818,238,740,580,
286,838,191,791,692,003,950,182,939,556,026,242,470,451,185,903,714,786,137,
670,584,099,080,491,985,808,990,477,600,244,934,855,001,597,888,450,979,734,
064,189,740,067,453,991,677,140,079,772,045,806,650,900,793,587,938,238,556,
064,556,794,039,559,666,871,283,109,781,482,429,363,965,361,157,395,914,298,
705,213,322,203,588,973,457,369,278,221,835,261,114,320,352,384,868,034,816,
463,075,941,226,752,603,851,500,501,078,643,472,287,676,549,398,128,784,595,
472,782,818,759,872,035,453,384,171,954,022,560,596,076,540,357,993,207,412,
554,040,569,532,922,188,534,145,810,260,281,912,221,380,997,312,967,567,148,
294,832,531,822,298,196,731,207,707,502,361,015,901,770,479,162,178,131,722,
886,019,218,756,275,005,391,045,782,300,164,151,762,392,950,064,361,493,164,
785,782,258,060,023,875,108,462,621,134,524,677,111,330,107,276,041,111,662,
815,117,234,514,786,903,456,402,329,418,483,669,903,718,830,173,574,298,562,
827,812,402,313,680,838,202,551,459,233,384,759,292,181,689,613,591,640,993,
602,138,817,950,681,114,525,827,399,358,992,966,753,162,352,350,437,034,126,
569,254,045,577,057,329,314,220,483,039,491,539,293,013,485,049,746,133,996,
826,848,912,466,305,927,769,067,068,982,550,566,618,885,953,610,083,434,627,
008,973,301,008,693,725,913,981,910,172,408,123,561,667,218,351,137,661,885,
133,859,057,857,557,662,996,585,496,367,613,000,047,539,997,507,663,070,139,
870,044,919,149,607,301,752,870,501,384,110,043,500,857,385,025,580,093,357,
008,132,925,610,353,655,842,591,989,049,081,508,649,887,003,737,088,639,545,
839,877,079,309,063,443,773,324,296,006,558,396,577,238,778,697,243,417,632,
756,036,811,075,718,007,183,329,409,394,089,846,620,483,256,893,217,031,422,
106,514,393,694,997,406,816,184,914,631,814,536,752,150,743,939,441,091,158,
559,505,428,207,807,603,609,972,446,527,174,005,781,248,064,535,048,626,095,
816,234,020,981,975,024,910,215,042,965,867,632,211,997,761,595,283,332,123,
408,150,177,084,687,472,167,870,368,379,258,602,248,217,076,885,910,738,575,
628,906,066,221,785,923,378,474,816,609,161,930,871,098,841,120,998,952,429,
808,372,913,148,640,529,841,946,097,493,790,746,497,632,628,525,976,913,186,
714,535,750,262,308,584,314,778,881,920,209,026,918,075,016,964,788,436,462,
612,775,512,973,360,839,872,188,894,717,349,662,750,045,893,903,630,374,398,
913,003,010,658,389,025,281,990,004,554,869,625,000,851,173,931,469,333,337,
602,570,016,782,049,729,347,233,581,146,193,047,790,147,572,470,712,440,290,
743,781,035,799,112,854,523,389,648,374,522,343,018,866,172,165,304,659,094,
712,022,749,115,682,659,896,430,096,025,380,314,926,172,572,806,372,271,169,
656,744,757,169,044,807,066,492,985,306,387,747,180,496,007,479,950,662,251,
197,155,969,347,647,630,809,101,522,753,885,112,545,363,760,676,218,585,298,
087,809,835,636,970,813,457,717,880,513,441,569,253,713,625,544,030,983,832,
141,817,716,708,487,754,099,766,080,745,587,835,000,003,412,678,168,457,650,
338,181,931,425,198,459,362,791,940,158,053,420,981,281,842,372,167,328,611,
985,353,335,948,400,975,298,480,728,660,289,049,613,288,384,573,686,229,218,
257,940,501,247,366,875,748,809,098,915,039,194,964,686,566,272,458,599,556,
511,305,297,761,893,733,975,014,061,695,936,223,534,887,886,916,223,294,467,
316,614,667,622,421,638,626,257,283,308,006,510,437,313,304,953,585,406,605,
624,181,323,734,112,600,499,393,352,181,696,464,723,931,648,555,838,119,916,
486,700,344,261,094,487,792,078,092,195,861,479,110,797,815,518,081,610,332,
232,712,102,276,479,153,159,832,766,761,095,089,079,962,350,120,166,464,172,
733,939,930,553,071,332,091,408,680,595,106,141,121,821,107,668,850,351,054,
609,483,497,022,887,429,284,399,602,521,473,726,936,409,859,392,630,302,587,
711,368,428,459,479,271,435,881,156,090,734,566,994,787,113,214,735,074,801,
244,788,724,795,559,208,414,677,029,002,183,869,945,764,442,032,647,824,517,
408,544,270,327,695,252,172,524,913,948,268,048,984,141,988,161,083,466,004,
303,076,463,122,936,429,825,083,355,638,772,270,163,594,934,252,284,903,529,
417,361,491,059,216,350,097,379,498,070,873,542,492,733,467,861,528,469,772,
147,810,182,777,686,766,227,593,562,477,966,640,772,560,078,496,775,266,412,
708,013,112,204,893,478,499,749,838,538,783,345,040,616,323,835,783,506,834,
945,828,874,954,566,265,491,282,716,672,760,024,058,869,637,518,038,789,571,
203,128,448,528,784,102,589,466,157,922,712,403,610,455,439,344,090,364,245,
640,188,936,046,966,556,904,258,897,204,389,722,855,371,883,318,353,601,361,
990,333,923,181,681,942,018,967,231,449,161,747,897,331,172,036,204,189,116,
811,558,111,482,702,959,944,979,268,016,298,316,962,992,428,880,829,994,933,
939,636,395,821,059,533,190,330,030,857,090,334,561,570,178,719,598,932,669,
633,203,276,605,819,027,783,685,920,311,997,741,986,932,042,434,937,201,744,
606,365,892,779,118,099,256,686,359,066,460,801,098,229,364,514,626,411,377,
489,684,691,355,663,089,140,187,481,152,865,518,412,625,107,904,214,403,086,
641,088,205,611,445,120,416,502,912,628,638,637,458,251,995,282,194,424,461,
536,717,638,296,578,073,985,767,791,007,877,839,742,897,130,704,679,707,926,
183,886,500,366,530,897,395,421,211,634,137,471,556,978,669,842,931,825,506,
923,399,084,193,201,669,327,670,500,424,438,885,507,880,399,243,365,428,248,
602,128,675,552,815,962,952,334,287,720,378,348,070,098,694,083,676,289,933,
705,960,522,593,497,885,940,883,442,688,411,736,335,314,282,495,909,511,321,
875,552,853,285,105,609,802,229,968,126,202,570,865,025,705,331,890,897,023,
746,032,512,385,903,551,188,053,500,600,382,265,249,187,303,954,651,295,649,
631,552,638,586,088,725,788,610,469,929,102,367,236,801,387,199,847,178,667,
522,993,674,342,101,968,409,231,451,293,711,727,578,833,177,967,481,860,758,
582,482,059,621,747,380,870,578,527,142,012,171,784,295,137,730,110,749,153,
571,957,266,675,916,608,405,718,406,477,853,904,323,371,896,284,068,622,137,
828,683,685,842,328,613,744,356,038,091,977,509,636,504,376,112,545,163,495,
661,418,383,564,051,194,877,496,863,549,604,531,553,175,808,584,127,500,140,
293,408,571,106,920,135,038,421,331,253,309,328,721,533,828,944,510,776,827,
396,173,869,507,031,362,162,727,763,509,595,001,826,613,990,745,718,570,304,
046,135,061,279,142,457,837,477,675,497,509,067,328,858,580,599,218,262,190,
291,518,112,887,399,691,262,484,421,828,566,645,558,853,677,347,308,185,383,
381,280,508,712,458,029,209,310,004,257,578,940,904,941,834,047,903,617,366,
207,142,196,365,224,879,291,803,676,664,854,722,896,970,961,013,732,343,173,
561,709,467,175,508,442,665,638,716,367,584,950,651,334,705,725,443,045,620,
312,739,153,741,390,211,227,826,194,148,869,424,317,648,484,632,438,041,676,
361,778,105,187,572,931,509,257,472,283,134,521,683,967,923,728,190,556,894,
667,180,424,363,580,326,975,777,543,168,641,735,687,531,257,797,884,240,291,
122,345,240,976,880,409,412,725,047,521,055,079,699,125,179,137,021,518,022,
124,201,154,704,384,279,062,071,931,147,277,514,598,364,279,632,460,305,061,
219,187,879,921,224,466,576,053,014,887,446,998,863,229,799,947,088,488,057,
834,669,125,230,380,191,838,062,562,799,074,861,357,455,919,332,515,577,183,
536,525,585,579,578,534,781,544,168,579,276,960,024,828,589,483,577,476,717,
198,593,346,105,804,245,553,772,623,631,025,190,051,441,984,725,498,072,786,
446,113,856,061,609,024,233,642,497,277,150,978,497,309,384,162,620,378,354,
532,188,873,813,942,855,194,478,107,956,708,645,850,833,767,950,150,131,603,
728,571,134,554,156,707,877,767,150,433,056,907,650,532,281,527,395,843,191,
481,498,454,297,579,322,953,056,250,880,424,096,026,115,051,920,848,409,534,
939,164,085,668,126,087,051,846,079,716,630,273,109,140,370,806,247,542,723,
427,993,851,916,738,118,046,060,402,419,199,678,191,765,949,753,930,334,905,
662,529,149,819,571,565,657,020,483,192,829,472,670,176,174,961,000,747,880,
074,343,608,451,386,551,155,413,515,373,817,284,329,773,142,477,459,537,284,
400,211,508,509,113,436,571,790,480,683,881,288,772,773,538,989,524,949,689,
667,335,342,284,098,108,231,533,856,157,986,727,949,326,470,554,842,109,305,
517,760,816,712,268,291,327,432,932,474,364,360,359,164,961,805,882,339,542,
145,495,371,417,295,665,674,617,442,334,106,836,060,214,700,826,013,067,866,
311,268,147,464,352,314,522,070,693,134,201,352,598,138,865,183,248,534,582,
147,431,954,602,109,366,986,735,123,067,251,800,633,336,418,565,330,467,477,
403,791,656,603,480,918,156,703,859,726,547,953,186,733,789,318,736,261,775,
975,819,121,843,487,018,741,946,166,052,170,073,500,452,543,796,167,521,243,
476,001,350,335,446,549,937,679,846,611,298,821,547,485,586,315,262,805,202,
053,136,162,046,977,049,343,502,527,076,194,910,425,928,196,969,858,283,168,
890,068,314,235,812,629,742,459,025,745,984,747,296,412,728,993,336,994,038,
013,018,247,926,129,495,240,426,767,800,981,636,133,666,588,233,086,089,166,
907,403,357,696,160,645,020,339,015,949,505,275,856,907,102,798,953,592,783,
654,722,049,811,466,524,731,457,838,014,889,942,310,848,383,632,527,700,004,
636,465,438,174,931,799,294,583,348,399,743,117,673,635,501,872,837,642,968,
579,959,453,489,837,990,663,378,630,912,970,017,285,057,907,975,009,668,479,
374,231,410,891,728,197,202,997,871,855,659,973,122,780,368,054,727,686,946,
340,837,566,263,620,449,657,076,305,974,079,304,222,171,701,360,475,447,595,
649,517,346,789,018,162,181,026,433,035,136,649,984,636,861,299,992,343,581,
497,124,929,873,352,378,252,460,762,878,949,648,014,214,194,893,219,253,180,
402,740,397,421,258,877,956,633,519,114,723,009,665,161,683,420,768,696,065,
557,721,837,766,570,098,245,199,650,792,984,154,336,287,737,046,534,182,674,
529,473,054,982,448,946,926,553,321,975,827,163,914,469,484,044,459,603,663,
611,286,990,662,879,848,694,148,658,514,503,109,120,111,969,089,740,270,419,
481,379,573,884,162,125,933,656,007,412,167,887,537,808,726,610,954,780,910,
415,012,913,982,551,462,333,729,452,497,389,491,009,717,619,730,299,005,724,
039,574,903,099,020,677,563,734,097,021,577,780,124,108,529,386,806,813,976,
321,748,537,322,809,419,431,520,189,847,503,695,961,484,525,558,009,988,361,
286,795,856,840,663,547,956,961,480,140,769,184,864,999,938,410,759,018,498,
565,966,031,588,358,991,453,874,050,280,141,774,113,356,971,412,906,189,653,
640,106,258,475,338,745,097,326,311,589,783,960,002,395,219,327,598,110,604,
547,073,649,547,844,420,616,945,360,741,788,970,087,093,276,570,310,335,411,
713,009,607,780,002,967,947,992,105,131,072,369,552,808,960,909,393,802,907,
190,571,677,295,434,144,324,286,345,955,080,285,646,480,696,551,260,966,923,
614,562,028,302,197,505,665,300,514,230,584,975,049,297,496,241,660,146,147,
728,982,589,839,929,318,765,819,590,892,833,670,020,351,550,832,893,760,657,
989,267,692,467,038,139,654,136,245,127,759,827,377,474,879,545,171,032,392,
567,628,947,189,339,445,092,001,862,961,449,160,023,977,152,326,839,834,009,
715,007,783,977,430,148,589,570,553,475,307,220,942,503,019,816,104,692,774,
273,286,125,961,152,723,447,279,876,212,552,226,254,662,845,639,093,355,700,
501,816,776,747,625,453,183,117,804,834,919,003,191,686,912,014,161,022,975,
229,557,791,271,698,727,967,110,158,670,524,295,852,573,282,303,033,699,464,
128,943,689,044,679,545,349,396,863,590,114,834,036,484,237,842,092,416,871,
581,618,874,286,261,310,704,554,688,322,012,914,024,362,438,896,152,243,731,
750,602,976,050,686,102,621,927,173,131,403,481,658,520,703,784,483,071,980,
369,350,806,294,319,171,873,662,191,797,852,545,453,674,786,250,462,263,565,
302,361,904,728,622,028,748,654,959,837,149,028,185,570,323,810,125,941,992,
799,929,893,861,165,596,744,967,844,197,540,607,622,111,429,585,867,353,102,
328,589,149,169,192,812,178,256,064,812,254,235,707,763,427,244,377,260,919,
404,451,006,262,590,454,270,056,773,582,633,880,883,257,679,681,741,299,046,
624,052,796,065,719,387,219,190,047,251,879,195,739,108,727,932,224,860,368,
167,821,373,661,202,597,687,454,873,768,776,463,870,987,381,066,154,268,798,
733,652,588,628,578,871,734,637,871,507,959,960,757,878,564,953,753,915,113,
835,827,329,902,221,521,107,367,631,645,843,477,790,144,609,262,824,289,510,
662,867,706,513,269,436,585,022,543,904,883,238,863,396,638,254,136,029,534,
026,407,790,187,807,276,350,106,249,618,865,091,513,374,738,907,058,284,350,
366,312,721,849,890,860,306,846,703,646,036,197,428,703,952,831,855,304,282,
618,693,106,678,715,008,582,715,706,022,945,467,442,824,681,074,219,026,499,
688,672,566,226,939,049,324,489,351,835,233,515,236,686,617,145,553,593,974,
227,047,200,533,145,445,423,108,811,217,228,208,765,838,077,235,046,770,836,
725,643,304,326,968,585,394,404,315,608,907,349,668,377,116,197,126,375,062,
579,411,702,807,886,562,613,473,427,822,319,291,365,125,099,775,716,914,085,
714,892,079,049,077,981,164,103,665,318,894,927,647,523,951,112,971,909,136,
152,785,272,949,335,513,505,098,501,911,145,194,424,491,945,427,066,038,742,
830,478,594,501,902,097,057,978,687,079,880,684,714,593,048,882,418,551,740,
530,769,487,011,647,314,015,905,188,683,544,305,112,128,083,017,184,450,863,
654,772,818,404,093,290,509,985,627,032,469,368,164,503,224,393,504,799,601,
026,709,047,097,873,998,498,465,778,250,937,221,416,943,024,506,472,085,673,
108,376,753,996,938,594,880,916,427,784,886,531,182,598,543,577,686,736,561,
692,085,830,083,525,406,514,397,159,836,680,514,351,972,835,692,147,040,688,
315,207,333,558,310,041,197,565,122,649,194,093,127,238,681,163,684,868,847,
707,160,366,485,413,577,973,758,425,514,661,572,884,566,347,781,798,247,492,
695,561,633,075,978,121,808,064,222,416,608,428,451,814,096,537,227,593,776,
262,504,757,615,071,752,788,921,634,238,616,517,410,760,509,875,804,193,357,
282,021,043,928,395,932,985,250,814,098,396,460,857,631,727,430,494,400,618,
117,517,563,694,535,877,734,341,236,775,816,872,942,508,335,086,618,991,936,
882,567,093,059,451,505,967,881,710,701,321,365,599,126,462,794,575,811,893,
746,047,575,985,663,954,665,486,440,864,152,007,600,531,357,898,052,228,192,
144,652,622,212,811,122,809,751,040,003,665,202,677,138,738,922,783,784,334,
292,800,996,407,861,213,873,313,721,160,596,220,548,857,625,400,657,829,681,
027,952,889,001,773,778,154,514,551,130,755,598,752,992,556,148,794,318,623,
379,193,116,731,622,437,753,595,883,815,361,675,787,073,348,347,640,214,826,
552,701,309,572,031,536,246,880,170,063,152,302,309,236,151,129,000,378,845,
005,593,119,384,585,371,117,794,372,212,127,791,599,901,779,236,857,912,948,
093,529,894,907,762,184,259,139,471,793,281,455,262,812,072,026,223,900,100,
980,796,652,482,195,372,378,236,673,732,959,212,080,095,320,003,088,615,440,
022,319,983,308,063,243,464,435,342,094,955,375,544,966,430,109,792,573,732,
498,771,032,606,846,649,570,220,843,187,776,972,644,168,083,581,826,693,298,
638,963,248,305,651,312,873,179,363,342,911,314,115,410,222,334,338,010,912,
092,547,448,864,792,379,152,481,045,156,819,277,677,589,106,713,003,920,567,
404,490,495,007,715,851,839,707,729,330,182,163,545,665,273,039,966,829,854,
022,243,635,819,267,990,121,894,002,377,959,110,001,119,908,771,857,909,112,
208,357,869,943,718,888,349,690,325,930,628,719,907,809,772,102,708,136,072,
856,989,595,851,202,582,984,684,419,394,629,252,075,967,585,913,841,175,258,
222,362,145,145,052,168,347,409,274,309,467,221,120,047,640,747,824,567,700,
552,916,379,417,364,655,315,323,366,224,284,450,625,630,352,938,869,529,678,
711,350,438,729,263,577,450,991,423,581,635,421,463,593,076,285,805,955,037,
355,792,447,088,266,537,865,982,878,678,133,589,461,561,512,718,338,390,545,
707,330,140,020,218,108,123,513,819,809,590,101,377,441,824,154,471,800,387,
025,660,855,705,681,968,461,366,195,290,635,816,079,141,521,000,460,391,738,
434,564,052,249,338,327,789,923,775,705,970,404,496,228,236,140,671,733,203,
546,762,068,066,106,638,221,551,424,823,246,968,079,491,926,511,606,199,011,
547,858,409,807,729,299,435,302,029,649,736,601,447,838,061,544,366,953,254,
145,147,162,764,416,253,790,925,633,468,719,023,777,228,759,525,116,743,523,
091,295,432,425,173,733,408,576,075,702,885,286,325,758,751,897,019,565,084,
562,134,975,907,306,588,417,189,916,336,943,123,005,050,481,988,970,936,278,
785,415,316,534,201,468,521,134,580,434,992,904,796,159,840,420,411,236,919,
059,333,188,678,612,479,502,832,053,410,793,186,328,108,054,327,348,736,692,
631,844,497,045,847,736,127,963,441,415,641,067,288,196,417,180,934,175,650,
012,879,171,978,431,837,114,475,129,523,862,893,554,512,247,981,729,998,704,
710,017,946,661,502,334,353,509,805,160,642,312,784,980,955,441,365,643,574,
721,407,397,646,785,909,463,292,710,334,085,439,959,983,122,427,829,048,753,
933,967,633,855,650,627,815,538,706,752,876,883,082,258,458,038,733,646,883,
098,122,778,981,327,984,596,623,092,309,407,949,872,002,396,306,259,663,396,
738,522,650,912,320,533,956,610,905,286,600,340,520,843,796,158,520,374,350,
916,256,836,191,578,854,654,783,270,034,205,620,992,537,265,369,195,844,800,
074,797,386,345,995,566,246,426,995,110,215,946,974,258,795,712,846,779,944,
156,294,519,706,003,529,719,245,606,143,668,693,209,061,394,243,768,186,428,
999,473,382,144,647,699,094,983,355,700,208,210,245,902,868,150,301,446,745,
443,586,884,246,417,111,669,702,446,793,190,414,109,177,128,936,594,960,152,
769,945,988,960,060,045,374,784,832,067,360,740,637,131,579,369,505,242,234,
910,244,619,669,030,343,309,891,074,709,626,738,791,757,439,358,020,309,870,
121,090,242,920,553,341,626,578,484,051,782,251,784,674,519,971,321,478,191,
460,161,423,712,149,817,715,656,546,859,097,659,545,485,754,153,898,751,604,
311,251,823,693,067,736,693,110,999,149,595,631,728,453,790,147,466,635,407,
213,861,058,090,287,599,698,144,284,504,831,971,537,936,599,130,573,958,493,
612,348,726,669,305,113,444,185,714,961,943,441,104,008,512,830,286,692,885,
608,656,560,031,056,927,421,481,346,906,598,387,600,514,138,283,495,321,456,
637,227,771,373,822,881,854,944,628,402,524,759,194,524,349,701,141,887,230,
939,720,532,027,304,697,068,306,678,279,030,973,860,756,907,682,094,196,947,
930,280,093,008,503,861,927,588,449,467,142,706,751,365,733,231,508,271,108,
211,873,989,693,525,297,471,973,460,024,507,680,159,325,062,474,442,310,374,
891,497,967,170,420,271,769,470,628,179,717,193,573,923,667,094,081,184,835,
456,465,194,812,275,415,654,240,531,932,486,671,448,933,051,181,900,586,709,
188,569,973,665,977,029,801,774,305,895,990,317,204,845,661,665,750,385,358,
041,975,327,834,426,565,875,304,309,372,513,274,919,295,705,507,571,310,128,
328,245,102,537,977,202,507,555,494,843,167,544,867,996,705,853,260,041,344,
597,682,682,607,608,810,336,302,064,878,955,487,677,786,797,944,136,190,399,
733,075,548,908,009,233,926,651,775,709,188,823,658,808,484,608,801,525,200,
457,311,141,399,977,930,905,445,054,411,357,545,341,503,053,000,779,403,343,
186,849,042,918,410,025,288,054,223,275,281,238,770,167,846,892,756,227,931,
699,889,116,943,804,048,609,887,548,876,361,133,619,534,278,255,797,353,560,
422,073,737,324,210,755,439,404,074,110,560,345,297,973,031,002,551,070,797,
383,079,182,125,640,160,110,492,475,158,116,382,106,080,707,281,438,906,687,
209,549,800,250,105,821,156,667,868,138,983,342,877,718,379,814,474,598,850,
309,612,761,339,634,108,551,505,216,609,505,335,136,822,163,623,778,351,225,
023,864,642,793,866,643,628,621,074,622,210,961,010,640,488,586,273,753,992,
594,341,817,678,250,433,918,585,675,981,506,252,808,760,346,573,839,498,062,
851,571,509,899,749,907,054,254,951,038,646,428,052,596,995,983,627,224,432,
807,575,299,517,528,161,505,009,396,323,385,034,687,986,717,283,848,506,386,
051,341,668,956,850,586,714,802,507,059,163,828,746,366,915,764,434,470,386,
603,543,536,439,510,258,630,398,827,223,343,379,612,758,103,841,969,716,371,
757,152,405,758,075,587,700,187,992,616,100,523,321,484,780,498,079,663,860,
622,948,643,451,069,789,324,880,879,967,637,310,886,623,228,623,270,028,644,
632,700,071,571,781,647,305,434,829,194,670,297,556,859,196,015,705,360,525,
552,501,962,915,712,972,108,598,318,444,668,261,919,681,181,500,669,661,682,
701,166,918,076,647,625,519,626,726,187,417,354,211,836,944,915,427,557,762,
374,307,139,695,139,036,305,200,379,438,225,806,289,198,649,983,403,234,813,
213,619,605,035,818,789,185,956,511,177,296,195,795,642,584,861,756,924,047,
791,771,288,932,501,770,937,243,720,115,273,066,025,687,332,879,848,220,294,
718,939,976,180,678,515,196,834,601,827,462,577,044,425,652,201,832,117,439,
582,317,558,613,605,812,718,499,396,449,812,101,748,148,237,768,651,920,120,
219,808,412,388,521,538,781,894,264,235,029,306,726,393,950,287,269,143,924,
925,422,786,758,836,741,832,464,802,295,279,388,635,876,703,852,837,992,535,
318,517,771,605,828,291,780,309,413,079,649,290,603,241,744,392,496,013,822,
729,081,445,309,546,392,201,852,818,187,032,921,387,761,658,233,545,917,366,
450,820,387,087,102,423,470,713,177,968,936,919,813,947,937,476,333,374,797,
666,508,747,078,532,517,809,343,744,029,808,724,734,664,470,286,049,769,197,
981,203,985,793,657,947,672,214,548,560,979,932,989,488,082,524,480,207,074,
739,337,669,322,802,927,362,380,908,325,280,791,517,213,169,786,056,422,419,
599,449,323,545,516,401,454,193,241,668,034,434,283,470,616,471,191,803,714,
706,350,486,556,764,545,286,874,622,071,499,717,766,006,308,783,701,117,808,
018,644,155,103,053,028,963,886,963,789,185,563,954,904,400,023,637,353,286,
635,459,298,832,290,854,804,847,155,106,893,848,233,787,195,779,213,197,572,
991,964,870,372,644,809,856,436,177,271,454,673,888,473,721,419,311,734,662,
083,488,003,549,902,326,194,274,703,518,658,463,590,239,590,592,773,705,680,
812,435,067,567,893,673,551,437,377,463,082,662,116,747,615,131,557,392,671,
604,698,340,349,700,536,787,639,703,673,929,722,354,450,612,214,073,326,339,
564,133,527,468,073,541,746,408,139,992,916,178,334,648,513,900,005,913,486,
591,016,428,124,238,582,822,139,513,279,238,219,446,681,972,408,198,952,523,
618,381,369,911,249,006,359,343,409,712,840,585,715,461,050,129,735,372,513,
759,587,767,294,817,449,803,638,610,310,379,779,035,876,716,162,394,847,340,
497,271,495,268,029,602,781,761,758,559,979,562,572,760,325,973,155,484,172,
858,579,390,418,355,191,737,140,835,199,791,475,383,999,259,379,642,589,944,
800,250,465,926,425,993,140,710,720,612,203,688,816,275,447,024,526,259,012,
465,064,771,676,252,141,859,286,740,997,104,938,920,474,283,724,281,519,838,
572,892,137,120,701,412,495,288,548,326,660,529,186,186,386,372,189,101,981,
759,862,142,915,740,906,232,128,818,008,026,047,980,018,485,572,438,956,527,
351,304,978,117,379,991,059,256,898,271,281,856,217,258,258,123,313,262,747,
215,125,463,268,672,085,600,864,053,057,353,637,458,200,773,511,949,187,934,
866,934,238,211,477,363,042,569,973,878,438,502,527,357,803,342,536,064,886,
886,999,588,545,831,393,187,247,665,095,742,409,751,806,917,026,284,644,363,
647,893,865,845,217,913,470,927,822,223,616,005,392,902,088,259,695,627,389,
029,575,216,697,662,847,349,595,144,608,789,353,152,665,200,199,730,449,299,
774,250,899,927,230,020,880,362,940,635,208,455,027,570,068,809,042,855,738,
619,432,015,263,105,316,020,037,859,661,718,899,977,104,413,970,655,267,706,
306,464,710,605,359,531,919,329,585,496,867,595,506,258,632,264,586,784,997,
426,570,009,673,822,495,045,324,504,728,585,813,953,373,172,082,329,764,703,
001,999,800,327,346,706,851,121,098,297,283,167,393,355,791,263,256,697,439,
267,024,988,337,370,727,306,275,299,721,539,960,115,611,119,623,769,909,331,
541,117,372,098,087,832,458,403,390,190,722,522,518,836,780,391,970,171,974,
087,965,439,251,960,377,910,518,521,192,672,532,125,062,158,035,196,414,604,
453,076,459,671,656,908,315,541,782,373,036,098,822,305,490,566,179,892,299,
755,529,914,429,143,705,678,788,446,815,983,817,173,216,396,725,441,744,937,
603,446,389,772,638,963,401,581,662,467,963,316,570,268,946,014,845,044,295,
375,315,037,298,376,817,227,525,311,847,946,742,424,260,184,762,496,109,268,
049,216,126,509,488,954,870,216,600,264,122,171,759,549,655,988,511,886,878,
296,401,476,911,449,984,556,275,316,994,753,145,439,402,923,982,813,753,711,
291,755,536,988,833,173,590,964,114,897,624,281,662,422,622,638,188,788,017,
208,033,477,654,854,155,140,983,209,650,792,652,017,854,595,293,551,509,334,
844,127,145,279,398,105,806,089,344,759,528,538,902,231,031,650,853,610,107,
130,837,557,322,311,276,386,556,862,192,648,318,027,190,854,437,678,358,567,
062,607,968,518,604,006,666,938,356,209,367,369,699,570,102,827,740,117,909,
650,361,111,723,683,501,786,165,814,026,906,274,800,158,626,057,879,677,677,
086,556,220,468,965,446,697,484,542,422,477,286,771,024,044,259,823,673,336,
147,480,244,359,734,789,067,908,421,627,347,650,924,272,460,518,814,514,511,
909,629,416,053,507,856,248,079,498,718,568,617,807,864,992,150,546,843,846,
650,025,940,653,310,559,077,020,876,268,736,194,911,434,209,172,369,627,017,
549,107,990,009,753,367,943,722,780,075,722,197,759,496,678,104,034,080,892,
634,602,868,448,955,506,598,447,072,191,897,183,858,546,782,820,839,681,881,
124,420,156,399,756,628,938,987,766,870,336,863,879,883,716,188,044,596,715,
938,420,952,283,550,797,002,837,599,616,397,621,217,854,617,730,317,167,316,
690,097,430,885,598,714,248,833,495,014,602,397,992,944,637,920,462,892,650,
672,132,454,759,227,470,706,413,484,274,786,844,626,558,445,438,032,590,712,
328,732,757,320,875,073,839,961,096,755,661,979,629,768,937,079,983,782,776,
616,662,404,425,845,452,129,679,937,967,946,108,971,406,912,680,582,700,779,
890,033,895,400,024,371,457,893,871,923,545,441,595,298,337,890,557,410,414,
136,537,837,329,507,043,417,639,982,449,296,402,729,551,974,098,340,797,453,
346,041,303,186,081,363,074,577,012,133,879,203,893,843,118,087,394,507,356,
156,376,407,079,010,793,508,332,188,784,900,198,244,039,831,569,194,042,971,
528,811,705,898,708,559,598,603,416,188,992,539,240,246,133,429,450,372,883,
849,484,371,732,532,899,520,429,485,734,818,963,215,979,626,526,038,965,659,
745,354,821,792,023,758,536,369,393,498,156,728,326,571,532,559,125,331,775,
122,965,066,130,677,548,443,124,590,836,727,100,915,190,600,826,453,273,871,
632,498,666,553,451,381,888,332,752,317,434,854,242,998,163,564,028,825,130,
481,135,226,451,114,206,901,020,060,718,536,853,739,048,474,029,697,326,976,
126,382,587,953,708,863,366,061,293,751,022,418,620,566,442,413,019,632,312,
764,700,265,340,298,953,964,952,330,838,152,980,427,024,454,324,807,440,138,
539,818,691,624,739,112,724,053,328,549,057,774,837,922,186,327,651,619,936,
755,772,936,494,037,019,916,355,355,465,761,249,111,450,635,483,568,799,081,
438,352,843,282,070,574,224,393,175,563,512,780,006,649,076,727,652,813,637,
617,981,386,502,468,848,844,818,307,300,716,379,884,248,551,223,127,351,746,
616,624,461,431,448,328,605,142,844,450,599,055,830,261,615,655,242,866,377,
495,463,844,788,725,820,282,110,855,804,991,509,115,667,253,620,933,943,123,
390,779,020,743,017,447,753,773,731,091,715,809,083,498,298,892,844,191,251,
010,350,298,223,013,526,594,918,404,287,913,753,217,926,448,887,497,122,619,
610,315,385,809,547,491,296,082,007,019,866,886,576,695,596,598,609,858,108,
524,496,113,915,035,797,206,938,730,503,480,549,655,696,786,929,537,982,744,
777,558,441,732,689,556,468,477,333,504,064,897,871,274,155,664,235,999,514,
502,629,887,769,897,237,655,901,963,517,516,185,192,021,077,212,253,363,180,
339,865,187,034,680,011,005,916,697,412,275,885,887,517,561,756,825,469,283,
313,062,068,202,039,283,057,397,129,526,164,877,569,691,665,785,155,577,115,
288,258,504,879,164,602,914,675,393,098,398,190,989,280,805,491,323,469,894,
403,207,779,830,433,409,354,050,406,709,809,235,142,188,528,017,445,772,831,
595,395,233,413,079,284,714,457,008,348,885,697,611,000,581,238,303,809,758,
288,311,636,892,591,325,238,511,162,687,228,654,112,174,434,248,458,956,141,
297,249,158,312,683,866,761,444,684,184,919,703,138,280,177,734,236,616,177,
896,529,810,453,788,512,335,392,020,824,095,187,461,635,178,516,027,173,967,
624,784,925,998,578,472,086,250,736,698,024,895,105,404,660,266,520,838,037,
177,324,549,774,017,519,209,324,734,215,441,408,134,999,729,486,956,687,252,
245,678,722,861,812,234,137,224,995,978,757,235,393,016,981,438,126,948,813,
865,783,472,693,777,950,877,589,880,201,612,274,156,596,708,841,136,534,988,
212,281,971,205,031,321,205,330,229,568,842,206,091,456,338,004,199,059,699,
246,908,829,288,818,186,080,556,291,419,294,023,612,458,559,159,634,576,165,
811,936,532,949,998,197,920,931,700,337,750,646,767,468,023,875,554,347,773,
308,639,024,177,304,874,066,372,376,265,367,594,043,429,429,542,739,623,031,
555,377,608,401,789,325,848,551,457,459,363,630,430,980,942,356,638,253,349,
349,340,330,969,827,457,808,037,312,939,242,803,545,791,257,948,451,216,517,
508,220,664,034,876,095,679,943,423,492,659,497,754,873,027,880,746,353,397,
235,375,302,876,482,168,634,145,769,761,268,995,401,829,428,212,518,287,655,
290,914,501,675,983,088,779,570,952,345,944,042,434,567,368,607,212,485,301,
482,860,898,222,233,625,756,001,886,991,058,993,724,684,270,385,698,729,603,
603,465,395,846,637,402,939,489,706,938,137,778,685,970,640,002,258,961,859,
410,329,092,143,049,166,821,770,805,254,524,800,330,866,012,624,151,739,686,
048,935,114,437,358,694,845,260,027,959,673,159,045,225,298,319,124,170,762,
883,494,862,759,342,107,571,754,502,049,879,646,352,543,229,837,275,363,437,
177,286,701,471,000,776,147,559,956,984,970,427,167,068,764,741,704,669,045,
133,398,734,995,613,580,721,091,580,472,639,367,865,366,182,226,454,162,912,
377,685,775,948,031,045,721,268,296,221,808,035,955,863,633,975,562,337,883,
733,227,411,791,490,143,250,707,683,510,467,258,732,938,563,028,251,233,667,
801,095,037,262,759,204,425,314,338,965,622,523,418,586,821,522,125,246,026,
958,608,938,097,087,851,109,695,555,123,477,146,629,719,143,752,441,034,903,
864,695,387,837,402,714,813,825,968,399,217,798,785,128,345,675,046,863,861,
318,135,201,593,602,753,809,692,761,076,716,626,405,858,085,873,876,212,189,
246,095,181,279,556,488,274,260,224,718,814,169,792,662,308,677,976,962,277,
494,600,414,570,739,505,978,760,296,503,291,517,031,689,106,245,579,050,489,
838,040,575,483,066,813,544,461,109,091,768,490,818,954,062,158,490,410,764,
326,132,815,587,321,013,115,464,120,194,685,540,980,781,011,565,013,217,742,
469,618,713,222,621,039,034,231,613,827,108,727,350,546,426,499,671,559,096,
534,915,001,978,335,683,229,541,236,865,849,164,131,819,091,663,862,120,600,
709,256,672,595,419,123,855,912,671,299,500,265,896,580,982,900,425,625,098,
490,680,341,374,523,277,598,108,753,720,559,800,476,738,749,275,835,682,071,
332,280,359,830,137,855,204,384,565,630,962,193,768,771,427,746,741,692,084,
186,769,842,048,030,695,307,812,916,344,005,683,885,900,734,473,532,994,102,
297,997,659,131,057,813,398,327,308,477,506,554,441,418,180,129,575,295,681,
650,390,762,498,267,344,010,548,654,383,081,164,081,766,112,720,507,779,790,
495,485,149,526,340,075,984,561,590,749,594,368,581,282,527,994,272,756,278,
553,141,975,500,423,256,026,502,662,801,656,374,319,513,158,023,744,194,333,
124,737,952,928,453,087,525,867,758,319,155,781,811,122,703,495,516,292,796,
625,494,927,560,556,887,493,682,453,655,214,321,998,833,147,938,393,485,890,
056,238,415,096,680,467,098,998,257,263,682,136,065,628,905,832,297,422,801,
434,950,740,141,025,351,194,556,295,662,593,635,191,842,360,294,616,870,915,
831,627,297,023,165,002,948,978,147,545,666,996,767,646,609,564,639,865,408,
219,530,354,113,705,508,514,328,330,841,783,873,098,751,829,076,749,268,276,
694,203,360,610,082,137,369,606,978,672,971,988,048,555,806,370,216,702,585,
945,437,639,999,194,246,900,683,964,116,860,869,920,191,706,816,468,997,941,
493,736,572,337,917,032,633,958,888,133,709,135,765,785,047,244,730,740,981,
181,140,366,817,002,591,693,501,491,863,973,546,371,575,217,277,372,519,783,
407,931,333,249,997,199,931,717,002,040,608,631,800,271,838,419,443,913,612,
259,143,894,439,716,371,631,607,953,312,003,843,384,620,090,738,825,980,545,
845,749,883,257,497,539,801,807,043,174,801,592,326,827,134,947,974,277,863,
558,318,423,092,117,389,702,004,936,657,100,478,549,033,606,148,310,239,562,
332,853,548,844,804,442,082,748,102,516,736,418,823,276,900,815,097,530,662,
768,368,065,592,205,086,160,986,337,930,326,280,863,308,123,187,941,742,569,
660,436,761,766,178,929,179,300,507,906,965,277,969,705,599,677,293,450,748,
602,428,540,857,567,258,613,501,005,427,657,945,722,907,171,364,019,330,339,
563,181,003,997,510,751,256,338,565,846,167,541,558,911,740,604,463,134,920,
376,045,994,593,086,884,485,841,159,562,659,199,314,850,263,077,899,292,106,
506,123,204,753,161,839,800,985,513,327,568,111,944,624,229,026,121,436,283,
310,570,976,678,391,100,335,233,392,708,301,596,831,382,671,349,077,850,578,
720,018,875,935,077,354,861,908,774,296,974,910,167,567,203,847,985,753,069,
465,436,702,551,598,547,457,642,465,914,135,206,316,432,713,769,248,325,206,
626,506,767,992,673,202,587,680,995,301,879,095,978,445,161,618,028,719,918,
524,633,556,824,341,295,886,509,838,132,438,170,513,936,458,748,502,421,628,
757,156,963,211,348,947,020,019,108,225,696,130,414,966,633,616,626,556,837,
221,182,983,117,260,540,675,902,191,787,765,009,208,586,105,964,657,783,675,
957,299,100,599,537,025,120,180,885,919,988,463,074,679,977,195,317,869,272,
971,891,347,272,875,827,244,304,364,302,147,795,574,308,666,957,793,527,183,
306,130,419,113,148,305,385,503,570,747,715,841,479,388,608,164,003,732,604,
283,328,722,355,757,879,858,067,412,535,192,206,565,935,149,584,328,553,960,
804,860,547,073,052,374,271,040,734,570,674,997,624,862,699,916,693,415,453,
719,676,421,934,396,927,758,620,575,155,663,378,978,678,980,861,216,976,621,
003,915,492,046,923,045,159,998,204,194,535,781,470,147,323,332,267,265,063,
688,039,995,924,270,261,017,193,571,849,063,952,029,687,174,663,227,881,363,
045,057,018,872,078,021,291,222,539,743,591,993,039,682,475,554,221,361,694,
847,280,996,960,226,567,262,341,298,982,112,100,648,207,373,978,042,388,622,
099,398,752,393,954,247,836,881,921,445,886,575,498,109,753,206,676,220,093,
787,331,298,610,466,592,768,316,988,999,139,719,181,197,172,911,067,239,130,
793,523,067,281,250,528,722,749,637,068,279,140,258,835,449,446,830,728,122,
253,517,808,412,931,196,851,588,698,258,133,016,529,070,205,243,335,663,243,
910,964,126,430,905,856,110,938,786,406,456,739,669,473,821,667,072,626,573,
339,865,406,926,494,853,478,109,765,245,618,145,323,826,820,441,218,842,444,
074,674,765,267,292,243,133,607,283,556,417,063,580,136,967,496,551,977,653,
150,178,884,054,521,801,209,411,647,216,471,009,648,365,276,546,979,682,697,
470,397,178,766,938,434,975,279,446,916,158,850,878,725,524,919,440,708,360,
764,415,919,839,601,600,407,113,839,672,108,270,091,134,481,454,899,883,328,
306,375,556,595,154,728,168,086,018,662,922,154,864,590,322,951,841,133,562,
906,483,388,118,497,741,608,038,459,462,112,803,297,381,409,276,268,780,303,
951,301,831,048,212,067,650,802,877,056,718,533,700,356,273,244,603,642,741,
504,744,618,053,301,457,682,436,948,043,276,245,026,215,419,023,479,687,278,
450,263,473,108,306,559,134,359,717,281,021,117,480,084,104,846,418,115,847,
690,743,125,858,505,403,887,741,883,616,294,836,913,467,188,349,899,439,878,
298,337,127,981,215,130,475,516,952,854,594,111,167,224,557,307,451,069,300,
480,441,639,191,230,492,961,804,778,049,037,073,035,093,257,266,654,532,545,
168,326,625,370,810,350,790,009,234,775,676,871,495,840,303,502,046,127,615,
075,568,671,779,351,971,426,900,969,304,419,149,259,536,051,215,575,218,860,
240,158,086,797,418,019,786,782,844,173,576,279,248,050,903,189,523,356,514,
237,507,633,619,718,886,967,030,293,553,698,207,401,856,097,975,215,157,550,
164,876,613,511,323,507,752,033,798,381,387,999,991,452,724,207,316,872,689,
436,168,033,974,701,566,600,879,077,710,199,749,569,801,665,874,819,057,456,
611,293,560,685,770,920,231,248,403,118,400,813,098,704,715,768,748,231,041,
891,897,531,285,805,682,328,301,199,918,916,049,187,363,828,413,240,294,735,
351,258,581,496,430,465,279,845,024,289,073,897,559,763,194,121,299,143,902,
266,427,138,594,613,256,941,260,418,674,014,038,153,116,218,265,417,584,183,
106,123,313,761,072,836,296,554,044,603,941,233,354,325,764,087,103,530,524,
897,572,370,760,431,741,056,779,452,843,576,889,346,720,499,789,837,989,561,
602,396,784,557,501,232,119,155,124,660,765,331,105,991,782,997,495,755,325,
622,967,788,924,203,020,586,731,118,680,416,522,263,863,191,579,407,052,482,
486,446,938,154,572,631,465,270,097,103,094,383,350,931,461,508,459,920,390,
286,999,800,377,082,355,237,512,428,147,922,944,307,461,907,241,828,460,630,
404,085,805,004,594,652,417,614,328,018,729,390,218,498,505,493,445,008,070,
715,170,014,466,169,986,569,131,205,419,366,879,103,967,490,067,627,438,949,
262,788,994,596,800,811,686,253,277,028,820,185,571,408,619,238,303,639,409,
542,445,533,038,338,377,015,313,925,088,262,397,588,373,274,775,505,827,834,
624,703,868,311,805,828,686,299,582,668,222,170,897,623,199,153,509,513,027,
932,028,161,529,152,576,345,260,603,702,682,683,894,295,358,662,773,704,356,
761,125,311,596,622,278,899,330,500,152,408,908,087,290,955,064,392,599,244,
870,105,462,427,991,997,998,638,012,096,662,105,216,161,969,001,323,519,082,
790,249,559,612,195,707,796,988,920,677,698,405,723,553,521,611,652,658,772,
060,447,810,180,505,930,157,382,242,597,976,803,529,105,651,120,624,528,490,
037,645,429,269,453,764,393,498,604,743,827,331,585,583,578,923,406,834,451,
336,762,509,374,276,627,791,443,344,007,768,700,362,486,507,130,485,438,463,
390,541,821,503,209,938,901,269,391,460,338,028,612,424,400,095,525,972,932,
540,423,993,726,526,235,833,885,971,237,622,677,411,962,691,889,470,257,792,
925,247,928,574,843,120,306,605,570,886,962,232,307,050,658,754,085,293,994,
566,733,899,716,841,264,233,790,139,881,864,747,646,363,955,699,044,384,216,
606,803,212,440,476,061,397,836,671,061,954,219,472,724,462,128,902,811,097,
491,459,327,558,280,367,071,082,433,000,660,891,260,299,047,526,835,811,545,
973,252,130,619,639,901,574,333,729,418,354,649,190,915,794,754,272,267,053,
838,226,271,482,493,499,709,434,209,502,139,823,709,281,812,603,155,307,574,
328,466,846,479,257,882,114,958,956,308,349,829,399,134,886,449,956,359,156,
587,869,827,744,606,128,008,466,718,357,301,796,667,746,168,642,529,469,640,
956,932,685,975,847,710,012,886,173,912,956,002,964,190,593,329,705,706,509,
247,230,513,739,288,655,400,249,916,475,488,571,412,622,112,509,154,582,761,
799,293,505,779,749,335,029,536,571,335,857,818,692,018,182,593,520,045,514,
352,794,243,582,568,298,261,737,913,622,952,134,434,960,374,099,821,842,088,
323,698,034,258,300,368,577,191,904,421,470,190,284,540,155,633,353,675,667,
038,431,730,891,754,432,734,506,114,966,244,798,610,107,609,025,248,775,981,
188,285,583,276,263,251,703,779,634,893,578,013,702,568,318,324,714,973,114,
167,103,084,609,011,901,409,084,107,661,427,498,700,945,895,807,643,539,357,
418,821,108,111,700,101,199,940,861,807,832,118,877,988,364,283,371,417,312,
046,273,839,559,345,922,831,142,037,355,395,907,501,991,676,951,193,567,239,
538,540,763,074,546,490,133,184,555,400,272,985,812,305,949,670,390,766,412,
442,738,329,639,903,855,358,302,816,248,182,745,661,154,388,485,637,488,185,
640,118,895,671,155,142,508,841,899,339,510,242,384,920,728,296,382,292,279,
017,237,521,143,569,045,131,405,062,484,865,956,220,175,595,240,280,154,462,
588,764,783,643,452,086,389,188,091,029,749,984,790,748,471,716,184,482,865,
950,283,646,908,977,721,694,186,544,581,015,480,543,091,340,862,051,887,349,
952,808,640,815,935,884,129,488,678,177,823,615,950,424,652,640,490,654,397,
021,601,471,293,474,887,862,644,318,894,272,753,967,491,823,489,019,650,702,
769,806,828,270,743,373,236,680,267,012,443,808,517,342,116,375,447,394,760,
822,448,622,308,275,864,633,798,851,736,814,744,622,724,844,962,886,108,848,
220,154,137,232,594,760,628,776,795,680,917,635,251,810,057,834,206,202,197,
134,050,955,698,286,008,479,400,126,576,493,458,457,507,489,007,498,464,929,
706,880,571,035,796,004,993,333,341,292,934,140,878,119,256,738,337,021,518,
332,078,817,790,116,035,621,593,976,156,139,942,300,977,644,086,422,595,147,
145,694,677,772,300,099,698,216,079,979,839,095,497,660,777,311,586,381,424,
176,300,434,628,075,998,440,894,765,120,826,269,263,653,115,482,344,466,901,
922,450,359,491,447,361,285,220,346,203,363,125,188,698,956,322,433,733,347,
321,544,607,430,255,900,152,218,146,315,552,663,982,535,292,871,340,859,127,
971,414,472,678,505,466,450,513,694,683,035,785,321,113,030,735,615,555,517,
132,520,742,190,915,212,900,055,805,881,100,045,839,730,256,619,397,458,184,
477,196,608,095,783,184,270,825,129,756,520,659,396,165,568,862,173,864,846,
434,150,060,935,769,017,158,359,888,504,121,990,455,079,095,256,764,905,221,
681,340,609,245,591,668,134,619,139,829,215,141,001,958,084,254,244,302,783,
249,477,404,111,362,914,810,399,228,956,881,950,050,724,496,584,818,748,218,
042,545,735,471,616,353,521,760,670,389,390,466,447,857,309,168,709,554,175,
331,798,466,537,256,502,516,945,336,031,205,852,675,155,038,553,655,883,671,
876,333,565,082,454,535,338,386,592,638,837,385,116,806,681,336,264,661,166,
427,633,214,639,172,854,151,452,262,491,277,436,005,859,547,599,531,033,320,
656,814,588,905,853,422,150,059,337,760,354,773,942,197,482,803,842,750,454,
584,146,164,492,324,170,536,412,648,275,140,157,989,548,701,134,067,444,577,
097,911,598,882,797,737,377,370,342,438,646,940,798,291,319,349,386,817,921,
262,988,992,301,791,750,388,853,186,860,774,666,687,832,649,138,006,187,140,
477,584,879,330,692,888,863,649,614,533,887,223,529,313,294,854,786,445,268,
077,886,210,491,270,892,982,734,061,759,313,524,696,867,255,897,881,702,877,
252,544,454,444,966,965,664,819,714,149,873,776,513,784,385,129,710,701,006,
175,144,418,954,947,326,352,220,279,531,419,917,110,267,851,310,966,224,533,
161,052,746,453,893,267,689,873,581,893,942,494,808,366,806,082,224,533,694,
855,786,201,965,307,502,168,568,858,190,559,083,327,004,236,744,165,000,357,
436,894,259,349,810,487,634,115,610,032,397,846,978,252,236,809,606,764,511,
291,819,893,744,540,456,427,817,890,221,699,400,913,792,421,822,159,367,744,
248,779,437,102,874,426,599,311,146,709,420,992,933,071,839,233,700,175,390,
648,286,194,436,656,077,067,209,080,262,533,689,192,401,728,186,373,918,050,
867,885,561,535,127,889,757,611,356,268,541,169,291,260,230,344,697,142,168,
172,142,098,558,379,688,449,576,970,657,359,768,793,414,570,983,158,961,753,
947,357,933,142,698,702,804,956,157,871,830,226,719,434,622,803,050,572,556,
030,205,530,122,476,462,414,274,848,809,290,263,309,566,185,765,578,008,835,
521,045,764,988,281,629,334,283,615,574,648,435,096,981,449,596,843,727,295,
276,514,691,444,417,039,353,363,410,997,638,793,736,259,146,610,904,215,888,
828,248,000,245,323,973,370,895,453,837,792,665,187,725,550,356,803,890,957,
546,849,042,259,805,553,326,216,551,136,113,601,636,443,773,365,390,263,772,
250,972,705,094,321,256,419,507,978,445,362,447,051,869,419,050,939,306,492,
906,597,526,931,021,191,588,527,448,681,103,084,119,776,225,058,422,728,223,
458,067,421,713,787,091,005,470,298,462,865,559,809,656,701,686,222,070,765,
529,817,325,106,438,607,016,480,513,048,376,631,708,019,656,993,482,274,262,
848,524,502,502,027,587,854,287,256,486,632,217,723,777,736,722,421,610,559,
645,219,808,717,851,072,956,337,439,042,087,867,029,820,618,189,342,417,735,
350,512,626,059,248,153,732,134,060,916,583,572,864,673,649,274,176,941,243,
035,609,060,853,550,585,555,715,957,523,627,683,110,179,575,064,643,909,691,
679,705,551,184,230,824,540,640,046,826,032,657,966,625,537,741,169,353,314,
938,874,056,448,662,658,299,441,136,764,255,786,653,262,374,468,099,216,114,
906,558,759,954,697,591,020,137,541,860,076,792,556,901,459,157,719,176,534,
599,910,582,516,871,216,975,006,317,066,180,266,379,729,645,687,633,401,391,
282,792,035,085,791,066,774,557,120,748,223,475,091,469,335,298,511,008,279,
406,151,766,077,474,153,316,715,501,428,098,332,668,946,594,274,167,509,932,
816,331,631,430,560,736,140,976,899,122,755,357,802,774,171,426,715,491,411,
000,585,842,181,469,421,652,864,764,856,151,132,406,862,894,040,993,444,120,
731,682,765,009,071,465,289,171,354,806,462,156,310,179,964,342,412,736,952,
387,339,287,282,919,433,103,231,603,748,695,515,422,548,391,313,434,808,918,
459,865,048,779,265,878,495,655,198,391,673,399,253,565,722,622,114,127,360,
658,377,138,461,467,919,689,610,294,424,942,656,913,388,845,845,046,061,923,
347,517,132,480,701,738,575,584,395,529,763,940,234,262,201,304,717,699,752,
448,693,467,197,154,620,383,515,104,736,754,358,128,829,145,586,172,902,020,
231,266,274,759,678,416,165,691,209,850,431,261,959,392,098,699,178,244,100,
012,636,938,943,644,791,762,823,615,043,266,281,585,926,411,616,340,119,693,
422,921,070,834,646,997,852,143,420,706,456,594,419,642,914,519,526,661,014,
676,068,839,407,621,592,386,094,560,852,824,675,652,722,349,255,044,235,204,
042,455,699,121,743,699,153,193,284,158,203,396,640,333,149,361,676,289,900,
959,476,311,504,891,738,544,248,559,407,615,587,666,709,026,419,595,744,888,
409,000,236,648,877,537,134,693,579,187,357,755,550,168,312,360,643,685,989,
240,032,981,062,339,076,735,222,750,094,737,345,039,591,947,971,179,598,766,
358,256,322,435,487,969,569,382,967,526,059,768,097,767,447,378,397,751,364,
645,030,677,790,914,745,047,106,413,371,078,901,133,958,018,054,047,893,716,
897,156,022,528,068,315,111,112,109,342,058,868,544,723,192,725,534,831,836,
078,902,643,356,550,287,604,537,048,382,422,550,804,871,161,412,984,480,395,
970,777,386,761,166,029,434,295,232,588,109,883,309,283,012,030,447,206,592,
550,915,388,561,669,200,745,838,964,649,947,734,505,540,717,963,442,486,920,
521,898,473,456,161,783,668,873,467,425,037,115,689,810,910,035,988,929,288,
774,129,488,026,963,911,802,611,777,251,566,113,325,698,556,456,138,918,638,
742,236,090,777,191,339,076,146,855,366,873,701,189,817,368,345,588,625,699,
156,303,213,885,258,880,691,452,612,239,664,097,562,736,143,804,189,912,286,
851,250,350,078,421,754,435,138,089,135,092,419,769,282,864,645,401,042,274,
363,103,306,829,528,077,544,855,206,820,676,589,281,039,633,355,544,955,800,
232,583,440,717,669,182,823,726,199,561,444,499,673,408,242,889,223,305,835,
104,357,684,843,992,941,451,066,155,910,467,594,507,925,827,162,638,688,312,
991,511,431,483,271,565,747,915,119,853,144,647,357,380,632,566,730,489,677,
488,428,449,157,138,391,449,942,533,136,499,562,922,416,985,264,622,440,502,
455,238,246,748,364,728,978,335,559,217,882,141,834,540,033,485,464,736,040,
361,265,788,285,879,628,897,967,874,911,984,883,405,768,659,203,800,486,887,
889,821,471,299,015,330,170,846,393,035,376,927,079,408,663,603,794,907,285,
009,790,810,997,667,276,446,726,927,751,971,859,633,410,783,074,065,410,797,
534,129,559,547,628,502,518,465,036,558,039,513,639,917,557,040,084,085,033,
914,126,300,552,738,304,998,259,841,369,196,334,288,246,854,590,444,918,427,
115,631,353,115,604,618,824,918,045,498,893,399,801,961,536,816,520,164,999,
183,963,573,844,857,348,582,385,104,951,391,554,072,512,587,120,457,821,795,
179,649,337,442,793,728,706,432,758,531,504,124,542,298,862,309,948,424,826,
856,078,304,360,141,058,022,413,746,733,138,232,367,514,887,690,369,161,361,
995,601,948,644,886,969,666,765,858,537,213,976,247,218,531,280,820,993,581,
645,872,674,011,005,959,806,823,869,028,267,779,372,860,255,857,543,855,290,
491,443,736,173,707,759,140,632,707,265,681,919,838,731,211,169,468,584,050,
393,309,024,234,145,829,809,067,517,073,535,477,860,900,136,610,870,165,708,
768,208,483,482,283,776,278,389,935,896,996,376,211,151,523,657,680,430,774,
597,201,891,616,240,098,419,263,362,146,567,668,304,271,110,922,874,171,101,
937,207,970,892,586,277,957,211,303,980,287,359,746,863,199,747,725,795,027,
308,637,943,801,583,327,228,752,092,363,775,613,042,587,928,939,146,454,006,
672,378,529,868,636,507,615,966,437,505,604,238,377,837,271,186,627,964,100,
095,722,804,916,080,894,183,421,507,493,494,047,597,881,348,423,038,045,878,
844,797,646,605,144,644,741,304,574,205,625,310,056,804,870,039,406,697,163,
714,201,548,949,347,395,154,176,043,515,559,782,301,068,863,241,144,661,941,
374,893,409,303,612,985,945,691,321,274,395,658,871,553,712,477,076,548,934,
110,582,115,368,103,750,960,114,689,884,995,866,390,145,351,151,243,294,202,
101,630,007,521,910,110,861,700,770,552,297,251,727,604,599,724,711,349,050,
148,276,752,619,545,033,866,603,418,148,085,257,578,318,654,409,940,970,280,
995,533,758,157,204,763,678,530,852,786,166,166,720,150,077,980,051,927,819,
411,348,433,425,700,329,934,329,149,899,869,539,500,824,681,201,796,268,099,
040,580,914,367,885,077,727,401,504,127,205,678,152,516,679,465,035,846,794,
625,843,610,642,811,269,940,011,982,498,547,173,646,823,121,234,147,751,532,
208,614,432,789,116,498,617,889,354,873,818,522,147,328,092,129,355,594,195,
654,596,052,157,099,417,212,774,814,352,743,390,952,474,320,673,607,065,765,
635,506,908,351,387,421,092,349,334,615,994,539,488,625,878,174,112,437,620,
822,319,513,818,566,687,198,905,900,154,637,891,409,115,993,563,205,775,275,
615,615,679,121,263,850,472,300,365,041,114,215,130,538,594,604,833,845,669,
332,776,680,636,775,015,693,417,463,649,764,210,875,951,645,500,297,614,991,
923,015,286,899,162,514,889,237,480,662,566,067,328,093,578,382,880,588,316,
124,250,440,425,602,894,582,558,513,266,257,973,698,931,288,397,902,580,602,
982,734,712,594,647,640,250,572,056,458,196,046,828,475,157,638,702,704,008,
197,121,798,871,651,967,053,863,711,650,466,675,915,201,567,105,701,862,345,
765,402,371,614,732,144,078,569,127,128,004,158,273,877,078,469,238,824,032,
802,734,157,522,228,337,022,844,871,931,731,298,927,383,245,436,420,816,450,
435,178,031,579,783,363,452,120,256,938,942,333,751,131,077,824,081,166,104,
419,787,614,619,059,822,339,236,573,333,485,357,198,025,217,605,334,753,735,
119,061,001,985,738,339,027,031,088,317,555,851,569,568,114,232,344,802,312,
033,047,107,483,917,841,247,455,943,518,899,284,949,051,861,025,485,408,451,
945,072,723,098,757,572,775,994,777,617,063,680,449,409,218,105,813,845,259,
307,398,643,942,475,863,945,062,822,569,747,972,688,282,444,083,842,656,906,
578,663,390,948,639,155,407,631,705,115,333,285,107,397,649,054,617,817,589,
885,567,659,347,569,794,645,892,308,752,565,544,727,222,501,564,275,003,140,
642,793,370,583,326,503,138,494,358,259,936,797,204,673,994,176,994,161,033,
099,255,456,829,245,436,613,912,238,435,224,074,894,360,970,672,006,827,563,
778,642,116,855,989,784,388,486,999,957,924,193,854,219,261,485,743,683,269,
759,185,964,864,377,984,513,074,318,910,868,191,330,592,318,673,123,906,037,
171,992,738,568,487,694,728,894,608,771,959,849,556,412,244,992,276,323,954,
942,815,434,410,272,648,220,327,208,883,140,455,956,667,724,298,806,774,282,
445,461,627,039,147,897,666,178,673,373,410,891,567,929,231,428,223,277,360,
484,336,313,941,260,129,668,017,507,564,444,892,331,416,779,608,698,893,685,
647,712,049,119,216,372,709,388,557,835,690,001,104,216,135,067,799,611,289,
719,801,658,154,991,621,471,338,186,892,900,311,796,496,928,780,165,197,726,
410,566,971,714,494,736,829,578,590,724,726,951,314,424,121,097,128,869,295,
713,129,679,673,947,497,141,698,839,004,129,060,969,058,538,437,943,083,255,
518,001,705,697,989,074,097,306,666,986,249,556,371,726,587,441,266,812,442,
791,233,770,117,526,335,547,506,706,016,337,827,341,346,191,995,517,207,934,
868,245,731,117,345,112,324,170,152,424,462,441,928,729,220,358,023,466,278,
385,322,058,784,614,315,380,538,838,888,975,911,036,284,294,205,759,967,194,
052,421,322,267,741,914,138,440,581,227,254,493,019,126,592,435,114,946,225,
472,831,022,219,081,977,950,447,817,724,139,708,619,268,510,782,134,839,064,
956,131,080,326,592,816,358,043,901,688,379,015,962,622,259,003,545,040,005,
435,113,394,237,330,593,130,218,813,425,264,788,866,043,141,193,778,876,817,
149,445,087,581,484,420,936,154,840,874,010,966,389,860,078,509,121,414,757,
334,317,770,455,765,753,936,359,988,322,682,949,853,718,505,980,095,310,680,
295,863,463,085,810,562,300,472,377,639,539,569,458,784,484,294,164,634,286,
886,306,266,999,941,445,296,877,715,198,495,942,507,148,456,838,197,859,958,
202,687,703,541,461,920,320,864,444,691,062,791,021,719,738,238,553,055,305,
385,626,076,891,231,258,022,413,474,803,664,948,827,698,904,829,680,815,158,
362,846,662,608,669,136,994,777,316,321,789,911,301,803,373,092,522,417,793,
281,105,146,581,909,284,487,796,765,365,519,986,002,217,869,326,196,668,093,
091,037,453,077,910,655,352,252,296,871,384,506,055,688,848,272,745,203,594,
104,209,927,090,094,772,238,383,989,243,940,814,611,448,658,434,607,480,289,
043,371,328,907,524,031,944,214,804,377,623,380,903,440,952,643,669,753,379,
067,133,001,067,630,684,976,099,445,012,656,493,113,958,833,609,310,392,150,
168,971,467,533,528,407,791,189,724,815,252,886,769,250,340,214,785,163,463,
282,829,710,585,883,758,445,756,249,369,978,661,511,811,981,456,101,156,181,
250,059,650,882,507,329,962,240,611,181,197,369,627,423,426,992,936,812,558,
375,365,579,371,131,554,241,834,546,963,340,334,032,793,748,860,999,891,609,
108,781,991,541,071,940,285,076,847,871,943,630,484,667,117,971,128,124,624,
029,079,951,721,423,043,816,252,742,336,501,536,752,181,107,107,153,008,515,
083,856,026,195,647,304,352,616,908,621,888,478,013,562,691,913,067,084,334,
566,296,552,187,700,952,149,726,144,804,966,356,481,954,455,557,494,956,663,
862,998,587,782,901,837,843,058,164,953,988,375,645,797,093,448,314,368,745,
992,174,458,120,235,427,042,654,857,936,944,552,798,355,599,640,731,408,370,
857,880,125,094,925,292,106,597,473,190,217,727,081,674,085,100,002,406,128,
098,258,580,849,858,043,862,639,288,408,467,395,714,018,856,164,387,756,052,
871,906,087,712,170,091,452,188,393,238,549,625,938,976,849,548,196,067,670,
998,382,085,408,092,149,694,043,410,173,659,728,830,994,989,021,487,591,301,
412,621,944,842,445,021,596,666,098,342,773,750,246,979,973,101,693,608,772,
844,822,458,703,700,310,999,997,027,597,800,965,479,317,266,717,044,727,114,
040,223,372,457,775,648,979,595,808,666,523,311,704,955,197,841,532,882,815,
426,437,048,723,063,137,389,902,965,017,343,266,325,966,251,750,402,733,951,
863,600,795,770,735,573,057,917,205,602,167,759,168,148,112,047,353,650,875,
254,549,534,343,226,491,688,868,196,894,344,115,992,752,509,506,253,927,755,
003,492,832,170,029,199,441,343,549,812,237,393,443,434,231,080,151,947,539,
293,081,407,567,079,254,144,541,970,601,445,069,646,444,458,702,481,703,737,
314,248,908,157,748,928,288,146,804,984,290,839,892,509,938,966,519,327,053,
138,911,170,789,996,738,250,767,747,149,642,335,354,913,733,852,178,256,415,
903,448,229,303,182,438,085,629,001,511,669,830,269,681,167,338,758,149,430,
578,691,787,229,993,937,413,226,849,173,178,780,994,749,240,903,878,553,003,
892,420,864,182,838,060,812,069,084,912,910,795,886,333,539,232,436,266,819,
540,094,756,271,151,563,100,375,561,611,325,407,456,506,268,725,218,682,017,
482,187,353,885,574,043,857,743,086,143,226,843,169,104,146,039,412,651,594,
330,754,878,826,326,695,032,931,564,131,711,116,012,130,773,181,643,249,113,
863,126,734,150,596,014,477,040,379,814,145,692,022,523,737,821,676,627,866,
540,936,679,030,192,637,933,327,016,851,856,455,363,064,871,371,104,662,124,
231,492,438,269,480,116,194,363,714,266,015,878,934,296,749,172,536,634,414,
243,841,532,047,503,078,893,292,810,794,580,437,083,582,945,798,377,572,515,
927,511,455,676,530,501,114,262,616,559,067,894,317,549,069,043,262,333,330,
628,458,459,233,324,220,783,331,866,986,185,431,223,534,642,217,845,277,353,
559,826,838,458,243,562,034,455,236,188,603,200,847,199,607,748,214,275,887,
089,202,272,718,016,029,353,208,272,206,024,828,632,387,678,340,092,404,195,
664,775,272,264,398,117,000,661,659,961,641,769,117,850,574,379,412,933,138,
085,284,067,606,416,981,236,797,081,392,261,834,276,403,826,114,374,250,321,
518,865,867,962,377,209,750,891,958,543,599,671,843,158,627,843,424,801,658,
030,575,440,940,553,340,339,184,111,668,452,297,981,324,098,208,658,950,458,
884,213,322,061,707,771,087,459,926,568,106,389,692,264,718,541,714,115,749,
202,006,592,270,323,331,675,377,761,034,216,544,461,561,859,457,534,365,173,
328,474,384,484,676,275,531,192,216,875,989,895,920,343,050,649,997,279,798,
001,598,583,954,881,429,168,566,963,793,897,716,862,397,982,150,831,725,803,
902,082,653,604,468,470,172,358,877,790,598,833,480,178,486,623,014,827,107,
977,703,555,045,473,681,250,511,576,471,200,816,109,738,749,267,048,096,701,
563,990,238,234,095,467,993,957,842,465,995,978,820,520,127,773,859,040,094,
277,977,005,754,245,370,689,752,165,536,319,413,223,632,605,925,609,863,823,
181,036,207,653,298,169,198,447,013,659,157,264,637,252,457,095,104,526,564,
130,590,725,705,396,030,603,279,237,126,821,599,970,285,013,245,841,071,402,
495,408,799,642,695,266,641,832,608,473,942,998,593,861,204,539,863,782,562,
452,506,438,877,951,115,410,732,019,858,216,364,204,238,910,310,189,848,642,
464,833,528,100,059,417,391,019,207,161,130,673,904,493,833,872,010,230,323,
873,438,423,080,161,698,824,733,568,019,626,012,562,279,203,473,206,814,684,
371,507,014,887,639,900,327,259,453,959,906,115,902,405,739,156,600,619,086,
447,696,928,336,410,417,730,186,918,221,169,146,555,053,179,405,474,866,678,
160,262,778,054,067,099,231,381,252,519,459,367,212,659,590,954,349,086,142,
889,163,172,663,523,986,328,758,404,972,750,729,196,595,771,448,090,164,343,
528,306,195,163,141,440,454,492,087,966,728,160,673,773,411,874,337,251,458,
049,625,016,460,074,732,154,998,741,964,888,422,979,882,347,260,894,512,234,
785,008,836,513,149,862,302,337,861,431,883,713,982,342,543,018,113,992,308,
938,859,384,609,610,763,386,396,560,488,905,837,358,095,536,382,327,774,586,
477,939,028,282,413,905,546,571,567,032,112,553,156,257,954,915,422,835,329,
990,017,758,937,438,880,220,513,717,400,019,452,054,162,976,490,129,417,269,
406,070,823,445,380,124,002,614,843,118,467,741,270,902,502,844,829,959,490,
267,020,383,857,706,090,060,297,671,966,565,610,010,218,320,983,270,475,137,
759,886,566,314,962,157,550,767,680,246,260,292,139,708,186,435,918,444,101,
096,428,145,722,666,510,906,030,741,529,962,384,763,191,247,925,125,833,859,
473,216,069,788,676,564,333,860,323,747,519,949,759,756,251,282,736,753,379,
935,492,614,516,819,255,217,214,824,796,079,236,014,909,500,864,091,724,620,
976,541,136,356,638,479,235,398,799,602,636,832,802,591,176,398,942,425,970,
145,113,770,650,085,662,284,781,809,162,563,056,222,891,320,690,617,858,747,
964,328,151,469,718,978,779,189,982,193,843,399,884,511,416,435,061,215,013,
273,814,889,723,466,805,710,122,500,014,644,035,315,850,157,082,425,044,361,
416,321,928,972,117,273,479,136,387,433,595,844,241,964,969,391,835,662,675,
616,264,976,627,005,362,979,759,501,445,214,809,324,049,359,064,181,519,061,
917,674,357,644,048,477,339,827,894,574,888,333,437,693,561,789,164,013,276,
456,997,595,596,070,668,568,350,078,943,206,308,065,604,896,115,310,937,688,
931,297,871,887,646,310,553,648,393,873,434,943,039,919,900,892,456,525,370,
932,111,473,391,768,302,043,387,542,542,036,037,859,484,219,128,015,450,755,
072,201,634,946,852,800,315,675,143,166,026,179,875,177,090,735,026,030,121,
587,626,252,461,576,772,897,354,367,090,538,996,881,766,003,140,878,044,838,
795,015,742,461,616,924,862,862,770,255,507,115,523,035,650,393,967,504,963,
936,001,663,335,287,355,833,466,081,238,856,874,498,135,027,244,364,872,114,
134,212,958,897,904,401,005,670,705,545,934,414,906,771,111,190,126,625,110,
446,252,828,902,931,759,539,636,782,416,228,336,088,838,868,615,528,052,668,
194,180,726,827,613,499,893,491,888,048,026,960,979,586,462,669,219,444,927,
668,935,326,402,943,052,039,953,596,193,748,981,994,289,082,639,261,197,514,
663,464,580,358,125,960,337,675,686,498,938,587,570,568,548,813,549,466,844,
950,475,934,376,124,019,269,653,611,657,447,784,688,320,508,498,400,332,947,
012,843,622,310,860,440,986,253,284,826,435,938,266,356,526,246,616,109,954,
405,365,627,320,863,248,262,869,897,923,358,435,225,838,275,679,156,726,987,
088,537,493,264,314,554,134,183,667,534,582,006,433,782,801,182,992,277,559,
475,744,368,632,015,703,623,028,277,556,148,142,428,878,499,032,700,809,482,
323,425,551,430,078,120,775,015,381,400,903,629,200,183,794,227,361,737,764,
384,586,598,658,727,058,516,388,348,281,769,168,069,249,564,965,074,257,003,
074,057,610,356,980,624,212,069,491,959,190,035,110,669,790,154,148,254,767,
650,223,289,278,812,146,671,532,663,448,996,448,839,997,854,804,926,567,494,
832,160,799,565,267,594,079,753,234,656,212,179,191,290,432,984,910,053,759,
850,172,275,244,286,882,054,014,935,814,607,269,004,668,475,407,701,302,856,
483,831,485,046,711,391,054,585,238,170,865,165,868,279,871,487,294,585,499,
850,368,686,367,677,470,124,594,221,038,913,904,526,790,521,654,877,988,354,
920,913,468,530,128,450,819,769,365,092,714,669,580,127,826,250,634,577,061,
701,856,308,661,037,313,020,590,072,416,021,399,228,771,489,537,183,448,259,
855,587,481,305,378,614,012,273,145,597,133,475,153,018,867,826,104,696,707,
425,689,037,489,714,017,128,645,677,780,439,326,851,680,410,679,900,410,658,
162,038,842,344,615,921,334,596,489,498,792,019,851,656,781,543,113,465,527,
441,658,489,782,892,612,532,577,358,066,239,851,245,639,770,029,085,173,205,
607,868,388,421,390,181,185,812,867,068,784,876,097,583,216,136,237,070,450,
913,001,344,744,086,229,148,389,775,970,790,843,291,551,797,522,649,971,507,
394,757,757,194,291,978,238,932,634,421,218,509,528,685,028,337,153,852,594,
907,353,662,876,961,935,844,440,280,968,639,739,691,407,842,003,254,076,744,
770,803,841,695,867,267,321,142,964,859,546,531,859,810,665,377,562,098,050,
893,379,640,862,558,819,660,796,149,973,980,166,494,806,394,633,953,778,654,
080,826,963,351,821,140,113,152,143,213,549,943,797,409,751,691,413,791,505,
313,686,658,664,437,039,579,109,704,598,023,613,592,515,798,815,137,223,761,
067,934,736,721,156,508,272,232,245,196,901,691,564,274,216,347,584,224,748,
715,948,026,332,330,050,503,857,868,667,453,649,334,803,670,358,401,638,880,
918,545,937,583,333,233,602,211,031,983,448,920,456,642,540,767,979,728,472,
746,645,399,011,600,104,439,362,039,719,552,692,713,524,331,474,203,179,211,
254,868,033,567,326,402,089,375,599,389,668,019,559,126,540,176,235,009,040,
357,021,998,058,362,046,932,209,257,578,721,362,497,535,148,724,173,442,112,
770,079,274,595,544,582,461,371,606,419,022,179,596,711,396,086,373,911,933,
769,840,184,687,049,538,971,411,321,294,003,827,390,643,455,403,559,440,635,
992,195,068,331,263,313,188,177,845,812,177,043,826,503,082,120,618,382,480,
151,997,475,615,656,343,269,932,244,545,169,972,261,769,171,615,938,058,173,
257,608,804,086,211,491,101,711,001,412,499,219,880,911,810,025,275,659,429,
757,042,308,225,247,118,089,381,962,062,924,655,086,634,050,008,003,656,587,
457,347,572,079,795,698,576,609,814,771,863,584,635,829,197,371,016,996,789,
522,923,042,870,634,253,537,117,452,676,624,963,223,028,239,469,515,562,234,
399,863,786,035,819,500,309,658,628,946,305,294,014,816,904,979,324,303,765,
086,501,967,741,319,461,813,508,299,975,876,155,126,982,942,978,309,623,958,
975,643,703,057,685,948,650,976,194,998,927,228,337,273,611,278,637,312,246,
215,907,743,069,359,924,978,057,995,111,952,559,786,154,300,415,913,641,483,
456,646,991,185,630,914,323,606,240,050,331,535,477,892,771,638,510,088,010,
081,033,132,560,041,850,469,493,875,531,938,912,458,907,211,958,060,640,008,
857,110,063,695,991,787,903,894,243,772,481,186,062,751,220,763,657,761,707,
708,531,761,556,741,487,551,538,721,909,610,848,606,427,361,891,998,342,745,
967,576,060,935,388,523,105,756,332,524,482,299,504,459,108,300,134,594,559,
123,187,465,792,901,409,455,919,860,948,078,959,745,444,485,945,505,263,099,
709,825,737,679,209,759,041,675,417,778,487,961,639,572,379,307,544,767,397,
671,897,751,132,165,793,091,154,084,615,187,926,110,518,602,584,625,469,473,
577,026,921,951,759,033,855,124,152,971,874,916,486,759,386,139,013,080,545,
810,061,142,982,864,676,242,657,413,637,756,582,071,458,537,297,626,102,354,
809,116,109,062,678,967,483,782,722,856,159,459,345,162,889,381,328,009,035,
003,980,680,252,851,575,837,133,615,185,275,041,952,796,157,001,188,577,467,
730,990,501,989,134,965,072,776,292,882,096,895,552,600,029,440,072,569,541,
503,282,088,045,461,782,663,358,838,016,635,848,492,863,722,981,044,493,623,
592,764,081,697,596,822,998,796,554,448,856,170,400,865,509,253,692,581,283,
521,692,893,882,695,918,379,631,037,579,172,865,411,643,345,861,526,549,570,
070,797,812,073,504,295,999,030,275,796,780,357,001,438,309,338,098,362,720,
790,307,181,303,690,493,672,093,387,916,846,071,411,866,095,823,353,135,216,
395,878,927,085,313,963,621,446,240,172,783,099,778,931,020,082,470,937,457,
838,851,795,843,279,311,219,383,270,908,061,801,542,020,660,663,279,297,344,
506,018,611,238,859,029,586,968,774,115,108,240,174,480,569,406,318,908,238,
994,868,259,936,994,799,979,191,424,398,527,142,981,546,814,272,287,866,837,
038,112,919,735,574,528,374,629,474,339,378,512,900,104,413,039,569,305,366,
969,034,518,588,867,274,384,505,126,314,079,695,883,187,426,866,520,852,507,
380,892,197,455,215,449,469,676,403,827,986,365,603,325,896,293,022,840,200,
222,697,116,524,907,543,474,352,898,173,183,220,711,793,890,823,605,427,239,
230,374,022,464,583,791,498,108,516,096,651,941,531,831,077,306,760,048,251,
626,923,986,574,808,348,991,960,567,376,233,078,022,273,512,856,103,606,338,
489,896,071,806,223,040,471,740,901,152,025,739,775,119,018,539,786,559,696,
470,900,791,914,994,397,420,334,882,990,185,749,340,358,550,066,943,162,297,
968,298,955,631,117,233,175,003,423,616,560,466,506,367,215,091,908,107,094,
543,661,006,678,234,988,372,385,470,372,903,757,551,972,770,317,294,030,289,
852,910,622,970,134,409,375,265,864,202,889,753,455,558,324,774,474,225,662,
721,384,861,738,960,925,208,593,316,166,491,532,265,584,412,494,440,806,430,
685,671,048,918,856,570,536,383,086,664,174,199,128,610,951,830,868,733,698,
613,786,566,883,553,122,509,627,521,230,517,316,296,197,390,350,060,529,385,
166,455,511,667,284,240,993,102,068,396,220,573,203,003,087,936,913,866,458,
669,547,631,802,098,826,854,946,438,903,455,588,403,606,665,848,346,740,679,
777,269,535,233,329,682,986,777,533,620,656,465,076,584,414,942,688,752,643,
016,245,351,379,067,724,515,726,546,241,051,125,309,689,176,387,422,133,342,
295,752,626,474,045,342,405,463,141,629,837,860,910,450,582,924,860,829,269,
475,687,002,327,954,600,687,226,254,626,289,484,183,249,393,114,745,481,611,
872,495,581,167,306,640,288,866,856,196,065,201,588,957,238,029,313,524,232,
022,982,438,668,055,019,223,233,857,857,364,169,173,632,362,399,660,964,342,
028,648,200,632,651,400,576,768,695,567,233,029,329,251,446,787,288,913,188,
773,275,907,934,256,151,112,043,327,500,686,517,901,188,086,888,778,847,185,
075,860,106,272,820,653,680,466,783,212,933,175,016,283,616,419,298,193,149,
792,979,476,367,242,716,268,375,669,489,643,861,018,016,901,885,338,256,195,
037,134,550,942,282,309,562,403,993,134,406,134,878,940,557,808,663,304,578,
589,720,243,252,076,458,248,002,074,697,586,979,772,998,418,797,357,374,806,
974,223,439,873,088,234,129,795,300,519,337,831,120,644,803,334,533,527,504,
893,847,831,549,063,714,920,871,053,099,544,055,243,504,197,203,788,230,351,
224,710,672,261,311,873,349,236,785,367,615,811,383,117,400,544,136,650,316,
831,832,637,841,348,272,824,399,671,229,971,380,647,054,578,741,285,163,040,
339,931,942,130,702,213,779,259,043,629,366,397,913,381,077,223,258,595,652,
232,165,315,593,680,812,985,464,321,544,660,412,502,299,899,310,148,984,347,
982,122,792,504,489,033,014,199,225,489,090,236,883,330,233,859,803,635,371,
265,614,452,529,937,507,684,030,651,628,129,973,939,913,446,201,664,550,230,
249,735,769,199,349,948,140,789,206,044,698,938,869,214,207,806,686,809,965,
680,822,865,353,855,619,694,722,407,931,745,953,668,269,301,166,522,276,766,
935,141,883,085,481,276,269,115,963,971,687,513,366,598,636,843,155,826,047,
981,712,986,896,506,006,839,701,932,027,911,788,852,053,210,874,050,304,743,
981,845,337,839,383,005,233,168,723,739,299,661,544,848,976,297,896,620,949,
349,160,795,398,128,425,138,078,379,561,039,354,961,895,057,162,197,387,990,
338,161,285,943,606,001,963,258,466,584,541,671,898,230,098,062,312,438,232,
485,223,426,731,987,911,985,906,877,173,690,520,172,262,068,442,913,345,932,
612,460,767,056,820,544,035,889,721,920,520,841,201,586,853,163,781,868,045,
251,400,674,605,779,282,829,744,168,928,812,857,227,696,337,496,623,114,140,
632,324,467,695,256,939,662,714,126,408,281,154,845,749,959,728,145,426,479,
187,045,263,824,825,175,724,157,365,719,229,706,988,628,621,318,797,571,222,
289,760,762,816,256,435,284,782,516,632,801,731,744,273,366,242,948,575,958,
510,067,991,187,457,596,676,995,011,549,989,789,058,751,172,540,665,665,004,
278,387,506,531,790,583,848,591,638,337,039,865,797,422,364,490,608,745,390,
024,222,086,831,104,099,985,898,014,193,488,525,489,731,666,505,062,852,133,
488,186,731,029,890,461,451,683,810,460,136,424,153,880,474,628,197,206,601,
592,378,615,807,563,675,297,127,630,016,609,878,790,199,251,747,134,903,875,
971,377,341,085,611,229,699,881,991,909,726,888,741,874,197,514,070,005,463,
407,208,135,431,288,034,086,102,008,950,977,197,062,329,169,933,883,157,032,
118,163,450,412,296,421,796,513,221,856,902,565,781,167,546,512,804,937,408,
904,690,975,372,816,706,656,908,524,047,719,539,185,032,070,340,875,078,173,
930,236,715,626,633,500,829,994,385,964,467,078,317,855,005,721,467,073,264,
871,040,812,272,315,876,554,839,218,532,525,727,941,442,162,850,575,479,396,
238,727,304,783,618,683,135,557,185,421,085,920,136,009,486,145,152,107,282,
598,122,436,069,919,059,009,598,630,111,418,460,184,747,271,124,907,371,467,
265,972,248,346,318,461,112,327,479,356,289,990,515,533,843,260,405,491,367,
427,626,008,276,227,206,094,558,065,800,312,231,821,294,680,462,340,184,192,
587,621,357,307,068,969,251,426,658,326,457,028,079,129,106,111,929,445,250,
621,767,677,218,372,957,381,446,204,479,538,039,697,450,694,239,364,690,785,
942,261,106,975,136,482,624,171,376,923,465,176,641,505,951,307,297,990,328,
265,304,803,869,034,391,757,700,708,040,105,312,699,243,412,521,242,066,014,
192,542,993,301,311,671,473,024,143,343,861,843,989,097,193,157,954,247,773,
096,503,818,151,665,705,461,465,384,627,419,672,459,406,069,932,944,009,043,
564,969,605,203,527,468,997,811,692,536,891,717,681,381,131,368,151,822,854,
489,726,534,755,577,269,877,213,257,641,503,564,138,803,673,189,286,635,036,
825,526,581,987,664,930,655,265,151,498,150,472,811,821,655,643,790,790,201,
074,455,218,525,410,247,807,397,996,526,586,262,793,528,182,303,614,026,639,
997,751,403,932,022,624,652,939,453,243,164,965,366,328,097,821,687,861,818,
261,538,173,155,080,161,243,882,977,873,338,828,856,980,805,401,637,714,546,
631,553,760,926,788,233,994,209,710,348,647,044,100,196,600,019,184,643,145,
057,784,929,876,724,387,031,810,462,831,182,639,259,314,010,422,022,640,346,
482,454,024,824,449,559,359,110,364,496,373,416,649,587,037,438,573,945,261,
769,578,929,895,446,401,461,133,874,437,459,900,530,623,259,485,749,020,944,
790,262,555,389,600,824,222,253,996,182,001,830,932,258,195,582,238,176,120,
741,246,670,694,038,284,988,207,000,465,909,751,338,695,415,003,922,107,955,
964,501,235,825,048,456,580,257,790,567,106,691,647,500,318,198,652,856,504,
701,649,854,033,547,838,858,241,899,034,442,921,089,080,794,653,071,769,348,
316,538,350,454,533,815,358,940,258,751,012,093,771,351,762,141,831,918,085,
275,171,828,955,209,730,682,489,646,338,034,365,462,319,263,946,823,917,017,
918,492,376,657,916,834,865,565,567,700,707,983,430,251,094,304,609,251,406,
300,305,498,987,095,094,298,015,745,571,813,978,416,784,383,772,367,177,394,
707,034,567,917,556,889,044,571,863,733,552,551,012,655,843,087,978,034,449,
212,924,233,217,892,265,284,300,799,608,309,191,239,540,728,316,722,202,684,
044,901,147,309,293,747,343,355,639,070,176,194,977,372,072,409,618,493,567,
799,195,933,700,890,634,712,539,213,296,714,833,394,335,049,635,474,052,596,
011,161,849,409,462,531,123,405,307,905,770,344,828,711,358,607,535,390,337,
317,420,690,773,050,422,240,796,972,296,890,151,089,784,849,781,152,066,590,
502,424,435,034,016,081,228,045,576,532,827,214,777,318,653,051,343,791,204,
919,578,482,136,350,836,750,745,885,840,741,983,913,767,134,183,515,710,666,
113,097,497,298,585,451,110,691,619,569,859,777,595,790,911,518,076,377,138,
627,921,217,858,238,508,763,289,975,341,481,362,105,101,400,827,953,319,453,
293,277,879,289,314,292,424,699,949,887,768,100,433,955,424,697,776,596,026,
800,682,122,858,762,894,888,952,280,912,331,378,321,419,892,151,091,025,027,
258,674,683,811,867,562,447,284,794,554,958,788,606,440,427,983,609,297,614,
767,027,682,832,001,389,166,354,884,285,992,848,723,528,493,502,368,050,620,
890,640,206,434,691,897,552,417,722,298,482,011,349,743,196,750,622,838,388,
228,262,297,116,708,895,347,380,716,623,832,025,415,749,614,472,006,082,085,
345,612,900,284,810,011,992,467,102,120,893,544,919,904,728,191,612,206,344,
758,707,309,199,371,124,232,909,385,455,216,429,965,898,047,899,480,779,093,
905,570,890,312,105,415,703,296,092,837,089,696,341,295,140,408,982,548,603,
840,692,029,750,331,801,881,295,354,074,074,684,965,727,999,436,597,373,159,
226,717,322,513,149,700,207,933,945,742,569,416,683,767,618,569,510,022,716,
596,008,182,767,556,163,488,712,488,802,648,847,996,082,133,166,702,332,873,
216,271,594,118,448,237,227,958,907,959,975,981,055,092,392,945,948,559,309,
736,366,777,758,862,724,270,118,147,170,002,960,589,954,786,932,818,995,374,
110,349,937,062,823,828,152,478,447,070,223,645,279,676,098,085,785,384,739,
981,036,949,428,901,009,722,641,119,204,258,776,229,027,296,266,671,394,846,
746,711,536,634,316,253,698,083,459,957,007,010,721,608,436,952,967,658,811,
092,866,372,917,987,816,240,712,822,697,572,264,957,122,569,740,460,717,336,
531,834,009,524,723,848,024,461,605,848,659,921,855,571,745,359,426,308,667,
127,117,954,101,893,175,746,671,502,452,851,657,543,211,658,647,868,008,798,
955,248,451,135,694,443,724,949,825,106,957,836,465,203,365,913,734,479,907,
587,105,542,995,982,895,452,640,135,380,461,044,297,736,553,066,437,137,038,
965,088,642,671,571,444,102,671,604,868,196,564,546,418,594,612,103,758,998,
807,754,357,426,417,274,609,879,445,235,618,326,622,704,903,167,194,666,506,
320,952,262,232,122,257,947,124,476,403,340,283,015,396,588,379,968,390,999,
179,196,273,450,631,789,608,006,865,438,762,181,875,446,610,598,947,795,622,
941,697,314,809,448,059,092,358,391,654,005,059,739,336,413,593,774,423,182,
648,102,634,068,553,983,921,719,514,166,039,158,556,622,153,436,856,233,827,
008,179,245,519,369,315,319,473,321,871,932,348,827,555,493,133,801,280,771,
905,160,172,074,776,362,220,391,892,918,825,164,824,508,500,816,420,171,345,
272,981,817,653,068,486,555,188,242,392,252,304,595,105,426,321,521,817,371,
737,830,023,569,379,294,112,895,057,751,390,984,005,056,162,229,236,150,406,
615,235,319,442,973,143,872,255,536,032,791,697,276,031,059,880,455,071,095,
776,888,997,004,839,732,946,058,078,527,991,773,194,940,699,562,674,897,118,
297,549,331,687,922,363,737,208,730,715,418,161,240,847,482,528,768,053,359,
859,890,345,178,371,845,170,044,150,307,411,398,721,408,960,193,919,538,774,
169,955,486,015,674,538,426,166,448,885,577,636,756,310,926,101,606,160,404,
194,408,149,061,569,444,141,062,101,621,936,029,678,326,251,484,802,838,853,
403,922,853,236,586,760,312,815,456,172,283,622,163,443,646,771,063,381,548,
523,021,298,104,195,952,042,455,679,532,219,764,411,350,760,489,986,066,850,
124,587,114,971,383,232,870,482,823,596,267,979,570,801,270,385,988,119,704,
602,785,071,646,419,295,295,276,796,644,789,652,038,924,042,131,631,201,724,
414,606,695,320,377,555,946,943,829,145,352,028,972,913,572,863,076,965,877,
347,770,726,376,505,953,614,337,202,077,473,521,686,059,322,413,774,938,138,
928,502,921,364,820,815,949,327,945,638,219,790,513,120,605,095,935,465,140,
329,461,241,909,617,942,221,153,757,384,225,738,381,083,577,041,303,115,996,
666,049,769,952,890,180,797,240,963,455,086,578,452,581,326,181,165,961,513,
041,712,909,161,562,022,598,911,070,385,843,519,012,188,439,811,301,685,926,
822,782,340,844,199,937,618,314,293,416,428,823,903,634,137,510,618,570,849,
539,902,127,921,196,803,271,847,677,397,430,041,272,495,845,599,899,563,867,
878,845,631,466,763,000,564,916,566,181,522,164,955,027,218,965,161,683,902,
009,401,011,796,746,839,715,718,911,482,307,071,492,174,683,245,078,782,974,
706,585,758,811,896,313,584,165,516,766,555,540,370,145,770,509,118,700,078,
248,512,509,878,451,219,632,435,843,089,316,921,527,536,957,549,825,046,188,
201,116,927,494,514,560,922,558,775,014,179,963,838,463,610,475,965,423,252,
983,553,961,178,651,783,214,524,948,673,340,804,128,015,380,208,274,380,215,
212,927,578,095,844,918,259,261,774,498,612,544,558,582,011,477,731,489,411,
837,580,925,972,679,108,451,505,690,014,968,426,149,290,695,691,353,546,802,
209,784,083,304,012,884,240,125,831,905,366,426,234,687,221,344,333,117,182,
356,558,601,602,660,095,188,643,115,182,950,718,633,964,481,667,750,847,449,
441,601,415,786,178,220,847,689,946,520,420,988,962,636,106,924,095,918,797,
982,529,276,280,962,972,965,832,211,066,035,198,677,771,173,960,088,304,703,
091,247,365,396,550,357,013,343,615,328,110,851,326,023,679,743,842,784,344,
494,081,333,671,477,513,944,199,906,303,200,157,351,563,248,321,274,704,364,
874,197,144,953,133,906,535,183,793,098,592,387,343,851,253,645,342,528,315,
991,454,764,103,140,415,087,739,962,763,517,046,363,418,882,883,301,253,418,
420,508,480,086,071,861,641,260,259,834,432,990,359,392,720,427,546,927,394,
822,772,356,662,703,494,716,348,607,365,835,742,188,323,153,340,798,870,741,
596,614,299,652,074,655,138,782,634,161,286,784,929,409,852,292,199,084,384,
609,568,612,319,505,547,942,970,360,881,145,917,154,942,282,601,272,957,194,
264,970,379,212,619,641,445,396,695,083,016,807,793,299,885,009,443,729,176,
649,705,243,208,887,245,074,139,265,106,810,631,038,926,467,390,589,217,036,
948,212,381,175,259,055,543,004,059,673,923,764,064,419,430,804,815,083,124,
848,056,009,130,406,435,293,925,380,408,196,167,566,736,852,489,101,603,049,
461,403,153,551,849,206,704,651,451,466,049,618,281,577,298,498,018,525,565,
285,601,613,944,841,796,993,010,158,710,678,494,714,424,698,824,329,471,176,
973,733,207,607,706,824,917,835,001,658,547,495,488,786,477,028,120,283,835,
298,920,424,607,765,482,638,324,986,729,444,002,623,914,513,424,935,351,420,
098,491,294,992,858,035,243,664,785,820,403,384,994,436,900,235,514,788,926,
645,991,394,050,504,291,503,829,069,599,630,463,295,060,484,308,917,904,877,
068,277,645,519,894,029,185,337,778,335,311,970,770,726,615,474,117,407,554,
928,439,677,298,083,043,423,773,634,297,828,241,031,279,259,465,355,679,731,
211,045,948,785,780,157,274,859,604,744,300,215,547,957,476,682,544,263,507,
552,776,973,239,914,490,242,892,789,619,878,859,937,621,650,705,919,354,331,
612,872,676,450,400,827,359,530,079,761,478,764,461,208,430,361,598,689,168,
296,945,973,334,426,899,933,211,284,612,727,140,471,724,928,166,676,357,315,
484,123,929,837,075,765,070,868,332,039,365,814,560,162,986,749,892,073,286,
886,347,186,103,932,113,369,654,157,969,097,385,165,332,918,712,882,533,763,
400,374,859,445,957,508,828,714,345,110,543,967,038,486,472,714,999,942,326,
125,004,862,532,229,261,427,612,062,081,980,286,661,396,753,428,466,414,675,
896,518,743,844,434,563,696,786,327,149,033,086,070,427,924,265,226,191,311,
471,158,843,109,226,514,920,053,503,938,056,441,049,999,578,168,766,060,888,
542,798,989,049,729,314,182,072,433,795,091,945,007,999,057,383,105,329,756,
874,980,191,515,558,176,029,860,879,306,273,081,226,200,943,880,221,774,907,
290,333,631,199,791,240,966,400,866,726,186,743,567,406,132,564,316,897,241,
276,897,060,430,777,499,555,057,201,286,169,491,912,183,881,109,054,170,993,
144,251,372,217,496,199,895,134,788,005,732,493,092,324,294,094,152,124,929,
665,014,672,542,891,601,611,488,279,865,869,490,790,865,955,875,541,062,096,
107,691,802,146,227,415,768,211,934,087,577,271,741,121,177,955,136,310,407,
824,142,927,453,057,489,791,095,737,019,406,641,880,242,956,525,799,415,283,
282,418,090,530,486,192,842,723,193,684,615,040,976,842,810,413,064,265,022,
671,980,208,390,900,276,277,578,520,746,719,220,139,361,536,866,159,633,432,
833,913,527,422,358,892,178,110,138,726,777,654,094,984,082,534,463,022,961,
011,156,859,792,656,497,457,840,526,003,115,693,104,287,458,806,149,204,595,
561,845,925,644,922,304,882,499,902,954,723,071,878,544,310,113,819,584,800,
419,252,553,422,861,872,784,092,813,830,595,941,616,638,278,533,825,810,597,
571,471,172,312,825,048,087,031,626,116,908,613,699,924,103,647,264,317,698,
160,848,453,965,412,740,991,839,791,943,381,010,417,102,585,234,106,771,013,
797,356,910,115,278,624,496,541,064,170,431,438,836,389,347,606,442,956,651,
331,909,354,778,538,519,779,900,048,138,484,713,857,216,637,823,487,218,470,
507,619,438,863,940,005,583,051,916,544,885,046,647,357,818,079,447,042,852,
503,545,516,594,211,139,932,634,869,678,726,380,416,776,639,509,847,674,736,
574,295,054,658,848,632,269,687,552,754,400,754,416,514,719,690,145,294,345,
511,865,682,231,180,809,635,205,849,741,212,224,614,999,972,404,987,172,715,
794,438,609,519,699,514,086,474,134,188,953,180,438,083,164,792,021,742,385,
915,169,709,852,724,501,370,207,869,996,810,508,418,346,256,262,364,824,564,
482,569,389,436,427,471,813,489,484,075,416,881,240,613,202,820,150,979,170,
053,856,454,525,541,207,993,561,509,363,963,638,328,192,778,758,756,441,449,
854,848,721,850,703,893,432,344,951,223,896,686,111,837,628,637,433,417,335,
510,706,053,187,566,819,687,604,634,286,067,977,021,118,175,298,171,241,341,
097,487,594,600,395,192,741,556,381,852,381,260,975,181,995,625,517,397,040,
432,408,922,221,205,113,260,423,683,161,521,096,771,776,043,523,958,972,816,
340,396,357,935,614,586,346,602,157,188,758,230,452,060,726,567,880,539,425,
453,992,131,325,523,737,320,328,405,845,658,851,868,895,982,679,717,232,381,
231,251,142,750,620,711,154,725,407,653,599,454,505,858,086,073,955,002,951,
125,360,255,445,921,239,285,811,858,113,939,839,058,978,856,283,259,630,705,
952,174,899,987,843,352,562,245,905,779,649,371,352,121,250,567,581,580,360,
049,346,832,911,792,453,403,989,752,969,741,165,309,781,633,553,493,034,530,
585,687,768,969,357,679,076,183,530,460,787,264,411,970,753,430,553,710,412,
019,881,225,444,288,101,387,310,480,566,996,960,159,251,864,717,784,714,075,
642,204,860,114,257,662,320,964,804,023,465,881,548,516,063,447,520,443,030,
532,615,030,242,620,530,262,942,149,590,574,653,313,565,941,840,688,377,573,
216,631,730,140,918,189,282,474,326,281,323,547,883,861,546,477,987,824,070,
727,624,098,967,271,077,370,021,377,477,911,736,659,153,598,575,738,540,438,
234,632,491,452,311,311,479,773,685,932,116,421,047,321,034,744,056,107,991,
804,548,439,463,653,715,930,752,596,165,746,135,388,899,671,841,611,351,799,
629,241,697,087,391,915,996,021,171,141,393,801,548,660,198,288,003,103,499,
177,177,551,753,824,786,785,115,684,524,926,904,751,102,148,131,602,696,352,
700,238,360,894,394,052,882,530,428,523,438,409,694,910,136,060,377,698,834,
561,584,187,695,684,412,563,693,397,977,554,461,686,245,725,729,190,684,500,
177,215,571,505,818,267,581,002,970,482,280,638,805,478,957,216,578,865,832,
406,727,012,275,092,232,050,324,224,524,254,947,249,237,106,272,412,944,683,
523,902,908,701,661,170,683,509,406,202,734,593,115,547,256,068,022,328,042,
214,763,804,603,163,150,640,010,987,399,968,445,018,058,436,146,228,964,031,
206,796,805,707,161,202,703,445,075,763,916,864,854,045,937,912,270,449,927,
359,072,055,229,986,703,546,593,855,106,841,911,909,793,129,095,502,729,685,
014,812,138,253,962,715,723,001,628,396,476,731,956,614,121,221,818,961,053,
606,028,892,720,250,058,770,949,999,853,335,988,653,793,750,729,366,820,126,
476,264,394,987,626,609,477,220,845,540,800,195,281,651,136,133,825,964,359,
603,271,665,490,487,327,394,053,687,120,466,370,636,485,134,468,074,573,792,
546,068,628,826,577,257,607,044,158,072,423,088,024,338,915,359,540,501,853,
118,860,847,506,299,547,214,362,964,358,776,771,137,529,272,567,957,636,324,
309,139,016,608,001,067,574,079,680,076,361,387,786,504,819,008,149,610,861,
665,095,452,115,089,637,653,809,892,811,400,548,093,109,704,646,445,383,825,
726,993,565,584,504,461,517,951,984,638,576,379,934,773,502,674,509,186,382,
692,514,491,981,212,309,453,532,389,252,842,710,234,022,611,143,629,210,544,
352,961,414,111,210,326,328,114,141,243,558,646,398,657,305,432,602,454,701,
095,368,171,243,578,707,150,076,237,275,993,923,658,317,416,436,576,158,785,
448,045,433,197,048,994,883,628,816,773,675,252,375,459,532,725,568,991,345,
937,247,247,325,623,085,839,081,871,731,327,224,467,478,466,121,306,313,888,
432,669,051,675,917,464,164,403,335,493,532,779,337,430,854,271,911,848,245,
509,262,004,905,709,745,276,774,990,253,203,796,885,891,886,730,796,371,273,
448,086,013,156,313,268,169,172,421,517,008,583,272,483,148,380,813,240,387,
200,739,291,915,027,737,241,349,028,996,257,845,346,332,301,334,686,114,965,
734,472,703,536,736,749,036,499,754,079,066,288,310,616,264,290,846,923,992,
730,633,767,157,165,528,192,586,407,567,250,349,684,440,984,226,909,603,979,
372,243,736,908,282,925,046,810,300,252,714,062,572,817,440,315,023,787,830,
085,229,442,989,484,495,736,664,421,686,066,759,841,901,894,439,509,444,133,
278,805,279,448,913,587,843,534,273,283,175,577,740,084,532,316,536,589,655,
933,800,424,041,806,570,598,050,061,870,894,098,098,910,022,234,502,712,178,
172,504,983,919,773,937,921,203,719,705,169,228,673,274,335,472,788,238,478,
574,411,572,589,510,137,127,452,030,580,579,730,642,474,710,065,908,240,281,
200,685,041,827,056,411,954,337,444,908,081,694,397,023,499,496,826,726,604,
958,937,322,582,512,072,612,621,443,114,535,641,869,584,273,577,446,330,457,
465,821,333,212,445,737,104,635,692,000,092,659,011,752,880,154,053,967,871

Some useful links

Large prime numbers

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

Definitions and theory

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

Searching for Mersenne primes

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

EFF Cooperative Computing Awards

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

Source code

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

Other prime links

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